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Identifier

Mp00064: Permutations —reverse⟶ Permutations

Images

=>
            
              
            

            []=>[]
[1]=>[1]
[1,2]=>[2,1]
[2,1]=>[1,2]
[1,2,3]=>[3,2,1]
[1,3,2]=>[2,3,1]
[2,1,3]=>[3,1,2]
[2,3,1]=>[1,3,2]
[3,1,2]=>[2,1,3]
[3,2,1]=>[1,2,3]
[1,2,3,4]=>[4,3,2,1]
[1,2,4,3]=>[3,4,2,1]
[1,3,2,4]=>[4,2,3,1]
[1,3,4,2]=>[2,4,3,1]
[1,4,2,3]=>[3,2,4,1]
[1,4,3,2]=>[2,3,4,1]
[2,1,3,4]=>[4,3,1,2]
[2,1,4,3]=>[3,4,1,2]
[2,3,1,4]=>[4,1,3,2]
[2,3,4,1]=>[1,4,3,2]
[2,4,1,3]=>[3,1,4,2]
[2,4,3,1]=>[1,3,4,2]
[3,1,2,4]=>[4,2,1,3]
[3,1,4,2]=>[2,4,1,3]
[3,2,1,4]=>[4,1,2,3]
[3,2,4,1]=>[1,4,2,3]
[3,4,1,2]=>[2,1,4,3]
[3,4,2,1]=>[1,2,4,3]
[4,1,2,3]=>[3,2,1,4]
[4,1,3,2]=>[2,3,1,4]
[4,2,1,3]=>[3,1,2,4]
[4,2,3,1]=>[1,3,2,4]
[4,3,1,2]=>[2,1,3,4]
[4,3,2,1]=>[1,2,3,4]
[1,2,3,4,5]=>[5,4,3,2,1]
[1,2,3,5,4]=>[4,5,3,2,1]
[1,2,4,3,5]=>[5,3,4,2,1]
[1,2,4,5,3]=>[3,5,4,2,1]
[1,2,5,3,4]=>[4,3,5,2,1]
[1,2,5,4,3]=>[3,4,5,2,1]
[1,3,2,4,5]=>[5,4,2,3,1]
[1,3,2,5,4]=>[4,5,2,3,1]
[1,3,4,2,5]=>[5,2,4,3,1]
[1,3,4,5,2]=>[2,5,4,3,1]
[1,3,5,2,4]=>[4,2,5,3,1]
[1,3,5,4,2]=>[2,4,5,3,1]
[1,4,2,3,5]=>[5,3,2,4,1]
[1,4,2,5,3]=>[3,5,2,4,1]
[1,4,3,2,5]=>[5,2,3,4,1]
[1,4,3,5,2]=>[2,5,3,4,1]
[1,4,5,2,3]=>[3,2,5,4,1]
[1,4,5,3,2]=>[2,3,5,4,1]
[1,5,2,3,4]=>[4,3,2,5,1]
[1,5,2,4,3]=>[3,4,2,5,1]
[1,5,3,2,4]=>[4,2,3,5,1]
[1,5,3,4,2]=>[2,4,3,5,1]
[1,5,4,2,3]=>[3,2,4,5,1]
[1,5,4,3,2]=>[2,3,4,5,1]
[2,1,3,4,5]=>[5,4,3,1,2]
[2,1,3,5,4]=>[4,5,3,1,2]
[2,1,4,3,5]=>[5,3,4,1,2]
[2,1,4,5,3]=>[3,5,4,1,2]
[2,1,5,3,4]=>[4,3,5,1,2]
[2,1,5,4,3]=>[3,4,5,1,2]
[2,3,1,4,5]=>[5,4,1,3,2]
[2,3,1,5,4]=>[4,5,1,3,2]
[2,3,4,1,5]=>[5,1,4,3,2]
[2,3,4,5,1]=>[1,5,4,3,2]
[2,3,5,1,4]=>[4,1,5,3,2]
[2,3,5,4,1]=>[1,4,5,3,2]
[2,4,1,3,5]=>[5,3,1,4,2]
[2,4,1,5,3]=>[3,5,1,4,2]
[2,4,3,1,5]=>[5,1,3,4,2]
[2,4,3,5,1]=>[1,5,3,4,2]
[2,4,5,1,3]=>[3,1,5,4,2]
[2,4,5,3,1]=>[1,3,5,4,2]
[2,5,1,3,4]=>[4,3,1,5,2]
[2,5,1,4,3]=>[3,4,1,5,2]
[2,5,3,1,4]=>[4,1,3,5,2]
[2,5,3,4,1]=>[1,4,3,5,2]
[2,5,4,1,3]=>[3,1,4,5,2]
[2,5,4,3,1]=>[1,3,4,5,2]
[3,1,2,4,5]=>[5,4,2,1,3]
[3,1,2,5,4]=>[4,5,2,1,3]
[3,1,4,2,5]=>[5,2,4,1,3]
[3,1,4,5,2]=>[2,5,4,1,3]
[3,1,5,2,4]=>[4,2,5,1,3]
[3,1,5,4,2]=>[2,4,5,1,3]
[3,2,1,4,5]=>[5,4,1,2,3]
[3,2,1,5,4]=>[4,5,1,2,3]
[3,2,4,1,5]=>[5,1,4,2,3]
[3,2,4,5,1]=>[1,5,4,2,3]
[3,2,5,1,4]=>[4,1,5,2,3]
[3,2,5,4,1]=>[1,4,5,2,3]
[3,4,1,2,5]=>[5,2,1,4,3]
[3,4,1,5,2]=>[2,5,1,4,3]
[3,4,2,1,5]=>[5,1,2,4,3]
[3,4,2,5,1]=>[1,5,2,4,3]
[3,4,5,1,2]=>[2,1,5,4,3]
[3,4,5,2,1]=>[1,2,5,4,3]
[3,5,1,2,4]=>[4,2,1,5,3]
[3,5,1,4,2]=>[2,4,1,5,3]
[3,5,2,1,4]=>[4,1,2,5,3]
[3,5,2,4,1]=>[1,4,2,5,3]
[3,5,4,1,2]=>[2,1,4,5,3]
[3,5,4,2,1]=>[1,2,4,5,3]
[4,1,2,3,5]=>[5,3,2,1,4]
[4,1,2,5,3]=>[3,5,2,1,4]
[4,1,3,2,5]=>[5,2,3,1,4]
[4,1,3,5,2]=>[2,5,3,1,4]
[4,1,5,2,3]=>[3,2,5,1,4]
[4,1,5,3,2]=>[2,3,5,1,4]
[4,2,1,3,5]=>[5,3,1,2,4]
[4,2,1,5,3]=>[3,5,1,2,4]
[4,2,3,1,5]=>[5,1,3,2,4]
[4,2,3,5,1]=>[1,5,3,2,4]
[4,2,5,1,3]=>[3,1,5,2,4]
[4,2,5,3,1]=>[1,3,5,2,4]
[4,3,1,2,5]=>[5,2,1,3,4]
[4,3,1,5,2]=>[2,5,1,3,4]
[4,3,2,1,5]=>[5,1,2,3,4]
[4,3,2,5,1]=>[1,5,2,3,4]
[4,3,5,1,2]=>[2,1,5,3,4]
[4,3,5,2,1]=>[1,2,5,3,4]
[4,5,1,2,3]=>[3,2,1,5,4]
[4,5,1,3,2]=>[2,3,1,5,4]
[4,5,2,1,3]=>[3,1,2,5,4]
[4,5,2,3,1]=>[1,3,2,5,4]
[4,5,3,1,2]=>[2,1,3,5,4]
[4,5,3,2,1]=>[1,2,3,5,4]
[5,1,2,3,4]=>[4,3,2,1,5]
[5,1,2,4,3]=>[3,4,2,1,5]
[5,1,3,2,4]=>[4,2,3,1,5]
[5,1,3,4,2]=>[2,4,3,1,5]
[5,1,4,2,3]=>[3,2,4,1,5]
[5,1,4,3,2]=>[2,3,4,1,5]
[5,2,1,3,4]=>[4,3,1,2,5]
[5,2,1,4,3]=>[3,4,1,2,5]
[5,2,3,1,4]=>[4,1,3,2,5]
[5,2,3,4,1]=>[1,4,3,2,5]
[5,2,4,1,3]=>[3,1,4,2,5]
[5,2,4,3,1]=>[1,3,4,2,5]
[5,3,1,2,4]=>[4,2,1,3,5]
[5,3,1,4,2]=>[2,4,1,3,5]
[5,3,2,1,4]=>[4,1,2,3,5]
[5,3,2,4,1]=>[1,4,2,3,5]
[5,3,4,1,2]=>[2,1,4,3,5]
[5,3,4,2,1]=>[1,2,4,3,5]
[5,4,1,2,3]=>[3,2,1,4,5]
[5,4,1,3,2]=>[2,3,1,4,5]
[5,4,2,1,3]=>[3,1,2,4,5]
[5,4,2,3,1]=>[1,3,2,4,5]
[5,4,3,1,2]=>[2,1,3,4,5]
[5,4,3,2,1]=>[1,2,3,4,5]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]
[1,2,3,4,6,5]=>[5,6,4,3,2,1]
[1,2,3,5,4,6]=>[6,4,5,3,2,1]
[1,2,3,5,6,4]=>[4,6,5,3,2,1]
[1,2,3,6,4,5]=>[5,4,6,3,2,1]
[1,2,3,6,5,4]=>[4,5,6,3,2,1]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]
[1,2,4,3,6,5]=>[5,6,3,4,2,1]
[1,2,4,5,3,6]=>[6,3,5,4,2,1]
[1,2,4,5,6,3]=>[3,6,5,4,2,1]
[1,2,4,6,3,5]=>[5,3,6,4,2,1]
[1,2,4,6,5,3]=>[3,5,6,4,2,1]
[1,2,5,3,4,6]=>[6,4,3,5,2,1]
[1,2,5,3,6,4]=>[4,6,3,5,2,1]
[1,2,5,4,3,6]=>[6,3,4,5,2,1]
[1,2,5,4,6,3]=>[3,6,4,5,2,1]
[1,2,5,6,3,4]=>[4,3,6,5,2,1]
[1,2,5,6,4,3]=>[3,4,6,5,2,1]
[1,2,6,3,4,5]=>[5,4,3,6,2,1]
[1,2,6,3,5,4]=>[4,5,3,6,2,1]
[1,2,6,4,3,5]=>[5,3,4,6,2,1]
[1,2,6,4,5,3]=>[3,5,4,6,2,1]
[1,2,6,5,3,4]=>[4,3,5,6,2,1]
[1,2,6,5,4,3]=>[3,4,5,6,2,1]
[1,3,2,4,5,6]=>[6,5,4,2,3,1]
[1,3,2,4,6,5]=>[5,6,4,2,3,1]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]
[1,3,2,5,6,4]=>[4,6,5,2,3,1]
[1,3,2,6,4,5]=>[5,4,6,2,3,1]
[1,3,2,6,5,4]=>[4,5,6,2,3,1]
[1,3,4,2,5,6]=>[6,5,2,4,3,1]
[1,3,4,2,6,5]=>[5,6,2,4,3,1]
[1,3,4,5,2,6]=>[6,2,5,4,3,1]
[1,3,4,5,6,2]=>[2,6,5,4,3,1]
[1,3,4,6,2,5]=>[5,2,6,4,3,1]
[1,3,4,6,5,2]=>[2,5,6,4,3,1]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]
[1,3,5,2,6,4]=>[4,6,2,5,3,1]
[1,3,5,4,2,6]=>[6,2,4,5,3,1]
[1,3,5,4,6,2]=>[2,6,4,5,3,1]
[1,3,5,6,2,4]=>[4,2,6,5,3,1]
[1,3,5,6,4,2]=>[2,4,6,5,3,1]
[1,3,6,2,4,5]=>[5,4,2,6,3,1]
[1,3,6,2,5,4]=>[4,5,2,6,3,1]
[1,3,6,4,2,5]=>[5,2,4,6,3,1]
[1,3,6,4,5,2]=>[2,5,4,6,3,1]
[1,3,6,5,2,4]=>[4,2,5,6,3,1]
[1,3,6,5,4,2]=>[2,4,5,6,3,1]
[1,4,2,3,5,6]=>[6,5,3,2,4,1]
[1,4,2,3,6,5]=>[5,6,3,2,4,1]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]
[1,4,2,5,6,3]=>[3,6,5,2,4,1]
[1,4,2,6,3,5]=>[5,3,6,2,4,1]
[1,4,2,6,5,3]=>[3,5,6,2,4,1]
[1,4,3,2,5,6]=>[6,5,2,3,4,1]
[1,4,3,2,6,5]=>[5,6,2,3,4,1]
[1,4,3,5,2,6]=>[6,2,5,3,4,1]
[1,4,3,5,6,2]=>[2,6,5,3,4,1]
[1,4,3,6,2,5]=>[5,2,6,3,4,1]
[1,4,3,6,5,2]=>[2,5,6,3,4,1]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]
[1,4,5,2,6,3]=>[3,6,2,5,4,1]
[1,4,5,3,2,6]=>[6,2,3,5,4,1]
[1,4,5,3,6,2]=>[2,6,3,5,4,1]
[1,4,5,6,2,3]=>[3,2,6,5,4,1]
[1,4,5,6,3,2]=>[2,3,6,5,4,1]
[1,4,6,2,3,5]=>[5,3,2,6,4,1]
[1,4,6,2,5,3]=>[3,5,2,6,4,1]
[1,4,6,3,2,5]=>[5,2,3,6,4,1]
[1,4,6,3,5,2]=>[2,5,3,6,4,1]
[1,4,6,5,2,3]=>[3,2,5,6,4,1]
[1,4,6,5,3,2]=>[2,3,5,6,4,1]
[1,5,2,3,4,6]=>[6,4,3,2,5,1]
[1,5,2,3,6,4]=>[4,6,3,2,5,1]
[1,5,2,4,3,6]=>[6,3,4,2,5,1]
[1,5,2,4,6,3]=>[3,6,4,2,5,1]
[1,5,2,6,3,4]=>[4,3,6,2,5,1]
[1,5,2,6,4,3]=>[3,4,6,2,5,1]
[1,5,3,2,4,6]=>[6,4,2,3,5,1]
[1,5,3,2,6,4]=>[4,6,2,3,5,1]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]
[1,5,3,4,6,2]=>[2,6,4,3,5,1]
[1,5,3,6,2,4]=>[4,2,6,3,5,1]
[1,5,3,6,4,2]=>[2,4,6,3,5,1]
[1,5,4,2,3,6]=>[6,3,2,4,5,1]
[1,5,4,2,6,3]=>[3,6,2,4,5,1]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]
[1,5,4,3,6,2]=>[2,6,3,4,5,1]
[1,5,4,6,2,3]=>[3,2,6,4,5,1]
[1,5,4,6,3,2]=>[2,3,6,4,5,1]
[1,5,6,2,3,4]=>[4,3,2,6,5,1]
[1,5,6,2,4,3]=>[3,4,2,6,5,1]
[1,5,6,3,2,4]=>[4,2,3,6,5,1]
[1,5,6,3,4,2]=>[2,4,3,6,5,1]
[1,5,6,4,2,3]=>[3,2,4,6,5,1]
[1,5,6,4,3,2]=>[2,3,4,6,5,1]
[1,6,2,3,4,5]=>[5,4,3,2,6,1]
[1,6,2,3,5,4]=>[4,5,3,2,6,1]
[1,6,2,4,3,5]=>[5,3,4,2,6,1]
[1,6,2,4,5,3]=>[3,5,4,2,6,1]
[1,6,2,5,3,4]=>[4,3,5,2,6,1]
[1,6,2,5,4,3]=>[3,4,5,2,6,1]
[1,6,3,2,4,5]=>[5,4,2,3,6,1]
[1,6,3,2,5,4]=>[4,5,2,3,6,1]
[1,6,3,4,2,5]=>[5,2,4,3,6,1]
[1,6,3,4,5,2]=>[2,5,4,3,6,1]
[1,6,3,5,2,4]=>[4,2,5,3,6,1]
[1,6,3,5,4,2]=>[2,4,5,3,6,1]
[1,6,4,2,3,5]=>[5,3,2,4,6,1]
[1,6,4,2,5,3]=>[3,5,2,4,6,1]
[1,6,4,3,2,5]=>[5,2,3,4,6,1]
[1,6,4,3,5,2]=>[2,5,3,4,6,1]
[1,6,4,5,2,3]=>[3,2,5,4,6,1]
[1,6,4,5,3,2]=>[2,3,5,4,6,1]
[1,6,5,2,3,4]=>[4,3,2,5,6,1]
[1,6,5,2,4,3]=>[3,4,2,5,6,1]
[1,6,5,3,2,4]=>[4,2,3,5,6,1]
[1,6,5,3,4,2]=>[2,4,3,5,6,1]
[1,6,5,4,2,3]=>[3,2,4,5,6,1]
[1,6,5,4,3,2]=>[2,3,4,5,6,1]
[2,1,3,4,5,6]=>[6,5,4,3,1,2]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]
[2,1,3,5,4,6]=>[6,4,5,3,1,2]
[2,1,3,5,6,4]=>[4,6,5,3,1,2]
[2,1,3,6,4,5]=>[5,4,6,3,1,2]
[2,1,3,6,5,4]=>[4,5,6,3,1,2]
[2,1,4,3,5,6]=>[6,5,3,4,1,2]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]
[2,1,4,5,3,6]=>[6,3,5,4,1,2]
[2,1,4,5,6,3]=>[3,6,5,4,1,2]
[2,1,4,6,3,5]=>[5,3,6,4,1,2]
[2,1,4,6,5,3]=>[3,5,6,4,1,2]
[2,1,5,3,4,6]=>[6,4,3,5,1,2]
[2,1,5,3,6,4]=>[4,6,3,5,1,2]
[2,1,5,4,3,6]=>[6,3,4,5,1,2]
[2,1,5,4,6,3]=>[3,6,4,5,1,2]
[2,1,5,6,3,4]=>[4,3,6,5,1,2]
[2,1,5,6,4,3]=>[3,4,6,5,1,2]
[2,1,6,3,4,5]=>[5,4,3,6,1,2]
[2,1,6,3,5,4]=>[4,5,3,6,1,2]
[2,1,6,4,3,5]=>[5,3,4,6,1,2]
[2,1,6,4,5,3]=>[3,5,4,6,1,2]
[2,1,6,5,3,4]=>[4,3,5,6,1,2]
[2,1,6,5,4,3]=>[3,4,5,6,1,2]
[2,3,1,4,5,6]=>[6,5,4,1,3,2]
[2,3,1,4,6,5]=>[5,6,4,1,3,2]
[2,3,1,5,4,6]=>[6,4,5,1,3,2]
[2,3,1,5,6,4]=>[4,6,5,1,3,2]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]
[2,3,1,6,5,4]=>[4,5,6,1,3,2]
[2,3,4,1,5,6]=>[6,5,1,4,3,2]
[2,3,4,1,6,5]=>[5,6,1,4,3,2]
[2,3,4,5,1,6]=>[6,1,5,4,3,2]
[2,3,4,5,6,1]=>[1,6,5,4,3,2]
[2,3,4,6,1,5]=>[5,1,6,4,3,2]
[2,3,4,6,5,1]=>[1,5,6,4,3,2]
[2,3,5,1,4,6]=>[6,4,1,5,3,2]
[2,3,5,1,6,4]=>[4,6,1,5,3,2]
[2,3,5,4,1,6]=>[6,1,4,5,3,2]
[2,3,5,4,6,1]=>[1,6,4,5,3,2]
[2,3,5,6,1,4]=>[4,1,6,5,3,2]
[2,3,5,6,4,1]=>[1,4,6,5,3,2]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]
[2,3,6,1,5,4]=>[4,5,1,6,3,2]
[2,3,6,4,1,5]=>[5,1,4,6,3,2]
[2,3,6,4,5,1]=>[1,5,4,6,3,2]
[2,3,6,5,1,4]=>[4,1,5,6,3,2]
[2,3,6,5,4,1]=>[1,4,5,6,3,2]
[2,4,1,3,5,6]=>[6,5,3,1,4,2]
[2,4,1,3,6,5]=>[5,6,3,1,4,2]
[2,4,1,5,3,6]=>[6,3,5,1,4,2]
[2,4,1,5,6,3]=>[3,6,5,1,4,2]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]
[2,4,1,6,5,3]=>[3,5,6,1,4,2]
[2,4,3,1,5,6]=>[6,5,1,3,4,2]
[2,4,3,1,6,5]=>[5,6,1,3,4,2]
[2,4,3,5,1,6]=>[6,1,5,3,4,2]
[2,4,3,5,6,1]=>[1,6,5,3,4,2]
[2,4,3,6,1,5]=>[5,1,6,3,4,2]
[2,4,3,6,5,1]=>[1,5,6,3,4,2]
[2,4,5,1,3,6]=>[6,3,1,5,4,2]
[2,4,5,1,6,3]=>[3,6,1,5,4,2]
[2,4,5,3,1,6]=>[6,1,3,5,4,2]
[2,4,5,3,6,1]=>[1,6,3,5,4,2]
[2,4,5,6,1,3]=>[3,1,6,5,4,2]
[2,4,5,6,3,1]=>[1,3,6,5,4,2]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]
[2,4,6,1,5,3]=>[3,5,1,6,4,2]
[2,4,6,3,1,5]=>[5,1,3,6,4,2]
[2,4,6,3,5,1]=>[1,5,3,6,4,2]
[2,4,6,5,1,3]=>[3,1,5,6,4,2]
[2,4,6,5,3,1]=>[1,3,5,6,4,2]
[2,5,1,3,4,6]=>[6,4,3,1,5,2]
[2,5,1,3,6,4]=>[4,6,3,1,5,2]
[2,5,1,4,3,6]=>[6,3,4,1,5,2]
[2,5,1,4,6,3]=>[3,6,4,1,5,2]
[2,5,1,6,3,4]=>[4,3,6,1,5,2]
[2,5,1,6,4,3]=>[3,4,6,1,5,2]
[2,5,3,1,4,6]=>[6,4,1,3,5,2]
[2,5,3,1,6,4]=>[4,6,1,3,5,2]
[2,5,3,4,1,6]=>[6,1,4,3,5,2]
[2,5,3,4,6,1]=>[1,6,4,3,5,2]
[2,5,3,6,1,4]=>[4,1,6,3,5,2]
[2,5,3,6,4,1]=>[1,4,6,3,5,2]
[2,5,4,1,3,6]=>[6,3,1,4,5,2]
[2,5,4,1,6,3]=>[3,6,1,4,5,2]
[2,5,4,3,1,6]=>[6,1,3,4,5,2]
[2,5,4,3,6,1]=>[1,6,3,4,5,2]
[2,5,4,6,1,3]=>[3,1,6,4,5,2]
[2,5,4,6,3,1]=>[1,3,6,4,5,2]
[2,5,6,1,3,4]=>[4,3,1,6,5,2]
[2,5,6,1,4,3]=>[3,4,1,6,5,2]
[2,5,6,3,1,4]=>[4,1,3,6,5,2]
[2,5,6,3,4,1]=>[1,4,3,6,5,2]
[2,5,6,4,1,3]=>[3,1,4,6,5,2]
[2,5,6,4,3,1]=>[1,3,4,6,5,2]
[2,6,1,3,4,5]=>[5,4,3,1,6,2]
[2,6,1,3,5,4]=>[4,5,3,1,6,2]
[2,6,1,4,3,5]=>[5,3,4,1,6,2]
[2,6,1,4,5,3]=>[3,5,4,1,6,2]
[2,6,1,5,3,4]=>[4,3,5,1,6,2]
[2,6,1,5,4,3]=>[3,4,5,1,6,2]
[2,6,3,1,4,5]=>[5,4,1,3,6,2]
[2,6,3,1,5,4]=>[4,5,1,3,6,2]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]
[2,6,3,4,5,1]=>[1,5,4,3,6,2]
[2,6,3,5,1,4]=>[4,1,5,3,6,2]
[2,6,3,5,4,1]=>[1,4,5,3,6,2]
[2,6,4,1,3,5]=>[5,3,1,4,6,2]
[2,6,4,1,5,3]=>[3,5,1,4,6,2]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]
[2,6,4,3,5,1]=>[1,5,3,4,6,2]
[2,6,4,5,1,3]=>[3,1,5,4,6,2]
[2,6,4,5,3,1]=>[1,3,5,4,6,2]
[2,6,5,1,3,4]=>[4,3,1,5,6,2]
[2,6,5,1,4,3]=>[3,4,1,5,6,2]
[2,6,5,3,1,4]=>[4,1,3,5,6,2]
[2,6,5,3,4,1]=>[1,4,3,5,6,2]
[2,6,5,4,1,3]=>[3,1,4,5,6,2]
[2,6,5,4,3,1]=>[1,3,4,5,6,2]
[3,1,2,4,5,6]=>[6,5,4,2,1,3]
[3,1,2,4,6,5]=>[5,6,4,2,1,3]
[3,1,2,5,4,6]=>[6,4,5,2,1,3]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]
[3,1,2,6,4,5]=>[5,4,6,2,1,3]
[3,1,2,6,5,4]=>[4,5,6,2,1,3]
[3,1,4,2,5,6]=>[6,5,2,4,1,3]
[3,1,4,2,6,5]=>[5,6,2,4,1,3]
[3,1,4,5,2,6]=>[6,2,5,4,1,3]
[3,1,4,5,6,2]=>[2,6,5,4,1,3]
[3,1,4,6,2,5]=>[5,2,6,4,1,3]
[3,1,4,6,5,2]=>[2,5,6,4,1,3]
[3,1,5,2,4,6]=>[6,4,2,5,1,3]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]
[3,1,5,4,2,6]=>[6,2,4,5,1,3]
[3,1,5,4,6,2]=>[2,6,4,5,1,3]
[3,1,5,6,2,4]=>[4,2,6,5,1,3]
[3,1,5,6,4,2]=>[2,4,6,5,1,3]
[3,1,6,2,4,5]=>[5,4,2,6,1,3]
[3,1,6,2,5,4]=>[4,5,2,6,1,3]
[3,1,6,4,2,5]=>[5,2,4,6,1,3]
[3,1,6,4,5,2]=>[2,5,4,6,1,3]
[3,1,6,5,2,4]=>[4,2,5,6,1,3]
[3,1,6,5,4,2]=>[2,4,5,6,1,3]
[3,2,1,4,5,6]=>[6,5,4,1,2,3]
[3,2,1,4,6,5]=>[5,6,4,1,2,3]
[3,2,1,5,4,6]=>[6,4,5,1,2,3]
[3,2,1,5,6,4]=>[4,6,5,1,2,3]
[3,2,1,6,4,5]=>[5,4,6,1,2,3]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]
[3,2,4,1,5,6]=>[6,5,1,4,2,3]
[3,2,4,1,6,5]=>[5,6,1,4,2,3]
[3,2,4,5,1,6]=>[6,1,5,4,2,3]
[3,2,4,5,6,1]=>[1,6,5,4,2,3]
[3,2,4,6,1,5]=>[5,1,6,4,2,3]
[3,2,4,6,5,1]=>[1,5,6,4,2,3]
[3,2,5,1,4,6]=>[6,4,1,5,2,3]
[3,2,5,1,6,4]=>[4,6,1,5,2,3]
[3,2,5,4,1,6]=>[6,1,4,5,2,3]
[3,2,5,4,6,1]=>[1,6,4,5,2,3]
[3,2,5,6,1,4]=>[4,1,6,5,2,3]
[3,2,5,6,4,1]=>[1,4,6,5,2,3]
[3,2,6,1,4,5]=>[5,4,1,6,2,3]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]
[3,2,6,4,1,5]=>[5,1,4,6,2,3]
[3,2,6,4,5,1]=>[1,5,4,6,2,3]
[3,2,6,5,1,4]=>[4,1,5,6,2,3]
[3,2,6,5,4,1]=>[1,4,5,6,2,3]
[3,4,1,2,5,6]=>[6,5,2,1,4,3]
[3,4,1,2,6,5]=>[5,6,2,1,4,3]
[3,4,1,5,2,6]=>[6,2,5,1,4,3]
[3,4,1,5,6,2]=>[2,6,5,1,4,3]
[3,4,1,6,2,5]=>[5,2,6,1,4,3]
[3,4,1,6,5,2]=>[2,5,6,1,4,3]
[3,4,2,1,5,6]=>[6,5,1,2,4,3]
[3,4,2,1,6,5]=>[5,6,1,2,4,3]
[3,4,2,5,1,6]=>[6,1,5,2,4,3]
[3,4,2,5,6,1]=>[1,6,5,2,4,3]
[3,4,2,6,1,5]=>[5,1,6,2,4,3]
[3,4,2,6,5,1]=>[1,5,6,2,4,3]
[3,4,5,1,2,6]=>[6,2,1,5,4,3]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]
[3,4,5,2,1,6]=>[6,1,2,5,4,3]
[3,4,5,2,6,1]=>[1,6,2,5,4,3]
[3,4,5,6,1,2]=>[2,1,6,5,4,3]
[3,4,5,6,2,1]=>[1,2,6,5,4,3]
[3,4,6,1,2,5]=>[5,2,1,6,4,3]
[3,4,6,1,5,2]=>[2,5,1,6,4,3]
[3,4,6,2,1,5]=>[5,1,2,6,4,3]
[3,4,6,2,5,1]=>[1,5,2,6,4,3]
[3,4,6,5,1,2]=>[2,1,5,6,4,3]
[3,4,6,5,2,1]=>[1,2,5,6,4,3]
[3,5,1,2,4,6]=>[6,4,2,1,5,3]
[3,5,1,2,6,4]=>[4,6,2,1,5,3]
[3,5,1,4,2,6]=>[6,2,4,1,5,3]
[3,5,1,4,6,2]=>[2,6,4,1,5,3]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]
[3,5,1,6,4,2]=>[2,4,6,1,5,3]
[3,5,2,1,4,6]=>[6,4,1,2,5,3]
[3,5,2,1,6,4]=>[4,6,1,2,5,3]
[3,5,2,4,1,6]=>[6,1,4,2,5,3]
[3,5,2,4,6,1]=>[1,6,4,2,5,3]
[3,5,2,6,1,4]=>[4,1,6,2,5,3]
[3,5,2,6,4,1]=>[1,4,6,2,5,3]
[3,5,4,1,2,6]=>[6,2,1,4,5,3]
[3,5,4,1,6,2]=>[2,6,1,4,5,3]
[3,5,4,2,1,6]=>[6,1,2,4,5,3]
[3,5,4,2,6,1]=>[1,6,2,4,5,3]
[3,5,4,6,1,2]=>[2,1,6,4,5,3]
[3,5,4,6,2,1]=>[1,2,6,4,5,3]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]
[3,5,6,1,4,2]=>[2,4,1,6,5,3]
[3,5,6,2,1,4]=>[4,1,2,6,5,3]
[3,5,6,2,4,1]=>[1,4,2,6,5,3]
[3,5,6,4,1,2]=>[2,1,4,6,5,3]
[3,5,6,4,2,1]=>[1,2,4,6,5,3]
[3,6,1,2,4,5]=>[5,4,2,1,6,3]
[3,6,1,2,5,4]=>[4,5,2,1,6,3]
[3,6,1,4,2,5]=>[5,2,4,1,6,3]
[3,6,1,4,5,2]=>[2,5,4,1,6,3]
[3,6,1,5,2,4]=>[4,2,5,1,6,3]
[3,6,1,5,4,2]=>[2,4,5,1,6,3]
[3,6,2,1,4,5]=>[5,4,1,2,6,3]
[3,6,2,1,5,4]=>[4,5,1,2,6,3]
[3,6,2,4,1,5]=>[5,1,4,2,6,3]
[3,6,2,4,5,1]=>[1,5,4,2,6,3]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]
[3,6,2,5,4,1]=>[1,4,5,2,6,3]
[3,6,4,1,2,5]=>[5,2,1,4,6,3]
[3,6,4,1,5,2]=>[2,5,1,4,6,3]
[3,6,4,2,1,5]=>[5,1,2,4,6,3]
[3,6,4,2,5,1]=>[1,5,2,4,6,3]
[3,6,4,5,1,2]=>[2,1,5,4,6,3]
[3,6,4,5,2,1]=>[1,2,5,4,6,3]
[3,6,5,1,2,4]=>[4,2,1,5,6,3]
[3,6,5,1,4,2]=>[2,4,1,5,6,3]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]
[3,6,5,2,4,1]=>[1,4,2,5,6,3]
[3,6,5,4,1,2]=>[2,1,4,5,6,3]
[3,6,5,4,2,1]=>[1,2,4,5,6,3]
[4,1,2,3,5,6]=>[6,5,3,2,1,4]
[4,1,2,3,6,5]=>[5,6,3,2,1,4]
[4,1,2,5,3,6]=>[6,3,5,2,1,4]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]
[4,1,2,6,3,5]=>[5,3,6,2,1,4]
[4,1,2,6,5,3]=>[3,5,6,2,1,4]
[4,1,3,2,5,6]=>[6,5,2,3,1,4]
[4,1,3,2,6,5]=>[5,6,2,3,1,4]
[4,1,3,5,2,6]=>[6,2,5,3,1,4]
[4,1,3,5,6,2]=>[2,6,5,3,1,4]
[4,1,3,6,2,5]=>[5,2,6,3,1,4]
[4,1,3,6,5,2]=>[2,5,6,3,1,4]
[4,1,5,2,3,6]=>[6,3,2,5,1,4]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]
[4,1,5,3,2,6]=>[6,2,3,5,1,4]
[4,1,5,3,6,2]=>[2,6,3,5,1,4]
[4,1,5,6,2,3]=>[3,2,6,5,1,4]
[4,1,5,6,3,2]=>[2,3,6,5,1,4]
[4,1,6,2,3,5]=>[5,3,2,6,1,4]
[4,1,6,2,5,3]=>[3,5,2,6,1,4]
[4,1,6,3,2,5]=>[5,2,3,6,1,4]
[4,1,6,3,5,2]=>[2,5,3,6,1,4]
[4,1,6,5,2,3]=>[3,2,5,6,1,4]
[4,1,6,5,3,2]=>[2,3,5,6,1,4]
[4,2,1,3,5,6]=>[6,5,3,1,2,4]
[4,2,1,3,6,5]=>[5,6,3,1,2,4]
[4,2,1,5,3,6]=>[6,3,5,1,2,4]
[4,2,1,5,6,3]=>[3,6,5,1,2,4]
[4,2,1,6,3,5]=>[5,3,6,1,2,4]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]
[4,2,3,1,5,6]=>[6,5,1,3,2,4]
[4,2,3,1,6,5]=>[5,6,1,3,2,4]
[4,2,3,5,1,6]=>[6,1,5,3,2,4]
[4,2,3,5,6,1]=>[1,6,5,3,2,4]
[4,2,3,6,1,5]=>[5,1,6,3,2,4]
[4,2,3,6,5,1]=>[1,5,6,3,2,4]
[4,2,5,1,3,6]=>[6,3,1,5,2,4]
[4,2,5,1,6,3]=>[3,6,1,5,2,4]
[4,2,5,3,1,6]=>[6,1,3,5,2,4]
[4,2,5,3,6,1]=>[1,6,3,5,2,4]
[4,2,5,6,1,3]=>[3,1,6,5,2,4]
[4,2,5,6,3,1]=>[1,3,6,5,2,4]
[4,2,6,1,3,5]=>[5,3,1,6,2,4]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]
[4,2,6,3,1,5]=>[5,1,3,6,2,4]
[4,2,6,3,5,1]=>[1,5,3,6,2,4]
[4,2,6,5,1,3]=>[3,1,5,6,2,4]
[4,2,6,5,3,1]=>[1,3,5,6,2,4]
[4,3,1,2,5,6]=>[6,5,2,1,3,4]
[4,3,1,2,6,5]=>[5,6,2,1,3,4]
[4,3,1,5,2,6]=>[6,2,5,1,3,4]
[4,3,1,5,6,2]=>[2,6,5,1,3,4]
[4,3,1,6,2,5]=>[5,2,6,1,3,4]
[4,3,1,6,5,2]=>[2,5,6,1,3,4]
[4,3,2,1,5,6]=>[6,5,1,2,3,4]
[4,3,2,1,6,5]=>[5,6,1,2,3,4]
[4,3,2,5,1,6]=>[6,1,5,2,3,4]
[4,3,2,5,6,1]=>[1,6,5,2,3,4]
[4,3,2,6,1,5]=>[5,1,6,2,3,4]
[4,3,2,6,5,1]=>[1,5,6,2,3,4]
[4,3,5,1,2,6]=>[6,2,1,5,3,4]
[4,3,5,1,6,2]=>[2,6,1,5,3,4]
[4,3,5,2,1,6]=>[6,1,2,5,3,4]
[4,3,5,2,6,1]=>[1,6,2,5,3,4]
[4,3,5,6,1,2]=>[2,1,6,5,3,4]
[4,3,5,6,2,1]=>[1,2,6,5,3,4]
[4,3,6,1,2,5]=>[5,2,1,6,3,4]
[4,3,6,1,5,2]=>[2,5,1,6,3,4]
[4,3,6,2,1,5]=>[5,1,2,6,3,4]
[4,3,6,2,5,1]=>[1,5,2,6,3,4]
[4,3,6,5,1,2]=>[2,1,5,6,3,4]
[4,3,6,5,2,1]=>[1,2,5,6,3,4]
[4,5,1,2,3,6]=>[6,3,2,1,5,4]
[4,5,1,2,6,3]=>[3,6,2,1,5,4]
[4,5,1,3,2,6]=>[6,2,3,1,5,4]
[4,5,1,3,6,2]=>[2,6,3,1,5,4]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]
[4,5,1,6,3,2]=>[2,3,6,1,5,4]
[4,5,2,1,3,6]=>[6,3,1,2,5,4]
[4,5,2,1,6,3]=>[3,6,1,2,5,4]
[4,5,2,3,1,6]=>[6,1,3,2,5,4]
[4,5,2,3,6,1]=>[1,6,3,2,5,4]
[4,5,2,6,1,3]=>[3,1,6,2,5,4]
[4,5,2,6,3,1]=>[1,3,6,2,5,4]
[4,5,3,1,2,6]=>[6,2,1,3,5,4]
[4,5,3,1,6,2]=>[2,6,1,3,5,4]
[4,5,3,2,1,6]=>[6,1,2,3,5,4]
[4,5,3,2,6,1]=>[1,6,2,3,5,4]
[4,5,3,6,1,2]=>[2,1,6,3,5,4]
[4,5,3,6,2,1]=>[1,2,6,3,5,4]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]
[4,5,6,1,3,2]=>[2,3,1,6,5,4]
[4,5,6,2,1,3]=>[3,1,2,6,5,4]
[4,5,6,2,3,1]=>[1,3,2,6,5,4]
[4,5,6,3,1,2]=>[2,1,3,6,5,4]
[4,5,6,3,2,1]=>[1,2,3,6,5,4]
[4,6,1,2,3,5]=>[5,3,2,1,6,4]
[4,6,1,2,5,3]=>[3,5,2,1,6,4]
[4,6,1,3,2,5]=>[5,2,3,1,6,4]
[4,6,1,3,5,2]=>[2,5,3,1,6,4]
[4,6,1,5,2,3]=>[3,2,5,1,6,4]
[4,6,1,5,3,2]=>[2,3,5,1,6,4]
[4,6,2,1,3,5]=>[5,3,1,2,6,4]
[4,6,2,1,5,3]=>[3,5,1,2,6,4]
[4,6,2,3,1,5]=>[5,1,3,2,6,4]
[4,6,2,3,5,1]=>[1,5,3,2,6,4]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]
[4,6,2,5,3,1]=>[1,3,5,2,6,4]
[4,6,3,1,2,5]=>[5,2,1,3,6,4]
[4,6,3,1,5,2]=>[2,5,1,3,6,4]
[4,6,3,2,1,5]=>[5,1,2,3,6,4]
[4,6,3,2,5,1]=>[1,5,2,3,6,4]
[4,6,3,5,1,2]=>[2,1,5,3,6,4]
[4,6,3,5,2,1]=>[1,2,5,3,6,4]
[4,6,5,1,2,3]=>[3,2,1,5,6,4]
[4,6,5,1,3,2]=>[2,3,1,5,6,4]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]
[4,6,5,2,3,1]=>[1,3,2,5,6,4]
[4,6,5,3,1,2]=>[2,1,3,5,6,4]
[4,6,5,3,2,1]=>[1,2,3,5,6,4]
[5,1,2,3,4,6]=>[6,4,3,2,1,5]
[5,1,2,3,6,4]=>[4,6,3,2,1,5]
[5,1,2,4,3,6]=>[6,3,4,2,1,5]
[5,1,2,4,6,3]=>[3,6,4,2,1,5]
[5,1,2,6,3,4]=>[4,3,6,2,1,5]
[5,1,2,6,4,3]=>[3,4,6,2,1,5]
[5,1,3,2,4,6]=>[6,4,2,3,1,5]
[5,1,3,2,6,4]=>[4,6,2,3,1,5]
[5,1,3,4,2,6]=>[6,2,4,3,1,5]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]
[5,1,3,6,2,4]=>[4,2,6,3,1,5]
[5,1,3,6,4,2]=>[2,4,6,3,1,5]
[5,1,4,2,3,6]=>[6,3,2,4,1,5]
[5,1,4,2,6,3]=>[3,6,2,4,1,5]
[5,1,4,3,2,6]=>[6,2,3,4,1,5]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]
[5,1,4,6,2,3]=>[3,2,6,4,1,5]
[5,1,4,6,3,2]=>[2,3,6,4,1,5]
[5,1,6,2,3,4]=>[4,3,2,6,1,5]
[5,1,6,2,4,3]=>[3,4,2,6,1,5]
[5,1,6,3,2,4]=>[4,2,3,6,1,5]
[5,1,6,3,4,2]=>[2,4,3,6,1,5]
[5,1,6,4,2,3]=>[3,2,4,6,1,5]
[5,1,6,4,3,2]=>[2,3,4,6,1,5]
[5,2,1,3,4,6]=>[6,4,3,1,2,5]
[5,2,1,3,6,4]=>[4,6,3,1,2,5]
[5,2,1,4,3,6]=>[6,3,4,1,2,5]
[5,2,1,4,6,3]=>[3,6,4,1,2,5]
[5,2,1,6,3,4]=>[4,3,6,1,2,5]
[5,2,1,6,4,3]=>[3,4,6,1,2,5]
[5,2,3,1,4,6]=>[6,4,1,3,2,5]
[5,2,3,1,6,4]=>[4,6,1,3,2,5]
[5,2,3,4,1,6]=>[6,1,4,3,2,5]
[5,2,3,4,6,1]=>[1,6,4,3,2,5]
[5,2,3,6,1,4]=>[4,1,6,3,2,5]
[5,2,3,6,4,1]=>[1,4,6,3,2,5]
[5,2,4,1,3,6]=>[6,3,1,4,2,5]
[5,2,4,1,6,3]=>[3,6,1,4,2,5]
[5,2,4,3,1,6]=>[6,1,3,4,2,5]
[5,2,4,3,6,1]=>[1,6,3,4,2,5]
[5,2,4,6,1,3]=>[3,1,6,4,2,5]
[5,2,4,6,3,1]=>[1,3,6,4,2,5]
[5,2,6,1,3,4]=>[4,3,1,6,2,5]
[5,2,6,1,4,3]=>[3,4,1,6,2,5]
[5,2,6,3,1,4]=>[4,1,3,6,2,5]
[5,2,6,3,4,1]=>[1,4,3,6,2,5]
[5,2,6,4,1,3]=>[3,1,4,6,2,5]
[5,2,6,4,3,1]=>[1,3,4,6,2,5]
[5,3,1,2,4,6]=>[6,4,2,1,3,5]
[5,3,1,2,6,4]=>[4,6,2,1,3,5]
[5,3,1,4,2,6]=>[6,2,4,1,3,5]
[5,3,1,4,6,2]=>[2,6,4,1,3,5]
[5,3,1,6,2,4]=>[4,2,6,1,3,5]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]
[5,3,2,1,4,6]=>[6,4,1,2,3,5]
[5,3,2,1,6,4]=>[4,6,1,2,3,5]
[5,3,2,4,1,6]=>[6,1,4,2,3,5]
[5,3,2,4,6,1]=>[1,6,4,2,3,5]
[5,3,2,6,1,4]=>[4,1,6,2,3,5]
[5,3,2,6,4,1]=>[1,4,6,2,3,5]
[5,3,4,1,2,6]=>[6,2,1,4,3,5]
[5,3,4,1,6,2]=>[2,6,1,4,3,5]
[5,3,4,2,1,6]=>[6,1,2,4,3,5]
[5,3,4,2,6,1]=>[1,6,2,4,3,5]
[5,3,4,6,1,2]=>[2,1,6,4,3,5]
[5,3,4,6,2,1]=>[1,2,6,4,3,5]
[5,3,6,1,2,4]=>[4,2,1,6,3,5]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]
[5,3,6,2,1,4]=>[4,1,2,6,3,5]
[5,3,6,2,4,1]=>[1,4,2,6,3,5]
[5,3,6,4,1,2]=>[2,1,4,6,3,5]
[5,3,6,4,2,1]=>[1,2,4,6,3,5]
[5,4,1,2,3,6]=>[6,3,2,1,4,5]
[5,4,1,2,6,3]=>[3,6,2,1,4,5]
[5,4,1,3,2,6]=>[6,2,3,1,4,5]
[5,4,1,3,6,2]=>[2,6,3,1,4,5]
[5,4,1,6,2,3]=>[3,2,6,1,4,5]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]
[5,4,2,1,3,6]=>[6,3,1,2,4,5]
[5,4,2,1,6,3]=>[3,6,1,2,4,5]
[5,4,2,3,1,6]=>[6,1,3,2,4,5]
[5,4,2,3,6,1]=>[1,6,3,2,4,5]
[5,4,2,6,1,3]=>[3,1,6,2,4,5]
[5,4,2,6,3,1]=>[1,3,6,2,4,5]
[5,4,3,1,2,6]=>[6,2,1,3,4,5]
[5,4,3,1,6,2]=>[2,6,1,3,4,5]
[5,4,3,2,1,6]=>[6,1,2,3,4,5]
[5,4,3,2,6,1]=>[1,6,2,3,4,5]
[5,4,3,6,1,2]=>[2,1,6,3,4,5]
[5,4,3,6,2,1]=>[1,2,6,3,4,5]
[5,4,6,1,2,3]=>[3,2,1,6,4,5]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]
[5,4,6,2,1,3]=>[3,1,2,6,4,5]
[5,4,6,2,3,1]=>[1,3,2,6,4,5]
[5,4,6,3,1,2]=>[2,1,3,6,4,5]
[5,4,6,3,2,1]=>[1,2,3,6,4,5]
[5,6,1,2,3,4]=>[4,3,2,1,6,5]
[5,6,1,2,4,3]=>[3,4,2,1,6,5]
[5,6,1,3,2,4]=>[4,2,3,1,6,5]
[5,6,1,3,4,2]=>[2,4,3,1,6,5]
[5,6,1,4,2,3]=>[3,2,4,1,6,5]
[5,6,1,4,3,2]=>[2,3,4,1,6,5]
[5,6,2,1,3,4]=>[4,3,1,2,6,5]
[5,6,2,1,4,3]=>[3,4,1,2,6,5]
[5,6,2,3,1,4]=>[4,1,3,2,6,5]
[5,6,2,3,4,1]=>[1,4,3,2,6,5]
[5,6,2,4,1,3]=>[3,1,4,2,6,5]
[5,6,2,4,3,1]=>[1,3,4,2,6,5]
[5,6,3,1,2,4]=>[4,2,1,3,6,5]
[5,6,3,1,4,2]=>[2,4,1,3,6,5]
[5,6,3,2,1,4]=>[4,1,2,3,6,5]
[5,6,3,2,4,1]=>[1,4,2,3,6,5]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]
[5,6,3,4,2,1]=>[1,2,4,3,6,5]
[5,6,4,1,2,3]=>[3,2,1,4,6,5]
[5,6,4,1,3,2]=>[2,3,1,4,6,5]
[5,6,4,2,1,3]=>[3,1,2,4,6,5]
[5,6,4,2,3,1]=>[1,3,2,4,6,5]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]
[5,6,4,3,2,1]=>[1,2,3,4,6,5]
[6,1,2,3,4,5]=>[5,4,3,2,1,6]
[6,1,2,3,5,4]=>[4,5,3,2,1,6]
[6,1,2,4,3,5]=>[5,3,4,2,1,6]
[6,1,2,4,5,3]=>[3,5,4,2,1,6]
[6,1,2,5,3,4]=>[4,3,5,2,1,6]
[6,1,2,5,4,3]=>[3,4,5,2,1,6]
[6,1,3,2,4,5]=>[5,4,2,3,1,6]
[6,1,3,2,5,4]=>[4,5,2,3,1,6]
[6,1,3,4,2,5]=>[5,2,4,3,1,6]
[6,1,3,4,5,2]=>[2,5,4,3,1,6]
[6,1,3,5,2,4]=>[4,2,5,3,1,6]
[6,1,3,5,4,2]=>[2,4,5,3,1,6]
[6,1,4,2,3,5]=>[5,3,2,4,1,6]
[6,1,4,2,5,3]=>[3,5,2,4,1,6]
[6,1,4,3,2,5]=>[5,2,3,4,1,6]
[6,1,4,3,5,2]=>[2,5,3,4,1,6]
[6,1,4,5,2,3]=>[3,2,5,4,1,6]
[6,1,4,5,3,2]=>[2,3,5,4,1,6]
[6,1,5,2,3,4]=>[4,3,2,5,1,6]
[6,1,5,2,4,3]=>[3,4,2,5,1,6]
[6,1,5,3,2,4]=>[4,2,3,5,1,6]
[6,1,5,3,4,2]=>[2,4,3,5,1,6]
[6,1,5,4,2,3]=>[3,2,4,5,1,6]
[6,1,5,4,3,2]=>[2,3,4,5,1,6]
[6,2,1,3,4,5]=>[5,4,3,1,2,6]
[6,2,1,3,5,4]=>[4,5,3,1,2,6]
[6,2,1,4,3,5]=>[5,3,4,1,2,6]
[6,2,1,4,5,3]=>[3,5,4,1,2,6]
[6,2,1,5,3,4]=>[4,3,5,1,2,6]
[6,2,1,5,4,3]=>[3,4,5,1,2,6]
[6,2,3,1,4,5]=>[5,4,1,3,2,6]
[6,2,3,1,5,4]=>[4,5,1,3,2,6]
[6,2,3,4,1,5]=>[5,1,4,3,2,6]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]
[6,2,3,5,1,4]=>[4,1,5,3,2,6]
[6,2,3,5,4,1]=>[1,4,5,3,2,6]
[6,2,4,1,3,5]=>[5,3,1,4,2,6]
[6,2,4,1,5,3]=>[3,5,1,4,2,6]
[6,2,4,3,1,5]=>[5,1,3,4,2,6]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]
[6,2,4,5,1,3]=>[3,1,5,4,2,6]
[6,2,4,5,3,1]=>[1,3,5,4,2,6]
[6,2,5,1,3,4]=>[4,3,1,5,2,6]
[6,2,5,1,4,3]=>[3,4,1,5,2,6]
[6,2,5,3,1,4]=>[4,1,3,5,2,6]
[6,2,5,3,4,1]=>[1,4,3,5,2,6]
[6,2,5,4,1,3]=>[3,1,4,5,2,6]
[6,2,5,4,3,1]=>[1,3,4,5,2,6]
[6,3,1,2,4,5]=>[5,4,2,1,3,6]
[6,3,1,2,5,4]=>[4,5,2,1,3,6]
[6,3,1,4,2,5]=>[5,2,4,1,3,6]
[6,3,1,4,5,2]=>[2,5,4,1,3,6]
[6,3,1,5,2,4]=>[4,2,5,1,3,6]
[6,3,1,5,4,2]=>[2,4,5,1,3,6]
[6,3,2,1,4,5]=>[5,4,1,2,3,6]
[6,3,2,1,5,4]=>[4,5,1,2,3,6]
[6,3,2,4,1,5]=>[5,1,4,2,3,6]
[6,3,2,4,5,1]=>[1,5,4,2,3,6]
[6,3,2,5,1,4]=>[4,1,5,2,3,6]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]
[6,3,4,1,2,5]=>[5,2,1,4,3,6]
[6,3,4,1,5,2]=>[2,5,1,4,3,6]
[6,3,4,2,1,5]=>[5,1,2,4,3,6]
[6,3,4,2,5,1]=>[1,5,2,4,3,6]
[6,3,4,5,1,2]=>[2,1,5,4,3,6]
[6,3,4,5,2,1]=>[1,2,5,4,3,6]
[6,3,5,1,2,4]=>[4,2,1,5,3,6]
[6,3,5,1,4,2]=>[2,4,1,5,3,6]
[6,3,5,2,1,4]=>[4,1,2,5,3,6]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]
[6,3,5,4,1,2]=>[2,1,4,5,3,6]
[6,3,5,4,2,1]=>[1,2,4,5,3,6]
[6,4,1,2,3,5]=>[5,3,2,1,4,6]
[6,4,1,2,5,3]=>[3,5,2,1,4,6]
[6,4,1,3,2,5]=>[5,2,3,1,4,6]
[6,4,1,3,5,2]=>[2,5,3,1,4,6]
[6,4,1,5,2,3]=>[3,2,5,1,4,6]
[6,4,1,5,3,2]=>[2,3,5,1,4,6]
[6,4,2,1,3,5]=>[5,3,1,2,4,6]
[6,4,2,1,5,3]=>[3,5,1,2,4,6]
[6,4,2,3,1,5]=>[5,1,3,2,4,6]
[6,4,2,3,5,1]=>[1,5,3,2,4,6]
[6,4,2,5,1,3]=>[3,1,5,2,4,6]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]
[6,4,3,1,2,5]=>[5,2,1,3,4,6]
[6,4,3,1,5,2]=>[2,5,1,3,4,6]
[6,4,3,2,1,5]=>[5,1,2,3,4,6]
[6,4,3,2,5,1]=>[1,5,2,3,4,6]
[6,4,3,5,1,2]=>[2,1,5,3,4,6]
[6,4,3,5,2,1]=>[1,2,5,3,4,6]
[6,4,5,1,2,3]=>[3,2,1,5,4,6]
[6,4,5,1,3,2]=>[2,3,1,5,4,6]
[6,4,5,2,1,3]=>[3,1,2,5,4,6]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]
[6,4,5,3,1,2]=>[2,1,3,5,4,6]
[6,4,5,3,2,1]=>[1,2,3,5,4,6]
[6,5,1,2,3,4]=>[4,3,2,1,5,6]
[6,5,1,2,4,3]=>[3,4,2,1,5,6]
[6,5,1,3,2,4]=>[4,2,3,1,5,6]
[6,5,1,3,4,2]=>[2,4,3,1,5,6]
[6,5,1,4,2,3]=>[3,2,4,1,5,6]
[6,5,1,4,3,2]=>[2,3,4,1,5,6]
[6,5,2,1,3,4]=>[4,3,1,2,5,6]
[6,5,2,1,4,3]=>[3,4,1,2,5,6]
[6,5,2,3,1,4]=>[4,1,3,2,5,6]
[6,5,2,3,4,1]=>[1,4,3,2,5,6]
[6,5,2,4,1,3]=>[3,1,4,2,5,6]
[6,5,2,4,3,1]=>[1,3,4,2,5,6]
[6,5,3,1,2,4]=>[4,2,1,3,5,6]
[6,5,3,1,4,2]=>[2,4,1,3,5,6]
[6,5,3,2,1,4]=>[4,1,2,3,5,6]
[6,5,3,2,4,1]=>[1,4,2,3,5,6]
[6,5,3,4,1,2]=>[2,1,4,3,5,6]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]
[6,5,4,1,2,3]=>[3,2,1,4,5,6]
[6,5,4,1,3,2]=>[2,3,1,4,5,6]
[6,5,4,2,1,3]=>[3,1,2,4,5,6]
[6,5,4,2,3,1]=>[1,3,2,4,5,6]
[6,5,4,3,1,2]=>[2,1,3,4,5,6]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]
[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]
[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]
[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]
[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]
[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]
[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]
[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]
[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]
[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]
[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]
[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]
[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]
[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]
[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]
[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]
[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]
[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]
[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]
[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]
[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]
[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]
[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]
[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]
[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]
[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]
[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]
[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]
[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]
[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]
[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]
[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]
[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]
[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]
[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]
[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]
[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]
[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]
[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]
[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]
[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]
[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]
[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]
[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]
[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]
[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]
[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]
[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]
[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]
[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]
[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]
[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]
[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]
[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]
[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]
[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]
[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]
[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]
[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]
[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]
[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]
[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]
[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]
[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]
[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]
[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]
[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]
[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]
[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]
[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]
[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]
[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]
[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]
[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]
[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]
[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]
[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]
[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]
[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]
[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]
[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]
[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]
[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]
[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]
[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]
[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]
[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]
[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]
[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]
[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]
[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]
[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]
[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]
[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]
[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]
[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]
[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]
[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]
[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]
[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]
[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]
[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]
[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]
[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]
[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]
[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]
[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]
[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]
[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]
[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]
[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]
[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]
[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]
[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]
[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]
[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]
[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]
[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]
[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]
[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]
[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]
[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]
[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]
[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]
[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]
[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]
[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]
[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]
[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]
[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]
[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]
[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]
[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]
[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]
[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]
[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]
[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]
[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]
[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]
[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]
[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]
[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]
[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]
[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]
[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]
[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]
[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]
[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]
[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]
[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]
[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]
[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]
[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]
[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]
[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]
[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]
[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]
[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]
[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]
[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]
[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]
[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]
[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]
[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]
[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]
[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]
[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]
[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]
[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]
[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]
[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]
[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]
[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]
[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]
[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]
[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]
[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]
[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]
[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]
[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]
[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]
[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]
[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]
[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]
[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]
[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]
[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]
[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]
[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]
[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]
[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]
[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]
[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]
[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]
[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]
[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]
[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]
[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]
[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]
[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]
[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]
[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]
[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]
[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]
[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]
[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]
[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]
[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]
[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]
[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]
[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]
[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]
[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]
[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]
[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]
[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]
[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]
[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]
[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]
[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]
[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]
[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]
[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]
[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]
[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]
[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]
[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]
[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]
[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]
[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]
[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]
[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]
[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]
[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]
[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]
[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]
[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]
[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]
[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]
[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]
[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]
[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]
[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]
[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]
[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]
[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]
[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]
[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]
[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]
[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]
[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]
[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]
[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]
[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]
[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]
[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]
[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]
[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]
[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]
[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]
[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]
[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]
[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]
[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]
[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]
[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]
[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]
[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]
[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]
[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]
[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]
[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]
[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]
[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]
[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]
[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]
[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]
[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]
[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]
[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]
[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]
[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]
[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]
[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]
[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]
[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]
[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]
[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]
[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]
[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]
[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]
[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]
[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]
[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]
[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]
[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]
[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]
[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]
[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]
[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]
[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]
[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]
[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]
[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]
[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]
[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]
[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]
[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]
[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]
[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]
[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]
[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]
[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]
[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]
[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]
[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]
[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]
[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]
[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]
[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]
[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]
[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]
[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]
[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]
[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]
[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]
[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]
[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]
[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]
[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]
[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]
[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]
[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]
[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]
[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]
[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]
[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]
[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]
[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]
[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]
[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]
[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]
[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]
[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]
[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]
[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]
[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]
[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]
[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]
[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]
[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]
[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]
[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]
[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]
[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]
[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]
[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]
[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]
[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]
[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]
[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]
[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]
[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]
[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]
[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]
[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]
[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]
[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]
[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]
[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]
[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]
[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]
[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]
[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]
[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]
[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]
[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]
[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]
[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]
[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]
[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]
[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]
[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]
[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]
[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]
[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]
[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]
[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]
[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]
[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]
[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]
[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]
[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]
[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]
[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]
[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]
[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]
[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]
[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]
[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]
[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]
[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]
[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]
[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]
[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]
[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]
[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]
[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]
[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]
[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]
[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]
[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]
[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]
[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]
[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]
[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]
[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]
[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]
[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]
[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]
[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]
[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]
[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]
[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]
[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]
[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]
[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]
[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]
[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]
[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]
[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]
[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]
[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]
[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]
[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]
[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]
[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]
[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]
[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]
[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]
[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]
[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]
[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]
[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]
[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]
[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]
[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]
[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]
[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]
[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]
[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]
[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]
[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]
[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]
[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]
[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]
[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]
[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]
[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]
[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]
[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]
[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]
[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]
[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]
[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]
[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]
[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]
[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]
[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]
[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]
[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]
[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]
[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]
[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]
[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]
[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]
[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]
[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]
[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]
[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]
[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]
[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]
[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]
[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]
[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]
[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]
[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]
[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]
[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]
[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]
[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]
[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]
[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]
[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]
[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]
[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]
[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]
[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]
[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]
[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]
[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]
[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]
[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]
[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]
[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]
[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]
[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]
[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]
[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]
[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]
[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]
[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]
[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]
[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]
[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]
[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]
[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]
[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]
[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]
[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]
[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]
[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]
[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]
[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]
[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]
[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]
[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]
[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]
[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]
[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]
[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]
[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]
[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]
[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]
[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]
[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]
[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]
[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]
[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]
[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]
[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]
[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]
[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]
[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]
[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]
[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]
[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]
[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]
[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]
[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]
[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]
[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]
[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]
[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]
[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]
[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]
[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]
[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]
[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]
[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]
[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]
[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]
[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]
[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]
[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]
[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]
[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]
[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]
[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]
[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]
[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]
[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]
[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]
[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]
[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]
[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]
[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]
[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]
[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]
[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]
[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]
[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]
[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]
[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]
[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]
[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]
[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]
[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]
[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]
[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]
[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]
[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]
[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]
[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]
[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]
[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]
[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]
[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]
[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]
[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]
[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]
[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]
[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]
[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]
[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]
[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]
[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]
[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]
[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]
[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]
[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]
[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]
[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]
[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]
[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]
[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]
[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]
[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]
[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]
[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]
[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]
[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]
[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]
[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]
[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]
[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]
[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]
[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]
[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]
[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]
[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]
[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]
[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]
[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]
[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]
[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]
[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]
[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]
[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]
[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]
[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]
[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]
[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]
[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]
[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]
[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]
[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]
[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]
[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]
[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]
[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]
[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]
[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]
[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]
[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]
[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]
[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]
[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]
[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]
[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]
[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]
[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]
[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]
[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]
[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]
[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]
[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]
[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]
[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]
[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]
[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]
[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]
[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]
[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]
[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]
[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]
[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]
[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]
[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]
[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]
[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]
[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]
[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]
[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]
[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]
[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]
[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]
[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]
[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]
[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]
[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]
[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]
[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]
[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]
[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]
[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]
[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]
[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]
[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]
[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]
[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]
[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]
[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]
[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]
[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]
[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]
[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]
[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]
[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]
[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]
[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]
[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]
[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]
[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]
[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]
[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]
[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]
[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]
[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]
[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]
[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]
[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]
[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]
[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]
[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]
[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]
[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]
[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]
[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]
[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]
[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]
[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]
[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]
[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]
[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]
[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]
[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]
[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]
[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]
[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]
[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]
[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]
[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]
[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]
[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]
[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]
[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]
[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]
[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]
[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]
[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]
[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]
[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]
[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]
[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]
[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]
[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]
[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]
[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]
[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]
[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]
[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]
[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]
[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]
[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]
[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]
[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]
[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]
[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]
[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]
[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]
[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]
[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]
[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]
[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]
[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]
[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]
[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]
[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]
[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]
[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]
[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]
[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]
[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]
[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]
[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]
[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]
[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]
[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]
[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]
[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]
[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]
[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]
[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]
[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]
[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]
[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]
[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]
[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]
[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]
[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]
[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]
[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]
[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]
[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]
[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]
[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]
[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]
[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]
[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]
[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]
[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]
[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]
[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]
[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]
[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]
[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]
[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]
[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]
[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]
[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]
[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]
[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]
[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]
[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]
[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]
[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]
[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]
[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]
[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]
[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]
[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]
[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]
[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]
[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]
[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]
[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]
[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]
[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]
[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]
[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]
[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]
[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]
[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]
[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]
[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]
[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]
[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]
[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]
[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]
[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]
[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]
[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]
[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]
[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]
[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]
[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]
[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]
[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]
[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]
[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]
[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]
[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]
[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]
[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]
[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]
[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]
[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]
[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]
[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]
[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]
[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]
[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]
[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]
[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]
[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]
[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]
[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]
[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]
[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]
[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]
[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]
[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]
[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]
[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]
[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]
[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]
[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]
[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]
[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]
[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]
[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]
[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]
[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]
[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]
[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]
[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]
[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]
[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]
[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]
[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]
[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]
[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]
[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]
[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]
[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]
[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]
[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]
[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]
[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]
[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]
[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]
[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]
[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]
[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]
[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]
[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]
[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]
[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]
[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]
[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]
[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]
[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]
[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]
[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]
[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]
[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]
[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]
[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]
[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]
[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]
[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]
[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]
[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]
[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]
[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]
[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]
[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]
[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]
[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]
[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]
[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]
[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]
[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]
[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]
[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]
[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]
[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]
[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]
[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]
[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]
[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]
[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]
[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]
[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]
[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]
[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]
[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]
[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]
[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]
[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]
[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]
[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]
[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]
[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]
[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]
[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]
[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]
[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]
[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]
[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]
[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]
[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]
[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]
[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]
[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]
[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]
[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]
[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]
[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]
[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]
[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]
[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]
[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]
[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]
[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]
[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]
[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]
[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]
[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]
[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]
[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]
[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]
[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]
[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]
[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]
[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]
[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]
[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]
[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]
[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]
[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]
[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]
[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]
[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]
[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]
[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]
[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]
[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]
[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]
[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]
[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]
[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]
[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]
[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]
[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]
[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]
[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]
[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]
[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]
[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]
[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]
[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]
[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]
[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]
[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]
[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]
[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]
[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]
[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]
[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]
[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]
[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]
[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]
[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]
[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]
[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]
[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]
[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]
[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]
[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]
[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]
[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]
[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]
[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]
[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]
[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]
[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]
[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]
[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]
[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]
[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]
[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]
[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]
[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]
[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]
[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]
[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]
[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]
[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]
[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]
[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]
[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]
[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]
[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]
[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]
[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]
[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]
[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]
[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]
[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]
[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]
[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]
[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]
[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]
[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]
[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]
[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]
[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]
[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]
[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]
[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]
[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]
[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]
[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]
[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]
[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]
[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]
[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]
[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]
[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]
[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]
[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]
[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]
[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]
[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]
[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]
[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]
[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]
[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]
[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]
[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]
[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]
[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]
[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]
[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]
[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]
[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]
[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]
[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]
[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]
[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]
[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]
[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]
[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]
[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]
[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]
[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]
[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]
[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]
[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]
[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]
[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]
[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]
[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]
[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]
[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]
[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]
[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]
[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]
[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]
[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]
[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]
[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]
[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]
[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]
[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]
[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]
[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]
[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]
[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]
[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]
[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]
[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]
[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]
[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]
[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]
[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]
[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]
[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]
[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]
[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]
[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]
[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]
[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]
[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]
[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]
[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]
[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]
[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]
[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]
[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]
[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]
[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]
[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]
[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]
[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]
[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]
[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]
[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]
[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]
[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]
[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]
[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]
[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]
[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]
[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]
[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]
[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]
[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]
[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]
[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]
[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]
[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]
[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]
[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]
[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]
[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]
[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]
[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]
[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]
[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]
[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]
[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]
[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]
[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]
[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]
[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]
[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]
[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]
[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]
[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]
[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]
[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]
[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]
[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]
[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]
[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]
[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]
[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]
[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]
[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]
[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]
[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]
[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]
[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]
[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]
[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]
[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]
[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]
[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]
[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]
[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]
[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]
[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]
[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]
[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]
[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]
[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]
[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]
[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]
[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]
[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]
[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]
[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]
[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]
[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]
[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]
[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]
[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]
[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]
[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]
[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]
[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]
[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]
[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]
[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]
[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]
[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]
[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]
[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]
[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]
[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]
[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]
[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]
[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]
[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]
[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]
[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]
[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]
[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]
[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]
[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]
[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]
[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]
[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]
[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]
[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]
[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]
[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]
[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]
[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]
[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]
[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]
[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]
[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]
[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]
[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]
[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]
[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]
[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]
[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]
[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]
[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]
[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]
[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]
[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]
[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]
[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]
[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]
[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]
[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]
[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]
[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]
[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]
[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]
[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]
[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]
[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]
[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]
[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]
[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]
[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]
[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]
[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]
[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]
[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]
[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]
[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]
[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]
[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]
[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]
[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]
[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]
[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]
[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]
[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]
[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]
[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]
[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]
[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]
[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]
[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]
[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]
[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]
[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]
[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]
[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]
[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]
[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]
[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]
[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]
[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]
[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]
[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]
[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]
[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]
[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]
[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]
[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]
[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]
[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]
[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]
[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]
[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]
[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]
[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]
[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]
[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]
[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]
[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]
[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]
[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]
[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]
[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]
[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]
[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]
[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]
[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]
[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]
[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]
[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]
[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]
[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]
[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]
[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]
[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]
[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]
[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]
[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]
[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]
[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]
[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]
[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]
[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]
[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]
[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]
[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]
[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]
[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]
[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]
[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]
[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]
[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]
[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]
[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]
[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]
[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]
[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]
[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]
[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]
[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]
[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]
[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]
[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]
[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]
[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]
[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]
[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]
[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]
[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]
[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]
[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]
[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]
[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]
[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]
[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]
[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]
[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]
[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]
[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]
[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]
[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]
[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]
[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]
[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]
[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]
[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]
[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]
[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]
[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]
[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]
[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]
[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]
[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]
[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]
[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]
[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]
[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]
[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]
[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]
[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]
[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]
[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]
[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]
[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]
[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]
[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]
[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]
[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]
[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]
[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]
[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]
[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]
[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]
[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]
[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]
[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]
[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]
[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]
[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]
[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]
[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]
[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]
[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]
[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]
[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]
[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]
[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]
[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]
[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]
[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]
[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]
[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]
[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]
[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]
[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]
[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]
[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]
[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]
[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]
[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]
[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]
[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]
[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]
[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]
[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]
[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]
[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]
[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]
[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]
[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]
[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]
[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]
[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]
[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]
[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]
[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]
[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]
[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]
[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]
[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]
[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]
[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]
[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]
[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]
[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]
[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]
[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]
[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]
[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]
[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]
[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]
[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]
[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]
[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]
[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]
[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]
[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]
[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]
[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]
[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]
[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]
[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]
[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]
[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]
[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]
[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]
[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]
[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]
[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]
[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]
[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]
[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]
[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]
[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]
[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]
[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]
[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]
[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]
[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]
[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]
[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]
[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]
[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]
[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]
[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]
[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]
[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]
[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]
[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]
[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]
[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]
[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]
[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]
[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]
[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]
[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]
[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]
[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]
[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]
[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]
[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]
[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]
[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]
[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]
[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]
[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]
[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]
[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]
[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]
[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]
[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]
[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]
[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]
[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]
[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]
[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]
[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]
[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]
[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]
[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]
[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]
[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]
[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]
[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]
[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]
[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]
[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]
[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]
[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]
[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]
[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]
[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]
[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]
[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]
[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]
[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]
[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]
[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]
[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]
[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]
[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]
[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]
[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]
[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]
[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]
[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]
[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]
[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]
[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]
[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]
[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]
[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]
[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]
[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]
[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]
[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]
[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]
[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]
[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]
[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]
[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]
[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]
[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]
[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]
[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]
[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]
[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]
[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]
[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]
[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]
[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]
[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]
[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]
[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]
[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]
[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]
[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]
[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]
[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]
[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]
[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]
[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]
[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]
[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]
[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]
[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]
[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]
[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]
[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]
[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]
[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]
[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]
[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]
[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]
[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]
[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]
[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]
[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]
[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]
[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]
[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]
[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]
[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]
[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]
[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]
[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]
[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]
[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]
[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]
[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]
[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]
[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]
[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]
[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]
[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]
[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]
[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]
[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]
[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]
[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]
[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]
[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]
[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]
[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]
[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]
[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]
[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]
[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]
[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]
[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]
[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]
[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]
[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]
[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]
[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]
[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]
[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]
[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]
[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]
[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]
[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]
[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]
[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]
[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]
[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]
[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]
[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]
[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]
[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]
[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]
[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]
[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]
[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]
[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]
[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]
[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]
[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]
[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]
[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]
[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]
[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]
[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]
[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]
[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]
[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]
[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]
[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]
[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]
[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]
[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]
[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]
[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]
[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]
[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]
[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]
[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]
[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]
[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]
[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]
[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]
[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]
[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]
[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]
[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]
[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]
[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]
[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]
[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]
[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]
[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]
[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]
[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]
[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]
[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]
[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]
[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]
[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]
[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]
[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]
[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]
[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]
[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]
[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]
[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]
[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]
[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]
[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]
[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]
[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]
[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]
[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]
[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]
[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]
[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]
[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]
[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]
[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]
[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]
[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]
[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]
[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]
[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]
[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]
[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]
[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]
[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]
[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]
[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]
[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]
[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]
[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]
[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]
[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]
[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]
[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]
[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]
[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]
[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]
[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]
[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]
[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]
[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]
[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]
[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]
[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]
[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]
[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]
[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]
[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]
[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]
[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]
[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]
[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]
[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]
[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]
[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]
[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]
[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]
[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]
[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]
[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]
[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]
[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]
[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]
[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]
[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]
[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]
[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]
[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]
[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]
[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]
[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]
[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]
[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]
[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]
[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]
[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]
[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]
[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]
[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]
[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]
[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]
[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]
[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]
[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]
[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]
[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]
[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]
[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]
[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]
[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]
[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]
[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]
[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]
[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]
[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]
[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]
[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]
[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]
[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]
[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]
[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]
[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]
[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]
[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]
[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]
[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]
[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]
[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]
[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]
[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]
[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]
[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]
[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]
[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]
[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]
[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]
[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]
[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]
[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]
[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]
[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]
[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]
[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]
[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]
[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]
[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]
[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]
[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]
[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]
[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]
[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]
[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]
[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]
[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]
[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]
[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]
[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]
[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]
[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]
[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]
[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]
[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]
[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]
[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]
[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]
[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]
[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]
[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]
[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]
[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]
[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]
[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]
[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]
[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]
[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]
[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]
[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]
[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]
[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]
[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]
[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]
[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]
[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]
[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]
[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]
[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]
[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]
[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]
[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]
[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]
[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]
[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]
[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]
[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]
[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]
[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]
[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]
[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]
[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]
[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]
[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]
[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]
[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]
[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]
[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]
[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]
[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]
[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]
[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]
[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]
[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]
[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]
[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]
[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]
[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]
[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]
[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]
[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]
[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]
[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]
[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]
[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]
[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]
[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]
[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]
[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]
[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]
[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]
[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]
[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]
[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]
[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]
[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]
[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]
[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]
[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]
[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]
[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]
[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]
[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]
[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]
[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]
[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]
[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]
[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]
[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]
[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]
[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]
[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]
[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]
[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]
[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]
[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]
[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]
[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]
[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]
[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]
[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]
[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]
[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]
[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]
[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]
[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]
[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]
[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]
[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]
[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]
[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]
[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]
[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]
[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]
[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]
[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]
[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]
[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]
[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]
[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]
[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]
[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]
[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]
[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]
[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]
[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]
[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]
[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]
[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]
[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]
[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]
[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]
[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]
[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]
[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]
[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]
[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]
[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]
[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]
[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]
[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]
[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]
[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]
[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]
[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]
[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]
[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]
[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]
[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]
[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]
[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]
[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]
[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]
[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]
[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]
[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]
[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]
[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]
[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]
[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]
[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]
[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]
[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]
[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]
[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]
[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]
[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]
[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]
[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]
[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]
[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]
[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]
[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]
[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]
[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]
[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]
[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]
[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]
[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]
[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]
[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]
[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]
[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]
[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]
[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]
[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]
[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]
[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]
[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]
[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]
[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]
[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]
[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]
[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]
[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]
[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]
[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]
[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]
[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]
[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]
[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]
[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]
[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]
[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]
[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]
[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]
[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]
[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]
[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]
[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]
[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]
[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]
[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]
[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]
[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]
[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]
[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]
[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]
[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]
[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]
[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]
[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]
[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]
[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]
[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]
[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]
[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]
[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]
[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]
[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]
[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]
[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]
[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]
[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]
[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]
[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]
[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]
[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]
[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]
[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]
[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]
[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]
[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]
[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]
[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]
[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]
[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]
[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]
[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]
[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]
[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]
[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]
[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]
[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]
[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]
[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]
[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]
[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]
[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]
[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]
[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]
[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]
[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]
[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]
[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]
[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]
[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]
[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]
[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]
[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]
[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]
[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]
[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]
[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]
[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]
[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]
[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]
[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]
[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]
[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]
[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]
[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]
[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]
[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]
[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]
[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]
[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]
[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]
[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]
[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]
[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]
[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]
[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]
[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]
[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]
[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]
[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]
[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]
[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]
[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]
[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]
[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]
[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]
[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]
[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]
[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]
[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]
[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]
[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]
[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]
[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]
[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]
[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]
[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]
[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]
[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]
[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]
[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]
[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]
[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]
[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]
[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]
[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]
[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]
[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]
[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]
[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]
[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]
[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]
[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]
[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]
[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]
[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]
[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]
[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]
[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]
[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]
[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]
[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]
[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]
[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]
[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]
[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]
[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]
[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]
[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]
[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]
[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]
[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]
[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]
[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]
[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]
[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]
[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]
[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]
[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]
[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]
[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]
[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]
[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]
[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]
[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]
[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]
[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]
[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]
[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]
[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]
[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]
[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]
[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]
[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]
[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]
[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]
[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]
[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]
[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]
[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]
[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]
[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]
[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]
[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]
[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]
[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]
[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]
[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]
[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]
[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]
[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]
[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]
[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]
[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]
[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]
[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]
[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]
[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]
[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]
[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]
[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]
[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]
[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]
[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]
[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]
[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]
[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]
[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]
[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]
[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]
[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]
[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]
[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]
[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]
[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]
[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]
[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]
[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]
[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]
[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]
[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]
[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]
[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]
[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]
[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]
[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]
[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]
[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]
[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]
[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]
[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]
[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]
[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]
[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]
[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]
[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]
[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]
[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]
[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]
[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]
[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]
[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]
[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]
[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]
[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]
[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]
[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]
[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]
[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]
[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]
[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]
[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]
[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]
[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]
[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]
[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]
[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]
[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]
[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]
[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]
[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]
[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]
[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]
[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]
[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]
[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]
[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]
[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]
[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]
[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]
[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]
[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]
[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]
[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]
[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]
[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]
[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]
[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]
[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]
[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]
[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]
[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]
[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]
[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]
[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]
[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]
[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]
[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]
[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]
[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]
[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]
[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]
[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]
[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]
[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]
[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]
[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]
[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]
[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]
[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]
[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]
[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]
[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]
[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]
[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]
[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]
[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]
[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]
[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]
[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]
[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]
[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]
[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]
[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]
[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]
[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]
[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]
[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]
[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]
[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]
[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]
[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]
[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]
[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]
[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]
[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]
[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]
[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]
[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]
[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]
[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]
[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]
[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]
[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]
[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]
[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]
[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]
[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]
[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]
[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]
[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]
[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]
[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]
[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]
[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]
[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]
[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]
[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]
[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]
[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]
[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]
[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]
[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]
[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]
[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]
[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]
[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]
[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]
[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]
[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]
[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]
[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]
[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]
[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]
[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]
[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]
[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]
[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]
[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]
[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]
[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]
[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]
[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]
[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]
[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]
[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]
[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]
[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]
[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]
[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]
[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]
[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]
[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]
[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]
[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]
[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]
[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]
[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]
[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]
[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]
[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]
[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]
[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]
[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]
[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]
[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]
[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]
[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]
[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]
[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]
[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]
[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]
[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]
[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]
[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]
[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]
[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]
[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]
[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]
[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]
[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]
[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]
[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]
[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]
[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]
[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]
[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]
[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]
[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]
[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]
[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]
[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]
[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]
[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]
[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]
[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]
[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]
[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]
[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]
[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]
[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]
[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]
[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]
[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]
[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]
[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]
[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]
[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]
[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]
[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]
[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]
[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]
[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]
[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]
[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]
[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]
[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]
[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]
[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]
[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]
[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]
[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]
[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]
[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]
[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]
[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]
[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]
[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]
[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]
[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]
[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]
[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]
[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]
[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]
[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]
[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]
[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]
[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]
[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]
[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]
[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]
[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]
[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]
[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]
[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]
[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]
[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]
[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]
[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]
[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]
[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]
[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]
[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]
[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]
[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]
[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]
[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]
[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]
[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]
[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]
[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]
[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]
[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]
[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]
[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]
[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]
[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]
[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]
[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]
[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]
[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]
[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]
[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]
[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]
[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]
[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]
[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]
[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]
[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]
[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]
[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]
[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]
[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]
[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]
[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]
[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]
[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]
[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]
[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]
[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]
[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]
[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]
[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]
[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]
[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]
[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]
[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]
[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]
[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]
[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]
[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]
[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]
[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]
[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]
[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]
[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]
[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]
[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]
[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]
[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]
[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]
[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]
[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]
[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]
[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]
[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]
[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]
[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]
[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]
[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]
[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]
[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]
[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]
[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]
[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]
[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]
[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]
[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]
[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]
[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]
[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]
[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]
[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]
[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]
[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]
[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]
[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]
[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]
[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]
[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]
[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]
[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]
[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]
[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]
[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]
[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]
[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]
[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]
[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]
[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]
[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]
[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]
[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]
[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]
[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]
[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]
[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]
[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]
[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]
[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]
[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]
[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]
[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]
[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]
[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]
[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]
[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]
[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]
[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]
[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]
[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]
[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]
[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]
[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]
[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]
[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]
[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]
[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]
[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]
[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]
[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]
[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]
[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]
[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]
[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]
[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]
[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]
[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]
[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]
[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]
[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]
[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]
[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]
[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]
[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]
[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]
[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]
[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]
[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]
[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]
[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]
[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]
[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]
[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]
[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]
[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]
[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]
[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]
[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]
[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]
[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]
[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]
[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]
[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]
[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]
[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]
[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]
[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]
[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]
[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]
[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]
[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]
[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]
[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]
[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]
[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]
[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]
[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]
[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]
[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]
[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]
[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]
[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]
[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]
[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]
[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]
[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]
[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]
[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]
[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]
[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]
[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]
[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]
[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]
[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]
[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]
[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]
[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]
[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]
[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]
[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]
[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]
[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]
[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]
[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]
[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]
[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]
[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]
[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]
[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]
[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]
[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]
[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]
[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]
[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]
[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]
[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]
[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]
[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]
[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]
[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]
[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]
[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]
[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]
[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]
[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]
[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]
[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]
[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]
[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]
[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]
[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]
[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]
[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]
[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]
[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]
[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]
[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]
[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]
[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]
[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]
[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]
[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]
[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]
[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]
[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]
[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]
[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]
[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]
[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]
[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]
[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]
[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]
[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]
[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]
[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]
[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]
[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]
[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]
[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]
[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]
[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]
[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]
[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]
[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]
[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]
[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]
[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]
[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]
[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]
[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]
[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]
[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]
[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]
[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]
[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]
[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]
[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]
[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]
[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]
[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]
[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]
[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]
[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]
[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]
[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]
[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]
[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]
[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]
[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]
[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]
[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]
[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]
[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]
[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]
[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]
[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]
[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]
[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]
[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]
[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]
[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]
[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]
[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]
[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]
[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]
[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]
[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]
[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]
[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]
[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]
[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]
[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]
[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]
[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]
[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]
[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]
[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]
[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]
[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]
[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]
[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]
[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]
[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]
[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]
[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]
[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]
[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]
[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]
[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]
[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]
[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]
[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]
[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]
[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]
[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]
[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]
[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]
[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]
[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]
[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]
[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]
[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]
[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]
[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]
[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]
[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]
[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]
[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]
[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]
[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]
[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]
[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]
[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]
[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]
[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]
[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]
[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]
[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]
[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]
[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]
[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]
[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]
[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]
[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]
[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]
[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]
[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]
[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]
[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]
[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]
[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]
[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]
[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]
[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]
[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]
[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]
[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]
[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]
[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]
[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]
[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]
[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]
[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]
[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]
[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]
[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]
[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]
[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]
[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]
[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]
[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]
[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]
[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]
[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]
[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]
[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]
[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]
[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]
[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]
[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]
[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]
[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]
[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]
[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]
[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]
[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]
[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]
[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]
[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]
[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]
[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]
[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]
[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]
[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]
[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]
[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]
[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]
[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]
[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]
[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]
[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]
[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]
[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]
[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]
[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]
[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]
[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]
[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]
[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]
[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]
[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]
[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]
[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]
[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]
[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]
[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]
[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]
[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]
[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]
[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]
[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]
[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]
[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]
[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]
[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]
[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]
[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]
[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]
[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]
[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]
[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]
[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]
[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]
[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]
[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]
[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]
[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]
[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]
[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]
[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]
[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]
[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]
[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]
[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]
[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]
[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]
[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]
[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]
[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]
[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]
[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]
[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]
[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]
[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]
[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]
[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]
[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]
[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]
[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]
[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]
[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]
[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]
[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]
[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]
[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]
[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]
[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]
[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]
[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]
[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]
[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]
[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]
[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]
[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]
[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]
[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]
[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]
[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]
[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]
[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]
[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]
[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]
[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]
[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]
[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]
[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]
[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]
[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]
[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]
[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]
[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]
[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]
[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]
[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]
[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]
[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]
[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]
[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]
[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]
[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]
[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]
[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]
[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]
[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]
[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]
[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]
[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]
[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]
[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]
[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]
[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]
[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]
[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]
[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]
[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]
[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]
[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]
[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]
[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]
[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]
[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]
[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]
[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]
[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]
[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]
[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]
[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]
[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]
[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]
[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]
[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]
[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]
[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]
[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]
[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]
[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]
[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]
[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]
[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]
[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]
[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]
[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]
[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]
[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]
[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]
[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]
[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]
[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]
[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]
[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]
[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]
[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]
[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]
[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]
[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]
[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]
[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]
[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]
[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]
[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]
[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]
[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]
[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]
[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]
[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]
[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]
[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]
[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]
[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]
[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]
[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]
[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]
[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]
[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]
[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]
[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]
[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]
[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]
[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]
[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]
[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]
[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]
[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]
[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]
[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]
[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]
[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]
[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]
[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]
[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]
[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]
[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]
[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]
[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]
[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]
[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]
[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]
[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]
[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]
[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]
[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]
[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]
[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]
[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]
[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]
[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]
[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]
[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]
[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]
[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]
[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]
[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]
[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]
[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]
[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]
[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]
[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]
[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]
[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]
[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]
[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]
[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]
[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]
[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]
[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]
[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]
[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]
[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]
[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]
[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]
[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]
[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]
[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]
[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]
[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]
[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]
[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]
[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]
[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]
[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]
[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]
[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]
[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]
[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]
[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]
[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]
[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]
[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]
[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]
[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]
[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]
[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]
[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]
[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]
[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]
[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]
[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]
[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]
[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]
[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]
[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]
[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]
[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]
[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]
[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]
[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]
[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]
[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]
[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]
[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]
[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]
[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]
[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]
[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]
[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]
[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]
[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]
[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]
[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]
[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]
[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]
[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]
[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]
[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]
[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]
[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]
[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]
[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]
[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]
[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]
[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]
[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]
[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]
[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]
[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]
[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]
[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]
[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]
[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]
[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]
[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]
[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]
[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]
[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]
[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]
[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]
[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]
[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]
[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]
[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]
[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]
[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]
[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]
[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]
[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]
[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]
[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]
[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]
[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]
[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]
[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]
[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]
[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]
[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]
[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]
[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]
[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]
[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]
[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]
[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]
[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]
[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]
[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]
[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]
[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]
[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]
[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]
[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]
[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]
[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]
[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]
[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]
[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]
[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]
[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]
[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]
[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]
[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]
[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]
[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]
[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]
[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]
[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]
[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]
[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]
[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]
[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]
[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]
[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]
[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]
[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]
[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]
[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]
[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]
[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]
[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]
[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]
[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]
[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]
[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]
[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]
[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]
[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]
[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]
[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]
[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]
[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]
[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]
[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]
[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]
[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]
[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]
[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]
[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]
[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]
[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]
[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]
[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]
[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]
[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]
[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]
[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]
[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]
[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]
[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]
[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]
[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]
[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]
[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]
[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]
[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]
[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]
[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]
[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]
[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]
[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]
[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]
[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]
[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]
[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]
[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]
[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]
[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]
[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]
[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]
[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]
[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]
[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]
[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]
[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]
[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]
[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]
[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]
[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]
[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]
[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]
[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]
[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]
[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]
[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]
[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]
[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]
[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]
[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]
[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]
[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]
[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]
[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]
[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]
[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]
[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]
[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]
[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]
[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]
[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]
[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]
[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]
[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]
[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]
[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]
[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]
[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]
[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]
[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]
[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]
[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]
[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]
[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]
[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]
[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]
[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]
[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]
[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]
[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]
[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]
[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]
[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]
[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]
[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]
[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]
[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]
[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]
[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]
[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]
[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]
[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]
[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]
[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]
[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]
[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]
[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]
[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]
[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]
[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]
[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]
[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]
[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]
[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]
[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]
[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]
[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]
[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]
[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]
[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]
[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]
[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]
[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]
[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]
[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]
[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]
[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]
[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]
[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]
[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]
[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]
[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]
[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]
[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]
[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]
[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]
[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]
[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]
[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]
[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]
[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]
[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]
[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]
[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]
[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]
[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]
[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]
[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]
[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]
[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]
[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]
[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]
[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]
[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]
[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]
[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]
[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]
[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]
[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]
[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]
[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]
[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]
[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]
[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]
[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]
[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]
[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]
[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]
[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]
[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]
[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]
[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]
[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]
[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]
[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]
[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]
[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]
[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]
[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]
[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]
[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]
[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]
[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]
[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]
[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]
[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]
[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]
[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]
[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]
[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]
[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]
[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]
[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]
[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]
[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]
[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]
[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]
[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]
[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]
[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]
[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]
[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]
[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]
[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]
[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]
[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]
[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]
[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]
[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]
[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]
[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]
[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]
[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]
[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]
[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]
[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]
[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]
[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]
[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]
[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]
[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]
[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]
[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]
[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]
[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]
[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]
[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]
[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]
[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]
[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]
[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]
[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]
[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]
[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]
[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]
[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]
[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]
[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]
[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]
[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]
[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]
[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]
[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]
[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]
[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]
[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]
[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]
[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]
[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]
[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]
[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]
[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]
[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]
[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]
[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]
[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]
[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]
[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]
[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]
[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]
[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]
[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]
[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]
[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]
[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]
[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]
[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]
[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]
[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]
[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]
[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]
[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]
[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]
[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]
[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]
[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]
[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]
[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]
[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]
[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]
[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]
[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]
[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]
[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]
[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]
[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]
[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]
[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]
[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]
[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]
[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]
[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]
[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]
[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]
[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]
[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]
[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]
[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]
[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]
[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]
[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]
[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]
[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]
[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]
[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]
[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]
[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]
[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]
[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]
[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]
[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]
[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]
[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]
[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]
[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]
[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]
[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]
[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]
[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]
[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]
[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]
[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]
[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]
[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]
[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]
[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]
[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]
[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]
[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]
[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]
[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]
[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]
[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]
[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]
[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]
[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]
[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]
[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]
[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]
[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]
[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]
[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]
[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]
[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]
[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]
[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]
[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]
[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]
[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]
[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]
[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]
[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]
[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]
[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]
[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]
[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]
[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]
[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]
[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]
[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]
[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]
[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]
[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]
[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]
[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]
[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]
[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]
[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]
[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]
[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]
[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]
[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]
[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]
[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]
[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]
[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]
[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]
[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]
[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]
[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]
[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]
[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]
[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]
[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]
[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]
[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]
[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]
[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]
[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]
[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]
[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]
[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]
[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]
[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]
[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]
[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]
[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]
[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]
[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]
[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]
[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]
[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]
[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]
[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]
[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]
[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]
[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]
[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]
[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]
[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]
[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]
[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]
[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]
[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]
[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]
[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]
[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]
[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]
[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]
[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]
[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]
[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]
[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]
[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]
[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]
[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]
[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]
[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]
[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]
[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]
[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]
[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]
[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]
[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]
[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]
[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]
[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]
[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]
[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]
[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]
[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]
[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]
[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]
[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]
[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]
[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]
[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]
[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]
[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]
[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]
[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]
[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]
[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]
[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]
[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]
[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]
[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]
[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]
[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]
[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]
[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]
[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]
[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]
[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]
[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]
[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]
[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]
[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]
[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]
[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]
[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]
[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]
[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]
[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]
[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]
[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]
[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]
[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]
[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]
[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]
[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]
[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]
[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]
[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]
[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]
[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]
[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]
[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]
[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]
[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]
[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]
[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]
[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]
[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]
[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]
[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]
[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]
[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]
[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]
[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]
[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]
[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]
[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]
[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]
[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]
[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]
[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]
[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]
[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]
[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]
[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]
[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]
[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]
[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]
[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]
[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]
[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]
[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]
[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]
[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]
[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]
[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]
[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]
[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]
[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]
[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]
[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]
[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]
[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]
[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]
[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]
[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]
[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]
[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]
[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]
[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]
[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]
[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]
[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]
[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]
[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]
[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]
[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]
[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]
[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]
[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]
[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]
[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]
[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]
[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]
[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]
[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]
[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]
[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]
[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]
[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]
[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]
[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]
[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]
[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]
[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]
[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]
[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]
[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]
[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]
[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]
[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]
[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]
[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]
[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]
[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]
[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]
[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]
[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]
[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]
[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]
[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]
[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]
[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]
[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]
[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]
[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]
[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]
[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]
[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]
[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]
[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]
[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]
[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]
[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]
[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]
[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]
[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]
[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]
[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]
[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]
[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]
[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]
[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]
[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]
[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]
[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]
[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]
[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]
[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]
[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]
[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]
[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]
[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]
[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]
[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]
[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]
[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]
[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]
[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]
[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]
[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]
[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]
[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]
[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]
[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]
[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]
[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]
[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]
[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]
[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]
[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]
[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]
[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]
[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]
[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]
[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]
[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]
[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]
[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]
[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]
[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]
[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]
[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]
[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]
[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]
[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]
[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]
[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]
[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]
[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]
[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]
[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]
[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]
[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]
[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]
[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]
[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]
[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]
[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]
[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]
[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]
[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]
[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]
[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]
[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]
[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]
[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]
[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]
[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]
[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]
[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]
[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]
[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]
[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]
[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]
[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]
[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]
[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]
[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]
[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]
[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]
[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]
[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]
[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]
[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]
[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]
[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]
[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]
[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]
[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]
[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]
[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]
[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]
[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]
[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]
[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]
[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]
[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]
[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]
[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]
[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]
[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]
[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]
[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]
[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]
[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]
[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]
[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]
[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]
[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]
[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]
[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]
[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]
[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]
[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]
[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]
[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]
[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]
[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]
[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]
[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]
[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]
[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]
[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]
[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]
[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]
[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]
[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]
[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]
[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]
[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]
[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]
[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]
[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]
[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]
[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]
[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]
[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]
[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]
[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]
[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]
[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]
[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]
[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]
[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]
[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]
[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]
[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]
[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]
[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]
[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]
[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]
[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]
[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]
[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]
[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]
[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]
[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]
[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]
[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]
[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]
[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]
[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]
[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]
[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]
[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]
[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]
[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]
[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]
[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]
[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]
[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]
[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]
[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]
[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]
[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]
[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]
[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]
[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]
[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]
[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]
[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]
[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]
[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]
[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]
[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]
[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]
[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]
[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]
[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]
[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]
[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]
[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]
[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]
[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]
[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]
[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]
[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]
[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]
[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]
[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]
[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]
[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]
[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]
[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]
[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]
[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]
[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]
[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]
[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]
[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]
[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]
[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]
[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]
[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]
[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]
[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]
[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]
[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]
[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]
[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]
[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]
[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]
[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]
[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]
[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]
[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]
[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]
[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]
[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]
[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]
[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]
[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]
[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]
[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]
[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]
[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]
[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]
[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]
[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]
[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]
[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]
[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]
[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]
[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]
[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]
[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]
[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]
[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]
[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]
[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]
[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]
[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]
[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]
[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]
[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]
[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]
[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]
[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]
[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]
[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]
[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]
[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]
[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]
[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]
[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]
[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]
[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]
[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]
[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]
[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]
[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]
[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]
[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]
[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]
[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]
[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]
[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]
[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]
[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]
[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]
[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]
[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]
[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]
[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]
[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]
[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]
[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]
[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]
[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]
[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]
[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]
[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]
[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]
[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]
[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]
[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]
[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]
[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]
[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]
[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]
[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]
[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]
[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]
[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]
[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]
[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]
[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]
[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]
[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]
[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]
[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]
[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]
[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]
[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]
[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]
[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]
[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]
[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]
[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]
[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]
[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]
[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]
[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]
[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]
[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]
[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]
[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]
[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]
[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]
[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]
[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]
[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]
[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]
[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]
[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]
[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]
[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]
[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]
[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]
[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]
[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]
[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]
[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]
[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]
[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]
[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]
[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]
[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]
[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]
[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]
[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]
[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]
[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]
[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]
[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]
[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]
[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]
[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]
[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]
[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]
[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]
[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]
[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]
[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]
[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]
[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]
[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]
[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]
[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]
[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]
[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]
[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]
[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]
[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]
[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]
[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]
[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]
[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]
[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]
[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]
[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]
[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]
[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]
[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]
[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]
[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]
[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]
[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]
[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]
[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]
[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]
[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]
[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]
[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]
[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]
[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]
[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]
[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]
[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]
[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]
[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]
[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]
[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]
[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]
[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]
[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]
[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]
[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]
[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]
[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]
[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]
[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]
[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]
[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]
[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]
[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]
[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]
[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]
[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]
[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]
[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]
[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]
[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]
[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]
[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]
[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]
[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]
[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]
[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]
[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]
[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]
[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]
[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]
[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]
[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]
[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]
[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]
[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]
[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]
[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]
[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]
[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]
[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]
[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]
[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]
[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]
[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]
[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]
[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]
[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]
[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]
[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]
[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]
[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]
[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]
[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]
[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]
[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]
[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]
[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]
[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]
[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]
[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]
[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]
[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]
[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]
[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]
[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]
[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]
[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]
[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]
[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]
[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]
[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]
[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]
[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]
[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]
[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]
[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]
[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]
[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]
[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]
[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]
[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]
[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]
[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]
[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]
[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]
[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]
[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]
[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]
[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]
[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]
[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]
[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]
[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]
[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]
[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]
[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]
[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]
[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]
[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]
[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]
[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]
[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]
[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]
[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]
[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]
[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]
[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]
[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]
[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]
[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]
[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]
[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]
[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]
[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]
[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]
[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]
[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]
[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]
[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]
[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]
[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]
[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]
[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]
[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]
[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]
[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]
[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]
[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]
[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]
[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]
[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]
[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]
[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]
[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]
[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]
[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]
[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]
[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]
[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]
[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]
[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]
[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]
[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]
[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]
[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]
[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]
[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]
[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]
[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]
[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]
[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]
[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]
[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]
[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]
[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]
[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]
[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]
[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]
[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]
[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]
[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]
[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]
[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]
[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]
[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]
[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]
[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]
[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]
[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]
[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]
[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]
[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]
[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]
[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]
[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]
[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]
[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]
[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]
[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]
[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]
[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]
[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]
[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]
[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]
[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]
[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]
[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]
[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]
[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]
[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]
[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]
[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]
[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]
[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]
[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]
[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]
[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]
[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]
[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]
[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]
[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]
[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]
[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]
[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]
[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]
[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]
[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]
[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]
[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]
[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]
[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]
[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]
[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]
[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]
[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]
[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]
[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]
[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]
[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]
[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]
[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]
[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]
[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]
[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]
[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]
[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]
[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]
[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]
[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]
[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]
[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]
[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]
[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]
[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]
[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]
[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]
[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]
[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]
[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]
[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]
[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]
[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]
[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]
[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]
[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]
[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]
[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]
[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]
[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]
[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]
[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]
[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]
[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]
[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]
[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]
[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]
[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]
[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]
[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]
[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]
[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]
[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]
[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]
[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]
[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]
[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]
[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]
[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]
[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]
[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]
[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]
[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]
[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]
[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]
[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]
[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]
[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]
[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]
[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]
[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]
[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]
[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]
[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]
[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]
[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]
[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]
[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]
[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]
[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]
[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]
[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]
[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]
[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]
[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]
[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]
[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]
[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]
[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]
[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]
[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]
[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]
[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]
[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]
[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]
[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]
[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]
[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]
[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]
[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]
[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]
[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]
[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]
[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]
[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]
[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]
[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]
[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]
[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]
[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]
[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]
[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]
[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]
[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]
[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]
[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]
[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]
[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]
[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]
[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]
[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]
[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]
[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]
[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]
[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]
[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]
[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]
[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]
[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]
[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]
[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]
[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]
[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]
[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]
[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]
[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]
[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]
[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]
[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]
[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]
[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]
[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]
[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]
[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]
[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]
[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]
[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]
[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]
[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]
[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]
[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]
[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]
[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]
[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]
[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]
[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]
[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]
[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]
[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]
[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]
[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]
[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]
[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]
[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]
[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]
[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]
[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]
[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]
[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]
[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]
[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]
[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]
[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]
[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]
[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]
[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]
[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]
[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]
[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]
[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]
[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]
[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]
[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]
[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]
[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]
[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]
[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]
[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]
[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]
[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]
[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]
[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]
[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]
[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]
[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]
[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]
[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]
[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]
[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]
[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]
[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]
[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]
[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]
[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]
[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]
[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]
[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]
[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]
[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]
[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]
[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]
[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]
[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]
[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]
[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]
[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]
[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]
[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]
[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]
[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]
[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]
[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]
[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]
[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]
[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]
[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]
[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]
[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]
[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]
[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]
[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]
[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]
[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]
[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]
[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]
[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]
[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]
[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]
[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]
[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]
[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]
[8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]
[8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]
[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]
[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]
[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]
[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]
[6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]
[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]
[7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]
[8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8]
[7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]
[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]
[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]
[8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]
[8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]
[8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]
[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]
[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]
[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]
[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]
[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]
[7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]
[6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]
[7,5,4,6,8,3,2,1]=>[1,2,3,8,6,4,5,7]
[7,4,5,6,8,3,2,1]=>[1,2,3,8,6,5,4,7]
[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]
[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]
[6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]
[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]
[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]
[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]
[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]
[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]
[7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]
[6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]
[7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]
[8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8]
[8,5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5,8]
[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]
[6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]
[7,5,6,8,3,4,2,1]=>[1,2,4,3,8,6,5,7]
[6,5,7,8,3,4,2,1]=>[1,2,4,3,8,7,5,6]
[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]
[8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]
[7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]
[8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8]
[7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]
[6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]
[8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8]
[7,8,6,3,4,5,2,1]=>[1,2,5,4,3,6,8,7]
[8,6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6,8]
[7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]
[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]
[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]
[7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]
[8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]
[7,8,4,5,3,6,2,1]=>[1,2,6,3,5,4,8,7]
[8,7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7,8]
[7,8,5,3,4,6,2,1]=>[1,2,6,4,3,5,8,7]
[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]
[7,8,4,3,5,6,2,1]=>[1,2,6,5,3,4,8,7]
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]
[7,8,3,4,5,6,2,1]=>[1,2,6,5,4,3,8,7]
[8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]
[8,5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5,8]
[8,6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6,8]
[8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8]
[8,4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4,8]
[8,6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6,8]
[8,5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5,8]
[8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]
[8,6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6,8]
[8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]
[8,4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4,8]
[8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]
[8,4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4,8]
[8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]
[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]
[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]
[7,5,6,4,3,8,2,1]=>[1,2,8,3,4,6,5,7]
[6,5,7,4,3,8,2,1]=>[1,2,8,3,4,7,5,6]
[5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]
[7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]
[6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]
[7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]
[7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7]
[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]
[5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]
[6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]
[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]
[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]
[7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]
[6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]
[7,5,6,3,4,8,2,1]=>[1,2,8,4,3,6,5,7]
[6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]
[5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]
[7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]
[6,7,4,3,5,8,2,1]=>[1,2,8,5,3,4,7,6]
[7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]
[6,7,3,4,5,8,2,1]=>[1,2,8,5,4,3,7,6]
[7,5,4,3,6,8,2,1]=>[1,2,8,6,3,4,5,7]
[7,4,5,3,6,8,2,1]=>[1,2,8,6,3,5,4,7]
[7,5,3,4,6,8,2,1]=>[1,2,8,6,4,3,5,7]
[7,4,3,5,6,8,2,1]=>[1,2,8,6,5,3,4,7]
[7,3,4,5,6,8,2,1]=>[1,2,8,6,5,4,3,7]
[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]
[5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]
[6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6]
[5,4,6,3,7,8,2,1]=>[1,2,8,7,3,6,4,5]
[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]
[6,5,3,4,7,8,2,1]=>[1,2,8,7,4,3,5,6]
[5,6,3,4,7,8,2,1]=>[1,2,8,7,4,3,6,5]
[6,4,3,5,7,8,2,1]=>[1,2,8,7,5,3,4,6]
[6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6]
[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]
[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]
[5,3,4,6,7,8,2,1]=>[1,2,8,7,6,4,3,5]
[4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]
[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]
[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]
[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]
[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]
[6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]
[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]
[7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]
[8,6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6,8]
[8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]
[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]
[6,7,5,8,4,2,3,1]=>[1,3,2,4,8,5,7,6]
[7,5,6,8,4,2,3,1]=>[1,3,2,4,8,6,5,7]
[6,5,7,8,4,2,3,1]=>[1,3,2,4,8,7,5,6]
[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]
[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]
[7,8,6,4,5,2,3,1]=>[1,3,2,5,4,6,8,7]
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]
[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]
[6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]
[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]
[7,8,5,4,6,2,3,1]=>[1,3,2,6,4,5,8,7]
[8,7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7,8]
[7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]
[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]
[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]
[8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]
[8,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,8]
[8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]
[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]
[6,7,5,4,8,2,3,1]=>[1,3,2,8,4,5,7,6]
[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]
[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]
[5,6,7,4,8,2,3,1]=>[1,3,2,8,4,7,6,5]
[7,6,4,5,8,2,3,1]=>[1,3,2,8,5,4,6,7]
[6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6]
[7,5,4,6,8,2,3,1]=>[1,3,2,8,6,4,5,7]
[7,4,5,6,8,2,3,1]=>[1,3,2,8,6,5,4,7]
[6,5,4,7,8,2,3,1]=>[1,3,2,8,7,4,5,6]
[5,6,4,7,8,2,3,1]=>[1,3,2,8,7,4,6,5]
[6,4,5,7,8,2,3,1]=>[1,3,2,8,7,5,4,6]
[5,4,6,7,8,2,3,1]=>[1,3,2,8,7,6,4,5]
[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]
[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]
[7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]
[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]
[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]
[6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]
[8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]
[7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]
[8,5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5,8]
[7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]
[6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]
[7,5,6,8,3,2,4,1]=>[1,4,2,3,8,6,5,7]
[6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]
[5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]
[8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]
[8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]
[7,6,8,5,2,3,4,1]=>[1,4,3,2,5,8,6,7]
[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]
[8,7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7,8]
[7,8,5,6,2,3,4,1]=>[1,4,3,2,6,5,8,7]
[8,6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6,8]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]
[7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]
[6,7,5,8,2,3,4,1]=>[1,4,3,2,8,5,7,6]
[7,5,6,8,2,3,4,1]=>[1,4,3,2,8,6,5,7]
[6,5,7,8,2,3,4,1]=>[1,4,3,2,8,7,5,6]
[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]
[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]
[7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]
[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]
[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]
[6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]
[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]
[7,8,6,3,4,2,5,1]=>[1,5,2,4,3,6,8,7]
[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]
[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]
[6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]
[8,7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7,8]
[7,8,6,4,2,3,5,1]=>[1,5,3,2,4,6,8,7]
[8,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,8]
[7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]
[6,7,8,4,2,3,5,1]=>[1,5,3,2,4,8,7,6]
[8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]
[7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]
[8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]
[7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]
[6,7,8,3,2,4,5,1]=>[1,5,4,2,3,8,7,6]
[8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]
[7,8,6,2,3,4,5,1]=>[1,5,4,3,2,6,8,7]
[8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]
[7,6,8,2,3,4,5,1]=>[1,5,4,3,2,8,6,7]
[6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]
[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]
[7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]
[8,7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7,8]
[7,8,4,5,3,2,6,1]=>[1,6,2,3,5,4,8,7]
[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]
[7,8,5,3,4,2,6,1]=>[1,6,2,4,3,5,8,7]
[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]
[7,8,4,3,5,2,6,1]=>[1,6,2,5,3,4,8,7]
[8,7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7,8]
[7,8,3,4,5,2,6,1]=>[1,6,2,5,4,3,8,7]
[8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]
[7,8,5,4,2,3,6,1]=>[1,6,3,2,4,5,8,7]
[8,7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7,8]
[7,8,4,5,2,3,6,1]=>[1,6,3,2,5,4,8,7]
[8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]
[7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]
[8,7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7,8]
[7,8,5,2,3,4,6,1]=>[1,6,4,3,2,5,8,7]
[8,7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7,8]
[7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]
[8,7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7,8]
[7,8,3,4,2,5,6,1]=>[1,6,5,2,4,3,8,7]
[8,7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7,8]
[7,8,4,2,3,5,6,1]=>[1,6,5,3,2,4,8,7]
[8,7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7,8]
[7,8,3,2,4,5,6,1]=>[1,6,5,4,2,3,8,7]
[8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]
[7,8,2,3,4,5,6,1]=>[1,6,5,4,3,2,8,7]
[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]
[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]
[8,6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6,8]
[8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]
[8,4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4,8]
[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]
[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]
[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]
[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]
[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]
[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]
[8,5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5,8]
[8,4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4,8]
[8,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,8]
[8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]
[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]
[8,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,8]
[8,5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5,8]
[8,4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4,8]
[8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]
[8,5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5,8]
[8,6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6,8]
[8,5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5,8]
[8,6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6,8]
[8,6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6,8]
[8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]
[8,6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6,8]
[8,6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6,8]
[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]
[8,4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4,8]
[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]
[8,4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4,8]
[8,3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3,8]
[8,5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5,8]
[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]
[8,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,8]
[8,5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5,8]
[8,4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4,8]
[8,3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3,8]
[8,4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4,8]
[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]
[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]
[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]
[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]
[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]
[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]
[5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]
[7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]
[6,7,4,5,3,2,8,1]=>[1,8,2,3,5,4,7,6]
[7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]
[7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]
[6,5,4,7,3,2,8,1]=>[1,8,2,3,7,4,5,6]
[5,6,4,7,3,2,8,1]=>[1,8,2,3,7,4,6,5]
[6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]
[5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]
[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]
[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]
[6,7,5,3,4,2,8,1]=>[1,8,2,4,3,5,7,6]
[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]
[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]
[5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]
[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]
[6,7,4,3,5,2,8,1]=>[1,8,2,5,3,4,7,6]
[7,6,3,4,5,2,8,1]=>[1,8,2,5,4,3,6,7]
[6,7,3,4,5,2,8,1]=>[1,8,2,5,4,3,7,6]
[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]
[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]
[7,5,3,4,6,2,8,1]=>[1,8,2,6,4,3,5,7]
[7,4,3,5,6,2,8,1]=>[1,8,2,6,5,3,4,7]
[7,3,4,5,6,2,8,1]=>[1,8,2,6,5,4,3,7]
[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]
[5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]
[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]
[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]
[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]
[6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]
[5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]
[6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]
[6,3,4,5,7,2,8,1]=>[1,8,2,7,5,4,3,6]
[5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]
[4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]
[5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]
[4,3,5,6,7,2,8,1]=>[1,8,2,7,6,5,3,4]
[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]
[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]
[6,7,5,4,2,3,8,1]=>[1,8,3,2,4,5,7,6]
[7,5,6,4,2,3,8,1]=>[1,8,3,2,4,6,5,7]
[6,5,7,4,2,3,8,1]=>[1,8,3,2,4,7,5,6]
[5,6,7,4,2,3,8,1]=>[1,8,3,2,4,7,6,5]
[7,6,4,5,2,3,8,1]=>[1,8,3,2,5,4,6,7]
[6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]
[7,5,4,6,2,3,8,1]=>[1,8,3,2,6,4,5,7]
[7,4,5,6,2,3,8,1]=>[1,8,3,2,6,5,4,7]
[6,5,4,7,2,3,8,1]=>[1,8,3,2,7,4,5,6]
[5,6,4,7,2,3,8,1]=>[1,8,3,2,7,4,6,5]
[6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]
[5,4,6,7,2,3,8,1]=>[1,8,3,2,7,6,4,5]
[4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]
[7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]
[6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]
[7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]
[6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]
[5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]
[7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]
[6,7,5,2,3,4,8,1]=>[1,8,4,3,2,5,7,6]
[7,5,6,2,3,4,8,1]=>[1,8,4,3,2,6,5,7]
[6,5,7,2,3,4,8,1]=>[1,8,4,3,2,7,5,6]
[5,6,7,2,3,4,8,1]=>[1,8,4,3,2,7,6,5]
[7,6,4,3,2,5,8,1]=>[1,8,5,2,3,4,6,7]
[6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]
[7,6,3,4,2,5,8,1]=>[1,8,5,2,4,3,6,7]
[6,7,3,4,2,5,8,1]=>[1,8,5,2,4,3,7,6]
[7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]
[6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]
[7,6,3,2,4,5,8,1]=>[1,8,5,4,2,3,6,7]
[6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]
[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]
[6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]
[7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]
[7,4,5,3,2,6,8,1]=>[1,8,6,2,3,5,4,7]
[7,5,3,4,2,6,8,1]=>[1,8,6,2,4,3,5,7]
[7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7]
[7,3,4,5,2,6,8,1]=>[1,8,6,2,5,4,3,7]
[7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]
[7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]
[7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]
[7,5,2,3,4,6,8,1]=>[1,8,6,4,3,2,5,7]
[7,4,3,2,5,6,8,1]=>[1,8,6,5,2,3,4,7]
[7,3,4,2,5,6,8,1]=>[1,8,6,5,2,4,3,7]
[7,4,2,3,5,6,8,1]=>[1,8,6,5,3,2,4,7]
[7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]
[7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]
[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]
[5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5]
[6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]
[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]
[4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]
[6,5,3,4,2,7,8,1]=>[1,8,7,2,4,3,5,6]
[5,6,3,4,2,7,8,1]=>[1,8,7,2,4,3,6,5]
[6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]
[6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]
[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]
[4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]
[5,3,4,6,2,7,8,1]=>[1,8,7,2,6,4,3,5]
[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]
[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]
[6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]
[5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]
[6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]
[5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]
[4,5,6,2,3,7,8,1]=>[1,8,7,3,2,6,5,4]
[6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]
[5,6,3,2,4,7,8,1]=>[1,8,7,4,2,3,6,5]
[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]
[5,6,2,3,4,7,8,1]=>[1,8,7,4,3,2,6,5]
[6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]
[6,3,4,2,5,7,8,1]=>[1,8,7,5,2,4,3,6]
[6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]
[6,3,2,4,5,7,8,1]=>[1,8,7,5,4,2,3,6]
[6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]
[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]
[4,5,3,2,6,7,8,1]=>[1,8,7,6,2,3,5,4]
[5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]
[4,3,5,2,6,7,8,1]=>[1,8,7,6,2,5,3,4]
[3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]
[5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]
[4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]
[5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]
[5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]
[4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]
[3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]
[4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4]
[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]
[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]
[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]
[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]
[7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7]
[6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]
[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]
[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]
[8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8]
[8,5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5,8]
[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]
[6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]
[7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7]
[6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]
[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]
[8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8]
[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]
[8,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,8]
[7,6,8,4,5,3,1,2]=>[2,1,3,5,4,8,6,7]
[6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]
[8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]
[7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7]
[8,7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7,8]
[7,8,4,5,6,3,1,2]=>[2,1,3,6,5,4,8,7]
[8,6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6,8]
[8,5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5,8]
[8,6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6,8]
[8,5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5,8]
[8,4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4,8]
[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]
[6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]
[7,5,6,4,8,3,1,2]=>[2,1,3,8,4,6,5,7]
[6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]
[5,6,7,4,8,3,1,2]=>[2,1,3,8,4,7,6,5]
[7,6,4,5,8,3,1,2]=>[2,1,3,8,5,4,6,7]
[6,7,4,5,8,3,1,2]=>[2,1,3,8,5,4,7,6]
[7,5,4,6,8,3,1,2]=>[2,1,3,8,6,4,5,7]
[7,4,5,6,8,3,1,2]=>[2,1,3,8,6,5,4,7]
[6,5,4,7,8,3,1,2]=>[2,1,3,8,7,4,5,6]
[5,6,4,7,8,3,1,2]=>[2,1,3,8,7,4,6,5]
[6,4,5,7,8,3,1,2]=>[2,1,3,8,7,5,4,6]
[5,4,6,7,8,3,1,2]=>[2,1,3,8,7,6,4,5]
[4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]
[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]
[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]
[8,6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6,8]
[7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7]
[6,7,8,5,3,4,1,2]=>[2,1,4,3,5,8,7,6]
[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]
[8,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,8]
[8,5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5,8]
[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]
[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]
[7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]
[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]
[8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8]
[7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7]
[8,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,8]
[7,6,8,4,3,5,1,2]=>[2,1,5,3,4,8,6,7]
[6,7,8,4,3,5,1,2]=>[2,1,5,3,4,8,7,6]
[8,7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7,8]
[7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]
[8,6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6,8]
[7,6,8,3,4,5,1,2]=>[2,1,5,4,3,8,6,7]
[6,7,8,3,4,5,1,2]=>[2,1,5,4,3,8,7,6]
[8,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,8]
[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]
[8,7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7,8]
[7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]
[8,7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7,8]
[7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]
[8,7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7,8]
[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]
[8,7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7,8]
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]
[8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]
[8,5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5,8]
[8,6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6,8]
[8,5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5,8]
[8,4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4,8]
[8,6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6,8]
[8,5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5,8]
[8,6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6,8]
[8,6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6,8]
[8,5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5,8]
[8,4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4,8]
[8,5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5,8]
[8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]
[8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8]
[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]
[6,7,5,4,3,8,1,2]=>[2,1,8,3,4,5,7,6]
[7,5,6,4,3,8,1,2]=>[2,1,8,3,4,6,5,7]
[6,5,7,4,3,8,1,2]=>[2,1,8,3,4,7,5,6]
[5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]
[7,6,4,5,3,8,1,2]=>[2,1,8,3,5,4,6,7]
[6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]
[7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]
[7,4,5,6,3,8,1,2]=>[2,1,8,3,6,5,4,7]
[6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]
[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]
[6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]
[5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]
[4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]
[7,6,5,3,4,8,1,2]=>[2,1,8,4,3,5,6,7]
[6,7,5,3,4,8,1,2]=>[2,1,8,4,3,5,7,6]
[7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]
[6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]
[5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]
[7,6,4,3,5,8,1,2]=>[2,1,8,5,3,4,6,7]
[6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]
[7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]
[6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]
[7,5,4,3,6,8,1,2]=>[2,1,8,6,3,4,5,7]
[7,4,5,3,6,8,1,2]=>[2,1,8,6,3,5,4,7]
[7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]
[7,4,3,5,6,8,1,2]=>[2,1,8,6,5,3,4,7]
[7,3,4,5,6,8,1,2]=>[2,1,8,6,5,4,3,7]
[6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]
[5,6,4,3,7,8,1,2]=>[2,1,8,7,3,4,6,5]
[6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]
[5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]
[4,5,6,3,7,8,1,2]=>[2,1,8,7,3,6,5,4]
[6,5,3,4,7,8,1,2]=>[2,1,8,7,4,3,5,6]
[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]
[6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]
[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]
[5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]
[4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]
[5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]
[4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]
[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]
[7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7]
[8,6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6,8]
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]
[6,7,8,5,4,2,1,3]=>[3,1,2,4,5,8,7,6]
[8,7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7,8]
[7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]
[8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8]
[8,5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5,8]
[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]
[6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]
[7,5,6,8,4,2,1,3]=>[3,1,2,4,8,6,5,7]
[6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]
[5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]
[8,7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7,8]
[7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]
[8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8]
[7,6,8,4,5,2,1,3]=>[3,1,2,5,4,8,6,7]
[6,7,8,4,5,2,1,3]=>[3,1,2,5,4,8,7,6]
[8,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,8]
[7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]
[8,7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7,8]
[7,8,4,5,6,2,1,3]=>[3,1,2,6,5,4,8,7]
[8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]
[8,5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5,8]
[8,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,8]
[8,5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5,8]
[8,4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4,8]
[7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7]
[6,7,5,4,8,2,1,3]=>[3,1,2,8,4,5,7,6]
[7,5,6,4,8,2,1,3]=>[3,1,2,8,4,6,5,7]
[6,5,7,4,8,2,1,3]=>[3,1,2,8,4,7,5,6]
[5,6,7,4,8,2,1,3]=>[3,1,2,8,4,7,6,5]
[7,6,4,5,8,2,1,3]=>[3,1,2,8,5,4,6,7]
[6,7,4,5,8,2,1,3]=>[3,1,2,8,5,4,7,6]
[7,5,4,6,8,2,1,3]=>[3,1,2,8,6,4,5,7]
[7,4,5,6,8,2,1,3]=>[3,1,2,8,6,5,4,7]
[6,5,4,7,8,2,1,3]=>[3,1,2,8,7,4,5,6]
[5,6,4,7,8,2,1,3]=>[3,1,2,8,7,4,6,5]
[6,4,5,7,8,2,1,3]=>[3,1,2,8,7,5,4,6]
[5,4,6,7,8,2,1,3]=>[3,1,2,8,7,6,4,5]
[4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]
[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]
[7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]
[8,6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6,8]
[7,6,8,5,4,1,2,3]=>[3,2,1,4,5,8,6,7]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]
[8,7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7,8]
[7,8,5,6,4,1,2,3]=>[3,2,1,4,6,5,8,7]
[8,6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6,8]
[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]
[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]
[6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]
[7,5,6,8,4,1,2,3]=>[3,2,1,4,8,6,5,7]
[6,5,7,8,4,1,2,3]=>[3,2,1,4,8,7,5,6]
[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]
[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]
[7,8,6,4,5,1,2,3]=>[3,2,1,5,4,6,8,7]
[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]
[7,6,8,4,5,1,2,3]=>[3,2,1,5,4,8,6,7]
[6,7,8,4,5,1,2,3]=>[3,2,1,5,4,8,7,6]
[8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]
[7,8,5,4,6,1,2,3]=>[3,2,1,6,4,5,8,7]
[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]
[7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]
[8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]
[8,5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5,8]
[8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8]
[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]
[8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]
[7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]
[6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]
[7,5,6,4,8,1,2,3]=>[3,2,1,8,4,6,5,7]
[6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]
[5,6,7,4,8,1,2,3]=>[3,2,1,8,4,7,6,5]
[7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]
[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]
[7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]
[7,4,5,6,8,1,2,3]=>[3,2,1,8,6,5,4,7]
[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]
[5,6,4,7,8,1,2,3]=>[3,2,1,8,7,4,6,5]
[6,4,5,7,8,1,2,3]=>[3,2,1,8,7,5,4,6]
[5,4,6,7,8,1,2,3]=>[3,2,1,8,7,6,4,5]
[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]
[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]
[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]
[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]
[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]
[6,7,8,5,3,2,1,4]=>[4,1,2,3,5,8,7,6]
[8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]
[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]
[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]
[8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]
[6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]
[7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]
[6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]
[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]
[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]
[7,8,6,5,2,3,1,4]=>[4,1,3,2,5,6,8,7]
[8,6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6,8]
[7,6,8,5,2,3,1,4]=>[4,1,3,2,5,8,6,7]
[6,7,8,5,2,3,1,4]=>[4,1,3,2,5,8,7,6]
[8,7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7,8]
[7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]
[8,6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6,8]
[8,5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5,8]
[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]
[6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]
[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]
[6,5,7,8,2,3,1,4]=>[4,1,3,2,8,7,5,6]
[5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]
[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]
[7,8,6,5,3,1,2,4]=>[4,2,1,3,5,6,8,7]
[8,6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6,8]
[7,6,8,5,3,1,2,4]=>[4,2,1,3,5,8,6,7]
[6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]
[8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]
[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]
[8,6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6,8]
[8,5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5,8]
[7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]
[7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]
[6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]
[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]
[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]
[7,8,6,5,2,1,3,4]=>[4,3,1,2,5,6,8,7]
[8,6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6,8]
[7,6,8,5,2,1,3,4]=>[4,3,1,2,5,8,6,7]
[6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]
[8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8]
[7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]
[8,6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6,8]
[8,5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5,8]
[7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]
[6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]
[7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]
[5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]
[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]
[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]
[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]
[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]
[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]
[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]
[8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]
[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]
[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]
[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]
[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]
[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]
[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]
[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]
[8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8]
[7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7]
[6,7,8,4,3,2,1,5]=>[5,1,2,3,4,8,7,6]
[8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]
[7,8,6,3,4,2,1,5]=>[5,1,2,4,3,6,8,7]
[8,6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6,8]
[7,6,8,3,4,2,1,5]=>[5,1,2,4,3,8,6,7]
[6,7,8,3,4,2,1,5]=>[5,1,2,4,3,8,7,6]
[8,7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7,8]
[7,8,6,4,2,3,1,5]=>[5,1,3,2,4,6,8,7]
[8,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,8]
[7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]
[6,7,8,4,2,3,1,5]=>[5,1,3,2,4,8,7,6]
[8,7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7,8]
[7,8,6,3,2,4,1,5]=>[5,1,4,2,3,6,8,7]
[8,6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6,8]
[7,6,8,3,2,4,1,5]=>[5,1,4,2,3,8,6,7]
[6,7,8,3,2,4,1,5]=>[5,1,4,2,3,8,7,6]
[8,7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7,8]
[7,8,6,2,3,4,1,5]=>[5,1,4,3,2,6,8,7]
[8,6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6,8]
[7,6,8,2,3,4,1,5]=>[5,1,4,3,2,8,6,7]
[6,7,8,2,3,4,1,5]=>[5,1,4,3,2,8,7,6]
[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]
[7,8,6,4,3,1,2,5]=>[5,2,1,3,4,6,8,7]
[8,6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6,8]
[7,6,8,4,3,1,2,5]=>[5,2,1,3,4,8,6,7]
[6,7,8,4,3,1,2,5]=>[5,2,1,3,4,8,7,6]
[8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]
[7,8,6,3,4,1,2,5]=>[5,2,1,4,3,6,8,7]
[8,6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6,8]
[7,6,8,3,4,1,2,5]=>[5,2,1,4,3,8,6,7]
[6,7,8,3,4,1,2,5]=>[5,2,1,4,3,8,7,6]
[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]
[7,8,6,4,2,1,3,5]=>[5,3,1,2,4,6,8,7]
[8,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,8]
[7,6,8,4,2,1,3,5]=>[5,3,1,2,4,8,6,7]
[6,7,8,4,2,1,3,5]=>[5,3,1,2,4,8,7,6]
[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]
[7,8,6,4,1,2,3,5]=>[5,3,2,1,4,6,8,7]
[8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8]
[7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7]
[6,7,8,4,1,2,3,5]=>[5,3,2,1,4,8,7,6]
[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]
[7,8,6,3,2,1,4,5]=>[5,4,1,2,3,6,8,7]
[8,6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6,8]
[7,6,8,3,2,1,4,5]=>[5,4,1,2,3,8,6,7]
[6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]
[8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8]
[7,8,6,2,3,1,4,5]=>[5,4,1,3,2,6,8,7]
[8,6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6,8]
[7,6,8,2,3,1,4,5]=>[5,4,1,3,2,8,6,7]
[6,7,8,2,3,1,4,5]=>[5,4,1,3,2,8,7,6]
[8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]
[7,8,6,3,1,2,4,5]=>[5,4,2,1,3,6,8,7]
[8,6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6,8]
[7,6,8,3,1,2,4,5]=>[5,4,2,1,3,8,6,7]
[6,7,8,3,1,2,4,5]=>[5,4,2,1,3,8,7,6]
[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]
[7,8,6,2,1,3,4,5]=>[5,4,3,1,2,6,8,7]
[8,6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6,8]
[7,6,8,2,1,3,4,5]=>[5,4,3,1,2,8,6,7]
[6,7,8,2,1,3,4,5]=>[5,4,3,1,2,8,7,6]
[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]
[7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]
[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]
[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]
[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]
[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]
[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]
[8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]
[7,8,4,5,3,2,1,6]=>[6,1,2,3,5,4,8,7]
[8,7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7,8]
[7,8,5,3,4,2,1,6]=>[6,1,2,4,3,5,8,7]
[8,7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7,8]
[7,8,4,3,5,2,1,6]=>[6,1,2,5,3,4,8,7]
[8,7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7,8]
[7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]
[8,7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7,8]
[7,8,5,4,2,3,1,6]=>[6,1,3,2,4,5,8,7]
[8,7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7,8]
[7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7]
[8,7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7,8]
[7,8,5,3,2,4,1,6]=>[6,1,4,2,3,5,8,7]
[8,7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7,8]
[7,8,5,2,3,4,1,6]=>[6,1,4,3,2,5,8,7]
[8,7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7,8]
[7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]
[8,7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7,8]
[7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]
[8,7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7,8]
[7,8,4,2,3,5,1,6]=>[6,1,5,3,2,4,8,7]
[8,7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7,8]
[7,8,3,2,4,5,1,6]=>[6,1,5,4,2,3,8,7]
[8,7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7,8]
[7,8,2,3,4,5,1,6]=>[6,1,5,4,3,2,8,7]
[8,7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7,8]
[7,8,5,4,3,1,2,6]=>[6,2,1,3,4,5,8,7]
[8,7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7,8]
[7,8,4,5,3,1,2,6]=>[6,2,1,3,5,4,8,7]
[8,7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7,8]
[7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]
[8,7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7,8]
[7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]
[8,7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7,8]
[7,8,3,4,5,1,2,6]=>[6,2,1,5,4,3,8,7]
[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]
[7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]
[8,7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7,8]
[7,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,7]
[8,7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7,8]
[7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]
[8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]
[7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]
[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]
[7,8,5,3,2,1,4,6]=>[6,4,1,2,3,5,8,7]
[8,7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7,8]
[7,8,5,2,3,1,4,6]=>[6,4,1,3,2,5,8,7]
[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]
[7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]
[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]
[7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]
[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]
[7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]
[8,7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7,8]
[7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7]
[8,7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7,8]
[7,8,3,4,2,1,5,6]=>[6,5,1,2,4,3,8,7]
[8,7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7,8]
[7,8,4,2,3,1,5,6]=>[6,5,1,3,2,4,8,7]
[8,7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7,8]
[7,8,3,2,4,1,5,6]=>[6,5,1,4,2,3,8,7]
[8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8]
[7,8,2,3,4,1,5,6]=>[6,5,1,4,3,2,8,7]
[8,7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7,8]
[7,8,4,3,1,2,5,6]=>[6,5,2,1,3,4,8,7]
[8,7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7,8]
[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]
[8,7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7,8]
[7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]
[8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]
[7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]
[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]
[7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]
[8,7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7,8]
[7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]
[8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]
[7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]
[8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]
[7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]
[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]
[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]
[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]
[8,6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6,8]
[8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8]
[8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]
[8,6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6,8]
[8,5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5,8]
[8,6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6,8]
[8,6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6,8]
[8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]
[8,4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4,8]
[8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]
[8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]
[8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]
[8,6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6,8]
[8,5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5,8]
[8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8]
[8,5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5,8]
[8,4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4,8]
[8,6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6,8]
[8,5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5,8]
[8,6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6,8]
[8,5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5,8]
[8,6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6,8]
[8,6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6,8]
[8,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,8]
[8,6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6,8]
[8,6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6,8]
[8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]
[8,4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4,8]
[8,5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5,8]
[8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]
[8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]
[8,5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5,8]
[8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]
[8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]
[8,5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5,8]
[8,4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4,8]
[8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]
[8,4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4,8]
[8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]
[8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]
[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]
[8,5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5,8]
[8,6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6,8]
[8,5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5,8]
[8,4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4,8]
[8,6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6,8]
[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]
[8,6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6,8]
[8,6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6,8]
[8,5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5,8]
[8,4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4,8]
[8,5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5,8]
[8,4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4,8]
[8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]
[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]
[8,5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5,8]
[8,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,8]
[8,5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5,8]
[8,4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4,8]
[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]
[8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]
[8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]
[8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]
[8,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,8]
[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]
[8,5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5,8]
[8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]
[8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]
[8,6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6,8]
[8,5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5,8]
[8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]
[8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]
[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]
[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]
[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]
[8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]
[8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8]
[8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]
[8,6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6,8]
[8,6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6,8]
[8,6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6,8]
[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]
[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]
[8,6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6,8]
[8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]
[8,6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6,8]
[8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]
[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]
[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]
[8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]
[8,5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5,8]
[8,4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4,8]
[8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]
[8,5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5,8]
[8,4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4,8]
[8,5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5,8]
[8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]
[8,4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4,8]
[8,3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3,8]
[8,4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4,8]
[8,3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3,8]
[8,2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2,8]
[8,5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5,8]
[8,4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4,8]
[8,5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5,8]
[8,4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4,8]
[8,3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3,8]
[8,5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5,8]
[8,4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4,8]
[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]
[8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]
[8,5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5,8]
[8,5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5,8]
[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]
[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]
[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]
[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]
[8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]
[8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]
[8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]
[8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]
[8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]
[8,3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3,8]
[8,4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4,8]
[8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]
[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]
[8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]
[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]
[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]
[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]
[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]
[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]
[7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]
[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]
[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]
[7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]
[6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]
[7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]
[7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]
[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]
[5,6,4,7,3,2,1,8]=>[8,1,2,3,7,4,6,5]
[6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]
[5,4,6,7,3,2,1,8]=>[8,1,2,3,7,6,4,5]
[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]
[7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]
[6,7,5,3,4,2,1,8]=>[8,1,2,4,3,5,7,6]
[7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]
[6,5,7,3,4,2,1,8]=>[8,1,2,4,3,7,5,6]
[5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]
[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]
[6,7,4,3,5,2,1,8]=>[8,1,2,5,3,4,7,6]
[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]
[6,7,3,4,5,2,1,8]=>[8,1,2,5,4,3,7,6]
[7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]
[7,4,5,3,6,2,1,8]=>[8,1,2,6,3,5,4,7]
[7,5,3,4,6,2,1,8]=>[8,1,2,6,4,3,5,7]
[7,4,3,5,6,2,1,8]=>[8,1,2,6,5,3,4,7]
[7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]
[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]
[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]
[6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]
[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]
[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]
[6,5,3,4,7,2,1,8]=>[8,1,2,7,4,3,5,6]
[5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]
[6,4,3,5,7,2,1,8]=>[8,1,2,7,5,3,4,6]
[6,3,4,5,7,2,1,8]=>[8,1,2,7,5,4,3,6]
[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]
[4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]
[5,3,4,6,7,2,1,8]=>[8,1,2,7,6,4,3,5]
[4,3,5,6,7,2,1,8]=>[8,1,2,7,6,5,3,4]
[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]
[7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]
[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]
[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]
[6,5,7,4,2,3,1,8]=>[8,1,3,2,4,7,5,6]
[5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]
[7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]
[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]
[7,5,4,6,2,3,1,8]=>[8,1,3,2,6,4,5,7]
[7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]
[6,5,4,7,2,3,1,8]=>[8,1,3,2,7,4,5,6]
[5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]
[6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6]
[5,4,6,7,2,3,1,8]=>[8,1,3,2,7,6,4,5]
[4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]
[7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]
[6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]
[7,5,6,3,2,4,1,8]=>[8,1,4,2,3,6,5,7]
[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]
[5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]
[7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]
[6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]
[7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]
[6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]
[5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]
[7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]
[6,7,4,3,2,5,1,8]=>[8,1,5,2,3,4,7,6]
[7,6,3,4,2,5,1,8]=>[8,1,5,2,4,3,6,7]
[6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]
[7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]
[6,7,4,2,3,5,1,8]=>[8,1,5,3,2,4,7,6]
[7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]
[6,7,3,2,4,5,1,8]=>[8,1,5,4,2,3,7,6]
[7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]
[6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]
[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]
[7,4,5,3,2,6,1,8]=>[8,1,6,2,3,5,4,7]
[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]
[7,4,3,5,2,6,1,8]=>[8,1,6,2,5,3,4,7]
[7,3,4,5,2,6,1,8]=>[8,1,6,2,5,4,3,7]
[7,5,4,2,3,6,1,8]=>[8,1,6,3,2,4,5,7]
[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]
[7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]
[7,5,2,3,4,6,1,8]=>[8,1,6,4,3,2,5,7]
[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]
[7,3,4,2,5,6,1,8]=>[8,1,6,5,2,4,3,7]
[7,4,2,3,5,6,1,8]=>[8,1,6,5,3,2,4,7]
[7,3,2,4,5,6,1,8]=>[8,1,6,5,4,2,3,7]
[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]
[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]
[5,6,4,3,2,7,1,8]=>[8,1,7,2,3,4,6,5]
[6,4,5,3,2,7,1,8]=>[8,1,7,2,3,5,4,6]
[5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]
[4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]
[6,5,3,4,2,7,1,8]=>[8,1,7,2,4,3,5,6]
[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]
[6,4,3,5,2,7,1,8]=>[8,1,7,2,5,3,4,6]
[6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]
[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]
[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]
[5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]
[4,3,5,6,2,7,1,8]=>[8,1,7,2,6,5,3,4]
[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]
[6,5,4,2,3,7,1,8]=>[8,1,7,3,2,4,5,6]
[5,6,4,2,3,7,1,8]=>[8,1,7,3,2,4,6,5]
[6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6]
[5,4,6,2,3,7,1,8]=>[8,1,7,3,2,6,4,5]
[4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]
[6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]
[5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]
[6,5,2,3,4,7,1,8]=>[8,1,7,4,3,2,5,6]
[5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]
[6,4,3,2,5,7,1,8]=>[8,1,7,5,2,3,4,6]
[6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]
[6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]
[6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]
[6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]
[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]
[4,5,3,2,6,7,1,8]=>[8,1,7,6,2,3,5,4]
[5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]
[4,3,5,2,6,7,1,8]=>[8,1,7,6,2,5,3,4]
[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]
[5,4,2,3,6,7,1,8]=>[8,1,7,6,3,2,4,5]
[4,5,2,3,6,7,1,8]=>[8,1,7,6,3,2,5,4]
[5,3,2,4,6,7,1,8]=>[8,1,7,6,4,2,3,5]
[5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]
[4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]
[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]
[4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]
[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]
[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]
[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]
[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]
[7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]
[6,5,7,4,3,1,2,8]=>[8,2,1,3,4,7,5,6]
[5,6,7,4,3,1,2,8]=>[8,2,1,3,4,7,6,5]
[7,6,4,5,3,1,2,8]=>[8,2,1,3,5,4,6,7]
[7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]
[7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]
[6,5,4,7,3,1,2,8]=>[8,2,1,3,7,4,5,6]
[5,6,4,7,3,1,2,8]=>[8,2,1,3,7,4,6,5]
[6,4,5,7,3,1,2,8]=>[8,2,1,3,7,5,4,6]
[5,4,6,7,3,1,2,8]=>[8,2,1,3,7,6,4,5]
[4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]
[7,6,5,3,4,1,2,8]=>[8,2,1,4,3,5,6,7]
[6,7,5,3,4,1,2,8]=>[8,2,1,4,3,5,7,6]
[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]
[6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]
[5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5]
[7,6,4,3,5,1,2,8]=>[8,2,1,5,3,4,6,7]
[6,7,4,3,5,1,2,8]=>[8,2,1,5,3,4,7,6]
[7,6,3,4,5,1,2,8]=>[8,2,1,5,4,3,6,7]
[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]
[7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]
[7,4,5,3,6,1,2,8]=>[8,2,1,6,3,5,4,7]
[7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]
[7,4,3,5,6,1,2,8]=>[8,2,1,6,5,3,4,7]
[7,3,4,5,6,1,2,8]=>[8,2,1,6,5,4,3,7]
[6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]
[5,6,4,3,7,1,2,8]=>[8,2,1,7,3,4,6,5]
[6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]
[5,4,6,3,7,1,2,8]=>[8,2,1,7,3,6,4,5]
[4,5,6,3,7,1,2,8]=>[8,2,1,7,3,6,5,4]
[6,5,3,4,7,1,2,8]=>[8,2,1,7,4,3,5,6]
[5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]
[6,4,3,5,7,1,2,8]=>[8,2,1,7,5,3,4,6]
[6,3,4,5,7,1,2,8]=>[8,2,1,7,5,4,3,6]
[5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]
[4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]
[5,3,4,6,7,1,2,8]=>[8,2,1,7,6,4,3,5]
[4,3,5,6,7,1,2,8]=>[8,2,1,7,6,5,3,4]
[3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]
[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]
[6,7,5,4,2,1,3,8]=>[8,3,1,2,4,5,7,6]
[7,5,6,4,2,1,3,8]=>[8,3,1,2,4,6,5,7]
[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]
[5,6,7,4,2,1,3,8]=>[8,3,1,2,4,7,6,5]
[7,6,4,5,2,1,3,8]=>[8,3,1,2,5,4,6,7]
[6,7,4,5,2,1,3,8]=>[8,3,1,2,5,4,7,6]
[7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]
[7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]
[6,5,4,7,2,1,3,8]=>[8,3,1,2,7,4,5,6]
[5,6,4,7,2,1,3,8]=>[8,3,1,2,7,4,6,5]
[6,4,5,7,2,1,3,8]=>[8,3,1,2,7,5,4,6]
[5,4,6,7,2,1,3,8]=>[8,3,1,2,7,6,4,5]
[4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]
[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]
[6,7,5,4,1,2,3,8]=>[8,3,2,1,4,5,7,6]
[7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]
[6,5,7,4,1,2,3,8]=>[8,3,2,1,4,7,5,6]
[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]
[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]
[6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]
[7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]
[7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]
[6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]
[5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]
[6,4,5,7,1,2,3,8]=>[8,3,2,1,7,5,4,6]
[5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]
[4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]
[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]
[6,7,5,3,2,1,4,8]=>[8,4,1,2,3,5,7,6]
[7,5,6,3,2,1,4,8]=>[8,4,1,2,3,6,5,7]
[6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]
[5,6,7,3,2,1,4,8]=>[8,4,1,2,3,7,6,5]
[7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]
[6,7,5,2,3,1,4,8]=>[8,4,1,3,2,5,7,6]
[7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]
[6,5,7,2,3,1,4,8]=>[8,4,1,3,2,7,5,6]
[5,6,7,2,3,1,4,8]=>[8,4,1,3,2,7,6,5]
[7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]
[6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]
[7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]
[6,5,7,3,1,2,4,8]=>[8,4,2,1,3,7,5,6]
[5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]
[7,6,5,2,1,3,4,8]=>[8,4,3,1,2,5,6,7]
[6,7,5,2,1,3,4,8]=>[8,4,3,1,2,5,7,6]
[7,5,6,2,1,3,4,8]=>[8,4,3,1,2,6,5,7]
[6,5,7,2,1,3,4,8]=>[8,4,3,1,2,7,5,6]
[5,6,7,2,1,3,4,8]=>[8,4,3,1,2,7,6,5]
[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]
[6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]
[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]
[6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]
[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]
[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]
[6,7,4,3,2,1,5,8]=>[8,5,1,2,3,4,7,6]
[7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]
[6,7,3,4,2,1,5,8]=>[8,5,1,2,4,3,7,6]
[7,6,4,2,3,1,5,8]=>[8,5,1,3,2,4,6,7]
[6,7,4,2,3,1,5,8]=>[8,5,1,3,2,4,7,6]
[7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]
[6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]
[7,6,2,3,4,1,5,8]=>[8,5,1,4,3,2,6,7]
[6,7,2,3,4,1,5,8]=>[8,5,1,4,3,2,7,6]
[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]
[6,7,4,3,1,2,5,8]=>[8,5,2,1,3,4,7,6]
[7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]
[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]
[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]
[6,7,4,2,1,3,5,8]=>[8,5,3,1,2,4,7,6]
[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]
[6,7,4,1,2,3,5,8]=>[8,5,3,2,1,4,7,6]
[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]
[6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]
[7,6,2,3,1,4,5,8]=>[8,5,4,1,3,2,6,7]
[6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]
[7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]
[6,7,3,1,2,4,5,8]=>[8,5,4,2,1,3,7,6]
[7,6,2,1,3,4,5,8]=>[8,5,4,3,1,2,6,7]
[6,7,2,1,3,4,5,8]=>[8,5,4,3,1,2,7,6]
[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]
[6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]
[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]
[7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]
[7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]
[7,4,3,5,2,1,6,8]=>[8,6,1,2,5,3,4,7]
[7,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,7]
[7,5,4,2,3,1,6,8]=>[8,6,1,3,2,4,5,7]
[7,4,5,2,3,1,6,8]=>[8,6,1,3,2,5,4,7]
[7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]
[7,5,2,3,4,1,6,8]=>[8,6,1,4,3,2,5,7]
[7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]
[7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]
[7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]
[7,3,2,4,5,1,6,8]=>[8,6,1,5,4,2,3,7]
[7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]
[7,5,4,3,1,2,6,8]=>[8,6,2,1,3,4,5,7]
[7,4,5,3,1,2,6,8]=>[8,6,2,1,3,5,4,7]
[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]
[7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]
[7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]
[7,5,4,2,1,3,6,8]=>[8,6,3,1,2,4,5,7]
[7,4,5,2,1,3,6,8]=>[8,6,3,1,2,5,4,7]
[7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]
[7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]
[7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]
[7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]
[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]
[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]
[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]
[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]
[7,3,4,2,1,5,6,8]=>[8,6,5,1,2,4,3,7]
[7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7]
[7,3,2,4,1,5,6,8]=>[8,6,5,1,4,2,3,7]
[7,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,7]
[7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]
[7,3,4,1,2,5,6,8]=>[8,6,5,2,1,4,3,7]
[7,4,2,1,3,5,6,8]=>[8,6,5,3,1,2,4,7]
[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]
[7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]
[7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]
[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]
[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]
[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]
[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]
[5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]
[6,4,5,3,2,1,7,8]=>[8,7,1,2,3,5,4,6]
[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]
[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]
[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]
[5,6,3,4,2,1,7,8]=>[8,7,1,2,4,3,6,5]
[6,4,3,5,2,1,7,8]=>[8,7,1,2,5,3,4,6]
[6,3,4,5,2,1,7,8]=>[8,7,1,2,5,4,3,6]
[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]
[4,5,3,6,2,1,7,8]=>[8,7,1,2,6,3,5,4]
[5,3,4,6,2,1,7,8]=>[8,7,1,2,6,4,3,5]
[4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]
[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]
[6,5,4,2,3,1,7,8]=>[8,7,1,3,2,4,5,6]
[5,6,4,2,3,1,7,8]=>[8,7,1,3,2,4,6,5]
[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]
[5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]
[4,5,6,2,3,1,7,8]=>[8,7,1,3,2,6,5,4]
[6,5,3,2,4,1,7,8]=>[8,7,1,4,2,3,5,6]
[5,6,3,2,4,1,7,8]=>[8,7,1,4,2,3,6,5]
[6,5,2,3,4,1,7,8]=>[8,7,1,4,3,2,5,6]
[5,6,2,3,4,1,7,8]=>[8,7,1,4,3,2,6,5]
[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]
[6,3,4,2,5,1,7,8]=>[8,7,1,5,2,4,3,6]
[6,4,2,3,5,1,7,8]=>[8,7,1,5,3,2,4,6]
[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]
[6,2,3,4,5,1,7,8]=>[8,7,1,5,4,3,2,6]
[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]
[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]
[5,3,4,2,6,1,7,8]=>[8,7,1,6,2,4,3,5]
[4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]
[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]
[5,4,2,3,6,1,7,8]=>[8,7,1,6,3,2,4,5]
[4,5,2,3,6,1,7,8]=>[8,7,1,6,3,2,5,4]
[5,3,2,4,6,1,7,8]=>[8,7,1,6,4,2,3,5]
[5,2,3,4,6,1,7,8]=>[8,7,1,6,4,3,2,5]
[4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]
[3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]
[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]
[3,2,4,5,6,1,7,8]=>[8,7,1,6,5,4,2,3]
[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]
[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]
[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]
[6,4,5,3,1,2,7,8]=>[8,7,2,1,3,5,4,6]
[5,4,6,3,1,2,7,8]=>[8,7,2,1,3,6,4,5]
[4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]
[6,5,3,4,1,2,7,8]=>[8,7,2,1,4,3,5,6]
[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]
[6,4,3,5,1,2,7,8]=>[8,7,2,1,5,3,4,6]
[6,3,4,5,1,2,7,8]=>[8,7,2,1,5,4,3,6]
[5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]
[4,5,3,6,1,2,7,8]=>[8,7,2,1,6,3,5,4]
[5,3,4,6,1,2,7,8]=>[8,7,2,1,6,4,3,5]
[4,3,5,6,1,2,7,8]=>[8,7,2,1,6,5,3,4]
[3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]
[6,5,4,2,1,3,7,8]=>[8,7,3,1,2,4,5,6]
[5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]
[6,4,5,2,1,3,7,8]=>[8,7,3,1,2,5,4,6]
[5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]
[4,5,6,2,1,3,7,8]=>[8,7,3,1,2,6,5,4]
[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]
[5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]
[6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]
[5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]
[4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]
[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]
[5,6,3,2,1,4,7,8]=>[8,7,4,1,2,3,6,5]
[6,5,2,3,1,4,7,8]=>[8,7,4,1,3,2,5,6]
[5,6,2,3,1,4,7,8]=>[8,7,4,1,3,2,6,5]
[6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]
[5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]
[6,5,2,1,3,4,7,8]=>[8,7,4,3,1,2,5,6]
[5,6,2,1,3,4,7,8]=>[8,7,4,3,1,2,6,5]
[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]
[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]
[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]
[6,3,4,2,1,5,7,8]=>[8,7,5,1,2,4,3,6]
[6,4,2,3,1,5,7,8]=>[8,7,5,1,3,2,4,6]
[6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]
[6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]
[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]
[6,3,4,1,2,5,7,8]=>[8,7,5,2,1,4,3,6]
[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]
[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]
[6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]
[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]
[6,3,1,2,4,5,7,8]=>[8,7,5,4,2,1,3,6]
[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]
[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]
[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]
[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]
[5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]
[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]
[3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]
[5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]
[4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]
[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]
[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]
[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]
[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]
[4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]
[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]
[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]
[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]
[4,5,3,1,2,6,7,8]=>[8,7,6,2,1,3,5,4]
[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]
[4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]
[3,4,5,1,2,6,7,8]=>[8,7,6,2,1,5,4,3]
[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]
[4,5,2,1,3,6,7,8]=>[8,7,6,3,1,2,5,4]
[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]
[4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]
[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]
[5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]
[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]
[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]
[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]
[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]
[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]
[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]
[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]
[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]
[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]
[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]
[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]
[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]
[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]
[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]
[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]
[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]
[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]
[5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]
[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]
[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]
[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]
[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]
[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]
[4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]
[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]
[5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]
[5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]
[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]
[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]
[6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]
[5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]
[4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]
[5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]
[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]
[5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]
[4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]
[4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]
[5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]
[4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]
[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]
[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]
[3,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,3]
[3,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,3]
[3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]
[3,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,3]
[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]
[3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]
[3,6,5,8,7,4,2,1]=>[1,2,4,7,8,5,6,3]
[3,5,6,8,7,4,2,1]=>[1,2,4,7,8,6,5,3]
[3,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,3]
[3,6,7,5,8,4,2,1]=>[1,2,4,8,5,7,6,3]
[3,5,7,6,8,4,2,1]=>[1,2,4,8,6,7,5,3]
[3,6,5,7,8,4,2,1]=>[1,2,4,8,7,5,6,3]
[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]
[4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4]
[4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]
[4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]
[4,3,7,6,8,5,2,1]=>[1,2,5,8,6,7,3,4]
[4,3,6,7,8,5,2,1]=>[1,2,5,8,7,6,3,4]
[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]
[3,4,7,8,6,5,2,1]=>[1,2,5,6,8,7,4,3]
[3,4,6,8,7,5,2,1]=>[1,2,5,7,8,6,4,3]
[3,4,7,6,8,5,2,1]=>[1,2,5,8,6,7,4,3]
[3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3]
[5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]
[5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]
[4,5,3,8,7,6,2,1]=>[1,2,6,7,8,3,5,4]
[4,5,3,7,8,6,2,1]=>[1,2,6,8,7,3,5,4]
[3,5,4,8,7,6,2,1]=>[1,2,6,7,8,4,5,3]
[3,5,4,7,8,6,2,1]=>[1,2,6,8,7,4,5,3]
[4,3,5,8,7,6,2,1]=>[1,2,6,7,8,5,3,4]
[4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]
[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]
[3,4,5,7,8,6,2,1]=>[1,2,6,8,7,5,4,3]
[6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]
[5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]
[4,6,5,3,8,7,2,1]=>[1,2,7,8,3,5,6,4]
[5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]
[4,5,6,3,8,7,2,1]=>[1,2,7,8,3,6,5,4]
[3,6,5,4,8,7,2,1]=>[1,2,7,8,4,5,6,3]
[3,5,6,4,8,7,2,1]=>[1,2,7,8,4,6,5,3]
[4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]
[3,4,6,5,8,7,2,1]=>[1,2,7,8,5,6,4,3]
[5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]
[4,5,3,6,8,7,2,1]=>[1,2,7,8,6,3,5,4]
[3,5,4,6,8,7,2,1]=>[1,2,7,8,6,4,5,3]
[4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]
[3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3]
[5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]
[4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]
[4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]
[5,4,7,6,3,8,2,1]=>[1,2,8,3,6,7,4,5]
[4,5,7,6,3,8,2,1]=>[1,2,8,3,6,7,5,4]
[4,6,5,7,3,8,2,1]=>[1,2,8,3,7,5,6,4]
[3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]
[3,6,7,5,4,8,2,1]=>[1,2,8,4,5,7,6,3]
[3,5,7,6,4,8,2,1]=>[1,2,8,4,6,7,5,3]
[3,6,5,7,4,8,2,1]=>[1,2,8,4,7,5,6,3]
[3,5,6,7,4,8,2,1]=>[1,2,8,4,7,6,5,3]
[4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]
[4,3,6,7,5,8,2,1]=>[1,2,8,5,7,6,3,4]
[3,4,7,6,5,8,2,1]=>[1,2,8,5,6,7,4,3]
[3,4,6,7,5,8,2,1]=>[1,2,8,5,7,6,4,3]
[5,4,3,7,6,8,2,1]=>[1,2,8,6,7,3,4,5]
[4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]
[3,5,4,7,6,8,2,1]=>[1,2,8,6,7,4,5,3]
[4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]
[3,4,5,7,6,8,2,1]=>[1,2,8,6,7,5,4,3]
[4,6,5,3,7,8,2,1]=>[1,2,8,7,3,5,6,4]
[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]
[3,5,6,4,7,8,2,1]=>[1,2,8,7,4,6,5,3]
[4,3,6,5,7,8,2,1]=>[1,2,8,7,5,6,3,4]
[3,4,6,5,7,8,2,1]=>[1,2,8,7,5,6,4,3]
[3,5,4,6,7,8,2,1]=>[1,2,8,7,6,4,5,3]
[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]
[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]
[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]
[2,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,2]
[2,6,7,8,5,4,3,1]=>[1,3,4,5,8,7,6,2]
[2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]
[2,5,7,8,6,4,3,1]=>[1,3,4,6,8,7,5,2]
[2,6,5,8,7,4,3,1]=>[1,3,4,7,8,5,6,2]
[2,5,6,8,7,4,3,1]=>[1,3,4,7,8,6,5,2]
[2,7,6,5,8,4,3,1]=>[1,3,4,8,5,6,7,2]
[2,6,7,5,8,4,3,1]=>[1,3,4,8,5,7,6,2]
[2,5,7,6,8,4,3,1]=>[1,3,4,8,6,7,5,2]
[2,6,5,7,8,4,3,1]=>[1,3,4,8,7,5,6,2]
[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]
[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]
[2,4,7,8,6,5,3,1]=>[1,3,5,6,8,7,4,2]
[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]
[2,4,7,6,8,5,3,1]=>[1,3,5,8,6,7,4,2]
[2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]
[2,5,4,8,7,6,3,1]=>[1,3,6,7,8,4,5,2]
[2,5,4,7,8,6,3,1]=>[1,3,6,8,7,4,5,2]
[2,4,5,8,7,6,3,1]=>[1,3,6,7,8,5,4,2]
[2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]
[2,6,5,4,8,7,3,1]=>[1,3,7,8,4,5,6,2]
[2,5,6,4,8,7,3,1]=>[1,3,7,8,4,6,5,2]
[2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]
[2,5,4,6,8,7,3,1]=>[1,3,7,8,6,4,5,2]
[2,4,5,6,8,7,3,1]=>[1,3,7,8,6,5,4,2]
[2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]
[2,6,7,5,4,8,3,1]=>[1,3,8,4,5,7,6,2]
[2,5,7,6,4,8,3,1]=>[1,3,8,4,6,7,5,2]
[2,6,5,7,4,8,3,1]=>[1,3,8,4,7,5,6,2]
[2,5,6,7,4,8,3,1]=>[1,3,8,4,7,6,5,2]
[2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]
[2,4,6,7,5,8,3,1]=>[1,3,8,5,7,6,4,2]
[2,5,4,7,6,8,3,1]=>[1,3,8,6,7,4,5,2]
[2,6,5,4,7,8,3,1]=>[1,3,8,7,4,5,6,2]
[2,5,6,4,7,8,3,1]=>[1,3,8,7,4,6,5,2]
[2,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,2]
[2,5,4,6,7,8,3,1]=>[1,3,8,7,6,4,5,2]
[2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]
[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]
[3,2,7,8,6,5,4,1]=>[1,4,5,6,8,7,2,3]
[3,2,6,8,7,5,4,1]=>[1,4,5,7,8,6,2,3]
[3,2,7,6,8,5,4,1]=>[1,4,5,8,6,7,2,3]
[3,2,6,7,8,5,4,1]=>[1,4,5,8,7,6,2,3]
[3,2,5,8,7,6,4,1]=>[1,4,6,7,8,5,2,3]
[3,2,5,7,8,6,4,1]=>[1,4,6,8,7,5,2,3]
[3,2,6,5,8,7,4,1]=>[1,4,7,8,5,6,2,3]
[3,2,5,6,8,7,4,1]=>[1,4,7,8,6,5,2,3]
[3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]
[3,2,6,7,5,8,4,1]=>[1,4,8,5,7,6,2,3]
[3,2,5,7,6,8,4,1]=>[1,4,8,6,7,5,2,3]
[3,2,6,5,7,8,4,1]=>[1,4,8,7,5,6,2,3]
[3,2,5,6,7,8,4,1]=>[1,4,8,7,6,5,2,3]
[2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2]
[2,3,7,8,6,5,4,1]=>[1,4,5,6,8,7,3,2]
[2,3,6,8,7,5,4,1]=>[1,4,5,7,8,6,3,2]
[2,3,7,6,8,5,4,1]=>[1,4,5,8,6,7,3,2]
[2,3,6,7,8,5,4,1]=>[1,4,5,8,7,6,3,2]
[2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]
[2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]
[2,3,6,5,8,7,4,1]=>[1,4,7,8,5,6,3,2]
[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]
[2,3,7,6,5,8,4,1]=>[1,4,8,5,6,7,3,2]
[2,3,6,7,5,8,4,1]=>[1,4,8,5,7,6,3,2]
[2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]
[2,3,6,5,7,8,4,1]=>[1,4,8,7,5,6,3,2]
[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]
[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]
[4,3,2,7,8,6,5,1]=>[1,5,6,8,7,2,3,4]
[4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]
[4,3,2,7,6,8,5,1]=>[1,5,8,6,7,2,3,4]
[4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]
[3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]
[3,4,2,7,8,6,5,1]=>[1,5,6,8,7,2,4,3]
[3,4,2,6,8,7,5,1]=>[1,5,7,8,6,2,4,3]
[3,4,2,7,6,8,5,1]=>[1,5,8,6,7,2,4,3]
[3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]
[2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]
[2,4,3,7,8,6,5,1]=>[1,5,6,8,7,3,4,2]
[2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]
[2,4,3,7,6,8,5,1]=>[1,5,8,6,7,3,4,2]
[2,4,3,6,7,8,5,1]=>[1,5,8,7,6,3,4,2]
[3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]
[3,2,4,7,8,6,5,1]=>[1,5,6,8,7,4,2,3]
[3,2,4,6,8,7,5,1]=>[1,5,7,8,6,4,2,3]
[3,2,4,7,6,8,5,1]=>[1,5,8,6,7,4,2,3]
[3,2,4,6,7,8,5,1]=>[1,5,8,7,6,4,2,3]
[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]
[2,3,4,7,8,6,5,1]=>[1,5,6,8,7,4,3,2]
[2,3,4,6,8,7,5,1]=>[1,5,7,8,6,4,3,2]
[2,3,4,7,6,8,5,1]=>[1,5,8,6,7,4,3,2]
[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]
[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]
[5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]
[4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]
[4,5,3,2,7,8,6,1]=>[1,6,8,7,2,3,5,4]
[3,5,4,2,8,7,6,1]=>[1,6,7,8,2,4,5,3]
[3,5,4,2,7,8,6,1]=>[1,6,8,7,2,4,5,3]
[4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]
[4,3,5,2,7,8,6,1]=>[1,6,8,7,2,5,3,4]
[3,4,5,2,8,7,6,1]=>[1,6,7,8,2,5,4,3]
[3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]
[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]
[2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]
[2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]
[2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]
[3,2,5,4,8,7,6,1]=>[1,6,7,8,4,5,2,3]
[3,2,5,4,7,8,6,1]=>[1,6,8,7,4,5,2,3]
[2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]
[2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]
[4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]
[4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]
[3,4,2,5,8,7,6,1]=>[1,6,7,8,5,2,4,3]
[3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]
[2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]
[2,4,3,5,7,8,6,1]=>[1,6,8,7,5,3,4,2]
[3,2,4,5,8,7,6,1]=>[1,6,7,8,5,4,2,3]
[3,2,4,5,7,8,6,1]=>[1,6,8,7,5,4,2,3]
[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]
[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]
[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]
[5,6,4,3,2,8,7,1]=>[1,7,8,2,3,4,6,5]
[4,6,5,3,2,8,7,1]=>[1,7,8,2,3,5,6,4]
[5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]
[4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]
[3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]
[3,5,6,4,2,8,7,1]=>[1,7,8,2,4,6,5,3]
[4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]
[3,4,6,5,2,8,7,1]=>[1,7,8,2,5,6,4,3]
[5,4,3,6,2,8,7,1]=>[1,7,8,2,6,3,4,5]
[4,5,3,6,2,8,7,1]=>[1,7,8,2,6,3,5,4]
[3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]
[4,3,5,6,2,8,7,1]=>[1,7,8,2,6,5,3,4]
[3,4,5,6,2,8,7,1]=>[1,7,8,2,6,5,4,3]
[2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]
[2,5,6,4,3,8,7,1]=>[1,7,8,3,4,6,5,2]
[2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]
[2,5,4,6,3,8,7,1]=>[1,7,8,3,6,4,5,2]
[2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]
[3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]
[3,2,5,6,4,8,7,1]=>[1,7,8,4,6,5,2,3]
[2,3,6,5,4,8,7,1]=>[1,7,8,4,5,6,3,2]
[2,3,5,6,4,8,7,1]=>[1,7,8,4,6,5,3,2]
[4,3,2,6,5,8,7,1]=>[1,7,8,5,6,2,3,4]
[3,4,2,6,5,8,7,1]=>[1,7,8,5,6,2,4,3]
[2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]
[3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]
[2,3,4,6,5,8,7,1]=>[1,7,8,5,6,4,3,2]
[5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]
[4,5,3,2,6,8,7,1]=>[1,7,8,6,2,3,5,4]
[3,5,4,2,6,8,7,1]=>[1,7,8,6,2,4,5,3]
[4,3,5,2,6,8,7,1]=>[1,7,8,6,2,5,3,4]
[3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]
[2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]
[2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]
[3,2,5,4,6,8,7,1]=>[1,7,8,6,4,5,2,3]
[2,3,5,4,6,8,7,1]=>[1,7,8,6,4,5,3,2]
[4,3,2,5,6,8,7,1]=>[1,7,8,6,5,2,3,4]
[3,4,2,5,6,8,7,1]=>[1,7,8,6,5,2,4,3]
[2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]
[3,2,4,5,6,8,7,1]=>[1,7,8,6,5,4,2,3]
[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]
[5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]
[4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]
[4,6,7,5,3,2,8,1]=>[1,8,2,3,5,7,6,4]
[5,4,7,6,3,2,8,1]=>[1,8,2,3,6,7,4,5]
[4,5,7,6,3,2,8,1]=>[1,8,2,3,6,7,5,4]
[4,6,5,7,3,2,8,1]=>[1,8,2,3,7,5,6,4]
[3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]
[3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]
[3,5,7,6,4,2,8,1]=>[1,8,2,4,6,7,5,3]
[3,6,5,7,4,2,8,1]=>[1,8,2,4,7,5,6,3]
[3,5,6,7,4,2,8,1]=>[1,8,2,4,7,6,5,3]
[4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]
[4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]
[3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]
[3,4,6,7,5,2,8,1]=>[1,8,2,5,7,6,4,3]
[5,4,3,7,6,2,8,1]=>[1,8,2,6,7,3,4,5]
[4,5,3,7,6,2,8,1]=>[1,8,2,6,7,3,5,4]
[3,5,4,7,6,2,8,1]=>[1,8,2,6,7,4,5,3]
[4,3,5,7,6,2,8,1]=>[1,8,2,6,7,5,3,4]
[3,4,5,7,6,2,8,1]=>[1,8,2,6,7,5,4,3]
[4,6,5,3,7,2,8,1]=>[1,8,2,7,3,5,6,4]
[3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]
[3,5,6,4,7,2,8,1]=>[1,8,2,7,4,6,5,3]
[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]
[3,4,6,5,7,2,8,1]=>[1,8,2,7,5,6,4,3]
[3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]
[2,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,2]
[2,6,7,5,4,3,8,1]=>[1,8,3,4,5,7,6,2]
[2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]
[2,6,5,7,4,3,8,1]=>[1,8,3,4,7,5,6,2]
[2,5,6,7,4,3,8,1]=>[1,8,3,4,7,6,5,2]
[2,4,7,6,5,3,8,1]=>[1,8,3,5,6,7,4,2]
[2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]
[2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]
[2,4,5,7,6,3,8,1]=>[1,8,3,6,7,5,4,2]
[2,6,5,4,7,3,8,1]=>[1,8,3,7,4,5,6,2]
[2,5,6,4,7,3,8,1]=>[1,8,3,7,4,6,5,2]
[2,4,6,5,7,3,8,1]=>[1,8,3,7,5,6,4,2]
[2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]
[2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]
[3,2,7,6,5,4,8,1]=>[1,8,4,5,6,7,2,3]
[3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]
[3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]
[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]
[3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]
[2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]
[2,3,6,7,5,4,8,1]=>[1,8,4,5,7,6,3,2]
[2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]
[2,3,6,5,7,4,8,1]=>[1,8,4,7,5,6,3,2]
[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]
[4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]
[4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]
[3,4,2,7,6,5,8,1]=>[1,8,5,6,7,2,4,3]
[3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]
[2,4,3,7,6,5,8,1]=>[1,8,5,6,7,3,4,2]
[2,4,3,6,7,5,8,1]=>[1,8,5,7,6,3,4,2]
[3,2,4,7,6,5,8,1]=>[1,8,5,6,7,4,2,3]
[3,2,4,6,7,5,8,1]=>[1,8,5,7,6,4,2,3]
[2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]
[2,3,4,6,7,5,8,1]=>[1,8,5,7,6,4,3,2]
[5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]
[4,5,3,2,7,6,8,1]=>[1,8,6,7,2,3,5,4]
[3,5,4,2,7,6,8,1]=>[1,8,6,7,2,4,5,3]
[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]
[3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]
[2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]
[2,4,5,3,7,6,8,1]=>[1,8,6,7,3,5,4,2]
[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]
[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]
[4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]
[3,4,2,5,7,6,8,1]=>[1,8,6,7,5,2,4,3]
[2,4,3,5,7,6,8,1]=>[1,8,6,7,5,3,4,2]
[3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]
[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]
[4,6,5,3,2,7,8,1]=>[1,8,7,2,3,5,6,4]
[3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]
[3,5,6,4,2,7,8,1]=>[1,8,7,2,4,6,5,3]
[4,3,6,5,2,7,8,1]=>[1,8,7,2,5,6,3,4]
[3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3]
[3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]
[2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]
[2,5,6,4,3,7,8,1]=>[1,8,7,3,4,6,5,2]
[2,4,6,5,3,7,8,1]=>[1,8,7,3,5,6,4,2]
[2,5,4,6,3,7,8,1]=>[1,8,7,3,6,4,5,2]
[2,4,5,6,3,7,8,1]=>[1,8,7,3,6,5,4,2]
[3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]
[3,2,5,6,4,7,8,1]=>[1,8,7,4,6,5,2,3]
[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]
[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]
[4,3,2,6,5,7,8,1]=>[1,8,7,5,6,2,3,4]
[3,4,2,6,5,7,8,1]=>[1,8,7,5,6,2,4,3]
[2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]
[3,2,4,6,5,7,8,1]=>[1,8,7,5,6,4,2,3]
[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]
[3,5,4,2,6,7,8,1]=>[1,8,7,6,2,4,5,3]
[2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]
[2,4,5,3,6,7,8,1]=>[1,8,7,6,3,5,4,2]
[3,2,5,4,6,7,8,1]=>[1,8,7,6,4,5,2,3]
[2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2]
[2,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,2]
[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]
[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]
[1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]
[1,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,1]
[1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]
[1,5,8,7,6,4,3,2]=>[2,3,4,6,7,8,5,1]
[1,5,7,8,6,4,3,2]=>[2,3,4,6,8,7,5,1]
[1,6,5,8,7,4,3,2]=>[2,3,4,7,8,5,6,1]
[1,5,6,8,7,4,3,2]=>[2,3,4,7,8,6,5,1]
[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]
[1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1]
[1,5,7,6,8,4,3,2]=>[2,3,4,8,6,7,5,1]
[1,6,5,7,8,4,3,2]=>[2,3,4,8,7,5,6,1]
[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]
[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]
[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]
[1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]
[1,4,7,6,8,5,3,2]=>[2,3,5,8,6,7,4,1]
[1,4,6,7,8,5,3,2]=>[2,3,5,8,7,6,4,1]
[1,5,4,8,7,6,3,2]=>[2,3,6,7,8,4,5,1]
[1,5,4,7,8,6,3,2]=>[2,3,6,8,7,4,5,1]
[1,4,5,8,7,6,3,2]=>[2,3,6,7,8,5,4,1]
[1,4,5,7,8,6,3,2]=>[2,3,6,8,7,5,4,1]
[1,6,5,4,8,7,3,2]=>[2,3,7,8,4,5,6,1]
[1,5,6,4,8,7,3,2]=>[2,3,7,8,4,6,5,1]
[1,4,6,5,8,7,3,2]=>[2,3,7,8,5,6,4,1]
[1,5,4,6,8,7,3,2]=>[2,3,7,8,6,4,5,1]
[1,4,5,6,8,7,3,2]=>[2,3,7,8,6,5,4,1]
[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]
[1,6,7,5,4,8,3,2]=>[2,3,8,4,5,7,6,1]
[1,5,7,6,4,8,3,2]=>[2,3,8,4,6,7,5,1]
[1,6,5,7,4,8,3,2]=>[2,3,8,4,7,5,6,1]
[1,5,6,7,4,8,3,2]=>[2,3,8,4,7,6,5,1]
[1,4,7,6,5,8,3,2]=>[2,3,8,5,6,7,4,1]
[1,4,6,7,5,8,3,2]=>[2,3,8,5,7,6,4,1]
[1,5,4,7,6,8,3,2]=>[2,3,8,6,7,4,5,1]
[1,4,5,7,6,8,3,2]=>[2,3,8,6,7,5,4,1]
[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]
[1,5,6,4,7,8,3,2]=>[2,3,8,7,4,6,5,1]
[1,4,6,5,7,8,3,2]=>[2,3,8,7,5,6,4,1]
[1,5,4,6,7,8,3,2]=>[2,3,8,7,6,4,5,1]
[1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]
[1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1]
[1,3,7,8,6,5,4,2]=>[2,4,5,6,8,7,3,1]
[1,3,6,8,7,5,4,2]=>[2,4,5,7,8,6,3,1]
[1,3,7,6,8,5,4,2]=>[2,4,5,8,6,7,3,1]
[1,3,6,7,8,5,4,2]=>[2,4,5,8,7,6,3,1]
[1,3,5,8,7,6,4,2]=>[2,4,6,7,8,5,3,1]
[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]
[1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]
[1,3,5,6,8,7,4,2]=>[2,4,7,8,6,5,3,1]
[1,3,7,6,5,8,4,2]=>[2,4,8,5,6,7,3,1]
[1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]
[1,3,5,7,6,8,4,2]=>[2,4,8,6,7,5,3,1]
[1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]
[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]
[1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]
[1,4,3,7,8,6,5,2]=>[2,5,6,8,7,3,4,1]
[1,4,3,6,8,7,5,2]=>[2,5,7,8,6,3,4,1]
[1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]
[1,4,3,6,7,8,5,2]=>[2,5,8,7,6,3,4,1]
[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]
[1,3,4,7,8,6,5,2]=>[2,5,6,8,7,4,3,1]
[1,3,4,6,8,7,5,2]=>[2,5,7,8,6,4,3,1]
[1,3,4,7,6,8,5,2]=>[2,5,8,6,7,4,3,1]
[1,3,4,6,7,8,5,2]=>[2,5,8,7,6,4,3,1]
[1,5,4,3,8,7,6,2]=>[2,6,7,8,3,4,5,1]
[1,5,4,3,7,8,6,2]=>[2,6,8,7,3,4,5,1]
[1,4,5,3,8,7,6,2]=>[2,6,7,8,3,5,4,1]
[1,4,5,3,7,8,6,2]=>[2,6,8,7,3,5,4,1]
[1,3,5,4,8,7,6,2]=>[2,6,7,8,4,5,3,1]
[1,3,5,4,7,8,6,2]=>[2,6,8,7,4,5,3,1]
[1,4,3,5,8,7,6,2]=>[2,6,7,8,5,3,4,1]
[1,4,3,5,7,8,6,2]=>[2,6,8,7,5,3,4,1]
[1,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,1]
[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]
[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]
[1,5,6,4,3,8,7,2]=>[2,7,8,3,4,6,5,1]
[1,4,6,5,3,8,7,2]=>[2,7,8,3,5,6,4,1]
[1,5,4,6,3,8,7,2]=>[2,7,8,3,6,4,5,1]
[1,4,5,6,3,8,7,2]=>[2,7,8,3,6,5,4,1]
[1,3,6,5,4,8,7,2]=>[2,7,8,4,5,6,3,1]
[1,3,5,6,4,8,7,2]=>[2,7,8,4,6,5,3,1]
[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]
[1,3,4,6,5,8,7,2]=>[2,7,8,5,6,4,3,1]
[1,5,4,3,6,8,7,2]=>[2,7,8,6,3,4,5,1]
[1,4,5,3,6,8,7,2]=>[2,7,8,6,3,5,4,1]
[1,3,5,4,6,8,7,2]=>[2,7,8,6,4,5,3,1]
[1,4,3,5,6,8,7,2]=>[2,7,8,6,5,3,4,1]
[1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]
[1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1]
[1,6,7,5,4,3,8,2]=>[2,8,3,4,5,7,6,1]
[1,5,7,6,4,3,8,2]=>[2,8,3,4,6,7,5,1]
[1,6,5,7,4,3,8,2]=>[2,8,3,4,7,5,6,1]
[1,5,6,7,4,3,8,2]=>[2,8,3,4,7,6,5,1]
[1,4,7,6,5,3,8,2]=>[2,8,3,5,6,7,4,1]
[1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]
[1,5,4,7,6,3,8,2]=>[2,8,3,6,7,4,5,1]
[1,4,5,7,6,3,8,2]=>[2,8,3,6,7,5,4,1]
[1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]
[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]
[1,4,6,5,7,3,8,2]=>[2,8,3,7,5,6,4,1]
[1,5,4,6,7,3,8,2]=>[2,8,3,7,6,4,5,1]
[1,4,5,6,7,3,8,2]=>[2,8,3,7,6,5,4,1]
[1,3,7,6,5,4,8,2]=>[2,8,4,5,6,7,3,1]
[1,3,6,7,5,4,8,2]=>[2,8,4,5,7,6,3,1]
[1,3,5,7,6,4,8,2]=>[2,8,4,6,7,5,3,1]
[1,3,6,5,7,4,8,2]=>[2,8,4,7,5,6,3,1]
[1,3,5,6,7,4,8,2]=>[2,8,4,7,6,5,3,1]
[1,4,3,7,6,5,8,2]=>[2,8,5,6,7,3,4,1]
[1,4,3,6,7,5,8,2]=>[2,8,5,7,6,3,4,1]
[1,3,4,7,6,5,8,2]=>[2,8,5,6,7,4,3,1]
[1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]
[1,5,4,3,7,6,8,2]=>[2,8,6,7,3,4,5,1]
[1,4,5,3,7,6,8,2]=>[2,8,6,7,3,5,4,1]
[1,3,5,4,7,6,8,2]=>[2,8,6,7,4,5,3,1]
[1,4,3,5,7,6,8,2]=>[2,8,6,7,5,3,4,1]
[1,3,4,5,7,6,8,2]=>[2,8,6,7,5,4,3,1]
[1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]
[1,5,6,4,3,7,8,2]=>[2,8,7,3,4,6,5,1]
[1,4,6,5,3,7,8,2]=>[2,8,7,3,5,6,4,1]
[1,5,4,6,3,7,8,2]=>[2,8,7,3,6,4,5,1]
[1,4,5,6,3,7,8,2]=>[2,8,7,3,6,5,4,1]
[1,3,6,5,4,7,8,2]=>[2,8,7,4,5,6,3,1]
[1,3,5,6,4,7,8,2]=>[2,8,7,4,6,5,3,1]
[1,4,3,6,5,7,8,2]=>[2,8,7,5,6,3,4,1]
[1,3,4,6,5,7,8,2]=>[2,8,7,5,6,4,3,1]
[1,5,4,3,6,7,8,2]=>[2,8,7,6,3,4,5,1]
[1,4,5,3,6,7,8,2]=>[2,8,7,6,3,5,4,1]
[1,3,5,4,6,7,8,2]=>[2,8,7,6,4,5,3,1]
[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]
[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]
[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]
[2,1,7,8,6,5,4,3]=>[3,4,5,6,8,7,1,2]
[2,1,6,8,7,5,4,3]=>[3,4,5,7,8,6,1,2]
[2,1,7,6,8,5,4,3]=>[3,4,5,8,6,7,1,2]
[2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]
[2,1,5,8,7,6,4,3]=>[3,4,6,7,8,5,1,2]
[2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]
[2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]
[2,1,5,6,8,7,4,3]=>[3,4,7,8,6,5,1,2]
[2,1,7,6,5,8,4,3]=>[3,4,8,5,6,7,1,2]
[2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]
[2,1,5,7,6,8,4,3]=>[3,4,8,6,7,5,1,2]
[2,1,6,5,7,8,4,3]=>[3,4,8,7,5,6,1,2]
[2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]
[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]
[2,1,4,7,8,6,5,3]=>[3,5,6,8,7,4,1,2]
[2,1,4,6,8,7,5,3]=>[3,5,7,8,6,4,1,2]
[2,1,4,7,6,8,5,3]=>[3,5,8,6,7,4,1,2]
[2,1,4,6,7,8,5,3]=>[3,5,8,7,6,4,1,2]
[2,1,5,4,8,7,6,3]=>[3,6,7,8,4,5,1,2]
[2,1,5,4,7,8,6,3]=>[3,6,8,7,4,5,1,2]
[2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]
[2,1,4,5,7,8,6,3]=>[3,6,8,7,5,4,1,2]
[2,1,6,5,4,8,7,3]=>[3,7,8,4,5,6,1,2]
[2,1,5,6,4,8,7,3]=>[3,7,8,4,6,5,1,2]
[2,1,4,6,5,8,7,3]=>[3,7,8,5,6,4,1,2]
[2,1,5,4,6,8,7,3]=>[3,7,8,6,4,5,1,2]
[2,1,4,5,6,8,7,3]=>[3,7,8,6,5,4,1,2]
[2,1,7,6,5,4,8,3]=>[3,8,4,5,6,7,1,2]
[2,1,6,7,5,4,8,3]=>[3,8,4,5,7,6,1,2]
[2,1,5,7,6,4,8,3]=>[3,8,4,6,7,5,1,2]
[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]
[2,1,5,6,7,4,8,3]=>[3,8,4,7,6,5,1,2]
[2,1,4,7,6,5,8,3]=>[3,8,5,6,7,4,1,2]
[2,1,4,6,7,5,8,3]=>[3,8,5,7,6,4,1,2]
[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]
[2,1,4,5,7,6,8,3]=>[3,8,6,7,5,4,1,2]
[2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]
[2,1,5,6,4,7,8,3]=>[3,8,7,4,6,5,1,2]
[2,1,4,6,5,7,8,3]=>[3,8,7,5,6,4,1,2]
[2,1,5,4,6,7,8,3]=>[3,8,7,6,4,5,1,2]
[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]
[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]
[1,2,7,8,6,5,4,3]=>[3,4,5,6,8,7,2,1]
[1,2,6,8,7,5,4,3]=>[3,4,5,7,8,6,2,1]
[1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]
[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]
[1,2,5,8,7,6,4,3]=>[3,4,6,7,8,5,2,1]
[1,2,5,7,8,6,4,3]=>[3,4,6,8,7,5,2,1]
[1,2,6,5,8,7,4,3]=>[3,4,7,8,5,6,2,1]
[1,2,5,6,8,7,4,3]=>[3,4,7,8,6,5,2,1]
[1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]
[1,2,6,7,5,8,4,3]=>[3,4,8,5,7,6,2,1]
[1,2,5,7,6,8,4,3]=>[3,4,8,6,7,5,2,1]
[1,2,6,5,7,8,4,3]=>[3,4,8,7,5,6,2,1]
[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]
[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]
[1,2,4,7,8,6,5,3]=>[3,5,6,8,7,4,2,1]
[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]
[1,2,4,7,6,8,5,3]=>[3,5,8,6,7,4,2,1]
[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]
[1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]
[1,2,5,4,7,8,6,3]=>[3,6,8,7,4,5,2,1]
[1,2,4,5,8,7,6,3]=>[3,6,7,8,5,4,2,1]
[1,2,4,5,7,8,6,3]=>[3,6,8,7,5,4,2,1]
[1,2,6,5,4,8,7,3]=>[3,7,8,4,5,6,2,1]
[1,2,5,6,4,8,7,3]=>[3,7,8,4,6,5,2,1]
[1,2,4,6,5,8,7,3]=>[3,7,8,5,6,4,2,1]
[1,2,5,4,6,8,7,3]=>[3,7,8,6,4,5,2,1]
[1,2,4,5,6,8,7,3]=>[3,7,8,6,5,4,2,1]
[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]
[1,2,6,7,5,4,8,3]=>[3,8,4,5,7,6,2,1]
[1,2,5,7,6,4,8,3]=>[3,8,4,6,7,5,2,1]
[1,2,6,5,7,4,8,3]=>[3,8,4,7,5,6,2,1]
[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]
[1,2,4,7,6,5,8,3]=>[3,8,5,6,7,4,2,1]
[1,2,4,6,7,5,8,3]=>[3,8,5,7,6,4,2,1]
[1,2,5,4,7,6,8,3]=>[3,8,6,7,4,5,2,1]
[1,2,4,5,7,6,8,3]=>[3,8,6,7,5,4,2,1]
[1,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,1]
[1,2,5,6,4,7,8,3]=>[3,8,7,4,6,5,2,1]
[1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]
[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]
[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]
[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]
[3,2,1,7,8,6,5,4]=>[4,5,6,8,7,1,2,3]
[3,2,1,6,8,7,5,4]=>[4,5,7,8,6,1,2,3]
[3,2,1,7,6,8,5,4]=>[4,5,8,6,7,1,2,3]
[3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]
[3,2,1,5,8,7,6,4]=>[4,6,7,8,5,1,2,3]
[3,2,1,5,7,8,6,4]=>[4,6,8,7,5,1,2,3]
[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]
[3,2,1,5,6,8,7,4]=>[4,7,8,6,5,1,2,3]
[3,2,1,7,6,5,8,4]=>[4,8,5,6,7,1,2,3]
[3,2,1,6,7,5,8,4]=>[4,8,5,7,6,1,2,3]
[3,2,1,5,7,6,8,4]=>[4,8,6,7,5,1,2,3]
[3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]
[3,2,1,5,6,7,8,4]=>[4,8,7,6,5,1,2,3]
[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]
[2,3,1,7,8,6,5,4]=>[4,5,6,8,7,1,3,2]
[2,3,1,6,8,7,5,4]=>[4,5,7,8,6,1,3,2]
[2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]
[2,3,1,6,7,8,5,4]=>[4,5,8,7,6,1,3,2]
[2,3,1,5,8,7,6,4]=>[4,6,7,8,5,1,3,2]
[2,3,1,5,7,8,6,4]=>[4,6,8,7,5,1,3,2]
[2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]
[2,3,1,5,6,8,7,4]=>[4,7,8,6,5,1,3,2]
[2,3,1,7,6,5,8,4]=>[4,8,5,6,7,1,3,2]
[2,3,1,6,7,5,8,4]=>[4,8,5,7,6,1,3,2]
[2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]
[2,3,1,6,5,7,8,4]=>[4,8,7,5,6,1,3,2]
[2,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,2]
[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]
[1,3,2,7,8,6,5,4]=>[4,5,6,8,7,2,3,1]
[1,3,2,6,8,7,5,4]=>[4,5,7,8,6,2,3,1]
[1,3,2,7,6,8,5,4]=>[4,5,8,6,7,2,3,1]
[1,3,2,6,7,8,5,4]=>[4,5,8,7,6,2,3,1]
[1,3,2,5,8,7,6,4]=>[4,6,7,8,5,2,3,1]
[1,3,2,5,7,8,6,4]=>[4,6,8,7,5,2,3,1]
[1,3,2,6,5,8,7,4]=>[4,7,8,5,6,2,3,1]
[1,3,2,5,6,8,7,4]=>[4,7,8,6,5,2,3,1]
[1,3,2,7,6,5,8,4]=>[4,8,5,6,7,2,3,1]
[1,3,2,6,7,5,8,4]=>[4,8,5,7,6,2,3,1]
[1,3,2,5,7,6,8,4]=>[4,8,6,7,5,2,3,1]
[1,3,2,6,5,7,8,4]=>[4,8,7,5,6,2,3,1]
[1,3,2,5,6,7,8,4]=>[4,8,7,6,5,2,3,1]
[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]
[2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]
[2,1,3,6,8,7,5,4]=>[4,5,7,8,6,3,1,2]
[2,1,3,7,6,8,5,4]=>[4,5,8,6,7,3,1,2]
[2,1,3,6,7,8,5,4]=>[4,5,8,7,6,3,1,2]
[2,1,3,5,8,7,6,4]=>[4,6,7,8,5,3,1,2]
[2,1,3,5,7,8,6,4]=>[4,6,8,7,5,3,1,2]
[2,1,3,6,5,8,7,4]=>[4,7,8,5,6,3,1,2]
[2,1,3,5,6,8,7,4]=>[4,7,8,6,5,3,1,2]
[2,1,3,7,6,5,8,4]=>[4,8,5,6,7,3,1,2]
[2,1,3,6,7,5,8,4]=>[4,8,5,7,6,3,1,2]
[2,1,3,5,7,6,8,4]=>[4,8,6,7,5,3,1,2]
[2,1,3,6,5,7,8,4]=>[4,8,7,5,6,3,1,2]
[2,1,3,5,6,7,8,4]=>[4,8,7,6,5,3,1,2]
[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]
[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]
[1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]
[1,2,3,7,6,8,5,4]=>[4,5,8,6,7,3,2,1]
[1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]
[1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]
[1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]
[1,2,3,6,5,8,7,4]=>[4,7,8,5,6,3,2,1]
[1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]
[1,2,3,7,6,5,8,4]=>[4,8,5,6,7,3,2,1]
[1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]
[1,2,3,5,7,6,8,4]=>[4,8,6,7,5,3,2,1]
[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]
[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]
[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]
[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]
[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]
[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]
[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]
[3,4,2,1,6,8,7,5]=>[5,7,8,6,1,2,4,3]
[3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]
[3,4,2,1,6,7,8,5]=>[5,8,7,6,1,2,4,3]
[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]
[2,4,3,1,7,8,6,5]=>[5,6,8,7,1,3,4,2]
[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]
[2,4,3,1,6,7,8,5]=>[5,8,7,6,1,3,4,2]
[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]
[3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]
[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]
[3,2,4,1,6,7,8,5]=>[5,8,7,6,1,4,2,3]
[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]
[2,3,4,1,7,8,6,5]=>[5,6,8,7,1,4,3,2]
[2,3,4,1,6,8,7,5]=>[5,7,8,6,1,4,3,2]
[2,3,4,1,7,6,8,5]=>[5,8,6,7,1,4,3,2]
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]
[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]
[1,4,3,2,7,8,6,5]=>[5,6,8,7,2,3,4,1]
[1,4,3,2,6,8,7,5]=>[5,7,8,6,2,3,4,1]
[1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]
[1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]
[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]
[1,3,4,2,7,8,6,5]=>[5,6,8,7,2,4,3,1]
[1,3,4,2,6,8,7,5]=>[5,7,8,6,2,4,3,1]
[1,3,4,2,7,6,8,5]=>[5,8,6,7,2,4,3,1]
[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]
[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]
[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]
[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]
[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]
[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]
[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]
[1,2,4,3,7,8,6,5]=>[5,6,8,7,3,4,2,1]
[1,2,4,3,6,8,7,5]=>[5,7,8,6,3,4,2,1]
[1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]
[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]
[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]
[3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]
[3,2,1,4,6,8,7,5]=>[5,7,8,6,4,1,2,3]
[3,2,1,4,7,6,8,5]=>[5,8,6,7,4,1,2,3]
[3,2,1,4,6,7,8,5]=>[5,8,7,6,4,1,2,3]
[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]
[2,3,1,4,7,8,6,5]=>[5,6,8,7,4,1,3,2]
[2,3,1,4,6,8,7,5]=>[5,7,8,6,4,1,3,2]
[2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]
[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]
[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]
[1,3,2,4,7,8,6,5]=>[5,6,8,7,4,2,3,1]
[1,3,2,4,6,8,7,5]=>[5,7,8,6,4,2,3,1]
[1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]
[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]
[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]
[2,1,3,4,7,8,6,5]=>[5,6,8,7,4,3,1,2]
[2,1,3,4,6,8,7,5]=>[5,7,8,6,4,3,1,2]
[2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]
[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]
[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]
[1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1]
[1,2,3,4,6,8,7,5]=>[5,7,8,6,4,3,2,1]
[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]
[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]
[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]
[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]
[4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]
[4,5,3,2,1,7,8,6]=>[6,8,7,1,2,3,5,4]
[3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]
[3,5,4,2,1,7,8,6]=>[6,8,7,1,2,4,5,3]
[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]
[4,3,5,2,1,7,8,6]=>[6,8,7,1,2,5,3,4]
[3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]
[3,4,5,2,1,7,8,6]=>[6,8,7,1,2,5,4,3]
[2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]
[2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]
[2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]
[2,4,5,3,1,7,8,6]=>[6,8,7,1,3,5,4,2]
[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]
[3,2,5,4,1,7,8,6]=>[6,8,7,1,4,5,2,3]
[2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]
[2,3,5,4,1,7,8,6]=>[6,8,7,1,4,5,3,2]
[4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]
[4,3,2,5,1,7,8,6]=>[6,8,7,1,5,2,3,4]
[3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]
[3,4,2,5,1,7,8,6]=>[6,8,7,1,5,2,4,3]
[2,4,3,5,1,8,7,6]=>[6,7,8,1,5,3,4,2]
[2,4,3,5,1,7,8,6]=>[6,8,7,1,5,3,4,2]
[3,2,4,5,1,8,7,6]=>[6,7,8,1,5,4,2,3]
[3,2,4,5,1,7,8,6]=>[6,8,7,1,5,4,2,3]
[2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]
[2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2]
[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]
[1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]
[1,4,5,3,2,8,7,6]=>[6,7,8,2,3,5,4,1]
[1,4,5,3,2,7,8,6]=>[6,8,7,2,3,5,4,1]
[1,3,5,4,2,8,7,6]=>[6,7,8,2,4,5,3,1]
[1,3,5,4,2,7,8,6]=>[6,8,7,2,4,5,3,1]
[1,4,3,5,2,8,7,6]=>[6,7,8,2,5,3,4,1]
[1,4,3,5,2,7,8,6]=>[6,8,7,2,5,3,4,1]
[1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]
[1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]
[2,1,5,4,3,8,7,6]=>[6,7,8,3,4,5,1,2]
[2,1,5,4,3,7,8,6]=>[6,8,7,3,4,5,1,2]
[2,1,4,5,3,8,7,6]=>[6,7,8,3,5,4,1,2]
[2,1,4,5,3,7,8,6]=>[6,8,7,3,5,4,1,2]
[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]
[1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]
[1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]
[1,2,4,5,3,7,8,6]=>[6,8,7,3,5,4,2,1]
[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]
[3,2,1,5,4,7,8,6]=>[6,8,7,4,5,1,2,3]
[2,3,1,5,4,8,7,6]=>[6,7,8,4,5,1,3,2]
[2,3,1,5,4,7,8,6]=>[6,8,7,4,5,1,3,2]
[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]
[1,3,2,5,4,7,8,6]=>[6,8,7,4,5,2,3,1]
[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]
[2,1,3,5,4,7,8,6]=>[6,8,7,4,5,3,1,2]
[1,2,3,5,4,8,7,6]=>[6,7,8,4,5,3,2,1]
[1,2,3,5,4,7,8,6]=>[6,8,7,4,5,3,2,1]
[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]
[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]
[3,4,2,1,5,8,7,6]=>[6,7,8,5,1,2,4,3]
[3,4,2,1,5,7,8,6]=>[6,8,7,5,1,2,4,3]
[2,4,3,1,5,8,7,6]=>[6,7,8,5,1,3,4,2]
[2,4,3,1,5,7,8,6]=>[6,8,7,5,1,3,4,2]
[3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]
[3,2,4,1,5,7,8,6]=>[6,8,7,5,1,4,2,3]
[2,3,4,1,5,8,7,6]=>[6,7,8,5,1,4,3,2]
[2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]
[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]
[1,4,3,2,5,7,8,6]=>[6,8,7,5,2,3,4,1]
[1,3,4,2,5,8,7,6]=>[6,7,8,5,2,4,3,1]
[1,3,4,2,5,7,8,6]=>[6,8,7,5,2,4,3,1]
[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]
[2,1,4,3,5,7,8,6]=>[6,8,7,5,3,4,1,2]
[1,2,4,3,5,8,7,6]=>[6,7,8,5,3,4,2,1]
[1,2,4,3,5,7,8,6]=>[6,8,7,5,3,4,2,1]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]
[3,2,1,4,5,7,8,6]=>[6,8,7,5,4,1,2,3]
[2,3,1,4,5,8,7,6]=>[6,7,8,5,4,1,3,2]
[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]
[1,3,2,4,5,8,7,6]=>[6,7,8,5,4,2,3,1]
[1,3,2,4,5,7,8,6]=>[6,8,7,5,4,2,3,1]
[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]
[2,1,3,4,5,7,8,6]=>[6,8,7,5,4,3,1,2]
[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]
[1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1]
[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]
[5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]
[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]
[5,4,6,3,2,1,8,7]=>[7,8,1,2,3,6,4,5]
[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]
[3,6,5,4,2,1,8,7]=>[7,8,1,2,4,5,6,3]
[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]
[4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]
[3,4,6,5,2,1,8,7]=>[7,8,1,2,5,6,4,3]
[5,4,3,6,2,1,8,7]=>[7,8,1,2,6,3,4,5]
[4,5,3,6,2,1,8,7]=>[7,8,1,2,6,3,5,4]
[3,5,4,6,2,1,8,7]=>[7,8,1,2,6,4,5,3]
[4,3,5,6,2,1,8,7]=>[7,8,1,2,6,5,3,4]
[3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]
[2,6,5,4,3,1,8,7]=>[7,8,1,3,4,5,6,2]
[2,5,6,4,3,1,8,7]=>[7,8,1,3,4,6,5,2]
[2,4,6,5,3,1,8,7]=>[7,8,1,3,5,6,4,2]
[2,5,4,6,3,1,8,7]=>[7,8,1,3,6,4,5,2]
[2,4,5,6,3,1,8,7]=>[7,8,1,3,6,5,4,2]
[3,2,6,5,4,1,8,7]=>[7,8,1,4,5,6,2,3]
[3,2,5,6,4,1,8,7]=>[7,8,1,4,6,5,2,3]
[2,3,6,5,4,1,8,7]=>[7,8,1,4,5,6,3,2]
[2,3,5,6,4,1,8,7]=>[7,8,1,4,6,5,3,2]
[4,3,2,6,5,1,8,7]=>[7,8,1,5,6,2,3,4]
[3,4,2,6,5,1,8,7]=>[7,8,1,5,6,2,4,3]
[2,4,3,6,5,1,8,7]=>[7,8,1,5,6,3,4,2]
[3,2,4,6,5,1,8,7]=>[7,8,1,5,6,4,2,3]
[2,3,4,6,5,1,8,7]=>[7,8,1,5,6,4,3,2]
[5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]
[4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]
[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]
[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]
[3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]
[2,5,4,3,6,1,8,7]=>[7,8,1,6,3,4,5,2]
[2,4,5,3,6,1,8,7]=>[7,8,1,6,3,5,4,2]
[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]
[2,3,5,4,6,1,8,7]=>[7,8,1,6,4,5,3,2]
[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]
[3,4,2,5,6,1,8,7]=>[7,8,1,6,5,2,4,3]
[2,4,3,5,6,1,8,7]=>[7,8,1,6,5,3,4,2]
[3,2,4,5,6,1,8,7]=>[7,8,1,6,5,4,2,3]
[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]
[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]
[1,5,6,4,3,2,8,7]=>[7,8,2,3,4,6,5,1]
[1,4,6,5,3,2,8,7]=>[7,8,2,3,5,6,4,1]
[1,5,4,6,3,2,8,7]=>[7,8,2,3,6,4,5,1]
[1,4,5,6,3,2,8,7]=>[7,8,2,3,6,5,4,1]
[1,3,6,5,4,2,8,7]=>[7,8,2,4,5,6,3,1]
[1,3,5,6,4,2,8,7]=>[7,8,2,4,6,5,3,1]
[1,4,3,6,5,2,8,7]=>[7,8,2,5,6,3,4,1]
[1,3,4,6,5,2,8,7]=>[7,8,2,5,6,4,3,1]
[1,4,5,3,6,2,8,7]=>[7,8,2,6,3,5,4,1]
[1,3,5,4,6,2,8,7]=>[7,8,2,6,4,5,3,1]
[1,4,3,5,6,2,8,7]=>[7,8,2,6,5,3,4,1]
[1,3,4,5,6,2,8,7]=>[7,8,2,6,5,4,3,1]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]
[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]
[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]
[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]
[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]
[1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]
[1,2,5,6,4,3,8,7]=>[7,8,3,4,6,5,2,1]
[1,2,4,6,5,3,8,7]=>[7,8,3,5,6,4,2,1]
[1,2,5,4,6,3,8,7]=>[7,8,3,6,4,5,2,1]
[1,2,4,5,6,3,8,7]=>[7,8,3,6,5,4,2,1]
[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]
[3,2,1,5,6,4,8,7]=>[7,8,4,6,5,1,2,3]
[2,3,1,6,5,4,8,7]=>[7,8,4,5,6,1,3,2]
[2,3,1,5,6,4,8,7]=>[7,8,4,6,5,1,3,2]
[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]
[1,3,2,5,6,4,8,7]=>[7,8,4,6,5,2,3,1]
[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]
[2,1,3,5,6,4,8,7]=>[7,8,4,6,5,3,1,2]
[1,2,3,6,5,4,8,7]=>[7,8,4,5,6,3,2,1]
[1,2,3,5,6,4,8,7]=>[7,8,4,6,5,3,2,1]
[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]
[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]
[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]
[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]
[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]
[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]
[1,3,4,2,6,5,8,7]=>[7,8,5,6,2,4,3,1]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]
[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]
[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]
[2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]
[1,3,2,4,6,5,8,7]=>[7,8,5,6,4,2,3,1]
[2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]
[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]
[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]
[4,5,3,2,1,6,8,7]=>[7,8,6,1,2,3,5,4]
[3,5,4,2,1,6,8,7]=>[7,8,6,1,2,4,5,3]
[4,3,5,2,1,6,8,7]=>[7,8,6,1,2,5,3,4]
[3,4,5,2,1,6,8,7]=>[7,8,6,1,2,5,4,3]
[2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]
[2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]
[3,2,5,4,1,6,8,7]=>[7,8,6,1,4,5,2,3]
[2,3,5,4,1,6,8,7]=>[7,8,6,1,4,5,3,2]
[4,3,2,5,1,6,8,7]=>[7,8,6,1,5,2,3,4]
[3,4,2,5,1,6,8,7]=>[7,8,6,1,5,2,4,3]
[2,4,3,5,1,6,8,7]=>[7,8,6,1,5,3,4,2]
[3,2,4,5,1,6,8,7]=>[7,8,6,1,5,4,2,3]
[2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]
[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]
[1,4,5,3,2,6,8,7]=>[7,8,6,2,3,5,4,1]
[1,3,5,4,2,6,8,7]=>[7,8,6,2,4,5,3,1]
[1,4,3,5,2,6,8,7]=>[7,8,6,2,5,3,4,1]
[1,3,4,5,2,6,8,7]=>[7,8,6,2,5,4,3,1]
[2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]
[2,1,4,5,3,6,8,7]=>[7,8,6,3,5,4,1,2]
[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]
[1,2,4,5,3,6,8,7]=>[7,8,6,3,5,4,2,1]
[3,2,1,5,4,6,8,7]=>[7,8,6,4,5,1,2,3]
[2,3,1,5,4,6,8,7]=>[7,8,6,4,5,1,3,2]
[1,3,2,5,4,6,8,7]=>[7,8,6,4,5,2,3,1]
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]
[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]
[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]
[3,4,2,1,5,6,8,7]=>[7,8,6,5,1,2,4,3]
[2,4,3,1,5,6,8,7]=>[7,8,6,5,1,3,4,2]
[3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]
[2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]
[1,4,3,2,5,6,8,7]=>[7,8,6,5,2,3,4,1]
[1,3,4,2,5,6,8,7]=>[7,8,6,5,2,4,3,1]
[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]
[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]
[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]
[2,3,1,4,5,6,8,7]=>[7,8,6,5,4,1,3,2]
[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]
[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]
[5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]
[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]
[4,6,7,5,3,2,1,8]=>[8,1,2,3,5,7,6,4]
[5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]
[4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]
[4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]
[3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]
[3,6,7,5,4,2,1,8]=>[8,1,2,4,5,7,6,3]
[3,5,7,6,4,2,1,8]=>[8,1,2,4,6,7,5,3]
[3,5,6,7,4,2,1,8]=>[8,1,2,4,7,6,5,3]
[4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]
[4,3,6,7,5,2,1,8]=>[8,1,2,5,7,6,3,4]
[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]
[3,4,6,7,5,2,1,8]=>[8,1,2,5,7,6,4,3]
[5,4,3,7,6,2,1,8]=>[8,1,2,6,7,3,4,5]
[4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]
[3,5,4,7,6,2,1,8]=>[8,1,2,6,7,4,5,3]
[4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]
[3,4,5,7,6,2,1,8]=>[8,1,2,6,7,5,4,3]
[4,6,5,3,7,2,1,8]=>[8,1,2,7,3,5,6,4]
[3,6,5,4,7,2,1,8]=>[8,1,2,7,4,5,6,3]
[3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]
[4,3,6,5,7,2,1,8]=>[8,1,2,7,5,6,3,4]
[3,4,6,5,7,2,1,8]=>[8,1,2,7,5,6,4,3]
[3,5,4,6,7,2,1,8]=>[8,1,2,7,6,4,5,3]
[2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]
[2,6,7,5,4,3,1,8]=>[8,1,3,4,5,7,6,2]
[2,5,7,6,4,3,1,8]=>[8,1,3,4,6,7,5,2]
[2,6,5,7,4,3,1,8]=>[8,1,3,4,7,5,6,2]
[2,5,6,7,4,3,1,8]=>[8,1,3,4,7,6,5,2]
[2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]
[2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]
[2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]
[2,4,5,7,6,3,1,8]=>[8,1,3,6,7,5,4,2]
[2,6,5,4,7,3,1,8]=>[8,1,3,7,4,5,6,2]
[2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]
[2,4,6,5,7,3,1,8]=>[8,1,3,7,5,6,4,2]
[2,5,4,6,7,3,1,8]=>[8,1,3,7,6,4,5,2]
[2,4,5,6,7,3,1,8]=>[8,1,3,7,6,5,4,2]
[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]
[3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]
[3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]
[3,2,6,5,7,4,1,8]=>[8,1,4,7,5,6,2,3]
[3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]
[2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]
[2,3,6,7,5,4,1,8]=>[8,1,4,5,7,6,3,2]
[2,3,5,7,6,4,1,8]=>[8,1,4,6,7,5,3,2]
[2,3,6,5,7,4,1,8]=>[8,1,4,7,5,6,3,2]
[2,3,5,6,7,4,1,8]=>[8,1,4,7,6,5,3,2]
[4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]
[4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]
[3,4,2,7,6,5,1,8]=>[8,1,5,6,7,2,4,3]
[3,4,2,6,7,5,1,8]=>[8,1,5,7,6,2,4,3]
[2,4,3,7,6,5,1,8]=>[8,1,5,6,7,3,4,2]
[2,4,3,6,7,5,1,8]=>[8,1,5,7,6,3,4,2]
[3,2,4,7,6,5,1,8]=>[8,1,5,6,7,4,2,3]
[3,2,4,6,7,5,1,8]=>[8,1,5,7,6,4,2,3]
[2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]
[2,3,4,6,7,5,1,8]=>[8,1,5,7,6,4,3,2]
[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]
[4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]
[3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]
[4,3,5,2,7,6,1,8]=>[8,1,6,7,2,5,3,4]
[3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]
[2,5,4,3,7,6,1,8]=>[8,1,6,7,3,4,5,2]
[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]
[2,3,5,4,7,6,1,8]=>[8,1,6,7,4,5,3,2]
[4,3,2,5,7,6,1,8]=>[8,1,6,7,5,2,3,4]
[3,4,2,5,7,6,1,8]=>[8,1,6,7,5,2,4,3]
[2,4,3,5,7,6,1,8]=>[8,1,6,7,5,3,4,2]
[3,2,4,5,7,6,1,8]=>[8,1,6,7,5,4,2,3]
[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]
[4,6,5,3,2,7,1,8]=>[8,1,7,2,3,5,6,4]
[3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]
[3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]
[4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]
[3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]
[3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]
[2,6,5,4,3,7,1,8]=>[8,1,7,3,4,5,6,2]
[2,5,6,4,3,7,1,8]=>[8,1,7,3,4,6,5,2]
[2,4,6,5,3,7,1,8]=>[8,1,7,3,5,6,4,2]
[2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]
[2,4,5,6,3,7,1,8]=>[8,1,7,3,6,5,4,2]
[3,2,6,5,4,7,1,8]=>[8,1,7,4,5,6,2,3]
[3,2,5,6,4,7,1,8]=>[8,1,7,4,6,5,2,3]
[2,3,6,5,4,7,1,8]=>[8,1,7,4,5,6,3,2]
[2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]
[4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]
[3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]
[2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]
[3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]
[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]
[3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]
[2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]
[2,4,5,3,6,7,1,8]=>[8,1,7,6,3,5,4,2]
[3,2,5,4,6,7,1,8]=>[8,1,7,6,4,5,2,3]
[2,3,5,4,6,7,1,8]=>[8,1,7,6,4,5,3,2]
[2,4,3,5,6,7,1,8]=>[8,1,7,6,5,3,4,2]
[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]
[1,6,7,5,4,3,2,8]=>[8,2,3,4,5,7,6,1]
[1,5,7,6,4,3,2,8]=>[8,2,3,4,6,7,5,1]
[1,6,5,7,4,3,2,8]=>[8,2,3,4,7,5,6,1]
[1,5,6,7,4,3,2,8]=>[8,2,3,4,7,6,5,1]
[1,4,7,6,5,3,2,8]=>[8,2,3,5,6,7,4,1]
[1,4,6,7,5,3,2,8]=>[8,2,3,5,7,6,4,1]
[1,5,4,7,6,3,2,8]=>[8,2,3,6,7,4,5,1]
[1,4,5,7,6,3,2,8]=>[8,2,3,6,7,5,4,1]
[1,6,5,4,7,3,2,8]=>[8,2,3,7,4,5,6,1]
[1,5,6,4,7,3,2,8]=>[8,2,3,7,4,6,5,1]
[1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]
[1,5,4,6,7,3,2,8]=>[8,2,3,7,6,4,5,1]
[1,4,5,6,7,3,2,8]=>[8,2,3,7,6,5,4,1]
[1,3,7,6,5,4,2,8]=>[8,2,4,5,6,7,3,1]
[1,3,6,7,5,4,2,8]=>[8,2,4,5,7,6,3,1]
[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]
[1,3,6,5,7,4,2,8]=>[8,2,4,7,5,6,3,1]
[1,3,5,6,7,4,2,8]=>[8,2,4,7,6,5,3,1]
[1,4,3,7,6,5,2,8]=>[8,2,5,6,7,3,4,1]
[1,4,3,6,7,5,2,8]=>[8,2,5,7,6,3,4,1]
[1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]
[1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]
[1,4,5,3,7,6,2,8]=>[8,2,6,7,3,5,4,1]
[1,3,5,4,7,6,2,8]=>[8,2,6,7,4,5,3,1]
[1,4,3,5,7,6,2,8]=>[8,2,6,7,5,3,4,1]
[1,3,4,5,7,6,2,8]=>[8,2,6,7,5,4,3,1]
[1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]
[1,5,6,4,3,7,2,8]=>[8,2,7,3,4,6,5,1]
[1,4,6,5,3,7,2,8]=>[8,2,7,3,5,6,4,1]
[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]
[1,4,5,6,3,7,2,8]=>[8,2,7,3,6,5,4,1]
[1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]
[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]
[1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]
[1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]
[1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]
[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]
[1,3,5,4,6,7,2,8]=>[8,2,7,6,4,5,3,1]
[1,4,3,5,6,7,2,8]=>[8,2,7,6,5,3,4,1]
[1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]
[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]
[2,1,6,7,5,4,3,8]=>[8,3,4,5,7,6,1,2]
[2,1,5,7,6,4,3,8]=>[8,3,4,6,7,5,1,2]
[2,1,6,5,7,4,3,8]=>[8,3,4,7,5,6,1,2]
[2,1,5,6,7,4,3,8]=>[8,3,4,7,6,5,1,2]
[2,1,4,6,7,5,3,8]=>[8,3,5,7,6,4,1,2]
[2,1,5,4,7,6,3,8]=>[8,3,6,7,4,5,1,2]
[2,1,4,5,7,6,3,8]=>[8,3,6,7,5,4,1,2]
[2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]
[2,1,5,6,4,7,3,8]=>[8,3,7,4,6,5,1,2]
[2,1,4,6,5,7,3,8]=>[8,3,7,5,6,4,1,2]
[2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]
[2,1,4,5,6,7,3,8]=>[8,3,7,6,5,4,1,2]
[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]
[1,2,6,7,5,4,3,8]=>[8,3,4,5,7,6,2,1]
[1,2,5,7,6,4,3,8]=>[8,3,4,6,7,5,2,1]
[1,2,6,5,7,4,3,8]=>[8,3,4,7,5,6,2,1]
[1,2,5,6,7,4,3,8]=>[8,3,4,7,6,5,2,1]
[1,2,4,7,6,5,3,8]=>[8,3,5,6,7,4,2,1]
[1,2,4,6,7,5,3,8]=>[8,3,5,7,6,4,2,1]
[1,2,5,4,7,6,3,8]=>[8,3,6,7,4,5,2,1]
[1,2,4,5,7,6,3,8]=>[8,3,6,7,5,4,2,1]
[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]
[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]
[1,2,4,6,5,7,3,8]=>[8,3,7,5,6,4,2,1]
[1,2,5,4,6,7,3,8]=>[8,3,7,6,4,5,2,1]
[1,2,4,5,6,7,3,8]=>[8,3,7,6,5,4,2,1]
[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]
[3,2,1,6,7,5,4,8]=>[8,4,5,7,6,1,2,3]
[3,2,1,5,7,6,4,8]=>[8,4,6,7,5,1,2,3]
[3,2,1,6,5,7,4,8]=>[8,4,7,5,6,1,2,3]
[3,2,1,5,6,7,4,8]=>[8,4,7,6,5,1,2,3]
[2,3,1,7,6,5,4,8]=>[8,4,5,6,7,1,3,2]
[2,3,1,6,7,5,4,8]=>[8,4,5,7,6,1,3,2]
[2,3,1,5,7,6,4,8]=>[8,4,6,7,5,1,3,2]
[2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]
[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]
[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]
[1,3,2,6,7,5,4,8]=>[8,4,5,7,6,2,3,1]
[1,3,2,5,7,6,4,8]=>[8,4,6,7,5,2,3,1]
[1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]
[1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]
[2,1,3,7,6,5,4,8]=>[8,4,5,6,7,3,1,2]
[2,1,3,6,7,5,4,8]=>[8,4,5,7,6,3,1,2]
[2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]
[2,1,3,6,5,7,4,8]=>[8,4,7,5,6,3,1,2]
[2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]
[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]
[1,2,3,6,7,5,4,8]=>[8,4,5,7,6,3,2,1]
[1,2,3,5,7,6,4,8]=>[8,4,6,7,5,3,2,1]
[1,2,3,6,5,7,4,8]=>[8,4,7,5,6,3,2,1]
[1,2,3,5,6,7,4,8]=>[8,4,7,6,5,3,2,1]
[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]
[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]
[3,4,2,1,7,6,5,8]=>[8,5,6,7,1,2,4,3]
[3,4,2,1,6,7,5,8]=>[8,5,7,6,1,2,4,3]
[2,4,3,1,7,6,5,8]=>[8,5,6,7,1,3,4,2]
[2,4,3,1,6,7,5,8]=>[8,5,7,6,1,3,4,2]
[3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]
[3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]
[2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]
[2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]
[1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]
[1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]
[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]
[2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]
[2,1,4,3,6,7,5,8]=>[8,5,7,6,3,4,1,2]
[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]
[1,2,4,3,6,7,5,8]=>[8,5,7,6,3,4,2,1]
[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]
[3,2,1,4,6,7,5,8]=>[8,5,7,6,4,1,2,3]
[2,3,1,4,7,6,5,8]=>[8,5,6,7,4,1,3,2]
[2,3,1,4,6,7,5,8]=>[8,5,7,6,4,1,3,2]
[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]
[1,3,2,4,6,7,5,8]=>[8,5,7,6,4,2,3,1]
[2,1,3,4,7,6,5,8]=>[8,5,6,7,4,3,1,2]
[2,1,3,4,6,7,5,8]=>[8,5,7,6,4,3,1,2]
[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]
[1,2,3,4,6,7,5,8]=>[8,5,7,6,4,3,2,1]
[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]
[4,5,3,2,1,7,6,8]=>[8,6,7,1,2,3,5,4]
[3,5,4,2,1,7,6,8]=>[8,6,7,1,2,4,5,3]
[4,3,5,2,1,7,6,8]=>[8,6,7,1,2,5,3,4]
[3,4,5,2,1,7,6,8]=>[8,6,7,1,2,5,4,3]
[2,4,5,3,1,7,6,8]=>[8,6,7,1,3,5,4,2]
[3,2,5,4,1,7,6,8]=>[8,6,7,1,4,5,2,3]
[2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]
[4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]
[3,4,2,5,1,7,6,8]=>[8,6,7,1,5,2,4,3]
[2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]
[3,2,4,5,1,7,6,8]=>[8,6,7,1,5,4,2,3]
[2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]
[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]
[1,4,5,3,2,7,6,8]=>[8,6,7,2,3,5,4,1]
[1,3,5,4,2,7,6,8]=>[8,6,7,2,4,5,3,1]
[1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]
[1,3,4,5,2,7,6,8]=>[8,6,7,2,5,4,3,1]
[2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]
[2,1,4,5,3,7,6,8]=>[8,6,7,3,5,4,1,2]
[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]
[1,2,4,5,3,7,6,8]=>[8,6,7,3,5,4,2,1]
[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]
[2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]
[2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]
[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]
[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]
[3,4,2,1,5,7,6,8]=>[8,6,7,5,1,2,4,3]
[2,4,3,1,5,7,6,8]=>[8,6,7,5,1,3,4,2]
[3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]
[2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]
[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]
[1,3,4,2,5,7,6,8]=>[8,6,7,5,2,4,3,1]
[2,1,4,3,5,7,6,8]=>[8,6,7,5,3,4,1,2]
[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]
[3,2,1,4,5,7,6,8]=>[8,6,7,5,4,1,2,3]
[2,3,1,4,5,7,6,8]=>[8,6,7,5,4,1,3,2]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]
[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]
[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]
[4,6,5,3,2,1,7,8]=>[8,7,1,2,3,5,6,4]
[3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]
[3,5,6,4,2,1,7,8]=>[8,7,1,2,4,6,5,3]
[4,3,6,5,2,1,7,8]=>[8,7,1,2,5,6,3,4]
[3,4,6,5,2,1,7,8]=>[8,7,1,2,5,6,4,3]
[3,5,4,6,2,1,7,8]=>[8,7,1,2,6,4,5,3]
[2,4,6,5,3,1,7,8]=>[8,7,1,3,5,6,4,2]
[2,5,4,6,3,1,7,8]=>[8,7,1,3,6,4,5,2]
[2,4,5,6,3,1,7,8]=>[8,7,1,3,6,5,4,2]
[3,2,6,5,4,1,7,8]=>[8,7,1,4,5,6,2,3]
[3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]
[2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]
[2,3,5,6,4,1,7,8]=>[8,7,1,4,6,5,3,2]
[4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]
[3,4,2,6,5,1,7,8]=>[8,7,1,5,6,2,4,3]
[2,4,3,6,5,1,7,8]=>[8,7,1,5,6,3,4,2]
[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]
[3,5,4,2,6,1,7,8]=>[8,7,1,6,2,4,5,3]
[2,5,4,3,6,1,7,8]=>[8,7,1,6,3,4,5,2]
[2,4,5,3,6,1,7,8]=>[8,7,1,6,3,5,4,2]
[3,2,5,4,6,1,7,8]=>[8,7,1,6,4,5,2,3]
[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]
[2,4,3,5,6,1,7,8]=>[8,7,1,6,5,3,4,2]
[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]
[1,5,6,4,3,2,7,8]=>[8,7,2,3,4,6,5,1]
[1,4,6,5,3,2,7,8]=>[8,7,2,3,5,6,4,1]
[1,5,4,6,3,2,7,8]=>[8,7,2,3,6,4,5,1]
[1,4,5,6,3,2,7,8]=>[8,7,2,3,6,5,4,1]
[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]
[1,3,5,6,4,2,7,8]=>[8,7,2,4,6,5,3,1]
[1,4,3,6,5,2,7,8]=>[8,7,2,5,6,3,4,1]
[1,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,1]
[1,5,4,3,6,2,7,8]=>[8,7,2,6,3,4,5,1]
[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]
[1,3,5,4,6,2,7,8]=>[8,7,2,6,4,5,3,1]
[1,4,3,5,6,2,7,8]=>[8,7,2,6,5,3,4,1]
[1,3,4,5,6,2,7,8]=>[8,7,2,6,5,4,3,1]
[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]
[2,1,5,6,4,3,7,8]=>[8,7,3,4,6,5,1,2]
[2,1,4,6,5,3,7,8]=>[8,7,3,5,6,4,1,2]
[2,1,5,4,6,3,7,8]=>[8,7,3,6,4,5,1,2]
[2,1,4,5,6,3,7,8]=>[8,7,3,6,5,4,1,2]
[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]
[1,2,5,6,4,3,7,8]=>[8,7,3,4,6,5,2,1]
[1,2,4,6,5,3,7,8]=>[8,7,3,5,6,4,2,1]
[1,2,5,4,6,3,7,8]=>[8,7,3,6,4,5,2,1]
[1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]
[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]
[3,2,1,5,6,4,7,8]=>[8,7,4,6,5,1,2,3]
[2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]
[2,3,1,5,6,4,7,8]=>[8,7,4,6,5,1,3,2]
[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]
[1,3,2,5,6,4,7,8]=>[8,7,4,6,5,2,3,1]
[2,1,3,6,5,4,7,8]=>[8,7,4,5,6,3,1,2]
[2,1,3,5,6,4,7,8]=>[8,7,4,6,5,3,1,2]
[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]
[1,2,3,5,6,4,7,8]=>[8,7,4,6,5,3,2,1]
[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]
[3,4,2,1,6,5,7,8]=>[8,7,5,6,1,2,4,3]
[2,4,3,1,6,5,7,8]=>[8,7,5,6,1,3,4,2]
[3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]
[2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]
[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]
[1,3,4,2,6,5,7,8]=>[8,7,5,6,2,4,3,1]
[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]
[3,2,1,4,6,5,7,8]=>[8,7,5,6,4,1,2,3]
[2,3,1,4,6,5,7,8]=>[8,7,5,6,4,1,3,2]
[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]
[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]
[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]
[3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]
[2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]
[2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]
[3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]
[2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]
[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]
[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]
[1,4,5,3,2,6,7,8]=>[8,7,6,2,3,5,4,1]
[1,3,5,4,2,6,7,8]=>[8,7,6,2,4,5,3,1]
[1,4,3,5,2,6,7,8]=>[8,7,6,2,5,3,4,1]
[1,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,1]
[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]
[2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]
[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]
[1,2,4,5,3,6,7,8]=>[8,7,6,3,5,4,2,1]
[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]
[2,3,1,5,4,6,7,8]=>[8,7,6,4,5,1,3,2]
[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]
[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]
[2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]
[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]
[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]
[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]
[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]
[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]
[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]
[1,2,3,5,8,6,7,4]=>[4,7,6,8,5,3,2,1]
[1,2,3,7,5,6,4,8]=>[8,4,6,5,7,3,2,1]
[1,2,3,7,5,6,8,4]=>[4,8,6,5,7,3,2,1]
[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]
[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]
[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]
[1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]
[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]
[1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]
[1,2,4,7,5,6,3,8]=>[8,3,6,5,7,4,2,1]
[1,2,4,7,5,6,8,3]=>[3,8,6,5,7,4,2,1]
[1,2,4,8,5,6,7,3]=>[3,7,6,5,8,4,2,1]
[1,2,4,8,5,7,6,3]=>[3,6,7,5,8,4,2,1]
[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]
[1,2,4,8,6,7,5,3]=>[3,5,7,6,8,4,2,1]
[1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]
[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]
[1,2,6,4,5,3,8,7]=>[7,8,3,5,4,6,2,1]
[1,2,6,4,5,7,3,8]=>[8,3,7,5,4,6,2,1]
[1,2,6,4,5,7,8,3]=>[3,8,7,5,4,6,2,1]
[1,2,6,4,5,8,7,3]=>[3,7,8,5,4,6,2,1]
[1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]
[1,2,7,4,5,6,8,3]=>[3,8,6,5,4,7,2,1]
[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]
[1,2,8,4,5,7,6,3]=>[3,6,7,5,4,8,2,1]
[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]
[1,2,7,4,6,5,8,3]=>[3,8,5,6,4,7,2,1]
[1,2,8,4,6,5,7,3]=>[3,7,5,6,4,8,2,1]
[1,2,8,4,6,7,5,3]=>[3,5,7,6,4,8,2,1]
[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]
[1,2,7,5,4,6,3,8]=>[8,3,6,4,5,7,2,1]
[1,2,7,5,4,6,8,3]=>[3,8,6,4,5,7,2,1]
[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]
[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]
[1,2,7,5,6,4,3,8]=>[8,3,4,6,5,7,2,1]
[1,2,7,5,6,4,8,3]=>[3,8,4,6,5,7,2,1]
[1,2,8,5,6,4,7,3]=>[3,7,4,6,5,8,2,1]
[1,2,8,5,6,7,4,3]=>[3,4,7,6,5,8,2,1]
[1,2,8,5,7,6,4,3]=>[3,4,6,7,5,8,2,1]
[1,2,8,6,5,4,7,3]=>[3,7,4,5,6,8,2,1]
[1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]
[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]
[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]
[1,3,2,5,8,6,7,4]=>[4,7,6,8,5,2,3,1]
[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]
[1,3,2,7,5,6,8,4]=>[4,8,6,5,7,2,3,1]
[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]
[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]
[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]
[1,3,2,8,6,7,5,4]=>[4,5,7,6,8,2,3,1]
[1,3,4,2,8,6,7,5]=>[5,7,6,8,2,4,3,1]
[1,3,4,5,8,6,7,2]=>[2,7,6,8,5,4,3,1]
[1,3,4,7,5,6,2,8]=>[8,2,6,5,7,4,3,1]
[1,3,4,7,5,6,8,2]=>[2,8,6,5,7,4,3,1]
[1,3,4,8,5,6,7,2]=>[2,7,6,5,8,4,3,1]
[1,3,4,8,5,7,6,2]=>[2,6,7,5,8,4,3,1]
[1,3,4,8,6,5,7,2]=>[2,7,5,6,8,4,3,1]
[1,3,4,8,6,7,5,2]=>[2,5,7,6,8,4,3,1]
[1,3,5,4,8,6,7,2]=>[2,7,6,8,4,5,3,1]
[1,3,6,4,5,2,7,8]=>[8,7,2,5,4,6,3,1]
[1,3,6,4,5,2,8,7]=>[7,8,2,5,4,6,3,1]
[1,3,6,4,5,7,2,8]=>[8,2,7,5,4,6,3,1]
[1,3,6,4,5,7,8,2]=>[2,8,7,5,4,6,3,1]
[1,3,6,4,5,8,7,2]=>[2,7,8,5,4,6,3,1]
[1,3,7,4,5,6,2,8]=>[8,2,6,5,4,7,3,1]
[1,3,7,4,5,6,8,2]=>[2,8,6,5,4,7,3,1]
[1,3,8,4,5,6,7,2]=>[2,7,6,5,4,8,3,1]
[1,3,8,4,5,7,6,2]=>[2,6,7,5,4,8,3,1]
[1,3,7,4,6,5,2,8]=>[8,2,5,6,4,7,3,1]
[1,3,7,4,6,5,8,2]=>[2,8,5,6,4,7,3,1]
[1,3,8,4,6,5,7,2]=>[2,7,5,6,4,8,3,1]
[1,3,8,4,6,7,5,2]=>[2,5,7,6,4,8,3,1]
[1,3,8,4,7,6,5,2]=>[2,5,6,7,4,8,3,1]
[1,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,1]
[1,3,7,5,4,6,8,2]=>[2,8,6,4,5,7,3,1]
[1,3,8,5,4,6,7,2]=>[2,7,6,4,5,8,3,1]
[1,3,8,5,4,7,6,2]=>[2,6,7,4,5,8,3,1]
[1,3,7,5,6,4,2,8]=>[8,2,4,6,5,7,3,1]
[1,3,7,5,6,4,8,2]=>[2,8,4,6,5,7,3,1]
[1,3,8,5,6,4,7,2]=>[2,7,4,6,5,8,3,1]
[1,3,8,5,6,7,4,2]=>[2,4,7,6,5,8,3,1]
[1,3,8,5,7,6,4,2]=>[2,4,6,7,5,8,3,1]
[1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]
[1,3,8,7,5,6,4,2]=>[2,4,6,5,7,8,3,1]
[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]
[1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]
[1,4,3,7,5,6,2,8]=>[8,2,6,5,7,3,4,1]
[1,4,3,7,5,6,8,2]=>[2,8,6,5,7,3,4,1]
[1,4,3,8,5,6,7,2]=>[2,7,6,5,8,3,4,1]
[1,4,3,8,5,7,6,2]=>[2,6,7,5,8,3,4,1]
[1,4,3,8,6,5,7,2]=>[2,7,5,6,8,3,4,1]
[1,4,3,8,6,7,5,2]=>[2,5,7,6,8,3,4,1]
[1,5,3,4,2,6,7,8]=>[8,7,6,2,4,3,5,1]
[1,5,3,4,2,6,8,7]=>[7,8,6,2,4,3,5,1]
[1,5,3,4,2,7,6,8]=>[8,6,7,2,4,3,5,1]
[1,5,3,4,2,7,8,6]=>[6,8,7,2,4,3,5,1]
[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]
[1,5,3,4,6,2,7,8]=>[8,7,2,6,4,3,5,1]
[1,5,3,4,6,2,8,7]=>[7,8,2,6,4,3,5,1]
[1,5,3,4,6,7,2,8]=>[8,2,7,6,4,3,5,1]
[1,5,3,4,6,7,8,2]=>[2,8,7,6,4,3,5,1]
[1,5,3,4,6,8,7,2]=>[2,7,8,6,4,3,5,1]
[1,5,3,4,7,6,2,8]=>[8,2,6,7,4,3,5,1]
[1,5,3,4,7,6,8,2]=>[2,8,6,7,4,3,5,1]
[1,5,3,4,8,6,7,2]=>[2,7,6,8,4,3,5,1]
[1,5,3,4,8,7,6,2]=>[2,6,7,8,4,3,5,1]
[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]
[1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]
[1,6,3,4,5,7,2,8]=>[8,2,7,5,4,3,6,1]
[1,6,3,4,5,7,8,2]=>[2,8,7,5,4,3,6,1]
[1,6,3,4,5,8,7,2]=>[2,7,8,5,4,3,6,1]
[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]
[1,7,3,4,5,6,8,2]=>[2,8,6,5,4,3,7,1]
[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]
[1,8,3,4,5,7,6,2]=>[2,6,7,5,4,3,8,1]
[1,7,3,4,6,5,2,8]=>[8,2,5,6,4,3,7,1]
[1,7,3,4,6,5,8,2]=>[2,8,5,6,4,3,7,1]
[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]
[1,8,3,4,6,7,5,2]=>[2,5,7,6,4,3,8,1]
[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]
[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]
[1,6,3,5,4,2,8,7]=>[7,8,2,4,5,3,6,1]
[1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]
[1,6,3,5,4,7,8,2]=>[2,8,7,4,5,3,6,1]
[1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]
[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]
[1,7,3,5,4,6,8,2]=>[2,8,6,4,5,3,7,1]
[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]
[1,8,3,5,4,7,6,2]=>[2,6,7,4,5,3,8,1]
[1,7,3,5,6,4,2,8]=>[8,2,4,6,5,3,7,1]
[1,7,3,5,6,4,8,2]=>[2,8,4,6,5,3,7,1]
[1,8,3,5,6,4,7,2]=>[2,7,4,6,5,3,8,1]
[1,8,3,5,6,7,4,2]=>[2,4,7,6,5,3,8,1]
[1,8,3,5,7,6,4,2]=>[2,4,6,7,5,3,8,1]
[1,7,3,6,5,4,2,8]=>[8,2,4,5,6,3,7,1]
[1,7,3,6,5,4,8,2]=>[2,8,4,5,6,3,7,1]
[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]
[1,8,3,6,5,7,4,2]=>[2,4,7,5,6,3,8,1]
[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]
[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]
[1,5,4,3,8,6,7,2]=>[2,7,6,8,3,4,5,1]
[1,6,4,3,5,2,7,8]=>[8,7,2,5,3,4,6,1]
[1,6,4,3,5,2,8,7]=>[7,8,2,5,3,4,6,1]
[1,6,4,3,5,7,2,8]=>[8,2,7,5,3,4,6,1]
[1,6,4,3,5,8,7,2]=>[2,7,8,5,3,4,6,1]
[1,7,4,3,5,6,2,8]=>[8,2,6,5,3,4,7,1]
[1,7,4,3,5,6,8,2]=>[2,8,6,5,3,4,7,1]
[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]
[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]
[1,7,4,3,6,5,2,8]=>[8,2,5,6,3,4,7,1]
[1,7,4,3,6,5,8,2]=>[2,8,5,6,3,4,7,1]
[1,8,4,3,6,5,7,2]=>[2,7,5,6,3,4,8,1]
[1,8,4,3,6,7,5,2]=>[2,5,7,6,3,4,8,1]
[1,8,4,3,7,6,5,2]=>[2,5,6,7,3,4,8,1]
[1,6,4,5,3,2,7,8]=>[8,7,2,3,5,4,6,1]
[1,6,4,5,3,2,8,7]=>[7,8,2,3,5,4,6,1]
[1,6,4,5,3,7,2,8]=>[8,2,7,3,5,4,6,1]
[1,6,4,5,3,7,8,2]=>[2,8,7,3,5,4,6,1]
[1,6,4,5,3,8,7,2]=>[2,7,8,3,5,4,6,1]
[1,7,4,5,3,6,8,2]=>[2,8,6,3,5,4,7,1]
[1,8,4,5,3,6,7,2]=>[2,7,6,3,5,4,8,1]
[1,8,4,5,3,7,6,2]=>[2,6,7,3,5,4,8,1]
[1,7,4,5,6,3,2,8]=>[8,2,3,6,5,4,7,1]
[1,7,4,5,6,3,8,2]=>[2,8,3,6,5,4,7,1]
[1,8,4,5,6,3,7,2]=>[2,7,3,6,5,4,8,1]
[1,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,1]
[1,8,4,5,7,6,3,2]=>[2,3,6,7,5,4,8,1]
[1,7,4,6,5,3,2,8]=>[8,2,3,5,6,4,7,1]
[1,7,4,6,5,3,8,2]=>[2,8,3,5,6,4,7,1]
[1,8,4,6,5,3,7,2]=>[2,7,3,5,6,4,8,1]
[1,8,4,6,5,7,3,2]=>[2,3,7,5,6,4,8,1]
[1,8,4,7,5,6,3,2]=>[2,3,6,5,7,4,8,1]
[1,8,4,7,6,5,3,2]=>[2,3,5,6,7,4,8,1]
[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]
[1,7,5,4,3,6,8,2]=>[2,8,6,3,4,5,7,1]
[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]
[1,8,5,4,3,7,6,2]=>[2,6,7,3,4,5,8,1]
[1,7,5,4,6,3,2,8]=>[8,2,3,6,4,5,7,1]
[1,7,5,4,6,3,8,2]=>[2,8,3,6,4,5,7,1]
[1,8,5,4,6,3,7,2]=>[2,7,3,6,4,5,8,1]
[1,8,5,4,6,7,3,2]=>[2,3,7,6,4,5,8,1]
[1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]
[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]
[1,7,6,4,5,3,8,2]=>[2,8,3,5,4,6,7,1]
[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]
[1,8,6,4,5,7,3,2]=>[2,3,7,5,4,6,8,1]
[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]
[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]
[1,8,6,5,4,3,7,2]=>[2,7,3,4,5,6,8,1]
[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]
[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]
[1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1]
[2,1,3,4,8,6,7,5]=>[5,7,6,8,4,3,1,2]
[2,1,3,5,8,6,7,4]=>[4,7,6,8,5,3,1,2]
[2,1,3,7,5,6,4,8]=>[8,4,6,5,7,3,1,2]
[2,1,3,7,5,6,8,4]=>[4,8,6,5,7,3,1,2]
[2,1,3,8,5,6,7,4]=>[4,7,6,5,8,3,1,2]
[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]
[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]
[2,1,3,8,6,7,5,4]=>[4,5,7,6,8,3,1,2]
[2,1,4,3,8,6,7,5]=>[5,7,6,8,3,4,1,2]
[2,1,4,5,8,6,7,3]=>[3,7,6,8,5,4,1,2]
[2,1,4,7,5,6,3,8]=>[8,3,6,5,7,4,1,2]
[2,1,4,7,5,6,8,3]=>[3,8,6,5,7,4,1,2]
[2,1,4,8,5,6,7,3]=>[3,7,6,5,8,4,1,2]
[2,1,4,8,5,7,6,3]=>[3,6,7,5,8,4,1,2]
[2,1,4,8,6,5,7,3]=>[3,7,5,6,8,4,1,2]
[2,1,4,8,6,7,5,3]=>[3,5,7,6,8,4,1,2]
[2,1,5,4,8,6,7,3]=>[3,7,6,8,4,5,1,2]
[2,1,6,4,5,3,7,8]=>[8,7,3,5,4,6,1,2]
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]
[2,1,6,4,5,7,3,8]=>[8,3,7,5,4,6,1,2]
[2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]
[2,1,6,4,5,8,7,3]=>[3,7,8,5,4,6,1,2]
[2,1,7,4,5,6,3,8]=>[8,3,6,5,4,7,1,2]
[2,1,7,4,5,6,8,3]=>[3,8,6,5,4,7,1,2]
[2,1,8,4,5,6,7,3]=>[3,7,6,5,4,8,1,2]
[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]
[2,1,7,4,6,5,3,8]=>[8,3,5,6,4,7,1,2]
[2,1,7,4,6,5,8,3]=>[3,8,5,6,4,7,1,2]
[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]
[2,1,8,4,6,7,5,3]=>[3,5,7,6,4,8,1,2]
[2,1,8,4,7,6,5,3]=>[3,5,6,7,4,8,1,2]
[2,1,7,5,4,6,8,3]=>[3,8,6,4,5,7,1,2]
[2,1,8,5,4,6,7,3]=>[3,7,6,4,5,8,1,2]
[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]
[2,1,7,5,6,4,3,8]=>[8,3,4,6,5,7,1,2]
[2,1,7,5,6,4,8,3]=>[3,8,4,6,5,7,1,2]
[2,1,8,5,6,4,7,3]=>[3,7,4,6,5,8,1,2]
[2,1,8,5,6,7,4,3]=>[3,4,7,6,5,8,1,2]
[2,1,8,5,7,6,4,3]=>[3,4,6,7,5,8,1,2]
[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]
[2,1,8,6,5,7,4,3]=>[3,4,7,5,6,8,1,2]
[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]
[2,3,1,4,8,6,7,5]=>[5,7,6,8,4,1,3,2]
[2,3,1,5,8,6,7,4]=>[4,7,6,8,5,1,3,2]
[2,3,1,7,5,6,4,8]=>[8,4,6,5,7,1,3,2]
[2,3,1,7,5,6,8,4]=>[4,8,6,5,7,1,3,2]
[2,3,1,8,5,6,7,4]=>[4,7,6,5,8,1,3,2]
[2,3,1,8,5,7,6,4]=>[4,6,7,5,8,1,3,2]
[2,3,1,8,6,5,7,4]=>[4,7,5,6,8,1,3,2]
[2,3,1,8,6,7,5,4]=>[4,5,7,6,8,1,3,2]
[2,3,4,1,8,6,7,5]=>[5,7,6,8,1,4,3,2]
[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]
[2,3,4,7,5,6,1,8]=>[8,1,6,5,7,4,3,2]
[2,3,4,7,5,6,8,1]=>[1,8,6,5,7,4,3,2]
[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]
[2,3,4,8,5,7,6,1]=>[1,6,7,5,8,4,3,2]
[2,3,4,8,6,5,7,1]=>[1,7,5,6,8,4,3,2]
[2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2]
[2,3,5,4,8,6,7,1]=>[1,7,6,8,4,5,3,2]
[2,3,6,4,5,1,7,8]=>[8,7,1,5,4,6,3,2]
[2,3,6,4,5,1,8,7]=>[7,8,1,5,4,6,3,2]
[2,3,6,4,5,7,1,8]=>[8,1,7,5,4,6,3,2]
[2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]
[2,3,6,4,5,8,7,1]=>[1,7,8,5,4,6,3,2]
[2,3,7,4,5,6,1,8]=>[8,1,6,5,4,7,3,2]
[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]
[2,3,8,4,5,6,7,1]=>[1,7,6,5,4,8,3,2]
[2,3,8,4,5,7,6,1]=>[1,6,7,5,4,8,3,2]
[2,3,7,4,6,5,1,8]=>[8,1,5,6,4,7,3,2]
[2,3,7,4,6,5,8,1]=>[1,8,5,6,4,7,3,2]
[2,3,8,4,6,5,7,1]=>[1,7,5,6,4,8,3,2]
[2,3,8,4,6,7,5,1]=>[1,5,7,6,4,8,3,2]
[2,3,8,4,7,6,5,1]=>[1,5,6,7,4,8,3,2]
[2,3,7,5,4,6,1,8]=>[8,1,6,4,5,7,3,2]
[2,3,7,5,4,6,8,1]=>[1,8,6,4,5,7,3,2]
[2,3,8,5,4,6,7,1]=>[1,7,6,4,5,8,3,2]
[2,3,8,5,4,7,6,1]=>[1,6,7,4,5,8,3,2]
[2,3,7,5,6,4,1,8]=>[8,1,4,6,5,7,3,2]
[2,3,7,5,6,4,8,1]=>[1,8,4,6,5,7,3,2]
[2,3,8,5,6,4,7,1]=>[1,7,4,6,5,8,3,2]
[2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2]
[2,3,8,5,7,6,4,1]=>[1,4,6,7,5,8,3,2]
[2,3,8,6,5,4,7,1]=>[1,7,4,5,6,8,3,2]
[2,3,8,6,5,7,4,1]=>[1,4,7,5,6,8,3,2]
[2,3,8,7,5,6,4,1]=>[1,4,6,5,7,8,3,2]
[2,4,3,1,8,6,7,5]=>[5,7,6,8,1,3,4,2]
[2,4,3,5,8,6,7,1]=>[1,7,6,8,5,3,4,2]
[2,4,3,7,5,6,1,8]=>[8,1,6,5,7,3,4,2]
[2,4,3,7,5,6,8,1]=>[1,8,6,5,7,3,4,2]
[2,4,3,8,5,6,7,1]=>[1,7,6,5,8,3,4,2]
[2,4,3,8,5,7,6,1]=>[1,6,7,5,8,3,4,2]
[2,4,3,8,6,5,7,1]=>[1,7,5,6,8,3,4,2]
[2,4,3,8,6,7,5,1]=>[1,5,7,6,8,3,4,2]
[2,5,3,4,1,6,7,8]=>[8,7,6,1,4,3,5,2]
[2,5,3,4,1,6,8,7]=>[7,8,6,1,4,3,5,2]
[2,5,3,4,1,7,6,8]=>[8,6,7,1,4,3,5,2]
[2,5,3,4,1,7,8,6]=>[6,8,7,1,4,3,5,2]
[2,5,3,4,1,8,7,6]=>[6,7,8,1,4,3,5,2]
[2,5,3,4,6,1,7,8]=>[8,7,1,6,4,3,5,2]
[2,5,3,4,6,1,8,7]=>[7,8,1,6,4,3,5,2]
[2,5,3,4,6,7,1,8]=>[8,1,7,6,4,3,5,2]
[2,5,3,4,6,7,8,1]=>[1,8,7,6,4,3,5,2]
[2,5,3,4,6,8,7,1]=>[1,7,8,6,4,3,5,2]
[2,5,3,4,7,6,1,8]=>[8,1,6,7,4,3,5,2]
[2,5,3,4,7,6,8,1]=>[1,8,6,7,4,3,5,2]
[2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]
[2,5,3,4,8,7,6,1]=>[1,6,7,8,4,3,5,2]
[2,6,3,4,5,1,7,8]=>[8,7,1,5,4,3,6,2]
[2,6,3,4,5,1,8,7]=>[7,8,1,5,4,3,6,2]
[2,6,3,4,5,7,1,8]=>[8,1,7,5,4,3,6,2]
[2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]
[2,6,3,4,5,8,7,1]=>[1,7,8,5,4,3,6,2]
[2,7,3,4,5,6,1,8]=>[8,1,6,5,4,3,7,2]
[2,7,3,4,5,6,8,1]=>[1,8,6,5,4,3,7,2]
[2,8,3,4,5,6,7,1]=>[1,7,6,5,4,3,8,2]
[2,8,3,4,5,7,6,1]=>[1,6,7,5,4,3,8,2]
[2,7,3,4,6,5,1,8]=>[8,1,5,6,4,3,7,2]
[2,7,3,4,6,5,8,1]=>[1,8,5,6,4,3,7,2]
[2,8,3,4,6,5,7,1]=>[1,7,5,6,4,3,8,2]
[2,8,3,4,6,7,5,1]=>[1,5,7,6,4,3,8,2]
[2,8,3,4,7,6,5,1]=>[1,5,6,7,4,3,8,2]
[2,6,3,5,4,1,7,8]=>[8,7,1,4,5,3,6,2]
[2,6,3,5,4,1,8,7]=>[7,8,1,4,5,3,6,2]
[2,6,3,5,4,7,1,8]=>[8,1,7,4,5,3,6,2]
[2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]
[2,6,3,5,4,8,7,1]=>[1,7,8,4,5,3,6,2]
[2,7,3,5,4,6,8,1]=>[1,8,6,4,5,3,7,2]
[2,8,3,5,4,6,7,1]=>[1,7,6,4,5,3,8,2]
[2,8,3,5,4,7,6,1]=>[1,6,7,4,5,3,8,2]
[2,7,3,5,6,4,1,8]=>[8,1,4,6,5,3,7,2]
[2,7,3,5,6,4,8,1]=>[1,8,4,6,5,3,7,2]
[2,8,3,5,6,4,7,1]=>[1,7,4,6,5,3,8,2]
[2,8,3,5,6,7,4,1]=>[1,4,7,6,5,3,8,2]
[2,8,3,5,7,6,4,1]=>[1,4,6,7,5,3,8,2]
[2,7,3,6,5,4,1,8]=>[8,1,4,5,6,3,7,2]
[2,7,3,6,5,4,8,1]=>[1,8,4,5,6,3,7,2]
[2,8,3,6,5,4,7,1]=>[1,7,4,5,6,3,8,2]
[2,8,3,6,5,7,4,1]=>[1,4,7,5,6,3,8,2]
[2,8,3,7,5,6,4,1]=>[1,4,6,5,7,3,8,2]
[2,8,3,7,6,5,4,1]=>[1,4,5,6,7,3,8,2]
[2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]
[2,6,4,3,5,1,7,8]=>[8,7,1,5,3,4,6,2]
[2,6,4,3,5,1,8,7]=>[7,8,1,5,3,4,6,2]
[2,6,4,3,5,7,1,8]=>[8,1,7,5,3,4,6,2]
[2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]
[2,6,4,3,5,8,7,1]=>[1,7,8,5,3,4,6,2]
[2,7,4,3,5,6,1,8]=>[8,1,6,5,3,4,7,2]
[2,7,4,3,5,6,8,1]=>[1,8,6,5,3,4,7,2]
[2,8,4,3,5,6,7,1]=>[1,7,6,5,3,4,8,2]
[2,8,4,3,5,7,6,1]=>[1,6,7,5,3,4,8,2]
[2,7,4,3,6,5,1,8]=>[8,1,5,6,3,4,7,2]
[2,7,4,3,6,5,8,1]=>[1,8,5,6,3,4,7,2]
[2,8,4,3,6,5,7,1]=>[1,7,5,6,3,4,8,2]
[2,8,4,3,6,7,5,1]=>[1,5,7,6,3,4,8,2]
[2,8,4,3,7,6,5,1]=>[1,5,6,7,3,4,8,2]
[2,6,4,5,3,1,7,8]=>[8,7,1,3,5,4,6,2]
[2,6,4,5,3,1,8,7]=>[7,8,1,3,5,4,6,2]
[2,6,4,5,3,7,1,8]=>[8,1,7,3,5,4,6,2]
[2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]
[2,6,4,5,3,8,7,1]=>[1,7,8,3,5,4,6,2]
[2,7,4,5,3,6,1,8]=>[8,1,6,3,5,4,7,2]
[2,7,4,5,3,6,8,1]=>[1,8,6,3,5,4,7,2]
[2,8,4,5,3,6,7,1]=>[1,7,6,3,5,4,8,2]
[2,8,4,5,3,7,6,1]=>[1,6,7,3,5,4,8,2]
[2,7,4,5,6,3,1,8]=>[8,1,3,6,5,4,7,2]
[2,7,4,5,6,3,8,1]=>[1,8,3,6,5,4,7,2]
[2,8,4,5,6,3,7,1]=>[1,7,3,6,5,4,8,2]
[2,8,4,5,6,7,3,1]=>[1,3,7,6,5,4,8,2]
[2,8,4,5,7,6,3,1]=>[1,3,6,7,5,4,8,2]
[2,7,4,6,5,3,1,8]=>[8,1,3,5,6,4,7,2]
[2,7,4,6,5,3,8,1]=>[1,8,3,5,6,4,7,2]
[2,8,4,6,5,3,7,1]=>[1,7,3,5,6,4,8,2]
[2,8,4,6,5,7,3,1]=>[1,3,7,5,6,4,8,2]
[2,8,4,7,5,6,3,1]=>[1,3,6,5,7,4,8,2]
[2,8,4,7,6,5,3,1]=>[1,3,5,6,7,4,8,2]
[2,7,5,4,3,6,1,8]=>[8,1,6,3,4,5,7,2]
[2,7,5,4,3,6,8,1]=>[1,8,6,3,4,5,7,2]
[2,8,5,4,3,6,7,1]=>[1,7,6,3,4,5,8,2]
[2,8,5,4,3,7,6,1]=>[1,6,7,3,4,5,8,2]
[2,7,5,4,6,3,1,8]=>[8,1,3,6,4,5,7,2]
[2,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,2]
[2,8,5,4,6,3,7,1]=>[1,7,3,6,4,5,8,2]
[2,8,5,4,6,7,3,1]=>[1,3,7,6,4,5,8,2]
[2,8,5,4,7,6,3,1]=>[1,3,6,7,4,5,8,2]
[2,7,6,4,5,3,1,8]=>[8,1,3,5,4,6,7,2]
[2,7,6,4,5,3,8,1]=>[1,8,3,5,4,6,7,2]
[2,8,6,4,5,3,7,1]=>[1,7,3,5,4,6,8,2]
[2,8,6,4,5,7,3,1]=>[1,3,7,5,4,6,8,2]
[2,8,7,4,5,6,3,1]=>[1,3,6,5,4,7,8,2]
[2,8,7,4,6,5,3,1]=>[1,3,5,6,4,7,8,2]
[2,8,6,5,4,3,7,1]=>[1,7,3,4,5,6,8,2]
[2,8,6,5,4,7,3,1]=>[1,3,7,4,5,6,8,2]
[2,8,7,5,4,6,3,1]=>[1,3,6,4,5,7,8,2]
[2,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,2]
[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]
[3,2,1,5,8,6,7,4]=>[4,7,6,8,5,1,2,3]
[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]
[3,2,1,7,5,6,8,4]=>[4,8,6,5,7,1,2,3]
[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]
[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]
[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]
[3,2,1,8,6,7,5,4]=>[4,5,7,6,8,1,2,3]
[3,2,4,1,8,6,7,5]=>[5,7,6,8,1,4,2,3]
[3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]
[3,2,4,7,5,6,1,8]=>[8,1,6,5,7,4,2,3]
[3,2,4,7,5,6,8,1]=>[1,8,6,5,7,4,2,3]
[3,2,4,8,5,6,7,1]=>[1,7,6,5,8,4,2,3]
[3,2,4,8,5,7,6,1]=>[1,6,7,5,8,4,2,3]
[3,2,4,8,6,5,7,1]=>[1,7,5,6,8,4,2,3]
[3,2,4,8,6,7,5,1]=>[1,5,7,6,8,4,2,3]
[3,2,5,4,8,6,7,1]=>[1,7,6,8,4,5,2,3]
[3,2,6,4,5,1,7,8]=>[8,7,1,5,4,6,2,3]
[3,2,6,4,5,1,8,7]=>[7,8,1,5,4,6,2,3]
[3,2,6,4,5,7,1,8]=>[8,1,7,5,4,6,2,3]
[3,2,6,4,5,7,8,1]=>[1,8,7,5,4,6,2,3]
[3,2,6,4,5,8,7,1]=>[1,7,8,5,4,6,2,3]
[3,2,7,4,5,6,1,8]=>[8,1,6,5,4,7,2,3]
[3,2,7,4,5,6,8,1]=>[1,8,6,5,4,7,2,3]
[3,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,3]
[3,2,8,4,5,7,6,1]=>[1,6,7,5,4,8,2,3]
[3,2,7,4,6,5,1,8]=>[8,1,5,6,4,7,2,3]
[3,2,7,4,6,5,8,1]=>[1,8,5,6,4,7,2,3]
[3,2,8,4,6,5,7,1]=>[1,7,5,6,4,8,2,3]
[3,2,8,4,6,7,5,1]=>[1,5,7,6,4,8,2,3]
[3,2,8,4,7,6,5,1]=>[1,5,6,7,4,8,2,3]
[3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]
[3,2,7,5,4,6,8,1]=>[1,8,6,4,5,7,2,3]
[3,2,8,5,4,6,7,1]=>[1,7,6,4,5,8,2,3]
[3,2,8,5,4,7,6,1]=>[1,6,7,4,5,8,2,3]
[3,2,7,5,6,4,1,8]=>[8,1,4,6,5,7,2,3]
[3,2,7,5,6,4,8,1]=>[1,8,4,6,5,7,2,3]
[3,2,8,5,6,4,7,1]=>[1,7,4,6,5,8,2,3]
[3,2,8,5,6,7,4,1]=>[1,4,7,6,5,8,2,3]
[3,2,8,5,7,6,4,1]=>[1,4,6,7,5,8,2,3]
[3,2,8,6,5,4,7,1]=>[1,7,4,5,6,8,2,3]
[3,2,8,6,5,7,4,1]=>[1,4,7,5,6,8,2,3]
[3,2,8,7,5,6,4,1]=>[1,4,6,5,7,8,2,3]
[4,2,3,1,5,6,8,7]=>[7,8,6,5,1,3,2,4]
[4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]
[4,2,3,1,5,7,8,6]=>[6,8,7,5,1,3,2,4]
[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]
[4,2,3,1,6,5,7,8]=>[8,7,5,6,1,3,2,4]
[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]
[4,2,3,1,6,7,5,8]=>[8,5,7,6,1,3,2,4]
[4,2,3,1,6,7,8,5]=>[5,8,7,6,1,3,2,4]
[4,2,3,1,6,8,7,5]=>[5,7,8,6,1,3,2,4]
[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]
[4,2,3,1,7,6,8,5]=>[5,8,6,7,1,3,2,4]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]
[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]
[4,2,3,5,1,6,8,7]=>[7,8,6,1,5,3,2,4]
[4,2,3,5,1,7,6,8]=>[8,6,7,1,5,3,2,4]
[4,2,3,5,1,7,8,6]=>[6,8,7,1,5,3,2,4]
[4,2,3,5,1,8,7,6]=>[6,7,8,1,5,3,2,4]
[4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]
[4,2,3,5,6,8,7,1]=>[1,7,8,6,5,3,2,4]
[4,2,3,5,7,6,1,8]=>[8,1,6,7,5,3,2,4]
[4,2,3,5,7,6,8,1]=>[1,8,6,7,5,3,2,4]
[4,2,3,5,8,6,7,1]=>[1,7,6,8,5,3,2,4]
[4,2,3,5,8,7,6,1]=>[1,6,7,8,5,3,2,4]
[4,2,3,6,5,1,7,8]=>[8,7,1,5,6,3,2,4]
[4,2,3,6,5,1,8,7]=>[7,8,1,5,6,3,2,4]
[4,2,3,6,5,7,1,8]=>[8,1,7,5,6,3,2,4]
[4,2,3,6,5,8,7,1]=>[1,7,8,5,6,3,2,4]
[4,2,3,7,5,6,1,8]=>[8,1,6,5,7,3,2,4]
[4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]
[4,2,3,8,5,6,7,1]=>[1,7,6,5,8,3,2,4]
[4,2,3,8,5,7,6,1]=>[1,6,7,5,8,3,2,4]
[4,2,3,7,6,5,1,8]=>[8,1,5,6,7,3,2,4]
[4,2,3,7,6,5,8,1]=>[1,8,5,6,7,3,2,4]
[4,2,3,8,6,5,7,1]=>[1,7,5,6,8,3,2,4]
[4,2,3,8,6,7,5,1]=>[1,5,7,6,8,3,2,4]
[4,2,3,8,7,6,5,1]=>[1,5,6,7,8,3,2,4]
[5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]
[5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]
[5,2,3,4,1,7,8,6]=>[6,8,7,1,4,3,2,5]
[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]
[5,2,3,4,6,1,8,7]=>[7,8,1,6,4,3,2,5]
[5,2,3,4,6,8,7,1]=>[1,7,8,6,4,3,2,5]
[5,2,3,4,7,6,1,8]=>[8,1,6,7,4,3,2,5]
[5,2,3,4,7,6,8,1]=>[1,8,6,7,4,3,2,5]
[5,2,3,4,8,6,7,1]=>[1,7,6,8,4,3,2,5]
[5,2,3,4,8,7,6,1]=>[1,6,7,8,4,3,2,5]
[6,2,3,4,5,1,8,7]=>[7,8,1,5,4,3,2,6]
[6,2,3,4,5,8,7,1]=>[1,7,8,5,4,3,2,6]
[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]
[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]
[7,2,3,4,6,5,8,1]=>[1,8,5,6,4,3,2,7]
[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]
[8,2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2,8]
[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]
[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]
[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]
[6,2,3,5,4,7,1,8]=>[8,1,7,4,5,3,2,6]
[6,2,3,5,4,7,8,1]=>[1,8,7,4,5,3,2,6]
[6,2,3,5,4,8,7,1]=>[1,7,8,4,5,3,2,6]
[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]
[7,2,3,5,4,6,8,1]=>[1,8,6,4,5,3,2,7]
[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]
[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]
[7,2,3,5,6,4,1,8]=>[8,1,4,6,5,3,2,7]
[7,2,3,5,6,4,8,1]=>[1,8,4,6,5,3,2,7]
[8,2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2,8]
[8,2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2,8]
[8,2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2,8]
[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]
[7,2,3,6,5,4,8,1]=>[1,8,4,5,6,3,2,7]
[8,2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2,8]
[8,2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2,8]
[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]
[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]
[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]
[5,2,4,3,1,6,8,7]=>[7,8,6,1,3,4,2,5]
[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]
[5,2,4,3,1,7,8,6]=>[6,8,7,1,3,4,2,5]
[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]
[5,2,4,3,6,1,7,8]=>[8,7,1,6,3,4,2,5]
[5,2,4,3,6,1,8,7]=>[7,8,1,6,3,4,2,5]
[5,2,4,3,6,7,1,8]=>[8,1,7,6,3,4,2,5]
[5,2,4,3,6,7,8,1]=>[1,8,7,6,3,4,2,5]
[5,2,4,3,6,8,7,1]=>[1,7,8,6,3,4,2,5]
[5,2,4,3,7,6,1,8]=>[8,1,6,7,3,4,2,5]
[5,2,4,3,7,6,8,1]=>[1,8,6,7,3,4,2,5]
[5,2,4,3,8,6,7,1]=>[1,7,6,8,3,4,2,5]
[5,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,5]
[6,2,4,3,5,1,7,8]=>[8,7,1,5,3,4,2,6]
[6,2,4,3,5,1,8,7]=>[7,8,1,5,3,4,2,6]
[6,2,4,3,5,7,1,8]=>[8,1,7,5,3,4,2,6]
[6,2,4,3,5,7,8,1]=>[1,8,7,5,3,4,2,6]
[6,2,4,3,5,8,7,1]=>[1,7,8,5,3,4,2,6]
[7,2,4,3,5,6,8,1]=>[1,8,6,5,3,4,2,7]
[8,2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2,8]
[8,2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2,8]
[7,2,4,3,6,5,1,8]=>[8,1,5,6,3,4,2,7]
[7,2,4,3,6,5,8,1]=>[1,8,5,6,3,4,2,7]
[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]
[8,2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2,8]
[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]
[6,2,4,5,3,1,7,8]=>[8,7,1,3,5,4,2,6]
[6,2,4,5,3,1,8,7]=>[7,8,1,3,5,4,2,6]
[6,2,4,5,3,7,1,8]=>[8,1,7,3,5,4,2,6]
[6,2,4,5,3,7,8,1]=>[1,8,7,3,5,4,2,6]
[6,2,4,5,3,8,7,1]=>[1,7,8,3,5,4,2,6]
[7,2,4,5,3,6,1,8]=>[8,1,6,3,5,4,2,7]
[7,2,4,5,3,6,8,1]=>[1,8,6,3,5,4,2,7]
[8,2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2,8]
[8,2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2,8]
[7,2,4,5,6,3,1,8]=>[8,1,3,6,5,4,2,7]
[7,2,4,5,6,3,8,1]=>[1,8,3,6,5,4,2,7]
[8,2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2,8]
[8,2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2,8]
[8,2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2,8]
[7,2,4,6,5,3,1,8]=>[8,1,3,5,6,4,2,7]
[7,2,4,6,5,3,8,1]=>[1,8,3,5,6,4,2,7]
[8,2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2,8]
[8,2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2,8]
[8,2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2,8]
[8,2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2,8]
[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]
[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]
[6,2,5,4,3,7,1,8]=>[8,1,7,3,4,5,2,6]
[6,2,5,4,3,7,8,1]=>[1,8,7,3,4,5,2,6]
[6,2,5,4,3,8,7,1]=>[1,7,8,3,4,5,2,6]
[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]
[7,2,5,4,3,6,8,1]=>[1,8,6,3,4,5,2,7]
[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]
[8,2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2,8]
[7,2,5,4,6,3,1,8]=>[8,1,3,6,4,5,2,7]
[7,2,5,4,6,3,8,1]=>[1,8,3,6,4,5,2,7]
[8,2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2,8]
[8,2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2,8]
[8,2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2,8]
[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]
[7,2,6,4,5,3,8,1]=>[1,8,3,5,4,6,2,7]
[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]
[8,2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2,8]
[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]
[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]
[7,2,6,5,4,3,1,8]=>[8,1,3,4,5,6,2,7]
[7,2,6,5,4,3,8,1]=>[1,8,3,4,5,6,2,7]
[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]
[8,2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2,8]
[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]
[8,2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2,8]
[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]
[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]
[4,3,2,5,8,6,7,1]=>[1,7,6,8,5,2,3,4]
[4,3,2,7,5,6,1,8]=>[8,1,6,5,7,2,3,4]
[4,3,2,7,5,6,8,1]=>[1,8,6,5,7,2,3,4]
[4,3,2,8,5,6,7,1]=>[1,7,6,5,8,2,3,4]
[4,3,2,8,5,7,6,1]=>[1,6,7,5,8,2,3,4]
[4,3,2,8,6,5,7,1]=>[1,7,5,6,8,2,3,4]
[4,3,2,8,6,7,5,1]=>[1,5,7,6,8,2,3,4]
[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]
[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]
[5,3,2,4,1,7,8,6]=>[6,8,7,1,4,2,3,5]
[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]
[5,3,2,4,6,1,8,7]=>[7,8,1,6,4,2,3,5]
[5,3,2,4,7,6,1,8]=>[8,1,6,7,4,2,3,5]
[5,3,2,4,7,6,8,1]=>[1,8,6,7,4,2,3,5]
[5,3,2,4,8,6,7,1]=>[1,7,6,8,4,2,3,5]
[5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]
[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]
[6,3,2,4,5,8,7,1]=>[1,7,8,5,4,2,3,6]
[8,3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3,8]
[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]
[7,3,2,4,6,5,8,1]=>[1,8,5,6,4,2,3,7]
[8,3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3,8]
[8,3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3,8]
[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]
[6,3,2,5,4,1,7,8]=>[8,7,1,4,5,2,3,6]
[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]
[6,3,2,5,4,7,1,8]=>[8,1,7,4,5,2,3,6]
[6,3,2,5,4,7,8,1]=>[1,8,7,4,5,2,3,6]
[6,3,2,5,4,8,7,1]=>[1,7,8,4,5,2,3,6]
[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]
[7,3,2,5,4,6,8,1]=>[1,8,6,4,5,2,3,7]
[8,3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3,8]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]
[7,3,2,5,6,4,8,1]=>[1,8,4,6,5,2,3,7]
[8,3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3,8]
[8,3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3,8]
[8,3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3,8]
[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]
[7,3,2,6,5,4,8,1]=>[1,8,4,5,6,2,3,7]
[8,3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3,8]
[8,3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3,8]
[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]
[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]
[5,3,4,2,1,6,8,7]=>[7,8,6,1,2,4,3,5]
[5,3,4,2,1,7,6,8]=>[8,6,7,1,2,4,3,5]
[5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]
[5,3,4,2,1,8,7,6]=>[6,7,8,1,2,4,3,5]
[5,3,4,2,6,1,8,7]=>[7,8,1,6,2,4,3,5]
[5,3,4,2,6,8,7,1]=>[1,7,8,6,2,4,3,5]
[5,3,4,2,7,6,1,8]=>[8,1,6,7,2,4,3,5]
[5,3,4,2,7,6,8,1]=>[1,8,6,7,2,4,3,5]
[5,3,4,2,8,6,7,1]=>[1,7,6,8,2,4,3,5]
[5,3,4,2,8,7,6,1]=>[1,6,7,8,2,4,3,5]
[6,3,4,2,5,1,8,7]=>[7,8,1,5,2,4,3,6]
[6,3,4,2,5,8,7,1]=>[1,7,8,5,2,4,3,6]
[8,3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3,8]
[7,3,4,2,6,5,1,8]=>[8,1,5,6,2,4,3,7]
[7,3,4,2,6,5,8,1]=>[1,8,5,6,2,4,3,7]
[8,3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3,8]
[8,3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3,8]
[8,3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3,8]
[6,3,4,5,2,1,8,7]=>[7,8,1,2,5,4,3,6]
[6,3,4,5,2,8,7,1]=>[1,7,8,2,5,4,3,6]
[8,3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3,8]
[8,3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3,8]
[7,3,4,6,5,2,1,8]=>[8,1,2,5,6,4,3,7]
[7,3,4,6,5,2,8,1]=>[1,8,2,5,6,4,3,7]
[8,3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3,8]
[8,3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3,8]
[8,3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3,8]
[8,3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3,8]
[6,3,5,4,2,1,7,8]=>[8,7,1,2,4,5,3,6]
[6,3,5,4,2,1,8,7]=>[7,8,1,2,4,5,3,6]
[6,3,5,4,2,7,1,8]=>[8,1,7,2,4,5,3,6]
[6,3,5,4,2,7,8,1]=>[1,8,7,2,4,5,3,6]
[6,3,5,4,2,8,7,1]=>[1,7,8,2,4,5,3,6]
[7,3,5,4,2,6,1,8]=>[8,1,6,2,4,5,3,7]
[7,3,5,4,2,6,8,1]=>[1,8,6,2,4,5,3,7]
[8,3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3,8]
[8,3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3,8]
[7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]
[7,3,5,4,6,2,8,1]=>[1,8,2,6,4,5,3,7]
[8,3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3,8]
[8,3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3,8]
[8,3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3,8]
[7,3,6,4,5,2,1,8]=>[8,1,2,5,4,6,3,7]
[7,3,6,4,5,2,8,1]=>[1,8,2,5,4,6,3,7]
[8,3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3,8]
[8,3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3,8]
[8,3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3,8]
[8,3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3,8]
[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]
[7,3,6,5,4,2,8,1]=>[1,8,2,4,5,6,3,7]
[8,3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3,8]
[8,3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3,8]
[8,3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3,8]
[8,3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3,8]
[8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8]
[5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]
[6,4,3,2,5,1,8,7]=>[7,8,1,5,2,3,4,6]
[6,4,3,2,5,8,7,1]=>[1,7,8,5,2,3,4,6]
[8,4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4,8]
[7,4,3,2,6,5,1,8]=>[8,1,5,6,2,3,4,7]
[7,4,3,2,6,5,8,1]=>[1,8,5,6,2,3,4,7]
[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]
[8,4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4,8]
[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]
[6,4,3,5,2,1,8,7]=>[7,8,1,2,5,3,4,6]
[6,4,3,5,2,8,7,1]=>[1,7,8,2,5,3,4,6]
[8,4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4,8]
[8,4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4,8]
[7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]
[7,4,3,6,5,2,8,1]=>[1,8,2,5,6,3,4,7]
[8,4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4,8]
[8,4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4,8]
[8,4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4,8]
[8,4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4,8]
[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]
[6,5,3,4,2,8,7,1]=>[1,7,8,2,4,3,5,6]
[8,5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5,8]
[8,5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5,8]
[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]
[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]
[7,6,3,5,4,2,8,1]=>[1,8,2,4,5,3,6,7]
[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]
[8,6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6,8]
[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]
[8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]
[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]
[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]
[8,5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5,8]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]
[8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8]
[2,4,1,3,6,5,8,7]=>[7,8,5,6,3,1,4,2]
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]
[2,4,1,6,3,5,8,7]=>[7,8,5,3,6,1,4,2]
[2,4,6,1,3,5,8,7]=>[7,8,5,3,1,6,4,2]
[2,1,4,3,6,8,5,7]=>[7,5,8,6,3,4,1,2]
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]
[2,1,4,6,3,8,5,7]=>[7,5,8,3,6,4,1,2]
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]
[2,4,6,1,3,8,5,7]=>[7,5,8,3,1,6,4,2]
[2,1,4,6,8,3,5,7]=>[7,5,3,8,6,4,1,2]
[2,4,1,6,8,3,5,7]=>[7,5,3,8,6,1,4,2]
[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]
[2,4,1,3,6,5,7,8]=>[8,7,5,6,3,1,4,2]
[2,1,4,6,3,5,7,8]=>[8,7,5,3,6,4,1,2]
[2,4,1,6,3,5,7,8]=>[8,7,5,3,6,1,4,2]
[2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2]
[2,4,1,3,6,7,5,8]=>[8,5,7,6,3,1,4,2]
[2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]
[2,4,6,1,3,7,5,8]=>[8,5,7,3,1,6,4,2]
[2,1,4,6,7,3,5,8]=>[8,5,3,7,6,4,1,2]
[2,4,1,6,7,3,5,8]=>[8,5,3,7,6,1,4,2]
[2,4,6,1,7,3,5,8]=>[8,5,3,7,1,6,4,2]
[2,4,6,7,1,3,5,8]=>[8,5,3,1,7,6,4,2]
[2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]
[2,1,4,6,3,7,8,5]=>[5,8,7,3,6,4,1,2]
[2,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,2]
[2,4,6,1,3,7,8,5]=>[5,8,7,3,1,6,4,2]
[2,1,4,6,7,3,8,5]=>[5,8,3,7,6,4,1,2]
[2,4,1,6,7,3,8,5]=>[5,8,3,7,6,1,4,2]
[2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]
[2,4,6,7,1,3,8,5]=>[5,8,3,1,7,6,4,2]
[2,1,4,6,7,8,3,5]=>[5,3,8,7,6,4,1,2]
[2,4,1,6,7,8,3,5]=>[5,3,8,7,6,1,4,2]
[2,4,6,1,7,8,3,5]=>[5,3,8,7,1,6,4,2]
[2,4,6,7,1,8,3,5]=>[5,3,8,1,7,6,4,2]
[2,4,6,7,8,1,3,5]=>[5,3,1,8,7,6,4,2]
[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]
[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]
[2,1,4,7,3,5,8,6]=>[6,8,5,3,7,4,1,2]
[2,4,1,7,3,5,8,6]=>[6,8,5,3,7,1,4,2]
[2,4,7,1,3,5,8,6]=>[6,8,5,3,1,7,4,2]
[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]
[2,4,1,3,7,8,5,6]=>[6,5,8,7,3,1,4,2]
[2,1,4,7,3,8,5,6]=>[6,5,8,3,7,4,1,2]
[2,4,1,7,3,8,5,6]=>[6,5,8,3,7,1,4,2]
[2,4,7,1,3,8,5,6]=>[6,5,8,3,1,7,4,2]
[2,1,4,7,8,3,5,6]=>[6,5,3,8,7,4,1,2]
[2,4,1,7,8,3,5,6]=>[6,5,3,8,7,1,4,2]
[2,4,7,1,8,3,5,6]=>[6,5,3,8,1,7,4,2]
[2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]
[2,1,4,3,7,5,6,8]=>[8,6,5,7,3,4,1,2]
[2,4,1,3,7,5,6,8]=>[8,6,5,7,3,1,4,2]
[2,1,4,7,3,5,6,8]=>[8,6,5,3,7,4,1,2]
[2,4,1,7,3,5,6,8]=>[8,6,5,3,7,1,4,2]
[2,4,7,1,3,5,6,8]=>[8,6,5,3,1,7,4,2]
[2,4,1,3,5,7,6,8]=>[8,6,7,5,3,1,4,2]
[2,4,1,5,3,7,6,8]=>[8,6,7,3,5,1,4,2]
[2,4,5,1,3,7,6,8]=>[8,6,7,3,1,5,4,2]
[2,1,4,5,7,3,6,8]=>[8,6,3,7,5,4,1,2]
[2,4,1,5,7,3,6,8]=>[8,6,3,7,5,1,4,2]
[2,4,5,1,7,3,6,8]=>[8,6,3,7,1,5,4,2]
[2,4,5,7,1,3,6,8]=>[8,6,3,1,7,5,4,2]
[2,4,1,3,5,7,8,6]=>[6,8,7,5,3,1,4,2]
[2,4,1,5,3,7,8,6]=>[6,8,7,3,5,1,4,2]
[2,4,5,1,3,7,8,6]=>[6,8,7,3,1,5,4,2]
[2,1,4,5,7,3,8,6]=>[6,8,3,7,5,4,1,2]
[2,4,1,5,7,3,8,6]=>[6,8,3,7,5,1,4,2]
[2,4,5,1,7,3,8,6]=>[6,8,3,7,1,5,4,2]
[2,4,5,7,1,3,8,6]=>[6,8,3,1,7,5,4,2]
[2,1,4,5,7,8,3,6]=>[6,3,8,7,5,4,1,2]
[2,4,1,5,7,8,3,6]=>[6,3,8,7,5,1,4,2]
[2,4,5,1,7,8,3,6]=>[6,3,8,7,1,5,4,2]
[2,4,5,7,1,8,3,6]=>[6,3,8,1,7,5,4,2]
[2,4,5,7,8,1,3,6]=>[6,3,1,8,7,5,4,2]
[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]
[2,4,1,3,8,5,6,7]=>[7,6,5,8,3,1,4,2]
[2,1,4,8,3,5,6,7]=>[7,6,5,3,8,4,1,2]
[2,4,1,8,3,5,6,7]=>[7,6,5,3,8,1,4,2]
[2,4,8,1,3,5,6,7]=>[7,6,5,3,1,8,4,2]
[2,1,4,3,5,8,6,7]=>[7,6,8,5,3,4,1,2]
[2,4,1,3,5,8,6,7]=>[7,6,8,5,3,1,4,2]
[2,1,4,5,3,8,6,7]=>[7,6,8,3,5,4,1,2]
[2,4,1,5,3,8,6,7]=>[7,6,8,3,5,1,4,2]
[2,4,5,1,3,8,6,7]=>[7,6,8,3,1,5,4,2]
[2,1,4,5,8,3,6,7]=>[7,6,3,8,5,4,1,2]
[2,4,1,5,8,3,6,7]=>[7,6,3,8,5,1,4,2]
[2,4,5,1,8,3,6,7]=>[7,6,3,8,1,5,4,2]
[2,4,5,8,1,3,6,7]=>[7,6,3,1,8,5,4,2]
[2,4,1,3,5,6,8,7]=>[7,8,6,5,3,1,4,2]
[2,4,1,5,3,6,8,7]=>[7,8,6,3,5,1,4,2]
[2,4,5,1,3,6,8,7]=>[7,8,6,3,1,5,4,2]
[2,4,1,5,6,3,8,7]=>[7,8,3,6,5,1,4,2]
[2,4,5,1,6,3,8,7]=>[7,8,3,6,1,5,4,2]
[2,4,5,6,1,3,8,7]=>[7,8,3,1,6,5,4,2]
[2,1,4,5,6,8,3,7]=>[7,3,8,6,5,4,1,2]
[2,4,1,5,6,8,3,7]=>[7,3,8,6,5,1,4,2]
[2,4,5,1,6,8,3,7]=>[7,3,8,6,1,5,4,2]
[2,4,5,6,1,8,3,7]=>[7,3,8,1,6,5,4,2]
[2,4,5,6,8,1,3,7]=>[7,3,1,8,6,5,4,2]
[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]
[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]
[2,4,5,1,3,6,7,8]=>[8,7,6,3,1,5,4,2]
[2,4,1,5,6,3,7,8]=>[8,7,3,6,5,1,4,2]
[2,4,5,1,6,3,7,8]=>[8,7,3,6,1,5,4,2]
[2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]
[2,4,1,5,6,7,3,8]=>[8,3,7,6,5,1,4,2]
[2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]
[2,4,5,6,1,7,3,8]=>[8,3,7,1,6,5,4,2]
[2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]
[2,4,1,5,6,7,8,3]=>[3,8,7,6,5,1,4,2]
[2,4,5,1,6,7,8,3]=>[3,8,7,6,1,5,4,2]
[2,4,5,6,1,7,8,3]=>[3,8,7,1,6,5,4,2]
[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]
[2,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,2]
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]
[2,5,1,3,6,4,8,7]=>[7,8,4,6,3,1,5,2]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]
[2,5,1,6,3,4,8,7]=>[7,8,4,3,6,1,5,2]
[2,5,6,1,3,4,8,7]=>[7,8,4,3,1,6,5,2]
[2,1,5,3,6,8,4,7]=>[7,4,8,6,3,5,1,2]
[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]
[2,1,5,6,3,8,4,7]=>[7,4,8,3,6,5,1,2]
[2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]
[2,5,6,1,3,8,4,7]=>[7,4,8,3,1,6,5,2]
[2,1,5,6,8,3,4,7]=>[7,4,3,8,6,5,1,2]
[2,5,1,6,8,3,4,7]=>[7,4,3,8,6,1,5,2]
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]
[2,1,5,3,6,4,7,8]=>[8,7,4,6,3,5,1,2]
[2,5,1,3,6,4,7,8]=>[8,7,4,6,3,1,5,2]
[2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]
[2,5,1,6,3,4,7,8]=>[8,7,4,3,6,1,5,2]
[2,5,6,1,3,4,7,8]=>[8,7,4,3,1,6,5,2]
[2,1,5,3,6,7,4,8]=>[8,4,7,6,3,5,1,2]
[2,5,1,3,6,7,4,8]=>[8,4,7,6,3,1,5,2]
[2,1,5,6,3,7,4,8]=>[8,4,7,3,6,5,1,2]
[2,5,1,6,3,7,4,8]=>[8,4,7,3,6,1,5,2]
[2,5,6,1,3,7,4,8]=>[8,4,7,3,1,6,5,2]
[2,1,5,6,7,3,4,8]=>[8,4,3,7,6,5,1,2]
[2,5,1,6,7,3,4,8]=>[8,4,3,7,6,1,5,2]
[2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]
[2,5,6,7,1,3,4,8]=>[8,4,3,1,7,6,5,2]
[2,1,5,3,6,7,8,4]=>[4,8,7,6,3,5,1,2]
[2,5,1,3,6,7,8,4]=>[4,8,7,6,3,1,5,2]
[2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]
[2,5,1,6,3,7,8,4]=>[4,8,7,3,6,1,5,2]
[2,5,6,1,3,7,8,4]=>[4,8,7,3,1,6,5,2]
[2,1,5,6,7,3,8,4]=>[4,8,3,7,6,5,1,2]
[2,5,1,6,7,3,8,4]=>[4,8,3,7,6,1,5,2]
[2,5,6,1,7,3,8,4]=>[4,8,3,7,1,6,5,2]
[2,5,6,7,1,3,8,4]=>[4,8,3,1,7,6,5,2]
[2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]
[2,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,2]
[2,5,6,1,7,8,3,4]=>[4,3,8,7,1,6,5,2]
[2,5,6,7,1,8,3,4]=>[4,3,8,1,7,6,5,2]
[2,5,6,7,8,1,3,4]=>[4,3,1,8,7,6,5,2]
[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]
[2,5,1,3,7,4,8,6]=>[6,8,4,7,3,1,5,2]
[2,1,5,7,3,4,8,6]=>[6,8,4,3,7,5,1,2]
[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]
[2,5,7,1,3,4,8,6]=>[6,8,4,3,1,7,5,2]
[2,1,5,3,7,8,4,6]=>[6,4,8,7,3,5,1,2]
[2,5,1,3,7,8,4,6]=>[6,4,8,7,3,1,5,2]
[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]
[2,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,2]
[2,5,7,1,3,8,4,6]=>[6,4,8,3,1,7,5,2]
[2,1,5,7,8,3,4,6]=>[6,4,3,8,7,5,1,2]
[2,5,1,7,8,3,4,6]=>[6,4,3,8,7,1,5,2]
[2,5,7,1,8,3,4,6]=>[6,4,3,8,1,7,5,2]
[2,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,2]
[2,1,5,3,7,4,6,8]=>[8,6,4,7,3,5,1,2]
[2,5,1,3,7,4,6,8]=>[8,6,4,7,3,1,5,2]
[2,5,1,7,3,4,6,8]=>[8,6,4,3,7,1,5,2]
[2,5,7,1,3,4,6,8]=>[8,6,4,3,1,7,5,2]
[2,1,5,3,4,7,6,8]=>[8,6,7,4,3,5,1,2]
[2,5,1,3,4,7,6,8]=>[8,6,7,4,3,1,5,2]
[2,3,5,1,4,7,6,8]=>[8,6,7,4,1,5,3,2]
[2,1,3,5,7,4,6,8]=>[8,6,4,7,5,3,1,2]
[2,3,1,5,7,4,6,8]=>[8,6,4,7,5,1,3,2]
[2,3,5,1,7,4,6,8]=>[8,6,4,7,1,5,3,2]
[2,3,5,7,1,4,6,8]=>[8,6,4,1,7,5,3,2]
[2,1,5,3,4,7,8,6]=>[6,8,7,4,3,5,1,2]
[2,5,1,3,4,7,8,6]=>[6,8,7,4,3,1,5,2]
[2,3,5,1,4,7,8,6]=>[6,8,7,4,1,5,3,2]
[2,1,3,5,7,4,8,6]=>[6,8,4,7,5,3,1,2]
[2,3,1,5,7,4,8,6]=>[6,8,4,7,5,1,3,2]
[2,3,5,1,7,4,8,6]=>[6,8,4,7,1,5,3,2]
[2,3,5,7,1,4,8,6]=>[6,8,4,1,7,5,3,2]
[2,1,3,5,7,8,4,6]=>[6,4,8,7,5,3,1,2]
[2,3,1,5,7,8,4,6]=>[6,4,8,7,5,1,3,2]
[2,3,5,1,7,8,4,6]=>[6,4,8,7,1,5,3,2]
[2,3,5,7,1,8,4,6]=>[6,4,8,1,7,5,3,2]
[2,3,5,7,8,1,4,6]=>[6,4,1,8,7,5,3,2]
[2,1,5,3,8,4,6,7]=>[7,6,4,8,3,5,1,2]
[2,5,1,3,8,4,6,7]=>[7,6,4,8,3,1,5,2]
[2,1,5,8,3,4,6,7]=>[7,6,4,3,8,5,1,2]
[2,5,1,8,3,4,6,7]=>[7,6,4,3,8,1,5,2]
[2,5,8,1,3,4,6,7]=>[7,6,4,3,1,8,5,2]
[2,1,5,3,4,8,6,7]=>[7,6,8,4,3,5,1,2]
[2,5,1,3,4,8,6,7]=>[7,6,8,4,3,1,5,2]
[2,1,3,5,4,8,6,7]=>[7,6,8,4,5,3,1,2]
[2,3,1,5,4,8,6,7]=>[7,6,8,4,5,1,3,2]
[2,3,5,1,4,8,6,7]=>[7,6,8,4,1,5,3,2]
[2,1,3,5,8,4,6,7]=>[7,6,4,8,5,3,1,2]
[2,3,1,5,8,4,6,7]=>[7,6,4,8,5,1,3,2]
[2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]
[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]
[2,1,5,3,4,6,8,7]=>[7,8,6,4,3,5,1,2]
[2,5,1,3,4,6,8,7]=>[7,8,6,4,3,1,5,2]
[2,3,5,1,4,6,8,7]=>[7,8,6,4,1,5,3,2]
[2,3,5,1,6,4,8,7]=>[7,8,4,6,1,5,3,2]
[2,3,5,6,1,4,8,7]=>[7,8,4,1,6,5,3,2]
[2,1,3,5,6,8,4,7]=>[7,4,8,6,5,3,1,2]
[2,3,1,5,6,8,4,7]=>[7,4,8,6,5,1,3,2]
[2,3,5,1,6,8,4,7]=>[7,4,8,6,1,5,3,2]
[2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]
[2,3,5,6,8,1,4,7]=>[7,4,1,8,6,5,3,2]
[2,1,5,3,4,6,7,8]=>[8,7,6,4,3,5,1,2]
[2,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,2]
[2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2]
[2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]
[2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]
[2,3,5,1,6,7,4,8]=>[8,4,7,6,1,5,3,2]
[2,3,5,6,1,7,4,8]=>[8,4,7,1,6,5,3,2]
[2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2]
[2,3,5,1,6,7,8,4]=>[4,8,7,6,1,5,3,2]
[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]
[2,3,5,6,7,1,8,4]=>[4,8,1,7,6,5,3,2]
[2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]
[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]
[2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]
[2,1,6,7,3,4,8,5]=>[5,8,4,3,7,6,1,2]
[2,6,1,7,3,4,8,5]=>[5,8,4,3,7,1,6,2]
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]
[2,1,6,3,7,8,4,5]=>[5,4,8,7,3,6,1,2]
[2,6,1,3,7,8,4,5]=>[5,4,8,7,3,1,6,2]
[2,1,6,7,3,8,4,5]=>[5,4,8,3,7,6,1,2]
[2,6,1,7,3,8,4,5]=>[5,4,8,3,7,1,6,2]
[2,6,7,1,3,8,4,5]=>[5,4,8,3,1,7,6,2]
[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]
[2,6,1,7,8,3,4,5]=>[5,4,3,8,7,1,6,2]
[2,6,7,1,8,3,4,5]=>[5,4,3,8,1,7,6,2]
[2,6,7,8,1,3,4,5]=>[5,4,3,1,8,7,6,2]
[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]
[2,6,1,3,7,4,5,8]=>[8,5,4,7,3,1,6,2]
[2,1,6,7,3,4,5,8]=>[8,5,4,3,7,6,1,2]
[2,6,1,7,3,4,5,8]=>[8,5,4,3,7,1,6,2]
[2,6,7,1,3,4,5,8]=>[8,5,4,3,1,7,6,2]
[2,1,6,3,4,7,5,8]=>[8,5,7,4,3,6,1,2]
[2,6,1,3,4,7,5,8]=>[8,5,7,4,3,1,6,2]
[2,1,3,6,4,7,5,8]=>[8,5,7,4,6,3,1,2]
[2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]
[2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]
[2,1,3,6,7,4,5,8]=>[8,5,4,7,6,3,1,2]
[2,3,1,6,7,4,5,8]=>[8,5,4,7,6,1,3,2]
[2,3,6,1,7,4,5,8]=>[8,5,4,7,1,6,3,2]
[2,3,6,7,1,4,5,8]=>[8,5,4,1,7,6,3,2]
[2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]
[2,6,1,3,4,7,8,5]=>[5,8,7,4,3,1,6,2]
[2,1,3,6,4,7,8,5]=>[5,8,7,4,6,3,1,2]
[2,3,1,6,4,7,8,5]=>[5,8,7,4,6,1,3,2]
[2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2]
[2,1,3,6,7,4,8,5]=>[5,8,4,7,6,3,1,2]
[2,3,1,6,7,4,8,5]=>[5,8,4,7,6,1,3,2]
[2,3,6,1,7,4,8,5]=>[5,8,4,7,1,6,3,2]
[2,3,6,7,1,4,8,5]=>[5,8,4,1,7,6,3,2]
[2,1,3,6,7,8,4,5]=>[5,4,8,7,6,3,1,2]
[2,3,1,6,7,8,4,5]=>[5,4,8,7,6,1,3,2]
[2,3,6,1,7,8,4,5]=>[5,4,8,7,1,6,3,2]
[2,3,6,7,1,8,4,5]=>[5,4,8,1,7,6,3,2]
[2,3,6,7,8,1,4,5]=>[5,4,1,8,7,6,3,2]
[2,1,6,3,8,4,5,7]=>[7,5,4,8,3,6,1,2]
[2,6,1,3,8,4,5,7]=>[7,5,4,8,3,1,6,2]
[2,1,6,8,3,4,5,7]=>[7,5,4,3,8,6,1,2]
[2,6,1,8,3,4,5,7]=>[7,5,4,3,8,1,6,2]
[2,6,8,1,3,4,5,7]=>[7,5,4,3,1,8,6,2]
[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]
[2,6,1,3,4,8,5,7]=>[7,5,8,4,3,1,6,2]
[2,1,3,6,4,8,5,7]=>[7,5,8,4,6,3,1,2]
[2,3,1,6,4,8,5,7]=>[7,5,8,4,6,1,3,2]
[2,3,6,1,4,8,5,7]=>[7,5,8,4,1,6,3,2]
[2,1,3,6,8,4,5,7]=>[7,5,4,8,6,3,1,2]
[2,3,1,6,8,4,5,7]=>[7,5,4,8,6,1,3,2]
[2,3,6,1,8,4,5,7]=>[7,5,4,8,1,6,3,2]
[2,3,6,8,1,4,5,7]=>[7,5,4,1,8,6,3,2]
[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]
[2,6,1,3,4,5,8,7]=>[7,8,5,4,3,1,6,2]
[2,1,3,6,4,5,8,7]=>[7,8,5,4,6,3,1,2]
[2,3,1,6,4,5,8,7]=>[7,8,5,4,6,1,3,2]
[2,3,6,1,4,5,8,7]=>[7,8,5,4,1,6,3,2]
[2,3,4,6,1,5,8,7]=>[7,8,5,1,6,4,3,2]
[2,1,3,4,6,8,5,7]=>[7,5,8,6,4,3,1,2]
[2,3,1,4,6,8,5,7]=>[7,5,8,6,4,1,3,2]
[2,3,4,1,6,8,5,7]=>[7,5,8,6,1,4,3,2]
[2,3,4,6,1,8,5,7]=>[7,5,8,1,6,4,3,2]
[2,3,4,6,8,1,5,7]=>[7,5,1,8,6,4,3,2]
[2,1,6,3,4,5,7,8]=>[8,7,5,4,3,6,1,2]
[2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]
[2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]
[2,3,1,6,4,5,7,8]=>[8,7,5,4,6,1,3,2]
[2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]
[2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2]
[2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]
[2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]
[2,3,4,6,1,7,8,5]=>[5,8,7,1,6,4,3,2]
[2,3,4,6,7,1,8,5]=>[5,8,1,7,6,4,3,2]
[2,3,4,6,7,8,1,5]=>[5,1,8,7,6,4,3,2]
[2,1,7,3,8,4,5,6]=>[6,5,4,8,3,7,1,2]
[2,7,1,3,8,4,5,6]=>[6,5,4,8,3,1,7,2]
[2,1,7,8,3,4,5,6]=>[6,5,4,3,8,7,1,2]
[2,7,1,8,3,4,5,6]=>[6,5,4,3,8,1,7,2]
[2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]
[2,1,7,3,4,8,5,6]=>[6,5,8,4,3,7,1,2]
[2,7,1,3,4,8,5,6]=>[6,5,8,4,3,1,7,2]
[2,1,3,7,4,8,5,6]=>[6,5,8,4,7,3,1,2]
[2,3,1,7,4,8,5,6]=>[6,5,8,4,7,1,3,2]
[2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]
[2,1,3,7,8,4,5,6]=>[6,5,4,8,7,3,1,2]
[2,3,1,7,8,4,5,6]=>[6,5,4,8,7,1,3,2]
[2,3,7,1,8,4,5,6]=>[6,5,4,8,1,7,3,2]
[2,3,7,8,1,4,5,6]=>[6,5,4,1,8,7,3,2]
[2,1,7,3,4,5,8,6]=>[6,8,5,4,3,7,1,2]
[2,7,1,3,4,5,8,6]=>[6,8,5,4,3,1,7,2]
[2,1,3,7,4,5,8,6]=>[6,8,5,4,7,3,1,2]
[2,3,1,7,4,5,8,6]=>[6,8,5,4,7,1,3,2]
[2,3,7,1,4,5,8,6]=>[6,8,5,4,1,7,3,2]
[2,1,3,4,7,5,8,6]=>[6,8,5,7,4,3,1,2]
[2,3,1,4,7,5,8,6]=>[6,8,5,7,4,1,3,2]
[2,3,4,1,7,5,8,6]=>[6,8,5,7,1,4,3,2]
[2,3,4,7,1,5,8,6]=>[6,8,5,1,7,4,3,2]
[2,1,3,4,7,8,5,6]=>[6,5,8,7,4,3,1,2]
[2,3,1,4,7,8,5,6]=>[6,5,8,7,4,1,3,2]
[2,3,4,1,7,8,5,6]=>[6,5,8,7,1,4,3,2]
[2,3,4,7,1,8,5,6]=>[6,5,8,1,7,4,3,2]
[2,3,4,7,8,1,5,6]=>[6,5,1,8,7,4,3,2]
[2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]
[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]
[2,1,3,7,4,5,6,8]=>[8,6,5,4,7,3,1,2]
[2,3,1,7,4,5,6,8]=>[8,6,5,4,7,1,3,2]
[2,3,7,1,4,5,6,8]=>[8,6,5,4,1,7,3,2]
[2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]
[2,3,1,4,7,5,6,8]=>[8,6,5,7,4,1,3,2]
[2,3,4,1,7,5,6,8]=>[8,6,5,7,1,4,3,2]
[2,3,4,7,1,5,6,8]=>[8,6,5,1,7,4,3,2]
[2,3,4,5,7,1,6,8]=>[8,6,1,7,5,4,3,2]
[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]
[2,3,4,5,7,8,1,6]=>[6,1,8,7,5,4,3,2]
[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]
[2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2]
[2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]
[2,3,1,8,4,5,6,7]=>[7,6,5,4,8,1,3,2]
[2,3,8,1,4,5,6,7]=>[7,6,5,4,1,8,3,2]
[2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]
[2,3,1,4,8,5,6,7]=>[7,6,5,8,4,1,3,2]
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]
[2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2]
[2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]
[2,3,4,1,5,8,6,7]=>[7,6,8,5,1,4,3,2]
[2,3,4,5,1,8,6,7]=>[7,6,8,1,5,4,3,2]
[2,3,4,5,8,1,6,7]=>[7,6,1,8,5,4,3,2]
[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]
[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]
[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]
[3,1,4,6,2,5,8,7]=>[7,8,5,2,6,4,1,3]
[3,4,1,6,2,5,8,7]=>[7,8,5,2,6,1,4,3]
[3,4,6,1,2,5,8,7]=>[7,8,5,2,1,6,4,3]
[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]
[3,4,1,2,6,8,5,7]=>[7,5,8,6,2,1,4,3]
[3,1,4,6,2,8,5,7]=>[7,5,8,2,6,4,1,3]
[3,4,1,6,2,8,5,7]=>[7,5,8,2,6,1,4,3]
[3,4,6,1,2,8,5,7]=>[7,5,8,2,1,6,4,3]
[3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]
[3,4,1,6,8,2,5,7]=>[7,5,2,8,6,1,4,3]
[3,4,6,1,8,2,5,7]=>[7,5,2,8,1,6,4,3]
[3,4,6,8,1,2,5,7]=>[7,5,2,1,8,6,4,3]
[3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]
[3,4,1,2,6,5,7,8]=>[8,7,5,6,2,1,4,3]
[3,1,4,6,2,5,7,8]=>[8,7,5,2,6,4,1,3]
[3,4,1,6,2,5,7,8]=>[8,7,5,2,6,1,4,3]
[3,4,6,1,2,5,7,8]=>[8,7,5,2,1,6,4,3]
[3,1,4,2,6,7,5,8]=>[8,5,7,6,2,4,1,3]
[3,4,1,2,6,7,5,8]=>[8,5,7,6,2,1,4,3]
[3,1,4,6,2,7,5,8]=>[8,5,7,2,6,4,1,3]
[3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]
[3,4,6,1,2,7,5,8]=>[8,5,7,2,1,6,4,3]
[3,1,4,6,7,2,5,8]=>[8,5,2,7,6,4,1,3]
[3,4,1,6,7,2,5,8]=>[8,5,2,7,6,1,4,3]
[3,4,6,1,7,2,5,8]=>[8,5,2,7,1,6,4,3]
[3,4,6,7,1,2,5,8]=>[8,5,2,1,7,6,4,3]
[3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]
[3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]
[3,1,4,6,2,7,8,5]=>[5,8,7,2,6,4,1,3]
[3,4,1,6,2,7,8,5]=>[5,8,7,2,6,1,4,3]
[3,4,6,1,2,7,8,5]=>[5,8,7,2,1,6,4,3]
[3,1,4,6,7,2,8,5]=>[5,8,2,7,6,4,1,3]
[3,4,1,6,7,2,8,5]=>[5,8,2,7,6,1,4,3]
[3,4,6,1,7,2,8,5]=>[5,8,2,7,1,6,4,3]
[3,4,6,7,1,2,8,5]=>[5,8,2,1,7,6,4,3]
[3,1,4,6,7,8,2,5]=>[5,2,8,7,6,4,1,3]
[3,4,1,6,7,8,2,5]=>[5,2,8,7,6,1,4,3]
[3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]
[3,4,6,7,1,8,2,5]=>[5,2,8,1,7,6,4,3]
[3,4,6,7,8,1,2,5]=>[5,2,1,8,7,6,4,3]
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]
[3,4,1,2,7,5,8,6]=>[6,8,5,7,2,1,4,3]
[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]
[3,4,1,7,2,5,8,6]=>[6,8,5,2,7,1,4,3]
[3,4,7,1,2,5,8,6]=>[6,8,5,2,1,7,4,3]
[3,1,4,2,7,8,5,6]=>[6,5,8,7,2,4,1,3]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]
[3,1,4,7,2,8,5,6]=>[6,5,8,2,7,4,1,3]
[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]
[3,4,7,1,2,8,5,6]=>[6,5,8,2,1,7,4,3]
[3,1,4,7,8,2,5,6]=>[6,5,2,8,7,4,1,3]
[3,4,1,7,8,2,5,6]=>[6,5,2,8,7,1,4,3]
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]
[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]
[3,1,4,2,7,5,6,8]=>[8,6,5,7,2,4,1,3]
[3,4,1,2,7,5,6,8]=>[8,6,5,7,2,1,4,3]
[3,1,4,7,2,5,6,8]=>[8,6,5,2,7,4,1,3]
[3,4,1,7,2,5,6,8]=>[8,6,5,2,7,1,4,3]
[3,4,7,1,2,5,6,8]=>[8,6,5,2,1,7,4,3]
[3,1,4,2,5,7,6,8]=>[8,6,7,5,2,4,1,3]
[3,4,1,2,5,7,6,8]=>[8,6,7,5,2,1,4,3]
[3,1,4,5,2,7,6,8]=>[8,6,7,2,5,4,1,3]
[3,4,1,5,2,7,6,8]=>[8,6,7,2,5,1,4,3]
[3,4,5,1,2,7,6,8]=>[8,6,7,2,1,5,4,3]
[3,1,4,5,7,2,6,8]=>[8,6,2,7,5,4,1,3]
[3,4,1,5,7,2,6,8]=>[8,6,2,7,5,1,4,3]
[3,4,5,1,7,2,6,8]=>[8,6,2,7,1,5,4,3]
[3,4,5,7,1,2,6,8]=>[8,6,2,1,7,5,4,3]
[3,1,4,2,5,7,8,6]=>[6,8,7,5,2,4,1,3]
[3,4,1,2,5,7,8,6]=>[6,8,7,5,2,1,4,3]
[3,1,4,5,2,7,8,6]=>[6,8,7,2,5,4,1,3]
[3,4,1,5,2,7,8,6]=>[6,8,7,2,5,1,4,3]
[3,4,5,1,2,7,8,6]=>[6,8,7,2,1,5,4,3]
[3,1,4,5,7,2,8,6]=>[6,8,2,7,5,4,1,3]
[3,4,1,5,7,2,8,6]=>[6,8,2,7,5,1,4,3]
[3,4,5,1,7,2,8,6]=>[6,8,2,7,1,5,4,3]
[3,4,5,7,1,2,8,6]=>[6,8,2,1,7,5,4,3]
[3,1,4,5,7,8,2,6]=>[6,2,8,7,5,4,1,3]
[3,4,1,5,7,8,2,6]=>[6,2,8,7,5,1,4,3]
[3,4,5,1,7,8,2,6]=>[6,2,8,7,1,5,4,3]
[3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3]
[3,4,5,7,8,1,2,6]=>[6,2,1,8,7,5,4,3]
[3,1,4,2,8,5,6,7]=>[7,6,5,8,2,4,1,3]
[3,4,1,2,8,5,6,7]=>[7,6,5,8,2,1,4,3]
[3,1,4,8,2,5,6,7]=>[7,6,5,2,8,4,1,3]
[3,4,1,8,2,5,6,7]=>[7,6,5,2,8,1,4,3]
[3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3]
[3,1,4,2,5,8,6,7]=>[7,6,8,5,2,4,1,3]
[3,4,1,2,5,8,6,7]=>[7,6,8,5,2,1,4,3]
[3,1,4,5,2,8,6,7]=>[7,6,8,2,5,4,1,3]
[3,4,1,5,2,8,6,7]=>[7,6,8,2,5,1,4,3]
[3,4,5,1,2,8,6,7]=>[7,6,8,2,1,5,4,3]
[3,1,4,5,8,2,6,7]=>[7,6,2,8,5,4,1,3]
[3,4,1,5,8,2,6,7]=>[7,6,2,8,5,1,4,3]
[3,4,5,1,8,2,6,7]=>[7,6,2,8,1,5,4,3]
[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]
[3,1,4,2,5,6,8,7]=>[7,8,6,5,2,4,1,3]
[3,4,1,2,5,6,8,7]=>[7,8,6,5,2,1,4,3]
[3,1,4,5,2,6,8,7]=>[7,8,6,2,5,4,1,3]
[3,4,1,5,2,6,8,7]=>[7,8,6,2,5,1,4,3]
[3,4,5,1,2,6,8,7]=>[7,8,6,2,1,5,4,3]
[3,1,4,5,6,2,8,7]=>[7,8,2,6,5,4,1,3]
[3,4,1,5,6,2,8,7]=>[7,8,2,6,5,1,4,3]
[3,4,5,1,6,2,8,7]=>[7,8,2,6,1,5,4,3]
[3,4,5,6,1,2,8,7]=>[7,8,2,1,6,5,4,3]
[3,1,4,5,6,8,2,7]=>[7,2,8,6,5,4,1,3]
[3,4,1,5,6,8,2,7]=>[7,2,8,6,5,1,4,3]
[3,4,5,1,6,8,2,7]=>[7,2,8,6,1,5,4,3]
[3,4,5,6,1,8,2,7]=>[7,2,8,1,6,5,4,3]
[3,4,5,6,8,1,2,7]=>[7,2,1,8,6,5,4,3]
[3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]
[3,1,4,5,2,6,7,8]=>[8,7,6,2,5,4,1,3]
[3,4,1,5,2,6,7,8]=>[8,7,6,2,5,1,4,3]
[3,1,4,5,6,2,7,8]=>[8,7,2,6,5,4,1,3]
[3,4,1,5,6,2,7,8]=>[8,7,2,6,5,1,4,3]
[3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]
[3,1,4,5,6,7,2,8]=>[8,2,7,6,5,4,1,3]
[3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]
[3,4,5,1,6,7,2,8]=>[8,2,7,6,1,5,4,3]
[3,4,5,6,1,7,2,8]=>[8,2,7,1,6,5,4,3]
[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]
[3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3]
[3,4,5,1,6,7,8,2]=>[2,8,7,6,1,5,4,3]
[3,4,5,6,1,7,8,2]=>[2,8,7,1,6,5,4,3]
[3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3]
[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]
[3,5,1,2,6,4,8,7]=>[7,8,4,6,2,1,5,3]
[3,1,5,6,2,4,8,7]=>[7,8,4,2,6,5,1,3]
[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]
[3,5,6,1,2,4,8,7]=>[7,8,4,2,1,6,5,3]
[3,1,5,2,6,8,4,7]=>[7,4,8,6,2,5,1,3]
[3,5,1,2,6,8,4,7]=>[7,4,8,6,2,1,5,3]
[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]
[3,5,1,6,2,8,4,7]=>[7,4,8,2,6,1,5,3]
[3,5,6,1,2,8,4,7]=>[7,4,8,2,1,6,5,3]
[3,1,5,6,8,2,4,7]=>[7,4,2,8,6,5,1,3]
[3,5,1,6,8,2,4,7]=>[7,4,2,8,6,1,5,3]
[3,5,6,1,8,2,4,7]=>[7,4,2,8,1,6,5,3]
[3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]
[3,1,5,2,6,4,7,8]=>[8,7,4,6,2,5,1,3]
[3,5,1,2,6,4,7,8]=>[8,7,4,6,2,1,5,3]
[3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3]
[3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]
[3,5,6,1,2,4,7,8]=>[8,7,4,2,1,6,5,3]
[3,1,5,2,6,7,4,8]=>[8,4,7,6,2,5,1,3]
[3,5,1,2,6,7,4,8]=>[8,4,7,6,2,1,5,3]
[3,1,5,6,2,7,4,8]=>[8,4,7,2,6,5,1,3]
[3,5,1,6,2,7,4,8]=>[8,4,7,2,6,1,5,3]
[3,5,6,1,2,7,4,8]=>[8,4,7,2,1,6,5,3]
[3,1,5,6,7,2,4,8]=>[8,4,2,7,6,5,1,3]
[3,5,1,6,7,2,4,8]=>[8,4,2,7,6,1,5,3]
[3,5,6,1,7,2,4,8]=>[8,4,2,7,1,6,5,3]
[3,5,6,7,1,2,4,8]=>[8,4,2,1,7,6,5,3]
[3,1,5,2,6,7,8,4]=>[4,8,7,6,2,5,1,3]
[3,5,1,2,6,7,8,4]=>[4,8,7,6,2,1,5,3]
[3,1,5,6,2,7,8,4]=>[4,8,7,2,6,5,1,3]
[3,5,1,6,2,7,8,4]=>[4,8,7,2,6,1,5,3]
[3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]
[3,1,5,6,7,2,8,4]=>[4,8,2,7,6,5,1,3]
[3,5,1,6,7,2,8,4]=>[4,8,2,7,6,1,5,3]
[3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]
[3,5,6,7,1,2,8,4]=>[4,8,2,1,7,6,5,3]
[3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3]
[3,5,1,6,7,8,2,4]=>[4,2,8,7,6,1,5,3]
[3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]
[3,5,6,7,1,8,2,4]=>[4,2,8,1,7,6,5,3]
[3,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,3]
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]
[3,5,1,2,7,4,8,6]=>[6,8,4,7,2,1,5,3]
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]
[3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]
[3,5,7,1,2,4,8,6]=>[6,8,4,2,1,7,5,3]
[3,1,5,2,7,8,4,6]=>[6,4,8,7,2,5,1,3]
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]
[3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]
[3,5,7,1,2,8,4,6]=>[6,4,8,2,1,7,5,3]
[3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]
[3,5,1,7,8,2,4,6]=>[6,4,2,8,7,1,5,3]
[3,5,7,1,8,2,4,6]=>[6,4,2,8,1,7,5,3]
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]
[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]
[3,5,1,2,7,4,6,8]=>[8,6,4,7,2,1,5,3]
[3,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,3]
[3,5,1,7,2,4,6,8]=>[8,6,4,2,7,1,5,3]
[3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]
[3,1,5,2,4,7,6,8]=>[8,6,7,4,2,5,1,3]
[3,5,1,2,4,7,6,8]=>[8,6,7,4,2,1,5,3]
[3,1,2,5,4,7,6,8]=>[8,6,7,4,5,2,1,3]
[1,3,5,2,4,7,6,8]=>[8,6,7,4,2,5,3,1]
[3,1,2,5,7,4,6,8]=>[8,6,4,7,5,2,1,3]
[1,3,2,5,7,4,6,8]=>[8,6,4,7,5,2,3,1]
[1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]
[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]
[3,1,5,2,4,7,8,6]=>[6,8,7,4,2,5,1,3]
[3,5,1,2,4,7,8,6]=>[6,8,7,4,2,1,5,3]
[3,1,2,5,4,7,8,6]=>[6,8,7,4,5,2,1,3]
[1,3,5,2,4,7,8,6]=>[6,8,7,4,2,5,3,1]
[3,1,2,5,7,4,8,6]=>[6,8,4,7,5,2,1,3]
[1,3,2,5,7,4,8,6]=>[6,8,4,7,5,2,3,1]
[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]
[1,3,5,7,2,4,8,6]=>[6,8,4,2,7,5,3,1]
[3,1,2,5,7,8,4,6]=>[6,4,8,7,5,2,1,3]
[1,3,2,5,7,8,4,6]=>[6,4,8,7,5,2,3,1]
[1,3,5,2,7,8,4,6]=>[6,4,8,7,2,5,3,1]
[1,3,5,7,2,8,4,6]=>[6,4,8,2,7,5,3,1]
[1,3,5,7,8,2,4,6]=>[6,4,2,8,7,5,3,1]
[3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3]
[3,5,1,2,8,4,6,7]=>[7,6,4,8,2,1,5,3]
[3,1,5,8,2,4,6,7]=>[7,6,4,2,8,5,1,3]
[3,5,1,8,2,4,6,7]=>[7,6,4,2,8,1,5,3]
[3,5,8,1,2,4,6,7]=>[7,6,4,2,1,8,5,3]
[3,1,5,2,4,8,6,7]=>[7,6,8,4,2,5,1,3]
[3,5,1,2,4,8,6,7]=>[7,6,8,4,2,1,5,3]
[3,1,2,5,4,8,6,7]=>[7,6,8,4,5,2,1,3]
[1,3,2,5,4,8,6,7]=>[7,6,8,4,5,2,3,1]
[1,3,5,2,4,8,6,7]=>[7,6,8,4,2,5,3,1]
[3,1,2,5,8,4,6,7]=>[7,6,4,8,5,2,1,3]
[1,3,2,5,8,4,6,7]=>[7,6,4,8,5,2,3,1]
[1,3,5,2,8,4,6,7]=>[7,6,4,8,2,5,3,1]
[1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1]
[3,1,5,2,4,6,8,7]=>[7,8,6,4,2,5,1,3]
[3,5,1,2,4,6,8,7]=>[7,8,6,4,2,1,5,3]
[3,1,2,5,4,6,8,7]=>[7,8,6,4,5,2,1,3]
[1,3,5,2,4,6,8,7]=>[7,8,6,4,2,5,3,1]
[3,1,2,5,6,4,8,7]=>[7,8,4,6,5,2,1,3]
[1,3,5,2,6,4,8,7]=>[7,8,4,6,2,5,3,1]
[1,3,5,6,2,4,8,7]=>[7,8,4,2,6,5,3,1]
[3,1,2,5,6,8,4,7]=>[7,4,8,6,5,2,1,3]
[1,3,2,5,6,8,4,7]=>[7,4,8,6,5,2,3,1]
[1,3,5,2,6,8,4,7]=>[7,4,8,6,2,5,3,1]
[1,3,5,6,2,8,4,7]=>[7,4,8,2,6,5,3,1]
[1,3,5,6,8,2,4,7]=>[7,4,2,8,6,5,3,1]
[3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]
[3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]
[3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]
[1,3,5,2,4,6,7,8]=>[8,7,6,4,2,5,3,1]
[3,1,2,5,6,4,7,8]=>[8,7,4,6,5,2,1,3]
[1,3,5,2,6,4,7,8]=>[8,7,4,6,2,5,3,1]
[1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]
[3,1,2,5,6,7,4,8]=>[8,4,7,6,5,2,1,3]
[1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]
[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]
[1,3,5,6,7,2,4,8]=>[8,4,2,7,6,5,3,1]
[3,1,2,5,6,7,8,4]=>[4,8,7,6,5,2,1,3]
[1,3,5,2,6,7,8,4]=>[4,8,7,6,2,5,3,1]
[1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]
[1,3,5,6,7,2,8,4]=>[4,8,2,7,6,5,3,1]
[1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]
[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]
[3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]
[3,1,6,7,2,4,8,5]=>[5,8,4,2,7,6,1,3]
[3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]
[3,6,7,1,2,4,8,5]=>[5,8,4,2,1,7,6,3]
[3,1,6,2,7,8,4,5]=>[5,4,8,7,2,6,1,3]
[3,6,1,2,7,8,4,5]=>[5,4,8,7,2,1,6,3]
[3,1,6,7,2,8,4,5]=>[5,4,8,2,7,6,1,3]
[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]
[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]
[3,1,6,7,8,2,4,5]=>[5,4,2,8,7,6,1,3]
[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]
[3,6,7,1,8,2,4,5]=>[5,4,2,8,1,7,6,3]
[3,6,7,8,1,2,4,5]=>[5,4,2,1,8,7,6,3]
[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]
[3,6,1,2,7,4,5,8]=>[8,5,4,7,2,1,6,3]
[3,1,6,7,2,4,5,8]=>[8,5,4,2,7,6,1,3]
[3,6,1,7,2,4,5,8]=>[8,5,4,2,7,1,6,3]
[3,6,7,1,2,4,5,8]=>[8,5,4,2,1,7,6,3]
[3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]
[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]
[3,1,2,6,4,7,5,8]=>[8,5,7,4,6,2,1,3]
[1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]
[1,3,6,2,4,7,5,8]=>[8,5,7,4,2,6,3,1]
[3,1,2,6,7,4,5,8]=>[8,5,4,7,6,2,1,3]
[1,3,2,6,7,4,5,8]=>[8,5,4,7,6,2,3,1]
[1,3,6,2,7,4,5,8]=>[8,5,4,7,2,6,3,1]
[1,3,6,7,2,4,5,8]=>[8,5,4,2,7,6,3,1]
[3,1,6,2,4,7,8,5]=>[5,8,7,4,2,6,1,3]
[3,6,1,2,4,7,8,5]=>[5,8,7,4,2,1,6,3]
[3,1,2,6,4,7,8,5]=>[5,8,7,4,6,2,1,3]
[1,3,2,6,4,7,8,5]=>[5,8,7,4,6,2,3,1]
[1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]
[3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]
[1,3,2,6,7,4,8,5]=>[5,8,4,7,6,2,3,1]
[1,3,6,2,7,4,8,5]=>[5,8,4,7,2,6,3,1]
[1,3,6,7,2,4,8,5]=>[5,8,4,2,7,6,3,1]
[3,1,2,6,7,8,4,5]=>[5,4,8,7,6,2,1,3]
[1,3,2,6,7,8,4,5]=>[5,4,8,7,6,2,3,1]
[1,3,6,2,7,8,4,5]=>[5,4,8,7,2,6,3,1]
[1,3,6,7,2,8,4,5]=>[5,4,8,2,7,6,3,1]
[1,3,6,7,8,2,4,5]=>[5,4,2,8,7,6,3,1]
[3,1,6,2,8,4,5,7]=>[7,5,4,8,2,6,1,3]
[3,6,1,2,8,4,5,7]=>[7,5,4,8,2,1,6,3]
[3,1,6,8,2,4,5,7]=>[7,5,4,2,8,6,1,3]
[3,6,1,8,2,4,5,7]=>[7,5,4,2,8,1,6,3]
[3,6,8,1,2,4,5,7]=>[7,5,4,2,1,8,6,3]
[3,1,6,2,4,8,5,7]=>[7,5,8,4,2,6,1,3]
[3,6,1,2,4,8,5,7]=>[7,5,8,4,2,1,6,3]
[3,1,2,6,4,8,5,7]=>[7,5,8,4,6,2,1,3]
[1,3,2,6,4,8,5,7]=>[7,5,8,4,6,2,3,1]
[1,3,6,2,4,8,5,7]=>[7,5,8,4,2,6,3,1]
[3,1,2,6,8,4,5,7]=>[7,5,4,8,6,2,1,3]
[1,3,2,6,8,4,5,7]=>[7,5,4,8,6,2,3,1]
[1,3,6,2,8,4,5,7]=>[7,5,4,8,2,6,3,1]
[1,3,6,8,2,4,5,7]=>[7,5,4,2,8,6,3,1]
[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]
[3,6,1,2,4,5,8,7]=>[7,8,5,4,2,1,6,3]
[3,1,2,6,4,5,8,7]=>[7,8,5,4,6,2,1,3]
[1,3,2,6,4,5,8,7]=>[7,8,5,4,6,2,3,1]
[1,3,6,2,4,5,8,7]=>[7,8,5,4,2,6,3,1]
[3,1,2,4,6,5,8,7]=>[7,8,5,6,4,2,1,3]
[1,3,4,6,2,5,8,7]=>[7,8,5,2,6,4,3,1]
[3,1,2,4,6,8,5,7]=>[7,5,8,6,4,2,1,3]
[1,3,2,4,6,8,5,7]=>[7,5,8,6,4,2,3,1]
[1,3,4,2,6,8,5,7]=>[7,5,8,6,2,4,3,1]
[1,3,4,6,2,8,5,7]=>[7,5,8,2,6,4,3,1]
[1,3,4,6,8,2,5,7]=>[7,5,2,8,6,4,3,1]
[3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]
[3,6,1,2,4,5,7,8]=>[8,7,5,4,2,1,6,3]
[3,1,2,6,4,5,7,8]=>[8,7,5,4,6,2,1,3]
[1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]
[1,3,6,2,4,5,7,8]=>[8,7,5,4,2,6,3,1]
[3,1,2,4,6,5,7,8]=>[8,7,5,6,4,2,1,3]
[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]
[3,1,2,4,6,7,5,8]=>[8,5,7,6,4,2,1,3]
[1,3,4,6,2,7,5,8]=>[8,5,7,2,6,4,3,1]
[1,3,4,6,7,2,5,8]=>[8,5,2,7,6,4,3,1]
[3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]
[1,3,4,6,2,7,8,5]=>[5,8,7,2,6,4,3,1]
[1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]
[1,3,4,6,7,8,2,5]=>[5,2,8,7,6,4,3,1]
[3,1,7,2,8,4,5,6]=>[6,5,4,8,2,7,1,3]
[3,7,1,2,8,4,5,6]=>[6,5,4,8,2,1,7,3]
[3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]
[3,7,1,8,2,4,5,6]=>[6,5,4,2,8,1,7,3]
[3,7,8,1,2,4,5,6]=>[6,5,4,2,1,8,7,3]
[3,1,7,2,4,8,5,6]=>[6,5,8,4,2,7,1,3]
[3,7,1,2,4,8,5,6]=>[6,5,8,4,2,1,7,3]
[3,1,2,7,4,8,5,6]=>[6,5,8,4,7,2,1,3]
[1,3,2,7,4,8,5,6]=>[6,5,8,4,7,2,3,1]
[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]
[3,1,2,7,8,4,5,6]=>[6,5,4,8,7,2,1,3]
[1,3,2,7,8,4,5,6]=>[6,5,4,8,7,2,3,1]
[1,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,1]
[1,3,7,8,2,4,5,6]=>[6,5,4,2,8,7,3,1]
[3,1,7,2,4,5,8,6]=>[6,8,5,4,2,7,1,3]
[3,7,1,2,4,5,8,6]=>[6,8,5,4,2,1,7,3]
[3,1,2,7,4,5,8,6]=>[6,8,5,4,7,2,1,3]
[1,3,2,7,4,5,8,6]=>[6,8,5,4,7,2,3,1]
[1,3,7,2,4,5,8,6]=>[6,8,5,4,2,7,3,1]
[3,1,2,4,7,5,8,6]=>[6,8,5,7,4,2,1,3]
[1,3,2,4,7,5,8,6]=>[6,8,5,7,4,2,3,1]
[1,3,4,2,7,5,8,6]=>[6,8,5,7,2,4,3,1]
[1,3,4,7,2,5,8,6]=>[6,8,5,2,7,4,3,1]
[3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3]
[1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]
[1,3,4,2,7,8,5,6]=>[6,5,8,7,2,4,3,1]
[1,3,4,7,2,8,5,6]=>[6,5,8,2,7,4,3,1]
[1,3,4,7,8,2,5,6]=>[6,5,2,8,7,4,3,1]
[3,1,7,2,4,5,6,8]=>[8,6,5,4,2,7,1,3]
[3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]
[3,1,2,7,4,5,6,8]=>[8,6,5,4,7,2,1,3]
[1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]
[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]
[3,1,2,4,7,5,6,8]=>[8,6,5,7,4,2,1,3]
[1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]
[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]
[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]
[3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]
[1,3,4,5,7,2,6,8]=>[8,6,2,7,5,4,3,1]
[3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]
[1,3,4,5,7,2,8,6]=>[6,8,2,7,5,4,3,1]
[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]
[3,1,8,2,4,5,6,7]=>[7,6,5,4,2,8,1,3]
[3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]
[3,1,2,8,4,5,6,7]=>[7,6,5,4,8,2,1,3]
[1,3,2,8,4,5,6,7]=>[7,6,5,4,8,2,3,1]
[1,3,8,2,4,5,6,7]=>[7,6,5,4,2,8,3,1]
[3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]
[1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]
[1,3,4,2,8,5,6,7]=>[7,6,5,8,2,4,3,1]
[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]
[1,3,2,4,5,8,6,7]=>[7,6,8,5,4,2,3,1]
[1,3,4,2,5,8,6,7]=>[7,6,8,5,2,4,3,1]
[1,3,4,5,2,8,6,7]=>[7,6,8,2,5,4,3,1]
[1,3,4,5,8,2,6,7]=>[7,6,2,8,5,4,3,1]
[3,1,2,4,5,6,8,7]=>[7,8,6,5,4,2,1,3]
[1,3,4,5,6,8,2,7]=>[7,2,8,6,5,4,3,1]
[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]
[4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]
[4,1,5,6,2,3,8,7]=>[7,8,3,2,6,5,1,4]
[4,5,1,6,2,3,8,7]=>[7,8,3,2,6,1,5,4]
[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]
[4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]
[4,5,1,2,6,8,3,7]=>[7,3,8,6,2,1,5,4]
[4,1,5,6,2,8,3,7]=>[7,3,8,2,6,5,1,4]
[4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]
[4,5,6,1,2,8,3,7]=>[7,3,8,2,1,6,5,4]
[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]
[4,5,1,6,8,2,3,7]=>[7,3,2,8,6,1,5,4]
[4,5,6,1,8,2,3,7]=>[7,3,2,8,1,6,5,4]
[4,5,6,8,1,2,3,7]=>[7,3,2,1,8,6,5,4]
[4,1,5,2,6,3,7,8]=>[8,7,3,6,2,5,1,4]
[4,5,1,2,6,3,7,8]=>[8,7,3,6,2,1,5,4]
[4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4]
[4,5,1,6,2,3,7,8]=>[8,7,3,2,6,1,5,4]
[4,1,5,2,6,7,3,8]=>[8,3,7,6,2,5,1,4]
[4,5,1,2,6,7,3,8]=>[8,3,7,6,2,1,5,4]
[4,1,5,6,2,7,3,8]=>[8,3,7,2,6,5,1,4]
[4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]
[4,5,6,1,2,7,3,8]=>[8,3,7,2,1,6,5,4]
[4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,4]
[4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]
[4,5,6,1,7,2,3,8]=>[8,3,2,7,1,6,5,4]
[4,1,5,2,6,7,8,3]=>[3,8,7,6,2,5,1,4]
[4,5,1,2,6,7,8,3]=>[3,8,7,6,2,1,5,4]
[4,1,5,6,2,7,8,3]=>[3,8,7,2,6,5,1,4]
[4,5,1,6,2,7,8,3]=>[3,8,7,2,6,1,5,4]
[4,5,6,1,2,7,8,3]=>[3,8,7,2,1,6,5,4]
[4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4]
[4,5,1,6,7,2,8,3]=>[3,8,2,7,6,1,5,4]
[4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]
[4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4]
[4,1,5,6,7,8,2,3]=>[3,2,8,7,6,5,1,4]
[4,5,1,6,7,8,2,3]=>[3,2,8,7,6,1,5,4]
[4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]
[4,5,6,7,1,8,2,3]=>[3,2,8,1,7,6,5,4]
[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]
[4,5,1,2,7,3,8,6]=>[6,8,3,7,2,1,5,4]
[4,1,5,7,2,3,8,6]=>[6,8,3,2,7,5,1,4]
[4,5,1,7,2,3,8,6]=>[6,8,3,2,7,1,5,4]
[4,5,7,1,2,3,8,6]=>[6,8,3,2,1,7,5,4]
[4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]
[4,5,1,2,7,8,3,6]=>[6,3,8,7,2,1,5,4]
[4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]
[4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]
[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]
[4,1,5,7,8,2,3,6]=>[6,3,2,8,7,5,1,4]
[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]
[4,5,7,1,8,2,3,6]=>[6,3,2,8,1,7,5,4]
[4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4]
[4,1,5,2,7,3,6,8]=>[8,6,3,7,2,5,1,4]
[4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]
[4,1,5,7,2,3,6,8]=>[8,6,3,2,7,5,1,4]
[4,5,1,7,2,3,6,8]=>[8,6,3,2,7,1,5,4]
[4,5,7,1,2,3,6,8]=>[8,6,3,2,1,7,5,4]
[4,1,5,2,3,7,6,8]=>[8,6,7,3,2,5,1,4]
[4,5,1,2,3,7,6,8]=>[8,6,7,3,2,1,5,4]
[4,1,2,5,3,7,6,8]=>[8,6,7,3,5,2,1,4]
[1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]
[1,4,5,2,3,7,6,8]=>[8,6,7,3,2,5,4,1]
[4,1,2,5,7,3,6,8]=>[8,6,3,7,5,2,1,4]
[1,4,2,5,7,3,6,8]=>[8,6,3,7,5,2,4,1]
[1,4,5,2,7,3,6,8]=>[8,6,3,7,2,5,4,1]
[1,4,5,7,2,3,6,8]=>[8,6,3,2,7,5,4,1]
[4,1,5,2,3,7,8,6]=>[6,8,7,3,2,5,1,4]
[4,5,1,2,3,7,8,6]=>[6,8,7,3,2,1,5,4]
[4,1,2,5,3,7,8,6]=>[6,8,7,3,5,2,1,4]
[1,4,2,5,3,7,8,6]=>[6,8,7,3,5,2,4,1]
[1,4,5,2,3,7,8,6]=>[6,8,7,3,2,5,4,1]
[4,1,2,5,7,3,8,6]=>[6,8,3,7,5,2,1,4]
[1,4,2,5,7,3,8,6]=>[6,8,3,7,5,2,4,1]
[1,4,5,2,7,3,8,6]=>[6,8,3,7,2,5,4,1]
[1,4,5,7,2,3,8,6]=>[6,8,3,2,7,5,4,1]
[4,1,2,5,7,8,3,6]=>[6,3,8,7,5,2,1,4]
[1,4,2,5,7,8,3,6]=>[6,3,8,7,5,2,4,1]
[1,4,5,2,7,8,3,6]=>[6,3,8,7,2,5,4,1]
[1,4,5,7,2,8,3,6]=>[6,3,8,2,7,5,4,1]
[1,4,5,7,8,2,3,6]=>[6,3,2,8,7,5,4,1]
[4,1,5,2,8,3,6,7]=>[7,6,3,8,2,5,1,4]
[4,5,1,2,8,3,6,7]=>[7,6,3,8,2,1,5,4]
[4,1,5,8,2,3,6,7]=>[7,6,3,2,8,5,1,4]
[4,5,1,8,2,3,6,7]=>[7,6,3,2,8,1,5,4]
[4,5,8,1,2,3,6,7]=>[7,6,3,2,1,8,5,4]
[4,1,5,2,3,8,6,7]=>[7,6,8,3,2,5,1,4]
[4,5,1,2,3,8,6,7]=>[7,6,8,3,2,1,5,4]
[4,1,2,5,3,8,6,7]=>[7,6,8,3,5,2,1,4]
[1,4,2,5,3,8,6,7]=>[7,6,8,3,5,2,4,1]
[1,4,5,2,3,8,6,7]=>[7,6,8,3,2,5,4,1]
[4,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,4]
[1,4,2,5,8,3,6,7]=>[7,6,3,8,5,2,4,1]
[1,4,5,2,8,3,6,7]=>[7,6,3,8,2,5,4,1]
[1,4,5,8,2,3,6,7]=>[7,6,3,2,8,5,4,1]
[4,1,5,2,3,6,8,7]=>[7,8,6,3,2,5,1,4]
[4,5,1,2,3,6,8,7]=>[7,8,6,3,2,1,5,4]
[4,1,2,5,3,6,8,7]=>[7,8,6,3,5,2,1,4]
[1,4,2,5,3,6,8,7]=>[7,8,6,3,5,2,4,1]
[1,4,5,2,3,6,8,7]=>[7,8,6,3,2,5,4,1]
[4,1,2,5,6,3,8,7]=>[7,8,3,6,5,2,1,4]
[1,4,2,5,6,3,8,7]=>[7,8,3,6,5,2,4,1]
[1,4,5,2,6,3,8,7]=>[7,8,3,6,2,5,4,1]
[1,4,5,6,2,3,8,7]=>[7,8,3,2,6,5,4,1]
[4,1,2,5,6,8,3,7]=>[7,3,8,6,5,2,1,4]
[1,4,2,5,6,8,3,7]=>[7,3,8,6,5,2,4,1]
[1,4,5,2,6,8,3,7]=>[7,3,8,6,2,5,4,1]
[1,4,5,6,2,8,3,7]=>[7,3,8,2,6,5,4,1]
[1,4,5,6,8,2,3,7]=>[7,3,2,8,6,5,4,1]
[4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4]
[4,1,2,5,3,6,7,8]=>[8,7,6,3,5,2,1,4]
[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]
[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]
[4,1,2,5,6,3,7,8]=>[8,7,3,6,5,2,1,4]
[1,4,2,5,6,3,7,8]=>[8,7,3,6,5,2,4,1]
[1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]
[1,4,5,6,2,3,7,8]=>[8,7,3,2,6,5,4,1]
[4,1,2,5,6,7,3,8]=>[8,3,7,6,5,2,1,4]
[1,4,2,5,6,7,3,8]=>[8,3,7,6,5,2,4,1]
[1,4,5,2,6,7,3,8]=>[8,3,7,6,2,5,4,1]
[1,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,1]
[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]
[4,1,2,5,6,7,8,3]=>[3,8,7,6,5,2,1,4]
[1,4,2,5,6,7,8,3]=>[3,8,7,6,5,2,4,1]
[1,4,5,2,6,7,8,3]=>[3,8,7,6,2,5,4,1]
[1,4,5,6,2,7,8,3]=>[3,8,7,2,6,5,4,1]
[1,4,5,6,7,2,8,3]=>[3,8,2,7,6,5,4,1]
[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]
[4,6,1,2,7,3,8,5]=>[5,8,3,7,2,1,6,4]
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]
[4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]
[4,6,7,1,2,3,8,5]=>[5,8,3,2,1,7,6,4]
[4,1,6,2,7,8,3,5]=>[5,3,8,7,2,6,1,4]
[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]
[4,1,6,7,2,8,3,5]=>[5,3,8,2,7,6,1,4]
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]
[4,6,7,1,2,8,3,5]=>[5,3,8,2,1,7,6,4]
[4,1,6,7,8,2,3,5]=>[5,3,2,8,7,6,1,4]
[4,6,1,7,8,2,3,5]=>[5,3,2,8,7,1,6,4]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]
[4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]
[4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]
[4,1,6,7,2,3,5,8]=>[8,5,3,2,7,6,1,4]
[4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]
[4,6,7,1,2,3,5,8]=>[8,5,3,2,1,7,6,4]
[4,1,6,2,3,7,5,8]=>[8,5,7,3,2,6,1,4]
[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]
[4,1,2,6,3,7,5,8]=>[8,5,7,3,6,2,1,4]
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]
[1,4,6,2,3,7,5,8]=>[8,5,7,3,2,6,4,1]
[4,1,2,6,7,3,5,8]=>[8,5,3,7,6,2,1,4]
[1,4,2,6,7,3,5,8]=>[8,5,3,7,6,2,4,1]
[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]
[1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]
[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]
[4,6,1,2,3,7,8,5]=>[5,8,7,3,2,1,6,4]
[4,1,2,6,3,7,8,5]=>[5,8,7,3,6,2,1,4]
[1,4,2,6,3,7,8,5]=>[5,8,7,3,6,2,4,1]
[1,4,6,2,3,7,8,5]=>[5,8,7,3,2,6,4,1]
[4,1,2,6,7,3,8,5]=>[5,8,3,7,6,2,1,4]
[1,4,2,6,7,3,8,5]=>[5,8,3,7,6,2,4,1]
[1,4,6,2,7,3,8,5]=>[5,8,3,7,2,6,4,1]
[1,4,6,7,2,3,8,5]=>[5,8,3,2,7,6,4,1]
[4,1,2,6,7,8,3,5]=>[5,3,8,7,6,2,1,4]
[1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]
[1,4,6,2,7,8,3,5]=>[5,3,8,7,2,6,4,1]
[1,4,6,7,2,8,3,5]=>[5,3,8,2,7,6,4,1]
[1,4,6,7,8,2,3,5]=>[5,3,2,8,7,6,4,1]
[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]
[4,6,1,2,8,3,5,7]=>[7,5,3,8,2,1,6,4]
[4,1,6,8,2,3,5,7]=>[7,5,3,2,8,6,1,4]
[4,6,1,8,2,3,5,7]=>[7,5,3,2,8,1,6,4]
[4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4]
[4,1,6,2,3,8,5,7]=>[7,5,8,3,2,6,1,4]
[4,6,1,2,3,8,5,7]=>[7,5,8,3,2,1,6,4]
[4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]
[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]
[1,4,6,2,3,8,5,7]=>[7,5,8,3,2,6,4,1]
[4,1,2,6,8,3,5,7]=>[7,5,3,8,6,2,1,4]
[1,4,2,6,8,3,5,7]=>[7,5,3,8,6,2,4,1]
[1,4,6,2,8,3,5,7]=>[7,5,3,8,2,6,4,1]
[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]
[4,1,6,2,3,5,8,7]=>[7,8,5,3,2,6,1,4]
[4,6,1,2,3,5,8,7]=>[7,8,5,3,2,1,6,4]
[4,1,2,6,3,5,8,7]=>[7,8,5,3,6,2,1,4]
[1,4,2,6,3,5,8,7]=>[7,8,5,3,6,2,4,1]
[1,4,6,2,3,5,8,7]=>[7,8,5,3,2,6,4,1]
[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]
[1,4,2,3,6,5,8,7]=>[7,8,5,6,3,2,4,1]
[1,2,4,6,3,5,8,7]=>[7,8,5,3,6,4,2,1]
[4,1,2,3,6,8,5,7]=>[7,5,8,6,3,2,1,4]
[1,4,2,3,6,8,5,7]=>[7,5,8,6,3,2,4,1]
[1,2,4,3,6,8,5,7]=>[7,5,8,6,3,4,2,1]
[1,2,4,6,3,8,5,7]=>[7,5,8,3,6,4,2,1]
[1,2,4,6,8,3,5,7]=>[7,5,3,8,6,4,2,1]
[4,1,6,2,3,5,7,8]=>[8,7,5,3,2,6,1,4]
[4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]
[4,1,2,6,3,5,7,8]=>[8,7,5,3,6,2,1,4]
[1,4,2,6,3,5,7,8]=>[8,7,5,3,6,2,4,1]
[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]
[4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]
[1,4,2,3,6,5,7,8]=>[8,7,5,6,3,2,4,1]
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]
[4,1,2,3,6,7,5,8]=>[8,5,7,6,3,2,1,4]
[1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]
[1,2,4,6,3,7,5,8]=>[8,5,7,3,6,4,2,1]
[1,2,4,6,7,3,5,8]=>[8,5,3,7,6,4,2,1]
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]
[1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]
[1,2,4,6,3,7,8,5]=>[5,8,7,3,6,4,2,1]
[1,2,4,6,7,3,8,5]=>[5,8,3,7,6,4,2,1]
[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]
[4,1,7,2,8,3,5,6]=>[6,5,3,8,2,7,1,4]
[4,7,1,2,8,3,5,6]=>[6,5,3,8,2,1,7,4]
[4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]
[4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]
[4,7,8,1,2,3,5,6]=>[6,5,3,2,1,8,7,4]
[4,1,7,2,3,8,5,6]=>[6,5,8,3,2,7,1,4]
[4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]
[4,1,2,7,3,8,5,6]=>[6,5,8,3,7,2,1,4]
[1,4,2,7,3,8,5,6]=>[6,5,8,3,7,2,4,1]
[1,4,7,2,3,8,5,6]=>[6,5,8,3,2,7,4,1]
[4,1,2,7,8,3,5,6]=>[6,5,3,8,7,2,1,4]
[1,4,2,7,8,3,5,6]=>[6,5,3,8,7,2,4,1]
[1,4,7,2,8,3,5,6]=>[6,5,3,8,2,7,4,1]
[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]
[4,1,7,2,3,5,8,6]=>[6,8,5,3,2,7,1,4]
[4,7,1,2,3,5,8,6]=>[6,8,5,3,2,1,7,4]
[4,1,2,7,3,5,8,6]=>[6,8,5,3,7,2,1,4]
[1,4,2,7,3,5,8,6]=>[6,8,5,3,7,2,4,1]
[1,4,7,2,3,5,8,6]=>[6,8,5,3,2,7,4,1]
[4,1,2,3,7,5,8,6]=>[6,8,5,7,3,2,1,4]
[1,4,2,3,7,5,8,6]=>[6,8,5,7,3,2,4,1]
[1,2,4,3,7,5,8,6]=>[6,8,5,7,3,4,2,1]
[1,2,4,7,3,5,8,6]=>[6,8,5,3,7,4,2,1]
[4,1,2,3,7,8,5,6]=>[6,5,8,7,3,2,1,4]
[1,4,2,3,7,8,5,6]=>[6,5,8,7,3,2,4,1]
[1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]
[1,2,4,7,3,8,5,6]=>[6,5,8,3,7,4,2,1]
[1,2,4,7,8,3,5,6]=>[6,5,3,8,7,4,2,1]
[4,1,7,2,3,5,6,8]=>[8,6,5,3,2,7,1,4]
[4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]
[4,1,2,7,3,5,6,8]=>[8,6,5,3,7,2,1,4]
[1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]
[1,4,7,2,3,5,6,8]=>[8,6,5,3,2,7,4,1]
[4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]
[1,2,4,3,7,5,6,8]=>[8,6,5,7,3,4,2,1]
[1,2,4,7,3,5,6,8]=>[8,6,5,3,7,4,2,1]
[4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]
[1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]
[1,2,4,5,7,3,6,8]=>[8,6,3,7,5,4,2,1]
[4,1,2,3,5,7,8,6]=>[6,8,7,5,3,2,1,4]
[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]
[1,2,4,5,7,3,8,6]=>[6,8,3,7,5,4,2,1]
[1,2,4,5,7,8,3,6]=>[6,3,8,7,5,4,2,1]
[4,1,8,2,3,5,6,7]=>[7,6,5,3,2,8,1,4]
[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]
[4,1,2,8,3,5,6,7]=>[7,6,5,3,8,2,1,4]
[1,4,2,8,3,5,6,7]=>[7,6,5,3,8,2,4,1]
[1,4,8,2,3,5,6,7]=>[7,6,5,3,2,8,4,1]
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]
[1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]
[1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]
[1,2,4,8,3,5,6,7]=>[7,6,5,3,8,4,2,1]
[4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]
[1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]
[1,2,4,3,5,8,6,7]=>[7,6,8,5,3,4,2,1]
[1,2,4,5,3,8,6,7]=>[7,6,8,3,5,4,2,1]
[1,2,4,5,8,3,6,7]=>[7,6,3,8,5,4,2,1]
[4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]
[1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1]
[1,2,4,5,6,8,3,7]=>[7,3,8,6,5,4,2,1]
[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]
[5,6,1,2,7,3,8,4]=>[4,8,3,7,2,1,6,5]
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]
[5,6,1,7,2,3,8,4]=>[4,8,3,2,7,1,6,5]
[5,6,7,1,2,3,8,4]=>[4,8,3,2,1,7,6,5]
[5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]
[5,1,6,7,2,8,3,4]=>[4,3,8,2,7,6,1,5]
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]
[5,6,7,1,2,8,3,4]=>[4,3,8,2,1,7,6,5]
[5,1,6,7,8,2,3,4]=>[4,3,2,8,7,6,1,5]
[5,6,1,7,8,2,3,4]=>[4,3,2,8,7,1,6,5]
[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]
[5,1,6,2,7,3,4,8]=>[8,4,3,7,2,6,1,5]
[5,6,1,2,7,3,4,8]=>[8,4,3,7,2,1,6,5]
[5,1,6,7,2,3,4,8]=>[8,4,3,2,7,6,1,5]
[5,6,1,7,2,3,4,8]=>[8,4,3,2,7,1,6,5]
[5,1,6,2,3,7,4,8]=>[8,4,7,3,2,6,1,5]
[5,6,1,2,3,7,4,8]=>[8,4,7,3,2,1,6,5]
[5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]
[1,5,6,2,3,7,4,8]=>[8,4,7,3,2,6,5,1]
[5,1,2,6,7,3,4,8]=>[8,4,3,7,6,2,1,5]
[1,5,2,6,7,3,4,8]=>[8,4,3,7,6,2,5,1]
[1,5,6,2,7,3,4,8]=>[8,4,3,7,2,6,5,1]
[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]
[5,1,6,2,3,7,8,4]=>[4,8,7,3,2,6,1,5]
[5,6,1,2,3,7,8,4]=>[4,8,7,3,2,1,6,5]
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]
[1,5,2,6,3,7,8,4]=>[4,8,7,3,6,2,5,1]
[1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]
[5,1,2,6,7,3,8,4]=>[4,8,3,7,6,2,1,5]
[1,5,2,6,7,3,8,4]=>[4,8,3,7,6,2,5,1]
[1,5,6,2,7,3,8,4]=>[4,8,3,7,2,6,5,1]
[1,5,6,7,2,3,8,4]=>[4,8,3,2,7,6,5,1]
[5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]
[1,5,2,6,7,8,3,4]=>[4,3,8,7,6,2,5,1]
[1,5,6,2,7,8,3,4]=>[4,3,8,7,2,6,5,1]
[1,5,6,7,2,8,3,4]=>[4,3,8,2,7,6,5,1]
[1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1]
[5,1,6,2,8,3,4,7]=>[7,4,3,8,2,6,1,5]
[5,6,1,2,8,3,4,7]=>[7,4,3,8,2,1,6,5]
[5,1,6,8,2,3,4,7]=>[7,4,3,2,8,6,1,5]
[5,6,1,8,2,3,4,7]=>[7,4,3,2,8,1,6,5]
[5,6,8,1,2,3,4,7]=>[7,4,3,2,1,8,6,5]
[5,1,6,2,3,8,4,7]=>[7,4,8,3,2,6,1,5]
[5,6,1,2,3,8,4,7]=>[7,4,8,3,2,1,6,5]
[5,1,2,6,3,8,4,7]=>[7,4,8,3,6,2,1,5]
[1,5,2,6,3,8,4,7]=>[7,4,8,3,6,2,5,1]
[1,5,6,2,3,8,4,7]=>[7,4,8,3,2,6,5,1]
[5,1,2,6,8,3,4,7]=>[7,4,3,8,6,2,1,5]
[1,5,2,6,8,3,4,7]=>[7,4,3,8,6,2,5,1]
[1,5,6,2,8,3,4,7]=>[7,4,3,8,2,6,5,1]
[1,5,6,8,2,3,4,7]=>[7,4,3,2,8,6,5,1]
[5,1,6,2,3,4,8,7]=>[7,8,4,3,2,6,1,5]
[5,6,1,2,3,4,8,7]=>[7,8,4,3,2,1,6,5]
[5,1,2,6,3,4,8,7]=>[7,8,4,3,6,2,1,5]
[1,5,2,6,3,4,8,7]=>[7,8,4,3,6,2,5,1]
[1,5,6,2,3,4,8,7]=>[7,8,4,3,2,6,5,1]
[5,1,2,3,6,4,8,7]=>[7,8,4,6,3,2,1,5]
[1,5,2,3,6,4,8,7]=>[7,8,4,6,3,2,5,1]
[1,2,5,3,6,4,8,7]=>[7,8,4,6,3,5,2,1]
[1,2,5,6,3,4,8,7]=>[7,8,4,3,6,5,2,1]
[5,1,2,3,6,8,4,7]=>[7,4,8,6,3,2,1,5]
[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]
[1,2,5,3,6,8,4,7]=>[7,4,8,6,3,5,2,1]
[1,2,5,6,3,8,4,7]=>[7,4,8,3,6,5,2,1]
[1,2,5,6,8,3,4,7]=>[7,4,3,8,6,5,2,1]
[5,1,6,2,3,4,7,8]=>[8,7,4,3,2,6,1,5]
[5,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,5]
[1,5,2,6,3,4,7,8]=>[8,7,4,3,6,2,5,1]
[1,5,6,2,3,4,7,8]=>[8,7,4,3,2,6,5,1]
[5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]
[1,5,2,3,6,4,7,8]=>[8,7,4,6,3,2,5,1]
[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]
[5,1,2,3,6,7,4,8]=>[8,4,7,6,3,2,1,5]
[1,5,2,3,6,7,4,8]=>[8,4,7,6,3,2,5,1]
[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]
[1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]
[1,2,5,6,7,3,4,8]=>[8,4,3,7,6,5,2,1]
[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]
[1,5,2,3,6,7,8,4]=>[4,8,7,6,3,2,5,1]
[1,2,5,3,6,7,8,4]=>[4,8,7,6,3,5,2,1]
[1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1]
[1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]
[1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]
[5,1,7,2,8,3,4,6]=>[6,4,3,8,2,7,1,5]
[5,7,1,2,8,3,4,6]=>[6,4,3,8,2,1,7,5]
[5,1,7,8,2,3,4,6]=>[6,4,3,2,8,7,1,5]
[5,7,1,8,2,3,4,6]=>[6,4,3,2,8,1,7,5]
[5,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,5]
[5,1,7,2,3,8,4,6]=>[6,4,8,3,2,7,1,5]
[5,7,1,2,3,8,4,6]=>[6,4,8,3,2,1,7,5]
[5,1,2,7,3,8,4,6]=>[6,4,8,3,7,2,1,5]
[1,5,2,7,3,8,4,6]=>[6,4,8,3,7,2,5,1]
[1,5,7,2,3,8,4,6]=>[6,4,8,3,2,7,5,1]
[5,1,2,7,8,3,4,6]=>[6,4,3,8,7,2,1,5]
[1,5,2,7,8,3,4,6]=>[6,4,3,8,7,2,5,1]
[1,5,7,2,8,3,4,6]=>[6,4,3,8,2,7,5,1]
[1,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,1]
[5,1,7,2,3,4,8,6]=>[6,8,4,3,2,7,1,5]
[5,7,1,2,3,4,8,6]=>[6,8,4,3,2,1,7,5]
[5,1,2,7,3,4,8,6]=>[6,8,4,3,7,2,1,5]
[1,5,2,7,3,4,8,6]=>[6,8,4,3,7,2,5,1]
[1,5,7,2,3,4,8,6]=>[6,8,4,3,2,7,5,1]
[5,1,2,3,7,4,8,6]=>[6,8,4,7,3,2,1,5]
[1,5,2,3,7,4,8,6]=>[6,8,4,7,3,2,5,1]
[1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1]
[1,2,5,7,3,4,8,6]=>[6,8,4,3,7,5,2,1]
[5,1,2,3,7,8,4,6]=>[6,4,8,7,3,2,1,5]
[1,5,2,3,7,8,4,6]=>[6,4,8,7,3,2,5,1]
[1,2,5,3,7,8,4,6]=>[6,4,8,7,3,5,2,1]
[1,2,5,7,3,8,4,6]=>[6,4,8,3,7,5,2,1]
[1,2,5,7,8,3,4,6]=>[6,4,3,8,7,5,2,1]
[5,1,7,2,3,4,6,8]=>[8,6,4,3,2,7,1,5]
[5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]
[5,1,2,7,3,4,6,8]=>[8,6,4,3,7,2,1,5]
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]
[1,5,7,2,3,4,6,8]=>[8,6,4,3,2,7,5,1]
[5,1,2,3,7,4,6,8]=>[8,6,4,7,3,2,1,5]
[1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]
[1,2,5,3,7,4,6,8]=>[8,6,4,7,3,5,2,1]
[1,2,5,7,3,4,6,8]=>[8,6,4,3,7,5,2,1]
[5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]
[1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]
[1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]
[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]
[5,1,2,3,4,7,8,6]=>[6,8,7,4,3,2,1,5]
[1,5,2,3,4,7,8,6]=>[6,8,7,4,3,2,5,1]
[1,2,5,3,4,7,8,6]=>[6,8,7,4,3,5,2,1]
[1,2,3,5,7,4,8,6]=>[6,8,4,7,5,3,2,1]
[1,2,3,5,7,8,4,6]=>[6,4,8,7,5,3,2,1]
[5,1,8,2,3,4,6,7]=>[7,6,4,3,2,8,1,5]
[5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]
[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]
[1,5,2,8,3,4,6,7]=>[7,6,4,3,8,2,5,1]
[1,5,8,2,3,4,6,7]=>[7,6,4,3,2,8,5,1]
[5,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,5]
[1,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,1]
[1,2,5,3,8,4,6,7]=>[7,6,4,8,3,5,2,1]
[1,2,5,8,3,4,6,7]=>[7,6,4,3,8,5,2,1]
[5,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,5]
[1,5,2,3,4,8,6,7]=>[7,6,8,4,3,2,5,1]
[1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]
[1,2,3,5,4,8,6,7]=>[7,6,8,4,5,3,2,1]
[1,2,3,5,8,4,6,7]=>[7,6,4,8,5,3,2,1]
[5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]
[1,5,2,3,4,6,8,7]=>[7,8,6,4,3,2,5,1]
[1,2,5,3,4,6,8,7]=>[7,8,6,4,3,5,2,1]
[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]
[1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]
[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]
[6,1,7,2,8,3,4,5]=>[5,4,3,8,2,7,1,6]
[6,7,1,2,8,3,4,5]=>[5,4,3,8,2,1,7,6]
[6,1,7,8,2,3,4,5]=>[5,4,3,2,8,7,1,6]
[6,7,1,8,2,3,4,5]=>[5,4,3,2,8,1,7,6]
[6,1,7,2,3,8,4,5]=>[5,4,8,3,2,7,1,6]
[6,7,1,2,3,8,4,5]=>[5,4,8,3,2,1,7,6]
[6,1,2,7,3,8,4,5]=>[5,4,8,3,7,2,1,6]
[1,6,2,7,3,8,4,5]=>[5,4,8,3,7,2,6,1]
[1,6,7,2,3,8,4,5]=>[5,4,8,3,2,7,6,1]
[6,1,2,7,8,3,4,5]=>[5,4,3,8,7,2,1,6]
[1,6,2,7,8,3,4,5]=>[5,4,3,8,7,2,6,1]
[1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]
[1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]
[6,1,7,2,3,4,8,5]=>[5,8,4,3,2,7,1,6]
[6,7,1,2,3,4,8,5]=>[5,8,4,3,2,1,7,6]
[6,1,2,7,3,4,8,5]=>[5,8,4,3,7,2,1,6]
[1,6,2,7,3,4,8,5]=>[5,8,4,3,7,2,6,1]
[1,6,7,2,3,4,8,5]=>[5,8,4,3,2,7,6,1]
[6,1,2,3,7,4,8,5]=>[5,8,4,7,3,2,1,6]
[1,6,2,3,7,4,8,5]=>[5,8,4,7,3,2,6,1]
[1,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,1]
[1,2,6,7,3,4,8,5]=>[5,8,4,3,7,6,2,1]
[6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6]
[1,6,2,3,7,8,4,5]=>[5,4,8,7,3,2,6,1]
[1,2,6,3,7,8,4,5]=>[5,4,8,7,3,6,2,1]
[1,2,6,7,3,8,4,5]=>[5,4,8,3,7,6,2,1]
[1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]
[6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]
[6,1,2,7,3,4,5,8]=>[8,5,4,3,7,2,1,6]
[1,6,2,7,3,4,5,8]=>[8,5,4,3,7,2,6,1]
[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]
[6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6]
[1,6,2,3,7,4,5,8]=>[8,5,4,7,3,2,6,1]
[1,2,6,3,7,4,5,8]=>[8,5,4,7,3,6,2,1]
[1,2,6,7,3,4,5,8]=>[8,5,4,3,7,6,2,1]
[6,1,2,3,4,7,5,8]=>[8,5,7,4,3,2,1,6]
[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]
[1,2,6,3,4,7,5,8]=>[8,5,7,4,3,6,2,1]
[1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]
[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]
[6,1,2,3,4,7,8,5]=>[5,8,7,4,3,2,1,6]
[1,6,2,3,4,7,8,5]=>[5,8,7,4,3,2,6,1]
[1,2,6,3,4,7,8,5]=>[5,8,7,4,3,6,2,1]
[1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1]
[1,2,3,6,7,4,8,5]=>[5,8,4,7,6,3,2,1]
[1,2,3,6,7,8,4,5]=>[5,4,8,7,6,3,2,1]
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]
[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]
[6,1,2,8,3,4,5,7]=>[7,5,4,3,8,2,1,6]
[1,6,2,8,3,4,5,7]=>[7,5,4,3,8,2,6,1]
[1,6,8,2,3,4,5,7]=>[7,5,4,3,2,8,6,1]
[6,1,2,3,8,4,5,7]=>[7,5,4,8,3,2,1,6]
[1,6,2,3,8,4,5,7]=>[7,5,4,8,3,2,6,1]
[1,2,6,3,8,4,5,7]=>[7,5,4,8,3,6,2,1]
[1,2,6,8,3,4,5,7]=>[7,5,4,3,8,6,2,1]
[6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6]
[1,6,2,3,4,8,5,7]=>[7,5,8,4,3,2,6,1]
[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]
[1,2,3,6,4,8,5,7]=>[7,5,8,4,6,3,2,1]
[1,2,3,6,8,4,5,7]=>[7,5,4,8,6,3,2,1]
[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]
[1,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,1]
[1,2,6,3,4,5,8,7]=>[7,8,5,4,3,6,2,1]
[1,2,3,6,4,5,8,7]=>[7,8,5,4,6,3,2,1]
[1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]
[1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]
[1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]
[1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]
[7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]
[7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7]
[1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]
[1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1]
[7,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,7]
[1,7,2,3,8,4,5,6]=>[6,5,4,8,3,2,7,1]
[1,2,7,3,8,4,5,6]=>[6,5,4,8,3,7,2,1]
[1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]
[7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7]
[1,7,2,3,4,8,5,6]=>[6,5,8,4,3,2,7,1]
[1,2,7,3,4,8,5,6]=>[6,5,8,4,3,7,2,1]
[1,2,3,7,4,8,5,6]=>[6,5,8,4,7,3,2,1]
[1,2,3,7,8,4,5,6]=>[6,5,4,8,7,3,2,1]
[7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]
[1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1]
[1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]
[1,2,3,7,4,5,8,6]=>[6,8,5,4,7,3,2,1]
[1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1]
[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]
[1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]
[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]
[1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]
[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]
[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]
[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]
[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]
[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]
[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]
[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]
[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]
[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]
[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]
[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]
[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]
[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]
[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]
[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]
[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]
[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]
[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]
[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]
[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]
[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]
[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]
[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]
[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]
[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]
[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]
[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]
[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]
[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]
[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]
[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]
[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]
[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]
[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]
[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]
[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]
[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]
[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]
[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]
[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]
[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]
[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]
[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]
[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]
[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]
[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]
[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]
[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]
[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]
[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]
[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]
[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]
[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]
[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]
[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]
[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]
[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]
[3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3]
[4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]
[5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]
[3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]
[4,2,6,1,3,5,7,8]=>[8,7,5,3,1,6,2,4]
[4,3,6,1,2,5,7,8]=>[8,7,5,2,1,6,3,4]
[5,2,6,1,3,4,7,8]=>[8,7,4,3,1,6,2,5]
[5,3,6,1,2,4,7,8]=>[8,7,4,2,1,6,3,5]
[6,2,4,1,3,5,7,8]=>[8,7,5,3,1,4,2,6]
[6,2,5,1,3,4,7,8]=>[8,7,4,3,1,5,2,6]
[6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]
[3,2,7,1,4,5,6,8]=>[8,6,5,4,1,7,2,3]
[4,2,7,1,3,5,6,8]=>[8,6,5,3,1,7,2,4]
[4,3,7,1,2,5,6,8]=>[8,6,5,2,1,7,3,4]
[5,2,7,1,3,4,6,8]=>[8,6,4,3,1,7,2,5]
[5,3,7,1,2,4,6,8]=>[8,6,4,2,1,7,3,5]
[5,4,7,1,2,3,6,8]=>[8,6,3,2,1,7,4,5]
[6,2,7,1,3,4,5,8]=>[8,5,4,3,1,7,2,6]
[6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]
[6,4,7,1,2,3,5,8]=>[8,5,3,2,1,7,4,6]
[7,2,4,1,3,5,6,8]=>[8,6,5,3,1,4,2,7]
[7,2,5,1,3,4,6,8]=>[8,6,4,3,1,5,2,7]
[7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]
[7,2,6,1,3,4,5,8]=>[8,5,4,3,1,6,2,7]
[7,3,6,1,2,4,5,8]=>[8,5,4,2,1,6,3,7]
[7,4,6,1,2,3,5,8]=>[8,5,3,2,1,6,4,7]
[3,2,8,1,4,5,6,7]=>[7,6,5,4,1,8,2,3]
[4,2,8,1,3,5,6,7]=>[7,6,5,3,1,8,2,4]
[4,3,8,1,2,5,6,7]=>[7,6,5,2,1,8,3,4]
[5,2,8,1,3,4,6,7]=>[7,6,4,3,1,8,2,5]
[5,3,8,1,2,4,6,7]=>[7,6,4,2,1,8,3,5]
[5,4,8,1,2,3,6,7]=>[7,6,3,2,1,8,4,5]
[6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6]
[6,3,8,1,2,4,5,7]=>[7,5,4,2,1,8,3,6]
[6,4,8,1,2,3,5,7]=>[7,5,3,2,1,8,4,6]
[6,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,6]
[7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7]
[7,3,8,1,2,4,5,6]=>[6,5,4,2,1,8,3,7]
[7,4,8,1,2,3,5,6]=>[6,5,3,2,1,8,4,7]
[7,5,8,1,2,3,4,6]=>[6,4,3,2,1,8,5,7]
[8,2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2,8]
[8,2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2,8]
[8,3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3,8]
[8,2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2,8]
[8,3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3,8]
[8,4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4,8]
[8,2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2,8]
[8,3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3,8]
[8,4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4,8]
[8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]
[3,2,5,7,1,4,6,8]=>[8,6,4,1,7,5,2,3]
[4,2,5,7,1,3,6,8]=>[8,6,3,1,7,5,2,4]
[4,3,5,7,1,2,6,8]=>[8,6,2,1,7,5,3,4]
[5,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,5]
[5,3,4,7,1,2,6,8]=>[8,6,2,1,7,4,3,5]
[3,2,6,7,1,4,5,8]=>[8,5,4,1,7,6,2,3]
[4,2,6,7,1,3,5,8]=>[8,5,3,1,7,6,2,4]
[4,3,6,7,1,2,5,8]=>[8,5,2,1,7,6,3,4]
[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]
[5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]
[6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6]
[6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]
[6,2,5,7,1,3,4,8]=>[8,4,3,1,7,5,2,6]
[6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]
[7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]
[7,3,4,6,1,2,5,8]=>[8,5,2,1,6,4,3,7]
[7,2,5,6,1,3,4,8]=>[8,4,3,1,6,5,2,7]
[7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]
[3,2,5,8,1,4,6,7]=>[7,6,4,1,8,5,2,3]
[4,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,4]
[4,3,5,8,1,2,6,7]=>[7,6,2,1,8,5,3,4]
[5,2,4,8,1,3,6,7]=>[7,6,3,1,8,4,2,5]
[5,3,4,8,1,2,6,7]=>[7,6,2,1,8,4,3,5]
[3,2,6,8,1,4,5,7]=>[7,5,4,1,8,6,2,3]
[4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4]
[4,3,6,8,1,2,5,7]=>[7,5,2,1,8,6,3,4]
[5,2,6,8,1,3,4,7]=>[7,4,3,1,8,6,2,5]
[5,3,6,8,1,2,4,7]=>[7,4,2,1,8,6,3,5]
[5,4,6,8,1,2,3,7]=>[7,3,2,1,8,6,4,5]
[6,2,4,8,1,3,5,7]=>[7,5,3,1,8,4,2,6]
[6,3,4,8,1,2,5,7]=>[7,5,2,1,8,4,3,6]
[6,2,5,8,1,3,4,7]=>[7,4,3,1,8,5,2,6]
[6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]
[6,4,5,8,1,2,3,7]=>[7,3,2,1,8,5,4,6]
[3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]
[4,2,7,8,1,3,5,6]=>[6,5,3,1,8,7,2,4]
[4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,4]
[5,2,7,8,1,3,4,6]=>[6,4,3,1,8,7,2,5]
[5,3,7,8,1,2,4,6]=>[6,4,2,1,8,7,3,5]
[5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]
[6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6]
[6,3,7,8,1,2,4,5]=>[5,4,2,1,8,7,3,6]
[6,4,7,8,1,2,3,5]=>[5,3,2,1,8,7,4,6]
[7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]
[7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]
[7,2,5,8,1,3,4,6]=>[6,4,3,1,8,5,2,7]
[7,3,5,8,1,2,4,6]=>[6,4,2,1,8,5,3,7]
[7,4,5,8,1,2,3,6]=>[6,3,2,1,8,5,4,7]
[7,2,6,8,1,3,4,5]=>[5,4,3,1,8,6,2,7]
[7,3,6,8,1,2,4,5]=>[5,4,2,1,8,6,3,7]
[7,4,6,8,1,2,3,5]=>[5,3,2,1,8,6,4,7]
[8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]
[8,3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3,8]
[8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]
[8,3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3,8]
[8,2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2,8]
[8,3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3,8]
[8,2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2,8]
[8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]
[8,4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4,8]
[8,2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2,8]
[8,3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3,8]
[8,4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4,8]
[3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3]
[4,6,2,5,1,3,7,8]=>[8,7,3,1,5,2,6,4]
[4,6,3,5,1,2,7,8]=>[8,7,2,1,5,3,6,4]
[5,6,2,4,1,3,7,8]=>[8,7,3,1,4,2,6,5]
[3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]
[4,7,2,5,1,3,6,8]=>[8,6,3,1,5,2,7,4]
[4,7,3,5,1,2,6,8]=>[8,6,2,1,5,3,7,4]
[5,7,2,4,1,3,6,8]=>[8,6,3,1,4,2,7,5]
[5,7,3,4,1,2,6,8]=>[8,6,2,1,4,3,7,5]
[3,7,2,6,1,4,5,8]=>[8,5,4,1,6,2,7,3]
[4,7,2,6,1,3,5,8]=>[8,5,3,1,6,2,7,4]
[4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4]
[5,7,2,6,1,3,4,8]=>[8,4,3,1,6,2,7,5]
[5,7,3,6,1,2,4,8]=>[8,4,2,1,6,3,7,5]
[5,7,4,6,1,2,3,8]=>[8,3,2,1,6,4,7,5]
[6,7,2,4,1,3,5,8]=>[8,5,3,1,4,2,7,6]
[6,7,2,5,1,3,4,8]=>[8,4,3,1,5,2,7,6]
[6,7,3,5,1,2,4,8]=>[8,4,2,1,5,3,7,6]
[3,8,2,5,1,4,6,7]=>[7,6,4,1,5,2,8,3]
[4,8,2,5,1,3,6,7]=>[7,6,3,1,5,2,8,4]
[4,8,3,5,1,2,6,7]=>[7,6,2,1,5,3,8,4]
[5,8,2,4,1,3,6,7]=>[7,6,3,1,4,2,8,5]
[5,8,3,4,1,2,6,7]=>[7,6,2,1,4,3,8,5]
[3,8,2,6,1,4,5,7]=>[7,5,4,1,6,2,8,3]
[4,8,2,6,1,3,5,7]=>[7,5,3,1,6,2,8,4]
[4,8,3,6,1,2,5,7]=>[7,5,2,1,6,3,8,4]
[5,8,2,6,1,3,4,7]=>[7,4,3,1,6,2,8,5]
[5,8,3,6,1,2,4,7]=>[7,4,2,1,6,3,8,5]
[5,8,4,6,1,2,3,7]=>[7,3,2,1,6,4,8,5]
[6,8,2,4,1,3,5,7]=>[7,5,3,1,4,2,8,6]
[6,8,3,4,1,2,5,7]=>[7,5,2,1,4,3,8,6]
[6,8,2,5,1,3,4,7]=>[7,4,3,1,5,2,8,6]
[6,8,3,5,1,2,4,7]=>[7,4,2,1,5,3,8,6]
[6,8,4,5,1,2,3,7]=>[7,3,2,1,5,4,8,6]
[3,8,2,7,1,4,5,6]=>[6,5,4,1,7,2,8,3]
[4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]
[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]
[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]
[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]
[5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5]
[6,8,2,7,1,3,4,5]=>[5,4,3,1,7,2,8,6]
[6,8,3,7,1,2,4,5]=>[5,4,2,1,7,3,8,6]
[6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6]
[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]
[7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]
[7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]
[7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]
[7,8,2,6,1,3,4,5]=>[5,4,3,1,6,2,8,7]
[7,8,3,6,1,2,4,5]=>[5,4,2,1,6,3,8,7]
[7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7]
[4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]
[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]
[5,4,2,6,1,3,7,8]=>[8,7,3,1,6,2,4,5]
[6,3,2,5,1,4,7,8]=>[8,7,4,1,5,2,3,6]
[6,4,2,5,1,3,7,8]=>[8,7,3,1,5,2,4,6]
[6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]
[4,3,2,7,1,5,6,8]=>[8,6,5,1,7,2,3,4]
[5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]
[5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]
[5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]
[6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]
[6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]
[6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]
[6,5,2,7,1,3,4,8]=>[8,4,3,1,7,2,5,6]
[6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]
[7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]
[7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7]
[7,5,2,4,1,3,6,8]=>[8,6,3,1,4,2,5,7]
[7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]
[7,4,2,6,1,3,5,8]=>[8,5,3,1,6,2,4,7]
[7,4,3,6,1,2,5,8]=>[8,5,2,1,6,3,4,7]
[7,5,2,6,1,3,4,8]=>[8,4,3,1,6,2,5,7]
[7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]
[7,6,2,4,1,3,5,8]=>[8,5,3,1,4,2,6,7]
[7,6,2,5,1,3,4,8]=>[8,4,3,1,5,2,6,7]
[7,6,3,5,1,2,4,8]=>[8,4,2,1,5,3,6,7]
[4,3,2,8,1,5,6,7]=>[7,6,5,1,8,2,3,4]
[5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]
[5,4,2,8,1,3,6,7]=>[7,6,3,1,8,2,4,5]
[5,4,3,8,1,2,6,7]=>[7,6,2,1,8,3,4,5]
[6,3,2,8,1,4,5,7]=>[7,5,4,1,8,2,3,6]
[6,4,2,8,1,3,5,7]=>[7,5,3,1,8,2,4,6]
[6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]
[6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6]
[6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]
[6,5,4,8,1,2,3,7]=>[7,3,2,1,8,4,5,6]
[7,3,2,8,1,4,5,6]=>[6,5,4,1,8,2,3,7]
[7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]
[7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]
[7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]
[7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]
[7,5,4,8,1,2,3,6]=>[6,3,2,1,8,4,5,7]
[7,6,2,8,1,3,4,5]=>[5,4,3,1,8,2,6,7]
[7,6,3,8,1,2,4,5]=>[5,4,2,1,8,3,6,7]
[7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]
[8,3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3,8]
[8,4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4,8]
[8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]
[8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]
[8,4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4,8]
[8,4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4,8]
[8,5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5,8]
[8,5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5,8]
[8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]
[8,6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6,8]
[8,6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6,8]
[8,3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3,8]
[8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]
[8,4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4,8]
[8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8]
[8,5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5,8]
[8,5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5,8]
[8,6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6,8]
[8,6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6,8]
[8,6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6,8]
[8,7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7,8]
[8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]
[8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]
[8,7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7,8]
[8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8]
[8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]
[3,6,2,5,8,1,4,7]=>[7,4,1,8,5,2,6,3]
[4,6,2,5,8,1,3,7]=>[7,3,1,8,5,2,6,4]
[4,6,3,5,8,1,2,7]=>[7,2,1,8,5,3,6,4]
[5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]
[5,6,3,4,8,1,2,7]=>[7,2,1,8,4,3,6,5]
[3,7,2,5,8,1,4,6]=>[6,4,1,8,5,2,7,3]
[4,7,2,5,8,1,3,6]=>[6,3,1,8,5,2,7,4]
[4,7,3,5,8,1,2,6]=>[6,2,1,8,5,3,7,4]
[5,7,2,4,8,1,3,6]=>[6,3,1,8,4,2,7,5]
[5,7,3,4,8,1,2,6]=>[6,2,1,8,4,3,7,5]
[3,7,2,6,8,1,4,5]=>[5,4,1,8,6,2,7,3]
[4,7,2,6,8,1,3,5]=>[5,3,1,8,6,2,7,4]
[4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]
[5,7,2,6,8,1,3,4]=>[4,3,1,8,6,2,7,5]
[5,7,3,6,8,1,2,4]=>[4,2,1,8,6,3,7,5]
[5,7,4,6,8,1,2,3]=>[3,2,1,8,6,4,7,5]
[6,7,2,4,8,1,3,5]=>[5,3,1,8,4,2,7,6]
[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]
[6,7,2,5,8,1,3,4]=>[4,3,1,8,5,2,7,6]
[6,7,3,5,8,1,2,4]=>[4,2,1,8,5,3,7,6]
[3,8,2,5,7,1,4,6]=>[6,4,1,7,5,2,8,3]
[4,8,2,5,7,1,3,6]=>[6,3,1,7,5,2,8,4]
[4,8,3,5,7,1,2,6]=>[6,2,1,7,5,3,8,4]
[5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5]
[5,8,3,4,7,1,2,6]=>[6,2,1,7,4,3,8,5]
[3,8,2,6,7,1,4,5]=>[5,4,1,7,6,2,8,3]
[4,8,2,6,7,1,3,5]=>[5,3,1,7,6,2,8,4]
[4,8,3,6,7,1,2,5]=>[5,2,1,7,6,3,8,4]
[5,8,2,6,7,1,3,4]=>[4,3,1,7,6,2,8,5]
[5,8,3,6,7,1,2,4]=>[4,2,1,7,6,3,8,5]
[5,8,4,6,7,1,2,3]=>[3,2,1,7,6,4,8,5]
[6,8,2,4,7,1,3,5]=>[5,3,1,7,4,2,8,6]
[6,8,3,4,7,1,2,5]=>[5,2,1,7,4,3,8,6]
[6,8,2,5,7,1,3,4]=>[4,3,1,7,5,2,8,6]
[6,8,3,5,7,1,2,4]=>[4,2,1,7,5,3,8,6]
[6,8,4,5,7,1,2,3]=>[3,2,1,7,5,4,8,6]
[7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]
[7,8,3,4,6,1,2,5]=>[5,2,1,6,4,3,8,7]
[7,8,2,5,6,1,3,4]=>[4,3,1,6,5,2,8,7]
[7,8,3,5,6,1,2,4]=>[4,2,1,6,5,3,8,7]
[4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4]
[5,3,2,6,8,1,4,7]=>[7,4,1,8,6,2,3,5]
[5,4,2,6,8,1,3,7]=>[7,3,1,8,6,2,4,5]
[5,4,3,6,8,1,2,7]=>[7,2,1,8,6,3,4,5]
[6,3,2,5,8,1,4,7]=>[7,4,1,8,5,2,3,6]
[6,4,2,5,8,1,3,7]=>[7,3,1,8,5,2,4,6]
[6,4,3,5,8,1,2,7]=>[7,2,1,8,5,3,4,6]
[6,5,2,4,8,1,3,7]=>[7,3,1,8,4,2,5,6]
[6,5,3,4,8,1,2,7]=>[7,2,1,8,4,3,5,6]
[4,3,2,7,8,1,5,6]=>[6,5,1,8,7,2,3,4]
[5,3,2,7,8,1,4,6]=>[6,4,1,8,7,2,3,5]
[5,4,2,7,8,1,3,6]=>[6,3,1,8,7,2,4,5]
[5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]
[6,4,2,7,8,1,3,5]=>[5,3,1,8,7,2,4,6]
[6,4,3,7,8,1,2,5]=>[5,2,1,8,7,3,4,6]
[6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]
[6,5,3,7,8,1,2,4]=>[4,2,1,8,7,3,5,6]
[7,3,2,5,8,1,4,6]=>[6,4,1,8,5,2,3,7]
[7,4,2,5,8,1,3,6]=>[6,3,1,8,5,2,4,7]
[7,4,3,5,8,1,2,6]=>[6,2,1,8,5,3,4,7]
[7,5,2,4,8,1,3,6]=>[6,3,1,8,4,2,5,7]
[7,5,3,4,8,1,2,6]=>[6,2,1,8,4,3,5,7]
[7,3,2,6,8,1,4,5]=>[5,4,1,8,6,2,3,7]
[7,4,2,6,8,1,3,5]=>[5,3,1,8,6,2,4,7]
[7,4,3,6,8,1,2,5]=>[5,2,1,8,6,3,4,7]
[7,5,2,6,8,1,3,4]=>[4,3,1,8,6,2,5,7]
[7,5,3,6,8,1,2,4]=>[4,2,1,8,6,3,5,7]
[7,6,2,4,8,1,3,5]=>[5,3,1,8,4,2,6,7]
[7,6,3,4,8,1,2,5]=>[5,2,1,8,4,3,6,7]
[7,6,2,5,8,1,3,4]=>[4,3,1,8,5,2,6,7]
[7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]
[8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]
[8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]
[8,4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4,8]
[8,5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5,8]
[8,5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5,8]
[8,3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3,8]
[8,4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4,8]
[8,4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4,8]
[8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8]
[8,5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5,8]
[8,6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6,8]
[8,6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6,8]
[8,6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6,8]
[8,6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6,8]
[8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]
[8,7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7,8]
[8,7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7,8]
[8,7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7,8]
[4,3,7,2,6,1,5,8]=>[8,5,1,6,2,7,3,4]
[5,3,7,2,6,1,4,8]=>[8,4,1,6,2,7,3,5]
[5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]
[5,4,7,3,6,1,2,8]=>[8,2,1,6,3,7,4,5]
[6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]
[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]
[6,4,7,3,5,1,2,8]=>[8,2,1,5,3,7,4,6]
[6,5,7,2,4,1,3,8]=>[8,3,1,4,2,7,5,6]
[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]
[7,4,6,2,5,1,3,8]=>[8,3,1,5,2,6,4,7]
[7,4,6,3,5,1,2,8]=>[8,2,1,5,3,6,4,7]
[7,5,6,2,4,1,3,8]=>[8,3,1,4,2,6,5,7]
[4,3,8,2,6,1,5,7]=>[7,5,1,6,2,8,3,4]
[5,3,8,2,6,1,4,7]=>[7,4,1,6,2,8,3,5]
[5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]
[5,4,8,3,6,1,2,7]=>[7,2,1,6,3,8,4,5]
[6,3,8,2,5,1,4,7]=>[7,4,1,5,2,8,3,6]
[6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6]
[6,4,8,3,5,1,2,7]=>[7,2,1,5,3,8,4,6]
[6,5,8,2,4,1,3,7]=>[7,3,1,4,2,8,5,6]
[6,5,8,3,4,1,2,7]=>[7,2,1,4,3,8,5,6]
[4,3,8,2,7,1,5,6]=>[6,5,1,7,2,8,3,4]
[5,3,8,2,7,1,4,6]=>[6,4,1,7,2,8,3,5]
[5,4,8,2,7,1,3,6]=>[6,3,1,7,2,8,4,5]
[5,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,5]
[6,3,8,2,7,1,4,5]=>[5,4,1,7,2,8,3,6]
[6,4,8,2,7,1,3,5]=>[5,3,1,7,2,8,4,6]
[6,4,8,3,7,1,2,5]=>[5,2,1,7,3,8,4,6]
[6,5,8,2,7,1,3,4]=>[4,3,1,7,2,8,5,6]
[6,5,8,3,7,1,2,4]=>[4,2,1,7,3,8,5,6]
[6,5,8,4,7,1,2,3]=>[3,2,1,7,4,8,5,6]
[7,3,8,2,5,1,4,6]=>[6,4,1,5,2,8,3,7]
[7,4,8,2,5,1,3,6]=>[6,3,1,5,2,8,4,7]
[7,4,8,3,5,1,2,6]=>[6,2,1,5,3,8,4,7]
[7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]
[7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]
[7,3,8,2,6,1,4,5]=>[5,4,1,6,2,8,3,7]
[7,4,8,2,6,1,3,5]=>[5,3,1,6,2,8,4,7]
[7,4,8,3,6,1,2,5]=>[5,2,1,6,3,8,4,7]
[7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]
[7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]
[7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]
[7,6,8,2,4,1,3,5]=>[5,3,1,4,2,8,6,7]
[7,6,8,2,5,1,3,4]=>[4,3,1,5,2,8,6,7]
[7,6,8,3,5,1,2,4]=>[4,2,1,5,3,8,6,7]
[8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]
[8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]
[8,4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4,8]
[8,5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5,8]
[8,3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3,8]
[8,4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4,8]
[8,4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4,8]
[8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]
[8,5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5,8]
[8,3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3,8]
[8,4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4,8]
[8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]
[8,5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5,8]
[8,5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5,8]
[8,5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5,8]
[8,6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6,8]
[8,6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6,8]
[8,6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6,8]
[5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]
[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]
[6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]
[6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]
[7,4,3,2,6,1,5,8]=>[8,5,1,6,2,3,4,7]
[7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]
[7,5,4,2,6,1,3,8]=>[8,3,1,6,2,4,5,7]
[7,6,3,2,5,1,4,8]=>[8,4,1,5,2,3,6,7]
[7,6,4,2,5,1,3,8]=>[8,3,1,5,2,4,6,7]
[7,6,5,2,4,1,3,8]=>[8,3,1,4,2,5,6,7]
[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]
[6,4,3,2,8,1,5,7]=>[7,5,1,8,2,3,4,6]
[6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]
[6,5,4,2,8,1,3,7]=>[7,3,1,8,2,4,5,6]
[6,5,4,3,8,1,2,7]=>[7,2,1,8,3,4,5,6]
[7,4,3,2,8,1,5,6]=>[6,5,1,8,2,3,4,7]
[7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]
[7,5,4,2,8,1,3,6]=>[6,3,1,8,2,4,5,7]
[7,5,4,3,8,1,2,6]=>[6,2,1,8,3,4,5,7]
[7,6,3,2,8,1,4,5]=>[5,4,1,8,2,3,6,7]
[7,6,4,2,8,1,3,5]=>[5,3,1,8,2,4,6,7]
[7,6,4,3,8,1,2,5]=>[5,2,1,8,3,4,6,7]
[7,6,5,2,8,1,3,4]=>[4,3,1,8,2,5,6,7]
[7,6,5,3,8,1,2,4]=>[4,2,1,8,3,5,6,7]
[8,4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4,8]
[8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]
[8,5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5,8]
[8,6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6,8]
[8,6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6,8]
[8,6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6,8]
[8,4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4,8]
[8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]
[8,5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5,8]
[8,5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5,8]
[8,6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6,8]
[8,6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6,8]
[8,6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6,8]
[8,6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6,8]
[8,6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6,8]
[8,7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7,8]
[8,7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7,8]
[8,7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7,8]
[8,7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7,8]
[8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8]
[8,7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7,8]
[8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8]
[8,7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7,8]
[8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]
[8,7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7,8]
[8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8]
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]
[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]
[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]
[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]
[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]
[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]
[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]
[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]
[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]
[5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]
[6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]
[6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]
[6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6]
[6,5,4,8,3,7,1,2]=>[2,1,7,3,8,4,5,6]
[7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]
[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]
[7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]
[7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]
[7,6,3,8,2,5,1,4]=>[4,1,5,2,8,3,6,7]
[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]
[7,6,4,8,3,5,1,2]=>[2,1,5,3,8,4,6,7]
[7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]
[8,4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4,8]
[8,5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5,8]
[8,5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5,8]
[8,5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5,8]
[8,6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6,8]
[8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]
[8,6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6,8]
[8,6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6,8]
[8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]
[8,7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7,8]
[8,7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7,8]
[8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]
[6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]
[7,6,4,3,2,8,1,5]=>[5,1,8,2,3,4,6,7]
[7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7]
[7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]
[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]
[8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8]
[8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]
[8,6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6,8]
[8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]
[8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8]
[8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]
[8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8]
[8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8]
[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]
[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]
[8,1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1,8]
[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]
[7,1,2,3,6,4,8,5]=>[5,8,4,6,3,2,1,7]
[5,1,2,3,8,7,4,6]=>[6,4,7,8,3,2,1,5]
[8,1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1,8]
[4,1,2,8,3,7,5,6]=>[6,5,7,3,8,2,1,4]
[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]
[7,1,2,5,3,4,8,6]=>[6,8,4,3,5,2,1,7]
[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]
[7,1,2,6,3,4,8,5]=>[5,8,4,3,6,2,1,7]
[6,1,2,5,3,8,4,7]=>[7,4,8,3,5,2,1,6]
[8,1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1,8]
[8,1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1,8]
[6,1,2,5,3,7,8,4]=>[4,8,7,3,5,2,1,6]
[4,1,2,8,6,3,5,7]=>[7,5,3,6,8,2,1,4]
[4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4]
[4,1,2,7,6,3,8,5]=>[5,8,3,6,7,2,1,4]
[8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]
[8,1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1,8]
[8,1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1,8]
[7,1,2,5,6,3,8,4]=>[4,8,3,6,5,2,1,7]
[4,1,2,5,8,7,3,6]=>[6,3,7,8,5,2,1,4]
[4,1,2,8,6,7,3,5]=>[5,3,7,6,8,2,1,4]
[8,1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1,8]
[3,1,8,2,4,7,5,6]=>[6,5,7,4,2,8,1,3]
[3,1,8,2,6,4,5,7]=>[7,5,4,6,2,8,1,3]
[3,1,8,2,7,4,5,6]=>[6,5,4,7,2,8,1,3]
[3,1,7,2,6,4,8,5]=>[5,8,4,6,2,7,1,3]
[3,1,5,2,8,7,4,6]=>[6,4,7,8,2,5,1,3]
[3,1,8,2,6,7,4,5]=>[5,4,7,6,2,8,1,3]
[8,1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1,8]
[7,1,4,2,3,5,8,6]=>[6,8,5,3,2,4,1,7]
[6,1,4,2,3,8,5,7]=>[7,5,8,3,2,4,1,6]
[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]
[6,1,4,2,3,7,8,5]=>[5,8,7,3,2,4,1,6]
[8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8]
[7,1,5,2,3,4,8,6]=>[6,8,4,3,2,5,1,7]
[8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8]
[6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]
[8,1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1,8]
[6,1,8,2,3,7,4,5]=>[5,4,7,3,2,8,1,6]
[6,1,5,2,3,7,8,4]=>[4,8,7,3,2,5,1,6]
[5,1,4,2,8,3,6,7]=>[7,6,3,8,2,4,1,5]
[5,1,4,2,7,3,8,6]=>[6,8,3,7,2,4,1,5]
[8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]
[8,1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1,8]
[7,1,4,2,6,3,8,5]=>[5,8,3,6,2,4,1,7]
[8,1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1,8]
[8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]
[7,1,8,2,6,3,4,5]=>[5,4,3,6,2,8,1,7]
[7,1,5,2,6,3,8,4]=>[4,8,3,6,2,5,1,7]
[5,1,4,2,6,8,3,7]=>[7,3,8,6,2,4,1,5]
[5,1,4,2,8,7,3,6]=>[6,3,7,8,2,4,1,5]
[8,1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1,8]
[8,1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1,8]
[5,1,4,2,6,7,8,3]=>[3,8,7,6,2,4,1,5]
[3,1,4,8,2,7,5,6]=>[6,5,7,2,8,4,1,3]
[3,1,8,5,2,4,6,7]=>[7,6,4,2,5,8,1,3]
[3,1,7,5,2,4,8,6]=>[6,8,4,2,5,7,1,3]
[3,1,8,6,2,4,5,7]=>[7,5,4,2,6,8,1,3]
[3,1,7,6,2,4,8,5]=>[5,8,4,2,6,7,1,3]
[3,1,6,5,2,8,4,7]=>[7,4,8,2,5,6,1,3]
[3,1,8,5,2,7,4,6]=>[6,4,7,2,5,8,1,3]
[3,1,8,6,2,7,4,5]=>[5,4,7,2,6,8,1,3]
[3,1,6,5,2,7,8,4]=>[4,8,7,2,5,6,1,3]
[8,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,8]
[7,1,4,5,2,3,8,6]=>[6,8,3,2,5,4,1,7]
[8,1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1,8]
[7,1,4,8,2,3,5,6]=>[6,5,3,2,8,4,1,7]
[7,1,4,6,2,3,8,5]=>[5,8,3,2,6,4,1,7]
[8,1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1,8]
[7,1,8,5,2,3,4,6]=>[6,4,3,2,5,8,1,7]
[7,1,8,6,2,3,4,5]=>[5,4,3,2,6,8,1,7]
[7,1,6,5,2,3,8,4]=>[4,8,3,2,5,6,1,7]
[6,1,4,5,2,8,3,7]=>[7,3,8,2,5,4,1,6]
[8,1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1,8]
[8,1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1,8]
[8,1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1,8]
[6,1,4,5,2,7,8,3]=>[3,8,7,2,5,4,1,6]
[3,1,4,8,6,2,5,7]=>[7,5,2,6,8,4,1,3]
[3,1,4,8,7,2,5,6]=>[6,5,2,7,8,4,1,3]
[3,1,4,7,6,2,8,5]=>[5,8,2,6,7,4,1,3]
[3,1,8,5,6,2,4,7]=>[7,4,2,6,5,8,1,3]
[3,1,8,5,7,2,4,6]=>[6,4,2,7,5,8,1,3]
[3,1,8,7,6,2,4,5]=>[5,4,2,6,7,8,1,3]
[3,1,7,5,6,2,8,4]=>[4,8,2,6,5,7,1,3]
[8,1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1,8]
[8,1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1,8]
[8,1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1,8]
[8,1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1,8]
[7,1,4,5,6,2,8,3]=>[3,8,2,6,5,4,1,7]
[3,1,4,5,8,7,2,6]=>[6,2,7,8,5,4,1,3]
[3,1,4,8,6,7,2,5]=>[5,2,7,6,8,4,1,3]
[3,1,8,5,6,7,2,4]=>[4,2,7,6,5,8,1,3]
[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]
[2,8,1,3,4,7,5,6]=>[6,5,7,4,3,1,8,2]
[2,8,1,3,6,4,5,7]=>[7,5,4,6,3,1,8,2]
[2,8,1,3,7,4,5,6]=>[6,5,4,7,3,1,8,2]
[2,7,1,3,6,4,8,5]=>[5,8,4,6,3,1,7,2]
[2,5,1,3,8,7,4,6]=>[6,4,7,8,3,1,5,2]
[2,8,1,3,6,7,4,5]=>[5,4,7,6,3,1,8,2]
[2,4,1,8,3,7,5,6]=>[6,5,7,3,8,1,4,2]
[2,8,1,5,3,4,6,7]=>[7,6,4,3,5,1,8,2]
[2,7,1,5,3,4,8,6]=>[6,8,4,3,5,1,7,2]
[2,8,1,6,3,4,5,7]=>[7,5,4,3,6,1,8,2]
[2,7,1,6,3,4,8,5]=>[5,8,4,3,6,1,7,2]
[2,6,1,5,3,8,4,7]=>[7,4,8,3,5,1,6,2]
[2,8,1,5,3,7,4,6]=>[6,4,7,3,5,1,8,2]
[2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]
[2,6,1,5,3,7,8,4]=>[4,8,7,3,5,1,6,2]
[2,4,1,8,6,3,5,7]=>[7,5,3,6,8,1,4,2]
[2,4,1,8,7,3,5,6]=>[6,5,3,7,8,1,4,2]
[2,4,1,7,6,3,8,5]=>[5,8,3,6,7,1,4,2]
[2,8,1,5,6,3,4,7]=>[7,4,3,6,5,1,8,2]
[2,8,1,5,7,3,4,6]=>[6,4,3,7,5,1,8,2]
[2,8,1,7,6,3,4,5]=>[5,4,3,6,7,1,8,2]
[2,7,1,5,6,3,8,4]=>[4,8,3,6,5,1,7,2]
[2,4,1,5,8,7,3,6]=>[6,3,7,8,5,1,4,2]
[2,4,1,8,6,7,3,5]=>[5,3,7,6,8,1,4,2]
[2,8,1,5,6,7,3,4]=>[4,3,7,6,5,1,8,2]
[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]
[6,3,1,2,4,8,5,7]=>[7,5,8,4,2,1,3,6]
[8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]
[6,3,1,2,4,7,8,5]=>[5,8,7,4,2,1,3,6]
[5,3,1,2,8,4,6,7]=>[7,6,4,8,2,1,3,5]
[5,3,1,2,7,4,8,6]=>[6,8,4,7,2,1,3,5]
[8,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,8]
[8,3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3,8]
[7,3,1,2,6,4,8,5]=>[5,8,4,6,2,1,3,7]
[5,3,1,2,6,8,4,7]=>[7,4,8,6,2,1,3,5]
[5,3,1,2,8,7,4,6]=>[6,4,7,8,2,1,3,5]
[8,3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3,8]
[5,3,1,2,6,7,8,4]=>[4,8,7,6,2,1,3,5]
[7,4,1,2,3,5,8,6]=>[6,8,5,3,2,1,4,7]
[6,4,1,2,3,8,5,7]=>[7,5,8,3,2,1,4,6]
[8,4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4,8]
[6,4,1,2,3,7,8,5]=>[5,8,7,3,2,1,4,6]
[7,6,1,2,3,4,8,5]=>[5,8,4,3,2,1,6,7]
[5,8,1,2,3,7,4,6]=>[6,4,7,3,2,1,8,5]
[8,6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6,8]
[5,4,1,2,8,3,6,7]=>[7,6,3,8,2,1,4,5]
[5,4,1,2,7,3,8,6]=>[6,8,3,7,2,1,4,5]
[8,4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4,8]
[8,4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4,8]
[7,4,1,2,6,3,8,5]=>[5,8,3,6,2,1,4,7]
[5,8,1,2,6,3,4,7]=>[7,4,3,6,2,1,8,5]
[5,8,1,2,7,3,4,6]=>[6,4,3,7,2,1,8,5]
[8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]
[5,7,1,2,6,3,8,4]=>[4,8,3,6,2,1,7,5]
[5,4,1,2,6,8,3,7]=>[7,3,8,6,2,1,4,5]
[5,4,1,2,8,7,3,6]=>[6,3,7,8,2,1,4,5]
[8,4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4,8]
[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]
[5,4,1,2,6,7,8,3]=>[3,8,7,6,2,1,4,5]
[4,3,1,8,2,5,6,7]=>[7,6,5,2,8,1,3,4]
[4,3,1,7,2,5,8,6]=>[6,8,5,2,7,1,3,4]
[4,3,1,6,2,8,5,7]=>[7,5,8,2,6,1,3,4]
[4,3,1,8,2,7,5,6]=>[6,5,7,2,8,1,3,4]
[4,3,1,6,2,7,8,5]=>[5,8,7,2,6,1,3,4]
[8,3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3,8]
[7,3,1,5,2,4,8,6]=>[6,8,4,2,5,1,3,7]
[8,3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3,8]
[7,3,1,8,2,4,5,6]=>[6,5,4,2,8,1,3,7]
[7,3,1,6,2,4,8,5]=>[5,8,4,2,6,1,3,7]
[6,3,1,5,2,8,4,7]=>[7,4,8,2,5,1,3,6]
[8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]
[8,3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3,8]
[6,3,1,5,2,7,8,4]=>[4,8,7,2,5,1,3,6]
[8,4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4,8]
[7,4,1,5,2,3,8,6]=>[6,8,3,2,5,1,4,7]
[8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]
[7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]
[7,4,1,6,2,3,8,5]=>[5,8,3,2,6,1,4,7]
[6,8,1,5,2,3,4,7]=>[7,4,3,2,5,1,8,6]
[8,7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7,8]
[8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]
[6,7,1,5,2,3,8,4]=>[4,8,3,2,5,1,7,6]
[6,4,1,5,2,8,3,7]=>[7,3,8,2,5,1,4,6]
[8,4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4,8]
[8,4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4,8]
[6,8,1,5,2,7,3,4]=>[4,3,7,2,5,1,8,6]
[6,4,1,5,2,7,8,3]=>[3,8,7,2,5,1,4,6]
[4,3,1,5,8,2,6,7]=>[7,6,2,8,5,1,3,4]
[4,3,1,5,7,2,8,6]=>[6,8,2,7,5,1,3,4]
[4,3,1,8,6,2,5,7]=>[7,5,2,6,8,1,3,4]
[4,3,1,8,7,2,5,6]=>[6,5,2,7,8,1,3,4]
[4,3,1,7,6,2,8,5]=>[5,8,2,6,7,1,3,4]
[8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]
[8,3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3,8]
[8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8]
[7,3,1,5,6,2,8,4]=>[4,8,2,6,5,1,3,7]
[8,4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4,8]
[8,4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4,8]
[8,4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4,8]
[7,8,1,5,6,2,3,4]=>[4,3,2,6,5,1,8,7]
[7,4,1,5,6,2,8,3]=>[3,8,2,6,5,1,4,7]
[4,3,1,5,6,8,2,7]=>[7,2,8,6,5,1,3,4]
[4,3,1,5,8,7,2,6]=>[6,2,7,8,5,1,3,4]
[4,3,1,8,6,7,2,5]=>[5,2,7,6,8,1,3,4]
[8,3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3,8]
[8,4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4,8]
[4,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,4]
[2,3,8,1,4,7,5,6]=>[6,5,7,4,1,8,3,2]
[2,3,8,1,6,4,5,7]=>[7,5,4,6,1,8,3,2]
[2,3,8,1,7,4,5,6]=>[6,5,4,7,1,8,3,2]
[2,3,7,1,6,4,8,5]=>[5,8,4,6,1,7,3,2]
[2,3,5,1,8,7,4,6]=>[6,4,7,8,1,5,3,2]
[2,3,8,1,6,7,4,5]=>[5,4,7,6,1,8,3,2]
[2,8,4,1,3,5,6,7]=>[7,6,5,3,1,4,8,2]
[2,7,4,1,3,5,8,6]=>[6,8,5,3,1,4,7,2]
[2,6,4,1,3,8,5,7]=>[7,5,8,3,1,4,6,2]
[2,8,4,1,3,7,5,6]=>[6,5,7,3,1,4,8,2]
[2,6,4,1,3,7,8,5]=>[5,8,7,3,1,4,6,2]
[2,8,5,1,3,4,6,7]=>[7,6,4,3,1,5,8,2]
[2,7,5,1,3,4,8,6]=>[6,8,4,3,1,5,7,2]
[2,8,7,1,3,4,5,6]=>[6,5,4,3,1,7,8,2]
[2,6,5,1,3,8,4,7]=>[7,4,8,3,1,5,6,2]
[2,8,5,1,3,7,4,6]=>[6,4,7,3,1,5,8,2]
[2,6,8,1,3,7,4,5]=>[5,4,7,3,1,8,6,2]
[2,6,5,1,3,7,8,4]=>[4,8,7,3,1,5,6,2]
[2,5,4,1,8,3,6,7]=>[7,6,3,8,1,4,5,2]
[2,5,4,1,7,3,8,6]=>[6,8,3,7,1,4,5,2]
[2,8,4,1,6,3,5,7]=>[7,5,3,6,1,4,8,2]
[2,8,4,1,7,3,5,6]=>[6,5,3,7,1,4,8,2]
[2,7,4,1,6,3,8,5]=>[5,8,3,6,1,4,7,2]
[2,8,5,1,6,3,4,7]=>[7,4,3,6,1,5,8,2]
[2,8,5,1,7,3,4,6]=>[6,4,3,7,1,5,8,2]
[2,7,8,1,6,3,4,5]=>[5,4,3,6,1,8,7,2]
[2,7,5,1,6,3,8,4]=>[4,8,3,6,1,5,7,2]
[2,5,4,1,6,8,3,7]=>[7,3,8,6,1,4,5,2]
[2,5,4,1,8,7,3,6]=>[6,3,7,8,1,4,5,2]
[2,8,4,1,6,7,3,5]=>[5,3,7,6,1,4,8,2]
[2,8,5,1,6,7,3,4]=>[4,3,7,6,1,5,8,2]
[2,5,4,1,6,7,8,3]=>[3,8,7,6,1,4,5,2]
[7,3,4,1,2,5,8,6]=>[6,8,5,2,1,4,3,7]
[6,3,4,1,2,8,5,7]=>[7,5,8,2,1,4,3,6]
[8,3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3,8]
[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]
[7,3,5,1,2,4,8,6]=>[6,8,4,2,1,5,3,7]
[6,3,7,1,2,4,8,5]=>[5,8,4,2,1,7,3,6]
[6,3,5,1,2,8,4,7]=>[7,4,8,2,1,5,3,6]
[8,3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3,8]
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]
[6,3,5,1,2,7,8,4]=>[4,8,7,2,1,5,3,6]
[7,5,4,1,2,3,8,6]=>[6,8,3,2,1,4,5,7]
[6,8,4,1,2,3,5,7]=>[7,5,3,2,1,4,8,6]
[6,7,4,1,2,3,8,5]=>[5,8,3,2,1,4,7,6]
[6,8,5,1,2,3,4,7]=>[7,4,3,2,1,5,8,6]
[6,7,5,1,2,3,8,4]=>[4,8,3,2,1,5,7,6]
[6,5,4,1,2,8,3,7]=>[7,3,8,2,1,4,5,6]
[8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]
[6,8,4,1,2,7,3,5]=>[5,3,7,2,1,4,8,6]
[6,8,5,1,2,7,3,4]=>[4,3,7,2,1,5,8,6]
[6,5,4,1,2,7,8,3]=>[3,8,7,2,1,4,5,6]
[5,3,4,1,8,2,6,7]=>[7,6,2,8,1,4,3,5]
[5,3,4,1,7,2,8,6]=>[6,8,2,7,1,4,3,5]
[8,3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3,8]
[8,3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3,8]
[7,3,4,1,6,2,8,5]=>[5,8,2,6,1,4,3,7]
[8,3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3,8]
[8,3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3,8]
[7,3,8,1,6,2,4,5]=>[5,4,2,6,1,8,3,7]
[7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]
[8,5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5,8]
[8,5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5,8]
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]
[7,8,5,1,6,2,3,4]=>[4,3,2,6,1,5,8,7]
[7,5,4,1,6,2,8,3]=>[3,8,2,6,1,4,5,7]
[5,3,4,1,6,8,2,7]=>[7,2,8,6,1,4,3,5]
[5,3,4,1,8,7,2,6]=>[6,2,7,8,1,4,3,5]
[8,3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3,8]
[8,3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3,8]
[8,5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5,8]
[5,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,5]
[2,3,4,8,1,7,5,6]=>[6,5,7,1,8,4,3,2]
[2,3,8,5,1,4,6,7]=>[7,6,4,1,5,8,3,2]
[2,3,7,5,1,4,8,6]=>[6,8,4,1,5,7,3,2]
[2,3,8,6,1,4,5,7]=>[7,5,4,1,6,8,3,2]
[2,3,7,6,1,4,8,5]=>[5,8,4,1,6,7,3,2]
[2,3,6,5,1,8,4,7]=>[7,4,8,1,5,6,3,2]
[2,3,8,5,1,7,4,6]=>[6,4,7,1,5,8,3,2]
[2,3,8,6,1,7,4,5]=>[5,4,7,1,6,8,3,2]
[2,3,6,5,1,7,8,4]=>[4,8,7,1,5,6,3,2]
[2,8,4,5,1,3,6,7]=>[7,6,3,1,5,4,8,2]
[2,7,4,5,1,3,8,6]=>[6,8,3,1,5,4,7,2]
[2,8,4,6,1,3,5,7]=>[7,5,3,1,6,4,8,2]
[2,7,4,8,1,3,5,6]=>[6,5,3,1,8,4,7,2]
[2,7,4,6,1,3,8,5]=>[5,8,3,1,6,4,7,2]
[2,8,6,5,1,3,4,7]=>[7,4,3,1,5,6,8,2]
[2,7,8,5,1,3,4,6]=>[6,4,3,1,5,8,7,2]
[2,7,8,6,1,3,4,5]=>[5,4,3,1,6,8,7,2]
[2,7,6,5,1,3,8,4]=>[4,8,3,1,5,6,7,2]
[2,6,4,5,1,8,3,7]=>[7,3,8,1,5,4,6,2]
[2,8,4,5,1,7,3,6]=>[6,3,7,1,5,4,8,2]
[2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]
[2,8,6,5,1,7,3,4]=>[4,3,7,1,5,6,8,2]
[2,6,4,5,1,7,8,3]=>[3,8,7,1,5,4,6,2]
[7,3,4,5,1,2,8,6]=>[6,8,2,1,5,4,3,7]
[7,3,4,6,1,2,8,5]=>[5,8,2,1,6,4,3,7]
[8,3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3,8]
[7,3,8,5,1,2,4,6]=>[6,4,2,1,5,8,3,7]
[7,3,8,6,1,2,4,5]=>[5,4,2,1,6,8,3,7]
[7,3,6,5,1,2,8,4]=>[4,8,2,1,5,6,3,7]
[7,6,4,5,1,2,8,3]=>[3,8,2,1,5,4,6,7]
[6,3,4,5,1,8,2,7]=>[7,2,8,1,5,4,3,6]
[8,3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3,8]
[8,3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3,8]
[8,3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3,8]
[8,6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6,8]
[6,3,4,5,1,7,8,2]=>[2,8,7,1,5,4,3,6]
[2,3,4,8,6,1,5,7]=>[7,5,1,6,8,4,3,2]
[2,3,4,8,7,1,5,6]=>[6,5,1,7,8,4,3,2]
[2,3,4,7,6,1,8,5]=>[5,8,1,6,7,4,3,2]
[2,3,8,5,6,1,4,7]=>[7,4,1,6,5,8,3,2]
[2,3,8,5,7,1,4,6]=>[6,4,1,7,5,8,3,2]
[2,3,8,7,6,1,4,5]=>[5,4,1,6,7,8,3,2]
[2,3,7,5,6,1,8,4]=>[4,8,1,6,5,7,3,2]
[2,8,4,5,6,1,3,7]=>[7,3,1,6,5,4,8,2]
[2,8,4,5,7,1,3,6]=>[6,3,1,7,5,4,8,2]
[2,8,4,7,6,1,3,5]=>[5,3,1,6,7,4,8,2]
[2,8,7,5,6,1,3,4]=>[4,3,1,6,5,7,8,2]
[2,7,4,5,6,1,8,3]=>[3,8,1,6,5,4,7,2]
[8,3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3,8]
[8,3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3,8]
[8,3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3,8]
[7,3,4,5,6,1,8,2]=>[2,8,1,6,5,4,3,7]
[2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2]
[2,3,4,8,6,7,1,5]=>[5,1,7,6,8,4,3,2]
[2,3,8,5,6,7,1,4]=>[4,1,7,6,5,8,3,2]
[2,8,4,5,6,7,1,3]=>[3,1,7,6,5,4,8,2]
[3,5,2,6,1,4,8,7]=>[7,8,4,1,6,2,5,3]
[3,5,2,6,4,1,8,7]=>[7,8,1,4,6,2,5,3]
[3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]
[3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]
[4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]
[4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]
[4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]
[4,5,6,2,1,3,8,7]=>[7,8,3,1,2,6,5,4]
[3,5,1,6,4,2,8,7]=>[7,8,2,4,6,1,5,3]
[4,5,6,1,3,2,8,7]=>[7,8,2,3,1,6,5,4]
[4,5,6,3,1,2,8,7]=>[7,8,2,1,3,6,5,4]
[4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]
[4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]
[4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]
[4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]
[4,6,7,3,8,1,2,5]=>[5,2,1,8,3,7,6,4]
[4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]
[4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]
[3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]
[2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]
[2,1,5,7,4,8,6,3]=>[3,6,8,4,7,5,1,2]
[3,5,1,7,4,8,6,2]=>[2,6,8,4,7,1,5,3]
[4,5,7,1,3,8,6,2]=>[2,6,8,3,1,7,5,4]
[4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]
[4,6,7,3,8,1,5,2]=>[2,5,1,8,3,7,6,4]
[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]
[4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]
[5,6,7,8,3,1,4,2]=>[2,4,1,3,8,7,6,5]
[5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]
[4,6,7,1,8,3,5,2]=>[2,5,3,8,1,7,6,4]
[3,6,1,7,8,4,5,2]=>[2,5,4,8,7,1,6,3]
[2,1,6,7,8,4,5,3]=>[3,5,4,8,7,6,1,2]
[2,1,6,7,8,4,3,5]=>[5,3,4,8,7,6,1,2]
[3,6,1,7,8,4,2,5]=>[5,2,4,8,7,1,6,3]
[4,6,7,1,8,3,2,5]=>[5,2,3,8,1,7,6,4]
[5,6,7,8,1,3,2,4]=>[4,2,3,1,8,7,6,5]
[4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]
[4,6,7,2,8,1,3,5]=>[5,3,1,8,2,7,6,4]
[4,6,7,2,8,3,1,5]=>[5,1,3,8,2,7,6,4]
[4,6,7,2,8,3,5,1]=>[1,5,3,8,2,7,6,4]
[3,6,2,7,8,4,5,1]=>[1,5,4,8,7,2,6,3]
[3,6,2,7,8,4,1,5]=>[5,1,4,8,7,2,6,3]
[3,6,2,7,8,1,4,5]=>[5,4,1,8,7,2,6,3]
[3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]
[3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]
[3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]
[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]
[3,6,2,7,8,1,5,4]=>[4,5,1,8,7,2,6,3]
[3,6,2,7,8,5,1,4]=>[4,1,5,8,7,2,6,3]
[3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]
[4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]
[4,6,7,2,8,5,1,3]=>[3,1,5,8,2,7,6,4]
[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]
[4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]
[4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]
[3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]
[2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]
[2,1,6,7,8,3,5,4]=>[4,5,3,8,7,6,1,2]
[3,6,1,7,8,2,5,4]=>[4,5,2,8,7,1,6,3]
[4,6,7,1,8,2,5,3]=>[3,5,2,8,1,7,6,4]
[5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]
[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]
[5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]
[5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]
[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]
[4,6,7,1,8,5,2,3]=>[3,2,5,8,1,7,6,4]
[3,6,1,7,8,5,2,4]=>[4,2,5,8,7,1,6,3]
[2,1,6,7,8,5,3,4]=>[4,3,5,8,7,6,1,2]
[3,6,1,7,8,5,4,2]=>[2,4,5,8,7,1,6,3]
[4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]
[5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]
[5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]
[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]
[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]
[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]
[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]
[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]
[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]
[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]
[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]
[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]
[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]
[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]
[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]
[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]
[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]
[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]
[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]
[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]
[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]
[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]
[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]
[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]
[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]
[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]
[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]
[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]
[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]
[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]
[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]
[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]
[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]
[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]
[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]
[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]
[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]
[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]
[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]
[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]
[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]
[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]
[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]
[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]
[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]
[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]
[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]
[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]
[5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]
[6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]
[7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]
[8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]
[7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]
[6,4,5,1,2,3,8,7]=>[7,8,3,2,1,5,4,6]
[5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]
[2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]
[3,6,1,5,2,4,8,7]=>[7,8,4,2,5,1,6,3]
[4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]
[5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]
[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]
[7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]
[8,6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6,8]
[7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]
[6,7,4,1,8,2,3,5]=>[5,3,2,8,1,4,7,6]
[5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]
[4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]
[3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]
[2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]
[2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]
[3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]
[4,8,5,1,2,7,3,6]=>[6,3,7,2,1,5,8,4]
[5,8,4,1,2,7,3,6]=>[6,3,7,2,1,4,8,5]
[6,8,4,1,7,2,3,5]=>[5,3,2,7,1,4,8,6]
[8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]
[5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]
[4,8,6,1,7,2,3,5]=>[5,3,2,7,1,6,8,4]
[3,8,1,6,7,2,4,5]=>[5,4,2,7,6,1,8,3]
[2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]
[2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]
[3,7,1,6,8,2,4,5]=>[5,4,2,8,6,1,7,3]
[4,7,6,1,8,2,3,5]=>[5,3,2,8,1,6,7,4]
[5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]
[5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]
[6,4,7,1,8,2,3,5]=>[5,3,2,8,1,7,4,6]
[7,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,7]
[8,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,8]
[8,3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3,8]
[7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7]
[6,3,1,7,8,2,4,5]=>[5,4,2,8,7,1,3,6]
[5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]
[4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]
[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]
[3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]
[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]
[7,3,1,8,6,2,4,5]=>[5,4,2,6,8,1,3,7]
[8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]
[7,4,8,1,6,2,3,5]=>[5,3,2,6,1,8,4,7]
[5,4,8,1,2,7,3,6]=>[6,3,7,2,1,8,4,5]
[4,5,8,1,2,7,3,6]=>[6,3,7,2,1,8,5,4]
[3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]
[2,1,5,8,3,7,4,6]=>[6,4,7,3,8,5,1,2]
[2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]
[3,6,1,8,7,2,4,5]=>[5,4,2,7,8,1,6,3]
[4,6,8,1,7,2,3,5]=>[5,3,2,7,1,8,6,4]
[5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]
[7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]
[8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]
[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]
[4,7,8,1,6,2,3,5]=>[5,3,2,6,1,8,7,4]
[3,7,1,8,6,2,4,5]=>[5,4,2,6,8,1,7,3]
[2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]
[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]
[3,8,1,7,6,2,4,5]=>[5,4,2,6,7,1,8,3]
[4,8,7,1,6,2,3,5]=>[5,3,2,6,1,7,8,4]
[5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]
[6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]
[6,4,7,3,8,5,1,2]=>[2,1,5,8,3,7,4,6]
[6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]
[6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]
[5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]
[5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]
[5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]
[5,4,3,7,8,6,1,2]=>[2,1,6,8,7,3,4,5]
[6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]
[5,4,3,8,6,7,1,2]=>[2,1,7,6,8,3,4,5]
[5,4,3,6,8,7,1,2]=>[2,1,7,8,6,3,4,5]
[5,4,2,6,7,1,8,3]=>[3,8,1,7,6,2,4,5]
[5,4,2,6,7,1,3,8]=>[8,3,1,7,6,2,4,5]
[5,3,2,6,1,7,4,8]=>[8,4,7,1,6,2,3,5]
[5,3,2,6,1,7,8,4]=>[4,8,7,1,6,2,3,5]
[5,3,2,6,1,8,7,4]=>[4,7,8,1,6,2,3,5]
[5,4,2,6,8,1,7,3]=>[3,7,1,8,6,2,4,5]
[5,4,2,8,6,1,7,3]=>[3,7,1,6,8,2,4,5]
[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]
[7,8,4,2,5,1,6,3]=>[3,6,1,5,2,4,8,7]
[7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]
[5,4,2,8,6,1,3,7]=>[7,3,1,6,8,2,4,5]
[5,3,2,6,1,8,4,7]=>[7,4,8,1,6,2,3,5]
[4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]
[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]
[5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]
[6,3,8,2,1,5,4,7]=>[7,4,5,1,2,8,3,6]
[7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]
[7,8,3,2,1,5,6,4]=>[4,6,5,1,2,3,8,7]
[6,3,8,2,1,5,7,4]=>[4,7,5,1,2,8,3,6]
[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]
[5,4,2,7,8,1,6,3]=>[3,6,1,8,7,2,4,5]
[5,3,2,7,1,8,6,4]=>[4,6,8,1,7,2,3,5]
[5,3,2,7,1,6,8,4]=>[4,8,6,1,7,2,3,5]
[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]
[6,3,7,2,1,5,4,8]=>[8,4,5,1,2,7,3,6]
[6,3,7,2,1,5,8,4]=>[4,8,5,1,2,7,3,6]
[6,3,7,2,1,8,5,4]=>[4,5,8,1,2,7,3,6]
[6,4,7,2,8,1,5,3]=>[3,5,1,8,2,7,4,6]
[6,5,7,8,2,1,4,3]=>[3,4,1,2,8,7,5,6]
[6,5,8,7,2,1,3,4]=>[4,3,1,2,7,8,5,6]
[6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]
[6,3,7,2,1,4,8,5]=>[5,8,4,1,2,7,3,6]
[6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]
[5,3,2,7,1,4,8,6]=>[6,8,4,1,7,2,3,5]
[5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]
[7,8,4,2,6,1,3,5]=>[5,3,1,6,2,4,8,7]
[7,8,3,2,1,6,4,5]=>[5,4,6,1,2,3,8,7]
[6,3,8,2,1,7,4,5]=>[5,4,7,1,2,8,3,6]
[5,3,2,8,1,7,4,6]=>[6,4,7,1,8,2,3,5]
[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]
[4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]
[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]
[4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]
[5,3,2,8,1,4,7,6]=>[6,7,4,1,8,2,3,5]
[6,3,8,2,1,4,7,5]=>[5,7,4,1,2,8,3,6]
[7,8,3,2,1,4,6,5]=>[5,6,4,1,2,3,8,7]
[6,3,8,2,1,4,5,7]=>[7,5,4,1,2,8,3,6]
[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]
[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]
[7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]
[7,8,4,1,6,2,5,3]=>[3,5,2,6,1,4,8,7]
[7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]
[6,1,8,4,7,2,5,3]=>[3,5,2,7,4,8,1,6]
[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]
[1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]
[6,1,8,3,2,7,5,4]=>[4,5,7,2,3,8,1,6]
[7,8,1,3,2,6,5,4]=>[4,5,6,2,3,1,8,7]
[7,8,3,1,2,6,5,4]=>[4,5,6,2,1,3,8,7]
[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]
[7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]
[7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]
[7,8,2,1,3,6,5,4]=>[4,5,6,3,1,2,8,7]
[7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]
[6,1,8,2,3,7,5,4]=>[4,5,7,3,2,8,1,6]
[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]
[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]
[5,1,2,8,3,7,6,4]=>[4,6,7,3,8,2,1,5]
[5,2,1,8,3,7,6,4]=>[4,6,7,3,8,1,2,5]
[6,2,8,1,3,7,5,4]=>[4,5,7,3,1,8,2,6]
[6,2,8,3,1,7,5,4]=>[4,5,7,1,3,8,2,6]
[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]
[6,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,6]
[3,6,8,4,7,5,1,2]=>[2,1,5,7,4,8,6,3]
[2,6,8,4,7,1,5,3]=>[3,5,1,7,4,8,6,2]
[2,6,8,3,1,7,5,4]=>[4,5,7,1,3,8,6,2]
[2,6,8,1,3,7,5,4]=>[4,5,7,3,1,8,6,2]
[2,5,1,8,3,7,6,4]=>[4,6,7,3,8,1,5,2]
[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]
[2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]
[2,5,3,8,1,7,6,4]=>[4,6,7,1,8,3,5,2]
[2,5,4,8,7,1,6,3]=>[3,6,1,7,8,4,5,2]
[3,5,4,8,7,6,1,2]=>[2,1,6,7,8,4,5,3]
[5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]
[5,2,4,8,7,1,6,3]=>[3,6,1,7,8,4,2,5]
[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]
[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]
[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]
[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]
[4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]
[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]
[6,3,8,1,2,7,5,4]=>[4,5,7,2,1,8,3,6]
[5,3,1,8,2,7,6,4]=>[4,6,7,2,8,1,3,5]
[5,1,3,8,2,7,6,4]=>[4,6,7,2,8,3,1,5]
[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]
[1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]
[5,1,4,8,7,2,6,3]=>[3,6,2,7,8,4,1,5]
[5,4,1,8,7,2,6,3]=>[3,6,2,7,8,1,4,5]
[6,4,8,1,7,2,5,3]=>[3,5,2,7,1,8,4,6]
[6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]
[5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]
[5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]
[4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]
[4,1,5,8,7,2,6,3]=>[3,6,2,7,8,5,1,4]
[1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]
[1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]
[3,1,5,8,2,7,6,4]=>[4,6,7,2,8,5,1,3]
[3,6,8,1,2,7,5,4]=>[4,5,7,2,1,8,6,3]
[3,6,8,2,1,7,5,4]=>[4,5,7,1,2,8,6,3]
[4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]
[4,6,8,3,7,5,1,2]=>[2,1,5,7,3,8,6,4]
[4,5,3,8,7,6,1,2]=>[2,1,6,7,8,3,5,4]
[4,5,2,8,7,1,6,3]=>[3,6,1,7,8,2,5,4]
[3,5,2,8,1,7,6,4]=>[4,6,7,1,8,2,5,3]
[3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]
[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]
[3,2,5,8,1,7,6,4]=>[4,6,7,1,8,5,2,3]
[4,2,5,8,7,1,6,3]=>[3,6,1,7,8,5,2,4]
[4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]
[3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]
[2,4,5,8,7,1,6,3]=>[3,6,1,7,8,5,4,2]
[2,3,5,8,1,7,6,4]=>[4,6,7,1,8,5,3,2]
[4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]
[5,1,3,2,6,4,8,7]=>[7,8,4,6,2,3,1,5]
[6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]
[7,1,3,2,5,4,8,6]=>[6,8,4,5,2,3,1,7]
[8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]
[8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]
[7,1,4,2,5,3,8,6]=>[6,8,3,5,2,4,1,7]
[6,1,4,2,5,3,8,7]=>[7,8,3,5,2,4,1,6]
[5,1,4,2,6,3,8,7]=>[7,8,3,6,2,4,1,5]
[2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]
[3,1,6,2,5,4,8,7]=>[7,8,4,5,2,6,1,3]
[4,1,6,2,5,3,8,7]=>[7,8,3,5,2,6,1,4]
[6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]
[5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]
[5,2,7,1,4,3,8,6]=>[6,8,3,4,1,7,2,5]
[5,2,8,1,4,3,7,6]=>[6,7,3,4,1,8,2,5]
[6,2,8,1,4,3,7,5]=>[5,7,3,4,1,8,2,6]
[6,2,7,1,4,3,8,5]=>[5,8,3,4,1,7,2,6]
[7,2,6,1,4,3,8,5]=>[5,8,3,4,1,6,2,7]
[7,2,5,1,4,3,8,6]=>[6,8,3,4,1,5,2,7]
[4,1,7,2,5,3,8,6]=>[6,8,3,5,2,7,1,4]
[3,1,7,2,5,4,8,6]=>[6,8,4,5,2,7,1,3]
[2,1,7,3,5,4,8,6]=>[6,8,4,5,3,7,1,2]
[2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]
[3,1,8,2,5,4,7,6]=>[6,7,4,5,2,8,1,3]
[4,1,8,2,5,3,7,6]=>[6,7,3,5,2,8,1,4]
[8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]
[8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]
[7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]
[8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]
[8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]
[7,1,5,3,8,2,6,4]=>[4,6,2,8,3,5,1,7]
[8,2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2,8]
[5,1,8,2,6,3,7,4]=>[4,7,3,6,2,8,1,5]
[4,1,8,2,6,3,7,5]=>[5,7,3,6,2,8,1,4]
[3,1,8,2,6,4,7,5]=>[5,7,4,6,2,8,1,3]
[2,1,8,3,6,4,7,5]=>[5,7,4,6,3,8,1,2]
[2,1,7,3,6,4,8,5]=>[5,8,4,6,3,7,1,2]
[4,1,7,2,6,3,8,5]=>[5,8,3,6,2,7,1,4]
[5,1,7,2,6,3,8,4]=>[4,8,3,6,2,7,1,5]
[7,2,6,1,5,3,8,4]=>[4,8,3,5,1,6,2,7]
[6,2,7,1,5,3,8,4]=>[4,8,3,5,1,7,2,6]
[6,2,8,1,5,3,7,4]=>[4,7,3,5,1,8,2,6]
[8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]
[6,1,5,2,7,3,8,4]=>[4,8,3,7,2,5,1,6]
[6,1,4,2,7,3,8,5]=>[5,8,3,7,2,4,1,6]
[8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]
[8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]
[7,1,3,2,6,4,8,5]=>[5,8,4,6,2,3,1,7]
[6,1,3,2,7,4,8,5]=>[5,8,4,7,2,3,1,6]
[5,1,3,2,7,4,8,6]=>[6,8,4,7,2,3,1,5]
[4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]
[2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]
[3,1,4,2,8,5,7,6]=>[6,7,5,8,2,4,1,3]
[4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]
[5,1,3,2,8,4,7,6]=>[6,7,4,8,2,3,1,5]
[6,1,3,2,8,4,7,5]=>[5,7,4,8,2,3,1,6]
[8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]
[7,4,8,1,3,2,6,5]=>[5,6,2,3,1,8,4,7]
[7,3,8,1,4,2,6,5]=>[5,6,2,4,1,8,3,7]
[8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]
[6,1,4,2,8,3,7,5]=>[5,7,3,8,2,4,1,6]
[5,1,4,2,8,3,7,6]=>[6,7,3,8,2,4,1,5]
[4,1,5,2,8,3,7,6]=>[6,7,3,8,2,5,1,4]
[3,1,5,2,8,4,7,6]=>[6,7,4,8,2,5,1,3]
[2,1,5,3,8,4,7,6]=>[6,7,4,8,3,5,1,2]
[2,1,6,3,8,4,7,5]=>[5,7,4,8,3,6,1,2]
[3,1,6,2,8,4,7,5]=>[5,7,4,8,2,6,1,3]
[4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]
[5,1,6,2,8,3,7,4]=>[4,7,3,8,2,6,1,5]
[6,1,5,2,8,3,7,4]=>[4,7,3,8,2,5,1,6]
[8,3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3,8]
[7,3,8,1,5,2,6,4]=>[4,6,2,5,1,8,3,7]
[6,2,7,3,8,1,5,4]=>[4,5,1,8,3,7,2,6]
[6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]
[8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]
[5,1,8,3,7,2,6,4]=>[4,6,2,7,3,8,1,5]
[4,1,8,3,7,2,6,5]=>[5,6,2,7,3,8,1,4]
[3,1,8,4,7,2,6,5]=>[5,6,2,7,4,8,1,3]
[2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]
[2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]
[3,1,7,4,8,2,6,5]=>[5,6,2,8,4,7,1,3]
[4,1,7,3,8,2,6,5]=>[5,6,2,8,3,7,1,4]
[5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5]
[7,3,8,2,6,1,5,4]=>[4,5,1,6,2,8,3,7]
[8,2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2,8]
[7,2,6,3,8,1,5,4]=>[4,5,1,8,3,6,2,7]
[3,4,2,6,8,1,5,7]=>[7,5,1,8,6,2,4,3]
[5,3,6,2,8,1,4,7]=>[7,4,1,8,2,6,3,5]
[5,3,6,2,4,8,1,7]=>[7,1,8,4,2,6,3,5]
[5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]
[5,7,3,8,2,4,6,1]=>[1,6,4,2,8,3,7,5]
[7,4,2,5,8,3,6,1]=>[1,6,3,8,5,2,4,7]
[7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]
[4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]
[4,5,2,1,6,8,3,7]=>[7,3,8,6,1,2,5,4]
[5,3,1,6,8,2,4,7]=>[7,4,2,8,6,1,3,5]
[5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]
[3,5,6,1,4,8,2,7]=>[7,2,8,4,1,6,5,3]
[4,1,5,6,3,8,2,7]=>[7,2,8,3,6,5,1,4]
[4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]
[4,5,6,3,2,8,1,7]=>[7,1,8,2,3,6,5,4]
[7,4,5,3,8,2,1,6]=>[6,1,2,8,3,5,4,7]
[7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]
[6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]
[6,7,4,8,3,2,1,5]=>[5,1,2,3,8,4,7,6]
[6,7,4,1,8,3,2,5]=>[5,2,3,8,1,4,7,6]
[7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]
[4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]
[5,3,7,8,1,4,2,6]=>[6,2,4,1,8,7,3,5]
[7,5,8,2,4,6,1,3]=>[3,1,6,4,2,8,5,7]
[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]
[4,5,1,7,8,3,6,2]=>[2,6,3,8,7,1,5,4]
[7,4,1,5,8,3,6,2]=>[2,6,3,8,5,1,4,7]
[6,7,4,3,8,1,5,2]=>[2,5,1,8,3,4,7,6]
[6,7,4,8,3,1,5,2]=>[2,5,1,3,8,4,7,6]
[6,7,4,8,3,5,2,1]=>[1,2,5,3,8,4,7,6]
[5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]
[5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5]
[5,6,1,7,3,8,4,2]=>[2,4,8,3,7,1,6,5]
[5,1,6,7,3,8,4,2]=>[2,4,8,3,7,6,1,5]
[6,4,7,1,8,3,5,2]=>[2,5,3,8,1,7,4,6]
[6,7,8,3,1,4,5,2]=>[2,5,4,1,3,8,7,6]
[6,7,2,8,4,5,1,3]=>[3,1,5,4,8,2,7,6]
[6,7,2,8,4,1,3,5]=>[5,3,1,4,8,2,7,6]
[6,1,7,4,8,3,2,5]=>[5,2,3,8,4,7,1,6]
[5,1,6,7,3,2,8,4]=>[4,8,2,3,7,6,1,5]
[5,6,1,7,3,2,8,4]=>[4,8,2,3,7,1,6,5]
[5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]
[5,6,7,3,2,8,4,1]=>[1,4,8,2,3,7,6,5]
[5,6,2,7,3,8,4,1]=>[1,4,8,3,7,2,6,5]
[5,6,2,7,3,1,8,4]=>[4,8,1,3,7,2,6,5]
[5,6,2,1,7,3,8,4]=>[4,8,3,7,1,2,6,5]
[6,1,7,4,2,8,3,5]=>[5,3,8,2,4,7,1,6]
[6,7,2,1,8,3,4,5]=>[5,4,3,8,1,2,7,6]
[7,5,8,2,1,3,4,6]=>[6,4,3,1,2,8,5,7]
[5,7,3,1,8,2,4,6]=>[6,4,2,8,1,3,7,5]
[4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]
[7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]
[6,7,4,2,1,8,3,5]=>[5,3,8,1,2,4,7,6]
[6,7,4,2,8,3,1,5]=>[5,1,3,8,2,4,7,6]
[6,7,4,2,8,3,5,1]=>[1,5,3,8,2,4,7,6]
[3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]
[3,6,7,2,8,4,1,5]=>[5,1,4,8,2,7,6,3]
[3,6,7,2,1,8,4,5]=>[5,4,8,1,2,7,6,3]
[5,7,3,8,2,1,4,6]=>[6,4,1,2,8,3,7,5]
[3,4,7,8,2,1,5,6]=>[6,5,1,2,8,7,4,3]
[3,7,8,1,4,6,2,5]=>[5,2,6,4,1,8,7,3]
[3,4,7,8,2,6,1,5]=>[5,1,6,2,8,7,4,3]
[5,7,3,8,2,6,1,4]=>[4,1,6,2,8,3,7,5]
[3,6,7,2,8,5,1,4]=>[4,1,5,8,2,7,6,3]
[3,6,7,8,5,2,1,4]=>[4,1,2,5,8,7,6,3]
[3,6,7,8,5,2,4,1]=>[1,4,2,5,8,7,6,3]
[6,4,7,8,2,5,3,1]=>[1,3,5,2,8,7,4,6]
[6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]
[4,1,5,7,8,2,6,3]=>[3,6,2,8,7,5,1,4]
[5,3,7,8,1,6,2,4]=>[4,2,6,1,8,7,3,5]
[6,7,2,8,5,1,3,4]=>[4,3,1,5,8,2,7,6]
[6,4,1,7,8,2,5,3]=>[3,5,2,8,7,1,4,6]
[5,1,6,2,7,8,4,3]=>[3,4,8,7,2,6,1,5]
[5,6,2,1,7,8,4,3]=>[3,4,8,7,1,2,6,5]
[5,6,2,7,1,8,4,3]=>[3,4,8,1,7,2,6,5]
[5,6,2,7,8,4,3,1]=>[1,3,4,8,7,2,6,5]
[5,6,7,2,8,4,3,1]=>[1,3,4,8,2,7,6,5]
[5,6,7,2,1,8,4,3]=>[3,4,8,1,2,7,6,5]
[5,6,1,7,2,8,4,3]=>[3,4,8,2,7,1,6,5]
[5,1,6,7,2,8,4,3]=>[3,4,8,2,7,6,1,5]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]
[3,6,7,1,8,5,2,4]=>[4,2,5,8,1,7,6,3]
[6,7,8,5,2,4,1,3]=>[3,1,4,2,5,8,7,6]
[6,7,8,3,5,1,4,2]=>[2,4,1,5,3,8,7,6]
[4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]
[5,1,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]
[5,6,1,7,8,4,3,2]=>[2,3,4,8,7,1,6,5]
[5,6,7,1,8,4,3,2]=>[2,3,4,8,1,7,6,5]
[8,6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6,8]
[8,3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3,8]
[8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]
[5,3,2,7,4,1,8,6]=>[6,8,1,4,7,2,3,5]
[7,5,3,8,2,4,6,1]=>[1,6,4,2,8,3,5,7]
[7,2,4,5,8,3,6,1]=>[1,6,3,8,5,4,2,7]
[2,4,5,3,7,1,8,6]=>[6,8,1,7,3,5,4,2]
[8,2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2,8]
[8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]
[8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]
[8,2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2,8]
[8,5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5,8]
[8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8]
[8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]
[8,1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1,8]
[4,5,3,7,2,1,8,6]=>[6,8,1,2,7,3,5,4]
[7,4,5,8,3,2,6,1]=>[1,6,2,3,8,5,4,7]
[4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]
[4,3,6,7,2,8,1,5]=>[5,1,8,2,7,6,3,4]
[1,4,3,6,7,2,8,5]=>[5,8,2,7,6,3,4,1]
[4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]
[4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]
[5,3,4,7,1,2,8,6]=>[6,8,2,1,7,4,3,5]
[7,5,8,2,1,4,6,3]=>[3,6,4,1,2,8,5,7]
[7,5,3,8,4,1,6,2]=>[2,6,1,4,8,3,5,7]
[7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]
[4,3,6,7,8,1,5,2]=>[2,5,1,8,7,6,3,4]
[1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]
[6,4,7,8,3,5,2,1]=>[1,2,5,3,8,7,4,6]
[3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3]
[3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3]
[4,6,1,7,8,3,5,2]=>[2,5,3,8,7,1,6,4]
[3,6,7,1,4,8,5,2]=>[2,5,8,4,1,7,6,3]
[6,2,4,1,7,8,5,3]=>[3,5,8,7,1,4,2,6]
[2,6,7,1,4,8,3,5]=>[5,3,8,4,1,7,6,2]
[4,3,6,7,8,1,2,5]=>[5,2,1,8,7,6,3,4]
[1,5,3,6,7,8,2,4]=>[4,2,8,7,6,3,5,1]
[3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]
[3,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,3]
[5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]
[5,3,1,7,8,2,4,6]=>[6,4,2,8,7,1,3,5]
[4,5,2,7,8,1,3,6]=>[6,3,1,8,7,2,5,4]
[4,2,6,7,8,3,1,5]=>[5,1,3,8,7,6,2,4]
[4,2,6,7,8,3,5,1]=>[1,5,3,8,7,6,2,4]
[3,6,2,7,4,8,5,1]=>[1,5,8,4,7,2,6,3]
[3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]
[3,2,1,6,4,7,8,5]=>[5,8,7,4,6,1,2,3]
[3,7,4,2,1,5,8,6]=>[6,8,5,1,2,4,7,3]
[1,7,3,4,2,5,8,6]=>[6,8,5,2,4,3,7,1]
[4,7,2,1,3,5,8,6]=>[6,8,5,3,1,2,7,4]
[7,8,4,2,1,3,6,5]=>[5,6,3,1,2,4,8,7]
[7,8,1,3,4,2,6,5]=>[5,6,2,4,3,1,8,7]
[7,8,3,4,2,1,6,5]=>[5,6,1,2,4,3,8,7]
[6,3,2,7,1,8,5,4]=>[4,5,8,1,7,2,3,6]
[3,6,2,7,1,8,5,4]=>[4,5,8,1,7,2,6,3]
[6,7,3,8,2,5,4,1]=>[1,4,5,2,8,3,7,6]
[6,4,7,8,5,2,3,1]=>[1,3,2,5,8,7,4,6]
[2,6,4,7,8,1,5,3]=>[3,5,1,8,7,4,6,2]
[4,6,2,7,8,1,5,3]=>[3,5,1,8,7,2,6,4]
[7,4,5,8,6,2,1,3]=>[3,1,2,6,8,5,4,7]
[7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]
[7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]
[7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]
[6,2,7,1,3,8,5,4]=>[4,5,8,3,1,7,2,6]
[6,3,1,7,8,2,5,4]=>[4,5,2,8,7,1,3,6]
[4,6,1,7,8,5,2,3]=>[3,2,5,8,7,1,6,4]
[5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]
[5,2,6,7,8,4,1,3]=>[3,1,4,8,7,6,2,5]
[5,2,6,7,8,4,3,1]=>[1,3,4,8,7,6,2,5]
[2,5,6,7,8,4,1,3]=>[3,1,4,8,7,6,5,2]
[1,5,2,6,7,8,4,3]=>[3,4,8,7,6,2,5,1]
[1,6,4,7,8,5,2,3]=>[3,2,5,8,7,4,6,1]
[2,6,7,1,3,8,5,4]=>[4,5,8,3,1,7,6,2]
[6,7,8,2,1,5,4,3]=>[3,4,5,1,2,8,7,6]
[6,7,3,8,5,1,4,2]=>[2,4,1,5,8,3,7,6]
[6,4,7,8,5,3,1,2]=>[2,1,3,5,8,7,4,6]
[4,5,2,3,7,6,1,8]=>[8,1,6,7,3,2,5,4]
[6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]
[8,4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4,8]
[1,5,6,3,4,8,7,2]=>[2,7,8,4,3,6,5,1]
[4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]
[3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]
[4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]
[5,7,6,2,4,3,1,8]=>[8,1,3,4,2,6,7,5]
[1,7,5,4,8,3,6,2]=>[2,6,3,8,4,5,7,1]
[8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]
[6,8,5,4,2,1,3,7]=>[7,3,1,2,4,5,8,6]
[5,8,6,2,4,1,3,7]=>[7,3,1,4,2,6,8,5]
[4,8,2,6,5,1,3,7]=>[7,3,1,5,6,2,8,4]
[3,2,8,6,5,1,4,7]=>[7,4,1,5,6,8,2,3]
[4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]
[5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]
[6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]
[7,1,5,4,8,2,6,3]=>[3,6,2,8,4,5,1,7]
[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]
[1,8,6,7,4,5,3,2]=>[2,3,5,4,7,6,8,1]
[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]
[7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]
[6,1,7,8,2,4,5,3]=>[3,5,4,2,8,7,1,6]
[5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]
[4,1,2,7,8,5,6,3]=>[3,6,5,8,7,2,1,4]
[3,2,1,7,8,5,6,4]=>[4,6,5,8,7,1,2,3]
[3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]
[4,8,2,7,1,5,3,6]=>[6,3,5,1,7,2,8,4]
[5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]
[6,8,7,1,2,4,3,5]=>[5,3,4,2,1,7,8,6]
[7,8,6,1,4,2,3,5]=>[5,3,2,4,1,6,8,7]
[8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]
[1,7,6,8,4,3,5,2]=>[2,5,3,4,8,6,7,1]
[1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]
[8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]
[7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]
[5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]
[4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]
[3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]
[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]
[5,6,8,2,3,1,4,7]=>[7,4,1,3,2,8,6,5]
[6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]
[7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]
[8,5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5,8]
[1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]
[1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]
[8,4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4,8]
[6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]
[4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]
[3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]
[4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]
[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]
[7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]
[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]
[1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]
[8,5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5,8]
[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]
[6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]
[5,6,1,2,3,8,7,4]=>[4,7,8,3,2,1,6,5]
[4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]
[3,2,6,1,4,8,7,5]=>[5,7,8,4,1,6,2,3]
[3,2,7,1,8,4,6,5]=>[5,6,4,8,1,7,2,3]
[4,7,2,1,8,3,6,5]=>[5,6,3,8,1,2,7,4]
[5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]
[6,7,1,8,2,3,5,4]=>[4,5,3,2,8,1,7,6]
[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]
[8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]
[1,6,8,7,3,5,4,2]=>[2,4,5,3,7,8,6,1]
[1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]
[8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]
[7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]
[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]
[5,8,1,2,7,6,3,4]=>[4,3,6,7,2,1,8,5]
[4,8,2,1,7,6,3,5]=>[5,3,6,7,1,2,8,4]
[3,2,8,1,7,6,4,5]=>[5,4,6,7,1,8,2,3]
[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]
[5,1,8,2,7,6,4,3]=>[3,4,6,7,2,8,1,5]
[6,1,8,7,2,5,4,3]=>[3,4,5,2,7,8,1,6]
[7,1,8,6,5,2,4,3]=>[3,4,2,5,6,8,1,7]
[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]
[3,1,2,6,5,8,7,4]=>[4,7,8,5,6,2,1,3]
[3,1,6,2,4,8,7,5]=>[5,7,8,4,2,6,1,3]
[3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]
[4,5,1,2,3,8,7,6]=>[6,7,8,3,2,1,5,4]
[4,6,1,2,3,8,7,5]=>[5,7,8,3,2,1,6,4]
[1,6,5,3,4,8,7,2]=>[2,7,8,4,3,5,6,1]
[6,1,5,2,4,8,7,3]=>[3,7,8,4,2,5,1,6]
[6,5,1,2,3,8,7,4]=>[4,7,8,3,2,1,5,6]
[6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]
[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]
[5,4,1,2,7,3,6,8]=>[8,6,3,7,2,1,4,5]
[6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]
[6,4,1,8,2,3,5,7]=>[7,5,3,2,8,1,4,6]
[7,4,1,2,8,3,6,5]=>[5,6,3,8,2,1,4,7]
[7,5,1,2,8,3,6,4]=>[4,6,3,8,2,1,5,7]
[7,1,5,2,8,4,6,3]=>[3,6,4,8,2,5,1,7]
[1,7,5,3,8,4,6,2]=>[2,6,4,8,3,5,7,1]
[1,8,5,3,7,4,6,2]=>[2,6,4,7,3,5,8,1]
[8,1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1,8]
[8,5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5,8]
[8,4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4,8]
[8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8]
[7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]
[8,6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6,8]
[8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]
[1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]
[1,7,6,8,3,4,5,2]=>[2,5,4,3,8,6,7,1]
[7,1,6,8,2,4,5,3]=>[3,5,4,2,8,6,1,7]
[7,6,1,8,2,3,5,4]=>[4,5,3,2,8,1,6,7]
[4,7,1,2,8,3,6,5]=>[5,6,3,8,2,1,7,4]
[3,1,7,2,8,4,6,5]=>[5,6,4,8,2,7,1,3]
[3,1,2,7,8,5,6,4]=>[4,6,5,8,7,2,1,3]
[1,4,3,8,7,5,6,2]=>[2,6,5,7,8,3,4,1]
[4,1,2,8,7,5,6,3]=>[3,6,5,7,8,2,1,4]
[3,1,2,8,7,5,6,4]=>[4,6,5,7,8,2,1,3]
[3,1,8,2,7,4,6,5]=>[5,6,4,7,2,8,1,3]
[3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]
[3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]
[4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]
[4,8,1,6,2,3,5,7]=>[7,5,3,2,6,1,8,4]
[4,8,1,7,2,3,5,6]=>[6,5,3,2,7,1,8,4]
[4,8,1,2,7,3,6,5]=>[5,6,3,7,2,1,8,4]
[5,8,1,2,7,3,6,4]=>[4,6,3,7,2,1,8,5]
[5,1,8,2,7,4,6,3]=>[3,6,4,7,2,8,1,5]
[1,5,8,3,7,4,6,2]=>[2,6,4,7,3,8,5,1]
[1,6,8,7,3,4,5,2]=>[2,5,4,3,7,8,6,1]
[6,1,8,7,2,4,5,3]=>[3,5,4,2,7,8,1,6]
[6,8,1,7,2,3,5,4]=>[4,5,3,2,7,1,8,6]
[6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]
[5,8,7,1,2,3,4,6]=>[6,4,3,2,1,7,8,5]
[5,8,6,1,2,3,4,7]=>[7,4,3,2,1,6,8,5]
[5,7,6,1,2,3,4,8]=>[8,4,3,2,1,6,7,5]
[7,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,7]
[7,1,8,6,2,4,5,3]=>[3,5,4,2,6,8,1,7]
[1,7,8,6,3,4,5,2]=>[2,5,4,3,6,8,7,1]
[1,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,1]
[8,1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1,8]
[8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]
[3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]
[3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]
[4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]
[4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]
[4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]
[4,2,5,1,6,3,8,7]=>[7,8,3,6,1,5,2,4]
[3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]
[4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]
[4,3,5,1,6,2,8,7]=>[7,8,2,6,1,5,3,4]
[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]
[4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]
[4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]
[4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]
[4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]
[3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]
[2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]
[3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]
[4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]
[4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]
[4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]
[4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]
[5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]
[5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]
[5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]
[5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]
[4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]
[3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]
[2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]
[2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]
[3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]
[4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]
[5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]
[5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]
[5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]
[5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]
[5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]
[5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]
[5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]
[4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]
[4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]
[4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]
[4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]
[3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]
[3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]
[3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]
[3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]
[3,2,4,1,7,5,8,6]=>[6,8,5,7,1,4,2,3]
[3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]
[3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]
[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]
[3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]
[4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]
[4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]
[4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]
[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]
[4,1,5,2,7,6,8,3]=>[3,8,6,7,2,5,1,4]
[3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]
[2,1,5,3,7,6,8,4]=>[4,8,6,7,3,5,1,2]
[2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]
[3,1,6,2,7,5,8,4]=>[4,8,5,7,2,6,1,3]
[4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]
[5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]
[5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5]
[5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]
[5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]
[5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]
[5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]
[5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]
[5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]
[4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]
[3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]
[2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]
[3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]
[4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]
[5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]
[5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]
[5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]
[8,3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3,8]
[8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8]
[3,7,5,2,4,1,8,6]=>[6,8,1,4,2,5,7,3]
[8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8]
[8,2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2,8]
[2,4,5,7,3,1,8,6]=>[6,8,1,3,7,5,4,2]
[8,2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2,8]
[8,2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2,8]
[8,6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6,8]
[8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]
[8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]
[5,7,4,3,2,1,8,6]=>[6,8,1,2,3,4,7,5]
[8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]
[4,6,8,3,2,7,5,1]=>[1,5,7,2,3,8,6,4]
[4,7,6,3,2,8,1,5]=>[5,1,8,2,3,6,7,4]
[1,4,6,7,3,2,8,5]=>[5,8,2,3,7,6,4,1]
[5,4,7,3,1,8,2,6]=>[6,2,8,1,3,7,4,5]
[1,7,4,5,3,2,8,6]=>[6,8,2,3,5,4,7,1]
[3,7,5,1,4,2,8,6]=>[6,8,2,4,1,5,7,3]
[5,7,4,2,1,3,8,6]=>[6,8,3,1,2,4,7,5]
[8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]
[8,3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3,8]
[8,4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4,8]
[4,6,3,8,7,1,5,2]=>[2,5,1,7,8,3,6,4]
[1,7,4,8,6,3,5,2]=>[2,5,3,6,8,4,7,1]
[8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8]
[3,6,5,8,7,4,1,2]=>[2,1,4,7,8,5,6,3]
[3,1,5,8,6,7,4,2]=>[2,4,7,6,8,5,1,3]
[4,8,1,6,7,3,5,2]=>[2,5,3,7,6,1,8,4]
[3,6,4,1,8,7,5,2]=>[2,5,7,8,1,4,6,3]
[8,2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2,8]
[2,7,6,8,1,4,3,5]=>[5,3,4,1,8,6,7,2]
[3,7,1,6,4,8,2,5]=>[5,2,8,4,6,1,7,3]
[1,7,3,5,6,8,2,4]=>[4,2,8,6,5,3,7,1]
[1,3,6,7,5,8,2,4]=>[4,2,8,5,7,6,3,1]
[3,7,6,5,8,2,1,4]=>[4,1,2,8,5,6,7,3]
[3,6,8,5,7,2,4,1]=>[1,4,2,7,5,8,6,3]
[2,3,5,7,6,8,1,4]=>[4,1,8,6,7,5,3,2]
[2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]
[4,2,7,6,8,3,1,5]=>[5,1,3,8,6,7,2,4]
[4,2,6,8,7,3,5,1]=>[1,5,3,7,8,6,2,4]
[3,8,2,4,6,7,5,1]=>[1,5,7,6,4,2,8,3]
[3,7,2,6,4,8,1,5]=>[5,1,8,4,6,2,7,3]
[3,2,6,1,4,7,8,5]=>[5,8,7,4,1,6,2,3]
[5,3,7,2,1,8,4,6]=>[6,4,8,1,2,7,3,5]
[4,7,3,2,1,5,8,6]=>[6,8,5,1,2,3,7,4]
[8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]
[8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]
[8,3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3,8]
[3,7,8,6,2,1,5,4]=>[4,5,1,2,6,8,7,3]
[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]
[2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]
[4,6,8,2,1,7,5,3]=>[3,5,7,1,2,8,6,4]
[8,4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4,8]
[8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]
[8,5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5,8]
[8,2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2,8]
[8,3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3,8]
[4,6,1,8,7,2,5,3]=>[3,5,2,7,8,1,6,4]
[8,1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1,8]
[8,2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2,8]
[2,1,7,8,5,6,4,3]=>[3,4,6,5,8,7,1,2]
[8,2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2,8]
[2,7,6,8,5,4,1,3]=>[3,1,4,5,8,6,7,2]
[1,7,2,5,8,6,4,3]=>[3,4,6,8,5,2,7,1]
[1,7,4,8,2,6,5,3]=>[3,5,6,2,8,4,7,1]
[3,7,8,1,6,5,2,4]=>[4,2,5,6,1,8,7,3]
[2,7,8,6,1,3,5,4]=>[4,5,3,1,6,8,7,2]
[8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8]
[8,4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4,8]
[8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8]
[8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8]
[6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]
[4,6,3,5,1,2,8,7]=>[7,8,2,1,5,3,6,4]
[8,5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5,8]
[6,8,1,4,5,7,3,2]=>[2,3,7,5,4,1,8,6]
[8,7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7,8]
[3,6,2,4,5,1,8,7]=>[7,8,1,5,4,2,6,3]
[2,6,1,4,5,3,8,7]=>[7,8,3,5,4,1,6,2]
[6,1,2,4,5,3,8,7]=>[7,8,3,5,4,2,1,6]
[5,6,3,2,1,4,8,7]=>[7,8,4,1,2,3,6,5]
[5,4,3,6,1,2,8,7]=>[7,8,2,1,6,3,4,5]
[6,3,1,4,5,2,8,7]=>[7,8,2,5,4,1,3,6]
[3,1,6,4,5,2,8,7]=>[7,8,2,5,4,6,1,3]
[8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]
[5,8,7,4,2,6,3,1]=>[1,3,6,2,4,7,8,5]
[2,8,7,4,1,6,3,5]=>[5,3,6,1,4,7,8,2]
[8,1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1,8]
[3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]
[2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]
[2,1,6,8,5,7,3,4]=>[4,3,7,5,8,6,1,2]
[5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]
[7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]
[3,7,6,4,5,8,2,1]=>[1,2,8,5,4,6,7,3]
[8,5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5,8]
[5,1,8,4,7,6,2,3]=>[3,2,6,7,4,8,1,5]
[2,5,8,4,7,6,1,3]=>[3,1,6,7,4,8,5,2]
[2,4,8,3,5,6,7,1]=>[1,7,6,5,3,8,4,2]
[4,1,8,3,5,6,7,2]=>[2,7,6,5,3,8,1,4]
[3,8,4,2,5,6,7,1]=>[1,7,6,5,2,4,8,3]
[8,4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4,8]
[7,5,8,4,3,6,1,2]=>[2,1,6,3,4,8,5,7]
[6,5,3,8,4,1,7,2]=>[2,7,1,4,8,3,5,6]
[2,1,5,8,4,6,7,3]=>[3,7,6,4,8,5,1,2]
[2,1,4,8,3,6,7,5]=>[5,7,6,3,8,4,1,2]
[6,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,6]
[7,3,8,4,2,6,1,5]=>[5,1,6,2,4,8,3,7]
[8,3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3,8]
[3,1,8,2,5,6,7,4]=>[4,7,6,5,2,8,1,3]
[2,3,8,1,5,6,7,4]=>[4,7,6,5,1,8,3,2]
[4,3,8,2,5,6,7,1]=>[1,7,6,5,2,8,3,4]
[4,8,2,3,5,6,7,1]=>[1,7,6,5,3,2,8,4]
[3,8,2,1,5,6,7,4]=>[4,7,6,5,1,2,8,3]
[2,8,1,3,5,6,7,4]=>[4,7,6,5,3,1,8,2]
[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]
[7,8,2,4,3,6,1,5]=>[5,1,6,3,4,2,8,7]
[6,8,3,2,4,1,7,5]=>[5,7,1,4,2,3,8,6]
[2,1,8,3,4,6,7,5]=>[5,7,6,4,3,8,1,2]
[2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]
[5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]
[7,1,8,4,5,3,2,6]=>[6,2,3,5,4,8,1,7]
[2,7,8,4,5,3,1,6]=>[6,1,3,5,4,8,7,2]
[8,7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7,8]
[3,8,7,4,2,6,1,5]=>[5,1,6,2,4,7,8,3]
[5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]
[5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]
[4,8,3,6,2,1,7,5]=>[5,7,1,2,6,3,8,4]
[8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]
[7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]
[2,4,3,1,8,5,7,6]=>[6,7,5,8,1,3,4,2]
[4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]
[7,5,3,6,2,8,1,4]=>[4,1,8,2,6,3,5,7]
[8,6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6,8]
[5,8,3,2,6,1,7,4]=>[4,7,1,6,2,3,8,5]
[4,5,3,8,6,2,7,1]=>[1,7,2,6,8,3,5,4]
[3,5,8,4,7,6,2,1]=>[1,2,6,7,4,8,5,3]
[5,8,2,4,7,6,1,3]=>[3,1,6,7,4,2,8,5]
[8,7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7,8]
[2,7,6,4,5,8,1,3]=>[3,1,8,5,4,6,7,2]
[7,1,6,4,5,8,2,3]=>[3,2,8,5,4,6,1,7]
[5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]
[2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]
[2,1,8,5,3,6,7,4]=>[4,7,6,3,5,8,1,2]
[6,8,3,5,2,1,7,4]=>[4,7,1,2,5,3,8,6]
[7,8,5,4,2,6,1,3]=>[3,1,6,2,4,5,8,7]
[8,1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1,8]
[2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]
[4,8,1,2,5,6,7,3]=>[3,7,6,5,2,1,8,4]
[3,4,8,1,5,6,7,2]=>[2,7,6,5,1,8,4,3]
[3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]
[2,4,1,8,5,6,7,3]=>[3,7,6,5,8,1,4,2]
[4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]
[8,4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4,8]
[7,5,2,4,8,6,1,3]=>[3,1,6,8,4,2,5,7]
[6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]
[2,1,5,3,8,6,7,4]=>[4,7,6,8,3,5,1,2]
[6,4,3,5,8,1,7,2]=>[2,7,1,8,5,3,4,6]
[7,3,5,4,8,6,1,2]=>[2,1,6,8,4,5,3,7]
[8,3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3,8]
[4,3,1,8,5,6,7,2]=>[2,7,6,5,8,1,3,4]
[3,1,4,8,5,6,7,2]=>[2,7,6,5,8,4,1,3]
[6,5,3,7,2,8,4,1]=>[1,4,8,2,7,3,5,6]
[6,3,7,4,5,8,2,1]=>[1,2,8,5,4,7,3,6]
[6,7,2,4,5,8,3,1]=>[1,3,8,5,4,2,7,6]
[5,1,7,4,8,6,3,2]=>[2,3,6,8,4,7,1,5]
[2,5,7,4,8,6,3,1]=>[1,3,6,8,4,7,5,2]
[5,6,3,7,1,8,4,2]=>[2,4,8,1,7,3,6,5]
[3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]
[3,7,5,4,8,6,2,1]=>[1,2,6,8,4,5,7,3]
[5,7,1,4,8,6,2,3]=>[3,2,6,8,4,1,7,5]
[5,6,3,1,8,2,7,4]=>[4,7,2,8,1,3,6,5]
[4,6,3,5,8,2,7,1]=>[1,7,2,8,5,3,6,4]
[4,6,3,8,1,2,7,5]=>[5,7,2,1,8,3,6,4]
[3,7,8,4,1,6,2,5]=>[5,2,6,1,4,8,7,3]
[3,2,5,1,6,8,4,7]=>[7,4,8,6,1,5,2,3]
[3,6,2,5,4,8,1,7]=>[7,1,8,4,5,2,6,3]
[3,5,2,4,7,1,8,6]=>[6,8,1,7,4,2,5,3]
[3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3]
[4,2,5,8,3,7,6,1]=>[1,6,7,3,8,5,2,4]
[4,2,6,5,3,8,1,7]=>[7,1,8,3,5,6,2,4]
[5,4,2,1,6,8,3,7]=>[7,3,8,6,1,2,4,5]
[6,3,5,1,4,8,2,7]=>[7,2,8,4,1,5,3,6]
[4,6,1,5,3,8,2,7]=>[7,2,8,3,5,1,6,4]
[5,1,6,4,3,8,2,7]=>[7,2,8,3,4,6,1,5]
[5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]
[5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]
[4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]
[4,3,7,6,2,1,8,5]=>[5,8,1,2,6,7,3,4]
[6,4,3,1,7,2,8,5]=>[5,8,2,7,1,3,4,6]
[7,5,4,3,1,8,2,6]=>[6,2,8,1,3,4,5,7]
[1,4,7,5,8,3,2,6]=>[6,2,3,8,5,7,4,1]
[7,1,3,5,8,4,2,6]=>[6,2,4,8,5,3,1,7]
[7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]
[2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]
[3,5,8,7,1,4,6,2]=>[2,6,4,1,7,8,5,3]
[1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]
[1,5,4,8,7,3,6,2]=>[2,6,3,7,8,4,5,1]
[6,4,3,8,1,7,5,2]=>[2,5,7,1,8,3,4,6]
[4,3,7,1,8,6,5,2]=>[2,5,6,8,1,7,3,4]
[4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4]
[5,3,8,7,6,4,2,1]=>[1,2,4,6,7,8,3,5]
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]
[1,8,6,5,3,7,4,2]=>[2,4,7,3,5,6,8,1]
[1,5,8,6,3,7,4,2]=>[2,4,7,3,6,8,5,1]
[4,6,1,8,7,3,5,2]=>[2,5,3,7,8,1,6,4]
[6,8,7,3,1,4,5,2]=>[2,5,4,1,3,7,8,6]
[6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]
[7,6,2,8,4,1,3,5]=>[5,3,1,4,8,2,6,7]
[7,3,1,6,8,4,2,5]=>[5,2,4,8,6,1,3,7]
[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]
[5,7,1,6,3,2,8,4]=>[4,8,2,3,6,1,7,5]
[6,1,7,5,3,2,8,4]=>[4,8,2,3,5,7,1,6]
[7,6,5,3,2,1,8,4]=>[4,8,1,2,3,5,6,7]
[6,5,3,2,8,7,4,1]=>[1,4,7,8,2,3,5,6]
[5,2,6,3,8,7,4,1]=>[1,4,7,8,3,6,2,5]
[5,2,7,6,3,1,8,4]=>[4,8,1,3,6,7,2,5]
[6,5,2,1,7,3,8,4]=>[4,8,3,7,1,2,5,6]
[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]
[4,7,2,6,3,1,8,5]=>[5,8,1,3,6,2,7,4]
[2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]
[3,8,6,2,4,7,5,1]=>[1,5,7,4,2,6,8,3]
[7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]
[3,6,7,2,1,4,8,5]=>[5,8,4,1,2,7,6,3]
[4,3,7,8,2,1,5,6]=>[6,5,1,2,8,7,3,4]
[8,3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3,8]
[3,8,2,5,7,1,6,4]=>[4,6,1,7,5,2,8,3]
[8,3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3,8]
[7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]
[8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8]
[4,7,8,2,1,6,5,3]=>[3,5,6,1,2,8,7,4]
[4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]
[5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]
[4,8,1,5,7,2,6,3]=>[3,6,2,7,5,1,8,4]
[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]
[5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]
[8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]
[3,6,8,1,7,5,2,4]=>[4,2,5,7,1,8,6,3]
[5,1,6,8,2,7,4,3]=>[3,4,7,2,8,6,1,5]
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]
[5,2,7,1,8,6,4,3]=>[3,4,6,8,1,7,2,5]
[5,8,2,7,6,4,3,1]=>[1,3,4,6,7,2,8,5]
[6,2,8,7,5,4,3,1]=>[1,3,4,5,7,8,2,6]
[7,6,2,1,8,5,4,3]=>[3,4,5,8,1,2,6,7]
[6,1,7,2,8,5,4,3]=>[3,4,5,8,2,7,1,6]
[7,5,1,8,2,6,4,3]=>[3,4,6,2,8,1,5,7]
[4,7,1,8,6,2,5,3]=>[3,5,2,6,8,1,7,4]
[7,8,3,1,6,5,2,4]=>[4,2,5,6,1,3,8,7]
[8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8]
[8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8]
[6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]
[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]
[5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]
[6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]
[7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]
[8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]
[3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]
[4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]
[5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]
[1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]
[1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]
[6,8,5,2,3,1,4,7]=>[7,4,1,3,2,5,8,6]
[5,8,6,2,3,1,4,7]=>[7,4,1,3,2,6,8,5]
[4,8,2,6,3,1,5,7]=>[7,5,1,3,6,2,8,4]
[3,2,8,6,4,1,5,7]=>[7,5,1,4,6,8,2,3]
[3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]
[7,1,5,2,8,3,4,6]=>[6,4,3,8,2,5,1,7]
[1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]
[1,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,1]
[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]
[7,1,6,8,2,3,4,5]=>[5,4,3,2,8,6,1,7]
[3,2,1,7,8,4,5,6]=>[6,5,4,8,7,1,2,3]
[3,2,8,7,1,4,5,6]=>[6,5,4,1,7,8,2,3]
[5,8,7,2,1,3,4,6]=>[6,4,3,1,2,7,8,5]
[1,7,6,8,2,3,4,5]=>[5,4,3,2,8,6,7,1]
[6,5,8,2,3,1,4,7]=>[7,4,1,3,2,8,5,6]
[8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]
[6,4,2,8,3,1,5,7]=>[7,5,1,3,8,2,4,6]
[5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]
[3,2,5,4,1,8,6,7]=>[7,6,8,1,4,5,2,3]
[4,5,2,3,1,8,6,7]=>[7,6,8,1,3,2,5,4]
[5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]
[6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]
[7,4,2,1,8,3,5,6]=>[6,5,3,8,1,2,4,7]
[8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]
[1,4,2,8,7,3,5,6]=>[6,5,3,7,8,2,4,1]
[1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]
[8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]
[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]
[6,5,1,2,3,8,4,7]=>[7,4,8,3,2,1,5,6]
[4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]
[3,2,6,1,4,8,5,7]=>[7,5,8,4,1,6,2,3]
[3,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,3]
[4,7,2,1,8,3,5,6]=>[6,5,3,8,1,2,7,4]
[7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]
[8,6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6,8]
[1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]
[1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]
[7,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,7]
[6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]
[4,8,2,1,7,3,5,6]=>[6,5,3,7,1,2,8,4]
[3,2,8,1,7,4,5,6]=>[6,5,4,7,1,8,2,3]
[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]
[5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]
[6,1,8,7,2,3,4,5]=>[5,4,3,2,7,8,1,6]
[8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]
[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]
[6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]
[4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]
[8,3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3,8]
[6,3,7,5,1,8,4,2]=>[2,4,8,1,5,7,3,6]
[6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]
[8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]
[2,6,1,5,4,3,8,7]=>[7,8,3,4,5,1,6,2]
[6,4,3,5,1,2,8,7]=>[7,8,2,1,5,3,4,6]
[5,3,1,4,6,2,8,7]=>[7,8,2,6,4,1,3,5]
[3,1,4,6,5,2,8,7]=>[7,8,2,5,6,4,1,3]
[5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]
[8,1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1,8]
[3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]
[2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]
[8,6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6,8]
[5,8,2,4,6,7,3,1]=>[1,3,7,6,4,2,8,5]
[3,4,8,6,5,7,1,2]=>[2,1,7,5,6,8,4,3]
[7,5,4,8,1,6,3,2]=>[2,3,6,1,8,4,5,7]
[5,1,4,6,8,2,7,3]=>[3,7,2,8,6,4,1,5]
[2,5,4,6,7,1,8,3]=>[3,8,1,7,6,4,5,2]
[2,4,6,3,7,5,8,1]=>[1,8,5,7,3,6,4,2]
[4,1,6,3,8,5,7,2]=>[2,7,5,8,3,6,1,4]
[3,7,4,2,8,6,5,1]=>[1,5,6,8,2,4,7,3]
[7,4,1,3,5,8,6,2]=>[2,6,8,5,3,1,4,7]
[6,5,8,4,1,7,3,2]=>[2,3,7,1,4,8,5,6]
[8,5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5,8]
[2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]
[7,4,3,8,2,1,6,5]=>[5,6,1,2,8,3,4,7]
[6,3,7,4,1,8,2,5]=>[5,2,8,1,4,7,3,6]
[8,3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3,8]
[3,1,8,2,7,6,5,4]=>[4,5,6,7,2,8,1,3]
[2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2]
[4,3,7,2,6,8,5,1]=>[1,5,8,6,2,7,3,4]
[4,7,2,3,8,5,6,1]=>[1,6,5,8,3,2,7,4]
[3,8,2,1,7,5,6,4]=>[4,6,5,7,1,2,8,3]
[2,8,1,3,6,5,7,4]=>[4,7,5,6,3,1,8,2]
[2,7,8,5,4,3,1,6]=>[6,1,3,4,5,8,7,2]
[8,7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7,8]
[3,8,6,7,2,4,1,5]=>[5,1,4,2,7,6,8,3]
[5,3,8,7,4,2,6,1]=>[1,6,2,4,7,8,3,5]
[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]
[8,3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3,8]
[7,3,5,8,2,4,1,6]=>[6,1,4,2,8,5,3,7]
[2,3,4,1,8,5,7,6]=>[6,7,5,8,1,4,3,2]
[4,1,3,2,6,7,8,5]=>[5,8,7,6,2,3,1,4]
[8,3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3,8]
[5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]
[5,6,2,8,7,4,1,3]=>[3,1,4,7,8,2,6,5]
[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]
[2,8,6,5,4,7,1,3]=>[3,1,7,4,5,6,8,2]
[8,1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1,8]
[5,8,3,6,1,7,2,4]=>[4,2,7,1,6,3,8,5]
[2,1,8,6,5,7,3,4]=>[4,3,7,5,6,8,1,2]
[2,1,7,5,3,6,8,4]=>[4,8,6,3,5,7,1,2]
[6,7,3,5,2,1,8,4]=>[4,8,1,2,5,3,7,6]
[7,1,4,2,5,6,8,3]=>[3,8,6,5,2,4,1,7]
[2,7,4,1,6,5,8,3]=>[3,8,5,6,1,4,7,2]
[4,6,1,2,8,7,3,5]=>[5,3,7,8,2,1,6,4]
[2,4,1,5,8,7,6,3]=>[3,6,7,8,5,1,4,2]
[4,1,2,5,8,6,7,3]=>[3,7,6,8,5,2,1,4]
[6,4,2,1,5,8,7,3]=>[3,7,8,5,1,2,4,6]
[8,5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5,8]
[7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]
[2,1,5,3,6,8,7,4]=>[4,7,8,6,3,5,1,2]
[7,3,5,4,6,1,8,2]=>[2,8,1,6,4,5,3,7]
[6,3,4,1,5,7,8,2]=>[2,8,7,5,1,4,3,6]
[4,3,1,5,7,6,8,2]=>[2,8,6,7,5,1,3,4]
[3,1,4,5,6,8,7,2]=>[2,7,8,6,5,4,1,3]
[4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]
[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]
[6,5,2,7,4,8,3,1]=>[1,3,8,4,7,2,5,6]
[8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]
[8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]
[6,3,7,5,2,8,4,1]=>[1,4,8,2,5,7,3,6]
[3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]
[5,6,3,2,4,1,8,7]=>[7,8,1,4,2,3,6,5]
[3,6,2,4,1,5,8,7]=>[7,8,5,1,4,2,6,3]
[2,6,1,3,5,4,8,7]=>[7,8,4,5,3,1,6,2]
[6,7,2,3,4,8,5,1]=>[1,5,8,4,3,2,7,6]
[8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8]
[5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]
[2,5,7,3,8,6,4,1]=>[1,4,6,8,3,7,5,2]
[7,6,1,3,5,8,4,2]=>[2,4,8,5,3,1,6,7]
[3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]
[5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]
[2,1,6,7,4,8,5,3]=>[3,5,8,4,7,6,1,2]
[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]
[5,8,3,7,4,2,6,1]=>[1,6,2,4,7,3,8,5]
[3,8,7,4,1,2,6,5]=>[5,6,2,1,4,7,8,3]
[7,8,1,3,5,2,6,4]=>[4,6,2,5,3,1,8,7]
[5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]
[2,8,6,3,1,5,7,4]=>[4,7,5,1,3,6,8,2]
[8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]
[2,8,4,1,6,3,7,5]=>[5,7,3,6,1,4,8,2]
[4,8,1,2,7,6,3,5]=>[5,3,6,7,2,1,8,4]
[3,8,4,2,5,7,1,6]=>[6,1,7,5,2,4,8,3]
[6,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,6]
[2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]
[6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]
[7,5,2,4,8,1,6,3]=>[3,6,1,8,4,2,5,7]
[3,4,2,8,5,7,6,1]=>[1,6,7,5,8,2,4,3]
[2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]
[8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]
[4,3,1,8,6,7,5,2]=>[2,5,7,6,8,1,3,4]
[3,1,4,8,6,5,7,2]=>[2,7,5,6,8,4,1,3]
[7,1,6,5,4,8,2,3]=>[3,2,8,4,5,6,1,7]
[3,7,5,6,8,4,2,1]=>[1,2,4,8,6,5,7,3]
[5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]
[8,6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6,8]
[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]
[4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]
[7,5,2,6,3,8,1,4]=>[4,1,8,3,6,2,5,7]
[4,1,2,3,6,8,7,5]=>[5,7,8,6,3,2,1,4]
[2,4,3,1,8,5,6,7]=>[7,6,5,8,1,3,4,2]
[7,5,2,8,3,4,6,1]=>[1,6,4,3,8,2,5,7]
[5,6,2,8,4,3,1,7]=>[7,1,3,4,8,2,6,5]
[4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]
[8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]
[3,6,8,7,1,5,4,2]=>[2,4,5,1,7,8,6,3]
[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]
[7,1,8,5,4,3,6,2]=>[2,6,3,4,5,8,1,7]
[2,7,8,4,5,3,6,1]=>[1,6,3,5,4,8,7,2]
[5,7,3,8,1,4,6,2]=>[2,6,4,1,8,3,7,5]
[2,1,7,8,5,4,6,3]=>[3,6,4,5,8,7,1,2]
[2,1,5,8,4,6,3,7]=>[7,3,6,4,8,5,1,2]
[6,5,3,8,4,1,2,7]=>[7,2,1,4,8,3,5,6]
[7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]
[2,4,8,3,5,6,1,7]=>[7,1,6,5,3,8,4,2]
[4,1,8,3,6,5,2,7]=>[7,2,5,6,3,8,1,4]
[3,4,8,1,7,2,5,6]=>[6,5,2,7,1,8,4,3]
[8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]
[3,1,8,2,4,7,6,5]=>[5,6,7,4,2,8,1,3]
[2,3,8,1,4,6,7,5]=>[5,7,6,4,1,8,3,2]
[4,3,8,2,5,1,7,6]=>[6,7,1,5,2,8,3,4]
[6,3,8,4,2,5,7,1]=>[1,7,5,2,4,8,3,6]
[7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]
[2,1,4,8,3,5,7,6]=>[6,7,5,3,8,4,1,2]
[6,8,2,4,3,5,1,7]=>[7,1,5,3,4,2,8,6]
[4,8,2,3,5,1,6,7]=>[7,6,1,5,3,2,8,4]
[3,8,2,1,4,6,5,7]=>[7,5,6,4,1,2,8,3]
[2,8,1,3,4,5,7,6]=>[6,7,5,4,3,1,8,2]
[2,8,4,1,6,5,3,7]=>[7,3,5,6,1,4,8,2]
[2,8,4,1,6,5,7,3]=>[3,7,5,6,1,4,8,2]
[2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]
[2,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,2]
[7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]
[3,5,7,6,1,4,2,8]=>[8,2,4,1,6,7,5,3]
[3,5,7,2,4,1,6,8]=>[8,6,1,4,2,7,5,3]
[7,5,8,2,4,1,6,3]=>[3,6,1,4,2,8,5,7]
[2,8,5,3,4,7,6,1]=>[1,6,7,4,3,5,8,2]
[2,8,5,3,4,1,7,6]=>[6,7,1,4,3,5,8,2]
[2,8,5,3,4,1,6,7]=>[7,6,1,4,3,5,8,2]
[2,8,7,6,1,4,5,3]=>[3,5,4,1,6,7,8,2]
[2,8,5,3,6,1,7,4]=>[4,7,1,6,3,5,8,2]
[2,8,5,6,7,4,1,3]=>[3,1,4,7,6,5,8,2]
[2,8,5,3,4,7,1,6]=>[6,1,7,4,3,5,8,2]
[2,8,5,3,4,6,1,7]=>[7,1,6,4,3,5,8,2]
[2,8,5,3,4,6,7,1]=>[1,7,6,4,3,5,8,2]
[3,5,7,2,4,6,1,8]=>[8,1,6,4,2,7,5,3]
[6,5,2,7,3,1,4,8]=>[8,4,1,3,7,2,5,6]
[6,5,2,8,3,1,7,4]=>[4,7,1,3,8,2,5,6]
[6,5,2,8,3,1,4,7]=>[7,4,1,3,8,2,5,6]
[7,5,8,2,4,6,3,1]=>[1,3,6,4,2,8,5,7]
[7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]
[6,5,8,2,1,3,7,4]=>[4,7,3,1,2,8,5,6]
[3,5,6,2,1,8,7,4]=>[4,7,8,1,2,6,5,3]
[3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]
[3,5,7,2,4,1,8,6]=>[6,8,1,4,2,7,5,3]
[3,5,7,2,4,6,8,1]=>[1,8,6,4,2,7,5,3]
[6,5,2,7,3,1,8,4]=>[4,8,1,3,7,2,5,6]
[4,5,2,6,3,1,7,8]=>[8,7,1,3,6,2,5,4]
[4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]
[6,5,2,7,3,4,8,1]=>[1,8,4,3,7,2,5,6]
[5,1,6,7,4,3,8,2]=>[2,8,3,4,7,6,1,5]
[5,1,2,6,4,8,7,3]=>[3,7,8,4,6,2,1,5]
[5,1,2,8,6,4,7,3]=>[3,7,4,6,8,2,1,5]
[5,1,6,8,7,3,4,2]=>[2,4,3,7,8,6,1,5]
[6,5,2,8,3,7,4,1]=>[1,4,7,3,8,2,5,6]
[4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]
[4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]
[4,1,2,3,8,6,7,5]=>[5,7,6,8,3,2,1,4]
[4,1,2,3,7,6,5,8]=>[8,5,6,7,3,2,1,4]
[4,1,2,3,8,5,7,6]=>[6,7,5,8,3,2,1,4]
[7,1,6,8,4,3,5,2]=>[2,5,3,4,8,6,1,7]
[6,1,2,8,4,5,7,3]=>[3,7,5,4,8,2,1,6]
[5,6,8,2,3,1,7,4]=>[4,7,1,3,2,8,6,5]
[6,5,8,2,4,3,1,7]=>[7,1,3,4,2,8,5,6]
[6,5,8,2,4,3,7,1]=>[1,7,3,4,2,8,5,6]
[7,5,2,8,3,4,1,6]=>[6,1,4,3,8,2,5,7]
[6,5,2,8,3,7,1,4]=>[4,1,7,3,8,2,5,6]
[6,5,2,7,3,4,1,8]=>[8,1,4,3,7,2,5,6]
[5,1,6,7,4,3,2,8]=>[8,2,3,4,7,6,1,5]
[5,1,6,8,7,3,2,4]=>[4,2,3,7,8,6,1,5]
[7,1,6,8,4,3,2,5]=>[5,2,3,4,8,6,1,7]
[5,7,8,6,3,4,2,1]=>[1,2,4,3,6,8,7,5]
[4,1,8,3,6,5,7,2]=>[2,7,5,6,3,8,1,4]
[4,1,8,3,6,2,7,5]=>[5,7,2,6,3,8,1,4]
[3,1,4,8,6,2,7,5]=>[5,7,2,6,8,4,1,3]
[3,1,4,8,6,5,2,7]=>[7,2,5,6,8,4,1,3]
[7,1,6,5,8,3,2,4]=>[4,2,3,8,5,6,1,7]
[4,1,6,7,8,3,2,5]=>[5,2,3,8,7,6,1,4]
[4,1,6,5,7,3,2,8]=>[8,2,3,7,5,6,1,4]
[4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]
[4,5,2,7,3,8,1,6]=>[6,1,8,3,7,2,5,4]
[3,5,6,2,4,8,7,1]=>[1,7,8,4,2,6,5,3]
[3,5,6,2,4,8,1,7]=>[7,1,8,4,2,6,5,3]
[3,7,5,6,8,4,1,2]=>[2,1,4,8,6,5,7,3]
[3,6,5,2,8,1,7,4]=>[4,7,1,8,2,5,6,3]
[6,1,2,5,8,4,7,3]=>[3,7,4,8,5,2,1,6]
[7,1,6,5,8,3,4,2]=>[2,4,3,8,5,6,1,7]
[7,5,2,6,3,8,4,1]=>[1,4,8,3,6,2,5,7]
[4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]
[4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]
[4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]
[4,1,6,7,8,3,5,2]=>[2,5,3,8,7,6,1,4]
[4,1,2,6,8,5,7,3]=>[3,7,5,8,6,2,1,4]
[4,1,2,5,6,8,7,3]=>[3,7,8,6,5,2,1,4]
[4,5,2,6,3,7,8,1]=>[1,8,7,3,6,2,5,4]
[7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]
[7,8,4,2,1,5,3,6]=>[6,3,5,1,2,4,8,7]
[7,8,2,1,6,5,3,4]=>[4,3,5,6,1,2,8,7]
[6,4,1,2,5,7,3,8]=>[8,3,7,5,2,1,4,6]
[2,4,8,1,5,7,3,6]=>[6,3,7,5,1,8,4,2]
[4,3,8,1,7,2,5,6]=>[6,5,2,7,1,8,3,4]
[6,3,1,4,7,2,5,8]=>[8,5,2,7,4,1,3,6]
[7,8,3,4,5,1,6,2]=>[2,6,1,5,4,3,8,7]
[7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]
[7,8,4,1,2,3,6,5]=>[5,6,3,2,1,4,8,7]
[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]
[7,8,2,1,5,3,4,6]=>[6,4,3,5,1,2,8,7]
[7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]
[7,8,2,5,6,4,1,3]=>[3,1,4,6,5,2,8,7]
[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]
[2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]
[1,3,8,2,6,4,7,5]=>[5,7,4,6,2,8,3,1]
[5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]
[5,3,6,2,7,4,1,8]=>[8,1,4,7,2,6,3,5]
[6,1,2,5,8,7,4,3]=>[3,4,7,8,5,2,1,6]
[6,3,1,8,4,2,7,5]=>[5,7,2,4,8,1,3,6]
[6,4,2,1,5,3,8,7]=>[7,8,3,5,1,2,4,6]
[6,4,3,7,5,8,1,2]=>[2,1,8,5,7,3,4,6]
[4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]
[2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]
[1,3,7,6,4,2,8,5]=>[5,8,2,4,6,7,3,1]
[2,1,7,5,6,8,4,3]=>[3,4,8,6,5,7,1,2]
[3,7,2,8,6,4,1,5]=>[5,1,4,6,8,2,7,3]
[3,8,1,7,6,4,5,2]=>[2,5,4,6,7,1,8,3]
[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]
[2,7,5,8,3,6,1,4]=>[4,1,6,3,8,5,7,2]
[1,5,6,8,2,4,7,3]=>[3,7,4,2,8,6,5,1]
[2,6,8,5,3,1,4,7]=>[7,4,1,3,5,8,6,2]
[2,6,1,4,7,3,5,8]=>[8,5,3,7,4,1,6,2]
[5,6,7,3,8,4,1,2]=>[2,1,4,8,3,7,6,5]
[5,2,8,1,4,7,3,6]=>[6,3,7,4,1,8,2,5]
[4,6,7,5,2,1,3,8]=>[8,3,1,2,5,7,6,4]
[4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4]
[4,5,7,6,1,8,3,2]=>[2,3,8,1,6,7,5,4]
[1,5,8,6,2,7,3,4]=>[4,3,7,2,6,8,5,1]
[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]
[4,6,5,7,1,2,8,3]=>[3,8,2,1,7,5,6,4]
[4,7,5,6,3,1,8,2]=>[2,8,1,3,6,5,7,4]
[5,1,6,3,4,2,8,7]=>[7,8,2,4,3,6,1,5]
[5,7,1,4,2,3,8,6]=>[6,8,3,2,4,1,7,5]
[5,7,6,4,3,8,1,2]=>[2,1,8,3,4,6,7,5]
[6,3,4,5,8,7,1,2]=>[2,1,7,8,5,4,3,6]
[6,2,4,1,8,3,7,5]=>[5,7,3,8,1,4,2,6]
[6,2,3,5,4,8,1,7]=>[7,1,8,4,5,3,2,6]
[6,1,3,4,5,8,7,2]=>[2,7,8,5,4,3,1,6]
[5,1,4,2,7,6,8,3]=>[3,8,6,7,2,4,1,5]
[1,6,2,4,7,8,3,5]=>[5,3,8,7,4,2,6,1]
[5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]
[6,1,4,2,8,5,3,7]=>[7,3,5,8,2,4,1,6]
[6,7,5,8,1,4,3,2]=>[2,3,4,1,8,5,7,6]
[5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]
[5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]
[4,1,7,2,6,5,3,8]=>[8,3,5,6,2,7,1,4]
[4,8,2,1,5,6,3,7]=>[7,3,6,5,1,2,8,4]
[4,2,7,8,1,6,3,5]=>[5,3,6,1,8,7,2,4]
[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]
[3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]
[3,1,7,4,5,6,8,2]=>[2,8,6,5,4,7,1,3]
[4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]
[4,8,6,3,5,7,1,2]=>[2,1,7,5,3,6,8,4]
[4,8,1,2,5,3,7,6]=>[6,7,3,5,2,1,8,4]
[3,8,6,5,2,4,1,7]=>[7,1,4,2,5,6,8,3]
[3,8,5,6,1,4,7,2]=>[2,7,4,1,6,5,8,3]
[5,3,7,8,2,1,6,4]=>[4,6,1,2,8,7,3,5]
[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]
[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]
[3,6,7,8,5,1,4,2]=>[2,4,1,5,8,7,6,3]
[3,7,6,8,5,2,1,4]=>[4,1,2,5,8,6,7,3]
[3,7,8,5,1,2,4,6]=>[6,4,2,1,5,8,7,3]
[3,7,1,6,4,2,5,8]=>[8,5,2,4,6,1,7,3]
[4,1,8,6,2,3,5,7]=>[7,5,3,2,6,8,1,4]
[4,7,8,6,3,5,1,2]=>[2,1,5,3,6,8,7,4]
[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]
[2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]
[2,8,1,6,4,5,3,7]=>[7,3,5,4,6,1,8,2]
[2,8,7,5,1,4,3,6]=>[6,3,4,1,5,7,8,2]
[2,8,6,7,5,1,3,4]=>[4,3,1,5,7,6,8,2]
[2,7,8,6,5,4,1,3]=>[3,1,4,5,6,8,7,2]
[6,3,1,2,7,4,8,5]=>[5,8,4,7,2,1,3,6]
[6,4,2,7,1,3,8,5]=>[5,8,3,1,7,2,4,6]
[7,4,2,5,1,3,8,6]=>[6,8,3,1,5,2,4,7]
[7,5,3,6,1,8,2,4]=>[4,2,8,1,6,3,5,7]
[8,5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5,8]
[8,3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3,8]
[7,3,6,2,4,8,1,5]=>[5,1,8,4,2,6,3,7]
[4,3,7,1,2,5,8,6]=>[6,8,5,2,1,7,3,4]
[3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]
[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]
[6,3,7,4,1,2,8,5]=>[5,8,2,1,4,7,3,6]
[4,7,1,5,2,3,8,6]=>[6,8,3,2,5,1,7,4]
[3,7,5,1,2,4,8,6]=>[6,8,4,2,1,5,7,3]
[7,6,4,2,3,8,1,5]=>[5,1,8,3,2,4,6,7]
[8,6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6,8]
[4,7,6,3,8,1,2,5]=>[5,2,1,8,3,6,7,4]
[5,7,4,2,3,8,1,6]=>[6,1,8,3,2,4,7,5]
[3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]
[5,7,2,6,1,8,3,4]=>[4,3,8,1,6,2,7,5]
[6,4,7,5,2,8,1,3]=>[3,1,8,2,5,7,4,6]
[7,4,8,5,2,6,1,3]=>[3,1,6,2,5,8,4,7]
[5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]
[3,8,6,1,2,7,4,5]=>[5,4,7,2,1,6,8,3]
[3,8,6,2,4,7,1,5]=>[5,1,7,4,2,6,8,3]
[6,8,4,3,7,1,2,5]=>[5,2,1,7,3,4,8,6]
[6,8,5,3,7,1,2,4]=>[4,2,1,7,3,5,8,6]
[3,8,5,7,1,2,4,6]=>[6,4,2,1,7,5,8,3]
[2,8,5,7,1,3,4,6]=>[6,4,3,1,7,5,8,2]
[4,8,6,2,7,1,3,5]=>[5,3,1,7,2,6,8,4]
[7,3,8,5,6,1,2,4]=>[4,2,1,6,5,8,3,7]
[6,3,7,5,8,1,2,4]=>[4,2,1,8,5,7,3,6]
[2,7,6,4,8,1,3,5]=>[5,3,1,8,4,6,7,2]
[2,6,5,8,1,3,4,7]=>[7,4,3,1,8,5,6,2]
[3,6,5,8,1,2,4,7]=>[7,4,2,1,8,5,6,3]
[2,5,7,4,8,1,3,6]=>[6,3,1,8,4,7,5,2]
[5,4,6,7,2,8,1,3]=>[3,1,8,2,7,6,4,5]
[4,6,3,7,1,8,2,5]=>[5,2,8,1,7,3,6,4]
[3,5,7,1,4,8,2,6]=>[6,2,8,4,1,7,5,3]
[5,3,7,2,4,8,1,6]=>[6,1,8,4,2,7,3,5]
[5,4,7,3,8,1,2,6]=>[6,2,1,8,3,7,4,5]
[7,4,6,3,8,1,2,5]=>[5,2,1,8,3,6,4,7]
[8,4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4,8]
[8,4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4,8]
[7,4,1,6,8,2,3,5]=>[5,3,2,8,6,1,4,7]
[5,4,1,7,8,2,3,6]=>[6,3,2,8,7,1,4,5]
[6,5,3,7,1,8,2,4]=>[4,2,8,1,7,3,5,6]
[6,5,1,2,7,8,3,4]=>[4,3,8,7,2,1,5,6]
[5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]
[6,3,7,4,8,5,1,2]=>[2,1,5,8,4,7,3,6]
[4,7,1,5,8,6,2,3]=>[3,2,6,8,5,1,7,4]
[7,5,1,2,8,6,3,4]=>[4,3,6,8,2,1,5,7]
[7,5,3,8,1,6,2,4]=>[4,2,6,1,8,3,5,7]
[7,4,1,8,6,2,3,5]=>[5,3,2,6,8,1,4,7]
[7,6,1,8,5,2,3,4]=>[4,3,2,5,8,1,6,7]
[8,6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6,8]
[5,7,2,8,1,6,3,4]=>[4,3,6,1,8,2,7,5]
[6,4,7,8,2,5,1,3]=>[3,1,5,2,8,7,4,6]
[6,3,7,8,5,1,2,4]=>[4,2,1,5,8,7,3,6]
[3,6,8,2,7,1,4,5]=>[5,4,1,7,2,8,6,3]
[2,4,8,7,1,3,5,6]=>[6,5,3,1,7,8,4,2]
[4,3,8,7,1,2,5,6]=>[6,5,2,1,7,8,3,4]
[5,3,8,7,1,2,4,6]=>[6,4,2,1,7,8,3,5]
[8,3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3,8]
[8,4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4,8]
[5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,5]
[3,5,8,7,1,2,4,6]=>[6,4,2,1,7,8,5,3]
[2,5,8,7,1,3,4,6]=>[6,4,3,1,7,8,5,2]
[4,6,8,2,7,1,3,5]=>[5,3,1,7,2,8,6,4]
[4,7,1,8,6,2,3,5]=>[5,3,2,6,8,1,7,4]
[7,5,8,6,4,1,2,3]=>[3,2,1,4,6,8,5,7]
[6,8,4,7,5,1,2,3]=>[3,2,1,5,7,4,8,6]
[5,8,7,1,6,2,3,4]=>[4,3,2,6,1,7,8,5]
[2,8,7,6,1,3,4,5]=>[5,4,3,1,6,7,8,2]
[3,8,7,6,1,2,4,5]=>[5,4,2,1,6,7,8,3]
[4,8,7,6,1,2,3,5]=>[5,3,2,1,6,7,8,4]
[5,6,3,1,4,2,8,7]=>[7,8,2,4,1,3,6,5]
[7,5,3,8,2,1,6,4]=>[4,6,1,2,8,3,5,7]
[3,8,7,4,5,1,6,2]=>[2,6,1,5,4,7,8,3]
[6,7,1,4,5,8,2,3]=>[3,2,8,5,4,1,7,6]
[2,1,7,8,5,3,6,4]=>[4,6,3,5,8,7,1,2]
[5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]
[8,7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7,8]
[2,7,8,4,1,6,5,3]=>[3,5,6,1,4,8,7,2]
[7,1,8,4,2,6,5,3]=>[3,5,6,2,4,8,1,7]
[7,5,1,4,8,6,3,2]=>[2,3,6,8,4,1,5,7]
[6,5,3,1,8,4,7,2]=>[2,7,4,8,1,3,5,6]
[6,4,3,8,1,5,7,2]=>[2,7,5,1,8,3,4,6]
[8,6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6,8]
[8,7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7,8]
[7,3,8,4,1,6,5,2]=>[2,5,6,1,4,8,3,7]
[3,6,4,5,7,2,8,1]=>[1,8,2,7,5,4,6,3]
[5,3,2,7,4,6,8,1]=>[1,8,6,4,7,2,3,5]
[7,5,3,6,2,4,8,1]=>[1,8,4,2,6,3,5,7]
[6,3,2,5,1,8,4,7]=>[7,4,8,1,5,2,3,6]
[8,5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5,8]
[8,2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2,8]
[7,2,6,3,4,5,8,1]=>[1,8,5,4,3,6,2,7]
[6,2,7,3,4,5,8,1]=>[1,8,5,4,3,7,2,6]
[3,6,2,7,4,5,8,1]=>[1,8,5,4,7,2,6,3]
[4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]
[5,4,7,6,2,3,8,1]=>[1,8,3,2,6,7,4,5]
[6,7,3,5,2,4,8,1]=>[1,8,4,2,5,3,7,6]
[3,7,6,2,4,5,8,1]=>[1,8,5,4,2,6,7,3]
[2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]
[6,5,3,1,2,8,4,7]=>[7,4,8,2,1,3,5,6]
[8,6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6,8]
[8,5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5,8]
[7,5,2,1,8,3,4,6]=>[6,4,3,8,1,2,5,7]
[1,6,3,2,8,4,5,7]=>[7,5,4,8,2,3,6,1]
[5,7,3,1,2,8,4,6]=>[6,4,8,2,1,3,7,5]
[5,6,2,3,1,8,4,7]=>[7,4,8,1,3,2,6,5]
[4,2,6,5,1,8,3,7]=>[7,3,8,1,5,6,2,4]
[5,4,8,6,2,7,1,3]=>[3,1,7,2,6,8,4,5]
[6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]
[7,8,5,2,3,6,1,4]=>[4,1,6,3,2,5,8,7]
[6,8,2,1,7,3,4,5]=>[5,4,3,7,1,2,8,6]
[1,8,6,3,7,2,4,5]=>[5,4,2,7,3,6,8,1]
[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]
[2,8,1,7,3,4,5,6]=>[6,5,4,3,7,1,8,2]
[3,8,6,1,7,2,4,5]=>[5,4,2,7,1,6,8,3]
[4,8,1,5,7,2,3,6]=>[6,3,2,7,5,1,8,4]
[4,2,8,3,7,1,5,6]=>[6,5,1,7,3,8,2,4]
[4,1,7,5,8,2,3,6]=>[6,3,2,8,5,7,1,4]
[1,7,3,8,2,4,5,6]=>[6,5,4,2,8,3,7,1]
[8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]
[4,2,5,7,1,8,3,6]=>[6,3,8,1,7,5,2,4]
[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]
[6,3,7,1,2,8,4,5]=>[5,4,8,2,1,7,3,6]
[7,2,6,1,8,3,4,5]=>[5,4,3,8,1,6,2,7]
[8,2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2,8]
[7,3,1,5,8,2,4,6]=>[6,4,2,8,5,1,3,7]
[3,2,1,5,8,4,6,7]=>[7,6,4,8,5,1,2,3]
[5,4,1,3,6,8,2,7]=>[7,2,8,6,3,1,4,5]
[1,5,3,4,6,8,2,7]=>[7,2,8,6,4,3,5,1]
[4,3,5,1,6,8,2,7]=>[7,2,8,6,1,5,3,4]
[5,4,6,3,8,7,1,2]=>[2,1,7,8,3,6,4,5]
[3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]
[6,5,3,4,8,7,1,2]=>[2,1,7,8,4,3,5,6]
[5,3,2,8,7,1,4,6]=>[6,4,1,7,8,2,3,5]
[5,3,1,8,7,2,4,6]=>[6,4,2,7,8,1,3,5]
[8,5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5,8]
[6,1,8,3,7,2,4,5]=>[5,4,2,7,3,8,1,6]
[6,3,8,1,7,2,4,5]=>[5,4,2,7,1,8,3,6]
[7,6,8,2,3,5,1,4]=>[4,1,5,3,2,8,6,7]
[3,7,8,2,4,6,1,5]=>[5,1,6,4,2,8,7,3]
[6,7,3,8,2,5,1,4]=>[4,1,5,2,8,3,7,6]
[5,4,7,8,2,6,1,3]=>[3,1,6,2,8,7,4,5]
[4,2,5,8,7,1,3,6]=>[6,3,1,7,8,5,2,4]
[3,6,2,8,7,1,4,5]=>[5,4,1,7,8,2,6,3]
[3,7,8,1,6,2,4,5]=>[5,4,2,6,1,8,7,3]
[2,3,8,7,1,4,5,6]=>[6,5,4,1,7,8,3,2]
[7,2,8,6,1,3,4,5]=>[5,4,3,1,6,8,2,7]
[2,1,8,7,3,4,5,6]=>[6,5,4,3,7,8,1,2]
[8,2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2,8]
[1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]
[1,3,8,7,2,4,5,6]=>[6,5,4,2,7,8,3,1]
[1,7,8,3,6,2,4,5]=>[5,4,2,6,3,8,7,1]
[4,1,5,8,7,2,3,6]=>[6,3,2,7,8,5,1,4]
[5,4,8,7,6,1,2,3]=>[3,2,1,6,7,8,4,5]
[6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]
[7,8,6,2,5,1,3,4]=>[4,3,1,5,2,6,8,7]
[8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]
[8,1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1,8]
[8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]
[8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]
[7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]
[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]
[7,4,8,3,2,6,5,1]=>[1,5,6,2,3,8,4,7]
[7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]
[8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]
[8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]
[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]
[8,1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1,8]
[8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]
[8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]
[8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]
[8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]
[7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]
[7,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,7]
[6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]
[6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]
[7,4,1,3,2,5,8,6]=>[6,8,5,2,3,1,4,7]
[7,4,1,3,2,6,8,5]=>[5,8,6,2,3,1,4,7]
[7,5,1,3,6,2,8,4]=>[4,8,2,6,3,1,5,7]
[7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]
[7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]
[7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]
[7,4,8,3,2,5,1,6]=>[6,1,5,2,3,8,4,7]
[6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]
[6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]
[5,4,3,2,8,6,1,7]=>[7,1,6,8,2,3,4,5]
[5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]
[6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]
[6,5,4,8,7,1,2,3]=>[3,2,1,7,8,4,5,6]
[6,5,4,1,7,8,2,3]=>[3,2,8,7,1,4,5,6]
[6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]
[6,4,3,1,2,7,8,5]=>[5,8,7,2,1,3,4,6]
[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]
[6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]
[6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]
[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]
[7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]
[6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]
[6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]
[6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]
[6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]
[6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]
[6,5,3,1,8,2,4,7]=>[7,4,2,8,1,3,5,6]
[7,5,1,3,8,2,4,6]=>[6,4,2,8,3,1,5,7]
[7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]
[7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]
[7,6,8,1,4,5,2,3]=>[3,2,5,4,1,8,6,7]
[7,6,8,1,3,2,5,4]=>[4,5,2,3,1,8,6,7]
[6,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,6]
[6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]
[6,4,3,7,2,1,5,8]=>[8,5,1,2,7,3,4,6]
[7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]
[7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]
[7,5,8,3,1,2,6,4]=>[4,6,2,1,3,8,5,7]
[7,5,8,4,1,6,2,3]=>[3,2,6,1,4,8,5,7]
[6,5,4,8,1,7,2,3]=>[3,2,7,1,8,4,5,6]
[6,5,3,8,1,2,7,4]=>[4,7,2,1,8,3,5,6]
[5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]
[6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]
[6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]
[6,5,4,7,1,8,2,3]=>[3,2,8,1,7,4,5,6]
[6,5,3,7,8,2,1,4]=>[4,1,2,8,7,3,5,6]
[6,4,3,7,2,8,1,5]=>[5,1,8,2,7,3,4,6]
[5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]
[5,4,3,2,6,8,1,7]=>[7,1,8,6,2,3,4,5]
[5,6,2,1,3,4,8,7]=>[7,8,4,3,1,2,6,5]
[5,8,2,7,4,1,3,6]=>[6,3,1,4,7,2,8,5]
[5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]
[7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]
[2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]
[8,3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3,8]
[7,8,1,2,5,4,6,3]=>[3,6,4,5,2,1,8,7]
[2,6,8,3,1,4,7,5]=>[5,7,4,1,3,8,6,2]
[6,1,8,3,2,4,5,7]=>[7,5,4,2,3,8,1,6]
[8,4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4,8]
[5,8,7,4,2,1,6,3]=>[3,6,1,2,4,7,8,5]
[7,5,1,6,8,3,4,2]=>[2,4,3,8,6,1,5,7]
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]
[4,7,2,8,1,3,6,5]=>[5,6,3,1,8,2,7,4]
[7,3,8,6,1,2,5,4]=>[4,5,2,1,6,8,3,7]
[3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]
[1,8,2,4,3,5,6,7]=>[7,6,5,3,4,2,8,1]
[1,7,2,4,3,5,6,8]=>[8,6,5,3,4,2,7,1]
[1,6,2,4,3,5,7,8]=>[8,7,5,3,4,2,6,1]
[1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1]
[1,6,2,5,3,4,7,8]=>[8,7,4,3,5,2,6,1]
[1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1]
[1,8,2,5,3,4,6,7]=>[7,6,4,3,5,2,8,1]
[1,8,2,6,3,4,5,7]=>[7,5,4,3,6,2,8,1]
[1,7,2,6,3,4,5,8]=>[8,5,4,3,6,2,7,1]
[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]
[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]
[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]
[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]
[1,4,2,8,3,6,5,7]=>[7,5,6,3,8,2,4,1]
[1,3,2,8,4,6,5,7]=>[7,5,6,4,8,2,3,1]
[1,2,3,8,4,6,5,7]=>[7,5,6,4,8,3,2,1]
[1,2,3,7,4,6,5,8]=>[8,5,6,4,7,3,2,1]
[1,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,1]
[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]
[1,5,2,7,3,6,4,8]=>[8,4,6,3,7,2,5,1]
[1,6,2,7,3,5,4,8]=>[8,4,5,3,7,2,6,1]
[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]
[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]
[1,8,2,5,3,6,4,7]=>[7,4,6,3,5,2,8,1]
[1,7,2,5,3,6,4,8]=>[8,4,6,3,5,2,7,1]
[1,6,2,5,3,7,4,8]=>[8,4,7,3,5,2,6,1]
[1,5,2,4,3,7,6,8]=>[8,6,7,3,4,2,5,1]
[1,6,2,4,3,7,5,8]=>[8,5,7,3,4,2,6,1]
[1,7,2,4,3,6,5,8]=>[8,5,6,3,4,2,7,1]
[1,8,2,4,3,6,5,7]=>[7,5,6,3,4,2,8,1]
[1,8,2,3,4,6,5,7]=>[7,5,6,4,3,2,8,1]
[1,7,2,3,4,6,5,8]=>[8,5,6,4,3,2,7,1]
[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]
[1,8,2,4,3,7,5,6]=>[6,5,7,3,4,2,8,1]
[1,7,2,4,3,8,5,6]=>[6,5,8,3,4,2,7,1]
[1,6,2,4,3,8,5,7]=>[7,5,8,3,4,2,6,1]
[1,5,2,4,3,8,6,7]=>[7,6,8,3,4,2,5,1]
[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]
[1,7,2,5,3,8,4,6]=>[6,4,8,3,5,2,7,1]
[1,8,2,5,3,7,4,6]=>[6,4,7,3,5,2,8,1]
[1,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,1]
[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]
[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]
[1,3,2,8,4,7,5,6]=>[6,5,7,4,8,2,3,1]
[1,4,2,8,3,7,5,6]=>[6,5,7,3,8,2,4,1]
[1,5,2,8,3,7,4,6]=>[6,4,7,3,8,2,5,1]
[1,6,2,8,3,7,4,5]=>[5,4,7,3,8,2,6,1]
[1,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,1]
[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]
[4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]
[4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]
[4,6,3,8,5,1,7,2]=>[2,7,1,5,8,3,6,4]
[4,6,3,8,5,1,2,7]=>[7,2,1,5,8,3,6,4]
[5,6,8,3,4,1,2,7]=>[7,2,1,4,3,8,6,5]
[5,6,8,3,4,1,7,2]=>[2,7,1,4,3,8,6,5]
[4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]
[5,6,7,2,4,3,1,8]=>[8,1,3,4,2,7,6,5]
[5,6,8,4,3,1,7,2]=>[2,7,1,3,4,8,6,5]
[5,6,8,4,3,1,2,7]=>[7,2,1,3,4,8,6,5]
[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]
[5,7,8,4,1,6,3,2]=>[2,3,6,1,4,8,7,5]
[5,7,8,4,1,3,6,2]=>[2,6,3,1,4,8,7,5]
[5,6,8,4,2,1,7,3]=>[3,7,1,2,4,8,6,5]
[5,6,8,2,4,1,7,3]=>[3,7,1,4,2,8,6,5]
[4,6,2,8,5,1,7,3]=>[3,7,1,5,8,2,6,4]
[3,2,6,8,5,1,7,4]=>[4,7,1,5,8,6,2,3]
[3,2,6,8,5,1,4,7]=>[7,4,1,5,8,6,2,3]
[4,6,2,8,5,1,3,7]=>[7,3,1,5,8,2,6,4]
[5,6,8,2,4,1,3,7]=>[7,3,1,4,2,8,6,5]
[5,6,8,4,2,1,3,7]=>[7,3,1,2,4,8,6,5]
[5,7,8,4,1,3,2,6]=>[6,2,3,1,4,8,7,5]
[5,7,8,4,1,2,6,3]=>[3,6,2,1,4,8,7,5]
[5,7,8,4,1,2,3,6]=>[6,3,2,1,4,8,7,5]
[6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]
[6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]
[6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]
[6,7,8,1,3,5,2,4]=>[4,2,5,3,1,8,7,6]
[5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]
[4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]
[3,2,7,8,1,6,4,5]=>[5,4,6,1,8,7,2,3]
[3,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,3]
[4,7,2,8,1,6,5,3]=>[3,5,6,1,8,2,7,4]
[5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]
[6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]
[6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]
[6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]
[6,7,8,1,5,4,2,3]=>[3,2,4,5,1,8,7,6]
[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]
[6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]
[6,7,8,1,4,3,5,2]=>[2,5,3,4,1,8,7,6]
[6,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,6]
[5,7,8,2,1,4,6,3]=>[3,6,4,1,2,8,7,5]
[4,7,2,8,1,5,6,3]=>[3,6,5,1,8,2,7,4]
[3,2,7,8,1,5,6,4]=>[4,6,5,1,8,7,2,3]
[3,2,6,8,4,1,7,5]=>[5,7,1,4,8,6,2,3]
[4,6,2,8,3,1,7,5]=>[5,7,1,3,8,2,6,4]
[5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]
[5,7,8,3,1,4,6,2]=>[2,6,4,1,3,8,7,5]
[5,7,8,3,1,6,4,2]=>[2,4,6,1,3,8,7,5]
[5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]
[4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]
[4,7,3,8,1,6,5,2]=>[2,5,6,1,8,3,7,4]
[4,7,3,8,1,5,6,2]=>[2,6,5,1,8,3,7,4]
[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]
[4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]
[4,5,2,3,8,1,7,6]=>[6,7,1,8,3,2,5,4]
[3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]
[4,5,3,2,8,1,6,7]=>[7,6,1,8,2,3,5,4]
[4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]
[4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]
[4,7,3,8,1,2,6,5]=>[5,6,2,1,8,3,7,4]
[4,7,3,8,1,2,5,6]=>[6,5,2,1,8,3,7,4]
[5,7,8,3,1,2,4,6]=>[6,4,2,1,3,8,7,5]
[5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]
[5,7,8,3,1,4,2,6]=>[6,2,4,1,3,8,7,5]
[5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]
[3,2,7,8,1,5,4,6]=>[6,4,5,1,8,7,2,3]
[5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]
[6,7,8,1,3,4,2,5]=>[5,2,4,3,1,8,7,6]
[6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]
[6,7,8,1,4,2,5,3]=>[3,5,2,4,1,8,7,6]
[6,7,8,1,4,2,3,5]=>[5,3,2,4,1,8,7,6]
[6,7,8,1,2,5,3,4]=>[4,3,5,2,1,8,7,6]
[6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]
[6,7,8,1,2,4,5,3]=>[3,5,4,2,1,8,7,6]
[6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]
[5,7,8,2,1,3,6,4]=>[4,6,3,1,2,8,7,5]
[3,2,7,8,1,4,6,5]=>[5,6,4,1,8,7,2,3]
[6,7,8,1,3,2,4,5]=>[5,4,2,3,1,8,7,6]
[6,7,8,1,2,4,3,5]=>[5,3,4,2,1,8,7,6]
[6,7,8,1,2,3,5,4]=>[4,5,3,2,1,8,7,6]
[7,2,8,5,1,6,4,3]=>[3,4,6,1,5,8,2,7]
[1,3,7,5,2,6,4,8]=>[8,4,6,2,5,7,3,1]
[1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]
[7,2,8,5,4,1,6,3]=>[3,6,1,4,5,8,2,7]
[2,8,5,4,3,1,7,6]=>[6,7,1,3,4,5,8,2]
[2,8,4,5,6,1,7,3]=>[3,7,1,6,5,4,8,2]
[2,8,6,5,7,3,1,4]=>[4,1,3,7,5,6,8,2]
[2,8,4,5,3,7,1,6]=>[6,1,7,3,5,4,8,2]
[2,8,4,3,5,6,1,7]=>[7,1,6,5,3,4,8,2]
[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]
[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]
[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]
[6,3,2,8,5,1,4,7]=>[7,4,1,5,8,2,3,6]
[7,4,8,2,5,6,3,1]=>[1,3,6,5,2,8,4,7]
[7,4,8,5,2,1,3,6]=>[6,3,1,2,5,8,4,7]
[6,4,8,5,1,3,7,2]=>[2,7,3,1,5,8,4,6]
[6,3,7,5,2,1,8,4]=>[4,8,1,2,5,7,3,6]
[4,3,7,5,1,2,8,6]=>[6,8,2,1,5,7,3,4]
[4,3,7,1,5,6,8,2]=>[2,8,6,5,1,7,3,4]
[3,6,1,7,5,2,8,4]=>[4,8,2,5,7,1,6,3]
[3,4,1,2,7,6,8,5]=>[5,8,6,7,2,1,4,3]
[3,4,2,1,7,5,8,6]=>[6,8,5,7,1,2,4,3]
[3,6,5,7,1,4,8,2]=>[2,8,4,1,7,5,6,3]
[6,5,2,7,4,1,8,3]=>[3,8,1,4,7,2,5,6]
[3,5,2,6,4,8,7,1]=>[1,7,8,4,6,2,5,3]
[5,3,1,8,6,4,7,2]=>[2,7,4,6,8,1,3,5]
[5,6,1,8,7,2,4,3]=>[3,4,2,7,8,1,6,5]
[6,3,5,8,2,7,4,1]=>[1,4,7,2,8,5,3,6]
[6,5,8,4,2,3,7,1]=>[1,7,3,2,4,8,5,6]
[6,2,5,8,3,7,1,4]=>[4,1,7,3,8,5,2,6]
[1,6,5,7,3,4,2,8]=>[8,2,4,3,7,5,6,1]
[1,5,2,7,4,6,3,8]=>[8,3,6,4,7,2,5,1]
[5,2,1,8,7,6,3,4]=>[4,3,6,7,8,1,2,5]
[7,1,3,8,4,6,2,5]=>[5,2,6,4,8,3,1,7]
[2,3,4,8,6,1,7,5]=>[5,7,1,6,8,4,3,2]
[2,3,4,8,6,5,1,7]=>[7,1,5,6,8,4,3,2]
[2,7,3,5,8,6,1,4]=>[4,1,6,8,5,3,7,2]
[3,2,4,7,8,6,1,5]=>[5,1,6,8,7,4,2,3]
[1,5,4,6,2,7,3,8]=>[8,3,7,2,6,4,5,1]
[5,2,4,7,1,8,3,6]=>[6,3,8,1,7,4,2,5]
[5,3,6,4,1,8,7,2]=>[2,7,8,1,4,6,3,5]
[5,3,6,1,4,8,2,7]=>[7,2,8,4,1,6,3,5]
[7,3,5,6,8,4,2,1]=>[1,2,4,8,6,5,3,7]
[6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]
[2,6,1,5,8,4,7,3]=>[3,7,4,8,5,1,6,2]
[2,7,6,5,8,3,4,1]=>[1,4,3,8,5,6,7,2]
[5,7,1,6,3,8,4,2]=>[2,4,8,3,6,1,7,5]
[3,2,4,1,7,8,5,6]=>[6,5,8,7,1,4,2,3]
[3,1,4,2,7,8,6,5]=>[5,6,8,7,2,4,1,3]
[5,1,4,7,2,8,6,3]=>[3,6,8,2,7,4,1,5]
[3,6,4,7,8,2,5,1]=>[1,5,2,8,7,4,6,3]
[3,1,4,6,8,5,7,2]=>[2,7,5,8,6,4,1,3]
[6,3,4,5,7,1,8,2]=>[2,8,1,7,5,4,3,6]
[2,5,4,6,1,7,8,3]=>[3,8,7,1,6,4,5,2]
[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]
[7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]
[7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]
[7,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,7]
[6,7,3,2,5,4,8,1]=>[1,8,4,5,2,3,7,6]
[1,8,3,2,5,4,7,6]=>[6,7,4,5,2,3,8,1]
[1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]
[7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]
[7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]
[7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]
[7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]
[7,4,6,5,1,3,2,8]=>[8,2,3,1,5,6,4,7]
[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]
[1,8,6,4,3,7,2,5]=>[5,2,7,3,4,6,8,1]
[6,5,7,4,3,1,8,2]=>[2,8,1,3,4,7,5,6]
[6,4,7,5,1,3,8,2]=>[2,8,3,1,5,7,4,6]
[6,3,7,1,5,4,8,2]=>[2,8,4,5,1,7,3,6]
[6,2,1,7,5,4,8,3]=>[3,8,4,5,7,1,2,6]
[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]
[2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]
[2,4,8,5,1,3,7,6]=>[6,7,3,1,5,8,4,2]
[2,5,8,4,3,1,7,6]=>[6,7,1,3,4,8,5,2]
[2,6,8,4,3,7,1,5]=>[5,1,7,3,4,8,6,2]
[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]
[1,8,7,4,3,6,5,2]=>[2,5,6,3,4,7,8,1]
[1,8,7,5,6,3,4,2]=>[2,4,3,6,5,7,8,1]
[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]
[2,6,8,5,7,3,1,4]=>[4,1,3,7,5,8,6,2]
[2,5,8,6,7,1,3,4]=>[4,3,1,7,6,8,5,2]
[2,4,8,6,1,7,3,5]=>[5,3,7,1,6,8,4,2]
[3,2,1,8,6,7,4,5]=>[5,4,7,6,8,1,2,3]
[5,2,1,7,6,8,4,3]=>[3,4,8,6,7,1,2,5]
[5,3,7,1,6,8,4,2]=>[2,4,8,6,1,7,3,5]
[5,4,7,6,1,8,3,2]=>[2,3,8,1,6,7,4,5]
[4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]
[4,6,7,5,8,3,1,2]=>[2,1,3,8,5,7,6,4]
[1,8,6,5,7,3,2,4]=>[4,2,3,7,5,6,8,1]
[1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]
[4,7,5,6,8,2,3,1]=>[1,3,2,8,6,5,7,4]
[4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]
[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]
[5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]
[5,2,1,6,7,8,3,4]=>[4,3,8,7,6,1,2,5]
[6,2,1,5,7,3,8,4]=>[4,8,3,7,5,1,2,6]
[6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]
[6,4,5,7,1,2,8,3]=>[3,8,2,1,7,5,4,6]
[6,5,4,7,2,1,8,3]=>[3,8,1,2,7,4,5,6]
[5,6,4,7,2,8,1,3]=>[3,1,8,2,7,4,6,5]
[1,8,4,6,2,7,3,5]=>[5,3,7,2,6,4,8,1]
[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]
[5,7,3,2,6,8,4,1]=>[1,4,8,6,2,3,7,5]
[5,6,3,2,7,8,1,4]=>[4,1,8,7,2,3,6,5]
[6,5,3,2,7,1,8,4]=>[4,8,1,7,2,3,5,6]
[6,4,3,2,1,7,8,5]=>[5,8,7,1,2,3,4,6]
[6,2,1,4,3,7,8,5]=>[5,8,7,3,4,1,2,6]
[5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]
[5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]
[4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]
[4,7,3,2,8,6,5,1]=>[1,5,6,8,2,3,7,4]
[1,8,3,2,7,6,5,4]=>[4,5,6,7,2,3,8,1]
[1,8,4,7,2,6,5,3]=>[3,5,6,2,7,4,8,1]
[3,7,4,8,2,6,5,1]=>[1,5,6,2,8,4,7,3]
[3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]
[3,5,4,8,2,1,7,6]=>[6,7,1,2,8,4,5,3]
[3,4,5,8,1,2,7,6]=>[6,7,2,1,8,5,4,3]
[4,3,5,1,8,2,7,6]=>[6,7,2,8,1,5,3,4]
[4,2,1,5,8,3,7,6]=>[6,7,3,8,5,1,2,4]
[4,2,1,6,8,7,3,5]=>[5,3,7,8,6,1,2,4]
[4,3,6,1,8,7,2,5]=>[5,2,7,8,1,6,3,4]
[3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]
[3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]
[3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]
[3,7,5,8,6,2,4,1]=>[1,4,2,6,8,5,7,3]
[1,8,5,7,6,2,4,3]=>[3,4,2,6,7,5,8,1]
[1,8,6,7,5,4,2,3]=>[3,2,4,5,7,6,8,1]
[3,6,7,8,5,4,1,2]=>[2,1,4,5,8,7,6,3]
[3,5,7,8,6,1,4,2]=>[2,4,1,6,8,7,5,3]
[3,4,7,8,1,6,5,2]=>[2,5,6,1,8,7,4,3]
[4,2,1,7,8,6,5,3]=>[3,5,6,8,7,1,2,4]
[2,3,8,1,7,6,5,4]=>[4,5,6,7,1,8,3,2]
[2,4,8,7,1,6,5,3]=>[3,5,6,1,7,8,4,2]
[2,5,8,7,6,1,4,3]=>[3,4,1,6,7,8,5,2]
[2,6,8,7,5,4,1,3]=>[3,1,4,5,7,8,6,2]
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]
[8,3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3,8]
[8,3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3,8]
[4,8,3,1,7,5,6,2]=>[2,6,5,7,1,3,8,4]
[4,6,2,1,7,5,8,3]=>[3,8,5,7,1,2,6,4]
[1,4,6,2,7,5,8,3]=>[3,8,5,7,2,6,4,1]
[1,7,5,2,6,8,4,3]=>[3,4,8,6,2,5,7,1]
[7,5,2,1,6,8,4,3]=>[3,4,8,6,1,2,5,7]
[6,8,4,3,1,7,5,2]=>[2,5,7,1,3,4,8,6]
[3,6,8,4,1,7,5,2]=>[2,5,7,1,4,8,6,3]
[3,6,7,5,1,8,4,2]=>[2,4,8,1,5,7,6,3]
[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]
[3,4,6,5,7,1,8,2]=>[2,8,1,7,5,6,4,3]
[4,7,5,6,1,8,3,2]=>[2,3,8,1,6,5,7,4]
[6,7,5,1,8,4,3,2]=>[2,3,4,8,1,5,7,6]
[6,8,4,1,7,5,3,2]=>[2,3,5,7,1,4,8,6]
[6,7,5,3,1,8,4,2]=>[2,4,8,1,3,5,7,6]
[8,4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4,8]
[1,8,4,2,6,7,5,3]=>[3,5,7,6,2,4,8,1]
[1,5,3,2,7,6,8,4]=>[4,8,6,7,2,3,5,1]
[5,3,2,1,7,6,8,4]=>[4,8,6,7,1,2,3,5]
[2,5,3,1,7,6,8,4]=>[4,8,6,7,1,3,5,2]
[2,8,4,1,6,7,5,3]=>[3,5,7,6,1,4,8,2]
[2,7,5,1,6,8,4,3]=>[3,4,8,6,1,5,7,2]
[2,4,6,1,7,5,8,3]=>[3,8,5,7,1,6,4,2]
[4,7,1,6,5,8,2,3]=>[3,2,8,5,6,1,7,4]
[4,8,2,6,5,7,1,3]=>[3,1,7,5,6,2,8,4]
[4,6,1,2,7,5,8,3]=>[3,8,5,7,2,1,6,4]
[7,5,1,2,6,8,4,3]=>[3,4,8,6,2,1,5,7]
[8,4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4,8]
[5,3,1,2,7,6,8,4]=>[4,8,6,7,2,1,3,5]
[1,2,5,3,7,6,8,4]=>[4,8,6,7,3,5,2,1]
[4,3,1,2,7,6,8,5]=>[5,8,6,7,2,1,3,4]
[3,5,1,2,7,6,8,4]=>[4,8,6,7,2,1,5,3]
[6,7,1,5,8,2,3,4]=>[4,3,2,8,5,1,7,6]
[2,7,6,1,5,8,3,4]=>[4,3,8,5,1,6,7,2]
[2,3,5,1,7,6,8,4]=>[4,8,6,7,1,5,3,2]
[7,6,1,5,8,3,2,4]=>[4,2,3,8,5,1,6,7]
[3,6,7,1,5,8,2,4]=>[4,2,8,5,1,7,6,3]
[7,1,6,5,8,2,4,3]=>[3,4,2,8,5,6,1,7]
[7,5,1,6,8,4,2,3]=>[3,2,4,8,6,1,5,7]
[8,4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4,8]
[5,2,3,1,7,6,8,4]=>[4,8,6,7,1,3,2,5]
[3,5,2,1,7,6,8,4]=>[4,8,6,7,1,2,5,3]
[1,3,5,2,7,6,8,4]=>[4,8,6,7,2,5,3,1]
[1,7,6,2,5,8,3,4]=>[4,3,8,5,2,6,7,1]
[7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]
[8,3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3,8]
[6,2,4,1,7,5,8,3]=>[3,8,5,7,1,4,2,6]
[6,2,5,1,7,4,8,3]=>[3,8,4,7,1,5,2,6]
[7,1,6,4,8,2,5,3]=>[3,5,2,8,4,6,1,7]
[8,2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2,8]
[6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]
[7,6,2,5,8,3,1,4]=>[4,1,3,8,5,2,6,7]
[8,3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3,8]
[1,8,3,5,7,6,2,4]=>[4,2,6,7,5,3,8,1]
[1,5,2,3,7,6,8,4]=>[4,8,6,7,3,2,5,1]
[5,2,1,3,7,6,8,4]=>[4,8,6,7,3,1,2,5]
[7,5,2,6,8,4,1,3]=>[3,1,4,8,6,2,5,7]
[8,4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4,8]
[6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]
[8,2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2,8]
[3,6,8,2,5,7,1,4]=>[4,1,7,5,2,8,6,3]
[8,3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3,8]
[5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]
[4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]
[4,2,1,3,7,6,8,5]=>[5,8,6,7,3,1,2,4]
[1,4,2,3,7,6,8,5]=>[5,8,6,7,3,2,4,1]
[2,4,1,3,7,6,8,5]=>[5,8,6,7,3,1,4,2]
[2,5,1,3,7,6,8,4]=>[4,8,6,7,3,1,5,2]
[2,8,3,5,7,6,1,4]=>[4,1,6,7,5,3,8,2]
[6,8,2,3,5,7,1,4]=>[4,1,7,5,3,2,8,6]
[6,7,1,3,5,8,2,4]=>[4,2,8,5,3,1,7,6]
[8,3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3,8]
[5,1,2,3,7,6,8,4]=>[4,8,6,7,3,2,1,5]
[3,1,2,4,7,6,8,5]=>[5,8,6,7,4,2,1,3]
[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]
[8,1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1,8]
[8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]
[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]
[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]
[2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]
[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]
[7,3,1,4,2,6,8,5]=>[5,8,6,2,4,1,3,7]
[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]
[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]
[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]
[3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]
[3,7,8,2,4,5,1,6]=>[6,1,5,4,2,8,7,3]
[3,6,2,8,4,5,1,7]=>[7,1,5,4,8,2,6,3]
[2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]
[3,5,2,4,8,6,1,7]=>[7,1,6,8,4,2,5,3]
[3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]
[4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]
[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]
[7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]
[6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]
[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]
[2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]
[6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]
[6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]
[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]
[2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]
[4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]
[4,7,8,2,3,1,5,6]=>[6,5,1,3,2,8,7,4]
[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]
[5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]
[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]
[4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]
[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]
[3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]
[3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]
[3,4,2,5,6,8,1,7]=>[7,1,8,6,5,2,4,3]
[5,2,7,8,6,4,1,3]=>[3,1,4,6,8,7,2,5]
[5,1,2,7,8,6,4,3]=>[3,4,6,8,7,2,1,5]
[4,7,1,8,6,5,2,3]=>[3,2,5,6,8,1,7,4]
[4,7,1,2,8,6,5,3]=>[3,5,6,8,2,1,7,4]
[4,6,8,1,2,7,5,3]=>[3,5,7,2,1,8,6,4]
[6,8,7,1,5,3,2,4]=>[4,2,3,5,1,7,8,6]
[6,8,7,3,5,1,2,4]=>[4,2,1,5,3,7,8,6]
[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]
[7,8,1,3,6,5,2,4]=>[4,2,5,6,3,1,8,7]
[7,8,3,6,5,2,1,4]=>[4,1,2,5,6,3,8,7]
[4,7,2,8,6,1,5,3]=>[3,5,1,6,8,2,7,4]
[1,7,3,4,8,6,5,2]=>[2,5,6,8,4,3,7,1]
[4,2,7,1,8,6,5,3]=>[3,5,6,8,1,7,2,4]
[7,8,2,3,6,5,1,4]=>[4,1,5,6,3,2,8,7]
[8,5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5,8]
[8,5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5,8]
[6,8,2,7,1,3,5,4]=>[4,5,3,1,7,2,8,6]
[6,8,7,2,5,3,1,4]=>[4,1,3,5,2,7,8,6]
[6,2,4,8,7,1,5,3]=>[3,5,1,7,8,4,2,6]
[1,6,8,3,7,4,5,2]=>[2,5,4,7,3,8,6,1]
[1,6,8,3,4,7,5,2]=>[2,5,7,4,3,8,6,1]
[6,2,4,8,1,7,5,3]=>[3,5,7,1,8,4,2,6]
[6,8,7,2,3,5,1,4]=>[4,1,5,3,2,7,8,6]
[6,8,2,1,7,3,5,4]=>[4,5,3,7,1,2,8,6]
[8,5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5,8]
[8,5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5,8]
[8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8]
[8,5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5,8]
[5,8,4,2,7,1,6,3]=>[3,6,1,7,2,4,8,5]
[1,8,7,5,3,4,6,2]=>[2,6,4,3,5,7,8,1]
[1,8,7,3,5,4,6,2]=>[2,6,4,5,3,7,8,1]
[8,2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2,8]
[8,5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5,8]
[8,7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7,8]
[8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8]
[8,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,8]
[8,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,8]
[5,8,4,7,2,1,6,3]=>[3,6,1,2,7,4,8,5]
[1,8,7,5,4,3,6,2]=>[2,6,3,4,5,7,8,1]
[1,6,8,4,3,7,5,2]=>[2,5,7,3,4,8,6,1]
[6,8,7,3,2,5,1,4]=>[4,1,5,2,3,7,8,6]
[6,8,1,7,3,2,5,4]=>[4,5,2,3,7,1,8,6]
[8,5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5,8]
[8,5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5,8]
[8,5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5,8]
[5,8,4,7,1,2,6,3]=>[3,6,2,1,7,4,8,5]
[5,8,4,1,7,2,6,3]=>[3,6,2,7,1,4,8,5]
[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]
[8,1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1,8]
[8,2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2,8]
[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]
[4,8,5,7,1,2,6,3]=>[3,6,2,1,7,5,8,4]
[4,8,5,1,7,2,6,3]=>[3,6,2,7,1,5,8,4]
[8,5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5,8]
[8,5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5,8]
[6,8,1,3,7,2,5,4]=>[4,5,2,7,3,1,8,6]
[4,6,2,8,1,7,5,3]=>[3,5,7,1,8,2,6,4]
[1,6,4,8,3,7,5,2]=>[2,5,7,3,8,4,6,1]
[1,8,7,4,5,3,6,2]=>[2,6,3,5,4,7,8,1]
[4,8,5,7,2,1,6,3]=>[3,6,1,2,7,5,8,4]
[8,5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5,8]
[8,7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7,8]
[8,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,8]
[8,5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5,8]
[4,8,5,2,7,1,6,3]=>[3,6,1,7,2,5,8,4]
[1,8,7,4,3,5,6,2]=>[2,6,5,3,4,7,8,1]
[1,8,7,3,4,5,6,2]=>[2,6,5,4,3,7,8,1]
[8,2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2,8]
[8,5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5,8]
[6,3,1,5,4,2,8,7]=>[7,8,2,4,5,1,3,6]
[8,3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3,8]
[8,5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5,8]
[8,5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5,8]
[6,5,4,2,1,3,8,7]=>[7,8,3,1,2,4,5,6]
[6,5,4,2,3,1,8,7]=>[7,8,1,3,2,4,5,6]
[6,3,2,5,1,4,8,7]=>[7,8,4,1,5,2,3,6]
[6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]
[6,5,4,1,3,2,8,7]=>[7,8,2,3,1,4,5,6]
[8,5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5,8]
[8,7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7,8]
[8,7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7,8]
[8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8]
[8,5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5,8]
[8,5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5,8]
[8,3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3,8]
[2,1,8,5,3,7,6,4]=>[4,6,7,3,5,8,1,2]
[8,3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3,8]
[8,5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5,8]
[8,5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5,8]
[8,7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7,8]
[8,7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7,8]
[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]
[8,7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7,8]
[8,3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3,8]
[2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]
[2,1,8,7,6,4,5,3]=>[3,5,4,6,7,8,1,2]
[8,3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3,8]
[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]
[8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]
[8,5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5,8]
[8,7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7,8]
[8,7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7,8]
[8,7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7,8]
[8,3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3,8]
[8,3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3,8]
[8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8]
[8,3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3,8]
[8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]
[8,3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3,8]
[8,3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3,8]
[8,7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7,8]
[8,7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7,8]
[8,5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5,8]
[8,3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3,8]
[2,1,8,5,4,7,3,6]=>[6,3,7,4,5,8,1,2]
[8,3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3,8]
[8,7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7,8]
[8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]
[8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8]
[8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8]
[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]
[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]
[8,7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7,8]
[8,3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3,8]
[2,1,8,7,6,3,5,4]=>[4,5,3,6,7,8,1,2]
[8,3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3,8]
[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]
[8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]
[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]
[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]
[4,5,6,2,1,8,7,3]=>[3,7,8,1,2,6,5,4]
[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]
[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]
[7,6,4,1,8,5,3,2]=>[2,3,5,8,1,4,6,7]
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]
[1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]
[1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]
[2,5,3,1,7,8,6,4]=>[4,6,8,7,1,3,5,2]
[2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]
[2,6,5,1,7,8,4,3]=>[3,4,8,7,1,5,6,2]
[4,5,7,1,6,8,2,3]=>[3,2,8,6,1,7,5,4]
[6,5,1,2,8,4,3,7]=>[7,3,4,8,2,1,5,6]
[6,4,1,2,8,5,3,7]=>[7,3,5,8,2,1,4,6]
[5,3,1,2,8,6,4,7]=>[7,4,6,8,2,1,3,5]
[4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]
[6,1,2,5,8,3,4,7]=>[7,4,3,8,5,2,1,6]
[7,1,3,4,8,2,5,6]=>[6,5,2,8,4,3,1,7]
[7,1,5,6,8,2,3,4]=>[4,3,2,8,6,5,1,7]
[2,6,1,5,7,8,3,4]=>[4,3,8,7,5,1,6,2]
[7,4,1,6,8,5,2,3]=>[3,2,5,8,6,1,4,7]
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]
[3,5,2,1,6,8,7,4]=>[4,7,8,6,1,2,5,3]
[1,6,2,5,7,3,4,8]=>[8,4,3,7,5,2,6,1]
[6,2,1,5,8,7,3,4]=>[4,3,7,8,5,1,2,6]
[7,3,1,5,8,6,2,4]=>[4,2,6,8,5,1,3,7]
[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]
[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]
[7,3,1,4,8,6,2,5]=>[5,2,6,8,4,1,3,7]
[6,2,1,4,8,7,3,5]=>[5,3,7,8,4,1,2,6]
[1,6,2,4,7,3,5,8]=>[8,5,3,7,4,2,6,1]
[5,2,1,3,8,7,4,6]=>[6,4,7,8,3,1,2,5]
[7,4,1,3,8,5,2,6]=>[6,2,5,8,3,1,4,7]
[7,5,1,3,8,4,2,6]=>[6,2,4,8,3,1,5,7]
[3,6,7,1,4,8,2,5]=>[5,2,8,4,1,7,6,3]
[7,6,1,4,8,3,2,5]=>[5,2,3,8,4,1,6,7]
[4,2,1,3,8,7,5,6]=>[6,5,7,8,3,1,2,4]
[2,6,1,4,7,8,3,5]=>[5,3,8,7,4,1,6,2]
[7,1,4,6,8,2,3,5]=>[5,3,2,8,6,4,1,7]
[7,1,3,5,8,2,4,6]=>[6,4,2,8,5,3,1,7]
[6,1,2,4,8,3,5,7]=>[7,5,3,8,4,2,1,6]
[5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]
[7,4,5,2,3,1,8,6]=>[6,8,1,3,2,5,4,7]
[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]
[7,3,5,2,4,1,8,6]=>[6,8,1,4,2,5,3,7]
[6,3,5,2,4,1,8,7]=>[7,8,1,4,2,5,3,6]
[5,2,4,1,6,3,8,7]=>[7,8,3,6,1,4,2,5]
[4,1,6,3,5,2,8,7]=>[7,8,2,5,3,6,1,4]
[6,3,4,1,5,2,8,7]=>[7,8,2,5,1,4,3,6]
[5,2,6,3,4,1,8,7]=>[7,8,1,4,3,6,2,5]
[5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]
[5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]
[6,2,8,5,7,3,4,1]=>[1,4,3,7,5,8,2,6]
[6,2,7,3,4,1,8,5]=>[5,8,1,4,3,7,2,6]
[7,3,4,1,5,2,8,6]=>[6,8,2,5,1,4,3,7]
[4,1,7,3,5,2,8,6]=>[6,8,2,5,3,7,1,4]
[3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]
[2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]
[3,1,8,6,7,4,5,2]=>[2,5,4,7,6,8,1,3]
[4,1,8,6,7,3,5,2]=>[2,5,3,7,6,8,1,4]
[8,6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6,8]
[8,5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5,8]
[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]
[8,4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4,8]
[5,1,8,4,7,3,6,2]=>[2,6,3,7,4,8,1,5]
[4,1,8,5,7,3,6,2]=>[2,6,3,7,5,8,1,4]
[3,1,8,5,7,4,6,2]=>[2,6,4,7,5,8,1,3]
[2,1,8,5,7,4,6,3]=>[3,6,4,7,5,8,1,2]
[2,1,7,4,6,3,8,5]=>[5,8,3,6,4,7,1,2]
[3,1,7,4,6,2,8,5]=>[5,8,2,6,4,7,1,3]
[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]
[5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]
[6,2,7,3,5,1,8,4]=>[4,8,1,5,3,7,2,6]
[6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]
[7,3,6,2,5,1,8,4]=>[4,8,1,5,2,6,3,7]
[6,2,5,1,7,3,8,4]=>[4,8,3,7,1,5,2,6]
[5,2,4,1,7,3,8,6]=>[6,8,3,7,1,4,2,5]
[6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]
[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]
[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]
[7,4,6,2,3,1,8,5]=>[5,8,1,3,2,6,4,7]
[6,2,3,1,7,4,8,5]=>[5,8,4,7,1,3,2,6]
[5,2,3,1,7,4,8,6]=>[6,8,4,7,1,3,2,5]
[4,2,3,1,7,5,8,6]=>[6,8,5,7,1,3,2,4]
[3,1,4,2,8,6,7,5]=>[5,7,6,8,2,4,1,3]
[6,2,3,1,8,5,7,4]=>[4,7,5,8,1,3,2,6]
[8,5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5,8]
[7,4,8,5,6,2,3,1]=>[1,3,2,6,5,8,4,7]
[7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7]
[8,5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5,8]
[5,2,4,1,8,6,7,3]=>[3,7,6,8,1,4,2,5]
[4,1,5,2,8,6,7,3]=>[3,7,6,8,2,5,1,4]
[3,1,5,2,8,6,7,4]=>[4,7,6,8,2,5,1,3]
[2,1,6,3,8,5,7,4]=>[4,7,5,8,3,6,1,2]
[3,1,6,2,8,5,7,4]=>[4,7,5,8,2,6,1,3]
[4,1,6,2,8,5,7,3]=>[3,7,5,8,2,6,1,4]
[5,1,6,2,8,4,7,3]=>[3,7,4,8,2,6,1,5]
[8,4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4,8]
[7,3,8,4,6,2,5,1]=>[1,5,2,6,4,8,3,7]
[6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]
[8,4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4,8]
[5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]
[4,1,8,5,6,2,7,3]=>[3,7,2,6,5,8,1,4]
[3,1,8,5,6,2,7,4]=>[4,7,2,6,5,8,1,3]
[2,1,8,5,6,3,7,4]=>[4,7,3,6,5,8,1,2]
[2,1,7,4,8,5,6,3]=>[3,6,5,8,4,7,1,2]
[3,1,7,4,8,5,6,2]=>[2,6,5,8,4,7,1,3]
[4,1,7,3,8,5,6,2]=>[2,6,5,8,3,7,1,4]
[7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]
[8,4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4,8]
[7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]
[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]
[7,8,1,3,6,2,5,4]=>[4,5,2,6,3,1,8,7]
[1,3,8,4,7,2,5,6]=>[6,5,2,7,4,8,3,1]
[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]
[4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]
[1,4,8,2,5,7,3,6]=>[6,3,7,5,2,8,4,1]
[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]
[7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]
[7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]
[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]
[7,8,1,4,2,3,6,5]=>[5,6,3,2,4,1,8,7]
[7,8,5,1,4,2,6,3]=>[3,6,2,4,1,5,8,7]
[7,8,4,5,3,1,6,2]=>[2,6,1,3,5,4,8,7]
[1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]
[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]
[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]
[1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]
[2,4,8,5,3,1,6,7]=>[7,6,1,3,5,8,4,2]
[2,5,8,1,4,7,6,3]=>[3,6,7,4,1,8,5,2]
[3,5,8,4,7,6,1,2]=>[2,1,6,7,4,8,5,3]
[1,6,2,4,7,3,8,5]=>[5,8,3,7,4,2,6,1]
[5,6,2,1,4,7,8,3]=>[3,8,7,4,1,2,6,5]
[4,6,2,5,3,1,8,7]=>[7,8,1,3,5,2,6,4]
[4,7,5,1,3,6,8,2]=>[2,8,6,3,1,5,7,4]
[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]
[5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]
[5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]
[6,1,7,5,2,4,8,3]=>[3,8,4,2,5,7,1,6]
[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]
[1,4,7,2,5,3,8,6]=>[6,8,3,5,2,7,4,1]
[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]
[3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]
[1,6,7,5,8,2,4,3]=>[3,4,2,8,5,7,6,1]
[3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]
[3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]
[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]
[2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]
[2,7,5,6,8,4,1,3]=>[3,1,4,8,6,5,7,2]
[2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]
[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]
[3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]
[4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]
[4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]
[3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]
[3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]
[3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]
[3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]
[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]
[1,7,3,8,5,2,6,4]=>[4,6,2,5,8,3,7,1]
[4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]
[5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]
[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]
[7,6,5,8,1,3,4,2]=>[2,4,3,1,8,5,6,7]
[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]
[7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]
[3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]
[2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]
[2,6,3,4,5,8,1,7]=>[7,1,8,5,4,3,6,2]
[2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]
[7,3,6,4,8,5,1,2]=>[2,1,5,8,4,6,3,7]
[7,2,1,4,8,3,5,6]=>[6,5,3,8,4,1,2,7]
[7,1,6,5,3,8,4,2]=>[2,4,8,3,5,6,1,7]
[7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]
[6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]
[5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]
[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]
[5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]
[6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]
[1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]
[6,1,5,2,8,3,4,7]=>[7,4,3,8,2,5,1,6]
[6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]
[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]
[7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]
[7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]
[7,5,6,4,1,2,8,3]=>[3,8,2,1,4,6,5,7]
[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]
[7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]
[7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]
[7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]
[6,8,1,4,2,5,7,3]=>[3,7,5,2,4,1,8,6]
[1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]
[1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]
[6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]
[7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]
[7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]
[7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]
[7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]
[7,2,3,5,4,1,6,8]=>[8,6,1,4,5,3,2,7]
[6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]
[1,5,7,2,3,8,6,4]=>[4,6,8,3,2,7,5,1]
[5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]
[5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]
[6,2,8,1,3,7,4,5]=>[5,4,7,3,1,8,2,6]
[6,8,2,3,5,4,7,1]=>[1,7,4,5,3,2,8,6]
[6,8,2,4,1,5,7,3]=>[3,7,5,1,4,2,8,6]
[6,8,3,1,2,4,7,5]=>[5,7,4,2,1,3,8,6]
[2,6,4,1,5,7,3,8]=>[8,3,7,5,1,4,6,2]
[2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]
[2,5,1,7,8,3,6,4]=>[4,6,3,8,7,1,5,2]
[2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]
[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]
[2,4,7,6,8,5,1,3]=>[3,1,5,8,6,7,4,2]
[2,5,3,7,6,1,8,4]=>[4,8,1,6,7,3,5,2]
[2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]
[3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]
[5,3,4,1,8,6,7,2]=>[2,7,6,8,1,4,3,5]
[5,2,8,4,6,1,7,3]=>[3,7,1,6,4,8,2,5]
[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]
[4,2,8,6,5,3,7,1]=>[1,7,3,5,6,8,2,4]
[4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]
[1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]
[4,1,8,6,7,5,3,2]=>[2,3,5,7,6,8,1,4]
[5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]
[5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]
[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]
[6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]
[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]
[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]
[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]
[5,1,3,8,6,7,2,4]=>[4,2,7,6,8,3,1,5]
[1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]
[1,5,7,6,4,2,8,3]=>[3,8,2,4,6,7,5,1]
[5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]
[6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]
[6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]
[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]
[6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]
[4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]
[4,5,1,2,6,8,7,3]=>[3,7,8,6,2,1,5,4]
[3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]
[3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]
[3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]
[4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]
[4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]
[4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]
[3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]
[3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]
[3,4,6,5,8,7,1,2]=>[2,1,7,8,5,6,4,3]
[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]
[3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]
[3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]
[4,2,5,6,1,8,7,3]=>[3,7,8,1,6,5,2,4]
[4,5,3,1,6,8,7,2]=>[2,7,8,6,1,3,5,4]
[2,1,7,5,8,6,4,3]=>[3,4,6,8,5,7,1,2]
[1,2,7,5,3,8,6,4]=>[4,6,8,3,5,7,2,1]
[4,1,2,7,3,8,6,5]=>[5,6,8,3,7,2,1,4]
[6,4,1,7,5,2,3,8]=>[8,3,2,5,7,1,4,6]
[6,1,3,7,5,2,4,8]=>[8,4,2,5,7,3,1,6]
[3,1,2,6,8,5,4,7]=>[7,4,5,8,6,2,1,3]
[3,7,1,2,5,4,8,6]=>[6,8,4,5,2,1,7,3]
[1,3,7,2,4,8,6,5]=>[5,6,8,4,2,7,3,1]
[2,4,1,7,8,6,5,3]=>[3,5,6,8,7,1,4,2]
[3,4,7,5,1,8,6,2]=>[2,6,8,1,5,7,4,3]
[2,7,4,1,5,8,6,3]=>[3,6,8,5,1,4,7,2]
[2,3,7,1,5,8,6,4]=>[4,6,8,5,1,7,3,2]
[5,2,8,1,3,7,4,6]=>[6,4,7,3,1,8,2,5]
[2,1,6,8,3,4,7,5]=>[5,7,4,3,8,6,1,2]
[2,6,8,3,1,5,7,4]=>[4,7,5,1,3,8,6,2]
[2,8,6,4,1,5,7,3]=>[3,7,5,1,4,6,8,2]
[3,6,4,8,5,1,7,2]=>[2,7,1,5,8,4,6,3]
[6,3,7,4,5,1,8,2]=>[2,8,1,5,4,7,3,6]
[2,6,3,7,5,8,1,4]=>[4,1,8,5,7,3,6,2]
[5,2,1,7,8,3,4,6]=>[6,4,3,8,7,1,2,5]
[4,7,2,3,6,8,1,5]=>[5,1,8,6,3,2,7,4]
[5,2,7,3,6,8,1,4]=>[4,1,8,6,3,7,2,5]
[5,7,4,6,2,8,1,3]=>[3,1,8,2,6,4,7,5]
[5,7,3,4,6,1,8,2]=>[2,8,1,6,4,3,7,5]
[5,3,8,4,6,1,7,2]=>[2,7,1,6,4,8,3,5]
[8,5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5,8]
[8,2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2,8]
[4,2,8,3,6,7,1,5]=>[5,1,7,6,3,8,2,4]
[2,4,8,1,7,3,5,6]=>[6,5,3,7,1,8,4,2]
[8,4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4,8]
[4,8,3,1,7,2,5,6]=>[6,5,2,7,1,3,8,4]
[5,2,8,4,7,1,6,3]=>[3,6,1,7,4,8,2,5]
[5,8,4,7,3,1,6,2]=>[2,6,1,3,7,4,8,5]
[4,6,8,3,1,7,5,2]=>[2,5,7,1,3,8,6,4]
[6,3,8,2,7,1,5,4]=>[4,5,1,7,2,8,3,6]
[6,3,1,8,2,4,7,5]=>[5,7,4,2,8,1,3,6]
[5,3,8,1,2,6,4,7]=>[7,4,6,2,1,8,3,5]
[5,7,4,1,6,2,3,8]=>[8,3,2,6,1,4,7,5]
[8,5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5,8]
[5,1,8,4,2,7,3,6]=>[6,3,7,2,4,8,1,5]
[1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]
[6,8,5,3,1,7,4,2]=>[2,4,7,1,3,5,8,6]
[8,4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4,8]
[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]
[1,6,3,7,2,8,4,5]=>[5,4,8,2,7,3,6,1]
[6,3,2,7,8,5,1,4]=>[4,1,5,8,7,2,3,6]
[4,5,7,8,3,1,6,2]=>[2,6,1,3,8,7,5,4]
[4,7,2,5,8,1,6,3]=>[3,6,1,8,5,2,7,4]
[8,1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1,8]
[3,8,2,4,6,7,1,5]=>[5,1,7,6,4,2,8,3]
[3,5,6,8,2,7,1,4]=>[4,1,7,2,8,6,5,3]
[2,4,5,6,8,1,7,3]=>[3,7,1,8,6,5,4,2]
[4,8,3,5,6,1,7,2]=>[2,7,1,6,5,3,8,4]
[5,6,2,3,7,8,1,4]=>[4,1,8,7,3,2,6,5]
[5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]
[6,8,7,3,4,1,2,5]=>[5,2,1,4,3,7,8,6]
[6,8,4,7,1,5,3,2]=>[2,3,5,1,7,4,8,6]
[6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]
[5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]
[5,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,5]
[5,3,8,7,6,1,2,4]=>[4,2,1,6,7,8,3,5]
[4,3,8,7,6,1,2,5]=>[5,2,1,6,7,8,3,4]
[4,8,3,7,5,1,2,6]=>[6,2,1,5,7,3,8,4]
[8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]
[3,8,4,7,5,1,2,6]=>[6,2,1,5,7,4,8,3]
[3,4,8,7,6,1,2,5]=>[5,2,1,6,7,8,4,3]
[3,5,8,7,6,1,2,4]=>[4,2,1,6,7,8,5,3]
[4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]
[4,5,8,7,1,6,3,2]=>[2,3,6,1,7,8,5,4]
[4,5,8,7,2,6,3,1]=>[1,3,6,2,7,8,5,4]
[3,5,8,2,7,6,4,1]=>[1,4,6,7,2,8,5,3]
[3,5,8,1,7,6,4,2]=>[2,4,6,7,1,8,5,3]
[2,5,8,1,7,6,4,3]=>[3,4,6,7,1,8,5,2]
[2,5,8,7,1,6,3,4]=>[4,3,6,1,7,8,5,2]
[2,4,8,7,1,6,3,5]=>[5,3,6,1,7,8,4,2]
[2,8,4,7,1,5,3,6]=>[6,3,5,1,7,4,8,2]
[8,2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2,8]
[8,1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1,8]
[1,8,4,7,2,5,3,6]=>[6,3,5,2,7,4,8,1]
[1,4,8,7,2,6,3,5]=>[5,3,6,2,7,8,4,1]
[1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]
[1,5,8,2,7,6,4,3]=>[3,4,6,7,2,8,5,1]
[2,5,8,3,7,6,4,1]=>[1,4,6,7,3,8,5,2]
[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]
[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]
[1,8,3,2,7,5,4,6]=>[6,4,5,7,2,3,8,1]
[8,1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1,8]
[8,2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2,8]
[2,8,3,1,7,5,4,6]=>[6,4,5,7,1,3,8,2]
[2,3,8,1,7,6,4,5]=>[5,4,6,7,1,8,3,2]
[3,4,1,8,7,6,5,2]=>[2,5,6,7,8,1,4,3]
[4,3,1,8,7,6,5,2]=>[2,5,6,7,8,1,3,4]
[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]
[3,8,2,1,7,5,4,6]=>[6,4,5,7,1,2,8,3]
[8,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,8]
[8,4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4,8]
[4,2,8,7,1,6,3,5]=>[5,3,6,1,7,8,2,4]
[5,2,8,7,1,6,3,4]=>[4,3,6,1,7,8,2,5]
[5,2,8,1,7,6,4,3]=>[3,4,6,7,1,8,2,5]
[5,3,8,1,7,6,4,2]=>[2,4,6,7,1,8,3,5]
[5,3,8,2,7,6,4,1]=>[1,4,6,7,2,8,3,5]
[6,8,3,2,7,5,4,1]=>[1,4,5,7,2,3,8,6]
[6,8,3,1,7,5,4,2]=>[2,4,5,7,1,3,8,6]
[6,8,2,1,7,5,4,3]=>[3,4,5,7,1,2,8,6]
[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]
[6,8,7,2,1,4,3,5]=>[5,3,4,1,2,7,8,6]
[8,5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5,8]
[5,8,7,1,2,4,3,6]=>[6,3,4,2,1,7,8,5]
[6,8,1,2,7,5,4,3]=>[3,4,5,7,2,1,8,6]
[6,8,2,3,7,5,4,1]=>[1,4,5,7,3,2,8,6]
[5,2,8,3,7,6,4,1]=>[1,4,6,7,3,8,2,5]
[5,1,8,3,7,6,4,2]=>[2,4,6,7,3,8,1,5]
[5,1,8,7,2,6,3,4]=>[4,3,6,2,7,8,1,5]
[4,1,8,7,2,6,3,5]=>[5,3,6,2,7,8,1,4]
[4,8,1,7,2,5,3,6]=>[6,3,5,2,7,1,8,4]
[8,4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4,8]
[8,3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3,8]
[3,8,1,2,7,5,4,6]=>[6,4,5,7,2,1,8,3]
[3,1,8,2,7,6,4,5]=>[5,4,6,7,2,8,1,3]
[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]
[4,1,3,8,7,6,5,2]=>[2,5,6,7,8,3,1,4]
[3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]
[2,1,8,3,7,6,4,5]=>[5,4,6,7,3,8,1,2]
[2,8,1,3,7,5,4,6]=>[6,4,5,7,3,1,8,2]
[8,2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2,8]
[8,1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1,8]
[1,8,2,3,7,5,4,6]=>[6,4,5,7,3,2,8,1]
[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]
[1,4,3,6,8,2,5,7]=>[7,5,2,8,6,3,4,1]
[3,1,6,2,5,8,4,7]=>[7,4,8,5,2,6,1,3]
[3,5,1,8,2,4,7,6]=>[6,7,4,2,8,1,5,3]
[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]
[1,4,2,6,5,8,3,7]=>[7,3,8,5,6,2,4,1]
[1,5,4,2,6,8,3,7]=>[7,3,8,6,2,4,5,1]
[3,1,6,5,8,2,4,7]=>[7,4,2,8,5,6,1,3]
[1,6,4,2,5,8,3,7]=>[7,3,8,5,2,4,6,1]
[1,5,2,6,4,8,3,7]=>[7,3,8,4,6,2,5,1]
[1,2,6,5,4,8,3,7]=>[7,3,8,4,5,6,2,1]
[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]
[4,1,2,6,3,8,7,5]=>[5,7,8,3,6,2,1,4]
[7,1,5,4,2,8,3,6]=>[6,3,8,2,4,5,1,7]
[1,4,7,5,2,8,3,6]=>[6,3,8,2,5,7,4,1]
[7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]
[7,2,5,1,8,3,4,6]=>[6,4,3,8,1,5,2,7]
[1,4,5,2,8,7,3,6]=>[6,3,7,8,2,5,4,1]
[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]
[1,4,2,8,3,7,6,5]=>[5,6,7,3,8,2,4,1]
[1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]
[1,2,8,6,5,3,7,4]=>[4,7,3,5,6,8,2,1]
[1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1]
[1,6,4,2,8,7,3,5]=>[5,3,7,8,2,4,6,1]
[6,2,1,8,7,3,4,5]=>[5,4,3,7,8,1,2,6]
[7,6,2,1,8,3,4,5]=>[5,4,3,8,1,2,6,7]
[7,3,1,6,2,8,4,5]=>[5,4,8,2,6,1,3,7]
[1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]
[1,7,5,2,6,3,8,4]=>[4,8,3,6,2,5,7,1]
[1,6,2,7,5,3,8,4]=>[4,8,3,5,7,2,6,1]
[1,2,7,6,5,3,8,4]=>[4,8,3,5,6,7,2,1]
[1,2,6,5,3,8,7,4]=>[4,7,8,3,5,6,2,1]
[1,5,2,6,3,8,7,4]=>[4,7,8,3,6,2,5,1]
[1,5,2,7,6,3,8,4]=>[4,8,3,6,7,2,5,1]
[1,6,5,2,7,3,8,4]=>[4,8,3,7,2,5,6,1]
[1,5,7,4,2,8,3,6]=>[6,3,8,2,4,7,5,1]
[4,1,2,8,6,3,7,5]=>[5,7,3,6,8,2,1,4]
[3,1,8,6,2,4,7,5]=>[5,7,4,2,6,8,1,3]
[4,3,7,1,8,2,5,6]=>[6,5,2,8,1,7,3,4]
[8,3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3,8]
[7,1,8,3,2,4,6,5]=>[5,6,4,2,3,8,1,7]
[1,8,7,3,2,4,6,5]=>[5,6,4,2,3,7,8,1]
[1,4,2,8,7,3,6,5]=>[5,6,3,7,8,2,4,1]
[1,7,4,2,8,3,6,5]=>[5,6,3,8,2,4,7,1]
[8,1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1,8]
[1,4,8,5,2,7,3,6]=>[6,3,7,2,5,8,4,1]
[8,5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5,8]
[8,6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6,8]
[1,8,6,4,2,7,3,5]=>[5,3,7,2,4,6,8,1]
[1,8,5,2,6,3,7,4]=>[4,7,3,6,2,5,8,1]
[1,5,2,7,3,8,6,4]=>[4,6,8,3,7,2,5,1]
[1,2,8,5,3,7,6,4]=>[4,6,7,3,5,8,2,1]
[1,2,6,3,8,7,5,4]=>[4,5,7,8,3,6,2,1]
[1,2,7,6,3,8,5,4]=>[4,5,8,3,6,7,2,1]
[1,6,2,7,3,8,5,4]=>[4,5,8,3,7,2,6,1]
[1,7,2,8,5,3,6,4]=>[4,6,3,5,8,2,7,1]
[1,7,4,2,8,6,3,5]=>[5,3,6,8,2,4,7,1]
[7,1,8,3,2,6,4,5]=>[5,4,6,2,3,8,1,7]
[7,2,1,8,6,3,4,5]=>[5,4,3,6,8,1,2,7]
[1,8,7,3,2,6,4,5]=>[5,4,6,2,3,7,8,1]
[1,4,2,8,7,6,3,5]=>[5,3,6,7,8,2,4,1]
[1,2,8,7,5,3,6,4]=>[4,6,3,5,7,8,2,1]
[1,2,8,6,3,7,5,4]=>[4,5,7,3,6,8,2,1]
[1,2,7,3,8,6,5,4]=>[4,5,6,8,3,7,2,1]
[4,1,7,3,6,5,8,2]=>[2,8,5,6,3,7,1,4]
[5,1,8,7,6,2,4,3]=>[3,4,2,6,7,8,1,5]
[8,1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1,8]
[5,7,8,6,2,4,1,3]=>[3,1,4,2,6,8,7,5]
[5,7,1,6,2,4,3,8]=>[8,3,4,2,6,1,7,5]
[6,4,1,5,2,7,3,8]=>[8,3,7,2,5,1,4,6]
[8,1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1,8]
[6,1,4,5,3,8,7,2]=>[2,7,8,3,5,4,1,6]
[6,1,4,5,3,7,8,2]=>[2,8,7,3,5,4,1,6]
[5,1,7,8,6,2,4,3]=>[3,4,2,6,8,7,1,5]
[6,1,4,8,3,5,7,2]=>[2,7,5,3,8,4,1,6]
[7,1,8,6,3,4,5,2]=>[2,5,4,3,6,8,1,7]
[7,1,4,5,3,8,6,2]=>[2,6,8,3,5,4,1,7]
[7,1,4,5,3,6,8,2]=>[2,8,6,3,5,4,1,7]
[8,1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1,8]
[7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]
[6,3,5,7,2,1,4,8]=>[8,4,1,2,7,5,3,6]
[6,3,5,8,2,1,7,4]=>[4,7,1,2,8,5,3,6]
[6,3,5,7,2,1,8,4]=>[4,8,1,2,7,5,3,6]
[8,4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4,8]
[6,4,5,8,3,7,2,1]=>[1,2,7,3,8,5,4,6]
[5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]
[5,4,8,6,3,1,7,2]=>[2,7,1,3,6,8,4,5]
[5,4,1,8,2,3,7,6]=>[6,7,3,2,8,1,4,5]
[5,8,1,6,2,4,3,7]=>[7,3,4,2,6,1,8,5]
[8,4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4,8]
[6,3,5,8,2,1,4,7]=>[7,4,1,2,8,5,3,6]
[2,3,4,1,8,6,5,7]=>[7,5,6,8,1,4,3,2]
[8,3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3,8]
[2,3,8,5,1,4,7,6]=>[6,7,4,1,5,8,3,2]
[2,3,8,6,1,5,7,4]=>[4,7,5,1,6,8,3,2]
[2,8,6,7,1,3,5,4]=>[4,5,3,1,7,6,8,2]
[8,3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3,8]
[2,3,8,5,6,1,7,4]=>[4,7,1,6,5,8,3,2]
[7,4,5,6,3,1,8,2]=>[2,8,1,3,6,5,4,7]
[8,4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4,8]
[7,3,5,6,2,8,1,4]=>[4,1,8,2,6,5,3,7]
[7,3,5,8,2,1,6,4]=>[4,6,1,2,8,5,3,7]
[7,3,5,6,2,1,4,8]=>[8,4,1,2,6,5,3,7]
[2,7,6,5,1,3,4,8]=>[8,4,3,1,5,6,7,2]
[2,7,6,8,1,3,5,4]=>[4,5,3,1,8,6,7,2]
[2,7,6,5,8,3,1,4]=>[4,1,3,8,5,6,7,2]
[8,7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7,8]
[2,6,4,1,8,5,7,3]=>[3,7,5,8,1,4,6,2]
[2,6,1,3,8,5,7,4]=>[4,7,5,8,3,1,6,2]
[2,7,1,3,6,5,8,4]=>[4,8,5,6,3,1,7,2]
[2,7,6,8,4,3,1,5]=>[5,1,3,4,8,6,7,2]
[2,7,6,1,8,3,4,5]=>[5,4,3,8,1,6,7,2]
[2,7,6,1,4,3,5,8]=>[8,5,3,4,1,6,7,2]
[7,3,5,1,2,8,4,6]=>[6,4,8,2,1,5,3,7]
[8,4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4,8]
[7,8,1,6,3,4,2,5]=>[5,2,4,3,6,1,8,7]
[6,4,1,8,3,2,7,5]=>[5,7,2,3,8,1,4,6]
[2,3,8,6,4,1,7,5]=>[5,7,1,4,6,8,3,2]
[2,8,6,7,4,3,1,5]=>[5,1,3,4,7,6,8,2]
[8,3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3,8]
[2,3,4,1,8,7,5,6]=>[6,5,7,8,1,4,3,2]
[2,8,6,1,7,3,4,5]=>[5,4,3,7,1,6,8,2]
[2,3,8,1,6,4,7,5]=>[5,7,4,6,1,8,3,2]
[2,3,8,1,4,5,7,6]=>[6,7,5,4,1,8,3,2]
[2,8,6,1,4,3,5,7]=>[7,5,3,4,1,6,8,2]
[8,4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4,8]
[8,5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5,8]
[8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]
[1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]
[1,8,6,5,2,7,3,4]=>[4,3,7,2,5,6,8,1]
[8,7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7,8]
[7,8,5,4,1,3,6,2]=>[2,6,3,1,4,5,8,7]
[6,8,5,4,2,1,7,3]=>[3,7,1,2,4,5,8,6]
[5,8,6,2,4,1,7,3]=>[3,7,1,4,2,6,8,5]
[4,8,2,6,5,1,7,3]=>[3,7,1,5,6,2,8,4]
[3,2,8,6,5,1,7,4]=>[4,7,1,5,6,8,2,3]
[3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]
[4,1,3,7,6,2,5,8]=>[8,5,2,6,7,3,1,4]
[5,1,7,3,6,2,4,8]=>[8,4,2,6,3,7,1,5]
[6,1,7,5,3,2,4,8]=>[8,4,2,3,5,7,1,6]
[7,1,6,5,2,4,3,8]=>[8,3,4,2,5,6,1,7]
[8,1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1,8]
[1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1]
[1,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,1]
[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]
[7,1,8,2,6,4,3,5]=>[5,3,4,6,2,8,1,7]
[6,1,8,2,4,7,3,5]=>[5,3,7,4,2,8,1,6]
[5,1,8,3,2,7,4,6]=>[6,4,7,2,3,8,1,5]
[4,1,3,8,2,7,5,6]=>[6,5,7,2,8,3,1,4]
[3,2,1,8,4,7,5,6]=>[6,5,7,4,8,1,2,3]
[3,2,8,7,1,6,5,4]=>[4,5,6,1,7,8,2,3]
[4,8,2,7,1,6,5,3]=>[3,5,6,1,7,2,8,4]
[5,8,7,2,1,6,4,3]=>[3,4,6,1,2,7,8,5]
[6,8,7,1,3,5,4,2]=>[2,4,5,3,1,7,8,6]
[7,8,6,1,5,3,4,2]=>[2,4,3,5,1,6,8,7]
[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]
[1,8,7,2,6,5,3,4]=>[4,3,5,6,2,7,8,1]
[1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]
[8,6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6,8]
[7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]
[6,5,8,3,2,1,7,4]=>[4,7,1,2,3,8,5,6]
[7,5,8,3,1,4,6,2]=>[2,6,4,1,3,8,5,7]
[8,5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5,8]
[1,6,8,4,2,7,3,5]=>[5,3,7,2,4,8,6,1]
[1,5,4,8,2,7,3,6]=>[6,3,7,2,8,4,5,1]
[8,4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4,8]
[7,4,3,8,1,5,6,2]=>[2,6,5,1,8,3,4,7]
[6,4,3,1,5,2,7,8]=>[8,7,2,5,1,3,4,6]
[7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]
[8,4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4,8]
[1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]
[8,5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5,8]
[7,5,1,4,2,6,3,8]=>[8,3,6,2,4,1,5,7]
[6,5,1,4,3,2,7,8]=>[8,7,2,3,4,1,5,6]
[5,6,1,3,4,2,7,8]=>[8,7,2,4,3,1,6,5]
[4,6,2,1,5,3,7,8]=>[8,7,3,5,1,2,6,4]
[3,2,6,1,5,4,7,8]=>[8,7,4,5,1,6,2,3]
[3,2,7,1,4,6,5,8]=>[8,5,6,4,1,7,2,3]
[4,7,2,1,3,6,5,8]=>[8,5,6,3,1,2,7,4]
[5,7,1,3,2,6,4,8]=>[8,4,6,2,3,1,7,5]
[6,7,1,2,4,5,3,8]=>[8,3,5,4,2,1,7,6]
[7,6,1,2,5,4,3,8]=>[8,3,4,5,2,1,6,7]
[8,6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6,8]
[1,7,2,3,6,4,5,8]=>[8,5,4,6,3,2,7,1]
[8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]
[7,8,1,2,3,5,6,4]=>[4,6,5,3,2,1,8,7]
[6,8,1,2,4,3,7,5]=>[5,7,3,4,2,1,8,6]
[5,8,1,3,2,4,7,6]=>[6,7,4,2,3,1,8,5]
[4,8,2,1,3,5,7,6]=>[6,7,5,3,1,2,8,4]
[3,2,8,1,4,5,7,6]=>[6,7,5,4,1,8,2,3]
[4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]
[5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]
[6,1,2,3,5,4,7,8]=>[8,7,4,5,3,2,1,6]
[7,1,2,3,4,6,5,8]=>[8,5,6,4,3,2,1,7]
[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]
[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]
[6,7,4,5,1,8,3,2]=>[2,3,8,1,5,4,7,6]
[5,4,7,6,8,1,2,3]=>[3,2,1,8,6,7,4,5]
[5,3,7,8,6,1,2,4]=>[4,2,1,6,8,7,3,5]
[3,8,4,5,7,1,2,6]=>[6,2,1,7,5,4,8,3]
[3,4,8,6,7,1,2,5]=>[5,2,1,7,6,8,4,3]
[4,5,6,7,1,8,3,2]=>[2,3,8,1,7,6,5,4]
[3,5,6,2,7,4,8,1]=>[1,8,4,7,2,6,5,3]
[3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]
[2,5,6,1,8,7,4,3]=>[3,4,7,8,1,6,5,2]
[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]
[8,2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2,8]
[1,4,8,6,2,3,7,5]=>[5,7,3,2,6,8,4,1]
[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]
[1,5,6,2,8,4,7,3]=>[3,7,4,8,2,6,5,1]
[2,5,6,3,4,7,8,1]=>[1,8,7,4,3,6,5,2]
[1,4,2,6,8,5,7,3]=>[3,7,5,8,6,2,4,1]
[8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]
[8,2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2,8]
[2,8,3,1,5,7,4,6]=>[6,4,7,5,1,3,8,2]
[2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]
[3,4,1,6,7,8,5,2]=>[2,5,8,7,6,1,4,3]
[4,3,1,7,6,8,5,2]=>[2,5,8,6,7,1,3,4]
[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]
[5,3,7,2,6,4,8,1]=>[1,8,4,6,2,7,3,5]
[6,7,3,1,5,8,4,2]=>[2,4,8,5,1,3,7,6]
[6,7,2,1,8,5,4,3]=>[3,4,5,8,1,2,7,6]
[6,7,2,8,1,5,3,4]=>[4,3,5,1,8,2,7,6]
[6,7,8,2,1,4,3,5]=>[5,3,4,1,2,8,7,6]
[6,7,1,2,8,4,5,3]=>[3,5,4,8,2,1,7,6]
[6,7,1,3,4,8,5,2]=>[2,5,8,4,3,1,7,6]
[5,2,7,3,4,6,8,1]=>[1,8,6,4,3,7,2,5]
[5,1,7,3,4,8,6,2]=>[2,6,8,4,3,7,1,5]
[5,1,7,8,2,3,6,4]=>[4,6,3,2,8,7,1,5]
[4,1,8,7,2,3,6,5]=>[5,6,3,2,7,8,1,4]
[3,8,1,2,7,4,5,6]=>[6,5,4,7,2,1,8,3]
[4,1,3,7,5,8,6,2]=>[2,6,8,5,7,3,1,4]
[3,1,4,5,7,8,6,2]=>[2,6,8,7,5,4,1,3]
[2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]
[8,2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2,8]
[1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]
[1,2,8,3,4,6,7,5]=>[5,7,6,4,3,8,2,1]
[4,2,1,6,5,8,7,3]=>[3,7,8,5,6,1,2,4]
[5,2,6,4,1,8,7,3]=>[3,7,8,1,4,6,2,5]
[5,2,7,4,8,1,6,3]=>[3,6,1,8,4,7,2,5]
[5,2,7,4,8,6,1,3]=>[3,1,6,8,4,7,2,5]
[5,7,2,3,8,6,1,4]=>[4,1,6,8,3,2,7,5]
[5,7,2,3,8,1,6,4]=>[4,6,1,8,3,2,7,5]
[5,6,2,3,1,8,7,4]=>[4,7,8,1,3,2,6,5]
[5,6,2,1,3,8,7,4]=>[4,7,8,3,1,2,6,5]
[5,1,6,4,2,8,7,3]=>[3,7,8,2,4,6,1,5]
[5,6,1,3,2,8,7,4]=>[4,7,8,2,3,1,6,5]
[5,6,3,1,2,8,7,4]=>[4,7,8,2,1,3,6,5]
[5,6,3,2,1,8,7,4]=>[4,7,8,1,2,3,6,5]
[5,7,3,2,8,1,6,4]=>[4,6,1,8,2,3,7,5]
[5,7,3,2,8,6,1,4]=>[4,1,6,8,2,3,7,5]
[6,7,3,8,2,1,5,4]=>[4,5,1,2,8,3,7,6]
[6,7,3,8,1,2,5,4]=>[4,5,2,1,8,3,7,6]
[5,7,3,1,8,2,6,4]=>[4,6,2,8,1,3,7,5]
[5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]
[5,1,7,4,8,2,6,3]=>[3,6,2,8,4,7,1,5]
[1,5,7,4,8,3,6,2]=>[2,6,3,8,4,7,5,1]
[1,5,7,4,8,6,3,2]=>[2,3,6,8,4,7,5,1]
[5,1,7,4,8,6,2,3]=>[3,2,6,8,4,7,1,5]
[5,7,1,3,8,6,2,4]=>[4,2,6,8,3,1,7,5]
[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]
[6,7,3,8,1,5,2,4]=>[4,2,5,1,8,3,7,6]
[6,7,3,8,5,2,1,4]=>[4,1,2,5,8,3,7,6]
[6,7,8,3,1,4,2,5]=>[5,2,4,1,3,8,7,6]
[6,7,1,8,3,5,2,4]=>[4,2,5,3,8,1,7,6]
[6,1,7,8,4,5,2,3]=>[3,2,5,4,8,7,1,6]
[1,6,7,8,4,5,3,2]=>[2,3,5,4,8,7,6,1]
[1,6,7,8,4,3,5,2]=>[2,5,3,4,8,7,6,1]
[6,1,7,8,4,2,5,3]=>[3,5,2,4,8,7,1,6]
[6,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,6]
[5,7,2,1,8,3,6,4]=>[4,6,3,8,1,2,7,5]
[6,7,2,8,1,3,5,4]=>[4,5,3,1,8,2,7,6]
[6,7,2,8,3,1,5,4]=>[4,5,1,3,8,2,7,6]
[6,7,2,8,3,5,1,4]=>[4,1,5,3,8,2,7,6]
[6,2,7,8,4,5,1,3]=>[3,1,5,4,8,7,2,6]
[6,2,7,8,4,1,5,3]=>[3,5,1,4,8,7,2,6]
[6,2,7,8,1,4,5,3]=>[3,5,4,1,8,7,2,6]
[5,2,7,1,8,4,6,3]=>[3,6,4,8,1,7,2,5]
[4,2,1,7,8,5,6,3]=>[3,6,5,8,7,1,2,4]
[4,1,2,7,8,6,5,3]=>[3,5,6,8,7,2,1,4]
[6,2,7,8,1,5,4,3]=>[3,4,5,1,8,7,2,6]
[6,2,7,8,5,1,4,3]=>[3,4,1,5,8,7,2,6]
[6,2,7,8,5,4,1,3]=>[3,1,4,5,8,7,2,6]
[6,7,2,8,5,3,1,4]=>[4,1,3,5,8,2,7,6]
[5,7,2,1,8,6,3,4]=>[4,3,6,8,1,2,7,5]
[5,7,1,2,8,6,3,4]=>[4,3,6,8,2,1,7,5]
[5,1,7,2,8,6,4,3]=>[3,4,6,8,2,7,1,5]
[1,5,7,3,8,6,4,2]=>[2,4,6,8,3,7,5,1]
[1,6,7,8,3,5,4,2]=>[2,4,5,3,8,7,6,1]
[6,1,7,8,2,5,4,3]=>[3,4,5,2,8,7,1,6]
[6,7,1,8,2,5,3,4]=>[4,3,5,2,8,1,7,6]
[6,7,8,2,4,1,3,5]=>[5,3,1,4,2,8,7,6]
[6,7,8,2,4,3,1,5]=>[5,1,3,4,2,8,7,6]
[6,7,1,8,5,2,3,4]=>[4,3,2,5,8,1,7,6]
[6,1,7,8,5,2,4,3]=>[3,4,2,5,8,7,1,6]
[1,6,7,8,5,3,4,2]=>[2,4,3,5,8,7,6,1]
[6,1,7,8,5,4,2,3]=>[3,2,4,5,8,7,1,6]
[6,7,1,8,5,3,2,4]=>[4,2,3,5,8,1,7,6]
[6,7,8,4,1,3,2,5]=>[5,2,3,1,4,8,7,6]
[6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6]
[6,5,2,8,4,7,3,1]=>[1,3,7,4,8,2,5,6]
[6,3,4,5,8,7,2,1]=>[1,2,7,8,5,4,3,6]
[3,8,4,7,5,2,1,6]=>[6,1,2,5,7,4,8,3]
[5,8,1,4,7,2,3,6]=>[6,3,2,7,4,1,8,5]
[5,6,1,4,8,7,3,2]=>[2,3,7,8,4,1,6,5]
[3,6,4,8,5,7,1,2]=>[2,1,7,5,8,4,6,3]
[5,1,4,8,6,3,7,2]=>[2,7,3,6,8,4,1,5]
[3,4,7,1,8,6,5,2]=>[2,5,6,8,1,7,4,3]
[6,3,8,4,2,7,1,5]=>[5,1,7,2,4,8,3,6]
[3,6,8,7,1,4,2,5]=>[5,2,4,1,7,8,6,3]
[5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]
[4,3,8,5,6,7,2,1]=>[1,2,7,6,5,8,3,4]
[5,8,1,7,6,2,4,3]=>[3,4,2,6,7,1,8,5]
[4,6,1,2,7,8,5,3]=>[3,5,8,7,2,1,6,4]
[3,6,4,2,8,7,5,1]=>[1,5,7,8,2,4,6,3]
[6,3,7,5,2,8,1,4]=>[4,1,8,2,5,7,3,6]
[6,5,2,7,4,8,1,3]=>[3,1,8,4,7,2,5,6]
[5,7,1,4,8,3,2,6]=>[6,2,3,8,4,1,7,5]
[7,8,3,5,1,4,6,2]=>[2,6,4,1,5,3,8,7]
[5,8,1,4,6,7,2,3]=>[3,2,7,6,4,1,8,5]
[6,5,8,4,3,7,2,1]=>[1,2,7,3,4,8,5,6]
[6,3,7,4,2,8,5,1]=>[1,5,8,2,4,7,3,6]
[8,7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7,8]
[3,8,6,7,1,4,5,2]=>[2,5,4,1,7,6,8,3]
[5,3,8,7,4,1,2,6]=>[6,2,1,4,7,8,3,5]
[4,3,8,7,1,5,6,2]=>[2,6,5,1,7,8,3,4]
[8,3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3,8]
[5,6,1,8,7,3,2,4]=>[4,2,3,7,8,1,6,5]
[5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]
[7,5,3,6,4,2,8,1]=>[1,8,2,4,6,3,5,7]
[6,4,1,5,3,8,2,7]=>[7,2,8,3,5,1,4,6]
[8,5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5,8]
[8,2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2,8]
[7,2,6,3,5,4,8,1]=>[1,8,4,5,3,6,2,7]
[6,2,7,4,3,5,8,1]=>[1,8,5,3,4,7,2,6]
[5,7,3,6,4,2,8,1]=>[1,8,2,4,6,3,7,5]
[3,7,6,4,5,2,8,1]=>[1,8,2,5,4,6,7,3]
[2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]
[6,5,4,3,1,8,2,7]=>[7,2,8,1,3,4,5,6]
[8,6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6,8]
[8,5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5,8]
[7,5,4,1,8,3,2,6]=>[6,2,3,8,1,4,5,7]
[1,6,5,2,8,3,4,7]=>[7,4,3,8,2,5,6,1]
[5,7,4,2,1,8,3,6]=>[6,3,8,1,2,4,7,5]
[1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]
[5,4,6,3,1,8,2,7]=>[7,2,8,1,3,6,4,5]
[6,5,8,4,2,7,3,1]=>[1,3,7,2,4,8,5,6]
[5,8,2,6,4,7,3,1]=>[1,3,7,4,6,2,8,5]
[3,8,6,2,5,7,4,1]=>[1,4,7,5,2,6,8,3]
[7,8,5,3,2,6,4,1]=>[1,4,6,2,3,5,8,7]
[6,8,3,1,7,2,5,4]=>[4,5,2,7,1,3,8,6]
[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]
[8,7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7,8]
[8,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,8]
[7,8,1,6,3,2,5,4]=>[4,5,2,3,6,1,8,7]
[2,8,1,7,3,5,6,4]=>[4,6,5,3,7,1,8,2]
[3,8,6,1,7,4,5,2]=>[2,5,4,7,1,6,8,3]
[4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]
[4,2,8,5,7,3,6,1]=>[1,6,3,7,5,8,2,4]
[5,1,7,6,8,3,2,4]=>[4,2,3,8,6,7,1,5]
[3,7,1,5,8,4,2,6]=>[6,2,4,8,5,1,7,3]
[6,7,3,1,8,4,2,5]=>[5,2,4,8,1,3,7,6]
[1,7,3,8,4,5,2,6]=>[6,2,5,4,8,3,7,1]
[1,7,2,8,5,3,4,6]=>[6,4,3,5,8,2,7,1]
[7,6,1,8,4,3,2,5]=>[5,2,3,4,8,1,6,7]
[8,6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6,8]
[8,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,8]
[7,1,2,8,3,5,4,6]=>[6,4,5,3,8,2,1,7]
[7,2,6,1,8,4,3,5]=>[5,3,4,8,1,6,2,7]
[8,2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2,8]
[8,3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3,8]
[7,3,1,5,8,4,2,6]=>[6,2,4,8,5,1,3,7]
[4,2,1,5,8,3,6,7]=>[7,6,3,8,5,1,2,4]
[5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]
[5,4,3,1,6,8,2,7]=>[7,2,8,6,1,3,4,5]
[4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]
[6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]
[6,5,2,8,7,3,4,1]=>[1,4,3,7,8,2,5,6]
[6,5,1,8,7,4,2,3]=>[3,2,4,7,8,1,5,6]
[8,6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6,8]
[5,1,8,3,7,6,2,4]=>[4,2,6,7,3,8,1,5]
[5,4,8,1,7,2,6,3]=>[3,6,2,7,1,8,4,5]
[7,5,8,3,2,6,4,1]=>[1,4,6,2,3,8,5,7]
[3,6,8,2,4,7,5,1]=>[1,5,7,4,2,8,6,3]
[5,7,3,8,2,6,4,1]=>[1,4,6,2,8,3,7,5]
[5,4,6,8,2,7,3,1]=>[1,3,7,2,8,6,4,5]
[5,2,6,8,7,3,4,1]=>[1,4,3,7,8,6,2,5]
[4,7,2,8,6,3,5,1]=>[1,5,3,6,8,2,7,4]
[3,6,8,1,7,2,5,4]=>[4,5,2,7,1,8,6,3]
[2,3,8,7,4,5,6,1]=>[1,6,5,4,7,8,3,2]
[7,2,8,6,4,3,5,1]=>[1,5,3,4,6,8,2,7]
[2,1,8,7,5,6,3,4]=>[4,3,6,5,7,8,1,2]
[8,2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2,8]
[8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]
[7,1,8,6,5,3,2,4]=>[4,2,3,5,6,8,1,7]
[1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]
[1,3,8,7,4,6,2,5]=>[5,2,6,4,7,8,3,1]
[1,5,8,3,7,6,2,4]=>[4,2,6,7,3,8,5,1]
[5,1,6,8,7,4,2,3]=>[3,2,4,7,8,6,1,5]
[6,8,4,7,5,3,2,1]=>[1,2,3,5,7,4,8,6]
[6,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,6]
[3,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,3]
[2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]
[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]
[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]
[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]
[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]
[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]
[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]
[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]
[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]
[4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]
[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]
[6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]
[5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]
[3,7,4,8,5,6,1,2]=>[2,1,6,5,8,4,7,3]
[4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]
[4,7,2,8,5,6,1,3]=>[3,1,6,5,8,2,7,4]
[4,7,1,8,5,6,2,3]=>[3,2,6,5,8,1,7,4]
[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]
[3,7,2,8,5,6,1,4]=>[4,1,6,5,8,2,7,3]
[2,7,3,8,5,6,1,4]=>[4,1,6,5,8,3,7,2]
[2,7,4,8,5,6,1,3]=>[3,1,6,5,8,4,7,2]
[5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]
[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]
[7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]
[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]
[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]
[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]
[1,7,4,8,5,6,2,3]=>[3,2,6,5,8,4,7,1]
[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]
[2,8,5,6,1,7,3,4]=>[4,3,7,1,6,5,8,2]
[1,8,5,6,2,7,3,4]=>[4,3,7,2,6,5,8,1]
[1,7,3,8,4,6,2,5]=>[5,2,6,4,8,3,7,1]
[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]
[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]
[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]
[7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]
[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]
[5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]
[4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]
[2,7,3,8,4,6,1,5]=>[5,1,6,4,8,3,7,2]
[3,7,2,8,4,6,1,5]=>[5,1,6,4,8,2,7,3]
[3,7,1,8,4,6,2,5]=>[5,2,6,4,8,1,7,3]
[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]
[2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]
[3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]
[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]
[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]
[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]
[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]
[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]
[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]
[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]
[4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]
[5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]
[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]
[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]
[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]
[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]
[1,5,2,8,6,7,3,4]=>[4,3,7,6,8,2,5,1]
[2,5,1,8,6,7,3,4]=>[4,3,7,6,8,1,5,2]
[2,6,1,8,5,7,3,4]=>[4,3,7,5,8,1,6,2]
[1,6,2,8,5,7,3,4]=>[4,3,7,5,8,2,6,1]
[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]
[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]
[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]
[7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]
[6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]
[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]
[3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]
[1,6,2,8,4,7,3,5]=>[5,3,7,4,8,2,6,1]
[2,6,1,8,4,7,3,5]=>[5,3,7,4,8,1,6,2]
[3,7,2,6,1,8,4,5]=>[5,4,8,1,6,2,7,3]
[3,7,1,6,2,8,4,5]=>[5,4,8,2,6,1,7,3]
[4,8,1,6,2,7,3,5]=>[5,3,7,2,6,1,8,4]
[5,8,1,6,2,7,3,4]=>[4,3,7,2,6,1,8,5]
[7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]
[7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]
[6,8,2,5,1,7,3,4]=>[4,3,7,1,5,2,8,6]
[5,8,2,6,1,7,3,4]=>[4,3,7,1,6,2,8,5]
[4,8,2,6,1,7,3,5]=>[5,3,7,1,6,2,8,4]
[1,7,3,6,2,8,4,5]=>[5,4,8,2,6,3,7,1]
[2,7,3,6,1,8,4,5]=>[5,4,8,1,6,3,7,2]
[6,7,4,8,3,5,1,2]=>[2,1,5,3,8,4,7,6]
[6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]
[5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]
[5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]
[5,7,4,8,3,6,1,2]=>[2,1,6,3,8,4,7,5]
[6,8,4,5,3,7,1,2]=>[2,1,7,3,5,4,8,6]
[5,8,4,6,3,7,1,2]=>[2,1,7,3,6,4,8,5]
[5,6,4,8,3,7,1,2]=>[2,1,7,3,8,4,6,5]
[5,6,3,7,2,4,1,8]=>[8,1,4,2,7,3,6,5]
[5,6,3,7,2,8,1,4]=>[4,1,8,2,7,3,6,5]
[5,6,3,8,2,7,1,4]=>[4,1,7,2,8,3,6,5]
[5,6,4,8,2,7,1,3]=>[3,1,7,2,8,4,6,5]
[5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]
[6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]
[7,8,4,5,2,6,1,3]=>[3,1,6,2,5,4,8,7]
[6,8,4,5,2,3,1,7]=>[7,1,3,2,5,4,8,6]
[5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5]
[5,6,4,8,2,3,1,7]=>[7,1,3,2,8,4,6,5]
[5,6,3,8,2,4,1,7]=>[7,1,4,2,8,3,6,5]
[5,6,3,4,2,8,1,7]=>[7,1,8,2,4,3,6,5]
[4,6,3,5,2,7,1,8]=>[8,1,7,2,5,3,6,4]
[4,6,3,5,2,8,1,7]=>[7,1,8,2,5,3,6,4]
[4,6,3,8,2,5,1,7]=>[7,1,5,2,8,3,6,4]
[4,8,3,6,2,5,1,7]=>[7,1,5,2,6,3,8,4]
[5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5]
[6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]
[7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]
[7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]
[5,8,3,6,2,7,1,4]=>[4,1,7,2,6,3,8,5]
[4,8,3,6,2,7,1,5]=>[5,1,7,2,6,3,8,4]
[4,6,3,8,2,7,1,5]=>[5,1,7,2,8,3,6,4]
[4,6,3,7,2,8,1,5]=>[5,1,8,2,7,3,6,4]
[4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]
[4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]
[4,7,3,8,2,6,1,5]=>[5,1,6,2,8,3,7,4]
[5,7,4,8,2,6,1,3]=>[3,1,6,2,8,4,7,5]
[5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]
[5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]
[6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]
[6,7,3,5,2,8,1,4]=>[4,1,8,2,5,3,7,6]
[6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]
[6,7,5,8,2,4,1,3]=>[3,1,4,2,8,5,7,6]
[6,8,5,7,2,3,1,4]=>[4,1,3,2,7,5,8,6]
[6,7,4,8,2,3,1,5]=>[5,1,3,2,8,4,7,6]
[6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]
[6,7,3,4,2,8,1,5]=>[5,1,8,2,4,3,7,6]
[5,7,3,4,2,6,1,8]=>[8,1,6,2,4,3,7,5]
[5,7,3,4,2,8,1,6]=>[6,1,8,2,4,3,7,5]
[5,7,4,8,2,3,1,6]=>[6,1,3,2,8,4,7,5]
[5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5]
[6,8,4,7,2,3,1,5]=>[5,1,3,2,7,4,8,6]
[7,8,4,6,2,3,1,5]=>[5,1,3,2,6,4,8,7]
[7,8,3,6,2,4,1,5]=>[5,1,4,2,6,3,8,7]
[6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]
[5,8,3,7,2,4,1,6]=>[6,1,4,2,7,3,8,5]
[4,8,3,7,2,5,1,6]=>[6,1,5,2,7,3,8,4]
[4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]
[4,7,3,5,2,8,1,6]=>[6,1,8,2,5,3,7,4]
[4,7,3,5,2,6,1,8]=>[8,1,6,2,5,3,7,4]
[4,5,3,7,2,6,1,8]=>[8,1,6,2,7,3,5,4]
[4,5,3,7,2,8,1,6]=>[6,1,8,2,7,3,5,4]
[4,5,3,8,2,7,1,6]=>[6,1,7,2,8,3,5,4]
[4,8,3,5,2,7,1,6]=>[6,1,7,2,5,3,8,4]
[5,8,3,4,2,7,1,6]=>[6,1,7,2,4,3,8,5]
[6,8,3,4,2,7,1,5]=>[5,1,7,2,4,3,8,6]
[7,8,3,4,2,6,1,5]=>[5,1,6,2,4,3,8,7]
[6,8,3,4,2,5,1,7]=>[7,1,5,2,4,3,8,6]
[5,8,3,4,2,6,1,7]=>[7,1,6,2,4,3,8,5]
[4,8,3,5,2,6,1,7]=>[7,1,6,2,5,3,8,4]
[4,5,3,8,2,6,1,7]=>[7,1,6,2,8,3,5,4]
[4,5,3,6,2,8,1,7]=>[7,1,8,2,6,3,5,4]
[4,7,5,2,1,8,3,6]=>[6,3,8,1,2,5,7,4]
[4,8,5,2,1,7,6,3]=>[3,6,7,1,2,5,8,4]
[4,6,5,2,1,3,8,7]=>[7,8,3,1,2,5,6,4]
[5,6,4,2,3,1,8,7]=>[7,8,1,3,2,4,6,5]
[6,4,5,3,1,2,8,7]=>[7,8,2,1,3,5,4,6]
[5,4,6,1,3,2,8,7]=>[7,8,2,3,1,6,4,5]
[4,6,8,1,7,3,2,5]=>[5,2,3,7,1,8,6,4]
[4,7,8,1,6,3,5,2]=>[2,5,3,6,1,8,7,4]
[7,4,8,1,6,5,3,2]=>[2,3,5,6,1,8,4,7]
[5,4,8,1,3,7,6,2]=>[2,6,7,3,1,8,4,5]
[8,4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4,8]
[5,4,7,1,3,8,2,6]=>[6,2,8,3,1,7,4,5]
[6,4,8,1,7,5,2,3]=>[3,2,5,7,1,8,4,6]
[5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]
[8,5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5,8]
[8,4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4,8]
[6,3,2,8,7,4,1,5]=>[5,1,4,7,8,2,3,6]
[2,1,6,8,7,4,3,5]=>[5,3,4,7,8,6,1,2]
[2,1,7,8,6,4,5,3]=>[3,5,4,6,8,7,1,2]
[7,3,2,8,6,4,5,1]=>[1,5,4,6,8,2,3,7]
[7,6,8,5,2,4,3,1]=>[1,3,4,2,5,8,6,7]
[5,7,8,6,2,3,1,4]=>[4,1,3,2,6,8,7,5]
[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]
[6,8,7,5,3,2,4,1]=>[1,4,2,3,5,7,8,6]
[5,8,4,2,3,7,6,1]=>[1,6,7,3,2,4,8,5]
[7,8,4,2,6,5,3,1]=>[1,3,5,6,2,4,8,7]
[4,8,7,2,6,3,5,1]=>[1,5,3,6,2,7,8,4]
[4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]
[3,6,1,8,7,4,2,5]=>[5,2,4,7,8,1,6,3]
[3,7,1,8,6,4,5,2]=>[2,5,4,6,8,1,7,3]
[3,8,1,6,7,5,2,4]=>[4,2,5,7,6,1,8,3]
[3,7,1,6,8,2,5,4]=>[4,5,2,8,6,1,7,3]
[4,7,6,2,8,1,3,5]=>[5,3,1,8,2,6,7,4]
[6,7,4,2,8,1,5,3]=>[3,5,1,8,2,4,7,6]
[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]
[2,1,8,6,7,5,3,4]=>[4,3,5,7,6,8,1,2]
[8,3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3,8]
[8,6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6,8]
[5,8,6,7,3,1,2,4]=>[4,2,1,3,7,6,8,5]
[6,7,5,8,1,3,4,2]=>[2,4,3,1,8,5,7,6]
[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]
[8,6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6,8]
[7,6,4,3,8,1,5,2]=>[2,5,1,8,3,4,6,7]
[7,3,2,6,8,1,5,4]=>[4,5,1,8,6,2,3,7]
[2,1,7,6,8,3,5,4]=>[4,5,3,8,6,7,1,2]
[7,5,6,8,1,4,2,3]=>[3,2,4,1,8,6,5,7]
[6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]
[8,1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1,8]
[5,2,8,7,4,6,1,3]=>[3,1,6,4,7,8,2,5]
[1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]
[6,2,7,5,4,8,3,1]=>[1,3,8,4,5,7,2,6]
[8,1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1,8]
[6,1,5,4,3,8,7,2]=>[2,7,8,3,4,5,1,6]
[6,1,8,3,4,5,7,2]=>[2,7,5,4,3,8,1,6]
[7,1,5,3,4,8,6,2]=>[2,6,8,4,3,5,1,7]
[7,1,4,3,5,6,8,2]=>[2,8,6,5,3,4,1,7]
[8,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,8]
[1,7,2,4,5,6,3,8]=>[8,3,6,5,4,2,7,1]
[6,3,2,7,5,1,8,4]=>[4,8,1,5,7,2,3,6]
[8,4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4,8]
[6,5,8,2,4,7,3,1]=>[1,3,7,4,2,8,5,6]
[8,5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5,8]
[6,5,2,8,4,1,3,7]=>[7,3,1,4,8,2,5,6]
[5,6,2,1,4,8,3,7]=>[7,3,8,4,1,2,6,5]
[3,6,1,8,5,2,4,7]=>[7,4,2,5,8,1,6,3]
[1,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,1]
[3,4,1,2,8,6,5,7]=>[7,5,6,8,2,1,4,3]
[4,3,1,2,6,8,5,7]=>[7,5,8,6,2,1,3,4]
[5,8,1,6,3,2,4,7]=>[7,4,2,3,6,1,8,5]
[6,3,8,5,2,1,4,7]=>[7,4,1,2,5,8,3,6]
[8,3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3,8]
[3,8,2,6,1,5,7,4]=>[4,7,5,1,6,2,8,3]
[3,8,6,7,2,1,5,4]=>[4,5,1,2,7,6,8,3]
[8,5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5,8]
[7,2,5,8,3,1,6,4]=>[4,6,1,3,8,5,2,7]
[1,7,5,6,3,2,4,8]=>[8,4,2,3,6,5,7,1]
[6,1,2,3,8,5,7,4]=>[4,7,5,8,3,2,1,6]
[7,1,2,3,6,5,8,4]=>[4,8,5,6,3,2,1,7]
[7,2,1,3,8,6,4,5]=>[5,4,6,8,3,1,2,7]
[1,5,7,3,2,4,6,8]=>[8,6,4,2,3,7,5,1]
[5,2,7,3,1,8,4,6]=>[6,4,8,1,3,7,2,5]
[5,8,2,4,1,3,7,6]=>[6,7,3,1,4,2,8,5]
[8,7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7,8]
[4,8,1,6,3,2,7,5]=>[5,7,2,3,6,1,8,4]
[3,1,8,6,4,2,7,5]=>[5,7,2,4,6,8,1,3]
[8,1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1,8]
[3,5,8,7,2,4,1,6]=>[6,1,4,2,7,8,5,3]
[4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]
[2,4,1,3,8,7,5,6]=>[6,5,7,8,3,1,4,2]
[2,5,8,3,1,7,4,6]=>[6,4,7,1,3,8,5,2]
[8,6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6,8]
[2,8,1,3,6,4,7,5]=>[5,7,4,6,3,1,8,2]
[6,8,2,3,4,1,5,7]=>[7,5,1,4,3,2,8,6]
[5,1,8,3,2,4,6,7]=>[7,6,4,2,3,8,1,5]
[1,4,2,7,8,6,3,5]=>[5,3,6,8,7,2,4,1]
[1,6,2,4,8,5,3,7]=>[7,3,5,8,4,2,6,1]
[1,6,2,4,7,5,3,8]=>[8,3,5,7,4,2,6,1]
[1,7,3,8,5,2,4,6]=>[6,4,2,5,8,3,7,1]
[1,7,3,2,8,6,4,5]=>[5,4,6,8,2,3,7,1]
[4,2,5,7,8,6,1,3]=>[3,1,6,8,7,5,2,4]
[7,2,3,1,8,5,6,4]=>[4,6,5,8,1,3,2,7]
[8,2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2,8]
[6,2,1,8,3,4,7,5]=>[5,7,4,3,8,1,2,6]
[6,2,8,3,5,1,7,4]=>[4,7,1,5,3,8,2,6]
[6,2,4,8,5,7,1,3]=>[3,1,7,5,8,4,2,6]
[1,3,6,4,8,5,7,2]=>[2,7,5,8,4,6,3,1]
[1,3,6,4,7,5,8,2]=>[2,8,5,7,4,6,3,1]
[6,2,4,7,5,8,1,3]=>[3,1,8,5,7,4,2,6]
[6,2,1,3,7,8,4,5]=>[5,4,8,7,3,1,2,6]
[7,8,2,1,4,3,5,6]=>[6,5,3,4,1,2,8,7]
[7,6,4,2,3,1,8,5]=>[5,8,1,3,2,4,6,7]
[5,7,2,3,1,6,8,4]=>[4,8,6,1,3,2,7,5]
[7,5,4,2,6,8,1,3]=>[3,1,8,6,2,4,5,7]
[1,7,5,3,4,6,8,2]=>[2,8,6,4,3,5,7,1]
[8,2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2,8]
[5,2,6,3,1,8,7,4]=>[4,7,8,1,3,6,2,5]
[8,2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2,8]
[8,2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2,8]
[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]
[1,7,4,2,3,5,6,8]=>[8,6,5,3,2,4,7,1]
[6,8,4,1,3,2,5,7]=>[7,5,2,3,1,4,8,6]
[1,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,1]
[1,6,3,8,2,4,7,5]=>[5,7,4,2,8,3,6,1]
[5,3,8,1,2,7,4,6]=>[6,4,7,2,1,8,3,5]
[5,1,8,3,2,6,4,7]=>[7,4,6,2,3,8,1,5]
[5,7,3,1,2,6,4,8]=>[8,4,6,2,1,3,7,5]
[1,7,5,4,2,6,3,8]=>[8,3,6,2,4,5,7,1]
[1,5,8,2,4,6,3,7]=>[7,3,6,4,2,8,5,1]
[1,5,8,4,2,7,3,6]=>[6,3,7,2,4,8,5,1]
[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]
[5,3,1,6,7,2,4,8]=>[8,4,2,7,6,1,3,5]
[5,3,6,1,2,8,4,7]=>[7,4,8,2,1,6,3,5]
[1,6,3,2,7,8,4,5]=>[5,4,8,7,2,3,6,1]
[1,7,4,5,3,8,6,2]=>[2,6,8,3,5,4,7,1]
[6,3,4,1,2,5,8,7]=>[7,8,5,2,1,4,3,6]
[6,3,1,4,2,7,5,8]=>[8,5,7,2,4,1,3,6]
[1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]
[8,6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6,8]
[8,5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5,8]
[4,5,2,6,8,1,7,3]=>[3,7,1,8,6,2,5,4]
[4,2,5,6,7,8,1,3]=>[3,1,8,7,6,5,2,4]
[5,2,3,6,7,1,8,4]=>[4,8,1,7,6,3,2,5]
[6,2,3,4,1,7,8,5]=>[5,8,7,1,4,3,2,6]
[7,2,3,1,4,5,8,6]=>[6,8,5,4,1,3,2,7]
[8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]
[8,3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3,8]
[3,7,5,1,8,2,4,6]=>[6,4,2,8,1,5,7,3]
[4,1,5,2,8,7,3,6]=>[6,3,7,8,2,5,1,4]
[8,1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1,8]
[8,1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1,8]
[8,2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2,8]
[8,3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3,8]
[8,1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1,8]
[8,1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1,8]
[8,1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1,8]
[1,7,5,4,2,8,3,6]=>[6,3,8,2,4,5,7,1]
[5,1,4,8,2,7,3,6]=>[6,3,7,2,8,4,1,5]
[1,4,6,8,2,7,3,5]=>[5,3,7,2,8,6,4,1]
[1,4,7,6,2,8,3,5]=>[5,3,8,2,6,7,4,1]
[5,1,4,7,2,8,3,6]=>[6,3,8,2,7,4,1,5]
[1,7,4,5,2,8,3,6]=>[6,3,8,2,5,4,7,1]
[3,7,5,1,2,8,4,6]=>[6,4,8,2,1,5,7,3]
[5,7,2,8,1,3,4,6]=>[6,4,3,1,8,2,7,5]
[5,2,8,7,1,3,4,6]=>[6,4,3,1,7,8,2,5]
[4,1,5,8,2,7,3,6]=>[6,3,7,2,8,5,1,4]
[1,4,6,2,8,7,3,5]=>[5,3,7,8,2,6,4,1]
[1,4,2,8,6,7,3,5]=>[5,3,7,6,8,2,4,1]
[3,1,2,6,4,8,7,5]=>[5,7,8,4,6,2,1,3]
[2,1,7,6,3,4,8,5]=>[5,8,4,3,6,7,1,2]
[3,1,2,7,4,6,8,5]=>[5,8,6,4,7,2,1,3]
[1,4,7,2,6,8,3,5]=>[5,3,8,6,2,7,4,1]
[1,2,3,6,8,5,7,4]=>[4,7,5,8,6,3,2,1]
[5,1,4,2,7,8,3,6]=>[6,3,8,7,2,4,1,5]
[1,4,2,7,6,8,3,5]=>[5,3,8,6,7,2,4,1]
[1,4,2,6,8,7,3,5]=>[5,3,7,8,6,2,4,1]
[3,1,2,8,4,6,7,5]=>[5,7,6,4,8,2,1,3]
[3,1,2,7,6,4,8,5]=>[5,8,4,6,7,2,1,3]
[5,3,7,1,8,2,4,6]=>[6,4,2,8,1,7,3,5]
[1,7,4,3,2,5,8,6]=>[6,8,5,2,3,4,7,1]
[4,8,7,2,1,3,5,6]=>[6,5,3,1,2,7,8,4]
[1,8,7,3,4,2,5,6]=>[6,5,2,4,3,7,8,1]
[3,1,7,8,2,6,4,5]=>[5,4,6,2,8,7,1,3]
[1,4,2,7,8,3,6,5]=>[5,6,3,8,7,2,4,1]
[5,2,8,1,3,4,7,6]=>[6,7,4,3,1,8,2,5]
[2,1,8,6,3,4,7,5]=>[5,7,4,3,6,8,1,2]
[1,4,2,6,8,3,7,5]=>[5,7,3,8,6,2,4,1]
[1,2,3,7,8,5,6,4]=>[4,6,5,8,7,3,2,1]
[1,2,3,7,5,8,6,4]=>[4,6,8,5,7,3,2,1]
[1,4,2,7,3,8,6,5]=>[5,6,8,3,7,2,4,1]
[3,1,7,2,8,6,4,5]=>[5,4,6,8,2,7,1,3]
[2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]
[1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]
[4,7,8,5,6,2,1,3]=>[3,1,2,6,5,8,7,4]
[5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]
[6,7,8,4,2,5,1,3]=>[3,1,5,2,4,8,7,6]
[8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]
[7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]
[6,7,8,3,2,1,5,4]=>[4,5,1,2,3,8,7,6]
[5,7,8,3,2,1,6,4]=>[4,6,1,2,3,8,7,5]
[2,7,8,4,3,5,6,1]=>[1,6,5,3,4,8,7,2]
[3,7,8,4,2,5,1,6]=>[6,1,5,2,4,8,7,3]
[4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]
[5,7,8,3,2,1,4,6]=>[6,4,1,2,3,8,7,5]
[7,6,3,8,2,1,4,5]=>[5,4,1,2,8,3,6,7]
[8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]
[5,6,3,8,2,1,4,7]=>[7,4,1,2,8,3,6,5]
[3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]
[2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]
[2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]
[3,6,4,7,2,5,1,8]=>[8,1,5,2,7,4,6,3]
[4,6,3,7,2,1,5,8]=>[8,5,1,2,7,3,6,4]
[5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]
[8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]
[6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]
[4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]
[3,5,4,2,8,6,1,7]=>[7,1,6,8,2,4,5,3]
[6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]
[7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]
[8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]
[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]
[7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]
[6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]
[5,6,3,8,2,1,7,4]=>[4,7,1,2,8,3,6,5]
[7,5,3,2,8,1,6,4]=>[4,6,1,8,2,3,5,7]
[8,5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5,8]
[7,5,4,2,8,6,1,3]=>[3,1,6,8,2,4,5,7]
[6,5,4,2,8,7,1,3]=>[3,1,7,8,2,4,5,6]
[4,6,5,8,7,2,1,3]=>[3,1,2,7,8,5,6,4]
[2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]
[6,5,4,2,7,8,1,3]=>[3,1,8,7,2,4,5,6]
[8,5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5,8]
[8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]
[7,5,3,2,6,1,8,4]=>[4,8,1,6,2,3,5,7]
[5,6,3,7,2,1,8,4]=>[4,8,1,2,7,3,6,5]
[4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]
[3,6,4,7,2,8,1,5]=>[5,1,8,2,7,4,6,3]
[2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]
[3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]
[4,5,3,2,7,1,8,6]=>[6,8,1,7,2,3,5,4]
[7,4,3,2,1,6,8,5]=>[5,8,6,1,2,3,4,7]
[8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]
[8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]
[7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]
[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]
[3,5,4,2,6,8,1,7]=>[7,1,8,6,2,4,5,3]
[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]
[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]
[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]
[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]
[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]
[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]
[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]
[3,2,6,4,8,5,1,7]=>[7,1,5,8,4,6,2,3]
[3,2,5,8,4,6,1,7]=>[7,1,6,4,8,5,2,3]
[3,5,2,4,1,7,6,8]=>[8,6,7,1,4,2,5,3]
[4,2,1,5,7,3,6,8]=>[8,6,3,7,5,1,2,4]
[4,5,2,3,7,1,6,8]=>[8,6,1,7,3,2,5,4]
[4,2,5,3,8,1,6,7]=>[7,6,1,8,3,5,2,4]
[4,2,5,8,3,1,6,7]=>[7,6,1,3,8,5,2,4]
[3,1,5,4,2,8,6,7]=>[7,6,8,2,4,5,1,3]
[4,1,5,3,8,2,6,7]=>[7,6,2,8,3,5,1,4]
[4,1,5,8,3,2,6,7]=>[7,6,2,3,8,5,1,4]
[4,3,8,5,2,1,6,7]=>[7,6,1,2,5,8,3,4]
[4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]
[4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]
[4,3,6,2,5,1,7,8]=>[8,7,1,5,2,6,3,4]
[4,6,3,2,5,1,7,8]=>[8,7,1,5,2,3,6,4]
[4,6,7,1,3,2,5,8]=>[8,5,2,3,1,7,6,4]
[4,5,1,7,3,2,6,8]=>[8,6,2,3,7,1,5,4]
[4,5,1,3,7,2,6,8]=>[8,6,2,7,3,1,5,4]
[3,5,1,4,2,7,6,8]=>[8,6,7,2,4,1,5,3]
[2,5,1,4,3,7,8,6]=>[6,8,7,3,4,1,5,2]
[5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]
[5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]
[4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]
[4,3,1,7,5,2,6,8]=>[8,6,2,5,7,1,3,4]
[4,3,6,1,5,2,7,8]=>[8,7,2,5,1,6,3,4]
[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]
[5,3,6,4,1,2,7,8]=>[8,7,2,1,4,6,3,5]
[4,3,6,1,7,2,5,8]=>[8,5,2,7,1,6,3,4]
[6,3,4,1,2,7,5,8]=>[8,5,7,2,1,4,3,6]
[6,2,4,1,3,7,8,5]=>[5,8,7,3,1,4,2,6]
[3,6,4,1,2,7,5,8]=>[8,5,7,2,1,4,6,3]
[4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]
[5,3,6,2,1,4,7,8]=>[8,7,4,1,2,6,3,5]
[5,6,2,7,1,3,4,8]=>[8,4,3,1,7,2,6,5]
[4,5,2,7,3,1,6,8]=>[8,6,1,3,7,2,5,4]
[4,6,7,2,3,1,5,8]=>[8,5,1,3,2,7,6,4]
[4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]
[3,2,6,1,4,7,5,8]=>[8,5,7,4,1,6,2,3]
[3,6,2,1,4,7,5,8]=>[8,5,7,4,1,2,6,3]
[3,6,7,2,4,5,1,8]=>[8,1,5,4,2,7,6,3]
[3,5,2,7,4,6,1,8]=>[8,1,6,4,7,2,5,3]
[3,7,2,4,8,5,1,6]=>[6,1,5,8,4,2,7,3]
[7,2,1,4,6,3,8,5]=>[5,8,3,6,4,1,2,7]
[7,3,1,4,6,8,2,5]=>[5,2,8,6,4,1,3,7]
[3,2,6,1,5,7,4,8]=>[8,4,7,5,1,6,2,3]
[3,6,2,1,5,7,4,8]=>[8,4,7,5,1,2,6,3]
[6,3,2,1,5,7,4,8]=>[8,4,7,5,1,2,3,6]
[6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]
[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]
[4,2,1,7,5,3,6,8]=>[8,6,3,5,7,1,2,4]
[7,4,1,5,6,2,3,8]=>[8,3,2,6,5,1,4,7]
[7,3,1,5,2,6,4,8]=>[8,4,6,2,5,1,3,7]
[7,2,1,5,3,6,8,4]=>[4,8,6,3,5,1,2,7]
[6,2,5,1,3,7,8,4]=>[4,8,7,3,1,5,2,6]
[6,3,5,1,2,7,4,8]=>[8,4,7,2,1,5,3,6]
[6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6]
[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]
[4,6,5,1,7,2,3,8]=>[8,3,2,7,1,5,6,4]
[3,6,5,1,2,7,4,8]=>[8,4,7,2,1,5,6,3]
[6,5,2,1,4,7,8,3]=>[3,8,7,4,1,2,5,6]
[6,5,3,1,4,7,2,8]=>[8,2,7,4,1,3,5,6]
[2,3,1,8,5,4,7,6]=>[6,7,4,5,8,1,3,2]
[2,4,1,5,8,3,7,6]=>[6,7,3,8,5,1,4,2]
[2,4,1,5,3,8,7,6]=>[6,7,8,3,5,1,4,2]
[3,4,5,1,2,8,7,6]=>[6,7,8,2,1,5,4,3]
[3,4,5,1,8,2,7,6]=>[6,7,2,8,1,5,4,3]
[1,8,4,5,3,2,7,6]=>[6,7,2,3,5,4,8,1]
[2,4,8,5,3,1,7,6]=>[6,7,1,3,5,8,4,2]
[3,4,5,8,2,1,7,6]=>[6,7,1,2,8,5,4,3]
[3,4,5,2,8,1,7,6]=>[6,7,1,8,2,5,4,3]
[3,4,6,2,1,7,8,5]=>[5,8,7,1,2,6,4,3]
[3,4,6,2,1,7,5,8]=>[8,5,7,1,2,6,4,3]
[3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]
[3,5,6,2,7,1,8,4]=>[4,8,1,7,2,6,5,3]
[3,5,6,2,7,8,1,4]=>[4,1,8,7,2,6,5,3]
[3,4,6,2,8,7,1,5]=>[5,1,7,8,2,6,4,3]
[3,4,6,8,2,7,1,5]=>[5,1,7,2,8,6,4,3]
[2,4,8,6,3,7,1,5]=>[5,1,7,3,6,8,4,2]
[1,8,4,6,3,7,2,5]=>[5,2,7,3,6,4,8,1]
[1,8,4,6,3,7,5,2]=>[2,5,7,3,6,4,8,1]
[3,4,6,8,2,7,5,1]=>[1,5,7,2,8,6,4,3]
[3,4,6,2,8,7,5,1]=>[1,5,7,8,2,6,4,3]
[3,5,6,2,7,8,4,1]=>[1,4,8,7,2,6,5,3]
[3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]
[4,5,6,7,2,8,3,1]=>[1,3,8,2,7,6,5,4]
[3,5,6,8,7,2,4,1]=>[1,4,2,7,8,6,5,3]
[2,5,8,6,7,3,4,1]=>[1,4,3,7,6,8,5,2]
[1,8,5,6,7,3,4,2]=>[2,4,3,7,6,5,8,1]
[1,8,5,6,7,3,2,4]=>[4,2,3,7,6,5,8,1]
[2,5,8,6,7,3,1,4]=>[4,1,3,7,6,8,5,2]
[3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]
[4,5,6,7,2,1,8,3]=>[3,8,1,2,7,6,5,4]
[3,4,6,1,8,7,2,5]=>[5,2,7,8,1,6,4,3]
[2,4,1,6,8,7,3,5]=>[5,3,7,8,6,1,4,2]
[2,3,1,8,6,7,4,5]=>[5,4,7,6,8,1,3,2]
[1,8,3,2,6,7,5,4]=>[4,5,7,6,2,3,8,1]
[2,5,1,6,7,8,4,3]=>[3,4,8,7,6,1,5,2]
[2,5,1,6,7,4,8,3]=>[3,8,4,7,6,1,5,2]
[2,5,1,6,7,4,3,8]=>[8,3,4,7,6,1,5,2]
[3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]
[3,5,6,1,7,4,8,2]=>[2,8,4,7,1,6,5,3]
[3,4,6,1,8,7,5,2]=>[2,5,7,8,1,6,4,3]
[2,4,8,6,1,7,5,3]=>[3,5,7,1,6,8,4,2]
[1,8,4,6,2,7,5,3]=>[3,5,7,2,6,4,8,1]
[1,8,5,6,7,2,4,3]=>[3,4,2,7,6,5,8,1]
[2,5,8,6,7,1,4,3]=>[3,4,1,7,6,8,5,2]
[3,5,6,8,7,1,4,2]=>[2,4,1,7,8,6,5,3]
[4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]
[4,5,6,7,1,3,8,2]=>[2,8,3,1,7,6,5,4]
[4,5,6,7,1,3,2,8]=>[8,2,3,1,7,6,5,4]
[4,5,6,7,3,1,8,2]=>[2,8,1,3,7,6,5,4]
[3,5,6,8,7,4,1,2]=>[2,1,4,7,8,6,5,3]
[2,5,8,6,7,4,1,3]=>[3,1,4,7,6,8,5,2]
[1,8,5,6,7,4,2,3]=>[3,2,4,7,6,5,8,1]
[1,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,1]
[2,5,8,6,7,4,3,1]=>[1,3,4,7,6,8,5,2]
[8,2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2,8]
[8,2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2,8]
[5,8,2,4,3,7,1,6]=>[6,1,7,3,4,2,8,5]
[4,2,5,6,1,8,3,7]=>[7,3,8,1,6,5,2,4]
[4,2,5,6,1,7,3,8]=>[8,3,7,1,6,5,2,4]
[6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]
[6,1,5,8,3,2,4,7]=>[7,4,2,3,8,5,1,6]
[3,8,2,4,7,1,5,6]=>[6,5,1,7,4,2,8,3]
[3,6,8,2,4,7,1,5]=>[5,1,7,4,2,8,6,3]
[4,3,5,6,7,1,8,2]=>[2,8,1,7,6,5,3,4]
[3,7,1,5,6,8,2,4]=>[4,2,8,6,5,1,7,3]
[3,7,1,5,8,2,4,6]=>[6,4,2,8,5,1,7,3]
[8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]
[7,3,2,4,6,1,5,8]=>[8,5,1,6,4,2,3,7]
[3,2,5,1,7,4,6,8]=>[8,6,4,7,1,5,2,3]
[3,2,5,1,8,4,6,7]=>[7,6,4,8,1,5,2,3]
[3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]
[7,8,3,2,4,6,1,5]=>[5,1,6,4,2,3,8,7]
[6,1,5,7,8,3,2,4]=>[4,2,3,8,7,5,1,6]
[4,2,5,6,1,7,8,3]=>[3,8,7,1,6,5,2,4]
[5,7,6,1,8,3,4,2]=>[2,4,3,8,1,6,7,5]
[5,8,6,1,7,3,4,2]=>[2,4,3,7,1,6,8,5]
[6,1,5,8,7,3,2,4]=>[4,2,3,7,8,5,1,6]
[8,7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7,8]
[3,2,5,1,8,7,4,6]=>[6,4,7,8,1,5,2,3]
[3,2,5,1,6,4,7,8]=>[8,7,4,6,1,5,2,3]
[3,2,4,1,8,7,5,6]=>[6,5,7,8,1,4,2,3]
[3,2,5,1,6,8,7,4]=>[4,7,8,6,1,5,2,3]
[3,8,6,5,1,7,4,2]=>[2,4,7,1,5,6,8,3]
[3,7,6,5,1,8,4,2]=>[2,4,8,1,5,6,7,3]
[6,5,1,7,8,4,2,3]=>[3,2,4,8,7,1,5,6]
[3,2,5,1,6,7,8,4]=>[4,8,7,6,1,5,2,3]
[3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]
[3,2,4,1,7,5,6,8]=>[8,6,5,7,1,4,2,3]
[3,2,4,1,6,8,5,7]=>[7,5,8,6,1,4,2,3]
[3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]
[8,3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3,8]
[3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]
[3,2,5,1,6,7,4,8]=>[8,4,7,6,1,5,2,3]
[6,5,1,7,4,2,3,8]=>[8,3,2,4,7,1,5,6]
[6,5,1,8,4,2,3,7]=>[7,3,2,4,8,1,5,6]
[8,4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4,8]
[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]
[5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]
[8,4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4,8]
[5,2,6,1,8,4,7,3]=>[3,7,4,8,1,6,2,5]
[7,4,2,3,8,5,1,6]=>[6,1,5,8,3,2,4,7]
[8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]
[7,5,1,6,4,2,3,8]=>[8,3,2,4,6,1,5,7]
[3,2,5,1,7,6,4,8]=>[8,4,6,7,1,5,2,3]
[3,2,5,1,8,6,4,7]=>[7,4,6,8,1,5,2,3]
[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]
[8,6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6,8]
[4,2,6,1,8,5,7,3]=>[3,7,5,8,1,6,2,4]
[8,5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5,8]
[3,6,8,5,1,7,4,2]=>[2,4,7,1,5,8,6,3]
[8,5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5,8]
[3,2,5,1,8,6,7,4]=>[4,7,6,8,1,5,2,3]
[3,2,4,1,8,6,5,7]=>[7,5,6,8,1,4,2,3]
[3,2,4,1,5,8,6,7]=>[7,6,8,5,1,4,2,3]
[3,2,5,1,7,8,6,4]=>[4,6,8,7,1,5,2,3]
[7,8,5,1,6,4,2,3]=>[3,2,4,6,1,5,8,7]
[3,8,5,1,7,6,4,2]=>[2,4,6,7,1,5,8,3]
[3,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,3]
[8,7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7,8]
[3,2,5,1,8,7,6,4]=>[4,6,7,8,1,5,2,3]
[6,5,7,3,1,8,4,2]=>[2,4,8,1,3,7,5,6]
[4,6,3,7,1,8,5,2]=>[2,5,8,1,7,3,6,4]
[4,6,3,7,5,1,8,2]=>[2,8,1,5,7,3,6,4]
[4,2,6,1,7,5,3,8]=>[8,3,5,7,1,6,2,4]
[2,5,7,4,1,6,3,8]=>[8,3,6,1,4,7,5,2]
[2,5,7,4,1,6,8,3]=>[3,8,6,1,4,7,5,2]
[5,4,7,3,6,1,8,2]=>[2,8,1,6,3,7,4,5]
[5,4,7,8,3,1,6,2]=>[2,6,1,3,8,7,4,5]
[4,3,7,5,1,8,6,2]=>[2,6,8,1,5,7,3,4]
[6,4,3,8,5,1,7,2]=>[2,7,1,5,8,3,4,6]
[5,8,4,3,6,1,7,2]=>[2,7,1,6,3,4,8,5]
[5,4,8,3,6,1,7,2]=>[2,7,1,6,3,8,4,5]
[5,4,3,6,7,1,8,2]=>[2,8,1,7,6,3,4,5]
[2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]
[3,2,5,8,1,6,7,4]=>[4,7,6,1,8,5,2,3]
[2,5,4,6,8,1,7,3]=>[3,7,1,8,6,4,5,2]
[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]
[4,6,2,1,8,5,7,3]=>[3,7,5,8,1,2,6,4]
[2,4,1,7,5,8,6,3]=>[3,6,8,5,7,1,4,2]
[2,4,1,7,5,3,8,6]=>[6,8,3,5,7,1,4,2]
[2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]
[5,4,8,2,1,6,3,7]=>[7,3,6,1,2,8,4,5]
[2,5,8,4,1,6,3,7]=>[7,3,6,1,4,8,5,2]
[3,2,5,6,1,8,4,7]=>[7,4,8,1,6,5,2,3]
[4,8,3,2,6,1,5,7]=>[7,5,1,6,2,3,8,4]
[3,5,2,8,1,6,4,7]=>[7,4,6,1,8,2,5,3]
[3,2,1,6,8,5,4,7]=>[7,4,5,8,6,1,2,3]
[3,2,7,1,5,4,8,6]=>[6,8,4,5,1,7,2,3]
[3,2,7,1,5,8,6,4]=>[4,6,8,5,1,7,2,3]
[3,8,2,5,1,6,7,4]=>[4,7,6,1,5,2,8,3]
[4,8,3,2,6,7,1,5]=>[5,1,7,6,2,3,8,4]
[4,3,8,2,6,7,1,5]=>[5,1,7,6,2,8,3,4]
[4,3,2,6,7,8,1,5]=>[5,1,8,7,6,2,3,4]
[4,3,2,6,7,1,5,8]=>[8,5,1,7,6,2,3,4]
[4,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,4]
[4,3,7,8,2,6,1,5]=>[5,1,6,2,8,7,3,4]
[2,5,7,4,8,1,6,3]=>[3,6,1,8,4,7,5,2]
[3,2,5,7,8,1,6,4]=>[4,6,1,8,7,5,2,3]
[3,2,5,7,1,6,8,4]=>[4,8,6,1,7,5,2,3]
[3,2,5,7,1,6,4,8]=>[8,4,6,1,7,5,2,3]
[6,3,2,7,1,5,4,8]=>[8,4,5,1,7,2,3,6]
[6,3,2,7,1,5,8,4]=>[4,8,5,1,7,2,3,6]
[6,3,2,7,8,1,5,4]=>[4,5,1,8,7,2,3,6]
[4,2,6,1,7,8,5,3]=>[3,5,8,7,1,6,2,4]
[6,5,2,1,7,8,4,3]=>[3,4,8,7,1,2,5,6]
[2,1,7,5,3,8,6,4]=>[4,6,8,3,5,7,1,2]
[6,2,1,8,5,3,7,4]=>[4,7,3,5,8,1,2,6]
[6,3,2,7,1,4,8,5]=>[5,8,4,1,7,2,3,6]
[6,3,2,1,4,7,8,5]=>[5,8,7,4,1,2,3,6]
[6,3,2,1,4,7,5,8]=>[8,5,7,4,1,2,3,6]
[3,5,2,1,7,4,6,8]=>[8,6,4,7,1,2,5,3]
[3,5,2,1,7,8,4,6]=>[6,4,8,7,1,2,5,3]
[5,8,4,2,1,7,3,6]=>[6,3,7,1,2,4,8,5]
[4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]
[2,4,1,7,3,8,6,5]=>[5,6,8,3,7,1,4,2]
[3,2,7,1,4,8,6,5]=>[5,6,8,4,1,7,2,3]
[3,5,8,2,1,7,4,6]=>[6,4,7,1,2,8,5,3]
[4,8,3,7,2,1,5,6]=>[6,5,1,2,7,3,8,4]
[4,3,7,2,8,1,5,6]=>[6,5,1,8,2,7,3,4]
[4,3,7,2,1,5,6,8]=>[8,6,5,1,2,7,3,4]
[4,8,3,2,7,1,5,6]=>[6,5,1,7,2,3,8,4]
[3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]
[6,3,2,8,1,4,7,5]=>[5,7,4,1,8,2,3,6]
[3,2,1,4,7,5,8,6]=>[6,8,5,7,4,1,2,3]
[5,3,2,1,8,4,6,7]=>[7,6,4,8,1,2,3,5]
[4,8,3,2,1,5,6,7]=>[7,6,5,1,2,3,8,4]
[4,3,8,2,1,5,6,7]=>[7,6,5,1,2,8,3,4]
[6,2,3,1,5,4,8,7]=>[7,8,4,5,1,3,2,6]
[8,4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4,8]
[8,6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6,8]
[8,2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2,8]
[6,2,5,3,4,1,8,7]=>[7,8,1,4,3,5,2,6]
[6,1,5,2,4,3,8,7]=>[7,8,3,4,2,5,1,6]
[6,4,5,1,3,2,8,7]=>[7,8,2,3,1,5,4,6]
[6,1,5,3,4,2,8,7]=>[7,8,2,4,3,5,1,6]
[6,3,5,1,4,2,8,7]=>[7,8,2,4,1,5,3,6]
[8,3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3,8]
[8,3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3,8]
[8,3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3,8]
[8,3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3,8]
[8,1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1,8]
[8,4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4,8]
[2,1,8,4,5,3,7,6]=>[6,7,3,5,4,8,1,2]
[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]
[8,6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6,8]
[8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]
[8,3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3,8]
[8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]
[8,3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3,8]
[8,3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3,8]
[8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]
[8,1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1,8]
[8,1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1,8]
[8,4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4,8]
[2,1,8,4,7,5,6,3]=>[3,6,5,7,4,8,1,2]
[8,1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1,8]
[8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]
[8,3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3,8]
[8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]
[8,2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2,8]
[8,2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2,8]
[8,2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2,8]
[8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]
[8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]
[2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]
[8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]
[8,2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2,8]
[8,2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2,8]
[8,2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2,8]
[8,4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4,8]
[8,4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4,8]
[8,2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2,8]
[8,2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2,8]
[4,2,3,1,8,5,7,6]=>[6,7,5,8,1,3,2,4]
[4,1,3,2,8,6,7,5]=>[5,7,6,8,2,3,1,4]
[8,6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6,8]
[8,2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2,8]
[8,5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5,8]
[8,5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5,8]
[8,2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2,8]
[8,6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6,8]
[8,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,8]
[8,6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6,8]
[2,1,8,6,7,3,5,4]=>[4,5,3,7,6,8,1,2]
[2,1,8,3,7,5,6,4]=>[4,6,5,7,3,8,1,2]
[8,1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1,8]
[8,1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1,8]
[8,1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1,8]
[8,2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2,8]
[8,2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2,8]
[8,2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2,8]
[8,4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4,8]
[8,4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4,8]
[8,4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4,8]
[8,1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1,8]
[8,5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5,8]
[2,1,8,5,7,3,6,4]=>[4,6,3,7,5,8,1,2]
[8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]
[8,5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5,8]
[8,1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1,8]
[8,4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4,8]
[8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8]
[2,4,8,3,6,1,7,5]=>[5,7,1,6,3,8,4,2]
[6,5,8,1,3,2,7,4]=>[4,7,2,3,1,8,5,6]
[4,5,8,6,3,2,7,1]=>[1,7,2,3,6,8,5,4]
[6,5,8,7,3,1,2,4]=>[4,2,1,3,7,8,5,6]
[1,5,8,7,3,6,2,4]=>[4,2,6,3,7,8,5,1]
[1,7,2,8,4,6,5,3]=>[3,5,6,4,8,2,7,1]
[6,7,2,8,4,1,5,3]=>[3,5,1,4,8,2,7,6]
[3,6,2,8,4,5,7,1]=>[1,7,5,4,8,2,6,3]
[2,6,1,8,4,5,7,3]=>[3,7,5,4,8,1,6,2]
[2,8,4,6,1,5,7,3]=>[3,7,5,1,6,4,8,2]
[6,3,1,8,4,5,7,2]=>[2,7,5,4,8,1,3,6]
[3,1,6,8,4,5,7,2]=>[2,7,5,4,8,6,1,3]
[2,3,6,8,4,5,7,1]=>[1,7,5,4,8,6,3,2]
[6,3,7,8,4,1,5,2]=>[2,5,1,4,8,7,3,6]
[1,3,7,8,4,6,5,2]=>[2,5,6,4,8,7,3,1]
[1,5,7,8,2,4,6,3]=>[3,6,4,2,8,7,5,1]
[5,1,7,8,2,4,6,3]=>[3,6,4,2,8,7,1,5]
[3,6,7,8,4,2,5,1]=>[1,5,2,4,8,7,6,3]
[7,6,1,8,4,2,5,3]=>[3,5,2,4,8,1,6,7]
[5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]
[2,8,3,7,1,6,5,4]=>[4,5,6,1,7,3,8,2]
[5,2,8,7,3,6,1,4]=>[4,1,6,3,7,8,2,5]
[7,2,1,8,4,6,5,3]=>[3,5,6,4,8,1,2,7]
[3,2,7,8,4,6,5,1]=>[1,5,6,4,8,7,2,3]
[5,2,7,8,1,4,6,3]=>[3,6,4,1,8,7,2,5]
[1,2,7,8,5,4,6,3]=>[3,6,4,5,8,7,2,1]
[4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]
[7,2,5,8,3,4,6,1]=>[1,6,4,3,8,5,2,7]
[6,2,8,5,4,3,1,7]=>[7,1,3,4,5,8,2,6]
[2,8,3,5,4,1,6,7]=>[7,6,1,4,5,3,8,2]
[2,8,4,5,3,1,6,7]=>[7,6,1,3,5,4,8,2]
[6,4,8,5,2,3,1,7]=>[7,1,3,2,5,8,4,6]
[7,3,5,8,2,4,6,1]=>[1,6,4,2,8,5,3,7]
[4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]
[3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]
[2,7,6,8,4,3,5,1]=>[1,5,3,4,8,6,7,2]
[5,7,1,8,3,4,6,2]=>[2,6,4,3,8,1,7,5]
[3,7,5,8,1,4,6,2]=>[2,6,4,1,8,5,7,3]
[1,7,5,8,3,4,6,2]=>[2,6,4,3,8,5,7,1]
[1,6,8,5,4,3,2,7]=>[7,2,3,4,5,8,6,1]
[4,6,8,5,1,3,2,7]=>[7,2,3,1,5,8,6,4]
[5,6,8,1,4,3,2,7]=>[7,2,3,4,1,8,6,5]
[7,5,8,6,3,4,2,1]=>[1,2,4,3,6,8,5,7]
[2,4,8,3,6,5,1,7]=>[7,1,5,6,3,8,4,2]
[2,8,4,1,5,6,3,7]=>[7,3,6,5,1,4,8,2]
[4,1,8,3,5,6,2,7]=>[7,2,6,5,3,8,1,4]
[5,6,8,4,1,3,2,7]=>[7,2,3,1,4,8,6,5]
[4,6,8,1,5,3,2,7]=>[7,2,3,5,1,8,6,4]
[1,6,8,4,5,3,2,7]=>[7,2,3,5,4,8,6,1]
[1,7,3,8,5,4,6,2]=>[2,6,4,5,8,3,7,1]
[3,7,1,8,5,4,6,2]=>[2,6,4,5,8,1,7,3]
[2,7,3,8,4,6,5,1]=>[1,5,6,4,8,3,7,2]
[7,1,3,8,4,6,5,2]=>[2,5,6,4,8,3,1,7]
[5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]
[2,8,7,4,1,6,5,3]=>[3,5,6,1,4,7,8,2]
[2,8,5,4,3,1,6,7]=>[7,6,1,3,4,5,8,2]
[6,5,8,4,2,3,1,7]=>[7,1,3,2,4,8,5,6]
[4,1,3,2,8,5,6,7]=>[7,6,5,8,2,3,1,4]
[1,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,1]
[7,3,2,8,5,4,6,1]=>[1,6,4,5,8,2,3,7]
[6,4,8,2,5,3,1,7]=>[7,1,3,5,2,8,4,6]
[2,8,4,3,5,1,6,7]=>[7,6,1,5,3,4,8,2]
[2,8,3,4,5,1,6,7]=>[7,6,1,5,4,3,8,2]
[6,2,8,4,5,3,1,7]=>[7,1,3,5,4,8,2,6]
[7,2,3,8,5,4,6,1]=>[1,6,4,5,8,3,2,7]
[4,2,3,1,8,5,6,7]=>[7,6,5,8,1,3,2,4]
[3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]
[5,1,3,2,4,8,6,7]=>[7,6,8,4,2,3,1,5]
[2,8,1,5,3,4,7,6]=>[6,7,4,3,5,1,8,2]
[1,2,8,4,5,3,7,6]=>[6,7,3,5,4,8,2,1]
[1,4,2,8,5,3,6,7]=>[7,6,3,5,8,2,4,1]
[1,8,4,2,5,3,6,7]=>[7,6,3,5,2,4,8,1]
[8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]
[3,8,1,5,2,4,6,7]=>[7,6,4,2,5,1,8,3]
[3,5,1,4,8,2,6,7]=>[7,6,2,8,4,1,5,3]
[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]
[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]
[1,2,5,4,3,8,6,7]=>[7,6,8,3,4,5,2,1]
[1,2,4,8,5,3,7,6]=>[6,7,3,5,8,4,2,1]
[1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]
[1,5,2,7,8,4,3,6]=>[6,3,4,8,7,2,5,1]
[5,1,2,7,4,8,3,6]=>[6,3,8,4,7,2,1,5]
[8,3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3,8]
[2,8,1,5,4,7,3,6]=>[6,3,7,4,5,1,8,2]
[1,2,8,5,7,4,3,6]=>[6,3,4,7,5,8,2,1]
[1,2,4,8,7,5,3,6]=>[6,3,5,7,8,4,2,1]
[2,8,1,4,3,7,6,5]=>[5,6,7,3,4,1,8,2]
[6,1,2,8,7,4,3,5]=>[5,3,4,7,8,2,1,6]
[6,4,1,2,8,7,3,5]=>[5,3,7,8,2,1,4,6]
[3,6,4,8,1,7,2,5]=>[5,2,7,1,8,4,6,3]
[7,6,1,4,2,8,3,5]=>[5,3,8,2,4,1,6,7]
[7,1,6,2,8,4,3,5]=>[5,3,4,8,2,6,1,7]
[1,6,7,2,8,4,3,5]=>[5,3,4,8,2,7,6,1]
[6,7,1,4,2,8,3,5]=>[5,3,8,2,4,1,7,6]
[6,3,7,1,4,8,2,5]=>[5,2,8,4,1,7,3,6]
[3,7,8,1,5,2,4,6]=>[6,4,2,5,1,8,7,3]
[7,1,2,8,5,3,4,6]=>[6,4,3,5,8,2,1,7]
[1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]
[1,4,2,7,8,5,3,6]=>[6,3,5,8,7,2,4,1]
[6,1,2,8,4,3,7,5]=>[5,7,3,4,8,2,1,6]
[6,4,1,2,8,3,7,5]=>[5,7,3,8,2,1,4,6]
[7,6,1,3,2,4,8,5]=>[5,8,4,2,3,1,6,7]
[6,7,1,3,2,4,8,5]=>[5,8,4,2,3,1,7,6]
[1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]
[1,2,7,5,8,3,4,6]=>[6,4,3,8,5,7,2,1]
[5,8,1,3,7,2,4,6]=>[6,4,2,7,3,1,8,5]
[1,2,5,8,7,3,4,6]=>[6,4,3,7,8,5,2,1]
[1,2,5,8,3,7,4,6]=>[6,4,7,3,8,5,2,1]
[2,8,1,7,3,5,4,6]=>[6,4,5,3,7,1,8,2]
[8,6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6,8]
[4,2,8,1,7,3,6,5]=>[5,6,3,7,1,8,2,4]
[2,8,1,7,4,3,6,5]=>[5,6,3,4,7,1,8,2]
[7,1,2,8,4,3,6,5]=>[5,6,3,4,8,2,1,7]
[1,2,8,4,7,5,3,6]=>[6,3,5,7,4,8,2,1]
[1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]
[2,8,1,7,5,3,4,6]=>[6,4,3,5,7,1,8,2]
[8,3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3,8]
[3,8,6,1,4,7,2,5]=>[5,2,7,4,1,6,8,3]
[8,6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6,8]
[8,1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1,8]
[7,1,2,8,6,4,3,5]=>[5,3,4,6,8,2,1,7]
[7,4,1,2,8,6,3,5]=>[5,3,6,8,2,1,4,7]
[3,7,4,8,1,6,2,5]=>[5,2,6,1,8,4,7,3]
[3,4,8,7,1,6,2,5]=>[5,2,6,1,7,8,4,3]
[4,2,8,1,7,6,3,5]=>[5,3,6,7,1,8,2,4]
[2,8,1,7,6,4,3,5]=>[5,3,4,6,7,1,8,2]
[7,8,3,4,1,5,2,6]=>[6,2,5,1,4,3,8,7]
[7,8,3,4,1,6,2,5]=>[5,2,6,1,4,3,8,7]
[6,8,3,4,1,7,2,5]=>[5,2,7,1,4,3,8,6]
[6,7,3,4,1,8,2,5]=>[5,2,8,1,4,3,7,6]
[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]
[5,8,3,4,1,7,2,6]=>[6,2,7,1,4,3,8,5]
[5,8,3,4,1,6,2,7]=>[7,2,6,1,4,3,8,5]
[6,8,3,4,1,5,2,7]=>[7,2,5,1,4,3,8,6]
[6,7,3,4,1,5,2,8]=>[8,2,5,1,4,3,7,6]
[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]
[5,6,2,8,3,4,1,7]=>[7,1,4,3,8,2,6,5]
[5,6,2,7,3,4,1,8]=>[8,1,4,3,7,2,6,5]
[4,6,2,8,3,5,1,7]=>[7,1,5,3,8,2,6,4]
[4,7,3,5,1,6,2,8]=>[8,2,6,1,5,3,7,4]
[4,8,3,5,1,6,2,7]=>[7,2,6,1,5,3,8,4]
[4,8,3,5,1,7,2,6]=>[6,2,7,1,5,3,8,4]
[4,7,3,5,1,8,2,6]=>[6,2,8,1,5,3,7,4]
[5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]
[5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]
[5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]
[4,6,2,5,1,7,3,8]=>[8,3,7,1,5,2,6,4]
[4,6,2,5,1,8,3,7]=>[7,3,8,1,5,2,6,4]
[4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]
[4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]
[4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]
[5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]
[5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]
[5,6,3,8,4,7,1,2]=>[2,1,7,4,8,3,6,5]
[5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]
[5,6,2,8,3,7,1,4]=>[4,1,7,3,8,2,6,5]
[4,6,2,8,3,7,1,5]=>[5,1,7,3,8,2,6,4]
[4,5,1,8,3,6,2,7]=>[7,2,6,3,8,1,5,4]
[6,5,3,2,1,4,8,7]=>[7,8,4,1,2,3,5,6]
[4,6,3,5,2,1,8,7]=>[7,8,1,2,5,3,6,4]
[8,7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7,8]
[6,8,2,4,5,7,3,1]=>[1,3,7,5,4,2,8,6]
[8,7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7,8]
[3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]
[8,3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3,8]
[6,3,8,4,5,7,2,1]=>[1,2,7,5,4,8,3,6]
[5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]
[2,8,7,4,3,6,1,5]=>[5,1,6,3,4,7,8,2]
[8,1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1,8]
[8,7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7,8]
[2,1,6,8,5,7,4,3]=>[3,4,7,5,8,6,1,2]
[6,8,3,5,1,7,4,2]=>[2,4,7,1,5,3,8,6]
[5,1,8,4,7,6,3,2]=>[2,3,6,7,4,8,1,5]
[2,5,8,4,7,6,3,1]=>[1,3,6,7,4,8,5,2]
[4,3,8,1,5,6,7,2]=>[2,7,6,5,1,8,3,4]
[4,8,1,3,5,6,7,2]=>[2,7,6,5,3,1,8,4]
[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]
[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]
[4,8,3,6,1,2,7,5]=>[5,7,2,1,6,3,8,4]
[3,8,7,4,1,6,2,5]=>[5,2,6,1,4,7,8,3]
[3,8,1,2,5,6,7,4]=>[4,7,6,5,2,1,8,3]
[8,7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7,8]
[8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]
[8,1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1,8]
[2,8,7,4,5,1,3,6]=>[6,3,1,5,4,7,8,2]
[8,7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7,8]
[5,8,3,6,2,4,7,1]=>[1,7,4,2,6,3,8,5]
[8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]
[8,7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7,8]
[5,8,3,6,2,1,7,4]=>[4,7,1,2,6,3,8,5]
[5,8,7,4,2,6,1,3]=>[3,1,6,2,4,7,8,5]
[2,6,8,4,5,7,1,3]=>[3,1,7,5,4,8,6,2]
[6,1,8,4,5,7,2,3]=>[3,2,7,5,4,8,1,6]
[6,8,3,5,1,7,2,4]=>[4,2,7,1,5,3,8,6]
[2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]
[5,8,3,6,1,2,7,4]=>[4,7,2,1,6,3,8,5]
[4,1,8,2,5,6,7,3]=>[3,7,6,5,2,8,1,4]
[2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]
[4,8,2,1,5,6,7,3]=>[3,7,6,5,1,2,8,4]
[3,4,8,2,5,6,7,1]=>[1,7,6,5,2,8,4,3]
[5,8,1,4,7,6,2,3]=>[3,2,6,7,4,1,8,5]
[5,8,3,1,6,2,7,4]=>[4,7,2,6,1,3,8,5]
[4,5,3,8,6,1,7,2]=>[2,7,1,6,8,3,5,4]
[3,4,1,8,5,6,7,2]=>[2,7,6,5,8,1,4,3]
[4,5,7,6,2,3,8,1]=>[1,8,3,2,6,7,5,4]
[3,5,7,2,6,4,8,1]=>[1,8,4,6,2,7,5,3]
[2,5,7,3,6,4,8,1]=>[1,8,4,6,3,7,5,2]
[1,5,7,3,6,8,4,2]=>[2,4,8,6,3,7,5,1]
[8,4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4,8]
[6,7,2,3,5,4,8,1]=>[1,8,4,5,3,2,7,6]
[5,2,7,3,6,4,8,1]=>[1,8,4,6,3,7,2,5]
[8,3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3,8]
[8,2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2,8]
[3,1,4,7,6,8,5,2]=>[2,5,8,6,7,4,1,3]
[4,1,3,7,6,8,5,2]=>[2,5,8,6,7,3,1,4]
[5,1,7,3,6,8,4,2]=>[2,4,8,6,3,7,1,5]
[6,7,1,3,5,8,4,2]=>[2,4,8,5,3,1,7,6]
[5,8,7,3,6,1,4,2]=>[2,4,1,6,3,7,8,5]
[4,8,3,7,6,1,5,2]=>[2,5,1,6,7,3,8,4]
[3,8,4,7,6,1,5,2]=>[2,5,1,6,7,4,8,3]
[2,8,4,7,1,6,5,3]=>[3,5,6,1,7,4,8,2]
[8,1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1,8]
[8,1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1,8]
[2,8,3,1,7,6,5,4]=>[4,5,6,7,1,3,8,2]
[3,8,2,1,7,6,5,4]=>[4,5,6,7,1,2,8,3]
[6,7,1,2,8,5,4,3]=>[3,4,5,8,2,1,7,6]
[8,2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2,8]
[8,3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3,8]
[3,4,1,7,6,8,5,2]=>[2,5,8,6,7,1,4,3]
[1,4,2,7,8,6,5,3]=>[3,5,6,8,7,2,4,1]
[8,4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4,8]
[8,5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5,8]
[1,5,7,2,8,6,4,3]=>[3,4,6,8,2,7,5,1]
[2,5,7,1,8,6,4,3]=>[3,4,6,8,1,7,5,2]
[3,5,7,1,6,8,4,2]=>[2,4,8,6,1,7,5,3]
[6,7,4,5,8,1,3,2]=>[2,3,1,8,5,4,7,6]
[5,4,7,6,8,1,3,2]=>[2,3,1,8,6,7,4,5]
[2,5,7,8,1,6,4,3]=>[3,4,6,1,8,7,5,2]
[1,5,7,8,2,6,4,3]=>[3,4,6,2,8,7,5,1]
[8,5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5,8]
[8,4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4,8]
[1,4,8,7,2,6,5,3]=>[3,5,6,2,7,8,4,1]
[3,4,8,7,6,1,5,2]=>[2,5,1,6,7,8,4,3]
[4,3,8,7,6,1,5,2]=>[2,5,1,6,7,8,3,4]
[5,3,7,8,6,1,4,2]=>[2,4,1,6,8,7,3,5]
[6,7,2,8,1,5,4,3]=>[3,4,5,1,8,2,7,6]
[5,2,7,8,1,6,4,3]=>[3,4,6,1,8,7,2,5]
[4,2,8,7,1,6,5,3]=>[3,5,6,1,7,8,2,4]
[3,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,3]
[1,3,8,2,7,6,5,4]=>[4,5,6,7,2,8,3,1]
[8,3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3,8]
[8,2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2,8]
[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]
[2,1,8,3,7,6,5,4]=>[4,5,6,7,3,8,1,2]
[5,1,7,8,2,6,4,3]=>[3,4,6,2,8,7,1,5]
[6,7,1,8,2,5,4,3]=>[3,4,5,2,8,1,7,6]
[5,8,7,1,2,6,4,3]=>[3,4,6,2,1,7,8,5]
[4,8,1,7,2,6,5,3]=>[3,5,6,2,7,1,8,4]
[3,8,1,2,7,6,5,4]=>[4,5,6,7,2,1,8,3]
[2,8,1,3,7,6,5,4]=>[4,5,6,7,3,1,8,2]
[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]
[8,1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1,8]
[6,7,1,8,4,5,2,3]=>[3,2,5,4,8,1,7,6]
[3,7,1,5,8,2,6,4]=>[4,6,2,8,5,1,7,3]
[2,6,5,1,8,3,7,4]=>[4,7,3,8,1,5,6,2]
[3,6,5,1,8,2,7,4]=>[4,7,2,8,1,5,6,3]
[4,6,5,1,8,7,2,3]=>[3,2,7,8,1,5,6,4]
[5,6,4,1,8,7,2,3]=>[3,2,7,8,1,4,6,5]
[8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]
[6,4,5,1,8,7,2,3]=>[3,2,7,8,1,5,4,6]
[5,4,6,1,8,7,2,3]=>[3,2,7,8,1,6,4,5]
[4,5,6,1,8,7,2,3]=>[3,2,7,8,1,6,5,4]
[3,5,6,1,8,2,7,4]=>[4,7,2,8,1,6,5,3]
[2,5,6,1,8,3,7,4]=>[4,7,3,8,1,6,5,2]
[2,4,6,1,3,8,7,5]=>[5,7,8,3,1,6,4,2]
[3,4,6,1,2,8,7,5]=>[5,7,8,2,1,6,4,3]
[4,3,6,1,2,8,7,5]=>[5,7,8,2,1,6,3,4]
[5,3,6,1,8,2,7,4]=>[4,7,2,8,1,6,3,5]
[7,3,1,5,8,2,6,4]=>[4,6,2,8,5,1,3,7]
[8,1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1,8]
[8,1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1,8]
[7,2,1,5,8,3,6,4]=>[4,6,3,8,5,1,2,7]
[6,2,5,1,8,3,7,4]=>[4,7,3,8,1,5,2,6]
[4,2,6,1,3,8,7,5]=>[5,7,8,3,1,6,2,4]
[2,3,6,1,4,8,7,5]=>[5,7,8,4,1,6,3,2]
[4,2,5,3,1,8,7,6]=>[6,7,8,1,3,5,2,4]
[6,2,4,1,3,8,7,5]=>[5,7,8,3,1,4,2,6]
[7,2,1,4,3,8,6,5]=>[5,6,8,3,4,1,2,7]
[8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]
[8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]
[7,3,1,4,2,8,6,5]=>[5,6,8,2,4,1,3,7]
[6,3,4,1,2,8,7,5]=>[5,7,8,2,1,4,3,6]
[4,6,3,1,2,8,7,5]=>[5,7,8,2,1,3,6,4]
[3,6,4,1,2,8,7,5]=>[5,7,8,2,1,4,6,3]
[2,6,4,1,3,8,7,5]=>[5,7,8,3,1,4,6,2]
[2,7,1,4,3,8,6,5]=>[5,6,8,3,4,1,7,2]
[3,7,1,4,2,8,6,5]=>[5,6,8,2,4,1,7,3]
[4,7,1,3,2,8,6,5]=>[5,6,8,2,3,1,7,4]
[8,1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1,8]
[4,7,1,2,3,8,6,5]=>[5,6,8,3,2,1,7,4]
[3,7,1,2,4,8,6,5]=>[5,6,8,4,2,1,7,3]
[2,7,1,3,4,8,6,5]=>[5,6,8,4,3,1,7,2]
[2,6,3,1,4,8,7,5]=>[5,7,8,4,1,3,6,2]
[3,6,2,1,4,8,7,5]=>[5,7,8,4,1,2,6,3]
[5,6,2,1,8,3,7,4]=>[4,7,3,8,1,2,6,5]
[6,5,2,1,8,3,7,4]=>[4,7,3,8,1,2,5,6]
[8,1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1,8]
[8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]
[7,4,1,2,3,8,6,5]=>[5,6,8,3,2,1,4,7]
[6,4,2,1,3,8,7,5]=>[5,7,8,3,1,2,4,6]
[5,4,2,3,1,8,7,6]=>[6,7,8,1,3,2,4,5]
[3,5,2,4,1,8,7,6]=>[6,7,8,1,4,2,5,3]
[6,3,2,1,4,8,7,5]=>[5,7,8,4,1,2,3,6]
[7,3,1,2,4,8,6,5]=>[5,6,8,4,2,1,3,7]
[8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]
[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]
[7,2,1,3,4,8,6,5]=>[5,6,8,4,3,1,2,7]
[6,2,3,1,4,8,7,5]=>[5,7,8,4,1,3,2,6]
[2,4,3,6,1,5,8,7]=>[7,8,5,1,6,3,4,2]
[2,4,3,6,5,8,1,7]=>[7,1,8,5,6,3,4,2]
[2,4,6,3,5,8,7,1]=>[1,7,8,5,3,6,4,2]
[2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]
[2,4,6,3,5,1,8,7]=>[7,8,1,5,3,6,4,2]
[2,4,6,3,1,5,8,7]=>[7,8,5,1,3,6,4,2]
[2,4,1,6,5,3,8,7]=>[7,8,3,5,6,1,4,2]
[2,4,6,1,5,3,8,7]=>[7,8,3,5,1,6,4,2]
[4,2,6,5,3,1,8,7]=>[7,8,1,3,5,6,2,4]
[4,2,6,5,1,3,8,7]=>[7,8,3,1,5,6,2,4]
[4,2,6,5,1,8,7,3]=>[3,7,8,1,5,6,2,4]
[4,2,6,5,8,1,7,3]=>[3,7,1,8,5,6,2,4]
[4,2,6,5,8,1,3,7]=>[7,3,1,8,5,6,2,4]
[4,2,6,5,8,3,1,7]=>[7,1,3,8,5,6,2,4]
[2,4,6,1,5,8,3,7]=>[7,3,8,5,1,6,4,2]
[2,4,1,6,5,8,3,7]=>[7,3,8,5,6,1,4,2]
[2,1,4,6,5,8,3,7]=>[7,3,8,5,6,4,1,2]
[2,4,1,6,5,8,7,3]=>[3,7,8,5,6,1,4,2]
[2,4,6,1,5,8,7,3]=>[3,7,8,5,1,6,4,2]
[4,2,6,5,3,8,7,1]=>[1,7,8,3,5,6,2,4]
[4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]
[2,6,4,3,8,7,1,5]=>[5,1,7,8,3,4,6,2]
[2,6,4,3,8,7,5,1]=>[1,5,7,8,3,4,6,2]
[4,2,6,8,5,3,7,1]=>[1,7,3,5,8,6,2,4]
[2,4,6,8,1,5,7,3]=>[3,7,5,1,8,6,4,2]
[2,4,6,1,8,5,7,3]=>[3,7,5,8,1,6,4,2]
[2,4,1,6,8,5,7,3]=>[3,7,5,8,6,1,4,2]
[2,1,4,6,8,5,7,3]=>[3,7,5,8,6,4,1,2]
[2,1,4,6,8,5,3,7]=>[7,3,5,8,6,4,1,2]
[2,4,1,6,8,5,3,7]=>[7,3,5,8,6,1,4,2]
[2,4,6,1,8,5,3,7]=>[7,3,5,8,1,6,4,2]
[2,4,6,8,1,5,3,7]=>[7,3,5,1,8,6,4,2]
[4,2,6,8,5,3,1,7]=>[7,1,3,5,8,6,2,4]
[4,2,6,8,5,1,3,7]=>[7,3,1,5,8,6,2,4]
[4,2,6,8,5,1,7,3]=>[3,7,1,5,8,6,2,4]
[2,4,6,8,3,5,7,1]=>[1,7,5,3,8,6,4,2]
[2,4,6,8,3,5,1,7]=>[7,1,5,3,8,6,4,2]
[2,4,6,8,3,1,5,7]=>[7,5,1,3,8,6,4,2]
[2,4,6,3,1,8,5,7]=>[7,5,8,1,3,6,4,2]
[2,4,6,3,8,1,5,7]=>[7,5,1,8,3,6,4,2]
[2,4,6,3,8,5,1,7]=>[7,1,5,8,3,6,4,2]
[2,4,6,3,8,5,7,1]=>[1,7,5,8,3,6,4,2]
[2,4,3,6,8,5,7,1]=>[1,7,5,8,6,3,4,2]
[2,4,3,6,8,5,1,7]=>[7,1,5,8,6,3,4,2]
[2,4,3,6,8,1,5,7]=>[7,5,1,8,6,3,4,2]
[2,4,3,6,1,8,5,7]=>[7,5,8,1,6,3,4,2]
[2,4,3,1,6,8,5,7]=>[7,5,8,6,1,3,4,2]
[2,4,1,3,6,8,7,5]=>[5,7,8,6,3,1,4,2]
[2,4,3,6,1,8,7,5]=>[5,7,8,1,6,3,4,2]
[2,4,3,6,8,1,7,5]=>[5,7,1,8,6,3,4,2]
[4,6,5,2,8,7,3,1]=>[1,3,7,8,2,5,6,4]
[4,6,5,2,8,7,1,3]=>[3,1,7,8,2,5,6,4]
[4,6,2,5,8,7,1,3]=>[3,1,7,8,5,2,6,4]
[4,6,2,5,8,7,3,1]=>[1,3,7,8,5,2,6,4]
[2,4,6,3,8,1,7,5]=>[5,7,1,8,3,6,4,2]
[2,4,6,3,1,8,7,5]=>[5,7,8,1,3,6,4,2]
[2,4,1,6,3,8,7,5]=>[5,7,8,3,6,1,4,2]
[2,1,4,6,3,8,7,5]=>[5,7,8,3,6,4,1,2]
[2,1,4,6,8,3,7,5]=>[5,7,3,8,6,4,1,2]
[2,4,1,6,8,3,7,5]=>[5,7,3,8,6,1,4,2]
[2,4,6,1,8,3,7,5]=>[5,7,3,8,1,6,4,2]
[2,4,6,8,1,3,7,5]=>[5,7,3,1,8,6,4,2]
[2,4,6,8,3,1,7,5]=>[5,7,1,3,8,6,4,2]
[4,6,2,8,5,7,3,1]=>[1,3,7,5,8,2,6,4]
[4,6,2,8,5,7,1,3]=>[3,1,7,5,8,2,6,4]
[6,2,4,8,7,1,3,5]=>[5,3,1,7,8,4,2,6]
[6,4,2,8,7,5,3,1]=>[1,3,5,7,8,2,4,6]
[2,6,4,8,1,7,5,3]=>[3,5,7,1,8,4,6,2]
[2,6,4,1,8,7,5,3]=>[3,5,7,8,1,4,6,2]
[2,6,1,4,8,7,5,3]=>[3,5,7,8,4,1,6,2]
[2,1,6,4,8,7,5,3]=>[3,5,7,8,4,6,1,2]
[2,1,6,4,8,7,3,5]=>[5,3,7,8,4,6,1,2]
[2,6,1,4,8,7,3,5]=>[5,3,7,8,4,1,6,2]
[2,6,4,1,8,7,3,5]=>[5,3,7,8,1,4,6,2]
[2,6,4,8,1,7,3,5]=>[5,3,7,1,8,4,6,2]
[6,4,2,8,7,5,1,3]=>[3,1,5,7,8,2,4,6]
[6,2,4,8,7,3,5,1]=>[1,5,3,7,8,4,2,6]
[6,2,4,8,7,3,1,5]=>[5,1,3,7,8,4,2,6]
[1,6,4,7,3,8,2,5]=>[5,2,8,3,7,4,6,1]
[1,3,7,4,5,8,2,6]=>[6,2,8,5,4,7,3,1]
[5,2,4,7,3,6,8,1]=>[1,8,6,3,7,4,2,5]
[1,7,6,3,4,8,2,5]=>[5,2,8,4,3,6,7,1]
[8,1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1,8]
[7,1,6,3,8,2,4,5]=>[5,4,2,8,3,6,1,7]
[1,2,7,4,8,3,5,6]=>[6,5,3,8,4,7,2,1]
[6,1,7,3,4,8,2,5]=>[5,2,8,4,3,7,1,6]
[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]
[5,1,4,7,3,8,2,6]=>[6,2,8,3,7,4,1,5]
[4,3,1,7,5,8,2,6]=>[6,2,8,5,7,1,3,4]
[2,8,6,3,7,1,4,5]=>[5,4,1,7,3,6,8,2]
[6,8,1,3,7,2,4,5]=>[5,4,2,7,3,1,8,6]
[5,8,2,1,7,3,4,6]=>[6,4,3,7,1,2,8,5]
[5,7,2,1,8,3,4,6]=>[6,4,3,8,1,2,7,5]
[6,7,1,3,8,2,4,5]=>[5,4,2,8,3,1,7,6]
[5,1,2,4,8,3,6,7]=>[7,6,3,8,4,2,1,5]
[4,3,6,1,5,8,2,7]=>[7,2,8,5,1,6,3,4]
[2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]
[6,5,1,3,4,8,2,7]=>[7,2,8,4,3,1,5,6]
[1,6,2,4,8,3,5,7]=>[7,5,3,8,4,2,6,1]
[8,5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5,8]
[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]
[6,4,2,1,5,8,3,7]=>[7,3,8,5,1,2,4,6]
[2,5,3,4,1,8,6,7]=>[7,6,8,1,4,3,5,2]
[4,3,5,2,1,8,6,7]=>[7,6,8,1,2,5,3,4]
[2,6,4,8,7,1,3,5]=>[5,3,1,7,8,4,6,2]
[1,6,4,8,7,2,3,5]=>[5,3,2,7,8,4,6,1]
[2,7,8,3,6,1,4,5]=>[5,4,1,6,3,8,7,2]
[4,3,2,8,7,1,5,6]=>[6,5,1,7,8,2,3,4]
[5,2,4,8,7,1,3,6]=>[6,3,1,7,8,4,2,5]
[6,2,8,3,7,1,4,5]=>[5,4,1,7,3,8,2,6]
[5,1,4,8,7,2,3,6]=>[6,3,2,7,8,4,1,5]
[4,8,2,5,1,3,7,6]=>[6,7,3,1,5,2,8,4]
[4,7,2,5,1,3,8,6]=>[6,8,3,1,5,2,7,4]
[3,7,2,1,5,4,8,6]=>[6,8,4,5,1,2,7,3]
[3,8,2,1,5,4,7,6]=>[6,7,4,5,1,2,8,3]
[8,3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3,8]
[8,3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3,8]
[8,4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4,8]
[8,3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3,8]
[8,3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3,8]
[3,8,2,1,4,5,7,6]=>[6,7,5,4,1,2,8,3]
[3,7,2,1,4,5,8,6]=>[6,8,5,4,1,2,7,3]
[3,2,7,1,4,6,8,5]=>[5,8,6,4,1,7,2,3]
[3,2,8,1,4,6,7,5]=>[5,7,6,4,1,8,2,3]
[3,2,8,1,4,7,6,5]=>[5,6,7,4,1,8,2,3]
[3,8,2,1,4,7,5,6]=>[6,5,7,4,1,2,8,3]
[3,8,2,1,5,7,4,6]=>[6,4,7,5,1,2,8,3]
[4,8,2,5,1,7,3,6]=>[6,3,7,1,5,2,8,4]
[3,7,2,1,5,8,4,6]=>[6,4,8,5,1,2,7,3]
[3,7,2,1,4,8,5,6]=>[6,5,8,4,1,2,7,3]
[3,2,1,7,5,8,6,4]=>[4,6,8,5,7,1,2,3]
[3,2,7,1,6,8,4,5]=>[5,4,8,6,1,7,2,3]
[4,2,7,6,1,8,3,5]=>[5,3,8,1,6,7,2,4]
[4,3,7,6,8,1,2,5]=>[5,2,1,8,6,7,3,4]
[4,3,8,6,7,1,2,5]=>[5,2,1,7,6,8,3,4]
[4,2,8,6,1,7,3,5]=>[5,3,7,1,6,8,2,4]
[3,2,8,1,6,7,4,5]=>[5,4,7,6,1,8,2,3]
[3,2,1,8,7,5,6,4]=>[4,6,5,7,8,1,2,3]
[3,2,8,1,7,4,6,5]=>[5,6,4,7,1,8,2,3]
[3,2,8,1,6,4,7,5]=>[5,7,4,6,1,8,2,3]
[3,2,7,1,6,4,8,5]=>[5,8,4,6,1,7,2,3]
[4,2,7,6,1,3,8,5]=>[5,8,3,1,6,7,2,4]
[4,2,8,6,1,3,7,5]=>[5,7,3,1,6,8,2,4]
[4,2,8,7,1,3,6,5]=>[5,6,3,1,7,8,2,4]
[5,7,8,3,4,1,2,6]=>[6,2,1,4,3,8,7,5]
[4,2,7,8,1,3,6,5]=>[5,6,3,1,8,7,2,4]
[4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]
[4,2,6,7,1,3,8,5]=>[5,8,3,1,7,6,2,4]
[3,2,6,1,8,4,7,5]=>[5,7,4,8,1,6,2,3]
[3,7,2,1,8,4,5,6]=>[6,5,4,8,1,2,7,3]
[3,7,2,1,8,5,4,6]=>[6,4,5,8,1,2,7,3]
[4,7,3,8,5,1,2,6]=>[6,2,1,5,8,3,7,4]
[4,3,7,8,6,1,2,5]=>[5,2,1,6,8,7,3,4]
[3,2,7,1,8,6,4,5]=>[5,4,6,8,1,7,2,3]
[3,2,1,6,8,5,7,4]=>[4,7,5,8,6,1,2,3]
[3,2,6,1,8,7,4,5]=>[5,4,7,8,1,6,2,3]
[4,2,6,8,1,7,3,5]=>[5,3,7,1,8,6,2,4]
[4,3,6,8,7,1,2,5]=>[5,2,1,7,8,6,3,4]
[4,2,6,7,1,8,3,5]=>[5,3,8,1,7,6,2,4]
[3,2,6,1,7,8,4,5]=>[5,4,8,7,1,6,2,3]
[3,4,6,8,7,5,1,2]=>[2,1,5,7,8,6,4,3]
[5,3,6,4,8,7,1,2]=>[2,1,7,8,4,6,3,5]
[1,4,6,2,7,8,5,3]=>[3,5,8,7,2,6,4,1]
[3,1,8,5,4,2,6,7]=>[7,6,2,4,5,8,1,3]
[1,2,7,5,4,8,6,3]=>[3,6,8,4,5,7,2,1]
[6,3,7,5,4,8,1,2]=>[2,1,8,4,5,7,3,6]
[7,3,8,5,4,6,1,2]=>[2,1,6,4,5,8,3,7]
[3,8,7,5,4,6,1,2]=>[2,1,6,4,5,7,8,3]
[4,3,6,7,8,5,1,2]=>[2,1,5,8,7,6,3,4]
[4,5,6,3,8,7,1,2]=>[2,1,7,8,3,6,5,4]
[3,6,8,5,4,7,1,2]=>[2,1,7,4,5,8,6,3]
[6,8,3,5,4,7,1,2]=>[2,1,7,4,5,3,8,6]
[7,6,3,5,4,8,1,2]=>[2,1,8,4,5,3,6,7]
[1,6,2,5,4,8,7,3]=>[3,7,8,4,5,2,6,1]
[7,1,2,5,8,3,6,4]=>[4,6,3,8,5,2,1,7]
[1,8,2,5,7,3,6,4]=>[4,6,3,7,5,2,8,1]
[6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]
[4,1,6,2,8,7,5,3]=>[3,5,7,8,2,6,1,4]
[7,8,1,2,4,6,5,3]=>[3,5,6,4,2,1,8,7]
[7,8,3,1,4,2,6,5]=>[5,6,2,4,1,3,8,7]
[4,3,6,1,8,2,7,5]=>[5,7,2,8,1,6,3,4]
[2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]
[4,8,1,5,2,3,7,6]=>[6,7,3,2,5,1,8,4]
[7,5,1,6,4,3,2,8]=>[8,2,3,4,6,1,5,7]
[5,8,1,6,4,3,2,7]=>[7,2,3,4,6,1,8,5]
[6,1,5,7,4,3,2,8]=>[8,2,3,4,7,5,1,6]
[1,5,8,6,4,3,2,7]=>[7,2,3,4,6,8,5,1]
[3,4,6,1,5,8,2,7]=>[7,2,8,5,1,6,4,3]
[7,8,4,1,5,3,2,6]=>[6,2,3,5,1,4,8,7]
[7,8,5,1,6,3,2,4]=>[4,2,3,6,1,5,8,7]
[2,6,1,5,7,3,8,4]=>[4,8,3,7,5,1,6,2]
[1,6,8,7,4,3,2,5]=>[5,2,3,4,7,8,6,1]
[6,8,1,7,4,3,2,5]=>[5,2,3,4,7,1,8,6]
[5,6,1,7,4,3,2,8]=>[8,2,3,4,7,1,6,5]
[5,1,7,6,4,3,2,8]=>[8,2,3,4,6,7,1,5]
[6,1,7,8,4,3,2,5]=>[5,2,3,4,8,7,1,6]
[7,1,8,6,4,3,2,5]=>[5,2,3,4,6,8,1,7]
[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]
[2,1,7,5,6,3,8,4]=>[4,8,3,6,5,7,1,2]
[3,1,6,7,5,8,2,4]=>[4,2,8,5,7,6,1,3]
[7,8,1,6,5,3,2,4]=>[4,2,3,5,6,1,8,7]
[7,8,2,1,4,5,6,3]=>[3,6,5,4,1,2,8,7]
[2,8,1,5,4,6,7,3]=>[3,7,6,4,5,1,8,2]
[7,2,1,5,4,6,8,3]=>[3,8,6,4,5,1,2,7]
[1,2,8,5,6,3,7,4]=>[4,7,3,6,5,8,2,1]
[6,1,2,5,7,3,8,4]=>[4,8,3,7,5,2,1,6]
[4,2,1,5,6,3,7,8]=>[8,7,3,6,5,1,2,4]
[4,3,6,1,5,7,2,8]=>[8,2,7,5,1,6,3,4]
[5,1,6,3,7,8,2,4]=>[4,2,8,7,3,6,1,5]
[1,3,6,8,5,7,2,4]=>[4,2,7,5,8,6,3,1]
[2,4,6,3,7,1,8,5]=>[5,8,1,7,3,6,4,2]
[1,3,6,4,8,7,2,5]=>[5,2,7,8,4,6,3,1]
[4,1,6,7,3,8,2,5]=>[5,2,8,3,7,6,1,4]
[5,4,6,1,3,7,2,8]=>[8,2,7,3,1,6,4,5]
[6,4,1,5,2,3,7,8]=>[8,7,3,2,5,1,4,6]
[4,1,7,5,2,3,8,6]=>[6,8,3,2,5,7,1,4]
[1,2,4,5,8,3,7,6]=>[6,7,3,8,5,4,2,1]
[7,2,3,5,4,1,8,6]=>[6,8,1,4,5,3,2,7]
[2,8,3,5,4,1,7,6]=>[6,7,1,4,5,3,8,2]
[4,2,6,3,8,1,7,5]=>[5,7,1,8,3,6,2,4]
[7,8,2,3,4,1,6,5]=>[5,6,1,4,3,2,8,7]
[7,8,1,4,6,3,2,5]=>[5,2,3,6,4,1,8,7]
[3,1,6,4,7,8,2,5]=>[5,2,8,7,4,6,1,3]
[1,8,5,7,4,3,2,6]=>[6,2,3,4,7,5,8,1]
[7,1,5,8,4,3,2,6]=>[6,2,3,4,8,5,1,7]
[5,1,8,7,4,3,2,6]=>[6,2,3,4,7,8,1,5]
[6,5,1,8,4,3,2,7]=>[7,2,3,4,8,1,5,6]
[6,5,7,1,4,3,2,8]=>[8,2,3,4,1,7,5,6]
[7,5,8,1,4,3,2,6]=>[6,2,3,4,1,8,5,7]
[5,8,7,1,4,3,2,6]=>[6,2,3,4,1,7,8,5]
[1,5,7,8,4,3,2,6]=>[6,2,3,4,8,7,5,1]
[2,4,7,5,1,3,8,6]=>[6,8,3,1,5,7,4,2]
[7,8,4,6,1,3,2,5]=>[5,2,3,1,6,4,8,7]
[7,8,5,4,1,3,2,6]=>[6,2,3,1,4,5,8,7]
[3,5,6,4,1,8,2,7]=>[7,2,8,1,4,6,5,3]
[2,6,4,5,1,3,8,7]=>[7,8,3,1,5,4,6,2]
[1,6,5,8,4,3,2,7]=>[7,2,3,4,8,5,6,1]
[6,8,5,1,4,3,2,7]=>[7,2,3,4,1,5,8,6]
[7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]
[3,4,6,2,7,1,5,8]=>[8,5,1,7,2,6,4,3]
[3,6,2,5,4,1,7,8]=>[8,7,1,4,5,2,6,3]
[3,2,7,5,4,1,6,8]=>[8,6,1,4,5,7,2,3]
[4,3,6,2,8,1,5,7]=>[7,5,1,8,2,6,3,4]
[6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]
[6,2,4,5,1,3,7,8]=>[8,7,3,1,5,4,2,6]
[4,2,8,5,1,3,7,6]=>[6,7,3,1,5,8,2,4]
[4,3,6,8,1,7,2,5]=>[5,2,7,1,8,6,3,4]
[5,3,6,4,1,7,2,8]=>[8,2,7,1,4,6,3,5]
[6,2,1,5,8,3,7,4]=>[4,7,3,8,5,1,2,6]
[1,6,7,4,8,3,5,2]=>[2,5,3,8,4,7,6,1]
[1,4,6,3,7,5,8,2]=>[2,8,5,7,3,6,4,1]
[4,6,7,2,5,8,1,3]=>[3,1,8,5,2,7,6,4]
[2,4,6,1,7,5,3,8]=>[8,3,5,7,1,6,4,2]
[2,7,5,4,1,6,3,8]=>[8,3,6,1,4,5,7,2]
[7,5,4,6,2,8,1,3]=>[3,1,8,2,6,4,5,7]
[1,7,5,4,3,8,6,2]=>[2,6,8,3,4,5,7,1]
[1,4,6,3,5,8,7,2]=>[2,7,8,5,3,6,4,1]
[1,5,8,4,3,6,7,2]=>[2,7,6,3,4,8,5,1]
[5,4,6,2,7,8,1,3]=>[3,1,8,7,2,6,4,5]
[2,5,4,1,6,7,3,8]=>[8,3,7,6,1,4,5,2]
[5,6,3,2,7,1,4,8]=>[8,4,1,7,2,3,6,5]
[5,6,3,2,7,1,8,4]=>[4,8,1,7,2,3,6,5]
[8,5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5,8]
[5,4,6,2,8,1,7,3]=>[3,7,1,8,2,6,4,5]
[2,4,1,7,8,5,3,6]=>[6,3,5,8,7,1,4,2]
[2,5,4,1,6,3,8,7]=>[7,8,3,6,1,4,5,2]
[5,6,3,2,1,8,4,7]=>[7,4,8,1,2,3,6,5]
[3,5,2,1,6,4,7,8]=>[8,7,4,6,1,2,5,3]
[6,8,4,3,2,1,5,7]=>[7,5,1,2,3,4,8,6]
[5,3,8,2,1,6,4,7]=>[7,4,6,1,2,8,3,5]
[3,7,5,8,2,1,4,6]=>[6,4,1,2,8,5,7,3]
[7,3,2,8,5,1,6,4]=>[4,6,1,5,8,2,3,7]
[8,4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4,8]
[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]
[7,6,4,3,2,1,8,5]=>[5,8,1,2,3,4,6,7]
[7,8,4,3,2,1,6,5]=>[5,6,1,2,3,4,8,7]
[5,4,7,2,1,8,6,3]=>[3,6,8,1,2,7,4,5]
[7,5,8,3,2,6,1,4]=>[4,1,6,2,3,8,5,7]
[5,7,3,2,1,6,8,4]=>[4,8,6,1,2,3,7,5]
[5,7,3,2,1,6,4,8]=>[8,4,6,1,2,3,7,5]
[6,3,7,2,5,1,8,4]=>[4,8,1,5,2,7,3,6]
[6,7,8,3,5,2,1,4]=>[4,1,2,5,3,8,7,6]
[6,2,5,7,8,4,1,3]=>[3,1,4,8,7,5,2,6]
[2,1,5,7,8,6,3,4]=>[4,3,6,8,7,5,1,2]
[3,6,7,2,8,1,4,5]=>[5,4,1,8,2,7,6,3]
[6,3,7,2,8,1,4,5]=>[5,4,1,8,2,7,3,6]
[3,2,6,1,7,4,5,8]=>[8,5,4,7,1,6,2,3]
[3,5,2,1,4,7,6,8]=>[8,6,7,4,1,2,5,3]
[7,3,5,2,1,8,4,6]=>[6,4,8,1,2,5,3,7]
[2,5,4,1,3,7,8,6]=>[6,8,7,3,1,4,5,2]
[2,5,8,4,1,3,7,6]=>[6,7,3,1,4,8,5,2]
[2,4,1,7,8,3,6,5]=>[5,6,3,8,7,1,4,2]
[3,7,2,8,6,1,4,5]=>[5,4,1,6,8,2,7,3]
[3,6,8,2,1,7,4,5]=>[5,4,7,1,2,8,6,3]
[5,3,8,2,1,4,7,6]=>[6,7,4,1,2,8,3,5]
[4,8,7,3,2,1,5,6]=>[6,5,1,2,3,7,8,4]
[4,7,3,2,1,5,6,8]=>[8,6,5,1,2,3,7,4]
[8,4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4,8]
[8,3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3,8]
[7,3,2,8,6,1,4,5]=>[5,4,1,6,8,2,3,7]
[3,5,2,1,4,6,8,7]=>[7,8,6,4,1,2,5,3]
[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]
[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]
[5,4,1,6,3,2,8,7]=>[7,8,2,3,6,1,4,5]
[5,4,1,6,2,3,8,7]=>[7,8,3,2,6,1,4,5]
[5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]
[5,7,1,6,2,8,4,3]=>[3,4,8,2,6,1,7,5]
[2,7,6,5,1,8,3,4]=>[4,3,8,1,5,6,7,2]
[2,7,6,5,1,8,4,3]=>[3,4,8,1,5,6,7,2]
[2,3,6,5,1,4,8,7]=>[7,8,4,1,5,6,3,2]
[2,3,6,4,1,5,8,7]=>[7,8,5,1,4,6,3,2]
[2,3,6,1,5,4,8,7]=>[7,8,4,5,1,6,3,2]
[2,7,6,1,4,8,5,3]=>[3,5,8,4,1,6,7,2]
[2,7,6,1,4,8,3,5]=>[5,3,8,4,1,6,7,2]
[7,3,5,1,8,4,2,6]=>[6,2,4,8,1,5,3,7]
[7,3,5,1,8,6,4,2]=>[2,4,6,8,1,5,3,7]
[2,7,6,1,5,8,4,3]=>[3,4,8,5,1,6,7,2]
[2,7,6,4,1,8,5,3]=>[3,5,8,1,4,6,7,2]
[2,1,7,6,3,8,5,4]=>[4,5,8,3,6,7,1,2]
[2,1,7,6,3,8,4,5]=>[5,4,8,3,6,7,1,2]
[5,7,3,6,2,8,4,1]=>[1,4,8,2,6,3,7,5]
[2,7,6,4,1,8,3,5]=>[5,3,8,1,4,6,7,2]
[7,3,5,1,8,6,2,4]=>[4,2,6,8,1,5,3,7]
[6,3,5,1,8,2,4,7]=>[7,4,2,8,1,5,3,6]
[2,3,4,8,7,6,1,5]=>[5,1,6,7,8,4,3,2]
[2,3,4,8,5,7,1,6]=>[6,1,7,5,8,4,3,2]
[7,3,5,4,8,1,2,6]=>[6,2,1,8,4,5,3,7]
[6,4,3,5,8,7,2,1]=>[1,2,7,8,5,3,4,6]
[2,1,4,5,8,7,3,6]=>[6,3,7,8,5,4,1,2]
[6,4,3,5,8,7,1,2]=>[2,1,7,8,5,3,4,6]
[7,3,5,4,8,1,6,2]=>[2,6,1,8,4,5,3,7]
[2,3,4,8,7,5,6,1]=>[1,6,5,7,8,4,3,2]
[2,3,4,8,7,5,1,6]=>[6,1,5,7,8,4,3,2]
[2,7,6,5,4,8,1,3]=>[3,1,8,4,5,6,7,2]
[7,3,5,6,8,4,1,2]=>[2,1,4,8,6,5,3,7]
[7,3,5,6,8,1,4,2]=>[2,4,1,8,6,5,3,7]
[7,3,5,6,8,1,2,4]=>[4,2,1,8,6,5,3,7]
[6,4,1,5,8,7,2,3]=>[3,2,7,8,5,1,4,6]
[6,4,1,5,8,7,3,2]=>[2,3,7,8,5,1,4,6]
[6,4,1,5,8,3,7,2]=>[2,7,3,8,5,1,4,6]
[5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]
[6,4,1,5,8,3,2,7]=>[7,2,3,8,5,1,4,6]
[7,4,1,5,8,2,3,6]=>[6,3,2,8,5,1,4,7]
[7,4,1,5,8,2,6,3]=>[3,6,2,8,5,1,4,7]
[6,3,5,7,8,2,1,4]=>[4,1,2,8,7,5,3,6]
[6,3,5,7,8,2,4,1]=>[1,4,2,8,7,5,3,6]
[2,7,6,4,5,8,3,1]=>[1,3,8,5,4,6,7,2]
[5,7,3,6,1,8,4,2]=>[2,4,8,1,6,3,7,5]
[2,1,4,5,8,6,3,7]=>[7,3,6,8,5,4,1,2]
[7,3,5,4,8,6,2,1]=>[1,2,6,8,4,5,3,7]
[2,3,4,8,5,6,1,7]=>[7,1,6,5,8,4,3,2]
[2,3,4,8,7,1,6,5]=>[5,6,1,7,8,4,3,2]
[2,3,4,8,1,7,6,5]=>[5,6,7,1,8,4,3,2]
[2,3,4,8,1,6,7,5]=>[5,7,6,1,8,4,3,2]
[2,3,4,8,5,1,7,6]=>[6,7,1,5,8,4,3,2]
[6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]
[7,4,3,5,8,2,1,6]=>[6,1,2,8,5,3,4,7]
[2,1,4,5,8,3,7,6]=>[6,7,3,8,5,4,1,2]
[7,4,3,5,8,2,6,1]=>[1,6,2,8,5,3,4,7]
[6,3,5,4,8,2,1,7]=>[7,1,2,8,4,5,3,6]
[2,3,4,8,5,1,6,7]=>[7,6,1,5,8,4,3,2]
[2,3,4,8,1,6,5,7]=>[7,5,6,1,8,4,3,2]
[2,3,4,8,1,5,7,6]=>[6,7,5,1,8,4,3,2]
[7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]
[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]
[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]
[1,8,5,7,2,6,3,4]=>[4,3,6,2,7,5,8,1]
[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]
[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]
[2,8,6,7,1,5,3,4]=>[4,3,5,1,7,6,8,2]
[2,8,5,7,1,6,3,4]=>[4,3,6,1,7,5,8,2]
[2,8,1,7,5,6,3,4]=>[4,3,6,5,7,1,8,2]
[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]
[1,8,2,7,4,6,3,5]=>[5,3,6,4,7,2,8,1]
[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]
[2,8,4,7,1,6,3,5]=>[5,3,6,1,7,4,8,2]
[4,8,2,7,1,6,3,5]=>[5,3,6,1,7,2,8,4]
[4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]
[1,8,4,7,2,6,3,5]=>[5,3,6,2,7,4,8,1]
[4,8,1,7,5,6,2,3]=>[3,2,6,5,7,1,8,4]
[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]
[1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]
[3,8,1,7,5,6,2,4]=>[4,2,6,5,7,1,8,3]
[3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]
[1,8,3,7,4,6,2,5]=>[5,2,6,4,7,3,8,1]
[1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]
[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]
[3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]
[3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]
[3,8,2,7,5,6,1,4]=>[4,1,6,5,7,2,8,3]
[4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]
[4,8,3,7,5,6,1,2]=>[2,1,6,5,7,3,8,4]
[3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]
[2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]
[2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]
[2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]
[2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]
[2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]
[7,5,2,8,6,4,1,3]=>[3,1,4,6,8,2,5,7]
[7,5,1,8,6,2,3,4]=>[4,3,2,6,8,1,5,7]
[7,4,8,6,1,5,2,3]=>[3,2,5,1,6,8,4,7]
[7,1,8,4,5,2,6,3]=>[3,6,2,5,4,8,1,7]
[6,8,1,7,4,2,5,3]=>[3,5,2,4,7,1,8,6]
[1,6,7,4,2,8,5,3]=>[3,5,8,2,4,7,6,1]
[1,6,7,3,8,5,2,4]=>[4,2,5,8,3,7,6,1]
[7,1,8,3,5,6,2,4]=>[4,2,6,5,3,8,1,7]
[7,3,8,6,2,5,1,4]=>[4,1,5,2,6,8,3,7]
[7,4,2,8,6,1,3,5]=>[5,3,1,6,8,2,4,7]
[7,3,1,8,4,2,5,6]=>[6,5,2,4,8,1,3,7]
[7,2,8,4,1,5,3,6]=>[6,3,5,1,4,8,2,7]
[7,2,8,3,5,1,6,4]=>[4,6,1,5,3,8,2,7]
[7,2,8,3,4,6,1,5]=>[5,1,6,4,3,8,2,7]
[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]
[6,2,3,8,5,7,4,1]=>[1,4,7,5,8,3,2,6]
[6,2,4,8,5,3,1,7]=>[7,1,3,5,8,4,2,6]
[6,3,1,4,8,5,2,7]=>[7,2,5,8,4,1,3,6]
[2,6,3,7,8,5,4,1]=>[1,4,5,8,7,3,6,2]
[2,6,3,7,8,4,5,1]=>[1,5,4,8,7,3,6,2]
[2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]
[2,4,7,3,6,8,5,1]=>[1,5,8,6,3,7,4,2]
[2,5,3,7,8,1,6,4]=>[4,6,1,8,7,3,5,2]
[3,1,5,4,7,8,2,6]=>[6,2,8,7,4,5,1,3]
[5,3,1,4,8,2,6,7]=>[7,6,2,8,4,1,3,5]
[5,2,4,8,6,1,3,7]=>[7,3,1,6,8,4,2,5]
[5,2,3,8,4,6,7,1]=>[1,7,6,4,8,3,2,5]
[4,8,2,3,6,1,7,5]=>[5,7,1,6,3,2,8,4]
[4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]
[1,4,7,8,3,6,2,5]=>[5,2,6,3,8,7,4,1]
[4,8,1,3,6,7,2,5]=>[5,2,7,6,3,1,8,4]
[5,3,8,2,4,7,1,6]=>[6,1,7,4,2,8,3,5]
[5,4,3,8,1,2,7,6]=>[6,7,2,1,8,3,4,5]
[6,4,2,8,1,3,7,5]=>[5,7,3,1,8,2,4,6]
[6,3,8,2,5,1,7,4]=>[4,7,1,5,2,8,3,6]
[6,3,8,1,4,7,2,5]=>[5,2,7,4,1,8,3,6]
[5,8,1,3,6,2,7,4]=>[4,7,2,6,3,1,8,5]
[1,5,7,4,2,6,8,3]=>[3,8,6,2,4,7,5,1]
[5,8,1,4,2,6,3,7]=>[7,3,6,2,4,1,8,5]
[5,8,4,1,2,7,6,3]=>[3,6,7,2,1,4,8,5]
[6,5,1,2,8,7,3,4]=>[4,3,7,8,2,1,5,6]
[6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]
[5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]
[5,2,6,4,1,7,3,8]=>[8,3,7,1,4,6,2,5]
[4,6,1,7,5,2,8,3]=>[3,8,2,5,7,1,6,4]
[4,5,1,7,2,6,3,8]=>[8,3,6,2,7,1,5,4]
[3,5,6,1,2,8,7,4]=>[4,7,8,2,1,6,5,3]
[3,5,7,1,8,6,2,4]=>[4,2,6,8,1,7,5,3]
[3,6,2,7,5,1,8,4]=>[4,8,1,5,7,2,6,3]
[4,2,5,7,1,8,6,3]=>[3,6,8,1,7,5,2,4]
[3,4,7,2,8,6,1,5]=>[5,1,6,8,2,7,4,3]
[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]
[3,4,6,2,8,1,5,7]=>[7,5,1,8,2,6,4,3]
[3,5,2,6,8,1,7,4]=>[4,7,1,8,6,2,5,3]
[4,2,5,6,1,3,8,7]=>[7,8,3,1,6,5,2,4]
[4,3,1,2,5,6,8,7]=>[7,8,6,5,2,1,3,4]
[5,3,6,8,4,7,2,1]=>[1,2,7,4,8,6,3,5]
[3,7,2,5,4,8,6,1]=>[1,6,8,4,5,2,7,3]
[8,4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4,8]
[4,7,2,5,8,3,6,1]=>[1,6,3,8,5,2,7,4]
[5,2,6,8,4,3,7,1]=>[1,7,3,4,8,6,2,5]
[3,1,6,5,4,8,2,7]=>[7,2,8,4,5,6,1,3]
[4,1,6,5,8,3,2,7]=>[7,2,3,8,5,6,1,4]
[5,1,6,8,4,3,2,7]=>[7,2,3,4,8,6,1,5]
[8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8]
[5,7,1,8,4,3,2,6]=>[6,2,3,4,8,1,7,5]
[2,7,1,5,4,3,8,6]=>[6,8,3,4,5,1,7,2]
[8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]
[8,4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4,8]
[8,5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5,8]
[8,4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4,8]
[8,3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3,8]
[2,7,6,1,4,3,8,5]=>[5,8,3,4,1,6,7,2]
[6,7,8,5,1,3,2,4]=>[4,2,3,1,5,8,7,6]
[5,7,6,8,2,3,4,1]=>[1,4,3,2,8,6,7,5]
[5,7,2,8,4,3,6,1]=>[1,6,3,4,8,2,7,5]
[6,7,8,2,4,3,5,1]=>[1,5,3,4,2,8,7,6]
[4,7,6,2,8,3,5,1]=>[1,5,3,8,2,6,7,4]
[8,3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3,8]
[3,7,6,2,4,8,5,1]=>[1,5,8,4,2,6,7,3]
[5,7,3,8,4,6,2,1]=>[1,2,6,4,8,3,7,5]
[4,7,3,5,8,6,2,1]=>[1,2,6,8,5,3,7,4]
[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]
[8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]
[8,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,8]
[8,7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7,8]
[8,7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7,8]
[8,2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2,8]
[8,4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4,8]
[5,7,6,8,4,1,2,3]=>[3,2,1,4,8,6,7,5]
[4,7,6,5,8,1,2,3]=>[3,2,1,8,5,6,7,4]
[3,7,6,5,1,8,2,4]=>[4,2,8,1,5,6,7,3]
[3,6,4,8,7,5,1,2]=>[2,1,5,7,8,4,6,3]
[5,6,4,3,8,7,1,2]=>[2,1,7,8,3,4,6,5]
[1,6,2,4,7,8,5,3]=>[3,5,8,7,4,2,6,1]
[3,6,2,4,8,1,5,7]=>[7,5,1,8,4,2,6,3]
[3,4,7,2,8,1,6,5]=>[5,6,1,8,2,7,4,3]
[1,4,7,2,5,8,6,3]=>[3,6,8,5,2,7,4,1]
[7,3,8,4,5,6,1,2]=>[2,1,6,5,4,8,3,7]
[3,5,6,4,8,7,1,2]=>[2,1,7,8,4,6,5,3]
[4,6,8,5,3,7,1,2]=>[2,1,7,3,5,8,6,4]
[6,8,5,3,4,7,1,2]=>[2,1,7,4,3,5,8,6]
[1,6,5,4,2,8,7,3]=>[3,7,8,2,4,5,6,1]
[1,8,5,2,7,3,6,4]=>[4,6,3,7,2,5,8,1]
[4,2,7,5,1,8,6,3]=>[3,6,8,1,5,7,2,4]
[7,8,1,4,2,6,5,3]=>[3,5,6,2,4,1,8,7]
[1,3,6,4,8,2,5,7]=>[7,5,2,8,4,6,3,1]
[4,1,7,5,3,2,6,8]=>[8,6,2,3,5,7,1,4]
[6,5,1,3,4,2,8,7]=>[7,8,2,4,3,1,5,6]
[4,8,5,3,1,7,2,6]=>[6,2,7,1,3,5,8,4]
[7,4,5,3,2,8,1,6]=>[6,1,8,2,3,5,4,7]
[5,8,3,6,1,4,2,7]=>[7,2,4,1,6,3,8,5]
[2,5,8,6,4,1,3,7]=>[7,3,1,4,6,8,5,2]
[1,4,6,2,5,8,3,7]=>[7,3,8,5,2,6,4,1]
[3,6,2,5,8,1,7,4]=>[4,7,1,8,5,2,6,3]
[1,6,8,7,4,2,3,5]=>[5,3,2,4,7,8,6,1]
[6,1,7,8,2,4,3,5]=>[5,3,4,2,8,7,1,6]
[7,1,8,6,3,4,2,5]=>[5,2,4,3,6,8,1,7]
[7,2,1,4,5,6,8,3]=>[3,8,6,5,4,1,2,7]
[1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]
[6,1,3,2,7,5,8,4]=>[4,8,5,7,2,3,1,6]
[1,6,3,8,5,7,2,4]=>[4,2,7,5,8,3,6,1]
[2,6,4,1,7,5,8,3]=>[3,8,5,7,1,4,6,2]
[7,6,5,8,1,4,2,3]=>[3,2,4,1,8,5,6,7]
[5,8,6,7,3,2,1,4]=>[4,1,2,3,7,6,8,5]
[1,6,4,3,7,2,8,5]=>[5,8,2,7,3,4,6,1]
[2,6,3,4,8,7,1,5]=>[5,1,7,8,4,3,6,2]
[7,1,3,4,5,2,8,6]=>[6,8,2,5,4,3,1,7]
[1,8,3,5,4,2,7,6]=>[6,7,2,4,5,3,8,1]
[4,1,6,3,8,2,7,5]=>[5,7,2,8,3,6,1,4]
[7,8,2,4,6,3,1,5]=>[5,1,3,6,4,2,8,7]
[3,2,6,4,7,8,1,5]=>[5,1,8,7,4,6,2,3]
[2,8,5,7,4,3,1,6]=>[6,1,3,4,7,5,8,2]
[7,2,5,8,3,4,1,6]=>[6,1,4,3,8,5,2,7]
[5,3,8,7,1,2,6,4]=>[4,6,2,1,7,8,3,5]
[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]
[7,5,8,4,1,2,3,6]=>[6,3,2,1,4,8,5,7]
[5,8,7,4,1,3,2,6]=>[6,2,3,1,4,7,8,5]
[3,5,7,8,4,1,2,6]=>[6,2,1,4,8,7,5,3]
[1,4,7,5,3,8,2,6]=>[6,2,8,3,5,7,4,1]
[2,4,6,7,3,1,8,5]=>[5,8,1,3,7,6,4,2]
[7,8,4,6,3,1,2,5]=>[5,2,1,3,6,4,8,7]
[2,6,4,5,3,8,1,7]=>[7,1,8,3,5,4,6,2]
[3,6,5,8,4,2,1,7]=>[7,1,2,4,8,5,6,3]
[5,6,8,4,2,3,1,7]=>[7,1,3,2,4,8,6,5]
[6,8,5,4,3,1,2,7]=>[7,2,1,3,4,5,8,6]
[6,1,4,2,8,5,7,3]=>[3,7,5,8,2,4,1,6]
[4,8,6,5,3,2,7,1]=>[1,7,2,3,5,6,8,4]
[8,6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6,8]
[6,7,5,8,2,1,4,3]=>[3,4,1,2,8,5,7,6]
[1,7,5,8,2,6,4,3]=>[3,4,6,2,8,5,7,1]
[1,3,8,5,7,6,2,4]=>[4,2,6,7,5,8,3,1]
[6,3,8,5,7,1,2,4]=>[4,2,1,7,5,8,3,6]
[8,3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3,8]
[6,8,5,2,1,4,7,3]=>[3,7,4,1,2,5,8,6]
[3,8,2,5,6,1,7,4]=>[4,7,1,6,5,2,8,3]
[2,8,1,5,6,3,7,4]=>[4,7,3,6,5,1,8,2]
[8,1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1,8]
[1,8,2,5,7,6,3,4]=>[4,3,6,7,5,2,8,1]
[5,1,8,6,2,7,3,4]=>[4,3,7,2,6,8,1,5]
[2,5,8,6,1,7,3,4]=>[4,3,7,1,6,8,5,2]
[8,6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6,8]
[3,8,6,5,7,1,2,4]=>[4,2,1,7,5,6,8,3]
[7,6,5,8,1,2,4,3]=>[3,4,2,1,8,5,6,7]
[5,1,7,6,8,4,2,3]=>[3,2,4,8,6,7,1,5]
[5,1,3,7,8,6,2,4]=>[4,2,6,8,7,3,1,5]
[7,2,5,8,1,6,4,3]=>[3,4,6,1,8,5,2,7]
[3,2,8,5,7,6,1,4]=>[4,1,6,7,5,8,2,3]
[8,2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2,8]
[5,2,8,6,1,7,3,4]=>[4,3,7,1,6,8,2,5]
[1,2,8,6,5,7,3,4]=>[4,3,7,5,6,8,2,1]
[4,2,1,3,6,7,8,5]=>[5,8,7,6,3,1,2,4]
[8,2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2,8]
[7,2,6,5,4,1,8,3]=>[3,8,1,4,5,6,2,7]
[6,1,3,5,4,7,8,2]=>[2,8,7,4,5,3,1,6]
[6,1,5,3,4,7,8,2]=>[2,8,7,4,3,5,1,6]
[7,5,6,2,4,1,8,3]=>[3,8,1,4,2,6,5,7]
[8,5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5,8]
[4,3,1,2,6,7,8,5]=>[5,8,7,6,2,1,3,4]
[8,1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1,8]
[3,5,8,6,2,7,1,4]=>[4,1,7,2,6,8,5,3]
[5,8,1,6,3,7,2,4]=>[4,2,7,3,6,1,8,5]
[1,8,5,6,3,7,2,4]=>[4,2,7,3,6,5,8,1]
[1,7,6,5,4,2,8,3]=>[3,8,2,4,5,6,7,1]
[5,7,6,1,4,2,8,3]=>[3,8,2,4,1,6,7,5]
[7,1,4,2,6,5,8,3]=>[3,8,5,6,2,4,1,7]
[4,1,7,3,5,6,8,2]=>[2,8,6,5,3,7,1,4]
[2,7,4,1,5,6,8,3]=>[3,8,6,5,1,4,7,2]
[5,7,6,4,1,2,8,3]=>[3,8,2,1,4,6,7,5]
[4,7,6,1,5,2,8,3]=>[3,8,2,5,1,6,7,4]
[1,7,6,4,5,2,8,3]=>[3,8,2,5,4,6,7,1]
[1,8,3,6,5,7,2,4]=>[4,2,7,5,6,3,8,1]
[3,8,1,6,5,7,2,4]=>[4,2,7,5,6,1,8,3]
[8,1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1,8]
[7,8,5,4,1,6,2,3]=>[3,2,6,1,4,5,8,7]
[6,1,5,4,3,7,8,2]=>[2,8,7,3,4,5,1,6]
[7,5,6,4,2,1,8,3]=>[3,8,1,2,4,6,5,7]
[8,3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3,8]
[7,4,6,2,5,1,8,3]=>[3,8,1,5,2,6,4,7]
[6,1,4,3,5,7,8,2]=>[2,8,7,5,3,4,1,6]
[6,1,3,4,5,7,8,2]=>[2,8,7,5,4,3,1,6]
[7,2,6,4,5,1,8,3]=>[3,8,1,5,4,6,2,7]
[8,2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2,8]
[5,4,7,3,6,8,1,2]=>[2,1,8,6,3,7,4,5]
[3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]
[3,4,7,2,5,1,6,8]=>[8,6,1,5,2,7,4,3]
[1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]
[3,6,2,4,7,1,5,8]=>[8,5,1,7,4,2,6,3]
[6,8,3,4,5,7,1,2]=>[2,1,7,5,4,3,8,6]
[4,3,6,7,5,8,1,2]=>[2,1,8,5,7,6,3,4]
[6,3,7,5,8,4,1,2]=>[2,1,4,8,5,7,3,6]
[7,3,8,6,4,5,1,2]=>[2,1,5,4,6,8,3,7]
[3,2,7,6,5,1,4,8]=>[8,4,1,5,6,7,2,3]
[1,2,7,6,5,8,3,4]=>[4,3,8,5,6,7,2,1]
[4,8,2,6,1,5,3,7]=>[7,3,5,1,6,2,8,4]
[2,3,8,6,4,1,5,7]=>[7,5,1,4,6,8,3,2]
[4,3,6,2,5,1,8,7]=>[7,8,1,5,2,6,3,4]
[7,8,3,2,5,1,4,6]=>[6,4,1,5,2,3,8,7]
[7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]
[4,1,6,2,5,7,3,8]=>[8,3,7,5,2,6,1,4]
[6,1,2,5,8,7,3,4]=>[4,3,7,8,5,2,1,6]
[2,1,8,6,4,7,3,5]=>[5,3,7,4,6,8,1,2]
[7,1,3,6,8,4,2,5]=>[5,2,4,8,6,3,1,7]
[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]
[7,1,5,8,3,6,2,4]=>[4,2,6,3,8,5,1,7]
[5,1,8,7,2,3,6,4]=>[4,6,3,2,7,8,1,5]
[6,1,5,7,4,2,8,3]=>[3,8,2,4,7,5,1,6]
[3,1,6,4,7,2,5,8]=>[8,5,2,7,4,6,1,3]
[2,4,7,5,1,8,3,6]=>[6,3,8,1,5,7,4,2]
[6,5,7,1,4,2,3,8]=>[8,3,2,4,1,7,5,6]
[5,6,8,1,3,2,4,7]=>[7,4,2,3,1,8,6,5]
[6,8,5,1,3,4,2,7]=>[7,2,4,3,1,5,8,6]
[2,8,3,4,5,1,7,6]=>[6,7,1,5,4,3,8,2]
[6,2,4,3,1,5,7,8]=>[8,7,5,1,3,4,2,6]
[4,2,8,3,1,7,5,6]=>[6,5,7,1,3,8,2,4]
[1,3,7,4,8,2,5,6]=>[6,5,2,8,4,7,3,1]
[5,3,7,4,1,6,2,8]=>[8,2,6,1,4,7,3,5]
[2,4,7,3,6,1,8,5]=>[5,8,1,6,3,7,4,2]
[5,8,7,6,3,1,2,4]=>[4,2,1,3,6,7,8,5]
[7,5,6,8,1,4,3,2]=>[2,3,4,1,8,6,5,7]
[2,4,7,1,6,5,3,8]=>[8,3,5,6,1,7,4,2]
[1,2,7,8,5,4,3,6]=>[6,3,4,5,8,7,2,1]
[6,3,1,2,8,4,5,7]=>[7,5,4,8,2,1,3,6]
[4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]
[2,8,1,4,5,6,3,7]=>[7,3,6,5,4,1,8,2]
[7,2,1,5,4,6,3,8]=>[8,3,6,4,5,1,2,7]
[4,2,6,1,8,5,3,7]=>[7,3,5,8,1,6,2,4]
[7,8,2,1,4,5,3,6]=>[6,3,5,4,1,2,8,7]
[7,8,4,1,5,3,6,2]=>[2,6,3,5,1,4,8,7]
[3,4,6,1,5,8,7,2]=>[2,7,8,5,1,6,4,3]
[7,5,1,6,4,3,8,2]=>[2,8,3,4,6,1,5,7]
[5,8,1,6,3,4,7,2]=>[2,7,4,3,6,1,8,5]
[6,5,1,8,2,7,4,3]=>[3,4,7,2,8,1,5,6]
[6,8,1,7,5,2,3,4]=>[4,3,2,5,7,1,8,6]
[7,6,1,8,5,3,2,4]=>[4,2,3,5,8,1,6,7]
[5,6,1,7,4,8,2,3]=>[3,2,8,4,7,1,6,5]
[3,6,1,5,7,4,2,8]=>[8,2,4,7,5,1,6,3]
[2,5,6,1,7,4,8,3]=>[3,8,4,7,1,6,5,2]
[3,1,7,5,6,4,8,2]=>[2,8,4,6,5,7,1,3]
[5,1,7,6,4,8,3,2]=>[2,3,8,4,6,7,1,5]
[6,1,7,8,5,3,4,2]=>[2,4,3,5,8,7,1,6]
[7,1,8,6,5,4,2,3]=>[3,2,4,5,6,8,1,7]
[2,6,5,7,3,4,8,1]=>[1,8,4,3,7,5,6,2]
[1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]
[8,5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5,8]
[1,3,7,4,6,8,2,5]=>[5,2,8,6,4,7,3,1]
[4,7,5,6,3,2,8,1]=>[1,8,2,3,6,5,7,4]
[1,7,6,5,4,8,2,3]=>[3,2,8,4,5,6,7,1]
[8,1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1,8]
[1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]
[6,1,7,5,3,8,2,4]=>[4,2,8,3,5,7,1,6]
[2,1,7,5,6,8,3,4]=>[4,3,8,6,5,7,1,2]
[5,4,1,7,6,8,2,3]=>[3,2,8,6,7,1,4,5]
[4,8,5,6,2,7,3,1]=>[1,3,7,2,6,5,8,4]
[3,8,6,4,2,7,5,1]=>[1,5,7,2,4,6,8,3]
[7,8,5,2,4,6,3,1]=>[1,3,6,4,2,5,8,7]
[2,8,6,3,7,4,5,1]=>[1,5,4,7,3,6,8,2]
[7,8,1,6,2,4,5,3]=>[3,5,4,2,6,1,8,7]
[6,8,1,4,7,2,5,3]=>[3,5,2,7,4,1,8,6]
[3,8,4,1,7,2,6,5]=>[5,6,2,7,1,4,8,3]
[5,4,7,1,8,3,2,6]=>[6,2,3,8,1,7,4,5]
[3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]
[6,7,1,4,8,3,2,5]=>[5,2,3,8,4,1,7,6]
[2,7,1,8,4,5,3,6]=>[6,3,5,4,8,1,7,2]
[6,1,2,8,4,3,5,7]=>[7,5,3,4,8,2,1,6]
[6,5,1,4,3,8,2,7]=>[7,2,8,3,4,1,5,6]
[1,6,2,5,8,3,4,7]=>[7,4,3,8,5,2,6,1]
[8,5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5,8]
[8,4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4,8]
[7,4,2,1,8,5,3,6]=>[6,3,5,8,1,2,4,7]
[1,5,4,2,8,3,6,7]=>[7,6,3,8,2,4,5,1]
[6,4,3,1,5,8,2,7]=>[7,2,8,5,1,3,4,6]
[3,7,6,8,4,5,2,1]=>[1,2,5,4,8,6,7,3]
[2,7,6,8,5,3,4,1]=>[1,4,3,5,8,6,7,2]
[1,7,6,8,5,4,2,3]=>[3,2,4,5,8,6,7,1]
[1,4,8,6,7,5,2,3]=>[3,2,5,7,6,8,4,1]
[2,4,8,6,7,3,5,1]=>[1,5,3,7,6,8,4,2]
[7,3,8,5,4,6,2,1]=>[1,2,6,4,5,8,3,7]
[3,4,8,5,6,7,2,1]=>[1,2,7,6,5,8,4,3]
[6,3,5,8,4,7,2,1]=>[1,2,7,4,8,5,3,6]
[5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]
[5,4,2,8,7,3,6,1]=>[1,6,3,7,8,2,4,5]
[6,2,5,8,7,3,4,1]=>[1,4,3,7,8,5,2,6]
[3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]
[1,3,8,7,5,6,2,4]=>[4,2,6,5,7,8,3,1]
[2,1,8,7,4,6,3,5]=>[5,3,6,4,7,8,1,2]
[3,1,8,5,7,6,2,4]=>[4,2,6,7,5,8,1,3]
[6,1,5,8,7,4,2,3]=>[3,2,4,7,8,5,1,6]
[5,4,1,8,7,6,2,3]=>[3,2,6,7,8,1,4,5]
[5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]
[4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]
[4,2,1,6,3,5,8,7]=>[7,8,5,3,6,1,2,4]
[6,2,1,4,3,5,8,7]=>[7,8,5,3,4,1,2,6]
[6,2,1,4,3,8,5,7]=>[7,5,8,3,4,1,2,6]
[8,2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2,8]
[8,2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2,8]
[6,2,4,1,3,8,5,7]=>[7,5,8,3,1,4,2,6]
[6,2,4,1,3,5,8,7]=>[7,8,5,3,1,4,2,6]
[4,2,6,1,3,5,8,7]=>[7,8,5,3,1,6,2,4]
[2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]
[2,6,1,4,3,5,8,7]=>[7,8,5,3,4,1,6,2]
[2,6,4,1,3,5,8,7]=>[7,8,5,3,1,4,6,2]
[4,6,2,1,3,5,8,7]=>[7,8,5,3,1,2,6,4]
[6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6]
[8,4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4,8]
[8,4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4,8]
[6,4,2,1,8,3,5,7]=>[7,5,3,8,1,2,4,6]
[4,6,2,1,8,3,5,7]=>[7,5,3,8,1,2,6,4]
[2,6,1,4,3,8,5,7]=>[7,5,8,3,4,1,6,2]
[2,1,6,4,3,8,5,7]=>[7,5,8,3,4,6,1,2]
[2,1,8,4,3,6,5,7]=>[7,5,6,3,4,8,1,2]
[2,8,1,4,3,6,5,7]=>[7,5,6,3,4,1,8,2]
[2,8,4,1,3,6,5,7]=>[7,5,6,3,1,4,8,2]
[4,8,2,1,3,6,5,7]=>[7,5,6,3,1,2,8,4]
[4,8,2,1,6,3,5,7]=>[7,5,3,6,1,2,8,4]
[6,8,2,1,4,3,5,7]=>[7,5,3,4,1,2,8,6]
[8,6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6,8]
[2,8,1,4,6,3,5,7]=>[7,5,3,6,4,1,8,2]
[2,1,8,4,6,3,5,7]=>[7,5,3,6,4,8,1,2]
[2,1,6,4,8,3,5,7]=>[7,5,3,8,4,6,1,2]
[2,6,1,4,8,3,5,7]=>[7,5,3,8,4,1,6,2]
[2,6,4,1,8,3,5,7]=>[7,5,3,8,1,4,6,2]
[2,6,4,8,1,3,5,7]=>[7,5,3,1,8,4,6,2]
[4,6,2,8,1,3,5,7]=>[7,5,3,1,8,2,6,4]
[4,2,6,1,3,8,5,7]=>[7,5,8,3,1,6,2,4]
[4,2,6,1,8,3,5,7]=>[7,5,3,8,1,6,2,4]
[6,2,4,1,8,3,5,7]=>[7,5,3,8,1,4,2,6]
[8,2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2,8]
[8,2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2,8]
[6,2,1,4,8,3,5,7]=>[7,5,3,8,4,1,2,6]
[4,2,1,6,8,3,5,7]=>[7,5,3,8,6,1,2,4]
[4,2,1,6,3,8,5,7]=>[7,5,8,3,6,1,2,4]
[4,2,1,3,6,8,5,7]=>[7,5,8,6,3,1,2,4]
[2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]
[2,4,1,3,8,6,5,7]=>[7,5,6,8,3,1,4,2]
[4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]
[4,2,1,8,3,6,5,7]=>[7,5,6,3,8,1,2,4]
[4,2,1,8,6,3,5,7]=>[7,5,3,6,8,1,2,4]
[6,2,1,8,4,3,5,7]=>[7,5,3,4,8,1,2,6]
[8,2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2,8]
[8,2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2,8]
[6,2,8,1,4,3,5,7]=>[7,5,3,4,1,8,2,6]
[4,2,8,1,6,3,5,7]=>[7,5,3,6,1,8,2,4]
[4,2,8,1,3,6,5,7]=>[7,5,6,3,1,8,2,4]
[2,4,8,1,3,6,5,7]=>[7,5,6,3,1,8,4,2]
[2,4,1,8,3,6,5,7]=>[7,5,6,3,8,1,4,2]
[2,1,4,8,3,6,5,7]=>[7,5,6,3,8,4,1,2]
[2,1,4,8,6,3,5,7]=>[7,5,3,6,8,4,1,2]
[2,4,8,1,6,3,5,7]=>[7,5,3,6,1,8,4,2]
[2,4,8,6,1,3,5,7]=>[7,5,3,1,6,8,4,2]
[4,2,8,6,1,3,5,7]=>[7,5,3,1,6,8,2,4]
[6,2,8,4,1,3,5,7]=>[7,5,3,1,4,8,2,6]
[8,2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2,8]
[8,4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4,8]
[6,4,8,2,1,3,5,7]=>[7,5,3,1,2,8,4,6]
[4,6,8,2,1,3,5,7]=>[7,5,3,1,2,8,6,4]
[2,6,8,4,1,3,5,7]=>[7,5,3,1,4,8,6,2]
[2,6,8,1,4,3,5,7]=>[7,5,3,4,1,8,6,2]
[2,6,1,8,4,3,5,7]=>[7,5,3,4,8,1,6,2]
[2,1,6,8,4,3,5,7]=>[7,5,3,4,8,6,1,2]
[2,1,8,6,4,3,5,7]=>[7,5,3,4,6,8,1,2]
[2,8,1,6,4,3,5,7]=>[7,5,3,4,6,1,8,2]
[2,8,6,4,1,3,5,7]=>[7,5,3,1,4,6,8,2]
[4,8,6,2,1,3,5,7]=>[7,5,3,1,2,6,8,4]
[6,8,4,2,1,3,5,7]=>[7,5,3,1,2,4,8,6]
[3,2,6,1,5,4,8,7]=>[7,8,4,5,1,6,2,3]
[5,2,4,3,8,1,7,6]=>[6,7,1,8,3,4,2,5]
[6,2,4,1,5,3,8,7]=>[7,8,3,5,1,4,2,6]
[4,3,6,1,5,2,8,7]=>[7,8,2,5,1,6,3,4]
[4,3,5,2,8,1,7,6]=>[6,7,1,8,2,5,3,4]
[4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]
[4,3,8,2,6,1,7,5]=>[5,7,1,6,2,8,3,4]
[4,3,8,1,7,2,6,5]=>[5,6,2,7,1,8,3,4]
[4,3,8,1,5,2,7,6]=>[6,7,2,5,1,8,3,4]
[5,1,8,3,4,2,7,6]=>[6,7,2,4,3,8,1,5]
[5,4,8,1,3,2,7,6]=>[6,7,2,3,1,8,4,5]
[2,1,5,4,8,3,7,6]=>[6,7,3,8,4,5,1,2]
[5,1,7,6,8,3,4,2]=>[2,4,3,8,6,7,1,5]
[4,3,7,6,8,1,5,2]=>[2,5,1,8,6,7,3,4]
[4,3,7,1,8,5,6,2]=>[2,6,5,8,1,7,3,4]
[4,3,6,5,8,1,7,2]=>[2,7,1,8,5,6,3,4]
[6,3,5,4,7,2,8,1]=>[1,8,2,7,4,5,3,6]
[6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]
[7,1,6,3,8,4,5,2]=>[2,5,4,8,3,6,1,7]
[7,4,6,5,8,1,3,2]=>[2,3,1,8,5,6,4,7]
[2,1,8,4,6,3,7,5]=>[5,7,3,6,4,8,1,2]
[8,4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4,8]
[8,1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1,8]
[8,1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1,8]
[8,3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3,8]
[8,3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3,8]
[7,3,5,2,6,4,8,1]=>[1,8,4,6,2,5,3,7]
[8,2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2,8]
[8,2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2,8]
[8,2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2,8]
[8,2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2,8]
[8,2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2,8]
[3,2,8,4,6,1,7,5]=>[5,7,1,6,4,8,2,3]
[3,2,8,1,5,4,7,6]=>[6,7,4,5,1,8,2,3]
[3,2,7,6,8,1,5,4]=>[4,5,1,8,6,7,2,3]
[3,2,7,1,8,5,6,4]=>[4,6,5,8,1,7,2,3]
[3,2,6,5,8,1,7,4]=>[4,7,1,8,5,6,2,3]
[6,5,7,2,4,3,8,1]=>[1,8,3,4,2,7,5,6]
[6,5,8,2,4,1,7,3]=>[3,7,1,4,2,8,5,6]
[7,2,4,1,8,5,6,3]=>[3,6,5,8,1,4,2,7]
[7,6,8,2,4,1,5,3]=>[3,5,1,4,2,8,6,7]
[7,6,8,1,5,2,4,3]=>[3,4,2,5,1,8,6,7]
[2,1,7,3,8,5,6,4]=>[4,6,5,8,3,7,1,2]
[7,1,3,2,8,5,6,4]=>[4,6,5,8,2,3,1,7]
[7,1,8,5,6,2,4,3]=>[3,4,2,6,5,8,1,7]
[7,1,8,2,6,4,5,3]=>[3,5,4,6,2,8,1,7]
[7,2,8,1,5,4,6,3]=>[3,6,4,5,1,8,2,7]
[6,2,7,4,5,3,8,1]=>[1,8,3,5,4,7,2,6]
[5,4,7,2,6,3,8,1]=>[1,8,3,6,2,7,4,5]
[5,4,8,2,6,1,7,3]=>[3,7,1,6,2,8,4,5]
[6,5,8,1,7,2,4,3]=>[3,4,2,7,1,8,5,6]
[2,1,6,5,8,3,7,4]=>[4,7,3,8,5,6,1,2]
[6,5,7,4,8,1,3,2]=>[2,3,1,8,4,7,5,6]
[6,5,7,1,8,3,4,2]=>[2,4,3,8,1,7,5,6]
[6,1,7,4,8,3,5,2]=>[2,5,3,8,4,7,1,6]
[5,4,7,1,8,3,6,2]=>[2,6,3,8,1,7,4,5]
[5,4,6,3,8,1,7,2]=>[2,7,1,8,3,6,4,5]
[2,8,3,1,5,4,6,7]=>[7,6,4,5,1,3,8,2]
[2,5,3,4,7,1,8,6]=>[6,8,1,7,4,3,5,2]
[2,4,8,3,5,7,6,1]=>[1,6,7,5,3,8,4,2]
[4,2,5,3,1,8,6,7]=>[7,6,8,1,3,5,2,4]
[4,2,1,8,5,3,6,7]=>[7,6,3,5,8,1,2,4]
[5,4,1,3,8,2,6,7]=>[7,6,2,8,3,1,4,5]
[5,1,4,8,3,2,6,7]=>[7,6,2,3,8,4,1,5]
[1,5,8,4,3,2,6,7]=>[7,6,2,3,4,8,5,1]
[1,8,5,4,3,2,6,7]=>[7,6,2,3,4,5,8,1]
[1,7,4,3,8,5,2,6]=>[6,2,5,8,3,4,7,1]
[1,5,7,3,8,4,2,6]=>[6,2,4,8,3,7,5,1]
[5,1,4,7,8,3,2,6]=>[6,2,3,8,7,4,1,5]
[4,8,1,5,7,3,6,2]=>[2,6,3,7,5,1,8,4]
[8,1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1,8]
[3,8,4,7,6,5,2,1]=>[1,2,5,6,7,4,8,3]
[1,6,8,5,3,7,4,2]=>[2,4,7,3,5,8,6,1]
[6,8,1,7,4,3,5,2]=>[2,5,3,4,7,1,8,6]
[6,4,8,1,7,3,5,2]=>[2,5,3,7,1,8,4,6]
[6,4,8,7,1,5,2,3]=>[3,2,5,1,7,8,4,6]
[7,6,4,1,3,8,2,5]=>[5,2,8,3,1,4,6,7]
[1,7,5,6,3,2,8,4]=>[4,8,2,3,6,5,7,1]
[4,2,1,7,8,5,3,6]=>[6,3,5,8,7,1,2,4]
[2,7,4,6,3,1,8,5]=>[5,8,1,3,6,4,7,2]
[2,6,8,4,3,7,5,1]=>[1,5,7,3,4,8,6,2]
[6,2,4,8,3,7,5,1]=>[1,5,7,3,8,4,2,6]
[7,2,6,3,4,1,8,5]=>[5,8,1,4,3,6,2,7]
[2,6,7,3,1,4,8,5]=>[5,8,4,1,3,7,6,2]
[2,7,1,8,3,5,4,6]=>[6,4,5,3,8,1,7,2]
[2,1,7,3,5,8,4,6]=>[6,4,8,5,3,7,1,2]
[8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8]
[8,2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2,8]
[7,8,2,6,3,1,5,4]=>[4,5,1,3,6,2,8,7]
[8,7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7,8]
[1,2,8,7,4,5,6,3]=>[3,6,5,4,7,8,2,1]
[8,3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3,8]
[8,6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6,8]
[8,1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1,8]
[1,8,5,2,6,7,4,3]=>[3,4,7,6,2,5,8,1]
[5,2,1,8,6,7,4,3]=>[3,4,7,6,8,1,2,5]
[2,8,5,7,6,4,3,1]=>[1,3,4,6,7,5,8,2]
[1,7,8,5,2,6,4,3]=>[3,4,6,2,5,8,7,1]
[7,8,1,6,4,2,5,3]=>[3,5,2,4,6,1,8,7]
[7,8,6,1,5,3,2,4]=>[4,2,3,5,1,6,8,7]
[7,3,8,6,1,5,2,4]=>[4,2,5,1,6,8,3,7]
[8,7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7,8]
[8,7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7,8]
[8,1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1,8]
[1,8,6,7,5,4,3,2]=>[2,3,4,5,7,6,8,1]
[6,3,5,2,1,4,8,7]=>[7,8,4,1,2,5,3,6]
[6,3,5,7,2,8,4,1]=>[1,4,8,2,7,5,3,6]
[8,5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5,8]
[4,5,3,6,1,2,8,7]=>[7,8,2,1,6,3,5,4]
[3,5,1,4,6,2,8,7]=>[7,8,2,6,4,1,5,3]
[8,3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3,8]
[5,7,4,6,3,8,2,1]=>[1,2,8,3,6,4,7,5]
[2,8,4,6,3,7,1,5]=>[5,1,7,3,6,4,8,2]
[8,1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1,8]
[8,3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3,8]
[8,5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5,8]
[8,5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5,8]
[2,1,8,5,7,4,3,6]=>[6,3,4,7,5,8,1,2]
[6,5,3,7,1,8,4,2]=>[2,4,8,1,7,3,5,6]
[6,5,1,4,7,8,3,2]=>[2,3,8,7,4,1,5,6]
[6,3,4,7,5,8,1,2]=>[2,1,8,5,7,4,3,6]
[5,1,4,6,8,3,7,2]=>[2,7,3,8,6,4,1,5]
[4,7,1,3,5,8,6,2]=>[2,6,8,5,3,1,7,4]
[4,8,3,7,1,2,6,5]=>[5,6,2,1,7,3,8,4]
[3,8,6,4,1,7,2,5]=>[5,2,7,1,4,6,8,3]
[3,8,1,2,5,7,6,4]=>[4,6,7,5,2,1,8,3]
[2,8,7,5,4,1,3,6]=>[6,3,1,4,5,7,8,2]
[8,7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7,8]
[3,8,6,7,4,2,1,5]=>[5,1,2,4,7,6,8,3]
[5,7,6,8,4,2,3,1]=>[1,3,2,4,8,6,7,5]
[5,3,7,8,2,4,6,1]=>[1,6,4,2,8,7,3,5]
[8,3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3,8]
[5,3,7,6,2,1,8,4]=>[4,8,1,2,6,7,3,5]
[5,3,6,2,8,7,1,4]=>[4,1,7,8,2,6,3,5]
[5,7,8,6,4,2,1,3]=>[3,1,2,4,6,8,7,5]
[2,6,7,5,4,8,1,3]=>[3,1,8,4,5,7,6,2]
[6,1,7,4,5,8,2,3]=>[3,2,8,5,4,7,1,6]
[6,7,3,5,1,8,2,4]=>[4,2,8,1,5,3,7,6]
[2,1,6,7,5,8,3,4]=>[4,3,8,5,7,6,1,2]
[2,1,5,7,3,6,8,4]=>[4,8,6,3,7,5,1,2]
[5,7,3,6,1,2,8,4]=>[4,8,2,1,6,3,7,5]
[4,1,7,2,5,6,8,3]=>[3,8,6,5,2,7,1,4]
[2,4,7,1,6,5,8,3]=>[3,8,5,6,1,7,4,2]
[4,6,2,1,8,7,5,3]=>[3,5,7,8,1,2,6,4]
[3,4,6,2,7,8,5,1]=>[1,5,8,7,2,6,4,3]
[4,6,1,2,5,8,7,3]=>[3,7,8,5,2,1,6,4]
[5,6,1,4,8,2,7,3]=>[3,7,2,8,4,1,6,5]
[5,6,3,1,8,7,2,4]=>[4,2,7,8,1,3,6,5]
[3,5,6,4,7,1,8,2]=>[2,8,1,7,4,6,5,3]
[3,4,6,1,5,7,8,2]=>[2,8,7,5,1,6,4,3]
[3,4,1,5,7,6,8,2]=>[2,8,6,7,5,1,4,3]
[3,8,2,7,1,6,5,4]=>[4,5,6,1,7,2,8,3]
[3,8,2,7,6,1,5,4]=>[4,5,1,6,7,2,8,3]
[3,8,2,7,6,5,1,4]=>[4,1,5,6,7,2,8,3]
[3,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,3]
[4,8,7,2,6,5,3,1]=>[1,3,5,6,2,7,8,4]
[4,8,7,2,6,5,1,3]=>[3,1,5,6,2,7,8,4]
[4,8,7,2,6,1,5,3]=>[3,5,1,6,2,7,8,4]
[4,8,7,2,1,6,5,3]=>[3,5,6,1,2,7,8,4]
[4,8,7,3,1,6,5,2]=>[2,5,6,1,3,7,8,4]
[4,8,7,3,2,1,6,5]=>[5,6,1,2,3,7,8,4]
[4,8,7,3,2,6,1,5]=>[5,1,6,2,3,7,8,4]
[4,8,7,3,2,6,5,1]=>[1,5,6,2,3,7,8,4]
[4,8,7,3,6,2,5,1]=>[1,5,2,6,3,7,8,4]
[4,8,7,3,6,2,1,5]=>[5,1,2,6,3,7,8,4]
[4,8,7,3,6,1,5,2]=>[2,5,1,6,3,7,8,4]
[4,8,7,3,6,5,1,2]=>[2,1,5,6,3,7,8,4]
[4,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,4]
[5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]
[5,8,7,6,3,1,4,2]=>[2,4,1,3,6,7,8,5]
[5,8,7,6,3,2,4,1]=>[1,4,2,3,6,7,8,5]
[5,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,5]
[5,8,7,6,2,1,4,3]=>[3,4,1,2,6,7,8,5]
[5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]
[5,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,5]
[5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5]
[5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]
[7,3,4,2,1,6,5,8]=>[8,5,6,1,2,4,3,7]
[7,3,5,2,6,1,4,8]=>[8,4,1,6,2,5,3,7]
[7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]
[6,3,5,2,7,4,8,1]=>[1,8,4,7,2,5,3,6]
[7,2,1,5,6,4,3,8]=>[8,3,4,6,5,1,2,7]
[7,3,5,1,6,4,2,8]=>[8,2,4,6,1,5,3,7]
[7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]
[1,4,5,7,3,2,8,6]=>[6,8,2,3,7,5,4,1]
[1,4,6,7,3,8,2,5]=>[5,2,8,3,7,6,4,1]
[6,4,5,7,3,1,8,2]=>[2,8,1,3,7,5,4,6]
[6,4,5,7,1,3,8,2]=>[2,8,3,1,7,5,4,6]
[6,3,5,1,7,4,8,2]=>[2,8,4,7,1,5,3,6]
[6,2,1,5,7,4,8,3]=>[3,8,4,7,5,1,2,6]
[3,2,1,5,7,4,8,6]=>[6,8,4,7,5,1,2,3]
[2,4,6,7,3,8,1,5]=>[5,1,8,3,7,6,4,2]
[1,4,6,7,3,8,5,2]=>[2,5,8,3,7,6,4,1]
[1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]
[2,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,2]
[3,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,3]
[5,2,1,6,7,8,4,3]=>[3,4,8,7,6,1,2,5]
[5,3,6,1,7,8,4,2]=>[2,4,8,7,1,6,3,5]
[5,4,6,7,1,8,3,2]=>[2,3,8,1,7,6,4,5]
[1,5,6,7,8,3,2,4]=>[4,2,3,8,7,6,5,1]
[6,4,5,7,2,1,8,3]=>[3,8,1,2,7,5,4,6]
[5,4,6,7,2,8,3,1]=>[1,3,8,2,7,6,4,5]
[5,3,6,2,7,8,4,1]=>[1,4,8,7,2,6,3,5]
[5,3,6,2,7,8,1,4]=>[4,1,8,7,2,6,3,5]
[6,3,5,2,7,1,8,4]=>[4,8,1,7,2,5,3,6]
[6,3,4,2,1,7,8,5]=>[5,8,7,1,2,4,3,6]
[5,3,4,1,2,7,8,6]=>[6,8,7,2,1,4,3,5]
[4,3,6,2,7,8,1,5]=>[5,1,8,7,2,6,3,4]
[4,3,6,2,7,8,5,1]=>[1,5,8,7,2,6,3,4]
[1,3,6,2,7,8,5,4]=>[4,5,8,7,2,6,3,1]
[1,4,6,7,2,8,5,3]=>[3,5,8,2,7,6,4,1]
[3,4,6,7,2,8,5,1]=>[1,5,8,2,7,6,4,3]
[3,4,5,7,2,1,8,6]=>[6,8,1,2,7,5,4,3]
[4,2,1,5,7,3,8,6]=>[6,8,3,7,5,1,2,4]
[4,2,1,6,7,8,3,5]=>[5,3,8,7,6,1,2,4]
[4,3,6,1,7,8,2,5]=>[5,2,8,7,1,6,3,4]
[1,5,6,7,8,2,4,3]=>[3,4,2,8,7,6,5,1]
[1,5,6,7,8,4,2,3]=>[3,2,4,8,7,6,5,1]
[3,4,6,7,1,8,5,2]=>[2,5,8,1,7,6,4,3]
[4,3,6,1,7,8,5,2]=>[2,5,8,7,1,6,3,4]
[4,2,1,6,7,8,5,3]=>[3,5,8,7,6,1,2,4]
[2,3,6,1,7,8,5,4]=>[4,5,8,7,1,6,3,2]
[2,4,6,7,1,8,5,3]=>[3,5,8,1,7,6,4,2]
[2,5,6,7,8,1,4,3]=>[3,4,1,8,7,6,5,2]
[1,4,3,6,2,5,7,8]=>[8,7,5,2,6,3,4,1]
[1,4,3,7,2,5,6,8]=>[8,6,5,2,7,3,4,1]
[1,4,3,7,6,8,2,5]=>[5,2,8,6,7,3,4,1]
[1,4,3,7,5,8,2,6]=>[6,2,8,5,7,3,4,1]
[1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]
[1,5,3,7,4,8,2,6]=>[6,2,8,4,7,3,5,1]
[1,3,2,6,5,8,4,7]=>[7,4,8,5,6,2,3,1]
[1,5,4,8,2,6,3,7]=>[7,3,6,2,8,4,5,1]
[1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]
[1,2,3,6,5,8,4,7]=>[7,4,8,5,6,3,2,1]
[6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]
[3,7,8,4,5,2,6,1]=>[1,6,2,5,4,8,7,3]
[7,8,1,4,5,3,6,2]=>[2,6,3,5,4,1,8,7]
[3,8,7,4,1,6,5,2]=>[2,5,6,1,4,7,8,3]
[4,8,3,6,1,5,7,2]=>[2,7,5,1,6,3,8,4]
[5,8,3,1,6,4,7,2]=>[2,7,4,6,1,3,8,5]
[5,8,1,4,7,6,3,2]=>[2,3,6,7,4,1,8,5]
[7,5,1,8,6,2,4,3]=>[3,4,2,6,8,1,5,7]
[7,4,1,8,2,6,3,5]=>[5,3,6,2,8,1,4,7]
[7,1,8,4,2,6,3,5]=>[5,3,6,2,4,8,1,7]
[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]
[6,1,3,8,5,2,4,7]=>[7,4,2,5,8,3,1,6]
[7,1,8,3,6,2,5,4]=>[4,5,2,6,3,8,1,7]
[7,3,1,8,4,2,6,5]=>[5,6,2,4,8,1,3,7]
[7,2,8,4,1,6,5,3]=>[3,5,6,1,4,8,2,7]
[7,2,8,3,6,5,1,4]=>[4,1,5,6,3,8,2,7]
[7,2,8,3,6,1,5,4]=>[4,5,1,6,3,8,2,7]
[7,1,8,2,3,6,5,4]=>[4,5,6,3,2,8,1,7]
[6,1,2,8,3,5,4,7]=>[7,4,5,3,8,2,1,6]
[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]
[5,1,2,3,8,4,7,6]=>[6,7,4,8,3,2,1,5]
[5,2,3,8,1,4,7,6]=>[6,7,4,1,8,3,2,5]
[6,2,8,1,3,5,4,7]=>[7,4,5,3,1,8,2,6]
[6,2,4,1,8,7,3,5]=>[5,3,7,8,1,4,2,6]
[6,3,1,4,2,8,5,7]=>[7,5,8,2,4,1,3,6]
[3,1,6,4,2,8,5,7]=>[7,5,8,2,4,6,1,3]
[2,6,3,8,7,1,5,4]=>[4,5,1,7,8,3,6,2]
[2,6,3,8,5,1,4,7]=>[7,4,1,5,8,3,6,2]
[2,5,1,8,3,4,7,6]=>[6,7,4,3,8,1,5,2]
[2,5,1,3,8,4,7,6]=>[6,7,4,8,3,1,5,2]
[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]
[1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]
[2,4,8,1,3,7,6,5]=>[5,6,7,3,1,8,4,2]
[2,4,8,3,7,1,6,5]=>[5,6,1,7,3,8,4,2]
[2,4,8,3,7,6,1,5]=>[5,1,6,7,3,8,4,2]
[2,5,3,8,1,7,4,6]=>[6,4,7,1,8,3,5,2]
[2,5,4,1,3,8,7,6]=>[6,7,8,3,1,4,5,2]
[3,1,5,4,8,2,7,6]=>[6,7,2,8,4,5,1,3]
[5,3,1,4,8,2,7,6]=>[6,7,2,8,4,1,3,5]
[5,2,3,8,4,7,1,6]=>[6,1,7,4,8,3,2,5]
[4,8,2,3,7,6,1,5]=>[5,1,6,7,3,2,8,4]
[4,8,2,3,7,1,6,5]=>[5,6,1,7,3,2,8,4]
[4,8,1,2,3,7,6,5]=>[5,6,7,3,2,1,8,4]
[1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]
[1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]
[6,3,8,1,5,2,4,7]=>[7,4,2,5,1,8,3,6]
[5,3,8,1,2,4,7,6]=>[6,7,4,2,1,8,3,5]
[5,1,3,8,2,4,7,6]=>[6,7,4,2,8,3,1,5]
[1,5,3,8,2,4,7,6]=>[6,7,4,2,8,3,5,1]
[1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]
[5,1,4,8,2,7,6,3]=>[3,6,7,2,8,4,1,5]
[5,4,8,1,2,7,6,3]=>[3,6,7,2,1,8,4,5]
[6,5,1,2,8,7,4,3]=>[3,4,7,8,2,1,5,6]
[5,3,1,6,4,2,8,7]=>[7,8,2,4,6,1,3,5]
[5,1,6,2,8,7,4,3]=>[3,4,7,8,2,6,1,5]
[4,1,5,8,2,7,6,3]=>[3,6,7,2,8,5,1,4]
[4,1,2,5,8,7,6,3]=>[3,6,7,8,5,2,1,4]
[1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]
[1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]
[3,5,1,2,8,7,4,6]=>[6,4,7,8,2,1,5,3]
[3,6,2,8,7,5,1,4]=>[4,1,5,7,8,2,6,3]
[4,2,6,1,8,7,3,5]=>[5,3,7,8,1,6,2,4]
[4,3,1,5,8,2,7,6]=>[6,7,2,8,5,1,3,4]
[3,5,2,8,7,1,4,6]=>[6,4,1,7,8,2,5,3]
[3,4,8,7,1,2,6,5]=>[5,6,2,1,7,8,4,3]
[3,4,8,1,7,2,6,5]=>[5,6,2,7,1,8,4,3]
[1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]
[1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]
[3,4,8,1,2,7,6,5]=>[5,6,7,2,1,8,4,3]
[3,4,8,2,7,1,6,5]=>[5,6,1,7,2,8,4,3]
[3,4,8,2,7,6,1,5]=>[5,1,6,7,2,8,4,3]
[4,2,5,8,1,7,6,3]=>[3,6,7,1,8,5,2,4]
[4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]
[3,1,4,2,5,8,7,6]=>[6,7,8,5,2,4,1,3]
[7,8,2,1,5,3,6,4]=>[4,6,3,5,1,2,8,7]
[6,4,1,2,7,3,5,8]=>[8,5,3,7,2,1,4,6]
[2,3,7,5,4,1,8,6]=>[6,8,1,4,5,7,3,2]
[6,3,1,5,4,2,7,8]=>[8,7,2,4,5,1,3,6]
[7,8,1,5,4,2,6,3]=>[3,6,2,4,5,1,8,7]
[7,8,3,5,4,1,6,2]=>[2,6,1,4,5,3,8,7]
[7,8,2,5,4,1,3,6]=>[6,3,1,4,5,2,8,7]
[7,8,2,5,4,6,1,3]=>[3,1,6,4,5,2,8,7]
[5,3,6,1,4,7,8,2]=>[2,8,7,4,1,6,3,5]
[5,3,6,2,4,7,1,8]=>[8,1,7,4,2,6,3,5]
[6,4,2,1,7,3,8,5]=>[5,8,3,7,1,2,4,6]
[4,3,7,5,8,6,1,2]=>[2,1,6,8,5,7,3,4]
[4,2,7,1,8,3,6,5]=>[5,6,3,8,1,7,2,4]
[3,2,6,7,4,8,1,5]=>[5,1,8,4,7,6,2,3]
[3,1,6,7,4,8,5,2]=>[2,5,8,4,7,6,1,3]
[1,7,6,5,3,8,4,2]=>[2,4,8,3,5,6,7,1]
[2,7,6,5,3,8,1,4]=>[4,1,8,3,5,6,7,2]
[1,7,6,5,2,4,8,3]=>[3,8,4,2,5,6,7,1]
[2,7,6,5,3,1,4,8]=>[8,4,1,3,5,6,7,2]
[2,7,1,4,8,3,5,6]=>[6,5,3,8,4,1,7,2]
[3,7,6,4,8,5,1,2]=>[2,1,5,8,4,6,7,3]
[5,7,6,3,8,4,1,2]=>[2,1,4,8,3,6,7,5]
[5,1,6,2,4,8,3,7]=>[7,3,8,4,2,6,1,5]
[4,7,6,5,2,1,3,8]=>[8,3,1,2,5,6,7,4]
[4,7,6,5,2,8,1,3]=>[3,1,8,2,5,6,7,4]
[4,7,6,5,1,8,3,2]=>[2,3,8,1,5,6,7,4]
[1,7,6,5,2,8,3,4]=>[4,3,8,2,5,6,7,1]
[1,7,6,5,3,2,8,4]=>[4,8,2,3,5,6,7,1]
[4,7,6,5,1,2,8,3]=>[3,8,2,1,5,6,7,4]
[4,7,6,5,3,1,8,2]=>[2,8,1,3,5,6,7,4]
[6,1,3,5,4,8,7,2]=>[2,7,8,4,5,3,1,6]
[5,2,6,3,4,1,7,8]=>[8,7,1,4,3,6,2,5]
[5,1,6,2,4,7,8,3]=>[3,8,7,4,2,6,1,5]
[1,2,6,3,4,8,7,5]=>[5,7,8,4,3,6,2,1]
[1,7,2,4,8,3,6,5]=>[5,6,3,8,4,2,7,1]
[6,1,4,2,8,3,5,7]=>[7,5,3,8,2,4,1,6]
[4,1,8,2,6,3,5,7]=>[7,5,3,6,2,8,1,4]
[4,7,2,1,5,3,6,8]=>[8,6,3,5,1,2,7,4]
[4,7,1,6,2,3,8,5]=>[5,8,3,2,6,1,7,4]
[1,7,2,6,8,3,5,4]=>[4,5,3,8,6,2,7,1]
[1,2,6,7,4,8,5,3]=>[3,5,8,4,7,6,2,1]
[3,1,6,7,4,2,8,5]=>[5,8,2,4,7,6,1,3]
[3,2,8,5,4,6,1,7]=>[7,1,6,4,5,8,2,3]
[4,7,6,3,5,8,1,2]=>[2,1,8,5,3,6,7,4]
[4,7,1,2,5,3,8,6]=>[6,8,3,5,2,1,7,4]
[3,7,6,5,2,4,1,8]=>[8,1,4,2,5,6,7,3]
[3,7,6,5,1,4,8,2]=>[2,8,4,1,5,6,7,3]
[3,7,6,5,2,1,8,4]=>[4,8,1,2,5,6,7,3]
[1,7,6,5,8,2,4,3]=>[3,4,2,8,5,6,7,1]
[3,7,6,5,8,1,4,2]=>[2,4,1,8,5,6,7,3]
[3,7,6,5,1,2,4,8]=>[8,4,2,1,5,6,7,3]
[3,1,6,8,4,2,5,7]=>[7,5,2,4,8,6,1,3]
[4,7,6,8,3,5,1,2]=>[2,1,5,3,8,6,7,4]
[2,7,6,5,1,4,3,8]=>[8,3,4,1,5,6,7,2]
[2,7,6,5,8,1,3,4]=>[4,3,1,8,5,6,7,2]
[2,7,6,5,8,4,1,3]=>[3,1,4,8,5,6,7,2]
[6,3,2,1,7,4,8,5]=>[5,8,4,7,1,2,3,6]
[4,2,1,7,3,5,8,6]=>[6,8,5,3,7,1,2,4]
[7,3,1,5,4,2,8,6]=>[6,8,2,4,5,1,3,7]
[8,4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4,8]
[8,2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2,8]
[4,3,7,2,1,5,8,6]=>[6,8,5,1,2,7,3,4]
[6,3,7,4,2,1,8,5]=>[5,8,1,2,4,7,3,6]
[4,7,2,5,3,1,8,6]=>[6,8,1,3,5,2,7,4]
[2,7,5,4,1,3,8,6]=>[6,8,3,1,4,5,7,2]
[7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7]
[8,5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5,8]
[6,5,2,1,8,4,3,7]=>[7,3,4,8,1,2,5,6]
[4,6,3,2,8,1,5,7]=>[7,5,1,8,2,3,6,4]
[5,7,4,3,2,8,1,6]=>[6,1,8,2,3,4,7,5]
[1,7,6,2,4,8,3,5]=>[5,3,8,4,2,6,7,1]
[2,7,3,6,4,8,1,5]=>[5,1,8,4,6,3,7,2]
[6,2,7,5,3,8,1,4]=>[4,1,8,3,5,7,2,6]
[7,1,8,5,3,6,4,2]=>[2,4,6,3,5,8,1,7]
[5,8,1,6,2,7,4,3]=>[3,4,7,2,6,1,8,5]
[1,8,6,2,3,7,5,4]=>[4,5,7,3,2,6,8,1]
[1,8,6,3,2,7,5,4]=>[4,5,7,2,3,6,8,1]
[5,8,3,2,7,1,6,4]=>[4,6,1,7,2,3,8,5]
[8,7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7,8]
[8,7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7,8]
[1,8,5,7,4,3,6,2]=>[2,6,3,4,7,5,8,1]
[1,8,5,7,2,4,6,3]=>[3,6,4,2,7,5,8,1]
[3,8,6,1,7,2,5,4]=>[4,5,2,7,1,6,8,3]
[5,8,4,6,7,1,3,2]=>[2,3,1,7,6,4,8,5]
[7,2,8,5,6,1,4,3]=>[3,4,1,6,5,8,2,7]
[6,3,7,5,8,2,1,4]=>[4,1,2,8,5,7,3,6]
[3,7,2,6,8,4,1,5]=>[5,1,4,8,6,2,7,3]
[3,6,5,8,1,4,2,7]=>[7,2,4,1,8,5,6,3]
[2,6,5,8,4,1,3,7]=>[7,3,1,4,8,5,6,2]
[6,5,4,8,3,2,1,7]=>[7,1,2,3,8,4,5,6]
[8,4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4,8]
[8,2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2,8]
[6,2,5,8,1,4,3,7]=>[7,3,4,1,8,5,2,6]
[4,3,6,8,2,1,5,7]=>[7,5,1,2,8,6,3,4]
[6,3,5,1,8,4,2,7]=>[7,2,4,8,1,5,3,6]
[8,4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4,8]
[6,4,2,5,8,3,1,7]=>[7,1,3,8,5,2,4,6]
[5,4,1,6,8,2,3,7]=>[7,3,2,8,6,1,4,5]
[6,5,2,1,7,8,3,4]=>[4,3,8,7,1,2,5,6]
[6,3,7,4,8,5,2,1]=>[1,2,5,8,4,7,3,6]
[4,7,2,5,8,6,3,1]=>[1,3,6,8,5,2,7,4]
[6,3,1,8,4,7,5,2]=>[2,5,7,4,8,1,3,6]
[6,4,2,8,7,3,5,1]=>[1,5,3,7,8,2,4,6]
[6,5,3,8,7,4,1,2]=>[2,1,4,7,8,3,5,6]
[8,5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5,8]
[5,4,8,1,7,6,2,3]=>[3,2,6,7,1,8,4,5]
[5,2,8,1,7,3,6,4]=>[4,6,3,7,1,8,2,5]
[6,4,8,2,1,7,5,3]=>[3,5,7,1,2,8,4,6]
[3,6,8,1,4,7,5,2]=>[2,5,7,4,1,8,6,3]
[5,7,3,8,1,6,4,2]=>[2,4,6,1,8,3,7,5]
[6,4,7,8,1,5,3,2]=>[2,3,5,1,8,7,4,6]
[6,3,7,8,5,2,4,1]=>[1,4,2,5,8,7,3,6]
[2,5,8,7,1,3,6,4]=>[4,6,3,1,7,8,5,2]
[5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]
[8,3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3,8]
[8,2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2,8]
[4,3,8,7,6,2,1,5]=>[5,1,2,6,7,8,3,4]
[2,4,8,7,6,1,3,5]=>[5,3,1,6,7,8,4,2]
[3,5,8,7,2,6,1,4]=>[4,1,6,2,7,8,5,3]
[4,7,3,8,6,5,1,2]=>[2,1,5,6,8,3,7,4]
[7,5,8,6,4,3,2,1]=>[1,2,3,4,6,8,5,7]
[5,8,7,3,6,4,2,1]=>[1,2,4,6,3,7,8,5]
[4,8,7,6,2,5,3,1]=>[1,3,5,2,6,7,8,4]
[3,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,3]
[2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2]
[3,6,5,1,2,4,8,7]=>[7,8,4,2,1,5,6,3]
[3,7,5,8,2,4,1,6]=>[6,1,4,2,8,5,7,3]
[3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]
[5,1,7,8,4,3,2,6]=>[6,2,3,4,8,7,1,5]
[5,1,2,6,4,3,8,7]=>[7,8,3,4,6,2,1,5]
[6,1,2,5,4,3,8,7]=>[7,8,3,4,5,2,1,6]
[5,1,2,4,6,3,8,7]=>[7,8,3,6,4,2,1,5]
[4,1,2,6,5,3,8,7]=>[7,8,3,5,6,2,1,4]
[4,1,5,7,8,3,2,6]=>[6,2,3,8,7,5,1,4]
[4,1,5,8,7,3,2,6]=>[6,2,3,7,8,5,1,4]
[4,7,1,8,3,6,2,5]=>[5,2,6,3,8,1,7,4]
[4,1,7,8,5,2,3,6]=>[6,3,2,5,8,7,1,4]
[5,1,7,4,8,2,3,6]=>[6,3,2,8,4,7,1,5]
[7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]
[2,1,5,8,7,3,4,6]=>[6,4,3,7,8,5,1,2]
[5,1,8,4,7,2,3,6]=>[6,3,2,7,4,8,1,5]
[4,1,8,7,5,2,3,6]=>[6,3,2,5,7,8,1,4]
[4,7,1,6,3,2,8,5]=>[5,8,2,3,6,1,7,4]
[6,1,2,3,7,5,8,4]=>[4,8,5,7,3,2,1,6]
[7,1,2,3,8,6,5,4]=>[4,5,6,8,3,2,1,7]
[7,1,2,3,5,8,6,4]=>[4,6,8,5,3,2,1,7]
[6,8,1,4,3,7,2,5]=>[5,2,7,3,4,1,8,6]
[8,7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7,8]
[2,1,7,3,4,8,6,5]=>[5,6,8,4,3,7,1,2]
[7,8,3,2,4,1,6,5]=>[5,6,1,4,2,3,8,7]
[6,7,1,4,3,8,2,5]=>[5,2,8,3,4,1,7,6]
[8,1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1,8]
[8,1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1,8]
[7,1,2,3,6,8,5,4]=>[4,5,8,6,3,2,1,7]
[7,1,2,3,8,5,6,4]=>[4,6,5,8,3,2,1,7]
[8,1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1,8]
[8,1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1,8]
[7,1,8,5,4,3,2,6]=>[6,2,3,4,5,8,1,7]
[7,8,2,6,3,4,1,5]=>[5,1,4,3,6,2,8,7]
[6,8,2,7,3,4,1,5]=>[5,1,4,3,7,2,8,6]
[6,7,2,8,3,4,1,5]=>[5,1,4,3,8,2,7,6]
[3,8,7,1,4,2,6,5]=>[5,6,2,4,1,7,8,3]
[3,7,8,1,4,2,6,5]=>[5,6,2,4,1,8,7,3]
[3,6,8,1,4,2,7,5]=>[5,7,2,4,1,8,6,3]
[3,5,7,8,2,4,1,6]=>[6,1,4,2,8,7,5,3]
[3,6,7,1,4,2,8,5]=>[5,8,2,4,1,7,6,3]
[7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]
[8,6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6,8]
[8,1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1,8]
[8,1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1,8]
[5,8,3,7,1,4,2,6]=>[6,2,4,1,7,3,8,5]
[2,1,7,3,4,6,8,5]=>[5,8,6,4,3,7,1,2]
[6,7,3,2,4,1,8,5]=>[5,8,1,4,2,3,7,6]
[8,7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7,8]
[7,1,2,3,5,6,8,4]=>[4,8,6,5,3,2,1,7]
[6,1,2,3,8,7,4,5]=>[5,4,7,8,3,2,1,6]
[5,1,2,3,7,8,6,4]=>[4,6,8,7,3,2,1,5]
[5,1,2,3,8,7,6,4]=>[4,6,7,8,3,2,1,5]
[5,1,2,3,8,6,7,4]=>[4,7,6,8,3,2,1,5]
[6,1,2,3,5,8,7,4]=>[4,7,8,5,3,2,1,6]
[8,6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6,8]
[7,6,3,2,4,8,1,5]=>[5,1,8,4,2,3,6,7]
[2,1,6,3,4,8,7,5]=>[5,7,8,4,3,6,1,2]
[8,6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6,8]
[7,6,2,4,3,1,8,5]=>[5,8,1,3,4,2,6,7]
[6,1,2,3,5,7,8,4]=>[4,8,7,5,3,2,1,6]
[5,1,2,3,6,8,7,4]=>[4,7,8,6,3,2,1,5]
[7,8,1,2,6,3,5,4]=>[4,5,3,6,2,1,8,7]
[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]
[1,2,8,5,4,7,3,6]=>[6,3,7,4,5,8,2,1]
[1,3,8,5,4,2,7,6]=>[6,7,2,4,5,8,3,1]
[2,3,6,8,4,7,1,5]=>[5,1,7,4,8,6,3,2]
[1,3,6,8,4,7,5,2]=>[2,5,7,4,8,6,3,1]
[2,4,8,1,7,3,6,5]=>[5,6,3,7,1,8,4,2]
[3,4,8,5,7,6,1,2]=>[2,1,6,7,5,8,4,3]
[1,2,6,8,4,5,7,3]=>[3,7,5,4,8,6,2,1]
[7,5,1,2,4,3,6,8]=>[8,6,3,4,2,1,5,7]
[7,4,6,1,5,2,3,8]=>[8,3,2,5,1,6,4,7]
[7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]
[6,8,1,4,7,2,3,5]=>[5,3,2,7,4,1,8,6]
[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]
[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]
[6,8,1,7,3,5,4,2]=>[2,4,5,3,7,1,8,6]
[7,1,3,6,5,4,2,8]=>[8,2,4,5,6,3,1,7]
[7,3,1,6,5,4,2,8]=>[8,2,4,5,6,1,3,7]
[7,2,1,4,6,3,5,8]=>[8,5,3,6,4,1,2,7]
[7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]
[6,8,1,2,7,3,5,4]=>[4,5,3,7,2,1,8,6]
[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]
[1,5,8,2,7,6,3,4]=>[4,3,6,7,2,8,5,1]
[5,1,8,2,7,6,3,4]=>[4,3,6,7,2,8,1,5]
[5,8,2,7,6,3,4,1]=>[1,4,3,6,7,2,8,5]
[6,2,8,1,7,3,5,4]=>[4,5,3,7,1,8,2,6]
[6,8,2,1,7,4,3,5]=>[5,3,4,7,1,2,8,6]
[3,6,4,1,2,8,5,7]=>[7,5,8,2,1,4,6,3]
[2,1,6,3,8,5,4,7]=>[7,4,5,8,3,6,1,2]
[2,5,1,8,7,6,3,4]=>[4,3,6,7,8,1,5,2]
[2,5,3,8,7,4,6,1]=>[1,6,4,7,8,3,5,2]
[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]
[2,4,8,7,6,5,1,3]=>[3,1,5,6,7,8,4,2]
[2,5,3,8,7,1,6,4]=>[4,6,1,7,8,3,5,2]
[2,5,8,4,1,7,6,3]=>[3,6,7,1,4,8,5,2]
[3,5,8,7,1,4,2,6]=>[6,2,4,1,7,8,5,3]
[5,3,8,4,1,7,6,2]=>[2,6,7,1,4,8,3,5]
[4,2,8,7,6,3,5,1]=>[1,5,3,6,7,8,2,4]
[4,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,4]
[4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]
[4,3,8,7,6,5,1,2]=>[2,1,5,6,7,8,3,4]
[6,3,1,8,7,2,5,4]=>[4,5,2,7,8,1,3,6]
[5,8,3,7,6,1,4,2]=>[2,4,1,6,7,3,8,5]
[5,1,3,8,7,6,2,4]=>[4,2,6,7,8,3,1,5]
[1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]
[1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]
[5,1,8,4,7,2,6,3]=>[3,6,2,7,4,8,1,5]
[5,8,7,4,6,1,2,3]=>[3,2,1,6,4,7,8,5]
[6,8,5,1,2,4,7,3]=>[3,7,4,2,1,5,8,6]
[5,6,3,1,2,4,8,7]=>[7,8,4,2,1,3,6,5]
[5,6,2,4,3,1,8,7]=>[7,8,1,3,4,2,6,5]
[5,6,1,2,4,3,8,7]=>[7,8,3,4,2,1,6,5]
[4,5,8,1,7,2,3,6]=>[6,3,2,7,1,8,5,4]
[4,5,8,1,7,2,6,3]=>[3,6,2,7,1,8,5,4]
[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]
[3,5,1,8,7,4,6,2]=>[2,6,4,7,8,1,5,3]
[3,5,1,8,7,2,6,4]=>[4,6,2,7,8,1,5,3]
[4,3,6,1,2,8,5,7]=>[7,5,8,2,1,6,3,4]
[4,5,8,3,1,7,2,6]=>[6,2,7,1,3,8,5,4]
[4,5,2,8,7,1,3,6]=>[6,3,1,7,8,2,5,4]
[3,2,5,8,7,1,6,4]=>[4,6,1,7,8,5,2,3]
[3,4,8,7,6,2,1,5]=>[5,1,2,6,7,8,4,3]
[3,1,4,8,7,6,2,5]=>[5,2,6,7,8,4,1,3]
[3,4,8,7,6,5,1,2]=>[2,1,5,6,7,8,4,3]
[1,3,4,8,7,6,2,5]=>[5,2,6,7,8,4,3,1]
[3,4,8,7,6,2,5,1]=>[1,5,2,6,7,8,4,3]
[3,2,5,8,7,4,6,1]=>[1,6,4,7,8,5,2,3]
[4,5,8,3,1,7,6,2]=>[2,6,7,1,3,8,5,4]
[2,1,3,5,8,7,4,6]=>[6,4,7,8,5,3,1,2]
[1,2,7,5,8,6,4,3]=>[3,4,6,8,5,7,2,1]
[7,1,4,8,2,6,5,3]=>[3,5,6,2,8,4,1,7]
[6,8,1,3,7,5,2,4]=>[4,2,5,7,3,1,8,6]
[3,7,8,1,2,6,5,4]=>[4,5,6,2,1,8,7,3]
[1,3,7,8,2,6,5,4]=>[4,5,6,2,8,7,3,1]
[2,3,7,8,1,6,5,4]=>[4,5,6,1,8,7,3,2]
[2,7,8,1,3,6,5,4]=>[4,5,6,3,1,8,7,2]
[8,1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1,8]
[8,1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1,8]
[8,2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2,8]
[2,8,1,6,7,3,5,4]=>[4,5,3,7,6,1,8,2]
[2,6,8,3,7,1,5,4]=>[4,5,1,7,3,8,6,2]
[2,8,6,4,7,1,5,3]=>[3,5,1,7,4,6,8,2]
[6,8,3,4,1,7,5,2]=>[2,5,7,1,4,3,8,6]
[6,8,3,7,4,1,5,2]=>[2,5,1,4,7,3,8,6]
[2,6,8,3,7,5,1,4]=>[4,1,5,7,3,8,6,2]
[2,8,1,6,7,5,3,4]=>[4,3,5,7,6,1,8,2]
[8,2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2,8]
[8,4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4,8]
[8,5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5,8]
[8,3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3,8]
[8,5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5,8]
[8,2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2,8]
[8,2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2,8]
[8,2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2,8]
[8,7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7,8]
[8,7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7,8]
[8,4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4,8]
[1,6,8,3,7,2,5,4]=>[4,5,2,7,3,8,6,1]
[8,3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3,8]
[5,8,7,1,3,6,2,4]=>[4,2,6,3,1,7,8,5]
[8,5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5,8]
[8,5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5,8]
[8,5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5,8]
[1,4,6,8,2,7,5,3]=>[3,5,7,2,8,6,4,1]
[1,6,5,8,2,7,4,3]=>[3,4,7,2,8,5,6,1]
[8,5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5,8]
[5,6,2,8,1,7,4,3]=>[3,4,7,1,8,2,6,5]
[1,8,4,5,7,2,6,3]=>[3,6,2,7,5,4,8,1]
[5,8,7,3,6,1,2,4]=>[4,2,1,6,3,7,8,5]
[8,3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3,8]
[1,6,8,3,7,5,2,4]=>[4,2,5,7,3,8,6,1]
[6,3,8,2,7,5,1,4]=>[4,1,5,7,2,8,3,6]
[6,8,4,2,7,1,5,3]=>[3,5,1,7,2,4,8,6]
[8,6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6,8]
[8,4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4,8]
[8,4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4,8]
[8,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,8]
[8,7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7,8]
[8,3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3,8]
[2,8,4,5,7,1,6,3]=>[3,6,1,7,5,4,8,2]
[8,7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7,8]
[8,7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7,8]
[5,8,7,2,3,6,1,4]=>[4,1,6,3,2,7,8,5]
[8,7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7,8]
[8,7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7,8]
[1,3,2,8,5,4,7,6]=>[6,7,4,5,8,2,3,1]
[4,2,8,5,3,7,1,6]=>[6,1,7,3,5,8,2,4]
[5,2,1,8,4,3,7,6]=>[6,7,3,4,8,1,2,5]
[6,2,8,4,3,7,5,1]=>[1,5,7,3,4,8,2,6]
[7,2,8,4,3,1,6,5]=>[5,6,1,3,4,8,2,7]
[7,3,4,8,2,1,6,5]=>[5,6,1,2,8,4,3,7]
[6,3,4,8,2,7,5,1]=>[1,5,7,2,8,4,3,6]
[5,3,4,1,8,2,7,6]=>[6,7,2,8,1,4,3,5]
[8,1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1,8]
[8,1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1,8]
[3,5,4,2,8,1,7,6]=>[6,7,1,8,2,4,5,3]
[4,5,3,2,8,7,1,6]=>[6,1,7,8,2,3,5,4]
[6,4,3,2,8,7,5,1]=>[1,5,7,8,2,3,4,6]
[6,5,3,2,1,7,8,4]=>[4,8,7,1,2,3,5,6]
[5,6,3,2,7,8,4,1]=>[1,4,8,7,2,3,6,5]
[4,1,6,3,2,7,8,5]=>[5,8,7,2,3,6,1,4]
[3,6,4,2,7,8,1,5]=>[5,1,8,7,2,4,6,3]
[8,1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1,8]
[8,1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1,8]
[2,7,4,1,3,6,5,8]=>[8,5,6,3,1,4,7,2]
[3,7,4,2,6,1,5,8]=>[8,5,1,6,2,4,7,3]
[4,1,7,3,2,6,5,8]=>[8,5,6,2,3,7,1,4]
[5,7,3,2,6,4,8,1]=>[1,8,4,6,2,3,7,5]
[6,7,3,2,5,4,1,8]=>[8,1,4,5,2,3,7,6]
[7,6,3,2,1,5,4,8]=>[8,4,5,1,2,3,6,7]
[4,7,5,6,2,3,8,1]=>[1,8,3,2,6,5,7,4]
[3,1,7,5,6,2,4,8]=>[8,4,2,6,5,7,1,3]
[2,7,5,6,1,3,4,8]=>[8,4,3,1,6,5,7,2]
[2,6,5,7,1,3,8,4]=>[4,8,3,1,7,5,6,2]
[4,6,5,7,2,8,1,3]=>[3,1,8,2,7,5,6,4]
[5,6,4,7,2,8,3,1]=>[1,3,8,2,7,4,6,5]
[6,5,4,1,7,2,8,3]=>[3,8,2,7,1,4,5,6]
[7,5,4,6,2,1,8,3]=>[3,8,1,2,6,4,5,7]
[6,4,5,7,1,8,2,3]=>[3,2,8,1,7,5,4,6]
[5,4,6,1,7,8,2,3]=>[3,2,8,7,1,6,4,5]
[8,1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1,8]
[2,1,4,6,8,7,3,5]=>[5,3,7,8,6,4,1,2]
[3,4,6,8,7,1,2,5]=>[5,2,1,7,8,6,4,3]
[4,3,1,6,8,7,2,5]=>[5,2,7,8,6,1,3,4]
[5,3,6,8,7,2,4,1]=>[1,4,2,7,8,6,3,5]
[6,3,5,1,8,7,2,4]=>[4,2,7,8,1,5,3,6]
[7,3,5,8,6,2,1,4]=>[4,1,2,6,8,5,3,7]
[7,2,8,5,6,3,1,4]=>[4,1,3,6,5,8,2,7]
[6,2,8,5,1,7,3,4]=>[4,3,7,1,5,8,2,6]
[4,2,1,8,6,7,3,5]=>[5,3,7,6,8,1,2,4]
[1,3,2,8,6,7,4,5]=>[5,4,7,6,8,2,3,1]
[2,3,8,6,7,1,4,5]=>[5,4,1,7,6,8,3,2]
[8,1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1,8]
[2,3,8,7,1,6,5,4]=>[4,5,6,1,7,8,3,2]
[4,2,8,7,6,1,5,3]=>[3,5,1,6,7,8,2,4]
[5,2,8,7,6,4,1,3]=>[3,1,4,6,7,8,2,5]
[7,2,1,8,6,5,4,3]=>[3,4,5,6,8,1,2,7]
[7,3,6,1,8,5,4,2]=>[2,4,5,8,1,6,3,7]
[6,3,7,8,5,4,2,1]=>[1,2,4,5,8,7,3,6]
[5,3,7,8,6,4,1,2]=>[2,1,4,6,8,7,3,5]
[4,3,1,7,8,6,5,2]=>[2,5,6,8,7,1,3,4]
[3,4,7,8,6,1,5,2]=>[2,5,1,6,8,7,4,3]
[8,1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1,8]
[3,5,7,6,8,1,4,2]=>[2,4,1,8,6,7,5,3]
[4,5,7,6,8,3,1,2]=>[2,1,3,8,6,7,5,4]
[5,4,1,7,6,8,3,2]=>[2,3,8,6,7,1,4,5]
[6,4,7,5,8,3,2,1]=>[1,2,3,8,5,7,4,6]
[7,4,6,5,1,8,3,2]=>[2,3,8,1,5,6,4,7]
[7,5,6,4,3,1,8,2]=>[2,8,1,3,4,6,5,7]
[6,5,1,7,4,3,8,2]=>[2,8,3,4,7,1,5,6]
[4,6,7,5,3,8,1,2]=>[2,1,8,3,5,7,6,4]
[3,6,7,5,1,4,8,2]=>[2,8,4,1,5,7,6,3]
[8,1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1,8]
[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]
[2,7,6,1,5,4,3,8]=>[8,3,4,5,1,6,7,2]
[3,7,6,5,1,4,2,8]=>[8,2,4,1,5,6,7,3]
[4,7,6,5,3,1,2,8]=>[8,2,1,3,5,6,7,4]
[8,6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6,8]
[8,6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6,8]
[8,6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6,8]
[8,6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6,8]
[8,7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7,8]
[5,3,1,7,2,4,6,8]=>[8,6,4,2,7,1,3,5]
[8,7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7,8]
[8,6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6,8]
[8,5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5,8]
[8,5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5,8]
[8,5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5,8]
[8,6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6,8]
[8,6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6,8]
[8,6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6,8]
[8,6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6,8]
[8,7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7,8]
[5,1,4,2,3,8,6,7]=>[7,6,8,3,2,4,1,5]
[5,1,4,2,7,3,6,8]=>[8,6,3,7,2,4,1,5]
[7,1,5,8,2,6,3,4]=>[4,3,6,2,8,5,1,7]
[5,7,8,1,2,4,6,3]=>[3,6,4,2,1,8,7,5]
[5,7,8,1,3,4,6,2]=>[2,6,4,3,1,8,7,5]
[5,8,1,7,3,4,6,2]=>[2,6,4,3,7,1,8,5]
[8,1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1,8]
[8,4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4,8]
[1,4,2,3,8,7,5,6]=>[6,5,7,8,3,2,4,1]
[1,4,2,7,6,3,5,8]=>[8,5,3,6,7,2,4,1]
[6,1,2,8,7,5,3,4]=>[4,3,5,7,8,2,1,6]
[6,1,2,4,8,7,5,3]=>[3,5,7,8,4,2,1,6]
[3,1,8,4,6,7,5,2]=>[2,5,7,6,4,8,1,3]
[3,1,7,6,4,8,5,2]=>[2,5,8,4,6,7,1,3]
[7,1,2,4,6,8,5,3]=>[3,5,8,6,4,2,1,7]
[7,1,2,6,8,5,3,4]=>[4,3,5,8,6,2,1,7]
[6,1,2,7,8,5,3,4]=>[4,3,5,8,7,2,1,6]
[6,1,2,7,4,8,5,3]=>[3,5,8,4,7,2,1,6]
[3,1,6,4,7,8,5,2]=>[2,5,8,7,4,6,1,3]
[5,7,1,3,8,4,6,2]=>[2,6,4,8,3,1,7,5]
[5,7,1,8,4,2,6,3]=>[3,6,2,4,8,1,7,5]
[7,1,5,3,2,8,6,4]=>[4,6,8,2,3,5,1,7]
[7,1,4,5,2,8,6,3]=>[3,6,8,2,5,4,1,7]
[4,7,3,1,5,8,6,2]=>[2,6,8,5,1,3,7,4]
[4,8,7,3,1,5,6,2]=>[2,6,5,1,3,7,8,4]
[8,1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1,8]
[8,1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1,8]
[8,3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3,8]
[3,1,2,8,4,7,5,6]=>[6,5,7,4,8,2,1,3]
[3,1,2,8,6,4,5,7]=>[7,5,4,6,8,2,1,3]
[3,1,7,2,6,4,5,8]=>[8,5,4,6,2,7,1,3]
[1,4,2,3,8,6,5,7]=>[7,5,6,8,3,2,4,1]
[1,4,2,3,8,5,7,6]=>[6,7,5,8,3,2,4,1]
[5,8,1,7,2,4,6,3]=>[3,6,4,2,7,1,8,5]
[5,8,1,3,4,7,6,2]=>[2,6,7,4,3,1,8,5]
[3,1,8,6,4,7,5,2]=>[2,5,7,4,6,8,1,3]
[8,1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1,8]
[6,1,2,8,7,3,5,4]=>[4,5,3,7,8,2,1,6]
[1,2,3,5,8,4,7,6]=>[6,7,4,8,5,3,2,1]
[1,2,3,5,8,6,4,7]=>[7,4,6,8,5,3,2,1]
[7,1,2,8,3,6,5,4]=>[4,5,6,3,8,2,1,7]
[7,1,2,8,6,4,5,3]=>[3,5,4,6,8,2,1,7]
[3,1,7,8,4,6,5,2]=>[2,5,6,4,8,7,1,3]
[3,1,8,7,6,4,5,2]=>[2,5,4,6,7,8,1,3]
[8,1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1,8]
[8,1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1,8]
[1,2,3,5,8,7,4,6]=>[6,4,7,8,5,3,2,1]
[1,2,3,6,8,5,4,7]=>[7,4,5,8,6,3,2,1]
[7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7]
[7,8,5,3,6,1,2,4]=>[4,2,1,6,3,5,8,7]
[7,5,6,3,1,4,2,8]=>[8,2,4,1,3,6,5,7]
[7,5,8,3,1,4,2,6]=>[6,2,4,1,3,8,5,7]
[7,8,5,3,1,4,2,6]=>[6,2,4,1,3,5,8,7]
[7,8,5,3,1,6,2,4]=>[4,2,6,1,3,5,8,7]
[7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7]
[7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7]
[7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]
[7,8,5,3,4,1,6,2]=>[2,6,1,4,3,5,8,7]
[7,8,5,3,1,4,6,2]=>[2,6,4,1,3,5,8,7]
[7,8,5,3,1,2,6,4]=>[4,6,2,1,3,5,8,7]
[7,5,3,8,1,2,6,4]=>[4,6,2,1,8,3,5,7]
[7,5,8,3,4,1,6,2]=>[2,6,1,4,3,8,5,7]
[7,5,8,3,4,6,1,2]=>[2,1,6,4,3,8,5,7]
[7,5,6,3,4,1,8,2]=>[2,8,1,4,3,6,5,7]
[7,5,6,3,1,4,8,2]=>[2,8,4,1,3,6,5,7]
[7,5,6,3,1,2,8,4]=>[4,8,2,1,3,6,5,7]
[7,5,3,6,1,2,8,4]=>[4,8,2,1,6,3,5,7]
[7,5,3,4,1,2,8,6]=>[6,8,2,1,4,3,5,7]
[7,5,3,1,4,2,6,8]=>[8,6,2,4,1,3,5,7]
[7,5,3,1,4,2,8,6]=>[6,8,2,4,1,3,5,7]
[7,5,3,1,6,2,8,4]=>[4,8,2,6,1,3,5,7]
[7,5,3,1,6,4,8,2]=>[2,8,4,6,1,3,5,7]
[7,5,3,6,1,4,8,2]=>[2,8,4,1,6,3,5,7]
[7,5,3,6,4,1,8,2]=>[2,8,1,4,6,3,5,7]
[7,5,3,6,4,8,1,2]=>[2,1,8,4,6,3,5,7]
[7,5,3,8,4,6,1,2]=>[2,1,6,4,8,3,5,7]
[7,5,3,8,1,4,6,2]=>[2,6,4,1,8,3,5,7]
[7,5,3,1,8,4,6,2]=>[2,6,4,8,1,3,5,7]
[7,5,3,1,8,2,6,4]=>[4,6,2,8,1,3,5,7]
[7,5,3,1,8,2,4,6]=>[6,4,2,8,1,3,5,7]
[7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]
[7,5,3,1,6,4,2,8]=>[8,2,4,6,1,3,5,7]
[7,5,3,1,8,4,2,6]=>[6,2,4,8,1,3,5,7]
[7,5,3,1,8,6,2,4]=>[4,2,6,8,1,3,5,7]
[7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]
[7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7]
[7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7]
[7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]
[7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]
[7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7]
[7,5,8,3,1,6,2,4]=>[4,2,6,1,3,8,5,7]
[7,5,3,6,1,4,2,8]=>[8,2,4,1,6,3,5,7]
[7,5,3,6,4,1,2,8]=>[8,2,1,4,6,3,5,7]
[7,5,3,8,4,1,2,6]=>[6,2,1,4,8,3,5,7]
[7,5,8,6,3,1,2,4]=>[4,2,1,3,6,8,5,7]
[7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]
[7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7]
[7,5,6,8,3,1,4,2]=>[2,4,1,3,8,6,5,7]
[7,5,6,3,8,1,2,4]=>[4,2,1,8,3,6,5,7]
[7,5,3,4,1,6,2,8]=>[8,2,6,1,4,3,5,7]
[7,5,3,4,1,8,2,6]=>[6,2,8,1,4,3,5,7]
[7,5,6,3,1,8,2,4]=>[4,2,8,1,3,6,5,7]
[7,5,6,3,1,8,4,2]=>[2,4,8,1,3,6,5,7]
[7,5,6,3,8,1,4,2]=>[2,4,1,8,3,6,5,7]
[7,5,6,3,8,4,1,2]=>[2,1,4,8,3,6,5,7]
[7,5,3,6,8,4,1,2]=>[2,1,4,8,6,3,5,7]
[7,5,3,6,8,1,4,2]=>[2,4,1,8,6,3,5,7]
[7,5,3,6,1,8,4,2]=>[2,4,8,1,6,3,5,7]
[7,5,3,1,6,8,4,2]=>[2,4,8,6,1,3,5,7]
[7,5,3,1,6,8,2,4]=>[4,2,8,6,1,3,5,7]
[7,5,3,1,4,8,2,6]=>[6,2,8,4,1,3,5,7]
[7,5,3,1,4,6,2,8]=>[8,2,6,4,1,3,5,7]
[7,5,3,1,2,6,4,8]=>[8,4,6,2,1,3,5,7]
[7,5,3,1,2,8,4,6]=>[6,4,8,2,1,3,5,7]
[7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7]
[7,5,3,1,4,8,6,2]=>[2,6,8,4,1,3,5,7]
[7,5,3,4,1,8,6,2]=>[2,6,8,1,4,3,5,7]
[7,5,3,4,8,1,6,2]=>[2,6,1,8,4,3,5,7]
[7,5,3,4,8,6,1,2]=>[2,1,6,8,4,3,5,7]
[7,5,3,4,6,1,8,2]=>[2,8,1,6,4,3,5,7]
[7,5,3,4,1,6,8,2]=>[2,8,6,1,4,3,5,7]
[7,5,3,1,4,6,8,2]=>[2,8,6,4,1,3,5,7]
[7,5,3,1,2,6,8,4]=>[4,8,6,2,1,3,5,7]
[7,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,7]
[3,6,2,5,4,1,8,7]=>[7,8,1,4,5,2,6,3]
[3,5,2,8,4,7,6,1]=>[1,6,7,4,8,2,5,3]
[5,4,7,3,2,8,6,1]=>[1,6,8,2,3,7,4,5]
[5,4,8,3,2,7,6,1]=>[1,6,7,2,3,8,4,5]
[6,4,5,3,2,1,8,7]=>[7,8,1,2,3,5,4,6]
[5,3,2,6,4,1,8,7]=>[7,8,1,4,6,2,3,5]
[4,5,8,3,2,7,6,1]=>[1,6,7,2,3,8,5,4]
[4,7,6,3,8,5,2,1]=>[1,2,5,8,3,6,7,4]
[4,8,6,3,7,5,2,1]=>[1,2,5,7,3,6,8,4]
[4,8,5,3,2,7,6,1]=>[1,6,7,2,3,5,8,4]
[5,8,4,3,2,7,6,1]=>[1,6,7,2,3,4,8,5]
[5,3,2,8,4,7,6,1]=>[1,6,7,4,8,2,3,5]
[2,1,5,8,4,7,6,3]=>[3,6,7,4,8,5,1,2]
[5,3,2,7,4,8,6,1]=>[1,6,8,4,7,2,3,5]
[5,7,4,3,2,8,6,1]=>[1,6,8,2,3,4,7,5]
[4,7,5,3,2,8,6,1]=>[1,6,8,2,3,5,7,4]
[4,7,8,3,6,5,2,1]=>[1,2,5,6,3,8,7,4]
[4,6,8,3,7,5,2,1]=>[1,2,5,7,3,8,6,4]
[7,6,4,3,8,5,2,1]=>[1,2,5,8,3,4,6,7]
[7,3,2,6,8,5,4,1]=>[1,4,5,8,6,2,3,7]
[2,1,8,6,7,5,4,3]=>[3,4,5,7,6,8,1,2]
[8,3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3,8]
[8,6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6,8]
[8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8]
[8,4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4,8]
[8,4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4,8]
[8,4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4,8]
[7,4,6,3,8,5,2,1]=>[1,2,5,8,3,6,4,7]
[3,7,2,6,8,5,4,1]=>[1,4,5,8,6,2,7,3]
[3,8,2,6,7,5,4,1]=>[1,4,5,7,6,2,8,3]
[3,8,2,5,4,7,6,1]=>[1,6,7,4,5,2,8,3]
[3,7,2,8,6,5,4,1]=>[1,4,5,6,8,2,7,3]
[3,6,2,8,7,5,4,1]=>[1,4,5,7,8,2,6,3]
[6,4,7,3,8,5,2,1]=>[1,2,5,8,3,7,4,6]
[6,4,8,3,7,5,2,1]=>[1,2,5,7,3,8,4,6]
[7,4,8,3,6,5,2,1]=>[1,2,5,6,3,8,4,7]
[7,4,5,3,2,8,6,1]=>[1,6,8,2,3,5,4,7]
[7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]
[7,3,2,5,4,8,6,1]=>[1,6,8,4,5,2,3,7]
[2,1,7,5,4,8,6,3]=>[3,6,8,4,5,7,1,2]
[7,3,2,8,6,5,4,1]=>[1,4,5,6,8,2,3,7]
[7,8,4,3,6,5,2,1]=>[1,2,5,6,3,4,8,7]
[6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]
[6,8,4,3,7,5,2,1]=>[1,2,5,7,3,4,8,6]
[6,3,2,8,7,5,4,1]=>[1,4,5,7,8,2,3,6]
[6,3,2,7,8,5,4,1]=>[1,4,5,8,7,2,3,6]
[6,7,4,3,8,5,2,1]=>[1,2,5,8,3,4,7,6]
[4,6,8,3,5,7,1,2]=>[2,1,7,5,3,8,6,4]
[6,8,1,2,4,5,7,3]=>[3,7,5,4,2,1,8,6]
[3,5,8,2,4,7,1,6]=>[6,1,7,4,2,8,5,3]
[8,3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3,8]
[4,2,5,7,3,6,1,8]=>[8,1,6,3,7,5,2,4]
[4,5,2,8,3,1,6,7]=>[7,6,1,3,8,2,5,4]
[4,2,5,8,3,7,1,6]=>[6,1,7,3,8,5,2,4]
[2,1,6,8,4,7,3,5]=>[5,3,7,4,8,6,1,2]
[1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]
[5,3,6,8,4,7,1,2]=>[2,1,7,4,8,6,3,5]
[1,6,5,8,2,4,7,3]=>[3,7,4,2,8,5,6,1]
[3,1,2,6,8,5,7,4]=>[4,7,5,8,6,2,1,3]
[1,4,3,8,2,6,7,5]=>[5,7,6,2,8,3,4,1]
[5,4,8,3,2,1,6,7]=>[7,6,1,2,3,8,4,5]
[5,4,3,7,2,6,1,8]=>[8,1,6,2,7,3,4,5]
[4,3,6,2,7,5,1,8]=>[8,1,5,7,2,6,3,4]
[4,6,3,2,1,8,5,7]=>[7,5,8,1,2,3,6,4]
[4,1,7,3,2,5,8,6]=>[6,8,5,2,3,7,1,4]
[4,3,1,7,8,2,6,5]=>[5,6,2,8,7,1,3,4]
[3,5,1,2,7,8,6,4]=>[4,6,8,7,2,1,5,3]
[7,5,1,4,8,2,6,3]=>[3,6,2,8,4,1,5,7]
[5,4,7,3,8,6,1,2]=>[2,1,6,8,3,7,4,5]
[5,8,4,7,6,3,1,2]=>[2,1,3,6,7,4,8,5]
[5,8,7,1,4,2,6,3]=>[3,6,2,4,1,7,8,5]
[8,3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3,8]
[4,8,3,1,7,2,6,5]=>[5,6,2,7,1,3,8,4]
[1,8,4,3,5,2,7,6]=>[6,7,2,5,3,4,8,1]
[4,6,3,1,5,2,8,7]=>[7,8,2,5,1,3,6,4]
[4,7,3,6,5,2,1,8]=>[8,1,2,5,6,3,7,4]
[5,3,7,6,4,2,1,8]=>[8,1,2,4,6,7,3,5]
[1,6,3,4,2,8,7,5]=>[5,7,8,2,4,3,6,1]
[1,8,3,6,2,7,5,4]=>[4,5,7,2,6,3,8,1]
[1,6,8,7,4,2,5,3]=>[3,5,2,4,7,8,6,1]
[6,4,8,7,5,3,1,2]=>[2,1,3,5,7,8,4,6]
[7,6,4,3,8,5,1,2]=>[2,1,5,8,3,4,6,7]
[1,7,6,2,8,4,5,3]=>[3,5,4,8,2,6,7,1]
[7,1,3,2,6,8,5,4]=>[4,5,8,6,2,3,1,7]
[1,5,3,2,7,4,8,6]=>[6,8,4,7,2,3,5,1]
[6,3,2,1,8,5,4,7]=>[7,4,5,8,1,2,3,6]
[6,5,3,2,7,4,1,8]=>[8,1,4,7,2,3,5,6]
[5,2,6,3,7,4,1,8]=>[8,1,4,7,3,6,2,5]
[2,8,5,3,1,6,4,7]=>[7,4,6,1,3,5,8,2]
[2,1,7,3,8,5,4,6]=>[6,4,5,8,3,7,1,2]
[1,6,2,3,7,8,5,4]=>[4,5,8,7,3,2,6,1]
[1,6,7,2,8,4,5,3]=>[3,5,4,8,2,7,6,1]
[5,7,1,8,2,4,6,3]=>[3,6,4,2,8,1,7,5]
[5,1,2,7,8,3,6,4]=>[4,6,3,8,7,2,1,5]
[2,4,1,7,8,6,3,5]=>[5,3,6,8,7,1,4,2]
[4,2,1,7,3,8,5,6]=>[6,5,8,3,7,1,2,4]
[6,2,8,4,3,1,5,7]=>[7,5,1,3,4,8,2,6]
[7,3,2,1,8,4,5,6]=>[6,5,4,8,1,2,3,7]
[7,8,3,2,5,6,1,4]=>[4,1,6,5,2,3,8,7]
[7,1,8,2,4,5,6,3]=>[3,6,5,4,2,8,1,7]
[8,7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7,8]
[8,3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3,8]
[3,2,8,7,5,1,4,6]=>[6,4,1,5,7,8,2,3]
[8,3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3,8]
[7,6,3,5,2,4,1,8]=>[8,1,4,2,5,3,6,7]
[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]
[8,2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2,8]
[4,2,8,1,7,5,3,6]=>[6,3,5,7,1,8,2,4]
[8,2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2,8]
[8,7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7,8]
[8,5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5,8]
[6,8,3,7,5,4,1,2]=>[2,1,4,5,7,3,8,6]
[8,1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1,8]
[8,1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1,8]
[2,8,1,7,5,4,3,6]=>[6,3,4,5,7,1,8,2]
[2,5,1,8,6,4,3,7]=>[7,3,4,6,8,1,5,2]
[5,7,2,6,4,3,1,8]=>[8,1,3,4,6,2,7,5]
[6,2,7,5,4,3,1,8]=>[8,1,3,4,5,7,2,6]
[2,1,8,6,5,4,3,7]=>[7,3,4,5,6,8,1,2]
[1,2,7,5,4,3,8,6]=>[6,8,3,4,5,7,2,1]
[1,7,2,4,3,8,6,5]=>[5,6,8,3,4,2,7,1]
[1,7,2,8,3,6,5,4]=>[4,5,6,3,8,2,7,1]
[1,7,8,6,5,2,4,3]=>[3,4,2,5,6,8,7,1]
[7,3,8,6,5,4,1,2]=>[2,1,4,5,6,8,3,7]
[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]
[8,1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1,8]
[5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]
[8,6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6,8]
[8,6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6,8]
[8,6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6,8]
[8,6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6,8]
[8,6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6,8]
[4,6,3,2,7,5,1,8]=>[8,1,5,7,2,3,6,4]
[1,4,3,7,2,5,8,6]=>[6,8,5,2,7,3,4,1]
[7,4,8,3,1,6,2,5]=>[5,2,6,1,3,8,4,7]
[7,1,5,8,3,2,6,4]=>[4,6,2,3,8,5,1,7]
[5,7,4,1,8,2,6,3]=>[3,6,2,8,1,4,7,5]
[5,7,4,3,1,8,6,2]=>[2,6,8,1,3,4,7,5]
[1,8,7,2,5,4,6,3]=>[3,6,4,5,2,7,8,1]
[1,8,5,3,7,2,6,4]=>[4,6,2,7,3,5,8,1]
[4,3,1,8,7,5,2,6]=>[6,2,5,7,8,1,3,4]
[1,4,8,6,3,5,2,7]=>[7,2,5,3,6,8,4,1]
[7,4,6,3,5,2,1,8]=>[8,1,2,5,3,6,4,7]
[1,3,5,6,8,4,2,7]=>[7,2,4,8,6,5,3,1]
[3,5,4,8,7,1,2,6]=>[6,2,1,7,8,4,5,3]
[3,1,4,6,8,7,2,5]=>[5,2,7,8,6,4,1,3]
[1,6,3,8,7,2,5,4]=>[4,5,2,7,8,3,6,1]
[1,6,2,4,8,7,5,3]=>[3,5,7,8,4,2,6,1]
[8,4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4,8]
[7,1,6,4,8,5,2,3]=>[3,2,5,8,4,6,1,7]
[7,3,6,8,5,1,2,4]=>[4,2,1,5,8,6,3,7]
[1,3,7,2,6,8,4,5]=>[5,4,8,6,2,7,3,1]
[3,6,5,2,8,1,4,7]=>[7,4,1,8,2,5,6,3]
[3,6,5,7,2,4,1,8]=>[8,1,4,2,7,5,6,3]
[4,2,6,3,8,1,5,7]=>[7,5,1,8,3,6,2,4]
[4,2,6,7,3,5,1,8]=>[8,1,5,3,7,6,2,4]
[3,6,2,4,7,5,1,8]=>[8,1,5,7,4,2,6,3]
[3,6,2,4,1,8,5,7]=>[7,5,8,1,4,2,6,3]
[7,3,8,2,1,6,4,5]=>[5,4,6,1,2,8,3,7]
[7,3,5,2,1,8,6,4]=>[4,6,8,1,2,5,3,7]
[8,7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7,8]
[8,7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7,8]
[3,8,7,2,1,4,6,5]=>[5,6,4,1,2,7,8,3]
[3,8,2,7,1,5,4,6]=>[6,4,5,1,7,2,8,3]
[3,6,8,2,1,5,4,7]=>[7,4,5,1,2,8,6,3]
[2,4,8,1,6,5,3,7]=>[7,3,5,6,1,8,4,2]
[4,2,8,1,5,7,3,6]=>[6,3,7,5,1,8,2,4]
[8,5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5,8]
[8,6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6,8]
[8,6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6,8]
[1,6,2,8,7,3,5,4]=>[4,5,3,7,8,2,6,1]
[1,8,2,4,6,7,3,5]=>[5,3,7,6,4,2,8,1]
[2,8,5,4,7,1,3,6]=>[6,3,1,7,4,5,8,2]
[2,1,5,8,6,4,3,7]=>[7,3,4,6,8,5,1,2]
[7,2,5,6,4,3,1,8]=>[8,1,3,4,6,5,2,7]
[1,2,5,7,8,4,3,6]=>[6,3,4,8,7,5,2,1]
[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]
[1,2,7,8,3,6,5,4]=>[4,5,6,3,8,7,2,1]
[7,1,8,6,3,5,4,2]=>[2,4,5,3,6,8,1,7]
[1,8,7,6,3,5,2,4]=>[4,2,5,3,6,7,8,1]
[1,8,7,4,6,3,2,5]=>[5,2,3,6,4,7,8,1]
[7,1,5,8,3,4,6,2]=>[2,6,4,3,8,5,1,7]
[7,1,6,4,2,3,5,8]=>[8,5,3,2,4,6,1,7]
[8,6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6,8]
[8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]
[2,7,1,4,5,8,3,6]=>[6,3,8,5,4,1,7,2]
[7,1,6,4,5,2,3,8]=>[8,3,2,5,4,6,1,7]
[7,1,4,5,6,8,2,3]=>[3,2,8,6,5,4,1,7]
[7,1,4,6,5,8,3,2]=>[2,3,8,5,6,4,1,7]
[7,1,2,3,8,5,4,6]=>[6,4,5,8,3,2,1,7]
[7,1,5,4,3,8,2,6]=>[6,2,8,3,4,5,1,7]
[7,1,3,4,2,6,8,5]=>[5,8,6,2,4,3,1,7]
[7,1,5,4,6,2,8,3]=>[3,8,2,6,4,5,1,7]
[7,1,5,6,4,3,8,2]=>[2,8,3,4,6,5,1,7]
[7,1,6,5,4,3,2,8]=>[8,2,3,4,5,6,1,7]
[8,6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6,8]
[2,5,1,7,4,3,6,8]=>[8,6,3,4,7,1,5,2]
[2,5,1,4,7,8,6,3]=>[3,6,8,7,4,1,5,2]
[3,5,1,4,8,6,2,7]=>[7,2,6,8,4,1,5,3]
[3,6,2,4,7,8,1,5]=>[5,1,8,7,4,2,6,3]
[5,6,2,4,8,7,1,3]=>[3,1,7,8,4,2,6,5]
[6,3,8,2,4,7,1,5]=>[5,1,7,4,2,8,3,6]
[6,5,8,7,2,3,1,4]=>[4,1,3,2,7,8,5,6]
[6,5,7,8,2,4,1,3]=>[3,1,4,2,8,7,5,6]
[6,3,4,2,8,5,1,7]=>[7,1,5,8,2,4,3,6]
[3,4,7,2,5,8,1,6]=>[6,1,8,5,2,7,4,3]
[4,6,8,1,3,5,2,7]=>[7,2,5,3,1,8,6,4]
[4,3,8,1,2,7,5,6]=>[6,5,7,2,1,8,3,4]
[3,6,4,1,7,2,5,8]=>[8,5,2,7,1,4,6,3]
[2,8,3,1,5,6,4,7]=>[7,4,6,5,1,3,8,2]
[3,8,7,1,5,4,2,6]=>[6,2,4,5,1,7,8,3]
[4,3,1,7,6,8,2,5]=>[5,2,8,6,7,1,3,4]
[3,4,1,7,5,6,8,2]=>[2,8,6,5,7,1,4,3]
[3,4,1,5,7,6,2,8]=>[8,2,6,7,5,1,4,3]
[3,7,4,1,6,2,8,5]=>[5,8,2,6,1,4,7,3]
[8,4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4,8]
[4,7,8,1,2,3,6,5]=>[5,6,3,2,1,8,7,4]
[2,8,6,1,5,3,7,4]=>[4,7,3,5,1,6,8,2]
[7,6,5,1,3,8,2,4]=>[4,2,8,3,1,5,6,7]
[7,6,5,1,3,4,8,2]=>[2,8,4,3,1,5,6,7]
[7,2,6,4,1,3,8,5]=>[5,8,3,1,4,6,2,7]
[6,7,5,2,1,3,8,4]=>[4,8,3,1,2,5,7,6]
[8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]
[4,7,5,2,8,1,6,3]=>[3,6,1,8,2,5,7,4]
[2,6,4,3,1,5,7,8]=>[8,7,5,1,3,4,6,2]
[7,3,8,4,1,5,2,6]=>[6,2,5,1,4,8,3,7]
[7,2,3,4,1,6,5,8]=>[8,5,6,1,4,3,2,7]
[4,2,8,3,6,1,5,7]=>[7,5,1,6,3,8,2,4]
[6,8,5,7,2,1,3,4]=>[4,3,1,2,7,5,8,6]
[4,8,5,2,7,1,3,6]=>[6,3,1,7,2,5,8,4]
[6,3,5,2,1,7,4,8]=>[8,4,7,1,2,5,3,6]
[6,8,5,3,1,4,2,7]=>[7,2,4,1,3,5,8,6]
[3,6,5,4,2,8,1,7]=>[7,1,8,2,4,5,6,3]
[1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]
[1,6,4,8,2,5,3,7]=>[7,3,5,2,8,4,6,1]
[1,6,5,8,2,4,3,7]=>[7,3,4,2,8,5,6,1]
[1,6,8,2,4,3,7,5]=>[5,7,3,4,2,8,6,1]
[1,6,2,4,3,7,8,5]=>[5,8,7,3,4,2,6,1]
[1,5,6,2,4,7,3,8]=>[8,3,7,4,2,6,5,1]
[1,5,6,2,4,7,8,3]=>[3,8,7,4,2,6,5,1]
[1,5,8,2,4,7,3,6]=>[6,3,7,4,2,8,5,1]
[1,5,7,2,4,8,3,6]=>[6,3,8,4,2,7,5,1]
[1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]
[1,6,7,2,4,3,8,5]=>[5,8,3,4,2,7,6,1]
[1,5,6,7,2,4,8,3]=>[3,8,4,2,7,6,5,1]
[1,5,8,2,4,6,7,3]=>[3,7,6,4,2,8,5,1]
[1,5,7,2,4,6,8,3]=>[3,8,6,4,2,7,5,1]
[1,5,7,8,3,2,4,6]=>[6,4,2,3,8,7,5,1]
[1,5,8,3,2,4,6,7]=>[7,6,4,2,3,8,5,1]
[1,5,6,2,4,8,3,7]=>[7,3,8,4,2,6,5,1]
[1,7,6,2,8,3,4,5]=>[5,4,3,8,2,6,7,1]
[1,7,3,4,2,8,6,5]=>[5,6,8,2,4,3,7,1]
[1,6,2,4,3,8,7,5]=>[5,7,8,3,4,2,6,1]
[1,5,6,2,4,8,7,3]=>[3,7,8,4,2,6,5,1]
[1,5,8,7,3,2,4,6]=>[6,4,2,3,7,8,5,1]
[1,4,2,3,5,8,7,6]=>[6,7,8,5,3,2,4,1]
[1,5,2,3,4,8,7,6]=>[6,7,8,4,3,2,5,1]
[1,6,5,2,3,8,7,4]=>[4,7,8,3,2,5,6,1]
[1,7,4,2,8,6,5,3]=>[3,5,6,8,2,4,7,1]
[1,7,6,5,2,8,4,3]=>[3,4,8,2,5,6,7,1]
[1,6,7,5,2,3,8,4]=>[4,8,3,2,5,7,6,1]
[1,7,5,2,8,4,3,6]=>[6,3,4,8,2,5,7,1]
[1,7,5,6,2,8,3,4]=>[4,3,8,2,6,5,7,1]
[1,5,7,6,2,4,8,3]=>[3,8,4,2,6,7,5,1]
[1,5,8,3,2,4,7,6]=>[6,7,4,2,3,8,5,1]
[1,6,5,2,3,7,4,8]=>[8,4,7,3,2,5,6,1]
[1,6,5,2,3,7,8,4]=>[4,8,7,3,2,5,6,1]
[1,6,8,4,2,3,7,5]=>[5,7,3,2,4,8,6,1]
[1,7,4,6,2,8,3,5]=>[5,3,8,2,6,4,7,1]
[1,7,3,5,2,8,4,6]=>[6,4,8,2,5,3,7,1]
[1,6,8,5,2,3,7,4]=>[4,7,3,2,5,8,6,1]
[1,6,4,2,3,7,8,5]=>[5,8,7,3,2,4,6,1]
[1,6,4,2,3,7,5,8]=>[8,5,7,3,2,4,6,1]
[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]
[1,5,7,3,2,4,8,6]=>[6,8,4,2,3,7,5,1]
[1,7,3,4,2,8,5,6]=>[6,5,8,2,4,3,7,1]
[1,7,4,2,8,5,3,6]=>[6,3,5,8,2,4,7,1]
[1,6,7,4,2,3,8,5]=>[5,8,3,2,4,7,6,1]
[1,6,4,2,3,8,5,7]=>[7,5,8,3,2,4,6,1]
[1,7,6,4,2,8,5,3]=>[3,5,8,2,4,6,7,1]
[1,7,5,2,8,6,4,3]=>[3,4,6,8,2,5,7,1]
[1,6,4,2,3,8,7,5]=>[5,7,8,3,2,4,6,1]
[7,3,5,6,1,4,8,2]=>[2,8,4,1,6,5,3,7]
[3,7,5,6,1,4,8,2]=>[2,8,4,1,6,5,7,3]
[8,2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2,8]
[8,6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6,8]
[3,6,1,4,2,8,5,7]=>[7,5,8,2,4,1,6,3]
[1,6,7,4,3,5,8,2]=>[2,8,5,3,4,7,6,1]
[6,7,1,4,3,5,8,2]=>[2,8,5,3,4,1,7,6]
[7,6,1,4,3,5,8,2]=>[2,8,5,3,4,1,6,7]
[3,5,4,1,6,7,8,2]=>[2,8,7,6,1,4,5,3]
[4,7,1,6,3,5,8,2]=>[2,8,5,3,6,1,7,4]
[3,1,4,7,6,5,8,2]=>[2,8,5,6,7,4,1,3]
[6,1,7,4,3,5,8,2]=>[2,8,5,3,4,7,1,6]
[7,1,6,4,3,5,8,2]=>[2,8,5,3,4,6,1,7]
[1,7,6,4,3,5,8,2]=>[2,8,5,3,4,6,7,1]
[8,1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1,8]
[8,4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4,8]
[4,7,1,3,8,2,5,6]=>[6,5,2,8,3,1,7,4]
[7,4,1,3,8,2,5,6]=>[6,5,2,8,3,1,4,7]
[1,3,6,4,2,8,5,7]=>[7,5,8,2,4,6,3,1]
[4,7,3,1,2,8,5,6]=>[6,5,8,2,1,3,7,4]
[4,7,8,1,2,6,5,3]=>[3,5,6,2,1,8,7,4]
[6,8,1,4,2,7,5,3]=>[3,5,7,2,4,1,8,6]
[1,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,1]
[4,8,1,3,7,2,5,6]=>[6,5,2,7,3,1,8,4]
[8,7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7,8]
[6,8,5,7,3,2,1,4]=>[4,1,2,3,7,5,8,6]
[1,8,4,3,7,2,5,6]=>[6,5,2,7,3,4,8,1]
[2,8,3,4,7,6,1,5]=>[5,1,6,7,4,3,8,2]
[3,7,8,4,6,2,1,5]=>[5,1,2,6,4,8,7,3]
[3,7,4,6,8,2,1,5]=>[5,1,2,8,6,4,7,3]
[2,4,3,7,8,6,1,5]=>[5,1,6,8,7,3,4,2]
[1,4,7,3,8,2,5,6]=>[6,5,2,8,3,7,4,1]
[5,7,6,8,3,2,1,4]=>[4,1,2,3,8,6,7,5]
[2,5,3,4,8,6,1,7]=>[7,1,6,8,4,3,5,2]
[3,7,5,4,8,2,1,6]=>[6,1,2,8,4,5,7,3]
[7,1,3,4,2,8,5,6]=>[6,5,8,2,4,3,1,7]
[6,1,4,3,8,2,5,7]=>[7,5,2,8,3,4,1,6]
[4,1,7,3,8,2,5,6]=>[6,5,2,8,3,7,1,4]
[8,1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1,8]
[8,2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2,8]
[4,2,3,7,8,6,1,5]=>[5,1,6,8,7,3,2,4]
[5,2,3,4,8,6,1,7]=>[7,1,6,8,4,3,2,5]
[2,7,5,6,3,8,1,4]=>[4,1,8,3,6,5,7,2]
[5,7,2,6,3,8,1,4]=>[4,1,8,3,6,2,7,5]
[5,7,2,6,8,4,1,3]=>[3,1,4,8,6,2,7,5]
[7,2,5,6,8,4,1,3]=>[3,1,4,8,6,5,2,7]
[4,2,3,8,5,6,1,7]=>[7,1,6,5,8,3,2,4]
[5,2,3,8,7,6,1,4]=>[4,1,6,7,8,3,2,5]
[8,2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2,8]
[6,1,8,3,7,2,5,4]=>[4,5,2,7,3,8,1,6]
[1,7,8,4,2,6,5,3]=>[3,5,6,2,4,8,7,1]
[4,7,1,8,2,5,6,3]=>[3,6,5,2,8,1,7,4]
[3,7,4,8,5,2,1,6]=>[6,1,2,5,8,4,7,3]
[2,4,3,8,5,6,1,7]=>[7,1,6,5,8,3,4,2]
[1,4,8,3,6,2,5,7]=>[7,5,2,6,3,8,4,1]
[7,5,8,6,3,2,1,4]=>[4,1,2,3,6,8,5,7]
[6,5,8,7,3,2,1,4]=>[4,1,2,3,7,8,5,6]
[8,5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5,8]
[2,5,3,8,7,6,1,4]=>[4,1,6,7,8,3,5,2]
[3,7,5,8,6,2,1,4]=>[4,1,2,6,8,5,7,3]
[3,7,8,6,5,2,1,4]=>[4,1,2,5,6,8,7,3]
[1,8,7,3,6,2,5,4]=>[4,5,2,6,3,7,8,1]
[6,8,7,5,3,2,1,4]=>[4,1,2,3,5,7,8,6]
[5,7,6,8,3,4,1,2]=>[2,1,4,3,8,6,7,5]
[3,7,6,8,4,5,1,2]=>[2,1,5,4,8,6,7,3]
[1,5,4,7,6,8,2,3]=>[3,2,8,6,7,4,5,1]
[1,7,4,6,5,8,2,3]=>[3,2,8,5,6,4,7,1]
[3,7,4,6,5,8,1,2]=>[2,1,8,5,6,4,7,3]
[3,5,4,8,6,7,1,2]=>[2,1,7,6,8,4,5,3]
[3,8,4,6,5,7,1,2]=>[2,1,7,5,6,4,8,3]
[3,6,4,7,5,8,1,2]=>[2,1,8,5,7,4,6,3]
[1,6,2,7,5,8,3,4]=>[4,3,8,5,7,2,6,1]
[1,6,4,8,5,7,2,3]=>[3,2,7,5,8,4,6,1]
[1,8,4,6,5,7,2,3]=>[3,2,7,5,6,4,8,1]
[1,5,4,8,6,7,2,3]=>[3,2,7,6,8,4,5,1]
[7,8,1,5,4,6,2,3]=>[3,2,6,4,5,1,8,7]
[7,8,1,5,2,4,3,6]=>[6,3,4,2,5,1,8,7]
[1,8,2,6,5,7,3,4]=>[4,3,7,5,6,2,8,1]
[1,7,2,8,5,6,3,4]=>[4,3,6,5,8,2,7,1]
[1,7,2,6,5,8,3,4]=>[4,3,8,5,6,2,7,1]
[1,5,2,7,6,8,3,4]=>[4,3,8,6,7,2,5,1]
[1,7,6,8,2,5,3,4]=>[4,3,5,2,8,6,7,1]
[1,7,6,8,4,5,2,3]=>[3,2,5,4,8,6,7,1]
[5,7,6,8,1,4,2,3]=>[3,2,4,1,8,6,7,5]
[7,8,5,6,1,3,2,4]=>[4,2,3,1,6,5,8,7]
[5,8,6,7,1,3,2,4]=>[4,2,3,1,7,6,8,5]
[1,3,2,7,6,8,4,5]=>[5,4,8,6,7,2,3,1]
[1,7,6,8,2,4,3,5]=>[5,3,4,2,8,6,7,1]
[7,8,1,3,2,6,4,5]=>[5,4,6,2,3,1,8,7]
[7,8,1,6,2,4,3,5]=>[5,3,4,2,6,1,8,7]
[1,8,6,7,2,4,3,5]=>[5,3,4,2,7,6,8,1]
[7,8,1,4,2,6,3,5]=>[5,3,6,2,4,1,8,7]
[7,8,1,4,2,5,3,6]=>[6,3,5,2,4,1,8,7]
[7,8,2,1,4,3,6,5]=>[5,6,3,4,1,2,8,7]
[7,8,1,2,4,3,5,6]=>[6,5,3,4,2,1,8,7]
[4,3,6,5,8,7,1,2]=>[2,1,7,8,5,6,3,4]
[3,4,6,5,7,8,1,2]=>[2,1,8,7,5,6,4,3]
[1,6,2,3,8,7,4,5]=>[5,4,7,8,3,2,6,1]
[1,7,4,3,2,8,6,5]=>[5,6,8,2,3,4,7,1]
[1,4,7,6,2,5,8,3]=>[3,8,5,2,6,7,4,1]
[1,2,6,5,3,7,4,8]=>[8,4,7,3,5,6,2,1]
[1,2,6,5,3,7,8,4]=>[4,8,7,3,5,6,2,1]
[1,3,7,5,2,6,8,4]=>[4,8,6,2,5,7,3,1]
[1,3,7,4,2,6,8,5]=>[5,8,6,2,4,7,3,1]
[1,2,6,4,3,7,8,5]=>[5,8,7,3,4,6,2,1]
[1,2,6,4,3,7,5,8]=>[8,5,7,3,4,6,2,1]
[1,4,7,3,2,5,8,6]=>[6,8,5,2,3,7,4,1]
[1,4,3,2,5,8,6,7]=>[7,6,8,5,2,3,4,1]
[1,5,3,2,4,8,6,7]=>[7,6,8,4,2,3,5,1]
[1,7,5,3,2,8,6,4]=>[4,6,8,2,3,5,7,1]
[1,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,1]
[7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7]
[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]
[7,1,5,4,3,8,6,2]=>[2,6,8,3,4,5,1,7]
[3,6,5,4,8,1,7,2]=>[2,7,1,8,4,5,6,3]
[6,8,1,4,3,2,7,5]=>[5,7,2,3,4,1,8,6]
[2,8,5,4,3,7,1,6]=>[6,1,7,3,4,5,8,2]
[7,6,1,4,3,8,5,2]=>[2,5,8,3,4,1,6,7]
[4,6,5,8,3,1,7,2]=>[2,7,1,3,8,5,6,4]
[6,8,5,1,3,2,7,4]=>[4,7,2,3,1,5,8,6]
[1,8,2,4,3,7,6,5]=>[5,6,7,3,4,2,8,1]
[3,8,5,4,7,2,1,6]=>[6,1,2,7,4,5,8,3]
[7,6,5,1,3,8,4,2]=>[2,4,8,3,1,5,6,7]
[1,6,3,4,8,7,5,2]=>[2,5,7,8,4,3,6,1]
[1,4,5,8,3,7,6,2]=>[2,6,7,3,8,5,4,1]
[6,8,5,4,1,2,7,3]=>[3,7,2,1,4,5,8,6]
[1,8,5,2,3,7,6,4]=>[4,6,7,3,2,5,8,1]
[6,8,2,4,3,7,1,5]=>[5,1,7,3,4,2,8,6]
[1,8,3,4,7,2,6,5]=>[5,6,2,7,4,3,8,1]
[7,5,8,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]
[4,8,5,7,3,2,1,6]=>[6,1,2,3,7,5,8,4]
[5,1,7,6,8,4,3,2]=>[2,3,4,8,6,7,1,5]
[6,4,8,5,2,7,1,3]=>[3,1,7,2,5,8,4,6]
[5,1,8,6,7,4,3,2]=>[2,3,4,7,6,8,1,5]
[8,4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4,8]
[5,4,6,8,2,1,7,3]=>[3,7,1,2,8,6,4,5]
[6,4,5,8,1,2,7,3]=>[3,7,2,1,8,5,4,6]
[7,4,6,5,2,1,8,3]=>[3,8,1,2,5,6,4,7]
[8,4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4,8]
[4,8,7,5,6,1,3,2]=>[2,3,1,6,5,7,8,4]
[2,7,5,1,8,4,3,6]=>[6,3,4,8,1,5,7,2]
[5,1,8,7,4,2,3,6]=>[6,3,2,4,7,8,1,5]
[2,8,6,7,4,3,5,1]=>[1,5,3,4,7,6,8,2]
[3,6,5,2,4,1,8,7]=>[7,8,1,4,2,5,6,3]
[5,2,3,6,4,1,8,7]=>[7,8,1,4,6,3,2,5]
[6,1,4,5,3,2,8,7]=>[7,8,2,3,5,4,1,6]
[3,8,7,1,4,6,5,2]=>[2,5,6,4,1,7,8,3]
[5,7,1,2,4,3,8,6]=>[6,8,3,4,2,1,7,5]
[4,3,7,6,8,2,5,1]=>[1,5,2,8,6,7,3,4]
[5,3,6,8,1,7,2,4]=>[4,2,7,1,8,6,3,5]
[3,2,6,8,5,7,1,4]=>[4,1,7,5,8,6,2,3]
[6,3,7,2,4,8,5,1]=>[1,5,8,4,2,7,3,6]
[7,4,8,6,5,2,1,3]=>[3,1,2,5,6,8,4,7]
[7,1,8,2,5,4,3,6]=>[6,3,4,5,2,8,1,7]
[2,5,3,7,4,1,8,6]=>[6,8,1,4,7,3,5,2]
[3,6,4,7,5,1,8,2]=>[2,8,1,5,7,4,6,3]
[8,4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4,8]
[8,4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4,8]
[4,2,8,7,3,5,6,1]=>[1,6,5,3,7,8,2,4]
[8,1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1,8]
[7,4,3,8,2,5,6,1]=>[1,6,5,2,8,3,4,7]
[6,4,1,5,8,2,7,3]=>[3,7,2,8,5,1,4,6]
[2,5,8,7,3,6,1,4]=>[4,1,6,3,7,8,5,2]
[2,1,5,8,7,4,6,3]=>[3,6,4,7,8,5,1,2]
[8,3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3,8]
[7,4,3,2,8,5,6,1]=>[1,6,5,8,2,3,4,7]
[4,2,7,1,8,5,6,3]=>[3,6,5,8,1,7,2,4]
[4,1,7,2,8,5,6,3]=>[3,6,5,8,2,7,1,4]
[2,4,8,7,3,5,6,1]=>[1,6,5,3,7,8,4,2]
[4,7,8,3,1,5,6,2]=>[2,6,5,1,3,8,7,4]
[3,4,7,2,8,5,6,1]=>[1,6,5,8,2,7,4,3]
[3,7,1,4,8,5,6,2]=>[2,6,5,8,4,1,7,3]
[7,2,3,4,8,5,6,1]=>[1,6,5,8,4,3,2,7]
[6,1,8,5,2,7,4,3]=>[3,4,7,2,5,8,1,6]
[2,1,7,4,5,8,6,3]=>[3,6,8,5,4,7,1,2]
[2,1,8,3,6,7,5,4]=>[4,5,7,6,3,8,1,2]
[8,2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2,8]
[7,8,2,6,4,1,5,3]=>[3,5,1,4,6,2,8,7]
[2,6,3,5,8,7,1,4]=>[4,1,7,8,5,3,6,2]
[7,6,2,1,5,8,4,3]=>[3,4,8,5,1,2,6,7]
[4,5,2,7,6,1,8,3]=>[3,8,1,6,7,2,5,4]
[5,1,6,8,4,7,2,3]=>[3,2,7,4,8,6,1,5]
[3,6,8,7,5,2,1,4]=>[4,1,2,5,7,8,6,3]
[7,4,8,6,5,2,3,1]=>[1,3,2,5,6,8,4,7]
[8,1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1,8]
[7,6,4,1,2,3,8,5]=>[5,8,3,2,1,4,6,7]
[2,6,4,8,5,3,7,1]=>[1,7,3,5,8,4,6,2]
[7,3,5,8,4,2,1,6]=>[6,1,2,4,8,5,3,7]
[3,2,5,8,4,1,7,6]=>[6,7,1,4,8,5,2,3]
[8,4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4,8]
[4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]
[6,1,4,8,7,3,5,2]=>[2,5,3,7,8,4,1,6]
[7,2,8,4,3,5,6,1]=>[1,6,5,3,4,8,2,7]
[4,7,8,1,3,5,6,2]=>[2,6,5,3,1,8,7,4]
[8,7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7,8]
[4,8,2,7,3,5,6,1]=>[1,6,5,3,7,2,8,4]
[3,1,8,7,2,5,6,4]=>[4,6,5,2,7,8,1,3]
[3,8,1,7,2,5,6,4]=>[4,6,5,2,7,1,8,3]
[8,2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2,8]
[6,4,8,7,1,3,2,5]=>[5,2,3,1,7,8,4,6]
[2,8,4,6,7,3,1,5]=>[5,1,3,7,6,4,8,2]
[4,3,8,2,7,6,1,5]=>[5,1,6,7,2,8,3,4]
[6,8,4,2,1,3,7,5]=>[5,7,3,1,2,4,8,6]
[7,8,2,4,3,5,6,1]=>[1,6,5,3,4,2,8,7]
[2,8,3,7,1,5,6,4]=>[4,6,5,1,7,3,8,2]
[8,1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1,8]
[6,4,1,3,2,8,5,7]=>[7,5,8,2,3,1,4,6]
[5,3,8,6,2,1,4,7]=>[7,4,1,2,6,8,3,5]
[4,6,5,2,8,3,1,7]=>[7,1,3,8,2,5,6,4]
[4,3,7,5,1,8,2,6]=>[6,2,8,1,5,7,3,4]
[6,8,5,2,7,4,3,1]=>[1,3,4,7,2,5,8,6]
[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]
[3,6,8,1,4,5,2,7]=>[7,2,5,4,1,8,6,3]
[6,8,1,2,4,5,3,7]=>[7,3,5,4,2,1,8,6]
[8,1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1,8]
[3,8,6,1,2,5,4,7]=>[7,4,5,2,1,6,8,3]
[5,8,1,6,2,3,4,7]=>[7,4,3,2,6,1,8,5]
[4,1,6,5,8,2,3,7]=>[7,3,2,8,5,6,1,4]
[4,3,8,6,2,5,1,7]=>[7,1,5,2,6,8,3,4]
[8,3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3,8]
[2,3,6,8,4,5,1,7]=>[7,1,5,4,8,6,3,2]
[2,7,5,4,3,8,1,6]=>[6,1,8,3,4,5,7,2]
[6,3,8,7,4,2,5,1]=>[1,5,2,4,7,8,3,6]
[5,8,4,3,7,6,1,2]=>[2,1,6,7,3,4,8,5]
[8,7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7,8]
[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]
[7,1,5,3,4,8,2,6]=>[6,2,8,4,3,5,1,7]
[2,8,6,1,7,4,5,3]=>[3,5,4,7,1,6,8,2]
[4,8,6,5,7,2,1,3]=>[3,1,2,7,5,6,8,4]
[4,7,6,8,2,1,5,3]=>[3,5,1,2,8,6,7,4]
[6,1,8,7,4,3,5,2]=>[2,5,3,4,7,8,1,6]
[8,5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5,8]
[1,5,8,6,3,4,7,2]=>[2,7,4,3,6,8,5,1]
[2,5,8,6,3,4,7,1]=>[1,7,4,3,6,8,5,2]
[4,1,3,8,5,6,7,2]=>[2,7,6,5,8,3,1,4]
[6,5,8,4,3,1,7,2]=>[2,7,1,3,4,8,5,6]
[4,6,5,2,8,1,7,3]=>[3,7,1,8,2,5,6,4]
[7,2,8,1,3,6,4,5]=>[5,4,6,3,1,8,2,7]
[1,8,5,2,3,6,7,4]=>[4,7,6,3,2,5,8,1]
[1,8,3,2,5,6,7,4]=>[4,7,6,5,2,3,8,1]
[2,8,3,1,5,6,7,4]=>[4,7,6,5,1,3,8,2]
[4,8,3,2,5,6,7,1]=>[1,7,6,5,2,3,8,4]
[8,2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2,8]
[2,1,8,3,5,6,7,4]=>[4,7,6,5,3,8,1,2]
[1,4,8,2,3,6,7,5]=>[5,7,6,3,2,8,4,1]
[3,1,2,7,8,6,4,5]=>[5,4,6,8,7,2,1,3]
[7,5,1,8,2,4,3,6]=>[6,3,4,2,8,1,5,7]
[3,5,8,1,2,4,7,6]=>[6,7,4,2,1,8,5,3]
[4,5,8,1,2,3,7,6]=>[6,7,3,2,1,8,5,4]
[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]
[3,8,4,1,2,6,7,5]=>[5,7,6,2,1,4,8,3]
[5,4,8,2,3,6,7,1]=>[1,7,6,3,2,8,4,5]
[5,8,3,6,7,4,1,2]=>[2,1,4,7,6,3,8,5]
[2,3,1,6,8,4,7,5]=>[5,7,4,8,6,1,3,2]
[2,4,3,7,1,8,5,6]=>[6,5,8,1,7,3,4,2]
[1,4,7,3,2,8,5,6]=>[6,5,8,2,3,7,4,1]
[2,7,1,4,3,8,5,6]=>[6,5,8,3,4,1,7,2]
[2,4,1,8,6,3,7,5]=>[5,7,3,6,8,1,4,2]
[8,4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4,8]
[6,8,5,1,7,2,3,4]=>[4,3,2,7,1,5,8,6]
[7,3,6,5,8,2,1,4]=>[4,1,2,8,5,6,3,7]
[7,6,3,5,8,2,1,4]=>[4,1,2,8,5,3,6,7]
[4,5,8,7,3,6,1,2]=>[2,1,6,3,7,8,5,4]
[3,5,2,8,6,1,7,4]=>[4,7,1,6,8,2,5,3]
[8,2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2,8]
[8,6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6,8]
[2,6,1,8,3,7,5,4]=>[4,5,7,3,8,1,6,2]
[4,7,1,6,2,8,5,3]=>[3,5,8,2,6,1,7,4]
[6,1,5,3,8,7,2,4]=>[4,2,7,8,3,5,1,6]
[2,8,6,3,7,1,5,4]=>[4,5,1,7,3,6,8,2]
[7,6,1,5,8,2,3,4]=>[4,3,2,8,5,1,6,7]
[3,6,8,5,1,2,7,4]=>[4,7,2,1,5,8,6,3]
[6,5,2,4,8,1,7,3]=>[3,7,1,8,4,2,5,6]
[5,1,4,8,2,6,7,3]=>[3,7,6,2,8,4,1,5]
[4,8,2,5,1,6,7,3]=>[3,7,6,1,5,2,8,4]
[3,4,8,5,2,6,7,1]=>[1,7,6,2,5,8,4,3]
[4,2,1,8,5,6,7,3]=>[3,7,6,5,8,1,2,4]
[1,5,4,8,2,6,7,3]=>[3,7,6,2,8,4,5,1]
[7,2,1,5,8,6,3,4]=>[4,3,6,8,5,1,2,7]
[2,8,4,5,1,6,7,3]=>[3,7,6,1,5,4,8,2]
[5,4,8,3,7,6,1,2]=>[2,1,6,7,3,8,4,5]
[3,1,5,8,6,2,7,4]=>[4,7,2,6,8,5,1,3]
[6,3,4,8,5,1,7,2]=>[2,7,1,5,8,4,3,6]
[5,3,4,8,1,6,7,2]=>[2,7,6,1,8,4,3,5]
[7,6,1,2,8,3,5,4]=>[4,5,3,8,2,1,6,7]
[7,5,8,4,1,2,6,3]=>[3,6,2,1,4,8,5,7]
[7,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,7]
[6,5,4,8,7,1,3,2]=>[2,3,1,7,8,4,5,6]
[6,5,4,8,1,2,7,3]=>[3,7,2,1,8,4,5,6]
[7,5,1,6,2,3,8,4]=>[4,8,3,2,6,1,5,7]
[7,5,1,6,8,2,4,3]=>[3,4,2,8,6,1,5,7]
[6,5,4,1,8,2,7,3]=>[3,7,2,8,1,4,5,6]
[6,5,4,7,1,2,8,3]=>[3,8,2,1,7,4,5,6]
[6,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,6]
[6,5,3,7,1,4,2,8]=>[8,2,4,1,7,3,5,6]
[6,5,3,1,8,4,2,7]=>[7,2,4,8,1,3,5,6]
[7,5,1,4,8,3,2,6]=>[6,2,3,8,4,1,5,7]
[8,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,8]
[7,5,1,4,8,3,6,2]=>[2,6,3,8,4,1,5,7]
[6,5,3,7,1,4,8,2]=>[2,8,4,1,7,3,5,6]
[6,4,3,1,5,8,7,2]=>[2,7,8,5,1,3,4,6]
[7,4,1,5,3,8,6,2]=>[2,6,8,3,5,1,4,7]
[8,1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1,8]
[8,1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1,8]
[7,4,1,5,3,8,2,6]=>[6,2,8,3,5,1,4,7]
[7,4,1,5,3,2,6,8]=>[8,6,2,3,5,1,4,7]
[8,1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1,8]
[8,1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1,8]
[6,5,3,1,2,7,4,8]=>[8,4,7,2,1,3,5,6]
[6,5,3,8,1,4,2,7]=>[7,2,4,1,8,3,5,6]
[7,6,8,1,4,3,2,5]=>[5,2,3,4,1,8,6,7]
[8,1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1,8]
[8,1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1,8]
[7,6,1,2,5,4,8,3]=>[3,8,4,5,2,1,6,7]
[6,5,3,8,1,4,7,2]=>[2,7,4,1,8,3,5,6]
[6,5,3,1,2,7,8,4]=>[4,8,7,2,1,3,5,6]
[7,5,1,4,2,6,8,3]=>[3,8,6,2,4,1,5,7]
[8,1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1,8]
[7,4,1,5,3,2,8,6]=>[6,8,2,3,5,1,4,7]
[6,4,3,1,5,2,8,7]=>[7,8,2,5,1,3,4,6]
[6,4,3,1,5,7,2,8]=>[8,2,7,5,1,3,4,6]
[7,4,1,5,3,6,2,8]=>[8,2,6,3,5,1,4,7]
[8,1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1,8]
[8,1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1,8]
[7,4,1,5,3,6,8,2]=>[2,8,6,3,5,1,4,7]
[6,4,3,1,5,7,8,2]=>[2,8,7,5,1,3,4,6]
[6,7,3,8,4,5,1,2]=>[2,1,5,4,8,3,7,6]
[4,7,5,6,2,3,1,8]=>[8,1,3,2,6,5,7,4]
[4,7,5,6,1,8,2,3]=>[3,2,8,1,6,5,7,4]
[4,7,5,6,3,8,1,2]=>[2,1,8,3,6,5,7,4]
[3,7,5,8,4,6,1,2]=>[2,1,6,4,8,5,7,3]
[4,5,3,8,6,7,1,2]=>[2,1,7,6,8,3,5,4]
[4,8,3,6,5,7,1,2]=>[2,1,7,5,6,3,8,4]
[5,6,4,7,1,8,2,3]=>[3,2,8,1,7,4,6,5]
[5,6,1,7,3,8,2,4]=>[4,2,8,3,7,1,6,5]
[5,6,1,8,2,7,3,4]=>[4,3,7,2,8,1,6,5]
[5,6,1,8,4,7,2,3]=>[3,2,7,4,8,1,6,5]
[4,8,1,6,5,7,2,3]=>[3,2,7,5,6,1,8,4]
[4,5,1,8,6,7,2,3]=>[3,2,7,6,8,1,5,4]
[7,8,4,5,1,6,2,3]=>[3,2,6,1,5,4,8,7]
[4,8,2,3,1,6,5,7]=>[7,5,6,1,3,2,8,4]
[5,6,2,8,1,4,3,7]=>[7,3,4,1,8,2,6,5]
[5,6,3,4,1,8,2,7]=>[7,2,8,1,4,3,6,5]
[3,6,4,5,2,7,1,8]=>[8,1,7,2,5,4,6,3]
[3,6,4,5,1,8,2,7]=>[7,2,8,1,5,4,6,3]
[2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]
[2,8,3,6,1,5,4,7]=>[7,4,5,1,6,3,8,2]
[2,8,3,4,1,6,5,7]=>[7,5,6,1,4,3,8,2]
[7,8,2,5,3,4,1,6]=>[6,1,4,3,5,2,8,7]
[7,8,1,5,3,6,2,4]=>[4,2,6,3,5,1,8,7]
[1,5,3,8,6,7,2,4]=>[4,2,7,6,8,3,5,1]
[1,8,3,6,2,7,4,5]=>[5,4,7,2,6,3,8,1]
[1,6,4,8,2,7,3,5]=>[5,3,7,2,8,4,6,1]
[2,6,4,7,3,5,1,8]=>[8,1,5,3,7,4,6,2]
[2,7,3,6,4,5,1,8]=>[8,1,5,4,6,3,7,2]
[1,7,3,6,4,8,2,5]=>[5,2,8,4,6,3,7,1]
[1,7,2,8,4,6,3,5]=>[5,3,6,4,8,2,7,1]
[1,7,5,8,4,6,2,3]=>[3,2,6,4,8,5,7,1]
[1,7,5,8,2,6,3,4]=>[4,3,6,2,8,5,7,1]
[1,7,5,6,3,8,2,4]=>[4,2,8,3,6,5,7,1]
[2,7,5,6,3,4,1,8]=>[8,1,4,3,6,5,7,2]
[6,7,2,5,3,4,1,8]=>[8,1,4,3,5,2,7,6]
[6,7,1,5,3,8,2,4]=>[4,2,8,3,5,1,7,6]
[6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]
[5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]
[6,7,2,3,1,8,4,5]=>[5,4,8,1,3,2,7,6]
[6,7,2,8,1,4,3,5]=>[5,3,4,1,8,2,7,6]
[3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]
[3,4,1,7,5,8,2,6]=>[6,2,8,5,7,1,4,3]
[2,7,5,8,1,4,3,6]=>[6,3,4,1,8,5,7,2]
[2,3,1,7,5,8,4,6]=>[6,4,8,5,7,1,3,2]
[2,3,1,8,4,7,5,6]=>[6,5,7,4,8,1,3,2]
[7,8,2,3,1,6,4,5]=>[5,4,6,1,3,2,8,7]
[7,8,2,6,1,4,3,5]=>[5,3,4,1,6,2,8,7]
[2,8,6,7,1,4,3,5]=>[5,3,4,1,7,6,8,2]
[2,8,1,4,3,7,5,6]=>[6,5,7,3,4,1,8,2]
[3,7,2,5,4,6,1,8]=>[8,1,6,4,5,2,7,3]
[4,5,2,7,3,6,1,8]=>[8,1,6,3,7,2,5,4]
[4,5,1,8,2,7,3,6]=>[6,3,7,2,8,1,5,4]
[3,4,1,8,2,7,5,6]=>[6,5,7,2,8,1,4,3]
[3,4,1,8,6,7,2,5]=>[5,2,7,6,8,1,4,3]
[3,4,2,5,1,8,6,7]=>[7,6,8,1,5,2,4,3]
[3,4,2,8,1,6,5,7]=>[7,5,6,1,8,2,4,3]
[3,8,2,5,1,6,4,7]=>[7,4,6,1,5,2,8,3]
[4,5,2,8,1,6,3,7]=>[7,3,6,1,8,2,5,4]
[4,5,3,6,1,8,2,7]=>[7,2,8,1,6,3,5,4]
[7,1,5,8,4,6,2,3]=>[3,2,6,4,8,5,1,7]
[8,6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6,8]
[8,6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6,8]
[8,6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6,8]
[7,6,1,8,3,5,2,4]=>[4,2,5,3,8,1,6,7]
[7,6,1,3,8,5,2,4]=>[4,2,5,8,3,1,6,7]
[7,6,8,2,4,5,1,3]=>[3,1,5,4,2,8,6,7]
[7,6,2,8,3,5,1,4]=>[4,1,5,3,8,2,6,7]
[7,6,2,3,8,5,1,4]=>[4,1,5,8,3,2,6,7]
[8,7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7,8]
[8,7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7,8]
[8,5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5,8]
[8,6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6,8]
[8,6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6,8]
[8,6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6,8]
[6,8,7,3,4,1,5,2]=>[2,5,1,4,3,7,8,6]
[8,7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7,8]
[8,7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7,8]
[8,4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4,8]
[8,5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5,8]
[8,5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5,8]
[5,8,7,3,1,4,2,6]=>[6,2,4,1,3,7,8,5]
[5,8,7,3,1,4,6,2]=>[2,6,4,1,3,7,8,5]
[8,5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5,8]
[8,5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5,8]
[8,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,8]
[8,7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7,8]
[8,7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7,8]
[8,4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4,8]
[8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]
[8,6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6,8]
[8,5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5,8]
[8,5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5,8]
[8,5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5,8]
[8,1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1,8]
[8,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,8]
[6,1,5,8,4,2,7,3]=>[3,7,2,4,8,5,1,6]
[5,8,3,6,4,1,2,7]=>[7,2,1,4,6,3,8,5]
[5,2,8,6,4,1,3,7]=>[7,3,1,4,6,8,2,5]
[8,4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4,8]
[8,4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4,8]
[8,4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4,8]
[8,7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7,8]
[8,3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3,8]
[4,8,6,3,5,1,2,7]=>[7,2,1,5,3,6,8,4]
[4,8,7,3,1,5,2,6]=>[6,2,5,1,3,7,8,4]
[8,4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4,8]
[8,3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3,8]
[8,3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3,8]
[8,7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7,8]
[8,7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7,8]
[8,7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7,8]
[8,7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7,8]
[8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]
[8,3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3,8]
[8,3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3,8]
[8,4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4,8]
[3,8,7,4,1,2,5,6]=>[6,5,2,1,4,7,8,3]
[8,7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7,8]
[8,7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7,8]
[8,7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7,8]
[3,6,5,4,1,2,8,7]=>[7,8,2,1,4,5,6,3]
[3,8,5,6,7,4,1,2]=>[2,1,4,7,6,5,8,3]
[4,7,5,8,6,2,1,3]=>[3,1,2,6,8,5,7,4]
[2,5,7,8,6,3,4,1]=>[1,4,3,6,8,7,5,2]
[4,8,5,7,6,3,1,2]=>[2,1,3,6,7,5,8,4]
[4,6,3,2,1,5,8,7]=>[7,8,5,1,2,3,6,4]
[6,2,1,5,3,4,8,7]=>[7,8,4,3,5,1,2,6]
[5,8,1,3,7,6,4,2]=>[2,4,6,7,3,1,8,5]
[4,7,2,3,6,1,8,5]=>[5,8,1,6,3,2,7,4]
[3,7,4,2,8,1,5,6]=>[6,5,1,8,2,4,7,3]
[4,2,6,8,5,7,3,1]=>[1,3,7,5,8,6,2,4]
[6,4,2,7,3,8,5,1]=>[1,5,8,3,7,2,4,6]
[8,1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1,8]
[2,1,5,8,7,6,3,4]=>[4,3,6,7,8,5,1,2]
[2,1,4,7,6,3,8,5]=>[5,8,3,6,7,4,1,2]
[6,4,7,8,5,3,2,1]=>[1,2,3,5,8,7,4,6]
[4,1,3,7,6,2,8,5]=>[5,8,2,6,7,3,1,4]
[8,5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5,8]
[6,3,7,1,5,2,8,4]=>[4,8,2,5,1,7,3,6]
[3,2,6,8,4,7,5,1]=>[1,5,7,4,8,6,2,3]
[8,4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4,8]
[4,2,8,6,7,3,1,5]=>[5,1,3,7,6,8,2,4]
[7,4,3,8,2,1,5,6]=>[6,5,1,2,8,3,4,7]
[4,7,5,8,1,6,3,2]=>[2,3,6,1,8,5,7,4]
[6,4,3,2,7,8,1,5]=>[5,1,8,7,2,3,4,6]
[4,2,5,1,6,7,8,3]=>[3,8,7,6,1,5,2,4]
[2,4,8,5,7,1,3,6]=>[6,3,1,7,5,8,4,2]
[3,7,1,4,6,8,5,2]=>[2,5,8,6,4,1,7,3]
[7,8,2,5,6,1,4,3]=>[3,4,1,6,5,2,8,7]
[2,4,3,8,7,5,6,1]=>[1,6,5,7,8,3,4,2]
[2,6,7,3,5,1,8,4]=>[4,8,1,5,3,7,6,2]
[7,6,8,4,2,5,3,1]=>[1,3,5,2,4,8,6,7]
[8,5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5,8]
[6,5,7,2,8,4,3,1]=>[1,3,4,8,2,7,5,6]
[3,4,8,6,5,2,1,7]=>[7,1,2,5,6,8,4,3]
[2,7,6,1,4,5,8,3]=>[3,8,5,4,1,6,7,2]
[6,5,8,2,1,7,3,4]=>[4,3,7,1,2,8,5,6]
[7,4,3,5,1,6,8,2]=>[2,8,6,1,5,3,4,7]
[4,1,6,3,5,8,7,2]=>[2,7,8,5,3,6,1,4]
[6,2,5,8,4,3,7,1]=>[1,7,3,4,8,5,2,6]
[8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8]
[2,1,6,5,8,4,7,3]=>[3,7,4,8,5,6,1,2]
[2,1,6,8,5,4,3,7]=>[7,3,4,5,8,6,1,2]
[4,1,8,5,6,2,3,7]=>[7,3,2,6,5,8,1,4]
[2,6,4,8,7,3,5,1]=>[1,5,3,7,8,4,6,2]
[6,2,8,4,3,5,1,7]=>[7,1,5,3,4,8,2,6]
[4,8,2,7,6,1,3,5]=>[5,3,1,6,7,2,8,4]
[3,1,8,2,7,5,4,6]=>[6,4,5,7,2,8,1,3]
[3,8,1,2,6,7,4,5]=>[5,4,7,6,2,1,8,3]
[5,8,4,3,2,7,1,6]=>[6,1,7,2,3,4,8,5]
[7,4,8,6,3,2,5,1]=>[1,5,2,3,6,8,4,7]
[5,8,4,7,2,1,3,6]=>[6,3,1,2,7,4,8,5]
[2,1,8,4,3,7,5,6]=>[6,5,7,3,4,8,1,2]
[6,3,8,2,4,5,7,1]=>[1,7,5,4,2,8,3,6]
[5,8,4,2,3,6,1,7]=>[7,1,6,3,2,4,8,5]
[5,8,2,4,3,1,6,7]=>[7,6,1,3,4,2,8,5]
[2,8,3,1,6,4,5,7]=>[7,5,4,6,1,3,8,2]
[8,2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2,8]
[1,4,8,2,6,3,5,7]=>[7,5,3,6,2,8,4,1]
[1,2,7,3,5,4,8,6]=>[6,8,4,5,3,7,2,1]
[1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1]
[1,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,1]
[1,3,8,2,6,4,5,7]=>[7,5,4,6,2,8,3,1]
[1,5,7,2,3,6,4,8]=>[8,4,6,3,2,7,5,1]
[1,7,2,3,5,4,8,6]=>[6,8,4,5,3,2,7,1]
[1,3,8,2,4,5,7,6]=>[6,7,5,4,2,8,3,1]
[1,2,3,8,4,6,7,5]=>[5,7,6,4,8,3,2,1]
[1,8,2,3,5,4,6,7]=>[7,6,4,5,3,2,8,1]
[1,7,8,2,3,6,4,5]=>[5,4,6,3,2,8,7,1]
[1,6,7,8,2,3,5,4]=>[4,5,3,2,8,7,6,1]
[1,7,8,2,5,3,6,4]=>[4,6,3,5,2,8,7,1]
[1,7,8,2,4,5,3,6]=>[6,3,5,4,2,8,7,1]
[1,2,8,3,6,4,5,7]=>[7,5,4,6,3,8,2,1]
[1,8,2,3,6,4,5,7]=>[7,5,4,6,3,2,8,1]
[1,2,8,3,5,4,6,7]=>[7,6,4,5,3,8,2,1]
[1,2,7,8,3,6,4,5]=>[5,4,6,3,8,7,2,1]
[1,5,2,7,8,3,6,4]=>[4,6,3,8,7,2,5,1]
[1,3,2,8,4,6,7,5]=>[5,7,6,4,8,2,3,1]
[1,8,2,3,4,6,7,5]=>[5,7,6,4,3,2,8,1]
[1,7,8,2,4,3,6,5]=>[5,6,3,4,2,8,7,1]
[7,6,3,1,5,2,4,8]=>[8,4,2,5,1,3,6,7]
[6,7,3,1,5,2,8,4]=>[4,8,2,5,1,3,7,6]
[6,8,3,1,5,2,7,4]=>[4,7,2,5,1,3,8,6]
[6,8,4,5,1,2,7,3]=>[3,7,2,1,5,4,8,6]
[6,7,4,5,1,2,8,3]=>[3,8,2,1,5,4,7,6]
[7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]
[7,3,6,1,5,2,4,8]=>[8,4,2,5,1,6,3,7]
[7,4,6,5,1,2,3,8]=>[8,3,2,1,5,6,4,7]
[6,7,5,4,1,2,8,3]=>[3,8,2,1,4,5,7,6]
[5,8,6,4,1,7,2,3]=>[3,2,7,1,4,6,8,5]
[5,7,6,4,1,8,2,3]=>[3,2,8,1,4,6,7,5]
[5,6,7,4,1,8,2,3]=>[3,2,8,1,4,7,6,5]
[6,5,7,4,1,2,8,3]=>[3,8,2,1,4,7,5,6]
[6,4,7,5,1,2,8,3]=>[3,8,2,1,5,7,4,6]
[6,2,1,7,5,3,8,4]=>[4,8,3,5,7,1,2,6]
[6,3,8,1,5,2,7,4]=>[4,7,2,5,1,8,3,6]
[6,4,8,5,1,2,7,3]=>[3,7,2,1,5,8,4,6]
[6,5,8,4,1,2,7,3]=>[3,7,2,1,4,8,5,6]
[5,6,8,4,1,7,2,3]=>[3,2,7,1,4,8,6,5]
[4,6,8,5,7,1,2,3]=>[3,2,1,7,5,8,6,4]
[4,5,8,6,7,1,2,3]=>[3,2,1,7,6,8,5,4]
[5,4,8,6,1,7,2,3]=>[3,2,7,1,6,8,4,5]
[5,3,8,1,6,7,2,4]=>[4,2,7,6,1,8,3,5]
[5,2,1,8,6,7,3,4]=>[4,3,7,6,8,1,2,5]
[5,2,1,7,6,8,3,4]=>[4,3,8,6,7,1,2,5]
[5,4,7,6,1,8,2,3]=>[3,2,8,1,6,7,4,5]
[4,5,7,6,8,1,2,3]=>[3,2,1,8,6,7,5,4]
[4,6,7,5,8,1,2,3]=>[3,2,1,8,5,7,6,4]
[4,8,6,5,7,1,2,3]=>[3,2,1,7,5,6,8,4]
[4,8,5,6,7,1,2,3]=>[3,2,1,7,6,5,8,4]
[4,7,5,6,8,1,2,3]=>[3,2,1,8,6,5,7,4]
[4,6,5,7,8,1,2,3]=>[3,2,1,8,7,5,6,4]
[5,7,4,6,1,8,2,3]=>[3,2,8,1,6,4,7,5]
[5,8,4,6,1,7,2,3]=>[3,2,7,1,6,4,8,5]
[5,8,3,1,6,7,2,4]=>[4,2,7,6,1,3,8,5]
[5,7,3,1,6,8,2,4]=>[4,2,8,6,1,3,7,5]
[5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]
[6,2,1,4,3,8,7,5]=>[5,7,8,3,4,1,2,6]
[5,8,3,1,7,6,2,4]=>[4,2,6,7,1,3,8,5]
[5,7,4,8,1,6,2,3]=>[3,2,6,1,8,4,7,5]
[5,2,1,6,8,7,3,4]=>[4,3,7,8,6,1,2,5]
[5,4,6,8,1,7,2,3]=>[3,2,7,1,8,6,4,5]
[4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]
[4,7,5,8,6,1,2,3]=>[3,2,1,6,8,5,7,4]
[4,8,5,7,6,1,2,3]=>[3,2,1,6,7,5,8,4]
[4,8,6,7,5,1,2,3]=>[3,2,1,5,7,6,8,4]
[4,7,6,8,5,1,2,3]=>[3,2,1,5,8,6,7,4]
[4,6,7,8,5,1,2,3]=>[3,2,1,5,8,7,6,4]
[4,5,7,8,6,1,2,3]=>[3,2,1,6,8,7,5,4]
[5,4,7,8,1,6,2,3]=>[3,2,6,1,8,7,4,5]
[5,3,7,1,8,6,2,4]=>[4,2,6,8,1,7,3,5]
[5,2,1,7,8,6,3,4]=>[4,3,6,8,7,1,2,5]
[5,3,8,1,7,6,2,4]=>[4,2,6,7,1,8,3,5]
[5,4,8,7,1,6,2,3]=>[3,2,6,1,7,8,4,5]
[4,6,8,7,5,1,2,3]=>[3,2,1,5,7,8,6,4]
[4,7,8,6,5,1,2,3]=>[3,2,1,5,6,8,7,4]
[4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4]
[2,5,4,7,3,6,1,8]=>[8,1,6,3,7,4,5,2]
[2,4,6,3,7,5,1,8]=>[8,1,5,7,3,6,4,2]
[4,2,7,3,6,5,1,8]=>[8,1,5,6,3,7,2,4]
[4,2,6,3,1,5,8,7]=>[7,8,5,1,3,6,2,4]
[2,5,3,1,6,4,8,7]=>[7,8,4,6,1,3,5,2]
[2,5,3,7,6,4,1,8]=>[8,1,4,6,7,3,5,2]
[2,6,5,3,7,4,1,8]=>[8,1,4,7,3,5,6,2]
[4,2,7,6,3,5,1,8]=>[8,1,5,3,6,7,2,4]
[2,7,5,3,6,4,1,8]=>[8,1,4,6,3,5,7,2]
[2,6,3,7,5,4,1,8]=>[8,1,4,5,7,3,6,2]
[1,7,5,2,3,8,4,6]=>[6,4,8,3,2,5,7,1]
[2,1,3,7,5,4,8,6]=>[6,8,4,5,7,3,1,2]
[2,3,1,8,6,5,4,7]=>[7,4,5,6,8,1,3,2]
[2,5,3,1,8,6,4,7]=>[7,4,6,8,1,3,5,2]
[4,2,8,3,1,6,5,7]=>[7,5,6,1,3,8,2,4]
[8,3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3,8]
[3,6,8,2,1,4,5,7]=>[7,5,4,1,2,8,6,3]
[1,5,2,8,3,4,7,6]=>[6,7,4,3,8,2,5,1]
[1,2,6,3,8,7,4,5]=>[5,4,7,8,3,6,2,1]
[1,2,8,3,6,4,7,5]=>[5,7,4,6,3,8,2,1]
[1,2,7,6,3,4,8,5]=>[5,8,4,3,6,7,2,1]
[2,1,3,8,7,5,4,6]=>[6,4,5,7,8,3,1,2]
[1,2,3,8,6,4,7,5]=>[5,7,4,6,8,3,2,1]
[1,2,3,7,4,8,6,5]=>[5,6,8,4,7,3,2,1]
[1,2,7,6,3,8,4,5]=>[5,4,8,3,6,7,2,1]
[1,2,3,6,4,8,7,5]=>[5,7,8,4,6,3,2,1]
[1,2,3,7,6,4,8,5]=>[5,8,4,6,7,3,2,1]
[2,6,3,1,8,5,4,7]=>[7,4,5,8,1,3,6,2]
[2,1,3,8,5,4,7,6]=>[6,7,4,5,8,3,1,2]
[7,1,8,4,2,3,5,6]=>[6,5,3,2,4,8,1,7]
[2,1,8,4,3,5,7,6]=>[6,7,5,3,4,8,1,2]
[4,2,6,3,1,8,5,7]=>[7,5,8,1,3,6,2,4]
[5,4,2,8,3,1,6,7]=>[7,6,1,3,8,2,4,5]
[3,5,8,2,4,1,6,7]=>[7,6,1,4,2,8,5,3]
[2,5,4,8,3,1,6,7]=>[7,6,1,3,8,4,5,2]
[4,2,1,8,3,5,7,6]=>[6,7,5,3,8,1,2,4]
[1,8,7,4,2,3,5,6]=>[6,5,3,2,4,7,8,1]
[1,5,2,8,7,3,4,6]=>[6,4,3,7,8,2,5,1]
[1,2,7,3,6,4,8,5]=>[5,8,4,6,3,7,2,1]
[1,2,8,6,3,7,4,5]=>[5,4,7,3,6,8,2,1]
[1,2,7,3,8,6,4,5]=>[5,4,6,8,3,7,2,1]
[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]
[1,2,7,3,4,8,6,5]=>[5,6,8,4,3,7,2,1]
[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]
[1,5,2,3,8,7,4,6]=>[6,4,7,8,3,2,5,1]
[4,2,1,8,3,7,5,6]=>[6,5,7,3,8,1,2,4]
[8,3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3,8]
[1,8,4,2,7,3,5,6]=>[6,5,3,7,2,4,8,1]
[1,2,8,6,3,4,7,5]=>[5,7,4,3,6,8,2,1]
[1,2,7,3,8,4,6,5]=>[5,6,4,8,3,7,2,1]
[1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]
[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]
[2,5,3,8,1,6,4,7]=>[7,4,6,1,8,3,5,2]
[2,6,4,7,1,5,3,8]=>[8,3,5,1,7,4,6,2]
[2,6,5,7,1,4,3,8]=>[8,3,4,1,7,5,6,2]
[3,8,5,7,2,6,4,1]=>[1,4,6,2,7,5,8,3]
[3,4,8,6,1,2,5,7]=>[7,5,2,1,6,8,4,3]
[2,5,7,1,4,8,6,3]=>[3,6,8,4,1,7,5,2]
[2,4,8,1,5,7,6,3]=>[3,6,7,5,1,8,4,2]
[2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]
[2,8,1,7,5,6,4,3]=>[3,4,6,5,7,1,8,2]
[2,3,8,1,6,5,7,4]=>[4,7,5,6,1,8,3,2]
[2,4,8,1,3,5,7,6]=>[6,7,5,3,1,8,4,2]
[3,5,7,6,1,2,4,8]=>[8,4,2,1,6,7,5,3]
[3,5,7,6,2,4,8,1]=>[1,8,4,2,6,7,5,3]
[4,8,6,7,2,3,5,1]=>[1,5,3,2,7,6,8,4]
[4,8,6,7,1,2,3,5]=>[5,3,2,1,7,6,8,4]
[4,8,6,7,1,3,5,2]=>[2,5,3,1,7,6,8,4]
[3,4,8,6,1,5,7,2]=>[2,7,5,1,6,8,4,3]
[3,8,5,7,1,6,4,2]=>[2,4,6,1,7,5,8,3]
[3,2,8,5,6,1,7,4]=>[4,7,1,6,5,8,2,3]
[3,8,5,7,2,1,6,4]=>[4,6,1,2,7,5,8,3]
[3,4,8,6,2,1,5,7]=>[7,5,1,2,6,8,4,3]
[3,5,7,6,2,1,4,8]=>[8,4,1,2,6,7,5,3]
[4,8,6,7,2,1,3,5]=>[5,3,1,2,7,6,8,4]
[4,8,6,7,3,5,2,1]=>[1,2,5,3,7,6,8,4]
[5,8,6,7,3,4,2,1]=>[1,2,4,3,7,6,8,5]
[5,8,6,7,2,1,3,4]=>[4,3,1,2,7,6,8,5]
[5,8,6,7,2,1,4,3]=>[3,4,1,2,7,6,8,5]
[4,8,6,7,2,1,5,3]=>[3,5,1,2,7,6,8,4]
[4,3,1,7,5,2,8,6]=>[6,8,2,5,7,1,3,4]
[4,3,2,8,5,1,7,6]=>[6,7,1,5,8,2,3,4]
[4,3,8,5,1,6,7,2]=>[2,7,6,1,5,8,3,4]
[4,8,6,7,1,5,3,2]=>[2,3,5,1,7,6,8,4]
[5,8,6,7,1,4,3,2]=>[2,3,4,1,7,6,8,5]
[5,8,6,7,2,3,4,1]=>[1,4,3,2,7,6,8,5]
[5,8,6,7,2,4,3,1]=>[1,3,4,2,7,6,8,5]
[5,8,6,7,1,2,4,3]=>[3,4,2,1,7,6,8,5]
[4,2,3,8,5,1,6,7]=>[7,6,1,5,8,3,2,4]
[4,2,8,5,1,7,6,3]=>[3,6,7,1,5,8,2,4]
[3,4,2,8,5,6,1,7]=>[7,1,6,5,8,2,4,3]
[3,2,4,8,6,1,5,7]=>[7,5,1,6,8,4,2,3]
[3,2,5,7,6,1,4,8]=>[8,4,1,6,7,5,2,3]
[4,8,6,7,1,3,2,5]=>[5,2,3,1,7,6,8,4]
[4,8,6,7,1,2,5,3]=>[3,5,2,1,7,6,8,4]
[4,8,6,7,2,5,3,1]=>[1,3,5,2,7,6,8,4]
[4,3,8,5,2,6,7,1]=>[1,7,6,2,5,8,3,4]
[4,3,8,5,1,2,6,7]=>[7,6,2,1,5,8,3,4]
[4,2,6,7,5,1,3,8]=>[8,3,1,5,7,6,2,4]
[3,8,5,7,1,4,2,6]=>[6,2,4,1,7,5,8,3]
[3,8,4,7,1,5,2,6]=>[6,2,5,1,7,4,8,3]
[3,5,2,8,4,6,1,7]=>[7,1,6,4,8,2,5,3]
[3,5,1,7,4,6,2,8]=>[8,2,6,4,7,1,5,3]
[3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]
[4,1,3,8,5,2,6,7]=>[7,6,2,5,8,3,1,4]
[4,1,2,6,7,5,3,8]=>[8,3,5,7,6,2,1,4]
[4,2,6,7,5,3,8,1]=>[1,8,3,5,7,6,2,4]
[4,8,6,7,3,2,5,1]=>[1,5,2,3,7,6,8,4]
[4,8,6,7,3,1,2,5]=>[5,2,1,3,7,6,8,4]
[3,1,5,7,6,2,4,8]=>[8,4,2,6,7,5,1,3]
[3,4,1,7,5,6,2,8]=>[8,2,6,5,7,1,4,3]
[4,1,7,5,2,8,6,3]=>[3,6,8,2,5,7,1,4]
[4,1,6,7,5,2,3,8]=>[8,3,2,5,7,6,1,4]
[4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]
[5,8,6,7,3,2,4,1]=>[1,4,2,3,7,6,8,5]
[5,8,6,7,4,2,3,1]=>[1,3,2,4,7,6,8,5]
[5,8,6,7,4,1,2,3]=>[3,2,1,4,7,6,8,5]
[5,8,6,7,4,1,3,2]=>[2,3,1,4,7,6,8,5]
[5,8,6,7,3,1,4,2]=>[2,4,1,3,7,6,8,5]
[4,8,6,7,3,1,5,2]=>[2,5,1,3,7,6,8,4]
[4,1,6,7,5,3,8,2]=>[2,8,3,5,7,6,1,4]
[4,1,7,5,3,2,8,6]=>[6,8,2,3,5,7,1,4]
[4,2,8,5,3,1,7,6]=>[6,7,1,3,5,8,2,4]
[4,2,1,6,7,5,3,8]=>[8,3,5,7,6,1,2,4]
[4,8,6,7,3,2,1,5]=>[5,1,2,3,7,6,8,4]
[5,8,6,7,4,2,1,3]=>[3,1,2,4,7,6,8,5]
[5,8,6,7,4,3,1,2]=>[2,1,3,4,7,6,8,5]
[7,3,5,8,1,4,2,6]=>[6,2,4,1,8,5,3,7]
[3,8,7,6,1,4,2,5]=>[5,2,4,1,6,7,8,3]
[5,1,8,3,6,7,2,4]=>[4,2,7,6,3,8,1,5]
[1,4,7,8,5,6,2,3]=>[3,2,6,5,8,7,4,1]
[3,4,7,1,5,8,6,2]=>[2,6,8,5,1,7,4,3]
[3,6,1,4,7,8,5,2]=>[2,5,8,7,4,1,6,3]
[1,6,8,4,7,5,2,3]=>[3,2,5,7,4,8,6,1]
[6,8,1,3,5,7,2,4]=>[4,2,7,5,3,1,8,6]
[7,6,1,4,3,8,2,5]=>[5,2,8,3,4,1,6,7]
[3,8,1,6,5,4,2,7]=>[7,2,4,5,6,1,8,3]
[4,1,3,7,5,8,2,6]=>[6,2,8,5,7,3,1,4]
[6,1,7,3,8,4,2,5]=>[5,2,4,8,3,7,1,6]
[7,1,8,6,3,5,2,4]=>[4,2,5,3,6,8,1,7]
[3,1,7,6,5,8,4,2]=>[2,4,8,5,6,7,1,3]
[8,2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2,8]
[8,4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4,8]
[4,8,1,6,7,5,3,2]=>[2,3,5,7,6,1,8,4]
[7,4,1,6,8,2,5,3]=>[3,5,2,8,6,1,4,7]
[1,3,8,6,2,7,5,4]=>[4,5,7,2,6,8,3,1]
[6,1,3,2,7,8,4,5]=>[5,4,8,7,2,3,1,6]
[1,8,6,2,5,3,4,7]=>[7,4,3,5,2,6,8,1]
[4,7,2,6,8,1,5,3]=>[3,5,1,8,6,2,7,4]
[8,7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7,8]
[5,7,8,6,2,1,4,3]=>[3,4,1,2,6,8,7,5]
[2,7,4,1,6,8,3,5]=>[5,3,8,6,1,4,7,2]
[3,7,2,4,5,1,6,8]=>[8,6,1,5,4,2,7,3]
[1,8,6,4,5,2,3,7]=>[7,3,2,5,4,6,8,1]
[2,8,4,6,5,1,3,7]=>[7,3,1,5,6,4,8,2]
[3,4,1,7,5,2,6,8]=>[8,6,2,5,7,1,4,3]
[7,5,8,6,1,2,4,3]=>[3,4,2,1,6,8,5,7]
[5,6,8,7,3,1,4,2]=>[2,4,1,3,7,8,6,5]
[2,5,4,3,6,8,1,7]=>[7,1,8,6,3,4,5,2]
[3,8,5,4,6,2,1,7]=>[7,1,2,6,4,5,8,3]
[4,8,2,1,3,7,5,6]=>[6,5,7,3,1,2,8,4]
[6,4,1,2,7,5,8,3]=>[3,8,5,7,2,1,4,6]
[4,1,8,3,6,7,5,2]=>[2,5,7,6,3,8,1,4]
[8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]
[4,3,7,8,5,1,6,2]=>[2,6,1,5,8,7,3,4]
[5,4,8,2,7,6,1,3]=>[3,1,6,7,2,8,4,5]
[1,2,7,3,6,5,8,4]=>[4,8,5,6,3,7,2,1]
[2,8,7,6,3,4,1,5]=>[5,1,4,3,6,7,8,2]
[5,8,2,6,3,4,1,7]=>[7,1,4,3,6,2,8,5]
[4,1,7,5,8,6,2,3]=>[3,2,6,8,5,7,1,4]
[5,1,7,8,4,3,6,2]=>[2,6,3,4,8,7,1,5]
[8,2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2,8]
[6,3,8,1,4,7,5,2]=>[2,5,7,4,1,8,3,6]
[3,8,4,5,6,1,2,7]=>[7,2,1,6,5,4,8,3]
[1,4,3,5,7,8,2,6]=>[6,2,8,7,5,3,4,1]
[6,5,8,7,1,3,4,2]=>[2,4,3,1,7,8,5,6]
[3,6,7,2,4,8,1,5]=>[5,1,8,4,2,7,6,3]
[1,5,2,7,4,3,8,6]=>[6,8,3,4,7,2,5,1]
[2,8,5,6,4,3,1,7]=>[7,1,3,4,6,5,8,2]
[1,8,6,5,4,3,2,7]=>[7,2,3,4,5,6,8,1]
[6,1,5,2,8,4,7,3]=>[3,7,4,8,2,5,1,6]
[4,6,1,8,5,7,2,3]=>[3,2,7,5,8,1,6,4]
[4,7,1,2,8,5,6,3]=>[3,6,5,8,2,1,7,4]
[1,4,7,2,8,5,6,3]=>[3,6,5,8,2,7,4,1]
[1,7,3,5,8,6,2,4]=>[4,2,6,8,5,3,7,1]
[7,3,5,8,6,1,2,4]=>[4,2,1,6,8,5,3,7]
[3,6,8,1,5,7,2,4]=>[4,2,7,5,1,8,6,3]
[3,4,6,5,8,1,7,2]=>[2,7,1,8,5,6,4,3]
[6,8,1,5,7,2,3,4]=>[4,3,2,7,5,1,8,6]
[7,1,2,5,8,6,3,4]=>[4,3,6,8,5,2,1,7]
[1,7,2,5,8,6,3,4]=>[4,3,6,8,5,2,7,1]
[1,7,6,8,2,3,5,4]=>[4,5,3,2,8,6,7,1]
[7,6,8,1,2,3,5,4]=>[4,5,3,2,1,8,6,7]
[2,7,1,5,8,6,3,4]=>[4,3,6,8,5,1,7,2]
[2,4,7,1,8,5,6,3]=>[3,6,5,8,1,7,4,2]
[4,7,5,8,3,1,6,2]=>[2,6,1,3,8,5,7,4]
[4,7,2,1,8,5,6,3]=>[3,6,5,8,1,2,7,4]
[7,6,8,2,1,3,5,4]=>[4,5,3,1,2,8,6,7]
[1,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,1]
[3,7,6,8,2,1,5,4]=>[4,5,1,2,8,6,7,3]
[7,4,2,1,6,8,5,3]=>[3,5,8,6,1,2,4,7]
[6,7,4,1,8,5,3,2]=>[2,3,5,8,1,4,7,6]
[6,7,4,3,1,8,5,2]=>[2,5,8,1,3,4,7,6]
[2,7,4,1,6,8,5,3]=>[3,5,8,6,1,4,7,2]
[2,3,7,6,8,1,5,4]=>[4,5,1,8,6,7,3,2]
[7,4,2,6,8,5,1,3]=>[3,1,5,8,6,2,4,7]
[7,3,2,5,8,6,1,4]=>[4,1,6,8,5,2,3,7]
[3,1,7,6,8,2,5,4]=>[4,5,2,8,6,7,1,3]
[3,7,6,8,1,2,5,4]=>[4,5,2,1,8,6,7,3]
[1,3,7,6,8,2,5,4]=>[4,5,2,8,6,7,3,1]
[1,7,4,2,6,8,5,3]=>[3,5,8,6,2,4,7,1]
[7,4,1,2,6,8,5,3]=>[3,5,8,6,2,1,4,7]
[7,1,4,2,8,5,6,3]=>[3,6,5,8,2,4,1,7]
[7,1,8,2,5,4,6,3]=>[3,6,4,5,2,8,1,7]
[7,3,8,4,6,1,5,2]=>[2,5,1,6,4,8,3,7]
[7,2,8,1,6,4,5,3]=>[3,5,4,6,1,8,2,7]
[7,1,6,8,5,4,2,3]=>[3,2,4,5,8,6,1,7]
[7,1,2,6,8,5,4,3]=>[3,4,5,8,6,2,1,7]
[1,7,2,6,8,5,4,3]=>[3,4,5,8,6,2,7,1]
[1,7,6,8,3,2,5,4]=>[4,5,2,3,8,6,7,1]
[7,6,8,3,1,2,5,4]=>[4,5,2,1,3,8,6,7]
[7,1,5,8,6,3,2,4]=>[4,2,3,6,8,5,1,7]
[7,2,5,8,6,3,1,4]=>[4,1,3,6,8,5,2,7]
[3,6,7,1,8,5,4,2]=>[2,4,5,8,1,7,6,3]
[7,2,6,8,5,4,1,3]=>[3,1,4,5,8,6,2,7]
[7,6,8,2,3,1,5,4]=>[4,5,1,3,2,8,6,7]
[2,7,6,8,3,1,5,4]=>[4,5,1,3,8,6,7,2]
[2,7,1,6,8,5,4,3]=>[3,4,5,8,6,1,7,2]
[6,7,3,1,8,5,4,2]=>[2,4,5,8,1,3,7,6]
[6,7,1,8,5,4,3,2]=>[2,3,4,5,8,1,7,6]
[7,2,1,6,8,5,4,3]=>[3,4,5,8,6,1,2,7]
[7,6,8,3,2,1,5,4]=>[4,5,1,2,3,8,6,7]
[4,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,4]
[4,6,5,8,7,1,3,2]=>[2,3,1,7,8,5,6,4]
[5,6,4,8,1,2,7,3]=>[3,7,2,1,8,4,6,5]
[8,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,8]
[6,4,5,1,8,2,7,3]=>[3,7,2,8,1,5,4,6]
[5,4,6,7,1,2,8,3]=>[3,8,2,1,7,6,4,5]
[4,3,6,7,2,1,5,8]=>[8,5,1,2,7,6,3,4]
[5,3,6,7,1,4,2,8]=>[8,2,4,1,7,6,3,5]
[8,1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1,8]
[8,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,8]
[7,2,1,6,8,4,5,3]=>[3,5,4,8,6,1,2,7]
[5,2,6,7,1,4,8,3]=>[3,8,4,1,7,6,2,5]
[4,2,6,7,3,1,8,5]=>[5,8,1,3,7,6,2,4]
[6,2,4,1,5,8,7,3]=>[3,7,8,5,1,4,2,6]
[7,2,1,5,4,8,6,3]=>[3,6,8,4,5,1,2,7]
[8,1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1,8]
[7,3,1,5,4,8,2,6]=>[6,2,8,4,5,1,3,7]
[6,3,4,1,5,8,2,7]=>[7,2,8,5,1,4,3,6]
[5,3,4,2,1,8,6,7]=>[7,6,8,1,2,4,3,5]
[4,3,5,2,7,1,6,8]=>[8,6,1,7,2,5,3,4]
[5,6,3,8,1,4,2,7]=>[7,2,4,1,8,3,6,5]
[8,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,8]
[7,6,1,2,4,5,8,3]=>[3,8,5,4,2,1,6,7]
[4,7,8,2,3,1,6,5]=>[5,6,1,3,2,8,7,4]
[5,6,2,8,1,4,7,3]=>[3,7,4,1,8,2,6,5]
[6,5,2,1,3,7,8,4]=>[4,8,7,3,1,2,5,6]
[7,5,1,3,2,6,8,4]=>[4,8,6,2,3,1,5,7]
[8,1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1,8]
[7,4,1,3,5,2,8,6]=>[6,8,2,5,3,1,4,7]
[5,4,2,3,1,6,8,7]=>[7,8,6,1,3,2,4,5]
[7,3,1,4,5,6,2,8]=>[8,2,6,5,4,1,3,7]
[8,1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1,8]
[6,2,3,1,5,7,8,4]=>[4,8,7,5,1,3,2,6]
[7,8,4,2,1,6,5,3]=>[3,5,6,1,2,4,8,7]
[7,8,4,2,1,5,6,3]=>[3,6,5,1,2,4,8,7]
[6,2,3,4,8,7,1,5]=>[5,1,7,8,4,3,2,6]
[6,2,3,4,7,8,1,5]=>[5,1,8,7,4,3,2,6]
[7,8,3,4,6,2,1,5]=>[5,1,2,6,4,3,8,7]
[7,8,3,6,4,2,1,5]=>[5,1,2,4,6,3,8,7]
[7,8,3,5,6,2,1,4]=>[4,1,2,6,5,3,8,7]
[6,2,3,8,7,5,1,4]=>[4,1,5,7,8,3,2,6]
[6,2,3,7,8,5,1,4]=>[4,1,5,8,7,3,2,6]
[5,2,6,3,8,1,7,4]=>[4,7,1,8,3,6,2,5]
[6,3,2,5,8,7,1,4]=>[4,1,7,8,5,2,3,6]
[6,3,2,8,4,7,1,5]=>[5,1,7,4,8,2,3,6]
[6,4,3,8,7,5,1,2]=>[2,1,5,7,8,3,4,6]
[6,4,3,7,8,5,1,2]=>[2,1,5,8,7,3,4,6]
[6,2,4,1,7,3,5,8]=>[8,5,3,7,1,4,2,6]
[6,3,2,7,4,8,1,5]=>[5,1,8,4,7,2,3,6]
[6,3,2,5,7,8,1,4]=>[4,1,8,7,5,2,3,6]
[5,7,2,3,6,1,8,4]=>[4,8,1,6,3,2,7,5]
[5,8,2,3,6,1,7,4]=>[4,7,1,6,3,2,8,5]
[4,7,5,8,3,2,1,6]=>[6,1,2,3,8,5,7,4]
[4,5,6,8,3,2,1,7]=>[7,1,2,3,8,6,5,4]
[4,6,8,5,3,2,1,7]=>[7,1,2,3,5,8,6,4]
[5,6,1,4,2,3,7,8]=>[8,7,3,2,4,1,6,5]
[5,6,8,4,3,7,1,2]=>[2,1,7,3,4,8,6,5]
[5,6,1,4,2,3,8,7]=>[7,8,3,2,4,1,6,5]
[5,2,8,3,4,1,7,6]=>[6,7,1,4,3,8,2,5]
[4,5,8,6,3,2,1,7]=>[7,1,2,3,6,8,5,4]
[4,6,5,8,3,2,1,7]=>[7,1,2,3,8,5,6,4]
[4,7,5,6,3,2,1,8]=>[8,1,2,3,6,5,7,4]
[6,2,3,4,5,8,1,7]=>[7,1,8,5,4,3,2,6]
[5,1,4,3,6,2,8,7]=>[7,8,2,6,3,4,1,5]
[5,1,4,3,7,2,8,6]=>[6,8,2,7,3,4,1,5]
[5,1,4,3,8,2,7,6]=>[6,7,2,8,3,4,1,5]
[5,6,2,4,1,7,8,3]=>[3,8,7,1,4,2,6,5]
[5,6,2,4,1,8,7,3]=>[3,7,8,1,4,2,6,5]
[5,7,2,4,1,8,6,3]=>[3,6,8,1,4,2,7,5]
[6,1,4,2,8,7,5,3]=>[3,5,7,8,2,4,1,6]
[6,1,4,2,7,8,5,3]=>[3,5,8,7,2,4,1,6]
[5,8,2,4,1,7,6,3]=>[3,6,7,1,4,2,8,5]
[5,2,7,4,1,6,8,3]=>[3,8,6,1,4,7,2,5]
[5,4,1,3,7,2,6,8]=>[8,6,2,7,3,1,4,5]
[5,8,6,4,3,7,1,2]=>[2,1,7,3,4,6,8,5]
[5,8,1,4,2,3,7,6]=>[6,7,3,2,4,1,8,5]
[5,1,6,3,4,2,7,8]=>[8,7,2,4,3,6,1,5]
[4,8,6,5,3,2,1,7]=>[7,1,2,3,5,6,8,4]
[4,8,5,6,3,2,1,7]=>[7,1,2,3,6,5,8,4]
[5,4,7,8,3,2,1,6]=>[6,1,2,3,8,7,4,5]
[5,4,8,7,3,2,1,6]=>[6,1,2,3,7,8,4,5]
[4,6,8,7,3,2,1,5]=>[5,1,2,3,7,8,6,4]
[4,6,7,8,3,2,1,5]=>[5,1,2,3,8,7,6,4]
[4,7,6,8,3,2,1,5]=>[5,1,2,3,8,6,7,4]
[4,7,8,5,3,2,1,6]=>[6,1,2,3,5,8,7,4]
[5,7,1,3,4,2,6,8]=>[8,6,2,4,3,1,7,5]
[5,1,8,4,2,3,6,7]=>[7,6,3,2,4,8,1,5]
[5,1,7,4,2,3,6,8]=>[8,6,3,2,4,7,1,5]
[5,8,1,3,4,2,6,7]=>[7,6,2,4,3,1,8,5]
[4,8,7,5,3,2,1,6]=>[6,1,2,3,5,7,8,4]
[4,7,8,6,3,2,1,5]=>[5,1,2,3,6,8,7,4]
[4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]
[4,8,2,6,3,7,5,1]=>[1,5,7,3,6,2,8,4]
[4,8,2,3,6,7,5,1]=>[1,5,7,6,3,2,8,4]
[4,8,3,1,6,7,5,2]=>[2,5,7,6,1,3,8,4]
[4,3,8,1,6,2,5,7]=>[7,5,2,6,1,8,3,4]
[1,4,8,7,3,5,2,6]=>[6,2,5,3,7,8,4,1]
[4,3,8,7,2,5,1,6]=>[6,1,5,2,7,8,3,4]
[5,8,4,3,7,1,6,2]=>[2,6,1,7,3,4,8,5]
[5,8,1,4,7,2,6,3]=>[3,6,2,7,4,1,8,5]
[5,8,1,7,4,2,3,6]=>[6,3,2,4,7,1,8,5]
[6,8,1,2,4,3,5,7]=>[7,5,3,4,2,1,8,6]
[5,8,7,1,3,4,2,6]=>[6,2,4,3,1,7,8,5]
[4,8,7,6,3,1,2,5]=>[5,2,1,3,6,7,8,4]
[5,8,4,7,3,1,2,6]=>[6,2,1,3,7,4,8,5]
[4,3,8,2,7,5,6,1]=>[1,6,5,7,2,8,3,4]
[1,4,8,3,7,5,6,2]=>[2,6,5,7,3,8,4,1]
[1,4,3,8,2,6,5,7]=>[7,5,6,2,8,3,4,1]
[4,3,2,8,1,6,5,7]=>[7,5,6,1,8,2,3,4]
[4,1,3,8,2,6,5,7]=>[7,5,6,2,8,3,1,4]
[4,1,8,3,7,5,6,2]=>[2,6,5,7,3,8,1,4]
[4,1,8,7,3,5,2,6]=>[6,2,5,3,7,8,1,4]
[3,7,8,1,5,4,2,6]=>[6,2,4,5,1,8,7,3]
[7,3,8,1,5,4,6,2]=>[2,6,4,5,1,8,3,7]
[3,4,8,1,6,2,5,7]=>[7,5,2,6,1,8,4,3]
[3,4,8,7,2,5,1,6]=>[6,1,5,2,7,8,4,3]
[3,4,8,2,7,5,6,1]=>[1,6,5,7,2,8,4,3]
[1,2,4,8,3,6,5,7]=>[7,5,6,3,8,4,2,1]
[1,2,4,3,8,6,5,7]=>[7,5,6,8,3,4,2,1]
[3,4,2,1,8,6,5,7]=>[7,5,6,8,1,2,4,3]
[3,4,1,8,2,6,5,7]=>[7,5,6,2,8,1,4,3]
[3,6,7,8,4,1,2,5]=>[5,2,1,4,8,7,6,3]
[4,1,7,8,5,3,2,6]=>[6,2,3,5,8,7,1,4]
[4,1,2,8,3,6,5,7]=>[7,5,6,3,8,2,1,4]
[1,4,3,2,8,6,5,7]=>[7,5,6,8,2,3,4,1]
[4,2,3,1,8,6,5,7]=>[7,5,6,8,1,3,2,4]
[3,7,6,8,4,2,1,5]=>[5,1,2,4,8,6,7,3]
[4,7,1,8,5,2,3,6]=>[6,3,2,5,8,1,7,4]
[2,6,8,7,4,3,1,5]=>[5,1,3,4,7,8,6,2]
[3,7,8,6,2,4,1,5]=>[5,1,4,2,6,8,7,3]
[3,7,8,2,6,4,5,1]=>[1,5,4,6,2,8,7,3]
[4,2,3,8,1,6,5,7]=>[7,5,6,1,8,3,2,4]
[4,3,1,8,2,6,5,7]=>[7,5,6,2,8,1,3,4]
[1,4,7,8,5,3,2,6]=>[6,2,3,5,8,7,4,1]
[4,3,7,8,5,2,1,6]=>[6,1,2,5,8,7,3,4]
[3,7,2,8,4,6,5,1]=>[1,5,6,4,8,2,7,3]
[4,2,8,6,3,1,5,7]=>[7,5,1,3,6,8,2,4]
[2,6,8,4,7,3,1,5]=>[5,1,3,7,4,8,6,2]
[2,4,8,6,3,1,5,7]=>[7,5,1,3,6,8,4,2]
[7,3,6,8,4,2,1,5]=>[5,1,2,4,8,6,3,7]
[7,6,2,8,3,5,4,1]=>[1,4,5,3,8,2,6,7]
[1,7,3,8,4,6,5,2]=>[2,5,6,4,8,3,7,1]
[1,3,4,8,2,6,5,7]=>[7,5,6,2,8,4,3,1]
[3,2,4,8,1,6,5,7]=>[7,5,6,1,8,4,2,3]
[7,3,8,6,2,4,1,5]=>[5,1,4,2,6,8,3,7]
[7,3,8,2,6,4,5,1]=>[1,5,4,6,2,8,3,7]
[2,4,8,3,6,1,5,7]=>[7,5,1,6,3,8,4,2]
[6,2,8,7,4,3,5,1]=>[1,5,3,4,7,8,2,6]
[7,4,1,8,5,2,6,3]=>[3,6,2,5,8,1,4,7]
[7,3,2,8,4,6,5,1]=>[1,5,6,4,8,2,3,7]
[2,4,3,1,8,6,5,7]=>[7,5,6,8,1,3,4,2]
[1,3,4,2,8,6,5,7]=>[7,5,6,8,2,4,3,1]
[1,3,2,4,8,6,5,7]=>[7,5,6,8,4,2,3,1]
[3,2,1,4,8,6,5,7]=>[7,5,6,8,4,1,2,3]
[3,1,2,4,8,6,5,7]=>[7,5,6,8,4,2,1,3]
[3,1,4,2,8,6,5,7]=>[7,5,6,8,2,4,1,3]
[3,1,4,8,2,6,5,7]=>[7,5,6,2,8,4,1,3]
[7,3,4,8,5,1,6,2]=>[2,6,1,5,8,4,3,7]
[3,7,4,8,5,1,2,6]=>[6,2,1,5,8,4,7,3]
[6,7,2,8,3,5,4,1]=>[1,4,5,3,8,2,7,6]
[2,3,1,4,8,6,5,7]=>[7,5,6,8,4,1,3,2]
[2,1,3,4,8,6,5,7]=>[7,5,6,8,4,3,1,2]
[1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]
[4,8,3,6,2,1,5,7]=>[7,5,1,2,6,3,8,4]
[3,5,8,2,6,1,4,7]=>[7,4,1,6,2,8,5,3]
[3,6,5,8,2,4,1,7]=>[7,1,4,2,8,5,6,3]
[5,3,8,7,2,4,6,1]=>[1,6,4,2,7,8,3,5]
[2,8,4,5,7,3,6,1]=>[1,6,3,7,5,4,8,2]
[2,4,5,7,3,8,1,6]=>[6,1,8,3,7,5,4,2]
[6,2,4,5,8,3,1,7]=>[7,1,3,8,5,4,2,6]
[4,8,1,2,5,6,3,7]=>[7,3,6,5,2,1,8,4]
[8,1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1,8]
[5,2,1,6,3,8,4,7]=>[7,4,8,3,6,1,2,5]
[6,2,5,1,8,4,3,7]=>[7,3,4,8,1,5,2,6]
[3,6,1,5,8,4,2,7]=>[7,2,4,8,5,1,6,3]
[6,1,4,5,8,3,2,7]=>[7,2,3,8,5,4,1,6]
[5,6,4,8,1,3,2,7]=>[7,2,3,1,8,4,6,5]
[6,5,4,3,8,2,1,7]=>[7,1,2,8,3,4,5,6]
[5,4,3,7,2,8,1,6]=>[6,1,8,2,7,3,4,5]
[5,8,4,3,7,2,6,1]=>[1,6,2,7,3,4,8,5]
[4,6,8,3,7,2,5,1]=>[1,5,2,7,3,8,6,4]
[7,4,6,3,2,8,1,5]=>[5,1,8,2,3,6,4,7]
[1,4,3,6,2,7,8,5]=>[5,8,7,2,6,3,4,1]
[1,5,4,3,7,2,8,6]=>[6,8,2,7,3,4,5,1]
[4,7,8,5,3,1,2,6]=>[6,2,1,3,5,8,7,4]
[5,7,3,4,1,2,8,6]=>[6,8,2,1,4,3,7,5]
[8,5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5,8]
[8,5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5,8]
[4,3,8,1,6,7,5,2]=>[2,5,7,6,1,8,3,4]
[4,7,8,3,6,1,5,2]=>[2,5,1,6,3,8,7,4]
[5,3,8,6,7,4,1,2]=>[2,1,4,7,6,8,3,5]
[1,3,8,6,4,7,5,2]=>[2,5,7,4,6,8,3,1]
[8,6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6,8]
[7,6,2,1,4,3,8,5]=>[5,8,3,4,1,2,6,7]
[7,6,1,3,4,2,8,5]=>[5,8,2,4,3,1,6,7]
[1,5,7,3,2,6,8,4]=>[4,8,6,2,3,7,5,1]
[1,6,7,3,2,5,8,4]=>[4,8,5,2,3,7,6,1]
[3,2,6,8,5,7,4,1]=>[1,4,7,5,8,6,2,3]
[5,8,2,3,6,7,4,1]=>[1,4,7,6,3,2,8,5]
[7,5,2,3,1,6,8,4]=>[4,8,6,1,3,2,5,7]
[1,6,4,7,2,3,8,5]=>[5,8,3,2,7,4,6,1]
[3,1,7,5,2,8,4,6]=>[6,4,8,2,5,7,1,3]
[2,5,7,4,1,8,3,6]=>[6,3,8,1,4,7,5,2]
[4,2,6,1,7,8,3,5]=>[5,3,8,7,1,6,2,4]
[4,2,7,6,3,8,1,5]=>[5,1,8,3,6,7,2,4]
[6,4,8,7,2,3,5,1]=>[1,5,3,2,7,8,4,6]
[3,2,6,8,7,4,5,1]=>[1,5,4,7,8,6,2,3]
[3,2,7,4,1,6,8,5]=>[5,8,6,1,4,7,2,3]
[6,3,2,1,7,8,4,5]=>[5,4,8,7,1,2,3,6]
[3,7,1,8,4,2,5,6]=>[6,5,2,4,8,1,7,3]
[4,2,1,3,7,5,8,6]=>[6,8,5,7,3,1,2,4]
[8,1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1,8]
[8,4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4,8]
[8,3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3,8]
[3,6,2,8,7,1,5,4]=>[4,5,1,7,8,2,6,3]
[7,3,2,8,1,6,5,4]=>[4,5,6,1,8,2,3,7]
[3,8,7,2,6,5,4,1]=>[1,4,5,6,2,7,8,3]
[4,2,7,8,6,1,5,3]=>[3,5,1,6,8,7,2,4]
[6,8,2,4,7,1,5,3]=>[3,5,1,7,4,2,8,6]
[5,2,1,8,7,3,6,4]=>[4,6,3,7,8,1,2,5]
[8,2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2,8]
[6,8,3,1,7,5,2,4]=>[4,2,5,7,1,3,8,6]
[5,8,1,6,7,2,4,3]=>[3,4,2,7,6,1,8,5]
[6,2,8,1,5,7,4,3]=>[3,4,7,5,1,8,2,6]
[5,7,8,2,6,1,4,3]=>[3,4,1,6,2,8,7,5]
[8,7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7,8]
[8,6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6,8]
[7,2,6,8,1,5,4,3]=>[3,4,5,1,8,6,2,7]
[1,2,7,8,5,6,4,3]=>[3,4,6,5,8,7,2,1]
[7,4,8,1,6,2,5,3]=>[3,5,2,6,1,8,4,7]
[3,7,1,8,2,6,5,4]=>[4,5,6,2,8,1,7,3]
[2,1,7,3,8,6,5,4]=>[4,5,6,8,3,7,1,2]
[8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8]
[8,1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1,8]
[8,6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6,8]
[7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7]
[5,8,4,3,2,1,6,7]=>[7,6,1,2,3,4,8,5]
[6,4,7,3,2,1,8,5]=>[5,8,1,2,3,7,4,6]
[5,4,7,3,2,1,6,8]=>[8,6,1,2,3,7,4,5]
[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]
[5,8,3,6,2,1,4,7]=>[7,4,1,2,6,3,8,5]
[6,3,7,8,2,1,4,5]=>[5,4,1,2,8,7,3,6]
[5,3,7,6,2,1,4,8]=>[8,4,1,2,6,7,3,5]
[3,8,7,6,2,1,4,5]=>[5,4,1,2,6,7,8,3]
[5,8,4,2,6,1,3,7]=>[7,3,1,6,2,4,8,5]
[4,8,7,2,5,1,3,6]=>[6,3,1,5,2,7,8,4]
[5,8,3,2,6,1,4,7]=>[7,4,1,6,2,3,8,5]
[4,8,3,2,5,1,7,6]=>[6,7,1,5,2,3,8,4]
[4,3,7,2,5,1,8,6]=>[6,8,1,5,2,7,3,4]
[3,8,7,2,5,1,4,6]=>[6,4,1,5,2,7,8,3]
[6,4,2,7,5,1,3,8]=>[8,3,1,5,7,2,4,6]
[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]
[5,3,2,6,7,1,4,8]=>[8,4,1,7,6,2,3,5]
[3,8,2,6,5,1,4,7]=>[7,4,1,5,6,2,8,3]
[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]
[5,2,7,6,8,1,3,4]=>[4,3,1,8,6,7,2,5]
[4,2,7,6,5,1,3,8]=>[8,3,1,5,6,7,2,4]
[2,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,2]
[6,5,4,3,1,7,8,2]=>[2,8,7,1,3,4,5,6]
[6,4,7,3,1,5,8,2]=>[2,8,5,1,3,7,4,6]
[5,4,7,3,1,8,6,2]=>[2,6,8,1,3,7,4,5]
[6,4,3,7,1,5,8,2]=>[2,8,5,1,7,3,4,6]
[5,4,3,6,1,8,7,2]=>[2,7,8,1,6,3,4,5]
[6,3,7,8,1,4,5,2]=>[2,5,4,1,8,7,3,6]
[5,3,7,6,1,4,8,2]=>[2,8,4,1,6,7,3,5]
[4,3,7,6,1,5,8,2]=>[2,8,5,1,6,7,3,4]
[3,8,7,6,1,4,5,2]=>[2,5,4,1,6,7,8,3]
[6,5,4,2,1,7,3,8]=>[8,3,7,1,2,4,5,6]
[6,4,7,2,1,5,3,8]=>[8,3,5,1,2,7,4,6]
[4,8,7,2,1,5,3,6]=>[6,3,5,1,2,7,8,4]
[5,8,3,2,1,4,7,6]=>[6,7,4,1,2,3,8,5]
[4,8,3,2,1,5,7,6]=>[6,7,5,1,2,3,8,4]
[5,3,7,2,1,4,8,6]=>[6,8,4,1,2,7,3,5]
[3,8,7,2,1,4,5,6]=>[6,5,4,1,2,7,8,3]
[6,5,2,7,1,4,3,8]=>[8,3,4,1,7,2,5,6]
[5,8,2,6,1,4,3,7]=>[7,3,4,1,6,2,8,5]
[6,4,2,7,1,5,3,8]=>[8,3,5,1,7,2,4,6]
[5,4,2,6,1,8,3,7]=>[7,3,8,1,6,2,4,5]
[4,3,2,6,1,5,8,7]=>[7,8,5,1,6,2,3,4]
[6,2,7,8,1,4,3,5]=>[5,3,4,1,8,7,2,6]
[4,2,7,6,1,5,3,8]=>[8,3,5,1,6,7,2,4]
[3,2,7,6,1,4,5,8]=>[8,5,4,1,6,7,2,3]
[6,5,4,1,8,7,3,2]=>[2,3,7,8,1,4,5,6]
[5,8,4,1,6,7,3,2]=>[2,3,7,6,1,4,8,5]
[6,4,7,1,5,8,3,2]=>[2,3,8,5,1,7,4,6]
[5,4,7,1,6,8,3,2]=>[2,3,8,6,1,7,4,5]
[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]
[5,4,3,1,6,8,7,2]=>[2,7,8,6,1,3,4,5]
[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]
[3,8,7,1,5,4,6,2]=>[2,6,4,5,1,7,8,3]
[5,8,2,1,6,4,3,7]=>[7,3,4,6,1,2,8,5]
[6,3,2,1,5,4,8,7]=>[7,8,4,5,1,2,3,6]
[5,3,2,1,6,4,8,7]=>[7,8,4,6,1,2,3,5]
[3,8,2,1,5,4,6,7]=>[7,6,4,5,1,2,8,3]
[6,2,7,1,5,4,3,8]=>[8,3,4,5,1,7,2,6]
[5,2,7,1,6,4,3,8]=>[8,3,4,6,1,7,2,5]
[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]
[3,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,3]
[2,8,7,1,5,4,3,6]=>[6,3,4,5,1,7,8,2]
[6,5,1,7,8,4,3,2]=>[2,3,4,8,7,1,5,6]
[5,8,1,6,7,4,3,2]=>[2,3,4,7,6,1,8,5]
[6,4,1,7,5,8,3,2]=>[2,3,8,5,7,1,4,6]
[5,4,1,6,7,8,3,2]=>[2,3,8,7,6,1,4,5]
[4,8,1,6,5,7,3,2]=>[2,3,7,5,6,1,8,4]
[6,3,1,7,5,4,8,2]=>[2,8,4,5,7,1,3,6]
[5,3,1,6,7,4,8,2]=>[2,8,4,7,6,1,3,5]
[4,3,1,6,5,7,8,2]=>[2,8,7,5,6,1,3,4]
[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]
[5,2,1,6,7,4,3,8]=>[8,3,4,7,6,1,2,5]
[4,2,1,6,5,7,3,8]=>[8,3,7,5,6,1,2,4]
[2,8,1,6,5,4,3,7]=>[7,3,4,5,6,1,8,2]
[6,1,7,8,5,4,3,2]=>[2,3,4,5,8,7,1,6]
[4,1,7,6,5,8,3,2]=>[2,3,8,5,6,7,1,4]
[3,1,7,6,5,4,8,2]=>[2,8,4,5,6,7,1,3]
[4,5,8,1,2,6,3,7]=>[7,3,6,2,1,8,5,4]
[1,4,5,7,2,6,3,8]=>[8,3,6,2,7,5,4,1]
[1,7,3,5,6,2,4,8]=>[8,4,2,6,5,3,7,1]
[8,1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1,8]
[3,6,8,1,7,2,4,5]=>[5,4,2,7,1,8,6,3]
[3,4,5,6,8,1,7,2]=>[2,7,1,8,6,5,4,3]
[4,5,8,2,6,7,1,3]=>[3,1,7,6,2,8,5,4]
[8,2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2,8]
[1,7,2,3,5,4,6,8]=>[8,6,4,5,3,2,7,1]
[8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]
[2,7,8,1,3,5,4,6]=>[6,4,5,3,1,8,7,2]
[2,7,8,3,5,6,1,4]=>[4,1,6,5,3,8,7,2]
[2,4,5,7,8,1,6,3]=>[3,6,1,8,7,5,4,2]
[4,5,8,1,7,6,3,2]=>[2,3,6,7,1,8,5,4]
[4,5,8,7,2,1,6,3]=>[3,6,1,2,7,8,5,4]
[8,7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7,8]
[8,7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7,8]
[3,6,8,7,2,1,5,4]=>[4,5,1,2,7,8,6,3]
[8,6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6,8]
[7,6,4,3,1,8,5,2]=>[2,5,8,1,3,4,6,7]
[2,3,6,7,8,1,5,4]=>[4,5,1,8,7,6,3,2]
[3,6,8,1,2,5,4,7]=>[7,4,5,2,1,8,6,3]
[1,3,6,7,2,5,4,8]=>[8,4,5,2,7,6,3,1]
[7,4,1,8,5,2,3,6]=>[6,3,2,5,8,1,4,7]
[7,1,4,2,8,3,6,5]=>[5,6,3,8,2,4,1,7]
[7,1,8,2,5,3,6,4]=>[4,6,3,5,2,8,1,7]
[8,1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1,8]
[1,7,2,6,5,4,3,8]=>[8,3,4,5,6,2,7,1]
[1,7,6,3,2,5,4,8]=>[8,4,5,2,3,6,7,1]
[8,6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6,8]
[8,1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1,8]
[8,2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2,8]
[3,6,8,1,7,5,4,2]=>[2,4,5,7,1,8,6,3]
[8,2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2,8]
[2,7,8,6,3,1,5,4]=>[4,5,1,3,6,8,7,2]
[2,7,8,1,6,5,4,3]=>[3,4,5,6,1,8,7,2]
[7,3,1,8,6,5,4,2]=>[2,4,5,6,8,1,3,7]
[8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8]
[8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8]
[2,1,8,6,3,7,4,5]=>[5,4,7,3,6,8,1,2]
[8,6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6,8]
[8,5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5,8]
[2,1,7,5,4,3,8,6]=>[6,8,3,4,5,7,1,2]
[2,1,8,4,5,3,6,7]=>[7,6,3,5,4,8,1,2]
[2,1,7,8,3,6,5,4]=>[4,5,6,3,8,7,1,2]
[2,1,8,5,7,6,3,4]=>[4,3,6,7,5,8,1,2]
[2,1,4,8,5,7,3,6]=>[6,3,7,5,8,4,1,2]
[2,1,5,4,6,8,3,7]=>[7,3,8,6,4,5,1,2]
[8,5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5,8]
[7,5,1,4,6,8,3,2]=>[2,3,8,6,4,1,5,7]
[6,4,1,5,2,3,8,7]=>[7,8,3,2,5,1,4,6]
[8,3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3,8]
[5,3,7,4,6,8,1,2]=>[2,1,8,6,4,7,3,5]
[5,8,3,7,6,2,1,4]=>[4,1,2,6,7,3,8,5]
[5,2,4,8,6,3,1,7]=>[7,1,3,6,8,4,2,5]
[4,2,6,3,8,5,1,7]=>[7,1,5,8,3,6,2,4]
[3,8,2,4,7,5,1,6]=>[6,1,5,7,4,2,8,3]
[3,6,8,7,5,4,1,2]=>[2,1,4,5,7,8,6,3]
[8,5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5,8]
[5,8,2,1,7,6,4,3]=>[3,4,6,7,1,2,8,5]
[6,3,8,1,5,7,4,2]=>[2,4,7,5,1,8,3,6]
[8,3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3,8]
[7,2,4,3,1,5,8,6]=>[6,8,5,1,3,4,2,7]
[7,8,3,1,5,4,6,2]=>[2,6,4,5,1,3,8,7]
[7,2,8,1,4,6,5,3]=>[3,5,6,4,1,8,2,7]
[6,2,3,1,4,5,8,7]=>[7,8,5,4,1,3,2,6]
[5,6,1,4,3,2,8,7]=>[7,8,2,3,4,1,6,5]
[5,7,1,8,3,6,2,4]=>[4,2,6,3,8,1,7,5]
[6,8,1,4,5,3,2,7]=>[7,2,3,5,4,1,8,6]
[6,7,1,5,4,3,8,2]=>[2,8,3,4,5,1,7,6]
[8,7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7,8]
[6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]
[8,2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2,8]
[5,8,1,6,3,7,4,2]=>[2,4,7,3,6,1,8,5]
[8,3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3,8]
[7,5,4,8,2,1,3,6]=>[6,3,1,2,8,4,5,7]
[7,3,6,5,4,1,8,2]=>[2,8,1,4,5,6,3,7]
[8,3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3,8]
[7,3,5,8,1,6,2,4]=>[4,2,6,1,8,5,3,7]
[6,3,5,4,1,2,8,7]=>[7,8,2,1,4,5,3,6]
[2,6,3,5,1,4,8,7]=>[7,8,4,1,5,3,6,2]
[2,7,8,5,1,6,4,3]=>[3,4,6,1,5,8,7,2]
[8,7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7,8]
[2,8,3,4,6,1,5,7]=>[7,5,1,6,4,3,8,2]
[2,7,4,3,6,1,8,5]=>[5,8,1,6,3,4,7,2]
[3,4,7,2,8,1,5,6]=>[6,5,1,8,2,7,4,3]
[4,3,2,5,7,1,8,6]=>[6,8,1,7,5,2,3,4]
[4,2,3,5,8,1,6,7]=>[7,6,1,8,5,3,2,4]
[3,2,8,4,7,1,6,5]=>[5,6,1,7,4,8,2,3]
[8,2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2,8]
[3,8,4,7,1,6,5,2]=>[2,5,6,1,7,4,8,3]
[3,2,4,6,1,5,8,7]=>[7,8,5,1,6,4,2,3]
[8,3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3,8]
[2,8,4,6,5,7,1,3]=>[3,1,7,5,6,4,8,2]
[2,3,8,4,6,7,1,5]=>[5,1,7,6,4,8,3,2]
[2,4,3,5,8,7,1,6]=>[6,1,7,8,5,3,4,2]
[3,2,4,5,6,8,1,7]=>[7,1,8,6,5,4,2,3]
[5,6,8,1,4,2,7,3]=>[3,7,2,4,1,8,6,5]
[1,5,7,8,4,6,2,3]=>[3,2,6,4,8,7,5,1]
[1,3,5,7,8,6,2,4]=>[4,2,6,8,7,5,3,1]
[3,5,7,8,6,1,2,4]=>[4,2,1,6,8,7,5,3]
[3,5,1,6,8,2,7,4]=>[4,7,2,8,6,1,5,3]
[3,1,5,6,8,2,7,4]=>[4,7,2,8,6,5,1,3]
[2,3,5,6,8,1,7,4]=>[4,7,1,8,6,5,3,2]
[5,6,4,8,2,1,7,3]=>[3,7,1,2,8,4,6,5]
[5,1,6,3,8,4,7,2]=>[2,7,4,8,3,6,1,5]
[2,5,1,6,8,3,7,4]=>[4,7,3,8,6,1,5,2]
[5,1,2,6,8,3,7,4]=>[4,7,3,8,6,2,1,5]
[5,7,1,8,6,2,3,4]=>[4,3,2,6,8,1,7,5]
[1,5,2,7,8,6,3,4]=>[4,3,6,8,7,2,5,1]
[1,6,7,5,2,8,3,4]=>[4,3,8,2,5,7,6,1]
[6,1,7,5,2,8,3,4]=>[4,3,8,2,5,7,1,6]
[2,6,7,5,1,8,3,4]=>[4,3,8,1,5,7,6,2]
[5,7,2,8,6,1,3,4]=>[4,3,1,6,8,2,7,5]
[3,5,7,8,6,2,1,4]=>[4,1,2,6,8,7,5,3]
[5,1,7,8,6,3,4,2]=>[2,4,3,6,8,7,1,5]
[5,1,3,7,8,6,4,2]=>[2,4,6,8,7,3,1,5]
[5,2,7,8,4,6,1,3]=>[3,1,6,4,8,7,2,5]
[3,2,5,7,8,6,1,4]=>[4,1,6,8,7,5,2,3]
[6,2,7,5,1,8,3,4]=>[4,3,8,1,5,7,2,6]
[1,2,6,7,5,8,3,4]=>[4,3,8,5,7,6,2,1]
[6,2,7,5,4,1,8,3]=>[3,8,1,4,5,7,2,6]
[6,7,5,2,4,1,8,3]=>[3,8,1,4,2,5,7,6]
[6,7,2,5,3,8,1,4]=>[4,1,8,3,5,2,7,6]
[6,7,4,5,2,1,8,3]=>[3,8,1,2,5,4,7,6]
[5,1,7,8,6,4,3,2]=>[2,3,4,6,8,7,1,5]
[2,5,7,8,6,3,1,4]=>[4,1,3,6,8,7,5,2]
[5,1,7,8,6,3,2,4]=>[4,2,3,6,8,7,1,5]
[6,3,7,5,1,8,2,4]=>[4,2,8,1,5,7,3,6]
[1,6,7,5,3,8,2,4]=>[4,2,8,3,5,7,6,1]
[1,6,7,5,4,2,8,3]=>[3,8,2,4,5,7,6,1]
[6,7,5,1,4,2,8,3]=>[3,8,2,4,1,5,7,6]
[5,7,8,6,4,1,2,3]=>[3,2,1,4,6,8,7,5]
[4,1,7,2,6,5,8,3]=>[3,8,5,6,2,7,1,4]
[2,4,7,1,5,6,8,3]=>[3,8,6,5,1,7,4,2]
[6,7,4,1,5,2,8,3]=>[3,8,2,5,1,4,7,6]
[1,6,7,4,5,2,8,3]=>[3,8,2,5,4,7,6,1]
[1,6,3,7,5,8,2,4]=>[4,2,8,5,7,3,6,1]
[6,3,1,7,5,8,2,4]=>[4,2,8,5,7,1,3,6]
[2,5,3,7,8,6,1,4]=>[4,1,6,8,7,3,5,2]
[6,7,5,4,2,1,8,3]=>[3,8,1,2,4,5,7,6]
[6,3,2,7,5,8,1,4]=>[4,1,8,5,7,2,3,6]
[6,7,4,2,5,1,8,3]=>[3,8,1,5,2,4,7,6]
[6,2,7,4,5,1,8,3]=>[3,8,1,5,4,7,2,6]
[6,2,3,7,5,8,1,4]=>[4,1,8,5,7,3,2,6]
[4,5,1,6,3,2,8,7]=>[7,8,2,3,6,1,5,4]
[7,5,1,6,3,8,2,4]=>[4,2,8,3,6,1,5,7]
[7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]
[2,7,6,1,3,8,4,5]=>[5,4,8,3,1,6,7,2]
[2,7,6,1,3,8,5,4]=>[4,5,8,3,1,6,7,2]
[7,3,5,1,8,2,6,4]=>[4,6,2,8,1,5,3,7]
[7,3,5,1,8,2,4,6]=>[6,4,2,8,1,5,3,7]
[3,7,5,1,8,6,2,4]=>[4,2,6,8,1,5,7,3]
[2,6,7,1,5,8,3,4]=>[4,3,8,5,1,7,6,2]
[2,6,7,4,1,8,3,5]=>[5,3,8,1,4,7,6,2]
[2,1,6,7,3,8,5,4]=>[4,5,8,3,7,6,1,2]
[2,6,7,4,1,8,5,3]=>[3,5,8,1,4,7,6,2]
[2,6,7,1,5,8,4,3]=>[3,4,8,5,1,7,6,2]
[3,6,5,1,8,4,7,2]=>[2,7,4,8,1,5,6,3]
[3,6,5,1,8,4,2,7]=>[7,2,4,8,1,5,6,3]
[3,7,5,4,8,1,6,2]=>[2,6,1,8,4,5,7,3]
[3,7,5,4,8,1,2,6]=>[6,2,1,8,4,5,7,3]
[4,6,1,5,8,7,3,2]=>[2,3,7,8,5,1,6,4]
[4,6,1,5,8,7,2,3]=>[3,2,7,8,5,1,6,4]
[4,6,1,5,8,2,7,3]=>[3,7,2,8,5,1,6,4]
[7,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,7]
[7,5,1,6,2,8,4,3]=>[3,4,8,2,6,1,5,7]
[4,6,1,5,8,2,3,7]=>[7,3,2,8,5,1,6,4]
[4,7,1,5,8,3,6,2]=>[2,6,3,8,5,1,7,4]
[2,3,4,7,8,1,6,5]=>[5,6,1,8,7,4,3,2]
[6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]
[6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]
[5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]
[6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]
[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]
[8,3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3,8]
[3,5,6,2,1,8,4,7]=>[7,4,8,1,2,6,5,3]
[3,5,2,6,8,4,1,7]=>[7,1,4,8,6,2,5,3]
[7,5,3,2,8,4,1,6]=>[6,1,4,8,2,3,5,7]
[7,5,3,2,8,4,6,1]=>[1,6,4,8,2,3,5,7]
[2,4,5,7,3,8,6,1]=>[1,6,8,3,7,5,4,2]
[4,2,5,6,8,3,1,7]=>[7,1,3,8,6,5,2,4]
[4,2,8,1,5,6,3,7]=>[7,3,6,5,1,8,2,4]
[2,5,6,1,8,4,3,7]=>[7,3,4,8,1,6,5,2]
[5,3,6,8,1,4,2,7]=>[7,2,4,1,8,6,3,5]
[4,5,6,8,1,3,2,7]=>[7,2,3,1,8,6,5,4]
[1,4,5,6,8,3,2,7]=>[7,2,3,8,6,5,4,1]
[4,5,6,3,8,2,1,7]=>[7,1,2,8,3,6,5,4]
[4,5,3,7,2,8,6,1]=>[1,6,8,2,7,3,5,4]
[6,4,7,3,2,8,5,1]=>[1,5,8,2,3,7,4,6]
[6,1,4,7,3,2,8,5]=>[5,8,2,3,7,4,1,6]
[1,7,8,4,5,3,2,6]=>[6,2,3,5,4,8,7,1]
[5,1,7,3,8,4,2,6]=>[6,2,4,8,3,7,1,5]
[2,5,1,7,4,3,8,6]=>[6,8,3,4,7,1,5,2]
[2,5,7,4,1,8,6,3]=>[3,6,8,1,4,7,5,2]
[5,3,7,1,4,8,6,2]=>[2,6,8,4,1,7,3,5]
[6,4,3,1,7,8,5,2]=>[2,5,8,7,1,3,4,6]
[6,4,1,7,3,8,5,2]=>[2,5,8,3,7,1,4,6]
[5,6,3,7,8,4,2,1]=>[1,2,4,8,7,3,6,5]
[5,1,6,3,7,8,4,2]=>[2,4,8,7,3,6,1,5]
[5,6,1,3,7,8,4,2]=>[2,4,8,7,3,1,6,5]
[5,6,1,7,8,3,4,2]=>[2,4,3,8,7,1,6,5]
[1,6,3,7,4,8,5,2]=>[2,5,8,4,7,3,6,1]
[6,7,2,4,1,8,5,3]=>[3,5,8,1,4,2,7,6]
[6,7,2,1,4,3,8,5]=>[5,8,3,4,1,2,7,6]
[6,4,7,3,1,2,8,5]=>[5,8,2,1,3,7,4,6]
[5,6,3,1,2,7,8,4]=>[4,8,7,2,1,3,6,5]
[5,6,1,3,2,7,8,4]=>[4,8,7,2,3,1,6,5]
[5,6,3,2,1,7,8,4]=>[4,8,7,1,2,3,6,5]
[2,5,6,3,7,8,4,1]=>[1,4,8,7,3,6,5,2]
[2,5,6,3,1,7,8,4]=>[4,8,7,1,3,6,5,2]
[2,6,4,7,3,1,8,5]=>[5,8,1,3,7,4,6,2]
[6,3,7,2,8,4,5,1]=>[1,5,4,8,2,7,3,6]
[6,3,7,2,8,4,1,5]=>[5,1,4,8,2,7,3,6]
[6,3,2,7,1,8,4,5]=>[5,4,8,1,7,2,3,6]
[7,5,3,2,1,8,4,6]=>[6,4,8,1,2,3,5,7]
[7,3,8,4,2,1,5,6]=>[6,5,1,2,4,8,3,7]
[4,7,2,1,3,8,6,5]=>[5,6,8,3,1,2,7,4]
[1,3,7,8,6,4,2,5]=>[5,2,4,6,8,7,3,1]
[7,3,8,4,6,2,1,5]=>[5,1,2,6,4,8,3,7]
[5,7,3,8,2,1,6,4]=>[4,6,1,2,8,3,7,5]
[6,3,7,8,5,2,1,4]=>[4,1,2,5,8,7,3,6]
[4,6,2,7,8,5,3,1]=>[1,3,5,8,7,2,6,4]
[4,6,2,1,7,8,5,3]=>[3,5,8,7,1,2,6,4]
[7,4,5,8,1,2,6,3]=>[3,6,2,1,8,5,4,7]
[2,5,1,7,3,8,6,4]=>[4,6,8,3,7,1,5,2]
[6,7,2,1,3,8,5,4]=>[4,5,8,3,1,2,7,6]
[5,1,6,7,8,2,4,3]=>[3,4,2,8,7,6,1,5]
[6,3,7,1,8,5,2,4]=>[4,2,5,8,1,7,3,6]
[6,2,1,7,3,8,5,4]=>[4,5,8,3,7,1,2,6]
[6,2,7,1,8,5,4,3]=>[3,4,5,8,1,7,2,6]
[6,3,1,7,8,5,4,2]=>[2,4,5,8,7,1,3,6]
[4,1,3,6,8,2,5,7]=>[7,5,2,8,6,3,1,4]
[4,2,3,6,8,1,5,7]=>[7,5,1,8,6,3,2,4]
[5,3,2,1,8,4,7,6]=>[6,7,4,8,1,2,3,5]
[3,6,5,8,2,1,7,4]=>[4,7,1,2,8,5,6,3]
[4,5,2,1,3,8,7,6]=>[6,7,8,3,1,2,5,4]
[3,2,6,4,5,8,1,7]=>[7,1,8,5,4,6,2,3]
[2,4,6,5,8,1,3,7]=>[7,3,1,8,5,6,4,2]
[1,6,2,4,5,8,3,7]=>[7,3,8,5,4,2,6,1]
[5,3,2,1,6,8,4,7]=>[7,4,8,6,1,2,3,5]
[6,2,4,5,8,1,3,7]=>[7,3,1,8,5,4,2,6]
[1,3,4,6,5,8,2,7]=>[7,2,8,5,6,4,3,1]
[1,6,3,4,5,8,2,7]=>[7,2,8,5,4,3,6,1]
[3,4,1,8,5,2,7,6]=>[6,7,2,5,8,1,4,3]
[2,8,4,1,7,6,3,5]=>[5,3,6,7,1,4,8,2]
[8,1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1,8]
[1,5,3,2,8,7,4,6]=>[6,4,7,8,2,3,5,1]
[8,2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2,8]
[1,7,6,4,5,8,3,2]=>[2,3,8,5,4,6,7,1]
[5,8,7,4,1,2,6,3]=>[3,6,2,1,4,7,8,5]
[5,8,7,4,6,2,1,3]=>[3,1,2,6,4,7,8,5]
[3,4,2,5,8,6,7,1]=>[1,7,6,8,5,2,4,3]
[4,1,3,5,6,8,7,2]=>[2,7,8,6,5,3,1,4]
[2,4,8,6,7,1,3,5]=>[5,3,1,7,6,8,4,2]
[4,3,6,2,8,1,7,5]=>[5,7,1,8,2,6,3,4]
[3,7,4,8,2,1,6,5]=>[5,6,1,2,8,4,7,3]
[2,3,5,8,6,7,1,4]=>[4,1,7,6,8,5,3,2]
[3,2,5,6,8,7,1,4]=>[4,1,7,8,6,5,2,3]
[2,1,8,5,6,7,3,4]=>[4,3,7,6,5,8,1,2]
[1,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,1]
[4,2,3,7,1,8,6,5]=>[5,6,8,1,7,3,2,4]
[3,2,6,4,8,1,7,5]=>[5,7,1,8,4,6,2,3]
[8,2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2,8]
[2,7,8,5,4,1,3,6]=>[6,3,1,4,5,8,7,2]
[1,7,5,3,8,4,2,6]=>[6,2,4,8,3,5,7,1]
[4,7,5,3,1,2,8,6]=>[6,8,2,1,3,5,7,4]
[7,2,4,8,5,3,1,6]=>[6,1,3,5,8,4,2,7]
[4,8,3,1,2,7,6,5]=>[5,6,7,2,1,3,8,4]
[3,5,2,7,4,1,8,6]=>[6,8,1,4,7,2,5,3]
[8,4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4,8]
[2,8,4,7,1,3,5,6]=>[6,5,3,1,7,4,8,2]
[8,2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2,8]
[4,8,2,3,6,7,1,5]=>[5,1,7,6,3,2,8,4]
[3,5,2,7,6,1,8,4]=>[4,8,1,6,7,2,5,3]
[1,6,3,2,5,8,7,4]=>[4,7,8,5,2,3,6,1]
[5,8,3,2,1,6,7,4]=>[4,7,6,1,2,3,8,5]
[5,8,7,3,4,6,2,1]=>[1,2,6,4,3,7,8,5]
[5,8,2,7,4,1,6,3]=>[3,6,1,4,7,2,8,5]
[5,1,4,2,8,7,6,3]=>[3,6,7,8,2,4,1,5]
[4,7,6,5,8,2,1,3]=>[3,1,2,8,5,6,7,4]
[5,3,7,1,6,2,8,4]=>[4,8,2,6,1,7,3,5]
[5,2,6,8,7,1,3,4]=>[4,3,1,7,8,6,2,5]
[6,3,2,1,8,5,7,4]=>[4,7,5,8,1,2,3,6]
[2,7,5,4,1,8,6,3]=>[3,6,8,1,4,5,7,2]
[4,2,5,6,8,7,1,3]=>[3,1,7,8,6,5,2,4]
[1,8,4,2,5,6,7,3]=>[3,7,6,5,2,4,8,1]
[3,8,4,1,5,6,7,2]=>[2,7,6,5,1,4,8,3]
[4,2,8,5,6,7,1,3]=>[3,1,7,6,5,8,2,4]
[5,2,4,7,1,8,6,3]=>[3,6,8,1,7,4,2,5]
[5,3,4,7,1,8,6,2]=>[2,6,8,1,7,4,3,5]
[8,6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6,8]
[8,1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1,8]
[8,1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1,8]
[3,6,5,2,1,8,7,4]=>[4,7,8,1,2,5,6,3]
[8,3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3,8]
[8,4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4,8]
[8,4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4,8]
[8,6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6,8]
[8,3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3,8]
[8,2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2,8]
[1,3,4,8,5,7,2,6]=>[6,2,7,5,8,4,3,1]
[5,8,4,7,6,2,3,1]=>[1,3,2,6,7,4,8,5]
[1,3,4,7,5,8,2,6]=>[6,2,8,5,7,4,3,1]
[1,3,5,2,4,8,7,6]=>[6,7,8,4,2,5,3,1]
[2,6,5,1,3,8,7,4]=>[4,7,8,3,1,5,6,2]
[4,7,1,6,5,8,3,2]=>[2,3,8,5,6,1,7,4]
[5,4,8,7,6,3,1,2]=>[2,1,3,6,7,8,4,5]
[2,8,5,1,4,7,6,3]=>[3,6,7,4,1,5,8,2]
[4,3,1,5,8,6,7,2]=>[2,7,6,8,5,1,3,4]
[4,1,3,5,8,6,7,2]=>[2,7,6,8,5,3,1,4]
[6,5,3,8,4,7,1,2]=>[2,1,7,4,8,3,5,6]
[5,4,2,1,6,8,7,3]=>[3,7,8,6,1,2,4,5]
[6,8,4,3,2,7,1,5]=>[5,1,7,2,3,4,8,6]
[3,4,7,8,2,1,6,5]=>[5,6,1,2,8,7,4,3]
[5,1,3,2,8,6,7,4]=>[4,7,6,8,2,3,1,5]
[5,3,1,2,8,6,7,4]=>[4,7,6,8,2,1,3,5]
[5,2,3,1,6,8,7,4]=>[4,7,8,6,1,3,2,5]
[5,3,2,1,8,6,7,4]=>[4,7,6,8,1,2,3,5]
[5,2,1,3,6,8,7,4]=>[4,7,8,6,3,1,2,5]
[2,4,7,3,8,1,6,5]=>[5,6,1,8,3,7,4,2]
[6,3,8,2,7,4,1,5]=>[5,1,4,7,2,8,3,6]
[8,2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2,8]
[3,5,1,7,8,4,2,6]=>[6,2,4,8,7,1,5,3]
[2,7,4,5,8,3,1,6]=>[6,1,3,8,5,4,7,2]
[1,8,4,3,7,2,6,5]=>[5,6,2,7,3,4,8,1]
[3,4,8,7,2,1,6,5]=>[5,6,1,2,7,8,4,3]
[5,4,7,8,3,6,2,1]=>[1,2,6,3,8,7,4,5]
[6,4,3,8,7,2,1,5]=>[5,1,2,7,8,3,4,6]
[6,3,8,7,4,1,2,5]=>[5,2,1,4,7,8,3,6]
[3,5,7,2,4,8,1,6]=>[6,1,8,4,2,7,5,3]
[8,4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4,8]
[8,4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4,8]
[8,4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4,8]
[8,6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6,8]
[8,6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6,8]
[8,6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6,8]
[3,5,7,2,6,1,8,4]=>[4,8,1,6,2,7,5,3]
[6,1,3,8,5,7,2,4]=>[4,2,7,5,8,3,1,6]
[5,8,3,2,6,7,1,4]=>[4,1,7,6,2,3,8,5]
[4,8,5,3,6,2,7,1]=>[1,7,2,6,3,5,8,4]
[2,8,1,5,4,7,6,3]=>[3,6,7,4,5,1,8,2]
[1,5,8,7,4,6,2,3]=>[3,2,6,4,7,8,5,1]
[2,1,7,6,4,5,8,3]=>[3,8,5,4,6,7,1,2]
[1,7,2,4,6,5,8,3]=>[3,8,5,6,4,2,7,1]
[3,5,1,7,6,8,2,4]=>[4,2,8,6,7,1,5,3]
[5,8,2,6,1,3,7,4]=>[4,7,3,1,6,2,8,5]
[6,3,5,8,7,2,1,4]=>[4,1,2,7,8,5,3,6]
[2,5,7,8,4,1,6,3]=>[3,6,1,4,8,7,5,2]
[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]
[4,1,5,2,6,8,7,3]=>[3,7,8,6,2,5,1,4]
[3,4,5,1,6,8,7,2]=>[2,7,8,6,1,5,4,3]
[4,2,8,5,1,6,7,3]=>[3,7,6,1,5,8,2,4]
[4,1,8,5,2,6,7,3]=>[3,7,6,2,5,8,1,4]
[2,7,1,8,5,4,6,3]=>[3,6,4,5,8,1,7,2]
[5,8,6,2,1,3,7,4]=>[4,7,3,1,2,6,8,5]
[8,2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2,8]
[4,6,3,5,8,1,7,2]=>[2,7,1,8,5,3,6,4]
[1,7,8,3,5,4,6,2]=>[2,6,4,5,3,8,7,1]
[3,4,5,1,8,6,7,2]=>[2,7,6,8,1,5,4,3]
[3,8,1,4,5,6,7,2]=>[2,7,6,5,4,1,8,3]
[3,4,5,6,8,2,1,7]=>[7,1,2,8,6,5,4,3]
[3,4,5,7,1,8,6,2]=>[2,6,8,1,7,5,4,3]
[3,4,5,7,8,2,6,1]=>[1,6,2,8,7,5,4,3]
[3,4,6,2,8,5,1,7]=>[7,1,5,8,2,6,4,3]
[3,4,6,8,1,5,2,7]=>[7,2,5,1,8,6,4,3]
[3,4,7,2,1,8,6,5]=>[5,6,8,1,2,7,4,3]
[3,4,7,8,1,5,6,2]=>[2,6,5,1,8,7,4,3]
[3,4,8,2,1,5,6,7]=>[7,6,5,1,2,8,4,3]
[3,5,2,6,7,8,1,4]=>[4,1,8,7,6,2,5,3]
[3,5,2,7,8,4,6,1]=>[1,6,4,8,7,2,5,3]
[3,5,2,8,4,1,6,7]=>[7,6,1,4,8,2,5,3]
[3,5,6,2,8,4,1,7]=>[7,1,4,8,2,6,5,3]
[3,5,6,8,4,1,2,7]=>[7,2,1,4,8,6,5,3]
[3,5,7,2,4,8,6,1]=>[1,6,8,4,2,7,5,3]
[3,5,7,2,8,4,6,1]=>[1,6,4,8,2,7,5,3]
[3,5,7,8,4,1,6,2]=>[2,6,1,4,8,7,5,3]
[3,6,2,1,7,8,5,4]=>[4,5,8,7,1,2,6,3]
[3,6,2,1,8,5,4,7]=>[7,4,5,8,1,2,6,3]
[3,6,7,2,4,8,5,1]=>[1,5,8,4,2,7,6,3]
[3,6,7,2,8,5,4,1]=>[1,4,5,8,2,7,6,3]
[3,6,7,8,4,5,1,2]=>[2,1,5,4,8,7,6,3]
[3,6,8,2,4,5,1,7]=>[7,1,5,4,2,8,6,3]
[3,7,2,1,4,8,6,5]=>[5,6,8,4,1,2,7,3]
[3,7,2,1,8,5,6,4]=>[4,6,5,8,1,2,7,3]
[3,7,2,8,4,5,6,1]=>[1,6,5,4,8,2,7,3]
[3,7,8,2,4,5,6,1]=>[1,6,5,4,2,8,7,3]
[3,8,2,1,4,5,6,7]=>[7,6,5,4,1,2,8,3]
[4,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,4]
[4,1,5,7,3,8,6,2]=>[2,6,8,3,7,5,1,4]
[4,1,6,3,7,8,5,2]=>[2,5,8,7,3,6,1,4]
[4,1,6,3,8,5,2,7]=>[7,2,5,8,3,6,1,4]
[4,1,6,7,3,8,5,2]=>[2,5,8,3,7,6,1,4]
[4,1,6,7,8,5,2,3]=>[3,2,5,8,7,6,1,4]
[4,1,6,8,3,5,2,7]=>[7,2,5,3,8,6,1,4]
[4,1,7,3,2,8,6,5]=>[5,6,8,2,3,7,1,4]
[4,1,7,8,3,5,6,2]=>[2,6,5,3,8,7,1,4]
[4,1,8,3,2,5,6,7]=>[7,6,5,2,3,8,1,4]
[4,5,2,6,7,8,3,1]=>[1,3,8,7,6,2,5,4]
[4,5,2,6,8,1,3,7]=>[7,3,1,8,6,2,5,4]
[4,5,6,3,8,1,2,7]=>[7,2,1,8,3,6,5,4]
[4,5,6,8,3,1,2,7]=>[7,2,1,3,8,6,5,4]
[4,5,7,3,8,1,6,2]=>[2,6,1,8,3,7,5,4]
[4,5,8,3,2,1,6,7]=>[7,6,1,2,3,8,5,4]
[4,6,2,3,7,8,5,1]=>[1,5,8,7,3,2,6,4]
[4,6,2,3,8,5,1,7]=>[7,1,5,8,3,2,6,4]
[4,6,2,7,3,8,5,1]=>[1,5,8,3,7,2,6,4]
[4,6,2,7,8,5,1,3]=>[3,1,5,8,7,2,6,4]
[4,6,7,3,2,8,5,1]=>[1,5,8,2,3,7,6,4]
[4,6,8,3,2,5,1,7]=>[7,1,5,2,3,8,6,4]
[4,7,2,3,1,8,6,5]=>[5,6,8,1,3,2,7,4]
[4,7,2,8,3,5,6,1]=>[1,6,5,3,8,2,7,4]
[4,7,8,3,2,5,6,1]=>[1,6,5,2,3,8,7,4]
[4,8,2,3,1,5,6,7]=>[7,6,5,1,3,2,8,4]
[5,1,2,6,8,4,3,7]=>[7,3,4,8,6,2,1,5]
[5,1,2,7,4,8,6,3]=>[3,6,8,4,7,2,1,5]
[5,1,2,8,4,3,6,7]=>[7,6,3,4,8,2,1,5]
[5,1,6,3,8,4,2,7]=>[7,2,4,8,3,6,1,5]
[5,1,6,7,4,8,2,3]=>[3,2,8,4,7,6,1,5]
[5,1,6,7,8,4,2,3]=>[3,2,4,8,7,6,1,5]
[5,1,8,3,4,2,6,7]=>[7,6,2,4,3,8,1,5]
[5,6,2,3,8,4,1,7]=>[7,1,4,8,3,2,6,5]
[5,6,2,7,8,4,1,3]=>[3,1,4,8,7,2,6,5]
[5,6,8,3,4,2,1,7]=>[7,1,2,4,3,8,6,5]
[5,7,2,3,4,8,6,1]=>[1,6,8,4,3,2,7,5]
[5,7,8,3,4,2,6,1]=>[1,6,2,4,3,8,7,5]
[5,8,2,3,4,1,6,7]=>[7,6,1,4,3,2,8,5]
[6,1,2,3,7,8,5,4]=>[4,5,8,7,3,2,1,6]
[6,1,2,3,8,5,4,7]=>[7,4,5,8,3,2,1,6]
[6,1,2,7,8,5,4,3]=>[3,4,5,8,7,2,1,6]
[6,1,2,8,4,5,3,7]=>[7,3,5,4,8,2,1,6]
[6,1,7,3,4,8,5,2]=>[2,5,8,4,3,7,1,6]
[6,1,7,3,8,5,4,2]=>[2,4,5,8,3,7,1,6]
[6,1,7,8,4,5,3,2]=>[2,3,5,4,8,7,1,6]
[6,1,8,3,4,5,2,7]=>[7,2,5,4,3,8,1,6]
[6,7,2,3,8,5,4,1]=>[1,4,5,8,3,2,7,6]
[6,7,2,8,4,5,3,1]=>[1,3,5,4,8,2,7,6]
[6,8,2,3,4,5,1,7]=>[7,1,5,4,3,2,8,6]
[7,1,2,3,4,8,6,5]=>[5,6,8,4,3,2,1,7]
[7,1,2,8,4,5,6,3]=>[3,6,5,4,8,2,1,7]
[7,1,8,3,4,5,6,2]=>[2,6,5,4,3,8,1,7]
[6,4,1,8,2,3,7,5]=>[5,7,3,2,8,1,4,6]
[5,8,1,2,4,3,7,6]=>[6,7,3,4,2,1,8,5]
[1,3,5,7,2,6,4,8]=>[8,4,6,2,7,5,3,1]
[3,5,8,6,1,2,4,7]=>[7,4,2,1,6,8,5,3]
[3,1,6,8,2,4,7,5]=>[5,7,4,2,8,6,1,3]
[3,6,2,8,1,5,7,4]=>[4,7,5,1,8,2,6,3]
[2,6,1,3,8,4,7,5]=>[5,7,4,8,3,1,6,2]
[1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]
[2,7,5,1,3,8,4,6]=>[6,4,8,3,1,5,7,2]
[8,2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2,8]
[8,2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2,8]
[8,2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2,8]
[8,2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2,8]
[8,2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2,8]
[7,6,5,2,4,8,1,3]=>[3,1,8,4,2,5,6,7]
[7,8,2,5,3,1,6,4]=>[4,6,1,3,5,2,8,7]
[7,1,8,6,3,2,4,5]=>[5,4,2,3,6,8,1,7]
[6,8,1,5,3,2,4,7]=>[7,4,2,3,5,1,8,6]
[1,6,7,5,3,2,4,8]=>[8,4,2,3,5,7,6,1]
[6,5,1,2,4,8,3,7]=>[7,3,8,4,2,1,5,6]
[7,8,1,6,4,2,3,5]=>[5,3,2,4,6,1,8,7]
[8,4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4,8]
[1,7,3,6,5,2,4,8]=>[8,4,2,5,6,3,7,1]
[8,1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1,8]
[7,3,2,6,5,1,8,4]=>[4,8,1,5,6,2,3,7]
[7,8,4,2,5,6,1,3]=>[3,1,6,5,2,4,8,7]
[8,2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2,8]
[8,2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2,8]
[4,8,6,5,7,3,2,1]=>[1,2,3,7,5,6,8,4]
[3,8,7,5,4,6,2,1]=>[1,2,6,4,5,7,8,3]
[4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]
[2,8,7,6,4,3,5,1]=>[1,5,3,4,6,7,8,2]
[3,8,7,4,5,6,2,1]=>[1,2,6,5,4,7,8,3]
[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]
[2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]
[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]
[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]
[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]
[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]
[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]
[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]
[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]
[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]
[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]
[3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]
[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]
[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]
[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]
[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]
[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]
[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]
[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]
[4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]
[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]
[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]
[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]
[1,6,3,2,5,8,4,7]=>[7,4,8,5,2,3,6,1]
[8,3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3,8]
[6,3,7,1,5,8,4,2]=>[2,4,8,5,1,7,3,6]
[2,5,1,8,4,3,7,6]=>[6,7,3,4,8,1,5,2]
[6,2,5,4,8,1,3,7]=>[7,3,1,8,4,5,2,6]
[4,3,1,6,5,8,2,7]=>[7,2,8,5,6,1,3,4]
[1,3,5,4,6,8,2,7]=>[7,2,8,6,4,5,3,1]
[6,1,3,4,5,8,2,7]=>[7,2,8,5,4,3,1,6]
[8,3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3,8]
[7,5,4,2,6,8,3,1]=>[1,3,8,6,2,4,5,7]
[8,2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2,8]
[7,3,8,4,5,2,1,6]=>[6,1,2,5,4,8,3,7]
[7,2,5,1,8,4,3,6]=>[6,3,4,8,1,5,2,7]
[1,7,3,2,5,4,8,6]=>[6,8,4,5,2,3,7,1]
[8,7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7,8]
[3,6,1,5,8,7,4,2]=>[2,4,7,8,5,1,6,3]
[8,3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3,8]
[5,4,6,8,1,2,7,3]=>[3,7,2,1,8,6,4,5]
[6,4,7,2,3,5,8,1]=>[1,8,5,3,2,7,4,6]
[6,8,4,1,3,5,7,2]=>[2,7,5,3,1,4,8,6]
[3,4,7,8,6,2,5,1]=>[1,5,2,6,8,7,4,3]
[4,1,3,5,7,8,6,2]=>[2,6,8,7,5,3,1,4]
[6,5,1,8,4,7,3,2]=>[2,3,7,4,8,1,5,6]
[5,3,1,8,4,7,6,2]=>[2,6,7,4,8,1,3,5]
[8,2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2,8]
[4,7,3,2,8,1,6,5]=>[5,6,1,8,2,3,7,4]
[6,3,1,4,7,2,8,5]=>[5,8,2,7,4,1,3,6]
[8,7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7,8]
[7,4,3,6,8,2,5,1]=>[1,5,2,8,6,3,4,7]
[2,4,7,3,8,5,6,1]=>[1,6,5,8,3,7,4,2]
[2,8,6,1,5,7,3,4]=>[4,3,7,5,1,6,8,2]
[7,8,2,5,4,3,1,6]=>[6,1,3,4,5,2,8,7]
[1,8,3,4,2,7,6,5]=>[5,6,7,2,4,3,8,1]
[8,5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5,8]
[5,7,3,2,4,1,8,6]=>[6,8,1,4,2,3,7,5]
[2,8,3,4,7,1,5,6]=>[6,5,1,7,4,3,8,2]
[4,1,3,6,7,8,2,5]=>[5,2,8,7,6,3,1,4]
[1,7,6,3,2,5,8,4]=>[4,8,5,2,3,6,7,1]
[3,8,1,5,6,2,7,4]=>[4,7,2,6,5,1,8,3]
[8,2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2,8]
[7,1,5,2,8,6,4,3]=>[3,4,6,8,2,5,1,7]
[6,5,4,8,7,2,1,3]=>[3,1,2,7,8,4,5,6]
[1,8,6,4,5,2,7,3]=>[3,7,2,5,4,6,8,1]
[1,8,5,3,6,2,7,4]=>[4,7,2,6,3,5,8,1]
[3,6,2,1,7,5,8,4]=>[4,8,5,7,1,2,6,3]
[2,5,4,1,8,7,6,3]=>[3,6,7,8,1,4,5,2]
[4,7,2,6,5,8,1,3]=>[3,1,8,5,6,2,7,4]
[6,8,1,4,2,7,3,5]=>[5,3,7,2,4,1,8,6]
[6,3,4,7,1,8,2,5]=>[5,2,8,1,7,4,3,6]
[3,4,7,8,2,5,6,1]=>[1,6,5,2,8,7,4,3]
[1,8,2,4,5,6,7,3]=>[3,7,6,5,4,2,8,1]
[5,2,4,1,6,8,7,3]=>[3,7,8,6,1,4,2,5]
[3,2,5,7,6,1,8,4]=>[4,8,1,6,7,5,2,3]
[4,3,5,6,1,8,7,2]=>[2,7,8,1,6,5,3,4]
[5,3,4,1,7,6,8,2]=>[2,8,6,7,1,4,3,5]
[3,1,4,6,5,7,8,2]=>[2,8,7,5,6,4,1,3]
[1,4,7,3,5,6,8,2]=>[2,8,6,5,3,7,4,1]
[5,1,3,6,4,8,7,2]=>[2,7,8,4,6,3,1,5]
[1,3,2,7,5,8,6,4]=>[4,6,8,5,7,2,3,1]
[1,4,2,5,8,3,7,6]=>[6,7,3,8,5,2,4,1]
[1,4,2,7,8,5,6,3]=>[3,6,5,8,7,2,4,1]
[5,1,2,6,8,4,7,3]=>[3,7,4,8,6,2,1,5]
[3,1,2,6,5,8,4,7]=>[7,4,8,5,6,2,1,3]
[4,1,2,6,8,5,3,7]=>[7,3,5,8,6,2,1,4]
[1,5,2,4,8,7,6,3]=>[3,6,7,8,4,2,5,1]
[1,2,6,4,8,7,5,3]=>[3,5,7,8,4,6,2,1]
[1,2,7,4,8,6,5,3]=>[3,5,6,8,4,7,2,1]
[1,3,2,7,5,8,4,6]=>[6,4,8,5,7,2,3,1]
[2,3,1,7,5,4,8,6]=>[6,8,4,5,7,1,3,2]
[1,3,2,8,5,7,4,6]=>[6,4,7,5,8,2,3,1]
[1,4,2,5,8,7,3,6]=>[6,3,7,8,5,2,4,1]
[1,5,2,4,8,7,3,6]=>[6,3,7,8,4,2,5,1]
[1,2,6,4,8,7,3,5]=>[5,3,7,8,4,6,2,1]
[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]
[1,2,6,8,5,7,3,4]=>[4,3,7,5,8,6,2,1]
[1,5,6,8,2,7,3,4]=>[4,3,7,2,8,6,5,1]
[1,3,8,2,6,7,4,5]=>[5,4,7,6,2,8,3,1]
[1,4,7,2,8,6,3,5]=>[5,3,6,8,2,7,4,1]
[1,6,7,8,2,5,3,4]=>[4,3,5,2,8,7,6,1]
[1,2,6,8,3,7,5,4]=>[4,5,7,3,8,6,2,1]
[1,5,7,8,2,3,6,4]=>[4,6,3,2,8,7,5,1]
[1,5,2,7,8,4,6,3]=>[3,6,4,8,7,2,5,1]
[1,4,7,2,8,3,6,5]=>[5,6,3,8,2,7,4,1]
[1,3,6,2,4,8,7,5]=>[5,7,8,4,2,6,3,1]
[1,6,7,3,4,8,5,2]=>[2,5,8,4,3,7,6,1]
[1,5,3,7,4,8,6,2]=>[2,6,8,4,7,3,5,1]
[2,8,4,1,5,3,7,6]=>[6,7,3,5,1,4,8,2]
[3,8,4,1,5,7,2,6]=>[6,2,7,5,1,4,8,3]
[1,3,6,4,2,8,7,5]=>[5,7,8,2,4,6,3,1]
[1,3,7,4,2,8,6,5]=>[5,6,8,2,4,7,3,1]
[1,3,8,4,2,7,6,5]=>[5,6,7,2,4,8,3,1]
[1,2,8,4,7,3,6,5]=>[5,6,3,7,4,8,2,1]
[1,2,7,4,8,3,6,5]=>[5,6,3,8,4,7,2,1]
[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]
[1,5,2,4,8,3,7,6]=>[6,7,3,8,4,2,5,1]
[1,8,4,5,7,2,3,6]=>[6,3,2,7,5,4,8,1]
[1,8,3,5,2,7,4,6]=>[6,4,7,2,5,3,8,1]
[2,8,3,5,1,4,7,6]=>[6,7,4,1,5,3,8,2]
[2,3,8,6,1,4,7,5]=>[5,7,4,1,6,8,3,2]
[1,3,8,6,2,7,4,5]=>[5,4,7,2,6,8,3,1]
[1,4,8,6,7,2,3,5]=>[5,3,2,7,6,8,4,1]
[1,5,6,8,7,2,3,4]=>[4,3,2,7,8,6,5,1]
[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]
[1,2,7,8,5,3,6,4]=>[4,6,3,5,8,7,2,1]
[1,2,5,8,7,3,6,4]=>[4,6,3,7,8,5,2,1]
[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]
[1,2,7,8,6,3,5,4]=>[4,5,3,6,8,7,2,1]
[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]
[1,5,7,8,6,2,3,4]=>[4,3,2,6,8,7,5,1]
[1,4,7,6,8,2,3,5]=>[5,3,2,8,6,7,4,1]
[1,3,7,6,2,8,4,5]=>[5,4,8,2,6,7,3,1]
[2,3,8,7,4,1,6,5]=>[5,6,1,4,7,8,3,2]
[1,2,8,4,7,6,3,5]=>[5,3,6,7,4,8,2,1]
[1,2,5,8,7,6,3,4]=>[4,3,6,7,8,5,2,1]
[1,2,6,8,7,5,3,4]=>[4,3,5,7,8,6,2,1]
[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]
[5,2,6,7,3,4,8,1]=>[1,8,4,3,7,6,2,5]
[5,2,4,7,6,3,8,1]=>[1,8,3,6,7,4,2,5]
[5,6,2,1,7,8,3,4]=>[4,3,8,7,1,2,6,5]
[5,6,2,1,4,8,7,3]=>[3,7,8,4,1,2,6,5]
[2,6,1,4,5,8,7,3]=>[3,7,8,5,4,1,6,2]
[5,4,2,7,6,3,8,1]=>[1,8,3,6,7,2,4,5]
[2,3,7,6,4,5,8,1]=>[1,8,5,4,6,7,3,2]
[2,6,1,7,5,8,3,4]=>[4,3,8,5,7,1,6,2]
[2,6,1,7,4,8,5,3]=>[3,5,8,4,7,1,6,2]
[5,1,2,7,8,4,3,6]=>[6,3,4,8,7,2,1,5]
[2,6,1,7,4,8,3,5]=>[5,3,8,4,7,1,6,2]
[3,6,4,1,7,8,2,5]=>[5,2,8,7,1,4,6,3]
[5,4,6,1,3,8,7,2]=>[2,7,8,3,1,6,4,5]
[3,6,4,1,5,8,7,2]=>[2,7,8,5,1,4,6,3]
[2,6,1,5,4,8,7,3]=>[3,7,8,4,5,1,6,2]
[2,6,1,4,7,8,5,3]=>[3,5,8,7,4,1,6,2]
[5,1,2,4,8,6,7,3]=>[3,7,6,8,4,2,1,5]
[5,1,2,4,8,7,3,6]=>[6,3,7,8,4,2,1,5]
[5,1,2,4,8,7,6,3]=>[3,6,7,8,4,2,1,5]
[1,2,3,8,5,4,7,6]=>[6,7,4,5,8,3,2,1]
[4,3,1,2,8,5,7,6]=>[6,7,5,8,2,1,3,4]
[2,1,5,3,8,6,4,7]=>[7,4,6,8,3,5,1,2]
[1,2,3,8,5,6,4,7]=>[7,4,6,5,8,3,2,1]
[1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]
[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]
[1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]
[2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]
[5,1,2,4,8,6,3,7]=>[7,3,6,8,4,2,1,5]
[5,1,2,4,8,3,7,6]=>[6,7,3,8,4,2,1,5]
[5,6,3,1,4,8,2,7]=>[7,2,8,4,1,3,6,5]
[2,5,4,3,1,8,6,7]=>[7,6,8,1,3,4,5,2]
[5,4,6,3,1,8,7,2]=>[2,7,8,1,3,6,4,5]
[3,6,4,5,1,8,7,2]=>[2,7,8,1,5,4,6,3]
[3,6,5,4,1,8,7,2]=>[2,7,8,1,4,5,6,3]
[5,2,6,1,7,8,4,3]=>[3,4,8,7,1,6,2,5]
[5,1,6,2,8,7,3,4]=>[4,3,7,8,2,6,1,5]
[2,1,3,7,8,6,4,5]=>[5,4,6,8,7,3,1,2]
[2,1,3,7,8,5,6,4]=>[4,6,5,8,7,3,1,2]
[5,2,4,1,7,8,6,3]=>[3,6,8,7,1,4,2,5]
[4,3,1,2,8,6,7,5]=>[5,7,6,8,2,1,3,4]
[5,1,4,2,8,6,7,3]=>[3,7,6,8,2,4,1,5]
[2,1,3,6,8,5,7,4]=>[4,7,5,8,6,3,1,2]
[1,2,3,8,6,7,4,5]=>[5,4,7,6,8,3,2,1]
[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]
[1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]
[1,2,3,8,5,7,4,6]=>[6,4,7,5,8,3,2,1]
[2,1,3,6,8,7,4,5]=>[5,4,7,8,6,3,1,2]
[5,4,1,2,8,7,6,3]=>[3,6,7,8,2,1,4,5]
[3,1,6,2,8,7,5,4]=>[4,5,7,8,2,6,1,3]
[1,2,8,4,5,3,6,7]=>[7,6,3,5,4,8,2,1]
[1,8,3,4,2,5,6,7]=>[7,6,5,2,4,3,8,1]
[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]
[8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8]
[8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8]
[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]
[8,7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7,8]
[8,6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6,8]
[8,5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5,8]
[8,1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1,8]
[8,1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1,8]
[8,2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2,8]
[8,3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3,8]
[8,5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5,8]
[8,6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6,8]
[8,7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7,8]
[8,4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4,8]
[8,3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3,8]
[8,2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2,8]
[8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]
[8,7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7,8]
[8,1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1,8]
[8,3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3,8]
[8,4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4,8]
[8,5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5,8]
[8,6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6,8]
[8,5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5,8]
[8,3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3,8]
[8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8]
[8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8]
[8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]
[6,8,1,3,2,5,4,7]=>[7,4,5,2,3,1,8,6]
[6,8,1,4,2,5,3,7]=>[7,3,5,2,4,1,8,6]
[7,8,3,6,1,4,2,5]=>[5,2,4,1,6,3,8,7]
[7,8,2,5,3,6,1,4]=>[4,1,6,3,5,2,8,7]
[7,8,2,5,1,4,3,6]=>[6,3,4,1,5,2,8,7]
[7,8,1,4,3,6,2,5]=>[5,2,6,3,4,1,8,7]
[5,8,1,4,3,7,2,6]=>[6,2,7,3,4,1,8,5]
[6,8,2,5,1,4,3,7]=>[7,3,4,1,5,2,8,6]
[6,8,2,5,3,7,1,4]=>[4,1,7,3,5,2,8,6]
[6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]
[2,5,4,7,6,8,1,3]=>[3,1,8,6,7,4,5,2]
[2,5,3,7,6,8,1,4]=>[4,1,8,6,7,3,5,2]
[2,5,1,4,3,7,6,8]=>[8,6,7,3,4,1,5,2]
[2,6,1,4,3,7,5,8]=>[8,5,7,3,4,1,6,2]
[2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]
[2,6,1,5,3,7,4,8]=>[8,4,7,3,5,1,6,2]
[2,6,3,7,4,8,1,5]=>[5,1,8,4,7,3,6,2]
[2,6,4,7,5,8,1,3]=>[3,1,8,5,7,4,6,2]
[5,8,3,6,4,7,1,2]=>[2,1,7,4,6,3,8,5]
[5,8,2,6,4,7,1,3]=>[3,1,7,4,6,2,8,5]
[4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]
[4,8,1,5,3,7,2,6]=>[6,2,7,3,5,1,8,4]
[4,8,1,5,2,6,3,7]=>[7,3,6,2,5,1,8,4]
[4,8,3,7,1,5,2,6]=>[6,2,5,1,7,3,8,4]
[6,8,3,7,1,4,2,5]=>[5,2,4,1,7,3,8,6]
[5,8,1,3,2,6,4,7]=>[7,4,6,2,3,1,8,5]
[5,8,4,7,1,3,2,6]=>[6,2,3,1,7,4,8,5]
[6,8,4,7,1,3,2,5]=>[5,2,3,1,7,4,8,6]
[6,8,5,7,1,3,2,4]=>[4,2,3,1,7,5,8,6]
[5,7,6,8,2,4,1,3]=>[3,1,4,2,8,6,7,5]
[4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]
[4,7,5,8,1,3,2,6]=>[6,2,3,1,8,5,7,4]
[4,7,1,3,2,6,5,8]=>[8,5,6,2,3,1,7,4]
[3,7,1,4,2,6,5,8]=>[8,5,6,2,4,1,7,3]
[3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]
[3,7,6,8,1,4,2,5]=>[5,2,4,1,8,6,7,3]
[3,7,6,8,2,5,1,4]=>[4,1,5,2,8,6,7,3]
[4,7,6,8,2,5,1,3]=>[3,1,5,2,8,6,7,4]
[4,7,5,8,3,6,1,2]=>[2,1,6,3,8,5,7,4]
[4,7,5,8,2,6,1,3]=>[3,1,6,2,8,5,7,4]
[3,7,5,8,2,6,1,4]=>[4,1,6,2,8,5,7,3]
[3,7,4,8,2,6,1,5]=>[5,1,6,2,8,4,7,3]
[3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]
[3,7,1,5,2,6,4,8]=>[8,4,6,2,5,1,7,3]
[3,7,2,6,1,5,4,8]=>[8,4,5,1,6,2,7,3]
[3,7,2,6,5,8,1,4]=>[4,1,8,5,6,2,7,3]
[4,7,3,6,5,8,1,2]=>[2,1,8,5,6,3,7,4]
[3,6,5,8,4,7,1,2]=>[2,1,7,4,8,5,6,3]
[2,6,5,8,4,7,1,3]=>[3,1,7,4,8,5,6,2]
[2,6,5,8,3,7,1,4]=>[4,1,7,3,8,5,6,2]
[2,6,3,7,1,5,4,8]=>[8,4,5,1,7,3,6,2]
[7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]
[7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]
[7,6,4,8,5,2,3,1]=>[1,3,2,5,8,4,6,7]
[6,8,4,3,7,2,1,5]=>[5,1,2,7,3,4,8,6]
[6,7,4,3,5,1,8,2]=>[2,8,1,5,3,4,7,6]
[6,7,3,5,4,8,2,1]=>[1,2,8,4,5,3,7,6]
[6,8,3,7,5,2,4,1]=>[1,4,2,5,7,3,8,6]
[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]
[7,6,3,5,8,2,4,1]=>[1,4,2,8,5,3,6,7]
[7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]
[7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]
[7,6,2,8,4,1,5,3]=>[3,5,1,4,8,2,6,7]
[7,6,3,8,2,4,1,5]=>[5,1,4,2,8,3,6,7]
[7,6,3,4,8,2,5,1]=>[1,5,2,8,4,3,6,7]
[6,8,3,7,4,5,2,1]=>[1,2,5,4,7,3,8,6]
[6,7,3,5,8,4,2,1]=>[1,2,4,8,5,3,7,6]
[5,7,8,3,6,2,1,4]=>[4,1,2,6,3,8,7,5]
[5,8,3,6,7,2,1,4]=>[4,1,2,7,6,3,8,5]
[6,3,4,8,7,2,5,1]=>[1,5,2,7,8,4,3,6]
[6,3,8,4,7,2,1,5]=>[5,1,2,7,4,8,3,6]
[6,2,8,4,1,7,5,3]=>[3,5,7,1,4,8,2,6]
[6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]
[6,3,4,7,5,8,2,1]=>[1,2,8,5,7,4,3,6]
[6,3,5,7,8,4,2,1]=>[1,2,4,8,7,5,3,6]
[5,7,3,6,8,2,1,4]=>[4,1,2,8,6,3,7,5]
[5,6,8,3,7,2,1,4]=>[4,1,2,7,3,8,6,5]
[5,6,7,3,4,1,8,2]=>[2,8,1,4,3,7,6,5]
[4,6,7,8,3,5,2,1]=>[1,2,5,3,8,7,6,4]
[4,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,4]
[4,7,3,5,6,8,2,1]=>[1,2,8,6,5,3,7,4]
[4,7,3,5,8,2,6,1]=>[1,6,2,8,5,3,7,4]
[5,3,4,7,8,2,1,6]=>[6,1,2,8,7,4,3,5]
[5,3,8,2,4,1,6,7]=>[7,6,1,4,2,8,3,5]
[5,3,4,8,2,6,1,7]=>[7,1,6,2,8,4,3,5]
[4,8,3,6,2,5,7,1]=>[1,7,5,2,6,3,8,4]
[4,8,3,5,7,2,6,1]=>[1,6,2,7,5,3,8,4]
[4,8,3,5,6,7,2,1]=>[1,2,7,6,5,3,8,4]
[4,7,8,3,5,6,2,1]=>[1,2,6,5,3,8,7,4]
[4,7,8,3,6,2,5,1]=>[1,5,2,6,3,8,7,4]
[4,8,3,6,7,2,5,1]=>[1,5,2,7,6,3,8,4]
[4,8,3,7,2,5,6,1]=>[1,6,5,2,7,3,8,4]
[5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]
[5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]
[5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]
[6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]
[6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]
[6,3,5,8,7,2,4,1]=>[1,4,2,7,8,5,3,6]
[5,8,3,7,2,6,4,1]=>[1,4,6,2,7,3,8,5]
[5,7,3,4,8,2,1,6]=>[6,1,2,8,4,3,7,5]
[5,8,4,2,3,1,6,7]=>[7,6,1,3,2,4,8,5]
[5,8,4,2,3,1,7,6]=>[6,7,1,3,2,4,8,5]
[6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]
[6,4,8,5,3,7,2,1]=>[1,2,7,3,5,8,4,6]
[6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]
[6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]
[6,4,2,7,3,1,8,5]=>[5,8,1,3,7,2,4,6]
[6,4,3,7,8,5,2,1]=>[1,2,5,8,7,3,4,6]
[6,4,5,3,7,1,8,2]=>[2,8,1,7,3,5,4,6]
[5,7,4,2,3,1,6,8]=>[8,6,1,3,2,4,7,5]
[5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]
[5,6,3,4,7,1,8,2]=>[2,8,1,7,4,3,6,5]
[5,6,3,4,8,2,1,7]=>[7,1,2,8,4,3,6,5]
[6,3,5,7,4,8,2,1]=>[1,2,8,4,7,5,3,6]
[6,3,5,4,7,8,2,1]=>[1,2,8,7,4,5,3,6]
[6,4,3,5,7,1,8,2]=>[2,8,1,7,5,3,4,6]
[6,4,2,5,1,7,3,8]=>[8,3,7,1,5,2,4,6]
[5,3,7,2,4,1,6,8]=>[8,6,1,4,2,7,3,5]
[5,3,4,7,2,6,1,8]=>[8,1,6,2,7,4,3,5]
[4,7,3,6,2,5,8,1]=>[1,8,5,2,6,3,7,4]
[4,7,3,6,8,2,5,1]=>[1,5,2,8,6,3,7,4]
[4,6,7,3,5,8,2,1]=>[1,2,8,5,3,7,6,4]
[4,5,7,8,3,6,2,1]=>[1,2,6,3,8,7,5,4]
[4,5,8,3,6,7,2,1]=>[1,2,7,6,3,8,5,4]
[4,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,4]
[5,3,4,6,8,2,1,7]=>[7,1,2,8,6,4,3,5]
[5,3,6,8,2,1,4,7]=>[7,4,1,2,8,6,3,5]
[5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]
[5,3,4,6,7,1,8,2]=>[2,8,1,7,6,4,3,5]
[4,6,3,5,7,8,2,1]=>[1,2,8,7,5,3,6,4]
[4,5,7,3,6,8,2,1]=>[1,2,8,6,3,7,5,4]
[4,5,6,8,3,7,2,1]=>[1,2,7,3,8,6,5,4]
[5,7,4,8,6,3,2,1]=>[1,2,3,6,8,4,7,5]
[3,2,6,5,1,8,7,4]=>[4,7,8,1,5,6,2,3]
[3,5,6,7,2,8,4,1]=>[1,4,8,2,7,6,5,3]
[1,6,2,5,3,4,8,7]=>[7,8,4,3,5,2,6,1]
[1,3,8,2,4,6,5,7]=>[7,5,6,4,2,8,3,1]
[1,7,2,3,6,4,8,5]=>[5,8,4,6,3,2,7,1]
[1,6,8,2,5,3,7,4]=>[4,7,3,5,2,8,6,1]
[1,8,2,5,3,4,7,6]=>[6,7,4,3,5,2,8,1]
[1,8,2,3,6,4,7,5]=>[5,7,4,6,3,2,8,1]
[1,3,5,2,8,4,7,6]=>[6,7,4,8,2,5,3,1]
[1,2,7,3,5,4,6,8]=>[8,6,4,5,3,7,2,1]
[1,8,2,7,3,4,6,5]=>[5,6,4,3,7,2,8,1]
[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]
[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]
[5,3,6,1,2,4,8,7]=>[7,8,4,2,1,6,3,5]
[7,1,5,8,4,2,3,6]=>[6,3,2,4,8,5,1,7]
[8,1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1,8]
[7,1,4,5,8,2,3,6]=>[6,3,2,8,5,4,1,7]
[7,4,1,6,2,8,3,5]=>[5,3,8,2,6,1,4,7]
[8,4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4,8]
[8,1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1,8]
[8,1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1,8]
[2,1,7,5,8,3,4,6]=>[6,4,3,8,5,7,1,2]
[7,1,5,4,8,2,3,6]=>[6,3,2,8,4,5,1,7]
[7,1,4,8,5,2,3,6]=>[6,3,2,5,8,4,1,7]
[6,4,1,7,2,3,8,5]=>[5,8,3,2,7,1,4,6]
[7,8,3,1,2,4,6,5]=>[5,6,4,2,1,3,8,7]
[8,7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7,8]
[8,6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6,8]
[7,6,1,8,4,2,3,5]=>[5,3,2,4,8,1,6,7]
[7,3,8,1,2,4,6,5]=>[5,6,4,2,1,8,3,7]
[8,3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3,8]
[8,3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3,8]
[8,3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3,8]
[7,3,6,1,2,4,8,5]=>[5,8,4,2,1,6,3,7]
[6,7,1,8,4,2,3,5]=>[5,3,2,4,8,1,7,6]
[6,8,1,7,4,2,3,5]=>[5,3,2,4,7,1,8,6]
[7,1,8,5,4,2,3,6]=>[6,3,2,4,5,8,1,7]
[7,1,8,4,5,2,3,6]=>[6,3,2,5,4,8,1,7]
[2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]
[7,6,3,1,2,4,8,5]=>[5,8,4,2,1,3,6,7]
[6,1,2,3,8,7,5,4]=>[4,5,7,8,3,2,1,6]
[6,8,1,4,2,3,7,5]=>[5,7,3,2,4,1,8,6]
[6,8,3,1,2,7,4,5]=>[5,4,7,2,1,3,8,6]
[6,7,3,1,2,8,4,5]=>[5,4,8,2,1,3,7,6]
[6,7,1,4,2,3,8,5]=>[5,8,3,2,4,1,7,6]
[4,3,6,8,5,7,1,2]=>[2,1,7,5,8,6,3,4]
[6,1,2,5,4,8,3,7]=>[7,3,8,4,5,2,1,6]
[3,2,8,5,4,1,7,6]=>[6,7,1,4,5,8,2,3]
[7,8,2,1,4,6,3,5]=>[5,3,6,4,1,2,8,7]
[7,2,1,5,8,3,4,6]=>[6,4,3,8,5,1,2,7]
[2,4,8,5,1,3,6,7]=>[7,6,3,1,5,8,4,2]
[3,5,6,1,8,4,2,7]=>[7,2,4,8,1,6,5,3]
[1,3,6,8,7,4,2,5]=>[5,2,4,7,8,6,3,1]
[1,2,8,5,7,3,4,6]=>[6,4,3,7,5,8,2,1]
[2,6,1,5,8,3,4,7]=>[7,4,3,8,5,1,6,2]
[5,7,1,6,8,4,3,2]=>[2,3,4,8,6,1,7,5]
[4,8,1,2,5,7,3,6]=>[6,3,7,5,2,1,8,4]
[8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]
[8,3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3,8]
[3,8,1,4,7,2,5,6]=>[6,5,2,7,4,1,8,3]
[1,7,8,4,6,2,5,3]=>[3,5,2,6,4,8,7,1]
[3,7,4,8,5,1,6,2]=>[2,6,1,5,8,4,7,3]
[3,7,1,6,5,4,8,2]=>[2,8,4,5,6,1,7,3]
[2,7,3,1,5,8,4,6]=>[6,4,8,5,1,3,7,2]
[2,7,4,6,8,1,3,5]=>[5,3,1,8,6,4,7,2]
[2,7,5,8,6,4,1,3]=>[3,1,4,6,8,5,7,2]
[8,2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2,8]
[3,8,7,1,6,4,5,2]=>[2,5,4,6,1,7,8,3]
[3,6,8,2,7,4,1,5]=>[5,1,4,7,2,8,6,3]
[1,5,2,8,7,4,6,3]=>[3,6,4,7,8,2,5,1]
[3,4,2,7,8,1,6,5]=>[5,6,1,8,7,2,4,3]
[4,1,3,7,5,6,8,2]=>[2,8,6,5,7,3,1,4]
[6,3,8,1,7,4,2,5]=>[5,2,4,7,1,8,3,6]
[6,5,8,7,1,4,2,3]=>[3,2,4,1,7,8,5,6]
[4,1,7,3,8,5,2,6]=>[6,2,5,8,3,7,1,4]
[3,6,1,4,5,8,2,7]=>[7,2,8,5,4,1,6,3]
[1,6,7,4,5,3,8,2]=>[2,8,3,5,4,7,6,1]
[6,1,7,3,5,4,8,2]=>[2,8,4,5,3,7,1,6]
[6,3,1,2,5,8,4,7]=>[7,4,8,5,2,1,3,6]
[1,4,7,2,8,5,3,6]=>[6,3,5,8,2,7,4,1]
[5,6,8,7,2,4,1,3]=>[3,1,4,2,7,8,6,5]
[6,8,5,7,1,2,4,3]=>[3,4,2,1,7,5,8,6]
[2,8,4,1,7,5,6,3]=>[3,6,5,7,1,4,8,2]
[8,2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2,8]
[6,8,2,1,5,7,3,4]=>[4,3,7,5,1,2,8,6]
[7,2,8,4,1,6,3,5]=>[5,3,6,1,4,8,2,7]
[1,2,4,8,6,5,3,7]=>[7,3,5,6,8,4,2,1]
[7,1,5,6,8,4,3,2]=>[2,3,4,8,6,5,1,7]
[2,7,8,1,4,6,3,5]=>[5,3,6,4,1,8,7,2]
[4,8,2,5,7,1,6,3]=>[3,6,1,7,5,2,8,4]
[4,1,6,8,5,3,7,2]=>[2,7,3,5,8,6,1,4]
[5,2,6,4,8,3,1,7]=>[7,1,3,8,4,6,2,5]
[6,7,1,3,4,5,8,2]=>[2,8,5,4,3,1,7,6]
[1,7,3,2,4,8,5,6]=>[6,5,8,4,2,3,7,1]
[1,3,6,5,2,8,4,7]=>[7,4,8,2,5,6,3,1]
[7,1,6,5,3,4,8,2]=>[2,8,4,3,5,6,1,7]
[6,3,4,2,8,7,5,1]=>[1,5,7,8,2,4,3,6]
[4,3,8,7,5,2,6,1]=>[1,6,2,5,7,8,3,4]
[6,8,7,4,2,3,5,1]=>[1,5,3,2,4,7,8,6]
[3,6,4,5,2,8,7,1]=>[1,7,8,2,5,4,6,3]
[8,6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6,8]
[5,3,8,6,1,2,4,7]=>[7,4,2,1,6,8,3,5]
[2,5,6,3,4,8,7,1]=>[1,7,8,4,3,6,5,2]
[2,5,3,6,8,7,4,1]=>[1,4,7,8,6,3,5,2]
[4,8,7,3,5,2,6,1]=>[1,6,2,5,3,7,8,4]
[3,8,7,2,6,4,5,1]=>[1,5,4,6,2,7,8,3]
[6,3,5,4,8,7,2,1]=>[1,2,7,8,4,5,3,6]
[4,3,8,6,1,5,2,7]=>[7,2,5,1,6,8,3,4]
[4,7,6,2,5,3,8,1]=>[1,8,3,5,2,6,7,4]
[7,5,2,6,8,1,4,3]=>[3,4,1,8,6,2,5,7]
[8,5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5,8]
[1,8,5,3,6,2,4,7]=>[7,4,2,6,3,5,8,1]
[5,1,7,2,4,3,8,6]=>[6,8,3,4,2,7,1,5]
[1,5,3,4,8,6,2,7]=>[7,2,6,8,4,3,5,1]
[5,4,1,3,8,6,2,7]=>[7,2,6,8,3,1,4,5]
[5,1,8,6,3,4,2,7]=>[7,2,4,3,6,8,1,5]
[4,5,2,8,3,7,6,1]=>[1,6,7,3,8,2,5,4]
[8,2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2,8]
[5,8,2,4,7,6,3,1]=>[1,3,6,7,4,2,8,5]
[6,8,2,5,3,4,7,1]=>[1,7,4,3,5,2,8,6]
[7,2,5,6,4,8,1,3]=>[3,1,8,4,6,5,2,7]
[1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]
[7,1,3,5,8,2,6,4]=>[4,6,2,8,5,3,1,7]
[8,2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2,8]
[6,3,1,4,7,5,8,2]=>[2,8,5,7,4,1,3,6]
[4,1,3,8,2,6,7,5]=>[5,7,6,2,8,3,1,4]
[2,8,3,6,7,5,4,1]=>[1,4,5,7,6,3,8,2]
[3,1,7,2,8,5,4,6]=>[6,4,5,8,2,7,1,3]
[3,6,1,4,7,2,8,5]=>[5,8,2,7,4,1,6,3]
[1,5,8,4,7,2,3,6]=>[6,3,2,7,4,8,5,1]
[7,1,3,6,2,8,4,5]=>[5,4,8,2,6,3,1,7]
[6,2,7,4,5,8,1,3]=>[3,1,8,5,4,7,2,6]
[2,1,8,4,5,7,3,6]=>[6,3,7,5,4,8,1,2]
[1,8,5,7,3,2,4,6]=>[6,4,2,3,7,5,8,1]
[2,1,8,5,4,3,6,7]=>[7,6,3,4,5,8,1,2]
[2,7,4,1,5,3,8,6]=>[6,8,3,5,1,4,7,2]
[7,4,8,6,2,3,1,5]=>[5,1,3,2,6,8,4,7]
[2,7,1,4,6,3,8,5]=>[5,8,3,6,4,1,7,2]
[4,7,5,6,8,1,3,2]=>[2,3,1,8,6,5,7,4]
[7,1,3,2,8,5,4,6]=>[6,4,5,8,2,3,1,7]
[2,8,5,4,1,3,6,7]=>[7,6,3,1,4,5,8,2]
[5,1,7,4,2,3,8,6]=>[6,8,3,2,4,7,1,5]
[3,8,6,5,1,4,2,7]=>[7,2,4,1,5,6,8,3]
[1,3,4,8,6,5,2,7]=>[7,2,5,6,8,4,3,1]
[4,1,8,6,5,3,2,7]=>[7,2,3,5,6,8,1,4]
[4,8,5,2,7,3,6,1]=>[1,6,3,7,2,5,8,4]
[7,2,8,5,3,6,4,1]=>[1,4,6,3,5,8,2,7]
[5,2,8,4,3,7,6,1]=>[1,6,7,3,4,8,2,5]
[8,4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4,8]
[7,5,2,8,4,6,1,3]=>[3,1,6,4,8,2,5,7]
[5,7,4,3,6,2,8,1]=>[1,8,2,6,3,4,7,5]
[6,7,5,1,2,8,3,4]=>[4,3,8,2,1,5,7,6]
[5,2,6,8,3,4,7,1]=>[1,7,4,3,8,6,2,5]
[7,6,2,4,5,8,3,1]=>[1,3,8,5,4,2,6,7]
[3,6,8,4,7,2,5,1]=>[1,5,2,7,4,8,6,3]
[7,6,3,8,4,2,5,1]=>[1,5,2,4,8,3,6,7]
[2,6,3,8,4,7,5,1]=>[1,5,7,4,8,3,6,2]
[7,2,3,6,5,8,4,1]=>[1,4,8,5,6,3,2,7]
[6,2,7,5,8,3,1,4]=>[4,1,3,8,5,7,2,6]
[2,8,3,6,4,5,7,1]=>[1,7,5,4,6,3,8,2]
[2,1,5,6,8,3,7,4]=>[4,7,3,8,6,5,1,2]
[5,8,1,2,6,4,7,3]=>[3,7,4,6,2,1,8,5]
[1,6,8,3,2,7,4,5]=>[5,4,7,2,3,8,6,1]
[6,5,7,2,8,4,1,3]=>[3,1,4,8,2,7,5,6]
[7,5,1,2,8,4,6,3]=>[3,6,4,8,2,1,5,7]
[5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]
[5,8,2,7,4,3,6,1]=>[1,6,3,4,7,2,8,5]
[6,4,5,8,2,7,3,1]=>[1,3,7,2,8,5,4,6]
[5,7,3,6,4,8,2,1]=>[1,2,8,4,6,3,7,5]
[1,5,6,4,8,2,7,3]=>[3,7,2,8,4,6,5,1]
[3,1,5,6,4,8,7,2]=>[2,7,8,4,6,5,1,3]
[1,3,6,2,5,7,8,4]=>[4,8,7,5,2,6,3,1]
[1,4,6,3,5,7,8,2]=>[2,8,7,5,3,6,4,1]
[3,5,1,6,4,7,8,2]=>[2,8,7,4,6,1,5,3]
[3,6,1,4,2,7,8,5]=>[5,8,7,2,4,1,6,3]
[2,4,6,3,1,7,8,5]=>[5,8,7,1,3,6,4,2]
[1,3,6,5,2,7,8,4]=>[4,8,7,2,5,6,3,1]
[1,2,6,4,3,8,5,7]=>[7,5,8,3,4,6,2,1]
[1,2,6,3,5,8,7,4]=>[4,7,8,5,3,6,2,1]
[2,3,5,1,8,4,7,6]=>[6,7,4,8,1,5,3,2]
[2,3,6,1,8,5,4,7]=>[7,4,5,8,1,6,3,2]
[1,2,7,4,6,8,3,5]=>[5,3,8,6,4,7,2,1]
[2,3,7,5,1,8,4,6]=>[6,4,8,1,5,7,3,2]
[4,7,2,5,3,8,6,1]=>[1,6,8,3,5,2,7,4]
[3,1,7,5,4,8,6,2]=>[2,6,8,4,5,7,1,3]
[1,2,7,6,4,8,5,3]=>[3,5,8,4,6,7,2,1]
[1,2,7,3,6,8,5,4]=>[4,5,8,6,3,7,2,1]
[2,3,6,1,8,5,7,4]=>[4,7,5,8,1,6,3,2]
[3,1,5,4,8,7,6,2]=>[2,6,7,8,4,5,1,3]
[1,2,5,8,4,7,3,6]=>[6,3,7,4,8,5,2,1]
[1,2,6,8,5,4,7,3]=>[3,7,4,5,8,6,2,1]
[1,3,6,8,5,2,7,4]=>[4,7,2,5,8,6,3,1]
[3,5,7,4,8,2,1,6]=>[6,1,2,8,4,7,5,3]
[2,4,7,6,8,3,1,5]=>[5,1,3,8,6,7,4,2]
[1,4,6,8,3,5,2,7]=>[7,2,5,3,8,6,4,1]
[1,3,6,8,5,2,4,7]=>[7,4,2,5,8,6,3,1]
[1,2,6,8,5,4,3,7]=>[7,3,4,5,8,6,2,1]
[1,2,5,8,4,3,7,6]=>[6,7,3,4,8,5,2,1]
[1,3,5,8,2,4,7,6]=>[6,7,4,2,8,5,3,1]
[1,3,6,8,2,5,4,7]=>[7,4,5,2,8,6,3,1]
[1,4,6,8,3,2,5,7]=>[7,5,2,3,8,6,4,1]
[3,5,7,4,8,1,2,6]=>[6,2,1,8,4,7,5,3]
[4,6,1,7,5,8,2,3]=>[3,2,8,5,7,1,6,4]
[2,3,6,7,5,8,1,4]=>[4,1,8,5,7,6,3,2]
[1,3,7,5,6,8,2,4]=>[4,2,8,6,5,7,3,1]
[2,3,6,5,8,1,7,4]=>[4,7,1,8,5,6,3,2]
[3,4,6,2,8,1,7,5]=>[5,7,1,8,2,6,4,3]
[3,5,4,6,8,2,1,7]=>[7,1,2,8,6,4,5,3]
[3,5,4,6,8,1,2,7]=>[7,2,1,8,6,4,5,3]
[1,2,4,7,5,8,3,6]=>[6,3,8,5,7,4,2,1]
[1,2,6,7,4,8,3,5]=>[5,3,8,4,7,6,2,1]
[3,6,4,7,1,8,5,2]=>[2,5,8,1,7,4,6,3]
[1,2,6,7,3,8,5,4]=>[4,5,8,3,7,6,2,1]
[1,2,5,7,3,8,6,4]=>[4,6,8,3,7,5,2,1]
[3,1,5,7,6,8,4,2]=>[2,4,8,6,7,5,1,3]
[3,5,4,6,8,2,7,1]=>[1,7,2,8,6,4,5,3]
[4,2,6,1,8,7,5,3]=>[3,5,7,8,1,6,2,4]
[3,1,6,5,8,7,4,2]=>[2,4,7,8,5,6,1,3]
[2,3,6,5,8,7,1,4]=>[4,1,7,8,5,6,3,2]
[1,2,7,4,6,8,5,3]=>[3,5,8,6,4,7,2,1]
[1,2,7,5,6,8,4,3]=>[3,4,8,6,5,7,2,1]
[3,1,6,7,5,8,4,2]=>[2,4,8,5,7,6,1,3]
[4,6,2,7,5,8,3,1]=>[1,3,8,5,7,2,6,4]
[3,5,7,4,8,2,6,1]=>[1,6,2,8,4,7,5,3]
[2,4,7,6,8,3,5,1]=>[1,5,3,8,6,7,4,2]
[1,4,6,8,3,5,7,2]=>[2,7,5,3,8,6,4,1]
[1,3,6,8,2,5,7,4]=>[4,7,5,2,8,6,3,1]
[1,3,5,8,2,7,4,6]=>[6,4,7,2,8,5,3,1]
[1,2,5,8,4,7,6,3]=>[3,6,7,4,8,5,2,1]
[1,2,4,8,7,3,6,5]=>[5,6,3,7,8,4,2,1]
[1,2,5,8,7,4,3,6]=>[6,3,4,7,8,5,2,1]
[1,3,5,8,7,2,4,6]=>[6,4,2,7,8,5,3,1]
[2,3,7,6,8,5,1,4]=>[4,1,5,8,6,7,3,2]
[5,7,1,2,8,6,4,3]=>[3,4,6,8,2,1,7,5]
[3,1,7,6,8,5,4,2]=>[2,4,5,8,6,7,1,3]
[1,2,6,8,5,7,4,3]=>[3,4,7,5,8,6,2,1]
[1,2,5,8,7,4,6,3]=>[3,6,4,7,8,5,2,1]
[1,2,4,8,7,6,3,5]=>[5,3,6,7,8,4,2,1]
[6,4,5,7,2,8,1,3]=>[3,1,8,2,7,5,4,6]
[5,3,4,7,2,8,1,6]=>[6,1,8,2,7,4,3,5]
[3,2,7,4,6,8,1,5]=>[5,1,8,6,4,7,2,3]
[5,3,6,2,7,1,4,8]=>[8,4,1,7,2,6,3,5]
[2,6,3,4,7,1,5,8]=>[8,5,1,7,4,3,6,2]
[2,7,3,4,5,8,1,6]=>[6,1,8,5,4,3,7,2]
[3,7,4,5,6,8,1,2]=>[2,1,8,6,5,4,7,3]
[2,5,7,3,6,8,1,4]=>[4,1,8,6,3,7,5,2]
[4,7,6,2,3,8,1,5]=>[5,1,8,3,2,6,7,4]
[7,3,5,2,4,8,1,6]=>[6,1,8,4,2,5,3,7]
[7,6,2,4,5,8,1,3]=>[3,1,8,5,4,2,6,7]
[6,5,2,3,4,8,1,7]=>[7,1,8,4,3,2,5,6]
[5,3,1,2,8,4,7,6]=>[6,7,4,8,2,1,3,5]
[6,5,2,3,7,1,4,8]=>[8,4,1,7,3,2,5,6]
[5,2,1,7,3,4,6,8]=>[8,6,4,3,7,1,2,5]
[5,2,1,8,3,4,6,7]=>[7,6,4,3,8,1,2,5]
[6,3,2,8,4,5,7,1]=>[1,7,5,4,8,2,3,6]
[7,3,1,2,8,4,6,5]=>[5,6,4,8,2,1,3,7]
[6,4,1,3,8,5,7,2]=>[2,7,5,8,3,1,4,6]
[6,2,3,1,8,4,7,5]=>[5,7,4,8,1,3,2,6]
[8,3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3,8]
[8,6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6,8]
[8,5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5,8]
[8,2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2,8]
[8,6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6,8]
[7,1,6,2,3,4,5,8]=>[8,5,4,3,2,6,1,7]
[8,2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2,8]
[8,1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1,8]
[8,1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1,8]
[8,6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6,8]
[8,1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1,8]
[1,7,5,8,2,3,6,4]=>[4,6,3,2,8,5,7,1]
[7,2,1,8,3,4,5,6]=>[6,5,4,3,8,1,2,7]
[7,3,8,2,4,5,6,1]=>[1,6,5,4,2,8,3,7]
[7,2,8,3,4,5,6,1]=>[1,6,5,4,3,8,2,7]
[1,7,8,3,4,5,6,2]=>[2,6,5,4,3,8,7,1]
[1,4,5,8,3,6,7,2]=>[2,7,6,3,8,5,4,1]
[2,5,7,1,8,3,6,4]=>[4,6,3,8,1,7,5,2]
[6,2,7,1,8,4,5,3]=>[3,5,4,8,1,7,2,6]
[4,7,1,3,8,5,6,2]=>[2,6,5,8,3,1,7,4]
[1,6,2,8,4,5,7,3]=>[3,7,5,4,8,2,6,1]
[4,1,3,6,8,2,7,5]=>[5,7,2,8,6,3,1,4]
[5,3,4,6,8,2,7,1]=>[1,7,2,8,6,4,3,5]
[4,6,3,8,7,1,2,5]=>[5,2,1,7,8,3,6,4]
[6,4,5,8,7,1,2,3]=>[3,2,1,7,8,5,4,6]
[5,3,4,8,7,1,2,6]=>[6,2,1,7,8,4,3,5]
[3,2,8,7,1,4,6,5]=>[5,6,4,1,7,8,2,3]
[3,1,8,7,2,4,6,5]=>[5,6,4,2,7,8,1,3]
[5,3,7,6,1,2,4,8]=>[8,4,2,1,6,7,3,5]
[1,8,3,7,2,4,5,6]=>[6,5,4,2,7,3,8,1]
[3,8,1,7,2,4,5,6]=>[6,5,4,2,7,1,8,3]
[6,8,2,3,5,1,4,7]=>[7,4,1,5,3,2,8,6]
[4,7,8,2,6,1,3,5]=>[5,3,1,6,2,8,7,4]
[6,2,8,7,1,4,5,3]=>[3,5,4,1,7,8,2,6]
[3,8,7,1,4,5,6,2]=>[2,6,5,4,1,7,8,3]
[2,8,6,1,3,4,5,7]=>[7,5,4,3,1,6,8,2]
[2,7,6,1,3,4,5,8]=>[8,5,4,3,1,6,7,2]
[1,7,6,2,3,4,5,8]=>[8,5,4,3,2,6,7,1]
[1,8,6,2,3,4,5,7]=>[7,5,4,3,2,6,8,1]
[2,8,7,3,4,5,6,1]=>[1,6,5,4,3,7,8,2]
[3,8,7,2,4,5,6,1]=>[1,6,5,4,2,7,8,3]
[7,8,3,6,2,4,5,1]=>[1,5,4,2,6,3,8,7]
[1,5,8,7,2,3,6,4]=>[4,6,3,2,7,8,5,1]
[8,7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7,8]
[3,6,2,4,7,1,8,5]=>[5,8,1,7,4,2,6,3]
[3,4,7,2,5,1,8,6]=>[6,8,1,5,2,7,4,3]
[2,1,6,4,8,5,3,7]=>[7,3,5,8,4,6,1,2]
[4,1,8,5,3,2,7,6]=>[6,7,2,3,5,8,1,4]
[3,6,2,5,7,1,4,8]=>[8,4,1,7,5,2,6,3]
[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]
[6,1,3,2,8,5,4,7]=>[7,4,5,8,2,3,1,6]
[5,6,1,2,8,4,3,7]=>[7,3,4,8,2,1,6,5]
[1,6,3,8,7,4,2,5]=>[5,2,4,7,8,3,6,1]
[4,3,8,1,2,6,7,5]=>[5,7,6,2,1,8,3,4]
[3,6,8,7,1,2,5,4]=>[4,5,2,1,7,8,6,3]
[6,2,8,5,4,7,1,3]=>[3,1,7,4,5,8,2,6]
[6,5,7,2,4,8,1,3]=>[3,1,8,4,2,7,5,6]
[3,4,1,6,5,8,7,2]=>[2,7,8,5,6,1,4,3]
[3,5,1,2,4,8,7,6]=>[6,7,8,4,2,1,5,3]
[3,7,5,2,1,4,6,8]=>[8,6,4,1,2,5,7,3]
[3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]
[5,2,8,4,7,3,1,6]=>[6,1,3,7,4,8,2,5]
[5,2,7,4,1,3,6,8]=>[8,6,3,1,4,7,2,5]
[4,3,5,1,2,8,7,6]=>[6,7,8,2,1,5,3,4]
[3,1,4,6,2,8,7,5]=>[5,7,8,2,6,4,1,3]
[1,4,6,5,2,8,7,3]=>[3,7,8,2,5,6,4,1]
[3,4,5,6,1,8,7,2]=>[2,7,8,1,6,5,4,3]
[3,4,5,8,7,2,1,6]=>[6,1,2,7,8,5,4,3]
[1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]
[8,4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4,8]
[8,1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1,8]
[1,8,5,7,3,4,6,2]=>[2,6,4,3,7,5,8,1]
[6,3,5,1,7,4,2,8]=>[8,2,4,7,1,5,3,6]
[6,1,4,8,7,3,2,5]=>[5,2,3,7,8,4,1,6]
[6,4,8,5,7,1,2,3]=>[3,2,1,7,5,8,4,6]
[5,4,8,1,6,3,2,7]=>[7,2,3,6,1,8,4,5]
[1,4,8,6,3,7,2,5]=>[5,2,7,3,6,8,4,1]
[5,4,7,6,3,8,1,2]=>[2,1,8,3,6,7,4,5]
[4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]
[4,1,3,5,8,6,2,7]=>[7,2,6,8,5,3,1,4]
[5,7,4,3,8,1,2,6]=>[6,2,1,8,3,4,7,5]
[1,4,8,3,7,6,5,2]=>[2,5,6,7,3,8,4,1]
[4,3,8,2,1,6,5,7]=>[7,5,6,1,2,8,3,4]
[3,8,4,2,7,1,5,6]=>[6,5,1,7,2,4,8,3]
[3,1,2,5,7,6,4,8]=>[8,4,6,7,5,2,1,3]
[1,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,1]
[3,8,1,6,7,5,4,2]=>[2,4,5,7,6,1,8,3]
[3,7,2,6,8,5,1,4]=>[4,1,5,8,6,2,7,3]
[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]
[8,2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2,8]
[8,1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1,8]
[8,2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2,8]
[1,7,8,5,4,3,6,2]=>[2,6,3,4,5,8,7,1]
[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]
[7,8,5,4,3,1,6,2]=>[2,6,1,3,4,5,8,7]
[7,1,6,3,4,2,5,8]=>[8,5,2,4,3,6,1,7]
[6,8,7,1,4,2,5,3]=>[3,5,2,4,1,7,8,6]
[3,6,1,4,2,7,5,8]=>[8,5,7,2,4,1,6,3]
[3,4,1,8,5,7,6,2]=>[2,6,7,5,8,1,4,3]
[3,6,5,1,2,8,4,7]=>[7,4,8,2,1,5,6,3]
[3,8,5,6,7,2,1,4]=>[4,1,2,7,6,5,8,3]
[8,1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1,8]
[8,5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5,8]
[8,6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6,8]
[1,6,4,5,7,2,3,8]=>[8,3,2,7,5,4,6,1]
[8,3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3,8]
[1,8,6,5,7,3,4,2]=>[2,4,3,7,5,6,8,1]
[1,7,5,3,6,8,4,2]=>[2,4,8,6,3,5,7,1]
[7,4,1,6,5,8,3,2]=>[2,3,8,5,6,1,4,7]
[4,1,5,8,7,6,3,2]=>[2,3,6,7,8,5,1,4]
[1,2,5,8,6,7,3,4]=>[4,3,7,6,8,5,2,1]
[4,2,1,5,8,7,3,6]=>[6,3,7,8,5,1,2,4]
[5,2,4,6,1,7,3,8]=>[8,3,7,1,6,4,2,5]
[1,5,3,6,8,7,4,2]=>[2,4,7,8,6,3,5,1]
[3,5,4,6,1,8,2,7]=>[7,2,8,1,6,4,5,3]
[3,1,5,7,6,8,2,4]=>[4,2,8,6,7,5,1,3]
[1,4,5,6,8,7,2,3]=>[3,2,7,8,6,5,4,1]
[1,4,6,3,7,2,8,5]=>[5,8,2,7,3,6,4,1]
[1,7,3,6,5,2,8,4]=>[4,8,2,5,6,3,7,1]
[8,6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6,8]
[3,7,2,6,5,4,1,8]=>[8,1,4,5,6,2,7,3]
[7,6,2,5,4,3,1,8]=>[8,1,3,4,5,2,6,7]
[4,7,5,2,6,3,1,8]=>[8,1,3,6,2,5,7,4]
[3,2,6,4,7,5,1,8]=>[8,1,5,7,4,6,2,3]
[6,2,3,7,5,4,1,8]=>[8,1,4,5,7,3,2,6]
[1,3,4,7,6,2,8,5]=>[5,8,2,6,7,4,3,1]
[2,8,3,6,1,7,5,4]=>[4,5,7,1,6,3,8,2]
[8,7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7,8]
[3,8,2,6,5,1,7,4]=>[4,7,1,5,6,2,8,3]
[7,8,2,5,4,1,6,3]=>[3,6,1,4,5,2,8,7]
[4,8,5,2,6,1,7,3]=>[3,7,1,6,2,5,8,4]
[4,5,1,3,7,2,8,6]=>[6,8,2,7,3,1,5,4]
[6,1,3,7,5,2,8,4]=>[4,8,2,5,7,3,1,6]
[7,1,3,6,2,8,5,4]=>[4,5,8,2,6,3,1,7]
[8,1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1,8]
[1,2,4,7,3,8,6,5]=>[5,6,8,3,7,4,2,1]
[7,1,8,2,6,5,4,3]=>[3,4,5,6,2,8,1,7]
[3,1,8,6,2,7,5,4]=>[4,5,7,2,6,8,1,3]
[4,1,7,8,2,6,5,3]=>[3,5,6,2,8,7,1,4]
[5,6,1,8,2,7,4,3]=>[3,4,7,2,8,1,6,5]
[4,2,7,8,1,6,5,3]=>[3,5,6,1,8,7,2,4]
[3,2,8,6,1,7,5,4]=>[4,5,7,1,6,8,2,3]
[7,2,8,1,6,5,4,3]=>[3,4,5,6,1,8,2,7]
[1,8,7,2,6,5,4,3]=>[3,4,5,6,2,7,8,1]
[2,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,2]
[3,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,3]
[4,8,7,5,1,6,3,2]=>[2,3,6,1,5,7,8,4]
[6,7,8,5,1,4,3,2]=>[2,3,4,1,5,8,7,6]
[5,6,3,8,4,1,7,2]=>[2,7,1,4,8,3,6,5]
[7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]
[3,4,8,6,5,1,7,2]=>[2,7,1,5,6,8,4,3]
[8,3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3,8]
[1,4,8,6,2,7,5,3]=>[3,5,7,2,6,8,4,1]
[8,4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4,8]
[5,6,4,7,8,1,3,2]=>[2,3,1,8,7,4,6,5]
[3,4,6,5,1,2,8,7]=>[7,8,2,1,5,6,4,3]
[7,3,5,1,2,8,6,4]=>[4,6,8,2,1,5,3,7]
[1,4,6,2,3,8,7,5]=>[5,7,8,3,2,6,4,1]
[1,3,2,7,4,8,6,5]=>[5,6,8,4,7,2,3,1]
[7,2,1,6,3,8,5,4]=>[4,5,8,3,6,1,2,7]
[2,3,1,7,6,4,8,5]=>[5,8,4,6,7,1,3,2]
[4,5,2,1,7,3,8,6]=>[6,8,3,7,1,2,5,4]
[5,6,7,1,2,8,4,3]=>[3,4,8,2,1,7,6,5]
[4,7,5,1,2,8,6,3]=>[3,6,8,2,1,5,7,4]
[3,7,1,6,2,8,5,4]=>[4,5,8,2,6,1,7,3]
[7,6,1,2,8,5,4,3]=>[3,4,5,8,2,1,6,7]
[2,7,1,3,8,6,5,4]=>[4,5,6,8,3,1,7,2]
[8,6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6,8]
[1,7,2,3,8,6,5,4]=>[4,5,6,8,3,2,7,1]
[8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8]
[7,8,1,2,6,5,4,3]=>[3,4,5,6,2,1,8,7]
[3,8,1,6,2,7,5,4]=>[4,5,7,2,6,1,8,3]
[4,8,5,1,2,7,6,3]=>[3,6,7,2,1,5,8,4]
[5,6,8,1,2,7,4,3]=>[3,4,7,2,1,8,6,5]
[2,1,3,7,4,8,6,5]=>[5,6,8,4,7,3,1,2]
[4,2,7,3,6,8,1,5]=>[5,1,8,6,3,7,2,4]
[5,3,6,4,2,8,1,7]=>[7,1,8,2,4,6,3,5]
[4,1,5,3,8,2,7,6]=>[6,7,2,8,3,5,1,4]
[5,2,6,4,7,3,1,8]=>[8,1,3,7,4,6,2,5]
[2,6,3,4,7,5,1,8]=>[8,1,5,7,4,3,6,2]
[2,6,3,5,4,8,1,7]=>[7,1,8,4,5,3,6,2]
[2,7,4,3,5,8,1,6]=>[6,1,8,5,3,4,7,2]
[7,3,6,4,2,8,1,5]=>[5,1,8,2,4,6,3,7]
[7,6,4,5,2,8,1,3]=>[3,1,8,2,5,4,6,7]
[5,4,3,1,8,2,7,6]=>[6,7,2,8,1,3,4,5]
[6,5,4,2,7,3,1,8]=>[8,1,3,7,2,4,5,6]
[5,4,1,7,2,6,3,8]=>[8,3,6,2,7,1,4,5]
[5,4,1,8,3,2,6,7]=>[7,6,2,3,8,1,4,5]
[6,5,2,8,3,4,7,1]=>[1,7,4,3,8,2,5,6]
[7,4,2,1,8,3,6,5]=>[5,6,3,8,1,2,4,7]
[6,5,3,4,8,2,7,1]=>[1,7,2,8,4,3,5,6]
[6,1,5,3,8,2,7,4]=>[4,7,2,8,3,5,1,6]
[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]
[5,8,4,2,7,3,1,6]=>[6,1,3,7,2,4,8,5]
[8,2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2,8]
[8,6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6,8]
[8,5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5,8]
[8,3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3,8]
[7,5,2,6,4,3,1,8]=>[8,1,3,4,6,2,5,7]
[7,1,6,2,5,4,3,8]=>[8,3,4,5,2,6,1,7]
[8,1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1,8]
[8,6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6,8]
[8,1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1,8]
[1,7,6,8,3,2,4,5]=>[5,4,2,3,8,6,7,1]
[7,1,5,8,4,2,6,3]=>[3,6,2,4,8,5,1,7]
[7,3,8,4,5,2,6,1]=>[1,6,2,5,4,8,3,7]
[7,2,8,5,3,4,6,1]=>[1,6,4,3,5,8,2,7]
[6,1,8,4,3,2,5,7]=>[7,5,2,3,4,8,1,6]
[6,1,7,4,2,5,3,8]=>[8,3,5,2,4,7,1,6]
[1,2,7,3,4,6,5,8]=>[8,5,6,4,3,7,2,1]
[1,7,8,4,3,5,6,2]=>[2,6,5,3,4,8,7,1]
[1,6,2,8,3,5,7,4]=>[4,7,5,3,8,2,6,1]
[2,6,1,7,3,5,4,8]=>[8,4,5,3,7,1,6,2]
[3,1,5,8,4,2,6,7]=>[7,6,2,4,8,5,1,3]
[4,3,1,6,8,2,7,5]=>[5,7,2,8,6,1,3,4]
[5,7,4,8,3,2,1,6]=>[6,1,2,3,8,4,7,5]
[5,4,8,2,7,3,1,6]=>[6,1,3,7,2,8,4,5]
[5,2,8,7,3,4,1,6]=>[6,1,4,3,7,8,2,5]
[6,4,7,5,3,2,1,8]=>[8,1,2,3,5,7,4,6]
[1,8,3,7,6,2,4,5]=>[5,4,2,6,7,3,8,1]
[5,8,3,2,6,4,1,7]=>[7,1,4,6,2,3,8,5]
[6,8,2,4,7,5,1,3]=>[3,1,5,7,4,2,8,6]
[7,3,8,2,6,4,1,5]=>[5,1,4,6,2,8,3,7]
[4,6,8,2,7,3,1,5]=>[5,1,3,7,2,8,6,4]
[2,6,8,7,3,4,1,5]=>[5,1,4,3,7,8,6,2]
[7,2,8,6,3,5,1,4]=>[4,1,5,3,6,8,2,7]
[6,8,1,7,2,5,4,3]=>[3,4,5,2,7,1,8,6]
[3,8,7,4,5,6,1,2]=>[2,1,6,5,4,7,8,3]
[2,8,6,4,3,5,1,7]=>[7,1,5,3,4,6,8,2]
[2,7,6,3,5,4,1,8]=>[8,1,4,5,3,6,7,2]
[1,7,6,5,2,4,3,8]=>[8,3,4,2,5,6,7,1]
[1,8,6,5,3,2,4,7]=>[7,4,2,3,5,6,8,1]
[3,8,7,4,6,2,5,1]=>[1,5,2,6,4,7,8,3]
[5,8,3,7,6,2,4,1]=>[1,4,2,6,7,3,8,5]
[7,1,8,6,5,2,3,4]=>[4,3,2,5,6,8,1,7]
[8,4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4,8]
[8,7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7,8]
[6,8,3,2,5,4,7,1]=>[1,7,4,5,2,3,8,6]
[6,8,4,5,2,3,7,1]=>[1,7,3,2,5,4,8,6]
[1,5,7,8,4,3,6,2]=>[2,6,3,4,8,7,5,1]
[6,3,8,1,5,4,7,2]=>[2,7,4,5,1,8,3,6]
[6,2,1,8,5,4,7,3]=>[3,7,4,5,8,1,2,6]
[2,6,3,1,7,5,4,8]=>[8,4,5,7,1,3,6,2]
[2,6,5,7,4,1,3,8]=>[8,3,1,4,7,5,6,2]
[2,5,6,8,4,3,7,1]=>[1,7,3,4,8,6,5,2]
[2,4,7,5,8,1,6,3]=>[3,6,1,8,5,7,4,2]
[2,5,4,7,1,8,6,3]=>[3,6,8,1,7,4,5,2]
[5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5]
[4,8,5,7,6,1,3,2]=>[2,3,1,6,7,5,8,4]
[4,8,6,7,5,3,1,2]=>[2,1,3,5,7,6,8,4]
[4,8,7,5,6,2,3,1]=>[1,3,2,6,5,7,8,4]
[6,5,4,8,2,1,7,3]=>[3,7,1,2,8,4,5,6]
[5,8,4,7,2,6,3,1]=>[1,3,6,2,7,4,8,5]
[1,5,7,4,8,2,6,3]=>[3,6,2,8,4,7,5,1]
[1,5,7,3,2,8,6,4]=>[4,6,8,2,3,7,5,1]
[5,8,3,2,7,6,4,1]=>[1,4,6,7,2,3,8,5]
[5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]
[3,5,7,4,2,6,1,8]=>[8,1,6,2,4,7,5,3]
[3,6,4,5,1,2,7,8]=>[8,7,2,1,5,4,6,3]
[4,2,1,6,5,3,7,8]=>[8,7,3,5,6,1,2,4]
[4,2,1,5,7,6,3,8]=>[8,3,6,7,5,1,2,4]
[4,3,5,1,7,6,2,8]=>[8,2,6,7,1,5,3,4]
[3,5,4,7,1,6,2,8]=>[8,2,6,1,7,4,5,3]
[3,4,7,5,6,1,2,8]=>[8,2,1,6,5,7,4,3]
[3,4,5,8,6,7,1,2]=>[2,1,7,6,8,5,4,3]
[3,5,4,6,1,8,7,2]=>[2,7,8,1,6,4,5,3]
[4,3,5,1,6,8,7,2]=>[2,7,8,6,1,5,3,4]
[4,2,1,5,6,8,7,3]=>[3,7,8,6,5,1,2,4]
[2,1,7,3,8,4,6,5]=>[5,6,4,8,3,7,1,2]
[4,1,8,2,7,3,6,5]=>[5,6,3,7,2,8,1,4]
[4,1,7,2,8,3,6,5]=>[5,6,3,8,2,7,1,4]
[7,1,3,2,8,4,6,5]=>[5,6,4,8,2,3,1,7]
[7,1,8,2,4,3,6,5]=>[5,6,3,4,2,8,1,7]
[8,1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1,8]
[7,1,5,2,8,3,6,4]=>[4,6,3,8,2,5,1,7]
[5,1,7,2,8,3,6,4]=>[4,6,3,8,2,7,1,5]
[5,1,8,2,7,3,6,4]=>[4,6,3,7,2,8,1,5]
[5,1,8,2,4,3,7,6]=>[6,7,3,4,2,8,1,5]
[8,1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1,8]
[6,1,8,2,4,3,7,5]=>[5,7,3,4,2,8,1,6]
[6,1,8,2,5,3,7,4]=>[4,7,3,5,2,8,1,6]
[8,1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1,8]
[8,1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1,8]
[6,1,8,2,7,3,5,4]=>[4,5,3,7,2,8,1,6]
[6,1,7,2,8,3,5,4]=>[4,5,3,8,2,7,1,6]
[6,1,7,2,5,3,8,4]=>[4,8,3,5,2,7,1,6]
[6,1,7,2,4,3,8,5]=>[5,8,3,4,2,7,1,6]
[5,1,6,2,4,3,8,7]=>[7,8,3,4,2,6,1,5]
[7,1,5,2,4,3,8,6]=>[6,8,3,4,2,5,1,7]
[7,1,6,2,4,3,8,5]=>[5,8,3,4,2,6,1,7]
[7,1,6,2,5,3,8,4]=>[4,8,3,5,2,6,1,7]
[7,1,6,2,8,3,5,4]=>[4,5,3,8,2,6,1,7]
[7,1,8,2,6,3,5,4]=>[4,5,3,6,2,8,1,7]
[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]
[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]
[1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]
[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]
[7,4,8,1,5,2,3,6]=>[6,3,2,5,1,8,4,7]
[4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]
[7,5,8,3,2,4,1,6]=>[6,1,4,2,3,8,5,7]
[1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]
[1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]
[1,8,5,4,7,2,6,3]=>[3,6,2,7,4,5,8,1]
[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]
[1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]
[7,4,8,2,1,3,5,6]=>[6,5,3,1,2,8,4,7]
[4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]
[7,5,4,8,2,3,6,1]=>[1,6,3,2,8,4,5,7]
[6,4,8,2,1,3,7,5]=>[5,7,3,1,2,8,4,6]
[7,3,8,1,5,6,2,4]=>[4,2,6,5,1,8,3,7]
[3,1,7,2,6,8,4,5]=>[5,4,8,6,2,7,1,3]
[5,1,7,4,2,6,8,3]=>[3,8,6,2,4,7,1,5]
[4,1,6,3,2,5,8,7]=>[7,8,5,2,3,6,1,4]
[5,4,3,7,1,2,8,6]=>[6,8,2,1,7,3,4,5]
[4,3,1,6,2,5,7,8]=>[8,7,5,2,6,1,3,4]
[6,5,4,3,7,1,8,2]=>[2,8,1,7,3,4,5,6]
[5,4,2,7,1,6,8,3]=>[3,8,6,1,7,2,4,5]
[6,5,1,7,3,8,2,4]=>[4,2,8,3,7,1,5,6]
[6,3,2,8,5,7,1,4]=>[4,1,7,5,8,2,3,6]
[6,5,4,2,8,3,7,1]=>[1,7,3,8,2,4,5,6]
[6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]
[6,5,4,3,8,7,1,2]=>[2,1,7,8,3,4,5,6]
[7,5,4,8,6,1,3,2]=>[2,3,1,6,8,4,5,7]
[7,6,3,8,5,4,1,2]=>[2,1,4,5,8,3,6,7]
[6,3,8,1,7,5,2,4]=>[4,2,5,7,1,8,3,6]
[6,5,8,3,1,7,4,2]=>[2,4,7,1,3,8,5,6]
[5,4,8,2,1,7,3,6]=>[6,3,7,1,2,8,4,5]
[5,4,3,8,1,6,2,7]=>[7,2,6,1,8,3,4,5]
[5,4,3,7,1,6,2,8]=>[8,2,6,1,7,3,4,5]
[6,4,2,8,5,1,3,7]=>[7,3,1,5,8,2,4,6]
[7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]
[7,2,8,6,3,1,4,5]=>[5,4,1,3,6,8,2,7]
[7,2,8,6,1,5,3,4]=>[4,3,5,1,6,8,2,7]
[2,1,7,8,3,6,4,5]=>[5,4,6,3,8,7,1,2]
[6,4,1,7,8,2,3,5]=>[5,3,2,8,7,1,4,6]
[4,2,1,6,7,3,5,8]=>[8,5,3,7,6,1,2,4]
[4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]
[5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]
[4,1,5,3,2,8,6,7]=>[7,6,8,2,3,5,1,4]
[3,1,6,2,8,7,4,5]=>[5,4,7,8,2,6,1,3]
[6,3,1,7,8,5,2,4]=>[4,2,5,8,7,1,3,6]
[5,4,1,7,8,2,6,3]=>[3,6,2,8,7,1,4,5]
[5,4,2,6,1,8,7,3]=>[3,7,8,1,6,2,4,5]
[6,5,4,1,7,8,3,2]=>[2,3,8,7,1,4,5,6]
[5,4,3,1,6,7,2,8]=>[8,2,7,6,1,3,4,5]
[6,5,4,2,7,8,3,1]=>[1,3,8,7,2,4,5,6]
[5,4,2,6,3,8,7,1]=>[1,7,8,3,6,2,4,5]
[4,3,1,5,2,6,8,7]=>[7,8,6,2,5,1,3,4]
[5,4,2,1,6,7,8,3]=>[3,8,7,6,1,2,4,5]
[5,4,3,1,6,7,8,2]=>[2,8,7,6,1,3,4,5]
[6,3,8,1,2,5,7,4]=>[4,7,5,2,1,8,3,6]
[3,6,7,1,2,5,8,4]=>[4,8,5,2,1,7,6,3]
[7,8,3,1,2,5,6,4]=>[4,6,5,2,1,3,8,7]
[7,8,1,3,2,4,6,5]=>[5,6,4,2,3,1,8,7]
[7,8,2,1,3,5,4,6]=>[6,4,5,3,1,2,8,7]
[5,2,3,7,1,8,6,4]=>[4,6,8,1,7,3,2,5]
[2,5,3,6,1,8,7,4]=>[4,7,8,1,6,3,5,2]
[2,6,7,3,1,8,4,5]=>[5,4,8,1,3,7,6,2]
[2,6,7,1,3,5,4,8]=>[8,4,5,3,1,7,6,2]
[6,2,8,3,1,7,4,5]=>[5,4,7,1,3,8,2,6]
[3,2,5,7,1,8,4,6]=>[6,4,8,1,7,5,2,3]
[4,3,1,2,7,8,6,5]=>[5,6,8,7,2,1,3,4]
[5,1,2,7,3,6,4,8]=>[8,4,6,3,7,2,1,5]
[5,1,4,7,8,2,3,6]=>[6,3,2,8,7,4,1,5]
[5,3,4,7,8,6,1,2]=>[2,1,6,8,7,4,3,5]
[3,5,4,6,8,7,1,2]=>[2,1,7,8,6,4,5,3]
[1,5,4,6,8,2,3,7]=>[7,3,2,8,6,4,5,1]
[1,6,7,3,2,4,8,5]=>[5,8,4,2,3,7,6,1]
[1,5,3,6,2,7,8,4]=>[4,8,7,2,6,3,5,1]
[5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]
[5,2,4,7,8,1,6,3]=>[3,6,1,8,7,4,2,5]
[4,2,5,7,6,1,8,3]=>[3,8,1,6,7,5,2,4]
[4,5,2,8,6,1,7,3]=>[3,7,1,6,8,2,5,4]
[5,3,1,8,2,6,7,4]=>[4,7,6,2,8,1,3,5]
[6,1,8,3,2,4,7,5]=>[5,7,4,2,3,8,1,6]
[4,3,5,7,6,8,1,2]=>[2,1,8,6,7,5,3,4]
[4,1,5,7,6,2,3,8]=>[8,3,2,6,7,5,1,4]
[4,5,1,8,6,2,3,7]=>[7,3,2,6,8,1,5,4]
[5,2,1,8,3,6,4,7]=>[7,4,6,3,8,1,2,5]
[3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]
[7,6,5,4,2,1,8,3]=>[3,8,1,2,4,5,6,7]
[7,6,5,4,8,1,3,2]=>[2,3,1,8,4,5,6,7]
[7,6,5,8,2,1,4,3]=>[3,4,1,2,8,5,6,7]
[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]
[7,6,5,4,1,8,3,2]=>[2,3,8,1,4,5,6,7]
[7,6,5,2,8,1,4,3]=>[3,4,1,8,2,5,6,7]
[7,6,5,8,4,1,3,2]=>[2,3,1,4,8,5,6,7]
[7,6,8,5,2,1,4,3]=>[3,4,1,2,5,8,6,7]
[7,8,6,3,2,1,5,4]=>[4,5,1,2,3,6,8,7]
[8,7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7,8]
[7,8,2,4,5,1,3,6]=>[6,3,1,5,4,2,8,7]
[4,6,7,2,5,1,3,8]=>[8,3,1,5,2,7,6,4]
[7,8,1,3,2,4,5,6]=>[6,5,4,2,3,1,8,7]
[7,8,4,1,5,2,3,6]=>[6,3,2,5,1,4,8,7]
[3,6,7,2,1,4,5,8]=>[8,5,4,1,2,7,6,3]
[5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]
[2,5,3,6,1,4,7,8]=>[8,7,4,1,6,3,5,2]
[2,6,7,3,1,4,5,8]=>[8,5,4,1,3,7,6,2]
[4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]
[4,6,7,3,5,8,1,2]=>[2,1,8,5,3,7,6,4]
[6,4,7,1,5,2,3,8]=>[8,3,2,5,1,7,4,6]
[6,2,7,3,1,4,5,8]=>[8,5,4,1,3,7,2,6]
[3,2,5,6,1,4,7,8]=>[8,7,4,1,6,5,2,3]
[3,5,2,6,1,4,7,8]=>[8,7,4,1,6,2,5,3]
[5,1,4,6,7,2,3,8]=>[8,3,2,7,6,4,1,5]
[3,5,4,6,7,8,1,2]=>[2,1,8,7,6,4,5,3]
[1,5,4,6,7,2,3,8]=>[8,3,2,7,6,4,5,1]
[1,6,7,3,2,4,5,8]=>[8,5,4,2,3,7,6,1]
[1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]
[5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]
[5,2,4,6,7,1,3,8]=>[8,3,1,7,6,4,2,5]
[2,5,4,6,7,1,3,8]=>[8,3,1,7,6,4,5,2]
[2,6,7,4,5,1,3,8]=>[8,3,1,5,4,7,6,2]
[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]
[4,2,5,6,7,1,3,8]=>[8,3,1,7,6,5,2,4]
[4,5,2,6,7,1,3,8]=>[8,3,1,7,6,2,5,4]
[5,3,1,6,2,4,7,8]=>[8,7,4,2,6,1,3,5]
[6,1,7,3,2,4,5,8]=>[8,5,4,2,3,7,1,6]
[6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]
[6,3,7,4,5,8,1,2]=>[2,1,8,5,4,7,3,6]
[5,4,1,6,7,2,3,8]=>[8,3,2,7,6,1,4,5]
[5,2,1,6,3,4,7,8]=>[8,7,4,3,6,1,2,5]
[7,3,2,5,4,1,6,8]=>[8,6,1,4,5,2,3,7]
[7,3,5,4,2,1,6,8]=>[8,6,1,2,4,5,3,7]
[7,3,5,2,4,1,6,8]=>[8,6,1,4,2,5,3,7]
[7,6,5,2,1,4,3,8]=>[8,3,4,1,2,5,6,7]
[1,3,6,7,5,2,8,4]=>[4,8,2,5,7,6,3,1]
[7,3,4,1,6,2,5,8]=>[8,5,2,6,1,4,3,7]
[7,3,4,1,6,5,2,8]=>[8,2,5,6,1,4,3,7]
[7,3,4,1,5,6,2,8]=>[8,2,6,5,1,4,3,7]
[7,3,2,5,1,6,4,8]=>[8,4,6,1,5,2,3,7]
[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]
[7,3,4,1,5,2,6,8]=>[8,6,2,5,1,4,3,7]
[1,3,6,7,2,5,8,4]=>[4,8,5,2,7,6,3,1]
[1,7,4,6,2,8,5,3]=>[3,5,8,2,6,4,7,1]
[4,3,1,7,2,6,8,5]=>[5,8,6,2,7,1,3,4]
[5,6,1,4,7,3,8,2]=>[2,8,3,7,4,1,6,5]
[5,3,2,1,7,4,8,6]=>[6,8,4,7,1,2,3,5]
[1,3,4,5,8,7,2,6]=>[6,2,7,8,5,4,3,1]
[6,3,4,5,8,1,7,2]=>[2,7,1,8,5,4,3,6]
[2,4,5,1,6,8,7,3]=>[3,7,8,6,1,5,4,2]
[3,1,2,5,6,8,7,4]=>[4,7,8,6,5,2,1,3]
[4,3,2,5,6,8,1,7]=>[7,1,8,6,5,2,3,4]
[3,7,5,4,6,8,1,2]=>[2,1,8,6,4,5,7,3]
[3,1,4,6,5,8,2,7]=>[7,2,8,5,6,4,1,3]
[2,3,4,5,8,6,1,7]=>[7,1,6,8,5,4,3,2]
[2,3,4,5,8,1,7,6]=>[6,7,1,8,5,4,3,2]
[3,1,4,6,5,8,7,2]=>[2,7,8,5,6,4,1,3]
[3,7,5,4,6,8,2,1]=>[1,2,8,6,4,5,7,3]
[5,6,1,4,7,2,8,3]=>[3,8,2,7,4,1,6,5]
[4,3,1,7,5,6,8,2]=>[2,8,6,5,7,1,3,4]
[4,3,1,7,6,5,8,2]=>[2,8,5,6,7,1,3,4]
[3,1,4,6,7,8,5,2]=>[2,5,8,7,6,4,1,3]
[1,4,5,2,6,8,7,3]=>[3,7,8,6,2,5,4,1]
[3,7,5,2,6,8,1,4]=>[4,1,8,6,2,5,7,3]
[3,7,5,2,6,8,4,1]=>[1,4,8,6,2,5,7,3]
[5,6,1,2,7,4,8,3]=>[3,8,4,7,2,1,6,5]
[6,3,5,2,4,7,8,1]=>[1,8,7,4,2,5,3,6]
[5,3,2,1,4,7,8,6]=>[6,8,7,4,1,2,3,5]
[5,3,1,4,2,7,8,6]=>[6,8,7,2,4,1,3,5]
[5,3,1,2,4,7,8,6]=>[6,8,7,4,2,1,3,5]
[7,1,5,2,6,8,4,3]=>[3,4,8,6,2,5,1,7]
[7,1,5,2,6,8,3,4]=>[4,3,8,6,2,5,1,7]
[1,7,4,6,5,8,3,2]=>[2,3,8,5,6,4,7,1]
[2,7,4,6,1,8,3,5]=>[5,3,8,1,6,4,7,2]
[2,7,4,6,1,8,5,3]=>[3,5,8,1,6,4,7,2]
[2,3,6,7,1,5,8,4]=>[4,8,5,1,7,6,3,2]
[2,3,6,7,5,1,8,4]=>[4,8,1,5,7,6,3,2]
[4,3,2,6,7,1,8,5]=>[5,8,1,7,6,2,3,4]
[7,3,2,5,6,8,1,4]=>[4,1,8,6,5,2,3,7]
[7,1,5,4,6,8,2,3]=>[3,2,8,6,4,5,1,7]
[2,7,4,6,5,8,1,3]=>[3,1,8,5,6,4,7,2]
[7,3,4,5,8,6,1,2]=>[2,1,6,8,5,4,3,7]
[7,3,4,5,8,1,6,2]=>[2,6,1,8,5,4,3,7]
[7,3,4,5,8,1,2,6]=>[6,2,1,8,5,4,3,7]
[1,3,4,5,8,6,2,7]=>[7,2,6,8,5,4,3,1]
[1,3,4,5,8,2,7,6]=>[6,7,2,8,5,4,3,1]
[6,3,4,5,8,2,1,7]=>[7,1,2,8,5,4,3,6]
[6,3,4,5,8,2,7,1]=>[1,7,2,8,5,4,3,6]
[7,3,4,5,8,6,2,1]=>[1,2,6,8,5,4,3,7]
[2,7,4,6,5,8,3,1]=>[1,3,8,5,6,4,7,2]
[7,1,5,4,6,8,3,2]=>[2,3,8,6,4,5,1,7]
[7,3,2,5,6,8,4,1]=>[1,4,8,6,5,2,3,7]
[5,7,4,6,1,8,3,2]=>[2,3,8,1,6,4,7,5]
[6,3,4,5,8,1,2,7]=>[7,2,1,8,5,4,3,6]
[7,3,4,5,8,2,1,6]=>[6,1,2,8,5,4,3,7]
[7,3,4,5,8,2,6,1]=>[1,6,2,8,5,4,3,7]
[4,7,6,1,8,2,5,3]=>[3,5,2,8,1,6,7,4]
[4,8,6,1,7,5,2,3]=>[3,2,5,7,1,6,8,4]
[4,7,8,2,6,1,5,3]=>[3,5,1,6,2,8,7,4]
[7,6,4,2,8,3,5,1]=>[1,5,3,8,2,4,6,7]
[8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]
[8,4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4,8]
[8,4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4,8]
[6,4,7,1,8,3,2,5]=>[5,2,3,8,1,7,4,6]
[7,4,8,3,6,1,5,2]=>[2,5,1,6,3,8,4,7]
[7,8,4,3,6,2,5,1]=>[1,5,2,6,3,4,8,7]
[6,2,1,7,3,5,4,8]=>[8,4,5,3,7,1,2,6]
[2,1,8,6,3,5,4,7]=>[7,4,5,3,6,8,1,2]
[2,1,7,3,5,8,6,4]=>[4,6,8,5,3,7,1,2]
[2,7,3,1,5,4,6,8]=>[8,6,4,5,1,3,7,2]
[2,6,3,1,4,8,5,7]=>[7,5,8,4,1,3,6,2]
[4,2,1,8,3,6,7,5]=>[5,7,6,3,8,1,2,4]
[2,1,8,6,3,5,7,4]=>[4,7,5,3,6,8,1,2]
[6,2,1,7,3,5,8,4]=>[4,8,5,3,7,1,2,6]
[2,7,3,1,4,8,5,6]=>[6,5,8,4,1,3,7,2]
[3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]
[3,2,1,5,7,8,4,6]=>[6,4,8,7,5,1,2,3]
[2,1,7,3,6,8,4,5]=>[5,4,8,6,3,7,1,2]
[2,7,3,1,5,6,8,4]=>[4,8,6,5,1,3,7,2]
[2,4,7,5,1,6,8,3]=>[3,8,6,1,5,7,4,2]
[4,3,7,5,6,1,8,2]=>[2,8,1,6,5,7,3,4]
[4,3,6,8,5,1,7,2]=>[2,7,1,5,8,6,3,4]
[2,6,1,8,3,5,7,4]=>[4,7,5,3,8,1,6,2]
[2,1,6,8,3,7,4,5]=>[5,4,7,3,8,6,1,2]
[2,1,8,3,5,7,4,6]=>[6,4,7,5,3,8,1,2]
[3,2,1,5,6,8,4,7]=>[7,4,8,6,5,1,2,3]
[3,2,1,5,7,4,6,8]=>[8,6,4,7,5,1,2,3]
[2,1,7,3,6,4,5,8]=>[8,5,4,6,3,7,1,2]
[2,1,6,3,5,8,4,7]=>[7,4,8,5,3,6,1,2]
[8,2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2,8]
[3,8,4,7,5,1,6,2]=>[2,6,1,5,7,4,8,3]
[8,4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4,8]
[8,2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2,8]
[2,6,1,8,3,5,4,7]=>[7,4,5,3,8,1,6,2]
[2,7,3,1,5,6,4,8]=>[8,4,6,5,1,3,7,2]
[2,4,7,5,1,6,3,8]=>[8,3,6,1,5,7,4,2]
[8,2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2,8]
[5,8,6,3,1,7,4,2]=>[2,4,7,1,3,6,8,5]
[2,4,7,1,8,5,3,6]=>[6,3,5,8,1,7,4,2]
[2,4,8,5,1,6,3,7]=>[7,3,6,1,5,8,4,2]
[6,2,1,7,3,4,8,5]=>[5,8,4,3,7,1,2,6]
[6,2,1,7,8,3,5,4]=>[4,5,3,8,7,1,2,6]
[2,7,1,8,3,5,6,4]=>[4,6,5,3,8,1,7,2]
[2,1,8,3,6,4,5,7]=>[7,5,4,6,3,8,1,2]
[3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]
[3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]
[3,2,1,6,8,4,5,7]=>[7,5,4,8,6,1,2,3]
[2,1,8,3,7,4,5,6]=>[6,5,4,7,3,8,1,2]
[2,1,8,3,6,7,4,5]=>[5,4,7,6,3,8,1,2]
[2,4,8,5,1,6,7,3]=>[3,7,6,1,5,8,4,2]
[4,3,8,5,6,1,7,2]=>[2,7,1,6,5,8,3,4]
[3,2,1,8,4,5,6,7]=>[7,6,5,4,8,1,2,3]
[1,6,8,3,7,2,4,5]=>[5,4,2,7,3,8,6,1]
[3,8,1,5,7,2,4,6]=>[6,4,2,7,5,1,8,3]
[1,2,6,8,4,7,3,5]=>[5,3,7,4,8,6,2,1]
[6,1,5,8,2,4,7,3]=>[3,7,4,2,8,5,1,6]
[1,2,4,8,3,6,7,5]=>[5,7,6,3,8,4,2,1]
[4,1,2,7,8,3,6,5]=>[5,6,3,8,7,2,1,4]
[3,5,7,4,8,6,1,2]=>[2,1,6,8,4,7,5,3]
[5,3,8,4,7,6,1,2]=>[2,1,6,7,4,8,3,5]
[8,7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7,8]
[5,8,1,2,3,7,6,4]=>[4,6,7,3,2,1,8,5]
[1,2,8,4,3,5,7,6]=>[6,7,5,3,4,8,2,1]
[1,2,5,3,7,6,4,8]=>[8,4,6,7,3,5,2,1]
[6,1,2,8,7,4,5,3]=>[3,5,4,7,8,2,1,6]
[7,1,6,2,8,4,5,3]=>[3,5,4,8,2,6,1,7]
[1,2,6,3,8,5,4,7]=>[7,4,5,8,3,6,2,1]
[1,2,8,5,3,6,4,7]=>[7,4,6,3,5,8,2,1]
[1,2,7,3,8,5,4,6]=>[6,4,5,8,3,7,2,1]
[4,1,2,7,8,6,3,5]=>[5,3,6,8,7,2,1,4]
[1,6,2,8,4,3,5,7]=>[7,5,3,4,8,2,6,1]
[1,6,4,2,7,3,5,8]=>[8,5,3,7,2,4,6,1]
[1,8,6,3,2,4,5,7]=>[7,5,4,2,3,6,8,1]
[1,7,3,2,8,4,5,6]=>[6,5,4,8,2,3,7,1]
[3,1,7,8,6,2,4,5]=>[5,4,2,6,8,7,1,3]
[1,8,7,2,4,5,6,3]=>[3,6,5,4,2,7,8,1]
[1,8,7,3,5,6,2,4]=>[4,2,6,5,3,7,8,1]
[1,3,2,8,7,4,5,6]=>[6,5,4,7,8,2,3,1]
[1,8,3,2,6,4,5,7]=>[7,5,4,6,2,3,8,1]
[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]
[1,2,8,4,3,7,5,6]=>[6,5,7,3,4,8,2,1]
[8,5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5,8]
[5,3,8,7,4,6,1,2]=>[2,1,6,4,7,8,3,5]
[3,8,6,4,7,5,1,2]=>[2,1,5,7,4,6,8,3]
[6,1,8,2,7,4,5,3]=>[3,5,4,7,2,8,1,6]
[1,2,5,3,8,6,4,7]=>[7,4,6,8,3,5,2,1]
[1,2,7,5,3,6,4,8]=>[8,4,6,3,5,7,2,1]
[1,2,6,3,7,5,4,8]=>[8,4,5,7,3,6,2,1]
[1,2,3,7,5,4,8,6]=>[6,8,4,5,7,3,2,1]
[3,7,4,8,6,5,1,2]=>[2,1,5,6,8,4,7,3]
[1,8,2,7,6,4,5,3]=>[3,5,4,6,7,2,8,1]
[2,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,2]
[7,1,6,3,2,5,4,8]=>[8,4,5,2,3,6,1,7]
[2,7,6,3,1,5,8,4]=>[4,8,5,1,3,6,7,2]
[1,8,4,3,6,5,2,7]=>[7,2,5,6,3,4,8,1]
[1,8,4,6,5,3,2,7]=>[7,2,3,5,6,4,8,1]
[7,4,2,1,6,5,3,8]=>[8,3,5,6,1,2,4,7]
[7,6,1,4,3,5,2,8]=>[8,2,5,3,4,1,6,7]
[7,4,1,3,5,2,6,8]=>[8,6,2,5,3,1,4,7]
[7,3,1,2,4,6,5,8]=>[8,5,6,4,2,1,3,7]
[1,8,6,3,4,5,2,7]=>[7,2,5,4,3,6,8,1]
[1,8,6,7,4,2,5,3]=>[3,5,2,4,7,6,8,1]
[3,6,2,1,4,8,5,7]=>[7,5,8,4,1,2,6,3]
[3,1,7,2,4,6,8,5]=>[5,8,6,4,2,7,1,3]
[3,4,7,1,5,2,8,6]=>[6,8,2,5,1,7,4,3]
[3,6,7,4,1,5,8,2]=>[2,8,5,1,4,7,6,3]
[4,3,2,7,1,5,8,6]=>[6,8,5,1,7,2,3,4]
[3,1,2,8,6,5,4,7]=>[7,4,5,6,8,2,1,3]
[5,4,8,6,1,2,3,7]=>[7,3,2,1,6,8,4,5]
[5,6,8,7,4,3,1,2]=>[2,1,3,4,7,8,6,5]
[1,8,2,7,4,3,6,5]=>[5,6,3,4,7,2,8,1]
[6,5,8,2,3,7,1,4]=>[4,1,7,3,2,8,5,6]
[6,4,8,5,3,1,7,2]=>[2,7,1,3,5,8,4,6]
[5,7,8,6,1,3,2,4]=>[4,2,3,1,6,8,7,5]
[2,4,8,1,6,3,7,5]=>[5,7,3,6,1,8,4,2]
[3,1,2,8,6,4,7,5]=>[5,7,4,6,8,2,1,3]
[5,3,2,6,4,8,1,7]=>[7,1,8,4,6,2,3,5]
[4,1,6,3,5,8,2,7]=>[7,2,8,5,3,6,1,4]
[2,4,5,3,8,6,1,7]=>[7,1,6,8,3,5,4,2]
[1,8,5,3,2,7,6,4]=>[4,6,7,2,3,5,8,1]
[1,8,4,5,2,6,7,3]=>[3,7,6,2,5,4,8,1]
[4,1,2,7,6,5,8,3]=>[3,8,5,6,7,2,1,4]
[2,4,1,6,7,8,5,3]=>[3,5,8,7,6,1,4,2]
[1,8,4,3,6,2,7,5]=>[5,7,2,6,3,4,8,1]
[5,6,7,3,2,8,1,4]=>[4,1,8,2,3,7,6,5]
[2,5,7,3,6,8,4,1]=>[1,4,8,6,3,7,5,2]
[5,3,2,1,4,8,6,7]=>[7,6,8,4,1,2,3,5]
[5,3,1,4,2,8,6,7]=>[7,6,8,2,4,1,3,5]
[7,6,1,3,8,5,4,2]=>[2,4,5,8,3,1,6,7]
[3,4,7,8,1,2,6,5]=>[5,6,2,1,8,7,4,3]
[3,6,7,8,1,4,5,2]=>[2,5,4,1,8,7,6,3]
[3,6,2,8,1,5,4,7]=>[7,4,5,1,8,2,6,3]
[2,3,6,8,5,1,4,7]=>[7,4,1,5,8,6,3,2]
[3,1,6,4,8,2,5,7]=>[7,5,2,8,4,6,1,3]
[7,3,2,6,8,5,1,4]=>[4,1,5,8,6,2,3,7]
[7,3,5,8,4,6,1,2]=>[2,1,6,4,8,5,3,7]
[7,5,2,8,4,1,6,3]=>[3,6,1,4,8,2,5,7]
[7,4,5,8,2,1,3,6]=>[6,3,1,2,8,5,4,7]
[1,8,5,2,4,6,3,7]=>[7,3,6,4,2,5,8,1]
[1,8,4,2,3,5,7,6]=>[6,7,5,3,2,4,8,1]
[6,4,2,8,3,5,1,7]=>[7,1,5,3,8,2,4,6]
[6,3,4,8,2,5,7,1]=>[1,7,5,2,8,4,3,6]
[7,5,4,8,3,6,2,1]=>[1,2,6,3,8,4,5,7]
[2,7,4,8,5,3,6,1]=>[1,6,3,5,8,4,7,2]
[7,1,5,4,8,3,6,2]=>[2,6,3,8,4,5,1,7]
[7,3,2,5,8,4,6,1]=>[1,6,4,8,5,2,3,7]
[8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]
[7,4,6,3,8,5,1,2]=>[2,1,5,8,3,6,4,7]
[2,5,6,8,3,4,1,7]=>[7,1,4,3,8,6,5,2]
[8,4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4,8]
[8,5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5,8]
[2,5,6,8,4,3,1,7]=>[7,1,3,4,8,6,5,2]
[2,5,7,8,4,1,3,6]=>[6,3,1,4,8,7,5,2]
[6,5,7,8,4,1,3,2]=>[2,3,1,4,8,7,5,6]
[7,5,6,8,2,4,1,3]=>[3,1,4,2,8,6,5,7]
[7,4,6,2,8,5,1,3]=>[3,1,5,8,2,6,4,7]
[4,3,2,6,8,5,1,7]=>[7,1,5,8,6,2,3,4]
[3,5,6,8,2,4,1,7]=>[7,1,4,2,8,6,5,3]
[3,5,6,8,4,2,1,7]=>[7,1,2,4,8,6,5,3]
[2,6,7,8,1,4,5,3]=>[3,5,4,1,8,7,6,2]
[3,6,7,8,1,4,2,5]=>[5,2,4,1,8,7,6,3]
[3,5,7,8,2,1,4,6]=>[6,4,1,2,8,7,5,3]
[2,6,7,8,1,4,3,5]=>[5,3,4,1,8,7,6,2]
[6,5,7,8,3,1,4,2]=>[2,4,1,3,8,7,5,6]
[2,5,7,8,3,1,4,6]=>[6,4,1,3,8,7,5,2]
[2,4,7,3,8,1,5,6]=>[6,5,1,8,3,7,4,2]
[6,4,7,3,8,1,5,2]=>[2,5,1,8,3,7,4,6]
[6,4,7,3,8,1,2,5]=>[5,2,1,8,3,7,4,6]
[7,4,6,3,8,2,1,5]=>[5,1,2,8,3,6,4,7]
[6,3,2,5,4,8,1,7]=>[7,1,8,4,5,2,3,6]
[6,4,5,2,3,8,1,7]=>[7,1,8,3,2,5,4,6]
[6,4,5,3,2,8,1,7]=>[7,1,8,2,3,5,4,6]
[5,4,6,3,8,2,1,7]=>[7,1,2,8,3,6,4,5]
[5,4,7,3,8,1,6,2]=>[2,6,1,8,3,7,4,5]
[2,5,7,8,3,1,6,4]=>[4,6,1,3,8,7,5,2]
[4,5,7,8,3,1,2,6]=>[6,2,1,3,8,7,5,4]
[4,5,6,8,2,3,1,7]=>[7,1,3,2,8,6,5,4]
[5,4,6,2,8,3,1,7]=>[7,1,3,8,2,6,4,5]
[5,3,2,6,8,4,1,7]=>[7,1,4,8,6,2,3,5]
[5,4,7,2,8,1,3,6]=>[6,3,1,8,2,7,4,5]
[4,5,7,8,2,1,3,6]=>[6,3,1,2,8,7,5,4]
[4,6,7,8,1,3,2,5]=>[5,2,3,1,8,7,6,4]
[4,6,7,8,1,3,5,2]=>[2,5,3,1,8,7,6,4]
[2,6,7,8,1,3,5,4]=>[4,5,3,1,8,7,6,2]
[2,6,7,8,1,5,3,4]=>[4,3,5,1,8,7,6,2]
[4,6,7,8,1,5,2,3]=>[3,2,5,1,8,7,6,4]
[4,6,7,8,1,2,5,3]=>[3,5,2,1,8,7,6,4]
[4,5,7,8,2,1,6,3]=>[3,6,1,2,8,7,5,4]
[5,4,7,2,8,1,6,3]=>[3,6,1,8,2,7,4,5]
[5,3,2,7,8,1,6,4]=>[4,6,1,8,7,2,3,5]
[4,3,2,7,8,1,6,5]=>[5,6,1,8,7,2,3,4]
[3,5,7,8,2,1,6,4]=>[4,6,1,2,8,7,5,3]
[3,6,7,8,1,2,5,4]=>[4,5,2,1,8,7,6,3]
[3,6,7,8,1,5,2,4]=>[4,2,5,1,8,7,6,3]
[3,6,7,8,1,5,4,2]=>[2,4,5,1,8,7,6,3]
[2,6,7,8,1,5,4,3]=>[3,4,5,1,8,7,6,2]
[4,2,7,1,5,3,8,6]=>[6,8,3,5,1,7,2,4]
[4,2,8,6,1,5,3,7]=>[7,3,5,1,6,8,2,4]
[3,2,6,7,5,1,4,8]=>[8,4,1,5,7,6,2,3]
[2,7,1,3,5,4,8,6]=>[6,8,4,5,3,1,7,2]
[4,7,2,1,5,8,6,3]=>[3,6,8,5,1,2,7,4]
[7,2,1,3,5,8,6,4]=>[4,6,8,5,3,1,2,7]
[2,3,6,4,7,1,5,8]=>[8,5,1,7,4,6,3,2]
[1,3,4,8,2,7,5,6]=>[6,5,7,2,8,4,3,1]
[3,1,4,8,2,6,7,5]=>[5,7,6,2,8,4,1,3]
[8,3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3,8]
[4,8,6,2,1,5,7,3]=>[3,7,5,1,2,6,8,4]
[4,8,3,6,5,1,7,2]=>[2,7,1,5,6,3,8,4]
[6,4,7,3,5,1,8,2]=>[2,8,1,5,3,7,4,6]
[6,4,7,5,1,8,2,3]=>[3,2,8,1,5,7,4,6]
[3,6,1,7,5,8,2,4]=>[4,2,8,5,7,1,6,3]
[7,3,5,1,6,8,2,4]=>[4,2,8,6,1,5,3,7]
[4,7,3,5,6,1,8,2]=>[2,8,1,6,5,3,7,4]
[3,4,6,8,5,1,7,2]=>[2,7,1,5,8,6,4,3]
[4,6,8,2,1,5,7,3]=>[3,7,5,1,2,8,6,4]
[6,8,2,1,3,5,7,4]=>[4,7,5,3,1,2,8,6]
[1,8,2,3,5,7,4,6]=>[6,4,7,5,3,2,8,1]
[2,7,3,6,1,4,5,8]=>[8,5,4,1,6,3,7,2]
[2,6,1,3,5,8,4,7]=>[7,4,8,5,3,1,6,2]
[7,3,2,5,6,1,4,8]=>[8,4,1,6,5,2,3,7]
[4,7,5,2,6,1,3,8]=>[8,3,1,6,2,5,7,4]
[4,6,2,8,1,5,3,7]=>[7,3,5,1,8,2,6,4]
[8,4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4,8]
[4,5,6,2,7,1,3,8]=>[8,3,1,7,2,6,5,4]
[8,5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5,8]
[1,6,2,7,4,8,3,5]=>[5,3,8,4,7,2,6,1]
[6,2,1,7,8,5,3,4]=>[4,3,5,8,7,1,2,6]
[6,7,3,8,4,1,5,2]=>[2,5,1,4,8,3,7,6]
[2,7,8,4,1,5,6,3]=>[3,6,5,1,4,8,7,2]
[2,7,1,8,5,6,3,4]=>[4,3,6,5,8,1,7,2]
[8,2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2,8]
[8,2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2,8]
[3,8,4,5,6,1,7,2]=>[2,7,1,6,5,4,8,3]
[4,5,8,3,6,7,1,2]=>[2,1,7,6,3,8,5,4]
[4,5,8,3,7,6,1,2]=>[2,1,6,7,3,8,5,4]
[4,2,8,3,7,1,6,5]=>[5,6,1,7,3,8,2,4]
[7,2,3,4,8,1,6,5]=>[5,6,1,8,4,3,2,7]
[7,2,3,4,8,1,5,6]=>[6,5,1,8,4,3,2,7]
[7,6,3,4,8,5,1,2]=>[2,1,5,8,4,3,6,7]
[7,6,3,5,8,4,1,2]=>[2,1,4,8,5,3,6,7]
[7,6,3,8,4,5,1,2]=>[2,1,5,4,8,3,6,7]
[7,2,3,8,5,1,4,6]=>[6,4,1,5,8,3,2,7]
[2,6,4,8,1,5,7,3]=>[3,7,5,1,8,4,6,2]
[7,2,3,8,4,1,5,6]=>[6,5,1,4,8,3,2,7]
[7,2,3,5,8,1,4,6]=>[6,4,1,8,5,3,2,7]
[7,8,2,3,6,1,4,5]=>[5,4,1,6,3,2,8,7]
[7,8,2,3,6,1,5,4]=>[4,5,1,6,3,2,8,7]
[4,2,6,3,7,1,5,8]=>[8,5,1,7,3,6,2,4]
[7,2,3,5,8,1,6,4]=>[4,6,1,8,5,3,2,7]
[7,2,3,8,4,1,6,5]=>[5,6,1,4,8,3,2,7]
[2,6,4,8,1,3,7,5]=>[5,7,3,1,8,4,6,2]
[3,6,4,8,1,7,5,2]=>[2,5,7,1,8,4,6,3]
[7,6,5,1,2,3,8,4]=>[4,8,3,2,1,5,6,7]
[7,6,5,1,4,2,8,3]=>[3,8,2,4,1,5,6,7]
[2,6,4,5,1,8,7,3]=>[3,7,8,1,5,4,6,2]
[3,5,6,4,1,2,7,8]=>[8,7,2,1,4,6,5,3]
[7,8,5,4,1,2,6,3]=>[3,6,2,1,4,5,8,7]
[3,5,6,4,1,2,8,7]=>[7,8,2,1,4,6,5,3]
[7,6,5,1,4,2,3,8]=>[8,3,2,4,1,5,6,7]
[7,6,5,1,2,4,3,8]=>[8,3,4,2,1,5,6,7]
[7,6,5,1,2,4,8,3]=>[3,8,4,2,1,5,6,7]
[7,6,5,1,3,2,8,4]=>[4,8,2,3,1,5,6,7]
[7,6,5,1,3,2,4,8]=>[8,4,2,3,1,5,6,7]
[7,6,5,1,3,4,2,8]=>[8,2,4,3,1,5,6,7]
[7,2,3,4,5,1,8,6]=>[6,8,1,5,4,3,2,7]
[2,6,4,3,1,5,8,7]=>[7,8,5,1,3,4,6,2]
[2,6,4,3,1,8,5,7]=>[7,5,8,1,3,4,6,2]
[2,6,4,3,1,8,7,5]=>[5,7,8,1,3,4,6,2]
[3,5,8,4,1,2,7,6]=>[6,7,2,1,4,8,5,3]
[3,5,8,4,1,2,6,7]=>[7,6,2,1,4,8,5,3]
[3,5,8,4,1,6,2,7]=>[7,2,6,1,4,8,5,3]
[4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]
[3,5,8,4,1,6,7,2]=>[2,7,6,1,4,8,5,3]
[2,5,8,4,1,7,3,6]=>[6,3,7,1,4,8,5,2]
[3,6,4,2,1,7,8,5]=>[5,8,7,1,2,4,6,3]
[3,6,4,2,1,7,5,8]=>[8,5,7,1,2,4,6,3]
[3,5,6,4,1,8,7,2]=>[2,7,8,1,4,6,5,3]
[2,6,4,5,1,3,7,8]=>[8,7,3,1,5,4,6,2]
[7,6,5,1,4,3,8,2]=>[2,8,3,4,1,5,6,7]
[7,6,5,1,2,8,4,3]=>[3,4,8,2,1,5,6,7]
[7,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,7]
[7,6,5,1,8,2,4,3]=>[3,4,2,8,1,5,6,7]
[7,6,5,1,8,2,3,4]=>[4,3,2,8,1,5,6,7]
[7,6,5,1,8,3,2,4]=>[4,2,3,8,1,5,6,7]
[7,6,5,1,4,8,2,3]=>[3,2,8,4,1,5,6,7]
[3,6,4,5,1,7,2,8]=>[8,2,7,1,5,4,6,3]
[2,5,6,4,1,7,8,3]=>[3,8,7,1,4,6,5,2]
[7,8,5,4,1,6,3,2]=>[2,3,6,1,4,5,8,7]
[2,5,6,4,1,7,3,8]=>[8,3,7,1,4,6,5,2]
[3,6,4,5,1,7,8,2]=>[2,8,7,1,5,4,6,3]
[7,6,5,1,4,8,3,2]=>[2,3,8,4,1,5,6,7]
[7,6,5,1,8,3,4,2]=>[2,4,3,8,1,5,6,7]
[7,6,5,1,8,4,2,3]=>[3,2,4,8,1,5,6,7]
[4,1,7,6,2,8,5,3]=>[3,5,8,2,6,7,1,4]
[7,8,6,2,1,3,5,4]=>[4,5,3,1,2,6,8,7]
[3,7,6,1,2,8,4,5]=>[5,4,8,2,1,6,7,3]
[2,6,5,3,1,4,8,7]=>[7,8,4,1,3,5,6,2]
[4,6,1,5,3,2,8,7]=>[7,8,2,3,5,1,6,4]
[3,6,1,4,2,5,8,7]=>[7,8,5,2,4,1,6,3]
[2,6,4,5,7,8,1,3]=>[3,1,8,7,5,4,6,2]
[8,7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7,8]
[7,2,5,6,8,1,3,4]=>[4,3,1,8,6,5,2,7]
[6,1,3,4,2,8,7,5]=>[5,7,8,2,4,3,1,6]
[2,4,5,6,1,8,7,3]=>[3,7,8,1,6,5,4,2]
[8,4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4,8]
[2,8,3,4,7,5,1,6]=>[6,1,5,7,4,3,8,2]
[6,8,2,7,4,3,5,1]=>[1,5,3,4,7,2,8,6]
[4,7,8,5,1,6,3,2]=>[2,3,6,1,5,8,7,4]
[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]
[4,8,6,1,7,3,2,5]=>[5,2,3,7,1,6,8,4]
[8,7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7,8]
[3,8,5,1,7,2,4,6]=>[6,4,2,7,1,5,8,3]
[6,8,7,1,3,2,4,5]=>[5,4,2,3,1,7,8,6]
[2,5,1,8,7,4,6,3]=>[3,6,4,7,8,1,5,2]
[3,7,1,8,4,5,6,2]=>[2,6,5,4,8,1,7,3]
[6,2,3,8,4,7,5,1]=>[1,5,7,4,8,3,2,6]
[8,6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6,8]
[8,3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3,8]
[7,1,3,8,6,4,5,2]=>[2,5,4,6,8,3,1,7]
[2,3,5,8,6,7,4,1]=>[1,4,7,6,8,5,3,2]
[7,4,2,1,8,6,5,3]=>[3,5,6,8,1,2,4,7]
[4,6,7,2,5,8,3,1]=>[1,3,8,5,2,7,6,4]
[7,6,2,5,3,8,1,4]=>[4,1,8,3,5,2,6,7]
[6,2,1,3,4,8,7,5]=>[5,7,8,4,3,1,2,6]
[6,5,4,2,8,3,1,7]=>[7,1,3,8,2,4,5,6]
[5,4,3,1,8,7,2,6]=>[6,2,7,8,1,3,4,5]
[6,1,4,3,8,5,2,7]=>[7,2,5,8,3,4,1,6]
[4,7,6,2,8,1,5,3]=>[3,5,1,8,2,6,7,4]
[6,4,5,1,7,8,3,2]=>[2,3,8,7,1,5,4,6]
[4,2,3,1,7,8,6,5]=>[5,6,8,7,1,3,2,4]
[3,4,2,1,8,6,7,5]=>[5,7,6,8,1,2,4,3]
[2,7,6,8,1,5,3,4]=>[4,3,5,1,8,6,7,2]
[6,4,5,8,3,1,2,7]=>[7,2,1,3,8,5,4,6]
[8,1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1,8]
[3,6,8,1,5,2,4,7]=>[7,4,2,5,1,8,6,3]
[3,2,8,7,4,5,1,6]=>[6,1,5,4,7,8,2,3]
[6,3,8,5,7,4,2,1]=>[1,2,4,7,5,8,3,6]
[7,4,6,8,5,1,2,3]=>[3,2,1,5,8,6,4,7]
[2,1,4,8,7,5,3,6]=>[6,3,5,7,8,4,1,2]
[2,1,6,8,3,7,5,4]=>[4,5,7,3,8,6,1,2]
[3,6,8,2,4,1,5,7]=>[7,5,1,4,2,8,6,3]
[6,2,8,1,7,5,4,3]=>[3,4,5,7,1,8,2,6]
[2,6,5,4,8,1,3,7]=>[7,3,1,8,4,5,6,2]
[6,5,3,4,8,1,7,2]=>[2,7,1,8,4,3,5,6]
[8,4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4,8]
[4,2,8,1,5,3,6,7]=>[7,6,3,5,1,8,2,4]
[5,1,8,2,6,4,3,7]=>[7,3,4,6,2,8,1,5]
[7,4,8,6,2,1,3,5]=>[5,3,1,2,6,8,4,7]
[4,6,2,8,3,7,5,1]=>[1,5,7,3,8,2,6,4]
[2,1,5,8,3,6,4,7]=>[7,4,6,3,8,5,1,2]
[2,8,5,3,6,7,1,4]=>[4,1,7,6,3,5,8,2]
[7,8,5,6,4,1,3,2]=>[2,3,1,4,6,5,8,7]
[5,8,4,1,6,3,7,2]=>[2,7,3,6,1,4,8,5]
[4,8,1,3,5,7,6,2]=>[2,6,7,5,3,1,8,4]
[3,8,1,4,5,6,2,7]=>[7,2,6,5,4,1,8,3]
[7,6,8,3,5,1,4,2]=>[2,4,1,5,3,8,6,7]
[7,8,6,3,5,1,4,2]=>[2,4,1,5,3,6,8,7]
[5,3,8,7,6,1,4,2]=>[2,4,1,6,7,8,3,5]
[6,5,8,4,7,1,3,2]=>[2,3,1,7,4,8,5,6]
[6,7,4,2,5,3,1,8]=>[8,1,3,5,2,4,7,6]
[7,6,4,8,3,1,5,2]=>[2,5,1,3,8,4,6,7]
[7,4,8,5,6,1,3,2]=>[2,3,1,6,5,8,4,7]
[7,4,2,5,6,3,1,8]=>[8,1,3,6,5,2,4,7]
[4,2,7,5,6,3,1,8]=>[8,1,3,6,5,7,2,4]
[3,4,7,5,6,2,1,8]=>[8,1,2,6,5,7,4,3]
[4,7,3,5,6,2,1,8]=>[8,1,2,6,5,3,7,4]
[3,7,2,5,6,4,1,8]=>[8,1,4,6,5,2,7,3]
[7,8,3,5,6,1,4,2]=>[2,4,1,6,5,3,8,7]
[1,6,8,5,2,7,4,3]=>[3,4,7,2,5,8,6,1]
[6,2,8,5,1,7,4,3]=>[3,4,7,1,5,8,2,6]
[6,7,4,8,2,1,5,3]=>[3,5,1,2,8,4,7,6]
[3,2,7,8,6,1,5,4]=>[4,5,1,6,8,7,2,3]
[6,8,4,1,2,3,7,5]=>[5,7,3,2,1,4,8,6]
[4,1,8,5,6,3,2,7]=>[7,2,3,6,5,8,1,4]
[1,8,2,5,6,4,3,7]=>[7,3,4,6,5,2,8,1]
[6,1,8,5,3,7,4,2]=>[2,4,7,3,5,8,1,6]
[3,8,1,5,2,7,6,4]=>[4,6,7,2,5,1,8,3]
[8,2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2,8]
[1,5,2,4,6,7,8,3]=>[3,8,7,6,4,2,5,1]
[4,1,5,3,6,7,8,2]=>[2,8,7,6,3,5,1,4]
[8,1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1,8]
[7,1,4,6,3,2,8,5]=>[5,8,2,3,6,4,1,7]
[3,2,6,4,1,7,8,5]=>[5,8,7,1,4,6,2,3]
[7,6,4,3,1,2,8,5]=>[5,8,2,1,3,4,6,7]
[8,6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6,8]
[4,5,3,1,6,7,8,2]=>[2,8,7,6,1,3,5,4]
[3,5,2,1,6,7,8,4]=>[4,8,7,6,1,2,5,3]
[5,2,3,1,6,7,8,4]=>[4,8,7,6,1,3,2,5]
[1,5,3,2,6,7,8,4]=>[4,8,7,6,2,3,5,1]
[8,4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4,8]
[7,5,4,6,1,2,8,3]=>[3,8,2,1,6,4,5,7]
[3,2,5,6,1,7,8,4]=>[4,8,7,1,6,5,2,3]
[3,2,8,7,6,1,4,5]=>[5,4,1,6,7,8,2,3]
[6,8,4,7,2,1,3,5]=>[5,3,1,2,7,4,8,6]
[3,8,7,5,6,1,2,4]=>[4,2,1,6,5,7,8,3]
[8,2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2,8]
[4,8,6,5,1,7,3,2]=>[2,3,7,1,5,6,8,4]
[1,7,4,6,2,3,8,5]=>[5,8,3,2,6,4,7,1]
[7,6,4,2,1,5,8,3]=>[3,8,5,1,2,4,6,7]
[5,7,4,6,1,3,8,2]=>[2,8,3,1,6,4,7,5]
[8,6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6,8]
[5,2,4,3,7,1,8,6]=>[6,8,1,7,3,4,2,5]
[3,5,4,2,7,1,8,6]=>[6,8,1,7,2,4,5,3]
[8,6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6,8]
[6,7,4,1,5,3,8,2]=>[2,8,3,5,1,4,7,6]
[7,5,4,1,2,6,8,3]=>[3,8,6,2,1,4,5,7]
[1,7,4,2,3,6,8,5]=>[5,8,6,3,2,4,7,1]
[1,8,2,5,3,7,6,4]=>[4,6,7,3,5,2,8,1]
[6,8,1,5,4,7,3,2]=>[2,3,7,4,5,1,8,6]
[8,2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2,8]
[3,8,1,5,6,4,2,7]=>[7,2,4,6,5,1,8,3]
[6,8,4,1,2,5,3,7]=>[7,3,5,2,1,4,8,6]
[3,2,8,1,6,5,4,7]=>[7,4,5,6,1,8,2,3]
[3,2,6,1,5,7,8,4]=>[4,8,7,5,1,6,2,3]
[7,6,4,1,5,2,8,3]=>[3,8,2,5,1,4,6,7]
[8,6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6,8]
[3,5,1,4,6,7,8,2]=>[2,8,7,6,4,1,5,3]
[5,2,1,4,6,7,8,3]=>[3,8,7,6,4,1,2,5]
[5,4,1,3,6,7,8,2]=>[2,8,7,6,3,1,4,5]
[8,4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4,8]
[7,5,4,1,3,2,8,6]=>[6,8,2,3,1,4,5,7]
[3,2,5,1,4,7,8,6]=>[6,8,7,4,1,5,2,3]
[7,1,4,3,5,2,8,6]=>[6,8,2,5,3,4,1,7]
[8,1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1,8]
[5,1,3,4,6,7,8,2]=>[2,8,7,6,4,3,1,5]
[3,1,8,2,5,7,4,6]=>[6,4,7,5,2,8,1,3]
[8,3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3,8]
[2,8,1,6,4,3,7,5]=>[5,7,3,4,6,1,8,2]
[2,6,1,3,8,7,5,4]=>[4,5,7,8,3,1,6,2]
[2,5,7,1,3,8,6,4]=>[4,6,8,3,1,7,5,2]
[2,6,8,1,5,7,4,3]=>[3,4,7,5,1,8,6,2]
[2,7,1,5,8,4,6,3]=>[3,6,4,8,5,1,7,2]
[2,7,1,6,4,8,3,5]=>[5,3,8,4,6,1,7,2]
[2,7,1,6,5,3,8,4]=>[4,8,3,5,6,1,7,2]
[2,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,2]
[8,3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3,8]
[4,1,8,7,3,2,6,5]=>[5,6,2,3,7,8,1,4]
[4,1,7,2,8,6,5,3]=>[3,5,6,8,2,7,1,4]
[3,7,1,8,6,5,4,2]=>[2,4,5,6,8,1,7,3]
[3,7,6,1,4,2,5,8]=>[8,5,2,4,1,6,7,3]
[3,7,5,1,4,6,8,2]=>[2,8,6,4,1,5,7,3]
[3,6,8,5,1,4,7,2]=>[2,7,4,1,5,8,6,3]
[7,3,5,8,2,1,4,6]=>[6,4,1,2,8,5,3,7]
[7,3,6,2,1,4,5,8]=>[8,5,4,1,2,6,3,7]
[7,3,6,2,1,5,4,8]=>[8,4,5,1,2,6,3,7]
[7,4,2,8,1,6,5,3]=>[3,5,6,1,8,2,4,7]
[8,7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7,8]
[7,5,2,6,3,1,4,8]=>[8,4,1,3,6,2,5,7]
[7,4,6,2,1,8,3,5]=>[5,3,8,1,2,6,4,7]
[6,8,4,5,2,1,7,3]=>[3,7,1,2,5,4,8,6]
[4,6,8,5,1,7,3,2]=>[2,3,7,1,5,8,6,4]
[4,7,5,1,3,8,6,2]=>[2,6,8,3,1,5,7,4]
[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]
[5,1,7,6,3,8,2,4]=>[4,2,8,3,6,7,1,5]
[5,1,7,6,4,2,8,3]=>[3,8,2,4,6,7,1,5]
[5,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,5]
[8,5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5,8]
[8,5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5,8]
[5,1,8,6,3,2,7,4]=>[4,7,2,3,6,8,1,5]
[3,6,1,7,4,8,2,5]=>[5,2,8,4,7,1,6,3]
[4,1,8,6,3,7,2,5]=>[5,2,7,3,6,8,1,4]
[8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]
[3,4,6,8,5,7,1,2]=>[2,1,7,5,8,6,4,3]
[5,4,8,2,7,3,6,1]=>[1,6,3,7,2,8,4,5]
[5,4,8,7,3,6,1,2]=>[2,1,6,3,7,8,4,5]
[8,5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5,8]
[6,4,3,8,7,1,2,5]=>[5,2,1,7,8,3,4,6]
[6,3,7,2,4,8,1,5]=>[5,1,8,4,2,7,3,6]
[5,6,8,4,2,7,3,1]=>[1,3,7,2,4,8,6,5]
[5,7,4,2,8,1,3,6]=>[6,3,1,8,2,4,7,5]
[6,5,2,7,1,3,8,4]=>[4,8,3,1,7,2,5,6]
[8,6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6,8]
[6,4,7,3,1,8,2,5]=>[5,2,8,1,3,7,4,6]
[5,7,4,3,8,6,1,2]=>[2,1,6,8,3,4,7,5]
[7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]
[7,6,4,8,3,5,2,1]=>[1,2,5,3,8,4,6,7]
[7,6,5,3,8,2,4,1]=>[1,4,2,8,3,5,6,7]
[5,6,3,7,4,2,1,8]=>[8,1,2,4,7,3,6,5]
[7,6,3,8,5,1,4,2]=>[2,4,1,5,8,3,6,7]
[6,4,8,1,3,2,5,7]=>[7,5,2,3,1,8,4,6]
[7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]
[4,2,7,6,5,3,1,8]=>[8,1,3,5,6,7,2,4]
[3,7,2,4,6,5,1,8]=>[8,1,5,6,4,2,7,3]
[8,1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1,8]
[1,6,8,4,2,5,3,7]=>[7,3,5,2,4,8,6,1]
[6,2,8,4,1,5,7,3]=>[3,7,5,1,4,8,2,6]
[6,7,4,8,5,1,2,3]=>[3,2,1,5,8,4,7,6]
[3,2,7,8,5,1,6,4]=>[4,6,1,5,8,7,2,3]
[3,2,8,1,5,4,6,7]=>[7,6,4,5,1,8,2,3]
[6,1,4,8,5,3,7,2]=>[2,7,3,5,8,4,1,6]
[1,4,8,5,2,6,7,3]=>[3,7,6,2,5,8,4,1]
[6,1,8,4,3,7,2,5]=>[5,2,7,3,4,8,1,6]
[3,7,1,4,2,5,8,6]=>[6,8,5,2,4,1,7,3]
[7,2,1,4,3,5,6,8]=>[8,6,5,3,4,1,2,7]
[4,1,5,3,6,8,2,7]=>[7,2,8,6,3,5,1,4]
[6,1,8,5,3,2,7,4]=>[4,7,2,3,5,8,1,6]
[7,1,4,6,3,8,5,2]=>[2,5,8,3,6,4,1,7]
[3,2,6,4,1,8,7,5]=>[5,7,8,1,4,6,2,3]
[7,6,4,3,1,8,2,5]=>[5,2,8,1,3,4,6,7]
[3,5,2,1,8,7,6,4]=>[4,6,7,8,1,2,5,3]
[1,5,3,2,8,6,4,7]=>[7,4,6,8,2,3,5,1]
[5,4,2,1,7,8,6,3]=>[3,6,8,7,1,2,4,5]
[8,2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2,8]
[8,6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6,8]
[1,7,3,6,2,8,5,4]=>[4,5,8,2,6,3,7,1]
[7,6,3,2,1,8,5,4]=>[4,5,8,1,2,3,6,7]
[8,6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6,8]
[5,2,3,4,7,1,8,6]=>[6,8,1,7,4,3,2,5]
[8,6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6,8]
[6,7,3,1,5,4,2,8]=>[8,2,4,5,1,3,7,6]
[5,8,3,1,2,4,7,6]=>[6,7,4,2,1,3,8,5]
[8,1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1,8]
[8,4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4,8]
[8,2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2,8]
[3,8,1,5,6,4,7,2]=>[2,7,4,6,5,1,8,3]
[6,8,4,1,2,5,7,3]=>[3,7,5,2,1,4,8,6]
[3,2,8,1,6,5,7,4]=>[4,7,5,6,1,8,2,3]
[7,6,4,1,5,2,3,8]=>[8,3,2,5,1,4,6,7]
[8,6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6,8]
[3,5,1,4,6,7,2,8]=>[8,2,7,6,4,1,5,3]
[5,2,1,4,7,6,3,8]=>[8,3,6,7,4,1,2,5]
[5,8,2,3,1,4,6,7]=>[7,6,4,1,3,2,8,5]
[4,2,1,3,5,8,7,6]=>[6,7,8,5,3,1,2,4]
[5,4,1,3,6,2,8,7]=>[7,8,2,6,3,1,4,5]
[8,5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5,8]
[3,2,5,1,4,6,8,7]=>[7,8,6,4,1,5,2,3]
[8,1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1,8]
[7,1,3,5,4,6,2,8]=>[8,2,6,4,5,3,1,7]
[5,1,3,4,6,2,7,8]=>[8,7,2,6,4,3,1,5]
[4,1,3,2,5,7,6,8]=>[8,6,7,5,2,3,1,4]
[6,8,2,4,5,1,3,7]=>[7,3,1,5,4,2,8,6]
[3,6,7,2,5,1,4,8]=>[8,4,1,5,2,7,6,3]
[4,6,7,3,1,5,2,8]=>[8,2,5,1,3,7,6,4]
[5,8,1,2,4,7,3,6]=>[6,3,7,4,2,1,8,5]
[6,8,1,3,5,2,7,4]=>[4,7,2,5,3,1,8,6]
[6,8,3,1,4,5,7,2]=>[2,7,5,4,1,3,8,6]
[7,5,1,8,2,3,6,4]=>[4,6,3,2,8,1,5,7]
[6,1,8,2,3,4,7,5]=>[5,7,4,3,2,8,1,6]
[5,3,8,4,2,6,7,1]=>[1,7,6,2,4,8,3,5]
[5,1,8,4,6,3,7,2]=>[2,7,3,6,4,8,1,5]
[4,1,8,3,5,7,2,6]=>[6,2,7,5,3,8,1,4]
[3,4,7,2,6,1,8,5]=>[5,8,1,6,2,7,4,3]
[4,5,7,3,2,6,8,1]=>[1,8,6,2,3,7,5,4]
[4,5,7,2,3,6,8,1]=>[1,8,6,3,2,7,5,4]
[2,6,3,4,7,5,8,1]=>[1,8,5,7,4,3,6,2]
[3,6,4,2,7,5,8,1]=>[1,8,5,7,2,4,6,3]
[4,5,2,7,1,6,8,3]=>[3,8,6,1,7,2,5,4]
[3,4,1,6,5,8,2,7]=>[7,2,8,5,6,1,4,3]
[4,1,2,8,5,7,3,6]=>[6,3,7,5,8,2,1,4]
[5,1,4,8,6,2,7,3]=>[3,7,2,6,8,4,1,5]
[7,3,1,4,8,5,6,2]=>[2,6,5,8,4,1,3,7]
[5,6,3,1,7,4,2,8]=>[8,2,4,7,1,3,6,5]
[7,3,4,1,8,5,2,6]=>[6,2,5,8,1,4,3,7]
[6,4,2,8,7,1,5,3]=>[3,5,1,7,8,2,4,6]
[7,2,4,8,1,5,3,6]=>[6,3,5,1,8,4,2,7]
[2,6,3,7,5,1,4,8]=>[8,4,1,5,7,3,6,2]
[7,1,3,8,5,2,4,6]=>[6,4,2,5,8,3,1,7]
[1,5,3,7,8,2,4,6]=>[6,4,2,8,7,3,5,1]
[3,2,6,7,1,8,4,5]=>[5,4,8,1,7,6,2,3]
[4,6,3,1,7,8,5,2]=>[2,5,8,7,1,3,6,4]
[5,3,1,6,7,8,4,2]=>[2,4,8,7,6,1,3,5]
[4,1,6,2,7,8,5,3]=>[3,5,8,7,2,6,1,4]
[2,1,3,4,8,7,5,6]=>[6,5,7,8,4,3,1,2]
[4,8,3,7,6,5,1,2]=>[2,1,5,6,7,3,8,4]
[6,3,8,7,5,4,1,2]=>[2,1,4,5,7,8,3,6]
[5,3,8,7,6,4,1,2]=>[2,1,4,6,7,8,3,5]
[2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2]
[5,2,8,7,6,1,4,3]=>[3,4,1,6,7,8,2,5]
[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]
[7,8,2,6,5,1,4,3]=>[3,4,1,5,6,2,8,7]
[6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6]
[3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]
[7,8,2,6,1,5,4,3]=>[3,4,5,1,6,2,8,7]
[6,2,8,7,1,5,4,3]=>[3,4,5,1,7,8,2,6]
[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]
[4,8,2,7,6,1,5,3]=>[3,5,1,6,7,2,8,4]
[3,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,3]
[6,5,8,7,1,4,3,2]=>[2,3,4,1,7,8,5,6]
[4,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,4]
[5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5]
[6,4,8,1,7,5,3,2]=>[2,3,5,7,1,8,4,6]
[7,8,4,1,6,5,3,2]=>[2,3,5,6,1,4,8,7]
[7,8,3,1,6,5,4,2]=>[2,4,5,6,1,3,8,7]
[6,3,8,1,7,5,4,2]=>[2,4,5,7,1,8,3,6]
[5,3,1,8,7,6,4,2]=>[2,4,6,7,8,1,3,5]
[7,8,2,1,6,5,4,3]=>[3,4,5,6,1,2,8,7]
[6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]
[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]
[5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]
[7,5,2,1,8,6,4,3]=>[3,4,6,8,1,2,5,7]
[5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]
[7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]
[6,3,2,1,8,7,5,4]=>[4,5,7,8,1,2,3,6]
[6,1,4,2,3,5,8,7]=>[7,8,5,3,2,4,1,6]
[8,6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6,8]
[6,8,1,4,2,3,5,7]=>[7,5,3,2,4,1,8,6]
[8,1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1,8]
[4,1,8,2,3,6,5,7]=>[7,5,6,3,2,8,1,4]
[8,2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2,8]
[6,2,3,8,1,4,5,7]=>[7,5,4,1,8,3,2,6]
[4,6,2,3,8,1,5,7]=>[7,5,1,8,3,2,6,4]
[4,8,2,3,6,1,5,7]=>[7,5,1,6,3,2,8,4]
[8,2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2,8]
[8,4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4,8]
[6,2,3,8,4,1,5,7]=>[7,5,1,4,8,3,2,6]
[8,4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4,8]
[6,4,2,3,8,1,5,7]=>[7,5,1,8,3,2,4,6]
[2,6,4,3,8,1,5,7]=>[7,5,1,8,3,4,6,2]
[2,8,4,3,6,1,5,7]=>[7,5,1,6,3,4,8,2]
[2,6,3,8,4,1,5,7]=>[7,5,1,4,8,3,6,2]
[6,3,8,4,2,1,5,7]=>[7,5,1,2,4,8,3,6]
[2,6,3,8,1,4,5,7]=>[7,5,4,1,8,3,6,2]
[2,8,3,6,1,4,5,7]=>[7,5,4,1,6,3,8,2]
[8,3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3,8]
[2,8,3,6,4,1,5,7]=>[7,5,1,4,6,3,8,2]
[8,3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3,8]
[8,3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3,8]
[6,2,1,3,8,4,5,7]=>[7,5,4,8,3,1,2,6]
[8,2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2,8]
[6,3,8,2,4,1,5,7]=>[7,5,1,4,2,8,3,6]
[6,2,4,3,8,1,5,7]=>[7,5,1,8,3,4,2,6]
[3,6,4,7,8,5,1,2]=>[2,1,5,8,7,4,6,3]
[1,6,4,2,7,5,8,3]=>[3,8,5,7,2,4,6,1]
[3,6,4,2,7,1,5,8]=>[8,5,1,7,2,4,6,3]
[1,4,7,2,5,6,8,3]=>[3,8,6,5,2,7,4,1]
[6,4,8,5,3,7,1,2]=>[2,1,7,3,5,8,4,6]
[1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]
[4,2,5,3,6,1,7,8]=>[8,7,1,6,3,5,2,4]
[7,1,5,3,6,2,8,4]=>[4,8,2,6,3,5,1,7]
[1,6,5,2,4,8,7,3]=>[3,7,8,4,2,5,6,1]
[1,4,6,2,8,5,7,3]=>[3,7,5,8,2,6,4,1]
[7,8,1,4,2,5,6,3]=>[3,6,5,2,4,1,8,7]
[3,4,8,5,2,1,6,7]=>[7,6,1,2,5,8,4,3]
[4,8,5,3,1,6,2,7]=>[7,2,6,1,3,5,8,4]
[6,1,3,5,8,2,7,4]=>[4,7,2,8,5,3,1,6]
[6,1,8,7,4,2,3,5]=>[5,3,2,4,7,8,1,6]
[1,2,8,5,7,3,6,4]=>[4,6,3,7,5,8,2,1]
[1,3,6,8,7,5,2,4]=>[4,2,5,7,8,6,3,1]
[1,8,2,5,4,7,6,3]=>[3,6,7,4,5,2,8,1]
[7,1,2,4,5,8,6,3]=>[3,6,8,5,4,2,1,7]
[1,2,7,3,5,8,6,4]=>[4,6,8,5,3,7,2,1]
[6,1,3,2,5,7,8,4]=>[4,8,7,5,2,3,1,6]
[4,6,2,1,7,5,3,8]=>[8,3,5,7,1,2,6,4]
[1,6,3,7,8,5,2,4]=>[4,2,5,8,7,3,6,1]
[4,6,2,3,7,8,1,5]=>[5,1,8,7,3,2,6,4]
[4,6,3,7,1,2,8,5]=>[5,8,2,1,7,3,6,4]
[4,2,1,3,5,7,8,6]=>[6,8,7,5,3,1,2,4]
[7,3,2,4,5,1,8,6]=>[6,8,1,5,4,2,3,7]
[3,8,2,5,4,1,7,6]=>[6,7,1,4,5,2,8,3]
[7,8,4,2,6,3,1,5]=>[5,1,3,6,2,4,8,7]
[4,2,6,3,8,7,1,5]=>[5,1,7,8,3,6,2,4]
[5,8,2,7,4,3,1,6]=>[6,1,3,4,7,2,8,5]
[4,3,8,5,1,7,2,6]=>[6,2,7,1,5,8,3,4]
[4,3,6,8,1,2,7,5]=>[5,7,2,1,8,6,3,4]
[6,4,3,5,2,8,1,7]=>[7,1,8,2,5,3,4,6]
[6,5,3,8,4,2,1,7]=>[7,1,2,4,8,3,5,6]
[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]
[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]
[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]
[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]
[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]
[5,4,8,6,2,3,7,1]=>[1,7,3,2,6,8,4,5]
[2,7,6,1,3,5,4,8]=>[8,4,5,3,1,6,7,2]
[6,4,1,8,2,5,7,3]=>[3,7,5,2,8,1,4,6]
[2,8,6,1,3,5,4,7]=>[7,4,5,3,1,6,8,2]
[4,1,3,6,5,8,7,2]=>[2,7,8,5,6,3,1,4]
[2,1,6,3,5,8,7,4]=>[4,7,8,5,3,6,1,2]
[2,4,1,3,8,5,7,6]=>[6,7,5,8,3,1,4,2]
[2,4,1,3,5,8,7,6]=>[6,7,8,5,3,1,4,2]
[2,6,1,3,5,8,7,4]=>[4,7,8,5,3,1,6,2]
[4,6,1,3,5,8,7,2]=>[2,7,8,5,3,1,6,4]
[6,1,4,3,5,8,7,2]=>[2,7,8,5,3,4,1,6]
[6,4,1,3,5,8,7,2]=>[2,7,8,5,3,1,4,6]
[6,2,1,3,5,8,7,4]=>[4,7,8,5,3,1,2,6]
[4,2,1,3,6,5,7,8]=>[8,7,5,6,3,1,2,4]
[4,2,1,6,3,5,7,8]=>[8,7,5,3,6,1,2,4]
[6,2,1,8,3,5,7,4]=>[4,7,5,3,8,1,2,6]
[6,2,1,3,8,5,7,4]=>[4,7,5,8,3,1,2,6]
[6,1,4,3,8,5,7,2]=>[2,7,5,8,3,4,1,6]
[1,6,4,3,8,5,7,2]=>[2,7,5,8,3,4,6,1]
[8,1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1,8]
[8,4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4,8]
[8,2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2,8]
[8,2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2,8]
[8,2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2,8]
[6,2,1,4,3,5,7,8]=>[8,7,5,3,4,1,2,6]
[8,2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2,8]
[8,2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2,8]
[8,4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4,8]
[8,4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4,8]
[8,1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1,8]
[1,8,4,6,3,5,7,2]=>[2,7,5,3,6,4,8,1]
[1,6,4,8,3,5,7,2]=>[2,7,5,3,8,4,6,1]
[6,4,1,8,3,5,7,2]=>[2,7,5,3,8,1,4,6]
[6,4,8,1,3,5,7,2]=>[2,7,5,3,1,8,4,6]
[6,2,8,1,3,5,7,4]=>[4,7,5,3,1,8,2,6]
[4,2,8,1,3,5,7,6]=>[6,7,5,3,1,8,2,4]
[2,6,8,1,3,5,7,4]=>[4,7,5,3,1,8,6,2]
[4,6,8,1,3,5,7,2]=>[2,7,5,3,1,8,6,4]
[4,6,1,8,3,5,7,2]=>[2,7,5,3,8,1,6,4]
[4,1,6,8,3,5,7,2]=>[2,7,5,3,8,6,1,4]
[1,4,6,3,8,5,7,2]=>[2,7,5,8,3,6,4,1]
[4,6,1,3,8,5,7,2]=>[2,7,5,8,3,1,6,4]
[2,4,1,8,3,5,7,6]=>[6,7,5,3,8,1,4,2]
[2,1,6,8,3,5,7,4]=>[4,7,5,3,8,6,1,2]
[4,1,3,6,8,5,7,2]=>[2,7,5,8,6,3,1,4]
[1,4,3,6,8,5,7,2]=>[2,7,5,8,6,3,4,1]
[4,1,3,8,6,5,7,2]=>[2,7,5,6,8,3,1,4]
[2,1,8,3,6,5,7,4]=>[4,7,5,6,3,8,1,2]
[2,1,6,4,3,5,7,8]=>[8,7,5,3,4,6,1,2]
[2,6,1,4,3,5,7,8]=>[8,7,5,3,4,1,6,2]
[2,8,1,4,3,5,7,6]=>[6,7,5,3,4,1,8,2]
[2,8,1,6,3,5,7,4]=>[4,7,5,3,6,1,8,2]
[4,8,1,3,6,5,7,2]=>[2,7,5,6,3,1,8,4]
[1,4,8,3,6,5,7,2]=>[2,7,5,6,3,8,4,1]
[1,4,8,6,3,5,7,2]=>[2,7,5,3,6,8,4,1]
[4,1,8,6,3,5,7,2]=>[2,7,5,3,6,8,1,4]
[4,8,1,6,3,5,7,2]=>[2,7,5,3,6,1,8,4]
[4,8,6,1,3,5,7,2]=>[2,7,5,3,1,6,8,4]
[2,8,6,1,3,5,7,4]=>[4,7,5,3,1,6,8,2]
[2,8,4,1,3,5,7,6]=>[6,7,5,3,1,4,8,2]
[2,6,4,1,3,5,7,8]=>[8,7,5,3,1,4,6,2]
[4,6,2,1,3,5,7,8]=>[8,7,5,3,1,2,6,4]
[6,8,1,4,3,5,7,2]=>[2,7,5,3,4,1,8,6]
[6,1,8,4,3,5,7,2]=>[2,7,5,3,4,8,1,6]
[1,6,8,4,3,5,7,2]=>[2,7,5,3,4,8,6,1]
[1,8,6,4,3,5,7,2]=>[2,7,5,3,4,6,8,1]
[8,1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1,8]
[8,6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6,8]
[8,6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6,8]
[8,6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6,8]
[8,4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4,8]
[7,8,6,5,2,1,4,3]=>[3,4,1,2,5,6,8,7]
[5,7,4,1,8,6,3,2]=>[2,3,6,8,1,4,7,5]
[5,6,4,2,8,3,7,1]=>[1,7,3,8,2,4,6,5]
[5,6,4,2,7,3,1,8]=>[8,1,3,7,2,4,6,5]
[5,7,1,4,6,3,2,8]=>[8,2,3,6,4,1,7,5]
[5,8,1,4,6,3,7,2]=>[2,7,3,6,4,1,8,5]
[3,6,7,4,5,8,2,1]=>[1,2,8,5,4,7,6,3]
[3,5,7,4,6,8,2,1]=>[1,2,8,6,4,7,5,3]
[6,8,4,1,7,2,5,3]=>[3,5,2,7,1,4,8,6]
[5,4,6,1,7,8,3,2]=>[2,3,8,7,1,6,4,5]
[5,6,4,1,8,7,3,2]=>[2,3,7,8,1,4,6,5]
[3,5,8,4,6,7,2,1]=>[1,2,7,6,4,8,5,3]
[3,6,8,4,5,7,2,1]=>[1,2,7,5,4,8,6,3]
[3,7,8,4,5,6,2,1]=>[1,2,6,5,4,8,7,3]
[6,8,1,4,5,3,7,2]=>[2,7,3,5,4,1,8,6]
[6,7,1,4,5,3,2,8]=>[8,2,3,5,4,1,7,6]
[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]
[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]
[3,7,1,5,4,6,8,2]=>[2,8,6,4,5,1,7,3]
[6,7,1,4,5,3,8,2]=>[2,8,3,5,4,1,7,6]
[5,7,1,4,6,3,8,2]=>[2,8,3,6,4,1,7,5]
[5,6,4,2,7,3,8,1]=>[1,8,3,7,2,4,6,5]
[5,4,7,2,8,3,1,6]=>[6,1,3,8,2,7,4,5]
[5,4,7,2,8,3,6,1]=>[1,6,3,8,2,7,4,5]
[5,6,4,2,8,3,1,7]=>[7,1,3,8,2,4,6,5]
[5,8,1,4,6,3,2,7]=>[7,2,3,6,4,1,8,5]
[3,8,1,5,4,6,2,7]=>[7,2,6,4,5,1,8,3]
[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]
[3,6,1,5,4,8,2,7]=>[7,2,8,4,5,1,6,3]
[6,8,3,1,4,2,5,7]=>[7,5,2,4,1,3,8,6]
[7,3,8,1,4,2,5,6]=>[6,5,2,4,1,8,3,7]
[6,7,3,1,4,2,8,5]=>[5,8,2,4,1,3,7,6]
[3,6,1,5,4,7,8,2]=>[2,8,7,4,5,1,6,3]
[3,4,1,2,7,6,5,8]=>[8,5,6,7,2,1,4,3]
[3,4,1,2,6,8,7,5]=>[5,7,8,6,2,1,4,3]
[6,8,3,1,4,7,2,5]=>[5,2,7,4,1,3,8,6]
[6,4,7,2,8,5,1,3]=>[3,1,5,8,2,7,4,6]
[5,8,1,4,7,3,2,6]=>[6,2,3,7,4,1,8,5]
[7,8,1,4,5,3,2,6]=>[6,2,3,5,4,1,8,7]
[3,8,1,5,4,7,2,6]=>[6,2,7,4,5,1,8,3]
[3,6,1,5,4,8,7,2]=>[2,7,8,4,5,1,6,3]
[3,6,1,5,4,7,2,8]=>[8,2,7,4,5,1,6,3]
[6,7,3,1,4,2,5,8]=>[8,5,2,4,1,3,7,6]
[6,8,3,1,4,2,7,5]=>[5,7,2,4,1,3,8,6]
[7,8,3,1,4,6,2,5]=>[5,2,6,4,1,3,8,7]
[7,8,4,2,6,5,1,3]=>[3,1,5,6,2,4,8,7]
[6,5,8,7,3,4,2,1]=>[1,2,4,3,7,8,5,6]
[7,8,3,1,4,6,5,2]=>[2,5,6,4,1,3,8,7]
[6,7,3,1,4,5,2,8]=>[8,2,5,4,1,3,7,6]
[3,7,1,5,4,2,6,8]=>[8,6,2,4,5,1,7,3]
[3,8,1,5,4,2,7,6]=>[6,7,2,4,5,1,8,3]
[5,8,1,4,7,3,6,2]=>[2,6,3,7,4,1,8,5]
[6,8,4,2,7,5,3,1]=>[1,3,5,7,2,4,8,6]
[6,4,7,2,8,5,3,1]=>[1,3,5,8,2,7,4,6]
[6,3,7,1,4,8,5,2]=>[2,5,8,4,1,7,3,6]
[6,8,3,1,4,7,5,2]=>[2,5,7,4,1,3,8,6]
[3,7,1,5,4,8,6,2]=>[2,6,8,4,5,1,7,3]
[3,4,1,2,8,5,7,6]=>[6,7,5,8,2,1,4,3]
[3,4,1,2,5,8,7,6]=>[6,7,8,5,2,1,4,3]
[3,7,1,5,4,2,8,6]=>[6,8,2,4,5,1,7,3]
[6,7,3,1,4,5,8,2]=>[2,8,5,4,1,3,7,6]
[7,3,8,1,4,5,2,6]=>[6,2,5,4,1,8,3,7]
[7,3,8,1,4,5,6,2]=>[2,6,5,4,1,8,3,7]
[6,8,3,1,4,5,2,7]=>[7,2,5,4,1,3,8,6]
[3,8,1,5,4,2,6,7]=>[7,6,2,4,5,1,8,3]
[8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8]
[8,7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7,8]
[8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8]
[8,7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7,8]
[8,5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5,8]
[8,7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7,8]
[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]
[8,4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4,8]
[5,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,5]
[5,8,6,2,3,4,7,1]=>[1,7,4,3,2,6,8,5]
[4,5,2,7,3,1,8,6]=>[6,8,1,3,7,2,5,4]
[4,8,2,6,3,5,7,1]=>[1,7,5,3,6,2,8,4]
[4,3,7,8,6,5,1,2]=>[2,1,5,6,8,7,3,4]
[4,1,7,2,5,8,6,3]=>[3,6,8,5,2,7,1,4]
[7,8,2,1,5,6,4,3]=>[3,4,6,5,1,2,8,7]
[1,6,2,5,8,4,3,7]=>[7,3,4,8,5,2,6,1]
[2,1,8,7,4,5,3,6]=>[6,3,5,4,7,8,1,2]
[7,3,1,6,8,5,2,4]=>[4,2,5,8,6,1,3,7]
[1,5,8,6,2,3,7,4]=>[4,7,3,2,6,8,5,1]
[2,4,8,3,1,6,5,7]=>[7,5,6,1,3,8,4,2]
[5,2,7,1,8,6,3,4]=>[4,3,6,8,1,7,2,5]
[2,6,1,3,8,7,4,5]=>[5,4,7,8,3,1,6,2]
[6,5,2,8,1,7,3,4]=>[4,3,7,1,8,2,5,6]
[2,8,3,5,1,7,4,6]=>[6,4,7,1,5,3,8,2]
[5,4,3,8,7,1,6,2]=>[2,6,1,7,8,3,4,5]
[8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]
[8,3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3,8]
[2,8,6,5,1,7,4,3]=>[3,4,7,1,5,6,8,2]
[6,3,2,8,4,1,7,5]=>[5,7,1,4,8,2,3,6]
[2,8,3,4,1,7,5,6]=>[6,5,7,1,4,3,8,2]
[5,4,2,8,3,1,7,6]=>[6,7,1,3,8,2,4,5]
[2,8,4,3,1,7,6,5]=>[5,6,7,1,3,4,8,2]
[2,8,5,3,1,7,6,4]=>[4,6,7,1,3,5,8,2]
[2,8,6,4,1,7,5,3]=>[3,5,7,1,4,6,8,2]
[3,8,7,5,1,6,4,2]=>[2,4,6,1,5,7,8,3]
[8,3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3,8]
[8,4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4,8]
[4,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,4]
[7,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,7]
[7,3,8,5,2,1,6,4]=>[4,6,1,2,5,8,3,7]
[7,3,8,4,2,1,6,5]=>[5,6,1,2,4,8,3,7]
[7,5,4,3,8,2,1,6]=>[6,1,2,8,3,4,5,7]
[3,7,8,4,1,2,6,5]=>[5,6,2,1,4,8,7,3]
[3,7,8,5,1,2,6,4]=>[4,6,2,1,5,8,7,3]
[4,7,8,6,1,2,5,3]=>[3,5,2,1,6,8,7,4]
[8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]
[5,7,8,6,1,2,4,3]=>[3,4,2,1,6,8,7,5]
[6,4,7,8,3,1,2,5]=>[5,2,1,3,8,7,4,6]
[7,3,4,8,2,1,5,6]=>[6,5,1,2,8,4,3,7]
[7,6,4,8,3,2,1,5]=>[5,1,2,3,8,4,6,7]
[7,5,8,6,2,1,4,3]=>[3,4,1,2,6,8,5,7]
[6,5,8,7,3,1,4,2]=>[2,4,1,3,7,8,5,6]
[2,4,8,3,1,5,7,6]=>[6,7,5,1,3,8,4,2]
[6,3,2,4,8,1,5,7]=>[7,5,1,8,4,2,3,6]
[2,3,8,4,1,6,7,5]=>[5,7,6,1,4,8,3,2]
[2,3,8,5,1,6,7,4]=>[4,7,6,1,5,8,3,2]
[6,4,8,7,3,1,5,2]=>[2,5,1,3,7,8,4,6]
[8,6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6,8]
[8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]
[3,4,8,7,1,5,6,2]=>[2,6,5,1,7,8,4,3]
[2,4,8,6,1,5,7,3]=>[3,7,5,1,6,8,4,2]
[2,5,8,6,1,4,7,3]=>[3,7,4,1,6,8,5,2]
[8,3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3,8]
[8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]
[4,6,8,7,1,3,5,2]=>[2,5,3,1,7,8,6,4]
[2,6,8,5,1,3,7,4]=>[4,7,3,1,5,8,6,2]
[2,6,8,4,1,3,7,5]=>[5,7,3,1,4,8,6,2]
[2,5,8,3,1,4,7,6]=>[6,7,4,1,3,8,5,2]
[5,6,8,7,1,3,4,2]=>[2,4,3,1,7,8,6,5]
[7,4,6,8,2,1,3,5]=>[5,3,1,2,8,6,4,7]
[2,3,5,4,1,8,6,7]=>[7,6,8,1,4,5,3,2]
[2,3,6,4,8,1,5,7]=>[7,5,1,8,4,6,3,2]
[1,8,4,6,3,5,2,7]=>[7,2,5,3,6,4,8,1]
[5,4,8,6,2,1,3,7]=>[7,3,1,2,6,8,4,5]
[2,3,6,8,1,5,4,7]=>[7,4,5,1,8,6,3,2]
[2,5,6,1,4,7,8,3]=>[3,8,7,4,1,6,5,2]
[2,5,6,1,4,7,3,8]=>[8,3,7,4,1,6,5,2]
[7,3,5,1,6,8,4,2]=>[2,4,8,6,1,5,3,7]
[2,7,6,1,8,5,4,3]=>[3,4,5,8,1,6,7,2]
[2,7,6,8,1,4,5,3]=>[3,5,4,1,8,6,7,2]
[1,8,7,6,3,2,5,4]=>[4,5,2,3,6,7,8,1]
[1,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,1]
[5,7,8,6,2,3,4,1]=>[1,4,3,2,6,8,7,5]
[2,7,6,1,8,5,3,4]=>[4,3,5,8,1,6,7,2]
[6,3,5,1,7,2,4,8]=>[8,4,2,7,1,5,3,6]
[2,3,4,7,6,1,5,8]=>[8,5,1,6,7,4,3,2]
[7,3,5,8,4,1,2,6]=>[6,2,1,4,8,5,3,7]
[1,8,4,5,2,7,3,6]=>[6,3,7,2,5,4,8,1]
[1,8,4,5,2,7,6,3]=>[3,6,7,2,5,4,8,1]
[7,3,5,8,4,1,6,2]=>[2,6,1,4,8,5,3,7]
[2,7,6,4,8,5,1,3]=>[3,1,5,8,4,6,7,2]
[7,3,5,4,6,8,1,2]=>[2,1,8,6,4,5,3,7]
[6,3,5,4,7,1,8,2]=>[2,8,1,7,4,5,3,6]
[6,3,5,4,7,1,2,8]=>[8,2,1,7,4,5,3,6]
[3,4,1,5,6,8,7,2]=>[2,7,8,6,5,1,4,3]
[3,7,1,6,8,5,2,4]=>[4,2,5,8,6,1,7,3]
[2,3,1,8,6,4,7,5]=>[5,7,4,6,8,1,3,2]
[1,8,4,3,6,2,5,7]=>[7,5,2,6,3,4,8,1]
[2,3,1,8,6,4,5,7]=>[7,5,4,6,8,1,3,2]
[3,7,1,6,8,5,4,2]=>[2,4,5,8,6,1,7,3]
[6,3,5,4,7,2,1,8]=>[8,1,2,7,4,5,3,6]
[7,3,5,4,6,8,2,1]=>[1,2,8,6,4,5,3,7]
[2,7,6,4,8,5,3,1]=>[1,3,5,8,4,6,7,2]
[1,8,4,5,2,6,3,7]=>[7,3,6,2,5,4,8,1]
[6,4,8,5,3,1,2,7]=>[7,2,1,3,5,8,4,6]
[7,3,5,8,4,6,2,1]=>[1,2,6,4,8,5,3,7]
[2,3,4,6,5,8,1,7]=>[7,1,8,5,6,4,3,2]
[2,3,4,7,5,1,8,6]=>[6,8,1,5,7,4,3,2]
[2,3,4,7,5,1,6,8]=>[8,6,1,5,7,4,3,2]
[2,3,4,7,1,6,5,8]=>[8,5,6,1,7,4,3,2]
[2,3,4,7,1,6,8,5]=>[5,8,6,1,7,4,3,2]
[2,3,4,6,1,8,7,5]=>[5,7,8,1,6,4,3,2]
[6,3,5,8,4,2,7,1]=>[1,7,2,4,8,5,3,6]
[7,4,8,5,3,2,1,6]=>[6,1,2,3,5,8,4,7]
[1,8,4,5,2,3,6,7]=>[7,6,3,2,5,4,8,1]
[7,4,8,5,3,2,6,1]=>[1,6,2,3,5,8,4,7]
[6,3,5,8,4,2,1,7]=>[7,1,2,4,8,5,3,6]
[5,2,4,6,8,3,7,1]=>[1,7,3,8,6,4,2,5]
[1,5,7,4,6,3,2,8]=>[8,2,3,6,4,7,5,1]
[5,2,8,4,6,3,7,1]=>[1,7,3,6,4,8,2,5]
[3,8,5,4,6,7,2,1]=>[1,2,7,6,4,5,8,3]
[6,8,3,4,5,7,2,1]=>[1,2,7,5,4,3,8,6]
[2,5,7,4,6,3,8,1]=>[1,8,3,6,4,7,5,2]
[5,4,1,7,8,3,2,6]=>[6,2,3,8,7,1,4,5]
[5,4,2,7,8,3,6,1]=>[1,6,3,8,7,2,4,5]
[5,1,4,6,8,3,2,7]=>[7,2,3,8,6,4,1,5]
[5,1,8,4,6,3,2,7]=>[7,2,3,6,4,8,1,5]
[8,1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1,8]
[8,1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1,8]
[8,1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1,8]
[8,7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7,8]
[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]
[8,7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7,8]
[8,2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2,8]
[1,7,6,3,4,5,2,8]=>[8,2,5,4,3,6,7,1]
[1,7,2,5,4,3,6,8]=>[8,6,3,4,5,2,7,1]
[8,7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7,8]
[5,8,2,4,7,3,6,1]=>[1,6,3,7,4,2,8,5]
[6,8,3,2,4,7,5,1]=>[1,5,7,4,2,3,8,6]
[8,7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7,8]
[8,1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1,8]
[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]
[3,4,8,7,5,2,6,1]=>[1,6,2,5,7,8,4,3]
[3,2,8,6,1,5,4,7]=>[7,4,5,1,6,8,2,3]
[8,6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6,8]
[8,7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7,8]
[3,8,7,2,5,4,6,1]=>[1,6,4,5,2,7,8,3]
[8,7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7,8]
[5,3,6,2,4,8,7,1]=>[1,7,8,4,2,6,3,5]
[3,5,2,8,6,1,4,7]=>[7,4,1,6,8,2,5,3]
[3,7,2,5,1,4,8,6]=>[6,8,4,1,5,2,7,3]
[5,1,8,6,2,3,4,7]=>[7,4,3,2,6,8,1,5]
[2,5,4,1,8,6,3,7]=>[7,3,6,8,1,4,5,2]
[3,7,6,1,8,2,5,4]=>[4,5,2,8,1,6,7,3]
[7,6,3,1,8,2,4,5]=>[5,4,2,8,1,3,6,7]
[8,2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2,8]
[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]
[8,1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1,8]
[7,1,3,6,4,8,2,5]=>[5,2,8,4,6,3,1,7]
[8,2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2,8]
[8,2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2,8]
[7,5,4,1,3,8,2,6]=>[6,2,8,3,1,4,5,7]
[2,7,5,8,3,4,1,6]=>[6,1,4,3,8,5,7,2]
[7,3,8,5,4,1,2,6]=>[6,2,1,4,5,8,3,7]
[7,2,3,6,1,4,8,5]=>[5,8,4,1,6,3,2,7]
[1,3,7,2,5,8,4,6]=>[6,4,8,5,2,7,3,1]
[1,7,2,3,5,8,4,6]=>[6,4,8,5,3,2,7,1]
[7,4,8,1,3,6,2,5]=>[5,2,6,3,1,8,4,7]
[8,1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1,8]
[7,1,2,3,5,8,4,6]=>[6,4,8,5,3,2,1,7]
[8,6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6,8]
[2,6,3,7,1,4,8,5]=>[5,8,4,1,7,3,6,2]
[2,6,3,8,1,4,7,5]=>[5,7,4,1,8,3,6,2]
[7,5,4,8,1,3,2,6]=>[6,2,3,1,8,4,5,7]
[8,5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5,8]
[2,3,1,8,5,4,6,7]=>[7,6,4,5,8,1,3,2]
[8,6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6,8]
[8,5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5,8]
[3,4,7,6,1,8,5,2]=>[2,5,8,1,6,7,4,3]
[3,5,2,6,7,1,8,4]=>[4,8,1,7,6,2,5,3]
[3,2,8,4,7,5,1,6]=>[6,1,5,7,4,8,2,3]
[8,4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4,8]
[3,8,1,6,5,2,7,4]=>[4,7,2,5,6,1,8,3]
[6,1,2,8,3,4,7,5]=>[5,7,4,3,8,2,1,6]
[6,8,3,1,7,2,4,5]=>[5,4,2,7,1,3,8,6]
[3,7,2,5,6,1,8,4]=>[4,8,1,6,5,2,7,3]
[6,8,4,2,5,1,7,3]=>[3,7,1,5,2,4,8,6]
[2,7,5,3,8,4,1,6]=>[6,1,4,8,3,5,7,2]
[8,3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3,8]
[8,3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3,8]
[2,8,3,6,4,7,1,5]=>[5,1,7,4,6,3,8,2]
[7,3,6,4,8,1,2,5]=>[5,2,1,8,4,6,3,7]
[8,3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3,8]
[1,2,8,3,5,7,4,6]=>[6,4,7,5,3,8,2,1]
[1,8,3,2,5,7,4,6]=>[6,4,7,5,2,3,8,1]
[6,5,1,7,4,2,8,3]=>[3,8,2,4,7,1,5,6]
[7,3,6,4,8,2,1,5]=>[5,1,2,8,4,6,3,7]
[4,6,1,7,3,5,2,8]=>[8,2,5,3,7,1,6,4]
[6,1,7,3,4,2,8,5]=>[5,8,2,4,3,7,1,6]
[7,3,8,1,6,5,2,4]=>[4,2,5,6,1,8,3,7]
[8,3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3,8]
[5,1,7,4,2,8,6,3]=>[3,6,8,2,4,7,1,5]
[2,8,1,7,6,5,3,4]=>[4,3,5,6,7,1,8,2]
[4,2,8,6,5,1,7,3]=>[3,7,1,5,6,8,2,4]
[6,4,2,8,5,1,7,3]=>[3,7,1,5,8,2,4,6]
[8,6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6,8]
[7,6,4,8,1,5,2,3]=>[3,2,5,1,8,4,6,7]
[5,1,6,4,2,3,8,7]=>[7,8,3,2,4,6,1,5]
[4,2,3,8,7,5,1,6]=>[6,1,5,7,8,3,2,4]
[3,8,7,1,6,5,2,4]=>[4,2,5,6,1,7,8,3]
[2,4,3,8,1,6,7,5]=>[5,7,6,1,8,3,4,2]
[2,4,3,7,1,6,8,5]=>[5,8,6,1,7,3,4,2]
[4,2,3,7,8,5,1,6]=>[6,1,5,8,7,3,2,4]
[5,1,6,4,2,3,7,8]=>[8,7,3,2,4,6,1,5]
[6,4,7,8,1,5,2,3]=>[3,2,5,1,8,7,4,6]
[8,7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7,8]
[6,5,7,8,1,4,2,3]=>[3,2,4,1,8,7,5,6]
[4,7,8,6,1,5,2,3]=>[3,2,5,1,6,8,7,4]
[3,2,4,7,8,1,5,6]=>[6,5,1,8,7,4,2,3]
[3,2,4,8,7,1,5,6]=>[6,5,1,7,8,4,2,3]
[4,8,7,6,1,5,2,3]=>[3,2,5,1,6,7,8,4]
[5,8,7,6,1,4,2,3]=>[3,2,4,1,6,7,8,5]
[8,6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6,8]
[5,1,6,7,4,2,3,8]=>[8,3,2,4,7,6,1,5]
[6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]
[8,4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4,8]
[8,3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3,8]
[7,3,2,4,8,1,5,6]=>[6,5,1,8,4,2,3,7]
[2,5,3,7,1,6,4,8]=>[8,4,6,1,7,3,5,2]
[8,4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4,8]
[7,4,6,8,1,5,2,3]=>[3,2,5,1,8,6,4,7]
[5,1,6,8,4,2,3,7]=>[7,3,2,4,8,6,1,5]
[4,2,3,7,5,1,6,8]=>[8,6,1,5,7,3,2,4]
[3,7,5,8,1,6,2,4]=>[4,2,6,1,8,5,7,3]
[2,4,3,7,1,6,5,8]=>[8,5,6,1,7,3,4,2]
[2,4,7,1,5,8,6,3]=>[3,6,8,5,1,7,4,2]
[3,2,4,7,6,1,5,8]=>[8,5,1,6,7,4,2,3]
[4,7,6,8,1,5,2,3]=>[3,2,5,1,8,6,7,4]
[8,5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5,8]
[8,6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6,8]
[7,6,8,5,1,4,2,3]=>[3,2,4,1,5,8,6,7]
[6,8,7,5,1,4,2,3]=>[3,2,4,1,5,7,8,6]
[5,6,8,7,1,4,2,3]=>[3,2,4,1,7,8,6,5]
[4,6,8,7,1,5,2,3]=>[3,2,5,1,7,8,6,4]
[2,4,6,7,1,5,8,3]=>[3,8,5,1,7,6,4,2]
[3,2,4,6,1,5,7,8]=>[8,7,5,1,6,4,2,3]
[6,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,6]
[7,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,7]
[3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]
[2,1,8,5,4,6,3,7]=>[7,3,6,4,5,8,1,2]
[4,1,8,5,2,3,6,7]=>[7,6,3,2,5,8,1,4]
[5,4,1,3,6,7,2,8]=>[8,2,7,6,3,1,4,5]
[8,4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4,8]
[8,2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2,8]
[3,2,7,1,5,8,4,6]=>[6,4,8,5,1,7,2,3]
[6,3,7,1,5,4,2,8]=>[8,2,4,5,1,7,3,6]
[7,3,8,1,5,4,2,6]=>[6,2,4,5,1,8,3,7]
[7,1,5,3,8,4,2,6]=>[6,2,4,8,3,5,1,7]
[4,5,1,3,6,8,2,7]=>[7,2,8,6,3,1,5,4]
[3,6,8,1,5,4,2,7]=>[7,2,4,5,1,8,6,3]
[6,8,3,1,5,4,2,7]=>[7,2,4,5,1,3,8,6]
[7,6,3,1,5,4,2,8]=>[8,2,4,5,1,3,6,7]
[3,6,2,1,5,8,4,7]=>[7,4,8,5,1,2,6,3]
[8,6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6,8]
[4,8,2,1,7,5,3,6]=>[6,3,5,7,1,2,8,4]
[2,3,8,1,5,7,4,6]=>[6,4,7,5,1,8,3,2]
[7,1,3,2,8,6,4,5]=>[5,4,6,8,2,3,1,7]
[7,1,6,2,8,3,4,5]=>[5,4,3,8,2,6,1,7]
[4,7,1,2,6,3,8,5]=>[5,8,3,6,2,1,7,4]
[2,7,8,1,5,3,4,6]=>[6,4,3,5,1,8,7,2]
[6,7,2,1,5,3,4,8]=>[8,4,3,5,1,2,7,6]
[4,7,2,1,8,5,3,6]=>[6,3,5,8,1,2,7,4]
[8,7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7,8]
[8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8]
[5,7,8,6,1,4,3,2]=>[2,3,4,1,6,8,7,5]
[2,7,4,1,6,5,3,8]=>[8,3,5,6,1,4,7,2]
[3,7,1,4,5,6,8,2]=>[2,8,6,5,4,1,7,3]
[7,1,6,4,5,8,3,2]=>[2,3,8,5,4,6,1,7]
[3,5,1,4,7,6,8,2]=>[2,8,6,7,4,1,5,3]
[2,6,4,1,7,5,3,8]=>[8,3,5,7,1,4,6,2]
[5,6,8,7,1,4,3,2]=>[2,3,4,1,7,8,6,5]
[6,8,5,7,1,4,3,2]=>[2,3,4,1,7,5,8,6]
[8,6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6,8]
[8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8]
[6,5,7,8,1,4,3,2]=>[2,3,4,1,8,7,5,6]
[7,2,3,1,5,6,4,8]=>[8,4,6,5,1,3,2,7]
[4,2,8,1,6,5,3,7]=>[7,3,5,6,1,8,2,4]
[6,2,4,1,8,5,3,7]=>[7,3,5,8,1,4,2,6]
[8,3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3,8]
[5,3,1,4,8,6,7,2]=>[2,7,6,8,4,1,3,5]
[7,5,1,6,3,4,8,2]=>[2,8,4,3,6,1,5,7]
[7,1,5,8,4,3,6,2]=>[2,6,3,4,8,5,1,7]
[5,8,1,6,4,3,7,2]=>[2,7,3,4,6,1,8,5]
[5,3,1,8,4,6,7,2]=>[2,7,6,4,8,1,3,5]
[8,3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3,8]
[8,2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2,8]
[6,2,8,1,4,5,3,7]=>[7,3,5,4,1,8,2,6]
[7,2,6,1,5,3,4,8]=>[8,4,3,5,1,6,2,7]
[2,8,6,1,5,3,4,7]=>[7,4,3,5,1,6,8,2]
[4,2,1,5,6,3,8,7]=>[7,8,3,6,5,1,2,4]
[7,1,2,5,8,3,4,6]=>[6,4,3,8,5,2,1,7]
[7,1,4,5,6,8,3,2]=>[2,3,8,6,5,4,1,7]
[8,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,8]
[7,6,8,5,1,4,3,2]=>[2,3,4,1,5,8,6,7]
[6,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,6]
[2,6,7,1,4,5,3,8]=>[8,3,5,4,1,7,6,2]
[3,5,1,7,4,6,8,2]=>[2,8,6,4,7,1,5,3]
[7,1,5,6,4,8,3,2]=>[2,3,8,4,6,5,1,7]
[7,1,6,5,4,8,3,2]=>[2,3,8,4,5,6,1,7]
[2,7,6,1,4,5,3,8]=>[8,3,5,4,1,6,7,2]
[5,7,6,8,1,4,3,2]=>[2,3,4,1,8,6,7,5]
[7,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,7]
[4,3,1,6,5,8,7,2]=>[2,7,8,5,6,1,3,4]
[5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]
[5,3,6,2,1,8,7,4]=>[4,7,8,1,2,6,3,5]
[5,3,7,2,1,4,6,8]=>[8,6,4,1,2,7,3,5]
[5,3,7,2,8,4,1,6]=>[6,1,4,8,2,7,3,5]
[7,2,4,5,8,3,1,6]=>[6,1,3,8,5,4,2,7]
[7,2,4,5,1,3,6,8]=>[8,6,3,1,5,4,2,7]
[6,2,4,5,1,8,7,3]=>[3,7,8,1,5,4,2,6]
[3,1,4,5,2,8,7,6]=>[6,7,8,2,5,4,1,3]
[1,6,4,5,2,8,7,3]=>[3,7,8,2,5,4,6,1]
[3,7,4,5,1,2,6,8]=>[8,6,2,1,5,4,7,3]
[3,7,4,5,8,2,1,6]=>[6,1,2,8,5,4,7,3]
[1,7,4,2,6,3,5,8]=>[8,5,3,6,2,4,7,1]
[8,7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7,8]
[6,3,7,1,8,4,2,5]=>[5,2,4,8,1,7,3,6]
[5,7,4,1,6,3,2,8]=>[8,2,3,6,1,4,7,5]
[1,7,4,8,6,3,2,5]=>[5,2,3,6,8,4,7,1]
[5,7,4,8,6,3,1,2]=>[2,1,3,6,8,4,7,5]
[4,8,3,5,6,7,1,2]=>[2,1,7,6,5,3,8,4]
[1,8,3,5,6,7,2,4]=>[4,2,7,6,5,3,8,1]
[4,8,1,5,6,7,2,3]=>[3,2,7,6,5,1,8,4]
[4,1,3,5,6,7,2,8]=>[8,2,7,6,5,3,1,4]
[5,8,4,3,6,1,2,7]=>[7,2,1,6,3,4,8,5]
[5,3,8,4,1,7,2,6]=>[6,2,7,1,4,8,3,5]
[1,5,8,4,6,7,3,2]=>[2,3,7,6,4,8,5,1]
[1,4,8,3,6,7,5,2]=>[2,5,7,6,3,8,4,1]
[4,3,8,2,1,7,5,6]=>[6,5,7,1,2,8,3,4]
[3,8,4,2,6,1,5,7]=>[7,5,1,6,2,4,8,3]
[1,8,2,5,6,7,4,3]=>[3,4,7,6,5,2,8,1]
[3,8,1,5,6,7,4,2]=>[2,4,7,6,5,1,8,3]
[3,8,2,5,6,7,1,4]=>[4,1,7,6,5,2,8,3]
[8,2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2,8]
[8,1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1,8]
[7,1,4,3,6,2,5,8]=>[8,5,2,6,3,4,1,7]
[7,8,4,3,6,2,1,5]=>[5,1,2,6,3,4,8,7]
[4,3,1,8,5,7,6,2]=>[2,6,7,5,8,1,3,4]
[4,3,1,6,8,7,5,2]=>[2,5,7,8,6,1,3,4]
[6,3,1,8,2,7,4,5]=>[5,4,7,2,8,1,3,6]
[6,3,5,8,2,7,1,4]=>[4,1,7,2,8,5,3,6]
[7,5,4,8,6,2,1,3]=>[3,1,2,6,8,4,5,7]
[7,1,4,8,6,2,3,5]=>[5,3,2,6,8,4,1,7]
[7,5,4,1,6,2,3,8]=>[8,3,2,6,1,4,5,7]
[7,6,4,5,8,1,3,2]=>[2,3,1,8,5,4,6,7]
[1,6,4,5,8,2,3,7]=>[7,3,2,8,5,4,6,1]
[7,3,6,1,8,2,4,5]=>[5,4,2,8,1,6,3,7]
[1,7,6,5,8,3,4,2]=>[2,4,3,8,5,6,7,1]
[1,8,5,3,6,7,4,2]=>[2,4,7,6,3,5,8,1]
[8,3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3,8]
[8,4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4,8]
[8,4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4,8]
[4,1,8,5,6,7,3,2]=>[2,3,7,6,5,8,1,4]
[1,2,8,5,6,7,3,4]=>[4,3,7,6,5,8,2,1]
[4,2,1,5,6,7,3,8]=>[8,3,7,6,5,1,2,4]
[1,5,3,8,6,7,4,2]=>[2,4,7,6,8,3,5,1]
[1,4,5,8,6,7,3,2]=>[2,3,7,6,8,5,4,1]
[4,3,5,8,1,7,2,6]=>[6,2,7,1,8,5,3,4]
[3,5,4,8,6,1,2,7]=>[7,2,1,6,8,4,5,3]
[1,4,8,5,6,7,2,3]=>[3,2,7,6,5,8,4,1]
[3,4,8,5,6,7,1,2]=>[2,1,7,6,5,8,4,3]
[2,7,1,5,6,3,4,8]=>[8,4,3,6,5,1,7,2]
[2,7,1,4,3,6,5,8]=>[8,5,6,3,4,1,7,2]
[4,3,7,2,5,6,8,1]=>[1,8,6,5,2,7,3,4]
[2,6,3,1,4,5,8,7]=>[7,8,5,4,1,3,6,2]
[3,7,1,4,2,6,8,5]=>[5,8,6,2,4,1,7,3]
[3,7,1,5,6,2,8,4]=>[4,8,2,6,5,1,7,3]
[4,7,1,5,6,8,2,3]=>[3,2,8,6,5,1,7,4]
[8,5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5,8]
[8,4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4,8]
[8,4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4,8]
[4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]
[5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]
[5,3,7,4,2,8,1,6]=>[6,1,8,2,4,7,3,5]
[6,4,7,2,3,8,1,5]=>[5,1,8,3,2,7,4,6]
[6,5,7,2,8,3,1,4]=>[4,1,3,8,2,7,5,6]
[5,3,7,2,4,8,6,1]=>[1,6,8,4,2,7,3,5]
[2,6,5,1,8,3,4,7]=>[7,4,3,8,1,5,6,2]
[8,7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7,8]
[8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8]
[8,7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7,8]
[8,7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7,8]
[8,5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5,8]
[8,5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5,8]
[8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]
[8,3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3,8]
[5,7,3,4,2,1,8,6]=>[6,8,1,2,4,3,7,5]
[6,7,4,2,3,1,8,5]=>[5,8,1,3,2,4,7,6]
[6,7,5,3,1,2,8,4]=>[4,8,2,1,3,5,7,6]
[6,7,5,4,1,8,2,3]=>[3,2,8,1,4,5,7,6]
[6,2,4,3,8,7,5,1]=>[1,5,7,8,3,4,2,6]
[7,3,5,4,1,8,6,2]=>[2,6,8,1,4,5,3,7]
[5,2,7,1,3,4,8,6]=>[6,8,4,3,1,7,2,5]
[2,6,5,7,3,1,4,8]=>[8,4,1,3,7,5,6,2]
[2,6,5,7,3,1,8,4]=>[4,8,1,3,7,5,6,2]
[6,3,1,4,7,8,5,2]=>[2,5,8,7,4,1,3,6]
[6,8,2,1,3,4,5,7]=>[7,5,4,3,1,2,8,6]
[3,7,1,8,4,5,2,6]=>[6,2,5,4,8,1,7,3]
[6,3,2,4,7,5,8,1]=>[1,8,5,7,4,2,3,6]
[6,3,2,4,7,5,1,8]=>[8,1,5,7,4,2,3,6]
[4,2,1,6,3,7,5,8]=>[8,5,7,3,6,1,2,4]
[4,2,1,6,3,7,8,5]=>[5,8,7,3,6,1,2,4]
[7,4,3,5,8,6,1,2]=>[2,1,6,8,5,3,4,7]
[2,7,6,8,3,1,4,5]=>[5,4,1,3,8,6,7,2]
[7,4,3,5,8,6,2,1]=>[1,2,6,8,5,3,4,7]
[4,2,1,7,3,8,6,5]=>[5,6,8,3,7,1,2,4]
[4,2,1,3,7,8,6,5]=>[5,6,8,7,3,1,2,4]
[5,8,1,7,4,3,6,2]=>[2,6,3,4,7,1,8,5]
[5,8,1,7,4,3,2,6]=>[6,2,3,4,7,1,8,5]
[3,7,8,6,2,1,4,5]=>[5,4,1,2,6,8,7,3]
[4,2,1,8,3,5,6,7]=>[7,6,5,3,8,1,2,4]
[4,2,1,3,6,7,5,8]=>[8,5,7,6,3,1,2,4]
[4,2,1,3,7,5,6,8]=>[8,6,5,7,3,1,2,4]
[4,2,1,3,6,8,7,5]=>[5,7,8,6,3,1,2,4]
[7,3,2,4,8,6,5,1]=>[1,5,6,8,4,2,3,7]
[4,2,1,6,3,8,7,5]=>[5,7,8,3,6,1,2,4]
[4,2,1,7,3,5,6,8]=>[8,6,5,3,7,1,2,4]
[3,6,7,5,2,1,4,8]=>[8,4,1,2,5,7,6,3]
[3,6,7,5,2,1,8,4]=>[4,8,1,2,5,7,6,3]
[7,3,4,2,6,8,5,1]=>[1,5,8,6,2,4,3,7]
[4,8,6,2,7,3,5,1]=>[1,5,3,7,2,6,8,4]
[7,3,4,2,6,8,1,5]=>[5,1,8,6,2,4,3,7]
[3,6,7,5,2,4,8,1]=>[1,8,4,2,5,7,6,3]
[3,6,7,5,2,4,1,8]=>[8,1,4,2,5,7,6,3]
[4,2,1,7,3,6,5,8]=>[8,5,6,3,7,1,2,4]
[4,2,1,7,3,6,8,5]=>[5,8,6,3,7,1,2,4]
[3,7,6,8,4,2,5,1]=>[1,5,2,4,8,6,7,3]
[5,8,1,7,4,2,6,3]=>[3,6,2,4,7,1,8,5]
[3,7,8,6,2,4,5,1]=>[1,5,4,2,6,8,7,3]
[4,2,1,3,8,6,7,5]=>[5,7,6,8,3,1,2,4]
[4,2,1,3,7,6,5,8]=>[8,5,6,7,3,1,2,4]
[4,2,1,3,5,7,6,8]=>[8,6,7,5,3,1,2,4]
[4,2,1,3,5,8,6,7]=>[7,6,8,5,3,1,2,4]
[4,8,1,7,3,6,5,2]=>[2,5,6,3,7,1,8,4]
[4,7,8,6,3,5,2,1]=>[1,2,5,3,6,8,7,4]
[4,2,1,8,3,7,6,5]=>[5,6,7,3,8,1,2,4]
[4,2,1,3,5,6,8,7]=>[7,8,6,5,3,1,2,4]
[7,8,2,4,1,3,6,5]=>[5,6,3,1,4,2,8,7]
[2,6,1,5,4,7,8,3]=>[3,8,7,4,5,1,6,2]
[4,6,3,5,8,7,1,2]=>[2,1,7,8,5,3,6,4]
[3,5,6,1,4,8,7,2]=>[2,7,8,4,1,6,5,3]
[2,3,6,8,4,1,5,7]=>[7,5,1,4,8,6,3,2]
[2,7,5,1,8,3,4,6]=>[6,4,3,8,1,5,7,2]
[4,7,5,2,1,3,6,8]=>[8,6,3,1,2,5,7,4]
[3,5,6,2,4,1,7,8]=>[8,7,1,4,2,6,5,3]
[2,5,6,1,4,8,3,7]=>[7,3,8,4,1,6,5,2]
[6,7,8,4,1,5,3,2]=>[2,3,5,1,4,8,7,6]
[7,1,6,8,4,5,3,2]=>[2,3,5,4,8,6,1,7]
[7,4,6,5,2,8,1,3]=>[3,1,8,2,5,6,4,7]
[5,7,8,1,4,6,3,2]=>[2,3,6,4,1,8,7,5]
[8,1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1,8]
[1,8,4,6,7,5,3,2]=>[2,3,5,7,6,4,8,1]
[6,1,8,4,7,5,3,2]=>[2,3,5,7,4,8,1,6]
[4,5,8,6,1,7,3,2]=>[2,3,7,1,6,8,5,4]
[4,8,5,1,6,7,3,2]=>[2,3,7,6,1,5,8,4]
[8,1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1,8]
[5,6,7,1,4,2,3,8]=>[8,3,2,4,1,7,6,5]
[8,4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4,8]
[4,8,5,2,1,6,7,3]=>[3,7,6,1,2,5,8,4]
[5,1,8,4,2,6,3,7]=>[7,3,6,2,4,8,1,5]
[1,8,4,6,2,5,3,7]=>[7,3,5,2,6,4,8,1]
[6,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,6]
[8,3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3,8]
[3,1,8,2,5,6,4,7]=>[7,4,6,5,2,8,1,3]
[3,5,1,8,2,6,4,7]=>[7,4,6,2,8,1,5,3]
[3,5,1,2,8,4,7,6]=>[6,7,4,8,2,1,5,3]
[2,3,5,8,6,1,7,4]=>[4,7,1,6,8,5,3,2]
[8,2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2,8]
[3,2,8,5,7,1,6,4]=>[4,6,1,7,5,8,2,3]
[3,6,2,8,5,1,7,4]=>[4,7,1,5,8,2,6,3]
[6,2,1,8,4,7,5,3]=>[3,5,7,4,8,1,2,6]
[2,8,7,1,4,6,5,3]=>[3,5,6,4,1,7,8,2]
[8,2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2,8]
[7,2,5,3,6,8,1,4]=>[4,1,8,6,3,5,2,7]
[7,3,1,5,6,2,4,8]=>[8,4,2,6,5,1,3,7]
[3,7,5,1,6,2,4,8]=>[8,4,2,6,1,5,7,3]
[2,7,3,6,5,8,1,4]=>[4,1,8,5,6,3,7,2]
[8,7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7,8]
[1,8,7,2,3,6,5,4]=>[4,5,6,3,2,7,8,1]
[1,7,8,2,6,4,3,5]=>[5,3,4,6,2,8,7,1]
[1,7,3,8,2,6,4,5]=>[5,4,6,2,8,3,7,1]
[1,2,7,3,6,4,5,8]=>[8,5,4,6,3,7,2,1]
[7,1,5,8,3,2,4,6]=>[6,4,2,3,8,5,1,7]
[1,6,2,8,4,3,7,5]=>[5,7,3,4,8,2,6,1]
[1,3,8,7,2,4,6,5]=>[5,6,4,2,7,8,3,1]
[1,8,3,7,2,5,4,6]=>[6,4,5,2,7,3,8,1]
[8,1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1,8]
[4,7,8,1,3,2,5,6]=>[6,5,2,3,1,8,7,4]
[7,1,4,2,3,5,6,8]=>[8,6,5,3,2,4,1,7]
[8,2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2,8]
[2,1,3,8,4,6,7,5]=>[5,7,6,4,8,3,1,2]
[1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1]
[2,4,7,5,6,8,3,1]=>[1,3,8,6,5,7,4,2]
[2,4,8,7,5,6,3,1]=>[1,3,6,5,7,8,4,2]
[2,5,3,8,4,7,6,1]=>[1,6,7,4,8,3,5,2]
[2,8,5,7,3,6,4,1]=>[1,4,6,3,7,5,8,2]
[3,1,8,5,2,7,6,4]=>[4,6,7,2,5,8,1,3]
[8,3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3,8]
[8,3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3,8]
[2,8,6,3,4,5,7,1]=>[1,7,5,4,3,6,8,2]
[2,6,8,3,4,5,7,1]=>[1,7,5,4,3,8,6,2]
[2,5,7,3,4,8,6,1]=>[1,6,8,4,3,7,5,2]
[2,7,8,5,3,6,4,1]=>[1,4,6,3,5,8,7,2]
[2,7,6,3,4,8,5,1]=>[1,5,8,4,3,6,7,2]
[3,1,8,7,2,6,4,5]=>[5,4,6,2,7,8,1,3]
[8,3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3,8]
[4,8,1,7,2,3,6,5]=>[5,6,3,2,7,1,8,4]
[4,1,7,2,3,6,5,8]=>[8,5,6,3,2,7,1,4]
[3,7,1,8,2,6,4,5]=>[5,4,6,2,8,1,7,3]
[3,1,7,8,2,5,6,4]=>[4,6,5,2,8,7,1,3]
[3,1,6,5,8,2,7,4]=>[4,7,2,8,5,6,1,3]
[6,3,5,8,7,1,4,2]=>[2,4,1,7,8,5,3,6]
[7,3,8,5,1,6,4,2]=>[2,4,6,1,5,8,3,7]
[7,3,6,1,4,8,5,2]=>[2,5,8,4,1,6,3,7]
[7,8,3,6,1,4,5,2]=>[2,5,4,1,6,3,8,7]
[7,4,8,1,2,3,6,5]=>[5,6,3,2,1,8,4,7]
[8,7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7,8]
[7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]
[7,4,6,1,2,8,3,5]=>[5,3,8,2,1,6,4,7]
[6,4,1,2,8,5,7,3]=>[3,7,5,8,2,1,4,6]
[5,7,1,2,3,6,4,8]=>[8,4,6,3,2,1,7,5]
[3,6,8,1,2,7,4,5]=>[5,4,7,2,1,8,6,3]
[4,8,6,1,2,3,7,5]=>[5,7,3,2,1,6,8,4]
[8,4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4,8]
[4,8,1,5,2,7,3,6]=>[6,3,7,2,5,1,8,4]
[4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]
[3,1,4,8,7,5,2,6]=>[6,2,5,7,8,4,1,3]
[4,3,6,8,7,5,1,2]=>[2,1,5,7,8,6,3,4]
[5,4,1,8,2,7,6,3]=>[3,6,7,2,8,1,4,5]
[5,4,1,8,2,7,3,6]=>[6,3,7,2,8,1,4,5]
[8,6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6,8]
[6,4,8,1,2,5,3,7]=>[7,3,5,2,1,8,4,6]
[6,7,3,1,4,8,5,2]=>[2,5,8,4,1,3,7,6]
[5,6,3,8,7,1,4,2]=>[2,4,1,7,8,3,6,5]
[5,4,1,6,8,2,7,3]=>[3,7,2,8,6,1,4,5]
[5,4,7,1,2,8,6,3]=>[3,6,8,2,1,7,4,5]
[6,7,4,1,2,8,3,5]=>[5,3,8,2,1,4,7,6]
[6,5,1,2,3,7,8,4]=>[4,8,7,3,2,1,5,6]
[6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]
[8,6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6,8]
[6,5,1,2,3,7,4,8]=>[8,4,7,3,2,1,5,6]
[6,7,4,1,2,5,3,8]=>[8,3,5,2,1,4,7,6]
[7,8,6,4,1,2,5,3]=>[3,5,2,1,4,6,8,7]
[2,4,6,3,5,7,1,8]=>[8,1,7,5,3,6,4,2]
[1,4,6,3,7,2,5,8]=>[8,5,2,7,3,6,4,1]
[8,6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6,8]
[8,2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2,8]
[1,8,3,4,2,7,5,6]=>[6,5,7,2,4,3,8,1]
[2,8,3,4,1,6,7,5]=>[5,7,6,1,4,3,8,2]
[8,7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7,8]
[3,8,2,4,6,1,7,5]=>[5,7,1,6,4,2,8,3]
[7,8,2,4,3,1,6,5]=>[5,6,1,3,4,2,8,7]
[4,5,8,2,3,1,7,6]=>[6,7,1,3,2,8,5,4]
[5,1,4,3,7,2,6,8]=>[8,6,2,7,3,4,1,5]
[6,1,3,5,7,2,4,8]=>[8,4,2,7,5,3,1,6]
[2,1,4,7,5,3,6,8]=>[8,6,3,5,7,4,1,2]
[7,1,3,6,2,5,4,8]=>[8,4,5,2,6,3,1,7]
[8,1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1,8]
[2,1,8,3,7,5,4,6]=>[6,4,5,7,3,8,1,2]
[7,1,8,2,5,6,3,4]=>[4,3,6,5,2,8,1,7]
[6,1,5,8,2,7,3,4]=>[4,3,7,2,8,5,1,6]
[4,5,2,8,1,6,7,3]=>[3,7,6,1,8,2,5,4]
[6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]
[3,2,8,5,1,6,7,4]=>[4,7,6,1,5,8,2,3]
[8,2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2,8]
[1,3,8,2,5,7,4,6]=>[6,4,7,5,2,8,3,1]
[2,8,7,1,6,4,5,3]=>[3,5,4,6,1,7,8,2]
[3,8,7,1,5,6,4,2]=>[2,4,6,5,1,7,8,3]
[3,4,8,5,6,1,7,2]=>[2,7,1,6,5,8,4,3]
[8,3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3,8]
[1,4,8,6,2,7,3,5]=>[5,3,7,2,6,8,4,1]
[8,4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4,8]
[3,5,6,8,4,1,7,2]=>[2,7,1,4,8,6,5,3]
[6,2,3,1,5,4,7,8]=>[8,7,4,5,1,3,2,6]
[7,2,3,1,4,6,5,8]=>[8,5,6,4,1,3,2,7]
[8,2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2,8]
[8,5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5,8]
[7,5,1,3,2,6,4,8]=>[8,4,6,2,3,1,5,7]
[2,6,1,4,5,3,7,8]=>[8,7,3,5,4,1,6,2]
[3,6,4,1,5,2,7,8]=>[8,7,2,5,1,4,6,3]
[4,5,7,1,2,6,3,8]=>[8,3,6,2,1,7,5,4]
[3,7,4,1,2,6,5,8]=>[8,5,6,2,1,4,7,3]
[6,7,1,4,2,5,3,8]=>[8,3,5,2,4,1,7,6]
[2,7,1,3,5,6,4,8]=>[8,4,6,5,3,1,7,2]
[8,6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6,8]
[2,8,1,3,4,6,7,5]=>[5,7,6,4,3,1,8,2]
[7,8,1,2,5,3,6,4]=>[4,6,3,5,2,1,8,7]
[3,8,4,1,2,5,7,6]=>[6,7,5,2,1,4,8,3]
[1,2,6,7,5,3,8,4]=>[4,8,3,5,7,6,2,1]
[1,7,5,3,2,8,4,6]=>[6,4,8,2,3,5,7,1]
[1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]
[1,6,5,7,2,3,8,4]=>[4,8,3,2,7,5,6,1]
[1,3,8,2,6,5,7,4]=>[4,7,5,6,2,8,3,1]
[1,2,5,7,6,3,4,8]=>[8,4,3,6,7,5,2,1]
[1,3,4,8,2,5,7,6]=>[6,7,5,2,8,4,3,1]
[1,5,7,6,2,3,4,8]=>[8,4,3,2,6,7,5,1]
[1,5,3,8,2,6,4,7]=>[7,4,6,2,8,3,5,1]
[1,4,8,3,2,5,7,6]=>[6,7,5,2,3,8,4,1]
[1,4,8,3,5,7,6,2]=>[2,6,7,5,3,8,4,1]
[1,2,4,8,3,5,7,6]=>[6,7,5,3,8,4,2,1]
[1,3,8,4,2,6,7,5]=>[5,7,6,2,4,8,3,1]
[1,4,8,2,3,5,7,6]=>[6,7,5,3,2,8,4,1]
[6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]
[4,2,6,7,5,8,3,1]=>[1,3,8,5,7,6,2,4]
[6,7,5,2,1,8,4,3]=>[3,4,8,1,2,5,7,6]
[3,4,8,7,5,2,1,6]=>[6,1,2,5,7,8,4,3]
[1,7,5,2,8,4,6,3]=>[3,6,4,8,2,5,7,1]
[5,6,8,3,1,7,2,4]=>[4,2,7,1,3,8,6,5]
[6,1,4,8,3,2,7,5]=>[5,7,2,3,8,4,1,6]
[3,4,7,1,8,6,2,5]=>[5,2,6,8,1,7,4,3]
[3,4,6,8,2,1,5,7]=>[7,5,1,2,8,6,4,3]
[3,8,2,5,6,1,4,7]=>[7,4,1,6,5,2,8,3]
[3,5,2,8,6,4,1,7]=>[7,1,4,6,8,2,5,3]
[4,2,5,7,3,8,6,1]=>[1,6,8,3,7,5,2,4]
[7,4,2,5,3,8,1,6]=>[6,1,8,3,5,2,4,7]
[3,1,2,8,5,6,4,7]=>[7,4,6,5,8,2,1,3]
[5,2,1,6,8,3,4,7]=>[7,4,3,8,6,1,2,5]
[5,2,6,8,4,1,3,7]=>[7,3,1,4,8,6,2,5]
[1,5,6,8,3,4,2,7]=>[7,2,4,3,8,6,5,1]
[4,5,8,1,6,3,2,7]=>[7,2,3,6,1,8,5,4]
[4,5,1,6,8,3,2,7]=>[7,2,3,8,6,1,5,4]
[4,5,7,3,8,2,6,1]=>[1,6,2,8,3,7,5,4]
[6,4,3,7,8,2,5,1]=>[1,5,2,8,7,3,4,6]
[6,4,3,1,7,8,2,5]=>[5,2,8,7,1,3,4,6]
[4,5,3,1,7,8,2,6]=>[6,2,8,7,1,3,5,4]
[7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]
[7,5,2,8,1,4,3,6]=>[6,3,4,1,8,2,5,7]
[5,7,3,8,4,6,1,2]=>[2,1,6,4,8,3,7,5]
[1,4,5,7,3,8,6,2]=>[2,6,8,3,7,5,4,1]
[4,6,3,7,8,5,2,1]=>[1,2,5,8,7,3,6,4]
[5,3,6,7,8,4,2,1]=>[1,2,4,8,7,6,3,5]
[1,5,3,6,7,8,4,2]=>[2,4,8,7,6,3,5,1]
[4,6,1,7,3,8,5,2]=>[2,5,8,3,7,1,6,4]
[6,3,7,1,8,4,5,2]=>[2,5,4,8,1,7,3,6]
[6,7,2,4,8,1,5,3]=>[3,5,1,8,4,2,7,6]
[2,6,1,4,7,3,8,5]=>[5,8,3,7,4,1,6,2]
[3,2,5,6,7,8,1,4]=>[4,1,8,7,6,5,2,3]
[5,2,3,6,7,8,4,1]=>[1,4,8,7,6,3,2,5]
[6,7,1,3,2,8,4,5]=>[5,4,8,2,3,1,7,6]
[6,2,7,1,3,4,8,5]=>[5,8,4,3,1,7,2,6]
[5,2,1,7,3,8,4,6]=>[6,4,8,3,7,1,2,5]
[6,4,2,7,1,8,3,5]=>[5,3,8,1,7,2,4,6]
[4,2,6,3,7,8,1,5]=>[5,1,8,7,3,6,2,4]
[4,2,6,3,7,8,5,1]=>[1,5,8,7,3,6,2,4]
[6,7,3,8,2,4,5,1]=>[1,5,4,2,8,3,7,6]
[3,6,2,7,4,1,8,5]=>[5,8,1,4,7,2,6,3]
[6,7,3,2,1,4,8,5]=>[5,8,4,1,2,3,7,6]
[7,1,8,3,4,2,5,6]=>[6,5,2,4,3,8,1,7]
[7,2,4,1,8,3,5,6]=>[6,5,3,8,1,4,2,7]
[7,2,4,8,6,1,3,5]=>[5,3,1,6,8,4,2,7]
[7,3,4,8,6,2,1,5]=>[5,1,2,6,8,4,3,7]
[3,5,7,2,1,8,6,4]=>[4,6,8,1,2,7,5,3]
[6,7,8,3,2,5,1,4]=>[4,1,5,2,3,8,7,6]
[6,3,7,8,2,5,4,1]=>[1,4,5,2,8,7,3,6]
[2,6,7,4,8,5,3,1]=>[1,3,5,8,4,7,6,2]
[6,2,4,7,1,8,5,3]=>[3,5,8,1,7,4,2,6]
[4,6,2,7,1,8,5,3]=>[3,5,8,1,7,2,6,4]
[1,7,4,8,5,2,6,3]=>[3,6,2,5,8,4,7,1]
[1,3,7,8,5,2,6,4]=>[4,6,2,5,8,7,3,1]
[2,5,7,8,1,6,3,4]=>[4,3,6,1,8,7,5,2]
[6,3,7,1,8,2,5,4]=>[4,5,2,8,1,7,3,6]
[1,6,4,7,8,2,5,3]=>[3,5,2,8,7,4,6,1]
[2,5,6,1,7,8,4,3]=>[3,4,8,7,1,6,5,2]
[5,6,1,2,7,8,4,3]=>[3,4,8,7,2,1,6,5]
[6,7,2,1,8,5,3,4]=>[4,3,5,8,1,2,7,6]
[6,7,2,8,5,4,1,3]=>[3,1,4,5,8,2,7,6]
[1,6,7,4,8,5,3,2]=>[2,3,5,8,4,7,6,1]
[1,8,2,4,6,3,5,7]=>[7,5,3,6,4,2,8,1]
[7,2,8,3,5,1,4,6]=>[6,4,1,5,3,8,2,7]
[1,3,7,4,6,2,5,8]=>[8,5,2,6,4,7,3,1]
[1,5,7,4,3,6,2,8]=>[8,2,6,3,4,7,5,1]
[1,8,4,5,3,6,2,7]=>[7,2,6,3,5,4,8,1]
[1,8,5,3,4,7,2,6]=>[6,2,7,4,3,5,8,1]
[1,8,2,4,6,3,7,5]=>[5,7,3,6,4,2,8,1]
[1,8,2,5,4,6,7,3]=>[3,7,6,4,5,2,8,1]
[3,6,2,7,1,4,5,8]=>[8,5,4,1,7,2,6,3]
[6,3,8,1,2,4,7,5]=>[5,7,4,2,1,8,3,6]
[1,3,7,4,6,2,8,5]=>[5,8,2,6,4,7,3,1]
[1,4,7,5,2,6,8,3]=>[3,8,6,2,5,7,4,1]
[4,5,2,7,1,3,8,6]=>[6,8,3,1,7,2,5,4]
[4,5,2,3,6,1,8,7]=>[7,8,1,6,3,2,5,4]
[4,6,5,3,7,1,8,2]=>[2,8,1,7,3,5,6,4]
[2,5,4,7,1,6,8,3]=>[3,8,6,1,7,4,5,2]
[4,2,3,8,6,7,1,5]=>[5,1,7,6,8,3,2,4]
[6,2,4,8,5,1,7,3]=>[3,7,1,5,8,4,2,6]
[5,2,4,8,1,3,7,6]=>[6,7,3,1,8,4,2,5]
[6,2,5,4,8,3,7,1]=>[1,7,3,8,4,5,2,6]
[6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]
[5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]
[3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]
[5,3,4,8,1,6,2,7]=>[7,2,6,1,8,4,3,5]
[4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]
[6,2,4,8,5,1,3,7]=>[7,3,1,5,8,4,2,6]
[7,6,3,8,5,1,2,4]=>[4,2,1,5,8,3,6,7]
[1,4,3,7,8,2,5,6]=>[6,5,2,8,7,3,4,1]
[4,2,6,7,3,8,1,5]=>[5,1,8,3,7,6,2,4]
[1,5,7,4,2,8,6,3]=>[3,6,8,2,4,7,5,1]
[1,3,7,2,8,6,4,5]=>[5,4,6,8,2,7,3,1]
[1,4,3,7,8,6,2,5]=>[5,2,6,8,7,3,4,1]
[1,5,3,6,8,2,7,4]=>[4,7,2,8,6,3,5,1]
[4,5,2,7,1,8,6,3]=>[3,6,8,1,7,2,5,4]
[4,3,6,5,7,8,1,2]=>[2,1,8,7,5,6,3,4]
[4,2,3,5,6,8,1,7]=>[7,1,8,6,5,3,2,4]
[5,2,6,4,7,8,3,1]=>[1,3,8,7,4,6,2,5]
[4,2,6,7,3,8,5,1]=>[1,5,8,3,7,6,2,4]
[3,2,5,6,8,1,7,4]=>[4,7,1,8,6,5,2,3]
[6,4,5,2,3,8,7,1]=>[1,7,8,3,2,5,4,6]
[8,4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4,8]
[4,6,5,2,3,1,8,7]=>[7,8,1,3,2,5,6,4]
[6,4,2,5,3,1,8,7]=>[7,8,1,3,5,2,4,6]
[6,4,2,5,3,8,7,1]=>[1,7,8,3,5,2,4,6]
[8,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,8]
[8,6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6,8]
[6,4,2,5,8,7,3,1]=>[1,3,7,8,5,2,4,6]
[4,6,2,5,3,8,7,1]=>[1,7,8,3,5,2,6,4]
[4,6,5,2,3,8,7,1]=>[1,7,8,3,2,5,6,4]
[6,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,6]
[4,8,6,7,5,2,3,1]=>[1,3,2,5,7,6,8,4]
[6,8,4,7,5,2,3,1]=>[1,3,2,5,7,4,8,6]
[6,8,2,7,4,5,3,1]=>[1,3,5,4,7,2,8,6]
[8,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,8]
[8,6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6,8]
[6,8,2,4,7,5,3,1]=>[1,3,5,7,4,2,8,6]
[4,8,2,6,7,5,3,1]=>[1,3,5,7,6,2,8,4]
[2,8,4,6,7,5,3,1]=>[1,3,5,7,6,4,8,2]
[2,8,6,7,4,5,3,1]=>[1,3,5,4,7,6,8,2]
[6,8,7,2,4,5,3,1]=>[1,3,5,4,2,7,8,6]
[2,6,4,5,8,7,3,1]=>[1,3,7,8,5,4,6,2]
[2,6,4,8,7,5,3,1]=>[1,3,5,7,8,4,6,2]
[4,6,2,8,7,5,3,1]=>[1,3,5,7,8,2,6,4]
[8,2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2,8]
[6,2,4,8,7,5,3,1]=>[1,3,5,7,8,4,2,6]
[4,2,6,8,7,5,3,1]=>[1,3,5,7,8,6,2,4]
[4,2,6,5,8,7,3,1]=>[1,3,7,8,5,6,2,4]
[6,2,4,5,8,7,3,1]=>[1,3,7,8,5,4,2,6]
[8,2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2,8]
[8,6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6,8]
[6,4,5,2,8,7,3,1]=>[1,3,7,8,2,5,4,6]
[4,2,3,6,8,7,5,1]=>[1,5,7,8,6,3,2,4]
[6,4,5,8,7,2,3,1]=>[1,3,2,7,8,5,4,6]
[8,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,8]
[8,4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4,8]
[6,4,8,7,2,5,3,1]=>[1,3,5,2,7,8,4,6]
[6,2,8,7,4,5,3,1]=>[1,3,5,4,7,8,2,6]
[6,4,8,7,5,2,3,1]=>[1,3,2,5,7,8,4,6]
[4,6,8,7,5,2,3,1]=>[1,3,2,5,7,8,6,4]
[4,6,5,8,7,2,3,1]=>[1,3,2,7,8,5,6,4]
[2,1,6,8,7,4,5,3]=>[3,5,4,7,8,6,1,2]
[2,6,8,7,4,5,3,1]=>[1,3,5,4,7,8,6,2]
[2,4,8,6,7,5,3,1]=>[1,3,5,7,6,8,4,2]
[4,2,8,6,7,5,3,1]=>[1,3,5,7,6,8,2,4]
[6,2,8,4,7,5,3,1]=>[1,3,5,7,4,8,2,6]
[8,2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2,8]
[6,4,8,2,7,5,3,1]=>[1,3,5,7,2,8,4,6]
[4,6,8,2,7,5,3,1]=>[1,3,5,7,2,8,6,4]
[2,6,8,4,7,5,3,1]=>[1,3,5,7,4,8,6,2]
[4,6,8,7,2,5,3,1]=>[1,3,5,2,7,8,6,4]
[4,6,5,8,2,7,3,1]=>[1,3,7,2,8,5,6,4]
[2,1,6,8,4,7,5,3]=>[3,5,7,4,8,6,1,2]
[2,1,8,6,4,7,5,3]=>[3,5,7,4,6,8,1,2]
[6,8,7,4,2,5,3,1]=>[1,3,5,2,4,7,8,6]
[2,8,6,4,7,5,3,1]=>[1,3,5,7,4,6,8,2]
[4,8,6,2,7,5,3,1]=>[1,3,5,7,2,6,8,4]
[4,2,5,6,3,8,1,7]=>[7,1,8,3,6,5,2,4]
[6,2,5,7,4,8,3,1]=>[1,3,8,4,7,5,2,6]
[8,5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5,8]
[6,7,3,2,5,8,4,1]=>[1,4,8,5,2,3,7,6]
[3,2,6,4,8,1,5,7]=>[7,5,1,8,4,6,2,3]
[2,3,6,4,7,8,5,1]=>[1,5,8,7,4,6,3,2]
[7,5,1,8,3,4,6,2]=>[2,6,4,3,8,1,5,7]
[5,7,8,2,6,3,4,1]=>[1,4,3,6,2,8,7,5]
[7,1,6,3,5,8,4,2]=>[2,4,8,5,3,6,1,7]
[6,3,1,7,8,4,5,2]=>[2,5,4,8,7,1,3,6]
[5,3,6,7,4,1,8,2]=>[2,8,1,4,7,6,3,5]
[7,3,1,2,5,8,6,4]=>[4,6,8,5,2,1,3,7]
[1,6,3,5,2,4,8,7]=>[7,8,4,2,5,3,6,1]
[3,4,8,2,7,5,1,6]=>[6,1,5,7,2,8,4,3]
[6,3,2,8,5,7,4,1]=>[1,4,7,5,8,2,3,6]
[3,8,4,7,2,5,6,1]=>[1,6,5,2,7,4,8,3]
[2,4,8,1,5,3,7,6]=>[6,7,3,5,1,8,4,2]
[3,4,8,1,6,2,7,5]=>[5,7,2,6,1,8,4,3]
[1,8,4,6,7,3,5,2]=>[2,5,3,7,6,4,8,1]
[8,1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1,8]
[7,6,5,4,1,2,8,3]=>[3,8,2,1,4,5,6,7]
[5,7,6,8,3,4,2,1]=>[1,2,4,3,8,6,7,5]
[2,8,1,6,5,7,4,3]=>[3,4,7,5,6,1,8,2]
[4,6,8,2,5,3,7,1]=>[1,7,3,5,2,8,6,4]
[5,2,3,7,6,1,8,4]=>[4,8,1,6,7,3,2,5]
[8,1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1,8]
[5,2,3,7,4,8,6,1]=>[1,6,8,4,7,3,2,5]
[5,2,6,8,4,3,1,7]=>[7,1,3,4,8,6,2,5]
[7,8,1,5,4,3,6,2]=>[2,6,3,4,5,1,8,7]
[7,2,4,8,5,3,6,1]=>[1,6,3,5,8,4,2,7]
[3,7,5,1,8,4,6,2]=>[2,6,4,8,1,5,7,3]
[2,7,8,5,4,6,1,3]=>[3,1,6,4,5,8,7,2]
[5,7,4,3,8,6,2,1]=>[1,2,6,8,3,4,7,5]
[4,8,1,6,3,5,2,7]=>[7,2,5,3,6,1,8,4]
[8,3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3,8]
[3,1,8,2,4,5,7,6]=>[6,7,5,4,2,8,1,3]
[8,1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1,8]
[2,3,6,8,7,1,4,5]=>[5,4,1,7,8,6,3,2]
[4,3,2,8,5,7,1,6]=>[6,1,7,5,8,2,3,4]
[3,6,4,2,8,5,7,1]=>[1,7,5,8,2,4,6,3]
[4,7,3,2,5,1,8,6]=>[6,8,1,5,2,3,7,4]
[3,2,4,7,5,8,6,1]=>[1,6,8,5,7,4,2,3]
[4,2,3,8,6,5,1,7]=>[7,1,5,6,8,3,2,4]
[2,4,3,5,1,8,6,7]=>[7,6,8,1,5,3,4,2]
[3,2,8,1,4,6,5,7]=>[7,5,6,4,1,8,2,3]
[3,7,8,5,6,1,2,4]=>[4,2,1,6,5,8,7,3]
[3,6,1,8,4,7,2,5]=>[5,2,7,4,8,1,6,3]
[3,1,6,8,4,7,2,5]=>[5,2,7,4,8,6,1,3]
[4,1,6,8,3,2,7,5]=>[5,7,2,3,8,6,1,4]
[4,6,1,8,3,2,7,5]=>[5,7,2,3,8,1,6,4]
[4,7,8,1,3,2,6,5]=>[5,6,2,3,1,8,7,4]
[4,7,8,3,1,2,6,5]=>[5,6,2,1,3,8,7,4]
[2,7,8,3,4,6,5,1]=>[1,5,6,4,3,8,7,2]
[4,7,8,2,1,3,6,5]=>[5,6,3,1,2,8,7,4]
[4,6,1,8,2,3,7,5]=>[5,7,3,2,8,1,6,4]
[4,1,6,8,2,3,7,5]=>[5,7,3,2,8,6,1,4]
[4,5,1,2,8,3,7,6]=>[6,7,3,8,2,1,5,4]
[4,5,2,1,8,3,7,6]=>[6,7,3,8,1,2,5,4]
[4,6,2,8,1,3,7,5]=>[5,7,3,1,8,2,6,4]
[3,6,2,8,4,7,1,5]=>[5,1,7,4,8,2,6,3]
[2,3,6,8,4,7,5,1]=>[1,5,7,4,8,6,3,2]
[3,2,6,8,4,7,1,5]=>[5,1,7,4,8,6,2,3]
[4,2,6,8,3,1,7,5]=>[5,7,1,3,8,6,2,4]
[4,2,5,1,8,3,7,6]=>[6,7,3,8,1,5,2,4]
[4,1,2,5,8,3,7,6]=>[6,7,3,8,5,2,1,4]
[5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]
[5,2,4,1,3,8,7,6]=>[6,7,8,3,1,4,2,5]
[4,2,5,3,8,1,7,6]=>[6,7,1,8,3,5,2,4]
[3,2,5,4,8,7,1,6]=>[6,1,7,8,4,5,2,3]
[3,5,2,4,8,7,1,6]=>[6,1,7,8,4,2,5,3]
[5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]
[5,1,4,2,3,8,7,6]=>[6,7,8,3,2,4,1,5]
[5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]
[5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]
[4,5,3,1,8,2,7,6]=>[6,7,2,8,1,3,5,4]
[4,5,1,3,8,2,7,6]=>[6,7,2,8,3,1,5,4]
[3,1,5,4,8,7,2,6]=>[6,2,7,8,4,5,1,3]
[3,5,1,4,8,7,2,6]=>[6,2,7,8,4,1,5,3]
[3,5,4,1,8,7,2,6]=>[6,2,7,8,1,4,5,3]
[3,6,5,8,7,1,2,4]=>[4,2,1,7,8,5,6,3]
[2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]
[3,4,5,1,8,7,2,6]=>[6,2,7,8,1,5,4,3]
[3,4,1,5,8,7,2,6]=>[6,2,7,8,5,1,4,3]
[4,1,3,5,8,2,7,6]=>[6,7,2,8,5,3,1,4]
[4,3,6,8,2,1,7,5]=>[5,7,1,2,8,6,3,4]
[2,4,6,8,3,7,5,1]=>[1,5,7,3,8,6,4,2]
[3,4,5,2,8,7,1,6]=>[6,1,7,8,2,5,4,3]
[5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]
[5,1,3,4,2,8,7,6]=>[6,7,8,2,4,3,1,5]
[5,1,3,2,4,8,7,6]=>[6,7,8,4,2,3,1,5]
[5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]
[4,3,2,5,8,1,7,6]=>[6,7,1,8,5,2,3,4]
[3,4,2,5,8,7,1,6]=>[6,1,7,8,5,2,4,3]
[3,2,4,5,8,7,1,6]=>[6,1,7,8,5,4,2,3]
[4,2,3,5,8,1,7,6]=>[6,7,1,8,5,3,2,4]
[5,2,3,1,4,8,7,6]=>[6,7,8,4,1,3,2,5]
[5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]
[5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]
[8,6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6,8]
[6,5,7,4,2,8,3,1]=>[1,3,8,2,4,7,5,6]
[6,7,5,3,8,2,4,1]=>[1,4,2,8,3,5,7,6]
[8,2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2,8]
[8,3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3,8]
[8,6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6,8]
[8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8]
[6,2,3,7,8,4,5,1]=>[1,5,4,8,7,3,2,6]
[7,5,8,2,6,3,4,1]=>[1,4,3,6,2,8,5,7]
[7,3,1,6,5,8,4,2]=>[2,4,8,5,6,1,3,7]
[1,5,6,7,3,4,8,2]=>[2,8,4,3,7,6,5,1]
[6,7,8,2,1,4,5,3]=>[3,5,4,1,2,8,7,6]
[8,4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4,8]
[5,3,8,4,7,2,6,1]=>[1,6,2,7,4,8,3,5]
[8,1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1,8]
[5,3,1,7,8,6,2,4]=>[4,2,6,8,7,1,3,5]
[3,5,8,2,7,1,6,4]=>[4,6,1,7,2,8,5,3]
[6,2,8,5,3,1,7,4]=>[4,7,1,3,5,8,2,6]
[8,2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2,8]
[3,4,2,8,5,1,7,6]=>[6,7,1,5,8,2,4,3]
[3,8,6,5,2,1,7,4]=>[4,7,1,2,5,6,8,3]
[8,3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3,8]
[4,8,5,7,2,1,3,6]=>[6,3,1,2,7,5,8,4]
[3,4,1,8,2,6,7,5]=>[5,7,6,2,8,1,4,3]
[8,4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4,8]
[6,8,3,4,1,5,7,2]=>[2,7,5,1,4,3,8,6]
[5,1,7,6,2,8,4,3]=>[3,4,8,2,6,7,1,5]
[6,8,2,5,7,4,1,3]=>[3,1,4,7,5,2,8,6]
[2,8,5,6,7,1,3,4]=>[4,3,1,7,6,5,8,2]
[2,5,7,6,3,1,8,4]=>[4,8,1,3,6,7,5,2]
[4,2,8,3,1,5,6,7]=>[7,6,5,1,3,8,2,4]
[2,5,7,3,8,4,6,1]=>[1,6,4,8,3,7,5,2]
[4,2,7,1,8,5,3,6]=>[6,3,5,8,1,7,2,4]
[4,2,1,8,7,5,6,3]=>[3,6,5,7,8,1,2,4]
[8,3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3,8]
[1,3,7,5,8,6,4,2]=>[2,4,6,8,5,7,3,1]
[5,7,8,4,3,1,6,2]=>[2,6,1,3,4,8,7,5]
[2,7,4,5,8,3,6,1]=>[1,6,3,8,5,4,7,2]
[3,5,7,1,4,8,6,2]=>[2,6,8,4,1,7,5,3]
[7,2,8,5,1,4,6,3]=>[3,6,4,1,5,8,2,7]
[1,6,5,3,8,4,2,7]=>[7,2,4,8,3,5,6,1]
[5,7,4,8,3,6,2,1]=>[1,2,6,3,8,4,7,5]
[4,8,6,1,3,5,2,7]=>[7,2,5,3,1,6,8,4]
[1,8,3,2,4,7,5,6]=>[6,5,7,4,2,3,8,1]
[8,4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4,8]
[3,6,4,8,2,5,7,1]=>[1,7,5,2,8,4,6,3]
[4,3,7,2,5,8,1,6]=>[6,1,8,5,2,7,3,4]
[3,2,4,7,8,5,6,1]=>[1,6,5,8,7,4,2,3]
[2,6,4,3,8,5,1,7]=>[7,1,5,8,3,4,6,2]
[3,8,2,1,6,4,5,7]=>[7,5,4,6,1,2,8,3]
[8,2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2,8]
[4,6,8,3,2,1,5,7]=>[7,5,1,2,3,8,6,4]
[3,2,6,8,5,4,1,7]=>[7,1,4,5,8,6,2,3]
[7,3,8,2,5,4,1,6]=>[6,1,4,5,2,8,3,7]
[4,2,5,3,8,7,6,1]=>[1,6,7,8,3,5,2,4]
[4,8,2,6,5,3,1,7]=>[7,1,3,5,6,2,8,4]
[2,6,8,5,4,1,3,7]=>[7,3,1,4,5,8,6,2]
[3,1,8,6,5,4,2,7]=>[7,2,4,5,6,8,1,3]
[5,4,8,7,3,2,6,1]=>[1,6,2,3,7,8,4,5]
[6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]
[4,7,3,6,2,1,8,5]=>[5,8,1,2,6,3,7,4]
[5,4,3,7,1,8,2,6]=>[6,2,8,1,7,3,4,5]
[7,3,8,5,1,4,2,6]=>[6,2,4,1,5,8,3,7]
[5,4,8,7,6,2,1,3]=>[3,1,2,6,7,8,4,5]
[3,8,1,5,7,4,6,2]=>[2,6,4,7,5,1,8,3]
[4,8,5,7,3,1,6,2]=>[2,6,1,3,7,5,8,4]
[1,5,4,8,3,7,6,2]=>[2,6,7,3,8,4,5,1]
[4,8,3,6,7,1,5,2]=>[2,5,1,7,6,3,8,4]
[4,7,8,3,1,6,5,2]=>[2,5,6,1,3,8,7,4]
[8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]
[4,6,1,3,8,7,5,2]=>[2,5,7,8,3,1,6,4]
[6,8,2,1,7,4,5,3]=>[3,5,4,7,1,2,8,6]
[3,7,1,6,4,2,8,5]=>[5,8,2,4,6,1,7,3]
[3,1,2,7,5,6,8,4]=>[4,8,6,5,7,2,1,3]
[3,6,1,2,7,5,8,4]=>[4,8,5,7,2,1,6,3]
[3,7,6,2,5,8,1,4]=>[4,1,8,5,2,6,7,3]
[3,6,2,5,8,7,4,1]=>[1,4,7,8,5,2,6,3]
[8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]
[4,7,2,6,3,8,1,5]=>[5,1,8,3,6,2,7,4]
[6,3,2,4,8,7,5,1]=>[1,5,7,8,4,2,3,6]
[3,7,2,4,6,1,8,5]=>[5,8,1,6,4,2,7,3]
[5,3,7,2,8,1,4,6]=>[6,4,1,8,2,7,3,5]
[6,3,2,8,7,5,1,4]=>[4,1,5,7,8,2,3,6]
[7,3,8,2,6,5,1,4]=>[4,1,5,6,2,8,3,7]
[6,4,8,7,2,5,1,3]=>[3,1,5,2,7,8,4,6]
[2,5,4,8,1,7,6,3]=>[3,6,7,1,8,4,5,2]
[5,2,8,1,7,6,3,4]=>[4,3,6,7,1,8,2,5]
[6,2,1,3,8,7,5,4]=>[4,5,7,8,3,1,2,6]
[3,6,1,8,7,5,2,4]=>[4,2,5,7,8,1,6,3]
[5,6,1,2,8,7,4,3]=>[3,4,7,8,2,1,6,5]
[7,5,2,8,1,6,4,3]=>[3,4,6,1,8,2,5,7]
[2,7,6,8,1,5,4,3]=>[3,4,5,1,8,6,7,2]
[7,8,5,1,6,2,4,3]=>[3,4,2,6,1,5,8,7]
[7,4,8,6,1,2,5,3]=>[3,5,2,1,6,8,4,7]
[7,2,1,8,3,6,5,4]=>[4,5,6,3,8,1,2,7]
[5,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,5]
[8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]
[6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]
[7,6,4,3,2,8,5,1]=>[1,5,8,2,3,4,6,7]
[7,3,1,4,8,2,5,6]=>[6,5,2,8,4,1,3,7]
[7,4,1,2,5,8,3,6]=>[6,3,8,5,2,1,4,7]
[6,7,4,2,5,1,3,8]=>[8,3,1,5,2,4,7,6]
[5,7,2,4,6,8,1,3]=>[3,1,8,6,4,2,7,5]
[4,7,5,1,6,2,8,3]=>[3,8,2,6,1,5,7,4]
[5,7,4,6,3,1,8,2]=>[2,8,1,3,6,4,7,5]
[7,5,1,4,3,2,8,6]=>[6,8,2,3,4,1,5,7]
[8,6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6,8]
[6,4,7,1,3,8,5,2]=>[2,5,8,3,1,7,4,6]
[5,4,2,7,3,1,6,8]=>[8,6,1,3,7,2,4,5]
[4,5,1,2,7,6,8,3]=>[3,8,6,7,2,1,5,4]
[5,4,6,8,3,1,2,7]=>[7,2,1,3,8,6,4,5]
[6,4,8,1,3,7,2,5]=>[5,2,7,3,1,8,4,6]
[4,6,1,3,8,5,2,7]=>[7,2,5,8,3,1,6,4]
[1,3,8,4,5,7,2,6]=>[6,2,7,5,4,8,3,1]
[2,6,7,4,5,3,1,8]=>[8,1,3,5,4,7,6,2]
[2,6,8,4,3,5,1,7]=>[7,1,5,3,4,8,6,2]
[1,3,7,4,2,8,5,6]=>[6,5,8,2,4,7,3,1]
[7,5,8,6,2,1,3,4]=>[4,3,1,2,6,8,5,7]
[2,8,1,3,6,5,4,7]=>[7,4,5,6,3,1,8,2]
[2,8,7,3,5,4,1,6]=>[6,1,4,5,3,7,8,2]
[3,4,2,6,8,7,1,5]=>[5,1,7,8,6,2,4,3]
[8,4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4,8]
[7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]
[6,8,3,2,7,1,5,4]=>[4,5,1,7,2,3,8,6]
[2,8,5,6,3,7,1,4]=>[4,1,7,3,6,5,8,2]
[7,4,2,5,8,1,6,3]=>[3,6,1,8,5,2,4,7]
[2,7,8,3,4,5,1,6]=>[6,1,5,4,3,8,7,2]
[3,7,1,2,4,6,5,8]=>[8,5,6,4,2,1,7,3]
[7,5,6,8,2,1,4,3]=>[3,4,1,2,8,6,5,7]
[3,1,6,5,2,7,4,8]=>[8,4,7,2,5,6,1,3]
[2,8,6,5,3,4,1,7]=>[7,1,4,3,5,6,8,2]
[1,7,2,3,5,6,8,4]=>[4,8,6,5,3,2,7,1]
[3,4,6,2,8,5,7,1]=>[1,7,5,8,2,6,4,3]
[4,2,1,7,5,8,3,6]=>[6,3,8,5,7,1,2,4]
[4,7,2,6,5,1,3,8]=>[8,3,1,5,6,2,7,4]
[3,7,4,1,2,5,8,6]=>[6,8,5,2,1,4,7,3]
[4,7,1,6,5,2,8,3]=>[3,8,2,5,6,1,7,4]
[4,7,3,6,5,1,8,2]=>[2,8,1,5,6,3,7,4]
[4,3,7,1,6,8,5,2]=>[2,5,8,6,1,7,3,4]
[4,2,1,7,5,6,8,3]=>[3,8,6,5,7,1,2,4]
[3,2,4,8,6,7,1,5]=>[5,1,7,6,8,4,2,3]
[4,2,6,8,7,3,1,5]=>[5,1,3,7,8,6,2,4]
[3,4,6,1,8,5,2,7]=>[7,2,5,8,1,6,4,3]
[4,1,6,7,5,8,2,3]=>[3,2,8,5,7,6,1,4]
[4,3,7,1,6,8,2,5]=>[5,2,8,6,1,7,3,4]
[4,3,7,5,6,8,2,1]=>[1,2,8,6,5,7,3,4]
[4,1,7,3,6,5,2,8]=>[8,2,5,6,3,7,1,4]
[2,8,7,4,5,3,1,6]=>[6,1,3,5,4,7,8,2]
[2,8,7,4,3,5,1,6]=>[6,1,5,3,4,7,8,2]
[3,8,1,4,2,6,5,7]=>[7,5,6,2,4,1,8,3]
[4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]
[5,8,7,6,1,2,4,3]=>[3,4,2,1,6,7,8,5]
[5,8,7,6,2,1,3,4]=>[4,3,1,2,6,7,8,5]
[4,1,7,2,6,8,5,3]=>[3,5,8,6,2,7,1,4]
[4,2,7,3,6,1,8,5]=>[5,8,1,6,3,7,2,4]
[4,2,7,3,6,5,8,1]=>[1,8,5,6,3,7,2,4]
[3,8,2,4,5,6,7,1]=>[1,7,6,5,4,2,8,3]
[3,8,2,4,1,6,7,5]=>[5,7,6,1,4,2,8,3]
[3,8,5,6,2,4,1,7]=>[7,1,4,2,6,5,8,3]
[2,8,6,5,3,7,1,4]=>[4,1,7,3,5,6,8,2]
[3,8,6,5,1,4,7,2]=>[2,7,4,1,5,6,8,3]
[3,8,2,1,4,6,7,5]=>[5,7,6,4,1,2,8,3]
[3,8,2,5,4,6,7,1]=>[1,7,6,4,5,2,8,3]
[4,2,7,5,6,3,8,1]=>[1,8,3,6,5,7,2,4]
[4,2,7,5,6,1,8,3]=>[3,8,1,6,5,7,2,4]
[4,2,6,7,5,3,1,8]=>[8,1,3,5,7,6,2,4]
[3,2,6,1,4,5,8,7]=>[7,8,5,4,1,6,2,3]
[2,8,7,3,4,5,1,6]=>[6,1,5,4,3,7,8,2]
[3,8,1,2,4,6,5,7]=>[7,5,6,4,2,1,8,3]
[5,8,7,6,1,3,4,2]=>[2,4,3,1,6,7,8,5]
[5,8,7,6,2,3,4,1]=>[1,4,3,2,6,7,8,5]
[3,8,1,5,2,6,4,7]=>[7,4,6,2,5,1,8,3]
[2,8,7,5,3,4,1,6]=>[6,1,4,3,5,7,8,2]
[2,8,7,5,4,3,1,6]=>[6,1,3,4,5,7,8,2]
[5,8,7,6,1,3,2,4]=>[4,2,3,1,6,7,8,5]
[5,8,7,6,4,1,2,3]=>[3,2,1,4,6,7,8,5]
[5,4,2,3,7,6,8,1]=>[1,8,6,7,3,2,4,5]
[7,4,3,5,2,8,1,6]=>[6,1,8,2,5,3,4,7]
[8,4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4,8]
[8,4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4,8]
[7,4,6,2,3,5,8,1]=>[1,8,5,3,2,6,4,7]
[5,1,7,2,4,6,8,3]=>[3,8,6,4,2,7,1,5]
[4,5,7,1,2,6,8,3]=>[3,8,6,2,1,7,5,4]
[5,4,1,7,3,6,8,2]=>[2,8,6,3,7,1,4,5]
[3,6,4,7,5,2,8,1]=>[1,8,2,5,7,4,6,3]
[3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]
[4,7,5,6,1,3,8,2]=>[2,8,3,1,6,5,7,4]
[5,7,6,4,3,1,8,2]=>[2,8,1,3,4,6,7,5]
[5,7,6,3,1,4,8,2]=>[2,8,4,1,3,6,7,5]
[7,5,2,3,4,8,1,6]=>[6,1,8,4,3,2,5,7]
[8,7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7,8]
[6,7,1,3,8,4,2,5]=>[5,2,4,8,3,1,7,6]
[7,6,1,3,4,8,5,2]=>[2,5,8,4,3,1,6,7]
[3,6,5,2,7,8,1,4]=>[4,1,8,7,2,5,6,3]
[3,2,8,6,7,1,4,5]=>[5,4,1,7,6,8,2,3]
[4,8,3,6,5,2,1,7]=>[7,1,2,5,6,3,8,4]
[1,8,6,5,4,2,3,7]=>[7,3,2,4,5,6,8,1]
[1,8,7,2,3,5,4,6]=>[6,4,5,3,2,7,8,1]
[1,8,7,2,5,3,4,6]=>[6,4,3,5,2,7,8,1]
[3,6,8,5,1,2,4,7]=>[7,4,2,1,5,8,6,3]
[3,7,5,1,8,2,6,4]=>[4,6,2,8,1,5,7,3]
[7,1,2,8,3,5,6,4]=>[4,6,5,3,8,2,1,7]
[6,1,7,8,2,5,3,4]=>[4,3,5,2,8,7,1,6]
[6,7,5,2,8,1,4,3]=>[3,4,1,8,2,5,7,6]
[7,1,4,5,8,6,2,3]=>[3,2,6,8,5,4,1,7]
[5,7,6,4,2,8,1,3]=>[3,1,8,2,4,6,7,5]
[7,5,6,1,2,8,4,3]=>[3,4,8,2,1,6,5,7]
[4,1,3,7,8,6,2,5]=>[5,2,6,8,7,3,1,4]
[5,1,4,3,6,8,7,2]=>[2,7,8,6,3,4,1,5]
[4,5,7,6,8,2,1,3]=>[3,1,2,8,6,7,5,4]
[5,7,6,8,4,2,1,3]=>[3,1,2,4,8,6,7,5]
[5,1,6,8,4,2,7,3]=>[3,7,2,4,8,6,1,5]
[7,4,8,2,3,6,5,1]=>[1,5,6,3,2,8,4,7]
[5,6,8,4,7,3,2,1]=>[1,2,3,7,4,8,6,5]
[6,4,7,8,5,2,1,3]=>[3,1,2,5,8,7,4,6]
[3,6,4,8,5,1,2,7]=>[7,2,1,5,8,4,6,3]
[3,7,4,8,1,2,5,6]=>[6,5,2,1,8,4,7,3]
[7,4,3,8,2,6,5,1]=>[1,5,6,2,8,3,4,7]
[7,6,8,3,2,5,4,1]=>[1,4,5,2,3,8,6,7]
[8,7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7,8]
[7,1,8,3,4,2,6,5]=>[5,6,2,4,3,8,1,7]
[7,6,8,3,1,4,5,2]=>[2,5,4,1,3,8,6,7]
[3,1,4,8,2,5,7,6]=>[6,7,5,2,8,4,1,3]
[4,8,5,2,1,3,6,7]=>[7,6,3,1,2,5,8,4]
[5,8,2,6,3,1,4,7]=>[7,4,1,3,6,2,8,5]
[6,8,2,3,7,4,1,5]=>[5,1,4,7,3,2,8,6]
[7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]
[8,1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1,8]
[8,1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1,8]
[7,2,1,6,3,5,4,8]=>[8,4,5,3,6,1,2,7]
[2,7,1,6,3,5,4,8]=>[8,4,5,3,6,1,7,2]
[2,7,1,5,4,3,6,8]=>[8,6,3,4,5,1,7,2]
[7,2,1,5,4,3,6,8]=>[8,6,3,4,5,1,2,7]
[8,1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1,8]
[8,1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1,8]
[8,1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1,8]
[8,1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1,8]
[8,1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1,8]
[7,2,1,4,5,3,6,8]=>[8,6,3,5,4,1,2,7]
[2,7,1,4,5,3,6,8]=>[8,6,3,5,4,1,7,2]
[2,6,3,1,5,4,7,8]=>[8,7,4,5,1,3,6,2]
[6,3,2,1,5,4,7,8]=>[8,7,4,5,1,2,3,6]
[7,3,1,4,5,2,6,8]=>[8,6,2,5,4,1,3,7]
[7,3,1,5,4,2,6,8]=>[8,6,2,4,5,1,3,7]
[7,3,1,6,2,5,4,8]=>[8,4,5,2,6,1,3,7]
[3,7,1,6,2,5,4,8]=>[8,4,5,2,6,1,7,3]
[3,7,1,4,5,2,6,8]=>[8,6,2,5,4,1,7,3]
[3,6,2,1,5,4,7,8]=>[8,7,4,5,1,2,6,3]
[2,3,6,1,5,4,7,8]=>[8,7,4,5,1,6,3,2]
[3,5,2,4,1,6,7,8]=>[8,7,6,1,4,2,5,3]
[6,3,4,1,5,2,7,8]=>[8,7,2,5,1,4,3,6]
[6,2,4,1,5,3,7,8]=>[8,7,3,5,1,4,2,6]
[2,6,4,1,5,3,7,8]=>[8,7,3,5,1,4,6,2]
[2,6,5,1,3,7,4,8]=>[8,4,7,3,1,5,6,2]
[6,2,5,1,3,7,4,8]=>[8,4,7,3,1,5,2,6]
[6,5,2,1,3,7,4,8]=>[8,4,7,3,1,2,5,6]
[7,6,1,2,4,5,3,8]=>[8,3,5,4,2,1,6,7]
[6,7,1,2,8,3,5,4]=>[4,5,3,8,2,1,7,6]
[6,7,1,2,5,4,3,8]=>[8,3,4,5,2,1,7,6]
[5,6,2,1,3,7,4,8]=>[8,4,7,3,1,2,6,5]
[5,2,6,1,3,7,4,8]=>[8,4,7,3,1,6,2,5]
[2,4,6,1,5,3,7,8]=>[8,7,3,5,1,6,4,2]
[4,7,1,3,5,2,6,8]=>[8,6,2,5,3,1,7,4]
[4,7,1,5,3,2,6,8]=>[8,6,2,3,5,1,7,4]
[5,7,1,4,2,6,3,8]=>[8,3,6,2,4,1,7,5]
[5,7,1,6,2,3,8,4]=>[4,8,3,2,6,1,7,5]
[5,6,3,1,2,7,4,8]=>[8,4,7,2,1,3,6,5]
[4,2,5,3,1,6,7,8]=>[8,7,6,1,3,5,2,4]
[5,3,6,1,2,7,4,8]=>[8,4,7,2,1,6,3,5]
[3,4,6,1,5,2,7,8]=>[8,7,2,5,1,6,4,3]
[6,5,1,8,7,3,4,2]=>[2,4,3,7,8,1,5,6]
[8,2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2,8]
[6,8,5,2,3,4,1,7]=>[7,1,4,3,2,5,8,6]
[2,6,8,7,1,5,3,4]=>[4,3,5,1,7,8,6,2]
[8,5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5,8]
[6,5,1,2,7,8,4,3]=>[3,4,8,7,2,1,5,6]
[4,7,6,1,5,3,8,2]=>[2,8,3,5,1,6,7,4]
[5,7,6,4,1,3,8,2]=>[2,8,3,1,4,6,7,5]
[7,6,2,4,5,3,8,1]=>[1,8,3,5,4,2,6,7]
[6,1,7,5,3,8,4,2]=>[2,4,8,3,5,7,1,6]
[8,6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6,8]
[8,5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5,8]
[7,6,1,5,3,8,4,2]=>[2,4,8,3,5,1,6,7]
[5,6,2,4,7,8,1,3]=>[3,1,8,7,4,2,6,5]
[3,4,6,1,7,8,5,2]=>[2,5,8,7,1,6,4,3]
[3,4,8,6,7,1,5,2]=>[2,5,1,7,6,8,4,3]
[4,8,5,6,7,2,3,1]=>[1,3,2,7,6,5,8,4]
[5,8,6,4,1,2,7,3]=>[3,7,2,1,4,6,8,5]
[5,8,6,1,7,2,4,3]=>[3,4,2,7,1,6,8,5]
[5,8,7,3,2,6,4,1]=>[1,4,6,2,3,7,8,5]
[5,8,1,7,2,6,4,3]=>[3,4,6,2,7,1,8,5]
[8,1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1,8]
[8,1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1,8]
[6,8,7,2,5,1,3,4]=>[4,3,1,5,2,7,8,6]
[5,8,7,2,1,6,3,4]=>[4,3,6,1,2,7,8,5]
[4,8,1,5,2,6,7,3]=>[3,7,6,2,5,1,8,4]
[3,7,8,5,1,6,2,4]=>[4,2,6,1,5,8,7,3]
[6,5,2,7,8,1,4,3]=>[3,4,1,8,7,2,5,6]
[7,1,2,8,5,6,3,4]=>[4,3,6,5,8,2,1,7]
[8,7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7,8]
[8,6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6,8]
[6,1,7,8,5,2,3,4]=>[4,3,2,5,8,7,1,6]
[7,5,6,2,1,8,4,3]=>[3,4,8,1,2,6,5,7]
[8,7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7,8]
[7,1,3,5,8,6,2,4]=>[4,2,6,8,5,3,1,7]
[5,1,3,4,6,8,7,2]=>[2,7,8,6,4,3,1,5]
[4,5,3,6,8,2,7,1]=>[1,7,2,8,6,3,5,4]
[5,6,3,4,8,1,7,2]=>[2,7,1,8,4,3,6,5]
[4,6,7,8,5,1,3,2]=>[2,3,1,5,8,7,6,4]
[8,4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4,8]
[8,5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5,8]
[5,1,8,6,3,4,7,2]=>[2,7,4,3,6,8,1,5]
[4,6,8,1,5,3,7,2]=>[2,7,3,5,1,8,6,4]
[6,4,5,8,3,2,7,1]=>[1,7,2,3,8,5,4,6]
[3,6,4,8,7,1,5,2]=>[2,5,1,7,8,4,6,3]
[6,5,8,1,3,4,7,2]=>[2,7,4,3,1,8,5,6]
[5,6,8,3,1,2,7,4]=>[4,7,2,1,3,8,6,5]
[6,1,8,3,5,2,7,4]=>[4,7,2,5,3,8,1,6]
[7,6,8,3,5,2,1,4]=>[4,1,2,5,3,8,6,7]
[8,6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6,8]
[8,7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7,8]
[6,7,8,3,5,1,2,4]=>[4,2,1,5,3,8,7,6]
[3,4,8,1,2,6,7,5]=>[5,7,6,2,1,8,4,3]
[5,8,2,4,3,6,7,1]=>[1,7,6,3,4,2,8,5]
[5,8,2,3,1,6,7,4]=>[4,7,6,1,3,2,8,5]
[6,8,2,3,5,1,7,4]=>[4,7,1,5,3,2,8,6]
[7,8,2,3,5,6,1,4]=>[4,1,6,5,3,2,8,7]
[8,6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6,8]
[2,4,8,6,1,3,7,5]=>[5,7,3,1,6,8,4,2]
[6,7,1,8,4,3,5,2]=>[2,5,3,4,8,1,7,6]
[2,7,8,6,1,4,3,5]=>[5,3,4,1,6,8,7,2]
[2,7,3,8,1,6,4,5]=>[5,4,6,1,8,3,7,2]
[7,5,1,8,2,4,6,3]=>[3,6,4,2,8,1,5,7]
[2,7,8,4,1,6,3,5]=>[5,3,6,1,4,8,7,2]
[2,6,5,4,1,3,8,7]=>[7,8,3,1,4,5,6,2]
[4,1,7,6,3,8,2,5]=>[5,2,8,3,6,7,1,4]
[4,8,2,5,7,6,3,1]=>[1,3,6,7,5,2,8,4]
[3,4,6,5,1,8,2,7]=>[7,2,8,1,5,6,4,3]
[2,6,5,3,4,1,8,7]=>[7,8,1,4,3,5,6,2]
[4,6,1,5,2,3,8,7]=>[7,8,3,2,5,1,6,4]
[6,2,3,5,1,4,8,7]=>[7,8,4,1,5,3,2,6]
[2,6,7,5,1,8,4,3]=>[3,4,8,1,5,7,6,2]
[8,6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6,8]
[6,2,5,1,8,3,4,7]=>[7,4,3,8,1,5,2,6]
[7,6,5,2,8,3,4,1]=>[1,4,3,8,2,5,6,7]
[2,6,3,5,1,8,7,4]=>[4,7,8,1,5,3,6,2]
[2,4,7,6,5,8,1,3]=>[3,1,8,5,6,7,4,2]
[2,1,4,8,7,6,3,5]=>[5,3,6,7,8,4,1,2]
[7,4,6,8,5,3,2,1]=>[1,2,3,5,8,6,4,7]
[8,1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1,8]
[3,2,8,7,5,1,6,4]=>[4,6,1,5,7,8,2,3]
[4,8,5,1,6,7,2,3]=>[3,2,7,6,1,5,8,4]
[3,8,5,1,6,7,2,4]=>[4,2,7,6,1,5,8,3]
[7,8,6,1,3,5,2,4]=>[4,2,5,3,1,6,8,7]
[5,6,7,2,8,1,3,4]=>[4,3,1,8,2,7,6,5]
[2,5,1,8,6,7,4,3]=>[3,4,7,6,8,1,5,2]
[3,5,1,8,6,7,4,2]=>[2,4,7,6,8,1,5,3]
[5,2,3,8,6,7,4,1]=>[1,4,7,6,8,3,2,5]
[8,3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3,8]
[5,1,3,8,6,7,4,2]=>[2,4,7,6,8,3,1,5]
[3,2,5,8,6,7,4,1]=>[1,4,7,6,8,5,2,3]
[6,2,1,5,3,8,7,4]=>[4,7,8,3,5,1,2,6]
[5,6,3,2,8,1,4,7]=>[7,4,1,8,2,3,6,5]
[8,1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1,8]
[8,7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7,8]
[4,7,6,8,3,2,5,1]=>[1,5,2,3,8,6,7,4]
[2,7,5,8,1,3,4,6]=>[6,4,3,1,8,5,7,2]
[7,6,2,8,5,1,4,3]=>[3,4,1,5,8,2,6,7]
[8,1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1,8]
[3,4,8,7,5,1,6,2]=>[2,6,1,5,7,8,4,3]
[6,3,8,1,4,2,5,7]=>[7,5,2,4,1,8,3,6]
[6,3,8,5,7,4,1,2]=>[2,1,4,7,5,8,3,6]
[7,4,6,8,5,1,3,2]=>[2,3,1,5,8,6,4,7]
[2,1,4,8,7,5,6,3]=>[3,6,5,7,8,4,1,2]
[7,1,5,8,2,6,4,3]=>[3,4,6,2,8,5,1,7]
[3,6,8,2,4,1,7,5]=>[5,7,1,4,2,8,6,3]
[4,5,8,2,6,7,3,1]=>[1,3,7,6,2,8,5,4]
[5,2,8,1,6,7,3,4]=>[4,3,7,6,1,8,2,5]
[2,5,8,4,6,7,3,1]=>[1,3,7,6,4,8,5,2]
[5,8,3,4,6,7,2,1]=>[1,2,7,6,4,3,8,5]
[8,4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4,8]
[4,2,8,1,6,7,3,5]=>[5,3,7,6,1,8,2,4]
[2,4,8,1,6,7,3,5]=>[5,3,7,6,1,8,4,2]
[5,1,8,2,6,7,3,4]=>[4,3,7,6,2,8,1,5]
[3,4,8,7,2,1,5,6]=>[6,5,1,2,7,8,4,3]
[7,8,5,3,6,4,2,1]=>[1,2,4,6,3,5,8,7]
[2,8,5,7,4,1,3,6]=>[6,3,1,4,7,5,8,2]
[5,8,4,1,6,7,2,3]=>[3,2,7,6,1,4,8,5]
[3,8,1,4,6,7,2,5]=>[5,2,7,6,4,1,8,3]
[8,2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2,8]
[6,2,7,3,8,4,1,5]=>[5,1,4,8,3,7,2,6]
[7,4,3,2,8,5,1,6]=>[6,1,5,8,2,3,4,7]
[5,3,2,8,4,6,1,7]=>[7,1,6,4,8,2,3,5]
[8,4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4,8]
[7,4,2,5,3,1,6,8]=>[8,6,1,3,5,2,4,7]
[8,3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3,8]
[5,4,8,3,2,6,1,7]=>[7,1,6,2,3,8,4,5]
[3,5,8,2,4,6,1,7]=>[7,1,6,4,2,8,5,3]
[6,4,7,8,2,3,1,5]=>[5,1,3,2,8,7,4,6]
[5,8,3,6,4,2,1,7]=>[7,1,2,4,6,3,8,5]
[4,8,6,2,5,3,1,7]=>[7,1,3,5,2,6,8,4]
[1,6,4,3,2,8,7,5]=>[5,7,8,2,3,4,6,1]
[1,5,3,2,8,4,7,6]=>[6,7,4,8,2,3,5,1]
[5,7,4,3,1,2,6,8]=>[8,6,2,1,3,4,7,5]
[2,8,7,3,5,1,4,6]=>[6,4,1,5,3,7,8,2]
[7,3,8,6,4,1,2,5]=>[5,2,1,4,6,8,3,7]
[6,1,2,7,3,8,5,4]=>[4,5,8,3,7,2,1,6]
[2,1,7,4,3,8,6,5]=>[5,6,8,3,4,7,1,2]
[6,1,4,3,8,2,7,5]=>[5,7,2,8,3,4,1,6]
[5,1,3,2,8,7,4,6]=>[6,4,7,8,2,3,1,5]
[1,8,4,2,7,6,5,3]=>[3,5,6,7,2,4,8,1]
[1,8,3,7,2,6,5,4]=>[4,5,6,2,7,3,8,1]
[5,1,4,8,3,7,2,6]=>[6,2,7,3,8,4,1,5]
[2,1,6,8,5,4,7,3]=>[3,7,4,5,8,6,1,2]
[6,1,5,7,8,2,4,3]=>[3,4,2,8,7,5,1,6]
[8,3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3,8]
[7,4,8,6,1,3,2,5]=>[5,2,3,1,6,8,4,7]
[3,7,6,1,5,2,4,8]=>[8,4,2,5,1,6,7,3]
[1,5,4,8,3,2,7,6]=>[6,7,2,3,8,4,5,1]
[7,3,6,1,2,5,4,8]=>[8,4,5,2,1,6,3,7]
[5,4,7,1,3,2,6,8]=>[8,6,2,3,1,7,4,5]
[5,7,4,8,2,1,3,6]=>[6,3,1,2,8,4,7,5]
[4,6,8,2,5,1,3,7]=>[7,3,1,5,2,8,6,4]
[7,4,6,2,1,5,3,8]=>[8,3,5,1,2,6,4,7]
[1,2,6,3,8,5,7,4]=>[4,7,5,8,3,6,2,1]
[1,5,2,6,8,4,7,3]=>[3,7,4,8,6,2,5,1]
[5,7,2,3,8,1,4,6]=>[6,4,1,8,3,2,7,5]
[6,4,7,5,8,1,2,3]=>[3,2,1,8,5,7,4,6]
[7,4,8,5,1,6,3,2]=>[2,3,6,1,5,8,4,7]
[5,8,3,6,1,7,4,2]=>[2,4,7,1,6,3,8,5]
[8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8]
[7,4,2,1,5,8,6,3]=>[3,6,8,5,1,2,4,7]
[7,6,4,1,8,5,2,3]=>[3,2,5,8,1,4,6,7]
[1,6,4,8,7,5,3,2]=>[2,3,5,7,8,4,6,1]
[6,3,1,2,8,4,7,5]=>[5,7,4,8,2,1,3,6]
[7,5,1,3,2,8,6,4]=>[4,6,8,2,3,1,5,7]
[4,7,1,2,5,8,6,3]=>[3,6,8,5,2,1,7,4]
[6,8,4,1,2,7,5,3]=>[3,5,7,2,1,4,8,6]
[7,5,8,1,2,6,4,3]=>[3,4,6,2,1,8,5,7]
[7,4,8,1,6,3,5,2]=>[2,5,3,6,1,8,4,7]
[5,8,2,1,7,3,6,4]=>[4,6,3,7,1,2,8,5]
[3,6,1,8,2,4,7,5]=>[5,7,4,2,8,1,6,3]
[1,3,8,7,6,2,5,4]=>[4,5,2,6,7,8,3,1]
[5,4,1,8,7,3,2,6]=>[6,2,3,7,8,1,4,5]
[3,5,1,8,7,2,4,6]=>[6,4,2,7,8,1,5,3]
[4,6,1,8,3,7,2,5]=>[5,2,7,3,8,1,6,4]
[4,7,1,2,8,6,3,5]=>[5,3,6,8,2,1,7,4]
[5,8,4,1,7,6,2,3]=>[3,2,6,7,1,4,8,5]
[7,6,8,1,5,4,2,3]=>[3,2,4,5,1,8,6,7]
[8,6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6,8]
[7,1,5,8,6,4,3,2]=>[2,3,4,6,8,5,1,7]
[5,1,8,7,3,6,4,2]=>[2,4,6,3,7,8,1,5]
[4,1,8,7,6,2,5,3]=>[3,5,2,6,7,8,1,4]
[3,1,8,7,6,5,2,4]=>[4,2,5,6,7,8,1,3]
[1,6,4,5,2,3,7,8]=>[8,7,3,2,5,4,6,1]
[1,7,4,5,2,3,6,8]=>[8,6,3,2,5,4,7,1]
[1,7,3,5,2,4,6,8]=>[8,6,4,2,5,3,7,1]
[1,6,3,5,2,4,7,8]=>[8,7,4,2,5,3,6,1]
[1,6,3,4,2,5,7,8]=>[8,7,5,2,4,3,6,1]
[1,7,3,4,2,5,6,8]=>[8,6,5,2,4,3,7,1]
[1,8,6,7,3,4,2,5]=>[5,2,4,3,7,6,8,1]
[1,8,5,7,3,4,2,6]=>[6,2,4,3,7,5,8,1]
[1,7,3,4,2,6,5,8]=>[8,5,6,2,4,3,7,1]
[1,5,2,8,4,7,3,6]=>[6,3,7,4,8,2,5,1]
[1,4,2,8,5,7,3,6]=>[6,3,7,5,8,2,4,1]
[1,7,3,5,2,6,4,8]=>[8,4,6,2,5,3,7,1]
[1,8,4,7,3,5,2,6]=>[6,2,5,3,7,4,8,1]
[1,7,3,6,2,5,4,8]=>[8,4,5,2,6,3,7,1]
[1,7,3,6,2,4,5,8]=>[8,5,4,2,6,3,7,1]
[1,7,4,6,2,3,5,8]=>[8,5,3,2,6,4,7,1]
[1,8,5,6,2,3,4,7]=>[7,4,3,2,6,5,8,1]
[1,8,5,6,2,4,3,7]=>[7,3,4,2,6,5,8,1]
[1,3,2,8,5,6,4,7]=>[7,4,6,5,8,2,3,1]
[1,4,2,8,5,6,3,7]=>[7,3,6,5,8,2,4,1]
[1,5,2,8,4,6,3,7]=>[7,3,6,4,8,2,5,1]
[1,6,2,8,4,5,3,7]=>[7,3,5,4,8,2,6,1]
[8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]
[8,6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6,8]
[1,6,4,7,2,8,3,5]=>[5,3,8,2,7,4,6,1]
[1,4,7,3,5,8,2,6]=>[6,2,8,5,3,7,4,1]
[8,4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4,8]
[5,4,8,2,3,6,1,7]=>[7,1,6,3,2,8,4,5]
[7,4,8,5,2,3,1,6]=>[6,1,3,2,5,8,4,7]
[3,8,6,2,4,5,1,7]=>[7,1,5,4,2,6,8,3]
[4,8,6,2,3,5,1,7]=>[7,1,5,3,2,6,8,4]
[1,7,5,3,4,8,2,6]=>[6,2,8,4,3,5,7,1]
[1,7,6,4,8,2,3,5]=>[5,3,2,8,4,6,7,1]
[5,8,7,4,1,2,3,6]=>[6,3,2,1,4,7,8,5]
[6,8,5,3,4,1,2,7]=>[7,2,1,4,3,5,8,6]
[6,8,3,7,2,1,4,5]=>[5,4,1,2,7,3,8,6]
[8,5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5,8]
[6,1,3,7,4,8,2,5]=>[5,2,8,4,7,3,1,6]
[4,1,7,3,5,8,2,6]=>[6,2,8,5,3,7,1,4]
[7,1,6,4,8,2,3,5]=>[5,3,2,8,4,6,1,7]
[1,8,5,7,2,3,4,6]=>[6,4,3,2,7,5,8,1]
[6,1,5,8,2,3,4,7]=>[7,4,3,2,8,5,1,6]
[5,1,7,3,8,2,4,6]=>[6,4,2,8,3,7,1,5]
[6,1,5,7,8,2,3,4]=>[4,3,2,8,7,5,1,6]
[7,4,8,6,1,2,3,5]=>[5,3,2,1,6,8,4,7]
[3,8,7,5,1,2,4,6]=>[6,4,2,1,5,7,8,3]
[3,7,6,1,2,4,5,8]=>[8,5,4,2,1,6,7,3]
[4,7,6,1,2,3,5,8]=>[8,5,3,2,1,6,7,4]
[1,6,5,8,2,3,4,7]=>[7,4,3,2,8,5,6,1]
[6,5,8,4,1,2,3,7]=>[7,3,2,1,4,8,5,6]
[8,5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5,8]
[1,5,7,4,8,2,3,6]=>[6,3,2,8,4,7,5,1]
[7,6,4,8,2,1,3,5]=>[5,3,1,2,8,4,6,7]
[7,6,2,3,8,1,4,5]=>[5,4,1,8,3,2,6,7]
[7,4,8,5,1,6,2,3]=>[3,2,6,1,5,8,4,7]
[8,6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6,8]
[8,6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6,8]
[1,7,2,8,6,3,4,5]=>[5,4,3,6,8,2,7,1]
[7,6,1,3,8,2,4,5]=>[5,4,2,8,3,1,6,7]
[7,5,8,1,3,6,2,4]=>[4,2,6,3,1,8,5,7]
[5,4,1,8,2,3,6,7]=>[7,6,3,2,8,1,4,5]
[1,4,8,7,2,3,5,6]=>[6,5,3,2,7,8,4,1]
[1,5,8,7,2,3,4,6]=>[6,4,3,2,7,8,5,1]
[6,5,1,8,2,3,4,7]=>[7,4,3,2,8,1,5,6]
[5,7,1,3,8,2,4,6]=>[6,4,2,8,3,1,7,5]
[7,6,8,1,5,2,3,4]=>[4,3,2,5,1,8,6,7]
[7,1,5,8,6,2,3,4]=>[4,3,2,6,8,5,1,7]
[6,1,8,2,7,3,4,5]=>[5,4,3,7,2,8,1,6]
[4,1,8,7,2,3,5,6]=>[6,5,3,2,7,8,1,4]
[5,1,8,7,2,3,4,6]=>[6,4,3,2,7,8,1,5]
[1,8,7,6,4,5,3,2]=>[2,3,5,4,6,7,8,1]
[1,8,7,3,6,5,4,2]=>[2,4,5,6,3,7,8,1]
[7,1,5,8,3,4,2,6]=>[6,2,4,3,8,5,1,7]
[7,1,4,3,2,5,6,8]=>[8,6,5,2,3,4,1,7]
[6,4,2,3,8,5,7,1]=>[1,7,5,8,3,2,4,6]
[6,4,2,7,5,8,3,1]=>[1,3,8,5,7,2,4,6]
[2,4,1,7,5,8,3,6]=>[6,3,8,5,7,1,4,2]
[7,1,4,6,5,2,3,8]=>[8,3,2,5,6,4,1,7]
[7,1,4,6,5,8,2,3]=>[3,2,8,5,6,4,1,7]
[7,1,4,6,3,8,2,5]=>[5,2,8,3,6,4,1,7]
[7,1,4,3,2,5,8,6]=>[6,8,5,2,3,4,1,7]
[7,1,4,6,5,2,8,3]=>[3,8,2,5,6,4,1,7]
[7,1,4,6,5,3,8,2]=>[2,8,3,5,6,4,1,7]
[7,1,4,6,5,3,2,8]=>[8,2,3,5,6,4,1,7]
[6,4,2,7,5,3,8,1]=>[1,8,3,5,7,2,4,6]
[3,4,7,2,6,8,5,1]=>[1,5,8,6,2,7,4,3]
[3,4,7,1,6,8,2,5]=>[5,2,8,6,1,7,4,3]
[3,4,7,1,6,8,5,2]=>[2,5,8,6,1,7,4,3]
[2,4,1,7,5,3,6,8]=>[8,6,3,5,7,1,4,2]
[3,4,1,7,8,6,2,5]=>[5,2,6,8,7,1,4,3]
[6,4,2,3,8,5,1,7]=>[7,1,5,8,3,2,4,6]
[6,4,2,7,5,8,1,3]=>[3,1,8,5,7,2,4,6]
[6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6]
[3,4,7,2,6,8,1,5]=>[5,1,8,6,2,7,4,3]
[5,4,7,3,6,8,2,1]=>[1,2,8,6,3,7,4,5]
[3,4,7,2,6,5,1,8]=>[8,1,5,6,2,7,4,3]
[4,8,3,2,5,6,1,7]=>[7,1,6,5,2,3,8,4]
[4,8,7,3,5,1,2,6]=>[6,2,1,5,3,7,8,4]
[4,8,7,1,3,5,2,6]=>[6,2,5,3,1,7,8,4]
[4,8,3,1,2,6,5,7]=>[7,5,6,2,1,3,8,4]
[3,4,7,1,6,2,5,8]=>[8,5,2,6,1,7,4,3]
[3,4,7,1,6,2,8,5]=>[5,8,2,6,1,7,4,3]
[3,4,7,2,6,5,8,1]=>[1,8,5,6,2,7,4,3]
[4,8,3,1,2,6,7,5]=>[5,7,6,2,1,3,8,4]
[5,8,1,6,3,4,2,7]=>[7,2,4,3,6,1,8,5]
[6,8,5,1,3,7,2,4]=>[4,2,7,3,1,5,8,6]
[6,8,5,1,3,4,7,2]=>[2,7,4,3,1,5,8,6]
[5,8,3,4,2,6,7,1]=>[1,7,6,2,4,3,8,5]
[5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]
[5,4,7,2,6,1,8,3]=>[3,8,1,6,2,7,4,5]
[6,4,3,7,5,1,2,8]=>[8,2,1,5,7,3,4,6]
[6,4,3,7,5,1,8,2]=>[2,8,1,5,7,3,4,6]
[6,2,4,3,1,5,8,7]=>[7,8,5,1,3,4,2,6]
[3,8,7,4,1,5,2,6]=>[6,2,5,1,4,7,8,3]
[2,4,7,3,6,1,5,8]=>[8,5,1,6,3,7,4,2]
[5,8,3,2,1,6,4,7]=>[7,4,6,1,2,3,8,5]
[5,8,7,4,3,1,2,6]=>[6,2,1,3,4,7,8,5]
[5,4,7,3,6,2,1,8]=>[8,1,2,6,3,7,4,5]
[7,3,8,2,1,6,5,4]=>[4,5,6,1,2,8,3,7]
[7,4,3,8,5,2,1,6]=>[6,1,2,5,8,3,4,7]
[6,5,2,8,4,3,1,7]=>[7,1,3,4,8,2,5,6]
[4,3,2,8,6,5,1,7]=>[7,1,5,6,8,2,3,4]
[4,3,8,7,5,1,6,2]=>[2,6,1,5,7,8,3,4]
[3,2,5,8,6,1,4,7]=>[7,4,1,6,8,5,2,3]
[8,4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4,8]
[4,3,7,8,5,1,2,6]=>[6,2,1,5,8,7,3,4]
[5,3,7,8,4,1,2,6]=>[6,2,1,4,8,7,3,5]
[6,2,5,8,3,1,4,7]=>[7,4,1,3,8,5,2,6]
[6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]
[5,2,3,8,4,1,6,7]=>[7,6,1,4,8,3,2,5]
[5,3,8,7,4,1,6,2]=>[2,6,1,4,7,8,3,5]
[5,3,2,8,6,4,1,7]=>[7,1,4,6,8,2,3,5]
[7,5,3,8,4,2,1,6]=>[6,1,2,4,8,3,5,7]
[8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]
[8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]
[7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]
[6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]
[7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]
[7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]
[8,5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5,8]
[7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]
[8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]
[8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]
[8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]
[7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]
[6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]
[6,5,8,3,4,2,7,1]=>[1,7,2,4,3,8,5,6]
[7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]
[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]
[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]
[7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]
[6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]
[6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]
[5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]
[6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]
[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]
[6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]
[6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]
[5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]
[5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]
[5,3,6,2,4,7,8,1]=>[1,8,7,4,2,6,3,5]
[5,3,6,1,4,8,7,2]=>[2,7,8,4,1,6,3,5]
[5,3,7,2,4,6,8,1]=>[1,8,6,4,2,7,3,5]
[4,3,1,5,6,8,7,2]=>[2,7,8,6,5,1,3,4]
[4,2,1,5,8,6,3,7]=>[7,3,6,8,5,1,2,4]
[4,2,1,5,8,6,7,3]=>[3,7,6,8,5,1,2,4]
[4,2,1,5,8,7,6,3]=>[3,6,7,8,5,1,2,4]
[4,3,1,5,7,8,6,2]=>[2,6,8,7,5,1,3,4]
[4,3,1,7,5,8,6,2]=>[2,6,8,5,7,1,3,4]
[6,7,3,1,4,8,2,5]=>[5,2,8,4,1,3,7,6]
[5,3,7,1,4,8,2,6]=>[6,2,8,4,1,7,3,5]
[4,3,1,5,7,8,2,6]=>[6,2,8,7,5,1,3,4]
[3,2,1,8,5,4,6,7]=>[7,6,4,5,8,1,2,3]
[3,2,1,8,5,7,4,6]=>[6,4,7,5,8,1,2,3]
[3,2,1,8,7,5,4,6]=>[6,4,5,7,8,1,2,3]
[5,2,7,1,8,4,3,6]=>[6,3,4,8,1,7,2,5]
[6,7,2,1,8,4,3,5]=>[5,3,4,8,1,2,7,6]
[6,7,2,1,8,4,5,3]=>[3,5,4,8,1,2,7,6]
[3,2,1,8,5,6,4,7]=>[7,4,6,5,8,1,2,3]
[3,2,1,8,6,5,4,7]=>[7,4,5,6,8,1,2,3]
[4,3,1,6,7,8,5,2]=>[2,5,8,7,6,1,3,4]
[4,2,1,6,8,7,5,3]=>[3,5,7,8,6,1,2,4]
[4,2,1,6,8,5,3,7]=>[7,3,5,8,6,1,2,4]
[5,2,6,1,8,4,3,7]=>[7,3,4,8,1,6,2,5]
[5,2,6,1,8,7,4,3]=>[3,4,7,8,1,6,2,5]
[5,2,6,1,8,7,3,4]=>[4,3,7,8,1,6,2,5]
[5,2,6,1,8,3,4,7]=>[7,4,3,8,1,6,2,5]
[4,2,1,6,8,3,7,5]=>[5,7,3,8,6,1,2,4]
[4,3,1,6,7,8,2,5]=>[5,2,8,7,6,1,3,4]
[6,7,3,1,5,8,2,4]=>[4,2,8,5,1,3,7,6]
[4,2,1,7,8,6,3,5]=>[5,3,6,8,7,1,2,4]
[3,2,1,8,7,6,4,5]=>[5,4,6,7,8,1,2,3]
[3,2,1,8,6,4,7,5]=>[5,7,4,6,8,1,2,3]
[3,2,1,8,6,4,5,7]=>[7,5,4,6,8,1,2,3]
[3,2,1,8,4,6,5,7]=>[7,5,6,4,8,1,2,3]
[3,2,1,8,4,6,7,5]=>[5,7,6,4,8,1,2,3]
[3,2,1,8,4,7,6,5]=>[5,6,7,4,8,1,2,3]
[3,2,1,8,7,4,6,5]=>[5,6,4,7,8,1,2,3]
[4,2,1,7,8,3,6,5]=>[5,6,3,8,7,1,2,4]
[5,2,7,1,8,3,6,4]=>[4,6,3,8,1,7,2,5]
[6,7,2,1,8,3,5,4]=>[4,5,3,8,1,2,7,6]
[5,2,7,1,8,3,4,6]=>[6,4,3,8,1,7,2,5]
[4,2,1,7,8,3,5,6]=>[6,5,3,8,7,1,2,4]
[3,2,1,8,4,5,7,6]=>[6,7,5,4,8,1,2,3]
[7,5,2,8,6,3,4,1]=>[1,4,3,6,8,2,5,7]
[7,4,8,6,2,5,3,1]=>[1,3,5,2,6,8,4,7]
[7,3,8,6,2,4,5,1]=>[1,5,4,2,6,8,3,7]
[7,4,3,1,8,2,5,6]=>[6,5,2,8,1,3,4,7]
[7,4,2,8,5,6,1,3]=>[3,1,6,5,8,2,4,7]
[7,3,8,5,2,4,6,1]=>[1,6,4,2,5,8,3,7]
[7,3,8,4,5,6,2,1]=>[1,2,6,5,4,8,3,7]
[6,3,8,2,4,5,1,7]=>[7,1,5,4,2,8,3,6]
[6,3,8,2,5,7,4,1]=>[1,4,7,5,2,8,3,6]
[6,4,3,8,1,5,2,7]=>[7,2,5,1,8,3,4,6]
[6,3,7,8,2,4,1,5]=>[5,1,4,2,8,7,3,6]
[5,6,7,3,8,2,4,1]=>[1,4,2,8,3,7,6,5]
[5,4,7,2,6,8,1,3]=>[3,1,8,6,2,7,4,5]
[5,3,8,2,4,6,7,1]=>[1,7,6,4,2,8,3,5]
[6,3,8,2,4,7,5,1]=>[1,5,7,4,2,8,3,6]
[5,7,4,2,6,8,1,3]=>[3,1,8,6,2,4,7,5]
[6,4,8,2,7,5,1,3]=>[3,1,5,7,2,8,4,6]
[6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]
[5,7,4,2,6,1,3,8]=>[8,3,1,6,2,4,7,5]
[5,6,4,2,3,8,1,7]=>[7,1,8,3,2,4,6,5]
[5,6,3,7,8,2,4,1]=>[1,4,2,8,7,3,6,5]
[5,6,3,8,2,4,7,1]=>[1,7,4,2,8,3,6,5]
[6,3,7,2,4,5,1,8]=>[8,1,5,4,2,7,3,6]
[6,3,7,2,5,8,4,1]=>[1,4,8,5,2,7,3,6]
[5,3,6,8,2,4,7,1]=>[1,7,4,2,8,6,3,5]
[5,3,6,7,8,2,4,1]=>[1,4,2,8,7,6,3,5]
[3,6,4,2,1,5,8,7]=>[7,8,5,1,2,4,6,3]
[3,5,8,6,4,2,1,7]=>[7,1,2,4,6,8,5,3]
[5,8,6,3,4,2,1,7]=>[7,1,2,4,3,6,8,5]
[5,6,3,4,2,1,8,7]=>[7,8,1,2,4,3,6,5]
[6,3,4,2,1,5,8,7]=>[7,8,5,1,2,4,3,6]
[5,6,4,2,1,3,8,7]=>[7,8,3,1,2,4,6,5]
[2,5,4,1,7,8,6,3]=>[3,6,8,7,1,4,5,2]
[2,7,8,5,4,1,6,3]=>[3,6,1,4,5,8,7,2]
[2,8,5,4,1,6,3,7]=>[7,3,6,1,4,5,8,2]
[2,6,3,8,5,4,1,7]=>[7,1,4,5,8,3,6,2]
[2,8,6,3,5,4,1,7]=>[7,1,4,5,3,6,8,2]
[5,8,6,4,2,1,3,7]=>[7,3,1,2,4,6,8,5]
[4,2,1,5,7,8,6,3]=>[3,6,8,7,5,1,2,4]
[2,7,8,6,3,5,4,1]=>[1,4,5,3,6,8,7,2]
[4,3,8,5,7,6,2,1]=>[1,2,6,7,5,8,3,4]
[7,6,2,1,8,4,3,5]=>[5,3,4,8,1,2,6,7]
[2,1,8,5,6,4,3,7]=>[7,3,4,6,5,8,1,2]
[4,2,1,8,5,6,3,7]=>[7,3,6,5,8,1,2,4]
[8,4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4,8]
[2,5,6,3,8,4,1,7]=>[7,1,4,8,3,6,5,2]
[6,3,4,2,1,8,5,7]=>[7,5,8,1,2,4,3,6]
[3,7,8,5,6,4,2,1]=>[1,2,4,6,5,8,7,3]
[3,8,5,6,4,2,1,7]=>[7,1,2,4,6,5,8,3]
[3,6,4,2,1,8,5,7]=>[7,5,8,1,2,4,6,3]
[3,8,6,4,2,1,5,7]=>[7,5,1,2,4,6,8,3]
[3,7,8,6,4,2,1,5]=>[5,1,2,4,6,8,7,3]
[8,5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5,8]
[7,6,2,4,1,8,5,3]=>[3,5,8,1,4,2,6,7]
[8,5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5,8]
[7,6,2,3,8,5,4,1]=>[1,4,5,8,3,2,6,7]
[2,1,7,8,6,4,3,5]=>[5,3,4,6,8,7,1,2]
[2,1,6,4,3,7,8,5]=>[5,8,7,3,4,6,1,2]
[6,4,2,1,3,7,8,5]=>[5,8,7,3,1,2,4,6]
[6,3,7,8,4,2,1,5]=>[5,1,2,4,8,7,3,6]
[7,8,4,2,1,6,3,5]=>[5,3,6,1,2,4,8,7]
[5,7,6,2,3,8,4,1]=>[1,4,8,3,2,6,7,5]
[2,6,1,8,4,3,7,5]=>[5,7,3,4,8,1,6,2]
[2,6,1,7,5,8,4,3]=>[3,4,8,5,7,1,6,2]
[8,4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4,8]
[8,5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5,8]
[4,8,5,7,6,2,1,3]=>[3,1,2,6,7,5,8,4]
[4,7,6,2,1,3,8,5]=>[5,8,3,1,2,6,7,4]
[7,5,6,1,8,4,2,3]=>[3,2,4,8,1,6,5,7]
[2,7,5,8,4,3,6,1]=>[1,6,3,4,8,5,7,2]
[2,8,4,3,6,1,7,5]=>[5,7,1,6,3,4,8,2]
[6,4,7,8,3,2,1,5]=>[5,1,2,3,8,7,4,6]
[6,4,3,7,5,2,1,8]=>[8,1,2,5,7,3,4,6]
[6,5,3,2,8,4,1,7]=>[7,1,4,8,2,3,5,6]
[6,5,2,7,8,4,1,3]=>[3,1,4,8,7,2,5,6]
[6,4,3,2,5,8,1,7]=>[7,1,8,5,2,3,4,6]
[6,3,7,2,5,4,1,8]=>[8,1,4,5,2,7,3,6]
[6,3,2,7,5,4,1,8]=>[8,1,4,5,7,2,3,6]
[8,4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4,8]
[1,5,3,7,4,2,8,6]=>[6,8,2,4,7,3,5,1]
[1,6,7,3,4,2,8,5]=>[5,8,2,4,3,7,6,1]
[8,6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6,8]
[1,7,6,3,4,2,8,5]=>[5,8,2,4,3,6,7,1]
[1,8,6,3,2,5,7,4]=>[4,7,5,2,3,6,8,1]
[8,7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7,8]
[7,8,5,2,1,4,6,3]=>[3,6,4,1,2,5,8,7]
[6,8,5,2,3,1,7,4]=>[4,7,1,3,2,5,8,6]
[5,8,6,2,3,1,7,4]=>[4,7,1,3,2,6,8,5]
[4,8,2,6,3,1,7,5]=>[5,7,1,3,6,2,8,4]
[3,2,8,6,4,1,7,5]=>[5,7,1,4,6,8,2,3]
[3,2,1,7,5,4,8,6]=>[6,8,4,5,7,1,2,3]
[4,1,3,7,5,2,8,6]=>[6,8,2,5,7,3,1,4]
[5,1,7,3,4,2,8,6]=>[6,8,2,4,3,7,1,5]
[7,1,6,3,2,5,8,4]=>[4,8,5,2,3,6,1,7]
[1,2,7,4,3,6,8,5]=>[5,8,6,3,4,7,2,1]
[6,1,8,2,4,5,7,3]=>[3,7,5,4,2,8,1,6]
[5,1,8,3,2,6,7,4]=>[4,7,6,2,3,8,1,5]
[3,2,8,7,1,5,6,4]=>[4,6,5,1,7,8,2,3]
[4,8,2,7,1,5,6,3]=>[3,6,5,1,7,2,8,4]
[5,8,7,2,1,4,6,3]=>[3,6,4,1,2,7,8,5]
[6,8,7,1,3,4,5,2]=>[2,5,4,3,1,7,8,6]
[7,8,6,1,3,4,5,2]=>[2,5,4,3,1,6,8,7]
[1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1]
[8,6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6,8]
[7,6,8,1,3,4,5,2]=>[2,5,4,3,1,8,6,7]
[6,5,8,2,3,1,7,4]=>[4,7,1,3,2,8,5,6]
[1,6,8,3,2,5,7,4]=>[4,7,5,2,3,8,6,1]
[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]
[8,4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4,8]
[7,4,2,8,1,5,6,3]=>[3,6,5,1,8,2,4,7]
[6,4,2,8,3,1,7,5]=>[5,7,1,3,8,2,4,6]
[5,4,2,3,8,1,7,6]=>[6,7,1,8,3,2,4,5]
[4,5,2,3,1,6,8,7]=>[7,8,6,1,3,2,5,4]
[7,4,2,1,3,6,8,5]=>[5,8,6,3,1,2,4,7]
[8,4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4,8]
[1,5,3,2,4,7,8,6]=>[6,8,7,4,2,3,5,1]
[8,5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5,8]
[5,6,1,3,4,2,8,7]=>[7,8,2,4,3,1,6,5]
[4,6,2,1,5,3,8,7]=>[7,8,3,5,1,2,6,4]
[4,7,2,1,3,6,8,5]=>[5,8,6,3,1,2,7,4]
[5,7,1,3,2,6,8,4]=>[4,8,6,2,3,1,7,5]
[6,7,1,2,4,5,8,3]=>[3,8,5,4,2,1,7,6]
[8,6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6,8]
[1,8,2,3,5,6,7,4]=>[4,7,6,5,3,2,8,1]
[8,7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7,8]
[7,8,1,2,4,5,6,3]=>[3,6,5,4,2,1,8,7]
[5,8,1,3,2,6,7,4]=>[4,7,6,2,3,1,8,5]
[4,8,2,1,3,6,7,5]=>[5,7,6,3,1,2,8,4]
[4,1,3,2,5,7,8,6]=>[6,8,7,5,2,3,1,4]
[5,1,2,4,3,7,8,6]=>[6,8,7,3,4,2,1,5]
[5,4,8,1,2,3,7,6]=>[6,7,3,2,1,8,4,5]
[1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]
[4,8,3,2,7,6,1,5]=>[5,1,6,7,2,3,8,4]
[4,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,4]
[1,4,7,3,6,2,5,8]=>[8,5,2,6,3,7,4,1]
[4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]
[4,1,8,3,7,2,5,6]=>[6,5,2,7,3,8,1,4]
[4,1,8,7,3,2,5,6]=>[6,5,2,3,7,8,1,4]
[4,7,8,1,2,5,3,6]=>[6,3,5,2,1,8,7,4]
[3,4,7,6,2,1,8,5]=>[5,8,1,2,6,7,4,3]
[3,4,2,7,1,6,8,5]=>[5,8,6,1,7,2,4,3]
[2,3,6,7,4,1,8,5]=>[5,8,1,4,7,6,3,2]
[2,6,3,4,7,8,1,5]=>[5,1,8,7,4,3,6,2]
[2,6,7,8,3,4,1,5]=>[5,1,4,3,8,7,6,2]
[3,1,7,8,4,2,5,6]=>[6,5,2,4,8,7,1,3]
[4,1,3,2,8,7,5,6]=>[6,5,7,8,2,3,1,4]
[3,7,8,2,6,4,1,5]=>[5,1,4,6,2,8,7,3]
[4,2,3,8,1,6,7,5]=>[5,7,6,1,8,3,2,4]
[4,3,1,8,2,5,7,6]=>[6,7,5,2,8,1,3,4]
[1,3,6,7,4,2,5,8]=>[8,5,2,4,7,6,3,1]
[3,2,7,8,4,1,6,5]=>[5,6,1,4,8,7,2,3]
[4,2,8,6,3,1,7,5]=>[5,7,1,3,6,8,2,4]
[3,7,2,4,8,6,1,5]=>[5,1,6,8,4,2,7,3]
[3,2,7,4,8,1,6,5]=>[5,6,1,8,4,7,2,3]
[1,3,6,4,7,2,5,8]=>[8,5,2,7,4,6,3,1]
[3,2,4,7,1,8,6,5]=>[5,6,8,1,7,4,2,3]
[3,7,4,2,6,8,1,5]=>[5,1,8,6,2,4,7,3]
[3,7,4,6,2,8,1,5]=>[5,1,8,2,6,4,7,3]
[4,7,1,5,8,2,3,6]=>[6,3,2,8,5,1,7,4]
[3,7,6,4,8,2,1,5]=>[5,1,2,8,4,6,7,3]
[3,1,7,4,8,2,5,6]=>[6,5,2,8,4,7,1,3]
[2,6,7,3,8,4,1,5]=>[5,1,4,8,3,7,6,2]
[2,3,6,4,7,1,8,5]=>[5,8,1,7,4,6,3,2]
[8,7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7,8]
[8,6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6,8]
[7,4,8,5,6,3,2,1]=>[1,2,3,6,5,8,4,7]
[3,4,6,7,8,5,1,2]=>[2,1,5,8,7,6,4,3]
[1,2,6,4,7,5,8,3]=>[3,8,5,7,4,6,2,1]
[3,1,7,5,4,2,6,8]=>[8,6,2,4,5,7,1,3]
[6,3,8,5,4,7,1,2]=>[2,1,7,4,5,8,3,6]
[1,6,2,5,4,7,8,3]=>[3,8,7,4,5,2,6,1]
[1,8,2,5,6,3,7,4]=>[4,7,3,6,5,2,8,1]
[1,2,6,4,8,5,7,3]=>[3,7,5,8,4,6,2,1]
[7,8,3,1,4,2,5,6]=>[6,5,2,4,1,3,8,7]
[4,8,1,5,2,3,6,7]=>[7,6,3,2,5,1,8,4]
[7,4,1,5,2,3,6,8]=>[8,6,3,2,5,1,4,7]
[5,6,1,8,4,3,2,7]=>[7,2,3,4,8,1,6,5]
[5,1,8,6,4,3,2,7]=>[7,2,3,4,6,8,1,5]
[5,1,6,3,8,7,2,4]=>[4,2,7,8,3,6,1,5]
[6,1,2,5,8,3,7,4]=>[4,7,3,8,5,2,1,6]
[6,1,8,7,4,3,2,5]=>[5,2,3,4,7,8,1,6]
[7,1,2,5,4,8,6,3]=>[3,6,8,4,5,2,1,7]
[1,2,7,5,8,3,6,4]=>[4,6,3,8,5,7,2,1]
[4,1,6,3,7,5,2,8]=>[8,2,5,7,3,6,1,4]
[1,3,6,7,8,5,2,4]=>[4,2,5,8,7,6,3,1]
[1,2,6,4,7,8,5,3]=>[3,5,8,7,4,6,2,1]
[4,1,6,3,7,8,2,5]=>[5,2,8,7,3,6,1,4]
[3,1,6,4,8,2,7,5]=>[5,7,2,8,4,6,1,3]
[7,8,4,1,6,3,2,5]=>[5,2,3,6,1,4,8,7]
[4,1,6,3,8,7,2,5]=>[5,2,7,8,3,6,1,4]
[7,5,1,8,4,3,2,6]=>[6,2,3,4,8,1,5,7]
[6,5,1,7,4,3,2,8]=>[8,2,3,4,7,1,5,6]
[4,1,8,5,2,3,7,6]=>[6,7,3,2,5,8,1,4]
[4,1,6,8,3,7,2,5]=>[5,2,7,3,8,6,1,4]
[5,4,6,1,3,8,2,7]=>[7,2,8,3,1,6,4,5]
[6,5,8,1,4,3,2,7]=>[7,2,3,4,1,8,5,6]
[1,3,5,7,6,8,2,4]=>[4,2,8,6,7,5,3,1]
[1,3,5,7,6,2,8,4]=>[4,8,2,6,7,5,3,1]
[1,3,5,7,2,6,8,4]=>[4,8,6,2,7,5,3,1]
[1,3,5,2,7,6,4,8]=>[8,4,6,7,2,5,3,1]
[1,3,5,7,6,2,4,8]=>[8,4,2,6,7,5,3,1]
[1,3,5,7,4,6,8,2]=>[2,8,6,4,7,5,3,1]
[1,3,5,7,4,6,2,8]=>[8,2,6,4,7,5,3,1]
[1,3,5,7,4,2,6,8]=>[8,6,2,4,7,5,3,1]
[1,3,5,4,7,2,6,8]=>[8,6,2,7,4,5,3,1]
[1,3,5,4,7,8,2,6]=>[6,2,8,7,4,5,3,1]
[1,3,5,4,7,2,8,6]=>[6,8,2,7,4,5,3,1]
[1,3,5,7,4,2,8,6]=>[6,8,2,4,7,5,3,1]
[1,3,5,7,4,8,2,6]=>[6,2,8,4,7,5,3,1]
[1,3,5,7,4,8,6,2]=>[2,6,8,4,7,5,3,1]
[1,3,5,7,8,4,6,2]=>[2,6,4,8,7,5,3,1]
[1,3,5,7,8,4,2,6]=>[6,2,4,8,7,5,3,1]
[1,3,5,2,7,8,6,4]=>[4,6,8,7,2,5,3,1]
[1,3,5,7,2,8,6,4]=>[4,6,8,2,7,5,3,1]
[1,3,5,7,8,2,6,4]=>[4,6,2,8,7,5,3,1]
[1,6,3,2,7,4,8,5]=>[5,8,4,7,2,3,6,1]
[3,5,1,6,2,8,7,4]=>[4,7,8,2,6,1,5,3]
[1,3,7,2,5,4,8,6]=>[6,8,4,5,2,7,3,1]
[2,6,1,7,4,3,8,5]=>[5,8,3,4,7,1,6,2]
[1,4,7,3,5,2,8,6]=>[6,8,2,5,3,7,4,1]
[1,3,7,5,2,4,8,6]=>[6,8,4,2,5,7,3,1]
[2,5,7,4,3,8,1,6]=>[6,1,8,3,4,7,5,2]
[2,5,3,7,4,8,1,6]=>[6,1,8,4,7,3,5,2]
[1,4,7,2,3,8,6,5]=>[5,6,8,3,2,7,4,1]
[2,4,7,3,1,8,6,5]=>[5,6,8,1,3,7,4,2]
[1,4,6,3,8,2,7,5]=>[5,7,2,8,3,6,4,1]
[1,3,5,2,8,7,6,4]=>[4,6,7,8,2,5,3,1]
[1,4,7,3,8,2,6,5]=>[5,6,2,8,3,7,4,1]
[2,5,1,7,8,4,6,3]=>[3,6,4,8,7,1,5,2]
[3,2,6,7,8,1,5,4]=>[4,5,1,8,7,6,2,3]
[4,3,6,7,8,2,1,5]=>[5,1,2,8,7,6,3,4]
[3,5,2,7,8,4,1,6]=>[6,1,4,8,7,2,5,3]
[1,5,7,4,8,3,2,6]=>[6,2,3,8,4,7,5,1]
[2,5,1,6,8,4,7,3]=>[3,7,4,8,6,1,5,2]
[4,6,2,1,7,8,3,5]=>[5,3,8,7,1,2,6,4]
[5,3,6,4,7,8,2,1]=>[1,2,8,7,4,6,3,5]
[3,5,2,6,8,4,7,1]=>[1,7,4,8,6,2,5,3]
[2,5,4,6,8,7,1,3]=>[3,1,7,8,6,4,5,2]
[1,3,6,2,8,7,5,4]=>[4,5,7,8,2,6,3,1]
[1,4,6,3,8,7,2,5]=>[5,2,7,8,3,6,4,1]
[2,5,7,4,3,8,6,1]=>[1,6,8,3,4,7,5,2]
[1,5,7,2,4,8,6,3]=>[3,6,8,4,2,7,5,1]
[4,6,3,7,2,8,5,1]=>[1,5,8,2,7,3,6,4]
[4,3,6,7,8,2,5,1]=>[1,5,2,8,7,6,3,4]
[1,4,7,3,8,6,2,5]=>[5,2,6,8,3,7,4,1]
[2,5,4,7,8,6,1,3]=>[3,1,6,8,7,4,5,2]
[3,2,6,7,8,5,1,4]=>[4,1,5,8,7,6,2,3]
[1,3,7,2,8,6,5,4]=>[4,5,6,8,2,7,3,1]
[5,1,6,8,2,4,3,7]=>[7,3,4,2,8,6,1,5]
[5,3,7,8,2,4,1,6]=>[6,1,4,2,8,7,3,5]
[8,5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5,8]
[8,2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2,8]
[2,4,7,8,3,1,5,6]=>[6,5,1,3,8,7,4,2]
[6,3,1,5,8,2,4,7]=>[7,4,2,8,5,1,3,6]
[6,5,3,4,2,8,1,7]=>[7,1,8,2,4,3,5,6]
[5,2,4,3,8,1,6,7]=>[7,6,1,8,3,4,2,5]
[3,2,4,8,1,5,6,7]=>[7,6,5,1,8,4,2,3]
[3,2,4,6,8,1,5,7]=>[7,5,1,8,6,4,2,3]
[8,1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1,8]
[8,4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4,8]
[4,6,7,8,2,3,1,5]=>[5,1,3,2,8,7,6,4]
[7,4,6,8,2,3,1,5]=>[5,1,3,2,8,6,4,7]
[7,2,4,8,3,1,5,6]=>[6,5,1,3,8,4,2,7]
[5,3,8,7,2,4,1,6]=>[6,1,4,2,7,8,3,5]
[2,4,8,7,3,1,5,6]=>[6,5,1,3,7,8,4,2]
[4,6,8,7,2,3,1,5]=>[5,1,3,2,7,8,6,4]
[8,7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7,8]
[5,6,8,7,2,3,1,4]=>[4,1,3,2,7,8,6,5]
[6,4,8,7,2,3,1,5]=>[5,1,3,2,7,8,4,6]
[3,1,7,4,2,8,6,5]=>[5,6,8,2,4,7,1,3]
[3,2,8,4,1,7,6,5]=>[5,6,7,1,4,8,2,3]
[7,6,4,8,2,3,1,5]=>[5,1,3,2,8,4,6,7]
[5,7,6,8,2,3,1,4]=>[4,1,3,2,8,6,7,5]
[4,7,6,8,2,3,1,5]=>[5,1,3,2,8,6,7,4]
[8,6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6,8]
[8,2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2,8]
[2,3,7,8,4,1,6,5]=>[5,6,1,4,8,7,3,2]
[3,7,4,8,2,5,1,6]=>[6,1,5,2,8,4,7,3]
[2,3,7,4,1,6,8,5]=>[5,8,6,1,4,7,3,2]
[8,1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1,8]
[4,7,8,6,2,3,1,5]=>[5,1,3,2,6,8,7,4]
[2,4,7,3,1,5,8,6]=>[6,8,5,1,3,7,4,2]
[6,3,1,7,4,2,8,5]=>[5,8,2,4,7,1,3,6]
[8,5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5,8]
[7,5,8,6,2,3,1,4]=>[4,1,3,2,6,8,5,7]
[7,1,6,4,2,3,8,5]=>[5,8,3,2,4,6,1,7]
[3,1,7,6,4,2,8,5]=>[5,8,2,4,6,7,1,3]
[4,8,7,6,2,3,1,5]=>[5,1,3,2,6,7,8,4]
[6,8,7,5,2,3,1,4]=>[4,1,3,2,5,7,8,6]
[4,3,6,1,5,8,7,2]=>[2,7,8,5,1,6,3,4]
[4,3,6,5,1,8,7,2]=>[2,7,8,1,5,6,3,4]
[4,6,3,5,1,8,7,2]=>[2,7,8,1,5,3,6,4]
[4,6,3,1,5,8,7,2]=>[2,7,8,5,1,3,6,4]
[4,1,6,5,3,8,7,2]=>[2,7,8,3,5,6,1,4]
[4,6,1,5,3,8,7,2]=>[2,7,8,3,5,1,6,4]
[2,6,5,3,1,8,7,4]=>[4,7,8,1,3,5,6,2]
[2,6,5,1,8,7,3,4]=>[4,3,7,8,1,5,6,2]
[2,6,5,8,1,7,3,4]=>[4,3,7,1,8,5,6,2]
[2,6,5,8,1,3,7,4]=>[4,7,3,1,8,5,6,2]
[2,6,5,8,3,1,7,4]=>[4,7,1,3,8,5,6,2]
[2,6,5,3,8,1,7,4]=>[4,7,1,8,3,5,6,2]
[4,6,1,5,8,3,7,2]=>[2,7,3,8,5,1,6,4]
[4,1,6,5,8,3,7,2]=>[2,7,3,8,5,6,1,4]
[1,4,6,5,8,3,7,2]=>[2,7,3,8,5,6,4,1]
[4,1,6,5,8,7,3,2]=>[2,3,7,8,5,6,1,4]
[2,6,5,3,8,7,1,4]=>[4,1,7,8,3,5,6,2]
[6,4,3,8,7,1,5,2]=>[2,5,1,7,8,3,4,6]
[6,4,8,3,7,1,5,2]=>[2,5,1,7,3,8,4,6]
[2,6,8,5,3,7,1,4]=>[4,1,7,3,5,8,6,2]
[4,6,8,1,5,7,3,2]=>[2,3,7,5,1,8,6,4]
[4,6,1,8,5,7,3,2]=>[2,3,7,5,8,1,6,4]
[4,1,6,8,5,7,3,2]=>[2,3,7,5,8,6,1,4]
[1,4,6,8,5,7,3,2]=>[2,3,7,5,8,6,4,1]
[1,4,6,8,5,3,7,2]=>[2,7,3,5,8,6,4,1]
[4,6,1,8,5,3,7,2]=>[2,7,3,5,8,1,6,4]
[2,6,8,5,3,1,7,4]=>[4,7,1,3,5,8,6,2]
[2,6,8,5,1,7,3,4]=>[4,3,7,1,5,8,6,2]
[4,6,8,3,5,1,7,2]=>[2,7,1,5,3,8,6,4]
[4,6,8,3,1,5,7,2]=>[2,7,5,1,3,8,6,4]
[4,6,3,1,8,5,7,2]=>[2,7,5,8,1,3,6,4]
[4,6,3,8,1,5,7,2]=>[2,7,5,1,8,3,6,4]
[4,6,3,8,5,7,1,2]=>[2,1,7,5,8,3,6,4]
[4,3,6,8,1,5,7,2]=>[2,7,5,1,8,6,3,4]
[4,3,6,1,8,5,7,2]=>[2,7,5,8,1,6,3,4]
[4,3,1,6,8,5,7,2]=>[2,7,5,8,6,1,3,4]
[4,1,3,6,8,7,5,2]=>[2,5,7,8,6,3,1,4]
[4,3,6,1,8,7,5,2]=>[2,5,7,8,1,6,3,4]
[4,3,6,8,1,7,5,2]=>[2,5,7,1,8,6,3,4]
[6,5,2,8,7,3,1,4]=>[4,1,3,7,8,2,5,6]
[6,5,2,8,7,1,3,4]=>[4,3,1,7,8,2,5,6]
[6,2,5,8,7,1,3,4]=>[4,3,1,7,8,5,2,6]
[6,2,5,8,7,3,1,4]=>[4,1,3,7,8,5,2,6]
[4,6,3,8,1,7,5,2]=>[2,5,7,1,8,3,6,4]
[4,6,3,1,8,7,5,2]=>[2,5,7,8,1,3,6,4]
[4,1,6,3,8,7,5,2]=>[2,5,7,8,3,6,1,4]
[1,4,6,3,8,7,5,2]=>[2,5,7,8,3,6,4,1]
[4,1,6,8,3,7,5,2]=>[2,5,7,3,8,6,1,4]
[4,6,1,8,3,7,5,2]=>[2,5,7,3,8,1,6,4]
[4,6,8,1,3,7,5,2]=>[2,5,7,3,1,8,6,4]
[6,2,8,5,7,3,1,4]=>[4,1,3,7,5,8,2,6]
[6,2,8,5,7,1,3,4]=>[4,3,1,7,5,8,2,6]
[2,4,8,7,1,5,3,6]=>[6,3,5,1,7,8,4,2]
[4,2,8,7,5,3,1,6]=>[6,1,3,5,7,8,2,4]
[6,4,1,8,7,5,3,2]=>[2,3,5,7,8,1,4,6]
[6,1,4,8,7,5,3,2]=>[2,3,5,7,8,4,1,6]
[1,6,4,8,7,3,5,2]=>[2,5,3,7,8,4,6,1]
[6,4,1,8,7,3,5,2]=>[2,5,3,7,8,1,4,6]
[4,2,8,7,5,1,3,6]=>[6,3,1,5,7,8,2,4]
[2,4,8,7,3,5,1,6]=>[6,1,5,3,7,8,4,2]
[2,3,4,7,1,8,6,5]=>[5,6,8,1,7,4,3,2]
[2,3,4,7,8,5,6,1]=>[1,6,5,8,7,4,3,2]
[2,3,6,7,4,8,5,1]=>[1,5,8,4,7,6,3,2]
[2,5,6,3,7,8,1,4]=>[4,1,8,7,3,6,5,2]
[2,3,7,1,4,8,6,5]=>[5,6,8,4,1,7,3,2]
[2,6,1,3,7,8,5,4]=>[4,5,8,7,3,1,6,2]
[2,5,6,7,4,8,1,3]=>[3,1,8,4,7,6,5,2]
[2,3,7,8,4,5,6,1]=>[1,6,5,4,8,7,3,2]
[2,6,7,3,4,8,5,1]=>[1,5,8,4,3,7,6,2]
[1,5,3,2,6,4,7,8]=>[8,7,4,6,2,3,5,1]
[1,5,3,2,6,7,4,8]=>[8,4,7,6,2,3,5,1]
[1,7,3,2,8,5,4,6]=>[6,4,5,8,2,3,7,1]
[1,7,3,2,5,8,4,6]=>[6,4,8,5,2,3,7,1]
[1,3,2,7,5,4,8,6]=>[6,8,4,5,7,2,3,1]
[6,5,2,4,3,7,1,8]=>[8,1,7,3,4,2,5,6]
[6,4,2,5,3,7,1,8]=>[8,1,7,3,5,2,4,6]
[5,4,7,6,2,3,1,8]=>[8,1,3,2,6,7,4,5]
[3,6,4,8,2,1,5,7]=>[7,5,1,2,8,4,6,3]
[1,6,2,8,5,3,4,7]=>[7,4,3,5,8,2,6,1]
[4,6,2,3,7,5,1,8]=>[8,1,5,7,3,2,6,4]
[4,7,2,3,6,5,1,8]=>[8,1,5,6,3,2,7,4]
[4,7,2,3,5,6,1,8]=>[8,1,6,5,3,2,7,4]
[5,3,2,7,4,6,1,8]=>[8,1,6,4,7,2,3,5]
[5,3,2,6,4,7,1,8]=>[8,1,7,4,6,2,3,5]
[4,6,2,3,5,7,1,8]=>[8,1,7,5,3,2,6,4]
[3,5,2,1,6,8,4,7]=>[7,4,8,6,1,2,5,3]
[1,5,2,6,8,4,3,7]=>[7,3,4,8,6,2,5,1]
[1,5,7,2,8,4,3,6]=>[6,3,4,8,2,7,5,1]
[3,5,2,1,8,6,4,7]=>[7,4,6,8,1,2,5,3]
[3,6,8,4,2,1,5,7]=>[7,5,1,2,4,8,6,3]
[4,3,2,6,1,8,5,7]=>[7,5,8,1,6,2,3,4]
[1,5,8,2,7,4,3,6]=>[6,3,4,7,2,8,5,1]
[1,7,2,3,4,8,6,5]=>[5,6,8,4,3,2,7,1]
[6,8,2,3,4,1,7,5]=>[5,7,1,4,3,2,8,6]
[4,1,8,2,3,5,7,6]=>[6,7,5,3,2,8,1,4]
[2,3,1,8,4,5,7,6]=>[6,7,5,4,8,1,3,2]
[7,3,2,1,4,5,8,6]=>[6,8,5,4,1,2,3,7]
[7,8,1,4,3,5,2,6]=>[6,2,5,3,4,1,8,7]
[7,1,2,3,4,6,8,5]=>[5,8,6,4,3,2,1,7]
[6,1,2,3,4,8,7,5]=>[5,7,8,4,3,2,1,6]
[1,8,2,3,4,7,6,5]=>[5,6,7,4,3,2,8,1]
[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]
[2,8,1,3,5,4,7,6]=>[6,7,4,5,3,1,8,2]
[8,7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7,8]
[8,3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3,8]
[3,8,2,1,5,6,4,7]=>[7,4,6,5,1,2,8,3]
[3,8,2,1,6,5,4,7]=>[7,4,5,6,1,2,8,3]
[1,7,8,3,5,4,2,6]=>[6,2,4,5,3,8,7,1]
[7,4,1,8,3,5,2,6]=>[6,2,5,3,8,1,4,7]
[8,4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4,8]
[3,8,4,6,2,1,5,7]=>[7,5,1,2,6,4,8,3]
[8,4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4,8]
[8,5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5,8]
[8,3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3,8]
[4,3,2,5,1,8,6,7]=>[7,6,8,1,5,2,3,4]
[3,5,2,4,1,8,6,7]=>[7,6,8,1,4,2,5,3]
[2,4,7,8,1,5,3,6]=>[6,3,5,1,8,7,4,2]
[1,8,7,3,5,4,2,6]=>[6,2,4,5,3,7,8,1]
[5,1,8,2,7,4,3,6]=>[6,3,4,7,2,8,1,5]
[5,1,7,2,8,4,3,6]=>[6,3,4,8,2,7,1,5]
[6,1,2,8,5,3,4,7]=>[7,4,3,5,8,2,1,6]
[6,3,2,1,8,4,5,7]=>[7,5,4,8,1,2,3,6]
[7,3,2,8,4,5,1,6]=>[6,1,5,4,8,2,3,7]
[2,7,8,4,3,5,1,6]=>[6,1,5,3,4,8,7,2]
[7,1,8,3,5,4,2,6]=>[6,2,4,5,3,8,1,7]
[7,8,2,3,4,6,1,5]=>[5,1,6,4,3,2,8,7]
[6,7,1,3,4,8,2,5]=>[5,2,8,4,3,1,7,6]
[6,8,1,3,4,7,2,5]=>[5,2,7,4,3,1,8,6]
[1,7,2,3,4,6,8,5]=>[5,8,6,4,3,2,7,1]
[1,6,2,3,4,8,7,5]=>[5,7,8,4,3,2,6,1]
[7,6,2,3,4,1,8,5]=>[5,8,1,4,3,2,6,7]
[8,6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6,8]
[8,1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1,8]
[8,3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3,8]
[6,7,2,3,4,1,8,5]=>[5,8,1,4,3,2,7,6]
[7,6,2,3,4,8,1,5]=>[5,1,8,4,3,2,6,7]
[8,6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6,8]
[6,3,4,8,7,5,1,2]=>[2,1,5,7,8,4,3,6]
[4,8,7,3,5,6,1,2]=>[2,1,6,5,3,7,8,4]
[4,8,7,5,3,6,1,2]=>[2,1,6,3,5,7,8,4]
[5,8,7,3,4,6,1,2]=>[2,1,6,4,3,7,8,5]
[5,8,4,2,1,6,7,3]=>[3,7,6,1,2,4,8,5]
[5,8,4,1,2,6,7,3]=>[3,7,6,2,1,4,8,5]
[5,3,7,2,6,1,8,4]=>[4,8,1,6,2,7,3,5]
[5,2,8,1,6,3,7,4]=>[4,7,3,6,1,8,2,5]
[5,8,2,1,4,7,6,3]=>[3,6,7,4,1,2,8,5]
[4,8,2,5,1,7,6,3]=>[3,6,7,1,5,2,8,4]
[7,8,4,1,2,6,5,3]=>[3,5,6,2,1,4,8,7]
[4,8,1,5,2,7,6,3]=>[3,6,7,2,5,1,8,4]
[5,8,1,2,4,7,6,3]=>[3,6,7,4,2,1,8,5]
[5,2,8,3,6,7,1,4]=>[4,1,7,6,3,8,2,5]
[3,8,7,6,2,4,1,5]=>[5,1,4,2,6,7,8,3]
[2,8,7,6,4,1,3,5]=>[5,3,1,4,6,7,8,2]
[7,8,2,6,5,1,3,4]=>[4,3,1,5,6,2,8,7]
[1,8,7,6,4,2,3,5]=>[5,3,2,4,6,7,8,1]
[2,8,7,6,3,1,4,5]=>[5,4,1,3,6,7,8,2]
[1,8,7,6,2,4,3,5]=>[5,3,4,2,6,7,8,1]
[1,8,7,6,3,4,2,5]=>[5,2,4,3,6,7,8,1]
[2,8,1,4,5,6,7,3]=>[3,7,6,5,4,1,8,2]
[2,1,7,3,6,5,8,4]=>[4,8,5,6,3,7,1,2]
[3,1,7,2,6,5,8,4]=>[4,8,5,6,2,7,1,3]
[3,2,7,1,6,5,8,4]=>[4,8,5,6,1,7,2,3]
[6,1,2,8,5,7,3,4]=>[4,3,7,5,8,2,1,6]
[6,2,1,8,5,7,3,4]=>[4,3,7,5,8,1,2,6]
[6,3,1,8,5,7,2,4]=>[4,2,7,5,8,1,3,6]
[6,4,2,1,7,5,8,3]=>[3,8,5,7,1,2,4,6]
[6,1,3,8,5,2,7,4]=>[4,7,2,5,8,3,1,6]
[2,3,7,1,6,8,5,4]=>[4,5,8,6,1,7,3,2]
[1,3,7,2,6,8,5,4]=>[4,5,8,6,2,7,3,1]
[7,8,2,6,5,3,1,4]=>[4,1,3,5,6,2,8,7]
[3,2,6,7,5,8,1,4]=>[4,1,8,5,7,6,2,3]
[1,2,7,5,6,3,8,4]=>[4,8,3,6,5,7,2,1]
[2,8,7,6,4,3,1,5]=>[5,1,3,4,6,7,8,2]
[3,8,7,6,1,2,5,4]=>[4,5,2,1,6,7,8,3]
[3,8,7,6,2,1,5,4]=>[4,5,1,2,6,7,8,3]
[4,8,7,6,2,1,3,5]=>[5,3,1,2,6,7,8,4]
[4,8,7,6,1,3,2,5]=>[5,2,3,1,6,7,8,4]
[3,8,7,6,4,1,2,5]=>[5,2,1,4,6,7,8,3]
[7,8,3,6,5,1,2,4]=>[4,2,1,5,6,3,8,7]
[2,3,7,5,6,8,1,4]=>[4,1,8,6,5,7,3,2]
[3,8,7,6,4,2,1,5]=>[5,1,2,4,6,7,8,3]
[5,1,4,6,8,2,3,7]=>[7,3,2,8,6,4,1,5]
[1,7,6,3,5,4,8,2]=>[2,8,4,5,3,6,7,1]
[4,3,7,2,6,5,1,8]=>[8,1,5,6,2,7,3,4]
[3,4,6,1,5,7,2,8]=>[8,2,7,5,1,6,4,3]
[1,6,8,5,7,3,4,2]=>[2,4,3,7,5,8,6,1]
[2,4,1,5,8,6,3,7]=>[7,3,6,8,5,1,4,2]
[4,6,1,2,5,8,3,7]=>[7,3,8,5,2,1,6,4]
[5,6,7,2,1,4,8,3]=>[3,8,4,1,2,7,6,5]
[7,8,6,5,1,2,4,3]=>[3,4,2,1,5,6,8,7]
[1,3,6,5,7,8,2,4]=>[4,2,8,7,5,6,3,1]
[7,4,8,5,3,1,6,2]=>[2,6,1,3,5,8,4,7]
[6,8,5,2,4,1,7,3]=>[3,7,1,4,2,5,8,6]
[2,3,1,6,8,5,7,4]=>[4,7,5,8,6,1,3,2]
[7,3,2,5,1,4,8,6]=>[6,8,4,1,5,2,3,7]
[7,1,4,2,3,6,8,5]=>[5,8,6,3,2,4,1,7]
[1,5,8,3,4,6,7,2]=>[2,7,6,4,3,8,5,1]
[8,3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3,8]
[2,3,8,1,6,5,4,7]=>[7,4,5,6,1,8,3,2]
[8,1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1,8]
[3,5,2,4,1,7,8,6]=>[6,8,7,1,4,2,5,3]
[3,4,7,8,6,2,1,5]=>[5,1,2,6,8,7,4,3]
[3,4,8,6,2,7,1,5]=>[5,1,7,2,6,8,4,3]
[5,8,2,1,6,7,3,4]=>[4,3,7,6,1,2,8,5]
[5,7,2,8,6,4,3,1]=>[1,3,4,6,8,2,7,5]
[6,1,2,7,5,3,8,4]=>[4,8,3,5,7,2,1,6]
[7,3,2,8,6,4,1,5]=>[5,1,4,6,8,2,3,7]
[2,7,8,4,6,3,1,5]=>[5,1,3,6,4,8,7,2]
[1,4,5,7,2,6,8,3]=>[3,8,6,2,7,5,4,1]
[7,3,5,2,6,1,8,4]=>[4,8,1,6,2,5,3,7]
[8,5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5,8]
[8,1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1,8]
[2,8,6,4,3,7,1,5]=>[5,1,7,3,4,6,8,2]
[8,3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3,8]
[2,3,8,7,6,5,1,4]=>[4,1,5,6,7,8,3,2]
[1,2,8,7,3,6,5,4]=>[4,5,6,3,7,8,2,1]
[4,2,8,7,3,6,1,5]=>[5,1,6,3,7,8,2,4]
[4,5,8,7,1,2,6,3]=>[3,6,2,1,7,8,5,4]
[1,5,8,7,3,2,6,4]=>[4,6,2,3,7,8,5,1]
[4,5,8,7,3,2,1,6]=>[6,1,2,3,7,8,5,4]
[2,6,8,1,7,5,4,3]=>[3,4,5,7,1,8,6,2]
[3,6,8,4,7,2,1,5]=>[5,1,2,7,4,8,6,3]
[2,5,8,3,7,6,1,4]=>[4,1,6,7,3,8,5,2]
[3,2,8,4,7,6,1,5]=>[5,1,6,7,4,8,2,3]
[1,5,8,3,7,2,6,4]=>[4,6,2,7,3,8,5,1]
[3,5,8,4,7,2,1,6]=>[6,1,2,7,4,8,5,3]
[5,6,8,2,3,7,1,4]=>[4,1,7,3,2,8,6,5]
[1,6,8,4,2,7,5,3]=>[3,5,7,2,4,8,6,1]
[1,5,8,4,2,7,6,3]=>[3,6,7,2,4,8,5,1]
[1,5,8,2,3,7,6,4]=>[4,6,7,3,2,8,5,1]
[2,1,8,4,3,7,6,5]=>[5,6,7,3,4,8,1,2]
[2,5,8,4,3,7,1,6]=>[6,1,7,3,4,8,5,2]
[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]
[5,6,8,1,3,2,7,4]=>[4,7,2,3,1,8,6,5]
[1,6,8,4,3,2,7,5]=>[5,7,2,3,4,8,6,1]
[5,6,8,4,3,2,1,7]=>[7,1,2,3,4,8,6,5]
[7,1,2,8,6,5,4,3]=>[3,4,5,6,8,2,1,7]
[7,1,4,8,6,2,5,3]=>[3,5,2,6,8,4,1,7]
[7,3,1,8,6,2,5,4]=>[4,5,2,6,8,1,3,7]
[7,2,4,8,3,6,1,5]=>[5,1,6,3,8,4,2,7]
[7,1,4,8,3,2,6,5]=>[5,6,2,3,8,4,1,7]
[7,4,5,8,3,2,1,6]=>[6,1,2,3,8,5,4,7]
[1,6,2,8,7,5,4,3]=>[3,4,5,7,8,2,6,1]
[1,6,4,8,7,2,5,3]=>[3,5,2,7,8,4,6,1]
[3,6,4,8,7,2,1,5]=>[5,1,2,7,8,4,6,3]
[3,2,5,8,7,6,1,4]=>[4,1,6,7,8,5,2,3]
[3,2,4,8,7,6,1,5]=>[5,1,6,7,8,4,2,3]
[3,1,5,8,7,2,6,4]=>[4,6,2,7,8,5,1,3]
[3,1,4,8,7,2,6,5]=>[5,6,2,7,8,4,1,3]
[1,6,4,8,2,7,5,3]=>[3,5,7,2,8,4,6,1]
[1,4,5,8,2,7,6,3]=>[3,6,7,2,8,5,4,1]
[2,4,5,8,3,7,1,6]=>[6,1,7,3,8,5,4,2]
[4,6,5,8,1,2,7,3]=>[3,7,2,1,8,5,6,4]
[1,6,4,8,3,2,7,5]=>[5,7,2,3,8,4,6,1]
[1,4,5,8,3,2,7,6]=>[6,7,2,3,8,5,4,1]
[7,6,1,4,8,2,5,3]=>[3,5,2,8,4,1,6,7]
[7,6,1,3,8,2,5,4]=>[4,5,2,8,3,1,6,7]
[7,6,3,4,8,2,1,5]=>[5,1,2,8,4,3,6,7]
[7,2,5,1,8,6,4,3]=>[3,4,6,8,1,5,2,7]
[7,2,5,3,8,6,1,4]=>[4,1,6,8,3,5,2,7]
[7,2,1,4,8,6,5,3]=>[3,5,6,8,4,1,2,7]
[7,2,1,3,8,6,5,4]=>[4,5,6,8,3,1,2,7]
[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]
[7,3,5,4,8,2,1,6]=>[6,1,2,8,4,5,3,7]
[2,6,5,1,8,7,4,3]=>[3,4,7,8,1,5,6,2]
[2,3,5,4,8,7,1,6]=>[6,1,7,8,4,5,3,2]
[1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]
[1,6,5,3,8,2,7,4]=>[4,7,2,8,3,5,6,1]
[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]
[1,3,5,4,8,2,7,6]=>[6,7,2,8,4,5,3,1]
[3,6,5,4,8,2,1,7]=>[7,1,2,8,4,5,6,3]
[7,6,5,2,3,8,1,4]=>[4,1,8,3,2,5,6,7]
[7,6,1,4,2,8,5,3]=>[3,5,8,2,4,1,6,7]
[7,6,1,2,3,8,5,4]=>[4,5,8,3,2,1,6,7]
[7,6,2,4,3,8,1,5]=>[5,1,8,3,4,2,6,7]
[7,1,5,4,2,8,6,3]=>[3,6,8,2,4,5,1,7]
[7,1,5,2,3,8,6,4]=>[4,6,8,3,2,5,1,7]
[7,1,2,4,3,8,6,5]=>[5,6,8,3,4,2,1,7]
[2,6,5,4,3,8,1,7]=>[7,1,8,3,4,5,6,2]
[7,6,1,4,3,2,8,5]=>[5,8,2,3,4,1,6,7]
[7,1,5,4,3,2,8,6]=>[6,8,2,3,4,5,1,7]
[3,4,2,6,7,8,1,5]=>[5,1,8,7,6,2,4,3]
[3,1,4,2,6,8,7,5]=>[5,7,8,6,2,4,1,3]
[8,3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3,8]
[2,6,7,3,5,4,1,8]=>[8,1,4,5,3,7,6,2]
[2,7,8,3,5,4,1,6]=>[6,1,4,5,3,8,7,2]
[2,6,8,3,5,4,1,7]=>[7,1,4,5,3,8,6,2]
[4,7,1,2,8,5,3,6]=>[6,3,5,8,2,1,7,4]
[4,8,1,2,7,5,3,6]=>[6,3,5,7,2,1,8,4]
[2,1,6,3,7,5,4,8]=>[8,4,5,7,3,6,1,2]
[2,7,1,3,6,8,4,5]=>[5,4,8,6,3,1,7,2]
[6,7,3,2,8,1,4,5]=>[5,4,1,8,2,3,7,6]
[7,3,4,2,6,1,8,5]=>[5,8,1,6,2,4,3,7]
[7,4,1,2,8,5,3,6]=>[6,3,5,8,2,1,4,7]
[8,7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7,8]
[7,4,1,2,6,5,3,8]=>[8,3,5,6,2,1,4,7]
[7,4,3,1,5,6,8,2]=>[2,8,6,5,1,3,4,7]
[6,7,4,1,5,8,3,2]=>[2,3,8,5,1,4,7,6]
[4,7,5,1,6,8,3,2]=>[2,3,8,6,1,5,7,4]
[4,5,3,1,7,6,8,2]=>[2,8,6,7,1,3,5,4]
[4,6,1,2,7,5,3,8]=>[8,3,5,7,2,1,6,4]
[2,7,1,3,6,5,4,8]=>[8,4,5,6,3,1,7,2]
[4,1,8,2,6,5,3,7]=>[7,3,5,6,2,8,1,4]
[4,6,1,2,8,5,3,7]=>[7,3,5,8,2,1,6,4]
[8,4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4,8]
[4,5,3,1,8,6,7,2]=>[2,7,6,8,1,3,5,4]
[4,8,5,6,3,1,7,2]=>[2,7,1,3,6,5,8,4]
[5,1,3,4,8,6,7,2]=>[2,7,6,8,4,3,1,5]
[5,4,3,8,1,6,7,2]=>[2,7,6,1,8,3,4,5]
[8,5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5,8]
[6,4,8,2,1,5,3,7]=>[7,3,5,1,2,8,4,6]
[6,7,3,2,5,1,4,8]=>[8,4,1,5,2,3,7,6]
[6,8,3,2,5,1,4,7]=>[7,4,1,5,2,3,8,6]
[5,7,1,4,6,8,3,2]=>[2,3,8,6,4,1,7,5]
[5,1,3,4,7,6,8,2]=>[2,8,6,7,4,3,1,5]
[6,1,4,2,7,5,3,8]=>[8,3,5,7,2,4,1,6]
[5,4,3,7,1,6,8,2]=>[2,8,6,1,7,3,4,5]
[6,7,5,4,1,8,3,2]=>[2,3,8,1,4,5,7,6]
[7,6,4,2,1,5,3,8]=>[8,3,5,1,2,4,6,7]
[8,2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2,8]
[7,2,8,6,5,4,3,1]=>[1,3,4,5,6,8,2,7]
[8,7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7,8]
[3,2,8,7,6,5,1,4]=>[4,1,5,6,7,8,2,3]
[4,8,7,6,5,3,1,2]=>[2,1,3,5,6,7,8,4]
[7,8,6,1,5,4,3,2]=>[2,3,4,5,1,6,8,7]
[7,3,8,6,5,4,2,1]=>[1,2,4,5,6,8,3,7]
[4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]
[3,8,7,4,6,5,2,1]=>[1,2,5,6,4,7,8,3]
[2,8,7,6,3,5,4,1]=>[1,4,5,3,6,7,8,2]
[8,5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5,8]
[8,6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6,8]
[7,8,1,5,3,2,4,6]=>[6,4,2,3,5,1,8,7]
[8,1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1,8]
[8,6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6,8]
[8,6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6,8]
[8,4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4,8]
[8,6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6,8]
[8,5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5,8]
[8,5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5,8]
[7,8,2,1,5,4,3,6]=>[6,3,4,5,1,2,8,7]
[7,8,3,1,5,2,4,6]=>[6,4,2,5,1,3,8,7]
[8,2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2,8]
[8,4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4,8]
[8,2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2,8]
[8,2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2,8]
[8,1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1,8]
[8,1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1,8]
[5,7,8,1,3,2,6,4]=>[4,6,2,3,1,8,7,5]
[8,2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2,8]
[5,8,1,6,7,2,3,4]=>[4,3,2,7,6,1,8,5]
[5,7,6,1,8,2,3,4]=>[4,3,2,8,1,6,7,5]
[6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]
[7,5,1,6,8,2,3,4]=>[4,3,2,8,6,1,5,7]
[6,5,7,1,8,2,3,4]=>[4,3,2,8,1,7,5,6]
[6,7,3,8,1,2,4,5]=>[5,4,2,1,8,3,7,6]
[7,5,4,1,8,2,3,6]=>[6,3,2,8,1,4,5,7]
[7,6,1,4,8,2,3,5]=>[5,3,2,8,4,1,6,7]
[8,1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1,8]
[7,5,8,1,3,2,4,6]=>[6,4,2,3,1,8,5,7]
[7,8,4,1,3,2,5,6]=>[6,5,2,3,1,4,8,7]
[8,3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3,8]
[8,5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5,8]
[6,8,1,7,3,2,4,5]=>[5,4,2,3,7,1,8,6]
[7,1,8,4,3,6,2,5]=>[5,2,6,3,4,8,1,7]
[7,3,1,8,6,4,2,5]=>[5,2,4,6,8,1,3,7]
[8,3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3,8]
[8,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,8]
[5,6,8,1,7,2,3,4]=>[4,3,2,7,1,8,6,5]
[6,5,8,1,2,7,3,4]=>[4,3,7,2,1,8,5,6]
[7,3,1,8,5,6,2,4]=>[4,2,6,5,8,1,3,7]
[6,2,7,8,3,1,5,4]=>[4,5,1,3,8,7,2,6]
[5,8,1,7,3,2,6,4]=>[4,6,2,3,7,1,8,5]
[8,4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4,8]
[8,3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3,8]
[8,2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2,8]
[7,4,8,2,1,3,6,5]=>[5,6,3,1,2,8,4,7]
[7,4,3,8,1,2,6,5]=>[5,6,2,1,8,3,4,7]
[8,2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2,8]
[2,6,8,7,1,5,4,3]=>[3,4,5,1,7,8,6,2]
[7,8,5,2,3,6,4,1]=>[1,4,6,3,2,5,8,7]
[8,7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7,8]
[6,8,5,2,3,4,7,1]=>[1,7,4,3,2,5,8,6]
[3,5,2,6,8,1,4,7]=>[7,4,1,8,6,2,5,3]
[3,5,2,4,6,8,1,7]=>[7,1,8,6,4,2,5,3]
[2,4,5,7,3,6,8,1]=>[1,8,6,3,7,5,4,2]
[2,4,5,3,6,8,1,7]=>[7,1,8,6,3,5,4,2]
[5,2,4,6,8,1,3,7]=>[7,3,1,8,6,4,2,5]
[5,1,3,4,6,8,2,7]=>[7,2,8,6,4,3,1,5]
[4,3,5,2,6,8,1,7]=>[7,1,8,6,2,5,3,4]
[4,3,5,7,2,8,1,6]=>[6,1,8,2,7,5,3,4]
[4,3,5,7,2,6,8,1]=>[1,8,6,2,7,5,3,4]
[4,6,3,7,2,5,8,1]=>[1,8,5,2,7,3,6,4]
[4,6,3,1,7,8,2,5]=>[5,2,8,7,1,3,6,4]
[4,3,5,1,7,8,2,6]=>[6,2,8,7,1,5,3,4]
[5,7,1,3,4,8,2,6]=>[6,2,8,4,3,1,7,5]
[5,7,1,3,4,6,8,2]=>[2,8,6,4,3,1,7,5]
[4,5,7,1,3,6,8,2]=>[2,8,6,3,1,7,5,4]
[4,3,6,7,1,5,8,2]=>[2,8,5,1,7,6,3,4]
[4,6,3,5,1,7,8,2]=>[2,8,7,1,5,3,6,4]
[4,6,3,5,7,2,8,1]=>[1,8,2,7,5,3,6,4]
[3,5,6,4,1,7,8,2]=>[2,8,7,1,4,6,5,3]
[3,1,5,6,7,4,8,2]=>[2,8,4,7,6,5,1,3]
[5,1,6,7,3,4,8,2]=>[2,8,4,3,7,6,1,5]
[6,4,7,1,3,5,8,2]=>[2,8,5,3,1,7,4,6]
[1,6,7,3,4,5,8,2]=>[2,8,5,4,3,7,6,1]
[2,6,7,4,5,8,1,3]=>[3,1,8,5,4,7,6,2]
[2,6,7,4,8,1,3,5]=>[5,3,1,8,4,7,6,2]
[5,3,6,1,2,7,8,4]=>[4,8,7,2,1,6,3,5]
[3,5,2,6,1,7,8,4]=>[4,8,7,1,6,2,5,3]
[3,5,2,6,7,4,8,1]=>[1,8,4,7,6,2,5,3]
[5,2,3,6,7,4,8,1]=>[1,8,4,7,6,3,2,5]
[5,2,3,6,1,7,8,4]=>[4,8,7,1,6,3,2,5]
[5,2,6,1,3,7,8,4]=>[4,8,7,3,1,6,2,5]
[4,2,6,7,3,5,8,1]=>[1,8,5,3,7,6,2,4]
[6,3,7,2,4,5,8,1]=>[1,8,5,4,2,7,3,6]
[3,5,7,2,8,1,4,6]=>[6,4,1,8,2,7,5,3]
[3,7,2,4,8,1,5,6]=>[6,5,1,8,4,2,7,3]
[7,2,4,6,8,1,3,5]=>[5,3,1,8,6,4,2,7]
[7,1,3,4,6,8,2,5]=>[5,2,8,6,4,3,1,7]
[3,7,2,4,6,8,1,5]=>[5,1,8,6,4,2,7,3]
[3,5,7,2,6,8,1,4]=>[4,1,8,6,2,7,5,3]
[6,3,7,2,5,8,1,4]=>[4,1,8,5,2,7,3,6]
[6,3,5,7,2,8,1,4]=>[4,1,8,2,7,5,3,6]
[6,3,5,7,2,4,8,1]=>[1,8,4,2,7,5,3,6]
[6,2,4,5,7,3,8,1]=>[1,8,3,7,5,4,2,6]
[6,2,4,5,1,7,8,3]=>[3,8,7,1,5,4,2,6]
[4,7,1,2,5,6,8,3]=>[3,8,6,5,2,1,7,4]
[2,6,7,5,8,1,3,4]=>[4,3,1,8,5,7,6,2]
[4,6,7,1,2,5,8,3]=>[3,8,5,2,1,7,6,4]
[5,6,2,4,7,3,8,1]=>[1,8,3,7,4,2,6,5]
[5,4,2,6,7,3,8,1]=>[1,8,3,7,6,2,4,5]
[5,4,2,6,1,7,8,3]=>[3,8,7,1,6,2,4,5]
[1,5,4,6,2,7,8,3]=>[3,8,7,2,6,4,5,1]
[5,6,4,1,2,7,8,3]=>[3,8,7,2,1,4,6,5]
[6,4,5,1,2,7,8,3]=>[3,8,7,2,1,5,4,6]
[6,3,5,1,7,8,2,4]=>[4,2,8,7,1,5,3,6]
[6,5,7,2,8,1,3,4]=>[4,3,1,8,2,7,5,6]
[6,5,7,1,3,4,8,2]=>[2,8,4,3,1,7,5,6]
[5,6,4,7,1,3,8,2]=>[2,8,3,1,7,4,6,5]
[5,4,6,3,1,7,8,2]=>[2,8,7,1,3,6,4,5]
[7,5,3,2,4,8,1,6]=>[6,1,8,4,2,3,5,7]
[8,4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4,8]
[8,5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5,8]
[8,5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5,8]
[8,4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4,8]
[7,5,4,2,1,8,3,6]=>[6,3,8,1,2,4,5,7]
[7,5,4,2,1,6,8,3]=>[3,8,6,1,2,4,5,7]
[7,4,5,3,1,6,8,2]=>[2,8,6,1,3,5,4,7]
[7,4,3,5,6,1,8,2]=>[2,8,1,6,5,3,4,7]
[5,6,3,7,4,1,8,2]=>[2,8,1,4,7,3,6,5]
[5,6,7,3,1,4,8,2]=>[2,8,4,1,3,7,6,5]
[6,7,3,4,1,5,8,2]=>[2,8,5,1,4,3,7,6]
[6,7,4,2,1,5,8,3]=>[3,8,5,1,2,4,7,6]
[5,6,7,3,1,8,2,4]=>[4,2,8,1,3,7,6,5]
[5,6,3,7,8,1,2,4]=>[4,2,1,8,7,3,6,5]
[5,6,3,7,2,4,8,1]=>[1,8,4,2,7,3,6,5]
[5,6,7,2,3,8,1,4]=>[4,1,8,3,2,7,6,5]
[7,4,5,2,8,1,3,6]=>[6,3,1,8,2,5,4,7]
[6,7,3,2,4,8,1,5]=>[5,1,8,4,2,3,7,6]
[7,6,4,2,1,3,8,5]=>[5,8,3,1,2,4,6,7]
[7,6,3,4,1,2,8,5]=>[5,8,2,1,4,3,6,7]
[7,6,3,2,4,1,8,5]=>[5,8,1,4,2,3,6,7]
[6,7,3,2,5,1,8,4]=>[4,8,1,5,2,3,7,6]
[6,5,3,2,7,8,1,4]=>[4,1,8,7,2,3,5,6]
[6,5,3,2,7,4,8,1]=>[1,8,4,7,2,3,5,6]
[6,4,5,2,7,3,8,1]=>[1,8,3,7,2,5,4,6]
[6,4,5,2,7,8,1,3]=>[3,1,8,7,2,5,4,6]
[7,4,5,2,6,1,8,3]=>[3,8,1,6,2,5,4,7]
[7,4,5,6,1,2,8,3]=>[3,8,2,1,6,5,4,7]
[7,5,6,2,1,3,8,4]=>[4,8,3,1,2,6,5,7]
[6,7,3,5,1,2,8,4]=>[4,8,2,1,5,3,7,6]
[5,6,7,4,1,2,8,3]=>[3,8,2,1,4,7,6,5]
[5,6,7,2,4,1,8,3]=>[3,8,1,4,2,7,6,5]
[5,6,4,2,7,8,1,3]=>[3,1,8,7,2,4,6,5]
[6,5,7,2,1,8,3,4]=>[4,3,8,1,2,7,5,6]
[6,5,7,2,1,4,8,3]=>[3,8,4,1,2,7,5,6]
[5,4,6,7,3,1,8,2]=>[2,8,1,3,7,6,4,5]
[5,7,8,3,6,4,1,2]=>[2,1,4,6,3,8,7,5]
[3,7,8,5,6,4,1,2]=>[2,1,4,6,5,8,7,3]
[3,7,8,5,6,1,4,2]=>[2,4,1,6,5,8,7,3]
[1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]
[1,7,5,8,6,3,4,2]=>[2,4,3,6,8,5,7,1]
[3,7,5,8,6,1,4,2]=>[2,4,1,6,8,5,7,3]
[3,7,5,8,6,4,1,2]=>[2,1,4,6,8,5,7,3]
[5,7,3,8,6,4,1,2]=>[2,1,4,6,8,3,7,5]
[7,3,8,5,6,4,1,2]=>[2,1,4,6,5,8,3,7]
[7,3,5,8,6,4,1,2]=>[2,1,4,6,8,5,3,7]
[3,5,7,8,6,4,1,2]=>[2,1,4,6,8,7,5,3]
[1,5,7,8,6,3,4,2]=>[2,4,3,6,8,7,5,1]
[1,5,7,8,3,6,4,2]=>[2,4,6,3,8,7,5,1]
[3,5,7,8,1,6,4,2]=>[2,4,6,1,8,7,5,3]
[5,3,7,8,1,6,4,2]=>[2,4,6,1,8,7,3,5]
[7,3,5,8,6,1,4,2]=>[2,4,1,6,8,5,3,7]
[7,3,8,5,6,1,4,2]=>[2,4,1,6,5,8,3,7]
[7,8,1,5,6,3,4,2]=>[2,4,3,6,5,1,8,7]
[7,1,8,5,6,3,4,2]=>[2,4,3,6,5,8,1,7]
[7,1,5,8,6,3,4,2]=>[2,4,3,6,8,5,1,7]
[5,1,7,8,3,6,4,2]=>[2,4,6,3,8,7,1,5]
[3,1,7,8,5,6,4,2]=>[2,4,6,5,8,7,1,3]
[1,3,7,8,5,6,4,2]=>[2,4,6,5,8,7,3,1]
[3,1,7,5,8,6,4,2]=>[2,4,6,8,5,7,1,3]
[5,1,7,3,8,6,4,2]=>[2,4,6,8,3,7,1,5]
[7,1,5,3,8,6,4,2]=>[2,4,6,8,3,5,1,7]
[7,1,5,8,3,6,4,2]=>[2,4,6,3,8,5,1,7]
[7,8,1,5,3,6,4,2]=>[2,4,6,3,5,1,8,7]
[7,8,3,5,1,6,4,2]=>[2,4,6,1,5,3,8,7]
[7,3,5,8,1,6,4,2]=>[2,4,6,1,8,5,3,7]
[5,3,7,1,8,6,4,2]=>[2,4,6,8,1,7,3,5]
[3,5,7,1,8,6,4,2]=>[2,4,6,8,1,7,5,3]
[1,7,5,3,8,6,4,2]=>[2,4,6,8,3,5,7,1]
[5,7,3,1,8,6,4,2]=>[2,4,6,8,1,3,7,5]
[5,7,3,8,6,1,4,2]=>[2,4,1,6,8,3,7,5]
[3,7,5,8,1,6,4,2]=>[2,4,6,1,8,5,7,3]
[1,7,5,8,3,6,4,2]=>[2,4,6,3,8,5,7,1]
[1,7,8,5,3,6,4,2]=>[2,4,6,3,5,8,7,1]
[3,7,8,5,1,6,4,2]=>[2,4,6,1,5,8,7,3]
[5,7,8,3,6,1,4,2]=>[2,4,1,6,3,8,7,5]
[5,7,8,6,3,1,4,2]=>[2,4,1,3,6,8,7,5]
[7,5,8,6,1,3,4,2]=>[2,4,3,1,6,8,5,7]
[5,7,8,1,6,3,4,2]=>[2,4,3,6,1,8,7,5]
[5,7,8,1,3,6,4,2]=>[2,4,6,3,1,8,7,5]
[3,7,8,1,5,6,4,2]=>[2,4,6,5,1,8,7,3]
[1,7,8,3,5,6,4,2]=>[2,4,6,5,3,8,7,1]
[1,7,3,8,5,6,4,2]=>[2,4,6,5,8,3,7,1]
[3,7,1,8,5,6,4,2]=>[2,4,6,5,8,1,7,3]
[5,7,1,8,3,6,4,2]=>[2,4,6,3,8,1,7,5]
[5,7,1,8,6,3,4,2]=>[2,4,3,6,8,1,7,5]
[7,5,1,8,6,3,4,2]=>[2,4,3,6,8,1,5,7]
[7,5,8,1,6,3,4,2]=>[2,4,3,6,1,8,5,7]
[7,8,5,1,6,3,4,2]=>[2,4,3,6,1,5,8,7]
[7,8,5,1,3,6,4,2]=>[2,4,6,3,1,5,8,7]
[7,5,8,1,3,6,4,2]=>[2,4,6,3,1,8,5,7]
[7,5,1,8,3,6,4,2]=>[2,4,6,3,8,1,5,7]
[7,5,1,3,8,6,4,2]=>[2,4,6,8,3,1,5,7]
[5,7,1,3,8,6,4,2]=>[2,4,6,8,3,1,7,5]
[3,7,1,5,8,6,4,2]=>[2,4,6,8,5,1,7,3]
[1,7,3,5,8,6,4,2]=>[2,4,6,8,5,3,7,1]
[1,5,3,7,8,6,4,2]=>[2,4,6,8,7,3,5,1]
[3,5,1,7,8,6,4,2]=>[2,4,6,8,7,1,5,3]
[5,3,1,7,8,6,4,2]=>[2,4,6,8,7,1,3,5]
[7,3,1,5,8,6,4,2]=>[2,4,6,8,5,1,3,7]
[7,3,1,8,5,6,4,2]=>[2,4,6,5,8,1,3,7]
[7,3,8,1,5,6,4,2]=>[2,4,6,5,1,8,3,7]
[7,8,3,1,5,6,4,2]=>[2,4,6,5,1,3,8,7]
[7,8,1,3,5,6,4,2]=>[2,4,6,5,3,1,8,7]
[7,1,8,3,5,6,4,2]=>[2,4,6,5,3,8,1,7]
[7,1,3,8,5,6,4,2]=>[2,4,6,5,8,3,1,7]
[7,1,3,5,8,6,4,2]=>[2,4,6,8,5,3,1,7]
[3,1,5,7,8,6,4,2]=>[2,4,6,8,7,5,1,3]
[5,7,3,4,6,8,1,2]=>[2,1,8,6,4,3,7,5]
[5,7,3,4,8,6,1,2]=>[2,1,6,8,4,3,7,5]
[5,7,3,4,8,1,6,2]=>[2,6,1,8,4,3,7,5]
[5,7,3,4,1,8,6,2]=>[2,6,8,1,4,3,7,5]
[5,7,3,4,1,6,8,2]=>[2,8,6,1,4,3,7,5]
[5,7,3,4,6,1,2,8]=>[8,2,1,6,4,3,7,5]
[7,3,5,6,1,2,8,4]=>[4,8,2,1,6,5,3,7]
[5,7,3,1,4,6,2,8]=>[8,2,6,4,1,3,7,5]
[5,7,3,1,4,6,8,2]=>[2,8,6,4,1,3,7,5]
[5,7,3,1,4,8,6,2]=>[2,6,8,4,1,3,7,5]
[5,7,3,1,4,8,2,6]=>[6,2,8,4,1,3,7,5]
[5,3,7,4,1,2,8,6]=>[6,8,2,1,4,7,3,5]
[5,3,7,4,1,2,6,8]=>[8,6,2,1,4,7,3,5]
[5,3,7,1,4,2,6,8]=>[8,6,2,4,1,7,3,5]
[5,3,7,1,4,2,8,6]=>[6,8,2,4,1,7,3,5]
[3,7,5,1,2,8,6,4]=>[4,6,8,2,1,5,7,3]
[7,8,3,5,1,2,6,4]=>[4,6,2,1,5,3,8,7]
[7,3,8,5,1,2,6,4]=>[4,6,2,1,5,8,3,7]
[7,3,5,8,1,2,6,4]=>[4,6,2,1,8,5,3,7]
[3,7,5,1,2,6,4,8]=>[8,4,6,2,1,5,7,3]
[3,7,5,1,2,6,8,4]=>[4,8,6,2,1,5,7,3]
[6,1,4,3,5,2,8,7]=>[7,8,2,5,3,4,1,6]
[2,5,7,3,8,4,1,6]=>[6,1,4,8,3,7,5,2]
[5,4,7,8,6,1,3,2]=>[2,3,1,6,8,7,4,5]
[7,5,6,2,8,3,1,4]=>[4,1,3,8,2,6,5,7]
[4,7,2,5,8,3,1,6]=>[6,1,3,8,5,2,7,4]
[6,2,4,5,1,3,8,7]=>[7,8,3,1,5,4,2,6]
[5,1,4,6,3,2,8,7]=>[7,8,2,3,6,4,1,5]
[3,5,6,2,4,1,8,7]=>[7,8,1,4,2,6,5,3]
[3,8,6,7,5,4,1,2]=>[2,1,4,5,7,6,8,3]
[6,2,7,8,3,4,1,5]=>[5,1,4,3,8,7,2,6]
[2,5,3,4,8,1,7,6]=>[6,7,1,8,4,3,5,2]
[8,7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7,8]
[5,1,8,2,3,4,7,6]=>[6,7,4,3,2,8,1,5]
[5,4,7,6,2,8,1,3]=>[3,1,8,2,6,7,4,5]
[3,7,8,1,5,4,6,2]=>[2,6,4,5,1,8,7,3]
[7,1,3,4,6,8,5,2]=>[2,5,8,6,4,3,1,7]
[8,3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3,8]
[5,8,7,1,4,6,2,3]=>[3,2,6,4,1,7,8,5]
[4,7,6,1,8,3,5,2]=>[2,5,3,8,1,6,7,4]
[4,7,2,6,3,8,5,1]=>[1,5,8,3,6,2,7,4]
[2,1,8,4,6,7,3,5]=>[5,3,7,6,4,8,1,2]
[4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]
[3,8,1,5,6,7,2,4]=>[4,2,7,6,5,1,8,3]
[6,7,2,4,8,5,3,1]=>[1,3,5,8,4,2,7,6]
[2,8,3,6,7,5,1,4]=>[4,1,5,7,6,3,8,2]
[8,2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2,8]
[3,2,4,5,8,1,7,6]=>[6,7,1,8,5,4,2,3]
[7,4,6,3,2,1,8,5]=>[5,8,1,2,3,6,4,7]
[4,7,3,2,1,8,6,5]=>[5,6,8,1,2,3,7,4]
[6,4,7,5,2,3,8,1]=>[1,8,3,2,5,7,4,6]
[6,4,8,1,7,3,2,5]=>[5,2,3,7,1,8,4,6]
[4,8,7,2,3,1,5,6]=>[6,5,1,3,2,7,8,4]
[4,2,3,1,8,7,5,6]=>[6,5,7,8,1,3,2,4]
[7,6,8,1,3,5,2,4]=>[4,2,5,3,1,8,6,7]
[6,7,5,2,3,1,8,4]=>[4,8,1,3,2,5,7,6]
[4,7,2,6,5,1,8,3]=>[3,8,1,5,6,2,7,4]
[6,4,2,1,8,5,7,3]=>[3,7,5,8,1,2,4,6]
[7,2,1,5,6,8,4,3]=>[3,4,8,6,5,1,2,7]
[8,7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7,8]
[6,7,8,2,5,3,1,4]=>[4,1,3,5,2,8,7,6]
[2,1,7,3,6,8,5,4]=>[4,5,8,6,3,7,1,2]
[2,1,5,7,8,4,6,3]=>[3,6,4,8,7,5,1,2]
[2,5,7,8,3,6,1,4]=>[4,1,6,3,8,7,5,2]
[6,4,1,5,7,2,8,3]=>[3,8,2,7,5,1,4,6]
[7,4,8,1,2,5,6,3]=>[3,6,5,2,1,8,4,7]
[4,2,7,8,6,3,5,1]=>[1,5,3,6,8,7,2,4]
[6,1,7,4,3,2,8,5]=>[5,8,2,3,4,7,1,6]
[6,8,3,4,2,1,7,5]=>[5,7,1,2,4,3,8,6]
[4,2,6,1,5,7,8,3]=>[3,8,7,5,1,6,2,4]
[2,4,6,7,3,5,8,1]=>[1,8,5,3,7,6,4,2]
[6,5,8,3,7,4,1,2]=>[2,1,4,7,3,8,5,6]
[7,1,4,8,3,5,6,2]=>[2,6,5,3,8,4,1,7]
[6,8,7,5,3,4,1,2]=>[2,1,4,3,5,7,8,6]
[4,8,6,3,1,5,7,2]=>[2,7,5,1,3,6,8,4]
[3,4,8,2,5,7,6,1]=>[1,6,7,5,2,8,4,3]
[3,6,8,7,2,5,1,4]=>[4,1,5,2,7,8,6,3]
[3,5,7,2,8,6,1,4]=>[4,1,6,8,2,7,5,3]
[2,5,7,4,8,6,1,3]=>[3,1,6,8,4,7,5,2]
[1,6,3,7,5,2,8,4]=>[4,8,2,5,7,3,6,1]
[2,6,3,7,5,1,8,4]=>[4,8,1,5,7,3,6,2]
[2,6,4,8,7,5,1,3]=>[3,1,5,7,8,4,6,2]
[6,3,7,2,8,5,1,4]=>[4,1,5,8,2,7,3,6]
[3,6,2,5,8,7,1,4]=>[4,1,7,8,5,2,6,3]
[5,2,8,4,7,6,1,3]=>[3,1,6,7,4,8,2,5]
[7,2,4,8,6,5,1,3]=>[3,1,5,6,8,4,2,7]
[6,2,4,8,7,5,1,3]=>[3,1,5,7,8,4,2,6]
[2,4,5,8,7,6,1,3]=>[3,1,6,7,8,5,4,2]
[2,3,5,7,6,1,8,4]=>[4,8,1,6,7,5,3,2]
[1,3,4,6,2,8,7,5]=>[5,7,8,2,6,4,3,1]
[5,2,3,6,1,8,7,4]=>[4,7,8,1,6,3,2,5]
[4,2,7,3,8,1,6,5]=>[5,6,1,8,3,7,2,4]
[2,5,1,4,7,3,8,6]=>[6,8,3,7,4,1,5,2]
[6,1,3,8,7,2,5,4]=>[4,5,2,7,8,3,1,6]
[3,1,5,6,2,8,7,4]=>[4,7,8,2,6,5,1,3]
[1,2,4,6,3,8,7,5]=>[5,7,8,3,6,4,2,1]
[4,1,5,2,8,7,6,3]=>[3,6,7,8,2,5,1,4]
[7,1,4,2,8,6,5,3]=>[3,5,6,8,2,4,1,7]
[5,1,3,7,2,8,6,4]=>[4,6,8,2,7,3,1,5]
[4,1,5,3,2,8,7,6]=>[6,7,8,2,3,5,1,4]
[2,6,1,4,3,8,7,5]=>[5,7,8,3,4,1,6,2]
[3,6,2,4,1,8,7,5]=>[5,7,8,1,4,2,6,3]
[7,2,3,5,1,8,6,4]=>[4,6,8,1,5,3,2,7]
[7,3,4,1,8,6,5,2]=>[2,5,6,8,1,4,3,7]
[6,3,4,1,8,7,5,2]=>[2,5,7,8,1,4,3,6]
[3,4,5,1,8,7,6,2]=>[2,6,7,8,1,5,4,3]
[1,4,5,2,8,7,6,3]=>[3,6,7,8,2,5,4,1]
[1,6,4,2,8,7,5,3]=>[3,5,7,8,2,4,6,1]
[5,6,3,1,8,7,4,2]=>[2,4,7,8,1,3,6,5]
[7,4,2,5,1,8,6,3]=>[3,6,8,1,5,2,4,7]
[5,3,6,2,8,1,7,4]=>[4,7,1,8,2,6,3,5]
[4,6,2,7,5,1,8,3]=>[3,8,1,5,7,2,6,4]
[4,5,2,6,1,8,7,3]=>[3,7,8,1,6,2,5,4]
[1,5,3,6,2,8,7,4]=>[4,7,8,2,6,3,5,1]
[1,5,8,3,2,7,6,4]=>[4,6,7,2,3,8,5,1]
[2,5,8,3,1,7,6,4]=>[4,6,7,1,3,8,5,2]
[4,5,8,2,1,7,6,3]=>[3,6,7,1,2,8,5,4]
[3,6,2,5,1,4,8,7]=>[7,8,4,1,5,2,6,3]
[5,2,8,4,1,3,7,6]=>[6,7,3,1,4,8,2,5]
[2,4,8,7,1,3,6,5]=>[5,6,3,1,7,8,4,2]
[2,5,8,1,3,7,6,4]=>[4,6,7,3,1,8,5,2]
[2,3,8,1,4,7,6,5]=>[5,6,7,4,1,8,3,2]
[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]
[3,5,2,1,7,4,8,6]=>[6,8,4,7,1,2,5,3]
[6,3,1,7,2,8,5,4]=>[4,5,8,2,7,1,3,6]
[7,5,1,2,8,6,4,3]=>[3,4,6,8,2,1,5,7]
[4,6,1,2,8,7,5,3]=>[3,5,7,8,2,1,6,4]
[1,6,2,3,8,7,5,4]=>[4,5,7,8,3,2,6,1]
[1,5,2,3,8,7,6,4]=>[4,6,7,8,3,2,5,1]
[4,5,1,2,8,7,6,3]=>[3,6,7,8,2,1,5,4]
[6,4,1,2,8,7,5,3]=>[3,5,7,8,2,1,4,6]
[7,4,1,2,8,6,5,3]=>[3,5,6,8,2,1,4,7]
[5,3,1,7,2,8,6,4]=>[4,6,8,2,7,1,3,5]
[5,2,8,1,3,7,6,4]=>[4,6,7,3,1,8,2,5]
[4,1,2,8,3,7,6,5]=>[5,6,7,3,8,2,1,4]
[4,7,5,6,8,3,1,2]=>[2,1,3,8,6,5,7,4]
[8,6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6,8]
[7,5,2,6,4,1,3,8]=>[8,3,1,4,6,2,5,7]
[1,6,3,7,5,8,4,2]=>[2,4,8,5,7,3,6,1]
[1,3,7,4,5,8,6,2]=>[2,6,8,5,4,7,3,1]
[7,2,6,3,4,1,5,8]=>[8,5,1,4,3,6,2,7]
[8,3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3,8]
[6,8,4,7,5,3,1,2]=>[2,1,3,5,7,4,8,6]
[4,8,7,5,6,3,1,2]=>[2,1,3,6,5,7,8,4]
[3,8,7,6,4,5,1,2]=>[2,1,5,4,6,7,8,3]
[1,6,5,2,8,3,7,4]=>[4,7,3,8,2,5,6,1]
[8,6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6,8]
[2,7,6,3,1,4,5,8]=>[8,5,4,1,3,6,7,2]
[6,8,5,3,2,1,4,7]=>[7,4,1,2,3,5,8,6]
[2,7,6,4,5,1,3,8]=>[8,3,1,5,4,6,7,2]
[5,7,2,6,4,1,3,8]=>[8,3,1,4,6,2,7,5]
[6,1,3,7,5,8,4,2]=>[2,4,8,5,7,3,1,6]
[4,1,7,3,6,8,5,2]=>[2,5,8,6,3,7,1,4]
[8,1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1,8]
[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]
[1,8,6,3,7,5,4,2]=>[2,4,5,7,3,6,8,1]
[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]
[2,1,3,8,4,7,5,6]=>[6,5,7,4,8,3,1,2]
[8,1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1,8]
[5,3,1,6,8,4,7,2]=>[2,7,4,8,6,1,3,5]
[6,2,8,7,1,4,3,5]=>[5,3,4,1,7,8,2,6]
[8,7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7,8]
[8,2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2,8]
[2,4,8,3,1,5,6,7]=>[7,6,5,1,3,8,4,2]
[3,4,2,7,1,5,6,8]=>[8,6,5,1,7,2,4,3]
[4,7,3,8,2,1,5,6]=>[6,5,1,2,8,3,7,4]
[5,2,7,3,1,4,6,8]=>[8,6,4,1,3,7,2,5]
[8,3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3,8]
[1,3,7,2,8,4,6,5]=>[5,6,4,8,2,7,3,1]
[1,4,2,5,8,6,7,3]=>[3,7,6,8,5,2,4,1]
[6,5,3,8,2,1,4,7]=>[7,4,1,2,8,3,5,6]
[2,6,4,5,7,1,3,8]=>[8,3,1,7,5,4,6,2]
[5,4,6,2,7,1,3,8]=>[8,3,1,7,2,6,4,5]
[7,6,3,1,8,4,5,2]=>[2,5,4,8,1,3,6,7]
[7,6,2,1,8,5,3,4]=>[4,3,5,8,1,2,6,7]
[1,7,5,8,6,4,3,2]=>[2,3,4,6,8,5,7,1]
[6,5,1,2,8,3,7,4]=>[4,7,3,8,2,1,5,6]
[8,6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6,8]
[6,8,4,1,3,7,5,2]=>[2,5,7,3,1,4,8,6]
[6,5,7,1,3,8,4,2]=>[2,4,8,3,1,7,5,6]
[5,8,3,1,7,4,6,2]=>[2,6,4,7,1,3,8,5]
[8,3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3,8]
[1,3,8,7,4,6,5,2]=>[2,5,6,4,7,8,3,1]
[1,2,8,7,6,3,5,4]=>[4,5,3,6,7,8,2,1]
[8,2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2,8]
[2,3,1,8,7,4,5,6]=>[6,5,4,7,8,1,3,2]
[2,4,1,8,5,7,3,6]=>[6,3,7,5,8,1,4,2]
[5,8,2,1,7,6,3,4]=>[4,3,6,7,1,2,8,5]
[6,2,7,1,8,5,3,4]=>[4,3,5,8,1,7,2,6]
[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]
[7,1,8,3,6,5,4,2]=>[2,4,5,6,3,8,1,7]
[4,1,8,7,5,6,3,2]=>[2,3,6,5,7,8,1,4]
[2,1,7,8,4,6,3,5]=>[5,3,6,4,8,7,1,2]
[3,5,8,7,2,6,4,1]=>[1,4,6,2,7,8,5,3]
[5,8,2,7,1,6,4,3]=>[3,4,6,1,7,2,8,5]
[2,1,6,4,5,8,3,7]=>[7,3,8,5,4,6,1,2]
[8,6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6,8]
[4,6,3,8,5,2,1,7]=>[7,1,2,5,8,3,6,4]
[4,6,3,7,5,2,8,1]=>[1,8,2,5,7,3,6,4]
[3,5,7,8,2,6,1,4]=>[4,1,6,2,8,7,5,3]
[5,6,2,4,1,3,8,7]=>[7,8,3,1,4,2,6,5]
[7,6,3,8,5,2,4,1]=>[1,4,2,5,8,3,6,7]
[8,2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2,8]
[7,2,3,4,6,1,8,5]=>[5,8,1,6,4,3,2,7]
[8,2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2,8]
[7,2,3,4,6,8,5,1]=>[1,5,8,6,4,3,2,7]
[7,8,3,6,5,1,4,2]=>[2,4,1,5,6,3,8,7]
[4,2,3,6,1,5,8,7]=>[7,8,5,1,6,3,2,4]
[4,8,3,7,5,1,6,2]=>[2,6,1,5,7,3,8,4]
[5,2,3,4,7,8,6,1]=>[1,6,8,7,4,3,2,5]
[8,2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2,8]
[5,2,3,4,8,7,1,6]=>[6,1,7,8,4,3,2,5]
[5,2,3,4,6,8,1,7]=>[7,1,8,6,4,3,2,5]
[4,2,8,5,7,6,1,3]=>[3,1,6,7,5,8,2,4]
[3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]
[3,8,6,4,5,1,2,7]=>[7,2,1,5,4,6,8,3]
[4,7,3,6,5,8,2,1]=>[1,2,8,5,6,3,7,4]
[4,8,3,7,5,2,1,6]=>[6,1,2,5,7,3,8,4]
[8,7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7,8]
[8,2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2,8]
[4,2,7,5,8,6,3,1]=>[1,3,6,8,5,7,2,4]
[5,8,1,7,3,6,4,2]=>[2,4,6,3,7,1,8,5]
[5,2,7,8,4,6,3,1]=>[1,3,6,4,8,7,2,5]
[5,2,8,3,7,6,1,4]=>[4,1,6,7,3,8,2,5]
[8,2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2,8]
[6,8,3,2,5,7,1,4]=>[4,1,7,5,2,3,8,6]
[6,7,3,8,5,4,2,1]=>[1,2,4,5,8,3,7,6]
[6,2,3,4,7,5,8,1]=>[1,8,5,7,4,3,2,6]
[6,2,3,4,8,5,1,7]=>[7,1,5,8,4,3,2,6]
[8,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,8]
[6,2,3,4,1,8,5,7]=>[7,5,8,1,4,3,2,6]
[6,2,3,4,8,7,5,1]=>[1,5,7,8,4,3,2,6]
[6,8,3,1,5,7,4,2]=>[2,4,7,5,1,3,8,6]
[7,2,3,4,1,8,6,5]=>[5,6,8,1,4,3,2,7]
[7,2,3,4,1,5,8,6]=>[6,8,5,1,4,3,2,7]
[1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]
[1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]
[1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]
[8,6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6,8]
[4,8,6,7,5,1,3,2]=>[2,3,1,5,7,6,8,4]
[7,1,8,4,6,5,2,3]=>[3,2,5,6,4,8,1,7]
[8,7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7,8]
[8,5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5,8]
[6,4,8,5,1,7,3,2]=>[2,3,7,1,5,8,4,6]
[4,8,5,7,1,6,3,2]=>[2,3,6,1,7,5,8,4]
[8,4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4,8]
[8,7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7,8]
[8,7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7,8]
[8,7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7,8]
[8,7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7,8]
[4,8,7,2,5,1,6,3]=>[3,6,1,5,2,7,8,4]
[1,6,4,8,5,2,7,3]=>[3,7,2,5,8,4,6,1]
[8,7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7,8]
[8,7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7,8]
[7,1,8,5,6,2,3,4]=>[4,3,2,6,5,8,1,7]
[3,8,7,1,2,5,6,4]=>[4,6,5,2,1,7,8,3]
[3,5,8,7,1,2,6,4]=>[4,6,2,1,7,8,5,3]
[2,3,8,5,7,1,6,4]=>[4,6,1,7,5,8,3,2]
[3,8,7,1,5,6,2,4]=>[4,2,6,5,1,7,8,3]
[3,5,8,7,1,6,2,4]=>[4,2,6,1,7,8,5,3]
[2,3,8,6,7,5,1,4]=>[4,1,5,7,6,8,3,2]
[3,2,8,6,7,5,1,4]=>[4,1,5,7,6,8,2,3]
[4,1,8,6,2,7,5,3]=>[3,5,7,2,6,8,1,4]
[8,7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7,8]
[1,3,8,6,7,5,2,4]=>[4,2,5,7,6,8,3,1]
[5,7,1,8,2,6,3,4]=>[4,3,6,2,8,1,7,5]
[2,8,7,1,5,6,3,4]=>[4,3,6,5,1,7,8,2]
[7,1,8,2,4,6,5,3]=>[3,5,6,4,2,8,1,7]
[1,6,2,8,4,7,5,3]=>[3,5,7,4,8,2,6,1]
[1,3,8,5,7,2,6,4]=>[4,6,2,7,5,8,3,1]
[1,8,3,7,2,5,6,4]=>[4,6,5,2,7,3,8,1]
[2,8,7,1,3,5,6,4]=>[4,6,5,3,1,7,8,2]
[5,7,1,8,2,3,6,4]=>[4,6,3,2,8,1,7,5]
[7,1,8,2,3,5,6,4]=>[4,6,5,3,2,8,1,7]
[8,6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6,8]
[4,2,8,6,7,5,1,3]=>[3,1,5,7,6,8,2,4]
[8,4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4,8]
[4,8,3,6,1,7,5,2]=>[2,5,7,1,6,3,8,4]
[8,3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3,8]
[8,3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3,8]
[8,7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7,8]
[8,7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7,8]
[8,7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7,8]
[4,8,6,1,7,2,5,3]=>[3,5,2,7,1,6,8,4]
[4,7,1,8,2,6,5,3]=>[3,5,6,2,8,1,7,4]
[4,2,8,6,7,1,5,3]=>[3,5,1,7,6,8,2,4]
[8,7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7,8]
[8,2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2,8]
[8,2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2,8]
[2,8,3,6,7,1,5,4]=>[4,5,1,7,6,3,8,2]
[8,7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7,8]
[1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1]
[1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1]
[8,2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2,8]
[1,8,7,3,6,2,4,5]=>[5,4,2,6,3,7,8,1]
[1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1]
[8,2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2,8]
[8,2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2,8]
[8,7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7,8]
[2,8,7,3,5,6,1,4]=>[4,1,6,5,3,7,8,2]
[8,3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3,8]
[8,5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5,8]
[1,5,2,8,6,7,4,3]=>[3,4,7,6,8,2,5,1]
[1,2,8,6,7,5,3,4]=>[4,3,5,7,6,8,2,1]
[1,8,3,6,7,5,2,4]=>[4,2,5,7,6,3,8,1]
[8,2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2,8]
[8,3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3,8]
[8,1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1,8]
[8,4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4,8]
[8,1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1,8]
[1,2,8,6,7,3,5,4]=>[4,5,3,7,6,8,2,1]
[8,1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1,8]
[8,1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1,8]
[8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8]
[8,1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1,8]
[8,1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1,8]
[1,8,3,6,7,2,5,4]=>[4,5,2,7,6,3,8,1]
[1,7,8,2,3,6,5,4]=>[4,5,6,3,2,8,7,1]
[8,3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3,8]
[8,7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7,8]
[2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]
[3,1,8,5,7,4,2,6]=>[6,2,4,7,5,8,1,3]
[8,3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3,8]
[8,3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3,8]
[2,8,6,4,3,5,7,1]=>[1,7,5,3,4,6,8,2]
[2,6,8,3,5,4,7,1]=>[1,7,4,5,3,8,6,2]
[2,7,5,8,4,6,3,1]=>[1,3,6,4,8,5,7,2]
[8,4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4,8]
[4,8,1,7,6,3,2,5]=>[5,2,3,6,7,1,8,4]
[4,1,7,6,2,3,5,8]=>[8,5,3,2,6,7,1,4]
[3,7,1,8,6,2,5,4]=>[4,5,2,6,8,1,7,3]
[3,1,7,6,4,5,2,8]=>[8,2,5,4,6,7,1,3]
[3,1,7,5,8,4,2,6]=>[6,2,4,8,5,7,1,3]
[3,1,6,8,7,5,2,4]=>[4,2,5,7,8,6,1,3]
[6,3,8,7,5,2,4,1]=>[1,4,2,5,7,8,3,6]
[7,3,5,8,4,2,6,1]=>[1,6,2,4,8,5,3,7]
[7,3,6,4,2,8,5,1]=>[1,5,8,2,4,6,3,7]
[7,8,3,6,2,5,4,1]=>[1,4,5,2,6,3,8,7]
[7,4,8,2,1,6,3,5]=>[5,3,6,1,2,8,4,7]
[8,7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7,8]
[7,8,5,2,1,4,3,6]=>[6,3,4,1,2,5,8,7]
[7,5,2,3,1,4,8,6]=>[6,8,4,1,3,2,5,7]
[7,4,6,2,3,8,1,5]=>[5,1,8,3,2,6,4,7]
[6,4,2,5,8,3,7,1]=>[1,7,3,8,5,2,4,6]
[4,7,1,5,3,8,2,6]=>[6,2,8,3,5,1,7,4]
[4,7,8,1,3,6,2,5]=>[5,2,6,3,1,8,7,4]
[5,7,1,3,4,6,2,8]=>[8,2,6,4,3,1,7,5]
[5,7,1,4,2,3,6,8]=>[8,6,3,2,4,1,7,5]
[5,8,1,3,2,4,6,7]=>[7,6,4,2,3,1,8,5]
[4,8,6,1,3,2,7,5]=>[5,7,2,3,1,6,8,4]
[8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]
[5,4,8,7,2,3,6,1]=>[1,6,3,2,7,8,4,5]
[5,4,8,7,3,1,2,6]=>[6,2,1,3,7,8,4,5]
[6,8,3,7,2,5,4,1]=>[1,4,5,2,7,3,8,6]
[5,4,6,8,2,3,7,1]=>[1,7,3,2,8,6,4,5]
[5,7,4,2,8,3,6,1]=>[1,6,3,8,2,4,7,5]
[6,4,7,2,1,8,3,5]=>[5,3,8,1,2,7,4,6]
[6,5,3,4,1,2,8,7]=>[7,8,2,1,4,3,5,6]
[6,8,5,4,1,3,2,7]=>[7,2,3,1,4,5,8,6]
[6,4,3,7,1,5,2,8]=>[8,2,5,1,7,3,4,6]
[7,4,2,6,1,5,3,8]=>[8,3,5,1,6,2,4,7]
[7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]
[6,4,2,8,1,5,7,3]=>[3,7,5,1,8,2,4,6]
[6,3,7,8,2,5,1,4]=>[4,1,5,2,8,7,3,6]
[7,3,5,6,4,2,1,8]=>[8,1,2,4,6,5,3,7]
[7,4,3,1,5,6,2,8]=>[8,2,6,5,1,3,4,7]
[7,4,5,2,6,1,3,8]=>[8,3,1,6,2,5,4,7]
[5,3,7,2,8,6,4,1]=>[1,4,6,8,2,7,3,5]
[5,3,8,2,6,7,4,1]=>[1,4,7,6,2,8,3,5]
[6,3,8,2,5,4,7,1]=>[1,7,4,5,2,8,3,6]
[6,4,8,2,1,5,7,3]=>[3,7,5,1,2,8,4,6]
[6,4,3,1,8,2,7,5]=>[5,7,2,8,1,3,4,6]
[5,3,7,8,2,6,4,1]=>[1,4,6,2,8,7,3,5]
[4,7,8,5,6,3,2,1]=>[1,2,3,6,5,8,7,4]
[5,3,7,6,8,2,4,1]=>[1,4,2,8,6,7,3,5]
[5,7,8,4,6,2,1,3]=>[3,1,2,6,4,8,7,5]
[5,8,4,3,6,7,1,2]=>[2,1,7,6,3,4,8,5]
[5,8,6,4,7,2,1,3]=>[3,1,2,7,4,6,8,5]
[5,3,8,6,2,7,4,1]=>[1,4,7,2,6,8,3,5]
[4,7,5,8,6,3,2,1]=>[1,2,3,6,8,5,7,4]
[4,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,4]
[6,3,8,7,2,4,1,5]=>[5,1,4,2,7,8,3,6]
[5,3,8,7,2,6,4,1]=>[1,4,6,2,7,8,3,5]
[5,3,8,6,7,2,4,1]=>[1,4,2,7,6,8,3,5]
[5,3,7,8,6,2,4,1]=>[1,4,2,6,8,7,3,5]
[5,7,6,4,8,2,1,3]=>[3,1,2,8,4,6,7,5]
[5,8,4,6,7,2,1,3]=>[3,1,2,7,6,4,8,5]
[6,4,2,8,1,7,3,5]=>[5,3,7,1,8,2,4,6]
[6,5,2,4,3,7,8,1]=>[1,8,7,3,4,2,5,6]
[5,4,6,2,8,7,1,3]=>[3,1,7,8,2,6,4,5]
[5,6,3,8,7,2,4,1]=>[1,4,2,7,8,3,6,5]
[6,7,4,3,1,8,2,5]=>[5,2,8,1,3,4,7,6]
[5,7,4,3,6,8,1,2]=>[2,1,8,6,3,4,7,5]
[5,7,3,8,6,2,4,1]=>[1,4,2,6,8,3,7,5]
[4,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,4]
[4,6,8,5,7,3,2,1]=>[1,2,3,7,5,8,6,4]
[5,6,8,3,7,2,4,1]=>[1,4,2,7,3,8,6,5]
[5,4,6,8,2,7,1,3]=>[3,1,7,2,8,6,4,5]
[3,6,7,8,2,5,1,4]=>[4,1,5,2,8,7,6,3]
[5,7,8,2,6,4,1,3]=>[3,1,4,6,2,8,7,5]
[3,6,8,5,7,1,4,2]=>[2,4,1,7,5,8,6,3]
[1,7,4,8,6,2,3,5]=>[5,3,2,6,8,4,7,1]
[3,6,2,5,7,8,1,4]=>[4,1,8,7,5,2,6,3]
[5,2,7,4,6,8,1,3]=>[3,1,8,6,4,7,2,5]
[5,3,6,7,1,8,4,2]=>[2,4,8,1,7,6,3,5]
[4,2,5,6,7,1,8,3]=>[3,8,1,7,6,5,2,4]
[8,2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2,8]
[7,2,6,3,5,1,8,4]=>[4,8,1,5,3,6,2,7]
[8,1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1,8]
[8,1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1,8]
[8,1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1,8]
[6,1,3,8,2,7,4,5]=>[5,4,7,2,8,3,1,6]
[6,2,7,3,1,5,8,4]=>[4,8,5,1,3,7,2,6]
[6,3,4,1,8,5,7,2]=>[2,7,5,8,1,4,3,6]
[7,3,4,1,5,8,6,2]=>[2,6,8,5,1,4,3,7]
[1,7,5,2,8,6,3,4]=>[4,3,6,8,2,5,7,1]
[3,7,4,1,8,5,6,2]=>[2,6,5,8,1,4,7,3]
[5,6,3,1,7,8,4,2]=>[2,4,8,7,1,3,6,5]
[3,6,4,8,1,5,7,2]=>[2,7,5,1,8,4,6,3]
[1,5,8,4,2,6,3,7]=>[7,3,6,2,4,8,5,1]
[3,5,7,4,1,6,8,2]=>[2,8,6,1,4,7,5,3]
[3,5,7,1,2,6,4,8]=>[8,4,6,2,1,7,5,3]
[4,5,1,8,2,3,7,6]=>[6,7,3,2,8,1,5,4]
[4,7,1,8,2,6,3,5]=>[5,3,6,2,8,1,7,4]
[6,3,1,8,5,2,4,7]=>[7,4,2,5,8,1,3,6]
[3,5,2,1,8,4,6,7]=>[7,6,4,8,1,2,5,3]
[7,5,1,2,3,8,6,4]=>[4,6,8,3,2,1,5,7]
[6,4,1,2,7,3,8,5]=>[5,8,3,7,2,1,4,6]
[5,2,6,1,3,4,8,7]=>[7,8,4,3,1,6,2,5]
[7,8,4,5,1,3,2,6]=>[6,2,3,1,5,4,8,7]
[6,7,1,3,2,5,4,8]=>[8,4,5,2,3,1,7,6]
[6,7,1,4,3,5,2,8]=>[8,2,5,3,4,1,7,6]
[7,8,2,3,1,5,4,6]=>[6,4,5,1,3,2,8,7]
[7,8,2,4,3,5,1,6]=>[6,1,5,3,4,2,8,7]
[7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]
[1,4,2,6,5,7,3,8]=>[8,3,7,5,6,2,4,1]
[5,6,1,4,2,7,3,8]=>[8,3,7,2,4,1,6,5]
[6,7,2,4,1,5,3,8]=>[8,3,5,1,4,2,7,6]
[6,7,2,4,3,5,1,8]=>[8,1,5,3,4,2,7,6]
[6,7,2,3,1,5,4,8]=>[8,4,5,1,3,2,7,6]
[6,7,3,5,4,8,1,2]=>[2,1,8,4,5,3,7,6]
[2,4,1,6,5,7,3,8]=>[8,3,7,5,6,1,4,2]
[1,5,2,6,4,7,3,8]=>[8,3,7,4,6,2,5,1]
[2,5,1,6,4,7,3,8]=>[8,3,7,4,6,1,5,2]
[3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]
[5,6,2,4,3,7,1,8]=>[8,1,7,3,4,2,6,5]
[4,5,2,6,1,7,3,8]=>[8,3,7,1,6,2,5,4]
[4,5,1,6,3,7,2,8]=>[8,2,7,3,6,1,5,4]
[4,5,3,6,1,7,2,8]=>[8,2,7,1,6,3,5,4]
[5,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,5]
[5,6,1,4,3,7,2,8]=>[8,2,7,3,4,1,6,5]
[5,6,1,3,2,7,4,8]=>[8,4,7,2,3,1,6,5]
[5,6,4,7,1,3,2,8]=>[8,2,3,1,7,4,6,5]
[6,7,5,8,1,3,2,4]=>[4,2,3,1,8,5,7,6]
[4,5,1,3,2,7,6,8]=>[8,6,7,2,3,1,5,4]
[4,6,5,7,1,3,2,8]=>[8,2,3,1,7,5,6,4]
[4,6,1,3,2,7,5,8]=>[8,5,7,2,3,1,6,4]
[1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]
[3,4,1,6,5,7,2,8]=>[8,2,7,5,6,1,4,3]
[4,5,2,3,1,7,6,8]=>[8,6,7,1,3,2,5,4]
[4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]
[4,6,5,7,3,8,1,2]=>[2,1,8,3,7,5,6,4]
[4,6,5,7,2,3,1,8]=>[8,1,3,2,7,5,6,4]
[3,5,1,6,4,7,2,8]=>[8,2,7,4,6,1,5,3]
[1,5,3,6,4,7,2,8]=>[8,2,7,4,6,3,5,1]
[1,5,3,6,2,7,4,8]=>[8,4,7,2,6,3,5,1]
[3,5,2,6,1,7,4,8]=>[8,4,7,1,6,2,5,3]
[3,5,2,6,4,7,1,8]=>[8,1,7,4,6,2,5,3]
[3,4,2,6,1,7,5,8]=>[8,5,7,1,6,2,4,3]
[4,6,2,3,1,7,5,8]=>[8,5,7,1,3,2,6,4]
[2,4,3,6,1,7,5,8]=>[8,5,7,1,6,3,4,2]
[2,5,3,6,4,7,1,8]=>[8,1,7,4,6,3,5,2]
[2,5,3,6,1,7,4,8]=>[8,4,7,1,6,3,5,2]
[4,6,2,7,3,5,8,1]=>[1,8,5,3,7,2,6,4]
[3,6,2,7,5,4,8,1]=>[1,8,4,5,7,2,6,3]
[4,6,1,7,3,8,2,5]=>[5,2,8,3,7,1,6,4]
[2,4,7,1,3,8,6,5]=>[5,6,8,3,1,7,4,2]
[5,2,6,7,4,3,8,1]=>[1,8,3,4,7,6,2,5]
[3,5,2,7,6,4,8,1]=>[1,8,4,6,7,2,5,3]
[1,5,7,4,3,8,2,6]=>[6,2,8,3,4,7,5,1]
[2,5,7,3,1,8,6,4]=>[4,6,8,1,3,7,5,2]
[1,5,7,2,8,3,6,4]=>[4,6,3,8,2,7,5,1]
[2,5,7,3,1,8,4,6]=>[6,4,8,1,3,7,5,2]
[1,5,7,3,4,8,2,6]=>[6,2,8,4,3,7,5,1]
[5,2,6,7,1,8,4,3]=>[3,4,8,1,7,6,2,5]
[1,3,7,2,8,5,6,4]=>[4,6,5,8,2,7,3,1]
[2,3,1,5,8,4,7,6]=>[6,7,4,8,5,1,3,2]
[2,1,5,6,8,4,3,7]=>[7,3,4,8,6,5,1,2]
[2,3,1,5,8,6,4,7]=>[7,4,6,8,5,1,3,2]
[1,3,7,2,8,5,4,6]=>[6,4,5,8,2,7,3,1]
[2,3,1,6,8,5,4,7]=>[7,4,5,8,6,1,3,2]
[4,6,2,7,1,8,3,5]=>[5,3,8,1,7,2,6,4]
[1,5,4,3,6,8,2,7]=>[7,2,8,6,3,4,5,1]
[1,6,4,5,7,8,3,2]=>[2,3,8,7,5,4,6,1]
[2,5,1,7,8,6,3,4]=>[4,3,6,8,7,1,5,2]
[1,3,6,2,8,7,4,5]=>[5,4,7,8,2,6,3,1]
[2,1,5,6,8,4,7,3]=>[3,7,4,8,6,5,1,2]
[2,4,1,7,8,5,6,3]=>[3,6,5,8,7,1,4,2]
[1,3,6,2,8,4,7,5]=>[5,7,4,8,2,6,3,1]
[2,1,5,6,8,7,3,4]=>[4,3,7,8,6,5,1,2]
[3,6,5,2,7,8,4,1]=>[1,4,8,7,2,5,6,3]
[6,2,4,7,5,8,3,1]=>[1,3,8,5,7,4,2,6]
[1,5,7,8,4,2,6,3]=>[3,6,2,4,8,7,5,1]
[3,7,4,1,8,6,2,5]=>[5,2,6,8,1,4,7,3]
[3,4,6,8,5,7,2,1]=>[1,2,7,5,8,6,4,3]
[4,2,5,7,3,1,8,6]=>[6,8,1,3,7,5,2,4]
[4,5,6,2,8,7,3,1]=>[1,3,7,8,2,6,5,4]
[2,5,6,8,1,7,4,3]=>[3,4,7,1,8,6,5,2]
[4,5,6,1,8,7,3,2]=>[2,3,7,8,1,6,5,4]
[4,5,6,3,1,8,7,2]=>[2,7,8,1,3,6,5,4]
[4,3,6,2,1,7,5,8]=>[8,5,7,1,2,6,3,4]
[4,6,3,2,1,7,5,8]=>[8,5,7,1,2,3,6,4]
[4,6,3,1,7,5,2,8]=>[8,2,5,7,1,3,6,4]
[4,5,3,7,6,1,8,2]=>[2,8,1,6,7,3,5,4]
[4,5,1,7,3,8,6,2]=>[2,6,8,3,7,1,5,4]
[2,5,7,1,4,3,8,6]=>[6,8,3,4,1,7,5,2]
[4,3,5,7,6,1,8,2]=>[2,8,1,6,7,5,3,4]
[4,3,2,6,1,7,5,8]=>[8,5,7,1,6,2,3,4]
[5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]
[5,3,1,6,2,7,4,8]=>[8,4,7,2,6,1,3,5]
[5,1,6,3,2,7,4,8]=>[8,4,7,2,3,6,1,5]
[2,6,1,4,7,5,3,8]=>[8,3,5,7,4,1,6,2]
[3,6,1,7,4,2,5,8]=>[8,5,2,4,7,1,6,3]
[4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]
[5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]
[5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]
[5,3,2,6,4,1,7,8]=>[8,7,1,4,6,2,3,5]
[5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]
[5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]
[4,2,6,3,1,7,8,5]=>[5,8,7,1,3,6,2,4]
[3,6,2,1,7,4,5,8]=>[8,5,4,7,1,2,6,3]
[3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]
[3,5,7,2,8,6,4,1]=>[1,4,6,8,2,7,5,3]
[2,4,7,1,3,6,5,8]=>[8,5,6,3,1,7,4,2]
[2,6,1,3,7,5,4,8]=>[8,4,5,7,3,1,6,2]
[3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]
[5,1,6,2,7,4,3,8]=>[8,3,4,7,2,6,1,5]
[5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]
[5,2,1,6,4,3,7,8]=>[8,7,3,4,6,1,2,5]
[5,4,2,1,6,3,7,8]=>[8,7,3,6,1,2,4,5]
[5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]
[5,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,5]
[5,1,6,4,2,7,3,8]=>[8,3,7,2,4,6,1,5]
[3,6,1,7,5,4,8,2]=>[2,8,4,5,7,1,6,3]
[2,6,1,5,4,3,7,8]=>[8,7,3,4,5,1,6,2]
[3,1,6,2,5,4,7,8]=>[8,7,4,5,2,6,1,3]
[5,1,6,4,3,2,7,8]=>[8,7,2,3,4,6,1,5]
[5,4,1,6,3,2,7,8]=>[8,7,2,3,6,1,4,5]
[5,4,3,1,6,2,7,8]=>[8,7,2,6,1,3,4,5]
[7,3,1,6,5,4,8,2]=>[2,8,4,5,6,1,3,7]
[7,2,8,1,5,4,3,6]=>[6,3,4,5,1,8,2,7]
[4,2,7,6,5,8,1,3]=>[3,1,8,5,6,7,2,4]
[3,8,2,6,5,4,1,7]=>[7,1,4,5,6,2,8,3]
[7,3,2,1,5,4,6,8]=>[8,6,4,5,1,2,3,7]
[7,2,8,6,1,4,3,5]=>[5,3,4,1,6,8,2,7]
[5,2,7,6,8,4,1,3]=>[3,1,4,8,6,7,2,5]
[3,8,7,2,5,4,1,6]=>[6,1,4,5,2,7,8,3]
[7,5,1,6,8,4,3,2]=>[2,3,4,8,6,1,5,7]
[7,4,2,1,5,6,3,8]=>[8,3,6,5,1,2,4,7]
[7,2,8,6,5,1,3,4]=>[4,3,1,5,6,8,2,7]
[5,3,2,6,7,4,1,8]=>[8,1,4,7,6,2,3,5]
[4,3,7,2,5,6,1,8]=>[8,1,6,5,2,7,3,4]
[6,7,1,4,3,2,5,8]=>[8,5,2,3,4,1,7,6]
[3,4,2,6,7,1,5,8]=>[8,5,1,7,6,2,4,3]
[3,7,1,6,5,2,4,8]=>[8,4,2,5,6,1,7,3]
[3,5,6,2,4,7,1,8]=>[8,1,7,4,2,6,5,3]
[3,5,8,7,2,4,6,1]=>[1,6,4,2,7,8,5,3]
[1,7,8,2,5,4,3,6]=>[6,3,4,5,2,8,7,1]
[8,7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7,8]
[2,5,6,4,7,1,3,8]=>[8,3,1,7,4,6,5,2]
[4,7,1,6,3,5,2,8]=>[8,2,5,3,6,1,7,4]
[4,5,3,8,7,2,6,1]=>[1,6,2,7,8,3,5,4]
[1,4,5,3,7,8,2,6]=>[6,2,8,7,3,5,4,1]
[1,4,8,2,7,6,3,5]=>[5,3,6,7,2,8,4,1]
[4,7,3,5,1,8,6,2]=>[2,6,8,1,5,3,7,4]
[8,7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7,8]
[2,5,8,7,4,6,1,3]=>[3,1,6,4,7,8,5,2]
[5,4,2,1,7,8,3,6]=>[6,3,8,7,1,2,4,5]
[4,7,8,3,5,2,1,6]=>[6,1,2,5,3,8,7,4]
[4,7,6,2,1,8,3,5]=>[5,3,8,1,2,6,7,4]
[1,4,6,7,3,5,8,2]=>[2,8,5,3,7,6,4,1]
[8,3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3,8]
[8,3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3,8]
[2,3,1,8,4,7,6,5]=>[5,6,7,4,8,1,3,2]
[2,7,4,8,6,5,1,3]=>[3,1,5,6,8,4,7,2]
[8,6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6,8]
[8,5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5,8]
[6,3,7,2,8,5,4,1]=>[1,4,5,8,2,7,3,6]
[1,6,3,8,2,7,5,4]=>[4,5,7,2,8,3,6,1]
[1,7,5,3,8,2,6,4]=>[4,6,2,8,3,5,7,1]
[6,2,7,4,1,8,5,3]=>[3,5,8,1,4,7,2,6]
[8,6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6,8]
[2,7,5,1,3,8,6,4]=>[4,6,8,3,1,5,7,2]
[1,7,6,4,3,8,2,5]=>[5,2,8,3,4,6,7,1]
[3,7,2,4,8,6,5,1]=>[1,5,6,8,4,2,7,3]
[3,4,2,8,7,6,1,5]=>[5,1,6,7,8,2,4,3]
[5,1,4,3,2,7,8,6]=>[6,8,7,2,3,4,1,5]
[3,7,8,5,2,4,1,6]=>[6,1,4,2,5,8,7,3]
[3,7,6,2,4,1,8,5]=>[5,8,1,4,2,6,7,3]
[1,6,8,2,5,7,4,3]=>[3,4,7,5,2,8,6,1]
[6,7,2,5,8,4,3,1]=>[1,3,4,8,5,2,7,6]
[5,2,7,8,4,3,1,6]=>[6,1,3,4,8,7,2,5]
[5,3,1,7,8,4,2,6]=>[6,2,4,8,7,1,3,5]
[2,7,6,4,1,3,8,5]=>[5,8,3,1,4,6,7,2]
[4,1,7,6,3,2,8,5]=>[5,8,2,3,6,7,1,4]
[8,4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4,8]
[6,3,1,7,5,2,8,4]=>[4,8,2,5,7,1,3,6]
[6,2,7,5,3,1,8,4]=>[4,8,1,3,5,7,2,6]
[1,5,8,2,7,4,6,3]=>[3,6,4,7,2,8,5,1]
[5,7,2,8,4,6,3,1]=>[1,3,6,4,8,2,7,5]
[5,7,3,1,8,4,6,2]=>[2,6,4,8,1,3,7,5]
[8,4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4,8]
[2,6,8,5,7,4,1,3]=>[3,1,4,7,5,8,6,2]
[6,5,2,1,7,4,8,3]=>[3,8,4,7,1,2,5,6]
[5,7,4,6,2,1,8,3]=>[3,8,1,2,6,4,7,5]
[5,6,4,8,3,7,2,1]=>[1,2,7,3,8,4,6,5]
[6,7,1,8,3,4,2,5]=>[5,2,4,3,8,1,7,6]
[7,8,3,5,1,4,2,6]=>[6,2,4,1,5,3,8,7]
[5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]
[6,7,2,4,3,8,1,5]=>[5,1,8,3,4,2,7,6]
[2,4,3,8,6,7,1,5]=>[5,1,7,6,8,3,4,2]
[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]
[2,5,4,8,3,6,1,7]=>[7,1,6,3,8,4,5,2]
[2,3,1,8,5,6,4,7]=>[7,4,6,5,8,1,3,2]
[5,7,3,6,4,8,1,2]=>[2,1,8,4,6,3,7,5]
[5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]
[5,7,2,4,3,6,1,8]=>[8,1,6,3,4,2,7,5]
[4,6,2,7,1,5,3,8]=>[8,3,5,1,7,2,6,4]
[4,7,1,6,2,5,3,8]=>[8,3,5,2,6,1,7,4]
[4,7,1,5,3,6,2,8]=>[8,2,6,3,5,1,7,4]
[4,6,3,5,1,7,2,8]=>[8,2,7,1,5,3,6,4]
[6,7,3,5,1,4,2,8]=>[8,2,4,1,5,3,7,6]
[5,6,3,7,1,4,2,8]=>[8,2,4,1,7,3,6,5]
[5,7,1,6,3,4,2,8]=>[8,2,4,3,6,1,7,5]
[1,8,5,6,3,4,2,7]=>[7,2,4,3,6,5,8,1]
[1,8,5,6,4,7,2,3]=>[3,2,7,4,6,5,8,1]
[5,7,1,6,4,8,2,3]=>[3,2,8,4,6,1,7,5]
[4,6,5,8,1,7,2,3]=>[3,2,7,1,8,5,6,4]
[3,7,1,4,2,8,5,6]=>[6,5,8,2,4,1,7,3]
[3,5,1,4,2,8,6,7]=>[7,6,8,2,4,1,5,3]
[4,6,5,8,3,7,1,2]=>[2,1,7,3,8,5,6,4]
[4,6,5,8,2,3,1,7]=>[7,1,3,2,8,5,6,4]
[3,4,2,6,5,8,1,7]=>[7,1,8,5,6,2,4,3]
[3,5,4,6,2,8,1,7]=>[7,1,8,2,6,4,5,3]
[1,8,3,5,4,7,2,6]=>[6,2,7,4,5,3,8,1]
[3,4,2,7,1,8,5,6]=>[6,5,8,1,7,2,4,3]
[4,7,2,3,1,8,5,6]=>[6,5,8,1,3,2,7,4]
[2,4,3,8,1,7,5,6]=>[6,5,7,1,8,3,4,2]
[2,5,3,8,4,7,1,6]=>[6,1,7,4,8,3,5,2]
[2,6,3,8,1,7,4,5]=>[5,4,7,1,8,3,6,2]
[2,7,1,8,3,6,4,5]=>[5,4,6,3,8,1,7,2]
[1,2,8,7,4,6,3,5]=>[5,3,6,4,7,8,2,1]
[3,7,4,8,6,1,5,2]=>[2,5,1,6,8,4,7,3]
[4,5,1,8,7,6,2,3]=>[3,2,6,7,8,1,5,4]
[1,5,2,8,7,6,3,4]=>[4,3,6,7,8,2,5,1]
[5,1,2,8,7,6,3,4]=>[4,3,6,7,8,2,1,5]
[4,1,5,8,7,6,2,3]=>[3,2,6,7,8,5,1,4]
[2,3,6,8,7,4,5,1]=>[1,5,4,7,8,6,3,2]
[2,3,7,8,6,4,5,1]=>[1,5,4,6,8,7,3,2]
[4,5,7,8,2,6,3,1]=>[1,3,6,2,8,7,5,4]
[4,5,6,8,2,7,3,1]=>[1,3,7,2,8,6,5,4]
[5,2,6,8,3,7,4,1]=>[1,4,7,3,8,6,2,5]
[3,1,6,8,7,4,5,2]=>[2,5,4,7,8,6,1,3]
[6,1,4,8,7,2,5,3]=>[3,5,2,7,8,4,1,6]
[6,1,8,4,7,3,5,2]=>[2,5,3,7,4,8,1,6]
[5,8,3,4,7,1,6,2]=>[2,6,1,7,4,3,8,5]
[6,8,3,5,7,1,4,2]=>[2,4,1,7,5,3,8,6]
[3,1,7,8,6,4,5,2]=>[2,5,4,6,8,7,1,3]
[5,2,7,8,3,6,4,1]=>[1,4,6,3,8,7,2,5]
[4,6,7,8,2,5,3,1]=>[1,3,5,2,8,7,6,4]
[7,4,5,2,8,6,3,1]=>[1,3,6,8,2,5,4,7]
[7,5,8,4,2,6,3,1]=>[1,3,6,2,4,8,5,7]
[6,8,4,5,2,7,3,1]=>[1,3,7,2,5,4,8,6]
[6,8,2,5,3,7,4,1]=>[1,4,7,3,5,2,8,6]
[6,3,8,4,2,7,5,1]=>[1,5,7,2,4,8,3,6]
[7,2,5,3,8,6,4,1]=>[1,4,6,8,3,5,2,7]
[3,4,7,5,8,6,2,1]=>[1,2,6,8,5,7,4,3]
[3,6,7,4,8,5,2,1]=>[1,2,5,8,4,7,6,3]
[6,7,4,2,8,5,3,1]=>[1,3,5,8,2,4,7,6]
[4,7,5,2,8,6,3,1]=>[1,3,6,8,2,5,7,4]
[2,7,5,3,8,6,4,1]=>[1,4,6,8,3,5,7,2]
[5,6,2,8,3,7,4,1]=>[1,4,7,3,8,2,6,5]
[5,7,8,3,2,6,4,1]=>[1,4,6,2,3,8,7,5]
[5,6,8,3,2,7,4,1]=>[1,4,7,2,3,8,6,5]
[3,6,8,4,2,7,5,1]=>[1,5,7,2,4,8,6,3]
[1,5,8,2,7,3,6,4]=>[4,6,3,7,2,8,5,1]
[5,8,4,7,2,3,6,1]=>[1,6,3,2,7,4,8,5]
[5,6,8,1,3,7,4,2]=>[2,4,7,3,1,8,6,5]
[6,7,4,8,1,5,3,2]=>[2,3,5,1,8,4,7,6]
[5,7,2,8,3,6,4,1]=>[1,4,6,3,8,2,7,5]
[1,7,4,8,6,2,5,3]=>[3,5,2,6,8,4,7,1]
[7,4,2,8,6,1,5,3]=>[3,5,1,6,8,2,4,7]
[6,8,5,3,7,2,4,1]=>[1,4,2,7,3,5,8,6]
[6,8,5,2,3,7,4,1]=>[1,4,7,3,2,5,8,6]
[7,5,3,8,2,6,4,1]=>[1,4,6,2,8,3,5,7]
[7,5,2,3,8,6,4,1]=>[1,4,6,8,3,2,5,7]
[3,7,4,5,8,6,2,1]=>[1,2,6,8,5,4,7,3]
[6,7,3,4,8,5,2,1]=>[1,2,5,8,4,3,7,6]
[3,6,4,7,8,5,2,1]=>[1,2,5,8,7,4,6,3]
[6,4,2,7,8,5,3,1]=>[1,3,5,8,7,2,4,6]
[7,4,2,5,8,6,3,1]=>[1,3,6,8,5,2,4,7]
[6,1,8,3,4,7,5,2]=>[2,5,7,4,3,8,1,6]
[6,8,4,2,5,7,3,1]=>[1,3,7,5,2,4,8,6]
[7,5,8,3,4,6,2,1]=>[1,2,6,4,3,8,5,7]
[7,4,5,8,1,6,3,2]=>[2,3,6,1,8,5,4,7]
[6,3,4,7,8,5,2,1]=>[1,2,5,8,7,4,3,6]
[6,1,7,3,4,5,8,2]=>[2,8,5,4,3,7,1,6]
[5,7,2,3,4,1,8,6]=>[6,8,1,4,3,2,7,5]
[2,7,1,8,4,5,6,3]=>[3,6,5,4,8,1,7,2]
[2,6,8,3,4,5,1,7]=>[7,1,5,4,3,8,6,2]
[6,1,2,7,4,5,8,3]=>[3,8,5,4,7,2,1,6]
[4,7,2,3,1,5,8,6]=>[6,8,5,1,3,2,7,4]
[2,7,1,3,8,5,6,4]=>[4,6,5,8,3,1,7,2]
[2,6,7,8,4,5,3,1]=>[1,3,5,4,8,7,6,2]
[2,5,8,3,4,1,6,7]=>[7,6,1,4,3,8,5,2]
[5,6,2,7,4,3,8,1]=>[1,8,3,4,7,2,6,5]
[4,6,7,3,2,5,8,1]=>[1,8,5,2,3,7,6,4]
[2,6,7,3,8,5,4,1]=>[1,4,5,8,3,7,6,2]
[2,6,1,8,4,5,3,7]=>[7,3,5,4,8,1,6,2]
[2,5,7,8,4,3,6,1]=>[1,6,3,4,8,7,5,2]
[3,6,8,4,5,7,1,2]=>[2,1,7,5,4,8,6,3]
[1,6,8,4,7,2,3,5]=>[5,3,2,7,4,8,6,1]
[1,4,5,7,8,2,6,3]=>[3,6,2,8,7,5,4,1]
[3,4,5,7,8,6,1,2]=>[2,1,6,8,7,5,4,3]
[3,4,5,7,6,8,1,2]=>[2,1,8,6,7,5,4,3]
[3,6,7,4,8,5,1,2]=>[2,1,5,8,4,7,6,3]
[3,4,5,6,8,7,1,2]=>[2,1,7,8,6,5,4,3]
[1,4,5,8,7,2,3,6]=>[6,3,2,7,8,5,4,1]
[1,2,5,8,3,6,4,7]=>[7,4,6,3,8,5,2,1]
[1,4,5,8,6,2,3,7]=>[7,3,2,6,8,5,4,1]
[7,8,1,4,6,2,3,5]=>[5,3,2,6,4,1,8,7]
[1,6,7,4,8,2,5,3]=>[3,5,2,8,4,7,6,1]
[1,4,5,6,8,2,7,3]=>[3,7,2,8,6,5,4,1]
[1,4,5,8,6,2,7,3]=>[3,7,2,6,8,5,4,1]
[1,2,5,8,3,4,7,6]=>[6,7,4,3,8,5,2,1]
[1,6,7,2,3,5,8,4]=>[4,8,5,3,2,7,6,1]
[7,8,1,2,3,5,4,6]=>[6,4,5,3,2,1,8,7]
[1,6,7,2,3,5,4,8]=>[8,4,5,3,2,7,6,1]
[1,4,5,7,6,2,3,8]=>[8,3,2,6,7,5,4,1]
[1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]
[1,2,5,7,3,6,8,4]=>[4,8,6,3,7,5,2,1]
[1,6,8,2,3,5,7,4]=>[4,7,5,3,2,8,6,1]
[1,6,8,4,5,2,3,7]=>[7,3,2,5,4,8,6,1]
[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]
[1,6,8,2,3,4,7,5]=>[5,7,4,3,2,8,6,1]
[1,6,8,2,3,7,4,5]=>[5,4,7,3,2,8,6,1]
[1,4,5,7,6,2,8,3]=>[3,8,2,6,7,5,4,1]
[7,8,1,4,5,2,6,3]=>[3,6,2,5,4,1,8,7]
[7,8,1,2,3,4,6,5]=>[5,6,4,3,2,1,8,7]
[7,8,1,2,3,6,4,5]=>[5,4,6,3,2,1,8,7]
[1,6,7,2,3,8,5,4]=>[4,5,8,3,2,7,6,1]
[1,2,5,6,3,8,7,4]=>[4,7,8,3,6,5,2,1]
[4,2,1,6,5,3,8,7]=>[7,8,3,5,6,1,2,4]
[8,2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2,8]
[6,2,4,3,1,8,7,5]=>[5,7,8,1,3,4,2,6]
[4,2,6,3,5,1,8,7]=>[7,8,1,5,3,6,2,4]
[4,6,2,1,5,8,7,3]=>[3,7,8,5,1,2,6,4]
[4,6,5,2,1,8,7,3]=>[3,7,8,1,2,5,6,4]
[2,1,6,4,3,8,7,5]=>[5,7,8,3,4,6,1,2]
[4,8,2,1,6,7,3,5]=>[5,3,7,6,1,2,8,4]
[6,8,2,1,4,3,7,5]=>[5,7,3,4,1,2,8,6]
[8,6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6,8]
[6,8,2,4,3,1,7,5]=>[5,7,1,3,4,2,8,6]
[6,8,7,2,4,3,1,5]=>[5,1,3,4,2,7,8,6]
[2,1,8,4,6,5,3,7]=>[7,3,5,6,4,8,1,2]
[2,1,6,4,8,5,7,3]=>[3,7,5,8,4,6,1,2]
[4,6,5,2,8,3,7,1]=>[1,7,3,8,2,5,6,4]
[2,6,4,5,8,3,7,1]=>[1,7,3,8,5,4,6,2]
[6,4,2,8,3,5,7,1]=>[1,7,5,3,8,2,4,6]
[8,4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4,8]
[6,2,4,8,5,3,7,1]=>[1,7,3,5,8,4,2,6]
[4,2,6,3,5,8,7,1]=>[1,7,8,5,3,6,2,4]
[4,2,6,3,8,7,5,1]=>[1,5,7,8,3,6,2,4]
[6,2,4,3,8,5,7,1]=>[1,7,5,8,3,4,2,6]
[8,2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2,8]
[8,2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2,8]
[6,2,1,4,8,5,7,3]=>[3,7,5,8,4,1,2,6]
[6,2,1,8,7,4,3,5]=>[5,3,4,7,8,1,2,6]
[6,2,1,8,4,3,7,5]=>[5,7,3,4,8,1,2,6]
[8,4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4,8]
[6,4,8,5,2,1,7,3]=>[3,7,1,2,5,8,4,6]
[6,4,8,5,7,2,1,3]=>[3,1,2,7,5,8,4,6]
[4,6,8,7,5,2,1,3]=>[3,1,2,5,7,8,6,4]
[2,1,4,8,6,7,3,5]=>[5,3,7,6,8,4,1,2]
[2,6,8,7,4,5,1,3]=>[3,1,5,4,7,8,6,2]
[2,4,8,6,7,5,1,3]=>[3,1,5,7,6,8,4,2]
[4,2,8,6,5,7,1,3]=>[3,1,7,5,6,8,2,4]
[8,2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2,8]
[8,4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4,8]
[4,6,8,7,2,1,5,3]=>[3,5,1,2,7,8,6,4]
[4,6,5,8,2,1,7,3]=>[3,7,1,2,8,5,6,4]
[2,1,6,8,4,3,7,5]=>[5,7,3,4,8,6,1,2]
[6,8,7,4,2,1,3,5]=>[5,3,1,2,4,7,8,6]
[2,8,6,4,7,1,3,5]=>[5,3,1,7,4,6,8,2]
[4,8,6,2,1,7,3,5]=>[5,3,7,1,2,6,8,4]
[2,8,5,3,1,4,6,7]=>[7,6,4,1,3,5,8,2]
[2,7,4,8,3,5,1,6]=>[6,1,5,3,8,4,7,2]
[2,7,4,8,3,5,6,1]=>[1,6,5,3,8,4,7,2]
[7,2,8,4,3,5,1,6]=>[6,1,5,3,4,8,2,7]
[8,4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4,8]
[8,5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5,8]
[8,4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4,8]
[6,7,3,8,4,2,5,1]=>[1,5,2,4,8,3,7,6]
[6,7,3,8,4,2,1,5]=>[5,1,2,4,8,3,7,6]
[7,1,8,4,3,5,2,6]=>[6,2,5,3,4,8,1,7]
[1,7,8,4,3,5,2,6]=>[6,2,5,3,4,8,7,1]
[7,1,4,8,3,5,2,6]=>[6,2,5,3,8,4,1,7]
[7,4,8,1,5,6,2,3]=>[3,2,6,5,1,8,4,7]
[7,1,8,4,3,5,6,2]=>[2,6,5,3,4,8,1,7]
[6,7,3,1,8,4,5,2]=>[2,5,4,8,1,3,7,6]
[6,7,3,8,4,5,2,1]=>[1,2,5,4,8,3,7,6]
[6,7,1,4,8,3,5,2]=>[2,5,3,8,4,1,7,6]
[6,7,4,1,3,8,2,5]=>[5,2,8,3,1,4,7,6]
[1,6,7,8,4,3,2,5]=>[5,2,3,4,8,7,6,1]
[7,2,1,8,4,5,3,6]=>[6,3,5,4,8,1,2,7]
[6,2,7,1,8,4,3,5]=>[5,3,4,8,1,7,2,6]
[6,2,7,8,4,3,1,5]=>[5,1,3,4,8,7,2,6]
[6,2,7,8,4,3,5,1]=>[1,5,3,4,8,7,2,6]
[2,6,7,4,8,3,5,1]=>[1,5,3,8,4,7,6,2]
[2,6,7,4,8,3,1,5]=>[5,1,3,8,4,7,6,2]
[7,8,1,3,6,2,4,5]=>[5,4,2,6,3,1,8,7]
[1,2,7,8,6,3,4,5]=>[5,4,3,6,8,7,2,1]
[2,6,7,1,8,5,3,4]=>[4,3,5,8,1,7,6,2]
[2,6,7,8,5,3,1,4]=>[4,1,3,5,8,7,6,2]
[2,6,7,8,5,3,4,1]=>[1,4,3,5,8,7,6,2]
[6,2,7,8,4,5,3,1]=>[1,3,5,4,8,7,2,6]
[7,2,1,8,4,5,6,3]=>[3,6,5,4,8,1,2,7]
[1,7,2,8,4,5,6,3]=>[3,6,5,4,8,2,7,1]
[3,7,8,1,5,6,2,4]=>[4,2,6,5,1,8,7,3]
[6,3,7,8,1,5,2,4]=>[4,2,5,1,8,7,3,6]
[6,7,1,2,8,5,3,4]=>[4,3,5,8,2,1,7,6]
[1,6,7,8,4,2,5,3]=>[3,5,2,4,8,7,6,1]
[3,1,2,7,6,5,8,4]=>[4,8,5,6,7,2,1,3]
[6,1,2,4,7,3,8,5]=>[5,8,3,7,4,2,1,6]
[1,7,5,3,6,4,8,2]=>[2,8,4,6,3,5,7,1]
[5,1,2,6,7,4,8,3]=>[3,8,4,7,6,2,1,5]
[4,1,5,7,3,2,6,8]=>[8,6,2,3,7,5,1,4]
[4,6,1,7,3,2,5,8]=>[8,5,2,3,7,1,6,4]
[4,6,1,8,3,2,5,7]=>[7,5,2,3,8,1,6,4]
[4,7,1,8,3,5,2,6]=>[6,2,5,3,8,1,7,4]
[4,1,7,8,6,2,3,5]=>[5,3,2,6,8,7,1,4]
[1,6,5,7,8,3,4,2]=>[2,4,3,8,7,5,6,1]
[1,6,5,8,7,3,4,2]=>[2,4,3,7,8,5,6,1]
[4,1,8,7,6,2,3,5]=>[5,3,2,6,7,8,1,4]
[4,8,1,7,3,5,2,6]=>[6,2,5,3,7,1,8,4]
[4,8,1,6,3,2,5,7]=>[7,5,2,3,6,1,8,4]
[4,7,1,6,3,2,5,8]=>[8,5,2,3,6,1,7,4]
[6,1,2,3,7,5,4,8]=>[8,4,5,7,3,2,1,6]
[6,8,1,5,3,7,2,4]=>[4,2,7,3,5,1,8,6]
[8,7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7,8]
[1,5,7,3,4,8,6,2]=>[2,6,8,4,3,7,5,1]
[1,5,8,3,4,7,6,2]=>[2,6,7,4,3,8,5,1]
[7,8,5,2,4,1,6,3]=>[3,6,1,4,2,5,8,7]
[7,1,2,3,5,6,4,8]=>[8,4,6,5,3,2,1,7]
[8,1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1,8]
[8,1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1,8]
[7,1,8,4,6,3,2,5]=>[5,2,3,6,4,8,1,7]
[6,8,2,4,3,1,5,7]=>[7,5,1,3,4,2,8,6]
[6,7,2,4,3,1,5,8]=>[8,5,1,3,4,2,7,6]
[3,8,1,2,4,5,7,6]=>[6,7,5,4,2,1,8,3]
[3,7,1,8,6,4,2,5]=>[5,2,4,6,8,1,7,3]
[1,6,4,3,7,5,8,2]=>[2,8,5,7,3,4,6,1]
[3,1,2,6,7,5,8,4]=>[4,8,5,7,6,2,1,3]
[3,8,1,7,6,4,2,5]=>[5,2,4,6,7,1,8,3]
[7,6,2,4,3,1,5,8]=>[8,5,1,3,4,2,6,7]
[8,7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7,8]
[8,1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1,8]
[8,1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1,8]
[1,5,7,3,4,6,8,2]=>[2,8,6,4,3,7,5,1]
[8,7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7,8]
[7,1,2,3,5,4,8,6]=>[6,8,4,5,3,2,1,7]
[6,1,2,3,5,8,4,7]=>[7,4,8,5,3,2,1,6]
[6,1,2,3,5,7,4,8]=>[8,4,7,5,3,2,1,6]
[5,1,2,3,7,6,4,8]=>[8,4,6,7,3,2,1,5]
[5,1,2,3,8,6,4,7]=>[7,4,6,8,3,2,1,5]
[1,5,6,3,4,7,8,2]=>[2,8,7,4,3,6,5,1]
[8,6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6,8]
[7,6,2,5,3,1,8,4]=>[4,8,1,3,5,2,6,7]
[7,4,5,2,3,8,6,1]=>[1,6,8,3,2,5,4,7]
[8,2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2,8]
[8,4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4,8]
[5,4,6,3,1,2,8,7]=>[7,8,2,1,3,6,4,5]
[4,6,2,3,1,5,8,7]=>[7,8,5,1,3,2,6,4]
[7,2,3,4,5,8,6,1]=>[1,6,8,5,4,3,2,7]
[8,2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2,8]
[7,3,4,6,8,5,1,2]=>[2,1,5,8,6,4,3,7]
[4,7,3,2,8,6,1,5]=>[5,1,6,8,2,3,7,4]
[3,7,4,5,1,8,6,2]=>[2,6,8,1,5,4,7,3]
[3,8,2,6,7,4,5,1]=>[1,5,4,7,6,2,8,3]
[4,8,1,5,6,7,3,2]=>[2,3,7,6,5,1,8,4]
[5,8,2,4,6,7,1,3]=>[3,1,7,6,4,2,8,5]
[6,8,1,3,4,2,7,5]=>[5,7,2,4,3,1,8,6]
[5,8,2,4,3,1,7,6]=>[6,7,1,3,4,2,8,5]
[2,1,7,6,8,5,3,4]=>[4,3,5,8,6,7,1,2]
[3,7,6,1,8,5,2,4]=>[4,2,5,8,1,6,7,3]
[4,7,2,3,8,5,1,6]=>[6,1,5,8,3,2,7,4]
[7,1,3,6,4,8,5,2]=>[2,5,8,4,6,3,1,7]
[7,6,1,4,8,5,2,3]=>[3,2,5,8,4,1,6,7]
[6,2,3,7,8,5,4,1]=>[1,4,5,8,7,3,2,6]
[6,2,3,8,4,5,1,7]=>[7,1,5,4,8,3,2,6]
[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]
[8,2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2,8]
[6,4,8,3,5,1,7,2]=>[2,7,1,5,3,8,4,6]
[5,4,8,3,6,7,1,2]=>[2,1,7,6,3,8,4,5]
[3,5,1,8,4,6,7,2]=>[2,7,6,4,8,1,5,3]
[3,6,1,8,4,5,2,7]=>[7,2,5,4,8,1,6,3]
[4,6,8,3,5,2,7,1]=>[1,7,2,5,3,8,6,4]
[5,7,8,3,2,4,1,6]=>[6,1,4,2,3,8,7,5]
[4,8,2,3,5,6,1,7]=>[7,1,6,5,3,2,8,4]
[6,8,2,3,1,4,5,7]=>[7,5,4,1,3,2,8,6]
[5,2,7,4,8,3,1,6]=>[6,1,3,8,4,7,2,5]
[3,7,8,2,1,4,6,5]=>[5,6,4,1,2,8,7,3]
[3,7,5,2,8,4,1,6]=>[6,1,4,8,2,5,7,3]
[6,3,2,4,1,8,7,5]=>[5,7,8,1,4,2,3,6]
[7,2,3,4,8,5,1,6]=>[6,1,5,8,4,3,2,7]
[5,7,3,1,4,2,6,8]=>[8,6,2,4,1,3,7,5]
[3,7,4,1,8,2,5,6]=>[6,5,2,8,1,4,7,3]
[6,3,7,4,8,1,2,5]=>[5,2,1,8,4,7,3,6]
[8,3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3,8]
[3,7,4,1,5,6,2,8]=>[8,2,6,5,1,4,7,3]
[1,8,3,2,4,5,7,6]=>[6,7,5,4,2,3,8,1]
[8,4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4,8]
[8,7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7,8]
[8,3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3,8]
[1,5,3,8,7,6,4,2]=>[2,4,6,7,8,3,5,1]
[7,2,4,8,1,3,6,5]=>[5,6,3,1,8,4,2,7]
[1,2,8,7,5,6,3,4]=>[4,3,6,5,7,8,2,1]
[3,1,8,6,7,5,2,4]=>[4,2,5,7,6,8,1,3]
[1,4,8,6,5,7,2,3]=>[3,2,7,5,6,8,4,1]
[1,6,5,4,8,2,3,7]=>[7,3,2,8,4,5,6,1]
[5,1,6,8,3,4,2,7]=>[7,2,4,3,8,6,1,5]
[6,2,5,1,7,4,3,8]=>[8,3,4,7,1,5,2,6]
[5,2,1,8,7,4,3,6]=>[6,3,4,7,8,1,2,5]
[5,2,6,3,8,1,4,7]=>[7,4,1,8,3,6,2,5]
[5,2,8,3,4,6,1,7]=>[7,1,6,4,3,8,2,5]
[6,2,8,4,3,1,7,5]=>[5,7,1,3,4,8,2,6]
[7,2,8,1,3,6,5,4]=>[4,5,6,3,1,8,2,7]
[7,3,8,1,4,6,2,5]=>[5,2,6,4,1,8,3,7]
[1,7,8,5,4,6,3,2]=>[2,3,6,4,5,8,7,1]
[1,5,8,4,6,3,7,2]=>[2,7,3,6,4,8,5,1]
[5,3,8,4,1,2,7,6]=>[6,7,2,1,4,8,3,5]
[5,8,4,3,6,2,1,7]=>[7,1,2,6,3,4,8,5]
[1,8,3,6,5,2,7,4]=>[4,7,2,5,6,3,8,1]
[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]
[3,8,1,4,6,7,5,2]=>[2,5,7,6,4,1,8,3]
[3,8,2,5,1,7,6,4]=>[4,6,7,1,5,2,8,3]
[4,3,8,2,5,1,6,7]=>[7,6,1,5,2,8,3,4]
[8,2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2,8]
[8,2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2,8]
[8,1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1,8]
[6,1,5,2,4,7,8,3]=>[3,8,7,4,2,5,1,6]
[4,1,8,5,2,7,6,3]=>[3,6,7,2,5,8,1,4]
[4,8,5,1,3,6,2,7]=>[7,2,6,3,1,5,8,4]
[3,6,1,5,7,2,8,4]=>[4,8,2,7,5,1,6,3]
[6,3,1,2,8,5,7,4]=>[4,7,5,8,2,1,3,6]
[4,1,8,2,3,7,5,6]=>[6,5,7,3,2,8,1,4]
[5,3,8,7,2,1,4,6]=>[6,4,1,2,7,8,3,5]
[6,7,3,5,1,4,8,2]=>[2,8,4,1,5,3,7,6]
[6,4,7,5,8,2,3,1]=>[1,3,2,8,5,7,4,6]
[5,7,8,4,2,6,3,1]=>[1,3,6,2,4,8,7,5]
[5,4,7,6,2,8,3,1]=>[1,3,8,2,6,7,4,5]
[5,7,4,1,6,8,3,2]=>[2,3,8,6,1,4,7,5]
[6,8,4,5,7,1,3,2]=>[2,3,1,7,5,4,8,6]
[5,8,4,6,1,7,3,2]=>[2,3,7,1,6,4,8,5]
[5,6,1,4,7,8,3,2]=>[2,3,8,7,4,1,6,5]
[5,6,7,2,4,8,3,1]=>[1,3,8,4,2,7,6,5]
[5,6,3,7,4,8,2,1]=>[1,2,8,4,7,3,6,5]
[5,3,6,7,4,8,2,1]=>[1,2,8,4,7,6,3,5]
[5,3,2,8,6,7,4,1]=>[1,4,7,6,8,2,3,5]
[5,4,8,2,6,7,3,1]=>[1,3,7,6,2,8,4,5]
[5,4,8,6,2,7,3,1]=>[1,3,7,2,6,8,4,5]
[6,4,8,5,7,2,3,1]=>[1,3,2,7,5,8,4,6]
[7,4,8,5,6,2,1,3]=>[3,1,2,6,5,8,4,7]
[4,6,8,5,7,2,3,1]=>[1,3,2,7,5,8,6,4]
[5,6,3,8,4,7,2,1]=>[1,2,7,4,8,3,6,5]
[4,6,3,5,8,7,2,1]=>[1,2,7,8,5,3,6,4]
[4,6,3,2,8,7,5,1]=>[1,5,7,8,2,3,6,4]
[5,6,3,8,2,7,4,1]=>[1,4,7,2,8,3,6,5]
[3,6,5,8,7,2,4,1]=>[1,4,2,7,8,5,6,3]
[5,3,6,8,2,7,4,1]=>[1,4,7,2,8,6,3,5]
[4,3,7,2,8,6,5,1]=>[1,5,6,8,2,7,3,4]
[5,4,7,2,6,8,3,1]=>[1,3,8,6,2,7,4,5]
[5,3,2,7,6,8,4,1]=>[1,4,8,6,7,2,3,5]
[6,7,3,8,5,2,4,1]=>[1,4,2,5,8,3,7,6]
[6,3,2,7,5,4,8,1]=>[1,8,4,5,7,2,3,6]
[6,4,7,2,5,3,8,1]=>[1,8,3,5,2,7,4,6]
[6,2,7,5,1,4,8,3]=>[3,8,4,1,5,7,2,6]
[2,7,8,5,3,6,1,4]=>[4,1,6,3,5,8,7,2]
[6,3,7,8,4,2,5,1]=>[1,5,2,4,8,7,3,6]
[3,5,7,8,4,6,2,1]=>[1,2,6,4,8,7,5,3]
[5,3,7,8,4,6,2,1]=>[1,2,6,4,8,7,3,5]
[5,7,8,2,4,6,3,1]=>[1,3,6,4,2,8,7,5]
[2,5,8,4,3,7,6,1]=>[1,6,7,3,4,8,5,2]
[2,6,8,4,7,3,5,1]=>[1,5,3,7,4,8,6,2]
[3,7,4,8,6,2,1,5]=>[5,1,2,6,8,4,7,3]
[3,6,4,8,7,2,5,1]=>[1,5,2,7,8,4,6,3]
[3,5,4,8,2,7,6,1]=>[1,6,7,2,8,4,5,3]
[4,3,7,5,8,6,2,1]=>[1,2,6,8,5,7,3,4]
[4,5,7,3,8,6,2,1]=>[1,2,6,8,3,7,5,4]
[3,5,6,8,4,7,2,1]=>[1,2,7,4,8,6,5,3]
[6,3,1,8,7,5,4,2]=>[2,4,5,7,8,1,3,6]
[5,4,8,1,7,6,3,2]=>[2,3,6,7,1,8,4,5]
[5,8,4,1,7,6,3,2]=>[2,3,6,7,1,4,8,5]
[7,5,4,1,8,6,3,2]=>[2,3,6,8,1,4,5,7]
[8,5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5,8]
[1,8,2,5,6,3,4,7]=>[7,4,3,6,5,2,8,1]
[7,2,8,4,5,1,3,6]=>[6,3,1,5,4,8,2,7]
[1,3,7,5,6,2,4,8]=>[8,4,2,6,5,7,3,1]
[1,6,7,4,3,5,2,8]=>[8,2,5,3,4,7,6,1]
[1,8,5,2,3,7,4,6]=>[6,4,7,3,2,5,8,1]
[1,8,2,5,3,6,7,4]=>[4,7,6,3,5,2,8,1]
[2,6,8,4,3,5,7,1]=>[1,7,5,3,4,8,6,2]
[7,5,8,3,2,1,6,4]=>[4,6,1,2,3,8,5,7]
[7,2,8,4,1,5,6,3]=>[3,6,5,1,4,8,2,7]
[7,5,8,1,2,6,3,4]=>[4,3,6,2,1,8,5,7]
[1,6,7,4,3,2,8,5]=>[5,8,2,3,4,7,6,1]
[1,5,2,6,4,7,8,3]=>[3,8,7,4,6,2,5,1]
[1,5,4,6,2,3,7,8]=>[8,7,3,2,6,4,5,1]
[6,2,5,7,1,4,8,3]=>[3,8,4,1,7,5,2,6]
[6,5,4,3,8,1,7,2]=>[2,7,1,8,3,4,5,6]
[7,3,6,8,5,2,4,1]=>[1,4,2,5,8,6,3,7]
[2,7,8,3,6,5,1,4]=>[4,1,5,6,3,8,7,2]
[2,7,8,5,4,6,3,1]=>[1,3,6,4,5,8,7,2]
[2,6,5,8,3,4,1,7]=>[7,1,4,3,8,5,6,2]
[2,6,5,7,3,4,1,8]=>[8,1,4,3,7,5,6,2]
[6,2,5,7,4,1,3,8]=>[8,3,1,4,7,5,2,6]
[6,2,5,8,4,1,3,7]=>[7,3,1,4,8,5,2,6]
[2,7,8,4,6,1,3,5]=>[5,3,1,6,4,8,7,2]
[6,1,2,8,3,7,4,5]=>[5,4,7,3,8,2,1,6]
[6,1,2,8,5,4,7,3]=>[3,7,4,5,8,2,1,6]
[6,2,5,7,8,1,3,4]=>[4,3,1,8,7,5,2,6]
[1,5,4,2,6,7,3,8]=>[8,3,7,6,2,4,5,1]
[2,6,5,7,3,8,1,4]=>[4,1,8,3,7,5,6,2]
[1,6,2,7,5,8,4,3]=>[3,4,8,5,7,2,6,1]
[1,3,2,7,8,5,6,4]=>[4,6,5,8,7,2,3,1]
[1,6,2,4,8,7,3,5]=>[5,3,7,8,4,2,6,1]
[6,5,2,1,8,7,3,4]=>[4,3,7,8,1,2,5,6]
[2,6,5,3,7,8,4,1]=>[1,4,8,7,3,5,6,2]
[6,2,5,3,8,4,7,1]=>[1,7,4,8,3,5,2,6]
[6,5,2,3,8,7,1,4]=>[4,1,7,8,3,2,5,6]
[5,4,1,2,3,8,6,7]=>[7,6,8,3,2,1,4,5]
[5,1,4,2,3,7,8,6]=>[6,8,7,3,2,4,1,5]
[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]
[5,1,6,3,8,2,7,4]=>[4,7,2,8,3,6,1,5]
[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]
[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]
[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]
[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]
[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]
[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]
[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]
[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]
[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]
[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]
[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]
[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]
[8,7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7,8]
[8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]
[2,4,8,5,3,7,1,6]=>[6,1,7,3,5,8,4,2]
[2,4,1,8,5,3,7,6]=>[6,7,3,5,8,1,4,2]
[2,4,8,6,3,1,7,5]=>[5,7,1,3,6,8,4,2]
[3,4,6,8,2,1,7,5]=>[5,7,1,2,8,6,4,3]
[3,4,1,5,8,2,7,6]=>[6,7,2,8,5,1,4,3]
[8,1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1,8]
[3,4,1,5,2,8,7,6]=>[6,7,8,2,5,1,4,3]
[3,4,6,2,1,8,7,5]=>[5,7,8,1,2,6,4,3]
[3,5,6,2,1,7,8,4]=>[4,8,7,1,2,6,5,3]
[3,4,6,2,7,8,1,5]=>[5,1,8,7,2,6,4,3]
[8,1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1,8]
[8,1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1,8]
[3,5,6,2,1,7,4,8]=>[8,4,7,1,2,6,5,3]
[8,1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1,8]
[8,1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1,8]
[3,4,1,6,8,7,2,5]=>[5,2,7,8,6,1,4,3]
[3,5,6,1,8,7,2,4]=>[4,2,7,8,1,6,5,3]
[2,1,3,8,6,7,4,5]=>[5,4,7,6,8,3,1,2]
[8,1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1,8]
[2,3,8,6,7,1,5,4]=>[4,5,1,7,6,8,3,2]
[2,4,1,8,6,7,5,3]=>[3,5,7,6,8,1,4,2]
[2,5,8,6,1,7,4,3]=>[3,4,7,1,6,8,5,2]
[3,5,6,1,8,7,4,2]=>[2,4,7,8,1,6,5,3]
[3,4,1,6,8,7,5,2]=>[2,5,7,8,6,1,4,3]
[3,4,6,8,7,1,5,2]=>[2,5,1,7,8,6,4,3]
[8,1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1,8]
[3,5,1,6,7,8,4,2]=>[2,4,8,7,6,1,5,3]
[4,5,6,1,7,8,3,2]=>[2,3,8,7,1,6,5,4]
[4,5,6,1,7,3,8,2]=>[2,8,3,7,1,6,5,4]
[3,5,1,6,7,4,8,2]=>[2,8,4,7,6,1,5,3]
[8,1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1,8]
[8,1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1,8]
[3,5,1,6,7,4,2,8]=>[8,2,4,7,6,1,5,3]
[4,5,6,1,7,3,2,8]=>[8,2,3,7,1,6,5,4]
[6,5,8,7,4,3,1,2]=>[2,1,3,4,7,8,5,6]
[6,4,2,7,8,5,1,3]=>[3,1,5,8,7,2,4,6]
[6,1,4,8,7,5,2,3]=>[3,2,5,7,8,4,1,6]
[1,6,4,8,7,5,2,3]=>[3,2,5,7,8,4,6,1]
[1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]
[8,1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1,8]
[7,6,2,1,4,8,3,5]=>[5,3,8,4,1,2,6,7]
[6,4,1,7,8,5,2,3]=>[3,2,5,8,7,1,4,6]
[7,6,1,2,4,8,3,5]=>[5,3,8,4,2,1,6,7]
[7,6,1,3,4,8,2,5]=>[5,2,8,4,3,1,6,7]
[8,1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1,8]
[1,8,6,3,4,7,2,5]=>[5,2,7,4,3,6,8,1]
[1,7,2,5,4,8,3,6]=>[6,3,8,4,5,2,7,1]
[7,1,2,5,4,8,3,6]=>[6,3,8,4,5,2,1,7]
[2,7,1,5,4,8,3,6]=>[6,3,8,4,5,1,7,2]
[2,8,6,3,4,7,1,5]=>[5,1,7,4,3,6,8,2]
[2,8,6,1,4,7,3,5]=>[5,3,7,4,1,6,8,2]
[7,2,1,5,4,8,3,6]=>[6,3,8,4,5,1,2,7]
[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]
[3,2,7,5,4,8,1,6]=>[6,1,8,4,5,7,2,3]
[2,5,8,4,7,3,1,6]=>[6,1,3,7,4,8,5,2]
[2,3,7,5,4,8,1,6]=>[6,1,8,4,5,7,3,2]
[6,8,3,2,4,7,1,5]=>[5,1,7,4,2,3,8,6]
[3,7,2,5,4,8,1,6]=>[6,1,8,4,5,2,7,3]
[3,1,7,5,4,8,2,6]=>[6,2,8,4,5,7,1,3]
[1,3,7,5,4,8,2,6]=>[6,2,8,4,5,7,3,1]
[1,5,8,4,7,3,2,6]=>[6,2,3,7,4,8,5,1]
[5,1,8,4,7,3,2,6]=>[6,2,3,7,4,8,1,5]
[5,8,2,4,7,3,1,6]=>[6,1,3,7,4,2,8,5]
[6,8,4,3,7,5,1,2]=>[2,1,5,7,3,4,8,6]
[8,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,8]
[8,5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5,8]
[8,1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1,8]
[1,8,5,4,7,3,2,6]=>[6,2,3,7,4,5,8,1]
[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]
[8,6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6,8]
[8,6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6,8]
[8,6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6,8]
[5,3,7,4,6,8,2,1]=>[1,2,8,6,4,7,3,5]
[4,1,3,2,7,8,5,6]=>[6,5,8,7,2,3,1,4]
[1,4,3,2,7,8,5,6]=>[6,5,8,7,2,3,4,1]
[2,4,3,1,7,8,5,6]=>[6,5,8,7,1,3,4,2]
[2,7,3,5,4,8,1,6]=>[6,1,8,4,5,3,7,2]
[2,8,5,4,7,3,1,6]=>[6,1,3,7,4,5,8,2]
[5,7,3,4,6,8,2,1]=>[1,2,8,6,4,3,7,5]
[8,2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2,8]
[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]
[3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]
[8,1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1,8]
[8,6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6,8]
[7,1,8,6,4,3,5,2]=>[2,5,3,4,6,8,1,7]
[7,4,2,5,1,6,3,8]=>[8,3,6,1,5,2,4,7]
[7,3,6,5,2,1,4,8]=>[8,4,1,2,5,6,3,7]
[8,3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3,8]
[7,3,6,5,2,1,8,4]=>[4,8,1,2,5,6,3,7]
[7,5,8,6,4,2,1,3]=>[3,1,2,4,6,8,5,7]
[5,4,2,8,1,3,7,6]=>[6,7,3,1,8,2,4,5]
[5,8,2,6,4,1,3,7]=>[7,3,1,4,6,2,8,5]
[6,4,2,5,1,8,3,7]=>[7,3,8,1,5,2,4,6]
[6,3,5,2,1,4,7,8]=>[8,7,4,1,2,5,3,6]
[2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]
[2,3,5,8,1,4,7,6]=>[6,7,4,1,8,5,3,2]
[2,3,6,8,1,5,7,4]=>[4,7,5,1,8,6,3,2]
[6,3,8,5,2,7,1,4]=>[4,1,7,2,5,8,3,6]
[6,3,7,5,2,1,4,8]=>[8,4,1,2,5,7,3,6]
[2,5,7,6,3,1,4,8]=>[8,4,1,3,6,7,5,2]
[2,8,7,6,3,1,5,4]=>[4,5,1,3,6,7,8,2]
[2,5,8,7,6,3,1,4]=>[4,1,3,6,7,8,5,2]
[2,4,8,1,6,5,7,3]=>[3,7,5,6,1,8,4,2]
[2,8,7,3,6,1,4,5]=>[5,4,1,6,3,7,8,2]
[7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7]
[8,4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4,8]
[2,3,6,8,1,4,7,5]=>[5,7,4,1,8,6,3,2]
[2,7,8,6,3,1,4,5]=>[5,4,1,3,6,8,7,2]
[7,3,8,5,2,1,4,6]=>[6,4,1,2,5,8,3,7]
[2,3,6,1,8,4,7,5]=>[5,7,4,8,1,6,3,2]
[2,8,6,3,1,4,5,7]=>[7,5,4,1,3,6,8,2]
[8,3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3,8]
[2,4,8,1,3,7,5,6]=>[6,5,7,3,1,8,4,2]
[2,5,8,1,7,3,6,4]=>[4,6,3,7,1,8,5,2]
[2,8,1,5,7,3,6,4]=>[4,6,3,7,5,1,8,2]
[8,3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3,8]
[3,8,6,1,4,7,5,2]=>[2,5,7,4,1,6,8,3]
[2,6,8,1,5,7,3,4]=>[4,3,7,5,1,8,6,2]
[2,7,1,5,8,3,4,6]=>[6,4,3,8,5,1,7,2]
[2,7,1,6,3,8,4,5]=>[5,4,8,3,6,1,7,2]
[4,7,6,1,8,5,2,3]=>[3,2,5,8,1,6,7,4]
[3,7,5,8,1,2,6,4]=>[4,6,2,1,8,5,7,3]
[7,3,6,1,2,8,4,5]=>[5,4,8,2,1,6,3,7]
[7,4,8,1,6,5,2,3]=>[3,2,5,6,1,8,4,7]
[7,4,6,1,8,2,5,3]=>[3,5,2,8,1,6,4,7]
[7,4,5,8,6,1,2,3]=>[3,2,1,6,8,5,4,7]
[6,8,4,5,1,7,2,3]=>[3,2,7,1,5,4,8,6]
[4,6,8,5,1,7,2,3]=>[3,2,7,1,5,8,6,4]
[5,1,7,6,2,3,8,4]=>[4,8,3,2,6,7,1,5]
[5,1,7,6,2,8,3,4]=>[4,3,8,2,6,7,1,5]
[5,1,8,7,6,2,3,4]=>[4,3,2,6,7,8,1,5]
[8,5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5,8]
[8,5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5,8]
[3,6,1,8,4,7,5,2]=>[2,5,7,4,8,1,6,3]
[4,6,1,8,7,5,2,3]=>[3,2,5,7,8,1,6,4]
[8,4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4,8]
[4,8,5,1,7,2,3,6]=>[6,3,2,7,1,5,8,4]
[4,5,1,8,7,2,3,6]=>[6,3,2,7,8,1,5,4]
[3,4,8,7,1,2,5,6]=>[6,5,2,1,7,8,4,3]
[5,8,4,1,7,2,3,6]=>[6,3,2,7,1,4,8,5]
[8,6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6,8]
[6,4,8,7,1,2,5,3]=>[3,5,2,1,7,8,4,6]
[5,6,8,3,7,1,4,2]=>[2,4,1,7,3,8,6,5]
[6,4,7,1,2,8,5,3]=>[3,5,8,2,1,7,4,6]
[6,5,1,2,7,3,8,4]=>[4,8,3,7,2,1,5,6]
[6,5,1,8,2,7,3,4]=>[4,3,7,2,8,1,5,6]
[8,6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6,8]
[8,6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6,8]
[6,5,1,8,7,2,3,4]=>[4,3,2,7,8,1,5,6]
[6,5,1,7,2,8,3,4]=>[4,3,8,2,7,1,5,6]
[6,5,1,7,2,3,8,4]=>[4,8,3,2,7,1,5,6]
[5,7,4,1,8,2,3,6]=>[6,3,2,8,1,4,7,5]
[5,6,8,7,4,1,2,3]=>[3,2,1,4,7,8,6,5]
[6,8,5,7,4,1,2,3]=>[3,2,1,4,7,5,8,6]
[7,3,8,1,5,2,4,6]=>[6,4,2,5,1,8,3,7]
[4,1,7,5,3,6,2,8]=>[8,2,6,3,5,7,1,4]
[1,8,4,2,3,6,7,5]=>[5,7,6,3,2,4,8,1]
[2,5,8,3,4,6,7,1]=>[1,7,6,4,3,8,5,2]
[4,1,7,2,3,6,8,5]=>[5,8,6,3,2,7,1,4]
[4,6,2,1,5,7,8,3]=>[3,8,7,5,1,2,6,4]
[4,5,2,3,1,7,8,6]=>[6,8,7,1,3,2,5,4]
[3,2,6,7,4,1,8,5]=>[5,8,1,4,7,6,2,3]
[5,6,2,7,1,4,8,3]=>[3,8,4,1,7,2,6,5]
[6,2,3,8,1,7,4,5]=>[5,4,7,1,8,3,2,6]
[2,6,8,3,4,7,1,5]=>[5,1,7,4,3,8,6,2]
[4,6,2,7,5,1,3,8]=>[8,3,1,5,7,2,6,4]
[2,6,3,1,8,4,5,7]=>[7,5,4,8,1,3,6,2]
[2,4,3,7,8,1,5,6]=>[6,5,1,8,7,3,4,2]
[5,3,2,7,4,8,1,6]=>[6,1,8,4,7,2,3,5]
[5,1,2,7,6,8,4,3]=>[3,4,8,6,7,2,1,5]
[2,6,3,1,8,7,4,5]=>[5,4,7,8,1,3,6,2]
[3,5,6,4,7,8,1,2]=>[2,1,8,7,4,6,5,3]
[5,3,6,4,2,8,7,1]=>[1,7,8,2,4,6,3,5]
[5,4,2,3,7,8,6,1]=>[1,6,8,7,3,2,4,5]
[4,1,8,2,5,7,3,6]=>[6,3,7,5,2,8,1,4]
[3,1,8,4,7,2,5,6]=>[6,5,2,7,4,8,1,3]
[6,2,3,8,4,1,7,5]=>[5,7,1,4,8,3,2,6]
[2,6,4,1,5,3,8,7]=>[7,8,3,5,1,4,6,2]
[3,2,7,6,4,1,8,5]=>[5,8,1,4,6,7,2,3]
[2,5,4,1,7,6,8,3]=>[3,8,6,7,1,4,5,2]
[6,2,1,4,7,8,3,5]=>[5,3,8,7,4,1,2,6]
[2,6,5,1,7,8,3,4]=>[4,3,8,7,1,5,6,2]
[4,7,5,2,1,6,3,8]=>[8,3,6,1,2,5,7,4]
[4,2,3,7,8,1,6,5]=>[5,6,1,8,7,3,2,4]
[5,8,3,1,7,2,4,6]=>[6,4,2,7,1,3,8,5]
[6,8,3,1,5,2,4,7]=>[7,4,2,5,1,3,8,6]
[4,2,7,1,6,3,5,8]=>[8,5,3,6,1,7,2,4]
[5,1,7,4,2,6,3,8]=>[8,3,6,2,4,7,1,5]
[6,8,4,2,1,5,3,7]=>[7,3,5,1,2,4,8,6]
[6,8,5,2,1,7,3,4]=>[4,3,7,1,2,5,8,6]
[5,8,2,1,4,7,3,6]=>[6,3,7,4,1,2,8,5]
[6,8,3,2,5,1,7,4]=>[4,7,1,5,2,3,8,6]
[6,8,4,3,1,5,7,2]=>[2,7,5,1,3,4,8,6]
[6,8,4,2,1,5,7,3]=>[3,7,5,1,2,4,8,6]
[6,8,3,2,1,4,5,7]=>[7,5,4,1,2,3,8,6]
[5,1,7,3,2,4,6,8]=>[8,6,4,2,3,7,1,5]
[5,2,1,8,3,6,7,4]=>[4,7,6,3,8,1,2,5]
[4,3,8,1,6,2,7,5]=>[5,7,2,6,1,8,3,4]
[5,4,7,2,1,6,8,3]=>[3,8,6,1,2,7,4,5]
[5,2,1,7,3,4,8,6]=>[6,8,4,3,7,1,2,5]
[6,4,3,1,7,5,8,2]=>[2,8,5,7,1,3,4,6]
[5,3,1,7,2,6,8,4]=>[4,8,6,2,7,1,3,5]
[3,2,1,7,6,4,8,5]=>[5,8,4,6,7,1,2,3]
[4,2,1,6,5,8,3,7]=>[7,3,8,5,6,1,2,4]
[4,2,1,8,5,7,3,6]=>[6,3,7,5,8,1,2,4]
[7,4,3,1,8,5,6,2]=>[2,6,5,8,1,3,4,7]
[7,4,2,1,8,5,6,3]=>[3,6,5,8,1,2,4,7]
[6,3,2,1,7,4,5,8]=>[8,5,4,7,1,2,3,6]
[6,4,2,1,7,5,3,8]=>[8,3,5,7,1,2,4,6]
[7,5,2,1,8,6,3,4]=>[4,3,6,8,1,2,5,7]
[6,1,8,4,2,7,3,5]=>[5,3,7,2,4,8,1,6]
[6,2,1,8,3,7,4,5]=>[5,4,7,3,8,1,2,6]
[5,2,1,7,3,6,4,8]=>[8,4,6,3,7,1,2,5]
[5,3,2,7,6,1,4,8]=>[8,4,1,6,7,2,3,5]
[5,3,2,8,6,1,4,7]=>[7,4,1,6,8,2,3,5]
[6,3,2,8,7,1,4,5]=>[5,4,1,7,8,2,3,6]
[4,2,8,1,7,3,5,6]=>[6,5,3,7,1,8,2,4]
[4,3,8,7,2,1,5,6]=>[6,5,1,2,7,8,3,4]
[2,1,5,8,4,7,3,6]=>[6,3,7,4,8,5,1,2]
[4,3,2,5,8,1,6,7]=>[7,6,1,8,5,2,3,4]
[4,3,2,5,7,1,6,8]=>[8,6,1,7,5,2,3,4]
[4,3,1,6,2,7,5,8]=>[8,5,7,2,6,1,3,4]
[4,3,1,7,2,8,5,6]=>[6,5,8,2,7,1,3,4]
[5,4,1,7,2,8,6,3]=>[3,6,8,2,7,1,4,5]
[6,5,3,1,7,8,4,2]=>[2,4,8,7,1,3,5,6]
[6,4,2,1,7,8,3,5]=>[5,3,8,7,1,2,4,6]
[5,4,2,1,6,7,3,8]=>[8,3,7,6,1,2,4,5]
[5,3,2,1,6,7,4,8]=>[8,4,7,6,1,2,3,5]
[6,4,2,1,7,8,5,3]=>[3,5,8,7,1,2,4,6]
[5,3,2,6,8,1,7,4]=>[4,7,1,8,6,2,3,5]
[3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]
[3,2,1,4,6,8,5,7]=>[7,5,8,6,4,1,2,3]
[4,3,2,6,1,7,8,5]=>[5,8,7,1,6,2,3,4]
[5,3,2,1,6,7,8,4]=>[4,8,7,6,1,2,3,5]
[8,6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6,8]
[3,8,6,4,5,7,1,2]=>[2,1,7,5,4,6,8,3]
[5,2,8,3,7,4,6,1]=>[1,6,4,7,3,8,2,5]
[6,2,8,5,4,7,3,1]=>[1,3,7,4,5,8,2,6]
[1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]
[1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]
[5,2,8,4,3,6,7,1]=>[1,7,6,3,4,8,2,5]
[5,4,2,7,3,6,1,8]=>[8,1,6,3,7,2,4,5]
[5,4,2,8,3,6,1,7]=>[7,1,6,3,8,2,4,5]
[6,5,3,8,4,7,2,1]=>[1,2,7,4,8,3,5,6]
[5,2,8,4,3,7,1,6]=>[6,1,7,3,4,8,2,5]
[6,2,8,3,7,4,1,5]=>[5,1,4,7,3,8,2,6]
[5,4,2,7,3,1,8,6]=>[6,8,1,3,7,2,4,5]
[6,4,3,7,1,2,8,5]=>[5,8,2,1,7,3,4,6]
[6,4,3,8,1,2,7,5]=>[5,7,2,1,8,3,4,6]
[7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]
[7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]
[7,2,8,4,3,1,5,6]=>[6,5,1,3,4,8,2,7]
[7,5,3,8,4,2,6,1]=>[1,6,2,4,8,3,5,7]
[6,4,2,7,3,1,5,8]=>[8,5,1,3,7,2,4,6]
[7,6,4,8,2,3,5,1]=>[1,5,3,2,8,4,6,7]
[7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]
[5,3,1,7,8,4,6,2]=>[2,6,4,8,7,1,3,5]
[5,3,2,7,8,4,6,1]=>[1,6,4,8,7,2,3,5]
[5,4,1,6,3,8,7,2]=>[2,7,8,3,6,1,4,5]
[6,5,1,7,8,2,3,4]=>[4,3,2,8,7,1,5,6]
[6,3,1,7,8,4,2,5]=>[5,2,4,8,7,1,3,6]
[6,3,2,7,8,4,1,5]=>[5,1,4,8,7,2,3,6]
[6,1,5,4,3,2,8,7]=>[7,8,2,3,4,5,1,6]
[8,7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7,8]
[8,1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1,8]
[8,4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4,8]
[7,8,6,2,5,3,1,4]=>[4,1,3,5,2,6,8,7]
[6,1,3,5,2,8,4,7]=>[7,4,8,2,5,3,1,6]
[8,1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1,8]
[4,3,8,7,5,2,1,6]=>[6,1,2,5,7,8,3,4]
[6,7,1,8,5,3,4,2]=>[2,4,3,5,8,1,7,6]
[2,7,6,4,8,3,5,1]=>[1,5,3,8,4,6,7,2]
[6,5,2,7,1,4,8,3]=>[3,8,4,1,7,2,5,6]
[7,4,6,1,3,2,8,5]=>[5,8,2,3,1,6,4,7]
[7,5,2,1,3,8,4,6]=>[6,4,8,3,1,2,5,7]
[8,4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4,8]
[7,4,1,5,6,3,8,2]=>[2,8,3,6,5,1,4,7]
[3,4,7,5,6,1,8,2]=>[2,8,1,6,5,7,4,3]
[2,4,7,5,6,3,8,1]=>[1,8,3,6,5,7,4,2]
[5,4,1,7,6,2,8,3]=>[3,8,2,6,7,1,4,5]
[3,5,6,7,1,4,8,2]=>[2,8,4,1,7,6,5,3]
[2,7,6,1,3,4,8,5]=>[5,8,4,3,1,6,7,2]
[5,7,2,1,6,3,8,4]=>[4,8,3,6,1,2,7,5]
[4,7,2,5,6,3,8,1]=>[1,8,3,6,5,2,7,4]
[8,6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6,8]
[2,7,4,5,3,8,1,6]=>[6,1,8,3,5,4,7,2]
[6,8,7,1,3,2,5,4]=>[4,5,2,3,1,7,8,6]
[2,8,6,5,7,1,4,3]=>[3,4,1,7,5,6,8,2]
[5,8,4,3,2,6,7,1]=>[1,7,6,2,3,4,8,5]
[1,8,5,6,2,4,7,3]=>[3,7,4,2,6,5,8,1]
[8,1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1,8]
[6,4,8,1,3,2,7,5]=>[5,7,2,3,1,8,4,6]
[1,4,5,2,8,6,7,3]=>[3,7,6,8,2,5,4,1]
[2,3,1,7,8,6,4,5]=>[5,4,6,8,7,1,3,2]
[3,5,7,6,2,8,1,4]=>[4,1,8,2,6,7,5,3]
[4,5,6,1,2,8,7,3]=>[3,7,8,2,1,6,5,4]
[5,4,1,2,8,6,7,3]=>[3,7,6,8,2,1,4,5]
[8,4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4,8]
[3,1,2,6,8,4,7,5]=>[5,7,4,8,6,2,1,3]
[5,1,3,2,7,8,4,6]=>[6,4,8,7,2,3,1,5]
[1,5,4,2,7,8,3,6]=>[6,3,8,7,2,4,5,1]
[4,6,7,8,3,1,5,2]=>[2,5,1,3,8,7,6,4]
[7,6,2,8,4,3,1,5]=>[5,1,3,4,8,2,6,7]
[5,2,8,6,3,4,7,1]=>[1,7,4,3,6,8,2,5]
[5,6,8,4,3,2,7,1]=>[1,7,2,3,4,8,6,5]
[5,3,8,1,7,2,4,6]=>[6,4,2,7,1,8,3,5]
[3,6,7,8,4,2,1,5]=>[5,1,2,4,8,7,6,3]
[6,5,1,8,4,3,7,2]=>[2,7,3,4,8,1,5,6]
[6,3,8,4,2,1,7,5]=>[5,7,1,2,4,8,3,6]
[2,5,8,3,1,6,7,4]=>[4,7,6,1,3,8,5,2]
[3,5,8,1,2,6,7,4]=>[4,7,6,2,1,8,5,3]
[3,2,8,1,5,6,7,4]=>[4,7,6,5,1,8,2,3]
[1,5,8,3,2,6,7,4]=>[4,7,6,2,3,8,5,1]
[1,3,8,6,2,4,7,5]=>[5,7,4,2,6,8,3,1]
[3,2,7,8,4,6,1,5]=>[5,1,6,4,8,7,2,3]
[5,1,8,3,4,6,7,2]=>[2,7,6,4,3,8,1,5]
[4,8,7,2,1,6,3,5]=>[5,3,6,1,2,7,8,4]
[2,8,1,6,3,4,7,5]=>[5,7,4,3,6,1,8,2]
[8,3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3,8]
[6,4,7,2,5,8,1,3]=>[3,1,8,5,2,7,4,6]
[8,4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4,8]
[2,4,5,8,3,6,1,7]=>[7,1,6,3,8,5,4,2]
[3,5,8,1,2,6,4,7]=>[7,4,6,2,1,8,5,3]
[8,6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6,8]
[8,5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5,8]
[5,8,6,1,3,4,2,7]=>[7,2,4,3,1,6,8,5]
[5,8,4,6,1,3,2,7]=>[7,2,3,1,6,4,8,5]
[7,3,4,5,2,8,1,6]=>[6,1,8,2,5,4,3,7]
[5,7,4,3,6,1,8,2]=>[2,8,1,6,3,4,7,5]
[2,6,4,3,7,8,5,1]=>[1,5,8,7,3,4,6,2]
[7,4,1,8,3,2,5,6]=>[6,5,2,3,8,1,4,7]
[6,2,1,7,8,4,5,3]=>[3,5,4,8,7,1,2,6]
[7,6,3,1,5,4,8,2]=>[2,8,4,5,1,3,6,7]
[2,4,6,5,1,7,8,3]=>[3,8,7,1,5,6,4,2]
[1,4,7,5,6,8,2,3]=>[3,2,8,6,5,7,4,1]
[1,4,7,6,5,8,2,3]=>[3,2,8,5,6,7,4,1]
[3,7,5,2,4,6,8,1]=>[1,8,6,4,2,5,7,3]
[5,6,1,7,4,2,8,3]=>[3,8,2,4,7,1,6,5]
[3,7,4,8,1,2,6,5]=>[5,6,2,1,8,4,7,3]
[6,3,5,7,8,1,4,2]=>[2,4,1,8,7,5,3,6]
[3,6,5,7,1,8,4,2]=>[2,4,8,1,7,5,6,3]
[6,4,7,8,2,1,3,5]=>[5,3,1,2,8,7,4,6]
[6,7,3,8,4,1,2,5]=>[5,2,1,4,8,3,7,6]
[2,7,8,3,4,6,1,5]=>[5,1,6,4,3,8,7,2]
[7,5,8,4,1,3,2,6]=>[6,2,3,1,4,8,5,7]
[4,7,5,8,3,1,2,6]=>[6,2,1,3,8,5,7,4]
[3,6,7,4,8,1,2,5]=>[5,2,1,8,4,7,6,3]
[5,7,3,1,6,8,4,2]=>[2,4,8,6,1,3,7,5]
[2,7,3,1,8,6,4,5]=>[5,4,6,8,1,3,7,2]
[2,8,4,3,1,5,7,6]=>[6,7,5,1,3,4,8,2]
[4,8,1,2,3,5,7,6]=>[6,7,5,3,2,1,8,4]
[7,6,8,1,2,4,3,5]=>[5,3,4,2,1,8,6,7]
[7,6,8,5,1,3,2,4]=>[4,2,3,1,5,8,6,7]
[2,8,5,4,6,1,7,3]=>[3,7,1,6,4,5,8,2]
[8,4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4,8]
[8,7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7,8]
[6,7,1,3,5,2,8,4]=>[4,8,2,5,3,1,7,6]
[5,7,2,3,6,8,1,4]=>[4,1,8,6,3,2,7,5]
[8,5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5,8]
[3,4,6,7,5,8,1,2]=>[2,1,8,5,7,6,4,3]
[3,4,5,7,6,1,8,2]=>[2,8,1,6,7,5,4,3]
[2,6,4,5,7,8,3,1]=>[1,3,8,7,5,4,6,2]
[3,8,5,1,6,2,7,4]=>[4,7,2,6,1,5,8,3]
[2,5,1,3,6,8,7,4]=>[4,7,8,6,3,1,5,2]
[5,4,6,1,3,7,8,2]=>[2,8,7,3,1,6,4,5]
[6,3,5,7,1,4,8,2]=>[2,8,4,1,7,5,3,6]
[7,3,4,6,8,1,5,2]=>[2,5,1,8,6,4,3,7]
[7,5,2,8,4,1,3,6]=>[6,3,1,4,8,2,5,7]
[3,7,6,4,1,8,2,5]=>[5,2,8,1,4,6,7,3]
[3,7,8,4,1,5,6,2]=>[2,6,5,1,4,8,7,3]
[8,7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7,8]
[3,5,8,6,7,4,2,1]=>[1,2,4,7,6,8,5,3]
[5,8,1,6,7,3,4,2]=>[2,4,3,7,6,1,8,5]
[6,7,2,5,1,8,4,3]=>[3,4,8,1,5,2,7,6]
[5,8,2,1,6,7,4,3]=>[3,4,7,6,1,2,8,5]
[4,5,2,8,6,3,7,1]=>[1,7,3,6,8,2,5,4]
[3,6,1,2,5,8,4,7]=>[7,4,8,5,2,1,6,3]
[1,4,5,8,2,3,7,6]=>[6,7,3,2,8,5,4,1]
[1,2,6,4,5,8,3,7]=>[7,3,8,5,4,6,2,1]
[1,5,2,4,6,8,3,7]=>[7,3,8,6,4,2,5,1]
[3,6,1,5,8,2,4,7]=>[7,4,2,8,5,1,6,3]
[2,6,5,1,4,8,3,7]=>[7,3,8,4,1,5,6,2]
[5,2,6,1,4,8,3,7]=>[7,3,8,4,1,6,2,5]
[2,5,1,8,4,7,3,6]=>[6,3,7,4,8,1,5,2]
[2,7,1,4,3,6,8,5]=>[5,8,6,3,4,1,7,2]
[1,3,7,5,8,2,4,6]=>[6,4,2,8,5,7,3,1]
[8,2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2,8]
[2,5,4,8,1,3,7,6]=>[6,7,3,1,8,4,5,2]
[2,4,1,3,8,6,7,5]=>[5,7,6,8,3,1,4,2]
[8,4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4,8]
[1,7,3,5,8,2,6,4]=>[4,6,2,8,5,3,7,1]
[1,8,4,2,6,7,3,5]=>[5,3,7,6,2,4,8,1]
[3,1,6,8,7,2,4,5]=>[5,4,2,7,8,6,1,3]
[7,2,1,6,8,3,4,5]=>[5,4,3,8,6,1,2,7]
[3,1,7,6,8,2,4,5]=>[5,4,2,8,6,7,1,3]
[4,1,7,2,6,8,3,5]=>[5,3,8,6,2,7,1,4]
[5,1,7,2,3,6,8,4]=>[4,8,6,3,2,7,1,5]
[7,2,1,6,3,5,8,4]=>[4,8,5,3,6,1,2,7]
[2,6,1,7,3,5,8,4]=>[4,8,5,3,7,1,6,2]
[7,1,2,5,3,6,8,4]=>[4,8,6,3,5,2,1,7]
[5,4,1,2,7,8,3,6]=>[6,3,8,7,2,1,4,5]
[8,1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1,8]
[7,3,1,2,4,6,8,5]=>[5,8,6,4,2,1,3,7]
[1,8,3,4,7,2,5,6]=>[6,5,2,7,4,3,8,1]
[3,5,8,1,2,7,4,6]=>[6,4,7,2,1,8,5,3]
[3,6,8,1,2,4,7,5]=>[5,7,4,2,1,8,6,3]
[4,1,3,8,7,2,6,5]=>[5,6,2,7,8,3,1,4]
[1,3,7,4,8,2,6,5]=>[5,6,2,8,4,7,3,1]
[1,4,6,8,2,3,7,5]=>[5,7,3,2,8,6,4,1]
[3,5,8,1,7,2,4,6]=>[6,4,2,7,1,8,5,3]
[2,6,8,1,7,3,4,5]=>[5,4,3,7,1,8,6,2]
[6,1,5,8,2,3,7,4]=>[4,7,3,2,8,5,1,6]
[1,8,3,2,7,5,6,4]=>[4,6,5,7,2,3,8,1]
[3,1,7,2,8,5,6,4]=>[4,6,5,8,2,7,1,3]
[2,6,7,3,8,1,5,4]=>[4,5,1,8,3,7,6,2]
[8,4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4,8]
[3,7,2,8,6,1,5,4]=>[4,5,1,6,8,2,7,3]
[6,2,3,8,7,1,5,4]=>[4,5,1,7,8,3,2,6]
[5,1,7,8,4,2,6,3]=>[3,6,2,4,8,7,1,5]
[5,1,8,7,4,2,6,3]=>[3,6,2,4,7,8,1,5]
[4,7,2,8,3,6,5,1]=>[1,5,6,3,8,2,7,4]
[4,1,7,8,5,3,6,2]=>[2,6,3,5,8,7,1,4]
[5,1,7,4,8,3,6,2]=>[2,6,3,8,4,7,1,5]
[4,1,8,7,5,3,6,2]=>[2,6,3,5,7,8,1,4]
[4,8,2,7,3,6,5,1]=>[1,5,6,3,7,2,8,4]
[4,7,2,6,3,5,8,1]=>[1,8,5,3,6,2,7,4]
[6,8,2,4,3,7,5,1]=>[1,5,7,3,4,2,8,6]
[6,7,2,4,3,8,5,1]=>[1,5,8,3,4,2,7,6]
[6,8,2,7,3,5,4,1]=>[1,4,5,3,7,2,8,6]
[3,8,7,2,4,1,5,6]=>[6,5,1,4,2,7,8,3]
[3,7,8,2,4,1,5,6]=>[6,5,1,4,2,8,7,3]
[3,6,8,2,4,5,7,1]=>[1,7,5,4,2,8,6,3]
[3,6,7,2,4,5,8,1]=>[1,8,5,4,2,7,6,3]
[6,5,1,4,2,3,8,7]=>[7,8,3,2,4,1,5,6]
[8,6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6,8]
[8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8]
[5,4,3,1,6,2,8,7]=>[7,8,2,6,1,3,4,5]
[8,3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3,8]
[6,3,4,1,8,5,2,7]=>[7,2,5,8,1,4,3,6]
[3,8,5,2,7,1,6,4]=>[4,6,1,7,2,5,8,3]
[2,8,6,7,5,3,4,1]=>[1,4,3,5,7,6,8,2]
[2,1,8,7,3,6,4,5]=>[5,4,6,3,7,8,1,2]
[3,6,5,8,2,4,7,1]=>[1,7,4,2,8,5,6,3]
[5,2,1,8,7,3,4,6]=>[6,4,3,7,8,1,2,5]
[6,5,2,7,4,3,8,1]=>[1,8,3,4,7,2,5,6]
[4,6,5,2,7,3,8,1]=>[1,8,3,7,2,5,6,4]
[6,2,7,1,8,3,5,4]=>[4,5,3,8,1,7,2,6]
[2,7,5,4,8,3,6,1]=>[1,6,3,8,4,5,7,2]
[8,7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7,8]
[8,4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4,8]
[7,1,6,2,3,8,5,4]=>[4,5,8,3,2,6,1,7]
[4,8,1,3,2,7,5,6]=>[6,5,7,2,3,1,8,4]
[3,8,1,4,7,5,2,6]=>[6,2,5,7,4,1,8,3]
[6,3,8,7,4,5,1,2]=>[2,1,5,4,7,8,3,6]
[6,1,4,8,5,2,3,7]=>[7,3,2,5,8,4,1,6]
[8,5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5,8]
[4,6,7,8,2,3,5,1]=>[1,5,3,2,8,7,6,4]
[8,7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7,8]
[7,6,1,3,5,2,8,4]=>[4,8,2,5,3,1,6,7]
[5,8,3,2,4,6,1,7]=>[7,1,6,4,2,3,8,5]
[8,2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2,8]
[4,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,4]
[2,1,8,6,4,3,7,5]=>[5,7,3,4,6,8,1,2]
[2,1,7,6,5,3,8,4]=>[4,8,3,5,6,7,1,2]
[2,7,6,1,3,5,8,4]=>[4,8,5,3,1,6,7,2]
[7,2,5,4,6,1,8,3]=>[3,8,1,6,4,5,2,7]
[4,7,6,1,2,5,8,3]=>[3,8,5,2,1,6,7,4]
[2,4,1,7,6,8,5,3]=>[3,5,8,6,7,1,4,2]
[3,4,1,7,8,5,6,2]=>[2,6,5,8,7,1,4,3]
[7,5,4,3,1,8,6,2]=>[2,6,8,1,3,4,5,7]
[8,5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5,8]
[8,4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4,8]
[6,3,5,4,1,7,8,2]=>[2,8,7,1,4,5,3,6]
[4,1,3,6,7,5,8,2]=>[2,8,5,7,6,3,1,4]
[1,7,5,3,8,2,4,6]=>[6,4,2,8,3,5,7,1]
[1,7,2,4,5,8,3,6]=>[6,3,8,5,4,2,7,1]
[8,2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2,8]
[1,7,4,5,8,3,2,6]=>[6,2,3,8,5,4,7,1]
[2,6,4,7,8,3,5,1]=>[1,5,3,8,7,4,6,2]
[2,6,4,7,8,3,1,5]=>[5,1,3,8,7,4,6,2]
[1,2,6,4,7,8,3,5]=>[5,3,8,7,4,6,2,1]
[2,7,4,5,8,1,3,6]=>[6,3,1,8,5,4,7,2]
[2,7,5,3,1,8,4,6]=>[6,4,8,1,3,5,7,2]
[6,1,4,7,8,3,5,2]=>[2,5,3,8,7,4,1,6]
[3,6,4,7,8,1,5,2]=>[2,5,1,8,7,4,6,3]
[4,3,6,7,1,8,5,2]=>[2,5,8,1,7,6,3,4]
[4,3,6,7,1,8,2,5]=>[5,2,8,1,7,6,3,4]
[3,6,4,7,8,1,2,5]=>[5,2,1,8,7,4,6,3]
[2,3,6,4,1,7,8,5]=>[5,8,7,1,4,6,3,2]
[4,7,2,1,5,3,8,6]=>[6,8,3,5,1,2,7,4]
[3,7,4,5,2,1,8,6]=>[6,8,1,2,5,4,7,3]
[1,3,6,4,7,2,8,5]=>[5,8,2,7,4,6,3,1]
[3,6,4,7,2,8,5,1]=>[1,5,8,2,7,4,6,3]
[5,1,3,4,2,7,8,6]=>[6,8,7,2,4,3,1,5]
[5,4,2,1,3,7,8,6]=>[6,8,7,3,1,2,4,5]
[6,1,7,3,8,2,5,4]=>[4,5,2,8,3,7,1,6]
[1,6,7,3,8,2,5,4]=>[4,5,2,8,3,7,6,1]
[6,1,4,7,8,5,2,3]=>[3,2,5,8,7,4,1,6]
[6,3,2,1,7,8,5,4]=>[4,5,8,7,1,2,3,6]
[6,2,7,3,1,8,5,4]=>[4,5,8,1,3,7,2,6]
[6,2,4,7,8,1,5,3]=>[3,5,1,8,7,4,2,6]
[2,6,7,3,1,8,5,4]=>[4,5,8,1,3,7,6,2]
[8,6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6,8]
[6,4,7,8,3,2,5,1]=>[1,5,2,3,8,7,4,6]
[3,8,4,7,1,2,5,6]=>[6,5,2,1,7,4,8,3]
[8,6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6,8]
[4,8,6,1,5,3,2,7]=>[7,2,3,5,1,6,8,4]
[5,8,6,4,1,3,2,7]=>[7,2,3,1,4,6,8,5]
[8,3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3,8]
[6,8,5,7,4,2,3,1]=>[1,3,2,4,7,5,8,6]
[2,3,8,7,1,6,4,5]=>[5,4,6,1,7,8,3,2]
[4,3,7,8,1,6,2,5]=>[5,2,6,1,8,7,3,4]
[3,5,8,7,4,1,2,6]=>[6,2,1,4,7,8,5,3]
[7,3,8,4,1,2,5,6]=>[6,5,2,1,4,8,3,7]
[4,8,1,2,7,3,5,6]=>[6,5,3,7,2,1,8,4]
[6,8,1,2,7,4,5,3]=>[3,5,4,7,2,1,8,6]
[5,6,8,4,1,3,7,2]=>[2,7,3,1,4,8,6,5]
[8,5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5,8]
[2,5,8,7,3,6,4,1]=>[1,4,6,3,7,8,5,2]
[2,4,8,7,5,6,1,3]=>[3,1,6,5,7,8,4,2]
[3,7,4,8,5,6,2,1]=>[1,2,6,5,8,4,7,3]
[6,4,8,7,5,1,2,3]=>[3,2,1,5,7,8,4,6]
[3,8,5,2,4,6,7,1]=>[1,7,6,4,2,5,8,3]
[5,7,1,8,4,6,2,3]=>[3,2,6,4,8,1,7,5]
[6,3,8,7,2,1,4,5]=>[5,4,1,2,7,8,3,6]
[2,3,7,8,5,6,1,4]=>[4,1,6,5,8,7,3,2]
[3,7,6,8,5,1,2,4]=>[4,2,1,5,8,6,7,3]
[2,6,7,8,5,1,3,4]=>[4,3,1,5,8,7,6,2]
[2,4,7,8,1,6,3,5]=>[5,3,6,1,8,7,4,2]
[5,4,7,8,2,6,3,1]=>[1,3,6,2,8,7,4,5]
[2,8,3,4,1,5,7,6]=>[6,7,5,1,4,3,8,2]
[6,8,3,4,1,2,7,5]=>[5,7,2,1,4,3,8,6]
[6,8,7,1,5,2,3,4]=>[4,3,2,5,1,7,8,6]
[5,8,3,2,7,6,1,4]=>[4,1,6,7,2,3,8,5]
[2,5,3,1,8,6,7,4]=>[4,7,6,8,1,3,5,2]
[4,5,3,2,8,6,7,1]=>[1,7,6,8,2,3,5,4]
[3,5,8,6,1,4,7,2]=>[2,7,4,1,6,8,5,3]
[2,8,5,6,1,4,7,3]=>[3,7,4,1,6,5,8,2]
[4,8,6,1,5,2,7,3]=>[3,7,2,5,1,6,8,4]
[5,8,2,3,7,6,1,4]=>[4,1,6,7,3,2,8,5]
[4,6,8,5,3,2,7,1]=>[1,7,2,3,5,8,6,4]
[2,6,4,8,5,1,7,3]=>[3,7,1,5,8,4,6,2]
[7,6,4,8,5,2,1,3]=>[3,1,2,5,8,4,6,7]
[3,4,8,6,5,2,7,1]=>[1,7,2,5,6,8,4,3]
[3,4,8,7,5,6,2,1]=>[1,2,6,5,7,8,4,3]
[7,5,3,2,8,6,1,4]=>[4,1,6,8,2,3,5,7]
[2,5,1,3,8,6,7,4]=>[4,7,6,8,3,1,5,2]
[4,5,1,2,8,6,7,3]=>[3,7,6,8,2,1,5,4]
[5,4,8,1,3,6,7,2]=>[2,7,6,3,1,8,4,5]
[8,3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3,8]
[7,3,4,8,5,6,1,2]=>[2,1,6,5,8,4,3,7]
[6,1,5,7,2,4,8,3]=>[3,8,4,2,7,5,1,6]
[7,4,5,1,2,3,8,6]=>[6,8,3,2,1,5,4,7]
[7,4,3,1,2,8,5,6]=>[6,5,8,2,1,3,4,7]
[8,4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4,8]
[8,4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4,8]
[7,2,1,4,5,8,3,6]=>[6,3,8,5,4,1,2,7]
[7,4,1,6,3,5,8,2]=>[2,8,5,3,6,1,4,7]
[3,5,7,6,4,1,8,2]=>[2,8,1,4,6,7,5,3]
[4,7,5,2,1,3,8,6]=>[6,8,3,1,2,5,7,4]
[5,7,2,3,6,4,8,1]=>[1,8,4,6,3,2,7,5]
[8,6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6,8]
[5,7,2,4,8,3,6,1]=>[1,6,3,8,4,2,7,5]
[1,7,2,4,8,6,3,5]=>[5,3,6,8,4,2,7,1]
[7,6,1,5,4,8,3,2]=>[2,3,8,4,5,1,6,7]
[4,7,3,2,1,8,5,6]=>[6,5,8,1,2,3,7,4]
[3,1,7,2,5,8,4,6]=>[6,4,8,5,2,7,1,3]
[4,8,7,6,1,2,5,3]=>[3,5,2,1,6,7,8,4]
[7,8,6,1,3,2,5,4]=>[4,5,2,3,1,6,8,7]
[2,8,6,7,4,1,3,5]=>[5,3,1,4,7,6,8,2]
[5,8,6,4,2,3,1,7]=>[7,1,3,2,4,6,8,5]
[2,8,3,1,6,5,4,7]=>[7,4,5,6,1,3,8,2]
[3,8,1,2,5,7,4,6]=>[6,4,7,5,2,1,8,3]
[6,8,5,4,2,7,3,1]=>[1,3,7,2,4,5,8,6]
[6,8,3,1,2,4,5,7]=>[7,5,4,2,1,3,8,6]
[4,6,8,7,3,1,5,2]=>[2,5,1,3,7,8,6,4]
[6,5,3,7,8,4,1,2]=>[2,1,4,8,7,3,5,6]
[4,1,3,8,7,5,6,2]=>[2,6,5,7,8,3,1,4]
[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]
[8,4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4,8]
[4,3,2,6,8,1,7,5]=>[5,7,1,8,6,2,3,4]
[7,1,5,6,3,8,2,4]=>[4,2,8,3,6,5,1,7]
[5,1,2,4,7,8,3,6]=>[6,3,8,7,4,2,1,5]
[3,5,4,2,8,1,6,7]=>[7,6,1,8,2,4,5,3]
[5,1,3,8,4,2,7,6]=>[6,7,2,4,8,3,1,5]
[6,2,8,7,3,5,4,1]=>[1,4,5,3,7,8,2,6]
[7,1,8,4,3,6,5,2]=>[2,5,6,3,4,8,1,7]
[3,6,8,7,4,1,2,5]=>[5,2,1,4,7,8,6,3]
[5,6,8,1,7,3,2,4]=>[4,2,3,7,1,8,6,5]
[3,1,6,8,7,4,2,5]=>[5,2,4,7,8,6,1,3]
[7,4,6,8,2,1,5,3]=>[3,5,1,2,8,6,4,7]
[6,5,8,4,3,1,2,7]=>[7,2,1,3,4,8,5,6]
[2,5,8,3,6,7,4,1]=>[1,4,7,6,3,8,5,2]
[8,5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5,8]
[1,5,8,3,7,4,2,6]=>[6,2,4,7,3,8,5,1]
[3,8,2,7,1,5,6,4]=>[4,6,5,1,7,2,8,3]
[5,8,2,3,6,4,1,7]=>[7,1,4,6,3,2,8,5]
[6,8,2,3,4,7,5,1]=>[1,5,7,4,3,2,8,6]
[3,5,8,7,4,2,6,1]=>[1,6,2,4,7,8,5,3]
[7,5,1,8,4,2,6,3]=>[3,6,2,4,8,1,5,7]
[3,6,8,5,2,7,4,1]=>[1,4,7,2,5,8,6,3]
[2,1,6,5,4,8,3,7]=>[7,3,8,4,5,6,1,2]
[2,1,7,8,4,6,5,3]=>[3,5,6,4,8,7,1,2]
[2,1,7,4,3,5,8,6]=>[6,8,5,3,4,7,1,2]
[3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]
[7,5,2,8,4,6,3,1]=>[1,3,6,4,8,2,5,7]
[8,6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6,8]
[7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]
[7,6,3,8,1,5,4,2]=>[2,4,5,1,8,3,6,7]
[6,2,7,1,3,5,8,4]=>[4,8,5,3,1,7,2,6]
[6,1,8,2,3,5,4,7]=>[7,4,5,3,2,8,1,6]
[7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]
[8,4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4,8]
[7,3,1,4,6,8,5,2]=>[2,5,8,6,4,1,3,7]
[7,3,8,5,2,6,4,1]=>[1,4,6,2,5,8,3,7]
[4,3,8,7,1,6,5,2]=>[2,5,6,1,7,8,3,4]
[4,7,1,8,5,2,6,3]=>[3,6,2,5,8,1,7,4]
[5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]
[5,3,4,2,8,7,1,6]=>[6,1,7,8,2,4,3,5]
[5,2,4,3,6,8,1,7]=>[7,1,8,6,3,4,2,5]
[3,8,6,5,4,1,2,7]=>[7,2,1,4,5,6,8,3]
[4,7,5,6,3,8,2,1]=>[1,2,8,3,6,5,7,4]
[4,8,5,7,2,3,1,6]=>[6,1,3,2,7,5,8,4]
[4,2,7,5,8,3,6,1]=>[1,6,3,8,5,7,2,4]
[3,8,5,7,1,4,6,2]=>[2,6,4,1,7,5,8,3]
[5,8,2,7,3,4,6,1]=>[1,6,4,3,7,2,8,5]
[6,8,2,5,4,3,1,7]=>[7,1,3,4,5,2,8,6]
[6,7,2,4,5,3,8,1]=>[1,8,3,5,4,2,7,6]
[5,7,2,8,3,6,1,4]=>[4,1,6,3,8,2,7,5]
[5,1,3,6,4,2,8,7]=>[7,8,2,4,6,3,1,5]
[5,1,8,7,4,6,2,3]=>[3,2,6,4,7,8,1,5]
[6,8,3,7,5,4,2,1]=>[1,2,4,5,7,3,8,6]
[6,1,3,4,7,5,8,2]=>[2,8,5,7,4,3,1,6]
[6,3,2,1,4,8,5,7]=>[7,5,8,4,1,2,3,6]
[6,2,3,1,4,7,8,5]=>[5,8,7,4,1,3,2,6]
[6,2,1,4,8,7,5,3]=>[3,5,7,8,4,1,2,6]
[6,2,8,3,5,7,4,1]=>[1,4,7,5,3,8,2,6]
[5,2,1,3,6,4,8,7]=>[7,8,4,6,3,1,2,5]
[7,1,8,3,5,4,6,2]=>[2,6,4,5,3,8,1,7]
[7,1,2,4,8,5,6,3]=>[3,6,5,8,4,2,1,7]
[7,1,3,2,4,8,6,5]=>[5,6,8,4,2,3,1,7]
[7,2,1,3,4,5,8,6]=>[6,8,5,4,3,1,2,7]
[8,7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7,8]
[8,4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4,8]
[5,1,6,4,3,2,8,7]=>[7,8,2,3,4,6,1,5]
[8,3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3,8]
[2,8,3,6,4,7,5,1]=>[1,5,7,4,6,3,8,2]
[6,2,1,7,5,8,3,4]=>[4,3,8,5,7,1,2,6]
[6,3,8,7,5,2,1,4]=>[4,1,2,5,7,8,3,6]
[6,7,2,1,5,8,4,3]=>[3,4,8,5,1,2,7,6]
[7,6,8,1,5,4,3,2]=>[2,3,4,5,1,8,6,7]
[5,4,8,7,6,1,3,2]=>[2,3,1,6,7,8,4,5]
[7,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,7]
[6,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,6]
[6,5,8,7,4,1,3,2]=>[2,3,1,4,7,8,5,6]
[1,6,4,8,3,2,5,7]=>[7,5,2,3,8,4,6,1]
[1,8,3,5,6,2,4,7]=>[7,4,2,6,5,3,8,1]
[1,4,8,5,6,2,3,7]=>[7,3,2,6,5,8,4,1]
[1,2,8,5,3,7,4,6]=>[6,4,7,3,5,8,2,1]
[6,1,4,8,2,3,5,7]=>[7,5,3,2,8,4,1,6]
[8,7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7,8]
[1,8,2,5,4,7,3,6]=>[6,3,7,4,5,2,8,1]
[5,7,4,1,2,3,8,6]=>[6,8,3,2,1,4,7,5]
[1,7,4,2,5,3,8,6]=>[6,8,3,5,2,4,7,1]
[6,7,4,2,1,3,8,5]=>[5,8,3,1,2,4,7,6]
[6,4,3,8,5,7,1,2]=>[2,1,7,5,8,3,4,6]
[7,4,3,6,2,1,5,8]=>[8,5,1,2,6,3,4,7]
[7,2,5,3,4,1,6,8]=>[8,6,1,4,3,5,2,7]
[8,3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3,8]
[2,7,4,3,1,5,6,8]=>[8,6,5,1,3,4,7,2]
[6,8,4,2,3,1,5,7]=>[7,5,1,3,2,4,8,6]
[3,7,5,2,4,1,6,8]=>[8,6,1,4,2,5,7,3]
[7,1,3,2,8,4,5,6]=>[6,5,4,8,2,3,1,7]
[2,1,7,4,8,3,5,6]=>[6,5,3,8,4,7,1,2]
[5,2,8,6,1,3,4,7]=>[7,4,3,1,6,8,2,5]
[2,8,3,1,4,5,6,7]=>[7,6,5,4,1,3,8,2]
[7,4,8,2,3,1,5,6]=>[6,5,1,3,2,8,4,7]
[4,2,7,3,1,5,6,8]=>[8,6,5,1,3,7,2,4]
[6,5,2,4,7,1,3,8]=>[8,3,1,7,4,2,5,6]
[6,5,7,4,1,8,2,3]=>[3,2,8,1,4,7,5,6]
[7,6,4,5,1,8,2,3]=>[3,2,8,1,5,4,6,7]
[8,6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6,8]
[6,4,3,1,8,2,5,7]=>[7,5,2,8,1,3,4,6]
[7,4,1,2,8,3,5,6]=>[6,5,3,8,2,1,4,7]
[4,8,1,3,5,7,2,6]=>[6,2,7,5,3,1,8,4]
[7,8,4,1,3,6,2,5]=>[5,2,6,3,1,4,8,7]
[6,5,8,1,3,7,2,4]=>[4,2,7,3,1,8,5,6]
[5,3,6,1,8,2,4,7]=>[7,4,2,8,1,6,3,5]
[4,7,3,1,8,2,5,6]=>[6,5,2,8,1,3,7,4]
[8,3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3,8]
[2,8,1,4,7,3,5,6]=>[6,5,3,7,4,1,8,2]
[3,1,8,5,4,7,6,2]=>[2,6,7,4,5,8,1,3]
[4,1,5,8,3,7,6,2]=>[2,6,7,3,8,5,1,4]
[4,1,5,3,8,7,6,2]=>[2,6,7,8,3,5,1,4]
[4,5,1,8,2,7,6,3]=>[3,6,7,2,8,1,5,4]
[4,8,5,3,1,7,6,2]=>[2,6,7,1,3,5,8,4]
[4,5,2,8,1,7,6,3]=>[3,6,7,1,8,2,5,4]
[4,5,2,1,8,7,6,3]=>[3,6,7,8,1,2,5,4]
[5,6,2,7,8,1,4,3]=>[3,4,1,8,7,2,6,5]
[4,6,2,8,7,1,5,3]=>[3,5,1,7,8,2,6,4]
[4,8,6,3,7,1,5,2]=>[2,5,1,7,3,6,8,4]
[4,8,6,3,7,5,1,2]=>[2,1,5,7,3,6,8,4]
[4,6,8,2,7,5,1,3]=>[3,1,5,7,2,8,6,4]
[4,6,2,8,7,5,1,3]=>[3,1,5,7,8,2,6,4]
[5,6,2,7,4,1,8,3]=>[3,8,1,4,7,2,6,5]
[5,6,7,2,3,1,8,4]=>[4,8,1,3,2,7,6,5]
[5,6,7,2,8,3,1,4]=>[4,1,3,8,2,7,6,5]
[5,6,7,2,1,8,3,4]=>[4,3,8,1,2,7,6,5]
[5,6,7,2,1,3,8,4]=>[4,8,3,1,2,7,6,5]
[5,6,1,7,8,2,4,3]=>[3,4,2,8,7,1,6,5]
[5,6,1,7,2,4,8,3]=>[3,8,4,2,7,1,6,5]
[5,1,6,7,8,3,4,2]=>[2,4,3,8,7,6,1,5]
[4,1,6,8,7,3,5,2]=>[2,5,3,7,8,6,1,4]
[3,1,8,6,7,5,4,2]=>[2,4,5,7,6,8,1,3]
[4,1,6,8,7,5,3,2]=>[2,3,5,7,8,6,1,4]
[5,1,6,7,4,8,3,2]=>[2,3,8,4,7,6,1,5]
[5,6,1,7,8,4,2,3]=>[3,2,4,8,7,1,6,5]
[4,6,8,1,7,5,2,3]=>[3,2,5,7,1,8,6,4]
[4,8,6,1,7,5,3,2]=>[2,3,5,7,1,6,8,4]
[5,6,7,1,8,3,2,4]=>[4,2,3,8,1,7,6,5]
[5,6,7,1,3,8,2,4]=>[4,2,8,3,1,7,6,5]
[5,6,7,1,3,2,8,4]=>[4,8,2,3,1,7,6,5]
[5,6,7,3,1,2,8,4]=>[4,8,2,1,3,7,6,5]
[5,6,7,3,8,1,2,4]=>[4,2,1,8,3,7,6,5]
[5,6,8,7,4,2,1,3]=>[3,1,2,4,7,8,6,5]
[5,6,7,3,8,2,1,4]=>[4,1,2,8,3,7,6,5]
[7,4,6,2,3,5,1,8]=>[8,1,5,3,2,6,4,7]
[1,4,8,6,3,2,5,7]=>[7,5,2,3,6,8,4,1]
[7,4,1,6,3,8,5,2]=>[2,5,8,3,6,1,4,7]
[7,6,3,1,5,8,4,2]=>[2,4,8,5,1,3,6,7]
[6,4,2,5,7,3,1,8]=>[8,1,3,7,5,2,4,6]
[4,2,5,7,6,3,1,8]=>[8,1,3,6,7,5,2,4]
[7,4,5,6,1,8,3,2]=>[2,3,8,1,6,5,4,7]
[4,1,5,8,6,3,2,7]=>[7,2,3,6,8,5,1,4]
[3,2,7,6,1,8,5,4]=>[4,5,8,1,6,7,2,3]
[4,7,5,1,6,8,2,3]=>[3,2,8,6,1,5,7,4]
[8,6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6,8]
[3,2,5,1,4,8,7,6]=>[6,7,8,4,1,5,2,3]
[8,5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5,8]
[1,4,2,3,6,8,7,5]=>[5,7,8,6,3,2,4,1]
[5,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,5]
[4,7,1,8,2,5,3,6]=>[6,3,5,2,8,1,7,4]
[6,4,1,8,5,3,7,2]=>[2,7,3,5,8,1,4,6]
[8,4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4,8]
[3,2,5,4,7,8,1,6]=>[6,1,8,7,4,5,2,3]
[5,2,4,3,7,8,1,6]=>[6,1,8,7,3,4,2,5]
[8,1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1,8]
[3,1,7,6,5,8,2,4]=>[4,2,8,5,6,7,1,3]
[1,2,7,5,6,8,3,4]=>[4,3,8,6,5,7,2,1]
[6,1,4,7,2,8,3,5]=>[5,3,8,2,7,4,1,6]
[3,2,1,7,6,8,4,5]=>[5,4,8,6,7,1,2,3]
[3,2,8,6,4,7,1,5]=>[5,1,7,4,6,8,2,3]
[7,8,4,6,3,2,1,5]=>[5,1,2,3,6,4,8,7]
[1,8,6,5,3,7,2,4]=>[4,2,7,3,5,6,8,1]
[8,2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2,8]
[3,8,5,2,7,6,1,4]=>[4,1,6,7,2,5,8,3]
[4,7,5,3,1,8,6,2]=>[2,6,8,1,3,5,7,4]
[4,5,3,6,8,1,7,2]=>[2,7,1,8,6,3,5,4]
[3,5,2,6,1,8,7,4]=>[4,7,8,1,6,2,5,3]
[1,6,3,5,7,2,8,4]=>[4,8,2,7,5,3,6,1]
[1,5,4,6,7,8,2,3]=>[3,2,8,7,6,4,5,1]
[8,4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4,8]
[7,4,5,2,6,8,1,3]=>[3,1,8,6,2,5,4,7]
[5,4,2,6,8,7,1,3]=>[3,1,7,8,6,2,4,5]
[7,8,4,3,1,2,6,5]=>[5,6,2,1,3,4,8,7]
[6,5,1,4,3,2,8,7]=>[7,8,2,3,4,1,5,6]
[2,6,5,1,4,7,3,8]=>[8,3,7,4,1,5,6,2]
[3,6,4,5,2,1,8,7]=>[7,8,1,2,5,4,6,3]
[5,7,4,1,3,8,6,2]=>[2,6,8,3,1,4,7,5]
[7,5,4,2,3,8,1,6]=>[6,1,8,3,2,4,5,7]
[5,2,6,7,3,1,4,8]=>[8,4,1,3,7,6,2,5]
[2,4,3,8,6,1,5,7]=>[7,5,1,6,8,3,4,2]
[7,8,1,3,5,6,2,4]=>[4,2,6,5,3,1,8,7]
[7,8,3,1,5,6,2,4]=>[4,2,6,5,1,3,8,7]
[7,1,3,8,5,6,2,4]=>[4,2,6,5,8,3,1,7]
[1,7,8,3,5,6,2,4]=>[4,2,6,5,3,8,7,1]
[5,1,7,8,3,4,6,2]=>[2,6,4,3,8,7,1,5]
[1,5,7,8,3,4,6,2]=>[2,6,4,3,8,7,5,1]
[3,7,1,5,8,6,2,4]=>[4,2,6,8,5,1,7,3]
[1,3,7,8,2,5,6,4]=>[4,6,5,2,8,7,3,1]
[3,1,7,8,5,2,6,4]=>[4,6,2,5,8,7,1,3]
[1,3,7,5,8,2,6,4]=>[4,6,2,8,5,7,3,1]
[3,1,7,5,8,2,6,4]=>[4,6,2,8,5,7,1,3]
[3,5,7,1,8,4,6,2]=>[2,6,4,8,1,7,5,3]
[3,5,7,8,1,4,6,2]=>[2,6,4,1,8,7,5,3]
[5,3,7,8,4,6,1,2]=>[2,1,6,4,8,7,3,5]
[5,3,7,8,4,1,6,2]=>[2,6,1,4,8,7,3,5]
[5,3,7,8,1,4,6,2]=>[2,6,4,1,8,7,3,5]
[5,3,7,1,8,4,6,2]=>[2,6,4,8,1,7,3,5]
[1,5,3,7,8,4,2,6]=>[6,2,4,8,7,3,5,1]
[5,1,3,7,8,4,2,6]=>[6,2,4,8,7,3,1,5]
[3,6,2,1,4,5,8,7]=>[7,8,5,4,1,2,6,3]
[4,6,2,5,1,3,8,7]=>[7,8,3,1,5,2,6,4]
[6,4,2,5,1,3,8,7]=>[7,8,3,1,5,2,4,6]
[8,6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6,8]
[2,5,8,1,7,3,4,6]=>[6,4,3,7,1,8,5,2]
[6,8,2,7,3,1,4,5]=>[5,4,1,3,7,2,8,6]
[6,8,2,3,7,1,4,5]=>[5,4,1,7,3,2,8,6]
[8,6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6,8]
[5,2,8,1,7,3,4,6]=>[6,4,3,7,1,8,2,5]
[4,2,3,8,1,5,6,7]=>[7,6,5,1,8,3,2,4]
[5,2,8,3,7,1,4,6]=>[6,4,1,7,3,8,2,5]
[5,2,8,4,6,1,3,7]=>[7,3,1,6,4,8,2,5]
[2,1,5,8,4,3,6,7]=>[7,6,3,4,8,5,1,2]
[5,8,3,2,7,1,4,6]=>[6,4,1,7,2,3,8,5]
[4,1,3,8,2,5,6,7]=>[7,6,5,2,8,3,1,4]
[3,5,8,2,7,1,4,6]=>[6,4,1,7,2,8,5,3]
[4,5,8,2,6,1,3,7]=>[7,3,1,6,2,8,5,4]
[2,6,8,3,7,1,4,5]=>[5,4,1,7,3,8,6,2]
[5,1,8,3,7,2,4,6]=>[6,4,2,7,3,8,1,5]
[5,1,8,4,6,2,3,7]=>[7,3,2,6,4,8,1,5]
[5,8,4,1,6,2,3,7]=>[7,3,2,6,1,4,8,5]
[4,5,8,1,6,2,3,7]=>[7,3,2,6,1,8,5,4]
[5,4,8,1,6,2,3,7]=>[7,3,2,6,1,8,4,5]
[4,8,5,1,6,2,3,7]=>[7,3,2,6,1,5,8,4]
[2,1,5,4,8,3,6,7]=>[7,6,3,8,4,5,1,2]
[2,4,3,8,1,5,6,7]=>[7,6,5,1,8,3,4,2]
[3,1,8,4,2,5,6,7]=>[7,6,5,2,4,8,1,3]
[3,8,4,2,1,5,6,7]=>[7,6,5,1,2,4,8,3]
[2,3,8,4,1,5,6,7]=>[7,6,5,1,4,8,3,2]
[3,4,2,8,1,5,6,7]=>[7,6,5,1,8,2,4,3]
[3,8,5,2,7,1,4,6]=>[6,4,1,7,2,5,8,3]
[4,8,5,2,6,1,3,7]=>[7,3,1,6,2,5,8,4]
[2,1,4,8,5,3,6,7]=>[7,6,3,5,8,4,1,2]
[3,2,8,4,1,5,6,7]=>[7,6,5,1,4,8,2,3]
[2,8,4,3,1,5,6,7]=>[7,6,5,1,3,4,8,2]
[4,1,7,5,6,2,8,3]=>[3,8,2,6,5,7,1,4]
[5,7,4,3,8,1,6,2]=>[2,6,1,8,3,4,7,5]
[5,7,4,3,8,2,6,1]=>[1,6,2,8,3,4,7,5]
[3,8,4,2,6,7,5,1]=>[1,5,7,6,2,4,8,3]
[3,8,4,1,6,7,5,2]=>[2,5,7,6,1,4,8,3]
[6,1,7,5,2,8,4,3]=>[3,4,8,2,5,7,1,6]
[5,6,4,3,2,8,1,7]=>[7,1,8,2,3,4,6,5]
[2,6,7,5,3,8,4,1]=>[1,4,8,3,5,7,6,2]
[6,7,4,8,2,5,3,1]=>[1,3,5,2,8,4,7,6]
[2,1,6,7,5,3,8,4]=>[4,8,3,5,7,6,1,2]
[3,8,4,2,1,6,7,5]=>[5,7,6,1,2,4,8,3]
[5,7,4,3,8,2,1,6]=>[6,1,2,8,3,4,7,5]
[6,7,4,8,1,2,5,3]=>[3,5,2,1,8,4,7,6]
[6,7,5,8,1,2,4,3]=>[3,4,2,1,8,5,7,6]
[6,7,4,8,3,1,2,5]=>[5,2,1,3,8,4,7,6]
[3,4,8,1,2,5,7,6]=>[6,7,5,2,1,8,4,3]
[6,1,3,4,8,2,5,7]=>[7,5,2,8,4,3,1,6]
[6,2,3,4,8,1,5,7]=>[7,5,1,8,4,3,2,6]
[3,4,8,2,1,5,7,6]=>[6,7,5,1,2,8,4,3]
[6,7,5,8,2,4,3,1]=>[1,3,4,2,8,5,7,6]
[6,7,5,8,3,1,4,2]=>[2,4,1,3,8,5,7,6]
[3,4,8,1,5,7,6,2]=>[2,6,7,5,1,8,4,3]
[2,5,7,6,1,4,8,3]=>[3,8,4,1,6,7,5,2]
[6,7,4,8,2,3,5,1]=>[1,5,3,2,8,4,7,6]
[6,7,4,8,1,3,5,2]=>[2,5,3,1,8,4,7,6]
[2,6,7,5,1,3,8,4]=>[4,8,3,1,5,7,6,2]
[6,3,1,4,8,2,5,7]=>[7,5,2,8,4,1,3,6]
[6,7,4,8,1,3,2,5]=>[5,2,3,1,8,4,7,6]
[6,7,5,8,4,1,3,2]=>[2,3,1,4,8,5,7,6]
[6,7,4,8,2,1,3,5]=>[5,3,1,2,8,4,7,6]
[6,7,4,8,1,2,3,5]=>[5,3,2,1,8,4,7,6]
[1,5,6,3,4,8,2,7]=>[7,2,8,4,3,6,5,1]
[1,4,3,6,5,8,2,7]=>[7,2,8,5,6,3,4,1]
[8,1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1,8]
[5,1,7,3,4,8,2,6]=>[6,2,8,4,3,7,1,5]
[6,7,8,2,3,5,4,1]=>[1,4,5,3,2,8,7,6]
[5,8,6,2,3,7,4,1]=>[1,4,7,3,2,6,8,5]
[2,8,3,4,7,5,6,1]=>[1,6,5,7,4,3,8,2]
[1,8,3,4,7,6,2,5]=>[5,2,6,7,4,3,8,1]
[8,7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7,8]
[3,8,1,7,5,2,6,4]=>[4,6,2,5,7,1,8,3]
[4,8,1,6,7,2,5,3]=>[3,5,2,7,6,1,8,4]
[2,1,3,8,4,6,5,7]=>[7,5,6,4,8,3,1,2]
[8,2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2,8]
[1,3,2,8,5,4,6,7]=>[7,6,4,5,8,2,3,1]
[8,3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3,8]
[8,4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4,8]
[1,5,6,8,7,4,2,3]=>[3,2,4,7,8,6,5,1]
[8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8]
[1,4,8,5,7,6,2,3]=>[3,2,6,7,5,8,4,1]
[2,4,8,5,7,3,6,1]=>[1,6,3,7,5,8,4,2]
[4,3,8,6,5,7,2,1]=>[1,2,7,5,6,8,3,4]
[6,7,2,8,5,3,4,1]=>[1,4,3,5,8,2,7,6]
[5,2,7,8,6,3,4,1]=>[1,4,3,6,8,7,2,5]
[4,2,8,6,7,3,5,1]=>[1,5,3,7,6,8,2,4]
[3,2,8,7,5,4,6,1]=>[1,6,4,5,7,8,2,3]
[3,1,8,7,5,6,2,4]=>[4,2,6,5,7,8,1,3]
[4,1,8,6,7,5,2,3]=>[3,2,5,7,6,8,1,4]
[5,1,7,8,6,4,2,3]=>[3,2,4,6,8,7,1,5]
[6,7,1,8,5,4,2,3]=>[3,2,4,5,8,1,7,6]
[7,8,3,2,6,1,4,5]=>[5,4,1,6,2,3,8,7]
[3,4,8,2,6,1,7,5]=>[5,7,1,6,2,8,4,3]
[7,8,4,1,5,6,3,2]=>[2,3,6,5,1,4,8,7]
[7,8,1,4,5,6,3,2]=>[2,3,6,5,4,1,8,7]
[7,8,1,2,6,3,4,5]=>[5,4,3,6,2,1,8,7]
[7,8,5,1,4,6,3,2]=>[2,3,6,4,1,5,8,7]
[7,8,4,5,1,6,3,2]=>[2,3,6,1,5,4,8,7]
[5,3,8,4,1,6,7,2]=>[2,7,6,1,4,8,3,5]
[6,2,4,8,1,5,3,7]=>[7,3,5,1,8,4,2,6]
[3,4,8,5,1,6,7,2]=>[2,7,6,1,5,8,4,3]
[3,5,8,1,4,6,7,2]=>[2,7,6,4,1,8,5,3]
[1,4,8,2,6,3,7,5]=>[5,7,3,6,2,8,4,1]
[5,3,8,1,4,6,7,2]=>[2,7,6,4,1,8,3,5]
[4,2,6,8,1,5,3,7]=>[7,3,5,1,8,6,2,4]
[7,4,2,8,1,5,3,6]=>[6,3,5,1,8,2,4,7]
[6,1,7,5,8,4,3,2]=>[2,3,4,8,5,7,1,6]
[6,2,1,8,4,5,3,7]=>[7,3,5,4,8,1,2,6]
[1,2,7,8,5,3,4,6]=>[6,4,3,5,8,7,2,1]
[6,3,7,8,5,4,1,2]=>[2,1,4,5,8,7,3,6]
[6,1,5,7,8,4,3,2]=>[2,3,4,8,7,5,1,6]
[1,7,5,6,8,4,3,2]=>[2,3,4,8,6,5,7,1]
[3,1,8,4,5,6,7,2]=>[2,7,6,5,4,8,1,3]
[2,1,4,8,6,5,3,7]=>[7,3,5,6,8,4,1,2]
[2,4,1,8,6,5,3,7]=>[7,3,5,6,8,1,4,2]
[4,2,1,8,6,5,3,7]=>[7,3,5,6,8,1,2,4]
[3,2,7,8,5,1,4,6]=>[6,4,1,5,8,7,2,3]
[2,3,7,8,5,1,4,6]=>[6,4,1,5,8,7,3,2]
[2,7,3,8,5,1,4,6]=>[6,4,1,5,8,3,7,2]
[3,6,2,8,5,1,4,7]=>[7,4,1,5,8,2,6,3]
[4,1,2,8,7,5,3,6]=>[6,3,5,7,8,2,1,4]
[1,4,2,8,7,5,3,6]=>[6,3,5,7,8,2,4,1]
[7,3,6,8,5,4,1,2]=>[2,1,4,5,8,6,3,7]
[7,2,1,8,5,3,4,6]=>[6,4,3,5,8,1,2,7]
[1,2,6,8,4,5,3,7]=>[7,3,5,4,8,6,2,1]
[7,1,6,5,8,4,3,2]=>[2,3,4,8,5,6,1,7]
[6,5,7,1,8,4,3,2]=>[2,3,4,8,1,7,5,6]
[5,7,6,1,8,4,3,2]=>[2,3,4,8,1,6,7,5]
[6,7,1,5,8,4,3,2]=>[2,3,4,8,5,1,7,6]
[6,7,3,8,5,4,1,2]=>[2,1,4,5,8,3,7,6]
[7,1,2,8,4,5,3,6]=>[6,3,5,4,8,2,1,7]
[7,6,1,5,8,4,3,2]=>[2,3,4,8,5,1,6,7]
[7,5,6,1,8,4,3,2]=>[2,3,4,8,1,6,5,7]
[7,1,6,5,3,2,4,8]=>[8,4,2,3,5,6,1,7]
[1,8,7,5,3,2,4,6]=>[6,4,2,3,5,7,8,1]
[1,8,7,4,2,5,3,6]=>[6,3,5,2,4,7,8,1]
[8,7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7,8]
[7,1,6,4,2,5,3,8]=>[8,3,5,2,4,6,1,7]
[2,6,5,4,7,1,3,8]=>[8,3,1,7,4,5,6,2]
[7,1,5,3,6,4,2,8]=>[8,2,4,6,3,5,1,7]
[5,3,7,1,6,4,2,8]=>[8,2,4,6,1,7,3,5]
[5,3,6,4,2,7,1,8]=>[8,1,7,2,4,6,3,5]
[1,5,3,8,7,4,2,6]=>[6,2,4,7,8,3,5,1]
[7,4,2,8,6,3,5,1]=>[1,5,3,6,8,2,4,7]
[5,3,6,1,8,7,4,2]=>[2,4,7,8,1,6,3,5]
[6,1,5,3,8,7,4,2]=>[2,4,7,8,3,5,1,6]
[2,8,7,5,4,6,1,3]=>[3,1,6,4,5,7,8,2]
[2,3,1,8,7,5,4,6]=>[6,4,5,7,8,1,3,2]
[5,3,8,7,4,2,1,6]=>[6,1,2,4,7,8,3,5]
[7,4,2,1,8,6,3,5]=>[5,3,6,8,1,2,4,7]
[8,6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6,8]
[1,8,6,3,5,7,4,2]=>[2,4,7,5,3,6,8,1]
[6,3,8,5,2,1,7,4]=>[4,7,1,2,5,8,3,6]
[8,6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6,8]
[2,8,6,4,7,5,1,3]=>[3,1,5,7,4,6,8,2]
[5,1,8,6,3,7,4,2]=>[2,4,7,3,6,8,1,5]
[6,3,7,4,1,8,5,2]=>[2,5,8,1,4,7,3,6]
[8,5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5,8]
[6,1,8,7,4,2,5,3]=>[3,5,2,4,7,8,1,6]
[8,6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6,8]
[1,8,6,3,2,4,7,5]=>[5,7,4,2,3,6,8,1]
[8,6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6,8]
[7,5,1,8,6,3,2,4]=>[4,2,3,6,8,1,5,7]
[6,1,8,7,5,3,2,4]=>[4,2,3,5,7,8,1,6]
[4,3,2,8,7,6,1,5]=>[5,1,6,7,8,2,3,4]
[2,4,5,1,3,8,7,6]=>[6,7,8,3,1,5,4,2]
[7,5,8,6,3,2,4,1]=>[1,4,2,3,6,8,5,7]
[1,7,5,8,6,3,2,4]=>[4,2,3,6,8,5,7,1]
[1,7,4,2,5,8,6,3]=>[3,6,8,5,2,4,7,1]
[8,6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6,8]
[8,7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7,8]
[5,3,1,8,7,4,2,6]=>[6,2,4,7,8,1,3,5]
[4,1,8,7,5,3,2,6]=>[6,2,3,5,7,8,1,4]
[2,8,6,4,1,3,7,5]=>[5,7,3,1,4,6,8,2]
[4,1,8,6,3,2,7,5]=>[5,7,2,3,6,8,1,4]
[7,4,2,8,6,3,1,5]=>[5,1,3,6,8,2,4,7]
[6,3,1,8,5,2,7,4]=>[4,7,2,5,8,1,3,6]
[8,5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5,8]
[7,4,8,5,2,6,3,1]=>[1,3,6,2,5,8,4,7]
[1,8,5,2,7,4,6,3]=>[3,6,4,7,2,5,8,1]
[8,5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5,8]
[7,4,6,3,1,8,5,2]=>[2,5,8,1,3,6,4,7]
[6,3,1,7,4,8,5,2]=>[2,5,8,4,7,1,3,6]
[8,6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6,8]
[4,1,7,5,8,6,3,2]=>[2,3,6,8,5,7,1,4]
[2,3,1,7,5,8,6,4]=>[4,6,8,5,7,1,3,2]
[7,4,8,5,2,1,6,3]=>[3,6,1,2,5,8,4,7]
[8,5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5,8]
[1,7,4,6,3,8,5,2]=>[2,5,8,3,6,4,7,1]
[3,6,5,2,1,4,8,7]=>[7,8,4,1,2,5,6,3]
[3,5,6,2,1,4,8,7]=>[7,8,4,1,2,6,5,3]
[3,5,7,8,1,4,2,6]=>[6,2,4,1,8,7,5,3]
[4,1,8,5,7,3,2,6]=>[6,2,3,7,5,8,1,4]
[4,1,7,5,8,3,2,6]=>[6,2,3,8,5,7,1,4]
[2,1,5,8,7,4,3,6]=>[6,3,4,7,8,5,1,2]
[2,1,5,7,8,4,3,6]=>[6,3,4,8,7,5,1,2]
[5,1,7,4,8,3,2,6]=>[6,2,3,8,4,7,1,5]
[4,7,2,8,3,6,1,5]=>[5,1,6,3,8,2,7,4]
[4,6,2,7,3,1,8,5]=>[5,8,1,3,7,2,6,4]
[3,7,8,2,4,1,6,5]=>[5,6,1,4,2,8,7,3]
[3,8,7,2,4,1,6,5]=>[5,6,1,4,2,7,8,3]
[3,8,6,2,4,1,7,5]=>[5,7,1,4,2,6,8,3]
[6,2,8,4,1,7,3,5]=>[5,3,7,1,4,8,2,6]
[7,3,4,8,1,6,2,5]=>[5,2,6,1,8,4,3,7]
[6,3,4,8,1,7,2,5]=>[5,2,7,1,8,4,3,6]
[5,3,4,8,1,2,7,6]=>[6,7,2,1,8,4,3,5]
[4,3,5,8,1,2,7,6]=>[6,7,2,1,8,5,3,4]
[1,8,5,4,2,3,7,6]=>[6,7,3,2,4,5,8,1]
[3,5,4,8,1,2,7,6]=>[6,7,2,1,8,4,5,3]
[4,5,3,8,1,2,7,6]=>[6,7,2,1,8,3,5,4]
[6,4,3,8,1,7,2,5]=>[5,2,7,1,8,3,4,6]
[7,4,3,8,1,6,2,5]=>[5,2,6,1,8,3,4,7]
[6,5,3,8,7,1,2,4]=>[4,2,1,7,8,3,5,6]
[5,6,3,8,7,1,2,4]=>[4,2,1,7,8,3,6,5]
[4,6,3,8,1,7,2,5]=>[5,2,7,1,8,3,6,4]
[2,6,8,4,1,7,3,5]=>[5,3,7,1,4,8,6,2]
[1,8,7,4,2,6,3,5]=>[5,3,6,2,4,7,8,1]
[5,7,3,8,6,1,2,4]=>[4,2,1,6,8,3,7,5]
[3,7,5,8,6,1,2,4]=>[4,2,1,6,8,5,7,3]
[2,7,8,5,6,1,3,4]=>[4,3,1,6,5,8,7,2]
[1,8,7,5,6,2,3,4]=>[4,3,2,6,5,7,8,1]
[2,6,8,5,7,1,3,4]=>[4,3,1,7,5,8,6,2]
[5,3,6,8,7,1,2,4]=>[4,2,1,7,8,6,3,5]
[6,3,5,8,7,1,2,4]=>[4,2,1,7,8,5,3,6]
[7,2,8,5,6,1,3,4]=>[4,3,1,6,5,8,2,7]
[5,2,8,6,7,1,3,4]=>[4,3,1,7,6,8,2,5]
[1,8,3,2,7,6,4,5]=>[5,4,6,7,2,3,8,1]
[5,2,8,7,6,1,3,4]=>[4,3,1,6,7,8,2,5]
[6,2,8,7,5,1,3,4]=>[4,3,1,5,7,8,2,6]
[3,4,7,8,1,6,2,5]=>[5,2,6,1,8,7,4,3]
[1,8,5,7,6,2,3,4]=>[4,3,2,6,7,5,8,1]
[2,5,8,7,6,1,3,4]=>[4,3,1,6,7,8,5,2]
[7,4,6,5,8,1,2,3]=>[3,2,1,8,5,6,4,7]
[3,6,7,8,5,1,2,4]=>[4,2,1,5,8,7,6,3]
[2,6,8,7,5,1,3,4]=>[4,3,1,5,7,8,6,2]
[1,8,6,7,5,2,3,4]=>[4,3,2,5,7,6,8,1]
[2,7,8,6,5,1,3,4]=>[4,3,1,5,6,8,7,2]
[5,7,6,4,8,1,2,3]=>[3,2,1,8,4,6,7,5]
[6,3,8,7,5,1,2,4]=>[4,2,1,5,7,8,3,6]
[2,8,7,4,1,3,5,6]=>[6,5,3,1,4,7,8,2]
[5,4,8,7,1,3,2,6]=>[6,2,3,1,7,8,4,5]
[4,8,6,1,3,2,5,7]=>[7,5,2,3,1,6,8,4]
[5,4,2,7,6,8,1,3]=>[3,1,8,6,7,2,4,5]
[2,8,7,1,4,5,3,6]=>[6,3,5,4,1,7,8,2]
[4,2,1,8,7,3,5,6]=>[6,5,3,7,8,1,2,4]
[5,1,6,3,2,8,7,4]=>[4,7,8,2,3,6,1,5]
[4,6,1,8,7,3,2,5]=>[5,2,3,7,8,1,6,4]
[8,7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7,8]
[5,3,1,4,8,7,2,6]=>[6,2,7,8,4,1,3,5]
[4,3,5,2,8,7,1,6]=>[6,1,7,8,2,5,3,4]
[3,4,2,8,6,1,5,7]=>[7,5,1,6,8,2,4,3]
[3,7,6,8,1,5,2,4]=>[4,2,5,1,8,6,7,3]
[8,1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1,8]
[3,7,2,1,8,6,4,5]=>[5,4,6,8,1,2,7,3]
[2,8,6,1,7,3,5,4]=>[4,5,3,7,1,6,8,2]
[1,7,6,3,5,8,2,4]=>[4,2,8,5,3,6,7,1]
[3,7,5,1,6,8,2,4]=>[4,2,8,6,1,5,7,3]
[3,6,5,8,1,4,7,2]=>[2,7,4,1,8,5,6,3]
[8,1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1,8]
[3,6,7,4,1,8,2,5]=>[5,2,8,1,4,7,6,3]
[1,7,4,6,8,2,5,3]=>[3,5,2,8,6,4,7,1]
[7,5,8,2,6,3,1,4]=>[4,1,3,6,2,8,5,7]
[2,7,1,6,5,4,8,3]=>[3,8,4,5,6,1,7,2]
[7,3,2,6,1,8,5,4]=>[4,5,8,1,6,2,3,7]
[6,4,7,2,3,1,8,5]=>[5,8,1,3,2,7,4,6]
[5,3,1,8,4,6,2,7]=>[7,2,6,4,8,1,3,5]
[3,8,1,6,7,4,2,5]=>[5,2,4,7,6,1,8,3]
[2,7,4,3,6,8,1,5]=>[5,1,8,6,3,4,7,2]
[2,8,4,6,1,5,3,7]=>[7,3,5,1,6,4,8,2]
[8,4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4,8]
[4,7,3,8,5,2,1,6]=>[6,1,2,5,8,3,7,4]
[3,1,7,4,8,5,2,6]=>[6,2,5,8,4,7,1,3]
[7,4,1,6,3,2,8,5]=>[5,8,2,3,6,1,4,7]
[3,8,6,2,7,4,1,5]=>[5,1,4,7,2,6,8,3]
[7,3,1,4,5,2,8,6]=>[6,8,2,5,4,1,3,7]
[6,1,4,8,5,3,2,7]=>[7,2,3,5,8,4,1,6]
[8,1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1,8]
[8,1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1,8]
[7,5,2,3,8,6,1,4]=>[4,1,6,8,3,2,5,7]
[8,6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6,8]
[4,7,5,1,8,6,3,2]=>[2,3,6,8,1,5,7,4]
[4,7,3,2,8,5,6,1]=>[1,6,5,8,2,3,7,4]
[8,4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4,8]
[7,5,8,4,2,3,6,1]=>[1,6,3,2,4,8,5,7]
[3,8,4,6,1,7,5,2]=>[2,5,7,1,6,4,8,3]
[3,7,4,6,5,2,8,1]=>[1,8,2,5,6,4,7,3]
[4,2,7,6,1,5,8,3]=>[3,8,5,1,6,7,2,4]
[8,3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3,8]
[3,5,1,6,8,4,7,2]=>[2,7,4,8,6,1,5,3]
[6,1,5,7,3,8,4,2]=>[2,4,8,3,7,5,1,6]
[5,8,4,7,3,2,6,1]=>[1,6,2,3,7,4,8,5]
[7,2,6,5,8,4,1,3]=>[3,1,4,8,5,6,2,7]
[8,3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3,8]
[2,6,8,3,7,4,1,5]=>[5,1,4,7,3,8,6,2]
[8,1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1,8]
[2,5,8,1,6,4,7,3]=>[3,7,4,6,1,8,5,2]
[7,4,1,8,3,2,6,5]=>[5,6,2,3,8,1,4,7]
[8,3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3,8]
[5,2,6,8,3,1,7,4]=>[4,7,1,3,8,6,2,5]
[3,6,5,8,4,1,7,2]=>[2,7,1,4,8,5,6,3]
[7,3,6,1,8,4,5,2]=>[2,5,4,8,1,6,3,7]
[8,2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2,8]
[7,3,8,2,5,6,4,1]=>[1,4,6,5,2,8,3,7]
[5,7,3,1,6,4,8,2]=>[2,8,4,6,1,3,7,5]
[6,1,3,2,4,8,7,5]=>[5,7,8,4,2,3,1,6]
[8,7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7,8]
[8,7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7,8]
[3,7,1,5,2,8,6,4]=>[4,6,8,2,5,1,7,3]
[8,7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7,8]
[8,7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7,8]
[5,2,8,7,1,4,3,6]=>[6,3,4,1,7,8,2,5]
[7,1,8,6,2,4,3,5]=>[5,3,4,2,6,8,1,7]
[8,1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1,8]
[7,1,6,2,8,5,3,4]=>[4,3,5,8,2,6,1,7]
[6,3,4,1,7,2,8,5]=>[5,8,2,7,1,4,3,6]
[7,2,4,3,5,1,8,6]=>[6,8,1,5,3,4,2,7]
[5,1,7,2,3,8,6,4]=>[4,6,8,3,2,7,1,5]
[8,2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2,8]
[7,6,3,1,4,8,2,5]=>[5,2,8,4,1,3,6,7]
[6,1,8,2,7,5,3,4]=>[4,3,5,7,2,8,1,6]
[7,2,8,1,6,5,3,4]=>[4,3,5,6,1,8,2,7]
[7,2,6,4,3,8,1,5]=>[5,1,8,3,4,6,2,7]
[5,1,7,4,3,8,2,6]=>[6,2,8,3,4,7,1,5]
[5,3,1,7,4,8,2,6]=>[6,2,8,4,7,1,3,5]
[7,4,8,2,1,5,3,6]=>[6,3,5,1,2,8,4,7]
[8,2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2,8]
[8,2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2,8]
[6,1,7,3,2,8,5,4]=>[4,5,8,2,3,7,1,6]
[4,7,2,1,6,3,8,5]=>[5,8,3,6,1,2,7,4]
[6,2,1,5,3,8,4,7]=>[7,4,8,3,5,1,2,6]
[5,3,1,6,2,8,4,7]=>[7,4,8,2,6,1,3,5]
[6,1,5,2,8,4,3,7]=>[7,3,4,8,2,5,1,6]
[7,4,3,8,1,5,2,6]=>[6,2,5,1,8,3,4,7]
[7,4,8,1,5,3,2,6]=>[6,2,3,5,1,8,4,7]
[6,1,5,3,2,8,4,7]=>[7,4,8,2,3,5,1,6]
[6,3,2,8,4,1,5,7]=>[7,5,1,4,8,2,3,6]
[7,3,4,2,8,5,1,6]=>[6,1,5,8,2,4,3,7]
[7,1,6,3,4,2,8,5]=>[5,8,2,4,3,6,1,7]
[8,5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5,8]
[3,8,6,1,5,2,7,4]=>[4,7,2,5,1,6,8,3]
[8,6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6,8]
[4,8,5,6,1,7,3,2]=>[2,3,7,1,6,5,8,4]
[6,7,1,3,8,5,2,4]=>[4,2,5,8,3,1,7,6]
[3,6,7,1,5,2,8,4]=>[4,8,2,5,1,7,6,3]
[7,1,3,8,4,2,6,5]=>[5,6,2,4,8,3,1,7]
[5,6,2,7,1,3,8,4]=>[4,8,3,1,7,2,6,5]
[5,6,2,8,1,3,7,4]=>[4,7,3,1,8,2,6,5]
[6,1,8,3,7,5,2,4]=>[4,2,5,7,3,8,1,6]
[7,4,2,1,5,8,3,6]=>[6,3,8,5,1,2,4,7]
[7,4,1,5,8,3,2,6]=>[6,2,3,8,5,1,4,7]
[7,3,2,6,4,8,1,5]=>[5,1,8,4,6,2,3,7]
[6,4,2,7,3,8,1,5]=>[5,1,8,3,7,2,4,6]
[5,1,8,3,7,4,2,6]=>[6,2,4,7,3,8,1,5]
[7,4,8,3,1,5,2,6]=>[6,2,5,1,3,8,4,7]
[5,2,1,7,4,8,3,6]=>[6,3,8,4,7,1,2,5]
[6,1,8,4,5,2,7,3]=>[3,7,2,5,4,8,1,6]
[7,1,6,4,5,2,8,3]=>[3,8,2,5,4,6,1,7]
[3,5,2,7,1,6,8,4]=>[4,8,6,1,7,2,5,3]
[4,5,7,3,1,6,8,2]=>[2,8,6,1,3,7,5,4]
[4,5,7,2,8,6,1,3]=>[3,1,6,8,2,7,5,4]
[3,5,1,7,2,6,8,4]=>[4,8,6,2,7,1,5,3]
[4,5,7,2,8,1,3,6]=>[6,3,1,8,2,7,5,4]
[4,6,7,2,1,5,8,3]=>[3,8,5,1,2,7,6,4]
[4,6,7,1,3,8,5,2]=>[2,5,8,3,1,7,6,4]
[3,6,1,5,7,8,4,2]=>[2,4,8,7,5,1,6,3]
[4,6,7,1,5,8,3,2]=>[2,3,8,5,1,7,6,4]
[6,1,3,7,4,8,5,2]=>[2,5,8,4,7,3,1,6]
[3,2,1,7,4,8,5,6]=>[6,5,8,4,7,1,2,3]
[4,1,5,2,7,6,3,8]=>[8,3,6,7,2,5,1,4]
[2,5,1,3,7,6,4,8]=>[8,4,6,7,3,1,5,2]
[2,5,1,4,3,8,6,7]=>[7,6,8,3,4,1,5,2]
[3,7,2,1,5,8,6,4]=>[4,6,8,5,1,2,7,3]
[6,2,7,1,4,8,5,3]=>[3,5,8,4,1,7,2,6]
[3,7,4,2,1,8,5,6]=>[6,5,8,1,2,4,7,3]
[7,2,5,3,1,8,6,4]=>[4,6,8,1,3,5,2,7]
[7,5,1,4,2,8,6,3]=>[3,6,8,2,4,1,5,7]
[7,5,4,1,3,8,6,2]=>[2,6,8,3,1,4,5,7]
[5,3,2,1,7,6,4,8]=>[8,4,6,7,1,2,3,5]
[6,3,2,8,1,5,7,4]=>[4,7,5,1,8,2,3,6]
[7,4,3,2,8,1,6,5]=>[5,6,1,8,2,3,4,7]
[7,6,2,4,8,3,5,1]=>[1,5,3,8,4,2,6,7]
[7,3,6,4,8,1,5,2]=>[2,5,1,8,4,6,3,7]
[2,7,5,3,8,1,4,6]=>[6,4,1,8,3,5,7,2]
[1,8,5,3,6,4,2,7]=>[7,2,4,6,3,5,8,1]
[8,6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6,8]
[8,6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6,8]
[8,3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3,8]
[7,2,6,1,5,4,3,8]=>[8,3,4,5,1,6,2,7]
[8,5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5,8]
[8,5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5,8]
[8,4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4,8]
[2,8,5,6,1,4,3,7]=>[7,3,4,1,6,5,8,2]
[7,2,6,8,4,1,5,3]=>[3,5,1,4,8,6,2,7]
[7,6,4,8,3,2,5,1]=>[1,5,2,3,8,4,6,7]
[6,5,8,1,4,2,7,3]=>[3,7,2,4,1,8,5,6]
[6,5,8,4,1,3,7,2]=>[2,7,3,1,4,8,5,6]
[5,4,8,3,2,1,7,6]=>[6,7,1,2,3,8,4,5]
[4,3,7,2,1,6,5,8]=>[8,5,6,1,2,7,3,4]
[2,5,8,1,4,3,7,6]=>[6,7,3,4,1,8,5,2]
[3,6,8,2,1,5,7,4]=>[4,7,5,1,2,8,6,3]
[5,7,4,8,1,3,6,2]=>[2,6,3,1,8,4,7,5]
[5,7,1,4,8,2,6,3]=>[3,6,2,8,4,1,7,5]
[2,7,4,1,8,3,6,5]=>[5,6,3,8,1,4,7,2]
[3,5,1,8,4,2,7,6]=>[6,7,2,4,8,1,5,3]
[4,1,5,7,3,6,2,8]=>[8,2,6,3,7,5,1,4]
[4,2,5,8,3,1,7,6]=>[6,7,1,3,8,5,2,4]
[6,1,2,7,8,3,5,4]=>[4,5,3,8,7,2,1,6]
[5,3,1,8,6,4,2,7]=>[7,2,4,6,8,1,3,5]
[3,1,8,4,7,5,2,6]=>[6,2,5,7,4,8,1,3]
[4,2,8,7,3,5,1,6]=>[6,1,5,3,7,8,2,4]
[4,8,1,7,6,2,3,5]=>[5,3,2,6,7,1,8,4]
[6,8,1,4,7,5,2,3]=>[3,2,5,7,4,1,8,6]
[7,3,8,1,6,4,2,5]=>[5,2,4,6,1,8,3,7]
[4,7,8,1,5,3,2,6]=>[6,2,3,5,1,8,7,4]
[7,1,8,6,2,5,3,4]=>[4,3,5,2,6,8,1,7]
[5,8,7,1,3,6,4,2]=>[2,4,6,3,1,7,8,5]
[3,8,7,2,1,6,4,5]=>[5,4,6,1,2,7,8,3]
[2,8,7,1,6,3,5,4]=>[4,5,3,6,1,7,8,2]
[3,7,6,1,5,4,2,8]=>[8,2,4,5,1,6,7,3]
[4,8,7,6,1,3,5,2]=>[2,5,3,1,6,7,8,4]
[5,8,7,2,6,1,4,3]=>[3,4,1,6,2,7,8,5]
[6,8,1,7,5,2,4,3]=>[3,4,2,5,7,1,8,6]
[7,3,8,6,5,1,2,4]=>[4,2,1,5,6,8,3,7]
[5,7,8,4,3,1,2,6]=>[6,2,1,3,4,8,7,5]
[5,8,6,4,3,2,1,7]=>[7,1,2,3,4,6,8,5]
[8,7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7,8]
[6,1,4,2,5,3,7,8]=>[8,7,3,5,2,4,1,6]
[1,3,7,5,4,2,8,6]=>[6,8,2,4,5,7,3,1]
[6,1,3,5,4,2,7,8]=>[8,7,2,4,5,3,1,6]
[6,1,2,5,4,7,3,8]=>[8,3,7,4,5,2,1,6]
[5,1,6,3,4,7,8,2]=>[2,8,7,4,3,6,1,5]
[5,2,6,3,4,7,1,8]=>[8,1,7,4,3,6,2,5]
[3,4,7,5,8,6,1,2]=>[2,1,6,8,5,7,4,3]
[2,4,7,1,5,3,8,6]=>[6,8,3,5,1,7,4,2]
[2,3,6,7,4,8,1,5]=>[5,1,8,4,7,6,3,2]
[1,3,6,7,4,8,5,2]=>[2,5,8,4,7,6,3,1]
[2,7,6,5,3,1,8,4]=>[4,8,1,3,5,6,7,2]
[5,2,6,1,4,7,8,3]=>[3,8,7,4,1,6,2,5]
[4,7,6,5,2,1,8,3]=>[3,8,1,2,5,6,7,4]
[5,3,6,2,4,1,7,8]=>[8,7,1,4,2,6,3,5]
[5,7,4,2,1,3,6,8]=>[8,6,3,1,2,4,7,5]
[6,3,1,5,4,7,8,2]=>[2,8,7,4,5,1,3,6]
[5,3,6,1,4,2,7,8]=>[8,7,2,4,1,6,3,5]
[1,7,4,2,6,3,8,5]=>[5,8,3,6,2,4,7,1]
[5,7,4,1,2,3,6,8]=>[8,6,3,2,1,4,7,5]
[6,4,1,2,5,3,7,8]=>[8,7,3,5,2,1,4,6]
[4,7,6,3,8,5,1,2]=>[2,1,5,8,3,6,7,4]
[3,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,3]
[4,7,2,6,1,3,8,5]=>[5,8,3,1,6,2,7,4]
[2,7,1,6,8,3,5,4]=>[4,5,3,8,6,1,7,2]
[2,7,6,5,8,1,4,3]=>[3,4,1,8,5,6,7,2]
[5,2,8,7,6,4,3,1]=>[1,3,4,6,7,8,2,5]
[8,2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2,8]
[8,4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4,8]
[4,5,6,2,3,8,1,7]=>[7,1,8,3,2,6,5,4]
[4,5,3,2,7,8,1,6]=>[6,1,8,7,2,3,5,4]
[6,5,7,3,8,4,2,1]=>[1,2,4,8,3,7,5,6]
[6,8,7,2,4,3,5,1]=>[1,5,3,4,2,7,8,6]
[3,2,7,4,5,8,1,6]=>[6,1,8,5,4,7,2,3]
[6,8,1,5,2,4,3,7]=>[7,3,4,2,5,1,8,6]
[8,3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3,8]
[2,3,4,7,5,8,1,6]=>[6,1,8,5,7,4,3,2]
[6,3,4,7,8,2,5,1]=>[1,5,2,8,7,4,3,6]
[5,3,7,4,8,6,1,2]=>[2,1,6,8,4,7,3,5]
[8,3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3,8]
[1,3,7,4,8,6,2,5]=>[5,2,6,8,4,7,3,1]
[3,7,8,5,4,1,2,6]=>[6,2,1,4,5,8,7,3]
[5,4,3,1,7,8,2,6]=>[6,2,8,7,1,3,4,5]
[5,7,6,2,8,4,1,3]=>[3,1,4,8,2,6,7,5]
[6,1,7,5,8,3,4,2]=>[2,4,3,8,5,7,1,6]
[7,5,6,4,1,3,8,2]=>[2,8,3,1,4,6,5,7]
[1,5,6,8,4,7,3,2]=>[2,3,7,4,8,6,5,1]
[4,1,3,7,6,5,8,2]=>[2,8,5,6,7,3,1,4]
[3,4,1,7,5,8,6,2]=>[2,6,8,5,7,1,4,3]
[8,5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5,8]
[6,8,5,1,7,2,4,3]=>[3,4,2,7,1,5,8,6]
[8,2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2,8]
[7,8,3,6,2,1,4,5]=>[5,4,1,2,6,3,8,7]
[8,1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1,8]
[1,8,7,2,3,5,6,4]=>[4,6,5,3,2,7,8,1]
[2,8,3,1,6,7,5,4]=>[4,5,7,6,1,3,8,2]
[8,2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2,8]
[3,8,4,1,2,7,6,5]=>[5,6,7,2,1,4,8,3]
[5,4,7,2,3,6,8,1]=>[1,8,6,3,2,7,4,5]
[6,3,2,1,8,4,7,5]=>[5,7,4,8,1,2,3,6]
[2,3,7,4,1,8,5,6]=>[6,5,8,1,4,7,3,2]
[6,4,1,3,2,7,8,5]=>[5,8,7,2,3,1,4,6]
[2,7,8,5,1,3,6,4]=>[4,6,3,1,5,8,7,2]
[8,2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2,8]
[2,8,5,4,7,6,1,3]=>[3,1,6,7,4,5,8,2]
[6,7,1,5,8,2,4,3]=>[3,4,2,8,5,1,7,6]
[4,8,7,6,2,3,5,1]=>[1,5,3,2,6,7,8,4]
[7,8,1,5,3,2,6,4]=>[4,6,2,3,5,1,8,7]
[6,5,7,3,8,2,1,4]=>[4,1,2,8,3,7,5,6]
[8,1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1,8]
[7,3,4,6,1,5,8,2]=>[2,8,5,1,6,4,3,7]
[8,3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3,8]
[4,2,6,8,3,1,5,7]=>[7,5,1,3,8,6,2,4]
[3,7,6,2,4,5,1,8]=>[8,1,5,4,2,6,7,3]
[2,3,6,5,8,1,4,7]=>[7,4,1,8,5,6,3,2]
[2,3,5,8,6,1,4,7]=>[7,4,1,6,8,5,3,2]
[4,2,3,8,6,1,5,7]=>[7,5,1,6,8,3,2,4]
[6,4,1,2,8,3,5,7]=>[7,5,3,8,2,1,4,6]
[1,2,3,7,4,6,8,5]=>[5,8,6,4,7,3,2,1]
[3,2,7,1,4,5,8,6]=>[6,8,5,4,1,7,2,3]
[2,1,5,3,8,7,4,6]=>[6,4,7,8,3,5,1,2]
[5,8,3,2,4,1,6,7]=>[7,6,1,4,2,3,8,5]
[4,2,7,1,8,3,5,6]=>[6,5,3,8,1,7,2,4]
[4,1,8,2,7,3,5,6]=>[6,5,3,7,2,8,1,4]
[1,2,7,5,3,8,4,6]=>[6,4,8,3,5,7,2,1]
[3,2,7,1,4,8,5,6]=>[6,5,8,4,1,7,2,3]
[1,2,3,7,6,8,4,5]=>[5,4,8,6,7,3,2,1]
[1,2,3,6,8,7,4,5]=>[5,4,7,8,6,3,2,1]
[1,2,3,7,8,4,6,5]=>[5,6,4,8,7,3,2,1]
[1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]
[1,2,3,7,8,6,4,5]=>[5,4,6,8,7,3,2,1]
[6,2,8,3,7,5,1,4]=>[4,1,5,7,3,8,2,6]
[4,2,8,3,7,5,6,1]=>[1,6,5,7,3,8,2,4]
[7,3,4,8,6,5,1,2]=>[2,1,5,6,8,4,3,7]
[5,3,4,8,7,2,6,1]=>[1,6,2,7,8,4,3,5]
[4,3,5,8,7,2,6,1]=>[1,6,2,7,8,5,3,4]
[4,6,3,8,5,7,2,1]=>[1,2,7,5,8,3,6,4]
[7,5,3,8,6,2,4,1]=>[1,4,2,6,8,3,5,7]
[2,6,8,3,7,4,5,1]=>[1,5,4,7,3,8,6,2]
[1,8,4,3,7,5,6,2]=>[2,6,5,7,3,4,8,1]
[2,5,8,3,7,4,6,1]=>[1,6,4,7,3,8,5,2]
[7,4,3,8,6,2,5,1]=>[1,5,2,6,8,3,4,7]
[3,5,4,8,7,2,6,1]=>[1,6,2,7,8,4,5,3]
[4,5,3,8,6,7,2,1]=>[1,2,7,6,8,3,5,4]
[3,6,7,8,4,5,2,1]=>[1,2,5,4,8,7,6,3]
[2,6,8,5,4,7,3,1]=>[1,3,7,4,5,8,6,2]
[1,8,5,6,4,7,3,2]=>[2,3,7,4,6,5,8,1]
[2,5,8,6,4,7,3,1]=>[1,3,7,4,6,8,5,2]
[7,4,6,5,8,3,2,1]=>[1,2,3,8,5,6,4,7]
[6,3,7,8,4,5,2,1]=>[1,2,5,4,8,7,3,6]
[4,3,7,8,5,6,2,1]=>[1,2,6,5,8,7,3,4]
[5,2,8,6,4,7,3,1]=>[1,3,7,4,6,8,2,5]
[4,2,8,6,5,7,3,1]=>[1,3,7,5,6,8,2,4]
[3,2,8,6,7,4,5,1]=>[1,5,4,7,6,8,2,3]
[2,3,8,7,5,4,6,1]=>[1,6,4,5,7,8,3,2]
[1,8,2,7,4,5,6,3]=>[3,6,5,4,7,2,8,1]
[7,2,8,6,3,4,5,1]=>[1,5,4,3,6,8,2,7]
[6,2,8,4,5,7,3,1]=>[1,3,7,5,4,8,2,6]
[5,2,8,4,6,7,3,1]=>[1,3,7,6,4,8,2,5]
[4,2,8,5,6,7,3,1]=>[1,3,7,6,5,8,2,4]
[4,3,6,8,5,7,2,1]=>[1,2,7,5,8,6,3,4]
[3,4,6,8,7,2,5,1]=>[1,5,2,7,8,6,4,3]
[7,3,5,8,6,2,4,1]=>[1,4,2,6,8,5,3,7]
[1,8,3,5,7,4,6,2]=>[2,6,4,7,5,3,8,1]
[2,7,8,4,5,6,3,1]=>[1,3,6,5,4,8,7,2]
[3,7,5,8,4,6,2,1]=>[1,2,6,4,8,5,7,3]
[5,7,4,6,8,3,2,1]=>[1,2,3,8,6,4,7,5]
[3,6,5,8,4,7,2,1]=>[1,2,7,4,8,5,6,3]
[2,6,8,4,5,7,3,1]=>[1,3,7,5,4,8,6,2]
[4,2,7,1,3,8,5,6]=>[6,5,8,3,1,7,2,4]
[4,2,5,1,3,8,6,7]=>[7,6,8,3,1,5,2,4]
[5,3,6,1,7,2,4,8]=>[8,4,2,7,1,6,3,5]
[3,7,1,2,5,8,6,4]=>[4,6,8,5,2,1,7,3]
[3,7,4,1,2,8,5,6]=>[6,5,8,2,1,4,7,3]
[7,5,1,3,4,8,6,2]=>[2,6,8,4,3,1,5,7]
[7,5,1,2,4,8,6,3]=>[3,6,8,4,2,1,5,7]
[6,4,2,3,7,1,5,8]=>[8,5,1,7,3,2,4,6]
[7,6,3,8,1,2,5,4]=>[4,5,2,1,8,3,6,7]
[7,4,2,3,8,1,6,5]=>[5,6,1,8,3,2,4,7]
[4,7,5,2,8,1,3,6]=>[6,3,1,8,2,5,7,4]
[8,2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2,8]
[8,6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6,8]
[8,4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4,8]
[8,5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5,8]
[8,5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5,8]
[8,6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6,8]
[3,8,5,6,1,2,4,7]=>[7,4,2,1,6,5,8,3]
[3,7,5,8,1,2,4,6]=>[6,4,2,1,8,5,7,3]
[7,6,4,8,1,3,5,2]=>[2,5,3,1,8,4,6,7]
[6,5,8,1,2,4,7,3]=>[3,7,4,2,1,8,5,6]
[3,6,8,1,2,5,7,4]=>[4,7,5,2,1,8,6,3]
[3,7,2,4,8,1,6,5]=>[5,6,1,8,4,2,7,3]
[4,6,3,8,1,2,5,7]=>[7,5,2,1,8,3,6,4]
[4,6,3,7,1,2,5,8]=>[8,5,2,1,7,3,6,4]
[4,1,7,8,2,3,6,5]=>[5,6,3,2,8,7,1,4]
[5,1,2,8,6,3,4,7]=>[7,4,3,6,8,2,1,5]
[5,3,8,1,6,2,4,7]=>[7,4,2,6,1,8,3,5]
[6,1,8,5,2,3,4,7]=>[7,4,3,2,5,8,1,6]
[6,1,7,5,2,3,4,8]=>[8,4,3,2,5,7,1,6]
[6,8,1,3,7,4,5,2]=>[2,5,4,7,3,1,8,6]
[7,2,8,1,6,3,4,5]=>[5,4,3,6,1,8,2,7]
[4,7,8,2,5,1,3,6]=>[6,3,1,5,2,8,7,4]
[6,8,2,7,1,4,5,3]=>[3,5,4,1,7,2,8,6]
[4,8,7,1,3,5,6,2]=>[2,6,5,3,1,7,8,4]
[3,8,7,1,2,4,6,5]=>[5,6,4,2,1,7,8,3]
[4,8,7,1,2,3,6,5]=>[5,6,3,2,1,7,8,4]
[5,8,7,1,2,4,6,3]=>[3,6,4,2,1,7,8,5]
[5,8,7,1,3,4,6,2]=>[2,6,4,3,1,7,8,5]
[7,1,8,6,2,3,5,4]=>[4,5,3,2,6,8,1,7]
[5,8,6,4,1,2,3,7]=>[7,3,2,1,4,6,8,5]
[7,8,4,1,2,5,3,6]=>[6,3,5,2,1,4,8,7]
[7,8,1,2,6,5,3,4]=>[4,3,5,6,2,1,8,7]
[1,4,8,2,7,5,3,6]=>[6,3,5,7,2,8,4,1]
[6,1,3,4,7,2,5,8]=>[8,5,2,7,4,3,1,6]
[7,8,2,1,6,3,5,4]=>[4,5,3,6,1,2,8,7]
[6,1,2,7,5,4,3,8]=>[8,3,4,5,7,2,1,6]
[1,2,8,7,5,4,3,6]=>[6,3,4,5,7,8,2,1]
[5,1,7,3,6,4,8,2]=>[2,8,4,6,3,7,1,5]
[6,2,1,5,7,4,3,8]=>[8,3,4,7,5,1,2,6]
[6,2,3,7,4,1,5,8]=>[8,5,1,4,7,3,2,6]
[3,4,8,7,5,6,1,2]=>[2,1,6,5,7,8,4,3]
[2,3,8,7,4,1,5,6]=>[6,5,1,4,7,8,3,2]
[2,7,3,8,6,4,1,5]=>[5,1,4,6,8,3,7,2]
[1,8,3,7,6,4,5,2]=>[2,5,4,6,7,3,8,1]
[5,2,7,1,4,6,8,3]=>[3,8,6,4,1,7,2,5]
[4,6,7,5,2,1,8,3]=>[3,8,1,2,5,7,6,4]
[6,3,1,4,5,7,8,2]=>[2,8,7,5,4,1,3,6]
[5,3,1,4,6,2,7,8]=>[8,7,2,6,4,1,3,5]
[5,1,2,4,7,6,8,3]=>[3,8,6,7,4,2,1,5]
[5,7,4,1,2,6,3,8]=>[8,3,6,2,1,4,7,5]
[4,8,1,2,6,7,3,5]=>[5,3,7,6,2,1,8,4]
[4,1,7,8,2,6,3,5]=>[5,3,6,2,8,7,1,4]
[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]
[3,1,2,4,6,8,7,5]=>[5,7,8,6,4,2,1,3]
[3,1,8,4,5,7,6,2]=>[2,6,7,5,4,8,1,3]
[3,2,8,5,4,7,1,6]=>[6,1,7,4,5,8,2,3]
[4,2,8,1,5,3,7,6]=>[6,7,3,5,1,8,2,4]
[4,3,8,5,7,6,1,2]=>[2,1,6,7,5,8,3,4]
[4,8,2,1,6,3,7,5]=>[5,7,3,6,1,2,8,4]
[3,8,6,5,2,7,1,4]=>[4,1,7,2,5,6,8,3]
[3,8,5,6,1,7,4,2]=>[2,4,7,1,6,5,8,3]
[3,5,7,8,1,2,6,4]=>[4,6,2,1,8,7,5,3]
[3,7,8,5,2,1,6,4]=>[4,6,1,2,5,8,7,3]
[3,7,2,8,4,1,6,5]=>[5,6,1,4,8,2,7,3]
[2,8,1,7,4,6,5,3]=>[3,5,6,4,7,1,8,2]
[2,8,7,5,1,6,4,3]=>[3,4,6,1,5,7,8,2]
[2,8,6,7,5,1,4,3]=>[3,4,1,5,7,6,8,2]
[5,1,3,4,6,7,2,8]=>[8,2,7,6,4,3,1,5]
[1,3,4,8,7,5,2,6]=>[6,2,5,7,8,4,3,1]
[8,2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2,8]
[8,6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6,8]
[3,6,1,4,2,8,7,5]=>[5,7,8,2,4,1,6,3]
[1,6,8,4,3,7,2,5]=>[5,2,7,3,4,8,6,1]
[3,1,4,7,8,5,2,6]=>[6,2,5,8,7,4,1,3]
[6,1,7,4,3,8,2,5]=>[5,2,8,3,4,7,1,6]
[1,8,7,4,3,6,2,5]=>[5,2,6,3,4,7,8,1]
[7,4,1,3,8,2,6,5]=>[5,6,2,8,3,1,4,7]
[4,8,2,3,1,5,7,6]=>[6,7,5,1,3,2,8,4]
[4,8,6,2,1,3,7,5]=>[5,7,3,1,2,6,8,4]
[2,7,4,1,8,3,5,6]=>[6,5,3,8,1,4,7,2]
[1,7,8,4,2,3,6,5]=>[5,6,3,2,4,8,7,1]
[4,7,1,3,8,2,6,5]=>[5,6,2,8,3,1,7,4]
[8,7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7,8]
[1,7,4,3,6,2,8,5]=>[5,8,2,6,3,4,7,1]
[3,8,6,4,5,2,1,7]=>[7,1,2,5,4,6,8,3]
[3,8,4,6,5,2,1,7]=>[7,1,2,5,6,4,8,3]
[2,4,3,7,5,8,1,6]=>[6,1,8,5,7,3,4,2]
[1,4,7,3,6,2,8,5]=>[5,8,2,6,3,7,4,1]
[1,8,3,4,2,6,7,5]=>[5,7,6,2,4,3,8,1]
[6,4,1,3,7,2,8,5]=>[5,8,2,7,3,1,4,6]
[8,1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1,8]
[4,2,3,8,5,7,1,6]=>[6,1,7,5,8,3,2,4]
[2,8,5,7,3,4,1,6]=>[6,1,4,3,7,5,8,2]
[5,8,2,6,4,3,1,7]=>[7,1,3,4,6,2,8,5]
[7,2,5,8,4,3,1,6]=>[6,1,3,4,8,5,2,7]
[4,2,3,5,8,7,1,6]=>[6,1,7,8,5,3,2,4]
[8,2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2,8]
[6,1,8,3,4,2,7,5]=>[5,7,2,4,3,8,1,6]
[1,8,6,4,2,3,7,5]=>[5,7,3,2,4,6,8,1]
[3,8,4,5,6,2,1,7]=>[7,1,2,6,5,4,8,3]
[2,4,3,5,7,8,1,6]=>[6,1,8,7,5,3,4,2]
[3,8,6,5,4,2,1,7]=>[7,1,2,4,5,6,8,3]
[6,3,1,4,2,8,7,5]=>[5,7,8,2,4,1,3,6]
[7,3,8,1,2,6,4,5]=>[5,4,6,2,1,8,3,7]
[7,1,4,5,3,2,6,8]=>[8,6,2,3,5,4,1,7]
[1,8,4,2,6,5,3,7]=>[7,3,5,6,2,4,8,1]
[5,1,4,8,6,3,2,7]=>[7,2,3,6,8,4,1,5]
[5,3,1,8,4,7,2,6]=>[6,2,7,4,8,1,3,5]
[4,3,8,1,5,7,2,6]=>[6,2,7,5,1,8,3,4]
[6,3,1,2,5,7,4,8]=>[8,4,7,5,2,1,3,6]
[7,1,4,2,6,5,3,8]=>[8,3,5,6,2,4,1,7]
[3,8,4,1,6,5,2,7]=>[7,2,5,6,1,4,8,3]
[7,5,3,6,4,8,2,1]=>[1,2,8,4,6,3,5,7]
[7,3,6,4,5,8,2,1]=>[1,2,8,5,4,6,3,7]
[8,7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7,8]
[7,1,5,4,8,6,3,2]=>[2,3,6,8,4,5,1,7]
[2,7,5,4,8,6,3,1]=>[1,3,6,8,4,5,7,2]
[2,1,8,7,5,3,6,4]=>[4,6,3,5,7,8,1,2]
[5,8,3,7,4,1,6,2]=>[2,6,1,4,7,3,8,5]
[8,1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1,8]
[5,6,3,1,8,4,7,2]=>[2,7,4,8,1,3,6,5]
[5,7,1,4,8,6,3,2]=>[2,3,6,8,4,1,7,5]
[3,5,7,4,8,6,2,1]=>[1,2,6,8,4,7,5,3]
[2,6,7,4,5,8,3,1]=>[1,3,8,5,4,7,6,2]
[6,1,7,4,5,8,3,2]=>[2,3,8,5,4,7,1,6]
[5,3,7,4,8,6,2,1]=>[1,2,6,8,4,7,3,5]
[8,5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5,8]
[5,4,3,6,8,2,7,1]=>[1,7,2,8,6,3,4,5]
[6,5,3,7,4,8,2,1]=>[1,2,8,4,7,3,5,6]
[7,5,8,4,1,6,3,2]=>[2,3,6,1,4,8,5,7]
[2,7,8,4,5,1,6,3]=>[3,6,1,5,4,8,7,2]
[5,7,3,8,4,1,6,2]=>[2,6,1,4,8,3,7,5]
[5,6,3,8,1,4,7,2]=>[2,7,4,1,8,3,6,5]
[8,4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4,8]
[3,7,8,4,1,6,5,2]=>[2,5,6,1,4,8,7,3]
[6,8,3,1,2,5,7,4]=>[4,7,5,2,1,3,8,6]
[8,5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5,8]
[8,7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7,8]
[7,6,3,1,5,2,8,4]=>[4,8,2,5,1,3,6,7]
[7,5,1,8,2,6,3,4]=>[4,3,6,2,8,1,5,7]
[8,7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7,8]
[3,6,2,1,5,4,8,7]=>[7,8,4,5,1,2,6,3]
[5,4,2,6,1,3,8,7]=>[7,8,3,1,6,2,4,5]
[3,2,6,5,1,4,8,7]=>[7,8,4,1,5,6,2,3]
[2,5,8,1,7,4,3,6]=>[6,3,4,7,1,8,5,2]
[6,8,2,7,4,3,1,5]=>[5,1,3,4,7,2,8,6]
[6,8,2,3,7,5,1,4]=>[4,1,5,7,3,2,8,6]
[7,6,2,5,4,8,1,3]=>[3,1,8,4,5,2,6,7]
[2,6,5,1,8,4,3,7]=>[7,3,4,8,1,5,6,2]
[4,2,7,3,1,8,5,6]=>[6,5,8,1,3,7,2,4]
[4,2,3,7,1,5,8,6]=>[6,8,5,1,7,3,2,4]
[5,2,7,3,8,6,1,4]=>[4,1,6,8,3,7,2,5]
[2,1,5,8,4,3,7,6]=>[6,7,3,4,8,5,1,2]
[5,8,4,2,6,7,1,3]=>[3,1,7,6,2,4,8,5]
[3,2,4,8,1,5,7,6]=>[6,7,5,1,8,4,2,3]
[2,4,8,3,1,7,5,6]=>[6,5,7,1,3,8,4,2]
[4,8,3,2,1,7,6,5]=>[5,6,7,1,2,3,8,4]
[4,1,3,7,2,6,8,5]=>[5,8,6,2,7,3,1,4]
[3,4,8,2,1,6,5,7]=>[7,5,6,1,2,8,4,3]
[6,8,3,7,2,1,5,4]=>[4,5,1,2,7,3,8,6]
[3,5,8,1,7,2,6,4]=>[4,6,2,7,1,8,5,3]
[5,1,7,4,6,8,3,2]=>[2,3,8,6,4,7,1,5]
[7,6,4,8,1,5,3,2]=>[2,3,5,1,8,4,6,7]
[5,3,7,1,8,2,6,4]=>[4,6,2,8,1,7,3,5]
[2,7,6,3,8,1,4,5]=>[5,4,1,8,3,6,7,2]
[2,1,7,6,4,8,3,5]=>[5,3,8,4,6,7,1,2]
[2,1,5,4,8,7,3,6]=>[6,3,7,8,4,5,1,2]
[5,4,8,7,2,6,1,3]=>[3,1,6,2,7,8,4,5]
[2,4,3,8,7,1,5,6]=>[6,5,1,7,8,3,4,2]
[3,4,1,8,6,2,7,5]=>[5,7,2,6,8,1,4,3]
[3,8,5,4,2,1,7,6]=>[6,7,1,2,4,5,8,3]
[4,8,6,5,2,7,1,3]=>[3,1,7,2,5,6,8,4]
[3,2,8,7,5,4,1,6]=>[6,1,4,5,7,8,2,3]
[2,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,2]
[5,4,2,6,3,1,8,7]=>[7,8,1,3,6,2,4,5]
[6,5,2,1,3,4,8,7]=>[7,8,4,3,1,2,5,6]
[8,5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5,8]
[7,3,6,5,2,8,4,1]=>[1,4,8,2,5,6,3,7]
[7,6,2,3,4,8,5,1]=>[1,5,8,4,3,2,6,7]
[8,7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7,8]
[7,1,5,3,8,4,6,2]=>[2,6,4,8,3,5,1,7]
[6,7,2,3,5,8,4,1]=>[1,4,8,5,3,2,7,6]
[3,7,6,4,2,8,5,1]=>[1,5,8,2,4,6,7,3]
[2,1,7,6,4,8,5,3]=>[3,5,8,4,6,7,1,2]
[2,1,8,7,4,3,5,6]=>[6,5,3,4,7,8,1,2]
[5,8,3,7,2,1,4,6]=>[6,4,1,2,7,3,8,5]
[3,8,7,4,2,1,5,6]=>[6,5,1,2,4,7,8,3]
[7,8,2,3,5,1,4,6]=>[6,4,1,5,3,2,8,7]
[2,8,6,3,1,4,7,5]=>[5,7,4,1,3,6,8,2]
[8,1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1,8]
[5,7,1,4,8,3,6,2]=>[2,6,3,8,4,1,7,5]
[6,1,7,5,4,8,3,2]=>[2,3,8,4,5,7,1,6]
[6,3,7,5,8,4,2,1]=>[1,2,4,8,5,7,3,6]
[7,6,1,5,8,3,4,2]=>[2,4,3,8,5,1,6,7]
[8,6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6,8]
[8,5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5,8]
[5,4,2,6,8,3,7,1]=>[1,7,3,8,6,2,4,5]
[6,5,2,8,1,4,3,7]=>[7,3,4,1,8,2,5,6]
[7,4,2,8,1,3,6,5]=>[5,6,3,1,8,2,4,7]
[2,7,8,4,5,1,3,6]=>[6,3,1,5,4,8,7,2]
[5,7,3,8,4,1,2,6]=>[6,2,1,4,8,3,7,5]
[2,4,8,1,5,6,3,7]=>[7,3,6,5,1,8,4,2]
[3,4,8,1,5,2,7,6]=>[6,7,2,5,1,8,4,3]
[3,6,8,4,1,2,7,5]=>[5,7,2,1,4,8,6,3]
[4,8,1,2,5,3,6,7]=>[7,6,3,5,2,1,8,4]
[8,1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1,8]
[5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]
[4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]
[3,8,7,6,5,2,4,1]=>[1,4,2,5,6,7,8,3]
[5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]
[6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]
[3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]
[4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]
[3,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,3]
[7,5,8,4,6,3,1,2]=>[2,1,3,6,4,8,5,7]
[7,6,8,2,5,1,4,3]=>[3,4,1,5,2,8,6,7]
[3,5,2,4,7,6,1,8]=>[8,1,6,7,4,2,5,3]
[3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]
[3,5,4,7,6,1,2,8]=>[8,2,1,6,7,4,5,3]
[3,5,4,7,6,1,8,2]=>[2,8,1,6,7,4,5,3]
[3,5,7,4,6,1,8,2]=>[2,8,1,6,4,7,5,3]
[3,5,7,4,6,1,2,8]=>[8,2,1,6,4,7,5,3]
[3,5,7,4,6,2,1,8]=>[8,1,2,6,4,7,5,3]
[3,2,5,7,4,6,1,8]=>[8,1,6,4,7,5,2,3]
[3,5,2,7,6,4,1,8]=>[8,1,4,6,7,2,5,3]
[3,5,7,2,6,4,1,8]=>[8,1,4,6,2,7,5,3]
[5,3,7,6,2,4,1,8]=>[8,1,4,2,6,7,3,5]
[5,3,7,6,1,2,8,4]=>[4,8,2,1,6,7,3,5]
[5,3,7,6,1,4,2,8]=>[8,2,4,1,6,7,3,5]
[5,3,7,6,4,1,2,8]=>[8,2,1,4,6,7,3,5]
[3,5,7,2,6,1,4,8]=>[8,4,1,6,2,7,5,3]
[3,5,2,7,6,1,4,8]=>[8,4,1,6,7,2,5,3]
[5,3,7,6,4,1,8,2]=>[2,8,1,4,6,7,3,5]
[3,7,5,4,1,8,2,6]=>[6,2,8,1,4,5,7,3]
[3,7,5,4,1,8,6,2]=>[2,6,8,1,4,5,7,3]
[3,7,5,1,4,8,6,2]=>[2,6,8,4,1,5,7,3]
[3,7,5,1,4,8,2,6]=>[6,2,8,4,1,5,7,3]
[3,5,7,1,2,6,8,4]=>[4,8,6,2,1,7,5,3]
[3,5,7,2,1,6,8,4]=>[4,8,6,1,2,7,5,3]
[3,5,2,7,1,6,4,8]=>[8,4,6,1,7,2,5,3]
[3,5,7,2,1,6,4,8]=>[8,4,6,1,2,7,5,3]
[5,3,7,1,6,2,4,8]=>[8,4,2,6,1,7,3,5]
[3,5,7,1,4,6,8,2]=>[2,8,6,4,1,7,5,3]
[3,5,7,1,4,6,2,8]=>[8,2,6,4,1,7,5,3]
[3,5,7,2,1,4,6,8]=>[8,6,4,1,2,7,5,3]
[3,5,2,7,1,4,6,8]=>[8,6,4,1,7,2,5,3]
[3,2,5,7,4,1,6,8]=>[8,6,1,4,7,5,2,3]
[3,5,2,7,4,1,6,8]=>[8,6,1,4,7,2,5,3]
[3,5,7,4,2,1,6,8]=>[8,6,1,2,4,7,5,3]
[3,5,7,4,1,2,6,8]=>[8,6,2,1,4,7,5,3]
[3,5,4,7,1,6,8,2]=>[2,8,6,1,7,4,5,3]
[3,5,4,7,1,2,6,8]=>[8,6,2,1,7,4,5,3]
[3,5,4,7,2,1,6,8]=>[8,6,1,2,7,4,5,3]
[3,5,4,2,7,1,6,8]=>[8,6,1,7,2,4,5,3]
[3,2,5,4,7,1,6,8]=>[8,6,1,7,4,5,2,3]
[3,5,4,7,2,1,8,6]=>[6,8,1,2,7,4,5,3]
[3,5,4,7,1,2,8,6]=>[6,8,2,1,7,4,5,3]
[5,7,6,3,1,8,4,2]=>[2,4,8,1,3,6,7,5]
[5,7,6,3,1,8,2,4]=>[4,2,8,1,3,6,7,5]
[3,5,7,4,2,1,8,6]=>[6,8,1,2,4,7,5,3]
[3,2,5,7,4,1,8,6]=>[6,8,1,4,7,5,2,3]
[3,2,5,7,1,4,8,6]=>[6,8,4,1,7,5,2,3]
[3,5,2,7,1,4,8,6]=>[6,8,4,1,7,2,5,3]
[3,5,7,2,1,4,8,6]=>[6,8,4,1,2,7,5,3]
[3,5,7,1,4,2,8,6]=>[6,8,2,4,1,7,5,3]
[3,7,5,2,1,8,6,4]=>[4,6,8,1,2,5,7,3]
[3,7,2,5,1,8,6,4]=>[4,6,8,1,5,2,7,3]
[3,2,7,5,1,8,6,4]=>[4,6,8,1,5,7,2,3]
[3,2,7,5,1,8,4,6]=>[6,4,8,1,5,7,2,3]
[3,7,2,5,1,8,4,6]=>[6,4,8,1,5,2,7,3]
[3,7,5,2,1,8,4,6]=>[6,4,8,1,2,5,7,3]
[6,1,2,5,7,4,8,3]=>[3,8,4,7,5,2,1,6]
[6,3,2,7,4,1,8,5]=>[5,8,1,4,7,2,3,6]
[2,1,7,5,8,4,6,3]=>[3,6,4,8,5,7,1,2]
[2,7,3,6,8,4,1,5]=>[5,1,4,8,6,3,7,2]
[2,1,8,3,4,7,5,6]=>[6,5,7,4,3,8,1,2]
[5,1,7,2,4,8,3,6]=>[6,3,8,4,2,7,1,5]
[3,4,2,6,7,1,8,5]=>[5,8,1,7,6,2,4,3]
[3,5,8,7,2,1,6,4]=>[4,6,1,2,7,8,5,3]
[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]
[5,8,7,2,4,1,6,3]=>[3,6,1,4,2,7,8,5]
[3,8,6,4,1,7,5,2]=>[2,5,7,1,4,6,8,3]
[4,3,5,6,8,1,7,2]=>[2,7,1,8,6,5,3,4]
[3,7,6,4,1,8,5,2]=>[2,5,8,1,4,6,7,3]
[3,7,4,1,8,6,5,2]=>[2,5,6,8,1,4,7,3]
[3,8,4,1,7,6,5,2]=>[2,5,6,7,1,4,8,3]
[3,2,7,6,1,5,4,8]=>[8,4,5,1,6,7,2,3]
[3,2,8,7,6,1,5,4]=>[4,5,1,6,7,8,2,3]
[5,7,8,2,4,1,6,3]=>[3,6,1,4,2,8,7,5]
[4,2,5,8,1,6,7,3]=>[3,7,6,1,8,5,2,4]
[4,2,5,8,1,7,3,6]=>[6,3,7,1,8,5,2,4]
[5,8,2,4,1,6,3,7]=>[7,3,6,1,4,2,8,5]
[8,4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4,8]
[3,2,6,8,1,5,4,7]=>[7,4,5,1,8,6,2,3]
[8,3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3,8]
[3,2,8,6,7,1,5,4]=>[4,5,1,7,6,8,2,3]
[3,2,6,8,7,1,5,4]=>[4,5,1,7,8,6,2,3]
[3,2,6,7,1,5,4,8]=>[8,4,5,1,7,6,2,3]
[8,7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7,8]
[7,2,8,1,5,3,6,4]=>[4,6,3,5,1,8,2,7]
[8,4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4,8]
[7,4,2,8,5,1,3,6]=>[6,3,1,5,8,2,4,7]
[7,2,4,1,8,3,6,5]=>[5,6,3,8,1,4,2,7]
[3,2,8,5,7,1,4,6]=>[6,4,1,7,5,8,2,3]
[2,6,5,7,1,8,3,4]=>[4,3,8,1,7,5,6,2]
[2,5,1,8,7,4,3,6]=>[6,3,4,7,8,1,5,2]
[8,1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1,8]
[8,3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3,8]
[8,6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6,8]
[5,4,7,6,8,2,3,1]=>[1,3,2,8,6,7,4,5]
[4,1,8,2,3,7,6,5]=>[5,6,7,3,2,8,1,4]
[2,1,8,5,3,4,7,6]=>[6,7,4,3,5,8,1,2]
[5,2,4,6,8,7,3,1]=>[1,3,7,8,6,4,2,5]
[1,6,8,3,4,5,7,2]=>[2,7,5,4,3,8,6,1]
[5,7,4,8,6,1,3,2]=>[2,3,1,6,8,4,7,5]
[5,4,2,6,7,8,1,3]=>[3,1,8,7,6,2,4,5]
[6,4,2,7,3,5,8,1]=>[1,8,5,3,7,2,4,6]
[7,4,1,8,3,5,6,2]=>[2,6,5,3,8,1,4,7]
[6,5,4,8,7,3,1,2]=>[2,1,3,7,8,4,5,6]
[8,7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7,8]
[8,7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7,8]
[6,8,2,3,1,7,5,4]=>[4,5,7,1,3,2,8,6]
[7,4,3,2,6,8,5,1]=>[1,5,8,6,2,3,4,7]
[2,7,4,3,8,5,6,1]=>[1,6,5,8,3,4,7,2]
[8,3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3,8]
[5,7,8,2,4,3,1,6]=>[6,1,3,4,2,8,7,5]
[8,4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4,8]
[8,3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3,8]
[3,2,5,7,4,8,1,6]=>[6,1,8,4,7,5,2,3]
[8,2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2,8]
[7,1,6,3,5,8,2,4]=>[4,2,8,5,3,6,1,7]
[2,8,5,6,7,1,4,3]=>[3,4,1,7,6,5,8,2]
[1,5,2,7,8,6,4,3]=>[3,4,6,8,7,2,5,1]
[2,6,8,5,1,4,7,3]=>[3,7,4,1,5,8,6,2]
[1,4,2,8,6,5,7,3]=>[3,7,5,6,8,2,4,1]
[3,5,1,6,8,7,2,4]=>[4,2,7,8,6,1,5,3]
[5,7,6,2,1,3,8,4]=>[4,8,3,1,2,6,7,5]
[2,5,8,7,4,1,6,3]=>[3,6,1,4,7,8,5,2]
[4,1,7,5,2,6,8,3]=>[3,8,6,2,5,7,1,4]
[7,6,2,4,5,1,8,3]=>[3,8,1,5,4,2,6,7]
[7,3,4,2,5,8,6,1]=>[1,6,8,5,2,4,3,7]
[8,7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7,8]
[8,1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1,8]
[5,2,4,8,6,7,1,3]=>[3,1,7,6,8,4,2,5]
[8,5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5,8]
[4,2,1,5,6,7,8,3]=>[3,8,7,6,5,1,2,4]
[3,4,6,5,1,7,8,2]=>[2,8,7,1,5,6,4,3]
[7,3,5,2,4,6,1,8]=>[8,1,6,4,2,5,3,7]
[5,3,7,2,4,6,1,8]=>[8,1,6,4,2,7,3,5]
[3,7,5,2,4,6,1,8]=>[8,1,6,4,2,5,7,3]
[5,7,3,2,4,6,1,8]=>[8,1,6,4,2,3,7,5]
[1,5,3,2,4,7,6,8]=>[8,6,7,4,2,3,5,1]
[1,5,3,2,7,4,6,8]=>[8,6,4,7,2,3,5,1]
[5,7,3,2,1,4,6,8]=>[8,6,4,1,2,3,7,5]
[5,7,3,2,4,1,6,8]=>[8,6,1,4,2,3,7,5]
[3,7,2,5,4,1,6,8]=>[8,6,1,4,5,2,7,3]
[5,1,3,2,4,7,6,8]=>[8,6,7,4,2,3,1,5]
[5,1,3,2,7,4,6,8]=>[8,6,4,7,2,3,1,5]
[7,1,3,2,5,4,6,8]=>[8,6,4,5,2,3,1,7]
[1,7,3,2,5,4,6,8]=>[8,6,4,5,2,3,7,1]
[7,1,3,5,2,4,6,8]=>[8,6,4,2,5,3,1,7]
[5,1,3,7,2,4,6,8]=>[8,6,4,2,7,3,1,5]
[3,2,7,5,1,4,6,8]=>[8,6,4,1,5,7,2,3]
[3,7,5,1,2,4,6,8]=>[8,6,4,2,1,5,7,3]
[5,7,3,1,2,4,6,8]=>[8,6,4,2,1,3,7,5]
[1,5,3,7,2,4,6,8]=>[8,6,4,2,7,3,5,1]
[5,3,2,7,4,1,6,8]=>[8,6,1,4,7,2,3,5]
[5,3,2,4,7,1,6,8]=>[8,6,1,7,4,2,3,5]
[5,3,2,1,4,7,6,8]=>[8,6,7,4,1,2,3,5]
[5,3,2,1,7,4,6,8]=>[8,6,4,7,1,2,3,5]
[1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]
[1,3,7,2,5,4,6,8]=>[8,6,4,5,2,7,3,1]
[7,3,1,2,5,4,6,8]=>[8,6,4,5,2,1,3,7]
[5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]
[5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]
[3,2,5,1,4,7,6,8]=>[8,6,7,4,1,5,2,3]
[7,3,1,5,2,4,6,8]=>[8,6,4,2,5,1,3,7]
[1,3,7,5,2,4,6,8]=>[8,6,4,2,5,7,3,1]
[7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]
[5,7,1,3,2,4,6,8]=>[8,6,4,2,3,1,7,5]
[3,7,1,5,2,4,6,8]=>[8,6,4,2,5,1,7,3]
[3,7,1,2,5,4,6,8]=>[8,6,4,5,2,1,7,3]
[3,7,2,1,5,4,6,8]=>[8,6,4,5,1,2,7,3]
[3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]
[3,1,2,7,5,4,6,8]=>[8,6,4,5,7,2,1,3]
[3,1,7,2,5,4,6,8]=>[8,6,4,5,2,7,1,3]
[3,1,7,5,2,4,6,8]=>[8,6,4,2,5,7,1,3]
[7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]
[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]
[1,8,7,4,2,6,5,3]=>[3,5,6,2,4,7,8,1]
[2,8,5,1,7,6,4,3]=>[3,4,6,7,1,5,8,2]
[6,8,5,1,2,7,4,3]=>[3,4,7,2,1,5,8,6]
[2,8,1,4,7,6,5,3]=>[3,5,6,7,4,1,8,2]
[1,8,7,4,3,2,6,5]=>[5,6,2,3,4,7,8,1]
[1,8,5,4,2,7,6,3]=>[3,6,7,2,4,5,8,1]
[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]
[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]
[8,5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5,8]
[8,5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5,8]
[8,7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7,8]
[1,7,2,3,6,8,5,4]=>[4,5,8,6,3,2,7,1]
[3,5,6,4,8,2,7,1]=>[1,7,2,8,4,6,5,3]
[3,5,1,4,8,2,7,6]=>[6,7,2,8,4,1,5,3]
[1,7,5,4,8,2,6,3]=>[3,6,2,8,4,5,7,1]
[3,7,5,1,6,4,8,2]=>[2,8,4,6,1,5,7,3]
[2,7,5,4,8,1,3,6]=>[6,3,1,8,4,5,7,2]
[2,7,5,4,8,6,1,3]=>[3,1,6,8,4,5,7,2]
[1,7,5,4,8,6,3,2]=>[2,3,6,8,4,5,7,1]
[2,5,1,4,8,7,3,6]=>[6,3,7,8,4,1,5,2]
[3,6,4,2,8,7,1,5]=>[5,1,7,8,2,4,6,3]
[3,5,2,4,8,1,6,7]=>[7,6,1,8,4,2,5,3]
[3,5,6,4,8,1,2,7]=>[7,2,1,8,4,6,5,3]
[1,5,6,4,8,7,2,3]=>[3,2,7,8,4,6,5,1]
[3,6,4,1,8,7,2,5]=>[5,2,7,8,1,4,6,3]
[3,6,4,5,8,7,2,1]=>[1,2,7,8,5,4,6,3]
[1,6,4,3,8,5,2,7]=>[7,2,5,8,3,4,6,1]
[7,1,3,4,5,8,2,6]=>[6,2,8,5,4,3,1,7]
[7,6,1,4,5,3,8,2]=>[2,8,3,5,4,1,6,7]
[7,6,1,3,5,4,8,2]=>[2,8,4,5,3,1,6,7]
[7,1,3,2,5,8,4,6]=>[6,4,8,5,2,3,1,7]
[1,6,4,2,8,5,3,7]=>[7,3,5,8,2,4,6,1]
[7,6,5,8,2,4,3,1]=>[1,3,4,2,8,5,6,7]
[7,6,5,8,3,1,4,2]=>[2,4,1,3,8,5,6,7]
[2,6,4,3,8,5,7,1]=>[1,7,5,8,3,4,6,2]
[7,2,3,1,5,8,6,4]=>[4,6,8,5,1,3,2,7]
[7,1,5,6,3,8,4,2]=>[2,4,8,3,6,5,1,7]
[7,3,6,5,1,4,8,2]=>[2,8,4,1,5,6,3,7]
[7,2,6,5,3,8,1,4]=>[4,1,8,3,5,6,2,7]
[7,2,3,1,4,8,6,5]=>[5,6,8,4,1,3,2,7]
[7,2,3,5,4,8,6,1]=>[1,6,8,4,5,3,2,7]
[2,6,4,5,8,1,7,3]=>[3,7,1,8,5,4,6,2]
[1,5,6,4,8,3,7,2]=>[2,7,3,8,4,6,5,1]
[2,5,6,4,8,3,1,7]=>[7,1,3,8,4,6,5,2]
[3,5,6,1,4,7,8,2]=>[2,8,7,4,1,6,5,3]
[7,6,1,3,4,5,8,2]=>[2,8,5,4,3,1,6,7]
[7,1,3,2,4,8,5,6]=>[6,5,8,4,2,3,1,7]
[7,6,1,5,3,4,8,2]=>[2,8,4,3,5,1,6,7]
[7,6,1,5,4,3,8,2]=>[2,8,3,4,5,1,6,7]
[1,6,4,5,8,3,2,7]=>[7,2,3,8,5,4,6,1]
[7,6,5,8,1,3,2,4]=>[4,2,3,1,8,5,6,7]
[3,4,6,8,7,2,1,5]=>[5,1,2,7,8,6,4,3]
[3,5,6,8,2,1,7,4]=>[4,7,1,2,8,6,5,3]
[4,2,1,5,3,7,8,6]=>[6,8,7,3,5,1,2,4]
[4,2,5,6,3,1,8,7]=>[7,8,1,3,6,5,2,4]
[3,5,6,8,1,7,2,4]=>[4,2,7,1,8,6,5,3]
[4,1,5,6,3,2,8,7]=>[7,8,2,3,6,5,1,4]
[4,5,3,1,7,2,8,6]=>[6,8,2,7,1,3,5,4]
[4,1,3,5,2,7,8,6]=>[6,8,7,2,5,3,1,4]
[2,5,4,7,3,8,6,1]=>[1,6,8,3,7,4,5,2]
[3,5,7,1,8,4,2,6]=>[6,2,4,8,1,7,5,3]
[4,1,5,3,2,7,8,6]=>[6,8,7,2,3,5,1,4]
[4,5,3,7,1,2,8,6]=>[6,8,2,1,7,3,5,4]
[4,3,6,1,2,7,5,8]=>[8,5,7,2,1,6,3,4]
[5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]
[3,6,1,7,4,5,2,8]=>[8,2,5,4,7,1,6,3]
[5,1,3,4,2,6,7,8]=>[8,7,6,2,4,3,1,5]
[5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]
[4,5,2,3,7,1,8,6]=>[6,8,1,7,3,2,5,4]
[4,2,6,1,3,7,5,8]=>[8,5,7,3,1,6,2,4]
[4,6,2,1,3,7,5,8]=>[8,5,7,3,1,2,6,4]
[3,6,2,1,7,4,8,5]=>[5,8,4,7,1,2,6,3]
[3,1,4,7,6,5,2,8]=>[8,2,5,6,7,4,1,3]
[3,6,2,7,1,5,8,4]=>[4,8,5,1,7,2,6,3]
[4,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,4]
[3,5,7,1,8,2,6,4]=>[4,6,2,8,1,7,5,3]
[5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]
[3,6,1,7,2,5,8,4]=>[4,8,5,2,7,1,6,3]
[2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]
[3,6,1,7,5,4,2,8]=>[8,2,4,5,7,1,6,3]
[5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]
[5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]
[6,4,2,5,3,8,1,7]=>[7,1,8,3,5,2,4,6]
[4,6,2,3,5,1,8,7]=>[7,8,1,5,3,2,6,4]
[6,2,4,5,1,8,3,7]=>[7,3,8,1,5,4,2,6]
[8,2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2,8]
[8,2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2,8]
[4,6,2,3,5,8,1,7]=>[7,1,8,5,3,2,6,4]
[2,6,4,1,5,8,3,7]=>[7,3,8,5,1,4,6,2]
[2,8,1,6,7,4,5,3]=>[3,5,4,7,6,1,8,2]
[6,8,4,5,7,2,3,1]=>[1,3,2,7,5,4,8,6]
[2,8,6,1,4,7,5,3]=>[3,5,7,4,1,6,8,2]
[2,8,1,6,4,7,5,3]=>[3,5,7,4,6,1,8,2]
[2,6,1,4,8,5,3,7]=>[7,3,5,8,4,1,6,2]
[6,4,5,2,8,3,1,7]=>[7,1,3,8,2,5,4,6]
[4,2,3,6,1,8,5,7]=>[7,5,8,1,6,3,2,4]
[4,2,3,1,6,8,5,7]=>[7,5,8,6,1,3,2,4]
[4,2,3,8,6,1,7,5]=>[5,7,1,6,8,3,2,4]
[6,4,5,8,2,3,7,1]=>[1,7,3,2,8,5,4,6]
[8,6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6,8]
[6,4,8,5,2,3,7,1]=>[1,7,3,2,5,8,4,6]
[4,2,8,3,1,6,7,5]=>[5,7,6,1,3,8,2,4]
[2,4,8,1,3,6,7,5]=>[5,7,6,3,1,8,4,2]
[2,4,1,8,3,6,7,5]=>[5,7,6,3,8,1,4,2]
[2,1,4,8,6,3,7,5]=>[5,7,3,6,8,4,1,2]
[6,4,8,2,5,3,7,1]=>[1,7,3,5,2,8,4,6]
[8,6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6,8]
[4,6,8,2,3,5,7,1]=>[1,7,5,3,2,8,6,4]
[2,6,8,4,1,5,7,3]=>[3,7,5,1,4,8,6,2]
[2,6,8,1,4,5,7,3]=>[3,7,5,4,1,8,6,2]
[2,1,6,8,4,5,7,3]=>[3,7,5,4,8,6,1,2]
[2,8,1,4,6,7,3,5]=>[5,3,7,6,4,1,8,2]
[4,8,6,2,3,7,5,1]=>[1,5,7,3,2,6,8,4]
[8,4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4,8]
[7,6,4,5,1,3,8,2]=>[2,8,3,1,5,4,6,7]
[1,6,7,5,3,4,8,2]=>[2,8,4,3,5,7,6,1]
[7,6,2,3,8,4,1,5]=>[5,1,4,8,3,2,6,7]
[1,6,7,5,8,2,3,4]=>[4,3,2,8,5,7,6,1]
[6,2,5,8,3,4,7,1]=>[1,7,4,3,8,5,2,6]
[6,2,3,8,7,4,1,5]=>[5,1,4,7,8,3,2,6]
[2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]
[2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]
[5,2,8,3,1,4,6,7]=>[7,6,4,1,3,8,2,5]
[5,8,1,3,6,4,7,2]=>[2,7,4,6,3,1,8,5]
[5,8,1,4,3,6,2,7]=>[7,2,6,3,4,1,8,5]
[5,8,4,1,3,7,6,2]=>[2,6,7,3,1,4,8,5]
[6,4,5,3,8,1,7,2]=>[2,7,1,8,3,5,4,6]
[4,5,1,3,6,2,8,7]=>[7,8,2,6,3,1,5,4]
[4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]
[4,3,5,7,2,1,6,8]=>[8,6,1,2,7,5,3,4]
[3,4,7,6,8,1,2,5]=>[5,2,1,8,6,7,4,3]
[3,4,6,2,5,8,7,1]=>[1,7,8,5,2,6,4,3]
[3,5,2,4,6,1,8,7]=>[7,8,1,6,4,2,5,3]
[4,2,5,1,6,8,3,7]=>[7,3,8,6,1,5,2,4]
[1,8,2,3,6,5,7,4]=>[4,7,5,6,3,2,8,1]
[4,2,8,3,5,7,1,6]=>[6,1,7,5,3,8,2,4]
[4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]
[1,3,7,2,6,5,8,4]=>[4,8,5,6,2,7,3,1]
[1,3,6,4,2,5,8,7]=>[7,8,5,2,4,6,3,1]
[1,5,4,7,3,6,8,2]=>[2,8,6,3,7,4,5,1]
[5,2,3,8,4,1,7,6]=>[6,7,1,4,8,3,2,5]
[7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]
[7,2,8,3,4,1,5,6]=>[6,5,1,4,3,8,2,7]
[7,4,3,8,5,2,6,1]=>[1,6,2,5,8,3,4,7]
[4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]
[7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]
[7,2,8,5,1,3,4,6]=>[6,4,3,1,5,8,2,7]
[1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]
[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]
[1,4,3,7,8,5,2,6]=>[6,2,5,8,7,3,4,1]
[4,2,6,5,7,8,3,1]=>[1,3,8,7,5,6,2,4]
[4,2,6,7,5,8,1,3]=>[3,1,8,5,7,6,2,4]
[3,2,4,7,8,5,1,6]=>[6,1,5,8,7,4,2,3]
[3,2,6,7,8,1,4,5]=>[5,4,1,8,7,6,2,3]
[5,1,8,3,6,4,7,2]=>[2,7,4,6,3,8,1,5]
[3,6,8,5,7,2,1,4]=>[4,1,2,7,5,8,6,3]
[5,1,3,8,7,6,4,2]=>[2,4,6,7,8,3,1,5]
[3,8,5,6,1,7,2,4]=>[4,2,7,1,6,5,8,3]
[3,4,8,1,7,6,2,5]=>[5,2,6,7,1,8,4,3]
[4,7,6,8,5,1,3,2]=>[2,3,1,5,8,6,7,4]
[6,7,4,8,5,1,3,2]=>[2,3,1,5,8,4,7,6]
[5,3,6,8,7,1,4,2]=>[2,4,1,7,8,6,3,5]
[1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]
[5,2,8,3,7,1,6,4]=>[4,6,1,7,3,8,2,5]
[7,4,5,8,6,1,3,2]=>[2,3,1,6,8,5,4,7]
[4,3,6,8,7,1,5,2]=>[2,5,1,7,8,6,3,4]
[6,4,8,3,1,7,5,2]=>[2,5,7,1,3,8,4,6]
[3,6,5,8,7,1,4,2]=>[2,4,1,7,8,5,6,3]
[5,7,4,8,2,6,3,1]=>[1,3,6,2,8,4,7,5]
[5,6,4,8,2,7,3,1]=>[1,3,7,2,8,4,6,5]
[5,6,8,3,1,7,4,2]=>[2,4,7,1,3,8,6,5]
[4,6,3,8,2,7,5,1]=>[1,5,7,2,8,3,6,4]
[5,3,8,1,7,2,6,4]=>[4,6,2,7,1,8,3,5]
[6,5,8,1,3,7,4,2]=>[2,4,7,3,1,8,5,6]
[6,5,3,8,2,7,4,1]=>[1,4,7,2,8,3,5,6]
[6,4,8,1,3,7,5,2]=>[2,5,7,3,1,8,4,6]
[6,2,8,3,4,7,5,1]=>[1,5,7,4,3,8,2,6]
[7,6,3,1,4,2,5,8]=>[8,5,2,4,1,3,6,7]
[1,5,4,3,7,8,2,6]=>[6,2,8,7,3,4,5,1]
[7,8,4,2,5,3,1,6]=>[6,1,3,5,2,4,8,7]
[4,2,7,8,5,3,1,6]=>[6,1,3,5,8,7,2,4]
[4,2,5,3,1,7,8,6]=>[6,8,7,1,3,5,2,4]
[4,2,8,7,6,3,1,5]=>[5,1,3,6,7,8,2,4]
[4,2,7,6,3,1,5,8]=>[8,5,1,3,6,7,2,4]
[6,3,1,7,5,2,4,8]=>[8,4,2,5,7,1,3,6]
[6,3,1,8,7,5,2,4]=>[4,2,5,7,8,1,3,6]
[8,6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6,8]
[4,2,7,6,3,1,8,5]=>[5,8,1,3,6,7,2,4]
[7,6,3,1,8,4,2,5]=>[5,2,4,8,1,3,6,7]
[7,6,4,2,1,8,3,5]=>[5,3,8,1,2,4,6,7]
[1,8,2,7,6,4,3,5]=>[5,3,4,6,7,2,8,1]
[8,3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3,8]
[8,4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4,8]
[7,5,2,4,8,6,3,1]=>[1,3,6,8,4,2,5,7]
[8,7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7,8]
[7,5,2,4,6,3,1,8]=>[8,1,3,6,4,2,5,7]
[5,2,8,6,3,7,4,1]=>[1,4,7,3,6,8,2,5]
[8,4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4,8]
[8,3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3,8]
[1,8,2,7,5,3,6,4]=>[4,6,3,5,7,2,8,1]
[7,5,2,1,8,3,6,4]=>[4,6,3,8,1,2,5,7]
[7,5,2,6,3,1,8,4]=>[4,8,1,3,6,2,5,7]
[5,2,7,4,1,8,6,3]=>[3,6,8,1,4,7,2,5]
[5,2,8,7,4,1,6,3]=>[3,6,1,4,7,8,2,5]
[8,7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7,8]
[7,4,1,5,2,8,6,3]=>[3,6,8,2,5,1,4,7]
[7,6,3,1,4,2,8,5]=>[5,8,2,4,1,3,6,7]
[7,5,2,8,6,3,1,4]=>[4,1,3,6,8,2,5,7]
[8,7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7,8]
[7,5,2,1,3,6,4,8]=>[8,4,6,3,1,2,5,7]
[8,7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7,8]
[7,5,2,1,3,8,6,4]=>[4,6,8,3,1,2,5,7]
[1,3,7,6,5,8,2,4]=>[4,2,8,5,6,7,3,1]
[8,6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6,8]
[6,4,8,7,5,2,1,3]=>[3,1,2,5,7,8,4,6]
[6,4,7,5,2,1,3,8]=>[8,3,1,2,5,7,4,6]
[6,3,1,4,7,5,2,8]=>[8,2,5,7,4,1,3,6]
[6,3,1,4,8,7,5,2]=>[2,5,7,8,4,1,3,6]
[8,6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6,8]
[8,5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5,8]
[1,8,2,5,7,6,4,3]=>[3,4,6,7,5,2,8,1]
[1,8,2,6,4,7,5,3]=>[3,5,7,4,6,2,8,1]
[7,5,2,1,6,4,8,3]=>[3,8,4,6,1,2,5,7]
[6,3,8,7,4,1,5,2]=>[2,5,1,4,7,8,3,6]
[6,3,7,4,1,5,2,8]=>[8,2,5,1,4,7,3,6]
[7,4,1,6,3,5,2,8]=>[8,2,5,3,6,1,4,7]
[7,4,1,8,6,3,5,2]=>[2,5,3,6,8,1,4,7]
[8,4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4,8]
[6,4,7,5,2,1,8,3]=>[3,8,1,2,5,7,4,6]
[1,6,4,7,5,3,8,2]=>[2,8,3,5,7,4,6,1]
[8,6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6,8]
[6,3,5,2,8,7,4,1]=>[1,4,7,8,2,5,3,6]
[6,3,5,2,7,4,1,8]=>[8,1,4,7,2,5,3,6]
[4,5,7,2,6,3,1,8]=>[8,1,3,6,2,7,5,4]
[3,5,8,4,6,1,7,2]=>[2,7,1,6,4,8,5,3]
[1,4,7,3,5,2,6,8]=>[8,6,2,5,3,7,4,1]
[5,7,4,2,6,3,1,8]=>[8,1,3,6,2,4,7,5]
[4,2,6,3,5,7,1,8]=>[8,1,7,5,3,6,2,4]
[1,4,5,8,2,7,3,6]=>[6,3,7,2,8,5,4,1]
[2,4,5,8,1,6,7,3]=>[3,7,6,1,8,5,4,2]
[8,3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3,8]
[4,2,5,7,8,1,6,3]=>[3,6,1,8,7,5,2,4]
[8,3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3,8]
[4,1,7,3,5,2,6,8]=>[8,6,2,5,3,7,1,4]
[6,1,3,7,4,2,5,8]=>[8,5,2,4,7,3,1,6]
[3,1,6,8,2,7,4,5]=>[5,4,7,2,8,6,1,3]
[6,1,3,8,2,5,4,7]=>[7,4,5,2,8,3,1,6]
[4,8,2,3,1,6,7,5]=>[5,7,6,1,3,2,8,4]
[3,2,6,8,1,5,7,4]=>[4,7,5,1,8,6,2,3]
[8,2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2,8]
[8,6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6,8]
[7,6,8,3,1,5,4,2]=>[2,4,5,1,3,8,6,7]
[5,7,4,2,8,1,6,3]=>[3,6,1,8,2,4,7,5]
[6,3,7,2,8,1,5,4]=>[4,5,1,8,2,7,3,6]
[7,5,2,8,6,1,4,3]=>[3,4,1,6,8,2,5,7]
[2,7,3,8,1,5,6,4]=>[4,6,5,1,8,3,7,2]
[1,6,8,5,2,4,3,7]=>[7,3,4,2,5,8,6,1]
[4,5,7,2,8,1,6,3]=>[3,6,1,8,2,7,5,4]
[4,5,6,8,3,1,7,2]=>[2,7,1,3,8,6,5,4]
[8,4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4,8]
[5,6,4,8,3,1,7,2]=>[2,7,1,3,8,4,6,5]
[3,4,7,1,2,6,5,8]=>[8,5,6,2,1,7,4,3]
[4,8,1,6,2,3,7,5]=>[5,7,3,2,6,1,8,4]
[4,5,3,1,7,2,6,8]=>[8,6,2,7,1,3,5,4]
[4,7,3,1,2,6,5,8]=>[8,5,6,2,1,3,7,4]
[5,2,7,1,3,6,4,8]=>[8,4,6,3,1,7,2,5]
[7,8,1,2,4,3,6,5]=>[5,6,3,4,2,1,8,7]
[8,4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4,8]
[4,8,3,1,2,5,7,6]=>[6,7,5,2,1,3,8,4]
[4,1,3,6,5,7,8,2]=>[2,8,7,5,6,3,1,4]
[6,1,3,4,2,8,5,7]=>[7,5,8,2,4,3,1,6]
[8,1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1,8]
[8,1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1,8]
[5,2,4,1,3,7,8,6]=>[6,8,7,3,1,4,2,5]
[2,6,5,3,1,7,8,4]=>[4,8,7,1,3,5,6,2]
[8,3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3,8]
[1,7,4,3,6,8,2,5]=>[5,2,8,6,3,4,7,1]
[2,7,6,3,1,8,4,5]=>[5,4,8,1,3,6,7,2]
[2,8,4,6,3,7,5,1]=>[1,5,7,3,6,4,8,2]
[8,7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7,8]
[1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]
[3,8,6,5,7,1,4,2]=>[2,4,1,7,5,6,8,3]
[4,8,6,2,7,1,5,3]=>[3,5,1,7,2,6,8,4]
[4,7,5,3,8,2,1,6]=>[6,1,2,8,3,5,7,4]
[1,6,5,8,3,4,2,7]=>[7,2,4,3,8,5,6,1]
[6,1,5,3,8,4,2,7]=>[7,2,4,8,3,5,1,6]
[8,1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1,8]
[2,1,4,7,5,8,3,6]=>[6,3,8,5,7,4,1,2]
[6,3,5,8,7,4,1,2]=>[2,1,4,7,8,5,3,6]
[4,7,2,8,5,6,3,1]=>[1,3,6,5,8,2,7,4]
[1,4,8,7,3,5,6,2]=>[2,6,5,3,7,8,4,1]
[8,1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1,8]
[3,6,8,5,7,4,1,2]=>[2,1,4,7,5,8,6,3]
[4,7,6,8,5,3,1,2]=>[2,1,3,5,8,6,7,4]
[5,7,2,8,6,4,1,3]=>[3,1,4,6,8,2,7,5]
[3,8,7,5,6,4,2,1]=>[1,2,4,6,5,7,8,3]
[2,8,7,6,4,5,3,1]=>[1,3,5,4,6,7,8,2]
[1,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,1]
[4,6,7,2,5,3,1,8]=>[8,1,3,5,2,7,6,4]
[3,6,7,4,8,1,5,2]=>[2,5,1,8,4,7,6,3]
[3,8,5,7,6,1,4,2]=>[2,4,1,6,7,5,8,3]
[1,4,7,8,2,6,5,3]=>[3,5,6,2,8,7,4,1]
[2,4,7,8,1,6,5,3]=>[3,5,6,1,8,7,4,2]
[4,2,6,8,7,1,5,3]=>[3,5,1,7,8,6,2,4]
[3,1,7,8,2,6,5,4]=>[4,5,6,2,8,7,1,3]
[6,1,3,8,2,7,5,4]=>[4,5,7,2,8,3,1,6]
[5,1,8,4,2,7,6,3]=>[3,6,7,2,4,8,1,5]
[8,2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2,8]
[6,8,3,7,1,5,4,2]=>[2,4,5,1,7,3,8,6]
[2,7,3,8,1,6,5,4]=>[4,5,6,1,8,3,7,2]
[1,7,3,8,2,6,5,4]=>[4,5,6,2,8,3,7,1]
[2,6,8,4,1,7,5,3]=>[3,5,7,1,4,8,6,2]
[4,5,8,6,3,1,7,2]=>[2,7,1,3,6,8,5,4]
[4,6,7,1,2,8,5,3]=>[3,5,8,2,1,7,6,4]
[3,6,1,8,2,7,5,4]=>[4,5,7,2,8,1,6,3]
[5,7,4,1,2,8,6,3]=>[3,6,8,2,1,4,7,5]
[6,3,7,1,2,8,5,4]=>[4,5,8,2,1,7,3,6]
[6,2,1,8,3,7,5,4]=>[4,5,7,3,8,1,2,6]
[8,1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1,8]
[1,7,8,3,5,2,4,6]=>[6,4,2,5,3,8,7,1]
[8,5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5,8]
[1,7,2,4,8,5,3,6]=>[6,3,5,8,4,2,7,1]
[1,7,8,5,4,3,2,6]=>[6,2,3,4,5,8,7,1]
[2,6,8,7,4,3,5,1]=>[1,5,3,4,7,8,6,2]
[1,2,6,7,8,4,3,5]=>[5,3,4,8,7,6,2,1]
[2,7,5,8,4,1,3,6]=>[6,3,1,4,8,5,7,2]
[2,1,7,8,4,5,3,6]=>[6,3,5,4,8,7,1,2]
[3,7,8,2,1,5,4,6]=>[6,4,5,1,2,8,7,3]
[8,5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5,8]
[8,4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4,8]
[8,1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1,8]
[3,5,8,6,7,4,1,2]=>[2,1,4,7,6,8,5,3]
[3,6,8,4,7,1,5,2]=>[2,5,1,7,4,8,6,3]
[4,7,1,3,6,8,2,5]=>[5,2,8,6,3,1,7,4]
[3,7,6,4,8,1,2,5]=>[5,2,1,8,4,6,7,3]
[3,1,7,5,6,8,2,4]=>[4,2,8,6,5,7,1,3]
[2,3,6,5,7,1,8,4]=>[4,8,1,7,5,6,3,2]
[3,7,5,4,2,1,8,6]=>[6,8,1,2,4,5,7,3]
[1,3,6,7,4,2,8,5]=>[5,8,2,4,7,6,3,1]
[3,6,4,8,2,7,5,1]=>[1,5,7,2,8,4,6,3]
[1,4,6,3,2,7,8,5]=>[5,8,7,2,3,6,4,1]
[8,7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7,8]
[8,1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1,8]
[1,7,8,6,5,3,2,4]=>[4,2,3,5,6,8,7,1]
[8,7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7,8]
[1,7,8,2,6,4,5,3]=>[3,5,4,6,2,8,7,1]
[8,7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7,8]
[8,7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7,8]
[8,7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7,8]
[8,2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2,8]
[1,7,2,8,5,6,4,3]=>[3,4,6,5,8,2,7,1]
[2,7,1,8,4,6,5,3]=>[3,5,6,4,8,1,7,2]
[3,7,8,2,1,6,5,4]=>[4,5,6,1,2,8,7,3]
[8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8]
[4,8,1,2,3,7,5,6]=>[6,5,7,3,2,1,8,4]
[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]
[3,5,8,4,7,2,6,1]=>[1,6,2,7,4,8,5,3]
[1,8,5,4,6,2,3,7]=>[7,3,2,6,4,5,8,1]
[3,8,5,4,6,1,2,7]=>[7,2,1,6,4,5,8,3]
[3,8,5,1,6,4,2,7]=>[7,2,4,6,1,5,8,3]
[2,8,5,4,6,1,3,7]=>[7,3,1,6,4,5,8,2]
[2,8,5,4,6,3,1,7]=>[7,1,3,6,4,5,8,2]
[1,8,5,4,6,3,2,7]=>[7,2,3,6,4,5,8,1]
[2,5,8,4,7,3,6,1]=>[1,6,3,7,4,8,5,2]
[3,6,4,2,7,8,5,1]=>[1,5,8,7,2,4,6,3]
[3,5,4,1,6,2,7,8]=>[8,7,2,6,1,4,5,3]
[4,5,8,1,7,6,2,3]=>[3,2,6,7,1,8,5,4]
[3,5,8,4,7,1,6,2]=>[2,6,1,7,4,8,5,3]
[1,5,8,4,7,3,6,2]=>[2,6,3,7,4,8,5,1]
[3,6,4,1,7,8,5,2]=>[2,5,8,7,1,4,6,3]
[3,6,4,8,7,5,2,1]=>[1,2,5,7,8,4,6,3]
[1,6,4,3,7,8,5,2]=>[2,5,8,7,3,4,6,1]
[7,1,3,4,8,6,5,2]=>[2,5,6,8,4,3,1,7]
[7,6,1,3,8,4,2,5]=>[5,2,4,8,3,1,6,7]
[1,6,4,2,7,8,3,5]=>[5,3,8,7,2,4,6,1]
[2,6,4,3,7,1,8,5]=>[5,8,1,7,3,4,6,2]
[2,6,4,1,7,8,3,5]=>[5,3,8,7,1,4,6,2]
[7,2,3,4,8,6,5,1]=>[1,5,6,8,4,3,2,7]
[7,2,3,1,8,6,4,5]=>[5,4,6,8,1,3,2,7]
[7,2,3,4,1,6,8,5]=>[5,8,6,1,4,3,2,7]
[1,2,4,3,8,5,7,6]=>[6,7,5,8,3,4,2,1]
[7,3,8,6,1,4,2,5]=>[5,2,4,1,6,8,3,7]
[7,2,8,6,3,4,1,5]=>[5,1,4,3,6,8,2,7]
[7,2,3,1,5,6,8,4]=>[4,8,6,5,1,3,2,7]
[7,2,3,8,1,6,5,4]=>[4,5,6,1,8,3,2,7]
[7,2,3,8,5,6,4,1]=>[1,4,6,5,8,3,2,7]
[2,6,4,8,7,1,5,3]=>[3,5,1,7,8,4,6,2]
[1,5,8,4,7,6,2,3]=>[3,2,6,7,4,8,5,1]
[3,5,8,1,6,7,2,4]=>[4,2,7,6,1,8,5,3]
[7,6,1,3,5,8,2,4]=>[4,2,8,5,3,1,6,7]
[7,1,3,2,5,6,8,4]=>[4,8,6,5,2,3,1,7]
[7,1,3,8,2,6,5,4]=>[4,5,6,2,8,3,1,7]
[7,6,1,8,5,4,2,3]=>[3,2,4,5,8,1,6,7]
[4,1,6,5,8,2,7,3]=>[3,7,2,8,5,6,1,4]
[3,1,6,5,8,4,7,2]=>[2,7,4,8,5,6,1,3]
[3,2,6,5,8,4,7,1]=>[1,7,4,8,5,6,2,3]
[4,3,7,1,6,5,8,2]=>[2,8,5,6,1,7,3,4]
[5,2,6,4,8,3,7,1]=>[1,7,3,8,4,6,2,5]
[5,1,6,4,8,3,7,2]=>[2,7,3,8,4,6,1,5]
[5,1,6,4,8,2,7,3]=>[3,7,2,8,4,6,1,5]
[5,2,6,4,8,1,7,3]=>[3,7,1,8,4,6,2,5]
[4,3,7,5,8,1,6,2]=>[2,6,1,8,5,7,3,4]
[4,3,7,5,8,2,6,1]=>[1,6,2,8,5,7,3,4]
[5,3,7,4,8,2,6,1]=>[1,6,2,8,4,7,3,5]
[5,3,7,4,8,1,6,2]=>[2,6,1,8,4,7,3,5]
[5,4,8,1,6,2,7,3]=>[3,7,2,6,1,8,4,5]
[4,3,7,2,6,1,8,5]=>[5,8,1,6,2,7,3,4]
[4,3,7,1,5,2,8,6]=>[6,8,2,5,1,7,3,4]
[4,3,7,1,6,2,8,5]=>[5,8,2,6,1,7,3,4]
[5,4,8,2,6,3,7,1]=>[1,7,3,6,2,8,4,5]
[5,4,8,1,6,3,7,2]=>[2,7,3,6,1,8,4,5]
[5,1,2,7,6,3,8,4]=>[4,8,3,6,7,2,1,5]
[4,1,7,5,2,3,6,8]=>[8,6,3,2,5,7,1,4]
[4,7,2,6,3,1,5,8]=>[8,5,1,3,6,2,7,4]
[4,8,2,7,3,5,1,6]=>[6,1,5,3,7,2,8,4]
[4,1,8,7,6,3,2,5]=>[5,2,3,6,7,8,1,4]
[5,1,8,6,7,3,2,4]=>[4,2,3,7,6,8,1,5]
[4,1,7,8,6,3,2,5]=>[5,2,3,6,8,7,1,4]
[4,7,2,8,3,5,1,6]=>[6,1,5,3,8,2,7,4]
[1,2,6,8,3,7,4,5]=>[5,4,7,3,8,6,2,1]
[6,8,3,2,1,4,7,5]=>[5,7,4,1,2,3,8,6]
[6,7,5,2,1,8,3,4]=>[4,3,8,1,2,5,7,6]
[7,2,4,1,6,5,8,3]=>[3,8,5,6,1,4,2,7]
[8,4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4,8]
[7,5,8,4,3,1,6,2]=>[2,6,1,3,4,8,5,7]
[6,7,5,2,8,4,1,3]=>[3,1,4,8,2,5,7,6]
[6,8,2,4,1,3,7,5]=>[5,7,3,1,4,2,8,6]
[8,4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4,8]
[5,2,6,7,3,8,4,1]=>[1,4,8,3,7,6,2,5]
[5,2,7,6,3,8,4,1]=>[1,4,8,3,6,7,2,5]
[2,8,4,7,6,3,5,1]=>[1,5,3,6,7,4,8,2]
[6,1,2,7,5,8,4,3]=>[3,4,8,5,7,2,1,6]
[3,4,7,5,1,6,8,2]=>[2,8,6,1,5,7,4,3]
[7,1,2,6,5,8,4,3]=>[3,4,8,5,6,2,1,7]
[8,4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4,8]
[6,2,5,7,3,8,4,1]=>[1,4,8,3,7,5,2,6]
[7,3,4,6,2,8,5,1]=>[1,5,8,2,6,4,3,7]
[4,2,7,3,8,5,6,1]=>[1,6,5,8,3,7,2,4]
[4,5,2,6,8,3,7,1]=>[1,7,3,8,6,2,5,4]
[4,8,3,2,5,7,6,1]=>[1,6,7,5,2,3,8,4]
[2,6,8,5,3,4,7,1]=>[1,7,4,3,5,8,6,2]
[7,2,4,3,8,5,6,1]=>[1,6,5,8,3,4,2,7]
[6,8,5,3,4,7,2,1]=>[1,2,7,4,3,5,8,6]
[2,4,7,6,1,5,8,3]=>[3,8,5,1,6,7,4,2]
[8,2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2,8]
[6,1,7,5,8,4,2,3]=>[3,2,4,8,5,7,1,6]
[3,8,4,5,7,6,2,1]=>[1,2,6,7,5,4,8,3]
[8,4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4,8]
[6,8,4,1,5,3,7,2]=>[2,7,3,5,1,4,8,6]
[6,8,3,4,7,2,5,1]=>[1,5,2,7,4,3,8,6]
[8,3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3,8]
[4,7,6,2,5,8,3,1]=>[1,3,8,5,2,6,7,4]
[1,8,3,5,2,6,7,4]=>[4,7,6,2,5,3,8,1]
[8,3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3,8]
[6,8,3,5,1,4,7,2]=>[2,7,4,1,5,3,8,6]
[6,1,5,8,4,3,7,2]=>[2,7,3,4,8,5,1,6]
[6,8,4,7,2,3,5,1]=>[1,5,3,2,7,4,8,6]
[1,7,2,6,5,8,4,3]=>[3,4,8,5,6,2,7,1]
[7,1,6,5,8,4,2,3]=>[3,2,4,8,5,6,1,7]
[7,5,3,4,8,2,6,1]=>[1,6,2,8,4,3,5,7]
[5,3,8,2,4,7,6,1]=>[1,6,7,4,2,8,3,5]
[6,7,2,8,5,4,3,1]=>[1,3,4,5,8,2,7,6]
[3,7,4,6,2,8,5,1]=>[1,5,8,2,6,4,7,3]
[7,4,2,3,8,5,6,1]=>[1,6,5,8,3,2,4,7]
[6,8,5,4,2,3,7,1]=>[1,7,3,2,4,5,8,6]
[6,8,4,7,1,3,5,2]=>[2,5,3,1,7,4,8,6]
[5,8,2,4,3,7,6,1]=>[1,6,7,3,4,2,8,5]
[3,4,5,8,2,7,6,1]=>[1,6,7,2,8,5,4,3]
[6,8,3,4,5,2,7,1]=>[1,7,2,5,4,3,8,6]
[6,7,1,5,3,8,4,2]=>[2,4,8,3,5,1,7,6]
[7,4,6,3,2,8,5,1]=>[1,5,8,2,3,6,4,7]
[8,2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2,8]
[8,2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2,8]
[8,2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2,8]
[8,1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1,8]
[8,1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1,8]
[8,1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1,8]
[8,1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1,8]
[8,1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1,8]
[6,5,3,8,4,2,7,1]=>[1,7,2,4,8,3,5,6]
[7,4,5,1,6,2,8,3]=>[3,8,2,6,1,5,4,7]
[4,7,3,5,6,2,8,1]=>[1,8,2,6,5,3,7,4]
[6,7,8,4,1,3,5,2]=>[2,5,3,1,4,8,7,6]
[3,1,6,8,4,7,5,2]=>[2,5,7,4,8,6,1,3]
[8,3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3,8]
[2,7,3,5,8,6,4,1]=>[1,4,6,8,5,3,7,2]
[3,2,7,5,8,6,1,4]=>[4,1,6,8,5,7,2,3]
[2,4,7,5,8,6,1,3]=>[3,1,6,8,5,7,4,2]
[2,5,4,7,8,1,6,3]=>[3,6,1,8,7,4,5,2]
[2,4,6,7,8,1,5,3]=>[3,5,1,8,7,6,4,2]
[2,4,7,6,1,8,5,3]=>[3,5,8,1,6,7,4,2]
[2,4,6,8,1,7,5,3]=>[3,5,7,1,8,6,4,2]
[7,3,6,8,2,5,1,4]=>[4,1,5,2,8,6,3,7]
[5,7,3,8,6,2,1,4]=>[4,1,2,6,8,3,7,5]
[7,4,3,8,6,2,1,5]=>[5,1,2,6,8,3,4,7]
[2,4,7,8,3,5,6,1]=>[1,6,5,3,8,7,4,2]
[3,4,7,2,8,5,1,6]=>[6,1,5,8,2,7,4,3]
[3,5,2,7,8,1,4,6]=>[6,4,1,8,7,2,5,3]
[3,2,7,6,1,8,4,5]=>[5,4,8,1,6,7,2,3]
[3,2,6,8,1,7,4,5]=>[5,4,7,1,8,6,2,3]
[3,5,2,8,1,4,7,6]=>[6,7,4,1,8,2,5,3]
[4,3,6,2,1,8,5,7]=>[7,5,8,1,2,6,3,4]
[3,6,4,2,5,8,1,7]=>[7,1,8,5,2,4,6,3]
[4,6,2,3,5,8,7,1]=>[1,7,8,5,3,2,6,4]
[4,6,2,3,7,5,8,1]=>[1,8,5,7,3,2,6,4]
[3,6,4,2,7,5,1,8]=>[8,1,5,7,2,4,6,3]
[4,3,6,2,7,1,5,8]=>[8,5,1,7,2,6,3,4]
[3,6,5,2,1,7,4,8]=>[8,4,7,1,2,5,6,3]
[4,8,6,3,2,1,5,7]=>[7,5,1,2,3,6,8,4]
[7,4,6,3,2,1,5,8]=>[8,5,1,2,3,6,4,7]
[5,8,4,2,3,6,7,1]=>[1,7,6,3,2,4,8,5]
[6,4,8,3,2,1,5,7]=>[7,5,1,2,3,8,4,6]
[8,4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4,8]
[5,8,3,4,2,1,7,6]=>[6,7,1,2,4,3,8,5]
[6,8,4,2,3,7,5,1]=>[1,5,7,3,2,4,8,6]
[3,6,4,2,1,8,7,5]=>[5,7,8,1,2,4,6,3]
[6,4,8,3,2,7,1,5]=>[5,1,7,2,3,8,4,6]
[5,6,8,3,2,7,1,4]=>[4,1,7,2,3,8,6,5]
[5,8,3,7,2,1,6,4]=>[4,6,1,2,7,3,8,5]
[2,8,5,7,4,1,6,3]=>[3,6,1,4,7,5,8,2]
[2,8,6,5,4,1,7,3]=>[3,7,1,4,5,6,8,2]
[2,5,6,4,1,8,7,3]=>[3,7,8,1,4,6,5,2]
[2,8,6,4,5,7,1,3]=>[3,1,7,5,4,6,8,2]
[3,8,6,2,5,7,1,4]=>[4,1,7,5,2,6,8,3]
[2,8,6,5,3,7,4,1]=>[1,4,7,3,5,6,8,2]
[2,5,6,4,7,1,8,3]=>[3,8,1,7,4,6,5,2]
[2,6,5,4,1,7,8,3]=>[3,8,7,1,4,5,6,2]
[2,5,4,8,1,6,7,3]=>[3,7,6,1,8,4,5,2]
[5,7,6,3,2,8,1,4]=>[4,1,8,2,3,6,7,5]
[6,5,7,3,2,8,1,4]=>[4,1,8,2,3,7,5,6]
[6,4,7,3,8,2,1,5]=>[5,1,2,8,3,7,4,6]
[3,6,4,2,7,1,8,5]=>[5,8,1,7,2,4,6,3]
[7,5,4,2,3,8,6,1]=>[1,6,8,3,2,4,5,7]
[6,7,4,3,2,1,8,5]=>[5,8,1,2,3,4,7,6]
[8,4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4,8]
[8,4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4,8]
[8,4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4,8]
[4,6,3,2,1,5,7,8]=>[8,7,5,1,2,3,6,4]
[1,2,6,5,8,7,3,4]=>[4,3,7,8,5,6,2,1]
[1,5,2,8,4,6,7,3]=>[3,7,6,4,8,2,5,1]
[1,5,2,7,4,6,8,3]=>[3,8,6,4,7,2,5,1]
[5,1,2,7,3,6,8,4]=>[4,8,6,3,7,2,1,5]
[5,1,2,8,3,6,7,4]=>[4,7,6,3,8,2,1,5]
[5,6,3,4,8,7,2,1]=>[1,2,7,8,4,3,6,5]
[6,5,3,4,8,7,2,1]=>[1,2,7,8,4,3,5,6]
[4,1,2,8,3,6,7,5]=>[5,7,6,3,8,2,1,4]
[4,1,2,7,3,6,8,5]=>[5,8,6,3,7,2,1,4]
[5,1,2,8,3,6,4,7]=>[7,4,6,3,8,2,1,5]
[7,5,3,8,4,6,2,1]=>[1,2,6,4,8,3,5,7]
[8,5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5,8]
[4,1,2,7,3,6,5,8]=>[8,5,6,3,7,2,1,4]
[6,1,7,2,3,5,4,8]=>[8,4,5,3,2,7,1,6]
[1,6,7,2,4,5,3,8]=>[8,3,5,4,2,7,6,1]
[1,6,8,2,4,5,3,7]=>[7,3,5,4,2,8,6,1]
[5,8,1,2,3,4,7,6]=>[6,7,4,3,2,1,8,5]
[7,1,8,2,3,5,4,6]=>[6,4,5,3,2,8,1,7]
[7,1,2,8,3,6,4,5]=>[5,4,6,3,8,2,1,7]
[6,1,8,2,3,5,7,4]=>[4,7,5,3,2,8,1,6]
[6,1,7,2,3,5,8,4]=>[4,8,5,3,2,7,1,6]
[1,6,7,2,4,5,8,3]=>[3,8,5,4,2,7,6,1]
[1,6,8,2,4,5,7,3]=>[3,7,5,4,2,8,6,1]
[4,3,8,7,5,6,2,1]=>[1,2,6,5,7,8,3,4]
[1,8,2,7,4,6,5,3]=>[3,5,6,4,7,2,8,1]
[1,8,6,2,4,5,7,3]=>[3,7,5,4,2,6,8,1]
[1,7,6,2,4,5,8,3]=>[3,8,5,4,2,6,7,1]
[7,1,6,2,3,5,8,4]=>[4,8,5,3,2,6,1,7]
[8,1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1,8]
[8,1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1,8]
[5,8,3,7,4,6,2,1]=>[1,2,6,4,7,3,8,5]
[6,8,7,3,4,5,2,1]=>[1,2,5,4,3,7,8,6]
[1,8,7,2,4,5,3,6]=>[6,3,5,4,2,7,8,1]
[8,1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1,8]
[8,7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7,8]
[8,6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6,8]
[8,5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5,8]
[8,1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1,8]
[1,8,6,2,4,5,3,7]=>[7,3,5,4,2,6,8,1]
[1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]
[7,1,6,2,3,5,4,8]=>[8,4,5,3,2,6,1,7]
[1,8,7,4,6,3,5,2]=>[2,5,3,6,4,7,8,1]
[4,7,2,6,1,8,5,3]=>[3,5,8,1,6,2,7,4]
[6,7,2,5,1,4,8,3]=>[3,8,4,1,5,2,7,6]
[6,3,7,5,1,4,8,2]=>[2,8,4,1,5,7,3,6]
[4,2,5,8,7,3,6,1]=>[1,6,3,7,8,5,2,4]
[8,1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1,8]
[1,8,3,5,7,2,6,4]=>[4,6,2,7,5,3,8,1]
[1,3,4,8,7,5,6,2]=>[2,6,5,7,8,4,3,1]
[2,3,4,6,8,5,7,1]=>[1,7,5,8,6,4,3,2]
[2,3,5,7,4,8,6,1]=>[1,6,8,4,7,5,3,2]
[2,4,6,3,7,8,5,1]=>[1,5,8,7,3,6,4,2]
[2,5,7,1,8,6,3,4]=>[4,3,6,8,1,7,5,2]
[1,5,6,8,3,7,4,2]=>[2,4,7,3,8,6,5,1]
[8,1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1,8]
[8,2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2,8]
[1,3,8,5,2,4,6,7]=>[7,6,4,2,5,8,3,1]
[1,4,7,8,3,5,6,2]=>[2,6,5,3,8,7,4,1]
[2,6,7,1,8,4,5,3]=>[3,5,4,8,1,7,6,2]
[4,5,6,1,3,7,8,2]=>[2,8,7,3,1,6,5,4]
[3,4,1,8,5,2,6,7]=>[7,6,2,5,8,1,4,3]
[2,4,8,1,5,3,6,7]=>[7,6,3,5,1,8,4,2]
[5,8,3,1,4,2,6,7]=>[7,6,2,4,1,3,8,5]
[8,2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2,8]
[3,8,4,2,6,7,1,5]=>[5,1,7,6,2,4,8,3]
[2,4,1,8,5,6,3,7]=>[7,3,6,5,8,1,4,2]
[1,6,2,7,8,5,3,4]=>[4,3,5,8,7,2,6,1]
[3,5,2,6,7,8,4,1]=>[1,4,8,7,6,2,5,3]
[4,5,1,6,7,3,8,2]=>[2,8,3,7,6,1,5,4]
[2,8,4,1,7,5,3,6]=>[6,3,5,7,1,4,8,2]
[8,5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5,8]
[4,2,8,7,1,5,3,6]=>[6,3,5,1,7,8,2,4]
[5,2,6,8,1,7,4,3]=>[3,4,7,1,8,6,2,5]
[5,2,7,1,6,8,3,4]=>[4,3,8,6,1,7,2,5]
[5,7,3,2,6,8,1,4]=>[4,1,8,6,2,3,7,5]
[8,4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4,8]
[5,7,1,2,8,4,6,3]=>[3,6,4,8,2,1,7,5]
[6,7,1,2,3,5,8,4]=>[4,8,5,3,2,1,7,6]
[6,1,7,2,3,8,5,4]=>[4,5,8,3,2,7,1,6]
[3,2,8,6,1,4,5,7]=>[7,5,4,1,6,8,2,3]
[3,1,6,7,8,4,2,5]=>[5,2,4,8,7,6,1,3]
[3,1,4,8,5,6,2,7]=>[7,2,6,5,8,4,1,3]
[5,1,8,2,3,6,4,7]=>[7,4,6,3,2,8,1,5]
[8,3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3,8]
[8,6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6,8]
[8,2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2,8]
[2,6,3,8,7,5,4,1]=>[1,4,5,7,8,3,6,2]
[8,2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2,8]
[8,2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2,8]
[8,6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6,8]
[8,6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6,8]
[8,4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4,8]
[8,3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3,8]
[8,3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3,8]
[8,3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3,8]
[8,3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3,8]
[8,2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2,8]
[6,1,3,8,7,5,4,2]=>[2,4,5,7,8,3,1,6]
[3,6,1,8,7,5,4,2]=>[2,4,5,7,8,1,6,3]
[3,8,1,5,7,6,4,2]=>[2,4,6,7,5,1,8,3]
[3,5,2,8,7,6,4,1]=>[1,4,6,7,8,2,5,3]
[3,4,8,2,7,6,5,1]=>[1,5,6,7,2,8,4,3]
[3,4,8,7,1,6,5,2]=>[2,5,6,1,7,8,4,3]
[8,1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1,8]
[4,1,8,5,7,6,3,2]=>[2,3,6,7,5,8,1,4]
[8,2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2,8]
[8,1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1,8]
[8,3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3,8]
[3,8,2,4,7,6,5,1]=>[1,5,6,7,4,2,8,3]
[2,8,3,7,4,6,5,1]=>[1,5,6,4,7,3,8,2]
[8,2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2,8]
[8,2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2,8]
[8,1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1,8]
[8,1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1,8]
[8,2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2,8]
[2,4,8,5,7,6,3,1]=>[1,3,6,7,5,8,4,2]
[8,2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2,8]
[8,2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2,8]
[8,2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2,8]
[8,2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2,8]
[8,2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2,8]
[6,2,1,8,7,5,4,3]=>[3,4,5,7,8,1,2,6]
[6,1,8,2,7,5,4,3]=>[3,4,5,7,2,8,1,6]
[8,1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1,8]
[8,1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1,8]
[8,1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1,8]
[8,2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2,8]
[4,2,8,3,7,6,5,1]=>[1,5,6,7,3,8,2,4]
[4,8,2,1,7,6,5,3]=>[3,5,6,7,1,2,8,4]
[5,1,8,7,2,6,4,3]=>[3,4,6,2,7,8,1,5]
[5,8,1,3,7,6,2,4]=>[4,2,6,7,3,1,8,5]
[8,2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2,8]
[5,1,4,8,7,6,3,2]=>[2,3,6,7,8,4,1,5]
[8,1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1,8]
[4,8,1,3,7,6,5,2]=>[2,5,6,7,3,1,8,4]
[4,3,8,1,7,6,5,2]=>[2,5,6,7,1,8,3,4]
[5,8,6,3,2,1,7,4]=>[4,7,1,2,3,6,8,5]
[5,1,7,4,3,2,6,8]=>[8,6,2,3,4,7,1,5]
[5,7,6,3,2,4,1,8]=>[8,1,4,2,3,6,7,5]
[6,5,7,2,4,3,1,8]=>[8,1,3,4,2,7,5,6]
[5,7,1,3,2,8,6,4]=>[4,6,8,2,3,1,7,5]
[5,8,1,3,2,7,4,6]=>[6,4,7,2,3,1,8,5]
[8,5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5,8]
[6,5,1,3,7,2,4,8]=>[8,4,2,7,3,1,5,6]
[7,5,1,3,2,4,8,6]=>[6,8,4,2,3,1,5,7]
[7,5,8,2,1,4,3,6]=>[6,3,4,1,2,8,5,7]
[6,7,1,2,5,4,8,3]=>[3,8,4,5,2,1,7,6]
[7,4,3,1,2,8,6,5]=>[5,6,8,2,1,3,4,7]
[3,2,8,1,4,7,5,6]=>[6,5,7,4,1,8,2,3]
[8,4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4,8]
[6,8,1,2,5,7,4,3]=>[3,4,7,5,2,1,8,6]
[7,1,2,3,8,6,4,5]=>[5,4,6,8,3,2,1,7]
[8,1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1,8]
[4,1,3,8,2,5,7,6]=>[6,7,5,2,8,3,1,4]
[6,8,5,3,4,1,7,2]=>[2,7,1,4,3,5,8,6]
[1,5,4,8,2,3,7,6]=>[6,7,3,2,8,4,5,1]
[1,8,6,5,2,3,7,4]=>[4,7,3,2,5,6,8,1]
[8,5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5,8]
[1,7,8,2,3,5,6,4]=>[4,6,5,3,2,8,7,1]
[7,6,8,1,3,4,2,5]=>[5,2,4,3,1,8,6,7]
[7,5,8,2,3,1,4,6]=>[6,4,1,3,2,8,5,7]
[7,4,1,2,6,8,3,5]=>[5,3,8,6,2,1,4,7]
[7,1,3,8,2,5,6,4]=>[4,6,5,2,8,3,1,7]
[6,2,8,1,5,7,3,4]=>[4,3,7,5,1,8,2,6]
[7,2,5,4,1,8,6,3]=>[3,6,8,1,4,5,2,7]
[7,3,5,4,2,1,8,6]=>[6,8,1,2,4,5,3,7]
[7,4,5,2,1,6,8,3]=>[3,8,6,1,2,5,4,7]
[7,4,3,2,6,1,8,5]=>[5,8,1,6,2,3,4,7]
[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]
[7,2,5,4,1,6,3,8]=>[8,3,6,1,4,5,2,7]
[1,5,2,4,7,8,3,6]=>[6,3,8,7,4,2,5,1]
[3,5,1,2,8,6,7,4]=>[4,7,6,8,2,1,5,3]
[2,5,3,4,7,8,1,6]=>[6,1,8,7,4,3,5,2]
[2,7,4,3,6,8,5,1]=>[1,5,8,6,3,4,7,2]
[1,7,4,3,6,8,5,2]=>[2,5,8,6,3,4,7,1]
[3,7,1,8,2,5,6,4]=>[4,6,5,2,8,1,7,3]
[4,7,6,3,2,5,8,1]=>[1,8,5,2,3,6,7,4]
[4,7,6,5,2,3,8,1]=>[1,8,3,2,5,6,7,4]
[4,7,6,5,1,3,8,2]=>[2,8,3,1,5,6,7,4]
[1,7,6,5,2,3,8,4]=>[4,8,3,2,5,6,7,1]
[1,7,6,5,8,3,2,4]=>[4,2,3,8,5,6,7,1]
[4,7,6,5,1,3,2,8]=>[8,2,3,1,5,6,7,4]
[4,7,6,5,3,8,1,2]=>[2,1,8,3,5,6,7,4]
[5,7,6,3,2,8,4,1]=>[1,4,8,2,3,6,7,5]
[5,4,6,8,7,2,1,3]=>[3,1,2,7,8,6,4,5]
[6,3,4,2,8,1,5,7]=>[7,5,1,8,2,4,3,6]
[6,7,4,2,1,8,5,3]=>[3,5,8,1,2,4,7,6]
[6,7,3,2,1,8,5,4]=>[4,5,8,1,2,3,7,6]
[5,7,6,2,1,4,8,3]=>[3,8,4,1,2,6,7,5]
[1,7,6,3,2,8,4,5]=>[5,4,8,2,3,6,7,1]
[5,4,2,1,7,3,6,8]=>[8,6,3,7,1,2,4,5]
[6,5,8,1,7,3,4,2]=>[2,4,3,7,1,8,5,6]
[6,5,8,2,3,7,4,1]=>[1,4,7,3,2,8,5,6]
[6,5,8,3,4,1,7,2]=>[2,7,1,4,3,8,5,6]
[5,7,3,6,8,1,4,2]=>[2,4,1,8,6,3,7,5]
[5,7,2,6,3,1,4,8]=>[8,4,1,3,6,2,7,5]
[4,1,2,8,5,6,3,7]=>[7,3,6,5,8,2,1,4]
[4,1,2,8,5,3,6,7]=>[7,6,3,5,8,2,1,4]
[2,1,6,3,7,8,5,4]=>[4,5,8,7,3,6,1,2]
[4,7,1,6,8,2,5,3]=>[3,5,2,8,6,1,7,4]
[3,7,4,1,6,5,2,8]=>[8,2,5,6,1,4,7,3]
[3,7,2,1,4,5,6,8]=>[8,6,5,4,1,2,7,3]
[3,5,8,2,6,1,7,4]=>[4,7,1,6,2,8,5,3]
[4,2,7,8,3,5,1,6]=>[6,1,5,3,8,7,2,4]
[4,5,1,7,3,6,8,2]=>[2,8,6,3,7,1,5,4]
[4,3,2,8,5,1,6,7]=>[7,6,1,5,8,2,3,4]
[3,7,6,2,8,4,1,5]=>[5,1,4,8,2,6,7,3]
[3,7,6,1,5,2,8,4]=>[4,8,2,5,1,6,7,3]
[3,7,6,5,8,4,1,2]=>[2,1,4,8,5,6,7,3]
[1,7,6,2,5,8,4,3]=>[3,4,8,5,2,6,7,1]
[1,7,6,5,8,4,2,3]=>[3,2,4,8,5,6,7,1]
[3,7,6,5,8,1,2,4]=>[4,2,1,8,5,6,7,3]
[3,7,6,2,8,4,5,1]=>[1,5,4,8,2,6,7,3]
[4,3,6,8,5,1,2,7]=>[7,2,1,5,8,6,3,4]
[3,7,6,1,5,4,8,2]=>[2,8,4,5,1,6,7,3]
[4,7,2,6,8,5,1,3]=>[3,1,5,8,6,2,7,4]
[2,7,1,5,8,4,3,6]=>[6,3,4,8,5,1,7,2]
[2,7,6,1,8,4,3,5]=>[5,3,4,8,1,6,7,2]
[7,1,2,6,3,5,4,8]=>[8,4,5,3,6,2,1,7]
[6,2,7,5,8,4,3,1]=>[1,3,4,8,5,7,2,6]
[7,2,5,1,4,6,3,8]=>[8,3,6,4,1,5,2,7]
[7,2,6,3,4,5,1,8]=>[8,1,5,4,3,6,2,7]
[7,4,3,1,5,2,6,8]=>[8,6,2,5,1,3,4,7]
[6,7,8,4,2,5,3,1]=>[1,3,5,2,4,8,7,6]
[6,1,2,5,7,8,4,3]=>[3,4,8,7,5,2,1,6]
[3,7,8,6,2,5,1,4]=>[4,1,5,2,6,8,7,3]
[3,6,1,4,8,7,5,2]=>[2,5,7,8,4,1,6,3]
[4,1,2,7,8,5,3,6]=>[6,3,5,8,7,2,1,4]
[4,7,3,1,2,6,8,5]=>[5,8,6,2,1,3,7,4]
[3,6,4,5,8,1,7,2]=>[2,7,1,8,5,4,6,3]
[3,7,6,1,5,8,2,4]=>[4,2,8,5,1,6,7,3]
[2,7,6,5,4,1,8,3]=>[3,8,1,4,5,6,7,2]
[3,8,5,4,6,7,1,2]=>[2,1,7,6,4,5,8,3]
[3,8,5,6,4,2,7,1]=>[1,7,2,4,6,5,8,3]
[1,2,6,4,3,5,8,7]=>[7,8,5,3,4,6,2,1]
[3,2,6,4,7,8,5,1]=>[1,5,8,7,4,6,2,3]
[4,2,7,5,8,3,1,6]=>[6,1,3,8,5,7,2,4]
[4,2,7,1,3,8,6,5]=>[5,6,8,3,1,7,2,4]
[4,8,1,6,2,7,5,3]=>[3,5,7,2,6,1,8,4]
[5,7,2,3,1,4,6,8]=>[8,6,4,1,3,2,7,5]
[6,5,1,3,2,7,4,8]=>[8,4,7,2,3,1,5,6]
[6,5,2,3,1,7,4,8]=>[8,4,7,1,3,2,5,6]
[6,1,8,4,2,7,5,3]=>[3,5,7,2,4,8,1,6]
[5,7,2,3,8,4,1,6]=>[6,1,4,8,3,2,7,5]
[5,2,1,4,7,8,3,6]=>[6,3,8,7,4,1,2,5]
[5,6,2,7,3,4,8,1]=>[1,8,4,3,7,2,6,5]
[6,1,3,8,5,4,7,2]=>[2,7,4,5,8,3,1,6]
[3,7,8,6,1,2,4,5]=>[5,4,2,1,6,8,7,3]
[2,7,6,8,5,1,3,4]=>[4,3,1,5,8,6,7,2]
[2,7,8,6,1,5,4,3]=>[3,4,5,1,6,8,7,2]
[2,7,6,8,5,3,1,4]=>[4,1,3,5,8,6,7,2]
[4,7,6,8,2,1,3,5]=>[5,3,1,2,8,6,7,4]
[4,7,8,6,1,3,2,5]=>[5,2,3,1,6,8,7,4]
[1,7,8,6,5,2,3,4]=>[4,3,2,5,6,8,7,1]
[5,7,4,6,3,1,2,8]=>[8,2,1,3,6,4,7,5]
[5,6,1,8,3,7,4,2]=>[2,4,7,3,8,1,6,5]
[4,7,6,8,1,2,3,5]=>[5,3,2,1,8,6,7,4]
[2,8,4,1,5,7,3,6]=>[6,3,7,5,1,4,8,2]
[1,5,8,6,4,2,3,7]=>[7,3,2,4,6,8,5,1]
[2,8,5,7,4,3,6,1]=>[1,6,3,4,7,5,8,2]
[2,8,6,4,5,3,1,7]=>[7,1,3,5,4,6,8,2]
[2,8,4,6,3,1,7,5]=>[5,7,1,3,6,4,8,2]
[2,8,6,5,1,4,7,3]=>[3,7,4,1,5,6,8,2]
[2,8,4,3,1,6,7,5]=>[5,7,6,1,3,4,8,2]
[1,2,8,7,4,3,5,6]=>[6,5,3,4,7,8,2,1]
[1,4,6,2,5,7,8,3]=>[3,8,7,5,2,6,4,1]
[2,4,8,6,3,5,7,1]=>[1,7,5,3,6,8,4,2]
[4,6,8,1,3,2,5,7]=>[7,5,2,3,1,8,6,4]
[2,5,8,6,4,1,7,3]=>[3,7,1,4,6,8,5,2]
[2,4,6,1,5,7,3,8]=>[8,3,7,5,1,6,4,2]
[2,5,6,8,7,4,1,3]=>[3,1,4,7,8,6,5,2]
[5,7,2,3,6,1,4,8]=>[8,4,1,6,3,2,7,5]
[3,2,7,4,1,8,5,6]=>[6,5,8,1,4,7,2,3]
[1,6,2,3,5,8,7,4]=>[4,7,8,5,3,2,6,1]
[1,7,2,3,6,5,8,4]=>[4,8,5,6,3,2,7,1]
[4,7,2,3,5,6,8,1]=>[1,8,6,5,3,2,7,4]
[4,7,2,3,1,6,8,5]=>[5,8,6,1,3,2,7,4]
[4,7,2,3,1,5,6,8]=>[8,6,5,1,3,2,7,4]
[6,7,3,1,5,4,8,2]=>[2,8,4,5,1,3,7,6]
[7,4,6,2,8,3,5,1]=>[1,5,3,8,2,6,4,7]
[7,3,5,1,4,8,2,6]=>[6,2,8,4,1,5,3,7]
[7,2,5,1,4,8,6,3]=>[3,6,8,4,1,5,2,7]
[3,4,6,5,1,2,7,8]=>[8,7,2,1,5,6,4,3]
[1,2,7,4,5,8,6,3]=>[3,6,8,5,4,7,2,1]
[1,5,3,6,8,4,2,7]=>[7,2,4,8,6,3,5,1]
[7,5,4,3,8,6,2,1]=>[1,2,6,8,3,4,5,7]
[6,7,5,1,3,4,2,8]=>[8,2,4,3,1,5,7,6]
[4,3,8,2,6,7,5,1]=>[1,5,7,6,2,8,3,4]
[4,3,8,2,5,7,1,6]=>[6,1,7,5,2,8,3,4]
[5,7,4,3,6,1,2,8]=>[8,2,1,6,3,4,7,5]
[1,4,3,8,7,6,2,5]=>[5,2,6,7,8,3,4,1]
[4,1,6,2,5,3,7,8]=>[8,7,3,5,2,6,1,4]
[5,1,8,6,4,7,2,3]=>[3,2,7,4,6,8,1,5]
[4,1,8,5,6,3,7,2]=>[2,7,3,6,5,8,1,4]
[4,2,6,1,5,3,8,7]=>[7,8,3,5,1,6,2,4]
[6,7,2,3,1,5,8,4]=>[4,8,5,1,3,2,7,6]
[1,5,2,3,8,6,4,7]=>[7,4,6,8,3,2,5,1]
[7,5,2,3,8,1,6,4]=>[4,6,1,8,3,2,5,7]
[6,7,2,3,5,1,4,8]=>[8,4,1,5,3,2,7,6]
[5,2,7,8,6,1,3,4]=>[4,3,1,6,8,7,2,5]
[2,1,7,8,6,3,5,4]=>[4,5,3,6,8,7,1,2]
[6,5,2,3,8,1,7,4]=>[4,7,1,8,3,2,5,6]
[7,5,2,3,8,4,1,6]=>[6,1,4,8,3,2,5,7]
[8,7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7,8]
[4,5,1,7,6,3,8,2]=>[2,8,3,6,7,1,5,4]
[7,8,2,4,1,6,3,5]=>[5,3,6,1,4,2,8,7]
[6,7,1,5,4,8,2,3]=>[3,2,8,4,5,1,7,6]
[1,8,7,5,2,3,6,4]=>[4,6,3,2,5,7,8,1]
[8,1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1,8]
[8,6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6,8]
[4,5,1,6,2,8,7,3]=>[3,7,8,2,6,1,5,4]
[4,5,1,3,8,7,6,2]=>[2,6,7,8,3,1,5,4]
[4,8,3,6,1,7,2,5]=>[5,2,7,1,6,3,8,4]
[6,2,7,8,3,4,5,1]=>[1,5,4,3,8,7,2,6]
[8,5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5,8]
[1,2,4,6,8,5,7,3]=>[3,7,5,8,6,4,2,1]
[2,1,7,5,8,6,3,4]=>[4,3,6,8,5,7,1,2]
[4,7,3,8,6,5,2,1]=>[1,2,5,6,8,3,7,4]
[3,8,7,4,6,5,1,2]=>[2,1,5,6,4,7,8,3]
[7,3,8,4,6,5,1,2]=>[2,1,5,6,4,8,3,7]
[7,4,3,6,5,8,1,2]=>[2,1,8,5,6,3,4,7]
[4,5,8,7,2,6,1,3]=>[3,1,6,2,7,8,5,4]
[3,8,6,7,5,1,4,2]=>[2,4,1,5,7,6,8,3]
[4,2,7,6,5,8,3,1]=>[1,3,8,5,6,7,2,4]
[4,6,7,8,5,2,3,1]=>[1,3,2,5,8,7,6,4]
[4,5,3,8,2,7,6,1]=>[1,6,7,2,8,3,5,4]
[3,8,5,4,1,7,6,2]=>[2,6,7,1,4,5,8,3]
[6,4,7,2,5,8,3,1]=>[1,3,8,5,2,7,4,6]
[6,3,8,7,5,1,4,2]=>[2,4,1,5,7,8,3,6]
[5,3,6,4,1,2,8,7]=>[7,8,2,1,4,6,3,5]
[6,8,4,3,5,7,1,2]=>[2,1,7,5,3,4,8,6]
[5,2,4,8,7,6,1,3]=>[3,1,6,7,8,4,2,5]
[1,8,3,5,4,2,6,7]=>[7,6,2,4,5,3,8,1]
[1,8,2,5,4,3,6,7]=>[7,6,3,4,5,2,8,1]
[3,2,4,5,1,8,6,7]=>[7,6,8,1,5,4,2,3]
[3,2,4,8,5,1,7,6]=>[6,7,1,5,8,4,2,3]
[5,2,4,1,7,8,3,6]=>[6,3,8,7,1,4,2,5]
[4,2,5,1,7,8,3,6]=>[6,3,8,7,1,5,2,4]
[2,5,4,1,3,8,6,7]=>[7,6,8,3,1,4,5,2]
[2,5,1,4,8,3,6,7]=>[7,6,3,8,4,1,5,2]
[1,4,5,3,8,2,6,7]=>[7,6,2,8,3,5,4,1]
[5,1,8,2,4,3,6,7]=>[7,6,3,4,2,8,1,5]
[5,3,2,8,4,1,6,7]=>[7,6,1,4,8,2,3,5]
[4,8,2,1,5,3,6,7]=>[7,6,3,5,1,2,8,4]
[1,5,4,8,2,3,6,7]=>[7,6,3,2,8,4,5,1]
[3,5,1,4,7,8,2,6]=>[6,2,8,7,4,1,5,3]
[4,8,3,1,6,7,2,5]=>[5,2,7,6,1,3,8,4]
[3,4,8,2,6,5,7,1]=>[1,7,5,6,2,8,4,3]
[1,4,8,2,7,3,6,5]=>[5,6,3,7,2,8,4,1]
[1,8,7,2,5,3,6,4]=>[4,6,3,5,2,7,8,1]
[7,4,6,5,3,8,2,1]=>[1,2,8,3,5,6,4,7]
[3,6,2,4,8,7,1,5]=>[5,1,7,8,4,2,6,3]
[4,7,3,2,6,8,1,5]=>[5,1,8,6,2,3,7,4]
[7,3,4,6,8,1,2,5]=>[5,2,1,8,6,4,3,7]
[3,6,7,2,5,8,1,4]=>[4,1,8,5,2,7,6,3]
[1,5,6,8,3,7,2,4]=>[4,2,7,3,8,6,5,1]
[1,6,5,8,3,7,2,4]=>[4,2,7,3,8,5,6,1]
[8,6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6,8]
[7,8,4,6,3,1,5,2]=>[2,5,1,3,6,4,8,7]
[6,1,5,8,3,4,7,2]=>[2,7,4,3,8,5,1,6]
[5,6,8,1,3,4,7,2]=>[2,7,4,3,1,8,6,5]
[2,8,5,6,3,4,7,1]=>[1,7,4,3,6,5,8,2]
[6,8,1,3,5,4,7,2]=>[2,7,4,5,3,1,8,6]
[8,1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1,8]
[1,8,7,3,6,4,5,2]=>[2,5,4,6,3,7,8,1]
[7,4,2,8,3,6,5,1]=>[1,5,6,3,8,2,4,7]
[7,1,2,5,8,4,6,3]=>[3,6,4,8,5,2,1,7]
[2,8,1,4,7,3,6,5]=>[5,6,3,7,4,1,8,2]
[4,2,8,6,1,5,7,3]=>[3,7,5,1,6,8,2,4]
[6,2,4,8,1,7,3,5]=>[5,3,7,1,8,4,2,6]
[8,2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2,8]
[3,1,7,8,5,4,6,2]=>[2,6,4,5,8,7,1,3]
[1,6,2,7,4,8,5,3]=>[3,5,8,4,7,2,6,1]
[2,7,1,8,4,3,5,6]=>[6,5,3,4,8,1,7,2]
[6,7,1,8,3,2,4,5]=>[5,4,2,3,8,1,7,6]
[6,2,4,7,3,8,1,5]=>[5,1,8,3,7,4,2,6]
[8,3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3,8]
[6,8,2,3,7,1,5,4]=>[4,5,1,7,3,2,8,6]
[6,1,8,3,7,4,2,5]=>[5,2,4,7,3,8,1,6]
[1,5,8,3,6,7,2,4]=>[4,2,7,6,3,8,5,1]
[2,7,6,3,5,8,1,4]=>[4,1,8,5,3,6,7,2]
[2,7,5,6,8,1,3,4]=>[4,3,1,8,6,5,7,2]
[1,6,5,7,4,8,2,3]=>[3,2,8,4,7,5,6,1]
[7,6,2,8,1,5,3,4]=>[4,3,5,1,8,2,6,7]
[6,7,2,8,1,3,4,5]=>[5,4,3,1,8,2,7,6]
[5,1,6,8,7,2,3,4]=>[4,3,2,7,8,6,1,5]
[1,5,7,6,8,2,3,4]=>[4,3,2,8,6,7,5,1]
[3,5,6,1,4,2,8,7]=>[7,8,2,4,1,6,5,3]
[3,7,8,2,4,6,5,1]=>[1,5,6,4,2,8,7,3]
[7,4,6,8,5,3,1,2]=>[2,1,3,5,8,6,4,7]
[8,4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4,8]
[4,2,7,8,1,5,6,3]=>[3,6,5,1,8,7,2,4]
[2,1,5,7,8,3,6,4]=>[4,6,3,8,7,5,1,2]
[2,4,7,8,1,5,6,3]=>[3,6,5,1,8,7,4,2]
[2,6,3,5,7,8,4,1]=>[1,4,8,7,5,3,6,2]
[4,6,2,5,7,1,8,3]=>[3,8,1,7,5,2,6,4]
[5,1,6,7,3,8,2,4]=>[4,2,8,3,7,6,1,5]
[3,8,6,7,5,1,2,4]=>[4,2,1,5,7,6,8,3]
[4,7,5,8,6,3,1,2]=>[2,1,3,6,8,5,7,4]
[4,7,1,8,3,5,6,2]=>[2,6,5,3,8,1,7,4]
[1,6,8,3,2,5,4,7]=>[7,4,5,2,3,8,6,1]
[6,1,5,4,7,3,2,8]=>[8,2,3,7,4,5,1,6]
[6,1,5,2,3,7,4,8]=>[8,4,7,3,2,5,1,6]
[7,8,2,1,3,6,4,5]=>[5,4,6,3,1,2,8,7]
[7,8,5,1,3,2,6,4]=>[4,6,2,3,1,5,8,7]
[6,1,7,5,4,3,2,8]=>[8,2,3,4,5,7,1,6]
[5,1,6,8,2,3,7,4]=>[4,7,3,2,8,6,1,5]
[2,6,8,1,5,4,7,3]=>[3,7,4,5,1,8,6,2]
[1,5,4,7,6,2,8,3]=>[3,8,2,6,7,4,5,1]
[2,3,7,6,5,1,8,4]=>[4,8,1,5,6,7,3,2]
[7,5,2,1,6,4,3,8]=>[8,3,4,6,1,2,5,7]
[5,7,2,4,3,1,8,6]=>[6,8,1,3,4,2,7,5]
[6,7,1,3,4,2,8,5]=>[5,8,2,4,3,1,7,6]
[4,3,5,8,6,7,1,2]=>[2,1,7,6,8,5,3,4]
[6,1,5,8,3,2,7,4]=>[4,7,2,3,8,5,1,6]
[3,1,2,4,8,5,7,6]=>[6,7,5,8,4,2,1,3]
[2,5,8,4,6,3,1,7]=>[7,1,3,6,4,8,5,2]
[3,2,5,8,4,1,6,7]=>[7,6,1,4,8,5,2,3]
[1,4,5,8,7,3,2,6]=>[6,2,3,7,8,5,4,1]
[7,1,5,4,8,3,2,6]=>[6,2,3,8,4,5,1,7]
[6,4,1,7,5,3,2,8]=>[8,2,3,5,7,1,4,6]
[5,2,7,4,6,3,1,8]=>[8,1,3,6,4,7,2,5]
[2,7,1,5,3,8,4,6]=>[6,4,8,3,5,1,7,2]
[2,7,6,4,8,1,5,3]=>[3,5,1,8,4,6,7,2]
[7,2,5,4,8,1,6,3]=>[3,6,1,8,4,5,2,7]
[1,7,2,5,3,8,6,4]=>[4,6,8,3,5,2,7,1]
[7,2,1,4,3,8,5,6]=>[6,5,8,3,4,1,2,7]
[5,4,2,1,3,8,6,7]=>[7,6,8,3,1,2,4,5]
[6,1,4,2,3,8,7,5]=>[5,7,8,3,2,4,1,6]
[7,1,6,5,3,2,8,4]=>[4,8,2,3,5,6,1,7]
[7,2,3,8,6,1,5,4]=>[4,5,1,6,8,3,2,7]
[7,2,3,8,6,1,4,5]=>[5,4,1,6,8,3,2,7]
[6,2,4,8,1,3,7,5]=>[5,7,3,1,8,4,2,6]
[7,3,2,8,4,1,6,5]=>[5,6,1,4,8,2,3,7]
[7,3,2,5,8,1,6,4]=>[4,6,1,8,5,2,3,7]
[7,8,3,2,6,1,5,4]=>[4,5,1,6,2,3,8,7]
[7,3,2,8,4,1,5,6]=>[6,5,1,4,8,2,3,7]
[6,3,4,8,1,5,2,7]=>[7,2,5,1,8,4,3,6]
[6,3,4,8,1,5,7,2]=>[2,7,5,1,8,4,3,6]
[5,3,8,4,1,2,6,7]=>[7,6,2,1,4,8,3,5]
[2,4,8,3,7,1,5,6]=>[6,5,1,7,3,8,4,2]
[5,2,8,4,1,6,3,7]=>[7,3,6,1,4,8,2,5]
[7,6,5,2,1,8,3,4]=>[4,3,8,1,2,5,6,7]
[7,6,5,2,1,8,4,3]=>[3,4,8,1,2,5,6,7]
[2,7,5,1,8,3,6,4]=>[4,6,3,8,1,5,7,2]
[5,1,8,7,4,3,6,2]=>[2,6,3,4,7,8,1,5]
[3,8,7,2,4,6,1,5]=>[5,1,6,4,2,7,8,3]
[5,7,1,3,2,4,8,6]=>[6,8,4,2,3,1,7,5]
[4,2,7,6,3,5,8,1]=>[1,8,5,3,6,7,2,4]
[8,4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4,8]
[8,1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1,8]
[6,5,1,3,8,7,4,2]=>[2,4,7,8,3,1,5,6]
[4,7,8,3,2,5,1,6]=>[6,1,5,2,3,8,7,4]
[6,1,8,5,3,7,2,4]=>[4,2,7,3,5,8,1,6]
[5,1,6,8,3,7,4,2]=>[2,4,7,3,8,6,1,5]
[8,6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6,8]
[7,6,4,1,3,5,8,2]=>[2,8,5,3,1,4,6,7]
[8,2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2,8]
[2,8,3,7,1,4,5,6]=>[6,5,4,1,7,3,8,2]
[5,6,2,7,4,3,1,8]=>[8,1,3,4,7,2,6,5]
[8,6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6,8]
[3,4,7,6,2,5,1,8]=>[8,1,5,2,6,7,4,3]
[3,4,7,5,2,6,1,8]=>[8,1,6,2,5,7,4,3]
[3,4,7,2,5,6,1,8]=>[8,1,6,5,2,7,4,3]
[3,7,8,2,6,1,4,5]=>[5,4,1,6,2,8,7,3]
[3,7,8,5,2,1,4,6]=>[6,4,1,2,5,8,7,3]
[6,8,4,7,3,1,2,5]=>[5,2,1,3,7,4,8,6]
[3,2,7,8,4,1,5,6]=>[6,5,1,4,8,7,2,3]
[6,8,4,7,3,1,5,2]=>[2,5,1,3,7,4,8,6]
[3,7,8,2,6,1,5,4]=>[4,5,1,6,2,8,7,3]
[4,8,6,2,1,7,5,3]=>[3,5,7,1,2,6,8,4]
[4,7,6,2,1,5,8,3]=>[3,8,5,1,2,6,7,4]
[4,7,6,2,1,5,3,8]=>[8,3,5,1,2,6,7,4]
[4,8,6,5,1,2,7,3]=>[3,7,2,1,5,6,8,4]
[7,5,4,6,1,8,3,2]=>[2,3,8,1,6,4,5,7]
[7,5,4,6,1,8,2,3]=>[3,2,8,1,6,4,5,7]
[4,8,6,5,1,2,3,7]=>[7,3,2,1,5,6,8,4]
[3,4,5,1,8,6,2,7]=>[7,2,6,8,1,5,4,3]
[3,4,5,1,7,8,6,2]=>[2,6,8,7,1,5,4,3]
[3,4,5,1,7,6,8,2]=>[2,8,6,7,1,5,4,3]
[3,8,7,6,5,1,2,4]=>[4,2,1,5,6,7,8,3]
[8,4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4,8]
[5,7,2,6,1,8,4,3]=>[3,4,8,1,6,2,7,5]
[5,7,2,6,1,3,8,4]=>[4,8,3,1,6,2,7,5]
[5,8,2,6,1,4,7,3]=>[3,7,4,1,6,2,8,5]
[7,4,6,8,1,3,2,5]=>[5,2,3,1,8,6,4,7]
[7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]
[3,8,7,5,6,1,4,2]=>[2,4,1,6,5,7,8,3]
[6,8,4,7,2,1,5,3]=>[3,5,1,2,7,4,8,6]
[3,2,5,6,1,7,4,8]=>[8,4,7,1,6,5,2,3]
[8,4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4,8]
[3,4,5,1,7,6,2,8]=>[8,2,6,7,1,5,4,3]
[8,5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5,8]
[3,2,5,6,1,4,8,7]=>[7,8,4,1,6,5,2,3]
[8,5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5,8]
[1,7,3,4,5,2,8,6]=>[6,8,2,5,4,3,7,1]
[4,8,2,1,3,5,6,7]=>[7,6,5,3,1,2,8,4]
[1,7,2,5,4,3,8,6]=>[6,8,3,4,5,2,7,1]
[2,6,7,3,4,8,1,5]=>[5,1,8,4,3,7,6,2]
[2,1,5,7,4,3,8,6]=>[6,8,3,4,7,5,1,2]
[4,1,8,7,5,6,2,3]=>[3,2,6,5,7,8,1,4]
[1,5,8,7,4,3,6,2]=>[2,6,3,4,7,8,5,1]
[6,4,1,3,8,7,5,2]=>[2,5,7,8,3,1,4,6]
[2,1,7,4,6,8,3,5]=>[5,3,8,6,4,7,1,2]
[1,7,2,4,6,8,3,5]=>[5,3,8,6,4,2,7,1]
[8,6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6,8]
[7,4,6,1,2,3,8,5]=>[5,8,3,2,1,6,4,7]
[1,8,6,2,7,3,5,4]=>[4,5,3,7,2,6,8,1]
[1,7,8,6,2,3,5,4]=>[4,5,3,2,6,8,7,1]
[2,1,8,3,5,7,6,4]=>[4,6,7,5,3,8,1,2]
[3,5,8,1,7,6,2,4]=>[4,2,6,7,1,8,5,3]
[2,8,1,3,6,7,5,4]=>[4,5,7,6,3,1,8,2]
[7,2,4,8,6,1,5,3]=>[3,5,1,6,8,4,2,7]
[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]
[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]
[6,2,4,3,8,1,7,5]=>[5,7,1,8,3,4,2,6]
[5,7,4,3,1,6,2,8]=>[8,2,6,1,3,4,7,5]
[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]
[4,2,8,1,5,7,6,3]=>[3,6,7,5,1,8,2,4]
[8,3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3,8]
[6,3,7,2,5,4,8,1]=>[1,8,4,5,2,7,3,6]
[5,4,7,3,2,6,8,1]=>[1,8,6,2,3,7,4,5]
[3,7,6,4,2,5,8,1]=>[1,8,5,2,4,6,7,3]
[5,7,2,6,3,4,8,1]=>[1,8,4,3,6,2,7,5]
[3,7,5,4,6,2,8,1]=>[1,8,2,6,4,5,7,3]
[2,7,5,4,6,8,3,1]=>[1,3,8,6,4,5,7,2]
[8,2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2,8]
[3,7,5,4,2,8,6,1]=>[1,6,8,2,4,5,7,3]
[5,7,2,3,6,8,4,1]=>[1,4,8,6,3,2,7,5]
[3,7,2,6,5,8,4,1]=>[1,4,8,5,6,2,7,3]
[5,4,2,7,6,8,3,1]=>[1,3,8,6,7,2,4,5]
[5,8,1,7,3,4,2,6]=>[6,2,4,3,7,1,8,5]
[6,8,3,2,1,7,4,5]=>[5,4,7,1,2,3,8,6]
[4,8,5,1,7,3,2,6]=>[6,2,3,7,1,5,8,4]
[4,8,1,7,5,3,2,6]=>[6,2,3,5,7,1,8,4]
[5,4,8,2,6,3,1,7]=>[7,1,3,6,2,8,4,5]
[3,7,6,2,8,1,5,4]=>[4,5,1,8,2,6,7,3]
[7,5,2,8,1,3,6,4]=>[4,6,3,1,8,2,5,7]
[5,4,3,7,2,8,6,1]=>[1,6,8,2,7,3,4,5]
[4,3,7,6,2,8,5,1]=>[1,5,8,2,6,7,3,4]
[6,3,2,5,8,7,4,1]=>[1,4,7,8,5,2,3,6]
[7,3,5,2,8,1,6,4]=>[4,6,1,8,2,5,3,7]
[8,3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3,8]
[8,4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4,8]
[3,6,5,2,8,7,4,1]=>[1,4,7,8,2,5,6,3]
[3,6,5,7,2,8,4,1]=>[1,4,8,2,7,5,6,3]
[4,6,5,3,8,2,1,7]=>[7,1,2,8,3,5,6,4]
[2,6,5,8,7,3,1,4]=>[4,1,3,7,8,5,6,2]
[2,6,5,8,4,3,7,1]=>[1,7,3,4,8,5,6,2]
[8,2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2,8]
[6,3,8,4,1,7,2,5]=>[5,2,7,1,4,8,3,6]
[7,2,8,1,6,4,3,5]=>[5,3,4,6,1,8,2,7]
[3,2,8,7,6,4,1,5]=>[5,1,4,6,7,8,2,3]
[5,4,2,8,7,3,1,6]=>[6,1,3,7,8,2,4,5]
[3,6,8,5,1,7,2,4]=>[4,2,7,1,5,8,6,3]
[8,2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2,8]
[3,7,2,8,5,4,6,1]=>[1,6,4,5,8,2,7,3]
[5,4,2,8,6,3,7,1]=>[1,7,3,6,8,2,4,5]
[2,8,7,5,3,1,4,6]=>[6,4,1,3,5,7,8,2]
[2,5,6,3,1,4,8,7]=>[7,8,4,1,3,6,5,2]
[2,4,7,8,5,3,1,6]=>[6,1,3,5,8,7,4,2]
[2,4,3,7,8,5,1,6]=>[6,1,5,8,7,3,4,2]
[6,3,4,5,1,2,8,7]=>[7,8,2,1,5,4,3,6]
[6,5,3,2,4,1,8,7]=>[7,8,1,4,2,3,5,6]
[6,5,8,7,3,2,4,1]=>[1,4,2,3,7,8,5,6]
[6,3,2,4,1,7,8,5]=>[5,8,7,1,4,2,3,6]
[2,1,4,7,8,5,3,6]=>[6,3,5,8,7,4,1,2]
[8,3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3,8]
[8,3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3,8]
[8,5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5,8]
[8,7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7,8]
[4,8,7,5,3,2,6,1]=>[1,6,2,3,5,7,8,4]
[4,7,8,5,3,1,6,2]=>[2,6,1,3,5,8,7,4]
[8,5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5,8]
[8,3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3,8]
[8,5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5,8]
[8,5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5,8]
[6,1,4,3,7,8,2,5]=>[5,2,8,7,3,4,1,6]
[6,3,4,7,8,1,2,5]=>[5,2,1,8,7,4,3,6]
[7,3,6,5,8,1,2,4]=>[4,2,1,8,5,6,3,7]
[6,5,3,2,4,8,7,1]=>[1,7,8,4,2,3,5,6]
[2,5,7,1,6,8,3,4]=>[4,3,8,6,1,7,5,2]
[6,1,2,7,5,8,3,4]=>[4,3,8,5,7,2,1,6]
[7,1,2,4,6,8,3,5]=>[5,3,8,6,4,2,1,7]
[3,7,1,2,4,6,8,5]=>[5,8,6,4,2,1,7,3]
[2,4,1,7,3,6,8,5]=>[5,8,6,3,7,1,4,2]
[2,4,3,6,1,7,8,5]=>[5,8,7,1,6,3,4,2]
[2,7,3,1,4,6,8,5]=>[5,8,6,4,1,3,7,2]
[2,8,3,1,6,5,7,4]=>[4,7,5,6,1,3,8,2]
[2,8,5,6,7,3,1,4]=>[4,1,3,7,6,5,8,2]
[2,7,8,5,3,1,6,4]=>[4,6,1,3,5,8,7,2]
[8,2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2,8]
[5,8,1,6,2,4,7,3]=>[3,7,4,2,6,1,8,5]
[3,8,5,6,7,1,2,4]=>[4,2,1,7,6,5,8,3]
[6,5,1,2,8,4,7,3]=>[3,7,4,8,2,1,5,6]
[6,1,2,4,8,5,7,3]=>[3,7,5,8,4,2,1,6]
[2,5,8,1,4,6,7,3]=>[3,7,6,4,1,8,5,2]
[2,4,5,8,7,3,6,1]=>[1,6,3,7,8,5,4,2]
[7,1,4,2,6,8,5,3]=>[3,5,8,6,2,4,1,7]
[7,1,8,5,2,4,6,3]=>[3,6,4,2,5,8,1,7]
[2,1,8,7,5,4,6,3]=>[3,6,4,5,7,8,1,2]
[4,8,1,7,5,3,6,2]=>[2,6,3,5,7,1,8,4]
[8,1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1,8]
[8,1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1,8]
[7,8,3,4,1,6,5,2]=>[2,5,6,1,4,3,8,7]
[8,7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7,8]
[8,4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4,8]
[4,7,2,8,6,3,1,5]=>[5,1,3,6,8,2,7,4]
[4,7,5,2,3,8,1,6]=>[6,1,8,3,2,5,7,4]
[6,4,7,5,2,8,3,1]=>[1,3,8,2,5,7,4,6]
[7,5,1,3,6,4,8,2]=>[2,8,4,6,3,1,5,7]
[6,5,2,3,7,8,4,1]=>[1,4,8,7,3,2,5,6]
[7,2,6,3,1,5,8,4]=>[4,8,5,1,3,6,2,7]
[4,6,3,8,7,5,1,2]=>[2,1,5,7,8,3,6,4]
[2,8,4,1,5,7,6,3]=>[3,6,7,5,1,4,8,2]
[1,8,4,2,5,7,6,3]=>[3,6,7,5,2,4,8,1]
[2,8,5,4,1,7,6,3]=>[3,6,7,1,4,5,8,2]
[2,5,8,3,7,1,6,4]=>[4,6,1,7,3,8,5,2]
[1,8,5,2,4,7,6,3]=>[3,6,7,4,2,5,8,1]
[1,4,6,2,8,7,5,3]=>[3,5,7,8,2,6,4,1]
[7,8,2,4,1,6,5,3]=>[3,5,6,1,4,2,8,7]
[2,4,6,1,8,7,5,3]=>[3,5,7,8,1,6,4,2]
[2,8,4,5,1,7,6,3]=>[3,6,7,1,5,4,8,2]
[3,5,8,2,7,6,1,4]=>[4,1,6,7,2,8,5,3]
[2,1,6,8,7,5,3,4]=>[4,3,5,7,8,6,1,2]
[1,8,2,4,5,7,6,3]=>[3,6,7,5,4,2,8,1]
[1,2,8,3,5,7,6,4]=>[4,6,7,5,3,8,2,1]
[1,3,8,2,5,7,6,4]=>[4,6,7,5,2,8,3,1]
[2,3,8,1,5,7,6,4]=>[4,6,7,5,1,8,3,2]
[2,6,1,8,7,5,3,4]=>[4,3,5,7,8,1,6,2]
[1,6,2,8,7,5,3,4]=>[4,3,5,7,8,2,6,1]
[1,6,3,8,7,5,2,4]=>[4,2,5,7,8,3,6,1]
[2,6,3,8,7,5,1,4]=>[4,1,5,7,8,3,6,2]
[3,2,8,1,5,7,6,4]=>[4,6,7,5,1,8,2,3]
[3,1,8,2,5,7,6,4]=>[4,6,7,5,2,8,1,3]
[2,8,1,4,5,7,6,3]=>[3,6,7,5,4,1,8,2]
[7,8,2,1,4,6,5,3]=>[3,5,6,4,1,2,8,7]
[2,3,6,8,7,5,1,4]=>[4,1,5,7,8,6,3,2]
[3,1,6,8,7,2,5,4]=>[4,5,2,7,8,6,1,3]
[3,8,4,5,1,6,2,7]=>[7,2,6,1,5,4,8,3]
[6,1,4,5,7,2,3,8]=>[8,3,2,7,5,4,1,6]
[8,1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1,8]
[8,3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3,8]
[5,3,8,6,2,7,1,4]=>[4,1,7,2,6,8,3,5]
[8,3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3,8]
[8,4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4,8]
[1,8,5,3,7,2,4,6]=>[6,4,2,7,3,5,8,1]
[6,8,1,4,5,2,3,7]=>[7,3,2,5,4,1,8,6]
[1,5,8,4,6,2,3,7]=>[7,3,2,6,4,8,5,1]
[2,1,6,5,3,8,4,7]=>[7,4,8,3,5,6,1,2]
[1,4,6,8,5,2,3,7]=>[7,3,2,5,8,6,4,1]
[5,6,8,1,4,2,3,7]=>[7,3,2,4,1,8,6,5]
[5,7,4,8,1,2,3,6]=>[6,3,2,1,8,4,7,5]
[1,5,4,7,2,3,8,6]=>[6,8,3,2,7,4,5,1]
[4,7,5,1,8,2,3,6]=>[6,3,2,8,1,5,7,4]
[5,3,7,1,2,4,8,6]=>[6,8,4,2,1,7,3,5]
[8,2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2,8]
[4,7,8,1,2,6,3,5]=>[5,3,6,2,1,8,7,4]
[8,7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7,8]
[1,6,5,8,7,2,3,4]=>[4,3,2,7,8,5,6,1]
[8,6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6,8]
[7,2,1,3,6,4,8,5]=>[5,8,4,6,3,1,2,7]
[3,7,1,6,2,4,8,5]=>[5,8,4,2,6,1,7,3]
[5,1,2,7,6,8,3,4]=>[4,3,8,6,7,2,1,5]
[6,1,7,2,5,8,3,4]=>[4,3,8,5,2,7,1,6]
[1,7,6,5,8,2,3,4]=>[4,3,2,8,5,6,7,1]
[1,6,8,5,7,2,3,4]=>[4,3,2,7,5,8,6,1]
[7,5,1,2,6,8,3,4]=>[4,3,8,6,2,1,5,7]
[6,1,5,2,7,8,3,4]=>[4,3,8,7,2,5,1,6]
[1,6,3,8,7,2,4,5]=>[5,4,2,7,8,3,6,1]
[1,7,3,2,4,6,8,5]=>[5,8,6,4,2,3,7,1]
[8,3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3,8]
[4,1,8,3,2,7,5,6]=>[6,5,7,2,3,8,1,4]
[3,1,2,7,8,4,6,5]=>[5,6,4,8,7,2,1,3]
[3,8,1,2,7,6,4,5]=>[5,4,6,7,2,1,8,3]
[7,1,4,8,2,6,3,5]=>[5,3,6,2,8,4,1,7]
[5,1,2,6,8,7,3,4]=>[4,3,7,8,6,2,1,5]
[1,8,6,2,5,7,3,4]=>[4,3,7,5,2,6,8,1]
[5,7,8,1,2,6,3,4]=>[4,3,6,2,1,8,7,5]
[8,1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1,8]
[7,1,6,8,5,2,3,4]=>[4,3,2,5,8,6,1,7]
[3,7,1,2,8,4,6,5]=>[5,6,4,8,2,1,7,3]
[7,2,1,8,3,4,6,5]=>[5,6,4,3,8,1,2,7]
[8,3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3,8]
[1,5,8,7,6,2,3,4]=>[4,3,2,6,7,8,5,1]
[7,8,6,1,5,2,3,4]=>[4,3,2,5,1,6,8,7]
[7,8,6,3,1,5,2,4]=>[4,2,5,1,3,6,8,7]
[7,8,1,3,4,5,2,6]=>[6,2,5,4,3,1,8,7]
[1,7,4,8,2,5,3,6]=>[6,3,5,2,8,4,7,1]
[3,8,6,1,4,2,7,5]=>[5,7,2,4,1,6,8,3]
[7,1,8,2,4,6,3,5]=>[5,3,6,4,2,8,1,7]
[7,6,8,4,1,5,3,2]=>[2,3,5,1,4,8,6,7]
[7,3,2,8,1,5,4,6]=>[6,4,5,1,8,2,3,7]
[3,5,4,1,7,2,6,8]=>[8,6,2,7,1,4,5,3]
[6,4,7,3,2,5,1,8]=>[8,1,5,2,3,7,4,6]
[7,6,5,3,8,4,1,2]=>[2,1,4,8,3,5,6,7]
[6,4,5,7,8,1,3,2]=>[2,3,1,8,7,5,4,6]
[3,7,4,1,6,8,5,2]=>[2,5,8,6,1,4,7,3]
[3,1,2,7,6,8,5,4]=>[4,5,8,6,7,2,1,3]
[6,3,2,8,4,5,1,7]=>[7,1,5,4,8,2,3,6]
[6,1,8,3,5,4,2,7]=>[7,2,4,5,3,8,1,6]
[3,8,5,2,4,6,1,7]=>[7,1,6,4,2,5,8,3]
[1,6,4,8,3,5,2,7]=>[7,2,5,3,8,4,6,1]
[1,5,4,8,6,3,7,2]=>[2,7,3,6,8,4,5,1]
[4,8,2,5,3,7,1,6]=>[6,1,7,3,5,2,8,4]
[3,8,4,5,2,6,7,1]=>[1,7,6,2,5,4,8,3]
[4,1,8,6,5,3,7,2]=>[2,7,3,5,6,8,1,4]
[5,7,8,4,6,3,2,1]=>[1,2,3,6,4,8,7,5]
[5,3,2,8,6,4,7,1]=>[1,7,4,6,8,2,3,5]
[6,8,1,2,7,4,3,5]=>[5,3,4,7,2,1,8,6]
[5,8,7,3,6,2,4,1]=>[1,4,2,6,3,7,8,5]
[7,5,2,3,4,8,6,1]=>[1,6,8,4,3,2,5,7]
[7,3,5,4,2,8,6,1]=>[1,6,8,2,4,5,3,7]
[5,6,1,3,2,4,7,8]=>[8,7,4,2,3,1,6,5]
[2,5,1,3,7,8,6,4]=>[4,6,8,7,3,1,5,2]
[4,3,7,2,1,8,6,5]=>[5,6,8,1,2,7,3,4]
[4,6,7,2,1,3,5,8]=>[8,5,3,1,2,7,6,4]
[4,6,2,3,1,5,7,8]=>[8,7,5,1,3,2,6,4]
[3,6,4,2,5,1,7,8]=>[8,7,1,5,2,4,6,3]
[3,1,6,4,7,5,2,8]=>[8,2,5,7,4,6,1,3]
[3,6,2,7,5,4,1,8]=>[8,1,4,5,7,2,6,3]
[2,4,7,5,3,6,1,8]=>[8,1,6,3,5,7,4,2]
[2,5,7,3,4,1,6,8]=>[8,6,1,4,3,7,5,2]
[2,3,5,8,6,4,7,1]=>[1,7,4,6,8,5,3,2]
[2,4,7,3,8,6,5,1]=>[1,5,6,8,3,7,4,2]
[3,4,2,7,5,8,6,1]=>[1,6,8,5,7,2,4,3]
[3,1,5,4,7,8,6,2]=>[2,6,8,7,4,5,1,3]
[4,5,7,2,3,1,8,6]=>[6,8,1,3,2,7,5,4]
[3,7,8,1,4,6,5,2]=>[2,5,6,4,1,8,7,3]
[2,5,8,7,4,1,3,6]=>[6,3,1,4,7,8,5,2]
[2,6,4,7,5,3,8,1]=>[1,8,3,5,7,4,6,2]
[6,2,4,7,1,3,8,5]=>[5,8,3,1,7,4,2,6]
[7,3,5,1,4,2,8,6]=>[6,8,2,4,1,5,3,7]
[5,4,7,1,3,2,8,6]=>[6,8,2,3,1,7,4,5]
[6,1,4,7,5,3,8,2]=>[2,8,3,5,7,4,1,6]
[8,7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7,8]
[8,7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7,8]
[6,1,8,4,7,3,2,5]=>[5,2,3,7,4,8,1,6]
[4,7,3,6,1,2,8,5]=>[5,8,2,1,6,3,7,4]
[5,2,1,7,4,3,8,6]=>[6,8,3,4,7,1,2,5]
[4,7,6,2,3,1,8,5]=>[5,8,1,3,2,6,7,4]
[7,6,8,2,5,3,4,1]=>[1,4,3,5,2,8,6,7]
[2,3,6,1,8,7,5,4]=>[4,5,7,8,1,6,3,2]
[2,6,8,7,5,3,1,4]=>[4,1,3,5,7,8,6,2]
[6,4,1,7,5,2,8,3]=>[3,8,2,5,7,1,4,6]
[5,7,8,2,3,6,1,4]=>[4,1,6,3,2,8,7,5]
[4,8,7,1,2,5,6,3]=>[3,6,5,2,1,7,8,4]
[2,8,7,4,1,5,6,3]=>[3,6,5,1,4,7,8,2]
[8,6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6,8]
[3,8,6,7,5,2,1,4]=>[4,1,2,5,7,6,8,3]
[6,1,3,7,5,8,2,4]=>[4,2,8,5,7,3,1,6]
[4,7,3,1,8,5,6,2]=>[2,6,5,8,1,3,7,4]
[2,6,7,5,3,4,8,1]=>[1,8,4,3,5,7,6,2]
[2,6,4,5,7,3,8,1]=>[1,8,3,7,5,4,6,2]
[6,1,4,5,8,3,7,2]=>[2,7,3,8,5,4,1,6]
[6,1,8,5,3,4,7,2]=>[2,7,4,3,5,8,1,6]
[4,1,5,6,8,3,7,2]=>[2,7,3,8,6,5,1,4]
[5,4,7,1,8,6,2,3]=>[3,2,6,8,1,7,4,5]
[6,4,1,8,7,2,5,3]=>[3,5,2,7,8,1,4,6]
[4,5,7,2,6,8,1,3]=>[3,1,8,6,2,7,5,4]
[2,8,5,4,1,7,3,6]=>[6,3,7,1,4,5,8,2]
[3,2,8,5,1,7,4,6]=>[6,4,7,1,5,8,2,3]
[1,3,8,5,2,7,4,6]=>[6,4,7,2,5,8,3,1]
[1,3,8,6,7,2,4,5]=>[5,4,2,7,6,8,3,1]
[2,8,3,6,7,1,4,5]=>[5,4,1,7,6,3,8,2]
[2,8,5,6,1,3,7,4]=>[4,7,3,1,6,5,8,2]
[2,8,3,7,6,1,4,5]=>[5,4,1,6,7,3,8,2]
[2,8,7,4,6,1,3,5]=>[5,3,1,6,4,7,8,2]
[3,7,8,4,6,1,2,5]=>[5,2,1,6,4,8,7,3]
[4,7,3,8,6,1,2,5]=>[5,2,1,6,8,3,7,4]
[4,2,7,8,6,1,3,5]=>[5,3,1,6,8,7,2,4]
[3,7,8,6,5,1,4,2]=>[2,4,1,5,6,8,7,3]
[6,3,8,5,2,4,7,1]=>[1,7,4,2,5,8,3,6]
[7,3,8,6,5,2,4,1]=>[1,4,2,5,6,8,3,7]
[1,3,8,7,6,2,4,5]=>[5,4,2,6,7,8,3,1]
[1,4,7,8,6,2,3,5]=>[5,3,2,6,8,7,4,1]
[1,7,5,6,8,2,3,4]=>[4,3,2,8,6,5,7,1]
[7,4,6,8,5,2,3,1]=>[1,3,2,5,8,6,4,7]
[7,4,5,8,2,6,3,1]=>[1,3,6,2,8,5,4,7]
[4,6,5,8,1,3,7,2]=>[2,7,3,1,8,5,6,4]
[5,7,6,4,8,1,3,2]=>[2,3,1,8,4,6,7,5]
[7,5,3,6,8,2,1,4]=>[4,1,2,8,6,3,5,7]
[5,2,6,7,8,1,3,4]=>[4,3,1,8,7,6,2,5]
[4,5,7,8,1,6,2,3]=>[3,2,6,1,8,7,5,4]
[4,5,6,8,1,2,7,3]=>[3,7,2,1,8,6,5,4]
[3,5,8,6,1,2,7,4]=>[4,7,2,1,6,8,5,3]
[3,6,8,7,5,1,2,4]=>[4,2,1,5,7,8,6,3]
[3,6,8,4,7,1,2,5]=>[5,2,1,7,4,8,6,3]
[4,2,6,8,7,1,3,5]=>[5,3,1,7,8,6,2,4]
[1,4,6,8,7,2,3,5]=>[5,3,2,7,8,6,4,1]
[4,5,3,8,1,7,2,6]=>[6,2,7,1,8,3,5,4]
[3,5,8,4,1,7,2,6]=>[6,2,7,1,4,8,5,3]
[3,4,8,1,5,7,2,6]=>[6,2,7,5,1,8,4,3]
[5,3,8,4,2,7,1,6]=>[6,1,7,2,4,8,3,5]
[5,2,4,8,1,7,3,6]=>[6,3,7,1,8,4,2,5]
[5,3,8,7,2,6,1,4]=>[4,1,6,2,7,8,3,5]
[5,3,8,6,2,1,7,4]=>[4,7,1,2,6,8,3,5]
[1,6,5,7,8,2,3,4]=>[4,3,2,8,7,5,6,1]
[6,7,3,5,8,2,1,4]=>[4,1,2,8,5,3,7,6]
[6,7,4,8,5,2,3,1]=>[1,3,2,5,8,4,7,6]
[5,6,4,8,2,3,7,1]=>[1,7,3,2,8,4,6,5]
[6,5,4,8,1,3,7,2]=>[2,7,3,1,8,4,5,6]
[7,6,4,8,5,1,3,2]=>[2,3,1,5,8,4,6,7]
[6,2,7,5,8,1,3,4]=>[4,3,1,8,5,7,2,6]
[7,2,6,5,8,1,3,4]=>[4,3,1,8,5,6,2,7]
[7,2,6,4,1,3,5,8]=>[8,5,3,1,4,6,2,7]
[7,1,3,4,6,2,5,8]=>[8,5,2,6,4,3,1,7]
[7,3,6,5,2,4,1,8]=>[8,1,4,2,5,6,3,7]
[6,3,7,5,2,4,8,1]=>[1,8,4,2,5,7,3,6]
[8,1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1,8]
[2,5,7,4,6,1,3,8]=>[8,3,1,6,4,7,5,2]
[8,5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5,8]
[4,6,8,3,1,2,7,5]=>[5,7,2,1,3,8,6,4]
[6,1,7,4,5,3,8,2]=>[2,8,3,5,4,7,1,6]
[8,5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5,8]
[8,2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2,8]
[8,2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2,8]
[2,6,4,8,3,1,7,5]=>[5,7,1,3,8,4,6,2]
[8,1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1,8]
[3,8,2,6,1,4,7,5]=>[5,7,4,1,6,2,8,3]
[1,6,4,7,5,8,3,2]=>[2,3,8,5,7,4,6,1]
[1,6,8,5,7,3,2,4]=>[4,2,3,7,5,8,6,1]
[1,2,5,3,8,6,7,4]=>[4,7,6,8,3,5,2,1]
[6,3,5,7,8,1,2,4]=>[4,2,1,8,7,5,3,6]
[4,1,6,5,7,8,2,3]=>[3,2,8,7,5,6,1,4]
[3,8,1,2,6,4,7,5]=>[5,7,4,6,2,1,8,3]
[6,1,3,7,4,2,8,5]=>[5,8,2,4,7,3,1,6]
[6,7,2,4,1,3,8,5]=>[5,8,3,1,4,2,7,6]
[8,7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7,8]
[7,8,4,6,3,2,5,1]=>[1,5,2,3,6,4,8,7]
[8,7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7,8]
[7,3,8,4,2,6,5,1]=>[1,5,6,2,4,8,3,7]
[8,5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5,8]
[8,1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1,8]
[8,4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4,8]
[8,4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4,8]
[4,8,2,6,1,3,7,5]=>[5,7,3,1,6,2,8,4]
[3,4,1,6,8,2,7,5]=>[5,7,2,8,6,1,4,3]
[1,3,8,2,5,6,7,4]=>[4,7,6,5,2,8,3,1]
[3,7,8,2,5,6,4,1]=>[1,4,6,5,2,8,7,3]
[8,1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1,8]
[1,8,6,7,2,5,4,3]=>[3,4,5,2,7,6,8,1]
[7,6,8,3,5,4,2,1]=>[1,2,4,5,3,8,6,7]
[1,6,7,3,8,5,4,2]=>[2,4,5,8,3,7,6,1]
[7,3,4,8,1,6,5,2]=>[2,5,6,1,8,4,3,7]
[7,8,4,6,2,1,5,3]=>[3,5,1,2,6,4,8,7]
[8,7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7,8]
[8,7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7,8]
[2,8,6,7,1,5,4,3]=>[3,4,5,1,7,6,8,2]
[7,8,6,5,2,4,3,1]=>[1,3,4,2,5,6,8,7]
[3,6,7,5,2,8,4,1]=>[1,4,8,2,5,7,6,3]
[5,4,6,7,8,1,3,2]=>[2,3,1,8,7,6,4,5]
[5,3,6,7,8,1,4,2]=>[2,4,1,8,7,6,3,5]
[5,3,7,6,8,4,1,2]=>[2,1,4,8,6,7,3,5]
[6,3,7,5,4,8,2,1]=>[1,2,8,4,5,7,3,6]
[5,3,7,6,4,8,1,2]=>[2,1,8,4,6,7,3,5]
[7,5,3,2,8,6,4,1]=>[1,4,6,8,2,3,5,7]
[5,4,8,6,7,2,3,1]=>[1,3,2,7,6,8,4,5]
[2,7,8,4,6,3,5,1]=>[1,5,3,6,4,8,7,2]
[5,4,8,6,3,1,2,7]=>[7,2,1,3,6,8,4,5]
[6,4,3,7,5,2,8,1]=>[1,8,2,5,7,3,4,6]
[4,5,7,3,6,2,8,1]=>[1,8,2,6,3,7,5,4]
[4,5,6,3,8,2,7,1]=>[1,7,2,8,3,6,5,4]
[8,4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4,8]
[5,4,8,7,2,1,3,6]=>[6,3,1,2,7,8,4,5]
[2,5,4,7,8,1,3,6]=>[6,3,1,8,7,4,5,2]
[7,1,6,3,5,2,8,4]=>[4,8,2,5,3,6,1,7]
[7,1,4,3,6,2,8,5]=>[5,8,2,6,3,4,1,7]
[5,3,6,4,8,2,7,1]=>[1,7,2,8,4,6,3,5]
[5,3,7,4,6,2,8,1]=>[1,8,2,6,4,7,3,5]
[8,2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2,8]
[8,2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2,8]
[8,2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2,8]
[8,3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3,8]
[4,5,6,2,7,3,8,1]=>[1,8,3,7,2,6,5,4]
[5,2,7,1,3,6,8,4]=>[4,8,6,3,1,7,2,5]
[5,3,1,7,6,2,8,4]=>[4,8,2,6,7,1,3,5]
[7,5,1,6,4,2,8,3]=>[3,8,2,4,6,1,5,7]
[7,4,6,1,5,2,8,3]=>[3,8,2,5,1,6,4,7]
[5,4,6,2,8,3,7,1]=>[1,7,3,8,2,6,4,5]
[8,4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4,8]
[8,5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5,8]
[5,2,1,6,3,8,7,4]=>[4,7,8,3,6,1,2,5]
[4,5,6,3,7,1,8,2]=>[2,8,1,7,3,6,5,4]
[6,3,2,8,5,4,1,7]=>[7,1,4,5,8,2,3,6]
[2,7,4,1,5,3,6,8]=>[8,6,3,5,1,4,7,2]
[3,8,4,2,5,1,6,7]=>[7,6,1,5,2,4,8,3]
[4,3,1,5,2,8,6,7]=>[7,6,8,2,5,1,3,4]
[8,5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5,8]
[3,8,4,1,5,2,6,7]=>[7,6,2,5,1,4,8,3]
[2,5,4,3,8,1,6,7]=>[7,6,1,8,3,4,5,2]
[2,5,7,4,3,1,6,8]=>[8,6,1,3,4,7,5,2]
[5,3,4,2,7,1,6,8]=>[8,6,1,7,2,4,3,5]
[3,7,5,4,1,2,6,8]=>[8,6,2,1,4,5,7,3]
[7,5,1,4,3,2,6,8]=>[8,6,2,3,4,1,5,7]
[4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]
[4,2,5,1,3,8,7,6]=>[6,7,8,3,1,5,2,4]
[4,3,5,1,2,7,6,8]=>[8,6,7,2,1,5,3,4]
[5,3,4,1,7,2,6,8]=>[8,6,2,7,1,4,3,5]
[4,1,6,3,5,2,7,8]=>[8,7,2,5,3,6,1,4]
[4,1,6,5,3,2,7,8]=>[8,7,2,3,5,6,1,4]
[7,1,5,3,2,6,4,8]=>[8,4,6,2,3,5,1,7]
[4,2,1,8,6,3,7,5]=>[5,7,3,6,8,1,2,4]
[7,3,6,4,1,2,5,8]=>[8,5,2,1,4,6,3,7]
[7,1,6,3,5,2,4,8]=>[8,4,2,5,3,6,1,7]
[3,1,7,2,5,6,4,8]=>[8,4,6,5,2,7,1,3]
[2,6,5,3,1,4,7,8]=>[8,7,4,1,3,5,6,2]
[7,6,2,1,5,3,4,8]=>[8,4,3,5,1,2,6,7]
[3,7,5,4,2,1,6,8]=>[8,6,1,2,4,5,7,3]
[3,7,2,4,1,6,5,8]=>[8,5,6,1,4,2,7,3]
[2,7,6,4,1,3,5,8]=>[8,5,3,1,4,6,7,2]
[7,3,2,1,6,4,5,8]=>[8,5,4,6,1,2,3,7]
[2,7,3,1,6,4,5,8]=>[8,5,4,6,1,3,7,2]
[5,8,3,2,7,4,1,6]=>[6,1,4,7,2,3,8,5]
[2,8,6,1,7,4,3,5]=>[5,3,4,7,1,6,8,2]
[7,3,2,6,1,5,4,8]=>[8,4,5,1,6,2,3,7]
[2,7,3,6,1,5,4,8]=>[8,4,5,1,6,3,7,2]
[2,3,7,6,1,5,4,8]=>[8,4,5,1,6,7,3,2]
[2,5,4,6,1,3,7,8]=>[8,7,3,1,6,4,5,2]
[2,5,6,4,1,3,7,8]=>[8,7,3,1,4,6,5,2]
[2,5,4,1,7,3,6,8]=>[8,6,3,7,1,4,5,2]
[6,4,1,7,2,5,3,8]=>[8,3,5,2,7,1,4,6]
[2,8,5,7,1,3,6,4]=>[4,6,3,1,7,5,8,2]
[8,5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5,8]
[7,1,5,6,3,2,4,8]=>[8,4,2,3,6,5,1,7]
[7,1,2,5,4,6,3,8]=>[8,3,6,4,5,2,1,7]
[2,4,1,6,5,3,7,8]=>[8,7,3,5,6,1,4,2]
[4,1,2,7,5,6,3,8]=>[8,3,6,5,7,2,1,4]
[7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]
[7,5,1,4,6,2,3,8]=>[8,3,2,6,4,1,5,7]
[7,1,3,5,6,2,4,8]=>[8,4,2,6,5,3,1,7]
[8,2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2,8]
[2,8,5,1,6,4,7,3]=>[3,7,4,6,1,5,8,2]
[6,1,4,5,3,2,7,8]=>[8,7,2,3,5,4,1,6]
[3,1,6,5,4,2,7,8]=>[8,7,2,4,5,6,1,3]
[3,1,4,6,5,2,7,8]=>[8,7,2,5,6,4,1,3]
[6,4,1,5,3,2,8,7]=>[7,8,2,3,5,1,4,6]
[8,6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6,8]
[5,7,3,1,8,4,2,6]=>[6,2,4,8,1,3,7,5]
[2,1,8,6,3,7,5,4]=>[4,5,7,3,6,8,1,2]
[4,8,2,3,7,6,5,1]=>[1,5,6,7,3,2,8,4]
[5,8,3,1,7,6,4,2]=>[2,4,6,7,1,3,8,5]
[7,8,5,1,2,6,4,3]=>[3,4,6,2,1,5,8,7]
[6,8,5,7,2,4,3,1]=>[1,3,4,2,7,5,8,6]
[7,4,6,3,1,8,2,5]=>[5,2,8,1,3,6,4,7]
[7,4,1,6,8,3,2,5]=>[5,2,3,8,6,1,4,7]
[7,6,3,2,8,5,1,4]=>[4,1,5,8,2,3,6,7]
[7,5,1,8,4,6,2,3]=>[3,2,6,4,8,1,5,7]
[7,6,2,4,1,3,8,5]=>[5,8,3,1,4,2,6,7]
[7,3,8,5,2,6,1,4]=>[4,1,6,2,5,8,3,7]
[5,3,8,4,7,2,1,6]=>[6,1,2,7,4,8,3,5]
[5,6,3,8,7,4,1,2]=>[2,1,4,7,8,3,6,5]
[5,2,6,8,7,4,1,3]=>[3,1,4,7,8,6,2,5]
[6,7,3,8,1,5,4,2]=>[2,4,5,1,8,3,7,6]
[6,3,8,4,1,5,2,7]=>[7,2,5,1,4,8,3,6]
[6,3,8,1,5,4,2,7]=>[7,2,4,5,1,8,3,6]
[6,3,8,1,4,5,2,7]=>[7,2,5,4,1,8,3,6]
[4,3,8,5,7,2,6,1]=>[1,6,2,7,5,8,3,4]
[6,3,8,5,1,4,2,7]=>[7,2,4,1,5,8,3,6]
[6,3,8,5,4,1,2,7]=>[7,2,1,4,5,8,3,6]
[6,3,8,4,5,1,2,7]=>[7,2,1,5,4,8,3,6]
[2,6,3,4,8,1,5,7]=>[7,5,1,8,4,3,6,2]
[5,6,1,8,7,4,3,2]=>[2,3,4,7,8,1,6,5]
[5,2,3,1,4,8,6,7]=>[7,6,8,4,1,3,2,5]
[5,4,1,3,2,8,6,7]=>[7,6,8,2,3,1,4,5]
[3,7,4,2,8,5,6,1]=>[1,6,5,8,2,4,7,3]
[5,1,4,3,2,8,6,7]=>[7,6,8,2,3,4,1,5]
[5,1,3,4,2,8,6,7]=>[7,6,8,2,4,3,1,5]
[5,2,1,4,3,8,6,7]=>[7,6,8,3,4,1,2,5]
[5,2,1,3,4,8,6,7]=>[7,6,8,4,3,1,2,5]
[5,1,2,4,3,8,6,7]=>[7,6,8,3,4,2,1,5]
[6,7,1,8,3,5,4,2]=>[2,4,5,3,8,1,7,6]
[3,2,6,1,8,4,5,7]=>[7,5,4,8,1,6,2,3]
[4,2,7,3,8,5,1,6]=>[6,1,5,8,3,7,2,4]
[4,7,3,2,8,5,1,6]=>[6,1,5,8,2,3,7,4]
[2,3,7,4,8,5,1,6]=>[6,1,5,8,4,7,3,2]
[5,7,6,8,2,4,3,1]=>[1,3,4,2,8,6,7,5]
[4,3,7,2,8,5,6,1]=>[1,6,5,8,2,7,3,4]
[2,3,7,1,8,5,4,6]=>[6,4,5,8,1,7,3,2]
[5,3,1,2,4,8,6,7]=>[7,6,8,4,2,1,3,5]
[5,4,3,1,2,8,6,7]=>[7,6,8,2,1,3,4,5]
[5,2,4,1,3,8,6,7]=>[7,6,8,3,1,4,2,5]
[5,2,4,3,1,8,6,7]=>[7,6,8,1,3,4,2,5]
[3,4,2,7,8,5,6,1]=>[1,6,5,8,7,2,4,3]
[4,3,1,6,8,2,5,7]=>[7,5,2,8,6,1,3,4]
[5,3,4,1,2,8,6,7]=>[7,6,8,2,1,4,3,5]
[5,3,2,4,1,8,6,7]=>[7,6,8,1,4,2,3,5]
[5,2,3,4,1,8,6,7]=>[7,6,8,1,4,3,2,5]
[2,6,1,7,4,5,8,3]=>[3,8,5,4,7,1,6,2]
[5,1,7,3,4,6,8,2]=>[2,8,6,4,3,7,1,5]
[5,8,7,4,3,1,6,2]=>[2,6,1,3,4,7,8,5]
[6,8,7,1,4,3,5,2]=>[2,5,3,4,1,7,8,6]
[7,3,1,4,5,8,6,2]=>[2,6,8,5,4,1,3,7]
[6,8,1,3,4,5,7,2]=>[2,7,5,4,3,1,8,6]
[5,8,1,3,4,6,7,2]=>[2,7,6,4,3,1,8,5]
[5,2,6,3,7,8,1,4]=>[4,1,8,7,3,6,2,5]
[3,5,2,8,1,6,7,4]=>[4,7,6,1,8,2,5,3]
[4,5,6,2,8,1,7,3]=>[3,7,1,8,2,6,5,4]
[2,6,1,4,8,5,7,3]=>[3,7,5,8,4,1,6,2]
[6,1,8,4,2,5,3,7]=>[7,3,5,2,4,8,1,6]
[8,4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4,8]
[5,1,6,3,2,8,4,7]=>[7,4,8,2,3,6,1,5]
[3,1,7,8,2,5,4,6]=>[6,4,5,2,8,7,1,3]
[6,2,8,3,5,7,1,4]=>[4,1,7,5,3,8,2,6]
[6,2,3,7,4,1,8,5]=>[5,8,1,4,7,3,2,6]
[6,3,7,4,1,2,5,8]=>[8,5,2,1,4,7,3,6]
[7,2,6,8,4,3,1,5]=>[5,1,3,4,8,6,2,7]
[3,7,2,8,6,5,1,4]=>[4,1,5,6,8,2,7,3]
[5,2,7,3,6,1,8,4]=>[4,8,1,6,3,7,2,5]
[3,6,7,5,1,2,4,8]=>[8,4,2,1,5,7,6,3]
[2,7,5,8,1,6,4,3]=>[3,4,6,1,8,5,7,2]
[7,4,5,1,8,2,3,6]=>[6,3,2,8,1,5,4,7]
[4,7,1,8,2,3,6,5]=>[5,6,3,2,8,1,7,4]
[7,2,3,1,8,4,5,6]=>[6,5,4,8,1,3,2,7]
[2,1,4,8,3,7,5,6]=>[6,5,7,3,8,4,1,2]
[6,2,8,1,7,3,4,5]=>[5,4,3,7,1,8,2,6]
[4,8,1,6,7,3,2,5]=>[5,2,3,7,6,1,8,4]
[1,2,7,8,4,3,6,5]=>[5,6,3,4,8,7,2,1]
[5,8,1,4,3,2,7,6]=>[6,7,2,3,4,1,8,5]
[4,8,1,3,5,6,2,7]=>[7,2,6,5,3,1,8,4]
[6,8,1,3,2,4,5,7]=>[7,5,4,2,3,1,8,6]
[3,7,4,1,5,6,8,2]=>[2,8,6,5,1,4,7,3]
[5,3,7,8,4,2,6,1]=>[1,6,2,4,8,7,3,5]
[6,3,7,8,2,4,5,1]=>[1,5,4,2,8,7,3,6]
[7,3,5,2,4,8,6,1]=>[1,6,8,4,2,5,3,7]
[8,5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5,8]
[7,5,4,2,3,1,8,6]=>[6,8,1,3,2,4,5,7]
[5,7,4,1,3,2,8,6]=>[6,8,2,3,1,4,7,5]
[8,6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6,8]
[3,7,6,1,8,4,5,2]=>[2,5,4,8,1,6,7,3]
[7,5,6,2,8,1,3,4]=>[4,3,1,8,2,6,5,7]
[3,5,6,4,8,1,7,2]=>[2,7,1,8,4,6,5,3]
[8,4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4,8]
[3,5,4,6,7,1,8,2]=>[2,8,1,7,6,4,5,3]
[1,4,2,6,5,8,7,3]=>[3,7,8,5,6,2,4,1]
[1,3,2,6,4,8,7,5]=>[5,7,8,4,6,2,3,1]
[1,4,2,5,3,8,7,6]=>[6,7,8,3,5,2,4,1]
[1,4,2,6,3,8,7,5]=>[5,7,8,3,6,2,4,1]
[1,5,2,6,4,8,7,3]=>[3,7,8,4,6,2,5,1]
[1,5,3,6,4,8,7,2]=>[2,7,8,4,6,3,5,1]
[1,6,2,5,3,8,7,4]=>[4,7,8,3,5,2,6,1]
[2,5,1,4,3,8,7,6]=>[6,7,8,3,4,1,5,2]
[1,7,2,5,4,8,6,3]=>[3,6,8,4,5,2,7,1]
[1,7,3,5,4,8,6,2]=>[2,6,8,4,5,3,7,1]
[1,8,2,6,3,7,5,4]=>[4,5,7,3,6,2,8,1]
[1,8,3,6,4,7,5,2]=>[2,5,7,4,6,3,8,1]
[1,7,3,6,4,8,5,2]=>[2,5,8,4,6,3,7,1]
[1,7,2,6,4,8,5,3]=>[3,5,8,4,6,2,7,1]
[1,7,2,6,3,8,5,4]=>[4,5,8,3,6,2,7,1]
[1,5,2,7,4,8,6,3]=>[3,6,8,4,7,2,5,1]
[1,4,3,7,5,8,6,2]=>[2,6,8,5,7,3,4,1]
[1,4,2,8,5,7,6,3]=>[3,6,7,5,8,2,4,1]
[1,3,2,8,4,7,6,5]=>[5,6,7,4,8,2,3,1]
[4,8,1,3,2,6,5,7]=>[7,5,6,2,3,1,8,4]
[1,5,2,8,4,7,6,3]=>[3,6,7,4,8,2,5,1]
[1,5,3,8,4,7,6,2]=>[2,6,7,4,8,3,5,1]
[1,6,3,8,4,7,5,2]=>[2,5,7,4,8,3,6,1]
[1,6,2,8,3,7,5,4]=>[4,5,7,3,8,2,6,1]
[2,7,3,8,1,5,4,6]=>[6,4,5,1,8,3,7,2]
[2,8,3,7,1,5,4,6]=>[6,4,5,1,7,3,8,2]
[1,8,4,7,3,6,5,2]=>[2,5,6,3,7,4,8,1]
[1,7,4,8,3,6,5,2]=>[2,5,6,3,8,4,7,1]
[3,8,2,6,1,5,4,7]=>[7,4,5,1,6,2,8,3]
[2,6,3,8,1,5,4,7]=>[7,4,5,1,8,3,6,2]
[8,3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3,8]
[4,8,7,3,5,2,1,6]=>[6,1,2,5,3,7,8,4]
[6,8,7,3,5,2,4,1]=>[1,4,2,5,3,7,8,6]
[8,3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3,8]
[8,6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6,8]
[8,6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6,8]
[8,6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6,8]
[5,3,8,7,4,6,2,1]=>[1,2,6,4,7,8,3,5]
[2,3,8,7,4,6,1,5]=>[5,1,6,4,7,8,3,2]
[8,3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3,8]
[4,8,5,3,1,2,7,6]=>[6,7,2,1,3,5,8,4]
[6,8,7,3,1,5,4,2]=>[2,4,5,1,3,7,8,6]
[6,8,5,4,1,3,7,2]=>[2,7,3,1,4,5,8,6]
[2,5,8,7,4,6,3,1]=>[1,3,6,4,7,8,5,2]
[4,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,4]
[3,8,7,5,1,6,2,4]=>[4,2,6,1,5,7,8,3]
[2,3,8,7,5,6,1,4]=>[4,1,6,5,7,8,3,2]
[2,8,7,1,3,6,4,5]=>[5,4,6,3,1,7,8,2]
[8,5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5,8]
[6,8,7,3,5,2,1,4]=>[4,1,2,5,3,7,8,6]
[3,5,8,6,4,2,7,1]=>[1,7,2,4,6,8,5,3]
[6,8,4,1,5,2,7,3]=>[3,7,2,5,1,4,8,6]
[6,8,2,1,7,5,3,4]=>[4,3,5,7,1,2,8,6]
[5,8,4,6,1,2,7,3]=>[3,7,2,1,6,4,8,5]
[2,4,8,6,5,1,7,3]=>[3,7,1,5,6,8,4,2]
[4,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,4]
[4,8,7,5,1,6,2,3]=>[3,2,6,1,5,7,8,4]
[4,5,2,1,8,6,7,3]=>[3,7,6,8,1,2,5,4]
[4,5,8,3,1,6,7,2]=>[2,7,6,1,3,8,5,4]
[5,7,2,8,4,6,1,3]=>[3,1,6,4,8,2,7,5]
[6,7,3,2,4,8,5,1]=>[1,5,8,4,2,3,7,6]
[7,2,8,6,4,5,1,3]=>[3,1,5,4,6,8,2,7]
[8,7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7,8]
[5,2,7,8,4,1,3,6]=>[6,3,1,4,8,7,2,5]
[2,7,8,6,4,1,3,5]=>[5,3,1,4,6,8,7,2]
[7,6,3,5,2,8,4,1]=>[1,4,8,2,5,3,6,7]
[6,2,7,4,8,5,3,1]=>[1,3,5,8,4,7,2,6]
[8,6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6,8]
[6,8,5,1,7,3,2,4]=>[4,2,3,7,1,5,8,6]
[1,6,8,3,7,4,2,5]=>[5,2,4,7,3,8,6,1]
[5,1,6,3,4,8,2,7]=>[7,2,8,4,3,6,1,5]
[3,5,2,6,4,8,1,7]=>[7,1,8,4,6,2,5,3]
[3,5,2,4,8,1,7,6]=>[6,7,1,8,4,2,5,3]
[6,3,8,2,4,1,7,5]=>[5,7,1,4,2,8,3,6]
[4,6,3,8,7,5,2,1]=>[1,2,5,7,8,3,6,4]
[6,3,8,7,5,4,2,1]=>[1,2,4,5,7,8,3,6]
[6,8,4,2,1,7,5,3]=>[3,5,7,1,2,4,8,6]
[5,2,6,4,3,8,1,7]=>[7,1,8,3,4,6,2,5]
[6,5,3,1,4,8,2,7]=>[7,2,8,4,1,3,5,6]
[3,1,7,8,6,4,2,5]=>[5,2,4,6,8,7,1,3]
[3,8,1,7,6,2,5,4]=>[4,5,2,6,7,1,8,3]
[8,1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1,8]
[7,2,6,3,8,5,4,1]=>[1,4,5,8,3,6,2,7]
[7,3,8,6,4,1,5,2]=>[2,5,1,4,6,8,3,7]
[1,7,5,8,2,4,3,6]=>[6,3,4,2,8,5,7,1]
[6,1,5,2,4,8,3,7]=>[7,3,8,4,2,5,1,6]
[1,5,6,3,8,2,4,7]=>[7,4,2,8,3,6,5,1]
[8,7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7,8]
[2,6,7,4,3,8,5,1]=>[1,5,8,3,4,7,6,2]
[5,2,4,7,3,8,6,1]=>[1,6,8,3,7,4,2,5]
[1,5,8,7,2,4,6,3]=>[3,6,4,2,7,8,5,1]
[1,4,8,7,3,6,5,2]=>[2,5,6,3,7,8,4,1]
[8,3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3,8]
[3,7,2,8,1,5,4,6]=>[6,4,5,1,8,2,7,3]
[3,2,6,1,5,8,4,7]=>[7,4,8,5,1,6,2,3]
[7,2,1,5,8,4,3,6]=>[6,3,4,8,5,1,2,7]
[7,2,8,1,4,3,6,5]=>[5,6,3,4,1,8,2,7]
[1,7,8,3,2,6,5,4]=>[4,5,6,2,3,8,7,1]
[1,7,4,8,3,2,6,5]=>[5,6,2,3,8,4,7,1]
[1,7,5,4,8,3,2,6]=>[6,2,3,8,4,5,7,1]
[6,1,5,4,3,8,2,7]=>[7,2,8,3,4,5,1,6]
[1,7,4,5,6,8,2,3]=>[3,2,8,6,5,4,7,1]
[1,6,4,2,3,5,7,8]=>[8,7,5,3,2,4,6,1]
[1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1]
[1,8,5,2,3,4,6,7]=>[7,6,4,3,2,5,8,1]
[1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]
[1,5,8,6,2,3,4,7]=>[7,4,3,2,6,8,5,1]
[1,6,8,5,2,3,4,7]=>[7,4,3,2,5,8,6,1]
[1,6,7,5,2,3,4,8]=>[8,4,3,2,5,7,6,1]
[1,6,5,7,2,3,4,8]=>[8,4,3,2,7,5,6,1]
[1,7,5,6,2,3,4,8]=>[8,4,3,2,6,5,7,1]
[1,7,6,5,2,3,4,8]=>[8,4,3,2,5,6,7,1]
[1,3,2,7,6,4,5,8]=>[8,5,4,6,7,2,3,1]
[1,2,3,7,6,4,5,8]=>[8,5,4,6,7,3,2,1]
[1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]
[1,8,2,3,7,4,5,6]=>[6,5,4,7,3,2,8,1]
[1,5,4,2,3,8,6,7]=>[7,6,8,3,2,4,5,1]
[1,3,2,8,6,4,5,7]=>[7,5,4,6,8,2,3,1]
[1,8,6,5,2,3,4,7]=>[7,4,3,2,5,6,8,1]
[1,7,5,8,2,3,4,6]=>[6,4,3,2,8,5,7,1]
[1,8,7,5,2,3,4,6]=>[6,4,3,2,5,7,8,1]
[1,7,4,2,8,3,5,6]=>[6,5,3,8,2,4,7,1]
[1,7,8,5,2,3,4,6]=>[6,4,3,2,5,8,7,1]
[2,1,5,8,6,3,7,4]=>[4,7,3,6,8,5,1,2]
[2,5,8,4,6,1,7,3]=>[3,7,1,6,4,8,5,2]
[2,5,3,8,6,1,7,4]=>[4,7,1,6,8,3,5,2]
[2,6,3,5,8,1,7,4]=>[4,7,1,8,5,3,6,2]
[6,3,2,5,8,1,7,4]=>[4,7,1,8,5,2,3,6]
[5,3,2,8,6,1,7,4]=>[4,7,1,6,8,2,3,5]
[5,8,4,6,1,3,7,2]=>[2,7,3,1,6,4,8,5]
[5,3,8,6,1,4,7,2]=>[2,7,4,1,6,8,3,5]
[2,6,5,4,8,1,7,3]=>[3,7,1,8,4,5,6,2]
[8,3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3,8]
[2,4,6,8,5,3,7,1]=>[1,7,3,5,8,6,4,2]
[2,4,8,1,7,6,5,3]=>[3,5,6,7,1,8,4,2]
[4,3,8,1,5,7,6,2]=>[2,6,7,5,1,8,3,4]
[3,8,4,1,5,7,6,2]=>[2,6,7,5,1,4,8,3]
[4,3,6,8,5,2,7,1]=>[1,7,2,5,8,6,3,4]
[8,5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5,8]
[3,6,8,5,4,2,7,1]=>[1,7,2,4,5,8,6,3]
[3,6,4,8,5,2,7,1]=>[1,7,2,5,8,4,6,3]
[3,6,4,1,8,2,7,5]=>[5,7,2,8,1,4,6,3]
[3,6,4,1,5,2,8,7]=>[7,8,2,5,1,4,6,3]
[4,8,6,5,1,3,7,2]=>[2,7,3,1,5,6,8,4]
[2,8,3,5,6,7,1,4]=>[4,1,7,6,5,3,8,2]
[5,6,2,4,7,1,8,3]=>[3,8,1,7,4,2,6,5]
[2,7,5,4,6,1,8,3]=>[3,8,1,6,4,5,7,2]
[2,3,7,4,6,1,8,5]=>[5,8,1,6,4,7,3,2]
[2,6,7,4,1,3,8,5]=>[5,8,3,1,4,7,6,2]
[6,5,7,4,1,3,8,2]=>[2,8,3,1,4,7,5,6]
[2,4,6,3,5,7,8,1]=>[1,8,7,5,3,6,4,2]
[4,1,6,3,5,7,8,2]=>[2,8,7,5,3,6,1,4]
[3,6,4,2,5,7,8,1]=>[1,8,7,5,2,4,6,3]
[2,3,6,1,5,7,8,4]=>[4,8,7,5,1,6,3,2]
[4,3,6,2,5,7,8,1]=>[1,8,7,5,2,6,3,4]
[4,6,1,2,5,7,8,3]=>[3,8,7,5,2,1,6,4]
[2,6,4,1,5,7,8,3]=>[3,8,7,5,1,4,6,2]
[2,4,1,6,5,7,8,3]=>[3,8,7,5,6,1,4,2]
[8,6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6,8]
[6,4,7,3,1,8,5,2]=>[2,5,8,1,3,7,4,6]
[6,4,7,5,3,1,8,2]=>[2,8,1,3,5,7,4,6]
[6,4,2,7,5,1,8,3]=>[3,8,1,5,7,2,4,6]
[7,5,4,2,6,3,1,8]=>[8,1,3,6,2,4,5,7]
[7,5,4,2,6,1,8,3]=>[3,8,1,6,2,4,5,7]
[7,5,4,6,3,1,8,2]=>[2,8,1,3,6,4,5,7]
[4,7,3,1,8,6,5,2]=>[2,5,6,8,1,3,7,4]
[4,8,6,5,3,1,7,2]=>[2,7,1,3,5,6,8,4]
[5,6,4,7,3,1,8,2]=>[2,8,1,3,7,4,6,5]
[5,6,4,2,7,1,8,3]=>[3,8,1,7,2,4,6,5]
[5,3,6,8,2,1,7,4]=>[4,7,1,2,8,6,3,5]
[4,2,7,5,3,1,8,6]=>[6,8,1,3,5,7,2,4]
[4,2,8,6,5,3,1,7]=>[7,1,3,5,6,8,2,4]
[5,4,2,8,6,3,1,7]=>[7,1,3,6,8,2,4,5]
[5,6,3,2,8,4,1,7]=>[7,1,4,8,2,3,6,5]
[5,3,6,4,8,2,1,7]=>[7,1,2,8,4,6,3,5]
[6,8,4,3,2,5,1,7]=>[7,1,5,2,3,4,8,6]
[4,8,3,2,6,5,1,7]=>[7,1,5,6,2,3,8,4]
[7,3,2,5,4,1,8,6]=>[6,8,1,4,5,2,3,7]
[7,3,2,5,1,8,6,4]=>[4,6,8,1,5,2,3,7]
[4,6,3,8,7,2,1,5]=>[5,1,2,7,8,3,6,4]
[4,7,6,3,2,5,1,8]=>[8,1,5,2,3,6,7,4]
[4,7,6,3,8,2,1,5]=>[5,1,2,8,3,6,7,4]
[4,7,3,8,6,2,1,5]=>[5,1,2,6,8,3,7,4]
[5,4,8,7,2,1,6,3]=>[3,6,1,2,7,8,4,5]
[7,5,4,8,2,1,6,3]=>[3,6,1,2,8,4,5,7]
[5,7,3,2,6,1,8,4]=>[4,8,1,6,2,3,7,5]
[5,7,3,2,6,4,1,8]=>[8,1,4,6,2,3,7,5]
[6,4,2,7,1,8,5,3]=>[3,5,8,1,7,2,4,6]
[6,2,7,5,1,8,4,3]=>[3,4,8,1,5,7,2,6]
[2,7,5,1,8,6,4,3]=>[3,4,6,8,1,5,7,2]
[2,7,5,3,1,8,6,4]=>[4,6,8,1,3,5,7,2]
[2,8,6,5,3,1,7,4]=>[4,7,1,3,5,6,8,2]
[3,7,5,4,2,6,1,8]=>[8,1,6,2,4,5,7,3]
[7,5,2,8,4,3,1,6]=>[6,1,3,4,8,2,5,7]
[5,2,8,7,4,3,1,6]=>[6,1,3,4,7,8,2,5]
[4,2,7,3,1,8,6,5]=>[5,6,8,1,3,7,2,4]
[7,3,2,4,1,8,6,5]=>[5,6,8,1,4,2,3,7]
[5,3,2,8,7,4,1,6]=>[6,1,4,7,8,2,3,5]
[8,4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4,8]
[4,3,7,5,8,2,1,6]=>[6,1,2,8,5,7,3,4]
[4,3,7,5,2,6,1,8]=>[8,1,6,2,5,7,3,4]
[4,5,7,3,2,6,1,8]=>[8,1,6,2,3,7,5,4]
[4,5,7,3,8,2,1,6]=>[6,1,2,8,3,7,5,4]
[8,4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4,8]
[4,3,5,8,7,2,1,6]=>[6,1,2,7,8,5,3,4]
[3,5,4,8,7,2,1,6]=>[6,1,2,7,8,4,5,3]
[3,6,4,8,2,1,7,5]=>[5,7,1,2,8,4,6,3]
[3,4,2,7,1,8,6,5]=>[5,6,8,1,7,2,4,3]
[3,4,2,7,5,1,8,6]=>[6,8,1,5,7,2,4,3]
[3,4,2,8,6,5,1,7]=>[7,1,5,6,8,2,4,3]
[4,3,5,2,8,6,1,7]=>[7,1,6,8,2,5,3,4]
[4,5,3,6,8,2,1,7]=>[7,1,2,8,6,3,5,4]
[1,2,8,6,4,5,7,3]=>[3,7,5,4,6,8,2,1]
[1,8,5,3,4,6,7,2]=>[2,7,6,4,3,5,8,1]
[7,8,4,1,6,3,5,2]=>[2,5,3,6,1,4,8,7]
[8,7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7,8]
[3,2,6,4,1,8,5,7]=>[7,5,8,1,4,6,2,3]
[2,8,6,5,3,1,4,7]=>[7,4,1,3,5,6,8,2]
[5,4,8,6,2,3,1,7]=>[7,1,3,2,6,8,4,5]
[4,8,7,5,2,3,1,6]=>[6,1,3,2,5,7,8,4]
[5,2,4,7,6,8,3,1]=>[1,3,8,6,7,4,2,5]
[2,5,3,7,6,8,4,1]=>[1,4,8,6,7,3,5,2]
[8,6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6,8]
[4,1,2,8,6,5,3,7]=>[7,3,5,6,8,2,1,4]
[8,5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5,8]
[4,6,1,8,5,2,3,7]=>[7,3,2,5,8,1,6,4]
[3,4,2,8,7,5,1,6]=>[6,1,5,7,8,2,4,3]
[8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]
[6,4,1,8,7,3,2,5]=>[5,2,3,7,8,1,4,6]
[1,8,5,4,2,7,3,6]=>[6,3,7,2,4,5,8,1]
[3,7,1,2,8,5,4,6]=>[6,4,5,8,2,1,7,3]
[7,4,6,8,3,1,5,2]=>[2,5,1,3,8,6,4,7]
[3,7,6,1,5,8,4,2]=>[2,4,8,5,1,6,7,3]
[3,6,5,8,2,7,4,1]=>[1,4,7,2,8,5,6,3]
[8,3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3,8]
[1,7,6,4,8,3,5,2]=>[2,5,3,8,4,6,7,1]
[7,5,8,4,1,3,6,2]=>[2,6,3,1,4,8,5,7]
[7,1,6,2,3,8,4,5]=>[5,4,8,3,2,6,1,7]
[6,4,7,1,3,2,8,5]=>[5,8,2,3,1,7,4,6]
[5,1,3,8,7,2,6,4]=>[4,6,2,7,8,3,1,5]
[8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8]
[3,8,5,2,4,7,6,1]=>[1,6,7,4,2,5,8,3]
[2,8,7,3,5,1,6,4]=>[4,6,1,5,3,7,8,2]
[8,7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7,8]
[3,1,7,4,8,6,2,5]=>[5,2,6,8,4,7,1,3]
[7,1,5,2,4,8,3,6]=>[6,3,8,4,2,5,1,7]
[3,8,5,1,4,7,2,6]=>[6,2,7,4,1,5,8,3]
[7,2,5,4,1,3,8,6]=>[6,8,3,1,4,5,2,7]
[6,4,1,8,7,2,3,5]=>[5,3,2,7,8,1,4,6]
[8,7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7,8]
[7,3,2,5,8,4,1,6]=>[6,1,4,8,5,2,3,7]
[4,7,2,3,8,1,6,5]=>[5,6,1,8,3,2,7,4]
[8,2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2,8]
[7,5,8,1,6,3,2,4]=>[4,2,3,6,1,8,5,7]
[3,7,2,5,6,4,8,1]=>[1,8,4,6,5,2,7,3]
[6,7,2,4,1,5,8,3]=>[3,8,5,1,4,2,7,6]
[4,2,7,5,1,6,8,3]=>[3,8,6,1,5,7,2,4]
[5,8,1,6,2,3,7,4]=>[4,7,3,2,6,1,8,5]
[5,1,2,8,4,7,6,3]=>[3,6,7,4,8,2,1,5]
[8,2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2,8]
[7,1,4,8,5,6,2,3]=>[3,2,6,5,8,4,1,7]
[8,5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5,8]
[5,2,6,8,4,7,1,3]=>[3,1,7,4,8,6,2,5]
[3,6,5,8,2,7,1,4]=>[4,1,7,2,8,5,6,3]
[7,1,6,3,8,2,5,4]=>[4,5,2,8,3,6,1,7]
[8,1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1,8]
[7,3,8,1,4,6,5,2]=>[2,5,6,4,1,8,3,7]
[7,4,6,1,3,2,5,8]=>[8,5,2,3,1,6,4,7]
[1,4,5,8,6,3,2,7]=>[7,2,3,6,8,5,4,1]
[8,4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4,8]
[7,4,1,5,6,3,2,8]=>[8,2,3,6,5,1,4,7]
[3,7,4,5,6,2,1,8]=>[8,1,2,6,5,4,7,3]
[4,5,2,6,7,3,1,8]=>[8,1,3,7,6,2,5,4]
[7,1,2,5,6,3,4,8]=>[8,4,3,6,5,2,1,7]
[8,1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1,8]
[1,8,6,3,5,7,2,4]=>[4,2,7,5,3,6,8,1]
[5,8,6,3,1,7,2,4]=>[4,2,7,1,3,6,8,5]
[4,8,6,3,5,7,2,1]=>[1,2,7,5,3,6,8,4]
[4,7,8,3,2,6,1,5]=>[5,1,6,2,3,8,7,4]
[5,2,8,3,6,1,4,7]=>[7,4,1,6,3,8,2,5]
[2,1,6,5,8,3,4,7]=>[7,4,3,8,5,6,1,2]
[5,2,6,3,1,7,8,4]=>[4,8,7,1,3,6,2,5]
[6,2,5,7,3,4,8,1]=>[1,8,4,3,7,5,2,6]
[7,2,5,6,3,1,8,4]=>[4,8,1,3,6,5,2,7]
[7,4,3,1,5,2,8,6]=>[6,8,2,5,1,3,4,7]
[4,8,6,5,1,7,2,3]=>[3,2,7,1,5,6,8,4]
[4,3,5,1,6,7,8,2]=>[2,8,7,6,1,5,3,4]
[5,1,4,3,6,7,8,2]=>[2,8,7,6,3,4,1,5]
[4,6,5,2,3,7,8,1]=>[1,8,7,3,2,5,6,4]
[5,7,6,1,2,3,8,4]=>[4,8,3,2,1,6,7,5]
[3,6,7,5,1,2,8,4]=>[4,8,2,1,5,7,6,3]
[1,7,6,8,5,2,4,3]=>[3,4,2,5,8,6,7,1]
[5,7,6,8,1,2,4,3]=>[3,4,2,1,8,6,7,5]
[6,1,2,7,5,4,8,3]=>[3,8,4,5,7,2,1,6]
[7,5,4,2,8,6,3,1]=>[1,3,6,8,2,4,5,7]
[3,1,5,8,7,6,4,2]=>[2,4,6,7,8,5,1,3]
[3,4,6,1,5,2,8,7]=>[7,8,2,5,1,6,4,3]
[5,6,3,7,1,4,8,2]=>[2,8,4,1,7,3,6,5]
[3,1,2,5,8,6,4,7]=>[7,4,6,8,5,2,1,3]
[5,3,2,1,8,6,4,7]=>[7,4,6,8,1,2,3,5]
[3,8,7,4,5,1,2,6]=>[6,2,1,5,4,7,8,3]
[7,5,1,4,2,3,8,6]=>[6,8,3,2,4,1,5,7]
[2,6,3,4,1,7,8,5]=>[5,8,7,1,4,3,6,2]
[1,6,3,4,2,7,8,5]=>[5,8,7,2,4,3,6,1]
[3,8,6,4,5,7,2,1]=>[1,2,7,5,4,6,8,3]
[7,8,6,1,4,5,2,3]=>[3,2,5,4,1,6,8,7]
[7,5,1,4,6,2,8,3]=>[3,8,2,6,4,1,5,7]
[7,5,8,1,4,6,2,3]=>[3,2,6,4,1,8,5,7]
[7,5,1,3,6,8,2,4]=>[4,2,8,6,3,1,5,7]
[6,5,3,1,7,8,2,4]=>[4,2,8,7,1,3,5,6]
[6,5,8,4,1,7,2,3]=>[3,2,7,1,4,8,5,6]
[1,8,5,4,7,6,2,3]=>[3,2,6,7,4,5,8,1]
[1,8,5,4,6,7,2,3]=>[3,2,7,6,4,5,8,1]
[6,4,3,7,8,2,1,5]=>[5,1,2,8,7,3,4,6]
[6,5,8,3,7,2,1,4]=>[4,1,2,7,3,8,5,6]
[6,5,3,7,2,1,8,4]=>[4,8,1,2,7,3,5,6]
[7,8,5,3,6,2,1,4]=>[4,1,2,6,3,5,8,7]
[7,8,5,3,6,2,4,1]=>[1,4,2,6,3,5,8,7]
[6,4,8,3,2,7,5,1]=>[1,5,7,2,3,8,4,6]
[7,8,4,3,2,6,5,1]=>[1,5,6,2,3,4,8,7]
[1,8,4,3,2,6,5,7]=>[7,5,6,2,3,4,8,1]
[1,8,4,3,2,6,7,5]=>[5,7,6,2,3,4,8,1]
[7,8,4,3,2,6,1,5]=>[5,1,6,2,3,4,8,7]
[5,4,3,8,2,1,7,6]=>[6,7,1,2,8,3,4,5]
[6,4,8,3,2,1,7,5]=>[5,7,1,2,3,8,4,6]
[1,8,4,3,2,7,6,5]=>[5,6,7,2,3,4,8,1]
[6,5,3,1,2,8,7,4]=>[4,7,8,2,1,3,5,6]
[6,5,8,3,1,2,7,4]=>[4,7,2,1,3,8,5,6]
[7,5,8,1,3,2,6,4]=>[4,6,2,3,1,8,5,7]
[7,6,1,3,2,8,5,4]=>[4,5,8,2,3,1,6,7]
[1,8,6,7,3,2,5,4]=>[4,5,2,3,7,6,8,1]
[1,8,6,7,3,2,4,5]=>[5,4,2,3,7,6,8,1]
[7,6,1,3,2,8,4,5]=>[5,4,8,2,3,1,6,7]
[7,8,6,1,3,2,4,5]=>[5,4,2,3,1,6,8,7]
[6,5,8,3,1,2,4,7]=>[7,4,2,1,3,8,5,6]
[1,8,4,3,2,7,5,6]=>[6,5,7,2,3,4,8,1]
[5,4,3,8,2,1,6,7]=>[7,6,1,2,8,3,4,5]
[5,4,3,8,2,6,1,7]=>[7,1,6,2,8,3,4,5]
[6,4,8,3,2,5,1,7]=>[7,1,5,2,3,8,4,6]
[1,8,4,3,2,5,7,6]=>[6,7,5,2,3,4,8,1]
[6,4,8,3,2,5,7,1]=>[1,7,5,2,3,8,4,6]
[5,4,3,8,2,6,7,1]=>[1,7,6,2,8,3,4,5]
[6,4,2,3,5,1,8,7]=>[7,8,1,5,3,2,4,6]
[5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]
[5,2,3,8,6,4,7,1]=>[1,7,4,6,8,3,2,5]
[5,2,3,7,4,8,1,6]=>[6,1,8,4,7,3,2,5]
[8,6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6,8]
[7,2,3,4,5,8,1,6]=>[6,1,8,5,4,3,2,7]
[7,2,8,1,5,3,4,6]=>[6,4,3,5,1,8,2,7]
[3,8,6,4,7,2,5,1]=>[1,5,2,7,4,6,8,3]
[2,1,8,6,4,5,7,3]=>[3,7,5,4,6,8,1,2]
[4,8,2,5,7,3,1,6]=>[6,1,3,7,5,2,8,4]
[5,8,2,3,4,7,1,6]=>[6,1,7,4,3,2,8,5]
[6,3,4,7,8,2,1,5]=>[5,1,2,8,7,4,3,6]
[3,8,5,1,4,7,6,2]=>[2,6,7,4,1,5,8,3]
[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]
[4,6,8,5,2,7,3,1]=>[1,3,7,2,5,8,6,4]
[3,7,8,5,2,6,4,1]=>[1,4,6,2,5,8,7,3]
[3,8,6,2,7,4,5,1]=>[1,5,4,7,2,6,8,3]
[8,5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5,8]
[7,3,6,2,8,1,5,4]=>[4,5,1,8,2,6,3,7]
[8,1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1,8]
[6,4,2,3,7,8,5,1]=>[1,5,8,7,3,2,4,6]
[8,4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4,8]
[4,5,8,3,7,2,1,6]=>[6,1,2,7,3,8,5,4]
[3,7,2,8,4,5,1,6]=>[6,1,5,4,8,2,7,3]
[3,5,1,8,4,6,2,7]=>[7,2,6,4,8,1,5,3]
[4,2,1,5,6,8,3,7]=>[7,3,8,6,5,1,2,4]
[4,1,2,6,5,8,3,7]=>[7,3,8,5,6,2,1,4]
[4,1,8,3,2,6,7,5]=>[5,7,6,2,3,8,1,4]
[4,2,7,5,8,1,3,6]=>[6,3,1,8,5,7,2,4]
[4,6,2,7,8,3,1,5]=>[5,1,3,8,7,2,6,4]
[4,6,1,3,8,2,5,7]=>[7,5,2,8,3,1,6,4]
[4,3,6,2,1,8,7,5]=>[5,7,8,1,2,6,3,4]
[3,7,4,5,1,6,2,8]=>[8,2,6,1,5,4,7,3]
[3,6,4,5,8,2,1,7]=>[7,1,2,8,5,4,6,3]
[6,1,4,5,2,8,7,3]=>[3,7,8,2,5,4,1,6]
[7,2,4,5,1,6,3,8]=>[8,3,6,1,5,4,2,7]
[7,5,4,1,6,3,2,8]=>[8,2,3,6,1,4,5,7]
[1,5,4,8,6,3,2,7]=>[7,2,3,6,8,4,5,1]
[7,5,4,8,6,3,1,2]=>[2,1,3,6,8,4,5,7]
[1,8,7,5,3,6,4,2]=>[2,4,6,3,5,7,8,1]
[8,3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3,8]
[8,5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5,8]
[1,7,4,2,6,5,3,8]=>[8,3,5,6,2,4,7,1]
[8,2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2,8]
[6,3,1,8,4,7,2,5]=>[5,2,7,4,8,1,3,6]
[7,1,4,8,6,3,2,5]=>[5,2,3,6,8,4,1,7]
[4,1,8,5,6,7,2,3]=>[3,2,7,6,5,8,1,4]
[5,7,4,8,6,2,1,3]=>[3,1,2,6,8,4,7,5]
[5,3,6,8,2,7,1,4]=>[4,1,7,2,8,6,3,5]
[6,3,7,4,8,2,1,5]=>[5,1,2,8,4,7,3,6]
[5,3,6,1,4,7,2,8]=>[8,2,7,4,1,6,3,5]
[4,3,6,8,2,7,1,5]=>[5,1,7,2,8,6,3,4]
[5,3,7,4,8,2,1,6]=>[6,1,2,8,4,7,3,5]
[5,3,8,4,1,6,2,7]=>[7,2,6,1,4,8,3,5]
[5,3,8,1,4,7,2,6]=>[6,2,7,4,1,8,3,5]
[5,8,4,1,6,3,2,7]=>[7,2,3,6,1,4,8,5]
[7,3,8,4,1,6,2,5]=>[5,2,6,1,4,8,3,7]
[1,5,8,3,6,7,4,2]=>[2,4,7,6,3,8,5,1]
[1,8,2,5,6,7,3,4]=>[4,3,7,6,5,2,8,1]
[7,8,4,1,6,5,2,3]=>[3,2,5,6,1,4,8,7]
[6,3,8,1,5,7,2,4]=>[4,2,7,5,1,8,3,6]
[8,3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3,8]
[8,1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1,8]
[5,1,3,7,4,8,2,6]=>[6,2,8,4,7,3,1,5]
[5,1,3,4,7,8,2,6]=>[6,2,8,7,4,3,1,5]
[2,5,8,7,4,3,6,1]=>[1,6,3,4,7,8,5,2]
[5,4,1,8,3,2,7,6]=>[6,7,2,3,8,1,4,5]
[5,1,4,3,8,7,2,6]=>[6,2,7,8,3,4,1,5]
[5,1,7,8,3,4,2,6]=>[6,2,4,3,8,7,1,5]
[5,4,1,3,8,2,7,6]=>[6,7,2,8,3,1,4,5]
[2,5,4,8,3,7,6,1]=>[1,6,7,3,8,4,5,2]
[5,2,1,4,8,3,6,7]=>[7,6,3,8,4,1,2,5]
[5,2,1,8,4,3,6,7]=>[7,6,3,4,8,1,2,5]
[5,8,1,2,3,6,4,7]=>[7,4,6,3,2,1,8,5]
[5,6,8,2,3,4,1,7]=>[7,1,4,3,2,8,6,5]
[2,3,5,7,4,6,8,1]=>[1,8,6,4,7,5,3,2]
[4,5,2,3,8,6,1,7]=>[7,1,6,8,3,2,5,4]
[4,5,2,8,3,6,1,7]=>[7,1,6,3,8,2,5,4]
[3,7,4,5,8,1,2,6]=>[6,2,1,8,5,4,7,3]
[3,7,8,1,4,5,2,6]=>[6,2,5,4,1,8,7,3]
[4,8,7,1,5,3,2,6]=>[6,2,3,5,1,7,8,4]
[5,8,2,1,6,3,4,7]=>[7,4,3,6,1,2,8,5]
[3,7,1,8,5,4,2,6]=>[6,2,4,5,8,1,7,3]
[4,8,1,3,7,5,2,6]=>[6,2,5,7,3,1,8,4]
[5,4,2,1,3,6,8,7]=>[7,8,6,3,1,2,4,5]
[2,5,3,8,4,6,7,1]=>[1,7,6,4,8,3,5,2]
[2,4,7,8,5,3,6,1]=>[1,6,3,5,8,7,4,2]
[4,8,3,1,5,7,2,6]=>[6,2,7,5,1,3,8,4]
[5,3,1,4,7,2,8,6]=>[6,8,2,7,4,1,3,5]
[5,3,1,7,4,2,8,6]=>[6,8,2,4,7,1,3,5]
[4,3,8,5,1,2,7,6]=>[6,7,2,1,5,8,3,4]
[2,4,7,5,8,3,6,1]=>[1,6,3,8,5,7,4,2]
[4,3,5,8,2,1,7,6]=>[6,7,1,2,8,5,3,4]
[4,8,5,3,7,1,2,6]=>[6,2,1,7,3,5,8,4]
[4,8,5,7,3,1,2,6]=>[6,2,1,3,7,5,8,4]
[4,8,7,5,1,3,2,6]=>[6,2,3,1,5,7,8,4]
[4,2,8,5,1,3,6,7]=>[7,6,3,1,5,8,2,4]
[3,7,8,4,1,5,2,6]=>[6,2,5,1,4,8,7,3]
[3,4,7,5,8,2,1,6]=>[6,1,2,8,5,7,4,3]
[3,4,5,7,2,8,1,6]=>[6,1,8,2,7,5,4,3]
[1,3,6,8,7,2,4,5]=>[5,4,2,7,8,6,3,1]
[1,5,4,8,7,2,3,6]=>[6,3,2,7,8,4,5,1]
[1,6,3,8,2,5,4,7]=>[7,4,5,2,8,3,6,1]
[1,8,5,7,2,4,3,6]=>[6,3,4,2,7,5,8,1]
[1,8,5,4,2,3,6,7]=>[7,6,3,2,4,5,8,1]
[1,3,6,8,5,4,2,7]=>[7,2,4,5,8,6,3,1]
[1,6,3,8,4,5,2,7]=>[7,2,5,4,8,3,6,1]
[1,8,2,6,4,5,3,7]=>[7,3,5,4,6,2,8,1]
[1,5,2,7,4,8,3,6]=>[6,3,8,4,7,2,5,1]
[1,6,3,8,2,7,4,5]=>[5,4,7,2,8,3,6,1]
[1,4,2,7,5,8,3,6]=>[6,3,8,5,7,2,4,1]
[1,8,2,3,6,7,5,4]=>[4,5,7,6,3,2,8,1]
[1,3,6,8,2,7,5,4]=>[4,5,7,2,8,6,3,1]
[1,6,5,4,3,8,2,7]=>[7,2,8,3,4,5,6,1]
[1,8,3,4,5,6,2,7]=>[7,2,6,5,4,3,8,1]
[1,8,3,6,2,4,5,7]=>[7,5,4,2,6,3,8,1]
[1,8,3,6,2,5,4,7]=>[7,4,5,2,6,3,8,1]
[1,5,4,8,3,6,2,7]=>[7,2,6,3,8,4,5,1]
[1,4,5,8,3,6,2,7]=>[7,2,6,3,8,5,4,1]
[1,3,6,8,4,5,2,7]=>[7,2,5,4,8,6,3,1]
[1,2,7,8,4,5,3,6]=>[6,3,5,4,8,7,2,1]
[7,2,8,4,3,6,5,1]=>[1,5,6,3,4,8,2,7]
[7,2,8,5,6,3,4,1]=>[1,4,3,6,5,8,2,7]
[7,6,3,8,5,4,2,1]=>[1,2,4,5,8,3,6,7]
[6,2,8,7,5,4,1,3]=>[3,1,4,5,7,8,2,6]
[6,2,8,4,3,7,1,5]=>[5,1,7,3,4,8,2,6]
[5,2,8,4,3,1,7,6]=>[6,7,1,3,4,8,2,5]
[1,4,7,3,2,6,8,5]=>[5,8,6,2,3,7,4,1]
[1,5,7,3,6,2,8,4]=>[4,8,2,6,3,7,5,1]
[3,6,2,7,1,5,4,8]=>[8,4,5,1,7,2,6,3]
[1,2,5,4,8,3,7,6]=>[6,7,3,8,4,5,2,1]
[1,4,3,5,8,2,7,6]=>[6,7,2,8,5,3,4,1]
[1,4,3,6,8,7,2,5]=>[5,2,7,8,6,3,4,1]
[1,5,3,7,6,8,2,4]=>[4,2,8,6,7,3,5,1]
[1,6,4,5,7,8,2,3]=>[3,2,8,7,5,4,6,1]
[4,2,6,5,7,8,1,3]=>[3,1,8,7,5,6,2,4]
[3,2,5,7,6,8,1,4]=>[4,1,8,6,7,5,2,3]
[3,2,4,6,8,7,1,5]=>[5,1,7,8,6,4,2,3]
[6,3,2,7,4,8,5,1]=>[1,5,8,4,7,2,3,6]
[5,3,2,6,8,4,7,1]=>[1,7,4,8,6,2,3,5]
[4,1,8,7,5,2,6,3]=>[3,6,2,5,7,8,1,4]
[3,1,8,6,4,7,2,5]=>[5,2,7,4,6,8,1,3]
[3,1,6,8,5,4,2,7]=>[7,2,4,5,8,6,1,3]
[5,3,2,8,7,6,4,1]=>[1,4,6,7,8,2,3,5]
[2,4,8,1,7,6,3,5]=>[5,3,6,7,1,8,4,2]
[3,8,1,7,6,5,2,4]=>[4,2,5,6,7,1,8,3]
[4,6,1,5,7,3,2,8]=>[8,2,3,7,5,1,6,4]
[4,8,1,5,3,6,2,7]=>[7,2,6,3,5,1,8,4]
[5,8,1,6,4,2,7,3]=>[3,7,2,4,6,1,8,5]
[6,5,2,7,3,8,1,4]=>[4,1,8,3,7,2,5,6]
[5,4,2,6,7,3,1,8]=>[8,1,3,7,6,2,4,5]
[5,4,2,7,6,3,1,8]=>[8,1,3,6,7,2,4,5]
[5,3,8,2,7,6,1,4]=>[4,1,6,7,2,8,3,5]
[6,5,4,8,3,7,2,1]=>[1,2,7,3,8,4,5,6]
[6,3,5,7,2,4,1,8]=>[8,1,4,2,7,5,3,6]
[4,8,5,1,3,7,2,6]=>[6,2,7,3,1,5,8,4]
[2,6,8,5,1,4,3,7]=>[7,3,4,1,5,8,6,2]
[4,3,8,7,2,6,5,1]=>[1,5,6,2,7,8,3,4]
[4,3,6,8,2,5,7,1]=>[1,7,5,2,8,6,3,4]
[2,6,5,8,1,4,7,3]=>[3,7,4,1,8,5,6,2]
[2,7,5,1,8,4,6,3]=>[3,6,4,8,1,5,7,2]
[7,3,6,2,4,8,5,1]=>[1,5,8,4,2,6,3,7]
[8,4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4,8]
[7,8,5,2,1,6,4,3]=>[3,4,6,1,2,5,8,7]
[6,7,3,2,8,1,5,4]=>[4,5,1,8,2,3,7,6]
[7,6,4,8,1,2,5,3]=>[3,5,2,1,8,4,6,7]
[7,5,4,8,3,2,6,1]=>[1,6,2,3,8,4,5,7]
[7,8,4,3,1,6,2,5]=>[5,2,6,1,3,4,8,7]
[8,7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7,8]
[8,6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6,8]
[3,8,5,6,2,7,1,4]=>[4,1,7,2,6,5,8,3]
[2,4,5,8,7,3,1,6]=>[6,1,3,7,8,5,4,2]
[2,4,5,8,6,7,1,3]=>[3,1,7,6,8,5,4,2]
[4,3,1,5,6,2,8,7]=>[7,8,2,6,5,1,3,4]
[4,1,5,8,6,7,2,3]=>[3,2,7,6,8,5,1,4]
[4,3,7,6,1,2,8,5]=>[5,8,2,1,6,7,3,4]
[4,7,5,6,1,2,8,3]=>[3,8,2,1,6,5,7,4]
[4,3,7,5,6,2,8,1]=>[1,8,2,6,5,7,3,4]
[4,5,1,8,6,7,3,2]=>[2,3,7,6,8,1,5,4]
[3,4,5,8,6,7,2,1]=>[1,2,7,6,8,5,4,3]
[2,1,5,8,6,7,4,3]=>[3,4,7,6,8,5,1,2]
[3,4,5,8,7,1,2,6]=>[6,2,1,7,8,5,4,3]
[4,7,1,5,6,2,8,3]=>[3,8,2,6,5,1,7,4]
[2,6,4,7,1,3,8,5]=>[5,8,3,1,7,4,6,2]
[5,3,8,6,4,7,2,1]=>[1,2,7,4,6,8,3,5]
[6,4,1,5,7,8,3,2]=>[2,3,8,7,5,1,4,6]
[3,6,4,7,2,1,8,5]=>[5,8,1,2,7,4,6,3]
[3,8,4,6,1,7,2,5]=>[5,2,7,1,6,4,8,3]
[3,8,5,6,4,7,2,1]=>[1,2,7,4,6,5,8,3]
[3,8,4,5,6,7,2,1]=>[1,2,7,6,5,4,8,3]
[3,8,6,5,2,7,4,1]=>[1,4,7,2,5,6,8,3]
[3,8,7,5,2,1,4,6]=>[6,4,1,2,5,7,8,3]
[3,8,6,5,1,7,2,4]=>[4,2,7,1,5,6,8,3]
[6,4,1,7,3,2,8,5]=>[5,8,2,3,7,1,4,6]
[5,1,4,6,7,2,8,3]=>[3,8,2,7,6,4,1,5]
[6,5,4,7,1,3,8,2]=>[2,8,3,1,7,4,5,6]
[2,1,6,5,3,7,8,4]=>[4,8,7,3,5,6,1,2]
[6,1,4,7,2,3,8,5]=>[5,8,3,2,7,4,1,6]
[1,6,2,5,4,8,3,7]=>[7,3,8,4,5,2,6,1]
[4,1,2,7,5,8,3,6]=>[6,3,8,5,7,2,1,4]
[6,1,3,5,8,2,4,7]=>[7,4,2,8,5,3,1,6]
[5,6,4,3,1,8,2,7]=>[7,2,8,1,3,4,6,5]
[6,2,3,5,8,1,4,7]=>[7,4,1,8,5,3,2,6]
[6,7,2,3,8,4,5,1]=>[1,5,4,8,3,2,7,6]
[6,7,2,1,3,8,4,5]=>[5,4,8,3,1,2,7,6]
[5,7,4,1,8,3,2,6]=>[6,2,3,8,1,4,7,5]
[4,1,7,5,8,3,6,2]=>[2,6,3,8,5,7,1,4]
[6,7,1,3,8,4,5,2]=>[2,5,4,8,3,1,7,6]
[1,6,7,4,3,8,5,2]=>[2,5,8,3,4,7,6,1]
[6,1,7,4,2,8,5,3]=>[3,5,8,2,4,7,1,6]
[2,1,6,7,4,3,8,5]=>[5,8,3,4,7,6,1,2]
[6,7,3,2,1,8,4,5]=>[5,4,8,1,2,3,7,6]
[2,5,7,3,1,4,8,6]=>[6,8,4,1,3,7,5,2]
[6,7,3,2,8,4,5,1]=>[1,5,4,8,2,3,7,6]
[1,2,6,7,4,3,8,5]=>[5,8,3,4,7,6,2,1]
[2,7,1,8,4,6,3,5]=>[5,3,6,4,8,1,7,2]
[2,7,5,8,1,6,3,4]=>[4,3,6,1,8,5,7,2]
[6,7,1,8,4,5,3,2]=>[2,3,5,4,8,1,7,6]
[8,3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3,8]
[8,7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7,8]
[8,2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2,8]
[8,2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2,8]
[8,2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2,8]
[8,7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7,8]
[8,7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7,8]
[8,4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4,8]
[8,4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4,8]
[8,3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3,8]
[8,7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7,8]
[8,7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7,8]
[8,7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7,8]
[8,6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6,8]
[8,4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4,8]
[8,5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5,8]
[8,5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5,8]
[8,4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4,8]
[8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]
[8,4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4,8]
[8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]
[8,5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5,8]
[8,5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5,8]
[8,6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6,8]
[8,6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6,8]
[8,5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5,8]
[8,5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5,8]
[8,5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5,8]
[8,6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6,8]
[2,4,5,8,3,1,6,7]=>[7,6,1,3,8,5,4,2]
[2,7,4,6,1,5,8,3]=>[3,8,5,1,6,4,7,2]
[2,6,3,7,1,8,5,4]=>[4,5,8,1,7,3,6,2]
[2,5,3,4,8,1,6,7]=>[7,6,1,8,4,3,5,2]
[2,4,3,8,5,1,6,7]=>[7,6,1,5,8,3,4,2]
[2,3,8,4,5,1,6,7]=>[7,6,1,5,4,8,3,2]
[6,8,2,4,5,3,1,7]=>[7,1,3,5,4,2,8,6]
[8,7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7,8]
[7,8,3,2,5,4,6,1]=>[1,6,4,5,2,3,8,7]
[7,2,8,3,5,4,6,1]=>[1,6,4,5,3,8,2,7]
[6,2,5,4,8,3,1,7]=>[7,1,3,8,4,5,2,6]
[5,2,6,7,3,8,1,4]=>[4,1,8,3,7,6,2,5]
[5,4,7,6,3,1,8,2]=>[2,8,1,3,6,7,4,5]
[1,5,6,7,3,8,2,4]=>[4,2,8,3,7,6,5,1]
[1,6,5,4,8,3,2,7]=>[7,2,3,8,4,5,6,1]
[1,6,4,8,5,3,2,7]=>[7,2,3,5,8,4,6,1]
[8,2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2,8]
[1,7,3,5,8,4,6,2]=>[2,6,4,8,5,3,7,1]
[6,3,1,7,4,5,8,2]=>[2,8,5,4,7,1,3,6]
[7,2,1,6,4,8,5,3]=>[3,5,8,4,6,1,2,7]
[7,2,3,5,8,4,6,1]=>[1,6,4,8,5,3,2,7]
[4,8,3,1,2,5,6,7]=>[7,6,5,2,1,3,8,4]
[4,8,1,3,2,5,6,7]=>[7,6,5,2,3,1,8,4]
[6,5,4,8,2,3,1,7]=>[7,1,3,2,8,4,5,6]
[7,5,8,3,2,4,6,1]=>[1,6,4,2,3,8,5,7]
[8,7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7,8]
[8,7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7,8]
[7,1,8,3,4,6,5,2]=>[2,5,6,4,3,8,1,7]
[4,1,5,3,8,6,2,7]=>[7,2,6,8,3,5,1,4]
[3,8,7,2,4,6,5,1]=>[1,5,6,4,2,7,8,3]
[4,6,5,1,8,3,2,7]=>[7,2,3,8,1,5,6,4]
[6,5,7,1,3,2,8,4]=>[4,8,2,3,1,7,5,6]
[2,7,3,6,4,8,5,1]=>[1,5,8,4,6,3,7,2]
[3,7,1,5,8,4,6,2]=>[2,6,4,8,5,1,7,3]
[3,8,4,1,2,5,6,7]=>[7,6,5,2,1,4,8,3]
[3,8,1,4,2,5,6,7]=>[7,6,5,2,4,1,8,3]
[2,1,8,4,3,5,6,7]=>[7,6,5,3,4,8,1,2]
[3,2,7,6,4,8,5,1]=>[1,5,8,4,6,7,2,3]
[3,1,6,7,4,5,8,2]=>[2,8,5,4,7,6,1,3]
[1,3,7,6,4,8,5,2]=>[2,5,8,4,6,7,3,1]
[1,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,1]
[3,1,8,7,6,4,2,5]=>[5,2,4,6,7,8,1,3]
[3,1,8,7,5,4,2,6]=>[6,2,4,5,7,8,1,3]
[3,1,7,6,5,4,2,8]=>[8,2,4,5,6,7,1,3]
[4,7,1,6,5,3,2,8]=>[8,2,3,5,6,1,7,4]
[4,8,1,6,5,3,2,7]=>[7,2,3,5,6,1,8,4]
[8,4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4,8]
[5,4,1,8,6,3,2,7]=>[7,2,3,6,8,1,4,5]
[5,4,1,7,6,3,2,8]=>[8,2,3,6,7,1,4,5]
[6,4,1,8,5,3,2,7]=>[7,2,3,5,8,1,4,6]
[8,4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4,8]
[7,4,1,6,5,3,2,8]=>[8,2,3,5,6,1,4,7]
[7,5,6,1,4,3,2,8]=>[8,2,3,4,1,6,5,7]
[8,5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5,8]
[8,5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5,8]
[5,7,6,1,4,3,2,8]=>[8,2,3,4,1,6,7,5]
[5,8,6,1,4,3,2,7]=>[7,2,3,4,1,6,8,5]
[6,7,5,1,4,3,2,8]=>[8,2,3,4,1,5,7,6]
[8,7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7,8]
[8,6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6,8]
[3,1,5,2,7,6,4,8]=>[8,4,6,7,2,5,1,3]
[3,1,6,7,8,5,4,2]=>[2,4,5,8,7,6,1,3]
[8,6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6,8]
[1,8,6,3,4,2,5,7]=>[7,5,2,4,3,6,8,1]
[3,1,6,4,5,8,7,2]=>[2,7,8,5,4,6,1,3]
[3,1,6,4,5,2,7,8]=>[8,7,2,5,4,6,1,3]
[3,1,6,7,8,5,2,4]=>[4,2,5,8,7,6,1,3]
[3,1,6,4,5,8,2,7]=>[7,2,8,5,4,6,1,3]
[3,1,6,4,5,7,2,8]=>[8,2,7,5,4,6,1,3]
[3,1,6,4,5,7,8,2]=>[2,8,7,5,4,6,1,3]
[8,1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1,8]
[1,8,6,3,4,2,7,5]=>[5,7,2,4,3,6,8,1]
[4,6,7,3,2,1,8,5]=>[5,8,1,2,3,7,6,4]
[4,6,8,7,2,5,1,3]=>[3,1,5,2,7,8,6,4]
[4,6,8,3,5,2,1,7]=>[7,1,2,5,3,8,6,4]
[5,6,3,7,4,2,8,1]=>[1,8,2,4,7,3,6,5]
[6,2,3,7,5,1,8,4]=>[4,8,1,5,7,3,2,6]
[6,2,3,1,7,5,8,4]=>[4,8,5,7,1,3,2,6]
[7,6,3,1,4,8,5,2]=>[2,5,8,4,1,3,6,7]
[6,1,7,3,5,2,8,4]=>[4,8,2,5,3,7,1,6]
[7,1,6,3,4,5,2,8]=>[8,2,5,4,3,6,1,7]
[7,1,6,3,4,5,8,2]=>[2,8,5,4,3,6,1,7]
[8,6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6,8]
[7,6,3,8,4,5,2,1]=>[1,2,5,4,8,3,6,7]
[6,2,7,8,5,4,3,1]=>[1,3,4,5,8,7,2,6]
[6,8,1,7,4,5,3,2]=>[2,3,5,4,7,1,8,6]
[5,2,1,4,7,6,8,3]=>[3,8,6,7,4,1,2,5]
[5,2,1,4,7,3,8,6]=>[6,8,3,7,4,1,2,5]
[4,2,5,1,7,6,3,8]=>[8,3,6,7,1,5,2,4]
[8,2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2,8]
[5,2,7,8,1,4,3,6]=>[6,3,4,1,8,7,2,5]
[5,2,7,6,8,4,3,1]=>[1,3,4,8,6,7,2,5]
[5,6,3,8,4,1,2,7]=>[7,2,1,4,8,3,6,5]
[4,6,7,3,5,1,8,2]=>[2,8,1,5,3,7,6,4]
[4,6,7,3,5,1,2,8]=>[8,2,1,5,3,7,6,4]
[4,7,6,3,1,2,8,5]=>[5,8,2,1,3,6,7,4]
[7,2,3,6,1,5,8,4]=>[4,8,5,1,6,3,2,7]
[8,2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2,8]
[5,2,3,4,7,1,6,8]=>[8,6,1,7,4,3,2,5]
[5,2,3,4,8,1,7,6]=>[6,7,1,8,4,3,2,5]
[5,2,3,7,1,6,8,4]=>[4,8,6,1,7,3,2,5]
[5,2,3,4,7,8,1,6]=>[6,1,8,7,4,3,2,5]
[8,7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7,8]
[3,7,4,2,5,1,6,8]=>[8,6,1,5,2,4,7,3]
[1,4,7,8,5,2,3,6]=>[6,3,2,5,8,7,4,1]
[3,2,6,7,4,1,5,8]=>[8,5,1,4,7,6,2,3]
[6,7,3,5,1,8,4,2]=>[2,4,8,1,5,3,7,6]
[7,6,3,5,2,1,4,8]=>[8,4,1,2,5,3,6,7]
[4,6,3,2,5,8,1,7]=>[7,1,8,5,2,3,6,4]
[2,6,8,7,4,1,3,5]=>[5,3,1,4,7,8,6,2]
[5,8,3,7,6,4,1,2]=>[2,1,4,6,7,3,8,5]
[6,5,1,7,2,4,8,3]=>[3,8,4,2,7,1,5,6]
[3,6,7,1,4,2,5,8]=>[8,5,2,4,1,7,6,3]
[4,7,5,8,2,1,3,6]=>[6,3,1,2,8,5,7,4]
[6,1,5,2,7,4,3,8]=>[8,3,4,7,2,5,1,6]
[8,1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1,8]
[6,5,1,8,3,7,2,4]=>[4,2,7,3,8,1,5,6]
[8,1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1,8]
[1,8,3,6,5,4,2,7]=>[7,2,4,5,6,3,8,1]
[7,6,1,5,4,3,2,8]=>[8,2,3,4,5,1,6,7]
[4,6,5,2,8,1,3,7]=>[7,3,1,8,2,5,6,4]
[5,3,1,7,4,6,2,8]=>[8,2,6,4,7,1,3,5]
[1,8,7,5,3,2,6,4]=>[4,6,2,3,5,7,8,1]
[5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]
[4,7,6,2,5,1,3,8]=>[8,3,1,5,2,6,7,4]
[4,7,3,1,5,6,8,2]=>[2,8,6,5,1,3,7,4]
[7,8,1,5,4,2,3,6]=>[6,3,2,4,5,1,8,7]
[2,1,8,4,5,6,3,7]=>[7,3,6,5,4,8,1,2]
[2,7,5,1,4,6,3,8]=>[8,3,6,4,1,5,7,2]
[7,2,1,4,5,3,8,6]=>[6,8,3,5,4,1,2,7]
[3,4,6,8,1,5,7,2]=>[2,7,5,1,8,6,4,3]
[4,2,5,6,1,3,7,8]=>[8,7,3,1,6,5,2,4]
[5,7,6,1,4,3,8,2]=>[2,8,3,4,1,6,7,5]
[6,8,1,7,5,4,2,3]=>[3,2,4,5,7,1,8,6]
[7,6,3,1,2,8,5,4]=>[4,5,8,2,1,3,6,7]
[5,6,7,1,4,2,8,3]=>[3,8,2,4,1,7,6,5]
[6,3,5,7,1,4,2,8]=>[8,2,4,1,7,5,3,6]
[5,2,6,7,4,8,1,3]=>[3,1,8,4,7,6,2,5]
[6,7,5,2,4,1,3,8]=>[8,3,1,4,2,5,7,6]
[5,7,6,1,3,4,8,2]=>[2,8,4,3,1,6,7,5]
[7,5,6,4,8,1,3,2]=>[2,3,1,8,4,6,5,7]
[1,7,5,2,6,4,8,3]=>[3,8,4,6,2,5,7,1]
[7,1,3,6,8,2,4,5]=>[5,4,2,8,6,3,1,7]
[1,2,5,7,8,4,6,3]=>[3,6,4,8,7,5,2,1]
[3,1,2,7,5,4,8,6]=>[6,8,4,5,7,2,1,3]
[6,7,4,1,3,2,8,5]=>[5,8,2,3,1,4,7,6]
[1,7,2,8,4,3,5,6]=>[6,5,3,4,8,2,7,1]
[1,6,3,5,7,8,2,4]=>[4,2,8,7,5,3,6,1]
[8,6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6,8]
[7,6,4,1,8,3,2,5]=>[5,2,3,8,1,4,6,7]
[8,4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4,8]
[1,5,3,4,7,8,2,6]=>[6,2,8,7,4,3,5,1]
[4,2,1,5,7,8,3,6]=>[6,3,8,7,5,1,2,4]
[5,4,1,6,7,8,2,3]=>[3,2,8,7,6,1,4,5]
[5,1,4,6,7,8,2,3]=>[3,2,8,7,6,4,1,5]
[4,1,5,3,7,8,2,6]=>[6,2,8,7,3,5,1,4]
[8,1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1,8]
[7,1,5,4,6,3,2,8]=>[8,2,3,6,4,5,1,7]
[8,2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2,8]
[1,2,4,7,6,3,8,5]=>[5,8,3,6,7,4,2,1]
[6,7,4,1,8,5,2,3]=>[3,2,5,8,1,4,7,6]
[8,6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6,8]
[5,2,4,3,7,1,6,8]=>[8,6,1,7,3,4,2,5]
[6,1,5,4,8,3,2,7]=>[7,2,3,8,4,5,1,6]
[1,2,8,7,4,3,6,5]=>[5,6,3,4,7,8,2,1]
[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]
[1,3,6,4,7,8,2,5]=>[5,2,8,7,4,6,3,1]
[4,5,1,3,7,8,2,6]=>[6,2,8,7,3,1,5,4]
[5,2,3,1,7,8,4,6]=>[6,4,8,7,1,3,2,5]
[1,6,4,3,7,8,2,5]=>[5,2,8,7,3,4,6,1]
[7,6,4,3,1,5,2,8]=>[8,2,5,1,3,4,6,7]
[7,5,4,6,1,3,2,8]=>[8,2,3,1,6,4,5,7]
[8,4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4,8]
[1,5,6,3,7,8,2,4]=>[4,2,8,7,3,6,5,1]
[6,8,3,5,7,2,4,1]=>[1,4,2,7,5,3,8,6]
[1,5,2,4,3,8,7,6]=>[6,7,8,3,4,2,5,1]
[8,6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6,8]
[8,5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5,8]
[1,6,3,8,4,5,7,2]=>[2,7,5,4,8,3,6,1]
[7,5,4,2,6,3,8,1]=>[1,8,3,6,2,4,5,7]
[7,1,4,3,2,8,6,5]=>[5,6,8,2,3,4,1,7]
[2,3,8,4,7,5,6,1]=>[1,6,5,7,4,8,3,2]
[3,7,2,8,6,4,5,1]=>[1,5,4,6,8,2,7,3]
[3,7,2,4,8,5,6,1]=>[1,6,5,8,4,2,7,3]
[3,7,4,6,2,5,8,1]=>[1,8,5,2,6,4,7,3]
[6,2,7,3,1,8,4,5]=>[5,4,8,1,3,7,2,6]
[6,3,7,5,8,2,4,1]=>[1,4,2,8,5,7,3,6]
[4,3,7,8,6,2,5,1]=>[1,5,2,6,8,7,3,4]
[3,8,1,7,5,2,4,6]=>[6,4,2,5,7,1,8,3]
[8,2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2,8]
[2,4,7,8,6,1,5,3]=>[3,5,1,6,8,7,4,2]
[2,6,7,3,8,5,1,4]=>[4,1,5,8,3,7,6,2]
[2,4,8,5,1,7,3,6]=>[6,3,7,1,5,8,4,2]
[2,8,3,5,1,6,4,7]=>[7,4,6,1,5,3,8,2]
[8,2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2,8]
[8,2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2,8]
[2,8,3,5,1,4,6,7]=>[7,6,4,1,5,3,8,2]
[3,4,6,2,5,7,8,1]=>[1,8,7,5,2,6,4,3]
[4,5,2,6,1,7,8,3]=>[3,8,7,1,6,2,5,4]
[3,6,5,7,8,1,2,4]=>[4,2,1,8,7,5,6,3]
[4,5,3,8,2,1,7,6]=>[6,7,1,2,8,3,5,4]
[4,8,3,2,5,1,6,7]=>[7,6,1,5,2,3,8,4]
[2,5,4,8,3,7,1,6]=>[6,1,7,3,8,4,5,2]
[5,8,3,1,7,4,2,6]=>[6,2,4,7,1,3,8,5]
[5,4,8,6,1,3,2,7]=>[7,2,3,1,6,8,4,5]
[4,7,5,2,6,8,3,1]=>[1,3,8,6,2,5,7,4]
[5,7,4,2,8,6,3,1]=>[1,3,6,8,2,4,7,5]
[4,6,2,3,8,5,7,1]=>[1,7,5,8,3,2,6,4]
[3,7,2,4,5,6,8,1]=>[1,8,6,5,4,2,7,3]
[6,2,7,1,4,5,8,3]=>[3,8,5,4,1,7,2,6]
[5,2,7,1,3,8,6,4]=>[4,6,8,3,1,7,2,5]
[4,3,7,8,2,5,6,1]=>[1,6,5,2,8,7,3,4]
[6,3,8,5,1,2,4,7]=>[7,4,2,1,5,8,3,6]
[8,5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5,8]
[5,2,4,7,1,6,8,3]=>[3,8,6,1,7,4,2,5]
[4,3,5,8,2,7,1,6]=>[6,1,7,2,8,5,3,4]
[4,3,8,2,5,6,1,7]=>[7,1,6,5,2,8,3,4]
[3,8,1,2,4,7,5,6]=>[6,5,7,4,2,1,8,3]
[1,4,6,2,7,5,3,8]=>[8,3,5,7,2,6,4,1]
[8,2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2,8]
[1,7,4,6,8,3,5,2]=>[2,5,3,8,6,4,7,1]
[8,2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2,8]
[7,3,1,2,5,6,4,8]=>[8,4,6,5,2,1,3,7]
[7,2,4,1,5,8,6,3]=>[3,6,8,5,1,4,2,7]
[7,8,2,1,5,4,6,3]=>[3,6,4,5,1,2,8,7]
[1,4,2,8,6,5,3,7]=>[7,3,5,6,8,2,4,1]
[1,4,8,5,2,6,3,7]=>[7,3,6,2,5,8,4,1]
[1,5,2,4,6,3,8,7]=>[7,8,3,6,4,2,5,1]
[1,8,5,3,2,6,4,7]=>[7,4,6,2,3,5,8,1]
[6,4,1,3,2,5,8,7]=>[7,8,5,2,3,1,4,6]
[5,2,3,7,8,1,6,4]=>[4,6,1,8,7,3,2,5]
[5,2,8,6,3,1,7,4]=>[4,7,1,3,6,8,2,5]
[6,2,3,5,1,8,7,4]=>[4,7,8,1,5,3,2,6]
[7,6,3,4,2,8,1,5]=>[5,1,8,2,4,3,6,7]
[6,2,4,5,7,8,1,3]=>[3,1,8,7,5,4,2,6]
[8,6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6,8]
[6,2,5,3,7,1,8,4]=>[4,8,1,7,3,5,2,6]
[8,5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5,8]
[4,5,7,8,6,2,1,3]=>[3,1,2,6,8,7,5,4]
[1,2,8,4,3,6,7,5]=>[5,7,6,3,4,8,2,1]
[1,8,3,2,4,6,7,5]=>[5,7,6,4,2,3,8,1]
[1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]
[1,2,7,4,5,3,8,6]=>[6,8,3,5,4,7,2,1]
[1,7,3,2,6,8,4,5]=>[5,4,8,6,2,3,7,1]
[8,2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2,8]
[7,2,1,3,6,8,4,5]=>[5,4,8,6,3,1,2,7]
[6,2,1,7,8,3,4,5]=>[5,4,3,8,7,1,2,6]
[4,6,5,2,7,1,8,3]=>[3,8,1,7,2,5,6,4]
[6,7,2,5,3,1,8,4]=>[4,8,1,3,5,2,7,6]
[3,7,2,5,4,1,8,6]=>[6,8,1,4,5,2,7,3]
[7,4,2,6,3,1,8,5]=>[5,8,1,3,6,2,4,7]
[2,6,4,7,5,1,8,3]=>[3,8,1,5,7,4,6,2]
[3,4,7,6,5,1,8,2]=>[2,8,1,5,6,7,4,3]
[3,4,7,6,2,8,5,1]=>[1,5,8,2,6,7,4,3]
[4,7,8,2,6,5,3,1]=>[1,3,5,6,2,8,7,4]
[4,7,8,1,6,5,3,2]=>[2,3,5,6,1,8,7,4]
[3,6,7,1,5,4,2,8]=>[8,2,4,5,1,7,6,3]
[3,5,8,6,1,4,2,7]=>[7,2,4,1,6,8,5,3]
[1,6,4,7,2,8,5,3]=>[3,5,8,2,7,4,6,1]
[1,3,7,5,2,8,4,6]=>[6,4,8,2,5,7,3,1]
[1,4,7,6,3,8,5,2]=>[2,5,8,3,6,7,4,1]
[1,7,8,2,6,5,4,3]=>[3,4,5,6,2,8,7,1]
[1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]
[1,8,2,6,5,4,3,7]=>[7,3,4,5,6,2,8,1]
[1,3,8,2,7,5,4,6]=>[6,4,5,7,2,8,3,1]
[1,8,4,2,7,6,3,5]=>[5,3,6,7,2,4,8,1]
[2,6,1,7,5,4,3,8]=>[8,3,4,5,7,1,6,2]
[2,7,1,6,5,4,3,8]=>[8,3,4,5,6,1,7,2]
[8,7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7,8]
[8,2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2,8]
[7,4,2,8,1,6,3,5]=>[5,3,6,1,8,2,4,7]
[5,2,8,6,1,4,3,7]=>[7,3,4,1,6,8,2,5]
[8,3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3,8]
[7,3,8,1,6,5,4,2]=>[2,4,5,6,1,8,3,7]
[7,3,8,2,6,5,4,1]=>[1,4,5,6,2,8,3,7]
[4,6,5,3,1,7,2,8]=>[8,2,7,1,3,5,6,4]
[5,3,6,1,2,8,7,4]=>[4,7,8,2,1,6,3,5]
[3,5,4,1,2,8,7,6]=>[6,7,8,2,1,4,5,3]
[4,6,5,1,2,8,7,3]=>[3,7,8,2,1,5,6,4]
[6,8,1,2,7,5,3,4]=>[4,3,5,7,2,1,8,6]
[4,6,2,3,8,7,5,1]=>[1,5,7,8,3,2,6,4]
[3,2,7,4,8,6,5,1]=>[1,5,6,8,4,7,2,3]
[8,1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1,8]
[5,2,1,7,3,8,6,4]=>[4,6,8,3,7,1,2,5]
[6,1,2,8,5,4,3,7]=>[7,3,4,5,8,2,1,6]
[7,1,3,8,6,5,4,2]=>[2,4,5,6,8,3,1,7]
[7,2,3,8,6,5,4,1]=>[1,4,5,6,8,3,2,7]
[8,1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1,8]
[1,3,7,4,8,6,5,2]=>[2,5,6,8,4,7,3,1]
[2,4,1,8,7,3,6,5]=>[5,6,3,7,8,1,4,2]
[2,8,5,1,7,3,6,4]=>[4,6,3,7,1,5,8,2]
[3,5,1,7,2,6,4,8]=>[8,4,6,2,7,1,5,3]
[2,8,1,5,4,3,7,6]=>[6,7,3,4,5,1,8,2]
[2,8,6,1,5,4,3,7]=>[7,3,4,5,1,6,8,2]
[2,6,1,5,8,4,3,7]=>[7,3,4,8,5,1,6,2]
[2,8,1,5,4,3,6,7]=>[7,6,3,4,5,1,8,2]
[7,4,6,1,5,3,2,8]=>[8,2,3,5,1,6,4,7]
[8,4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4,8]
[7,3,8,6,1,5,4,2]=>[2,4,5,1,6,8,3,7]
[3,5,1,6,8,4,2,7]=>[7,2,4,8,6,1,5,3]
[3,5,1,7,8,2,6,4]=>[4,6,2,8,7,1,5,3]
[3,7,8,6,1,5,4,2]=>[2,4,5,1,6,8,7,3]
[7,8,4,6,1,5,3,2]=>[2,3,5,1,6,4,8,7]
[4,6,1,5,3,2,7,8]=>[8,7,2,3,5,1,6,4]
[5,4,7,8,2,1,6,3]=>[3,6,1,2,8,7,4,5]
[5,4,6,8,3,2,1,7]=>[7,1,2,3,8,6,4,5]
[6,4,5,8,3,2,1,7]=>[7,1,2,3,8,5,4,6]
[7,4,5,8,2,1,6,3]=>[3,6,1,2,8,5,4,7]
[7,4,6,8,1,5,3,2]=>[2,3,5,1,8,6,4,7]
[5,3,6,1,8,4,2,7]=>[7,2,4,8,1,6,3,5]
[6,3,8,7,1,5,4,2]=>[2,4,5,1,7,8,3,6]
[8,6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6,8]
[6,4,7,1,5,3,2,8]=>[8,2,3,5,1,7,4,6]
[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]
[8,4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4,8]
[8,5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5,8]
[3,4,6,2,1,8,5,7]=>[7,5,8,1,2,6,4,3]
[4,5,7,2,1,6,3,8]=>[8,3,6,1,2,7,5,4]
[4,6,7,1,5,3,2,8]=>[8,2,3,5,1,7,6,4]
[5,6,4,8,3,2,1,7]=>[7,1,2,3,8,4,6,5]
[5,7,4,8,2,1,6,3]=>[3,6,1,2,8,4,7,5]
[4,7,6,8,1,5,3,2]=>[2,3,5,1,8,6,7,4]
[4,7,5,8,2,1,6,3]=>[3,6,1,2,8,5,7,4]
[3,6,1,7,2,8,5,4]=>[4,5,8,2,7,1,6,3]
[5,7,4,2,6,3,8,1]=>[1,8,3,6,2,4,7,5]
[5,7,4,1,6,2,8,3]=>[3,8,2,6,1,4,7,5]
[7,8,3,1,5,2,6,4]=>[4,6,2,5,1,3,8,7]
[8,3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3,8]
[6,8,7,3,1,4,2,5]=>[5,2,4,1,3,7,8,6]
[8,5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5,8]
[4,5,1,6,7,8,3,2]=>[2,3,8,7,6,1,5,4]
[5,8,2,6,7,4,1,3]=>[3,1,4,7,6,2,8,5]
[5,6,8,2,1,7,3,4]=>[4,3,7,1,2,8,6,5]
[6,4,8,7,2,1,3,5]=>[5,3,1,2,7,8,4,6]
[4,5,2,6,1,3,8,7]=>[7,8,3,1,6,2,5,4]
[5,1,6,8,2,7,3,4]=>[4,3,7,2,8,6,1,5]
[5,2,6,3,4,7,8,1]=>[1,8,7,4,3,6,2,5]
[4,6,2,3,5,7,8,1]=>[1,8,7,5,3,2,6,4]
[8,3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3,8]
[8,2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2,8]
[2,8,6,7,3,1,4,5]=>[5,4,1,3,7,6,8,2]
[8,4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4,8]
[3,4,6,7,2,5,8,1]=>[1,8,5,2,7,6,4,3]
[7,1,4,6,8,3,5,2]=>[2,5,3,8,6,4,1,7]
[7,8,2,6,1,4,5,3]=>[3,5,4,1,6,2,8,7]
[7,5,8,2,1,3,6,4]=>[4,6,3,1,2,8,5,7]
[3,7,1,5,6,8,4,2]=>[2,4,8,6,5,1,7,3]
[6,7,1,2,4,8,5,3]=>[3,5,8,4,2,1,7,6]
[1,6,3,4,7,8,5,2]=>[2,5,8,7,4,3,6,1]
[2,3,6,4,7,5,8,1]=>[1,8,5,7,4,6,3,2]
[2,5,3,7,4,6,8,1]=>[1,8,6,4,7,3,5,2]
[7,4,8,1,3,5,6,2]=>[2,6,5,3,1,8,4,7]
[4,2,7,3,5,6,8,1]=>[1,8,6,5,3,7,2,4]
[7,8,1,3,4,5,6,2]=>[2,6,5,4,3,1,8,7]
[8,7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7,8]
[1,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,1]
[4,7,3,2,8,1,5,6]=>[6,5,1,8,2,3,7,4]
[5,1,4,6,2,3,8,7]=>[7,8,3,2,6,4,1,5]
[6,1,4,5,2,3,8,7]=>[7,8,3,2,5,4,1,6]
[7,1,2,5,6,8,3,4]=>[4,3,8,6,5,2,1,7]
[7,1,2,6,3,8,5,4]=>[4,5,8,3,6,2,1,7]
[7,8,4,1,2,6,3,5]=>[5,3,6,2,1,4,8,7]
[8,1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1,8]
[8,1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1,8]
[4,8,6,3,1,2,7,5]=>[5,7,2,1,3,6,8,4]
[4,8,7,3,1,6,2,5]=>[5,2,6,1,3,7,8,4]
[4,7,8,3,1,6,2,5]=>[5,2,6,1,3,8,7,4]
[7,4,3,1,6,2,8,5]=>[5,8,2,6,1,3,4,7]
[8,4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4,8]
[7,4,3,1,8,6,2,5]=>[5,2,6,8,1,3,4,7]
[3,7,6,2,4,8,1,5]=>[5,1,8,4,2,6,7,3]
[8,3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3,8]
[4,3,7,2,8,6,1,5]=>[5,1,6,8,2,7,3,4]
[7,1,2,8,6,3,5,4]=>[4,5,3,6,8,2,1,7]
[6,1,2,7,4,3,8,5]=>[5,8,3,4,7,2,1,6]
[5,1,2,6,3,8,7,4]=>[4,7,8,3,6,2,1,5]
[5,1,2,7,3,8,6,4]=>[4,6,8,3,7,2,1,5]
[6,1,2,7,3,5,8,4]=>[4,8,5,3,7,2,1,6]
[8,3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3,8]
[7,3,6,2,1,8,4,5]=>[5,4,8,1,2,6,3,7]
[6,1,2,8,3,5,7,4]=>[4,7,5,3,8,2,1,6]
[7,5,3,2,1,8,6,4]=>[4,6,8,1,2,3,5,7]
[4,2,1,5,3,6,7,8]=>[8,7,6,3,5,1,2,4]
[6,2,5,4,1,8,7,3]=>[3,7,8,1,4,5,2,6]
[4,6,3,2,1,8,7,5]=>[5,7,8,1,2,3,6,4]
[6,5,3,2,1,8,7,4]=>[4,7,8,1,2,3,5,6]
[8,4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4,8]
[1,5,8,4,7,6,3,2]=>[2,3,6,7,4,8,5,1]
[3,2,7,4,8,6,1,5]=>[5,1,6,8,4,7,2,3]
[7,4,3,2,8,6,1,5]=>[5,1,6,8,2,3,4,7]
[6,8,3,7,5,2,1,4]=>[4,1,2,5,7,3,8,6]
[5,7,8,4,3,2,1,6]=>[6,1,2,3,4,8,7,5]
[6,4,3,8,5,2,1,7]=>[7,1,2,5,8,3,4,6]
[8,2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2,8]
[7,2,5,4,8,6,1,3]=>[3,1,6,8,4,5,2,7]
[4,5,3,2,8,6,1,7]=>[7,1,6,8,2,3,5,4]
[3,2,5,4,8,6,1,7]=>[7,1,6,8,4,5,2,3]
[3,2,8,6,5,4,1,7]=>[7,1,4,5,6,8,2,3]
[8,4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4,8]
[8,4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4,8]
[3,2,7,8,5,4,1,6]=>[6,1,4,5,8,7,2,3]
[6,8,7,4,3,2,1,5]=>[5,1,2,3,4,7,8,6]
[2,3,1,8,5,7,4,6]=>[6,4,7,5,8,1,3,2]
[3,6,1,4,8,7,2,5]=>[5,2,7,8,4,1,6,3]
[5,8,1,3,7,2,6,4]=>[4,6,2,7,3,1,8,5]
[4,7,5,1,8,2,6,3]=>[3,6,2,8,1,5,7,4]
[6,3,2,1,8,7,4,5]=>[5,4,7,8,1,2,3,6]
[6,2,3,1,8,7,4,5]=>[5,4,7,8,1,3,2,6]
[3,4,7,1,8,5,6,2]=>[2,6,5,8,1,7,4,3]
[3,4,8,1,7,5,6,2]=>[2,6,5,7,1,8,4,3]
[5,6,7,1,3,8,4,2]=>[2,4,8,3,1,7,6,5]
[7,2,5,1,8,3,6,4]=>[4,6,3,8,1,5,2,7]
[7,2,1,5,8,4,6,3]=>[3,6,4,8,5,1,2,7]
[6,1,4,5,8,2,7,3]=>[3,7,2,8,5,4,1,6]
[7,1,4,6,8,2,5,3]=>[3,5,2,8,6,4,1,7]
[8,2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2,8]
[4,2,8,1,7,5,6,3]=>[3,6,5,7,1,8,2,4]
[8,4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4,8]
[8,6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6,8]
[8,3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3,8]
[5,3,8,6,1,7,4,2]=>[2,4,7,1,6,8,3,5]
[7,3,1,5,2,8,6,4]=>[4,6,8,2,5,1,3,7]
[7,1,6,4,2,8,5,3]=>[3,5,8,2,4,6,1,7]
[3,7,4,1,5,8,6,2]=>[2,6,8,5,1,4,7,3]
[5,8,6,1,2,7,4,3]=>[3,4,7,2,1,6,8,5]
[6,8,1,4,3,7,5,2]=>[2,5,7,3,4,1,8,6]
[6,7,1,4,3,8,5,2]=>[2,5,8,3,4,1,7,6]
[4,7,1,5,3,8,6,2]=>[2,6,8,3,5,1,7,4]
[2,7,1,4,5,8,6,3]=>[3,6,8,5,4,1,7,2]
[6,8,1,2,4,7,5,3]=>[3,5,7,4,2,1,8,6]
[7,1,6,4,8,3,5,2]=>[2,5,3,8,4,6,1,7]
[7,1,6,3,4,8,5,2]=>[2,5,8,4,3,6,1,7]
[8,6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6,8]
[8,6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6,8]
[8,5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5,8]
[8,6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6,8]
[7,2,1,4,5,8,6,3]=>[3,6,8,5,4,1,2,7]
[7,1,5,3,6,8,4,2]=>[2,4,8,6,3,5,1,7]
[8,6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6,8]
[8,5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5,8]
[8,4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4,8]
[8,6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6,8]
[8,2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2,8]
[8,7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7,8]
[8,5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5,8]
[3,6,1,4,5,8,7,2]=>[2,7,8,5,4,1,6,3]
[4,6,1,3,8,7,2,5]=>[5,2,7,8,3,1,6,4]
[5,6,8,2,1,7,4,3]=>[3,4,7,1,2,8,6,5]
[7,1,3,8,4,2,5,6]=>[6,5,2,4,8,3,1,7]
[8,5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5,8]
[2,8,3,5,7,4,1,6]=>[6,1,4,7,5,3,8,2]
[2,8,4,1,3,6,7,5]=>[5,7,6,3,1,4,8,2]
[2,7,4,5,8,6,1,3]=>[3,1,6,8,5,4,7,2]
[1,4,7,2,8,6,5,3]=>[3,5,6,8,2,7,4,1]
[6,4,8,5,1,3,2,7]=>[7,2,3,1,5,8,4,6]
[1,6,7,8,5,2,4,3]=>[3,4,2,5,8,7,6,1]
[6,2,4,7,5,1,8,3]=>[3,8,1,5,7,4,2,6]
[8,1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1,8]
[8,1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1,8]
[8,2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2,8]
[7,1,3,4,2,8,6,5]=>[5,6,8,2,4,3,1,7]
[6,1,4,3,2,7,8,5]=>[5,8,7,2,3,4,1,6]
[6,1,5,2,3,8,7,4]=>[4,7,8,3,2,5,1,6]
[8,7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7,8]
[8,5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5,8]
[1,8,3,6,7,2,4,5]=>[5,4,2,7,6,3,8,1]
[3,1,8,6,4,2,5,7]=>[7,5,2,4,6,8,1,3]
[1,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,1]
[8,1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1,8]
[8,2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2,8]
[8,2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2,8]
[8,2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2,8]
[8,2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2,8]
[8,6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6,8]
[8,7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7,8]
[4,6,7,2,1,8,3,5]=>[5,3,8,1,2,7,6,4]
[4,5,8,1,3,6,7,2]=>[2,7,6,3,1,8,5,4]
[3,7,1,8,2,5,4,6]=>[6,4,5,2,8,1,7,3]
[4,5,8,6,1,3,7,2]=>[2,7,3,1,6,8,5,4]
[4,5,8,6,2,7,3,1]=>[1,3,7,2,6,8,5,4]
[4,6,7,1,5,3,8,2]=>[2,8,3,5,1,7,6,4]
[4,6,7,2,1,8,5,3]=>[3,5,8,1,2,7,6,4]
[4,2,5,6,7,8,3,1]=>[1,3,8,7,6,5,2,4]
[4,1,3,5,6,7,8,2]=>[2,8,7,6,5,3,1,4]
[3,7,8,4,5,1,6,2]=>[2,6,1,5,4,8,7,3]
[4,6,8,3,2,7,1,5]=>[5,1,7,2,3,8,6,4]
[4,6,8,2,3,7,1,5]=>[5,1,7,3,2,8,6,4]
[3,8,1,7,4,5,2,6]=>[6,2,5,4,7,1,8,3]
[4,5,8,3,7,1,2,6]=>[6,2,1,7,3,8,5,4]
[4,6,7,1,5,8,2,3]=>[3,2,8,5,1,7,6,4]
[3,7,8,4,6,2,5,1]=>[1,5,2,6,4,8,7,3]
[3,6,1,5,7,8,2,4]=>[4,2,8,7,5,1,6,3]
[3,8,2,5,4,7,1,6]=>[6,1,7,4,5,2,8,3]
[3,8,6,2,5,1,7,4]=>[4,7,1,5,2,6,8,3]
[4,5,8,6,2,1,7,3]=>[3,7,1,2,6,8,5,4]
[4,5,8,6,1,2,7,3]=>[3,7,2,1,6,8,5,4]
[4,6,8,5,2,7,1,3]=>[3,1,7,2,5,8,6,4]
[3,7,8,5,2,6,1,4]=>[4,1,6,2,5,8,7,3]
[3,7,8,5,4,1,6,2]=>[2,6,1,4,5,8,7,3]
[4,6,8,5,3,1,7,2]=>[2,7,1,3,5,8,6,4]
[7,8,2,3,5,4,1,6]=>[6,1,4,5,3,2,8,7]
[6,3,2,4,7,8,1,5]=>[5,1,8,7,4,2,3,6]
[2,8,1,5,7,4,6,3]=>[3,6,4,7,5,1,8,2]
[5,1,3,2,6,7,4,8]=>[8,4,7,6,2,3,1,5]
[6,7,2,4,8,3,1,5]=>[5,1,3,8,4,2,7,6]
[6,3,4,5,2,8,1,7]=>[7,1,8,2,5,4,3,6]
[4,5,6,8,3,7,1,2]=>[2,1,7,3,8,6,5,4]
[4,1,3,5,2,6,7,8]=>[8,7,6,2,5,3,1,4]
[1,5,7,4,6,3,8,2]=>[2,8,3,6,4,7,5,1]
[4,3,8,5,7,1,2,6]=>[6,2,1,7,5,8,3,4]
[1,6,5,3,7,2,8,4]=>[4,8,2,7,3,5,6,1]
[2,5,3,7,8,4,1,6]=>[6,1,4,8,7,3,5,2]
[5,1,3,7,6,4,8,2]=>[2,8,4,6,7,3,1,5]
[4,6,5,2,7,8,1,3]=>[3,1,8,7,2,5,6,4]
[4,6,5,1,7,3,2,8]=>[8,2,3,7,1,5,6,4]
[1,6,5,2,3,4,8,7]=>[7,8,4,3,2,5,6,1]
[1,6,5,3,4,2,8,7]=>[7,8,2,4,3,5,6,1]
[4,6,5,1,7,3,8,2]=>[2,8,3,7,1,5,6,4]
[5,7,3,1,2,4,8,6]=>[6,8,4,2,1,3,7,5]
[6,3,2,5,1,7,4,8]=>[8,4,7,1,5,2,3,6]
[6,1,2,4,8,5,3,7]=>[7,3,5,8,4,2,1,6]
[6,7,1,4,8,5,2,3]=>[3,2,5,8,4,1,7,6]
[5,8,3,2,1,4,6,7]=>[7,6,4,1,2,3,8,5]
[5,1,3,7,4,8,6,2]=>[2,6,8,4,7,3,1,5]
[6,3,1,7,2,5,8,4]=>[4,8,5,2,7,1,3,6]
[4,2,3,7,1,5,6,8]=>[8,6,5,1,7,3,2,4]
[3,4,8,5,1,2,7,6]=>[6,7,2,1,5,8,4,3]
[3,8,1,6,7,2,5,4]=>[4,5,2,7,6,1,8,3]
[4,5,7,6,3,8,1,2]=>[2,1,8,3,6,7,5,4]
[3,7,2,8,5,1,4,6]=>[6,4,1,5,8,2,7,3]
[1,6,5,3,7,8,2,4]=>[4,2,8,7,3,5,6,1]
[3,6,5,2,4,7,1,8]=>[8,1,7,4,2,5,6,3]
[2,6,5,1,4,3,7,8]=>[8,7,3,4,1,5,6,2]
[3,6,5,8,1,7,2,4]=>[4,2,7,1,8,5,6,3]
[1,6,5,3,7,8,4,2]=>[2,4,8,7,3,5,6,1]
[2,6,5,8,4,1,7,3]=>[3,7,1,4,8,5,6,2]
[2,3,5,1,8,6,4,7]=>[7,4,6,8,1,5,3,2]
[2,5,3,8,4,6,1,7]=>[7,1,6,4,8,3,5,2]
[5,2,7,3,4,6,1,8]=>[8,1,6,4,3,7,2,5]
[1,4,5,2,8,6,3,7]=>[7,3,6,8,2,5,4,1]
[1,3,5,8,6,4,7,2]=>[2,7,4,6,8,5,3,1]
[1,3,5,8,6,7,2,4]=>[4,2,7,6,8,5,3,1]
[6,1,7,4,8,5,3,2]=>[2,3,5,8,4,7,1,6]
[5,7,4,1,3,6,8,2]=>[2,8,6,3,1,4,7,5]
[8,4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4,8]
[7,4,3,1,6,5,8,2]=>[2,8,5,6,1,3,4,7]
[8,6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6,8]
[7,8,1,4,6,5,3,2]=>[2,3,5,6,4,1,8,7]
[7,8,6,1,4,5,3,2]=>[2,3,5,4,1,6,8,7]
[7,8,6,4,1,3,5,2]=>[2,5,3,1,4,6,8,7]
[5,1,7,6,3,4,2,8]=>[8,2,4,3,6,7,1,5]
[6,2,7,3,8,5,4,1]=>[1,4,5,8,3,7,2,6]
[6,7,3,4,8,1,5,2]=>[2,5,1,8,4,3,7,6]
[1,2,7,5,3,4,8,6]=>[6,8,4,3,5,7,2,1]
[7,2,8,3,6,4,5,1]=>[1,5,4,6,3,8,2,7]
[6,2,7,8,3,1,4,5]=>[5,4,1,3,8,7,2,6]
[2,7,3,5,1,8,4,6]=>[6,4,8,1,5,3,7,2]
[1,7,8,2,5,3,4,6]=>[6,4,3,5,2,8,7,1]
[3,7,8,1,2,5,6,4]=>[4,6,5,2,1,8,7,3]
[1,2,8,7,3,4,6,5]=>[5,6,4,3,7,8,2,1]
[8,7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7,8]
[8,2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2,8]
[8,1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1,8]
[3,8,1,5,7,2,6,4]=>[4,6,2,7,5,1,8,3]
[8,5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5,8]
[7,5,4,8,6,1,2,3]=>[3,2,1,6,8,4,5,7]
[7,1,8,6,4,5,2,3]=>[3,2,5,4,6,8,1,7]
[8,7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7,8]
[1,5,7,8,3,4,2,6]=>[6,2,4,3,8,7,5,1]
[2,6,8,1,4,5,3,7]=>[7,3,5,4,1,8,6,2]
[6,8,4,3,1,7,2,5]=>[5,2,7,1,3,4,8,6]
[8,4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4,8]
[4,8,1,3,7,5,6,2]=>[2,6,5,7,3,1,8,4]
[7,5,4,3,1,2,8,6]=>[6,8,2,1,3,4,5,7]
[6,2,5,4,8,1,7,3]=>[3,7,1,8,4,5,2,6]
[1,8,5,7,4,2,3,6]=>[6,3,2,4,7,5,8,1]
[2,1,6,8,5,3,4,7]=>[7,4,3,5,8,6,1,2]
[5,4,1,3,8,6,7,2]=>[2,7,6,8,3,1,4,5]
[4,5,1,3,8,6,7,2]=>[2,7,6,8,3,1,5,4]
[1,2,6,8,5,3,4,7]=>[7,4,3,5,8,6,2,1]
[5,6,8,3,7,1,2,4]=>[4,2,1,7,3,8,6,5]
[5,6,8,7,3,1,2,4]=>[4,2,1,3,7,8,6,5]
[6,7,5,3,8,1,2,4]=>[4,2,1,8,3,5,7,6]
[2,6,3,4,7,1,8,5]=>[5,8,1,7,4,3,6,2]
[6,2,3,4,7,1,8,5]=>[5,8,1,7,4,3,2,6]
[5,4,1,2,6,8,7,3]=>[3,7,8,6,2,1,4,5]
[8,5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5,8]
[6,8,5,7,3,1,2,4]=>[4,2,1,3,7,5,8,6]
[5,7,8,6,3,1,2,4]=>[4,2,1,3,6,8,7,5]
[5,1,4,2,6,8,7,3]=>[3,7,8,6,2,4,1,5]
[6,3,2,4,7,1,8,5]=>[5,8,1,7,4,2,3,6]
[1,5,6,8,4,2,3,7]=>[7,3,2,4,8,6,5,1]
[5,7,8,3,6,1,2,4]=>[4,2,1,6,3,8,7,5]
[8,4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4,8]
[4,8,1,2,5,7,6,3]=>[3,6,7,5,2,1,8,4]
[1,5,8,6,2,4,3,7]=>[7,3,4,2,6,8,5,1]
[1,5,3,7,2,6,8,4]=>[4,8,6,2,7,3,5,1]
[5,1,8,6,2,4,3,7]=>[7,3,4,2,6,8,1,5]
[8,5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5,8]
[5,8,6,3,7,1,2,4]=>[4,2,1,7,3,6,8,5]
[1,5,2,4,8,6,7,3]=>[3,7,6,8,4,2,5,1]
[1,5,4,2,6,8,7,3]=>[3,7,8,6,2,4,5,1]
[5,7,6,3,8,1,2,4]=>[4,2,1,8,3,6,7,5]
[5,7,6,8,3,1,2,4]=>[4,2,1,3,8,6,7,5]
[6,8,7,5,3,1,2,4]=>[4,2,1,3,5,7,8,6]
[6,5,7,3,8,1,2,4]=>[4,2,1,8,3,7,5,6]
[2,5,6,3,7,1,8,4]=>[4,8,1,7,3,6,5,2]
[1,2,5,3,6,8,7,4]=>[4,7,8,6,3,5,2,1]
[7,1,4,6,2,8,3,5]=>[5,3,8,2,6,4,1,7]
[6,8,7,2,1,5,3,4]=>[4,3,5,1,2,7,8,6]
[7,3,6,1,4,8,2,5]=>[5,2,8,4,1,6,3,7]
[7,8,1,6,5,3,4,2]=>[2,4,3,5,6,1,8,7]
[8,7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7,8]
[8,3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3,8]
[6,7,5,1,8,4,2,3]=>[3,2,4,8,1,5,7,6]
[8,2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2,8]
[3,8,4,2,6,1,7,5]=>[5,7,1,6,2,4,8,3]
[3,5,6,8,4,2,7,1]=>[1,7,2,4,8,6,5,3]
[2,5,4,1,6,8,7,3]=>[3,7,8,6,1,4,5,2]
[5,8,2,6,4,3,7,1]=>[1,7,3,4,6,2,8,5]
[2,8,6,3,4,1,7,5]=>[5,7,1,4,3,6,8,2]
[4,3,6,2,8,5,7,1]=>[1,7,5,8,2,6,3,4]
[4,6,8,2,1,3,7,5]=>[5,7,3,1,2,8,6,4]
[6,8,1,5,3,2,7,4]=>[4,7,2,3,5,1,8,6]
[1,7,2,3,5,8,6,4]=>[4,6,8,5,3,2,7,1]
[4,6,2,3,5,1,7,8]=>[8,7,1,5,3,2,6,4]
[4,2,8,7,5,3,6,1]=>[1,6,3,5,7,8,2,4]
[2,8,3,7,5,1,6,4]=>[4,6,1,5,7,3,8,2]
[4,1,8,6,5,2,7,3]=>[3,7,2,5,6,8,1,4]
[6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]
[2,8,5,4,1,6,7,3]=>[3,7,6,1,4,5,8,2]
[4,5,7,3,2,1,6,8]=>[8,6,1,2,3,7,5,4]
[3,2,8,1,6,7,5,4]=>[4,5,7,6,1,8,2,3]
[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]
[7,2,4,6,3,8,1,5]=>[5,1,8,3,6,4,2,7]
[2,8,3,1,4,7,6,5]=>[5,6,7,4,1,3,8,2]
[2,8,4,3,6,7,1,5]=>[5,1,7,6,3,4,8,2]
[6,4,7,2,8,3,5,1]=>[1,5,3,8,2,7,4,6]
[3,8,1,6,4,7,2,5]=>[5,2,7,4,6,1,8,3]
[7,3,2,5,6,1,8,4]=>[4,8,1,6,5,2,3,7]
[1,6,7,8,2,4,3,5]=>[5,3,4,2,8,7,6,1]
[4,1,2,8,5,3,7,6]=>[6,7,3,5,8,2,1,4]
[3,8,4,2,5,1,7,6]=>[6,7,1,5,2,4,8,3]
[3,8,4,2,7,5,6,1]=>[1,6,5,7,2,4,8,3]
[1,5,6,3,7,4,8,2]=>[2,8,4,7,3,6,5,1]
[2,6,3,1,4,5,7,8]=>[8,7,5,4,1,3,6,2]
[1,8,5,6,4,3,2,7]=>[7,2,3,4,6,5,8,1]
[2,8,3,5,6,4,1,7]=>[7,1,4,6,5,3,8,2]
[4,1,5,7,6,8,2,3]=>[3,2,8,6,7,5,1,4]
[7,6,8,3,2,5,1,4]=>[4,1,5,2,3,8,6,7]
[4,6,1,7,5,2,3,8]=>[8,3,2,5,7,1,6,4]
[3,1,7,2,6,5,4,8]=>[8,4,5,6,2,7,1,3]
[5,6,4,7,2,1,8,3]=>[3,8,1,2,7,4,6,5]
[2,8,7,1,3,6,5,4]=>[4,5,6,3,1,7,8,2]
[5,7,2,8,3,1,6,4]=>[4,6,1,3,8,2,7,5]
[2,7,8,1,6,4,5,3]=>[3,5,4,6,1,8,7,2]
[7,8,1,3,4,6,5,2]=>[2,5,6,4,3,1,8,7]
[2,7,1,4,5,3,8,6]=>[6,8,3,5,4,1,7,2]
[1,5,2,7,4,3,6,8]=>[8,6,3,4,7,2,5,1]
[5,1,3,8,4,6,2,7]=>[7,2,6,4,8,3,1,5]
[6,5,8,7,1,3,2,4]=>[4,2,3,1,7,8,5,6]
[2,7,3,5,1,6,8,4]=>[4,8,6,1,5,3,7,2]
[5,7,6,8,2,1,4,3]=>[3,4,1,2,8,6,7,5]
[1,3,6,5,2,7,4,8]=>[8,4,7,2,5,6,3,1]
[1,2,6,5,3,4,7,8]=>[8,7,4,3,5,6,2,1]
[1,7,2,5,6,8,3,4]=>[4,3,8,6,5,2,7,1]
[1,7,2,4,8,3,5,6]=>[6,5,3,8,4,2,7,1]
[1,6,2,4,5,3,7,8]=>[8,7,3,5,4,2,6,1]
[1,4,8,2,3,7,5,6]=>[6,5,7,3,2,8,4,1]
[1,3,2,8,4,5,7,6]=>[6,7,5,4,8,2,3,1]
[1,6,8,2,4,3,5,7]=>[7,5,3,4,2,8,6,1]
[1,6,7,2,5,3,4,8]=>[8,4,3,5,2,7,6,1]
[1,5,8,2,6,7,3,4]=>[4,3,7,6,2,8,5,1]
[1,8,2,3,6,7,4,5]=>[5,4,7,6,3,2,8,1]
[1,2,8,3,6,7,4,5]=>[5,4,7,6,3,8,2,1]
[1,3,4,8,2,6,7,5]=>[5,7,6,2,8,4,3,1]
[1,7,2,5,3,4,8,6]=>[6,8,4,3,5,2,7,1]
[1,6,2,3,5,4,7,8]=>[8,7,4,5,3,2,6,1]
[7,1,5,6,2,3,8,4]=>[4,8,3,2,6,5,1,7]
[8,2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2,8]
[7,2,6,1,3,4,8,5]=>[5,8,4,3,1,6,2,7]
[4,1,3,7,2,5,8,6]=>[6,8,5,2,7,3,1,4]
[6,2,7,5,1,3,8,4]=>[4,8,3,1,5,7,2,6]
[1,7,5,6,2,3,8,4]=>[4,8,3,2,6,5,7,1]
[3,7,6,1,2,4,8,5]=>[5,8,4,2,1,6,7,3]
[8,6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6,8]
[1,7,4,3,8,2,5,6]=>[6,5,2,8,3,4,7,1]
[6,1,5,3,4,8,2,7]=>[7,2,8,4,3,5,1,6]
[3,6,7,5,2,8,1,4]=>[4,1,8,2,5,7,6,3]
[7,8,4,1,5,6,2,3]=>[3,2,6,5,1,4,8,7]
[5,8,1,3,6,7,2,4]=>[4,2,7,6,3,1,8,5]
[2,8,4,3,7,1,5,6]=>[6,5,1,7,3,4,8,2]
[3,8,4,6,7,1,2,5]=>[5,2,1,7,6,4,8,3]
[6,3,8,4,7,1,2,5]=>[5,2,1,7,4,8,3,6]
[1,2,5,4,8,3,6,7]=>[7,6,3,8,4,5,2,1]
[7,1,3,8,2,4,5,6]=>[6,5,4,2,8,3,1,7]
[8,1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1,8]
[3,5,4,7,8,1,2,6]=>[6,2,1,8,7,4,5,3]
[8,3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3,8]
[1,6,4,7,8,2,3,5]=>[5,3,2,8,7,4,6,1]
[5,2,3,6,7,8,1,4]=>[4,1,8,7,6,3,2,5]
[6,2,7,3,8,5,1,4]=>[4,1,5,8,3,7,2,6]
[1,3,7,8,5,6,2,4]=>[4,2,6,5,8,7,3,1]
[8,2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2,8]
[8,1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1,8]
[2,5,8,4,7,1,3,6]=>[6,3,1,7,4,8,5,2]
[4,5,8,7,1,2,3,6]=>[6,3,2,1,7,8,5,4]
[4,1,8,5,7,2,3,6]=>[6,3,2,7,5,8,1,4]
[1,8,7,4,6,2,3,5]=>[5,3,2,6,4,7,8,1]
[2,6,5,4,1,8,3,7]=>[7,3,8,1,4,5,6,2]
[6,2,5,1,4,8,3,7]=>[7,3,8,4,1,5,2,6]
[6,5,4,1,3,8,2,7]=>[7,2,8,3,1,4,5,6]
[6,3,5,4,2,8,1,7]=>[7,1,8,2,4,5,3,6]
[1,3,8,7,4,2,6,5]=>[5,6,2,4,7,8,3,1]
[8,7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7,8]
[8,2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2,8]
[3,8,4,5,1,6,7,2]=>[2,7,6,1,5,4,8,3]
[8,5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5,8]
[8,3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3,8]
[8,4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4,8]
[8,1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1,8]
[2,4,1,8,5,7,6,3]=>[3,6,7,5,8,1,4,2]
[8,2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2,8]
[8,3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3,8]
[8,2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2,8]
[1,8,4,2,3,7,6,5]=>[5,6,7,3,2,4,8,1]
[3,1,2,8,7,4,6,5]=>[5,6,4,7,8,2,1,3]
[8,5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5,8]
[2,8,3,7,4,1,6,5]=>[5,6,1,4,7,3,8,2]
[8,4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4,8]
[2,3,1,8,7,6,4,5]=>[5,4,6,7,8,1,3,2]
[4,2,8,7,3,1,5,6]=>[6,5,1,3,7,8,2,4]
[1,3,4,8,7,2,5,6]=>[6,5,2,7,8,4,3,1]
[8,1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1,8]
[3,4,8,2,6,7,1,5]=>[5,1,7,6,2,8,4,3]
[3,6,8,2,5,1,7,4]=>[4,7,1,5,2,8,6,3]
[3,8,2,5,7,4,6,1]=>[1,6,4,7,5,2,8,3]
[8,4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4,8]
[8,2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2,8]
[6,2,8,5,4,1,7,3]=>[3,7,1,4,5,8,2,6]
[6,8,5,4,1,7,2,3]=>[3,2,7,1,4,5,8,6]
[2,8,1,5,7,6,3,4]=>[4,3,6,7,5,1,8,2]
[3,1,8,2,7,5,6,4]=>[4,6,5,7,2,8,1,3]
[8,5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5,8]
[2,8,4,7,3,6,5,1]=>[1,5,6,3,7,4,8,2]
[8,4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4,8]
[1,8,4,7,6,5,2,3]=>[3,2,5,6,7,4,8,1]
[3,5,8,1,7,4,6,2]=>[2,6,4,7,1,8,5,3]
[8,4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4,8]
[2,3,4,7,6,8,1,5]=>[5,1,8,6,7,4,3,2]
[3,1,6,2,5,7,4,8]=>[8,4,7,5,2,6,1,3]
[3,7,1,2,8,6,4,5]=>[5,4,6,8,2,1,7,3]
[3,8,1,2,5,6,4,7]=>[7,4,6,5,2,1,8,3]
[3,7,1,2,5,6,4,8]=>[8,4,6,5,2,1,7,3]
[8,5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5,8]
[4,8,1,6,5,2,7,3]=>[3,7,2,5,6,1,8,4]
[2,6,3,1,8,5,7,4]=>[4,7,5,8,1,3,6,2]
[4,2,6,3,8,5,7,1]=>[1,7,5,8,3,6,2,4]
[2,7,3,1,6,5,8,4]=>[4,8,5,6,1,3,7,2]
[7,1,2,4,6,5,8,3]=>[3,8,5,6,4,2,1,7]
[4,5,2,6,7,1,8,3]=>[3,8,1,7,6,2,5,4]
[5,7,1,2,6,8,4,3]=>[3,4,8,6,2,1,7,5]
[5,8,2,6,4,1,7,3]=>[3,7,1,4,6,2,8,5]
[4,2,8,3,5,6,7,1]=>[1,7,6,5,3,8,2,4]
[8,7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7,8]
[2,7,4,3,8,6,1,5]=>[5,1,6,8,3,4,7,2]
[2,7,6,3,1,5,4,8]=>[8,4,5,1,3,6,7,2]
[2,7,4,1,6,3,5,8]=>[8,5,3,6,1,4,7,2]
[3,7,4,2,8,1,6,5]=>[5,6,1,8,2,4,7,3]
[8,5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5,8]
[7,4,3,5,2,1,8,6]=>[6,8,1,2,5,3,4,7]
[8,3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3,8]
[2,8,6,4,7,3,1,5]=>[5,1,3,7,4,6,8,2]
[5,2,7,8,6,1,4,3]=>[3,4,1,6,8,7,2,5]
[5,2,4,6,8,1,7,3]=>[3,7,1,8,6,4,2,5]
[2,3,8,4,6,1,7,5]=>[5,7,1,6,4,8,3,2]
[3,1,8,6,5,2,7,4]=>[4,7,2,5,6,8,1,3]
[8,3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3,8]
[3,8,2,4,1,5,7,6]=>[6,7,5,1,4,2,8,3]
[5,8,3,2,4,1,7,6]=>[6,7,1,4,2,3,8,5]
[6,2,8,3,4,5,7,1]=>[1,7,5,4,3,8,2,6]
[7,2,6,8,4,3,5,1]=>[1,5,3,4,8,6,2,7]
[5,6,3,8,4,2,1,7]=>[7,1,2,4,8,3,6,5]
[6,5,3,2,4,8,1,7]=>[7,1,8,4,2,3,5,6]
[7,2,5,3,4,8,6,1]=>[1,6,8,4,3,5,2,7]
[3,6,2,1,4,5,7,8]=>[8,7,5,4,1,2,6,3]
[5,2,4,6,1,3,8,7]=>[7,8,3,1,6,4,2,5]
[7,2,3,4,6,8,1,5]=>[5,1,8,6,4,3,2,7]
[8,3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3,8]
[6,8,3,4,7,5,2,1]=>[1,2,5,7,4,3,8,6]
[5,8,6,1,3,4,7,2]=>[2,7,4,3,1,6,8,5]
[4,8,1,5,7,6,3,2]=>[2,3,6,7,5,1,8,4]
[3,7,4,6,8,2,5,1]=>[1,5,2,8,6,4,7,3]
[4,7,1,6,8,3,2,5]=>[5,2,3,8,6,1,7,4]
[4,5,2,8,1,7,3,6]=>[6,3,7,1,8,2,5,4]
[3,7,5,2,8,6,1,4]=>[4,1,6,8,2,5,7,3]
[4,8,5,2,6,7,1,3]=>[3,1,7,6,2,5,8,4]
[5,4,8,6,1,2,7,3]=>[3,7,2,1,6,8,4,5]
[8,4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4,8]
[8,1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1,8]
[5,2,7,6,4,8,1,3]=>[3,1,8,4,6,7,2,5]
[8,6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6,8]
[8,2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2,8]
[7,2,4,5,6,8,1,3]=>[3,1,8,6,5,4,2,7]
[7,1,3,5,6,2,8,4]=>[4,8,2,6,5,3,1,7]
[7,1,5,8,4,6,3,2]=>[2,3,6,4,8,5,1,7]
[6,3,8,4,7,1,5,2]=>[2,5,1,7,4,8,3,6]
[7,1,4,3,2,8,5,6]=>[6,5,8,2,3,4,1,7]
[5,3,6,1,4,2,8,7]=>[7,8,2,4,1,6,3,5]
[5,7,2,1,4,3,8,6]=>[6,8,3,4,1,2,7,5]
[7,1,8,3,5,2,4,6]=>[6,4,2,5,3,8,1,7]
[7,2,4,8,1,5,6,3]=>[3,6,5,1,8,4,2,7]
[7,1,8,4,2,5,6,3]=>[3,6,5,2,4,8,1,7]
[6,4,2,5,8,1,7,3]=>[3,7,1,8,5,2,4,6]
[2,1,7,5,8,3,6,4]=>[4,6,3,8,5,7,1,2]
[7,3,8,5,6,2,1,4]=>[4,1,2,6,5,8,3,7]
[2,7,4,8,1,5,6,3]=>[3,6,5,1,8,4,7,2]
[7,4,8,3,1,5,6,2]=>[2,6,5,1,3,8,4,7]
[6,1,5,8,3,7,4,2]=>[2,4,7,3,8,5,1,6]
[2,6,3,5,8,7,4,1]=>[1,4,7,8,5,3,6,2]
[8,6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6,8]
[4,8,5,3,7,2,1,6]=>[6,1,2,7,3,5,8,4]
[7,4,8,6,5,3,2,1]=>[1,2,3,5,6,8,4,7]
[7,4,8,5,6,3,1,2]=>[2,1,3,6,5,8,4,7]
[7,8,4,1,3,5,6,2]=>[2,6,5,3,1,4,8,7]
[7,8,3,4,1,5,6,2]=>[2,6,5,1,4,3,8,7]
[7,3,1,8,2,5,6,4]=>[4,6,5,2,8,1,3,7]
[7,2,3,8,1,5,6,4]=>[4,6,5,1,8,3,2,7]
[6,4,8,7,3,2,1,5]=>[5,1,2,3,7,8,4,6]
[2,7,4,8,6,3,1,5]=>[5,1,3,6,8,4,7,2]
[6,4,8,2,3,1,7,5]=>[5,7,1,3,2,8,4,6]
[7,2,1,8,3,5,6,4]=>[4,6,5,3,8,1,2,7]
[5,1,6,2,3,8,7,4]=>[4,7,8,3,2,6,1,5]
[5,1,6,3,8,2,4,7]=>[7,4,2,8,3,6,1,5]
[3,6,5,1,4,8,7,2]=>[2,7,8,4,1,5,6,3]
[7,6,1,3,8,4,5,2]=>[2,5,4,8,3,1,6,7]
[6,7,1,5,8,3,4,2]=>[2,4,3,8,5,1,7,6]
[6,7,4,1,8,3,5,2]=>[2,5,3,8,1,4,7,6]
[7,3,6,2,8,1,4,5]=>[5,4,1,8,2,6,3,7]
[1,6,7,3,8,4,5,2]=>[2,5,4,8,3,7,6,1]
[7,3,6,2,8,4,1,5]=>[5,1,4,8,2,6,3,7]
[7,5,1,8,6,4,2,3]=>[3,2,4,6,8,1,5,7]
[6,5,1,8,4,7,2,3]=>[3,2,7,4,8,1,5,6]
[6,5,1,8,4,2,7,3]=>[3,7,2,4,8,1,5,6]
[3,4,8,6,1,7,5,2]=>[2,5,7,1,6,8,4,3]
[3,4,8,5,7,1,6,2]=>[2,6,1,7,5,8,4,3]
[7,5,4,8,1,6,2,3]=>[3,2,6,1,8,4,5,7]
[4,3,5,8,7,1,2,6]=>[6,2,1,7,8,5,3,4]
[7,5,4,8,1,2,6,3]=>[3,6,2,1,8,4,5,7]
[3,4,8,6,7,5,1,2]=>[2,1,5,7,6,8,4,3]
[3,5,6,8,1,4,2,7]=>[7,2,4,1,8,6,5,3]
[6,1,5,8,7,2,3,4]=>[4,3,2,7,8,5,1,6]
[5,1,6,2,8,4,3,7]=>[7,3,4,8,2,6,1,5]
[7,3,6,1,8,4,2,5]=>[5,2,4,8,1,6,3,7]
[1,4,5,8,6,3,7,2]=>[2,7,3,6,8,5,4,1]
[3,5,4,8,6,2,1,7]=>[7,1,2,6,8,4,5,3]
[3,4,8,1,7,6,5,2]=>[2,5,6,7,1,8,4,3]
[3,4,8,1,6,7,5,2]=>[2,5,7,6,1,8,4,3]
[3,4,8,5,1,7,6,2]=>[2,6,7,1,5,8,4,3]
[3,5,4,8,2,7,1,6]=>[6,1,7,2,8,4,5,3]
[4,3,5,8,2,1,6,7]=>[7,6,1,2,8,5,3,4]
[4,3,5,8,2,6,1,7]=>[7,1,6,2,8,5,3,4]
[3,4,8,1,6,5,7,2]=>[2,7,5,6,1,8,4,3]
[6,4,7,2,3,1,5,8]=>[8,5,1,3,2,7,4,6]
[6,2,7,1,5,3,4,8]=>[8,4,3,5,1,7,2,6]
[6,8,1,5,4,2,7,3]=>[3,7,2,4,5,1,8,6]
[7,8,6,3,1,4,2,5]=>[5,2,4,1,3,6,8,7]
[7,8,6,3,5,1,2,4]=>[4,2,1,5,3,6,8,7]
[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]
[7,2,8,5,4,6,3,1]=>[1,3,6,4,5,8,2,7]
[6,1,8,4,7,2,3,5]=>[5,3,2,7,4,8,1,6]
[6,1,7,5,4,3,8,2]=>[2,8,3,4,5,7,1,6]
[5,6,4,3,7,1,8,2]=>[2,8,1,7,3,4,6,5]
[6,5,3,7,2,4,8,1]=>[1,8,4,2,7,3,5,6]
[6,5,3,8,1,7,4,2]=>[2,4,7,1,8,3,5,6]
[5,4,2,3,8,6,7,1]=>[1,7,6,8,3,2,4,5]
[5,6,4,3,8,1,7,2]=>[2,7,1,8,3,4,6,5]
[5,7,6,8,4,3,1,2]=>[2,1,3,4,8,6,7,5]
[6,2,8,7,5,3,4,1]=>[1,4,3,5,7,8,2,6]
[6,3,2,8,5,4,7,1]=>[1,7,4,5,8,2,3,6]
[5,6,2,8,7,3,1,4]=>[4,1,3,7,8,2,6,5]
[5,6,2,8,4,3,7,1]=>[1,7,3,4,8,2,6,5]
[6,1,8,3,2,5,7,4]=>[4,7,5,2,3,8,1,6]
[6,1,7,8,3,2,4,5]=>[5,4,2,3,8,7,1,6]
[4,1,2,6,8,3,7,5]=>[5,7,3,8,6,2,1,4]
[5,1,3,6,2,7,4,8]=>[8,4,7,2,6,3,1,5]
[5,1,3,6,2,8,7,4]=>[4,7,8,2,6,3,1,5]
[7,1,6,2,5,8,3,4]=>[4,3,8,5,2,6,1,7]
[6,1,7,4,8,2,5,3]=>[3,5,2,8,4,7,1,6]
[4,3,2,7,8,5,1,6]=>[6,1,5,8,7,2,3,4]
[7,1,3,6,5,8,4,2]=>[2,4,8,5,6,3,1,7]
[5,1,7,4,6,8,2,3]=>[3,2,8,6,4,7,1,5]
[5,7,4,3,6,8,2,1]=>[1,2,8,6,3,4,7,5]
[5,1,4,3,6,7,2,8]=>[8,2,7,6,3,4,1,5]
[5,4,2,3,6,8,7,1]=>[1,7,8,6,3,2,4,5]
[7,5,3,6,2,8,4,1]=>[1,4,8,2,6,3,5,7]
[4,6,2,7,8,3,5,1]=>[1,5,3,8,7,2,6,4]
[5,1,2,4,6,7,8,3]=>[3,8,7,6,4,2,1,5]
[4,6,3,5,2,8,7,1]=>[1,7,8,2,5,3,6,4]
[5,6,3,4,8,2,7,1]=>[1,7,2,8,4,3,6,5]
[5,3,6,4,1,7,8,2]=>[2,8,7,1,4,6,3,5]
[5,2,6,4,1,7,8,3]=>[3,8,7,1,4,6,2,5]
[5,4,1,7,6,3,8,2]=>[2,8,3,6,7,1,4,5]
[5,8,4,6,3,2,7,1]=>[1,7,2,3,6,4,8,5]
[5,4,3,8,6,2,7,1]=>[1,7,2,6,8,3,4,5]
[5,7,8,2,4,3,6,1]=>[1,6,3,4,2,8,7,5]
[5,6,2,4,8,3,7,1]=>[1,7,3,8,4,2,6,5]
[6,4,7,8,2,3,5,1]=>[1,5,3,2,8,7,4,6]
[3,7,5,2,4,8,1,6]=>[6,1,8,4,2,5,7,3]
[4,7,5,2,3,8,6,1]=>[1,6,8,3,2,5,7,4]
[6,4,7,3,2,5,8,1]=>[1,8,5,2,3,7,4,6]
[5,7,3,2,8,4,6,1]=>[1,6,4,8,2,3,7,5]
[5,3,7,2,8,4,6,1]=>[1,6,4,8,2,7,3,5]
[4,3,7,2,5,8,6,1]=>[1,6,8,5,2,7,3,4]
[4,7,3,2,5,8,6,1]=>[1,6,8,5,2,3,7,4]
[4,8,3,5,1,7,6,2]=>[2,6,7,1,5,3,8,4]
[4,7,3,2,6,8,5,1]=>[1,5,8,6,2,3,7,4]
[7,5,3,2,6,4,8,1]=>[1,8,4,6,2,3,5,7]
[8,5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5,8]
[8,4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4,8]
[7,4,6,2,3,8,5,1]=>[1,5,8,3,2,6,4,7]
[7,5,6,2,8,3,4,1]=>[1,4,3,8,2,6,5,7]
[5,7,6,2,8,3,4,1]=>[1,4,3,8,2,6,7,5]
[4,7,6,2,3,8,5,1]=>[1,5,8,3,2,6,7,4]
[7,6,3,2,5,8,1,4]=>[4,1,8,5,2,3,6,7]
[7,6,4,2,5,8,3,1]=>[1,3,8,5,2,4,6,7]
[6,3,8,5,4,7,2,1]=>[1,2,7,4,5,8,3,6]
[7,8,2,5,1,3,6,4]=>[4,6,3,1,5,2,8,7]
[8,7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7,8]
[2,4,6,3,8,7,5,1]=>[1,5,7,8,3,6,4,2]
[2,4,6,1,8,7,3,5]=>[5,3,7,8,1,6,4,2]
[2,4,3,6,8,7,1,5]=>[5,1,7,8,6,3,4,2]
[2,4,6,3,8,7,1,5]=>[5,1,7,8,3,6,4,2]
[2,4,6,5,8,7,1,3]=>[3,1,7,8,5,6,4,2]
[2,4,6,8,5,7,3,1]=>[1,3,7,5,8,6,4,2]
[2,4,6,8,5,7,1,3]=>[3,1,7,5,8,6,4,2]
[2,4,6,8,3,7,1,5]=>[5,1,7,3,8,6,4,2]
[2,4,6,8,1,7,3,5]=>[5,3,7,1,8,6,4,2]
[2,4,6,5,1,8,7,3]=>[3,7,8,1,5,6,4,2]
[2,4,6,5,8,3,7,1]=>[1,7,3,8,5,6,4,2]
[2,4,6,5,8,1,7,3]=>[3,7,1,8,5,6,4,2]
[2,4,6,8,5,1,7,3]=>[3,7,1,5,8,6,4,2]
[2,4,6,8,7,3,5,1]=>[1,5,3,7,8,6,4,2]
[2,4,6,8,7,1,5,3]=>[3,5,1,7,8,6,4,2]
[2,4,6,8,7,1,3,5]=>[5,3,1,7,8,6,4,2]
[2,4,6,8,5,1,3,7]=>[7,3,1,5,8,6,4,2]
[2,4,6,5,1,8,3,7]=>[7,3,8,1,5,6,4,2]
[2,4,6,5,1,3,8,7]=>[7,8,3,1,5,6,4,2]
[2,4,6,5,3,8,1,7]=>[7,1,8,3,5,6,4,2]
[2,4,6,5,8,3,1,7]=>[7,1,3,8,5,6,4,2]
[2,4,6,8,5,3,1,7]=>[7,1,3,5,8,6,4,2]
[2,4,6,8,7,3,1,5]=>[5,1,3,7,8,6,4,2]
[2,4,6,8,7,5,1,3]=>[3,1,5,7,8,6,4,2]
[4,8,7,5,2,1,3,6]=>[6,3,1,2,5,7,8,4]
[6,1,4,7,5,8,2,3]=>[3,2,8,5,7,4,1,6]
[1,8,6,5,3,2,7,4]=>[4,7,2,3,5,6,8,1]
[1,6,3,5,8,2,4,7]=>[7,4,2,8,5,3,6,1]
[4,6,1,7,8,5,3,2]=>[2,3,5,8,7,1,6,4]
[6,1,2,7,8,4,5,3]=>[3,5,4,8,7,2,1,6]
[6,1,3,2,7,8,5,4]=>[4,5,8,7,2,3,1,6]
[5,6,3,1,7,4,8,2]=>[2,8,4,7,1,3,6,5]
[4,8,3,7,1,6,5,2]=>[2,5,6,1,7,3,8,4]
[8,7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7,8]
[5,8,3,2,1,7,6,4]=>[4,6,7,1,2,3,8,5]
[5,4,3,8,1,7,6,2]=>[2,6,7,1,8,3,4,5]
[6,5,3,8,7,1,4,2]=>[2,4,1,7,8,3,5,6]
[4,3,8,2,7,6,5,1]=>[1,5,6,7,2,8,3,4]
[4,8,2,7,6,5,3,1]=>[1,3,5,6,7,2,8,4]
[7,8,2,6,5,4,1,3]=>[3,1,4,5,6,2,8,7]
[3,8,7,6,2,5,1,4]=>[4,1,5,2,6,7,8,3]
[4,8,3,7,2,1,6,5]=>[5,6,1,2,7,3,8,4]
[8,6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6,8]
[8,6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6,8]
[4,8,3,7,6,2,5,1]=>[1,5,2,6,7,3,8,4]
[5,8,2,7,6,4,1,3]=>[3,1,4,6,7,2,8,5]
[8,4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4,8]
[1,6,4,2,5,3,7,8]=>[8,7,3,5,2,4,6,1]
[1,8,6,2,7,3,4,5]=>[5,4,3,7,2,6,8,1]
[1,6,3,2,4,5,7,8]=>[8,7,5,4,2,3,6,1]
[1,5,2,6,4,3,7,8]=>[8,7,3,4,6,2,5,1]
[1,5,2,4,6,3,7,8]=>[8,7,3,6,4,2,5,1]
[1,8,6,2,3,7,4,5]=>[5,4,7,3,2,6,8,1]
[1,5,2,8,6,3,4,7]=>[7,4,3,6,8,2,5,1]
[1,3,6,8,2,7,4,5]=>[5,4,7,2,8,6,3,1]
[1,4,3,8,2,5,6,7]=>[7,6,5,2,8,3,4,1]
[1,7,2,3,8,5,4,6]=>[6,4,5,8,3,2,7,1]
[1,3,8,4,2,5,6,7]=>[7,6,5,2,4,8,3,1]
[1,6,2,8,5,4,3,7]=>[7,3,4,5,8,2,6,1]
[1,7,2,3,8,6,4,5]=>[5,4,6,8,3,2,7,1]
[1,5,3,8,2,7,4,6]=>[6,4,7,2,8,3,5,1]
[1,4,6,5,2,8,3,7]=>[7,3,8,2,5,6,4,1]
[1,5,6,4,2,8,3,7]=>[7,3,8,2,4,6,5,1]
[1,4,8,2,5,6,3,7]=>[7,3,6,5,2,8,4,1]
[1,5,7,3,2,8,4,6]=>[6,4,8,2,3,7,5,1]
[1,2,7,3,6,8,4,5]=>[5,4,8,6,3,7,2,1]
[1,7,2,3,6,8,4,5]=>[5,4,8,6,3,2,7,1]
[1,4,8,3,2,5,6,7]=>[7,6,5,2,3,8,4,1]
[1,7,2,5,8,3,4,6]=>[6,4,3,8,5,2,7,1]
[6,2,3,5,8,1,7,4]=>[4,7,1,8,5,3,2,6]
[5,2,4,8,1,6,7,3]=>[3,7,6,1,8,4,2,5]
[2,6,4,5,7,3,1,8]=>[8,1,3,7,5,4,6,2]
[2,5,6,3,4,7,1,8]=>[8,1,7,4,3,6,5,2]
[1,3,7,5,6,8,4,2]=>[2,4,8,6,5,7,3,1]
[1,3,6,7,4,5,8,2]=>[2,8,5,4,7,6,3,1]
[1,5,6,3,4,2,7,8]=>[8,7,2,4,3,6,5,1]
[1,5,6,3,4,7,2,8]=>[8,2,7,4,3,6,5,1]
[1,5,3,6,4,2,7,8]=>[8,7,2,4,6,3,5,1]
[1,7,5,6,8,3,4,2]=>[2,4,3,8,6,5,7,1]
[1,7,5,6,3,8,4,2]=>[2,4,8,3,6,5,7,1]
[1,3,7,5,2,8,6,4]=>[4,6,8,2,5,7,3,1]
[1,3,7,2,5,8,6,4]=>[4,6,8,5,2,7,3,1]
[1,5,3,7,4,6,2,8]=>[8,2,6,4,7,3,5,1]
[1,5,3,7,6,4,2,8]=>[8,2,4,6,7,3,5,1]
[1,5,3,6,7,4,2,8]=>[8,2,4,7,6,3,5,1]
[1,5,6,3,7,4,2,8]=>[8,2,4,7,3,6,5,1]
[1,5,7,6,3,4,8,2]=>[2,8,4,3,6,7,5,1]
[1,5,7,3,6,4,8,2]=>[2,8,4,6,3,7,5,1]
[1,3,7,2,5,6,8,4]=>[4,8,6,5,2,7,3,1]
[1,3,7,5,6,2,8,4]=>[4,8,2,6,5,7,3,1]
[4,6,8,3,1,7,2,5]=>[5,2,7,1,3,8,6,4]
[2,5,7,4,1,3,8,6]=>[6,8,3,1,4,7,5,2]
[6,7,3,1,8,5,2,4]=>[4,2,5,8,1,3,7,6]
[4,7,3,6,1,8,2,5]=>[5,2,8,1,6,3,7,4]
[6,3,1,5,8,7,2,4]=>[4,2,7,8,5,1,3,6]
[8,3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3,8]
[6,3,4,7,2,1,8,5]=>[5,8,1,2,7,4,3,6]
[5,3,6,8,7,2,1,4]=>[4,1,2,7,8,6,3,5]
[4,6,3,5,8,2,1,7]=>[7,1,2,8,5,3,6,4]
[3,6,2,5,8,4,1,7]=>[7,1,4,8,5,2,6,3]
[7,2,4,8,6,3,1,5]=>[5,1,3,6,8,4,2,7]
[2,3,5,7,4,1,8,6]=>[6,8,1,4,7,5,3,2]
[2,3,6,4,1,8,7,5]=>[5,7,8,1,4,6,3,2]
[8,2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2,8]
[6,2,4,8,3,1,7,5]=>[5,7,1,3,8,4,2,6]
[5,2,6,4,3,1,8,7]=>[7,8,1,3,4,6,2,5]
[4,7,3,5,2,1,8,6]=>[6,8,1,2,5,3,7,4]
[8,3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3,8]
[7,4,5,2,1,8,6,3]=>[3,6,8,1,2,5,4,7]
[2,5,6,3,1,8,7,4]=>[4,7,8,1,3,6,5,2]
[4,7,5,2,1,8,6,3]=>[3,6,8,1,2,5,7,4]
[8,5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5,8]
[5,6,4,3,8,2,1,7]=>[7,1,2,8,3,4,6,5]
[4,5,7,3,1,2,8,6]=>[6,8,2,1,3,7,5,4]
[4,5,1,8,3,2,7,6]=>[6,7,2,3,8,1,5,4]
[5,7,4,6,3,2,1,8]=>[8,1,2,3,6,4,7,5]
[3,6,1,2,4,8,7,5]=>[5,7,8,4,2,1,6,3]
[2,5,3,8,4,1,7,6]=>[6,7,1,4,8,3,5,2]
[4,5,2,8,3,1,7,6]=>[6,7,1,3,8,2,5,4]
[4,6,3,2,8,5,1,7]=>[7,1,5,8,2,3,6,4]
[7,4,2,8,3,1,6,5]=>[5,6,1,3,8,2,4,7]
[8,6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6,8]
[6,7,2,3,1,8,5,4]=>[4,5,8,1,3,2,7,6]
[5,7,2,3,1,8,6,4]=>[4,6,8,1,3,2,7,5]
[2,7,3,4,1,8,6,5]=>[5,6,8,1,4,3,7,2]
[2,6,3,4,1,8,7,5]=>[5,7,8,1,4,3,6,2]
[7,5,2,3,1,8,6,4]=>[4,6,8,1,3,2,5,7]
[6,3,1,2,4,8,7,5]=>[5,7,8,4,2,1,3,6]
[8,2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2,8]
[6,2,3,4,1,8,7,5]=>[5,7,8,1,4,3,2,6]
[4,7,5,2,3,6,1,8]=>[8,1,6,3,2,5,7,4]
[3,6,8,4,5,1,2,7]=>[7,2,1,5,4,8,6,3]
[5,2,3,7,6,4,1,8]=>[8,1,4,6,7,3,2,5]
[6,2,7,3,5,4,1,8]=>[8,1,4,5,3,7,2,6]
[7,2,6,5,3,4,1,8]=>[8,1,4,3,5,6,2,7]
[8,2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2,8]
[6,2,8,4,5,1,3,7]=>[7,3,1,5,4,8,2,6]
[2,3,1,7,8,5,6,4]=>[4,6,5,8,7,1,3,2]
[7,2,8,5,1,4,3,6]=>[6,3,4,1,5,8,2,7]
[8,6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6,8]
[6,8,7,1,4,3,2,5]=>[5,2,3,4,1,7,8,6]
[6,8,2,5,3,1,4,7]=>[7,4,1,3,5,2,8,6]
[3,7,8,5,1,4,2,6]=>[6,2,4,1,5,8,7,3]
[4,8,7,3,1,2,5,6]=>[6,5,2,1,3,7,8,4]
[4,8,6,2,3,1,5,7]=>[7,5,1,3,2,6,8,4]
[3,8,5,4,2,1,6,7]=>[7,6,1,2,4,5,8,3]
[4,5,3,8,2,1,6,7]=>[7,6,1,2,8,3,5,4]
[3,7,4,1,8,2,6,5]=>[5,6,2,8,1,4,7,3]
[3,8,4,1,7,6,2,5]=>[5,2,6,7,1,4,8,3]
[3,7,2,1,8,4,6,5]=>[5,6,4,8,1,2,7,3]
[8,7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7,8]
[8,5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5,8]
[3,8,2,1,7,6,4,5]=>[5,4,6,7,1,2,8,3]
[3,5,7,8,2,4,6,1]=>[1,6,4,2,8,7,5,3]
[7,8,2,5,4,3,6,1]=>[1,6,3,4,5,2,8,7]
[4,5,3,7,8,2,6,1]=>[1,6,2,8,7,3,5,4]
[1,5,4,7,3,6,2,8]=>[8,2,6,3,7,4,5,1]
[1,7,3,6,8,4,5,2]=>[2,5,4,8,6,3,7,1]
[4,6,8,2,7,3,5,1]=>[1,5,3,7,2,8,6,4]
[4,7,6,3,5,1,8,2]=>[2,8,1,5,3,6,7,4]
[7,8,3,6,1,5,4,2]=>[2,4,5,1,6,3,8,7]
[2,5,7,8,4,6,1,3]=>[3,1,6,4,8,7,5,2]
[3,7,5,6,2,1,4,8]=>[8,4,1,2,6,5,7,3]
[6,2,1,7,4,5,3,8]=>[8,3,5,4,7,1,2,6]
[1,2,6,4,7,5,3,8]=>[8,3,5,7,4,6,2,1]
[7,5,6,3,8,4,2,1]=>[1,2,4,8,3,6,5,7]
[8,5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5,8]
[2,6,8,4,7,5,1,3]=>[3,1,5,7,4,8,6,2]
[6,7,5,1,4,8,3,2]=>[2,3,8,4,1,5,7,6]
[7,4,1,6,5,3,8,2]=>[2,8,3,5,6,1,4,7]
[5,8,2,7,3,6,4,1]=>[1,4,6,3,7,2,8,5]
[1,6,5,7,3,8,4,2]=>[2,4,8,3,7,5,6,1]
[1,5,6,8,4,2,7,3]=>[3,7,2,4,8,6,5,1]
[7,5,4,1,8,2,6,3]=>[3,6,2,8,1,4,5,7]
[6,4,1,8,2,7,5,3]=>[3,5,7,2,8,1,4,6]
[7,8,5,3,2,6,1,4]=>[4,1,6,2,3,5,8,7]
[8,2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2,8]
[6,7,4,3,8,2,5,1]=>[1,5,2,8,3,4,7,6]
[3,4,2,7,8,6,1,5]=>[5,1,6,8,7,2,4,3]
[7,8,6,1,4,3,2,5]=>[5,2,3,4,1,6,8,7]
[2,4,7,8,6,1,3,5]=>[5,3,1,6,8,7,4,2]
[3,7,8,6,5,2,4,1]=>[1,4,2,5,6,8,7,3]
[4,5,2,7,8,6,3,1]=>[1,3,6,8,7,2,5,4]
[4,6,2,5,3,1,7,8]=>[8,7,1,3,5,2,6,4]
[4,1,5,6,3,2,7,8]=>[8,7,2,3,6,5,1,4]
[2,6,7,5,4,1,3,8]=>[8,3,1,4,5,7,6,2]
[4,1,6,7,5,3,2,8]=>[8,2,3,5,7,6,1,4]
[6,7,4,3,1,5,2,8]=>[8,2,5,1,3,4,7,6]
[1,7,5,6,4,3,2,8]=>[8,2,3,4,6,5,7,1]
[7,6,5,3,1,8,4,2]=>[2,4,8,1,3,5,6,7]
[7,8,6,4,3,1,5,2]=>[2,5,1,3,4,6,8,7]
[4,1,7,8,6,5,3,2]=>[2,3,5,6,8,7,1,4]
[4,5,7,3,8,6,1,2]=>[2,1,6,8,3,7,5,4]
[6,8,5,3,7,2,1,4]=>[4,1,2,7,3,5,8,6]
[4,6,7,8,5,3,1,2]=>[2,1,3,5,8,7,6,4]
[3,4,7,5,6,8,1,2]=>[2,1,8,6,5,7,4,3]
[4,7,1,5,8,2,6,3]=>[3,6,2,8,5,1,7,4]
[3,7,6,1,2,8,5,4]=>[4,5,8,2,1,6,7,3]
[3,7,6,2,1,8,4,5]=>[5,4,8,1,2,6,7,3]
[2,7,5,8,3,6,4,1]=>[1,4,6,3,8,5,7,2]
[7,4,8,2,6,5,3,1]=>[1,3,5,6,2,8,4,7]
[7,5,4,8,2,6,3,1]=>[1,3,6,2,8,4,5,7]
[4,3,8,1,6,5,2,7]=>[7,2,5,6,1,8,3,4]
[2,3,6,5,7,8,1,4]=>[4,1,8,7,5,6,3,2]
[8,3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3,8]
[7,3,4,8,5,2,1,6]=>[6,1,2,5,8,4,3,7]
[7,3,8,4,1,5,6,2]=>[2,6,5,1,4,8,3,7]
[7,2,4,5,1,8,3,6]=>[6,3,8,1,5,4,2,7]
[3,8,7,5,1,4,2,6]=>[6,2,4,1,5,7,8,3]
[4,3,8,7,1,5,2,6]=>[6,2,5,1,7,8,3,4]
[7,3,1,2,8,5,6,4]=>[4,6,5,8,2,1,3,7]
[4,8,2,3,5,7,6,1]=>[1,6,7,5,3,2,8,4]
[4,5,2,3,8,6,7,1]=>[1,7,6,8,3,2,5,4]
[6,7,4,8,5,3,2,1]=>[1,2,3,5,8,4,7,6]
[3,7,6,1,4,2,8,5]=>[5,8,2,4,1,6,7,3]
[4,3,5,6,1,7,8,2]=>[2,8,7,1,6,5,3,4]
[3,5,2,6,4,7,8,1]=>[1,8,7,4,6,2,5,3]
[5,6,7,2,4,3,8,1]=>[1,8,3,4,2,7,6,5]
[5,6,1,8,7,3,4,2]=>[2,4,3,7,8,1,6,5]
[4,1,2,8,5,7,6,3]=>[3,6,7,5,8,2,1,4]
[3,1,5,6,4,7,8,2]=>[2,8,7,4,6,5,1,3]
[3,1,4,6,7,5,8,2]=>[2,8,5,7,6,4,1,3]
[5,2,1,4,6,8,3,7]=>[7,3,8,6,4,1,2,5]
[2,6,4,5,8,1,3,7]=>[7,3,1,8,5,4,6,2]
[6,4,1,3,5,8,2,7]=>[7,2,8,5,3,1,4,6]
[5,2,3,6,4,8,1,7]=>[7,1,8,4,6,3,2,5]
[8,6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6,8]
[3,4,1,7,2,6,8,5]=>[5,8,6,2,7,1,4,3]
[7,3,1,4,5,8,2,6]=>[6,2,8,5,4,1,3,7]
[2,4,7,5,8,1,3,6]=>[6,3,1,8,5,7,4,2]
[6,1,8,7,3,4,5,2]=>[2,5,4,3,7,8,1,6]
[6,8,7,4,1,3,5,2]=>[2,5,3,1,4,7,8,6]
[3,1,6,4,8,7,5,2]=>[2,5,7,8,4,6,1,3]
[3,7,1,4,5,8,6,2]=>[2,6,8,5,4,1,7,3]
[2,5,6,3,8,7,4,1]=>[1,4,7,8,3,6,5,2]
[5,8,7,4,1,3,6,2]=>[2,6,3,1,4,7,8,5]
[8,4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4,8]
[8,7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7,8]
[7,2,6,4,8,1,3,5]=>[5,3,1,8,4,6,2,7]
[5,7,3,1,2,6,8,4]=>[4,8,6,2,1,3,7,5]
[3,7,6,2,1,5,8,4]=>[4,8,5,1,2,6,7,3]
[4,2,6,1,3,7,8,5]=>[5,8,7,3,1,6,2,4]
[8,5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5,8]
[2,7,4,3,1,6,8,5]=>[5,8,6,1,3,4,7,2]
[2,8,4,6,7,1,3,5]=>[5,3,1,7,6,4,8,2]
[1,8,3,4,6,7,2,5]=>[5,2,7,6,4,3,8,1]
[8,2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2,8]
[2,5,3,1,6,8,7,4]=>[4,7,8,6,1,3,5,2]
[2,5,1,6,4,8,7,3]=>[3,7,8,4,6,1,5,2]
[5,8,2,1,4,6,7,3]=>[3,7,6,4,1,2,8,5]
[8,4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4,8]
[3,7,8,4,2,6,5,1]=>[1,5,6,2,4,8,7,3]
[8,5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5,8]
[3,5,1,8,6,7,2,4]=>[4,2,7,6,8,1,5,3]
[5,6,2,8,7,1,3,4]=>[4,3,1,7,8,2,6,5]
[7,2,4,8,5,6,1,3]=>[3,1,6,5,8,4,2,7]
[7,1,3,8,4,5,6,2]=>[2,6,5,4,8,3,1,7]
[7,8,1,4,3,5,6,2]=>[2,6,5,3,4,1,8,7]
[2,6,7,8,3,5,1,4]=>[4,1,5,3,8,7,6,2]
[3,6,7,8,2,1,5,4]=>[4,5,1,2,8,7,6,3]
[3,6,7,2,8,1,5,4]=>[4,5,1,8,2,7,6,3]
[2,6,7,1,3,5,8,4]=>[4,8,5,3,1,7,6,2]
[3,6,7,1,2,8,5,4]=>[4,5,8,2,1,7,6,3]
[3,6,7,1,8,2,5,4]=>[4,5,2,8,1,7,6,3]
[3,4,1,8,7,2,6,5]=>[5,6,2,7,8,1,4,3]
[2,5,1,7,3,6,8,4]=>[4,8,6,3,7,1,5,2]
[3,1,5,7,2,8,6,4]=>[4,6,8,2,7,5,1,3]
[3,1,5,7,8,2,6,4]=>[4,6,2,8,7,5,1,3]
[3,8,1,4,7,2,6,5]=>[5,6,2,7,4,1,8,3]
[4,8,1,3,2,7,6,5]=>[5,6,7,2,3,1,8,4]
[4,1,8,3,2,7,6,5]=>[5,6,7,2,3,8,1,4]
[4,1,3,8,2,7,6,5]=>[5,6,7,2,8,3,1,4]
[1,4,2,3,7,6,5,8]=>[8,5,6,7,3,2,4,1]
[4,3,1,8,2,7,6,5]=>[5,6,7,2,8,1,3,4]
[4,3,8,1,2,7,6,5]=>[5,6,7,2,1,8,3,4]
[4,3,8,2,1,7,6,5]=>[5,6,7,1,2,8,3,4]
[3,4,2,8,7,1,6,5]=>[5,6,1,7,8,2,4,3]
[3,8,4,2,7,1,6,5]=>[5,6,1,7,2,4,8,3]
[2,8,4,3,7,6,1,5]=>[5,1,6,7,3,4,8,2]
[2,4,3,8,7,6,1,5]=>[5,1,6,7,8,3,4,2]
[2,4,5,7,6,1,8,3]=>[3,8,1,6,7,5,4,2]
[2,4,5,7,6,8,1,3]=>[3,1,8,6,7,5,4,2]
[2,3,5,7,8,6,1,4]=>[4,1,6,8,7,5,3,2]
[2,3,8,4,7,6,1,5]=>[5,1,6,7,4,8,3,2]
[3,8,2,4,7,1,6,5]=>[5,6,1,7,4,2,8,3]
[3,2,4,8,7,1,6,5]=>[5,6,1,7,8,4,2,3]
[3,2,5,7,1,8,6,4]=>[4,6,8,1,7,5,2,3]
[2,3,5,7,1,6,8,4]=>[4,8,6,1,7,5,3,2]
[4,2,3,8,1,7,6,5]=>[5,6,7,1,8,3,2,4]
[4,2,8,3,1,7,6,5]=>[5,6,7,1,3,8,2,4]
[4,8,2,3,1,7,6,5]=>[5,6,7,1,3,2,8,4]
[4,8,2,1,3,7,6,5]=>[5,6,7,3,1,2,8,4]
[4,2,8,1,3,7,6,5]=>[5,6,7,3,1,8,2,4]
[3,1,2,4,7,8,6,5]=>[5,6,8,7,4,2,1,3]
[3,5,4,7,2,8,1,6]=>[6,1,8,2,7,4,5,3]
[3,6,4,7,8,2,1,5]=>[5,1,2,8,7,4,6,3]
[2,3,4,6,8,7,1,5]=>[5,1,7,8,6,4,3,2]
[5,3,4,6,1,7,8,2]=>[2,8,7,1,6,4,3,5]
[2,5,7,8,6,1,3,4]=>[4,3,1,6,8,7,5,2]
[2,4,7,6,8,1,3,5]=>[5,3,1,8,6,7,4,2]
[4,6,5,1,7,2,8,3]=>[3,8,2,7,1,5,6,4]
[5,6,4,7,1,2,8,3]=>[3,8,2,1,7,4,6,5]
[4,6,7,5,8,2,3,1]=>[1,3,2,8,5,7,6,4]
[3,5,1,7,6,8,4,2]=>[2,4,8,6,7,1,5,3]
[4,5,7,1,6,8,3,2]=>[2,3,8,6,1,7,5,4]
[3,2,7,6,8,1,4,5]=>[5,4,1,8,6,7,2,3]
[6,1,3,5,7,8,4,2]=>[2,4,8,7,5,3,1,6]
[4,5,1,7,6,8,2,3]=>[3,2,8,6,7,1,5,4]
[6,2,5,7,1,3,8,4]=>[4,8,3,1,7,5,2,6]
[7,6,1,5,2,8,4,3]=>[3,4,8,2,5,1,6,7]
[4,1,7,8,3,5,2,6]=>[6,2,5,3,8,7,1,4]
[5,7,2,3,1,8,4,6]=>[6,4,8,1,3,2,7,5]
[7,2,8,3,1,6,5,4]=>[4,5,6,1,3,8,2,7]
[6,7,2,8,3,1,4,5]=>[5,4,1,3,8,2,7,6]
[3,1,7,6,2,8,4,5]=>[5,4,8,2,6,7,1,3]
[7,6,3,1,2,8,4,5]=>[5,4,8,2,1,3,6,7]
[6,2,7,8,4,1,3,5]=>[5,3,1,4,8,7,2,6]
[7,2,6,8,3,4,1,5]=>[5,1,4,3,8,6,2,7]
[7,2,4,1,6,8,3,5]=>[5,3,8,6,1,4,2,7]
[8,3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3,8]
[4,1,8,3,6,7,2,5]=>[5,2,7,6,3,8,1,4]
[6,3,7,8,4,1,2,5]=>[5,2,1,4,8,7,3,6]
[7,8,5,2,4,1,3,6]=>[6,3,1,4,2,5,8,7]
[6,2,3,7,8,4,1,5]=>[5,1,4,8,7,3,2,6]
[7,6,2,3,1,8,4,5]=>[5,4,8,1,3,2,6,7]
[2,6,3,7,8,4,1,5]=>[5,1,4,8,7,3,6,2]
[2,7,8,5,3,4,1,6]=>[6,1,4,3,5,8,7,2]
[4,8,5,2,3,1,7,6]=>[6,7,1,3,2,5,8,4]
[4,2,5,1,3,7,8,6]=>[6,8,7,3,1,5,2,4]
[4,3,5,1,2,7,8,6]=>[6,8,7,2,1,5,3,4]
[3,5,1,4,2,7,8,6]=>[6,8,7,2,4,1,5,3]
[3,4,1,7,8,5,2,6]=>[6,2,5,8,7,1,4,3]
[4,1,3,7,8,5,2,6]=>[6,2,5,8,7,3,1,4]
[3,1,4,8,5,2,7,6]=>[6,7,2,5,8,4,1,3]
[4,3,1,8,5,2,7,6]=>[6,7,2,5,8,1,3,4]
[8,4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4,8]
[6,3,8,4,7,5,2,1]=>[1,2,5,7,4,8,3,6]
[8,5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5,8]
[3,1,8,5,4,2,7,6]=>[6,7,2,4,5,8,1,3]
[8,5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5,8]
[7,6,3,5,8,4,2,1]=>[1,2,4,8,5,3,6,7]
[4,5,1,3,2,7,8,6]=>[6,8,7,2,3,1,5,4]
[5,1,3,2,4,7,8,6]=>[6,8,7,4,2,3,1,5]
[8,5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5,8]
[2,3,7,8,5,4,1,6]=>[6,1,4,5,8,7,3,2]
[8,3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3,8]
[4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]
[5,3,6,7,8,2,1,4]=>[4,1,2,8,7,6,3,5]
[1,3,4,8,6,2,7,5]=>[5,7,2,6,8,4,3,1]
[8,3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3,8]
[4,8,3,5,7,2,1,6]=>[6,1,2,7,5,3,8,4]
[1,2,4,8,7,3,5,6]=>[6,5,3,7,8,4,2,1]
[5,2,7,8,3,1,4,6]=>[6,4,1,3,8,7,2,5]
[7,2,4,1,3,8,5,6]=>[6,5,8,3,1,4,2,7]
[3,8,2,5,4,1,6,7]=>[7,6,1,4,5,2,8,3]
[8,4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4,8]
[4,5,6,2,7,8,1,3]=>[3,1,8,7,2,6,5,4]
[2,6,7,3,8,1,4,5]=>[5,4,1,8,3,7,6,2]
[2,8,6,3,1,7,4,5]=>[5,4,7,1,3,6,8,2]
[4,7,5,1,2,6,8,3]=>[3,8,6,2,1,5,7,4]
[5,6,1,4,2,8,7,3]=>[3,7,8,2,4,1,6,5]
[4,5,8,1,3,2,7,6]=>[6,7,2,3,1,8,5,4]
[4,7,1,2,6,3,5,8]=>[8,5,3,6,2,1,7,4]
[4,6,8,2,3,7,5,1]=>[1,5,7,3,2,8,6,4]
[4,5,7,2,3,6,1,8]=>[8,1,6,3,2,7,5,4]
[2,5,7,3,4,6,8,1]=>[1,8,6,4,3,7,5,2]
[5,8,2,1,3,7,4,6]=>[6,4,7,3,1,2,8,5]
[7,4,2,1,6,3,5,8]=>[8,5,3,6,1,2,4,7]
[8,5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5,8]
[6,8,2,3,1,4,7,5]=>[5,7,4,1,3,2,8,6]
[2,7,3,4,1,5,6,8]=>[8,6,5,1,4,3,7,2]
[6,7,2,3,4,8,1,5]=>[5,1,8,4,3,2,7,6]
[7,4,2,1,3,5,8,6]=>[6,8,5,3,1,2,4,7]
[3,5,2,4,6,7,8,1]=>[1,8,7,6,4,2,5,3]
[4,2,6,3,5,7,8,1]=>[1,8,7,5,3,6,2,4]
[5,2,3,7,4,6,8,1]=>[1,8,6,4,7,3,2,5]
[6,2,3,4,8,5,7,1]=>[1,7,5,8,4,3,2,6]
[2,7,5,8,4,1,6,3]=>[3,6,1,4,8,5,7,2]
[1,7,5,8,4,2,6,3]=>[3,6,2,4,8,5,7,1]
[1,4,8,5,6,2,7,3]=>[3,7,2,6,5,8,4,1]
[2,4,8,5,6,1,7,3]=>[3,7,1,6,5,8,4,2]
[6,3,5,8,4,7,1,2]=>[2,1,7,4,8,5,3,6]
[2,8,7,4,5,1,6,3]=>[3,6,1,5,4,7,8,2]
[1,8,7,4,5,2,6,3]=>[3,6,2,5,4,7,8,1]
[1,3,8,5,2,6,7,4]=>[4,7,6,2,5,8,3,1]
[7,2,8,4,5,1,6,3]=>[3,6,1,5,4,8,2,7]
[6,2,5,8,4,1,7,3]=>[3,7,1,4,8,5,2,6]
[3,1,8,5,2,6,7,4]=>[4,7,6,2,5,8,1,3]
[1,2,8,5,3,6,7,4]=>[4,7,6,3,5,8,2,1]
[7,1,3,5,2,6,8,4]=>[4,8,6,2,5,3,1,7]
[5,4,1,3,2,7,8,6]=>[6,8,7,2,3,1,4,5]
[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]
[6,8,3,2,1,5,7,4]=>[4,7,5,1,2,3,8,6]
[7,8,2,4,1,5,6,3]=>[3,6,5,1,4,2,8,7]
[6,2,3,5,1,7,8,4]=>[4,8,7,1,5,3,2,6]
[8,6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6,8]
[1,7,3,5,2,6,8,4]=>[4,8,6,2,5,3,7,1]
[1,6,4,3,2,7,8,5]=>[5,8,7,2,3,4,6,1]
[8,5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5,8]
[2,6,4,3,1,7,8,5]=>[5,8,7,1,3,4,6,2]
[2,7,5,1,3,6,8,4]=>[4,8,6,3,1,5,7,2]
[1,7,5,2,3,6,8,4]=>[4,8,6,3,2,5,7,1]
[2,8,1,5,3,6,7,4]=>[4,7,6,3,5,1,8,2]
[3,8,1,5,2,6,7,4]=>[4,7,6,2,5,1,8,3]
[4,8,1,5,6,2,7,3]=>[3,7,2,6,5,1,8,4]
[7,8,4,1,5,2,6,3]=>[3,6,2,5,1,4,8,7]
[5,4,3,1,2,7,8,6]=>[6,8,7,2,1,3,4,5]
[7,3,1,5,2,6,8,4]=>[4,8,6,2,5,1,3,7]
[7,1,5,2,3,6,8,4]=>[4,8,6,3,2,5,1,7]
[8,1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1,8]
[8,4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4,8]
[6,3,5,8,1,7,2,4]=>[4,2,7,1,8,5,3,6]
[6,7,5,3,8,2,1,4]=>[4,1,2,8,3,5,7,6]
[6,5,7,4,2,8,1,3]=>[3,1,8,2,4,7,5,6]
[6,5,2,1,4,8,7,3]=>[3,7,8,4,1,2,5,6]
[5,2,6,8,3,7,1,4]=>[4,1,7,3,8,6,2,5]
[4,2,5,8,6,7,1,3]=>[3,1,7,6,8,5,2,4]
[5,8,6,3,4,1,7,2]=>[2,7,1,4,3,6,8,5]
[6,3,4,1,5,8,7,2]=>[2,7,8,5,1,4,3,6]
[5,4,6,1,7,2,3,8]=>[8,3,2,7,1,6,4,5]
[7,5,4,1,8,6,2,3]=>[3,2,6,8,1,4,5,7]
[8,7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7,8]
[3,7,2,4,1,8,6,5]=>[5,6,8,1,4,2,7,3]
[3,7,2,4,1,5,8,6]=>[6,8,5,1,4,2,7,3]
[8,2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2,8]
[2,4,7,8,5,1,3,6]=>[6,3,1,5,8,7,4,2]
[7,8,3,4,1,2,6,5]=>[5,6,2,1,4,3,8,7]
[2,5,3,8,4,1,6,7]=>[7,6,1,4,8,3,5,2]
[8,2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2,8]
[2,7,6,5,3,8,4,1]=>[1,4,8,3,5,6,7,2]
[5,7,6,8,1,3,4,2]=>[2,4,3,1,8,6,7,5]
[3,6,5,1,7,4,8,2]=>[2,8,4,7,1,5,6,3]
[6,1,5,3,7,4,2,8]=>[8,2,4,7,3,5,1,6]
[5,3,7,6,8,4,2,1]=>[1,2,4,8,6,7,3,5]
[3,1,7,4,5,6,2,8]=>[8,2,6,5,4,7,1,3]
[3,6,7,1,2,5,4,8]=>[8,4,5,2,1,7,6,3]
[1,7,3,4,8,2,6,5]=>[5,6,2,8,4,3,7,1]
[8,5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5,8]
[2,6,5,4,8,3,7,1]=>[1,7,3,8,4,5,6,2]
[2,4,8,3,5,7,1,6]=>[6,1,7,5,3,8,4,2]
[8,1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1,8]
[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]
[1,3,7,2,4,6,5,8]=>[8,5,6,4,2,7,3,1]
[1,7,3,2,4,6,5,8]=>[8,5,6,4,2,3,7,1]
[1,8,3,7,4,2,5,6]=>[6,5,2,4,7,3,8,1]
[8,7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7,8]
[2,8,4,3,5,7,1,6]=>[6,1,7,5,3,4,8,2]
[3,2,8,7,4,1,5,6]=>[6,5,1,4,7,8,2,3]
[3,2,1,7,4,6,5,8]=>[8,5,6,4,7,1,2,3]
[3,2,6,5,1,7,8,4]=>[4,8,7,1,5,6,2,3]
[5,3,2,6,7,1,8,4]=>[4,8,1,7,6,2,3,5]
[3,2,8,6,7,4,1,5]=>[5,1,4,7,6,8,2,3]
[8,4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4,8]
[4,3,8,6,7,2,1,5]=>[5,1,2,7,6,8,3,4]
[4,3,6,2,8,7,1,5]=>[5,1,7,8,2,6,3,4]
[3,8,4,7,6,5,1,2]=>[2,1,5,6,7,4,8,3]
[7,8,4,2,6,3,5,1]=>[1,5,3,6,2,4,8,7]
[3,2,7,8,6,4,5,1]=>[1,5,4,6,8,7,2,3]
[3,2,7,5,6,8,4,1]=>[1,4,8,6,5,7,2,3]
[5,7,8,6,3,2,4,1]=>[1,4,2,3,6,8,7,5]
[6,5,4,2,1,7,8,3]=>[3,8,7,1,2,4,5,6]
[5,4,2,1,7,6,3,8]=>[8,3,6,7,1,2,4,5]
[4,1,6,5,2,7,8,3]=>[3,8,7,2,5,6,1,4]
[5,4,1,6,7,2,8,3]=>[3,8,2,7,6,1,4,5]
[6,8,5,3,1,7,2,4]=>[4,2,7,1,3,5,8,6]
[5,2,6,3,8,7,1,4]=>[4,1,7,8,3,6,2,5]
[8,6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6,8]
[1,8,3,6,7,4,2,5]=>[5,2,4,7,6,3,8,1]
[1,6,3,5,2,7,8,4]=>[4,8,7,2,5,3,6,1]
[1,5,7,3,2,6,4,8]=>[8,4,6,2,3,7,5,1]
[5,1,3,7,2,6,4,8]=>[8,4,6,2,7,3,1,5]
[8,1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1,8]
[6,1,4,8,2,7,3,5]=>[5,3,7,2,8,4,1,6]
[6,2,4,8,3,7,1,5]=>[5,1,7,3,8,4,2,6]
[8,7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7,8]
[8,1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1,8]
[7,1,5,6,8,2,4,3]=>[3,4,2,8,6,5,1,7]
[6,7,1,5,2,4,8,3]=>[3,8,4,2,5,1,7,6]
[7,6,1,5,2,4,3,8]=>[8,3,4,2,5,1,6,7]
[7,1,6,3,5,4,2,8]=>[8,2,4,5,3,6,1,7]
[1,6,7,3,5,4,8,2]=>[2,8,4,5,3,7,6,1]
[1,7,3,5,6,8,4,2]=>[2,4,8,6,5,3,7,1]
[1,7,8,3,6,4,5,2]=>[2,5,4,6,3,8,7,1]
[1,8,7,6,4,5,2,3]=>[3,2,5,4,6,7,8,1]
[8,2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2,8]
[2,8,5,7,6,4,1,3]=>[3,1,4,6,7,5,8,2]
[7,4,5,1,6,8,3,2]=>[2,3,8,6,1,5,4,7]
[4,1,7,5,6,8,3,2]=>[2,3,8,6,5,7,1,4]
[5,6,7,4,3,1,8,2]=>[2,8,1,3,4,7,6,5]
[6,7,8,5,3,1,4,2]=>[2,4,1,3,5,8,7,6]
[1,4,6,2,5,3,7,8]=>[8,7,3,5,2,6,4,1]
[1,6,3,2,5,4,7,8]=>[8,7,4,5,2,3,6,1]
[1,6,8,2,5,4,7,3]=>[3,7,4,5,2,8,6,1]
[1,5,4,2,6,3,7,8]=>[8,7,3,6,2,4,5,1]
[1,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,1]
[1,6,8,2,7,5,4,3]=>[3,4,5,7,2,8,6,1]
[1,7,4,3,2,6,8,5]=>[5,8,6,2,3,4,7,1]
[1,5,4,7,2,6,8,3]=>[3,8,6,2,7,4,5,1]
[1,3,7,6,2,8,5,4]=>[4,5,8,2,6,7,3,1]
[1,7,6,2,8,4,3,5]=>[5,3,4,8,2,6,7,1]
[1,5,2,8,4,3,7,6]=>[6,7,3,4,8,2,5,1]
[1,2,8,4,3,6,5,7]=>[7,5,6,3,4,8,2,1]
[1,2,8,5,6,3,4,7]=>[7,4,3,6,5,8,2,1]
[1,7,3,5,2,8,6,4]=>[4,6,8,2,5,3,7,1]
[1,6,7,2,5,8,4,3]=>[3,4,8,5,2,7,6,1]
[1,5,8,3,2,7,4,6]=>[6,4,7,2,3,8,5,1]
[1,4,5,8,2,6,3,7]=>[7,3,6,2,8,5,4,1]
[1,7,6,4,8,2,5,3]=>[3,5,2,8,4,6,7,1]
[1,4,8,6,5,2,7,3]=>[3,7,2,5,6,8,4,1]
[1,3,8,2,6,5,4,7]=>[7,4,5,6,2,8,3,1]
[1,7,6,3,8,2,4,5]=>[5,4,2,8,3,6,7,1]
[1,5,2,7,6,4,8,3]=>[3,8,4,6,7,2,5,1]
[1,2,4,3,8,7,5,6]=>[6,5,7,8,3,4,2,1]
[1,4,3,8,7,2,5,6]=>[6,5,2,7,8,3,4,1]
[1,3,8,6,2,4,5,7]=>[7,5,4,2,6,8,3,1]
[1,3,8,5,4,2,6,7]=>[7,6,2,4,5,8,3,1]
[1,7,2,4,8,6,5,3]=>[3,5,6,8,4,2,7,1]
[1,6,5,3,2,8,7,4]=>[4,7,8,2,3,5,6,1]
[1,3,2,8,7,5,4,6]=>[6,4,5,7,8,2,3,1]
[1,2,8,6,5,4,3,7]=>[7,3,4,5,6,8,2,1]
[8,1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1,8]
[8,3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3,8]
[5,8,3,1,2,6,4,7]=>[7,4,6,2,1,3,8,5]
[4,8,1,7,5,2,3,6]=>[6,3,2,5,7,1,8,4]
[4,8,1,7,5,2,6,3]=>[3,6,2,5,7,1,8,4]
[8,5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5,8]
[8,4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4,8]
[8,5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5,8]
[8,1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1,8]
[8,5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5,8]
[4,8,7,1,5,2,6,3]=>[3,6,2,5,1,7,8,4]
[4,8,7,1,5,2,3,6]=>[6,3,2,5,1,7,8,4]
[7,6,8,4,1,3,2,5]=>[5,2,3,1,4,8,6,7]
[7,6,8,4,1,3,5,2]=>[2,5,3,1,4,8,6,7]
[3,8,7,5,4,1,2,6]=>[6,2,1,4,5,7,8,3]
[4,8,2,7,5,1,3,6]=>[6,3,1,5,7,2,8,4]
[7,6,8,4,1,5,2,3]=>[3,2,5,1,4,8,6,7]
[8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8]
[7,1,4,8,6,3,5,2]=>[2,5,3,6,8,4,1,7]
[8,1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1,8]
[8,6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6,8]
[8,6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6,8]
[8,7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7,8]
[8,7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7,8]
[8,6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6,8]
[7,1,4,8,3,6,5,2]=>[2,5,6,3,8,4,1,7]
[7,8,5,2,4,3,6,1]=>[1,6,3,4,2,5,8,7]
[7,3,8,2,5,4,6,1]=>[1,6,4,5,2,8,3,7]
[8,4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4,8]
[4,8,1,5,3,7,6,2]=>[2,6,7,3,5,1,8,4]
[7,4,8,2,6,3,5,1]=>[1,5,3,6,2,8,4,7]
[7,4,8,2,6,3,1,5]=>[5,1,3,6,2,8,4,7]
[8,7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7,8]
[8,7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7,8]
[8,7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7,8]
[8,4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4,8]
[6,4,1,7,8,5,3,2]=>[2,3,5,8,7,1,4,6]
[7,6,3,4,1,8,5,2]=>[2,5,8,1,4,3,6,7]
[8,7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7,8]
[7,8,6,4,2,5,1,3]=>[3,1,5,2,4,6,8,7]
[7,8,2,4,6,5,1,3]=>[3,1,5,6,4,2,8,7]
[8,1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1,8]
[8,7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7,8]
[8,1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1,8]
[8,7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7,8]
[5,3,1,7,6,4,2,8]=>[8,2,4,6,7,1,3,5]
[7,5,3,2,1,6,4,8]=>[8,4,6,1,2,3,5,7]
[7,6,5,3,1,4,2,8]=>[8,2,4,1,3,5,6,7]
[1,8,6,4,3,2,7,5]=>[5,7,2,3,4,6,8,1]
[1,8,7,6,4,2,5,3]=>[3,5,2,4,6,7,8,1]
[8,4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4,8]
[1,4,8,6,7,5,3,2]=>[2,3,5,7,6,8,4,1]
[7,3,8,5,6,4,2,1]=>[1,2,4,6,5,8,3,7]
[7,8,2,5,6,4,3,1]=>[1,3,4,6,5,2,8,7]
[7,6,2,5,8,4,3,1]=>[1,3,4,8,5,2,6,7]
[1,7,3,6,8,5,4,2]=>[2,4,5,8,6,3,7,1]
[8,6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6,8]
[7,1,3,6,8,5,4,2]=>[2,4,5,8,6,3,1,7]
[1,8,3,6,7,5,4,2]=>[2,4,5,7,6,3,8,1]
[1,8,2,7,5,6,4,3]=>[3,4,6,5,7,2,8,1]
[7,8,1,6,4,5,3,2]=>[2,3,5,4,6,1,8,7]
[7,6,1,8,4,5,3,2]=>[2,3,5,4,8,1,6,7]
[8,6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6,8]
[7,2,8,6,4,5,3,1]=>[1,3,5,4,6,8,2,7]
[8,1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1,8]
[7,1,8,6,4,5,3,2]=>[2,3,5,4,6,8,1,7]
[1,6,2,5,4,3,7,8]=>[8,7,3,4,5,2,6,1]
[1,6,2,7,4,5,3,8]=>[8,3,5,4,7,2,6,1]
[1,7,2,6,4,5,3,8]=>[8,3,5,4,6,2,7,1]
[1,7,2,8,4,3,6,5]=>[5,6,3,4,8,2,7,1]
[1,8,2,6,4,3,5,7]=>[7,5,3,4,6,2,8,1]
[1,7,2,6,4,3,5,8]=>[8,5,3,4,6,2,7,1]
[1,6,2,7,4,3,5,8]=>[8,5,3,4,7,2,6,1]
[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]
[1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]
[1,2,8,3,4,7,5,6]=>[6,5,7,4,3,8,2,1]
[8,1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1,8]
[6,5,7,2,3,1,8,4]=>[4,8,1,3,2,7,5,6]
[6,5,7,2,8,3,4,1]=>[1,4,3,8,2,7,5,6]
[6,5,7,2,8,1,4,3]=>[3,4,1,8,2,7,5,6]
[6,2,7,5,8,1,4,3]=>[3,4,1,8,5,7,2,6]
[6,7,2,5,8,1,4,3]=>[3,4,1,8,5,2,7,6]
[6,7,3,5,8,1,4,2]=>[2,4,1,8,5,3,7,6]
[7,3,6,8,2,4,1,5]=>[5,1,4,2,8,6,3,7]
[6,7,3,5,8,2,4,1]=>[1,4,2,8,5,3,7,6]
[6,3,7,2,4,1,8,5]=>[5,8,1,4,2,7,3,6]
[6,3,7,5,8,1,4,2]=>[2,4,1,8,5,7,3,6]
[6,5,7,3,8,1,4,2]=>[2,4,1,8,3,7,5,6]
[6,3,7,4,8,2,5,1]=>[1,5,2,8,4,7,3,6]
[6,3,7,4,8,1,5,2]=>[2,5,1,8,4,7,3,6]
[6,2,7,4,8,3,5,1]=>[1,5,3,8,4,7,2,6]
[6,2,7,4,8,1,5,3]=>[3,5,1,8,4,7,2,6]
[8,7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7,8]
[8,7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7,8]
[6,8,4,5,7,3,2,1]=>[1,2,3,7,5,4,8,6]
[4,8,7,1,6,3,5,2]=>[2,5,3,6,1,7,8,4]
[5,6,4,2,1,7,8,3]=>[3,8,7,1,2,4,6,5]
[6,7,5,1,4,3,8,2]=>[2,8,3,4,1,5,7,6]
[6,8,5,1,4,3,7,2]=>[2,7,3,4,1,5,8,6]
[5,6,4,2,1,8,7,3]=>[3,7,8,1,2,4,6,5]
[7,8,5,1,4,3,6,2]=>[2,6,3,4,1,5,8,7]
[2,7,6,8,3,5,1,4]=>[4,1,5,3,8,6,7,2]
[6,1,7,8,4,3,5,2]=>[2,5,3,4,8,7,1,6]
[2,7,8,6,4,5,3,1]=>[1,3,5,4,6,8,7,2]
[4,8,5,6,2,3,1,7]=>[7,1,3,2,6,5,8,4]
[2,6,8,1,3,5,4,7]=>[7,4,5,3,1,8,6,2]
[5,2,1,3,6,8,4,7]=>[7,4,8,6,3,1,2,5]
[5,2,3,1,8,7,4,6]=>[6,4,7,8,1,3,2,5]
[7,2,1,5,3,8,6,4]=>[4,6,8,3,5,1,2,7]
[3,2,7,1,6,8,5,4]=>[4,5,8,6,1,7,2,3]
[5,8,2,7,6,1,3,4]=>[4,3,1,6,7,2,8,5]
[3,6,8,7,4,5,2,1]=>[1,2,5,4,7,8,6,3]
[8,6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6,8]
[5,2,1,3,6,7,4,8]=>[8,4,7,6,3,1,2,5]
[7,2,1,8,6,3,5,4]=>[4,5,3,6,8,1,2,7]
[3,2,4,8,1,7,6,5]=>[5,6,7,1,8,4,2,3]
[6,2,7,1,4,8,3,5]=>[5,3,8,4,1,7,2,6]
[4,3,6,8,7,2,1,5]=>[5,1,2,7,8,6,3,4]
[4,2,3,1,7,5,6,8]=>[8,6,5,7,1,3,2,4]
[5,1,8,7,3,4,2,6]=>[6,2,4,3,7,8,1,5]
[6,2,8,1,4,7,3,5]=>[5,3,7,4,1,8,2,6]
[8,2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2,8]
[8,2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2,8]
[4,2,3,1,5,8,6,7]=>[7,6,8,5,1,3,2,4]
[2,4,8,7,5,3,1,6]=>[6,1,3,5,7,8,4,2]
[2,6,8,7,5,3,4,1]=>[1,4,3,5,7,8,6,2]
[2,6,5,1,4,3,8,7]=>[7,8,3,4,1,5,6,2]
[6,5,1,2,4,3,8,7]=>[7,8,3,4,2,1,5,6]
[4,6,5,3,1,2,8,7]=>[7,8,2,1,3,5,6,4]
[4,8,7,5,3,1,2,6]=>[6,2,1,3,5,7,8,4]
[4,6,8,7,5,3,1,2]=>[2,1,3,5,7,8,6,4]
[6,8,7,5,3,1,4,2]=>[2,4,1,3,5,7,8,6]
[8,7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7,8]
[8,7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7,8]
[2,1,4,8,7,3,6,5]=>[5,6,3,7,8,4,1,2]
[4,8,7,3,1,2,6,5]=>[5,6,2,1,3,7,8,4]
[8,7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7,8]
[8,7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7,8]
[8,7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7,8]
[2,8,7,3,4,6,5,1]=>[1,5,6,4,3,7,8,2]
[2,8,7,3,6,5,1,4]=>[4,1,5,6,3,7,8,2]
[2,8,7,1,6,5,3,4]=>[4,3,5,6,1,7,8,2]
[8,7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7,8]
[8,7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7,8]
[2,1,8,7,3,4,6,5]=>[5,6,4,3,7,8,1,2]
[8,7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7,8]
[2,8,7,1,4,3,6,5]=>[5,6,3,4,1,7,8,2]
[2,8,7,3,4,1,6,5]=>[5,6,1,4,3,7,8,2]
[2,8,7,5,6,3,4,1]=>[1,4,3,6,5,7,8,2]
[2,4,8,7,3,1,6,5]=>[5,6,1,3,7,8,4,2]
[2,8,7,3,1,4,6,5]=>[5,6,4,1,3,7,8,2]
[2,4,3,1,8,7,5,6]=>[6,5,7,8,1,3,4,2]
[4,3,1,2,6,8,7,5]=>[5,7,8,6,2,1,3,4]
[2,8,7,5,6,3,1,4]=>[4,1,3,6,5,7,8,2]
[2,8,7,5,3,1,6,4]=>[4,6,1,3,5,7,8,2]
[2,8,7,5,3,6,4,1]=>[1,4,6,3,5,7,8,2]
[2,8,7,5,6,1,4,3]=>[3,4,1,6,5,7,8,2]
[2,6,8,7,5,1,4,3]=>[3,4,1,5,7,8,6,2]
[6,8,7,5,1,2,4,3]=>[3,4,2,1,5,7,8,6]
[8,7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7,8]
[8,7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7,8]
[2,4,8,7,3,6,5,1]=>[1,5,6,3,7,8,4,2]
[8,7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7,8]
[4,8,7,1,2,6,5,3]=>[3,5,6,2,1,7,8,4]
[8,7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7,8]
[8,7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7,8]
[8,7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7,8]
[8,7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7,8]
[7,1,2,3,5,4,6,8]=>[8,6,4,5,3,2,1,7]
[7,1,2,6,4,5,3,8]=>[8,3,5,4,6,2,1,7]
[7,1,2,4,3,5,6,8]=>[8,6,5,3,4,2,1,7]
[4,7,3,6,5,1,2,8]=>[8,2,1,5,6,3,7,4]
[5,2,6,3,7,1,4,8]=>[8,4,1,7,3,6,2,5]
[6,5,4,1,3,8,7,2]=>[2,7,8,3,1,4,5,6]
[7,5,4,2,8,3,1,6]=>[6,1,3,8,2,4,5,7]
[2,5,8,6,1,4,3,7]=>[7,3,4,1,6,8,5,2]
[8,3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3,8]
[3,1,6,8,5,7,2,4]=>[4,2,7,5,8,6,1,3]
[4,6,1,8,2,5,7,3]=>[3,7,5,2,8,1,6,4]
[2,5,6,1,8,4,7,3]=>[3,7,4,8,1,6,5,2]
[2,6,5,1,8,4,7,3]=>[3,7,4,8,1,5,6,2]
[7,5,4,1,2,8,6,3]=>[3,6,8,2,1,4,5,7]
[5,7,2,1,8,4,6,3]=>[3,6,4,8,1,2,7,5]
[8,4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4,8]
[7,2,8,6,4,3,1,5]=>[5,1,3,4,6,8,2,7]
[6,3,8,7,4,2,1,5]=>[5,1,2,4,7,8,3,6]
[7,6,3,2,8,4,1,5]=>[5,1,4,8,2,3,6,7]
[7,2,8,5,3,1,4,6]=>[6,4,1,3,5,8,2,7]
[4,7,2,8,3,1,5,6]=>[6,5,1,3,8,2,7,4]
[8,6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6,8]
[5,8,3,7,4,2,1,6]=>[6,1,2,4,7,3,8,5]
[4,1,7,3,5,8,6,2]=>[2,6,8,5,3,7,1,4]
[8,4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4,8]
[5,4,8,1,3,2,6,7]=>[7,6,2,3,1,8,4,5]
[4,5,8,2,1,3,6,7]=>[7,6,3,1,2,8,5,4]
[8,1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1,8]
[1,8,3,5,7,2,4,6]=>[6,4,2,7,5,3,8,1]
[8,1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1,8]
[5,8,1,3,2,7,6,4]=>[4,6,7,2,3,1,8,5]
[5,3,7,1,2,8,6,4]=>[4,6,8,2,1,7,3,5]
[1,7,3,8,6,2,4,5]=>[5,4,2,6,8,3,7,1]
[8,6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6,8]
[8,1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1,8]
[1,8,7,4,6,2,5,3]=>[3,5,2,6,4,7,8,1]
[1,8,5,7,2,6,4,3]=>[3,4,6,2,7,5,8,1]
[1,5,7,3,6,8,2,4]=>[4,2,8,6,3,7,5,1]
[8,4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4,8]
[1,3,4,7,6,8,2,5]=>[5,2,8,6,7,4,3,1]
[8,1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1,8]
[1,2,4,7,8,5,3,6]=>[6,3,5,8,7,4,2,1]
[3,1,4,7,6,8,2,5]=>[5,2,8,6,7,4,1,3]
[4,1,3,7,6,8,2,5]=>[5,2,8,6,7,3,1,4]
[5,1,7,3,6,8,2,4]=>[4,2,8,6,3,7,1,5]
[6,7,8,2,4,5,1,3]=>[3,1,5,4,2,8,7,6]
[5,8,6,2,4,7,1,3]=>[3,1,7,4,2,6,8,5]
[3,8,2,6,5,7,1,4]=>[4,1,7,5,6,2,8,3]
[2,8,3,6,7,4,1,5]=>[5,1,4,7,6,3,8,2]
[8,7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7,8]
[8,7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7,8]
[1,8,2,7,5,4,3,6]=>[6,3,4,5,7,2,8,1]
[3,8,1,7,5,4,2,6]=>[6,2,4,5,7,1,8,3]
[5,8,6,1,7,3,2,4]=>[4,2,3,7,1,6,8,5]
[6,7,1,2,8,4,3,5]=>[5,3,4,8,2,1,7,6]
[2,1,3,8,6,5,4,7]=>[7,4,5,6,8,3,1,2]
[8,2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2,8]
[1,3,2,8,6,5,4,7]=>[7,4,5,6,8,2,3,1]
[3,4,1,7,6,8,2,5]=>[5,2,8,6,7,1,4,3]
[2,5,7,1,8,4,3,6]=>[6,3,4,8,1,7,5,2]
[3,5,7,1,6,8,2,4]=>[4,2,8,6,1,7,5,3]
[4,5,7,6,1,8,2,3]=>[3,2,8,1,6,7,5,4]
[5,4,7,6,8,3,1,2]=>[2,1,3,8,6,7,4,5]
[1,5,7,8,6,3,2,4]=>[4,2,3,6,8,7,5,1]
[8,4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4,8]
[8,3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3,8]
[1,4,8,6,7,3,2,5]=>[5,2,3,7,6,8,4,1]
[2,4,8,6,7,3,1,5]=>[5,1,3,7,6,8,4,2]
[5,2,7,8,6,3,1,4]=>[4,1,3,6,8,7,2,5]
[2,3,8,7,5,4,1,6]=>[6,1,4,5,7,8,3,2]
[1,3,8,7,5,4,2,6]=>[6,2,4,5,7,8,3,1]
[8,2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2,8]
[8,1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1,8]
[4,1,8,6,7,3,2,5]=>[5,2,3,7,6,8,1,4]
[4,8,7,5,6,2,1,3]=>[3,1,2,6,5,7,8,4]
[5,6,8,1,7,4,3,2]=>[2,3,4,7,1,8,6,5]
[4,1,8,7,3,6,5,2]=>[2,5,6,3,7,8,1,4]
[5,6,8,4,1,7,3,2]=>[2,3,7,1,4,8,6,5]
[4,5,8,7,3,1,6,2]=>[2,6,1,3,7,8,5,4]
[3,1,8,4,7,6,5,2]=>[2,5,6,7,4,8,1,3]
[1,5,8,4,3,7,6,2]=>[2,6,7,3,4,8,5,1]
[8,1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1,8]
[8,1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1,8]
[2,7,1,5,4,8,6,3]=>[3,6,8,4,5,1,7,2]
[8,6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6,8]
[2,4,1,6,7,5,8,3]=>[3,8,5,7,6,1,4,2]
[8,1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1,8]
[8,1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1,8]
[8,1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1,8]
[2,5,1,7,8,6,4,3]=>[3,4,6,8,7,1,5,2]
[3,5,6,2,8,7,4,1]=>[1,4,7,8,2,6,5,3]
[2,4,5,1,7,6,3,8]=>[8,3,6,7,1,5,4,2]
[7,3,1,5,6,4,2,8]=>[8,2,4,6,5,1,3,7]
[8,3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3,8]
[8,4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4,8]
[3,4,5,6,2,8,1,7]=>[7,1,8,2,6,5,4,3]
[3,7,4,2,8,5,1,6]=>[6,1,5,8,2,4,7,3]
[7,3,4,1,6,8,2,5]=>[5,2,8,6,1,4,3,7]
[2,6,3,1,4,7,5,8]=>[8,5,7,4,1,3,6,2]
[7,2,1,6,3,4,8,5]=>[5,8,4,3,6,1,2,7]
[7,3,4,1,6,5,8,2]=>[2,8,5,6,1,4,3,7]
[3,7,4,2,5,8,6,1]=>[1,6,8,5,2,4,7,3]
[2,3,5,1,4,8,7,6]=>[6,7,8,4,1,5,3,2]
[2,7,1,3,6,8,5,4]=>[4,5,8,6,3,1,7,2]
[2,7,1,3,8,4,6,5]=>[5,6,4,8,3,1,7,2]
[3,8,7,1,6,2,5,4]=>[4,5,2,6,1,7,8,3]
[3,8,7,1,4,5,2,6]=>[6,2,5,4,1,7,8,3]
[3,7,4,2,1,8,6,5]=>[5,6,8,1,2,4,7,3]
[4,8,5,7,2,6,3,1]=>[1,3,6,2,7,5,8,4]
[8,4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4,8]
[8,3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3,8]
[8,6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6,8]
[8,3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3,8]
[7,3,4,6,2,1,5,8]=>[8,5,1,2,6,4,3,7]
[3,7,4,6,1,5,2,8]=>[8,2,5,1,6,4,7,3]
[3,4,7,6,1,2,8,5]=>[5,8,2,1,6,7,4,3]
[4,5,8,7,6,1,3,2]=>[2,3,1,6,7,8,5,4]
[8,3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3,8]
[8,5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5,8]
[8,6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6,8]
[7,3,8,2,5,6,1,4]=>[4,1,6,5,2,8,3,7]
[8,5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5,8]
[8,7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7,8]
[7,6,3,8,1,4,5,2]=>[2,5,4,1,8,3,6,7]
[7,4,2,5,6,1,8,3]=>[3,8,1,6,5,2,4,7]
[8,5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5,8]
[8,7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7,8]
[6,4,7,2,1,5,8,3]=>[3,8,5,1,2,7,4,6]
[8,4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4,8]
[8,5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5,8]
[8,7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7,8]
[8,7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7,8]
[8,6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6,8]
[8,6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6,8]
[8,5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5,8]
[8,5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5,8]
[7,6,3,8,1,4,2,5]=>[5,2,4,1,8,3,6,7]
[7,4,8,2,6,1,5,3]=>[3,5,1,6,2,8,4,7]
[4,6,3,5,2,1,7,8]=>[8,7,1,2,5,3,6,4]
[6,4,7,3,1,5,2,8]=>[8,2,5,1,3,7,4,6]
[7,4,5,3,1,2,8,6]=>[6,8,2,1,3,5,4,7]
[8,5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5,8]
[5,6,3,2,1,7,4,8]=>[8,4,7,1,2,3,6,5]
[8,5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5,8]
[8,7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7,8]
[8,7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7,8]
[8,6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6,8]
[7,4,5,2,1,3,8,6]=>[6,8,3,1,2,5,4,7]
[8,7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7,8]
[8,7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7,8]
[6,5,3,7,4,2,1,8]=>[8,1,2,4,7,3,5,6]
[1,6,3,8,4,2,5,7]=>[7,5,2,4,8,3,6,1]
[4,7,2,5,3,6,1,8]=>[8,1,6,3,5,2,7,4]
[1,8,3,4,5,2,6,7]=>[7,6,2,5,4,3,8,1]
[1,8,6,4,2,5,3,7]=>[7,3,5,2,4,6,8,1]
[8,2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2,8]
[7,8,3,4,6,1,5,2]=>[2,5,1,6,4,3,8,7]
[4,8,7,5,3,1,6,2]=>[2,6,1,3,5,7,8,4]
[6,1,4,8,3,2,5,7]=>[7,5,2,3,8,4,1,6]
[4,1,8,5,3,2,6,7]=>[7,6,2,3,5,8,1,4]
[8,1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1,8]
[3,1,7,4,2,5,8,6]=>[6,8,5,2,4,7,1,3]
[1,2,7,4,3,5,6,8]=>[8,6,5,3,4,7,2,1]
[6,1,8,5,2,4,3,7]=>[7,3,4,2,5,8,1,6]
[6,8,2,5,1,4,7,3]=>[3,7,4,1,5,2,8,6]
[4,5,2,1,6,8,7,3]=>[3,7,8,6,1,2,5,4]
[7,2,8,6,5,1,4,3]=>[3,4,1,5,6,8,2,7]
[7,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,7]
[8,7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7,8]
[1,7,8,6,2,4,3,5]=>[5,3,4,2,6,8,7,1]
[7,6,3,1,2,5,4,8]=>[8,4,5,2,1,3,6,7]
[8,5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5,8]
[8,2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2,8]
[3,8,1,5,6,2,4,7]=>[7,4,2,6,5,1,8,3]
[6,8,4,1,5,2,3,7]=>[7,3,2,5,1,4,8,6]
[3,2,8,1,6,4,5,7]=>[7,5,4,6,1,8,2,3]
[5,2,1,3,7,6,4,8]=>[8,4,6,7,3,1,2,5]
[5,4,1,2,8,3,7,6]=>[6,7,3,8,2,1,4,5]
[5,8,4,1,2,3,7,6]=>[6,7,3,2,1,4,8,5]
[7,1,2,5,3,4,6,8]=>[8,6,4,3,5,2,1,7]
[1,6,7,3,2,8,4,5]=>[5,4,8,2,3,7,6,1]
[1,8,6,3,2,7,4,5]=>[5,4,7,2,3,6,8,1]
[1,5,3,7,2,8,4,6]=>[6,4,8,2,7,3,5,1]
[1,5,7,3,8,2,4,6]=>[6,4,2,8,3,7,5,1]
[1,4,6,2,8,5,3,7]=>[7,3,5,8,2,6,4,1]
[1,8,5,2,6,4,3,7]=>[7,3,4,6,2,5,8,1]
[1,8,6,2,7,4,5,3]=>[3,5,4,7,2,6,8,1]
[1,5,6,2,8,4,3,7]=>[7,3,4,8,2,6,5,1]
[3,6,1,7,4,8,5,2]=>[2,5,8,4,7,1,6,3]
[2,5,8,6,3,1,7,4]=>[4,7,1,3,6,8,5,2]
[2,4,6,3,1,7,5,8]=>[8,5,7,1,3,6,4,2]
[2,3,6,1,8,7,4,5]=>[5,4,7,8,1,6,3,2]
[3,4,8,6,5,7,2,1]=>[1,2,7,5,6,8,4,3]
[3,4,5,8,1,7,6,2]=>[2,6,7,1,8,5,4,3]
[1,2,4,7,3,6,5,8]=>[8,5,6,3,7,4,2,1]
[1,2,5,7,4,3,6,8]=>[8,6,3,4,7,5,2,1]
[1,2,5,7,4,6,8,3]=>[3,8,6,4,7,5,2,1]
[1,2,4,7,6,8,3,5]=>[5,3,8,6,7,4,2,1]
[3,5,8,6,1,7,2,4]=>[4,2,7,1,6,8,5,3]
[2,3,6,8,1,7,4,5]=>[5,4,7,1,8,6,3,2]
[2,3,7,1,8,6,4,5]=>[5,4,6,8,1,7,3,2]
[1,3,6,5,7,2,8,4]=>[4,8,2,7,5,6,3,1]
[1,4,3,6,7,8,2,5]=>[5,2,8,7,6,3,4,1]
[2,6,1,7,8,5,3,4]=>[4,3,5,8,7,1,6,2]
[2,4,8,5,6,7,1,3]=>[3,1,7,6,5,8,4,2]
[1,4,8,5,6,7,3,2]=>[2,3,7,6,5,8,4,1]
[1,7,4,8,5,6,3,2]=>[2,3,6,5,8,4,7,1]
[3,5,8,6,2,7,4,1]=>[1,4,7,2,6,8,5,3]
[7,8,2,5,1,6,4,3]=>[3,4,6,1,5,2,8,7]
[7,8,1,4,6,3,5,2]=>[2,5,3,6,4,1,8,7]
[2,4,8,6,7,1,5,3]=>[3,5,1,7,6,8,4,2]
[1,2,4,7,3,6,8,5]=>[5,8,6,3,7,4,2,1]
[1,2,5,7,4,6,3,8]=>[8,3,6,4,7,5,2,1]
[1,2,4,7,6,3,5,8]=>[8,5,3,6,7,4,2,1]
[1,3,8,6,7,5,4,2]=>[2,4,5,7,6,8,3,1]
[3,2,1,6,8,4,7,5]=>[5,7,4,8,6,1,2,3]
[4,8,3,1,6,5,7,2]=>[2,7,5,6,1,3,8,4]
[6,2,5,8,3,1,7,4]=>[4,7,1,3,8,5,2,6]
[1,6,8,5,4,2,7,3]=>[3,7,2,4,5,8,6,1]
[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]
[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]
[6,8,7,4,5,1,3,2]=>[2,3,1,5,4,7,8,6]
[6,1,3,5,4,2,8,7]=>[7,8,2,4,5,3,1,6]
[3,6,4,2,5,1,8,7]=>[7,8,1,5,2,4,6,3]
[2,8,5,7,6,1,4,3]=>[3,4,1,6,7,5,8,2]
[2,1,5,8,6,4,7,3]=>[3,7,4,6,8,5,1,2]
[4,2,8,5,6,3,7,1]=>[1,7,3,6,5,8,2,4]
[5,3,7,2,6,8,4,1]=>[1,4,8,6,2,7,3,5]
[8,7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7,8]
[5,7,2,3,4,6,8,1]=>[1,8,6,4,3,2,7,5]
[1,3,8,2,7,5,6,4]=>[4,6,5,7,2,8,3,1]
[1,8,7,3,2,5,6,4]=>[4,6,5,2,3,7,8,1]
[5,7,1,2,3,8,6,4]=>[4,6,8,3,2,1,7,5]
[4,7,6,2,1,8,5,3]=>[3,5,8,1,2,6,7,4]
[4,2,7,1,6,8,5,3]=>[3,5,8,6,1,7,2,4]
[4,2,1,7,6,8,5,3]=>[3,5,8,6,7,1,2,4]
[4,1,2,7,5,8,6,3]=>[3,6,8,5,7,2,1,4]
[6,3,4,7,8,1,5,2]=>[2,5,1,8,7,4,3,6]
[6,7,8,3,4,1,5,2]=>[2,5,1,4,3,8,7,6]
[1,7,8,4,2,5,6,3]=>[3,6,5,2,4,8,7,1]
[1,3,2,8,7,5,6,4]=>[4,6,5,7,8,2,3,1]
[3,1,2,8,5,7,6,4]=>[4,6,7,5,8,2,1,3]
[7,6,8,4,2,1,5,3]=>[3,5,1,2,4,8,6,7]
[7,1,8,5,2,3,6,4]=>[4,6,3,2,5,8,1,7]
[6,8,7,4,3,1,5,2]=>[2,5,1,3,4,7,8,6]
[7,8,6,2,4,1,5,3]=>[3,5,1,4,2,6,8,7]
[3,6,7,4,2,5,8,1]=>[1,8,5,2,4,7,6,3]
[7,2,8,4,6,1,5,3]=>[3,5,1,6,4,8,2,7]
[2,8,6,3,1,7,5,4]=>[4,5,7,1,3,6,8,2]
[3,6,4,7,2,5,8,1]=>[1,8,5,2,7,4,6,3]
[3,4,6,2,7,5,8,1]=>[1,8,5,7,2,6,4,3]
[2,4,7,1,8,6,5,3]=>[3,5,6,8,1,7,4,2]
[7,4,2,6,8,1,5,3]=>[3,5,1,8,6,2,4,7]
[7,4,6,2,8,1,5,3]=>[3,5,1,8,2,6,4,7]
[7,1,5,8,2,3,6,4]=>[4,6,3,2,8,5,1,7]
[7,6,4,8,2,1,5,3]=>[3,5,1,2,8,4,6,7]
[1,7,4,8,2,5,6,3]=>[3,6,5,2,8,4,7,1]
[7,5,6,1,2,4,3,8]=>[8,3,4,2,1,6,5,7]
[6,1,8,4,2,3,5,7]=>[7,5,3,2,4,8,1,6]
[7,1,6,3,8,5,4,2]=>[2,4,5,8,3,6,1,7]
[7,3,6,2,1,8,5,4]=>[4,5,8,1,2,6,3,7]
[7,4,6,2,1,8,5,3]=>[3,5,8,1,2,6,4,7]
[7,2,4,3,1,6,8,5]=>[5,8,6,1,3,4,2,7]
[7,2,3,1,6,4,8,5]=>[5,8,4,6,1,3,2,7]
[6,1,8,2,5,4,3,7]=>[7,3,4,5,2,8,1,6]
[1,5,8,7,3,4,6,2]=>[2,6,4,3,7,8,5,1]
[6,5,2,3,8,1,4,7]=>[7,4,1,8,3,2,5,6]
[2,1,8,6,3,4,5,7]=>[7,5,4,3,6,8,1,2]
[1,8,6,4,2,5,7,3]=>[3,7,5,2,4,6,8,1]
[5,6,2,1,8,4,7,3]=>[3,7,4,8,1,2,6,5]
[2,4,1,8,7,5,3,6]=>[6,3,5,7,8,1,4,2]
[2,8,1,6,5,7,3,4]=>[4,3,7,5,6,1,8,2]
[2,4,8,1,7,5,6,3]=>[3,6,5,7,1,8,4,2]
[5,2,1,4,8,3,7,6]=>[6,7,3,8,4,1,2,5]
[5,1,6,4,3,8,7,2]=>[2,7,8,3,4,6,1,5]
[6,5,4,7,3,1,8,2]=>[2,8,1,3,7,4,5,6]
[6,2,3,1,4,8,5,7]=>[7,5,8,4,1,3,2,6]
[5,2,1,8,4,7,6,3]=>[3,6,7,4,8,1,2,5]
[5,4,6,8,1,3,7,2]=>[2,7,3,1,8,6,4,5]
[6,7,5,1,3,4,8,2]=>[2,8,4,3,1,5,7,6]
[6,7,5,3,2,1,8,4]=>[4,8,1,2,3,5,7,6]
[3,7,1,6,4,5,8,2]=>[2,8,5,4,6,1,7,3]
[3,1,6,7,2,5,4,8]=>[8,4,5,2,7,6,1,3]
[3,5,2,1,4,6,7,8]=>[8,7,6,4,1,2,5,3]
[4,8,2,5,3,1,7,6]=>[6,7,1,3,5,2,8,4]
[2,1,3,7,6,4,5,8]=>[8,5,4,6,7,3,1,2]
[2,8,1,6,7,5,4,3]=>[3,4,5,7,6,1,8,2]
[1,3,8,7,5,4,6,2]=>[2,6,4,5,7,8,3,1]
[4,7,2,6,1,5,8,3]=>[3,8,5,1,6,2,7,4]
[4,7,8,6,3,1,5,2]=>[2,5,1,3,6,8,7,4]
[2,8,7,3,1,6,4,5]=>[5,4,6,1,3,7,8,2]
[5,3,8,4,6,7,1,2]=>[2,1,7,6,4,8,3,5]
[3,1,8,4,5,2,6,7]=>[7,6,2,5,4,8,1,3]
[2,3,8,6,4,7,1,5]=>[5,1,7,4,6,8,3,2]
[6,3,7,8,4,5,1,2]=>[2,1,5,4,8,7,3,6]
[6,7,3,4,8,5,1,2]=>[2,1,5,8,4,3,7,6]
[7,4,1,8,2,5,6,3]=>[3,6,5,2,8,1,4,7]
[3,1,7,2,5,6,8,4]=>[4,8,6,5,2,7,1,3]
[7,8,3,1,6,2,4,5]=>[5,4,2,6,1,3,8,7]
[2,3,7,4,5,1,8,6]=>[6,8,1,5,4,7,3,2]
[2,3,7,1,5,6,8,4]=>[4,8,6,5,1,7,3,2]
[7,3,4,8,1,5,6,2]=>[2,6,5,1,8,4,3,7]
[5,7,2,6,8,1,4,3]=>[3,4,1,8,6,2,7,5]
[4,1,5,7,3,2,8,6]=>[6,8,2,3,7,5,1,4]
[5,8,6,2,7,3,1,4]=>[4,1,3,7,2,6,8,5]
[6,5,1,7,8,3,4,2]=>[2,4,3,8,7,1,5,6]
[6,4,1,7,2,8,5,3]=>[3,5,8,2,7,1,4,6]
[5,4,1,7,3,8,6,2]=>[2,6,8,3,7,1,4,5]
[7,3,1,6,2,8,5,4]=>[4,5,8,2,6,1,3,7]
[6,4,1,8,2,7,3,5]=>[5,3,7,2,8,1,4,6]
[4,8,2,5,3,1,6,7]=>[7,6,1,3,5,2,8,4]
[5,4,1,8,3,6,7,2]=>[2,7,6,3,8,1,4,5]
[5,1,3,4,8,2,6,7]=>[7,6,2,8,4,3,1,5]
[4,6,2,8,1,7,3,5]=>[5,3,7,1,8,2,6,4]
[7,2,3,6,1,8,5,4]=>[4,5,8,1,6,3,2,7]
[7,8,2,3,5,1,6,4]=>[4,6,1,5,3,2,8,7]
[7,8,4,5,1,2,6,3]=>[3,6,2,1,5,4,8,7]
[6,1,4,5,7,8,2,3]=>[3,2,8,7,5,4,1,6]
[6,3,4,7,1,8,5,2]=>[2,5,8,1,7,4,3,6]
[5,1,3,4,7,2,8,6]=>[6,8,2,7,4,3,1,5]
[7,8,5,1,3,4,6,2]=>[2,6,4,3,1,5,8,7]
[7,1,3,4,5,6,8,2]=>[2,8,6,5,4,3,1,7]
[1,2,4,6,8,7,3,5]=>[5,3,7,8,6,4,2,1]
[8,5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5,8]
[1,8,3,5,6,2,7,4]=>[4,7,2,6,5,3,8,1]
[8,3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3,8]
[4,2,5,1,6,8,7,3]=>[3,7,8,6,1,5,2,4]
[8,2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2,8]
[7,1,2,6,8,3,5,4]=>[4,5,3,8,6,2,1,7]
[7,2,5,6,1,8,4,3]=>[3,4,8,1,6,5,2,7]
[5,4,2,7,8,6,1,3]=>[3,1,6,8,7,2,4,5]
[7,6,2,3,8,1,5,4]=>[4,5,1,8,3,2,6,7]
[4,7,6,8,1,2,5,3]=>[3,5,2,1,8,6,7,4]
[6,8,7,2,1,3,4,5]=>[5,4,3,1,2,7,8,6]
[7,8,6,1,3,4,2,5]=>[5,2,4,3,1,6,8,7]
[7,1,6,2,3,4,8,5]=>[5,8,4,3,2,6,1,7]
[7,6,2,1,3,4,8,5]=>[5,8,4,3,1,2,6,7]
[3,7,6,8,5,2,4,1]=>[1,4,2,5,8,6,7,3]
[3,8,5,4,7,6,2,1]=>[1,2,6,7,4,5,8,3]
[7,8,6,5,1,3,2,4]=>[4,2,3,1,5,6,8,7]
[1,7,8,5,2,6,3,4]=>[4,3,6,2,5,8,7,1]
[8,7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7,8]
[7,1,8,6,3,2,5,4]=>[4,5,2,3,6,8,1,7]
[7,6,1,2,5,3,8,4]=>[4,8,3,5,2,1,6,7]
[7,6,2,5,8,1,4,3]=>[3,4,1,8,5,2,6,7]
[5,8,7,2,6,3,4,1]=>[1,4,3,6,2,7,8,5]
[1,7,6,8,4,2,5,3]=>[3,5,2,4,8,6,7,1]
[7,6,2,4,8,1,5,3]=>[3,5,1,8,4,2,6,7]
[1,5,7,3,8,6,2,4]=>[4,2,6,8,3,7,5,1]
[5,7,8,2,6,1,3,4]=>[4,3,1,6,2,8,7,5]
[3,7,5,6,2,8,4,1]=>[1,4,8,2,6,5,7,3]
[6,7,5,1,8,2,3,4]=>[4,3,2,8,1,5,7,6]
[6,1,7,3,2,4,8,5]=>[5,8,4,2,3,7,1,6]
[7,6,1,2,4,3,8,5]=>[5,8,3,4,2,1,6,7]
[6,7,3,1,8,2,5,4]=>[4,5,2,8,1,3,7,6]
[6,7,2,1,5,3,8,4]=>[4,8,3,5,1,2,7,6]
[6,7,2,3,1,4,8,5]=>[5,8,4,1,3,2,7,6]
[4,3,2,8,7,1,6,5]=>[5,6,1,7,8,2,3,4]
[4,8,3,2,7,1,6,5]=>[5,6,1,7,2,3,8,4]
[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]
[5,3,8,7,1,6,4,2]=>[2,4,6,1,7,8,3,5]
[5,8,7,3,1,6,4,2]=>[2,4,6,1,3,7,8,5]
[5,3,8,2,1,7,6,4]=>[4,6,7,1,2,8,3,5]
[3,8,7,2,6,5,1,4]=>[4,1,5,6,2,7,8,3]
[7,4,1,8,6,5,3,2]=>[2,3,5,6,8,1,4,7]
[5,4,2,8,1,7,6,3]=>[3,6,7,1,8,2,4,5]
[5,8,4,2,1,7,6,3]=>[3,6,7,1,2,4,8,5]
[5,8,4,7,1,6,3,2]=>[2,3,6,1,7,4,8,5]
[5,4,8,3,1,7,6,2]=>[2,6,7,1,3,8,4,5]
[8,6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6,8]
[6,1,8,5,4,3,7,2]=>[2,7,3,4,5,8,1,6]
[5,6,1,8,3,4,7,2]=>[2,7,4,3,8,1,6,5]
[6,5,1,7,3,4,8,2]=>[2,8,4,3,7,1,5,6]
[6,8,1,5,2,4,7,3]=>[3,7,4,2,5,1,8,6]
[5,1,6,8,2,4,7,3]=>[3,7,4,2,8,6,1,5]
[6,1,5,8,4,7,2,3]=>[3,2,7,4,8,5,1,6]
[8,5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5,8]
[5,8,7,2,3,4,6,1]=>[1,6,4,3,2,7,8,5]
[7,2,5,6,1,4,8,3]=>[3,8,4,1,6,5,2,7]
[5,2,6,8,1,4,7,3]=>[3,7,4,1,8,6,2,5]
[6,7,4,2,5,8,1,3]=>[3,1,8,5,2,4,7,6]
[6,7,4,1,2,5,8,3]=>[3,8,5,2,1,4,7,6]
[1,6,8,5,2,4,7,3]=>[3,7,4,2,5,8,6,1]
[1,6,7,4,2,5,8,3]=>[3,8,5,2,4,7,6,1]
[3,6,7,5,8,1,2,4]=>[4,2,1,8,5,7,6,3]
[1,6,7,5,8,3,2,4]=>[4,2,3,8,5,7,6,1]
[1,6,8,5,7,4,2,3]=>[3,2,4,7,5,8,6,1]
[3,8,6,5,7,4,1,2]=>[2,1,4,7,5,6,8,3]
[2,6,7,5,8,3,1,4]=>[4,1,3,8,5,7,6,2]
[2,6,7,4,1,5,8,3]=>[3,8,5,1,4,7,6,2]
[6,7,4,1,5,8,2,3]=>[3,2,8,5,1,4,7,6]
[6,8,1,5,7,4,2,3]=>[3,2,4,7,5,1,8,6]
[3,8,1,6,5,7,4,2]=>[2,4,7,5,6,1,8,3]
[3,7,4,1,6,5,8,2]=>[2,8,5,6,1,4,7,3]
[5,2,8,7,3,6,4,1]=>[1,4,6,3,7,8,2,5]
[8,1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1,8]
[6,8,2,1,5,7,4,3]=>[3,4,7,5,1,2,8,6]
[5,2,1,6,8,4,7,3]=>[3,7,4,8,6,1,2,5]
[7,3,1,4,8,6,5,2]=>[2,5,6,8,4,1,3,7]
[6,5,2,4,8,7,3,1]=>[1,3,7,8,4,2,5,6]
[6,5,8,7,4,2,3,1]=>[1,3,2,4,7,8,5,6]
[3,1,8,6,5,7,4,2]=>[2,4,7,5,6,8,1,3]
[6,8,5,7,4,2,1,3]=>[3,1,2,4,7,5,8,6]
[3,6,7,5,8,2,1,4]=>[4,1,2,8,5,7,6,3]
[1,8,6,5,7,4,3,2]=>[2,3,4,7,5,6,8,1]
[2,7,8,5,6,3,1,4]=>[4,1,3,6,5,8,7,2]
[4,7,8,5,6,3,1,2]=>[2,1,3,6,5,8,7,4]
[4,7,8,5,3,6,1,2]=>[2,1,6,3,5,8,7,4]
[2,7,8,5,3,4,6,1]=>[1,6,4,3,5,8,7,2]
[2,7,8,5,3,1,4,6]=>[6,4,1,3,5,8,7,2]
[4,7,5,3,8,1,2,6]=>[6,2,1,8,3,5,7,4]
[2,7,5,8,3,1,4,6]=>[6,4,1,3,8,5,7,2]
[2,7,5,8,3,4,6,1]=>[1,6,4,3,8,5,7,2]
[2,7,5,6,3,4,8,1]=>[1,8,4,3,6,5,7,2]
[2,7,5,6,3,1,4,8]=>[8,4,1,3,6,5,7,2]
[4,7,5,6,3,1,2,8]=>[8,2,1,3,6,5,7,4]
[4,7,5,3,6,1,2,8]=>[8,2,1,6,3,5,7,4]
[6,7,5,3,1,4,2,8]=>[8,2,4,1,3,5,7,6]
[4,7,5,3,1,6,2,8]=>[8,2,6,1,3,5,7,4]
[2,7,5,3,1,6,4,8]=>[8,4,6,1,3,5,7,2]
[2,7,5,3,6,1,4,8]=>[8,4,1,6,3,5,7,2]
[2,7,5,3,6,4,8,1]=>[1,8,4,6,3,5,7,2]
[2,7,5,3,8,4,6,1]=>[1,6,4,8,3,5,7,2]
[4,7,5,3,1,8,2,6]=>[6,2,8,1,3,5,7,4]
[6,7,5,3,1,8,2,4]=>[4,2,8,1,3,5,7,6]
[2,7,5,3,8,1,6,4]=>[4,6,1,8,3,5,7,2]
[2,7,5,3,8,6,1,4]=>[4,1,6,8,3,5,7,2]
[2,7,5,8,3,1,6,4]=>[4,6,1,3,8,5,7,2]
[4,7,5,3,8,1,6,2]=>[2,6,1,8,3,5,7,4]
[6,7,5,3,8,1,4,2]=>[2,4,1,8,3,5,7,6]
[8,7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7,8]
[4,7,5,3,8,6,1,2]=>[2,1,6,8,3,5,7,4]
[2,7,5,8,6,3,1,4]=>[4,1,3,6,8,5,7,2]
[2,7,5,8,6,3,4,1]=>[1,4,3,6,8,5,7,2]
[2,7,5,6,8,3,4,1]=>[1,4,3,8,6,5,7,2]
[2,7,5,6,8,3,1,4]=>[4,1,3,8,6,5,7,2]
[4,7,5,3,6,8,1,2]=>[2,1,8,6,3,5,7,4]
[6,7,5,3,4,1,8,2]=>[2,8,1,4,3,5,7,6]
[4,7,5,3,6,1,8,2]=>[2,8,1,6,3,5,7,4]
[2,7,5,6,3,1,8,4]=>[4,8,1,3,6,5,7,2]
[2,7,5,6,3,8,4,1]=>[1,4,8,3,6,5,7,2]
[2,7,5,3,6,8,4,1]=>[1,4,8,6,3,5,7,2]
[2,7,5,3,6,8,1,4]=>[4,1,8,6,3,5,7,2]
[2,7,5,3,6,1,8,4]=>[4,8,1,6,3,5,7,2]
[2,7,5,3,1,6,8,4]=>[4,8,6,1,3,5,7,2]
[4,7,5,3,1,6,8,2]=>[2,8,6,1,3,5,7,4]
[8,7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7,8]
[2,7,5,3,1,4,8,6]=>[6,8,4,1,3,5,7,2]
[2,7,5,3,4,1,8,6]=>[6,8,1,4,3,5,7,2]
[2,7,5,3,4,8,1,6]=>[6,1,8,4,3,5,7,2]
[2,7,5,3,4,8,6,1]=>[1,6,8,4,3,5,7,2]
[2,7,5,3,4,6,8,1]=>[1,8,6,4,3,5,7,2]
[2,7,5,3,4,6,1,8]=>[8,1,6,4,3,5,7,2]
[2,7,5,3,4,1,6,8]=>[8,6,1,4,3,5,7,2]
[2,7,5,3,1,4,6,8]=>[8,6,4,1,3,5,7,2]
[4,7,5,3,1,2,6,8]=>[8,6,2,1,3,5,7,4]
[5,7,6,2,8,3,1,4]=>[4,1,3,8,2,6,7,5]
[5,1,6,3,2,4,8,7]=>[7,8,4,2,3,6,1,5]
[5,7,6,1,8,3,2,4]=>[4,2,3,8,1,6,7,5]
[3,8,7,1,2,5,4,6]=>[6,4,5,2,1,7,8,3]
[3,8,7,2,1,5,4,6]=>[6,4,5,1,2,7,8,3]
[3,7,5,2,1,4,8,6]=>[6,8,4,1,2,5,7,3]
[4,6,5,7,8,3,1,2]=>[2,1,3,8,7,5,6,4]
[5,7,6,3,8,2,1,4]=>[4,1,2,8,3,6,7,5]
[5,7,6,1,8,4,2,3]=>[3,2,4,8,1,6,7,5]
[5,8,6,1,7,4,2,3]=>[3,2,4,7,1,6,8,5]
[6,1,7,2,8,4,3,5]=>[5,3,4,8,2,7,1,6]
[4,8,5,6,7,3,1,2]=>[2,1,3,7,6,5,8,4]
[6,1,7,2,8,5,3,4]=>[4,3,5,8,2,7,1,6]
[3,7,6,2,8,5,1,4]=>[4,1,5,8,2,6,7,3]
[3,7,6,1,8,4,2,5]=>[5,2,4,8,1,6,7,3]
[2,6,7,1,8,4,3,5]=>[5,3,4,8,1,7,6,2]
[6,1,7,3,8,5,2,4]=>[4,2,5,8,3,7,1,6]
[7,1,8,3,2,5,4,6]=>[6,4,5,2,3,8,1,7]
[5,1,7,3,2,4,8,6]=>[6,8,4,2,3,7,1,5]
[2,7,8,3,1,5,4,6]=>[6,4,5,1,3,8,7,2]
[2,5,6,8,7,3,1,4]=>[4,1,3,7,8,6,5,2]
[4,8,5,6,7,2,1,3]=>[3,1,2,7,6,5,8,4]
[5,8,7,2,3,4,1,6]=>[6,1,4,3,2,7,8,5]
[5,8,6,2,7,4,1,3]=>[3,1,4,7,2,6,8,5]
[2,4,6,7,8,5,1,3]=>[3,1,5,8,7,6,4,2]
[2,4,6,7,8,3,1,5]=>[5,1,3,8,7,6,4,2]
[4,7,6,2,8,3,1,5]=>[5,1,3,8,2,6,7,4]
[4,7,6,2,8,5,1,3]=>[3,1,5,8,2,6,7,4]
[5,8,6,3,7,4,1,2]=>[2,1,4,7,3,6,8,5]
[5,8,7,3,2,4,1,6]=>[6,1,4,2,3,7,8,5]
[4,6,5,8,7,3,1,2]=>[2,1,3,7,8,5,6,4]
[5,8,6,3,7,2,1,4]=>[4,1,2,7,3,6,8,5]
[8,3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3,8]
[4,5,1,2,8,7,3,6]=>[6,3,7,8,2,1,5,4]
[5,6,1,2,8,3,7,4]=>[4,7,3,8,2,1,6,5]
[5,8,7,1,6,2,4,3]=>[3,4,2,6,1,7,8,5]
[4,8,5,1,7,6,2,3]=>[3,2,6,7,1,5,8,4]
[8,4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4,8]
[7,3,1,4,8,2,6,5]=>[5,6,2,8,4,1,3,7]
[6,3,1,4,8,2,7,5]=>[5,7,2,8,4,1,3,6]
[8,5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5,8]
[5,4,7,1,8,2,6,3]=>[3,6,2,8,1,7,4,5]
[7,5,6,1,3,8,4,2]=>[2,4,8,3,1,6,5,7]
[7,3,1,5,4,8,6,2]=>[2,6,8,4,5,1,3,7]
[7,4,6,1,3,8,5,2]=>[2,5,8,3,1,6,4,7]
[6,8,5,1,3,7,4,2]=>[2,4,7,3,1,5,8,6]
[5,7,6,1,3,8,4,2]=>[2,4,8,3,1,6,7,5]
[6,7,5,1,3,8,4,2]=>[2,4,8,3,1,5,7,6]
[6,7,1,4,2,8,5,3]=>[3,5,8,2,4,1,7,6]
[5,7,1,4,2,8,6,3]=>[3,6,8,2,4,1,7,5]
[3,4,1,8,6,5,7,2]=>[2,7,5,6,8,1,4,3]
[8,3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3,8]
[5,7,1,2,4,8,6,3]=>[3,6,8,4,2,1,7,5]
[6,7,4,1,3,8,5,2]=>[2,5,8,3,1,4,7,6]
[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]
[7,6,1,2,4,8,5,3]=>[3,5,8,4,2,1,6,7]
[7,6,4,1,3,8,5,2]=>[2,5,8,3,1,4,6,7]
[7,4,5,1,3,8,6,2]=>[2,6,8,3,1,5,4,7]
[1,5,7,8,4,2,3,6]=>[6,3,2,4,8,7,5,1]
[1,3,6,4,2,5,7,8]=>[8,7,5,2,4,6,3,1]
[1,4,5,7,8,3,6,2]=>[2,6,3,8,7,5,4,1]
[1,5,7,8,3,6,2,4]=>[4,2,6,3,8,7,5,1]
[1,5,7,8,2,4,3,6]=>[6,3,4,2,8,7,5,1]
[6,8,1,7,2,4,5,3]=>[3,5,4,2,7,1,8,6]
[6,8,4,7,3,2,1,5]=>[5,1,2,3,7,4,8,6]
[3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]
[6,8,3,2,1,5,4,7]=>[7,4,5,1,2,3,8,6]
[6,5,8,2,1,3,4,7]=>[7,4,3,1,2,8,5,6]
[2,8,5,3,6,1,4,7]=>[7,4,1,6,3,5,8,2]
[2,8,1,4,6,7,5,3]=>[3,5,7,6,4,1,8,2]
[2,8,4,1,7,6,5,3]=>[3,5,6,7,1,4,8,2]
[6,8,5,4,2,7,1,3]=>[3,1,7,2,4,5,8,6]
[1,8,4,6,3,2,7,5]=>[5,7,2,3,6,4,8,1]
[6,4,8,5,3,2,1,7]=>[7,1,2,3,5,8,4,6]
[5,4,1,7,3,2,6,8]=>[8,6,2,3,7,1,4,5]
[3,5,6,1,4,2,7,8]=>[8,7,2,4,1,6,5,3]
[1,6,3,8,4,2,7,5]=>[5,7,2,4,8,3,6,1]
[5,3,6,8,4,2,7,1]=>[1,7,2,4,8,6,3,5]
[6,5,8,1,2,3,7,4]=>[4,7,3,2,1,8,5,6]
[5,3,1,4,7,6,8,2]=>[2,8,6,7,4,1,3,5]
[7,1,3,2,4,6,8,5]=>[5,8,6,4,2,3,1,7]
[6,4,3,2,7,5,8,1]=>[1,8,5,7,2,3,4,6]
[7,4,5,6,1,3,8,2]=>[2,8,3,1,6,5,4,7]
[7,5,4,2,1,3,8,6]=>[6,8,3,1,2,4,5,7]
[1,6,7,8,3,5,2,4]=>[4,2,5,3,8,7,6,1]
[2,1,4,8,7,3,5,6]=>[6,5,3,7,8,4,1,2]
[2,6,5,7,8,3,1,4]=>[4,1,3,8,7,5,6,2]
[3,7,6,8,2,5,4,1]=>[1,4,5,2,8,6,7,3]
[5,4,6,8,7,1,3,2]=>[2,3,1,7,8,6,4,5]
[4,1,8,2,6,7,5,3]=>[3,5,7,6,2,8,1,4]
[3,6,7,8,2,1,4,5]=>[5,4,1,2,8,7,6,3]
[2,5,7,1,6,3,4,8]=>[8,4,3,6,1,7,5,2]
[4,2,8,3,6,5,1,7]=>[7,1,5,6,3,8,2,4]
[6,3,8,7,2,4,5,1]=>[1,5,4,2,7,8,3,6]
[7,6,1,8,2,4,5,3]=>[3,5,4,2,8,1,6,7]
[2,5,6,3,4,8,1,7]=>[7,1,8,4,3,6,5,2]
[5,2,1,4,7,8,6,3]=>[3,6,8,7,4,1,2,5]
[5,2,4,7,8,6,1,3]=>[3,1,6,8,7,4,2,5]
[3,5,1,2,8,6,4,7]=>[7,4,6,8,2,1,5,3]
[7,2,1,3,4,8,5,6]=>[6,5,8,4,3,1,2,7]
[2,4,5,7,1,8,6,3]=>[3,6,8,1,7,5,4,2]
[2,6,4,7,3,1,5,8]=>[8,5,1,3,7,4,6,2]
[6,2,4,7,3,8,5,1]=>[1,5,8,3,7,4,2,6]
[7,6,3,1,2,5,8,4]=>[4,8,5,2,1,3,6,7]
[1,5,7,4,3,2,8,6]=>[6,8,2,3,4,7,5,1]
[8,1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1,8]
[6,1,4,2,5,7,8,3]=>[3,8,7,5,2,4,1,6]
[3,4,8,6,7,2,5,1]=>[1,5,2,7,6,8,4,3]
[1,6,7,2,4,3,5,8]=>[8,5,3,4,2,7,6,1]
[1,8,7,3,2,6,5,4]=>[4,5,6,2,3,7,8,1]
[1,8,3,4,5,2,7,6]=>[6,7,2,5,4,3,8,1]
[1,8,3,6,4,7,2,5]=>[5,2,7,4,6,3,8,1]
[1,8,5,3,6,7,2,4]=>[4,2,7,6,3,5,8,1]
[1,4,7,2,5,6,3,8]=>[8,3,6,5,2,7,4,1]
[5,4,1,7,3,6,2,8]=>[8,2,6,3,7,1,4,5]
[7,3,5,8,2,6,1,4]=>[4,1,6,2,8,5,3,7]
[3,5,8,6,4,7,1,2]=>[2,1,7,4,6,8,5,3]
[3,4,8,6,7,2,1,5]=>[5,1,2,7,6,8,4,3]
[3,4,8,2,5,1,7,6]=>[6,7,1,5,2,8,4,3]
[1,4,6,2,5,8,7,3]=>[3,7,8,5,2,6,4,1]
[1,4,7,6,3,2,8,5]=>[5,8,2,3,6,7,4,1]
[1,5,6,4,2,3,8,7]=>[7,8,3,2,4,6,5,1]
[6,3,4,1,8,2,7,5]=>[5,7,2,8,1,4,3,6]
[4,1,6,8,2,5,7,3]=>[3,7,5,2,8,6,1,4]
[1,6,2,5,8,3,7,4]=>[4,7,3,8,5,2,6,1]
[1,7,2,5,8,4,3,6]=>[6,3,4,8,5,2,7,1]
[1,4,6,7,8,3,5,2]=>[2,5,3,8,7,6,4,1]
[4,1,5,3,6,8,7,2]=>[2,7,8,6,3,5,1,4]
[3,7,5,1,6,8,4,2]=>[2,4,8,6,1,5,7,3]
[6,1,4,7,8,2,5,3]=>[3,5,2,8,7,4,1,6]
[5,8,7,4,6,2,3,1]=>[1,3,2,6,4,7,8,5]
[6,8,7,1,5,3,4,2]=>[2,4,3,5,1,7,8,6]
[2,7,8,4,6,5,1,3]=>[3,1,5,6,4,8,7,2]
[3,7,8,5,4,6,2,1]=>[1,2,6,4,5,8,7,3]
[4,8,7,5,2,6,3,1]=>[1,3,6,2,5,7,8,4]
[2,8,7,4,6,1,5,3]=>[3,5,1,6,4,7,8,2]
[4,8,7,2,5,6,3,1]=>[1,3,6,5,2,7,8,4]
[4,7,8,5,3,6,2,1]=>[1,2,6,3,5,8,7,4]
[6,4,8,1,5,7,3,2]=>[2,3,7,5,1,8,4,6]
[1,6,8,3,5,2,7,4]=>[4,7,2,5,3,8,6,1]
[4,5,8,6,3,7,2,1]=>[1,2,7,3,6,8,5,4]
[2,6,7,8,4,5,1,3]=>[3,1,5,4,8,7,6,2]
[6,1,2,8,4,7,5,3]=>[3,5,7,4,8,2,1,6]
[4,7,1,8,5,6,3,2]=>[2,3,6,5,8,1,7,4]
[5,7,1,8,2,6,4,3]=>[3,4,6,2,8,1,7,5]
[7,2,1,8,6,4,5,3]=>[3,5,4,6,8,1,2,7]
[5,3,8,4,7,6,2,1]=>[1,2,6,7,4,8,3,5]
[2,5,8,1,7,4,6,3]=>[3,6,4,7,1,8,5,2]
[4,5,8,3,7,6,2,1]=>[1,2,6,7,3,8,5,4]
[1,7,2,8,6,4,5,3]=>[3,5,4,6,8,2,7,1]
[3,5,7,8,1,6,2,4]=>[4,2,6,1,8,7,5,3]
[2,4,7,8,5,6,1,3]=>[3,1,6,5,8,7,4,2]
[4,1,7,8,5,6,3,2]=>[2,3,6,5,8,7,1,4]
[3,5,8,6,4,7,2,1]=>[1,2,7,4,6,8,5,3]
[2,4,8,5,7,6,1,3]=>[3,1,6,7,5,8,4,2]
[2,6,3,8,5,1,7,4]=>[4,7,1,5,8,3,6,2]
[4,1,5,8,6,7,3,2]=>[2,3,7,6,8,5,1,4]
[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]
[4,5,8,2,6,3,1,7]=>[7,1,3,6,2,8,5,4]
[6,3,5,2,4,7,1,8]=>[8,1,7,4,2,5,3,6]
[5,2,6,3,4,8,1,7]=>[7,1,8,4,3,6,2,5]
[5,2,3,8,4,6,1,7]=>[7,1,6,4,8,3,2,5]
[4,2,3,5,8,6,1,7]=>[7,1,6,8,5,3,2,4]
[3,8,2,4,6,1,5,7]=>[7,5,1,6,4,2,8,3]
[2,3,8,4,6,1,5,7]=>[7,5,1,6,4,8,3,2]
[4,3,7,5,2,1,8,6]=>[6,8,1,2,5,7,3,4]
[5,3,4,7,6,1,2,8]=>[8,2,1,6,7,4,3,5]
[6,5,1,3,2,8,4,7]=>[7,4,8,2,3,1,5,6]
[5,1,4,3,2,7,6,8]=>[8,6,7,2,3,4,1,5]
[4,1,3,5,8,7,2,6]=>[6,2,7,8,5,3,1,4]
[3,1,2,7,4,8,6,5]=>[5,6,8,4,7,2,1,3]
[6,2,1,4,8,3,7,5]=>[5,7,3,8,4,1,2,6]
[3,4,7,2,1,8,5,6]=>[6,5,8,1,2,7,4,3]
[3,8,2,1,4,7,6,5]=>[5,6,7,4,1,2,8,3]
[3,2,4,7,1,8,5,6]=>[6,5,8,1,7,4,2,3]
[2,8,5,4,1,3,7,6]=>[6,7,3,1,4,5,8,2]
[4,2,3,5,7,1,8,6]=>[6,8,1,7,5,3,2,4]
[4,2,8,7,1,3,5,6]=>[6,5,3,1,7,8,2,4]
[4,8,6,5,3,1,2,7]=>[7,2,1,3,5,6,8,4]
[6,5,4,8,3,1,2,7]=>[7,2,1,3,8,4,5,6]
[5,4,6,3,1,7,2,8]=>[8,2,7,1,3,6,4,5]
[4,3,6,5,1,8,2,7]=>[7,2,8,1,5,6,3,4]
[1,5,6,8,7,3,2,4]=>[4,2,3,7,8,6,5,1]
[1,4,8,3,6,5,2,7]=>[7,2,5,6,3,8,4,1]
[4,8,1,3,6,5,2,7]=>[7,2,5,6,3,1,8,4]
[3,5,4,1,6,7,2,8]=>[8,2,7,6,1,4,5,3]
[3,4,1,8,6,5,2,7]=>[7,2,5,6,8,1,4,3]
[1,3,8,6,4,7,2,5]=>[5,2,7,4,6,8,3,1]
[1,2,8,6,4,3,7,5]=>[5,7,3,4,6,8,2,1]
[3,2,1,6,4,8,7,5]=>[5,7,8,4,6,1,2,3]
[6,5,1,8,7,3,2,4]=>[4,2,3,7,8,1,5,6]
[4,1,7,6,8,3,2,5]=>[5,2,3,8,6,7,1,4]
[2,1,7,6,4,3,8,5]=>[5,8,3,4,6,7,1,2]
[6,3,5,1,2,8,7,4]=>[4,7,8,2,1,5,3,6]
[8,1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1,8]
[1,8,4,7,6,2,3,5]=>[5,3,2,6,7,4,8,1]
[5,8,4,7,6,1,3,2]=>[2,3,1,6,7,4,8,5]
[8,3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3,8]
[8,2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2,8]
[1,6,3,7,4,5,2,8]=>[8,2,5,4,7,3,6,1]
[2,6,3,7,4,8,5,1]=>[1,5,8,4,7,3,6,2]
[4,6,1,7,8,2,5,3]=>[3,5,2,8,7,1,6,4]
[7,2,3,8,4,5,6,1]=>[1,6,5,4,8,3,2,7]
[5,2,6,7,8,3,4,1]=>[1,4,3,8,7,6,2,5]
[6,5,8,1,2,7,4,3]=>[3,4,7,2,1,8,5,6]
[6,5,1,8,7,2,4,3]=>[3,4,2,7,8,1,5,6]
[5,8,4,3,7,2,1,6]=>[6,1,2,7,3,4,8,5]
[6,1,2,8,7,3,4,5]=>[5,4,3,7,8,2,1,6]
[7,3,2,8,4,6,1,5]=>[5,1,6,4,8,2,3,7]
[4,5,1,7,6,2,8,3]=>[3,8,2,6,7,1,5,4]
[1,5,2,7,6,3,4,8]=>[8,4,3,6,7,2,5,1]
[7,2,6,8,3,5,4,1]=>[1,4,5,3,8,6,2,7]
[4,8,1,7,6,2,5,3]=>[3,5,2,6,7,1,8,4]
[7,2,8,6,5,3,4,1]=>[1,4,3,5,6,8,2,7]
[4,1,8,7,6,5,2,3]=>[3,2,5,6,7,8,1,4]
[7,6,5,2,8,4,3,1]=>[1,3,4,8,2,5,6,7]
[8,6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6,8]
[7,8,5,2,6,4,1,3]=>[3,1,4,6,2,5,8,7]
[8,7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7,8]
[6,5,1,8,7,4,3,2]=>[2,3,4,7,8,1,5,6]
[7,5,1,8,6,4,3,2]=>[2,3,4,6,8,1,5,7]
[8,5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5,8]
[8,5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5,8]
[7,6,8,2,5,4,1,3]=>[3,1,4,5,2,8,6,7]
[7,2,8,6,1,5,4,3]=>[3,4,5,1,6,8,2,7]
[7,8,6,2,5,1,4,3]=>[3,4,1,5,2,6,8,7]
[3,8,7,6,1,5,4,2]=>[2,4,5,1,6,7,8,3]
[1,6,7,8,4,5,2,3]=>[3,2,5,4,8,7,6,1]
[3,6,2,8,4,1,5,7]=>[7,5,1,4,8,2,6,3]
[8,3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3,8]
[8,6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6,8]
[3,8,6,5,4,1,7,2]=>[2,7,1,4,5,6,8,3]
[1,6,5,8,4,7,2,3]=>[3,2,7,4,8,5,6,1]
[2,4,5,7,3,1,6,8]=>[8,6,1,3,7,5,4,2]
[8,2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2,8]
[1,2,7,8,4,6,5,3]=>[3,5,6,4,8,7,2,1]
[6,3,8,4,1,2,5,7]=>[7,5,2,1,4,8,3,6]
[1,6,3,5,4,8,2,7]=>[7,2,8,4,5,3,6,1]
[4,5,3,1,8,7,2,6]=>[6,2,7,8,1,3,5,4]
[3,1,5,8,6,4,2,7]=>[7,2,4,6,8,5,1,3]
[3,4,8,1,5,2,6,7]=>[7,6,2,5,1,8,4,3]
[4,6,8,1,5,2,3,7]=>[7,3,2,5,1,8,6,4]
[5,2,6,7,1,8,3,4]=>[4,3,8,1,7,6,2,5]
[3,6,8,5,2,7,1,4]=>[4,1,7,2,5,8,6,3]
[6,1,8,2,7,4,3,5]=>[5,3,4,7,2,8,1,6]
[2,5,6,3,1,7,4,8]=>[8,4,7,1,3,6,5,2]
[7,5,2,6,1,4,3,8]=>[8,3,4,1,6,2,5,7]
[5,7,6,2,8,1,3,4]=>[4,3,1,8,2,6,7,5]
[5,2,4,6,8,7,1,3]=>[3,1,7,8,6,4,2,5]
[8,1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1,8]
[1,4,6,2,5,7,3,8]=>[8,3,7,5,2,6,4,1]
[8,6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6,8]
[7,1,6,5,2,8,4,3]=>[3,4,8,2,5,6,1,7]
[1,5,8,6,2,7,4,3]=>[3,4,7,2,6,8,5,1]
[6,4,7,1,3,8,2,5]=>[5,2,8,3,1,7,4,6]
[8,2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2,8]
[8,7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7,8]
[3,1,8,5,7,2,6,4]=>[4,6,2,7,5,8,1,3]
[6,5,2,1,7,4,3,8]=>[8,3,4,7,1,2,5,6]
[6,7,4,2,3,8,1,5]=>[5,1,8,3,2,4,7,6]
[5,6,4,3,8,1,2,7]=>[7,2,1,8,3,4,6,5]
[6,8,5,3,4,2,1,7]=>[7,1,2,4,3,5,8,6]
[8,5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5,8]
[8,6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6,8]
[8,5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5,8]
[8,5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5,8]
[5,7,2,4,8,1,6,3]=>[3,6,1,8,4,2,7,5]
[2,7,5,8,1,4,6,3]=>[3,6,4,1,8,5,7,2]
[2,7,3,5,8,1,6,4]=>[4,6,1,8,5,3,7,2]
[5,2,7,3,8,1,6,4]=>[4,6,1,8,3,7,2,5]
[8,5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5,8]
[8,5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5,8]
[3,7,5,8,2,1,6,4]=>[4,6,1,2,8,5,7,3]
[3,2,6,7,1,8,5,4]=>[4,5,8,1,7,6,2,3]
[6,1,3,7,8,2,5,4]=>[4,5,2,8,7,3,1,6]
[5,4,7,8,1,2,6,3]=>[3,6,2,1,8,7,4,5]
[5,7,1,4,3,8,6,2]=>[2,6,8,3,4,1,7,5]
[3,1,6,7,8,2,5,4]=>[4,5,2,8,7,6,1,3]
[1,3,6,7,8,2,5,4]=>[4,5,2,8,7,6,3,1]
[3,4,6,7,8,2,1,5]=>[5,1,2,8,7,6,4,3]
[1,6,3,7,8,2,5,4]=>[4,5,2,8,7,3,6,1]
[3,2,6,7,8,4,1,5]=>[5,1,4,8,7,6,2,3]
[6,2,7,8,5,3,1,4]=>[4,1,3,5,8,7,2,6]
[6,2,7,4,8,5,1,3]=>[3,1,5,8,4,7,2,6]
[6,2,1,4,7,8,5,3]=>[3,5,8,7,4,1,2,6]
[5,7,2,8,1,4,6,3]=>[3,6,4,1,8,2,7,5]
[7,8,4,3,1,6,5,2]=>[2,5,6,1,3,4,8,7]
[2,6,1,7,8,3,5,4]=>[4,5,3,8,7,1,6,2]
[2,7,5,8,6,1,3,4]=>[4,3,1,6,8,5,7,2]
[6,7,1,3,8,5,4,2]=>[2,4,5,8,3,1,7,6]
[6,7,1,8,5,2,4,3]=>[3,4,2,5,8,1,7,6]
[2,6,4,7,8,1,3,5]=>[5,3,1,8,7,4,6,2]
[1,2,6,7,8,5,3,4]=>[4,3,5,8,7,6,2,1]
[1,6,7,4,8,3,2,5]=>[5,2,3,8,4,7,6,1]
[1,6,4,7,8,3,2,5]=>[5,2,3,8,7,4,6,1]
[1,4,6,7,8,3,2,5]=>[5,2,3,8,7,6,4,1]
[6,1,2,4,5,3,7,8]=>[8,7,3,5,4,2,1,6]
[7,5,1,2,4,6,3,8]=>[8,3,6,4,2,1,5,7]
[8,1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1,8]
[8,7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7,8]
[2,7,4,8,6,5,3,1]=>[1,3,5,6,8,4,7,2]
[7,6,5,2,4,1,8,3]=>[3,8,1,4,2,5,6,7]
[7,6,4,3,1,5,8,2]=>[2,8,5,1,3,4,6,7]
[6,1,8,7,2,3,5,4]=>[4,5,3,2,7,8,1,6]
[8,6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6,8]
[3,6,8,2,7,1,5,4]=>[4,5,1,7,2,8,6,3]
[2,8,6,1,4,5,7,3]=>[3,7,5,4,1,6,8,2]
[6,8,7,2,5,4,1,3]=>[3,1,4,5,2,7,8,6]
[7,8,1,3,4,6,2,5]=>[5,2,6,4,3,1,8,7]
[3,2,6,4,8,7,5,1]=>[1,5,7,8,4,6,2,3]
[4,7,2,8,6,5,1,3]=>[3,1,5,6,8,2,7,4]
[4,7,1,8,6,5,3,2]=>[2,3,5,6,8,1,7,4]
[2,7,4,8,3,6,1,5]=>[5,1,6,3,8,4,7,2]
[4,7,3,8,6,1,5,2]=>[2,5,1,6,8,3,7,4]
[4,3,6,8,7,2,5,1]=>[1,5,2,7,8,6,3,4]
[4,3,8,2,5,7,6,1]=>[1,6,7,5,2,8,3,4]
[4,1,2,6,8,7,5,3]=>[3,5,7,8,6,2,1,4]
[3,1,6,4,8,7,2,5]=>[5,2,7,8,4,6,1,3]
[4,1,6,8,7,5,2,3]=>[3,2,5,7,8,6,1,4]
[3,8,1,4,5,7,2,6]=>[6,2,7,5,4,1,8,3]
[3,8,1,4,2,5,7,6]=>[6,7,5,2,4,1,8,3]
[4,1,8,3,5,2,7,6]=>[6,7,2,5,3,8,1,4]
[3,8,1,2,5,4,7,6]=>[6,7,4,5,2,1,8,3]
[4,2,3,6,8,7,1,5]=>[5,1,7,8,6,3,2,4]
[4,2,8,3,5,1,7,6]=>[6,7,1,5,3,8,2,4]
[4,2,8,3,5,7,6,1]=>[1,6,7,5,3,8,2,4]
[3,8,2,4,5,7,6,1]=>[1,6,7,5,4,2,8,3]
[3,8,2,5,1,4,7,6]=>[6,7,4,1,5,2,8,3]
[4,2,8,5,7,1,3,6]=>[6,3,1,7,5,8,2,4]
[3,8,1,5,2,4,7,6]=>[6,7,4,2,5,1,8,3]
[7,5,6,4,1,3,2,8]=>[8,2,3,1,4,6,5,7]
[7,8,6,4,1,3,2,5]=>[5,2,3,1,4,6,8,7]
[7,1,4,2,5,6,3,8]=>[8,3,6,5,2,4,1,7]
[7,3,2,1,4,6,5,8]=>[8,5,6,4,1,2,3,7]
[7,6,1,4,3,2,5,8]=>[8,5,2,3,4,1,6,7]
[7,4,1,3,5,6,2,8]=>[8,2,6,5,3,1,4,7]
[2,7,1,3,5,6,8,4]=>[4,8,6,5,3,1,7,2]
[3,6,2,1,5,8,7,4]=>[4,7,8,5,1,2,6,3]
[2,3,6,1,5,8,7,4]=>[4,7,8,5,1,6,3,2]
[3,4,7,1,5,6,8,2]=>[2,8,6,5,1,7,4,3]
[3,6,7,4,1,2,8,5]=>[5,8,2,1,4,7,6,3]
[4,3,2,7,1,6,8,5]=>[5,8,6,1,7,2,3,4]
[7,3,2,8,1,6,4,5]=>[5,4,6,1,8,2,3,7]
[7,4,8,1,5,6,3,2]=>[2,3,6,5,1,8,4,7]
[2,6,8,1,5,3,7,4]=>[4,7,3,5,1,8,6,2]
[6,8,2,1,5,3,7,4]=>[4,7,3,5,1,2,8,6]
[4,8,2,5,3,6,7,1]=>[1,7,6,3,5,2,8,4]
[4,5,8,2,3,6,7,1]=>[1,7,6,3,2,8,5,4]
[2,4,8,5,3,6,7,1]=>[1,7,6,3,5,8,4,2]
[5,3,2,6,4,8,7,1]=>[1,7,8,4,6,2,3,5]
[2,4,5,3,8,6,7,1]=>[1,7,6,8,3,5,4,2]
[4,3,5,2,8,6,7,1]=>[1,7,6,8,2,5,3,4]
[4,8,5,3,2,6,7,1]=>[1,7,6,2,3,5,8,4]
[3,5,4,2,8,6,7,1]=>[1,7,6,8,2,4,5,3]
[4,1,2,7,5,6,8,3]=>[3,8,6,5,7,2,1,4]
[5,6,7,4,2,8,3,1]=>[1,3,8,2,4,7,6,5]
[2,5,7,4,6,8,3,1]=>[1,3,8,6,4,7,5,2]
[7,5,2,4,3,8,6,1]=>[1,6,8,3,4,2,5,7]
[6,8,1,2,5,4,7,3]=>[3,7,4,5,2,1,8,6]
[6,4,1,8,5,2,7,3]=>[3,7,2,5,8,1,4,6]
[2,6,1,8,5,4,7,3]=>[3,7,4,5,8,1,6,2]
[7,1,2,8,5,6,4,3]=>[3,4,6,5,8,2,1,7]
[4,3,2,6,8,5,7,1]=>[1,7,5,8,6,2,3,4]
[3,7,6,4,8,5,2,1]=>[1,2,5,8,4,6,7,3]
[3,1,6,8,5,4,7,2]=>[2,7,4,5,8,6,1,3]
[2,3,5,8,4,6,7,1]=>[1,7,6,4,8,5,3,2]
[3,5,2,8,4,6,7,1]=>[1,7,6,4,8,2,5,3]
[3,4,5,8,2,6,7,1]=>[1,7,6,2,8,5,4,3]
[5,4,2,8,3,6,7,1]=>[1,7,6,3,8,2,4,5]
[5,3,4,8,2,6,7,1]=>[1,7,6,2,8,4,3,5]
[2,5,4,8,3,6,7,1]=>[1,7,6,3,8,4,5,2]
[6,3,2,5,8,4,7,1]=>[1,7,4,8,5,2,3,6]
[6,1,8,3,5,4,7,2]=>[2,7,4,5,3,8,1,6]
[5,4,8,3,2,6,7,1]=>[1,7,6,2,3,8,4,5]
[5,8,2,3,4,6,7,1]=>[1,7,6,4,3,2,8,5]
[7,2,5,6,4,1,8,3]=>[3,8,1,4,6,5,2,7]
[6,2,1,7,8,5,4,3]=>[3,4,5,8,7,1,2,6]
[7,2,5,1,4,6,8,3]=>[3,8,6,4,1,5,2,7]
[8,2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2,8]
[8,2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2,8]
[8,2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2,8]
[7,4,6,8,3,2,5,1]=>[1,5,2,3,8,6,4,7]
[7,4,6,8,3,2,1,5]=>[5,1,2,3,8,6,4,7]
[1,5,8,6,3,7,2,4]=>[4,2,7,3,6,8,5,1]
[6,1,8,7,3,5,2,4]=>[4,2,5,3,7,8,1,6]
[6,1,2,7,3,5,4,8]=>[8,4,5,3,7,2,1,6]
[3,4,5,2,7,1,6,8]=>[8,6,1,7,2,5,4,3]
[1,4,6,7,3,2,5,8]=>[8,5,2,3,7,6,4,1]
[3,1,7,8,2,4,6,5]=>[5,6,4,2,8,7,1,3]
[1,4,6,8,3,2,7,5]=>[5,7,2,3,8,6,4,1]
[3,4,5,2,7,1,8,6]=>[6,8,1,7,2,5,4,3]
[3,1,7,6,8,4,2,5]=>[5,2,4,8,6,7,1,3]
[7,5,6,1,2,3,8,4]=>[4,8,3,2,1,6,5,7]
[1,5,7,6,3,2,8,4]=>[4,8,2,3,6,7,5,1]
[8,4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4,8]
[8,4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4,8]
[3,8,7,6,2,4,5,1]=>[1,5,4,2,6,7,8,3]
[3,7,5,2,1,6,8,4]=>[4,8,6,1,2,5,7,3]
[3,7,2,4,1,6,8,5]=>[5,8,6,1,4,2,7,3]
[3,8,2,4,7,6,1,5]=>[5,1,6,7,4,2,8,3]
[8,4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4,8]
[8,4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4,8]
[8,5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5,8]
[7,5,2,1,4,3,8,6]=>[6,8,3,4,1,2,5,7]
[3,4,1,7,5,2,8,6]=>[6,8,2,5,7,1,4,3]
[3,1,7,8,5,4,2,6]=>[6,2,4,5,8,7,1,3]
[3,4,5,2,8,6,1,7]=>[7,1,6,8,2,5,4,3]
[3,4,5,2,8,1,6,7]=>[7,6,1,8,2,5,4,3]
[3,4,5,2,8,6,7,1]=>[1,7,6,8,2,5,4,3]
[3,4,5,2,6,8,1,7]=>[7,1,8,6,2,5,4,3]
[3,4,5,2,1,8,6,7]=>[7,6,8,1,2,5,4,3]
[7,6,4,8,3,1,2,5]=>[5,2,1,3,8,4,6,7]
[7,4,8,5,6,1,2,3]=>[3,2,1,6,5,8,4,7]
[6,2,8,5,1,3,4,7]=>[7,4,3,1,5,8,2,6]
[3,2,7,8,6,1,4,5]=>[5,4,1,6,8,7,2,3]
[6,8,2,5,1,3,7,4]=>[4,7,3,1,5,2,8,6]
[6,7,4,2,1,5,3,8]=>[8,3,5,1,2,4,7,6]
[5,7,4,1,3,6,2,8]=>[8,2,6,3,1,4,7,5]
[4,2,7,5,1,8,3,6]=>[6,3,8,1,5,7,2,4]
[4,1,6,5,3,8,2,7]=>[7,2,8,3,5,6,1,4]
[1,5,4,6,3,8,2,7]=>[7,2,8,3,6,4,5,1]
[1,8,6,4,7,3,2,5]=>[5,2,3,7,4,6,8,1]
[4,7,1,8,6,3,5,2]=>[2,5,3,6,8,1,7,4]
[5,4,8,1,7,3,6,2]=>[2,6,3,7,1,8,4,5]
[4,3,8,6,2,1,7,5]=>[5,7,1,2,6,8,3,4]
[8,3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3,8]
[7,8,3,2,4,6,5,1]=>[1,5,6,4,2,3,8,7]
[7,2,8,5,3,1,6,4]=>[4,6,1,3,5,8,2,7]
[2,5,4,8,7,3,6,1]=>[1,6,3,7,8,4,5,2]
[6,4,2,8,7,3,1,5]=>[5,1,3,7,8,2,4,6]
[3,6,8,1,7,4,2,5]=>[5,2,4,7,1,8,6,3]
[7,8,6,3,1,4,5,2]=>[2,5,4,1,3,6,8,7]
[3,8,6,1,7,5,2,4]=>[4,2,5,7,1,6,8,3]
[2,7,5,4,8,3,1,6]=>[6,1,3,8,4,5,7,2]
[6,8,7,5,2,1,3,4]=>[4,3,1,2,5,7,8,6]
[7,6,2,8,5,1,3,4]=>[4,3,1,5,8,2,6,7]
[1,5,7,6,2,8,4,3]=>[3,4,8,2,6,7,5,1]
[1,6,5,2,7,8,4,3]=>[3,4,8,7,2,5,6,1]
[4,7,8,5,6,2,3,1]=>[1,3,2,6,5,8,7,4]
[2,7,8,5,6,1,4,3]=>[3,4,1,6,5,8,7,2]
[6,7,8,4,2,1,5,3]=>[3,5,1,2,4,8,7,6]
[4,7,8,1,2,5,6,3]=>[3,6,5,2,1,8,7,4]
[8,6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6,8]
[6,1,4,7,2,5,8,3]=>[3,8,5,2,7,4,1,6]
[6,7,8,3,5,4,2,1]=>[1,2,4,5,3,8,7,6]
[2,7,8,3,6,5,4,1]=>[1,4,5,6,3,8,7,2]
[6,7,8,2,1,5,3,4]=>[4,3,5,1,2,8,7,6]
[8,6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6,8]
[3,6,1,2,5,7,4,8]=>[8,4,7,5,2,1,6,3]
[5,6,3,2,7,4,1,8]=>[8,1,4,7,2,3,6,5]
[2,6,4,3,7,5,8,1]=>[1,8,5,7,3,4,6,2]
[8,2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2,8]
[5,2,3,7,8,4,1,6]=>[6,1,4,8,7,3,2,5]
[7,2,3,6,1,8,4,5]=>[5,4,8,1,6,3,2,7]
[5,2,7,3,6,8,4,1]=>[1,4,8,6,3,7,2,5]
[2,5,6,7,3,8,4,1]=>[1,4,8,3,7,6,5,2]
[7,5,6,1,2,8,3,4]=>[4,3,8,2,1,6,5,7]
[4,1,5,8,6,2,7,3]=>[3,7,2,6,8,5,1,4]
[3,4,6,5,7,1,2,8]=>[8,2,1,7,5,6,4,3]
[2,4,7,5,6,3,1,8]=>[8,1,3,6,5,7,4,2]
[7,5,1,6,3,4,2,8]=>[8,2,4,3,6,1,5,7]
[8,5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5,8]
[8,5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5,8]
[2,6,7,5,8,1,4,3]=>[3,4,1,8,5,7,6,2]
[2,6,7,5,8,3,4,1]=>[1,4,3,8,5,7,6,2]
[2,5,8,7,6,3,4,1]=>[1,4,3,6,7,8,5,2]
[4,5,8,7,6,2,3,1]=>[1,3,2,6,7,8,5,4]
[7,4,8,2,1,5,6,3]=>[3,6,5,1,2,8,4,7]
[7,3,2,4,1,6,5,8]=>[8,5,6,1,4,2,3,7]
[8,3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3,8]
[5,4,2,7,1,6,3,8]=>[8,3,6,1,7,2,4,5]
[2,3,6,7,8,5,1,4]=>[4,1,5,8,7,6,3,2]
[8,3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3,8]
[2,4,7,8,6,3,5,1]=>[1,5,3,6,8,7,4,2]
[8,2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2,8]
[5,7,4,1,6,8,2,3]=>[3,2,8,6,1,4,7,5]
[1,4,6,8,7,3,2,5]=>[5,2,3,7,8,6,4,1]
[1,5,8,3,6,2,4,7]=>[7,4,2,6,3,8,5,1]
[6,5,1,2,8,3,4,7]=>[7,4,3,8,2,1,5,6]
[5,6,8,1,3,7,2,4]=>[4,2,7,3,1,8,6,5]
[6,4,2,8,3,7,1,5]=>[5,1,7,3,8,2,4,6]
[3,7,4,8,6,1,2,5]=>[5,2,1,6,8,4,7,3]
[7,8,2,5,6,3,1,4]=>[4,1,3,6,5,2,8,7]
[6,1,8,5,3,2,4,7]=>[7,4,2,3,5,8,1,6]
[1,6,8,5,3,2,4,7]=>[7,4,2,3,5,8,6,1]
[5,1,2,8,3,7,4,6]=>[6,4,7,3,8,2,1,5]
[8,5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5,8]
[5,8,1,6,7,4,2,3]=>[3,2,4,7,6,1,8,5]
[4,6,7,2,3,1,8,5]=>[5,8,1,3,2,7,6,4]
[3,6,4,2,8,1,5,7]=>[7,5,1,8,2,4,6,3]
[7,2,6,5,1,3,8,4]=>[4,8,3,1,5,6,2,7]
[5,2,8,3,1,7,4,6]=>[6,4,7,1,3,8,2,5]
[5,2,1,8,3,7,4,6]=>[6,4,7,3,8,1,2,5]
[1,2,8,4,6,7,3,5]=>[5,3,7,6,4,8,2,1]
[7,2,8,4,6,1,3,5]=>[5,3,1,6,4,8,2,7]
[6,2,7,4,3,8,1,5]=>[5,1,8,3,4,7,2,6]
[8,2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2,8]
[7,5,2,8,3,1,4,6]=>[6,4,1,3,8,2,5,7]
[1,7,8,4,6,2,3,5]=>[5,3,2,6,4,8,7,1]
[7,1,8,4,6,2,3,5]=>[5,3,2,6,4,8,1,7]
[1,8,6,5,4,7,2,3]=>[3,2,7,4,5,6,8,1]
[5,8,6,1,4,7,2,3]=>[3,2,7,4,1,6,8,5]
[8,1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1,8]
[4,1,6,8,7,3,2,5]=>[5,2,3,7,8,6,1,4]
[5,1,4,6,7,3,8,2]=>[2,8,3,7,6,4,1,5]
[4,8,6,1,5,7,2,3]=>[3,2,7,5,1,6,8,4]
[4,1,6,2,5,7,8,3]=>[3,8,7,5,2,6,1,4]
[1,5,3,7,2,4,8,6]=>[6,8,4,2,7,3,5,1]
[5,1,3,7,2,4,8,6]=>[6,8,4,2,7,3,1,5]
[3,4,8,2,5,7,1,6]=>[6,1,7,5,2,8,4,3]
[6,7,3,4,1,2,8,5]=>[5,8,2,1,4,3,7,6]
[7,1,3,4,6,2,8,5]=>[5,8,2,6,4,3,1,7]
[1,7,3,4,6,2,8,5]=>[5,8,2,6,4,3,7,1]
[4,7,2,8,5,3,1,6]=>[6,1,3,5,8,2,7,4]
[2,8,5,1,3,4,7,6]=>[6,7,4,3,1,5,8,2]
[8,1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1,8]
[8,7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7,8]
[5,7,1,3,6,8,2,4]=>[4,2,8,6,3,1,7,5]
[6,5,2,8,4,7,1,3]=>[3,1,7,4,8,2,5,6]
[1,4,7,5,8,6,3,2]=>[2,3,6,8,5,7,4,1]
[8,5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5,8]
[6,1,8,3,4,7,2,5]=>[5,2,7,4,3,8,1,6]
[1,7,8,3,4,6,2,5]=>[5,2,6,4,3,8,7,1]
[1,8,6,3,5,2,7,4]=>[4,7,2,5,3,6,8,1]
[7,8,1,3,5,4,2,6]=>[6,2,4,5,3,1,8,7]
[4,7,1,6,8,3,5,2]=>[2,5,3,8,6,1,7,4]
[3,5,8,2,6,4,1,7]=>[7,1,4,6,2,8,5,3]
[3,6,5,2,8,4,1,7]=>[7,1,4,8,2,5,6,3]
[4,2,5,8,6,3,7,1]=>[1,7,3,6,8,5,2,4]
[7,2,8,3,5,4,1,6]=>[6,1,4,5,3,8,2,7]
[8,2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2,8]
[4,2,1,5,3,8,7,6]=>[6,7,8,3,5,1,2,4]
[6,8,2,4,7,3,1,5]=>[5,1,3,7,4,2,8,6]
[1,8,2,4,3,5,7,6]=>[6,7,5,3,4,2,8,1]
[8,7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7,8]
[7,1,8,4,2,5,3,6]=>[6,3,5,2,4,8,1,7]
[1,4,8,7,5,2,6,3]=>[3,6,2,5,7,8,4,1]
[1,4,7,8,5,3,6,2]=>[2,6,3,5,8,7,4,1]
[4,1,8,6,5,7,3,2]=>[2,3,7,5,6,8,1,4]
[5,7,6,4,1,2,3,8]=>[8,3,2,1,4,6,7,5]
[1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]
[5,7,3,6,8,4,2,1]=>[1,2,4,8,6,3,7,5]
[7,4,6,2,5,8,1,3]=>[3,1,8,5,2,6,4,7]
[8,7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7,8]
[6,4,1,2,5,3,8,7]=>[7,8,3,5,2,1,4,6]
[6,2,3,4,7,1,5,8]=>[8,5,1,7,4,3,2,6]
[5,8,7,4,2,1,3,6]=>[6,3,1,2,4,7,8,5]
[5,2,1,3,8,6,4,7]=>[7,4,6,8,3,1,2,5]
[3,1,5,2,7,8,6,4]=>[4,6,8,7,2,5,1,3]
[6,3,2,5,1,8,7,4]=>[4,7,8,1,5,2,3,6]
[6,2,1,3,8,7,4,5]=>[5,4,7,8,3,1,2,6]
[1,5,8,7,3,4,2,6]=>[6,2,4,3,7,8,5,1]
[1,8,7,3,2,5,4,6]=>[6,4,5,2,3,7,8,1]
[1,2,5,4,8,7,3,6]=>[6,3,7,8,4,5,2,1]
[1,2,4,8,6,3,5,7]=>[7,5,3,6,8,4,2,1]
[1,5,2,4,7,3,8,6]=>[6,8,3,7,4,2,5,1]
[2,7,4,1,8,6,3,5]=>[5,3,6,8,1,4,7,2]
[8,6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6,8]
[8,5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5,8]
[1,7,6,8,5,3,2,4]=>[4,2,3,5,8,6,7,1]
[1,2,7,6,8,4,3,5]=>[5,3,4,8,6,7,2,1]
[1,6,3,2,5,7,8,4]=>[4,8,7,5,2,3,6,1]
[1,7,3,4,2,6,8,5]=>[5,8,6,2,4,3,7,1]
[7,4,6,8,5,2,1,3]=>[3,1,2,5,8,6,4,7]
[1,6,3,5,8,4,2,7]=>[7,2,4,8,5,3,6,1]
[1,5,6,3,2,8,4,7]=>[7,4,8,2,3,6,5,1]
[1,2,5,8,4,6,3,7]=>[7,3,6,4,8,5,2,1]
[1,5,3,2,7,8,4,6]=>[6,4,8,7,2,3,5,1]
[3,1,8,5,2,6,4,7]=>[7,4,6,2,5,8,1,3]
[5,2,1,3,7,4,8,6]=>[6,8,4,7,3,1,2,5]
[4,1,8,6,2,3,7,5]=>[5,7,3,2,6,8,1,4]
[4,8,6,3,2,7,5,1]=>[1,5,7,2,3,6,8,4]
[7,5,8,6,2,3,4,1]=>[1,4,3,2,6,8,5,7]
[1,7,6,4,3,8,5,2]=>[2,5,8,3,4,6,7,1]
[1,8,5,7,6,3,2,4]=>[4,2,3,6,7,5,8,1]
[1,4,7,3,6,8,5,2]=>[2,5,8,6,3,7,4,1]
[1,6,3,5,7,8,4,2]=>[2,4,8,7,5,3,6,1]
[1,5,6,3,2,7,8,4]=>[4,8,7,2,3,6,5,1]
[1,2,7,6,8,4,5,3]=>[3,5,4,8,6,7,2,1]
[1,8,4,7,5,3,2,6]=>[6,2,3,5,7,4,8,1]
[6,8,5,2,1,7,4,3]=>[3,4,7,1,2,5,8,6]
[2,8,5,6,3,1,7,4]=>[4,7,1,3,6,5,8,2]
[1,2,6,8,4,3,7,5]=>[5,7,3,4,8,6,2,1]
[5,3,7,2,6,4,1,8]=>[8,1,4,6,2,7,3,5]
[5,3,8,2,6,1,7,4]=>[4,7,1,6,2,8,3,5]
[7,5,2,8,6,1,3,4]=>[4,3,1,6,8,2,5,7]
[7,6,2,5,3,4,1,8]=>[8,1,4,3,5,2,6,7]
[7,6,2,4,5,3,1,8]=>[8,1,3,5,4,2,6,7]
[6,4,7,2,3,5,1,8]=>[8,1,5,3,2,7,4,6]
[7,6,2,4,3,5,1,8]=>[8,1,5,3,4,2,6,7]
[7,6,2,3,5,4,1,8]=>[8,1,4,5,3,2,6,7]
[8,4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4,8]
[8,4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4,8]
[4,6,3,2,8,1,7,5]=>[5,7,1,8,2,3,6,4]
[8,7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7,8]
[7,8,4,3,1,5,6,2]=>[2,6,5,1,3,4,8,7]
[8,5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5,8]
[8,7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7,8]
[8,7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7,8]
[8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8]
[8,6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6,8]
[5,3,7,2,8,1,6,4]=>[4,6,1,8,2,7,3,5]
[8,3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3,8]
[8,6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6,8]
[7,8,4,3,1,5,2,6]=>[6,2,5,1,3,4,8,7]
[8,6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6,8]
[8,7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7,8]
[8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8]
[4,7,5,8,6,1,3,2]=>[2,3,1,6,8,5,7,4]
[6,5,7,3,8,4,1,2]=>[2,1,4,8,3,7,5,6]
[8,7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7,8]
[8,6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6,8]
[7,5,6,1,3,4,2,8]=>[8,2,4,3,1,6,5,7]
[5,7,8,1,3,4,2,6]=>[6,2,4,3,1,8,7,5]
[7,8,5,1,3,4,2,6]=>[6,2,4,3,1,5,8,7]
[5,7,8,3,4,6,1,2]=>[2,1,6,4,3,8,7,5]
[7,5,1,3,4,2,6,8]=>[8,6,2,4,3,1,5,7]
[5,7,1,3,4,2,8,6]=>[6,8,2,4,3,1,7,5]
[7,3,5,6,4,8,1,2]=>[2,1,8,4,6,5,3,7]
[1,7,3,8,2,5,6,4]=>[4,6,5,2,8,3,7,1]
[1,5,3,7,8,4,6,2]=>[2,6,4,8,7,3,5,1]
[1,5,7,3,8,2,6,4]=>[4,6,2,8,3,7,5,1]
[7,1,5,3,6,2,4,8]=>[8,4,2,6,3,5,1,7]
[1,7,3,5,8,4,2,6]=>[6,2,4,8,5,3,7,1]
[1,3,7,5,8,6,2,4]=>[4,2,6,8,5,7,3,1]
[1,7,8,5,3,6,2,4]=>[4,2,6,3,5,8,7,1]
[1,7,5,8,3,4,2,6]=>[6,2,4,3,8,5,7,1]
[7,1,5,6,3,4,2,8]=>[8,2,4,3,6,5,1,7]
[7,3,5,6,4,1,2,8]=>[8,2,1,4,6,5,3,7]
[3,7,5,8,4,1,2,6]=>[6,2,1,4,8,5,7,3]
[7,5,6,8,1,3,4,2]=>[2,4,3,1,8,6,5,7]
[5,3,4,7,8,1,2,6]=>[6,2,1,8,7,4,3,5]
[5,3,7,6,8,1,2,4]=>[4,2,1,8,6,7,3,5]
[3,7,1,2,5,8,4,6]=>[6,4,8,5,2,1,7,3]
[3,1,2,7,5,8,4,6]=>[6,4,8,5,7,2,1,3]
[3,1,2,5,7,8,6,4]=>[4,6,8,7,5,2,1,3]
[7,3,1,5,4,6,2,8]=>[8,2,6,4,5,1,3,7]
[7,3,5,1,2,6,4,8]=>[8,4,6,2,1,5,3,7]
[3,7,1,2,8,5,6,4]=>[4,6,5,8,2,1,7,3]
[5,3,1,7,4,6,8,2]=>[2,8,6,4,7,1,3,5]
[5,3,7,1,2,6,8,4]=>[4,8,6,2,1,7,3,5]
[2,5,7,4,6,3,1,8]=>[8,1,3,6,4,7,5,2]
[7,4,8,3,5,6,1,2]=>[2,1,6,5,3,8,4,7]
[2,4,7,3,5,6,1,8]=>[8,1,6,5,3,7,4,2]
[5,7,6,4,2,3,1,8]=>[8,1,3,2,4,6,7,5]
[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]
[7,5,8,4,6,2,1,3]=>[3,1,2,6,4,8,5,7]
[5,8,2,4,6,1,3,7]=>[7,3,1,6,4,2,8,5]
[6,1,4,8,5,2,7,3]=>[3,7,2,5,8,4,1,6]
[5,8,1,2,3,6,7,4]=>[4,7,6,3,2,1,8,5]
[5,6,8,4,7,2,1,3]=>[3,1,2,7,4,8,6,5]
[4,5,1,8,3,6,7,2]=>[2,7,6,3,8,1,5,4]
[3,4,5,8,1,6,7,2]=>[2,7,6,1,8,5,4,3]
[4,5,1,8,2,6,7,3]=>[3,7,6,2,8,1,5,4]
[5,8,1,2,4,6,7,3]=>[3,7,6,4,2,1,8,5]
[6,8,7,4,2,1,5,3]=>[3,5,1,2,4,7,8,6]
[4,3,2,7,8,6,1,5]=>[5,1,6,8,7,2,3,4]
[6,8,7,4,3,1,2,5]=>[5,2,1,3,4,7,8,6]
[5,6,8,4,7,3,1,2]=>[2,1,3,7,4,8,6,5]
[7,3,5,4,2,8,1,6]=>[6,1,8,2,4,5,3,7]
[7,5,2,4,3,8,1,6]=>[6,1,8,3,4,2,5,7]
[2,8,6,4,3,1,5,7]=>[7,5,1,3,4,6,8,2]
[8,1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1,8]
[3,1,6,8,5,2,7,4]=>[4,7,2,5,8,6,1,3]
[2,3,8,1,5,6,4,7]=>[7,4,6,5,1,8,3,2]
[4,8,1,3,2,6,7,5]=>[5,7,6,2,3,1,8,4]
[5,4,8,1,2,6,7,3]=>[3,7,6,2,1,8,4,5]
[4,8,1,2,3,6,7,5]=>[5,7,6,3,2,1,8,4]
[4,1,5,8,2,6,7,3]=>[3,7,6,2,8,5,1,4]
[5,1,8,2,4,6,7,3]=>[3,7,6,4,2,8,1,5]
[3,5,1,8,2,6,7,4]=>[4,7,6,2,8,1,5,3]
[2,6,1,8,5,3,7,4]=>[4,7,3,5,8,1,6,2]
[3,8,1,2,4,6,7,5]=>[5,7,6,4,2,1,8,3]
[4,1,8,2,3,6,7,5]=>[5,7,6,3,2,8,1,4]
[5,2,3,8,1,7,4,6]=>[6,4,7,1,8,3,2,5]
[2,3,5,7,1,6,4,8]=>[8,4,6,1,7,5,3,2]
[1,5,3,8,2,4,6,7]=>[7,6,4,2,8,3,5,1]
[8,6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6,8]
[8,6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6,8]
[8,6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6,8]
[2,7,1,8,6,3,5,4]=>[4,5,3,6,8,1,7,2]
[5,7,6,1,3,2,8,4]=>[4,8,2,3,1,6,7,5]
[5,7,3,2,6,1,4,8]=>[8,4,1,6,2,3,7,5]
[8,1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1,8]
[2,7,1,6,4,8,5,3]=>[3,5,8,4,6,1,7,2]
[8,6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6,8]
[3,5,4,6,1,7,8,2]=>[2,8,7,1,6,4,5,3]
[4,6,5,1,8,3,7,2]=>[2,7,3,8,1,5,6,4]
[8,1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1,8]
[2,7,1,5,6,4,3,8]=>[8,3,4,6,5,1,7,2]
[4,7,5,1,8,6,2,3]=>[3,2,6,8,1,5,7,4]
[8,4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4,8]
[7,4,5,2,8,3,1,6]=>[6,1,3,8,2,5,4,7]
[8,4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4,8]
[8,6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6,8]
[5,4,7,2,8,6,1,3]=>[3,1,6,8,2,7,4,5]
[8,5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5,8]
[3,5,6,4,1,7,2,8]=>[8,2,7,1,4,6,5,3]
[2,5,6,1,7,4,3,8]=>[8,3,4,7,1,6,5,2]
[2,7,1,8,6,5,4,3]=>[3,4,5,6,8,1,7,2]
[3,7,6,1,8,5,4,2]=>[2,4,5,8,1,6,7,3]
[6,2,8,3,1,4,5,7]=>[7,5,4,1,3,8,2,6]
[2,7,8,3,1,4,5,6]=>[6,5,4,1,3,8,7,2]
[1,7,8,5,3,2,6,4]=>[4,6,2,3,5,8,7,1]
[1,5,3,2,8,6,7,4]=>[4,7,6,8,2,3,5,1]
[1,8,5,3,2,6,7,4]=>[4,7,6,2,3,5,8,1]
[1,7,8,5,6,3,2,4]=>[4,2,3,6,5,8,7,1]
[1,8,5,6,3,2,7,4]=>[4,7,2,3,6,5,8,1]
[1,5,8,6,7,3,2,4]=>[4,2,3,7,6,8,5,1]
[1,5,6,7,3,2,8,4]=>[4,8,2,3,7,6,5,1]
[1,7,5,2,3,4,8,6]=>[6,8,4,3,2,5,7,1]
[1,7,5,2,4,8,6,3]=>[3,6,8,4,2,5,7,1]
[1,7,8,5,2,4,6,3]=>[3,6,4,2,5,8,7,1]
[1,8,5,2,4,6,7,3]=>[3,7,6,4,2,5,8,1]
[1,6,7,8,3,2,4,5]=>[5,4,2,3,8,7,6,1]
[1,4,8,6,2,3,5,7]=>[7,5,3,2,6,8,4,1]
[1,7,8,3,2,4,5,6]=>[6,5,4,2,3,8,7,1]
[1,4,5,8,6,7,2,3]=>[3,2,7,6,8,5,4,1]
[1,8,4,5,6,7,2,3]=>[3,2,7,6,5,4,8,1]
[1,2,8,6,7,4,3,5]=>[5,3,4,7,6,8,2,1]
[1,2,8,6,3,4,5,7]=>[7,5,4,3,6,8,2,1]
[1,2,8,6,3,5,7,4]=>[4,7,5,3,6,8,2,1]
[1,2,7,4,3,8,5,6]=>[6,5,8,3,4,7,2,1]
[1,2,7,8,4,3,5,6]=>[6,5,3,4,8,7,2,1]
[1,8,6,7,4,2,3,5]=>[5,3,2,4,7,6,8,1]
[1,6,7,8,4,2,3,5]=>[5,3,2,4,8,7,6,1]
[1,6,7,3,5,2,8,4]=>[4,8,2,5,3,7,6,1]
[1,6,7,8,3,4,2,5]=>[5,2,4,3,8,7,6,1]
[1,7,8,5,6,2,3,4]=>[4,3,2,6,5,8,7,1]
[1,8,6,2,3,5,7,4]=>[4,7,5,3,2,6,8,1]
[1,7,4,2,3,8,5,6]=>[6,5,8,3,2,4,7,1]
[1,7,8,4,2,3,5,6]=>[6,5,3,2,4,8,7,1]
[1,7,3,5,6,2,8,4]=>[4,8,2,6,5,3,7,1]
[1,7,8,3,4,2,5,6]=>[6,5,2,4,3,8,7,1]
[1,5,8,6,7,2,3,4]=>[4,3,2,7,6,8,5,1]
[1,2,3,7,8,5,4,6]=>[6,4,5,8,7,3,2,1]
[1,2,7,4,6,3,8,5]=>[5,8,3,6,4,7,2,1]
[1,2,8,6,7,3,4,5]=>[5,4,3,7,6,8,2,1]
[1,7,4,5,2,3,8,6]=>[6,8,3,2,5,4,7,1]
[1,7,8,4,5,2,3,6]=>[6,3,2,5,4,8,7,1]
[1,7,8,3,4,5,2,6]=>[6,2,5,4,3,8,7,1]
[1,2,8,4,5,6,3,7]=>[7,3,6,5,4,8,2,1]
[1,8,4,5,6,2,3,7]=>[7,3,2,6,5,4,8,1]
[8,2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2,8]
[5,8,2,7,3,4,1,6]=>[6,1,4,3,7,2,8,5]
[6,8,7,2,3,4,1,5]=>[5,1,4,3,2,7,8,6]
[3,8,7,5,2,6,1,4]=>[4,1,6,2,5,7,8,3]
[8,2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2,8]
[8,2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2,8]
[3,4,2,7,8,5,1,6]=>[6,1,5,8,7,2,4,3]
[4,8,7,3,2,5,1,6]=>[6,1,5,2,3,7,8,4]
[5,8,4,2,6,7,3,1]=>[1,3,7,6,2,4,8,5]
[5,3,8,1,6,7,4,2]=>[2,4,7,6,1,8,3,5]
[5,2,8,1,6,4,7,3]=>[3,7,4,6,1,8,2,5]
[5,8,2,1,3,7,6,4]=>[4,6,7,3,1,2,8,5]
[8,3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3,8]
[1,4,3,2,8,5,7,6]=>[6,7,5,8,2,3,4,1]
[5,1,8,2,6,4,7,3]=>[3,7,4,6,2,8,1,5]
[5,1,8,3,6,7,4,2]=>[2,4,7,6,3,8,1,5]
[5,2,8,3,6,7,4,1]=>[1,4,7,6,3,8,2,5]
[3,1,8,4,6,2,7,5]=>[5,7,2,6,4,8,1,3]
[8,4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4,8]
[1,8,7,6,4,3,5,2]=>[2,5,3,4,6,7,8,1]
[3,1,4,7,5,8,2,6]=>[6,2,8,5,7,4,1,3]
[3,1,7,5,6,8,4,2]=>[2,4,8,6,5,7,1,3]
[6,1,8,7,5,3,4,2]=>[2,4,3,5,7,8,1,6]
[6,1,8,7,5,4,2,3]=>[3,2,4,5,7,8,1,6]
[8,3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3,8]
[6,8,7,3,2,4,1,5]=>[5,1,4,2,3,7,8,6]
[2,3,7,5,6,8,4,1]=>[1,4,8,6,5,7,3,2]
[3,2,4,7,5,8,1,6]=>[6,1,8,5,7,4,2,3]
[2,8,7,6,5,3,1,4]=>[4,1,3,5,6,7,8,2]
[2,8,7,6,4,5,1,3]=>[3,1,5,4,6,7,8,2]
[3,8,7,6,4,1,5,2]=>[2,5,1,4,6,7,8,3]
[3,8,7,6,4,2,5,1]=>[1,5,2,4,6,7,8,3]
[1,3,4,7,5,2,8,6]=>[6,8,2,5,7,4,3,1]
[2,3,7,4,6,8,1,5]=>[5,1,8,6,4,7,3,2]
[4,8,7,6,2,5,1,3]=>[3,1,5,2,6,7,8,4]
[4,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,4]
[3,5,2,4,7,6,8,1]=>[1,8,6,7,4,2,5,3]
[5,3,2,6,4,7,8,1]=>[1,8,7,4,6,2,3,5]
[5,3,2,6,7,4,8,1]=>[1,8,4,7,6,2,3,5]
[5,3,2,7,6,4,8,1]=>[1,8,4,6,7,2,3,5]
[7,3,5,2,8,4,6,1]=>[1,6,4,8,2,5,3,7]
[3,5,2,7,4,6,8,1]=>[1,8,6,4,7,2,5,3]
[3,2,5,7,4,6,8,1]=>[1,8,6,4,7,5,2,3]
[3,2,7,5,4,8,6,1]=>[1,6,8,4,5,7,2,3]
[3,7,5,2,4,8,6,1]=>[1,6,8,4,2,5,7,3]
[2,3,7,5,4,8,6,1]=>[1,6,8,4,5,7,3,2]
[8,3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3,8]
[8,4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4,8]
[3,4,7,6,8,2,5,1]=>[1,5,2,8,6,7,4,3]
[5,2,8,4,1,3,6,7]=>[7,6,3,1,4,8,2,5]
[3,8,5,2,1,4,6,7]=>[7,6,4,1,2,5,8,3]
[7,6,4,1,8,2,5,3]=>[3,5,2,8,1,4,6,7]
[7,5,4,2,1,6,3,8]=>[8,3,6,1,2,4,5,7]
[8,1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1,8]
[8,2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2,8]
[5,2,8,6,3,7,1,4]=>[4,1,7,3,6,8,2,5]
[7,6,8,1,2,5,4,3]=>[3,4,5,2,1,8,6,7]
[2,1,3,4,8,5,7,6]=>[6,7,5,8,4,3,1,2]
[5,7,1,2,6,8,3,4]=>[4,3,8,6,2,1,7,5]
[1,5,2,3,6,8,7,4]=>[4,7,8,6,3,2,5,1]
[3,7,4,5,2,8,1,6]=>[6,1,8,2,5,4,7,3]
[2,7,4,3,1,8,5,6]=>[6,5,8,1,3,4,7,2]
[3,5,7,4,1,8,2,6]=>[6,2,8,1,4,7,5,3]
[2,5,4,6,8,3,1,7]=>[7,1,3,8,6,4,5,2]
[8,3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3,8]
[7,4,6,5,8,2,1,3]=>[3,1,2,8,5,6,4,7]
[8,6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6,8]
[1,6,2,5,8,7,4,3]=>[3,4,7,8,5,2,6,1]
[3,7,4,5,6,2,8,1]=>[1,8,2,6,5,4,7,3]
[7,3,1,8,5,4,6,2]=>[2,6,4,5,8,1,3,7]
[8,4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4,8]
[2,3,8,5,6,4,1,7]=>[7,1,4,6,5,8,3,2]
[2,7,4,8,6,1,3,5]=>[5,3,1,6,8,4,7,2]
[8,6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6,8]
[2,8,4,3,1,6,5,7]=>[7,5,6,1,3,4,8,2]
[6,4,8,2,3,1,5,7]=>[7,5,1,3,2,8,4,6]
[3,8,4,6,1,5,2,7]=>[7,2,5,1,6,4,8,3]
[4,5,1,8,2,6,3,7]=>[7,3,6,2,8,1,5,4]
[6,1,8,4,3,2,7,5]=>[5,7,2,3,4,8,1,6]
[8,1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1,8]
[8,6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6,8]
[2,8,5,7,6,3,1,4]=>[4,1,3,6,7,5,8,2]
[8,5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5,8]
[8,3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3,8]
[4,5,8,3,6,2,7,1]=>[1,7,2,6,3,8,5,4]
[7,2,1,6,5,3,8,4]=>[4,8,3,5,6,1,2,7]
[5,6,4,1,7,8,2,3]=>[3,2,8,7,1,4,6,5]
[5,1,6,4,8,7,3,2]=>[2,3,7,8,4,6,1,5]
[2,4,6,7,5,1,8,3]=>[3,8,1,5,7,6,4,2]
[7,6,4,1,5,3,2,8]=>[8,2,3,5,1,4,6,7]
[6,8,7,4,1,5,3,2]=>[2,3,5,1,4,7,8,6]
[6,8,7,3,5,4,2,1]=>[1,2,4,5,3,7,8,6]
[3,1,2,8,5,7,4,6]=>[6,4,7,5,8,2,1,3]
[7,3,1,2,5,8,4,6]=>[6,4,8,5,2,1,3,7]
[8,3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3,8]
[2,1,3,8,5,7,4,6]=>[6,4,7,5,8,3,1,2]
[7,3,1,2,8,4,5,6]=>[6,5,4,8,2,1,3,7]
[2,1,4,7,6,3,5,8]=>[8,5,3,6,7,4,1,2]
[7,2,4,5,3,8,1,6]=>[6,1,8,3,5,4,2,7]
[8,4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4,8]
[5,4,1,6,3,7,8,2]=>[2,8,7,3,6,1,4,5]
[4,5,1,3,6,7,8,2]=>[2,8,7,6,3,1,5,4]
[5,1,7,6,3,4,8,2]=>[2,8,4,3,6,7,1,5]
[6,1,7,5,4,8,2,3]=>[3,2,8,4,5,7,1,6]
[3,7,2,1,6,8,4,5]=>[5,4,8,6,1,2,7,3]
[1,5,8,2,4,7,6,3]=>[3,6,7,4,2,8,5,1]
[5,8,1,6,4,7,3,2]=>[2,3,7,4,6,1,8,5]
[3,8,6,5,7,2,4,1]=>[1,4,2,7,5,6,8,3]
[6,8,1,4,7,3,5,2]=>[2,5,3,7,4,1,8,6]
[1,6,8,2,7,4,5,3]=>[3,5,4,7,2,8,6,1]
[5,7,2,1,8,4,3,6]=>[6,3,4,8,1,2,7,5]
[5,7,1,6,8,3,2,4]=>[4,2,3,8,6,1,7,5]
[5,6,2,1,8,3,4,7]=>[7,4,3,8,1,2,6,5]
[6,4,1,7,3,8,2,5]=>[5,2,8,3,7,1,4,6]
[8,2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2,8]
[7,2,4,6,8,3,1,5]=>[5,1,3,8,6,4,2,7]
[6,2,4,7,8,1,3,5]=>[5,3,1,8,7,4,2,6]
[6,1,4,3,2,8,5,7]=>[7,5,8,2,3,4,1,6]
[2,7,4,8,6,1,5,3]=>[3,5,1,6,8,4,7,2]
[2,4,8,6,5,7,3,1]=>[1,3,7,5,6,8,4,2]
[3,7,8,6,4,2,5,1]=>[1,5,2,4,6,8,7,3]
[6,2,8,4,7,5,1,3]=>[3,1,5,7,4,8,2,6]
[4,5,7,3,6,8,1,2]=>[2,1,8,6,3,7,5,4]
[3,4,7,8,6,5,1,2]=>[2,1,5,6,8,7,4,3]
[1,4,7,2,6,8,5,3]=>[3,5,8,6,2,7,4,1]
[2,3,7,6,5,1,4,8]=>[8,4,1,5,6,7,3,2]
[3,2,7,6,4,1,5,8]=>[8,5,1,4,6,7,2,3]
[6,2,3,5,7,1,4,8]=>[8,4,1,7,5,3,2,6]
[7,8,1,2,5,6,4,3]=>[3,4,6,5,2,1,8,7]
[7,1,3,6,8,5,2,4]=>[4,2,5,8,6,3,1,7]
[4,2,8,5,1,6,3,7]=>[7,3,6,1,5,8,2,4]
[6,5,8,1,4,2,3,7]=>[7,3,2,4,1,8,5,6]
[3,8,2,4,5,1,6,7]=>[7,6,1,5,4,2,8,3]
[3,6,2,4,1,5,7,8]=>[8,7,5,1,4,2,6,3]
[2,3,8,4,1,6,5,7]=>[7,5,6,1,4,8,3,2]
[4,5,7,3,1,6,2,8]=>[8,2,6,1,3,7,5,4]
[2,3,1,4,8,5,7,6]=>[6,7,5,8,4,1,3,2]
[4,2,6,1,5,8,7,3]=>[3,7,8,5,1,6,2,4]
[7,5,1,8,4,3,6,2]=>[2,6,3,4,8,1,5,7]
[3,1,8,5,7,6,4,2]=>[2,4,6,7,5,8,1,3]
[5,1,8,7,4,6,3,2]=>[2,3,6,4,7,8,1,5]
[3,8,6,2,5,1,4,7]=>[7,4,1,5,2,6,8,3]
[6,8,7,2,5,1,4,3]=>[3,4,1,5,2,7,8,6]
[5,7,2,8,6,1,4,3]=>[3,4,1,6,8,2,7,5]
[6,4,8,7,5,1,3,2]=>[2,3,1,5,7,8,4,6]
[6,2,8,7,4,1,3,5]=>[5,3,1,4,7,8,2,6]
[6,2,5,8,7,1,4,3]=>[3,4,1,7,8,5,2,6]
[2,4,8,6,5,1,3,7]=>[7,3,1,5,6,8,4,2]
[2,4,8,7,5,1,3,6]=>[6,3,1,5,7,8,4,2]
[3,5,7,6,1,8,4,2]=>[2,4,8,1,6,7,5,3]
[3,5,7,6,2,8,4,1]=>[1,4,8,2,6,7,5,3]
[2,5,7,6,1,8,3,4]=>[4,3,8,1,6,7,5,2]
[5,1,4,7,3,8,6,2]=>[2,6,8,3,7,4,1,5]
[1,3,8,7,2,5,4,6]=>[6,4,5,2,7,8,3,1]
[1,5,6,2,8,7,4,3]=>[3,4,7,8,2,6,5,1]
[2,5,3,8,7,6,4,1]=>[1,4,6,7,8,3,5,2]
[1,5,3,2,8,7,6,4]=>[4,6,7,8,2,3,5,1]
[6,1,4,3,8,7,5,2]=>[2,5,7,8,3,4,1,6]
[6,2,4,1,8,7,5,3]=>[3,5,7,8,1,4,2,6]
[3,4,1,8,7,5,2,6]=>[6,2,5,7,8,1,4,3]
[4,5,2,8,7,6,3,1]=>[1,3,6,7,8,2,5,4]
[6,4,1,8,7,5,2,3]=>[3,2,5,7,8,1,4,6]
[6,3,1,8,7,4,2,5]=>[5,2,4,7,8,1,3,6]
[4,2,5,1,8,6,3,7]=>[7,3,6,8,1,5,2,4]
[3,6,2,8,1,7,4,5]=>[5,4,7,1,8,2,6,3]
[4,2,8,5,1,7,3,6]=>[6,3,7,1,5,8,2,4]
[5,3,6,2,8,7,4,1]=>[1,4,7,8,2,6,3,5]
[6,3,5,2,1,8,7,4]=>[4,7,8,1,2,5,3,6]
[6,2,5,1,4,8,7,3]=>[3,7,8,4,1,5,2,6]
[2,8,4,1,3,7,6,5]=>[5,6,7,3,1,4,8,2]
[4,8,7,1,3,6,5,2]=>[2,5,6,3,1,7,8,4]
[3,8,1,4,7,6,5,2]=>[2,5,6,7,4,1,8,3]
[4,2,7,3,8,6,5,1]=>[1,5,6,8,3,7,2,4]
[3,1,8,6,2,5,4,7]=>[7,4,5,2,6,8,1,3]
[2,7,1,8,3,6,5,4]=>[4,5,6,3,8,1,7,2]
[5,2,1,7,4,8,6,3]=>[3,6,8,4,7,1,2,5]
[5,1,2,8,6,4,3,7]=>[7,3,4,6,8,2,1,5]
[6,2,3,8,7,5,4,1]=>[1,4,5,7,8,3,2,6]
[5,2,3,8,7,6,4,1]=>[1,4,6,7,8,3,2,5]
[2,8,1,3,7,6,4,5]=>[5,4,6,7,3,1,8,2]
[4,1,3,5,8,7,6,2]=>[2,6,7,8,5,3,1,4]
[3,4,7,5,8,1,2,6]=>[6,2,1,8,5,7,4,3]
[2,7,8,3,4,1,5,6]=>[6,5,1,4,3,8,7,2]
[2,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,2]
[7,2,6,8,1,4,3,5]=>[5,3,4,1,8,6,2,7]
[5,3,6,2,8,4,7,1]=>[1,7,4,8,2,6,3,5]
[8,1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1,8]
[2,4,3,7,1,8,6,5]=>[5,6,8,1,7,3,4,2]
[2,6,5,7,3,8,4,1]=>[1,4,8,3,7,5,6,2]
[6,8,2,7,4,1,5,3]=>[3,5,1,4,7,2,8,6]
[6,1,7,8,5,3,2,4]=>[4,2,3,5,8,7,1,6]
[2,6,5,4,7,1,8,3]=>[3,8,1,7,4,5,6,2]
[5,8,3,4,6,1,7,2]=>[2,7,1,6,4,3,8,5]
[6,1,7,4,2,5,8,3]=>[3,8,5,2,4,7,1,6]
[6,8,7,1,5,4,2,3]=>[3,2,4,5,1,7,8,6]
[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]
[5,3,8,2,7,1,6,4]=>[4,6,1,7,2,8,3,5]
[8,2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2,8]
[5,3,4,8,2,7,1,6]=>[6,1,7,2,8,4,3,5]
[8,3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3,8]
[6,3,4,7,1,5,2,8]=>[8,2,5,1,7,4,3,6]
[6,7,1,5,3,4,8,2]=>[2,8,4,3,5,1,7,6]
[6,5,3,4,7,1,8,2]=>[2,8,1,7,4,3,5,6]
[5,3,4,7,1,6,8,2]=>[2,8,6,1,7,4,3,5]
[7,1,5,3,4,6,8,2]=>[2,8,6,4,3,5,1,7]
[8,2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2,8]
[8,3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3,8]
[7,1,5,2,6,3,4,8]=>[8,4,3,6,2,5,1,7]
[3,7,1,5,2,6,8,4]=>[4,8,6,2,5,1,7,3]
[8,3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3,8]
[7,1,6,8,3,4,5,2]=>[2,5,4,3,8,6,1,7]
[6,7,1,8,3,4,5,2]=>[2,5,4,3,8,1,7,6]
[8,7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7,8]
[6,3,4,8,7,1,5,2]=>[2,5,1,7,8,4,3,6]
[3,8,7,1,5,2,6,4]=>[4,6,2,5,1,7,8,3]
[3,4,8,7,1,5,2,6]=>[6,2,5,1,7,8,4,3]
[3,6,5,2,8,7,1,4]=>[4,1,7,8,2,5,6,3]
[3,6,7,1,8,4,5,2]=>[2,5,4,8,1,7,6,3]
[3,7,1,6,8,4,5,2]=>[2,5,4,8,6,1,7,3]
[3,8,4,6,7,1,5,2]=>[2,5,1,7,6,4,8,3]
[3,8,5,2,6,7,1,4]=>[4,1,7,6,2,5,8,3]
[3,7,1,4,8,5,2,6]=>[6,2,5,8,4,1,7,3]
[3,6,5,2,7,1,4,8]=>[8,4,1,7,2,5,6,3]
[3,7,1,4,6,5,2,8]=>[8,2,5,6,4,1,7,3]
[3,7,1,8,4,6,5,2]=>[2,5,6,4,8,1,7,3]
[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]
[3,6,4,7,1,5,2,8]=>[8,2,5,1,7,4,6,3]
[3,7,1,6,4,5,2,8]=>[8,2,5,4,6,1,7,3]
[3,8,4,5,2,7,1,6]=>[6,1,7,2,5,4,8,3]
[3,7,1,6,5,2,8,4]=>[4,8,2,5,6,1,7,3]
[7,1,6,5,2,8,3,4]=>[4,3,8,2,5,6,1,7]
[8,3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3,8]
[7,1,8,4,6,3,5,2]=>[2,5,3,6,4,8,1,7]
[3,4,8,5,2,7,1,6]=>[6,1,7,2,5,8,4,3]
[3,4,7,1,6,5,2,8]=>[8,2,5,6,1,7,4,3]
[3,4,6,7,1,5,2,8]=>[8,2,5,1,7,6,4,3]
[7,1,5,2,8,6,3,4]=>[4,3,6,8,2,5,1,7]
[8,6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6,8]
[3,7,1,6,4,8,5,2]=>[2,5,8,4,6,1,7,3]
[3,8,6,4,7,1,5,2]=>[2,5,1,7,4,6,8,3]
[3,7,1,4,8,6,5,2]=>[2,5,6,8,4,1,7,3]
[3,7,1,4,5,2,8,6]=>[6,8,2,5,4,1,7,3]
[3,6,7,1,4,5,2,8]=>[8,2,5,4,1,7,6,3]
[3,5,2,6,7,1,4,8]=>[8,4,1,7,6,2,5,3]
[3,5,2,8,6,7,1,4]=>[4,1,7,6,8,2,5,3]
[3,6,8,7,1,4,5,2]=>[2,5,4,1,7,8,6,3]
[3,5,2,6,8,7,1,4]=>[4,1,7,8,6,2,5,3]
[2,5,4,6,7,8,1,3]=>[3,1,8,7,6,4,5,2]
[2,3,7,6,5,8,1,4]=>[4,1,8,5,6,7,3,2]
[2,6,5,4,7,8,1,3]=>[3,1,8,7,4,5,6,2]
[3,5,7,6,8,2,1,4]=>[4,1,2,8,6,7,5,3]
[4,2,5,3,7,6,1,8]=>[8,1,6,7,3,5,2,4]
[6,2,4,3,7,5,1,8]=>[8,1,5,7,3,4,2,6]
[1,3,6,4,7,5,2,8]=>[8,2,5,7,4,6,3,1]
[8,2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2,8]
[7,2,5,3,6,4,1,8]=>[8,1,4,6,3,5,2,7]
[6,2,5,3,7,4,1,8]=>[8,1,4,7,3,5,2,6]
[4,2,6,3,7,5,1,8]=>[8,1,5,7,3,6,2,4]
[5,2,7,3,6,4,1,8]=>[8,1,4,6,3,7,2,5]
[7,3,6,2,5,4,1,8]=>[8,1,4,5,2,6,3,7]
[6,3,8,2,5,4,1,7]=>[7,1,4,5,2,8,3,6]
[7,3,1,4,6,5,2,8]=>[8,2,5,6,4,1,3,7]
[8,3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3,8]
[5,2,8,3,6,4,1,7]=>[7,1,4,6,3,8,2,5]
[3,2,8,4,6,5,1,7]=>[7,1,5,6,4,8,2,3]
[1,4,7,3,6,5,2,8]=>[8,2,5,6,3,7,4,1]
[8,2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2,8]
[8,2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2,8]
[1,4,8,3,7,5,2,6]=>[6,2,5,7,3,8,4,1]
[6,2,1,4,8,5,3,7]=>[7,3,5,8,4,1,2,6]
[5,2,1,4,8,6,3,7]=>[7,3,6,8,4,1,2,5]
[3,2,1,5,8,6,4,7]=>[7,4,6,8,5,1,2,3]
[4,2,8,3,7,5,1,6]=>[6,1,5,7,3,8,2,4]
[5,2,8,3,7,4,1,6]=>[6,1,4,7,3,8,2,5]
[8,3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3,8]
[7,3,1,4,8,5,2,6]=>[6,2,5,8,4,1,3,7]
[1,3,7,4,8,5,2,6]=>[6,2,5,8,4,7,3,1]
[8,2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2,8]
[7,2,6,3,8,4,1,5]=>[5,1,4,8,3,6,2,7]
[5,2,7,3,8,4,1,6]=>[6,1,4,8,3,7,2,5]
[3,2,7,4,8,5,1,6]=>[6,1,5,8,4,7,2,3]
[5,2,6,3,8,4,1,7]=>[7,1,4,8,3,6,2,5]
[6,2,5,3,8,4,1,7]=>[7,1,4,8,3,5,2,6]
[7,2,5,3,8,4,1,6]=>[6,1,4,8,3,5,2,7]
[8,2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2,8]
[1,3,6,4,8,5,2,7]=>[7,2,5,8,4,6,3,1]
[1,3,5,4,8,6,2,7]=>[7,2,6,8,4,5,3,1]
[8,2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2,8]
[7,2,4,3,8,5,1,6]=>[6,1,5,8,3,4,2,7]
[6,2,4,3,8,5,1,7]=>[7,1,5,8,3,4,2,6]
[5,2,4,3,8,6,1,7]=>[7,1,6,8,3,4,2,5]
[4,2,5,3,8,6,1,7]=>[7,1,6,8,3,5,2,4]
[4,2,5,3,1,7,6,8]=>[8,6,7,1,3,5,2,4]
[6,2,4,3,1,7,5,8]=>[8,5,7,1,3,4,2,6]
[7,2,4,3,1,6,5,8]=>[8,5,6,1,3,4,2,7]
[8,5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5,8]
[8,4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4,8]
[1,5,2,4,7,6,3,8]=>[8,3,6,7,4,2,5,1]
[7,2,5,3,1,6,4,8]=>[8,4,6,1,3,5,2,7]
[6,2,5,3,1,7,4,8]=>[8,4,7,1,3,5,2,6]
[4,2,6,3,1,7,5,8]=>[8,5,7,1,3,6,2,4]
[3,2,6,4,1,7,5,8]=>[8,5,7,1,4,6,2,3]
[3,2,7,4,1,6,5,8]=>[8,5,6,1,4,7,2,3]
[4,2,7,3,1,6,5,8]=>[8,5,6,1,3,7,2,4]
[5,2,7,3,1,6,4,8]=>[8,4,6,1,3,7,2,5]
[6,2,7,3,1,5,4,8]=>[8,4,5,1,3,7,2,6]
[7,2,6,3,1,5,4,8]=>[8,4,5,1,3,6,2,7]
[1,5,2,4,8,6,3,7]=>[7,3,6,8,4,2,5,1]
[8,4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4,8]
[6,2,1,5,3,7,4,8]=>[8,4,7,3,5,1,2,6]
[3,2,1,6,4,7,5,8]=>[8,5,7,4,6,1,2,3]
[3,2,8,5,1,6,4,7]=>[7,4,6,1,5,8,2,3]
[6,2,8,4,1,5,3,7]=>[7,3,5,1,4,8,2,6]
[8,3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3,8]
[7,1,3,2,5,6,4,8]=>[8,4,6,5,2,3,1,7]
[4,2,8,7,5,6,1,3]=>[3,1,6,5,7,8,2,4]
[2,8,1,7,4,5,6,3]=>[3,6,5,4,7,1,8,2]
[6,3,5,2,4,8,1,7]=>[7,1,8,4,2,5,3,6]
[1,5,2,8,7,4,3,6]=>[6,3,4,7,8,2,5,1]
[5,7,1,2,6,4,3,8]=>[8,3,4,6,2,1,7,5]
[1,8,2,5,7,4,3,6]=>[6,3,4,7,5,2,8,1]
[1,6,4,3,2,5,8,7]=>[7,8,5,2,3,4,6,1]
[2,5,6,7,1,4,3,8]=>[8,3,4,1,7,6,5,2]
[5,7,2,8,1,4,3,6]=>[6,3,4,1,8,2,7,5]
[5,8,2,7,1,4,3,6]=>[6,3,4,1,7,2,8,5]
[7,5,1,2,6,4,3,8]=>[8,3,4,6,2,1,5,7]
[5,2,1,6,8,4,3,7]=>[7,3,4,8,6,1,2,5]
[6,2,8,5,1,4,3,7]=>[7,3,4,1,5,8,2,6]
[7,8,1,6,3,2,4,5]=>[5,4,2,3,6,1,8,7]
[7,3,6,4,1,2,8,5]=>[5,8,2,1,4,6,3,7]
[2,3,7,8,4,1,5,6]=>[6,5,1,4,8,7,3,2]
[5,4,7,2,3,8,1,6]=>[6,1,8,3,2,7,4,5]
[4,8,3,1,5,2,7,6]=>[6,7,2,5,1,3,8,4]
[2,3,5,8,7,6,1,4]=>[4,1,6,7,8,5,3,2]
[7,3,5,1,4,6,2,8]=>[8,2,6,4,1,5,3,7]
[3,8,5,1,2,6,4,7]=>[7,4,6,2,1,5,8,3]
[5,2,1,8,6,4,3,7]=>[7,3,4,6,8,1,2,5]
[1,2,6,5,8,4,3,7]=>[7,3,4,8,5,6,2,1]
[5,1,7,2,6,4,3,8]=>[8,3,4,6,2,7,1,5]
[7,1,5,3,2,6,8,4]=>[4,8,6,2,3,5,1,7]
[3,1,5,7,8,6,2,4]=>[4,2,6,8,7,5,1,3]
[1,8,7,2,6,4,3,5]=>[5,3,4,6,2,7,8,1]
[6,2,3,5,8,7,4,1]=>[1,4,7,8,5,3,2,6]
[8,6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6,8]
[7,3,5,2,1,4,8,6]=>[6,8,4,1,2,5,3,7]
[2,6,3,8,7,4,5,1]=>[1,5,4,7,8,3,6,2]
[6,4,5,8,7,3,2,1]=>[1,2,3,7,8,5,4,6]
[1,7,3,6,8,5,2,4]=>[4,2,5,8,6,3,7,1]
[1,8,5,2,4,7,3,6]=>[6,3,7,4,2,5,8,1]
[2,5,1,7,4,8,6,3]=>[3,6,8,4,7,1,5,2]
[8,6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6,8]
[1,4,2,7,3,6,8,5]=>[5,8,6,3,7,2,4,1]
[3,2,1,7,8,5,4,6]=>[6,4,5,8,7,1,2,3]
[7,3,4,2,1,5,8,6]=>[6,8,5,1,2,4,3,7]
[8,6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6,8]
[1,4,3,8,6,5,2,7]=>[7,2,5,6,8,3,4,1]
[1,4,7,5,3,8,6,2]=>[2,6,8,3,5,7,4,1]
[8,6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6,8]
[6,8,5,2,1,3,7,4]=>[4,7,3,1,2,5,8,6]
[1,7,6,3,2,4,8,5]=>[5,8,4,2,3,6,7,1]
[2,7,8,6,4,1,5,3]=>[3,5,1,4,6,8,7,2]
[2,1,6,4,7,8,5,3]=>[3,5,8,7,4,6,1,2]
[1,6,3,2,4,7,8,5]=>[5,8,7,4,2,3,6,1]
[1,2,3,7,5,8,4,6]=>[6,4,8,5,7,3,2,1]
[1,8,5,3,2,4,7,6]=>[6,7,4,2,3,5,8,1]
[6,7,8,2,5,1,4,3]=>[3,4,1,5,2,8,7,6]
[7,4,8,6,2,3,5,1]=>[1,5,3,2,6,8,4,7]
[6,2,5,7,8,1,4,3]=>[3,4,1,8,7,5,2,6]
[2,4,5,8,6,1,3,7]=>[7,3,1,6,8,5,4,2]
[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]
[3,6,7,1,8,4,2,5]=>[5,2,4,8,1,7,6,3]
[2,3,7,5,1,6,4,8]=>[8,4,6,1,5,7,3,2]
[2,6,3,5,1,8,4,7]=>[7,4,8,1,5,3,6,2]
[7,2,4,6,1,8,5,3]=>[3,5,8,1,6,4,2,7]
[1,3,7,6,2,4,5,8]=>[8,5,4,2,6,7,3,1]
[1,6,7,2,8,3,5,4]=>[4,5,3,8,2,7,6,1]
[2,7,3,8,4,5,6,1]=>[1,6,5,4,8,3,7,2]
[1,4,2,7,5,3,6,8]=>[8,6,3,5,7,2,4,1]
[1,3,8,2,7,4,5,6]=>[6,5,4,7,2,8,3,1]
[7,1,4,3,8,5,6,2]=>[2,6,5,8,3,4,1,7]
[3,4,1,8,5,7,2,6]=>[6,2,7,5,8,1,4,3]
[3,4,1,5,8,6,2,7]=>[7,2,6,8,5,1,4,3]
[5,6,2,7,8,3,4,1]=>[1,4,3,8,7,2,6,5]
[7,4,1,8,5,6,2,3]=>[3,2,6,5,8,1,4,7]
[7,2,5,8,1,6,3,4]=>[4,3,6,1,8,5,2,7]
[6,4,8,1,5,7,2,3]=>[3,2,7,5,1,8,4,6]
[5,8,4,2,6,3,7,1]=>[1,7,3,6,2,4,8,5]
[6,2,5,1,4,7,8,3]=>[3,8,7,4,1,5,2,6]
[2,7,4,1,3,6,8,5]=>[5,8,6,3,1,4,7,2]
[5,7,1,2,6,4,8,3]=>[3,8,4,6,2,1,7,5]
[5,1,8,2,3,7,6,4]=>[4,6,7,3,2,8,1,5]
[3,1,8,5,2,4,7,6]=>[6,7,4,2,5,8,1,3]
[5,2,1,8,4,6,7,3]=>[3,7,6,4,8,1,2,5]
[6,2,1,4,7,5,8,3]=>[3,8,5,7,4,1,2,6]
[2,8,1,3,7,4,6,5]=>[5,6,4,7,3,1,8,2]
[6,2,3,8,4,5,7,1]=>[1,7,5,4,8,3,2,6]
[2,6,1,3,4,8,7,5]=>[5,7,8,4,3,1,6,2]
[1,2,6,3,5,7,8,4]=>[4,8,7,5,3,6,2,1]
[1,2,8,4,6,3,5,7]=>[7,5,3,6,4,8,2,1]
[2,6,1,5,4,7,3,8]=>[8,3,7,4,5,1,6,2]
[1,2,8,5,4,6,3,7]=>[7,3,6,4,5,8,2,1]
[1,3,6,8,4,5,7,2]=>[2,7,5,4,8,6,3,1]
[1,2,8,4,6,3,7,5]=>[5,7,3,6,4,8,2,1]
[4,6,3,5,7,8,1,2]=>[2,1,8,7,5,3,6,4]
[2,7,6,5,1,4,8,3]=>[3,8,4,1,5,6,7,2]
[2,7,4,8,1,3,6,5]=>[5,6,3,1,8,4,7,2]
[2,3,6,8,4,1,7,5]=>[5,7,1,4,8,6,3,2]
[1,2,6,8,4,7,5,3]=>[3,5,7,4,8,6,2,1]
[1,7,2,8,6,3,5,4]=>[4,5,3,6,8,2,7,1]
[2,3,8,5,4,7,1,6]=>[6,1,7,4,5,8,3,2]
[1,2,8,4,7,3,5,6]=>[6,5,3,7,4,8,2,1]
[2,6,1,4,8,3,7,5]=>[5,7,3,8,4,1,6,2]
[3,7,6,5,2,1,4,8]=>[8,4,1,2,5,6,7,3]
[2,5,6,1,4,8,7,3]=>[3,7,8,4,1,6,5,2]
[2,3,5,8,7,1,6,4]=>[4,6,1,7,8,5,3,2]
[8,4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4,8]
[5,2,4,8,7,3,1,6]=>[6,1,3,7,8,4,2,5]
[3,5,7,6,1,8,2,4]=>[4,2,8,1,6,7,5,3]
[8,3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3,8]
[6,5,7,3,1,2,8,4]=>[4,8,2,1,3,7,5,6]
[3,8,2,4,1,7,6,5]=>[5,6,7,1,4,2,8,3]
[3,5,8,2,6,7,1,4]=>[4,1,7,6,2,8,5,3]
[6,5,7,1,2,8,4,3]=>[3,4,8,2,1,7,5,6]
[3,2,4,6,7,8,1,5]=>[5,1,8,7,6,4,2,3]
[3,7,2,4,1,5,6,8]=>[8,6,5,1,4,2,7,3]
[3,2,4,6,7,1,5,8]=>[8,5,1,7,6,4,2,3]
[5,7,6,1,2,8,4,3]=>[3,4,8,2,1,6,7,5]
[6,5,1,2,7,4,3,8]=>[8,3,4,7,2,1,5,6]
[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]
[4,8,1,6,3,7,5,2]=>[2,5,7,3,6,1,8,4]
[2,4,7,3,5,1,8,6]=>[6,8,1,5,3,7,4,2]
[7,1,5,2,6,4,3,8]=>[8,3,4,6,2,5,1,7]
[8,3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3,8]
[5,6,1,3,8,7,4,2]=>[2,4,7,8,3,1,6,5]
[1,8,5,6,2,7,4,3]=>[3,4,7,2,6,5,8,1]
[8,3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3,8]
[8,3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3,8]
[3,7,2,4,6,1,5,8]=>[8,5,1,6,4,2,7,3]
[3,2,4,7,1,5,6,8]=>[8,6,5,1,7,4,2,3]
[3,8,2,4,1,5,6,7]=>[7,6,5,1,4,2,8,3]
[8,3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3,8]
[4,2,7,6,1,8,5,3]=>[3,5,8,1,6,7,2,4]
[7,3,2,1,6,8,5,4]=>[4,5,8,6,1,2,3,7]
[7,2,4,8,6,3,5,1]=>[1,5,3,6,8,4,2,7]
[7,3,2,1,8,5,4,6]=>[6,4,5,8,1,2,3,7]
[7,3,2,1,6,4,8,5]=>[5,8,4,6,1,2,3,7]
[3,5,2,1,8,4,7,6]=>[6,7,4,8,1,2,5,3]
[3,6,5,2,1,8,4,7]=>[7,4,8,1,2,5,6,3]
[6,3,8,4,2,5,1,7]=>[7,1,5,2,4,8,3,6]
[6,7,2,4,3,5,8,1]=>[1,8,5,3,4,2,7,6]
[3,6,7,4,2,5,1,8]=>[8,1,5,2,4,7,6,3]
[6,4,7,3,2,1,5,8]=>[8,5,1,2,3,7,4,6]
[5,3,6,2,1,7,4,8]=>[8,4,7,1,2,6,3,5]
[3,2,6,5,1,7,4,8]=>[8,4,7,1,5,6,2,3]
[4,3,2,7,1,6,5,8]=>[8,5,6,1,7,2,3,4]
[4,5,3,7,2,1,6,8]=>[8,6,1,2,7,3,5,4]
[4,3,8,2,1,5,7,6]=>[6,7,5,1,2,8,3,4]
[4,3,2,8,1,6,7,5]=>[5,7,6,1,8,2,3,4]
[4,5,8,3,2,7,1,6]=>[6,1,7,2,3,8,5,4]
[5,8,3,4,7,2,1,6]=>[6,1,2,7,4,3,8,5]
[6,8,5,2,7,3,4,1]=>[1,4,3,7,2,5,8,6]
[2,5,4,6,1,8,7,3]=>[3,7,8,1,6,4,5,2]
[5,3,6,2,1,7,8,4]=>[4,8,7,1,2,6,3,5]
[6,4,7,3,2,8,1,5]=>[5,1,8,2,3,7,4,6]
[3,6,7,4,8,2,1,5]=>[5,1,2,8,4,7,6,3]
[6,7,2,4,8,3,5,1]=>[1,5,3,8,4,2,7,6]
[5,4,7,8,2,3,6,1]=>[1,6,3,2,8,7,4,5]
[4,3,8,2,1,6,7,5]=>[5,7,6,1,2,8,3,4]
[4,3,2,8,1,5,7,6]=>[6,7,5,1,8,2,3,4]
[4,5,3,2,6,8,1,7]=>[7,1,8,6,2,3,5,4]
[3,6,7,4,5,2,8,1]=>[1,8,2,5,4,7,6,3]
[3,4,7,5,6,2,8,1]=>[1,8,2,6,5,7,4,3]
[3,5,7,4,6,2,8,1]=>[1,8,2,6,4,7,5,3]
[4,5,2,3,7,6,8,1]=>[1,8,6,7,3,2,5,4]
[6,3,5,1,7,8,4,2]=>[2,4,8,7,1,5,3,6]
[5,3,7,6,2,4,8,1]=>[1,8,4,2,6,7,3,5]
[5,2,7,6,3,4,8,1]=>[1,8,4,3,6,7,2,5]
[5,2,7,6,4,3,8,1]=>[1,8,3,4,6,7,2,5]
[4,6,7,2,5,3,8,1]=>[1,8,3,5,2,7,6,4]
[4,6,7,3,5,2,8,1]=>[1,8,2,5,3,7,6,4]
[5,3,7,6,4,2,8,1]=>[1,8,2,4,6,7,3,5]
[6,4,7,8,3,1,5,2]=>[2,5,1,3,8,7,4,6]
[8,4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4,8]
[7,4,8,6,2,5,1,3]=>[3,1,5,2,6,8,4,7]
[6,4,7,8,1,3,5,2]=>[2,5,3,1,8,7,4,6]
[6,3,1,5,7,8,4,2]=>[2,4,8,7,5,1,3,6]
[5,6,7,3,8,1,4,2]=>[2,4,1,8,3,7,6,5]
[8,4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4,8]
[5,8,1,7,6,4,2,3]=>[3,2,4,6,7,1,8,5]
[2,6,7,8,5,4,1,3]=>[3,1,4,5,8,7,6,2]
[1,6,7,8,5,4,2,3]=>[3,2,4,5,8,7,6,1]
[5,6,7,1,8,3,4,2]=>[2,4,3,8,1,7,6,5]
[6,1,7,8,3,4,5,2]=>[2,5,4,3,8,7,1,6]
[7,1,8,6,2,5,4,3]=>[3,4,5,2,6,8,1,7]
[8,2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2,8]
[8,5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5,8]
[1,5,8,2,6,4,7,3]=>[3,7,4,6,2,8,5,1]
[6,1,5,3,7,8,4,2]=>[2,4,8,7,3,5,1,6]
[1,5,7,4,6,8,3,2]=>[2,3,8,6,4,7,5,1]
[1,4,7,5,6,8,3,2]=>[2,3,8,6,5,7,4,1]
[1,6,7,4,5,8,3,2]=>[2,3,8,5,4,7,6,1]
[5,6,7,4,8,1,3,2]=>[2,3,1,8,4,7,6,5]
[6,4,7,5,8,1,3,2]=>[2,3,1,8,5,7,4,6]
[7,5,2,1,8,4,6,3]=>[3,6,4,8,1,2,5,7]
[8,5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5,8]
[8,1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1,8]
[4,8,1,7,2,5,6,3]=>[3,6,5,2,7,1,8,4]
[2,6,7,1,5,4,8,3]=>[3,8,4,5,1,7,6,2]
[7,2,1,5,6,4,8,3]=>[3,8,4,6,5,1,2,7]
[2,8,1,6,4,5,7,3]=>[3,7,5,4,6,1,8,2]
[8,2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2,8]
[8,3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3,8]
[1,8,2,6,4,5,7,3]=>[3,7,5,4,6,2,8,1]
[7,1,2,5,6,4,8,3]=>[3,8,4,6,5,2,1,7]
[1,6,7,2,5,4,8,3]=>[3,8,4,5,2,7,6,1]
[3,2,7,6,5,8,1,4]=>[4,1,8,5,6,7,2,3]
[1,3,7,6,5,2,8,4]=>[4,8,2,5,6,7,3,1]
[8,3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3,8]
[1,7,3,4,5,8,2,6]=>[6,2,8,5,4,3,7,1]
[7,1,8,4,5,6,3,2]=>[2,3,6,5,4,8,1,7]
[1,2,7,4,5,8,3,6]=>[6,3,8,5,4,7,2,1]
[6,7,3,2,5,8,1,4]=>[4,1,8,5,2,3,7,6]
[6,1,8,4,5,3,7,2]=>[2,7,3,5,4,8,1,6]
[4,6,2,5,1,8,7,3]=>[3,7,8,1,5,2,6,4]
[5,1,4,6,2,8,7,3]=>[3,7,8,2,6,4,1,5]
[7,5,2,4,6,8,1,3]=>[3,1,8,6,4,2,5,7]
[7,3,5,2,1,6,8,4]=>[4,8,6,1,2,5,3,7]
[8,5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5,8]
[2,5,6,3,8,1,7,4]=>[4,7,1,8,3,6,5,2]
[1,5,6,3,8,7,4,2]=>[2,4,7,8,3,6,5,1]
[6,7,1,3,8,2,5,4]=>[4,5,2,8,3,1,7,6]
[7,6,5,2,1,4,8,3]=>[3,8,4,1,2,5,6,7]
[1,5,8,7,4,6,3,2]=>[2,3,6,4,7,8,5,1]
[5,7,2,1,3,6,8,4]=>[4,8,6,3,1,2,7,5]
[2,8,7,5,3,6,1,4]=>[4,1,6,3,5,7,8,2]
[2,7,6,3,8,1,5,4]=>[4,5,1,8,3,6,7,2]
[3,4,2,6,1,7,8,5]=>[5,8,7,1,6,2,4,3]
[3,7,2,6,8,1,5,4]=>[4,5,1,8,6,2,7,3]
[7,4,8,6,5,1,3,2]=>[2,3,1,5,6,8,4,7]
[1,6,5,3,7,4,8,2]=>[2,8,4,7,3,5,6,1]
[2,7,6,8,5,1,4,3]=>[3,4,1,5,8,6,7,2]
[1,6,4,5,7,3,8,2]=>[2,8,3,7,5,4,6,1]
[1,5,4,7,8,6,2,3]=>[3,2,6,8,7,4,5,1]
[7,3,1,6,8,2,5,4]=>[4,5,2,8,6,1,3,7]
[7,1,6,8,5,2,4,3]=>[3,4,2,5,8,6,1,7]
[3,5,8,7,6,4,1,2]=>[2,1,4,6,7,8,5,3]
[7,1,5,8,6,2,4,3]=>[3,4,2,6,8,5,1,7]
[1,5,7,8,6,2,4,3]=>[3,4,2,6,8,7,5,1]
[2,7,5,8,6,1,4,3]=>[3,4,1,6,8,5,7,2]
[4,3,6,2,1,7,8,5]=>[5,8,7,1,2,6,3,4]
[1,6,4,7,3,5,8,2]=>[2,8,5,3,7,4,6,1]
[4,6,2,3,1,7,8,5]=>[5,8,7,1,3,2,6,4]
[3,6,2,1,4,7,8,5]=>[5,8,7,4,1,2,6,3]
[6,8,2,7,5,4,3,1]=>[1,3,4,5,7,2,8,6]
[5,8,1,7,6,4,3,2]=>[2,3,4,6,7,1,8,5]
[8,6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6,8]
[8,5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5,8]
[7,5,2,4,3,6,8,1]=>[1,8,6,3,4,2,5,7]
[8,5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5,8]
[8,5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5,8]
[8,4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4,8]
[8,4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4,8]
[6,4,3,2,8,7,1,5]=>[5,1,7,8,2,3,4,6]
[8,5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5,8]
[8,5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5,8]
[4,7,3,6,1,8,5,2]=>[2,5,8,1,6,3,7,4]
[7,6,2,4,1,5,8,3]=>[3,8,5,1,4,2,6,7]
[8,1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1,8]
[5,3,8,2,6,7,1,4]=>[4,1,7,6,2,8,3,5]
[8,2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2,8]
[8,2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2,8]
[7,2,6,4,3,5,8,1]=>[1,8,5,3,4,6,2,7]
[7,3,6,2,4,5,8,1]=>[1,8,5,4,2,6,3,7]
[8,3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3,8]
[7,6,4,1,3,2,8,5]=>[5,8,2,3,1,4,6,7]
[7,3,8,2,1,5,6,4]=>[4,6,5,1,2,8,3,7]
[6,2,5,7,4,3,8,1]=>[1,8,3,4,7,5,2,6]
[6,2,5,4,8,7,1,3]=>[3,1,7,8,4,5,2,6]
[7,2,4,8,5,1,6,3]=>[3,6,1,5,8,4,2,7]
[4,2,7,6,8,5,1,3]=>[3,1,5,8,6,7,2,4]
[7,1,6,2,8,5,4,3]=>[3,4,5,8,2,6,1,7]
[7,1,6,3,8,5,2,4]=>[4,2,5,8,3,6,1,7]
[7,2,6,8,1,3,5,4]=>[4,5,3,1,8,6,2,7]
[7,2,8,5,1,3,6,4]=>[4,6,3,1,5,8,2,7]
[7,1,8,5,3,2,6,4]=>[4,6,2,3,5,8,1,7]
[7,1,8,2,5,6,4,3]=>[3,4,6,5,2,8,1,7]
[6,1,5,8,7,2,4,3]=>[3,4,2,7,8,5,1,6]
[6,1,5,7,4,8,3,2]=>[2,3,8,4,7,5,1,6]
[6,1,5,7,8,3,4,2]=>[2,4,3,8,7,5,1,6]
[4,6,7,3,1,8,5,2]=>[2,5,8,1,3,7,6,4]
[4,2,6,3,1,8,7,5]=>[5,7,8,1,3,6,2,4]
[6,1,4,2,5,8,7,3]=>[3,7,8,5,2,4,1,6]
[1,5,3,8,4,6,2,7]=>[7,2,6,4,8,3,5,1]
[7,2,3,5,8,4,1,6]=>[6,1,4,8,5,3,2,7]
[7,6,4,2,8,5,1,3]=>[3,1,5,8,2,4,6,7]
[1,7,6,4,8,5,3,2]=>[2,3,5,8,4,6,7,1]
[8,7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7,8]
[8,2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2,8]
[8,7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7,8]
[7,1,4,8,3,6,2,5]=>[5,2,6,3,8,4,1,7]
[4,1,8,5,7,6,2,3]=>[3,2,6,7,5,8,1,4]
[3,7,5,8,4,2,1,6]=>[6,1,2,4,8,5,7,3]
[6,1,5,8,3,4,2,7]=>[7,2,4,3,8,5,1,6]
[6,7,5,1,3,2,4,8]=>[8,4,2,3,1,5,7,6]
[5,2,6,1,7,3,4,8]=>[8,4,3,7,1,6,2,5]
[4,2,6,8,3,7,1,5]=>[5,1,7,3,8,6,2,4]
[6,8,5,1,4,2,3,7]=>[7,3,2,4,1,5,8,6]
[7,8,4,5,1,3,6,2]=>[2,6,3,1,5,4,8,7]
[1,7,8,5,3,4,6,2]=>[2,6,4,3,5,8,7,1]
[1,5,8,3,6,4,7,2]=>[2,7,4,6,3,8,5,1]
[6,3,8,1,4,2,7,5]=>[5,7,2,4,1,8,3,6]
[4,8,1,5,6,3,7,2]=>[2,7,3,6,5,1,8,4]
[1,8,2,6,5,3,7,4]=>[4,7,3,5,6,2,8,1]
[3,8,1,7,2,6,5,4]=>[4,5,6,2,7,1,8,3]
[7,3,8,1,2,6,5,4]=>[4,5,6,2,1,8,3,7]
[8,1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1,8]
[8,1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1,8]
[6,2,8,3,5,4,7,1]=>[1,7,4,5,3,8,2,6]
[6,1,8,2,5,4,7,3]=>[3,7,4,5,2,8,1,6]
[8,3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3,8]
[5,1,8,3,7,4,6,2]=>[2,6,4,7,3,8,1,5]
[8,3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3,8]
[8,4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4,8]
[8,2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2,8]
[7,2,5,3,4,6,1,8]=>[8,1,6,4,3,5,2,7]
[7,4,3,1,6,2,5,8]=>[8,5,2,6,1,3,4,7]
[7,6,4,2,5,3,1,8]=>[8,1,3,5,2,4,6,7]
[5,8,4,3,6,2,7,1]=>[1,7,2,6,3,4,8,5]
[3,8,4,6,2,5,7,1]=>[1,7,5,2,6,4,8,3]
[1,7,2,6,3,4,8,5]=>[5,8,4,3,6,2,7,1]
[7,5,1,6,3,2,4,8]=>[8,4,2,3,6,1,5,7]
[7,1,2,6,3,4,5,8]=>[8,5,4,3,6,2,1,7]
[7,2,5,1,6,3,4,8]=>[8,4,3,6,1,5,2,7]
[7,3,1,4,6,2,5,8]=>[8,5,2,6,4,1,3,7]
[7,1,6,5,4,2,3,8]=>[8,3,2,4,5,6,1,7]
[5,8,4,3,1,7,2,6]=>[6,2,7,1,3,4,8,5]
[2,1,7,6,3,5,8,4]=>[4,8,5,3,6,7,1,2]
[3,6,8,5,2,4,7,1]=>[1,7,4,2,5,8,6,3]
[5,7,8,4,3,2,6,1]=>[1,6,2,3,4,8,7,5]
[1,4,8,6,5,7,3,2]=>[2,3,7,5,6,8,4,1]
[1,3,8,4,7,2,6,5]=>[5,6,2,7,4,8,3,1]
[2,5,8,3,4,7,1,6]=>[6,1,7,4,3,8,5,2]
[5,4,2,8,3,7,1,6]=>[6,1,7,3,8,2,4,5]
[5,3,1,7,6,8,4,2]=>[2,4,8,6,7,1,3,5]
[4,2,7,1,5,8,6,3]=>[3,6,8,5,1,7,2,4]
[6,1,7,4,3,8,5,2]=>[2,5,8,3,4,7,1,6]
[1,3,7,4,8,5,6,2]=>[2,6,5,8,4,7,3,1]
[3,2,1,4,5,8,6,7]=>[7,6,8,5,4,1,2,3]
[6,7,1,3,2,8,5,4]=>[4,5,8,2,3,1,7,6]
[3,7,2,1,6,8,5,4]=>[4,5,8,6,1,2,7,3]
[1,5,3,2,6,8,4,7]=>[7,4,8,6,2,3,5,1]
[5,4,3,1,7,2,8,6]=>[6,8,2,7,1,3,4,5]
[5,1,4,2,3,6,8,7]=>[7,8,6,3,2,4,1,5]
[3,7,6,5,8,2,4,1]=>[1,4,2,8,5,6,7,3]
[5,7,4,2,8,6,1,3]=>[3,1,6,8,2,4,7,5]
[5,4,3,7,8,2,6,1]=>[1,6,2,8,7,3,4,5]
[2,3,7,8,6,1,4,5]=>[5,4,1,6,8,7,3,2]
[3,8,5,7,6,2,4,1]=>[1,4,2,6,7,5,8,3]
[1,3,6,8,7,2,5,4]=>[4,5,2,7,8,6,3,1]
[5,4,1,6,8,7,3,2]=>[2,3,7,8,6,1,4,5]
[5,7,8,6,2,4,3,1]=>[1,3,4,2,6,8,7,5]
[1,8,7,2,4,3,5,6]=>[6,5,3,4,2,7,8,1]
[6,2,5,1,4,7,3,8]=>[8,3,7,4,1,5,2,6]
[5,8,7,1,4,2,3,6]=>[6,3,2,4,1,7,8,5]
[7,5,2,4,1,8,6,3]=>[3,6,8,1,4,2,5,7]
[2,6,3,7,1,4,5,8]=>[8,5,4,1,7,3,6,2]
[8,2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2,8]
[6,5,1,2,4,7,8,3]=>[3,8,7,4,2,1,5,6]
[6,1,3,7,8,2,4,5]=>[5,4,2,8,7,3,1,6]
[1,6,3,8,2,4,5,7]=>[7,5,4,2,8,3,6,1]
[7,6,4,3,5,1,8,2]=>[2,8,1,5,3,4,6,7]
[7,6,8,4,3,1,5,2]=>[2,5,1,3,4,8,6,7]
[3,8,6,1,4,2,5,7]=>[7,5,2,4,1,6,8,3]
[7,6,5,3,8,1,4,2]=>[2,4,1,8,3,5,6,7]
[1,7,6,5,3,2,4,8]=>[8,4,2,3,5,6,7,1]
[2,7,6,5,4,1,3,8]=>[8,3,1,4,5,6,7,2]
[2,8,6,4,5,1,3,7]=>[7,3,1,5,4,6,8,2]
[7,6,8,5,3,1,4,2]=>[2,4,1,3,5,8,6,7]
[8,4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4,8]
[8,1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1,8]
[3,8,2,5,4,6,1,7]=>[7,1,6,4,5,2,8,3]
[5,2,3,6,4,1,7,8]=>[8,7,1,4,6,3,2,5]
[8,1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1,8]
[6,2,3,5,8,4,1,7]=>[7,1,4,8,5,3,2,6]
[3,7,6,8,4,1,5,2]=>[2,5,1,4,8,6,7,3]
[4,7,6,1,5,8,3,2]=>[2,3,8,5,1,6,7,4]
[1,5,6,8,2,4,3,7]=>[7,3,4,2,8,6,5,1]
[7,1,6,5,3,8,2,4]=>[4,2,8,3,5,6,1,7]
[1,7,6,4,2,5,8,3]=>[3,8,5,2,4,6,7,1]
[7,6,4,1,5,3,8,2]=>[2,8,3,5,1,4,6,7]
[6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6]
[7,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,7]
[8,7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7,8]
[2,5,3,6,4,8,7,1]=>[1,7,8,4,6,3,5,2]
[2,5,3,7,4,8,6,1]=>[1,6,8,4,7,3,5,2]
[4,6,3,5,7,2,1,8]=>[8,1,2,7,5,3,6,4]
[4,3,7,2,1,8,5,6]=>[6,5,8,1,2,7,3,4]
[1,7,4,3,2,8,5,6]=>[6,5,8,2,3,4,7,1]
[7,4,6,3,5,8,1,2]=>[2,1,8,5,3,6,4,7]
[7,2,6,1,5,8,3,4]=>[4,3,8,5,1,6,2,7]
[7,2,6,1,8,5,4,3]=>[3,4,5,8,1,6,2,7]
[4,7,3,8,6,2,5,1]=>[1,5,2,6,8,3,7,4]
[4,7,3,6,8,2,1,5]=>[5,1,2,8,6,3,7,4]
[5,4,7,3,8,2,1,6]=>[6,1,2,8,3,7,4,5]
[8,3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3,8]
[7,3,6,4,2,5,1,8]=>[8,1,5,2,4,6,3,7]
[8,7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7,8]
[1,3,6,8,5,7,4,2]=>[2,4,7,5,8,6,3,1]
[6,3,5,8,2,4,1,7]=>[7,1,4,2,8,5,3,6]
[1,6,4,8,3,7,2,5]=>[5,2,7,3,8,4,6,1]
[7,3,6,2,8,5,4,1]=>[1,4,5,8,2,6,3,7]
[7,4,6,8,3,5,2,1]=>[1,2,5,3,8,6,4,7]
[4,3,5,7,2,6,1,8]=>[8,1,6,2,7,5,3,4]
[5,4,6,8,3,7,2,1]=>[1,2,7,3,8,6,4,5]
[1,7,2,8,5,4,3,6]=>[6,3,4,5,8,2,7,1]
[5,4,8,3,6,2,1,7]=>[7,1,2,6,3,8,4,5]
[1,3,8,5,7,4,6,2]=>[2,6,4,7,5,8,3,1]
[6,8,2,5,7,1,4,3]=>[3,4,1,7,5,2,8,6]
[5,7,2,4,6,1,3,8]=>[8,3,1,6,4,2,7,5]
[3,7,5,2,6,4,1,8]=>[8,1,4,6,2,5,7,3]
[3,8,6,2,7,5,1,4]=>[4,1,5,7,2,6,8,3]
[5,8,4,2,7,3,6,1]=>[1,6,3,7,2,4,8,5]
[1,8,6,3,5,2,4,7]=>[7,4,2,5,3,6,8,1]
[8,4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4,8]
[7,4,2,6,3,1,5,8]=>[8,5,1,3,6,2,4,7]
[8,2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2,8]
[8,1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1,8]
[6,1,5,7,2,3,8,4]=>[4,8,3,2,7,5,1,6]
[8,6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6,8]
[8,5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5,8]
[6,1,3,7,2,5,8,4]=>[4,8,5,2,7,3,1,6]
[8,2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2,8]
[8,1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1,8]
[8,3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3,8]
[8,5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5,8]
[2,6,8,7,3,4,5,1]=>[1,5,4,3,7,8,6,2]
[1,7,8,3,6,4,2,5]=>[5,2,4,6,3,8,7,1]
[1,7,8,3,2,4,6,5]=>[5,6,4,2,3,8,7,1]
[1,7,8,5,6,4,2,3]=>[3,2,4,6,5,8,7,1]
[8,3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3,8]
[3,1,7,5,8,2,4,6]=>[6,4,2,8,5,7,1,3]
[8,1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1,8]
[3,2,6,5,8,1,4,7]=>[7,4,1,8,5,6,2,3]
[8,2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2,8]
[8,1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1,8]
[3,5,8,1,6,4,2,7]=>[7,2,4,6,1,8,5,3]
[3,5,8,2,7,4,1,6]=>[6,1,4,7,2,8,5,3]
[8,3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3,8]
[6,5,1,7,3,2,8,4]=>[4,8,2,3,7,1,5,6]
[8,3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3,8]
[8,2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2,8]
[8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8]
[2,6,8,1,5,4,3,7]=>[7,3,4,5,1,8,6,2]
[5,2,1,7,6,3,8,4]=>[4,8,3,6,7,1,2,5]
[3,5,8,2,1,4,7,6]=>[6,7,4,1,2,8,5,3]
[4,2,8,5,3,7,6,1]=>[1,6,7,3,5,8,2,4]
[4,2,7,5,3,8,6,1]=>[1,6,8,3,5,7,2,4]
[6,4,5,1,8,3,2,7]=>[7,2,3,8,1,5,4,6]
[5,4,7,8,3,1,2,6]=>[6,2,1,3,8,7,4,5]
[4,5,8,1,3,7,2,6]=>[6,2,7,3,1,8,5,4]
[1,5,3,6,8,7,2,4]=>[4,2,7,8,6,3,5,1]
[7,6,2,8,1,4,3,5]=>[5,3,4,1,8,2,6,7]
[4,7,2,6,8,3,5,1]=>[1,5,3,8,6,2,7,4]
[6,3,2,8,7,4,5,1]=>[1,5,4,7,8,2,3,6]
[7,4,3,8,5,6,2,1]=>[1,2,6,5,8,3,4,7]
[3,1,5,8,7,6,2,4]=>[4,2,6,7,8,5,1,3]
[8,2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2,8]
[3,1,8,6,5,7,2,4]=>[4,2,7,5,6,8,1,3]
[1,2,7,6,4,5,8,3]=>[3,8,5,4,6,7,2,1]
[7,2,6,5,1,8,3,4]=>[4,3,8,1,5,6,2,7]
[4,2,8,5,6,3,1,7]=>[7,1,3,6,5,8,2,4]
[6,4,2,1,8,7,3,5]=>[5,3,7,8,1,2,4,6]
[4,7,3,2,5,1,6,8]=>[8,6,1,5,2,3,7,4]
[6,2,5,1,7,8,4,3]=>[3,4,8,7,1,5,2,6]
[4,2,5,3,8,7,1,6]=>[6,1,7,8,3,5,2,4]
[6,2,5,8,7,4,1,3]=>[3,1,4,7,8,5,2,6]
[7,2,5,3,8,1,4,6]=>[6,4,1,8,3,5,2,7]
[7,2,5,3,8,4,6,1]=>[1,6,4,8,3,5,2,7]
[3,7,5,2,6,1,4,8]=>[8,4,1,6,2,5,7,3]
[3,8,5,6,7,4,2,1]=>[1,2,4,7,6,5,8,3]
[3,8,5,2,6,1,4,7]=>[7,4,1,6,2,5,8,3]
[3,6,8,1,7,4,5,2]=>[2,5,4,7,1,8,6,3]
[6,3,4,1,8,7,2,5]=>[5,2,7,8,1,4,3,6]
[4,7,3,2,5,8,1,6]=>[6,1,8,5,2,3,7,4]
[8,7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7,8]
[5,1,7,6,2,4,8,3]=>[3,8,4,2,6,7,1,5]
[5,4,7,3,1,6,8,2]=>[2,8,6,1,3,7,4,5]
[7,5,4,8,3,1,6,2]=>[2,6,1,3,8,4,5,7]
[3,4,8,1,6,5,2,7]=>[7,2,5,6,1,8,4,3]
[7,5,6,1,8,3,2,4]=>[4,2,3,8,1,6,5,7]
[4,5,6,2,7,3,1,8]=>[8,1,3,7,2,6,5,4]
[5,3,4,7,1,6,2,8]=>[8,2,6,1,7,4,3,5]
[5,3,7,2,1,6,8,4]=>[4,8,6,1,2,7,3,5]
[3,5,1,4,6,8,2,7]=>[7,2,8,6,4,1,5,3]
[4,3,7,1,6,5,2,8]=>[8,2,5,6,1,7,3,4]
[8,5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5,8]
[7,6,3,2,5,4,8,1]=>[1,8,4,5,2,3,6,7]
[8,6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6,8]
[8,5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5,8]
[6,5,8,4,2,7,1,3]=>[3,1,7,2,4,8,5,6]
[2,3,7,4,1,8,6,5]=>[5,6,8,1,4,7,3,2]
[2,4,5,1,8,6,3,7]=>[7,3,6,8,1,5,4,2]
[2,4,1,6,7,5,3,8]=>[8,3,5,7,6,1,4,2]
[6,3,7,1,5,2,4,8]=>[8,4,2,5,1,7,3,6]
[4,1,3,7,8,2,6,5]=>[5,6,2,8,7,3,1,4]
[7,1,4,8,6,5,2,3]=>[3,2,5,6,8,4,1,7]
[8,3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3,8]
[1,4,5,3,8,6,7,2]=>[2,7,6,8,3,5,4,1]
[4,6,2,7,5,8,1,3]=>[3,1,8,5,7,2,6,4]
[7,3,2,5,1,8,4,6]=>[6,4,8,1,5,2,3,7]
[7,8,1,4,2,3,5,6]=>[6,5,3,2,4,1,8,7]
[6,5,2,4,8,7,1,3]=>[3,1,7,8,4,2,5,6]
[8,5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5,8]
[5,1,2,4,3,6,8,7]=>[7,8,6,3,4,2,1,5]
[5,2,1,4,3,7,6,8]=>[8,6,7,3,4,1,2,5]
[8,6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6,8]
[6,2,1,5,8,3,4,7]=>[7,4,3,8,5,1,2,6]
[2,3,8,7,1,5,4,6]=>[6,4,5,1,7,8,3,2]
[4,3,8,1,5,2,6,7]=>[7,6,2,5,1,8,3,4]
[4,1,3,6,7,2,8,5]=>[5,8,2,7,6,3,1,4]
[7,1,4,5,8,2,6,3]=>[3,6,2,8,5,4,1,7]
[6,1,3,2,4,5,8,7]=>[7,8,5,4,2,3,1,6]
[7,8,1,6,5,2,4,3]=>[3,4,2,5,6,1,8,7]
[7,4,8,5,1,3,2,6]=>[6,2,3,1,5,8,4,7]
[7,4,8,6,5,1,2,3]=>[3,2,1,5,6,8,4,7]
[2,8,1,7,6,3,5,4]=>[4,5,3,6,7,1,8,2]
[3,4,8,6,5,1,2,7]=>[7,2,1,5,6,8,4,3]
[3,7,8,6,5,1,2,4]=>[4,2,1,5,6,8,7,3]
[5,7,8,2,6,3,1,4]=>[4,1,3,6,2,8,7,5]
[4,7,8,2,5,3,1,6]=>[6,1,3,5,2,8,7,4]
[8,4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4,8]
[4,5,8,6,1,3,2,7]=>[7,2,3,1,6,8,5,4]
[3,6,8,7,1,5,2,4]=>[4,2,5,1,7,8,6,3]
[4,7,8,2,6,3,1,5]=>[5,1,3,6,2,8,7,4]
[5,6,8,2,7,3,1,4]=>[4,1,3,7,2,8,6,5]
[4,5,8,2,7,3,1,6]=>[6,1,3,7,2,8,5,4]
[4,8,3,1,7,5,2,6]=>[6,2,5,7,1,3,8,4]
[2,8,4,3,7,5,1,6]=>[6,1,5,7,3,4,8,2]
[7,5,4,8,3,2,1,6]=>[6,1,2,3,8,4,5,7]
[6,5,8,2,7,3,1,4]=>[4,1,3,7,2,8,5,6]
[6,4,8,2,7,3,1,5]=>[5,1,3,7,2,8,4,6]
[6,8,3,1,7,4,2,5]=>[5,2,4,7,1,3,8,6]
[7,8,3,1,6,4,2,5]=>[5,2,4,6,1,3,8,7]
[2,8,6,3,4,5,1,7]=>[7,1,5,4,3,6,8,2]
[7,8,1,3,6,4,2,5]=>[5,2,4,6,3,1,8,7]
[6,8,1,3,7,4,2,5]=>[5,2,4,7,3,1,8,6]
[5,3,8,6,1,4,2,7]=>[7,2,4,1,6,8,3,5]
[5,8,1,3,7,4,2,6]=>[6,2,4,7,3,1,8,5]
[5,3,8,2,7,4,1,6]=>[6,1,4,7,2,8,3,5]
[4,3,8,2,7,5,1,6]=>[6,1,5,7,2,8,3,4]
[4,5,7,8,3,2,1,6]=>[6,1,2,3,8,7,5,4]
[5,7,3,4,2,6,8,1]=>[1,8,6,2,4,3,7,5]
[5,7,4,2,3,6,8,1]=>[1,8,6,3,2,4,7,5]
[5,4,7,3,2,8,1,6]=>[6,1,8,2,3,7,4,5]
[6,8,3,2,4,5,1,7]=>[7,1,5,4,2,3,8,6]
[5,8,3,4,6,1,2,7]=>[7,2,1,6,4,3,8,5]
[6,4,3,8,5,1,2,7]=>[7,2,1,5,8,3,4,6]
[6,4,8,2,3,5,1,7]=>[7,1,5,3,2,8,4,6]
[5,4,6,8,2,3,1,7]=>[7,1,3,2,8,6,4,5]
[5,6,8,4,1,2,3,7]=>[7,3,2,1,4,8,6,5]
[6,4,8,5,1,2,3,7]=>[7,3,2,1,5,8,4,6]
[7,4,8,3,1,2,5,6]=>[6,5,2,1,3,8,4,7]
[5,7,8,2,3,1,4,6]=>[6,4,1,3,2,8,7,5]
[5,4,7,8,2,1,3,6]=>[6,3,1,2,8,7,4,5]
[5,8,6,3,1,2,4,7]=>[7,4,2,1,3,6,8,5]
[6,8,5,2,1,3,4,7]=>[7,4,3,1,2,5,8,6]
[5,6,1,3,2,4,8,7]=>[7,8,4,2,3,1,6,5]
[3,5,1,2,7,6,4,8]=>[8,4,6,7,2,1,5,3]
[4,1,3,7,2,6,5,8]=>[8,5,6,2,7,3,1,4]
[4,3,6,1,2,5,8,7]=>[7,8,5,2,1,6,3,4]
[8,1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1,8]
[4,3,8,1,2,5,7,6]=>[6,7,5,2,1,8,3,4]
[7,4,3,2,5,8,6,1]=>[1,6,8,5,2,3,4,7]
[4,6,3,2,8,5,7,1]=>[1,7,5,8,2,3,6,4]
[1,4,3,2,6,8,5,7]=>[7,5,8,6,2,3,4,1]
[5,3,7,2,1,8,6,4]=>[4,6,8,1,2,7,3,5]
[7,4,3,2,5,1,8,6]=>[6,8,1,5,2,3,4,7]
[5,4,3,7,2,6,8,1]=>[1,8,6,2,7,3,4,5]
[5,4,8,3,7,2,1,6]=>[6,1,2,7,3,8,4,5]
[3,6,8,5,2,1,7,4]=>[4,7,1,2,5,8,6,3]
[6,1,5,4,7,2,8,3]=>[3,8,2,7,4,5,1,6]
[1,3,6,5,8,2,7,4]=>[4,7,2,8,5,6,3,1]
[1,4,3,6,2,8,5,7]=>[7,5,8,2,6,3,4,1]
[4,3,6,8,2,7,5,1]=>[1,5,7,2,8,6,3,4]
[7,6,4,1,2,8,5,3]=>[3,5,8,2,1,4,6,7]
[1,6,5,3,2,8,4,7]=>[7,4,8,2,3,5,6,1]
[1,5,3,2,7,8,6,4]=>[4,6,8,7,2,3,5,1]
[5,4,8,3,2,7,1,6]=>[6,1,7,2,3,8,4,5]
[5,4,3,7,2,1,6,8]=>[8,6,1,2,7,3,4,5]
[1,6,5,4,7,2,8,3]=>[3,8,2,7,4,5,6,1]
[3,6,5,7,2,1,8,4]=>[4,8,1,2,7,5,6,3]
[5,4,3,7,8,2,1,6]=>[6,1,2,8,7,3,4,5]
[1,4,8,6,3,2,7,5]=>[5,7,2,3,6,8,4,1]
[2,8,3,6,5,4,1,7]=>[7,1,4,5,6,3,8,2]
[4,1,8,6,2,5,7,3]=>[3,7,5,2,6,8,1,4]
[1,5,3,6,7,4,8,2]=>[2,8,4,7,6,3,5,1]
[6,7,2,5,3,8,4,1]=>[1,4,8,3,5,2,7,6]
[4,7,6,2,5,1,8,3]=>[3,8,1,5,2,6,7,4]
[4,6,3,1,5,7,8,2]=>[2,8,7,5,1,3,6,4]
[1,5,7,4,6,2,8,3]=>[3,8,2,6,4,7,5,1]
[6,3,4,8,1,2,7,5]=>[5,7,2,1,8,4,3,6]
[1,3,5,2,8,6,4,7]=>[7,4,6,8,2,5,3,1]
[6,2,8,1,7,4,5,3]=>[3,5,4,7,1,8,2,6]
[1,7,6,3,8,4,2,5]=>[5,2,4,8,3,6,7,1]
[5,2,4,6,8,3,1,7]=>[7,1,3,8,6,4,2,5]
[6,1,2,3,5,4,8,7]=>[7,8,4,5,3,2,1,6]
[2,5,4,3,7,8,1,6]=>[6,1,8,7,3,4,5,2]
[5,4,1,6,8,3,7,2]=>[2,7,3,8,6,1,4,5]
[7,1,6,8,3,5,4,2]=>[2,4,5,3,8,6,1,7]
[2,6,3,1,5,8,7,4]=>[4,7,8,5,1,3,6,2]
[7,2,1,4,8,6,3,5]=>[5,3,6,8,4,1,2,7]
[1,6,2,3,5,4,8,7]=>[7,8,4,5,3,2,6,1]
[7,2,6,5,3,4,8,1]=>[1,8,4,3,5,6,2,7]
[7,1,3,2,6,5,8,4]=>[4,8,5,6,2,3,1,7]
[7,3,1,2,5,6,8,4]=>[4,8,6,5,2,1,3,7]
[2,7,1,3,4,6,8,5]=>[5,8,6,4,3,1,7,2]
[6,1,3,5,8,7,4,2]=>[2,4,7,8,5,3,1,6]
[3,5,8,7,4,6,2,1]=>[1,2,6,4,7,8,5,3]
[6,8,5,7,3,4,2,1]=>[1,2,4,3,7,5,8,6]
[5,3,6,8,4,2,1,7]=>[7,1,2,4,8,6,3,5]
[5,1,6,8,4,7,3,2]=>[2,3,7,4,8,6,1,5]
[6,2,8,3,4,1,5,7]=>[7,5,1,4,3,8,2,6]
[2,4,1,8,7,6,3,5]=>[5,3,6,7,8,1,4,2]
[1,3,5,8,4,7,2,6]=>[6,2,7,4,8,5,3,1]
[2,3,8,7,5,1,6,4]=>[4,6,1,5,7,8,3,2]
[8,5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5,8]
[5,8,7,2,4,1,3,6]=>[6,3,1,4,2,7,8,5]
[4,1,3,5,6,2,8,7]=>[7,8,2,6,5,3,1,4]
[6,3,8,5,1,7,4,2]=>[2,4,7,1,5,8,3,6]
[8,2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2,8]
[6,4,8,7,3,5,2,1]=>[1,2,5,3,7,8,4,6]
[8,2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2,8]
[4,3,5,6,8,2,7,1]=>[1,7,2,8,6,5,3,4]
[8,2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2,8]
[1,7,4,3,5,2,8,6]=>[6,8,2,5,3,4,7,1]
[2,7,4,3,8,1,5,6]=>[6,5,1,8,3,4,7,2]
[3,8,2,7,6,4,1,5]=>[5,1,4,6,7,2,8,3]
[5,3,6,2,1,8,4,7]=>[7,4,8,1,2,6,3,5]
[4,3,8,6,2,7,1,5]=>[5,1,7,2,6,8,3,4]
[8,2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2,8]
[3,1,6,8,2,7,5,4]=>[4,5,7,2,8,6,1,3]
[5,3,8,6,7,2,1,4]=>[4,1,2,7,6,8,3,5]
[5,8,7,2,4,6,1,3]=>[3,1,6,4,2,7,8,5]
[1,5,2,8,7,6,4,3]=>[3,4,6,7,8,2,5,1]
[2,7,1,4,6,5,3,8]=>[8,3,5,6,4,1,7,2]
[4,7,1,2,6,5,8,3]=>[3,8,5,6,2,1,7,4]
[4,2,5,6,8,7,3,1]=>[1,3,7,8,6,5,2,4]
[6,5,8,3,7,4,2,1]=>[1,2,4,7,3,8,5,6]
[8,2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2,8]
[8,3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3,8]
[7,8,1,5,6,3,2,4]=>[4,2,3,6,5,1,8,7]
[1,7,8,3,2,5,4,6]=>[6,4,5,2,3,8,7,1]
[7,8,1,3,2,5,6,4]=>[4,6,5,2,3,1,8,7]
[7,8,1,3,5,4,6,2]=>[2,6,4,5,3,1,8,7]
[7,8,1,3,5,2,4,6]=>[6,4,2,5,3,1,8,7]
[1,3,7,8,5,2,4,6]=>[6,4,2,5,8,7,3,1]
[1,7,8,3,5,2,6,4]=>[4,6,2,5,3,8,7,1]
[1,7,8,3,2,5,6,4]=>[4,6,5,2,3,8,7,1]
[3,7,8,5,4,6,1,2]=>[2,1,6,4,5,8,7,3]
[3,5,7,6,4,8,1,2]=>[2,1,8,4,6,7,5,3]
[1,3,7,8,5,4,6,2]=>[2,6,4,5,8,7,3,1]
[1,3,7,8,5,4,2,6]=>[6,2,4,5,8,7,3,1]
[1,3,7,8,2,5,4,6]=>[6,4,5,2,8,7,3,1]
[1,3,2,7,8,5,4,6]=>[6,4,5,8,7,2,3,1]
[1,5,7,6,8,3,2,4]=>[4,2,3,8,6,7,5,1]
[3,5,4,7,8,6,1,2]=>[2,1,6,8,7,4,5,3]
[3,5,7,6,8,4,1,2]=>[2,1,4,8,6,7,5,3]
[1,5,7,6,8,3,4,2]=>[2,4,3,8,6,7,5,1]
[3,5,7,4,6,8,1,2]=>[2,1,8,6,4,7,5,3]
[6,1,4,3,2,5,8,7]=>[7,8,5,2,3,4,1,6]
[7,4,2,1,3,6,5,8]=>[8,5,6,3,1,2,4,7]
[6,5,8,4,3,7,1,2]=>[2,1,7,3,4,8,5,6]
[3,7,8,4,6,5,1,2]=>[2,1,5,6,4,8,7,3]
[5,2,7,6,3,8,1,4]=>[4,1,8,3,6,7,2,5]
[6,2,5,7,1,8,4,3]=>[3,4,8,1,7,5,2,6]
[1,8,3,2,4,6,5,7]=>[7,5,6,4,2,3,8,1]
[5,8,6,2,3,7,1,4]=>[4,1,7,3,2,6,8,5]
[1,4,8,3,6,7,2,5]=>[5,2,7,6,3,8,4,1]
[6,7,3,1,5,2,4,8]=>[8,4,2,5,1,3,7,6]
[5,2,4,1,8,3,6,7]=>[7,6,3,8,1,4,2,5]
[3,5,6,7,2,1,8,4]=>[4,8,1,2,7,6,5,3]
[6,2,8,5,3,1,4,7]=>[7,4,1,3,5,8,2,6]
[2,1,7,4,3,8,5,6]=>[6,5,8,3,4,7,1,2]
[1,4,2,8,3,6,7,5]=>[5,7,6,3,8,2,4,1]
[6,5,1,3,4,7,8,2]=>[2,8,7,4,3,1,5,6]
[7,2,3,8,5,4,1,6]=>[6,1,4,5,8,3,2,7]
[3,4,1,7,8,2,6,5]=>[5,6,2,8,7,1,4,3]
[7,8,3,1,4,5,6,2]=>[2,6,5,4,1,3,8,7]
[5,8,1,4,3,7,6,2]=>[2,6,7,3,4,1,8,5]
[3,7,1,5,6,4,8,2]=>[2,8,4,6,5,1,7,3]
[6,1,8,7,3,2,5,4]=>[4,5,2,3,7,8,1,6]
[4,1,5,2,7,8,6,3]=>[3,6,8,7,2,5,1,4]
[7,8,1,5,6,2,4,3]=>[3,4,2,6,5,1,8,7]
[4,1,5,7,6,3,8,2]=>[2,8,3,6,7,5,1,4]
[1,5,7,4,6,8,2,3]=>[3,2,8,6,4,7,5,1]
[1,4,8,2,3,6,5,7]=>[7,5,6,3,2,8,4,1]
[1,4,7,3,2,6,5,8]=>[8,5,6,2,3,7,4,1]
[1,4,6,7,3,5,2,8]=>[8,2,5,3,7,6,4,1]
[1,5,3,4,8,2,7,6]=>[6,7,2,8,4,3,5,1]
[1,4,8,2,6,7,5,3]=>[3,5,7,6,2,8,4,1]
[1,4,7,8,2,3,6,5]=>[5,6,3,2,8,7,4,1]
[2,8,3,5,7,1,4,6]=>[6,4,1,7,5,3,8,2]
[1,7,3,2,4,5,6,8]=>[8,6,5,4,2,3,7,1]
[7,4,6,2,3,1,5,8]=>[8,5,1,3,2,6,4,7]
[6,1,4,7,8,3,2,5]=>[5,2,3,8,7,4,1,6]
[1,7,3,2,4,5,8,6]=>[6,8,5,4,2,3,7,1]
[1,4,8,7,3,2,6,5]=>[5,6,2,3,7,8,4,1]
[1,6,4,3,2,5,7,8]=>[8,7,5,2,3,4,6,1]
[4,2,6,5,3,1,7,8]=>[8,7,1,3,5,6,2,4]
[6,5,2,3,4,1,8,7]=>[7,8,1,4,3,2,5,6]
[5,2,1,6,8,7,4,3]=>[3,4,7,8,6,1,2,5]
[1,3,5,8,6,2,7,4]=>[4,7,2,6,8,5,3,1]
[2,3,8,4,1,7,6,5]=>[5,6,7,1,4,8,3,2]
[2,5,1,7,8,4,3,6]=>[6,3,4,8,7,1,5,2]
[3,7,8,5,4,2,6,1]=>[1,6,2,4,5,8,7,3]
[4,7,5,2,3,1,6,8]=>[8,6,1,3,2,5,7,4]
[8,3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3,8]
[3,6,7,4,1,5,2,8]=>[8,2,5,1,4,7,6,3]
[3,5,7,1,6,2,8,4]=>[4,8,2,6,1,7,5,3]
[1,3,8,5,7,4,2,6]=>[6,2,4,7,5,8,3,1]
[1,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,1]
[1,4,2,8,6,3,5,7]=>[7,5,3,6,8,2,4,1]
[1,7,6,5,3,4,2,8]=>[8,2,4,3,5,6,7,1]
[2,3,8,6,5,4,1,7]=>[7,1,4,5,6,8,3,2]
[2,8,6,3,5,7,4,1]=>[1,4,7,5,3,6,8,2]
[2,6,7,4,3,1,8,5]=>[5,8,1,3,4,7,6,2]
[2,8,6,7,4,1,5,3]=>[3,5,1,4,7,6,8,2]
[6,1,8,2,5,3,4,7]=>[7,4,3,5,2,8,1,6]
[2,6,1,5,7,3,4,8]=>[8,4,3,7,5,1,6,2]
[3,6,1,5,2,7,4,8]=>[8,4,7,2,5,1,6,3]
[3,8,6,4,2,7,1,5]=>[5,1,7,2,4,6,8,3]
[3,8,6,2,1,7,5,4]=>[4,5,7,1,2,6,8,3]
[1,8,2,5,7,4,6,3]=>[3,6,4,7,5,2,8,1]
[5,2,4,8,3,1,7,6]=>[6,7,1,3,8,4,2,5]
[2,5,8,4,3,1,6,7]=>[7,6,1,3,4,8,5,2]
[4,1,8,7,2,5,6,3]=>[3,6,5,2,7,8,1,4]
[1,5,4,2,3,6,8,7]=>[7,8,6,3,2,4,5,1]
[6,1,5,2,3,4,8,7]=>[7,8,4,3,2,5,1,6]
[4,6,2,8,1,5,7,3]=>[3,7,5,1,8,2,6,4]
[3,4,1,8,2,5,7,6]=>[6,7,5,2,8,1,4,3]
[4,2,1,8,5,3,7,6]=>[6,7,3,5,8,1,2,4]
[2,5,8,7,6,4,1,3]=>[3,1,4,6,7,8,5,2]
[3,1,8,2,4,6,7,5]=>[5,7,6,4,2,8,1,3]
[6,5,2,1,7,3,4,8]=>[8,4,3,7,1,2,5,6]
[5,2,6,8,7,3,1,4]=>[4,1,3,7,8,6,2,5]
[2,7,8,6,3,4,1,5]=>[5,1,4,3,6,8,7,2]
[3,1,2,8,6,7,5,4]=>[4,5,7,6,8,2,1,3]
[3,1,2,4,8,6,7,5]=>[5,7,6,8,4,2,1,3]
[3,1,2,5,8,7,4,6]=>[6,4,7,8,5,2,1,3]
[6,5,2,1,8,4,7,3]=>[3,7,4,8,1,2,5,6]
[5,6,2,4,3,8,1,7]=>[7,1,8,3,4,2,6,5]
[3,7,5,2,8,1,4,6]=>[6,4,1,8,2,5,7,3]
[7,4,1,3,6,2,8,5]=>[5,8,2,6,3,1,4,7]
[5,1,4,7,3,2,8,6]=>[6,8,2,3,7,4,1,5]
[2,3,5,4,8,6,1,7]=>[7,1,6,8,4,5,3,2]
[2,3,6,4,7,5,1,8]=>[8,1,5,7,4,6,3,2]
[2,3,5,7,4,8,1,6]=>[6,1,8,4,7,5,3,2]
[2,3,7,6,1,5,8,4]=>[4,8,5,1,6,7,3,2]
[8,3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3,8]
[3,7,6,1,2,5,8,4]=>[4,8,5,2,1,6,7,3]
[4,7,1,6,8,5,3,2]=>[2,3,5,8,6,1,7,4]
[4,1,8,6,3,5,2,7]=>[7,2,5,3,6,8,1,4]
[4,1,5,8,6,2,3,7]=>[7,3,2,6,8,5,1,4]
[5,3,4,6,2,8,7,1]=>[1,7,8,2,6,4,3,5]
[5,4,8,6,3,7,1,2]=>[2,1,7,3,6,8,4,5]
[5,7,3,4,8,2,6,1]=>[1,6,2,8,4,3,7,5]
[5,6,4,2,7,8,3,1]=>[1,3,8,7,2,4,6,5]
[6,5,2,3,7,4,1,8]=>[8,1,4,7,3,2,5,6]
[6,5,2,3,1,8,7,4]=>[4,7,8,1,3,2,5,6]
[6,5,3,7,4,1,2,8]=>[8,2,1,4,7,3,5,6]
[6,4,7,5,3,8,1,2]=>[2,1,8,3,5,7,4,6]
[5,7,6,4,8,3,1,2]=>[2,1,3,8,4,6,7,5]
[5,7,4,8,3,1,6,2]=>[2,6,1,3,8,4,7,5]
[3,1,4,7,5,2,8,6]=>[6,8,2,5,7,4,1,3]
[3,1,4,7,2,8,6,5]=>[5,6,8,2,7,4,1,3]
[3,1,5,4,8,6,2,7]=>[7,2,6,8,4,5,1,3]
[3,1,7,5,4,6,2,8]=>[8,2,6,4,5,7,1,3]
[2,5,6,3,7,4,1,8]=>[8,1,4,7,3,6,5,2]
[4,3,1,7,5,6,2,8]=>[8,2,6,5,7,1,3,4]
[4,3,1,5,8,6,2,7]=>[7,2,6,8,5,1,3,4]
[4,3,5,1,8,7,2,6]=>[6,2,7,8,1,5,3,4]
[2,5,3,1,6,7,4,8]=>[8,4,7,6,1,3,5,2]
[2,5,3,6,1,8,4,7]=>[7,4,8,1,6,3,5,2]
[2,5,6,4,1,8,3,7]=>[7,3,8,1,4,6,5,2]
[4,6,2,1,5,7,3,8]=>[8,3,7,5,1,2,6,4]
[4,8,1,5,7,3,2,6]=>[6,2,3,7,5,1,8,4]
[6,4,2,7,8,3,1,5]=>[5,1,3,8,7,2,4,6]
[2,5,6,7,4,1,8,3]=>[3,8,1,4,7,6,5,2]
[2,5,6,8,3,1,7,4]=>[4,7,1,3,8,6,5,2]
[7,1,4,5,3,6,2,8]=>[8,2,6,3,5,4,1,7]
[1,7,2,4,5,3,6,8]=>[8,6,3,5,4,2,7,1]
[1,7,4,5,3,2,6,8]=>[8,6,2,3,5,4,7,1]
[1,6,4,7,3,5,2,8]=>[8,2,5,3,7,4,6,1]
[3,5,6,4,8,2,1,7]=>[7,1,2,8,4,6,5,3]
[1,6,4,7,5,2,3,8]=>[8,3,2,5,7,4,6,1]
[1,5,2,6,7,4,3,8]=>[8,3,4,7,6,2,5,1]
[8,5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5,8]
[2,5,4,7,8,3,1,6]=>[6,1,3,8,7,4,5,2]
[5,6,4,8,2,1,3,7]=>[7,3,1,2,8,4,6,5]
[6,4,5,8,2,3,1,7]=>[7,1,3,2,8,5,4,6]
[8,6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6,8]
[7,5,8,1,4,6,3,2]=>[2,3,6,4,1,8,5,7]
[4,2,6,7,8,1,5,3]=>[3,5,1,8,7,6,2,4]
[4,7,8,2,5,1,6,3]=>[3,6,1,5,2,8,7,4]
[3,7,8,2,5,1,4,6]=>[6,4,1,5,2,8,7,3]
[3,4,6,7,8,1,5,2]=>[2,5,1,8,7,6,4,3]
[2,5,3,7,8,1,4,6]=>[6,4,1,8,7,3,5,2]
[5,6,3,8,1,2,4,7]=>[7,4,2,1,8,3,6,5]
[4,7,3,8,5,1,6,2]=>[2,6,1,5,8,3,7,4]
[4,3,2,7,5,8,1,6]=>[6,1,8,5,7,2,3,4]
[4,8,5,3,2,6,1,7]=>[7,1,6,2,3,5,8,4]
[2,8,4,5,3,6,1,7]=>[7,1,6,3,5,4,8,2]
[8,1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1,8]
[4,7,3,8,2,1,6,5]=>[5,6,1,2,8,3,7,4]
[7,8,4,1,3,6,5,2]=>[2,5,6,3,1,4,8,7]
[8,6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6,8]
[7,3,8,2,4,1,6,5]=>[5,6,1,4,2,8,3,7]
[6,2,3,7,8,1,5,4]=>[4,5,1,8,7,3,2,6]
[6,3,7,8,1,5,4,2]=>[2,4,5,1,8,7,3,6]
[2,6,3,7,8,1,5,4]=>[4,5,1,8,7,3,6,2]
[7,5,8,1,6,4,2,3]=>[3,2,4,6,1,8,5,7]
[1,4,7,3,8,5,2,6]=>[6,2,5,8,3,7,4,1]
[8,1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1,8]
[1,4,8,5,3,2,6,7]=>[7,6,2,3,5,8,4,1]
[8,2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2,8]
[2,7,4,3,8,5,1,6]=>[6,1,5,8,3,4,7,2]
[5,2,1,7,8,4,3,6]=>[6,3,4,8,7,1,2,5]
[2,7,1,8,6,4,5,3]=>[3,5,4,6,8,1,7,2]
[2,4,7,6,3,8,5,1]=>[1,5,8,3,6,7,4,2]
[7,2,6,1,8,3,5,4]=>[4,5,3,8,1,6,2,7]
[6,3,8,7,1,5,2,4]=>[4,2,5,1,7,8,3,6]
[6,8,2,7,3,1,5,4]=>[4,5,1,3,7,2,8,6]
[6,8,1,4,7,5,3,2]=>[2,3,5,7,4,1,8,6]
[7,6,1,2,8,5,3,4]=>[4,3,5,8,2,1,6,7]
[7,3,1,8,4,6,5,2]=>[2,5,6,4,8,1,3,7]
[7,2,4,8,3,6,5,1]=>[1,5,6,3,8,4,2,7]
[8,2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2,8]
[6,1,2,8,5,3,7,4]=>[4,7,3,5,8,2,1,6]
[4,1,8,7,3,5,6,2]=>[2,6,5,3,7,8,1,4]
[4,1,5,8,3,6,7,2]=>[2,7,6,3,8,5,1,4]
[4,7,2,6,8,3,1,5]=>[5,1,3,8,6,2,7,4]
[7,5,2,8,1,6,3,4]=>[4,3,6,1,8,2,5,7]
[4,8,5,7,1,3,2,6]=>[6,2,3,1,7,5,8,4]
[3,4,7,2,1,5,8,6]=>[6,8,5,1,2,7,4,3]
[4,8,2,7,1,3,6,5]=>[5,6,3,1,7,2,8,4]
[5,2,1,8,7,4,6,3]=>[3,6,4,7,8,1,2,5]
[8,2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2,8]
[4,2,5,8,3,6,7,1]=>[1,7,6,3,8,5,2,4]
[5,1,6,8,3,2,7,4]=>[4,7,2,3,8,6,1,5]
[4,1,5,6,8,2,7,3]=>[3,7,2,8,6,5,1,4]
[4,7,8,3,1,2,5,6]=>[6,5,2,1,3,8,7,4]
[5,7,8,2,4,1,3,6]=>[6,3,1,4,2,8,7,5]
[4,5,2,8,7,3,1,6]=>[6,1,3,7,8,2,5,4]
[5,8,2,3,6,4,7,1]=>[1,7,4,6,3,2,8,5]
[4,5,7,6,8,2,3,1]=>[1,3,2,8,6,7,5,4]
[4,8,5,3,1,6,7,2]=>[2,7,6,1,3,5,8,4]
[6,2,3,1,7,8,5,4]=>[4,5,8,7,1,3,2,6]
[5,2,3,8,7,4,6,1]=>[1,6,4,7,8,3,2,5]
[5,2,3,6,8,4,7,1]=>[1,7,4,8,6,3,2,5]
[8,2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2,8]
[6,2,1,7,8,4,3,5]=>[5,3,4,8,7,1,2,6]
[5,2,1,3,8,4,7,6]=>[6,7,4,8,3,1,2,5]
[5,2,7,8,4,1,6,3]=>[3,6,1,4,8,7,2,5]
[6,2,7,8,3,5,4,1]=>[1,4,5,3,8,7,2,6]
[5,2,8,6,4,1,7,3]=>[3,7,1,4,6,8,2,5]
[8,1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1,8]
[5,1,2,8,4,3,7,6]=>[6,7,3,4,8,2,1,5]
[5,7,8,3,4,1,6,2]=>[2,6,1,4,3,8,7,5]
[6,7,8,3,2,5,4,1]=>[1,4,5,2,3,8,7,6]
[5,7,2,6,4,8,1,3]=>[3,1,8,4,6,2,7,5]
[6,2,3,4,7,8,5,1]=>[1,5,8,7,4,3,2,6]
[7,2,1,8,4,3,5,6]=>[6,5,3,4,8,1,2,7]
[6,2,1,3,7,5,8,4]=>[4,8,5,7,3,1,2,6]
[6,8,7,3,4,5,1,2]=>[2,1,5,4,3,7,8,6]
[6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]
[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]
[7,2,4,3,5,8,1,6]=>[6,1,8,5,3,4,2,7]
[1,3,7,4,2,5,6,8]=>[8,6,5,2,4,7,3,1]
[1,3,8,6,4,2,7,5]=>[5,7,2,4,6,8,3,1]
[1,3,5,8,4,2,7,6]=>[6,7,2,4,8,5,3,1]
[1,3,8,4,5,2,7,6]=>[6,7,2,5,4,8,3,1]
[1,7,6,2,3,5,4,8]=>[8,4,5,3,2,6,7,1]
[1,7,6,4,2,3,5,8]=>[8,5,3,2,4,6,7,1]
[1,3,2,5,8,6,4,7]=>[7,4,6,8,5,2,3,1]
[6,1,4,7,2,8,5,3]=>[3,5,8,2,7,4,1,6]
[1,7,5,8,4,2,3,6]=>[6,3,2,4,8,5,7,1]
[1,6,7,2,4,8,5,3]=>[3,5,8,4,2,7,6,1]
[5,7,2,4,3,6,8,1]=>[1,8,6,3,4,2,7,5]
[5,7,3,4,6,2,8,1]=>[1,8,2,6,4,3,7,5]
[2,8,3,6,1,7,4,5]=>[5,4,7,1,6,3,8,2]
[4,3,1,8,5,2,6,7]=>[7,6,2,5,8,1,3,4]
[1,8,4,5,6,2,7,3]=>[3,7,2,6,5,4,8,1]
[7,3,8,2,1,4,5,6]=>[6,5,4,1,2,8,3,7]
[8,2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2,8]
[6,3,5,8,1,7,4,2]=>[2,4,7,1,8,5,3,6]
[3,5,4,8,6,1,7,2]=>[2,7,1,6,8,4,5,3]
[7,5,2,3,8,4,6,1]=>[1,6,4,8,3,2,5,7]
[2,7,5,1,4,8,3,6]=>[6,3,8,4,1,5,7,2]
[5,7,6,1,2,8,3,4]=>[4,3,8,2,1,6,7,5]
[7,4,6,5,1,8,2,3]=>[3,2,8,1,5,6,4,7]
[2,8,4,1,7,3,6,5]=>[5,6,3,7,1,4,8,2]
[7,1,3,2,6,8,4,5]=>[5,4,8,6,2,3,1,7]
[4,3,5,2,8,1,6,7]=>[7,6,1,8,2,5,3,4]
[1,7,3,8,2,4,6,5]=>[5,6,4,2,8,3,7,1]
[2,7,4,8,5,3,1,6]=>[6,1,3,5,8,4,7,2]
[6,1,3,8,4,2,7,5]=>[5,7,2,4,8,3,1,6]
[5,4,1,8,6,2,7,3]=>[3,7,2,6,8,1,4,5]
[5,4,6,8,1,3,2,7]=>[7,2,3,1,8,6,4,5]
[3,6,1,5,8,4,7,2]=>[2,7,4,8,5,1,6,3]
[6,4,8,3,5,7,2,1]=>[1,2,7,5,3,8,4,6]
[3,5,8,2,4,1,7,6]=>[6,7,1,4,2,8,5,3]
[7,2,8,4,1,3,6,5]=>[5,6,3,1,4,8,2,7]
[5,8,1,2,4,3,6,7]=>[7,6,3,4,2,1,8,5]
[3,6,5,4,7,1,2,8]=>[8,2,1,7,4,5,6,3]
[8,4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4,8]
[6,1,7,4,3,2,5,8]=>[8,5,2,3,4,7,1,6]
[2,7,4,6,3,5,1,8]=>[8,1,5,3,6,4,7,2]
[4,7,2,6,1,5,3,8]=>[8,3,5,1,6,2,7,4]
[8,3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3,8]
[2,8,4,7,3,1,6,5]=>[5,6,1,3,7,4,8,2]
[2,8,7,3,6,1,5,4]=>[4,5,1,6,3,7,8,2]
[7,1,8,5,4,6,3,2]=>[2,3,6,4,5,8,1,7]
[7,6,2,5,1,8,4,3]=>[3,4,8,1,5,2,6,7]
[1,8,4,7,5,3,6,2]=>[2,6,3,5,7,4,8,1]
[6,5,2,8,4,1,7,3]=>[3,7,1,4,8,2,5,6]
[2,8,5,7,1,4,6,3]=>[3,6,4,1,7,5,8,2]
[4,1,5,8,3,7,2,6]=>[6,2,7,3,8,5,1,4]
[2,6,8,5,7,1,4,3]=>[3,4,1,7,5,8,6,2]
[8,6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6,8]
[1,5,4,6,8,3,7,2]=>[2,7,3,8,6,4,5,1]
[8,4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4,8]
[4,1,5,2,3,8,7,6]=>[6,7,8,3,2,5,1,4]
[1,7,6,8,3,5,2,4]=>[4,2,5,3,8,6,7,1]
[1,4,8,3,5,7,2,6]=>[6,2,7,5,3,8,4,1]
[7,4,6,3,5,8,2,1]=>[1,2,8,5,3,6,4,7]
[3,7,2,6,1,8,5,4]=>[4,5,8,1,6,2,7,3]
[7,3,6,2,8,5,1,4]=>[4,1,5,8,2,6,3,7]
[6,3,5,8,2,4,7,1]=>[1,7,4,2,8,5,3,6]
[1,6,8,3,5,7,2,4]=>[4,2,7,5,3,8,6,1]
[1,4,8,6,3,7,5,2]=>[2,5,7,3,6,8,4,1]
[4,8,3,7,5,2,6,1]=>[1,6,2,5,7,3,8,4]
[2,8,7,1,4,6,3,5]=>[5,3,6,4,1,7,8,2]
[6,5,8,2,4,7,1,3]=>[3,1,7,4,2,8,5,6]
[4,3,8,6,2,7,5,1]=>[1,5,7,2,6,8,3,4]
[1,8,5,3,7,4,2,6]=>[6,2,4,7,3,5,8,1]
[6,8,1,3,5,2,4,7]=>[7,4,2,5,3,1,8,6]
[7,5,6,2,8,4,3,1]=>[1,3,4,8,2,6,5,7]
[8,6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6,8]
[8,3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3,8]
[5,7,6,2,8,1,4,3]=>[3,4,1,8,2,6,7,5]
[8,6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6,8]
[4,3,8,7,5,1,2,6]=>[6,2,1,5,7,8,3,4]
[6,3,8,1,2,5,4,7]=>[7,4,5,2,1,8,3,6]
[8,2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2,8]
[8,1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1,8]
[7,8,2,6,3,4,5,1]=>[1,5,4,3,6,2,8,7]
[7,6,4,8,5,3,2,1]=>[1,2,3,5,8,4,6,7]
[7,6,5,3,8,4,2,1]=>[1,2,4,8,3,5,6,7]
[7,6,5,4,2,8,3,1]=>[1,3,8,2,4,5,6,7]
[7,5,4,8,6,3,2,1]=>[1,2,3,6,8,4,5,7]
[7,6,5,3,2,8,4,1]=>[1,4,8,2,3,5,6,7]
[1,5,7,2,4,3,6,8]=>[8,6,3,4,2,7,5,1]
[1,6,5,3,2,4,7,8]=>[8,7,4,2,3,5,6,1]
[1,7,2,4,6,5,3,8]=>[8,3,5,6,4,2,7,1]
[1,4,7,2,6,5,3,8]=>[8,3,5,6,2,7,4,1]
[1,2,6,8,7,4,3,5]=>[5,3,4,7,8,6,2,1]
[1,2,7,4,3,5,8,6]=>[6,8,5,3,4,7,2,1]
[1,6,2,8,7,4,3,5]=>[5,3,4,7,8,2,6,1]
[1,7,4,2,3,5,8,6]=>[6,8,5,3,2,4,7,1]
[1,8,5,2,3,6,4,7]=>[7,4,6,3,2,5,8,1]
[1,7,4,8,5,2,3,6]=>[6,3,2,5,8,4,7,1]
[1,4,7,5,2,8,6,3]=>[3,6,8,2,5,7,4,1]
[1,6,3,7,4,2,8,5]=>[5,8,2,4,7,3,6,1]
[1,8,5,2,7,4,3,6]=>[6,3,4,7,2,5,8,1]
[1,4,8,7,5,3,2,6]=>[6,2,3,5,7,8,4,1]
[1,2,5,8,6,3,7,4]=>[4,7,3,6,8,5,2,1]
[1,2,4,7,5,8,6,3]=>[3,6,8,5,7,4,2,1]
[1,5,8,7,6,2,4,3]=>[3,4,2,6,7,8,5,1]
[1,3,5,8,7,6,2,4]=>[4,2,6,7,8,5,3,1]
[1,5,2,4,3,6,8,7]=>[7,8,6,3,4,2,5,1]
[1,6,8,7,5,3,2,4]=>[4,2,3,5,7,8,6,1]
[1,2,5,7,4,3,8,6]=>[6,8,3,4,7,5,2,1]
[1,5,3,2,6,8,7,4]=>[4,7,8,6,2,3,5,1]
[1,4,2,6,8,7,5,3]=>[3,5,7,8,6,2,4,1]
[1,5,8,6,3,2,7,4]=>[4,7,2,3,6,8,5,1]
[1,8,5,2,6,3,4,7]=>[7,4,3,6,2,5,8,1]
[1,7,4,6,3,2,8,5]=>[5,8,2,3,6,4,7,1]
[1,6,3,2,8,5,4,7]=>[7,4,5,8,2,3,6,1]
[1,3,8,6,4,2,5,7]=>[7,5,2,4,6,8,3,1]
[1,5,7,4,2,3,8,6]=>[6,8,3,2,4,7,5,1]
[6,3,7,5,4,2,8,1]=>[1,8,2,4,5,7,3,6]
[7,5,2,6,3,4,8,1]=>[1,8,4,3,6,2,5,7]
[3,8,2,7,5,4,1,6]=>[6,1,4,5,7,2,8,3]
[5,4,8,6,7,1,2,3]=>[3,2,1,7,6,8,4,5]
[8,6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6,8]
[2,7,3,6,8,5,4,1]=>[1,4,5,8,6,3,7,2]
[3,7,2,8,1,6,4,5]=>[5,4,6,1,8,2,7,3]
[6,3,1,2,5,8,7,4]=>[4,7,8,5,2,1,3,6]
[8,5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5,8]
[6,8,4,2,7,3,5,1]=>[1,5,3,7,2,4,8,6]
[2,5,8,7,1,4,3,6]=>[6,3,4,1,7,8,5,2]
[6,1,5,8,2,4,3,7]=>[7,3,4,2,8,5,1,6]
[3,4,6,5,8,2,7,1]=>[1,7,2,8,5,6,4,3]
[5,2,4,1,6,7,8,3]=>[3,8,7,6,1,4,2,5]
[4,2,7,1,6,8,3,5]=>[5,3,8,6,1,7,2,4]
[5,2,8,6,4,7,1,3]=>[3,1,7,4,6,8,2,5]
[4,7,5,1,6,3,8,2]=>[2,8,3,6,1,5,7,4]
[8,5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5,8]
[8,2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2,8]
[4,3,1,6,7,5,8,2]=>[2,8,5,7,6,1,3,4]
[8,5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5,8]
[6,1,3,4,7,2,8,5]=>[5,8,2,7,4,3,1,6]
[8,4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4,8]
[8,4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4,8]
[8,3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3,8]
[6,3,4,7,2,1,5,8]=>[8,5,1,2,7,4,3,6]
[5,3,6,7,2,8,1,4]=>[4,1,8,2,7,6,3,5]
[3,4,2,6,1,8,7,5]=>[5,7,8,1,6,2,4,3]
[8,6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6,8]
[5,3,6,7,2,8,4,1]=>[1,4,8,2,7,6,3,5]
[5,3,6,7,2,4,8,1]=>[1,8,4,2,7,6,3,5]
[5,3,6,7,2,4,1,8]=>[8,1,4,2,7,6,3,5]
[3,8,2,5,6,7,4,1]=>[1,4,7,6,5,2,8,3]
[3,8,4,1,6,7,2,5]=>[5,2,7,6,1,4,8,3]
[5,3,6,7,8,1,2,4]=>[4,2,1,8,7,6,3,5]
[2,8,3,6,1,4,7,5]=>[5,7,4,1,6,3,8,2]
[8,6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6,8]
[8,6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6,8]
[5,6,2,7,1,4,3,8]=>[8,3,4,1,7,2,6,5]
[5,3,6,7,4,1,2,8]=>[8,2,1,4,7,6,3,5]
[8,6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6,8]
[8,6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6,8]
[5,1,8,2,6,7,4,3]=>[3,4,7,6,2,8,1,5]
[3,8,5,1,6,7,4,2]=>[2,4,7,6,1,5,8,3]
[4,1,5,6,7,3,8,2]=>[2,8,3,7,6,5,1,4]
[4,1,5,6,7,3,2,8]=>[8,2,3,7,6,5,1,4]
[2,8,1,5,6,7,4,3]=>[3,4,7,6,5,1,8,2]
[1,5,8,2,6,7,4,3]=>[3,4,7,6,2,8,5,1]
[5,8,6,1,7,4,3,2]=>[2,3,4,7,1,6,8,5]
[8,5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5,8]
[8,5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5,8]
[7,1,3,6,5,2,8,4]=>[4,8,2,5,6,3,1,7]
[8,2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2,8]
[1,4,7,5,2,3,8,6]=>[6,8,3,2,5,7,4,1]
[6,1,7,5,4,2,8,3]=>[3,8,2,4,5,7,1,6]
[2,7,3,6,5,1,8,4]=>[4,8,1,5,6,3,7,2]
[8,6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6,8]
[5,7,6,2,4,8,1,3]=>[3,1,8,4,2,6,7,5]
[3,7,5,6,4,8,1,2]=>[2,1,8,4,6,5,7,3]
[7,6,8,1,3,5,4,2]=>[2,4,5,3,1,8,6,7]
[2,8,4,6,1,7,5,3]=>[3,5,7,1,6,4,8,2]
[2,8,6,4,7,3,5,1]=>[1,5,3,7,4,6,8,2]
[8,7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7,8]
[3,5,8,6,7,1,4,2]=>[2,4,1,7,6,8,5,3]
[1,2,4,6,8,5,3,7]=>[7,3,5,8,6,4,2,1]
[3,1,5,8,6,2,4,7]=>[7,4,2,6,8,5,1,3]
[2,5,4,6,8,1,3,7]=>[7,3,1,8,6,4,5,2]
[6,5,2,4,7,8,1,3]=>[3,1,8,7,4,2,5,6]
[7,2,5,8,6,4,1,3]=>[3,1,4,6,8,5,2,7]
[5,2,8,3,4,7,6,1]=>[1,6,7,4,3,8,2,5]
[2,4,3,8,7,1,6,5]=>[5,6,1,7,8,3,4,2]
[1,5,8,7,4,2,6,3]=>[3,6,2,4,7,8,5,1]
[6,8,7,5,4,3,1,2]=>[2,1,3,4,5,7,8,6]
[5,3,4,8,6,2,7,1]=>[1,7,2,6,8,4,3,5]
[4,5,2,6,3,8,7,1]=>[1,7,8,3,6,2,5,4]
[4,3,5,8,6,2,7,1]=>[1,7,2,6,8,5,3,4]
[3,4,5,8,6,2,7,1]=>[1,7,2,6,8,5,4,3]
[5,2,6,3,4,8,7,1]=>[1,7,8,4,3,6,2,5]
[7,6,1,5,2,4,8,3]=>[3,8,4,2,5,1,6,7]
[5,4,2,3,6,1,8,7]=>[7,8,1,6,3,2,4,5]
[4,1,7,3,2,6,8,5]=>[5,8,6,2,3,7,1,4]
[6,1,8,5,4,7,2,3]=>[3,2,7,4,5,8,1,6]
[5,1,7,4,3,6,8,2]=>[2,8,6,3,4,7,1,5]
[8,1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1,8]
[4,3,7,6,8,2,1,5]=>[5,1,2,8,6,7,3,4]
[8,1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1,8]
[3,2,7,1,5,6,8,4]=>[4,8,6,5,1,7,2,3]
[6,1,8,5,2,7,3,4]=>[4,3,7,2,5,8,1,6]
[8,7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7,8]
[6,5,2,4,7,1,8,3]=>[3,8,1,7,4,2,5,6]
[5,4,2,3,7,1,8,6]=>[6,8,1,7,3,2,4,5]
[8,7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7,8]
[5,4,1,3,7,2,8,6]=>[6,8,2,7,3,1,4,5]
[6,5,1,4,7,3,8,2]=>[2,8,3,7,4,1,5,6]
[7,6,1,5,8,4,2,3]=>[3,2,4,8,5,1,6,7]
[8,6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6,8]
[4,7,8,3,2,6,5,1]=>[1,5,6,2,3,8,7,4]
[8,3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3,8]
[8,4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4,8]
[3,1,8,7,5,2,4,6]=>[6,4,2,5,7,8,1,3]
[6,5,8,7,2,4,3,1]=>[1,3,4,2,7,8,5,6]
[5,4,6,1,8,3,2,7]=>[7,2,3,8,1,6,4,5]
[4,3,6,5,8,2,1,7]=>[7,1,2,8,5,6,3,4]
[7,6,3,2,8,5,4,1]=>[1,4,5,8,2,3,6,7]
[3,2,6,8,7,1,4,5]=>[5,4,1,7,8,6,2,3]
[3,8,2,7,6,1,4,5]=>[5,4,1,6,7,2,8,3]
[2,4,5,1,8,7,3,6]=>[6,3,7,8,1,5,4,2]
[4,3,7,1,8,5,2,6]=>[6,2,5,8,1,7,3,4]
[3,7,6,8,2,1,4,5]=>[5,4,1,2,8,6,7,3]
[7,4,2,6,1,8,3,5]=>[5,3,8,1,6,2,4,7]
[7,4,6,1,8,3,2,5]=>[5,2,3,8,1,6,4,7]
[3,6,8,7,2,1,4,5]=>[5,4,1,2,7,8,6,3]
[3,8,7,2,5,6,1,4]=>[4,1,6,5,2,7,8,3]
[3,2,8,5,6,7,1,4]=>[4,1,7,6,5,8,2,3]
[7,3,6,2,5,8,1,4]=>[4,1,8,5,2,6,3,7]
[8,3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3,8]
[3,7,6,2,8,1,4,5]=>[5,4,1,8,2,6,7,3]
[7,4,2,1,6,8,3,5]=>[5,3,8,6,1,2,4,7]
[7,3,1,8,5,4,2,6]=>[6,2,4,5,8,1,3,7]
[6,8,3,2,7,1,4,5]=>[5,4,1,7,2,3,8,6]
[4,7,3,1,8,5,2,6]=>[6,2,5,8,1,3,7,4]
[8,3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3,8]
[3,7,2,5,6,8,1,4]=>[4,1,8,6,5,2,7,3]
[4,6,8,2,1,7,3,5]=>[5,3,7,1,2,8,6,4]
[3,7,8,2,5,6,1,4]=>[4,1,6,5,2,8,7,3]
[7,5,1,4,2,3,6,8]=>[8,6,3,2,4,1,5,7]
[7,8,6,1,2,4,5,3]=>[3,5,4,2,1,6,8,7]
[1,5,3,4,7,8,6,2]=>[2,6,8,7,4,3,5,1]
[5,1,2,4,7,8,6,3]=>[3,6,8,7,4,2,1,5]
[5,1,7,8,6,2,3,4]=>[4,3,2,6,8,7,1,5]
[8,5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5,8]
[7,5,1,2,4,6,8,3]=>[3,8,6,4,2,1,5,7]
[6,1,5,2,7,3,4,8]=>[8,4,3,7,2,5,1,6]
[7,1,2,6,4,5,8,3]=>[3,8,5,4,6,2,1,7]
[1,7,3,6,4,5,8,2]=>[2,8,5,4,6,3,7,1]
[1,8,3,6,4,5,7,2]=>[2,7,5,4,6,3,8,1]
[8,1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1,8]
[7,1,6,2,5,3,4,8]=>[8,4,3,5,2,6,1,7]
[8,1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1,8]
[8,1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1,8]
[8,1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1,8]
[1,8,3,7,4,5,6,2]=>[2,6,5,4,7,3,8,1]
[8,1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1,8]
[7,3,1,2,6,4,5,8]=>[8,5,4,6,2,1,3,7]
[3,1,2,8,5,6,7,4]=>[4,7,6,5,8,2,1,3]
[6,3,1,2,7,4,5,8]=>[8,5,4,7,2,1,3,6]
[6,1,7,4,2,3,5,8]=>[8,5,3,2,4,7,1,6]
[1,7,3,4,6,8,5,2]=>[2,5,8,6,4,3,7,1]
[1,7,3,8,4,5,6,2]=>[2,6,5,4,8,3,7,1]
[7,1,8,2,5,3,4,6]=>[6,4,3,5,2,8,1,7]
[6,1,7,2,5,3,4,8]=>[8,4,3,5,2,7,1,6]
[5,1,7,2,6,3,4,8]=>[8,4,3,6,2,7,1,5]
[5,1,8,2,6,3,4,7]=>[7,4,3,6,2,8,1,5]
[1,6,3,7,4,5,8,2]=>[2,8,5,4,7,3,6,1]
[2,5,7,3,4,1,8,6]=>[6,8,1,4,3,7,5,2]
[2,4,7,3,5,1,6,8]=>[8,6,1,5,3,7,4,2]
[2,5,8,4,3,6,1,7]=>[7,1,6,3,4,8,5,2]
[3,7,2,8,5,4,1,6]=>[6,1,4,5,8,2,7,3]
[2,4,8,6,3,5,1,7]=>[7,1,5,3,6,8,4,2]
[2,3,7,5,4,1,6,8]=>[8,6,1,4,5,7,3,2]
[3,4,6,2,1,5,8,7]=>[7,8,5,1,2,6,4,3]
[3,4,7,2,1,6,5,8]=>[8,5,6,1,2,7,4,3]
[3,6,8,5,4,1,2,7]=>[7,2,1,4,5,8,6,3]
[2,6,8,3,5,1,4,7]=>[7,4,1,5,3,8,6,2]
[2,5,8,3,4,1,7,6]=>[6,7,1,4,3,8,5,2]
[3,5,8,4,2,1,7,6]=>[6,7,1,2,4,8,5,3]
[2,3,6,1,5,8,4,7]=>[7,4,8,5,1,6,3,2]
[2,3,7,1,6,5,8,4]=>[4,8,5,6,1,7,3,2]
[2,4,7,1,3,6,8,5]=>[5,8,6,3,1,7,4,2]
[5,4,7,8,1,3,2,6]=>[6,2,3,1,8,7,4,5]
[4,6,3,8,1,5,2,7]=>[7,2,5,1,8,3,6,4]
[2,5,7,1,4,6,3,8]=>[8,3,6,4,1,7,5,2]
[2,4,7,1,6,3,5,8]=>[8,5,3,6,1,7,4,2]
[2,3,7,1,6,5,4,8]=>[8,4,5,6,1,7,3,2]
[2,5,7,1,4,3,6,8]=>[8,6,3,4,1,7,5,2]
[2,5,7,3,1,4,6,8]=>[8,6,4,1,3,7,5,2]
[3,4,7,2,1,6,8,5]=>[5,8,6,1,2,7,4,3]
[4,6,3,7,1,5,2,8]=>[8,2,5,1,7,3,6,4]
[5,7,3,2,8,1,4,6]=>[6,4,1,8,2,3,7,5]
[4,6,3,7,1,5,8,2]=>[2,8,5,1,7,3,6,4]
[3,6,5,7,1,8,2,4]=>[4,2,8,1,7,5,6,3]
[2,6,5,7,1,8,4,3]=>[3,4,8,1,7,5,6,2]
[3,6,8,5,4,1,7,2]=>[2,7,1,4,5,8,6,3]
[2,6,8,3,5,1,7,4]=>[4,7,1,5,3,8,6,2]
[5,4,7,8,1,3,6,2]=>[2,6,3,1,8,7,4,5]
[2,5,7,1,4,6,8,3]=>[3,8,6,4,1,7,5,2]
[2,4,7,1,6,3,8,5]=>[5,8,3,6,1,7,4,2]
[2,4,7,1,6,8,3,5]=>[5,3,8,6,1,7,4,2]
[2,6,5,8,1,7,4,3]=>[3,4,7,1,8,5,6,2]
[2,4,8,3,1,7,6,5]=>[5,6,7,1,3,8,4,2]
[5,3,6,4,7,1,2,8]=>[8,2,1,7,4,6,3,5]
[8,6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6,8]
[7,6,1,4,2,3,5,8]=>[8,5,3,2,4,1,6,7]
[6,5,1,4,7,2,3,8]=>[8,3,2,7,4,1,5,6]
[6,5,4,8,1,3,2,7]=>[7,2,3,1,8,4,5,6]
[7,5,4,8,3,1,2,6]=>[6,2,1,3,8,4,5,7]
[2,6,3,5,7,4,8,1]=>[1,8,4,7,5,3,6,2]
[2,6,3,5,8,4,1,7]=>[7,1,4,8,5,3,6,2]
[6,5,1,4,8,3,2,7]=>[7,2,3,8,4,1,5,6]
[7,6,5,2,4,8,3,1]=>[1,3,8,4,2,5,6,7]
[7,6,5,3,8,2,1,4]=>[4,1,2,8,3,5,6,7]
[8,7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7,8]
[8,7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7,8]
[2,8,3,7,4,1,5,6]=>[6,5,1,4,7,3,8,2]
[2,7,3,6,1,5,8,4]=>[4,8,5,1,6,3,7,2]
[7,6,1,4,2,5,8,3]=>[3,8,5,2,4,1,6,7]
[8,7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7,8]
[6,3,7,4,2,8,1,5]=>[5,1,8,2,4,7,3,6]
[6,3,7,4,1,5,8,2]=>[2,8,5,1,4,7,3,6]
[7,4,1,2,5,3,8,6]=>[6,8,3,5,2,1,4,7]
[2,4,3,7,5,1,8,6]=>[6,8,1,5,7,3,4,2]
[8,4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4,8]
[7,3,8,4,2,5,1,6]=>[6,1,5,2,4,8,3,7]
[7,3,8,4,2,5,6,1]=>[1,6,5,2,4,8,3,7]
[8,7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7,8]
[8,6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6,8]
[8,7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7,8]
[8,7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7,8]
[8,7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7,8]
[2,8,3,7,4,5,1,6]=>[6,1,5,4,7,3,8,2]
[2,8,3,7,4,5,6,1]=>[1,6,5,4,7,3,8,2]
[8,7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7,8]
[4,2,5,7,3,1,6,8]=>[8,6,1,3,7,5,2,4]
[8,2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2,8]
[8,4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4,8]
[4,3,7,5,2,1,6,8]=>[8,6,1,2,5,7,3,4]
[1,6,7,4,3,2,5,8]=>[8,5,2,3,4,7,6,1]
[1,4,5,7,3,2,6,8]=>[8,6,2,3,7,5,4,1]
[3,5,1,4,7,2,6,8]=>[8,6,2,7,4,1,5,3]
[2,5,1,4,7,8,3,6]=>[6,3,8,7,4,1,5,2]
[4,3,7,1,5,2,6,8]=>[8,6,2,5,1,7,3,4]
[3,5,1,6,4,2,7,8]=>[8,7,2,4,6,1,5,3]
[6,4,3,1,7,2,5,8]=>[8,5,2,7,1,3,4,6]
[6,2,7,4,3,1,5,8]=>[8,5,1,3,4,7,2,6]
[2,6,4,1,7,3,5,8]=>[8,5,3,7,1,4,6,2]
[6,3,2,7,4,5,1,8]=>[8,1,5,4,7,2,3,6]
[7,2,4,1,3,6,8,5]=>[5,8,6,3,1,4,2,7]
[6,3,2,5,7,1,4,8]=>[8,4,1,7,5,2,3,6]
[3,2,6,5,7,1,4,8]=>[8,4,1,7,5,6,2,3]
[1,7,3,2,5,6,4,8]=>[8,4,6,5,2,3,7,1]
[2,1,7,3,5,6,8,4]=>[4,8,6,5,3,7,1,2]
[2,1,6,3,5,7,8,4]=>[4,8,7,5,3,6,1,2]
[1,6,3,2,5,7,4,8]=>[8,4,7,5,2,3,6,1]
[1,4,6,5,2,7,3,8]=>[8,3,7,2,5,6,4,1]
[5,6,2,1,4,3,7,8]=>[8,7,3,4,1,2,6,5]
[2,5,1,6,4,3,7,8]=>[8,7,3,4,6,1,5,2]
[2,5,4,1,6,3,7,8]=>[8,7,3,6,1,4,5,2]
[4,6,1,5,2,7,3,8]=>[8,3,7,2,5,1,6,4]
[1,6,5,3,7,2,4,8]=>[8,4,2,7,3,5,6,1]
[1,2,4,7,5,3,6,8]=>[8,6,3,5,7,4,2,1]
[1,2,5,4,7,3,6,8]=>[8,6,3,7,4,5,2,1]
[1,2,5,3,4,8,7,6]=>[6,7,8,4,3,5,2,1]
[5,4,7,6,1,2,3,8]=>[8,3,2,1,6,7,4,5]
[4,3,7,6,5,1,2,8]=>[8,2,1,5,6,7,3,4]
[4,8,3,6,5,1,2,7]=>[7,2,1,5,6,3,8,4]
[5,3,7,6,1,8,2,4]=>[4,2,8,1,6,7,3,5]
[4,2,7,6,5,1,8,3]=>[3,8,1,5,6,7,2,4]
[5,2,7,6,1,8,4,3]=>[3,4,8,1,6,7,2,5]
[7,8,1,3,6,5,4,2]=>[2,4,5,6,3,1,8,7]
[5,8,2,6,1,7,4,3]=>[3,4,7,1,6,2,8,5]
[1,5,3,7,6,2,8,4]=>[4,8,2,6,7,3,5,1]
[1,6,3,7,2,8,5,4]=>[4,5,8,2,7,3,6,1]
[1,7,8,2,4,6,5,3]=>[3,5,6,4,2,8,7,1]
[1,5,8,3,6,2,7,4]=>[4,7,2,6,3,8,5,1]
[6,8,7,1,4,5,2,3]=>[3,2,5,4,1,7,8,6]
[7,8,1,4,6,5,2,3]=>[3,2,5,6,4,1,8,7]
[5,8,7,3,1,6,2,4]=>[4,2,6,1,3,7,8,5]
[1,2,6,4,7,3,8,5]=>[5,8,3,7,4,6,2,1]
[1,2,7,8,3,5,6,4]=>[4,6,5,3,8,7,2,1]
[1,6,8,7,2,4,5,3]=>[3,5,4,2,7,8,6,1]
[6,8,7,1,2,4,5,3]=>[3,5,4,2,1,7,8,6]
[4,8,7,6,2,1,5,3]=>[3,5,1,2,6,7,8,4]
[5,4,2,3,8,6,1,7]=>[7,1,6,8,3,2,4,5]
[2,6,3,4,1,5,8,7]=>[7,8,5,1,4,3,6,2]
[5,6,2,1,4,3,8,7]=>[7,8,3,4,1,2,6,5]
[5,6,2,3,4,1,8,7]=>[7,8,1,4,3,2,6,5]
[2,7,4,5,8,1,6,3]=>[3,6,1,8,5,4,7,2]
[2,6,1,8,5,4,3,7]=>[7,3,4,5,8,1,6,2]
[5,8,6,2,3,4,1,7]=>[7,1,4,3,2,6,8,5]
[5,8,6,2,1,4,3,7]=>[7,3,4,1,2,6,8,5]
[4,5,8,6,2,1,3,7]=>[7,3,1,2,6,8,5,4]
[6,4,7,5,8,2,1,3]=>[3,1,2,8,5,7,4,6]
[6,3,7,4,2,5,8,1]=>[1,8,5,2,4,7,3,6]
[4,8,2,1,5,7,6,3]=>[3,6,7,5,1,2,8,4]
[2,1,4,8,5,6,3,7]=>[7,3,6,5,8,4,1,2]
[4,8,5,6,2,1,3,7]=>[7,3,1,2,6,5,8,4]
[6,2,1,5,8,4,3,7]=>[7,3,4,8,5,1,2,6]
[7,5,6,2,4,3,8,1]=>[1,8,3,4,2,6,5,7]
[2,8,6,3,4,1,5,7]=>[7,5,1,4,3,6,8,2]
[2,6,3,4,1,8,5,7]=>[7,5,8,1,4,3,6,2]
[4,6,2,5,7,3,8,1]=>[1,8,3,7,5,2,6,4]
[4,2,8,5,3,6,1,7]=>[7,1,6,3,5,8,2,4]
[2,3,6,4,1,8,5,7]=>[7,5,8,1,4,6,3,2]
[2,3,6,7,8,4,1,5]=>[5,1,4,8,7,6,3,2]
[7,8,4,2,5,3,6,1]=>[1,6,3,5,2,4,8,7]
[6,2,4,5,8,1,7,3]=>[3,7,1,8,5,4,2,6]
[8,1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1,8]
[2,7,8,3,4,1,6,5]=>[5,6,1,4,3,8,7,2]
[2,1,7,8,4,3,6,5]=>[5,6,3,4,8,7,1,2]
[4,2,5,7,8,3,6,1]=>[1,6,3,8,7,5,2,4]
[7,8,3,5,6,2,4,1]=>[1,4,2,6,5,3,8,7]
[6,2,1,4,5,7,8,3]=>[3,8,7,5,4,1,2,6]
[2,1,7,8,4,5,6,3]=>[3,6,5,4,8,7,1,2]
[8,2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2,8]
[6,4,2,3,8,1,7,5]=>[5,7,1,8,3,2,4,6]
[6,5,4,2,1,8,3,7]=>[7,3,8,1,2,4,5,6]
[5,4,3,1,8,6,2,7]=>[7,2,6,8,1,3,4,5]
[7,6,5,3,1,2,8,4]=>[4,8,2,1,3,5,6,7]
[6,5,4,1,2,8,7,3]=>[3,7,8,2,1,4,5,6]
[6,5,3,2,1,8,4,7]=>[7,4,8,1,2,3,5,6]
[5,4,1,6,2,8,3,7]=>[7,3,8,2,6,1,4,5]
[4,3,1,8,6,5,2,7]=>[7,2,5,6,8,1,3,4]
[5,4,2,1,8,6,3,7]=>[7,3,6,8,1,2,4,5]
[4,1,6,5,2,8,3,7]=>[7,3,8,2,5,6,1,4]
[6,5,3,1,4,7,8,2]=>[2,8,7,4,1,3,5,6]
[6,2,3,1,7,8,4,5]=>[5,4,8,7,1,3,2,6]
[3,1,8,6,7,2,4,5]=>[5,4,2,7,6,8,1,3]
[6,5,1,4,2,3,7,8]=>[8,7,3,2,4,1,5,6]
[5,1,3,2,6,4,7,8]=>[8,7,4,6,2,3,1,5]
[4,7,8,2,3,6,1,5]=>[5,1,6,3,2,8,7,4]
[4,2,5,1,8,6,7,3]=>[3,7,6,8,1,5,2,4]
[7,5,8,1,4,2,6,3]=>[3,6,2,4,1,8,5,7]
[4,5,3,7,1,6,8,2]=>[2,8,6,1,7,3,5,4]
[4,2,8,5,3,6,7,1]=>[1,7,6,3,5,8,2,4]
[2,7,4,1,8,5,6,3]=>[3,6,5,8,1,4,7,2]
[5,2,8,1,4,7,6,3]=>[3,6,7,4,1,8,2,5]
[2,8,6,3,5,4,7,1]=>[1,7,4,5,3,6,8,2]
[3,5,2,8,6,4,7,1]=>[1,7,4,6,8,2,5,3]
[4,1,3,6,2,8,5,7]=>[7,5,8,2,6,3,1,4]
[5,2,4,7,6,1,8,3]=>[3,8,1,6,7,4,2,5]
[7,3,5,1,6,4,8,2]=>[2,8,4,6,1,5,3,7]
[7,5,2,3,6,1,4,8]=>[8,4,1,6,3,2,5,7]
[7,5,1,2,4,8,3,6]=>[6,3,8,4,2,1,5,7]
[6,2,5,8,4,7,1,3]=>[3,1,7,4,8,5,2,6]
[5,8,2,3,6,1,4,7]=>[7,4,1,6,3,2,8,5]
[5,1,4,7,2,6,8,3]=>[3,8,6,2,7,4,1,5]
[6,8,2,5,4,1,3,7]=>[7,3,1,4,5,2,8,6]
[7,1,6,3,2,4,5,8]=>[8,5,4,2,3,6,1,7]
[4,1,6,8,3,2,5,7]=>[7,5,2,3,8,6,1,4]
[1,6,5,8,2,3,7,4]=>[4,7,3,2,8,5,6,1]
[1,6,3,2,4,8,5,7]=>[7,5,8,4,2,3,6,1]
[2,5,7,1,6,4,8,3]=>[3,8,4,6,1,7,5,2]
[1,8,2,5,6,4,7,3]=>[3,7,4,6,5,2,8,1]
[2,4,8,3,7,5,1,6]=>[6,1,5,7,3,8,4,2]
[4,7,6,1,5,2,3,8]=>[8,3,2,5,1,6,7,4]
[3,7,4,6,1,8,5,2]=>[2,5,8,1,6,4,7,3]
[5,6,2,3,8,1,4,7]=>[7,4,1,8,3,2,6,5]
[5,6,1,2,4,7,3,8]=>[8,3,7,4,2,1,6,5]
[4,7,1,3,8,6,2,5]=>[5,2,6,8,3,1,7,4]
[2,7,1,4,8,5,6,3]=>[3,6,5,8,4,1,7,2]
[2,5,4,8,1,6,3,7]=>[7,3,6,1,8,4,5,2]
[1,6,3,4,7,2,8,5]=>[5,8,2,7,4,3,6,1]
[2,8,4,6,1,3,7,5]=>[5,7,3,1,6,4,8,2]
[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]
[8,3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3,8]
[8,5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5,8]
[5,8,2,7,6,1,4,3]=>[3,4,1,6,7,2,8,5]
[8,3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3,8]
[7,3,8,6,5,1,4,2]=>[2,4,1,5,6,8,3,7]
[6,2,4,7,5,3,8,1]=>[1,8,3,5,7,4,2,6]
[7,1,3,2,5,8,6,4]=>[4,6,8,5,2,3,1,7]
[2,6,3,7,5,4,8,1]=>[1,8,4,5,7,3,6,2]
[3,7,4,5,2,6,8,1]=>[1,8,6,2,5,4,7,3]
[7,1,3,4,5,8,6,2]=>[2,6,8,5,4,3,1,7]
[3,1,4,6,8,7,5,2]=>[2,5,7,8,6,4,1,3]
[2,7,5,1,4,8,6,3]=>[3,6,8,4,1,5,7,2]
[5,4,7,1,3,8,6,2]=>[2,6,8,3,1,7,4,5]
[7,8,4,6,2,1,3,5]=>[5,3,1,2,6,4,8,7]
[1,8,2,6,4,7,3,5]=>[5,3,7,4,6,2,8,1]
[2,8,5,1,4,7,3,6]=>[6,3,7,4,1,5,8,2]
[3,1,7,2,4,8,6,5]=>[5,6,8,4,2,7,1,3]
[1,6,7,5,2,8,4,3]=>[3,4,8,2,5,7,6,1]
[7,6,3,1,8,2,5,4]=>[4,5,2,8,1,3,6,7]
[8,1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1,8]
[8,1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1,8]
[7,2,6,5,8,4,3,1]=>[1,3,4,8,5,6,2,7]
[4,3,2,8,5,6,1,7]=>[7,1,6,5,8,2,3,4]
[2,7,3,8,4,5,1,6]=>[6,1,5,4,8,3,7,2]
[3,5,8,4,6,2,1,7]=>[7,1,2,6,4,8,5,3]
[8,5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5,8]
[3,4,8,5,6,2,7,1]=>[1,7,2,6,5,8,4,3]
[3,2,8,6,4,5,7,1]=>[1,7,5,4,6,8,2,3]
[5,8,2,3,4,6,1,7]=>[7,1,6,4,3,2,8,5]
[6,1,3,4,2,5,7,8]=>[8,7,5,2,4,3,1,6]
[1,5,6,3,2,4,7,8]=>[8,7,4,2,3,6,5,1]
[6,3,5,2,4,1,7,8]=>[8,7,1,4,2,5,3,6]
[7,8,3,5,2,4,6,1]=>[1,6,4,2,5,3,8,7]
[2,4,5,7,3,6,1,8]=>[8,1,6,3,7,5,4,2]
[2,5,3,1,6,4,7,8]=>[8,7,4,6,1,3,5,2]
[6,5,1,3,4,2,7,8]=>[8,7,2,4,3,1,5,6]
[5,7,4,3,2,6,1,8]=>[8,1,6,2,3,4,7,5]
[6,8,7,4,3,5,1,2]=>[2,1,5,3,4,7,8,6]
[2,6,7,8,4,3,5,1]=>[1,5,3,4,8,7,6,2]
[1,7,8,4,5,3,6,2]=>[2,6,3,5,4,8,7,1]
[7,1,8,5,3,4,6,2]=>[2,6,4,3,5,8,1,7]
[5,7,4,2,1,6,3,8]=>[8,3,6,1,2,4,7,5]
[5,1,4,7,3,6,2,8]=>[8,2,6,3,7,4,1,5]
[7,4,8,6,3,5,2,1]=>[1,2,5,3,6,8,4,7]
[4,7,6,3,5,2,1,8]=>[8,1,2,5,3,6,7,4]
[1,6,5,8,7,4,2,3]=>[3,2,4,7,8,5,6,1]
[6,1,3,8,7,5,2,4]=>[4,2,5,7,8,3,1,6]
[7,6,2,1,8,3,5,4]=>[4,5,3,8,1,2,6,7]
[7,1,3,6,8,2,5,4]=>[4,5,2,8,6,3,1,7]
[1,7,5,6,8,2,4,3]=>[3,4,2,8,6,5,7,1]
[3,6,7,5,8,2,4,1]=>[1,4,2,8,5,7,6,3]
[1,7,4,5,2,8,6,3]=>[3,6,8,2,5,4,7,1]
[7,5,4,2,1,8,6,3]=>[3,6,8,1,2,4,5,7]
[3,6,7,4,2,8,5,1]=>[1,5,8,2,4,7,6,3]
[4,6,3,2,7,8,5,1]=>[1,5,8,7,2,3,6,4]
[7,6,1,3,4,2,5,8]=>[8,5,2,4,3,1,6,7]
[7,8,2,6,4,5,3,1]=>[1,3,5,4,6,2,8,7]
[7,2,5,4,6,1,3,8]=>[8,3,1,6,4,5,2,7]
[7,1,2,4,5,6,3,8]=>[8,3,6,5,4,2,1,7]
[7,3,2,1,5,6,4,8]=>[8,4,6,5,1,2,3,7]
[3,6,2,1,7,5,4,8]=>[8,4,5,7,1,2,6,3]
[2,6,7,3,1,5,4,8]=>[8,4,5,1,3,7,6,2]
[2,1,6,4,7,5,3,8]=>[8,3,5,7,4,6,1,2]
[7,2,8,5,6,4,3,1]=>[1,3,4,6,5,8,2,7]
[7,6,8,5,4,1,3,2]=>[2,3,1,4,5,8,6,7]
[7,1,8,4,6,5,3,2]=>[2,3,5,6,4,8,1,7]
[7,8,6,3,1,5,4,2]=>[2,4,5,1,3,6,8,7]
[7,6,1,4,5,3,2,8]=>[8,2,3,5,4,1,6,7]
[7,1,5,6,4,3,2,8]=>[8,2,3,4,6,5,1,7]
[4,1,3,8,6,2,7,5]=>[5,7,2,6,8,3,1,4]
[3,5,8,2,1,6,7,4]=>[4,7,6,1,2,8,5,3]
[5,1,2,8,4,6,7,3]=>[3,7,6,4,8,2,1,5]
[5,6,3,2,8,1,7,4]=>[4,7,1,8,2,3,6,5]
[8,2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2,8]
[8,2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2,8]
[5,1,2,4,6,8,7,3]=>[3,7,8,6,4,2,1,5]
[8,2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2,8]
[5,1,6,4,7,3,2,8]=>[8,2,3,7,4,6,1,5]
[8,2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2,8]
[8,2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2,8]
[7,5,3,2,4,1,8,6]=>[6,8,1,4,2,3,5,7]
[7,1,2,3,6,8,4,5]=>[5,4,8,6,3,2,1,7]
[8,2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2,8]
[5,7,3,6,8,4,1,2]=>[2,1,4,8,6,3,7,5]
[7,1,6,8,5,3,4,2]=>[2,4,3,5,8,6,1,7]
[6,7,2,8,3,4,5,1]=>[1,5,4,3,8,2,7,6]
[3,7,8,6,5,4,1,2]=>[2,1,4,5,6,8,7,3]
[3,1,8,4,6,5,2,7]=>[7,2,5,6,4,8,1,3]
[4,1,3,8,6,5,2,7]=>[7,2,5,6,8,3,1,4]
[8,2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2,8]
[3,1,8,4,6,5,7,2]=>[2,7,5,6,4,8,1,3]
[7,6,2,8,3,1,5,4]=>[4,5,1,3,8,2,6,7]
[7,1,6,8,5,3,2,4]=>[4,2,3,5,8,6,1,7]
[7,1,6,4,8,3,2,5]=>[5,2,3,8,4,6,1,7]
[6,1,2,3,8,4,7,5]=>[5,7,4,8,3,2,1,6]
[6,5,2,4,3,1,8,7]=>[7,8,1,3,4,2,5,6]
[8,2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2,8]
[8,2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2,8]
[6,5,2,4,3,1,7,8]=>[8,7,1,3,4,2,5,6]
[8,1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1,8]
[8,1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1,8]
[8,1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1,8]
[8,1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1,8]
[8,6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6,8]
[8,6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6,8]
[8,6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6,8]
[8,6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6,8]
[8,6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6,8]
[8,6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6,8]
[8,6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6,8]
[8,6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6,8]
[8,6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6,8]
[8,6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6,8]
[8,6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6,8]
[8,6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6,8]
[8,6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6,8]
[8,6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6,8]
[8,6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6,8]
[8,6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6,8]
[8,6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6,8]
[8,6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6,8]
[8,6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6,8]
[8,6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6,8]
[8,6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6,8]
[8,6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6,8]
[3,4,7,5,8,2,6,1]=>[1,6,2,8,5,7,4,3]
[8,7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7,8]
[8,3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3,8]
[5,3,8,6,4,1,7,2]=>[2,7,1,4,6,8,3,5]
[7,4,5,1,2,8,6,3]=>[3,6,8,2,1,5,4,7]
[6,4,7,1,8,5,2,3]=>[3,2,5,8,1,7,4,6]
[5,7,4,2,3,8,6,1]=>[1,6,8,3,2,4,7,5]
[3,8,2,5,1,7,4,6]=>[6,4,7,1,5,2,8,3]
[5,8,4,2,3,7,1,6]=>[6,1,7,3,2,4,8,5]
[4,8,5,2,1,7,3,6]=>[6,3,7,1,2,5,8,4]
[8,5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5,8]
[6,8,7,5,2,4,1,3]=>[3,1,4,2,5,7,8,6]
[5,7,6,8,4,1,3,2]=>[2,3,1,4,8,6,7,5]
[7,3,1,6,8,5,4,2]=>[2,4,5,8,6,1,3,7]
[5,3,1,7,4,8,6,2]=>[2,6,8,4,7,1,3,5]
[7,3,1,8,6,4,5,2]=>[2,5,4,6,8,1,3,7]
[8,6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6,8]
[4,6,8,3,7,1,2,5]=>[5,2,1,7,3,8,6,4]
[3,5,2,8,4,7,1,6]=>[6,1,7,4,8,2,5,3]
[6,4,8,3,7,2,1,5]=>[5,1,2,7,3,8,4,6]
[3,6,2,8,7,4,1,5]=>[5,1,4,7,8,2,6,3]
[6,8,4,2,7,3,1,5]=>[5,1,3,7,2,4,8,6]
[5,4,8,6,7,3,2,1]=>[1,2,3,7,6,8,4,5]
[3,4,7,8,5,1,2,6]=>[6,2,1,5,8,7,4,3]
[4,7,3,2,5,6,8,1]=>[1,8,6,5,2,3,7,4]
[3,2,7,6,4,5,8,1]=>[1,8,5,4,6,7,2,3]
[1,7,3,6,8,4,2,5]=>[5,2,4,8,6,3,7,1]
[2,3,6,5,1,8,7,4]=>[4,7,8,1,5,6,3,2]
[8,3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3,8]
[1,7,8,2,4,3,5,6]=>[6,5,3,4,2,8,7,1]
[3,6,4,7,1,2,8,5]=>[5,8,2,1,7,4,6,3]
[5,7,4,8,1,3,2,6]=>[6,2,3,1,8,4,7,5]
[4,3,7,8,1,5,2,6]=>[6,2,5,1,8,7,3,4]
[8,5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5,8]
[3,2,6,8,7,4,1,5]=>[5,1,4,7,8,6,2,3]
[2,3,7,5,1,8,6,4]=>[4,6,8,1,5,7,3,2]
[6,3,1,2,8,7,4,5]=>[5,4,7,8,2,1,3,6]
[5,2,1,3,8,7,6,4]=>[4,6,7,8,3,1,2,5]
[7,2,1,5,3,8,4,6]=>[6,4,8,3,5,1,2,7]
[1,5,8,2,4,3,6,7]=>[7,6,3,4,2,8,5,1]
[4,3,6,8,1,5,2,7]=>[7,2,5,1,8,6,3,4]
[5,4,6,8,3,1,7,2]=>[2,7,1,3,8,6,4,5]
[3,6,8,4,5,1,7,2]=>[2,7,1,5,4,8,6,3]
[8,6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6,8]
[7,3,1,2,8,6,4,5]=>[5,4,6,8,2,1,3,7]
[2,3,7,6,1,8,5,4]=>[4,5,8,1,6,7,3,2]
[3,2,7,8,6,4,1,5]=>[5,1,4,6,8,7,2,3]
[6,2,8,3,1,4,7,5]=>[5,7,4,1,3,8,2,6]
[3,1,2,8,7,4,5,6]=>[6,5,4,7,8,2,1,3]
[2,1,3,8,7,4,6,5]=>[5,6,4,7,8,3,1,2]
[2,1,3,8,7,4,5,6]=>[6,5,4,7,8,3,1,2]
[1,6,8,3,2,4,7,5]=>[5,7,4,2,3,8,6,1]
[8,5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5,8]
[8,4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4,8]
[8,3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3,8]
[1,3,2,8,7,6,4,5]=>[5,4,6,7,8,2,3,1]
[2,1,3,8,7,6,4,5]=>[5,4,6,7,8,3,1,2]
[1,7,2,6,3,5,8,4]=>[4,8,5,3,6,2,7,1]
[1,7,8,2,6,3,5,4]=>[4,5,3,6,2,8,7,1]
[1,6,3,7,2,5,4,8]=>[8,4,5,2,7,3,6,1]
[1,7,2,6,8,3,4,5]=>[5,4,3,8,6,2,7,1]
[1,7,2,4,6,3,5,8]=>[8,5,3,6,4,2,7,1]
[4,7,6,5,8,3,1,2]=>[2,1,3,8,5,6,7,4]
[5,7,2,8,4,1,3,6]=>[6,3,1,4,8,2,7,5]
[3,6,8,4,2,1,7,5]=>[5,7,1,2,4,8,6,3]
[2,6,8,3,1,5,4,7]=>[7,4,5,1,3,8,6,2]
[2,6,8,3,1,4,5,7]=>[7,5,4,1,3,8,6,2]
[2,6,8,4,5,1,3,7]=>[7,3,1,5,4,8,6,2]
[5,6,2,8,4,1,3,7]=>[7,3,1,4,8,2,6,5]
[6,3,7,8,2,1,5,4]=>[4,5,1,2,8,7,3,6]
[2,4,8,3,1,6,7,5]=>[5,7,6,1,3,8,4,2]
[3,4,2,6,1,5,8,7]=>[7,8,5,1,6,2,4,3]
[2,5,8,3,1,6,4,7]=>[7,4,6,1,3,8,5,2]
[3,5,8,4,2,1,6,7]=>[7,6,1,2,4,8,5,3]
[2,5,8,3,1,4,6,7]=>[7,6,4,1,3,8,5,2]
[3,4,2,7,1,6,5,8]=>[8,5,6,1,7,2,4,3]
[2,7,5,6,8,1,4,3]=>[3,4,1,8,6,5,7,2]
[2,8,1,3,5,7,4,6]=>[6,4,7,5,3,1,8,2]
[1,3,7,6,2,5,4,8]=>[8,4,5,2,6,7,3,1]
[2,8,7,1,4,3,5,6]=>[6,5,3,4,1,7,8,2]
[8,7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7,8]
[7,3,8,6,1,4,5,2]=>[2,5,4,1,6,8,3,7]
[5,4,7,8,3,2,6,1]=>[1,6,2,3,8,7,4,5]
[3,2,5,4,6,8,1,7]=>[7,1,8,6,4,5,2,3]
[7,4,5,8,3,1,6,2]=>[2,6,1,3,8,5,4,7]
[1,5,4,7,3,2,6,8]=>[8,6,2,3,7,4,5,1]
[8,4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4,8]
[3,4,8,5,7,1,2,6]=>[6,2,1,7,5,8,4,3]
[3,6,8,2,5,1,4,7]=>[7,4,1,5,2,8,6,3]
[3,6,8,7,2,5,4,1]=>[1,4,5,2,7,8,6,3]
[3,5,7,2,8,1,6,4]=>[4,6,1,8,2,7,5,3]
[4,7,6,8,3,5,2,1]=>[1,2,5,3,8,6,7,4]
[3,4,7,5,8,1,6,2]=>[2,6,1,8,5,7,4,3]
[3,4,6,5,8,2,1,7]=>[7,1,2,8,5,6,4,3]
[2,4,6,7,8,3,5,1]=>[1,5,3,8,7,6,4,2]
[1,4,2,5,7,6,3,8]=>[8,3,6,7,5,2,4,1]
[1,4,2,6,8,5,3,7]=>[7,3,5,8,6,2,4,1]
[1,2,6,8,3,5,4,7]=>[7,4,5,3,8,6,2,1]
[1,6,8,3,5,4,2,7]=>[7,2,4,5,3,8,6,1]
[1,5,3,2,4,6,8,7]=>[7,8,6,4,2,3,5,1]
[1,5,8,7,6,3,2,4]=>[4,2,3,6,7,8,5,1]
[1,5,7,6,3,2,4,8]=>[8,4,2,3,6,7,5,1]
[1,6,3,2,4,7,5,8]=>[8,5,7,4,2,3,6,1]
[1,6,3,2,4,8,7,5]=>[5,7,8,4,2,3,6,1]
[1,2,7,6,4,3,5,8]=>[8,5,3,4,6,7,2,1]
[1,8,7,5,2,4,6,3]=>[3,6,4,2,5,7,8,1]
[1,7,5,2,4,6,3,8]=>[8,3,6,4,2,5,7,1]
[1,7,4,2,5,3,6,8]=>[8,6,3,5,2,4,7,1]
[1,8,4,7,5,2,6,3]=>[3,6,2,5,7,4,8,1]
[1,7,5,2,3,6,4,8]=>[8,4,6,3,2,5,7,1]
[1,7,5,2,6,3,4,8]=>[8,4,3,6,2,5,7,1]
[1,6,3,7,4,2,5,8]=>[8,5,2,4,7,3,6,1]
[1,6,3,2,7,5,4,8]=>[8,4,5,7,2,3,6,1]
[1,4,7,5,2,6,3,8]=>[8,3,6,2,5,7,4,1]
[1,3,6,4,8,7,5,2]=>[2,5,7,8,4,6,3,1]
[1,3,7,6,4,2,5,8]=>[8,5,2,4,6,7,3,1]
[1,3,2,4,8,5,7,6]=>[6,7,5,8,4,2,3,1]
[1,3,8,7,5,2,4,6]=>[6,4,2,5,7,8,3,1]
[1,4,6,3,2,7,5,8]=>[8,5,7,2,3,6,4,1]
[1,4,6,3,2,8,7,5]=>[5,7,8,2,3,6,4,1]
[1,5,7,6,4,2,3,8]=>[8,3,2,4,6,7,5,1]
[1,6,3,2,8,4,7,5]=>[5,7,4,8,2,3,6,1]
[1,6,3,5,2,7,4,8]=>[8,4,7,2,5,3,6,1]
[1,6,3,5,2,8,7,4]=>[4,7,8,2,5,3,6,1]
[1,8,3,7,5,2,4,6]=>[6,4,2,5,7,3,8,1]
[6,4,7,1,5,3,8,2]=>[2,8,3,5,1,7,4,6]
[5,3,8,2,6,4,7,1]=>[1,7,4,6,2,8,3,5]
[4,3,8,2,6,5,7,1]=>[1,7,5,6,2,8,3,4]
[2,6,1,8,3,4,7,5]=>[5,7,4,3,8,1,6,2]
[1,6,2,8,3,4,7,5]=>[5,7,4,3,8,2,6,1]
[5,7,1,4,8,2,3,6]=>[6,3,2,8,4,1,7,5]
[6,5,7,1,4,3,8,2]=>[2,8,3,4,1,7,5,6]
[7,1,8,2,3,4,6,5]=>[5,6,4,3,2,8,1,7]
[4,8,3,5,7,6,1,2]=>[2,1,6,7,5,3,8,4]
[5,7,6,1,2,4,8,3]=>[3,8,4,2,1,6,7,5]
[4,8,3,5,7,6,2,1]=>[1,2,6,7,5,3,8,4]
[3,4,2,1,8,5,7,6]=>[6,7,5,8,1,2,4,3]
[6,7,5,1,2,8,4,3]=>[3,4,8,2,1,5,7,6]
[1,3,4,2,8,5,7,6]=>[6,7,5,8,2,4,3,1]
[7,5,1,8,4,2,3,6]=>[6,3,2,4,8,1,5,7]
[5,7,6,1,4,8,3,2]=>[2,3,8,4,1,6,7,5]
[2,5,3,1,8,4,7,6]=>[6,7,4,8,1,3,5,2]
[5,7,6,2,4,8,3,1]=>[1,3,8,4,2,6,7,5]
[6,7,5,2,3,8,4,1]=>[1,4,8,3,2,5,7,6]
[6,7,5,3,8,4,2,1]=>[1,2,4,8,3,5,7,6]
[3,2,1,4,8,5,7,6]=>[6,7,5,8,4,1,2,3]
[7,3,1,4,2,6,5,8]=>[8,5,6,2,4,1,3,7]
[7,6,1,3,2,5,4,8]=>[8,4,5,2,3,1,6,7]
[7,6,1,4,2,5,3,8]=>[8,3,5,2,4,1,6,7]
[7,2,1,5,3,6,4,8]=>[8,4,6,3,5,1,2,7]
[7,4,1,6,2,5,3,8]=>[8,3,5,2,6,1,4,7]
[7,6,2,5,1,4,3,8]=>[8,3,4,1,5,2,6,7]
[5,7,2,6,1,4,3,8]=>[8,3,4,1,6,2,7,5]
[6,7,2,5,1,4,3,8]=>[8,3,4,1,5,2,7,6]
[6,3,1,7,2,5,4,8]=>[8,4,5,2,7,1,3,6]
[6,2,1,8,3,5,4,7]=>[7,4,5,3,8,1,2,6]
[6,3,1,8,2,5,4,7]=>[7,4,5,2,8,1,3,6]
[6,4,1,8,2,5,3,7]=>[7,3,5,2,8,1,4,6]
[5,7,1,4,3,8,2,6]=>[6,2,8,3,4,1,7,5]
[5,4,1,8,2,6,3,7]=>[7,3,6,2,8,1,4,5]
[5,3,1,8,2,6,4,7]=>[7,4,6,2,8,1,3,5]
[5,3,1,7,2,6,4,8]=>[8,4,6,2,7,1,3,5]
[4,7,1,5,2,6,3,8]=>[8,3,6,2,5,1,7,4]
[6,3,1,5,2,7,4,8]=>[8,4,7,2,5,1,3,6]
[6,5,1,4,2,7,3,8]=>[8,3,7,2,4,1,5,6]
[6,4,1,3,2,7,5,8]=>[8,5,7,2,3,1,4,6]
[6,2,1,4,3,7,5,8]=>[8,5,7,3,4,1,2,6]
[5,6,1,3,2,8,4,7]=>[7,4,8,2,3,1,6,5]
[5,6,1,4,2,8,3,7]=>[7,3,8,2,4,1,6,5]
[6,5,1,4,2,8,3,7]=>[7,3,8,2,4,1,5,6]
[4,6,1,5,2,8,3,7]=>[7,3,8,2,5,1,6,4]
[5,4,1,8,3,7,2,6]=>[6,2,7,3,8,1,4,5]
[5,2,1,8,4,7,3,6]=>[6,3,7,4,8,1,2,5]
[1,8,7,3,4,5,2,6]=>[6,2,5,4,3,7,8,1]
[1,8,7,4,5,2,3,6]=>[6,3,2,5,4,7,8,1]
[1,2,6,8,7,3,4,5]=>[5,4,3,7,8,6,2,1]
[1,3,7,8,4,5,6,2]=>[2,6,5,4,8,7,3,1]
[8,4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4,8]
[8,4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4,8]
[6,4,5,2,1,8,3,7]=>[7,3,8,1,2,5,4,6]
[6,4,5,2,8,1,7,3]=>[3,7,1,8,2,5,4,6]
[4,8,6,2,3,1,7,5]=>[5,7,1,3,2,6,8,4]
[4,6,2,3,1,8,7,5]=>[5,7,8,1,3,2,6,4]
[6,4,2,8,5,3,7,1]=>[1,7,3,5,8,2,4,6]
[6,4,2,1,8,5,3,7]=>[7,3,5,8,1,2,4,6]
[4,2,6,1,5,8,3,7]=>[7,3,8,5,1,6,2,4]
[6,4,5,2,8,7,1,3]=>[3,1,7,8,2,5,4,6]
[4,2,3,6,5,8,1,7]=>[7,1,8,5,6,3,2,4]
[6,4,2,3,5,8,7,1]=>[1,7,8,5,3,2,4,6]
[6,4,2,3,5,8,1,7]=>[7,1,8,5,3,2,4,6]
[6,4,2,3,1,8,5,7]=>[7,5,8,1,3,2,4,6]
[6,4,2,3,1,5,8,7]=>[7,8,5,1,3,2,4,6]
[8,6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6,8]
[2,8,6,4,5,1,7,3]=>[3,7,1,5,4,6,8,2]
[8,6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6,8]
[6,4,2,1,8,3,7,5]=>[5,7,3,8,1,2,4,6]
[6,4,8,2,5,7,3,1]=>[1,3,7,5,2,8,4,6]
[8,2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2,8]
[8,6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6,8]
[2,8,6,1,4,3,7,5]=>[5,7,3,4,1,6,8,2]
[2,8,6,4,3,7,5,1]=>[1,5,7,3,4,6,8,2]
[2,6,3,1,7,4,8,5]=>[5,8,4,7,1,3,6,2]
[4,3,2,6,1,8,7,5]=>[5,7,8,1,6,2,3,4]
[6,5,1,8,3,2,7,4]=>[4,7,2,3,8,1,5,6]
[1,3,7,4,5,2,8,6]=>[6,8,2,5,4,7,3,1]
[3,6,1,2,5,8,7,4]=>[4,7,8,5,2,1,6,3]
[8,1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1,8]
[4,1,7,3,8,6,5,2]=>[2,5,6,8,3,7,1,4]
[1,4,3,7,2,8,6,5]=>[5,6,8,2,7,3,4,1]
[1,8,7,4,5,3,2,6]=>[6,2,3,5,4,7,8,1]
[2,8,3,1,4,5,7,6]=>[6,7,5,4,1,3,8,2]
[6,1,7,2,8,4,5,3]=>[3,5,4,8,2,7,1,6]
[6,5,1,3,8,7,2,4]=>[4,2,7,8,3,1,5,6]
[8,3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3,8]
[3,2,6,7,8,4,5,1]=>[1,5,4,8,7,6,2,3]
[1,7,4,6,3,8,2,5]=>[5,2,8,3,6,4,7,1]
[5,6,4,1,3,8,2,7]=>[7,2,8,3,1,4,6,5]
[7,2,6,3,5,8,1,4]=>[4,1,8,5,3,6,2,7]
[4,5,3,1,8,7,6,2]=>[2,6,7,8,1,3,5,4]
[6,3,4,2,7,8,5,1]=>[1,5,8,7,2,4,3,6]
[1,4,3,8,5,2,7,6]=>[6,7,2,5,8,3,4,1]
[8,7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7,8]
[6,2,7,8,1,3,5,4]=>[4,5,3,1,8,7,2,6]
[5,1,8,4,3,7,2,6]=>[6,2,7,3,4,8,1,5]
[7,2,8,1,3,4,6,5]=>[5,6,4,3,1,8,2,7]
[1,4,8,3,5,6,7,2]=>[2,7,6,5,3,8,4,1]
[7,2,8,1,4,5,6,3]=>[3,6,5,4,1,8,2,7]
[2,1,8,3,4,5,7,6]=>[6,7,5,4,3,8,1,2]
[5,8,2,3,1,7,4,6]=>[6,4,7,1,3,2,8,5]
[1,4,8,2,5,6,7,3]=>[3,7,6,5,2,8,4,1]
[8,1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1,8]
[7,5,2,3,6,8,4,1]=>[1,4,8,6,3,2,5,7]
[2,5,8,3,6,1,4,7]=>[7,4,1,6,3,8,5,2]
[8,1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1,8]
[8,1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1,8]
[8,1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1,8]
[8,1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1,8]
[8,1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1,8]
[8,1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1,8]
[8,1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1,8]
[7,2,3,6,8,5,1,4]=>[4,1,5,8,6,3,2,7]
[7,5,3,2,6,4,1,8]=>[8,1,4,6,2,3,5,7]
[4,5,8,1,6,7,2,3]=>[3,2,7,6,1,8,5,4]
[3,5,8,2,6,4,7,1]=>[1,7,4,6,2,8,5,3]
[3,2,8,6,1,5,7,4]=>[4,7,5,1,6,8,2,3]
[3,4,7,2,1,5,6,8]=>[8,6,5,1,2,7,4,3]
[3,7,2,5,8,4,6,1]=>[1,6,4,8,5,2,7,3]
[6,7,8,4,1,5,2,3]=>[3,2,5,1,4,8,7,6]
[6,2,8,3,5,1,4,7]=>[7,4,1,5,3,8,2,6]
[6,2,7,4,5,3,1,8]=>[8,1,3,5,4,7,2,6]
[6,8,2,5,3,4,1,7]=>[7,1,4,3,5,2,8,6]
[6,8,7,5,4,1,2,3]=>[3,2,1,4,5,7,8,6]
[7,4,5,6,1,8,2,3]=>[3,2,8,1,6,5,4,7]
[7,3,4,6,5,1,2,8]=>[8,2,1,5,6,4,3,7]
[7,2,4,5,6,1,8,3]=>[3,8,1,6,5,4,2,7]
[6,3,5,2,8,1,7,4]=>[4,7,1,8,2,5,3,6]
[2,7,3,5,8,1,4,6]=>[6,4,1,8,5,3,7,2]
[7,8,6,1,2,5,4,3]=>[3,4,5,2,1,6,8,7]
[6,1,8,7,4,5,2,3]=>[3,2,5,4,7,8,1,6]
[6,1,8,7,3,4,2,5]=>[5,2,4,3,7,8,1,6]
[4,5,3,7,8,2,1,6]=>[6,1,2,8,7,3,5,4]
[4,1,7,6,3,5,2,8]=>[8,2,5,3,6,7,1,4]
[4,1,6,7,2,5,8,3]=>[3,8,5,2,7,6,1,4]
[4,7,8,1,6,2,5,3]=>[3,5,2,6,1,8,7,4]
[4,8,7,1,6,3,2,5]=>[5,2,3,6,1,7,8,4]
[4,8,2,7,5,3,6,1]=>[1,6,3,5,7,2,8,4]
[3,2,8,7,6,4,5,1]=>[1,5,4,6,7,8,2,3]
[3,1,2,7,5,6,4,8]=>[8,4,6,5,7,2,1,3]
[1,3,2,6,8,7,4,5]=>[5,4,7,8,6,2,3,1]
[1,3,8,2,5,4,6,7]=>[7,6,4,5,2,8,3,1]
[1,6,2,5,8,7,3,4]=>[4,3,7,8,5,2,6,1]
[1,6,8,7,2,3,5,4]=>[4,5,3,2,7,8,6,1]
[1,6,8,7,2,5,3,4]=>[4,3,5,2,7,8,6,1]
[1,5,2,4,8,3,6,7]=>[7,6,3,8,4,2,5,1]
[1,2,4,5,8,6,3,7]=>[7,3,6,8,5,4,2,1]
[1,2,8,3,5,4,7,6]=>[6,7,4,5,3,8,2,1]
[1,3,8,2,5,4,7,6]=>[6,7,4,5,2,8,3,1]
[1,6,7,5,2,4,8,3]=>[3,8,4,2,5,7,6,1]
[1,5,6,4,7,2,3,8]=>[8,3,2,7,4,6,5,1]
[1,7,4,2,5,8,3,6]=>[6,3,8,5,2,4,7,1]
[1,6,4,3,7,5,2,8]=>[8,2,5,7,3,4,6,1]
[1,6,5,4,7,2,3,8]=>[8,3,2,7,4,5,6,1]
[1,7,3,2,6,4,8,5]=>[5,8,4,6,2,3,7,1]
[1,5,8,2,3,6,7,4]=>[4,7,6,3,2,8,5,1]
[1,3,2,6,8,5,4,7]=>[7,4,5,8,6,2,3,1]
[1,6,3,2,7,4,5,8]=>[8,5,4,7,2,3,6,1]
[1,7,8,5,4,2,3,6]=>[6,3,2,4,5,8,7,1]
[1,8,4,2,3,6,5,7]=>[7,5,6,3,2,4,8,1]
[1,4,2,7,5,3,8,6]=>[6,8,3,5,7,2,4,1]
[1,5,7,6,2,4,3,8]=>[8,3,4,2,6,7,5,1]
[1,8,4,7,3,2,6,5]=>[5,6,2,3,7,4,8,1]
[1,3,8,4,2,6,5,7]=>[7,5,6,2,4,8,3,1]
[1,7,4,2,6,5,8,3]=>[3,8,5,6,2,4,7,1]
[1,6,5,8,3,7,4,2]=>[2,4,7,3,8,5,6,1]
[1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]
[1,4,8,3,2,7,5,6]=>[6,5,7,2,3,8,4,1]
[1,8,3,6,4,5,2,7]=>[7,2,5,4,6,3,8,1]
[1,6,4,7,3,2,8,5]=>[5,8,2,3,7,4,6,1]
[8,2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2,8]
[8,5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5,8]
[3,1,5,6,8,4,2,7]=>[7,2,4,8,6,5,1,3]
[7,5,2,1,6,8,3,4]=>[4,3,8,6,1,2,5,7]
[1,3,6,8,4,2,5,7]=>[7,5,2,4,8,6,3,1]
[7,6,1,5,4,8,2,3]=>[3,2,8,4,5,1,6,7]
[7,6,3,2,1,8,4,5]=>[5,4,8,1,2,3,6,7]
[2,8,7,3,4,6,1,5]=>[5,1,6,4,3,7,8,2]
[6,5,1,3,7,2,8,4]=>[4,8,2,7,3,1,5,6]
[8,1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1,8]
[7,1,8,3,4,5,2,6]=>[6,2,5,4,3,8,1,7]
[7,4,8,2,5,3,1,6]=>[6,1,3,5,2,8,4,7]
[7,2,1,4,8,5,3,6]=>[6,3,5,8,4,1,2,7]
[6,8,7,3,4,2,1,5]=>[5,1,2,4,3,7,8,6]
[3,8,7,1,2,4,5,6]=>[6,5,4,2,1,7,8,3]
[1,8,5,3,4,6,2,7]=>[7,2,6,4,3,5,8,1]
[5,8,4,3,1,6,2,7]=>[7,2,6,1,3,4,8,5]
[7,1,6,5,4,3,8,2]=>[2,8,3,4,5,6,1,7]
[7,1,3,6,4,5,8,2]=>[2,8,5,4,6,3,1,7]
[7,1,5,3,6,4,8,2]=>[2,8,4,6,3,5,1,7]
[6,1,5,3,7,8,2,4]=>[4,2,8,7,3,5,1,6]
[5,8,7,1,2,6,3,4]=>[4,3,6,2,1,7,8,5]
[6,8,2,3,4,7,1,5]=>[5,1,7,4,3,2,8,6]
[5,1,7,3,8,6,2,4]=>[4,2,6,8,3,7,1,5]
[6,1,3,2,4,7,8,5]=>[5,8,7,4,2,3,1,6]
[6,2,1,3,4,7,8,5]=>[5,8,7,4,3,1,2,6]
[3,2,5,8,7,4,1,6]=>[6,1,4,7,8,5,2,3]
[4,2,5,8,7,3,1,6]=>[6,1,3,7,8,5,2,4]
[8,3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3,8]
[3,4,8,5,7,2,1,6]=>[6,1,2,7,5,8,4,3]
[3,6,4,8,5,7,2,1]=>[1,2,7,5,8,4,6,3]
[5,8,4,7,3,6,2,1]=>[1,2,6,3,7,4,8,5]
[4,2,8,7,3,1,6,5]=>[5,6,1,3,7,8,2,4]
[6,5,8,2,1,7,4,3]=>[3,4,7,1,2,8,5,6]
[6,1,4,3,8,7,2,5]=>[5,2,7,8,3,4,1,6]
[5,1,3,2,6,8,7,4]=>[4,7,8,6,2,3,1,5]
[6,1,3,8,7,2,4,5]=>[5,4,2,7,8,3,1,6]
[1,2,8,4,5,7,3,6]=>[6,3,7,5,4,8,2,1]
[4,2,1,8,7,6,3,5]=>[5,3,6,7,8,1,2,4]
[3,2,5,8,7,1,4,6]=>[6,4,1,7,8,5,2,3]
[5,6,3,8,7,2,1,4]=>[4,1,2,7,8,3,6,5]
[2,5,8,4,7,1,6,3]=>[3,6,1,7,4,8,5,2]
[1,6,2,4,8,5,7,3]=>[3,7,5,8,4,2,6,1]
[3,1,6,5,8,7,2,4]=>[4,2,7,8,5,6,1,3]
[4,8,5,3,6,7,1,2]=>[2,1,7,6,3,5,8,4]
[1,8,5,3,4,7,6,2]=>[2,6,7,4,3,5,8,1]
[7,5,2,1,4,3,6,8]=>[8,6,3,4,1,2,5,7]
[3,1,7,6,4,2,5,8]=>[8,5,2,4,6,7,1,3]
[2,3,7,5,6,1,4,8]=>[8,4,1,6,5,7,3,2]
[5,1,4,7,6,3,2,8]=>[8,2,3,6,7,4,1,5]
[6,1,7,3,4,5,2,8]=>[8,2,5,4,3,7,1,6]
[5,7,6,2,4,1,3,8]=>[8,3,1,4,2,6,7,5]
[2,7,1,3,6,4,5,8]=>[8,5,4,6,3,1,7,2]
[8,1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1,8]
[2,8,7,3,5,6,4,1]=>[1,4,6,5,3,7,8,2]
[3,2,7,4,1,8,6,5]=>[5,6,8,1,4,7,2,3]
[1,8,6,3,2,5,4,7]=>[7,4,5,2,3,6,8,1]
[3,2,4,8,5,7,1,6]=>[6,1,7,5,8,4,2,3]
[7,2,5,4,8,1,3,6]=>[6,3,1,8,4,5,2,7]
[5,1,8,3,2,7,6,4]=>[4,6,7,2,3,8,1,5]
[6,8,5,2,3,7,1,4]=>[4,1,7,3,2,5,8,6]
[8,1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1,8]
[1,3,4,8,6,7,2,5]=>[5,2,7,6,8,4,3,1]
[8,3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3,8]
[6,4,5,8,3,1,7,2]=>[2,7,1,3,8,5,4,6]
[2,7,8,5,6,4,1,3]=>[3,1,4,6,5,8,7,2]
[8,6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6,8]
[4,6,2,8,5,3,7,1]=>[1,7,3,5,8,2,6,4]
[5,6,2,4,8,3,1,7]=>[7,1,3,8,4,2,6,5]
[8,7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7,8]
[1,6,8,7,3,5,2,4]=>[4,2,5,3,7,8,6,1]
[7,1,3,5,4,8,6,2]=>[2,6,8,4,5,3,1,7]
[2,7,3,4,5,8,6,1]=>[1,6,8,5,4,3,7,2]
[4,1,5,2,8,6,3,7]=>[7,3,6,8,2,5,1,4]
[7,5,3,4,8,6,2,1]=>[1,2,6,8,4,3,5,7]
[8,4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4,8]
[2,8,3,1,4,6,7,5]=>[5,7,6,4,1,3,8,2]
[6,8,3,4,2,5,7,1]=>[1,7,5,2,4,3,8,6]
[4,2,8,3,5,1,6,7]=>[7,6,1,5,3,8,2,4]
[5,6,1,2,4,3,7,8]=>[8,7,3,4,2,1,6,5]
[3,1,2,6,5,4,7,8]=>[8,7,4,5,6,2,1,3]
[4,3,6,5,1,2,7,8]=>[8,7,2,1,5,6,3,4]
[2,8,3,7,6,4,1,5]=>[5,1,4,6,7,3,8,2]
[2,8,3,7,6,4,5,1]=>[1,5,4,6,7,3,8,2]
[8,1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1,8]
[8,1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1,8]
[1,8,3,7,6,4,2,5]=>[5,2,4,6,7,3,8,1]
[5,8,3,7,6,4,2,1]=>[1,2,4,6,7,3,8,5]
[1,3,8,7,6,5,2,4]=>[4,2,5,6,7,8,3,1]
[2,8,1,7,6,4,5,3]=>[3,5,4,6,7,1,8,2]
[8,2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2,8]
[8,1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1,8]
[3,8,2,7,6,4,5,1]=>[1,5,4,6,7,2,8,3]
[4,8,7,2,6,3,1,5]=>[5,1,3,6,2,7,8,4]
[1,8,7,2,6,3,5,4]=>[4,5,3,6,2,7,8,1]
[8,7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7,8]
[5,8,7,2,6,3,1,4]=>[4,1,3,6,2,7,8,5]
[2,8,7,1,6,3,4,5]=>[5,4,3,6,1,7,8,2]
[4,2,8,7,6,5,1,3]=>[3,1,5,6,7,8,2,4]
[5,8,7,1,6,3,4,2]=>[2,4,3,6,1,7,8,5]
[5,8,7,1,6,3,2,4]=>[4,2,3,6,1,7,8,5]
[1,4,8,7,6,5,2,3]=>[3,2,5,6,7,8,4,1]
[8,4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4,8]
[6,8,7,5,2,4,3,1]=>[1,3,4,2,5,7,8,6]
[7,6,3,1,4,5,2,8]=>[8,2,5,4,1,3,6,7]
[7,2,3,6,4,5,1,8]=>[8,1,5,4,6,3,2,7]
[7,2,1,4,6,5,3,8]=>[8,3,5,6,4,1,2,7]
[7,3,6,2,4,5,1,8]=>[8,1,5,4,2,6,3,7]
[7,2,6,1,4,5,3,8]=>[8,3,5,4,1,6,2,7]
[6,8,7,2,4,5,1,3]=>[3,1,5,4,2,7,8,6]
[1,2,5,7,4,8,6,3]=>[3,6,8,4,7,5,2,1]
[6,2,1,8,7,5,3,4]=>[4,3,5,7,8,1,2,6]
[6,3,8,7,4,5,2,1]=>[1,2,5,4,7,8,3,6]
[4,2,1,5,3,8,6,7]=>[7,6,8,3,5,1,2,4]
[4,6,5,3,2,8,1,7]=>[7,1,8,2,3,5,6,4]
[2,8,3,4,1,5,6,7]=>[7,6,5,1,4,3,8,2]
[2,7,3,5,4,8,6,1]=>[1,6,8,4,5,3,7,2]
[2,6,4,3,5,8,1,7]=>[7,1,8,5,3,4,6,2]
[4,2,1,7,6,5,8,3]=>[3,8,5,6,7,1,2,4]
[4,5,7,3,6,1,8,2]=>[2,8,1,6,3,7,5,4]
[1,3,7,5,4,8,6,2]=>[2,6,8,4,5,7,3,1]
[3,8,7,5,4,1,6,2]=>[2,6,1,4,5,7,8,3]
[4,5,6,3,1,8,2,7]=>[7,2,8,1,3,6,5,4]
[1,4,6,3,5,8,2,7]=>[7,2,8,5,3,6,4,1]
[4,7,5,3,6,2,8,1]=>[1,8,2,6,3,5,7,4]
[5,4,1,3,2,6,8,7]=>[7,8,6,2,3,1,4,5]
[5,2,1,4,3,6,8,7]=>[7,8,6,3,4,1,2,5]
[6,2,4,3,1,8,5,7]=>[7,5,8,1,3,4,2,6]
[1,5,6,3,8,4,2,7]=>[7,2,4,8,3,6,5,1]
[5,4,6,3,8,1,2,7]=>[7,2,1,8,3,6,4,5]
[5,8,6,3,1,4,2,7]=>[7,2,4,1,3,6,8,5]
[5,8,7,1,4,3,6,2]=>[2,6,3,4,1,7,8,5]
[5,7,3,8,4,2,6,1]=>[1,6,2,4,8,3,7,5]
[5,6,8,3,2,4,1,7]=>[7,1,4,2,3,8,6,5]
[5,3,6,2,8,4,1,7]=>[7,1,4,8,2,6,3,5]
[3,2,6,5,4,8,1,7]=>[7,1,8,4,5,6,2,3]
[2,6,5,4,8,3,1,7]=>[7,1,3,8,4,5,6,2]
[2,3,6,5,4,8,1,7]=>[7,1,8,4,5,6,3,2]
[3,7,5,4,8,2,6,1]=>[1,6,2,8,4,5,7,3]
[5,3,7,1,2,8,4,6]=>[6,4,8,2,1,7,3,5]
[1,2,7,6,4,8,3,5]=>[5,3,8,4,6,7,2,1]
[6,3,8,7,1,2,5,4]=>[4,5,2,1,7,8,3,6]
[2,8,7,6,1,3,5,4]=>[4,5,3,1,6,7,8,2]
[6,3,8,7,1,4,5,2]=>[2,5,4,1,7,8,3,6]
[2,7,5,4,8,1,6,3]=>[3,6,1,8,4,5,7,2]
[7,6,4,8,2,5,3,1]=>[1,3,5,2,8,4,6,7]
[6,3,8,7,2,5,4,1]=>[1,4,5,2,7,8,3,6]
[2,8,7,6,1,5,3,4]=>[4,3,5,1,6,7,8,2]
[7,6,4,8,1,3,2,5]=>[5,2,3,1,8,4,6,7]
[6,3,8,7,1,4,2,5]=>[5,2,4,1,7,8,3,6]
[6,3,8,7,1,2,4,5]=>[5,4,2,1,7,8,3,6]
[4,8,1,6,7,5,2,3]=>[3,2,5,7,6,1,8,4]
[6,8,4,1,7,5,2,3]=>[3,2,5,7,1,4,8,6]
[8,1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1,8]
[2,6,8,1,7,4,5,3]=>[3,5,4,7,1,8,6,2]
[2,6,8,1,4,7,5,3]=>[3,5,7,4,1,8,6,2]
[6,4,8,1,2,7,5,3]=>[3,5,7,2,1,8,4,6]
[8,4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4,8]
[8,1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1,8]
[8,2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2,8]
[8,2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2,8]
[6,2,8,1,4,7,5,3]=>[3,5,7,4,1,8,2,6]
[4,2,8,1,6,7,5,3]=>[3,5,7,6,1,8,2,4]
[2,4,8,1,6,7,5,3]=>[3,5,7,6,1,8,4,2]
[4,2,8,6,1,7,5,3]=>[3,5,7,1,6,8,2,4]
[8,2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2,8]
[8,1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1,8]
[8,4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4,8]
[4,8,6,1,2,7,5,3]=>[3,5,7,2,1,6,8,4]
[4,8,1,2,6,7,5,3]=>[3,5,7,6,2,1,8,4]
[4,8,2,1,6,7,5,3]=>[3,5,7,6,1,2,8,4]
[6,8,2,1,4,7,5,3]=>[3,5,7,4,1,2,8,6]
[8,6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6,8]
[8,1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1,8]
[8,6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6,8]
[6,8,2,4,1,7,5,3]=>[3,5,7,1,4,2,8,6]
[4,8,2,6,1,7,5,3]=>[3,5,7,1,6,2,8,4]
[6,4,2,8,1,7,5,3]=>[3,5,7,1,8,2,4,6]
[8,4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4,8]
[8,2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2,8]
[8,2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2,8]
[5,4,7,6,3,1,2,8]=>[8,2,1,3,6,7,4,5]
[3,6,4,8,1,5,2,7]=>[7,2,5,1,8,4,6,3]
[3,6,8,4,1,5,2,7]=>[7,2,5,1,4,8,6,3]
[8,7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7,8]
[3,8,6,4,1,5,2,7]=>[7,2,5,1,4,6,8,3]
[8,2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2,8]
[4,6,1,3,2,8,7,5]=>[5,7,8,2,3,1,6,4]
[5,4,6,7,1,3,8,2]=>[2,8,3,1,7,6,4,5]
[7,1,4,8,2,3,6,5]=>[5,6,3,2,8,4,1,7]
[3,6,5,4,7,1,8,2]=>[2,8,1,7,4,5,6,3]
[4,5,3,6,7,1,8,2]=>[2,8,1,7,6,3,5,4]
[1,4,7,8,3,5,2,6]=>[6,2,5,3,8,7,4,1]
[4,6,1,3,5,2,8,7]=>[7,8,2,5,3,1,6,4]
[1,7,6,3,5,8,4,2]=>[2,4,8,5,3,6,7,1]
[2,5,1,4,8,3,7,6]=>[6,7,3,8,4,1,5,2]
[7,6,2,1,4,5,3,8]=>[8,3,5,4,1,2,6,7]
[4,1,2,8,7,6,3,5]=>[5,3,6,7,8,2,1,4]
[5,1,4,3,8,6,7,2]=>[2,7,6,8,3,4,1,5]
[3,5,1,6,4,8,7,2]=>[2,7,8,4,6,1,5,3]
[2,6,3,5,1,7,4,8]=>[8,4,7,1,5,3,6,2]
[6,1,2,5,4,8,7,3]=>[3,7,8,4,5,2,1,6]
[8,4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4,8]
[8,4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4,8]
[1,6,2,8,5,4,7,3]=>[3,7,4,5,8,2,6,1]
[6,1,5,3,2,7,4,8]=>[8,4,7,2,3,5,1,6]
[6,4,7,2,1,8,5,3]=>[3,5,8,1,2,7,4,6]
[5,8,4,6,3,1,7,2]=>[2,7,1,3,6,4,8,5]
[2,4,5,6,8,3,1,7]=>[7,1,3,8,6,5,4,2]
[3,8,4,2,1,6,5,7]=>[7,5,6,1,2,4,8,3]
[3,4,7,1,2,6,8,5]=>[5,8,6,2,1,7,4,3]
[4,1,8,6,5,2,3,7]=>[7,3,2,5,6,8,1,4]
[3,4,5,8,6,2,1,7]=>[7,1,2,6,8,5,4,3]
[8,6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6,8]
[2,5,3,7,1,8,6,4]=>[4,6,8,1,7,3,5,2]
[4,8,6,2,5,1,7,3]=>[3,7,1,5,2,6,8,4]
[4,5,1,8,6,3,7,2]=>[2,7,3,6,8,1,5,4]
[1,7,2,4,5,3,8,6]=>[6,8,3,5,4,2,7,1]
[8,5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5,8]
[4,5,3,7,1,8,6,2]=>[2,6,8,1,7,3,5,4]
[1,4,6,2,5,3,8,7]=>[7,8,3,5,2,6,4,1]
[6,2,8,7,1,3,5,4]=>[4,5,3,1,7,8,2,6]
[4,5,3,6,1,8,7,2]=>[2,7,8,1,6,3,5,4]
[8,3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3,8]
[8,4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4,8]
[8,4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4,8]
[3,8,7,5,6,4,1,2]=>[2,1,4,6,5,7,8,3]
[3,8,7,5,6,2,1,4]=>[4,1,2,6,5,7,8,3]
[3,8,7,5,6,2,4,1]=>[1,4,2,6,5,7,8,3]
[2,8,7,5,6,4,1,3]=>[3,1,4,6,5,7,8,2]
[1,5,6,3,8,2,7,4]=>[4,7,2,8,3,6,5,1]
[2,6,3,8,4,7,1,5]=>[5,1,7,4,8,3,6,2]
[2,6,3,5,7,8,1,4]=>[4,1,8,7,5,3,6,2]
[1,5,6,3,7,2,8,4]=>[4,8,2,7,3,6,5,1]
[1,7,5,3,6,2,8,4]=>[4,8,2,6,3,5,7,1]
[1,5,7,3,4,2,8,6]=>[6,8,2,4,3,7,5,1]
[1,5,8,3,4,2,7,6]=>[6,7,2,4,3,8,5,1]
[1,4,5,3,7,2,8,6]=>[6,8,2,7,3,5,4,1]
[1,4,5,3,8,2,7,6]=>[6,7,2,8,3,5,4,1]
[6,5,1,4,2,7,8,3]=>[3,8,7,2,4,1,5,6]
[6,5,1,4,2,8,7,3]=>[3,7,8,2,4,1,5,6]
[1,7,5,4,2,8,6,3]=>[3,6,8,2,4,5,7,1]
[4,1,2,7,5,3,6,8]=>[8,6,3,5,7,2,1,4]
[5,1,6,8,3,7,2,4]=>[4,2,7,3,8,6,1,5]
[6,1,3,7,2,4,5,8]=>[8,5,4,2,7,3,1,6]
[4,1,5,6,8,3,2,7]=>[7,2,3,8,6,5,1,4]
[3,8,5,2,1,4,7,6]=>[6,7,4,1,2,5,8,3]
[3,4,8,2,1,6,7,5]=>[5,7,6,1,2,8,4,3]
[3,5,4,8,2,6,7,1]=>[1,7,6,2,8,4,5,3]
[5,4,7,1,8,6,3,2]=>[2,3,6,8,1,7,4,5]
[3,1,5,6,8,4,7,2]=>[2,7,4,8,6,5,1,3]
[3,6,1,8,2,5,4,7]=>[7,4,5,2,8,1,6,3]
[5,8,3,2,1,7,4,6]=>[6,4,7,1,2,3,8,5]
[1,4,8,2,6,5,3,7]=>[7,3,5,6,2,8,4,1]
[8,5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5,8]
[3,8,1,2,6,5,4,7]=>[7,4,5,6,2,1,8,3]
[1,2,8,5,6,4,3,7]=>[7,3,4,6,5,8,2,1]
[7,5,1,8,3,4,2,6]=>[6,2,4,3,8,1,5,7]
[5,2,8,1,7,4,3,6]=>[6,3,4,7,1,8,2,5]
[5,4,7,1,2,3,8,6]=>[6,8,3,2,1,7,4,5]
[1,4,8,2,6,7,3,5]=>[5,3,7,6,2,8,4,1]
[1,2,5,6,8,7,3,4]=>[4,3,7,8,6,5,2,1]
[1,5,6,8,2,7,4,3]=>[3,4,7,2,8,6,5,1]
[3,6,1,8,2,7,4,5]=>[5,4,7,2,8,1,6,3]
[2,6,7,3,4,1,8,5]=>[5,8,1,4,3,7,6,2]
[1,6,5,7,8,2,4,3]=>[3,4,2,8,7,5,6,1]
[1,5,6,7,2,8,4,3]=>[3,4,8,2,7,6,5,1]
[3,6,1,2,8,7,5,4]=>[4,5,7,8,2,1,6,3]
[3,7,6,1,8,2,4,5]=>[5,4,2,8,1,6,7,3]
[1,3,7,2,6,4,8,5]=>[5,8,4,6,2,7,3,1]
[1,4,7,2,6,3,8,5]=>[5,8,3,6,2,7,4,1]
[2,6,8,1,4,7,3,5]=>[5,3,7,4,1,8,6,2]
[1,4,6,8,3,7,2,5]=>[5,2,7,3,8,6,4,1]
[1,5,8,6,7,3,4,2]=>[2,4,3,7,6,8,5,1]
[1,6,5,8,7,2,4,3]=>[3,4,2,7,8,5,6,1]
[1,5,7,6,2,8,3,4]=>[4,3,8,2,6,7,5,1]
[1,2,5,8,6,7,4,3]=>[3,4,7,6,8,5,2,1]
[1,2,6,5,7,3,8,4]=>[4,8,3,7,5,6,2,1]
[1,7,5,8,6,4,2,3]=>[3,2,4,6,8,5,7,1]
[7,3,8,6,4,2,1,5]=>[5,1,2,4,6,8,3,7]
[2,7,6,3,4,8,1,5]=>[5,1,8,4,3,6,7,2]
[3,6,5,8,1,2,7,4]=>[4,7,2,1,8,5,6,3]
[5,4,7,8,1,6,3,2]=>[2,3,6,1,8,7,4,5]
[2,5,6,8,1,3,7,4]=>[4,7,3,1,8,6,5,2]
[5,3,6,8,1,2,7,4]=>[4,7,2,1,8,6,3,5]
[4,6,5,8,3,2,7,1]=>[1,7,2,3,8,5,6,4]
[4,5,6,8,2,3,7,1]=>[1,7,3,2,8,6,5,4]
[2,5,8,7,1,6,4,3]=>[3,4,6,1,7,8,5,2]
[4,7,5,8,3,6,2,1]=>[1,2,6,3,8,5,7,4]
[7,3,6,8,5,2,1,4]=>[4,1,2,5,8,6,3,7]
[8,3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3,8]
[8,4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4,8]
[2,4,7,8,5,6,3,1]=>[1,3,6,5,8,7,4,2]
[3,6,8,7,5,2,4,1]=>[1,4,2,5,7,8,6,3]
[6,4,7,8,5,1,3,2]=>[2,3,1,5,8,7,4,6]
[7,8,4,6,5,3,1,2]=>[2,1,3,5,6,4,8,7]
[6,8,4,7,5,1,3,2]=>[2,3,1,5,7,4,8,6]
[2,7,5,4,3,1,6,8]=>[8,6,1,3,4,5,7,2]
[1,2,6,4,3,8,7,5]=>[5,7,8,3,4,6,2,1]
[6,5,8,3,1,4,2,7]=>[7,2,4,1,3,8,5,6]
[7,6,3,5,4,1,2,8]=>[8,2,1,4,5,3,6,7]
[2,7,4,6,1,5,3,8]=>[8,3,5,1,6,4,7,2]
[2,7,3,1,6,5,4,8]=>[8,4,5,6,1,3,7,2]
[7,6,1,2,3,5,4,8]=>[8,4,5,3,2,1,6,7]
[1,8,5,7,2,3,6,4]=>[4,6,3,2,7,5,8,1]
[2,3,6,8,1,7,5,4]=>[4,5,7,1,8,6,3,2]
[6,1,3,8,4,2,5,7]=>[7,5,2,4,8,3,1,6]
[2,8,7,5,1,6,3,4]=>[4,3,6,1,5,7,8,2]
[5,8,1,7,2,3,4,6]=>[6,4,3,2,7,1,8,5]
[8,7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7,8]
[5,8,7,2,3,1,6,4]=>[4,6,1,3,2,7,8,5]
[3,5,8,1,4,7,2,6]=>[6,2,7,4,1,8,5,3]
[8,5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5,8]
[3,8,7,5,2,6,4,1]=>[1,4,6,2,5,7,8,3]
[4,6,3,1,8,7,2,5]=>[5,2,7,8,1,3,6,4]
[8,3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3,8]
[3,8,7,5,1,2,6,4]=>[4,6,2,1,5,7,8,3]
[8,1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1,8]
[5,8,3,7,1,4,6,2]=>[2,6,4,1,7,3,8,5]
[3,8,7,4,2,6,5,1]=>[1,5,6,2,4,7,8,3]
[5,8,3,2,4,7,6,1]=>[1,6,7,4,2,3,8,5]
[8,4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4,8]
[5,8,2,1,3,4,7,6]=>[6,7,4,3,1,2,8,5]
[1,3,4,7,2,6,5,8]=>[8,5,6,2,7,4,3,1]
[2,5,1,4,3,6,7,8]=>[8,7,6,3,4,1,5,2]
[5,3,8,2,4,6,1,7]=>[7,1,6,4,2,8,3,5]
[4,5,8,3,2,6,1,7]=>[7,1,6,2,3,8,5,4]
[1,5,3,7,2,8,6,4]=>[4,6,8,2,7,3,5,1]
[3,4,7,1,2,8,6,5]=>[5,6,8,2,1,7,4,3]
[5,8,2,1,4,6,3,7]=>[7,3,6,4,1,2,8,5]
[4,1,5,8,3,6,2,7]=>[7,2,6,3,8,5,1,4]
[4,5,8,3,6,1,2,7]=>[7,2,1,6,3,8,5,4]
[6,1,7,8,3,5,2,4]=>[4,2,5,3,8,7,1,6]
[5,2,7,8,1,3,6,4]=>[4,6,3,1,8,7,2,5]
[2,6,7,8,3,1,5,4]=>[4,5,1,3,8,7,6,2]
[3,2,7,1,8,5,4,6]=>[6,4,5,8,1,7,2,3]
[4,7,8,5,2,3,1,6]=>[6,1,3,2,5,8,7,4]
[6,2,7,8,1,5,3,4]=>[4,3,5,1,8,7,2,6]
[2,7,1,3,8,5,4,6]=>[6,4,5,8,3,1,7,2]
[2,6,7,8,4,1,3,5]=>[5,3,1,4,8,7,6,2]
[2,6,7,8,4,3,1,5]=>[5,1,3,4,8,7,6,2]
[7,1,2,6,3,8,4,5]=>[5,4,8,3,6,2,1,7]
[8,1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1,8]
[8,1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1,8]
[8,3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3,8]
[8,5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5,8]
[8,5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5,8]
[7,3,8,1,2,5,4,6]=>[6,4,5,2,1,8,3,7]
[7,4,1,8,2,5,3,6]=>[6,3,5,2,8,1,4,7]
[6,4,1,7,2,8,3,5]=>[5,3,8,2,7,1,4,6]
[6,8,1,2,3,5,7,4]=>[4,7,5,3,2,1,8,6]
[7,3,4,1,2,8,6,5]=>[5,6,8,2,1,4,3,7]
[7,3,8,1,2,5,6,4]=>[4,6,5,2,1,8,3,7]
[7,2,1,8,3,6,4,5]=>[5,4,6,3,8,1,2,7]
[7,2,4,5,1,3,8,6]=>[6,8,3,1,5,4,2,7]
[7,1,8,3,2,4,5,6]=>[6,5,4,2,3,8,1,7]
[8,1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1,8]
[8,1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1,8]
[6,8,7,3,1,2,4,5]=>[5,4,2,1,3,7,8,6]
[7,4,8,3,1,2,6,5]=>[5,6,2,1,3,8,4,7]
[8,4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4,8]
[8,2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2,8]
[8,2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2,8]
[7,2,6,8,4,1,3,5]=>[5,3,1,4,8,6,2,7]
[7,2,5,1,6,8,3,4]=>[4,3,8,6,1,5,2,7]
[8,1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1,8]
[6,1,8,3,2,7,4,5]=>[5,4,7,2,3,8,1,6]
[7,5,1,6,4,8,2,3]=>[3,2,8,4,6,1,5,7]
[7,2,3,1,8,5,4,6]=>[6,4,5,8,1,3,2,7]
[6,2,1,7,4,8,3,5]=>[5,3,8,4,7,1,2,6]
[1,4,2,5,7,6,8,3]=>[3,8,6,7,5,2,4,1]
[1,3,4,6,8,5,2,7]=>[7,2,5,8,6,4,3,1]
[1,4,6,8,5,2,7,3]=>[3,7,2,5,8,6,4,1]
[1,3,4,6,8,5,7,2]=>[2,7,5,8,6,4,3,1]
[1,4,5,7,2,8,6,3]=>[3,6,8,2,7,5,4,1]
[1,7,4,3,2,5,6,8]=>[8,6,5,2,3,4,7,1]
[1,7,4,3,6,2,5,8]=>[8,5,2,6,3,4,7,1]
[3,7,5,8,2,4,6,1]=>[1,6,4,2,8,5,7,3]
[5,2,1,6,3,4,8,7]=>[7,8,4,3,6,1,2,5]
[5,1,3,4,6,2,8,7]=>[7,8,2,6,4,3,1,5]
[3,8,4,5,7,2,6,1]=>[1,6,2,7,5,4,8,3]
[3,8,4,7,5,6,2,1]=>[1,2,6,5,7,4,8,3]
[4,2,8,6,3,7,5,1]=>[1,5,7,3,6,8,2,4]
[4,1,7,6,3,8,5,2]=>[2,5,8,3,6,7,1,4]
[7,4,1,8,5,3,6,2]=>[2,6,3,5,8,1,4,7]
[3,5,6,8,4,7,1,2]=>[2,1,7,4,8,6,5,3]
[5,4,1,8,6,7,2,3]=>[3,2,7,6,8,1,4,5]
[6,2,8,4,5,3,7,1]=>[1,7,3,5,4,8,2,6]
[4,5,2,1,8,7,3,6]=>[6,3,7,8,1,2,5,4]
[4,7,3,8,2,6,5,1]=>[1,5,6,2,8,3,7,4]
[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]
[6,2,1,3,7,4,8,5]=>[5,8,4,7,3,1,2,6]
[6,3,7,1,2,5,8,4]=>[4,8,5,2,1,7,3,6]
[5,1,4,7,8,2,6,3]=>[3,6,2,8,7,4,1,5]
[7,2,5,8,1,3,6,4]=>[4,6,3,1,8,5,2,7]
[8,3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3,8]
[3,8,7,5,2,1,6,4]=>[4,6,1,2,5,7,8,3]
[3,8,5,6,2,7,4,1]=>[1,4,7,2,6,5,8,3]
[3,6,5,8,4,2,7,1]=>[1,7,2,4,8,5,6,3]
[6,8,3,2,5,7,4,1]=>[1,4,7,5,2,3,8,6]
[4,1,5,6,8,7,3,2]=>[2,3,7,8,6,5,1,4]
[8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]
[6,1,2,4,5,7,8,3]=>[3,8,7,5,4,2,1,6]
[4,5,1,3,7,6,8,2]=>[2,8,6,7,3,1,5,4]
[3,5,4,8,6,2,7,1]=>[1,7,2,6,8,4,5,3]
[3,6,2,4,5,8,7,1]=>[1,7,8,5,4,2,6,3]
[8,1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1,8]
[5,1,2,8,7,4,6,3]=>[3,6,4,7,8,2,1,5]
[7,1,3,4,8,5,6,2]=>[2,6,5,8,4,3,1,7]
[4,1,7,5,3,8,6,2]=>[2,6,8,3,5,7,1,4]
[5,1,2,8,6,7,4,3]=>[3,4,7,6,8,2,1,5]
[3,8,7,4,2,5,6,1]=>[1,6,5,2,4,7,8,3]
[7,6,3,5,1,8,4,2]=>[2,4,8,1,5,3,6,7]
[8,1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1,8]
[8,1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1,8]
[4,5,1,3,7,8,6,2]=>[2,6,8,7,3,1,5,4]
[2,6,4,8,3,1,5,7]=>[7,5,1,3,8,4,6,2]
[7,2,3,8,1,4,5,6]=>[6,5,4,1,8,3,2,7]
[7,2,3,8,1,4,6,5]=>[5,6,4,1,8,3,2,7]
[7,6,5,2,3,8,4,1]=>[1,4,8,3,2,5,6,7]
[2,6,4,1,5,8,7,3]=>[3,7,8,5,1,4,6,2]
[3,5,1,4,6,2,7,8]=>[8,7,2,6,4,1,5,3]
[7,6,5,2,4,3,8,1]=>[1,8,3,4,2,5,6,7]
[7,6,5,2,4,3,1,8]=>[8,1,3,4,2,5,6,7]
[7,2,3,5,1,4,8,6]=>[6,8,4,1,5,3,2,7]
[3,6,4,5,2,8,1,7]=>[7,1,8,2,5,4,6,3]
[7,5,1,8,3,6,2,4]=>[4,2,6,3,8,1,5,7]
[8,1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1,8]
[8,1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1,8]
[3,6,4,5,2,7,8,1]=>[1,8,7,2,5,4,6,3]
[7,2,3,5,1,4,6,8]=>[8,6,4,1,5,3,2,7]
[8,1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1,8]
[3,5,1,4,6,8,7,2]=>[2,7,8,6,4,1,5,3]
[7,6,5,4,1,3,8,2]=>[2,8,3,1,4,5,6,7]
[7,6,5,3,4,1,8,2]=>[2,8,1,4,3,5,6,7]
[7,6,5,2,8,3,1,4]=>[4,1,3,8,2,5,6,7]
[7,6,5,4,1,8,2,3]=>[3,2,8,1,4,5,6,7]
[3,6,4,1,5,7,2,8]=>[8,2,7,5,1,4,6,3]
[2,5,1,4,6,7,8,3]=>[3,8,7,6,4,1,5,2]
[8,1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1,8]
[2,5,1,4,6,7,3,8]=>[8,3,7,6,4,1,5,2]
[3,6,4,1,5,7,8,2]=>[2,8,7,5,1,4,6,3]
[7,6,5,2,8,4,1,3]=>[3,1,4,8,2,5,6,7]
[1,4,3,7,5,2,8,6]=>[6,8,2,5,7,3,4,1]
[3,1,6,5,2,8,7,4]=>[4,7,8,2,5,6,1,3]
[6,2,7,4,3,1,8,5]=>[5,8,1,3,4,7,2,6]
[1,7,2,4,3,5,8,6]=>[6,8,5,3,4,2,7,1]
[2,7,3,4,5,1,8,6]=>[6,8,1,5,4,3,7,2]
[5,2,7,4,8,3,6,1]=>[1,6,3,8,4,7,2,5]
[3,8,1,7,4,2,6,5]=>[5,6,2,4,7,1,8,3]
[8,1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1,8]
[6,8,2,4,5,3,7,1]=>[1,7,3,5,4,2,8,6]
[5,6,8,2,1,3,7,4]=>[4,7,3,1,2,8,6,5]
[4,8,5,3,6,1,7,2]=>[2,7,1,6,3,5,8,4]
[2,8,3,1,4,7,5,6]=>[6,5,7,4,1,3,8,2]
[6,4,3,1,8,7,2,5]=>[5,2,7,8,1,3,4,6]
[5,7,3,8,6,4,2,1]=>[1,2,4,6,8,3,7,5]
[8,6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6,8]
[7,3,6,5,4,8,1,2]=>[2,1,8,4,5,6,3,7]
[1,4,2,3,8,6,7,5]=>[5,7,6,8,3,2,4,1]
[6,4,3,5,1,8,2,7]=>[7,2,8,1,5,3,4,6]
[6,1,3,4,7,8,5,2]=>[2,5,8,7,4,3,1,6]
[2,7,3,1,8,4,5,6]=>[6,5,4,8,1,3,7,2]
[6,3,1,8,2,5,7,4]=>[4,7,5,2,8,1,3,6]
[3,6,1,8,4,5,7,2]=>[2,7,5,4,8,1,6,3]
[5,2,8,7,3,4,6,1]=>[1,6,4,3,7,8,2,5]
[2,4,8,7,3,6,1,5]=>[5,1,6,3,7,8,4,2]
[1,6,8,4,5,3,7,2]=>[2,7,3,5,4,8,6,1]
[1,2,8,3,5,6,4,7]=>[7,4,6,5,3,8,2,1]
[3,5,7,4,8,1,6,2]=>[2,6,1,8,4,7,5,3]
[4,2,8,3,1,5,7,6]=>[6,7,5,1,3,8,2,4]
[2,8,1,3,5,4,6,7]=>[7,6,4,5,3,1,8,2]
[1,8,4,2,5,6,3,7]=>[7,3,6,5,2,4,8,1]
[1,5,2,8,6,4,3,7]=>[7,3,4,6,8,2,5,1]
[7,4,8,6,3,1,2,5]=>[5,2,1,3,6,8,4,7]
[3,6,8,4,1,2,5,7]=>[7,5,2,1,4,8,6,3]
[4,7,8,5,2,1,3,6]=>[6,3,1,2,5,8,7,4]
[6,1,5,2,8,7,3,4]=>[4,3,7,8,2,5,1,6]
[8,1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1,8]
[3,1,8,5,4,7,2,6]=>[6,2,7,4,5,8,1,3]
[3,1,6,4,8,5,2,7]=>[7,2,5,8,4,6,1,3]
[5,1,3,4,2,6,8,7]=>[7,8,6,2,4,3,1,5]
[3,2,6,4,1,5,7,8]=>[8,7,5,1,4,6,2,3]
[5,4,2,1,8,3,6,7]=>[7,6,3,8,1,2,4,5]
[4,2,5,1,8,7,3,6]=>[6,3,7,8,1,5,2,4]
[6,8,2,7,1,4,3,5]=>[5,3,4,1,7,2,8,6]
[1,8,4,7,3,2,5,6]=>[6,5,2,3,7,4,8,1]
[8,6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6,8]
[5,8,3,1,4,7,6,2]=>[2,6,7,4,1,3,8,5]
[1,2,5,4,7,8,3,6]=>[6,3,8,7,4,5,2,1]
[1,8,3,2,6,4,7,5]=>[5,7,4,6,2,3,8,1]
[4,7,1,2,5,3,6,8]=>[8,6,3,5,2,1,7,4]
[6,8,4,1,3,7,2,5]=>[5,2,7,3,1,4,8,6]
[3,2,6,1,7,8,5,4]=>[4,5,8,7,1,6,2,3]
[7,6,4,1,8,3,5,2]=>[2,5,3,8,1,4,6,7]
[5,4,1,6,7,3,2,8]=>[8,2,3,7,6,1,4,5]
[7,4,1,6,5,8,2,3]=>[3,2,8,5,6,1,4,7]
[8,5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5,8]
[6,5,7,3,2,8,4,1]=>[1,4,8,2,3,7,5,6]
[6,4,1,2,7,5,3,8]=>[8,3,5,7,2,1,4,6]
[7,4,3,5,2,8,6,1]=>[1,6,8,2,5,3,4,7]
[5,2,8,3,6,4,7,1]=>[1,7,4,6,3,8,2,5]
[5,4,6,1,2,7,3,8]=>[8,3,7,2,1,6,4,5]
[8,5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5,8]
[8,5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5,8]
[5,2,6,4,8,1,3,7]=>[7,3,1,8,4,6,2,5]
[5,2,1,6,4,7,8,3]=>[3,8,7,4,6,1,2,5]
[1,6,2,3,5,7,8,4]=>[4,8,7,5,3,2,6,1]
[7,2,5,1,3,4,8,6]=>[6,8,4,3,1,5,2,7]
[1,3,4,8,5,2,6,7]=>[7,6,2,5,8,4,3,1]
[8,2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2,8]
[6,2,7,5,1,3,4,8]=>[8,4,3,1,5,7,2,6]
[6,5,7,1,2,3,8,4]=>[4,8,3,2,1,7,5,6]
[3,2,7,4,1,5,6,8]=>[8,6,5,1,4,7,2,3]
[4,7,2,1,5,6,8,3]=>[3,8,6,5,1,2,7,4]
[7,2,3,5,8,6,1,4]=>[4,1,6,8,5,3,2,7]
[5,8,2,3,6,7,1,4]=>[4,1,7,6,3,2,8,5]
[1,5,7,2,3,6,8,4]=>[4,8,6,3,2,7,5,1]
[8,4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4,8]
[4,2,7,1,5,3,6,8]=>[8,6,3,5,1,7,2,4]
[7,3,1,4,2,5,8,6]=>[6,8,5,2,4,1,3,7]
[3,2,5,7,8,4,1,6]=>[6,1,4,8,7,5,2,3]
[3,4,7,8,2,5,1,6]=>[6,1,5,2,8,7,4,3]
[4,2,5,3,7,8,1,6]=>[6,1,8,7,3,5,2,4]
[4,3,5,1,6,2,7,8]=>[8,7,2,6,1,5,3,4]
[8,6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6,8]
[8,3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3,8]
[8,5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5,8]
[4,8,1,7,6,3,5,2]=>[2,5,3,6,7,1,8,4]
[8,5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5,8]
[8,5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5,8]
[5,4,8,3,1,7,2,6]=>[6,2,7,1,3,8,4,5]
[5,1,4,8,3,2,7,6]=>[6,7,2,3,8,4,1,5]
[4,8,1,7,6,5,2,3]=>[3,2,5,6,7,1,8,4]
[4,3,8,7,2,6,1,5]=>[5,1,6,2,7,8,3,4]
[3,8,7,2,6,4,1,5]=>[5,1,4,6,2,7,8,3]
[8,2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2,8]
[3,8,7,4,6,1,2,5]=>[5,2,1,6,4,7,8,3]
[8,7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7,8]
[2,8,4,7,6,1,5,3]=>[3,5,1,6,7,4,8,2]
[2,5,4,8,3,1,7,6]=>[6,7,1,3,8,4,5,2]
[5,4,8,2,1,3,7,6]=>[6,7,3,1,2,8,4,5]
[3,8,7,2,6,1,5,4]=>[4,5,1,6,2,7,8,3]
[1,8,4,7,6,3,5,2]=>[2,5,3,6,7,4,8,1]
[1,8,3,7,6,5,2,4]=>[4,2,5,6,7,3,8,1]
[1,4,3,8,7,2,6,5]=>[5,6,2,7,8,3,4,1]
[7,1,5,4,6,2,3,8]=>[8,3,2,6,4,5,1,7]
[7,8,1,5,2,3,6,4]=>[4,6,3,2,5,1,8,7]
[7,4,1,3,6,2,5,8]=>[8,5,2,6,3,1,4,7]
[5,6,1,8,4,2,7,3]=>[3,7,2,4,8,1,6,5]
[7,8,6,4,1,5,3,2]=>[2,3,5,1,4,6,8,7]
[5,4,3,1,7,6,2,8]=>[8,2,6,7,1,3,4,5]
[3,1,6,5,7,4,2,8]=>[8,2,4,7,5,6,1,3]
[4,1,3,7,5,6,2,8]=>[8,2,6,5,7,3,1,4]
[5,6,1,7,4,2,3,8]=>[8,3,2,4,7,1,6,5]
[4,2,7,8,5,1,6,3]=>[3,6,1,5,8,7,2,4]
[7,3,8,6,4,5,2,1]=>[1,2,5,4,6,8,3,7]
[3,8,6,1,7,4,2,5]=>[5,2,4,7,1,6,8,3]
[2,6,8,3,1,7,4,5]=>[5,4,7,1,3,8,6,2]
[2,5,4,8,1,7,3,6]=>[6,3,7,1,8,4,5,2]
[7,5,2,4,8,3,6,1]=>[1,6,3,8,4,2,5,7]
[7,6,2,8,4,3,5,1]=>[1,5,3,4,8,2,6,7]
[6,8,1,2,5,7,3,4]=>[4,3,7,5,2,1,8,6]
[7,8,2,6,3,5,4,1]=>[1,4,5,3,6,2,8,7]
[3,8,6,4,7,5,2,1]=>[1,2,5,7,4,6,8,3]
[7,2,6,5,8,3,4,1]=>[1,4,3,8,5,6,2,7]
[5,6,3,1,4,2,7,8]=>[8,7,2,4,1,3,6,5]
[2,6,5,3,4,8,7,1]=>[1,7,8,4,3,5,6,2]
[3,1,5,4,2,6,7,8]=>[8,7,6,2,4,5,1,3]
[2,6,1,5,3,4,7,8]=>[8,7,4,3,5,1,6,2]
[5,2,3,6,7,4,1,8]=>[8,1,4,7,6,3,2,5]
[3,6,2,7,4,5,1,8]=>[8,1,5,4,7,2,6,3]
[2,3,7,1,6,4,5,8]=>[8,5,4,6,1,7,3,2]
[3,4,7,8,5,1,6,2]=>[2,6,1,5,8,7,4,3]
[3,6,2,4,7,8,5,1]=>[1,5,8,7,4,2,6,3]
[5,2,3,6,4,8,7,1]=>[1,7,8,4,6,3,2,5]
[8,7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7,8]
[3,7,6,2,5,4,8,1]=>[1,8,4,5,2,6,7,3]
[5,3,6,4,8,7,2,1]=>[1,2,7,8,4,6,3,5]
[1,5,4,8,6,2,7,3]=>[3,7,2,6,8,4,5,1]
[4,5,2,7,6,3,8,1]=>[1,8,3,6,7,2,5,4]
[7,5,1,2,6,4,8,3]=>[3,8,4,6,2,1,5,7]
[5,3,8,1,2,7,6,4]=>[4,6,7,2,1,8,3,5]
[2,1,8,6,5,3,7,4]=>[4,7,3,5,6,8,1,2]
[5,8,3,1,2,7,6,4]=>[4,6,7,2,1,3,8,5]
[7,6,2,5,3,8,4,1]=>[1,4,8,3,5,2,6,7]
[7,3,4,6,5,8,2,1]=>[1,2,8,5,6,4,3,7]
[6,5,2,4,7,3,8,1]=>[1,8,3,7,4,2,5,6]
[6,1,5,7,4,8,2,3]=>[3,2,8,4,7,5,1,6]
[8,1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1,8]
[8,4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4,8]
[8,4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4,8]
[7,4,6,1,5,8,2,3]=>[3,2,8,5,1,6,4,7]
[4,8,5,1,2,3,6,7]=>[7,6,3,2,1,5,8,4]
[8,6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6,8]
[4,5,1,3,8,6,2,7]=>[7,2,6,8,3,1,5,4]
[8,5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5,8]
[4,2,7,1,3,6,8,5]=>[5,8,6,3,1,7,2,4]
[8,3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3,8]
[8,4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4,8]
[5,8,3,6,4,7,2,1]=>[1,2,7,4,6,3,8,5]
[1,5,8,4,6,2,7,3]=>[3,7,2,6,4,8,5,1]
[1,7,5,6,2,8,4,3]=>[3,4,8,2,6,5,7,1]
[7,3,6,5,8,4,2,1]=>[1,2,4,8,5,6,3,7]
[5,4,6,8,3,2,7,1]=>[1,7,2,3,8,6,4,5]
[7,4,2,3,6,8,5,1]=>[1,5,8,6,3,2,4,7]
[2,7,3,8,5,4,6,1]=>[1,6,4,5,8,3,7,2]
[2,1,6,7,4,8,3,5]=>[5,3,8,4,7,6,1,2]
[7,4,8,5,1,2,6,3]=>[3,6,2,1,5,8,4,7]
[6,4,5,7,2,8,3,1]=>[1,3,8,2,7,5,4,6]
[1,5,6,4,7,2,8,3]=>[3,8,2,7,4,6,5,1]
[7,8,1,3,6,4,5,2]=>[2,5,4,6,3,1,8,7]
[7,2,6,8,4,5,3,1]=>[1,3,5,4,8,6,2,7]
[7,3,6,8,5,1,4,2]=>[2,4,1,5,8,6,3,7]
[7,5,8,1,6,2,4,3]=>[3,4,2,6,1,8,5,7]
[5,7,8,1,6,3,2,4]=>[4,2,3,6,1,8,7,5]
[7,2,6,8,5,1,4,3]=>[3,4,1,5,8,6,2,7]
[7,5,2,4,8,3,1,6]=>[6,1,3,8,4,2,5,7]
[7,8,3,1,6,2,5,4]=>[4,5,2,6,1,3,8,7]
[6,7,8,4,3,1,5,2]=>[2,5,1,3,4,8,7,6]
[7,8,3,6,4,1,5,2]=>[2,5,1,4,6,3,8,7]
[7,3,8,1,6,4,5,2]=>[2,5,4,6,1,8,3,7]
[1,7,5,8,2,4,6,3]=>[3,6,4,2,8,5,7,1]
[7,5,2,8,1,4,6,3]=>[3,6,4,1,8,2,5,7]
[3,7,8,2,6,5,1,4]=>[4,1,5,6,2,8,7,3]
[3,7,8,2,1,6,4,5]=>[5,4,6,1,2,8,7,3]
[7,8,1,6,3,5,4,2]=>[2,4,5,3,6,1,8,7]
[6,7,8,2,5,4,3,1]=>[1,3,4,5,2,8,7,6]
[6,7,8,3,1,5,4,2]=>[2,4,5,1,3,8,7,6]
[7,8,1,6,2,5,4,3]=>[3,4,5,2,6,1,8,7]
[5,6,1,4,3,8,2,7]=>[7,2,8,3,4,1,6,5]
[4,1,8,3,7,6,5,2]=>[2,5,6,7,3,8,1,4]
[5,1,6,8,3,4,7,2]=>[2,7,4,3,8,6,1,5]
[7,1,6,8,5,4,3,2]=>[2,3,4,5,8,6,1,7]
[8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8]
[4,7,6,2,5,3,1,8]=>[8,1,3,5,2,6,7,4]
[7,8,1,6,5,4,2,3]=>[3,2,4,5,6,1,8,7]
[3,5,2,8,4,1,7,6]=>[6,7,1,4,8,2,5,3]
[3,6,2,8,5,4,1,7]=>[7,1,4,5,8,2,6,3]
[8,4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4,8]
[4,6,8,2,5,3,1,7]=>[7,1,3,5,2,8,6,4]
[4,5,8,2,3,6,1,7]=>[7,1,6,3,2,8,5,4]
[7,6,8,1,5,3,2,4]=>[4,2,3,5,1,8,6,7]
[8,6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6,8]
[6,8,7,4,1,2,3,5]=>[5,3,2,1,4,7,8,6]
[5,6,8,1,2,3,7,4]=>[4,7,3,2,1,8,6,5]
[5,6,1,8,2,4,7,3]=>[3,7,4,2,8,1,6,5]
[8,5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5,8]
[4,8,1,2,7,6,5,3]=>[3,5,6,7,2,1,8,4]
[4,6,1,2,8,5,7,3]=>[3,7,5,8,2,1,6,4]
[3,6,2,1,8,5,7,4]=>[4,7,5,8,1,2,6,3]
[3,7,2,1,8,6,5,4]=>[4,5,6,8,1,2,7,3]
[5,4,7,3,2,6,1,8]=>[8,1,6,2,3,7,4,5]
[6,4,7,3,5,2,1,8]=>[8,1,2,5,3,7,4,6]
[3,8,2,7,5,1,4,6]=>[6,4,1,5,7,2,8,3]
[3,6,2,8,1,4,7,5]=>[5,7,4,1,8,2,6,3]
[4,7,8,2,1,6,3,5]=>[5,3,6,1,2,8,7,4]
[5,7,8,4,2,1,3,6]=>[6,3,1,2,4,8,7,5]
[7,5,8,4,3,1,2,6]=>[6,2,1,3,4,8,5,7]
[6,4,8,3,1,2,7,5]=>[5,7,2,1,3,8,4,6]
[6,4,8,3,5,2,1,7]=>[7,1,2,5,3,8,4,6]
[3,1,6,2,5,7,8,4]=>[4,8,7,5,2,6,1,3]
[3,1,6,5,7,8,2,4]=>[4,2,8,7,5,6,1,3]
[2,1,6,3,5,7,4,8]=>[8,4,7,5,3,6,1,2]
[1,6,4,5,2,7,3,8]=>[8,3,7,2,5,4,6,1]
[1,6,5,2,7,3,4,8]=>[8,4,3,7,2,5,6,1]
[1,4,7,3,2,5,6,8]=>[8,6,5,2,3,7,4,1]
[2,1,6,5,7,3,4,8]=>[8,4,3,7,5,6,1,2]
[2,1,6,7,4,3,5,8]=>[8,5,3,4,7,6,1,2]
[2,7,4,3,5,1,6,8]=>[8,6,1,5,3,4,7,2]
[7,1,4,3,5,2,6,8]=>[8,6,2,5,3,4,1,7]
[3,1,6,7,4,2,5,8]=>[8,5,2,4,7,6,1,3]
[6,1,7,2,4,3,5,8]=>[8,5,3,4,2,7,1,6]
[1,3,7,4,5,2,6,8]=>[8,6,2,5,4,7,3,1]
[1,5,7,2,6,3,4,8]=>[8,4,3,6,2,7,5,1]
[6,2,1,4,5,3,7,8]=>[8,7,3,5,4,1,2,6]
[6,2,1,5,7,3,4,8]=>[8,4,3,7,5,1,2,6]
[6,2,4,8,3,5,1,7]=>[7,1,5,3,8,4,2,6]
[2,7,4,5,3,1,6,8]=>[8,6,1,3,5,4,7,2]
[5,3,7,4,2,1,6,8]=>[8,6,1,2,4,7,3,5]
[1,2,4,6,8,3,7,5]=>[5,7,3,8,6,4,2,1]
[1,3,5,8,2,6,7,4]=>[4,7,6,2,8,5,3,1]
[6,1,3,7,2,8,5,4]=>[4,5,8,2,7,3,1,6]
[2,1,8,3,6,5,4,7]=>[7,4,5,6,3,8,1,2]
[2,8,7,3,6,5,4,1]=>[1,4,5,6,3,7,8,2]
[6,4,5,8,3,7,1,2]=>[2,1,7,3,8,5,4,6]
[8,1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1,8]
[2,6,8,4,3,1,7,5]=>[5,7,1,3,4,8,6,2]
[3,8,5,1,6,2,4,7]=>[7,4,2,6,1,5,8,3]
[8,1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1,8]
[8,1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1,8]
[3,8,6,5,1,2,4,7]=>[7,4,2,1,5,6,8,3]
[1,4,5,7,8,3,2,6]=>[6,2,3,8,7,5,4,1]
[1,6,7,4,2,8,3,5]=>[5,3,8,2,4,7,6,1]
[1,7,8,4,3,6,2,5]=>[5,2,6,3,4,8,7,1]
[5,7,8,1,4,3,2,6]=>[6,2,3,4,1,8,7,5]
[1,5,8,7,4,3,2,6]=>[6,2,3,4,7,8,5,1]
[5,1,3,7,8,2,4,6]=>[6,4,2,8,7,3,1,5]
[1,7,8,4,3,2,6,5]=>[5,6,2,3,4,8,7,1]
[1,4,7,2,3,6,8,5]=>[5,8,6,3,2,7,4,1]
[3,1,2,6,7,8,5,4]=>[4,5,8,7,6,2,1,3]
[2,7,1,4,3,5,8,6]=>[6,8,5,3,4,1,7,2]
[8,1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1,8]
[3,8,1,6,4,2,7,5]=>[5,7,2,4,6,1,8,3]
[8,5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5,8]
[2,1,6,3,8,7,5,4]=>[4,5,7,8,3,6,1,2]
[1,6,3,4,7,8,2,5]=>[5,2,8,7,4,3,6,1]
[3,1,5,7,6,2,8,4]=>[4,8,2,6,7,5,1,3]
[6,3,1,4,2,7,8,5]=>[5,8,7,2,4,1,3,6]
[2,4,3,7,6,1,8,5]=>[5,8,1,6,7,3,4,2]
[3,1,7,6,5,2,8,4]=>[4,8,2,5,6,7,1,3]
[1,4,7,6,8,3,2,5]=>[5,2,3,8,6,7,4,1]
[7,2,1,5,6,3,8,4]=>[4,8,3,6,5,1,2,7]
[4,3,1,8,6,2,7,5]=>[5,7,2,6,8,1,3,4]
[3,1,5,2,8,7,6,4]=>[4,6,7,8,2,5,1,3]
[1,2,8,4,3,7,6,5]=>[5,6,7,3,4,8,2,1]
[2,6,1,8,7,4,3,5]=>[5,3,4,7,8,1,6,2]
[7,5,1,8,3,2,6,4]=>[4,6,2,3,8,1,5,7]
[4,7,6,3,1,8,2,5]=>[5,2,8,1,3,6,7,4]
[5,3,1,8,6,2,4,7]=>[7,4,2,6,8,1,3,5]
[5,1,8,6,3,2,4,7]=>[7,4,2,3,6,8,1,5]
[1,5,4,2,8,6,3,7]=>[7,3,6,8,2,4,5,1]
[1,4,2,8,5,3,7,6]=>[6,7,3,5,8,2,4,1]
[8,3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3,8]
[1,7,4,8,3,5,2,6]=>[6,2,5,3,8,4,7,1]
[7,3,2,4,8,5,1,6]=>[6,1,5,8,4,2,3,7]
[5,7,8,1,4,2,6,3]=>[3,6,2,4,1,8,7,5]
[2,6,3,8,1,7,5,4]=>[4,5,7,1,8,3,6,2]
[2,5,1,8,6,3,7,4]=>[4,7,3,6,8,1,5,2]
[2,8,6,4,1,7,3,5]=>[5,3,7,1,4,6,8,2]
[1,8,4,2,7,5,3,6]=>[6,3,5,7,2,4,8,1]
[6,5,1,7,2,8,4,3]=>[3,4,8,2,7,1,5,6]
[2,8,1,7,5,3,6,4]=>[4,6,3,5,7,1,8,2]
[1,2,8,7,6,4,3,5]=>[5,3,4,6,7,8,2,1]
[4,1,7,8,6,3,5,2]=>[2,5,3,6,8,7,1,4]
[1,6,5,7,8,4,2,3]=>[3,2,4,8,7,5,6,1]
[4,1,8,7,6,3,5,2]=>[2,5,3,6,7,8,1,4]
[4,8,2,6,3,5,1,7]=>[7,1,5,3,6,2,8,4]
[4,3,5,7,1,6,2,8]=>[8,2,6,1,7,5,3,4]
[4,1,8,5,3,6,2,7]=>[7,2,6,3,5,8,1,4]
[6,4,2,5,3,1,7,8]=>[8,7,1,3,5,2,4,6]
[3,1,5,8,2,7,4,6]=>[6,4,7,2,8,5,1,3]
[6,4,1,5,3,2,7,8]=>[8,7,2,3,5,1,4,6]
[6,2,1,5,4,3,7,8]=>[8,7,3,4,5,1,2,6]
[3,1,8,5,4,6,2,7]=>[7,2,6,4,5,8,1,3]
[6,1,8,4,5,3,2,7]=>[7,2,3,5,4,8,1,6]
[4,5,2,7,1,6,3,8]=>[8,3,6,1,7,2,5,4]
[4,3,5,7,1,6,8,2]=>[2,8,6,1,7,5,3,4]
[4,1,8,5,3,6,7,2]=>[2,7,6,3,5,8,1,4]
[6,3,8,4,5,1,7,2]=>[2,7,1,5,4,8,3,6]
[3,1,6,8,5,7,4,2]=>[2,4,7,5,8,6,1,3]
[2,6,1,8,5,7,4,3]=>[3,4,7,5,8,1,6,2]
[6,3,8,4,5,2,1,7]=>[7,1,2,5,4,8,3,6]
[6,5,8,7,2,3,4,1]=>[1,4,3,2,7,8,5,6]
[6,3,8,4,5,2,7,1]=>[1,7,2,5,4,8,3,6]
[2,1,6,8,5,3,7,4]=>[4,7,3,5,8,6,1,2]
[4,1,8,5,2,6,3,7]=>[7,3,6,2,5,8,1,4]
[3,1,6,8,5,2,4,7]=>[7,4,2,5,8,6,1,3]
[6,5,8,7,4,1,2,3]=>[3,2,1,4,7,8,5,6]
[6,5,8,7,4,2,1,3]=>[3,1,2,4,7,8,5,6]
[6,5,8,7,2,4,1,3]=>[3,1,4,2,7,8,5,6]
[6,2,8,4,5,7,1,3]=>[3,1,7,5,4,8,2,6]
[6,1,8,4,5,7,3,2]=>[2,3,7,5,4,8,1,6]
[4,2,7,3,5,8,6,1]=>[1,6,8,5,3,7,2,4]
[3,6,2,4,8,5,7,1]=>[1,7,5,8,4,2,6,3]
[4,7,3,5,2,8,6,1]=>[1,6,8,2,5,3,7,4]
[2,7,5,4,3,8,6,1]=>[1,6,8,3,4,5,7,2]
[3,5,1,8,4,7,6,2]=>[2,6,7,4,8,1,5,3]
[3,6,1,8,5,4,7,2]=>[2,7,4,5,8,1,6,3]
[4,7,2,3,8,6,5,1]=>[1,5,6,8,3,2,7,4]
[2,4,8,3,7,6,5,1]=>[1,5,6,7,3,8,4,2]
[3,6,8,2,5,7,4,1]=>[1,4,7,5,2,8,6,3]
[5,1,7,8,4,6,3,2]=>[2,3,6,4,8,7,1,5]
[5,7,4,8,3,2,6,1]=>[1,6,2,3,8,4,7,5]
[2,6,8,5,4,3,7,1]=>[1,7,3,4,5,8,6,2]
[3,6,8,2,5,4,7,1]=>[1,7,4,5,2,8,6,3]
[4,6,8,3,2,5,7,1]=>[1,7,5,2,3,8,6,4]
[4,6,2,8,3,5,7,1]=>[1,7,5,3,8,2,6,4]
[3,6,1,8,5,7,4,2]=>[2,4,7,5,8,1,6,3]
[5,2,6,8,4,1,7,3]=>[3,7,1,4,8,6,2,5]
[4,6,3,8,7,2,5,1]=>[1,5,2,7,8,3,6,4]
[5,7,2,4,8,6,3,1]=>[1,3,6,8,4,2,7,5]
[3,5,8,2,7,4,6,1]=>[1,6,4,7,2,8,5,3]
[2,6,7,8,5,1,4,3]=>[3,4,1,5,8,7,6,2]
[2,6,8,5,7,4,3,1]=>[1,3,4,7,5,8,6,2]
[2,4,8,7,6,3,5,1]=>[1,5,3,6,7,8,4,2]
[6,5,3,1,7,4,8,2]=>[2,8,4,7,1,3,5,6]
[6,4,1,7,2,5,8,3]=>[3,8,5,2,7,1,4,6]
[7,5,1,6,3,2,8,4]=>[4,8,2,3,6,1,5,7]
[7,1,5,2,3,8,4,6]=>[6,4,8,3,2,5,1,7]
[2,7,6,3,4,1,8,5]=>[5,8,1,4,3,6,7,2]
[5,7,6,3,1,2,8,4]=>[4,8,2,1,3,6,7,5]
[8,6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6,8]
[1,6,4,3,2,8,5,7]=>[7,5,8,2,3,4,6,1]
[6,7,5,1,4,8,2,3]=>[3,2,8,4,1,5,7,6]
[7,8,5,4,2,6,3,1]=>[1,3,6,2,4,5,8,7]
[4,8,2,1,7,5,6,3]=>[3,6,5,7,1,2,8,4]
[6,3,8,5,7,2,4,1]=>[1,4,2,7,5,8,3,6]
[1,5,4,8,6,2,3,7]=>[7,3,2,6,8,4,5,1]
[8,2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2,8]
[8,3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3,8]
[2,5,1,7,4,8,3,6]=>[6,3,8,4,7,1,5,2]
[5,1,7,4,2,8,3,6]=>[6,3,8,2,4,7,1,5]
[8,2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2,8]
[5,3,2,8,7,6,1,4]=>[4,1,6,7,8,2,3,5]
[6,2,8,1,7,5,3,4]=>[4,3,5,7,1,8,2,6]
[3,2,6,8,1,7,5,4]=>[4,5,7,1,8,6,2,3]
[4,2,8,7,5,1,6,3]=>[3,6,1,5,7,8,2,4]
[8,3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3,8]
[5,2,8,7,6,3,1,4]=>[4,1,3,6,7,8,2,5]
[3,5,1,8,7,6,2,4]=>[4,2,6,7,8,1,5,3]
[5,6,2,7,8,1,3,4]=>[4,3,1,8,7,2,6,5]
[2,7,5,1,3,4,6,8]=>[8,6,4,3,1,5,7,2]
[4,7,3,1,2,5,6,8]=>[8,6,5,2,1,3,7,4]
[4,7,3,5,6,1,2,8]=>[8,2,1,6,5,3,7,4]
[4,7,3,5,6,8,1,2]=>[2,1,8,6,5,3,7,4]
[4,7,8,3,5,6,1,2]=>[2,1,6,5,3,8,7,4]
[4,7,8,3,5,1,2,6]=>[6,2,1,5,3,8,7,4]
[7,8,5,2,6,1,3,4]=>[4,3,1,6,2,5,8,7]
[3,2,5,1,4,8,6,7]=>[7,6,8,4,1,5,2,3]
[3,2,5,6,8,4,7,1]=>[1,7,4,8,6,5,2,3]
[8,4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4,8]
[8,4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4,8]
[2,5,6,4,8,3,7,1]=>[1,7,3,8,4,6,5,2]
[5,3,2,4,7,8,1,6]=>[6,1,8,7,4,2,3,5]
[4,2,5,7,3,8,1,6]=>[6,1,8,3,7,5,2,4]
[4,7,3,1,6,8,2,5]=>[5,2,8,6,1,3,7,4]
[4,2,3,6,7,1,8,5]=>[5,8,1,7,6,3,2,4]
[4,2,7,6,8,1,3,5]=>[5,3,1,8,6,7,2,4]
[1,7,4,6,8,3,2,5]=>[5,2,3,8,6,4,7,1]
[1,2,5,7,6,3,8,4]=>[4,8,3,6,7,5,2,1]
[6,4,3,2,7,1,8,5]=>[5,8,1,7,2,3,4,6]
[1,3,7,8,6,5,2,4]=>[4,2,5,6,8,7,3,1]
[1,6,5,7,3,2,8,4]=>[4,8,2,3,7,5,6,1]
[5,2,6,8,1,7,3,4]=>[4,3,7,1,8,6,2,5]
[5,2,6,7,1,3,8,4]=>[4,8,3,1,7,6,2,5]
[6,2,4,3,7,1,8,5]=>[5,8,1,7,3,4,2,6]
[5,2,7,6,1,8,3,4]=>[4,3,8,1,6,7,2,5]
[5,6,3,7,1,2,8,4]=>[4,8,2,1,7,3,6,5]
[4,7,2,5,6,3,1,8]=>[8,1,3,6,5,2,7,4]
[1,3,2,7,6,4,8,5]=>[5,8,4,6,7,2,3,1]
[6,2,1,7,3,4,5,8]=>[8,5,4,3,7,1,2,6]
[5,4,1,3,7,8,2,6]=>[6,2,8,7,3,1,4,5]
[5,1,3,6,7,8,2,4]=>[4,2,8,7,6,3,1,5]
[6,1,5,8,3,7,2,4]=>[4,2,7,3,8,5,1,6]
[4,1,2,7,5,3,8,6]=>[6,8,3,5,7,2,1,4]
[4,1,3,5,7,8,2,6]=>[6,2,8,7,5,3,1,4]
[1,2,4,7,5,3,8,6]=>[6,8,3,5,7,4,2,1]
[6,1,5,8,4,3,2,7]=>[7,2,3,4,8,5,1,6]
[7,2,1,6,8,3,5,4]=>[4,5,3,8,6,1,2,7]
[5,1,4,3,7,8,2,6]=>[6,2,8,7,3,4,1,5]
[6,1,3,7,2,4,8,5]=>[5,8,4,2,7,3,1,6]
[5,6,4,1,8,3,2,7]=>[7,2,3,8,1,4,6,5]
[4,5,2,1,7,8,3,6]=>[6,3,8,7,1,2,5,4]
[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]
[2,3,7,8,5,1,6,4]=>[4,6,1,5,8,7,3,2]
[6,2,8,5,7,4,3,1]=>[1,3,4,7,5,8,2,6]
[4,1,7,6,2,3,8,5]=>[5,8,3,2,6,7,1,4]
[1,2,6,7,4,3,5,8]=>[8,5,3,4,7,6,2,1]
[3,6,7,4,5,1,8,2]=>[2,8,1,5,4,7,6,3]
[5,8,6,3,4,1,2,7]=>[7,2,1,4,3,6,8,5]
[6,2,3,1,8,5,4,7]=>[7,4,5,8,1,3,2,6]
[5,1,2,6,4,8,3,7]=>[7,3,8,4,6,2,1,5]
[8,6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6,8]
[4,5,2,8,6,1,3,7]=>[7,3,1,6,8,2,5,4]
[3,4,8,2,5,6,1,7]=>[7,1,6,5,2,8,4,3]
[8,5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5,8]
[2,8,3,6,7,4,5,1]=>[1,5,4,7,6,3,8,2]
[2,5,7,8,3,4,6,1]=>[1,6,4,3,8,7,5,2]
[8,1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1,8]
[8,1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1,8]
[6,3,7,8,5,1,4,2]=>[2,4,1,5,8,7,3,6]
[6,8,2,7,5,3,1,4]=>[4,1,3,5,7,2,8,6]
[6,3,2,5,8,4,1,7]=>[7,1,4,8,5,2,3,6]
[5,6,7,2,8,4,1,3]=>[3,1,4,8,2,7,6,5]
[6,8,7,1,3,5,2,4]=>[4,2,5,3,1,7,8,6]
[5,8,3,6,4,1,7,2]=>[2,7,1,4,6,3,8,5]
[7,5,4,6,1,3,8,2]=>[2,8,3,1,6,4,5,7]
[4,3,8,5,2,7,1,6]=>[6,1,7,2,5,8,3,4]
[5,6,8,2,4,3,1,7]=>[7,1,3,4,2,8,6,5]
[7,5,8,3,2,1,4,6]=>[6,4,1,2,3,8,5,7]
[3,6,4,5,7,2,1,8]=>[8,1,2,7,5,4,6,3]
[3,6,7,4,5,2,1,8]=>[8,1,2,5,4,7,6,3]
[4,6,8,5,7,1,3,2]=>[2,3,1,7,5,8,6,4]
[2,4,7,1,5,8,3,6]=>[6,3,8,5,1,7,4,2]
[8,1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1,8]
[3,5,7,1,6,4,8,2]=>[2,8,4,6,1,7,5,3]
[3,6,5,1,7,4,2,8]=>[8,2,4,7,1,5,6,3]
[2,8,4,5,1,6,3,7]=>[7,3,6,1,5,4,8,2]
[2,6,7,4,1,5,3,8]=>[8,3,5,1,4,7,6,2]
[3,2,5,8,4,7,1,6]=>[6,1,7,4,8,5,2,3]
[8,5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5,8]
[2,5,8,1,3,4,7,6]=>[6,7,4,3,1,8,5,2]
[3,5,1,8,7,4,2,6]=>[6,2,4,7,8,1,5,3]
[1,4,8,7,5,2,3,6]=>[6,3,2,5,7,8,4,1]
[6,7,1,2,5,3,8,4]=>[4,8,3,5,2,1,7,6]
[7,8,6,1,2,5,3,4]=>[4,3,5,2,1,6,8,7]
[4,6,1,3,8,2,7,5]=>[5,7,2,8,3,1,6,4]
[8,5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5,8]
[6,8,1,2,3,7,5,4]=>[4,5,7,3,2,1,8,6]
[2,3,7,4,8,6,1,5]=>[5,1,6,8,4,7,3,2]
[7,3,1,8,4,6,2,5]=>[5,2,6,4,8,1,3,7]
[2,3,7,6,8,1,4,5]=>[5,4,1,8,6,7,3,2]
[3,5,1,8,4,7,2,6]=>[6,2,7,4,8,1,5,3]
[7,6,1,2,3,5,8,4]=>[4,8,5,3,2,1,6,7]
[8,6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6,8]
[8,2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2,8]
[7,5,1,2,6,3,8,4]=>[4,8,3,6,2,1,5,7]
[6,2,1,7,4,8,5,3]=>[3,5,8,4,7,1,2,6]
[5,1,7,8,3,2,4,6]=>[6,4,2,3,8,7,1,5]
[3,1,7,6,2,8,5,4]=>[4,5,8,2,6,7,1,3]
[5,3,6,7,4,2,8,1]=>[1,8,2,4,7,6,3,5]
[2,4,5,1,8,7,6,3]=>[3,6,7,8,1,5,4,2]
[8,2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2,8]
[6,8,7,3,1,5,2,4]=>[4,2,5,1,3,7,8,6]
[3,6,8,2,1,4,7,5]=>[5,7,4,1,2,8,6,3]
[3,5,4,8,6,7,2,1]=>[1,2,7,6,8,4,5,3]
[5,3,4,8,7,1,6,2]=>[2,6,1,7,8,4,3,5]
[5,4,2,8,6,7,3,1]=>[1,3,7,6,8,2,4,5]
[6,1,4,2,8,7,3,5]=>[5,3,7,8,2,4,1,6]
[3,2,4,6,8,5,7,1]=>[1,7,5,8,6,4,2,3]
[1,7,6,4,5,8,2,3]=>[3,2,8,5,4,6,7,1]
[7,2,1,3,8,5,6,4]=>[4,6,5,8,3,1,2,7]
[3,7,2,6,8,4,5,1]=>[1,5,4,8,6,2,7,3]
[6,2,4,5,7,8,3,1]=>[1,3,8,7,5,4,2,6]
[4,6,5,2,7,8,3,1]=>[1,3,8,7,2,5,6,4]
[5,4,6,2,7,8,3,1]=>[1,3,8,7,2,6,4,5]
[1,3,8,7,2,6,4,5]=>[5,4,6,2,7,8,3,1]
[5,1,8,6,4,2,7,3]=>[3,7,2,4,6,8,1,5]
[3,7,1,8,2,4,6,5]=>[5,6,4,2,8,1,7,3]
[2,5,8,1,4,6,3,7]=>[7,3,6,4,1,8,5,2]
[7,2,8,3,1,5,6,4]=>[4,6,5,1,3,8,2,7]
[6,2,1,8,5,7,4,3]=>[3,4,7,5,8,1,2,6]
[2,6,3,8,5,7,4,1]=>[1,4,7,5,8,3,6,2]
[5,4,7,2,3,8,6,1]=>[1,6,8,3,2,7,4,5]
[5,4,6,2,3,1,8,7]=>[7,8,1,3,2,6,4,5]
[6,5,7,8,1,3,4,2]=>[2,4,3,1,8,7,5,6]
[2,1,7,6,8,4,5,3]=>[3,5,4,8,6,7,1,2]
[6,5,7,8,1,3,2,4]=>[4,2,3,1,8,7,5,6]
[6,4,7,2,8,3,1,5]=>[5,1,3,8,2,7,4,6]
[6,3,2,7,8,4,5,1]=>[1,5,4,8,7,2,3,6]
[6,5,7,8,2,4,3,1]=>[1,3,4,2,8,7,5,6]
[6,4,7,1,8,5,3,2]=>[2,3,5,8,1,7,4,6]
[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]
[4,7,3,1,5,2,8,6]=>[6,8,2,5,1,3,7,4]
[4,6,3,1,7,5,8,2]=>[2,8,5,7,1,3,6,4]
[5,7,4,3,1,2,8,6]=>[6,8,2,1,3,4,7,5]
[2,1,4,7,5,3,8,6]=>[6,8,3,5,7,4,1,2]
[4,7,3,6,5,2,8,1]=>[1,8,2,5,6,3,7,4]
[4,7,6,3,1,5,8,2]=>[2,8,5,1,3,6,7,4]
[2,4,7,3,8,5,1,6]=>[6,1,5,8,3,7,4,2]
[2,7,3,1,8,5,4,6]=>[6,4,5,8,1,3,7,2]
[2,5,3,1,7,4,8,6]=>[6,8,4,7,1,3,5,2]
[2,4,3,1,7,5,8,6]=>[6,8,5,7,1,3,4,2]
[2,7,3,8,6,5,1,4]=>[4,1,5,6,8,3,7,2]
[2,8,3,1,7,4,5,6]=>[6,5,4,7,1,3,8,2]
[6,7,5,2,1,4,8,3]=>[3,8,4,1,2,5,7,6]
[7,8,6,2,1,5,3,4]=>[4,3,5,1,2,6,8,7]
[7,8,6,3,2,5,1,4]=>[4,1,5,2,3,6,8,7]
[7,1,6,3,8,4,2,5]=>[5,2,4,8,3,6,1,7]
[5,8,4,2,6,1,7,3]=>[3,7,1,6,2,4,8,5]
[6,7,4,8,5,3,1,2]=>[2,1,3,5,8,4,7,6]
[7,8,6,3,5,2,1,4]=>[4,1,2,5,3,6,8,7]
[1,6,2,5,7,8,3,4]=>[4,3,8,7,5,2,6,1]
[1,7,8,2,5,4,6,3]=>[3,6,4,5,2,8,7,1]
[1,2,6,8,3,4,7,5]=>[5,7,4,3,8,6,2,1]
[1,6,2,5,3,7,8,4]=>[4,8,7,3,5,2,6,1]
[1,8,2,6,7,3,5,4]=>[4,5,3,7,6,2,8,1]
[1,3,6,8,4,7,2,5]=>[5,2,7,4,8,6,3,1]
[1,5,6,8,3,2,4,7]=>[7,4,2,3,8,6,5,1]
[1,7,3,5,4,2,8,6]=>[6,8,2,4,5,3,7,1]
[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]
[1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]
[1,2,8,5,3,4,7,6]=>[6,7,4,3,5,8,2,1]
[1,7,4,8,6,5,3,2]=>[2,3,5,6,8,4,7,1]
[1,6,8,7,2,4,3,5]=>[5,3,4,2,7,8,6,1]
[1,6,3,7,2,5,8,4]=>[4,8,5,2,7,3,6,1]
[1,3,6,5,4,8,2,7]=>[7,2,8,4,5,6,3,1]
[1,6,3,5,7,4,8,2]=>[2,8,4,7,5,3,6,1]
[1,8,2,3,7,4,6,5]=>[5,6,4,7,3,2,8,1]
[1,7,2,3,8,4,6,5]=>[5,6,4,8,3,2,7,1]
[1,5,4,7,2,8,3,6]=>[6,3,8,2,7,4,5,1]
[8,4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4,8]
[4,6,7,1,5,2,8,3]=>[3,8,2,5,1,7,6,4]
[3,8,4,7,5,2,6,1]=>[1,6,2,5,7,4,8,3]
[3,7,5,2,6,1,8,4]=>[4,8,1,6,2,5,7,3]
[3,8,5,2,6,1,7,4]=>[4,7,1,6,2,5,8,3]
[3,7,4,8,5,2,6,1]=>[1,6,2,5,8,4,7,3]
[3,6,1,5,2,8,7,4]=>[4,7,8,2,5,1,6,3]
[8,1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1,8]
[3,7,4,2,5,6,1,8]=>[8,1,6,5,2,4,7,3]
[3,4,2,7,5,1,6,8]=>[8,6,1,5,7,2,4,3]
[6,7,1,3,4,2,5,8]=>[8,5,2,4,3,1,7,6]
[6,8,7,1,3,4,2,5]=>[5,2,4,3,1,7,8,6]
[3,4,2,8,6,7,5,1]=>[1,5,7,6,8,2,4,3]
[3,7,8,6,1,4,2,5]=>[5,2,4,1,6,8,7,3]
[3,6,1,5,2,7,8,4]=>[4,8,7,2,5,1,6,3]
[3,8,4,2,5,7,6,1]=>[1,6,7,5,2,4,8,3]
[7,1,6,8,3,4,2,5]=>[5,2,4,3,8,6,1,7]
[8,1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1,8]
[7,4,8,1,2,6,3,5]=>[5,3,6,2,1,8,4,7]
[6,2,8,4,7,1,3,5]=>[5,3,1,7,4,8,2,6]
[8,3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3,8]
[3,7,8,4,2,5,6,1]=>[1,6,5,2,4,8,7,3]
[3,8,4,2,5,6,1,7]=>[7,1,6,5,2,4,8,3]
[3,6,1,5,2,8,4,7]=>[7,4,8,2,5,1,6,3]
[7,1,3,4,8,5,2,6]=>[6,2,5,8,4,3,1,7]
[7,1,3,4,2,5,8,6]=>[6,8,5,2,4,3,1,7]
[3,4,2,8,5,1,6,7]=>[7,6,1,5,8,2,4,3]
[3,4,2,6,8,5,1,7]=>[7,1,5,8,6,2,4,3]
[8,7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7,8]
[7,1,3,4,2,5,6,8]=>[8,6,5,2,4,3,1,7]
[3,6,1,4,2,5,7,8]=>[8,7,5,2,4,1,6,3]
[6,8,2,7,5,4,1,3]=>[3,1,4,5,7,2,8,6]
[1,8,4,3,7,6,2,5]=>[5,2,6,7,3,4,8,1]
[4,3,8,7,1,2,6,5]=>[5,6,2,1,7,8,3,4]
[1,8,4,5,7,6,2,3]=>[3,2,6,7,5,4,8,1]
[4,3,8,5,7,1,6,2]=>[2,6,1,7,5,8,3,4]
[6,3,4,8,7,2,1,5]=>[5,1,2,7,8,4,3,6]
[5,2,8,7,1,4,6,3]=>[3,6,4,1,7,8,2,5]
[3,2,8,7,1,6,4,5]=>[5,4,6,1,7,8,2,3]
[2,7,8,3,1,6,4,5]=>[5,4,6,1,3,8,7,2]
[2,7,8,5,1,4,6,3]=>[3,6,4,1,5,8,7,2]
[3,5,8,7,4,1,6,2]=>[2,6,1,4,7,8,5,3]
[7,4,6,8,3,5,1,2]=>[2,1,5,3,8,6,4,7]
[2,7,8,1,3,6,4,5]=>[5,4,6,3,1,8,7,2]
[2,7,8,1,5,4,6,3]=>[3,6,4,5,1,8,7,2]
[2,7,8,1,4,5,6,3]=>[3,6,5,4,1,8,7,2]
[3,6,7,8,2,4,1,5]=>[5,1,4,2,8,7,6,3]
[4,5,7,8,6,3,1,2]=>[2,1,3,6,8,7,5,4]
[5,4,6,8,7,3,1,2]=>[2,1,3,7,8,6,4,5]
[4,5,8,6,7,1,3,2]=>[2,3,1,7,6,8,5,4]
[5,7,6,8,2,1,3,4]=>[4,3,1,2,8,6,7,5]
[3,7,6,8,2,4,1,5]=>[5,1,4,2,8,6,7,3]
[5,4,7,8,6,3,1,2]=>[2,1,3,6,8,7,4,5]
[4,5,7,8,2,6,1,3]=>[3,1,6,2,8,7,5,4]
[4,5,6,8,7,3,1,2]=>[2,1,3,7,8,6,5,4]
[8,1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1,8]
[6,1,3,4,8,5,7,2]=>[2,7,5,8,4,3,1,6]
[5,7,3,4,2,1,6,8]=>[8,6,1,2,4,3,7,5]
[8,1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1,8]
[7,1,6,4,5,3,8,2]=>[2,8,3,5,4,6,1,7]
[6,1,5,3,8,4,7,2]=>[2,7,4,8,3,5,1,6]
[4,1,8,6,7,2,5,3]=>[3,5,2,7,6,8,1,4]
[1,2,8,3,6,7,5,4]=>[4,5,7,6,3,8,2,1]
[6,8,5,4,1,2,3,7]=>[7,3,2,1,4,5,8,6]
[6,4,1,7,3,2,5,8]=>[8,5,2,3,7,1,4,6]
[8,3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3,8]
[4,6,7,1,2,5,3,8]=>[8,3,5,2,1,7,6,4]
[6,1,7,3,2,5,8,4]=>[4,8,5,2,3,7,1,6]
[4,1,7,2,8,6,3,5]=>[5,3,6,8,2,7,1,4]
[7,4,1,8,2,3,6,5]=>[5,6,3,2,8,1,4,7]
[1,4,6,7,8,2,5,3]=>[3,5,2,8,7,6,4,1]
[3,7,1,6,2,4,5,8]=>[8,5,4,2,6,1,7,3]
[7,1,3,4,8,6,2,5]=>[5,2,6,8,4,3,1,7]
[5,2,7,4,8,1,3,6]=>[6,3,1,8,4,7,2,5]
[1,8,6,2,5,4,7,3]=>[3,7,4,5,2,6,8,1]
[8,3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3,8]
[5,3,4,1,6,7,2,8]=>[8,2,7,6,1,4,3,5]
[5,2,1,6,4,3,8,7]=>[7,8,3,4,6,1,2,5]
[5,2,8,3,4,7,1,6]=>[6,1,7,4,3,8,2,5]
[3,8,4,1,7,5,2,6]=>[6,2,5,7,1,4,8,3]
[4,7,6,5,1,2,3,8]=>[8,3,2,1,5,6,7,4]
[6,2,7,4,8,3,1,5]=>[5,1,3,8,4,7,2,6]
[6,4,5,2,8,1,3,7]=>[7,3,1,8,2,5,4,6]
[2,8,5,1,4,3,7,6]=>[6,7,3,4,1,5,8,2]
[4,8,6,5,2,1,7,3]=>[3,7,1,2,5,6,8,4]
[5,6,4,8,7,2,3,1]=>[1,3,2,7,8,4,6,5]
[1,6,8,2,5,7,3,4]=>[4,3,7,5,2,8,6,1]
[1,5,4,2,7,6,8,3]=>[3,8,6,7,2,4,5,1]
[8,5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5,8]
[6,8,2,7,5,1,4,3]=>[3,4,1,5,7,2,8,6]
[8,3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3,8]
[7,4,2,5,6,8,1,3]=>[3,1,8,6,5,2,4,7]
[5,3,6,4,7,2,1,8]=>[8,1,2,7,4,6,3,5]
[4,2,6,5,7,3,1,8]=>[8,1,3,7,5,6,2,4]
[5,4,6,2,7,3,1,8]=>[8,1,3,7,2,6,4,5]
[3,2,6,5,8,4,1,7]=>[7,1,4,8,5,6,2,3]
[3,2,6,5,8,7,1,4]=>[4,1,7,8,5,6,2,3]
[4,2,6,5,8,7,1,3]=>[3,1,7,8,5,6,2,4]
[5,2,6,4,8,7,1,3]=>[3,1,7,8,4,6,2,5]
[5,4,7,6,8,2,1,3]=>[3,1,2,8,6,7,4,5]
[6,4,7,5,8,3,1,2]=>[2,1,3,8,5,7,4,6]
[4,2,7,5,8,6,1,3]=>[3,1,6,8,5,7,2,4]
[3,2,7,5,8,4,1,6]=>[6,1,4,8,5,7,2,3]
[4,3,7,2,8,5,1,6]=>[6,1,5,8,2,7,3,4]
[4,3,6,2,8,5,1,7]=>[7,1,5,8,2,6,3,4]
[4,3,7,6,8,5,1,2]=>[2,1,5,8,6,7,3,4]
[5,3,7,6,8,2,1,4]=>[4,1,2,8,6,7,3,5]
[5,3,7,2,8,6,1,4]=>[4,1,6,8,2,7,3,5]
[3,2,6,4,8,7,1,5]=>[5,1,7,8,4,6,2,3]
[4,2,7,3,8,6,1,5]=>[5,1,6,8,3,7,2,4]
[5,2,7,6,8,3,1,4]=>[4,1,3,8,6,7,2,5]
[3,2,7,6,8,4,1,5]=>[5,1,4,8,6,7,2,3]
[3,2,7,6,8,5,1,4]=>[4,1,5,8,6,7,2,3]
[6,2,7,5,8,4,1,3]=>[3,1,4,8,5,7,2,6]
[4,8,1,7,3,2,5,6]=>[6,5,2,3,7,1,8,4]
[3,7,4,8,2,1,5,6]=>[6,5,1,2,8,4,7,3]
[3,7,8,2,5,4,6,1]=>[1,6,4,5,2,8,7,3]
[4,7,5,8,3,2,6,1]=>[1,6,2,3,8,5,7,4]
[6,7,1,3,2,5,8,4]=>[4,8,5,2,3,1,7,6]
[8,7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7,8]
[3,8,5,2,6,4,7,1]=>[1,7,4,6,2,5,8,3]
[7,2,5,3,4,8,1,6]=>[6,1,8,4,3,5,2,7]
[7,4,8,3,5,1,6,2]=>[2,6,1,5,3,8,4,7]
[5,4,6,8,7,1,2,3]=>[3,2,1,7,8,6,4,5]
[6,4,7,8,5,1,2,3]=>[3,2,1,5,8,7,4,6]
[4,2,5,3,7,8,6,1]=>[1,6,8,7,3,5,2,4]
[5,3,6,2,4,1,8,7]=>[7,8,1,4,2,6,3,5]
[7,8,6,2,3,5,4,1]=>[1,4,5,3,2,6,8,7]
[5,8,2,6,3,7,4,1]=>[1,4,7,3,6,2,8,5]
[4,8,2,3,7,5,6,1]=>[1,6,5,7,3,2,8,4]
[7,5,6,2,3,8,4,1]=>[1,4,8,3,2,6,5,7]
[2,7,5,6,4,3,8,1]=>[1,8,3,4,6,5,7,2]
[2,8,4,3,7,5,6,1]=>[1,6,5,7,3,4,8,2]
[3,8,5,7,6,4,2,1]=>[1,2,4,6,7,5,8,3]
[7,8,6,3,5,4,2,1]=>[1,2,4,5,3,6,8,7]
[2,7,6,3,8,5,4,1]=>[1,4,5,8,3,6,7,2]
[7,4,2,5,6,3,8,1]=>[1,8,3,6,5,2,4,7]
[6,2,7,5,3,8,4,1]=>[1,4,8,3,5,7,2,6]
[2,4,8,3,7,5,6,1]=>[1,6,5,7,3,8,4,2]
[4,8,3,7,5,6,2,1]=>[1,2,6,5,7,3,8,4]
[6,2,5,8,3,7,4,1]=>[1,4,7,3,8,5,2,6]
[4,7,3,8,2,5,6,1]=>[1,6,5,2,8,3,7,4]
[8,2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2,8]
[4,5,3,7,1,2,6,8]=>[8,6,2,1,7,3,5,4]
[6,4,7,3,1,2,5,8]=>[8,5,2,1,3,7,4,6]
[6,8,4,1,3,5,2,7]=>[7,2,5,3,1,4,8,6]
[8,5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5,8]
[5,2,6,7,4,1,3,8]=>[8,3,1,4,7,6,2,5]
[5,6,2,7,4,1,3,8]=>[8,3,1,4,7,2,6,5]
[8,5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5,8]
[7,8,5,1,4,3,2,6]=>[6,2,3,4,1,5,8,7]
[6,7,2,8,4,3,1,5]=>[5,1,3,4,8,2,7,6]
[6,7,3,2,8,4,1,5]=>[5,1,4,8,2,3,7,6]
[8,5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5,8]
[4,7,8,3,1,5,2,6]=>[6,2,5,1,3,8,7,4]
[4,5,8,1,3,2,6,7]=>[7,6,2,3,1,8,5,4]
[4,7,8,1,6,3,2,5]=>[5,2,3,6,1,8,7,4]
[5,7,8,1,2,6,4,3]=>[3,4,6,2,1,8,7,5]
[6,5,4,7,2,8,1,3]=>[3,1,8,2,7,4,5,6]
[6,2,7,3,5,8,1,4]=>[4,1,8,5,3,7,2,6]
[6,2,7,5,4,8,1,3]=>[3,1,8,4,5,7,2,6]
[4,7,1,3,8,6,5,2]=>[2,5,6,8,3,1,7,4]
[2,6,7,4,3,8,1,5]=>[5,1,8,3,4,7,6,2]
[3,7,6,4,5,8,1,2]=>[2,1,8,5,4,6,7,3]
[3,7,6,5,4,8,1,2]=>[2,1,8,4,5,6,7,3]
[5,7,2,8,3,4,6,1]=>[1,6,4,3,8,2,7,5]
[3,7,2,8,5,6,4,1]=>[1,4,6,5,8,2,7,3]
[3,1,5,8,4,7,6,2]=>[2,6,7,4,8,5,1,3]
[1,5,6,8,4,3,7,2]=>[2,7,3,4,8,6,5,1]
[3,1,5,8,6,4,7,2]=>[2,7,4,6,8,5,1,3]
[4,7,2,8,5,3,6,1]=>[1,6,3,5,8,2,7,4]
[2,3,8,6,4,5,7,1]=>[1,7,5,4,6,8,3,2]
[2,3,8,6,4,7,5,1]=>[1,5,7,4,6,8,3,2]
[4,6,1,7,8,3,2,5]=>[5,2,3,8,7,1,6,4]
[3,6,2,8,7,4,5,1]=>[1,5,4,7,8,2,6,3]
[2,5,6,1,8,7,3,4]=>[4,3,7,8,1,6,5,2]
[3,6,2,8,4,7,5,1]=>[1,5,7,4,8,2,6,3]
[2,3,8,6,7,4,5,1]=>[1,5,4,7,6,8,3,2]
[2,3,8,7,4,6,5,1]=>[1,5,6,4,7,8,3,2]
[2,3,8,5,7,4,6,1]=>[1,6,4,7,5,8,3,2]
[3,5,2,8,7,4,6,1]=>[1,6,4,7,8,2,5,3]
[1,5,6,8,7,3,4,2]=>[2,4,3,7,8,6,5,1]
[2,3,8,6,7,5,4,1]=>[1,4,5,7,6,8,3,2]
[2,3,8,7,6,4,5,1]=>[1,5,4,6,7,8,3,2]
[8,5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5,8]
[8,5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5,8]
[8,1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1,8]
[8,1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1,8]
[8,3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3,8]
[8,3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3,8]
[1,3,8,5,6,2,4,7]=>[7,4,2,6,5,8,3,1]
[3,8,5,6,1,4,2,7]=>[7,2,4,1,6,5,8,3]
[3,8,5,6,4,1,2,7]=>[7,2,1,4,6,5,8,3]
[5,7,8,3,4,6,2,1]=>[1,2,6,4,3,8,7,5]
[3,5,8,6,4,1,2,7]=>[7,2,1,4,6,8,5,3]
[3,5,1,8,6,4,2,7]=>[7,2,4,6,8,1,5,3]
[1,3,5,8,6,2,4,7]=>[7,4,2,6,8,5,3,1]
[7,5,3,8,6,4,2,1]=>[1,2,4,6,8,3,5,7]
[1,5,3,8,6,4,2,7]=>[7,2,4,6,8,3,5,1]
[5,1,3,8,6,4,2,7]=>[7,2,4,6,8,3,1,5]
[5,3,8,1,6,4,2,7]=>[7,2,4,6,1,8,3,5]
[5,3,8,6,4,1,2,7]=>[7,2,1,4,6,8,3,5]
[5,8,3,1,6,4,2,7]=>[7,2,4,6,1,3,8,5]
[5,8,1,3,6,4,2,7]=>[7,2,4,6,3,1,8,5]
[5,1,8,3,6,4,2,7]=>[7,2,4,6,3,8,1,5]
[1,5,8,3,6,4,2,7]=>[7,2,4,6,3,8,5,1]
[7,5,8,3,6,4,2,1]=>[1,2,4,6,3,8,5,7]
[1,5,8,6,3,4,2,7]=>[7,2,4,3,6,8,5,1]
[1,7,8,2,5,6,4,3]=>[3,4,6,5,2,8,7,1]
[7,1,8,3,6,4,2,5]=>[5,2,4,6,3,8,1,7]
[7,8,3,6,4,1,2,5]=>[5,2,1,4,6,3,8,7]
[7,1,3,8,6,4,2,5]=>[5,2,4,6,8,3,1,7]
[3,7,5,8,2,6,4,1]=>[1,4,6,2,8,5,7,3]
[3,1,7,8,4,2,6,5]=>[5,6,2,4,8,7,1,3]
[5,7,8,1,4,6,2,3]=>[3,2,6,4,1,8,7,5]
[5,7,8,4,6,1,2,3]=>[3,2,1,6,4,8,7,5]
[1,3,7,8,4,2,6,5]=>[5,6,2,4,8,7,3,1]
[6,1,2,5,3,4,7,8]=>[8,7,4,3,5,2,1,6]
[5,1,2,4,6,3,7,8]=>[8,7,3,6,4,2,1,5]
[7,1,6,5,2,3,4,8]=>[8,4,3,2,5,6,1,7]
[6,1,2,5,4,3,7,8]=>[8,7,3,4,5,2,1,6]
[5,1,4,6,7,3,2,8]=>[8,2,3,7,6,4,1,5]
[1,4,6,5,7,2,3,8]=>[8,3,2,7,5,6,4,1]
[6,7,3,5,4,1,2,8]=>[8,2,1,4,5,3,7,6]
[8,1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1,8]
[7,2,4,1,6,5,3,8]=>[8,3,5,6,1,4,2,7]
[4,2,5,1,3,7,6,8]=>[8,6,7,3,1,5,2,4]
[1,3,2,6,8,4,7,5]=>[5,7,4,8,6,2,3,1]
[4,2,6,5,7,1,3,8]=>[8,3,1,7,5,6,2,4]
[6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]
[8,2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2,8]
[8,2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2,8]
[2,8,5,1,3,6,7,4]=>[4,7,6,3,1,5,8,2]
[8,7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7,8]
[8,7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7,8]
[3,8,5,6,1,2,7,4]=>[4,7,2,1,6,5,8,3]
[8,1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1,8]
[1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]
[6,3,1,7,2,4,5,8]=>[8,5,4,2,7,1,3,6]
[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]
[2,4,5,7,1,6,3,8]=>[8,3,6,1,7,5,4,2]
[5,7,8,3,2,6,1,4]=>[4,1,6,2,3,8,7,5]
[5,6,8,3,2,4,7,1]=>[1,7,4,2,3,8,6,5]
[4,8,5,2,3,7,6,1]=>[1,6,7,3,2,5,8,4]
[6,8,4,3,7,2,5,1]=>[1,5,2,7,3,4,8,6]
[6,7,4,3,8,2,1,5]=>[5,1,2,8,3,4,7,6]
[7,4,5,1,3,8,2,6]=>[6,2,8,3,1,5,4,7]
[8,4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4,8]
[8,6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6,8]
[8,6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6,8]
[8,5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5,8]
[8,3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3,8]
[7,5,6,8,1,3,2,4]=>[4,2,3,1,8,6,5,7]
[6,8,5,7,3,2,4,1]=>[1,4,2,3,7,5,8,6]
[4,7,8,2,6,5,1,3]=>[3,1,5,6,2,8,7,4]
[6,8,7,5,4,2,3,1]=>[1,3,2,4,5,7,8,6]
[7,3,1,8,6,5,2,4]=>[4,2,5,6,8,1,3,7]
[7,1,3,2,4,6,5,8]=>[8,5,6,4,2,3,1,7]
[7,2,3,5,1,6,8,4]=>[4,8,6,1,5,3,2,7]
[7,2,3,1,4,6,8,5]=>[5,8,6,4,1,3,2,7]
[6,5,2,1,4,8,3,7]=>[7,3,8,4,1,2,5,6]
[2,7,3,1,4,8,6,5]=>[5,6,8,4,1,3,7,2]
[1,4,6,3,7,8,5,2]=>[2,5,8,7,3,6,4,1]
[3,1,6,5,7,8,4,2]=>[2,4,8,7,5,6,1,3]
[1,2,6,5,8,4,7,3]=>[3,7,4,8,5,6,2,1]
[4,3,1,5,8,7,6,2]=>[2,6,7,8,5,1,3,4]
[4,7,6,8,1,3,5,2]=>[2,5,3,1,8,6,7,4]
[3,7,2,5,1,6,8,4]=>[4,8,6,1,5,2,7,3]
[4,7,1,3,2,5,6,8]=>[8,6,5,2,3,1,7,4]
[4,1,6,7,3,2,8,5]=>[5,8,2,3,7,6,1,4]
[1,7,2,5,6,8,4,3]=>[3,4,8,6,5,2,7,1]
[3,2,1,5,8,4,7,6]=>[6,7,4,8,5,1,2,3]
[4,7,6,8,3,1,5,2]=>[2,5,1,3,8,6,7,4]
[2,1,6,5,8,4,3,7]=>[7,3,4,8,5,6,1,2]
[7,4,6,3,5,1,8,2]=>[2,8,1,5,3,6,4,7]
[2,5,4,7,3,1,6,8]=>[8,6,1,3,7,4,5,2]
[5,4,8,6,1,7,3,2]=>[2,3,7,1,6,8,4,5]
[7,4,1,8,5,6,3,2]=>[2,3,6,5,8,1,4,7]
[3,6,4,5,7,1,8,2]=>[2,8,1,7,5,4,6,3]
[3,5,4,7,1,8,6,2]=>[2,6,8,1,7,4,5,3]
[3,8,2,4,5,7,1,6]=>[6,1,7,5,4,2,8,3]
[6,3,2,4,1,8,5,7]=>[7,5,8,1,4,2,3,6]
[7,1,5,4,2,3,6,8]=>[8,6,3,2,4,5,1,7]
[7,1,3,6,4,5,2,8]=>[8,2,5,4,6,3,1,7]
[6,4,5,1,3,8,2,7]=>[7,2,8,3,1,5,4,6]
[6,1,3,8,4,5,2,7]=>[7,2,5,4,8,3,1,6]
[7,4,5,1,3,6,2,8]=>[8,2,6,3,1,5,4,7]
[7,3,6,4,5,1,2,8]=>[8,2,1,5,4,6,3,7]
[2,1,8,7,3,6,5,4]=>[4,5,6,3,7,8,1,2]
[5,8,6,3,1,2,7,4]=>[4,7,2,1,3,6,8,5]
[5,8,2,7,1,3,6,4]=>[4,6,3,1,7,2,8,5]
[2,6,5,4,1,3,7,8]=>[8,7,3,1,4,5,6,2]
[4,1,5,7,6,3,2,8]=>[8,2,3,6,7,5,1,4]
[6,3,4,2,1,8,7,5]=>[5,7,8,1,2,4,3,6]
[4,5,1,7,6,3,2,8]=>[8,2,3,6,7,1,5,4]
[2,5,4,1,7,8,3,6]=>[6,3,8,7,1,4,5,2]
[3,5,4,7,8,2,1,6]=>[6,1,2,8,7,4,5,3]
[7,3,6,1,4,5,2,8]=>[8,2,5,4,1,6,3,7]
[7,1,4,5,2,8,3,6]=>[6,3,8,2,5,4,1,7]
[5,4,2,1,8,7,3,6]=>[6,3,7,8,1,2,4,5]
[4,8,6,3,1,5,2,7]=>[7,2,5,1,3,6,8,4]
[6,2,1,5,4,3,8,7]=>[7,8,3,4,5,1,2,6]
[5,1,4,8,3,6,2,7]=>[7,2,6,3,8,4,1,5]
[6,1,4,5,3,8,2,7]=>[7,2,8,3,5,4,1,6]
[1,7,2,6,8,4,5,3]=>[3,5,4,8,6,2,7,1]
[1,4,2,6,7,8,5,3]=>[3,5,8,7,6,2,4,1]
[1,4,2,5,6,8,7,3]=>[3,7,8,6,5,2,4,1]
[1,4,6,5,7,2,8,3]=>[3,8,2,7,5,6,4,1]
[2,5,3,6,7,8,4,1]=>[1,4,8,7,6,3,5,2]
[6,4,2,7,8,3,5,1]=>[1,5,3,8,7,2,4,6]
[5,3,1,6,8,7,2,4]=>[4,2,7,8,6,1,3,5]
[6,2,1,7,4,3,5,8]=>[8,5,3,4,7,1,2,6]
[1,8,6,2,4,3,5,7]=>[7,5,3,4,2,6,8,1]
[8,3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3,8]
[7,4,2,5,3,8,6,1]=>[1,6,8,3,5,2,4,7]
[6,5,8,3,1,7,2,4]=>[4,2,7,1,3,8,5,6]
[3,2,4,5,7,8,1,6]=>[6,1,8,7,5,4,2,3]
[2,3,4,7,5,8,6,1]=>[1,6,8,5,7,4,3,2]
[3,6,2,4,8,5,1,7]=>[7,1,5,8,4,2,6,3]
[1,8,2,4,7,3,5,6]=>[6,5,3,7,4,2,8,1]
[8,1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1,8]
[6,5,2,8,7,4,3,1]=>[1,3,4,7,8,2,5,6]
[7,8,5,4,2,1,6,3]=>[3,6,1,2,4,5,8,7]
[7,5,2,8,6,4,3,1]=>[1,3,4,6,8,2,5,7]
[7,8,3,2,6,5,4,1]=>[1,4,5,6,2,3,8,7]
[6,5,2,8,1,4,7,3]=>[3,7,4,1,8,2,5,6]
[8,5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5,8]
[5,1,8,6,4,3,7,2]=>[2,7,3,4,6,8,1,5]
[5,8,6,1,3,2,7,4]=>[4,7,2,3,1,6,8,5]
[1,7,6,3,8,2,5,4]=>[4,5,2,8,3,6,7,1]
[8,2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2,8]
[8,2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2,8]
[7,2,6,8,3,1,4,5]=>[5,4,1,3,8,6,2,7]
[6,1,3,7,8,4,5,2]=>[2,5,4,8,7,3,1,6]
[6,8,7,4,1,3,2,5]=>[5,2,3,1,4,7,8,6]
[8,6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6,8]
[1,6,2,7,8,4,5,3]=>[3,5,4,8,7,2,6,1]
[8,6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6,8]
[1,6,8,2,7,5,3,4]=>[4,3,5,7,2,8,6,1]
[7,6,3,2,8,1,5,4]=>[4,5,1,8,2,3,6,7]
[5,7,3,1,2,8,6,4]=>[4,6,8,2,1,3,7,5]
[5,1,7,4,3,8,6,2]=>[2,6,8,3,4,7,1,5]
[6,7,1,4,8,2,5,3]=>[3,5,2,8,4,1,7,6]
[8,6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6,8]
[1,7,8,6,4,2,3,5]=>[5,3,2,4,6,8,7,1]
[7,2,8,6,4,1,3,5]=>[5,3,1,4,6,8,2,7]
[7,4,2,6,5,3,1,8]=>[8,1,3,5,6,2,4,7]
[1,5,3,7,4,2,6,8]=>[8,6,2,4,7,3,5,1]
[1,7,6,4,3,2,8,5]=>[5,8,2,3,4,6,7,1]
[1,7,6,4,3,2,5,8]=>[8,5,2,3,4,6,7,1]
[7,4,3,6,2,5,1,8]=>[8,1,5,2,6,3,4,7]
[1,7,6,3,4,2,5,8]=>[8,5,2,4,3,6,7,1]
[1,2,7,4,3,8,6,5]=>[5,6,8,3,4,7,2,1]
[1,7,6,3,5,2,4,8]=>[8,4,2,5,3,6,7,1]
[1,5,4,7,3,2,8,6]=>[6,8,2,3,7,4,5,1]
[1,7,6,3,5,2,8,4]=>[4,8,2,5,3,6,7,1]
[1,2,7,4,3,6,5,8]=>[8,5,6,3,4,7,2,1]
[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]
[1,7,6,4,5,2,3,8]=>[8,3,2,5,4,6,7,1]
[1,5,3,2,4,6,7,8]=>[8,7,6,4,2,3,5,1]
[1,5,3,7,6,2,4,8]=>[8,4,2,6,7,3,5,1]
[1,2,7,5,3,6,8,4]=>[4,8,6,3,5,7,2,1]
[1,2,7,6,3,5,4,8]=>[8,4,5,3,6,7,2,1]
[1,5,4,2,3,7,8,6]=>[6,8,7,3,2,4,5,1]
[1,2,7,6,3,5,8,4]=>[4,8,5,3,6,7,2,1]
[8,1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1,8]
[4,3,7,2,8,1,6,5]=>[5,6,1,8,2,7,3,4]
[3,2,7,5,6,1,8,4]=>[4,8,1,6,5,7,2,3]
[7,5,6,1,3,2,8,4]=>[4,8,2,3,1,6,5,7]
[7,3,4,1,8,2,6,5]=>[5,6,2,8,1,4,3,7]
[7,4,5,1,6,3,8,2]=>[2,8,3,6,1,5,4,7]
[7,5,6,1,4,3,8,2]=>[2,8,3,4,1,6,5,7]
[4,2,7,6,8,3,5,1]=>[1,5,3,8,6,7,2,4]
[3,2,6,4,8,5,7,1]=>[1,7,5,8,4,6,2,3]
[4,2,8,3,6,5,7,1]=>[1,7,5,6,3,8,2,4]
[8,1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1,8]
[6,2,8,5,7,1,4,3]=>[3,4,1,7,5,8,2,6]
[6,4,8,5,7,1,3,2]=>[2,3,1,7,5,8,4,6]
[5,3,4,1,6,2,8,7]=>[7,8,2,6,1,4,3,5]
[6,5,7,3,4,1,8,2]=>[2,8,1,4,3,7,5,6]
[5,2,7,6,8,1,4,3]=>[3,4,1,8,6,7,2,5]
[7,5,6,1,8,2,4,3]=>[3,4,2,8,1,6,5,7]
[7,3,6,1,8,2,5,4]=>[4,5,2,8,1,6,3,7]
[7,2,8,1,6,3,5,4]=>[4,5,3,6,1,8,2,7]
[5,8,4,1,2,6,3,7]=>[7,3,6,2,1,4,8,5]
[6,4,7,1,2,8,3,5]=>[5,3,8,2,1,7,4,6]
[3,8,1,7,4,2,5,6]=>[6,5,2,4,7,1,8,3]
[3,7,4,8,2,5,6,1]=>[1,6,5,2,8,4,7,3]
[8,3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3,8]
[8,4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4,8]
[8,3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3,8]
[8,2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2,8]
[8,2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2,8]
[2,7,8,5,4,3,6,1]=>[1,6,3,4,5,8,7,2]
[3,8,2,6,4,7,5,1]=>[1,5,7,4,6,2,8,3]
[1,2,5,7,4,8,3,6]=>[6,3,8,4,7,5,2,1]
[4,3,7,5,8,1,2,6]=>[6,2,1,8,5,7,3,4]
[4,7,1,5,3,6,8,2]=>[2,8,6,3,5,1,7,4]
[1,7,5,8,4,6,3,2]=>[2,3,6,4,8,5,7,1]
[7,3,6,8,4,1,5,2]=>[2,5,1,4,8,6,3,7]
[8,3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3,8]
[6,8,5,3,1,4,7,2]=>[2,7,4,1,3,5,8,6]
[1,8,3,4,7,5,6,2]=>[2,6,5,7,4,3,8,1]
[6,1,4,7,3,5,8,2]=>[2,8,5,3,7,4,1,6]
[5,8,6,2,7,3,4,1]=>[1,4,3,7,2,6,8,5]
[6,5,8,3,2,7,4,1]=>[1,4,7,2,3,8,5,6]
[6,5,7,1,2,8,3,4]=>[4,3,8,2,1,7,5,6]
[7,1,4,2,3,8,6,5]=>[5,6,8,3,2,4,1,7]
[2,3,5,4,8,1,7,6]=>[6,7,1,8,4,5,3,2]
[6,2,4,7,8,3,5,1]=>[1,5,3,8,7,4,2,6]
[1,7,2,6,5,3,8,4]=>[4,8,3,5,6,2,7,1]
[4,2,6,7,1,8,5,3]=>[3,5,8,1,7,6,2,4]
[2,7,1,6,3,8,5,4]=>[4,5,8,3,6,1,7,2]
[3,7,5,6,8,1,2,4]=>[4,2,1,8,6,5,7,3]
[8,1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1,8]
[1,6,2,4,5,7,8,3]=>[3,8,7,5,4,2,6,1]
[8,6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6,8]
[7,8,5,1,2,4,6,3]=>[3,6,4,2,1,5,8,7]
[7,1,6,4,2,5,8,3]=>[3,8,5,2,4,6,1,7]
[1,7,6,5,3,4,8,2]=>[2,8,4,3,5,6,7,1]
[8,1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1,8]
[8,6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6,8]
[7,4,8,5,3,6,2,1]=>[1,2,6,3,5,8,4,7]
[6,2,5,7,4,3,1,8]=>[8,1,3,4,7,5,2,6]
[6,2,5,8,1,7,4,3]=>[3,4,7,1,8,5,2,6]
[6,7,5,2,4,3,1,8]=>[8,1,3,4,2,5,7,6]
[4,3,8,6,7,5,2,1]=>[1,2,5,7,6,8,3,4]
[3,6,5,2,4,1,7,8]=>[8,7,1,4,2,5,6,3]
[8,6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6,8]
[6,8,5,2,4,3,1,7]=>[7,1,3,4,2,5,8,6]
[6,2,5,8,4,3,1,7]=>[7,1,3,4,8,5,2,6]
[4,7,2,5,6,1,8,3]=>[3,8,1,6,5,2,7,4]
[3,8,1,6,5,2,4,7]=>[7,4,2,5,6,1,8,3]
[3,4,2,8,6,7,1,5]=>[5,1,7,6,8,2,4,3]
[3,7,1,6,2,5,8,4]=>[4,8,5,2,6,1,7,3]
[3,8,4,1,6,2,5,7]=>[7,5,2,6,1,4,8,3]
[3,8,5,2,4,1,6,7]=>[7,6,1,4,2,5,8,3]
[3,4,2,7,6,8,1,5]=>[5,1,8,6,7,2,4,3]
[7,5,2,4,3,1,8,6]=>[6,8,1,3,4,2,5,7]
[3,8,7,5,2,4,1,6]=>[6,1,4,2,5,7,8,3]
[3,8,1,6,2,5,7,4]=>[4,7,5,2,6,1,8,3]
[3,7,4,1,6,2,5,8]=>[8,5,2,6,1,4,7,3]
[3,6,2,5,1,8,7,4]=>[4,7,8,1,5,2,6,3]
[3,6,2,5,1,7,4,8]=>[8,4,7,1,5,2,6,3]
[7,6,1,8,5,2,4,3]=>[3,4,2,5,8,1,6,7]
[4,6,7,2,5,1,8,3]=>[3,8,1,5,2,7,6,4]
[3,6,2,5,1,7,8,4]=>[4,8,7,1,5,2,6,3]
[3,4,2,7,6,1,5,8]=>[8,5,1,6,7,2,4,3]
[3,4,2,8,1,5,7,6]=>[6,7,5,1,8,2,4,3]
[3,4,2,7,8,1,5,6]=>[6,5,1,8,7,2,4,3]
[3,4,2,6,1,5,7,8]=>[8,7,5,1,6,2,4,3]
[3,6,2,5,1,8,4,7]=>[7,4,8,1,5,2,6,3]
[8,3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3,8]
[3,8,5,2,4,7,1,6]=>[6,1,7,4,2,5,8,3]
[3,4,2,7,1,5,8,6]=>[6,8,5,1,7,2,4,3]
[3,4,2,8,7,1,5,6]=>[6,5,1,7,8,2,4,3]
[7,3,4,6,5,8,1,2]=>[2,1,8,5,6,4,3,7]
[7,3,6,8,1,4,5,2]=>[2,5,4,1,8,6,3,7]
[6,3,4,1,7,5,2,8]=>[8,2,5,7,1,4,3,6]
[3,4,6,7,2,1,8,5]=>[5,8,1,2,7,6,4,3]
[5,7,1,8,6,4,3,2]=>[2,3,4,6,8,1,7,5]
[5,1,8,6,7,2,4,3]=>[3,4,2,7,6,8,1,5]
[6,1,8,5,2,4,7,3]=>[3,7,4,2,5,8,1,6]
[7,1,4,2,5,8,6,3]=>[3,6,8,5,2,4,1,7]
[7,8,5,1,2,4,3,6]=>[6,3,4,2,1,5,8,7]
[2,5,3,1,4,8,6,7]=>[7,6,8,4,1,3,5,2]
[3,6,1,2,5,4,8,7]=>[7,8,4,5,2,1,6,3]
[5,8,1,4,3,6,7,2]=>[2,7,6,3,4,1,8,5]
[7,2,3,8,6,4,1,5]=>[5,1,4,6,8,3,2,7]
[5,2,3,8,7,4,1,6]=>[6,1,4,7,8,3,2,5]
[6,5,8,2,1,4,3,7]=>[7,3,4,1,2,8,5,6]
[5,7,6,3,1,2,4,8]=>[8,4,2,1,3,6,7,5]
[1,4,3,7,2,6,8,5]=>[5,8,6,2,7,3,4,1]
[5,8,6,3,2,4,1,7]=>[7,1,4,2,3,6,8,5]
[4,6,2,7,8,1,3,5]=>[5,3,1,8,7,2,6,4]
[6,2,3,7,1,4,5,8]=>[8,5,4,1,7,3,2,6]
[4,6,7,8,2,1,3,5]=>[5,3,1,2,8,7,6,4]
[8,6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6,8]
[5,3,4,1,7,8,2,6]=>[6,2,8,7,1,4,3,5]
[4,8,6,1,2,3,5,7]=>[7,5,3,2,1,6,8,4]
[6,7,3,5,8,4,1,2]=>[2,1,4,8,5,3,7,6]
[7,5,8,2,3,1,6,4]=>[4,6,1,3,2,8,5,7]
[6,5,1,4,8,2,3,7]=>[7,3,2,8,4,1,5,6]
[6,8,1,4,3,2,5,7]=>[7,5,2,3,4,1,8,6]
[6,1,3,4,2,5,8,7]=>[7,8,5,2,4,3,1,6]
[5,1,3,6,2,4,8,7]=>[7,8,4,2,6,3,1,5]
[2,6,1,3,5,7,8,4]=>[4,8,7,5,3,1,6,2]
[7,8,4,2,3,1,6,5]=>[5,6,1,3,2,4,8,7]
[8,6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6,8]
[1,5,7,6,8,2,4,3]=>[3,4,2,8,6,7,5,1]
[3,7,1,8,5,2,6,4]=>[4,6,2,5,8,1,7,3]
[5,7,1,3,8,4,2,6]=>[6,2,4,8,3,1,7,5]
[2,6,1,4,3,7,8,5]=>[5,8,7,3,4,1,6,2]
[1,6,2,4,3,5,8,7]=>[7,8,5,3,4,2,6,1]
[3,8,5,7,6,4,1,2]=>[2,1,4,6,7,5,8,3]
[1,8,5,7,6,3,4,2]=>[2,4,3,6,7,5,8,1]
[5,8,1,7,6,3,4,2]=>[2,4,3,6,7,1,8,5]
[1,7,6,3,8,5,4,2]=>[2,4,5,8,3,6,7,1]
[5,3,7,6,1,8,4,2]=>[2,4,8,1,6,7,3,5]
[5,1,7,6,3,8,4,2]=>[2,4,8,3,6,7,1,5]
[1,5,6,3,7,8,4,2]=>[2,4,8,7,3,6,5,1]
[1,5,7,6,3,8,4,2]=>[2,4,8,3,6,7,5,1]
[7,3,5,6,1,8,4,2]=>[2,4,8,1,6,5,3,7]
[7,3,6,1,5,8,4,2]=>[2,4,8,5,1,6,3,7]
[1,6,3,7,8,5,4,2]=>[2,4,5,8,7,3,6,1]
[1,7,8,6,3,5,4,2]=>[2,4,5,3,6,8,7,1]
[3,6,1,7,5,8,4,2]=>[2,4,8,5,7,1,6,3]
[3,7,5,6,1,8,4,2]=>[2,4,8,1,6,5,7,3]
[7,4,5,1,8,3,2,6]=>[6,2,3,8,1,5,4,7]
[7,2,1,8,5,4,3,6]=>[6,3,4,5,8,1,2,7]
[2,7,3,4,6,8,1,5]=>[5,1,8,6,4,3,7,2]
[5,6,2,8,4,7,3,1]=>[1,3,7,4,8,2,6,5]
[5,6,8,2,3,7,4,1]=>[1,4,7,3,2,8,6,5]
[3,1,7,6,8,5,2,4]=>[4,2,5,8,6,7,1,3]
[2,7,1,8,6,4,3,5]=>[5,3,4,6,8,1,7,2]
[8,4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4,8]
[5,6,8,1,7,3,4,2]=>[2,4,3,7,1,8,6,5]
[8,3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3,8]
[8,1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1,8]
[1,4,5,7,8,6,2,3]=>[3,2,6,8,7,5,4,1]
[2,4,5,8,6,7,3,1]=>[1,3,7,6,8,5,4,2]
[5,7,6,3,4,8,1,2]=>[2,1,8,4,3,6,7,5]
[3,7,5,4,6,1,2,8]=>[8,2,1,6,4,5,7,3]
[5,3,4,7,6,8,1,2]=>[2,1,8,6,7,4,3,5]
[5,3,7,4,6,1,2,8]=>[8,2,1,6,4,7,3,5]
[7,3,5,4,6,1,2,8]=>[8,2,1,6,4,5,3,7]
[7,8,3,5,4,1,2,6]=>[6,2,1,4,5,3,8,7]
[7,3,5,4,1,2,6,8]=>[8,6,2,1,4,5,3,7]
[5,7,6,3,4,1,2,8]=>[8,2,1,4,3,6,7,5]
[3,5,4,1,2,7,6,8]=>[8,6,7,2,1,4,5,3]
[5,7,6,1,3,2,4,8]=>[8,4,2,3,1,6,7,5]
[5,3,4,1,2,7,6,8]=>[8,6,7,2,1,4,3,5]
[7,8,3,1,2,5,4,6]=>[6,4,5,2,1,3,8,7]
[7,8,5,1,3,2,4,6]=>[6,4,2,3,1,5,8,7]
[7,5,6,1,3,2,4,8]=>[8,4,2,3,1,6,5,7]
[7,8,5,1,3,6,2,4]=>[4,2,6,3,1,5,8,7]
[7,8,3,1,5,4,2,6]=>[6,2,4,5,1,3,8,7]
[3,5,4,1,7,6,2,8]=>[8,2,6,7,1,4,5,3]
[3,5,1,4,7,6,2,8]=>[8,2,6,7,4,1,5,3]
[7,3,8,5,1,4,6,2]=>[2,6,4,1,5,8,3,7]
[7,5,1,3,8,6,2,4]=>[4,2,6,8,3,1,5,7]
[7,1,3,8,2,5,4,6]=>[6,4,5,2,8,3,1,7]
[7,5,8,6,1,3,2,4]=>[4,2,3,1,6,8,5,7]
[5,7,6,8,3,1,4,2]=>[2,4,1,3,8,6,7,5]
[3,1,5,4,2,7,6,8]=>[8,6,7,2,4,5,1,3]
[3,1,5,4,7,2,6,8]=>[8,6,2,7,4,5,1,3]
[5,7,6,1,3,8,2,4]=>[4,2,8,3,1,6,7,5]
[5,7,6,3,8,1,4,2]=>[2,4,1,8,3,6,7,5]
[3,1,5,7,4,2,6,8]=>[8,6,2,4,7,5,1,3]
[3,7,5,4,8,6,1,2]=>[2,1,6,8,4,5,7,3]
[5,1,3,7,6,2,4,8]=>[8,4,2,6,7,3,1,5]
[7,1,6,8,2,3,5,4]=>[4,5,3,2,8,6,1,7]
[1,6,3,7,2,4,5,8]=>[8,5,4,2,7,3,6,1]
[3,8,1,4,7,6,2,5]=>[5,2,6,7,4,1,8,3]
[1,7,3,4,5,2,6,8]=>[8,6,2,5,4,3,7,1]
[1,6,7,5,4,2,3,8]=>[8,3,2,4,5,7,6,1]
[4,7,8,5,1,3,2,6]=>[6,2,3,1,5,8,7,4]
[4,2,1,8,7,5,3,6]=>[6,3,5,7,8,1,2,4]
[8,2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2,8]
[5,1,4,8,2,3,6,7]=>[7,6,3,2,8,4,1,5]
[5,3,2,4,8,1,7,6]=>[6,7,1,8,4,2,3,5]
[8,2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2,8]
[8,7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7,8]
[7,4,1,3,6,5,8,2]=>[2,8,5,6,3,1,4,7]
[4,2,8,5,3,1,6,7]=>[7,6,1,3,5,8,2,4]
[6,8,5,3,2,7,1,4]=>[4,1,7,2,3,5,8,6]
[8,3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3,8]
[4,6,2,7,1,3,8,5]=>[5,8,3,1,7,2,6,4]
[7,2,5,3,6,1,8,4]=>[4,8,1,6,3,5,2,7]
[8,2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2,8]
[3,4,6,5,1,8,7,2]=>[2,7,8,1,5,6,4,3]
[3,4,6,5,1,7,2,8]=>[8,2,7,1,5,6,4,3]
[8,7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7,8]
[3,5,1,4,8,6,7,2]=>[2,7,6,8,4,1,5,3]
[3,5,1,4,7,2,8,6]=>[6,8,2,7,4,1,5,3]
[4,5,1,8,7,3,2,6]=>[6,2,3,7,8,1,5,4]
[5,1,4,7,3,2,6,8]=>[8,6,2,3,7,4,1,5]
[5,1,4,8,7,3,2,6]=>[6,2,3,7,8,4,1,5]
[7,2,5,3,1,4,8,6]=>[6,8,4,1,3,5,2,7]
[7,1,4,8,5,3,2,6]=>[6,2,3,5,8,4,1,7]
[3,8,2,6,7,1,5,4]=>[4,5,1,7,6,2,8,3]
[8,3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3,8]
[5,2,8,7,3,1,4,6]=>[6,4,1,3,7,8,2,5]
[6,7,2,5,3,1,4,8]=>[8,4,1,3,5,2,7,6]
[6,1,3,4,5,2,8,7]=>[7,8,2,5,4,3,1,6]
[6,1,3,4,2,7,8,5]=>[5,8,7,2,4,3,1,6]
[6,5,2,3,1,4,8,7]=>[7,8,4,1,3,2,5,6]
[6,1,3,4,8,2,7,5]=>[5,7,2,8,4,3,1,6]
[6,5,2,3,7,8,1,4]=>[4,1,8,7,3,2,5,6]
[8,4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4,8]
[1,5,3,8,4,2,7,6]=>[6,7,2,4,8,3,5,1]
[7,4,2,6,3,8,1,5]=>[5,1,8,3,6,2,4,7]
[8,5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5,8]
[5,4,2,1,8,3,7,6]=>[6,7,3,8,1,2,4,5]
[1,5,3,7,8,2,6,4]=>[4,6,2,8,7,3,5,1]
[3,1,6,4,2,7,8,5]=>[5,8,7,2,4,6,1,3]
[3,1,7,4,2,6,8,5]=>[5,8,6,2,4,7,1,3]
[3,8,1,4,2,6,7,5]=>[5,7,6,2,4,1,8,3]
[7,4,8,2,3,5,1,6]=>[6,1,5,3,2,8,4,7]
[8,4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4,8]
[8,4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4,8]
[8,1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1,8]
[8,6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6,8]
[6,4,5,2,1,3,8,7]=>[7,8,3,1,2,5,4,6]
[3,4,7,6,2,8,1,5]=>[5,1,8,2,6,7,4,3]
[3,8,5,1,4,6,7,2]=>[2,7,6,4,1,5,8,3]
[3,8,1,7,4,5,6,2]=>[2,6,5,4,7,1,8,3]
[3,1,6,8,4,2,7,5]=>[5,7,2,4,8,6,1,3]
[3,1,8,7,4,2,6,5]=>[5,6,2,4,7,8,1,3]
[3,7,5,6,2,8,1,4]=>[4,1,8,2,6,5,7,3]
[8,4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4,8]
[8,4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4,8]
[8,1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1,8]
[8,1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1,8]
[1,5,6,8,3,2,7,4]=>[4,7,2,3,8,6,5,1]
[7,4,5,6,2,8,1,3]=>[3,1,8,2,6,5,4,7]
[3,1,6,7,2,5,8,4]=>[4,8,5,2,7,6,1,3]
[1,5,2,8,3,6,7,4]=>[4,7,6,3,8,2,5,1]
[5,6,2,3,7,4,1,8]=>[8,1,4,7,3,2,6,5]
[6,2,4,7,3,5,1,8]=>[8,1,5,3,7,4,2,6]
[1,4,8,5,3,6,7,2]=>[2,7,6,3,5,8,4,1]
[2,5,6,3,1,8,4,7]=>[7,4,8,1,3,6,5,2]
[4,5,1,2,7,8,6,3]=>[3,6,8,7,2,1,5,4]
[4,8,5,1,2,6,7,3]=>[3,7,6,2,1,5,8,4]
[4,6,7,5,1,2,8,3]=>[3,8,2,1,5,7,6,4]
[7,2,8,1,4,5,3,6]=>[6,3,5,4,1,8,2,7]
[6,1,4,7,3,8,2,5]=>[5,2,8,3,7,4,1,6]
[7,1,6,3,4,8,2,5]=>[5,2,8,4,3,6,1,7]
[2,8,4,6,3,1,5,7]=>[7,5,1,3,6,4,8,2]
[8,2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2,8]
[3,7,4,1,5,8,2,6]=>[6,2,8,5,1,4,7,3]
[3,8,4,1,7,2,5,6]=>[6,5,2,7,1,4,8,3]
[6,7,5,1,3,8,2,4]=>[4,2,8,3,1,5,7,6]
[8,5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5,8]
[7,8,6,2,4,1,3,5]=>[5,3,1,4,2,6,8,7]
[8,2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2,8]
[8,1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1,8]
[1,5,6,3,8,4,7,2]=>[2,7,4,8,3,6,5,1]
[5,6,1,3,7,2,8,4]=>[4,8,2,7,3,1,6,5]
[5,6,1,8,2,3,7,4]=>[4,7,3,2,8,1,6,5]
[5,6,1,2,8,4,7,3]=>[3,7,4,8,2,1,6,5]
[3,7,8,6,4,1,2,5]=>[5,2,1,4,6,8,7,3]
[5,7,8,3,6,4,2,1]=>[1,2,4,6,3,8,7,5]
[5,7,8,1,6,4,2,3]=>[3,2,4,6,1,8,7,5]
[3,7,8,1,6,4,2,5]=>[5,2,4,6,1,8,7,3]
[1,7,8,6,3,4,2,5]=>[5,2,4,3,6,8,7,1]
[3,7,5,8,6,4,2,1]=>[1,2,4,6,8,5,7,3]
[1,7,3,8,6,4,2,5]=>[5,2,4,6,8,3,7,1]
[5,7,1,8,6,4,2,3]=>[3,2,4,6,8,1,7,5]
[7,8,1,5,6,4,2,3]=>[3,2,4,6,5,1,8,7]
[7,8,3,5,6,4,2,1]=>[1,2,4,6,5,3,8,7]
[7,1,8,5,6,4,2,3]=>[3,2,4,6,5,8,1,7]
[7,1,5,8,6,4,2,3]=>[3,2,4,6,8,5,1,7]
[7,3,5,8,6,4,2,1]=>[1,2,4,6,8,5,3,7]
[5,3,7,8,6,4,2,1]=>[1,2,4,6,8,7,3,5]
[3,1,8,5,6,4,2,7]=>[7,2,4,6,5,8,1,3]
[8,3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3,8]
[8,1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1,8]
[1,8,3,5,6,4,2,7]=>[7,2,4,6,5,3,8,1]
[1,3,8,5,6,4,2,7]=>[7,2,4,6,5,8,3,1]
[1,3,5,8,6,4,2,7]=>[7,2,4,6,8,5,3,1]
[1,5,7,8,6,4,2,3]=>[3,2,4,6,8,7,5,1]
[1,8,2,6,5,3,4,7]=>[7,4,3,5,6,2,8,1]
[8,6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6,8]
[8,5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5,8]
[7,6,1,2,3,8,4,5]=>[5,4,8,3,2,1,6,7]
[2,7,8,4,1,3,5,6]=>[6,5,3,1,4,8,7,2]
[6,8,1,2,3,7,4,5]=>[5,4,7,3,2,1,8,6]
[8,1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1,8]
[7,5,2,3,1,8,4,6]=>[6,4,8,1,3,2,5,7]
[8,1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1,8]
[8,1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1,8]
[8,1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1,8]
[2,7,3,5,8,4,1,6]=>[6,1,4,8,5,3,7,2]
[3,7,6,2,5,8,4,1]=>[1,4,8,5,2,6,7,3]
[5,2,7,3,4,8,1,6]=>[6,1,8,4,3,7,2,5]
[8,6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6,8]
[4,7,2,3,5,8,1,6]=>[6,1,8,5,3,2,7,4]
[2,5,8,3,6,4,1,7]=>[7,1,4,6,3,8,5,2]
[7,4,2,1,5,3,8,6]=>[6,8,3,5,1,2,4,7]
[7,4,6,8,2,3,5,1]=>[1,5,3,2,8,6,4,7]
[3,6,8,7,1,2,4,5]=>[5,4,2,1,7,8,6,3]
[3,2,7,1,5,6,4,8]=>[8,4,6,5,1,7,2,3]
[4,8,7,1,6,5,2,3]=>[3,2,5,6,1,7,8,4]
[4,2,1,6,5,7,8,3]=>[3,8,7,5,6,1,2,4]
[4,3,1,5,6,7,2,8]=>[8,2,7,6,5,1,3,4]
[4,5,8,2,6,3,7,1]=>[1,7,3,6,2,8,5,4]
[5,2,1,4,7,3,6,8]=>[8,6,3,7,4,1,2,5]
[2,7,5,4,1,3,6,8]=>[8,6,3,1,4,5,7,2]
[3,7,4,5,6,1,2,8]=>[8,2,1,6,5,4,7,3]
[2,7,4,6,5,1,8,3]=>[3,8,1,5,6,4,7,2]
[2,3,7,4,5,1,6,8]=>[8,6,1,5,4,7,3,2]
[6,7,3,1,2,8,5,4]=>[4,5,8,2,1,3,7,6]
[6,8,7,5,2,1,4,3]=>[3,4,1,2,5,7,8,6]
[7,8,2,6,3,1,4,5]=>[5,4,1,3,6,2,8,7]
[2,8,6,3,5,1,4,7]=>[7,4,1,5,3,6,8,2]
[7,2,6,3,1,4,5,8]=>[8,5,4,1,3,6,2,7]
[7,8,6,4,1,5,2,3]=>[3,2,5,1,4,6,8,7]
[2,7,6,5,3,4,1,8]=>[8,1,4,3,5,6,7,2]
[8,2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2,8]
[8,7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7,8]
[1,2,8,6,4,5,3,7]=>[7,3,5,4,6,8,2,1]
[1,5,8,7,6,3,4,2]=>[2,4,3,6,7,8,5,1]
[1,4,6,8,5,3,2,7]=>[7,2,3,5,8,6,4,1]
[1,4,7,8,5,6,3,2]=>[2,3,6,5,8,7,4,1]
[1,2,5,8,6,4,7,3]=>[3,7,4,6,8,5,2,1]
[1,8,6,7,2,3,5,4]=>[4,5,3,2,7,6,8,1]
[1,4,8,5,6,3,2,7]=>[7,2,3,6,5,8,4,1]
[1,6,4,8,5,7,3,2]=>[2,3,7,5,8,4,6,1]
[1,7,3,2,6,8,5,4]=>[4,5,8,6,2,3,7,1]
[1,7,3,6,4,2,5,8]=>[8,5,2,4,6,3,7,1]
[1,6,8,5,2,7,3,4]=>[4,3,7,2,5,8,6,1]
[1,6,8,5,4,2,3,7]=>[7,3,2,4,5,8,6,1]
[1,6,3,2,4,5,8,7]=>[7,8,5,4,2,3,6,1]
[1,7,4,5,8,6,2,3]=>[3,2,6,8,5,4,7,1]
[1,2,8,6,5,3,4,7]=>[7,4,3,5,6,8,2,1]
[1,3,6,7,2,8,5,4]=>[4,5,8,2,7,6,3,1]
[1,8,5,2,6,7,3,4]=>[4,3,7,6,2,5,8,1]
[1,3,4,8,5,2,7,6]=>[6,7,2,5,8,4,3,1]
[1,3,8,5,2,4,7,6]=>[6,7,4,2,5,8,3,1]
[3,5,8,7,6,2,4,1]=>[1,4,2,6,7,8,5,3]
[6,5,3,7,4,1,8,2]=>[2,8,1,4,7,3,5,6]
[3,1,5,4,6,8,7,2]=>[2,7,8,6,4,5,1,3]
[3,1,6,4,2,5,8,7]=>[7,8,5,2,4,6,1,3]
[3,6,1,4,5,7,8,2]=>[2,8,7,5,4,1,6,3]
[1,8,4,7,2,3,6,5]=>[5,6,3,2,7,4,8,1]
[5,7,8,2,4,6,1,3]=>[3,1,6,4,2,8,7,5]
[5,4,2,3,6,8,1,7]=>[7,1,8,6,3,2,4,5]
[3,8,1,6,4,2,5,7]=>[7,5,2,4,6,1,8,3]
[7,3,2,1,8,6,4,5]=>[5,4,6,8,1,2,3,7]
[8,7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7,8]
[8,2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2,8]
[1,8,3,7,4,6,5,2]=>[2,5,6,4,7,3,8,1]
[8,2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2,8]
[3,1,7,8,6,2,5,4]=>[4,5,2,6,8,7,1,3]
[4,8,1,2,6,5,7,3]=>[3,7,5,6,2,1,8,4]
[5,6,1,8,3,7,2,4]=>[4,2,7,3,8,1,6,5]
[2,8,1,6,5,3,7,4]=>[4,7,3,5,6,1,8,2]
[2,1,5,7,6,3,8,4]=>[4,8,3,6,7,5,1,2]
[4,1,2,5,7,6,8,3]=>[3,8,6,7,5,2,1,4]
[4,3,5,1,7,8,6,2]=>[2,6,8,7,1,5,3,4]
[1,8,5,2,3,4,7,6]=>[6,7,4,3,2,5,8,1]
[1,5,8,2,3,4,7,6]=>[6,7,4,3,2,8,5,1]
[1,2,7,8,4,5,6,3]=>[3,6,5,4,8,7,2,1]
[4,8,5,1,2,3,7,6]=>[6,7,3,2,1,5,8,4]
[4,3,8,7,6,2,5,1]=>[1,5,2,6,7,8,3,4]
[5,4,8,2,7,6,3,1]=>[1,3,6,7,2,8,4,5]
[3,2,5,6,4,8,1,7]=>[7,1,8,4,6,5,2,3]
[2,3,6,4,1,7,5,8]=>[8,5,7,1,4,6,3,2]
[2,3,7,1,5,8,4,6]=>[6,4,8,5,1,7,3,2]
[2,3,6,1,7,5,8,4]=>[4,8,5,7,1,6,3,2]
[2,3,6,5,1,7,4,8]=>[8,4,7,1,5,6,3,2]
[3,6,4,2,1,5,7,8]=>[8,7,5,1,2,4,6,3]
[4,3,2,6,5,8,1,7]=>[7,1,8,5,6,2,3,4]
[4,6,5,2,1,7,8,3]=>[3,8,7,1,2,5,6,4]
[4,6,1,7,5,8,3,2]=>[2,3,8,5,7,1,6,4]
[4,2,6,5,1,7,8,3]=>[3,8,7,1,5,6,2,4]
[4,1,5,7,6,8,3,2]=>[2,3,8,6,7,5,1,4]
[3,5,6,2,1,4,7,8]=>[8,7,4,1,2,6,5,3]
[4,2,5,7,6,8,3,1]=>[1,3,8,6,7,5,2,4]
[4,3,6,5,2,8,1,7]=>[7,1,8,2,5,6,3,4]
[4,3,6,5,1,7,8,2]=>[2,8,7,1,5,6,3,4]
[3,6,4,5,2,1,7,8]=>[8,7,1,2,5,4,6,3]
[3,5,6,4,2,8,1,7]=>[7,1,8,2,4,6,5,3]
[4,6,5,3,1,7,8,2]=>[2,8,7,1,3,5,6,4]
[5,8,1,4,2,3,6,7]=>[7,6,3,2,4,1,8,5]
[4,5,8,2,3,1,6,7]=>[7,6,1,3,2,8,5,4]
[3,5,4,8,1,7,2,6]=>[6,2,7,1,8,4,5,3]
[5,3,6,8,1,4,7,2]=>[2,7,4,1,8,6,3,5]
[3,5,1,8,6,4,7,2]=>[2,7,4,6,8,1,5,3]
[4,7,2,8,3,1,6,5]=>[5,6,1,3,8,2,7,4]
[1,2,5,6,8,3,7,4]=>[4,7,3,8,6,5,2,1]
[5,3,8,4,6,2,7,1]=>[1,7,2,6,4,8,3,5]
[7,4,8,1,5,2,6,3]=>[3,6,2,5,1,8,4,7]
[8,3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3,8]
[4,1,5,6,8,7,2,3]=>[3,2,7,8,6,5,1,4]
[1,2,5,6,8,4,7,3]=>[3,7,4,8,6,5,2,1]
[1,5,6,8,4,7,2,3]=>[3,2,7,4,8,6,5,1]
[5,6,8,1,2,4,7,3]=>[3,7,4,2,1,8,6,5]
[6,8,1,4,5,7,2,3]=>[3,2,7,5,4,1,8,6]
[4,3,5,1,8,6,7,2]=>[2,7,6,8,1,5,3,4]
[1,3,5,6,8,4,7,2]=>[2,7,4,8,6,5,3,1]
[5,6,8,2,3,4,7,1]=>[1,7,4,3,2,8,6,5]
[6,5,1,2,4,8,7,3]=>[3,7,8,4,2,1,5,6]
[5,8,7,2,1,3,6,4]=>[4,6,3,1,2,7,8,5]
[5,1,7,2,8,6,3,4]=>[4,3,6,8,2,7,1,5]
[6,1,5,3,4,8,7,2]=>[2,7,8,4,3,5,1,6]
[5,8,6,3,2,1,4,7]=>[7,4,1,2,3,6,8,5]
[8,7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7,8]
[3,2,1,7,8,6,4,5]=>[5,4,6,8,7,1,2,3]
[8,6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6,8]
[1,5,6,4,2,8,7,3]=>[3,7,8,2,4,6,5,1]
[7,5,1,4,8,2,3,6]=>[6,3,2,8,4,1,5,7]
[3,2,8,1,7,5,6,4]=>[4,6,5,7,1,8,2,3]
[8,4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4,8]
[6,1,7,8,4,2,3,5]=>[5,3,2,4,8,7,1,6]
[7,4,3,1,8,5,2,6]=>[6,2,5,8,1,3,4,7]
[7,8,1,6,3,4,5,2]=>[2,5,4,3,6,1,8,7]
[6,8,1,7,3,4,2,5]=>[5,2,4,3,7,1,8,6]
[4,6,5,3,8,2,7,1]=>[1,7,2,8,3,5,6,4]
[4,5,6,3,8,1,7,2]=>[2,7,1,8,3,6,5,4]
[1,3,7,6,4,5,8,2]=>[2,8,5,4,6,7,3,1]
[3,2,5,8,4,7,6,1]=>[1,6,7,4,8,5,2,3]
[1,4,5,3,8,6,2,7]=>[7,2,6,8,3,5,4,1]
[1,3,5,8,4,7,6,2]=>[2,6,7,4,8,5,3,1]
[1,4,2,6,7,5,8,3]=>[3,8,5,7,6,2,4,1]
[7,8,3,5,2,1,6,4]=>[4,6,1,2,5,3,8,7]
[7,8,6,3,5,2,4,1]=>[1,4,2,5,3,6,8,7]
[6,3,7,5,2,4,1,8]=>[8,1,4,2,5,7,3,6]
[1,8,2,4,5,7,3,6]=>[6,3,7,5,4,2,8,1]
[6,2,4,5,7,3,1,8]=>[8,1,3,7,5,4,2,6]
[7,8,2,4,6,5,3,1]=>[1,3,5,6,4,2,8,7]
[7,8,1,5,6,4,3,2]=>[2,3,4,6,5,1,8,7]
[6,1,7,4,5,3,2,8]=>[8,2,3,5,4,7,1,6]
[6,3,7,5,1,4,2,8]=>[8,2,4,1,5,7,3,6]
[3,8,5,7,4,2,1,6]=>[6,1,2,4,7,5,8,3]
[2,8,3,7,5,1,4,6]=>[6,4,1,5,7,3,8,2]
[2,8,5,4,7,3,6,1]=>[1,6,3,7,4,5,8,2]
[5,3,1,2,6,7,4,8]=>[8,4,7,6,2,1,3,5]
[1,3,8,2,4,6,7,5]=>[5,7,6,4,2,8,3,1]
[6,1,7,3,4,2,5,8]=>[8,5,2,4,3,7,1,6]
[6,4,7,2,1,3,5,8]=>[8,5,3,1,2,7,4,6]
[4,3,7,8,6,2,1,5]=>[5,1,2,6,8,7,3,4]
[3,8,5,4,7,2,6,1]=>[1,6,2,7,4,5,8,3]
[4,8,5,3,7,1,6,2]=>[2,6,1,7,3,5,8,4]
[3,8,2,6,5,7,4,1]=>[1,4,7,5,6,2,8,3]
[3,1,7,2,5,8,6,4]=>[4,6,8,5,2,7,1,3]
[4,3,7,8,1,6,5,2]=>[2,5,6,1,8,7,3,4]
[2,8,7,6,3,5,1,4]=>[4,1,5,3,6,7,8,2]
[2,8,4,7,6,5,1,3]=>[3,1,5,6,7,4,8,2]
[2,8,7,1,5,6,4,3]=>[3,4,6,5,1,7,8,2]
[3,5,6,2,8,1,7,4]=>[4,7,1,8,2,6,5,3]
[5,3,1,8,6,2,7,4]=>[4,7,2,6,8,1,3,5]
[3,1,4,6,8,2,7,5]=>[5,7,2,8,6,4,1,3]
[4,1,5,7,3,8,2,6]=>[6,2,8,3,7,5,1,4]
[6,2,5,8,4,7,3,1]=>[1,3,7,4,8,5,2,6]
[7,2,8,5,4,3,6,1]=>[1,6,3,4,5,8,2,7]
[7,1,6,8,2,5,3,4]=>[4,3,5,2,8,6,1,7]
[2,6,5,7,8,4,1,3]=>[3,1,4,8,7,5,6,2]
[3,6,5,7,4,1,8,2]=>[2,8,1,4,7,5,6,3]
[1,6,5,7,4,2,3,8]=>[8,3,2,4,7,5,6,1]
[3,4,7,5,2,1,8,6]=>[6,8,1,2,5,7,4,3]
[3,6,7,5,8,4,1,2]=>[2,1,4,8,5,7,6,3]
[3,4,7,2,5,6,8,1]=>[1,8,6,5,2,7,4,3]
[2,5,3,7,8,6,4,1]=>[1,4,6,8,7,3,5,2]
[7,2,8,4,5,6,3,1]=>[1,3,6,5,4,8,2,7]
[6,2,3,8,5,4,7,1]=>[1,7,4,5,8,3,2,6]
[5,1,4,7,8,6,3,2]=>[2,3,6,8,7,4,1,5]
[5,7,8,6,4,1,3,2]=>[2,3,1,4,6,8,7,5]
[6,8,7,3,2,4,5,1]=>[1,5,4,2,3,7,8,6]
[5,1,4,8,6,7,3,2]=>[2,3,7,6,8,4,1,5]
[3,8,6,1,4,5,7,2]=>[2,7,5,4,1,6,8,3]
[2,7,4,1,3,8,5,6]=>[6,5,8,3,1,4,7,2]
[6,1,4,8,5,7,2,3]=>[3,2,7,5,8,4,1,6]
[2,8,5,1,4,6,7,3]=>[3,7,6,4,1,5,8,2]
[2,3,1,6,5,8,4,7]=>[7,4,8,5,6,1,3,2]
[7,5,8,6,4,1,3,2]=>[2,3,1,4,6,8,5,7]
[2,8,5,6,4,1,3,7]=>[7,3,1,4,6,5,8,2]
[2,8,5,1,4,6,3,7]=>[7,3,6,4,1,5,8,2]
[2,7,6,3,8,5,1,4]=>[4,1,5,8,3,6,7,2]
[2,6,3,7,8,5,1,4]=>[4,1,5,8,7,3,6,2]
[2,3,1,7,8,4,6,5]=>[5,6,4,8,7,1,3,2]
[2,3,1,8,4,6,5,7]=>[7,5,6,4,8,1,3,2]
[2,3,1,7,6,8,4,5]=>[5,4,8,6,7,1,3,2]
[2,3,1,8,4,6,7,5]=>[5,7,6,4,8,1,3,2]
[2,7,3,6,8,5,1,4]=>[4,1,5,8,6,3,7,2]
[5,2,3,1,8,4,6,7]=>[7,6,4,8,1,3,2,5]
[4,2,3,5,1,8,6,7]=>[7,6,8,1,5,3,2,4]
[5,8,7,2,6,4,1,3]=>[3,1,4,6,2,7,8,5]
[5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]
[6,8,5,1,7,4,3,2]=>[2,3,4,7,1,5,8,6]
[6,8,5,2,7,4,1,3]=>[3,1,4,7,2,5,8,6]
[6,8,5,3,7,1,4,2]=>[2,4,1,7,3,5,8,6]
[6,8,5,4,1,7,3,2]=>[2,3,7,1,4,5,8,6]
[7,3,8,6,5,2,1,4]=>[4,1,2,5,6,8,3,7]
[7,4,8,6,3,2,1,5]=>[5,1,2,3,6,8,4,7]
[7,5,8,1,6,4,3,2]=>[2,3,4,6,1,8,5,7]
[7,5,8,2,6,4,1,3]=>[3,1,4,6,2,8,5,7]
[7,6,2,8,5,4,1,3]=>[3,1,4,5,8,2,6,7]
[6,5,4,2,1,8,7,3]=>[3,7,8,1,2,4,5,6]
[6,5,4,2,8,1,7,3]=>[3,7,1,8,2,4,5,6]
[6,3,2,8,1,7,5,4]=>[4,5,7,1,8,2,3,6]
[2,6,8,7,1,3,5,4]=>[4,5,3,1,7,8,6,2]
[5,3,8,7,6,2,1,4]=>[4,1,2,6,7,8,3,5]
[3,7,6,1,4,5,2,8]=>[8,2,5,4,1,6,7,3]
[4,1,6,2,7,5,3,8]=>[8,3,5,7,2,6,1,4]
[7,6,2,5,3,1,4,8]=>[8,4,1,3,5,2,6,7]
[4,3,1,7,6,2,5,8]=>[8,5,2,6,7,1,3,4]
[4,5,3,1,2,8,6,7]=>[7,6,8,2,1,3,5,4]
[2,4,5,3,1,8,6,7]=>[7,6,8,1,3,5,4,2]
[5,7,6,2,3,1,4,8]=>[8,4,1,3,2,6,7,5]
[4,1,3,7,5,2,6,8]=>[8,6,2,5,7,3,1,4]
[4,1,6,3,2,7,5,8]=>[8,5,7,2,3,6,1,4]
[7,5,4,1,3,2,6,8]=>[8,6,2,3,1,4,5,7]
[2,4,8,5,6,3,1,7]=>[7,1,3,6,5,8,4,2]
[2,5,7,4,1,3,6,8]=>[8,6,3,1,4,7,5,2]
[5,7,4,1,3,2,6,8]=>[8,6,2,3,1,4,7,5]
[2,6,8,4,5,3,1,7]=>[7,1,3,5,4,8,6,2]
[5,2,3,7,4,1,6,8]=>[8,6,1,4,7,3,2,5]
[4,5,1,6,3,2,7,8]=>[8,7,2,3,6,1,5,4]
[5,1,6,3,2,4,7,8]=>[8,7,4,2,3,6,1,5]
[4,2,5,1,6,3,7,8]=>[8,7,3,6,1,5,2,4]
[5,1,6,2,4,3,7,8]=>[8,7,3,4,2,6,1,5]
[3,5,4,2,1,8,6,7]=>[7,6,8,1,2,4,5,3]
[5,3,4,8,7,6,2,1]=>[1,2,6,7,8,4,3,5]
[8,3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3,8]
[8,4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4,8]
[1,8,2,6,7,4,5,3]=>[3,5,4,7,6,2,8,1]
[8,5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5,8]
[8,5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5,8]
[8,2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2,8]
[1,2,8,3,4,7,6,5]=>[5,6,7,4,3,8,2,1]
[6,8,5,2,7,1,3,4]=>[4,3,1,7,2,5,8,6]
[1,5,7,2,6,8,4,3]=>[3,4,8,6,2,7,5,1]
[7,6,4,5,2,1,8,3]=>[3,8,1,2,5,4,6,7]
[8,2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2,8]
[8,7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7,8]
[7,3,8,5,4,2,1,6]=>[6,1,2,4,5,8,3,7]
[6,3,4,7,2,8,5,1]=>[1,5,8,2,7,4,3,6]
[8,1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1,8]
[7,1,8,5,3,4,2,6]=>[6,2,4,3,5,8,1,7]
[6,8,4,3,1,5,2,7]=>[7,2,5,1,3,4,8,6]
[5,6,4,1,8,2,3,7]=>[7,3,2,8,1,4,6,5]
[1,4,5,8,3,2,6,7]=>[7,6,2,3,8,5,4,1]
[1,5,2,4,7,8,6,3]=>[3,6,8,7,4,2,5,1]
[5,2,7,4,3,8,6,1]=>[1,6,8,3,4,7,2,5]
[2,7,3,4,8,5,6,1]=>[1,6,5,8,4,3,7,2]
[2,7,6,8,3,5,4,1]=>[1,4,5,3,8,6,7,2]
[2,7,4,5,3,8,6,1]=>[1,6,8,3,5,4,7,2]
[4,6,7,3,1,2,8,5]=>[5,8,2,1,3,7,6,4]
[6,2,3,7,4,5,8,1]=>[1,8,5,4,7,3,2,6]
[1,6,3,2,7,5,8,4]=>[4,8,5,7,2,3,6,1]
[7,3,5,2,6,8,1,4]=>[4,1,8,6,2,5,3,7]
[6,4,2,7,1,5,8,3]=>[3,8,5,1,7,2,4,6]
[2,5,3,6,4,7,8,1]=>[1,8,7,4,6,3,5,2]
[4,2,5,3,6,7,8,1]=>[1,8,7,6,3,5,2,4]
[1,6,5,2,4,7,3,8]=>[8,3,7,4,2,5,6,1]
[1,8,7,2,4,6,3,5]=>[5,3,6,4,2,7,8,1]
[1,8,7,2,5,4,3,6]=>[6,3,4,5,2,7,8,1]
[1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]
[1,5,4,2,8,7,3,6]=>[6,3,7,8,2,4,5,1]
[1,6,8,3,5,2,4,7]=>[7,4,2,5,3,8,6,1]
[1,7,6,2,3,5,8,4]=>[4,8,5,3,2,6,7,1]
[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]
[1,3,8,6,5,2,4,7]=>[7,4,2,5,6,8,3,1]
[1,4,7,3,2,8,6,5]=>[5,6,8,2,3,7,4,1]
[1,8,6,5,2,4,7,3]=>[3,7,4,2,5,6,8,1]
[1,6,8,4,3,2,5,7]=>[7,5,2,3,4,8,6,1]
[1,7,5,3,2,6,4,8]=>[8,4,6,2,3,5,7,1]
[1,2,6,5,3,8,4,7]=>[7,4,8,3,5,6,2,1]
[1,7,3,2,8,4,6,5]=>[5,6,4,8,2,3,7,1]
[1,6,5,2,8,4,7,3]=>[3,7,4,8,2,5,6,1]
[1,8,3,7,2,4,6,5]=>[5,6,4,2,7,3,8,1]
[5,4,2,8,7,6,1,3]=>[3,1,6,7,8,2,4,5]
[8,6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6,8]
[7,3,2,1,6,5,8,4]=>[4,8,5,6,1,2,3,7]
[7,3,2,6,1,5,8,4]=>[4,8,5,1,6,2,3,7]
[7,6,3,5,2,8,1,4]=>[4,1,8,2,5,3,6,7]
[6,8,5,2,7,1,4,3]=>[3,4,1,7,2,5,8,6]
[6,8,2,5,1,7,4,3]=>[3,4,7,1,5,2,8,6]
[6,7,2,1,5,8,3,4]=>[4,3,8,5,1,2,7,6]
[6,7,5,2,8,1,3,4]=>[4,3,1,8,2,5,7,6]
[5,6,8,1,7,4,2,3]=>[3,2,4,7,1,8,6,5]
[5,8,1,2,6,7,4,3]=>[3,4,7,6,2,1,8,5]
[6,8,5,7,2,1,4,3]=>[3,4,1,2,7,5,8,6]
[4,1,8,2,5,7,6,3]=>[3,6,7,5,2,8,1,4]
[6,5,8,2,7,4,1,3]=>[3,1,4,7,2,8,5,6]
[6,2,5,7,3,1,8,4]=>[4,8,1,3,7,5,2,6]
[8,4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4,8]
[6,2,1,7,5,8,4,3]=>[3,4,8,5,7,1,2,6]
[8,6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6,8]
[1,6,4,8,5,3,7,2]=>[2,7,3,5,8,4,6,1]
[2,8,1,6,5,4,7,3]=>[3,7,4,5,6,1,8,2]
[3,5,6,2,8,7,1,4]=>[4,1,7,8,2,6,5,3]
[8,2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2,8]
[5,2,8,6,1,3,7,4]=>[4,7,3,1,6,8,2,5]
[5,2,3,8,6,1,7,4]=>[4,7,1,6,8,3,2,5]
[1,6,5,3,4,7,8,2]=>[2,8,7,4,3,5,6,1]
[2,5,1,7,6,4,8,3]=>[3,8,4,6,7,1,5,2]
[4,2,6,7,8,1,3,5]=>[5,3,1,8,7,6,2,4]
[4,6,5,1,3,7,8,2]=>[2,8,7,3,1,5,6,4]
[5,1,8,3,6,2,7,4]=>[4,7,2,6,3,8,1,5]
[5,1,7,2,6,4,8,3]=>[3,8,4,6,2,7,1,5]
[7,4,5,2,6,3,8,1]=>[1,8,3,6,2,5,4,7]
[2,5,1,8,7,6,4,3]=>[3,4,6,7,8,1,5,2]
[4,7,6,1,3,5,8,2]=>[2,8,5,3,1,6,7,4]
[4,2,5,7,6,8,1,3]=>[3,1,8,6,7,5,2,4]
[4,1,7,6,2,5,8,3]=>[3,8,5,2,6,7,1,4]
[4,1,7,6,5,8,2,3]=>[3,2,8,5,6,7,1,4]
[8,2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2,8]
[6,5,4,1,3,7,8,2]=>[2,8,7,3,1,4,5,6]
[5,2,1,7,6,4,8,3]=>[3,8,4,6,7,1,2,5]
[4,2,3,6,7,8,1,5]=>[5,1,8,7,6,3,2,4]
[4,7,2,1,6,5,8,3]=>[3,8,5,6,1,2,7,4]
[2,7,6,4,1,5,8,3]=>[3,8,5,1,4,6,7,2]
[2,4,3,6,7,8,1,5]=>[5,1,8,7,6,3,4,2]
[5,4,1,7,2,8,3,6]=>[6,3,8,2,7,1,4,5]
[6,8,5,2,7,3,1,4]=>[4,1,3,7,2,5,8,6]
[6,7,5,2,8,3,1,4]=>[4,1,3,8,2,5,7,6]
[4,1,7,6,8,2,3,5]=>[5,3,2,8,6,7,1,4]
[7,5,2,4,1,8,3,6]=>[6,3,8,1,4,2,5,7]
[5,2,1,3,7,8,4,6]=>[6,4,8,7,3,1,2,5]
[8,4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4,8]
[8,5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5,8]
[7,2,1,3,8,4,5,6]=>[6,5,4,8,3,1,2,7]
[7,1,2,8,5,4,6,3]=>[3,6,4,5,8,2,1,7]
[8,2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2,8]
[7,1,6,8,2,4,3,5]=>[5,3,4,2,8,6,1,7]
[4,8,1,7,3,2,6,5]=>[5,6,2,3,7,1,8,4]
[4,7,1,8,3,2,6,5]=>[5,6,2,3,8,1,7,4]
[7,8,5,2,6,3,1,4]=>[4,1,3,6,2,5,8,7]
[5,1,8,6,7,4,2,3]=>[3,2,4,7,6,8,1,5]
[5,1,7,2,6,8,3,4]=>[4,3,8,6,2,7,1,5]
[4,7,1,6,3,8,2,5]=>[5,2,8,3,6,1,7,4]
[6,5,1,3,7,8,2,4]=>[4,2,8,7,3,1,5,6]
[7,2,1,4,3,5,8,6]=>[6,8,5,3,4,1,2,7]
[6,1,2,7,4,8,3,5]=>[5,3,8,4,7,2,1,6]
[7,1,2,5,4,3,8,6]=>[6,8,3,4,5,2,1,7]
[7,2,1,3,5,4,8,6]=>[6,8,4,5,3,1,2,7]
[4,1,2,8,6,5,7,3]=>[3,7,5,6,8,2,1,4]
[4,1,2,6,8,7,3,5]=>[5,3,7,8,6,2,1,4]
[5,1,2,7,8,6,3,4]=>[4,3,6,8,7,2,1,5]
[7,6,2,3,5,1,8,4]=>[4,8,1,5,3,2,6,7]
[6,1,2,4,3,7,8,5]=>[5,8,7,3,4,2,1,6]
[8,1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1,8]
[7,1,2,4,6,3,8,5]=>[5,8,3,6,4,2,1,7]
[7,1,2,6,5,3,8,4]=>[4,8,3,5,6,2,1,7]
[7,5,6,1,2,4,8,3]=>[3,8,4,2,1,6,5,7]
[7,1,4,5,2,3,6,8]=>[8,6,3,2,5,4,1,7]
[6,1,4,8,7,2,3,5]=>[5,3,2,7,8,4,1,6]
[6,1,8,5,7,2,3,4]=>[4,3,2,7,5,8,1,6]
[1,6,7,5,8,3,4,2]=>[2,4,3,8,5,7,6,1]
[6,1,7,5,8,2,3,4]=>[4,3,2,8,5,7,1,6]
[6,1,4,7,8,2,3,5]=>[5,3,2,8,7,4,1,6]
[8,1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1,8]
[5,8,6,1,2,4,7,3]=>[3,7,4,2,1,6,8,5]
[1,6,8,7,5,3,4,2]=>[2,4,3,5,7,8,6,1]
[6,1,8,7,5,2,3,4]=>[4,3,2,5,7,8,1,6]
[8,3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3,8]
[8,3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3,8]
[6,3,1,2,4,7,5,8]=>[8,5,7,4,2,1,3,6]
[6,7,1,4,2,3,5,8]=>[8,5,3,2,4,1,7,6]
[6,1,7,4,8,2,3,5]=>[5,3,2,8,4,7,1,6]
[6,7,8,5,1,2,4,3]=>[3,4,2,1,5,8,7,6]
[4,3,8,5,6,2,7,1]=>[1,7,2,6,5,8,3,4]
[4,3,8,6,7,2,5,1]=>[1,5,2,7,6,8,3,4]
[7,6,8,1,5,3,4,2]=>[2,4,3,5,1,8,6,7]
[7,4,6,1,5,3,8,2]=>[2,8,3,5,1,6,4,7]
[6,1,8,3,7,4,5,2]=>[2,5,4,7,3,8,1,6]
[6,3,8,1,7,2,5,4]=>[4,5,2,7,1,8,3,6]
[8,3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3,8]
[7,2,3,1,5,4,8,6]=>[6,8,4,5,1,3,2,7]
[6,1,5,4,8,2,7,3]=>[3,7,2,8,4,5,1,6]
[6,1,8,5,7,3,4,2]=>[2,4,3,7,5,8,1,6]
[6,2,5,4,7,1,8,3]=>[3,8,1,7,4,5,2,6]
[2,6,3,4,8,7,5,1]=>[1,5,7,8,4,3,6,2]
[8,4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4,8]
[8,4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4,8]
[8,1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1,8]
[8,7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7,8]
[8,3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3,8]
[8,2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2,8]
[2,7,1,8,5,6,4,3]=>[3,4,6,5,8,1,7,2]
[2,7,8,6,1,5,3,4]=>[4,3,5,1,6,8,7,2]
[4,6,8,2,3,5,1,7]=>[7,1,5,3,2,8,6,4]
[6,8,2,1,3,5,4,7]=>[7,4,5,3,1,2,8,6]
[3,5,1,6,4,8,2,7]=>[7,2,8,4,6,1,5,3]
[3,5,8,6,2,1,4,7]=>[7,4,1,2,6,8,5,3]
[2,4,8,5,6,1,3,7]=>[7,3,1,6,5,8,4,2]
[4,8,2,5,6,1,3,7]=>[7,3,1,6,5,2,8,4]
[5,3,8,4,2,7,6,1]=>[1,6,7,2,4,8,3,5]
[2,8,5,3,1,4,7,6]=>[6,7,4,1,3,5,8,2]
[1,7,8,4,6,3,2,5]=>[5,2,3,6,4,8,7,1]
[8,7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7,8]
[8,7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7,8]
[7,8,3,4,6,5,2,1]=>[1,2,5,6,4,3,8,7]
[8,7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7,8]
[3,1,2,8,6,5,7,4]=>[4,7,5,6,8,2,1,3]
[3,8,2,7,5,4,6,1]=>[1,6,4,5,7,2,8,3]
[8,7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7,8]
[2,8,7,4,6,3,5,1]=>[1,5,3,6,4,7,8,2]
[2,8,7,4,6,3,1,5]=>[5,1,3,6,4,7,8,2]
[8,3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3,8]
[8,4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4,8]
[7,3,8,6,2,1,4,5]=>[5,4,1,2,6,8,3,7]
[7,2,8,4,6,5,1,3]=>[3,1,5,6,4,8,2,7]
[5,8,6,4,7,2,3,1]=>[1,3,2,7,4,6,8,5]
[4,7,2,6,5,8,3,1]=>[1,3,8,5,6,2,7,4]
[3,6,8,5,7,4,2,1]=>[1,2,4,7,5,8,6,3]
[6,7,5,2,4,8,3,1]=>[1,3,8,4,2,5,7,6]
[8,1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1,8]
[8,2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2,8]
[6,7,5,4,8,1,3,2]=>[2,3,1,8,4,5,7,6]
[8,3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3,8]
[8,5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5,8]
[6,5,8,1,3,4,2,7]=>[7,2,4,3,1,8,5,6]
[6,8,4,5,1,3,2,7]=>[7,2,3,1,5,4,8,6]
[6,4,8,7,5,3,2,1]=>[1,2,3,5,7,8,4,6]
[6,7,1,4,3,2,8,5]=>[5,8,2,3,4,1,7,6]
[7,2,5,1,4,8,3,6]=>[6,3,8,4,1,5,2,7]
[5,8,1,3,4,2,7,6]=>[6,7,2,4,3,1,8,5]
[1,5,6,3,2,8,7,4]=>[4,7,8,2,3,6,5,1]
[1,3,7,6,8,4,2,5]=>[5,2,4,8,6,7,3,1]
[1,6,7,3,2,8,5,4]=>[4,5,8,2,3,7,6,1]
[3,2,7,6,8,4,5,1]=>[1,5,4,8,6,7,2,3]
[1,3,8,5,2,7,6,4]=>[4,6,7,2,5,8,3,1]
[6,4,1,5,2,8,7,3]=>[3,7,8,2,5,1,4,6]
[7,6,5,3,1,8,2,4]=>[4,2,8,1,3,5,6,7]
[2,5,1,4,7,3,6,8]=>[8,6,3,7,4,1,5,2]
[3,1,6,5,7,2,4,8]=>[8,4,2,7,5,6,1,3]
[2,6,1,5,7,4,8,3]=>[3,8,4,7,5,1,6,2]
[2,5,7,1,6,3,8,4]=>[4,8,3,6,1,7,5,2]
[2,6,1,5,7,4,3,8]=>[8,3,4,7,5,1,6,2]
[3,1,6,5,2,4,7,8]=>[8,7,4,2,5,6,1,3]
[3,6,5,1,4,2,7,8]=>[8,7,2,4,1,5,6,3]
[3,6,5,1,7,2,4,8]=>[8,4,2,7,1,5,6,3]
[3,6,5,2,1,4,7,8]=>[8,7,4,1,2,5,6,3]
[5,4,3,6,1,7,2,8]=>[8,2,7,1,6,3,4,5]
[4,5,2,7,6,1,3,8]=>[8,3,1,6,7,2,5,4]
[4,6,5,3,1,2,7,8]=>[8,7,2,1,3,5,6,4]
[5,4,1,6,3,7,2,8]=>[8,2,7,3,6,1,4,5]
[5,4,2,6,3,7,8,1]=>[1,8,7,3,6,2,4,5]
[3,6,5,7,1,4,2,8]=>[8,2,4,1,7,5,6,3]
[3,6,5,1,4,7,2,8]=>[8,2,7,4,1,5,6,3]
[4,3,6,5,7,1,2,8]=>[8,2,1,7,5,6,3,4]
[4,2,6,5,1,3,7,8]=>[8,7,3,1,5,6,2,4]
[4,1,6,5,3,7,8,2]=>[2,8,7,3,5,6,1,4]
[4,2,5,7,6,1,3,8]=>[8,3,1,6,7,5,2,4]
[3,4,7,6,1,2,5,8]=>[8,5,2,1,6,7,4,3]
[4,2,5,7,6,3,8,1]=>[1,8,3,6,7,5,2,4]
[4,1,6,5,2,7,3,8]=>[8,3,7,2,5,6,1,4]
[3,6,5,7,2,1,4,8]=>[8,4,1,2,7,5,6,3]
[3,5,7,6,2,4,1,8]=>[8,1,4,2,6,7,5,3]
[5,4,2,6,3,7,1,8]=>[8,1,7,3,6,2,4,5]
[4,6,5,2,7,3,1,8]=>[8,1,3,7,2,5,6,4]
[4,6,5,2,1,7,3,8]=>[8,3,7,1,2,5,6,4]
[3,5,8,2,1,4,6,7]=>[7,6,4,1,2,8,5,3]
[3,5,8,2,4,6,7,1]=>[1,7,6,4,2,8,5,3]
[5,3,8,2,1,4,6,7]=>[7,6,4,1,2,8,3,5]
[5,3,1,8,2,4,6,7]=>[7,6,4,2,8,1,3,5]
[5,1,3,8,2,4,6,7]=>[7,6,4,2,8,3,1,5]
[1,5,8,4,2,3,6,7]=>[7,6,3,2,4,8,5,1]
[5,8,2,1,4,3,6,7]=>[7,6,3,4,1,2,8,5]
[5,8,2,4,1,6,7,3]=>[3,7,6,1,4,2,8,5]
[5,8,2,4,6,3,1,7]=>[7,1,3,6,4,2,8,5]
[5,8,2,4,3,6,1,7]=>[7,1,6,3,4,2,8,5]
[5,8,1,4,6,2,3,7]=>[7,3,2,6,4,1,8,5]
[1,5,8,4,6,7,2,3]=>[3,2,7,6,4,8,5,1]
[5,1,8,4,6,7,2,3]=>[3,2,7,6,4,8,1,5]
[5,8,2,4,6,3,7,1]=>[1,7,3,6,4,2,8,5]
[3,8,4,6,7,2,1,5]=>[5,1,2,7,6,4,8,3]
[3,8,4,6,7,2,5,1]=>[1,5,2,7,6,4,8,3]
[8,4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4,8]
[8,4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4,8]
[8,6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6,8]
[1,8,6,4,5,7,2,3]=>[3,2,7,5,4,6,8,1]
[8,6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6,8]
[1,8,6,4,2,3,5,7]=>[7,5,3,2,4,6,8,1]
[3,8,1,6,2,4,5,7]=>[7,5,4,2,6,1,8,3]
[3,8,6,2,1,4,5,7]=>[7,5,4,1,2,6,8,3]
[3,8,6,2,4,1,5,7]=>[7,5,1,4,2,6,8,3]
[3,8,6,2,4,5,7,1]=>[1,7,5,4,2,6,8,3]
[8,3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3,8]
[8,1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1,8]
[8,3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3,8]
[3,8,6,7,2,1,4,5]=>[5,4,1,2,7,6,8,3]
[8,2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2,8]
[1,8,4,6,7,5,2,3]=>[3,2,5,7,6,4,8,1]
[8,4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4,8]
[8,4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4,8]
[8,3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3,8]
[2,7,1,6,3,5,8,4]=>[4,8,5,3,6,1,7,2]
[1,8,4,2,6,3,7,5]=>[5,7,3,6,2,4,8,1]
[8,4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4,8]
[8,2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2,8]
[8,4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4,8]
[8,4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4,8]
[1,6,2,5,8,4,7,3]=>[3,7,4,8,5,2,6,1]
[4,7,2,1,6,8,3,5]=>[5,3,8,6,1,2,7,4]
[1,7,4,2,6,8,3,5]=>[5,3,8,6,2,4,7,1]
[3,1,8,4,6,7,2,5]=>[5,2,7,6,4,8,1,3]
[4,3,1,8,5,6,2,7]=>[7,2,6,5,8,1,3,4]
[3,2,1,7,4,5,8,6]=>[6,8,5,4,7,1,2,3]
[4,2,1,7,5,3,8,6]=>[6,8,3,5,7,1,2,4]
[5,2,1,8,6,3,4,7]=>[7,4,3,6,8,1,2,5]
[3,2,7,6,1,4,8,5]=>[5,8,4,1,6,7,2,3]
[3,2,8,6,1,4,7,5]=>[5,7,4,1,6,8,2,3]
[3,8,7,2,1,5,6,4]=>[4,6,5,1,2,7,8,3]
[2,6,8,5,1,7,4,3]=>[3,4,7,1,5,8,6,2]
[3,2,6,8,1,4,7,5]=>[5,7,4,1,8,6,2,3]
[2,1,5,8,7,3,6,4]=>[4,6,3,7,8,5,1,2]
[4,2,1,6,7,3,8,5]=>[5,8,3,7,6,1,2,4]
[3,2,1,6,7,4,8,5]=>[5,8,4,7,6,1,2,3]
[4,3,1,7,8,5,2,6]=>[6,2,5,8,7,1,3,4]
[3,1,5,2,6,8,7,4]=>[4,7,8,6,2,5,1,3]
[2,6,5,1,7,4,3,8]=>[8,3,4,7,1,5,6,2]
[7,2,3,1,4,8,5,6]=>[6,5,8,4,1,3,2,7]
[5,6,8,2,4,3,7,1]=>[1,7,3,4,2,8,6,5]
[6,8,5,1,4,2,7,3]=>[3,7,2,4,1,5,8,6]
[3,5,8,6,4,1,7,2]=>[2,7,1,4,6,8,5,3]
[5,1,7,6,4,2,3,8]=>[8,3,2,4,6,7,1,5]
[1,4,3,6,8,2,7,5]=>[5,7,2,8,6,3,4,1]
[5,1,8,6,4,2,3,7]=>[7,3,2,4,6,8,1,5]
[2,8,5,3,6,4,7,1]=>[1,7,4,6,3,5,8,2]
[1,2,8,6,4,7,3,5]=>[5,3,7,4,6,8,2,1]
[4,2,3,6,7,1,5,8]=>[8,5,1,7,6,3,2,4]
[5,3,2,7,8,6,4,1]=>[1,4,6,8,7,2,3,5]
[4,2,7,8,3,5,6,1]=>[1,6,5,3,8,7,2,4]
[1,4,8,7,2,5,6,3]=>[3,6,5,2,7,8,4,1]
[2,8,3,7,1,4,6,5]=>[5,6,4,1,7,3,8,2]
[2,8,7,1,5,3,6,4]=>[4,6,3,5,1,7,8,2]
[5,4,7,6,1,2,8,3]=>[3,8,2,1,6,7,4,5]
[3,1,7,4,2,5,6,8]=>[8,6,5,2,4,7,1,3]
[1,7,2,8,3,5,6,4]=>[4,6,5,3,8,2,7,1]
[2,8,7,3,5,4,6,1]=>[1,6,4,5,3,7,8,2]
[2,8,4,5,6,3,1,7]=>[7,1,3,6,5,4,8,2]
[7,3,5,6,4,2,8,1]=>[1,8,2,4,6,5,3,7]
[1,4,6,7,8,5,2,3]=>[3,2,5,8,7,6,4,1]
[3,8,4,2,7,6,5,1]=>[1,5,6,7,2,4,8,3]
[5,1,6,4,3,7,2,8]=>[8,2,7,3,4,6,1,5]
[1,2,8,7,3,6,4,5]=>[5,4,6,3,7,8,2,1]
[7,3,2,6,4,1,8,5]=>[5,8,1,4,6,2,3,7]
[4,8,3,7,1,5,6,2]=>[2,6,5,1,7,3,8,4]
[4,8,3,2,7,5,6,1]=>[1,6,5,7,2,3,8,4]
[2,4,3,7,1,5,6,8]=>[8,6,5,1,7,3,4,2]
[3,2,4,8,7,5,6,1]=>[1,6,5,7,8,4,2,3]
[2,6,8,1,5,3,4,7]=>[7,4,3,5,1,8,6,2]
[3,2,5,6,8,1,4,7]=>[7,4,1,8,6,5,2,3]
[3,8,1,6,4,5,2,7]=>[7,2,5,4,6,1,8,3]
[8,1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1,8]
[7,4,3,6,2,1,8,5]=>[5,8,1,2,6,3,4,7]
[1,2,4,8,6,3,7,5]=>[5,7,3,6,8,4,2,1]
[7,2,1,5,3,4,8,6]=>[6,8,4,3,5,1,2,7]
[5,7,2,3,1,4,8,6]=>[6,8,4,1,3,2,7,5]
[7,1,5,2,4,6,8,3]=>[3,8,6,4,2,5,1,7]
[8,4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4,8]
[1,8,6,4,7,5,3,2]=>[2,3,5,7,4,6,8,1]
[7,4,1,5,8,6,3,2]=>[2,3,6,8,5,1,4,7]
[4,5,8,7,3,1,2,6]=>[6,2,1,3,7,8,5,4]
[1,3,8,7,6,4,2,5]=>[5,2,4,6,7,8,3,1]
[2,8,5,1,7,4,6,3]=>[3,6,4,7,1,5,8,2]
[1,8,6,4,7,5,2,3]=>[3,2,5,7,4,6,8,1]
[2,7,4,6,3,8,5,1]=>[1,5,8,3,6,4,7,2]
[1,2,8,6,4,7,5,3]=>[3,5,7,4,6,8,2,1]
[4,1,8,6,3,7,5,2]=>[2,5,7,3,6,8,1,4]
[7,1,8,4,3,2,5,6]=>[6,5,2,3,4,8,1,7]
[1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]
[3,5,1,7,4,2,6,8]=>[8,6,2,4,7,1,5,3]
[7,4,1,6,3,2,5,8]=>[8,5,2,3,6,1,4,7]
[8,4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4,8]
[1,6,5,4,2,8,3,7]=>[7,3,8,2,4,5,6,1]
[7,5,4,3,8,1,6,2]=>[2,6,1,8,3,4,5,7]
[8,5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5,8]
[5,7,2,8,6,3,1,4]=>[4,1,3,6,8,2,7,5]
[1,7,2,8,6,4,3,5]=>[5,3,4,6,8,2,7,1]
[5,2,1,7,8,3,6,4]=>[4,6,3,8,7,1,2,5]
[8,4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4,8]
[6,5,4,2,7,3,8,1]=>[1,8,3,7,2,4,5,6]
[6,5,4,2,7,1,8,3]=>[3,8,1,7,2,4,5,6]
[5,3,1,6,2,8,7,4]=>[4,7,8,2,6,1,3,5]
[3,5,4,1,7,8,2,6]=>[6,2,8,7,1,4,5,3]
[7,5,4,3,1,6,8,2]=>[2,8,6,1,3,4,5,7]
[6,4,2,1,5,7,3,8]=>[8,3,7,5,1,2,4,6]
[3,1,5,8,7,2,4,6]=>[6,4,2,7,8,5,1,3]
[3,2,5,7,8,4,6,1]=>[1,6,4,8,7,5,2,3]
[5,3,7,4,2,6,8,1]=>[1,8,6,2,4,7,3,5]
[5,3,7,4,2,6,1,8]=>[8,1,6,2,4,7,3,5]
[5,3,8,4,2,1,6,7]=>[7,6,1,2,4,8,3,5]
[5,2,8,4,3,1,6,7]=>[7,6,1,3,4,8,2,5]
[5,1,8,4,3,2,6,7]=>[7,6,2,3,4,8,1,5]
[5,2,7,4,3,6,1,8]=>[8,1,6,3,4,7,2,5]
[5,2,7,4,3,6,8,1]=>[1,8,6,3,4,7,2,5]
[5,3,7,4,1,6,8,2]=>[2,8,6,1,4,7,3,5]
[3,1,5,7,8,4,6,2]=>[2,6,4,8,7,5,1,3]
[3,1,5,7,8,4,2,6]=>[6,2,4,8,7,5,1,3]
[5,2,7,4,1,3,8,6]=>[6,8,3,1,4,7,2,5]
[6,2,3,7,4,8,5,1]=>[1,5,8,4,7,3,2,6]
[6,2,3,7,4,8,1,5]=>[5,1,8,4,7,3,2,6]
[6,2,3,7,4,5,1,8]=>[8,1,5,4,7,3,2,6]
[6,1,3,7,4,5,8,2]=>[2,8,5,4,7,3,1,6]
[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]
[6,1,3,7,4,5,2,8]=>[8,2,5,4,7,3,1,6]
[6,5,8,1,2,4,3,7]=>[7,3,4,2,1,8,5,6]
[3,5,8,7,2,1,4,6]=>[6,4,1,2,7,8,5,3]
[1,8,6,3,5,4,2,7]=>[7,2,4,5,3,6,8,1]
[5,6,8,2,1,4,3,7]=>[7,3,4,1,2,8,6,5]
[2,6,1,8,5,3,4,7]=>[7,4,3,5,8,1,6,2]
[4,7,2,8,5,1,3,6]=>[6,3,1,5,8,2,7,4]
[4,5,7,8,1,6,3,2]=>[2,3,6,1,8,7,5,4]
[2,5,7,8,4,6,3,1]=>[1,3,6,4,8,7,5,2]
[1,8,6,7,5,2,4,3]=>[3,4,2,5,7,6,8,1]
[1,8,2,7,5,3,4,6]=>[6,4,3,5,7,2,8,1]
[2,5,4,1,8,6,7,3]=>[3,7,6,8,1,4,5,2]
[7,4,5,8,2,6,1,3]=>[3,1,6,2,8,5,4,7]
[2,4,1,5,8,6,7,3]=>[3,7,6,8,5,1,4,2]
[5,4,2,1,8,6,7,3]=>[3,7,6,8,1,2,4,5]
[4,7,5,8,1,6,2,3]=>[3,2,6,1,8,5,7,4]
[5,6,8,3,4,2,7,1]=>[1,7,2,4,3,8,6,5]
[4,1,5,3,8,6,7,2]=>[2,7,6,8,3,5,1,4]
[2,3,5,1,8,6,7,4]=>[4,7,6,8,1,5,3,2]
[7,3,4,8,2,6,1,5]=>[5,1,6,2,8,4,3,7]
[7,4,2,8,3,6,1,5]=>[5,1,6,3,8,2,4,7]
[3,5,2,1,8,6,7,4]=>[4,7,6,8,1,2,5,3]
[7,3,5,1,4,8,6,2]=>[2,6,8,4,1,5,3,7]
[7,1,3,2,4,5,6,8]=>[8,6,5,4,2,3,1,7]
[8,5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5,8]
[3,8,7,1,4,2,5,6]=>[6,5,2,4,1,7,8,3]
[5,1,7,8,2,4,3,6]=>[6,3,4,2,8,7,1,5]
[8,5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5,8]
[5,3,2,8,4,1,7,6]=>[6,7,1,4,8,2,3,5]
[5,3,2,1,4,6,8,7]=>[7,8,6,4,1,2,3,5]
[5,3,2,4,8,1,6,7]=>[7,6,1,8,4,2,3,5]
[5,3,2,4,7,1,8,6]=>[6,8,1,7,4,2,3,5]
[8,4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4,8]
[5,3,2,8,4,6,7,1]=>[1,7,6,4,8,2,3,5]
[4,7,8,6,3,2,5,1]=>[1,5,2,3,6,8,7,4]
[8,4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4,8]
[5,3,1,7,2,4,8,6]=>[6,8,4,2,7,1,3,5]
[8,4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4,8]
[5,3,2,8,4,7,1,6]=>[6,1,7,4,8,2,3,5]
[4,8,7,1,5,3,6,2]=>[2,6,3,5,1,7,8,4]
[4,8,1,7,3,5,6,2]=>[2,6,5,3,7,1,8,4]
[5,3,2,4,8,7,1,6]=>[6,1,7,8,4,2,3,5]
[5,3,2,4,6,8,1,7]=>[7,1,8,6,4,2,3,5]
[5,1,2,8,4,7,3,6]=>[6,3,7,4,8,2,1,5]
[5,8,1,7,4,6,3,2]=>[2,3,6,4,7,1,8,5]
[2,7,6,3,1,4,8,5]=>[5,8,4,1,3,6,7,2]
[3,7,4,5,6,8,2,1]=>[1,2,8,6,5,4,7,3]
[8,7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7,8]
[4,6,8,3,7,1,5,2]=>[2,5,1,7,3,8,6,4]
[4,7,3,5,8,1,6,2]=>[2,6,1,8,5,3,7,4]
[8,4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4,8]
[1,7,6,4,2,5,3,8]=>[8,3,5,2,4,6,7,1]
[8,7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7,8]
[8,6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6,8]
[1,2,6,5,7,8,3,4]=>[4,3,8,7,5,6,2,1]
[7,6,4,2,8,3,1,5]=>[5,1,3,8,2,4,6,7]
[8,5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5,8]
[8,5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5,8]
[8,5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5,8]
[8,5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5,8]
[8,5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5,8]
[8,5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5,8]
[8,5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5,8]
[7,5,4,1,3,6,8,2]=>[2,8,6,3,1,4,5,7]
[7,5,4,1,3,6,2,8]=>[8,2,6,3,1,4,5,7]
[1,2,6,4,8,3,5,7]=>[7,5,3,8,4,6,2,1]
[6,5,4,3,1,7,2,8]=>[8,2,7,1,3,4,5,6]
[8,5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5,8]
[3,6,7,2,5,1,8,4]=>[4,8,1,5,2,7,6,3]
[2,6,5,7,1,4,8,3]=>[3,8,4,1,7,5,6,2]
[3,5,1,7,8,4,6,2]=>[2,6,4,8,7,1,5,3]
[1,5,2,4,6,8,7,3]=>[3,7,8,6,4,2,5,1]
[8,1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1,8]
[3,4,1,8,6,7,5,2]=>[2,5,7,6,8,1,4,3]
[4,3,8,5,1,7,6,2]=>[2,6,7,1,5,8,3,4]
[6,1,3,2,8,5,7,4]=>[4,7,5,8,2,3,1,6]
[8,5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5,8]
[6,7,4,2,5,8,3,1]=>[1,3,8,5,2,4,7,6]
[8,5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5,8]
[8,5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5,8]
[8,4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4,8]
[1,3,8,4,7,5,2,6]=>[6,2,5,7,4,8,3,1]
[5,3,7,1,4,6,8,2]=>[2,8,6,4,1,7,3,5]
[5,7,2,6,1,4,8,3]=>[3,8,4,1,6,2,7,5]
[3,8,5,7,6,1,2,4]=>[4,2,1,6,7,5,8,3]
[8,4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4,8]
[3,8,6,4,7,2,1,5]=>[5,1,2,7,4,6,8,3]
[5,2,7,4,6,8,3,1]=>[1,3,8,6,4,7,2,5]
[4,8,6,3,7,2,1,5]=>[5,1,2,7,3,6,8,4]
[2,8,3,1,7,6,4,5]=>[5,4,6,7,1,3,8,2]
[2,5,6,4,8,1,7,3]=>[3,7,1,8,4,6,5,2]
[5,7,2,1,6,8,3,4]=>[4,3,8,6,1,2,7,5]
[4,7,8,5,1,6,2,3]=>[3,2,6,1,5,8,7,4]
[4,5,2,1,6,7,8,3]=>[3,8,7,6,1,2,5,4]
[4,5,6,3,1,7,8,2]=>[2,8,7,1,3,6,5,4]
[3,5,6,7,4,1,8,2]=>[2,8,1,4,7,6,5,3]
[3,5,1,4,2,8,7,6]=>[6,7,8,2,4,1,5,3]
[3,5,1,4,2,6,8,7]=>[7,8,6,2,4,1,5,3]
[3,5,1,4,2,6,7,8]=>[8,7,6,2,4,1,5,3]
[1,3,8,4,6,2,5,7]=>[7,5,2,6,4,8,3,1]
[1,4,7,5,6,2,3,8]=>[8,3,2,6,5,7,4,1]
[1,7,3,6,4,5,2,8]=>[8,2,5,4,6,3,7,1]
[1,8,4,2,3,7,5,6]=>[6,5,7,3,2,4,8,1]
[1,5,2,3,8,6,7,4]=>[4,7,6,8,3,2,5,1]
[1,6,5,3,7,4,2,8]=>[8,2,4,7,3,5,6,1]
[1,5,2,7,6,4,3,8]=>[8,3,4,6,7,2,5,1]
[1,4,8,3,2,7,6,5]=>[5,6,7,2,3,8,4,1]
[1,3,7,6,5,2,4,8]=>[8,4,2,5,6,7,3,1]
[1,5,3,8,4,2,6,7]=>[7,6,2,4,8,3,5,1]
[1,8,2,4,7,5,3,6]=>[6,3,5,7,4,2,8,1]
[1,7,5,2,4,3,6,8]=>[8,6,3,4,2,5,7,1]
[1,8,6,5,2,4,3,7]=>[7,3,4,2,5,6,8,1]
[1,6,5,4,2,7,3,8]=>[8,3,7,2,4,5,6,1]
[1,7,3,2,6,4,5,8]=>[8,5,4,6,2,3,7,1]
[1,2,8,6,7,5,4,3]=>[3,4,5,7,6,8,2,1]
[1,3,8,6,5,4,2,7]=>[7,2,4,5,6,8,3,1]
[1,7,5,4,3,2,6,8]=>[8,6,2,3,4,5,7,1]
[3,8,5,7,4,6,2,1]=>[1,2,6,4,7,5,8,3]
[8,6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6,8]
[3,8,7,4,5,2,6,1]=>[1,6,2,5,4,7,8,3]
[6,5,2,4,1,3,8,7]=>[7,8,3,1,4,2,5,6]
[7,6,3,2,5,1,8,4]=>[4,8,1,5,2,3,6,7]
[4,2,7,8,3,6,1,5]=>[5,1,6,3,8,7,2,4]
[4,6,3,7,5,8,2,1]=>[1,2,8,5,7,3,6,4]
[4,2,5,7,8,6,3,1]=>[1,3,6,8,7,5,2,4]
[8,2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2,8]
[4,2,5,8,7,6,3,1]=>[1,3,6,7,8,5,2,4]
[6,7,2,4,5,1,8,3]=>[3,8,1,5,4,2,7,6]
[5,2,7,8,3,6,1,4]=>[4,1,6,3,8,7,2,5]
[7,2,8,3,1,6,4,5]=>[5,4,6,1,3,8,2,7]
[7,2,3,4,1,8,5,6]=>[6,5,8,1,4,3,2,7]
[7,1,3,8,6,2,5,4]=>[4,5,2,6,8,3,1,7]
[2,4,7,8,1,3,6,5]=>[5,6,3,1,8,7,4,2]
[2,7,3,8,6,1,5,4]=>[4,5,1,6,8,3,7,2]
[8,5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5,8]
[8,2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2,8]
[6,2,1,3,8,5,4,7]=>[7,4,5,8,3,1,2,6]
[8,4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4,8]
[5,2,8,3,1,4,7,6]=>[6,7,4,1,3,8,2,5]
[8,7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7,8]
[8,5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5,8]
[8,3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3,8]
[8,2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2,8]
[8,4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4,8]
[6,2,8,4,1,3,7,5]=>[5,7,3,1,4,8,2,6]
[6,3,5,2,8,7,1,4]=>[4,1,7,8,2,5,3,6]
[3,1,6,2,8,5,4,7]=>[7,4,5,8,2,6,1,3]
[8,1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1,8]
[8,3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3,8]
[8,6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6,8]
[8,7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7,8]
[5,8,3,1,2,7,4,6]=>[6,4,7,2,1,3,8,5]
[3,8,6,2,7,1,5,4]=>[4,5,1,7,2,6,8,3]
[8,4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4,8]
[3,2,8,5,1,4,7,6]=>[6,7,4,1,5,8,2,3]
[3,4,8,2,1,7,6,5]=>[5,6,7,1,2,8,4,3]
[8,3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3,8]
[8,3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3,8]
[3,8,4,2,1,7,6,5]=>[5,6,7,1,2,4,8,3]
[8,4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4,8]
[8,3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3,8]
[8,4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4,8]
[8,4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4,8]
[8,4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4,8]
[8,5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5,8]
[8,4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4,8]
[8,3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3,8]
[8,3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3,8]
[1,4,6,8,2,5,7,3]=>[3,7,5,2,8,6,4,1]
[4,2,6,8,1,5,7,3]=>[3,7,5,1,8,6,2,4]
[3,6,2,4,8,1,7,5]=>[5,7,1,8,4,2,6,3]
[7,3,8,2,4,6,1,5]=>[5,1,6,4,2,8,3,7]
[4,2,5,8,3,6,1,7]=>[7,1,6,3,8,5,2,4]
[5,2,1,6,8,3,7,4]=>[4,7,3,8,6,1,2,5]
[1,5,2,6,8,3,7,4]=>[4,7,3,8,6,2,5,1]
[4,5,3,1,8,2,6,7]=>[7,6,2,8,1,3,5,4]
[3,5,8,1,4,6,2,7]=>[7,2,6,4,1,8,5,3]
[5,1,7,8,3,6,2,4]=>[4,2,6,3,8,7,1,5]
[7,4,8,3,5,2,1,6]=>[6,1,2,5,3,8,4,7]
[1,6,7,3,8,4,2,5]=>[5,2,4,8,3,7,6,1]
[7,8,3,1,4,5,2,6]=>[6,2,5,4,1,3,8,7]
[7,2,8,4,1,3,5,6]=>[6,5,3,1,4,8,2,7]
[6,1,7,3,2,8,4,5]=>[5,4,8,2,3,7,1,6]
[6,2,1,7,3,8,4,5]=>[5,4,8,3,7,1,2,6]
[5,8,2,1,3,4,6,7]=>[7,6,4,3,1,2,8,5]
[7,3,1,8,2,4,6,5]=>[5,6,4,2,8,1,3,7]
[4,2,5,1,8,3,6,7]=>[7,6,3,8,1,5,2,4]
[7,4,2,8,3,1,5,6]=>[6,5,1,3,8,2,4,7]
[7,4,2,8,3,5,1,6]=>[6,1,5,3,8,2,4,7]
[7,3,8,2,1,4,6,5]=>[5,6,4,1,2,8,3,7]
[4,7,8,2,1,5,6,3]=>[3,6,5,1,2,8,7,4]
[6,7,2,8,5,1,4,3]=>[3,4,1,5,8,2,7,6]
[6,7,8,5,2,1,4,3]=>[3,4,1,2,5,8,7,6]
[4,7,8,2,1,5,3,6]=>[6,3,5,1,2,8,7,4]
[4,1,7,8,2,5,3,6]=>[6,3,5,2,8,7,1,4]
[1,6,2,7,8,4,3,5]=>[5,3,4,8,7,2,6,1]
[6,7,1,8,4,3,2,5]=>[5,2,3,4,8,1,7,6]
[8,2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2,8]
[7,3,4,1,8,6,2,5]=>[5,2,6,8,1,4,3,7]
[4,7,6,3,5,8,2,1]=>[1,2,8,5,3,6,7,4]
[3,7,6,5,2,4,8,1]=>[1,8,4,2,5,6,7,3]
[1,4,7,8,6,2,5,3]=>[3,5,2,6,8,7,4,1]
[1,6,7,8,3,2,5,4]=>[4,5,2,3,8,7,6,1]
[1,3,2,7,8,4,6,5]=>[5,6,4,8,7,2,3,1]
[2,7,4,8,5,1,3,6]=>[6,3,1,5,8,4,7,2]
[2,1,5,3,4,8,7,6]=>[6,7,8,4,3,5,1,2]
[6,8,2,3,5,7,4,1]=>[1,4,7,5,3,2,8,6]
[3,5,4,1,2,6,8,7]=>[7,8,6,2,1,4,5,3]
[6,2,4,3,8,7,1,5]=>[5,1,7,8,3,4,2,6]
[5,6,1,3,8,7,2,4]=>[4,2,7,8,3,1,6,5]
[5,7,1,4,6,2,8,3]=>[3,8,2,6,4,1,7,5]
[8,5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5,8]
[5,6,4,2,7,1,3,8]=>[8,3,1,7,2,4,6,5]
[4,5,7,1,6,2,3,8]=>[8,3,2,6,1,7,5,4]
[7,4,5,2,8,6,1,3]=>[3,1,6,8,2,5,4,7]
[6,3,1,4,7,8,2,5]=>[5,2,8,7,4,1,3,6]
[8,2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2,8]
[8,7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7,8]
[4,5,7,1,8,6,2,3]=>[3,2,6,8,1,7,5,4]
[2,5,7,3,8,1,6,4]=>[4,6,1,8,3,7,5,2]
[4,3,8,6,5,2,7,1]=>[1,7,2,5,6,8,3,4]
[2,3,8,6,5,1,7,4]=>[4,7,1,5,6,8,3,2]
[8,4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4,8]
[4,1,8,6,5,7,2,3]=>[3,2,7,5,6,8,1,4]
[8,1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1,8]
[8,7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7,8]
[2,1,3,6,8,4,7,5]=>[5,7,4,8,6,3,1,2]
[7,2,3,6,5,8,1,4]=>[4,1,8,5,6,3,2,7]
[5,2,7,3,1,8,6,4]=>[4,6,8,1,3,7,2,5]
[5,4,7,3,1,2,6,8]=>[8,6,2,1,3,7,4,5]
[3,4,1,6,5,2,7,8]=>[8,7,2,5,6,1,4,3]
[7,6,2,1,5,4,3,8]=>[8,3,4,5,1,2,6,7]
[3,5,2,6,7,4,1,8]=>[8,1,4,7,6,2,5,3]
[4,5,7,2,6,1,3,8]=>[8,3,1,6,2,7,5,4]
[2,7,1,8,5,4,3,6]=>[6,3,4,5,8,1,7,2]
[7,1,2,8,5,4,3,6]=>[6,3,4,5,8,2,1,7]
[8,1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1,8]
[3,1,2,6,5,7,8,4]=>[4,8,7,5,6,2,1,3]
[7,3,2,6,1,4,8,5]=>[5,8,4,1,6,2,3,7]
[7,3,5,6,2,4,8,1]=>[1,8,4,2,6,5,3,7]
[8,3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3,8]
[8,1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1,8]
[3,2,5,6,8,4,1,7]=>[7,1,4,8,6,5,2,3]
[8,2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2,8]
[6,2,1,8,5,4,3,7]=>[7,3,4,5,8,1,2,6]
[7,2,6,8,5,4,3,1]=>[1,3,4,5,8,6,2,7]
[7,6,8,2,5,4,3,1]=>[1,3,4,5,2,8,6,7]
[3,5,8,6,2,4,1,7]=>[7,1,4,2,6,8,5,3]
[8,1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1,8]
[3,7,5,6,2,4,1,8]=>[8,1,4,2,6,5,7,3]
[4,2,5,1,3,6,8,7]=>[7,8,6,3,1,5,2,4]
[3,7,1,5,6,2,4,8]=>[8,4,2,6,5,1,7,3]
[2,7,1,5,6,8,3,4]=>[4,3,8,6,5,1,7,2]
[7,2,5,8,6,3,4,1]=>[1,4,3,6,8,5,2,7]
[5,8,2,6,7,3,4,1]=>[1,4,3,7,6,2,8,5]
[3,2,6,7,4,5,8,1]=>[1,8,5,4,7,6,2,3]
[2,3,6,7,8,4,5,1]=>[1,5,4,8,7,6,3,2]
[7,2,4,3,8,6,5,1]=>[1,5,6,8,3,4,2,7]
[7,3,4,2,8,6,1,5]=>[5,1,6,8,2,4,3,7]
[5,3,4,2,7,1,8,6]=>[6,8,1,7,2,4,3,5]
[2,4,5,3,7,8,1,6]=>[6,1,8,7,3,5,4,2]
[3,6,4,8,1,2,7,5]=>[5,7,2,1,8,4,6,3]
[3,7,1,4,8,2,6,5]=>[5,6,2,8,4,1,7,3]
[7,6,1,2,8,3,4,5]=>[5,4,3,8,2,1,6,7]
[5,6,8,2,1,3,4,7]=>[7,4,3,1,2,8,6,5]
[6,5,2,1,3,8,4,7]=>[7,4,8,3,1,2,5,6]
[2,4,3,5,6,8,1,7]=>[7,1,8,6,5,3,4,2]
[6,3,1,2,7,8,4,5]=>[5,4,8,7,2,1,3,6]
[6,3,1,7,4,8,2,5]=>[5,2,8,4,7,1,3,6]
[7,4,6,2,8,1,3,5]=>[5,3,1,8,2,6,4,7]
[7,4,6,1,3,8,2,5]=>[5,2,8,3,1,6,4,7]
[8,4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4,8]
[7,4,6,1,2,8,5,3]=>[3,5,8,2,1,6,4,7]
[7,4,6,1,8,5,2,3]=>[3,2,5,8,1,6,4,7]
[8,5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5,8]
[8,5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5,8]
[8,5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5,8]
[5,1,3,7,6,2,8,4]=>[4,8,2,6,7,3,1,5]
[6,1,3,5,7,4,8,2]=>[2,8,4,7,5,3,1,6]
[7,1,3,6,5,4,8,2]=>[2,8,4,5,6,3,1,7]
[2,5,6,3,8,4,7,1]=>[1,7,4,8,3,6,5,2]
[4,3,5,1,7,2,6,8]=>[8,6,2,7,1,5,3,4]
[6,4,8,1,5,3,2,7]=>[7,2,3,5,1,8,4,6]
[4,8,3,1,5,2,6,7]=>[7,6,2,5,1,3,8,4]
[3,7,6,2,5,1,4,8]=>[8,4,1,5,2,6,7,3]
[6,5,4,1,2,7,3,8]=>[8,3,7,2,1,4,5,6]
[6,8,4,2,3,1,7,5]=>[5,7,1,3,2,4,8,6]
[1,7,6,2,8,3,5,4]=>[4,5,3,8,2,6,7,1]
[7,2,6,3,1,4,8,5]=>[5,8,4,1,3,6,2,7]
[7,5,1,3,4,8,2,6]=>[6,2,8,4,3,1,5,7]
[7,1,5,6,3,2,8,4]=>[4,8,2,3,6,5,1,7]
[2,4,1,7,6,5,3,8]=>[8,3,5,6,7,1,4,2]
[4,1,3,8,5,2,7,6]=>[6,7,2,5,8,3,1,4]
[1,8,5,4,7,2,3,6]=>[6,3,2,7,4,5,8,1]
[8,2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2,8]
[2,4,3,8,6,5,1,7]=>[7,1,5,6,8,3,4,2]
[3,1,4,5,8,6,2,7]=>[7,2,6,8,5,4,1,3]
[1,8,3,2,5,4,6,7]=>[7,6,4,5,2,3,8,1]
[5,1,7,3,2,8,4,6]=>[6,4,8,2,3,7,1,5]
[5,7,8,1,3,2,4,6]=>[6,4,2,3,1,8,7,5]
[8,2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2,8]
[4,1,6,7,3,5,8,2]=>[2,8,5,3,7,6,1,4]
[8,7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7,8]
[1,7,4,8,3,6,2,5]=>[5,2,6,3,8,4,7,1]
[7,8,6,1,3,5,4,2]=>[2,4,5,3,1,6,8,7]
[1,7,5,8,4,3,2,6]=>[6,2,3,4,8,5,7,1]
[6,3,1,2,7,8,5,4]=>[4,5,8,7,2,1,3,6]
[8,2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2,8]
[6,3,1,2,8,7,5,4]=>[4,5,7,8,2,1,3,6]
[8,4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4,8]
[1,2,5,7,8,3,6,4]=>[4,6,3,8,7,5,2,1]
[7,6,3,4,2,1,8,5]=>[5,8,1,2,4,3,6,7]
[8,4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4,8]
[2,3,5,8,7,1,4,6]=>[6,4,1,7,8,5,3,2]
[3,4,5,8,1,7,2,6]=>[6,2,7,1,8,5,4,3]
[1,8,4,5,3,7,2,6]=>[6,2,7,3,5,4,8,1]
[6,3,4,2,7,8,1,5]=>[5,1,8,7,2,4,3,6]
[6,3,4,2,7,1,5,8]=>[8,5,1,7,2,4,3,6]
[5,6,3,7,8,2,1,4]=>[4,1,2,8,7,3,6,5]
[6,8,3,4,7,2,1,5]=>[5,1,2,7,4,3,8,6]
[8,6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6,8]
[4,3,8,6,7,5,1,2]=>[2,1,5,7,6,8,3,4]
[4,5,6,2,7,8,3,1]=>[1,3,8,7,2,6,5,4]
[4,5,6,2,7,1,8,3]=>[3,8,1,7,2,6,5,4]
[4,5,6,2,1,7,8,3]=>[3,8,7,1,2,6,5,4]
[4,5,6,2,1,7,3,8]=>[8,3,7,1,2,6,5,4]
[5,8,6,2,1,7,3,4]=>[4,3,7,1,2,6,8,5]
[8,6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6,8]
[5,6,3,1,7,2,4,8]=>[8,4,2,7,1,3,6,5]
[8,4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4,8]
[6,8,7,2,3,1,4,5]=>[5,4,1,3,2,7,8,6]
[2,5,6,7,4,1,3,8]=>[8,3,1,4,7,6,5,2]
[5,3,6,7,1,4,8,2]=>[2,8,4,1,7,6,3,5]
[4,5,1,6,7,3,2,8]=>[8,2,3,7,6,1,5,4]
[5,6,1,8,7,4,2,3]=>[3,2,4,7,8,1,6,5]
[6,7,3,1,2,5,4,8]=>[8,4,5,2,1,3,7,6]
[3,7,4,8,1,5,6,2]=>[2,6,5,1,8,4,7,3]
[2,5,1,8,3,7,4,6]=>[6,4,7,3,8,1,5,2]
[2,3,8,6,5,7,1,4]=>[4,1,7,5,6,8,3,2]
[6,3,8,4,1,5,7,2]=>[2,7,5,1,4,8,3,6]
[6,3,4,1,7,5,8,2]=>[2,8,5,7,1,4,3,6]
[6,7,2,5,8,3,1,4]=>[4,1,3,8,5,2,7,6]
[5,7,2,1,3,8,4,6]=>[6,4,8,3,1,2,7,5]
[3,7,5,4,1,6,8,2]=>[2,8,6,1,4,5,7,3]
[3,8,5,4,1,6,7,2]=>[2,7,6,1,4,5,8,3]
[5,2,1,4,6,8,7,3]=>[3,7,8,6,4,1,2,5]
[4,1,7,6,3,2,5,8]=>[8,5,2,3,6,7,1,4]
[4,6,1,3,2,5,8,7]=>[7,8,5,2,3,1,6,4]
[1,8,6,4,7,3,5,2]=>[2,5,3,7,4,6,8,1]
[7,1,5,4,2,6,3,8]=>[8,3,6,2,4,5,1,7]
[5,6,1,8,3,2,4,7]=>[7,4,2,3,8,1,6,5]
[8,5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5,8]
[2,5,3,6,7,1,8,4]=>[4,8,1,7,6,3,5,2]
[2,7,4,5,6,8,1,3]=>[3,1,8,6,5,4,7,2]
[2,3,4,6,8,1,7,5]=>[5,7,1,8,6,4,3,2]
[2,3,5,8,1,6,7,4]=>[4,7,6,1,8,5,3,2]
[2,4,7,5,6,8,1,3]=>[3,1,8,6,5,7,4,2]
[7,3,4,6,2,8,1,5]=>[5,1,8,2,6,4,3,7]
[4,7,6,5,2,8,3,1]=>[1,3,8,2,5,6,7,4]
[2,5,4,8,6,7,3,1]=>[1,3,7,6,8,4,5,2]
[7,5,4,1,6,8,2,3]=>[3,2,8,6,1,4,5,7]
[8,5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5,8]
[6,5,4,8,2,1,3,7]=>[7,3,1,2,8,4,5,6]
[4,3,6,2,1,5,8,7]=>[7,8,5,1,2,6,3,4]
[5,4,7,3,2,1,8,6]=>[6,8,1,2,3,7,4,5]
[2,7,3,6,4,1,8,5]=>[5,8,1,4,6,3,7,2]
[2,6,7,5,3,1,8,4]=>[4,8,1,3,5,7,6,2]
[8,7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7,8]
[5,8,4,1,7,3,6,2]=>[2,6,3,7,1,4,8,5]
[5,1,4,6,8,7,3,2]=>[2,3,7,8,6,4,1,5]
[7,2,1,8,5,6,4,3]=>[3,4,6,5,8,1,2,7]
[3,6,5,1,4,8,2,7]=>[7,2,8,4,1,5,6,3]
[6,2,1,5,4,8,3,7]=>[7,3,8,4,5,1,2,6]
[6,3,5,4,8,1,2,7]=>[7,2,1,8,4,5,3,6]
[4,6,5,2,3,8,1,7]=>[7,1,8,3,2,5,6,4]
[1,5,4,6,2,3,8,7]=>[7,8,3,2,6,4,5,1]
[8,5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5,8]
[8,2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2,8]
[3,2,8,5,1,7,6,4]=>[4,6,7,1,5,8,2,3]
[1,7,8,4,6,3,5,2]=>[2,5,3,6,4,8,7,1]
[2,5,1,4,6,3,8,7]=>[7,8,3,6,4,1,5,2]
[3,1,5,6,4,2,8,7]=>[7,8,2,4,6,5,1,3]
[8,5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5,8]
[8,3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3,8]
[2,1,4,7,3,6,8,5]=>[5,8,6,3,7,4,1,2]
[5,3,7,6,4,8,2,1]=>[1,2,8,4,6,7,3,5]
[3,7,6,4,2,8,1,5]=>[5,1,8,2,4,6,7,3]
[8,6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6,8]
[8,4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4,8]
[2,1,5,3,7,8,6,4]=>[4,6,8,7,3,5,1,2]
[5,1,4,7,6,8,2,3]=>[3,2,8,6,7,4,1,5]
[8,4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4,8]
[8,3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3,8]
[8,1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1,8]
[3,7,6,8,1,4,5,2]=>[2,5,4,1,8,6,7,3]
[3,7,5,8,4,1,6,2]=>[2,6,1,4,8,5,7,3]
[1,6,5,3,8,7,2,4]=>[4,2,7,8,3,5,6,1]
[3,6,5,4,8,7,1,2]=>[2,1,7,8,4,5,6,3]
[3,6,5,4,1,7,8,2]=>[2,8,7,1,4,5,6,3]
[3,6,5,4,7,8,1,2]=>[2,1,8,7,4,5,6,3]
[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]
[8,6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6,8]
[8,6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6,8]
[8,6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6,8]
[7,8,1,4,3,2,6,5]=>[5,6,2,3,4,1,8,7]
[5,8,1,4,3,2,6,7]=>[7,6,2,3,4,1,8,5]
[4,6,5,3,8,1,2,7]=>[7,2,1,8,3,5,6,4]
[5,6,4,3,8,2,7,1]=>[1,7,2,8,3,4,6,5]
[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]
[5,8,1,6,7,3,2,4]=>[4,2,3,7,6,1,8,5]
[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]
[6,7,4,1,3,2,5,8]=>[8,5,2,3,1,4,7,6]
[7,8,1,4,3,2,5,6]=>[6,5,2,3,4,1,8,7]
[8,7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7,8]
[7,1,8,4,5,3,6,2]=>[2,6,3,5,4,8,1,7]
[4,3,1,8,6,5,7,2]=>[2,7,5,6,8,1,3,4]
[4,3,2,7,5,1,8,6]=>[6,8,1,5,7,2,3,4]
[5,2,3,7,4,1,8,6]=>[6,8,1,4,7,3,2,5]
[2,1,7,4,3,6,8,5]=>[5,8,6,3,4,7,1,2]
[7,1,2,4,5,6,8,3]=>[3,8,6,5,4,2,1,7]
[2,8,7,1,4,5,6,3]=>[3,6,5,4,1,7,8,2]
[8,7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7,8]
[5,8,3,1,4,6,7,2]=>[2,7,6,4,1,3,8,5]
[1,7,2,5,4,6,8,3]=>[3,8,6,4,5,2,7,1]
[2,5,3,8,1,6,7,4]=>[4,7,6,1,8,3,5,2]
[1,6,4,2,5,7,8,3]=>[3,8,7,5,2,4,6,1]
[6,5,3,4,1,7,8,2]=>[2,8,7,1,4,3,5,6]
[5,6,3,4,1,7,8,2]=>[2,8,7,1,4,3,6,5]
[2,5,3,1,4,7,8,6]=>[6,8,7,4,1,3,5,2]
[6,8,2,3,1,5,7,4]=>[4,7,5,1,3,2,8,6]
[4,3,1,5,2,7,8,6]=>[6,8,7,2,5,1,3,4]
[5,2,3,1,4,7,8,6]=>[6,8,7,4,1,3,2,5]
[7,2,1,3,5,6,8,4]=>[4,8,6,5,3,1,2,7]
[7,3,6,4,5,8,1,2]=>[2,1,8,5,4,6,3,7]
[6,4,3,7,5,8,2,1]=>[1,2,8,5,7,3,4,6]
[5,2,4,7,8,6,3,1]=>[1,3,6,8,7,4,2,5]
[5,4,8,7,2,3,1,6]=>[6,1,3,2,7,8,4,5]
[8,1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1,8]
[8,3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3,8]
[5,8,2,1,7,4,3,6]=>[6,3,4,7,1,2,8,5]
[6,5,7,2,1,8,4,3]=>[3,4,8,1,2,7,5,6]
[1,5,4,7,3,8,6,2]=>[2,6,8,3,7,4,5,1]
[7,4,1,3,8,5,6,2]=>[2,6,5,8,3,1,4,7]
[3,6,8,4,1,7,2,5]=>[5,2,7,1,4,8,6,3]
[2,1,8,4,7,6,3,5]=>[5,3,6,7,4,8,1,2]
[2,7,5,6,8,4,3,1]=>[1,3,4,8,6,5,7,2]
[3,5,2,4,7,8,6,1]=>[1,6,8,7,4,2,5,3]
[7,5,6,3,8,2,1,4]=>[4,1,2,8,3,6,5,7]
[1,6,2,7,4,5,8,3]=>[3,8,5,4,7,2,6,1]
[7,4,2,6,1,5,8,3]=>[3,8,5,1,6,2,4,7]
[8,4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4,8]
[7,3,4,5,1,6,8,2]=>[2,8,6,1,5,4,3,7]
[6,2,3,7,5,4,8,1]=>[1,8,4,5,7,3,2,6]
[7,6,2,4,3,5,8,1]=>[1,8,5,3,4,2,6,7]
[6,3,1,7,5,8,4,2]=>[2,4,8,5,7,1,3,6]
[3,5,8,7,1,6,4,2]=>[2,4,6,1,7,8,5,3]
[8,4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4,8]
[8,4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4,8]
[8,7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7,8]
[7,8,4,6,1,2,5,3]=>[3,5,2,1,6,4,8,7]
[4,1,6,7,5,8,3,2]=>[2,3,8,5,7,6,1,4]
[5,7,2,8,1,6,4,3]=>[3,4,6,1,8,2,7,5]
[8,4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4,8]
[8,4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4,8]
[3,8,7,4,6,1,5,2]=>[2,5,1,6,4,7,8,3]
[8,7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7,8]
[5,7,8,1,6,2,4,3]=>[3,4,2,6,1,8,7,5]
[8,7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7,8]
[6,8,4,7,5,2,1,3]=>[3,1,2,5,7,4,8,6]
[6,8,2,7,1,5,4,3]=>[3,4,5,1,7,2,8,6]
[6,8,7,4,2,5,1,3]=>[3,1,5,2,4,7,8,6]
[6,8,4,5,2,1,3,7]=>[7,3,1,2,5,4,8,6]
[6,8,4,5,7,2,1,3]=>[3,1,2,7,5,4,8,6]
[6,8,4,2,5,7,1,3]=>[3,1,7,5,2,4,8,6]
[6,8,4,2,5,1,3,7]=>[7,3,1,5,2,4,8,6]
[8,1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1,8]
[4,8,6,2,3,7,1,5]=>[5,1,7,3,2,6,8,4]
[2,5,3,7,6,4,8,1]=>[1,8,4,6,7,3,5,2]
[3,1,5,7,6,4,2,8]=>[8,2,4,6,7,5,1,3]
[3,1,6,5,4,7,2,8]=>[8,2,7,4,5,6,1,3]
[2,5,6,8,3,4,7,1]=>[1,7,4,3,8,6,5,2]
[4,1,3,6,5,2,7,8]=>[8,7,2,5,6,3,1,4]
[3,6,2,4,5,7,1,8]=>[8,1,7,5,4,2,6,3]
[3,6,2,5,4,7,1,8]=>[8,1,7,4,5,2,6,3]
[3,5,1,7,6,4,2,8]=>[8,2,4,6,7,1,5,3]
[3,6,1,4,5,7,2,8]=>[8,2,7,5,4,1,6,3]
[4,3,1,6,5,2,7,8]=>[8,7,2,5,6,1,3,4]
[4,1,2,6,5,3,7,8]=>[8,7,3,5,6,2,1,4]
[4,6,1,3,5,2,7,8]=>[8,7,2,5,3,1,6,4]
[3,6,4,2,5,7,1,8]=>[8,1,7,5,2,4,6,3]
[4,2,6,3,5,1,7,8]=>[8,7,1,5,3,6,2,4]
[3,4,7,6,5,1,2,8]=>[8,2,1,5,6,7,4,3]
[4,5,2,7,1,3,6,8]=>[8,6,3,1,7,2,5,4]
[4,6,1,2,5,3,7,8]=>[8,7,3,5,2,1,6,4]
[2,5,4,7,3,6,8,1]=>[1,8,6,3,7,4,5,2]
[2,5,4,8,6,1,7,3]=>[3,7,1,6,8,4,5,2]
[2,4,3,7,5,8,6,1]=>[1,6,8,5,7,3,4,2]
[2,6,5,1,4,8,7,3]=>[3,7,8,4,1,5,6,2]
[2,6,5,1,7,3,8,4]=>[4,8,3,7,1,5,6,2]
[5,8,4,7,1,3,6,2]=>[2,6,3,1,7,4,8,5]
[6,4,7,1,3,5,2,8]=>[8,2,5,3,1,7,4,6]
[6,8,1,3,5,7,4,2]=>[2,4,7,5,3,1,8,6]
[5,8,3,2,7,4,6,1]=>[1,6,4,7,2,3,8,5]
[6,8,3,1,5,4,7,2]=>[2,7,4,5,1,3,8,6]
[6,8,1,2,5,3,7,4]=>[4,7,3,5,2,1,8,6]
[5,2,8,3,4,6,7,1]=>[1,7,6,4,3,8,2,5]
[5,2,7,1,6,4,8,3]=>[3,8,4,6,1,7,2,5]
[4,5,2,6,1,3,7,8]=>[8,7,3,1,6,2,5,4]
[4,3,5,8,6,1,7,2]=>[2,7,1,6,8,5,3,4]
[5,1,3,6,7,4,2,8]=>[8,2,4,7,6,3,1,5]
[4,2,8,3,6,7,5,1]=>[1,5,7,6,3,8,2,4]
[3,1,7,8,5,6,2,4]=>[4,2,6,5,8,7,1,3]
[6,2,1,7,5,3,4,8]=>[8,4,3,5,7,1,2,6]
[3,7,1,8,5,2,4,6]=>[6,4,2,5,8,1,7,3]
[4,2,8,6,7,1,3,5]=>[5,3,1,7,6,8,2,4]
[6,1,2,4,7,3,5,8]=>[8,5,3,7,4,2,1,6]
[5,3,1,6,4,7,2,8]=>[8,2,7,4,6,1,3,5]
[1,2,4,5,8,7,3,6]=>[6,3,7,8,5,4,2,1]
[1,3,4,7,5,8,6,2]=>[2,6,8,5,7,4,3,1]
[1,5,2,3,7,8,6,4]=>[4,6,8,7,3,2,5,1]
[4,2,8,1,6,5,7,3]=>[3,7,5,6,1,8,2,4]
[5,6,1,4,8,3,2,7]=>[7,2,3,8,4,1,6,5]
[3,6,4,1,7,2,8,5]=>[5,8,2,7,1,4,6,3]
[5,2,6,3,7,8,4,1]=>[1,4,8,7,3,6,2,5]
[2,4,1,3,7,8,6,5]=>[5,6,8,7,3,1,4,2]
[2,6,1,5,7,8,4,3]=>[3,4,8,7,5,1,6,2]
[5,1,6,4,7,8,2,3]=>[3,2,8,7,4,6,1,5]
[8,4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4,8]
[4,7,6,8,2,3,5,1]=>[1,5,3,2,8,6,7,4]
[5,7,4,8,1,2,6,3]=>[3,6,2,1,8,4,7,5]
[3,6,7,5,8,1,4,2]=>[2,4,1,8,5,7,6,3]
[3,7,5,6,8,2,4,1]=>[1,4,2,8,6,5,7,3]
[2,7,1,6,8,4,5,3]=>[3,5,4,8,6,1,7,2]
[1,5,4,7,2,6,3,8]=>[8,3,6,2,7,4,5,1]
[2,4,5,8,3,1,7,6]=>[6,7,1,3,8,5,4,2]
[1,4,7,5,8,3,6,2]=>[2,6,3,8,5,7,4,1]
[2,6,8,7,3,5,1,4]=>[4,1,5,3,7,8,6,2]
[4,7,8,6,2,5,1,3]=>[3,1,5,2,6,8,7,4]
[4,8,7,3,5,6,2,1]=>[1,2,6,5,3,7,8,4]
[1,7,6,3,5,4,2,8]=>[8,2,4,5,3,6,7,1]
[4,3,8,1,6,5,7,2]=>[2,7,5,6,1,8,3,4]
[1,3,6,2,5,8,7,4]=>[4,7,8,5,2,6,3,1]
[5,8,7,1,4,6,3,2]=>[2,3,6,4,1,7,8,5]
[6,2,5,1,3,4,8,7]=>[7,8,4,3,1,5,2,6]
[2,6,5,1,3,4,8,7]=>[7,8,4,3,1,5,6,2]
[4,6,5,1,2,7,3,8]=>[8,3,7,2,1,5,6,4]
[5,6,4,1,2,7,3,8]=>[8,3,7,2,1,4,6,5]
[8,1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1,8]
[6,4,5,1,2,7,3,8]=>[8,3,7,2,1,5,4,6]
[5,4,6,1,3,2,7,8]=>[8,7,2,3,1,6,4,5]
[5,7,1,4,3,2,6,8]=>[8,6,2,3,4,1,7,5]
[2,6,4,1,3,7,5,8]=>[8,5,7,3,1,4,6,2]
[7,5,4,3,8,6,1,2]=>[2,1,6,8,3,4,5,7]
[5,8,2,3,7,1,4,6]=>[6,4,1,7,3,2,8,5]
[7,8,5,3,2,1,6,4]=>[4,6,1,2,3,5,8,7]
[1,5,8,3,4,2,6,7]=>[7,6,2,4,3,8,5,1]
[7,1,6,5,2,4,8,3]=>[3,8,4,2,5,6,1,7]
[5,1,3,8,2,6,7,4]=>[4,7,6,2,8,3,1,5]
[1,2,6,7,8,4,5,3]=>[3,5,4,8,7,6,2,1]
[6,1,4,8,2,7,5,3]=>[3,5,7,2,8,4,1,6]
[7,4,8,1,2,5,3,6]=>[6,3,5,2,1,8,4,7]
[6,2,8,1,5,4,3,7]=>[7,3,4,5,1,8,2,6]
[1,3,5,6,8,2,7,4]=>[4,7,2,8,6,5,3,1]
[7,6,4,1,3,2,5,8]=>[8,5,2,3,1,4,6,7]
[3,4,5,7,1,6,8,2]=>[2,8,6,1,7,5,4,3]
[5,2,3,7,1,8,4,6]=>[6,4,8,1,7,3,2,5]
[3,5,4,8,2,1,6,7]=>[7,6,1,2,8,4,5,3]
[7,2,3,1,8,4,6,5]=>[5,6,4,8,1,3,2,7]
[3,5,4,1,6,8,7,2]=>[2,7,8,6,1,4,5,3]
[1,8,6,7,4,3,2,5]=>[5,2,3,4,7,6,8,1]
[2,5,3,1,4,8,7,6]=>[6,7,8,4,1,3,5,2]
[5,4,1,7,3,2,8,6]=>[6,8,2,3,7,1,4,5]
[7,3,4,5,1,8,6,2]=>[2,6,8,1,5,4,3,7]
[1,5,6,7,4,8,2,3]=>[3,2,8,4,7,6,5,1]
[5,7,1,8,4,6,3,2]=>[2,3,6,4,8,1,7,5]
[7,8,1,5,4,3,2,6]=>[6,2,3,4,5,1,8,7]
[3,1,4,7,2,6,5,8]=>[8,5,6,2,7,4,1,3]
[3,2,7,5,1,6,4,8]=>[8,4,6,1,5,7,2,3]
[6,3,2,5,7,4,8,1]=>[1,8,4,7,5,2,3,6]
[5,7,3,8,1,2,4,6]=>[6,4,2,1,8,3,7,5]
[4,5,2,7,6,3,1,8]=>[8,1,3,6,7,2,5,4]
[4,5,2,1,7,6,3,8]=>[8,3,6,7,1,2,5,4]
[2,7,5,1,3,6,4,8]=>[8,4,6,3,1,5,7,2]
[2,7,5,6,1,4,3,8]=>[8,3,4,1,6,5,7,2]
[7,4,5,3,8,1,2,6]=>[6,2,1,8,3,5,4,7]
[3,6,1,5,7,4,8,2]=>[2,8,4,7,5,1,6,3]
[5,6,7,2,8,3,4,1]=>[1,4,3,8,2,7,6,5]
[2,6,7,8,3,1,4,5]=>[5,4,1,3,8,7,6,2]
[5,6,1,7,8,3,2,4]=>[4,2,3,8,7,1,6,5]
[6,3,2,5,1,7,8,4]=>[4,8,7,1,5,2,3,6]
[4,6,3,7,8,2,1,5]=>[5,1,2,8,7,3,6,4]
[4,6,3,7,8,2,5,1]=>[1,5,2,8,7,3,6,4]
[6,7,3,4,8,2,5,1]=>[1,5,2,8,4,3,7,6]
[6,7,3,4,8,2,1,5]=>[5,1,2,8,4,3,7,6]
[7,3,4,1,5,8,2,6]=>[6,2,8,5,1,4,3,7]
[5,6,7,1,8,4,2,3]=>[3,2,4,8,1,7,6,5]
[1,7,8,4,6,5,2,3]=>[3,2,5,6,4,8,7,1]
[1,7,3,2,8,6,5,4]=>[4,5,6,8,2,3,7,1]
[3,7,1,2,8,6,5,4]=>[4,5,6,8,2,1,7,3]
[2,7,3,1,8,6,5,4]=>[4,5,6,8,1,3,7,2]
[2,7,8,1,6,5,3,4]=>[4,3,5,6,1,8,7,2]
[6,8,1,3,4,7,5,2]=>[2,5,7,4,3,1,8,6]
[6,2,8,7,1,5,3,4]=>[4,3,5,1,7,8,2,6]
[2,5,8,1,7,6,3,4]=>[4,3,6,7,1,8,5,2]
[2,4,8,7,6,3,1,5]=>[5,1,3,6,7,8,4,2]
[5,1,8,7,3,4,6,2]=>[2,6,4,3,7,8,1,5]
[8,1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1,8]
[5,8,2,7,6,3,1,4]=>[4,1,3,6,7,2,8,5]
[2,8,4,7,6,3,1,5]=>[5,1,3,6,7,4,8,2]
[1,8,2,4,7,6,3,5]=>[5,3,6,7,4,2,8,1]
[1,4,8,7,6,3,2,5]=>[5,2,3,6,7,8,4,1]
[1,8,4,7,6,3,2,5]=>[5,2,3,6,7,4,8,1]
[8,3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3,8]
[2,5,1,6,8,7,4,3]=>[3,4,7,8,6,1,5,2]
[4,5,8,7,1,6,2,3]=>[3,2,6,1,7,8,5,4]
[3,2,6,1,8,7,5,4]=>[4,5,7,8,1,6,2,3]
[3,1,4,8,7,5,6,2]=>[2,6,5,7,8,4,1,3]
[1,3,5,8,6,7,4,2]=>[2,4,7,6,8,5,3,1]
[1,8,2,4,6,7,5,3]=>[3,5,7,6,4,2,8,1]
[1,4,7,3,8,5,6,2]=>[2,6,5,8,3,7,4,1]
[1,4,7,8,2,5,6,3]=>[3,6,5,2,8,7,4,1]
[2,3,7,8,1,5,6,4]=>[4,6,5,1,8,7,3,2]
[2,5,1,8,4,7,6,3]=>[3,6,7,4,8,1,5,2]
[2,1,7,4,8,6,5,3]=>[3,5,6,8,4,7,1,2]
[1,7,3,8,4,2,6,5]=>[5,6,2,4,8,3,7,1]
[2,3,7,1,8,6,5,4]=>[4,5,6,8,1,7,3,2]
[3,4,2,8,1,7,6,5]=>[5,6,7,1,8,2,4,3]
[2,4,5,8,1,7,6,3]=>[3,6,7,1,8,5,4,2]
[2,3,8,5,1,7,6,4]=>[4,6,7,1,5,8,3,2]
[1,8,3,5,2,7,6,4]=>[4,6,7,2,5,3,8,1]
[3,1,8,2,6,7,5,4]=>[4,5,7,6,2,8,1,3]
[3,1,7,2,8,6,5,4]=>[4,5,6,8,2,7,1,3]
[2,6,8,1,4,3,7,5]=>[5,7,3,4,1,8,6,2]
[4,1,8,2,6,7,3,5]=>[5,3,7,6,2,8,1,4]
[1,6,5,2,8,7,3,4]=>[4,3,7,8,2,5,6,1]
[2,6,1,5,8,7,3,4]=>[4,3,7,8,5,1,6,2]
[8,1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1,8]
[8,1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1,8]
[8,1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1,8]
[8,1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1,8]
[7,3,4,8,6,2,5,1]=>[1,5,2,6,8,4,3,7]
[7,4,6,8,1,2,5,3]=>[3,5,2,1,8,6,4,7]
[7,5,8,1,6,2,3,4]=>[4,3,2,6,1,8,5,7]
[5,7,1,4,3,2,8,6]=>[6,8,2,3,4,1,7,5]
[6,7,5,3,2,8,1,4]=>[4,1,8,2,3,5,7,6]
[6,8,4,5,3,1,7,2]=>[2,7,1,3,5,4,8,6]
[6,7,4,5,3,1,8,2]=>[2,8,1,3,5,4,7,6]
[7,5,6,1,8,2,3,4]=>[4,3,2,8,1,6,5,7]
[7,4,6,5,1,2,8,3]=>[3,8,2,1,5,6,4,7]
[6,5,4,8,3,1,7,2]=>[2,7,1,3,8,4,5,6]
[6,7,5,3,2,8,4,1]=>[1,4,8,2,3,5,7,6]
[6,2,5,3,8,1,4,7]=>[7,4,1,8,3,5,2,6]
[6,2,5,3,7,1,4,8]=>[8,4,1,7,3,5,2,6]
[7,6,1,3,5,2,4,8]=>[8,4,2,5,3,1,6,7]
[7,6,1,4,5,2,3,8]=>[8,3,2,5,4,1,6,7]
[7,6,8,1,4,2,5,3]=>[3,5,2,4,1,8,6,7]
[6,3,5,1,8,7,4,2]=>[2,4,7,8,1,5,3,6]
[6,8,5,3,2,7,4,1]=>[1,4,7,2,3,5,8,6]
[6,3,4,7,2,8,1,5]=>[5,1,8,2,7,4,3,6]
[6,3,4,8,2,7,1,5]=>[5,1,7,2,8,4,3,6]
[6,1,5,4,8,2,3,7]=>[7,3,2,8,4,5,1,6]
[6,2,4,5,3,8,1,7]=>[7,1,8,3,5,4,2,6]
[5,2,7,4,3,1,8,6]=>[6,8,1,3,4,7,2,5]
[5,8,6,4,3,2,7,1]=>[1,7,2,3,4,6,8,5]
[6,1,5,4,7,2,3,8]=>[8,3,2,7,4,5,1,6]
[6,8,5,4,7,1,3,2]=>[2,3,1,7,4,5,8,6]
[5,8,7,4,3,2,6,1]=>[1,6,2,3,4,7,8,5]
[8,1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1,8]
[6,1,5,4,7,8,3,2]=>[2,3,8,7,4,5,1,6]
[8,2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2,8]
[8,1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1,8]
[3,8,5,4,2,7,6,1]=>[1,6,7,2,4,5,8,3]
[3,6,1,4,7,5,8,2]=>[2,8,5,7,4,1,6,3]
[3,6,8,4,7,5,2,1]=>[1,2,5,7,4,8,6,3]
[5,6,1,4,8,7,2,3]=>[3,2,7,8,4,1,6,5]
[5,6,2,4,8,1,7,3]=>[3,7,1,8,4,2,6,5]
[7,6,5,3,1,4,8,2]=>[2,8,4,1,3,5,6,7]
[1,6,2,4,5,8,7,3]=>[3,7,8,5,4,2,6,1]
[7,1,2,5,3,8,6,4]=>[4,6,8,3,5,2,1,7]
[1,6,8,4,2,5,7,3]=>[3,7,5,2,4,8,6,1]
[2,8,1,6,3,7,5,4]=>[4,5,7,3,6,1,8,2]
[3,6,8,4,1,5,7,2]=>[2,7,5,1,4,8,6,3]
[2,6,1,4,5,7,8,3]=>[3,8,7,5,4,1,6,2]
[1,8,2,6,3,5,7,4]=>[4,7,5,3,6,2,8,1]
[7,5,8,1,3,4,2,6]=>[6,2,4,3,1,8,5,7]
[1,4,2,8,3,5,7,6]=>[6,7,5,3,8,2,4,1]
[7,5,2,1,3,6,8,4]=>[4,8,6,3,1,2,5,7]
[5,6,1,4,8,3,7,2]=>[2,7,3,8,4,1,6,5]
[1,3,5,4,8,7,2,6]=>[6,2,7,8,4,5,3,1]
[1,6,3,4,8,5,7,2]=>[2,7,5,8,4,3,6,1]
[7,6,5,2,1,3,8,4]=>[4,8,3,1,2,5,6,7]
[1,6,2,4,8,3,7,5]=>[5,7,3,8,4,2,6,1]
[7,1,2,8,3,4,6,5]=>[5,6,4,3,8,2,1,7]
[7,6,3,8,4,1,2,5]=>[5,2,1,4,8,3,6,7]
[7,1,3,2,6,5,4,8]=>[8,4,5,6,2,3,1,7]
[1,3,6,2,7,5,8,4]=>[4,8,5,7,2,6,3,1]
[1,4,2,7,6,5,3,8]=>[8,3,5,6,7,2,4,1]
[1,5,4,2,7,6,3,8]=>[8,3,6,7,2,4,5,1]
[1,6,2,7,5,4,8,3]=>[3,8,4,5,7,2,6,1]
[1,7,8,5,4,2,6,3]=>[3,6,2,4,5,8,7,1]
[1,5,2,8,6,4,7,3]=>[3,7,4,6,8,2,5,1]
[1,8,4,2,6,5,7,3]=>[3,7,5,6,2,4,8,1]
[1,6,5,2,7,4,8,3]=>[3,8,4,7,2,5,6,1]
[1,7,5,6,4,2,8,3]=>[3,8,2,4,6,5,7,1]
[1,8,5,6,4,2,7,3]=>[3,7,2,4,6,5,8,1]
[5,1,6,7,4,2,8,3]=>[3,8,2,4,7,6,1,5]
[6,7,1,8,4,2,5,3]=>[3,5,2,4,8,1,7,6]
[4,1,7,8,5,2,6,3]=>[3,6,2,5,8,7,1,4]
[7,1,8,6,4,2,5,3]=>[3,5,2,4,6,8,1,7]
[4,1,6,8,5,2,7,3]=>[3,7,2,5,8,6,1,4]
[6,8,1,5,2,3,7,4]=>[4,7,3,2,5,1,8,6]
[1,5,4,2,8,6,7,3]=>[3,7,6,8,2,4,5,1]
[1,3,5,2,8,6,7,4]=>[4,7,6,8,2,5,3,1]
[1,3,8,5,6,2,7,4]=>[4,7,2,6,5,8,3,1]
[1,5,3,6,7,2,8,4]=>[4,8,2,7,6,3,5,1]
[1,8,5,4,6,2,7,3]=>[3,7,2,6,4,5,8,1]
[1,7,5,4,6,2,8,3]=>[3,8,2,6,4,5,7,1]
[5,8,4,1,6,2,7,3]=>[3,7,2,6,1,4,8,5]
[6,4,5,1,7,2,8,3]=>[3,8,2,7,1,5,4,6]
[4,8,1,3,7,6,2,5]=>[5,2,6,7,3,1,8,4]
[4,5,3,1,2,8,7,6]=>[6,7,8,2,1,3,5,4]
[6,4,2,3,1,8,7,5]=>[5,7,8,1,3,2,4,6]
[6,5,2,1,3,8,7,4]=>[4,7,8,3,1,2,5,6]
[7,6,1,8,2,5,3,4]=>[4,3,5,2,8,1,6,7]
[8,4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4,8]
[5,7,8,1,2,4,3,6]=>[6,3,4,2,1,8,7,5]
[1,7,6,8,3,5,4,2]=>[2,4,5,3,8,6,7,1]
[5,7,6,4,2,1,3,8]=>[8,3,1,2,4,6,7,5]
[6,5,7,4,1,3,2,8]=>[8,2,3,1,4,7,5,6]
[4,6,1,8,3,5,2,7]=>[7,2,5,3,8,1,6,4]
[7,1,6,8,2,5,4,3]=>[3,4,5,2,8,6,1,7]
[4,7,1,8,3,2,5,6]=>[6,5,2,3,8,1,7,4]
[4,8,3,6,1,5,2,7]=>[7,2,5,1,6,3,8,4]
[1,7,8,6,4,5,3,2]=>[2,3,5,4,6,8,7,1]
[3,2,8,6,4,5,1,7]=>[7,1,5,4,6,8,2,3]
[8,4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4,8]
[1,6,8,7,4,3,5,2]=>[2,5,3,4,7,8,6,1]
[7,3,4,2,8,1,5,6]=>[6,5,1,8,2,4,3,7]
[7,1,4,3,5,8,2,6]=>[6,2,8,5,3,4,1,7]
[8,4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4,8]
[3,1,2,6,8,7,5,4]=>[4,5,7,8,6,2,1,3]
[8,5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5,8]
[5,7,4,2,1,8,6,3]=>[3,6,8,1,2,4,7,5]
[8,6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6,8]
[7,4,6,1,8,5,3,2]=>[2,3,5,8,1,6,4,7]
[7,4,6,3,8,1,5,2]=>[2,5,1,8,3,6,4,7]
[7,4,8,1,6,3,2,5]=>[5,2,3,6,1,8,4,7]
[7,4,8,3,6,2,1,5]=>[5,1,2,6,3,8,4,7]
[6,4,8,2,3,5,7,1]=>[1,7,5,3,2,8,4,6]
[6,2,4,1,5,8,3,7]=>[7,3,8,5,1,4,2,6]
[6,2,4,8,1,5,7,3]=>[3,7,5,1,8,4,2,6]
[6,8,2,4,1,5,3,7]=>[7,3,5,1,4,2,8,6]
[4,6,8,2,5,7,1,3]=>[3,1,7,5,2,8,6,4]
[6,4,8,2,5,7,1,3]=>[3,1,7,5,2,8,4,6]
[6,2,4,5,8,3,7,1]=>[1,7,3,8,5,4,2,6]
[6,8,2,4,7,3,5,1]=>[1,5,3,7,4,2,8,6]
[6,8,4,2,3,5,1,7]=>[7,1,5,3,2,4,8,6]
[6,8,4,2,3,5,7,1]=>[1,7,5,3,2,4,8,6]
[4,6,8,2,3,1,5,7]=>[7,5,1,3,2,8,6,4]
[4,6,8,2,5,1,7,3]=>[3,7,1,5,2,8,6,4]
[4,6,8,2,5,7,3,1]=>[1,3,7,5,2,8,6,4]
[6,8,4,2,3,7,1,5]=>[5,1,7,3,2,4,8,6]
[6,4,8,2,3,7,1,5]=>[5,1,7,3,2,8,4,6]
[8,4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4,8]
[6,8,4,2,7,1,3,5]=>[5,3,1,7,2,4,8,6]
[4,8,2,6,7,5,1,3]=>[3,1,5,7,6,2,8,4]
[8,2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2,8]
[8,2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2,8]
[8,2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2,8]
[6,8,2,4,1,7,3,5]=>[5,3,7,1,4,2,8,6]
[8,6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6,8]
[3,7,2,6,1,5,8,4]=>[4,8,5,1,6,2,7,3]
[7,5,1,6,2,4,8,3]=>[3,8,4,2,6,1,5,7]
[4,2,5,7,1,6,8,3]=>[3,8,6,1,7,5,2,4]
[3,6,5,7,2,8,1,4]=>[4,1,8,2,7,5,6,3]
[4,7,5,8,1,3,6,2]=>[2,6,3,1,8,5,7,4]
[7,6,2,1,8,4,5,3]=>[3,5,4,8,1,2,6,7]
[3,1,5,6,4,8,2,7]=>[7,2,8,4,6,5,1,3]
[2,7,6,8,4,5,3,1]=>[1,3,5,4,8,6,7,2]
[2,4,8,6,5,3,7,1]=>[1,7,3,5,6,8,4,2]
[5,4,8,2,6,7,1,3]=>[3,1,7,6,2,8,4,5]
[2,4,8,5,6,7,3,1]=>[1,3,7,6,5,8,4,2]
[2,7,4,8,6,3,5,1]=>[1,5,3,6,8,4,7,2]
[4,5,2,3,8,7,1,6]=>[6,1,7,8,3,2,5,4]
[8,5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5,8]
[3,1,5,4,6,7,2,8]=>[8,2,7,6,4,5,1,3]
[2,5,4,7,6,1,3,8]=>[8,3,1,6,7,4,5,2]
[5,2,3,7,6,1,4,8]=>[8,4,1,6,7,3,2,5]
[4,2,3,7,6,1,5,8]=>[8,5,1,6,7,3,2,4]
[4,2,7,3,5,1,6,8]=>[8,6,1,5,3,7,2,4]
[5,6,2,3,8,4,7,1]=>[1,7,4,8,3,2,6,5]
[5,6,2,3,1,7,8,4]=>[4,8,7,1,3,2,6,5]
[5,7,2,3,4,1,6,8]=>[8,6,1,4,3,2,7,5]
[6,2,7,3,5,1,4,8]=>[8,4,1,5,3,7,2,6]
[7,2,6,3,5,1,4,8]=>[8,4,1,5,3,6,2,7]
[6,5,2,3,1,7,8,4]=>[4,8,7,1,3,2,5,6]
[6,5,2,3,8,4,7,1]=>[1,7,4,8,3,2,5,6]
[7,5,2,1,4,6,8,3]=>[3,8,6,4,1,2,5,7]
[8,5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5,8]
[8,6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6,8]
[8,2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2,8]
[1,6,3,4,2,7,5,8]=>[8,5,7,2,4,3,6,1]
[8,5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5,8]
[1,7,2,4,5,6,8,3]=>[3,8,6,5,4,2,7,1]
[1,8,3,2,5,6,4,7]=>[7,4,6,5,2,3,8,1]
[7,2,8,1,4,6,3,5]=>[5,3,6,4,1,8,2,7]
[2,7,8,1,5,6,3,4]=>[4,3,6,5,1,8,7,2]
[6,8,2,3,1,5,4,7]=>[7,4,5,1,3,2,8,6]
[5,8,2,3,1,6,4,7]=>[7,4,6,1,3,2,8,5]
[5,7,2,1,4,6,8,3]=>[3,8,6,4,1,2,7,5]
[4,2,7,1,5,6,8,3]=>[3,8,6,5,1,7,2,4]
[4,2,3,8,1,7,5,6]=>[6,5,7,1,8,3,2,4]
[4,2,1,5,3,7,6,8]=>[8,6,7,3,5,1,2,4]
[5,1,3,8,4,6,7,2]=>[2,7,6,4,8,3,1,5]
[5,1,3,2,6,7,8,4]=>[4,8,7,6,2,3,1,5]
[5,1,3,4,2,7,6,8]=>[8,6,7,2,4,3,1,5]
[6,1,3,4,2,7,5,8]=>[8,5,7,2,4,3,1,6]
[7,2,1,3,5,8,4,6]=>[6,4,8,5,3,1,2,7]
[6,8,7,2,3,4,5,1]=>[1,5,4,3,2,7,8,6]
[3,7,2,8,1,4,5,6]=>[6,5,4,1,8,2,7,3]
[5,2,3,7,4,6,1,8]=>[8,1,6,4,7,3,2,5]
[2,6,7,3,4,5,1,8]=>[8,1,5,4,3,7,6,2]
[6,2,7,3,4,5,1,8]=>[8,1,5,4,3,7,2,6]
[3,8,4,5,2,1,6,7]=>[7,6,1,2,5,4,8,3]
[2,7,6,3,4,5,1,8]=>[8,1,5,4,3,6,7,2]
[2,8,7,5,1,3,4,6]=>[6,4,3,1,5,7,8,2]
[4,5,7,2,8,3,6,1]=>[1,6,3,8,2,7,5,4]
[2,5,7,6,1,3,8,4]=>[4,8,3,1,6,7,5,2]
[7,5,2,6,1,8,3,4]=>[4,3,8,1,6,2,5,7]
[6,2,5,3,7,8,4,1]=>[1,4,8,7,3,5,2,6]
[7,5,3,4,2,1,8,6]=>[6,8,1,2,4,3,5,7]
[6,2,4,3,1,7,8,5]=>[5,8,7,1,3,4,2,6]
[5,2,1,3,6,7,8,4]=>[4,8,7,6,3,1,2,5]
[1,6,5,7,2,8,3,4]=>[4,3,8,2,7,5,6,1]
[6,2,5,3,7,8,1,4]=>[4,1,8,7,3,5,2,6]
[7,5,2,6,1,8,4,3]=>[3,4,8,1,6,2,5,7]
[6,1,5,2,7,8,4,3]=>[3,4,8,7,2,5,1,6]
[1,6,5,7,2,8,4,3]=>[3,4,8,2,7,5,6,1]
[7,5,6,8,1,2,4,3]=>[3,4,2,1,8,6,5,7]
[7,5,6,2,8,1,4,3]=>[3,4,1,8,2,6,5,7]
[5,2,1,4,8,7,6,3]=>[3,6,7,8,4,1,2,5]
[6,2,3,5,8,7,1,4]=>[4,1,7,8,5,3,2,6]
[1,5,4,6,2,8,7,3]=>[3,7,8,2,6,4,5,1]
[7,5,1,3,6,8,4,2]=>[2,4,8,6,3,1,5,7]
[1,5,4,6,2,8,3,7]=>[7,3,8,2,6,4,5,1]
[1,5,6,4,8,2,3,7]=>[7,3,2,8,4,6,5,1]
[7,5,6,8,2,4,3,1]=>[1,3,4,2,8,6,5,7]
[7,5,6,2,8,4,1,3]=>[3,1,4,8,2,6,5,7]
[6,2,1,5,8,4,7,3]=>[3,7,4,8,5,1,2,6]
[7,5,6,8,4,1,3,2]=>[2,3,1,4,8,6,5,7]
[8,3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3,8]
[5,4,1,8,6,2,3,7]=>[7,3,2,6,8,1,4,5]
[5,4,1,7,6,2,3,8]=>[8,3,2,6,7,1,4,5]
[8,1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1,8]
[8,3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3,8]
[8,5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5,8]
[8,5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5,8]
[8,4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4,8]
[8,5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5,8]
[8,1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1,8]
[7,6,2,3,5,8,1,4]=>[4,1,8,5,3,2,6,7]
[4,5,3,7,8,1,6,2]=>[2,6,1,8,7,3,5,4]
[3,4,2,8,1,6,7,5]=>[5,7,6,1,8,2,4,3]
[8,3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3,8]
[4,3,7,5,1,6,2,8]=>[8,2,6,1,5,7,3,4]
[5,2,6,1,4,3,7,8]=>[8,7,3,4,1,6,2,5]
[3,5,2,8,6,7,4,1]=>[1,4,7,6,8,2,5,3]
[5,3,7,4,2,8,6,1]=>[1,6,8,2,4,7,3,5]
[7,4,8,2,3,5,6,1]=>[1,6,5,3,2,8,4,7]
[5,6,2,8,7,1,4,3]=>[3,4,1,7,8,2,6,5]
[4,6,3,5,2,7,8,1]=>[1,8,7,2,5,3,6,4]
[4,1,6,3,5,7,2,8]=>[8,2,7,5,3,6,1,4]
[3,1,5,7,4,6,8,2]=>[2,8,6,4,7,5,1,3]
[7,2,5,8,6,1,4,3]=>[3,4,1,6,8,5,2,7]
[4,3,6,1,5,7,8,2]=>[2,8,7,5,1,6,3,4]
[3,5,4,1,2,6,7,8]=>[8,7,6,2,1,4,5,3]
[5,3,1,4,6,7,8,2]=>[2,8,7,6,4,1,3,5]
[4,6,7,1,3,5,8,2]=>[2,8,5,3,1,7,6,4]
[5,6,1,3,4,7,2,8]=>[8,2,7,4,3,1,6,5]
[2,5,3,7,8,4,6,1]=>[1,6,4,8,7,3,5,2]
[4,6,2,1,3,7,8,5]=>[5,8,7,3,1,2,6,4]
[3,6,2,4,1,7,5,8]=>[8,5,7,1,4,2,6,3]
[3,2,6,7,4,8,5,1]=>[1,5,8,4,7,6,2,3]
[7,1,3,8,4,5,2,6]=>[6,2,5,4,8,3,1,7]
[7,1,8,3,4,6,2,5]=>[5,2,6,4,3,8,1,7]
[6,3,2,7,5,8,4,1]=>[1,4,8,5,7,2,3,6]
[6,2,7,1,4,5,3,8]=>[8,3,5,4,1,7,2,6]
[4,2,6,1,5,7,3,8]=>[8,3,7,5,1,6,2,4]
[2,5,4,1,3,6,7,8]=>[8,7,6,3,1,4,5,2]
[5,4,1,2,6,7,3,8]=>[8,3,7,6,2,1,4,5]
[6,5,2,7,4,1,3,8]=>[8,3,1,4,7,2,5,6]
[6,5,7,3,1,4,2,8]=>[8,2,4,1,3,7,5,6]
[6,7,4,3,1,5,8,2]=>[2,8,5,1,3,4,7,6]
[3,1,6,7,8,4,5,2]=>[2,5,4,8,7,6,1,3]
[7,4,5,6,2,1,8,3]=>[3,8,1,2,6,5,4,7]
[8,2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2,8]
[6,4,5,2,7,1,8,3]=>[3,8,1,7,2,5,4,6]
[3,7,5,6,2,1,8,4]=>[4,8,1,2,6,5,7,3]
[1,7,6,3,8,4,5,2]=>[2,5,4,8,3,6,7,1]
[5,7,8,4,2,3,1,6]=>[6,1,3,2,4,8,7,5]
[6,3,1,4,5,2,7,8]=>[8,7,2,5,4,1,3,6]
[6,4,1,2,7,8,3,5]=>[5,3,8,7,2,1,4,6]
[6,4,1,3,5,2,7,8]=>[8,7,2,5,3,1,4,6]
[6,3,4,1,7,8,2,5]=>[5,2,8,7,1,4,3,6]
[5,3,4,2,6,8,1,7]=>[7,1,8,6,2,4,3,5]
[6,8,1,5,3,4,2,7]=>[7,2,4,3,5,1,8,6]
[4,3,5,6,1,8,2,7]=>[7,2,8,1,6,5,3,4]
[5,1,8,3,4,6,2,7]=>[7,2,6,4,3,8,1,5]
[6,2,8,3,4,7,1,5]=>[5,1,7,4,3,8,2,6]
[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]
[4,5,8,2,3,7,1,6]=>[6,1,7,3,2,8,5,4]
[7,3,4,8,2,5,1,6]=>[6,1,5,2,8,4,3,7]
[6,2,3,5,1,8,4,7]=>[7,4,8,1,5,3,2,6]
[6,8,1,5,4,2,3,7]=>[7,3,2,4,5,1,8,6]
[6,2,4,7,3,1,5,8]=>[8,5,1,3,7,4,2,6]
[4,7,2,5,1,6,8,3]=>[3,8,6,1,5,2,7,4]
[3,1,4,5,8,2,7,6]=>[6,7,2,8,5,4,1,3]
[4,7,3,1,8,2,6,5]=>[5,6,2,8,1,3,7,4]
[6,2,3,8,5,1,4,7]=>[7,4,1,5,8,3,2,6]
[6,2,3,8,4,7,1,5]=>[5,1,7,4,8,3,2,6]
[6,2,5,1,3,8,4,7]=>[7,4,8,3,1,5,2,6]
[5,1,2,8,4,6,3,7]=>[7,3,6,4,8,2,1,5]
[5,1,3,7,4,6,2,8]=>[8,2,6,4,7,3,1,5]
[5,1,4,6,2,8,3,7]=>[7,3,8,2,6,4,1,5]
[6,5,4,7,2,8,3,1]=>[1,3,8,2,7,4,5,6]
[3,2,4,6,5,8,1,7]=>[7,1,8,5,6,4,2,3]
[7,5,2,1,6,3,4,8]=>[8,4,3,6,1,2,5,7]
[6,3,1,7,4,2,5,8]=>[8,5,2,4,7,1,3,6]
[8,7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7,8]
[6,8,5,3,7,4,2,1]=>[1,2,4,7,3,5,8,6]
[7,2,8,1,5,6,4,3]=>[3,4,6,5,1,8,2,7]
[8,3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3,8]
[7,5,6,1,4,8,2,3]=>[3,2,8,4,1,6,5,7]
[5,7,2,6,3,8,4,1]=>[1,4,8,3,6,2,7,5]
[5,6,4,2,1,8,3,7]=>[7,3,8,1,2,4,6,5]
[6,8,1,3,2,7,5,4]=>[4,5,7,2,3,1,8,6]
[5,7,3,6,4,1,2,8]=>[8,2,1,4,6,3,7,5]
[7,2,4,3,8,1,5,6]=>[6,5,1,8,3,4,2,7]
[2,5,4,6,1,3,8,7]=>[7,8,3,1,6,4,5,2]
[2,4,3,5,8,1,6,7]=>[7,6,1,8,5,3,4,2]
[5,8,2,6,7,4,3,1]=>[1,3,4,7,6,2,8,5]
[3,7,5,1,6,4,2,8]=>[8,2,4,6,1,5,7,3]
[8,2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2,8]
[2,6,5,3,8,1,4,7]=>[7,4,1,8,3,5,6,2]
[5,2,7,4,8,6,3,1]=>[1,3,6,8,4,7,2,5]
[6,2,5,8,1,7,3,4]=>[4,3,7,1,8,5,2,6]
[6,1,2,4,3,5,7,8]=>[8,7,5,3,4,2,1,6]
[5,6,7,4,1,3,8,2]=>[2,8,3,1,4,7,6,5]
[8,5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5,8]
[5,8,6,1,4,2,7,3]=>[3,7,2,4,1,6,8,5]
[6,5,8,2,7,3,4,1]=>[1,4,3,7,2,8,5,6]
[7,6,1,2,4,3,5,8]=>[8,5,3,4,2,1,6,7]
[5,6,7,4,1,3,2,8]=>[8,2,3,1,4,7,6,5]
[1,7,6,8,4,3,2,5]=>[5,2,3,4,8,6,7,1]
[1,7,6,5,3,8,2,4]=>[4,2,8,3,5,6,7,1]
[6,4,5,7,1,3,2,8]=>[8,2,3,1,7,5,4,6]
[6,1,2,4,3,5,8,7]=>[7,8,5,3,4,2,1,6]
[6,1,2,4,3,7,5,8]=>[8,5,7,3,4,2,1,6]
[7,4,5,8,2,3,6,1]=>[1,6,3,2,8,5,4,7]
[4,6,1,3,7,8,5,2]=>[2,5,8,7,3,1,6,4]
[8,4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4,8]
[7,1,2,4,3,5,8,6]=>[6,8,5,3,4,2,1,7]
[1,5,6,3,8,7,2,4]=>[4,2,7,8,3,6,5,1]
[5,6,8,4,7,1,3,2]=>[2,3,1,7,4,8,6,5]
[5,3,2,6,8,7,1,4]=>[4,1,7,8,6,2,3,5]
[6,3,5,2,7,1,4,8]=>[8,4,1,7,2,5,3,6]
[8,5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5,8]
[6,8,7,2,4,1,5,3]=>[3,5,1,4,2,7,8,6]
[5,3,8,7,1,4,2,6]=>[6,2,4,1,7,8,3,5]
[6,4,5,3,1,8,7,2]=>[2,7,8,1,3,5,4,6]
[8,5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5,8]
[2,8,6,1,5,4,7,3]=>[3,7,4,5,1,6,8,2]
[8,3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3,8]
[3,8,6,4,7,1,2,5]=>[5,2,1,7,4,6,8,3]
[1,8,7,5,4,3,2,6]=>[6,2,3,4,5,7,8,1]
[8,6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6,8]
[3,1,4,7,6,2,5,8]=>[8,5,2,6,7,4,1,3]
[5,4,7,1,6,3,2,8]=>[8,2,3,6,1,7,4,5]
[5,3,4,1,6,2,7,8]=>[8,7,2,6,1,4,3,5]
[2,7,1,4,6,3,5,8]=>[8,5,3,6,4,1,7,2]
[7,3,1,6,5,2,4,8]=>[8,4,2,5,6,1,3,7]
[7,1,5,2,4,6,3,8]=>[8,3,6,4,2,5,1,7]
[6,1,4,5,2,7,3,8]=>[8,3,7,2,5,4,1,6]
[6,1,5,8,2,7,4,3]=>[3,4,7,2,8,5,1,6]
[7,1,2,3,6,4,5,8]=>[8,5,4,6,3,2,1,7]
[6,3,1,8,5,4,7,2]=>[2,7,4,5,8,1,3,6]
[3,1,8,7,5,4,6,2]=>[2,6,4,5,7,8,1,3]
[1,8,3,7,5,4,6,2]=>[2,6,4,5,7,3,8,1]
[6,1,3,8,7,4,5,2]=>[2,5,4,7,8,3,1,6]
[5,6,1,3,7,4,8,2]=>[2,8,4,7,3,1,6,5]
[1,6,3,8,5,4,7,2]=>[2,7,4,5,8,3,6,1]
[8,2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2,8]
[2,8,4,6,5,1,7,3]=>[3,7,1,5,6,4,8,2]
[7,4,1,3,6,5,2,8]=>[8,2,5,6,3,1,4,7]
[7,8,1,6,4,3,2,5]=>[5,2,3,4,6,1,8,7]
[8,5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5,8]
[6,8,7,2,1,3,5,4]=>[4,5,3,1,2,7,8,6]
[5,7,2,8,1,3,6,4]=>[4,6,3,1,8,2,7,5]
[3,1,4,8,2,7,6,5]=>[5,6,7,2,8,4,1,3]
[5,4,1,2,6,3,8,7]=>[7,8,3,6,2,1,4,5]
[3,8,4,6,1,2,7,5]=>[5,7,2,1,6,4,8,3]
[6,3,1,4,8,7,2,5]=>[5,2,7,8,4,1,3,6]
[3,4,7,5,1,8,2,6]=>[6,2,8,1,5,7,4,3]
[6,5,1,4,7,3,2,8]=>[8,2,3,7,4,1,5,6]
[8,4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4,8]
[2,7,8,4,1,3,6,5]=>[5,6,3,1,4,8,7,2]
[2,4,6,5,7,8,1,3]=>[3,1,8,7,5,6,4,2]
[2,4,6,7,5,8,1,3]=>[3,1,8,5,7,6,4,2]
[2,4,6,3,7,8,1,5]=>[5,1,8,7,3,6,4,2]
[2,4,5,6,8,7,1,3]=>[3,1,7,8,6,5,4,2]
[2,4,5,6,8,3,7,1]=>[1,7,3,8,6,5,4,2]
[2,4,5,6,3,8,1,7]=>[7,1,8,3,6,5,4,2]
[2,3,4,6,8,5,1,7]=>[7,1,5,8,6,4,3,2]
[1,8,6,3,4,7,5,2]=>[2,5,7,4,3,6,8,1]
[8,6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6,8]
[1,6,3,5,8,4,7,2]=>[2,7,4,8,5,3,6,1]
[5,2,8,3,4,1,6,7]=>[7,6,1,4,3,8,2,5]
[3,6,4,1,2,7,8,5]=>[5,8,7,2,1,4,6,3]
[4,1,7,3,8,6,2,5]=>[5,2,6,8,3,7,1,4]
[6,1,8,5,4,3,2,7]=>[7,2,3,4,5,8,1,6]
[8,2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2,8]
[5,3,6,4,1,8,2,7]=>[7,2,8,1,4,6,3,5]
[8,4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4,8]
[1,5,2,7,6,8,4,3]=>[3,4,8,6,7,2,5,1]
[8,1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1,8]
[6,5,2,8,1,3,7,4]=>[4,7,3,1,8,2,5,6]
[4,5,2,1,6,3,7,8]=>[8,7,3,6,1,2,5,4]
[8,2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2,8]
[7,2,5,4,1,6,8,3]=>[3,8,6,1,4,5,2,7]
[5,7,6,4,3,1,2,8]=>[8,2,1,3,4,6,7,5]
[4,6,8,7,1,3,2,5]=>[5,2,3,1,7,8,6,4]
[4,7,6,8,3,1,2,5]=>[5,2,1,3,8,6,7,4]
[1,7,8,6,3,5,2,4]=>[4,2,5,3,6,8,7,1]
[4,8,2,7,6,5,1,3]=>[3,1,5,6,7,2,8,4]
[7,4,2,8,6,5,1,3]=>[3,1,5,6,8,2,4,7]
[8,6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6,8]
[6,5,8,2,7,1,4,3]=>[3,4,1,7,2,8,5,6]
[7,5,8,2,1,6,4,3]=>[3,4,6,1,2,8,5,7]
[3,2,1,6,5,8,4,7]=>[7,4,8,5,6,1,2,3]
[2,6,4,8,5,7,3,1]=>[1,3,7,5,8,4,6,2]
[6,3,1,4,5,8,2,7]=>[7,2,8,5,4,1,3,6]
[3,4,8,5,2,1,7,6]=>[6,7,1,2,5,8,4,3]
[4,8,7,1,3,2,6,5]=>[5,6,2,3,1,7,8,4]
[5,8,7,4,6,1,3,2]=>[2,3,1,6,4,7,8,5]
[3,4,1,8,7,6,2,5]=>[5,2,6,7,8,1,4,3]
[1,3,5,6,8,7,2,4]=>[4,2,7,8,6,5,3,1]
[2,8,7,5,4,1,6,3]=>[3,6,1,4,5,7,8,2]
[8,1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1,8]
[5,8,7,3,4,1,6,2]=>[2,6,1,4,3,7,8,5]
[4,6,1,3,2,8,5,7]=>[7,5,8,2,3,1,6,4]
[2,6,5,8,3,1,4,7]=>[7,4,1,3,8,5,6,2]
[6,7,8,2,4,5,3,1]=>[1,3,5,4,2,8,7,6]
[3,2,8,4,5,7,1,6]=>[6,1,7,5,4,8,2,3]
[6,1,8,2,4,5,3,7]=>[7,3,5,4,2,8,1,6]
[8,3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3,8]
[1,3,8,4,7,6,2,5]=>[5,2,6,7,4,8,3,1]
[8,3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3,8]
[2,6,4,7,8,5,1,3]=>[3,1,5,8,7,4,6,2]
[5,4,3,7,6,1,8,2]=>[2,8,1,6,7,3,4,5]
[8,6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6,8]
[3,1,2,8,7,6,4,5]=>[5,4,6,7,8,2,1,3]
[8,5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5,8]
[8,3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3,8]
[2,3,8,4,1,7,5,6]=>[6,5,7,1,4,8,3,2]
[4,6,1,3,2,7,8,5]=>[5,8,7,2,3,1,6,4]
[6,7,2,5,8,4,1,3]=>[3,1,4,8,5,2,7,6]
[4,1,7,8,2,5,6,3]=>[3,6,5,2,8,7,1,4]
[3,4,6,7,1,5,8,2]=>[2,8,5,1,7,6,4,3]
[3,4,5,7,8,1,6,2]=>[2,6,1,8,7,5,4,3]
[1,8,7,4,3,5,2,6]=>[6,2,5,3,4,7,8,1]
[2,6,7,5,1,4,3,8]=>[8,3,4,1,5,7,6,2]
[4,5,2,8,1,3,7,6]=>[6,7,3,1,8,2,5,4]
[8,3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3,8]
[2,4,5,8,1,3,7,6]=>[6,7,3,1,8,5,4,2]
[1,4,3,5,8,7,2,6]=>[6,2,7,8,5,3,4,1]
[6,2,3,1,7,4,5,8]=>[8,5,4,7,1,3,2,6]
[7,2,3,8,1,6,4,5]=>[5,4,6,1,8,3,2,7]
[8,2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2,8]
[6,1,3,4,7,8,2,5]=>[5,2,8,7,4,3,1,6]
[2,5,3,6,7,8,1,4]=>[4,1,8,7,6,3,5,2]
[1,5,6,2,7,8,4,3]=>[3,4,8,7,2,6,5,1]
[5,1,8,4,3,7,6,2]=>[2,6,7,3,4,8,1,5]
[8,4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4,8]
[5,2,4,1,6,7,3,8]=>[8,3,7,6,1,4,2,5]
[8,2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2,8]
[4,2,1,8,6,7,5,3]=>[3,5,7,6,8,1,2,4]
[1,7,8,2,6,3,4,5]=>[5,4,3,6,2,8,7,1]
[2,7,8,6,5,3,1,4]=>[4,1,3,5,6,8,7,2]
[6,5,7,1,2,4,8,3]=>[3,8,4,2,1,7,5,6]
[8,6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6,8]
[7,2,8,1,3,5,4,6]=>[6,4,5,3,1,8,2,7]
[5,2,4,6,7,8,1,3]=>[3,1,8,7,6,4,2,5]
[8,5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5,8]
[8,1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1,8]
[6,3,1,5,8,4,2,7]=>[7,2,4,8,5,1,3,6]
[2,8,3,5,6,1,4,7]=>[7,4,1,6,5,3,8,2]
[1,3,6,4,2,7,5,8]=>[8,5,7,2,4,6,3,1]
[2,3,7,5,8,1,4,6]=>[6,4,1,8,5,7,3,2]
[3,2,8,5,6,1,4,7]=>[7,4,1,6,5,8,2,3]
[7,2,5,8,1,4,6,3]=>[3,6,4,1,8,5,2,7]
[4,7,5,8,1,2,6,3]=>[3,6,2,1,8,5,7,4]
[4,7,5,8,1,2,3,6]=>[6,3,2,1,8,5,7,4]
[3,4,7,5,2,8,1,6]=>[6,1,8,2,5,7,4,3]
[4,3,2,5,7,8,1,6]=>[6,1,8,7,5,2,3,4]
[2,4,7,5,8,3,1,6]=>[6,1,3,8,5,7,4,2]
[2,5,4,7,3,8,1,6]=>[6,1,8,3,7,4,5,2]
[3,7,8,4,2,1,6,5]=>[5,6,1,2,4,8,7,3]
[4,3,5,6,8,1,2,7]=>[7,2,1,8,6,5,3,4]
[4,6,5,8,1,2,3,7]=>[7,3,2,1,8,5,6,4]
[6,3,5,8,7,4,2,1]=>[1,2,4,7,8,5,3,6]
[4,8,2,7,6,3,1,5]=>[5,1,3,6,7,2,8,4]
[4,1,3,5,6,8,2,7]=>[7,2,8,6,5,3,1,4]
[8,5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5,8]
[6,1,3,4,8,7,5,2]=>[2,5,7,8,4,3,1,6]
[1,4,8,2,7,5,6,3]=>[3,6,5,7,2,8,4,1]
[2,4,8,1,7,5,3,6]=>[6,3,5,7,1,8,4,2]
[2,4,1,8,3,7,6,5]=>[5,6,7,3,8,1,4,2]
[6,3,4,8,7,5,2,1]=>[1,2,5,7,8,4,3,6]
[6,8,1,4,5,2,7,3]=>[3,7,2,5,4,1,8,6]
[3,6,1,8,5,7,2,4]=>[4,2,7,5,8,1,6,3]
[1,5,4,8,7,6,2,3]=>[3,2,6,7,8,4,5,1]
[3,2,4,5,8,1,6,7]=>[7,6,1,8,5,4,2,3]
[4,3,8,5,1,6,2,7]=>[7,2,6,1,5,8,3,4]
[1,4,7,8,2,5,3,6]=>[6,3,5,2,8,7,4,1]
[3,8,4,2,7,6,1,5]=>[5,1,6,7,2,4,8,3]
[3,6,8,4,2,7,1,5]=>[5,1,7,2,4,8,6,3]
[3,7,5,1,6,2,8,4]=>[4,8,2,6,1,5,7,3]
[4,8,3,7,6,2,1,5]=>[5,1,2,6,7,3,8,4]
[1,4,7,6,3,8,2,5]=>[5,2,8,3,6,7,4,1]
[4,6,8,3,7,2,1,5]=>[5,1,2,7,3,8,6,4]
[3,6,5,1,7,2,8,4]=>[4,8,2,7,1,5,6,3]
[7,4,1,6,2,8,5,3]=>[3,5,8,2,6,1,4,7]
[7,4,2,8,5,1,6,3]=>[3,6,1,5,8,2,4,7]
[1,3,6,8,2,4,7,5]=>[5,7,4,2,8,6,3,1]
[6,8,3,7,4,2,1,5]=>[5,1,2,4,7,3,8,6]
[1,6,7,4,3,8,2,5]=>[5,2,8,3,4,7,6,1]
[7,3,1,6,5,2,8,4]=>[4,8,2,5,6,1,3,7]
[6,1,8,5,4,2,7,3]=>[3,7,2,4,5,8,1,6]
[8,5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5,8]
[4,6,1,8,5,2,7,3]=>[3,7,2,5,8,1,6,4]
[4,8,5,1,6,2,7,3]=>[3,7,2,6,1,5,8,4]
[8,5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5,8]
[5,7,3,1,6,2,8,4]=>[4,8,2,6,1,3,7,5]
[1,5,8,2,6,3,7,4]=>[4,7,3,6,2,8,5,1]
[5,6,3,1,7,2,8,4]=>[4,8,2,7,1,3,6,5]
[4,7,2,8,5,1,6,3]=>[3,6,1,5,8,2,7,4]
[4,6,1,7,2,8,5,3]=>[3,5,8,2,7,1,6,4]
[2,4,3,8,7,5,1,6]=>[6,1,5,7,8,3,4,2]
[3,5,4,1,8,6,2,7]=>[7,2,6,8,1,4,5,3]
[6,5,7,3,1,4,8,2]=>[2,8,4,1,3,7,5,6]
[4,1,5,8,2,6,3,7]=>[7,3,6,2,8,5,1,4]
[3,2,4,7,5,1,8,6]=>[6,8,1,5,7,4,2,3]
[4,3,5,8,6,1,2,7]=>[7,2,1,6,8,5,3,4]
[2,8,1,3,4,7,6,5]=>[5,6,7,4,3,1,8,2]
[4,3,5,8,6,2,1,7]=>[7,1,2,6,8,5,3,4]
[7,8,6,2,1,5,4,3]=>[3,4,5,1,2,6,8,7]
[7,8,6,2,1,4,5,3]=>[3,5,4,1,2,6,8,7]
[2,1,3,7,5,8,6,4]=>[4,6,8,5,7,3,1,2]
[3,2,4,8,6,5,1,7]=>[7,1,5,6,8,4,2,3]
[8,6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6,8]
[2,8,6,1,3,7,5,4]=>[4,5,7,3,1,6,8,2]
[6,7,5,2,4,8,1,3]=>[3,1,8,4,2,5,7,6]
[7,6,8,4,2,5,1,3]=>[3,1,5,2,4,8,6,7]
[8,6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6,8]
[7,8,6,2,4,5,1,3]=>[3,1,5,4,2,6,8,7]
[2,1,3,8,7,5,6,4]=>[4,6,5,7,8,3,1,2]
[8,1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1,8]
[1,6,4,7,3,8,5,2]=>[2,5,8,3,7,4,6,1]
[4,5,7,6,1,2,3,8]=>[8,3,2,1,6,7,5,4]
[3,6,5,7,1,2,4,8]=>[8,4,2,1,7,5,6,3]
[4,8,1,6,3,7,2,5]=>[5,2,7,3,6,1,8,4]
[4,8,5,6,3,2,7,1]=>[1,7,2,3,6,5,8,4]
[1,7,8,6,4,5,2,3]=>[3,2,5,4,6,8,7,1]
[6,7,2,1,4,8,5,3]=>[3,5,8,4,1,2,7,6]
[2,6,4,8,5,7,1,3]=>[3,1,7,5,8,4,6,2]
[6,4,2,5,8,7,1,3]=>[3,1,7,8,5,2,4,6]
[8,5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5,8]
[1,8,6,3,4,5,7,2]=>[2,7,5,4,3,6,8,1]
[3,7,8,6,4,5,1,2]=>[2,1,5,4,6,8,7,3]
[1,7,6,2,4,8,5,3]=>[3,5,8,4,2,6,7,1]
[8,2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2,8]
[7,2,8,6,1,4,5,3]=>[3,5,4,1,6,8,2,7]
[5,2,7,3,4,8,6,1]=>[1,6,8,4,3,7,2,5]
[5,7,3,2,4,8,6,1]=>[1,6,8,4,2,3,7,5]
[2,6,8,5,4,3,1,7]=>[7,1,3,4,5,8,6,2]
[2,8,4,6,3,5,1,7]=>[7,1,5,3,6,4,8,2]
[1,8,4,3,5,6,2,7]=>[7,2,6,5,3,4,8,1]
[2,7,8,3,6,4,5,1]=>[1,5,4,6,3,8,7,2]
[8,3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3,8]
[2,6,4,8,5,3,1,7]=>[7,1,3,5,8,4,6,2]
[3,8,1,4,6,5,2,7]=>[7,2,5,6,4,1,8,3]
[2,7,5,4,1,8,3,6]=>[6,3,8,1,4,5,7,2]
[4,6,1,8,5,3,2,7]=>[7,2,3,5,8,1,6,4]
[3,8,5,2,1,6,4,7]=>[7,4,6,1,2,5,8,3]
[5,1,4,8,2,6,3,7]=>[7,3,6,2,8,4,1,5]
[4,5,8,1,3,7,6,2]=>[2,6,7,3,1,8,5,4]
[8,6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6,8]
[1,4,7,8,6,3,5,2]=>[2,5,3,6,8,7,4,1]
[8,5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5,8]
[8,3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3,8]
[3,8,6,1,2,5,7,4]=>[4,7,5,2,1,6,8,3]
[3,7,6,2,1,8,5,4]=>[4,5,8,1,2,6,7,3]
[4,3,7,6,1,8,5,2]=>[2,5,8,1,6,7,3,4]
[8,6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6,8]
[6,8,1,5,4,7,2,3]=>[3,2,7,4,5,1,8,6]
[6,7,2,5,4,8,1,3]=>[3,1,8,4,5,2,7,6]
[7,6,2,4,8,5,1,3]=>[3,1,5,8,4,2,6,7]
[4,6,8,7,3,1,2,5]=>[5,2,1,3,7,8,6,4]
[8,7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7,8]
[5,7,2,1,6,3,4,8]=>[8,4,3,6,1,2,7,5]
[5,3,6,8,7,4,1,2]=>[2,1,4,7,8,6,3,5]
[4,3,1,7,2,5,6,8]=>[8,6,5,2,7,1,3,4]
[7,8,4,6,2,3,5,1]=>[1,5,3,2,6,4,8,7]
[5,7,2,6,8,3,4,1]=>[1,4,3,8,6,2,7,5]
[2,6,8,1,7,3,5,4]=>[4,5,3,7,1,8,6,2]
[7,3,4,5,2,1,8,6]=>[6,8,1,2,5,4,3,7]
[7,3,4,5,2,8,6,1]=>[1,6,8,2,5,4,3,7]
[4,7,5,2,6,3,8,1]=>[1,8,3,6,2,5,7,4]
[3,5,6,2,8,1,4,7]=>[7,4,1,8,2,6,5,3]
[4,8,5,2,6,3,7,1]=>[1,7,3,6,2,5,8,4]
[2,7,4,6,1,3,5,8]=>[8,5,3,1,6,4,7,2]
[3,1,8,6,7,2,5,4]=>[4,5,2,7,6,8,1,3]
[8,7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7,8]
[2,7,4,6,8,3,1,5]=>[5,1,3,8,6,4,7,2]
[7,1,5,6,8,4,2,3]=>[3,2,4,8,6,5,1,7]
[8,1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1,8]
[2,8,5,1,6,3,7,4]=>[4,7,3,6,1,5,8,2]
[5,1,2,4,3,7,6,8]=>[8,6,7,3,4,2,1,5]
[6,1,8,2,4,3,5,7]=>[7,5,3,4,2,8,1,6]
[7,6,1,5,3,4,2,8]=>[8,2,4,3,5,1,6,7]
[7,6,1,3,5,4,2,8]=>[8,2,4,5,3,1,6,7]
[7,2,4,1,3,6,5,8]=>[8,5,6,3,1,4,2,7]
[7,6,2,3,1,5,4,8]=>[8,4,5,1,3,2,6,7]
[1,6,8,2,5,3,4,7]=>[7,4,3,5,2,8,6,1]
[8,5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5,8]
[3,6,4,1,8,2,5,7]=>[7,5,2,8,1,4,6,3]
[8,7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7,8]
[8,5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5,8]
[5,3,8,1,7,4,6,2]=>[2,6,4,7,1,8,3,5]
[8,7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7,8]
[8,7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7,8]
[8,7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7,8]
[5,4,8,7,1,2,6,3]=>[3,6,2,1,7,8,4,5]
[1,8,7,5,4,2,6,3]=>[3,6,2,4,5,7,8,1]
[8,1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1,8]
[2,5,6,4,3,8,1,7]=>[7,1,8,3,4,6,5,2]
[1,2,5,6,4,8,3,7]=>[7,3,8,4,6,5,2,1]
[4,1,8,5,2,7,3,6]=>[6,3,7,2,5,8,1,4]
[8,7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7,8]
[8,6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6,8]
[4,6,3,1,8,2,5,7]=>[7,5,2,8,1,3,6,4]
[8,4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4,8]
[8,7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7,8]
[8,7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7,8]
[8,4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4,8]
[3,2,1,7,4,8,6,5]=>[5,6,8,4,7,1,2,3]
[2,6,3,4,8,1,7,5]=>[5,7,1,8,4,3,6,2]
[7,5,3,4,2,8,6,1]=>[1,6,8,2,4,3,5,7]
[4,6,3,8,5,2,7,1]=>[1,7,2,5,8,3,6,4]
[1,8,7,6,2,3,5,4]=>[4,5,3,2,6,7,8,1]
[8,7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7,8]
[8,4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4,8]
[4,1,3,8,5,6,2,7]=>[7,2,6,5,8,3,1,4]
[7,1,8,4,5,6,2,3]=>[3,2,6,5,4,8,1,7]
[2,7,8,4,5,6,1,3]=>[3,1,6,5,4,8,7,2]
[5,2,4,7,1,6,3,8]=>[8,3,6,1,7,4,2,5]
[3,2,1,5,8,7,4,6]=>[6,4,7,8,5,1,2,3]
[5,2,8,3,1,6,7,4]=>[4,7,6,1,3,8,2,5]
[6,8,3,4,2,1,5,7]=>[7,5,1,2,4,3,8,6]
[7,8,3,4,2,6,5,1]=>[1,5,6,2,4,3,8,7]
[1,7,8,6,3,2,5,4]=>[4,5,2,3,6,8,7,1]
[3,7,2,4,5,6,1,8]=>[8,1,6,5,4,2,7,3]
[2,7,1,4,5,6,3,8]=>[8,3,6,5,4,1,7,2]
[3,2,8,1,5,7,4,6]=>[6,4,7,5,1,8,2,3]
[8,1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1,8]
[3,4,6,7,2,1,5,8]=>[8,5,1,2,7,6,4,3]
[2,3,1,7,4,6,8,5]=>[5,8,6,4,7,1,3,2]
[1,2,6,5,7,3,4,8]=>[8,4,3,7,5,6,2,1]
[7,8,6,5,1,3,4,2]=>[2,4,3,1,5,6,8,7]
[7,2,5,4,6,8,3,1]=>[1,3,8,6,4,5,2,7]
[4,3,5,1,6,7,2,8]=>[8,2,7,6,1,5,3,4]
[6,4,1,7,8,3,5,2]=>[2,5,3,8,7,1,4,6]
[2,6,7,1,4,3,8,5]=>[5,8,3,4,1,7,6,2]
[5,7,6,2,1,8,3,4]=>[4,3,8,1,2,6,7,5]
[6,3,7,4,5,1,2,8]=>[8,2,1,5,4,7,3,6]
[4,2,5,3,8,6,7,1]=>[1,7,6,8,3,5,2,4]
[3,2,7,4,8,5,6,1]=>[1,6,5,8,4,7,2,3]
[7,2,5,1,6,3,8,4]=>[4,8,3,6,1,5,2,7]
[6,3,8,5,4,2,7,1]=>[1,7,2,4,5,8,3,6]
[7,4,6,1,3,5,2,8]=>[8,2,5,3,1,6,4,7]
[1,5,3,8,7,4,6,2]=>[2,6,4,7,8,3,5,1]
[5,1,3,8,7,4,6,2]=>[2,6,4,7,8,3,1,5]
[2,5,3,8,7,4,1,6]=>[6,1,4,7,8,3,5,2]
[6,8,3,5,1,2,7,4]=>[4,7,2,1,5,3,8,6]
[5,8,2,7,4,6,3,1]=>[1,3,6,4,7,2,8,5]
[4,5,2,8,3,7,1,6]=>[6,1,7,3,8,2,5,4]
[7,8,5,1,6,4,3,2]=>[2,3,4,6,1,5,8,7]
[8,7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7,8]
[4,5,8,3,1,2,7,6]=>[6,7,2,1,3,8,5,4]
[4,6,8,3,2,1,7,5]=>[5,7,1,2,3,8,6,4]
[4,6,8,3,5,1,2,7]=>[7,2,1,5,3,8,6,4]
[4,5,8,3,1,6,2,7]=>[7,2,6,1,3,8,5,4]
[4,6,7,3,5,2,1,8]=>[8,1,2,5,3,7,6,4]
[5,4,2,6,1,7,3,8]=>[8,3,7,1,6,2,4,5]
[7,2,6,3,4,8,1,5]=>[5,1,8,4,3,6,2,7]
[1,8,5,2,4,3,7,6]=>[6,7,3,4,2,5,8,1]
[2,5,1,3,4,8,7,6]=>[6,7,8,4,3,1,5,2]
[1,4,6,3,7,5,2,8]=>[8,2,5,7,3,6,4,1]
[6,5,8,3,4,7,2,1]=>[1,2,7,4,3,8,5,6]
[4,5,2,6,8,7,3,1]=>[1,3,7,8,6,2,5,4]
[4,7,6,3,1,5,2,8]=>[8,2,5,1,3,6,7,4]
[1,7,6,3,8,5,2,4]=>[4,2,5,8,3,6,7,1]
[3,7,8,1,4,5,6,2]=>[2,6,5,4,1,8,7,3]
[2,7,3,1,4,5,6,8]=>[8,6,5,4,1,3,7,2]
[1,8,7,4,2,5,6,3]=>[3,6,5,2,4,7,8,1]
[1,8,4,2,7,5,6,3]=>[3,6,5,7,2,4,8,1]
[6,4,1,3,7,5,8,2]=>[2,8,5,7,3,1,4,6]
[1,3,8,7,4,5,6,2]=>[2,6,5,4,7,8,3,1]
[7,3,1,8,4,5,6,2]=>[2,6,5,4,8,1,3,7]
[3,2,8,7,4,5,6,1]=>[1,6,5,4,7,8,2,3]
[6,2,4,3,7,5,8,1]=>[1,8,5,7,3,4,2,6]
[2,6,4,3,7,5,1,8]=>[8,1,5,7,3,4,6,2]
[6,4,2,5,1,7,8,3]=>[3,8,7,1,5,2,4,6]
[3,8,2,1,5,7,6,4]=>[4,6,7,5,1,2,8,3]
[1,8,3,2,5,7,6,4]=>[4,6,7,5,2,3,8,1]
[1,3,2,8,7,4,6,5]=>[5,6,4,7,8,2,3,1]
[3,8,2,1,7,4,6,5]=>[5,6,4,7,1,2,8,3]
[7,5,2,8,3,1,6,4]=>[4,6,1,3,8,2,5,7]
[4,6,7,3,2,5,1,8]=>[8,1,5,2,3,7,6,4]
[1,8,4,7,3,5,6,2]=>[2,6,5,3,7,4,8,1]
[5,4,2,7,3,8,6,1]=>[1,6,8,3,7,2,4,5]
[5,7,2,1,3,8,6,4]=>[4,6,8,3,1,2,7,5]
[4,6,3,7,8,1,2,5]=>[5,2,1,8,7,3,6,4]
[4,6,2,7,1,5,8,3]=>[3,8,5,1,7,2,6,4]
[2,7,5,4,1,6,8,3]=>[3,8,6,1,4,5,7,2]
[6,8,5,4,7,1,2,3]=>[3,2,1,7,4,5,8,6]
[8,3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3,8]
[6,2,5,4,8,7,3,1]=>[1,3,7,8,4,5,2,6]
[6,2,5,4,1,7,8,3]=>[3,8,7,1,4,5,2,6]
[8,2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2,8]
[8,1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1,8]
[5,1,8,4,3,2,7,6]=>[6,7,2,3,4,8,1,5]
[4,1,5,6,3,8,7,2]=>[2,7,8,3,6,5,1,4]
[8,5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5,8]
[6,8,7,4,3,2,5,1]=>[1,5,2,3,4,7,8,6]
[1,7,8,4,3,2,5,6]=>[6,5,2,3,4,8,7,1]
[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]
[8,1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1,8]
[8,2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2,8]
[8,1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1,8]
[2,8,5,6,3,7,4,1]=>[1,4,7,3,6,5,8,2]
[5,6,8,3,1,2,4,7]=>[7,4,2,1,3,8,6,5]
[2,8,5,1,3,7,6,4]=>[4,6,7,3,1,5,8,2]
[2,4,5,8,3,7,6,1]=>[1,6,7,3,8,5,4,2]
[8,3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3,8]
[8,2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2,8]
[8,1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1,8]
[5,6,4,1,8,2,7,3]=>[3,7,2,8,1,4,6,5]
[6,4,5,1,3,8,7,2]=>[2,7,8,3,1,5,4,6]
[6,1,3,5,4,8,2,7]=>[7,2,8,4,5,3,1,6]
[1,3,8,7,2,5,6,4]=>[4,6,5,2,7,8,3,1]
[2,5,4,1,8,3,7,6]=>[6,7,3,8,1,4,5,2]
[5,1,4,8,3,7,6,2]=>[2,6,7,3,8,4,1,5]
[8,4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4,8]
[4,8,3,2,7,6,5,1]=>[1,5,6,7,2,3,8,4]
[1,8,7,3,4,6,5,2]=>[2,5,6,4,3,7,8,1]
[5,3,1,2,4,6,8,7]=>[7,8,6,4,2,1,3,5]
[8,5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5,8]
[3,1,2,8,7,5,4,6]=>[6,4,5,7,8,2,1,3]
[2,5,8,4,1,3,6,7]=>[7,6,3,1,4,8,5,2]
[5,1,3,2,8,4,6,7]=>[7,6,4,8,2,3,1,5]
[1,4,8,3,5,2,6,7]=>[7,6,2,5,3,8,4,1]
[1,4,3,8,5,7,2,6]=>[6,2,7,5,8,3,4,1]
[1,8,3,4,7,5,2,6]=>[6,2,5,7,4,3,8,1]
[6,7,1,5,2,8,4,3]=>[3,4,8,2,5,1,7,6]
[1,5,3,7,6,4,8,2]=>[2,8,4,6,7,3,5,1]
[4,8,1,3,6,2,7,5]=>[5,7,2,6,3,1,8,4]
[2,7,3,4,8,6,5,1]=>[1,5,6,8,4,3,7,2]
[1,8,2,4,7,3,6,5]=>[5,6,3,7,4,2,8,1]
[5,8,1,7,3,2,4,6]=>[6,4,2,3,7,1,8,5]
[2,7,4,3,5,8,6,1]=>[1,6,8,5,3,4,7,2]
[8,7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7,8]
[2,1,5,8,3,4,7,6]=>[6,7,4,3,8,5,1,2]
[3,8,5,1,2,7,4,6]=>[6,4,7,2,1,5,8,3]
[2,7,1,6,5,8,3,4]=>[4,3,8,5,6,1,7,2]
[6,2,3,8,1,5,7,4]=>[4,7,5,1,8,3,2,6]
[6,2,3,5,7,4,8,1]=>[1,8,4,7,5,3,2,6]
[6,4,7,5,3,8,2,1]=>[1,2,8,3,5,7,4,6]
[2,5,7,4,8,3,6,1]=>[1,6,3,8,4,7,5,2]
[8,5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5,8]
[6,3,1,5,8,2,7,4]=>[4,7,2,8,5,1,3,6]
[5,6,1,7,3,4,8,2]=>[2,8,4,3,7,1,6,5]
[4,8,5,6,7,1,3,2]=>[2,3,1,7,6,5,8,4]
[5,1,2,6,8,7,4,3]=>[3,4,7,8,6,2,1,5]
[1,3,4,6,8,2,7,5]=>[5,7,2,8,6,4,3,1]
[4,2,8,7,5,6,3,1]=>[1,3,6,5,7,8,2,4]
[5,1,7,2,6,8,4,3]=>[3,4,8,6,2,7,1,5]
[8,1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1,8]
[6,5,1,8,2,4,7,3]=>[3,7,4,2,8,1,5,6]
[4,3,7,1,2,8,5,6]=>[6,5,8,2,1,7,3,4]
[2,6,7,3,8,4,5,1]=>[1,5,4,8,3,7,6,2]
[2,7,6,4,3,8,5,1]=>[1,5,8,3,4,6,7,2]
[5,1,7,4,6,2,3,8]=>[8,3,2,6,4,7,1,5]
[3,8,6,2,7,5,4,1]=>[1,4,5,7,2,6,8,3]
[3,1,7,6,5,2,4,8]=>[8,4,2,5,6,7,1,3]
[4,8,1,6,2,5,3,7]=>[7,3,5,2,6,1,8,4]
[6,8,2,7,5,1,3,4]=>[4,3,1,5,7,2,8,6]
[1,8,4,2,5,7,3,6]=>[6,3,7,5,2,4,8,1]
[5,8,3,1,2,4,6,7]=>[7,6,4,2,1,3,8,5]
[8,5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5,8]
[1,4,8,5,2,3,6,7]=>[7,6,3,2,5,8,4,1]
[1,4,8,5,2,3,7,6]=>[6,7,3,2,5,8,4,1]
[7,2,5,8,1,4,3,6]=>[6,3,4,1,8,5,2,7]
[7,1,4,2,6,8,3,5]=>[5,3,8,6,2,4,1,7]
[1,7,5,8,6,2,3,4]=>[4,3,2,6,8,5,7,1]
[8,4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4,8]
[8,4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4,8]
[1,5,8,7,2,4,3,6]=>[6,3,4,2,7,8,5,1]
[1,5,4,2,8,3,7,6]=>[6,7,3,8,2,4,5,1]
[1,2,8,7,3,5,4,6]=>[6,4,5,3,7,8,2,1]
[8,7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7,8]
[3,7,1,2,6,8,4,5]=>[5,4,8,6,2,1,7,3]
[6,7,4,2,8,1,3,5]=>[5,3,1,8,2,4,7,6]
[4,1,6,8,7,2,3,5]=>[5,3,2,7,8,6,1,4]
[4,1,6,8,2,7,3,5]=>[5,3,7,2,8,6,1,4]
[6,8,3,7,4,1,2,5]=>[5,2,1,4,7,3,8,6]
[1,2,5,7,6,8,3,4]=>[4,3,8,6,7,5,2,1]
[4,7,5,6,2,8,3,1]=>[1,3,8,2,6,5,7,4]
[8,4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4,8]
[6,7,5,2,8,4,3,1]=>[1,3,4,8,2,5,7,6]
[6,8,4,3,2,7,5,1]=>[1,5,7,2,3,4,8,6]
[6,5,1,4,7,8,2,3]=>[3,2,8,7,4,1,5,6]
[2,7,6,3,5,4,8,1]=>[1,8,4,5,3,6,7,2]
[3,8,1,5,7,6,2,4]=>[4,2,6,7,5,1,8,3]
[6,1,7,3,5,8,2,4]=>[4,2,8,5,3,7,1,6]
[7,5,4,1,8,3,6,2]=>[2,6,3,8,1,4,5,7]
[7,1,2,8,4,6,3,5]=>[5,3,6,4,8,2,1,7]
[8,6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6,8]
[8,2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2,8]
[1,3,7,6,4,8,2,5]=>[5,2,8,4,6,7,3,1]
[1,8,6,5,7,2,4,3]=>[3,4,2,7,5,6,8,1]
[2,8,7,6,4,1,5,3]=>[3,5,1,4,6,7,8,2]
[2,6,4,8,7,3,1,5]=>[5,1,3,7,8,4,6,2]
[2,1,8,7,3,5,4,6]=>[6,4,5,3,7,8,1,2]
[3,1,6,5,4,8,7,2]=>[2,7,8,4,5,6,1,3]
[5,4,2,8,7,6,3,1]=>[1,3,6,7,8,2,4,5]
[6,2,5,8,7,4,3,1]=>[1,3,4,7,8,5,2,6]
[6,1,5,8,7,4,3,2]=>[2,3,4,7,8,5,1,6]
[6,1,8,5,7,4,3,2]=>[2,3,4,7,5,8,1,6]
[8,5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5,8]
[8,1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1,8]
[8,5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5,8]
[8,2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2,8]
[8,6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6,8]
[8,1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1,8]
[2,6,7,3,5,8,4,1]=>[1,4,8,5,3,7,6,2]
[2,6,7,3,5,8,1,4]=>[4,1,8,5,3,7,6,2]
[5,3,1,6,4,8,2,7]=>[7,2,8,4,6,1,3,5]
[2,5,6,7,1,4,8,3]=>[3,8,4,1,7,6,5,2]
[2,7,3,5,8,4,6,1]=>[1,6,4,8,5,3,7,2]
[4,7,5,3,2,8,1,6]=>[6,1,8,2,3,5,7,4]
[5,2,3,6,8,4,1,7]=>[7,1,4,8,6,3,2,5]
[4,7,5,2,8,6,1,3]=>[3,1,6,8,2,5,7,4]
[3,7,6,4,8,2,5,1]=>[1,5,2,8,4,6,7,3]
[3,4,2,5,7,1,8,6]=>[6,8,1,7,5,2,4,3]
[5,1,3,6,8,2,4,7]=>[7,4,2,8,6,3,1,5]
[5,1,3,6,8,2,7,4]=>[4,7,2,8,6,3,1,5]
[2,7,6,1,5,4,8,3]=>[3,8,4,5,1,6,7,2]
[3,8,6,7,2,5,4,1]=>[1,4,5,2,7,6,8,3]
[5,8,1,2,7,4,3,6]=>[6,3,4,7,2,1,8,5]
[6,3,1,8,2,4,5,7]=>[7,5,4,2,8,1,3,6]
[7,2,1,4,6,8,5,3]=>[3,5,8,6,4,1,2,7]
[4,6,3,7,8,1,5,2]=>[2,5,1,8,7,3,6,4]
[6,3,1,8,4,5,2,7]=>[7,2,5,4,8,1,3,6]
[4,2,3,6,8,1,7,5]=>[5,7,1,8,6,3,2,4]
[3,6,2,4,8,7,5,1]=>[1,5,7,8,4,2,6,3]
[4,3,2,7,5,8,6,1]=>[1,6,8,5,7,2,3,4]
[7,1,3,5,8,4,6,2]=>[2,6,4,8,5,3,1,7]
[2,1,4,7,5,8,6,3]=>[3,6,8,5,7,4,1,2]
[3,6,8,5,2,1,4,7]=>[7,4,1,2,5,8,6,3]
[7,2,6,4,8,3,5,1]=>[1,5,3,8,4,6,2,7]
[7,6,2,4,8,3,1,5]=>[5,1,3,8,4,2,6,7]
[6,5,8,1,4,3,7,2]=>[2,7,3,4,1,8,5,6]
[8,1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1,8]
[6,3,4,2,7,5,8,1]=>[1,8,5,7,2,4,3,6]
[6,2,7,5,8,3,4,1]=>[1,4,3,8,5,7,2,6]
[4,2,7,5,8,1,6,3]=>[3,6,1,8,5,7,2,4]
[8,3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3,8]
[8,6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6,8]
[6,8,3,1,2,5,4,7]=>[7,4,5,2,1,3,8,6]
[5,8,6,4,7,1,2,3]=>[3,2,1,7,4,6,8,5]
[2,5,1,8,7,3,4,6]=>[6,4,3,7,8,1,5,2]
[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]
[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]
[4,2,6,7,1,5,8,3]=>[3,8,5,1,7,6,2,4]
[1,7,5,6,8,4,2,3]=>[3,2,4,8,6,5,7,1]
[6,3,8,1,7,4,5,2]=>[2,5,4,7,1,8,3,6]
[2,5,7,6,8,4,1,3]=>[3,1,4,8,6,7,5,2]
[7,6,1,4,5,2,8,3]=>[3,8,2,5,4,1,6,7]
[1,4,6,7,2,5,8,3]=>[3,8,5,2,7,6,4,1]
[1,4,7,3,6,8,2,5]=>[5,2,8,6,3,7,4,1]
[3,7,1,4,6,8,2,5]=>[5,2,8,6,4,1,7,3]
[2,4,7,3,6,8,1,5]=>[5,1,8,6,3,7,4,2]
[5,3,7,2,6,8,1,4]=>[4,1,8,6,2,7,3,5]
[7,6,1,5,2,8,3,4]=>[4,3,8,2,5,1,6,7]
[2,1,6,7,4,5,8,3]=>[3,8,5,4,7,6,1,2]
[8,5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5,8]
[2,7,5,6,1,8,4,3]=>[3,4,8,1,6,5,7,2]
[1,2,6,7,4,5,8,3]=>[3,8,5,4,7,6,2,1]
[6,5,2,8,7,1,4,3]=>[3,4,1,7,8,2,5,6]
[3,8,6,5,7,2,1,4]=>[4,1,2,7,5,6,8,3]
[3,8,7,2,5,1,6,4]=>[4,6,1,5,2,7,8,3]
[3,7,1,2,5,6,8,4]=>[4,8,6,5,2,1,7,3]
[2,7,1,4,6,8,3,5]=>[5,3,8,6,4,1,7,2]
[7,2,3,6,8,1,4,5]=>[5,4,1,8,6,3,2,7]
[8,3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3,8]
[2,6,1,3,8,5,4,7]=>[7,4,5,8,3,1,6,2]
[6,4,1,8,3,2,5,7]=>[7,5,2,3,8,1,4,6]
[5,8,1,4,2,7,3,6]=>[6,3,7,2,4,1,8,5]
[5,7,1,4,2,8,3,6]=>[6,3,8,2,4,1,7,5]
[6,1,4,8,3,5,2,7]=>[7,2,5,3,8,4,1,6]
[2,3,8,6,1,5,4,7]=>[7,4,5,1,6,8,3,2]
[7,3,2,1,8,4,6,5]=>[5,6,4,8,1,2,3,7]
[8,3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3,8]
[5,8,7,4,2,3,1,6]=>[6,1,3,2,4,7,8,5]
[2,7,3,8,1,4,5,6]=>[6,5,4,1,8,3,7,2]
[7,3,2,1,6,8,4,5]=>[5,4,8,6,1,2,3,7]
[2,3,1,6,8,7,4,5]=>[5,4,7,8,6,1,3,2]
[6,4,8,2,1,7,3,5]=>[5,3,7,1,2,8,4,6]
[2,3,1,8,7,5,6,4]=>[4,6,5,7,8,1,3,2]
[6,4,1,2,7,8,5,3]=>[3,5,8,7,2,1,4,6]
[6,1,4,3,2,8,7,5]=>[5,7,8,2,3,4,1,6]
[7,1,4,3,2,6,8,5]=>[5,8,6,2,3,4,1,7]
[7,4,8,2,3,6,1,5]=>[5,1,6,3,2,8,4,7]
[1,5,6,7,2,4,3,8]=>[8,3,4,2,7,6,5,1]
[6,8,3,7,1,2,5,4]=>[4,5,2,1,7,3,8,6]
[6,8,2,1,4,7,3,5]=>[5,3,7,4,1,2,8,6]
[2,7,3,5,1,8,6,4]=>[4,6,8,1,5,3,7,2]
[3,7,8,1,6,5,4,2]=>[2,4,5,6,1,8,7,3]
[8,3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3,8]
[1,6,7,5,2,4,3,8]=>[8,3,4,2,5,7,6,1]
[5,7,2,4,1,8,3,6]=>[6,3,8,1,4,2,7,5]
[2,8,6,4,1,5,3,7]=>[7,3,5,1,4,6,8,2]
[1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]
[7,6,1,8,2,4,3,5]=>[5,3,4,2,8,1,6,7]
[6,7,4,5,1,3,8,2]=>[2,8,3,1,5,4,7,6]
[4,1,3,2,6,8,5,7]=>[7,5,8,6,2,3,1,4]
[1,6,5,3,8,2,4,7]=>[7,4,2,8,3,5,6,1]
[7,8,3,2,5,4,1,6]=>[6,1,4,5,2,3,8,7]
[8,7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7,8]
[8,1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1,8]
[5,6,1,2,4,8,3,7]=>[7,3,8,4,2,1,6,5]
[5,1,2,4,6,8,3,7]=>[7,3,8,6,4,2,1,5]
[6,1,2,4,5,8,3,7]=>[7,3,8,5,4,2,1,6]
[8,7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7,8]
[1,4,7,8,6,3,2,5]=>[5,2,3,6,8,7,4,1]
[5,7,1,2,8,4,3,6]=>[6,3,4,8,2,1,7,5]
[3,1,5,7,4,2,8,6]=>[6,8,2,4,7,5,1,3]
[8,5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5,8]
[4,1,8,7,2,5,3,6]=>[6,3,5,2,7,8,1,4]
[7,8,6,1,2,3,5,4]=>[4,5,3,2,1,6,8,7]
[6,8,7,1,2,3,5,4]=>[4,5,3,2,1,7,8,6]
[2,6,3,8,4,1,7,5]=>[5,7,1,4,8,3,6,2]
[1,6,3,7,4,8,2,5]=>[5,2,8,4,7,3,6,1]
[2,7,3,1,6,4,8,5]=>[5,8,4,6,1,3,7,2]
[4,8,5,1,3,2,7,6]=>[6,7,2,3,1,5,8,4]
[2,7,1,6,8,3,4,5]=>[5,4,3,8,6,1,7,2]
[8,7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7,8]
[3,2,4,7,6,1,8,5]=>[5,8,1,6,7,4,2,3]
[2,8,1,6,7,3,4,5]=>[5,4,3,7,6,1,8,2]
[3,2,4,6,1,8,7,5]=>[5,7,8,1,6,4,2,3]
[7,1,8,3,6,5,2,4]=>[4,2,5,6,3,8,1,7]
[3,6,7,4,1,2,5,8]=>[8,5,2,1,4,7,6,3]
[7,4,3,8,5,1,6,2]=>[2,6,1,5,8,3,4,7]
[1,4,3,6,2,8,7,5]=>[5,7,8,2,6,3,4,1]
[2,4,8,5,3,6,1,7]=>[7,1,6,3,5,8,4,2]
[2,5,4,8,7,1,3,6]=>[6,3,1,7,8,4,5,2]
[2,8,1,4,7,6,3,5]=>[5,3,6,7,4,1,8,2]
[4,6,8,5,2,1,3,7]=>[7,3,1,2,5,8,6,4]
[5,3,7,6,8,1,4,2]=>[2,4,1,8,6,7,3,5]
[5,3,6,7,2,1,4,8]=>[8,4,1,2,7,6,3,5]
[6,1,5,7,2,8,4,3]=>[3,4,8,2,7,5,1,6]
[1,4,7,5,8,2,3,6]=>[6,3,2,8,5,7,4,1]
[2,6,8,1,7,4,3,5]=>[5,3,4,7,1,8,6,2]
[1,6,8,4,7,3,2,5]=>[5,2,3,7,4,8,6,1]
[3,6,7,5,4,8,1,2]=>[2,1,8,4,5,7,6,3]
[4,5,7,2,6,3,8,1]=>[1,8,3,6,2,7,5,4]
[6,7,5,4,2,8,1,3]=>[3,1,8,2,4,5,7,6]
[5,4,1,7,8,6,3,2]=>[2,3,6,8,7,1,4,5]
[7,1,5,6,8,3,2,4]=>[4,2,3,8,6,5,1,7]
[7,5,6,4,1,8,2,3]=>[3,2,8,1,4,6,5,7]
[2,3,6,8,5,7,4,1]=>[1,4,7,5,8,6,3,2]
[8,4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4,8]
[2,1,5,7,4,6,8,3]=>[3,8,6,4,7,5,1,2]
[5,7,4,6,8,2,1,3]=>[3,1,2,8,6,4,7,5]
[5,7,1,2,3,6,8,4]=>[4,8,6,3,2,1,7,5]
[2,3,5,7,8,1,6,4]=>[4,6,1,8,7,5,3,2]
[8,2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2,8]
[1,5,7,4,2,3,6,8]=>[8,6,3,2,4,7,5,1]
[2,4,7,5,1,3,6,8]=>[8,6,3,1,5,7,4,2]
[2,4,7,5,3,6,8,1]=>[1,8,6,3,5,7,4,2]
[4,7,1,3,6,2,5,8]=>[8,5,2,6,3,1,7,4]
[1,5,2,4,7,3,6,8]=>[8,6,3,7,4,2,5,1]
[8,1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1,8]
[2,5,8,1,4,7,3,6]=>[6,3,7,4,1,8,5,2]
[4,7,1,2,5,8,3,6]=>[6,3,8,5,2,1,7,4]
[2,3,6,8,5,7,1,4]=>[4,1,7,5,8,6,3,2]
[1,2,4,7,8,6,3,5]=>[5,3,6,8,7,4,2,1]
[2,3,5,7,8,4,1,6]=>[6,1,4,8,7,5,3,2]
[2,4,7,8,3,5,1,6]=>[6,1,5,3,8,7,4,2]
[1,3,6,2,5,8,4,7]=>[7,4,8,5,2,6,3,1]
[3,6,2,5,8,4,7,1]=>[1,7,4,8,5,2,6,3]
[2,5,8,3,6,4,7,1]=>[1,7,4,6,3,8,5,2]
[2,5,8,1,3,6,4,7]=>[7,4,6,3,1,8,5,2]
[1,5,3,6,8,2,4,7]=>[7,4,2,8,6,3,5,1]
[3,5,2,4,7,8,1,6]=>[6,1,8,7,4,2,5,3]
[4,8,1,2,6,3,7,5]=>[5,7,3,6,2,1,8,4]
[5,8,1,2,6,3,7,4]=>[4,7,3,6,2,1,8,5]
[1,6,2,3,7,5,8,4]=>[4,8,5,7,3,2,6,1]
[4,1,2,6,5,7,8,3]=>[3,8,7,5,6,2,1,4]
[1,8,4,2,7,3,6,5]=>[5,6,3,7,2,4,8,1]
[1,7,5,2,3,8,6,4]=>[4,6,8,3,2,5,7,1]
[8,1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1,8]
[8,4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4,8]
[2,6,1,8,3,7,4,5]=>[5,4,7,3,8,1,6,2]
[8,4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4,8]
[2,5,1,7,6,8,3,4]=>[4,3,8,6,7,1,5,2]
[5,3,1,8,2,4,7,6]=>[6,7,4,2,8,1,3,5]
[1,2,6,3,7,5,8,4]=>[4,8,5,7,3,6,2,1]
[5,1,8,3,2,4,7,6]=>[6,7,4,2,3,8,1,5]
[3,1,5,4,6,7,8,2]=>[2,8,7,6,4,5,1,3]
[2,8,5,7,3,1,4,6]=>[6,4,1,3,7,5,8,2]
[2,6,8,7,3,1,4,5]=>[5,4,1,3,7,8,6,2]
[7,4,2,1,3,8,5,6]=>[6,5,8,3,1,2,4,7]
[7,2,1,3,8,5,4,6]=>[6,4,5,8,3,1,2,7]
[2,1,7,3,8,6,4,5]=>[5,4,6,8,3,7,1,2]
[1,7,5,3,2,4,8,6]=>[6,8,4,2,3,5,7,1]
[1,4,2,7,6,5,8,3]=>[3,8,5,6,7,2,4,1]
[3,4,1,6,5,7,8,2]=>[2,8,7,5,6,1,4,3]
[2,8,7,3,4,1,5,6]=>[6,5,1,4,3,7,8,2]
[5,7,6,2,3,8,1,4]=>[4,1,8,3,2,6,7,5]
[4,5,7,6,2,8,1,3]=>[3,1,8,2,6,7,5,4]
[3,1,8,7,5,2,6,4]=>[4,6,2,5,7,8,1,3]
[4,5,6,8,7,2,1,3]=>[3,1,2,7,8,6,5,4]
[2,8,3,1,5,4,7,6]=>[6,7,4,5,1,3,8,2]
[4,8,2,1,5,3,7,6]=>[6,7,3,5,1,2,8,4]
[5,8,2,1,4,3,7,6]=>[6,7,3,4,1,2,8,5]
[5,8,3,1,4,2,7,6]=>[6,7,2,4,1,3,8,5]
[3,8,4,1,5,2,7,6]=>[6,7,2,5,1,4,8,3]
[3,8,5,1,4,2,7,6]=>[6,7,2,4,1,5,8,3]
[4,1,5,8,3,2,7,6]=>[6,7,2,3,8,5,1,4]
[4,1,7,8,3,2,6,5]=>[5,6,2,3,8,7,1,4]
[5,1,7,8,3,2,6,4]=>[4,6,2,3,8,7,1,5]
[1,8,6,2,4,3,7,5]=>[5,7,3,4,2,6,8,1]
[1,8,7,2,4,3,6,5]=>[5,6,3,4,2,7,8,1]
[1,8,6,2,5,3,7,4]=>[4,7,3,5,2,6,8,1]
[3,8,4,1,6,2,7,5]=>[5,7,2,6,1,4,8,3]
[4,8,3,1,6,2,7,5]=>[5,7,2,6,1,3,8,4]
[5,8,2,1,6,3,7,4]=>[4,7,3,6,1,2,8,5]
[3,8,2,1,6,4,7,5]=>[5,7,4,6,1,2,8,3]
[2,8,3,1,6,4,7,5]=>[5,7,4,6,1,3,8,2]
[2,8,3,1,7,4,6,5]=>[5,6,4,7,1,3,8,2]
[4,8,2,1,7,3,6,5]=>[5,6,3,7,1,2,8,4]
[7,3,6,8,2,1,5,4]=>[4,5,1,2,8,6,3,7]
[7,2,6,8,3,1,5,4]=>[4,5,1,3,8,6,2,7]
[5,8,3,1,7,2,6,4]=>[4,6,2,7,1,3,8,5]
[3,8,5,1,7,2,6,4]=>[4,6,2,7,1,5,8,3]
[7,2,6,1,5,8,4,3]=>[3,4,8,5,1,6,2,7]
[1,8,6,3,7,2,5,4]=>[4,5,2,7,3,6,8,1]
[6,2,7,1,5,8,4,3]=>[3,4,8,5,1,7,2,6]
[3,6,7,2,5,4,8,1]=>[1,8,4,5,2,7,6,3]
[4,8,5,1,3,2,6,7]=>[7,6,2,3,1,5,8,4]
[5,4,3,1,2,7,6,8]=>[8,6,7,2,1,3,4,5]
[4,1,6,5,2,3,7,8]=>[8,7,3,2,5,6,1,4]
[7,1,5,2,3,6,4,8]=>[8,4,6,3,2,5,1,7]
[4,1,6,3,7,2,5,8]=>[8,5,2,7,3,6,1,4]
[4,6,1,2,8,3,7,5]=>[5,7,3,8,2,1,6,4]
[4,1,3,6,7,2,5,8]=>[8,5,2,7,6,3,1,4]
[2,6,5,1,3,4,7,8]=>[8,7,4,3,1,5,6,2]
[2,6,7,4,3,1,5,8]=>[8,5,1,3,4,7,6,2]
[2,6,3,1,7,4,5,8]=>[8,5,4,7,1,3,6,2]
[6,5,3,7,2,4,1,8]=>[8,1,4,2,7,3,5,6]
[2,3,6,7,1,5,4,8]=>[8,4,5,1,7,6,3,2]
[2,7,5,8,1,3,6,4]=>[4,6,3,1,8,5,7,2]
[5,1,6,7,3,2,4,8]=>[8,4,2,3,7,6,1,5]
[5,6,1,4,7,2,3,8]=>[8,3,2,7,4,1,6,5]
[1,2,5,7,8,6,3,4]=>[4,3,6,8,7,5,2,1]
[1,2,5,8,6,4,3,7]=>[7,3,4,6,8,5,2,1]
[1,8,2,3,5,7,6,4]=>[4,6,7,5,3,2,8,1]
[1,2,6,7,4,5,3,8]=>[8,3,5,4,7,6,2,1]
[1,7,2,6,8,5,3,4]=>[4,3,5,8,6,2,7,1]
[1,2,7,8,4,6,3,5]=>[5,3,6,4,8,7,2,1]
[1,8,5,6,3,2,4,7]=>[7,4,2,3,6,5,8,1]
[1,8,3,6,4,2,5,7]=>[7,5,2,4,6,3,8,1]
[7,4,2,6,5,8,1,3]=>[3,1,8,5,6,2,4,7]
[7,3,6,1,5,4,8,2]=>[2,8,4,5,1,6,3,7]
[3,2,6,7,1,4,8,5]=>[5,8,4,1,7,6,2,3]
[8,6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6,8]
[5,7,3,2,1,8,4,6]=>[6,4,8,1,2,3,7,5]
[7,6,8,2,1,5,4,3]=>[3,4,5,1,2,8,6,7]
[3,8,1,6,4,7,5,2]=>[2,5,7,4,6,1,8,3]
[6,8,3,1,7,4,5,2]=>[2,5,4,7,1,3,8,6]
[4,3,8,6,7,1,5,2]=>[2,5,1,7,6,8,3,4]
[3,4,1,8,6,2,5,7]=>[7,5,2,6,8,1,4,3]
[7,4,1,8,5,3,2,6]=>[6,2,3,5,8,1,4,7]
[4,2,5,6,8,1,3,7]=>[7,3,1,8,6,5,2,4]
[8,3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3,8]
[7,3,2,8,6,1,5,4]=>[4,5,1,6,8,2,3,7]
[7,5,8,2,6,1,4,3]=>[3,4,1,6,2,8,5,7]
[5,1,8,7,6,3,2,4]=>[4,2,3,6,7,8,1,5]
[4,6,8,7,3,5,1,2]=>[2,1,5,3,7,8,6,4]
[5,6,8,2,7,4,1,3]=>[3,1,4,7,2,8,6,5]
[6,2,5,4,1,3,8,7]=>[7,8,3,1,4,5,2,6]
[5,2,1,4,6,3,8,7]=>[7,8,3,6,4,1,2,5]
[6,4,1,2,3,5,8,7]=>[7,8,5,3,2,1,4,6]
[7,4,1,2,6,5,8,3]=>[3,8,5,6,2,1,4,7]
[5,2,7,4,6,1,8,3]=>[3,8,1,6,4,7,2,5]
[4,2,7,1,6,5,8,3]=>[3,8,5,6,1,7,2,4]
[8,2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2,8]
[5,2,8,4,7,6,3,1]=>[1,3,6,7,4,8,2,5]
[7,4,1,2,3,6,8,5]=>[5,8,6,3,2,1,4,7]
[6,2,1,4,7,3,8,5]=>[5,8,3,7,4,1,2,6]
[3,6,8,4,2,5,1,7]=>[7,1,5,2,4,8,6,3]
[8,5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5,8]
[5,4,8,6,3,2,1,7]=>[7,1,2,3,6,8,4,5]
[7,2,5,6,8,4,3,1]=>[1,3,4,8,6,5,2,7]
[8,4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4,8]
[7,6,8,3,4,1,5,2]=>[2,5,1,4,3,8,6,7]
[4,6,8,5,1,2,7,3]=>[3,7,2,1,5,8,6,4]
[2,5,1,8,4,6,3,7]=>[7,3,6,4,8,1,5,2]
[7,2,4,6,3,5,8,1]=>[1,8,5,3,6,4,2,7]
[5,2,3,1,7,6,4,8]=>[8,4,6,7,1,3,2,5]
[3,7,2,4,1,8,5,6]=>[6,5,8,1,4,2,7,3]
[6,7,3,4,1,8,5,2]=>[2,5,8,1,4,3,7,6]
[2,6,3,1,8,4,7,5]=>[5,7,4,8,1,3,6,2]
[3,6,2,8,4,1,7,5]=>[5,7,1,4,8,2,6,3]
[4,5,3,8,7,2,1,6]=>[6,1,2,7,8,3,5,4]
[4,1,3,6,8,5,2,7]=>[7,2,5,8,6,3,1,4]
[6,2,5,7,4,8,1,3]=>[3,1,8,4,7,5,2,6]
[6,3,5,7,1,2,8,4]=>[4,8,2,1,7,5,3,6]
[5,2,4,6,1,8,3,7]=>[7,3,8,1,6,4,2,5]
[5,4,6,1,2,7,8,3]=>[3,8,7,2,1,6,4,5]
[4,5,3,6,1,7,8,2]=>[2,8,7,1,6,3,5,4]
[2,5,3,1,6,7,8,4]=>[4,8,7,6,1,3,5,2]
[3,1,7,4,5,8,2,6]=>[6,2,8,5,4,7,1,3]
[3,1,8,4,2,7,5,6]=>[6,5,7,2,4,8,1,3]
[4,5,2,1,7,8,6,3]=>[3,6,8,7,1,2,5,4]
[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]
[1,6,7,3,4,2,5,8]=>[8,5,2,4,3,7,6,1]
[1,6,8,3,4,2,5,7]=>[7,5,2,4,3,8,6,1]
[1,8,7,5,3,4,2,6]=>[6,2,4,3,5,7,8,1]
[1,7,8,5,3,4,2,6]=>[6,2,4,3,5,8,7,1]
[1,7,6,8,4,2,3,5]=>[5,3,2,4,8,6,7,1]
[1,7,8,6,4,3,2,5]=>[5,2,3,4,6,8,7,1]
[2,4,8,5,7,1,6,3]=>[3,6,1,7,5,8,4,2]
[2,3,8,7,1,5,6,4]=>[4,6,5,1,7,8,3,2]
[7,2,8,6,4,1,5,3]=>[3,5,1,4,6,8,2,7]
[5,1,7,8,4,2,3,6]=>[6,3,2,4,8,7,1,5]
[3,1,4,2,7,6,5,8]=>[8,5,6,7,2,4,1,3]
[3,8,2,1,6,7,5,4]=>[4,5,7,6,1,2,8,3]
[2,8,3,1,7,5,6,4]=>[4,6,5,7,1,3,8,2]
[7,2,3,1,6,5,8,4]=>[4,8,5,6,1,3,2,7]
[7,6,2,5,4,1,8,3]=>[3,8,1,4,5,2,6,7]
[1,6,4,3,2,7,5,8]=>[8,5,7,2,3,4,6,1]
[3,8,7,1,2,6,4,5]=>[5,4,6,2,1,7,8,3]
[2,8,7,1,3,4,6,5]=>[5,6,4,3,1,7,8,2]
[6,5,4,1,8,2,3,7]=>[7,3,2,8,1,4,5,6]
[8,2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2,8]
[8,5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5,8]
[7,8,3,2,5,1,6,4]=>[4,6,1,5,2,3,8,7]
[7,8,2,4,5,6,3,1]=>[1,3,6,5,4,2,8,7]
[6,4,1,5,3,7,2,8]=>[8,2,7,3,5,1,4,6]
[2,7,4,1,5,8,3,6]=>[6,3,8,5,1,4,7,2]
[2,1,6,4,7,8,3,5]=>[5,3,8,7,4,6,1,2]
[5,4,2,6,7,8,3,1]=>[1,3,8,7,6,2,4,5]
[6,3,7,4,2,1,5,8]=>[8,5,1,2,4,7,3,6]
[5,7,8,3,4,2,1,6]=>[6,1,2,4,3,8,7,5]
[4,7,5,3,8,2,6,1]=>[1,6,2,8,3,5,7,4]
[4,6,3,2,7,1,8,5]=>[5,8,1,7,2,3,6,4]
[2,6,4,7,8,5,3,1]=>[1,3,5,8,7,4,6,2]
[7,8,3,5,2,6,4,1]=>[1,4,6,2,5,3,8,7]
[1,6,8,4,5,7,2,3]=>[3,2,7,5,4,8,6,1]
[7,8,4,5,6,1,3,2]=>[2,3,1,6,5,4,8,7]
[1,6,8,4,5,7,3,2]=>[2,3,7,5,4,8,6,1]
[6,1,3,8,4,5,7,2]=>[2,7,5,4,8,3,1,6]
[2,5,1,8,4,6,7,3]=>[3,7,6,4,8,1,5,2]
[1,2,5,8,4,6,7,3]=>[3,7,6,4,8,5,2,1]
[5,3,4,8,2,1,6,7]=>[7,6,1,2,8,4,3,5]
[5,2,8,4,6,7,1,3]=>[3,1,7,6,4,8,2,5]
[1,5,3,8,4,6,7,2]=>[2,7,6,4,8,3,5,1]
[5,4,1,8,3,6,2,7]=>[7,2,6,3,8,1,4,5]
[5,2,8,1,4,6,3,7]=>[7,3,6,4,1,8,2,5]
[6,5,8,3,4,2,1,7]=>[7,1,2,4,3,8,5,6]
[1,3,5,8,4,6,7,2]=>[2,7,6,4,8,5,3,1]
[3,1,5,8,4,6,7,2]=>[2,7,6,4,8,5,1,3]
[3,2,5,8,4,6,7,1]=>[1,7,6,4,8,5,2,3]
[3,4,5,8,2,1,6,7]=>[7,6,1,2,8,5,4,3]
[8,2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2,8]
[6,8,7,3,2,1,4,5]=>[5,4,1,2,3,7,8,6]
[3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]
[7,2,6,1,4,8,3,5]=>[5,3,8,4,1,6,2,7]
[7,8,1,2,4,6,3,5]=>[5,3,6,4,2,1,8,7]
[7,2,8,3,4,5,1,6]=>[6,1,5,4,3,8,2,7]
[6,1,8,3,4,2,5,7]=>[7,5,2,4,3,8,1,6]
[7,5,1,2,4,3,8,6]=>[6,8,3,4,2,1,5,7]
[7,6,8,1,4,2,3,5]=>[5,3,2,4,1,8,6,7]
[7,1,5,2,4,8,6,3]=>[3,6,8,4,2,5,1,7]
[3,1,6,2,5,8,7,4]=>[4,7,8,5,2,6,1,3]
[2,8,5,3,7,4,6,1]=>[1,6,4,7,3,5,8,2]
[5,4,1,7,2,3,6,8]=>[8,6,3,2,7,1,4,5]
[2,8,6,7,3,4,5,1]=>[1,5,4,3,7,6,8,2]
[2,7,6,8,3,4,5,1]=>[1,5,4,3,8,6,7,2]
[2,6,7,8,3,4,5,1]=>[1,5,4,3,8,7,6,2]
[2,4,3,7,8,5,6,1]=>[1,6,5,8,7,3,4,2]
[5,1,8,7,2,4,6,3]=>[3,6,4,2,7,8,1,5]
[3,8,1,2,7,4,6,5]=>[5,6,4,7,2,1,8,3]
[4,8,7,1,2,3,5,6]=>[6,5,3,2,1,7,8,4]
[2,7,8,6,3,4,5,1]=>[1,5,4,3,6,8,7,2]
[2,1,7,6,3,4,5,8]=>[8,5,4,3,6,7,1,2]
[6,3,5,2,1,8,4,7]=>[7,4,8,1,2,5,3,6]
[6,1,5,3,8,2,4,7]=>[7,4,2,8,3,5,1,6]
[2,3,6,8,5,1,7,4]=>[4,7,1,5,8,6,3,2]
[3,2,4,8,6,1,7,5]=>[5,7,1,6,8,4,2,3]
[2,1,3,8,4,5,7,6]=>[6,7,5,4,8,3,1,2]
[3,1,2,8,6,7,4,5]=>[5,4,7,6,8,2,1,3]
[1,4,5,2,3,8,7,6]=>[6,7,8,3,2,5,4,1]
[4,2,1,5,3,6,8,7]=>[7,8,6,3,5,1,2,4]
[2,1,6,3,8,7,4,5]=>[5,4,7,8,3,6,1,2]
[3,1,2,8,5,4,7,6]=>[6,7,4,5,8,2,1,3]
[2,1,3,7,8,4,6,5]=>[5,6,4,8,7,3,1,2]
[2,1,3,8,4,7,6,5]=>[5,6,7,4,8,3,1,2]
[3,1,2,8,4,5,7,6]=>[6,7,5,4,8,2,1,3]
[1,2,8,7,5,4,6,3]=>[3,6,4,5,7,8,2,1]
[4,6,7,2,3,8,1,5]=>[5,1,8,3,2,7,6,4]
[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]
[3,2,6,5,7,8,1,4]=>[4,1,8,7,5,6,2,3]
[7,3,2,4,5,8,1,6]=>[6,1,8,5,4,2,3,7]
[3,2,7,5,6,8,1,4]=>[4,1,8,6,5,7,2,3]
[3,1,5,6,8,7,2,4]=>[4,2,7,8,6,5,1,3]
[2,1,5,8,6,7,3,4]=>[4,3,7,6,8,5,1,2]
[3,1,7,5,8,6,2,4]=>[4,2,6,8,5,7,1,3]
[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]
[2,7,1,8,4,3,6,5]=>[5,6,3,4,8,1,7,2]
[2,6,1,8,7,3,4,5]=>[5,4,3,7,8,1,6,2]
[2,7,1,8,6,3,4,5]=>[5,4,3,6,8,1,7,2]
[2,1,8,7,4,6,5,3]=>[3,5,6,4,7,8,1,2]
[7,2,1,8,3,5,4,6]=>[6,4,5,3,8,1,2,7]
[2,7,1,8,3,4,6,5]=>[5,6,4,3,8,1,7,2]
[2,1,7,8,3,5,6,4]=>[4,6,5,3,8,7,1,2]
[2,1,8,7,4,5,6,3]=>[3,6,5,4,7,8,1,2]
[3,7,5,2,6,4,8,1]=>[1,8,4,6,2,5,7,3]
[5,2,7,4,6,3,8,1]=>[1,8,3,6,4,7,2,5]
[6,1,5,8,4,7,3,2]=>[2,3,7,4,8,5,1,6]
[1,4,6,8,5,7,2,3]=>[3,2,7,5,8,6,4,1]
[8,3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3,8]
[2,8,5,1,6,4,3,7]=>[7,3,4,6,1,5,8,2]
[2,4,7,1,8,3,6,5]=>[5,6,3,8,1,7,4,2]
[2,5,8,3,7,1,4,6]=>[6,4,1,7,3,8,5,2]
[8,3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3,8]
[4,2,1,7,5,8,6,3]=>[3,6,8,5,7,1,2,4]
[8,5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5,8]
[1,6,8,4,3,5,2,7]=>[7,2,5,3,4,8,6,1]
[6,5,7,1,4,8,2,3]=>[3,2,8,4,1,7,5,6]
[3,7,5,4,2,6,8,1]=>[1,8,6,2,4,5,7,3]
[8,4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4,8]
[4,1,2,7,6,8,5,3]=>[3,5,8,6,7,2,1,4]
[4,8,2,5,6,3,1,7]=>[7,1,3,6,5,2,8,4]
[8,4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4,8]
[6,1,5,4,2,3,8,7]=>[7,8,3,2,4,5,1,6]
[6,4,5,1,2,8,3,7]=>[7,3,8,2,1,5,4,6]
[8,4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4,8]
[8,1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1,8]
[4,6,2,5,3,8,1,7]=>[7,1,8,3,5,2,6,4]
[4,6,5,2,1,8,3,7]=>[7,3,8,1,2,5,6,4]
[5,8,4,3,6,7,2,1]=>[1,2,7,6,3,4,8,5]
[6,8,2,1,5,3,4,7]=>[7,4,3,5,1,2,8,6]
[2,5,3,8,6,7,4,1]=>[1,4,7,6,8,3,5,2]
[3,2,6,5,1,8,4,7]=>[7,4,8,1,5,6,2,3]
[7,4,5,8,1,6,2,3]=>[3,2,6,1,8,5,4,7]
[4,5,8,1,6,7,3,2]=>[2,3,7,6,1,8,5,4]
[5,1,8,4,6,7,3,2]=>[2,3,7,6,4,8,1,5]
[5,4,1,7,2,3,8,6]=>[6,8,3,2,7,1,4,5]
[7,4,3,6,2,8,1,5]=>[5,1,8,2,6,3,4,7]
[8,4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4,8]
[1,7,6,2,3,4,8,5]=>[5,8,4,3,2,6,7,1]
[8,5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5,8]
[3,8,6,7,1,2,4,5]=>[5,4,2,1,7,6,8,3]
[5,3,8,4,7,1,2,6]=>[6,2,1,7,4,8,3,5]
[4,3,6,5,8,1,2,7]=>[7,2,1,8,5,6,3,4]
[5,6,4,2,8,1,3,7]=>[7,3,1,8,2,4,6,5]
[4,5,3,8,1,2,6,7]=>[7,6,2,1,8,3,5,4]
[3,5,4,8,1,2,6,7]=>[7,6,2,1,8,4,5,3]
[6,5,3,8,1,7,2,4]=>[4,2,7,1,8,3,5,6]
[8,3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3,8]
[2,6,8,7,1,3,4,5]=>[5,4,3,1,7,8,6,2]
[4,7,2,8,6,1,3,5]=>[5,3,1,6,8,2,7,4]
[4,2,8,7,6,1,3,5]=>[5,3,1,6,7,8,2,4]
[8,1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1,8]
[8,1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1,8]
[8,6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6,8]
[7,8,1,5,2,6,4,3]=>[3,4,6,2,5,1,8,7]
[8,3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3,8]
[8,7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7,8]
[1,7,2,8,3,4,6,5]=>[5,6,4,3,8,2,7,1]
[7,2,3,6,8,1,5,4]=>[4,5,1,8,6,3,2,7]
[2,6,3,7,8,1,4,5]=>[5,4,1,8,7,3,6,2]
[6,3,8,7,2,1,5,4]=>[4,5,1,2,7,8,3,6]
[7,2,5,6,3,4,8,1]=>[1,8,4,3,6,5,2,7]
[7,2,8,6,3,1,5,4]=>[4,5,1,3,6,8,2,7]
[7,2,4,5,8,6,3,1]=>[1,3,6,8,5,4,2,7]
[6,3,8,4,7,2,5,1]=>[1,5,2,7,4,8,3,6]
[7,2,3,6,8,5,4,1]=>[1,4,5,8,6,3,2,7]
[7,2,8,5,4,1,3,6]=>[6,3,1,4,5,8,2,7]
[7,4,5,2,8,1,6,3]=>[3,6,1,8,2,5,4,7]
[7,5,4,2,8,1,6,3]=>[3,6,1,8,2,4,5,7]
[7,6,3,2,8,4,5,1]=>[1,5,4,8,2,3,6,7]
[7,2,3,6,8,4,5,1]=>[1,5,4,8,6,3,2,7]
[7,2,5,4,8,3,6,1]=>[1,6,3,8,4,5,2,7]
[7,2,8,3,6,1,4,5]=>[5,4,1,6,3,8,2,7]
[7,4,5,2,8,3,6,1]=>[1,6,3,8,2,5,4,7]
[3,1,6,7,4,5,2,8]=>[8,2,5,4,7,6,1,3]
[3,1,5,4,7,6,2,8]=>[8,2,6,7,4,5,1,3]
[7,3,6,8,2,4,5,1]=>[1,5,4,2,8,6,3,7]
[5,1,3,2,4,6,8,7]=>[7,8,6,4,2,3,1,5]
[8,4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4,8]
[6,4,2,5,7,3,8,1]=>[1,8,3,7,5,2,4,6]
[5,7,8,4,2,3,6,1]=>[1,6,3,2,4,8,7,5]
[6,4,5,2,8,3,7,1]=>[1,7,3,8,2,5,4,6]
[6,5,2,4,3,8,7,1]=>[1,7,8,3,4,2,5,6]
[6,5,3,4,1,8,2,7]=>[7,2,8,1,4,3,5,6]
[6,4,5,3,8,1,2,7]=>[7,2,1,8,3,5,4,6]
[5,6,4,8,3,1,2,7]=>[7,2,1,3,8,4,6,5]
[6,3,4,7,5,2,8,1]=>[1,8,2,5,7,4,3,6]
[7,2,6,3,4,8,5,1]=>[1,5,8,4,3,6,2,7]
[7,3,2,6,4,8,5,1]=>[1,5,8,4,6,2,3,7]
[4,7,2,6,5,3,8,1]=>[1,8,3,5,6,2,7,4]
[7,2,4,6,3,8,5,1]=>[1,5,8,3,6,4,2,7]
[8,1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1,8]
[2,8,3,7,6,1,5,4]=>[4,5,1,6,7,3,8,2]
[2,8,7,3,1,6,5,4]=>[4,5,6,1,3,7,8,2]
[5,4,2,6,8,7,3,1]=>[1,3,7,8,6,2,4,5]
[3,7,2,5,8,6,4,1]=>[1,4,6,8,5,2,7,3]
[7,2,3,5,8,6,4,1]=>[1,4,6,8,5,3,2,7]
[4,6,5,3,8,1,7,2]=>[2,7,1,8,3,5,6,4]
[6,3,4,8,1,7,5,2]=>[2,5,7,1,8,4,3,6]
[7,2,3,8,4,6,5,1]=>[1,5,6,4,8,3,2,7]
[2,4,8,7,6,1,5,3]=>[3,5,1,6,7,8,4,2]
[8,3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3,8]
[3,2,8,7,4,6,5,1]=>[1,5,6,4,7,8,2,3]
[5,4,2,8,3,7,6,1]=>[1,6,7,3,8,2,4,5]
[3,8,1,7,4,6,5,2]=>[2,5,6,4,7,1,8,3]
[8,6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6,8]
[8,2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2,8]
[8,2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2,8]
[8,6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6,8]
[4,8,5,2,7,6,3,1]=>[1,3,6,7,2,5,8,4]
[5,8,6,2,7,1,3,4]=>[4,3,1,7,2,6,8,5]
[4,7,8,6,5,2,1,3]=>[3,1,2,5,6,8,7,4]
[3,8,2,7,4,1,6,5]=>[5,6,1,4,7,2,8,3]
[2,8,6,5,7,1,3,4]=>[4,3,1,7,5,6,8,2]
[3,7,8,6,2,5,4,1]=>[1,4,5,2,6,8,7,3]
[1,4,8,6,2,5,7,3]=>[3,7,5,2,6,8,4,1]
[3,8,4,7,2,1,6,5]=>[5,6,1,2,7,4,8,3]
[6,8,7,2,4,1,3,5]=>[5,3,1,4,2,7,8,6]
[3,4,8,6,2,5,1,7]=>[7,1,5,2,6,8,4,3]
[7,3,8,6,2,5,4,1]=>[1,4,5,2,6,8,3,7]
[5,3,8,1,6,4,7,2]=>[2,7,4,6,1,8,3,5]
[3,5,8,1,6,4,7,2]=>[2,7,4,6,1,8,5,3]
[4,8,5,1,7,6,3,2]=>[2,3,6,7,1,5,8,4]
[5,8,1,7,6,2,3,4]=>[4,3,2,6,7,1,8,5]
[3,1,8,5,6,4,7,2]=>[2,7,4,6,5,8,1,3]
[2,3,8,6,4,5,1,7]=>[7,1,5,4,6,8,3,2]
[1,4,8,6,5,2,3,7]=>[7,3,2,5,6,8,4,1]
[7,6,2,8,5,4,3,1]=>[1,3,4,5,8,2,6,7]
[3,4,6,2,5,7,1,8]=>[8,1,7,5,2,6,4,3]
[1,7,5,2,6,8,3,4]=>[4,3,8,6,2,5,7,1]
[3,5,7,1,6,2,4,8]=>[8,4,2,6,1,7,5,3]
[4,6,8,7,1,2,3,5]=>[5,3,2,1,7,8,6,4]
[7,8,6,1,2,4,3,5]=>[5,3,4,2,1,6,8,7]
[4,5,6,1,3,8,7,2]=>[2,7,8,3,1,6,5,4]
[2,3,7,8,6,5,1,4]=>[4,1,5,6,8,7,3,2]
[1,7,4,8,2,6,3,5]=>[5,3,6,2,8,4,7,1]
[5,1,7,2,4,6,3,8]=>[8,3,6,4,2,7,1,5]
[7,1,5,6,2,8,3,4]=>[4,3,8,2,6,5,1,7]
[7,3,2,1,4,8,5,6]=>[6,5,8,4,1,2,3,7]
[6,8,2,1,3,4,7,5]=>[5,7,4,3,1,2,8,6]
[5,2,1,7,6,4,3,8]=>[8,3,4,6,7,1,2,5]
[7,4,8,3,6,5,1,2]=>[2,1,5,6,3,8,4,7]
[6,4,8,5,1,7,2,3]=>[3,2,7,1,5,8,4,6]
[5,2,8,1,3,6,7,4]=>[4,7,6,3,1,8,2,5]
[6,3,2,7,4,5,8,1]=>[1,8,5,4,7,2,3,6]
[7,4,3,8,5,6,1,2]=>[2,1,6,5,8,3,4,7]
[6,2,1,8,7,4,5,3]=>[3,5,4,7,8,1,2,6]
[6,2,1,8,7,3,5,4]=>[4,5,3,7,8,1,2,6]
[5,2,1,7,6,3,4,8]=>[8,4,3,6,7,1,2,5]
[4,2,6,8,5,7,1,3]=>[3,1,7,5,8,6,2,4]
[8,6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6,8]
[6,8,3,2,1,7,5,4]=>[4,5,7,1,2,3,8,6]
[5,1,8,6,2,4,7,3]=>[3,7,4,2,6,8,1,5]
[1,3,4,7,8,2,6,5]=>[5,6,2,8,7,4,3,1]
[1,5,4,3,8,7,2,6]=>[6,2,7,8,3,4,5,1]
[1,2,5,8,4,3,6,7]=>[7,6,3,4,8,5,2,1]
[1,5,8,2,6,4,3,7]=>[7,3,4,6,2,8,5,1]
[3,5,6,2,4,7,8,1]=>[1,8,7,4,2,6,5,3]
[3,5,6,7,2,4,8,1]=>[1,8,4,2,7,6,5,3]
[3,5,7,6,8,2,4,1]=>[1,4,2,8,6,7,5,3]
[3,5,7,2,6,8,4,1]=>[1,4,8,6,2,7,5,3]
[3,5,2,7,6,8,4,1]=>[1,4,8,6,7,2,5,3]
[3,5,7,4,2,6,8,1]=>[1,8,6,2,4,7,5,3]
[3,5,4,7,2,6,8,1]=>[1,8,6,2,7,4,5,3]
[3,4,5,7,2,6,8,1]=>[1,8,6,2,7,5,4,3]
[3,4,5,7,2,8,6,1]=>[1,6,8,2,7,5,4,3]
[3,5,4,7,8,2,6,1]=>[1,6,2,8,7,4,5,3]
[3,5,4,7,2,8,6,1]=>[1,6,8,2,7,4,5,3]
[3,2,5,7,4,8,6,1]=>[1,6,8,4,7,5,2,3]
[3,5,7,4,2,8,6,1]=>[1,6,8,2,4,7,5,3]
[3,5,7,8,4,2,6,1]=>[1,6,2,4,8,7,5,3]
[2,3,5,7,8,4,6,1]=>[1,6,4,8,7,5,3,2]
[3,5,2,7,8,6,4,1]=>[1,4,6,8,7,2,5,3]
[3,5,7,8,2,6,4,1]=>[1,4,6,2,8,7,5,3]
[3,5,7,8,6,2,4,1]=>[1,4,2,6,8,7,5,3]
[4,2,5,6,7,3,8,1]=>[1,8,3,7,6,5,2,4]
[8,6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6,8]
[6,1,8,4,3,5,2,7]=>[7,2,5,3,4,8,1,6]
[5,1,6,4,8,2,3,7]=>[7,3,2,8,4,6,1,5]
[8,1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1,8]
[2,8,4,1,5,3,6,7]=>[7,6,3,5,1,4,8,2]
[8,4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4,8]
[4,1,8,3,5,2,6,7]=>[7,6,2,5,3,8,1,4]
[8,3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3,8]
[3,1,8,2,5,4,6,7]=>[7,6,4,5,2,8,1,3]
[4,2,5,1,8,7,6,3]=>[3,6,7,8,1,5,2,4]
[5,2,4,8,1,7,6,3]=>[3,6,7,1,8,4,2,5]
[7,3,2,4,6,8,1,5]=>[5,1,8,6,4,2,3,7]
[1,4,8,6,7,2,5,3]=>[3,5,2,7,6,8,4,1]
[1,4,5,7,3,8,2,6]=>[6,2,8,3,7,5,4,1]
[4,6,8,1,2,5,3,7]=>[7,3,5,2,1,8,6,4]
[3,5,6,8,2,1,4,7]=>[7,4,1,2,8,6,5,3]
[8,2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2,8]
[2,4,5,8,6,3,1,7]=>[7,1,3,6,8,5,4,2]
[5,4,8,2,3,1,7,6]=>[6,7,1,3,2,8,4,5]
[4,7,5,8,2,3,1,6]=>[6,1,3,2,8,5,7,4]
[4,6,7,5,1,8,3,2]=>[2,3,8,1,5,7,6,4]
[1,7,3,6,5,8,2,4]=>[4,2,8,5,6,3,7,1]
[8,3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3,8]
[7,5,3,8,6,2,1,4]=>[4,1,2,6,8,3,5,7]
[7,3,1,8,2,6,5,4]=>[4,5,6,2,8,1,3,7]
[4,6,7,5,2,8,3,1]=>[1,3,8,2,5,7,6,4]
[5,8,7,2,4,3,1,6]=>[6,1,3,4,2,7,8,5]
[5,1,2,8,6,7,3,4]=>[4,3,7,6,8,2,1,5]
[2,5,7,8,6,1,4,3]=>[3,4,1,6,8,7,5,2]
[7,2,6,8,4,5,1,3]=>[3,1,5,4,8,6,2,7]
[5,1,7,6,8,2,3,4]=>[4,3,2,8,6,7,1,5]
[5,4,7,1,6,8,2,3]=>[3,2,8,6,1,7,4,5]
[4,3,1,6,5,2,8,7]=>[7,8,2,5,6,1,3,4]
[4,6,7,2,1,5,3,8]=>[8,3,5,1,2,7,6,4]
[8,7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7,8]
[1,7,6,2,4,3,8,5]=>[5,8,3,4,2,6,7,1]
[7,1,6,2,4,5,3,8]=>[8,3,5,4,2,6,1,7]
[3,6,7,2,1,5,4,8]=>[8,4,5,1,2,7,6,3]
[5,7,1,6,2,3,4,8]=>[8,4,3,2,6,1,7,5]
[4,3,6,7,1,5,2,8]=>[8,2,5,1,7,6,3,4]
[2,3,6,7,4,5,1,8]=>[8,1,5,4,7,6,3,2]
[1,7,4,8,5,3,6,2]=>[2,6,3,5,8,4,7,1]
[8,7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7,8]
[8,2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2,8]
[8,2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2,8]
[6,2,5,8,3,4,1,7]=>[7,1,4,3,8,5,2,6]
[5,6,8,7,1,3,2,4]=>[4,2,3,1,7,8,6,5]
[2,3,8,6,5,1,4,7]=>[7,4,1,5,6,8,3,2]
[6,4,1,3,5,2,8,7]=>[7,8,2,5,3,1,4,6]
[7,6,1,4,5,8,2,3]=>[3,2,8,5,4,1,6,7]
[1,5,3,4,8,2,6,7]=>[7,6,2,8,4,3,5,1]
[8,1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1,8]
[2,1,3,6,5,8,4,7]=>[7,4,8,5,6,3,1,2]
[2,8,6,5,7,4,3,1]=>[1,3,4,7,5,6,8,2]
[2,8,6,5,7,4,1,3]=>[3,1,4,7,5,6,8,2]
[6,5,2,7,4,3,1,8]=>[8,1,3,4,7,2,5,6]
[6,5,2,8,4,3,7,1]=>[1,7,3,4,8,2,5,6]
[7,5,8,3,4,2,1,6]=>[6,1,2,4,3,8,5,7]
[7,6,8,5,2,4,1,3]=>[3,1,4,2,5,8,6,7]
[5,3,7,2,4,1,8,6]=>[6,8,1,4,2,7,3,5]
[5,1,2,8,6,3,7,4]=>[4,7,3,6,8,2,1,5]
[6,1,5,7,2,4,3,8]=>[8,3,4,2,7,5,1,6]
[4,1,8,2,6,5,7,3]=>[3,7,5,6,2,8,1,4]
[6,1,4,7,8,5,3,2]=>[2,3,5,8,7,4,1,6]
[6,1,5,7,8,4,2,3]=>[3,2,4,8,7,5,1,6]
[5,6,8,3,7,4,2,1]=>[1,2,4,7,3,8,6,5]
[4,6,1,5,7,2,8,3]=>[3,8,2,7,5,1,6,4]
[2,5,8,4,6,3,7,1]=>[1,7,3,6,4,8,5,2]
[4,8,3,6,7,5,2,1]=>[1,2,5,7,6,3,8,4]
[4,3,7,1,2,6,8,5]=>[5,8,6,2,1,7,3,4]
[8,1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1,8]
[6,8,1,5,2,7,4,3]=>[3,4,7,2,5,1,8,6]
[4,5,6,2,8,3,7,1]=>[1,7,3,8,2,6,5,4]
[4,5,8,2,3,7,6,1]=>[1,6,7,3,2,8,5,4]
[5,6,2,1,3,8,4,7]=>[7,4,8,3,1,2,6,5]
[7,1,4,8,2,5,3,6]=>[6,3,5,2,8,4,1,7]
[6,3,4,7,2,5,8,1]=>[1,8,5,2,7,4,3,6]
[8,5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5,8]
[3,5,8,6,7,2,4,1]=>[1,4,2,7,6,8,5,3]
[2,5,6,8,3,7,4,1]=>[1,4,7,3,8,6,5,2]
[8,6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6,8]
[6,7,8,2,3,1,5,4]=>[4,5,1,3,2,8,7,6]
[6,3,4,7,5,1,8,2]=>[2,8,1,5,7,4,3,6]
[5,6,2,7,4,8,3,1]=>[1,3,8,4,7,2,6,5]
[1,7,3,2,4,8,6,5]=>[5,6,8,4,2,3,7,1]
[4,3,1,8,2,6,7,5]=>[5,7,6,2,8,1,3,4]
[4,8,1,3,2,5,7,6]=>[6,7,5,2,3,1,8,4]
[1,7,5,3,8,6,2,4]=>[4,2,6,8,3,5,7,1]
[2,5,3,8,1,4,7,6]=>[6,7,4,1,8,3,5,2]
[4,2,5,8,1,3,7,6]=>[6,7,3,1,8,5,2,4]
[8,1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1,8]
[2,4,3,8,1,5,7,6]=>[6,7,5,1,8,3,4,2]
[3,1,7,4,8,6,5,2]=>[2,5,6,8,4,7,1,3]
[6,4,5,3,2,8,7,1]=>[1,7,8,2,3,5,4,6]
[2,7,3,8,5,1,6,4]=>[4,6,1,5,8,3,7,2]
[8,7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7,8]
[3,1,8,2,6,5,4,7]=>[7,4,5,6,2,8,1,3]
[7,6,2,8,1,4,5,3]=>[3,5,4,1,8,2,6,7]
[2,3,8,4,1,5,7,6]=>[6,7,5,1,4,8,3,2]
[8,4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4,8]
[8,2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2,8]
[7,1,6,2,4,8,3,5]=>[5,3,8,4,2,6,1,7]
[2,7,8,1,4,3,6,5]=>[5,6,3,4,1,8,7,2]
[6,5,8,1,3,2,4,7]=>[7,4,2,3,1,8,5,6]
[2,1,8,5,3,4,6,7]=>[7,6,4,3,5,8,1,2]
[8,4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4,8]
[8,6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6,8]
[7,8,1,5,2,4,6,3]=>[3,6,4,2,5,1,8,7]
[2,8,6,3,1,5,4,7]=>[7,4,5,1,3,6,8,2]
[5,7,2,8,4,1,6,3]=>[3,6,1,4,8,2,7,5]
[2,5,6,3,8,1,4,7]=>[7,4,1,8,3,6,5,2]
[7,4,5,6,8,1,3,2]=>[2,3,1,8,6,5,4,7]
[7,6,8,1,4,5,3,2]=>[2,3,5,4,1,8,6,7]
[7,5,1,8,4,6,3,2]=>[2,3,6,4,8,1,5,7]
[7,2,5,3,6,4,8,1]=>[1,8,4,6,3,5,2,7]
[7,3,1,2,6,8,4,5]=>[5,4,8,6,2,1,3,7]
[7,4,5,1,8,6,3,2]=>[2,3,6,8,1,5,4,7]
[2,4,8,6,1,5,3,7]=>[7,3,5,1,6,8,4,2]
[3,5,4,1,8,6,7,2]=>[2,7,6,8,1,4,5,3]
[4,3,5,8,1,6,7,2]=>[2,7,6,1,8,5,3,4]
[8,5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5,8]
[1,7,8,5,6,4,3,2]=>[2,3,4,6,5,8,7,1]
[2,7,1,3,5,8,4,6]=>[6,4,8,5,3,1,7,2]
[2,1,8,6,4,5,3,7]=>[7,3,5,4,6,8,1,2]
[2,8,1,7,4,5,3,6]=>[6,3,5,4,7,1,8,2]
[2,7,8,6,5,1,4,3]=>[3,4,1,5,6,8,7,2]
[4,2,5,8,6,1,7,3]=>[3,7,1,6,8,5,2,4]
[7,5,4,6,8,1,3,2]=>[2,3,1,8,6,4,5,7]
[2,4,5,8,6,1,7,3]=>[3,7,1,6,8,5,4,2]
[7,3,6,2,5,4,8,1]=>[1,8,4,5,2,6,3,7]
[1,2,6,4,8,5,3,7]=>[7,3,5,8,4,6,2,1]
[7,1,8,5,6,4,3,2]=>[2,3,4,6,5,8,1,7]
[6,8,1,5,7,4,3,2]=>[2,3,4,7,5,1,8,6]
[8,6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6,8]
[5,7,8,1,6,4,3,2]=>[2,3,4,6,1,8,7,5]
[1,6,2,3,5,8,4,7]=>[7,4,8,5,3,2,6,1]
[7,1,2,4,8,5,3,6]=>[6,3,5,8,4,2,1,7]
[1,8,5,6,4,3,7,2]=>[2,7,3,4,6,5,8,1]
[2,6,8,4,5,1,7,3]=>[3,7,1,5,4,8,6,2]
[4,6,5,7,8,1,3,2]=>[2,3,1,8,7,5,6,4]
[2,5,8,6,4,7,1,3]=>[3,1,7,4,6,8,5,2]
[3,6,5,1,4,2,8,7]=>[7,8,2,4,1,5,6,3]
[5,8,1,7,2,3,6,4]=>[4,6,3,2,7,1,8,5]
[5,3,6,4,2,1,8,7]=>[7,8,1,2,4,6,3,5]
[3,8,4,5,7,1,6,2]=>[2,6,1,7,5,4,8,3]
[3,7,4,5,8,2,6,1]=>[1,6,2,8,5,4,7,3]
[6,5,7,4,1,8,3,2]=>[2,3,8,1,4,7,5,6]
[6,1,7,4,5,2,8,3]=>[3,8,2,5,4,7,1,6]
[5,3,2,1,7,8,4,6]=>[6,4,8,7,1,2,3,5]
[4,1,5,7,8,3,6,2]=>[2,6,3,8,7,5,1,4]
[8,3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3,8]
[7,8,3,5,2,1,4,6]=>[6,4,1,2,5,3,8,7]
[3,7,6,1,4,5,8,2]=>[2,8,5,4,1,6,7,3]
[8,6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6,8]
[5,3,8,6,4,2,7,1]=>[1,7,2,4,6,8,3,5]
[8,4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4,8]
[6,4,3,8,5,2,7,1]=>[1,7,2,5,8,3,4,6]
[1,6,5,3,8,4,7,2]=>[2,7,4,8,3,5,6,1]
[7,6,2,3,5,1,4,8]=>[8,4,1,5,3,2,6,7]
[6,2,5,3,4,8,1,7]=>[7,1,8,4,3,5,2,6]
[6,2,5,3,4,8,7,1]=>[1,7,8,4,3,5,2,6]
[2,6,5,3,4,8,1,7]=>[7,1,8,4,3,5,6,2]
[5,3,4,8,1,7,2,6]=>[6,2,7,1,8,4,3,5]
[5,1,3,4,8,7,2,6]=>[6,2,7,8,4,3,1,5]
[1,5,3,4,8,7,2,6]=>[6,2,7,8,4,3,5,1]
[5,1,3,8,4,7,6,2]=>[2,6,7,4,8,3,1,5]
[5,3,8,1,4,7,6,2]=>[2,6,7,4,1,8,3,5]
[4,3,5,8,1,7,6,2]=>[2,6,7,1,8,5,3,4]
[3,6,5,4,8,1,2,7]=>[7,2,1,8,4,5,6,3]
[3,6,5,4,8,2,7,1]=>[1,7,2,8,4,5,6,3]
[3,5,2,4,8,7,6,1]=>[1,6,7,8,4,2,5,3]
[2,4,6,1,5,7,8,3]=>[3,8,7,5,1,6,4,2]
[2,6,3,1,5,7,8,4]=>[4,8,7,5,1,3,6,2]
[2,5,3,6,8,4,1,7]=>[7,1,4,8,6,3,5,2]
[2,5,3,6,4,1,8,7]=>[7,8,1,4,6,3,5,2]
[4,6,2,5,1,7,8,3]=>[3,8,7,1,5,2,6,4]
[6,2,5,3,1,7,8,4]=>[4,8,7,1,3,5,2,6]
[2,6,3,1,7,5,8,4]=>[4,8,5,7,1,3,6,2]
[2,3,6,5,8,4,1,7]=>[7,1,4,8,5,6,3,2]
[2,3,5,1,7,6,4,8]=>[8,4,6,7,1,5,3,2]
[2,3,1,7,4,8,6,5]=>[5,6,8,4,7,1,3,2]
[5,2,3,1,8,6,4,7]=>[7,4,6,8,1,3,2,5]
[2,3,6,4,1,5,7,8]=>[8,7,5,1,4,6,3,2]
[4,7,5,1,3,2,8,6]=>[6,8,2,3,1,5,7,4]
[2,8,6,3,7,4,1,5]=>[5,1,4,7,3,6,8,2]
[2,3,8,7,6,4,1,5]=>[5,1,4,6,7,8,3,2]
[2,3,7,6,4,1,5,8]=>[8,5,1,4,6,7,3,2]
[2,6,3,7,4,1,5,8]=>[8,5,1,4,7,3,6,2]
[2,6,3,8,7,4,1,5]=>[5,1,4,7,8,3,6,2]
[2,7,6,3,8,4,1,5]=>[5,1,4,8,3,6,7,2]
[2,7,8,3,1,6,5,4]=>[4,5,6,1,3,8,7,2]
[7,4,8,2,5,1,6,3]=>[3,6,1,5,2,8,4,7]
[7,2,3,1,6,5,4,8]=>[8,4,5,6,1,3,2,7]
[7,5,2,3,1,6,4,8]=>[8,4,6,1,3,2,5,7]
[6,1,3,5,2,7,8,4]=>[4,8,7,2,5,3,1,6]
[1,8,3,5,4,6,2,7]=>[7,2,6,4,5,3,8,1]
[2,3,1,6,4,8,7,5]=>[5,7,8,4,6,1,3,2]
[1,8,3,6,4,2,7,5]=>[5,7,2,4,6,3,8,1]
[2,1,7,4,8,5,3,6]=>[6,3,5,8,4,7,1,2]
[2,3,1,7,5,4,6,8]=>[8,6,4,5,7,1,3,2]
[2,3,7,4,1,5,6,8]=>[8,6,5,1,4,7,3,2]
[2,7,3,8,4,1,5,6]=>[6,5,1,4,8,3,7,2]
[8,2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2,8]
[8,5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5,8]
[5,3,1,4,2,6,8,7]=>[7,8,6,2,4,1,3,5]
[8,2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2,8]
[8,2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2,8]
[8,1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1,8]
[8,1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1,8]
[8,1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1,8]
[7,8,5,2,6,4,3,1]=>[1,3,4,6,2,5,8,7]
[4,2,7,5,1,3,6,8]=>[8,6,3,1,5,7,2,4]
[4,2,8,1,3,6,7,5]=>[5,7,6,3,1,8,2,4]
[7,1,3,6,4,2,5,8]=>[8,5,2,4,6,3,1,7]
[8,1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1,8]
[1,7,4,6,3,5,8,2]=>[2,8,5,3,6,4,7,1]
[7,1,3,6,2,5,8,4]=>[4,8,5,2,6,3,1,7]
[5,2,7,1,4,8,3,6]=>[6,3,8,4,1,7,2,5]
[5,2,7,3,6,1,4,8]=>[8,4,1,6,3,7,2,5]
[7,4,6,3,1,2,5,8]=>[8,5,2,1,3,6,4,7]
[6,4,8,3,1,2,5,7]=>[7,5,2,1,3,8,4,6]
[6,4,1,3,7,2,5,8]=>[8,5,2,7,3,1,4,6]
[6,4,1,3,8,2,5,7]=>[7,5,2,8,3,1,4,6]
[7,4,6,1,2,5,8,3]=>[3,8,5,2,1,6,4,7]
[6,1,3,8,2,5,7,4]=>[4,7,5,2,8,3,1,6]
[7,2,5,3,6,1,4,8]=>[8,4,1,6,3,5,2,7]
[8,2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2,8]
[6,4,7,1,2,5,8,3]=>[3,8,5,2,1,7,4,6]
[6,4,8,1,2,5,7,3]=>[3,7,5,2,1,8,4,6]
[5,7,3,1,6,2,4,8]=>[8,4,2,6,1,3,7,5]
[5,8,3,4,1,2,7,6]=>[6,7,2,1,4,3,8,5]
[4,7,8,3,6,5,1,2]=>[2,1,5,6,3,8,7,4]
[5,2,4,8,3,7,1,6]=>[6,1,7,3,8,4,2,5]
[3,5,8,4,7,1,2,6]=>[6,2,1,7,4,8,5,3]
[4,6,1,5,7,8,2,3]=>[3,2,8,7,5,1,6,4]
[4,6,7,8,3,2,5,1]=>[1,5,2,3,8,7,6,4]
[4,2,1,7,6,5,3,8]=>[8,3,5,6,7,1,2,4]
[3,7,5,1,4,6,2,8]=>[8,2,6,4,1,5,7,3]
[8,7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7,8]
[7,8,5,2,3,1,6,4]=>[4,6,1,3,2,5,8,7]
[6,8,7,4,1,5,2,3]=>[3,2,5,1,4,7,8,6]
[5,2,7,3,1,4,8,6]=>[6,8,4,1,3,7,2,5]
[8,7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7,8]
[8,2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2,8]
[8,6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6,8]
[6,1,2,4,7,8,3,5]=>[5,3,8,7,4,2,1,6]
[2,4,6,5,7,1,8,3]=>[3,8,1,7,5,6,4,2]
[4,6,7,5,2,3,8,1]=>[1,8,3,2,5,7,6,4]
[2,6,7,4,5,3,8,1]=>[1,8,3,5,4,7,6,2]
[2,6,4,7,5,8,3,1]=>[1,3,8,5,7,4,6,2]
[4,6,2,7,5,3,8,1]=>[1,8,3,5,7,2,6,4]
[6,7,4,2,5,3,8,1]=>[1,8,3,5,2,4,7,6]
[4,2,6,7,8,5,3,1]=>[1,3,5,8,7,6,2,4]
[6,2,7,4,5,8,3,1]=>[1,3,8,5,4,7,2,6]
[6,2,4,7,8,5,3,1]=>[1,3,5,8,7,4,2,6]
[6,7,4,5,2,8,3,1]=>[1,3,8,2,5,4,7,6]
[1,5,3,6,4,8,2,7]=>[7,2,8,4,6,3,5,1]
[3,5,2,1,7,8,6,4]=>[4,6,8,7,1,2,5,3]
[3,4,1,8,7,5,6,2]=>[2,6,5,7,8,1,4,3]
[4,2,7,8,6,5,1,3]=>[3,1,5,6,8,7,2,4]
[1,2,7,8,6,4,5,3]=>[3,5,4,6,8,7,2,1]
[3,1,8,6,5,2,4,7]=>[7,4,2,5,6,8,1,3]
[4,8,1,2,6,5,3,7]=>[7,3,5,6,2,1,8,4]
[6,8,5,1,2,4,3,7]=>[7,3,4,2,1,5,8,6]
[4,7,1,6,2,8,3,5]=>[5,3,8,2,6,1,7,4]
[8,1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1,8]
[8,6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6,8]
[7,1,6,3,2,4,8,5]=>[5,8,4,2,3,6,1,7]
[7,5,1,2,3,6,8,4]=>[4,8,6,3,2,1,5,7]
[8,2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2,8]
[6,2,8,7,1,3,4,5]=>[5,4,3,1,7,8,2,6]
[6,4,8,1,2,3,7,5]=>[5,7,3,2,1,8,4,6]
[8,6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6,8]
[6,7,1,2,3,8,5,4]=>[4,5,8,3,2,1,7,6]
[7,8,5,1,2,3,6,4]=>[4,6,3,2,1,5,8,7]
[8,1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1,8]
[5,3,4,1,6,8,7,2]=>[2,7,8,6,1,4,3,5]
[5,4,6,1,8,3,7,2]=>[2,7,3,8,1,6,4,5]
[7,4,1,3,6,8,5,2]=>[2,5,8,6,3,1,4,7]
[7,1,8,3,2,6,5,4]=>[4,5,6,2,3,8,1,7]
[1,2,4,8,3,7,5,6]=>[6,5,7,3,8,4,2,1]
[7,3,4,2,5,1,8,6]=>[6,8,1,5,2,4,3,7]
[7,2,5,1,6,4,3,8]=>[8,3,4,6,1,5,2,7]
[5,2,7,1,4,6,3,8]=>[8,3,6,4,1,7,2,5]
[5,2,6,8,4,7,3,1]=>[1,3,7,4,8,6,2,5]
[6,2,1,4,5,8,7,3]=>[3,7,8,5,4,1,2,6]
[6,3,8,5,7,1,4,2]=>[2,4,1,7,5,8,3,6]
[2,4,3,8,5,7,1,6]=>[6,1,7,5,8,3,4,2]
[2,8,3,1,4,6,5,7]=>[7,5,6,4,1,3,8,2]
[2,3,7,4,8,6,5,1]=>[1,5,6,8,4,7,3,2]
[5,6,7,3,1,4,2,8]=>[8,2,4,1,3,7,6,5]
[4,5,7,6,1,3,8,2]=>[2,8,3,1,6,7,5,4]
[6,5,8,1,4,7,3,2]=>[2,3,7,4,1,8,5,6]
[5,8,7,2,3,1,4,6]=>[6,4,1,3,2,7,8,5]
[4,7,8,1,5,3,6,2]=>[2,6,3,5,1,8,7,4]
[4,3,1,7,6,5,2,8]=>[8,2,5,6,7,1,3,4]
[3,6,5,2,7,4,1,8]=>[8,1,4,7,2,5,6,3]
[3,7,1,6,5,8,2,4]=>[4,2,8,5,6,1,7,3]
[7,4,3,6,8,2,1,5]=>[5,1,2,8,6,3,4,7]
[3,8,5,4,7,6,1,2]=>[2,1,6,7,4,5,8,3]
[1,4,6,8,7,3,5,2]=>[2,5,3,7,8,6,4,1]
[4,6,5,1,3,8,7,2]=>[2,7,8,3,1,5,6,4]
[5,4,6,2,1,8,7,3]=>[3,7,8,1,2,6,4,5]
[3,2,8,5,1,4,6,7]=>[7,6,4,1,5,8,2,3]
[3,5,4,1,2,8,6,7]=>[7,6,8,2,1,4,5,3]
[5,3,8,1,4,2,6,7]=>[7,6,2,4,1,8,3,5]
[5,3,8,1,4,2,7,6]=>[6,7,2,4,1,8,3,5]
[1,4,7,5,8,6,2,3]=>[3,2,6,8,5,7,4,1]
[8,5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5,8]
[7,5,2,6,1,4,8,3]=>[3,8,4,1,6,2,5,7]
[2,4,5,1,8,3,7,6]=>[6,7,3,8,1,5,4,2]
[7,2,8,5,3,4,1,6]=>[6,1,4,3,5,8,2,7]
[6,4,5,3,1,7,8,2]=>[2,8,7,1,3,5,4,6]
[7,3,5,6,4,1,8,2]=>[2,8,1,4,6,5,3,7]
[4,1,3,5,2,6,8,7]=>[7,8,6,2,5,3,1,4]
[3,1,8,5,6,7,4,2]=>[2,4,7,6,5,8,1,3]
[4,3,7,6,1,8,2,5]=>[5,2,8,1,6,7,3,4]
[5,1,7,6,2,3,4,8]=>[8,4,3,2,6,7,1,5]
[4,3,7,6,2,8,1,5]=>[5,1,8,2,6,7,3,4]
[5,2,7,6,4,1,8,3]=>[3,8,1,4,6,7,2,5]
[3,6,5,7,8,4,1,2]=>[2,1,4,8,7,5,6,3]
[6,5,2,4,7,3,1,8]=>[8,1,3,7,4,2,5,6]
[6,1,2,5,7,8,3,4]=>[4,3,8,7,5,2,1,6]
[6,4,3,1,8,5,7,2]=>[2,7,5,8,1,3,4,6]
[2,4,3,5,8,1,7,6]=>[6,7,1,8,5,3,4,2]
[4,2,5,3,1,6,8,7]=>[7,8,6,1,3,5,2,4]
[1,2,7,6,4,3,8,5]=>[5,8,3,4,6,7,2,1]
[3,4,7,6,8,1,5,2]=>[2,5,1,8,6,7,4,3]
[2,4,7,6,8,1,5,3]=>[3,5,1,8,6,7,4,2]
[2,1,7,6,4,5,3,8]=>[8,3,5,4,6,7,1,2]
[1,4,7,6,8,5,2,3]=>[3,2,5,8,6,7,4,1]
[2,5,6,3,4,1,8,7]=>[7,8,1,4,3,6,5,2]
[4,6,2,1,5,8,3,7]=>[7,3,8,5,1,2,6,4]
[4,6,7,2,3,8,5,1]=>[1,5,8,3,2,7,6,4]
[2,3,6,8,7,1,5,4]=>[4,5,1,7,8,6,3,2]
[2,3,7,8,4,5,1,6]=>[6,1,5,4,8,7,3,2]
[2,3,5,8,7,4,1,6]=>[6,1,4,7,8,5,3,2]
[2,3,5,8,7,4,6,1]=>[1,6,4,7,8,5,3,2]
[2,3,7,8,6,4,1,5]=>[5,1,4,6,8,7,3,2]
[5,6,4,1,8,3,7,2]=>[2,7,3,8,1,4,6,5]
[5,7,4,1,8,6,2,3]=>[3,2,6,8,1,4,7,5]
[4,5,3,7,8,1,2,6]=>[6,2,1,8,7,3,5,4]
[2,3,5,8,1,7,4,6]=>[6,4,7,1,8,5,3,2]
[5,4,2,7,8,3,1,6]=>[6,1,3,8,7,2,4,5]
[2,3,5,8,1,6,4,7]=>[7,4,6,1,8,5,3,2]
[1,5,8,7,3,6,4,2]=>[2,4,6,3,7,8,5,1]
[6,2,5,4,7,1,3,8]=>[8,3,1,7,4,5,2,6]
[8,6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6,8]
[1,8,4,5,7,3,6,2]=>[2,6,3,7,5,4,8,1]
[1,6,4,5,8,7,2,3]=>[3,2,7,8,5,4,6,1]
[1,7,4,5,8,3,6,2]=>[2,6,3,8,5,4,7,1]
[8,6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6,8]
[7,3,6,1,8,5,2,4]=>[4,2,5,8,1,6,3,7]
[2,8,5,6,3,1,4,7]=>[7,4,1,3,6,5,8,2]
[2,3,6,8,7,4,1,5]=>[5,1,4,7,8,6,3,2]
[2,5,8,1,3,6,7,4]=>[4,7,6,3,1,8,5,2]
[4,8,2,6,1,5,7,3]=>[3,7,5,1,6,2,8,4]
[6,3,2,7,4,1,5,8]=>[8,5,1,4,7,2,3,6]
[2,5,3,1,4,7,6,8]=>[8,6,7,4,1,3,5,2]
[2,5,7,8,3,4,1,6]=>[6,1,4,3,8,7,5,2]
[2,3,7,4,1,5,8,6]=>[6,8,5,1,4,7,3,2]
[2,3,7,8,1,5,4,6]=>[6,4,5,1,8,7,3,2]
[2,5,8,1,3,7,4,6]=>[6,4,7,3,1,8,5,2]
[2,5,3,1,4,6,8,7]=>[7,8,6,4,1,3,5,2]
[5,2,6,7,8,3,1,4]=>[4,1,3,8,7,6,2,5]
[2,8,5,6,3,4,1,7]=>[7,1,4,3,6,5,8,2]
[5,6,2,7,8,3,1,4]=>[4,1,3,8,7,2,6,5]
[7,4,2,8,3,5,6,1]=>[1,6,5,3,8,2,4,7]
[6,2,7,8,5,3,4,1]=>[1,4,3,5,8,7,2,6]
[4,2,8,6,3,5,1,7]=>[7,1,5,3,6,8,2,4]
[7,8,4,1,2,5,6,3]=>[3,6,5,2,1,4,8,7]
[3,8,6,1,4,5,2,7]=>[7,2,5,4,1,6,8,3]
[6,7,3,8,1,4,5,2]=>[2,5,4,1,8,3,7,6]
[6,7,8,4,1,2,5,3]=>[3,5,2,1,4,8,7,6]
[2,6,8,4,3,1,5,7]=>[7,5,1,3,4,8,6,2]
[8,4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4,8]
[2,6,7,8,4,1,5,3]=>[3,5,1,4,8,7,6,2]
[2,3,7,5,8,4,6,1]=>[1,6,4,8,5,7,3,2]
[2,5,3,1,6,8,4,7]=>[7,4,8,6,1,3,5,2]
[5,6,7,2,8,1,4,3]=>[3,4,1,8,2,7,6,5]
[3,7,8,5,1,4,6,2]=>[2,6,4,1,5,8,7,3]
[2,5,6,7,1,8,4,3]=>[3,4,8,1,7,6,5,2]
[8,5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5,8]
[2,3,7,4,8,5,6,1]=>[1,6,5,8,4,7,3,2]
[2,3,7,8,5,4,6,1]=>[1,6,4,5,8,7,3,2]
[7,3,8,5,4,2,6,1]=>[1,6,2,4,5,8,3,7]
[6,4,7,8,1,2,5,3]=>[3,5,2,1,8,7,4,6]
[4,8,6,1,2,5,3,7]=>[7,3,5,2,1,6,8,4]
[3,4,8,6,1,5,2,7]=>[7,2,5,1,6,8,4,3]
[7,5,8,1,2,3,6,4]=>[4,6,3,2,1,8,5,7]
[1,2,8,7,4,6,5,3]=>[3,5,6,4,7,8,2,1]
[5,1,4,8,7,3,6,2]=>[2,6,3,7,8,4,1,5]
[4,3,1,8,7,5,6,2]=>[2,6,5,7,8,1,3,4]
[4,3,2,7,6,1,5,8]=>[8,5,1,6,7,2,3,4]
[7,2,6,5,3,1,4,8]=>[8,4,1,3,5,6,2,7]
[1,3,7,6,2,4,8,5]=>[5,8,4,2,6,7,3,1]
[1,3,8,2,7,4,6,5]=>[5,6,4,7,2,8,3,1]
[8,2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2,8]
[4,3,2,8,1,7,5,6]=>[6,5,7,1,8,2,3,4]
[7,5,4,1,6,3,8,2]=>[2,8,3,6,1,4,5,7]
[1,6,5,3,2,4,8,7]=>[7,8,4,2,3,5,6,1]
[1,7,3,5,2,4,8,6]=>[6,8,4,2,5,3,7,1]
[4,3,7,2,5,1,6,8]=>[8,6,1,5,2,7,3,4]
[5,1,4,3,2,6,8,7]=>[7,8,6,2,3,4,1,5]
[7,2,1,3,5,4,6,8]=>[8,6,4,5,3,1,2,7]
[8,3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3,8]
[8,5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5,8]
[3,8,1,4,5,2,7,6]=>[6,7,2,5,4,1,8,3]
[5,3,1,7,6,4,8,2]=>[2,8,4,6,7,1,3,5]
[1,6,8,7,5,2,3,4]=>[4,3,2,5,7,8,6,1]
[7,2,4,8,5,6,3,1]=>[1,3,6,5,8,4,2,7]
[2,5,3,4,8,7,1,6]=>[6,1,7,8,4,3,5,2]
[6,5,4,8,2,3,7,1]=>[1,7,3,2,8,4,5,6]
[1,6,3,7,8,4,5,2]=>[2,5,4,8,7,3,6,1]
[4,3,6,1,8,5,2,7]=>[7,2,5,8,1,6,3,4]
[2,7,3,5,6,8,4,1]=>[1,4,8,6,5,3,7,2]
[1,3,6,2,5,4,8,7]=>[7,8,4,5,2,6,3,1]
[1,4,8,7,3,6,2,5]=>[5,2,6,3,7,8,4,1]
[1,4,8,6,2,5,3,7]=>[7,3,5,2,6,8,4,1]
[4,5,7,6,3,1,8,2]=>[2,8,1,3,6,7,5,4]
[4,6,7,5,1,3,8,2]=>[2,8,3,1,5,7,6,4]
[3,6,5,1,4,7,8,2]=>[2,8,7,4,1,5,6,3]
[4,6,7,3,1,5,8,2]=>[2,8,5,1,3,7,6,4]
[5,4,1,8,7,3,6,2]=>[2,6,3,7,8,1,4,5]
[2,5,8,1,6,7,4,3]=>[3,4,7,6,1,8,5,2]
[8,3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3,8]
[6,2,4,7,5,3,1,8]=>[8,1,3,5,7,4,2,6]
[6,2,5,1,8,7,3,4]=>[4,3,7,8,1,5,2,6]
[3,2,6,1,5,8,7,4]=>[4,7,8,5,1,6,2,3]
[6,2,1,8,4,5,7,3]=>[3,7,5,4,8,1,2,6]
[5,1,8,7,6,4,2,3]=>[3,2,4,6,7,8,1,5]
[7,1,4,5,3,8,2,6]=>[6,2,8,3,5,4,1,7]
[6,5,4,2,3,8,1,7]=>[7,1,8,3,2,4,5,6]
[6,1,4,8,3,7,2,5]=>[5,2,7,3,8,4,1,6]
[4,5,3,8,6,2,1,7]=>[7,1,2,6,8,3,5,4]
[3,6,4,2,8,5,1,7]=>[7,1,5,8,2,4,6,3]
[2,6,5,3,1,8,4,7]=>[7,4,8,1,3,5,6,2]
[4,2,3,6,7,5,1,8]=>[8,1,5,7,6,3,2,4]
[6,2,3,5,7,4,1,8]=>[8,1,4,7,5,3,2,6]
[7,2,4,6,3,5,1,8]=>[8,1,5,3,6,4,2,7]
[1,5,3,8,6,2,4,7]=>[7,4,2,6,8,3,5,1]
[8,1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1,8]
[8,5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5,8]
[5,1,8,2,4,7,3,6]=>[6,3,7,4,2,8,1,5]
[1,6,3,8,4,7,2,5]=>[5,2,7,4,8,3,6,1]
[6,1,8,3,5,2,4,7]=>[7,4,2,5,3,8,1,6]
[8,1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1,8]
[8,5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5,8]
[7,5,8,1,4,2,3,6]=>[6,3,2,4,1,8,5,7]
[5,1,3,8,6,2,4,7]=>[7,4,2,6,8,3,1,5]
[7,2,4,8,5,1,3,6]=>[6,3,1,5,8,4,2,7]
[6,1,3,8,4,7,2,5]=>[5,2,7,4,8,3,1,6]
[8,2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2,8]
[1,3,4,8,5,6,2,7]=>[7,2,6,5,8,4,3,1]
[8,2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2,8]
[2,3,1,5,8,7,4,6]=>[6,4,7,8,5,1,3,2]
[8,1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1,8]
[5,2,1,4,8,7,3,6]=>[6,3,7,8,4,1,2,5]
[2,8,3,5,4,7,1,6]=>[6,1,7,4,5,3,8,2]
[8,3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3,8]
[7,2,4,8,1,6,3,5]=>[5,3,6,1,8,4,2,7]
[1,5,4,6,7,2,8,3]=>[3,8,2,7,6,4,5,1]
[4,3,5,6,1,7,2,8]=>[8,2,7,1,6,5,3,4]
[3,8,2,4,7,5,6,1]=>[1,6,5,7,4,2,8,3]
[3,2,7,1,8,6,5,4]=>[4,5,6,8,1,7,2,3]
[2,8,1,4,6,5,7,3]=>[3,7,5,6,4,1,8,2]
[6,1,2,7,4,5,3,8]=>[8,3,5,4,7,2,1,6]
[1,7,2,3,8,5,6,4]=>[4,6,5,8,3,2,7,1]
[1,3,8,5,6,7,2,4]=>[4,2,7,6,5,8,3,1]
[2,7,4,5,6,1,3,8]=>[8,3,1,6,5,4,7,2]
[6,2,4,1,5,7,8,3]=>[3,8,7,5,1,4,2,6]
[3,1,4,6,7,5,2,8]=>[8,2,5,7,6,4,1,3]
[8,1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1,8]
[4,2,1,5,7,6,8,3]=>[3,8,6,7,5,1,2,4]
[1,4,2,5,7,8,6,3]=>[3,6,8,7,5,2,4,1]
[4,3,2,7,6,1,8,5]=>[5,8,1,6,7,2,3,4]
[7,2,6,5,3,1,8,4]=>[4,8,1,3,5,6,2,7]
[2,8,7,1,5,4,6,3]=>[3,6,4,5,1,7,8,2]
[7,2,8,1,3,5,6,4]=>[4,6,5,3,1,8,2,7]
[5,2,3,1,8,7,6,4]=>[4,6,7,8,1,3,2,5]
[6,1,7,3,5,2,4,8]=>[8,4,2,5,3,7,1,6]
[2,7,6,4,3,5,8,1]=>[1,8,5,3,4,6,7,2]
[6,7,2,5,3,4,8,1]=>[1,8,4,3,5,2,7,6]
[5,8,4,1,3,6,7,2]=>[2,7,6,3,1,4,8,5]
[1,8,5,3,7,6,4,2]=>[2,4,6,7,3,5,8,1]
[6,7,2,3,8,1,4,5]=>[5,4,1,8,3,2,7,6]
[8,2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2,8]
[3,2,7,4,8,1,5,6]=>[6,5,1,8,4,7,2,3]
[2,8,5,6,4,7,1,3]=>[3,1,7,4,6,5,8,2]
[3,1,5,8,7,4,6,2]=>[2,6,4,7,8,5,1,3]
[5,2,8,1,7,4,6,3]=>[3,6,4,7,1,8,2,5]
[1,5,3,8,6,4,7,2]=>[2,7,4,6,8,3,5,1]
[4,7,5,6,2,1,8,3]=>[3,8,1,2,6,5,7,4]
[8,1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1,8]
[1,3,5,6,2,8,7,4]=>[4,7,8,2,6,5,3,1]
[2,5,4,7,3,1,8,6]=>[6,8,1,3,7,4,5,2]
[4,6,3,1,2,5,7,8]=>[8,7,5,2,1,3,6,4]
[7,4,6,8,3,1,2,5]=>[5,2,1,3,8,6,4,7]
[8,5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5,8]
[7,3,2,1,5,4,8,6]=>[6,8,4,5,1,2,3,7]
[1,5,6,3,4,2,8,7]=>[7,8,2,4,3,6,5,1]
[6,1,4,3,5,2,7,8]=>[8,7,2,5,3,4,1,6]
[4,1,5,3,6,7,2,8]=>[8,2,7,6,3,5,1,4]
[2,5,6,4,8,1,3,7]=>[7,3,1,8,4,6,5,2]
[5,1,6,3,7,2,4,8]=>[8,4,2,7,3,6,1,5]
[5,4,1,6,2,3,7,8]=>[8,7,3,2,6,1,4,5]
[5,1,4,6,2,3,7,8]=>[8,7,3,2,6,4,1,5]
[6,4,1,3,5,7,2,8]=>[8,2,7,5,3,1,4,6]
[5,3,1,4,7,2,6,8]=>[8,6,2,7,4,1,3,5]
[7,1,3,2,6,4,5,8]=>[8,5,4,6,2,3,1,7]
[5,2,4,7,3,1,6,8]=>[8,6,1,3,7,4,2,5]
[2,5,6,3,4,1,7,8]=>[8,7,1,4,3,6,5,2]
[5,4,6,2,1,7,3,8]=>[8,3,7,1,2,6,4,5]
[5,1,7,2,4,3,6,8]=>[8,6,3,4,2,7,1,5]
[1,3,6,5,2,4,7,8]=>[8,7,4,2,5,6,3,1]
[5,1,7,3,4,2,6,8]=>[8,6,2,4,3,7,1,5]
[2,5,6,8,3,1,4,7]=>[7,4,1,3,8,6,5,2]
[1,6,5,4,2,3,7,8]=>[8,7,3,2,4,5,6,1]
[8,5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5,8]
[6,4,5,1,2,8,7,3]=>[3,7,8,2,1,5,4,6]
[6,8,3,5,2,1,4,7]=>[7,4,1,2,5,3,8,6]
[6,2,3,5,7,8,1,4]=>[4,1,8,7,5,3,2,6]
[6,3,4,7,8,5,1,2]=>[2,1,5,8,7,4,3,6]
[5,6,1,4,2,7,8,3]=>[3,8,7,2,4,1,6,5]
[5,7,1,4,2,6,8,3]=>[3,8,6,2,4,1,7,5]
[5,8,1,4,2,6,7,3]=>[3,7,6,2,4,1,8,5]
[2,3,8,4,6,5,1,7]=>[7,1,5,6,4,8,3,2]
[6,3,8,5,1,4,7,2]=>[2,7,4,1,5,8,3,6]
[8,2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2,8]
[5,7,3,4,8,6,2,1]=>[1,2,6,8,4,3,7,5]
[7,1,4,3,8,6,2,5]=>[5,2,6,8,3,4,1,7]
[5,4,1,2,7,6,3,8]=>[8,3,6,7,2,1,4,5]
[5,4,1,3,2,7,6,8]=>[8,6,7,2,3,1,4,5]
[8,2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2,8]
[5,3,1,4,6,8,7,2]=>[2,7,8,6,4,1,3,5]
[6,4,3,5,1,8,7,2]=>[2,7,8,1,5,3,4,6]
[8,2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2,8]
[8,2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2,8]
[7,6,3,5,1,2,8,4]=>[4,8,2,1,5,3,6,7]
[2,3,7,1,6,8,4,5]=>[5,4,8,6,1,7,3,2]
[8,2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2,8]
[8,2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2,8]
[4,3,1,5,6,2,7,8]=>[8,7,2,6,5,1,3,4]
[2,6,3,8,7,1,4,5]=>[5,4,1,7,8,3,6,2]
[5,8,7,3,1,2,4,6]=>[6,4,2,1,3,7,8,5]
[2,7,8,1,4,5,3,6]=>[6,3,5,4,1,8,7,2]
[4,1,2,8,7,3,6,5]=>[5,6,3,7,8,2,1,4]
[2,5,6,3,8,7,1,4]=>[4,1,7,8,3,6,5,2]
[6,1,2,4,3,8,7,5]=>[5,7,8,3,4,2,1,6]
[3,7,8,1,2,4,6,5]=>[5,6,4,2,1,8,7,3]
[7,3,4,1,2,6,8,5]=>[5,8,6,2,1,4,3,7]
[8,4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4,8]
[3,8,2,7,4,5,1,6]=>[6,1,5,4,7,2,8,3]
[8,6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6,8]
[8,2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2,8]
[8,4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4,8]
[8,3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3,8]
[8,2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2,8]
[6,8,2,4,5,1,7,3]=>[3,7,1,5,4,2,8,6]
[4,3,8,1,7,5,6,2]=>[2,6,5,7,1,8,3,4]
[8,4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4,8]
[8,3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3,8]
[8,1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1,8]
[8,3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3,8]
[8,7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7,8]
[8,3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3,8]
[8,7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7,8]
[8,2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2,8]
[5,1,8,4,2,3,7,6]=>[6,7,3,2,4,8,1,5]
[8,2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2,8]
[8,2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2,8]
[6,8,1,4,7,3,2,5]=>[5,2,3,7,4,1,8,6]
[8,5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5,8]
[5,8,2,7,3,1,6,4]=>[4,6,1,3,7,2,8,5]
[8,1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1,8]
[8,4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4,8]
[8,2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2,8]
[8,2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2,8]
[8,4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4,8]
[8,2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2,8]
[8,1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1,8]
[8,1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1,8]
[8,1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1,8]
[2,5,1,8,7,3,6,4]=>[4,6,3,7,8,1,5,2]
[2,8,1,5,3,7,6,4]=>[4,6,7,3,5,1,8,2]
[4,2,1,8,7,3,6,5]=>[5,6,3,7,8,1,2,4]
[1,4,8,5,2,7,6,3]=>[3,6,7,2,5,8,4,1]
[1,8,2,4,7,5,6,3]=>[3,6,5,7,4,2,8,1]
[1,3,8,4,7,5,6,2]=>[2,6,5,7,4,8,3,1]
[2,3,8,1,7,5,6,4]=>[4,6,5,7,1,8,3,2]
[2,3,8,4,7,1,6,5]=>[5,6,1,7,4,8,3,2]
[2,8,1,7,3,4,6,5]=>[5,6,4,3,7,1,8,2]
[1,8,2,3,5,6,4,7]=>[7,4,6,5,3,2,8,1]
[1,6,8,4,2,3,5,7]=>[7,5,3,2,4,8,6,1]
[1,6,7,4,2,3,5,8]=>[8,5,3,2,4,7,6,1]
[1,7,2,3,5,6,4,8]=>[8,4,6,5,3,2,7,1]
[1,6,2,3,5,7,4,8]=>[8,4,7,5,3,2,6,1]
[1,5,2,3,7,6,4,8]=>[8,4,6,7,3,2,5,1]
[1,4,7,6,2,3,5,8]=>[8,5,3,2,6,7,4,1]
[1,8,6,2,3,5,4,7]=>[7,4,5,3,2,6,8,1]
[1,7,6,2,3,8,4,5]=>[5,4,8,3,2,6,7,1]
[1,8,2,3,7,6,4,5]=>[5,4,6,7,3,2,8,1]
[1,8,2,3,5,4,7,6]=>[6,7,4,5,3,2,8,1]
[1,7,3,8,6,2,5,4]=>[4,5,2,6,8,3,7,1]
[7,3,8,6,2,1,5,4]=>[4,5,1,2,6,8,3,7]
[2,1,3,6,8,5,4,7]=>[7,4,5,8,6,3,1,2]
[3,6,8,1,4,2,5,7]=>[7,5,2,4,1,8,6,3]
[5,8,2,7,3,1,4,6]=>[6,4,1,3,7,2,8,5]
[5,1,3,8,4,7,2,6]=>[6,2,7,4,8,3,1,5]
[5,8,2,3,7,4,1,6]=>[6,1,4,7,3,2,8,5]
[4,2,8,3,7,6,1,5]=>[5,1,6,7,3,8,2,4]
[8,1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1,8]
[8,4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4,8]
[1,3,6,2,8,5,4,7]=>[7,4,5,8,2,6,3,1]
[1,3,5,6,4,8,2,7]=>[7,2,8,4,6,5,3,1]
[8,3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3,8]
[4,3,6,1,8,2,5,7]=>[7,5,2,8,1,6,3,4]
[3,8,7,4,6,2,1,5]=>[5,1,2,6,4,7,8,3]
[3,1,8,7,4,6,2,5]=>[5,2,6,4,7,8,1,3]
[1,4,8,3,7,2,5,6]=>[6,5,2,7,3,8,4,1]
[8,1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1,8]
[8,4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4,8]
[8,5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5,8]
[1,7,3,2,5,6,8,4]=>[4,8,6,5,2,3,7,1]
[5,8,3,1,4,6,2,7]=>[7,2,6,4,1,3,8,5]
[4,3,7,1,2,8,6,5]=>[5,6,8,2,1,7,3,4]
[5,4,3,7,2,1,8,6]=>[6,8,1,2,7,3,4,5]
[5,4,3,8,7,1,2,6]=>[6,2,1,7,8,3,4,5]
[4,2,7,5,1,3,8,6]=>[6,8,3,1,5,7,2,4]
[2,1,6,7,3,5,8,4]=>[4,8,5,3,7,6,1,2]
[1,6,2,8,7,4,5,3]=>[3,5,4,7,8,2,6,1]
[3,1,7,8,5,2,4,6]=>[6,4,2,5,8,7,1,3]
[4,3,1,6,7,2,8,5]=>[5,8,2,7,6,1,3,4]
[5,7,4,1,3,8,2,6]=>[6,2,8,3,1,4,7,5]
[8,3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3,8]
[8,1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1,8]
[2,5,3,8,6,7,1,4]=>[4,1,7,6,8,3,5,2]
[6,5,2,4,3,8,1,7]=>[7,1,8,3,4,2,5,6]
[7,5,2,4,3,6,1,8]=>[8,1,6,3,4,2,5,7]
[7,2,3,8,6,5,1,4]=>[4,1,5,6,8,3,2,7]
[1,8,4,3,7,5,2,6]=>[6,2,5,7,3,4,8,1]
[1,5,6,8,4,3,2,7]=>[7,2,3,4,8,6,5,1]
[6,4,2,3,7,1,8,5]=>[5,8,1,7,3,2,4,6]
[4,5,8,7,1,3,2,6]=>[6,2,3,1,7,8,5,4]
[1,5,4,7,8,3,2,6]=>[6,2,3,8,7,4,5,1]
[4,7,1,3,6,5,2,8]=>[8,2,5,6,3,1,7,4]
[4,6,1,8,2,7,5,3]=>[3,5,7,2,8,1,6,4]
[6,3,2,1,5,7,8,4]=>[4,8,7,5,1,2,3,6]
[3,4,8,1,5,6,2,7]=>[7,2,6,5,1,8,4,3]
[8,4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4,8]
[6,3,5,2,8,4,7,1]=>[1,7,4,8,2,5,3,6]
[1,6,3,5,2,8,4,7]=>[7,4,8,2,5,3,6,1]
[5,4,8,6,3,7,2,1]=>[1,2,7,3,6,8,4,5]
[6,4,5,8,1,3,7,2]=>[2,7,3,1,8,5,4,6]
[6,3,5,1,8,4,7,2]=>[2,7,4,8,1,5,3,6]
[2,6,3,1,5,8,4,7]=>[7,4,8,5,1,3,6,2]
[2,5,4,8,6,3,1,7]=>[7,1,3,6,8,4,5,2]
[2,5,4,8,6,3,7,1]=>[1,7,3,6,8,4,5,2]
[1,2,5,4,8,6,3,7]=>[7,3,6,8,4,5,2,1]
[6,4,5,8,2,1,7,3]=>[3,7,1,2,8,5,4,6]
[5,3,4,1,2,6,8,7]=>[7,8,6,2,1,4,3,5]
[1,4,3,5,2,8,6,7]=>[7,6,8,2,5,3,4,1]
[1,3,5,4,8,2,6,7]=>[7,6,2,8,4,5,3,1]
[3,5,4,8,2,6,1,7]=>[7,1,6,2,8,4,5,3]
[3,6,4,5,1,2,8,7]=>[7,8,2,1,5,4,6,3]
[4,3,5,1,8,6,2,7]=>[7,2,6,8,1,5,3,4]
[3,5,4,8,1,6,2,7]=>[7,2,6,1,8,4,5,3]
[3,4,8,5,6,1,2,7]=>[7,2,1,6,5,8,4,3]
[3,4,8,5,6,2,1,7]=>[7,1,2,6,5,8,4,3]
[3,5,4,8,1,6,7,2]=>[2,7,6,1,8,4,5,3]
[2,4,3,1,5,8,6,7]=>[7,6,8,5,1,3,4,2]
[1,7,6,2,5,4,8,3]=>[3,8,4,5,2,6,7,1]
[5,6,1,7,4,3,8,2]=>[2,8,3,4,7,1,6,5]
[2,8,3,1,5,7,6,4]=>[4,6,7,5,1,3,8,2]
[3,7,2,1,5,6,8,4]=>[4,8,6,5,1,2,7,3]
[7,4,2,1,5,6,8,3]=>[3,8,6,5,1,2,4,7]
[3,8,1,7,2,5,4,6]=>[6,4,5,2,7,1,8,3]
[3,8,4,1,2,7,5,6]=>[6,5,7,2,1,4,8,3]
[3,1,5,6,4,2,7,8]=>[8,7,2,4,6,5,1,3]
[4,8,6,1,2,5,7,3]=>[3,7,5,2,1,6,8,4]
[6,7,1,5,2,4,3,8]=>[8,3,4,2,5,1,7,6]
[4,8,2,1,6,5,7,3]=>[3,7,5,6,1,2,8,4]
[8,2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2,8]
[7,5,1,3,6,4,2,8]=>[8,2,4,6,3,1,5,7]
[3,1,5,4,6,2,7,8]=>[8,7,2,6,4,5,1,3]
[8,3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3,8]
[1,4,3,7,8,2,6,5]=>[5,6,2,8,7,3,4,1]
[8,2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2,8]
[8,1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1,8]
[4,1,3,7,8,2,5,6]=>[6,5,2,8,7,3,1,4]
[1,3,7,8,2,6,4,5]=>[5,4,6,2,8,7,3,1]
[1,5,6,2,8,3,7,4]=>[4,7,3,8,2,6,5,1]
[5,2,1,3,7,8,6,4]=>[4,6,8,7,3,1,2,5]
[2,1,6,5,3,8,7,4]=>[4,7,8,3,5,6,1,2]
[5,2,1,7,4,6,8,3]=>[3,8,6,4,7,1,2,5]
[2,4,1,5,7,6,8,3]=>[3,8,6,7,5,1,4,2]
[4,5,3,1,6,2,8,7]=>[7,8,2,6,1,3,5,4]
[5,4,1,3,7,6,8,2]=>[2,8,6,7,3,1,4,5]
[3,1,4,2,8,7,5,6]=>[6,5,7,8,2,4,1,3]
[1,4,3,2,8,7,5,6]=>[6,5,7,8,2,3,4,1]
[1,3,7,8,6,2,4,5]=>[5,4,2,6,8,7,3,1]
[1,3,8,5,4,7,2,6]=>[6,2,7,4,5,8,3,1]
[1,4,2,7,6,8,5,3]=>[3,5,8,6,7,2,4,1]
[4,7,8,1,3,5,2,6]=>[6,2,5,3,1,8,7,4]
[4,2,3,5,7,8,1,6]=>[6,1,8,7,5,3,2,4]
[2,6,7,5,1,4,8,3]=>[3,8,4,1,5,7,6,2]
[5,6,8,2,1,4,7,3]=>[3,7,4,1,2,8,6,5]
[3,7,5,6,4,2,1,8]=>[8,1,2,4,6,5,7,3]
[5,6,1,3,7,4,2,8]=>[8,2,4,7,3,1,6,5]
[7,8,2,5,3,6,4,1]=>[1,4,6,3,5,2,8,7]
[6,1,3,2,7,4,5,8]=>[8,5,4,7,2,3,1,6]
[7,2,6,1,3,5,4,8]=>[8,4,5,3,1,6,2,7]
[7,2,5,8,3,6,4,1]=>[1,4,6,3,8,5,2,7]
[7,4,5,2,6,8,3,1]=>[1,3,8,6,2,5,4,7]
[6,1,4,3,7,5,8,2]=>[2,8,5,7,3,4,1,6]
[1,4,6,7,5,8,2,3]=>[3,2,8,5,7,6,4,1]
[5,1,2,8,7,6,4,3]=>[3,4,6,7,8,2,1,5]
[7,1,3,6,5,8,2,4]=>[4,2,8,5,6,3,1,7]
[3,6,1,4,7,5,2,8]=>[8,2,5,7,4,1,6,3]
[7,1,3,4,6,5,8,2]=>[2,8,5,6,4,3,1,7]
[3,8,6,4,5,2,7,1]=>[1,7,2,5,4,6,8,3]
[4,5,8,6,2,3,7,1]=>[1,7,3,2,6,8,5,4]
[4,6,8,5,3,7,2,1]=>[1,2,7,3,5,8,6,4]
[4,5,7,2,8,6,3,1]=>[1,3,6,8,2,7,5,4]
[3,7,4,5,1,6,8,2]=>[2,8,6,1,5,4,7,3]
[4,6,8,1,2,5,7,3]=>[3,7,5,2,1,8,6,4]
[4,6,8,5,1,3,7,2]=>[2,7,3,1,5,8,6,4]
[3,7,4,5,2,8,6,1]=>[1,6,8,2,5,4,7,3]
[3,7,8,4,6,1,5,2]=>[2,5,1,6,4,8,7,3]
[4,5,7,2,1,6,8,3]=>[3,8,6,1,2,7,5,4]
[4,5,1,6,8,3,7,2]=>[2,7,3,8,6,1,5,4]
[8,3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3,8]
[1,7,4,5,2,6,8,3]=>[3,8,6,2,5,4,7,1]
[1,4,2,6,5,3,8,7]=>[7,8,3,5,6,2,4,1]
[3,1,5,8,4,6,2,7]=>[7,2,6,4,8,5,1,3]
[8,2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2,8]
[4,6,5,8,2,1,3,7]=>[7,3,1,2,8,5,6,4]
[1,4,8,3,5,6,2,7]=>[7,2,6,5,3,8,4,1]
[1,8,7,4,2,3,6,5]=>[5,6,3,2,4,7,8,1]
[4,3,1,8,5,7,2,6]=>[6,2,7,5,8,1,3,4]
[7,3,2,4,8,1,6,5]=>[5,6,1,8,4,2,3,7]
[3,7,2,4,5,8,1,6]=>[6,1,8,5,4,2,7,3]
[3,2,7,4,6,1,8,5]=>[5,8,1,6,4,7,2,3]
[8,3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3,8]
[8,3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3,8]
[7,4,6,2,1,3,8,5]=>[5,8,3,1,2,6,4,7]
[3,6,7,2,4,1,8,5]=>[5,8,1,4,2,7,6,3]
[8,4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4,8]
[3,8,6,7,1,5,4,2]=>[2,4,5,1,7,6,8,3]
[4,3,2,8,6,1,5,7]=>[7,5,1,6,8,2,3,4]
[4,1,6,3,2,5,7,8]=>[8,7,5,2,3,6,1,4]
[5,7,1,8,4,3,6,2]=>[2,6,3,4,8,1,7,5]
[5,4,8,7,6,2,3,1]=>[1,3,2,6,7,8,4,5]
[8,4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4,8]
[3,6,1,5,2,4,7,8]=>[8,7,4,2,5,1,6,3]
[3,7,6,2,5,4,1,8]=>[8,1,4,5,2,6,7,3]
[2,7,1,5,3,4,6,8]=>[8,6,4,3,5,1,7,2]
[8,4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4,8]
[5,2,3,8,7,1,6,4]=>[4,6,1,7,8,3,2,5]
[7,5,2,4,1,3,8,6]=>[6,8,3,1,4,2,5,7]
[7,2,6,8,5,1,3,4]=>[4,3,1,5,8,6,2,7]
[8,6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6,8]
[8,2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2,8]
[3,8,7,5,4,2,1,6]=>[6,1,2,4,5,7,8,3]
[3,6,4,8,5,2,1,7]=>[7,1,2,5,8,4,6,3]
[5,3,6,2,1,4,8,7]=>[7,8,4,1,2,6,3,5]
[7,3,6,5,8,1,4,2]=>[2,4,1,8,5,6,3,7]
[7,3,4,8,6,1,5,2]=>[2,5,1,6,8,4,3,7]
[5,2,3,1,6,8,4,7]=>[7,4,8,6,1,3,2,5]
[7,4,3,8,1,6,5,2]=>[2,5,6,1,8,3,4,7]
[5,1,4,2,7,8,6,3]=>[3,6,8,7,2,4,1,5]
[5,4,1,2,7,6,8,3]=>[3,8,6,7,2,1,4,5]
[2,8,7,4,1,5,3,6]=>[6,3,5,1,4,7,8,2]
[2,1,7,5,8,4,3,6]=>[6,3,4,8,5,7,1,2]
[3,6,1,2,8,5,7,4]=>[4,7,5,8,2,1,6,3]
[6,5,1,4,3,8,7,2]=>[2,7,8,3,4,1,5,6]
[6,3,1,2,7,5,8,4]=>[4,8,5,7,2,1,3,6]
[7,5,8,1,4,3,6,2]=>[2,6,3,4,1,8,5,7]
[7,2,1,6,5,8,4,3]=>[3,4,8,5,6,1,2,7]
[7,4,5,3,8,6,2,1]=>[1,2,6,8,3,5,4,7]
[2,4,7,8,6,3,1,5]=>[5,1,3,6,8,7,4,2]
[6,2,4,3,5,8,1,7]=>[7,1,8,5,3,4,2,6]
[2,4,5,8,1,7,3,6]=>[6,3,7,1,8,5,4,2]
[5,2,3,8,4,7,6,1]=>[1,6,7,4,8,3,2,5]
[4,7,3,5,8,2,1,6]=>[6,1,2,8,5,3,7,4]
[7,2,5,4,8,3,1,6]=>[6,1,3,8,4,5,2,7]
[5,2,8,7,4,6,3,1]=>[1,3,6,4,7,8,2,5]
[2,4,7,6,3,1,8,5]=>[5,8,1,3,6,7,4,2]
[4,7,6,2,5,8,1,3]=>[3,1,8,5,2,6,7,4]
[6,3,2,5,7,1,8,4]=>[4,8,1,7,5,2,3,6]
[7,6,3,1,5,8,2,4]=>[4,2,8,5,1,3,6,7]
[7,4,1,6,8,3,5,2]=>[2,5,3,8,6,1,4,7]
[3,6,2,4,5,8,1,7]=>[7,1,8,5,4,2,6,3]
[6,3,2,4,5,8,1,7]=>[7,1,8,5,4,2,3,6]
[7,4,2,3,6,8,1,5]=>[5,1,8,6,3,2,4,7]
[2,6,4,5,8,3,1,7]=>[7,1,3,8,5,4,6,2]
[3,7,4,8,6,2,5,1]=>[1,5,2,6,8,4,7,3]
[4,8,7,1,3,6,2,5]=>[5,2,6,3,1,7,8,4]
[7,3,5,2,8,1,4,6]=>[6,4,1,8,2,5,3,7]
[1,5,8,7,4,2,3,6]=>[6,3,2,4,7,8,5,1]
[1,7,2,4,5,8,6,3]=>[3,6,8,5,4,2,7,1]
[1,4,6,8,7,2,5,3]=>[3,5,2,7,8,6,4,1]
[1,6,2,7,5,3,4,8]=>[8,4,3,5,7,2,6,1]
[1,3,7,2,6,4,5,8]=>[8,5,4,6,2,7,3,1]
[1,7,3,2,8,5,6,4]=>[4,6,5,8,2,3,7,1]
[1,6,5,2,4,8,3,7]=>[7,3,8,4,2,5,6,1]
[1,7,3,8,4,2,5,6]=>[6,5,2,4,8,3,7,1]
[1,6,2,4,7,5,8,3]=>[3,8,5,7,4,2,6,1]
[1,6,2,7,4,3,8,5]=>[5,8,3,4,7,2,6,1]
[1,5,8,2,3,6,4,7]=>[7,4,6,3,2,8,5,1]
[2,5,3,6,7,1,4,8]=>[8,4,1,7,6,3,5,2]
[6,4,1,5,7,2,3,8]=>[8,3,2,7,5,1,4,6]
[7,5,6,2,1,4,8,3]=>[3,8,4,1,2,6,5,7]
[6,4,1,5,7,3,8,2]=>[2,8,3,7,5,1,4,6]
[2,5,3,6,7,4,8,1]=>[1,8,4,7,6,3,5,2]
[6,1,5,7,3,4,2,8]=>[8,2,4,3,7,5,1,6]
[1,2,7,3,8,5,6,4]=>[4,6,5,8,3,7,2,1]
[8,1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1,8]
[7,4,1,6,3,8,2,5]=>[5,2,8,3,6,1,4,7]
[7,5,6,2,4,8,1,3]=>[3,1,8,4,2,6,5,7]
[7,8,5,1,4,2,3,6]=>[6,3,2,4,1,5,8,7]
[5,7,6,1,4,8,2,3]=>[3,2,8,4,1,6,7,5]
[1,5,7,4,3,8,6,2]=>[2,6,8,3,4,7,5,1]
[3,7,8,4,2,1,5,6]=>[6,5,1,2,4,8,7,3]
[5,4,1,3,6,2,7,8]=>[8,7,2,6,3,1,4,5]
[6,5,2,1,4,7,3,8]=>[8,3,7,4,1,2,5,6]
[5,6,2,3,7,1,4,8]=>[8,4,1,7,3,2,6,5]
[5,6,2,3,7,4,8,1]=>[1,8,4,7,3,2,6,5]
[1,6,2,3,7,5,4,8]=>[8,4,5,7,3,2,6,1]
[7,6,2,3,1,5,8,4]=>[4,8,5,1,3,2,6,7]
[2,7,3,1,4,5,8,6]=>[6,8,5,4,1,3,7,2]
[6,5,8,3,2,7,1,4]=>[4,1,7,2,3,8,5,6]
[8,4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4,8]
[1,2,7,6,5,3,4,8]=>[8,4,3,5,6,7,2,1]
[1,2,7,6,4,5,3,8]=>[8,3,5,4,6,7,2,1]
[1,2,8,7,6,4,5,3]=>[3,5,4,6,7,8,2,1]
[1,2,8,7,5,3,4,6]=>[6,4,3,5,7,8,2,1]
[1,2,6,5,3,4,8,7]=>[7,8,4,3,5,6,2,1]
[1,2,7,4,5,3,6,8]=>[8,6,3,5,4,7,2,1]
[1,2,6,7,5,3,4,8]=>[8,4,3,5,7,6,2,1]
[1,2,7,5,4,3,6,8]=>[8,6,3,4,5,7,2,1]
[1,2,6,8,7,4,5,3]=>[3,5,4,7,8,6,2,1]
[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]
[3,4,5,6,8,2,7,1]=>[1,7,2,8,6,5,4,3]
[3,7,5,2,1,6,4,8]=>[8,4,6,1,2,5,7,3]
[6,1,3,5,8,4,2,7]=>[7,2,4,8,5,3,1,6]
[5,2,4,8,1,6,3,7]=>[7,3,6,1,8,4,2,5]
[7,2,1,4,5,6,3,8]=>[8,3,6,5,4,1,2,7]
[4,6,1,3,7,5,2,8]=>[8,2,5,7,3,1,6,4]
[5,6,8,1,3,4,2,7]=>[7,2,4,3,1,8,6,5]
[1,5,6,7,3,4,2,8]=>[8,2,4,3,7,6,5,1]
[5,6,7,1,4,3,2,8]=>[8,2,3,4,1,7,6,5]
[5,7,8,1,4,2,3,6]=>[6,3,2,4,1,8,7,5]
[4,6,8,5,2,1,7,3]=>[3,7,1,2,5,8,6,4]
[1,6,7,8,2,4,5,3]=>[3,5,4,2,8,7,6,1]
[4,7,8,2,1,3,5,6]=>[6,5,3,1,2,8,7,4]
[5,7,8,3,2,4,6,1]=>[1,6,4,2,3,8,7,5]
[3,5,4,1,8,2,6,7]=>[7,6,2,8,1,4,5,3]
[3,5,4,1,8,2,7,6]=>[6,7,2,8,1,4,5,3]
[3,6,1,8,4,2,7,5]=>[5,7,2,4,8,1,6,3]
[5,7,8,2,3,1,6,4]=>[4,6,1,3,2,8,7,5]
[6,7,8,2,3,5,1,4]=>[4,1,5,3,2,8,7,6]
[6,7,8,2,5,1,3,4]=>[4,3,1,5,2,8,7,6]
[6,7,8,2,5,3,4,1]=>[1,4,3,5,2,8,7,6]
[5,7,8,2,6,4,3,1]=>[1,3,4,6,2,8,7,5]
[1,6,7,8,2,5,4,3]=>[3,4,5,2,8,7,6,1]
[6,7,8,2,5,4,1,3]=>[3,1,4,5,2,8,7,6]
[4,5,2,7,8,6,1,3]=>[3,1,6,8,7,2,5,4]
[2,6,5,3,4,7,1,8]=>[8,1,7,4,3,5,6,2]
[1,4,7,3,6,5,8,2]=>[2,8,5,6,3,7,4,1]
[2,4,7,3,6,5,1,8]=>[8,1,5,6,3,7,4,2]
[4,7,1,3,6,5,8,2]=>[2,8,5,6,3,1,7,4]
[1,8,5,3,4,2,6,7]=>[7,6,2,4,3,5,8,1]
[1,3,5,8,7,2,6,4]=>[4,6,2,7,8,5,3,1]
[2,3,5,7,4,6,1,8]=>[8,1,6,4,7,5,3,2]
[6,4,1,8,5,7,3,2]=>[2,3,7,5,8,1,4,6]
[4,1,3,8,7,5,2,6]=>[6,2,5,7,8,3,1,4]
[6,7,3,1,2,5,8,4]=>[4,8,5,2,1,3,7,6]
[2,8,1,4,7,5,6,3]=>[3,6,5,7,4,1,8,2]
[6,5,8,2,1,4,7,3]=>[3,7,4,1,2,8,5,6]
[8,5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5,8]
[6,1,8,5,7,3,2,4]=>[4,2,3,7,5,8,1,6]
[3,6,7,2,1,5,8,4]=>[4,8,5,1,2,7,6,3]
[7,8,4,3,5,1,6,2]=>[2,6,1,5,3,4,8,7]
[3,1,7,6,2,5,8,4]=>[4,8,5,2,6,7,1,3]
[2,5,6,1,3,8,7,4]=>[4,7,8,3,1,6,5,2]
[2,8,1,3,5,7,6,4]=>[4,6,7,5,3,1,8,2]
[3,8,5,7,2,4,6,1]=>[1,6,4,2,7,5,8,3]
[3,1,5,4,6,8,2,7]=>[7,2,8,6,4,5,1,3]
[3,5,4,8,1,7,6,2]=>[2,6,7,1,8,4,5,3]
[5,8,3,2,6,4,7,1]=>[1,7,4,6,2,3,8,5]
[6,7,1,4,5,2,8,3]=>[3,8,2,5,4,1,7,6]
[7,2,5,6,1,3,8,4]=>[4,8,3,1,6,5,2,7]
[5,7,4,8,6,1,2,3]=>[3,2,1,6,8,4,7,5]
[7,2,6,4,5,1,3,8]=>[8,3,1,5,4,6,2,7]
[6,4,1,2,5,8,3,7]=>[7,3,8,5,2,1,4,6]
[5,4,8,1,6,7,2,3]=>[3,2,7,6,1,8,4,5]
[4,5,1,3,6,7,2,8]=>[8,2,7,6,3,1,5,4]
[5,7,2,6,3,1,8,4]=>[4,8,1,3,6,2,7,5]
[4,6,3,5,7,1,8,2]=>[2,8,1,7,5,3,6,4]
[4,7,3,5,2,6,8,1]=>[1,8,6,2,5,3,7,4]
[7,3,6,5,2,4,8,1]=>[1,8,4,2,5,6,3,7]
[7,3,6,4,5,1,8,2]=>[2,8,1,5,4,6,3,7]
[2,6,3,5,7,1,8,4]=>[4,8,1,7,5,3,6,2]
[2,3,5,4,7,1,8,6]=>[6,8,1,7,4,5,3,2]
[4,5,6,8,1,7,2,3]=>[3,2,7,1,8,6,5,4]
[4,5,8,2,7,3,6,1]=>[1,6,3,7,2,8,5,4]
[4,1,5,7,2,6,8,3]=>[3,8,6,2,7,5,1,4]
[1,3,7,4,2,5,8,6]=>[6,8,5,2,4,7,3,1]
[8,7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7,8]
[6,8,4,1,5,7,3,2]=>[2,3,7,5,1,4,8,6]
[4,5,1,7,2,6,8,3]=>[3,8,6,2,7,1,5,4]
[8,1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1,8]
[7,3,1,2,6,5,8,4]=>[4,8,5,6,2,1,3,7]
[7,1,3,5,6,4,8,2]=>[2,8,4,6,5,3,1,7]
[7,2,3,6,4,5,8,1]=>[1,8,5,4,6,3,2,7]
[6,1,2,5,3,7,4,8]=>[8,4,7,3,5,2,1,6]
[7,3,4,2,8,1,6,5]=>[5,6,1,8,2,4,3,7]
[1,3,4,7,8,5,6,2]=>[2,6,5,8,7,4,3,1]
[1,8,5,3,6,4,7,2]=>[2,7,4,6,3,5,8,1]
[1,6,4,5,8,3,7,2]=>[2,7,3,8,5,4,6,1]
[1,3,6,5,8,4,7,2]=>[2,7,4,8,5,6,3,1]
[8,3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3,8]
[4,5,7,3,2,1,8,6]=>[6,8,1,2,3,7,5,4]
[2,5,8,1,6,4,3,7]=>[7,3,4,6,1,8,5,2]
[4,6,1,2,5,3,8,7]=>[7,8,3,5,2,1,6,4]
[2,5,6,7,3,1,4,8]=>[8,4,1,3,7,6,5,2]
[7,2,5,6,1,4,3,8]=>[8,3,4,1,6,5,2,7]
[6,7,5,1,3,2,8,4]=>[4,8,2,3,1,5,7,6]
[3,5,8,6,7,2,1,4]=>[4,1,2,7,6,8,5,3]
[2,8,3,6,4,1,7,5]=>[5,7,1,4,6,3,8,2]
[8,5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5,8]
[5,1,8,7,3,2,6,4]=>[4,6,2,3,7,8,1,5]
[6,5,3,4,8,2,1,7]=>[7,1,2,8,4,3,5,6]
[6,4,8,7,3,1,2,5]=>[5,2,1,3,7,8,4,6]
[5,4,8,7,3,6,2,1]=>[1,2,6,3,7,8,4,5]
[3,8,5,6,2,4,7,1]=>[1,7,4,2,6,5,8,3]
[4,8,5,6,2,1,7,3]=>[3,7,1,2,6,5,8,4]
[5,8,6,3,7,4,2,1]=>[1,2,4,7,3,6,8,5]
[6,8,7,1,2,5,3,4]=>[4,3,5,2,1,7,8,6]
[5,2,7,6,8,3,4,1]=>[1,4,3,8,6,7,2,5]
[8,4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4,8]
[6,3,7,4,5,2,8,1]=>[1,8,2,5,4,7,3,6]
[7,3,4,2,8,5,6,1]=>[1,6,5,8,2,4,3,7]
[4,3,6,5,8,2,7,1]=>[1,7,2,8,5,6,3,4]
[8,2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2,8]
[7,2,8,4,5,3,6,1]=>[1,6,3,5,4,8,2,7]
[6,3,8,2,7,4,5,1]=>[1,5,4,7,2,8,3,6]
[3,2,8,4,7,5,6,1]=>[1,6,5,7,4,8,2,3]
[8,3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3,8]
[3,4,7,8,2,6,5,1]=>[1,5,6,2,8,7,4,3]
[3,2,6,8,4,5,7,1]=>[1,7,5,4,8,6,2,3]
[2,6,5,8,4,7,3,1]=>[1,3,7,4,8,5,6,2]
[4,3,5,6,8,2,1,7]=>[7,1,2,8,6,5,3,4]
[2,6,5,8,7,4,1,3]=>[3,1,4,7,8,5,6,2]
[3,4,6,8,5,2,1,7]=>[7,1,2,5,8,6,4,3]
[1,7,8,4,3,6,5,2]=>[2,5,6,3,4,8,7,1]
[1,7,8,3,6,5,4,2]=>[2,4,5,6,3,8,7,1]
[6,4,5,8,7,2,1,3]=>[3,1,2,7,8,5,4,6]
[5,8,1,7,2,4,3,6]=>[6,3,4,2,7,1,8,5]
[4,6,7,8,3,1,2,5]=>[5,2,1,3,8,7,6,4]
[5,3,4,6,8,1,2,7]=>[7,2,1,8,6,4,3,5]
[3,6,4,5,8,1,2,7]=>[7,2,1,8,5,4,6,3]
[6,4,1,3,7,5,2,8]=>[8,2,5,7,3,1,4,6]
[5,7,1,6,4,3,2,8]=>[8,2,3,4,6,1,7,5]
[6,8,5,4,2,3,1,7]=>[7,1,3,2,4,5,8,6]
[5,8,1,6,4,2,3,7]=>[7,3,2,4,6,1,8,5]
[3,8,6,5,2,1,4,7]=>[7,4,1,2,5,6,8,3]
[1,4,8,7,2,5,3,6]=>[6,3,5,2,7,8,4,1]
[6,8,1,7,2,4,3,5]=>[5,3,4,2,7,1,8,6]
[2,7,6,8,4,1,3,5]=>[5,3,1,4,8,6,7,2]
[6,5,8,3,2,4,1,7]=>[7,1,4,2,3,8,5,6]
[2,5,7,3,8,1,4,6]=>[6,4,1,8,3,7,5,2]
[6,4,1,3,2,8,7,5]=>[5,7,8,2,3,1,4,6]
[6,5,2,3,8,7,4,1]=>[1,4,7,8,3,2,5,6]
[1,5,6,2,3,8,7,4]=>[4,7,8,3,2,6,5,1]
[7,1,4,5,2,6,3,8]=>[8,3,6,2,5,4,1,7]
[6,4,1,5,3,7,8,2]=>[2,8,7,3,5,1,4,6]
[8,3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3,8]
[5,6,8,3,4,7,1,2]=>[2,1,7,4,3,8,6,5]
[5,7,8,2,3,4,6,1]=>[1,6,4,3,2,8,7,5]
[5,7,2,8,3,4,1,6]=>[6,1,4,3,8,2,7,5]
[3,7,4,5,8,6,1,2]=>[2,1,6,8,5,4,7,3]
[6,4,2,7,8,1,5,3]=>[3,5,1,8,7,2,4,6]
[2,5,1,6,3,8,7,4]=>[4,7,8,3,6,1,5,2]
[3,5,2,7,6,8,1,4]=>[4,1,8,6,7,2,5,3]
[3,6,2,7,5,8,1,4]=>[4,1,8,5,7,2,6,3]
[1,5,4,7,2,8,6,3]=>[3,6,8,2,7,4,5,1]
[3,6,4,7,1,8,2,5]=>[5,2,8,1,7,4,6,3]
[2,6,3,7,1,8,4,5]=>[5,4,8,1,7,3,6,2]
[2,6,1,7,3,8,5,4]=>[4,5,8,3,7,1,6,2]
[2,6,4,7,1,8,5,3]=>[3,5,8,1,7,4,6,2]
[2,5,1,7,6,8,4,3]=>[3,4,8,6,7,1,5,2]
[2,6,5,7,4,8,1,3]=>[3,1,8,4,7,5,6,2]
[2,6,4,7,1,8,3,5]=>[5,3,8,1,7,4,6,2]
[2,6,4,7,3,8,1,5]=>[5,1,8,3,7,4,6,2]
[1,6,5,7,3,8,2,4]=>[4,2,8,3,7,5,6,1]
[1,8,2,4,5,6,3,7]=>[7,3,6,5,4,2,8,1]
[1,8,5,3,7,6,2,4]=>[4,2,6,7,3,5,8,1]
[1,8,5,7,6,4,2,3]=>[3,2,4,6,7,5,8,1]
[1,8,3,7,4,2,6,5]=>[5,6,2,4,7,3,8,1]
[6,5,1,3,7,4,2,8]=>[8,2,4,7,3,1,5,6]
[7,1,8,2,4,3,5,6]=>[6,5,3,4,2,8,1,7]
[7,6,1,8,3,4,2,5]=>[5,2,4,3,8,1,6,7]
[6,4,2,3,8,7,5,1]=>[1,5,7,8,3,2,4,6]
[6,4,2,3,7,5,1,8]=>[8,1,5,7,3,2,4,6]
[5,1,3,2,7,6,4,8]=>[8,4,6,7,2,3,1,5]
[5,1,3,2,8,7,6,4]=>[4,6,7,8,2,3,1,5]
[5,1,3,2,8,6,4,7]=>[7,4,6,8,2,3,1,5]
[6,5,1,3,8,4,2,7]=>[7,2,4,8,3,1,5,6]
[6,1,4,2,7,8,3,5]=>[5,3,8,7,2,4,1,6]
[6,5,1,3,7,8,4,2]=>[2,4,8,7,3,1,5,6]
[5,1,3,2,7,8,6,4]=>[4,6,8,7,2,3,1,5]
[4,1,3,2,6,5,7,8]=>[8,7,5,6,2,3,1,4]
[4,1,3,2,7,8,6,5]=>[5,6,8,7,2,3,1,4]
[5,6,8,2,4,7,1,3]=>[3,1,7,4,2,8,6,5]
[5,6,7,1,4,8,2,3]=>[3,2,8,4,1,7,6,5]
[4,1,3,2,7,6,5,8]=>[8,5,6,7,2,3,1,4]
[4,1,3,2,7,5,6,8]=>[8,6,5,7,2,3,1,4]
[6,7,4,2,3,8,5,1]=>[1,5,8,3,2,4,7,6]
[5,6,1,4,7,3,2,8]=>[8,2,3,7,4,1,6,5]
[5,8,6,1,4,7,3,2]=>[2,3,7,4,1,6,8,5]
[5,8,7,3,2,4,6,1]=>[1,6,4,2,3,7,8,5]
[4,1,3,2,6,7,5,8]=>[8,5,7,6,2,3,1,4]
[4,1,3,2,5,8,7,6]=>[6,7,8,5,2,3,1,4]
[4,1,3,2,5,8,6,7]=>[7,6,8,5,2,3,1,4]
[5,1,3,2,6,8,4,7]=>[7,4,8,6,2,3,1,5]
[5,7,1,4,6,8,2,3]=>[3,2,8,6,4,1,7,5]
[4,1,3,2,5,6,8,7]=>[7,8,6,5,2,3,1,4]
[6,1,4,8,3,7,5,2]=>[2,5,7,3,8,4,1,6]
[7,8,2,3,6,4,1,5]=>[5,1,4,6,3,2,8,7]
[6,7,4,3,2,8,1,5]=>[5,1,8,2,3,4,7,6]
[2,5,8,6,4,3,1,7]=>[7,1,3,4,6,8,5,2]
[2,4,1,7,5,6,3,8]=>[8,3,6,5,7,1,4,2]
[6,5,1,3,2,7,8,4]=>[4,8,7,2,3,1,5,6]
[4,1,3,5,2,8,7,6]=>[6,7,8,2,5,3,1,4]
[4,5,8,6,3,7,1,2]=>[2,1,7,3,6,8,5,4]
[6,2,7,4,1,8,3,5]=>[5,3,8,1,4,7,2,6]
[3,2,4,6,8,1,7,5]=>[5,7,1,8,6,4,2,3]
[6,1,7,8,3,4,2,5]=>[5,2,4,3,8,7,1,6]
[2,4,7,8,5,1,6,3]=>[3,6,1,5,8,7,4,2]
[1,3,2,5,8,4,7,6]=>[6,7,4,8,5,2,3,1]
[2,1,3,5,8,4,7,6]=>[6,7,4,8,5,3,1,2]
[1,4,3,7,6,2,8,5]=>[5,8,2,6,7,3,4,1]
[1,4,2,7,6,3,8,5]=>[5,8,3,6,7,2,4,1]
[1,5,4,2,7,3,8,6]=>[6,8,3,7,2,4,5,1]
[3,6,5,1,7,8,2,4]=>[4,2,8,7,1,5,6,3]
[1,6,2,5,7,3,8,4]=>[4,8,3,7,5,2,6,1]
[1,4,7,8,2,6,3,5]=>[5,3,6,2,8,7,4,1]
[1,2,7,6,8,5,3,4]=>[4,3,5,8,6,7,2,1]
[2,4,6,1,7,8,5,3]=>[3,5,8,7,1,6,4,2]
[1,4,3,8,2,5,7,6]=>[6,7,5,2,8,3,4,1]
[1,5,7,3,6,4,2,8]=>[8,2,4,6,3,7,5,1]
[1,6,7,2,4,8,3,5]=>[5,3,8,4,2,7,6,1]
[3,7,2,8,4,1,5,6]=>[6,5,1,4,8,2,7,3]
[5,1,4,6,3,8,2,7]=>[7,2,8,3,6,4,1,5]
[5,4,3,6,2,8,1,7]=>[7,1,8,2,6,3,4,5]
[2,6,3,5,8,1,4,7]=>[7,4,1,8,5,3,6,2]
[2,7,1,6,8,4,3,5]=>[5,3,4,8,6,1,7,2]
[7,2,6,4,1,8,3,5]=>[5,3,8,1,4,6,2,7]
[3,6,1,5,8,2,7,4]=>[4,7,2,8,5,1,6,3]
[5,3,4,1,7,8,6,2]=>[2,6,8,7,1,4,3,5]
[4,7,6,5,8,2,3,1]=>[1,3,2,8,5,6,7,4]
[5,3,4,7,8,6,2,1]=>[1,2,6,8,7,4,3,5]
[2,3,8,4,5,6,1,7]=>[7,1,6,5,4,8,3,2]
[2,3,8,4,5,7,1,6]=>[6,1,7,5,4,8,3,2]
[4,3,5,7,2,1,8,6]=>[6,8,1,2,7,5,3,4]
[4,3,5,7,2,8,6,1]=>[1,6,8,2,7,5,3,4]
[2,3,8,4,7,1,5,6]=>[6,5,1,7,4,8,3,2]
[3,4,1,7,6,5,8,2]=>[2,8,5,6,7,1,4,3]
[4,1,8,3,2,6,5,7]=>[7,5,6,2,3,8,1,4]
[4,3,7,5,1,6,8,2]=>[2,8,6,1,5,7,3,4]
[6,1,3,8,2,4,5,7]=>[7,5,4,2,8,3,1,6]
[8,2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2,8]
[5,7,2,8,3,1,4,6]=>[6,4,1,3,8,2,7,5]
[4,2,7,5,6,8,3,1]=>[1,3,8,6,5,7,2,4]
[1,2,6,8,4,3,5,7]=>[7,5,3,4,8,6,2,1]
[7,2,6,3,1,8,4,5]=>[5,4,8,1,3,6,2,7]
[5,8,4,1,3,7,2,6]=>[6,2,7,3,1,4,8,5]
[7,2,4,6,5,8,3,1]=>[1,3,8,5,6,4,2,7]
[5,8,4,1,7,3,2,6]=>[6,2,3,7,1,4,8,5]
[6,2,3,5,8,4,7,1]=>[1,7,4,8,5,3,2,6]
[3,4,2,1,6,8,5,7]=>[7,5,8,6,1,2,4,3]
[6,8,4,3,1,2,5,7]=>[7,5,2,1,3,4,8,6]
[5,7,2,8,4,3,1,6]=>[6,1,3,4,8,2,7,5]
[8,1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1,8]
[3,4,7,1,5,6,2,8]=>[8,2,6,5,1,7,4,3]
[4,8,2,6,5,3,7,1]=>[1,7,3,5,6,2,8,4]
[4,8,7,2,5,6,1,3]=>[3,1,6,5,2,7,8,4]
[5,8,6,4,7,3,2,1]=>[1,2,3,7,4,6,8,5]
[8,5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5,8]
[2,8,6,3,5,1,7,4]=>[4,7,1,5,3,6,8,2]
[8,3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3,8]
[8,4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4,8]
[8,3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3,8]
[8,5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5,8]
[3,8,6,2,5,4,7,1]=>[1,7,4,5,2,6,8,3]
[3,8,4,6,5,2,7,1]=>[1,7,2,5,6,4,8,3]
[8,1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1,8]
[8,3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3,8]
[8,4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4,8]
[8,1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1,8]
[8,1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1,8]
[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]
[7,1,3,5,2,8,6,4]=>[4,6,8,2,5,3,1,7]
[8,6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6,8]
[8,6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6,8]
[5,8,6,2,1,4,7,3]=>[3,7,4,1,2,6,8,5]
[8,5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5,8]
[6,8,4,3,2,1,7,5]=>[5,7,1,2,3,4,8,6]
[2,1,8,5,4,3,7,6]=>[6,7,3,4,5,8,1,2]
[7,1,6,4,8,5,3,2]=>[2,3,5,8,4,6,1,7]
[6,2,8,5,4,1,3,7]=>[7,3,1,4,5,8,2,6]
[6,4,8,5,3,2,7,1]=>[1,7,2,3,5,8,4,6]
[3,6,1,8,5,4,2,7]=>[7,2,4,5,8,1,6,3]
[4,7,8,5,3,2,6,1]=>[1,6,2,3,5,8,7,4]
[3,8,5,4,2,6,7,1]=>[1,7,6,2,4,5,8,3]
[7,4,2,6,3,8,5,1]=>[1,5,8,3,6,2,4,7]
[4,8,5,6,2,7,1,3]=>[3,1,7,2,6,5,8,4]
[4,5,8,6,2,7,1,3]=>[3,1,7,2,6,8,5,4]
[7,5,6,3,2,8,4,1]=>[1,4,8,2,3,6,5,7]
[4,8,6,5,7,3,1,2]=>[2,1,3,7,5,6,8,4]
[5,3,2,8,6,7,1,4]=>[4,1,7,6,8,2,3,5]
[5,7,6,3,8,4,2,1]=>[1,2,4,8,3,6,7,5]
[8,5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5,8]
[8,4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4,8]
[4,6,8,5,7,3,1,2]=>[2,1,3,7,5,8,6,4]
[6,8,5,4,7,2,3,1]=>[1,3,2,7,4,5,8,6]
[2,6,7,1,8,5,4,3]=>[3,4,5,8,1,7,6,2]
[3,4,8,1,2,6,5,7]=>[7,5,6,2,1,8,4,3]
[3,2,5,6,7,1,4,8]=>[8,4,1,7,6,5,2,3]
[2,5,7,3,4,8,1,6]=>[6,1,8,4,3,7,5,2]
[2,7,3,5,6,1,4,8]=>[8,4,1,6,5,3,7,2]
[5,2,4,7,8,1,3,6]=>[6,3,1,8,7,4,2,5]
[4,8,5,6,1,2,7,3]=>[3,7,2,1,6,5,8,4]
[2,5,6,8,7,1,4,3]=>[3,4,1,7,8,6,5,2]
[1,7,8,5,4,6,2,3]=>[3,2,6,4,5,8,7,1]
[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]
[6,3,1,4,5,8,7,2]=>[2,7,8,5,4,1,3,6]
[6,1,2,5,3,8,7,4]=>[4,7,8,3,5,2,1,6]
[6,1,3,4,8,7,2,5]=>[5,2,7,8,4,3,1,6]
[6,8,7,1,5,2,4,3]=>[3,4,2,5,1,7,8,6]
[5,3,8,1,2,6,7,4]=>[4,7,6,2,1,8,3,5]
[2,8,5,3,7,6,4,1]=>[1,4,6,7,3,5,8,2]
[1,6,4,2,7,8,5,3]=>[3,5,8,7,2,4,6,1]
[5,1,2,4,6,7,3,8]=>[8,3,7,6,4,2,1,5]
[5,1,3,6,7,2,4,8]=>[8,4,2,7,6,3,1,5]
[3,1,4,7,5,8,6,2]=>[2,6,8,5,7,4,1,3]
[8,3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3,8]
[8,2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2,8]
[2,3,7,5,8,6,1,4]=>[4,1,6,8,5,7,3,2]
[3,8,5,1,2,4,7,6]=>[6,7,4,2,1,5,8,3]
[3,4,7,5,2,8,6,1]=>[1,6,8,2,5,7,4,3]
[1,3,6,4,8,2,7,5]=>[5,7,2,8,4,6,3,1]
[1,6,2,7,8,3,5,4]=>[4,5,3,8,7,2,6,1]
[6,8,1,5,3,4,7,2]=>[2,7,4,3,5,1,8,6]
[1,7,6,2,8,5,3,4]=>[4,3,5,8,2,6,7,1]
[6,4,7,3,5,8,2,1]=>[1,2,8,5,3,7,4,6]
[1,5,8,6,4,7,2,3]=>[3,2,7,4,6,8,5,1]
[8,6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6,8]
[5,6,2,8,1,7,3,4]=>[4,3,7,1,8,2,6,5]
[6,8,4,5,1,3,7,2]=>[2,7,3,1,5,4,8,6]
[7,3,8,1,6,2,5,4]=>[4,5,2,6,1,8,3,7]
[2,5,3,7,4,1,6,8]=>[8,6,1,4,7,3,5,2]
[2,6,7,3,4,1,5,8]=>[8,5,1,4,3,7,6,2]
[2,7,6,3,4,1,5,8]=>[8,5,1,4,3,6,7,2]
[5,1,3,7,4,2,6,8]=>[8,6,2,4,7,3,1,5]
[6,2,7,3,4,1,5,8]=>[8,5,1,4,3,7,2,6]
[5,2,3,8,1,4,6,7]=>[7,6,4,1,8,3,2,5]
[1,6,8,3,2,4,5,7]=>[7,5,4,2,3,8,6,1]
[2,5,3,8,1,4,6,7]=>[7,6,4,1,8,3,5,2]
[2,5,3,1,8,4,6,7]=>[7,6,4,8,1,3,5,2]
[8,6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6,8]
[6,2,5,3,7,4,8,1]=>[1,8,4,7,3,5,2,6]
[8,5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5,8]
[8,5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5,8]
[7,4,6,5,8,2,3,1]=>[1,3,2,8,5,6,4,7]
[7,3,6,5,8,2,4,1]=>[1,4,2,8,5,6,3,7]
[7,3,6,4,8,2,5,1]=>[1,5,2,8,4,6,3,7]
[7,3,5,4,8,2,6,1]=>[1,6,2,8,4,5,3,7]
[7,3,6,8,4,5,1,2]=>[2,1,5,4,8,6,3,7]
[2,6,5,7,4,1,8,3]=>[3,8,1,4,7,5,6,2]
[1,6,5,7,4,2,8,3]=>[3,8,2,4,7,5,6,1]
[2,3,5,7,1,8,6,4]=>[4,6,8,1,7,5,3,2]
[6,4,5,1,8,2,3,7]=>[7,3,2,8,1,5,4,6]
[1,2,7,4,8,5,6,3]=>[3,6,5,8,4,7,2,1]
[7,2,5,6,3,8,4,1]=>[1,4,8,3,6,5,2,7]
[1,6,7,4,8,5,2,3]=>[3,2,5,8,4,7,6,1]
[2,6,7,4,8,5,1,3]=>[3,1,5,8,4,7,6,2]
[4,7,8,5,1,3,6,2]=>[2,6,3,1,5,8,7,4]
[1,4,8,2,5,3,6,7]=>[7,6,3,5,2,8,4,1]
[1,5,3,6,2,8,4,7]=>[7,4,8,2,6,3,5,1]
[4,6,1,3,7,2,8,5]=>[5,8,2,7,3,1,6,4]
[2,6,3,4,8,5,1,7]=>[7,1,5,8,4,3,6,2]
[7,6,3,4,8,5,2,1]=>[1,2,5,8,4,3,6,7]
[1,6,3,4,8,5,2,7]=>[7,2,5,8,4,3,6,1]
[1,7,3,4,8,5,6,2]=>[2,6,5,8,4,3,7,1]
[7,4,8,2,5,3,6,1]=>[1,6,3,5,2,8,4,7]
[3,5,4,6,8,1,7,2]=>[2,7,1,8,6,4,5,3]
[3,2,7,5,8,4,6,1]=>[1,6,4,8,5,7,2,3]
[2,5,8,6,4,3,7,1]=>[1,7,3,4,6,8,5,2]
[6,4,2,5,7,1,8,3]=>[3,8,1,7,5,2,4,6]
[2,7,5,4,6,8,1,3]=>[3,1,8,6,4,5,7,2]
[8,1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1,8]
[8,3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3,8]
[8,1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1,8]
[6,8,4,5,3,7,2,1]=>[1,2,7,3,5,4,8,6]
[7,5,4,6,2,8,3,1]=>[1,3,8,2,6,4,5,7]
[6,8,4,5,3,2,7,1]=>[1,7,2,3,5,4,8,6]
[6,7,5,4,2,8,3,1]=>[1,3,8,2,4,5,7,6]
[5,7,6,4,8,2,3,1]=>[1,3,2,8,4,6,7,5]
[5,6,3,4,2,8,7,1]=>[1,7,8,2,4,3,6,5]
[7,5,8,2,3,6,4,1]=>[1,4,6,3,2,8,5,7]
[7,2,4,6,5,8,1,3]=>[3,1,8,5,6,4,2,7]
[4,6,1,5,3,7,8,2]=>[2,8,7,3,5,1,6,4]
[6,3,5,4,7,8,1,2]=>[2,1,8,7,4,5,3,6]
[2,5,7,4,6,8,1,3]=>[3,1,8,6,4,7,5,2]
[2,7,8,1,5,3,6,4]=>[4,6,3,5,1,8,7,2]
[6,5,7,1,2,4,3,8]=>[8,3,4,2,1,7,5,6]
[2,5,6,4,1,3,8,7]=>[7,8,3,1,4,6,5,2]
[4,6,1,3,5,7,2,8]=>[8,2,7,5,3,1,6,4]
[3,4,6,2,5,1,8,7]=>[7,8,1,5,2,6,4,3]
[3,2,7,5,8,1,6,4]=>[4,6,1,8,5,7,2,3]
[4,3,6,8,5,2,1,7]=>[7,1,2,5,8,6,3,4]
[4,5,3,2,1,8,6,7]=>[7,6,8,1,2,3,5,4]
[3,6,5,8,1,7,4,2]=>[2,4,7,1,8,5,6,3]
[4,1,6,8,5,2,3,7]=>[7,3,2,5,8,6,1,4]
[4,5,2,8,6,7,1,3]=>[3,1,7,6,8,2,5,4]
[4,5,2,8,6,7,3,1]=>[1,3,7,6,8,2,5,4]
[3,5,8,6,2,4,7,1]=>[1,7,4,2,6,8,5,3]
[3,2,4,5,8,6,1,7]=>[7,1,6,8,5,4,2,3]
[4,5,2,1,3,8,6,7]=>[7,6,8,3,1,2,5,4]
[4,2,3,6,8,5,1,7]=>[7,1,5,8,6,3,2,4]
[4,5,1,3,2,8,6,7]=>[7,6,8,2,3,1,5,4]
[3,4,5,8,6,1,7,2]=>[2,7,1,6,8,5,4,3]
[3,4,5,8,6,1,2,7]=>[7,2,1,6,8,5,4,3]
[6,8,5,2,4,7,1,3]=>[3,1,7,4,2,5,8,6]
[6,4,1,3,7,8,2,5]=>[5,2,8,7,3,1,4,6]
[4,3,7,8,1,5,6,2]=>[2,6,5,1,8,7,3,4]
[8,3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3,8]
[6,3,1,2,5,4,8,7]=>[7,8,4,5,2,1,3,6]
[7,3,1,2,5,4,8,6]=>[6,8,4,5,2,1,3,7]
[8,2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2,8]
[1,5,8,2,4,3,7,6]=>[6,7,3,4,2,8,5,1]
[1,4,8,2,5,3,7,6]=>[6,7,3,5,2,8,4,1]
[6,2,5,3,1,4,8,7]=>[7,8,4,1,3,5,2,6]
[5,2,6,3,1,4,8,7]=>[7,8,4,1,3,6,2,5]
[3,2,6,4,1,5,8,7]=>[7,8,5,1,4,6,2,3]
[3,2,7,4,1,5,8,6]=>[6,8,5,1,4,7,2,3]
[4,2,7,3,1,5,8,6]=>[6,8,5,1,3,7,2,4]
[6,2,7,3,1,4,8,5]=>[5,8,4,1,3,7,2,6]
[8,3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3,8]
[4,3,7,8,2,6,5,1]=>[1,5,6,2,8,7,3,4]
[3,8,5,1,2,6,7,4]=>[4,7,6,2,1,5,8,3]
[2,4,7,8,3,6,5,1]=>[1,5,6,3,8,7,4,2]
[5,4,7,8,3,6,1,2]=>[2,1,6,3,8,7,4,5]
[6,8,1,3,2,5,7,4]=>[4,7,5,2,3,1,8,6]
[1,4,8,5,7,2,3,6]=>[6,3,2,7,5,8,4,1]
[1,8,7,3,2,4,5,6]=>[6,5,4,2,3,7,8,1]
[8,6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6,8]
[8,6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6,8]
[5,6,3,2,8,7,1,4]=>[4,1,7,8,2,3,6,5]
[5,1,6,7,8,3,2,4]=>[4,2,3,8,7,6,1,5]
[1,5,6,3,7,2,4,8]=>[8,4,2,7,3,6,5,1]
[1,5,6,7,4,2,3,8]=>[8,3,2,4,7,6,5,1]
[5,1,6,7,3,4,2,8]=>[8,2,4,3,7,6,1,5]
[8,6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6,8]
[6,8,5,1,7,4,2,3]=>[3,2,4,7,1,5,8,6]
[8,4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4,8]
[4,8,5,2,3,1,6,7]=>[7,6,1,3,2,5,8,4]
[5,4,8,3,1,2,6,7]=>[7,6,2,1,3,8,4,5]
[8,4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4,8]
[6,8,5,1,7,3,4,2]=>[2,4,3,7,1,5,8,6]
[6,2,7,3,8,1,4,5]=>[5,4,1,8,3,7,2,6]
[8,4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4,8]
[1,7,8,3,6,5,2,4]=>[4,2,5,6,3,8,7,1]
[4,6,7,5,1,8,2,3]=>[3,2,8,1,5,7,6,4]
[3,5,2,6,8,7,4,1]=>[1,4,7,8,6,2,5,3]
[7,3,6,8,4,1,2,5]=>[5,2,1,4,8,6,3,7]
[6,4,2,3,7,5,8,1]=>[1,8,5,7,3,2,4,6]
[6,3,7,5,1,2,8,4]=>[4,8,2,1,5,7,3,6]
[7,2,5,4,8,6,3,1]=>[1,3,6,8,4,5,2,7]
[6,2,3,8,7,4,5,1]=>[1,5,4,7,8,3,2,6]
[7,1,2,8,4,6,5,3]=>[3,5,6,4,8,2,1,7]
[3,5,8,1,2,7,6,4]=>[4,6,7,2,1,8,5,3]
[1,4,3,6,8,5,2,7]=>[7,2,5,8,6,3,4,1]
[7,6,2,8,5,3,4,1]=>[1,4,3,5,8,2,6,7]
[6,8,3,5,4,7,2,1]=>[1,2,7,4,5,3,8,6]
[8,2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2,8]
[8,3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3,8]
[8,5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5,8]
[4,8,2,5,6,3,7,1]=>[1,7,3,6,5,2,8,4]
[8,1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1,8]
[4,7,1,5,6,3,2,8]=>[8,2,3,6,5,1,7,4]
[4,5,7,1,6,3,8,2]=>[2,8,3,6,1,7,5,4]
[2,7,1,4,8,3,6,5]=>[5,6,3,8,4,1,7,2]
[2,7,1,5,6,8,4,3]=>[3,4,8,6,5,1,7,2]
[2,3,1,8,7,4,6,5]=>[5,6,4,7,8,1,3,2]
[4,6,8,2,1,5,3,7]=>[7,3,5,1,2,8,6,4]
[5,6,8,4,7,2,3,1]=>[1,3,2,7,4,8,6,5]
[4,5,7,3,6,1,2,8]=>[8,2,1,6,3,7,5,4]
[4,5,8,2,6,1,7,3]=>[3,7,1,6,2,8,5,4]
[3,4,5,7,2,1,6,8]=>[8,6,1,2,7,5,4,3]
[4,5,6,8,3,2,7,1]=>[1,7,2,3,8,6,5,4]
[4,5,7,2,6,1,8,3]=>[3,8,1,6,2,7,5,4]
[3,4,5,8,1,6,2,7]=>[7,2,6,1,8,5,4,3]
[4,6,5,7,2,3,8,1]=>[1,8,3,2,7,5,6,4]
[3,6,7,2,5,8,4,1]=>[1,4,8,5,2,7,6,3]
[5,3,6,7,4,8,1,2]=>[2,1,8,4,7,6,3,5]
[4,2,7,8,3,6,5,1]=>[1,5,6,3,8,7,2,4]
[4,2,7,8,5,6,1,3]=>[3,1,6,5,8,7,2,4]
[5,4,3,7,8,1,6,2]=>[2,6,1,8,7,3,4,5]
[3,5,7,8,4,2,1,6]=>[6,1,2,4,8,7,5,3]
[4,6,7,3,2,8,1,5]=>[5,1,8,2,3,7,6,4]
[4,6,5,3,7,8,1,2]=>[2,1,8,7,3,5,6,4]
[5,6,2,4,7,8,3,1]=>[1,3,8,7,4,2,6,5]
[5,6,3,2,8,4,7,1]=>[1,7,4,8,2,3,6,5]
[5,6,2,8,3,4,7,1]=>[1,7,4,3,8,2,6,5]
[3,7,4,8,1,6,5,2]=>[2,5,6,1,8,4,7,3]
[5,2,4,8,6,7,3,1]=>[1,3,7,6,8,4,2,5]
[5,2,6,4,8,7,3,1]=>[1,3,7,8,4,6,2,5]
[2,4,7,8,6,5,1,3]=>[3,1,5,6,8,7,4,2]
[3,4,2,5,8,1,7,6]=>[6,7,1,8,5,2,4,3]
[5,2,6,7,8,1,4,3]=>[3,4,1,8,7,6,2,5]
[3,2,4,7,8,1,6,5]=>[5,6,1,8,7,4,2,3]
[3,6,4,7,1,5,8,2]=>[2,8,5,1,7,4,6,3]
[2,5,3,1,7,8,4,6]=>[6,4,8,7,1,3,5,2]
[4,8,1,6,5,2,3,7]=>[7,3,2,5,6,1,8,4]
[4,5,7,6,2,3,1,8]=>[8,1,3,2,6,7,5,4]
[4,8,2,7,5,3,1,6]=>[6,1,3,5,7,2,8,4]
[2,4,7,6,5,1,8,3]=>[3,8,1,5,6,7,4,2]
[1,2,4,6,5,8,3,7]=>[7,3,8,5,6,4,2,1]
[2,8,7,1,6,4,3,5]=>[5,3,4,6,1,7,8,2]
[1,3,7,8,6,4,5,2]=>[2,5,4,6,8,7,3,1]
[4,8,5,6,3,1,2,7]=>[7,2,1,3,6,5,8,4]
[5,4,2,3,1,7,8,6]=>[6,8,7,1,3,2,4,5]
[2,5,1,7,6,3,4,8]=>[8,4,3,6,7,1,5,2]
[4,3,1,5,2,6,7,8]=>[8,7,6,2,5,1,3,4]
[3,5,2,1,4,7,8,6]=>[6,8,7,4,1,2,5,3]
[6,2,5,1,8,7,4,3]=>[3,4,7,8,1,5,2,6]
[3,5,8,1,7,4,2,6]=>[6,2,4,7,1,8,5,3]
[5,7,1,2,4,8,3,6]=>[6,3,8,4,2,1,7,5]
[5,7,8,1,2,3,6,4]=>[4,6,3,2,1,8,7,5]
[7,5,1,4,3,8,2,6]=>[6,2,8,3,4,1,5,7]
[6,7,8,3,5,2,4,1]=>[1,4,2,5,3,8,7,6]
[1,3,7,8,4,2,5,6]=>[6,5,2,4,8,7,3,1]
[4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]
[4,7,3,2,6,5,8,1]=>[1,8,5,6,2,3,7,4]
[5,1,4,3,7,6,8,2]=>[2,8,6,7,3,4,1,5]
[5,8,6,1,7,2,3,4]=>[4,3,2,7,1,6,8,5]
[6,1,4,8,2,5,7,3]=>[3,7,5,2,8,4,1,6]
[8,1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1,8]
[4,8,3,7,2,6,5,1]=>[1,5,6,2,7,3,8,4]
[5,8,2,6,3,4,7,1]=>[1,7,4,3,6,2,8,5]
[5,1,4,3,8,2,6,7]=>[7,6,2,8,3,4,1,5]
[8,4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4,8]
[3,8,6,7,5,2,4,1]=>[1,4,2,5,7,6,8,3]
[8,2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2,8]
[4,2,8,7,3,6,5,1]=>[1,5,6,3,7,8,2,4]
[3,7,8,6,1,4,5,2]=>[2,5,4,1,6,8,7,3]
[4,6,7,8,2,1,5,3]=>[3,5,1,2,8,7,6,4]
[4,7,6,3,8,1,5,2]=>[2,5,1,8,3,6,7,4]
[2,5,7,4,3,6,8,1]=>[1,8,6,3,4,7,5,2]
[3,7,1,4,8,2,5,6]=>[6,5,2,8,4,1,7,3]
[3,8,1,4,6,2,5,7]=>[7,5,2,6,4,1,8,3]
[5,8,4,6,3,2,1,7]=>[7,1,2,3,6,4,8,5]
[1,8,3,4,6,2,7,5]=>[5,7,2,6,4,3,8,1]
[2,3,5,6,8,7,1,4]=>[4,1,7,8,6,5,3,2]
[2,4,5,3,8,7,1,6]=>[6,1,7,8,3,5,4,2]
[1,3,5,2,6,8,7,4]=>[4,7,8,6,2,5,3,1]
[4,7,5,6,2,8,1,3]=>[3,1,8,2,6,5,7,4]
[2,3,5,8,4,7,1,6]=>[6,1,7,4,8,5,3,2]
[6,7,4,8,5,2,1,3]=>[3,1,2,5,8,4,7,6]
[8,7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7,8]
[7,8,6,2,3,5,1,4]=>[4,1,5,3,2,6,8,7]
[2,8,4,6,7,3,5,1]=>[1,5,3,7,6,4,8,2]
[4,1,6,7,8,2,5,3]=>[3,5,2,8,7,6,1,4]
[8,6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6,8]
[2,5,8,4,6,1,3,7]=>[7,3,1,6,4,8,5,2]
[4,7,8,6,5,1,3,2]=>[2,3,1,5,6,8,7,4]
[8,5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5,8]
[8,4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4,8]
[7,8,4,6,3,5,2,1]=>[1,2,5,3,6,4,8,7]
[5,8,4,6,7,3,2,1]=>[1,2,3,7,6,4,8,5]
[6,8,4,7,3,5,2,1]=>[1,2,5,3,7,4,8,6]
[7,4,5,8,3,6,2,1]=>[1,2,6,3,8,5,4,7]
[8,4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4,8]
[4,5,8,7,3,2,6,1]=>[1,6,2,3,7,8,5,4]
[3,6,4,2,8,1,7,5]=>[5,7,1,8,2,4,6,3]
[2,1,6,5,3,4,7,8]=>[8,7,4,3,5,6,1,2]
[6,1,7,3,5,8,4,2]=>[2,4,8,5,3,7,1,6]
[5,7,1,3,6,8,4,2]=>[2,4,8,6,3,1,7,5]
[6,7,2,3,5,4,1,8]=>[8,1,4,5,3,2,7,6]
[5,8,7,3,6,4,1,2]=>[2,1,4,6,3,7,8,5]
[2,5,7,3,6,4,1,8]=>[8,1,4,6,3,7,5,2]
[5,2,1,7,8,6,4,3]=>[3,4,6,8,7,1,2,5]
[4,5,1,7,6,8,3,2]=>[2,3,8,6,7,1,5,4]
[8,3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3,8]
[8,2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2,8]
[8,3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3,8]
[6,8,7,4,2,3,1,5]=>[5,1,3,2,4,7,8,6]
[3,1,8,7,4,2,5,6]=>[6,5,2,4,7,8,1,3]
[3,4,8,6,2,1,7,5]=>[5,7,1,2,6,8,4,3]
[8,4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4,8]
[2,7,3,1,6,8,4,5]=>[5,4,8,6,1,3,7,2]
[2,4,7,3,1,6,8,5]=>[5,8,6,1,3,7,4,2]
[7,2,4,3,1,8,6,5]=>[5,6,8,1,3,4,2,7]
[4,3,1,2,7,5,8,6]=>[6,8,5,7,2,1,3,4]
[7,4,3,1,2,5,8,6]=>[6,8,5,2,1,3,4,7]
[7,3,4,6,2,1,8,5]=>[5,8,1,2,6,4,3,7]
[3,8,6,2,1,7,4,5]=>[5,4,7,1,2,6,8,3]
[3,1,8,2,4,6,5,7]=>[7,5,6,4,2,8,1,3]
[8,1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1,8]
[8,5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5,8]
[4,8,1,3,6,7,5,2]=>[2,5,7,6,3,1,8,4]
[3,5,8,6,1,7,4,2]=>[2,4,7,1,6,8,5,3]
[8,1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1,8]
[1,4,8,6,7,3,5,2]=>[2,5,3,7,6,8,4,1]
[4,1,6,7,8,5,3,2]=>[2,3,5,8,7,6,1,4]
[3,7,8,6,4,1,5,2]=>[2,5,1,4,6,8,7,3]
[5,6,7,1,3,4,8,2]=>[2,8,4,3,1,7,6,5]
[4,6,1,5,7,2,3,8]=>[8,3,2,7,5,1,6,4]
[6,5,1,2,7,3,4,8]=>[8,4,3,7,2,1,5,6]
[4,2,7,6,3,8,5,1]=>[1,5,8,3,6,7,2,4]
[5,8,3,7,6,1,2,4]=>[4,2,1,6,7,3,8,5]
[6,8,7,3,5,4,1,2]=>[2,1,4,5,3,7,8,6]
[4,5,8,3,7,1,6,2]=>[2,6,1,7,3,8,5,4]
[4,7,2,1,3,5,6,8]=>[8,6,5,3,1,2,7,4]
[4,7,1,6,5,2,3,8]=>[8,3,2,5,6,1,7,4]
[6,7,2,4,5,1,3,8]=>[8,3,1,5,4,2,7,6]
[7,1,3,4,2,6,5,8]=>[8,5,6,2,4,3,1,7]
[8,6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6,8]
[4,8,5,3,2,7,1,6]=>[6,1,7,2,3,5,8,4]
[5,4,8,1,3,7,2,6]=>[6,2,7,3,1,8,4,5]
[8,4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4,8]
[7,4,5,3,1,8,6,2]=>[2,6,8,1,3,5,4,7]
[5,6,8,7,2,4,3,1]=>[1,3,4,2,7,8,6,5]
[5,7,8,6,4,2,3,1]=>[1,3,2,4,6,8,7,5]
[6,8,7,5,1,3,2,4]=>[4,2,3,1,5,7,8,6]
[3,8,2,6,7,5,1,4]=>[4,1,5,7,6,2,8,3]
[4,7,6,3,8,2,5,1]=>[1,5,2,8,3,6,7,4]
[6,7,4,1,8,2,5,3]=>[3,5,2,8,1,4,7,6]
[5,7,6,8,3,2,4,1]=>[1,4,2,3,8,6,7,5]
[7,6,4,2,8,1,5,3]=>[3,5,1,8,2,4,6,7]
[7,3,4,8,6,1,2,5]=>[5,2,1,6,8,4,3,7]
[6,3,4,8,7,1,2,5]=>[5,2,1,7,8,4,3,6]
[7,4,3,8,6,1,2,5]=>[5,2,1,6,8,3,4,7]
[1,7,5,3,6,8,2,4]=>[4,2,8,6,3,5,7,1]
[3,6,4,8,7,1,2,5]=>[5,2,1,7,8,4,6,3]
[2,7,4,8,1,6,3,5]=>[5,3,6,1,8,4,7,2]
[5,7,4,6,8,2,3,1]=>[1,3,2,8,6,4,7,5]
[2,6,5,7,8,1,3,4]=>[4,3,1,8,7,5,6,2]
[4,6,5,7,8,2,3,1]=>[1,3,2,8,7,5,6,4]
[5,3,1,6,7,8,2,4]=>[4,2,8,7,6,1,3,5]
[6,3,1,5,7,8,2,4]=>[4,2,8,7,5,1,3,6]
[7,3,1,5,6,8,2,4]=>[4,2,8,6,5,1,3,7]
[3,4,7,8,6,1,2,5]=>[5,2,1,6,8,7,4,3]
[2,1,4,7,8,6,3,5]=>[5,3,6,8,7,4,1,2]
[2,1,5,7,6,8,3,4]=>[4,3,8,6,7,5,1,2]
[3,5,7,6,8,1,2,4]=>[4,2,1,8,6,7,5,3]
[2,4,5,8,1,6,3,7]=>[7,3,6,1,8,5,4,2]
[3,4,6,8,2,5,7,1]=>[1,7,5,2,8,6,4,3]
[1,8,7,5,2,6,4,3]=>[3,4,6,2,5,7,8,1]
[4,3,5,8,1,6,2,7]=>[7,2,6,1,8,5,3,4]
[1,8,4,6,3,2,5,7]=>[7,5,2,3,6,4,8,1]
[1,8,5,6,4,2,3,7]=>[7,3,2,4,6,5,8,1]
[6,7,1,8,2,4,3,5]=>[5,3,4,2,8,1,7,6]
[2,4,5,3,8,1,6,7]=>[7,6,1,8,3,5,4,2]
[2,6,8,3,7,5,4,1]=>[1,4,5,7,3,8,6,2]
[3,5,8,1,6,7,4,2]=>[2,4,7,6,1,8,5,3]
[1,8,7,6,2,4,5,3]=>[3,5,4,2,6,7,8,1]
[3,4,2,5,8,1,6,7]=>[7,6,1,8,5,2,4,3]
[6,4,8,5,7,3,1,2]=>[2,1,3,7,5,8,4,6]
[6,2,4,7,1,5,8,3]=>[3,8,5,1,7,4,2,6]
[1,6,4,7,2,5,8,3]=>[3,8,5,2,7,4,6,1]
[2,7,5,1,8,6,3,4]=>[4,3,6,8,1,5,7,2]
[6,8,1,3,2,4,7,5]=>[5,7,4,2,3,1,8,6]
[8,5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5,8]
[8,3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3,8]
[4,7,1,6,5,3,8,2]=>[2,8,3,5,6,1,7,4]
[8,2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2,8]
[8,4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4,8]
[4,1,5,6,3,7,8,2]=>[2,8,7,3,6,5,1,4]
[5,6,1,7,4,8,3,2]=>[2,3,8,4,7,1,6,5]
[1,7,5,6,4,8,2,3]=>[3,2,8,4,6,5,7,1]
[2,4,8,3,5,1,6,7]=>[7,6,1,5,3,8,4,2]
[2,4,8,5,7,3,1,6]=>[6,1,3,7,5,8,4,2]
[4,3,6,7,1,2,8,5]=>[5,8,2,1,7,6,3,4]
[8,3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3,8]
[2,5,8,6,3,7,1,4]=>[4,1,7,3,6,8,5,2]
[2,5,7,3,4,6,1,8]=>[8,1,6,4,3,7,5,2]
[2,5,4,8,1,3,6,7]=>[7,6,3,1,8,4,5,2]
[7,2,5,3,1,6,8,4]=>[4,8,6,1,3,5,2,7]
[8,3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3,8]
[6,3,1,7,2,8,4,5]=>[5,4,8,2,7,1,3,6]
[2,3,5,4,7,8,1,6]=>[6,1,8,7,4,5,3,2]
[4,3,5,2,7,8,1,6]=>[6,1,8,7,2,5,3,4]
[1,3,6,7,4,8,2,5]=>[5,2,8,4,7,6,3,1]
[7,2,6,4,5,8,1,3]=>[3,1,8,5,4,6,2,7]
[5,4,2,3,7,8,1,6]=>[6,1,8,7,3,2,4,5]
[2,1,4,7,6,8,3,5]=>[5,3,8,6,7,4,1,2]
[4,1,2,7,6,8,3,5]=>[5,3,8,6,7,2,1,4]
[6,2,1,5,8,7,4,3]=>[3,4,7,8,5,1,2,6]
[7,2,6,5,4,8,1,3]=>[3,1,8,4,5,6,2,7]
[4,5,2,3,7,8,1,6]=>[6,1,8,7,3,2,5,4]
[3,4,2,5,7,8,1,6]=>[6,1,8,7,5,2,4,3]
[7,2,5,4,6,8,1,3]=>[3,1,8,6,4,5,2,7]
[5,3,4,2,7,8,1,6]=>[6,1,8,7,2,4,3,5]
[5,3,4,6,1,8,2,7]=>[7,2,8,1,6,4,3,5]
[4,7,8,5,1,2,6,3]=>[3,6,2,1,5,8,7,4]
[2,5,7,4,8,3,1,6]=>[6,1,3,8,4,7,5,2]
[4,1,6,8,7,2,5,3]=>[3,5,2,7,8,6,1,4]
[7,3,4,8,6,5,2,1]=>[1,2,5,6,8,4,3,7]
[4,5,7,1,8,2,6,3]=>[3,6,2,8,1,7,5,4]
[7,2,4,1,3,8,6,5]=>[5,6,8,3,1,4,2,7]
[6,1,3,5,2,8,7,4]=>[4,7,8,2,5,3,1,6]
[2,7,1,5,3,8,6,4]=>[4,6,8,3,5,1,7,2]
[7,4,6,5,2,3,1,8]=>[8,1,3,2,5,6,4,7]
[3,5,7,2,8,4,1,6]=>[6,1,4,8,2,7,5,3]
[2,4,3,8,5,1,7,6]=>[6,7,1,5,8,3,4,2]
[7,4,8,2,3,1,6,5]=>[5,6,1,3,2,8,4,7]
[7,3,2,1,4,8,6,5]=>[5,6,8,4,1,2,3,7]
[2,8,3,4,1,7,6,5]=>[5,6,7,1,4,3,8,2]
[4,2,7,3,5,1,8,6]=>[6,8,1,5,3,7,2,4]
[7,2,6,1,8,4,5,3]=>[3,5,4,8,1,6,2,7]
[6,1,7,2,4,8,5,3]=>[3,5,8,4,2,7,1,6]
[4,7,6,8,2,5,3,1]=>[1,3,5,2,8,6,7,4]
[2,6,7,1,4,5,8,3]=>[3,8,5,4,1,7,6,2]
[6,3,7,1,8,5,4,2]=>[2,4,5,8,1,7,3,6]
[7,3,4,6,2,5,8,1]=>[1,8,5,2,6,4,3,7]
[5,7,1,6,8,3,4,2]=>[2,4,3,8,6,1,7,5]
[1,6,7,3,5,8,4,2]=>[2,4,8,5,3,7,6,1]
[8,7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7,8]
[8,7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7,8]
[2,8,1,5,7,6,4,3]=>[3,4,6,7,5,1,8,2]
[8,1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1,8]
[8,7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7,8]
[8,7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7,8]
[7,1,2,5,8,6,4,3]=>[3,4,6,8,5,2,1,7]
[7,1,3,8,2,6,4,5]=>[5,4,6,2,8,3,1,7]
[2,5,8,3,6,7,1,4]=>[4,1,7,6,3,8,5,2]
[2,6,8,5,4,7,1,3]=>[3,1,7,4,5,8,6,2]
[2,4,7,6,1,3,8,5]=>[5,8,3,1,6,7,4,2]
[5,2,6,7,1,4,3,8]=>[8,3,4,1,7,6,2,5]
[2,4,1,5,7,6,3,8]=>[8,3,6,7,5,1,4,2]
[6,2,5,3,4,7,1,8]=>[8,1,7,4,3,5,2,6]
[6,4,8,3,1,5,2,7]=>[7,2,5,1,3,8,4,6]
[2,7,3,4,1,5,8,6]=>[6,8,5,1,4,3,7,2]
[7,3,1,6,2,5,8,4]=>[4,8,5,2,6,1,3,7]
[1,8,4,3,5,2,6,7]=>[7,6,2,5,3,4,8,1]
[2,5,8,1,6,7,3,4]=>[4,3,7,6,1,8,5,2]
[4,1,7,2,5,6,3,8]=>[8,3,6,5,2,7,1,4]
[1,7,2,6,5,3,4,8]=>[8,4,3,5,6,2,7,1]
[2,6,1,7,4,3,5,8]=>[8,5,3,4,7,1,6,2]
[4,2,6,8,3,5,1,7]=>[7,1,5,3,8,6,2,4]
[6,3,8,5,4,1,7,2]=>[2,7,1,4,5,8,3,6]
[6,2,8,3,4,5,1,7]=>[7,1,5,4,3,8,2,6]
[5,8,6,2,4,3,1,7]=>[7,1,3,4,2,6,8,5]
[3,8,2,6,4,5,1,7]=>[7,1,5,4,6,2,8,3]
[2,8,3,4,6,5,1,7]=>[7,1,5,6,4,3,8,2]
[3,6,8,7,4,1,5,2]=>[2,5,1,4,7,8,6,3]
[7,1,5,8,2,4,3,6]=>[6,3,4,2,8,5,1,7]
[1,7,5,6,2,4,3,8]=>[8,3,4,2,6,5,7,1]
[4,7,3,5,1,6,8,2]=>[2,8,6,1,5,3,7,4]
[3,6,1,8,2,5,7,4]=>[4,7,5,2,8,1,6,3]
[7,2,1,8,5,3,6,4]=>[4,6,3,5,8,1,2,7]
[7,2,4,1,3,5,8,6]=>[6,8,5,3,1,4,2,7]
[7,3,4,6,8,2,1,5]=>[5,1,2,8,6,4,3,7]
[5,1,3,7,2,8,4,6]=>[6,4,8,2,7,3,1,5]
[5,2,4,6,1,7,8,3]=>[3,8,7,1,6,4,2,5]
[3,8,4,6,1,5,7,2]=>[2,7,5,1,6,4,8,3]
[8,7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7,8]
[3,6,4,1,2,5,8,7]=>[7,8,5,2,1,4,6,3]
[5,2,7,1,4,3,6,8]=>[8,6,3,4,1,7,2,5]
[6,3,1,4,2,5,8,7]=>[7,8,5,2,4,1,3,6]
[5,2,3,1,4,6,8,7]=>[7,8,6,4,1,3,2,5]
[4,2,7,1,3,5,8,6]=>[6,8,5,3,1,7,2,4]
[3,5,4,1,6,2,8,7]=>[7,8,2,6,1,4,5,3]
[4,5,7,2,8,3,1,6]=>[6,1,3,8,2,7,5,4]
[3,5,1,7,6,2,8,4]=>[4,8,2,6,7,1,5,3]
[4,6,7,3,1,8,2,5]=>[5,2,8,1,3,7,6,4]
[8,3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3,8]
[8,4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4,8]
[5,4,2,7,1,8,6,3]=>[3,6,8,1,7,2,4,5]
[4,1,7,6,5,3,2,8]=>[8,2,3,5,6,7,1,4]
[2,3,6,7,1,8,5,4]=>[4,5,8,1,7,6,3,2]
[3,6,1,2,7,8,5,4]=>[4,5,8,7,2,1,6,3]
[4,5,1,8,7,6,3,2]=>[2,3,6,7,8,1,5,4]
[8,4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4,8]
[4,1,3,6,7,5,2,8]=>[8,2,5,7,6,3,1,4]
[3,1,4,5,7,6,2,8]=>[8,2,6,7,5,4,1,3]
[4,5,1,3,6,8,7,2]=>[2,7,8,6,3,1,5,4]
[3,8,5,1,2,4,6,7]=>[7,6,4,2,1,5,8,3]
[8,5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5,8]
[5,8,4,1,2,3,6,7]=>[7,6,3,2,1,4,8,5]
[3,5,8,1,4,2,7,6]=>[6,7,2,4,1,8,5,3]
[2,8,5,7,1,4,3,6]=>[6,3,4,1,7,5,8,2]
[4,8,7,5,1,2,3,6]=>[6,3,2,1,5,7,8,4]
[8,1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1,8]
[7,6,1,4,2,3,8,5]=>[5,8,3,2,4,1,6,7]
[6,1,2,7,8,4,3,5]=>[5,3,4,8,7,2,1,6]
[7,8,1,2,5,3,4,6]=>[6,4,3,5,2,1,8,7]
[1,8,4,7,5,2,3,6]=>[6,3,2,5,7,4,8,1]
[8,4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4,8]
[4,5,8,2,1,6,7,3]=>[3,7,6,1,2,8,5,4]
[7,4,2,5,3,6,1,8]=>[8,1,6,3,5,2,4,7]
[3,1,6,7,5,2,4,8]=>[8,4,2,5,7,6,1,3]
[8,4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4,8]
[4,8,1,5,3,6,7,2]=>[2,7,6,3,5,1,8,4]
[5,1,4,6,3,7,8,2]=>[2,8,7,3,6,4,1,5]
[7,1,5,3,6,8,2,4]=>[4,2,8,6,3,5,1,7]
[8,1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1,8]
[3,6,5,2,4,7,8,1]=>[1,8,7,4,2,5,6,3]
[1,7,5,4,6,8,2,3]=>[3,2,8,6,4,5,7,1]
[4,7,8,2,5,6,1,3]=>[3,1,6,5,2,8,7,4]
[2,8,5,4,6,7,1,3]=>[3,1,7,6,4,5,8,2]
[5,2,8,7,3,1,6,4]=>[4,6,1,3,7,8,2,5]
[4,5,2,6,1,8,3,7]=>[7,3,8,1,6,2,5,4]
[3,2,4,7,1,6,5,8]=>[8,5,6,1,7,4,2,3]
[7,1,5,6,8,3,4,2]=>[2,4,3,8,6,5,1,7]
[5,1,8,6,7,3,4,2]=>[2,4,3,7,6,8,1,5]
[8,4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4,8]
[1,8,6,5,7,4,2,3]=>[3,2,4,7,5,6,8,1]
[6,8,5,3,7,4,1,2]=>[2,1,4,7,3,5,8,6]
[6,3,2,4,1,7,5,8]=>[8,5,7,1,4,2,3,6]
[6,3,2,4,1,5,8,7]=>[7,8,5,1,4,2,3,6]
[8,5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5,8]
[6,8,3,2,4,1,5,7]=>[7,5,1,4,2,3,8,6]
[7,3,2,4,1,5,8,6]=>[6,8,5,1,4,2,3,7]
[8,7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7,8]
[1,5,8,7,6,4,2,3]=>[3,2,4,6,7,8,5,1]
[6,5,2,4,1,7,8,3]=>[3,8,7,1,4,2,5,6]
[2,6,1,7,5,4,8,3]=>[3,8,4,5,7,1,6,2]
[5,4,3,1,7,2,6,8]=>[8,6,2,7,1,3,4,5]
[5,4,8,2,1,3,6,7]=>[7,6,3,1,2,8,4,5]
[7,5,1,3,2,8,4,6]=>[6,4,8,2,3,1,5,7]
[1,4,8,3,2,6,5,7]=>[7,5,6,2,3,8,4,1]
[1,8,3,4,2,5,7,6]=>[6,7,5,2,4,3,8,1]
[1,3,8,4,2,7,5,6]=>[6,5,7,2,4,8,3,1]
[7,2,8,3,1,4,5,6]=>[6,5,4,1,3,8,2,7]
[2,8,1,7,4,3,5,6]=>[6,5,3,4,7,1,8,2]
[8,1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1,8]
[7,2,4,6,3,1,8,5]=>[5,8,1,3,6,4,2,7]
[7,4,3,6,5,1,2,8]=>[8,2,1,5,6,3,4,7]
[4,6,1,7,2,5,3,8]=>[8,3,5,2,7,1,6,4]
[7,6,1,8,2,5,4,3]=>[3,4,5,2,8,1,6,7]
[4,6,1,7,2,5,8,3]=>[3,8,5,2,7,1,6,4]
[8,4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4,8]
[4,8,2,3,7,1,5,6]=>[6,5,1,7,3,2,8,4]
[3,1,7,8,6,5,4,2]=>[2,4,5,6,8,7,1,3]
[7,4,3,1,5,8,2,6]=>[6,2,8,5,1,3,4,7]
[5,8,4,2,1,6,3,7]=>[7,3,6,1,2,4,8,5]
[8,6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6,8]
[6,7,4,1,2,8,5,3]=>[3,5,8,2,1,4,7,6]
[4,6,7,8,2,5,1,3]=>[3,1,5,2,8,7,6,4]
[7,6,4,1,2,5,3,8]=>[8,3,5,2,1,4,6,7]
[5,4,2,8,1,6,3,7]=>[7,3,6,1,8,2,4,5]
[4,7,2,1,6,5,3,8]=>[8,3,5,6,1,2,7,4]
[7,6,3,8,2,5,4,1]=>[1,4,5,2,8,3,6,7]
[6,5,7,1,3,2,4,8]=>[8,4,2,3,1,7,5,6]
[8,7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7,8]
[2,6,1,7,4,5,3,8]=>[8,3,5,4,7,1,6,2]
[6,3,1,7,4,5,2,8]=>[8,2,5,4,7,1,3,6]
[3,7,8,6,4,5,2,1]=>[1,2,5,4,6,8,7,3]
[7,2,8,4,3,6,1,5]=>[5,1,6,3,4,8,2,7]
[2,7,8,6,4,5,1,3]=>[3,1,5,4,6,8,7,2]
[1,6,3,5,8,2,7,4]=>[4,7,2,8,5,3,6,1]
[1,7,5,4,8,6,2,3]=>[3,2,6,8,4,5,7,1]
[5,8,3,4,7,6,1,2]=>[2,1,6,7,4,3,8,5]
[1,4,2,8,5,6,7,3]=>[3,7,6,5,8,2,4,1]
[2,4,5,1,8,6,7,3]=>[3,7,6,8,1,5,4,2]
[6,7,3,2,8,5,4,1]=>[1,4,5,8,2,3,7,6]
[6,8,7,3,2,5,4,1]=>[1,4,5,2,3,7,8,6]
[7,3,8,6,4,2,5,1]=>[1,5,2,4,6,8,3,7]
[6,4,2,8,5,7,3,1]=>[1,3,7,5,8,2,4,6]
[5,6,2,1,7,3,4,8]=>[8,4,3,7,1,2,6,5]
[5,4,3,8,6,1,2,7]=>[7,2,1,6,8,3,4,5]
[5,4,2,8,6,7,1,3]=>[3,1,7,6,8,2,4,5]
[4,8,6,3,2,7,1,5]=>[5,1,7,2,3,6,8,4]
[4,8,5,3,6,1,2,7]=>[7,2,1,6,3,5,8,4]
[4,8,6,3,5,2,1,7]=>[7,1,2,5,3,6,8,4]
[5,8,6,3,2,7,1,4]=>[4,1,7,2,3,6,8,5]
[5,7,6,3,2,4,8,1]=>[1,8,4,2,3,6,7,5]
[5,7,3,2,8,6,4,1]=>[1,4,6,8,2,3,7,5]
[5,4,3,7,1,8,6,2]=>[2,6,8,1,7,3,4,5]
[4,6,5,8,2,7,1,3]=>[3,1,7,2,8,5,6,4]
[4,5,1,8,3,7,6,2]=>[2,6,7,3,8,1,5,4]
[5,3,1,6,8,4,2,7]=>[7,2,4,8,6,1,3,5]
[4,5,1,6,8,2,7,3]=>[3,7,2,8,6,1,5,4]
[4,5,1,7,8,3,2,6]=>[6,2,3,8,7,1,5,4]
[6,2,1,3,8,4,7,5]=>[5,7,4,8,3,1,2,6]
[1,6,3,7,2,4,8,5]=>[5,8,4,2,7,3,6,1]
[3,5,8,4,6,1,2,7]=>[7,2,1,6,4,8,5,3]
[4,3,8,1,5,6,2,7]=>[7,2,6,5,1,8,3,4]
[8,7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7,8]
[7,6,2,1,3,5,4,8]=>[8,4,5,3,1,2,6,7]
[4,7,2,1,6,3,5,8]=>[8,5,3,6,1,2,7,4]
[2,5,4,7,1,3,6,8]=>[8,6,3,1,7,4,5,2]
[3,1,7,4,6,2,5,8]=>[8,5,2,6,4,7,1,3]
[3,6,1,5,7,2,4,8]=>[8,4,2,7,5,1,6,3]
[4,3,7,1,6,2,5,8]=>[8,5,2,6,1,7,3,4]
[4,3,1,6,7,2,5,8]=>[8,5,2,7,6,1,3,4]
[2,4,7,6,1,3,5,8]=>[8,5,3,1,6,7,4,2]
[6,2,5,4,1,3,7,8]=>[8,7,3,1,4,5,2,6]
[3,2,6,5,1,4,7,8]=>[8,7,4,1,5,6,2,3]
[4,3,6,2,1,5,7,8]=>[8,7,5,1,2,6,3,4]
[6,1,5,8,4,2,3,7]=>[7,3,2,4,8,5,1,6]
[2,5,4,1,3,7,6,8]=>[8,6,7,3,1,4,5,2]
[5,2,4,1,3,7,6,8]=>[8,6,7,3,1,4,2,5]
[5,2,1,4,8,6,7,3]=>[3,7,6,8,4,1,2,5]
[5,2,1,3,7,4,6,8]=>[8,6,4,7,3,1,2,5]
[8,4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4,8]
[4,5,2,1,3,7,6,8]=>[8,6,7,3,1,2,5,4]
[4,7,8,1,5,2,3,6]=>[6,3,2,5,1,8,7,4]
[5,2,8,1,6,4,3,7]=>[7,3,4,6,1,8,2,5]
[5,2,3,1,4,7,6,8]=>[8,6,7,4,1,3,2,5]
[5,4,2,3,1,7,6,8]=>[8,6,7,1,3,2,4,5]
[5,4,2,1,3,7,6,8]=>[8,6,7,3,1,2,4,5]
[5,3,1,7,4,2,6,8]=>[8,6,2,4,7,1,3,5]
[7,3,1,5,8,4,6,2]=>[2,6,4,8,5,1,3,7]
[8,4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4,8]
[6,2,7,4,1,5,8,3]=>[3,8,5,1,4,7,2,6]
[7,2,4,6,1,3,8,5]=>[5,8,3,1,6,4,2,7]
[8,2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2,8]
[2,1,5,4,8,6,3,7]=>[7,3,6,8,4,5,1,2]
[5,4,1,2,8,6,3,7]=>[7,3,6,8,2,1,4,5]
[5,2,8,4,3,6,1,7]=>[7,1,6,3,4,8,2,5]
[3,2,8,4,1,6,5,7]=>[7,5,6,1,4,8,2,3]
[3,7,5,4,6,1,8,2]=>[2,8,1,6,4,5,7,3]
[3,7,6,4,1,5,8,2]=>[2,8,5,1,4,6,7,3]
[3,7,6,4,8,1,5,2]=>[2,5,1,8,4,6,7,3]
[8,2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2,8]
[4,1,2,8,3,5,7,6]=>[6,7,5,3,8,2,1,4]
[6,5,2,4,1,7,3,8]=>[8,3,7,1,4,2,5,6]
[7,1,2,4,8,6,3,5]=>[5,3,6,8,4,2,1,7]
[7,1,8,5,4,6,2,3]=>[3,2,6,4,5,8,1,7]
[6,3,5,4,1,2,7,8]=>[8,7,2,1,4,5,3,6]
[7,1,6,5,4,2,8,3]=>[3,8,2,4,5,6,1,7]
[3,6,1,4,8,2,5,7]=>[7,5,2,8,4,1,6,3]
[7,2,6,5,1,4,3,8]=>[8,3,4,1,5,6,2,7]
[7,1,8,4,2,3,6,5]=>[5,6,3,2,4,8,1,7]
[2,1,5,4,7,3,6,8]=>[8,6,3,7,4,5,1,2]
[8,6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6,8]
[6,2,1,8,3,4,5,7]=>[7,5,4,3,8,1,2,6]
[2,7,6,4,5,1,8,3]=>[3,8,1,5,4,6,7,2]
[1,7,5,6,4,3,8,2]=>[2,8,3,4,6,5,7,1]
[7,1,5,2,8,4,3,6]=>[6,3,4,8,2,5,1,7]
[7,3,4,6,2,5,1,8]=>[8,1,5,2,6,4,3,7]
[5,7,2,3,6,4,1,8]=>[8,1,4,6,3,2,7,5]
[4,6,8,1,7,3,5,2]=>[2,5,3,7,1,8,6,4]
[6,8,2,7,4,1,3,5]=>[5,3,1,4,7,2,8,6]
[8,1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1,8]
[6,8,3,7,1,4,5,2]=>[2,5,4,1,7,3,8,6]
[3,6,8,1,5,7,4,2]=>[2,4,7,5,1,8,6,3]
[3,8,2,6,4,1,5,7]=>[7,5,1,4,6,2,8,3]
[3,8,1,5,7,4,2,6]=>[6,2,4,7,5,1,8,3]
[8,3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3,8]
[8,2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2,8]
[8,1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1,8]
[2,8,3,1,6,7,4,5]=>[5,4,7,6,1,3,8,2]
[4,5,6,8,2,1,7,3]=>[3,7,1,2,8,6,5,4]
[4,5,6,8,1,3,7,2]=>[2,7,3,1,8,6,5,4]
[4,5,8,3,2,1,7,6]=>[6,7,1,2,3,8,5,4]
[4,5,1,3,2,6,7,8]=>[8,7,6,2,3,1,5,4]
[4,7,3,2,1,6,5,8]=>[8,5,6,1,2,3,7,4]
[4,7,8,3,5,1,6,2]=>[2,6,1,5,3,8,7,4]
[4,7,1,3,5,6,2,8]=>[8,2,6,5,3,1,7,4]
[4,8,3,2,1,6,7,5]=>[5,7,6,1,2,3,8,4]
[5,2,8,1,4,6,7,3]=>[3,7,6,4,1,8,2,5]
[5,6,3,7,8,1,4,2]=>[2,4,1,8,7,3,6,5]
[5,7,1,4,3,6,2,8]=>[8,2,6,3,4,1,7,5]
[6,2,3,7,1,5,4,8]=>[8,4,5,1,7,3,2,6]
[6,2,8,1,5,4,7,3]=>[3,7,4,5,1,8,2,6]
[6,1,3,4,5,2,7,8]=>[8,7,2,5,4,3,1,6]
[7,1,3,4,5,6,2,8]=>[8,2,6,5,4,3,1,7]
[6,4,2,5,3,7,8,1]=>[1,8,7,3,5,2,4,6]
[7,2,5,1,3,6,4,8]=>[8,4,6,3,1,5,2,7]
[7,2,5,1,3,8,6,4]=>[4,6,8,3,1,5,2,7]
[3,6,2,1,8,7,4,5]=>[5,4,7,8,1,2,6,3]
[1,6,8,5,7,2,4,3]=>[3,4,2,7,5,8,6,1]
[5,1,4,7,3,6,8,2]=>[2,8,6,3,7,4,1,5]
[6,5,2,7,8,4,3,1]=>[1,3,4,8,7,2,5,6]
[7,5,3,6,4,2,1,8]=>[8,1,2,4,6,3,5,7]
[7,8,4,6,2,5,3,1]=>[1,3,5,2,6,4,8,7]
[2,3,6,5,8,4,7,1]=>[1,7,4,8,5,6,3,2]
[7,3,6,5,1,4,2,8]=>[8,2,4,1,5,6,3,7]
[7,2,6,5,4,1,3,8]=>[8,3,1,4,5,6,2,7]
[1,6,8,7,5,4,2,3]=>[3,2,4,5,7,8,6,1]
[1,3,6,7,5,2,4,8]=>[8,4,2,5,7,6,3,1]
[1,5,2,6,8,7,3,4]=>[4,3,7,8,6,2,5,1]
[6,8,4,1,3,2,7,5]=>[5,7,2,3,1,4,8,6]
[6,1,5,2,4,3,7,8]=>[8,7,3,4,2,5,1,6]
[5,3,4,7,2,1,6,8]=>[8,6,1,2,7,4,3,5]
[6,5,8,1,4,7,2,3]=>[3,2,7,4,1,8,5,6]
[8,6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6,8]
[8,3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3,8]
[6,7,3,5,4,1,8,2]=>[2,8,1,4,5,3,7,6]
[5,4,7,8,6,1,2,3]=>[3,2,1,6,8,7,4,5]
[7,1,2,4,5,3,6,8]=>[8,6,3,5,4,2,1,7]
[7,2,4,5,8,1,3,6]=>[6,3,1,8,5,4,2,7]
[4,7,3,1,2,8,6,5]=>[5,6,8,2,1,3,7,4]
[4,8,5,7,1,2,3,6]=>[6,3,2,1,7,5,8,4]
[6,2,5,8,1,3,7,4]=>[4,7,3,1,8,5,2,6]
[2,7,5,1,4,6,8,3]=>[3,8,6,4,1,5,7,2]
[5,8,6,4,3,1,2,7]=>[7,2,1,3,4,6,8,5]
[6,2,5,1,7,8,3,4]=>[4,3,8,7,1,5,2,6]
[6,7,4,3,1,2,8,5]=>[5,8,2,1,3,4,7,6]
[4,2,3,7,6,1,8,5]=>[5,8,1,6,7,3,2,4]
[4,2,6,3,1,5,7,8]=>[8,7,5,1,3,6,2,4]
[7,5,2,3,4,1,8,6]=>[6,8,1,4,3,2,5,7]
[1,6,2,3,8,4,7,5]=>[5,7,4,8,3,2,6,1]
[8,2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2,8]
[5,8,2,3,1,4,7,6]=>[6,7,4,1,3,2,8,5]
[5,7,2,1,3,4,6,8]=>[8,6,4,3,1,2,7,5]
[1,2,8,7,3,5,6,4]=>[4,6,5,3,7,8,2,1]
[1,3,8,5,2,6,4,7]=>[7,4,6,2,5,8,3,1]
[7,1,6,4,3,2,5,8]=>[8,5,2,3,4,6,1,7]
[8,4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4,8]
[4,6,3,2,5,8,7,1]=>[1,7,8,5,2,3,6,4]
[1,4,6,3,2,5,7,8]=>[8,7,5,2,3,6,4,1]
[7,1,6,4,3,2,8,5]=>[5,8,2,3,4,6,1,7]
[4,6,3,2,7,5,8,1]=>[1,8,5,7,2,3,6,4]
[5,8,4,3,2,6,1,7]=>[7,1,6,2,3,4,8,5]
[1,3,6,5,2,4,8,7]=>[7,8,4,2,5,6,3,1]
[4,6,3,2,7,1,5,8]=>[8,5,1,7,2,3,6,4]
[1,5,7,4,8,6,2,3]=>[3,2,6,8,4,7,5,1]
[6,1,5,7,3,8,2,4]=>[4,2,8,3,7,5,1,6]
[1,6,5,4,7,8,2,3]=>[3,2,8,7,4,5,6,1]
[7,1,8,3,2,5,6,4]=>[4,6,5,2,3,8,1,7]
[7,6,2,3,1,8,5,4]=>[4,5,8,1,3,2,6,7]
[2,3,5,1,7,8,6,4]=>[4,6,8,7,1,5,3,2]
[2,7,3,4,1,6,8,5]=>[5,8,6,1,4,3,7,2]
[5,3,1,2,7,8,6,4]=>[4,6,8,7,2,1,3,5]
[1,2,7,8,6,4,3,5]=>[5,3,4,6,8,7,2,1]
[4,7,8,6,2,1,3,5]=>[5,3,1,2,6,8,7,4]
[8,6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6,8]
[3,5,1,7,8,6,2,4]=>[4,2,6,8,7,1,5,3]
[5,2,4,1,7,6,8,3]=>[3,8,6,7,1,4,2,5]
[3,1,8,6,7,4,2,5]=>[5,2,4,7,6,8,1,3]
[8,5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5,8]
[1,7,6,8,5,2,3,4]=>[4,3,2,5,8,6,7,1]
[8,3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3,8]
[8,4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4,8]
[8,4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4,8]
[5,7,1,3,4,8,6,2]=>[2,6,8,4,3,1,7,5]
[8,5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5,8]
[5,1,3,4,8,7,6,2]=>[2,6,7,8,4,3,1,5]
[5,4,3,8,1,7,2,6]=>[6,2,7,1,8,3,4,5]
[7,2,4,6,5,1,8,3]=>[3,8,1,5,6,4,2,7]
[4,5,7,6,2,1,8,3]=>[3,8,1,2,6,7,5,4]
[2,5,7,6,1,8,4,3]=>[3,4,8,1,6,7,5,2]
[7,3,1,5,6,8,4,2]=>[2,4,8,6,5,1,3,7]
[4,8,7,2,3,1,6,5]=>[5,6,1,3,2,7,8,4]
[5,6,8,1,2,4,3,7]=>[7,3,4,2,1,8,6,5]
[8,1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1,8]
[3,8,4,7,6,1,2,5]=>[5,2,1,6,7,4,8,3]
[1,6,8,5,3,7,2,4]=>[4,2,7,3,5,8,6,1]
[5,6,2,8,3,1,4,7]=>[7,4,1,3,8,2,6,5]
[2,4,5,7,8,3,1,6]=>[6,1,3,8,7,5,4,2]
[3,5,4,7,1,8,2,6]=>[6,2,8,1,7,4,5,3]
[3,4,6,5,8,1,2,7]=>[7,2,1,8,5,6,4,3]
[3,2,6,7,5,1,8,4]=>[4,8,1,5,7,6,2,3]
[3,4,6,7,5,1,2,8]=>[8,2,1,5,7,6,4,3]
[2,5,6,7,3,4,1,8]=>[8,1,4,3,7,6,5,2]
[4,3,5,7,6,1,2,8]=>[8,2,1,6,7,5,3,4]
[4,3,5,7,1,8,2,6]=>[6,2,8,1,7,5,3,4]
[4,3,2,5,8,7,1,6]=>[6,1,7,8,5,2,3,4]
[2,5,4,3,8,7,1,6]=>[6,1,7,8,3,4,5,2]
[5,2,6,4,1,8,3,7]=>[7,3,8,1,4,6,2,5]
[5,2,6,4,7,1,3,8]=>[8,3,1,7,4,6,2,5]
[4,3,2,7,1,8,6,5]=>[5,6,8,1,7,2,3,4]
[4,6,2,5,7,1,3,8]=>[8,3,1,7,5,2,6,4]
[2,5,6,7,3,1,8,4]=>[4,8,1,3,7,6,5,2]
[4,5,7,1,3,6,2,8]=>[8,2,6,3,1,7,5,4]
[3,7,5,6,1,2,4,8]=>[8,4,2,1,6,5,7,3]
[4,7,2,8,6,5,3,1]=>[1,3,5,6,8,2,7,4]
[5,7,8,3,6,2,4,1]=>[1,4,2,6,3,8,7,5]
[7,2,3,1,6,8,5,4]=>[4,5,8,6,1,3,2,7]
[7,2,3,1,6,8,4,5]=>[5,4,8,6,1,3,2,7]
[5,7,8,6,2,1,3,4]=>[4,3,1,2,6,8,7,5]
[4,1,8,2,5,6,3,7]=>[7,3,6,5,2,8,1,4]
[6,2,1,3,7,8,5,4]=>[4,5,8,7,3,1,2,6]
[2,6,7,5,1,3,4,8]=>[8,4,3,1,5,7,6,2]
[6,3,2,4,7,8,5,1]=>[1,5,8,7,4,2,3,6]
[6,2,3,1,5,7,4,8]=>[8,4,7,5,1,3,2,6]
[6,2,1,3,7,5,4,8]=>[8,4,5,7,3,1,2,6]
[5,2,1,3,6,4,7,8]=>[8,7,4,6,3,1,2,5]
[5,7,8,1,6,2,3,4]=>[4,3,2,6,1,8,7,5]
[5,7,8,6,4,3,1,2]=>[2,1,3,4,6,8,7,5]
[1,5,4,3,8,2,6,7]=>[7,6,2,8,3,4,5,1]
[1,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,1]
[1,5,3,8,7,2,6,4]=>[4,6,2,7,8,3,5,1]
[1,6,4,2,7,3,8,5]=>[5,8,3,7,2,4,6,1]
[1,4,2,5,8,6,3,7]=>[7,3,6,8,5,2,4,1]
[1,6,2,7,5,4,3,8]=>[8,3,4,5,7,2,6,1]
[6,4,8,7,1,5,3,2]=>[2,3,5,1,7,8,4,6]
[4,8,2,1,5,7,3,6]=>[6,3,7,5,1,2,8,4]
[5,2,7,1,6,3,4,8]=>[8,4,3,6,1,7,2,5]
[4,8,2,5,1,6,3,7]=>[7,3,6,1,5,2,8,4]
[5,8,1,2,4,6,3,7]=>[7,3,6,4,2,1,8,5]
[5,1,7,3,6,4,2,8]=>[8,2,4,6,3,7,1,5]
[3,2,7,5,6,1,4,8]=>[8,4,1,6,5,7,2,3]
[3,2,7,1,6,4,5,8]=>[8,5,4,6,1,7,2,3]
[6,3,1,7,5,4,2,8]=>[8,2,4,5,7,1,3,6]
[6,2,8,7,3,4,5,1]=>[1,5,4,3,7,8,2,6]
[7,3,4,8,5,6,2,1]=>[1,2,6,5,8,4,3,7]
[7,3,6,8,4,5,2,1]=>[1,2,5,4,8,6,3,7]
[6,2,5,7,8,4,3,1]=>[1,3,4,8,7,5,2,6]
[5,6,3,2,4,8,7,1]=>[1,7,8,4,2,3,6,5]
[5,6,2,8,3,1,7,4]=>[4,7,1,3,8,2,6,5]
[5,6,2,4,3,1,7,8]=>[8,7,1,3,4,2,6,5]
[7,1,2,5,4,6,8,3]=>[3,8,6,4,5,2,1,7]
[5,7,6,2,4,3,8,1]=>[1,8,3,4,2,6,7,5]
[6,1,7,5,8,3,2,4]=>[4,2,3,8,5,7,1,6]
[6,1,3,4,8,5,2,7]=>[7,2,5,8,4,3,1,6]
[5,7,3,2,4,6,8,1]=>[1,8,6,4,2,3,7,5]
[7,1,2,6,5,4,8,3]=>[3,8,4,5,6,2,1,7]
[5,3,1,6,8,2,7,4]=>[4,7,2,8,6,1,3,5]
[1,4,7,5,6,2,8,3]=>[3,8,2,6,5,7,4,1]
[4,5,7,8,2,3,6,1]=>[1,6,3,2,8,7,5,4]
[3,4,5,7,8,2,1,6]=>[6,1,2,8,7,5,4,3]
[1,3,4,7,2,6,8,5]=>[5,8,6,2,7,4,3,1]
[1,6,5,2,8,4,3,7]=>[7,3,4,8,2,5,6,1]
[6,4,1,2,5,8,7,3]=>[3,7,8,5,2,1,4,6]
[7,6,1,2,8,4,5,3]=>[3,5,4,8,2,1,6,7]
[3,7,2,8,5,1,6,4]=>[4,6,1,5,8,2,7,3]
[3,6,5,7,1,2,8,4]=>[4,8,2,1,7,5,6,3]
[1,8,6,2,5,4,3,7]=>[7,3,4,5,2,6,8,1]
[1,3,6,8,4,2,7,5]=>[5,7,2,4,8,6,3,1]
[1,6,5,8,2,7,3,4]=>[4,3,7,2,8,5,6,1]
[1,7,4,8,3,5,6,2]=>[2,6,5,3,8,4,7,1]
[7,5,2,8,3,6,1,4]=>[4,1,6,3,8,2,5,7]
[4,6,2,3,8,1,7,5]=>[5,7,1,8,3,2,6,4]
[6,2,8,4,7,3,1,5]=>[5,1,3,7,4,8,2,6]
[1,6,7,2,5,3,8,4]=>[4,8,3,5,2,7,6,1]
[1,7,5,6,8,3,2,4]=>[4,2,3,8,6,5,7,1]
[6,4,7,5,1,8,3,2]=>[2,3,8,1,5,7,4,6]
[5,2,4,8,3,7,6,1]=>[1,6,7,3,8,4,2,5]
[7,6,8,3,5,4,1,2]=>[2,1,4,5,3,8,6,7]
[5,3,1,4,8,6,2,7]=>[7,2,6,8,4,1,3,5]
[8,3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3,8]
[1,3,5,8,4,6,2,7]=>[7,2,6,4,8,5,3,1]
[5,2,4,8,3,1,6,7]=>[7,6,1,3,8,4,2,5]
[8,7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7,8]
[8,4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4,8]
[6,3,8,4,1,7,5,2]=>[2,5,7,1,4,8,3,6]
[7,4,5,1,8,6,2,3]=>[3,2,6,8,1,5,4,7]
[1,5,6,2,8,7,3,4]=>[4,3,7,8,2,6,5,1]
[6,8,3,1,2,7,5,4]=>[4,5,7,2,1,3,8,6]
[2,7,8,3,6,4,1,5]=>[5,1,4,6,3,8,7,2]
[3,8,4,7,6,2,1,5]=>[5,1,2,6,7,4,8,3]
[8,5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5,8]
[8,1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1,8]
[1,8,6,7,5,3,2,4]=>[4,2,3,5,7,6,8,1]
[5,2,8,6,1,7,4,3]=>[3,4,7,1,6,8,2,5]
[5,8,6,1,2,7,3,4]=>[4,3,7,2,1,6,8,5]
[8,5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5,8]
[7,3,2,6,1,8,4,5]=>[5,4,8,1,6,2,3,7]
[6,2,7,1,3,8,4,5]=>[5,4,8,3,1,7,2,6]
[7,4,8,3,1,6,5,2]=>[2,5,6,1,3,8,4,7]
[5,8,4,2,7,6,3,1]=>[1,3,6,7,2,4,8,5]
[5,8,4,2,7,6,1,3]=>[3,1,6,7,2,4,8,5]
[4,7,8,1,5,2,6,3]=>[3,6,2,5,1,8,7,4]
[5,4,8,2,3,7,1,6]=>[6,1,7,3,2,8,4,5]
[1,3,4,7,8,6,2,5]=>[5,2,6,8,7,4,3,1]
[2,6,1,5,8,3,7,4]=>[4,7,3,8,5,1,6,2]
[1,2,4,7,8,3,6,5]=>[5,6,3,8,7,4,2,1]
[1,3,7,8,2,4,6,5]=>[5,6,4,2,8,7,3,1]
[2,7,8,1,3,4,6,5]=>[5,6,4,3,1,8,7,2]
[8,1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1,8]
[8,1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1,8]
[7,2,5,3,6,8,4,1]=>[1,4,8,6,3,5,2,7]
[2,7,4,6,3,1,5,8]=>[8,5,1,3,6,4,7,2]
[7,2,4,8,6,5,3,1]=>[1,3,5,6,8,4,2,7]
[8,1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1,8]
[2,6,8,1,3,4,7,5]=>[5,7,4,3,1,8,6,2]
[2,3,5,7,6,1,4,8]=>[8,4,1,6,7,5,3,2]
[3,6,8,2,5,4,1,7]=>[7,1,4,5,2,8,6,3]
[5,2,3,6,4,7,8,1]=>[1,8,7,4,6,3,2,5]
[6,4,8,7,3,5,1,2]=>[2,1,5,3,7,8,4,6]
[6,1,4,2,3,5,7,8]=>[8,7,5,3,2,4,1,6]
[5,2,6,1,3,8,4,7]=>[7,4,8,3,1,6,2,5]
[4,3,7,6,2,1,5,8]=>[8,5,1,2,6,7,3,4]
[5,4,6,1,2,8,3,7]=>[7,3,8,2,1,6,4,5]
[4,5,2,7,8,3,6,1]=>[1,6,3,8,7,2,5,4]
[2,4,5,3,7,1,6,8]=>[8,6,1,7,3,5,4,2]
[3,2,4,5,7,1,6,8]=>[8,6,1,7,5,4,2,3]
[6,5,1,8,3,7,4,2]=>[2,4,7,3,8,1,5,6]
[7,1,4,3,8,6,5,2]=>[2,5,6,8,3,4,1,7]
[8,5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5,8]
[4,5,3,8,1,7,6,2]=>[2,6,7,1,8,3,5,4]
[4,7,6,3,2,8,5,1]=>[1,5,8,2,3,6,7,4]
[5,7,6,3,8,2,4,1]=>[1,4,2,8,3,6,7,5]
[6,8,4,7,1,2,5,3]=>[3,5,2,1,7,4,8,6]
[1,3,7,6,8,4,5,2]=>[2,5,4,8,6,7,3,1]
[6,1,5,7,2,8,3,4]=>[4,3,8,2,7,5,1,6]
[1,8,7,2,5,6,3,4]=>[4,3,6,5,2,7,8,1]
[1,8,2,6,7,4,3,5]=>[5,3,4,7,6,2,8,1]
[2,5,4,8,7,6,1,3]=>[3,1,6,7,8,4,5,2]
[1,8,7,6,3,5,4,2]=>[2,4,5,3,6,7,8,1]
[1,8,5,7,6,4,3,2]=>[2,3,4,6,7,5,8,1]
[7,2,4,1,8,5,3,6]=>[6,3,5,8,1,4,2,7]
[1,4,3,5,8,6,2,7]=>[7,2,6,8,5,3,4,1]
[4,2,8,5,6,1,3,7]=>[7,3,1,6,5,8,2,4]
[7,3,2,1,4,6,8,5]=>[5,8,6,4,1,2,3,7]
[1,4,3,5,7,2,8,6]=>[6,8,2,7,5,3,4,1]
[3,7,2,1,4,6,8,5]=>[5,8,6,4,1,2,7,3]
[4,7,2,6,1,8,3,5]=>[5,3,8,1,6,2,7,4]
[8,7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7,8]
[6,8,5,3,2,1,7,4]=>[4,7,1,2,3,5,8,6]
[6,2,4,1,7,8,3,5]=>[5,3,8,7,1,4,2,6]
[6,7,3,2,1,5,8,4]=>[4,8,5,1,2,3,7,6]
[7,5,3,2,1,6,8,4]=>[4,8,6,1,2,3,5,7]
[8,6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6,8]
[1,4,8,3,2,6,7,5]=>[5,7,6,2,3,8,4,1]
[3,1,6,4,8,5,7,2]=>[2,7,5,8,4,6,1,3]
[8,2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2,8]
[8,7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7,8]
[1,7,5,3,6,2,4,8]=>[8,4,2,6,3,5,7,1]
[7,4,6,1,3,5,8,2]=>[2,8,5,3,1,6,4,7]
[8,2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2,8]
[6,8,1,3,4,2,5,7]=>[7,5,2,4,3,1,8,6]
[6,1,3,5,2,4,8,7]=>[7,8,4,2,5,3,1,6]
[6,1,3,5,8,7,2,4]=>[4,2,7,8,5,3,1,6]
[4,2,5,7,8,1,3,6]=>[6,3,1,8,7,5,2,4]
[1,3,6,2,5,7,4,8]=>[8,4,7,5,2,6,3,1]
[2,8,4,6,3,5,7,1]=>[1,7,5,3,6,4,8,2]
[4,8,1,3,6,2,5,7]=>[7,5,2,6,3,1,8,4]
[3,6,8,1,4,7,2,5]=>[5,2,7,4,1,8,6,3]
[3,6,1,4,7,8,2,5]=>[5,2,8,7,4,1,6,3]
[4,1,3,6,2,5,7,8]=>[8,7,5,2,6,3,1,4]
[4,6,8,3,1,2,5,7]=>[7,5,2,1,3,8,6,4]
[3,8,4,6,1,2,5,7]=>[7,5,2,1,6,4,8,3]
[2,5,3,6,8,1,4,7]=>[7,4,1,8,6,3,5,2]
[2,5,7,1,3,6,4,8]=>[8,4,6,3,1,7,5,2]
[2,8,3,5,7,4,6,1]=>[1,6,4,7,5,3,8,2]
[1,4,7,2,5,3,6,8]=>[8,6,3,5,2,7,4,1]
[4,5,3,1,2,6,8,7]=>[7,8,6,2,1,3,5,4]
[4,5,1,3,8,2,6,7]=>[7,6,2,8,3,1,5,4]
[4,1,5,3,2,7,6,8]=>[8,6,7,2,3,5,1,4]
[7,3,5,1,4,2,6,8]=>[8,6,2,4,1,5,3,7]
[6,2,1,7,4,3,8,5]=>[5,8,3,4,7,1,2,6]
[2,4,3,6,7,1,5,8]=>[8,5,1,7,6,3,4,2]
[7,3,5,2,1,6,4,8]=>[8,4,6,1,2,5,3,7]
[4,6,5,2,1,3,7,8]=>[8,7,3,1,2,5,6,4]
[2,5,6,1,4,3,7,8]=>[8,7,3,4,1,6,5,2]
[6,1,5,3,7,2,4,8]=>[8,4,2,7,3,5,1,6]
[3,6,5,4,1,7,2,8]=>[8,2,7,1,4,5,6,3]
[6,8,7,5,4,2,1,3]=>[3,1,2,4,5,7,8,6]
[1,6,8,7,3,2,4,5]=>[5,4,2,3,7,8,6,1]
[8,7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7,8]
[1,7,8,2,4,6,3,5]=>[5,3,6,4,2,8,7,1]
[7,5,4,8,1,3,6,2]=>[2,6,3,1,8,4,5,7]
[5,6,1,8,4,3,7,2]=>[2,7,3,4,8,1,6,5]
[1,8,2,6,7,5,4,3]=>[3,4,5,7,6,2,8,1]
[2,7,5,1,6,8,3,4]=>[4,3,8,6,1,5,7,2]
[4,7,3,6,2,8,5,1]=>[1,5,8,2,6,3,7,4]
[8,5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5,8]
[8,4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4,8]
[5,1,8,3,4,7,6,2]=>[2,6,7,4,3,8,1,5]
[4,1,8,3,5,7,6,2]=>[2,6,7,5,3,8,1,4]
[3,8,4,7,6,2,5,1]=>[1,5,2,6,7,4,8,3]
[1,8,2,6,7,5,3,4]=>[4,3,5,7,6,2,8,1]
[7,6,1,4,8,3,5,2]=>[2,5,3,8,4,1,6,7]
[7,4,3,6,2,8,5,1]=>[1,5,8,2,6,3,4,7]
[8,5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5,8]
[8,5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5,8]
[7,4,2,8,5,3,6,1]=>[1,6,3,5,8,2,4,7]
[7,3,2,1,6,5,4,8]=>[8,4,5,6,1,2,3,7]
[7,2,6,1,4,3,5,8]=>[8,5,3,4,1,6,2,7]
[6,2,1,8,5,3,4,7]=>[7,4,3,5,8,1,2,6]
[3,8,6,1,2,4,5,7]=>[7,5,4,2,1,6,8,3]
[2,8,1,6,5,3,4,7]=>[7,4,3,5,6,1,8,2]
[5,3,2,1,8,7,4,6]=>[6,4,7,8,1,2,3,5]
[1,8,5,3,2,7,4,6]=>[6,4,7,2,3,5,8,1]
[1,8,4,7,2,3,5,6]=>[6,5,3,2,7,4,8,1]
[3,1,8,7,2,5,4,6]=>[6,4,5,2,7,8,1,3]
[3,8,1,6,2,5,4,7]=>[7,4,5,2,6,1,8,3]
[3,8,1,4,2,7,6,5]=>[5,6,7,2,4,1,8,3]
[3,2,8,1,7,5,4,6]=>[6,4,5,7,1,8,2,3]
[7,1,5,6,2,3,4,8]=>[8,4,3,2,6,5,1,7]
[6,5,1,7,2,3,4,8]=>[8,4,3,2,7,1,5,6]
[1,6,8,2,7,3,4,5]=>[5,4,3,7,2,8,6,1]
[6,5,1,2,4,7,3,8]=>[8,3,7,4,2,1,5,6]
[7,5,8,2,6,4,3,1]=>[1,3,4,6,2,8,5,7]
[8,5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5,8]
[8,2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2,8]
[6,1,5,7,2,3,4,8]=>[8,4,3,2,7,5,1,6]
[1,6,8,7,3,4,2,5]=>[5,2,4,3,7,8,6,1]
[2,1,5,7,6,3,4,8]=>[8,4,3,6,7,5,1,2]
[2,8,6,5,7,3,4,1]=>[1,4,3,7,5,6,8,2]
[2,5,6,3,7,1,4,8]=>[8,4,1,7,3,6,5,2]
[4,1,3,6,7,8,5,2]=>[2,5,8,7,6,3,1,4]
[4,2,3,6,7,8,5,1]=>[1,5,8,7,6,3,2,4]
[1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]
[7,4,1,5,6,8,3,2]=>[2,3,8,6,5,1,4,7]
[7,6,4,1,2,8,3,5]=>[5,3,8,2,1,4,6,7]
[7,6,4,5,2,8,3,1]=>[1,3,8,2,5,4,6,7]
[8,3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3,8]
[4,1,2,6,7,8,5,3]=>[3,5,8,7,6,2,1,4]
[2,3,6,5,7,1,4,8]=>[8,4,1,7,5,6,3,2]
[4,6,1,5,8,3,2,7]=>[7,2,3,8,5,1,6,4]
[2,5,7,1,8,4,6,3]=>[3,6,4,8,1,7,5,2]
[6,8,1,5,4,3,2,7]=>[7,2,3,4,5,1,8,6]
[7,5,8,1,3,4,6,2]=>[2,6,4,3,1,8,5,7]
[7,6,2,1,4,8,5,3]=>[3,5,8,4,1,2,6,7]
[7,2,6,1,4,8,5,3]=>[3,5,8,4,1,6,2,7]
[2,7,8,1,4,6,5,3]=>[3,5,6,4,1,8,7,2]
[3,6,2,4,5,7,8,1]=>[1,8,7,5,4,2,6,3]
[3,7,8,2,1,4,5,6]=>[6,5,4,1,2,8,7,3]
[6,3,7,1,8,2,4,5]=>[5,4,2,8,1,7,3,6]
[8,4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4,8]
[4,8,3,5,6,2,1,7]=>[7,1,2,6,5,3,8,4]
[4,8,3,5,6,2,7,1]=>[1,7,2,6,5,3,8,4]
[1,8,6,7,2,4,5,3]=>[3,5,4,2,7,6,8,1]
[5,7,8,1,4,3,6,2]=>[2,6,3,4,1,8,7,5]
[3,7,8,1,5,2,6,4]=>[4,6,2,5,1,8,7,3]
[1,7,8,6,2,4,5,3]=>[3,5,4,2,6,8,7,1]
[7,6,8,5,1,3,4,2]=>[2,4,3,1,5,8,6,7]
[3,6,7,1,4,5,8,2]=>[2,8,5,4,1,7,6,3]
[3,6,8,1,4,5,7,2]=>[2,7,5,4,1,8,6,3]
[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]
[5,1,4,6,3,7,2,8]=>[8,2,7,3,6,4,1,5]
[1,4,6,5,2,3,7,8]=>[8,7,3,2,5,6,4,1]
[1,5,4,7,8,3,6,2]=>[2,6,3,8,7,4,5,1]
[2,5,4,7,8,3,6,1]=>[1,6,3,8,7,4,5,2]
[1,4,8,5,7,3,6,2]=>[2,6,3,7,5,8,4,1]
[5,2,4,7,8,3,6,1]=>[1,6,3,8,7,4,2,5]
[5,1,4,7,8,3,6,2]=>[2,6,3,8,7,4,1,5]
[3,8,6,1,2,7,5,4]=>[4,5,7,2,1,6,8,3]
[7,1,2,5,6,8,4,3]=>[3,4,8,6,5,2,1,7]
[4,8,1,5,6,2,3,7]=>[7,3,2,6,5,1,8,4]
[3,6,1,5,8,7,2,4]=>[4,2,7,8,5,1,6,3]
[4,1,8,5,3,7,2,6]=>[6,2,7,3,5,8,1,4]
[6,1,4,3,7,2,8,5]=>[5,8,2,7,3,4,1,6]
[5,6,4,1,7,3,8,2]=>[2,8,3,7,1,4,6,5]
[4,3,7,8,2,5,1,6]=>[6,1,5,2,8,7,3,4]
[7,1,4,6,2,8,5,3]=>[3,5,8,2,6,4,1,7]
[3,7,8,5,4,2,1,6]=>[6,1,2,4,5,8,7,3]
[7,1,4,5,8,6,3,2]=>[2,3,6,8,5,4,1,7]
[1,7,4,5,6,8,3,2]=>[2,3,8,6,5,4,7,1]
[7,2,4,5,6,8,3,1]=>[1,3,8,6,5,4,2,7]
[2,7,4,5,6,8,3,1]=>[1,3,8,6,5,4,7,2]
[5,7,4,3,1,6,8,2]=>[2,8,6,1,3,4,7,5]
[5,4,1,6,3,8,2,7]=>[7,2,8,3,6,1,4,5]
[2,4,7,8,3,1,6,5]=>[5,6,1,3,8,7,4,2]
[5,4,3,6,8,1,7,2]=>[2,7,1,8,6,3,4,5]
[3,4,6,2,5,8,1,7]=>[7,1,8,5,2,6,4,3]
[3,7,4,5,8,1,6,2]=>[2,6,1,8,5,4,7,3]
[1,4,3,5,6,8,2,7]=>[7,2,8,6,5,3,4,1]
[1,4,6,5,8,2,7,3]=>[3,7,2,8,5,6,4,1]
[4,6,1,7,3,2,8,5]=>[5,8,2,3,7,1,6,4]
[1,7,3,6,4,2,8,5]=>[5,8,2,4,6,3,7,1]
[4,7,3,5,1,2,8,6]=>[6,8,2,1,5,3,7,4]
[1,6,4,2,3,5,8,7]=>[7,8,5,3,2,4,6,1]
[4,8,3,5,2,1,6,7]=>[7,6,1,2,5,3,8,4]
[1,6,8,4,7,5,3,2]=>[2,3,5,7,4,8,6,1]
[8,7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7,8]
[8,7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7,8]
[8,7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7,8]
[8,7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7,8]
[8,3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3,8]
[8,2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2,8]
[6,8,2,1,3,7,5,4]=>[4,5,7,3,1,2,8,6]
[8,2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2,8]
[8,7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7,8]
[2,8,7,1,3,5,4,6]=>[6,4,5,3,1,7,8,2]
[4,7,1,6,8,2,3,5]=>[5,3,2,8,6,1,7,4]
[4,6,5,8,2,3,7,1]=>[1,7,3,2,8,5,6,4]
[7,1,8,2,4,5,3,6]=>[6,3,5,4,2,8,1,7]
[5,7,8,2,3,4,1,6]=>[6,1,4,3,2,8,7,5]
[5,2,3,8,7,1,4,6]=>[6,4,1,7,8,3,2,5]
[5,6,1,2,8,7,3,4]=>[4,3,7,8,2,1,6,5]
[6,5,7,2,3,8,1,4]=>[4,1,8,3,2,7,5,6]
[3,7,5,4,6,2,1,8]=>[8,1,2,6,4,5,7,3]
[1,4,7,5,3,6,8,2]=>[2,8,6,3,5,7,4,1]
[8,1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1,8]
[8,7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7,8]
[4,1,8,2,7,6,3,5]=>[5,3,6,7,2,8,1,4]
[3,8,5,1,7,6,2,4]=>[4,2,6,7,1,5,8,3]
[8,7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7,8]
[3,8,5,7,6,2,1,4]=>[4,1,2,6,7,5,8,3]
[8,2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2,8]
[2,7,6,4,8,3,1,5]=>[5,1,3,8,4,6,7,2]
[2,6,3,7,5,8,4,1]=>[1,4,8,5,7,3,6,2]
[7,5,1,2,3,8,4,6]=>[6,4,8,3,2,1,5,7]
[8,6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6,8]
[2,8,3,5,6,1,7,4]=>[4,7,1,6,5,3,8,2]
[6,8,2,5,3,1,7,4]=>[4,7,1,3,5,2,8,6]
[5,1,2,4,7,3,6,8]=>[8,6,3,7,4,2,1,5]
[4,2,3,6,8,5,7,1]=>[1,7,5,8,6,3,2,4]
[6,1,3,5,2,4,7,8]=>[8,7,4,2,5,3,1,6]
[4,7,3,2,6,5,1,8]=>[8,1,5,6,2,3,7,4]
[4,3,7,8,2,1,6,5]=>[5,6,1,2,8,7,3,4]
[4,8,7,2,1,5,6,3]=>[3,6,5,1,2,7,8,4]
[7,3,8,2,5,1,6,4]=>[4,6,1,5,2,8,3,7]
[4,5,3,8,6,1,2,7]=>[7,2,1,6,8,3,5,4]
[6,3,5,8,4,1,2,7]=>[7,2,1,4,8,5,3,6]
[7,3,8,4,5,1,2,6]=>[6,2,1,5,4,8,3,7]
[4,8,7,5,1,2,6,3]=>[3,6,2,1,5,7,8,4]
[7,8,4,6,1,3,5,2]=>[2,5,3,1,6,4,8,7]
[4,8,7,5,1,3,6,2]=>[2,6,3,1,5,7,8,4]
[4,5,3,6,8,1,2,7]=>[7,2,1,8,6,3,5,4]
[7,8,6,2,1,4,3,5]=>[5,3,4,1,2,6,8,7]
[7,8,6,3,1,2,5,4]=>[4,5,2,1,3,6,8,7]
[7,2,5,4,3,1,6,8]=>[8,6,1,3,4,5,2,7]
[3,7,6,4,1,5,2,8]=>[8,2,5,1,4,6,7,3]
[8,6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6,8]
[5,8,3,1,4,7,2,6]=>[6,2,7,4,1,3,8,5]
[7,1,8,5,2,6,4,3]=>[3,4,6,2,5,8,1,7]
[7,6,4,1,5,8,2,3]=>[3,2,8,5,1,4,6,7]
[3,1,2,5,8,7,6,4]=>[4,6,7,8,5,2,1,3]
[5,2,8,4,7,1,3,6]=>[6,3,1,7,4,8,2,5]
[7,3,1,2,8,6,5,4]=>[4,5,6,8,2,1,3,7]
[8,3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3,8]
[5,1,6,4,8,3,2,7]=>[7,2,3,8,4,6,1,5]
[4,3,8,6,2,1,5,7]=>[7,5,1,2,6,8,3,4]
[4,6,8,5,2,3,1,7]=>[7,1,3,2,5,8,6,4]
[6,1,4,5,7,2,8,3]=>[3,8,2,7,5,4,1,6]
[8,7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7,8]
[8,7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7,8]
[4,1,3,6,5,7,2,8]=>[8,2,7,5,6,3,1,4]
[4,1,3,5,7,2,8,6]=>[6,8,2,7,5,3,1,4]
[5,1,8,2,4,6,3,7]=>[7,3,6,4,2,8,1,5]
[6,8,2,1,4,5,3,7]=>[7,3,5,4,1,2,8,6]
[4,2,7,3,6,8,5,1]=>[1,5,8,6,3,7,2,4]
[3,1,5,8,6,7,2,4]=>[4,2,7,6,8,5,1,3]
[6,8,2,1,4,5,7,3]=>[3,7,5,4,1,2,8,6]
[1,5,4,8,7,3,2,6]=>[6,2,3,7,8,4,5,1]
[5,2,4,6,7,3,1,8]=>[8,1,3,7,6,4,2,5]
[4,7,1,3,5,8,2,6]=>[6,2,8,5,3,1,7,4]
[4,3,1,2,6,5,7,8]=>[8,7,5,6,2,1,3,4]
[2,5,1,7,3,6,4,8]=>[8,4,6,3,7,1,5,2]
[2,7,5,1,4,3,8,6]=>[6,8,3,4,1,5,7,2]
[3,6,4,1,5,8,2,7]=>[7,2,8,5,1,4,6,3]
[7,2,4,8,3,5,6,1]=>[1,6,5,3,8,4,2,7]
[7,1,2,4,3,6,8,5]=>[5,8,6,3,4,2,1,7]
[7,3,6,1,4,5,8,2]=>[2,8,5,4,1,6,3,7]
[7,1,4,5,8,3,6,2]=>[2,6,3,8,5,4,1,7]
[7,3,6,5,1,2,4,8]=>[8,4,2,1,5,6,3,7]
[7,5,8,1,2,4,3,6]=>[6,3,4,2,1,8,5,7]
[7,1,2,4,3,6,5,8]=>[8,5,6,3,4,2,1,7]
[7,5,8,1,2,4,6,3]=>[3,6,4,2,1,8,5,7]
[3,5,8,1,4,2,6,7]=>[7,6,2,4,1,8,5,3]
[5,3,4,6,8,7,1,2]=>[2,1,7,8,6,4,3,5]
[3,4,8,5,1,2,6,7]=>[7,6,2,1,5,8,4,3]
[5,8,3,1,2,6,7,4]=>[4,7,6,2,1,3,8,5]
[5,7,1,6,3,4,8,2]=>[2,8,4,3,6,1,7,5]
[3,5,2,1,6,7,4,8]=>[8,4,7,6,1,2,5,3]
[6,1,5,2,8,7,4,3]=>[3,4,7,8,2,5,1,6]
[2,6,1,5,8,7,4,3]=>[3,4,7,8,5,1,6,2]
[7,4,1,2,6,3,5,8]=>[8,5,3,6,2,1,4,7]
[6,2,5,1,4,3,7,8]=>[8,7,3,4,1,5,2,6]
[6,1,4,7,5,3,2,8]=>[8,2,3,5,7,4,1,6]
[4,5,2,1,7,3,6,8]=>[8,6,3,7,1,2,5,4]
[3,1,2,8,4,7,6,5]=>[5,6,7,4,8,2,1,3]
[5,4,6,7,1,3,2,8]=>[8,2,3,1,7,6,4,5]
[6,4,1,3,8,5,2,7]=>[7,2,5,8,3,1,4,6]
[7,1,4,3,8,5,2,6]=>[6,2,5,8,3,4,1,7]
[5,3,1,4,6,7,2,8]=>[8,2,7,6,4,1,3,5]
[6,5,1,3,4,7,2,8]=>[8,2,7,4,3,1,5,6]
[6,5,1,2,4,3,7,8]=>[8,7,3,4,2,1,5,6]
[4,5,1,8,6,3,2,7]=>[7,2,3,6,8,1,5,4]
[8,4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4,8]
[3,8,6,4,1,5,7,2]=>[2,7,5,1,4,6,8,3]
[8,7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7,8]
[3,8,6,4,5,1,7,2]=>[2,7,1,5,4,6,8,3]
[3,7,6,4,5,1,2,8]=>[8,2,1,5,4,6,7,3]
[7,4,6,3,1,2,8,5]=>[5,8,2,1,3,6,4,7]
[4,6,2,5,7,8,1,3]=>[3,1,8,7,5,2,6,4]
[4,6,3,5,7,1,2,8]=>[8,2,1,7,5,3,6,4]
[4,7,3,5,8,6,1,2]=>[2,1,6,8,5,3,7,4]
[4,8,3,5,7,1,6,2]=>[2,6,1,7,5,3,8,4]
[4,8,3,5,6,1,2,7]=>[7,2,1,6,5,3,8,4]
[4,7,2,5,6,8,1,3]=>[3,1,8,6,5,2,7,4]
[4,8,2,5,6,7,1,3]=>[3,1,7,6,5,2,8,4]
[1,4,7,2,6,5,8,3]=>[3,8,5,6,2,7,4,1]
[1,5,7,2,6,4,8,3]=>[3,8,4,6,2,7,5,1]
[7,2,4,6,1,8,3,5]=>[5,3,8,1,6,4,2,7]
[4,5,6,2,1,8,3,7]=>[7,3,8,1,2,6,5,4]
[1,2,7,8,3,5,4,6]=>[6,4,5,3,8,7,2,1]
[6,1,4,5,8,2,3,7]=>[7,3,2,8,5,4,1,6]
[1,7,6,2,8,5,4,3]=>[3,4,5,8,2,6,7,1]
[1,2,7,8,3,4,6,5]=>[5,6,4,3,8,7,2,1]
[1,7,6,8,3,4,2,5]=>[5,2,4,3,8,6,7,1]
[7,6,2,5,8,4,1,3]=>[3,1,4,8,5,2,6,7]
[7,1,4,5,8,3,2,6]=>[6,2,3,8,5,4,1,7]
[3,4,1,7,8,6,5,2]=>[2,5,6,8,7,1,4,3]
[2,4,8,6,5,7,1,3]=>[3,1,7,5,6,8,4,2]
[5,1,3,4,8,2,7,6]=>[6,7,2,8,4,3,1,5]
[8,7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7,8]
[6,5,1,8,3,4,7,2]=>[2,7,4,3,8,1,5,6]
[8,2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2,8]
[7,5,6,1,3,4,8,2]=>[2,8,4,3,1,6,5,7]
[5,7,2,4,6,1,8,3]=>[3,8,1,6,4,2,7,5]
[2,1,5,6,3,8,7,4]=>[4,7,8,3,6,5,1,2]
[3,2,7,5,8,6,4,1]=>[1,4,6,8,5,7,2,3]
[2,4,5,3,8,1,7,6]=>[6,7,1,8,3,5,4,2]
[7,2,5,4,3,8,6,1]=>[1,6,8,3,4,5,2,7]
[8,5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5,8]
[7,2,5,1,3,6,8,4]=>[4,8,6,3,1,5,2,7]
[8,4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4,8]
[8,4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4,8]
[1,8,7,3,5,2,6,4]=>[4,6,2,5,3,7,8,1]
[4,8,1,6,2,5,7,3]=>[3,7,5,2,6,1,8,4]
[2,4,8,3,6,5,7,1]=>[1,7,5,6,3,8,4,2]
[4,2,1,8,6,5,7,3]=>[3,7,5,6,8,1,2,4]
[4,7,8,5,2,1,6,3]=>[3,6,1,2,5,8,7,4]
[3,1,8,2,6,5,7,4]=>[4,7,5,6,2,8,1,3]
[2,8,3,6,1,5,7,4]=>[4,7,5,1,6,3,8,2]
[2,8,4,7,3,5,1,6]=>[6,1,5,3,7,4,8,2]
[6,2,8,3,5,4,1,7]=>[7,1,4,5,3,8,2,6]
[7,3,8,4,6,5,2,1]=>[1,2,5,6,4,8,3,7]
[2,4,1,8,6,5,7,3]=>[3,7,5,6,8,1,4,2]
[3,4,2,8,6,5,7,1]=>[1,7,5,6,8,2,4,3]
[1,4,8,2,6,5,7,3]=>[3,7,5,6,2,8,4,1]
[1,3,8,4,6,5,2,7]=>[7,2,5,6,4,8,3,1]
[3,4,8,5,1,6,2,7]=>[7,2,6,1,5,8,4,3]
[4,6,7,8,5,2,1,3]=>[3,1,2,5,8,7,6,4]
[4,7,2,1,8,6,5,3]=>[3,5,6,8,1,2,7,4]
[5,6,2,8,4,1,7,3]=>[3,7,1,4,8,2,6,5]
[5,7,2,4,8,6,1,3]=>[3,1,6,8,4,2,7,5]
[6,7,2,4,8,5,1,3]=>[3,1,5,8,4,2,7,6]
[6,7,3,2,8,5,1,4]=>[4,1,5,8,2,3,7,6]
[7,2,3,1,8,6,5,4]=>[4,5,6,8,1,3,2,7]
[7,2,8,3,5,6,1,4]=>[4,1,6,5,3,8,2,7]
[7,2,3,8,4,6,1,5]=>[5,1,6,4,8,3,2,7]
[1,7,3,4,8,5,2,6]=>[6,2,5,8,4,3,7,1]
[1,7,3,8,5,4,2,6]=>[6,2,4,5,8,3,7,1]
[7,2,8,4,5,3,1,6]=>[6,1,3,5,4,8,2,7]
[2,8,6,4,3,1,7,5]=>[5,7,1,3,4,6,8,2]
[1,7,3,4,8,2,5,6]=>[6,5,2,8,4,3,7,1]
[1,5,8,3,4,6,2,7]=>[7,2,6,4,3,8,5,1]
[1,3,8,4,2,5,7,6]=>[6,7,5,2,4,8,3,1]
[1,4,7,6,2,3,8,5]=>[5,8,3,2,6,7,4,1]
[1,8,4,6,7,2,3,5]=>[5,3,2,7,6,4,8,1]
[2,7,4,5,1,8,6,3]=>[3,6,8,1,5,4,7,2]
[1,4,2,3,7,8,6,5]=>[5,6,8,7,3,2,4,1]
[6,7,1,2,4,8,3,5]=>[5,3,8,4,2,1,7,6]
[7,5,6,2,1,8,3,4]=>[4,3,8,1,2,6,5,7]
[3,2,4,8,5,6,1,7]=>[7,1,6,5,8,4,2,3]
[3,8,4,6,2,7,1,5]=>[5,1,7,2,6,4,8,3]
[3,1,7,4,5,2,6,8]=>[8,6,2,5,4,7,1,3]
[7,3,4,8,1,2,6,5]=>[5,6,2,1,8,4,3,7]
[6,2,1,5,7,8,4,3]=>[3,4,8,7,5,1,2,6]
[5,7,1,6,4,8,3,2]=>[2,3,8,4,6,1,7,5]
[3,5,4,1,2,7,8,6]=>[6,8,7,2,1,4,5,3]
[1,5,8,6,7,4,3,2]=>[2,3,4,7,6,8,5,1]
[1,3,4,8,6,2,5,7]=>[7,5,2,6,8,4,3,1]
[1,7,8,4,5,6,3,2]=>[2,3,6,5,4,8,7,1]
[6,3,1,4,5,7,2,8]=>[8,2,7,5,4,1,3,6]
[3,4,8,2,6,1,5,7]=>[7,5,1,6,2,8,4,3]
[7,4,8,2,1,6,5,3]=>[3,5,6,1,2,8,4,7]
[1,2,6,3,5,7,4,8]=>[8,4,7,5,3,6,2,1]
[4,6,3,7,5,1,2,8]=>[8,2,1,5,7,3,6,4]
[7,4,5,8,1,3,6,2]=>[2,6,3,1,8,5,4,7]
[1,7,8,6,4,2,5,3]=>[3,5,2,4,6,8,7,1]
[7,2,5,8,4,6,1,3]=>[3,1,6,4,8,5,2,7]
[3,6,8,7,5,1,4,2]=>[2,4,1,5,7,8,6,3]
[3,1,5,7,4,8,2,6]=>[6,2,8,4,7,5,1,3]
[7,2,4,6,1,5,8,3]=>[3,8,5,1,6,4,2,7]
[8,7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7,8]
[2,6,3,5,1,7,8,4]=>[4,8,7,1,5,3,6,2]
[1,4,3,6,2,5,8,7]=>[7,8,5,2,6,3,4,1]
[1,4,6,3,2,5,8,7]=>[7,8,5,2,3,6,4,1]
[1,3,6,5,8,2,4,7]=>[7,4,2,8,5,6,3,1]
[1,4,6,3,2,8,5,7]=>[7,5,8,2,3,6,4,1]
[1,4,6,3,8,2,5,7]=>[7,5,2,8,3,6,4,1]
[6,8,4,1,5,7,2,3]=>[3,2,7,5,1,4,8,6]
[5,2,6,7,4,1,8,3]=>[3,8,1,4,7,6,2,5]
[8,5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5,8]
[7,8,3,1,6,4,5,2]=>[2,5,4,6,1,3,8,7]
[5,8,2,6,3,1,7,4]=>[4,7,1,3,6,2,8,5]
[4,5,8,1,6,3,7,2]=>[2,7,3,6,1,8,5,4]
[8,1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1,8]
[4,5,8,1,6,2,7,3]=>[3,7,2,6,1,8,5,4]
[5,2,6,8,1,4,3,7]=>[7,3,4,1,8,6,2,5]
[6,7,3,8,2,1,4,5]=>[5,4,1,2,8,3,7,6]
[2,6,3,7,4,5,8,1]=>[1,8,5,4,7,3,6,2]
[2,7,3,6,4,5,8,1]=>[1,8,5,4,6,3,7,2]
[2,7,3,1,5,8,6,4]=>[4,6,8,5,1,3,7,2]
[2,7,3,5,4,1,8,6]=>[6,8,1,4,5,3,7,2]
[2,6,3,7,4,1,8,5]=>[5,8,1,4,7,3,6,2]
[2,1,4,8,5,3,7,6]=>[6,7,3,5,8,4,1,2]
[2,7,3,8,4,1,6,5]=>[5,6,1,4,8,3,7,2]
[2,6,3,1,5,4,8,7]=>[7,8,4,5,1,3,6,2]
[2,7,3,1,5,4,8,6]=>[6,8,4,5,1,3,7,2]
[1,5,8,3,4,7,2,6]=>[6,2,7,4,3,8,5,1]
[5,3,8,1,4,6,2,7]=>[7,2,6,4,1,8,3,5]
[4,5,8,1,3,6,2,7]=>[7,2,6,3,1,8,5,4]
[7,4,6,5,2,8,3,1]=>[1,3,8,2,5,6,4,7]
[4,1,3,8,5,7,6,2]=>[2,6,7,5,8,3,1,4]
[4,1,3,7,2,8,6,5]=>[5,6,8,2,7,3,1,4]
[4,6,3,1,7,2,8,5]=>[5,8,2,7,1,3,6,4]
[7,2,6,3,1,8,5,4]=>[4,5,8,1,3,6,2,7]
[4,8,7,2,5,3,1,6]=>[6,1,3,5,2,7,8,4]
[1,6,3,2,8,7,4,5]=>[5,4,7,8,2,3,6,1]
[2,8,1,7,5,4,6,3]=>[3,6,4,5,7,1,8,2]
[6,8,3,1,5,7,2,4]=>[4,2,7,5,1,3,8,6]
[7,2,6,1,3,8,5,4]=>[4,5,8,3,1,6,2,7]
[3,7,4,2,6,5,8,1]=>[1,8,5,6,2,4,7,3]
[7,6,2,1,3,8,5,4]=>[4,5,8,3,1,2,6,7]
[8,7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7,8]
[2,7,3,6,1,8,5,4]=>[4,5,8,1,6,3,7,2]
[5,4,8,7,1,3,6,2]=>[2,6,3,1,7,8,4,5]
[1,8,6,2,5,7,4,3]=>[3,4,7,5,2,6,8,1]
[8,1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1,8]
[6,1,8,2,5,7,4,3]=>[3,4,7,5,2,8,1,6]
[2,8,5,7,1,6,4,3]=>[3,4,6,1,7,5,8,2]
[6,3,1,5,2,8,7,4]=>[4,7,8,2,5,1,3,6]
[7,6,4,2,5,3,8,1]=>[1,8,3,5,2,4,6,7]
[7,4,5,1,2,6,8,3]=>[3,8,6,2,1,5,4,7]
[4,7,6,8,5,2,1,3]=>[3,1,2,5,8,6,7,4]
[4,7,6,8,5,2,3,1]=>[1,3,2,5,8,6,7,4]
[7,4,5,1,2,6,3,8]=>[8,3,6,2,1,5,4,7]
[4,7,5,8,2,6,3,1]=>[1,3,6,2,8,5,7,4]
[4,3,1,8,7,6,2,5]=>[5,2,6,7,8,1,3,4]
[5,4,6,1,8,2,7,3]=>[3,7,2,8,1,6,4,5]
[6,4,7,1,5,8,2,3]=>[3,2,8,5,1,7,4,6]
[5,6,4,2,8,1,7,3]=>[3,7,1,8,2,4,6,5]
[6,4,3,7,8,1,5,2]=>[2,5,1,8,7,3,4,6]
[2,4,6,7,1,5,3,8]=>[8,3,5,1,7,6,4,2]
[5,4,3,1,8,6,7,2]=>[2,7,6,8,1,3,4,5]
[5,4,3,6,1,7,8,2]=>[2,8,7,1,6,3,4,5]
[3,2,7,5,8,1,4,6]=>[6,4,1,8,5,7,2,3]
[3,2,7,8,5,6,1,4]=>[4,1,6,5,8,7,2,3]
[4,8,3,2,1,7,5,6]=>[6,5,7,1,2,3,8,4]
[5,1,2,6,4,7,8,3]=>[3,8,7,4,6,2,1,5]
[1,8,4,5,6,3,2,7]=>[7,2,3,6,5,4,8,1]
[7,4,3,6,1,8,5,2]=>[2,5,8,1,6,3,4,7]
[4,7,6,1,5,8,2,3]=>[3,2,8,5,1,6,7,4]
[2,4,7,6,3,5,8,1]=>[1,8,5,3,6,7,4,2]
[2,6,7,3,4,5,8,1]=>[1,8,5,4,3,7,6,2]
[4,7,6,5,1,8,2,3]=>[3,2,8,1,5,6,7,4]
[3,7,4,6,5,8,2,1]=>[1,2,8,5,6,4,7,3]
[2,1,4,7,8,3,6,5]=>[5,6,3,8,7,4,1,2]
[1,6,5,4,8,7,2,3]=>[3,2,7,8,4,5,6,1]
[1,4,6,5,8,7,2,3]=>[3,2,7,8,5,6,4,1]
[8,5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5,8]
[3,4,8,1,6,7,2,5]=>[5,2,7,6,1,8,4,3]
[3,6,7,8,4,1,5,2]=>[2,5,1,4,8,7,6,3]
[2,3,7,8,4,6,1,5]=>[5,1,6,4,8,7,3,2]
[1,3,7,8,4,6,2,5]=>[5,2,6,4,8,7,3,1]
[3,1,7,8,4,6,2,5]=>[5,2,6,4,8,7,1,3]
[4,3,8,1,6,7,2,5]=>[5,2,7,6,1,8,3,4]
[4,8,7,3,6,1,2,5]=>[5,2,1,6,3,7,8,4]
[5,8,4,3,7,1,2,6]=>[6,2,1,7,3,4,8,5]
[4,1,8,3,7,5,2,6]=>[6,2,5,7,3,8,1,4]
[2,4,8,3,6,7,1,5]=>[5,1,7,6,3,8,4,2]
[1,6,5,8,7,3,2,4]=>[4,2,3,7,8,5,6,1]
[5,6,4,8,7,2,1,3]=>[3,1,2,7,8,4,6,5]
[7,2,6,8,3,5,1,4]=>[4,1,5,3,8,6,2,7]
[7,2,8,6,5,3,1,4]=>[4,1,3,5,6,8,2,7]
[4,8,3,7,6,1,2,5]=>[5,2,1,6,7,3,8,4]
[2,8,4,7,1,3,6,5]=>[5,6,3,1,7,4,8,2]
[6,8,3,4,5,2,1,7]=>[7,1,2,5,4,3,8,6]
[3,7,1,4,5,6,2,8]=>[8,2,6,5,4,1,7,3]
[3,6,1,4,5,2,7,8]=>[8,7,2,5,4,1,6,3]
[3,8,2,4,5,1,7,6]=>[6,7,1,5,4,2,8,3]
[3,7,2,1,5,6,4,8]=>[8,4,6,5,1,2,7,3]
[3,6,8,1,5,4,7,2]=>[2,7,4,5,1,8,6,3]
[1,7,4,6,3,5,2,8]=>[8,2,5,3,6,4,7,1]
[1,3,6,5,7,2,4,8]=>[8,4,2,7,5,6,3,1]
[1,7,4,6,2,5,3,8]=>[8,3,5,2,6,4,7,1]
[1,7,2,5,6,4,3,8]=>[8,3,4,6,5,2,7,1]
[1,6,8,5,4,3,7,2]=>[2,7,3,4,5,8,6,1]
[2,5,7,8,4,3,1,6]=>[6,1,3,4,8,7,5,2]
[6,5,8,4,2,1,3,7]=>[7,3,1,2,4,8,5,6]
[6,8,5,3,2,4,1,7]=>[7,1,4,2,3,5,8,6]
[1,6,8,5,3,2,7,4]=>[4,7,2,3,5,8,6,1]
[4,6,1,8,7,5,3,2]=>[2,3,5,7,8,1,6,4]
[1,4,7,8,3,2,6,5]=>[5,6,2,3,8,7,4,1]
[3,8,5,1,2,7,6,4]=>[4,6,7,2,1,5,8,3]
[1,3,7,6,8,5,2,4]=>[4,2,5,8,6,7,3,1]
[3,8,1,7,2,4,6,5]=>[5,6,4,2,7,1,8,3]
[6,7,8,3,1,2,5,4]=>[4,5,2,1,3,8,7,6]
[4,3,1,2,7,5,6,8]=>[8,6,5,7,2,1,3,4]
[4,1,7,6,8,5,3,2]=>[2,3,5,8,6,7,1,4]
[1,7,6,8,5,3,4,2]=>[2,4,3,5,8,6,7,1]
[4,1,7,8,6,5,2,3]=>[3,2,5,6,8,7,1,4]
[4,3,7,6,5,8,1,2]=>[2,1,8,5,6,7,3,4]
[5,4,3,7,6,1,2,8]=>[8,2,1,6,7,3,4,5]
[6,2,4,8,3,5,7,1]=>[1,7,5,3,8,4,2,6]
[6,5,1,7,3,2,4,8]=>[8,4,2,3,7,1,5,6]
[4,7,6,1,2,3,8,5]=>[5,8,3,2,1,6,7,4]
[4,3,1,7,8,6,2,5]=>[5,2,6,8,7,1,3,4]
[3,1,7,8,6,5,2,4]=>[4,2,5,6,8,7,1,3]
[4,5,2,6,7,8,1,3]=>[3,1,8,7,6,2,5,4]
[3,6,2,1,7,8,4,5]=>[5,4,8,7,1,2,6,3]
[7,3,1,8,5,2,6,4]=>[4,6,2,5,8,1,3,7]
[7,5,8,4,2,1,3,6]=>[6,3,1,2,4,8,5,7]
[5,7,1,8,3,2,4,6]=>[6,4,2,3,8,1,7,5]
[5,3,2,7,8,4,1,6]=>[6,1,4,8,7,2,3,5]
[1,7,6,2,3,8,5,4]=>[4,5,8,3,2,6,7,1]
[1,5,2,8,7,3,6,4]=>[4,6,3,7,8,2,5,1]
[4,5,1,3,7,6,2,8]=>[8,2,6,7,3,1,5,4]
[7,2,3,8,6,4,5,1]=>[1,5,4,6,8,3,2,7]
[1,5,4,3,8,6,2,7]=>[7,2,6,8,3,4,5,1]
[1,7,4,5,8,2,3,6]=>[6,3,2,8,5,4,7,1]
[1,3,7,5,8,4,6,2]=>[2,6,4,8,5,7,3,1]
[1,6,2,5,4,3,8,7]=>[7,8,3,4,5,2,6,1]
[1,7,4,5,6,2,3,8]=>[8,3,2,6,5,4,7,1]
[1,7,5,6,4,2,3,8]=>[8,3,2,4,6,5,7,1]
[1,7,6,4,2,3,8,5]=>[5,8,3,2,4,6,7,1]
[1,5,6,2,4,3,8,7]=>[7,8,3,4,2,6,5,1]
[1,6,2,5,7,4,3,8]=>[8,3,4,7,5,2,6,1]
[7,8,1,5,3,4,6,2]=>[2,6,4,3,5,1,8,7]
[7,3,5,4,1,6,2,8]=>[8,2,6,1,4,5,3,7]
[3,5,7,1,6,4,2,8]=>[8,2,4,6,1,7,5,3]
[3,7,5,6,1,4,2,8]=>[8,2,4,1,6,5,7,3]
[1,7,5,6,3,4,8,2]=>[2,8,4,3,6,5,7,1]
[5,3,1,2,7,8,4,6]=>[6,4,8,7,2,1,3,5]
[5,1,3,7,8,2,6,4]=>[4,6,2,8,7,3,1,5]
[5,7,2,6,8,4,3,1]=>[1,3,4,8,6,2,7,5]
[1,6,2,7,8,5,4,3]=>[3,4,5,8,7,2,6,1]
[3,5,6,8,1,7,4,2]=>[2,4,7,1,8,6,5,3]
[5,8,1,2,7,6,4,3]=>[3,4,6,7,2,1,8,5]
[1,6,7,4,5,3,2,8]=>[8,2,3,5,4,7,6,1]
[1,4,7,5,6,3,2,8]=>[8,2,3,6,5,7,4,1]
[7,2,6,3,5,4,1,8]=>[8,1,4,5,3,6,2,7]
[7,5,6,2,4,3,1,8]=>[8,1,3,4,2,6,5,7]
[1,6,7,3,5,4,2,8]=>[8,2,4,5,3,7,6,1]
[1,4,2,6,7,5,3,8]=>[8,3,5,7,6,2,4,1]
[1,4,5,3,2,8,6,7]=>[7,6,8,2,3,5,4,1]
[1,8,2,4,6,5,3,7]=>[7,3,5,6,4,2,8,1]
[3,2,1,5,4,8,6,7]=>[7,6,8,4,5,1,2,3]
[1,3,5,4,2,8,6,7]=>[7,6,8,2,4,5,3,1]
[8,2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2,8]
[1,8,3,7,4,5,2,6]=>[6,2,5,4,7,3,8,1]
[8,5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5,8]
[7,5,2,3,6,8,1,4]=>[4,1,8,6,3,2,5,7]
[2,8,7,1,5,3,4,6]=>[6,4,3,5,1,7,8,2]
[8,1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1,8]
[8,6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6,8]
[7,2,1,6,4,3,8,5]=>[5,8,3,4,6,1,2,7]
[1,7,2,6,4,3,8,5]=>[5,8,3,4,6,2,7,1]
[5,8,2,3,1,7,6,4]=>[4,6,7,1,3,2,8,5]
[6,8,2,5,4,1,7,3]=>[3,7,1,4,5,2,8,6]
[6,8,2,1,3,7,4,5]=>[5,4,7,3,1,2,8,6]
[5,6,1,3,4,8,2,7]=>[7,2,8,4,3,1,6,5]
[6,7,1,8,2,4,5,3]=>[3,5,4,2,8,1,7,6]
[6,1,7,8,2,3,5,4]=>[4,5,3,2,8,7,1,6]
[1,4,8,7,2,3,6,5]=>[5,6,3,2,7,8,4,1]
[8,5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5,8]
[8,5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5,8]
[8,5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5,8]
[1,8,4,6,2,3,7,5]=>[5,7,3,2,6,4,8,1]
[1,8,3,2,6,5,7,4]=>[4,7,5,6,2,3,8,1]
[8,4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4,8]
[3,8,1,2,6,4,5,7]=>[7,5,4,6,2,1,8,3]
[4,2,7,8,1,5,3,6]=>[6,3,5,1,8,7,2,4]
[4,1,3,6,5,8,2,7]=>[7,2,8,5,6,3,1,4]
[4,3,7,1,5,8,2,6]=>[6,2,8,5,1,7,3,4]
[2,5,6,8,7,1,3,4]=>[4,3,1,7,8,6,5,2]
[2,8,1,3,4,6,5,7]=>[7,5,6,4,3,1,8,2]
[3,8,4,5,7,6,1,2]=>[2,1,6,7,5,4,8,3]
[2,8,3,4,6,1,7,5]=>[5,7,1,6,4,3,8,2]
[6,5,3,4,1,7,2,8]=>[8,2,7,1,4,3,5,6]
[1,5,6,4,7,8,2,3]=>[3,2,8,7,4,6,5,1]
[2,8,4,5,7,6,1,3]=>[3,1,6,7,5,4,8,2]
[1,2,4,8,7,5,6,3]=>[3,6,5,7,8,4,2,1]
[2,5,4,8,6,1,3,7]=>[7,3,1,6,8,4,5,2]
[2,4,7,1,8,6,3,5]=>[5,3,6,8,1,7,4,2]
[1,8,6,5,2,7,4,3]=>[3,4,7,2,5,6,8,1]
[1,8,6,2,7,4,3,5]=>[5,3,4,7,2,6,8,1]
[2,7,3,4,8,6,1,5]=>[5,1,6,8,4,3,7,2]
[7,2,6,4,1,8,5,3]=>[3,5,8,1,4,6,2,7]
[1,4,8,6,5,3,7,2]=>[2,7,3,5,6,8,4,1]
[1,7,2,8,6,5,4,3]=>[3,4,5,6,8,2,7,1]
[3,4,2,7,5,6,8,1]=>[1,8,6,5,7,2,4,3]
[3,7,4,2,1,6,8,5]=>[5,8,6,1,2,4,7,3]
[7,2,4,5,1,8,6,3]=>[3,6,8,1,5,4,2,7]
[2,4,1,8,5,3,6,7]=>[7,6,3,5,8,1,4,2]
[6,2,7,4,3,5,1,8]=>[8,1,5,3,4,7,2,6]
[7,3,4,8,2,6,5,1]=>[1,5,6,2,8,4,3,7]
[6,8,2,3,4,5,7,1]=>[1,7,5,4,3,2,8,6]
[2,1,7,3,4,6,5,8]=>[8,5,6,4,3,7,1,2]
[5,8,2,7,1,4,6,3]=>[3,6,4,1,7,2,8,5]
[7,3,8,2,4,5,1,6]=>[6,1,5,4,2,8,3,7]
[5,7,2,3,8,6,4,1]=>[1,4,6,8,3,2,7,5]
[6,4,1,8,3,7,5,2]=>[2,5,7,3,8,1,4,6]
[4,5,8,7,3,6,2,1]=>[1,2,6,3,7,8,5,4]
[3,5,4,1,7,8,6,2]=>[2,6,8,7,1,4,5,3]
[8,5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5,8]
[6,8,7,2,1,5,4,3]=>[3,4,5,1,2,7,8,6]
[6,7,3,5,4,2,8,1]=>[1,8,2,4,5,3,7,6]
[6,5,1,7,3,8,4,2]=>[2,4,8,3,7,1,5,6]
[6,2,7,5,4,3,8,1]=>[1,8,3,4,5,7,2,6]
[7,8,6,2,5,4,3,1]=>[1,3,4,5,2,6,8,7]
[6,1,8,3,7,5,4,2]=>[2,4,5,7,3,8,1,6]
[6,2,8,3,7,5,4,1]=>[1,4,5,7,3,8,2,6]
[6,1,2,8,7,5,4,3]=>[3,4,5,7,8,2,1,6]
[8,1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1,8]
[8,2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2,8]
[8,5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5,8]
[7,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,7]
[2,8,6,3,7,5,4,1]=>[1,4,5,7,3,6,8,2]
[2,7,5,8,6,4,3,1]=>[1,3,4,6,8,5,7,2]
[8,3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3,8]
[2,4,5,1,7,6,8,3]=>[3,8,6,7,1,5,4,2]
[6,2,3,5,7,1,8,4]=>[4,8,1,7,5,3,2,6]
[6,3,4,2,7,1,8,5]=>[5,8,1,7,2,4,3,6]
[6,1,3,5,7,2,8,4]=>[4,8,2,7,5,3,1,6]
[5,1,3,6,7,2,8,4]=>[4,8,2,7,6,3,1,5]
[5,1,3,6,7,4,8,2]=>[2,8,4,7,6,3,1,5]
[3,2,4,6,7,1,8,5]=>[5,8,1,7,6,4,2,3]
[2,8,1,5,6,4,3,7]=>[7,3,4,6,5,1,8,2]
[2,6,8,3,4,7,5,1]=>[1,5,7,4,3,8,6,2]
[6,1,5,7,4,3,8,2]=>[2,8,3,4,7,5,1,6]
[6,8,3,4,7,5,1,2]=>[2,1,5,7,4,3,8,6]
[6,8,3,7,4,2,5,1]=>[1,5,2,4,7,3,8,6]
[6,7,5,1,2,4,8,3]=>[3,8,4,2,1,5,7,6]
[8,2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2,8]
[2,6,7,5,8,4,1,3]=>[3,1,4,8,5,7,6,2]
[1,6,7,5,8,4,2,3]=>[3,2,4,8,5,7,6,1]
[8,3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3,8]
[7,4,1,6,5,2,8,3]=>[3,8,2,5,6,1,4,7]
[5,4,8,3,1,6,7,2]=>[2,7,6,1,3,8,4,5]
[6,4,2,8,1,5,3,7]=>[7,3,5,1,8,2,4,6]
[3,5,8,1,4,7,6,2]=>[2,6,7,4,1,8,5,3]
[7,4,2,8,6,5,3,1]=>[1,3,5,6,8,2,4,7]
[6,8,4,7,3,2,5,1]=>[1,5,2,3,7,4,8,6]
[5,8,7,3,2,1,6,4]=>[4,6,1,2,3,7,8,5]
[5,8,7,2,6,4,3,1]=>[1,3,4,6,2,7,8,5]
[6,8,7,3,5,1,4,2]=>[2,4,1,5,3,7,8,6]
[7,3,4,8,5,2,6,1]=>[1,6,2,5,8,4,3,7]
[4,2,5,8,6,1,3,7]=>[7,3,1,6,8,5,2,4]
[1,6,4,8,7,3,2,5]=>[5,2,3,7,8,4,6,1]
[7,2,5,6,8,3,4,1]=>[1,4,3,8,6,5,2,7]
[6,2,5,7,8,3,1,4]=>[4,1,3,8,7,5,2,6]
[1,6,5,7,8,3,2,4]=>[4,2,3,8,7,5,6,1]
[7,5,3,6,8,2,4,1]=>[1,4,2,8,6,3,5,7]
[8,6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6,8]
[5,4,8,6,7,3,1,2]=>[2,1,3,7,6,8,4,5]
[4,2,7,3,1,6,8,5]=>[5,8,6,1,3,7,2,4]
[7,3,6,4,2,1,8,5]=>[5,8,1,2,4,6,3,7]
[4,8,5,2,7,3,1,6]=>[6,1,3,7,2,5,8,4]
[6,4,3,1,8,5,2,7]=>[7,2,5,8,1,3,4,6]
[7,4,3,1,5,8,6,2]=>[2,6,8,5,1,3,4,7]
[7,4,8,6,5,3,1,2]=>[2,1,3,5,6,8,4,7]
[4,8,5,2,6,7,3,1]=>[1,3,7,6,2,5,8,4]
[7,3,2,1,8,5,6,4]=>[4,6,5,8,1,2,3,7]
[1,5,7,2,4,3,8,6]=>[6,8,3,4,2,7,5,1]
[1,2,7,5,8,4,3,6]=>[6,3,4,8,5,7,2,1]
[5,1,3,8,2,7,4,6]=>[6,4,7,2,8,3,1,5]
[5,7,1,3,2,8,4,6]=>[6,4,8,2,3,1,7,5]
[7,1,6,3,2,8,4,5]=>[5,4,8,2,3,6,1,7]
[8,1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1,8]
[7,1,2,6,4,3,8,5]=>[5,8,3,4,6,2,1,7]
[1,4,7,8,3,2,5,6]=>[6,5,2,3,8,7,4,1]
[8,7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7,8]
[8,1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1,8]
[1,8,2,7,6,3,5,4]=>[4,5,3,6,7,2,8,1]
[8,1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1,8]
[8,2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2,8]
[6,8,4,3,5,1,2,7]=>[7,2,1,5,3,4,8,6]
[8,7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7,8]
[6,3,8,5,7,2,1,4]=>[4,1,2,7,5,8,3,6]
[8,7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7,8]
[5,2,7,4,6,1,3,8]=>[8,3,1,6,4,7,2,5]
[8,7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7,8]
[7,6,3,4,1,8,2,5]=>[5,2,8,1,4,3,6,7]
[6,3,5,2,8,1,4,7]=>[7,4,1,8,2,5,3,6]
[6,4,5,3,1,7,2,8]=>[8,2,7,1,3,5,4,6]
[8,7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7,8]
[7,6,2,3,1,4,8,5]=>[5,8,4,1,3,2,6,7]
[2,8,3,6,5,1,4,7]=>[7,4,1,5,6,3,8,2]
[3,7,4,2,6,5,1,8]=>[8,1,5,6,2,4,7,3]
[4,7,6,5,2,3,1,8]=>[8,1,3,2,5,6,7,4]
[3,7,6,1,2,5,4,8]=>[8,4,5,2,1,6,7,3]
[2,5,1,3,8,7,6,4]=>[4,6,7,8,3,1,5,2]
[2,7,3,4,8,1,5,6]=>[6,5,1,8,4,3,7,2]
[4,7,6,1,3,8,5,2]=>[2,5,8,3,1,6,7,4]
[4,7,6,2,3,1,5,8]=>[8,5,1,3,2,6,7,4]
[5,7,4,2,6,8,3,1]=>[1,3,8,6,2,4,7,5]
[5,1,6,4,8,7,2,3]=>[3,2,7,8,4,6,1,5]
[2,7,6,4,3,8,1,5]=>[5,1,8,3,4,6,7,2]
[4,7,1,5,3,2,8,6]=>[6,8,2,3,5,1,7,4]
[4,7,6,1,3,2,8,5]=>[5,8,2,3,1,6,7,4]
[2,8,1,3,5,6,4,7]=>[7,4,6,5,3,1,8,2]
[2,6,3,4,7,8,5,1]=>[1,5,8,7,4,3,6,2]
[7,6,3,1,8,5,2,4]=>[4,2,5,8,1,3,6,7]
[7,6,3,8,1,5,2,4]=>[4,2,5,1,8,3,6,7]
[1,6,4,7,8,5,3,2]=>[2,3,5,8,7,4,6,1]
[7,2,5,8,6,1,3,4]=>[4,3,1,6,8,5,2,7]
[5,1,6,4,2,7,8,3]=>[3,8,7,2,4,6,1,5]
[6,7,3,8,1,4,2,5]=>[5,2,4,1,8,3,7,6]
[4,1,3,6,2,5,8,7]=>[7,8,5,2,6,3,1,4]
[7,1,4,6,3,2,5,8]=>[8,5,2,3,6,4,1,7]
[7,1,4,6,3,5,2,8]=>[8,2,5,3,6,4,1,7]
[7,1,3,6,5,2,4,8]=>[8,4,2,5,6,3,1,7]
[3,1,2,6,5,4,8,7]=>[7,8,4,5,6,2,1,3]
[1,2,5,6,8,4,3,7]=>[7,3,4,8,6,5,2,1]
[2,5,6,4,7,8,1,3]=>[3,1,8,7,4,6,5,2]
[6,3,5,2,1,7,8,4]=>[4,8,7,1,2,5,3,6]
[6,1,5,3,2,7,8,4]=>[4,8,7,2,3,5,1,6]
[1,3,4,7,2,8,6,5]=>[5,6,8,2,7,4,3,1]
[3,5,2,8,7,4,1,6]=>[6,1,4,7,8,2,5,3]
[7,4,1,8,6,3,2,5]=>[5,2,3,6,8,1,4,7]
[3,7,4,1,5,2,8,6]=>[6,8,2,5,1,4,7,3]
[2,7,3,5,1,4,8,6]=>[6,8,4,1,5,3,7,2]
[7,4,5,8,6,2,3,1]=>[1,3,2,6,8,5,4,7]
[2,3,4,7,8,5,1,6]=>[6,1,5,8,7,4,3,2]
[5,2,4,7,8,3,1,6]=>[6,1,3,8,7,4,2,5]
[5,6,1,3,4,8,7,2]=>[2,7,8,4,3,1,6,5]
[5,6,1,3,8,2,7,4]=>[4,7,2,8,3,1,6,5]
[5,1,6,4,7,8,3,2]=>[2,3,8,7,4,6,1,5]
[5,3,1,2,6,8,7,4]=>[4,7,8,6,2,1,3,5]
[6,4,7,8,1,3,2,5]=>[5,2,3,1,8,7,4,6]
[6,7,2,3,8,4,1,5]=>[5,1,4,8,3,2,7,6]
[6,1,4,7,5,8,3,2]=>[2,3,8,5,7,4,1,6]
[6,3,4,8,2,1,5,7]=>[7,5,1,2,8,4,3,6]
[2,7,3,4,8,5,1,6]=>[6,1,5,8,4,3,7,2]
[2,7,8,1,5,4,3,6]=>[6,3,4,5,1,8,7,2]
[1,4,5,6,2,8,7,3]=>[3,7,8,2,6,5,4,1]
[7,3,4,8,1,5,2,6]=>[6,2,5,1,8,4,3,7]
[1,5,2,6,8,7,4,3]=>[3,4,7,8,6,2,5,1]
[1,8,3,7,5,2,6,4]=>[4,6,2,5,7,3,8,1]
[8,1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1,8]
[7,1,3,8,5,2,6,4]=>[4,6,2,5,8,3,1,7]
[4,7,1,5,2,6,8,3]=>[3,8,6,2,5,1,7,4]
[7,4,1,5,2,6,8,3]=>[3,8,6,2,5,1,4,7]
[3,1,6,7,5,2,8,4]=>[4,8,2,5,7,6,1,3]
[8,6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6,8]
[8,6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6,8]
[7,1,4,5,2,6,8,3]=>[3,8,6,2,5,4,1,7]
[4,1,6,2,3,8,7,5]=>[5,7,8,3,2,6,1,4]
[3,1,7,4,2,8,5,6]=>[6,5,8,2,4,7,1,3]
[3,1,6,4,2,8,7,5]=>[5,7,8,2,4,6,1,3]
[6,5,1,8,2,3,7,4]=>[4,7,3,2,8,1,5,6]
[4,2,1,7,6,3,8,5]=>[5,8,3,6,7,1,2,4]
[5,3,1,8,7,6,2,4]=>[4,2,6,7,8,1,3,5]
[4,3,1,6,2,8,7,5]=>[5,7,8,2,6,1,3,4]
[6,5,3,1,8,7,2,4]=>[4,2,7,8,1,3,5,6]
[4,1,7,5,2,8,3,6]=>[6,3,8,2,5,7,1,4]
[4,1,6,5,2,8,7,3]=>[3,7,8,2,5,6,1,4]
[4,1,7,6,5,2,8,3]=>[3,8,2,5,6,7,1,4]
[5,4,2,1,7,3,8,6]=>[6,8,3,7,1,2,4,5]
[5,4,1,6,2,8,7,3]=>[3,7,8,2,6,1,4,5]
[7,5,6,4,2,8,3,1]=>[1,3,8,2,4,6,5,7]
[5,7,4,6,3,2,8,1]=>[1,8,2,3,6,4,7,5]
[2,7,3,5,4,1,6,8]=>[8,6,1,4,5,3,7,2]
[6,2,4,5,1,7,3,8]=>[8,3,7,1,5,4,2,6]
[2,3,6,1,5,7,4,8]=>[8,4,7,5,1,6,3,2]
[5,6,2,3,4,8,7,1]=>[1,7,8,4,3,2,6,5]
[7,5,6,2,3,8,1,4]=>[4,1,8,3,2,6,5,7]
[3,8,5,4,6,1,7,2]=>[2,7,1,6,4,5,8,3]
[8,4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4,8]
[6,1,4,7,3,2,5,8]=>[8,5,2,3,7,4,1,6]
[8,4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4,8]
[5,2,3,1,6,7,4,8]=>[8,4,7,6,1,3,2,5]
[2,8,4,7,3,5,6,1]=>[1,6,5,3,7,4,8,2]
[1,5,4,8,3,2,6,7]=>[7,6,2,3,8,4,5,1]
[1,5,7,6,3,8,2,4]=>[4,2,8,3,6,7,5,1]
[2,6,3,1,7,8,4,5]=>[5,4,8,7,1,3,6,2]
[2,1,7,8,3,5,4,6]=>[6,4,5,3,8,7,1,2]
[1,5,8,6,7,4,2,3]=>[3,2,4,7,6,8,5,1]
[8,7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7,8]
[3,7,8,2,5,4,1,6]=>[6,1,4,5,2,8,7,3]
[4,7,6,5,8,1,3,2]=>[2,3,1,8,5,6,7,4]
[4,7,8,6,2,1,5,3]=>[3,5,1,2,6,8,7,4]
[4,8,6,3,2,1,7,5]=>[5,7,1,2,3,6,8,4]
[5,1,4,7,6,8,3,2]=>[2,3,8,6,7,4,1,5]
[5,6,4,7,1,8,3,2]=>[2,3,8,1,7,4,6,5]
[5,3,7,4,6,1,8,2]=>[2,8,1,6,4,7,3,5]
[4,1,5,7,8,6,3,2]=>[2,3,6,8,7,5,1,4]
[3,6,7,1,5,4,8,2]=>[2,8,4,5,1,7,6,3]
[3,6,4,7,5,8,2,1]=>[1,2,8,5,7,4,6,3]
[8,1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1,8]
[1,7,4,5,3,8,2,6]=>[6,2,8,3,5,4,7,1]
[5,6,7,4,1,8,3,2]=>[2,3,8,1,4,7,6,5]
[6,5,3,7,8,1,4,2]=>[2,4,1,8,7,3,5,6]
[1,5,6,7,3,8,4,2]=>[2,4,8,3,7,6,5,1]
[6,5,7,3,1,8,2,4]=>[4,2,8,1,3,7,5,6]
[6,4,7,1,5,2,8,3]=>[3,8,2,5,1,7,4,6]
[5,6,7,4,2,1,8,3]=>[3,8,1,2,4,7,6,5]
[5,3,4,7,8,2,6,1]=>[1,6,2,8,7,4,3,5]
[4,6,1,8,2,5,3,7]=>[7,3,5,2,8,1,6,4]
[5,8,3,7,4,1,2,6]=>[6,2,1,4,7,3,8,5]
[3,2,6,1,8,5,4,7]=>[7,4,5,8,1,6,2,3]
[5,7,3,1,4,2,8,6]=>[6,8,2,4,1,3,7,5]
[5,7,3,8,4,2,1,6]=>[6,1,2,4,8,3,7,5]
[3,2,8,4,5,1,7,6]=>[6,7,1,5,4,8,2,3]
[4,8,1,3,5,2,7,6]=>[6,7,2,5,3,1,8,4]
[4,1,6,8,2,5,3,7]=>[7,3,5,2,8,6,1,4]
[6,1,4,8,2,5,3,7]=>[7,3,5,2,8,4,1,6]
[3,2,7,4,5,1,8,6]=>[6,8,1,5,4,7,2,3]
[1,7,4,3,5,8,2,6]=>[6,2,8,5,3,4,7,1]
[7,4,8,5,2,3,6,1]=>[1,6,3,2,5,8,4,7]
[7,3,1,8,4,5,2,6]=>[6,2,5,4,8,1,3,7]
[7,2,8,5,4,3,1,6]=>[6,1,3,4,5,8,2,7]
[5,3,7,1,4,6,2,8]=>[8,2,6,4,1,7,3,5]
[2,7,1,5,4,6,3,8]=>[8,3,6,4,5,1,7,2]
[2,3,7,4,8,1,5,6]=>[6,5,1,8,4,7,3,2]
[4,8,5,2,3,6,7,1]=>[1,7,6,3,2,5,8,4]
[3,4,6,8,2,5,1,7]=>[7,1,5,2,8,6,4,3]
[3,7,2,5,4,6,8,1]=>[1,8,6,4,5,2,7,3]
[3,8,6,5,7,4,2,1]=>[1,2,4,7,5,6,8,3]
[1,6,5,2,8,7,4,3]=>[3,4,7,8,2,5,6,1]
[4,1,7,2,5,8,3,6]=>[6,3,8,5,2,7,1,4]
[3,6,1,7,4,2,8,5]=>[5,8,2,4,7,1,6,3]
[3,1,7,5,2,8,6,4]=>[4,6,8,2,5,7,1,3]
[5,6,3,2,8,7,4,1]=>[1,4,7,8,2,3,6,5]
[2,6,1,7,8,4,3,5]=>[5,3,4,8,7,1,6,2]
[3,2,5,8,6,4,1,7]=>[7,1,4,6,8,5,2,3]
[3,2,5,8,6,1,7,4]=>[4,7,1,6,8,5,2,3]
[3,4,2,5,8,6,1,7]=>[7,1,6,8,5,2,4,3]
[4,5,1,7,2,8,6,3]=>[3,6,8,2,7,1,5,4]
[2,6,3,1,8,7,5,4]=>[4,5,7,8,1,3,6,2]
[3,7,5,2,8,6,4,1]=>[1,4,6,8,2,5,7,3]
[2,8,5,3,6,7,4,1]=>[1,4,7,6,3,5,8,2]
[8,3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3,8]
[2,8,6,3,4,7,5,1]=>[1,5,7,4,3,6,8,2]
[4,8,6,3,7,1,2,5]=>[5,2,1,7,3,6,8,4]
[4,7,1,8,5,3,6,2]=>[2,6,3,5,8,1,7,4]
[1,8,6,4,7,2,5,3]=>[3,5,2,7,4,6,8,1]
[4,8,6,3,5,2,7,1]=>[1,7,2,5,3,6,8,4]
[5,4,2,3,8,7,1,6]=>[6,1,7,8,3,2,4,5]
[7,3,6,4,1,8,2,5]=>[5,2,8,1,4,6,3,7]
[3,8,6,1,5,7,2,4]=>[4,2,7,5,1,6,8,3]
[7,3,6,1,5,8,2,4]=>[4,2,8,5,1,6,3,7]
[6,4,7,2,5,3,1,8]=>[8,1,3,5,2,7,4,6]
[5,7,2,4,8,3,1,6]=>[6,1,3,8,4,2,7,5]
[7,1,4,3,6,8,2,5]=>[5,2,8,6,3,4,1,7]
[3,8,6,1,7,5,4,2]=>[2,4,5,7,1,6,8,3]
[1,8,6,3,5,4,7,2]=>[2,7,4,5,3,6,8,1]
[5,4,1,8,6,3,7,2]=>[2,7,3,6,8,1,4,5]
[6,3,5,4,1,8,7,2]=>[2,7,8,1,4,5,3,6]
[4,8,6,3,5,1,7,2]=>[2,7,1,5,3,6,8,4]
[6,1,2,4,3,8,5,7]=>[7,5,8,3,4,2,1,6]
[6,3,1,5,4,8,7,2]=>[2,7,8,4,5,1,3,6]
[6,3,5,8,4,1,7,2]=>[2,7,1,4,8,5,3,6]
[7,2,1,8,5,4,6,3]=>[3,6,4,5,8,1,2,7]
[1,6,3,7,5,4,8,2]=>[2,8,4,5,7,3,6,1]
[7,1,3,8,5,4,2,6]=>[6,2,4,5,8,3,1,7]
[6,8,2,7,3,4,5,1]=>[1,5,4,3,7,2,8,6]
[2,1,6,3,5,4,7,8]=>[8,7,4,5,3,6,1,2]
[4,8,7,3,5,1,6,2]=>[2,6,1,5,3,7,8,4]
[5,3,8,7,1,6,2,4]=>[4,2,6,1,7,8,3,5]
[5,6,2,4,7,3,1,8]=>[8,1,3,7,4,2,6,5]
[4,1,6,7,2,5,3,8]=>[8,3,5,2,7,6,1,4]
[4,5,1,7,8,2,6,3]=>[3,6,2,8,7,1,5,4]
[3,5,1,7,4,2,8,6]=>[6,8,2,4,7,1,5,3]
[4,2,5,7,1,3,8,6]=>[6,8,3,1,7,5,2,4]
[3,4,2,7,6,1,8,5]=>[5,8,1,6,7,2,4,3]
[3,4,1,6,2,8,7,5]=>[5,7,8,2,6,1,4,3]
[3,5,2,6,1,8,4,7]=>[7,4,8,1,6,2,5,3]
[5,2,6,7,4,3,1,8]=>[8,1,3,4,7,6,2,5]
[8,5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5,8]
[8,6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6,8]
[8,4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4,8]
[8,5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5,8]
[1,7,2,8,5,4,6,3]=>[3,6,4,5,8,2,7,1]
[6,7,1,4,8,5,3,2]=>[2,3,5,8,4,1,7,6]
[7,3,2,8,5,1,4,6]=>[6,4,1,5,8,2,3,7]
[4,1,7,3,2,8,5,6]=>[6,5,8,2,3,7,1,4]
[8,3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3,8]
[4,3,7,8,6,1,5,2]=>[2,5,1,6,8,7,3,4]
[1,2,6,3,7,8,5,4]=>[4,5,8,7,3,6,2,1]
[6,1,3,7,8,5,4,2]=>[2,4,5,8,7,3,1,6]
[4,3,5,7,8,2,1,6]=>[6,1,2,8,7,5,3,4]
[3,6,8,5,4,2,1,7]=>[7,1,2,4,5,8,6,3]
[8,2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2,8]
[1,6,7,3,5,8,2,4]=>[4,2,8,5,3,7,6,1]
[6,4,1,7,5,8,2,3]=>[3,2,8,5,7,1,4,6]
[7,2,5,1,4,3,6,8]=>[8,6,3,4,1,5,2,7]
[4,6,5,2,3,1,7,8]=>[8,7,1,3,2,5,6,4]
[4,5,7,1,3,2,8,6]=>[6,8,2,3,1,7,5,4]
[1,6,5,8,3,4,7,2]=>[2,7,4,3,8,5,6,1]
[5,2,4,7,6,1,3,8]=>[8,3,1,6,7,4,2,5]
[6,1,8,4,7,5,2,3]=>[3,2,5,7,4,8,1,6]
[6,5,1,4,3,7,2,8]=>[8,2,7,3,4,1,5,6]
[2,6,4,7,5,3,1,8]=>[8,1,3,5,7,4,6,2]
[4,6,2,5,7,3,1,8]=>[8,1,3,7,5,2,6,4]
[6,3,4,2,8,7,1,5]=>[5,1,7,8,2,4,3,6]
[5,6,3,7,2,8,4,1]=>[1,4,8,2,7,3,6,5]
[4,5,1,8,6,2,7,3]=>[3,7,2,6,8,1,5,4]
[5,6,1,8,7,2,3,4]=>[4,3,2,7,8,1,6,5]
[4,6,2,8,7,1,3,5]=>[5,3,1,7,8,2,6,4]
[4,2,6,7,8,5,1,3]=>[3,1,5,8,7,6,2,4]
[5,3,8,6,7,1,4,2]=>[2,4,1,7,6,8,3,5]
[4,5,1,6,8,7,3,2]=>[2,3,7,8,6,1,5,4]
[2,8,3,4,5,6,1,7]=>[7,1,6,5,4,3,8,2]
[3,8,6,1,5,2,4,7]=>[7,4,2,5,1,6,8,3]
[3,2,8,1,5,6,4,7]=>[7,4,6,5,1,8,2,3]
[5,8,7,3,2,1,4,6]=>[6,4,1,2,3,7,8,5]
[3,4,7,6,8,2,1,5]=>[5,1,2,8,6,7,4,3]
[2,8,1,3,7,5,6,4]=>[4,6,5,7,3,1,8,2]
[1,8,7,2,5,6,4,3]=>[3,4,6,5,2,7,8,1]
[2,3,6,4,7,8,1,5]=>[5,1,8,7,4,6,3,2]
[2,3,7,4,5,8,1,6]=>[6,1,8,5,4,7,3,2]
[7,6,1,2,5,8,4,3]=>[3,4,8,5,2,1,6,7]
[3,4,7,1,5,8,2,6]=>[6,2,8,5,1,7,4,3]
[4,2,7,1,5,8,3,6]=>[6,3,8,5,1,7,2,4]
[2,4,6,3,5,1,7,8]=>[8,7,1,5,3,6,4,2]
[4,1,6,2,5,8,3,7]=>[7,3,8,5,2,6,1,4]
[1,8,2,5,7,3,4,6]=>[6,4,3,7,5,2,8,1]
[1,4,6,3,8,5,2,7]=>[7,2,5,8,3,6,4,1]
[4,5,6,3,1,7,2,8]=>[8,2,7,1,3,6,5,4]
[3,4,6,2,5,1,7,8]=>[8,7,1,5,2,6,4,3]
[1,4,7,5,2,3,6,8]=>[8,6,3,2,5,7,4,1]
[1,4,6,5,8,2,3,7]=>[7,3,2,8,5,6,4,1]
[1,4,8,3,7,6,2,5]=>[5,2,6,7,3,8,4,1]
[1,4,5,3,7,2,6,8]=>[8,6,2,7,3,5,4,1]
[3,5,7,2,1,8,4,6]=>[6,4,8,1,2,7,5,3]
[2,5,7,3,8,6,1,4]=>[4,1,6,8,3,7,5,2]
[2,4,7,8,3,6,1,5]=>[5,1,6,3,8,7,4,2]
[2,5,7,6,8,3,4,1]=>[1,4,3,8,6,7,5,2]
[2,5,7,6,8,3,1,4]=>[4,1,3,8,6,7,5,2]
[2,8,6,7,1,3,4,5]=>[5,4,3,1,7,6,8,2]
[6,3,4,8,5,2,1,7]=>[7,1,2,5,8,4,3,6]
[2,3,5,4,8,1,6,7]=>[7,6,1,8,4,5,3,2]
[8,3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3,8]
[1,6,8,3,5,4,7,2]=>[2,7,4,5,3,8,6,1]
[6,7,1,3,5,4,8,2]=>[2,8,4,5,3,1,7,6]
[5,6,8,2,7,1,3,4]=>[4,3,1,7,2,8,6,5]
[6,7,1,5,4,8,3,2]=>[2,3,8,4,5,1,7,6]
[6,5,4,7,1,8,3,2]=>[2,3,8,1,7,4,5,6]
[8,3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3,8]
[3,1,6,7,2,8,5,4]=>[4,5,8,2,7,6,1,3]
[1,6,8,5,3,4,7,2]=>[2,7,4,3,5,8,6,1]
[1,5,3,6,8,4,7,2]=>[2,7,4,8,6,3,5,1]
[8,3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3,8]
[6,5,1,3,8,4,7,2]=>[2,7,4,8,3,1,5,6]
[5,1,3,6,8,4,7,2]=>[2,7,4,8,6,3,1,5]
[3,8,4,6,5,1,7,2]=>[2,7,1,5,6,4,8,3]
[7,3,1,2,6,8,5,4]=>[4,5,8,6,2,1,3,7]
[1,7,4,8,5,3,2,6]=>[6,2,3,5,8,4,7,1]
[7,3,1,6,8,4,5,2]=>[2,5,4,8,6,1,3,7]
[6,8,4,5,1,7,3,2]=>[2,3,7,1,5,4,8,6]
[8,4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4,8]
[8,5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5,8]
[7,4,8,5,3,1,2,6]=>[6,2,1,3,5,8,4,7]
[3,4,7,5,6,8,2,1]=>[1,2,8,6,5,7,4,3]
[3,4,7,8,5,2,6,1]=>[1,6,2,5,8,7,4,3]
[4,5,8,6,1,7,2,3]=>[3,2,7,1,6,8,5,4]
[4,8,5,6,1,7,2,3]=>[3,2,7,1,6,5,8,4]
[2,5,8,6,3,7,4,1]=>[1,4,7,3,6,8,5,2]
[3,4,7,2,8,6,5,1]=>[1,5,6,8,2,7,4,3]
[2,3,7,8,6,1,5,4]=>[4,5,1,6,8,7,3,2]
[2,8,1,5,7,4,3,6]=>[6,3,4,7,5,1,8,2]
[2,3,8,4,7,5,1,6]=>[6,1,5,7,4,8,3,2]
[3,8,4,5,1,7,6,2]=>[2,6,7,1,5,4,8,3]
[7,4,1,2,5,3,6,8]=>[8,6,3,5,2,1,4,7]
[4,1,3,5,2,8,6,7]=>[7,6,8,2,5,3,1,4]
[4,3,7,5,1,2,6,8]=>[8,6,2,1,5,7,3,4]
[4,5,3,1,6,2,7,8]=>[8,7,2,6,1,3,5,4]
[7,4,2,1,5,3,6,8]=>[8,6,3,5,1,2,4,7]
[6,7,3,5,4,2,1,8]=>[8,1,2,4,5,3,7,6]
[3,7,4,2,1,6,5,8]=>[8,5,6,1,2,4,7,3]
[6,3,7,5,4,2,1,8]=>[8,1,2,4,5,7,3,6]
[2,7,3,1,4,6,5,8]=>[8,5,6,4,1,3,7,2]
[4,3,1,8,7,2,6,5]=>[5,6,2,7,8,1,3,4]
[2,5,3,1,7,6,4,8]=>[8,4,6,7,1,3,5,2]
[5,3,1,2,7,6,4,8]=>[8,4,6,7,2,1,3,5]
[4,5,1,3,6,2,7,8]=>[8,7,2,6,3,1,5,4]
[5,6,4,1,3,2,7,8]=>[8,7,2,3,1,4,6,5]
[7,4,2,3,6,5,1,8]=>[8,1,5,6,3,2,4,7]
[7,2,4,3,1,5,6,8]=>[8,6,5,1,3,4,2,7]
[6,3,1,4,8,5,7,2]=>[2,7,5,8,4,1,3,6]
[6,3,5,4,8,7,1,2]=>[2,1,7,8,4,5,3,6]
[2,6,4,3,1,7,5,8]=>[8,5,7,1,3,4,6,2]
[4,8,1,7,5,6,3,2]=>[2,3,6,5,7,1,8,4]
[1,5,7,2,8,4,6,3]=>[3,6,4,8,2,7,5,1]
[5,8,7,2,3,6,4,1]=>[1,4,6,3,2,7,8,5]
[4,6,5,1,2,3,7,8]=>[8,7,3,2,1,5,6,4]
[1,8,7,5,2,6,3,4]=>[4,3,6,2,5,7,8,1]
[1,7,6,3,4,5,8,2]=>[2,8,5,4,3,6,7,1]
[1,8,7,4,5,6,2,3]=>[3,2,6,5,4,7,8,1]
[1,8,7,3,6,4,2,5]=>[5,2,4,6,3,7,8,1]
[1,4,7,5,8,2,6,3]=>[3,6,2,8,5,7,4,1]
[1,4,7,2,3,6,5,8]=>[8,5,6,3,2,7,4,1]
[1,7,2,5,6,3,4,8]=>[8,4,3,6,5,2,7,1]
[1,2,6,5,8,3,4,7]=>[7,4,3,8,5,6,2,1]
[1,5,8,2,6,3,4,7]=>[7,4,3,6,2,8,5,1]
[6,3,5,1,4,2,7,8]=>[8,7,2,4,1,5,3,6]
[6,8,3,2,7,5,1,4]=>[4,1,5,7,2,3,8,6]
[7,4,2,1,3,8,6,5]=>[5,6,8,3,1,2,4,7]
[8,1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1,8]
[7,3,6,8,1,2,5,4]=>[4,5,2,1,8,6,3,7]
[7,3,5,6,8,2,4,1]=>[1,4,2,8,6,5,3,7]
[7,2,6,4,8,1,5,3]=>[3,5,1,8,4,6,2,7]
[7,3,2,1,5,8,6,4]=>[4,6,8,5,1,2,3,7]
[4,1,5,7,2,6,3,8]=>[8,3,6,2,7,5,1,4]
[5,7,2,1,3,6,4,8]=>[8,4,6,3,1,2,7,5]
[6,1,8,7,2,5,3,4]=>[4,3,5,2,7,8,1,6]
[7,2,5,8,6,4,3,1]=>[1,3,4,6,8,5,2,7]
[7,6,3,5,1,4,2,8]=>[8,2,4,1,5,3,6,7]
[4,1,5,3,7,6,2,8]=>[8,2,6,7,3,5,1,4]
[2,5,4,1,7,6,3,8]=>[8,3,6,7,1,4,5,2]
[5,1,6,8,3,2,4,7]=>[7,4,2,3,8,6,1,5]
[2,6,8,7,3,5,4,1]=>[1,4,5,3,7,8,6,2]
[2,1,8,6,5,3,4,7]=>[7,4,3,5,6,8,1,2]
[2,7,8,6,5,3,4,1]=>[1,4,3,5,6,8,7,2]
[3,5,6,7,2,4,1,8]=>[8,1,4,2,7,6,5,3]
[6,4,7,5,2,3,1,8]=>[8,1,3,2,5,7,4,6]
[1,5,6,4,8,3,2,7]=>[7,2,3,8,4,6,5,1]
[2,1,5,6,4,8,3,7]=>[7,3,8,4,6,5,1,2]
[5,1,4,7,8,6,2,3]=>[3,2,6,8,7,4,1,5]
[1,6,7,2,8,5,4,3]=>[3,4,5,8,2,7,6,1]
[5,3,2,1,7,8,6,4]=>[4,6,8,7,1,2,3,5]
[7,4,3,8,6,1,5,2]=>[2,5,1,6,8,3,4,7]
[4,3,7,1,5,8,6,2]=>[2,6,8,5,1,7,3,4]
[8,2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2,8]
[1,4,3,2,7,5,8,6]=>[6,8,5,7,2,3,4,1]
[4,8,7,2,6,1,3,5]=>[5,3,1,6,2,7,8,4]
[4,5,8,2,1,7,3,6]=>[6,3,7,1,2,8,5,4]
[6,8,4,1,7,3,2,5]=>[5,2,3,7,1,4,8,6]
[6,3,1,8,2,7,5,4]=>[4,5,7,2,8,1,3,6]
[3,8,5,2,1,7,6,4]=>[4,6,7,1,2,5,8,3]
[2,4,8,7,5,1,6,3]=>[3,6,1,5,7,8,4,2]
[6,4,1,3,2,5,7,8]=>[8,7,5,2,3,1,4,6]
[4,1,7,8,3,2,5,6]=>[6,5,2,3,8,7,1,4]
[5,4,7,1,3,6,2,8]=>[8,2,6,3,1,7,4,5]
[1,8,2,4,5,3,6,7]=>[7,6,3,5,4,2,8,1]
[1,8,2,4,5,3,7,6]=>[6,7,3,5,4,2,8,1]
[3,5,8,6,2,1,7,4]=>[4,7,1,2,6,8,5,3]
[2,8,6,1,3,4,7,5]=>[5,7,4,3,1,6,8,2]
[6,5,7,2,3,8,4,1]=>[1,4,8,3,2,7,5,6]
[5,6,8,2,7,4,3,1]=>[1,3,4,7,2,8,6,5]
[7,6,2,8,4,5,3,1]=>[1,3,5,4,8,2,6,7]
[5,8,2,1,3,6,4,7]=>[7,4,6,3,1,2,8,5]
[5,8,2,1,7,4,6,3]=>[3,6,4,7,1,2,8,5]
[5,7,6,2,8,4,3,1]=>[1,3,4,8,2,6,7,5]
[7,8,6,2,3,1,5,4]=>[4,5,1,3,2,6,8,7]
[2,8,6,1,7,5,4,3]=>[3,4,5,7,1,6,8,2]
[8,2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2,8]
[1,4,8,5,7,3,2,6]=>[6,2,3,7,5,8,4,1]
[8,2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2,8]
[6,5,1,4,8,7,3,2]=>[2,3,7,8,4,1,5,6]
[8,5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5,8]
[5,1,2,4,7,3,8,6]=>[6,8,3,7,4,2,1,5]
[6,2,5,4,1,7,3,8]=>[8,3,7,1,4,5,2,6]
[6,2,8,7,4,1,5,3]=>[3,5,1,4,7,8,2,6]
[8,4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4,8]
[4,1,2,6,5,7,3,8]=>[8,3,7,5,6,2,1,4]
[8,6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6,8]
[5,7,6,3,4,1,8,2]=>[2,8,1,4,3,6,7,5]
[5,3,1,6,4,7,8,2]=>[2,8,7,4,6,1,3,5]
[1,5,6,2,7,4,8,3]=>[3,8,4,7,2,6,5,1]
[8,3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3,8]
[2,1,5,7,3,6,4,8]=>[8,4,6,3,7,5,1,2]
[6,4,5,8,2,1,3,7]=>[7,3,1,2,8,5,4,6]
[7,3,8,2,1,5,4,6]=>[6,4,5,1,2,8,3,7]
[1,3,6,2,8,5,7,4]=>[4,7,5,8,2,6,3,1]
[5,3,8,6,1,7,2,4]=>[4,2,7,1,6,8,3,5]
[2,5,3,6,8,1,7,4]=>[4,7,1,8,6,3,5,2]
[7,1,5,6,4,8,2,3]=>[3,2,8,4,6,5,1,7]
[1,8,3,6,2,5,7,4]=>[4,7,5,2,6,3,8,1]
[3,1,8,6,2,5,7,4]=>[4,7,5,2,6,8,1,3]
[6,4,2,3,1,7,8,5]=>[5,8,7,1,3,2,4,6]
[1,8,3,5,2,6,4,7]=>[7,4,6,2,5,3,8,1]
[3,4,6,1,8,5,7,2]=>[2,7,5,8,1,6,4,3]
[2,3,8,7,4,5,1,6]=>[6,1,5,4,7,8,3,2]
[1,8,3,5,7,4,2,6]=>[6,2,4,7,5,3,8,1]
[2,5,8,4,6,7,1,3]=>[3,1,7,6,4,8,5,2]
[7,1,2,6,4,3,5,8]=>[8,5,3,4,6,2,1,7]
[7,1,2,6,5,3,4,8]=>[8,4,3,5,6,2,1,7]
[3,4,6,2,7,1,8,5]=>[5,8,1,7,2,6,4,3]
[5,1,2,7,4,3,8,6]=>[6,8,3,4,7,2,1,5]
[2,1,4,7,3,8,6,5]=>[5,6,8,3,7,4,1,2]
[6,4,3,5,1,7,8,2]=>[2,8,7,1,5,3,4,6]
[5,4,6,8,3,7,1,2]=>[2,1,7,3,8,6,4,5]
[2,7,4,6,3,5,8,1]=>[1,8,5,3,6,4,7,2]
[7,1,4,6,3,5,8,2]=>[2,8,5,3,6,4,1,7]
[4,3,6,7,2,5,8,1]=>[1,8,5,2,7,6,3,4]
[4,3,6,8,2,5,1,7]=>[7,1,5,2,8,6,3,4]
[4,7,8,6,2,3,5,1]=>[1,5,3,2,6,8,7,4]
[4,8,6,2,3,5,7,1]=>[1,7,5,3,2,6,8,4]
[2,4,8,7,1,5,6,3]=>[3,6,5,1,7,8,4,2]
[3,2,8,6,4,7,5,1]=>[1,5,7,4,6,8,2,3]
[2,8,4,7,3,1,5,6]=>[6,5,1,3,7,4,8,2]
[2,3,1,4,8,7,5,6]=>[6,5,7,8,4,1,3,2]
[3,1,5,8,2,6,4,7]=>[7,4,6,2,8,5,1,3]
[7,1,2,4,8,6,5,3]=>[3,5,6,8,4,2,1,7]
[5,3,4,1,8,7,6,2]=>[2,6,7,8,1,4,3,5]
[7,1,3,2,8,6,5,4]=>[4,5,6,8,2,3,1,7]
[2,5,3,1,8,7,6,4]=>[4,6,7,8,1,3,5,2]
[4,3,5,1,8,7,6,2]=>[2,6,7,8,1,5,3,4]
[4,6,1,8,7,2,3,5]=>[5,3,2,7,8,1,6,4]
[2,7,5,6,4,8,1,3]=>[3,1,8,4,6,5,7,2]
[2,7,3,5,6,1,8,4]=>[4,8,1,6,5,3,7,2]
[4,8,2,5,6,1,7,3]=>[3,7,1,6,5,2,8,4]
[3,8,4,7,1,5,6,2]=>[2,6,5,1,7,4,8,3]
[3,6,7,1,5,8,4,2]=>[2,4,8,5,1,7,6,3]
[2,8,3,6,5,7,1,4]=>[4,1,7,5,6,3,8,2]
[4,3,7,1,8,6,2,5]=>[5,2,6,8,1,7,3,4]
[3,8,1,6,2,4,7,5]=>[5,7,4,2,6,1,8,3]
[2,5,8,4,1,6,7,3]=>[3,7,6,1,4,8,5,2]
[7,4,3,1,6,5,2,8]=>[8,2,5,6,1,3,4,7]
[3,5,1,2,6,8,7,4]=>[4,7,8,6,2,1,5,3]
[3,1,2,4,8,7,5,6]=>[6,5,7,8,4,2,1,3]
[1,6,8,4,7,3,5,2]=>[2,5,3,7,4,8,6,1]
[1,6,8,5,4,7,3,2]=>[2,3,7,4,5,8,6,1]
[6,8,5,4,7,3,1,2]=>[2,1,3,7,4,5,8,6]
[6,8,5,1,4,7,3,2]=>[2,3,7,4,1,5,8,6]
[5,6,8,3,1,4,7,2]=>[2,7,4,1,3,8,6,5]
[1,5,6,8,3,4,7,2]=>[2,7,4,3,8,6,5,1]
[1,3,6,8,5,4,7,2]=>[2,7,4,5,8,6,3,1]
[5,6,7,1,4,8,3,2]=>[2,3,8,4,1,7,6,5]
[5,4,1,2,3,7,8,6]=>[6,8,7,3,2,1,4,5]
[1,6,7,2,5,8,3,4]=>[4,3,8,5,2,7,6,1]
[7,8,5,6,2,4,3,1]=>[1,3,4,2,6,5,8,7]
[5,3,8,6,2,4,1,7]=>[7,1,4,2,6,8,3,5]
[2,7,4,6,3,8,1,5]=>[5,1,8,3,6,4,7,2]
[5,4,7,8,6,2,1,3]=>[3,1,2,6,8,7,4,5]
[2,7,4,8,3,1,5,6]=>[6,5,1,3,8,4,7,2]
[8,2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2,8]
[6,5,8,2,3,4,7,1]=>[1,7,4,3,2,8,5,6]
[7,8,2,3,6,4,5,1]=>[1,5,4,6,3,2,8,7]
[8,1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1,8]
[4,2,8,1,3,7,5,6]=>[6,5,7,3,1,8,2,4]
[7,5,1,8,2,3,4,6]=>[6,4,3,2,8,1,5,7]
[8,2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2,8]
[8,1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1,8]
[7,1,8,2,3,6,4,5]=>[5,4,6,3,2,8,1,7]
[4,2,6,7,5,1,8,3]=>[3,8,1,5,7,6,2,4]
[4,7,2,5,3,8,1,6]=>[6,1,8,3,5,2,7,4]
[3,5,7,4,2,8,1,6]=>[6,1,8,2,4,7,5,3]
[2,4,7,6,3,8,1,5]=>[5,1,8,3,6,7,4,2]
[4,6,8,5,1,2,3,7]=>[7,3,2,1,5,8,6,4]
[4,6,5,7,1,2,3,8]=>[8,3,2,1,7,5,6,4]
[4,6,5,7,1,3,8,2]=>[2,8,3,1,7,5,6,4]
[3,4,7,6,1,8,2,5]=>[5,2,8,1,6,7,4,3]
[5,8,6,1,4,2,3,7]=>[7,3,2,4,1,6,8,5]
[5,7,2,4,1,6,8,3]=>[3,8,6,1,4,2,7,5]
[8,5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5,8]
[8,5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5,8]
[8,5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5,8]
[8,5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5,8]
[5,6,2,1,8,7,4,3]=>[3,4,7,8,1,2,6,5]
[8,5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5,8]
[1,6,5,8,3,2,4,7]=>[7,4,2,3,8,5,6,1]
[8,5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5,8]
[7,1,8,5,3,2,4,6]=>[6,4,2,3,5,8,1,7]
[8,6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6,8]
[8,1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1,8]
[8,2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2,8]
[8,6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6,8]
[6,2,1,5,7,8,3,4]=>[4,3,8,7,5,1,2,6]
[7,3,1,6,4,8,2,5]=>[5,2,8,4,6,1,3,7]
[2,6,1,8,7,4,5,3]=>[3,5,4,7,8,1,6,2]
[4,2,8,5,7,1,6,3]=>[3,6,1,7,5,8,2,4]
[4,8,5,1,2,6,3,7]=>[7,3,6,2,1,5,8,4]
[6,8,2,5,7,3,4,1]=>[1,4,3,7,5,2,8,6]
[8,6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6,8]
[7,2,5,8,4,6,3,1]=>[1,3,6,4,8,5,2,7]
[6,8,7,4,5,3,2,1]=>[1,2,3,5,4,7,8,6]
[5,3,7,6,2,8,1,4]=>[4,1,8,2,6,7,3,5]
[5,2,6,7,4,8,3,1]=>[1,3,8,4,7,6,2,5]
[2,6,5,8,3,7,4,1]=>[1,4,7,3,8,5,6,2]
[4,2,7,8,5,3,6,1]=>[1,6,3,5,8,7,2,4]
[3,6,5,7,8,1,4,2]=>[2,4,1,8,7,5,6,3]
[5,6,2,3,8,7,4,1]=>[1,4,7,8,3,2,6,5]
[4,5,7,1,8,6,3,2]=>[2,3,6,8,1,7,5,4]
[3,7,6,5,4,1,2,8]=>[8,2,1,4,5,6,7,3]
[7,6,8,3,1,4,2,5]=>[5,2,4,1,3,8,6,7]
[8,5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5,8]
[2,6,4,7,5,1,3,8]=>[8,3,1,5,7,4,6,2]
[6,5,8,1,7,3,2,4]=>[4,2,3,7,1,8,5,6]
[8,3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3,8]
[6,4,8,1,5,2,3,7]=>[7,3,2,5,1,8,4,6]
[1,4,7,3,8,6,5,2]=>[2,5,6,8,3,7,4,1]
[7,2,4,1,6,3,5,8]=>[8,5,3,6,1,4,2,7]
[5,2,4,1,3,6,8,7]=>[7,8,6,3,1,4,2,5]
[2,6,1,5,3,4,8,7]=>[7,8,4,3,5,1,6,2]
[3,8,7,5,4,2,6,1]=>[1,6,2,4,5,7,8,3]
[5,7,8,2,3,6,4,1]=>[1,4,6,3,2,8,7,5]
[2,8,7,3,1,4,5,6]=>[6,5,4,1,3,7,8,2]
[5,6,1,2,4,7,8,3]=>[3,8,7,4,2,1,6,5]
[3,8,6,7,5,4,2,1]=>[1,2,4,5,7,6,8,3]
[7,8,5,1,4,6,2,3]=>[3,2,6,4,1,5,8,7]
[8,2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2,8]
[8,4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4,8]
[4,6,7,1,3,2,8,5]=>[5,8,2,3,1,7,6,4]
[6,4,7,5,3,2,8,1]=>[1,8,2,3,5,7,4,6]
[8,4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4,8]
[7,3,1,4,5,6,8,2]=>[2,8,6,5,4,1,3,7]
[7,8,1,2,4,5,3,6]=>[6,3,5,4,2,1,8,7]
[1,8,5,7,3,2,6,4]=>[4,6,2,3,7,5,8,1]
[1,7,5,8,3,2,6,4]=>[4,6,2,3,8,5,7,1]
[8,3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3,8]
[7,3,2,4,1,8,5,6]=>[6,5,8,1,4,2,3,7]
[7,2,4,3,6,1,5,8]=>[8,5,1,6,3,4,2,7]
[6,3,2,4,7,1,5,8]=>[8,5,1,7,4,2,3,6]
[6,7,3,4,2,1,8,5]=>[5,8,1,2,4,3,7,6]
[6,4,8,3,1,5,7,2]=>[2,7,5,1,3,8,4,6]
[7,4,2,3,5,1,8,6]=>[6,8,1,5,3,2,4,7]
[3,1,6,5,2,4,8,7]=>[7,8,4,2,5,6,1,3]
[5,2,8,7,6,3,4,1]=>[1,4,3,6,7,8,2,5]
[3,6,8,7,4,5,1,2]=>[2,1,5,4,7,8,6,3]
[1,6,8,7,4,5,2,3]=>[3,2,5,4,7,8,6,1]
[8,3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3,8]
[4,5,2,8,6,3,1,7]=>[7,1,3,6,8,2,5,4]
[5,8,4,2,6,3,1,7]=>[7,1,3,6,2,4,8,5]
[2,5,3,8,6,4,1,7]=>[7,1,4,6,8,3,5,2]
[7,4,2,8,5,3,1,6]=>[6,1,3,5,8,2,4,7]
[7,8,3,2,6,4,1,5]=>[5,1,4,6,2,3,8,7]
[6,8,3,2,7,4,1,5]=>[5,1,4,7,2,3,8,6]
[7,2,8,3,6,4,1,5]=>[5,1,4,6,3,8,2,7]
[5,3,8,2,6,4,1,7]=>[7,1,4,6,2,8,3,5]
[5,2,3,8,6,4,1,7]=>[7,1,4,6,8,3,2,5]
[4,2,5,8,6,3,1,7]=>[7,1,3,6,8,5,2,4]
[5,8,3,4,6,2,1,7]=>[7,1,2,6,4,3,8,5]
[5,7,4,1,8,3,6,2]=>[2,6,3,8,1,4,7,5]
[6,7,1,5,8,3,2,4]=>[4,2,3,8,5,1,7,6]
[6,8,1,7,3,4,5,2]=>[2,5,4,3,7,1,8,6]
[5,7,3,1,6,4,2,8]=>[8,2,4,6,1,3,7,5]
[6,7,1,5,4,3,2,8]=>[8,2,3,4,5,1,7,6]
[5,8,4,1,3,2,7,6]=>[6,7,2,3,1,4,8,5]
[5,8,4,1,3,2,6,7]=>[7,6,2,3,1,4,8,5]
[5,6,4,3,1,7,2,8]=>[8,2,7,1,3,4,6,5]
[4,3,6,5,1,7,2,8]=>[8,2,7,1,5,6,3,4]
[5,6,4,3,1,7,8,2]=>[2,8,7,1,3,4,6,5]
[5,7,4,1,6,3,8,2]=>[2,8,3,6,1,4,7,5]
[5,8,4,1,3,6,2,7]=>[7,2,6,3,1,4,8,5]
[6,8,1,5,3,7,4,2]=>[2,4,7,3,5,1,8,6]
[7,8,1,3,4,2,5,6]=>[6,5,2,4,3,1,8,7]
[6,8,1,4,3,5,2,7]=>[7,2,5,3,4,1,8,6]
[4,7,6,3,1,8,5,2]=>[2,5,8,1,3,6,7,4]
[5,3,4,7,6,1,8,2]=>[2,8,1,6,7,4,3,5]
[4,2,5,3,6,7,1,8]=>[8,1,7,6,3,5,2,4]
[8,2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2,8]
[6,2,3,5,1,7,4,8]=>[8,4,7,1,5,3,2,6]
[7,3,8,4,6,1,2,5]=>[5,2,1,6,4,8,3,7]
[8,4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4,8]
[1,4,6,3,5,2,8,7]=>[7,8,2,5,3,6,4,1]
[5,4,3,8,6,2,1,7]=>[7,1,2,6,8,3,4,5]
[8,7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7,8]
[5,7,2,1,4,8,3,6]=>[6,3,8,4,1,2,7,5]
[2,7,4,8,3,1,6,5]=>[5,6,1,3,8,4,7,2]
[4,5,2,1,6,3,8,7]=>[7,8,3,6,1,2,5,4]
[4,5,2,1,6,7,3,8]=>[8,3,7,6,1,2,5,4]
[5,3,8,6,2,4,7,1]=>[1,7,4,2,6,8,3,5]
[2,5,1,6,4,3,8,7]=>[7,8,3,4,6,1,5,2]
[3,6,2,8,5,7,1,4]=>[4,1,7,5,8,2,6,3]
[4,6,8,1,5,7,2,3]=>[3,2,7,5,1,8,6,4]
[4,1,2,5,7,6,3,8]=>[8,3,6,7,5,2,1,4]
[4,6,5,8,1,7,3,2]=>[2,3,7,1,8,5,6,4]
[2,1,3,6,4,8,7,5]=>[5,7,8,4,6,3,1,2]
[4,8,1,2,7,5,6,3]=>[3,6,5,7,2,1,8,4]
[5,7,2,4,6,3,8,1]=>[1,8,3,6,4,2,7,5]
[8,6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6,8]
[6,4,5,2,7,8,3,1]=>[1,3,8,7,2,5,4,6]
[7,4,1,5,2,8,3,6]=>[6,3,8,2,5,1,4,7]
[1,6,4,3,8,7,5,2]=>[2,5,7,8,3,4,6,1]
[8,7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7,8]
[4,2,3,8,1,5,7,6]=>[6,7,5,1,8,3,2,4]
[8,1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1,8]
[7,4,2,6,5,3,8,1]=>[1,8,3,5,6,2,4,7]
[8,1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1,8]
[7,3,2,6,5,8,4,1]=>[1,4,8,5,6,2,3,7]
[2,4,7,3,5,8,1,6]=>[6,1,8,5,3,7,4,2]
[4,5,1,6,8,7,2,3]=>[3,2,7,8,6,1,5,4]
[3,4,7,2,5,8,6,1]=>[1,6,8,5,2,7,4,3]
[3,2,7,4,5,1,6,8]=>[8,6,1,5,4,7,2,3]
[6,8,3,5,2,4,7,1]=>[1,7,4,2,5,3,8,6]
[7,2,5,3,1,4,6,8]=>[8,6,4,1,3,5,2,7]
[4,2,7,3,5,6,1,8]=>[8,1,6,5,3,7,2,4]
[3,8,7,6,1,5,2,4]=>[4,2,5,1,6,7,8,3]
[3,1,5,8,2,4,7,6]=>[6,7,4,2,8,5,1,3]
[1,3,8,6,4,5,7,2]=>[2,7,5,4,6,8,3,1]
[2,5,1,8,6,4,7,3]=>[3,7,4,6,8,1,5,2]
[3,1,2,8,5,4,6,7]=>[7,6,4,5,8,2,1,3]
[2,5,8,7,3,1,4,6]=>[6,4,1,3,7,8,5,2]
[7,2,5,3,8,1,6,4]=>[4,6,1,8,3,5,2,7]
[5,2,1,6,4,8,7,3]=>[3,7,8,4,6,1,2,5]
[8,4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4,8]
[2,7,4,8,5,1,6,3]=>[3,6,1,5,8,4,7,2]
[6,4,1,7,5,3,8,2]=>[2,8,3,5,7,1,4,6]
[5,1,3,7,4,6,8,2]=>[2,8,6,4,7,3,1,5]
[7,1,2,6,4,8,5,3]=>[3,5,8,4,6,2,1,7]
[3,8,7,2,6,1,4,5]=>[5,4,1,6,2,7,8,3]
[8,1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1,8]
[3,8,4,2,1,7,5,6]=>[6,5,7,1,2,4,8,3]
[4,2,5,1,7,8,6,3]=>[3,6,8,7,1,5,2,4]
[8,4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4,8]
[4,1,6,3,8,2,5,7]=>[7,5,2,8,3,6,1,4]
[5,2,8,7,4,1,3,6]=>[6,3,1,4,7,8,2,5]
[2,5,1,8,3,6,4,7]=>[7,4,6,3,8,1,5,2]
[5,3,8,1,6,2,7,4]=>[4,7,2,6,1,8,3,5]
[5,2,8,7,1,3,6,4]=>[4,6,3,1,7,8,2,5]
[4,1,5,8,2,3,7,6]=>[6,7,3,2,8,5,1,4]
[4,8,1,2,6,3,5,7]=>[7,5,3,6,2,1,8,4]
[8,2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2,8]
[7,6,1,8,3,4,5,2]=>[2,5,4,3,8,1,6,7]
[5,8,4,7,3,2,1,6]=>[6,1,2,3,7,4,8,5]
[8,5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5,8]
[5,6,8,4,2,7,1,3]=>[3,1,7,2,4,8,6,5]
[4,3,8,6,1,2,5,7]=>[7,5,2,1,6,8,3,4]
[4,8,6,5,7,1,3,2]=>[2,3,1,7,5,6,8,4]
[7,2,3,5,6,8,4,1]=>[1,4,8,6,5,3,2,7]
[5,8,1,3,4,7,2,6]=>[6,2,7,4,3,1,8,5]
[4,7,1,8,6,3,2,5]=>[5,2,3,6,8,1,7,4]
[8,2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2,8]
[7,2,3,5,6,1,8,4]=>[4,8,1,6,5,3,2,7]
[7,3,4,1,5,6,8,2]=>[2,8,6,5,1,4,3,7]
[8,3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3,8]
[8,7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7,8]
[8,4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4,8]
[7,2,4,5,3,1,6,8]=>[8,6,1,3,5,4,2,7]
[7,4,2,6,3,5,8,1]=>[1,8,5,3,6,2,4,7]
[7,2,4,3,6,8,1,5]=>[5,1,8,6,3,4,2,7]
[4,6,2,8,5,3,1,7]=>[7,1,3,5,8,2,6,4]
[6,4,5,8,2,7,1,3]=>[3,1,7,2,8,5,4,6]
[6,5,3,2,1,7,4,8]=>[8,4,7,1,2,3,5,6]
[7,6,3,1,4,5,8,2]=>[2,8,5,4,1,3,6,7]
[7,2,4,1,5,6,8,3]=>[3,8,6,5,1,4,2,7]
[1,6,7,3,4,8,2,5]=>[5,2,8,4,3,7,6,1]
[4,1,3,8,5,7,2,6]=>[6,2,7,5,8,3,1,4]
[3,7,4,6,2,1,8,5]=>[5,8,1,2,6,4,7,3]
[3,7,8,1,2,5,4,6]=>[6,4,5,2,1,8,7,3]
[5,1,3,6,4,7,8,2]=>[2,8,7,4,6,3,1,5]
[5,4,1,7,8,6,2,3]=>[3,2,6,8,7,1,4,5]
[5,3,4,7,8,1,6,2]=>[2,6,1,8,7,4,3,5]
[4,3,7,6,5,1,8,2]=>[2,8,1,5,6,7,3,4]
[2,4,1,7,3,6,5,8]=>[8,5,6,3,7,1,4,2]
[7,6,1,5,3,8,2,4]=>[4,2,8,3,5,1,6,7]
[5,1,4,8,2,3,7,6]=>[6,7,3,2,8,4,1,5]
[2,7,4,1,3,5,6,8]=>[8,6,5,3,1,4,7,2]
[6,7,8,4,5,1,3,2]=>[2,3,1,5,4,8,7,6]
[3,8,5,6,7,1,4,2]=>[2,4,1,7,6,5,8,3]
[7,5,6,1,4,2,3,8]=>[8,3,2,4,1,6,5,7]
[7,1,4,2,3,8,5,6]=>[6,5,8,3,2,4,1,7]
[3,2,8,5,4,1,6,7]=>[7,6,1,4,5,8,2,3]
[7,2,1,6,5,4,8,3]=>[3,8,4,5,6,1,2,7]
[7,3,1,5,6,4,8,2]=>[2,8,4,6,5,1,3,7]
[2,5,7,6,3,8,1,4]=>[4,1,8,3,6,7,5,2]
[1,5,7,6,3,4,2,8]=>[8,2,4,3,6,7,5,1]
[3,5,1,8,6,2,7,4]=>[4,7,2,6,8,1,5,3]
[4,8,5,6,3,7,2,1]=>[1,2,7,3,6,5,8,4]
[3,8,5,7,2,1,4,6]=>[6,4,1,2,7,5,8,3]
[4,5,7,2,6,8,3,1]=>[1,3,8,6,2,7,5,4]
[4,2,5,3,6,8,1,7]=>[7,1,8,6,3,5,2,4]
[1,2,8,3,4,6,5,7]=>[7,5,6,4,3,8,2,1]
[8,1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1,8]
[5,7,1,2,6,3,4,8]=>[8,4,3,6,2,1,7,5]
[1,2,7,5,6,3,4,8]=>[8,4,3,6,5,7,2,1]
[5,1,4,7,2,3,6,8]=>[8,6,3,2,7,4,1,5]
[4,8,1,2,3,6,5,7]=>[7,5,6,3,2,1,8,4]
[6,2,3,8,7,1,4,5]=>[5,4,1,7,8,3,2,6]
[8,2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2,8]
[7,2,3,6,4,8,1,5]=>[5,1,8,4,6,3,2,7]
[4,5,1,3,2,6,8,7]=>[7,8,6,2,3,1,5,4]
[6,4,7,5,1,3,2,8]=>[8,2,3,1,5,7,4,6]
[5,3,1,6,2,7,8,4]=>[4,8,7,2,6,1,3,5]
[5,1,6,3,2,7,8,4]=>[4,8,7,2,3,6,1,5]
[5,2,1,6,4,7,3,8]=>[8,3,7,4,6,1,2,5]
[5,4,1,6,2,7,8,3]=>[3,8,7,2,6,1,4,5]
[6,7,2,5,4,1,3,8]=>[8,3,1,4,5,2,7,6]
[7,1,4,2,5,8,3,6]=>[6,3,8,5,2,4,1,7]
[2,4,5,7,6,1,3,8]=>[8,3,1,6,7,5,4,2]
[6,3,5,7,4,1,8,2]=>[2,8,1,4,7,5,3,6]
[7,5,2,3,8,1,4,6]=>[6,4,1,8,3,2,5,7]
[5,1,3,6,7,8,4,2]=>[2,4,8,7,6,3,1,5]
[7,1,3,5,4,2,8,6]=>[6,8,2,4,5,3,1,7]
[7,4,5,2,1,8,3,6]=>[6,3,8,1,2,5,4,7]
[6,7,2,3,8,1,5,4]=>[4,5,1,8,3,2,7,6]
[7,6,8,2,4,5,3,1]=>[1,3,5,4,2,8,6,7]
[4,2,8,6,5,1,3,7]=>[7,3,1,5,6,8,2,4]
[3,8,5,4,7,1,2,6]=>[6,2,1,7,4,5,8,3]
[1,4,8,3,6,2,7,5]=>[5,7,2,6,3,8,4,1]
[6,3,2,4,8,7,1,5]=>[5,1,7,8,4,2,3,6]
[8,3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3,8]
[7,3,2,6,5,8,1,4]=>[4,1,8,5,6,2,3,7]
[3,6,2,5,7,4,8,1]=>[1,8,4,7,5,2,6,3]
[2,7,1,5,8,6,4,3]=>[3,4,6,8,5,1,7,2]
[7,2,4,1,6,8,5,3]=>[3,5,8,6,1,4,2,7]
[6,4,7,2,3,8,5,1]=>[1,5,8,3,2,7,4,6]
[6,1,8,5,7,4,2,3]=>[3,2,4,7,5,8,1,6]
[7,1,4,3,6,5,8,2]=>[2,8,5,6,3,4,1,7]
[7,1,5,6,3,4,8,2]=>[2,8,4,3,6,5,1,7]
[6,1,8,5,4,7,3,2]=>[2,3,7,4,5,8,1,6]
[7,6,1,5,4,2,8,3]=>[3,8,2,4,5,1,6,7]
[5,1,6,8,7,2,4,3]=>[3,4,2,7,8,6,1,5]
[4,6,7,5,3,1,8,2]=>[2,8,1,3,5,7,6,4]
[5,3,2,6,8,7,4,1]=>[1,4,7,8,6,2,3,5]
[5,4,6,2,8,7,3,1]=>[1,3,7,8,2,6,4,5]
[4,5,8,6,7,2,3,1]=>[1,3,2,7,6,8,5,4]
[4,5,7,6,1,2,8,3]=>[3,8,2,1,6,7,5,4]
[4,6,5,7,2,1,8,3]=>[3,8,1,2,7,5,6,4]
[4,6,1,3,2,5,7,8]=>[8,7,5,2,3,1,6,4]
[1,2,4,8,5,6,3,7]=>[7,3,6,5,8,4,2,1]
[1,8,3,4,2,6,5,7]=>[7,5,6,2,4,3,8,1]
[5,2,8,6,3,4,1,7]=>[7,1,4,3,6,8,2,5]
[5,2,4,6,7,1,8,3]=>[3,8,1,7,6,4,2,5]
[7,4,8,6,3,5,1,2]=>[2,1,5,3,6,8,4,7]
[8,3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3,8]
[8,4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4,8]
[7,1,5,4,2,3,8,6]=>[6,8,3,2,4,5,1,7]
[7,2,4,3,6,1,8,5]=>[5,8,1,6,3,4,2,7]
[6,2,4,8,5,7,3,1]=>[1,3,7,5,8,4,2,6]
[6,2,4,7,3,1,8,5]=>[5,8,1,3,7,4,2,6]
[6,1,8,4,2,5,7,3]=>[3,7,5,2,4,8,1,6]
[6,2,8,1,4,5,7,3]=>[3,7,5,4,1,8,2,6]
[6,4,8,1,5,2,7,3]=>[3,7,2,5,1,8,4,6]
[2,3,4,7,8,6,1,5]=>[5,1,6,8,7,4,3,2]
[3,4,8,7,5,1,2,6]=>[6,2,1,5,7,8,4,3]
[3,7,6,8,4,1,2,5]=>[5,2,1,4,8,6,7,3]
[5,8,6,4,2,7,3,1]=>[1,3,7,2,4,6,8,5]
[5,8,3,2,6,7,4,1]=>[1,4,7,6,2,3,8,5]
[6,3,7,1,4,2,8,5]=>[5,8,2,4,1,7,3,6]
[7,1,2,6,8,4,5,3]=>[3,5,4,8,6,2,1,7]
[8,5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5,8]
[3,7,5,1,8,4,2,6]=>[6,2,4,8,1,5,7,3]
[8,2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2,8]
[4,8,1,6,7,2,3,5]=>[5,3,2,7,6,1,8,4]
[4,7,2,1,5,8,3,6]=>[6,3,8,5,1,2,7,4]
[3,8,1,4,5,7,6,2]=>[2,6,7,5,4,1,8,3]
[5,7,2,1,3,4,8,6]=>[6,8,4,3,1,2,7,5]
[5,6,2,3,1,4,8,7]=>[7,8,4,1,3,2,6,5]
[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]
[4,6,3,5,1,8,2,7]=>[7,2,8,1,5,3,6,4]
[5,3,4,6,1,2,8,7]=>[7,8,2,1,6,4,3,5]
[8,7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7,8]
[8,5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5,8]
[7,8,5,2,6,1,4,3]=>[3,4,1,6,2,5,8,7]
[3,5,1,4,8,7,6,2]=>[2,6,7,8,4,1,5,3]
[7,4,1,8,3,6,5,2]=>[2,5,6,3,8,1,4,7]
[6,5,3,7,4,8,1,2]=>[2,1,8,4,7,3,5,6]
[8,7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7,8]
[2,7,4,6,8,1,5,3]=>[3,5,1,8,6,4,7,2]
[8,2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2,8]
[1,8,4,6,5,2,7,3]=>[3,7,2,5,6,4,8,1]
[3,4,6,7,8,2,5,1]=>[1,5,2,8,7,6,4,3]
[2,5,6,7,3,8,1,4]=>[4,1,8,3,7,6,5,2]
[1,7,5,4,6,8,3,2]=>[2,3,8,6,4,5,7,1]
[5,2,3,7,8,6,1,4]=>[4,1,6,8,7,3,2,5]
[7,2,6,4,8,5,3,1]=>[1,3,5,8,4,6,2,7]
[2,8,3,4,7,1,6,5]=>[5,6,1,7,4,3,8,2]
[1,2,8,5,7,6,3,4]=>[4,3,6,7,5,8,2,1]
[6,8,2,3,7,4,5,1]=>[1,5,4,7,3,2,8,6]
[5,7,1,4,3,6,8,2]=>[2,8,6,3,4,1,7,5]
[5,8,4,6,2,1,7,3]=>[3,7,1,2,6,4,8,5]
[3,8,2,6,7,4,1,5]=>[5,1,4,7,6,2,8,3]
[1,6,8,3,4,7,2,5]=>[5,2,7,4,3,8,6,1]
[2,4,7,5,8,6,3,1]=>[1,3,6,8,5,7,4,2]
[5,7,4,6,2,3,8,1]=>[1,8,3,2,6,4,7,5]
[2,6,8,3,4,1,7,5]=>[5,7,1,4,3,8,6,2]
[1,6,8,3,4,2,7,5]=>[5,7,2,4,3,8,6,1]
[1,5,8,4,2,3,7,6]=>[6,7,3,2,4,8,5,1]
[4,1,7,6,2,8,3,5]=>[5,3,8,2,6,7,1,4]
[4,1,8,2,7,5,3,6]=>[6,3,5,7,2,8,1,4]
[4,1,7,2,8,5,3,6]=>[6,3,5,8,2,7,1,4]
[2,5,6,3,7,4,8,1]=>[1,8,4,7,3,6,5,2]
[2,6,5,3,8,4,7,1]=>[1,7,4,8,3,5,6,2]
[2,6,5,3,7,4,8,1]=>[1,8,4,7,3,5,6,2]
[7,1,6,3,5,4,8,2]=>[2,8,4,5,3,6,1,7]
[5,7,3,2,8,4,1,6]=>[6,1,4,8,2,3,7,5]
[2,8,6,1,7,5,3,4]=>[4,3,5,7,1,6,8,2]
[8,1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1,8]
[7,1,4,2,8,5,3,6]=>[6,3,5,8,2,4,1,7]
[2,6,8,1,7,5,3,4]=>[4,3,5,7,1,8,6,2]
[1,4,6,5,3,8,2,7]=>[7,2,8,3,5,6,4,1]
[2,4,5,8,7,1,3,6]=>[6,3,1,7,8,5,4,2]
[3,1,6,8,7,5,4,2]=>[2,4,5,7,8,6,1,3]
[3,1,8,7,5,6,4,2]=>[2,4,6,5,7,8,1,3]
[5,1,8,7,6,3,4,2]=>[2,4,3,6,7,8,1,5]
[8,2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2,8]
[8,7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7,8]
[2,8,5,7,6,1,3,4]=>[4,3,1,6,7,5,8,2]
[1,8,7,2,6,4,5,3]=>[3,5,4,6,2,7,8,1]
[8,7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7,8]
[1,8,4,7,6,2,5,3]=>[3,5,2,6,7,4,8,1]
[8,7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7,8]
[8,4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4,8]
[5,4,3,1,8,2,6,7]=>[7,6,2,8,1,3,4,5]
[1,3,5,8,4,2,6,7]=>[7,6,2,4,8,5,3,1]
[4,3,8,1,7,5,2,6]=>[6,2,5,7,1,8,3,4]
[3,7,8,2,1,5,6,4]=>[4,6,5,1,2,8,7,3]
[3,7,1,4,6,2,5,8]=>[8,5,2,6,4,1,7,3]
[8,2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2,8]
[8,3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3,8]
[1,6,8,2,7,4,3,5]=>[5,3,4,7,2,8,6,1]
[4,7,2,3,6,8,5,1]=>[1,5,8,6,3,2,7,4]
[4,5,2,3,7,8,6,1]=>[1,6,8,7,3,2,5,4]
[4,3,8,6,1,7,5,2]=>[2,5,7,1,6,8,3,4]
[8,5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5,8]
[6,3,8,1,4,5,7,2]=>[2,7,5,4,1,8,3,6]
[6,4,1,7,3,5,2,8]=>[8,2,5,3,7,1,4,6]
[6,4,1,7,3,5,8,2]=>[2,8,5,3,7,1,4,6]
[4,3,8,5,2,7,6,1]=>[1,6,7,2,5,8,3,4]
[2,4,6,7,3,5,1,8]=>[8,1,5,3,7,6,4,2]
[6,5,2,3,4,8,7,1]=>[1,7,8,4,3,2,5,6]
[1,7,3,6,8,2,5,4]=>[4,5,2,8,6,3,7,1]
[4,3,7,6,2,5,8,1]=>[1,8,5,2,6,7,3,4]
[3,4,5,8,7,2,6,1]=>[1,6,2,7,8,5,4,3]
[4,5,1,8,7,3,6,2]=>[2,6,3,7,8,1,5,4]
[6,4,2,5,7,8,1,3]=>[3,1,8,7,5,2,4,6]
[3,8,4,6,2,7,5,1]=>[1,5,7,2,6,4,8,3]
[3,8,5,2,6,7,4,1]=>[1,4,7,6,2,5,8,3]
[5,4,1,6,7,3,8,2]=>[2,8,3,7,6,1,4,5]
[2,6,5,8,3,4,7,1]=>[1,7,4,3,8,5,6,2]
[4,3,8,5,2,6,1,7]=>[7,1,6,2,5,8,3,4]
[3,6,5,4,1,8,2,7]=>[7,2,8,1,4,5,6,3]
[3,6,4,7,5,2,1,8]=>[8,1,2,5,7,4,6,3]
[8,5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5,8]
[2,8,4,5,3,1,7,6]=>[6,7,1,3,5,4,8,2]
[7,2,5,3,4,1,8,6]=>[6,8,1,4,3,5,2,7]
[2,6,5,4,1,8,7,3]=>[3,7,8,1,4,5,6,2]
[2,6,5,4,1,7,3,8]=>[8,3,7,1,4,5,6,2]
[5,6,4,1,2,8,7,3]=>[3,7,8,2,1,4,6,5]
[7,6,4,1,5,8,3,2]=>[2,3,8,5,1,4,6,7]
[5,7,4,1,2,6,8,3]=>[3,8,6,2,1,4,7,5]
[6,7,4,1,5,2,3,8]=>[8,3,2,5,1,4,7,6]
[2,8,6,7,5,3,1,4]=>[4,1,3,5,7,6,8,2]
[7,4,5,2,6,3,1,8]=>[8,1,3,6,2,5,4,7]
[8,6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6,8]
[8,6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6,8]
[8,7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7,8]
[8,6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6,8]
[8,4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4,8]
[8,7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7,8]
[4,8,3,2,6,1,7,5]=>[5,7,1,6,2,3,8,4]
[4,3,7,6,1,5,2,8]=>[8,2,5,1,6,7,3,4]
[7,5,4,3,6,1,8,2]=>[2,8,1,6,3,4,5,7]
[4,6,8,5,3,1,2,7]=>[7,2,1,3,5,8,6,4]
[5,6,8,4,3,7,2,1]=>[1,2,7,3,4,8,6,5]
[7,5,8,4,2,1,6,3]=>[3,6,1,2,4,8,5,7]
[1,4,8,7,6,2,5,3]=>[3,5,2,6,7,8,4,1]
[7,2,4,1,5,3,8,6]=>[6,8,3,5,1,4,2,7]
[8,5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5,8]
[2,8,5,4,3,6,1,7]=>[7,1,6,3,4,5,8,2]
[8,6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6,8]
[7,4,6,5,3,2,8,1]=>[1,8,2,3,5,6,4,7]
[5,6,7,2,3,8,4,1]=>[1,4,8,3,2,7,6,5]
[8,4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4,8]
[1,7,4,2,8,5,6,3]=>[3,6,5,8,2,4,7,1]
[3,2,1,7,4,6,8,5]=>[5,8,6,4,7,1,2,3]
[6,2,5,7,1,4,3,8]=>[8,3,4,1,7,5,2,6]
[4,8,5,3,1,2,6,7]=>[7,6,2,1,3,5,8,4]
[8,5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5,8]
[1,5,3,4,7,2,6,8]=>[8,6,2,7,4,3,5,1]
[8,4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4,8]
[6,4,7,2,1,3,8,5]=>[5,8,3,1,2,7,4,6]
[6,7,3,1,2,4,8,5]=>[5,8,4,2,1,3,7,6]
[3,1,8,7,6,2,5,4]=>[4,5,2,6,7,8,1,3]
[1,3,8,6,7,2,5,4]=>[4,5,2,7,6,8,3,1]
[5,2,3,6,1,8,4,7]=>[7,4,8,1,6,3,2,5]
[3,2,6,4,7,1,5,8]=>[8,5,1,7,4,6,2,3]
[3,6,2,5,7,8,4,1]=>[1,4,8,7,5,2,6,3]
[2,7,4,6,8,3,5,1]=>[1,5,3,8,6,4,7,2]
[3,7,6,8,1,5,4,2]=>[2,4,5,1,8,6,7,3]
[1,5,7,6,8,4,2,3]=>[3,2,4,8,6,7,5,1]
[2,7,4,6,8,5,3,1]=>[1,3,5,8,6,4,7,2]
[3,7,6,8,5,1,4,2]=>[2,4,1,5,8,6,7,3]
[7,1,3,8,6,2,4,5]=>[5,4,2,6,8,3,1,7]
[2,7,1,8,6,5,3,4]=>[4,3,5,6,8,1,7,2]
[6,2,3,4,1,5,8,7]=>[7,8,5,1,4,3,2,6]
[8,1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1,8]
[8,1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1,8]
[4,1,7,2,5,3,6,8]=>[8,6,3,5,2,7,1,4]
[5,3,4,1,8,6,2,7]=>[7,2,6,8,1,4,3,5]
[1,7,3,6,2,4,8,5]=>[5,8,4,2,6,3,7,1]
[4,6,7,5,1,2,3,8]=>[8,3,2,1,5,7,6,4]
[4,3,8,5,2,1,7,6]=>[6,7,1,2,5,8,3,4]
[5,3,4,7,6,2,1,8]=>[8,1,2,6,7,4,3,5]
[6,3,4,7,5,1,2,8]=>[8,2,1,5,7,4,3,6]
[5,3,4,6,1,7,2,8]=>[8,2,7,1,6,4,3,5]
[6,3,4,8,2,1,7,5]=>[5,7,1,2,8,4,3,6]
[5,2,4,6,3,1,7,8]=>[8,7,1,3,6,4,2,5]
[7,2,5,6,8,1,4,3]=>[3,4,1,8,6,5,2,7]
[3,1,5,8,4,7,2,6]=>[6,2,7,4,8,5,1,3]
[8,2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2,8]
[8,7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7,8]
[8,2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2,8]
[8,2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2,8]
[4,1,8,5,7,2,6,3]=>[3,6,2,7,5,8,1,4]
[4,1,8,2,7,5,6,3]=>[3,6,5,7,2,8,1,4]
[7,6,8,2,4,3,5,1]=>[1,5,3,4,2,8,6,7]
[7,4,5,3,8,1,6,2]=>[2,6,1,8,3,5,4,7]
[7,3,6,1,4,2,8,5]=>[5,8,2,4,1,6,3,7]
[6,4,2,3,8,7,1,5]=>[5,1,7,8,3,2,4,6]
[1,3,8,6,5,7,2,4]=>[4,2,7,5,6,8,3,1]
[5,1,7,2,4,8,6,3]=>[3,6,8,4,2,7,1,5]
[7,3,8,2,4,6,5,1]=>[1,5,6,4,2,8,3,7]
[5,1,3,7,8,4,6,2]=>[2,6,4,8,7,3,1,5]
[6,5,8,4,1,3,2,7]=>[7,2,3,1,4,8,5,6]
[4,8,2,3,6,5,1,7]=>[7,1,5,6,3,2,8,4]
[4,2,5,8,1,6,3,7]=>[7,3,6,1,8,5,2,4]
[8,7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7,8]
[5,4,8,2,3,1,6,7]=>[7,6,1,3,2,8,4,5]
[2,6,4,8,3,5,1,7]=>[7,1,5,3,8,4,6,2]
[1,4,8,5,3,2,7,6]=>[6,7,2,3,5,8,4,1]
[3,5,8,4,6,7,1,2]=>[2,1,7,6,4,8,5,3]
[1,2,4,8,5,7,3,6]=>[6,3,7,5,8,4,2,1]
[7,3,4,1,8,2,5,6]=>[6,5,2,8,1,4,3,7]
[5,6,3,1,8,2,4,7]=>[7,4,2,8,1,3,6,5]
[7,3,6,5,1,8,4,2]=>[2,4,8,1,5,6,3,7]
[5,7,2,1,4,8,6,3]=>[3,6,8,4,1,2,7,5]
[7,6,3,5,2,1,8,4]=>[4,8,1,2,5,3,6,7]
[3,6,5,2,7,1,8,4]=>[4,8,1,7,2,5,6,3]
[3,5,7,4,1,8,6,2]=>[2,6,8,1,4,7,5,3]
[6,5,7,2,1,3,8,4]=>[4,8,3,1,2,7,5,6]
[5,1,2,7,6,4,8,3]=>[3,8,4,6,7,2,1,5]
[4,1,2,6,7,5,8,3]=>[3,8,5,7,6,2,1,4]
[4,3,2,6,8,7,1,5]=>[5,1,7,8,6,2,3,4]
[4,3,2,7,8,5,6,1]=>[1,6,5,8,7,2,3,4]
[7,5,6,4,1,8,3,2]=>[2,3,8,1,4,6,5,7]
[7,1,3,5,6,8,4,2]=>[2,4,8,6,5,3,1,7]
[7,1,3,5,6,8,2,4]=>[4,2,8,6,5,3,1,7]
[2,5,4,3,8,1,7,6]=>[6,7,1,8,3,4,5,2]
[3,1,2,8,4,6,5,7]=>[7,5,6,4,8,2,1,3]
[2,5,4,3,8,6,1,7]=>[7,1,6,8,3,4,5,2]
[6,2,8,1,7,4,3,5]=>[5,3,4,7,1,8,2,6]
[3,8,5,7,4,2,6,1]=>[1,6,2,4,7,5,8,3]
[5,4,8,3,1,2,7,6]=>[6,7,2,1,3,8,4,5]
[5,3,7,4,1,8,2,6]=>[6,2,8,1,4,7,3,5]
[5,1,7,4,6,3,8,2]=>[2,8,3,6,4,7,1,5]
[7,6,2,8,1,3,5,4]=>[4,5,3,1,8,2,6,7]
[7,1,4,6,8,5,3,2]=>[2,3,5,8,6,4,1,7]
[7,2,5,1,6,4,8,3]=>[3,8,4,6,1,5,2,7]
[2,7,1,5,6,4,8,3]=>[3,8,4,6,5,1,7,2]
[1,5,7,8,4,6,3,2]=>[2,3,6,4,8,7,5,1]
[1,4,8,5,7,6,3,2]=>[2,3,6,7,5,8,4,1]
[2,8,1,5,6,4,7,3]=>[3,7,4,6,5,1,8,2]
[3,7,2,8,1,5,6,4]=>[4,6,5,1,8,2,7,3]
[7,3,2,5,1,6,8,4]=>[4,8,6,1,5,2,3,7]
[8,7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7,8]
[7,3,2,8,1,4,6,5]=>[5,6,4,1,8,2,3,7]
[3,6,2,1,8,4,7,5]=>[5,7,4,8,1,2,6,3]
[3,5,1,7,6,4,8,2]=>[2,8,4,6,7,1,5,3]
[8,7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7,8]
[5,4,7,6,2,1,8,3]=>[3,8,1,2,6,7,4,5]
[3,5,2,8,7,1,6,4]=>[4,6,1,7,8,2,5,3]
[3,7,6,5,4,1,8,2]=>[2,8,1,4,5,6,7,3]
[4,6,5,3,1,8,7,2]=>[2,7,8,1,3,5,6,4]
[4,5,2,6,7,3,8,1]=>[1,8,3,7,6,2,5,4]
[8,6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6,8]
[8,6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6,8]
[4,7,1,8,5,3,2,6]=>[6,2,3,5,8,1,7,4]
[5,1,8,4,3,6,2,7]=>[7,2,6,3,4,8,1,5]
[8,6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6,8]
[8,6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6,8]
[8,6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6,8]
[6,7,5,1,8,3,2,4]=>[4,2,3,8,1,5,7,6]
[8,7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7,8]
[8,7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7,8]
[8,5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5,8]
[8,3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3,8]
[8,5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5,8]
[4,1,6,8,2,7,5,3]=>[3,5,7,2,8,6,1,4]
[5,4,1,3,8,7,6,2]=>[2,6,7,8,3,1,4,5]
[6,4,1,2,5,7,8,3]=>[3,8,7,5,2,1,4,6]
[6,1,5,4,2,7,3,8]=>[8,3,7,2,4,5,1,6]
[6,4,2,3,1,7,5,8]=>[8,5,7,1,3,2,4,6]
[3,4,6,1,8,2,7,5]=>[5,7,2,8,1,6,4,3]
[5,3,1,4,7,6,2,8]=>[8,2,6,7,4,1,3,5]
[6,4,5,2,7,1,3,8]=>[8,3,1,7,2,5,4,6]
[7,4,3,5,1,6,2,8]=>[8,2,6,1,5,3,4,7]
[7,5,3,6,2,1,4,8]=>[8,4,1,2,6,3,5,7]
[6,4,3,7,1,8,2,5]=>[5,2,8,1,7,3,4,6]
[3,1,2,7,6,4,5,8]=>[8,5,4,6,7,2,1,3]
[5,1,2,7,6,3,4,8]=>[8,4,3,6,7,2,1,5]
[5,6,1,7,2,4,3,8]=>[8,3,4,2,7,1,6,5]
[3,5,6,8,1,2,7,4]=>[4,7,2,1,8,6,5,3]
[2,6,5,7,1,3,4,8]=>[8,4,3,1,7,5,6,2]
[2,3,7,1,5,6,4,8]=>[8,4,6,5,1,7,3,2]
[2,6,5,3,4,1,7,8]=>[8,7,1,4,3,5,6,2]
[2,6,1,3,5,4,7,8]=>[8,7,4,5,3,1,6,2]
[4,6,1,5,2,8,7,3]=>[3,7,8,2,5,1,6,4]
[6,1,5,4,2,7,8,3]=>[3,8,7,2,4,5,1,6]
[4,6,1,5,2,7,8,3]=>[3,8,7,2,5,1,6,4]
[2,8,6,5,1,3,7,4]=>[4,7,3,1,5,6,8,2]
[5,1,8,6,2,7,4,3]=>[3,4,7,2,6,8,1,5]
[3,6,8,2,7,5,1,4]=>[4,1,5,7,2,8,6,3]
[5,6,4,1,7,2,8,3]=>[3,8,2,7,1,4,6,5]
[1,4,5,3,8,7,2,6]=>[6,2,7,8,3,5,4,1]
[1,4,5,3,6,8,2,7]=>[7,2,8,6,3,5,4,1]
[3,4,1,6,8,5,7,2]=>[2,7,5,8,6,1,4,3]
[3,8,6,1,5,7,4,2]=>[2,4,7,5,1,6,8,3]
[8,6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6,8]
[3,4,1,6,7,5,8,2]=>[2,8,5,7,6,1,4,3]
[3,5,8,2,1,6,4,7]=>[7,4,6,1,2,8,5,3]
[6,1,3,8,5,7,4,2]=>[2,4,7,5,8,3,1,6]
[8,1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1,8]
[3,4,1,5,8,7,6,2]=>[2,6,7,8,5,1,4,3]
[3,4,1,5,7,8,6,2]=>[2,6,8,7,5,1,4,3]
[3,4,1,5,8,6,7,2]=>[2,7,6,8,5,1,4,3]
[2,5,8,3,6,1,7,4]=>[4,7,1,6,3,8,5,2]
[5,1,6,2,4,7,3,8]=>[8,3,7,4,2,6,1,5]
[6,1,4,7,2,5,3,8]=>[8,3,5,2,7,4,1,6]
[2,5,7,3,6,1,4,8]=>[8,4,1,6,3,7,5,2]
[7,4,2,3,1,6,8,5]=>[5,8,6,1,3,2,4,7]
[3,7,4,5,1,8,2,6]=>[6,2,8,1,5,4,7,3]
[6,7,2,5,4,3,8,1]=>[1,8,3,4,5,2,7,6]
[2,3,5,6,8,4,1,7]=>[7,1,4,8,6,5,3,2]
[3,7,5,6,4,1,2,8]=>[8,2,1,4,6,5,7,3]
[6,7,1,5,3,4,2,8]=>[8,2,4,3,5,1,7,6]
[5,4,2,3,7,1,6,8]=>[8,6,1,7,3,2,4,5]
[6,4,3,7,1,8,5,2]=>[2,5,8,1,7,3,4,6]
[7,3,1,6,2,4,5,8]=>[8,5,4,2,6,1,3,7]
[6,4,2,3,7,8,1,5]=>[5,1,8,7,3,2,4,6]
[4,3,6,2,5,8,1,7]=>[7,1,8,5,2,6,3,4]
[1,6,7,2,8,5,3,4]=>[4,3,5,8,2,7,6,1]
[1,6,4,5,7,3,2,8]=>[8,2,3,7,5,4,6,1]
[1,6,4,5,7,2,8,3]=>[3,8,2,7,5,4,6,1]
[1,7,5,6,4,8,3,2]=>[2,3,8,4,6,5,7,1]
[1,5,6,7,3,2,4,8]=>[8,4,2,3,7,6,5,1]
[3,1,5,4,2,7,8,6]=>[6,8,7,2,4,5,1,3]
[4,3,5,7,8,1,2,6]=>[6,2,1,8,7,5,3,4]
[6,3,5,4,1,7,2,8]=>[8,2,7,1,4,5,3,6]
[5,4,7,2,6,3,1,8]=>[8,1,3,6,2,7,4,5]
[5,4,1,6,8,3,2,7]=>[7,2,3,8,6,1,4,5]
[5,4,1,3,7,6,2,8]=>[8,2,6,7,3,1,4,5]
[5,4,7,6,1,3,2,8]=>[8,2,3,1,6,7,4,5]
[7,4,6,5,8,3,1,2]=>[2,1,3,8,5,6,4,7]
[8,2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2,8]
[1,4,6,5,8,3,2,7]=>[7,2,3,8,5,6,4,1]
[4,3,1,6,8,5,2,7]=>[7,2,5,8,6,1,3,4]
[4,3,1,5,7,6,2,8]=>[8,2,6,7,5,1,3,4]
[5,2,4,3,8,7,1,6]=>[6,1,7,8,3,4,2,5]
[3,2,8,4,1,7,5,6]=>[6,5,7,1,4,8,2,3]
[8,2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2,8]
[8,2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2,8]
[7,6,8,2,1,5,3,4]=>[4,3,5,1,2,8,6,7]
[5,4,6,7,2,1,8,3]=>[3,8,1,2,7,6,4,5]
[6,7,2,5,4,1,8,3]=>[3,8,1,4,5,2,7,6]
[3,1,8,4,7,5,6,2]=>[2,6,5,7,4,8,1,3]
[8,6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6,8]
[3,8,2,4,1,6,5,7]=>[7,5,6,1,4,2,8,3]
[2,4,3,5,8,6,1,7]=>[7,1,6,8,5,3,4,2]
[8,4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4,8]
[7,1,6,8,3,2,4,5]=>[5,4,2,3,8,6,1,7]
[7,8,3,6,1,2,5,4]=>[4,5,2,1,6,3,8,7]
[7,2,8,6,1,3,5,4]=>[4,5,3,1,6,8,2,7]
[5,7,2,6,4,1,8,3]=>[3,8,1,4,6,2,7,5]
[8,1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1,8]
[7,4,3,1,6,8,2,5]=>[5,2,8,6,1,3,4,7]
[4,5,6,1,3,8,2,7]=>[7,2,8,3,1,6,5,4]
[6,3,5,7,4,2,8,1]=>[1,8,2,4,7,5,3,6]
[7,6,4,8,5,3,1,2]=>[2,1,3,5,8,4,6,7]
[8,2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2,8]
[1,3,8,6,5,2,7,4]=>[4,7,2,5,6,8,3,1]
[2,7,3,8,5,6,4,1]=>[1,4,6,5,8,3,7,2]
[1,2,8,5,7,4,6,3]=>[3,6,4,7,5,8,2,1]
[1,6,8,5,4,7,2,3]=>[3,2,7,4,5,8,6,1]
[3,8,4,5,6,7,1,2]=>[2,1,7,6,5,4,8,3]
[2,1,3,7,4,6,8,5]=>[5,8,6,4,7,3,1,2]
[5,7,1,8,3,2,6,4]=>[4,6,2,3,8,1,7,5]
[7,2,4,1,8,6,5,3]=>[3,5,6,8,1,4,2,7]
[7,2,3,5,1,6,4,8]=>[8,4,6,1,5,3,2,7]
[2,1,3,8,6,4,7,5]=>[5,7,4,6,8,3,1,2]
[7,4,8,1,3,2,5,6]=>[6,5,2,3,1,8,4,7]
[4,7,6,1,3,2,5,8]=>[8,5,2,3,1,6,7,4]
[8,2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2,8]
[5,8,4,3,7,6,2,1]=>[1,2,6,7,3,4,8,5]
[8,1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1,8]
[6,1,8,7,4,5,3,2]=>[2,3,5,4,7,8,1,6]
[1,5,8,6,4,3,7,2]=>[2,7,3,4,6,8,5,1]
[5,8,6,4,2,1,7,3]=>[3,7,1,2,4,6,8,5]
[2,6,1,8,4,7,5,3]=>[3,5,7,4,8,1,6,2]
[5,3,8,6,1,2,7,4]=>[4,7,2,1,6,8,3,5]
[5,8,1,4,6,2,7,3]=>[3,7,2,6,4,1,8,5]
[3,7,6,2,1,4,8,5]=>[5,8,4,1,2,6,7,3]
[3,6,7,4,2,1,8,5]=>[5,8,1,2,4,7,6,3]
[4,8,5,6,3,7,1,2]=>[2,1,7,3,6,5,8,4]
[4,8,3,6,5,7,2,1]=>[1,2,7,5,6,3,8,4]
[4,6,2,3,7,1,8,5]=>[5,8,1,7,3,2,6,4]
[6,8,7,5,1,3,4,2]=>[2,4,3,1,5,7,8,6]
[6,4,3,2,7,8,5,1]=>[1,5,8,7,2,3,4,6]
[2,7,6,1,5,3,8,4]=>[4,8,3,5,1,6,7,2]
[7,8,6,4,2,5,3,1]=>[1,3,5,2,4,6,8,7]
[6,4,5,8,7,1,3,2]=>[2,3,1,7,8,5,4,6]
[6,4,1,7,8,3,2,5]=>[5,2,3,8,7,1,4,6]
[7,5,6,3,2,1,8,4]=>[4,8,1,2,3,6,5,7]
[7,5,6,2,3,1,8,4]=>[4,8,1,3,2,6,5,7]
[1,7,4,6,2,5,8,3]=>[3,8,5,2,6,4,7,1]
[7,5,2,3,6,1,8,4]=>[4,8,1,6,3,2,5,7]
[7,5,3,6,2,1,8,4]=>[4,8,1,2,6,3,5,7]
[6,5,7,1,4,2,8,3]=>[3,8,2,4,1,7,5,6]
[3,8,2,5,7,6,1,4]=>[4,1,6,7,5,2,8,3]
[3,8,1,2,7,5,6,4]=>[4,6,5,7,2,1,8,3]
[7,5,2,6,1,3,8,4]=>[4,8,3,1,6,2,5,7]
[7,6,3,2,1,4,8,5]=>[5,8,4,1,2,3,6,7]
[7,5,2,1,6,3,8,4]=>[4,8,3,6,1,2,5,7]
[6,2,8,5,3,7,4,1]=>[1,4,7,3,5,8,2,6]
[6,1,3,2,5,8,4,7]=>[7,4,8,5,2,3,1,6]
[7,1,5,4,2,6,8,3]=>[3,8,6,2,4,5,1,7]
[6,2,8,4,3,5,7,1]=>[1,7,5,3,4,8,2,6]
[4,2,7,3,6,1,5,8]=>[8,5,1,6,3,7,2,4]
[6,2,8,5,3,7,1,4]=>[4,1,7,3,5,8,2,6]
[4,3,2,8,7,5,1,6]=>[6,1,5,7,8,2,3,4]
[6,4,2,1,5,7,8,3]=>[3,8,7,5,1,2,4,6]
[6,3,2,8,4,7,5,1]=>[1,5,7,4,8,2,3,6]
[6,4,3,8,7,2,5,1]=>[1,5,2,7,8,3,4,6]
[5,4,7,2,1,3,8,6]=>[6,8,3,1,2,7,4,5]
[6,5,3,2,7,8,4,1]=>[1,4,8,7,2,3,5,6]
[2,6,4,5,7,1,8,3]=>[3,8,1,7,5,4,6,2]
[3,7,4,6,1,5,8,2]=>[2,8,5,1,6,4,7,3]
[3,4,6,5,2,8,1,7]=>[7,1,8,2,5,6,4,3]
[4,6,7,5,8,2,1,3]=>[3,1,2,8,5,7,6,4]
[5,6,3,1,4,7,2,8]=>[8,2,7,4,1,3,6,5]
[2,7,8,3,5,6,4,1]=>[1,4,6,5,3,8,7,2]
[2,3,5,8,4,7,6,1]=>[1,6,7,4,8,5,3,2]
[8,2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2,8]
[5,6,3,1,8,4,2,7]=>[7,2,4,8,1,3,6,5]
[7,3,2,8,4,5,6,1]=>[1,6,5,4,8,2,3,7]
[7,4,1,8,3,6,2,5]=>[5,2,6,3,8,1,4,7]
[7,1,6,4,3,8,2,5]=>[5,2,8,3,4,6,1,7]
[6,7,2,1,4,8,3,5]=>[5,3,8,4,1,2,7,6]
[2,5,7,6,4,1,8,3]=>[3,8,1,4,6,7,5,2]
[8,6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6,8]
[5,1,4,6,2,7,8,3]=>[3,8,7,2,6,4,1,5]
[1,2,5,3,7,8,6,4]=>[4,6,8,7,3,5,2,1]
[4,8,3,5,1,2,7,6]=>[6,7,2,1,5,3,8,4]
[6,1,3,7,2,8,4,5]=>[5,4,8,2,7,3,1,6]
[3,8,5,4,1,7,2,6]=>[6,2,7,1,4,5,8,3]
[3,1,5,8,2,6,7,4]=>[4,7,6,2,8,5,1,3]
[2,8,5,3,1,7,4,6]=>[6,4,7,1,3,5,8,2]
[6,5,2,3,7,1,8,4]=>[4,8,1,7,3,2,5,6]
[7,2,1,6,4,8,3,5]=>[5,3,8,4,6,1,2,7]
[2,1,3,7,5,8,4,6]=>[6,4,8,5,7,3,1,2]
[6,2,4,5,7,1,8,3]=>[3,8,1,7,5,4,2,6]
[2,3,8,7,1,4,6,5]=>[5,6,4,1,7,8,3,2]
[4,2,7,5,6,8,1,3]=>[3,1,8,6,5,7,2,4]
[1,4,7,6,5,2,3,8]=>[8,3,2,5,6,7,4,1]
[2,7,3,5,1,4,6,8]=>[8,6,4,1,5,3,7,2]
[2,7,8,3,5,1,4,6]=>[6,4,1,5,3,8,7,2]
[7,4,5,1,3,6,8,2]=>[2,8,6,3,1,5,4,7]
[8,2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2,8]
[2,4,1,3,7,6,5,8]=>[8,5,6,7,3,1,4,2]
[6,2,5,4,7,3,1,8]=>[8,1,3,7,4,5,2,6]
[2,6,7,4,1,3,5,8]=>[8,5,3,1,4,7,6,2]
[6,7,4,1,3,5,8,2]=>[2,8,5,3,1,4,7,6]
[7,2,8,3,5,6,4,1]=>[1,4,6,5,3,8,2,7]
[6,8,2,5,4,7,3,1]=>[1,3,7,4,5,2,8,6]
[5,6,8,1,4,7,3,2]=>[2,3,7,4,1,8,6,5]
[7,1,3,8,6,5,2,4]=>[4,2,5,6,8,3,1,7]
[6,3,4,1,8,2,5,7]=>[7,5,2,8,1,4,3,6]
[5,1,8,7,3,6,2,4]=>[4,2,6,3,7,8,1,5]
[2,7,6,3,8,4,5,1]=>[1,5,4,8,3,6,7,2]
[4,6,8,2,3,1,7,5]=>[5,7,1,3,2,8,6,4]
[4,7,2,3,5,1,8,6]=>[6,8,1,5,3,2,7,4]
[6,4,2,1,3,7,5,8]=>[8,5,7,3,1,2,4,6]
[5,3,2,7,6,1,8,4]=>[4,8,1,6,7,2,3,5]
[5,6,4,2,8,7,1,3]=>[3,1,7,8,2,4,6,5]
[5,7,4,2,6,1,8,3]=>[3,8,1,6,2,4,7,5]
[5,4,7,1,6,2,8,3]=>[3,8,2,6,1,7,4,5]
[4,5,8,7,6,2,1,3]=>[3,1,2,6,7,8,5,4]
[6,4,7,1,2,3,8,5]=>[5,8,3,2,1,7,4,6]
[5,7,1,8,2,4,3,6]=>[6,3,4,2,8,1,7,5]
[6,7,1,2,5,8,4,3]=>[3,4,8,5,2,1,7,6]
[8,1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1,8]
[4,8,6,3,7,2,5,1]=>[1,5,2,7,3,6,8,4]
[6,1,7,3,8,4,5,2]=>[2,5,4,8,3,7,1,6]
[8,2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2,8]
[1,8,7,2,3,4,6,5]=>[5,6,4,3,2,7,8,1]
[1,8,3,7,6,2,5,4]=>[4,5,2,6,7,3,8,1]
[1,3,8,2,5,6,4,7]=>[7,4,6,5,2,8,3,1]
[1,3,2,7,4,6,8,5]=>[5,8,6,4,7,2,3,1]
[1,3,8,4,6,2,7,5]=>[5,7,2,6,4,8,3,1]
[6,4,3,5,1,7,2,8]=>[8,2,7,1,5,3,4,6]
[6,3,1,5,4,7,2,8]=>[8,2,7,4,5,1,3,6]
[2,3,5,8,4,1,6,7]=>[7,6,1,4,8,5,3,2]
[2,5,8,4,3,6,7,1]=>[1,7,6,3,4,8,5,2]
[4,5,3,8,2,6,7,1]=>[1,7,6,2,8,3,5,4]
[5,8,4,6,7,2,3,1]=>[1,3,2,7,6,4,8,5]
[4,2,5,8,6,7,3,1]=>[1,3,7,6,8,5,2,4]
[8,2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2,8]
[5,8,4,6,2,7,3,1]=>[1,3,7,2,6,4,8,5]
[6,8,3,7,2,4,5,1]=>[1,5,4,2,7,3,8,6]
[6,1,3,8,5,4,2,7]=>[7,2,4,5,8,3,1,6]
[8,6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6,8]
[3,6,1,2,5,4,7,8]=>[8,7,4,5,2,1,6,3]
[5,6,4,2,1,7,3,8]=>[8,3,7,1,2,4,6,5]
[4,2,7,6,5,3,8,1]=>[1,8,3,5,6,7,2,4]
[3,2,7,6,5,1,8,4]=>[4,8,1,5,6,7,2,3]
[2,3,7,6,4,8,5,1]=>[1,5,8,4,6,7,3,2]
[2,5,7,6,3,8,4,1]=>[1,4,8,3,6,7,5,2]
[4,5,7,8,6,2,3,1]=>[1,3,2,6,8,7,5,4]
[6,4,7,1,2,5,3,8]=>[8,3,5,2,1,7,4,6]
[3,6,7,5,4,1,8,2]=>[2,8,1,4,5,7,6,3]
[8,4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4,8]
[8,2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2,8]
[7,2,6,4,3,1,8,5]=>[5,8,1,3,4,6,2,7]
[6,8,5,2,1,4,3,7]=>[7,3,4,1,2,5,8,6]
[3,2,8,5,7,4,1,6]=>[6,1,4,7,5,8,2,3]
[8,2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2,8]
[8,4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4,8]
[8,2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2,8]
[8,7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7,8]
[1,8,7,5,4,2,3,6]=>[6,3,2,4,5,7,8,1]
[8,4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4,8]
[4,1,7,2,3,8,6,5]=>[5,6,8,3,2,7,1,4]
[1,6,5,2,7,8,3,4]=>[4,3,8,7,2,5,6,1]
[1,2,7,5,8,6,3,4]=>[4,3,6,8,5,7,2,1]
[1,6,2,5,7,8,4,3]=>[3,4,8,7,5,2,6,1]
[7,4,5,1,6,8,2,3]=>[3,2,8,6,1,5,4,7]
[1,6,4,5,2,7,8,3]=>[3,8,7,2,5,4,6,1]
[1,7,8,4,2,6,3,5]=>[5,3,6,2,4,8,7,1]
[6,3,2,5,7,4,1,8]=>[8,1,4,7,5,2,3,6]
[7,4,3,2,6,8,1,5]=>[5,1,8,6,2,3,4,7]
[5,2,8,4,6,3,1,7]=>[7,1,3,6,4,8,2,5]
[6,4,7,5,3,1,2,8]=>[8,2,1,3,5,7,4,6]
[6,2,1,4,5,8,3,7]=>[7,3,8,5,4,1,2,6]
[6,4,8,5,2,7,3,1]=>[1,3,7,2,5,8,4,6]
[5,2,6,3,1,8,4,7]=>[7,4,8,1,3,6,2,5]
[6,2,3,1,8,4,5,7]=>[7,5,4,8,1,3,2,6]
[5,4,2,7,1,3,8,6]=>[6,8,3,1,7,2,4,5]
[3,7,1,5,2,4,8,6]=>[6,8,4,2,5,1,7,3]
[5,2,1,7,4,6,3,8]=>[8,3,6,4,7,1,2,5]
[1,7,5,8,3,2,4,6]=>[6,4,2,3,8,5,7,1]
[1,3,8,5,7,2,4,6]=>[6,4,2,7,5,8,3,1]
[8,3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3,8]
[3,2,8,5,6,4,1,7]=>[7,1,4,6,5,8,2,3]
[3,8,2,5,6,4,1,7]=>[7,1,4,6,5,2,8,3]
[5,2,6,8,7,1,4,3]=>[3,4,1,7,8,6,2,5]
[8,1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1,8]
[6,2,1,5,3,7,8,4]=>[4,8,7,3,5,1,2,6]
[2,7,4,3,1,5,8,6]=>[6,8,5,1,3,4,7,2]
[3,8,1,6,2,7,4,5]=>[5,4,7,2,6,1,8,3]
[8,5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5,8]
[6,5,8,2,7,4,3,1]=>[1,3,4,7,2,8,5,6]
[1,8,6,2,3,4,7,5]=>[5,7,4,3,2,6,8,1]
[1,5,2,7,3,6,8,4]=>[4,8,6,3,7,2,5,1]
[1,4,7,6,2,8,5,3]=>[3,5,8,2,6,7,4,1]
[1,5,8,3,2,6,4,7]=>[7,4,6,2,3,8,5,1]
[6,2,5,1,3,8,7,4]=>[4,7,8,3,1,5,2,6]
[6,2,8,5,1,3,7,4]=>[4,7,3,1,5,8,2,6]
[4,1,7,8,3,6,5,2]=>[2,5,6,3,8,7,1,4]
[6,4,2,1,7,3,5,8]=>[8,5,3,7,1,2,4,6]
[5,8,4,2,1,3,6,7]=>[7,6,3,1,2,4,8,5]
[6,7,1,4,8,2,3,5]=>[5,3,2,8,4,1,7,6]
[6,8,1,2,3,5,4,7]=>[7,4,5,3,2,1,8,6]
[6,3,5,7,1,8,2,4]=>[4,2,8,1,7,5,3,6]
[6,4,2,5,7,8,3,1]=>[1,3,8,7,5,2,4,6]
[6,3,5,7,1,8,4,2]=>[2,4,8,1,7,5,3,6]
[7,4,1,2,3,6,5,8]=>[8,5,6,3,2,1,4,7]
[7,2,1,6,3,4,5,8]=>[8,5,4,3,6,1,2,7]
[7,3,6,2,4,1,5,8]=>[8,5,1,4,2,6,3,7]
[5,4,1,2,3,6,8,7]=>[7,8,6,3,2,1,4,5]
[7,2,4,3,1,8,5,6]=>[6,5,8,1,3,4,2,7]
[1,7,5,8,4,3,6,2]=>[2,6,3,4,8,5,7,1]
[2,7,8,5,1,6,3,4]=>[4,3,6,1,5,8,7,2]
[2,7,8,3,5,1,6,4]=>[4,6,1,5,3,8,7,2]
[2,3,7,8,5,6,4,1]=>[1,4,6,5,8,7,3,2]
[2,3,7,5,8,1,6,4]=>[4,6,1,8,5,7,3,2]
[2,3,7,5,8,6,4,1]=>[1,4,6,8,5,7,3,2]
[4,3,1,7,8,2,5,6]=>[6,5,2,8,7,1,3,4]
[2,5,7,8,1,3,6,4]=>[4,6,3,1,8,7,5,2]
[2,5,7,8,3,6,4,1]=>[1,4,6,3,8,7,5,2]
[6,1,3,5,7,8,2,4]=>[4,2,8,7,5,3,1,6]
[5,8,1,6,4,7,2,3]=>[3,2,7,4,6,1,8,5]
[2,4,7,5,1,8,6,3]=>[3,6,8,1,5,7,4,2]
[2,3,7,1,8,5,6,4]=>[4,6,5,8,1,7,3,2]
[6,5,1,2,7,4,8,3]=>[3,8,4,7,2,1,5,6]
[3,6,5,7,8,2,4,1]=>[1,4,2,8,7,5,6,3]
[3,6,5,1,8,7,4,2]=>[2,4,7,8,1,5,6,3]
[7,4,5,8,1,3,2,6]=>[6,2,3,1,8,5,4,7]
[5,7,2,1,6,4,3,8]=>[8,3,4,6,1,2,7,5]
[8,7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7,8]
[7,8,1,2,5,4,3,6]=>[6,3,4,5,2,1,8,7]
[8,7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7,8]
[8,1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1,8]
[4,2,7,8,6,5,3,1]=>[1,3,5,6,8,7,2,4]
[3,1,2,7,6,5,4,8]=>[8,4,5,6,7,2,1,3]
[2,7,8,1,6,4,3,5]=>[5,3,4,6,1,8,7,2]
[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]
[3,4,7,6,1,5,2,8]=>[8,2,5,1,6,7,4,3]
[5,7,1,6,8,4,2,3]=>[3,2,4,8,6,1,7,5]
[4,1,7,6,8,5,2,3]=>[3,2,5,8,6,7,1,4]
[3,4,7,6,5,8,1,2]=>[2,1,8,5,6,7,4,3]
[2,8,4,3,5,1,7,6]=>[6,7,1,5,3,4,8,2]
[3,8,4,2,6,5,7,1]=>[1,7,5,6,2,4,8,3]
[3,2,5,8,6,4,7,1]=>[1,7,4,6,8,5,2,3]
[4,2,5,3,6,8,7,1]=>[1,7,8,6,3,5,2,4]
[3,8,4,1,6,5,7,2]=>[2,7,5,6,1,4,8,3]
[1,8,5,2,6,4,7,3]=>[3,7,4,6,2,5,8,1]
[3,8,5,1,6,4,7,2]=>[2,7,4,6,1,5,8,3]
[4,8,5,1,6,3,7,2]=>[2,7,3,6,1,5,8,4]
[4,1,5,8,6,3,7,2]=>[2,7,3,6,8,5,1,4]
[4,1,5,3,6,2,7,8]=>[8,7,2,6,3,5,1,4]
[3,8,5,4,6,2,7,1]=>[1,7,2,6,4,5,8,3]
[5,2,4,7,6,8,1,3]=>[3,1,8,6,7,4,2,5]
[3,1,5,7,4,8,6,2]=>[2,6,8,4,7,5,1,3]
[4,1,7,6,8,2,5,3]=>[3,5,2,8,6,7,1,4]
[7,2,6,4,1,5,3,8]=>[8,3,5,1,4,6,2,7]
[1,2,6,5,8,3,7,4]=>[4,7,3,8,5,6,2,1]
[7,3,5,6,1,4,2,8]=>[8,2,4,1,6,5,3,7]
[5,8,3,1,6,7,4,2]=>[2,4,7,6,1,3,8,5]
[4,5,8,1,7,3,6,2]=>[2,6,3,7,1,8,5,4]
[4,7,1,6,8,5,2,3]=>[3,2,5,8,6,1,7,4]
[5,8,7,1,6,4,2,3]=>[3,2,4,6,1,7,8,5]
[4,1,8,3,2,5,7,6]=>[6,7,5,2,3,8,1,4]
[1,7,3,8,2,5,4,6]=>[6,4,5,2,8,3,7,1]
[8,4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4,8]
[8,2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2,8]
[5,1,8,4,3,6,7,2]=>[2,7,6,3,4,8,1,5]
[8,2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2,8]
[8,4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4,8]
[1,8,4,6,2,3,5,7]=>[7,5,3,2,6,4,8,1]
[4,1,3,5,6,2,7,8]=>[8,7,2,6,5,3,1,4]
[2,6,1,3,7,5,8,4]=>[4,8,5,7,3,1,6,2]
[2,5,1,7,6,3,8,4]=>[4,8,3,6,7,1,5,2]
[5,8,2,4,6,1,7,3]=>[3,7,1,6,4,2,8,5]
[1,4,7,8,5,2,6,3]=>[3,6,2,5,8,7,4,1]
[3,8,5,2,6,4,1,7]=>[7,1,4,6,2,5,8,3]
[8,2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2,8]
[5,3,1,8,6,7,4,2]=>[2,4,7,6,8,1,3,5]
[5,7,1,6,4,2,8,3]=>[3,8,2,4,6,1,7,5]
[2,7,1,6,5,8,4,3]=>[3,4,8,5,6,1,7,2]
[2,3,6,1,7,5,4,8]=>[8,4,5,7,1,6,3,2]
[2,7,1,4,8,6,5,3]=>[3,5,6,8,4,1,7,2]
[6,7,5,4,1,3,2,8]=>[8,2,3,1,4,5,7,6]
[5,7,3,2,1,4,8,6]=>[6,8,4,1,2,3,7,5]
[5,8,6,3,2,4,7,1]=>[1,7,4,2,3,6,8,5]
[6,2,7,1,4,3,5,8]=>[8,5,3,4,1,7,2,6]
[7,6,2,8,5,3,1,4]=>[4,1,3,5,8,2,6,7]
[6,1,5,7,3,4,8,2]=>[2,8,4,3,7,5,1,6]
[7,1,2,3,8,4,6,5]=>[5,6,4,8,3,2,1,7]
[3,5,8,1,6,2,7,4]=>[4,7,2,6,1,8,5,3]
[4,1,3,5,2,7,6,8]=>[8,6,7,2,5,3,1,4]
[4,1,5,7,2,8,6,3]=>[3,6,8,2,7,5,1,4]
[4,5,7,6,2,8,3,1]=>[1,3,8,2,6,7,5,4]
[4,5,6,2,8,7,1,3]=>[3,1,7,8,2,6,5,4]
[6,2,8,5,4,3,7,1]=>[1,7,3,4,5,8,2,6]
[3,7,4,8,6,5,2,1]=>[1,2,5,6,8,4,7,3]
[3,8,6,5,4,2,7,1]=>[1,7,2,4,5,6,8,3]
[5,8,4,7,6,1,2,3]=>[3,2,1,6,7,4,8,5]
[8,3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3,8]
[4,8,5,7,3,2,6,1]=>[1,6,2,3,7,5,8,4]
[2,6,7,4,8,1,5,3]=>[3,5,1,8,4,7,6,2]
[2,8,6,5,4,1,3,7]=>[7,3,1,4,5,6,8,2]
[8,3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3,8]
[8,7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7,8]
[6,8,4,3,1,2,7,5]=>[5,7,2,1,3,4,8,6]
[8,3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3,8]
[7,3,2,6,5,1,4,8]=>[8,4,1,5,6,2,3,7]
[8,3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3,8]
[2,5,4,6,8,3,7,1]=>[1,7,3,8,6,4,5,2]
[2,6,5,8,7,1,4,3]=>[3,4,1,7,8,5,6,2]
[2,5,3,7,1,4,6,8]=>[8,6,4,1,7,3,5,2]
[2,6,8,4,7,1,3,5]=>[5,3,1,7,4,8,6,2]
[2,8,3,7,5,4,1,6]=>[6,1,4,5,7,3,8,2]
[2,7,8,4,1,5,3,6]=>[6,3,5,1,4,8,7,2]
[8,3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3,8]
[7,8,6,3,2,5,4,1]=>[1,4,5,2,3,6,8,7]
[6,1,3,8,4,7,5,2]=>[2,5,7,4,8,3,1,6]
[5,4,2,8,1,6,7,3]=>[3,7,6,1,8,2,4,5]
[5,3,1,8,7,4,6,2]=>[2,6,4,7,8,1,3,5]
[5,2,8,6,3,1,4,7]=>[7,4,1,3,6,8,2,5]
[4,5,1,7,8,6,3,2]=>[2,3,6,8,7,1,5,4]
[4,2,5,6,8,3,7,1]=>[1,7,3,8,6,5,2,4]
[7,4,8,1,2,6,5,3]=>[3,5,6,2,1,8,4,7]
[1,6,4,8,2,3,5,7]=>[7,5,3,2,8,4,6,1]
[1,6,8,3,7,5,4,2]=>[2,4,5,7,3,8,6,1]
[7,3,6,5,1,8,2,4]=>[4,2,8,1,5,6,3,7]
[7,2,4,1,8,6,3,5]=>[5,3,6,8,1,4,2,7]
[1,6,8,2,7,3,5,4]=>[4,5,3,7,2,8,6,1]
[4,8,7,2,1,3,6,5]=>[5,6,3,1,2,7,8,4]
[5,8,1,3,7,4,6,2]=>[2,6,4,7,3,1,8,5]
[5,4,8,1,7,2,3,6]=>[6,3,2,7,1,8,4,5]
[2,8,5,6,4,1,7,3]=>[3,7,1,4,6,5,8,2]
[1,4,7,3,5,8,6,2]=>[2,6,8,5,3,7,4,1]
[3,7,8,2,5,1,6,4]=>[4,6,1,5,2,8,7,3]
[8,6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6,8]
[7,3,8,2,4,1,5,6]=>[6,5,1,4,2,8,3,7]
[6,3,7,8,1,2,5,4]=>[4,5,2,1,8,7,3,6]
[7,6,1,5,2,3,8,4]=>[4,8,3,2,5,1,6,7]
[5,7,1,6,8,2,3,4]=>[4,3,2,8,6,1,7,5]
[6,8,4,2,1,7,3,5]=>[5,3,7,1,2,4,8,6]
[6,3,2,8,1,7,4,5]=>[5,4,7,1,8,2,3,6]
[1,8,5,6,3,7,4,2]=>[2,4,7,3,6,5,8,1]
[6,7,8,2,4,1,5,3]=>[3,5,1,4,2,8,7,6]
[5,4,2,1,7,6,8,3]=>[3,8,6,7,1,2,4,5]
[6,4,1,3,7,8,5,2]=>[2,5,8,7,3,1,4,6]
[2,3,1,7,4,6,5,8]=>[8,5,6,4,7,1,3,2]
[2,8,3,7,5,4,6,1]=>[1,6,4,5,7,3,8,2]
[6,8,5,4,3,7,1,2]=>[2,1,7,3,4,5,8,6]
[1,8,3,2,7,4,5,6]=>[6,5,4,7,2,3,8,1]
[4,5,1,7,3,2,8,6]=>[6,8,2,3,7,1,5,4]
[1,8,6,7,4,3,5,2]=>[2,5,3,4,7,6,8,1]
[1,7,8,2,3,4,6,5]=>[5,6,4,3,2,8,7,1]
[3,7,2,1,6,5,8,4]=>[4,8,5,6,1,2,7,3]
[1,6,3,4,2,8,5,7]=>[7,5,8,2,4,3,6,1]
[5,2,3,8,1,6,4,7]=>[7,4,6,1,8,3,2,5]
[2,7,8,4,3,1,5,6]=>[6,5,1,3,4,8,7,2]
[7,4,2,1,6,3,8,5]=>[5,8,3,6,1,2,4,7]
[3,5,8,4,2,7,1,6]=>[6,1,7,2,4,8,5,3]
[3,5,6,7,4,1,2,8]=>[8,2,1,4,7,6,5,3]
[5,1,3,6,8,4,2,7]=>[7,2,4,8,6,3,1,5]
[5,6,4,8,7,1,2,3]=>[3,2,1,7,8,4,6,5]
[6,5,4,2,8,7,3,1]=>[1,3,7,8,2,4,5,6]
[1,8,5,2,7,6,3,4]=>[4,3,6,7,2,5,8,1]
[8,2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2,8]
[4,6,8,3,1,5,2,7]=>[7,2,5,1,3,8,6,4]
[5,3,6,4,8,1,2,7]=>[7,2,1,8,4,6,3,5]
[3,6,5,2,1,7,8,4]=>[4,8,7,1,2,5,6,3]
[5,7,4,8,3,1,2,6]=>[6,2,1,3,8,4,7,5]
[3,7,2,8,1,4,6,5]=>[5,6,4,1,8,2,7,3]
[7,4,3,6,1,5,2,8]=>[8,2,5,1,6,3,4,7]
[4,5,8,3,6,2,1,7]=>[7,1,2,6,3,8,5,4]
[1,6,7,3,8,2,4,5]=>[5,4,2,8,3,7,6,1]
[6,3,7,5,1,2,4,8]=>[8,4,2,1,5,7,3,6]
[5,3,7,1,2,6,4,8]=>[8,4,6,2,1,7,3,5]
[5,1,2,6,4,7,3,8]=>[8,3,7,4,6,2,1,5]
[6,1,2,4,8,3,7,5]=>[5,7,3,8,4,2,1,6]
[6,7,2,8,1,4,5,3]=>[3,5,4,1,8,2,7,6]
[7,1,4,5,6,3,8,2]=>[2,8,3,6,5,4,1,7]
[2,5,6,3,1,4,7,8]=>[8,7,4,1,3,6,5,2]
[6,7,1,3,5,2,4,8]=>[8,4,2,5,3,1,7,6]
[7,1,4,5,6,2,3,8]=>[8,3,2,6,5,4,1,7]
[2,5,6,8,1,4,7,3]=>[3,7,4,1,8,6,5,2]
[7,4,1,6,5,2,3,8]=>[8,3,2,5,6,1,4,7]
[4,1,6,5,2,3,8,7]=>[7,8,3,2,5,6,1,4]
[4,5,1,7,8,6,2,3]=>[3,2,6,8,7,1,5,4]
[8,5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5,8]
[6,8,7,4,3,5,2,1]=>[1,2,5,3,4,7,8,6]
[6,8,7,5,3,4,2,1]=>[1,2,4,3,5,7,8,6]
[5,8,6,2,4,7,3,1]=>[1,3,7,4,2,6,8,5]
[4,8,6,2,5,7,3,1]=>[1,3,7,5,2,6,8,4]
[1,6,4,7,5,3,2,8]=>[8,2,3,5,7,4,6,1]
[1,6,5,3,2,7,4,8]=>[8,4,7,2,3,5,6,1]
[1,6,8,7,4,5,3,2]=>[2,3,5,4,7,8,6,1]
[1,4,7,5,3,2,6,8]=>[8,6,2,3,5,7,4,1]
[1,7,5,4,3,2,8,6]=>[6,8,2,3,4,5,7,1]
[1,4,7,5,3,2,8,6]=>[6,8,2,3,5,7,4,1]
[1,7,4,6,8,5,3,2]=>[2,3,5,8,6,4,7,1]
[6,8,7,2,3,5,4,1]=>[1,4,5,3,2,7,8,6]
[5,7,6,1,8,2,4,3]=>[3,4,2,8,1,6,7,5]
[4,8,6,5,7,2,3,1]=>[1,3,2,7,5,6,8,4]
[2,7,8,5,1,4,3,6]=>[6,3,4,1,5,8,7,2]
[3,6,4,8,1,2,5,7]=>[7,5,2,1,8,4,6,3]
[8,5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5,8]
[5,7,2,1,6,4,8,3]=>[3,8,4,6,1,2,7,5]
[5,3,7,6,2,8,4,1]=>[1,4,8,2,6,7,3,5]
[2,7,5,6,1,4,8,3]=>[3,8,4,1,6,5,7,2]
[2,4,1,7,6,8,3,5]=>[5,3,8,6,7,1,4,2]
[2,4,3,7,6,8,1,5]=>[5,1,8,6,7,3,4,2]
[5,1,6,4,3,7,8,2]=>[2,8,7,3,4,6,1,5]
[5,7,1,6,4,3,8,2]=>[2,8,3,4,6,1,7,5]
[8,4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4,8]
[8,5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5,8]
[3,5,8,4,2,6,1,7]=>[7,1,6,2,4,8,5,3]
[8,1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1,8]
[1,5,4,7,8,2,6,3]=>[3,6,2,8,7,4,5,1]
[8,3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3,8]
[4,3,1,6,2,5,8,7]=>[7,8,5,2,6,1,3,4]
[7,5,2,1,8,4,3,6]=>[6,3,4,8,1,2,5,7]
[5,3,1,4,7,8,2,6]=>[6,2,8,7,4,1,3,5]
[7,1,2,4,8,3,5,6]=>[6,5,3,8,4,2,1,7]
[8,6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6,8]
[7,1,5,8,2,3,4,6]=>[6,4,3,2,8,5,1,7]
[3,6,8,5,1,4,2,7]=>[7,2,4,1,5,8,6,3]
[5,2,4,1,6,8,3,7]=>[7,3,8,6,1,4,2,5]
[7,1,5,2,3,4,6,8]=>[8,6,4,3,2,5,1,7]
[2,5,3,4,6,8,1,7]=>[7,1,8,6,4,3,5,2]
[4,7,1,2,5,6,3,8]=>[8,3,6,5,2,1,7,4]
[6,7,3,1,8,2,4,5]=>[5,4,2,8,1,3,7,6]
[7,3,1,4,6,2,8,5]=>[5,8,2,6,4,1,3,7]
[7,4,1,2,5,6,3,8]=>[8,3,6,5,2,1,4,7]
[5,4,1,3,6,8,7,2]=>[2,7,8,6,3,1,4,5]
[5,7,4,8,1,6,3,2]=>[2,3,6,1,8,4,7,5]
[5,7,3,4,6,2,1,8]=>[8,1,2,6,4,3,7,5]
[7,3,5,6,2,4,1,8]=>[8,1,4,2,6,5,3,7]
[3,7,2,5,6,1,4,8]=>[8,4,1,6,5,2,7,3]
[3,1,2,7,5,8,6,4]=>[4,6,8,5,7,2,1,3]
[3,7,2,5,1,6,4,8]=>[8,4,6,1,5,2,7,3]
[4,5,8,2,7,6,3,1]=>[1,3,6,7,2,8,5,4]
[1,5,7,2,6,4,3,8]=>[8,3,4,6,2,7,5,1]
[6,3,5,1,4,7,2,8]=>[8,2,7,4,1,5,3,6]
[7,3,4,6,1,5,2,8]=>[8,2,5,1,6,4,3,7]
[5,3,6,8,1,7,4,2]=>[2,4,7,1,8,6,3,5]
[8,3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3,8]
[8,4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4,8]
[2,3,7,8,1,6,4,5]=>[5,4,6,1,8,7,3,2]
[2,7,3,8,5,4,1,6]=>[6,1,4,5,8,3,7,2]
[6,5,3,8,2,4,7,1]=>[1,7,4,2,8,3,5,6]
[8,3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3,8]
[4,3,1,2,5,7,6,8]=>[8,6,7,5,2,1,3,4]
[1,2,4,7,8,5,6,3]=>[3,6,5,8,7,4,2,1]
[8,3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3,8]
[8,2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2,8]
[8,4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4,8]
[8,2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2,8]
[8,5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5,8]
[4,3,6,7,5,1,8,2]=>[2,8,1,5,7,6,3,4]
[2,6,7,1,4,3,5,8]=>[8,5,3,4,1,7,6,2]
[8,6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6,8]
[4,1,5,3,2,6,7,8]=>[8,7,6,2,3,5,1,4]
[5,1,2,6,4,3,7,8]=>[8,7,3,4,6,2,1,5]
[5,1,2,7,4,3,6,8]=>[8,6,3,4,7,2,1,5]
[5,1,2,7,6,4,3,8]=>[8,3,4,6,7,2,1,5]
[5,3,8,1,7,4,2,6]=>[6,2,4,7,1,8,3,5]
[5,8,7,2,4,6,3,1]=>[1,3,6,4,2,7,8,5]
[8,5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5,8]
[5,6,3,1,2,8,4,7]=>[7,4,8,2,1,3,6,5]
[5,3,8,4,6,1,2,7]=>[7,2,1,6,4,8,3,5]
[5,3,1,8,4,2,6,7]=>[7,6,2,4,8,1,3,5]
[5,8,3,1,6,2,4,7]=>[7,4,2,6,1,3,8,5]
[5,6,8,3,1,4,2,7]=>[7,2,4,1,3,8,6,5]
[5,3,6,8,4,1,2,7]=>[7,2,1,4,8,6,3,5]
[5,3,1,2,6,4,8,7]=>[7,8,4,6,2,1,3,5]
[5,3,4,8,6,1,2,7]=>[7,2,1,6,8,4,3,5]
[5,3,1,4,6,8,2,7]=>[7,2,8,6,4,1,3,5]
[4,3,6,5,1,2,8,7]=>[7,8,2,1,5,6,3,4]
[5,4,1,6,8,7,2,3]=>[3,2,7,8,6,1,4,5]
[3,5,4,7,8,1,6,2]=>[2,6,1,8,7,4,5,3]
[4,5,3,6,8,7,1,2]=>[2,1,7,8,6,3,5,4]
[4,1,6,7,2,8,5,3]=>[3,5,8,2,7,6,1,4]
[2,1,6,5,8,7,3,4]=>[4,3,7,8,5,6,1,2]
[6,4,5,7,1,8,3,2]=>[2,3,8,1,7,5,4,6]
[4,8,2,5,7,3,6,1]=>[1,6,3,7,5,2,8,4]
[4,5,2,7,8,3,1,6]=>[6,1,3,8,7,2,5,4]
[2,5,6,8,1,4,3,7]=>[7,3,4,1,8,6,5,2]
[2,5,7,8,1,4,3,6]=>[6,3,4,1,8,7,5,2]
[3,6,7,8,2,5,4,1]=>[1,4,5,2,8,7,6,3]
[3,7,8,1,6,2,5,4]=>[4,5,2,6,1,8,7,3]
[4,7,8,2,6,3,5,1]=>[1,5,3,6,2,8,7,4]
[5,6,8,2,7,1,4,3]=>[3,4,1,7,2,8,6,5]
[4,5,8,2,7,1,3,6]=>[6,3,1,7,2,8,5,4]
[4,5,7,8,3,2,6,1]=>[1,6,2,3,8,7,5,4]
[3,4,6,1,7,5,8,2]=>[2,8,5,7,1,6,4,3]
[6,1,5,4,7,3,8,2]=>[2,8,3,7,4,5,1,6]
[3,2,5,6,7,1,8,4]=>[4,8,1,7,6,5,2,3]
[3,6,5,2,7,4,8,1]=>[1,8,4,7,2,5,6,3]
[6,4,5,1,7,3,8,2]=>[2,8,3,7,1,5,4,6]
[6,1,5,3,7,2,8,4]=>[4,8,2,7,3,5,1,6]
[6,1,5,3,7,4,8,2]=>[2,8,4,7,3,5,1,6]
[6,2,5,4,7,3,8,1]=>[1,8,3,7,4,5,2,6]
[5,1,7,6,3,2,4,8]=>[8,4,2,3,6,7,1,5]
[8,5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5,8]
[8,5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5,8]
[6,5,1,7,2,4,3,8]=>[8,3,4,2,7,1,5,6]
[6,3,2,1,5,8,7,4]=>[4,7,8,5,1,2,3,6]
[8,5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5,8]
[8,2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2,8]
[8,6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6,8]
[6,7,5,1,8,3,4,2]=>[2,4,3,8,1,5,7,6]
[2,6,7,1,5,3,4,8]=>[8,4,3,5,1,7,6,2]
[6,7,8,5,1,3,4,2]=>[2,4,3,1,5,8,7,6]
[6,8,5,7,1,3,4,2]=>[2,4,3,1,7,5,8,6]
[8,4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4,8]
[8,4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4,8]
[8,7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7,8]
[3,1,8,4,2,7,6,5]=>[5,6,7,2,4,8,1,3]
[2,8,7,4,1,3,6,5]=>[5,6,3,1,4,7,8,2]
[8,2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2,8]
[8,7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7,8]
[7,2,5,8,3,1,4,6]=>[6,4,1,3,8,5,2,7]
[6,8,2,3,1,7,4,5]=>[5,4,7,1,3,2,8,6]
[8,2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2,8]
[8,2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2,8]
[3,1,6,2,7,8,5,4]=>[4,5,8,7,2,6,1,3]
[5,3,1,7,8,2,6,4]=>[4,6,2,8,7,1,3,5]
[6,7,4,3,8,5,1,2]=>[2,1,5,8,3,4,7,6]
[6,2,3,7,1,8,5,4]=>[4,5,8,1,7,3,2,6]
[5,3,2,8,7,1,6,4]=>[4,6,1,7,8,2,3,5]
[8,6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6,8]
[4,1,3,6,5,2,8,7]=>[7,8,2,5,6,3,1,4]
[4,6,3,2,5,1,8,7]=>[7,8,1,5,2,3,6,4]
[4,8,3,2,6,5,7,1]=>[1,7,5,6,2,3,8,4]
[4,8,3,6,5,2,7,1]=>[1,7,2,5,6,3,8,4]
[8,1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1,8]
[2,4,3,8,6,1,7,5]=>[5,7,1,6,8,3,4,2]
[2,6,3,8,5,4,7,1]=>[1,7,4,5,8,3,6,2]
[6,1,3,2,5,8,7,4]=>[4,7,8,5,2,3,1,6]
[6,8,4,2,5,3,7,1]=>[1,7,3,5,2,4,8,6]
[6,8,4,3,5,2,7,1]=>[1,7,2,5,3,4,8,6]
[8,1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1,8]
[3,5,4,6,1,2,8,7]=>[7,8,2,1,6,4,5,3]
[7,3,5,6,1,8,2,4]=>[4,2,8,1,6,5,3,7]
[5,7,6,3,4,2,8,1]=>[1,8,2,4,3,6,7,5]
[4,6,7,2,3,5,8,1]=>[1,8,5,3,2,7,6,4]
[6,5,4,8,7,2,3,1]=>[1,3,2,7,8,4,5,6]
[3,8,4,1,7,5,6,2]=>[2,6,5,7,1,4,8,3]
[4,5,2,1,3,6,8,7]=>[7,8,6,3,1,2,5,4]
[8,5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5,8]
[4,8,7,1,2,6,3,5]=>[5,3,6,2,1,7,8,4]
[4,6,1,5,2,3,7,8]=>[8,7,3,2,5,1,6,4]
[5,7,4,3,6,2,1,8]=>[8,1,2,6,3,4,7,5]
[4,5,3,8,1,6,2,7]=>[7,2,6,1,8,3,5,4]
[4,7,1,2,6,8,5,3]=>[3,5,8,6,2,1,7,4]
[1,8,5,6,2,3,7,4]=>[4,7,3,2,6,5,8,1]
[7,2,4,6,8,1,5,3]=>[3,5,1,8,6,4,2,7]
[6,2,5,4,7,8,1,3]=>[3,1,8,7,4,5,2,6]
[3,8,2,6,1,7,4,5]=>[5,4,7,1,6,2,8,3]
[4,3,7,8,5,2,6,1]=>[1,6,2,5,8,7,3,4]
[5,6,1,8,4,2,3,7]=>[7,3,2,4,8,1,6,5]
[7,4,2,6,1,3,8,5]=>[5,8,3,1,6,2,4,7]
[6,1,7,4,2,3,8,5]=>[5,8,3,2,4,7,1,6]
[8,5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5,8]
[4,3,7,5,2,8,6,1]=>[1,6,8,2,5,7,3,4]
[3,1,8,7,4,6,5,2]=>[2,5,6,4,7,8,1,3]
[5,1,7,6,2,4,3,8]=>[8,3,4,2,6,7,1,5]
[7,4,8,1,5,3,6,2]=>[2,6,3,5,1,8,4,7]
[4,6,5,1,8,2,3,7]=>[7,3,2,8,1,5,6,4]
[2,1,6,8,3,5,4,7]=>[7,4,5,3,8,6,1,2]
[6,2,3,4,1,7,5,8]=>[8,5,7,1,4,3,2,6]
[5,3,7,8,2,6,1,4]=>[4,1,6,2,8,7,3,5]
[2,1,7,6,3,5,4,8]=>[8,4,5,3,6,7,1,2]
[7,6,2,1,3,5,8,4]=>[4,8,5,3,1,2,6,7]
[2,7,1,6,4,3,5,8]=>[8,5,3,4,6,1,7,2]
[2,8,5,3,7,4,1,6]=>[6,1,4,7,3,5,8,2]
[5,4,3,8,7,2,1,6]=>[6,1,2,7,8,3,4,5]
[3,8,1,6,4,5,7,2]=>[2,7,5,4,6,1,8,3]
[4,5,8,3,6,1,7,2]=>[2,7,1,6,3,8,5,4]
[3,7,1,4,2,5,6,8]=>[8,6,5,2,4,1,7,3]
[5,4,6,1,2,8,7,3]=>[3,7,8,2,1,6,4,5]
[2,6,3,4,1,5,7,8]=>[8,7,5,1,4,3,6,2]
[3,7,4,6,8,1,2,5]=>[5,2,1,8,6,4,7,3]
[3,8,4,5,7,2,1,6]=>[6,1,2,7,5,4,8,3]
[4,5,8,7,2,3,1,6]=>[6,1,3,2,7,8,5,4]
[5,6,1,3,7,8,2,4]=>[4,2,8,7,3,1,6,5]
[3,8,4,6,5,7,2,1]=>[1,2,7,5,6,4,8,3]
[2,6,4,5,8,7,1,3]=>[3,1,7,8,5,4,6,2]
[8,2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2,8]
[6,3,1,8,7,4,5,2]=>[2,5,4,7,8,1,3,6]
[8,6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6,8]
[1,3,6,8,7,4,5,2]=>[2,5,4,7,8,6,3,1]
[5,7,1,3,6,2,4,8]=>[8,4,2,6,3,1,7,5]
[4,7,5,2,3,6,8,1]=>[1,8,6,3,2,5,7,4]
[3,6,4,1,2,5,7,8]=>[8,7,5,2,1,4,6,3]
[4,7,1,3,2,5,8,6]=>[6,8,5,2,3,1,7,4]
[4,7,1,3,2,6,8,5]=>[5,8,6,2,3,1,7,4]
[5,7,1,3,6,2,8,4]=>[4,8,2,6,3,1,7,5]
[6,8,2,5,7,3,1,4]=>[4,1,3,7,5,2,8,6]
[4,8,5,2,3,6,1,7]=>[7,1,6,3,2,5,8,4]
[5,8,6,3,4,7,2,1]=>[1,2,7,4,3,6,8,5]
[3,7,5,4,2,8,1,6]=>[6,1,8,2,4,5,7,3]
[4,6,5,1,7,8,2,3]=>[3,2,8,7,1,5,6,4]
[4,7,1,3,2,8,5,6]=>[6,5,8,2,3,1,7,4]
[3,6,5,1,8,2,4,7]=>[7,4,2,8,1,5,6,3]
[5,8,7,3,4,2,6,1]=>[1,6,2,4,3,7,8,5]
[5,7,1,8,6,2,4,3]=>[3,4,2,6,8,1,7,5]
[3,8,5,6,4,1,7,2]=>[2,7,1,4,6,5,8,3]
[5,2,8,1,6,7,4,3]=>[3,4,7,6,1,8,2,5]
[5,7,8,4,2,1,6,3]=>[3,6,1,2,4,8,7,5]
[1,4,6,8,7,5,2,3]=>[3,2,5,7,8,6,4,1]
[6,4,3,8,7,5,2,1]=>[1,2,5,7,8,3,4,6]
[8,5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5,8]
[8,5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5,8]
[4,7,2,3,5,8,6,1]=>[1,6,8,5,3,2,7,4]
[3,8,2,7,4,5,6,1]=>[1,6,5,4,7,2,8,3]
[4,7,2,6,8,5,3,1]=>[1,3,5,8,6,2,7,4]
[3,7,2,4,5,8,6,1]=>[1,6,8,5,4,2,7,3]
[4,8,2,5,6,7,3,1]=>[1,3,7,6,5,2,8,4]
[6,8,3,2,4,5,7,1]=>[1,7,5,4,2,3,8,6]
[4,5,8,3,2,6,7,1]=>[1,7,6,2,3,8,5,4]
[3,8,5,2,7,4,6,1]=>[1,6,4,7,2,5,8,3]
[4,2,8,6,3,5,7,1]=>[1,7,5,3,6,8,2,4]
[7,2,5,8,4,3,6,1]=>[1,6,3,4,8,5,2,7]
[4,2,7,6,8,5,3,1]=>[1,3,5,8,6,7,2,4]
[5,2,6,8,7,4,3,1]=>[1,3,4,7,8,6,2,5]
[3,7,4,6,8,5,2,1]=>[1,2,5,8,6,4,7,3]
[3,8,4,5,6,2,7,1]=>[1,7,2,6,5,4,8,3]
[6,3,1,5,4,8,2,7]=>[7,2,8,4,5,1,3,6]
[4,7,6,3,5,2,8,1]=>[1,8,2,5,3,6,7,4]
[5,8,2,3,4,7,6,1]=>[1,6,7,4,3,2,8,5]
[8,7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7,8]
[8,3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3,8]
[5,3,1,6,4,8,7,2]=>[2,7,8,4,6,1,3,5]
[3,4,8,5,7,2,6,1]=>[1,6,2,7,5,8,4,3]
[2,5,1,4,7,6,8,3]=>[3,8,6,7,4,1,5,2]
[2,8,3,5,1,7,6,4]=>[4,6,7,1,5,3,8,2]
[8,3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3,8]
[2,3,8,6,1,7,5,4]=>[4,5,7,1,6,8,3,2]
[8,5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5,8]
[6,5,8,3,1,4,7,2]=>[2,7,4,1,3,8,5,6]
[5,6,7,1,2,4,8,3]=>[3,8,4,2,1,7,6,5]
[7,1,6,8,3,2,5,4]=>[4,5,2,3,8,6,1,7]
[8,1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1,8]
[8,2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2,8]
[2,7,1,6,4,3,8,5]=>[5,8,3,4,6,1,7,2]
[2,7,6,8,1,3,4,5]=>[5,4,3,1,8,6,7,2]
[5,7,3,6,8,2,4,1]=>[1,4,2,8,6,3,7,5]
[2,3,8,4,5,1,7,6]=>[6,7,1,5,4,8,3,2]
[4,5,7,8,1,2,6,3]=>[3,6,2,1,8,7,5,4]
[7,2,6,4,5,8,3,1]=>[1,3,8,5,4,6,2,7]
[7,8,3,5,4,6,2,1]=>[1,2,6,4,5,3,8,7]
[4,3,7,5,2,8,1,6]=>[6,1,8,2,5,7,3,4]
[3,7,8,5,6,2,4,1]=>[1,4,2,6,5,8,7,3]
[3,4,5,7,1,6,2,8]=>[8,2,6,1,7,5,4,3]
[4,5,6,1,8,3,7,2]=>[2,7,3,8,1,6,5,4]
[3,5,8,2,1,7,6,4]=>[4,6,7,1,2,8,5,3]
[4,5,7,3,8,1,2,6]=>[6,2,1,8,3,7,5,4]
[7,4,3,6,2,5,8,1]=>[1,8,5,2,6,3,4,7]
[4,3,8,7,1,6,2,5]=>[5,2,6,1,7,8,3,4]
[1,5,3,8,4,7,2,6]=>[6,2,7,4,8,3,5,1]
[8,2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2,8]
[8,4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4,8]
[8,4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4,8]
[4,7,2,3,6,5,8,1]=>[1,8,5,6,3,2,7,4]
[3,8,2,6,4,7,1,5]=>[5,1,7,4,6,2,8,3]
[1,7,5,8,6,2,4,3]=>[3,4,2,6,8,5,7,1]
[6,5,1,7,4,8,3,2]=>[2,3,8,4,7,1,5,6]
[5,3,6,1,8,4,7,2]=>[2,7,4,8,1,6,3,5]
[4,2,1,8,5,7,6,3]=>[3,6,7,5,8,1,2,4]
[5,2,1,7,8,4,6,3]=>[3,6,4,8,7,1,2,5]
[4,2,8,6,3,7,1,5]=>[5,1,7,3,6,8,2,4]
[1,3,2,8,6,4,7,5]=>[5,7,4,6,8,2,3,1]
[4,8,2,6,7,3,1,5]=>[5,1,3,7,6,2,8,4]
[7,8,2,1,5,6,3,4]=>[4,3,6,5,1,2,8,7]
[7,2,6,4,8,5,1,3]=>[3,1,5,8,4,6,2,7]
[2,5,7,1,6,4,3,8]=>[8,3,4,6,1,7,5,2]
[5,1,4,6,3,8,7,2]=>[2,7,8,3,6,4,1,5]
[5,2,6,4,3,7,1,8]=>[8,1,7,3,4,6,2,5]
[1,4,8,7,5,6,3,2]=>[2,3,6,5,7,8,4,1]
[4,2,3,7,6,8,1,5]=>[5,1,8,6,7,3,2,4]
[3,1,7,4,2,6,5,8]=>[8,5,6,2,4,7,1,3]
[4,6,7,1,3,5,2,8]=>[8,2,5,3,1,7,6,4]
[3,6,1,4,8,5,7,2]=>[2,7,5,8,4,1,6,3]
[7,3,2,6,4,1,5,8]=>[8,5,1,4,6,2,3,7]
[6,2,7,5,3,4,8,1]=>[1,8,4,3,5,7,2,6]
[3,2,4,8,1,7,5,6]=>[6,5,7,1,8,4,2,3]
[7,6,3,5,1,4,8,2]=>[2,8,4,1,5,3,6,7]
[6,5,4,1,7,2,3,8]=>[8,3,2,7,1,4,5,6]
[8,3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3,8]
[7,1,2,6,4,8,3,5]=>[5,3,8,4,6,2,1,7]
[3,5,1,8,6,2,4,7]=>[7,4,2,6,8,1,5,3]
[5,4,6,2,1,8,3,7]=>[7,3,8,1,2,6,4,5]
[5,6,4,8,1,2,3,7]=>[7,3,2,1,8,4,6,5]
[4,6,1,3,7,8,2,5]=>[5,2,8,7,3,1,6,4]
[5,4,7,3,8,6,2,1]=>[1,2,6,8,3,7,4,5]
[2,7,5,6,1,3,8,4]=>[4,8,3,1,6,5,7,2]
[7,2,4,5,1,6,8,3]=>[3,8,6,1,5,4,2,7]
[4,2,5,8,7,6,1,3]=>[3,1,6,7,8,5,2,4]
[4,7,2,5,8,6,1,3]=>[3,1,6,8,5,2,7,4]
[1,8,7,5,4,6,2,3]=>[3,2,6,4,5,7,8,1]
[3,8,1,4,7,5,6,2]=>[2,6,5,7,4,1,8,3]
[6,4,1,5,3,8,7,2]=>[2,7,8,3,5,1,4,6]
[8,1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1,8]
[4,6,7,2,3,5,1,8]=>[8,1,5,3,2,7,6,4]
[8,6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6,8]
[8,1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1,8]
[6,4,8,1,5,3,7,2]=>[2,7,3,5,1,8,4,6]
[2,6,3,8,1,5,7,4]=>[4,7,5,1,8,3,6,2]
[4,1,3,8,6,7,5,2]=>[2,5,7,6,8,3,1,4]
[4,8,5,2,3,7,1,6]=>[6,1,7,3,2,5,8,4]
[4,8,6,1,3,7,5,2]=>[2,5,7,3,1,6,8,4]
[6,2,4,7,5,1,3,8]=>[8,3,1,5,7,4,2,6]
[8,2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2,8]
[5,1,8,6,3,7,2,4]=>[4,2,7,3,6,8,1,5]
[8,1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1,8]
[8,1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1,8]
[8,3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3,8]
[3,1,4,7,5,2,6,8]=>[8,6,2,5,7,4,1,3]
[7,1,4,6,2,3,5,8]=>[8,5,3,2,6,4,1,7]
[1,6,4,3,5,8,2,7]=>[7,2,8,5,3,4,6,1]
[5,1,4,3,7,8,6,2]=>[2,6,8,7,3,4,1,5]
[6,4,1,5,8,2,3,7]=>[7,3,2,8,5,1,4,6]
[5,7,6,2,1,8,4,3]=>[3,4,8,1,2,6,7,5]
[5,7,1,8,6,3,2,4]=>[4,2,3,6,8,1,7,5]
[5,8,1,6,3,2,7,4]=>[4,7,2,3,6,1,8,5]
[7,4,6,8,2,5,1,3]=>[3,1,5,2,8,6,4,7]
[2,7,6,3,5,1,8,4]=>[4,8,1,5,3,6,7,2]
[8,4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4,8]
[2,8,7,5,3,4,6,1]=>[1,6,4,3,5,7,8,2]
[5,7,6,3,4,2,1,8]=>[8,1,2,4,3,6,7,5]
[1,5,7,3,4,2,6,8]=>[8,6,2,4,3,7,5,1]
[2,5,7,6,3,4,1,8]=>[8,1,4,3,6,7,5,2]
[4,6,5,1,7,8,3,2]=>[2,3,8,7,1,5,6,4]
[2,1,6,4,3,7,5,8]=>[8,5,7,3,4,6,1,2]
[2,6,7,3,5,1,4,8]=>[8,4,1,5,3,7,6,2]
[8,4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4,8]
[5,6,2,4,7,1,3,8]=>[8,3,1,7,4,2,6,5]
[5,7,8,1,3,6,2,4]=>[4,2,6,3,1,8,7,5]
[4,1,3,7,6,5,2,8]=>[8,2,5,6,7,3,1,4]
[3,4,1,7,2,6,5,8]=>[8,5,6,2,7,1,4,3]
[2,8,3,5,1,6,7,4]=>[4,7,6,1,5,3,8,2]
[4,3,6,1,2,7,8,5]=>[5,8,7,2,1,6,3,4]
[3,7,6,2,5,1,8,4]=>[4,8,1,5,2,6,7,3]
[3,4,1,8,7,2,5,6]=>[6,5,2,7,8,1,4,3]
[2,7,8,6,4,3,1,5]=>[5,1,3,4,6,8,7,2]
[2,7,4,3,6,1,5,8]=>[8,5,1,6,3,4,7,2]
[4,7,2,5,3,1,6,8]=>[8,6,1,3,5,2,7,4]
[4,1,6,5,3,2,8,7]=>[7,8,2,3,5,6,1,4]
[7,8,3,5,1,6,2,4]=>[4,2,6,1,5,3,8,7]
[5,1,7,8,2,6,3,4]=>[4,3,6,2,8,7,1,5]
[6,5,7,3,2,1,8,4]=>[4,8,1,2,3,7,5,6]
[7,3,2,6,4,5,8,1]=>[1,8,5,4,6,2,3,7]
[7,3,1,6,4,5,8,2]=>[2,8,5,4,6,1,3,7]
[2,5,8,7,1,4,6,3]=>[3,6,4,1,7,8,5,2]
[5,3,8,7,1,4,6,2]=>[2,6,4,1,7,8,3,5]
[5,1,4,3,6,8,2,7]=>[7,2,8,6,3,4,1,5]
[4,8,6,5,1,3,2,7]=>[7,2,3,1,5,6,8,4]
[4,5,6,1,8,3,2,7]=>[7,2,3,8,1,6,5,4]
[4,8,6,5,2,3,1,7]=>[7,1,3,2,5,6,8,4]
[4,5,6,2,8,3,1,7]=>[7,1,3,8,2,6,5,4]
[7,2,6,1,3,5,8,4]=>[4,8,5,3,1,6,2,7]
[6,2,7,1,5,8,3,4]=>[4,3,8,5,1,7,2,6]
[7,4,3,6,1,8,2,5]=>[5,2,8,1,6,3,4,7]
[6,8,5,3,2,4,7,1]=>[1,7,4,2,3,5,8,6]
[2,5,7,4,6,1,8,3]=>[3,8,1,6,4,7,5,2]
[5,8,3,4,6,2,7,1]=>[1,7,2,6,4,3,8,5]
[7,8,6,1,5,4,2,3]=>[3,2,4,5,1,6,8,7]
[7,3,6,1,5,2,8,4]=>[4,8,2,5,1,6,3,7]
[8,6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6,8]
[5,8,3,6,7,2,4,1]=>[1,4,2,7,6,3,8,5]
[8,1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1,8]
[2,7,1,5,3,6,8,4]=>[4,8,6,3,5,1,7,2]
[6,8,7,3,4,2,5,1]=>[1,5,2,4,3,7,8,6]
[1,8,6,2,4,7,5,3]=>[3,5,7,4,2,6,8,1]
[4,1,6,3,2,8,7,5]=>[5,7,8,2,3,6,1,4]
[2,4,1,8,7,5,6,3]=>[3,6,5,7,8,1,4,2]
[2,8,7,5,1,4,6,3]=>[3,6,4,1,5,7,8,2]
[5,7,3,6,4,2,1,8]=>[8,1,2,4,6,3,7,5]
[5,7,3,6,4,1,8,2]=>[2,8,1,4,6,3,7,5]
[3,7,5,6,4,1,8,2]=>[2,8,1,4,6,5,7,3]
[2,8,1,4,5,3,6,7]=>[7,6,3,5,4,1,8,2]
[6,2,5,3,8,1,7,4]=>[4,7,1,8,3,5,2,6]
[5,3,2,6,7,8,1,4]=>[4,1,8,7,6,2,3,5]
[7,4,6,5,3,2,1,8]=>[8,1,2,3,5,6,4,7]
[7,5,1,3,4,2,8,6]=>[6,8,2,4,3,1,5,7]
[2,8,5,7,3,4,6,1]=>[1,6,4,3,7,5,8,2]
[8,5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5,8]
[6,1,5,3,4,2,7,8]=>[8,7,2,4,3,5,1,6]
[5,2,3,6,4,7,1,8]=>[8,1,7,4,6,3,2,5]
[6,8,4,5,3,2,1,7]=>[7,1,2,3,5,4,8,6]
[2,8,7,4,3,6,5,1]=>[1,5,6,3,4,7,8,2]
[4,8,1,3,5,2,6,7]=>[7,6,2,5,3,1,8,4]
[6,7,2,3,5,8,1,4]=>[4,1,8,5,3,2,7,6]
[7,4,5,8,2,3,1,6]=>[6,1,3,2,8,5,4,7]
[2,1,3,8,5,4,6,7]=>[7,6,4,5,8,3,1,2]
[5,3,6,8,2,4,1,7]=>[7,1,4,2,8,6,3,5]
[1,7,8,6,3,2,4,5]=>[5,4,2,3,6,8,7,1]
[7,1,2,5,3,8,4,6]=>[6,4,8,3,5,2,1,7]
[3,7,4,2,5,1,8,6]=>[6,8,1,5,2,4,7,3]
[1,8,3,4,5,7,2,6]=>[6,2,7,5,4,3,8,1]
[7,5,8,2,3,4,6,1]=>[1,6,4,3,2,8,5,7]
[4,7,5,8,2,3,6,1]=>[1,6,3,2,8,5,7,4]
[2,6,7,5,3,8,1,4]=>[4,1,8,3,5,7,6,2]
[4,5,2,6,8,7,1,3]=>[3,1,7,8,6,2,5,4]
[4,5,2,6,8,3,1,7]=>[7,1,3,8,6,2,5,4]
[4,6,5,7,2,1,3,8]=>[8,3,1,2,7,5,6,4]
[6,7,5,2,1,4,3,8]=>[8,3,4,1,2,5,7,6]
[3,1,2,5,8,6,7,4]=>[4,7,6,8,5,2,1,3]
[7,6,2,5,4,3,8,1]=>[1,8,3,4,5,2,6,7]
[8,2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2,8]
[4,1,2,5,7,8,6,3]=>[3,6,8,7,5,2,1,4]
[4,5,7,6,2,1,3,8]=>[8,3,1,2,6,7,5,4]
[7,8,2,6,5,4,3,1]=>[1,3,4,5,6,2,8,7]
[5,3,7,8,4,2,1,6]=>[6,1,2,4,8,7,3,5]
[7,3,6,8,1,5,4,2]=>[2,4,5,1,8,6,3,7]
[3,4,6,7,2,5,1,8]=>[8,1,5,2,7,6,4,3]
[7,5,8,2,4,3,6,1]=>[1,6,3,4,2,8,5,7]
[6,5,8,2,3,4,1,7]=>[7,1,4,3,2,8,5,6]
[8,1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1,8]
[5,8,7,2,4,3,6,1]=>[1,6,3,4,2,7,8,5]
[1,7,2,4,8,5,6,3]=>[3,6,5,8,4,2,7,1]
[5,8,2,3,7,4,6,1]=>[1,6,4,7,3,2,8,5]
[7,8,2,3,5,4,6,1]=>[1,6,4,5,3,2,8,7]
[8,4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4,8]
[8,7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7,8]
[1,7,6,8,4,5,3,2]=>[2,3,5,4,8,6,7,1]
[2,7,3,1,8,5,6,4]=>[4,6,5,8,1,3,7,2]
[3,8,5,2,1,6,7,4]=>[4,7,6,1,2,5,8,3]
[6,4,5,2,1,8,7,3]=>[3,7,8,1,2,5,4,6]
[7,4,1,3,8,6,2,5]=>[5,2,6,8,3,1,4,7]
[6,1,2,4,7,8,5,3]=>[3,5,8,7,4,2,1,6]
[4,3,8,6,1,5,7,2]=>[2,7,5,1,6,8,3,4]
[2,6,3,4,8,5,7,1]=>[1,7,5,8,4,3,6,2]
[5,3,8,2,1,7,4,6]=>[6,4,7,1,2,8,3,5]
[6,5,4,2,3,8,7,1]=>[1,7,8,3,2,4,5,6]
[1,5,3,4,2,8,6,7]=>[7,6,8,2,4,3,5,1]
[5,6,4,1,2,8,3,7]=>[7,3,8,2,1,4,6,5]
[2,1,5,3,7,6,4,8]=>[8,4,6,7,3,5,1,2]
[2,5,1,3,8,6,4,7]=>[7,4,6,8,3,1,5,2]
[2,1,4,7,3,6,5,8]=>[8,5,6,3,7,4,1,2]
[2,1,7,3,5,4,6,8]=>[8,6,4,5,3,7,1,2]
[2,8,6,1,5,7,4,3]=>[3,4,7,5,1,6,8,2]
[8,3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3,8]
[8,3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3,8]
[6,4,1,5,7,8,2,3]=>[3,2,8,7,5,1,4,6]
[4,8,7,1,2,5,3,6]=>[6,3,5,2,1,7,8,4]
[8,7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7,8]
[6,1,7,3,8,2,4,5]=>[5,4,2,8,3,7,1,6]
[7,1,8,6,4,2,3,5]=>[5,3,2,4,6,8,1,7]
[8,6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6,8]
[1,5,6,4,3,8,2,7]=>[7,2,8,3,4,6,5,1]
[4,1,3,5,8,2,6,7]=>[7,6,2,8,5,3,1,4]
[1,6,2,4,5,3,8,7]=>[7,8,3,5,4,2,6,1]
[1,8,2,4,6,5,7,3]=>[3,7,5,6,4,2,8,1]
[1,8,2,6,4,3,7,5]=>[5,7,3,4,6,2,8,1]
[1,6,4,3,8,7,2,5]=>[5,2,7,8,3,4,6,1]
[8,4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4,8]
[3,8,2,4,6,5,7,1]=>[1,7,5,6,4,2,8,3]
[8,4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4,8]
[6,8,7,1,4,2,3,5]=>[5,3,2,4,1,7,8,6]
[6,8,7,4,5,2,1,3]=>[3,1,2,5,4,7,8,6]
[1,8,5,7,4,6,3,2]=>[2,3,6,4,7,5,8,1]
[1,4,7,6,8,3,5,2]=>[2,5,3,8,6,7,4,1]
[1,7,2,8,6,5,3,4]=>[4,3,5,6,8,2,7,1]
[5,7,1,6,4,2,3,8]=>[8,3,2,4,6,1,7,5]
[4,8,2,7,5,1,6,3]=>[3,6,1,5,7,2,8,4]
[2,8,4,6,7,1,5,3]=>[3,5,1,7,6,4,8,2]
[3,8,5,1,4,2,6,7]=>[7,6,2,4,1,5,8,3]
[1,7,6,2,5,3,8,4]=>[4,8,3,5,2,6,7,1]
[1,7,5,2,4,3,8,6]=>[6,8,3,4,2,5,7,1]
[2,8,5,1,4,3,6,7]=>[7,6,3,4,1,5,8,2]
[7,1,2,4,5,3,8,6]=>[6,8,3,5,4,2,1,7]
[7,6,8,1,2,4,5,3]=>[3,5,4,2,1,8,6,7]
[7,1,3,5,2,4,8,6]=>[6,8,4,2,5,3,1,7]
[2,5,7,1,3,6,8,4]=>[4,8,6,3,1,7,5,2]
[3,6,5,2,8,4,7,1]=>[1,7,4,8,2,5,6,3]
[3,8,7,1,4,6,2,5]=>[5,2,6,4,1,7,8,3]
[3,4,8,6,1,7,2,5]=>[5,2,7,1,6,8,4,3]
[4,7,6,2,3,5,8,1]=>[1,8,5,3,2,6,7,4]
[4,7,1,6,2,5,8,3]=>[3,8,5,2,6,1,7,4]
[5,4,1,8,2,6,7,3]=>[3,7,6,2,8,1,4,5]
[2,7,6,1,5,3,4,8]=>[8,4,3,5,1,6,7,2]
[7,2,4,5,3,8,6,1]=>[1,6,8,3,5,4,2,7]
[2,7,1,4,6,5,8,3]=>[3,8,5,6,4,1,7,2]
[6,3,5,7,8,4,1,2]=>[2,1,4,8,7,5,3,6]
[7,6,3,5,4,8,2,1]=>[1,2,8,4,5,3,6,7]
[4,2,6,8,3,7,5,1]=>[1,5,7,3,8,6,2,4]
[5,4,8,1,3,6,2,7]=>[7,2,6,3,1,8,4,5]
[5,2,4,8,3,6,7,1]=>[1,7,6,3,8,4,2,5]
[3,4,2,5,7,1,6,8]=>[8,6,1,7,5,2,4,3]
[3,2,4,6,1,7,5,8]=>[8,5,7,1,6,4,2,3]
[3,7,6,2,1,5,4,8]=>[8,4,5,1,2,6,7,3]
[2,6,8,3,4,1,5,7]=>[7,5,1,4,3,8,6,2]
[3,1,6,5,8,4,2,7]=>[7,2,4,8,5,6,1,3]
[2,7,1,4,8,5,3,6]=>[6,3,5,8,4,1,7,2]
[5,1,3,8,6,4,7,2]=>[2,7,4,6,8,3,1,5]
[1,5,6,7,4,2,8,3]=>[3,8,2,4,7,6,5,1]
[6,1,7,8,3,5,4,2]=>[2,4,5,3,8,7,1,6]
[6,4,1,3,5,7,8,2]=>[2,8,7,5,3,1,4,6]
[4,3,5,7,8,6,1,2]=>[2,1,6,8,7,5,3,4]
[7,2,1,3,6,4,5,8]=>[8,5,4,6,3,1,2,7]
[7,4,3,6,1,5,8,2]=>[2,8,5,1,6,3,4,7]
[6,2,1,3,5,7,8,4]=>[4,8,7,5,3,1,2,6]
[2,3,7,6,1,4,5,8]=>[8,5,4,1,6,7,3,2]
[7,8,2,1,3,5,6,4]=>[4,6,5,3,1,2,8,7]
[3,6,2,1,5,7,8,4]=>[4,8,7,5,1,2,6,3]
[7,2,4,1,5,6,3,8]=>[8,3,6,5,1,4,2,7]
[3,1,2,5,7,6,8,4]=>[4,8,6,7,5,2,1,3]
[5,1,7,3,2,6,8,4]=>[4,8,6,2,3,7,1,5]
[4,7,2,3,5,1,6,8]=>[8,6,1,5,3,2,7,4]
[4,8,2,3,7,5,1,6]=>[6,1,5,7,3,2,8,4]
[8,7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7,8]
[8,6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6,8]
[8,1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1,8]
[7,6,2,8,4,5,1,3]=>[3,1,5,4,8,2,6,7]
[2,5,7,3,1,6,4,8]=>[8,4,6,1,3,7,5,2]
[8,2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2,8]
[2,4,3,6,1,5,7,8]=>[8,7,5,1,6,3,4,2]
[8,7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7,8]
[4,5,6,8,2,1,3,7]=>[7,3,1,2,8,6,5,4]
[8,7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7,8]
[2,1,5,7,4,6,3,8]=>[8,3,6,4,7,5,1,2]
[6,8,1,5,7,3,2,4]=>[4,2,3,7,5,1,8,6]
[8,2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2,8]
[5,8,6,1,2,3,7,4]=>[4,7,3,2,1,6,8,5]
[5,4,8,6,1,3,7,2]=>[2,7,3,1,6,8,4,5]
[8,4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4,8]
[7,8,4,6,5,2,1,3]=>[3,1,2,5,6,4,8,7]
[7,2,6,4,1,5,8,3]=>[3,8,5,1,4,6,2,7]
[5,2,7,1,6,3,8,4]=>[4,8,3,6,1,7,2,5]
[1,7,2,5,3,6,8,4]=>[4,8,6,3,5,2,7,1]
[7,4,6,3,2,5,1,8]=>[8,1,5,2,3,6,4,7]
[6,2,5,7,1,8,3,4]=>[4,3,8,1,7,5,2,6]
[4,1,3,5,7,2,6,8]=>[8,6,2,7,5,3,1,4]
[4,1,8,2,7,6,5,3]=>[3,5,6,7,2,8,1,4]
[1,5,8,4,3,6,2,7]=>[7,2,6,3,4,8,5,1]
[1,5,2,6,7,4,8,3]=>[3,8,4,7,6,2,5,1]
[6,1,7,3,2,5,4,8]=>[8,4,5,2,3,7,1,6]
[1,6,5,3,8,7,4,2]=>[2,4,7,8,3,5,6,1]
[4,1,7,5,6,8,2,3]=>[3,2,8,6,5,7,1,4]
[7,8,2,3,1,4,6,5]=>[5,6,4,1,3,2,8,7]
[6,2,3,8,1,4,7,5]=>[5,7,4,1,8,3,2,6]
[5,2,7,6,1,4,8,3]=>[3,8,4,1,6,7,2,5]
[3,7,6,2,1,4,5,8]=>[8,5,4,1,2,6,7,3]
[5,1,7,6,4,3,8,2]=>[2,8,3,4,6,7,1,5]
[1,5,8,3,7,2,4,6]=>[6,4,2,7,3,8,5,1]
[5,8,2,6,7,3,1,4]=>[4,1,3,7,6,2,8,5]
[4,7,2,3,6,1,5,8]=>[8,5,1,6,3,2,7,4]
[5,1,3,7,6,8,2,4]=>[4,2,8,6,7,3,1,5]
[1,6,8,7,2,5,4,3]=>[3,4,5,2,7,8,6,1]
[3,4,1,6,5,2,8,7]=>[7,8,2,5,6,1,4,3]
[5,3,1,6,7,2,8,4]=>[4,8,2,7,6,1,3,5]
[4,1,8,5,3,7,6,2]=>[2,6,7,3,5,8,1,4]
[3,8,4,5,2,6,1,7]=>[7,1,6,2,5,4,8,3]
[5,1,6,8,7,4,3,2]=>[2,3,4,7,8,6,1,5]
[3,8,2,4,5,6,1,7]=>[7,1,6,5,4,2,8,3]
[1,4,8,7,6,3,5,2]=>[2,5,3,6,7,8,4,1]
[8,1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1,8]
[4,5,8,6,2,3,1,7]=>[7,1,3,2,6,8,5,4]
[5,4,7,1,8,2,3,6]=>[6,3,2,8,1,7,4,5]
[4,3,2,7,6,8,1,5]=>[5,1,8,6,7,2,3,4]
[4,8,3,2,1,6,5,7]=>[7,5,6,1,2,3,8,4]
[1,4,3,2,7,5,6,8]=>[8,6,5,7,2,3,4,1]
[4,3,2,8,6,7,1,5]=>[5,1,7,6,8,2,3,4]
[4,3,1,2,5,7,8,6]=>[6,8,7,5,2,1,3,4]
[2,5,3,6,1,4,8,7]=>[7,8,4,1,6,3,5,2]
[3,4,2,1,5,8,6,7]=>[7,6,8,5,1,2,4,3]
[2,5,3,7,1,4,8,6]=>[6,8,4,1,7,3,5,2]
[2,5,3,6,1,7,8,4]=>[4,8,7,1,6,3,5,2]
[5,4,3,1,7,6,8,2]=>[2,8,6,7,1,3,4,5]
[4,5,2,7,1,8,3,6]=>[6,3,8,1,7,2,5,4]
[6,5,2,8,7,4,1,3]=>[3,1,4,7,8,2,5,6]
[3,1,8,4,5,2,7,6]=>[6,7,2,5,4,8,1,3]
[2,3,7,6,1,8,4,5]=>[5,4,8,1,6,7,3,2]
[4,8,5,2,1,3,7,6]=>[6,7,3,1,2,5,8,4]
[5,8,4,2,1,3,7,6]=>[6,7,3,1,2,4,8,5]
[4,6,7,5,2,3,1,8]=>[8,1,3,2,5,7,6,4]
[6,2,5,3,1,8,7,4]=>[4,7,8,1,3,5,2,6]
[6,2,5,3,8,7,1,4]=>[4,1,7,8,3,5,2,6]
[6,4,5,3,8,7,1,2]=>[2,1,7,8,3,5,4,6]
[1,6,4,5,8,7,3,2]=>[2,3,7,8,5,4,6,1]
[8,4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4,8]
[8,2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2,8]
[8,2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2,8]
[8,2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2,8]
[8,4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4,8]
[6,4,5,8,7,3,1,2]=>[2,1,3,7,8,5,4,6]
[6,2,8,7,5,3,1,4]=>[4,1,3,5,7,8,2,6]
[4,6,5,3,8,7,1,2]=>[2,1,7,8,3,5,6,4]
[6,7,2,4,5,3,1,8]=>[8,1,3,5,4,2,7,6]
[6,8,7,4,5,3,1,2]=>[2,1,3,5,4,7,8,6]
[2,8,4,7,5,3,1,6]=>[6,1,3,5,7,4,8,2]
[5,8,7,4,6,3,1,2]=>[2,1,3,6,4,7,8,5]
[6,5,8,4,7,2,1,3]=>[3,1,2,7,4,8,5,6]
[4,8,6,2,5,7,1,3]=>[3,1,7,5,2,6,8,4]
[8,1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1,8]
[6,8,1,2,4,7,3,5]=>[5,3,7,4,2,1,8,6]
[8,1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1,8]
[5,2,8,6,1,4,7,3]=>[3,7,4,1,6,8,2,5]
[8,6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6,8]
[5,3,7,8,1,2,6,4]=>[4,6,2,1,8,7,3,5]
[8,6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6,8]
[6,1,2,8,3,7,5,4]=>[4,5,7,3,8,2,1,6]
[7,8,1,2,6,4,3,5]=>[5,3,4,6,2,1,8,7]
[8,7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7,8]
[4,6,2,3,8,7,1,5]=>[5,1,7,8,3,2,6,4]
[6,7,4,2,8,5,1,3]=>[3,1,5,8,2,4,7,6]
[6,4,2,8,5,7,1,3]=>[3,1,7,5,8,2,4,6]
[8,3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3,8]
[8,6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6,8]
[8,7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7,8]
[4,6,1,3,5,8,2,7]=>[7,2,8,5,3,1,6,4]
[4,5,1,3,8,7,2,6]=>[6,2,7,8,3,1,5,4]
[6,2,7,1,8,3,4,5]=>[5,4,3,8,1,7,2,6]
[6,4,5,8,1,7,2,3]=>[3,2,7,1,8,5,4,6]
[6,2,8,5,1,4,7,3]=>[3,7,4,1,5,8,2,6]
[2,4,7,6,1,8,3,5]=>[5,3,8,1,6,7,4,2]
[7,4,5,8,6,3,2,1]=>[1,2,3,6,8,5,4,7]
[1,6,2,3,8,5,7,4]=>[4,7,5,8,3,2,6,1]
[3,4,2,6,8,5,7,1]=>[1,7,5,8,6,2,4,3]
[1,6,3,2,5,4,8,7]=>[7,8,4,5,2,3,6,1]
[7,1,3,4,5,2,6,8]=>[8,6,2,5,4,3,1,7]
[7,3,1,6,5,8,2,4]=>[4,2,8,5,6,1,3,7]
[6,1,2,7,4,3,5,8]=>[8,5,3,4,7,2,1,6]
[2,7,3,6,5,8,4,1]=>[1,4,8,5,6,3,7,2]
[1,6,7,5,3,2,8,4]=>[4,8,2,3,5,7,6,1]
[7,3,4,6,1,8,2,5]=>[5,2,8,1,6,4,3,7]
[3,7,4,1,2,8,6,5]=>[5,6,8,2,1,4,7,3]
[3,7,4,1,2,6,8,5]=>[5,8,6,2,1,4,7,3]
[5,7,1,2,4,6,8,3]=>[3,8,6,4,2,1,7,5]
[7,4,1,3,6,8,2,5]=>[5,2,8,6,3,1,4,7]
[6,8,1,2,7,3,4,5]=>[5,4,3,7,2,1,8,6]
[1,6,2,8,7,3,4,5]=>[5,4,3,7,8,2,6,1]
[1,6,8,5,7,4,3,2]=>[2,3,4,7,5,8,6,1]
[3,8,1,2,4,7,6,5]=>[5,6,7,4,2,1,8,3]
[1,4,5,7,3,6,8,2]=>[2,8,6,3,7,5,4,1]
[4,6,8,7,1,5,3,2]=>[2,3,5,1,7,8,6,4]
[1,3,8,7,5,2,6,4]=>[4,6,2,5,7,8,3,1]
[8,7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7,8]
[3,2,1,6,4,5,8,7]=>[7,8,5,4,6,1,2,3]
[3,2,4,5,7,1,8,6]=>[6,8,1,7,5,4,2,3]
[3,2,4,6,1,7,8,5]=>[5,8,7,1,6,4,2,3]
[3,2,4,6,1,8,5,7]=>[7,5,8,1,6,4,2,3]
[1,4,5,7,3,6,2,8]=>[8,2,6,3,7,5,4,1]
[2,3,8,1,4,6,5,7]=>[7,5,6,4,1,8,3,2]
[3,6,2,4,7,5,8,1]=>[1,8,5,7,4,2,6,3]
[3,1,8,4,6,2,5,7]=>[7,5,2,6,4,8,1,3]
[4,2,7,3,5,8,1,6]=>[6,1,8,5,3,7,2,4]
[3,1,8,4,5,6,2,7]=>[7,2,6,5,4,8,1,3]
[4,2,7,8,6,3,1,5]=>[5,1,3,6,8,7,2,4]
[7,1,4,2,8,6,3,5]=>[5,3,6,8,2,4,1,7]
[2,3,7,4,8,1,6,5]=>[5,6,1,8,4,7,3,2]
[7,1,3,6,8,4,5,2]=>[2,5,4,8,6,3,1,7]
[7,4,3,1,2,6,8,5]=>[5,8,6,2,1,3,4,7]
[1,6,3,5,8,7,4,2]=>[2,4,7,8,5,3,6,1]
[8,4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4,8]
[7,3,2,6,8,4,5,1]=>[1,5,4,8,6,2,3,7]
[2,4,5,7,1,6,8,3]=>[3,8,6,1,7,5,4,2]
[8,4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4,8]
[1,4,2,7,5,6,3,8]=>[8,3,6,5,7,2,4,1]
[8,1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1,8]
[4,3,2,8,7,5,6,1]=>[1,6,5,7,8,2,3,4]
[5,2,4,8,7,3,6,1]=>[1,6,3,7,8,4,2,5]
[1,3,8,7,4,5,2,6]=>[6,2,5,4,7,8,3,1]
[5,1,4,2,6,3,7,8]=>[8,7,3,6,2,4,1,5]
[7,1,2,4,6,3,5,8]=>[8,5,3,6,4,2,1,7]
[1,6,5,2,4,3,7,8]=>[8,7,3,4,2,5,6,1]
[1,6,5,3,4,7,2,8]=>[8,2,7,4,3,5,6,1]
[7,8,2,3,5,6,4,1]=>[1,4,6,5,3,2,8,7]
[7,1,3,4,6,5,2,8]=>[8,2,5,6,4,3,1,7]
[6,1,3,5,4,7,2,8]=>[8,2,7,4,5,3,1,6]
[4,1,5,7,8,6,2,3]=>[3,2,6,8,7,5,1,4]
[6,1,4,8,2,3,7,5]=>[5,7,3,2,8,4,1,6]
[7,6,2,3,5,8,4,1]=>[1,4,8,5,3,2,6,7]
[2,8,5,7,6,3,4,1]=>[1,4,3,6,7,5,8,2]
[2,5,7,8,6,4,1,3]=>[3,1,4,6,8,7,5,2]
[7,4,1,6,2,5,8,3]=>[3,8,5,2,6,1,4,7]
[8,7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7,8]
[8,1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1,8]
[8,4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4,8]
[1,7,5,4,6,2,3,8]=>[8,3,2,6,4,5,7,1]
[6,2,7,5,3,1,4,8]=>[8,4,1,3,5,7,2,6]
[6,1,7,4,8,5,2,3]=>[3,2,5,8,4,7,1,6]
[8,2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2,8]
[7,4,1,8,6,2,5,3]=>[3,5,2,6,8,1,4,7]
[1,8,6,2,7,5,3,4]=>[4,3,5,7,2,6,8,1]
[2,8,5,1,7,6,3,4]=>[4,3,6,7,1,5,8,2]
[4,8,7,1,6,2,5,3]=>[3,5,2,6,1,7,8,4]
[5,2,8,6,4,3,1,7]=>[7,1,3,4,6,8,2,5]
[1,8,3,7,5,4,2,6]=>[6,2,4,5,7,3,8,1]
[3,8,7,1,6,2,4,5]=>[5,4,2,6,1,7,8,3]
[2,8,4,3,1,7,5,6]=>[6,5,7,1,3,4,8,2]
[7,3,6,8,5,4,2,1]=>[1,2,4,5,8,6,3,7]
[5,6,2,4,8,7,3,1]=>[1,3,7,8,4,2,6,5]
[3,6,5,8,4,1,2,7]=>[7,2,1,4,8,5,6,3]
[8,5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5,8]
[7,8,1,4,5,6,2,3]=>[3,2,6,5,4,1,8,7]
[8,3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3,8]
[8,1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1,8]
[1,2,6,7,8,3,5,4]=>[4,5,3,8,7,6,2,1]
[1,2,4,8,6,7,3,5]=>[5,3,7,6,8,4,2,1]
[8,1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1,8]
[7,1,2,6,5,8,3,4]=>[4,3,8,5,6,2,1,7]
[2,7,1,4,5,6,8,3]=>[3,8,6,5,4,1,7,2]
[5,4,7,8,6,2,3,1]=>[1,3,2,6,8,7,4,5]
[3,7,5,6,4,8,2,1]=>[1,2,8,4,6,5,7,3]
[7,4,8,3,5,6,2,1]=>[1,2,6,5,3,8,4,7]
[3,1,8,6,4,5,7,2]=>[2,7,5,4,6,8,1,3]
[2,6,1,4,7,5,8,3]=>[3,8,5,7,4,1,6,2]
[3,1,5,7,2,6,8,4]=>[4,8,6,2,7,5,1,3]
[3,1,7,5,2,6,8,4]=>[4,8,6,2,5,7,1,3]
[3,2,7,5,1,6,8,4]=>[4,8,6,1,5,7,2,3]
[5,2,7,3,1,6,8,4]=>[4,8,6,1,3,7,2,5]
[6,7,2,1,3,4,8,5]=>[5,8,4,3,1,2,7,6]
[4,6,3,1,2,7,8,5]=>[5,8,7,2,1,3,6,4]
[5,3,4,6,8,1,7,2]=>[2,7,1,8,6,4,3,5]
[4,5,6,8,2,7,1,3]=>[3,1,7,2,8,6,5,4]
[1,7,2,5,8,4,6,3]=>[3,6,4,8,5,2,7,1]
[4,7,1,3,8,5,2,6]=>[6,2,5,8,3,1,7,4]
[2,5,3,8,7,1,4,6]=>[6,4,1,7,8,3,5,2]
[5,1,3,7,6,8,4,2]=>[2,4,8,6,7,3,1,5]
[5,7,2,4,6,8,3,1]=>[1,3,8,6,4,2,7,5]
[8,2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2,8]
[2,3,8,1,5,4,6,7]=>[7,6,4,5,1,8,3,2]
[2,3,5,6,8,4,7,1]=>[1,7,4,8,6,5,3,2]
[2,4,5,8,3,6,7,1]=>[1,7,6,3,8,5,4,2]
[3,1,6,4,2,7,5,8]=>[8,5,7,2,4,6,1,3]
[4,5,7,8,3,6,1,2]=>[2,1,6,3,8,7,5,4]
[8,4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4,8]
[4,1,7,5,3,6,8,2]=>[2,8,6,3,5,7,1,4]
[7,3,8,5,1,6,2,4]=>[4,2,6,1,5,8,3,7]
[4,6,3,1,2,5,8,7]=>[7,8,5,2,1,3,6,4]
[1,6,5,3,4,2,7,8]=>[8,7,2,4,3,5,6,1]
[1,7,5,4,2,3,8,6]=>[6,8,3,2,4,5,7,1]
[8,1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1,8]
[5,1,7,6,4,8,2,3]=>[3,2,8,4,6,7,1,5]
[5,7,3,6,2,4,8,1]=>[1,8,4,2,6,3,7,5]
[2,3,7,1,4,6,8,5]=>[5,8,6,4,1,7,3,2]
[2,6,5,1,7,4,8,3]=>[3,8,4,7,1,5,6,2]
[5,7,1,6,2,4,8,3]=>[3,8,4,2,6,1,7,5]
[6,1,2,4,7,5,8,3]=>[3,8,5,7,4,2,1,6]
[4,6,1,7,5,3,8,2]=>[2,8,3,5,7,1,6,4]
[6,1,7,5,3,4,8,2]=>[2,8,4,3,5,7,1,6]
[4,5,8,7,6,3,1,2]=>[2,1,3,6,7,8,5,4]
[8,7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7,8]
[8,1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1,8]
[5,2,3,6,8,1,4,7]=>[7,4,1,8,6,3,2,5]
[4,5,7,8,2,3,1,6]=>[6,1,3,2,8,7,5,4]
[6,7,1,2,4,3,5,8]=>[8,5,3,4,2,1,7,6]
[5,3,7,2,1,6,4,8]=>[8,4,6,1,2,7,3,5]
[7,1,2,8,6,3,4,5]=>[5,4,3,6,8,2,1,7]
[8,7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7,8]
[8,1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1,8]
[4,6,8,1,7,5,3,2]=>[2,3,5,7,1,8,6,4]
[8,1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1,8]
[6,1,5,7,4,2,3,8]=>[8,3,2,4,7,5,1,6]
[1,4,7,8,3,6,5,2]=>[2,5,6,3,8,7,4,1]
[1,4,6,7,5,2,3,8]=>[8,3,2,5,7,6,4,1]
[1,3,5,8,2,6,4,7]=>[7,4,6,2,8,5,3,1]
[4,7,1,3,5,2,8,6]=>[6,8,2,5,3,1,7,4]
[1,6,3,7,8,4,2,5]=>[5,2,4,8,7,3,6,1]
[5,3,8,4,6,7,2,1]=>[1,2,7,6,4,8,3,5]
[4,3,5,8,6,7,2,1]=>[1,2,7,6,8,5,3,4]
[3,2,7,8,5,6,4,1]=>[1,4,6,5,8,7,2,3]
[4,7,3,8,5,6,2,1]=>[1,2,6,5,8,3,7,4]
[7,1,4,8,5,6,3,2]=>[2,3,6,5,8,4,1,7]
[4,3,8,7,2,5,6,1]=>[1,6,5,2,7,8,3,4]
[1,7,3,8,6,4,5,2]=>[2,5,4,6,8,3,7,1]
[7,4,2,8,5,6,3,1]=>[1,3,6,5,8,2,4,7]
[3,4,8,2,6,7,5,1]=>[1,5,7,6,2,8,4,3]
[1,6,3,8,7,4,5,2]=>[2,5,4,7,8,3,6,1]
[1,4,5,8,7,6,2,3]=>[3,2,6,7,8,5,4,1]
[5,2,1,3,8,4,6,7]=>[7,6,4,8,3,1,2,5]
[1,4,3,5,8,2,6,7]=>[7,6,2,8,5,3,4,1]
[2,1,3,8,6,4,5,7]=>[7,5,4,6,8,3,1,2]
[1,3,6,4,5,8,2,7]=>[7,2,8,5,4,6,3,1]
[6,1,4,3,5,8,2,7]=>[7,2,8,5,3,4,1,6]
[6,5,1,3,8,2,4,7]=>[7,4,2,8,3,1,5,6]
[1,4,3,8,6,2,5,7]=>[7,5,2,6,8,3,4,1]
[4,1,3,8,6,2,5,7]=>[7,5,2,6,8,3,1,4]
[8,3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3,8]
[3,5,8,7,6,1,4,2]=>[2,4,1,6,7,8,5,3]
[7,1,5,4,6,3,8,2]=>[2,8,3,6,4,5,1,7]
[7,3,6,5,4,8,2,1]=>[1,2,8,4,5,6,3,7]
[6,4,7,8,3,5,1,2]=>[2,1,5,3,8,7,4,6]
[3,5,6,7,1,8,4,2]=>[2,4,8,1,7,6,5,3]
[3,5,2,4,8,6,7,1]=>[1,7,6,8,4,2,5,3]
[3,7,6,1,4,8,5,2]=>[2,5,8,4,1,6,7,3]
[8,4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4,8]
[2,5,3,1,4,6,7,8]=>[8,7,6,4,1,3,5,2]
[2,7,8,3,6,1,5,4]=>[4,5,1,6,3,8,7,2]
[1,7,8,3,6,2,5,4]=>[4,5,2,6,3,8,7,1]
[7,4,3,5,8,1,6,2]=>[2,6,1,8,5,3,4,7]
[7,3,6,4,1,8,5,2]=>[2,5,8,1,4,6,3,7]
[7,8,4,3,6,1,5,2]=>[2,5,1,6,3,4,8,7]
[7,1,6,4,3,8,5,2]=>[2,5,8,3,4,6,1,7]
[8,7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7,8]
[7,2,6,4,3,8,5,1]=>[1,5,8,3,4,6,2,7]
[1,7,5,4,3,8,2,6]=>[6,2,8,3,4,5,7,1]
[7,4,5,1,8,2,6,3]=>[3,6,2,8,1,5,4,7]
[6,3,1,2,8,5,4,7]=>[7,4,5,8,2,1,3,6]
[1,6,4,8,5,2,3,7]=>[7,3,2,5,8,4,6,1]
[2,6,3,8,4,5,1,7]=>[7,1,5,4,8,3,6,2]
[7,3,6,4,2,5,8,1]=>[1,8,5,2,4,6,3,7]
[7,2,8,5,3,6,1,4]=>[4,1,6,3,5,8,2,7]
[5,8,6,4,2,7,1,3]=>[3,1,7,2,4,6,8,5]
[7,1,5,3,8,2,4,6]=>[6,4,2,8,3,5,1,7]
[1,3,8,7,6,4,5,2]=>[2,5,4,6,7,8,3,1]
[1,6,4,5,2,8,3,7]=>[7,3,8,2,5,4,6,1]
[2,8,3,4,6,7,1,5]=>[5,1,7,6,4,3,8,2]
[7,2,3,4,6,1,5,8]=>[8,5,1,6,4,3,2,7]
[4,5,1,6,3,8,7,2]=>[2,7,8,3,6,1,5,4]
[3,7,5,2,8,1,6,4]=>[4,6,1,8,2,5,7,3]
[7,2,1,6,3,8,4,5]=>[5,4,8,3,6,1,2,7]
[4,5,8,1,7,3,2,6]=>[6,2,3,7,1,8,5,4]
[4,6,7,1,3,8,2,5]=>[5,2,8,3,1,7,6,4]
[2,6,3,1,4,7,8,5]=>[5,8,7,4,1,3,6,2]
[2,7,3,4,1,8,5,6]=>[6,5,8,1,4,3,7,2]
[4,8,5,3,2,1,6,7]=>[7,6,1,2,3,5,8,4]
[8,5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5,8]
[4,8,7,1,5,6,2,3]=>[3,2,6,5,1,7,8,4]
[8,6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6,8]
[7,4,3,6,8,5,2,1]=>[1,2,5,8,6,3,4,7]
[7,2,6,8,5,3,4,1]=>[1,4,3,5,8,6,2,7]
[6,8,2,7,5,3,4,1]=>[1,4,3,5,7,2,8,6]
[7,8,2,6,5,3,4,1]=>[1,4,3,5,6,2,8,7]
[2,5,3,4,7,8,6,1]=>[1,6,8,7,4,3,5,2]
[2,6,7,8,3,5,4,1]=>[1,4,5,3,8,7,6,2]
[8,6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6,8]
[7,4,8,5,3,6,1,2]=>[2,1,6,3,5,8,4,7]
[8,4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4,8]
[4,5,3,8,7,1,2,6]=>[6,2,1,7,8,3,5,4]
[8,5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5,8]
[7,5,8,2,4,3,1,6]=>[6,1,3,4,2,8,5,7]
[4,7,8,6,1,5,3,2]=>[2,3,5,1,6,8,7,4]
[1,4,3,5,7,2,6,8]=>[8,6,2,7,5,3,4,1]
[8,2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2,8]
[4,8,2,1,6,5,3,7]=>[7,3,5,6,1,2,8,4]
[4,6,2,1,8,5,3,7]=>[7,3,5,8,1,2,6,4]
[2,3,7,8,1,4,6,5]=>[5,6,4,1,8,7,3,2]
[8,2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2,8]
[7,1,3,8,2,4,6,5]=>[5,6,4,2,8,3,1,7]
[7,2,3,6,4,1,8,5]=>[5,8,1,4,6,3,2,7]
[6,5,2,4,1,8,3,7]=>[7,3,8,1,4,2,5,6]
[5,7,2,4,1,3,8,6]=>[6,8,3,1,4,2,7,5]
[6,2,5,4,1,8,3,7]=>[7,3,8,1,4,5,2,6]
[4,2,6,3,5,8,1,7]=>[7,1,8,5,3,6,2,4]
[2,7,8,6,3,5,1,4]=>[4,1,5,3,6,8,7,2]
[8,5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5,8]
[8,4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4,8]
[8,4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4,8]
[8,3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3,8]
[2,5,8,7,3,1,6,4]=>[4,6,1,3,7,8,5,2]
[8,1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1,8]
[1,6,2,5,7,4,8,3]=>[3,8,4,7,5,2,6,1]
[8,3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3,8]
[7,1,8,3,6,4,5,2]=>[2,5,4,6,3,8,1,7]
[7,1,2,6,3,5,8,4]=>[4,8,5,3,6,2,1,7]
[8,6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6,8]
[7,2,1,8,4,3,6,5]=>[5,6,3,4,8,1,2,7]
[6,7,2,1,4,5,8,3]=>[3,8,5,4,1,2,7,6]
[3,7,5,2,8,4,6,1]=>[1,6,4,8,2,5,7,3]
[1,7,2,5,6,4,8,3]=>[3,8,4,6,5,2,7,1]
[7,4,2,6,8,5,3,1]=>[1,3,5,8,6,2,4,7]
[8,5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5,8]
[7,4,1,2,8,5,6,3]=>[3,6,5,8,2,1,4,7]
[6,4,1,8,5,2,3,7]=>[7,3,2,5,8,1,4,6]
[8,4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4,8]
[7,3,4,1,6,8,5,2]=>[2,5,8,6,1,4,3,7]
[8,6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6,8]
[8,6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6,8]
[6,3,4,8,5,1,2,7]=>[7,2,1,5,8,4,3,6]
[8,5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5,8]
[7,2,6,8,3,4,5,1]=>[1,5,4,3,8,6,2,7]
[1,6,7,5,4,8,2,3]=>[3,2,8,4,5,7,6,1]
[3,5,8,4,6,2,7,1]=>[1,7,2,6,4,8,5,3]
[3,5,8,4,2,7,6,1]=>[1,6,7,2,4,8,5,3]
[7,4,6,2,5,3,8,1]=>[1,8,3,5,2,6,4,7]
[7,4,3,8,6,5,1,2]=>[2,1,5,6,8,3,4,7]
[7,2,6,5,8,3,1,4]=>[4,1,3,8,5,6,2,7]
[1,8,5,4,2,6,3,7]=>[7,3,6,2,4,5,8,1]
[5,4,2,6,8,3,1,7]=>[7,1,3,8,6,2,4,5]
[3,5,6,7,4,8,1,2]=>[2,1,8,4,7,6,5,3]
[5,7,3,6,2,1,4,8]=>[8,4,1,2,6,3,7,5]
[8,2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2,8]
[6,3,5,8,1,2,7,4]=>[4,7,2,1,8,5,3,6]
[2,3,8,5,4,6,1,7]=>[7,1,6,4,5,8,3,2]
[8,3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3,8]
[2,7,3,4,6,1,8,5]=>[5,8,1,6,4,3,7,2]
[7,3,5,4,1,8,2,6]=>[6,2,8,1,4,5,3,7]
[8,4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4,8]
[6,8,7,1,4,5,3,2]=>[2,3,5,4,1,7,8,6]
[8,1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1,8]
[6,8,7,1,2,5,4,3]=>[3,4,5,2,1,7,8,6]
[2,7,3,1,8,4,6,5]=>[5,6,4,8,1,3,7,2]
[4,7,2,5,6,1,3,8]=>[8,3,1,6,5,2,7,4]
[8,3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3,8]
[7,1,3,5,4,2,6,8]=>[8,6,2,4,5,3,1,7]
[5,3,1,7,6,2,4,8]=>[8,4,2,6,7,1,3,5]
[7,5,1,6,2,4,3,8]=>[8,3,4,2,6,1,5,7]
[5,8,6,1,2,4,3,7]=>[7,3,4,2,1,6,8,5]
[4,1,5,7,3,6,8,2]=>[2,8,6,3,7,5,1,4]
[1,4,5,7,6,8,2,3]=>[3,2,8,6,7,5,4,1]
[5,7,2,1,6,8,4,3]=>[3,4,8,6,1,2,7,5]
[2,6,3,1,7,8,5,4]=>[4,5,8,7,1,3,6,2]
[6,2,5,7,4,1,8,3]=>[3,8,1,4,7,5,2,6]
[3,6,1,8,7,4,5,2]=>[2,5,4,7,8,1,6,3]
[4,2,7,5,1,6,3,8]=>[8,3,6,1,5,7,2,4]
[4,1,3,5,7,6,8,2]=>[2,8,6,7,5,3,1,4]
[5,7,6,1,4,2,3,8]=>[8,3,2,4,1,6,7,5]
[4,8,7,5,2,1,6,3]=>[3,6,1,2,5,7,8,4]
[3,7,1,2,6,4,5,8]=>[8,5,4,6,2,1,7,3]
[4,1,7,6,3,5,8,2]=>[2,8,5,3,6,7,1,4]
[7,5,6,2,1,4,3,8]=>[8,3,4,1,2,6,5,7]
[6,5,1,4,7,2,8,3]=>[3,8,2,7,4,1,5,6]
[6,5,1,3,7,4,8,2]=>[2,8,4,7,3,1,5,6]
[4,7,1,3,5,6,8,2]=>[2,8,6,5,3,1,7,4]
[4,3,5,7,8,2,6,1]=>[1,6,2,8,7,5,3,4]
[7,1,6,2,5,8,4,3]=>[3,4,8,5,2,6,1,7]
[8,5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5,8]
[4,6,3,1,2,8,5,7]=>[7,5,8,2,1,3,6,4]
[4,2,5,1,7,3,6,8]=>[8,6,3,7,1,5,2,4]
[4,6,1,8,2,7,3,5]=>[5,3,7,2,8,1,6,4]
[7,2,4,8,1,6,5,3]=>[3,5,6,1,8,4,2,7]
[4,1,6,7,3,5,2,8]=>[8,2,5,3,7,6,1,4]
[7,2,5,4,1,3,6,8]=>[8,6,3,1,4,5,2,7]
[2,5,1,4,7,6,3,8]=>[8,3,6,7,4,1,5,2]
[4,7,5,1,6,2,3,8]=>[8,3,2,6,1,5,7,4]
[3,8,1,4,6,2,7,5]=>[5,7,2,6,4,1,8,3]
[3,8,7,4,2,5,1,6]=>[6,1,5,2,4,7,8,3]
[5,3,2,7,6,4,1,8]=>[8,1,4,6,7,2,3,5]
[5,3,7,4,6,2,1,8]=>[8,1,2,6,4,7,3,5]
[5,7,3,2,1,8,6,4]=>[4,6,8,1,2,3,7,5]
[5,7,6,3,2,1,8,4]=>[4,8,1,2,3,6,7,5]
[3,2,7,5,4,1,8,6]=>[6,8,1,4,5,7,2,3]
[1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]
[5,3,7,4,1,8,6,2]=>[2,6,8,1,4,7,3,5]
[7,3,5,4,1,6,8,2]=>[2,8,6,1,4,5,3,7]
[7,5,1,6,8,3,2,4]=>[4,2,3,8,6,1,5,7]
[5,3,1,7,6,8,2,4]=>[4,2,8,6,7,1,3,5]
[7,1,5,3,2,4,8,6]=>[6,8,4,2,3,5,1,7]
[1,3,6,2,5,4,7,8]=>[8,7,4,5,2,6,3,1]
[6,2,5,7,3,4,1,8]=>[8,1,4,3,7,5,2,6]
[8,6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6,8]
[6,7,1,5,3,2,8,4]=>[4,8,2,3,5,1,7,6]
[8,3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3,8]
[4,8,6,1,5,2,3,7]=>[7,3,2,5,1,6,8,4]
[3,1,4,8,5,7,6,2]=>[2,6,7,5,8,4,1,3]
[7,4,1,8,2,6,5,3]=>[3,5,6,2,8,1,4,7]
[7,1,8,3,5,2,6,4]=>[4,6,2,5,3,8,1,7]
[7,1,2,8,4,3,5,6]=>[6,5,3,4,8,2,1,7]
[5,6,2,1,4,7,3,8]=>[8,3,7,4,1,2,6,5]
[3,6,2,5,4,8,7,1]=>[1,7,8,4,5,2,6,3]
[3,1,5,8,4,2,7,6]=>[6,7,2,4,8,5,1,3]
[7,3,6,2,1,4,8,5]=>[5,8,4,1,2,6,3,7]
[7,3,1,4,2,8,5,6]=>[6,5,8,2,4,1,3,7]
[8,3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3,8]
[8,2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2,8]
[5,1,3,4,8,6,2,7]=>[7,2,6,8,4,3,1,5]
[2,7,4,1,8,5,3,6]=>[6,3,5,8,1,4,7,2]
[2,7,3,8,1,4,6,5]=>[5,6,4,1,8,3,7,2]
[7,1,5,2,4,3,6,8]=>[8,6,3,4,2,5,1,7]
[7,8,6,1,5,2,4,3]=>[3,4,2,5,1,6,8,7]
[8,5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5,8]
[6,8,7,3,2,1,5,4]=>[4,5,1,2,3,7,8,6]
[3,6,8,7,2,4,1,5]=>[5,1,4,2,7,8,6,3]
[5,7,3,6,2,1,8,4]=>[4,8,1,2,6,3,7,5]
[3,6,5,2,4,8,1,7]=>[7,1,8,4,2,5,6,3]
[5,2,6,1,7,4,3,8]=>[8,3,4,7,1,6,2,5]
[6,3,4,5,1,7,2,8]=>[8,2,7,1,5,4,3,6]
[3,4,6,2,1,5,7,8]=>[8,7,5,1,2,6,4,3]
[2,1,5,4,7,8,3,6]=>[6,3,8,7,4,5,1,2]
[2,6,1,7,5,3,8,4]=>[4,8,3,5,7,1,6,2]
[6,3,8,2,5,7,1,4]=>[4,1,7,5,2,8,3,6]
[7,5,8,2,3,6,1,4]=>[4,1,6,3,2,8,5,7]
[1,5,4,8,3,6,7,2]=>[2,7,6,3,8,4,5,1]
[4,8,6,5,2,3,7,1]=>[1,7,3,2,5,6,8,4]
[1,4,5,8,2,6,7,3]=>[3,7,6,2,8,5,4,1]
[7,3,5,2,8,6,1,4]=>[4,1,6,8,2,5,3,7]
[1,8,3,6,2,4,7,5]=>[5,7,4,2,6,3,8,1]
[1,8,7,5,6,4,2,3]=>[3,2,4,6,5,7,8,1]
[6,8,2,1,5,4,3,7]=>[7,3,4,5,1,2,8,6]
[1,3,6,5,8,7,2,4]=>[4,2,7,8,5,6,3,1]
[1,4,8,7,6,2,3,5]=>[5,3,2,6,7,8,4,1]
[1,4,5,2,7,6,3,8]=>[8,3,6,7,2,5,4,1]
[1,4,7,6,2,5,3,8]=>[8,3,5,2,6,7,4,1]
[1,3,7,2,6,5,4,8]=>[8,4,5,6,2,7,3,1]
[1,6,7,2,5,4,3,8]=>[8,3,4,5,2,7,6,1]
[7,5,6,3,2,8,1,4]=>[4,1,8,2,3,6,5,7]
[7,5,1,4,6,3,2,8]=>[8,2,3,6,4,1,5,7]
[7,5,1,2,6,3,4,8]=>[8,4,3,6,2,1,5,7]
[7,5,1,8,3,2,4,6]=>[6,4,2,3,8,1,5,7]
[7,5,1,4,6,3,8,2]=>[2,8,3,6,4,1,5,7]
[7,5,4,1,2,6,3,8]=>[8,3,6,2,1,4,5,7]
[7,5,1,4,2,8,3,6]=>[6,3,8,2,4,1,5,7]
[2,4,7,5,3,8,1,6]=>[6,1,8,3,5,7,4,2]
[7,5,2,1,4,8,3,6]=>[6,3,8,4,1,2,5,7]
[7,1,2,6,8,4,3,5]=>[5,3,4,8,6,2,1,7]
[8,5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5,8]
[5,4,1,8,6,7,3,2]=>[2,3,7,6,8,1,4,5]
[6,3,2,1,5,8,4,7]=>[7,4,8,5,1,2,3,6]
[4,3,5,6,2,8,1,7]=>[7,1,8,2,6,5,3,4]
[6,3,5,2,7,8,4,1]=>[1,4,8,7,2,5,3,6]
[4,5,3,1,6,8,2,7]=>[7,2,8,6,1,3,5,4]
[3,4,6,7,5,1,8,2]=>[2,8,1,5,7,6,4,3]
[7,4,1,2,5,6,8,3]=>[3,8,6,5,2,1,4,7]
[4,8,2,6,7,1,5,3]=>[3,5,1,7,6,2,8,4]
[6,5,8,3,7,1,4,2]=>[2,4,1,7,3,8,5,6]
[5,6,7,1,2,4,3,8]=>[8,3,4,2,1,7,6,5]
[4,8,6,5,3,7,1,2]=>[2,1,7,3,5,6,8,4]
[4,8,6,5,3,7,2,1]=>[1,2,7,3,5,6,8,4]
[4,1,5,7,6,2,8,3]=>[3,8,2,6,7,5,1,4]
[3,2,4,7,1,5,8,6]=>[6,8,5,1,7,4,2,3]
[4,7,5,8,6,2,3,1]=>[1,3,2,6,8,5,7,4]
[3,2,6,8,7,5,1,4]=>[4,1,5,7,8,6,2,3]
[7,2,4,5,8,1,6,3]=>[3,6,1,8,5,4,2,7]
[2,7,5,6,1,8,3,4]=>[4,3,8,1,6,5,7,2]
[4,2,3,5,7,8,6,1]=>[1,6,8,7,5,3,2,4]
[5,6,1,3,8,4,7,2]=>[2,7,4,8,3,1,6,5]
[5,4,7,1,6,2,3,8]=>[8,3,2,6,1,7,4,5]
[3,1,7,4,6,5,2,8]=>[8,2,5,6,4,7,1,3]
[2,7,4,3,5,1,8,6]=>[6,8,1,5,3,4,7,2]
[3,6,8,5,2,4,1,7]=>[7,1,4,2,5,8,6,3]
[2,8,6,7,1,4,5,3]=>[3,5,4,1,7,6,8,2]
[4,8,2,5,7,6,1,3]=>[3,1,6,7,5,2,8,4]
[5,1,4,7,2,6,3,8]=>[8,3,6,2,7,4,1,5]
[4,7,1,5,6,2,3,8]=>[8,3,2,6,5,1,7,4]
[4,2,5,6,3,7,1,8]=>[8,1,7,3,6,5,2,4]
[4,7,3,1,6,5,2,8]=>[8,2,5,6,1,3,7,4]
[7,2,6,4,3,5,1,8]=>[8,1,5,3,4,6,2,7]
[3,6,8,5,7,1,2,4]=>[4,2,1,7,5,8,6,3]
[2,6,1,8,7,3,5,4]=>[4,5,3,7,8,1,6,2]
[3,6,8,7,4,2,5,1]=>[1,5,2,4,7,8,6,3]
[1,5,2,4,6,7,3,8]=>[8,3,7,6,4,2,5,1]
[1,6,2,8,5,7,4,3]=>[3,4,7,5,8,2,6,1]
[1,8,4,7,2,5,6,3]=>[3,6,5,2,7,4,8,1]
[6,8,4,5,7,3,1,2]=>[2,1,3,7,5,4,8,6]
[7,5,6,1,3,8,2,4]=>[4,2,8,3,1,6,5,7]
[5,4,8,3,6,7,2,1]=>[1,2,7,6,3,8,4,5]
[5,8,4,6,3,7,2,1]=>[1,2,7,3,6,4,8,5]
[8,5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5,8]
[7,3,2,8,5,4,1,6]=>[6,1,4,5,8,2,3,7]
[2,6,8,3,5,7,4,1]=>[1,4,7,5,3,8,6,2]
[7,3,4,8,5,1,2,6]=>[6,2,1,5,8,4,3,7]
[7,4,8,1,3,5,2,6]=>[6,2,5,3,1,8,4,7]
[7,6,2,4,1,8,3,5]=>[5,3,8,1,4,2,6,7]
[8,3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3,8]
[8,2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2,8]
[8,2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2,8]
[6,8,4,1,7,3,5,2]=>[2,5,3,7,1,4,8,6]
[2,8,5,6,1,3,4,7]=>[7,4,3,1,6,5,8,2]
[7,6,8,5,1,2,4,3]=>[3,4,2,1,5,8,6,7]
[7,2,5,1,8,4,6,3]=>[3,6,4,8,1,5,2,7]
[2,8,5,3,6,4,1,7]=>[7,1,4,6,3,5,8,2]
[8,4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4,8]
[8,2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2,8]
[8,6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6,8]
[6,1,8,4,2,3,7,5]=>[5,7,3,2,4,8,1,6]
[7,1,8,5,2,6,3,4]=>[4,3,6,2,5,8,1,7]
[1,7,4,2,3,8,6,5]=>[5,6,8,3,2,4,7,1]
[2,8,4,3,7,1,6,5]=>[5,6,1,7,3,4,8,2]
[1,5,2,4,7,6,8,3]=>[3,8,6,7,4,2,5,1]
[1,5,4,3,8,2,7,6]=>[6,7,2,8,3,4,5,1]
[4,7,8,3,6,2,1,5]=>[5,1,2,6,3,8,7,4]
[3,4,2,6,8,1,7,5]=>[5,7,1,8,6,2,4,3]
[4,8,6,2,7,5,1,3]=>[3,1,5,7,2,6,8,4]
[1,7,5,3,2,6,8,4]=>[4,8,6,2,3,5,7,1]
[7,6,1,5,2,3,4,8]=>[8,4,3,2,5,1,6,7]
[7,5,1,6,2,3,4,8]=>[8,4,3,2,6,1,5,7]
[7,2,6,5,1,3,4,8]=>[8,4,3,1,5,6,2,7]
[6,1,7,2,4,5,8,3]=>[3,8,5,4,2,7,1,6]
[6,2,1,8,4,7,3,5]=>[5,3,7,4,8,1,2,6]
[7,6,2,8,3,4,5,1]=>[1,5,4,3,8,2,6,7]
[2,5,4,7,1,8,3,6]=>[6,3,8,1,7,4,5,2]
[6,2,7,4,3,8,5,1]=>[1,5,8,3,4,7,2,6]
[1,5,4,7,3,8,2,6]=>[6,2,8,3,7,4,5,1]
[1,2,6,7,3,5,4,8]=>[8,4,5,3,7,6,2,1]
[5,6,8,7,4,2,3,1]=>[1,3,2,4,7,8,6,5]
[2,3,8,5,7,4,1,6]=>[6,1,4,7,5,8,3,2]
[4,2,5,6,3,1,7,8]=>[8,7,1,3,6,5,2,4]
[5,2,3,7,6,8,4,1]=>[1,4,8,6,7,3,2,5]
[8,1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1,8]
[4,2,5,6,3,7,8,1]=>[1,8,7,3,6,5,2,4]
[3,7,8,4,5,6,1,2]=>[2,1,6,5,4,8,7,3]
[6,3,5,7,4,8,1,2]=>[2,1,8,4,7,5,3,6]
[5,6,3,8,1,7,4,2]=>[2,4,7,1,8,3,6,5]
[5,8,3,7,1,2,6,4]=>[4,6,2,1,7,3,8,5]
[4,5,2,1,8,3,6,7]=>[7,6,3,8,1,2,5,4]
[7,4,2,1,6,5,8,3]=>[3,8,5,6,1,2,4,7]
[8,5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5,8]
[5,4,3,6,1,8,2,7]=>[7,2,8,1,6,3,4,5]
[3,5,4,1,7,2,8,6]=>[6,8,2,7,1,4,5,3]
[1,3,8,6,7,4,5,2]=>[2,5,4,7,6,8,3,1]
[2,6,5,3,7,1,8,4]=>[4,8,1,7,3,5,6,2]
[5,7,1,3,6,4,8,2]=>[2,8,4,6,3,1,7,5]
[8,2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2,8]
[8,1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1,8]
[7,5,3,2,1,4,8,6]=>[6,8,4,1,2,3,5,7]
[6,1,7,2,5,8,4,3]=>[3,4,8,5,2,7,1,6]
[2,6,8,4,5,3,7,1]=>[1,7,3,5,4,8,6,2]
[8,2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2,8]
[3,4,2,8,5,7,1,6]=>[6,1,7,5,8,2,4,3]
[1,5,3,6,4,2,8,7]=>[7,8,2,4,6,3,5,1]
[4,1,6,2,5,8,7,3]=>[3,7,8,5,2,6,1,4]
[1,8,6,3,7,4,5,2]=>[2,5,4,7,3,6,8,1]
[8,4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4,8]
[6,2,3,8,1,5,4,7]=>[7,4,5,1,8,3,2,6]
[3,8,6,5,4,7,1,2]=>[2,1,7,4,5,6,8,3]
[2,4,1,5,6,8,7,3]=>[3,7,8,6,5,1,4,2]
[4,5,7,1,6,2,8,3]=>[3,8,2,6,1,7,5,4]
[5,7,3,4,2,8,6,1]=>[1,6,8,2,4,3,7,5]
[5,8,3,4,2,7,6,1]=>[1,6,7,2,4,3,8,5]
[7,6,4,2,3,8,5,1]=>[1,5,8,3,2,4,6,7]
[3,5,6,8,2,4,7,1]=>[1,7,4,2,8,6,5,3]
[4,8,7,3,2,5,6,1]=>[1,6,5,2,3,7,8,4]
[3,7,4,2,6,8,5,1]=>[1,5,8,6,2,4,7,3]
[6,4,8,7,3,2,5,1]=>[1,5,2,3,7,8,4,6]
[5,6,2,8,7,4,3,1]=>[1,3,4,7,8,2,6,5]
[2,5,7,6,4,8,1,3]=>[3,1,8,4,6,7,5,2]
[2,5,6,4,8,7,1,3]=>[3,1,7,8,4,6,5,2]
[6,2,8,3,7,4,5,1]=>[1,5,4,7,3,8,2,6]
[3,7,5,6,4,2,8,1]=>[1,8,2,4,6,5,7,3]
[5,2,3,8,6,1,4,7]=>[7,4,1,6,8,3,2,5]
[1,4,3,8,5,6,2,7]=>[7,2,6,5,8,3,4,1]
[7,8,2,6,4,3,5,1]=>[1,5,3,4,6,2,8,7]
[4,5,8,7,2,3,6,1]=>[1,6,3,2,7,8,5,4]
[7,8,6,1,4,2,5,3]=>[3,5,2,4,1,6,8,7]
[8,3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3,8]
[2,7,1,4,6,8,5,3]=>[3,5,8,6,4,1,7,2]
[7,2,5,1,6,8,4,3]=>[3,4,8,6,1,5,2,7]
[7,6,2,5,8,3,4,1]=>[1,4,3,8,5,2,6,7]
[5,1,8,7,2,4,3,6]=>[6,3,4,2,7,8,1,5]
[5,8,1,3,6,7,4,2]=>[2,4,7,6,3,1,8,5]
[3,6,8,1,5,2,7,4]=>[4,7,2,5,1,8,6,3]
[7,3,6,8,1,5,2,4]=>[4,2,5,1,8,6,3,7]
[8,3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3,8]
[5,1,3,6,4,2,7,8]=>[8,7,2,4,6,3,1,5]
[6,1,2,4,7,5,3,8]=>[8,3,5,7,4,2,1,6]
[3,8,5,1,4,6,2,7]=>[7,2,6,4,1,5,8,3]
[6,2,8,5,7,4,1,3]=>[3,1,4,7,5,8,2,6]
[2,7,8,5,6,4,3,1]=>[1,3,4,6,5,8,7,2]
[8,4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4,8]
[3,1,5,8,7,4,2,6]=>[6,2,4,7,8,5,1,3]
[1,3,8,4,5,2,6,7]=>[7,6,2,5,4,8,3,1]
[8,3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3,8]
[7,8,5,1,2,6,3,4]=>[4,3,6,2,1,5,8,7]
[6,4,5,1,8,7,3,2]=>[2,3,7,8,1,5,4,6]
[8,6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6,8]
[7,2,8,4,6,5,3,1]=>[1,3,5,6,4,8,2,7]
[4,8,6,3,1,7,2,5]=>[5,2,7,1,3,6,8,4]
[3,1,8,4,5,7,2,6]=>[6,2,7,5,4,8,1,3]
[3,7,8,4,6,5,2,1]=>[1,2,5,6,4,8,7,3]
[7,8,6,1,4,3,5,2]=>[2,5,3,4,1,6,8,7]
[2,5,8,3,4,6,1,7]=>[7,1,6,4,3,8,5,2]
[7,8,4,3,6,1,2,5]=>[5,2,1,6,3,4,8,7]
[8,4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4,8]
[5,6,1,2,4,8,7,3]=>[3,7,8,4,2,1,6,5]
[4,3,6,2,5,7,1,8]=>[8,1,7,5,2,6,3,4]
[1,6,5,7,3,4,8,2]=>[2,8,4,3,7,5,6,1]
[5,2,8,6,7,4,1,3]=>[3,1,4,7,6,8,2,5]
[1,7,2,6,5,4,8,3]=>[3,8,4,5,6,2,7,1]
[5,4,8,3,7,6,2,1]=>[1,2,6,7,3,8,4,5]
[6,3,1,7,2,4,8,5]=>[5,8,4,2,7,1,3,6]
[8,1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1,8]
[8,5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5,8]
[4,7,2,1,3,8,5,6]=>[6,5,8,3,1,2,7,4]
[4,5,2,8,1,3,6,7]=>[7,6,3,1,8,2,5,4]
[8,2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2,8]
[8,4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4,8]
[4,5,8,3,1,2,6,7]=>[7,6,2,1,3,8,5,4]
[8,2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2,8]
[7,6,4,1,2,5,8,3]=>[3,8,5,2,1,4,6,7]
[7,6,3,2,5,8,4,1]=>[1,4,8,5,2,3,6,7]
[8,3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3,8]
[1,8,4,5,7,3,2,6]=>[6,2,3,7,5,4,8,1]
[6,1,3,2,8,7,5,4]=>[4,5,7,8,2,3,1,6]
[2,4,8,5,6,3,7,1]=>[1,7,3,6,5,8,4,2]
[7,2,1,3,8,4,6,5]=>[5,6,4,8,3,1,2,7]
[4,1,8,6,2,7,3,5]=>[5,3,7,2,6,8,1,4]
[1,7,3,8,6,5,2,4]=>[4,2,5,6,8,3,7,1]
[2,6,5,4,8,7,1,3]=>[3,1,7,8,4,5,6,2]
[5,6,7,1,3,2,4,8]=>[8,4,2,3,1,7,6,5]
[7,1,8,4,3,2,6,5]=>[5,6,2,3,4,8,1,7]
[8,1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1,8]
[7,4,1,6,8,5,3,2]=>[2,3,5,8,6,1,4,7]
[7,5,3,8,2,1,4,6]=>[6,4,1,2,8,3,5,7]
[6,5,3,7,2,8,1,4]=>[4,1,8,2,7,3,5,6]
[8,6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6,8]
[8,3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3,8]
[8,3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3,8]
[4,8,6,2,5,1,3,7]=>[7,3,1,5,2,6,8,4]
[6,2,8,7,3,5,1,4]=>[4,1,5,3,7,8,2,6]
[4,6,8,7,3,5,2,1]=>[1,2,5,3,7,8,6,4]
[3,8,2,5,7,6,4,1]=>[1,4,6,7,5,2,8,3]
[5,8,3,4,2,1,6,7]=>[7,6,1,2,4,3,8,5]
[6,5,8,3,2,4,7,1]=>[1,7,4,2,3,8,5,6]
[3,1,7,8,4,5,6,2]=>[2,6,5,4,8,7,1,3]
[3,2,7,8,4,5,6,1]=>[1,6,5,4,8,7,2,3]
[1,3,8,2,6,7,5,4]=>[4,5,7,6,2,8,3,1]
[3,1,7,2,6,8,5,4]=>[4,5,8,6,2,7,1,3]
[5,4,1,8,3,7,6,2]=>[2,6,7,3,8,1,4,5]
[3,8,6,4,1,2,5,7]=>[7,5,2,1,4,6,8,3]
[2,8,3,4,5,7,1,6]=>[6,1,7,5,4,3,8,2]
[1,8,5,2,7,6,4,3]=>[3,4,6,7,2,5,8,1]
[1,7,6,8,2,5,4,3]=>[3,4,5,2,8,6,7,1]
[1,7,8,6,2,5,4,3]=>[3,4,5,2,6,8,7,1]
[4,6,5,7,1,8,2,3]=>[3,2,8,1,7,5,6,4]
[7,5,3,6,8,4,2,1]=>[1,2,4,8,6,3,5,7]
[7,2,5,6,4,8,3,1]=>[1,3,8,4,6,5,2,7]
[7,4,6,2,8,5,3,1]=>[1,3,5,8,2,6,4,7]
[5,3,4,7,6,8,2,1]=>[1,2,8,6,7,4,3,5]
[5,3,4,8,2,1,7,6]=>[6,7,1,2,8,4,3,5]
[5,2,3,6,1,7,4,8]=>[8,4,7,1,6,3,2,5]
[7,8,4,6,5,1,2,3]=>[3,2,1,5,6,4,8,7]
[6,3,7,5,4,1,2,8]=>[8,2,1,4,5,7,3,6]
[1,6,3,4,2,5,8,7]=>[7,8,5,2,4,3,6,1]
[1,5,7,6,2,3,8,4]=>[4,8,3,2,6,7,5,1]
[1,4,3,7,6,2,5,8]=>[8,5,2,6,7,3,4,1]
[1,3,7,4,6,8,5,2]=>[2,5,8,6,4,7,3,1]
[1,5,3,4,7,2,8,6]=>[6,8,2,7,4,3,5,1]
[6,1,5,4,7,8,2,3]=>[3,2,8,7,4,5,1,6]
[6,7,1,5,2,3,4,8]=>[8,4,3,2,5,1,7,6]
[7,6,3,5,1,8,2,4]=>[4,2,8,1,5,3,6,7]
[2,7,3,6,1,4,8,5]=>[5,8,4,1,6,3,7,2]
[7,4,2,3,1,6,5,8]=>[8,5,6,1,3,2,4,7]
[5,6,2,1,7,4,3,8]=>[8,3,4,7,1,2,6,5]
[3,7,4,6,8,1,5,2]=>[2,5,1,8,6,4,7,3]
[4,1,5,6,2,8,7,3]=>[3,7,8,2,6,5,1,4]
[3,4,7,8,1,5,2,6]=>[6,2,5,1,8,7,4,3]
[4,8,3,1,7,6,2,5]=>[5,2,6,7,1,3,8,4]
[2,6,7,5,3,4,1,8]=>[8,1,4,3,5,7,6,2]
[2,4,1,7,5,6,8,3]=>[3,8,6,5,7,1,4,2]
[7,2,4,8,3,5,1,6]=>[6,1,5,3,8,4,2,7]
[4,7,6,3,2,1,5,8]=>[8,5,1,2,3,6,7,4]
[3,2,6,1,7,5,4,8]=>[8,4,5,7,1,6,2,3]
[5,6,1,4,3,8,7,2]=>[2,7,8,3,4,1,6,5]
[5,8,6,4,3,1,7,2]=>[2,7,1,3,4,6,8,5]
[4,1,3,7,8,6,5,2]=>[2,5,6,8,7,3,1,4]
[1,5,3,7,4,6,8,2]=>[2,8,6,4,7,3,5,1]
[1,7,4,5,6,2,8,3]=>[3,8,2,6,5,4,7,1]
[3,1,7,4,5,8,6,2]=>[2,6,8,5,4,7,1,3]
[4,7,1,5,2,8,6,3]=>[3,6,8,2,5,1,7,4]
[4,7,1,5,8,6,3,2]=>[2,3,6,8,5,1,7,4]
[1,4,2,8,6,7,5,3]=>[3,5,7,6,8,2,4,1]
[4,5,2,8,3,6,7,1]=>[1,7,6,3,8,2,5,4]
[4,7,5,1,2,3,8,6]=>[6,8,3,2,1,5,7,4]
[2,1,7,4,3,6,5,8]=>[8,5,6,3,4,7,1,2]
[5,2,8,6,4,3,7,1]=>[1,7,3,4,6,8,2,5]
[2,5,7,3,6,1,8,4]=>[4,8,1,6,3,7,5,2]
[4,7,3,6,1,5,2,8]=>[8,2,5,1,6,3,7,4]
[3,7,4,5,1,2,8,6]=>[6,8,2,1,5,4,7,3]
[4,7,6,1,8,5,3,2]=>[2,3,5,8,1,6,7,4]
[7,1,8,6,5,3,4,2]=>[2,4,3,5,6,8,1,7]
[1,8,4,6,2,5,7,3]=>[3,7,5,2,6,4,8,1]
[8,7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7,8]
[3,6,2,1,8,7,5,4]=>[4,5,7,8,1,2,6,3]
[2,8,5,7,3,1,6,4]=>[4,6,1,3,7,5,8,2]
[8,6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6,8]
[8,6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6,8]
[1,8,7,3,4,2,6,5]=>[5,6,2,4,3,7,8,1]
[8,7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7,8]
[1,7,2,4,6,8,5,3]=>[3,5,8,6,4,2,7,1]
[8,4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4,8]
[8,4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4,8]
[2,8,1,4,5,3,7,6]=>[6,7,3,5,4,1,8,2]
[2,7,6,8,3,4,1,5]=>[5,1,4,3,8,6,7,2]
[4,8,6,7,5,2,1,3]=>[3,1,2,5,7,6,8,4]
[6,1,7,8,3,2,5,4]=>[4,5,2,3,8,7,1,6]
[4,1,8,7,3,6,2,5]=>[5,2,6,3,7,8,1,4]
[5,2,7,4,3,8,1,6]=>[6,1,8,3,4,7,2,5]
[1,6,5,8,4,2,3,7]=>[7,3,2,4,8,5,6,1]
[1,6,4,5,3,8,2,7]=>[7,2,8,3,5,4,6,1]
[7,2,5,4,1,8,3,6]=>[6,3,8,1,4,5,2,7]
[4,8,6,2,1,5,3,7]=>[7,3,5,1,2,6,8,4]
[8,6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6,8]
[8,4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4,8]
[4,5,3,1,2,7,8,6]=>[6,8,7,2,1,3,5,4]
[2,5,4,6,3,8,1,7]=>[7,1,8,3,6,4,5,2]
[7,5,1,3,8,4,6,2]=>[2,6,4,8,3,1,5,7]
[2,7,6,8,4,5,1,3]=>[3,1,5,4,8,6,7,2]
[5,2,6,1,3,8,7,4]=>[4,7,8,3,1,6,2,5]
[3,1,4,8,5,7,2,6]=>[6,2,7,5,8,4,1,3]
[8,2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2,8]
[8,2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2,8]
[8,6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6,8]
[3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]
[7,2,1,6,5,8,3,4]=>[4,3,8,5,6,1,2,7]
[8,2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2,8]
[3,2,8,7,4,6,1,5]=>[5,1,6,4,7,8,2,3]
[4,3,1,2,5,8,6,7]=>[7,6,8,5,2,1,3,4]
[3,2,8,7,5,6,1,4]=>[4,1,6,5,7,8,2,3]
[6,5,2,4,8,3,1,7]=>[7,1,3,8,4,2,5,6]
[5,8,1,4,2,7,6,3]=>[3,6,7,2,4,1,8,5]
[7,6,1,8,3,5,4,2]=>[2,4,5,3,8,1,6,7]
[6,5,7,2,1,4,3,8]=>[8,3,4,1,2,7,5,6]
[8,6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6,8]
[7,1,8,5,6,3,2,4]=>[4,2,3,6,5,8,1,7]
[8,1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1,8]
[1,7,8,3,4,2,6,5]=>[5,6,2,4,3,8,7,1]
[2,7,3,4,8,1,6,5]=>[5,6,1,8,4,3,7,2]
[2,1,6,7,4,5,3,8]=>[8,3,5,4,7,6,1,2]
[5,7,1,4,6,2,3,8]=>[8,3,2,6,4,1,7,5]
[4,3,7,1,5,6,2,8]=>[8,2,6,5,1,7,3,4]
[7,4,3,6,8,5,1,2]=>[2,1,5,8,6,3,4,7]
[5,2,1,6,7,4,8,3]=>[3,8,4,7,6,1,2,5]
[5,2,4,6,1,8,7,3]=>[3,7,8,1,6,4,2,5]
[3,8,6,2,7,1,4,5]=>[5,4,1,7,2,6,8,3]
[3,1,7,5,2,6,4,8]=>[8,4,6,2,5,7,1,3]
[3,5,2,8,7,6,1,4]=>[4,1,6,7,8,2,5,3]
[7,4,2,6,1,8,5,3]=>[3,5,8,1,6,2,4,7]
[4,1,6,5,3,7,2,8]=>[8,2,7,3,5,6,1,4]
[1,3,6,5,8,4,2,7]=>[7,2,4,8,5,6,3,1]
[2,5,6,1,4,3,8,7]=>[7,8,3,4,1,6,5,2]
[6,3,4,8,5,7,1,2]=>[2,1,7,5,8,4,3,6]
[2,8,1,4,3,6,7,5]=>[5,7,6,3,4,1,8,2]
[2,4,3,7,8,1,6,5]=>[5,6,1,8,7,3,4,2]
[7,1,6,2,4,5,8,3]=>[3,8,5,4,2,6,1,7]
[8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8]
[8,2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2,8]
[4,7,1,2,6,8,3,5]=>[5,3,8,6,2,1,7,4]
[7,1,5,6,2,4,8,3]=>[3,8,4,2,6,5,1,7]
[8,4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4,8]
[3,8,1,2,5,4,6,7]=>[7,6,4,5,2,1,8,3]
[3,4,2,1,7,5,6,8]=>[8,6,5,7,1,2,4,3]
[3,5,2,8,1,4,6,7]=>[7,6,4,1,8,2,5,3]
[5,6,8,7,3,2,4,1]=>[1,4,2,3,7,8,6,5]
[4,6,8,7,2,3,5,1]=>[1,5,3,2,7,8,6,4]
[3,4,8,7,2,6,5,1]=>[1,5,6,2,7,8,4,3]
[6,2,4,7,8,3,1,5]=>[5,1,3,8,7,4,2,6]
[7,6,3,4,2,8,5,1]=>[1,5,8,2,4,3,6,7]
[3,4,2,8,1,7,5,6]=>[6,5,7,1,8,2,4,3]
[4,8,2,3,5,1,7,6]=>[6,7,1,5,3,2,8,4]
[8,2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2,8]
[5,6,3,4,8,7,1,2]=>[2,1,7,8,4,3,6,5]
[1,6,3,4,8,7,2,5]=>[5,2,7,8,4,3,6,1]
[1,4,6,5,2,3,8,7]=>[7,8,3,2,5,6,4,1]
[4,2,7,5,3,8,1,6]=>[6,1,8,3,5,7,2,4]
[1,4,7,6,3,5,8,2]=>[2,8,5,3,6,7,4,1]
[4,2,3,8,5,1,7,6]=>[6,7,1,5,8,3,2,4]
[8,3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3,8]
[8,3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3,8]
[8,7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7,8]
[1,4,7,6,5,2,8,3]=>[3,8,2,5,6,7,4,1]
[8,3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3,8]
[4,7,3,6,1,5,8,2]=>[2,8,5,1,6,3,7,4]
[1,6,4,7,2,3,5,8]=>[8,5,3,2,7,4,6,1]
[1,6,4,8,2,5,7,3]=>[3,7,5,2,8,4,6,1]
[6,2,8,5,3,4,7,1]=>[1,7,4,3,5,8,2,6]
[2,6,8,5,4,1,7,3]=>[3,7,1,4,5,8,6,2]
[2,6,7,5,4,1,8,3]=>[3,8,1,4,5,7,6,2]
[2,7,6,8,4,1,5,3]=>[3,5,1,4,8,6,7,2]
[1,4,7,3,5,6,2,8]=>[8,2,6,5,3,7,4,1]
[4,7,8,1,5,6,3,2]=>[2,3,6,5,1,8,7,4]
[7,2,8,1,5,6,3,4]=>[4,3,6,5,1,8,2,7]
[2,6,7,1,5,3,8,4]=>[4,8,3,5,1,7,6,2]
[5,3,1,4,7,8,6,2]=>[2,6,8,7,4,1,3,5]
[8,3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3,8]
[6,4,5,8,1,7,3,2]=>[2,3,7,1,8,5,4,6]
[4,2,1,7,6,8,3,5]=>[5,3,8,6,7,1,2,4]
[8,4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4,8]
[7,8,3,5,4,2,6,1]=>[1,6,2,4,5,3,8,7]
[3,7,8,5,2,4,6,1]=>[1,6,4,2,5,8,7,3]
[7,8,3,2,5,6,4,1]=>[1,4,6,5,2,3,8,7]
[3,2,7,8,5,4,6,1]=>[1,6,4,5,8,7,2,3]
[8,6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6,8]
[7,8,6,3,4,1,5,2]=>[2,5,1,4,3,6,8,7]
[8,6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6,8]
[8,6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6,8]
[8,5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5,8]
[1,6,3,5,7,2,4,8]=>[8,4,2,7,5,3,6,1]
[3,7,8,2,6,5,4,1]=>[1,4,5,6,2,8,7,3]
[8,3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3,8]
[8,5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5,8]
[8,6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6,8]
[2,6,8,4,1,5,3,7]=>[7,3,5,1,4,8,6,2]
[2,7,4,6,8,5,1,3]=>[3,1,5,8,6,4,7,2]
[5,4,1,2,3,7,6,8]=>[8,6,7,3,2,1,4,5]
[4,6,1,3,7,5,8,2]=>[2,8,5,7,3,1,6,4]
[4,7,5,6,8,2,1,3]=>[3,1,2,8,6,5,7,4]
[4,7,8,5,2,6,1,3]=>[3,1,6,2,5,8,7,4]
[4,5,3,1,7,8,6,2]=>[2,6,8,7,1,3,5,4]
[2,3,7,4,5,8,6,1]=>[1,6,8,5,4,7,3,2]
[2,3,6,4,8,5,7,1]=>[1,7,5,8,4,6,3,2]
[6,5,8,4,7,3,1,2]=>[2,1,3,7,4,8,5,6]
[2,3,6,4,8,7,5,1]=>[1,5,7,8,4,6,3,2]
[2,3,7,4,6,8,5,1]=>[1,5,8,6,4,7,3,2]
[8,1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1,8]
[6,8,5,3,1,2,4,7]=>[7,4,2,1,3,5,8,6]
[7,5,1,3,4,6,2,8]=>[8,2,6,4,3,1,5,7]
[8,6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6,8]
[4,5,2,3,6,8,1,7]=>[7,1,8,6,3,2,5,4]
[2,5,3,8,6,1,4,7]=>[7,4,1,6,8,3,5,2]
[7,2,3,1,5,4,6,8]=>[8,6,4,5,1,3,2,7]
[7,3,6,1,4,2,5,8]=>[8,5,2,4,1,6,3,7]
[3,7,4,1,6,8,2,5]=>[5,2,8,6,1,4,7,3]
[5,2,4,1,8,6,3,7]=>[7,3,6,8,1,4,2,5]
[5,7,4,2,8,3,1,6]=>[6,1,3,8,2,4,7,5]
[3,4,8,5,7,6,2,1]=>[1,2,6,7,5,8,4,3]
[4,2,3,6,7,5,8,1]=>[1,8,5,7,6,3,2,4]
[5,8,6,3,7,1,4,2]=>[2,4,1,7,3,6,8,5]
[8,3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3,8]
[8,1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1,8]
[7,3,2,4,5,8,6,1]=>[1,6,8,5,4,2,3,7]
[7,2,5,1,3,8,4,6]=>[6,4,8,3,1,5,2,7]
[7,6,2,5,3,4,8,1]=>[1,8,4,3,5,2,6,7]
[7,4,5,1,8,3,6,2]=>[2,6,3,8,1,5,4,7]
[7,1,5,3,8,6,2,4]=>[4,2,6,8,3,5,1,7]
[5,8,6,1,3,7,2,4]=>[4,2,7,3,1,6,8,5]
[2,3,6,4,8,7,1,5]=>[5,1,7,8,4,6,3,2]
[3,6,1,4,8,5,2,7]=>[7,2,5,8,4,1,6,3]
[1,7,2,5,8,3,6,4]=>[4,6,3,8,5,2,7,1]
[4,7,6,2,8,5,3,1]=>[1,3,5,8,2,6,7,4]
[7,4,6,3,1,5,8,2]=>[2,8,5,1,3,6,4,7]
[4,7,1,5,6,3,8,2]=>[2,8,3,6,5,1,7,4]
[7,4,3,5,1,8,2,6]=>[6,2,8,1,5,3,4,7]
[7,6,5,2,3,1,8,4]=>[4,8,1,3,2,5,6,7]
[3,6,1,2,5,7,8,4]=>[4,8,7,5,2,1,6,3]
[8,2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2,8]
[3,7,4,2,8,6,1,5]=>[5,1,6,8,2,4,7,3]
[7,5,8,6,4,2,3,1]=>[1,3,2,4,6,8,5,7]
[1,5,4,6,8,7,2,3]=>[3,2,7,8,6,4,5,1]
[6,2,4,3,7,8,5,1]=>[1,5,8,7,3,4,2,6]
[6,2,7,1,3,5,4,8]=>[8,4,5,3,1,7,2,6]
[5,2,3,7,8,6,4,1]=>[1,4,6,8,7,3,2,5]
[3,8,7,4,2,1,6,5]=>[5,6,1,2,4,7,8,3]
[3,1,5,4,8,2,6,7]=>[7,6,2,8,4,5,1,3]
[6,1,3,2,5,4,7,8]=>[8,7,4,5,2,3,1,6]
[4,8,6,2,5,3,7,1]=>[1,7,3,5,2,6,8,4]
[2,3,7,1,5,4,6,8]=>[8,6,4,5,1,7,3,2]
[5,3,4,2,8,1,7,6]=>[6,7,1,8,2,4,3,5]
[6,3,5,8,1,4,2,7]=>[7,2,4,1,8,5,3,6]
[8,3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3,8]
[8,7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7,8]
[8,2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2,8]
[8,7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7,8]
[2,3,5,4,7,1,6,8]=>[8,6,1,7,4,5,3,2]
[3,6,7,5,1,4,2,8]=>[8,2,4,1,5,7,6,3]
[8,2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2,8]
[8,2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2,8]
[5,8,3,4,7,6,2,1]=>[1,2,6,7,4,3,8,5]
[5,3,4,8,6,7,2,1]=>[1,2,7,6,8,4,3,5]
[4,5,2,3,8,7,6,1]=>[1,6,7,8,3,2,5,4]
[7,6,2,1,3,8,4,5]=>[5,4,8,3,1,2,6,7]
[8,4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4,8]
[8,5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5,8]
[4,8,7,6,3,5,1,2]=>[2,1,5,3,6,7,8,4]
[7,1,3,5,4,6,8,2]=>[2,8,6,4,5,3,1,7]
[2,6,8,5,1,3,4,7]=>[7,4,3,1,5,8,6,2]
[3,1,6,8,2,5,7,4]=>[4,7,5,2,8,6,1,3]
[3,2,1,4,7,5,6,8]=>[8,6,5,7,4,1,2,3]
[3,1,2,4,7,6,5,8]=>[8,5,6,7,4,2,1,3]
[8,3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3,8]
[3,6,1,2,8,4,7,5]=>[5,7,4,8,2,1,6,3]
[8,2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2,8]
[6,8,1,5,4,3,7,2]=>[2,7,3,4,5,1,8,6]
[1,7,5,4,2,6,8,3]=>[3,8,6,2,4,5,7,1]
[6,7,4,1,5,3,2,8]=>[8,2,3,5,1,4,7,6]
[4,7,6,1,2,8,5,3]=>[3,5,8,2,1,6,7,4]
[1,5,4,6,8,2,7,3]=>[3,7,2,8,6,4,5,1]
[1,4,6,7,2,5,3,8]=>[8,3,5,2,7,6,4,1]
[1,5,4,6,8,3,2,7]=>[7,2,3,8,6,4,5,1]
[1,6,8,3,4,5,2,7]=>[7,2,5,4,3,8,6,1]
[1,3,4,6,8,7,2,5]=>[5,2,7,8,6,4,3,1]
[2,4,5,7,8,3,6,1]=>[1,6,3,8,7,5,4,2]
[4,7,1,3,6,2,8,5]=>[5,8,2,6,3,1,7,4]
[7,2,8,1,4,3,5,6]=>[6,5,3,4,1,8,2,7]
[7,1,2,5,8,4,3,6]=>[6,3,4,8,5,2,1,7]
[7,4,3,5,1,2,8,6]=>[6,8,2,1,5,3,4,7]
[4,6,3,1,5,7,2,8]=>[8,2,7,5,1,3,6,4]
[4,1,6,8,5,7,2,3]=>[3,2,7,5,8,6,1,4]
[5,1,7,4,6,3,2,8]=>[8,2,3,6,4,7,1,5]
[3,8,4,6,7,5,1,2]=>[2,1,5,7,6,4,8,3]
[5,1,4,2,7,6,3,8]=>[8,3,6,7,2,4,1,5]
[1,4,6,3,5,2,7,8]=>[8,7,2,5,3,6,4,1]
[1,4,5,6,8,3,7,2]=>[2,7,3,8,6,5,4,1]
[1,4,6,7,5,2,8,3]=>[3,8,2,5,7,6,4,1]
[1,3,8,6,2,5,4,7]=>[7,4,5,2,6,8,3,1]
[1,5,6,4,2,7,8,3]=>[3,8,7,2,4,6,5,1]
[6,4,5,1,3,7,2,8]=>[8,2,7,3,1,5,4,6]
[6,4,8,1,3,5,2,7]=>[7,2,5,3,1,8,4,6]
[5,1,2,8,7,4,3,6]=>[6,3,4,7,8,2,1,5]
[6,4,1,8,3,7,2,5]=>[5,2,7,3,8,1,4,6]
[8,4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4,8]
[6,7,1,5,4,2,8,3]=>[3,8,2,4,5,1,7,6]
[3,8,1,7,5,4,6,2]=>[2,6,4,5,7,1,8,3]
[3,4,2,6,1,8,5,7]=>[7,5,8,1,6,2,4,3]
[4,2,3,7,1,8,5,6]=>[6,5,8,1,7,3,2,4]
[8,1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1,8]
[4,2,6,7,1,5,3,8]=>[8,3,5,1,7,6,2,4]
[7,6,1,5,8,2,4,3]=>[3,4,2,8,5,1,6,7]
[4,7,3,1,2,5,8,6]=>[6,8,5,2,1,3,7,4]
[4,2,3,6,1,8,7,5]=>[5,7,8,1,6,3,2,4]
[5,4,3,6,8,2,1,7]=>[7,1,2,8,6,3,4,5]
[8,3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3,8]
[8,4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4,8]
[3,4,8,6,2,7,5,1]=>[1,5,7,2,6,8,4,3]
[5,7,4,2,3,1,8,6]=>[6,8,1,3,2,4,7,5]
[7,3,1,6,4,2,8,5]=>[5,8,2,4,6,1,3,7]
[3,7,8,1,4,2,5,6]=>[6,5,2,4,1,8,7,3]
[4,1,3,6,2,7,5,8]=>[8,5,7,2,6,3,1,4]
[6,8,3,5,4,2,7,1]=>[1,7,2,4,5,3,8,6]
[2,6,8,5,3,4,1,7]=>[7,1,4,3,5,8,6,2]
[4,7,3,1,5,2,6,8]=>[8,6,2,5,1,3,7,4]
[7,2,8,4,6,3,5,1]=>[1,5,3,6,4,8,2,7]
[5,8,6,4,3,7,2,1]=>[1,2,7,3,4,6,8,5]
[3,6,2,4,5,1,7,8]=>[8,7,1,5,4,2,6,3]
[8,7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7,8]
[8,4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4,8]
[8,3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3,8]
[4,8,1,6,5,3,7,2]=>[2,7,3,5,6,1,8,4]
[5,8,6,4,7,3,1,2]=>[2,1,3,7,4,6,8,5]
[7,6,8,4,1,2,5,3]=>[3,5,2,1,4,8,6,7]
[3,8,6,1,5,4,7,2]=>[2,7,4,5,1,6,8,3]
[4,8,6,3,1,7,5,2]=>[2,5,7,1,3,6,8,4]
[8,3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3,8]
[1,8,7,3,5,6,4,2]=>[2,4,6,5,3,7,8,1]
[2,5,3,6,8,7,1,4]=>[4,1,7,8,6,3,5,2]
[6,3,2,4,8,5,7,1]=>[1,7,5,8,4,2,3,6]
[2,6,7,4,3,5,8,1]=>[1,8,5,3,4,7,6,2]
[5,3,4,7,6,2,8,1]=>[1,8,2,6,7,4,3,5]
[6,1,4,5,8,7,3,2]=>[2,3,7,8,5,4,1,6]
[6,1,2,4,5,8,7,3]=>[3,7,8,5,4,2,1,6]
[5,6,8,1,2,7,3,4]=>[4,3,7,2,1,8,6,5]
[1,6,4,2,5,3,8,7]=>[7,8,3,5,2,4,6,1]
[8,7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7,8]
[5,8,7,1,3,2,4,6]=>[6,4,2,3,1,7,8,5]
[2,8,6,3,7,5,1,4]=>[4,1,5,7,3,6,8,2]
[2,4,7,1,6,8,5,3]=>[3,5,8,6,1,7,4,2]
[7,4,3,6,8,1,5,2]=>[2,5,1,8,6,3,4,7]
[3,6,5,1,7,8,4,2]=>[2,4,8,7,1,5,6,3]
[8,2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2,8]
[3,7,2,6,5,1,4,8]=>[8,4,1,5,6,2,7,3]
[2,6,1,8,7,5,4,3]=>[3,4,5,7,8,1,6,2]
[5,6,1,7,3,2,4,8]=>[8,4,2,3,7,1,6,5]
[5,4,8,2,3,7,6,1]=>[1,6,7,3,2,8,4,5]
[4,2,6,8,3,5,7,1]=>[1,7,5,3,8,6,2,4]
[4,5,6,1,3,7,2,8]=>[8,2,7,3,1,6,5,4]
[7,4,3,6,5,8,2,1]=>[1,2,8,5,6,3,4,7]
[3,1,2,6,8,7,4,5]=>[5,4,7,8,6,2,1,3]
[1,4,3,7,5,2,6,8]=>[8,6,2,5,7,3,4,1]
[8,7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7,8]
[2,7,4,3,1,6,5,8]=>[8,5,6,1,3,4,7,2]
[6,2,5,3,1,8,4,7]=>[7,4,8,1,3,5,2,6]
[3,1,4,8,5,2,6,7]=>[7,6,2,5,8,4,1,3]
[4,6,8,1,3,7,2,5]=>[5,2,7,3,1,8,6,4]
[5,3,2,7,8,6,1,4]=>[4,1,6,8,7,2,3,5]
[8,3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3,8]
[6,2,1,3,4,8,5,7]=>[7,5,8,4,3,1,2,6]
[3,7,4,6,5,1,2,8]=>[8,2,1,5,6,4,7,3]
[4,8,7,5,3,6,2,1]=>[1,2,6,3,5,7,8,4]
[3,8,4,6,5,1,2,7]=>[7,2,1,5,6,4,8,3]
[6,8,3,5,1,4,2,7]=>[7,2,4,1,5,3,8,6]
[2,4,7,3,6,5,8,1]=>[1,8,5,6,3,7,4,2]
[3,8,7,1,2,6,5,4]=>[4,5,6,2,1,7,8,3]
[8,2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2,8]
[2,8,7,3,1,5,4,6]=>[6,4,5,1,3,7,8,2]
[3,8,4,5,1,7,2,6]=>[6,2,7,1,5,4,8,3]
[7,6,4,5,3,1,8,2]=>[2,8,1,3,5,4,6,7]
[7,6,3,4,1,5,8,2]=>[2,8,5,1,4,3,6,7]
[7,5,1,4,3,6,8,2]=>[2,8,6,3,4,1,5,7]
[2,5,6,7,3,4,8,1]=>[1,8,4,3,7,6,5,2]
[7,4,1,3,5,6,8,2]=>[2,8,6,5,3,1,4,7]
[3,7,5,6,2,4,8,1]=>[1,8,4,2,6,5,7,3]
[5,3,8,6,7,4,2,1]=>[1,2,4,7,6,8,3,5]
[3,7,4,5,2,6,1,8]=>[8,1,6,2,5,4,7,3]
[1,7,4,5,8,2,6,3]=>[3,6,2,8,5,4,7,1]
[5,3,4,8,6,1,7,2]=>[2,7,1,6,8,4,3,5]
[3,8,4,1,2,6,5,7]=>[7,5,6,2,1,4,8,3]
[5,8,6,2,1,3,4,7]=>[7,4,3,1,2,6,8,5]
[2,7,3,8,6,1,4,5]=>[5,4,1,6,8,3,7,2]
[6,7,1,2,3,5,4,8]=>[8,4,5,3,2,1,7,6]
[8,7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7,8]
[8,2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2,8]
[6,1,8,5,4,2,3,7]=>[7,3,2,4,5,8,1,6]
[5,1,7,8,4,6,2,3]=>[3,2,6,4,8,7,1,5]
[6,1,2,5,7,4,3,8]=>[8,3,4,7,5,2,1,6]
[2,6,5,7,8,1,4,3]=>[3,4,1,8,7,5,6,2]
[4,8,2,7,5,6,3,1]=>[1,3,6,5,7,2,8,4]
[6,1,2,4,8,7,3,5]=>[5,3,7,8,4,2,1,6]
[2,6,4,1,7,3,8,5]=>[5,8,3,7,1,4,6,2]
[6,7,2,5,4,8,3,1]=>[1,3,8,4,5,2,7,6]
[2,5,7,3,1,6,8,4]=>[4,8,6,1,3,7,5,2]
[8,1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1,8]
[1,3,5,8,7,4,2,6]=>[6,2,4,7,8,5,3,1]
[3,2,1,7,8,4,6,5]=>[5,6,4,8,7,1,2,3]
[1,4,7,5,6,3,8,2]=>[2,8,3,6,5,7,4,1]
[3,7,2,4,6,5,8,1]=>[1,8,5,6,4,2,7,3]
[3,7,4,2,5,6,8,1]=>[1,8,6,5,2,4,7,3]
[2,8,5,6,4,3,7,1]=>[1,7,3,4,6,5,8,2]
[8,3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3,8]
[2,8,5,3,7,6,1,4]=>[4,1,6,7,3,5,8,2]
[8,4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4,8]
[8,3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3,8]
[8,4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4,8]
[4,7,3,6,8,5,2,1]=>[1,2,5,8,6,3,7,4]
[2,7,4,8,5,6,3,1]=>[1,3,6,5,8,4,7,2]
[6,2,3,1,5,8,4,7]=>[7,4,8,5,1,3,2,6]
[4,1,3,6,2,8,7,5]=>[5,7,8,2,6,3,1,4]
[4,1,3,7,2,8,5,6]=>[6,5,8,2,7,3,1,4]
[5,2,4,7,1,3,8,6]=>[6,8,3,1,7,4,2,5]
[7,1,5,4,3,6,8,2]=>[2,8,6,3,4,5,1,7]
[5,2,4,6,3,1,8,7]=>[7,8,1,3,6,4,2,5]
[5,2,4,7,3,1,8,6]=>[6,8,1,3,7,4,2,5]
[2,6,1,7,8,5,4,3]=>[3,4,5,8,7,1,6,2]
[5,1,7,3,2,8,6,4]=>[4,6,8,2,3,7,1,5]
[8,3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3,8]
[2,6,3,7,4,5,1,8]=>[8,1,5,4,7,3,6,2]
[6,2,3,4,7,5,1,8]=>[8,1,5,7,4,3,2,6]
[7,8,2,5,1,4,6,3]=>[3,6,4,1,5,2,8,7]
[8,6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6,8]
[4,5,7,1,3,2,6,8]=>[8,6,2,3,1,7,5,4]
[4,1,3,8,7,2,5,6]=>[6,5,2,7,8,3,1,4]
[2,1,7,3,5,6,4,8]=>[8,4,6,5,3,7,1,2]
[3,8,4,6,7,5,2,1]=>[1,2,5,7,6,4,8,3]
[4,8,3,6,2,7,5,1]=>[1,5,7,2,6,3,8,4]
[7,5,2,8,3,6,4,1]=>[1,4,6,3,8,2,5,7]
[4,7,5,3,6,8,2,1]=>[1,2,8,6,3,5,7,4]
[2,5,1,7,6,4,3,8]=>[8,3,4,6,7,1,5,2]
[7,4,2,3,8,6,5,1]=>[1,5,6,8,3,2,4,7]
[3,8,2,6,4,1,7,5]=>[5,7,1,4,6,2,8,3]
[1,2,8,4,7,5,6,3]=>[3,6,5,7,4,8,2,1]
[2,8,5,6,4,7,3,1]=>[1,3,7,4,6,5,8,2]
[7,8,5,2,1,3,6,4]=>[4,6,3,1,2,5,8,7]
[8,7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7,8]
[8,5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5,8]
[6,1,4,7,3,8,5,2]=>[2,5,8,3,7,4,1,6]
[2,7,4,8,1,5,3,6]=>[6,3,5,1,8,4,7,2]
[2,5,7,6,8,1,4,3]=>[3,4,1,8,6,7,5,2]
[4,2,8,3,5,6,1,7]=>[7,1,6,5,3,8,2,4]
[5,8,2,6,7,1,4,3]=>[3,4,1,7,6,2,8,5]
[5,3,4,2,8,6,1,7]=>[7,1,6,8,2,4,3,5]
[8,3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3,8]
[8,3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3,8]
[8,2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2,8]
[8,2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2,8]
[2,8,3,6,5,1,7,4]=>[4,7,1,5,6,3,8,2]
[8,1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1,8]
[8,5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5,8]
[2,7,1,6,5,3,4,8]=>[8,4,3,5,6,1,7,2]
[2,8,1,6,3,5,4,7]=>[7,4,5,3,6,1,8,2]
[5,6,2,3,4,8,1,7]=>[7,1,8,4,3,2,6,5]
[6,2,4,1,7,5,3,8]=>[8,3,5,7,1,4,2,6]
[1,6,3,4,7,2,5,8]=>[8,5,2,7,4,3,6,1]
[5,3,7,8,6,2,1,4]=>[4,1,2,6,8,7,3,5]
[4,3,2,5,8,6,1,7]=>[7,1,6,8,5,2,3,4]
[1,3,2,7,8,6,4,5]=>[5,4,6,8,7,2,3,1]
[1,3,7,6,8,2,4,5]=>[5,4,2,8,6,7,3,1]
[1,5,8,6,3,2,4,7]=>[7,4,2,3,6,8,5,1]
[1,4,2,6,5,3,7,8]=>[8,7,3,5,6,2,4,1]
[1,8,7,5,6,2,4,3]=>[3,4,2,6,5,7,8,1]
[1,8,7,3,5,2,4,6]=>[6,4,2,5,3,7,8,1]
[6,1,5,4,3,7,2,8]=>[8,2,7,3,4,5,1,6]
[8,3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3,8]
[8,3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3,8]
[8,7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7,8]
[2,8,7,5,1,3,6,4]=>[4,6,3,1,5,7,8,2]
[1,8,3,2,4,7,6,5]=>[5,6,7,4,2,3,8,1]
[4,3,1,5,2,8,7,6]=>[6,7,8,2,5,1,3,4]
[3,5,4,6,1,2,7,8]=>[8,7,2,1,6,4,5,3]
[8,3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3,8]
[8,7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7,8]
[5,1,8,6,4,7,3,2]=>[2,3,7,4,6,8,1,5]
[5,2,1,8,6,4,7,3]=>[3,7,4,6,8,1,2,5]
[8,3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3,8]
[2,6,5,3,7,8,1,4]=>[4,1,8,7,3,5,6,2]
[7,5,2,6,8,3,1,4]=>[4,1,3,8,6,2,5,7]
[1,6,4,2,5,8,7,3]=>[3,7,8,5,2,4,6,1]
[2,7,3,6,8,1,5,4]=>[4,5,1,8,6,3,7,2]
[1,2,6,8,3,5,7,4]=>[4,7,5,3,8,6,2,1]
[5,3,2,7,6,8,1,4]=>[4,1,8,6,7,2,3,5]
[7,6,3,2,1,5,8,4]=>[4,8,5,1,2,3,6,7]
[1,3,7,6,2,5,8,4]=>[4,8,5,2,6,7,3,1]
[5,2,1,4,6,3,7,8]=>[8,7,3,6,4,1,2,5]
[1,6,4,8,2,3,7,5]=>[5,7,3,2,8,4,6,1]
[4,7,3,8,5,2,6,1]=>[1,6,2,5,8,3,7,4]
[6,4,3,2,7,5,1,8]=>[8,1,5,7,2,3,4,6]
[5,2,7,3,8,1,4,6]=>[6,4,1,8,3,7,2,5]
[5,2,3,7,8,1,4,6]=>[6,4,1,8,7,3,2,5]
[3,5,2,1,8,7,4,6]=>[6,4,7,8,1,2,5,3]
[8,6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6,8]
[3,2,5,8,1,7,4,6]=>[6,4,7,1,8,5,2,3]
[5,2,4,7,6,3,1,8]=>[8,1,3,6,7,4,2,5]
[8,6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6,8]
[1,7,5,2,8,3,6,4]=>[4,6,3,8,2,5,7,1]
[8,6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6,8]
[8,1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1,8]
[4,7,5,6,1,3,2,8]=>[8,2,3,1,6,5,7,4]
[3,6,2,8,1,4,5,7]=>[7,5,4,1,8,2,6,3]
[6,8,3,5,4,1,2,7]=>[7,2,1,4,5,3,8,6]
[3,7,1,6,5,8,4,2]=>[2,4,8,5,6,1,7,3]
[6,5,1,8,2,4,3,7]=>[7,3,4,2,8,1,5,6]
[3,5,1,8,4,2,6,7]=>[7,6,2,4,8,1,5,3]
[4,6,3,2,1,7,8,5]=>[5,8,7,1,2,3,6,4]
[5,3,2,6,7,8,4,1]=>[1,4,8,7,6,2,3,5]
[6,1,7,2,4,8,3,5]=>[5,3,8,4,2,7,1,6]
[4,5,2,8,7,6,1,3]=>[3,1,6,7,8,2,5,4]
[5,1,8,3,4,7,2,6]=>[6,2,7,4,3,8,1,5]
[1,3,4,2,8,7,5,6]=>[6,5,7,8,2,4,3,1]
[5,4,7,8,2,3,1,6]=>[6,1,3,2,8,7,4,5]
[2,6,1,4,5,7,3,8]=>[8,3,7,5,4,1,6,2]
[5,6,2,3,8,7,1,4]=>[4,1,7,8,3,2,6,5]
[8,6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6,8]
[8,6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6,8]
[6,8,4,3,5,7,2,1]=>[1,2,7,5,3,4,8,6]
[3,4,7,5,2,6,8,1]=>[1,8,6,2,5,7,4,3]
[7,5,3,2,6,8,4,1]=>[1,4,8,6,2,3,5,7]
[7,8,6,2,4,3,5,1]=>[1,5,3,4,2,6,8,7]
[1,7,4,5,8,6,3,2]=>[2,3,6,8,5,4,7,1]
[3,8,4,1,5,6,2,7]=>[7,2,6,5,1,4,8,3]
[1,7,8,6,4,3,5,2]=>[2,5,3,4,6,8,7,1]
[2,3,8,1,7,4,6,5]=>[5,6,4,7,1,8,3,2]
[7,1,5,6,2,8,4,3]=>[3,4,8,2,6,5,1,7]
[4,7,5,2,8,3,1,6]=>[6,1,3,8,2,5,7,4]
[5,4,6,1,8,2,3,7]=>[7,3,2,8,1,6,4,5]
[8,2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2,8]
[3,5,2,7,8,6,1,4]=>[4,1,6,8,7,2,5,3]
[6,7,3,5,2,8,4,1]=>[1,4,8,2,5,3,7,6]
[8,2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2,8]
[6,2,3,7,1,4,8,5]=>[5,8,4,1,7,3,2,6]
[1,8,7,5,3,6,2,4]=>[4,2,6,3,5,7,8,1]
[8,3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3,8]
[1,7,2,4,3,6,8,5]=>[5,8,6,3,4,2,7,1]
[8,5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5,8]
[1,5,4,7,2,3,6,8]=>[8,6,3,2,7,4,5,1]
[7,2,6,5,4,8,3,1]=>[1,3,8,4,5,6,2,7]
[6,2,3,5,7,8,4,1]=>[1,4,8,7,5,3,2,6]
[1,7,4,6,8,5,2,3]=>[3,2,5,8,6,4,7,1]
[3,6,5,8,2,1,4,7]=>[7,4,1,2,8,5,6,3]
[6,7,2,5,8,3,4,1]=>[1,4,3,8,5,2,7,6]
[3,8,6,7,4,1,2,5]=>[5,2,1,4,7,6,8,3]
[8,3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3,8]
[8,7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7,8]
[8,1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1,8]
[8,7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7,8]
[2,8,1,4,7,5,3,6]=>[6,3,5,7,4,1,8,2]
[1,6,8,2,4,7,3,5]=>[5,3,7,4,2,8,6,1]
[6,1,4,7,2,3,5,8]=>[8,5,3,2,7,4,1,6]
[3,7,4,1,2,5,6,8]=>[8,6,5,2,1,4,7,3]
[6,3,4,7,2,5,1,8]=>[8,1,5,2,7,4,3,6]
[5,3,4,2,8,1,6,7]=>[7,6,1,8,2,4,3,5]
[6,2,4,5,7,1,3,8]=>[8,3,1,7,5,4,2,6]
[7,5,2,4,6,1,8,3]=>[3,8,1,6,4,2,5,7]
[5,2,4,1,8,3,7,6]=>[6,7,3,8,1,4,2,5]
[2,6,3,5,1,4,7,8]=>[8,7,4,1,5,3,6,2]
[2,3,7,6,8,4,1,5]=>[5,1,4,8,6,7,3,2]
[2,3,6,7,5,1,4,8]=>[8,4,1,5,7,6,3,2]
[5,7,6,3,2,1,4,8]=>[8,4,1,2,3,6,7,5]
[6,1,4,7,5,2,3,8]=>[8,3,2,5,7,4,1,6]
[5,1,8,4,2,6,7,3]=>[3,7,6,2,4,8,1,5]
[1,7,4,6,8,2,3,5]=>[5,3,2,8,6,4,7,1]
[1,7,3,6,8,2,4,5]=>[5,4,2,8,6,3,7,1]
[5,4,8,6,3,2,7,1]=>[1,7,2,3,6,8,4,5]
[1,6,7,8,5,3,2,4]=>[4,2,3,5,8,7,6,1]
[5,6,4,8,7,3,1,2]=>[2,1,3,7,8,4,6,5]
[5,7,8,4,6,3,1,2]=>[2,1,3,6,4,8,7,5]
[3,6,7,5,4,1,2,8]=>[8,2,1,4,5,7,6,3]
[5,6,2,3,8,1,7,4]=>[4,7,1,8,3,2,6,5]
[8,2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2,8]
[8,4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4,8]
[8,3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3,8]
[5,6,3,8,7,4,2,1]=>[1,2,4,7,8,3,6,5]
[2,4,8,5,1,7,6,3]=>[3,6,7,1,5,8,4,2]
[7,4,1,3,5,8,2,6]=>[6,2,8,5,3,1,4,7]
[3,6,4,7,2,1,5,8]=>[8,5,1,2,7,4,6,3]
[8,2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2,8]
[8,3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3,8]
[7,3,1,8,5,2,4,6]=>[6,4,2,5,8,1,3,7]
[7,3,1,8,2,6,4,5]=>[5,4,6,2,8,1,3,7]
[6,3,7,1,2,5,4,8]=>[8,4,5,2,1,7,3,6]
[6,7,2,1,4,3,5,8]=>[8,5,3,4,1,2,7,6]
[7,2,1,3,4,6,5,8]=>[8,5,6,4,3,1,2,7]
[6,2,1,3,7,4,5,8]=>[8,5,4,7,3,1,2,6]
[6,2,1,3,5,4,8,7]=>[7,8,4,5,3,1,2,6]
[3,7,6,2,8,5,4,1]=>[1,4,5,8,2,6,7,3]
[3,7,6,4,2,1,5,8]=>[8,5,1,2,4,6,7,3]
[2,3,6,7,4,1,5,8]=>[8,5,1,4,7,6,3,2]
[5,7,2,6,8,3,1,4]=>[4,1,3,8,6,2,7,5]
[2,3,8,5,7,6,1,4]=>[4,1,6,7,5,8,3,2]
[3,2,7,4,5,8,6,1]=>[1,6,8,5,4,7,2,3]
[7,3,2,4,8,5,6,1]=>[1,6,5,8,4,2,3,7]
[6,2,8,3,4,1,7,5]=>[5,7,1,4,3,8,2,6]
[7,4,5,3,6,1,8,2]=>[2,8,1,6,3,5,4,7]
[7,1,4,8,5,3,6,2]=>[2,6,3,5,8,4,1,7]
[6,3,1,4,2,5,7,8]=>[8,7,5,2,4,1,3,6]
[6,8,1,5,7,3,4,2]=>[2,4,3,7,5,1,8,6]
[7,6,2,5,1,8,3,4]=>[4,3,8,1,5,2,6,7]
[3,2,8,4,6,1,5,7]=>[7,5,1,6,4,8,2,3]
[6,3,8,5,4,2,1,7]=>[7,1,2,4,5,8,3,6]
[2,4,3,8,1,7,6,5]=>[5,6,7,1,8,3,4,2]
[3,2,4,8,1,6,7,5]=>[5,7,6,1,8,4,2,3]
[2,7,4,1,8,6,5,3]=>[3,5,6,8,1,4,7,2]
[7,3,1,8,2,5,4,6]=>[6,4,5,2,8,1,3,7]
[3,8,6,5,4,7,2,1]=>[1,2,7,4,5,6,8,3]
[6,8,5,1,4,7,2,3]=>[3,2,7,4,1,5,8,6]
[5,2,3,7,6,4,8,1]=>[1,8,4,6,7,3,2,5]
[2,8,4,6,7,5,1,3]=>[3,1,5,7,6,4,8,2]
[5,1,7,4,6,2,8,3]=>[3,8,2,6,4,7,1,5]
[2,3,8,7,6,1,5,4]=>[4,5,1,6,7,8,3,2]
[6,1,8,2,4,7,5,3]=>[3,5,7,4,2,8,1,6]
[4,8,2,6,5,7,3,1]=>[1,3,7,5,6,2,8,4]
[4,5,2,7,6,8,3,1]=>[1,3,8,6,7,2,5,4]
[7,2,3,1,6,4,5,8]=>[8,5,4,6,1,3,2,7]
[8,2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2,8]
[4,2,7,8,5,6,3,1]=>[1,3,6,5,8,7,2,4]
[8,2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2,8]
[8,5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5,8]
[5,2,6,3,8,4,7,1]=>[1,7,4,8,3,6,2,5]
[5,2,7,3,8,4,6,1]=>[1,6,4,8,3,7,2,5]
[8,3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3,8]
[6,7,8,3,1,5,2,4]=>[4,2,5,1,3,8,7,6]
[8,1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1,8]
[7,8,1,5,2,3,4,6]=>[6,4,3,2,5,1,8,7]
[3,7,6,5,2,8,4,1]=>[1,4,8,2,5,6,7,3]
[5,7,6,4,2,8,3,1]=>[1,3,8,2,4,6,7,5]
[5,6,4,2,8,7,3,1]=>[1,3,7,8,2,4,6,5]
[6,5,3,7,4,2,8,1]=>[1,8,2,4,7,3,5,6]
[6,2,5,3,8,7,4,1]=>[1,4,7,8,3,5,2,6]
[3,5,8,7,6,2,1,4]=>[4,1,2,6,7,8,5,3]
[3,5,8,1,6,2,4,7]=>[7,4,2,6,1,8,5,3]
[6,3,4,1,7,8,5,2]=>[2,5,8,7,1,4,3,6]
[3,8,4,2,6,5,1,7]=>[7,1,5,6,2,4,8,3]
[4,5,7,3,6,2,1,8]=>[8,1,2,6,3,7,5,4]
[4,5,6,8,7,2,3,1]=>[1,3,2,7,8,6,5,4]
[5,2,7,6,1,3,4,8]=>[8,4,3,1,6,7,2,5]
[8,4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4,8]
[8,6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6,8]
[7,4,3,5,1,8,6,2]=>[2,6,8,1,5,3,4,7]
[7,4,5,3,2,1,8,6]=>[6,8,1,2,3,5,4,7]
[7,8,4,1,3,5,2,6]=>[6,2,5,3,1,4,8,7]
[5,4,7,1,2,6,3,8]=>[8,3,6,2,1,7,4,5]
[2,6,1,7,5,3,4,8]=>[8,4,3,5,7,1,6,2]
[7,3,1,6,4,8,5,2]=>[2,5,8,4,6,1,3,7]
[3,7,2,6,5,4,8,1]=>[1,8,4,5,6,2,7,3]
[1,4,5,2,7,8,6,3]=>[3,6,8,7,2,5,4,1]
[3,5,6,4,7,1,2,8]=>[8,2,1,7,4,6,5,3]
[3,1,5,6,4,7,2,8]=>[8,2,7,4,6,5,1,3]
[6,3,4,1,5,7,2,8]=>[8,2,7,5,1,4,3,6]
[4,1,8,6,3,2,5,7]=>[7,5,2,3,6,8,1,4]
[2,1,8,5,6,3,4,7]=>[7,4,3,6,5,8,1,2]
[7,1,8,5,2,4,3,6]=>[6,3,4,2,5,8,1,7]
[1,7,8,5,2,4,3,6]=>[6,3,4,2,5,8,7,1]
[2,7,3,1,6,8,5,4]=>[4,5,8,6,1,3,7,2]
[6,8,7,4,5,1,2,3]=>[3,2,1,5,4,7,8,6]
[3,7,5,6,8,2,1,4]=>[4,1,2,8,6,5,7,3]
[2,8,3,5,4,6,1,7]=>[7,1,6,4,5,3,8,2]
[2,5,7,1,6,8,4,3]=>[3,4,8,6,1,7,5,2]
[3,7,8,4,5,2,1,6]=>[6,1,2,5,4,8,7,3]
[7,8,6,4,5,1,3,2]=>[2,3,1,5,4,6,8,7]
[4,8,5,7,6,2,3,1]=>[1,3,2,6,7,5,8,4]
[1,4,3,8,2,7,5,6]=>[6,5,7,2,8,3,4,1]
[1,8,3,5,2,4,6,7]=>[7,6,4,2,5,3,8,1]
[5,1,4,7,6,2,8,3]=>[3,8,2,6,7,4,1,5]
[3,8,5,4,1,6,2,7]=>[7,2,6,1,4,5,8,3]
[5,8,1,3,6,2,4,7]=>[7,4,2,6,3,1,8,5]
[5,1,8,3,6,2,4,7]=>[7,4,2,6,3,8,1,5]
[5,8,6,1,3,2,4,7]=>[7,4,2,3,1,6,8,5]
[7,3,6,8,1,4,2,5]=>[5,2,4,1,8,6,3,7]
[5,1,4,2,3,7,6,8]=>[8,6,7,3,2,4,1,5]
[3,1,6,8,4,5,2,7]=>[7,2,5,4,8,6,1,3]
[6,1,3,7,5,4,2,8]=>[8,2,4,5,7,3,1,6]
[2,1,7,5,3,4,8,6]=>[6,8,4,3,5,7,1,2]
[8,5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5,8]
[8,3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3,8]
[3,4,8,5,1,7,2,6]=>[6,2,7,1,5,8,4,3]
[8,3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3,8]
[6,1,8,7,2,4,3,5]=>[5,3,4,2,7,8,1,6]
[5,2,4,7,3,6,1,8]=>[8,1,6,3,7,4,2,5]
[2,8,6,7,5,4,1,3]=>[3,1,4,5,7,6,8,2]
[8,6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6,8]
[7,8,6,3,5,4,1,2]=>[2,1,4,5,3,6,8,7]
[4,3,8,6,1,2,7,5]=>[5,7,2,1,6,8,3,4]
[2,5,4,7,1,3,8,6]=>[6,8,3,1,7,4,5,2]
[6,8,5,4,7,2,1,3]=>[3,1,2,7,4,5,8,6]
[3,2,6,8,4,5,1,7]=>[7,1,5,4,8,6,2,3]
[5,1,3,6,2,7,8,4]=>[4,8,7,2,6,3,1,5]
[4,2,7,8,3,1,6,5]=>[5,6,1,3,8,7,2,4]
[5,7,6,4,1,3,2,8]=>[8,2,3,1,4,6,7,5]
[3,8,1,4,6,5,7,2]=>[2,7,5,6,4,1,8,3]
[7,6,1,4,8,5,3,2]=>[2,3,5,8,4,1,6,7]
[8,2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2,8]
[1,7,8,5,6,2,4,3]=>[3,4,2,6,5,8,7,1]
[6,2,1,4,5,3,8,7]=>[7,8,3,5,4,1,2,6]
[5,1,6,3,4,8,7,2]=>[2,7,8,4,3,6,1,5]
[2,7,6,1,8,4,5,3]=>[3,5,4,8,1,6,7,2]
[4,1,7,6,8,3,5,2]=>[2,5,3,8,6,7,1,4]
[5,1,7,6,8,2,4,3]=>[3,4,2,8,6,7,1,5]
[5,6,1,8,2,4,3,7]=>[7,3,4,2,8,1,6,5]
[3,7,4,2,6,1,8,5]=>[5,8,1,6,2,4,7,3]
[3,7,6,4,1,2,8,5]=>[5,8,2,1,4,6,7,3]
[1,7,2,6,4,8,3,5]=>[5,3,8,4,6,2,7,1]
[1,7,5,6,2,4,8,3]=>[3,8,4,2,6,5,7,1]
[1,7,4,8,2,3,6,5]=>[5,6,3,2,8,4,7,1]
[1,7,4,8,2,3,5,6]=>[6,5,3,2,8,4,7,1]
[4,3,8,5,6,1,2,7]=>[7,2,1,6,5,8,3,4]
[1,2,7,3,5,6,4,8]=>[8,4,6,5,3,7,2,1]
[8,6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6,8]
[4,5,1,3,2,8,7,6]=>[6,7,8,2,3,1,5,4]
[6,5,8,3,4,7,1,2]=>[2,1,7,4,3,8,5,6]
[7,8,2,6,1,3,5,4]=>[4,5,3,1,6,2,8,7]
[5,8,7,1,2,3,6,4]=>[4,6,3,2,1,7,8,5]
[3,8,2,7,1,4,6,5]=>[5,6,4,1,7,2,8,3]
[5,1,2,8,7,3,6,4]=>[4,6,3,7,8,2,1,5]
[2,5,4,6,1,8,3,7]=>[7,3,8,1,6,4,5,2]
[2,7,3,6,5,1,4,8]=>[8,4,1,5,6,3,7,2]
[3,4,1,8,5,6,2,7]=>[7,2,6,5,8,1,4,3]
[3,2,8,4,7,1,5,6]=>[6,5,1,7,4,8,2,3]
[2,5,1,6,8,4,3,7]=>[7,3,4,8,6,1,5,2]
[6,1,3,7,2,5,4,8]=>[8,4,5,2,7,3,1,6]
[5,8,1,3,4,6,2,7]=>[7,2,6,4,3,1,8,5]
[3,8,1,2,6,5,7,4]=>[4,7,5,6,2,1,8,3]
[3,5,6,7,1,4,2,8]=>[8,2,4,1,7,6,5,3]
[3,6,8,2,7,4,5,1]=>[1,5,4,7,2,8,6,3]
[1,4,8,7,5,3,6,2]=>[2,6,3,5,7,8,4,1]
[7,4,2,5,3,6,8,1]=>[1,8,6,3,5,2,4,7]
[4,6,5,1,8,2,7,3]=>[3,7,2,8,1,5,6,4]
[2,7,5,6,4,1,8,3]=>[3,8,1,4,6,5,7,2]
[4,8,3,6,7,5,1,2]=>[2,1,5,7,6,3,8,4]
[1,6,3,2,7,8,5,4]=>[4,5,8,7,2,3,6,1]
[1,7,6,4,8,5,2,3]=>[3,2,5,8,4,6,7,1]
[1,7,6,2,5,3,4,8]=>[8,4,3,5,2,6,7,1]
[1,6,4,2,8,5,7,3]=>[3,7,5,8,2,4,6,1]
[1,4,3,8,6,7,2,5]=>[5,2,7,6,8,3,4,1]
[8,3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3,8]
[6,2,5,3,1,4,7,8]=>[8,7,4,1,3,5,2,6]
[2,3,8,5,1,6,4,7]=>[7,4,6,1,5,8,3,2]
[3,1,2,5,4,8,7,6]=>[6,7,8,4,5,2,1,3]
[7,8,2,5,3,1,4,6]=>[6,4,1,3,5,2,8,7]
[8,2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2,8]
[1,6,7,4,5,8,2,3]=>[3,2,8,5,4,7,6,1]
[8,3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3,8]
[7,6,1,2,8,4,3,5]=>[5,3,4,8,2,1,6,7]
[7,3,4,1,2,8,5,6]=>[6,5,8,2,1,4,3,7]
[7,1,2,8,6,5,3,4]=>[4,3,5,6,8,2,1,7]
[8,2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2,8]
[2,7,5,6,4,1,3,8]=>[8,3,1,4,6,5,7,2]
[6,5,2,7,8,3,4,1]=>[1,4,3,8,7,2,5,6]
[5,2,1,6,3,7,8,4]=>[4,8,7,3,6,1,2,5]
[6,7,8,5,4,1,3,2]=>[2,3,1,4,5,8,7,6]
[8,3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3,8]
[3,6,7,4,8,2,5,1]=>[1,5,2,8,4,7,6,3]
[3,6,8,4,5,2,7,1]=>[1,7,2,5,4,8,6,3]
[7,8,6,2,4,5,3,1]=>[1,3,5,4,2,6,8,7]
[8,7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7,8]
[8,3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3,8]
[8,3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3,8]
[8,6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6,8]
[4,3,1,6,7,5,2,8]=>[8,2,5,7,6,1,3,4]
[6,5,3,8,7,4,2,1]=>[1,2,4,7,8,3,5,6]
[8,5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5,8]
[5,3,2,1,6,8,7,4]=>[4,7,8,6,1,2,3,5]
[5,2,3,7,1,4,8,6]=>[6,8,4,1,7,3,2,5]
[4,7,2,3,8,1,5,6]=>[6,5,1,8,3,2,7,4]
[7,4,2,3,1,5,8,6]=>[6,8,5,1,3,2,4,7]
[2,7,4,5,1,6,8,3]=>[3,8,6,1,5,4,7,2]
[3,6,7,4,2,8,1,5]=>[5,1,8,2,4,7,6,3]
[6,3,4,7,1,5,8,2]=>[2,8,5,1,7,4,3,6]
[6,3,7,5,4,1,8,2]=>[2,8,1,4,5,7,3,6]
[7,3,1,5,4,6,8,2]=>[2,8,6,4,5,1,3,7]
[2,3,7,5,1,6,8,4]=>[4,8,6,1,5,7,3,2]
[2,7,3,5,1,6,4,8]=>[8,4,6,1,5,3,7,2]
[5,8,6,3,7,2,4,1]=>[1,4,2,7,3,6,8,5]
[3,8,1,4,5,2,6,7]=>[7,6,2,5,4,1,8,3]
[7,6,3,2,4,8,5,1]=>[1,5,8,4,2,3,6,7]
[8,2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2,8]
[5,4,6,1,7,3,2,8]=>[8,2,3,7,1,6,4,5]
[4,5,3,1,8,6,2,7]=>[7,2,6,8,1,3,5,4]
[6,3,2,8,1,5,4,7]=>[7,4,5,1,8,2,3,6]
[8,1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1,8]
[7,5,1,2,8,4,3,6]=>[6,3,4,8,2,1,5,7]
[3,7,8,6,1,5,2,4]=>[4,2,5,1,6,8,7,3]
[6,5,1,4,3,7,8,2]=>[2,8,7,3,4,1,5,6]
[2,6,4,5,1,7,3,8]=>[8,3,7,1,5,4,6,2]
[8,1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1,8]
[2,5,7,6,4,1,3,8]=>[8,3,1,4,6,7,5,2]
[8,1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1,8]
[5,4,3,8,7,2,6,1]=>[1,6,2,7,8,3,4,5]
[6,7,3,4,5,1,8,2]=>[2,8,1,5,4,3,7,6]
[8,2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2,8]
[8,7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7,8]
[3,6,1,2,8,7,4,5]=>[5,4,7,8,2,1,6,3]
[3,6,1,2,8,5,4,7]=>[7,4,5,8,2,1,6,3]
[3,6,1,2,7,5,4,8]=>[8,4,5,7,2,1,6,3]
[7,1,5,6,2,4,3,8]=>[8,3,4,2,6,5,1,7]
[6,2,7,3,5,4,8,1]=>[1,8,4,5,3,7,2,6]
[7,4,1,2,5,8,6,3]=>[3,6,8,5,2,1,4,7]
[2,7,4,8,3,6,5,1]=>[1,5,6,3,8,4,7,2]
[1,6,2,4,5,7,3,8]=>[8,3,7,5,4,2,6,1]
[6,2,7,3,5,8,4,1]=>[1,4,8,5,3,7,2,6]
[1,7,4,2,5,6,8,3]=>[3,8,6,5,2,4,7,1]
[5,7,8,4,6,2,3,1]=>[1,3,2,6,4,8,7,5]
[4,7,8,3,5,2,6,1]=>[1,6,2,5,3,8,7,4]
[2,6,8,5,7,3,4,1]=>[1,4,3,7,5,8,6,2]
[6,4,5,1,8,3,7,2]=>[2,7,3,8,1,5,4,6]
[5,3,1,2,6,4,7,8]=>[8,7,4,6,2,1,3,5]
[5,3,1,6,7,4,2,8]=>[8,2,4,7,6,1,3,5]
[7,5,1,2,3,6,4,8]=>[8,4,6,3,2,1,5,7]
[7,3,1,4,2,5,6,8]=>[8,6,5,2,4,1,3,7]
[5,3,4,6,8,7,2,1]=>[1,2,7,8,6,4,3,5]
[6,3,5,1,4,7,8,2]=>[2,8,7,4,1,5,3,6]
[8,6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6,8]
[5,4,1,3,8,7,2,6]=>[6,2,7,8,3,1,4,5]
[8,6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6,8]
[3,7,5,1,4,2,6,8]=>[8,6,2,4,1,5,7,3]
[3,6,1,7,4,5,8,2]=>[2,8,5,4,7,1,6,3]
[8,7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7,8]
[8,7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7,8]
[8,7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7,8]
[8,7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7,8]
[8,7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7,8]
[8,7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7,8]
[8,7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7,8]
[6,2,5,3,4,7,8,1]=>[1,8,7,4,3,5,2,6]
[1,6,4,7,3,2,5,8]=>[8,5,2,3,7,4,6,1]
[1,4,2,6,5,7,8,3]=>[3,8,7,5,6,2,4,1]
[1,5,6,8,7,2,4,3]=>[3,4,2,7,8,6,5,1]
[1,3,6,4,2,7,8,5]=>[5,8,7,2,4,6,3,1]
[1,2,7,3,4,6,8,5]=>[5,8,6,4,3,7,2,1]
[1,4,3,8,5,2,6,7]=>[7,6,2,5,8,3,4,1]
[1,4,3,6,7,2,5,8]=>[8,5,2,7,6,3,4,1]
[1,5,4,2,7,8,6,3]=>[3,6,8,7,2,4,5,1]
[6,7,4,3,2,8,5,1]=>[1,5,8,2,3,4,7,6]
[4,7,6,3,2,1,8,5]=>[5,8,1,2,3,6,7,4]
[4,3,6,7,2,5,1,8]=>[8,1,5,2,7,6,3,4]
[5,1,4,6,2,7,3,8]=>[8,3,7,2,6,4,1,5]
[2,7,1,6,8,5,3,4]=>[4,3,5,8,6,1,7,2]
[5,3,6,8,7,4,2,1]=>[1,2,4,7,8,6,3,5]
[2,7,3,5,6,8,1,4]=>[4,1,8,6,5,3,7,2]
[4,6,5,7,3,1,8,2]=>[2,8,1,3,7,5,6,4]
[3,4,1,6,8,5,2,7]=>[7,2,5,8,6,1,4,3]
[2,3,5,6,4,8,1,7]=>[7,1,8,4,6,5,3,2]
[4,6,7,5,2,8,1,3]=>[3,1,8,2,5,7,6,4]
[4,6,8,1,3,2,7,5]=>[5,7,2,3,1,8,6,4]
[4,7,6,3,5,1,2,8]=>[8,2,1,5,3,6,7,4]
[4,8,3,1,6,5,2,7]=>[7,2,5,6,1,3,8,4]
[3,8,2,4,6,5,1,7]=>[7,1,5,6,4,2,8,3]
[4,7,8,5,2,6,3,1]=>[1,3,6,2,5,8,7,4]
[2,8,1,5,3,6,4,7]=>[7,4,6,3,5,1,8,2]
[7,2,4,1,5,8,3,6]=>[6,3,8,5,1,4,2,7]
[3,1,4,6,8,5,2,7]=>[7,2,5,8,6,4,1,3]
[2,5,1,8,4,3,6,7]=>[7,6,3,4,8,1,5,2]
[4,1,6,3,2,8,5,7]=>[7,5,8,2,3,6,1,4]
[4,6,2,3,1,8,5,7]=>[7,5,8,1,3,2,6,4]
[5,8,3,4,6,7,1,2]=>[2,1,7,6,4,3,8,5]
[5,2,3,8,6,7,1,4]=>[4,1,7,6,8,3,2,5]
[3,2,5,8,6,7,1,4]=>[4,1,7,6,8,5,2,3]
[1,7,8,4,6,5,3,2]=>[2,3,5,6,4,8,7,1]
[2,1,5,8,6,3,4,7]=>[7,4,3,6,8,5,1,2]
[5,1,4,8,6,7,2,3]=>[3,2,7,6,8,4,1,5]
[2,1,3,5,8,6,4,7]=>[7,4,6,8,5,3,1,2]
[1,3,6,7,8,4,5,2]=>[2,5,4,8,7,6,3,1]
[1,3,7,8,4,5,2,6]=>[6,2,5,4,8,7,3,1]
[8,4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4,8]
[1,8,2,4,3,6,7,5]=>[5,7,6,3,4,2,8,1]
[8,1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1,8]
[8,5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5,8]
[8,4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4,8]
[8,7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7,8]
[8,7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7,8]
[8,1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1,8]
[2,5,3,1,7,4,6,8]=>[8,6,4,7,1,3,5,2]
[3,7,4,6,8,5,1,2]=>[2,1,5,8,6,4,7,3]
[5,4,3,1,2,6,8,7]=>[7,8,6,2,1,3,4,5]
[1,6,3,2,8,5,7,4]=>[4,7,5,8,2,3,6,1]
[2,5,3,6,4,8,1,7]=>[7,1,8,4,6,3,5,2]
[2,5,8,1,4,3,6,7]=>[7,6,3,4,1,8,5,2]
[2,3,8,1,7,5,4,6]=>[6,4,5,7,1,8,3,2]
[5,1,7,3,4,6,2,8]=>[8,2,6,4,3,7,1,5]
[6,2,3,7,5,8,4,1]=>[1,4,8,5,7,3,2,6]
[8,2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2,8]
[4,6,1,5,3,7,2,8]=>[8,2,7,3,5,1,6,4]
[4,8,2,5,3,6,1,7]=>[7,1,6,3,5,2,8,4]
[5,8,4,3,1,2,6,7]=>[7,6,2,1,3,4,8,5]
[6,5,4,1,7,3,2,8]=>[8,2,3,7,1,4,5,6]
[3,8,4,7,2,6,5,1]=>[1,5,6,2,7,4,8,3]
[8,2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2,8]
[2,1,8,3,5,4,6,7]=>[7,6,4,5,3,8,1,2]
[2,1,8,3,5,6,4,7]=>[7,4,6,5,3,8,1,2]
[6,1,3,5,8,4,7,2]=>[2,7,4,8,5,3,1,6]
[2,7,5,4,6,1,3,8]=>[8,3,1,6,4,5,7,2]
[7,1,4,8,2,5,6,3]=>[3,6,5,2,8,4,1,7]
[2,7,8,1,3,5,6,4]=>[4,6,5,3,1,8,7,2]
[7,2,1,6,8,5,3,4]=>[4,3,5,8,6,1,2,7]
[7,3,6,1,2,8,5,4]=>[4,5,8,2,1,6,3,7]
[7,2,1,8,4,6,3,5]=>[5,3,6,4,8,1,2,7]
[6,5,4,1,7,3,8,2]=>[2,8,3,7,1,4,5,6]
[6,5,3,4,1,8,7,2]=>[2,7,8,1,4,3,5,6]
[8,4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4,8]
[6,5,3,2,8,4,7,1]=>[1,7,4,8,2,3,5,6]
[3,2,4,8,5,1,6,7]=>[7,6,1,5,8,4,2,3]
[4,8,3,1,6,2,5,7]=>[7,5,2,6,1,3,8,4]
[8,3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3,8]
[6,2,1,3,4,7,5,8]=>[8,5,7,4,3,1,2,6]
[5,4,7,2,1,3,6,8]=>[8,6,3,1,2,7,4,5]
[5,8,3,2,4,6,7,1]=>[1,7,6,4,2,3,8,5]
[2,4,1,7,6,5,8,3]=>[3,8,5,6,7,1,4,2]
[8,1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1,8]
[2,7,4,3,8,1,6,5]=>[5,6,1,8,3,4,7,2]
[4,5,7,8,1,3,2,6]=>[6,2,3,1,8,7,5,4]
[4,1,7,5,3,8,2,6]=>[6,2,8,3,5,7,1,4]
[8,3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3,8]
[3,2,5,8,1,6,4,7]=>[7,4,6,1,8,5,2,3]
[3,1,2,4,5,8,7,6]=>[6,7,8,5,4,2,1,3]
[7,3,2,8,5,6,4,1]=>[1,4,6,5,8,2,3,7]
[7,3,6,2,5,8,4,1]=>[1,4,8,5,2,6,3,7]
[8,6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6,8]
[6,3,8,5,1,2,7,4]=>[4,7,2,1,5,8,3,6]
[1,4,5,8,3,7,2,6]=>[6,2,7,3,8,5,4,1]
[4,7,5,3,8,6,2,1]=>[1,2,6,8,3,5,7,4]
[6,3,1,5,8,4,7,2]=>[2,7,4,8,5,1,3,6]
[4,7,3,1,6,8,5,2]=>[2,5,8,6,1,3,7,4]
[7,5,4,1,6,8,3,2]=>[2,3,8,6,1,4,5,7]
[3,7,2,6,1,4,8,5]=>[5,8,4,1,6,2,7,3]
[2,8,7,4,6,5,1,3]=>[3,1,5,6,4,7,8,2]
[2,3,6,4,8,5,1,7]=>[7,1,5,8,4,6,3,2]
[7,2,5,1,8,6,3,4]=>[4,3,6,8,1,5,2,7]
[3,8,5,7,4,1,6,2]=>[2,6,1,4,7,5,8,3]
[8,4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4,8]
[4,8,5,7,2,3,6,1]=>[1,6,3,2,7,5,8,4]
[6,3,1,5,7,2,8,4]=>[4,8,2,7,5,1,3,6]
[6,4,1,3,8,2,7,5]=>[5,7,2,8,3,1,4,6]
[7,6,3,4,1,5,2,8]=>[8,2,5,1,4,3,6,7]
[4,8,5,2,6,3,1,7]=>[7,1,3,6,2,5,8,4]
[6,3,1,2,5,4,7,8]=>[8,7,4,5,2,1,3,6]
[7,8,1,5,3,4,2,6]=>[6,2,4,3,5,1,8,7]
[5,3,4,7,2,6,8,1]=>[1,8,6,2,7,4,3,5]
[8,2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2,8]
[1,5,4,8,6,7,3,2]=>[2,3,7,6,8,4,5,1]
[7,6,8,2,5,3,1,4]=>[4,1,3,5,2,8,6,7]
[2,3,8,5,4,1,7,6]=>[6,7,1,4,5,8,3,2]
[4,8,5,6,1,3,7,2]=>[2,7,3,1,6,5,8,4]
[1,2,5,8,6,3,4,7]=>[7,4,3,6,8,5,2,1]
[4,7,6,3,1,2,5,8]=>[8,5,2,1,3,6,7,4]
[3,1,4,5,8,7,6,2]=>[2,6,7,8,5,4,1,3]
[1,8,7,5,6,3,2,4]=>[4,2,3,6,5,7,8,1]
[2,8,5,1,3,6,4,7]=>[7,4,6,3,1,5,8,2]
[7,2,1,6,4,5,3,8]=>[8,3,5,4,6,1,2,7]
[7,6,1,5,4,2,3,8]=>[8,3,2,4,5,1,6,7]
[2,8,6,3,5,7,1,4]=>[4,1,7,5,3,6,8,2]
[7,3,4,6,1,8,5,2]=>[2,5,8,1,6,4,3,7]
[5,7,6,3,4,8,2,1]=>[1,2,8,4,3,6,7,5]
[5,6,8,3,4,7,2,1]=>[1,2,7,4,3,8,6,5]
[6,3,4,8,5,2,7,1]=>[1,7,2,5,8,4,3,6]
[5,4,7,2,8,6,3,1]=>[1,3,6,8,2,7,4,5]
[1,6,5,2,4,7,8,3]=>[3,8,7,4,2,5,6,1]
[7,4,2,3,8,1,5,6]=>[6,5,1,8,3,2,4,7]
[1,6,7,3,4,5,2,8]=>[8,2,5,4,3,7,6,1]
[5,8,6,3,4,2,7,1]=>[1,7,2,4,3,6,8,5]
[5,8,6,1,4,3,7,2]=>[2,7,3,4,1,6,8,5]
[7,8,5,2,4,6,1,3]=>[3,1,6,4,2,5,8,7]
[5,7,1,6,3,2,4,8]=>[8,4,2,3,6,1,7,5]
[5,8,6,2,4,3,7,1]=>[1,7,3,4,2,6,8,5]
[4,7,2,5,6,8,3,1]=>[1,3,8,6,5,2,7,4]
[5,6,4,8,3,2,7,1]=>[1,7,2,3,8,4,6,5]
[4,6,5,8,3,7,2,1]=>[1,2,7,3,8,5,6,4]
[4,5,7,1,8,3,2,6]=>[6,2,3,8,1,7,5,4]
[4,5,8,6,7,3,1,2]=>[2,1,3,7,6,8,5,4]
[4,5,2,8,7,3,6,1]=>[1,6,3,7,8,2,5,4]
[4,8,3,5,2,7,6,1]=>[1,6,7,2,5,3,8,4]
[5,2,8,3,1,7,6,4]=>[4,6,7,1,3,8,2,5]
[6,3,1,5,8,7,4,2]=>[2,4,7,8,5,1,3,6]
[8,6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6,8]
[6,4,1,8,3,5,2,7]=>[7,2,5,3,8,1,4,6]
[2,8,4,3,6,5,1,7]=>[7,1,5,6,3,4,8,2]
[2,8,1,4,6,5,3,7]=>[7,3,5,6,4,1,8,2]
[6,2,8,3,1,5,4,7]=>[7,4,5,1,3,8,2,6]
[8,5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5,8]
[5,8,6,2,1,7,4,3]=>[3,4,7,1,2,6,8,5]
[4,8,3,5,2,1,7,6]=>[6,7,1,2,5,3,8,4]
[6,2,7,3,4,8,1,5]=>[5,1,8,4,3,7,2,6]
[6,2,8,7,4,3,1,5]=>[5,1,3,4,7,8,2,6]
[1,4,8,7,3,2,5,6]=>[6,5,2,3,7,8,4,1]
[3,8,2,6,5,4,7,1]=>[1,7,4,5,6,2,8,3]
[7,8,5,2,6,3,4,1]=>[1,4,3,6,2,5,8,7]
[3,8,4,6,2,1,7,5]=>[5,7,1,2,6,4,8,3]
[3,8,5,6,2,1,7,4]=>[4,7,1,2,6,5,8,3]
[1,4,3,8,7,5,2,6]=>[6,2,5,7,8,3,4,1]
[4,8,7,2,3,5,6,1]=>[1,6,5,3,2,7,8,4]
[6,5,7,2,4,1,8,3]=>[3,8,1,4,2,7,5,6]
[8,5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5,8]
[8,5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5,8]
[6,5,1,4,8,2,7,3]=>[3,7,2,8,4,1,5,6]
[6,1,5,4,2,8,3,7]=>[7,3,8,2,4,5,1,6]
[5,2,6,7,3,1,8,4]=>[4,8,1,3,7,6,2,5]
[3,7,5,6,1,8,2,4]=>[4,2,8,1,6,5,7,3]
[7,8,2,6,4,3,1,5]=>[5,1,3,4,6,2,8,7]
[3,5,6,1,4,7,2,8]=>[8,2,7,4,1,6,5,3]
[5,8,4,2,7,1,3,6]=>[6,3,1,7,2,4,8,5]
[4,7,2,5,1,8,6,3]=>[3,6,8,1,5,2,7,4]
[2,5,4,3,7,1,8,6]=>[6,8,1,7,3,4,5,2]
[3,4,5,8,2,6,1,7]=>[7,1,6,2,8,5,4,3]
[1,8,4,3,6,7,2,5]=>[5,2,7,6,3,4,8,1]
[5,2,4,7,3,8,1,6]=>[6,1,8,3,7,4,2,5]
[6,7,3,4,2,8,5,1]=>[1,5,8,2,4,3,7,6]
[8,4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4,8]
[1,4,6,5,7,8,2,3]=>[3,2,8,7,5,6,4,1]
[2,8,7,4,3,5,6,1]=>[1,6,5,3,4,7,8,2]
[6,8,5,7,4,1,3,2]=>[2,3,1,4,7,5,8,6]
[6,8,1,7,5,3,2,4]=>[4,2,3,5,7,1,8,6]
[6,7,2,5,1,3,8,4]=>[4,8,3,1,5,2,7,6]
[8,4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4,8]
[5,2,6,3,1,4,7,8]=>[8,7,4,1,3,6,2,5]
[7,2,4,6,8,5,1,3]=>[3,1,5,8,6,4,2,7]
[8,1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1,8]
[4,8,7,2,3,6,5,1]=>[1,5,6,3,2,7,8,4]
[8,3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3,8]
[7,5,6,4,2,8,1,3]=>[3,1,8,2,4,6,5,7]
[7,4,5,6,2,8,3,1]=>[1,3,8,2,6,5,4,7]
[2,7,5,1,6,3,4,8]=>[8,4,3,6,1,5,7,2]
[4,3,1,2,7,6,5,8]=>[8,5,6,7,2,1,3,4]
[4,3,1,2,6,7,5,8]=>[8,5,7,6,2,1,3,4]
[2,4,6,3,7,1,5,8]=>[8,5,1,7,3,6,4,2]
[4,6,5,7,3,1,2,8]=>[8,2,1,3,7,5,6,4]
[8,2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2,8]
[1,5,3,8,6,2,7,4]=>[4,7,2,6,8,3,5,1]
[3,6,5,1,8,7,2,4]=>[4,2,7,8,1,5,6,3]
[4,6,8,1,2,7,3,5]=>[5,3,7,2,1,8,6,4]
[2,6,3,8,5,7,1,4]=>[4,1,7,5,8,3,6,2]
[4,8,6,3,1,2,5,7]=>[7,5,2,1,3,6,8,4]
[7,6,8,2,1,4,3,5]=>[5,3,4,1,2,8,6,7]
[7,3,4,2,1,6,8,5]=>[5,8,6,1,2,4,3,7]
[6,7,2,4,3,1,8,5]=>[5,8,1,3,4,2,7,6]
[4,7,2,1,8,6,3,5]=>[5,3,6,8,1,2,7,4]
[4,1,2,5,8,6,3,7]=>[7,3,6,8,5,2,1,4]
[4,1,6,2,8,5,3,7]=>[7,3,5,8,2,6,1,4]
[7,4,2,5,8,6,1,3]=>[3,1,6,8,5,2,4,7]
[7,6,4,2,5,8,1,3]=>[3,1,8,5,2,4,6,7]
[5,2,6,4,7,8,1,3]=>[3,1,8,7,4,6,2,5]
[1,5,4,7,8,2,3,6]=>[6,3,2,8,7,4,5,1]
[3,2,5,7,8,1,4,6]=>[6,4,1,8,7,5,2,3]
[1,4,6,3,7,8,2,5]=>[5,2,8,7,3,6,4,1]
[6,3,5,2,7,8,1,4]=>[4,1,8,7,2,5,3,6]
[4,1,7,8,6,2,5,3]=>[3,5,2,6,8,7,1,4]
[6,8,3,4,2,7,5,1]=>[1,5,7,2,4,3,8,6]
[4,8,2,7,3,1,6,5]=>[5,6,1,3,7,2,8,4]
[1,4,8,3,5,2,7,6]=>[6,7,2,5,3,8,4,1]
[7,4,6,8,2,5,3,1]=>[1,3,5,2,8,6,4,7]
[8,3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3,8]
[8,3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3,8]
[3,6,8,4,2,5,7,1]=>[1,7,5,2,4,8,6,3]
[2,5,8,3,4,7,6,1]=>[1,6,7,4,3,8,5,2]
[4,8,6,5,2,1,3,7]=>[7,3,1,2,5,6,8,4]
[1,5,3,6,7,2,4,8]=>[8,4,2,7,6,3,5,1]
[4,2,7,6,8,1,5,3]=>[3,5,1,8,6,7,2,4]
[8,5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5,8]
[5,2,4,6,3,7,8,1]=>[1,8,7,3,6,4,2,5]
[8,3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3,8]
[1,8,6,4,3,5,2,7]=>[7,2,5,3,4,6,8,1]
[4,6,2,5,3,7,1,8]=>[8,1,7,3,5,2,6,4]
[1,3,8,4,6,7,2,5]=>[5,2,7,6,4,8,3,1]
[6,3,7,1,4,2,5,8]=>[8,5,2,4,1,7,3,6]
[6,4,5,1,3,7,8,2]=>[2,8,7,3,1,5,4,6]
[7,1,4,3,6,8,5,2]=>[2,5,8,6,3,4,1,7]
[5,1,8,2,4,7,6,3]=>[3,6,7,4,2,8,1,5]
[4,7,5,2,8,3,6,1]=>[1,6,3,8,2,5,7,4]
[6,4,2,8,3,7,5,1]=>[1,5,7,3,8,2,4,6]
[6,5,2,7,3,8,4,1]=>[1,4,8,3,7,2,5,6]
[5,2,7,3,8,6,4,1]=>[1,4,6,8,3,7,2,5]
[2,7,3,8,6,5,4,1]=>[1,4,5,6,8,3,7,2]
[7,6,1,3,2,5,8,4]=>[4,8,5,2,3,1,6,7]
[6,2,8,7,3,1,4,5]=>[5,4,1,3,7,8,2,6]
[2,4,3,7,1,5,8,6]=>[6,8,5,1,7,3,4,2]
[5,1,3,8,4,2,6,7]=>[7,6,2,4,8,3,1,5]
[3,5,1,7,6,2,4,8]=>[8,4,2,6,7,1,5,3]
[4,2,5,6,3,8,7,1]=>[1,7,8,3,6,5,2,4]
[3,1,4,7,8,6,2,5]=>[5,2,6,8,7,4,1,3]
[7,6,8,2,4,3,1,5]=>[5,1,3,4,2,8,6,7]
[6,1,5,8,7,3,4,2]=>[2,4,3,7,8,5,1,6]
[1,5,8,4,3,7,2,6]=>[6,2,7,3,4,8,5,1]
[8,2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2,8]
[8,7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7,8]
[8,3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3,8]
[8,6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6,8]
[2,7,4,1,3,8,6,5]=>[5,6,8,3,1,4,7,2]
[4,5,8,7,2,1,3,6]=>[6,3,1,2,7,8,5,4]
[4,6,7,5,8,1,3,2]=>[2,3,1,8,5,7,6,4]
[5,4,2,8,1,7,3,6]=>[6,3,7,1,8,2,4,5]
[7,6,4,2,1,8,5,3]=>[3,5,8,1,2,4,6,7]
[6,5,1,8,3,2,4,7]=>[7,4,2,3,8,1,5,6]
[2,4,8,3,5,1,7,6]=>[6,7,1,5,3,8,4,2]
[8,6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6,8]
[5,1,2,8,3,4,7,6]=>[6,7,4,3,8,2,1,5]
[1,2,6,3,5,4,8,7]=>[7,8,4,5,3,6,2,1]
[4,6,3,2,5,7,1,8]=>[8,1,7,5,2,3,6,4]
[6,2,3,7,1,8,4,5]=>[5,4,8,1,7,3,2,6]
[3,6,7,1,5,2,4,8]=>[8,4,2,5,1,7,6,3]
[4,5,7,2,3,1,6,8]=>[8,6,1,3,2,7,5,4]
[6,2,7,4,1,3,5,8]=>[8,5,3,1,4,7,2,6]
[1,8,3,6,5,2,4,7]=>[7,4,2,5,6,3,8,1]
[4,5,7,3,1,2,6,8]=>[8,6,2,1,3,7,5,4]
[6,7,1,2,5,3,4,8]=>[8,4,3,5,2,1,7,6]
[3,1,2,7,4,6,5,8]=>[8,5,6,4,7,2,1,3]
[4,3,2,7,1,8,5,6]=>[6,5,8,1,7,2,3,4]
[3,1,5,2,8,6,4,7]=>[7,4,6,8,2,5,1,3]
[2,5,4,8,6,7,1,3]=>[3,1,7,6,8,4,5,2]
[2,7,6,3,1,8,5,4]=>[4,5,8,1,3,6,7,2]
[5,2,7,1,6,8,4,3]=>[3,4,8,6,1,7,2,5]
[6,2,4,7,1,5,3,8]=>[8,3,5,1,7,4,2,6]
[2,4,6,7,3,1,5,8]=>[8,5,1,3,7,6,4,2]
[1,3,4,7,8,5,2,6]=>[6,2,5,8,7,4,3,1]
[7,6,1,3,4,5,2,8]=>[8,2,5,4,3,1,6,7]
[7,1,4,5,6,3,2,8]=>[8,2,3,6,5,4,1,7]
[5,6,8,4,7,1,2,3]=>[3,2,1,7,4,8,6,5]
[3,1,8,6,5,4,7,2]=>[2,7,4,5,6,8,1,3]
[1,8,5,2,4,3,6,7]=>[7,6,3,4,2,5,8,1]
[8,6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6,8]
[6,7,1,3,2,4,5,8]=>[8,5,4,2,3,1,7,6]
[7,2,1,4,6,8,3,5]=>[5,3,8,6,4,1,2,7]
[8,2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2,8]
[6,1,3,2,4,5,7,8]=>[8,7,5,4,2,3,1,6]
[3,8,6,7,1,2,5,4]=>[4,5,2,1,7,6,8,3]
[2,8,1,7,3,6,5,4]=>[4,5,6,3,7,1,8,2]
[7,2,6,3,8,5,1,4]=>[4,1,5,8,3,6,2,7]
[7,2,3,6,1,4,5,8]=>[8,5,4,1,6,3,2,7]
[6,1,3,2,8,4,5,7]=>[7,5,4,8,2,3,1,6]
[8,2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2,8]
[8,1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1,8]
[8,1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1,8]
[8,2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2,8]
[4,1,7,8,5,6,2,3]=>[3,2,6,5,8,7,1,4]
[2,1,3,8,5,6,4,7]=>[7,4,6,5,8,3,1,2]
[7,4,6,2,5,8,3,1]=>[1,3,8,5,2,6,4,7]
[4,3,5,1,2,8,6,7]=>[7,6,8,2,1,5,3,4]
[5,1,3,6,8,7,4,2]=>[2,4,7,8,6,3,1,5]
[5,1,6,3,8,7,4,2]=>[2,4,7,8,3,6,1,5]
[2,7,4,3,8,6,5,1]=>[1,5,6,8,3,4,7,2]
[4,7,5,3,2,1,8,6]=>[6,8,1,2,3,5,7,4]
[2,7,5,8,4,6,1,3]=>[3,1,6,4,8,5,7,2]
[5,4,7,3,1,6,2,8]=>[8,2,6,1,3,7,4,5]
[8,3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3,8]
[1,3,2,4,8,7,5,6]=>[6,5,7,8,4,2,3,1]
[1,6,5,8,4,2,7,3]=>[3,7,2,4,8,5,6,1]
[2,3,6,8,5,4,7,1]=>[1,7,4,5,8,6,3,2]
[4,2,1,7,5,6,3,8]=>[8,3,6,5,7,1,2,4]
[8,4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4,8]
[4,5,1,6,3,7,8,2]=>[2,8,7,3,6,1,5,4]
[3,7,5,6,8,1,4,2]=>[2,4,1,8,6,5,7,3]
[5,2,4,6,3,7,1,8]=>[8,1,7,3,6,4,2,5]
[5,4,2,6,3,8,1,7]=>[7,1,8,3,6,2,4,5]
[5,7,8,4,6,1,3,2]=>[2,3,1,6,4,8,7,5]
[2,3,5,8,6,4,1,7]=>[7,1,4,6,8,5,3,2]
[7,2,4,5,3,1,8,6]=>[6,8,1,3,5,4,2,7]
[2,7,4,5,3,1,8,6]=>[6,8,1,3,5,4,7,2]
[1,4,8,5,3,6,2,7]=>[7,2,6,3,5,8,4,1]
[7,1,4,8,3,2,5,6]=>[6,5,2,3,8,4,1,7]
[7,1,4,5,3,2,8,6]=>[6,8,2,3,5,4,1,7]
[2,3,7,1,5,4,8,6]=>[6,8,4,5,1,7,3,2]
[6,2,7,4,1,3,8,5]=>[5,8,3,1,4,7,2,6]
[2,4,7,6,5,1,3,8]=>[8,3,1,5,6,7,4,2]
[2,8,1,4,5,7,3,6]=>[6,3,7,5,4,1,8,2]
[1,4,3,8,2,7,6,5]=>[5,6,7,2,8,3,4,1]
[3,1,2,7,8,6,5,4]=>[4,5,6,8,7,2,1,3]
[3,1,5,4,2,8,7,6]=>[6,7,8,2,4,5,1,3]
[7,4,8,6,1,3,5,2]=>[2,5,3,1,6,8,4,7]
[5,4,1,7,8,3,6,2]=>[2,6,3,8,7,1,4,5]
[4,7,5,1,8,3,2,6]=>[6,2,3,8,1,5,7,4]
[1,7,6,3,4,8,5,2]=>[2,5,8,4,3,6,7,1]
[1,5,7,8,3,2,6,4]=>[4,6,2,3,8,7,5,1]
[8,2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2,8]
[8,3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3,8]
[4,7,5,6,2,1,3,8]=>[8,3,1,2,6,5,7,4]
[5,2,3,7,8,4,6,1]=>[1,6,4,8,7,3,2,5]
[5,2,4,3,7,8,6,1]=>[1,6,8,7,3,4,2,5]
[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]
[1,5,8,6,4,2,7,3]=>[3,7,2,4,6,8,5,1]
[3,1,7,6,2,5,4,8]=>[8,4,5,2,6,7,1,3]
[1,8,5,4,7,3,6,2]=>[2,6,3,7,4,5,8,1]
[7,5,1,3,4,6,8,2]=>[2,8,6,4,3,1,5,7]
[8,1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1,8]
[5,6,2,1,3,7,8,4]=>[4,8,7,3,1,2,6,5]
[8,2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2,8]
[2,7,1,6,3,4,5,8]=>[8,5,4,3,6,1,7,2]
[6,2,1,3,5,4,7,8]=>[8,7,4,5,3,1,2,6]
[6,1,4,3,2,5,7,8]=>[8,7,5,2,3,4,1,6]
[4,6,2,8,7,3,5,1]=>[1,5,3,7,8,2,6,4]
[1,7,8,3,4,6,5,2]=>[2,5,6,4,3,8,7,1]
[8,3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3,8]
[2,7,8,6,1,4,5,3]=>[3,5,4,1,6,8,7,2]
[2,5,6,8,4,7,3,1]=>[1,3,7,4,8,6,5,2]
[7,3,6,1,2,5,8,4]=>[4,8,5,2,1,6,3,7]
[3,6,5,1,2,7,8,4]=>[4,8,7,2,1,5,6,3]
[8,5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5,8]
[4,1,3,8,6,7,2,5]=>[5,2,7,6,8,3,1,4]
[2,4,1,7,6,3,5,8]=>[8,5,3,6,7,1,4,2]
[2,7,3,6,4,1,5,8]=>[8,5,1,4,6,3,7,2]
[8,7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7,8]
[8,4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4,8]
[5,8,6,3,4,7,1,2]=>[2,1,7,4,3,6,8,5]
[5,7,4,6,1,2,8,3]=>[3,8,2,1,6,4,7,5]
[7,5,2,1,4,6,3,8]=>[8,3,6,4,1,2,5,7]
[7,5,2,4,1,6,3,8]=>[8,3,6,1,4,2,5,7]
[5,4,7,6,1,3,8,2]=>[2,8,3,1,6,7,4,5]
[5,4,7,1,6,3,8,2]=>[2,8,3,6,1,7,4,5]
[7,4,5,1,6,2,3,8]=>[8,3,2,6,1,5,4,7]
[3,5,2,1,6,4,8,7]=>[7,8,4,6,1,2,5,3]
[8,2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2,8]
[5,4,1,3,7,8,6,2]=>[2,6,8,7,3,1,4,5]
[7,2,6,8,1,4,5,3]=>[3,5,4,1,8,6,2,7]
[7,3,2,1,5,6,8,4]=>[4,8,6,5,1,2,3,7]
[8,7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7,8]
[7,2,1,4,8,3,6,5]=>[5,6,3,8,4,1,2,7]
[8,1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1,8]
[7,3,2,1,5,8,4,6]=>[6,4,8,5,1,2,3,7]
[7,6,2,8,1,5,4,3]=>[3,4,5,1,8,2,6,7]
[7,2,4,8,3,1,6,5]=>[5,6,1,3,8,4,2,7]
[1,5,7,4,6,2,3,8]=>[8,3,2,6,4,7,5,1]
[8,2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2,8]
[2,3,7,4,6,1,5,8]=>[8,5,1,6,4,7,3,2]
[8,4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4,8]
[1,4,6,3,5,7,2,8]=>[8,2,7,5,3,6,4,1]
[2,5,4,8,7,3,1,6]=>[6,1,3,7,8,4,5,2]
[1,7,4,3,8,2,6,5]=>[5,6,2,8,3,4,7,1]
[7,4,6,1,5,8,3,2]=>[2,3,8,5,1,6,4,7]
[1,6,5,8,4,7,3,2]=>[2,3,7,4,8,5,6,1]
[7,3,4,2,1,8,5,6]=>[6,5,8,1,2,4,3,7]
[1,6,5,8,4,3,7,2]=>[2,7,3,4,8,5,6,1]
[1,3,4,7,5,2,6,8]=>[8,6,2,5,7,4,3,1]
[2,5,1,6,4,7,8,3]=>[3,8,7,4,6,1,5,2]
[2,4,1,5,7,8,6,3]=>[3,6,8,7,5,1,4,2]
[4,1,5,3,7,8,6,2]=>[2,6,8,7,3,5,1,4]
[4,1,6,8,5,3,2,7]=>[7,2,3,5,8,6,1,4]
[2,4,8,6,5,3,1,7]=>[7,1,3,5,6,8,4,2]
[6,8,7,4,1,2,5,3]=>[3,5,2,1,4,7,8,6]
[7,5,2,3,6,4,8,1]=>[1,8,4,6,3,2,5,7]
[4,3,8,6,5,1,7,2]=>[2,7,1,5,6,8,3,4]
[2,4,5,8,6,3,7,1]=>[1,7,3,6,8,5,4,2]
[2,3,5,4,6,8,1,7]=>[7,1,8,6,4,5,3,2]
[4,3,7,8,5,6,1,2]=>[2,1,6,5,8,7,3,4]
[5,3,6,4,8,1,7,2]=>[2,7,1,8,4,6,3,5]
[7,2,8,4,6,3,1,5]=>[5,1,3,6,4,8,2,7]
[6,5,2,8,3,4,1,7]=>[7,1,4,3,8,2,5,6]
[8,3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3,8]
[3,7,6,4,1,2,5,8]=>[8,5,2,1,4,6,7,3]
[1,4,2,8,7,5,6,3]=>[3,6,5,7,8,2,4,1]
[8,6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6,8]
[5,6,2,4,3,8,7,1]=>[1,7,8,3,4,2,6,5]
[3,8,2,5,6,4,7,1]=>[1,7,4,6,5,2,8,3]
[2,1,7,4,6,8,5,3]=>[3,5,8,6,4,7,1,2]
[1,5,7,3,4,6,2,8]=>[8,2,6,4,3,7,5,1]
[8,7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7,8]
[8,4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4,8]
[8,4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4,8]
[5,8,4,6,2,3,7,1]=>[1,7,3,2,6,4,8,5]
[4,7,8,2,3,5,1,6]=>[6,1,5,3,2,8,7,4]
[6,8,5,2,4,1,3,7]=>[7,3,1,4,2,5,8,6]
[7,2,6,1,5,4,8,3]=>[3,8,4,5,1,6,2,7]
[7,3,6,2,1,5,8,4]=>[4,8,5,1,2,6,3,7]
[7,4,3,6,1,2,8,5]=>[5,8,2,1,6,3,4,7]
[7,5,1,4,3,6,2,8]=>[8,2,6,3,4,1,5,7]
[7,3,6,5,2,8,1,4]=>[4,1,8,2,5,6,3,7]
[7,2,6,5,1,8,4,3]=>[3,4,8,1,5,6,2,7]
[5,2,4,1,8,7,3,6]=>[6,3,7,8,1,4,2,5]
[6,1,3,7,8,4,2,5]=>[5,2,4,8,7,3,1,6]
[5,4,1,7,2,6,8,3]=>[3,8,6,2,7,1,4,5]
[2,5,1,7,4,6,8,3]=>[3,8,6,4,7,1,5,2]
[6,8,5,7,2,3,4,1]=>[1,4,3,2,7,5,8,6]
[4,3,5,7,8,1,6,2]=>[2,6,1,8,7,5,3,4]
[4,5,8,2,7,1,6,3]=>[3,6,1,7,2,8,5,4]
[1,7,3,5,8,2,4,6]=>[6,4,2,8,5,3,7,1]
[4,6,8,7,1,2,5,3]=>[3,5,2,1,7,8,6,4]
[3,7,6,8,1,2,4,5]=>[5,4,2,1,8,6,7,3]
[3,7,8,6,1,2,5,4]=>[4,5,2,1,6,8,7,3]
[6,8,5,3,4,2,7,1]=>[1,7,2,4,3,5,8,6]
[3,1,7,6,8,4,5,2]=>[2,5,4,8,6,7,1,3]
[2,3,7,6,8,4,5,1]=>[1,5,4,8,6,7,3,2]
[8,3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3,8]
[8,5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5,8]
[7,3,5,1,4,6,8,2]=>[2,8,6,4,1,5,3,7]
[7,2,1,5,8,6,4,3]=>[3,4,6,8,5,1,2,7]
[6,5,7,1,8,4,2,3]=>[3,2,4,8,1,7,5,6]
[7,3,6,4,2,1,5,8]=>[8,5,1,2,4,6,3,7]
[6,2,3,7,1,5,8,4]=>[4,8,5,1,7,3,2,6]
[6,8,3,2,7,4,5,1]=>[1,5,4,7,2,3,8,6]
[6,3,2,5,7,8,4,1]=>[1,4,8,7,5,2,3,6]
[4,6,7,3,2,1,5,8]=>[8,5,1,2,3,7,6,4]
[4,7,5,3,2,6,1,8]=>[8,1,6,2,3,5,7,4]
[4,7,5,3,2,1,6,8]=>[8,6,1,2,3,5,7,4]
[5,1,3,4,7,6,2,8]=>[8,2,6,7,4,3,1,5]
[4,7,3,6,2,1,5,8]=>[8,5,1,2,6,3,7,4]
[3,5,8,4,2,6,7,1]=>[1,7,6,2,4,8,5,3]
[7,5,2,4,6,1,3,8]=>[8,3,1,6,4,2,5,7]
[5,8,6,1,3,7,4,2]=>[2,4,7,3,1,6,8,5]
[2,7,4,5,8,6,3,1]=>[1,3,6,8,5,4,7,2]
[6,1,5,2,4,7,3,8]=>[8,3,7,4,2,5,1,6]
[3,7,1,4,6,5,8,2]=>[2,8,5,6,4,1,7,3]
[8,5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5,8]
[7,4,2,3,8,6,1,5]=>[5,1,6,8,3,2,4,7]
[5,3,8,6,4,7,1,2]=>[2,1,7,4,6,8,3,5]
[3,2,8,6,7,5,4,1]=>[1,4,5,7,6,8,2,3]
[1,7,3,4,5,8,6,2]=>[2,6,8,5,4,3,7,1]
[8,5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5,8]
[6,1,4,5,7,8,3,2]=>[2,3,8,7,5,4,1,6]
[2,6,4,8,5,1,3,7]=>[7,3,1,5,8,4,6,2]
[2,3,6,5,1,4,7,8]=>[8,7,4,1,5,6,3,2]
[2,6,5,3,7,1,4,8]=>[8,4,1,7,3,5,6,2]
[2,6,3,1,5,7,4,8]=>[8,4,7,5,1,3,6,2]
[8,3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3,8]
[1,3,8,6,7,4,2,5]=>[5,2,4,7,6,8,3,1]
[7,5,2,4,1,6,8,3]=>[3,8,6,1,4,2,5,7]
[3,6,2,1,8,4,5,7]=>[7,5,4,8,1,2,6,3]
[5,1,3,7,4,2,8,6]=>[6,8,2,4,7,3,1,5]
[4,3,5,8,2,6,7,1]=>[1,7,6,2,8,5,3,4]
[4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]
[7,6,3,5,8,1,4,2]=>[2,4,1,8,5,3,6,7]
[8,3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3,8]
[7,1,3,8,5,4,6,2]=>[2,6,4,5,8,3,1,7]
[8,3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3,8]
[3,6,4,2,5,8,7,1]=>[1,7,8,5,2,4,6,3]
[2,8,7,3,6,4,1,5]=>[5,1,4,6,3,7,8,2]
[6,1,4,5,8,7,2,3]=>[3,2,7,8,5,4,1,6]
[5,1,3,6,8,7,2,4]=>[4,2,7,8,6,3,1,5]
[5,6,3,1,4,7,8,2]=>[2,8,7,4,1,3,6,5]
[6,7,2,1,5,4,3,8]=>[8,3,4,5,1,2,7,6]
[5,2,7,3,4,1,6,8]=>[8,6,1,4,3,7,2,5]
[8,3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3,8]
[6,8,7,2,5,3,4,1]=>[1,4,3,5,2,7,8,6]
[2,6,8,5,3,7,4,1]=>[1,4,7,3,5,8,6,2]
[2,7,3,4,6,8,5,1]=>[1,5,8,6,4,3,7,2]
[4,5,3,7,2,6,8,1]=>[1,8,6,2,7,3,5,4]
[3,4,7,5,1,2,6,8]=>[8,6,2,1,5,7,4,3]
[2,3,7,5,1,4,6,8]=>[8,6,4,1,5,7,3,2]
[1,3,8,7,2,6,5,4]=>[4,5,6,2,7,8,3,1]
[1,3,7,4,2,6,5,8]=>[8,5,6,2,4,7,3,1]
[7,1,6,2,4,8,5,3]=>[3,5,8,4,2,6,1,7]
[6,1,4,5,7,3,2,8]=>[8,2,3,7,5,4,1,6]
[2,4,7,1,5,6,3,8]=>[8,3,6,5,1,7,4,2]
[3,7,4,5,6,1,8,2]=>[2,8,1,6,5,4,7,3]
[1,3,7,5,8,4,2,6]=>[6,2,4,8,5,7,3,1]
[2,8,4,7,1,5,6,3]=>[3,6,5,1,7,4,8,2]
[2,7,8,1,4,3,5,6]=>[6,5,3,4,1,8,7,2]
[6,8,3,5,7,2,1,4]=>[4,1,2,7,5,3,8,6]
[6,8,3,5,7,4,2,1]=>[1,2,4,7,5,3,8,6]
[7,2,3,8,4,5,1,6]=>[6,1,5,4,8,3,2,7]
[6,2,8,7,3,4,1,5]=>[5,1,4,3,7,8,2,6]
[6,2,8,7,3,1,5,4]=>[4,5,1,3,7,8,2,6]
[5,4,6,2,8,1,3,7]=>[7,3,1,8,2,6,4,5]
[2,6,7,1,4,8,5,3]=>[3,5,8,4,1,7,6,2]
[7,3,2,8,1,5,6,4]=>[4,6,5,1,8,2,3,7]
[5,3,1,2,8,7,6,4]=>[4,6,7,8,2,1,3,5]
[2,4,7,5,6,1,8,3]=>[3,8,1,6,5,7,4,2]
[3,8,7,1,6,4,2,5]=>[5,2,4,6,1,7,8,3]
[5,4,6,3,2,8,1,7]=>[7,1,8,2,3,6,4,5]
[5,6,3,2,4,8,1,7]=>[7,1,8,4,2,3,6,5]
[4,6,5,1,2,8,3,7]=>[7,3,8,2,1,5,6,4]
[1,3,8,4,5,6,2,7]=>[7,2,6,5,4,8,3,1]
[1,8,7,3,6,5,2,4]=>[4,2,5,6,3,7,8,1]
[1,6,7,4,2,5,3,8]=>[8,3,5,2,4,7,6,1]
[1,4,3,8,6,2,7,5]=>[5,7,2,6,8,3,4,1]
[8,7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7,8]
[7,8,3,2,6,4,5,1]=>[1,5,4,6,2,3,8,7]
[2,7,5,1,4,3,6,8]=>[8,6,3,4,1,5,7,2]
[5,3,8,4,6,2,1,7]=>[7,1,2,6,4,8,3,5]
[7,4,2,5,3,1,8,6]=>[6,8,1,3,5,2,4,7]
[7,2,4,6,5,1,3,8]=>[8,3,1,5,6,4,2,7]
[6,2,3,1,4,7,5,8]=>[8,5,7,4,1,3,2,6]
[3,4,2,8,7,5,6,1]=>[1,6,5,7,8,2,4,3]
[2,4,6,5,1,3,7,8]=>[8,7,3,1,5,6,4,2]
[7,5,8,6,4,3,1,2]=>[2,1,3,4,6,8,5,7]
[5,8,1,7,6,3,2,4]=>[4,2,3,6,7,1,8,5]
[1,6,8,3,5,7,4,2]=>[2,4,7,5,3,8,6,1]
[7,8,2,1,6,4,3,5]=>[5,3,4,6,1,2,8,7]
[6,3,8,2,7,5,4,1]=>[1,4,5,7,2,8,3,6]
[5,1,4,2,8,6,3,7]=>[7,3,6,8,2,4,1,5]
[1,7,5,3,4,2,6,8]=>[8,6,2,4,3,5,7,1]
[1,7,5,3,4,2,8,6]=>[6,8,2,4,3,5,7,1]
[1,7,5,3,4,6,2,8]=>[8,2,6,4,3,5,7,1]
[1,7,5,3,6,4,2,8]=>[8,2,4,6,3,5,7,1]
[1,7,8,5,3,2,4,6]=>[6,4,2,3,5,8,7,1]
[7,5,2,6,4,3,8,1]=>[1,8,3,4,6,2,5,7]
[5,6,8,1,4,7,2,3]=>[3,2,7,4,1,8,6,5]
[1,4,8,6,5,3,2,7]=>[7,2,3,5,6,8,4,1]
[1,5,8,4,6,3,2,7]=>[7,2,3,6,4,8,5,1]
[6,1,5,3,4,7,2,8]=>[8,2,7,4,3,5,1,6]
[7,6,1,8,4,3,5,2]=>[2,5,3,4,8,1,6,7]
[1,8,4,6,7,3,2,5]=>[5,2,3,7,6,4,8,1]
[1,2,7,4,6,3,5,8]=>[8,5,3,6,4,7,2,1]
[8,2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2,8]
[8,2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2,8]
[8,3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3,8]
[4,7,5,2,3,1,8,6]=>[6,8,1,3,2,5,7,4]
[5,4,7,2,3,1,8,6]=>[6,8,1,3,2,7,4,5]
[4,8,1,5,7,6,2,3]=>[3,2,6,7,5,1,8,4]
[7,6,1,8,5,3,4,2]=>[2,4,3,5,8,1,6,7]
[2,6,5,8,7,1,3,4]=>[4,3,1,7,8,5,6,2]
[4,7,5,2,6,8,1,3]=>[3,1,8,6,2,5,7,4]
[8,2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2,8]
[3,5,6,8,2,7,4,1]=>[1,4,7,2,8,6,5,3]
[4,5,6,8,1,7,3,2]=>[2,3,7,1,8,6,5,4]
[3,4,7,6,8,5,1,2]=>[2,1,5,8,6,7,4,3]
[5,6,7,1,8,2,4,3]=>[3,4,2,8,1,7,6,5]
[4,6,5,7,1,8,3,2]=>[2,3,8,1,7,5,6,4]
[3,6,8,2,7,5,4,1]=>[1,4,5,7,2,8,6,3]
[1,4,6,8,2,5,3,7]=>[7,3,5,2,8,6,4,1]
[3,4,7,5,1,6,2,8]=>[8,2,6,1,5,7,4,3]
[3,1,6,7,5,4,2,8]=>[8,2,4,5,7,6,1,3]
[4,6,2,5,3,7,8,1]=>[1,8,7,3,5,2,6,4]
[7,6,1,5,3,2,4,8]=>[8,4,2,3,5,1,6,7]
[6,7,8,2,1,3,5,4]=>[4,5,3,1,2,8,7,6]
[2,1,6,4,7,3,5,8]=>[8,5,3,7,4,6,1,2]
[7,1,5,3,4,6,2,8]=>[8,2,6,4,3,5,1,7]
[5,4,8,1,2,6,3,7]=>[7,3,6,2,1,8,4,5]
[5,8,4,3,1,2,7,6]=>[6,7,2,1,3,4,8,5]
[6,8,1,3,5,4,2,7]=>[7,2,4,5,3,1,8,6]
[6,7,5,2,8,3,4,1]=>[1,4,3,8,2,5,7,6]
[8,3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3,8]
[8,3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3,8]
[2,1,5,4,3,8,6,7]=>[7,6,8,3,4,5,1,2]
[3,8,6,1,5,4,2,7]=>[7,2,4,5,1,6,8,3]
[4,3,1,7,8,5,6,2]=>[2,6,5,8,7,1,3,4]
[6,8,4,1,5,3,2,7]=>[7,2,3,5,1,4,8,6]
[5,6,4,1,7,8,3,2]=>[2,3,8,7,1,4,6,5]
[3,2,7,6,4,8,1,5]=>[5,1,8,4,6,7,2,3]
[5,4,2,3,8,7,6,1]=>[1,6,7,8,3,2,4,5]
[2,3,8,6,7,4,1,5]=>[5,1,4,7,6,8,3,2]
[2,8,1,6,4,7,3,5]=>[5,3,7,4,6,1,8,2]
[8,6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6,8]
[7,3,6,8,4,2,5,1]=>[1,5,2,4,8,6,3,7]
[7,2,8,3,4,6,5,1]=>[1,5,6,4,3,8,2,7]
[1,5,6,2,4,3,7,8]=>[8,7,3,4,2,6,5,1]
[1,4,2,8,6,3,7,5]=>[5,7,3,6,8,2,4,1]
[2,4,8,7,5,3,6,1]=>[1,6,3,5,7,8,4,2]
[3,7,4,6,1,8,2,5]=>[5,2,8,1,6,4,7,3]
[5,8,4,6,7,3,1,2]=>[2,1,3,7,6,4,8,5]
[2,7,3,6,8,1,4,5]=>[5,4,1,8,6,3,7,2]
[6,7,2,3,8,5,1,4]=>[4,1,5,8,3,2,7,6]
[4,7,2,3,8,6,1,5]=>[5,1,6,8,3,2,7,4]
[4,5,1,2,8,6,3,7]=>[7,3,6,8,2,1,5,4]
[4,5,2,7,3,6,8,1]=>[1,8,6,3,7,2,5,4]
[4,8,7,2,3,5,1,6]=>[6,1,5,3,2,7,8,4]
[5,6,7,2,1,4,3,8]=>[8,3,4,1,2,7,6,5]
[8,1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1,8]
[7,8,4,5,2,6,3,1]=>[1,3,6,2,5,4,8,7]
[2,8,5,3,7,1,6,4]=>[4,6,1,7,3,5,8,2]
[3,2,6,1,8,5,7,4]=>[4,7,5,8,1,6,2,3]
[7,2,6,1,4,5,8,3]=>[3,8,5,4,1,6,2,7]
[8,2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2,8]
[3,1,8,4,2,6,5,7]=>[7,5,6,2,4,8,1,3]
[2,1,8,4,3,6,7,5]=>[5,7,6,3,4,8,1,2]
[5,4,3,8,6,1,7,2]=>[2,7,1,6,8,3,4,5]
[2,1,8,4,7,5,3,6]=>[6,3,5,7,4,8,1,2]
[5,1,2,7,4,6,8,3]=>[3,8,6,4,7,2,1,5]
[4,8,5,6,1,2,3,7]=>[7,3,2,1,6,5,8,4]
[6,1,2,5,7,3,4,8]=>[8,4,3,7,5,2,1,6]
[6,4,3,1,7,5,2,8]=>[8,2,5,7,1,3,4,6]
[5,1,2,6,7,4,3,8]=>[8,3,4,7,6,2,1,5]
[3,6,4,1,7,5,2,8]=>[8,2,5,7,1,4,6,3]
[6,5,3,1,7,4,2,8]=>[8,2,4,7,1,3,5,6]
[7,8,2,3,6,5,4,1]=>[1,4,5,6,3,2,8,7]
[7,2,8,6,3,5,4,1]=>[1,4,5,3,6,8,2,7]
[1,8,7,5,2,4,3,6]=>[6,3,4,2,5,7,8,1]
[7,1,5,2,6,4,8,3]=>[3,8,4,6,2,5,1,7]
[6,1,5,4,8,3,7,2]=>[2,7,3,8,4,5,1,6]
[8,3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3,8]
[8,3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3,8]
[3,8,6,4,2,5,7,1]=>[1,7,5,2,4,6,8,3]
[6,4,8,7,1,2,3,5]=>[5,3,2,1,7,8,4,6]
[5,4,6,8,7,2,3,1]=>[1,3,2,7,8,6,4,5]
[4,5,6,8,7,1,3,2]=>[2,3,1,7,8,6,5,4]
[7,2,6,8,1,5,3,4]=>[4,3,5,1,8,6,2,7]
[7,1,4,2,3,6,5,8]=>[8,5,6,3,2,4,1,7]
[4,7,2,1,6,8,5,3]=>[3,5,8,6,1,2,7,4]
[4,7,3,1,6,5,8,2]=>[2,8,5,6,1,3,7,4]
[2,7,4,1,5,6,3,8]=>[8,3,6,5,1,4,7,2]
[6,4,5,3,1,8,2,7]=>[7,2,8,1,3,5,4,6]
[2,5,7,6,1,3,4,8]=>[8,4,3,1,6,7,5,2]
[4,5,7,6,3,1,2,8]=>[8,2,1,3,6,7,5,4]
[3,7,4,6,5,2,1,8]=>[8,1,2,5,6,4,7,3]
[3,6,2,8,1,7,5,4]=>[4,5,7,1,8,2,6,3]
[2,6,7,4,3,5,1,8]=>[8,1,5,3,4,7,6,2]
[8,7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7,8]
[8,2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2,8]
[2,7,5,6,4,3,1,8]=>[8,1,3,4,6,5,7,2]
[1,3,6,7,8,4,2,5]=>[5,2,4,8,7,6,3,1]
[5,4,7,2,3,1,6,8]=>[8,6,1,3,2,7,4,5]
[3,7,4,6,2,5,1,8]=>[8,1,5,2,6,4,7,3]
[3,7,4,2,5,8,1,6]=>[6,1,8,5,2,4,7,3]
[8,2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2,8]
[8,2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2,8]
[6,7,1,2,5,8,3,4]=>[4,3,8,5,2,1,7,6]
[5,8,6,2,7,4,3,1]=>[1,3,4,7,2,6,8,5]
[2,8,7,4,5,6,1,3]=>[3,1,6,5,4,7,8,2]
[6,7,2,8,4,3,5,1]=>[1,5,3,4,8,2,7,6]
[4,2,7,5,3,6,8,1]=>[1,8,6,3,5,7,2,4]
[6,2,1,5,4,7,8,3]=>[3,8,7,4,5,1,2,6]
[1,2,8,6,3,5,4,7]=>[7,4,5,3,6,8,2,1]
[2,4,3,7,6,1,5,8]=>[8,5,1,6,7,3,4,2]
[8,4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4,8]
[5,1,2,8,7,3,4,6]=>[6,4,3,7,8,2,1,5]
[1,6,3,4,8,2,5,7]=>[7,5,2,8,4,3,6,1]
[6,5,2,7,8,3,1,4]=>[4,1,3,8,7,2,5,6]
[5,8,1,4,6,7,3,2]=>[2,3,7,6,4,1,8,5]
[7,4,2,5,1,6,8,3]=>[3,8,6,1,5,2,4,7]
[7,3,6,4,1,5,8,2]=>[2,8,5,1,4,6,3,7]
[8,6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6,8]
[2,6,1,7,8,4,5,3]=>[3,5,4,8,7,1,6,2]
[1,7,4,8,6,5,2,3]=>[3,2,5,6,8,4,7,1]
[2,3,7,1,8,4,6,5]=>[5,6,4,8,1,7,3,2]
[2,4,7,5,3,1,6,8]=>[8,6,1,3,5,7,4,2]
[3,1,5,7,4,6,2,8]=>[8,2,6,4,7,5,1,3]
[2,5,1,8,3,6,7,4]=>[4,7,6,3,8,1,5,2]
[2,3,7,1,4,6,5,8]=>[8,5,6,4,1,7,3,2]
[2,8,4,7,5,1,3,6]=>[6,3,1,5,7,4,8,2]
[8,5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5,8]
[2,7,6,4,3,5,1,8]=>[8,1,5,3,4,6,7,2]
[2,7,6,4,3,1,8,5]=>[5,8,1,3,4,6,7,2]
[5,1,8,6,2,3,7,4]=>[4,7,3,2,6,8,1,5]
[3,1,7,5,8,4,6,2]=>[2,6,4,8,5,7,1,3]
[4,7,1,2,3,6,5,8]=>[8,5,6,3,2,1,7,4]
[4,1,5,6,3,7,2,8]=>[8,2,7,3,6,5,1,4]
[3,5,4,1,6,8,2,7]=>[7,2,8,6,1,4,5,3]
[7,3,6,5,8,4,1,2]=>[2,1,4,8,5,6,3,7]
[7,2,6,5,8,1,4,3]=>[3,4,1,8,5,6,2,7]
[1,7,4,6,3,2,5,8]=>[8,5,2,3,6,4,7,1]
[1,5,4,2,8,7,6,3]=>[3,6,7,8,2,4,5,1]
[1,6,2,7,3,5,8,4]=>[4,8,5,3,7,2,6,1]
[1,5,7,4,3,2,6,8]=>[8,6,2,3,4,7,5,1]
[5,6,8,4,2,3,7,1]=>[1,7,3,2,4,8,6,5]
[5,7,2,8,6,3,4,1]=>[1,4,3,6,8,2,7,5]
[7,2,1,4,6,5,8,3]=>[3,8,5,6,4,1,2,7]
[4,6,5,1,3,8,2,7]=>[7,2,8,3,1,5,6,4]
[3,8,2,1,6,7,4,5]=>[5,4,7,6,1,2,8,3]
[5,2,3,6,8,7,1,4]=>[4,1,7,8,6,3,2,5]
[8,2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2,8]
[8,4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4,8]
[3,8,5,2,1,7,4,6]=>[6,4,7,1,2,5,8,3]
[8,1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1,8]
[8,5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5,8]
[1,7,6,3,2,8,5,4]=>[4,5,8,2,3,6,7,1]
[4,8,2,3,1,7,5,6]=>[6,5,7,1,3,2,8,4]
[4,7,6,1,3,8,2,5]=>[5,2,8,3,1,6,7,4]
[6,1,3,2,7,5,4,8]=>[8,4,5,7,2,3,1,6]
[3,7,8,4,1,2,5,6]=>[6,5,2,1,4,8,7,3]
[3,6,4,5,7,8,1,2]=>[2,1,8,7,5,4,6,3]
[8,2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2,8]
[8,2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2,8]
[1,6,4,5,8,2,7,3]=>[3,7,2,8,5,4,6,1]
[5,7,2,3,4,8,1,6]=>[6,1,8,4,3,2,7,5]
[8,3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3,8]
[1,7,2,5,6,3,8,4]=>[4,8,3,6,5,2,7,1]
[7,3,5,6,2,1,8,4]=>[4,8,1,2,6,5,3,7]
[3,7,2,5,8,1,6,4]=>[4,6,1,8,5,2,7,3]
[3,1,8,4,2,5,7,6]=>[6,7,5,2,4,8,1,3]
[5,8,2,4,7,1,6,3]=>[3,6,1,7,4,2,8,5]
[3,2,8,7,4,1,6,5]=>[5,6,1,4,7,8,2,3]
[2,6,4,3,7,1,5,8]=>[8,5,1,7,3,4,6,2]
[3,7,1,6,5,4,2,8]=>[8,2,4,5,6,1,7,3]
[8,2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2,8]
[2,5,4,7,1,6,3,8]=>[8,3,6,1,7,4,5,2]
[1,4,8,5,3,7,2,6]=>[6,2,7,3,5,8,4,1]
[3,7,1,8,4,2,6,5]=>[5,6,2,4,8,1,7,3]
[7,1,4,6,8,3,2,5]=>[5,2,3,8,6,4,1,7]
[4,1,2,8,6,7,5,3]=>[3,5,7,6,8,2,1,4]
[4,5,8,6,7,2,1,3]=>[3,1,2,7,6,8,5,4]
[8,1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1,8]
[4,7,3,6,8,5,1,2]=>[2,1,5,8,6,3,7,4]
[8,2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2,8]
[3,8,7,1,5,2,4,6]=>[6,4,2,5,1,7,8,3]
[4,7,1,6,3,8,5,2]=>[2,5,8,3,6,1,7,4]
[2,6,8,7,4,1,5,3]=>[3,5,1,4,7,8,6,2]
[3,5,1,6,8,7,4,2]=>[2,4,7,8,6,1,5,3]
[3,6,2,8,5,7,4,1]=>[1,4,7,5,8,2,6,3]
[6,5,1,3,4,8,7,2]=>[2,7,8,4,3,1,5,6]
[8,5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5,8]
[3,5,2,4,1,6,8,7]=>[7,8,6,1,4,2,5,3]
[4,3,8,1,7,6,2,5]=>[5,2,6,7,1,8,3,4]
[6,7,2,1,3,5,8,4]=>[4,8,5,3,1,2,7,6]
[3,7,2,5,8,4,1,6]=>[6,1,4,8,5,2,7,3]
[8,2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2,8]
[4,6,3,1,8,5,2,7]=>[7,2,5,8,1,3,6,4]
[5,2,3,1,6,4,7,8]=>[8,7,4,6,1,3,2,5]
[4,3,1,7,2,8,6,5]=>[5,6,8,2,7,1,3,4]
[5,3,4,6,2,1,8,7]=>[7,8,1,2,6,4,3,5]
[6,1,4,5,2,3,7,8]=>[8,7,3,2,5,4,1,6]
[6,1,5,3,2,4,7,8]=>[8,7,4,2,3,5,1,6]
[6,1,5,4,2,3,7,8]=>[8,7,3,2,4,5,1,6]
[6,1,5,4,3,2,7,8]=>[8,7,2,3,4,5,1,6]
[3,7,6,4,5,2,1,8]=>[8,1,2,5,4,6,7,3]
[7,2,4,6,3,1,5,8]=>[8,5,1,3,6,4,2,7]
[3,8,7,5,1,4,6,2]=>[2,6,4,1,5,7,8,3]
[6,8,7,3,1,2,5,4]=>[4,5,2,1,3,7,8,6]
[4,8,6,3,2,5,7,1]=>[1,7,5,2,3,6,8,4]
[2,5,8,7,3,4,1,6]=>[6,1,4,3,7,8,5,2]
[4,6,7,3,1,2,5,8]=>[8,5,2,1,3,7,6,4]
[3,5,2,6,4,1,7,8]=>[8,7,1,4,6,2,5,3]
[6,5,1,4,8,3,7,2]=>[2,7,3,8,4,1,5,6]
[1,7,4,2,5,6,3,8]=>[8,3,6,5,2,4,7,1]
[8,3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3,8]
[8,5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5,8]
[8,1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1,8]
[8,2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2,8]
[8,3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3,8]
[6,8,3,4,5,1,2,7]=>[7,2,1,5,4,3,8,6]
[3,4,6,8,5,1,2,7]=>[7,2,1,5,8,6,4,3]
[8,5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5,8]
[5,7,3,2,4,8,1,6]=>[6,1,8,4,2,3,7,5]
[8,2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2,8]
[8,4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4,8]
[6,4,5,2,1,7,8,3]=>[3,8,7,1,2,5,4,6]
[4,1,8,6,7,2,3,5]=>[5,3,2,7,6,8,1,4]
[5,4,8,6,2,1,7,3]=>[3,7,1,2,6,8,4,5]
[5,4,8,1,6,7,3,2]=>[2,3,7,6,1,8,4,5]
[2,1,8,6,7,4,3,5]=>[5,3,4,7,6,8,1,2]
[2,6,3,4,1,7,5,8]=>[8,5,7,1,4,3,6,2]
[2,5,1,4,6,3,7,8]=>[8,7,3,6,4,1,5,2]
[6,5,4,1,3,7,2,8]=>[8,2,7,3,1,4,5,6]
[6,2,4,1,5,7,3,8]=>[8,3,7,5,1,4,2,6]
[7,1,2,8,5,3,6,4]=>[4,6,3,5,8,2,1,7]
[6,3,8,5,2,4,1,7]=>[7,1,4,2,5,8,3,6]
[1,5,3,8,7,2,4,6]=>[6,4,2,7,8,3,5,1]
[8,4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4,8]
[8,2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2,8]
[8,5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5,8]
[8,1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1,8]
[1,6,8,7,3,2,5,4]=>[4,5,2,3,7,8,6,1]
[2,3,8,7,5,1,4,6]=>[6,4,1,5,7,8,3,2]
[5,7,2,1,8,6,4,3]=>[3,4,6,8,1,2,7,5]
[5,2,4,6,3,8,1,7]=>[7,1,8,3,6,4,2,5]
[8,5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5,8]
[8,3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3,8]
[7,5,2,1,4,8,6,3]=>[3,6,8,4,1,2,5,7]
[3,4,7,1,8,5,2,6]=>[6,2,5,8,1,7,4,3]
[7,8,4,1,3,2,6,5]=>[5,6,2,3,1,4,8,7]
[3,8,2,1,6,5,7,4]=>[4,7,5,6,1,2,8,3]
[5,1,3,8,7,2,4,6]=>[6,4,2,7,8,3,1,5]
[5,7,6,2,1,4,3,8]=>[8,3,4,1,2,6,7,5]
[3,8,2,7,5,6,4,1]=>[1,4,6,5,7,2,8,3]
[8,6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6,8]
[1,6,3,2,8,7,5,4]=>[4,5,7,8,2,3,6,1]
[8,7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7,8]
[5,3,1,8,6,7,2,4]=>[4,2,7,6,8,1,3,5]
[4,8,2,6,7,3,5,1]=>[1,5,3,7,6,2,8,4]
[2,6,7,3,5,4,8,1]=>[1,8,4,5,3,7,6,2]
[2,5,7,6,1,4,3,8]=>[8,3,4,1,6,7,5,2]
[6,5,8,1,7,2,3,4]=>[4,3,2,7,1,8,5,6]
[5,6,3,4,1,8,7,2]=>[2,7,8,1,4,3,6,5]
[2,8,1,6,7,4,3,5]=>[5,3,4,7,6,1,8,2]
[2,8,4,5,1,3,7,6]=>[6,7,3,1,5,4,8,2]
[8,3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3,8]
[8,1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1,8]
[5,1,8,2,3,7,4,6]=>[6,4,7,3,2,8,1,5]
[2,1,3,7,5,4,6,8]=>[8,6,4,5,7,3,1,2]
[7,6,2,5,1,4,8,3]=>[3,8,4,1,5,2,6,7]
[5,7,6,4,2,1,8,3]=>[3,8,1,2,4,6,7,5]
[5,8,3,6,7,4,2,1]=>[1,2,4,7,6,3,8,5]
[5,2,3,1,7,8,6,4]=>[4,6,8,7,1,3,2,5]
[4,7,5,2,6,1,8,3]=>[3,8,1,6,2,5,7,4]
[4,6,5,1,8,7,3,2]=>[2,3,7,8,1,5,6,4]
[4,1,7,5,6,3,8,2]=>[2,8,3,6,5,7,1,4]
[1,7,8,6,2,5,3,4]=>[4,3,5,2,6,8,7,1]
[7,4,6,2,1,5,8,3]=>[3,8,5,1,2,6,4,7]
[5,2,7,8,6,4,3,1]=>[1,3,4,6,8,7,2,5]
[6,3,7,1,4,5,2,8]=>[8,2,5,4,1,7,3,6]
[5,6,8,1,7,2,4,3]=>[3,4,2,7,1,8,6,5]
[7,2,3,5,6,1,4,8]=>[8,4,1,6,5,3,2,7]
[4,8,5,1,7,3,6,2]=>[2,6,3,7,1,5,8,4]
[4,6,5,7,2,8,3,1]=>[1,3,8,2,7,5,6,4]
[7,3,4,6,8,5,2,1]=>[1,2,5,8,6,4,3,7]
[2,3,7,8,4,6,5,1]=>[1,5,6,4,8,7,3,2]
[7,2,6,3,8,4,5,1]=>[1,5,4,8,3,6,2,7]
[2,8,7,4,5,3,6,1]=>[1,6,3,5,4,7,8,2]
[5,6,3,2,7,4,8,1]=>[1,8,4,7,2,3,6,5]
[5,2,4,1,7,6,3,8]=>[8,3,6,7,1,4,2,5]
[6,5,4,7,1,3,2,8]=>[8,2,3,1,7,4,5,6]
[6,3,4,2,1,7,5,8]=>[8,5,7,1,2,4,3,6]
[3,8,6,4,2,5,1,7]=>[7,1,5,2,4,6,8,3]
[3,1,5,7,6,4,8,2]=>[2,8,4,6,7,5,1,3]
[2,7,6,4,1,5,3,8]=>[8,3,5,1,4,6,7,2]
[2,4,7,3,1,6,5,8]=>[8,5,6,1,3,7,4,2]
[6,2,4,7,1,8,3,5]=>[5,3,8,1,7,4,2,6]
[8,3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3,8]
[5,6,8,3,7,4,1,2]=>[2,1,4,7,3,8,6,5]
[7,1,6,8,4,5,2,3]=>[3,2,5,4,8,6,1,7]
[2,7,8,4,6,5,3,1]=>[1,3,5,6,4,8,7,2]
[3,1,7,8,4,5,2,6]=>[6,2,5,4,8,7,1,3]
[2,7,8,3,1,5,6,4]=>[4,6,5,1,3,8,7,2]
[3,7,8,1,2,6,4,5]=>[5,4,6,2,1,8,7,3]
[2,3,1,7,8,5,4,6]=>[6,4,5,8,7,1,3,2]
[8,2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2,8]
[6,1,3,8,2,4,7,5]=>[5,7,4,2,8,3,1,6]
[5,1,4,7,6,2,3,8]=>[8,3,2,6,7,4,1,5]
[2,3,5,6,1,8,7,4]=>[4,7,8,1,6,5,3,2]
[8,7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7,8]
[8,7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7,8]
[4,5,6,2,8,1,3,7]=>[7,3,1,8,2,6,5,4]
[6,4,8,2,7,3,5,1]=>[1,5,3,7,2,8,4,6]
[1,7,3,6,2,5,8,4]=>[4,8,5,2,6,3,7,1]
[5,7,4,6,8,3,1,2]=>[2,1,3,8,6,4,7,5]
[1,4,8,7,5,6,2,3]=>[3,2,6,5,7,8,4,1]
[5,3,1,6,8,7,4,2]=>[2,4,7,8,6,1,3,5]
[6,2,3,1,8,7,5,4]=>[4,5,7,8,1,3,2,6]
[5,3,1,4,8,7,6,2]=>[2,6,7,8,4,1,3,5]
[5,7,2,4,3,8,6,1]=>[1,6,8,3,4,2,7,5]
[6,8,5,7,4,3,1,2]=>[2,1,3,4,7,5,8,6]
[2,4,7,6,1,5,3,8]=>[8,3,5,1,6,7,4,2]
[8,6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6,8]
[8,6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6,8]
[3,8,2,7,4,1,5,6]=>[6,5,1,4,7,2,8,3]
[3,8,7,2,5,6,4,1]=>[1,4,6,5,2,7,8,3]
[6,7,3,5,2,1,4,8]=>[8,4,1,2,5,3,7,6]
[6,3,4,2,8,5,7,1]=>[1,7,5,8,2,4,3,6]
[6,1,7,4,3,5,2,8]=>[8,2,5,3,4,7,1,6]
[4,2,7,6,1,3,5,8]=>[8,5,3,1,6,7,2,4]
[7,1,4,6,2,5,3,8]=>[8,3,5,2,6,4,1,7]
[8,4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4,8]
[8,3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3,8]
[8,1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1,8]
[7,4,6,5,2,3,8,1]=>[1,8,3,2,5,6,4,7]
[2,6,5,3,1,7,4,8]=>[8,4,7,1,3,5,6,2]
[8,5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5,8]
[5,8,6,3,1,4,7,2]=>[2,7,4,1,3,6,8,5]
[5,7,4,6,2,1,3,8]=>[8,3,1,2,6,4,7,5]
[8,3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3,8]
[8,5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5,8]
[6,1,2,5,3,4,8,7]=>[7,8,4,3,5,2,1,6]
[8,3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3,8]
[8,2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2,8]
[2,4,7,6,3,1,5,8]=>[8,5,1,3,6,7,4,2]
[1,3,5,8,7,4,6,2]=>[2,6,4,7,8,5,3,1]
[2,1,8,7,3,5,6,4]=>[4,6,5,3,7,8,1,2]
[3,8,6,5,2,4,7,1]=>[1,7,4,2,5,6,8,3]
[5,6,8,7,4,1,3,2]=>[2,3,1,4,7,8,6,5]
[7,2,8,3,6,5,4,1]=>[1,4,5,6,3,8,2,7]
[6,2,1,4,7,5,3,8]=>[8,3,5,7,4,1,2,6]
[1,3,7,2,5,6,4,8]=>[8,4,6,5,2,7,3,1]
[4,7,8,2,3,5,6,1]=>[1,6,5,3,2,8,7,4]
[6,2,5,7,8,3,4,1]=>[1,4,3,8,7,5,2,6]
[6,2,4,7,3,5,8,1]=>[1,8,5,3,7,4,2,6]
[7,5,2,6,8,3,4,1]=>[1,4,3,8,6,2,5,7]
[3,7,2,6,4,5,8,1]=>[1,8,5,4,6,2,7,3]
[5,2,3,6,8,1,7,4]=>[4,7,1,8,6,3,2,5]
[4,2,3,7,5,1,8,6]=>[6,8,1,5,7,3,2,4]
[8,5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5,8]
[8,3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3,8]
[8,7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7,8]
[5,7,6,3,1,4,2,8]=>[8,2,4,1,3,6,7,5]
[5,4,2,1,6,3,8,7]=>[7,8,3,6,1,2,4,5]
[1,8,6,7,3,5,4,2]=>[2,4,5,3,7,6,8,1]
[7,1,8,4,6,2,5,3]=>[3,5,2,6,4,8,1,7]
[8,5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5,8]
[6,5,1,7,4,8,2,3]=>[3,2,8,4,7,1,5,6]
[8,1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1,8]
[2,8,1,5,4,6,3,7]=>[7,3,6,4,5,1,8,2]
[5,6,7,2,4,8,1,3]=>[3,1,8,4,2,7,6,5]
[6,3,1,8,5,7,4,2]=>[2,4,7,5,8,1,3,6]
[5,2,8,7,4,3,6,1]=>[1,6,3,4,7,8,2,5]
[1,7,4,6,5,2,8,3]=>[3,8,2,5,6,4,7,1]
[1,5,8,6,4,7,3,2]=>[2,3,7,4,6,8,5,1]
[1,4,7,5,3,6,2,8]=>[8,2,6,3,5,7,4,1]
[1,5,7,2,4,6,3,8]=>[8,3,6,4,2,7,5,1]
[1,6,7,3,5,2,4,8]=>[8,4,2,5,3,7,6,1]
[8,4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4,8]
[7,4,3,8,6,5,2,1]=>[1,2,5,6,8,3,4,7]
[2,3,6,4,8,1,7,5]=>[5,7,1,8,4,6,3,2]
[7,2,3,8,1,5,4,6]=>[6,4,5,1,8,3,2,7]
[2,3,7,6,4,8,1,5]=>[5,1,8,4,6,7,3,2]
[5,4,8,7,3,1,6,2]=>[2,6,1,3,7,8,4,5]
[8,3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3,8]
[5,1,4,7,2,3,8,6]=>[6,8,3,2,7,4,1,5]
[8,1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1,8]
[8,4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4,8]
[6,1,3,2,4,8,5,7]=>[7,5,8,4,2,3,1,6]
[3,4,5,8,7,1,6,2]=>[2,6,1,7,8,5,4,3]
[1,7,2,6,8,4,3,5]=>[5,3,4,8,6,2,7,1]
[5,2,1,7,3,6,8,4]=>[4,8,6,3,7,1,2,5]
[5,8,7,1,3,2,6,4]=>[4,6,2,3,1,7,8,5]
[3,8,5,4,7,1,6,2]=>[2,6,1,7,4,5,8,3]
[3,4,7,5,1,2,8,6]=>[6,8,2,1,5,7,4,3]
[3,4,8,1,7,5,2,6]=>[6,2,5,7,1,8,4,3]
[7,4,6,5,3,1,2,8]=>[8,2,1,3,5,6,4,7]
[3,4,8,6,1,2,7,5]=>[5,7,2,1,6,8,4,3]
[1,8,2,5,4,3,7,6]=>[6,7,3,4,5,2,8,1]
[7,3,5,6,4,8,2,1]=>[1,2,8,4,6,5,3,7]
[4,8,5,3,7,6,2,1]=>[1,2,6,7,3,5,8,4]
[2,8,6,7,3,5,4,1]=>[1,4,5,3,7,6,8,2]
[7,3,5,2,6,8,4,1]=>[1,4,8,6,2,5,3,7]
[7,4,3,1,6,8,5,2]=>[2,5,8,6,1,3,4,7]
[4,7,1,5,6,8,3,2]=>[2,3,8,6,5,1,7,4]
[8,3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3,8]
[5,2,3,6,7,1,4,8]=>[8,4,1,7,6,3,2,5]
[3,4,8,1,2,7,5,6]=>[6,5,7,2,1,8,4,3]
[7,8,5,2,4,3,1,6]=>[6,1,3,4,2,5,8,7]
[5,7,1,2,4,3,6,8]=>[8,6,3,4,2,1,7,5]
[4,6,2,5,8,1,7,3]=>[3,7,1,8,5,2,6,4]
[4,8,5,2,1,6,3,7]=>[7,3,6,1,2,5,8,4]
[8,7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7,8]
[5,7,6,1,2,4,3,8]=>[8,3,4,2,1,6,7,5]
[8,7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7,8]
[8,6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6,8]
[3,5,4,6,7,1,2,8]=>[8,2,1,7,6,4,5,3]
[5,4,6,8,1,7,3,2]=>[2,3,7,1,8,6,4,5]
[4,2,7,8,5,1,3,6]=>[6,3,1,5,8,7,2,4]
[2,1,7,4,3,5,6,8]=>[8,6,5,3,4,7,1,2]
[1,2,5,4,6,8,3,7]=>[7,3,8,6,4,5,2,1]
[8,3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3,8]
[8,1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1,8]
[5,1,3,8,6,2,7,4]=>[4,7,2,6,8,3,1,5]
[6,3,5,7,4,2,1,8]=>[8,1,2,4,7,5,3,6]
[8,1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1,8]
[4,2,3,7,8,1,5,6]=>[6,5,1,8,7,3,2,4]
[2,8,7,3,1,5,6,4]=>[4,6,5,1,3,7,8,2]
[4,2,3,7,8,6,5,1]=>[1,5,6,8,7,3,2,4]
[2,8,5,3,1,6,7,4]=>[4,7,6,1,3,5,8,2]
[2,4,3,1,7,5,6,8]=>[8,6,5,7,1,3,4,2]
[4,2,3,7,5,8,1,6]=>[6,1,8,5,7,3,2,4]
[2,6,7,5,3,1,4,8]=>[8,4,1,3,5,7,6,2]
[3,8,7,5,2,4,6,1]=>[1,6,4,2,5,7,8,3]
[4,8,7,5,2,3,6,1]=>[1,6,3,2,5,7,8,4]
[7,3,5,4,1,2,8,6]=>[6,8,2,1,4,5,3,7]
[2,7,6,3,5,1,4,8]=>[8,4,1,5,3,6,7,2]
[2,7,6,4,3,1,5,8]=>[8,5,1,3,4,6,7,2]
[4,1,6,5,7,8,3,2]=>[2,3,8,7,5,6,1,4]
[6,1,7,2,4,5,3,8]=>[8,3,5,4,2,7,1,6]
[4,7,6,2,3,5,1,8]=>[8,1,5,3,2,6,7,4]
[3,7,6,4,2,5,1,8]=>[8,1,5,2,4,6,7,3]
[8,4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4,8]
[1,6,8,2,5,4,3,7]=>[7,3,4,5,2,8,6,1]
[6,5,4,1,8,3,2,7]=>[7,2,3,8,1,4,5,6]
[5,4,8,1,7,3,2,6]=>[6,2,3,7,1,8,4,5]
[5,6,2,8,7,3,4,1]=>[1,4,3,7,8,2,6,5]
[5,7,1,8,3,4,2,6]=>[6,2,4,3,8,1,7,5]
[1,7,3,4,6,2,5,8]=>[8,5,2,6,4,3,7,1]
[5,2,8,1,3,6,4,7]=>[7,4,6,3,1,8,2,5]
[2,7,1,4,3,5,6,8]=>[8,6,5,3,4,1,7,2]
[6,1,4,3,7,2,5,8]=>[8,5,2,7,3,4,1,6]
[5,8,7,4,2,3,6,1]=>[1,6,3,2,4,7,8,5]
[5,7,6,2,4,1,8,3]=>[3,8,1,4,2,6,7,5]
[4,6,5,2,3,7,1,8]=>[8,1,7,3,2,5,6,4]
[4,1,3,7,2,5,6,8]=>[8,6,5,2,7,3,1,4]
[5,8,6,2,7,1,4,3]=>[3,4,1,7,2,6,8,5]
[4,8,5,2,7,6,1,3]=>[3,1,6,7,2,5,8,4]
[8,1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1,8]
[8,2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2,8]
[7,5,2,3,6,4,1,8]=>[8,1,4,6,3,2,5,7]
[6,3,5,2,8,4,1,7]=>[7,1,4,8,2,5,3,6]
[8,2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2,8]
[7,2,6,3,8,1,4,5]=>[5,4,1,8,3,6,2,7]
[7,8,5,2,1,6,3,4]=>[4,3,6,1,2,5,8,7]
[6,8,1,5,7,2,4,3]=>[3,4,2,7,5,1,8,6]
[6,8,2,5,7,4,3,1]=>[1,3,4,7,5,2,8,6]
[8,2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2,8]
[5,4,1,2,7,8,6,3]=>[3,6,8,7,2,1,4,5]
[6,5,2,4,8,3,7,1]=>[1,7,3,8,4,2,5,6]
[8,6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6,8]
[2,4,6,5,1,7,3,8]=>[8,3,7,1,5,6,4,2]
[7,2,4,3,8,1,6,5]=>[5,6,1,8,3,4,2,7]
[6,1,3,2,4,7,5,8]=>[8,5,7,4,2,3,1,6]
[8,2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2,8]
[1,5,6,2,7,4,3,8]=>[8,3,4,7,2,6,5,1]
[7,2,1,4,3,6,8,5]=>[5,8,6,3,4,1,2,7]
[1,2,8,5,4,3,7,6]=>[6,7,3,4,5,8,2,1]
[3,8,5,4,1,2,6,7]=>[7,6,2,1,4,5,8,3]
[4,3,7,5,6,1,2,8]=>[8,2,1,6,5,7,3,4]
[7,8,6,2,5,4,1,3]=>[3,1,4,5,2,6,8,7]
[3,4,5,7,6,1,2,8]=>[8,2,1,6,7,5,4,3]
[1,5,4,2,6,7,8,3]=>[3,8,7,6,2,4,5,1]
[1,7,4,3,5,8,6,2]=>[2,6,8,5,3,4,7,1]
[5,2,7,6,4,1,3,8]=>[8,3,1,4,6,7,2,5]
[8,5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5,8]
[5,2,1,3,4,7,8,6]=>[6,8,7,4,3,1,2,5]
[7,1,4,2,8,3,5,6]=>[6,5,3,8,2,4,1,7]
[5,1,3,6,4,8,2,7]=>[7,2,8,4,6,3,1,5]
[4,2,3,8,7,6,1,5]=>[5,1,6,7,8,3,2,4]
[6,2,1,5,3,4,7,8]=>[8,7,4,3,5,1,2,6]
[4,2,3,7,1,6,8,5]=>[5,8,6,1,7,3,2,4]
[4,1,5,8,7,3,6,2]=>[2,6,3,7,8,5,1,4]
[4,1,3,8,7,6,2,5]=>[5,2,6,7,8,3,1,4]
[6,2,1,3,5,7,4,8]=>[8,4,7,5,3,1,2,6]
[8,5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5,8]
[7,3,1,6,4,2,5,8]=>[8,5,2,4,6,1,3,7]
[7,1,4,3,6,5,2,8]=>[8,2,5,6,3,4,1,7]
[5,2,8,3,1,6,4,7]=>[7,4,6,1,3,8,2,5]
[5,3,1,8,4,2,7,6]=>[6,7,2,4,8,1,3,5]
[5,7,2,1,4,6,3,8]=>[8,3,6,4,1,2,7,5]
[2,7,1,3,5,8,6,4]=>[4,6,8,5,3,1,7,2]
[3,6,2,7,5,8,4,1]=>[1,4,8,5,7,2,6,3]
[6,5,3,8,2,4,1,7]=>[7,1,4,2,8,3,5,6]
[7,2,5,6,3,1,4,8]=>[8,4,1,3,6,5,2,7]
[8,5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5,8]
[1,3,7,6,4,5,2,8]=>[8,2,5,4,6,7,3,1]
[1,3,8,6,2,5,7,4]=>[4,7,5,2,6,8,3,1]
[1,8,6,5,4,2,7,3]=>[3,7,2,4,5,6,8,1]
[6,5,7,4,2,1,8,3]=>[3,8,1,2,4,7,5,6]
[2,4,5,7,8,6,1,3]=>[3,1,6,8,7,5,4,2]
[4,5,8,6,3,1,2,7]=>[7,2,1,3,6,8,5,4]
[3,6,5,1,2,8,7,4]=>[4,7,8,2,1,5,6,3]
[2,7,4,5,1,6,3,8]=>[8,3,6,1,5,4,7,2]
[5,8,6,3,2,7,4,1]=>[1,4,7,2,3,6,8,5]
[3,4,8,7,2,5,6,1]=>[1,6,5,2,7,8,4,3]
[5,3,8,6,4,2,1,7]=>[7,1,2,4,6,8,3,5]
[8,3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3,8]
[5,8,7,3,4,2,1,6]=>[6,1,2,4,3,7,8,5]
[3,5,8,7,4,2,1,6]=>[6,1,2,4,7,8,5,3]
[8,6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6,8]
[3,1,6,5,4,7,8,2]=>[2,8,7,4,5,6,1,3]
[6,4,8,5,7,3,2,1]=>[1,2,3,7,5,8,4,6]
[7,6,3,8,4,1,5,2]=>[2,5,1,4,8,3,6,7]
[6,7,3,2,1,5,4,8]=>[8,4,5,1,2,3,7,6]
[6,1,4,2,5,7,3,8]=>[8,3,7,5,2,4,1,6]
[8,1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1,8]
[2,7,3,4,6,1,5,8]=>[8,5,1,6,4,3,7,2]
[3,7,4,6,1,2,5,8]=>[8,5,2,1,6,4,7,3]
[3,6,4,5,8,2,7,1]=>[1,7,2,8,5,4,6,3]
[2,5,1,6,8,7,3,4]=>[4,3,7,8,6,1,5,2]
[5,8,2,3,4,1,7,6]=>[6,7,1,4,3,2,8,5]
[5,3,8,6,7,1,2,4]=>[4,2,1,7,6,8,3,5]
[3,6,4,7,5,1,2,8]=>[8,2,1,5,7,4,6,3]
[4,7,1,2,3,6,8,5]=>[5,8,6,3,2,1,7,4]
[8,5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5,8]
[8,6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6,8]
[2,3,5,7,4,1,6,8]=>[8,6,1,4,7,5,3,2]
[4,2,3,7,1,6,5,8]=>[8,5,6,1,7,3,2,4]
[3,5,2,1,7,6,4,8]=>[8,4,6,7,1,2,5,3]
[8,3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3,8]
[7,3,5,8,2,6,4,1]=>[1,4,6,2,8,5,3,7]
[5,6,8,1,4,3,7,2]=>[2,7,3,4,1,8,6,5]
[5,6,7,1,4,3,8,2]=>[2,8,3,4,1,7,6,5]
[5,6,8,2,7,3,4,1]=>[1,4,3,7,2,8,6,5]
[2,4,7,5,3,8,6,1]=>[1,6,8,3,5,7,4,2]
[6,5,4,8,1,7,3,2]=>[2,3,7,1,8,4,5,6]
[6,4,3,2,8,5,7,1]=>[1,7,5,8,2,3,4,6]
[8,2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2,8]
[1,7,8,4,5,2,6,3]=>[3,6,2,5,4,8,7,1]
[3,8,2,7,5,1,6,4]=>[4,6,1,5,7,2,8,3]
[6,3,7,4,2,5,1,8]=>[8,1,5,2,4,7,3,6]
[5,3,6,4,2,7,8,1]=>[1,8,7,2,4,6,3,5]
[1,8,4,6,5,2,3,7]=>[7,3,2,5,6,4,8,1]
[6,1,2,5,8,4,3,7]=>[7,3,4,8,5,2,1,6]
[4,1,7,6,5,3,8,2]=>[2,8,3,5,6,7,1,4]
[6,1,4,5,7,3,8,2]=>[2,8,3,7,5,4,1,6]
[7,1,2,6,8,3,4,5]=>[5,4,3,8,6,2,1,7]
[3,2,8,4,5,1,6,7]=>[7,6,1,5,4,8,2,3]
[6,3,4,2,8,1,7,5]=>[5,7,1,8,2,4,3,6]
[7,2,1,6,8,4,3,5]=>[5,3,4,8,6,1,2,7]
[3,5,4,1,7,6,8,2]=>[2,8,6,7,1,4,5,3]
[6,1,2,8,5,7,4,3]=>[3,4,7,5,8,2,1,6]
[5,3,1,8,7,2,6,4]=>[4,6,2,7,8,1,3,5]
[6,1,7,2,5,4,3,8]=>[8,3,4,5,2,7,1,6]
[8,3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3,8]
[4,7,8,6,1,2,3,5]=>[5,3,2,1,6,8,7,4]
[6,3,4,7,5,2,1,8]=>[8,1,2,5,7,4,3,6]
[5,6,1,8,4,7,3,2]=>[2,3,7,4,8,1,6,5]
[8,7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7,8]
[3,2,7,1,6,5,4,8]=>[8,4,5,6,1,7,2,3]
[5,6,1,2,7,4,3,8]=>[8,3,4,7,2,1,6,5]
[3,8,4,5,2,1,7,6]=>[6,7,1,2,5,4,8,3]
[6,3,4,7,1,2,8,5]=>[5,8,2,1,7,4,3,6]
[4,1,6,2,8,7,3,5]=>[5,3,7,8,2,6,1,4]
[8,2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2,8]
[5,6,2,1,7,4,8,3]=>[3,8,4,7,1,2,6,5]
[8,3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3,8]
[8,1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1,8]
[8,6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6,8]
[8,7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7,8]
[7,2,5,6,4,3,8,1]=>[1,8,3,4,6,5,2,7]
[7,3,5,6,2,8,4,1]=>[1,4,8,2,6,5,3,7]
[7,1,6,2,5,4,8,3]=>[3,8,4,5,2,6,1,7]
[7,2,3,1,5,8,4,6]=>[6,4,8,5,1,3,2,7]
[6,5,4,1,8,3,7,2]=>[2,7,3,8,1,4,5,6]
[5,6,1,4,8,2,3,7]=>[7,3,2,8,4,1,6,5]
[4,6,8,7,5,1,3,2]=>[2,3,1,5,7,8,6,4]
[8,5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5,8]
[1,8,4,3,5,7,2,6]=>[6,2,7,5,3,4,8,1]
[8,5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5,8]
[6,5,1,7,8,3,2,4]=>[4,2,3,8,7,1,5,6]
[3,8,6,1,2,4,7,5]=>[5,7,4,2,1,6,8,3]
[6,7,2,1,4,5,3,8]=>[8,3,5,4,1,2,7,6]
[7,6,2,1,5,4,8,3]=>[3,8,4,5,1,2,6,7]
[5,7,6,2,3,1,8,4]=>[4,8,1,3,2,6,7,5]
[2,1,8,5,3,6,4,7]=>[7,4,6,3,5,8,1,2]
[8,5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5,8]
[6,7,5,1,8,2,4,3]=>[3,4,2,8,1,5,7,6]
[5,2,8,6,7,4,3,1]=>[1,3,4,7,6,8,2,5]
[5,3,6,8,4,1,7,2]=>[2,7,1,4,8,6,3,5]
[7,3,4,5,1,8,2,6]=>[6,2,8,1,5,4,3,7]
[3,1,2,6,7,5,4,8]=>[8,4,5,7,6,2,1,3]
[7,1,4,3,5,8,6,2]=>[2,6,8,5,3,4,1,7]
[4,2,6,5,3,7,1,8]=>[8,1,7,3,5,6,2,4]
[2,8,6,7,3,1,5,4]=>[4,5,1,3,7,6,8,2]
[3,8,2,6,1,7,5,4]=>[4,5,7,1,6,2,8,3]
[5,6,2,4,3,7,8,1]=>[1,8,7,3,4,2,6,5]
[3,1,4,7,8,5,6,2]=>[2,6,5,8,7,4,1,3]
[6,7,1,4,2,5,8,3]=>[3,8,5,2,4,1,7,6]
[1,8,2,6,5,7,4,3]=>[3,4,7,5,6,2,8,1]
[8,1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1,8]
[3,1,4,7,5,6,8,2]=>[2,8,6,5,7,4,1,3]
[6,2,5,4,3,8,1,7]=>[7,1,8,3,4,5,2,6]
[8,3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3,8]
[7,1,6,2,4,3,5,8]=>[8,5,3,4,2,6,1,7]
[6,3,1,5,2,4,7,8]=>[8,7,4,2,5,1,3,6]
[5,8,2,1,6,4,7,3]=>[3,7,4,6,1,2,8,5]
[2,6,3,5,7,4,1,8]=>[8,1,4,7,5,3,6,2]
[4,8,6,1,5,7,3,2]=>[2,3,7,5,1,6,8,4]
[6,5,8,1,7,4,2,3]=>[3,2,4,7,1,8,5,6]
[7,4,6,2,1,3,5,8]=>[8,5,3,1,2,6,4,7]
[8,7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7,8]
[8,3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3,8]
[6,7,1,4,5,2,3,8]=>[8,3,2,5,4,1,7,6]
[6,7,1,5,4,2,3,8]=>[8,3,2,4,5,1,7,6]
[6,7,1,5,3,2,4,8]=>[8,4,2,3,5,1,7,6]
[4,3,8,1,2,6,5,7]=>[7,5,6,2,1,8,3,4]
[7,8,1,2,6,4,5,3]=>[3,5,4,6,2,1,8,7]
[6,8,1,3,2,7,4,5]=>[5,4,7,2,3,1,8,6]
[5,3,4,8,1,7,6,2]=>[2,6,7,1,8,4,3,5]
[8,3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3,8]
[2,3,7,5,8,4,1,6]=>[6,1,4,8,5,7,3,2]
[2,7,1,4,8,6,3,5]=>[5,3,6,8,4,1,7,2]
[3,7,2,6,5,1,8,4]=>[4,8,1,5,6,2,7,3]
[4,5,8,2,1,6,3,7]=>[7,3,6,1,2,8,5,4]
[7,2,8,3,1,5,4,6]=>[6,4,5,1,3,8,2,7]
[5,2,1,3,8,6,7,4]=>[4,7,6,8,3,1,2,5]
[4,8,7,5,2,6,1,3]=>[3,1,6,2,5,7,8,4]
[1,8,3,4,6,2,5,7]=>[7,5,2,6,4,3,8,1]
[7,1,8,5,3,6,2,4]=>[4,2,6,3,5,8,1,7]
[3,8,6,5,1,2,7,4]=>[4,7,2,1,5,6,8,3]
[5,8,2,4,1,7,3,6]=>[6,3,7,1,4,2,8,5]
[8,2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2,8]
[8,2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2,8]
[8,2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2,8]
[5,2,8,4,7,3,6,1]=>[1,6,3,7,4,8,2,5]
[7,5,8,6,2,4,3,1]=>[1,3,4,2,6,8,5,7]
[5,6,8,7,2,3,4,1]=>[1,4,3,2,7,8,6,5]
[4,6,8,5,2,3,7,1]=>[1,7,3,2,5,8,6,4]
[5,6,8,7,3,4,2,1]=>[1,2,4,3,7,8,6,5]
[7,1,3,6,2,4,8,5]=>[5,8,4,2,6,3,1,7]
[7,1,5,3,2,8,4,6]=>[6,4,8,2,3,5,1,7]
[6,1,4,8,5,7,3,2]=>[2,3,7,5,8,4,1,6]
[8,1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1,8]
[6,1,3,4,7,5,2,8]=>[8,2,5,7,4,3,1,6]
[7,6,3,5,4,1,8,2]=>[2,8,1,4,5,3,6,7]
[5,2,7,6,4,8,3,1]=>[1,3,8,4,6,7,2,5]
[1,8,3,5,2,4,7,6]=>[6,7,4,2,5,3,8,1]
[2,7,8,3,5,4,6,1]=>[1,6,4,5,3,8,7,2]
[8,3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3,8]
[7,2,1,8,6,5,3,4]=>[4,3,5,6,8,1,2,7]
[8,6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6,8]
[5,2,8,6,7,3,1,4]=>[4,1,3,7,6,8,2,5]
[3,1,4,8,6,7,5,2]=>[2,5,7,6,8,4,1,3]
[3,1,4,7,8,6,5,2]=>[2,5,6,8,7,4,1,3]
[8,2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2,8]
[7,5,2,6,4,8,1,3]=>[3,1,8,4,6,2,5,7]
[6,5,7,1,4,8,3,2]=>[2,3,8,4,1,7,5,6]
[6,5,1,3,2,4,7,8]=>[8,7,4,2,3,1,5,6]
[5,3,7,1,8,4,2,6]=>[6,2,4,8,1,7,3,5]
[3,8,5,1,7,4,2,6]=>[6,2,4,7,1,5,8,3]
[8,3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3,8]
[1,5,7,2,6,8,3,4]=>[4,3,8,6,2,7,5,1]
[4,2,7,5,6,1,3,8]=>[8,3,1,6,5,7,2,4]
[3,8,4,5,1,2,6,7]=>[7,6,2,1,5,4,8,3]
[5,6,4,1,3,2,8,7]=>[7,8,2,3,1,4,6,5]
[8,3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3,8]
[7,3,5,2,8,4,1,6]=>[6,1,4,8,2,5,3,7]
[1,3,8,5,4,6,2,7]=>[7,2,6,4,5,8,3,1]
[1,7,6,2,5,4,3,8]=>[8,3,4,5,2,6,7,1]
[1,8,2,6,5,4,7,3]=>[3,7,4,5,6,2,8,1]
[4,1,8,2,5,3,6,7]=>[7,6,3,5,2,8,1,4]
[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]
[6,1,5,7,3,2,8,4]=>[4,8,2,3,7,5,1,6]
[7,8,4,2,3,6,1,5]=>[5,1,6,3,2,4,8,7]
[5,3,4,7,2,1,8,6]=>[6,8,1,2,7,4,3,5]
[7,2,5,3,1,8,4,6]=>[6,4,8,1,3,5,2,7]
[3,5,6,7,2,1,4,8]=>[8,4,1,2,7,6,5,3]
[6,2,1,3,4,5,8,7]=>[7,8,5,4,3,1,2,6]
[1,4,7,6,8,2,5,3]=>[3,5,2,8,6,7,4,1]
[6,1,8,2,5,7,3,4]=>[4,3,7,5,2,8,1,6]
[3,4,8,6,7,5,2,1]=>[1,2,5,7,6,8,4,3]
[5,8,3,6,2,7,4,1]=>[1,4,7,2,6,3,8,5]
[6,3,2,1,7,5,4,8]=>[8,4,5,7,1,2,3,6]
[1,6,7,5,3,4,2,8]=>[8,2,4,3,5,7,6,1]
[1,4,6,5,2,7,8,3]=>[3,8,7,2,5,6,4,1]
[8,4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4,8]
[8,3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3,8]
[2,5,8,3,7,4,1,6]=>[6,1,4,7,3,8,5,2]
[3,8,5,2,7,6,4,1]=>[1,4,6,7,2,5,8,3]
[7,2,1,3,6,5,8,4]=>[4,8,5,6,3,1,2,7]
[7,2,1,5,4,3,8,6]=>[6,8,3,4,5,1,2,7]
[8,6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6,8]
[1,6,8,5,3,4,2,7]=>[7,2,4,3,5,8,6,1]
[4,7,2,5,1,6,3,8]=>[8,3,6,1,5,2,7,4]
[4,8,6,3,2,5,1,7]=>[7,1,5,2,3,6,8,4]
[4,2,6,8,7,5,1,3]=>[3,1,5,7,8,6,2,4]
[7,6,2,5,1,3,8,4]=>[4,8,3,1,5,2,6,7]
[8,3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3,8]
[7,2,1,3,4,6,8,5]=>[5,8,6,4,3,1,2,7]
[4,5,7,2,1,3,8,6]=>[6,8,3,1,2,7,5,4]
[1,8,6,5,3,4,2,7]=>[7,2,4,3,5,6,8,1]
[8,5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5,8]
[2,5,3,6,7,4,1,8]=>[8,1,4,7,6,3,5,2]
[1,7,2,4,6,3,8,5]=>[5,8,3,6,4,2,7,1]
[5,1,4,3,7,6,2,8]=>[8,2,6,7,3,4,1,5]
[6,2,4,3,7,1,5,8]=>[8,5,1,7,3,4,2,6]
[7,5,2,6,8,4,3,1]=>[1,3,4,8,6,2,5,7]
[3,7,2,1,6,4,8,5]=>[5,8,4,6,1,2,7,3]
[6,5,7,2,4,8,3,1]=>[1,3,8,4,2,7,5,6]
[3,2,1,6,8,7,4,5]=>[5,4,7,8,6,1,2,3]
[7,1,2,4,8,3,6,5]=>[5,6,3,8,4,2,1,7]
[7,3,5,1,2,6,8,4]=>[4,8,6,2,1,5,3,7]
[6,2,1,7,4,5,8,3]=>[3,8,5,4,7,1,2,6]
[4,7,8,2,5,3,6,1]=>[1,6,3,5,2,8,7,4]
[8,4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4,8]
[7,3,2,5,8,6,4,1]=>[1,4,6,8,5,2,3,7]
[5,2,6,7,3,4,1,8]=>[8,1,4,3,7,6,2,5]
[7,5,2,6,3,4,1,8]=>[8,1,4,3,6,2,5,7]
[7,4,5,1,3,2,6,8]=>[8,6,2,3,1,5,4,7]
[7,1,2,4,5,8,3,6]=>[6,3,8,5,4,2,1,7]
[2,7,6,1,8,3,5,4]=>[4,5,3,8,1,6,7,2]
[6,1,3,5,2,7,4,8]=>[8,4,7,2,5,3,1,6]
[5,2,4,6,7,3,8,1]=>[1,8,3,7,6,4,2,5]
[6,5,2,1,4,3,7,8]=>[8,7,3,4,1,2,5,6]
[4,2,3,6,1,7,8,5]=>[5,8,7,1,6,3,2,4]
[4,3,8,6,2,5,7,1]=>[1,7,5,2,6,8,3,4]
[1,8,6,4,3,7,5,2]=>[2,5,7,3,4,6,8,1]
[3,8,6,2,1,5,7,4]=>[4,7,5,1,2,6,8,3]
[5,4,7,1,3,6,8,2]=>[2,8,6,3,1,7,4,5]
[6,4,7,1,3,2,5,8]=>[8,5,2,3,1,7,4,6]
[6,5,3,7,8,4,2,1]=>[1,2,4,8,7,3,5,6]
[3,1,8,7,2,6,5,4]=>[4,5,6,2,7,8,1,3]
[3,7,2,6,4,1,5,8]=>[8,5,1,4,6,2,7,3]
[5,2,4,8,6,3,7,1]=>[1,7,3,6,8,4,2,5]
[8,2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2,8]
[6,3,4,8,5,7,2,1]=>[1,2,7,5,8,4,3,6]
[5,1,7,2,3,6,4,8]=>[8,4,6,3,2,7,1,5]
[5,4,7,3,1,2,8,6]=>[6,8,2,1,3,7,4,5]
[6,2,4,3,7,8,1,5]=>[5,1,8,7,3,4,2,6]
[5,2,4,8,7,6,3,1]=>[1,3,6,7,8,4,2,5]
[6,8,1,7,5,3,4,2]=>[2,4,3,5,7,1,8,6]
[5,8,6,4,1,7,3,2]=>[2,3,7,1,4,6,8,5]
[7,8,6,2,5,3,4,1]=>[1,4,3,5,2,6,8,7]
[7,2,5,6,8,3,1,4]=>[4,1,3,8,6,5,2,7]
[5,6,4,8,7,1,3,2]=>[2,3,1,7,8,4,6,5]
[1,6,3,4,7,5,8,2]=>[2,8,5,7,4,3,6,1]
[3,8,1,4,2,7,5,6]=>[6,5,7,2,4,1,8,3]
[8,2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2,8]
[6,7,1,3,5,4,2,8]=>[8,2,4,5,3,1,7,6]
[2,3,1,7,6,4,5,8]=>[8,5,4,6,7,1,3,2]
[7,6,4,5,1,3,2,8]=>[8,2,3,1,5,4,6,7]
[5,1,3,7,6,4,2,8]=>[8,2,4,6,7,3,1,5]
[7,6,4,1,3,5,2,8]=>[8,2,5,3,1,4,6,7]
[5,2,7,6,4,3,1,8]=>[8,1,3,4,6,7,2,5]
[1,7,6,4,3,5,2,8]=>[8,2,5,3,4,6,7,1]
[2,3,5,1,6,8,7,4]=>[4,7,8,6,1,5,3,2]
[2,8,3,7,6,5,1,4]=>[4,1,5,6,7,3,8,2]
[2,5,8,1,6,3,7,4]=>[4,7,3,6,1,8,5,2]
[4,7,8,6,1,3,5,2]=>[2,5,3,1,6,8,7,4]
[8,7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7,8]
[8,4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4,8]
[8,4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4,8]
[3,2,7,8,4,5,1,6]=>[6,1,5,4,8,7,2,3]
[6,1,4,2,5,8,3,7]=>[7,3,8,5,2,4,1,6]
[7,1,3,6,4,2,8,5]=>[5,8,2,4,6,3,1,7]
[7,2,6,3,5,8,4,1]=>[1,4,8,5,3,6,2,7]
[7,2,3,6,4,1,5,8]=>[8,5,1,4,6,3,2,7]
[3,8,2,6,4,5,7,1]=>[1,7,5,4,6,2,8,3]
[1,4,8,5,3,7,6,2]=>[2,6,7,3,5,8,4,1]
[5,3,4,2,7,8,6,1]=>[1,6,8,7,2,4,3,5]
[7,6,2,4,3,8,5,1]=>[1,5,8,3,4,2,6,7]
[7,2,8,3,1,4,6,5]=>[5,6,4,1,3,8,2,7]
[7,8,6,5,3,1,4,2]=>[2,4,1,3,5,6,8,7]
[8,2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2,8]
[3,7,2,8,1,6,5,4]=>[4,5,6,1,8,2,7,3]
[2,6,7,1,8,3,5,4]=>[4,5,3,8,1,7,6,2]
[5,2,3,1,7,4,6,8]=>[8,6,4,7,1,3,2,5]
[8,5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5,8]
[2,6,5,8,4,3,1,7]=>[7,1,3,4,8,5,6,2]
[3,8,5,6,2,1,4,7]=>[7,4,1,2,6,5,8,3]
[8,5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5,8]
[5,4,6,2,1,7,8,3]=>[3,8,7,1,2,6,4,5]
[2,1,8,4,7,3,5,6]=>[6,5,3,7,4,8,1,2]
[5,1,8,7,3,2,4,6]=>[6,4,2,3,7,8,1,5]
[5,4,3,1,7,8,6,2]=>[2,6,8,7,1,3,4,5]
[7,2,1,8,5,6,3,4]=>[4,3,6,5,8,1,2,7]
[4,8,5,3,2,1,7,6]=>[6,7,1,2,3,5,8,4]
[8,5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5,8]
[2,8,6,5,1,4,3,7]=>[7,3,4,1,5,6,8,2]
[2,1,7,4,6,3,5,8]=>[8,5,3,6,4,7,1,2]
[4,1,6,7,5,2,8,3]=>[3,8,2,5,7,6,1,4]
[4,6,3,7,8,5,1,2]=>[2,1,5,8,7,3,6,4]
[3,6,4,5,7,8,2,1]=>[1,2,8,7,5,4,6,3]
[2,1,7,5,4,3,6,8]=>[8,6,3,4,5,7,1,2]
[4,6,8,7,3,2,5,1]=>[1,5,2,3,7,8,6,4]
[6,1,2,8,4,7,3,5]=>[5,3,7,4,8,2,1,6]
[5,1,4,6,7,8,3,2]=>[2,3,8,7,6,4,1,5]
[7,6,2,4,1,5,3,8]=>[8,3,5,1,4,2,6,7]
[1,8,2,7,6,5,3,4]=>[4,3,5,6,7,2,8,1]
[1,7,8,4,2,5,3,6]=>[6,3,5,2,4,8,7,1]
[2,8,7,5,4,3,6,1]=>[1,6,3,4,5,7,8,2]
[7,6,2,5,4,8,3,1]=>[1,3,8,4,5,2,6,7]
[6,7,2,3,5,1,8,4]=>[4,8,1,5,3,2,7,6]
[6,1,2,7,5,3,4,8]=>[8,4,3,5,7,2,1,6]
[7,1,6,4,5,3,2,8]=>[8,2,3,5,4,6,1,7]
[5,6,1,8,3,4,2,7]=>[7,2,4,3,8,1,6,5]
[7,8,3,2,6,5,1,4]=>[4,1,5,6,2,3,8,7]
[4,7,2,3,1,6,5,8]=>[8,5,6,1,3,2,7,4]
[3,6,1,7,2,5,4,8]=>[8,4,5,2,7,1,6,3]
[4,5,7,6,1,3,2,8]=>[8,2,3,1,6,7,5,4]
[3,1,7,4,6,5,8,2]=>[2,8,5,6,4,7,1,3]
[8,7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7,8]
[1,2,7,3,5,6,8,4]=>[4,8,6,5,3,7,2,1]
[7,3,4,6,8,2,5,1]=>[1,5,2,8,6,4,3,7]
[7,4,2,6,5,1,8,3]=>[3,8,1,5,6,2,4,7]
[7,8,2,1,6,4,5,3]=>[3,5,4,6,1,2,8,7]
[1,6,5,4,8,3,7,2]=>[2,7,3,8,4,5,6,1]
[2,5,8,6,1,3,7,4]=>[4,7,3,1,6,8,5,2]
[4,2,3,8,7,1,5,6]=>[6,5,1,7,8,3,2,4]
[8,5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5,8]
[5,1,6,8,4,3,7,2]=>[2,7,3,4,8,6,1,5]
[5,4,8,3,1,6,2,7]=>[7,2,6,1,3,8,4,5]
[5,3,8,2,1,6,7,4]=>[4,7,6,1,2,8,3,5]
[4,3,7,2,1,6,8,5]=>[5,8,6,1,2,7,3,4]
[1,4,8,5,6,3,7,2]=>[2,7,3,6,5,8,4,1]
[5,7,4,3,2,1,6,8]=>[8,6,1,2,3,4,7,5]
[5,4,6,8,2,1,3,7]=>[7,3,1,2,8,6,4,5]
[2,1,5,7,4,3,6,8]=>[8,6,3,4,7,5,1,2]
[1,7,8,3,2,6,4,5]=>[5,4,6,2,3,8,7,1]
[1,3,6,7,4,5,2,8]=>[8,2,5,4,7,6,3,1]
[4,5,8,7,1,3,6,2]=>[2,6,3,1,7,8,5,4]
[6,8,4,2,5,3,1,7]=>[7,1,3,5,2,4,8,6]
[5,2,4,1,7,3,6,8]=>[8,6,3,7,1,4,2,5]
[5,6,4,8,1,3,7,2]=>[2,7,3,1,8,4,6,5]
[3,7,4,1,5,2,6,8]=>[8,6,2,5,1,4,7,3]
[6,3,4,2,5,8,1,7]=>[7,1,8,5,2,4,3,6]
[8,5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5,8]
[7,6,2,1,5,3,8,4]=>[4,8,3,5,1,2,6,7]
[5,6,1,8,3,2,7,4]=>[4,7,2,3,8,1,6,5]
[7,2,4,6,1,5,3,8]=>[8,3,5,1,6,4,2,7]
[2,3,6,8,5,4,1,7]=>[7,1,4,5,8,6,3,2]
[6,4,8,2,3,7,5,1]=>[1,5,7,3,2,8,4,6]
[3,2,8,4,1,5,7,6]=>[6,7,5,1,4,8,2,3]
[7,4,2,3,6,1,5,8]=>[8,5,1,6,3,2,4,7]
[1,6,4,5,2,3,8,7]=>[7,8,3,2,5,4,6,1]
[7,2,5,3,4,6,8,1]=>[1,8,6,4,3,5,2,7]
[5,7,6,2,3,4,8,1]=>[1,8,4,3,2,6,7,5]
[6,2,4,7,8,5,1,3]=>[3,1,5,8,7,4,2,6]
[2,7,8,3,1,4,6,5]=>[5,6,4,1,3,8,7,2]
[8,6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6,8]
[7,3,5,2,8,6,4,1]=>[1,4,6,8,2,5,3,7]
[1,6,5,3,2,7,8,4]=>[4,8,7,2,3,5,6,1]
[2,7,8,4,6,1,5,3]=>[3,5,1,6,4,8,7,2]
[7,5,2,6,4,8,3,1]=>[1,3,8,4,6,2,5,7]
[7,8,6,2,4,3,1,5]=>[5,1,3,4,2,6,8,7]
[7,8,6,5,2,4,1,3]=>[3,1,4,2,5,6,8,7]
[7,3,4,5,1,6,2,8]=>[8,2,6,1,5,4,3,7]
[5,7,1,8,4,2,3,6]=>[6,3,2,4,8,1,7,5]
[1,3,7,2,4,6,8,5]=>[5,8,6,4,2,7,3,1]
[4,1,3,6,8,7,2,5]=>[5,2,7,8,6,3,1,4]
[6,4,8,7,1,3,5,2]=>[2,5,3,1,7,8,4,6]
[2,6,8,7,1,4,5,3]=>[3,5,4,1,7,8,6,2]
[4,8,5,1,6,3,2,7]=>[7,2,3,6,1,5,8,4]
[1,8,7,4,6,5,2,3]=>[3,2,5,6,4,7,8,1]
[4,7,8,2,5,6,3,1]=>[1,3,6,5,2,8,7,4]
[5,8,3,6,7,1,4,2]=>[2,4,1,7,6,3,8,5]
[3,8,4,6,2,5,1,7]=>[7,1,5,2,6,4,8,3]
[8,2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2,8]
[8,1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1,8]
[6,1,4,7,3,5,2,8]=>[8,2,5,3,7,4,1,6]
[4,1,7,5,8,2,6,3]=>[3,6,2,8,5,7,1,4]
[1,8,7,2,4,6,5,3]=>[3,5,6,4,2,7,8,1]
[8,1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1,8]
[8,5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5,8]
[8,5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5,8]
[4,6,1,5,7,8,3,2]=>[2,3,8,7,5,1,6,4]
[5,3,4,8,6,2,1,7]=>[7,1,2,6,8,4,3,5]
[4,1,7,3,5,6,2,8]=>[8,2,6,5,3,7,1,4]
[2,6,3,7,1,5,8,4]=>[4,8,5,1,7,3,6,2]
[6,8,1,3,4,5,2,7]=>[7,2,5,4,3,1,8,6]
[6,3,4,8,2,5,1,7]=>[7,1,5,2,8,4,3,6]
[4,7,5,3,6,2,1,8]=>[8,1,2,6,3,5,7,4]
[6,1,7,5,4,2,3,8]=>[8,3,2,4,5,7,1,6]
[7,3,1,4,6,5,8,2]=>[2,8,5,6,4,1,3,7]
[3,1,5,6,7,4,2,8]=>[8,2,4,7,6,5,1,3]
[8,2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2,8]
[5,6,1,4,7,8,2,3]=>[3,2,8,7,4,1,6,5]
[7,5,4,8,6,2,3,1]=>[1,3,2,6,8,4,5,7]
[6,2,8,5,3,4,1,7]=>[7,1,4,3,5,8,2,6]
[3,4,7,6,2,1,5,8]=>[8,5,1,2,6,7,4,3]
[2,5,6,8,3,7,1,4]=>[4,1,7,3,8,6,5,2]
[6,7,5,4,1,3,8,2]=>[2,8,3,1,4,5,7,6]
[4,2,7,8,3,1,5,6]=>[6,5,1,3,8,7,2,4]
[4,6,2,8,7,3,1,5]=>[5,1,3,7,8,2,6,4]
[8,2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2,8]
[5,8,3,6,4,2,7,1]=>[1,7,2,4,6,3,8,5]
[3,4,8,2,6,5,1,7]=>[7,1,5,6,2,8,4,3]
[7,4,6,5,3,1,8,2]=>[2,8,1,3,5,6,4,7]
[6,1,8,3,5,7,4,2]=>[2,4,7,5,3,8,1,6]
[3,2,8,4,1,6,7,5]=>[5,7,6,1,4,8,2,3]
[8,2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2,8]
[7,6,8,2,1,4,5,3]=>[3,5,4,1,2,8,6,7]
[3,4,7,1,6,5,8,2]=>[2,8,5,6,1,7,4,3]
[3,8,5,7,4,1,2,6]=>[6,2,1,4,7,5,8,3]
[8,3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3,8]
[4,5,3,1,6,7,2,8]=>[8,2,7,6,1,3,5,4]
[8,7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7,8]
[8,5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5,8]
[7,6,8,4,5,1,3,2]=>[2,3,1,5,4,8,6,7]
[6,4,5,1,3,2,7,8]=>[8,7,2,3,1,5,4,6]
[4,8,2,7,3,1,5,6]=>[6,5,1,3,7,2,8,4]
[6,1,4,3,5,7,2,8]=>[8,2,7,5,3,4,1,6]
[7,2,1,5,6,8,3,4]=>[4,3,8,6,5,1,2,7]
[3,5,7,6,4,1,2,8]=>[8,2,1,4,6,7,5,3]
[7,4,6,5,2,1,3,8]=>[8,3,1,2,5,6,4,7]
[6,8,5,1,3,2,4,7]=>[7,4,2,3,1,5,8,6]
[1,7,6,8,2,4,5,3]=>[3,5,4,2,8,6,7,1]
[4,8,5,6,1,3,2,7]=>[7,2,3,1,6,5,8,4]
[4,3,8,5,7,2,1,6]=>[6,1,2,7,5,8,3,4]
[6,1,7,5,8,2,4,3]=>[3,4,2,8,5,7,1,6]
[7,8,2,4,6,3,5,1]=>[1,5,3,6,4,2,8,7]
[4,8,3,1,5,6,2,7]=>[7,2,6,5,1,3,8,4]
[1,2,7,3,6,5,4,8]=>[8,4,5,6,3,7,2,1]
[2,8,4,7,5,1,6,3]=>[3,6,1,5,7,4,8,2]
[8,6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6,8]
[4,8,6,1,2,7,3,5]=>[5,3,7,2,1,6,8,4]
[6,3,1,8,5,4,2,7]=>[7,2,4,5,8,1,3,6]
[7,5,4,8,2,3,1,6]=>[6,1,3,2,8,4,5,7]
[1,4,2,7,5,6,8,3]=>[3,8,6,5,7,2,4,1]
[4,6,8,1,2,3,7,5]=>[5,7,3,2,1,8,6,4]
[4,5,3,8,7,1,6,2]=>[2,6,1,7,8,3,5,4]
[3,7,6,4,2,1,8,5]=>[5,8,1,2,4,6,7,3]
[1,7,8,5,2,3,6,4]=>[4,6,3,2,5,8,7,1]
[7,6,3,1,8,5,4,2]=>[2,4,5,8,1,3,6,7]
[6,1,7,5,2,4,3,8]=>[8,3,4,2,5,7,1,6]
[3,6,2,5,4,7,8,1]=>[1,8,7,4,5,2,6,3]
[8,2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2,8]
[3,1,7,5,4,6,8,2]=>[2,8,6,4,5,7,1,3]
[8,6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6,8]
[6,3,5,4,1,8,2,7]=>[7,2,8,1,4,5,3,6]
[8,1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1,8]
[8,2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2,8]
[8,3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3,8]
[4,3,7,6,2,5,1,8]=>[8,1,5,2,6,7,3,4]
[8,4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4,8]
[2,1,8,3,4,6,5,7]=>[7,5,6,4,3,8,1,2]
[4,8,7,2,3,6,1,5]=>[5,1,6,3,2,7,8,4]
[5,8,2,1,3,6,7,4]=>[4,7,6,3,1,2,8,5]
[3,8,4,2,1,5,7,6]=>[6,7,5,1,2,4,8,3]
[8,3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3,8]
[2,1,6,7,5,3,4,8]=>[8,4,3,5,7,6,1,2]
[1,5,6,4,2,7,3,8]=>[8,3,7,2,4,6,5,1]
[8,6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6,8]
[6,8,2,4,3,5,7,1]=>[1,7,5,3,4,2,8,6]
[8,7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7,8]
[3,5,6,7,2,8,1,4]=>[4,1,8,2,7,6,5,3]
[1,5,7,6,4,8,2,3]=>[3,2,8,4,6,7,5,1]
[5,3,7,4,8,1,2,6]=>[6,2,1,8,4,7,3,5]
[2,4,7,5,3,1,8,6]=>[6,8,1,3,5,7,4,2]
[3,2,8,6,1,7,4,5]=>[5,4,7,1,6,8,2,3]
[8,3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3,8]
[7,2,3,5,1,8,4,6]=>[6,4,8,1,5,3,2,7]
[2,4,8,3,6,7,5,1]=>[1,5,7,6,3,8,4,2]
[5,4,7,6,2,1,3,8]=>[8,3,1,2,6,7,4,5]
[3,1,2,6,5,7,4,8]=>[8,4,7,5,6,2,1,3]
[1,4,8,5,7,2,6,3]=>[3,6,2,7,5,8,4,1]
[7,1,4,3,5,6,2,8]=>[8,2,6,5,3,4,1,7]
[5,8,6,4,2,3,7,1]=>[1,7,3,2,4,6,8,5]
[4,3,7,5,2,6,8,1]=>[1,8,6,2,5,7,3,4]
[7,8,4,6,5,2,3,1]=>[1,3,2,5,6,4,8,7]
[1,6,3,8,5,7,4,2]=>[2,4,7,5,8,3,6,1]
[4,6,1,3,5,7,8,2]=>[2,8,7,5,3,1,6,4]
[6,4,1,2,3,7,5,8]=>[8,5,7,3,2,1,4,6]
[5,3,6,1,7,4,2,8]=>[8,2,4,7,1,6,3,5]
[6,5,1,7,3,4,2,8]=>[8,2,4,3,7,1,5,6]
[3,7,4,6,5,1,8,2]=>[2,8,1,5,6,4,7,3]
[4,3,7,1,2,6,5,8]=>[8,5,6,2,1,7,3,4]
[2,5,8,6,1,3,4,7]=>[7,4,3,1,6,8,5,2]
[6,4,5,2,1,7,3,8]=>[8,3,7,1,2,5,4,6]
[5,2,1,7,4,3,6,8]=>[8,6,3,4,7,1,2,5]
[2,4,7,3,8,6,1,5]=>[5,1,6,8,3,7,4,2]
[4,8,6,5,2,7,3,1]=>[1,3,7,2,5,6,8,4]
[3,2,4,7,1,6,8,5]=>[5,8,6,1,7,4,2,3]
[7,2,3,6,5,1,8,4]=>[4,8,1,5,6,3,2,7]
[7,2,6,1,8,5,3,4]=>[4,3,5,8,1,6,2,7]
[7,2,4,3,5,8,6,1]=>[1,6,8,5,3,4,2,7]
[6,7,2,1,3,5,4,8]=>[8,4,5,3,1,2,7,6]
[8,5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5,8]
[6,3,1,2,5,7,8,4]=>[4,8,7,5,2,1,3,6]
[3,7,2,5,8,6,1,4]=>[4,1,6,8,5,2,7,3]
[4,1,7,8,3,6,2,5]=>[5,2,6,3,8,7,1,4]
[8,4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4,8]
[8,3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3,8]
[6,7,5,2,3,8,1,4]=>[4,1,8,3,2,5,7,6]
[6,2,7,8,3,5,1,4]=>[4,1,5,3,8,7,2,6]
[6,7,2,1,5,4,8,3]=>[3,8,4,5,1,2,7,6]
[8,3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3,8]
[5,2,6,8,3,1,4,7]=>[7,4,1,3,8,6,2,5]
[3,5,8,7,4,6,1,2]=>[2,1,6,4,7,8,5,3]
[2,1,3,7,8,5,4,6]=>[6,4,5,8,7,3,1,2]
[8,4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4,8]
[1,8,7,3,4,6,2,5]=>[5,2,6,4,3,7,8,1]
[2,7,8,1,6,3,5,4]=>[4,5,3,6,1,8,7,2]
[2,8,4,7,5,3,6,1]=>[1,6,3,5,7,4,8,2]
[6,5,1,3,2,4,8,7]=>[7,8,4,2,3,1,5,6]
[4,8,7,2,5,3,6,1]=>[1,6,3,5,2,7,8,4]
[4,7,5,1,2,6,3,8]=>[8,3,6,2,1,5,7,4]
[4,8,5,7,3,6,2,1]=>[1,2,6,3,7,5,8,4]
[2,1,7,6,4,3,5,8]=>[8,5,3,4,6,7,1,2]
[2,8,6,5,3,4,7,1]=>[1,7,4,3,5,6,8,2]
[1,6,3,5,8,7,2,4]=>[4,2,7,8,5,3,6,1]
[1,3,6,4,7,8,5,2]=>[2,5,8,7,4,6,3,1]
[1,6,3,4,7,5,2,8]=>[8,2,5,7,4,3,6,1]
[6,8,3,2,5,4,1,7]=>[7,1,4,5,2,3,8,6]
[2,1,7,5,3,6,4,8]=>[8,4,6,3,5,7,1,2]
[2,1,6,7,3,5,4,8]=>[8,4,5,3,7,6,1,2]
[1,8,7,6,2,5,3,4]=>[4,3,5,2,6,7,8,1]
[2,5,7,1,4,8,3,6]=>[6,3,8,4,1,7,5,2]
[6,3,1,2,7,5,4,8]=>[8,4,5,7,2,1,3,6]
[2,1,7,5,6,3,4,8]=>[8,4,3,6,5,7,1,2]
[4,1,2,7,6,5,3,8]=>[8,3,5,6,7,2,1,4]
[7,4,2,3,1,8,5,6]=>[6,5,8,1,3,2,4,7]
[8,3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3,8]
[6,3,8,5,1,7,2,4]=>[4,2,7,1,5,8,3,6]
[5,6,2,3,7,8,4,1]=>[1,4,8,7,3,2,6,5]
[5,8,3,7,2,4,6,1]=>[1,6,4,2,7,3,8,5]
[3,7,2,5,6,8,4,1]=>[1,4,8,6,5,2,7,3]
[8,3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3,8]
[8,7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7,8]
[6,1,7,3,5,4,2,8]=>[8,2,4,5,3,7,1,6]
[5,3,7,4,2,1,8,6]=>[6,8,1,2,4,7,3,5]
[6,8,4,3,2,5,7,1]=>[1,7,5,2,3,4,8,6]
[6,3,7,1,4,5,8,2]=>[2,8,5,4,1,7,3,6]
[3,6,7,8,2,4,5,1]=>[1,5,4,2,8,7,6,3]
[8,1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1,8]
[3,6,7,5,1,8,2,4]=>[4,2,8,1,5,7,6,3]
[3,7,2,6,4,5,1,8]=>[8,1,5,4,6,2,7,3]
[8,4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4,8]
[5,7,1,3,6,4,2,8]=>[8,2,4,6,3,1,7,5]
[2,6,8,3,5,7,1,4]=>[4,1,7,5,3,8,6,2]
[4,7,8,5,1,2,3,6]=>[6,3,2,1,5,8,7,4]
[7,4,3,6,5,1,8,2]=>[2,8,1,5,6,3,4,7]
[8,6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6,8]
[7,1,4,6,8,5,2,3]=>[3,2,5,8,6,4,1,7]
[8,3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3,8]
[7,1,8,3,6,2,4,5]=>[5,4,2,6,3,8,1,7]
[7,1,4,3,8,2,5,6]=>[6,5,2,8,3,4,1,7]
[2,8,4,5,7,3,1,6]=>[6,1,3,7,5,4,8,2]
[8,3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3,8]
[5,1,7,4,3,2,8,6]=>[6,8,2,3,4,7,1,5]
[4,7,8,6,2,5,3,1]=>[1,3,5,2,6,8,7,4]
[8,1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1,8]
[4,5,6,2,3,8,7,1]=>[1,7,8,3,2,6,5,4]
[5,1,6,7,2,4,8,3]=>[3,8,4,2,7,6,1,5]
[6,5,1,4,8,7,2,3]=>[3,2,7,8,4,1,5,6]
[4,5,2,1,8,6,3,7]=>[7,3,6,8,1,2,5,4]
[6,8,3,5,7,4,1,2]=>[2,1,4,7,5,3,8,6]
[4,1,3,7,8,5,6,2]=>[2,6,5,8,7,3,1,4]
[7,5,2,4,6,3,8,1]=>[1,8,3,6,4,2,5,7]
[7,4,2,3,6,5,8,1]=>[1,8,5,6,3,2,4,7]
[1,4,5,6,3,8,2,7]=>[7,2,8,3,6,5,4,1]
[4,3,5,1,8,2,6,7]=>[7,6,2,8,1,5,3,4]
[7,1,6,3,2,8,5,4]=>[4,5,8,2,3,6,1,7]
[8,5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5,8]
[6,7,1,2,4,3,8,5]=>[5,8,3,4,2,1,7,6]
[3,4,1,7,6,2,5,8]=>[8,5,2,6,7,1,4,3]
[8,4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4,8]
[8,3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3,8]
[8,3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3,8]
[6,5,1,7,8,2,4,3]=>[3,4,2,8,7,1,5,6]
[4,7,1,8,3,6,5,2]=>[2,5,6,3,8,1,7,4]
[1,7,4,2,3,6,5,8]=>[8,5,6,3,2,4,7,1]
[7,8,4,2,3,6,5,1]=>[1,5,6,3,2,4,8,7]
[8,5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5,8]
[7,1,6,5,8,2,3,4]=>[4,3,2,8,5,6,1,7]
[8,3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3,8]
[1,7,4,3,8,6,5,2]=>[2,5,6,8,3,4,7,1]
[6,7,1,5,8,4,2,3]=>[3,2,4,8,5,1,7,6]
[5,2,7,6,1,3,8,4]=>[4,8,3,1,6,7,2,5]
[3,7,5,4,1,6,2,8]=>[8,2,6,1,4,5,7,3]
[7,4,2,6,5,8,3,1]=>[1,3,8,5,6,2,4,7]
[7,2,4,6,8,3,5,1]=>[1,5,3,8,6,4,2,7]
[7,2,4,3,6,8,5,1]=>[1,5,8,6,3,4,2,7]
[5,6,2,3,7,1,8,4]=>[4,8,1,7,3,2,6,5]
[6,8,4,5,3,1,2,7]=>[7,2,1,3,5,4,8,6]
[4,8,1,5,3,2,6,7]=>[7,6,2,3,5,1,8,4]
[2,5,8,7,4,3,1,6]=>[6,1,3,4,7,8,5,2]
[7,8,3,6,4,5,2,1]=>[1,2,5,4,6,3,8,7]
[1,8,6,5,3,4,7,2]=>[2,7,4,3,5,6,8,1]
[7,4,2,3,5,8,6,1]=>[1,6,8,5,3,2,4,7]
[6,1,8,7,3,5,4,2]=>[2,4,5,3,7,8,1,6]
[5,7,2,6,4,3,8,1]=>[1,8,3,4,6,2,7,5]
[1,6,4,7,5,2,8,3]=>[3,8,2,5,7,4,6,1]
[6,5,1,8,3,4,2,7]=>[7,2,4,3,8,1,5,6]
[6,1,4,5,3,7,2,8]=>[8,2,7,3,5,4,1,6]
[7,5,6,1,4,2,8,3]=>[3,8,2,4,1,6,5,7]
[5,2,1,3,4,6,8,7]=>[7,8,6,4,3,1,2,5]
[4,8,5,3,7,2,6,1]=>[1,6,2,7,3,5,8,4]
[7,8,3,6,5,2,4,1]=>[1,4,2,5,6,3,8,7]
[7,3,6,8,2,5,4,1]=>[1,4,5,2,8,6,3,7]
[1,7,5,2,6,4,3,8]=>[8,3,4,6,2,5,7,1]
[1,4,5,2,7,6,8,3]=>[3,8,6,7,2,5,4,1]
[6,4,5,2,7,3,1,8]=>[8,1,3,7,2,5,4,6]
[8,4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4,8]
[4,8,3,5,1,6,7,2]=>[2,7,6,1,5,3,8,4]
[7,6,4,5,1,8,3,2]=>[2,3,8,1,5,4,6,7]
[8,2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2,8]
[8,4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4,8]
[8,2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2,8]
[5,2,7,1,4,8,6,3]=>[3,6,8,4,1,7,2,5]
[4,6,1,5,7,3,8,2]=>[2,8,3,7,5,1,6,4]
[6,5,2,4,7,8,3,1]=>[1,3,8,7,4,2,5,6]
[8,2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2,8]
[5,6,4,1,7,2,3,8]=>[8,3,2,7,1,4,6,5]
[2,7,3,4,5,1,6,8]=>[8,6,1,5,4,3,7,2]
[2,5,6,8,4,1,3,7]=>[7,3,1,4,8,6,5,2]
[6,1,5,3,2,4,8,7]=>[7,8,4,2,3,5,1,6]
[6,2,4,5,8,7,1,3]=>[3,1,7,8,5,4,2,6]
[3,7,5,4,1,2,8,6]=>[6,8,2,1,4,5,7,3]
[8,4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4,8]
[7,6,2,5,4,1,3,8]=>[8,3,1,4,5,2,6,7]
[4,7,6,1,3,5,2,8]=>[8,2,5,3,1,6,7,4]
[8,2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2,8]
[8,4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4,8]
[3,7,8,1,6,4,5,2]=>[2,5,4,6,1,8,7,3]
[8,4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4,8]
[5,4,7,2,3,6,1,8]=>[8,1,6,3,2,7,4,5]
[8,2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2,8]
[8,1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1,8]
[8,2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2,8]
[1,5,3,6,2,4,8,7]=>[7,8,4,2,6,3,5,1]
[8,1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1,8]
[8,5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5,8]
[7,2,6,5,3,8,4,1]=>[1,4,8,3,5,6,2,7]
[4,6,8,7,2,1,3,5]=>[5,3,1,2,7,8,6,4]
[5,3,4,6,1,8,7,2]=>[2,7,8,1,6,4,3,5]
[3,8,5,6,7,2,4,1]=>[1,4,2,7,6,5,8,3]
[3,1,5,4,8,6,7,2]=>[2,7,6,8,4,5,1,3]
[7,8,4,2,5,6,3,1]=>[1,3,6,5,2,4,8,7]
[7,4,5,8,6,3,1,2]=>[2,1,3,6,8,5,4,7]
[1,7,3,6,5,8,4,2]=>[2,4,8,5,6,3,7,1]
[5,1,4,8,7,6,2,3]=>[3,2,6,7,8,4,1,5]
[6,8,1,2,5,3,4,7]=>[7,4,3,5,2,1,8,6]
[6,7,1,3,4,5,2,8]=>[8,2,5,4,3,1,7,6]
[7,1,6,5,3,4,2,8]=>[8,2,4,3,5,6,1,7]
[5,2,6,8,3,4,1,7]=>[7,1,4,3,8,6,2,5]
[1,8,3,4,6,5,2,7]=>[7,2,5,6,4,3,8,1]
[1,3,8,6,4,5,2,7]=>[7,2,5,4,6,8,3,1]
[6,2,3,8,1,7,5,4]=>[4,5,7,1,8,3,2,6]
[4,5,8,2,7,6,1,3]=>[3,1,6,7,2,8,5,4]
[4,3,5,8,7,1,6,2]=>[2,6,1,7,8,5,3,4]
[8,2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2,8]
[1,5,3,6,4,7,8,2]=>[2,8,7,4,6,3,5,1]
[7,8,2,5,3,4,6,1]=>[1,6,4,3,5,2,8,7]
[6,7,5,2,4,3,8,1]=>[1,8,3,4,2,5,7,6]
[3,8,4,7,1,2,6,5]=>[5,6,2,1,7,4,8,3]
[5,4,8,6,7,2,1,3]=>[3,1,2,7,6,8,4,5]
[2,8,5,1,6,7,4,3]=>[3,4,7,6,1,5,8,2]
[7,4,3,8,5,1,2,6]=>[6,2,1,5,8,3,4,7]
[5,3,2,8,7,4,6,1]=>[1,6,4,7,8,2,3,5]
[4,1,8,3,7,6,2,5]=>[5,2,6,7,3,8,1,4]
[7,3,1,2,6,5,4,8]=>[8,4,5,6,2,1,3,7]
[5,2,4,1,6,3,7,8]=>[8,7,3,6,1,4,2,5]
[3,7,4,6,2,1,5,8]=>[8,5,1,2,6,4,7,3]
[3,5,7,6,1,2,8,4]=>[4,8,2,1,6,7,5,3]
[8,6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6,8]
[6,2,3,5,1,4,7,8]=>[8,7,4,1,5,3,2,6]
[4,2,8,5,6,1,7,3]=>[3,7,1,6,5,8,2,4]
[7,8,2,4,3,6,5,1]=>[1,5,6,3,4,2,8,7]
[8,2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2,8]
[8,6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6,8]
[5,8,1,2,6,4,3,7]=>[7,3,4,6,2,1,8,5]
[5,4,7,1,2,6,8,3]=>[3,8,6,2,1,7,4,5]
[5,2,4,6,1,3,7,8]=>[8,7,3,1,6,4,2,5]
[7,1,2,5,6,4,3,8]=>[8,3,4,6,5,2,1,7]
[2,7,4,6,5,1,3,8]=>[8,3,1,5,6,4,7,2]
[8,4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4,8]
[4,7,1,2,6,5,3,8]=>[8,3,5,6,2,1,7,4]
[6,2,1,3,5,8,4,7]=>[7,4,8,5,3,1,2,6]
[6,4,1,8,5,7,2,3]=>[3,2,7,5,8,1,4,6]
[6,5,7,1,8,3,2,4]=>[4,2,3,8,1,7,5,6]
[4,7,3,6,8,1,5,2]=>[2,5,1,8,6,3,7,4]
[1,6,3,8,2,5,7,4]=>[4,7,5,2,8,3,6,1]
[1,2,6,7,3,5,8,4]=>[4,8,5,3,7,6,2,1]
[4,8,5,3,6,7,2,1]=>[1,2,7,6,3,5,8,4]
[6,5,3,1,4,8,7,2]=>[2,7,8,4,1,3,5,6]
[2,4,6,5,7,1,3,8]=>[8,3,1,7,5,6,4,2]
[3,5,8,2,6,7,4,1]=>[1,4,7,6,2,8,5,3]
[2,8,3,6,4,5,1,7]=>[7,1,5,4,6,3,8,2]
[6,5,2,3,1,8,4,7]=>[7,4,8,1,3,2,5,6]
[4,7,8,6,5,2,3,1]=>[1,3,2,5,6,8,7,4]
[5,2,3,6,8,7,4,1]=>[1,4,7,8,6,3,2,5]
[7,8,1,4,3,6,5,2]=>[2,5,6,3,4,1,8,7]
[7,8,6,4,2,1,5,3]=>[3,5,1,2,4,6,8,7]
[7,2,6,1,3,8,4,5]=>[5,4,8,3,1,6,2,7]
[8,3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3,8]
[3,7,1,2,6,4,8,5]=>[5,8,4,6,2,1,7,3]
[5,2,4,6,3,8,7,1]=>[1,7,8,3,6,4,2,5]
[7,2,4,6,8,5,3,1]=>[1,3,5,8,6,4,2,7]
[5,7,2,6,4,8,3,1]=>[1,3,8,4,6,2,7,5]
[7,6,2,8,3,4,1,5]=>[5,1,4,3,8,2,6,7]
[2,8,7,3,6,4,5,1]=>[1,5,4,6,3,7,8,2]
[8,4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4,8]
[3,7,1,5,6,4,2,8]=>[8,2,4,6,5,1,7,3]
[6,3,5,7,4,1,2,8]=>[8,2,1,4,7,5,3,6]
[4,8,6,1,3,7,2,5]=>[5,2,7,3,1,6,8,4]
[5,3,4,7,2,8,6,1]=>[1,6,8,2,7,4,3,5]
[5,2,7,8,3,1,6,4]=>[4,6,1,3,8,7,2,5]
[7,8,4,5,2,1,6,3]=>[3,6,1,2,5,4,8,7]
[2,4,3,5,7,1,6,8]=>[8,6,1,7,5,3,4,2]
[8,7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7,8]
[8,3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3,8]
[8,2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2,8]
[8,6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6,8]
[8,4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4,8]
[2,7,3,6,8,4,5,1]=>[1,5,4,8,6,3,7,2]
[4,5,1,8,3,2,6,7]=>[7,6,2,3,8,1,5,4]
[5,2,7,6,3,4,1,8]=>[8,1,4,3,6,7,2,5]
[1,6,3,5,7,4,2,8]=>[8,2,4,7,5,3,6,1]
[6,4,2,5,7,1,3,8]=>[8,3,1,7,5,2,4,6]
[2,5,7,4,3,6,1,8]=>[8,1,6,3,4,7,5,2]
[7,4,6,5,3,8,1,2]=>[2,1,8,3,5,6,4,7]
[2,5,1,4,8,7,6,3]=>[3,6,7,8,4,1,5,2]
[3,8,6,4,2,1,7,5]=>[5,7,1,2,4,6,8,3]
[6,1,8,3,5,7,2,4]=>[4,2,7,5,3,8,1,6]
[2,7,4,5,1,3,6,8]=>[8,6,3,1,5,4,7,2]
[3,7,4,5,2,1,6,8]=>[8,6,1,2,5,4,7,3]
[4,7,1,5,2,3,6,8]=>[8,6,3,2,5,1,7,4]
[8,5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5,8]
[4,7,8,6,5,3,1,2]=>[2,1,3,5,6,8,7,4]
[7,8,3,6,5,4,2,1]=>[1,2,4,5,6,3,8,7]
[8,4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4,8]
[8,7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7,8]
[2,7,3,4,1,6,5,8]=>[8,5,6,1,4,3,7,2]
[4,2,3,5,7,1,6,8]=>[8,6,1,7,5,3,2,4]
[4,2,3,6,1,5,7,8]=>[8,7,5,1,6,3,2,4]
[3,4,7,2,6,1,5,8]=>[8,5,1,6,2,7,4,3]
[5,2,3,7,1,4,6,8]=>[8,6,4,1,7,3,2,5]
[3,1,2,7,6,8,4,5]=>[5,4,8,6,7,2,1,3]
[4,1,6,5,8,7,2,3]=>[3,2,7,8,5,6,1,4]
[3,6,2,8,5,4,7,1]=>[1,7,4,5,8,2,6,3]
[7,4,5,3,1,6,2,8]=>[8,2,6,1,3,5,4,7]
[5,7,1,2,4,6,3,8]=>[8,3,6,4,2,1,7,5]
[2,5,3,8,6,4,7,1]=>[1,7,4,6,8,3,5,2]
[1,5,3,2,6,4,8,7]=>[7,8,4,6,2,3,5,1]
[1,5,2,6,4,3,8,7]=>[7,8,3,4,6,2,5,1]
[2,1,3,7,6,4,8,5]=>[5,8,4,6,7,3,1,2]
[7,2,8,3,4,1,6,5]=>[5,6,1,4,3,8,2,7]
[1,2,6,3,5,8,4,7]=>[7,4,8,5,3,6,2,1]
[6,7,5,1,2,4,3,8]=>[8,3,4,2,1,5,7,6]
[7,1,4,6,2,5,8,3]=>[3,8,5,2,6,4,1,7]
[6,2,8,1,5,3,4,7]=>[7,4,3,5,1,8,2,6]
[1,3,6,5,2,8,7,4]=>[4,7,8,2,5,6,3,1]
[3,1,8,4,2,6,7,5]=>[5,7,6,2,4,8,1,3]
[2,6,3,5,8,4,7,1]=>[1,7,4,8,5,3,6,2]
[7,6,2,1,4,3,5,8]=>[8,5,3,4,1,2,6,7]
[4,7,1,3,6,8,5,2]=>[2,5,8,6,3,1,7,4]
[5,1,4,7,6,3,8,2]=>[2,8,3,6,7,4,1,5]
[8,3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3,8]
[2,8,1,4,3,5,6,7]=>[7,6,5,3,4,1,8,2]
[8,3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3,8]
[4,6,2,3,7,1,5,8]=>[8,5,1,7,3,2,6,4]
[1,7,3,2,5,8,6,4]=>[4,6,8,5,2,3,7,1]
[3,7,2,4,5,1,8,6]=>[6,8,1,5,4,2,7,3]
[2,1,7,5,3,4,6,8]=>[8,6,4,3,5,7,1,2]
[4,5,8,6,1,2,3,7]=>[7,3,2,1,6,8,5,4]
[1,8,5,3,4,2,7,6]=>[6,7,2,4,3,5,8,1]
[8,1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1,8]
[1,3,8,7,4,2,5,6]=>[6,5,2,4,7,8,3,1]
[8,7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7,8]
[5,2,7,6,3,1,4,8]=>[8,4,1,3,6,7,2,5]
[6,1,3,2,8,7,4,5]=>[5,4,7,8,2,3,1,6]
[8,2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2,8]
[2,7,6,3,5,8,4,1]=>[1,4,8,5,3,6,7,2]
[5,1,6,3,4,7,2,8]=>[8,2,7,4,3,6,1,5]
[7,1,5,8,2,4,6,3]=>[3,6,4,2,8,5,1,7]
[3,4,8,2,1,7,5,6]=>[6,5,7,1,2,8,4,3]
[6,4,5,1,7,3,2,8]=>[8,2,3,7,1,5,4,6]
[7,6,2,4,5,1,3,8]=>[8,3,1,5,4,2,6,7]
[3,8,6,2,1,5,4,7]=>[7,4,5,1,2,6,8,3]
[6,8,2,3,5,4,1,7]=>[7,1,4,5,3,2,8,6]
[2,7,8,6,4,3,5,1]=>[1,5,3,4,6,8,7,2]
[7,1,8,2,6,5,3,4]=>[4,3,5,6,2,8,1,7]
[8,5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5,8]
[8,5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5,8]
[7,5,2,6,4,1,8,3]=>[3,8,1,4,6,2,5,7]
[3,1,2,5,8,4,7,6]=>[6,7,4,8,5,2,1,3]
[8,7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7,8]
[4,7,5,6,1,2,3,8]=>[8,3,2,1,6,5,7,4]
[6,2,7,3,4,8,5,1]=>[1,5,8,4,3,7,2,6]
[8,2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2,8]
[3,8,6,2,5,4,1,7]=>[7,1,4,5,2,6,8,3]
[6,1,8,7,5,2,4,3]=>[3,4,2,5,7,8,1,6]
[8,2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2,8]
[4,7,5,2,1,6,8,3]=>[3,8,6,1,2,5,7,4]
[8,3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3,8]
[1,8,3,2,6,5,4,7]=>[7,4,5,6,2,3,8,1]
[7,1,4,8,6,5,3,2]=>[2,3,5,6,8,4,1,7]
[8,3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3,8]
[8,3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3,8]
[6,7,5,1,4,2,3,8]=>[8,3,2,4,1,5,7,6]
[8,3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3,8]
[7,4,6,3,2,5,8,1]=>[1,8,5,2,3,6,4,7]
[5,7,6,4,2,3,8,1]=>[1,8,3,2,4,6,7,5]
[8,5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5,8]
[6,1,3,7,8,5,2,4]=>[4,2,5,8,7,3,1,6]
[6,1,3,2,5,7,4,8]=>[8,4,7,5,2,3,1,6]
[4,1,3,5,7,6,2,8]=>[8,2,6,7,5,3,1,4]
[4,5,7,8,6,1,3,2]=>[2,3,1,6,8,7,5,4]
[5,4,2,7,8,6,3,1]=>[1,3,6,8,7,2,4,5]
[2,7,8,1,5,6,4,3]=>[3,4,6,5,1,8,7,2]
[6,1,8,5,2,3,7,4]=>[4,7,3,2,5,8,1,6]
[2,8,6,1,3,7,4,5]=>[5,4,7,3,1,6,8,2]
[8,1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1,8]
[2,6,1,3,5,7,4,8]=>[8,4,7,5,3,1,6,2]
[4,6,2,5,7,8,3,1]=>[1,3,8,7,5,2,6,4]
[5,2,8,1,4,3,6,7]=>[7,6,3,4,1,8,2,5]
[5,3,8,4,2,1,7,6]=>[6,7,1,2,4,8,3,5]
[5,6,1,3,8,2,4,7]=>[7,4,2,8,3,1,6,5]
[7,5,2,8,4,3,6,1]=>[1,6,3,4,8,2,5,7]
[1,2,8,3,7,5,6,4]=>[4,6,5,7,3,8,2,1]
[4,7,2,5,3,6,8,1]=>[1,8,6,3,5,2,7,4]
[8,5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5,8]
[7,3,6,4,8,5,2,1]=>[1,2,5,8,4,6,3,7]
[8,4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4,8]
[3,1,8,7,4,5,6,2]=>[2,6,5,4,7,8,1,3]
[8,5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5,8]
[6,3,5,8,1,4,7,2]=>[2,7,4,1,8,5,3,6]
[6,8,1,2,5,4,3,7]=>[7,3,4,5,2,1,8,6]
[1,6,5,7,2,4,8,3]=>[3,8,4,2,7,5,6,1]
[3,6,7,4,5,1,2,8]=>[8,2,1,5,4,7,6,3]
[5,7,4,2,3,6,1,8]=>[8,1,6,3,2,4,7,5]
[3,4,8,2,5,1,6,7]=>[7,6,1,5,2,8,4,3]
[4,3,8,2,6,5,1,7]=>[7,1,5,6,2,8,3,4]
[6,2,5,4,7,8,3,1]=>[1,3,8,7,4,5,2,6]
[7,3,5,2,4,6,8,1]=>[1,8,6,4,2,5,3,7]
[8,5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5,8]
[2,1,7,3,6,5,4,8]=>[8,4,5,6,3,7,1,2]
[7,3,4,2,5,8,1,6]=>[6,1,8,5,2,4,3,7]
[3,4,1,7,6,5,2,8]=>[8,2,5,6,7,1,4,3]
[3,5,8,6,7,1,2,4]=>[4,2,1,7,6,8,5,3]
[8,3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3,8]
[1,5,6,3,2,4,8,7]=>[7,8,4,2,3,6,5,1]
[3,2,7,8,6,5,1,4]=>[4,1,5,6,8,7,2,3]
[6,7,4,1,3,5,2,8]=>[8,2,5,3,1,4,7,6]
[3,2,8,6,5,7,1,4]=>[4,1,7,5,6,8,2,3]
[8,3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3,8]
[5,7,2,4,3,1,6,8]=>[8,6,1,3,4,2,7,5]
[7,2,3,6,1,5,4,8]=>[8,4,5,1,6,3,2,7]
[8,1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1,8]
[7,1,2,5,4,3,6,8]=>[8,6,3,4,5,2,1,7]
[7,4,2,6,8,3,1,5]=>[5,1,3,8,6,2,4,7]
[8,4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4,8]
[4,8,1,5,3,2,7,6]=>[6,7,2,3,5,1,8,4]
[1,5,6,3,2,7,4,8]=>[8,4,7,2,3,6,5,1]
[8,3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3,8]
[7,1,3,5,2,6,4,8]=>[8,4,6,2,5,3,1,7]
[8,4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4,8]
[3,2,8,4,6,7,1,5]=>[5,1,7,6,4,8,2,3]
[2,1,3,7,4,6,5,8]=>[8,5,6,4,7,3,1,2]
[2,8,1,4,6,3,7,5]=>[5,7,3,6,4,1,8,2]
[3,4,6,8,1,2,7,5]=>[5,7,2,1,8,6,4,3]
[7,4,5,1,3,2,8,6]=>[6,8,2,3,1,5,4,7]
[7,3,4,2,8,6,5,1]=>[1,5,6,8,2,4,3,7]
[7,1,5,4,8,6,2,3]=>[3,2,6,8,4,5,1,7]
[1,5,7,4,3,6,8,2]=>[2,8,6,3,4,7,5,1]
[8,5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5,8]
[3,5,8,4,1,7,6,2]=>[2,6,7,1,4,8,5,3]
[8,4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4,8]
[8,5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5,8]
[2,7,5,6,4,8,3,1]=>[1,3,8,4,6,5,7,2]
[7,5,1,6,4,8,3,2]=>[2,3,8,4,6,1,5,7]
[4,8,7,1,3,2,5,6]=>[6,5,2,3,1,7,8,4]
[3,8,5,2,4,1,7,6]=>[6,7,1,4,2,5,8,3]
[3,6,2,5,7,4,1,8]=>[8,1,4,7,5,2,6,3]
[5,6,3,7,8,4,1,2]=>[2,1,4,8,7,3,6,5]
[5,6,1,3,4,7,8,2]=>[2,8,7,4,3,1,6,5]
[3,1,5,7,2,6,4,8]=>[8,4,6,2,7,5,1,3]
[8,6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6,8]
[6,3,7,1,5,8,2,4]=>[4,2,8,5,1,7,3,6]
[5,1,6,4,7,2,3,8]=>[8,3,2,7,4,6,1,5]
[3,6,4,1,8,5,2,7]=>[7,2,5,8,1,4,6,3]
[3,6,4,1,8,5,7,2]=>[2,7,5,8,1,4,6,3]
[5,6,3,1,4,8,7,2]=>[2,7,8,4,1,3,6,5]
[5,3,4,8,7,2,1,6]=>[6,1,2,7,8,4,3,5]
[3,6,8,7,4,2,1,5]=>[5,1,2,4,7,8,6,3]
[6,4,8,5,2,1,3,7]=>[7,3,1,2,5,8,4,6]
[4,6,5,1,2,7,8,3]=>[3,8,7,2,1,5,6,4]
[3,7,1,4,6,2,8,5]=>[5,8,2,6,4,1,7,3]
[7,5,6,1,4,8,3,2]=>[2,3,8,4,1,6,5,7]
[2,7,1,6,4,5,3,8]=>[8,3,5,4,6,1,7,2]
[4,7,3,2,6,1,8,5]=>[5,8,1,6,2,3,7,4]
[5,8,4,6,2,1,3,7]=>[7,3,1,2,6,4,8,5]
[3,5,1,4,7,8,6,2]=>[2,6,8,7,4,1,5,3]
[3,8,6,7,1,4,2,5]=>[5,2,4,1,7,6,8,3]
[6,3,2,4,8,1,7,5]=>[5,7,1,8,4,2,3,6]
[5,1,6,7,2,4,3,8]=>[8,3,4,2,7,6,1,5]
[5,8,2,3,7,1,6,4]=>[4,6,1,7,3,2,8,5]
[5,8,1,2,7,4,6,3]=>[3,6,4,7,2,1,8,5]
[3,4,2,7,5,8,1,6]=>[6,1,8,5,7,2,4,3]
[1,7,4,3,5,2,6,8]=>[8,6,2,5,3,4,7,1]
[3,8,2,5,7,4,1,6]=>[6,1,4,7,5,2,8,3]
[4,5,2,1,3,7,8,6]=>[6,8,7,3,1,2,5,4]
[7,8,2,5,4,6,3,1]=>[1,3,6,4,5,2,8,7]
[4,2,1,7,6,3,5,8]=>[8,5,3,6,7,1,2,4]
[7,5,2,1,3,4,8,6]=>[6,8,4,3,1,2,5,7]
[3,8,5,4,2,6,1,7]=>[7,1,6,2,4,5,8,3]
[7,6,1,3,2,4,5,8]=>[8,5,4,2,3,1,6,7]
[6,1,4,3,7,8,5,2]=>[2,5,8,7,3,4,1,6]
[8,5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5,8]
[5,8,3,2,4,7,1,6]=>[6,1,7,4,2,3,8,5]
[3,7,2,6,4,1,8,5]=>[5,8,1,4,6,2,7,3]
[6,2,7,5,1,4,3,8]=>[8,3,4,1,5,7,2,6]
[5,1,4,6,8,7,2,3]=>[3,2,7,8,6,4,1,5]
[7,6,2,1,4,5,8,3]=>[3,8,5,4,1,2,6,7]
[3,5,1,2,8,7,6,4]=>[4,6,7,8,2,1,5,3]
[8,3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3,8]
[8,2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2,8]
[8,3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3,8]
[8,6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6,8]
[8,4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4,8]
[8,3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3,8]
[4,8,1,5,6,3,2,7]=>[7,2,3,6,5,1,8,4]
[5,8,7,3,1,2,6,4]=>[4,6,2,1,3,7,8,5]
[7,2,5,4,3,1,8,6]=>[6,8,1,3,4,5,2,7]
[4,3,1,7,2,6,5,8]=>[8,5,6,2,7,1,3,4]
[7,4,5,2,1,6,3,8]=>[8,3,6,1,2,5,4,7]
[3,6,5,1,2,4,7,8]=>[8,7,4,2,1,5,6,3]
[2,6,1,5,3,8,7,4]=>[4,7,8,3,5,1,6,2]
[4,2,3,7,5,8,6,1]=>[1,6,8,5,7,3,2,4]
[3,1,8,6,4,5,2,7]=>[7,2,5,4,6,8,1,3]
[5,6,4,1,3,8,7,2]=>[2,7,8,3,1,4,6,5]
[5,2,7,8,4,3,6,1]=>[1,6,3,4,8,7,2,5]
[7,3,4,8,2,5,6,1]=>[1,6,5,2,8,4,3,7]
[1,5,8,6,7,2,4,3]=>[3,4,2,7,6,8,5,1]
[4,5,7,1,8,3,6,2]=>[2,6,3,8,1,7,5,4]
[2,7,1,6,4,5,8,3]=>[3,8,5,4,6,1,7,2]
[5,2,1,6,7,3,8,4]=>[4,8,3,7,6,1,2,5]
[3,2,7,4,6,1,5,8]=>[8,5,1,6,4,7,2,3]
[1,8,6,2,7,5,4,3]=>[3,4,5,7,2,6,8,1]
[1,5,7,2,6,3,8,4]=>[4,8,3,6,2,7,5,1]
[4,6,2,5,8,3,1,7]=>[7,1,3,8,5,2,6,4]
[2,5,8,1,6,3,4,7]=>[7,4,3,6,1,8,5,2]
[8,1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1,8]
[4,2,7,3,8,1,5,6]=>[6,5,1,8,3,7,2,4]
[1,7,8,2,6,5,3,4]=>[4,3,5,6,2,8,7,1]
[4,7,3,2,1,6,8,5]=>[5,8,6,1,2,3,7,4]
[1,3,7,8,6,2,5,4]=>[4,5,2,6,8,7,3,1]
[3,6,5,7,2,4,8,1]=>[1,8,4,2,7,5,6,3]
[3,6,4,1,7,5,8,2]=>[2,8,5,7,1,4,6,3]
[8,3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3,8]
[8,1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1,8]
[7,2,4,3,5,1,6,8]=>[8,6,1,5,3,4,2,7]
[1,2,4,8,5,3,6,7]=>[7,6,3,5,8,4,2,1]
[7,4,5,1,6,3,2,8]=>[8,2,3,6,1,5,4,7]
[6,8,7,2,1,4,5,3]=>[3,5,4,1,2,7,8,6]
[3,6,7,2,5,4,1,8]=>[8,1,4,5,2,7,6,3]
[4,7,8,2,3,6,5,1]=>[1,5,6,3,2,8,7,4]
[6,8,4,3,5,2,1,7]=>[7,1,2,5,3,4,8,6]
[3,8,1,2,6,7,5,4]=>[4,5,7,6,2,1,8,3]
[2,4,7,6,3,5,1,8]=>[8,1,5,3,6,7,4,2]
[2,7,5,1,6,4,8,3]=>[3,8,4,6,1,5,7,2]
[6,1,3,8,7,4,2,5]=>[5,2,4,7,8,3,1,6]
[8,2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2,8]
[4,8,5,3,6,2,1,7]=>[7,1,2,6,3,5,8,4]
[4,8,3,2,5,7,1,6]=>[6,1,7,5,2,3,8,4]
[6,1,5,4,8,7,3,2]=>[2,3,7,8,4,5,1,6]
[1,4,7,8,6,5,2,3]=>[3,2,5,6,8,7,4,1]
[5,4,8,6,7,1,3,2]=>[2,3,1,7,6,8,4,5]
[3,1,7,5,6,4,2,8]=>[8,2,4,6,5,7,1,3]
[3,1,6,7,5,4,8,2]=>[2,8,4,5,7,6,1,3]
[3,5,2,1,4,8,6,7]=>[7,6,8,4,1,2,5,3]
[8,1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1,8]
[3,6,7,4,2,1,5,8]=>[8,5,1,2,4,7,6,3]
[8,2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2,8]
[4,6,3,1,5,8,2,7]=>[7,2,8,5,1,3,6,4]
[3,8,6,2,1,4,7,5]=>[5,7,4,1,2,6,8,3]
[2,8,5,1,7,4,3,6]=>[6,3,4,7,1,5,8,2]
[6,1,4,3,7,5,2,8]=>[8,2,5,7,3,4,1,6]
[3,5,2,4,6,8,7,1]=>[1,7,8,6,4,2,5,3]
[7,3,6,8,2,1,4,5]=>[5,4,1,2,8,6,3,7]
[3,1,7,6,4,5,8,2]=>[2,8,5,4,6,7,1,3]
[7,3,1,2,8,5,4,6]=>[6,4,5,8,2,1,3,7]
[8,3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3,8]
[4,8,3,5,2,6,7,1]=>[1,7,6,2,5,3,8,4]
[7,5,8,2,3,4,1,6]=>[6,1,4,3,2,8,5,7]
[1,5,7,2,8,6,3,4]=>[4,3,6,8,2,7,5,1]
[8,4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4,8]
[8,6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6,8]
[2,1,7,4,5,3,6,8]=>[8,6,3,5,4,7,1,2]
[2,6,4,7,1,3,5,8]=>[8,5,3,1,7,4,6,2]
[7,4,5,8,3,1,2,6]=>[6,2,1,3,8,5,4,7]
[5,2,6,1,7,8,3,4]=>[4,3,8,7,1,6,2,5]
[7,2,4,5,6,1,3,8]=>[8,3,1,6,5,4,2,7]
[6,4,1,5,7,3,2,8]=>[8,2,3,7,5,1,4,6]
[3,4,8,5,2,6,1,7]=>[7,1,6,2,5,8,4,3]
[8,3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3,8]
[8,4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4,8]
[4,7,8,1,3,6,5,2]=>[2,5,6,3,1,8,7,4]
[8,6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6,8]
[4,2,5,1,6,7,3,8]=>[8,3,7,6,1,5,2,4]
[6,1,8,5,7,2,4,3]=>[3,4,2,7,5,8,1,6]
[8,5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5,8]
[6,2,5,7,3,8,1,4]=>[4,1,8,3,7,5,2,6]
[8,6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6,8]
[4,3,5,7,1,8,6,2]=>[2,6,8,1,7,5,3,4]
[5,1,3,6,4,7,2,8]=>[8,2,7,4,6,3,1,5]
[7,2,1,4,8,5,6,3]=>[3,6,5,8,4,1,2,7]
[2,3,6,4,5,8,1,7]=>[7,1,8,5,4,6,3,2]
[2,4,6,7,5,1,3,8]=>[8,3,1,5,7,6,4,2]
[5,1,4,6,3,2,7,8]=>[8,7,2,3,6,4,1,5]
[8,6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6,8]
[4,5,6,1,8,2,7,3]=>[3,7,2,8,1,6,5,4]
[1,3,2,6,8,5,7,4]=>[4,7,5,8,6,2,3,1]
[3,6,8,7,2,4,5,1]=>[1,5,4,2,7,8,6,3]
[2,8,5,3,7,1,4,6]=>[6,4,1,7,3,5,8,2]
[3,7,6,2,4,1,5,8]=>[8,5,1,4,2,6,7,3]
[7,8,2,4,5,3,1,6]=>[6,1,3,5,4,2,8,7]
[5,1,3,8,7,4,2,6]=>[6,2,4,7,8,3,1,5]
[4,7,2,1,5,6,3,8]=>[8,3,6,5,1,2,7,4]
[5,2,7,8,3,4,6,1]=>[1,6,4,3,8,7,2,5]
[3,5,2,4,6,7,1,8]=>[8,1,7,6,4,2,5,3]
[3,2,7,5,1,4,8,6]=>[6,8,4,1,5,7,2,3]
[8,6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6,8]
[7,1,3,2,4,5,8,6]=>[6,8,5,4,2,3,1,7]
[5,7,4,8,6,2,3,1]=>[1,3,2,6,8,4,7,5]
[6,3,4,5,1,8,7,2]=>[2,7,8,1,5,4,3,6]
[8,4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4,8]
[8,4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4,8]
[3,4,1,6,7,5,2,8]=>[8,2,5,7,6,1,4,3]
[6,1,4,7,5,2,8,3]=>[3,8,2,5,7,4,1,6]
[7,3,4,6,5,1,8,2]=>[2,8,1,5,6,4,3,7]
[2,8,5,4,7,1,6,3]=>[3,6,1,7,4,5,8,2]
[8,5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5,8]
[3,8,4,5,2,7,6,1]=>[1,6,7,2,5,4,8,3]
[2,5,7,6,3,4,8,1]=>[1,8,4,3,6,7,5,2]
[7,8,3,6,4,2,5,1]=>[1,5,2,4,6,3,8,7]
[3,1,8,4,7,6,2,5]=>[5,2,6,7,4,8,1,3]
[4,6,5,8,3,1,2,7]=>[7,2,1,3,8,5,6,4]
[5,1,6,4,2,8,3,7]=>[7,3,8,2,4,6,1,5]
[6,3,5,2,4,8,7,1]=>[1,7,8,4,2,5,3,6]
[2,8,7,4,3,1,6,5]=>[5,6,1,3,4,7,8,2]
[1,7,5,4,2,3,6,8]=>[8,6,3,2,4,5,7,1]
[6,2,3,1,7,5,4,8]=>[8,4,5,7,1,3,2,6]
[4,6,2,1,7,3,8,5]=>[5,8,3,7,1,2,6,4]
[7,6,2,4,8,5,3,1]=>[1,3,5,8,4,2,6,7]
[4,5,7,2,1,3,6,8]=>[8,6,3,1,2,7,5,4]
[5,4,6,2,3,8,7,1]=>[1,7,8,3,2,6,4,5]
[4,3,8,6,5,2,1,7]=>[7,1,2,5,6,8,3,4]
[8,5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5,8]
[6,2,1,4,7,3,5,8]=>[8,5,3,7,4,1,2,6]
[8,4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4,8]
[3,7,2,1,6,4,5,8]=>[8,5,4,6,1,2,7,3]
[2,6,8,7,3,1,5,4]=>[4,5,1,3,7,8,6,2]
[6,4,5,8,1,3,2,7]=>[7,2,3,1,8,5,4,6]
[5,6,4,1,3,7,8,2]=>[2,8,7,3,1,4,6,5]
[8,3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3,8]
[8,6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6,8]
[4,2,5,6,7,3,1,8]=>[8,1,3,7,6,5,2,4]
[2,1,3,7,6,8,4,5]=>[5,4,8,6,7,3,1,2]
[4,8,3,2,6,7,5,1]=>[1,5,7,6,2,3,8,4]
[1,4,7,6,3,5,2,8]=>[8,2,5,3,6,7,4,1]
[3,5,6,8,1,4,7,2]=>[2,7,4,1,8,6,5,3]
[8,1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1,8]
[2,7,1,3,8,6,4,5]=>[5,4,6,8,3,1,7,2]
[3,8,2,7,4,6,5,1]=>[1,5,6,4,7,2,8,3]
[4,8,5,3,7,6,1,2]=>[2,1,6,7,3,5,8,4]
[3,8,2,4,1,7,5,6]=>[6,5,7,1,4,2,8,3]
[4,6,3,8,2,5,7,1]=>[1,7,5,2,8,3,6,4]
[4,2,3,7,8,5,6,1]=>[1,6,5,8,7,3,2,4]
[5,6,4,1,3,7,2,8]=>[8,2,7,3,1,4,6,5]
[2,8,7,4,3,1,5,6]=>[6,5,1,3,4,7,8,2]
[6,3,8,4,1,2,7,5]=>[5,7,2,1,4,8,3,6]
[2,8,4,6,5,3,1,7]=>[7,1,3,5,6,4,8,2]
[8,5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5,8]
[1,7,4,3,8,5,6,2]=>[2,6,5,8,3,4,7,1]
[4,2,8,7,1,5,6,3]=>[3,6,5,1,7,8,2,4]
[6,3,2,1,7,5,8,4]=>[4,8,5,7,1,2,3,6]
[5,6,4,2,3,8,7,1]=>[1,7,8,3,2,4,6,5]
[8,2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2,8]
[3,8,4,5,1,2,7,6]=>[6,7,2,1,5,4,8,3]
[7,2,5,6,4,1,3,8]=>[8,3,1,4,6,5,2,7]
[3,6,2,5,7,1,8,4]=>[4,8,1,7,5,2,6,3]
[3,1,6,4,2,5,7,8]=>[8,7,5,2,4,6,1,3]
[3,8,5,4,2,7,1,6]=>[6,1,7,2,4,5,8,3]
[4,1,7,3,6,8,2,5]=>[5,2,8,6,3,7,1,4]
[4,3,7,6,1,2,5,8]=>[8,5,2,1,6,7,3,4]
[4,5,2,7,6,8,1,3]=>[3,1,8,6,7,2,5,4]
[6,8,7,2,3,1,5,4]=>[4,5,1,3,2,7,8,6]
[2,7,1,3,4,6,5,8]=>[8,5,6,4,3,1,7,2]
[5,6,2,1,8,4,3,7]=>[7,3,4,8,1,2,6,5]
[4,8,3,2,7,5,1,6]=>[6,1,5,7,2,3,8,4]
[5,3,8,4,2,6,1,7]=>[7,1,6,2,4,8,3,5]
[1,6,3,8,7,5,4,2]=>[2,4,5,7,8,3,6,1]
[6,1,8,7,3,2,4,5]=>[5,4,2,3,7,8,1,6]
[5,1,7,3,2,6,4,8]=>[8,4,6,2,3,7,1,5]
[5,3,4,1,7,6,2,8]=>[8,2,6,7,1,4,3,5]
[7,1,5,6,4,2,8,3]=>[3,8,2,4,6,5,1,7]
[6,5,4,1,3,2,7,8]=>[8,7,2,3,1,4,5,6]
[8,1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1,8]
[3,4,5,7,2,6,1,8]=>[8,1,6,2,7,5,4,3]
[6,1,7,5,2,3,8,4]=>[4,8,3,2,5,7,1,6]
[2,5,3,4,7,1,6,8]=>[8,6,1,7,4,3,5,2]
[4,1,7,6,2,5,3,8]=>[8,3,5,2,6,7,1,4]
[6,1,8,5,3,4,2,7]=>[7,2,4,3,5,8,1,6]
[8,4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4,8]
[7,3,8,5,2,4,1,6]=>[6,1,4,2,5,8,3,7]
[8,5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5,8]
[3,8,5,4,1,2,7,6]=>[6,7,2,1,4,5,8,3]
[7,8,1,6,4,3,5,2]=>[2,5,3,4,6,1,8,7]
[1,7,8,2,3,5,4,6]=>[6,4,5,3,2,8,7,1]
[4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]
[7,3,2,4,6,1,8,5]=>[5,8,1,6,4,2,3,7]
[5,2,1,3,4,7,6,8]=>[8,6,7,4,3,1,2,5]
[4,7,6,1,2,8,3,5]=>[5,3,8,2,1,6,7,4]
[2,7,5,8,4,3,1,6]=>[6,1,3,4,8,5,7,2]
[8,5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5,8]
[5,6,7,2,4,1,3,8]=>[8,3,1,4,2,7,6,5]
[3,8,6,7,4,5,2,1]=>[1,2,5,4,7,6,8,3]
[2,8,6,1,4,5,3,7]=>[7,3,5,4,1,6,8,2]
[8,4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4,8]
[4,1,5,3,7,2,6,8]=>[8,6,2,7,3,5,1,4]
[7,4,8,5,1,3,6,2]=>[2,6,3,1,5,8,4,7]
[4,8,2,7,6,3,5,1]=>[1,5,3,6,7,2,8,4]
[5,6,1,3,7,2,4,8]=>[8,4,2,7,3,1,6,5]
[8,1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1,8]
[8,4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4,8]
[3,8,6,7,2,4,5,1]=>[1,5,4,2,7,6,8,3]
[7,2,1,6,4,3,5,8]=>[8,5,3,4,6,1,2,7]
[3,5,7,6,2,1,8,4]=>[4,8,1,2,6,7,5,3]
[8,3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3,8]
[2,8,5,6,1,7,4,3]=>[3,4,7,1,6,5,8,2]
[3,1,2,7,8,5,4,6]=>[6,4,5,8,7,2,1,3]
[6,3,1,5,7,4,8,2]=>[2,8,4,7,5,1,3,6]
[8,2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2,8]
[6,7,1,4,5,8,3,2]=>[2,3,8,5,4,1,7,6]
[2,5,4,1,3,6,8,7]=>[7,8,6,3,1,4,5,2]
[3,4,6,1,7,5,2,8]=>[8,2,5,7,1,6,4,3]
[8,3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3,8]
[3,7,5,8,4,2,6,1]=>[1,6,2,4,8,5,7,3]
[8,7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7,8]
[6,1,5,4,8,7,2,3]=>[3,2,7,8,4,5,1,6]
[3,8,7,4,1,5,6,2]=>[2,6,5,1,4,7,8,3]
[7,5,3,2,4,8,6,1]=>[1,6,8,4,2,3,5,7]
[5,7,2,1,4,3,6,8]=>[8,6,3,4,1,2,7,5]
[1,6,5,2,4,3,8,7]=>[7,8,3,4,2,5,6,1]
[4,2,8,5,7,3,1,6]=>[6,1,3,7,5,8,2,4]
[7,2,1,3,6,5,4,8]=>[8,4,5,6,3,1,2,7]
[1,5,2,4,3,7,8,6]=>[6,8,7,3,4,2,5,1]
[3,1,5,4,2,6,8,7]=>[7,8,6,2,4,5,1,3]
[1,6,8,2,4,7,5,3]=>[3,5,7,4,2,8,6,1]
[6,3,1,5,7,4,2,8]=>[8,2,4,7,5,1,3,6]
[2,7,3,8,6,4,5,1]=>[1,5,4,6,8,3,7,2]
[2,7,5,1,6,4,3,8]=>[8,3,4,6,1,5,7,2]
[8,6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6,8]
[4,3,5,7,1,2,8,6]=>[6,8,2,1,7,5,3,4]
[2,7,1,5,3,6,4,8]=>[8,4,6,3,5,1,7,2]
[4,3,5,1,2,6,8,7]=>[7,8,6,2,1,5,3,4]
[5,7,6,1,3,4,2,8]=>[8,2,4,3,1,6,7,5]
[6,8,3,5,4,2,1,7]=>[7,1,2,4,5,3,8,6]
[1,7,4,6,5,2,3,8]=>[8,3,2,5,6,4,7,1]
[5,1,4,3,8,6,2,7]=>[7,2,6,8,3,4,1,5]
[6,7,2,4,5,8,1,3]=>[3,1,8,5,4,2,7,6]
[8,4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4,8]
[7,1,4,3,2,6,5,8]=>[8,5,6,2,3,4,1,7]
[5,6,4,3,1,8,7,2]=>[2,7,8,1,3,4,6,5]
[6,2,7,1,5,4,8,3]=>[3,8,4,5,1,7,2,6]
[6,2,3,1,5,8,7,4]=>[4,7,8,5,1,3,2,6]
[8,5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5,8]
[3,7,2,4,6,8,5,1]=>[1,5,8,6,4,2,7,3]
[8,1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1,8]
[8,6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6,8]
[4,3,8,5,6,2,1,7]=>[7,1,2,6,5,8,3,4]
[5,2,3,7,6,8,1,4]=>[4,1,8,6,7,3,2,5]
[4,8,2,5,3,7,6,1]=>[1,6,7,3,5,2,8,4]
[4,3,7,5,6,2,1,8]=>[8,1,2,6,5,7,3,4]
[5,2,6,4,3,8,7,1]=>[1,7,8,3,4,6,2,5]
[3,6,7,2,4,1,5,8]=>[8,5,1,4,2,7,6,3]
[7,4,8,5,1,2,3,6]=>[6,3,2,1,5,8,4,7]
[2,5,3,1,8,7,4,6]=>[6,4,7,8,1,3,5,2]
[2,5,6,8,4,1,7,3]=>[3,7,1,4,8,6,5,2]
[4,1,6,7,3,2,5,8]=>[8,5,2,3,7,6,1,4]
[3,4,7,6,1,5,8,2]=>[2,8,5,1,6,7,4,3]
[7,8,2,4,5,3,6,1]=>[1,6,3,5,4,2,8,7]
[3,5,2,1,4,8,7,6]=>[6,7,8,4,1,2,5,3]
[3,8,7,2,4,5,1,6]=>[6,1,5,4,2,7,8,3]
[4,7,6,2,1,3,5,8]=>[8,5,3,1,2,6,7,4]
[2,5,1,8,6,3,4,7]=>[7,4,3,6,8,1,5,2]
[7,3,1,2,4,8,5,6]=>[6,5,8,4,2,1,3,7]
[2,4,3,7,5,1,6,8]=>[8,6,1,5,7,3,4,2]
[4,3,8,6,1,7,2,5]=>[5,2,7,1,6,8,3,4]
[2,5,1,4,8,6,3,7]=>[7,3,6,8,4,1,5,2]
[7,8,5,4,6,1,3,2]=>[2,3,1,6,4,5,8,7]
[2,3,7,4,1,6,5,8]=>[8,5,6,1,4,7,3,2]
[7,4,1,3,8,6,5,2]=>[2,5,6,8,3,1,4,7]
[5,6,4,8,1,7,3,2]=>[2,3,7,1,8,4,6,5]
[8,4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4,8]
[4,5,2,3,6,8,7,1]=>[1,7,8,6,3,2,5,4]
[6,1,4,3,2,7,5,8]=>[8,5,7,2,3,4,1,6]
[1,7,4,5,2,6,3,8]=>[8,3,6,2,5,4,7,1]
[6,3,7,2,4,1,5,8]=>[8,5,1,4,2,7,3,6]
[4,6,7,5,3,1,2,8]=>[8,2,1,3,5,7,6,4]
[7,6,8,2,3,5,4,1]=>[1,4,5,3,2,8,6,7]
[6,3,4,2,7,5,1,8]=>[8,1,5,7,2,4,3,6]
[6,3,7,4,5,2,1,8]=>[8,1,2,5,4,7,3,6]
[2,6,4,3,7,8,1,5]=>[5,1,8,7,3,4,6,2]
[1,7,3,2,6,5,4,8]=>[8,4,5,6,2,3,7,1]
[8,5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5,8]
[4,5,7,8,1,3,6,2]=>[2,6,3,1,8,7,5,4]
[6,1,5,3,2,8,7,4]=>[4,7,8,2,3,5,1,6]
[1,2,8,4,6,5,3,7]=>[7,3,5,6,4,8,2,1]
[1,3,4,7,6,2,5,8]=>[8,5,2,6,7,4,3,1]
[5,7,4,2,1,6,8,3]=>[3,8,6,1,2,4,7,5]
[3,7,4,6,1,2,8,5]=>[5,8,2,1,6,4,7,3]
[2,5,7,4,3,1,8,6]=>[6,8,1,3,4,7,5,2]
[5,2,1,6,4,8,3,7]=>[7,3,8,4,6,1,2,5]
[4,7,5,1,2,3,6,8]=>[8,6,3,2,1,5,7,4]
[3,1,4,5,7,6,8,2]=>[2,8,6,7,5,4,1,3]
[6,8,2,1,5,4,7,3]=>[3,7,4,5,1,2,8,6]
[8,5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5,8]
[8,2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2,8]
[6,8,5,2,4,7,3,1]=>[1,3,7,4,2,5,8,6]
[7,3,2,4,6,8,5,1]=>[1,5,8,6,4,2,3,7]
[4,5,3,8,1,6,7,2]=>[2,7,6,1,8,3,5,4]
[1,7,3,8,6,5,4,2]=>[2,4,5,6,8,3,7,1]
[5,2,1,6,7,3,4,8]=>[8,4,3,7,6,1,2,5]
[1,8,6,4,5,3,2,7]=>[7,2,3,5,4,6,8,1]
[3,8,5,1,7,4,6,2]=>[2,6,4,7,1,5,8,3]
[1,7,4,3,2,6,5,8]=>[8,5,6,2,3,4,7,1]
[5,1,4,8,3,6,7,2]=>[2,7,6,3,8,4,1,5]
[4,3,5,8,2,7,6,1]=>[1,6,7,2,8,5,3,4]
[3,4,1,8,2,7,6,5]=>[5,6,7,2,8,1,4,3]
[1,7,3,2,6,5,8,4]=>[4,8,5,6,2,3,7,1]
[2,4,6,3,1,5,7,8]=>[8,7,5,1,3,6,4,2]
[4,1,5,3,2,6,8,7]=>[7,8,6,2,3,5,1,4]
[5,4,6,1,8,7,3,2]=>[2,3,7,8,1,6,4,5]
[1,7,2,6,4,5,8,3]=>[3,8,5,4,6,2,7,1]
[7,4,5,3,8,6,1,2]=>[2,1,6,8,3,5,4,7]
[2,6,7,1,5,4,3,8]=>[8,3,4,5,1,7,6,2]
[7,8,3,4,6,2,5,1]=>[1,5,2,6,4,3,8,7]
[3,8,6,7,4,2,5,1]=>[1,5,2,4,7,6,8,3]
[5,7,2,4,6,3,1,8]=>[8,1,3,6,4,2,7,5]
[2,4,3,6,7,1,8,5]=>[5,8,1,7,6,3,4,2]
[3,7,6,8,2,4,5,1]=>[1,5,4,2,8,6,7,3]
[2,7,1,3,5,4,6,8]=>[8,6,4,5,3,1,7,2]
[5,3,6,7,4,2,1,8]=>[8,1,2,4,7,6,3,5]
[3,4,7,5,2,1,6,8]=>[8,6,1,2,5,7,4,3]
[1,7,5,2,4,6,8,3]=>[3,8,6,4,2,5,7,1]
[5,6,1,3,8,4,2,7]=>[7,2,4,8,3,1,6,5]
[5,6,7,1,3,4,2,8]=>[8,2,4,3,1,7,6,5]
[3,7,2,1,4,6,5,8]=>[8,5,6,4,1,2,7,3]
[7,2,1,8,6,4,3,5]=>[5,3,4,6,8,1,2,7]
[2,7,8,4,3,1,6,5]=>[5,6,1,3,4,8,7,2]
[2,8,5,6,7,3,4,1]=>[1,4,3,7,6,5,8,2]
[2,1,6,5,3,7,4,8]=>[8,4,7,3,5,6,1,2]
[6,1,7,5,3,4,2,8]=>[8,2,4,3,5,7,1,6]
[4,6,5,2,7,1,3,8]=>[8,3,1,7,2,5,6,4]
[4,8,5,6,2,3,7,1]=>[1,7,3,2,6,5,8,4]
[7,1,6,4,3,5,2,8]=>[8,2,5,3,4,6,1,7]
[5,6,4,1,7,3,2,8]=>[8,2,3,7,1,4,6,5]
[7,3,6,4,1,5,2,8]=>[8,2,5,1,4,6,3,7]
[4,8,5,7,1,3,6,2]=>[2,6,3,1,7,5,8,4]
[8,2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2,8]
[8,3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3,8]
[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]
[8,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,8]
[7,1,2,3,4,5,9,6,8]=>[8,6,9,5,4,3,2,1,7]
[9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]
[7,1,2,3,4,5,8,9,6]=>[6,9,8,5,4,3,2,1,7]
[6,1,2,3,4,9,5,7,8]=>[8,7,5,9,4,3,2,1,6]
[6,1,2,3,4,8,5,9,7]=>[7,9,5,8,4,3,2,1,6]
[9,1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1,9]
[9,1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1,9]
[8,1,2,3,4,7,5,9,6]=>[6,9,5,7,4,3,2,1,8]
[6,1,2,3,4,7,9,5,8]=>[8,5,9,7,4,3,2,1,6]
[6,1,2,3,4,9,8,5,7]=>[7,5,8,9,4,3,2,1,6]
[9,1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1,9]
[6,1,2,3,4,7,8,9,5]=>[5,9,8,7,4,3,2,1,6]
[5,1,2,3,9,4,6,7,8]=>[8,7,6,4,9,3,2,1,5]
[5,1,2,3,8,4,6,9,7]=>[7,9,6,4,8,3,2,1,5]
[5,1,2,3,9,4,8,6,7]=>[7,6,8,4,9,3,2,1,5]
[8,1,2,3,6,4,5,9,7]=>[7,9,5,4,6,3,2,1,8]
[8,1,2,3,9,4,5,6,7]=>[7,6,5,4,9,3,2,1,8]
[8,1,2,3,7,4,5,9,6]=>[6,9,5,4,7,3,2,1,8]
[7,1,2,3,6,4,9,5,8]=>[8,5,9,4,6,3,2,1,7]
[9,1,2,3,6,4,8,5,7]=>[7,5,8,4,6,3,2,1,9]
[7,1,2,3,6,4,8,9,5]=>[5,9,8,4,6,3,2,1,7]
[5,1,2,3,6,9,4,7,8]=>[8,7,4,9,6,3,2,1,5]
[5,1,2,3,6,8,4,9,7]=>[7,9,4,8,6,3,2,1,5]
[5,1,2,3,9,8,4,6,7]=>[7,6,4,8,9,3,2,1,5]
[9,1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1,9]
[9,1,2,3,6,8,4,5,7]=>[7,5,4,8,6,3,2,1,9]
[9,1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1,9]
[8,1,2,3,6,7,4,9,5]=>[5,9,4,7,6,3,2,1,8]
[5,1,2,3,6,7,9,4,8]=>[8,4,9,7,6,3,2,1,5]
[5,1,2,3,6,9,8,4,7]=>[7,4,8,9,6,3,2,1,5]
[9,1,2,3,6,7,8,4,5]=>[5,4,8,7,6,3,2,1,9]
[5,1,2,3,6,7,8,9,4]=>[4,9,8,7,6,3,2,1,5]
[4,1,2,9,3,5,6,7,8]=>[8,7,6,5,3,9,2,1,4]
[4,1,2,8,3,5,6,9,7]=>[7,9,6,5,3,8,2,1,4]
[4,1,2,9,3,5,8,6,7]=>[7,6,8,5,3,9,2,1,4]
[4,1,2,6,3,9,5,7,8]=>[8,7,5,9,3,6,2,1,4]
[4,1,2,6,3,8,5,9,7]=>[7,9,5,8,3,6,2,1,4]
[4,1,2,9,3,8,5,6,7]=>[7,6,5,8,3,9,2,1,4]
[4,1,2,6,3,7,8,9,5]=>[5,9,8,7,3,6,2,1,4]
[9,1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1,9]
[8,1,2,5,3,4,6,9,7]=>[7,9,6,4,3,5,2,1,8]
[9,1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1,9]
[9,1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1,9]
[7,1,2,9,3,4,5,6,8]=>[8,6,5,4,3,9,2,1,7]
[9,1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1,9]
[7,1,2,8,3,4,5,9,6]=>[6,9,5,4,3,8,2,1,7]
[7,1,2,6,3,4,8,9,5]=>[5,9,8,4,3,6,2,1,7]
[6,1,2,5,3,9,4,7,8]=>[8,7,4,9,3,5,2,1,6]
[8,1,2,9,3,7,4,5,6]=>[6,5,4,7,3,9,2,1,8]
[6,1,2,5,3,7,8,9,4]=>[4,9,8,7,3,5,2,1,6]
[4,1,2,5,9,3,6,7,8]=>[8,7,6,3,9,5,2,1,4]
[4,1,2,5,9,3,8,6,7]=>[7,6,8,3,9,5,2,1,4]
[4,1,2,5,7,3,8,9,6]=>[6,9,8,3,7,5,2,1,4]
[4,1,2,8,9,3,5,6,7]=>[7,6,5,3,9,8,2,1,4]
[9,1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1,9]
[8,1,2,5,9,3,4,6,7]=>[7,6,4,3,9,5,2,1,8]
[9,1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1,9]
[8,1,2,9,6,3,4,5,7]=>[7,5,4,3,6,9,2,1,8]
[8,1,2,9,7,3,4,5,6]=>[6,5,4,3,7,9,2,1,8]
[8,1,2,7,6,3,4,9,5]=>[5,9,4,3,6,7,2,1,8]
[9,1,2,5,6,3,8,4,7]=>[7,4,8,3,6,5,2,1,9]
[9,1,2,7,6,3,8,4,5]=>[5,4,8,3,6,7,2,1,9]
[7,1,2,5,6,3,8,9,4]=>[4,9,8,3,6,5,2,1,7]
[4,1,2,5,6,9,3,7,8]=>[8,7,3,9,6,5,2,1,4]
[4,1,2,5,6,8,3,9,7]=>[7,9,3,8,6,5,2,1,4]
[4,1,2,5,9,8,3,6,7]=>[7,6,3,8,9,5,2,1,4]
[9,1,2,5,6,8,3,4,7]=>[7,4,3,8,6,5,2,1,9]
[9,1,2,8,6,7,3,4,5]=>[5,4,3,7,6,8,2,1,9]
[4,1,2,5,6,7,9,3,8]=>[8,3,9,7,6,5,2,1,4]
[4,1,2,5,6,9,8,3,7]=>[7,3,8,9,6,5,2,1,4]
[4,1,2,5,9,7,8,3,6]=>[6,3,8,7,9,5,2,1,4]
[4,1,2,9,6,7,8,3,5]=>[5,3,8,7,6,9,2,1,4]
[9,1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1,9]
[4,1,2,5,6,7,8,9,3]=>[3,9,8,7,6,5,2,1,4]
[3,1,9,2,4,5,6,7,8]=>[8,7,6,5,4,2,9,1,3]
[3,1,8,2,4,5,6,9,7]=>[7,9,6,5,4,2,8,1,3]
[3,1,7,2,4,5,9,6,8]=>[8,6,9,5,4,2,7,1,3]
[3,1,9,2,4,5,8,6,7]=>[7,6,8,5,4,2,9,1,3]
[3,1,6,2,4,7,8,9,5]=>[5,9,8,7,4,2,6,1,3]
[3,1,5,2,9,4,6,7,8]=>[8,7,6,4,9,2,5,1,3]
[3,1,5,2,8,4,6,9,7]=>[7,9,6,4,8,2,5,1,3]
[3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3]
[3,1,5,2,9,4,8,6,7]=>[7,6,8,4,9,2,5,1,3]
[3,1,5,2,7,4,8,9,6]=>[6,9,8,4,7,2,5,1,3]
[3,1,8,2,9,4,5,6,7]=>[7,6,5,4,9,2,8,1,3]
[3,1,7,2,6,4,9,5,8]=>[8,5,9,4,6,2,7,1,3]
[3,1,9,2,6,4,8,5,7]=>[7,5,8,4,6,2,9,1,3]
[3,1,5,2,6,9,4,7,8]=>[8,7,4,9,6,2,5,1,3]
[3,1,5,2,6,7,9,4,8]=>[8,4,9,7,6,2,5,1,3]
[3,1,5,2,6,7,8,9,4]=>[4,9,8,7,6,2,5,1,3]
[9,1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1,9]
[8,1,4,2,3,5,6,9,7]=>[7,9,6,5,3,2,4,1,8]
[9,1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1,9]
[9,1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1,9]
[9,1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1,9]
[6,1,4,2,3,7,8,9,5]=>[5,9,8,7,3,2,4,1,6]
[9,1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1,9]
[6,1,9,2,3,4,5,7,8]=>[8,7,5,4,3,2,9,1,6]
[9,1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1,9]
[9,1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1,9]
[8,1,7,2,3,4,5,9,6]=>[6,9,5,4,3,2,7,1,8]
[6,1,7,2,3,4,9,5,8]=>[8,5,9,4,3,2,7,1,6]
[6,1,9,2,3,4,8,5,7]=>[7,5,8,4,3,2,9,1,6]
[9,1,7,2,3,4,8,5,6]=>[6,5,8,4,3,2,7,1,9]
[6,1,7,2,3,4,8,9,5]=>[5,9,8,4,3,2,7,1,6]
[6,1,5,2,3,9,4,7,8]=>[8,7,4,9,3,2,5,1,6]
[9,1,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,1,9]
[6,1,9,2,3,7,4,5,8]=>[8,5,4,7,3,2,9,1,6]
[9,1,8,2,3,7,4,5,6]=>[6,5,4,7,3,2,8,1,9]
[6,1,5,2,3,7,8,9,4]=>[4,9,8,7,3,2,5,1,6]
[5,1,4,2,9,3,6,7,8]=>[8,7,6,3,9,2,4,1,5]
[5,1,4,2,7,3,9,6,8]=>[8,6,9,3,7,2,4,1,5]
[5,1,4,2,9,3,8,6,7]=>[7,6,8,3,9,2,4,1,5]
[8,1,4,2,9,3,5,6,7]=>[7,6,5,3,9,2,4,1,8]
[7,1,4,2,6,3,9,5,8]=>[8,5,9,3,6,2,4,1,7]
[9,1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1,9]
[9,1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1,9]
[9,1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1,9]
[7,1,9,2,6,3,8,4,5]=>[5,4,8,3,6,2,9,1,7]
[7,1,5,2,6,3,8,9,4]=>[4,9,8,3,6,2,5,1,7]
[9,1,4,2,6,7,3,5,8]=>[8,5,3,7,6,2,4,1,9]
[9,1,5,2,8,7,3,4,6]=>[6,4,3,7,8,2,5,1,9]
[5,1,4,2,6,7,8,9,3]=>[3,9,8,7,6,2,4,1,5]
[3,1,4,9,2,5,6,7,8]=>[8,7,6,5,2,9,4,1,3]
[3,1,4,9,2,5,8,6,7]=>[7,6,8,5,2,9,4,1,3]
[3,1,4,7,2,5,8,9,6]=>[6,9,8,5,2,7,4,1,3]
[3,1,4,6,2,8,5,9,7]=>[7,9,5,8,2,6,4,1,3]
[3,1,4,9,2,8,5,6,7]=>[7,6,5,8,2,9,4,1,3]
[3,1,4,6,2,7,9,5,8]=>[8,5,9,7,2,6,4,1,3]
[3,1,4,6,2,7,8,9,5]=>[5,9,8,7,2,6,4,1,3]
[3,1,7,5,2,4,9,6,8]=>[8,6,9,4,2,5,7,1,3]
[3,1,9,8,2,4,5,6,7]=>[7,6,5,4,2,8,9,1,3]
[3,1,9,5,2,7,4,6,8]=>[8,6,4,7,2,5,9,1,3]
[9,1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1,9]
[7,1,4,5,2,3,8,9,6]=>[6,9,8,3,2,5,4,1,7]
[7,1,4,9,2,3,5,6,8]=>[8,6,5,3,2,9,4,1,7]
[9,1,4,8,2,3,5,6,7]=>[7,6,5,3,2,8,4,1,9]
[7,1,4,9,2,3,8,5,6]=>[6,5,8,3,2,9,4,1,7]
[9,1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1,9]
[9,1,8,5,2,3,4,6,7]=>[7,6,4,3,2,5,8,1,9]
[7,1,9,6,2,3,4,5,8]=>[8,5,4,3,2,6,9,1,7]
[9,1,8,6,2,3,4,5,7]=>[7,5,4,3,2,6,8,1,9]
[7,1,8,9,2,3,4,5,6]=>[6,5,4,3,2,9,8,1,7]
[9,1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1,9]
[7,1,9,6,2,3,8,4,5]=>[5,4,8,3,2,6,9,1,7]
[7,1,6,5,2,3,8,9,4]=>[4,9,8,3,2,5,6,1,7]
[9,1,4,5,2,7,3,6,8]=>[8,6,3,7,2,5,4,1,9]
[9,1,4,5,2,8,3,6,7]=>[7,6,3,8,2,5,4,1,9]
[9,1,6,5,2,8,3,4,7]=>[7,4,3,8,2,5,6,1,9]
[6,1,4,5,2,9,8,3,7]=>[7,3,8,9,2,5,4,1,6]
[9,1,4,6,2,7,8,3,5]=>[5,3,8,7,2,6,4,1,9]
[6,1,4,5,2,7,8,9,3]=>[3,9,8,7,2,5,4,1,6]
[3,1,4,5,9,2,6,7,8]=>[8,7,6,2,9,5,4,1,3]
[3,1,4,5,7,2,8,9,6]=>[6,9,8,2,7,5,4,1,3]
[3,1,4,8,9,2,5,6,7]=>[7,6,5,2,9,8,4,1,3]
[3,1,8,9,7,2,4,5,6]=>[6,5,4,2,7,9,8,1,3]
[3,1,7,5,6,2,9,4,8]=>[8,4,9,2,6,5,7,1,3]
[3,1,7,5,6,2,8,9,4]=>[4,9,8,2,6,5,7,1,3]
[8,1,4,5,6,2,3,9,7]=>[7,9,3,2,6,5,4,1,8]
[8,1,4,9,6,2,3,5,7]=>[7,5,3,2,6,9,4,1,8]
[8,1,4,9,7,2,3,5,6]=>[6,5,3,2,7,9,4,1,8]
[8,1,9,5,6,2,3,4,7]=>[7,4,3,2,6,5,9,1,8]
[8,1,9,7,6,2,3,4,5]=>[5,4,3,2,6,7,9,1,8]
[7,1,4,5,6,2,8,9,3]=>[3,9,8,2,6,5,4,1,7]
[3,1,4,5,6,9,2,7,8]=>[8,7,2,9,6,5,4,1,3]
[3,1,4,5,6,8,2,9,7]=>[7,9,2,8,6,5,4,1,3]
[3,1,4,5,9,8,2,6,7]=>[7,6,2,8,9,5,4,1,3]
[3,1,4,9,8,7,2,5,6]=>[6,5,2,7,8,9,4,1,3]
[3,1,9,5,6,8,2,4,7]=>[7,4,2,8,6,5,9,1,3]
[3,1,9,8,6,7,2,4,5]=>[5,4,2,7,6,8,9,1,3]
[3,1,8,5,6,7,2,9,4]=>[4,9,2,7,6,5,8,1,3]
[9,1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1,9]
[9,1,4,8,6,7,2,3,5]=>[5,3,2,7,6,8,4,1,9]
[9,1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1,9]
[8,1,4,5,6,7,2,9,3]=>[3,9,2,7,6,5,4,1,8]
[3,1,4,5,6,7,9,2,8]=>[8,2,9,7,6,5,4,1,3]
[3,1,4,5,6,9,8,2,7]=>[7,2,8,9,6,5,4,1,3]
[3,1,4,5,9,7,8,2,6]=>[6,2,8,7,9,5,4,1,3]
[3,1,4,9,6,7,8,2,5]=>[5,2,8,7,6,9,4,1,3]
[3,1,9,5,6,7,8,2,4]=>[4,2,8,7,6,5,9,1,3]
[9,1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1,9]
[3,1,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,1,3]
[2,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,2]
[2,8,1,3,4,5,6,9,7]=>[7,9,6,5,4,3,1,8,2]
[2,7,1,3,4,5,9,6,8]=>[8,6,9,5,4,3,1,7,2]
[2,9,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,9,2]
[2,7,1,3,4,5,8,9,6]=>[6,9,8,5,4,3,1,7,2]
[2,6,1,3,4,9,5,7,8]=>[8,7,5,9,4,3,1,6,2]
[2,9,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,9,2]
[2,9,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,9,2]
[2,6,1,3,4,7,8,9,5]=>[5,9,8,7,4,3,1,6,2]
[2,5,1,3,9,4,6,7,8]=>[8,7,6,4,9,3,1,5,2]
[2,5,1,3,7,4,9,6,8]=>[8,6,9,4,7,3,1,5,2]
[2,8,1,3,9,4,5,6,7]=>[7,6,5,4,9,3,1,8,2]
[2,9,1,3,6,4,8,5,7]=>[7,5,8,4,6,3,1,9,2]
[2,5,1,3,6,9,4,7,8]=>[8,7,4,9,6,3,1,5,2]
[2,9,1,3,8,7,4,5,6]=>[6,5,4,7,8,3,1,9,2]
[2,9,1,3,6,7,8,4,5]=>[5,4,8,7,6,3,1,9,2]
[2,5,1,3,6,7,8,9,4]=>[4,9,8,7,6,3,1,5,2]
[2,4,1,9,3,5,6,7,8]=>[8,7,6,5,3,9,1,4,2]
[2,4,1,6,3,9,5,7,8]=>[8,7,5,9,3,6,1,4,2]
[2,4,1,6,3,8,5,9,7]=>[7,9,5,8,3,6,1,4,2]
[2,4,1,6,3,7,9,5,8]=>[8,5,9,7,3,6,1,4,2]
[2,4,1,6,3,9,8,5,7]=>[7,5,8,9,3,6,1,4,2]
[2,4,1,9,3,7,8,5,6]=>[6,5,8,7,3,9,1,4,2]
[2,4,1,6,3,7,8,9,5]=>[5,9,8,7,3,6,1,4,2]
[2,9,1,5,3,4,6,7,8]=>[8,7,6,4,3,5,1,9,2]
[2,9,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,9,2]
[2,7,1,6,3,4,8,9,5]=>[5,9,8,4,3,6,1,7,2]
[2,8,1,9,3,7,4,5,6]=>[6,5,4,7,3,9,1,8,2]
[2,6,1,5,3,7,8,9,4]=>[4,9,8,7,3,5,1,6,2]
[2,4,1,5,9,3,6,7,8]=>[8,7,6,3,9,5,1,4,2]
[2,4,1,8,9,3,5,6,7]=>[7,6,5,3,9,8,1,4,2]
[2,4,1,9,6,3,8,5,7]=>[7,5,8,3,6,9,1,4,2]
[2,8,1,5,6,3,4,9,7]=>[7,9,4,3,6,5,1,8,2]
[2,8,1,9,7,3,4,5,6]=>[6,5,4,3,7,9,1,8,2]
[2,9,1,5,6,3,8,4,7]=>[7,4,8,3,6,5,1,9,2]
[2,9,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,9,2]
[2,7,1,5,6,3,8,9,4]=>[4,9,8,3,6,5,1,7,2]
[2,4,1,5,6,9,3,7,8]=>[8,7,3,9,6,5,1,4,2]
[2,4,1,5,6,8,3,9,7]=>[7,9,3,8,6,5,1,4,2]
[2,4,1,9,8,7,3,5,6]=>[6,5,3,7,8,9,1,4,2]
[2,9,1,5,6,7,3,4,8]=>[8,4,3,7,6,5,1,9,2]
[2,9,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,9,2]
[2,8,1,5,6,7,3,9,4]=>[4,9,3,7,6,5,1,8,2]
[2,4,1,5,6,7,9,3,8]=>[8,3,9,7,6,5,1,4,2]
[2,4,1,5,6,9,8,3,7]=>[7,3,8,9,6,5,1,4,2]
[2,4,1,5,9,7,8,3,6]=>[6,3,8,7,9,5,1,4,2]
[2,4,1,9,6,7,8,3,5]=>[5,3,8,7,6,9,1,4,2]
[2,9,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,9,2]
[2,4,1,5,6,7,8,9,3]=>[3,9,8,7,6,5,1,4,2]
[9,3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3,9]
[8,3,1,2,4,5,6,9,7]=>[7,9,6,5,4,2,1,3,8]
[7,3,1,2,4,5,9,6,8]=>[8,6,9,5,4,2,1,3,7]
[9,3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3,9]
[7,3,1,2,4,5,8,9,6]=>[6,9,8,5,4,2,1,3,7]
[6,3,1,2,4,9,5,7,8]=>[8,7,5,9,4,2,1,3,6]
[9,3,1,2,4,7,5,6,8]=>[8,6,5,7,4,2,1,3,9]
[9,3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3,9]
[6,3,1,2,4,7,9,5,8]=>[8,5,9,7,4,2,1,3,6]
[9,3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3,9]
[6,3,1,2,4,7,8,9,5]=>[5,9,8,7,4,2,1,3,6]
[5,3,1,2,9,4,6,7,8]=>[8,7,6,4,9,2,1,3,5]
[5,3,1,2,7,4,9,6,8]=>[8,6,9,4,7,2,1,3,5]
[9,3,1,2,6,4,5,7,8]=>[8,7,5,4,6,2,1,3,9]
[8,3,1,2,9,4,5,6,7]=>[7,6,5,4,9,2,1,3,8]
[9,3,1,2,7,4,8,5,6]=>[6,5,8,4,7,2,1,3,9]
[5,3,1,2,6,9,4,7,8]=>[8,7,4,9,6,2,1,3,5]
[5,3,1,2,9,7,4,6,8]=>[8,6,4,7,9,2,1,3,5]
[5,3,1,2,8,7,4,9,6]=>[6,9,4,7,8,2,1,3,5]
[9,3,1,2,6,8,4,5,7]=>[7,5,4,8,6,2,1,3,9]
[8,3,1,2,6,7,4,9,5]=>[5,9,4,7,6,2,1,3,8]
[9,3,1,2,6,7,8,4,5]=>[5,4,8,7,6,2,1,3,9]
[5,3,1,2,6,7,8,9,4]=>[4,9,8,7,6,2,1,3,5]
[9,4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4,9]
[8,4,1,2,3,5,6,9,7]=>[7,9,6,5,3,2,1,4,8]
[9,4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4,9]
[7,4,1,2,3,5,8,9,6]=>[6,9,8,5,3,2,1,4,7]
[6,4,1,2,3,9,5,7,8]=>[8,7,5,9,3,2,1,4,6]
[9,4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4,9]
[9,4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4,9]
[6,4,1,2,3,7,9,5,8]=>[8,5,9,7,3,2,1,4,6]
[6,4,1,2,3,7,8,9,5]=>[5,9,8,7,3,2,1,4,6]
[5,9,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,9,5]
[5,8,1,2,3,4,6,9,7]=>[7,9,6,4,3,2,1,8,5]
[5,7,1,2,3,4,9,6,8]=>[8,6,9,4,3,2,1,7,5]
[5,9,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,9,5]
[5,7,1,2,3,4,8,9,6]=>[6,9,8,4,3,2,1,7,5]
[9,6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6,9]
[8,6,1,2,3,4,5,9,7]=>[7,9,5,4,3,2,1,6,8]
[9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]
[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]
[8,7,1,2,3,4,5,9,6]=>[6,9,5,4,3,2,1,7,8]
[7,6,1,2,3,4,9,5,8]=>[8,5,9,4,3,2,1,6,7]
[9,6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6,9]
[9,7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7,9]
[7,6,1,2,3,4,8,9,5]=>[5,9,8,4,3,2,1,6,7]
[5,6,1,2,3,9,4,7,8]=>[8,7,4,9,3,2,1,6,5]
[5,6,1,2,3,8,4,9,7]=>[7,9,4,8,3,2,1,6,5]
[5,9,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,9,5]
[5,8,1,2,3,7,4,9,6]=>[6,9,4,7,3,2,1,8,5]
[9,6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6,9]
[9,6,1,2,3,8,4,5,7]=>[7,5,4,8,3,2,1,6,9]
[9,8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8,9]
[8,6,1,2,3,7,4,9,5]=>[5,9,4,7,3,2,1,6,8]
[5,6,1,2,3,7,9,4,8]=>[8,4,9,7,3,2,1,6,5]
[5,6,1,2,3,9,8,4,7]=>[7,4,8,9,3,2,1,6,5]
[5,9,1,2,3,7,8,4,6]=>[6,4,8,7,3,2,1,9,5]
[9,6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6,9]
[5,6,1,2,3,7,8,9,4]=>[4,9,8,7,3,2,1,6,5]
[5,4,1,2,9,3,6,7,8]=>[8,7,6,3,9,2,1,4,5]
[8,4,1,2,9,3,5,6,7]=>[7,6,5,3,9,2,1,4,8]
[9,4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4,9]
[7,4,1,2,6,3,8,9,5]=>[5,9,8,3,6,2,1,4,7]
[5,9,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,9,5]
[5,8,1,2,9,3,4,6,7]=>[7,6,4,3,9,2,1,8,5]
[5,8,1,2,7,3,4,9,6]=>[6,9,4,3,7,2,1,8,5]
[9,7,1,2,6,3,4,5,8]=>[8,5,4,3,6,2,1,7,9]
[9,8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8,9]
[9,8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8,9]
[9,7,1,2,6,3,8,4,5]=>[5,4,8,3,6,2,1,7,9]
[5,7,1,2,6,3,8,9,4]=>[4,9,8,3,6,2,1,7,5]
[5,4,1,2,6,9,3,7,8]=>[8,7,3,9,6,2,1,4,5]
[5,4,1,2,8,7,3,9,6]=>[6,9,3,7,8,2,1,4,5]
[9,4,1,2,6,7,3,5,8]=>[8,5,3,7,6,2,1,4,9]
[9,4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4,9]
[5,9,1,2,8,7,3,4,6]=>[6,4,3,7,8,2,1,9,5]
[9,8,1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1,8,9]
[5,8,1,2,6,7,3,9,4]=>[4,9,3,7,6,2,1,8,5]
[5,4,1,2,6,7,9,3,8]=>[8,3,9,7,6,2,1,4,5]
[5,4,1,2,6,9,8,3,7]=>[7,3,8,9,6,2,1,4,5]
[5,4,1,2,9,7,8,3,6]=>[6,3,8,7,9,2,1,4,5]
[5,9,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,9,5]
[5,4,1,2,6,7,8,9,3]=>[3,9,8,7,6,2,1,4,5]
[4,3,1,9,2,5,6,7,8]=>[8,7,6,5,2,9,1,3,4]
[4,3,1,6,2,8,5,9,7]=>[7,9,5,8,2,6,1,3,4]
[4,3,1,6,2,9,8,5,7]=>[7,5,8,9,2,6,1,3,4]
[4,3,1,6,2,7,8,9,5]=>[5,9,8,7,2,6,1,3,4]
[9,3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3,9]
[8,3,1,5,2,4,6,9,7]=>[7,9,6,4,2,5,1,3,8]
[7,3,1,5,2,4,9,6,8]=>[8,6,9,4,2,5,1,3,7]
[7,3,1,5,2,4,8,9,6]=>[6,9,8,4,2,5,1,3,7]
[9,3,1,8,2,4,5,6,7]=>[7,6,5,4,2,8,1,3,9]
[6,3,1,5,2,8,4,9,7]=>[7,9,4,8,2,5,1,3,6]
[9,3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3,9]
[9,3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3,9]
[8,3,1,5,2,7,4,9,6]=>[6,9,4,7,2,5,1,3,8]
[6,3,1,5,2,9,8,4,7]=>[7,4,8,9,2,5,1,3,6]
[9,3,1,5,2,7,8,4,6]=>[6,4,8,7,2,5,1,3,9]
[9,3,1,6,2,7,8,4,5]=>[5,4,8,7,2,6,1,3,9]
[6,3,1,5,2,7,8,9,4]=>[4,9,8,7,2,5,1,3,6]
[9,4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4,9]
[9,4,1,5,2,3,8,6,7]=>[7,6,8,3,2,5,1,4,9]
[9,4,1,8,2,3,5,6,7]=>[7,6,5,3,2,8,1,4,9]
[7,4,1,6,2,3,8,9,5]=>[5,9,8,3,2,6,1,4,7]
[6,9,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,9,6]
[9,8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8,9]
[9,7,1,6,2,3,4,5,8]=>[8,5,4,3,2,6,1,7,9]
[9,8,1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1,8,9]
[8,7,1,9,2,3,4,5,6]=>[6,5,4,3,2,9,1,7,8]
[8,7,1,6,2,3,4,9,5]=>[5,9,4,3,2,6,1,7,8]
[9,7,1,6,2,3,8,4,5]=>[5,4,8,3,2,6,1,7,9]
[6,7,1,5,2,3,8,9,4]=>[4,9,8,3,2,5,1,7,6]
[6,9,1,5,2,7,3,4,8]=>[8,4,3,7,2,5,1,9,6]
[9,8,1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1,8,9]
[6,9,1,5,2,7,8,3,4]=>[4,3,8,7,2,5,1,9,6]
[6,4,1,5,2,7,8,9,3]=>[3,9,8,7,2,5,1,4,6]
[4,3,1,5,9,2,6,7,8]=>[8,7,6,2,9,5,1,3,4]
[4,3,1,9,6,2,8,5,7]=>[7,5,8,2,6,9,1,3,4]
[4,3,1,7,6,2,8,9,5]=>[5,9,8,2,6,7,1,3,4]
[9,3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3,9]
[8,3,1,5,6,2,4,9,7]=>[7,9,4,2,6,5,1,3,8]
[9,3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3,9]
[8,3,1,9,7,2,4,5,6]=>[6,5,4,2,7,9,1,3,8]
[9,3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3,9]
[9,3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3,9]
[7,3,1,5,6,2,8,9,4]=>[4,9,8,2,6,5,1,3,7]
[9,4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4,9]
[9,4,1,7,6,2,3,5,8]=>[8,5,3,2,6,7,1,4,9]
[8,4,1,9,7,2,3,5,6]=>[6,5,3,2,7,9,1,4,8]
[7,9,1,5,6,2,3,4,8]=>[8,4,3,2,6,5,1,9,7]
[9,8,1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1,8,9]
[9,8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8,9]
[7,4,1,5,6,2,9,3,8]=>[8,3,9,2,6,5,1,4,7]
[9,4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4,9]
[7,9,1,5,6,2,8,3,4]=>[4,3,8,2,6,5,1,9,7]
[7,4,1,5,6,2,8,9,3]=>[3,9,8,2,6,5,1,4,7]
[4,3,1,5,6,9,2,7,8]=>[8,7,2,9,6,5,1,3,4]
[4,3,1,5,6,8,2,9,7]=>[7,9,2,8,6,5,1,3,4]
[4,3,1,5,9,8,2,6,7]=>[7,6,2,8,9,5,1,3,4]
[4,3,1,5,8,7,2,9,6]=>[6,9,2,7,8,5,1,3,4]
[4,3,1,9,6,7,2,5,8]=>[8,5,2,7,6,9,1,3,4]
[4,3,1,9,8,7,2,5,6]=>[6,5,2,7,8,9,1,3,4]
[8,3,1,5,6,7,2,9,4]=>[4,9,2,7,6,5,1,3,8]
[9,4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4,9]
[9,4,1,5,8,7,2,3,6]=>[6,3,2,7,8,5,1,4,9]
[9,4,1,8,6,7,2,3,5]=>[5,3,2,7,6,8,1,4,9]
[8,9,1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1,9,8]
[8,4,1,5,6,7,2,9,3]=>[3,9,2,7,6,5,1,4,8]
[4,3,1,5,6,7,9,2,8]=>[8,2,9,7,6,5,1,3,4]
[4,3,1,5,6,9,8,2,7]=>[7,2,8,9,6,5,1,3,4]
[4,3,1,5,9,7,8,2,6]=>[6,2,8,7,9,5,1,3,4]
[4,3,1,9,6,7,8,2,5]=>[5,2,8,7,6,9,1,3,4]
[9,3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3,9]
[9,4,1,5,6,7,8,2,3]=>[3,2,8,7,6,5,1,4,9]
[4,3,1,5,6,7,8,9,2]=>[2,9,8,7,6,5,1,3,4]
[2,3,9,1,4,5,6,7,8]=>[8,7,6,5,4,1,9,3,2]
[2,3,8,1,4,5,6,9,7]=>[7,9,6,5,4,1,8,3,2]
[2,3,9,1,4,5,8,6,7]=>[7,6,8,5,4,1,9,3,2]
[2,3,7,1,4,5,8,9,6]=>[6,9,8,5,4,1,7,3,2]
[2,3,9,1,4,8,5,6,7]=>[7,6,5,8,4,1,9,3,2]
[2,3,9,1,4,7,8,5,6]=>[6,5,8,7,4,1,9,3,2]
[2,3,6,1,4,7,8,9,5]=>[5,9,8,7,4,1,6,3,2]
[2,3,5,1,9,4,6,7,8]=>[8,7,6,4,9,1,5,3,2]
[2,3,5,1,7,4,9,6,8]=>[8,6,9,4,7,1,5,3,2]
[2,3,8,1,9,4,5,6,7]=>[7,6,5,4,9,1,8,3,2]
[2,3,7,1,6,4,9,5,8]=>[8,5,9,4,6,1,7,3,2]
[2,3,9,1,6,4,8,5,7]=>[7,5,8,4,6,1,9,3,2]
[2,3,7,1,6,4,8,9,5]=>[5,9,8,4,6,1,7,3,2]
[2,3,9,1,6,7,4,5,8]=>[8,5,4,7,6,1,9,3,2]
[2,3,9,1,8,7,4,5,6]=>[6,5,4,7,8,1,9,3,2]
[2,3,8,1,6,7,4,9,5]=>[5,9,4,7,6,1,8,3,2]
[2,3,5,1,6,7,9,4,8]=>[8,4,9,7,6,1,5,3,2]
[2,3,9,1,6,7,8,4,5]=>[5,4,8,7,6,1,9,3,2]
[2,3,5,1,6,7,8,9,4]=>[4,9,8,7,6,1,5,3,2]
[2,9,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,9,2]
[2,6,4,1,3,8,5,9,7]=>[7,9,5,8,3,1,4,6,2]
[2,8,4,1,3,7,5,9,6]=>[6,9,5,7,3,1,4,8,2]
[2,6,4,1,3,7,8,9,5]=>[5,9,8,7,3,1,4,6,2]
[2,9,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,9,2]
[2,6,9,1,3,4,5,7,8]=>[8,7,5,4,3,1,9,6,2]
[2,9,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,9,2]
[2,9,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,9,2]
[2,6,7,1,3,4,8,9,5]=>[5,9,8,4,3,1,7,6,2]
[2,5,4,1,9,3,6,7,8]=>[8,7,6,3,9,1,4,5,2]
[2,5,4,1,8,3,6,9,7]=>[7,9,6,3,8,1,4,5,2]
[2,5,4,1,7,3,9,6,8]=>[8,6,9,3,7,1,4,5,2]
[2,5,4,1,9,3,8,6,7]=>[7,6,8,3,9,1,4,5,2]
[2,9,4,1,6,3,5,7,8]=>[8,7,5,3,6,1,4,9,2]
[2,8,4,1,6,3,5,9,7]=>[7,9,5,3,6,1,4,8,2]
[2,8,4,1,9,3,5,6,7]=>[7,6,5,3,9,1,4,8,2]
[2,7,4,1,6,3,9,5,8]=>[8,5,9,3,6,1,4,7,2]
[2,9,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,9,2]
[2,9,4,1,7,3,8,5,6]=>[6,5,8,3,7,1,4,9,2]
[2,7,4,1,6,3,8,9,5]=>[5,9,8,3,6,1,4,7,2]
[2,8,5,1,7,3,4,9,6]=>[6,9,4,3,7,1,5,8,2]
[2,9,8,1,7,3,4,5,6]=>[6,5,4,3,7,1,8,9,2]
[2,9,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,9,2]
[2,9,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,9,2]
[2,7,5,1,6,3,8,9,4]=>[4,9,8,3,6,1,5,7,2]
[2,8,5,1,6,7,3,9,4]=>[4,9,3,7,6,1,5,8,2]
[2,5,4,1,6,9,8,3,7]=>[7,3,8,9,6,1,4,5,2]
[2,9,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,9,2]
[2,5,4,1,6,7,8,9,3]=>[3,9,8,7,6,1,4,5,2]
[9,3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3,9]
[9,3,4,1,2,5,8,6,7]=>[7,6,8,5,2,1,4,3,9]
[7,3,4,1,2,5,8,9,6]=>[6,9,8,5,2,1,4,3,7]
[6,3,4,1,2,8,5,9,7]=>[7,9,5,8,2,1,4,3,6]
[9,3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3,9]
[6,3,4,1,2,7,8,9,5]=>[5,9,8,7,2,1,4,3,6]
[9,3,5,1,2,4,8,6,7]=>[7,6,8,4,2,1,5,3,9]
[9,3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3,9]
[9,3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3,9]
[6,3,9,1,2,7,4,5,8]=>[8,5,4,7,2,1,9,3,6]
[9,3,8,1,2,7,4,5,6]=>[6,5,4,7,2,1,8,3,9]
[6,3,5,1,2,7,8,9,4]=>[4,9,8,7,2,1,5,3,6]
[9,5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5,9]
[8,5,4,1,2,3,6,9,7]=>[7,9,6,3,2,1,4,5,8]
[7,5,4,1,2,3,8,9,6]=>[6,9,8,3,2,1,4,5,7]
[6,9,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,9,6]
[6,8,4,1,2,3,5,9,7]=>[7,9,5,3,2,1,4,8,6]
[9,7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7,9]
[9,8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8,9]
[6,9,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,9,6]
[6,8,5,1,2,3,4,9,7]=>[7,9,4,3,2,1,5,8,6]
[9,7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7,9]
[9,8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8,9]
[8,7,5,1,2,3,4,9,6]=>[6,9,4,3,2,1,5,7,8]
[6,7,9,1,2,3,4,5,8]=>[8,5,4,3,2,1,9,7,6]
[6,9,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,9,6]
[9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]
[6,7,8,1,2,3,4,9,5]=>[5,9,4,3,2,1,8,7,6]
[6,7,5,1,2,3,9,4,8]=>[8,4,9,3,2,1,5,7,6]
[6,9,5,1,2,3,8,4,7]=>[7,4,8,3,2,1,5,9,6]
[9,7,5,1,2,3,8,4,6]=>[6,4,8,3,2,1,5,7,9]
[6,7,9,1,2,3,8,4,5]=>[5,4,8,3,2,1,9,7,6]
[6,7,5,1,2,3,8,9,4]=>[4,9,8,3,2,1,5,7,6]
[6,5,4,1,2,8,3,9,7]=>[7,9,3,8,2,1,4,5,6]
[9,5,4,1,2,8,3,6,7]=>[7,6,3,8,2,1,4,5,9]
[9,8,4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4,8,9]
[6,8,4,1,2,7,3,9,5]=>[5,9,3,7,2,1,4,8,6]
[6,9,5,1,2,7,3,4,8]=>[8,4,3,7,2,1,5,9,6]
[6,9,5,1,2,8,3,4,7]=>[7,4,3,8,2,1,5,9,6]
[9,8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8,9]
[6,8,9,1,2,7,3,4,5]=>[5,4,3,7,2,1,9,8,6]
[6,8,5,1,2,7,3,9,4]=>[4,9,3,7,2,1,5,8,6]
[6,5,4,1,2,7,9,3,8]=>[8,3,9,7,2,1,4,5,6]
[6,5,4,1,2,9,8,3,7]=>[7,3,8,9,2,1,4,5,6]
[9,5,4,1,2,7,8,3,6]=>[6,3,8,7,2,1,4,5,9]
[6,9,4,1,2,7,8,3,5]=>[5,3,8,7,2,1,4,9,6]
[6,9,5,1,2,7,8,3,4]=>[4,3,8,7,2,1,5,9,6]
[6,5,4,1,2,7,8,9,3]=>[3,9,8,7,2,1,4,5,6]
[8,3,4,1,6,2,5,9,7]=>[7,9,5,2,6,1,4,3,8]
[8,3,4,1,9,2,5,6,7]=>[7,6,5,2,9,1,4,3,8]
[9,3,4,1,6,2,8,5,7]=>[7,5,8,2,6,1,4,3,9]
[8,3,5,1,6,2,4,9,7]=>[7,9,4,2,6,1,5,3,8]
[8,3,5,1,9,2,4,6,7]=>[7,6,4,2,9,1,5,3,8]
[9,3,8,1,7,2,4,5,6]=>[6,5,4,2,7,1,8,3,9]
[7,3,8,1,6,2,4,9,5]=>[5,9,4,2,6,1,8,3,7]
[9,3,5,1,6,2,8,4,7]=>[7,4,8,2,6,1,5,3,9]
[9,3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3,9]
[7,3,9,1,6,2,8,4,5]=>[5,4,8,2,6,1,9,3,7]
[7,3,5,1,6,2,8,9,4]=>[4,9,8,2,6,1,5,3,7]
[9,5,4,1,7,2,3,6,8]=>[8,6,3,2,7,1,4,5,9]
[8,5,4,1,9,2,3,6,7]=>[7,6,3,2,9,1,4,5,8]
[9,8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8,9]
[7,8,4,1,6,2,3,9,5]=>[5,9,3,2,6,1,4,8,7]
[9,8,5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5,8,9]
[9,8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8,9]
[7,8,9,1,6,2,3,4,5]=>[5,4,3,2,6,1,9,8,7]
[7,8,5,1,6,2,3,9,4]=>[4,9,3,2,6,1,5,8,7]
[9,5,4,1,7,2,8,3,6]=>[6,3,8,2,7,1,4,5,9]
[7,9,4,1,6,2,8,3,5]=>[5,3,8,2,6,1,4,9,7]
[7,9,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,9,7]
[7,5,4,1,6,2,8,9,3]=>[3,9,8,2,6,1,4,5,7]
[5,3,4,1,6,8,2,9,7]=>[7,9,2,8,6,1,4,3,5]
[5,3,4,1,9,8,2,6,7]=>[7,6,2,8,9,1,4,3,5]
[9,3,4,1,8,7,2,5,6]=>[6,5,2,7,8,1,4,3,9]
[8,3,4,1,6,7,2,9,5]=>[5,9,2,7,6,1,4,3,8]
[9,3,5,1,6,8,2,4,7]=>[7,4,2,8,6,1,5,3,9]
[9,3,5,1,8,7,2,4,6]=>[6,4,2,7,8,1,5,3,9]
[8,3,9,1,6,7,2,4,5]=>[5,4,2,7,6,1,9,3,8]
[8,3,5,1,6,7,2,9,4]=>[4,9,2,7,6,1,5,3,8]
[9,5,4,1,6,8,2,3,7]=>[7,3,2,8,6,1,4,5,9]
[9,5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5,9]
[8,9,4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4,9,8]
[8,9,5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5,9,8]
[8,5,4,1,6,7,2,9,3]=>[3,9,2,7,6,1,4,5,8]
[5,3,4,1,6,7,9,2,8]=>[8,2,9,7,6,1,4,3,5]
[5,3,4,1,6,9,8,2,7]=>[7,2,8,9,6,1,4,3,5]
[5,3,4,1,9,7,8,2,6]=>[6,2,8,7,9,1,4,3,5]
[9,3,4,1,6,7,8,2,5]=>[5,2,8,7,6,1,4,3,9]
[9,3,5,1,6,7,8,2,4]=>[4,2,8,7,6,1,5,3,9]
[9,5,4,1,6,7,8,2,3]=>[3,2,8,7,6,1,4,5,9]
[5,3,4,1,6,7,8,9,2]=>[2,9,8,7,6,1,4,3,5]
[2,3,4,9,1,5,6,7,8]=>[8,7,6,5,1,9,4,3,2]
[2,3,4,8,1,5,6,9,7]=>[7,9,6,5,1,8,4,3,2]
[2,3,4,7,1,5,9,6,8]=>[8,6,9,5,1,7,4,3,2]
[2,3,4,9,1,5,8,6,7]=>[7,6,8,5,1,9,4,3,2]
[2,3,4,7,1,5,8,9,6]=>[6,9,8,5,1,7,4,3,2]
[2,3,4,6,1,9,5,7,8]=>[8,7,5,9,1,6,4,3,2]
[2,3,4,6,1,8,5,9,7]=>[7,9,5,8,1,6,4,3,2]
[2,3,4,9,1,7,5,6,8]=>[8,6,5,7,1,9,4,3,2]
[2,3,4,9,1,8,5,6,7]=>[7,6,5,8,1,9,4,3,2]
[2,3,4,8,1,7,5,9,6]=>[6,9,5,7,1,8,4,3,2]
[2,3,4,6,1,7,9,5,8]=>[8,5,9,7,1,6,4,3,2]
[2,3,4,6,1,9,8,5,7]=>[7,5,8,9,1,6,4,3,2]
[2,3,4,9,1,7,8,5,6]=>[6,5,8,7,1,9,4,3,2]
[2,3,4,6,1,7,8,9,5]=>[5,9,8,7,1,6,4,3,2]
[2,3,9,5,1,4,6,7,8]=>[8,7,6,4,1,5,9,3,2]
[2,3,9,6,1,4,5,7,8]=>[8,7,5,4,1,6,9,3,2]
[2,3,8,6,1,4,5,9,7]=>[7,9,5,4,1,6,8,3,2]
[2,3,7,9,1,4,5,6,8]=>[8,6,5,4,1,9,7,3,2]
[2,3,9,8,1,4,5,6,7]=>[7,6,5,4,1,8,9,3,2]
[2,3,7,6,1,4,8,9,5]=>[5,9,8,4,1,6,7,3,2]
[2,3,9,5,1,7,4,6,8]=>[8,6,4,7,1,5,9,3,2]
[2,3,9,6,1,7,8,4,5]=>[5,4,8,7,1,6,9,3,2]
[2,3,6,5,1,7,8,9,4]=>[4,9,8,7,1,5,6,3,2]
[2,9,4,5,1,3,6,7,8]=>[8,7,6,3,1,5,4,9,2]
[2,9,4,5,1,3,8,6,7]=>[7,6,8,3,1,5,4,9,2]
[2,7,4,5,1,3,8,9,6]=>[6,9,8,3,1,5,4,7,2]
[2,9,4,8,1,3,5,6,7]=>[7,6,5,3,1,8,4,9,2]
[2,9,6,5,1,3,4,7,8]=>[8,7,4,3,1,5,6,9,2]
[2,9,8,6,1,3,4,5,7]=>[7,5,4,3,1,6,8,9,2]
[2,7,8,9,1,3,4,5,6]=>[6,5,4,3,1,9,8,7,2]
[2,7,8,6,1,3,4,9,5]=>[5,9,4,3,1,6,8,7,2]
[2,7,9,5,1,3,8,4,6]=>[6,4,8,3,1,5,9,7,2]
[2,7,9,6,1,3,8,4,5]=>[5,4,8,3,1,6,9,7,2]
[2,7,6,5,1,3,8,9,4]=>[4,9,8,3,1,5,6,7,2]
[2,8,4,9,1,7,3,5,6]=>[6,5,3,7,1,9,4,8,2]
[2,8,4,6,1,7,3,9,5]=>[5,9,3,7,1,6,4,8,2]
[2,8,9,5,1,7,3,4,6]=>[6,4,3,7,1,5,9,8,2]
[2,8,9,6,1,7,3,4,5]=>[5,4,3,7,1,6,9,8,2]
[2,8,6,5,1,7,3,9,4]=>[4,9,3,7,1,5,6,8,2]
[2,9,4,5,1,7,8,3,6]=>[6,3,8,7,1,5,4,9,2]
[2,9,4,6,1,7,8,3,5]=>[5,3,8,7,1,6,4,9,2]
[2,9,6,5,1,7,8,3,4]=>[4,3,8,7,1,5,6,9,2]
[2,6,4,5,1,7,8,9,3]=>[3,9,8,7,1,5,4,6,2]
[9,3,4,5,1,2,6,7,8]=>[8,7,6,2,1,5,4,3,9]
[8,3,4,5,1,2,6,9,7]=>[7,9,6,2,1,5,4,3,8]
[9,3,4,5,1,2,8,6,7]=>[7,6,8,2,1,5,4,3,9]
[7,3,4,5,1,2,8,9,6]=>[6,9,8,2,1,5,4,3,7]
[9,3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3,9]
[7,3,4,8,1,2,5,9,6]=>[6,9,5,2,1,8,4,3,7]
[9,3,4,6,1,2,8,5,7]=>[7,5,8,2,1,6,4,3,9]
[7,3,4,6,1,2,8,9,5]=>[5,9,8,2,1,6,4,3,7]
[9,3,6,5,1,2,4,7,8]=>[8,7,4,2,1,5,6,3,9]
[7,3,9,5,1,2,4,6,8]=>[8,6,4,2,1,5,9,3,7]
[9,3,8,5,1,2,4,6,7]=>[7,6,4,2,1,5,8,3,9]
[7,3,9,6,1,2,4,5,8]=>[8,5,4,2,1,6,9,3,7]
[7,3,8,9,1,2,4,5,6]=>[6,5,4,2,1,9,8,3,7]
[7,3,8,6,1,2,4,9,5]=>[5,9,4,2,1,6,8,3,7]
[7,3,9,5,1,2,8,4,6]=>[6,4,8,2,1,5,9,3,7]
[7,3,9,6,1,2,8,4,5]=>[5,4,8,2,1,6,9,3,7]
[7,3,6,5,1,2,8,9,4]=>[4,9,8,2,1,5,6,3,7]
[9,6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6,9]
[8,6,4,5,1,2,3,9,7]=>[7,9,3,2,1,5,4,6,8]
[9,8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8,9]
[9,8,4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4,8,9]
[7,8,4,9,1,2,3,5,6]=>[6,5,3,2,1,9,4,8,7]
[7,8,4,6,1,2,3,9,5]=>[5,9,3,2,1,6,4,8,7]
[7,9,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,9,7]
[9,8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8,9]
[7,8,9,5,1,2,3,4,6]=>[6,4,3,2,1,5,9,8,7]
[7,8,9,6,1,2,3,4,5]=>[5,4,3,2,1,6,9,8,7]
[7,8,6,5,1,2,3,9,4]=>[4,9,3,2,1,5,6,8,7]
[7,6,4,5,1,2,9,3,8]=>[8,3,9,2,1,5,4,6,7]
[7,9,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,9,7]
[7,9,4,6,1,2,8,3,5]=>[5,3,8,2,1,6,4,9,7]
[7,9,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,9,7]
[7,6,4,5,1,2,8,9,3]=>[3,9,8,2,1,5,4,6,7]
[6,3,4,5,1,9,2,7,8]=>[8,7,2,9,1,5,4,3,6]
[6,3,4,5,1,8,2,9,7]=>[7,9,2,8,1,5,4,3,6]
[9,3,4,6,1,7,2,5,8]=>[8,5,2,7,1,6,4,3,9]
[8,3,4,9,1,7,2,5,6]=>[6,5,2,7,1,9,4,3,8]
[8,3,4,6,1,7,2,9,5]=>[5,9,2,7,1,6,4,3,8]
[8,3,9,5,1,7,2,4,6]=>[6,4,2,7,1,5,9,3,8]
[8,3,9,6,1,7,2,4,5]=>[5,4,2,7,1,6,9,3,8]
[8,3,6,5,1,7,2,9,4]=>[4,9,2,7,1,5,6,3,8]
[9,6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6,9]
[9,6,4,5,1,8,2,3,7]=>[7,3,2,8,1,5,4,6,9]
[8,9,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,9,8]
[8,9,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,9,8]
[8,9,6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6,9,8]
[8,6,4,5,1,7,2,9,3]=>[3,9,2,7,1,5,4,6,8]
[6,3,4,5,1,7,9,2,8]=>[8,2,9,7,1,5,4,3,6]
[6,3,4,5,1,9,8,2,7]=>[7,2,8,9,1,5,4,3,6]
[9,3,4,5,1,7,8,2,6]=>[6,2,8,7,1,5,4,3,9]
[9,3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3,9]
[9,3,6,5,1,7,8,2,4]=>[4,2,8,7,1,5,6,3,9]
[9,6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6,9]
[6,3,4,5,1,7,8,9,2]=>[2,9,8,7,1,5,4,3,6]
[2,3,4,5,9,1,6,7,8]=>[8,7,6,1,9,5,4,3,2]
[2,3,4,5,8,1,6,9,7]=>[7,9,6,1,8,5,4,3,2]
[2,3,4,5,7,1,9,6,8]=>[8,6,9,1,7,5,4,3,2]
[2,3,4,5,9,1,8,6,7]=>[7,6,8,1,9,5,4,3,2]
[2,3,4,5,7,1,8,9,6]=>[6,9,8,1,7,5,4,3,2]
[2,3,4,9,6,1,5,7,8]=>[8,7,5,1,6,9,4,3,2]
[2,3,4,8,6,1,5,9,7]=>[7,9,5,1,6,8,4,3,2]
[2,3,4,9,7,1,5,6,8]=>[8,6,5,1,7,9,4,3,2]
[2,3,4,8,9,1,5,6,7]=>[7,6,5,1,9,8,4,3,2]
[2,3,4,9,6,1,8,5,7]=>[7,5,8,1,6,9,4,3,2]
[2,3,4,9,7,1,8,5,6]=>[6,5,8,1,7,9,4,3,2]
[2,3,4,7,6,1,8,9,5]=>[5,9,8,1,6,7,4,3,2]
[2,3,9,5,6,1,4,7,8]=>[8,7,4,1,6,5,9,3,2]
[2,3,8,5,6,1,4,9,7]=>[7,9,4,1,6,5,8,3,2]
[2,3,9,5,7,1,4,6,8]=>[8,6,4,1,7,5,9,3,2]
[2,3,8,5,9,1,4,6,7]=>[7,6,4,1,9,5,8,3,2]
[2,3,8,5,7,1,4,9,6]=>[6,9,4,1,7,5,8,3,2]
[2,3,9,7,6,1,4,5,8]=>[8,5,4,1,6,7,9,3,2]
[2,3,8,9,6,1,4,5,7]=>[7,5,4,1,6,9,8,3,2]
[2,3,8,9,7,1,4,5,6]=>[6,5,4,1,7,9,8,3,2]
[2,3,8,7,6,1,4,9,5]=>[5,9,4,1,6,7,8,3,2]
[2,3,7,5,6,1,9,4,8]=>[8,4,9,1,6,5,7,3,2]
[2,3,9,5,6,1,8,4,7]=>[7,4,8,1,6,5,9,3,2]
[2,3,9,5,7,1,8,4,6]=>[6,4,8,1,7,5,9,3,2]
[2,3,9,7,6,1,8,4,5]=>[5,4,8,1,6,7,9,3,2]
[2,3,7,5,6,1,8,9,4]=>[4,9,8,1,6,5,7,3,2]
[2,8,4,5,6,1,3,9,7]=>[7,9,3,1,6,5,4,8,2]
[2,8,4,5,9,1,3,6,7]=>[7,6,3,1,9,5,4,8,2]
[2,8,4,9,7,1,3,5,6]=>[6,5,3,1,7,9,4,8,2]
[2,8,4,7,6,1,3,9,5]=>[5,9,3,1,6,7,4,8,2]
[2,8,9,5,7,1,3,4,6]=>[6,4,3,1,7,5,9,8,2]
[2,8,9,7,6,1,3,4,5]=>[5,4,3,1,6,7,9,8,2]
[2,8,7,5,6,1,3,9,4]=>[4,9,3,1,6,5,7,8,2]
[2,7,4,5,6,1,9,3,8]=>[8,3,9,1,6,5,4,7,2]
[2,9,4,5,6,1,8,3,7]=>[7,3,8,1,6,5,4,9,2]
[2,9,4,5,7,1,8,3,6]=>[6,3,8,1,7,5,4,9,2]
[2,9,4,7,6,1,8,3,5]=>[5,3,8,1,6,7,4,9,2]
[2,9,7,5,6,1,8,3,4]=>[4,3,8,1,6,5,7,9,2]
[2,7,4,5,6,1,8,9,3]=>[3,9,8,1,6,5,4,7,2]
[9,3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3,9]
[8,3,4,5,6,1,2,9,7]=>[7,9,2,1,6,5,4,3,8]
[8,3,4,5,9,1,2,6,7]=>[7,6,2,1,9,5,4,3,8]
[8,3,4,5,7,1,2,9,6]=>[6,9,2,1,7,5,4,3,8]
[8,3,4,9,6,1,2,5,7]=>[7,5,2,1,6,9,4,3,8]
[8,3,4,9,7,1,2,5,6]=>[6,5,2,1,7,9,4,3,8]
[8,3,4,7,6,1,2,9,5]=>[5,9,2,1,6,7,4,3,8]
[8,3,9,5,6,1,2,4,7]=>[7,4,2,1,6,5,9,3,8]
[8,3,9,5,7,1,2,4,6]=>[6,4,2,1,7,5,9,3,8]
[8,3,9,7,6,1,2,4,5]=>[5,4,2,1,6,7,9,3,8]
[8,3,7,5,6,1,2,9,4]=>[4,9,2,1,6,5,7,3,8]
[9,7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7,9]
[8,9,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,9,8]
[8,9,4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4,9,8]
[8,9,4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4,9,8]
[8,9,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,9,8]
[8,7,4,5,6,1,2,9,3]=>[3,9,2,1,6,5,4,7,8]
[7,3,4,5,6,1,9,2,8]=>[8,2,9,1,6,5,4,3,7]
[9,3,4,5,6,1,8,2,7]=>[7,2,8,1,6,5,4,3,9]
[9,3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3,9]
[9,3,4,7,6,1,8,2,5]=>[5,2,8,1,6,7,4,3,9]
[9,3,7,5,6,1,8,2,4]=>[4,2,8,1,6,5,7,3,9]
[9,7,4,5,6,1,8,2,3]=>[3,2,8,1,6,5,4,7,9]
[7,3,4,5,6,1,8,9,2]=>[2,9,8,1,6,5,4,3,7]
[2,3,4,5,6,9,1,7,8]=>[8,7,1,9,6,5,4,3,2]
[2,3,4,5,6,8,1,9,7]=>[7,9,1,8,6,5,4,3,2]
[2,3,4,5,9,7,1,6,8]=>[8,6,1,7,9,5,4,3,2]
[2,3,4,5,9,8,1,6,7]=>[7,6,1,8,9,5,4,3,2]
[2,3,4,5,8,7,1,9,6]=>[6,9,1,7,8,5,4,3,2]
[2,3,4,9,6,7,1,5,8]=>[8,5,1,7,6,9,4,3,2]
[2,3,4,9,6,8,1,5,7]=>[7,5,1,8,6,9,4,3,2]
[2,3,4,9,8,7,1,5,6]=>[6,5,1,7,8,9,4,3,2]
[2,3,4,8,6,7,1,9,5]=>[5,9,1,7,6,8,4,3,2]
[2,3,9,5,6,7,1,4,8]=>[8,4,1,7,6,5,9,3,2]
[2,3,9,5,6,8,1,4,7]=>[7,4,1,8,6,5,9,3,2]
[2,3,9,5,8,7,1,4,6]=>[6,4,1,7,8,5,9,3,2]
[2,3,9,8,6,7,1,4,5]=>[5,4,1,7,6,8,9,3,2]
[2,3,8,5,6,7,1,9,4]=>[4,9,1,7,6,5,8,3,2]
[2,9,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,9,2]
[2,9,4,5,6,8,1,3,7]=>[7,3,1,8,6,5,4,9,2]
[2,9,4,5,8,7,1,3,6]=>[6,3,1,7,8,5,4,9,2]
[2,9,4,8,6,7,1,3,5]=>[5,3,1,7,6,8,4,9,2]
[2,9,8,5,6,7,1,3,4]=>[4,3,1,7,6,5,8,9,2]
[2,8,4,5,6,7,1,9,3]=>[3,9,1,7,6,5,4,8,2]
[9,3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3,9]
[9,3,4,5,6,8,1,2,7]=>[7,2,1,8,6,5,4,3,9]
[9,3,4,5,8,7,1,2,6]=>[6,2,1,7,8,5,4,3,9]
[9,3,4,8,6,7,1,2,5]=>[5,2,1,7,6,8,4,3,9]
[9,3,8,5,6,7,1,2,4]=>[4,2,1,7,6,5,8,3,9]
[9,8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8,9]
[8,3,4,5,6,7,1,9,2]=>[2,9,1,7,6,5,4,3,8]
[2,3,4,5,6,7,9,1,8]=>[8,1,9,7,6,5,4,3,2]
[2,3,4,5,6,9,8,1,7]=>[7,1,8,9,6,5,4,3,2]
[2,3,4,5,9,7,8,1,6]=>[6,1,8,7,9,5,4,3,2]
[2,3,4,9,6,7,8,1,5]=>[5,1,8,7,6,9,4,3,2]
[2,3,9,5,6,7,8,1,4]=>[4,1,8,7,6,5,9,3,2]
[2,9,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,9,2]
[9,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,9]
[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]
[2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2]
[2,3,4,5,6,8,9,1,7]=>[7,1,9,8,6,5,4,3,2]
[2,3,4,5,7,8,9,1,6]=>[6,1,9,8,7,5,4,3,2]
[2,3,4,6,7,8,9,1,5]=>[5,1,9,8,7,6,4,3,2]
[2,3,5,6,7,8,9,1,4]=>[4,1,9,8,7,6,5,3,2]
[2,4,5,6,7,8,9,1,3]=>[3,1,9,8,7,6,5,4,2]
[3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3]
[2,3,4,5,6,7,1,8,9]=>[9,8,1,7,6,5,4,3,2]
[2,3,4,5,6,1,9,7,8]=>[8,7,9,1,6,5,4,3,2]
[2,3,4,5,1,8,9,6,7]=>[7,6,9,8,1,5,4,3,2]
[2,3,4,1,7,8,9,5,6]=>[6,5,9,8,7,1,4,3,2]
[2,3,1,6,7,8,9,4,5]=>[5,4,9,8,7,6,1,3,2]
[2,1,5,6,7,8,9,3,4]=>[4,3,9,8,7,6,5,1,2]
[1,4,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,4,1]
[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]
[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]
[1,8,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,8,1]
[7,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,7]
[2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2]
[2,8,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,8,2]
[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]
[1,2,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,2,1]
[1,2,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,2,1]
[1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1]
[1,2,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,2,1]
[1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1]
[1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]
[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]
[1,2,3,4,5,8,7,9,6]=>[6,9,7,8,5,4,3,2,1]
[1,2,3,4,7,6,8,9,5]=>[5,9,8,6,7,4,3,2,1]
[1,2,3,6,5,7,8,9,4]=>[4,9,8,7,5,6,3,2,1]
[1,2,5,4,6,7,8,9,3]=>[3,9,8,7,6,4,5,2,1]
[1,4,3,5,6,7,8,9,2]=>[2,9,8,7,6,5,3,4,1]
[3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]
[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]
[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8]
[8,7,6,5,4,9,3,2,1]=>[1,2,3,9,4,5,6,7,8]
[8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8]
[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]
[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]
[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,9,7,6,8]
[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,9,6,5,7,8]
[8,7,6,4,5,9,3,2,1]=>[1,2,3,9,5,4,6,7,8]
[8,7,6,5,3,4,9,2,1]=>[1,2,9,4,3,5,6,7,8]
[8,7,6,5,4,2,3,9,1]=>[1,9,3,2,4,5,6,7,8]
[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]
[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]
[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]
[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]
[8,7,5,4,6,3,2,1,9]=>[9,1,2,3,6,4,5,7,8]
[8,7,4,6,5,3,2,1,9]=>[9,1,2,3,5,6,4,7,8]
[1,9,8,6,5,7,4,3,2]=>[2,3,4,7,5,6,8,9,1]
[1,9,8,5,7,6,4,3,2]=>[2,3,4,6,7,5,8,9,1]
[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]
[9,2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2,9]
[4,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,4]
[3,4,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,4,3]
[1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1]
[1,2,3,4,5,8,6,9,7]=>[7,9,6,8,5,4,3,2,1]
[1,2,3,4,7,5,8,9,6]=>[6,9,8,5,7,4,3,2,1]
[1,2,3,6,4,7,8,9,5]=>[5,9,8,7,4,6,3,2,1]
[1,2,5,3,6,7,8,9,4]=>[4,9,8,7,6,3,5,2,1]
[1,4,2,5,6,7,8,9,3]=>[3,9,8,7,6,5,2,4,1]
[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]
[7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]
[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]
[6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6]
[9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9]
[8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8]
[9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9]
[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]
[9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9]
[8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8]
[9,8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8,9]
[9,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,9]
[9,8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8,9]
[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]
[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]
[9,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,9]
[9,8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8,9]
[8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8]
[9,8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8,9]
[9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9]
[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]
[9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]
[9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9]
[9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]
[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]
[7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7]
[1,8,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,8,1]
[7,6,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,6,7]
[6,8,7,5,4,3,2,1,9]=>[9,1,2,3,4,5,7,8,6]
[1,8,7,9,6,5,4,3,2]=>[2,3,4,5,6,9,7,8,1]
[1,7,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,7,1]
[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]
[1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]
[7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7]
[1,8,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,8,1]
[7,1,8,2,3,4,5,6,9]=>[9,6,5,4,3,2,8,1,7]
[6,8,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,8,6]
[1,8,2,9,3,4,5,6,7]=>[7,6,5,4,3,9,2,8,1]
[1,7,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,7,1]
[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]
[2,4,1,3,6,5,8,7,9]=>[9,7,8,5,6,3,1,4,2]
[2,4,1,6,3,5,8,7,9]=>[9,7,8,5,3,6,1,4,2]
[2,4,1,6,3,8,5,7,9]=>[9,7,5,8,3,6,1,4,2]
[2,4,1,6,3,7,5,9,8]=>[8,9,5,7,3,6,1,4,2]
[2,4,1,5,3,7,6,9,8]=>[8,9,6,7,3,5,1,4,2]
[2,3,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,3,2]
[1,3,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,3,1]
[2,4,6,1,3,5,8,7,9]=>[9,7,8,5,3,1,6,4,2]
[2,4,1,6,8,3,5,7,9]=>[9,7,5,3,8,6,1,4,2]
[2,4,1,6,3,8,9,5,7]=>[7,5,9,8,3,6,1,4,2]
[2,4,1,6,3,7,5,8,9]=>[9,8,5,7,3,6,1,4,2]
[2,4,1,5,3,8,6,9,7]=>[7,9,6,8,3,5,1,4,2]
[2,3,1,6,4,7,5,9,8]=>[8,9,5,7,4,6,1,3,2]
[1,4,2,5,3,7,6,9,8]=>[8,9,6,7,3,5,2,4,1]
[7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7]
[3,4,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,4,3]
[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]
[4,5,6,1,2,3,7,8,9]=>[9,8,7,3,2,1,6,5,4]
[4,2,5,1,3,6,7,8,9]=>[9,8,7,6,3,1,5,2,4]
[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]
[5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5]
[5,2,6,7,1,3,4,8,9]=>[9,8,4,3,1,7,6,2,5]
[5,6,3,4,1,2,7,8,9]=>[9,8,7,2,1,4,3,6,5]
[5,3,2,6,1,4,7,8,9]=>[9,8,7,4,1,6,2,3,5]
[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]
[6,2,7,8,9,1,3,4,5]=>[5,4,3,1,9,8,7,2,6]
[6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6]
[6,3,2,7,8,1,4,5,9]=>[9,5,4,1,8,7,2,3,6]
[6,4,7,2,5,1,3,8,9]=>[9,8,3,1,5,2,7,4,6]
[6,4,3,2,7,1,5,8,9]=>[9,8,5,1,7,2,3,4,6]
[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]
[7,4,8,2,5,9,1,3,6]=>[6,3,1,9,5,2,8,4,7]
[7,4,3,2,8,9,1,5,6]=>[6,5,1,9,8,2,3,4,7]
[7,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,7]
[7,5,3,8,2,6,1,4,9]=>[9,4,1,6,2,8,3,5,7]
[7,5,4,3,2,8,1,6,9]=>[9,6,1,8,2,3,4,5,7]
[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]
[8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8]
[8,6,4,3,9,2,7,1,5]=>[5,1,7,2,9,3,4,6,8]
[8,6,5,4,3,2,9,1,7]=>[7,1,9,2,3,4,5,6,8]
[2,3,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,3,2]
[2,3,4,1,5,6,7,8,9]=>[9,8,7,6,5,1,4,3,2]
[2,3,4,5,1,6,7,8,9]=>[9,8,7,6,1,5,4,3,2]
[2,3,4,5,6,1,7,8,9]=>[9,8,7,1,6,5,4,3,2]
[2,4,3,1,5,6,7,8,9]=>[9,8,7,6,5,1,3,4,2]
[2,3,5,4,1,6,7,8,9]=>[9,8,7,6,1,4,5,3,2]
[2,3,4,6,5,1,7,8,9]=>[9,8,7,1,5,6,4,3,2]
[2,3,4,5,7,6,1,8,9]=>[9,8,1,6,7,5,4,3,2]
[2,3,4,5,6,8,7,1,9]=>[9,1,7,8,6,5,4,3,2]
[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]
[3,4,1,5,6,7,8,9,2]=>[2,9,8,7,6,5,1,4,3]
[3,4,5,1,6,7,8,9,2]=>[2,9,8,7,6,1,5,4,3]
[3,4,5,6,1,7,8,9,2]=>[2,9,8,7,1,6,5,4,3]
[3,4,5,6,7,1,8,9,2]=>[2,9,8,1,7,6,5,4,3]
[3,4,5,6,7,8,1,9,2]=>[2,9,1,8,7,6,5,4,3]
[3,1,2,5,6,7,8,9,4]=>[4,9,8,7,6,5,2,1,3]
[3,4,1,2,6,7,8,9,5]=>[5,9,8,7,6,2,1,4,3]
[3,4,5,1,2,7,8,9,6]=>[6,9,8,7,2,1,5,4,3]
[3,4,5,6,1,2,8,9,7]=>[7,9,8,2,1,6,5,4,3]
[3,4,5,6,7,1,2,9,8]=>[8,9,2,1,7,6,5,4,3]
[3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3]
[8,7,6,5,4,3,1,9,2]=>[2,9,1,3,4,5,6,7,8]
[7,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]
[1,7,6,5,4,3,9,8,2]=>[2,8,9,3,4,5,6,7,1]
[7,9,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,9,7]
[8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8]
[8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]
[9,7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7,9]
[7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7]
[6,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,6]
[5,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,5]
[4,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,4]
[3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3]
[2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2]
[6,9,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,9,6]
[5,9,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,9,5]
[4,9,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,9,4]
[3,9,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,9,3]
[2,9,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,9,2]
[1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]
[1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1]
[1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1]
[1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1]
[1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1]
[1,2,3,4,5,9,7,6,8]=>[8,6,7,9,5,4,3,2,1]
[1,2,3,4,9,6,5,7,8]=>[8,7,5,6,9,4,3,2,1]
[1,2,3,9,5,4,6,7,8]=>[8,7,6,4,5,9,3,2,1]
[1,2,9,4,3,5,6,7,8]=>[8,7,6,5,3,4,9,2,1]
[1,9,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,9,1]
[7,6,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,6,7]
[6,5,4,9,8,7,3,2,1]=>[1,2,3,7,8,9,4,5,6]
[6,7,8,9,5,4,3,2,1]=>[1,2,3,4,5,9,8,7,6]
[5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5]
[5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]
[4,6,7,8,3,9,5,2,1]=>[1,2,5,9,3,8,7,6,4]
[4,5,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,5,4]
[3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]
[3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3]
[3,5,7,2,8,4,9,6,1]=>[1,6,9,4,8,2,7,5,3]
[3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3]
[2,4,5,6,7,8,1,9,3]=>[3,9,1,8,7,6,5,4,2]
[3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]
[2,4,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,4,2]
[2,3,5,1,4,6,7,8,9]=>[9,8,7,6,4,1,5,3,2]
[2,3,4,6,1,5,7,8,9]=>[9,8,7,5,1,6,4,3,2]
[2,3,4,5,7,1,6,8,9]=>[9,8,6,1,7,5,4,3,2]
[2,3,4,5,6,8,1,7,9]=>[9,7,1,8,6,5,4,3,2]
[7,6,5,4,3,2,9,1,8]=>[8,1,9,2,3,4,5,6,7]
[6,5,4,3,9,2,8,1,7]=>[7,1,8,2,9,3,4,5,6]
[6,5,4,3,2,8,1,7,9]=>[9,7,1,8,2,3,4,5,6]
[5,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,5]
[5,4,3,8,2,7,1,6,9]=>[9,6,1,7,2,8,3,4,5]
[5,4,3,2,7,9,1,6,8]=>[8,6,1,9,7,2,3,4,5]
[5,4,3,2,7,1,6,8,9]=>[9,8,6,1,7,2,3,4,5]
[4,8,3,7,2,6,1,5,9]=>[9,5,1,6,2,7,3,8,4]
[4,3,7,2,6,9,1,5,8]=>[8,5,1,9,6,2,7,3,4]
[4,3,7,2,6,1,5,8,9]=>[9,8,5,1,6,2,7,3,4]
[4,3,2,6,8,1,5,7,9]=>[9,7,5,1,8,6,2,3,4]
[4,3,2,6,1,5,7,8,9]=>[9,8,7,5,1,6,2,3,4]
[3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3]
[3,6,2,5,8,1,4,7,9]=>[9,7,4,1,8,5,2,6,3]
[3,6,2,5,1,4,7,8,9]=>[9,8,7,4,1,5,2,6,3]
[3,2,5,7,9,1,4,6,8]=>[8,6,4,1,9,7,5,2,3]
[3,2,5,7,1,4,6,8,9]=>[9,8,6,4,1,7,5,2,3]
[3,2,5,1,4,6,7,8,9]=>[9,8,7,6,4,1,5,2,3]
[2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2]
[2,4,6,1,3,5,7,8,9]=>[9,8,7,5,3,1,6,4,2]
[8,7,6,5,4,2,1,9,3]=>[3,9,1,2,4,5,6,7,8]
[8,7,5,4,3,2,1,9,6]=>[6,9,1,2,3,4,5,7,8]
[8,6,5,4,3,2,1,9,7]=>[7,9,1,2,3,4,5,6,8]
[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]
[8,7,6,5,4,9,1,3,2]=>[2,3,1,9,4,5,6,7,8]
[9,6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6,9]
[2,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,2]
[2,4,5,6,7,8,1,3,9]=>[9,3,1,8,7,6,5,4,2]
[3,4,5,6,7,1,8,2,9]=>[9,2,8,1,7,6,5,4,3]
[1,3,5,6,7,8,9,2,4]=>[4,2,9,8,7,6,5,3,1]
[1,4,5,6,7,8,2,9,3]=>[3,9,2,8,7,6,5,4,1]
[7,9,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,9,7]
[8,9,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,9,8]
[8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8]
[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]
[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]
[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]
[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]
[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]
[2,1,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,1,2]
[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]
[3,1,4,2,6,5,8,7,9]=>[9,7,8,5,6,2,4,1,3]
[3,1,5,2,6,4,8,7,9]=>[9,7,8,4,6,2,5,1,3]
[3,1,5,2,7,4,8,6,9]=>[9,6,8,4,7,2,5,1,3]
[3,1,5,2,7,4,6,9,8]=>[8,9,6,4,7,2,5,1,3]
[3,1,5,2,4,7,6,9,8]=>[8,9,6,7,4,2,5,1,3]
[3,1,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,1,3]
[4,1,5,2,6,3,8,7,9]=>[9,7,8,3,6,2,5,1,4]
[3,1,6,2,7,4,8,5,9]=>[9,5,8,4,7,2,6,1,3]
[3,1,5,2,8,4,9,6,7]=>[7,6,9,4,8,2,5,1,3]
[3,1,5,2,7,4,6,8,9]=>[9,8,6,4,7,2,5,1,3]
[3,1,5,2,4,7,9,6,8]=>[8,6,9,7,4,2,5,1,3]
[3,1,2,5,7,4,6,9,8]=>[8,9,6,4,7,5,2,1,3]
[1,3,5,2,4,7,6,9,8]=>[8,9,6,7,4,2,5,3,1]
[4,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,4]
[4,5,6,7,8,9,2,3,1]=>[1,3,2,9,8,7,6,5,4]
[5,6,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,6,5]
[5,6,7,8,9,2,3,4,1]=>[1,4,3,2,9,8,7,6,5]
[5,6,7,8,9,3,4,1,2]=>[2,1,4,3,9,8,7,6,5]
[5,6,7,8,9,3,4,2,1]=>[1,2,4,3,9,8,7,6,5]
[6,7,8,9,2,3,4,5,1]=>[1,5,4,3,2,9,8,7,6]
[6,7,8,9,3,4,5,1,2]=>[2,1,5,4,3,9,8,7,6]
[6,7,8,9,3,4,5,2,1]=>[1,2,5,4,3,9,8,7,6]
[6,7,8,9,4,5,2,3,1]=>[1,3,2,5,4,9,8,7,6]
[6,7,8,9,4,5,3,2,1]=>[1,2,3,5,4,9,8,7,6]
[7,8,9,4,5,6,2,3,1]=>[1,3,2,6,5,4,9,8,7]
[7,8,9,4,5,6,3,2,1]=>[1,2,3,6,5,4,9,8,7]
[7,8,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,8,7]
[7,8,9,5,6,3,4,2,1]=>[1,2,4,3,6,5,9,8,7]
[7,8,9,5,6,4,3,2,1]=>[1,2,3,4,6,5,9,8,7]
[8,9,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,9,8]
[8,9,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,9,8]
[9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]
[9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9]
[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9]
[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9]
[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]
[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]
[9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9]
[9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9]
[9,8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8,9]
[9,8,7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7,8,9]
[9,8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8,9]
[9,6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6,9]
[9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9]
[9,8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8,9]
[9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9]
[9,8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8,9]
[9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9]
[9,8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8,9]
[5,9,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,9,5]
[9,5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5,9]
[9,5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5,9]
[9,8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8,9]
[9,8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8,9]
[6,9,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,9,6]
[6,9,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,9,6]
[9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9]
[9,4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4,9]
[9,6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6,9]
[3,5,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,5,3]
[5,7,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,7,5]
[7,9,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,9,7]
[7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7]
[9,6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6,9]
[9,7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7,9]
[7,6,5,4,3,9,2,8,1]=>[1,8,2,9,3,4,5,6,7]
[9,1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1,9]
[2,3,4,6,5,7,8,9,1]=>[1,9,8,7,5,6,4,3,2]
[8,7,6,4,3,5,2,1,9]=>[9,1,2,5,3,4,6,7,8]
[8,7,6,3,5,4,2,1,9]=>[9,1,2,4,5,3,6,7,8]
[1,9,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,9,1]
[1,9,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,9,1]
[7,6,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,6,7]
[7,6,5,4,3,8,2,1,9]=>[9,1,2,8,3,4,5,6,7]
[7,6,5,4,3,2,8,1,9]=>[9,1,8,2,3,4,5,6,7]
[6,9,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,9,6]
[6,5,8,7,4,3,2,1,9]=>[9,1,2,3,4,7,8,5,6]
[5,9,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,9,5]
[2,3,4,5,6,8,9,7,1]=>[1,7,9,8,6,5,4,3,2]
[2,3,4,5,7,8,9,6,1]=>[1,6,9,8,7,5,4,3,2]
[2,3,5,6,7,8,9,4,1]=>[1,4,9,8,7,6,5,3,2]
[2,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,2]
[2,3,6,1,7,8,9,4,5]=>[5,4,9,8,7,1,6,3,2]
[4,1,5,6,7,8,9,3,2]=>[2,3,9,8,7,6,5,1,4]
[2,6,1,3,7,8,9,4,5]=>[5,4,9,8,7,3,1,6,2]
[8,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,8]
[9,2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2,9]
[3,9,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,9,3]
[8,9,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,9,8]
[8,2,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,2,8]
[8,1,2,3,4,5,9,6,7]=>[7,6,9,5,4,3,2,1,8]
[8,1,2,3,4,9,5,6,7]=>[7,6,5,9,4,3,2,1,8]
[8,1,2,9,3,4,5,6,7]=>[7,6,5,4,3,9,2,1,8]
[8,1,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,1,8]
[6,1,2,3,4,5,8,9,7]=>[7,9,8,5,4,3,2,1,6]
[5,1,2,3,4,8,9,6,7]=>[7,6,9,8,4,3,2,1,5]
[4,1,2,3,8,9,5,6,7]=>[7,6,5,9,8,3,2,1,4]
[3,1,2,8,9,4,5,6,7]=>[7,6,5,4,9,8,2,1,3]
[2,1,8,9,3,4,5,6,7]=>[7,6,5,4,3,9,8,1,2]
[9,8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8,9]
[9,8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8,9]
[9,8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8,9]
[9,8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8,9]
[9,6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6,9]
[8,2,1,7,6,5,4,3,9]=>[9,3,4,5,6,7,1,2,8]
[7,8,2,3,4,5,6,9,1]=>[1,9,6,5,4,3,2,8,7]
[8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]
[8,7,6,5,4,1,3,2,9]=>[9,2,3,1,4,5,6,7,8]
[1,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,1]
[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]
[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]
[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]
[1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1]
[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]
[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]
[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]
[1,5,4,3,2,9,8,7,6]=>[6,7,8,9,2,3,4,5,1]
[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]
[1,2,3,5,4,7,6,9,8]=>[8,9,6,7,4,5,3,2,1]
[1,2,3,4,5,7,6,9,8]=>[8,9,6,7,5,4,3,2,1]
[9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9]
[9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9]
[9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9]
[9,8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8,9]
[9,8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8,9]
[9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9]
[7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7]
[9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9]
[7,1,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,1,7]
[6,1,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,1,6]
[5,1,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,1,5]
[4,1,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,1,4]
[3,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,3]
[9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9]
[3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3]
[9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]
[9,1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1,9]
[2,3,4,5,6,9,7,8,1]=>[1,8,7,9,6,5,4,3,2]
[9,2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2,9]
[4,2,9,8,7,6,5,3,1]=>[1,3,5,6,7,8,9,2,4]
[9,3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3,9]
[2,3,5,6,4,7,8,9,1]=>[1,9,8,7,4,6,5,3,2]
[7,9,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,9,7]
[5,9,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,9,5]
[8,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,8]
[8,6,9,4,7,3,5,2,1]=>[1,2,5,3,7,4,9,6,8]
[1,3,4,5,6,7,9,2,8]=>[8,2,9,7,6,5,4,3,1]
[2,3,4,5,6,7,1,9,8]=>[8,9,1,7,6,5,4,3,2]
[2,1,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,1,2]
[3,1,4,5,6,7,8,2,9]=>[9,2,8,7,6,5,4,1,3]
[1,2,3,4,5,7,9,6,8]=>[8,6,9,7,5,4,3,2,1]
[1,2,3,4,6,9,5,7,8]=>[8,7,5,9,6,4,3,2,1]
[1,2,3,5,9,4,6,7,8]=>[8,7,6,4,9,5,3,2,1]
[1,2,4,9,3,5,6,7,8]=>[8,7,6,5,3,9,4,2,1]
[1,3,9,2,4,5,6,7,8]=>[8,7,6,5,4,2,9,3,1]
[2,9,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,9,2]
[1,9,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,9,1]
[1,9,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,9,1]
[3,9,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,9,3]
[6,9,8,2,1,7,5,4,3]=>[3,4,5,7,1,2,8,9,6]
[8,1,2,9,7,6,5,4,3]=>[3,4,5,6,7,9,2,1,8]
[4,9,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,9,4]
[7,9,6,2,1,8,5,4,3]=>[3,4,5,8,1,2,6,9,7]
[8,7,1,2,9,6,5,4,3]=>[3,4,5,6,9,2,1,7,8]
[1,6,7,8,9,2,3,4,5]=>[5,4,3,2,9,8,7,6,1]
[6,7,8,1,2,3,4,5,9]=>[9,5,4,3,2,1,8,7,6]
[1,7,8,9,2,3,4,5,6]=>[6,5,4,3,2,9,8,7,1]
[5,6,7,1,8,2,3,4,9]=>[9,4,3,2,8,1,7,6,5]
[4,6,7,8,1,2,3,5,9]=>[9,5,3,2,1,8,7,6,4]
[1,6,7,8,2,9,3,4,5]=>[5,4,3,9,2,8,7,6,1]
[1,5,7,8,9,2,3,4,6]=>[6,4,3,2,9,8,7,5,1]
[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]
[8,2,3,4,5,6,7,1,9]=>[9,1,7,6,5,4,3,2,8]
[7,2,3,4,5,6,1,8,9]=>[9,8,1,6,5,4,3,2,7]
[6,2,3,4,5,1,7,8,9]=>[9,8,7,1,5,4,3,2,6]
[5,2,3,4,1,6,7,8,9]=>[9,8,7,6,1,4,3,2,5]
[4,2,3,1,5,6,7,8,9]=>[9,8,7,6,5,1,3,2,4]
[1,2,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,2,1]
[1,2,4,6,5,3,7,8,9]=>[9,8,7,3,5,6,4,2,1]
[1,2,4,6,8,7,5,3,9]=>[9,3,5,7,8,6,4,2,1]
[1,2,4,6,8,9,7,5,3]=>[3,5,7,9,8,6,4,2,1]
[1,2,4,6,7,5,3,8,9]=>[9,8,3,5,7,6,4,2,1]
[1,2,4,5,3,6,7,8,9]=>[9,8,7,6,3,5,4,2,1]
[1,2,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,2,1]
[1,2,4,6,3,5,8,7,9]=>[9,7,8,5,3,6,4,2,1]
[1,2,4,6,8,5,3,7,9]=>[9,7,3,5,8,6,4,2,1]
[1,2,4,5,3,6,8,9,7]=>[7,9,8,6,3,5,4,2,1]
[1,2,3,4,6,7,5,8,9]=>[9,8,5,7,6,4,3,2,1]
[2,4,1,3,6,8,5,7,9]=>[9,7,5,8,6,3,1,4,2]
[2,4,1,3,6,9,5,7,8]=>[8,7,5,9,6,3,1,4,2]
[2,4,1,3,6,8,9,5,7]=>[7,5,9,8,6,3,1,4,2]
[2,4,1,3,8,9,5,6,7]=>[7,6,5,9,8,3,1,4,2]
[4,5,1,2,6,9,3,7,8]=>[8,7,3,9,6,2,1,5,4]
[8,2,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,2,8]
[3,2,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,2,3]
[8,3,1,2,4,5,6,7,9]=>[9,7,6,5,4,2,1,3,8]
[8,2,3,1,4,5,6,7,9]=>[9,7,6,5,4,1,3,2,8]
[4,2,3,5,6,7,8,1,9]=>[9,1,8,7,6,5,3,2,4]
[3,4,2,5,6,7,8,1,9]=>[9,1,8,7,6,5,2,4,3]
[8,4,1,2,3,5,6,7,9]=>[9,7,6,5,3,2,1,4,8]
[8,3,2,1,4,5,6,7,9]=>[9,7,6,5,4,1,2,3,8]
[8,2,3,4,1,5,6,7,9]=>[9,7,6,5,1,4,3,2,8]
[5,2,3,4,6,7,8,1,9]=>[9,1,8,7,6,4,3,2,5]
[4,3,2,5,6,7,8,1,9]=>[9,1,8,7,6,5,2,3,4]
[3,4,5,2,6,7,8,1,9]=>[9,1,8,7,6,2,5,4,3]
[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]
[8,7,3,4,5,6,2,1,9]=>[9,1,2,6,5,4,3,7,8]
[1,9,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,9,1]
[8,2,7,4,5,6,3,1,9]=>[9,1,3,6,5,4,7,2,8]
[7,8,3,4,5,6,1,2,9]=>[9,2,1,6,5,4,3,8,7]
[1,9,3,8,5,6,7,4,2]=>[2,4,7,6,5,8,3,9,1]
[1,8,9,4,5,6,7,2,3]=>[3,2,7,6,5,4,9,8,1]
[1,7,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,7,1]
[6,1,2,3,4,5,7,9,8]=>[8,9,7,5,4,3,2,1,6]
[6,9,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,9,6]
[1,3,4,5,6,7,9,8,2]=>[2,8,9,7,6,5,4,3,1]
[7,3,4,5,6,8,1,2,9]=>[9,2,1,8,6,5,4,3,7]
[2,3,4,5,7,6,8,1,9]=>[9,1,8,6,7,5,4,3,2]
[1,8,4,5,6,7,9,2,3]=>[3,2,9,7,6,5,4,8,1]
[1,3,4,5,6,8,7,9,2]=>[2,9,7,8,6,5,4,3,1]
[1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]
[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]
[1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1]
[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]
[1,2,3,4,9,7,6,8,5]=>[5,8,6,7,9,4,3,2,1]
[1,2,3,9,6,5,7,8,4]=>[4,8,7,5,6,9,3,2,1]
[1,2,9,5,4,6,7,8,3]=>[3,8,7,6,4,5,9,2,1]
[1,9,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,9,1]
[9,3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3,9]
[6,8,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,8,6]
[5,7,8,9,6,4,3,2,1]=>[1,2,3,4,6,9,8,7,5]
[4,6,7,8,9,5,3,2,1]=>[1,2,3,5,9,8,7,6,4]
[3,5,6,7,8,9,4,2,1]=>[1,2,4,9,8,7,6,5,3]
[1,2,3,5,7,4,6,9,8]=>[8,9,6,4,7,5,3,2,1]
[1,2,3,6,4,7,5,9,8]=>[8,9,5,7,4,6,3,2,1]
[1,2,3,4,6,8,5,7,9]=>[9,7,5,8,6,4,3,2,1]
[1,2,3,4,7,5,8,6,9]=>[9,6,8,5,7,4,3,2,1]
[1,2,5,7,3,4,6,9,8]=>[8,9,6,4,3,7,5,2,1]
[1,2,4,5,7,3,6,9,8]=>[8,9,6,3,7,5,4,2,1]
[1,2,6,3,4,7,5,9,8]=>[8,9,5,7,4,3,6,2,1]
[1,2,5,6,3,7,4,9,8]=>[8,9,4,7,3,6,5,2,1]
[2,5,1,3,4,6,7,8,9]=>[9,8,7,6,4,3,1,5,2]
[2,3,1,9,4,5,6,7,8]=>[8,7,6,5,4,9,1,3,2]
[4,5,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,5,4]
[4,9,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,9,4]
[3,9,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,9,3]
[6,8,1,9,2,3,4,5,7]=>[7,5,4,3,2,9,1,8,6]
[4,8,1,2,3,9,5,6,7]=>[7,6,5,9,3,2,1,8,4]
[3,8,1,2,4,5,9,6,7]=>[7,6,9,5,4,2,1,8,3]
[1,8,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,8,1]
[9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9]
[2,1,9,8,6,7,5,4,3]=>[3,4,5,7,6,8,9,1,2]
[9,8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8,9]
[9,8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8,9]
[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]
[2,1,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,1,2]
[2,8,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,8,2]
[4,5,6,7,8,1,2,9,3]=>[3,9,2,1,8,7,6,5,4]
[4,5,6,7,1,2,8,9,3]=>[3,9,8,2,1,7,6,5,4]
[4,5,6,1,2,7,8,9,3]=>[3,9,8,7,2,1,6,5,4]
[4,5,1,2,6,7,8,9,3]=>[3,9,8,7,6,2,1,5,4]
[7,8,1,2,3,4,5,9,6]=>[6,9,5,4,3,2,1,8,7]
[2,8,9,1,3,4,5,6,7]=>[7,6,5,4,3,1,9,8,2]
[7,1,8,2,9,3,4,5,6]=>[6,5,4,3,9,2,8,1,7]
[6,1,7,2,8,3,9,4,5]=>[5,4,9,3,8,2,7,1,6]
[5,1,6,2,7,3,8,4,9]=>[9,4,8,3,7,2,6,1,5]
[7,1,8,2,3,9,4,5,6]=>[6,5,4,9,3,2,8,1,7]
[6,1,7,2,8,3,4,9,5]=>[5,9,4,3,8,2,7,1,6]
[5,1,6,2,7,3,9,4,8]=>[8,4,9,3,7,2,6,1,5]
[4,1,5,2,7,3,8,6,9]=>[9,6,8,3,7,2,5,1,4]
[2,1,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,1,2]
[2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]
[2,3,1,4,5,6,8,9,7]=>[7,9,8,6,5,4,1,3,2]
[1,3,2,4,5,6,8,9,7]=>[7,9,8,6,5,4,2,3,1]
[2,3,1,4,5,6,7,9,8]=>[8,9,7,6,5,4,1,3,2]
[1,3,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,3,1]
[6,7,1,2,3,4,8,9,5]=>[5,9,8,4,3,2,1,7,6]
[7,8,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,8,7]
[9,7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7,9]
[2,4,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,4,2]
[4,5,6,7,8,9,2,1,3]=>[3,1,2,9,8,7,6,5,4]
[5,6,7,8,9,2,1,3,4]=>[4,3,1,2,9,8,7,6,5]
[6,7,8,9,2,1,3,4,5]=>[5,4,3,1,2,9,8,7,6]
[7,8,9,2,1,3,4,5,6]=>[6,5,4,3,1,2,9,8,7]
[8,9,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,9,8]
[8,6,4,3,2,1,9,7,5]=>[5,7,9,1,2,3,4,6,8]
[7,5,4,3,2,1,8,6,9]=>[9,6,8,1,2,3,4,5,7]
[8,6,4,2,1,9,7,5,3]=>[3,5,7,9,1,2,4,6,8]
[7,5,3,2,1,8,6,4,9]=>[9,4,6,8,1,2,3,5,7]
[7,4,3,2,1,8,5,9,6]=>[6,9,5,8,1,2,3,4,7]
[6,4,3,2,1,7,5,8,9]=>[9,8,5,7,1,2,3,4,6]
[7,5,3,1,8,6,4,2,9]=>[9,2,4,6,8,1,3,5,7]
[7,4,2,1,8,5,3,9,6]=>[6,9,3,5,8,1,2,4,7]
[6,4,2,1,7,5,3,8,9]=>[9,8,3,5,7,1,2,4,6]
[6,3,2,1,7,4,8,5,9]=>[9,5,8,4,7,1,2,3,6]
[5,3,2,1,6,4,7,8,9]=>[9,8,7,4,6,1,2,3,5]
[7,4,1,8,5,2,9,6,3]=>[3,6,9,2,5,8,1,4,7]
[6,3,1,7,4,2,8,5,9]=>[9,5,8,2,4,7,1,3,6]
[5,3,1,6,4,2,7,8,9]=>[9,8,7,2,4,6,1,3,5]
[6,2,1,7,3,8,4,9,5]=>[5,9,4,8,3,7,1,2,6]
[5,2,1,6,3,7,4,8,9]=>[9,8,4,7,3,6,1,2,5]
[4,2,1,5,3,6,7,8,9]=>[9,8,7,6,3,5,1,2,4]
[4,1,5,2,6,3,7,8,9]=>[9,8,7,3,6,2,5,1,4]
[3,1,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,1,3]
[1,7,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,7,1]
[1,2,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,2,1]
[1,2,3,4,5,7,6,8,9]=>[9,8,6,7,5,4,3,2,1]
[9,2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2,9]
[8,2,3,4,5,6,9,1,7]=>[7,1,9,6,5,4,3,2,8]
[8,2,3,4,5,9,7,1,6]=>[6,1,7,9,5,4,3,2,8]
[8,2,3,4,9,6,7,1,5]=>[5,1,7,6,9,4,3,2,8]
[8,2,3,9,5,6,7,1,4]=>[4,1,7,6,5,9,3,2,8]
[8,2,9,4,5,6,7,1,3]=>[3,1,7,6,5,4,9,2,8]
[8,9,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,9,8]
[9,8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8,9]
[6,2,3,4,5,1,9,8,7]=>[7,8,9,1,5,4,3,2,6]
[5,2,3,4,1,9,8,7,6]=>[6,7,8,9,1,4,3,2,5]
[4,2,3,1,9,8,7,6,5]=>[5,6,7,8,9,1,3,2,4]
[3,2,1,9,8,6,7,5,4]=>[4,5,7,6,8,9,1,2,3]
[2,1,9,8,5,6,7,4,3]=>[3,4,7,6,5,8,9,1,2]
[1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1]
[1,4,2,5,3,6,7,8,9]=>[9,8,7,6,3,5,2,4,1]
[1,4,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,4,1]
[1,5,2,6,3,7,4,8,9]=>[9,8,4,7,3,6,2,5,1]
[1,5,2,3,6,4,7,8,9]=>[9,8,7,4,6,3,2,5,1]
[1,5,2,6,3,4,7,8,9]=>[9,8,7,4,3,6,2,5,1]
[1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1]
[1,5,2,4,3,6,7,8,9]=>[9,8,7,6,3,4,2,5,1]
[1,6,2,3,7,4,8,5,9]=>[9,5,8,4,7,3,2,6,1]
[1,6,2,7,3,4,5,8,9]=>[9,8,5,4,3,7,2,6,1]
[1,6,2,3,4,7,5,8,9]=>[9,8,5,7,4,3,2,6,1]
[1,6,2,4,3,7,5,8,9]=>[9,8,5,7,3,4,2,6,1]
[1,6,2,4,3,5,7,8,9]=>[9,8,7,5,3,4,2,6,1]
[1,6,2,5,3,4,7,8,9]=>[9,8,7,4,3,5,2,6,1]
[1,7,2,8,3,9,4,5,6]=>[6,5,4,9,3,8,2,7,1]
[1,7,2,4,3,8,5,6,9]=>[9,6,5,8,3,4,2,7,1]
[1,7,2,4,3,5,8,6,9]=>[9,6,8,5,3,4,2,7,1]
[1,7,2,8,3,5,4,6,9]=>[9,6,4,5,3,8,2,7,1]
[1,7,2,5,3,4,8,6,9]=>[9,6,8,4,3,5,2,7,1]
[1,7,2,5,3,4,6,8,9]=>[9,8,6,4,3,5,2,7,1]
[1,7,2,6,3,5,4,8,9]=>[9,8,4,5,3,6,2,7,1]
[1,8,2,6,3,9,4,5,7]=>[7,5,4,9,3,6,2,8,1]
[1,8,2,6,3,4,5,9,7]=>[7,9,5,4,3,6,2,8,1]
[1,8,2,6,3,5,4,7,9]=>[9,7,4,5,3,6,2,8,1]
[1,8,2,7,3,6,4,5,9]=>[9,5,4,6,3,7,2,8,1]
[1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1]
[8,2,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,2,8]
[7,2,3,4,5,6,9,8,1]=>[1,8,9,6,5,4,3,2,7]
[6,2,3,4,5,9,7,8,1]=>[1,8,7,9,5,4,3,2,6]
[5,2,3,4,9,6,7,8,1]=>[1,8,7,6,9,4,3,2,5]
[4,2,3,9,5,6,7,8,1]=>[1,8,7,6,5,9,3,2,4]
[3,2,9,4,5,6,7,8,1]=>[1,8,7,6,5,4,9,2,3]
[2,9,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,9,2]
[6,2,3,4,5,1,8,9,7]=>[7,9,8,1,5,4,3,2,6]
[5,2,3,4,1,7,9,8,6]=>[6,8,9,7,1,4,3,2,5]
[4,2,3,1,6,9,7,8,5]=>[5,8,7,9,6,1,3,2,4]
[3,2,1,5,9,6,7,8,4]=>[4,8,7,6,9,5,1,2,3]
[2,1,4,9,5,6,7,8,3]=>[3,8,7,6,5,9,4,1,2]
[1,3,9,4,5,6,7,8,2]=>[2,8,7,6,5,4,9,3,1]
[2,3,5,6,4,7,8,1,9]=>[9,1,8,7,4,6,5,3,2]
[1,3,4,6,7,5,8,9,2]=>[2,9,8,5,7,6,4,3,1]
[2,3,6,5,7,4,8,1,9]=>[9,1,8,4,7,5,6,3,2]
[2,3,5,6,7,1,8,4,9]=>[9,4,8,1,7,6,5,3,2]
[1,3,4,7,6,8,5,9,2]=>[2,9,5,8,6,7,4,3,1]
[1,3,4,6,7,8,2,9,5]=>[5,9,2,8,7,6,4,3,1]
[2,3,4,5,6,1,8,7,9]=>[9,7,8,1,6,5,4,3,2]
[2,3,4,5,1,7,6,8,9]=>[9,8,6,7,1,5,4,3,2]
[2,3,4,1,6,5,7,8,9]=>[9,8,7,5,6,1,4,3,2]
[2,3,1,5,4,6,7,8,9]=>[9,8,7,6,4,5,1,3,2]
[1,8,6,4,2,9,7,5,3]=>[3,5,7,9,2,4,6,8,1]
[8,6,4,2,1,7,5,3,9]=>[9,3,5,7,1,2,4,6,8]
[8,7,5,3,1,6,4,2,9]=>[9,2,4,6,1,3,5,7,8]
[1,9,7,5,3,2,8,6,4]=>[4,6,8,2,3,5,7,9,1]
[1,9,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,9,1]
[1,9,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,9,1]
[4,2,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,2,4]
[2,4,7,1,3,5,6,8,9]=>[9,8,6,5,3,1,7,4,2]
[6,3,5,1,2,4,7,8,9]=>[9,8,7,4,2,1,5,3,6]
[5,3,2,1,4,6,7,8,9]=>[9,8,7,6,4,1,2,3,5]
[2,4,6,9,1,3,5,7,8]=>[8,7,5,3,1,9,6,4,2]
[4,3,6,8,1,2,5,7,9]=>[9,7,5,2,1,8,6,3,4]
[3,7,2,5,1,4,6,8,9]=>[9,8,6,4,1,5,2,7,3]
[7,4,2,6,1,3,5,8,9]=>[9,8,5,3,1,6,2,4,7]
[6,4,3,2,1,5,7,8,9]=>[9,8,7,5,1,2,3,4,6]
[4,3,7,8,9,1,2,5,6]=>[6,5,2,1,9,8,7,3,4]
[5,9,2,6,8,1,3,4,7]=>[7,4,3,1,8,6,2,9,5]
[5,4,2,7,9,1,3,6,8]=>[8,6,3,1,9,7,2,4,5]
[8,5,7,3,4,1,2,6,9]=>[9,6,2,1,4,3,7,5,8]
[8,5,3,2,7,1,4,6,9]=>[9,6,4,1,7,2,3,5,8]
[7,5,4,3,2,1,6,8,9]=>[9,8,6,1,2,3,4,5,7]
[9,6,8,3,5,7,1,2,4]=>[4,2,1,7,5,3,8,6,9]
[6,5,3,2,8,9,1,4,7]=>[7,4,1,9,8,2,3,5,6]
[4,9,3,7,2,6,1,5,8]=>[8,5,1,6,2,7,3,9,4]
[9,6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6,9]
[9,6,4,3,2,8,1,5,7]=>[7,5,1,8,2,3,4,6,9]
[8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8]
[9,7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7,9]
[9,7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7,9]
[9,4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4,9]
[8,1,2,3,4,5,7,6,9]=>[9,6,7,5,4,3,2,1,8]
[1,9,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,9,1]
[8,1,2,3,4,7,6,5,9]=>[9,5,6,7,4,3,2,1,8]
[8,1,2,3,4,6,5,7,9]=>[9,7,5,6,4,3,2,1,8]
[1,9,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,9,1]
[1,9,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,9,1]
[1,3,4,5,6,7,8,2,9]=>[9,2,8,7,6,5,4,3,1]
[2,1,4,5,6,7,9,3,8]=>[8,3,9,7,6,5,4,1,2]
[2,1,4,5,6,7,8,3,9]=>[9,3,8,7,6,5,4,1,2]
[1,3,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,3,1]
[8,7,1,9,6,5,4,3,2]=>[2,3,4,5,6,9,1,7,8]
[2,3,9,8,7,6,5,1,4]=>[4,1,5,6,7,8,9,3,2]
[8,7,6,1,9,5,4,3,2]=>[2,3,4,5,9,1,6,7,8]
[3,4,9,8,7,6,2,1,5]=>[5,1,2,6,7,8,9,4,3]
[9,3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3,9]
[1,2,3,4,5,7,9,8,6]=>[6,8,9,7,5,4,3,2,1]
[1,2,3,4,6,7,9,8,5]=>[5,8,9,7,6,4,3,2,1]
[1,2,3,4,6,8,9,7,5]=>[5,7,9,8,6,4,3,2,1]
[1,2,3,4,6,9,8,7,5]=>[5,7,8,9,6,4,3,2,1]
[1,2,3,5,6,7,9,8,4]=>[4,8,9,7,6,5,3,2,1]
[1,2,3,5,6,8,9,7,4]=>[4,7,9,8,6,5,3,2,1]
[1,2,3,5,6,9,8,7,4]=>[4,7,8,9,6,5,3,2,1]
[1,2,3,5,7,9,8,6,4]=>[4,6,8,9,7,5,3,2,1]
[1,2,3,5,9,8,7,6,4]=>[4,6,7,8,9,5,3,2,1]
[1,2,4,5,7,8,9,6,3]=>[3,6,9,8,7,5,4,2,1]
[1,2,4,5,7,9,8,6,3]=>[3,6,8,9,7,5,4,2,1]
[1,2,4,5,9,8,7,6,3]=>[3,6,7,8,9,5,4,2,1]
[1,2,4,6,9,8,7,5,3]=>[3,5,7,8,9,6,4,2,1]
[1,2,4,9,8,7,6,5,3]=>[3,5,6,7,8,9,4,2,1]
[1,3,5,7,9,8,6,4,2]=>[2,4,6,8,9,7,5,3,1]
[1,3,5,9,8,7,6,4,2]=>[2,4,6,7,8,9,5,3,1]
[6,5,1,2,3,7,8,9,4]=>[4,9,8,7,3,2,1,5,6]
[4,1,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,1,4]
[6,1,2,4,5,3,7,8,9]=>[9,8,7,3,5,4,2,1,6]
[5,4,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,4,5]
[8,1,2,3,5,6,7,4,9]=>[9,4,7,6,5,3,2,1,8]
[7,5,1,2,4,6,3,8,9]=>[9,8,3,6,4,2,1,5,7]
[4,1,6,3,5,2,7,8,9]=>[9,8,7,2,5,3,6,1,4]
[9,6,1,2,3,4,7,8,5]=>[5,8,7,4,3,2,1,6,9]
[8,1,7,3,2,6,4,5,9]=>[9,5,4,6,2,3,7,1,8]
[8,3,6,1,2,5,7,4,9]=>[9,4,7,5,2,1,6,3,8]
[5,7,1,6,2,4,3,8,9]=>[9,8,3,4,2,6,1,7,5]
[7,3,4,6,1,2,5,8,9]=>[9,8,5,2,1,6,4,3,7]
[6,1,2,9,4,5,7,8,3]=>[3,8,7,5,4,9,2,1,6]
[9,8,1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1,8,9]
[9,3,4,7,1,2,6,8,5]=>[5,8,6,2,1,7,4,3,9]
[4,1,6,3,8,5,7,2,9]=>[9,2,7,5,8,3,6,1,4]
[6,8,5,1,7,2,3,4,9]=>[9,4,3,2,7,1,5,8,6]
[8,3,4,5,7,1,2,6,9]=>[9,6,2,1,7,5,4,3,8]
[5,7,1,9,2,8,4,6,3]=>[3,6,4,8,2,9,1,7,5]
[7,9,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,9,7]
[3,4,1,6,2,5,8,7,9]=>[9,7,8,5,2,6,1,4,3]
[3,4,1,2,6,5,8,7,9]=>[9,7,8,5,6,2,1,4,3]
[3,5,1,6,2,4,8,7,9]=>[9,7,8,4,2,6,1,5,3]
[2,5,1,6,3,4,8,7,9]=>[9,7,8,4,3,6,1,5,2]
[3,5,1,2,6,4,8,7,9]=>[9,7,8,4,6,2,1,5,3]
[2,5,1,3,6,4,8,7,9]=>[9,7,8,4,6,3,1,5,2]
[8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8]
[8,6,2,1,4,3,5,7,9]=>[9,7,5,3,4,1,2,6,8]
[8,4,2,1,6,3,5,7,9]=>[9,7,5,3,6,1,2,4,8]
[6,4,2,1,8,3,5,7,9]=>[9,7,5,3,8,1,2,4,6]
[8,6,4,2,9,1,3,5,7]=>[7,5,3,1,9,2,4,6,8]
[9,6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6,9]
[9,7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7,9]
[9,7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7,9]
[9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9]
[8,2,1,4,3,6,5,7,9]=>[9,7,5,6,3,4,1,2,8]
[4,2,1,6,3,5,8,7,9]=>[9,7,8,5,3,6,1,2,4]
[6,4,2,1,8,3,5,9,7]=>[7,9,5,3,8,1,2,4,6]
[6,4,2,7,1,3,5,8,9]=>[9,8,5,3,1,7,2,4,6]
[8,9,4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4,9,8]
[9,6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6,9]
[9,7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7,9]
[1,2,9,3,4,5,6,8,7]=>[7,8,6,5,4,3,9,2,1]
[1,2,3,8,4,5,9,6,7]=>[7,6,9,5,4,8,3,2,1]
[1,2,3,4,9,5,6,8,7]=>[7,8,6,5,9,4,3,2,1]
[1,2,3,4,5,9,6,8,7]=>[7,8,6,9,5,4,3,2,1]
[7,1,2,3,4,8,5,9,6]=>[6,9,5,8,4,3,2,1,7]
[6,9,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,9,6]
[5,1,9,2,3,4,8,6,7]=>[7,6,8,4,3,2,9,1,5]
[4,1,2,3,5,8,6,9,7]=>[7,9,6,8,5,3,2,1,4]
[3,1,2,4,9,5,8,6,7]=>[7,6,8,5,9,4,2,1,3]
[2,1,3,4,5,9,6,8,7]=>[7,8,6,9,5,4,3,1,2]
[1,7,2,3,4,5,9,8,6]=>[6,8,9,5,4,3,2,7,1]
[1,6,2,3,4,5,9,8,7]=>[7,8,9,5,4,3,2,6,1]
[6,1,2,3,7,4,8,9,5]=>[5,9,8,4,7,3,2,1,6]
[1,2,3,8,5,4,6,9,7]=>[7,9,6,4,5,8,3,2,1]
[5,9,1,2,6,3,4,8,7]=>[7,8,4,3,6,2,1,9,5]
[1,4,2,3,5,6,9,8,7]=>[7,8,9,6,5,3,2,4,1]
[4,1,9,5,2,3,6,8,7]=>[7,8,6,3,2,5,9,1,4]
[1,3,2,4,5,6,9,8,7]=>[7,8,9,6,5,4,2,3,1]
[3,4,1,2,5,6,8,9,7]=>[7,9,8,6,5,2,1,4,3]
[2,3,1,4,9,5,6,8,7]=>[7,8,6,5,9,4,1,3,2]
[8,7,6,1,5,4,3,2,9]=>[9,2,3,4,5,1,6,7,8]
[7,9,8,6,1,5,4,3,2]=>[2,3,4,5,1,6,8,9,7]
[8,7,6,4,1,5,3,2,9]=>[9,2,3,5,1,4,6,7,8]
[8,7,6,2,5,4,3,1,9]=>[9,1,3,4,5,2,6,7,8]
[7,9,8,6,4,1,5,3,2]=>[2,3,5,1,4,6,8,9,7]
[7,9,8,6,2,5,4,3,1]=>[1,3,4,5,2,6,8,9,7]
[8,1,2,3,4,6,9,5,7]=>[7,5,9,6,4,3,2,1,8]
[8,1,2,4,6,9,3,5,7]=>[7,5,3,9,6,4,2,1,8]
[6,1,2,3,4,5,9,8,7]=>[7,8,9,5,4,3,2,1,6]
[5,1,2,3,4,8,6,9,7]=>[7,9,6,8,4,3,2,1,5]
[4,1,2,3,9,6,8,5,7]=>[7,5,8,6,9,3,2,1,4]
[3,1,2,8,4,6,9,5,7]=>[7,5,9,6,4,8,2,1,3]
[2,1,9,4,6,8,3,5,7]=>[7,5,3,8,6,4,9,1,2]
[1,8,2,4,6,9,3,5,7]=>[7,5,3,9,6,4,2,8,1]
[2,3,4,5,8,7,9,1,6]=>[6,1,9,7,8,5,4,3,2]
[2,3,4,7,6,8,9,1,5]=>[5,1,9,8,6,7,4,3,2]
[2,3,6,5,7,8,9,1,4]=>[4,1,9,8,7,5,6,3,2]
[2,5,4,6,7,8,9,1,3]=>[3,1,9,8,7,6,4,5,2]
[4,3,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,3,4]
[6,7,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,7,6]
[6,5,7,8,4,3,2,1,9]=>[9,1,2,3,4,8,7,5,6]
[6,5,4,7,8,3,2,1,9]=>[9,1,2,3,8,7,4,5,6]
[6,5,4,3,7,8,2,1,9]=>[9,1,2,8,7,3,4,5,6]
[6,5,4,3,2,7,8,1,9]=>[9,1,8,7,2,3,4,5,6]
[7,8,9,5,4,3,2,1,6]=>[6,1,2,3,4,5,9,8,7]
[6,7,8,9,4,3,2,1,5]=>[5,1,2,3,4,9,8,7,6]
[6,5,7,8,9,3,2,1,4]=>[4,1,2,3,9,8,7,5,6]
[6,5,4,7,8,9,2,1,3]=>[3,1,2,9,8,7,4,5,6]
[6,5,4,3,7,8,9,1,2]=>[2,1,9,8,7,3,4,5,6]
[6,5,4,3,2,7,8,9,1]=>[1,9,8,7,2,3,4,5,6]
[8,7,6,5,3,2,1,4,9]=>[9,4,1,2,3,5,6,7,8]
[8,7,6,4,3,2,1,5,9]=>[9,5,1,2,3,4,6,7,8]
[8,7,5,4,3,2,1,6,9]=>[9,6,1,2,3,4,5,7,8]
[8,7,6,5,4,1,2,3,9]=>[9,3,2,1,4,5,6,7,8]
[8,7,6,5,2,3,1,4,9]=>[9,4,1,3,2,5,6,7,8]
[8,7,6,3,4,2,1,5,9]=>[9,5,1,2,4,3,6,7,8]
[8,7,4,5,3,2,1,6,9]=>[9,6,1,2,3,5,4,7,8]
[8,5,6,4,3,2,1,7,9]=>[9,7,1,2,3,4,6,5,8]
[6,7,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,7,6]
[6,8,7,9,5,4,3,2,1]=>[1,2,3,4,5,9,7,8,6]
[5,8,7,6,9,4,3,2,1]=>[1,2,3,4,9,6,7,8,5]
[4,8,7,6,5,9,3,2,1]=>[1,2,3,9,5,6,7,8,4]
[3,8,7,6,5,4,9,2,1]=>[1,2,9,4,5,6,7,8,3]
[2,8,7,6,5,4,3,9,1]=>[1,9,3,4,5,6,7,8,2]
[7,6,5,8,4,3,2,9,1]=>[1,9,2,3,4,8,5,6,7]
[5,8,7,6,4,3,2,9,1]=>[1,9,2,3,4,6,7,8,5]
[2,8,7,6,9,5,4,3,1]=>[1,3,4,5,9,6,7,8,2]
[2,6,9,8,7,5,4,3,1]=>[1,3,4,5,7,8,9,6,2]
[1,2,3,4,9,5,7,8,6]=>[6,8,7,5,9,4,3,2,1]
[1,2,3,9,4,6,7,8,5]=>[5,8,7,6,4,9,3,2,1]
[1,2,9,3,5,6,7,8,4]=>[4,8,7,6,5,3,9,2,1]
[1,9,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,9,1]
[9,1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1,9]
[1,8,3,4,5,6,9,2,7]=>[7,2,9,6,5,4,3,8,1]
[8,2,3,4,5,1,9,7,6]=>[6,7,9,1,5,4,3,2,8]
[8,1,9,4,5,6,7,3,2]=>[2,3,7,6,5,4,9,1,8]
[7,9,3,4,5,6,1,8,2]=>[2,8,1,6,5,4,3,9,7]
[1,2,8,4,5,6,9,3,7]=>[7,3,9,6,5,4,8,2,1]
[7,8,3,4,5,2,9,1,6]=>[6,1,9,2,5,4,3,8,7]
[8,2,3,4,1,6,9,7,5]=>[5,7,9,6,1,4,3,2,8]
[8,1,3,9,5,6,7,4,2]=>[2,4,7,6,5,9,3,1,8]
[7,8,9,4,5,6,3,1,2]=>[2,1,3,6,5,4,9,8,7]
[6,9,3,4,5,1,7,8,2]=>[2,8,7,1,5,4,3,9,6]
[1,4,7,6,8,5,3,9,2]=>[2,9,3,5,8,6,7,4,1]
[1,2,7,6,8,5,4,9,3]=>[3,9,4,5,8,6,7,2,1]
[1,4,5,7,8,6,3,9,2]=>[2,9,3,6,8,7,5,4,1]
[1,2,5,7,8,6,4,9,3]=>[3,9,4,6,8,7,5,2,1]
[1,2,3,7,8,6,5,9,4]=>[4,9,5,6,8,7,3,2,1]
[1,4,7,6,5,3,8,9,2]=>[2,9,8,3,5,6,7,4,1]
[1,2,7,6,5,4,8,9,3]=>[3,9,8,4,5,6,7,2,1]
[1,4,5,7,6,3,8,9,2]=>[2,9,8,3,6,7,5,4,1]
[1,2,5,7,6,4,8,9,3]=>[3,9,8,4,6,7,5,2,1]
[1,2,3,7,6,5,8,9,4]=>[4,9,8,5,6,7,3,2,1]
[1,4,5,6,3,7,8,9,2]=>[2,9,8,7,3,6,5,4,1]
[1,2,5,6,4,7,8,9,3]=>[3,9,8,7,4,6,5,2,1]
[2,3,4,5,8,1,9,6,7]=>[7,6,9,1,8,5,4,3,2]
[2,3,4,7,1,8,9,5,6]=>[6,5,9,8,1,7,4,3,2]
[2,5,1,6,7,8,9,3,4]=>[4,3,9,8,7,6,1,5,2]
[4,1,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,1,4]
[2,3,4,5,8,9,1,6,7]=>[7,6,1,9,8,5,4,3,2]
[2,3,4,7,8,1,9,5,6]=>[6,5,9,1,8,7,4,3,2]
[2,3,6,7,1,8,9,4,5]=>[5,4,9,8,1,7,6,3,2]
[2,3,4,8,1,5,9,6,7]=>[7,6,9,5,1,8,4,3,2]
[2,5,6,1,7,8,9,3,4]=>[4,3,9,8,7,1,6,5,2]
[2,3,7,1,4,8,9,5,6]=>[6,5,9,8,4,1,7,3,2]
[4,5,1,6,7,8,9,2,3]=>[3,2,9,8,7,6,1,5,4]
[5,1,2,6,7,8,9,3,4]=>[4,3,9,8,7,6,2,1,5]
[9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9]
[2,3,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,3,2]
[9,1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1,9]
[7,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,7]
[9,7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7,9]
[9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9]
[6,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,6]
[9,6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6,9]
[8,9,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,9,8]
[9,8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8,9]
[9,8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8,9]
[9,5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5,9]
[8,9,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,9,8]
[9,8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8,9]
[9,7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7,9]
[9,8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8,9]
[9,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,9]
[7,9,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,9,7]
[9,7,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,7,9]
[9,8,7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7,8,9]
[9,8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8,9]
[9,8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8,9]
[3,5,2,4,7,6,9,8,1]=>[1,8,9,6,7,4,2,5,3]
[3,5,2,7,4,6,9,8,1]=>[1,8,9,6,4,7,2,5,3]
[3,5,2,7,4,9,6,8,1]=>[1,8,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,1,8]=>[8,1,6,9,4,7,2,5,3]
[3,5,2,7,4,8,6,1,9]=>[9,1,6,8,4,7,2,5,3]
[3,5,2,6,4,8,7,1,9]=>[9,1,7,8,4,6,2,5,3]
[3,4,2,6,5,8,7,1,9]=>[9,1,7,8,5,6,2,4,3]
[2,4,3,6,5,8,7,1,9]=>[9,1,7,8,5,6,3,4,2]
[3,5,7,2,4,6,9,8,1]=>[1,8,9,6,4,2,7,5,3]
[3,5,2,7,9,4,6,8,1]=>[1,8,6,4,9,7,2,5,3]
[3,5,2,7,4,9,1,8,6]=>[6,8,1,9,4,7,2,5,3]
[3,5,2,7,4,8,6,9,1]=>[1,9,6,8,4,7,2,5,3]
[3,5,2,6,4,9,7,1,8]=>[8,1,7,9,4,6,2,5,3]
[3,4,2,7,5,8,6,1,9]=>[9,1,6,8,5,7,2,4,3]
[2,5,3,6,4,8,7,1,9]=>[9,1,7,8,4,6,3,5,2]
[3,5,1,2,4,7,6,9,8]=>[8,9,6,7,4,2,1,5,3]
[3,1,5,7,2,4,6,9,8]=>[8,9,6,4,2,7,5,1,3]
[3,1,5,2,7,9,4,6,8]=>[8,6,4,9,7,2,5,1,3]
[3,1,5,2,6,4,9,7,8]=>[8,7,9,4,6,2,5,1,3]
[3,1,4,2,7,5,8,6,9]=>[9,6,8,5,7,2,4,1,3]
[2,1,5,3,6,4,8,7,9]=>[9,7,8,4,6,3,5,1,2]
[3,4,5,6,7,8,2,9,1]=>[1,9,2,8,7,6,5,4,3]
[1,4,5,6,7,8,3,9,2]=>[2,9,3,8,7,6,5,4,1]
[3,4,5,6,7,2,1,9,8]=>[8,9,1,2,7,6,5,4,3]
[2,1,5,6,7,8,9,4,3]=>[3,4,9,8,7,6,5,1,2]
[2,4,5,6,7,8,3,1,9]=>[9,1,3,8,7,6,5,4,2]
[8,7,6,4,5,3,2,9,1]=>[1,9,2,3,5,4,6,7,8]
[2,9,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,9,2]
[8,7,5,4,3,6,2,9,1]=>[1,9,2,6,3,4,5,7,8]
[8,7,3,6,5,4,2,9,1]=>[1,9,2,4,5,6,3,7,8]
[2,9,8,6,5,4,7,3,1]=>[1,3,7,4,5,6,8,9,2]
[2,9,8,4,7,6,5,3,1]=>[1,3,5,6,7,4,8,9,2]
[1,8,3,6,5,7,4,9,2]=>[2,9,4,7,5,6,3,8,1]
[1,2,8,6,5,7,4,9,3]=>[3,9,4,7,5,6,8,2,1]
[1,8,3,4,6,7,5,9,2]=>[2,9,5,7,6,4,3,8,1]
[1,2,8,4,6,7,5,9,3]=>[3,9,5,7,6,4,8,2,1]
[1,2,3,8,6,7,5,9,4]=>[4,9,5,7,6,8,3,2,1]
[1,7,3,6,5,4,8,9,2]=>[2,9,8,4,5,6,3,7,1]
[1,7,3,4,6,5,8,9,2]=>[2,9,8,5,6,4,3,7,1]
[1,2,7,4,6,5,8,9,3]=>[3,9,8,5,6,4,7,2,1]
[1,6,3,4,5,7,8,9,2]=>[2,9,8,7,5,4,3,6,1]
[1,2,6,4,5,7,8,9,3]=>[3,9,8,7,5,4,6,2,1]
[5,4,2,1,3,6,7,8,9]=>[9,8,7,6,3,1,2,4,5]
[7,5,2,1,3,6,4,8,9]=>[9,8,4,6,3,1,2,5,7]
[6,3,5,2,1,4,7,8,9]=>[9,8,7,4,1,2,5,3,6]
[9,6,2,1,3,4,7,8,5]=>[5,8,7,4,3,1,2,6,9]
[8,1,7,3,4,6,2,5,9]=>[9,5,2,6,4,3,7,1,8]
[8,3,6,2,1,4,7,5,9]=>[9,5,7,4,1,2,6,3,8]
[5,7,2,6,4,1,3,8,9]=>[9,8,3,1,4,6,2,7,5]
[7,3,4,6,2,1,5,8,9]=>[9,8,5,1,2,6,4,3,7]
[9,8,2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2,8,9]
[9,3,4,7,2,1,5,8,6]=>[6,8,5,1,2,7,4,3,9]
[6,8,5,3,7,2,1,4,9]=>[9,4,1,2,7,3,5,8,6]
[8,3,4,5,7,2,1,6,9]=>[9,6,1,2,7,5,4,3,8]
[5,7,2,9,4,8,6,1,3]=>[3,1,6,8,4,9,2,7,5]
[7,9,4,6,3,8,2,1,5]=>[5,1,2,8,3,6,4,9,7]
[9,3,4,5,6,8,2,1,7]=>[7,1,2,8,6,5,4,3,9]
[8,6,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,6,8]
[8,7,6,4,9,5,3,2,1]=>[1,2,3,5,9,4,6,7,8]
[8,7,6,5,4,2,9,3,1]=>[1,3,9,2,4,5,6,7,8]
[5,6,4,7,3,8,2,9,1]=>[1,9,2,8,3,7,4,6,5]
[5,6,4,7,3,9,2,8,1]=>[1,8,2,9,3,7,4,6,5]
[5,6,4,9,3,7,2,8,1]=>[1,8,2,7,3,9,4,6,5]
[5,9,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,9,5]
[9,5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5,9]
[5,4,9,6,3,7,2,8,1]=>[1,8,2,7,3,6,9,4,5]
[5,4,6,3,9,7,2,8,1]=>[1,8,2,7,9,3,6,4,5]
[5,4,6,3,7,2,9,8,1]=>[1,8,9,2,7,3,6,4,5]
[5,4,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,4,5]
[5,6,4,9,3,8,2,7,1]=>[1,7,2,8,3,9,4,6,5]
[5,9,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,9,5]
[9,4,6,5,3,7,2,8,1]=>[1,8,2,7,3,5,6,4,9]
[4,5,9,6,3,7,2,8,1]=>[1,8,2,7,3,6,9,5,4]
[5,3,6,4,9,7,2,8,1]=>[1,8,2,7,9,4,6,3,5]
[5,4,6,2,7,3,9,8,1]=>[1,8,9,3,7,2,6,4,5]
[5,4,6,3,7,1,8,2,9]=>[9,2,8,1,7,3,6,4,5]
[1,8,3,4,5,6,7,9,2]=>[2,9,7,6,5,4,3,8,1]
[7,2,3,4,5,6,1,9,8]=>[8,9,1,6,5,4,3,2,7]
[2,1,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,1,2]
[2,8,3,4,5,6,7,1,9]=>[9,1,7,6,5,4,3,8,2]
[2,9,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,9,2]
[2,9,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,9,2]
[7,6,5,4,3,1,9,2,8]=>[8,2,9,1,3,4,5,6,7]
[8,7,6,5,4,1,2,9,3]=>[3,9,2,1,4,5,6,7,8]
[7,6,5,4,2,1,9,3,8]=>[8,3,9,1,2,4,5,6,7]
[6,5,4,3,1,9,7,2,8]=>[8,2,7,9,1,3,4,5,6]
[8,7,6,5,3,1,2,9,4]=>[4,9,2,1,3,5,6,7,8]
[7,6,5,4,1,2,9,8,3]=>[3,8,9,2,1,4,5,6,7]
[7,6,5,3,2,1,9,4,8]=>[8,4,9,1,2,3,5,6,7]
[6,5,4,1,7,2,9,3,8]=>[8,3,9,2,7,1,4,5,6]
[5,4,3,1,9,7,6,2,8]=>[8,2,6,7,9,1,3,4,5]
[8,7,6,4,3,1,2,9,5]=>[5,9,2,1,3,4,6,7,8]
[7,6,5,1,2,8,3,9,4]=>[4,9,3,8,2,1,5,6,7]
[6,5,4,1,2,9,8,7,3]=>[3,7,8,9,2,1,4,5,6]
[8,7,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,7,8]
[8,6,7,1,2,3,4,5,9]=>[9,5,4,3,2,1,7,6,8]
[8,7,6,1,2,3,4,5,9]=>[9,5,4,3,2,1,6,7,8]
[8,5,6,7,1,2,3,4,9]=>[9,4,3,2,1,7,6,5,8]
[7,8,5,6,1,2,3,4,9]=>[9,4,3,2,1,6,5,8,7]
[8,7,5,6,1,2,3,4,9]=>[9,4,3,2,1,6,5,7,8]
[8,7,6,5,1,2,3,4,9]=>[9,4,3,2,1,5,6,7,8]
[8,4,5,6,9,1,2,3,7]=>[7,3,2,1,9,6,5,4,8]
[7,8,4,5,6,1,2,3,9]=>[9,3,2,1,6,5,4,8,7]
[8,7,4,5,6,1,2,3,9]=>[9,3,2,1,6,5,4,7,8]
[8,6,7,4,5,1,2,3,9]=>[9,3,2,1,5,4,7,6,8]
[8,7,6,4,5,1,2,3,9]=>[9,3,2,1,5,4,6,7,8]
[6,7,9,3,4,8,1,2,5]=>[5,2,1,8,4,3,9,7,6]
[8,6,7,3,4,9,1,2,5]=>[5,2,1,9,4,3,7,6,8]
[8,7,6,3,4,9,1,2,5]=>[5,2,1,9,4,3,6,7,8]
[8,7,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,7,8]
[8,7,6,5,3,4,1,2,9]=>[9,2,1,4,3,5,6,7,8]
[8,7,6,4,9,2,5,1,3]=>[3,1,5,2,9,4,6,7,8]
[8,7,6,5,4,2,9,1,3]=>[3,1,9,2,4,5,6,7,8]
[2,5,1,8,3,4,9,6,7]=>[7,6,9,4,3,8,1,5,2]
[2,3,1,8,4,5,9,6,7]=>[7,6,9,5,4,8,1,3,2]
[2,5,6,8,1,3,9,4,7]=>[7,4,9,3,1,8,6,5,2]
[2,3,6,8,1,4,9,5,7]=>[7,5,9,4,1,8,6,3,2]
[2,5,1,3,4,8,9,6,7]=>[7,6,9,8,4,3,1,5,2]
[2,3,1,4,5,8,9,6,7]=>[7,6,9,8,5,4,1,3,2]
[2,5,6,1,3,8,9,4,7]=>[7,4,9,8,3,1,6,5,2]
[2,3,6,1,4,8,9,5,7]=>[7,5,9,8,4,1,6,3,2]
[2,3,4,1,5,8,9,6,7]=>[7,6,9,8,5,1,4,3,2]
[6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6]
[5,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,5]
[4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4]
[9,8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8,9]
[8,9,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,9,8]
[9,8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8,9]
[7,9,8,3,4,5,6,2,1]=>[1,2,6,5,4,3,8,9,7]
[7,8,9,3,4,5,6,2,1]=>[1,2,6,5,4,3,9,8,7]
[9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9]
[6,9,8,7,4,5,3,2,1]=>[1,2,3,5,4,7,8,9,6]
[7,6,9,8,4,5,3,2,1]=>[1,2,3,5,4,8,9,6,7]
[6,7,9,8,4,5,3,2,1]=>[1,2,3,5,4,8,9,7,6]
[6,5,9,8,7,4,3,2,1]=>[1,2,3,4,7,8,9,5,6]
[5,6,9,8,7,4,3,2,1]=>[1,2,3,4,7,8,9,6,5]
[5,7,6,9,8,4,3,2,1]=>[1,2,3,4,8,9,6,7,5]
[5,6,7,9,8,4,3,2,1]=>[1,2,3,4,8,9,7,6,5]
[6,5,4,7,8,9,3,2,1]=>[1,2,3,9,8,7,4,5,6]
[4,6,5,7,8,9,3,2,1]=>[1,2,3,9,8,7,5,6,4]
[7,6,9,8,1,2,5,4,3]=>[3,4,5,2,1,8,9,6,7]
[6,7,9,8,1,2,5,4,3]=>[3,4,5,2,1,8,9,7,6]
[6,7,8,9,1,2,5,4,3]=>[3,4,5,2,1,9,8,7,6]
[5,6,7,8,9,1,4,3,2]=>[2,3,4,1,9,8,7,6,5]
[5,7,6,9,8,2,1,4,3]=>[3,4,1,2,8,9,6,7,5]
[5,6,7,9,8,2,1,4,3]=>[3,4,1,2,8,9,7,6,5]
[5,6,7,8,9,2,1,4,3]=>[3,4,1,2,9,8,7,6,5]
[5,6,7,8,9,1,2,4,3]=>[3,4,2,1,9,8,7,6,5]
[2,4,3,1,6,5,8,7,9]=>[9,7,8,5,6,1,3,4,2]
[2,4,3,6,5,1,8,7,9]=>[9,7,8,1,5,6,3,4,2]
[2,4,3,6,5,8,7,9,1]=>[1,9,7,8,5,6,3,4,2]
[2,4,3,6,5,7,1,9,8]=>[8,9,1,7,5,6,3,4,2]
[2,4,3,5,1,7,6,9,8]=>[8,9,6,7,1,5,3,4,2]
[2,6,4,3,5,1,8,7,9]=>[9,7,8,1,5,3,4,6,2]
[2,4,3,8,6,5,7,1,9]=>[9,1,7,5,6,8,3,4,2]
[2,4,3,6,5,9,8,7,1]=>[1,7,8,9,5,6,3,4,2]
[2,4,3,6,5,7,1,8,9]=>[9,8,1,7,5,6,3,4,2]
[2,4,3,5,1,8,7,9,6]=>[6,9,7,8,1,5,3,4,2]
[2,3,1,6,5,7,4,9,8]=>[8,9,4,7,5,6,1,3,2]
[1,4,3,5,2,7,6,9,8]=>[8,9,6,7,2,5,3,4,1]
[1,8,2,9,3,7,4,6,5]=>[5,6,4,7,3,9,2,8,1]
[1,8,2,7,3,9,4,6,5]=>[5,6,4,9,3,7,2,8,1]
[1,8,2,7,3,6,4,9,5]=>[5,9,4,6,3,7,2,8,1]
[1,8,2,7,3,6,9,4,5]=>[5,4,9,6,3,7,2,8,1]
[1,8,2,7,9,3,6,4,5]=>[5,4,6,3,9,7,2,8,1]
[1,8,9,2,7,3,6,4,5]=>[5,4,6,3,7,2,9,8,1]
[1,7,3,9,2,8,4,6,5]=>[5,6,4,8,2,9,3,7,1]
[1,8,2,6,4,9,3,7,5]=>[5,7,3,9,4,6,2,8,1]
[1,8,2,7,3,5,9,4,6]=>[6,4,9,5,3,7,2,8,1]
[1,9,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,9,1]
[1,2,9,8,3,4,5,6,7]=>[7,6,5,4,3,8,9,2,1]
[1,7,9,8,2,3,4,5,6]=>[6,5,4,3,2,8,9,7,1]
[1,8,9,3,4,5,6,7,2]=>[2,7,6,5,4,3,9,8,1]
[1,2,3,9,8,4,5,6,7]=>[7,6,5,4,8,9,3,2,1]
[1,9,8,3,4,5,6,2,7]=>[7,2,6,5,4,3,8,9,1]
[1,6,7,9,8,2,3,4,5]=>[5,4,3,2,8,9,7,6,1]
[1,3,4,9,5,6,7,8,2]=>[2,8,7,6,5,9,4,3,1]
[1,9,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,9,1]
[1,7,8,9,3,4,5,6,2]=>[2,6,5,4,3,9,8,7,1]
[1,2,3,4,6,9,7,8,5]=>[5,8,7,9,6,4,3,2,1]
[1,2,3,5,9,6,7,8,4]=>[4,8,7,6,9,5,3,2,1]
[1,2,4,9,5,6,7,8,3]=>[3,8,7,6,5,9,4,2,1]
[3,4,5,6,1,8,9,2,7]=>[7,2,9,8,1,6,5,4,3]
[3,4,5,6,8,1,9,2,7]=>[7,2,9,1,8,6,5,4,3]
[3,4,5,6,8,9,1,2,7]=>[7,2,1,9,8,6,5,4,3]
[2,4,5,1,6,7,8,9,3]=>[3,9,8,7,6,1,5,4,2]
[2,3,4,1,6,7,8,9,5]=>[5,9,8,7,6,1,4,3,2]
[3,4,5,6,1,2,9,7,8]=>[8,7,9,2,1,6,5,4,3]
[3,4,5,6,8,1,2,7,9]=>[9,7,2,1,8,6,5,4,3]
[3,4,5,1,6,7,8,2,9]=>[9,2,8,7,6,1,5,4,3]
[5,6,1,7,8,9,2,3,4]=>[4,3,2,9,8,7,1,6,5]
[1,3,5,2,6,7,8,9,4]=>[4,9,8,7,6,2,5,3,1]
[2,1,4,3,6,7,8,9,5]=>[5,9,8,7,6,3,4,1,2]
[2,3,1,5,6,7,8,9,4]=>[4,9,8,7,6,5,1,3,2]
[9,7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7,9]
[9,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,9]
[9,8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8,9]
[9,8,7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7,8,9]
[1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1]
[1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1]
[1,8,2,3,4,5,9,6,7]=>[7,6,9,5,4,3,2,8,1]
[1,6,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,6,1]
[1,3,4,5,6,2,7,8,9]=>[9,8,7,2,6,5,4,3,1]
[1,3,4,5,6,8,9,2,7]=>[7,2,9,8,6,5,4,3,1]
[4,5,2,3,6,7,8,9,1]=>[1,9,8,7,6,3,2,5,4]
[4,3,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,3,4]
[5,6,7,2,3,4,8,9,1]=>[1,9,8,4,3,2,7,6,5]
[5,3,6,2,4,7,8,9,1]=>[1,9,8,7,4,2,6,3,5]
[5,4,3,2,6,7,8,9,1]=>[1,9,8,7,6,2,3,4,5]
[6,3,7,8,2,4,5,9,1]=>[1,9,5,4,2,8,7,3,6]
[6,7,4,5,2,3,8,9,1]=>[1,9,8,3,2,5,4,7,6]
[6,4,3,7,2,5,8,9,1]=>[1,9,8,5,2,7,3,4,6]
[7,3,8,9,1,4,5,6,2]=>[2,6,5,4,1,9,8,3,7]
[7,8,4,5,9,2,3,6,1]=>[1,6,3,2,9,5,4,8,7]
[7,4,3,8,9,2,5,6,1]=>[1,6,5,2,9,8,3,4,7]
[7,5,8,3,6,2,4,9,1]=>[1,9,4,2,6,3,8,5,7]
[7,5,4,3,8,2,6,9,1]=>[1,9,6,2,8,3,4,5,7]
[7,6,5,4,3,2,8,9,1]=>[1,9,8,2,3,4,5,6,7]
[8,9,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,9,8]
[8,5,9,3,6,1,4,7,2]=>[2,7,4,1,6,3,9,5,8]
[8,5,4,3,9,1,6,7,2]=>[2,7,6,1,9,3,4,5,8]
[8,6,4,9,3,7,2,5,1]=>[1,5,2,7,3,9,4,6,8]
[8,6,5,4,3,9,2,7,1]=>[1,7,2,9,3,4,5,6,8]
[9,7,1,6,2,5,3,8,4]=>[4,8,3,5,2,6,1,7,9]
[9,7,5,4,1,6,2,8,3]=>[3,8,2,6,1,4,5,7,9]
[3,1,6,2,4,7,5,9,8]=>[8,9,5,7,4,2,6,1,3]
[2,3,1,4,6,7,5,8,9]=>[9,8,5,7,6,4,1,3,2]
[2,4,1,5,6,7,3,8,9]=>[9,8,3,7,6,5,1,4,2]
[2,3,1,4,6,8,5,9,7]=>[7,9,5,8,6,4,1,3,2]
[2,4,1,6,7,8,3,9,5]=>[5,9,3,8,7,6,1,4,2]
[2,3,1,6,4,5,7,8,9]=>[9,8,7,5,4,6,1,3,2]
[2,4,1,5,3,6,7,8,9]=>[9,8,7,6,3,5,1,4,2]
[2,3,1,6,4,5,8,9,7]=>[7,9,8,5,4,6,1,3,2]
[2,4,1,5,3,6,8,9,7]=>[7,9,8,6,3,5,1,4,2]
[2,3,1,6,4,8,5,7,9]=>[9,7,5,8,4,6,1,3,2]
[2,4,1,5,3,8,6,7,9]=>[9,7,6,8,3,5,1,4,2]
[4,5,6,7,8,3,9,1,2]=>[2,1,9,3,8,7,6,5,4]
[8,9,2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2,9,8]
[5,6,7,4,8,9,1,2,3]=>[3,2,1,9,8,4,7,6,5]
[7,8,9,2,3,1,4,5,6]=>[6,5,4,1,3,2,9,8,7]
[6,5,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,5,6]
[7,1,2,3,4,5,8,6,9]=>[9,6,8,5,4,3,2,1,7]
[6,1,2,3,4,7,5,8,9]=>[9,8,5,7,4,3,2,1,6]
[5,1,2,3,6,4,7,8,9]=>[9,8,7,4,6,3,2,1,5]
[4,1,2,5,3,6,7,8,9]=>[9,8,7,6,3,5,2,1,4]
[8,1,2,3,4,5,9,7,6]=>[6,7,9,5,4,3,2,1,8]
[8,1,2,3,4,9,6,7,5]=>[5,7,6,9,4,3,2,1,8]
[9,1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1,9]
[8,1,2,9,4,5,6,7,3]=>[3,7,6,5,4,9,2,1,8]
[8,1,9,3,4,5,6,7,2]=>[2,7,6,5,4,3,9,1,8]
[8,1,2,3,4,6,9,7,5]=>[5,7,9,6,4,3,2,1,8]
[8,1,2,3,5,9,6,7,4]=>[4,7,6,9,5,3,2,1,8]
[9,1,2,4,8,5,6,7,3]=>[3,7,6,5,8,4,2,1,9]
[8,1,3,9,4,5,6,7,2]=>[2,7,6,5,4,9,3,1,8]
[8,2,9,3,4,5,6,7,1]=>[1,7,6,5,4,3,9,2,8]
[7,1,2,3,4,9,8,6,5]=>[5,6,8,9,4,3,2,1,7]
[6,1,2,3,9,8,5,7,4]=>[4,7,5,8,9,3,2,1,6]
[9,1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1,9]
[8,1,2,9,5,4,6,7,3]=>[3,7,6,4,5,9,2,1,8]
[8,1,2,3,5,6,9,7,4]=>[4,7,9,6,5,3,2,1,8]
[4,1,9,8,3,5,6,7,2]=>[2,7,6,5,3,8,9,1,4]
[8,1,2,4,5,9,6,7,3]=>[3,7,6,9,5,4,2,1,8]
[3,9,8,2,4,5,6,7,1]=>[1,7,6,5,4,2,8,9,3]
[9,1,3,4,8,5,6,7,2]=>[2,7,6,5,8,4,3,1,9]
[8,2,3,9,4,5,6,7,1]=>[1,7,6,5,4,9,3,2,8]
[1,2,3,4,5,8,9,6,7]=>[7,6,9,8,5,4,3,2,1]
[1,2,3,4,7,9,5,8,6]=>[6,8,5,9,7,4,3,2,1]
[1,2,3,6,9,4,7,8,5]=>[5,8,7,4,9,6,3,2,1]
[1,2,5,9,3,6,7,8,4]=>[4,8,7,6,3,9,5,2,1]
[1,4,9,2,5,6,7,8,3]=>[3,8,7,6,5,2,9,4,1]
[3,9,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,9,3]
[2,8,1,9,3,4,5,6,7]=>[7,6,5,4,3,9,1,8,2]
[1,4,2,3,6,5,8,7,9]=>[9,7,8,5,6,3,2,4,1]
[1,3,4,2,6,5,8,7,9]=>[9,7,8,5,6,2,4,3,1]
[2,3,1,4,6,5,8,7,9]=>[9,7,8,5,6,4,1,3,2]
[4,6,1,2,3,5,8,7,9]=>[9,7,8,5,3,2,1,6,4]
[3,4,5,1,6,2,8,7,9]=>[9,7,8,2,6,1,5,4,3]
[3,1,2,4,6,5,8,7,9]=>[9,7,8,5,6,4,2,1,3]
[1,2,3,4,5,8,6,7,9]=>[9,7,6,8,5,4,3,2,1]
[2,1,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,1,2]
[3,1,2,4,5,8,6,7,9]=>[9,7,6,8,5,4,2,1,3]
[1,2,3,4,5,7,8,6,9]=>[9,6,8,7,5,4,3,2,1]
[3,4,1,2,5,6,9,7,8]=>[8,7,9,6,5,2,1,4,3]
[7,1,9,3,4,5,6,2,8]=>[8,2,6,5,4,3,9,1,7]
[9,8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8,9]
[7,2,1,9,4,5,6,3,8]=>[8,3,6,5,4,9,1,2,7]
[6,9,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,9,6]
[3,8,1,2,9,5,6,7,4]=>[4,7,6,5,9,2,1,8,3]
[8,7,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,7,8]
[7,2,3,1,9,5,6,4,8]=>[8,4,6,5,9,1,3,2,7]
[6,1,2,7,4,5,9,3,8]=>[8,3,9,5,4,7,2,1,6]
[5,9,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,9,5]
[3,8,1,4,2,9,6,7,5]=>[5,7,6,9,2,4,1,8,3]
[9,7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7,9]
[7,6,9,1,2,3,4,8,5]=>[5,8,4,3,2,1,9,6,7]
[1,2,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,2,1]
[5,6,7,9,1,2,3,8,4]=>[4,8,3,2,1,9,7,6,5]
[5,9,3,8,1,7,6,4,2]=>[2,4,6,7,1,8,3,9,5]
[3,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,3]
[7,6,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,6,7]
[5,4,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,4,5]
[1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]
[8,1,7,2,3,4,5,6,9]=>[9,6,5,4,3,2,7,1,8]
[6,1,2,3,5,4,7,8,9]=>[9,8,7,4,5,3,2,1,6]
[2,3,4,6,7,8,9,5,1]=>[1,5,9,8,7,6,4,3,2]
[2,3,4,5,6,9,8,7,1]=>[1,7,8,9,6,5,4,3,2]
[2,3,4,5,8,7,9,6,1]=>[1,6,9,7,8,5,4,3,2]
[2,3,4,7,6,8,9,5,1]=>[1,5,9,8,6,7,4,3,2]
[2,3,6,5,7,8,9,4,1]=>[1,4,9,8,7,5,6,3,2]
[2,5,4,6,7,8,9,3,1]=>[1,3,9,8,7,6,4,5,2]
[4,3,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,3,4]
[2,3,4,5,8,9,7,6,1]=>[1,6,7,9,8,5,4,3,2]
[2,3,4,7,8,6,9,5,1]=>[1,5,9,6,8,7,4,3,2]
[2,3,4,5,9,8,7,6,1]=>[1,6,7,8,9,5,4,3,2]
[2,3,6,7,5,8,9,4,1]=>[1,4,9,8,5,7,6,3,2]
[2,3,4,8,7,6,9,5,1]=>[1,5,9,6,7,8,4,3,2]
[2,5,6,4,7,8,9,3,1]=>[1,3,9,8,7,4,6,5,2]
[2,3,7,6,5,8,9,4,1]=>[1,4,9,8,5,6,7,3,2]
[4,5,3,6,7,8,9,2,1]=>[1,2,9,8,7,6,3,5,4]
[2,6,5,4,7,8,9,3,1]=>[1,3,9,8,7,4,5,6,2]
[5,4,3,6,7,8,9,2,1]=>[1,2,9,8,7,6,3,4,5]
[3,4,5,6,7,1,2,8,9]=>[9,8,2,1,7,6,5,4,3]
[1,3,2,9,4,5,6,7,8]=>[8,7,6,5,4,9,2,3,1]
[1,3,8,2,4,5,6,7,9]=>[9,7,6,5,4,2,8,3,1]
[2,3,5,1,4,7,6,9,8]=>[8,9,6,7,4,1,5,3,2]
[3,4,1,5,2,7,6,9,8]=>[8,9,6,7,2,5,1,4,3]
[4,1,2,5,3,7,6,9,8]=>[8,9,6,7,3,5,2,1,4]
[4,2,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,2,4]
[4,6,2,8,1,3,5,7,9]=>[9,7,5,3,1,8,2,6,4]
[4,6,8,2,1,3,5,7,9]=>[9,7,5,3,1,2,8,6,4]
[4,6,8,2,9,1,3,5,7]=>[7,5,3,1,9,2,8,6,4]
[4,6,2,7,9,1,3,5,8]=>[8,5,3,1,9,7,2,6,4]
[4,2,5,7,9,1,3,6,8]=>[8,6,3,1,9,7,5,2,4]
[2,3,5,7,9,1,4,6,8]=>[8,6,4,1,9,7,5,3,2]
[6,4,2,8,1,3,5,7,9]=>[9,7,5,3,1,8,2,4,6]
[8,4,6,2,1,3,5,7,9]=>[9,7,5,3,1,2,6,4,8]
[4,6,8,9,2,1,3,5,7]=>[7,5,3,1,2,9,8,6,4]
[4,6,2,7,1,3,5,8,9]=>[9,8,5,3,1,7,2,6,4]
[4,8,2,5,9,1,3,6,7]=>[7,6,3,1,9,5,2,8,4]
[6,2,3,7,9,1,4,5,8]=>[8,5,4,1,9,7,3,2,6]
[1,4,5,7,9,2,3,6,8]=>[8,6,3,2,9,7,5,4,1]
[8,6,4,9,7,5,3,2,1]=>[1,2,3,5,7,9,4,6,8]
[7,8,5,9,6,4,3,2,1]=>[1,2,3,4,6,9,5,8,7]
[8,6,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,6,8]
[7,8,5,3,9,6,4,2,1]=>[1,2,4,6,9,3,5,8,7]
[7,4,8,5,9,6,3,2,1]=>[1,2,3,6,9,5,8,4,7]
[6,7,8,4,9,5,3,2,1]=>[1,2,3,5,9,4,8,7,6]
[7,8,5,3,1,9,6,4,2]=>[2,4,6,9,1,3,5,8,7]
[7,4,8,5,2,9,6,3,1]=>[1,3,6,9,2,5,8,4,7]
[6,7,8,4,2,9,5,3,1]=>[1,3,5,9,2,4,8,7,6]
[6,7,3,8,4,9,5,2,1]=>[1,2,5,9,4,8,3,7,6]
[5,6,7,8,3,9,4,2,1]=>[1,2,4,9,3,8,7,6,5]
[6,7,3,8,4,1,9,5,2]=>[2,5,9,1,4,8,3,7,6]
[5,6,7,8,3,1,9,4,2]=>[2,4,9,1,3,8,7,6,5]
[6,2,7,3,8,4,9,5,1]=>[1,5,9,4,8,3,7,2,6]
[5,6,7,2,8,3,9,4,1]=>[1,4,9,3,8,2,7,6,5]
[4,5,6,7,8,2,9,3,1]=>[1,3,9,2,8,7,6,5,4]
[5,6,1,7,2,8,3,9,4]=>[4,9,3,8,2,7,1,6,5]
[4,5,6,7,1,8,2,9,3]=>[3,9,2,8,1,7,6,5,4]
[2,4,6,1,8,3,9,5,7]=>[7,5,9,3,8,1,6,4,2]
[2,1,4,3,6,5,9,7,8]=>[8,7,9,5,6,3,4,1,2]
[2,1,4,3,7,5,9,6,8]=>[8,6,9,5,7,3,4,1,2]
[2,1,5,3,7,4,9,6,8]=>[8,6,9,4,7,3,5,1,2]
[2,4,6,1,7,3,8,5,9]=>[9,5,8,3,7,1,6,4,2]
[2,1,4,3,8,5,9,6,7]=>[7,6,9,5,8,3,4,1,2]
[2,3,4,5,9,6,7,8,1]=>[1,8,7,6,9,5,4,3,2]
[2,3,4,9,5,6,7,8,1]=>[1,8,7,6,5,9,4,3,2]
[2,3,9,4,5,6,7,8,1]=>[1,8,7,6,5,4,9,3,2]
[2,3,4,5,9,7,6,8,1]=>[1,8,6,7,9,5,4,3,2]
[2,3,4,9,6,5,7,8,1]=>[1,8,7,5,6,9,4,3,2]
[2,3,9,5,4,6,7,8,1]=>[1,8,7,6,4,5,9,3,2]
[2,9,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,9,2]
[2,3,4,5,9,7,8,6,1]=>[1,6,8,7,9,5,4,3,2]
[2,3,4,9,6,7,5,8,1]=>[1,8,5,7,6,9,4,3,2]
[2,3,9,5,6,4,7,8,1]=>[1,8,7,4,6,5,9,3,2]
[2,3,4,9,7,6,5,8,1]=>[1,8,5,6,7,9,4,3,2]
[2,9,4,5,3,6,7,8,1]=>[1,8,7,6,3,5,4,9,2]
[2,3,9,6,5,4,7,8,1]=>[1,8,7,4,5,6,9,3,2]
[2,9,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,9,2]
[2,1,8,3,4,5,6,7,9]=>[9,7,6,5,4,3,8,1,2]
[1,2,3,8,4,5,6,9,7]=>[7,9,6,5,4,8,3,2,1]
[1,9,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,9,1]
[7,9,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,9,7]
[1,2,8,9,3,5,6,7,4]=>[4,7,6,5,3,9,8,2,1]
[1,3,4,5,6,9,2,8,7]=>[7,8,2,9,6,5,4,3,1]
[3,4,5,8,1,2,6,9,7]=>[7,9,6,2,1,8,5,4,3]
[9,8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8,9]
[1,5,6,7,8,9,2,3,4]=>[4,3,2,9,8,7,6,5,1]
[1,7,2,8,9,3,4,5,6]=>[6,5,4,3,9,8,2,7,1]
[1,6,2,7,8,9,3,4,5]=>[5,4,3,9,8,7,2,6,1]
[1,5,2,6,7,8,9,3,4]=>[4,3,9,8,7,6,2,5,1]
[3,4,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,4,3]
[4,3,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,3,4]
[4,5,2,1,3,6,7,8,9]=>[9,8,7,6,3,1,2,5,4]
[3,4,2,5,1,6,7,8,9]=>[9,8,7,6,1,5,2,4,3]
[5,3,1,2,4,6,7,8,9]=>[9,8,7,6,4,2,1,3,5]
[4,3,5,1,2,6,7,8,9]=>[9,8,7,6,2,1,5,3,4]
[5,6,1,2,3,4,7,8,9]=>[9,8,7,4,3,2,1,6,5]
[6,3,7,1,2,4,5,8,9]=>[9,8,5,4,2,1,7,3,6]
[5,4,3,1,2,6,7,8,9]=>[9,8,7,6,2,1,3,4,5]
[8,3,9,1,2,4,5,6,7]=>[7,6,5,4,2,1,9,3,8]
[7,4,3,8,1,2,5,6,9]=>[9,6,5,2,1,8,3,4,7]
[6,5,4,3,1,2,7,8,9]=>[9,8,7,2,1,3,4,5,6]
[9,5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5,9]
[9,4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4,9]
[8,6,9,3,7,1,2,4,5]=>[5,4,2,1,7,3,9,6,8]
[8,5,4,3,9,1,2,6,7]=>[7,6,2,1,9,3,4,5,8]
[7,6,5,4,3,1,2,8,9]=>[9,8,2,1,3,4,5,6,7]
[9,7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7,9]
[9,6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6,9]
[1,3,4,5,6,9,2,7,8]=>[8,7,2,9,6,5,4,3,1]
[1,3,4,5,9,2,6,7,8]=>[8,7,6,2,9,5,4,3,1]
[1,3,4,9,2,5,6,7,8]=>[8,7,6,5,2,9,4,3,1]
[6,2,3,4,5,1,9,7,8]=>[8,7,9,1,5,4,3,2,6]
[5,2,3,4,1,9,6,7,8]=>[8,7,6,9,1,4,3,2,5]
[4,2,3,1,9,5,6,7,8]=>[8,7,6,5,9,1,3,2,4]
[3,2,1,9,4,5,6,7,8]=>[8,7,6,5,4,9,1,2,3]
[2,3,4,5,9,7,1,8,6]=>[6,8,1,7,9,5,4,3,2]
[2,3,4,9,6,7,1,8,5]=>[5,8,1,7,6,9,4,3,2]
[2,3,9,5,6,1,7,8,4]=>[4,8,7,1,6,5,9,3,2]
[2,3,9,5,1,7,4,8,6]=>[6,8,4,7,1,5,9,3,2]
[2,1,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,1,2]
[2,3,4,5,6,8,7,9,1]=>[1,9,7,8,6,5,4,3,2]
[8,6,5,4,3,2,7,9,1]=>[1,9,7,2,3,4,5,6,8]
[8,9,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,9,8]
[7,6,5,4,3,8,9,1,2]=>[2,1,9,8,3,4,5,6,7]
[9,6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6,9]
[9,2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2,9]
[3,1,5,6,7,8,9,2,4]=>[4,2,9,8,7,6,5,1,3]
[2,1,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,1,2]
[3,4,5,6,7,9,1,2,8]=>[8,2,1,9,7,6,5,4,3]
[3,4,5,7,8,9,1,2,6]=>[6,2,1,9,8,7,5,4,3]
[3,4,6,7,8,9,1,2,5]=>[5,2,1,9,8,7,6,4,3]
[3,5,6,7,8,9,1,2,4]=>[4,2,1,9,8,7,6,5,3]
[3,4,5,6,1,9,2,7,8]=>[8,7,2,9,1,6,5,4,3]
[3,4,5,1,8,9,2,6,7]=>[7,6,2,9,8,1,5,4,3]
[3,4,1,7,8,9,2,5,6]=>[6,5,2,9,8,7,1,4,3]
[3,1,6,7,8,9,2,4,5]=>[5,4,2,9,8,7,6,1,3]
[3,4,5,6,9,1,2,7,8]=>[8,7,2,1,9,6,5,4,3]
[3,4,5,8,1,9,2,6,7]=>[7,6,2,9,1,8,5,4,3]
[3,4,5,6,1,2,7,8,9]=>[9,8,7,2,1,6,5,4,3]
[3,4,7,1,8,9,2,5,6]=>[6,5,2,9,8,1,7,4,3]
[3,4,5,1,2,9,6,7,8]=>[8,7,6,9,2,1,5,4,3]
[3,6,1,7,8,9,2,4,5]=>[5,4,2,9,8,7,1,6,3]
[3,4,1,2,8,9,5,6,7]=>[7,6,5,9,8,2,1,4,3]
[5,1,6,7,8,9,2,3,4]=>[4,3,2,9,8,7,6,1,5]
[3,1,2,7,8,9,4,5,6]=>[6,5,4,9,8,7,2,1,3]
[1,2,6,7,8,9,3,4,5]=>[5,4,3,9,8,7,6,2,1]
[1,2,5,6,7,3,8,9,4]=>[4,9,8,3,7,6,5,2,1]
[1,2,4,3,5,7,8,9,6]=>[6,9,8,7,5,3,4,2,1]
[2,3,5,6,7,4,8,1,9]=>[9,1,8,4,7,6,5,3,2]
[1,3,4,6,7,8,5,9,2]=>[2,9,5,8,7,6,4,3,1]
[3,1,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,1,3]
[1,4,2,3,5,6,7,9,8]=>[8,9,7,6,5,3,2,4,1]
[4,1,2,3,5,6,7,9,8]=>[8,9,7,6,5,3,2,1,4]
[3,5,1,7,2,8,4,6,9]=>[9,6,4,8,2,7,1,5,3]
[3,5,1,7,2,9,4,8,6]=>[6,8,4,9,2,7,1,5,3]
[3,5,1,7,2,6,4,9,8]=>[8,9,4,6,2,7,1,5,3]
[3,5,1,4,2,7,6,9,8]=>[8,9,6,7,2,4,1,5,3]
[4,5,6,1,2,3,8,7,9]=>[9,7,8,3,2,1,6,5,4]
[3,6,1,7,8,2,4,5,9]=>[9,5,4,2,8,7,1,6,3]
[3,5,1,8,2,9,7,4,6]=>[6,4,7,9,2,8,1,5,3]
[3,5,1,7,2,6,4,8,9]=>[9,8,4,6,2,7,1,5,3]
[3,5,1,4,2,9,7,8,6]=>[6,8,7,9,2,4,1,5,3]
[3,2,1,7,5,6,4,9,8]=>[8,9,4,6,5,7,1,2,3]
[1,5,3,4,2,7,6,9,8]=>[8,9,6,7,2,4,3,5,1]
[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]
[9,2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2,9]
[9,2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2,9]
[9,2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2,9]
[9,2,8,4,5,6,7,3,1]=>[1,3,7,6,5,4,8,2,9]
[7,2,3,4,9,8,1,6,5]=>[5,6,1,8,9,4,3,2,7]
[6,2,3,9,8,1,7,5,4]=>[4,5,7,1,8,9,3,2,6]
[5,2,9,8,1,6,7,4,3]=>[3,4,7,6,1,8,9,2,5]
[4,9,8,1,5,6,7,3,2]=>[2,3,7,6,5,1,8,9,4]
[9,2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2,9]
[9,2,3,7,8,6,4,5,1]=>[1,5,4,6,8,7,3,2,9]
[9,2,6,8,5,3,7,4,1]=>[1,4,7,3,5,8,6,2,9]
[9,5,8,4,2,6,7,3,1]=>[1,3,7,6,2,4,8,5,9]
[9,8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8,9]
[9,8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8,9]
[9,8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8,9]
[9,8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8,9]
[9,1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1,9]
[1,3,4,5,6,7,2,9,8]=>[8,9,2,7,6,5,4,3,1]
[3,4,5,6,7,1,9,2,8]=>[8,2,9,1,7,6,5,4,3]
[3,2,4,1,6,5,8,7,9]=>[9,7,8,5,6,1,4,2,3]
[4,2,5,1,6,3,8,7,9]=>[9,7,8,3,6,1,5,2,4]
[4,2,6,1,7,3,8,5,9]=>[9,5,8,3,7,1,6,2,4]
[4,2,6,1,8,3,9,5,7]=>[7,5,9,3,8,1,6,2,4]
[4,2,6,1,7,3,5,9,8]=>[8,9,5,3,7,1,6,2,4]
[4,2,5,1,3,7,6,9,8]=>[8,9,6,7,3,1,5,2,4]
[3,2,5,4,6,1,8,7,9]=>[9,7,8,1,6,4,5,2,3]
[4,2,5,1,7,6,8,3,9]=>[9,3,8,6,7,1,5,2,4]
[4,2,6,1,7,3,9,8,5]=>[5,8,9,3,7,1,6,2,4]
[4,2,6,1,7,3,5,8,9]=>[9,8,5,3,7,1,6,2,4]
[4,2,5,1,3,8,9,6,7]=>[7,6,9,8,3,1,5,2,4]
[3,2,1,6,7,4,5,9,8]=>[8,9,5,4,7,6,1,2,3]
[1,4,5,2,3,7,6,9,8]=>[8,9,6,7,3,2,5,4,1]
[9,8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8,9]
[9,8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8,9]
[2,3,4,8,6,7,9,5,1]=>[1,5,9,7,6,8,4,3,2]
[2,3,8,5,6,7,9,1,4]=>[4,1,9,7,6,5,8,3,2]
[2,8,4,5,6,7,9,3,1]=>[1,3,9,7,6,5,4,8,2]
[8,3,4,5,6,7,9,2,1]=>[1,2,9,7,6,5,4,3,8]
[2,3,4,5,7,9,1,8,6]=>[6,8,1,9,7,5,4,3,2]
[2,3,4,6,7,1,9,5,8]=>[8,5,9,1,7,6,4,3,2]
[2,3,5,6,1,7,9,4,8]=>[8,4,9,7,1,6,5,3,2]
[2,4,5,1,6,7,9,8,3]=>[3,8,9,7,6,1,5,4,2]
[3,4,1,5,6,7,9,2,8]=>[8,2,9,7,6,5,1,4,3]
[3,2,4,5,6,7,9,1,8]=>[8,1,9,7,6,5,4,2,3]
[2,3,4,7,6,9,8,5,1]=>[1,5,8,9,6,7,4,3,2]
[2,3,4,6,9,1,7,8,5]=>[5,8,7,1,9,6,4,3,2]
[2,5,4,6,8,7,9,1,3]=>[3,1,9,7,8,6,4,5,2]
[2,3,5,7,1,6,9,4,8]=>[8,4,9,6,1,7,5,3,2]
[4,3,5,8,6,7,9,2,1]=>[1,2,9,7,6,8,5,3,4]
[2,4,6,1,5,7,9,3,8]=>[8,3,9,7,5,1,6,4,2]
[2,4,8,5,6,7,9,1,3]=>[3,1,9,7,6,5,8,4,2]
[3,5,1,4,6,7,9,8,2]=>[2,8,9,7,6,4,1,5,3]
[4,2,3,5,6,7,9,1,8]=>[8,1,9,7,6,5,3,2,4]
[1,4,2,6,3,7,5,9,8]=>[8,9,5,7,3,6,2,4,1]
[1,3,2,6,4,7,5,9,8]=>[8,9,5,7,4,6,2,3,1]
[2,1,6,3,7,4,8,5,9]=>[9,5,8,4,7,3,6,1,2]
[7,9,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,9,7]
[6,5,4,3,2,7,1,8,9]=>[9,8,1,7,2,3,4,5,6]
[5,4,3,2,6,1,7,8,9]=>[9,8,7,1,6,2,3,4,5]
[4,3,2,5,1,6,7,8,9]=>[9,8,7,6,1,5,2,3,4]
[3,2,4,1,5,6,7,8,9]=>[9,8,7,6,5,1,4,2,3]
[1,3,5,2,7,4,6,9,8]=>[8,9,6,4,7,2,5,3,1]
[1,3,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,3,1]
[1,3,5,2,7,4,8,6,9]=>[9,6,8,4,7,2,5,3,1]
[1,3,5,2,6,4,8,7,9]=>[9,7,8,4,6,2,5,3,1]
[1,2,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,2,1]
[1,3,5,7,2,4,6,9,8]=>[8,9,6,4,2,7,5,3,1]
[1,3,5,2,7,9,4,6,8]=>[8,6,4,9,7,2,5,3,1]
[1,3,5,2,7,4,8,9,6]=>[6,9,8,4,7,2,5,3,1]
[1,3,5,2,6,4,9,7,8]=>[8,7,9,4,6,2,5,3,1]
[1,3,4,2,7,5,8,6,9]=>[9,6,8,5,7,2,4,3,1]
[1,2,5,3,6,4,8,7,9]=>[9,7,8,4,6,3,5,2,1]
[1,3,5,7,2,9,4,6,8]=>[8,6,4,9,2,7,5,3,1]
[1,3,5,2,7,8,4,9,6]=>[6,9,4,8,7,2,5,3,1]
[1,3,5,7,9,2,4,6,8]=>[8,6,4,2,9,7,5,3,1]
[1,3,5,2,6,4,7,9,8]=>[8,9,7,4,6,2,5,3,1]
[1,3,5,2,7,8,9,4,6]=>[6,4,9,8,7,2,5,3,1]
[1,3,4,2,7,5,9,6,8]=>[8,6,9,5,7,2,4,3,1]
[1,3,5,2,6,4,7,8,9]=>[9,8,7,4,6,2,5,3,1]
[1,2,5,3,7,4,8,6,9]=>[9,6,8,4,7,3,5,2,1]
[1,3,4,2,8,5,9,6,7]=>[7,6,9,5,8,2,4,3,1]
[1,2,6,3,7,4,8,5,9]=>[9,5,8,4,7,3,6,2,1]
[5,6,2,1,3,7,4,8,9]=>[9,8,4,7,3,1,2,6,5]
[3,2,5,1,6,4,7,8,9]=>[9,8,7,4,6,1,5,2,3]
[6,7,2,1,8,3,4,9,5]=>[5,9,4,3,8,1,2,7,6]
[3,6,4,1,7,2,8,5,9]=>[9,5,8,2,7,1,4,6,3]
[3,6,7,2,1,4,8,5,9]=>[9,5,8,4,1,2,7,6,3]
[4,2,6,1,7,5,3,8,9]=>[9,8,3,5,7,1,6,2,4]
[4,3,2,6,1,7,5,8,9]=>[9,8,5,7,1,6,2,3,4]
[4,7,2,5,1,8,3,9,6]=>[6,9,3,8,1,5,2,7,4]
[4,3,7,8,2,1,5,9,6]=>[6,9,5,1,2,8,7,3,4]
[3,5,2,7,1,8,6,4,9]=>[9,4,6,8,1,7,2,5,3]
[5,4,3,2,7,1,8,6,9]=>[9,6,8,1,7,2,3,4,5]
[6,4,2,8,1,9,7,5,3]=>[3,5,7,9,1,8,2,4,6]
[4,3,6,2,8,1,9,7,5]=>[5,7,9,1,8,2,6,3,4]
[6,5,4,3,2,8,1,9,7]=>[7,9,1,8,2,3,4,5,6]
[2,8,7,9,6,5,4,3,1]=>[1,3,4,5,6,9,7,8,2]
[3,1,2,9,4,5,6,7,8]=>[8,7,6,5,4,9,2,1,3]
[4,1,2,3,9,5,6,7,8]=>[8,7,6,5,9,3,2,1,4]
[5,1,2,3,4,9,6,7,8]=>[8,7,6,9,4,3,2,1,5]
[6,1,2,3,4,5,9,7,8]=>[8,7,9,5,4,3,2,1,6]
[3,4,1,2,9,5,6,7,8]=>[8,7,6,5,9,2,1,4,3]
[4,5,1,2,3,9,6,7,8]=>[8,7,6,9,3,2,1,5,4]
[5,6,1,2,3,4,9,7,8]=>[8,7,9,4,3,2,1,6,5]
[6,7,1,2,3,4,5,9,8]=>[8,9,5,4,3,2,1,7,6]
[9,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,9]
[9,6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6,9]
[8,5,2,9,6,3,7,4,1]=>[1,4,7,3,6,9,2,5,8]
[9,5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5,9]
[9,5,1,8,4,7,3,6,2]=>[2,6,3,7,4,8,1,5,9]
[8,4,7,3,6,2,9,5,1]=>[1,5,9,2,6,3,7,4,8]
[7,3,8,4,6,2,9,5,1]=>[1,5,9,2,6,4,8,3,7]
[9,4,7,2,5,8,3,6,1]=>[1,6,3,8,5,2,7,4,9]
[9,4,6,1,8,3,5,7,2]=>[2,7,5,3,8,1,6,4,9]
[8,3,5,7,2,9,4,6,1]=>[1,6,4,9,2,7,5,3,8]
[7,2,8,3,9,4,5,6,1]=>[1,6,5,4,9,3,8,2,7]
[8,3,7,2,9,4,5,6,1]=>[1,6,5,4,9,2,7,3,8]
[5,8,3,7,2,9,4,6,1]=>[1,6,4,9,2,7,3,8,5]
[4,5,6,9,3,8,2,7,1]=>[1,7,2,8,3,9,6,5,4]
[4,5,6,8,2,9,3,7,1]=>[1,7,3,9,2,8,6,5,4]
[9,3,6,5,4,7,1,8,2]=>[2,8,1,7,4,5,6,3,9]
[8,2,9,3,6,5,4,7,1]=>[1,7,4,5,6,3,9,2,8]
[6,5,4,8,2,9,3,7,1]=>[1,7,3,9,2,8,4,5,6]
[5,6,4,8,2,9,3,7,1]=>[1,7,3,9,2,8,4,6,5]
[9,2,7,4,5,6,3,8,1]=>[1,8,3,6,5,4,7,2,9]
[7,4,5,6,3,9,2,8,1]=>[1,8,2,9,3,6,5,4,7]
[5,7,4,6,3,9,2,8,1]=>[1,8,2,9,3,6,4,7,5]
[4,2,5,6,7,8,9,1,3]=>[3,1,9,8,7,6,5,2,4]
[1,5,6,7,8,9,3,4,2]=>[2,4,3,9,8,7,6,5,1]
[1,3,6,7,8,9,2,5,4]=>[4,5,2,9,8,7,6,3,1]
[3,1,6,7,8,9,4,5,2]=>[2,5,4,9,8,7,6,1,3]
[8,4,5,6,7,2,1,9,3]=>[3,9,1,2,7,6,5,4,8]
[4,2,1,7,8,9,3,6,5]=>[5,6,3,9,8,7,1,2,4]
[9,2,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,2,9]
[3,4,1,7,8,9,5,6,2]=>[2,6,5,9,8,7,1,4,3]
[1,9,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,9,1]
[7,4,5,6,2,8,1,9,3]=>[3,9,1,8,2,6,5,4,7]
[4,2,5,1,8,9,3,7,6]=>[6,7,3,9,8,1,5,2,4]
[1,3,2,8,9,4,6,7,5]=>[5,7,6,4,9,8,2,3,1]
[8,2,5,6,7,3,9,1,4]=>[4,1,9,3,7,6,5,2,8]
[5,6,7,9,1,2,3,4,8]=>[8,4,3,2,1,9,7,6,5]
[4,5,6,7,9,1,2,3,8]=>[8,3,2,1,9,7,6,5,4]
[7,6,9,1,2,3,4,5,8]=>[8,5,4,3,2,1,9,6,7]
[6,5,7,9,1,2,3,4,8]=>[8,4,3,2,1,9,7,5,6]
[5,4,6,7,9,1,2,3,8]=>[8,3,2,1,9,7,6,4,5]
[4,3,5,6,7,9,1,2,8]=>[8,2,1,9,7,6,5,3,4]
[1,6,5,7,4,8,3,9,2]=>[2,9,3,8,4,7,5,6,1]
[5,4,6,3,8,2,7,1,9]=>[9,1,7,2,8,3,6,4,5]
[1,6,5,7,4,9,3,8,2]=>[2,8,3,9,4,7,5,6,1]
[5,4,8,3,6,2,7,1,9]=>[9,1,7,2,6,3,8,4,5]
[5,4,7,3,8,2,6,1,9]=>[9,1,6,2,8,3,7,4,5]
[1,6,5,9,4,7,3,8,2]=>[2,8,3,7,4,9,5,6,1]
[1,6,5,8,4,9,3,7,2]=>[2,7,3,9,4,8,5,6,1]
[1,2,3,5,7,9,4,6,8]=>[8,6,4,9,7,5,3,2,1]
[1,2,4,6,8,3,5,7,9]=>[9,7,5,3,8,6,4,2,1]
[3,4,5,6,7,8,2,1,9]=>[9,1,2,8,7,6,5,4,3]
[3,4,5,6,7,2,1,8,9]=>[9,8,1,2,7,6,5,4,3]
[4,5,6,7,8,1,2,3,9]=>[9,3,2,1,8,7,6,5,4]
[4,5,6,8,7,1,2,3,9]=>[9,3,2,1,7,8,6,5,4]
[4,5,7,6,8,1,2,3,9]=>[9,3,2,1,8,6,7,5,4]
[1,5,6,7,9,8,2,3,4]=>[4,3,2,8,9,7,6,5,1]
[1,5,6,8,7,9,2,3,4]=>[4,3,2,9,7,8,6,5,1]
[2,8,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,8,2]
[2,3,7,4,5,6,8,9,1]=>[1,9,8,6,5,4,7,3,2]
[2,3,4,1,5,7,8,9,6]=>[6,9,8,7,5,1,4,3,2]
[4,3,1,2,6,5,8,7,9]=>[9,7,8,5,6,2,1,3,4]
[6,5,3,1,2,4,8,7,9]=>[9,7,8,4,2,1,3,5,6]
[8,7,5,3,1,2,4,6,9]=>[9,6,4,2,1,3,5,7,8]
[7,5,3,1,2,4,6,9,8]=>[8,9,6,4,2,1,3,5,7]
[5,3,1,2,4,7,6,9,8]=>[8,9,6,7,4,2,1,3,5]
[4,1,2,6,5,3,8,7,9]=>[9,7,8,3,5,6,2,1,4]
[6,3,1,2,4,8,7,5,9]=>[9,5,7,8,4,2,1,3,6]
[8,5,3,1,2,4,6,9,7]=>[7,9,6,4,2,1,3,5,8]
[7,5,3,1,2,4,6,8,9]=>[9,8,6,4,2,1,3,5,7]
[5,3,1,2,4,9,7,6,8]=>[8,6,7,9,4,2,1,3,5]
[3,1,2,7,5,4,6,9,8]=>[8,9,6,4,5,7,2,1,3]
[1,5,3,2,4,7,6,9,8]=>[8,9,6,7,4,2,3,5,1]
[9,3,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,3,9]
[2,9,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,9,2]
[7,3,9,8,6,1,5,4,2]=>[2,4,5,1,6,8,9,3,7]
[9,7,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,7,9]
[6,3,9,8,1,7,5,4,2]=>[2,4,5,7,1,8,9,3,6]
[1,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,1]
[1,7,2,8,3,6,4,5,9]=>[9,5,4,6,3,8,2,7,1]
[1,2,8,3,9,4,7,5,6]=>[6,5,7,4,9,3,8,2,1]
[1,7,2,6,3,8,4,5,9]=>[9,5,4,8,3,6,2,7,1]
[1,6,3,7,2,8,4,5,9]=>[9,5,4,8,2,7,3,6,1]
[1,2,8,3,7,4,9,5,6]=>[6,5,9,4,7,3,8,2,1]
[1,2,7,4,8,3,9,5,6]=>[6,5,9,3,8,4,7,2,1]
[1,7,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,7,1]
[6,7,3,1,8,2,4,9,5]=>[5,9,4,2,8,1,3,7,6]
[2,6,7,3,1,4,8,5,9]=>[9,5,8,4,1,3,7,6,2]
[2,7,4,5,1,8,3,9,6]=>[6,9,3,8,1,5,4,7,2]
[3,2,7,8,4,1,5,9,6]=>[6,9,5,1,4,8,7,2,3]
[1,7,8,9,6,5,4,3,2]=>[2,3,4,5,6,9,8,7,1]
[1,6,7,8,9,5,4,3,2]=>[2,3,4,5,9,8,7,6,1]
[1,5,6,7,8,9,4,3,2]=>[2,3,4,9,8,7,6,5,1]
[1,4,5,6,7,8,9,3,2]=>[2,3,9,8,7,6,5,4,1]
[1,7,6,8,9,5,4,3,2]=>[2,3,4,5,9,8,6,7,1]
[1,6,5,7,8,9,4,3,2]=>[2,3,4,9,8,7,5,6,1]
[1,5,4,6,7,8,9,3,2]=>[2,3,9,8,7,6,4,5,1]
[8,2,9,1,3,4,5,6,7]=>[7,6,5,4,3,1,9,2,8]
[7,2,8,9,1,3,4,5,6]=>[6,5,4,3,1,9,8,2,7]
[7,9,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,9,7]
[9,7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7,9]
[9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9]
[6,9,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,9,6]
[9,6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6,9]
[8,6,9,2,7,1,3,4,5]=>[5,4,3,1,7,2,9,6,8]
[9,8,6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6,8,9]
[9,8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8,9]
[5,8,9,2,6,7,1,3,4]=>[4,3,1,7,6,2,9,8,5]
[8,5,9,2,6,7,1,3,4]=>[4,3,1,7,6,2,9,5,8]
[9,8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8,9]
[7,9,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,9,7]
[9,7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7,9]
[9,8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8,9]
[9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9]
[9,8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8,9]
[9,8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8,9]
[9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9]
[3,5,6,7,8,1,9,2,4]=>[4,2,9,1,8,7,6,5,3]
[3,4,6,7,1,8,9,2,5]=>[5,2,9,8,1,7,6,4,3]
[3,4,5,1,7,8,9,2,6]=>[6,2,9,8,7,1,5,4,3]
[3,4,1,5,6,8,9,2,7]=>[7,2,9,8,6,5,1,4,3]
[7,6,5,4,8,3,2,1,9]=>[9,1,2,3,8,4,5,6,7]
[7,5,6,8,4,3,2,1,9]=>[9,1,2,3,4,8,6,5,7]
[7,6,4,5,8,3,2,1,9]=>[9,1,2,3,8,5,4,6,7]
[7,6,5,3,4,8,2,1,9]=>[9,1,2,8,4,3,5,6,7]
[7,6,5,4,2,3,8,1,9]=>[9,1,8,3,2,4,5,6,7]
[3,2,5,6,7,8,9,1,4]=>[4,1,9,8,7,6,5,2,3]
[4,2,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,2,4]
[1,2,5,6,7,4,8,9,3]=>[3,9,8,4,7,6,5,2,1]
[9,8,7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7,8,9]
[1,3,4,5,6,7,2,8,9]=>[9,8,2,7,6,5,4,3,1]
[2,3,4,7,8,9,1,5,6]=>[6,5,1,9,8,7,4,3,2]
[2,3,6,7,8,9,1,4,5]=>[5,4,1,9,8,7,6,3,2]
[2,5,6,7,8,9,1,3,4]=>[4,3,1,9,8,7,6,5,2]
[2,3,4,5,1,9,6,7,8]=>[8,7,6,9,1,5,4,3,2]
[2,3,4,1,8,9,5,6,7]=>[7,6,5,9,8,1,4,3,2]
[2,3,1,7,8,9,4,5,6]=>[6,5,4,9,8,7,1,3,2]
[2,1,6,7,8,9,3,4,5]=>[5,4,3,9,8,7,6,1,2]
[4,1,2,3,6,5,8,7,9]=>[9,7,8,5,6,3,2,1,4]
[4,1,6,2,3,5,8,7,9]=>[9,7,8,5,3,2,6,1,4]
[1,7,2,3,4,5,8,6,9]=>[9,6,8,5,4,3,2,7,1]
[6,1,2,3,4,5,8,7,9]=>[9,7,8,5,4,3,2,1,6]
[2,3,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,3,2]
[3,4,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,4,3]
[4,5,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,5,4]
[5,6,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,6,5]
[6,7,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,7,6]
[3,4,5,2,6,7,8,9,1]=>[1,9,8,7,6,2,5,4,3]
[3,4,5,6,7,2,8,9,1]=>[1,9,8,2,7,6,5,4,3]
[3,5,2,1,6,7,8,9,4]=>[4,9,8,7,6,1,2,5,3]
[3,4,5,7,1,2,8,9,6]=>[6,9,8,2,1,7,5,4,3]
[3,4,5,6,7,9,2,1,8]=>[8,1,2,9,7,6,5,4,3]
[3,4,5,6,9,2,1,7,8]=>[8,7,1,2,9,6,5,4,3]
[3,4,5,6,1,7,2,9,8]=>[8,9,2,7,1,6,5,4,3]
[1,4,5,9,6,7,2,8,3]=>[3,8,2,7,6,9,5,4,1]
[2,4,5,9,6,1,7,3,8]=>[8,3,7,1,6,9,5,4,2]
[3,4,5,7,6,1,9,2,8]=>[8,2,9,1,6,7,5,4,3]
[3,5,6,9,7,1,8,2,4]=>[4,2,8,1,7,9,6,5,3]
[1,4,8,5,6,2,7,9,3]=>[3,9,7,2,6,5,8,4,1]
[2,5,9,6,7,3,1,4,8]=>[8,4,1,3,7,6,9,5,2]
[4,1,5,2,7,6,3,9,8]=>[8,9,3,6,7,2,5,1,4]
[3,4,1,6,9,5,7,2,8]=>[8,2,7,5,9,6,1,4,3]
[6,7,9,8,1,3,4,2,5]=>[5,2,4,3,1,8,9,7,6]
[9,1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1,9]
[1,7,4,5,2,6,8,9,3]=>[3,9,8,6,2,5,4,7,1]
[9,2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2,9]
[9,2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2,9]
[9,2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2,9]
[9,2,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,2,9]
[9,2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2,9]
[5,2,3,4,1,9,6,8,7]=>[7,8,6,9,1,4,3,2,5]
[4,2,3,1,9,5,7,8,6]=>[6,8,7,5,9,1,3,2,4]
[3,2,1,9,4,6,7,8,5]=>[5,8,7,6,4,9,1,2,3]
[2,1,9,3,5,6,7,8,4]=>[4,8,7,6,5,3,9,1,2]
[3,8,1,2,4,5,6,7,9]=>[9,7,6,5,4,2,1,8,3]
[1,2,8,3,4,5,9,6,7]=>[7,6,9,5,4,3,8,2,1]
[7,8,1,2,3,4,9,5,6]=>[6,5,9,4,3,2,1,8,7]
[3,8,9,1,2,4,5,6,7]=>[7,6,5,4,2,1,9,8,3]
[3,7,1,2,4,5,6,8,9]=>[9,8,6,5,4,2,1,7,3]
[6,8,9,1,2,3,4,5,7]=>[7,5,4,3,2,1,9,8,6]
[6,1,8,2,3,4,5,7,9]=>[9,7,5,4,3,2,8,1,6]
[5,8,1,2,3,4,6,7,9]=>[9,7,6,4,3,2,1,8,5]
[5,8,9,1,2,3,4,6,7]=>[7,6,4,3,2,1,9,8,5]
[2,3,4,5,1,7,6,9,8]=>[8,9,6,7,1,5,4,3,2]
[2,3,4,1,6,5,8,7,9]=>[9,7,8,5,6,1,4,3,2]
[2,3,4,5,1,8,6,9,7]=>[7,9,6,8,1,5,4,3,2]
[2,3,4,1,7,5,8,6,9]=>[9,6,8,5,7,1,4,3,2]
[3,4,5,6,7,9,1,8,2]=>[2,8,1,9,7,6,5,4,3]
[3,4,5,6,7,9,2,8,1]=>[1,8,2,9,7,6,5,4,3]
[3,4,5,6,7,1,9,8,2]=>[2,8,9,1,7,6,5,4,3]
[5,3,4,2,1,9,8,7,6]=>[6,7,8,9,1,2,4,3,5]
[6,5,3,4,2,1,9,8,7]=>[7,8,9,1,2,4,3,5,6]
[7,6,4,5,3,2,1,9,8]=>[8,9,1,2,3,5,4,6,7]
[8,7,2,3,4,5,6,1,9]=>[9,1,6,5,4,3,2,7,8]
[1,9,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,9,1]
[8,1,7,3,4,5,6,2,9]=>[9,2,6,5,4,3,7,1,8]
[8,6,2,3,4,5,1,7,9]=>[9,7,1,5,4,3,2,6,8]
[1,9,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,9,1]
[1,9,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,9,1]
[3,4,5,1,2,6,7,8,9]=>[9,8,7,6,2,1,5,4,3]
[2,4,1,5,3,6,8,7,9]=>[9,7,8,6,3,5,1,4,2]
[2,4,1,7,3,8,5,6,9]=>[9,6,5,8,3,7,1,4,2]
[9,6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6,9]
[9,8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8,9]
[9,1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1,9]
[9,1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1,9]
[9,1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1,9]
[9,1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1,9]
[9,1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1,9]
[9,1,2,3,6,8,5,7,4]=>[4,7,5,8,6,3,2,1,9]
[9,1,2,5,8,4,6,7,3]=>[3,7,6,4,8,5,2,1,9]
[9,1,4,8,3,5,6,7,2]=>[2,7,6,5,3,8,4,1,9]
[9,3,8,2,4,5,6,7,1]=>[1,7,6,5,4,2,8,3,9]
[1,2,3,4,5,9,8,6,7]=>[7,6,8,9,5,4,3,2,1]
[1,2,3,4,9,8,7,5,6]=>[6,5,7,8,9,4,3,2,1]
[1,2,3,9,8,7,6,4,5]=>[5,4,6,7,8,9,3,2,1]
[1,2,9,8,7,6,5,3,4]=>[4,3,5,6,7,8,9,2,1]
[3,4,5,9,2,1,6,7,8]=>[8,7,6,1,2,9,5,4,3]
[3,4,9,2,1,5,6,7,8]=>[8,7,6,5,1,2,9,4,3]
[3,9,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,9,3]
[3,4,5,6,8,9,1,7,2]=>[2,7,1,9,8,6,5,4,3]
[3,4,5,7,8,9,1,6,2]=>[2,6,1,9,8,7,5,4,3]
[3,4,6,7,8,9,1,5,2]=>[2,5,1,9,8,7,6,4,3]
[3,5,6,7,8,9,1,4,2]=>[2,4,1,9,8,7,6,5,3]
[4,5,6,7,8,9,1,3,2]=>[2,3,1,9,8,7,6,5,4]
[3,4,5,6,2,9,1,8,7]=>[7,8,1,9,2,6,5,4,3]
[3,4,5,2,8,9,1,7,6]=>[6,7,1,9,8,2,5,4,3]
[3,4,2,7,8,9,1,6,5]=>[5,6,1,9,8,7,2,4,3]
[3,2,6,7,8,9,1,5,4]=>[4,5,1,9,8,7,6,2,3]
[2,5,6,7,8,9,1,4,3]=>[3,4,1,9,8,7,6,5,2]
[2,3,4,7,5,8,6,9,1]=>[1,9,6,8,5,7,4,3,2]
[3,4,5,8,6,9,2,7,1]=>[1,7,2,9,6,8,5,4,3]
[3,4,7,5,8,1,6,9,2]=>[2,9,6,1,8,5,7,4,3]
[2,3,4,8,5,1,9,6,7]=>[7,6,9,1,5,8,4,3,2]
[4,5,8,1,6,9,7,2,3]=>[3,2,7,9,6,1,8,5,4]
[3,4,5,9,7,2,6,1,8]=>[8,1,6,2,7,9,5,4,3]
[4,7,5,8,1,2,6,9,3]=>[3,9,6,2,1,8,5,7,4]
[6,3,7,4,8,5,2,9,1]=>[1,9,2,5,8,4,7,3,6]
[2,3,6,4,1,8,9,5,7]=>[7,5,9,8,1,4,6,3,2]
[5,8,1,6,9,3,7,2,4]=>[4,2,7,3,9,6,1,8,5]
[7,4,8,5,9,6,2,3,1]=>[1,3,2,6,9,5,8,4,7]
[3,4,7,5,9,2,1,6,8]=>[8,6,1,2,9,5,7,4,3]
[2,3,4,5,1,6,8,7,9]=>[9,7,8,6,1,5,4,3,2]
[5,4,2,3,6,7,8,9,1]=>[1,9,8,7,6,3,2,4,5]
[6,5,4,2,3,7,8,9,1]=>[1,9,8,7,3,2,4,5,6]
[7,6,5,4,2,3,8,9,1]=>[1,9,8,3,2,4,5,6,7]
[1,2,8,9,7,6,5,4,3]=>[3,4,5,6,7,9,8,2,1]
[1,7,6,5,4,3,2,8,9]=>[9,8,2,3,4,5,6,7,1]
[1,2,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,2,1]
[4,6,7,8,9,1,2,3,5]=>[5,3,2,1,9,8,7,6,4]
[5,7,8,9,1,2,3,4,6]=>[6,4,3,2,1,9,8,7,5]
[3,5,6,4,7,2,8,1,9]=>[9,1,8,2,7,4,6,5,3]
[5,3,2,6,7,4,8,1,9]=>[9,1,8,4,7,6,2,3,5]
[5,3,6,2,1,7,8,4,9]=>[9,4,8,7,1,2,6,3,5]
[6,4,7,3,8,2,9,1,5]=>[5,1,9,2,8,3,7,4,6]
[6,4,7,3,8,2,5,9,1]=>[1,9,5,2,8,3,7,4,6]
[6,4,7,3,5,8,2,9,1]=>[1,9,2,8,5,3,7,4,6]
[6,4,5,7,3,8,2,9,1]=>[1,9,2,8,3,7,5,4,6]
[2,4,3,6,7,5,8,1,9]=>[9,1,8,5,7,6,3,4,2]
[4,2,1,5,3,7,8,6,9]=>[9,6,8,7,3,5,1,2,4]
[5,3,6,2,1,7,9,4,8]=>[8,4,9,7,1,2,6,3,5]
[5,3,6,2,7,1,4,8,9]=>[9,8,4,1,7,2,6,3,5]
[6,4,7,3,5,8,9,1,2]=>[2,1,9,8,5,3,7,4,6]
[6,4,5,7,8,2,3,9,1]=>[1,9,3,2,8,7,5,4,6]
[5,6,7,3,4,8,2,9,1]=>[1,9,2,8,4,3,7,6,5]
[7,5,1,3,2,6,4,8,9]=>[9,8,4,6,2,3,1,5,7]
[9,6,1,3,4,2,7,8,5]=>[5,8,7,2,4,3,1,6,9]
[8,3,6,1,4,2,7,5,9]=>[9,5,7,2,4,1,6,3,8]
[9,8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8,9]
[9,3,4,7,1,5,2,8,6]=>[6,8,2,5,1,7,4,3,9]
[8,7,5,4,6,3,2,9,1]=>[1,9,2,3,6,4,5,7,8]
[8,7,4,6,5,3,2,9,1]=>[1,9,2,3,5,6,4,7,8]
[2,3,4,7,8,9,6,5,1]=>[1,5,6,9,8,7,4,3,2]
[2,3,6,7,8,9,5,4,1]=>[1,4,5,9,8,7,6,3,2]
[2,5,6,7,8,9,4,3,1]=>[1,3,4,9,8,7,6,5,2]
[2,3,4,5,6,1,9,8,7]=>[7,8,9,1,6,5,4,3,2]
[2,3,4,5,1,9,8,7,6]=>[6,7,8,9,1,5,4,3,2]
[2,3,4,1,8,9,7,6,5]=>[5,6,7,9,8,1,4,3,2]
[2,3,1,7,8,9,6,5,4]=>[4,5,6,9,8,7,1,3,2]
[2,1,6,7,8,9,5,4,3]=>[3,4,5,9,8,7,6,1,2]
[9,3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3,9]
[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]
[8,6,7,5,4,3,2,1,9]=>[9,1,2,3,4,5,7,6,8]
[8,7,9,6,5,4,3,1,2]=>[2,1,3,4,5,6,9,7,8]
[9,7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7,9]
[8,7,5,4,3,6,9,2,1]=>[1,2,9,6,3,4,5,7,8]
[8,7,6,9,5,3,4,2,1]=>[1,2,4,3,5,9,6,7,8]
[8,7,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,7,8]
[3,2,1,5,6,7,8,9,4]=>[4,9,8,7,6,5,1,2,3]
[3,2,6,1,4,7,8,9,5]=>[5,9,8,7,4,1,6,2,3]
[4,3,2,1,6,7,8,9,5]=>[5,9,8,7,6,1,2,3,4]
[3,2,7,8,1,4,5,9,6]=>[6,9,5,4,1,8,7,2,3]
[4,7,2,5,1,3,8,9,6]=>[6,9,8,3,1,5,2,7,4]
[4,3,2,7,1,5,8,9,6]=>[6,9,8,5,1,7,2,3,4]
[5,4,3,2,1,7,8,9,6]=>[6,9,8,7,1,2,3,4,5]
[4,3,2,8,9,1,5,6,7]=>[7,6,5,1,9,8,2,3,4]
[8,5,6,3,4,1,2,9,7]=>[7,9,2,1,4,3,6,5,8]
[5,3,8,2,6,1,4,9,7]=>[7,9,4,1,6,2,8,3,5]
[5,4,3,2,8,1,6,9,7]=>[7,9,6,1,8,2,3,4,5]
[6,5,4,3,2,1,8,9,7]=>[7,9,8,1,2,3,4,5,6]
[6,9,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,9,6]
[6,4,3,9,2,7,1,5,8]=>[8,5,1,7,2,9,3,4,6]
[6,5,4,3,2,9,1,7,8]=>[8,7,1,9,2,3,4,5,6]
[7,6,9,5,4,3,2,1,8]=>[8,1,2,3,4,5,9,6,7]
[2,3,4,9,6,7,8,5,1]=>[1,5,8,7,6,9,4,3,2]
[2,3,9,5,6,7,8,4,1]=>[1,4,8,7,6,5,9,3,2]
[2,9,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,9,2]
[9,3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3,9]
[2,3,4,1,9,7,8,6,5]=>[5,6,8,7,9,1,4,3,2]
[2,3,1,9,6,7,8,5,4]=>[4,5,8,7,6,9,1,3,2]
[2,1,9,5,6,7,8,4,3]=>[3,4,8,7,6,5,9,1,2]
[1,9,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,9,1]
[5,6,4,7,3,9,1,8,2]=>[2,8,1,9,3,7,4,6,5]
[5,6,4,9,1,8,2,7,3]=>[3,7,2,8,1,9,4,6,5]
[5,9,1,8,2,7,3,6,4]=>[4,6,3,7,2,8,1,9,5]
[9,1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1,9]
[5,4,9,1,8,2,7,3,6]=>[6,3,7,2,8,1,9,4,5]
[5,4,6,3,9,1,8,2,7]=>[7,2,8,1,9,3,6,4,5]
[5,4,6,3,7,2,9,1,8]=>[8,1,9,2,7,3,6,4,5]
[5,6,4,8,2,9,1,7,3]=>[3,7,1,9,2,8,4,6,5]
[5,7,3,9,1,8,2,6,4]=>[4,6,2,8,1,9,3,7,5]
[6,4,9,1,8,2,7,3,5]=>[5,3,7,2,8,1,9,4,6]
[4,5,9,1,8,2,7,3,6]=>[6,3,7,2,8,1,9,5,4]
[6,4,5,3,9,1,8,2,7]=>[7,2,8,1,9,3,5,4,6]
[5,4,7,3,6,2,9,1,8]=>[8,1,9,2,6,3,7,4,5]
[5,4,3,2,1,8,9,7,6]=>[6,7,9,8,1,2,3,4,5]
[4,3,2,1,8,9,7,6,5]=>[5,6,7,9,8,1,2,3,4]
[3,2,1,8,9,7,6,5,4]=>[4,5,6,7,9,8,1,2,3]
[2,1,8,9,7,6,5,4,3]=>[3,4,5,6,7,9,8,1,2]
[9,8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8,9]
[9,8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8,9]
[9,4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4,9]
[9,3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3,9]
[7,2,9,8,3,4,5,6,1]=>[1,6,5,4,3,8,9,2,7]
[9,8,2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2,8,9]
[9,5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5,9]
[8,3,9,4,5,6,7,2,1]=>[1,2,7,6,5,4,9,3,8]
[9,3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3,9]
[5,8,7,6,4,3,2,1,9]=>[9,1,2,3,4,6,7,8,5]
[5,8,9,7,6,4,3,2,1]=>[1,2,3,4,6,7,9,8,5]
[1,7,4,2,8,5,3,9,6]=>[6,9,3,5,8,2,4,7,1]
[1,9,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,9,1]
[1,9,6,3,7,4,2,8,5]=>[5,8,2,4,7,3,6,9,1]
[1,6,2,7,3,8,4,9,5]=>[5,9,4,8,3,7,2,6,1]
[1,9,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,9,1]
[1,8,4,7,3,6,2,9,5]=>[5,9,2,6,3,7,4,8,1]
[1,9,5,2,8,4,7,3,6]=>[6,3,7,4,8,2,5,9,1]
[1,9,5,2,8,4,6,3,7]=>[7,3,6,4,8,2,5,9,1]
[1,9,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,9,1]
[1,8,3,5,7,2,9,4,6]=>[6,4,9,2,7,5,3,8,1]
[1,9,4,6,2,8,3,5,7]=>[7,5,3,8,2,6,4,9,1]
[1,9,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,9,1]
[1,9,4,5,6,2,8,3,7]=>[7,3,8,2,6,5,4,9,1]
[1,9,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,9,1]
[1,9,3,8,2,7,4,5,6]=>[6,5,4,7,2,8,3,9,1]
[1,9,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,9,1]
[1,8,2,9,3,6,5,4,7]=>[7,4,5,6,3,9,2,8,1]
[1,9,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,9,1]
[1,9,3,7,2,8,4,6,5]=>[5,6,4,8,2,7,3,9,1]
[1,9,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,9,1]
[1,9,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,9,1]
[6,7,1,9,2,3,4,5,8]=>[8,5,4,3,2,9,1,7,6]
[6,1,8,9,2,3,4,5,7]=>[7,5,4,3,2,9,8,1,6]
[3,4,5,6,2,1,7,8,9]=>[9,8,7,1,2,6,5,4,3]
[3,4,5,2,1,6,7,8,9]=>[9,8,7,6,1,2,5,4,3]
[3,4,5,8,9,1,2,6,7]=>[7,6,2,1,9,8,5,4,3]
[3,4,7,8,9,1,2,5,6]=>[6,5,2,1,9,8,7,4,3]
[3,6,7,8,9,1,2,4,5]=>[5,4,2,1,9,8,7,6,3]
[3,4,5,6,1,7,2,8,9]=>[9,8,2,7,1,6,5,4,3]
[3,4,5,1,6,2,7,8,9]=>[9,8,7,2,6,1,5,4,3]
[3,4,1,5,9,2,6,7,8]=>[8,7,6,2,9,5,1,4,3]
[1,3,7,8,9,2,4,5,6]=>[6,5,4,2,9,8,7,3,1]
[2,6,7,8,9,1,3,4,5]=>[5,4,3,1,9,8,7,6,2]
[8,5,1,2,3,4,9,6,7]=>[7,6,9,4,3,2,1,5,8]
[8,2,1,9,3,4,5,6,7]=>[7,6,5,4,3,9,1,2,8]
[8,6,1,2,3,4,9,5,7]=>[7,5,9,4,3,2,1,6,8]
[9,5,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,5,9]
[8,6,5,1,2,3,4,9,7]=>[7,9,4,3,2,1,5,6,8]
[8,5,4,1,2,3,9,6,7]=>[7,6,9,3,2,1,4,5,8]
[8,3,1,9,2,4,5,6,7]=>[7,6,5,4,2,9,1,3,8]
[9,4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4,9]
[8,3,2,1,9,4,5,6,7]=>[7,6,5,4,9,1,2,3,8]
[6,1,5,2,4,3,7,8,9]=>[9,8,7,3,4,2,5,1,6]
[2,5,1,4,3,6,7,8,9]=>[9,8,7,6,3,4,1,5,2]
[8,1,7,2,6,3,5,4,9]=>[9,4,5,3,6,2,7,1,8]
[2,7,1,6,3,5,4,8,9]=>[9,8,4,5,3,6,1,7,2]
[3,4,6,1,5,2,7,8,9]=>[9,8,7,2,5,1,6,4,3]
[3,2,6,1,5,4,7,8,9]=>[9,8,7,4,5,1,6,2,3]
[2,9,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,9,2]
[3,4,8,1,7,2,6,5,9]=>[9,5,6,2,7,1,8,4,3]
[3,2,8,1,7,4,6,5,9]=>[9,5,6,4,7,1,8,2,3]
[5,7,2,4,1,6,3,8,9]=>[9,8,3,6,1,4,2,7,5]
[3,4,2,7,1,6,5,8,9]=>[9,8,5,6,1,7,2,4,3]
[4,3,5,2,6,1,7,8,9]=>[9,8,7,1,6,2,5,3,4]
[4,5,6,9,1,8,2,7,3]=>[3,7,2,8,1,9,6,5,4]
[5,9,2,4,1,8,3,7,6]=>[6,7,3,8,1,4,2,9,5]
[3,4,2,9,1,8,5,7,6]=>[6,7,5,8,1,9,2,4,3]
[6,3,5,4,8,1,7,2,9]=>[9,2,7,1,8,4,5,3,6]
[3,6,8,2,5,1,7,4,9]=>[9,4,7,1,5,2,8,6,3]
[4,3,5,2,8,1,7,6,9]=>[9,6,7,1,8,2,5,3,4]
[4,5,3,6,2,7,1,8,9]=>[9,8,1,7,2,6,3,5,4]
[4,7,2,9,5,6,1,8,3]=>[3,8,1,6,5,9,2,7,4]
[4,3,7,9,2,6,1,8,5]=>[5,8,1,6,2,9,7,3,4]
[4,5,3,6,2,9,1,8,7]=>[7,8,1,9,2,6,3,5,4]
[1,9,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,9,1]
[1,9,7,5,4,3,2,6,8]=>[8,6,2,3,4,5,7,9,1]
[1,8,6,4,3,2,5,9,7]=>[7,9,5,2,3,4,6,8,1]
[1,9,7,5,3,2,4,8,6]=>[6,8,4,2,3,5,7,9,1]
[1,9,7,5,3,8,6,4,2]=>[2,4,6,8,3,5,7,9,1]
[1,6,9,7,8,5,4,3,2]=>[2,3,4,5,8,7,9,6,1]
[1,5,9,7,4,3,2,6,8]=>[8,6,2,3,4,7,9,5,1]
[1,4,8,6,3,2,5,9,7]=>[7,9,5,2,3,6,8,4,1]
[1,3,9,7,5,2,4,8,6]=>[6,8,4,2,5,7,9,3,1]
[1,2,9,7,5,3,8,6,4]=>[4,6,8,3,5,7,9,2,1]
[1,9,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,9,1]
[1,9,7,4,3,2,5,6,8]=>[8,6,5,2,3,4,7,9,1]
[1,8,6,3,2,4,5,9,7]=>[7,9,5,4,2,3,6,8,1]
[1,5,6,9,7,8,4,3,2]=>[2,3,4,8,7,9,6,5,1]
[1,9,7,5,2,3,4,8,6]=>[6,8,4,3,2,5,7,9,1]
[1,4,5,9,7,3,2,6,8]=>[8,6,2,3,7,9,5,4,1]
[1,9,7,5,2,3,8,6,4]=>[4,6,8,3,2,5,7,9,1]
[1,3,4,8,6,2,5,9,7]=>[7,9,5,2,6,8,4,3,1]
[1,2,3,9,7,5,4,8,6]=>[6,8,4,5,7,9,3,2,1]
[1,3,5,7,2,8,4,9,6]=>[6,9,4,8,2,7,5,3,1]
[1,3,5,6,2,7,4,9,8]=>[8,9,4,7,2,6,5,3,1]
[1,3,4,5,2,7,6,9,8]=>[8,9,6,7,2,5,4,3,1]
[3,5,7,1,2,4,6,9,8]=>[8,9,6,4,2,1,7,5,3]
[3,5,7,8,1,9,2,4,6]=>[6,4,2,9,1,8,7,5,3]
[3,5,6,7,1,8,2,9,4]=>[4,9,2,8,1,7,6,5,3]
[7,1,2,3,4,9,6,8,5]=>[5,8,6,9,4,3,2,1,7]
[7,1,2,3,4,8,6,9,5]=>[5,9,6,8,4,3,2,1,7]
[8,1,2,3,9,5,6,7,4]=>[4,7,6,5,9,3,2,1,8]
[7,1,2,3,9,5,6,8,4]=>[4,8,6,5,9,3,2,1,7]
[7,1,2,3,8,5,6,9,4]=>[4,9,6,5,8,3,2,1,7]
[6,1,2,3,8,5,9,7,4]=>[4,7,9,5,8,3,2,1,6]
[6,1,2,3,7,5,8,9,4]=>[4,9,8,5,7,3,2,1,6]
[6,1,2,8,4,5,9,7,3]=>[3,7,9,5,4,8,2,1,6]
[6,1,2,7,4,5,8,9,3]=>[3,9,8,5,4,7,2,1,6]
[5,1,2,7,4,9,6,8,3]=>[3,8,6,9,4,7,2,1,5]
[5,1,2,7,4,8,6,9,3]=>[3,9,6,8,4,7,2,1,5]
[5,1,2,6,4,7,8,9,3]=>[3,9,8,7,4,6,2,1,5]
[4,1,6,3,8,5,9,7,2]=>[2,7,9,5,8,3,6,1,4]
[4,1,6,3,7,5,8,9,2]=>[2,9,8,5,7,3,6,1,4]
[4,1,5,3,6,7,8,9,2]=>[2,9,8,7,6,3,5,1,4]
[1,9,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,9,1]
[1,9,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,9,1]
[1,9,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,9,1]
[1,7,8,6,5,4,3,2,9]=>[9,2,3,4,5,6,8,7,1]
[1,2,3,4,9,7,5,8,6]=>[6,8,5,7,9,4,3,2,1]
[1,2,3,9,6,4,7,8,5]=>[5,8,7,4,6,9,3,2,1]
[1,2,9,5,3,6,7,8,4]=>[4,8,7,6,3,5,9,2,1]
[1,9,4,2,5,6,7,8,3]=>[3,8,7,6,5,2,4,9,1]
[8,9,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,9,8]
[7,8,9,2,3,4,5,1,6]=>[6,1,5,4,3,2,9,8,7]
[6,7,8,9,2,3,4,1,5]=>[5,1,4,3,2,9,8,7,6]
[5,6,7,8,9,2,3,1,4]=>[4,1,3,2,9,8,7,6,5]
[7,8,9,2,3,4,1,5,6]=>[6,5,1,4,3,2,9,8,7]
[6,7,8,9,2,3,1,4,5]=>[5,4,1,3,2,9,8,7,6]
[4,5,6,7,8,1,9,2,3]=>[3,2,9,1,8,7,6,5,4]
[7,9,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,9,7]
[3,8,1,4,5,6,7,2,9]=>[9,2,7,6,5,4,1,8,3]
[6,9,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,9,6]
[4,5,6,7,8,2,9,1,3]=>[3,1,9,2,8,7,6,5,4]
[4,5,6,7,8,2,1,3,9]=>[9,3,1,2,8,7,6,5,4]
[3,4,5,6,1,7,8,2,9]=>[9,2,8,7,1,6,5,4,3]
[5,6,7,8,9,3,1,2,4]=>[4,2,1,3,9,8,7,6,5]
[4,5,6,7,2,8,9,1,3]=>[3,1,9,8,2,7,6,5,4]
[2,8,7,6,5,4,3,1,9]=>[9,1,3,4,5,6,7,8,2]
[2,1,4,9,8,7,6,5,3]=>[3,5,6,7,8,9,4,1,2]
[3,7,6,5,4,2,1,9,8]=>[8,9,1,2,4,5,6,7,3]
[3,2,1,6,9,8,7,5,4]=>[4,5,7,8,9,6,1,2,3]
[4,6,5,3,2,1,9,8,7]=>[7,8,9,1,2,3,5,6,4]
[2,9,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,9,2]
[1,4,7,2,8,3,5,9,6]=>[6,9,5,3,8,2,7,4,1]
[1,2,7,3,8,4,5,9,6]=>[6,9,5,4,8,3,7,2,1]
[1,4,5,7,8,2,3,9,6]=>[6,9,3,2,8,7,5,4,1]
[1,2,5,7,8,3,4,9,6]=>[6,9,4,3,8,7,5,2,1]
[1,2,3,7,8,4,5,9,6]=>[6,9,5,4,8,7,3,2,1]
[1,4,7,2,3,5,8,9,6]=>[6,9,8,5,3,2,7,4,1]
[1,2,7,3,4,5,8,9,6]=>[6,9,8,5,4,3,7,2,1]
[1,4,5,7,2,3,8,9,6]=>[6,9,8,3,2,7,5,4,1]
[1,2,5,7,3,4,8,9,6]=>[6,9,8,4,3,7,5,2,1]
[1,2,3,7,4,5,8,9,6]=>[6,9,8,5,4,7,3,2,1]
[1,4,5,6,2,7,8,9,3]=>[3,9,8,7,2,6,5,4,1]
[1,2,5,6,3,7,8,9,4]=>[4,9,8,7,3,6,5,2,1]
[7,8,1,9,2,3,4,5,6]=>[6,5,4,3,2,9,1,8,7]
[6,7,8,1,9,2,3,4,5]=>[5,4,3,2,9,1,8,7,6]
[5,6,7,8,1,9,2,3,4]=>[4,3,2,9,1,8,7,6,5]
[9,1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1,9]
[2,1,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,1,2]
[7,2,6,5,4,3,1,9,8]=>[8,9,1,3,4,5,6,2,7]
[3,2,1,9,5,8,7,6,4]=>[4,6,7,8,5,9,1,2,3]
[6,3,5,4,2,1,9,8,7]=>[7,8,9,1,2,4,5,3,6]
[4,3,2,1,9,7,8,6,5]=>[5,6,8,7,9,1,2,3,4]
[1,2,3,4,6,7,8,5,9]=>[9,5,8,7,6,4,3,2,1]
[9,1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1,9]
[9,1,2,3,8,5,6,4,7]=>[7,4,6,5,8,3,2,1,9]
[8,1,2,9,4,5,6,3,7]=>[7,3,6,5,4,9,2,1,8]
[9,1,8,3,4,5,6,2,7]=>[7,2,6,5,4,3,8,1,9]
[7,1,2,3,4,9,5,8,6]=>[6,8,5,9,4,3,2,1,7]
[6,1,2,3,8,4,5,9,7]=>[7,9,5,4,8,3,2,1,6]
[5,1,2,8,3,4,6,9,7]=>[7,9,6,4,3,8,2,1,5]
[4,1,9,2,3,5,6,8,7]=>[7,8,6,5,3,2,9,1,4]
[3,8,1,2,4,5,6,9,7]=>[7,9,6,5,4,2,1,8,3]
[8,2,1,3,4,5,6,9,7]=>[7,9,6,5,4,3,1,2,8]
[9,1,2,3,8,5,4,7,6]=>[6,7,4,5,8,3,2,1,9]
[9,1,2,8,4,3,6,7,5]=>[5,7,6,3,4,8,2,1,9]
[6,1,2,3,9,4,7,8,5]=>[5,8,7,4,9,3,2,1,6]
[8,1,9,3,2,5,6,7,4]=>[4,7,6,5,2,3,9,1,8]
[5,1,2,8,3,6,4,9,7]=>[7,9,4,6,3,8,2,1,5]
[9,8,2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2,8,9]
[4,1,8,2,5,3,6,9,7]=>[7,9,6,3,5,2,8,1,4]
[8,1,9,2,3,4,5,7,6]=>[6,7,5,4,3,2,9,1,8]
[3,9,1,4,2,5,6,8,7]=>[7,8,6,5,2,4,1,9,3]
[8,2,3,1,4,5,6,9,7]=>[7,9,6,5,4,1,3,2,8]
[2,3,4,5,7,8,1,9,6]=>[6,9,1,8,7,5,4,3,2]
[1,3,4,5,2,6,7,8,9]=>[9,8,7,6,2,5,4,3,1]
[2,3,4,5,7,9,1,6,8]=>[8,6,1,9,7,5,4,3,2]
[2,3,4,5,1,6,7,9,8]=>[8,9,7,6,1,5,4,3,2]
[4,5,6,1,7,8,9,2,3]=>[3,2,9,8,7,1,6,5,4]
[2,1,4,5,3,6,7,8,9]=>[9,8,7,6,3,5,4,1,2]
[1,3,2,5,4,6,7,8,9]=>[9,8,7,6,4,5,2,3,1]
[2,3,4,5,9,8,6,7,1]=>[1,7,6,8,9,5,4,3,2]
[2,3,4,9,7,5,8,6,1]=>[1,6,8,5,7,9,4,3,2]
[2,3,9,6,4,7,8,5,1]=>[1,5,8,7,4,6,9,3,2]
[2,9,5,3,6,7,8,4,1]=>[1,4,8,7,6,3,5,9,2]
[9,4,2,5,6,7,8,3,1]=>[1,3,8,7,6,5,2,4,9]
[4,1,6,2,8,3,5,7,9]=>[9,7,5,3,8,2,6,1,4]
[4,1,6,2,8,3,9,5,7]=>[7,5,9,3,8,2,6,1,4]
[4,1,6,2,7,3,8,5,9]=>[9,5,8,3,7,2,6,1,4]
[8,7,9,1,4,5,6,2,3]=>[3,2,6,5,4,1,9,7,8]
[7,6,9,1,4,5,2,8,3]=>[3,8,2,5,4,1,9,6,7]
[3,4,5,1,6,2,8,9,7]=>[7,9,8,2,6,1,5,4,3]
[3,4,1,5,2,7,8,9,6]=>[6,9,8,7,2,5,1,4,3]
[3,1,4,2,6,7,8,9,5]=>[5,9,8,7,6,2,4,1,3]
[1,3,2,5,6,7,8,9,4]=>[4,9,8,7,6,5,2,3,1]
[2,9,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,9,2]
[3,9,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,9,3]
[2,3,4,5,6,9,7,1,8]=>[8,1,7,9,6,5,4,3,2]
[2,3,4,5,8,6,9,1,7]=>[7,1,9,6,8,5,4,3,2]
[2,3,4,7,5,8,9,1,6]=>[6,1,9,8,5,7,4,3,2]
[2,3,6,4,7,8,9,1,5]=>[5,1,9,8,7,4,6,3,2]
[2,5,3,6,7,8,9,1,4]=>[4,1,9,8,7,6,3,5,2]
[4,5,8,1,2,3,6,9,7]=>[7,9,6,3,2,1,8,5,4]
[5,8,1,2,3,6,9,4,7]=>[7,4,9,6,3,2,1,8,5]
[4,5,8,1,2,6,9,3,7]=>[7,3,9,6,2,1,8,5,4]
[3,4,5,8,1,6,9,2,7]=>[7,2,9,6,1,8,5,4,3]
[1,3,5,2,4,6,7,8,9]=>[9,8,7,6,4,2,5,3,1]
[4,1,2,3,5,6,8,7,9]=>[9,7,8,6,5,3,2,1,4]
[1,2,4,7,3,5,6,8,9]=>[9,8,6,5,3,7,4,2,1]
[5,1,2,3,4,7,6,8,9]=>[9,8,6,7,4,3,2,1,5]
[5,6,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,6,5]
[4,5,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,5,4]
[6,7,4,3,2,1,5,8,9]=>[9,8,5,1,2,3,4,7,6]
[5,6,4,3,2,7,1,8,9]=>[9,8,1,7,2,3,4,6,5]
[7,5,4,3,1,2,6,8,9]=>[9,8,6,2,1,3,4,5,7]
[6,5,4,3,7,1,2,8,9]=>[9,8,2,1,7,3,4,5,6]
[6,7,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,7,6]
[7,6,8,9,5,4,3,2,1]=>[1,2,3,4,5,9,8,6,7]
[6,7,5,9,8,4,3,2,1]=>[1,2,3,4,8,9,5,7,6]
[5,7,9,8,6,4,3,2,1]=>[1,2,3,4,6,8,9,7,5]
[7,6,8,5,9,4,3,2,1]=>[1,2,3,4,9,5,8,6,7]
[6,5,8,9,7,4,3,2,1]=>[1,2,3,4,7,9,8,5,6]
[8,1,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,1,8]
[3,2,9,8,7,6,5,1,4]=>[4,1,5,6,7,8,9,2,3]
[7,6,4,3,5,2,1,9,8]=>[8,9,1,2,5,3,4,6,7]
[7,6,3,5,4,2,1,9,8]=>[8,9,1,2,4,5,3,6,7]
[9,8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8,9]
[9,8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8,9]
[9,8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8,9]
[9,8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8,9]
[9,8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8,9]
[9,8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8,9]
[9,3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3,9]
[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]
[9,8,4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4,8,9]
[9,8,3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3,8,9]
[9,3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3,9]
[9,2,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,2,9]
[2,1,8,3,9,4,5,6,7]=>[7,6,5,4,9,3,8,1,2]
[2,1,7,9,3,4,5,6,8]=>[8,6,5,4,3,9,7,1,2]
[4,2,1,3,6,5,8,7,9]=>[9,7,8,5,6,3,1,2,4]
[6,2,4,1,3,5,8,7,9]=>[9,7,8,5,3,1,4,2,6]
[8,2,4,1,6,3,5,7,9]=>[9,7,5,3,6,1,4,2,8]
[9,2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2,9]
[7,2,4,1,6,3,5,9,8]=>[8,9,5,3,6,1,4,2,7]
[5,2,4,1,3,7,6,9,8]=>[8,9,6,7,3,1,4,2,5]
[6,2,1,4,3,5,8,7,9]=>[9,7,8,5,3,4,1,2,6]
[8,2,4,1,3,6,5,7,9]=>[9,7,5,6,3,1,4,2,8]
[9,2,4,1,6,3,5,8,7]=>[7,8,5,3,6,1,4,2,9]
[7,2,4,1,6,3,5,8,9]=>[9,8,5,3,6,1,4,2,7]
[5,2,4,1,3,9,8,6,7]=>[7,6,8,9,3,1,4,2,5]
[3,2,1,7,6,4,5,9,8]=>[8,9,5,4,6,7,1,2,3]
[1,5,4,2,3,7,6,9,8]=>[8,9,6,7,3,2,4,5,1]
[9,2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2,9]
[3,2,4,5,1,6,7,8,9]=>[9,8,7,6,1,5,4,2,3]
[9,8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8,9]
[9,8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8,9]
[9,8,4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4,8,9]
[9,8,3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3,8,9]
[9,8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8,9]
[9,8,4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4,8,9]
[9,1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1,9]
[9,1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1,9]
[8,1,2,3,9,4,5,7,6]=>[6,7,5,4,9,3,2,1,8]
[8,1,2,9,3,4,6,5,7]=>[7,5,6,4,3,9,2,1,8]
[9,1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1,9]
[9,1,8,2,3,5,4,6,7]=>[7,6,4,5,3,2,8,1,9]
[8,1,2,5,3,6,4,9,7]=>[7,9,4,6,3,5,2,1,8]
[8,9,1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1,9,8]
[8,1,4,2,5,3,6,9,7]=>[7,9,6,3,5,2,4,1,8]
[8,1,9,3,2,4,5,6,7]=>[7,6,5,4,2,3,9,1,8]
[9,3,1,4,2,5,6,8,7]=>[7,8,6,5,2,4,1,3,9]
[9,8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8,9]
[9,8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8,9]
[9,8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8,9]
[9,1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1,9]
[9,8,7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7,8,9]
[9,8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8,9]
[2,1,9,3,4,5,6,8,7]=>[7,8,6,5,4,3,9,1,2]
[1,4,8,2,3,5,6,9,7]=>[7,9,6,5,3,2,8,4,1]
[7,1,3,4,5,8,6,9,2]=>[2,9,6,8,5,4,3,1,7]
[4,1,5,9,2,3,6,8,7]=>[7,8,6,3,2,9,5,1,4]
[3,8,9,1,2,4,6,5,7]=>[7,5,6,4,2,1,9,8,3]
[1,4,5,8,2,3,6,9,7]=>[7,9,6,3,2,8,5,4,1]
[1,2,8,3,4,7,5,9,6]=>[6,9,5,7,4,3,8,2,1]
[6,1,3,4,7,5,8,9,2]=>[2,9,8,5,7,4,3,1,6]
[4,1,5,6,9,2,3,8,7]=>[7,8,3,2,9,6,5,1,4]
[3,1,2,9,4,5,8,7,6]=>[6,7,8,5,4,9,2,1,3]
[3,7,9,1,2,5,4,6,8]=>[8,6,4,5,2,1,9,7,3]
[8,9,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,9,8]
[7,8,9,1,3,4,5,6,2]=>[2,6,5,4,3,1,9,8,7]
[1,8,9,2,4,5,6,7,3]=>[3,7,6,5,4,2,9,8,1]
[9,1,8,2,4,5,6,7,3]=>[3,7,6,5,4,2,8,1,9]
[1,7,8,9,2,4,5,6,3]=>[3,6,5,4,2,9,8,7,1]
[9,1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1,9]
[1,9,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,9,1]
[1,9,2,7,8,3,5,6,4]=>[4,6,5,3,8,7,2,9,1]
[1,2,3,8,9,4,6,7,5]=>[5,7,6,4,9,8,3,2,1]
[9,1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1,9]
[1,2,9,3,8,4,6,7,5]=>[5,7,6,4,8,3,9,2,1]
[1,2,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,2,1]
[6,1,2,9,3,4,5,7,8]=>[8,7,5,4,3,9,2,1,6]
[4,1,2,3,5,9,6,7,8]=>[8,7,6,9,5,3,2,1,4]
[3,1,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,1,3]
[9,8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8,9]
[9,7,8,5,2,3,4,6,1]=>[1,6,4,3,2,5,8,7,9]
[9,8,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,8,9]
[9,7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7,9]
[9,8,6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6,8,9]
[8,7,5,6,9,3,1,2,4]=>[4,2,1,3,9,6,5,7,8]
[9,7,8,4,5,2,3,6,1]=>[1,6,3,2,5,4,8,7,9]
[8,6,7,9,4,2,3,5,1]=>[1,5,3,2,4,9,7,6,8]
[1,3,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,3,1]
[1,2,4,5,6,3,7,8,9]=>[9,8,7,3,6,5,4,2,1]
[1,2,3,5,6,7,8,4,9]=>[9,4,8,7,6,5,3,2,1]
[2,1,5,3,6,7,4,8,9]=>[9,8,4,7,6,3,5,1,2]
[1,3,5,6,4,2,7,8,9]=>[9,8,7,2,4,6,5,3,1]
[3,5,2,1,6,4,7,8,9]=>[9,8,7,4,6,1,2,5,3]
[2,1,3,6,4,7,8,9,5]=>[5,9,8,7,4,6,3,1,2]
[1,3,4,6,7,2,8,5,9]=>[9,5,8,2,7,6,4,3,1]
[3,2,6,1,4,7,8,5,9]=>[9,5,8,7,4,1,6,2,3]
[2,4,6,1,7,5,3,8,9]=>[9,8,3,5,7,1,6,4,2]
[4,6,3,2,1,7,5,8,9]=>[9,8,5,7,1,2,3,6,4]
[2,4,1,7,5,8,3,9,6]=>[6,9,3,8,5,7,1,4,2]
[4,3,7,2,1,5,8,9,6]=>[6,9,8,5,1,2,7,3,4]
[1,3,5,7,8,6,4,2,9]=>[9,2,4,6,8,7,5,3,1]
[3,5,7,2,1,8,6,4,9]=>[9,4,6,8,1,2,7,5,3]
[5,7,4,3,2,1,8,6,9]=>[9,6,8,1,2,3,4,7,5]
[2,4,6,8,1,9,7,5,3]=>[3,5,7,9,1,8,6,4,2]
[4,6,8,3,2,1,9,7,5]=>[5,7,9,1,2,3,8,6,4]
[6,8,5,4,3,2,1,9,7]=>[7,9,1,2,3,4,5,8,6]
[4,5,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,5,4]
[1,5,6,7,4,8,3,9,2]=>[2,9,3,8,4,7,6,5,1]
[4,6,5,3,7,2,8,1,9]=>[9,1,8,2,7,3,5,6,4]
[5,6,4,3,7,2,8,1,9]=>[9,1,8,2,7,3,4,6,5]
[1,5,7,6,4,8,3,9,2]=>[2,9,3,8,4,6,7,5,1]
[1,6,7,5,4,8,3,9,2]=>[2,9,3,8,4,5,7,6,1]
[3,5,6,7,8,9,2,4,1]=>[1,4,2,9,8,7,6,5,3]
[2,4,6,7,8,9,1,3,5]=>[5,3,1,9,8,7,6,4,2]
[2,5,6,7,8,9,3,1,4]=>[4,1,3,9,8,7,6,5,2]
[5,4,6,3,8,1,7,2,9]=>[9,2,7,1,8,3,6,4,5]
[1,6,5,7,4,9,2,8,3]=>[3,8,2,9,4,7,5,6,1]
[5,4,8,1,7,2,6,3,9]=>[9,3,6,2,7,1,8,4,5]
[5,4,8,1,6,3,7,2,9]=>[9,2,7,3,6,1,8,4,5]
[1,6,5,9,2,8,3,7,4]=>[4,7,3,8,2,9,5,6,1]
[1,6,5,9,2,7,4,8,3]=>[3,8,4,7,2,9,5,6,1]
[1,8,2,7,3,5,6,4,9]=>[9,4,6,5,3,7,2,8,1]
[1,8,2,7,3,4,6,5,9]=>[9,5,6,4,3,7,2,8,1]
[1,2,9,3,8,4,5,7,6]=>[6,7,5,4,8,3,9,2,1]
[2,5,6,7,8,1,9,3,4]=>[4,3,9,1,8,7,6,5,2]
[4,5,6,7,1,2,8,3,9]=>[9,3,8,2,1,7,6,5,4]
[1,3,6,7,8,9,2,4,5]=>[5,4,2,9,8,7,6,3,1]
[3,5,6,7,8,1,2,9,4]=>[4,9,2,1,8,7,6,5,3]
[1,3,4,5,6,2,8,9,7]=>[7,9,8,2,6,5,4,3,1]
[1,3,4,2,6,7,8,9,5]=>[5,9,8,7,6,2,4,3,1]
[7,2,3,4,5,1,6,9,8]=>[8,9,6,1,5,4,3,2,7]
[6,2,3,4,1,5,8,9,7]=>[7,9,8,5,1,4,3,2,6]
[5,2,3,9,1,6,7,8,4]=>[4,8,7,6,1,9,3,2,5]
[4,2,1,3,6,7,8,9,5]=>[5,9,8,7,6,3,1,2,4]
[1,3,4,5,8,2,7,9,6]=>[6,9,7,2,8,5,4,3,1]
[7,2,3,4,5,8,9,1,6]=>[6,1,9,8,5,4,3,2,7]
[9,2,3,6,1,5,7,8,4]=>[4,8,7,5,1,6,3,2,9]
[6,2,3,4,7,1,5,9,8]=>[8,9,5,1,7,4,3,2,6]
[1,3,6,2,5,7,8,9,4]=>[4,9,8,7,5,2,6,3,1]
[5,2,3,6,1,4,8,9,7]=>[7,9,8,4,1,6,3,2,5]
[1,5,2,4,6,7,8,9,3]=>[3,9,8,7,6,4,2,5,1]
[4,2,5,9,1,6,7,8,3]=>[3,8,7,6,1,9,5,2,4]
[2,3,4,5,7,6,8,9,1]=>[1,9,8,6,7,5,4,3,2]
[2,3,4,5,7,8,6,9,1]=>[1,9,6,8,7,5,4,3,2]
[2,3,4,5,8,7,6,9,1]=>[1,9,6,7,8,5,4,3,2]
[2,3,4,5,7,9,8,6,1]=>[1,6,8,9,7,5,4,3,2]
[4,5,6,3,7,8,9,2,1]=>[1,2,9,8,7,3,6,5,4]
[7,2,1,4,3,6,5,9,8]=>[8,9,5,6,3,4,1,2,7]
[5,2,1,4,3,7,6,9,8]=>[8,9,6,7,3,4,1,2,5]
[6,2,4,3,1,5,8,7,9]=>[9,7,8,5,1,3,4,2,6]
[8,2,1,4,6,5,3,7,9]=>[9,7,3,5,6,4,1,2,8]
[9,2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2,9]
[7,2,1,4,3,6,5,8,9]=>[9,8,5,6,3,4,1,2,7]
[5,2,1,4,3,9,6,8,7]=>[7,8,6,9,3,4,1,2,5]
[3,2,1,7,4,6,5,9,8]=>[8,9,5,6,4,7,1,2,3]
[1,5,2,4,3,7,6,9,8]=>[8,9,6,7,3,4,2,5,1]
[1,2,3,4,7,9,5,6,8]=>[8,6,5,9,7,4,3,2,1]
[1,2,3,4,6,7,9,5,8]=>[8,5,9,7,6,4,3,2,1]
[1,2,3,4,8,5,6,9,7]=>[7,9,6,5,8,4,3,2,1]
[1,2,3,4,7,8,5,9,6]=>[6,9,5,8,7,4,3,2,1]
[2,5,4,6,3,1,8,7,9]=>[9,7,8,1,3,6,4,5,2]
[2,4,3,7,6,8,5,1,9]=>[9,1,5,8,6,7,3,4,2]
[8,7,9,6,5,4,2,1,3]=>[3,1,2,4,5,6,9,7,8]
[8,9,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,9,8]
[8,9,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,9,8]
[2,3,4,5,8,6,7,9,1]=>[1,9,7,6,8,5,4,3,2]
[2,3,4,5,9,6,8,7,1]=>[1,7,8,6,9,5,4,3,2]
[9,3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3,9]
[7,8,2,3,4,5,1,6,9]=>[9,6,1,5,4,3,2,8,7]
[1,8,9,3,4,5,6,2,7]=>[7,2,6,5,4,3,9,8,1]
[2,1,3,4,5,8,6,7,9]=>[9,7,6,8,5,4,3,1,2]
[9,3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3,9]
[4,9,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,9,4]
[4,2,9,1,8,7,6,5,3]=>[3,5,6,7,8,1,9,2,4]
[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]
[5,2,9,8,1,7,6,4,3]=>[3,4,6,7,1,8,9,2,5]
[5,3,2,9,1,8,7,6,4]=>[4,6,7,8,1,9,2,3,5]
[6,2,9,8,7,1,5,4,3]=>[3,4,5,1,7,8,9,2,6]
[6,9,3,8,7,1,5,4,2]=>[2,4,5,1,7,8,3,9,6]
[6,3,2,9,8,1,7,5,4]=>[4,5,7,1,8,9,2,3,6]
[6,4,9,2,8,1,7,5,3]=>[3,5,7,1,8,2,9,4,6]
[6,4,3,2,9,1,8,7,5]=>[5,7,8,1,9,2,3,4,6]
[7,4,9,2,8,6,1,5,3]=>[3,5,1,6,8,2,9,4,7]
[7,4,3,2,9,8,1,6,5]=>[5,6,1,8,9,2,3,4,7]
[7,5,3,9,2,8,1,6,4]=>[4,6,1,8,2,9,3,5,7]
[7,5,4,3,2,9,1,8,6]=>[6,8,1,9,2,3,4,5,7]
[9,2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2,9]
[7,2,3,4,5,6,9,1,8]=>[8,1,9,6,5,4,3,2,7]
[3,2,9,1,4,5,6,7,8]=>[8,7,6,5,4,1,9,2,3]
[4,5,6,7,8,1,3,9,2]=>[2,9,3,1,8,7,6,5,4]
[4,5,3,6,7,8,9,1,2]=>[2,1,9,8,7,6,3,5,4]
[5,3,4,6,7,8,9,1,2]=>[2,1,9,8,7,6,4,3,5]
[2,1,8,7,9,6,5,4,3]=>[3,4,5,6,9,7,8,1,2]
[2,1,7,9,8,6,5,4,3]=>[3,4,5,6,8,9,7,1,2]
[3,4,9,1,2,5,6,7,8]=>[8,7,6,5,2,1,9,4,3]
[9,3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3,9]
[4,5,6,9,1,2,3,7,8]=>[8,7,3,2,1,9,6,5,4]
[9,4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4,9]
[4,9,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,9,4]
[9,4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4,9]
[9,4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4,9]
[5,9,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,9,5]
[9,5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5,9]
[9,5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5,9]
[9,5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5,9]
[9,5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5,9]
[9,6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6,9]
[9,6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6,9]
[9,6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6,9]
[9,6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6,9]
[2,5,4,3,1,6,7,8,9]=>[9,8,7,6,1,3,4,5,2]
[2,7,6,5,4,3,1,8,9]=>[9,8,1,3,4,5,6,7,2]
[4,3,5,6,2,1,7,8,9]=>[9,8,7,1,2,6,5,3,4]
[3,6,1,5,4,2,7,8,9]=>[9,8,7,2,4,5,1,6,3]
[4,3,7,8,6,5,2,1,9]=>[9,1,2,5,6,8,7,3,4]
[3,8,1,7,6,5,4,2,9]=>[9,2,4,5,6,7,1,8,3]
[5,6,4,2,7,3,1,8,9]=>[9,8,1,3,7,2,4,6,5]
[3,4,7,1,6,5,2,8,9]=>[9,8,2,5,6,1,7,4,3]
[5,8,4,2,9,7,6,3,1]=>[1,3,6,7,9,2,4,8,5]
[3,4,9,1,8,7,6,5,2]=>[2,5,6,7,8,1,9,4,3]
[6,5,8,7,2,1,4,3,9]=>[9,3,4,1,2,7,8,5,6]
[3,6,7,5,2,8,4,1,9]=>[9,1,4,8,2,5,7,6,3]
[4,5,8,1,2,7,6,3,9]=>[9,3,6,7,2,1,8,5,4]
[4,5,6,7,1,2,3,8,9]=>[9,8,3,2,1,7,6,5,4]
[6,7,4,9,8,3,1,5,2]=>[2,5,1,3,8,9,4,7,6]
[4,7,8,1,6,3,9,5,2]=>[2,5,9,3,6,1,8,7,4]
[4,5,6,9,1,2,8,7,3]=>[3,7,8,2,1,9,6,5,4]
[7,5,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,5,7]
[6,4,7,9,1,2,3,5,8]=>[8,5,3,2,1,9,7,4,6]
[5,3,6,7,9,1,2,4,8]=>[8,4,2,1,9,7,6,3,5]
[4,2,5,6,7,9,1,3,8]=>[8,3,1,9,7,6,5,2,4]
[1,2,3,7,4,8,5,9,6]=>[6,9,5,8,4,7,3,2,1]
[1,2,3,4,7,5,9,8,6]=>[6,8,9,5,7,4,3,2,1]
[1,2,6,3,7,4,9,8,5]=>[5,8,9,4,7,3,6,2,1]
[1,2,3,8,6,4,9,7,5]=>[5,7,9,4,6,8,3,2,1]
[1,2,3,6,4,9,8,7,5]=>[5,7,8,9,4,6,3,2,1]
[5,1,6,2,7,3,9,8,4]=>[4,8,9,3,7,2,6,1,5]
[1,5,2,8,6,3,9,7,4]=>[4,7,9,3,6,8,2,5,1]
[1,5,2,6,3,9,8,7,4]=>[4,7,8,9,3,6,2,5,1]
[1,2,7,5,3,9,8,6,4]=>[4,6,8,9,3,5,7,2,1]
[1,2,5,3,9,8,7,6,4]=>[4,6,7,8,9,3,5,2,1]
[4,1,7,5,2,9,8,6,3]=>[3,6,8,9,2,5,7,1,4]
[4,1,5,2,9,8,7,6,3]=>[3,6,7,8,9,2,5,1,4]
[1,6,4,2,9,8,7,5,3]=>[3,5,7,8,9,2,4,6,1]
[1,4,2,9,8,7,6,5,3]=>[3,5,6,7,8,9,2,4,1]
[7,5,3,1,9,8,6,4,2]=>[2,4,6,8,9,1,3,5,7]
[5,3,1,9,8,7,6,4,2]=>[2,4,6,7,8,9,1,3,5]
[1,3,2,5,4,7,9,6,8]=>[8,6,9,7,4,5,2,3,1]
[1,3,2,5,7,4,9,6,8]=>[8,6,9,4,7,5,2,3,1]
[1,2,5,3,7,4,9,6,8]=>[8,6,9,4,7,3,5,2,1]
[2,1,5,3,6,4,9,7,8]=>[8,7,9,4,6,3,5,1,2]
[2,1,4,3,7,5,8,6,9]=>[9,6,8,5,7,3,4,1,2]
[1,9,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,9,1]
[8,1,2,7,3,4,5,6,9]=>[9,6,5,4,3,7,2,1,8]
[8,1,6,2,3,4,5,7,9]=>[9,7,5,4,3,2,6,1,8]
[1,9,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,9,1]
[1,9,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,9,1]
[2,3,5,6,7,1,8,9,4]=>[4,9,8,1,7,6,5,3,2]
[2,3,4,5,8,7,6,1,9]=>[9,1,6,7,8,5,4,3,2]
[1,3,4,5,6,9,8,7,2]=>[2,7,8,9,6,5,4,3,1]
[1,2,3,4,5,8,9,7,6]=>[6,7,9,8,5,4,3,2,1]
[1,2,3,4,8,9,6,7,5]=>[5,7,6,9,8,4,3,2,1]
[1,2,3,8,9,5,6,7,4]=>[4,7,6,5,9,8,3,2,1]
[1,2,8,9,4,5,6,7,3]=>[3,7,6,5,4,9,8,2,1]
[9,4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4,9]
[3,1,6,7,2,4,8,9,5]=>[5,9,8,4,2,7,6,1,3]
[3,1,6,7,2,4,5,8,9]=>[9,8,5,4,2,7,6,1,3]
[3,1,2,6,7,4,5,8,9]=>[9,8,5,4,7,6,2,1,3]
[1,3,2,6,7,4,5,8,9]=>[9,8,5,4,7,6,2,3,1]
[3,6,1,2,4,7,5,8,9]=>[9,8,5,7,4,2,1,6,3]
[3,6,1,2,7,9,4,5,8]=>[8,5,4,9,7,2,1,6,3]
[3,5,1,2,6,9,4,7,8]=>[8,7,4,9,6,2,1,5,3]
[3,1,7,8,2,4,5,6,9]=>[9,6,5,4,2,8,7,1,3]
[3,1,2,6,7,4,8,9,5]=>[5,9,8,4,7,6,2,1,3]
[1,3,6,7,2,4,5,8,9]=>[9,8,5,4,2,7,6,3,1]
[3,1,6,2,4,7,5,8,9]=>[9,8,5,7,4,2,6,1,3]
[3,6,1,7,9,2,4,5,8]=>[8,5,4,2,9,7,1,6,3]
[3,5,1,2,6,7,4,8,9]=>[9,8,4,7,6,2,1,5,3]
[2,6,1,3,7,9,4,5,8]=>[8,5,4,9,7,3,1,6,2]
[1,7,5,3,2,8,6,4,9]=>[9,4,6,8,2,3,5,7,1]
[1,2,8,6,4,3,9,7,5]=>[5,7,9,3,4,6,8,2,1]
[1,7,5,3,8,6,4,2,9]=>[9,2,4,6,8,3,5,7,1]
[1,6,4,2,8,7,5,3,9]=>[9,3,5,7,8,2,4,6,1]
[1,2,8,6,4,9,7,5,3]=>[3,5,7,9,4,6,8,2,1]
[1,4,2,5,6,7,9,8,3]=>[3,8,9,7,6,5,2,4,1]
[2,1,4,5,6,9,7,3,8]=>[8,3,7,9,6,5,4,1,2]
[3,1,5,2,9,6,7,8,4]=>[4,8,7,6,9,2,5,1,3]
[4,5,1,6,8,7,9,2,3]=>[3,2,9,7,8,6,1,5,4]
[2,3,1,5,9,6,7,4,8]=>[8,4,7,6,9,5,1,3,2]
[1,2,4,5,7,9,6,3,8]=>[8,3,6,9,7,5,4,2,1]
[3,4,6,5,7,1,2,9,8]=>[8,9,2,1,7,5,6,4,3]
[3,1,9,4,2,6,7,8,5]=>[5,8,7,6,2,4,9,1,3]
[1,2,5,3,9,6,8,7,4]=>[4,7,8,6,9,3,5,2,1]
[4,5,1,7,6,8,2,9,3]=>[3,9,2,8,6,7,1,5,4]
[4,8,7,6,5,3,2,1,9]=>[9,1,2,3,5,6,7,8,4]
[5,8,7,4,6,3,2,1,9]=>[9,1,2,3,6,4,7,8,5]
[8,4,7,6,5,3,2,1,9]=>[9,1,2,3,5,6,7,4,8]
[6,9,8,5,7,4,1,3,2]=>[2,3,1,4,7,5,8,9,6]
[9,8,7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7,8,9]
[1,2,8,3,4,5,6,9,7]=>[7,9,6,5,4,3,8,2,1]
[1,9,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,9,1]
[1,8,2,9,4,3,5,6,7]=>[7,6,5,3,4,9,2,8,1]
[1,3,2,4,9,8,5,6,7]=>[7,6,5,8,9,4,2,3,1]
[2,1,3,4,5,9,8,6,7]=>[7,6,8,9,5,4,3,1,2]
[9,1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1,9]
[1,8,5,2,3,4,6,9,7]=>[7,9,6,4,3,2,5,8,1]
[9,8,1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1,8,9]
[1,4,2,3,9,5,6,8,7]=>[7,8,6,5,9,3,2,4,1]
[4,9,8,1,2,5,3,6,7]=>[7,6,3,5,2,1,8,9,4]
[1,3,2,4,5,9,6,8,7]=>[7,8,6,9,5,4,2,3,1]
[1,8,3,9,4,2,5,6,7]=>[7,6,5,2,4,9,3,8,1]
[2,3,1,4,9,8,5,6,7]=>[7,6,5,8,9,4,1,3,2]
[8,5,3,4,6,2,7,9,1]=>[1,9,7,2,6,4,3,5,8]
[8,5,3,4,6,7,9,2,1]=>[1,2,9,7,6,4,3,5,8]
[8,5,4,6,3,2,7,9,1]=>[1,9,7,2,3,6,4,5,8]
[8,5,4,6,3,7,9,2,1]=>[1,2,9,7,3,6,4,5,8]
[8,5,4,6,7,9,3,2,1]=>[1,2,3,9,7,6,4,5,8]
[8,7,3,4,5,2,6,9,1]=>[1,9,6,2,5,4,3,7,8]
[8,7,3,4,5,6,9,2,1]=>[1,2,9,6,5,4,3,7,8]
[8,7,4,5,3,2,6,9,1]=>[1,9,6,2,3,5,4,7,8]
[8,7,4,5,3,6,9,2,1]=>[1,2,9,6,3,5,4,7,8]
[8,7,4,5,6,9,3,2,1]=>[1,2,3,9,6,5,4,7,8]
[8,7,6,4,3,2,5,9,1]=>[1,9,5,2,3,4,6,7,8]
[8,7,6,4,3,5,9,2,1]=>[1,2,9,5,3,4,6,7,8]
[8,7,6,5,4,1,9,3,2]=>[2,3,9,1,4,5,6,7,8]
[8,7,6,5,2,9,1,3,4]=>[4,3,1,9,2,5,6,7,8]
[8,7,6,5,1,9,4,3,2]=>[2,3,4,9,1,5,6,7,8]
[9,5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5,9]
[9,3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3,9]
[6,5,4,3,2,1,9,7,8]=>[8,7,9,1,2,3,4,5,6]
[5,4,3,2,1,9,6,8,7]=>[7,8,6,9,1,2,3,4,5]
[4,3,2,1,9,5,8,7,6]=>[6,7,8,5,9,1,2,3,4]
[3,2,1,9,4,8,7,6,5]=>[5,6,7,8,4,9,1,2,3]
[2,1,9,3,8,7,6,5,4]=>[4,5,6,7,8,3,9,1,2]
[6,1,7,2,3,4,5,9,8]=>[8,9,5,4,3,2,7,1,6]
[5,7,1,2,3,4,6,9,8]=>[8,9,6,4,3,2,1,7,5]
[2,1,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,1,2]
[9,8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8,9]
[9,8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8,9]
[2,1,3,9,8,4,5,6,7]=>[7,6,5,4,8,9,3,1,2]
[2,1,3,8,4,5,6,7,9]=>[9,7,6,5,4,8,3,1,2]
[8,7,5,6,4,3,2,1,9]=>[9,1,2,3,4,6,5,7,8]
[8,6,5,7,4,3,2,1,9]=>[9,1,2,3,4,7,5,6,8]
[9,8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8,9]
[9,8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8,9]
[8,5,6,7,4,3,2,1,9]=>[9,1,2,3,4,7,6,5,8]
[6,7,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,7,6]
[8,9,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,9,8]
[7,6,5,3,2,1,4,8,9]=>[9,8,4,1,2,3,5,6,7]
[9,8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8,9]
[9,8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8,9]
[9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9]
[8,9,1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1,9,8]
[9,6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6,9]
[8,3,1,2,9,5,6,7,4]=>[4,7,6,5,9,2,1,3,8]
[9,7,8,1,4,5,6,2,3]=>[3,2,6,5,4,1,8,7,9]
[9,5,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,5,9]
[8,3,1,4,2,9,6,7,5]=>[5,7,6,9,2,4,1,3,8]
[7,8,1,2,9,3,5,6,4]=>[4,6,5,3,9,2,1,8,7]
[9,6,7,1,4,5,2,8,3]=>[3,8,2,5,4,1,7,6,9]
[7,9,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,9,7]
[8,7,6,5,4,2,3,1,9]=>[9,1,3,2,4,5,6,7,8]
[7,9,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,9,7]
[7,9,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,9,7]
[2,9,8,6,5,7,4,3,1]=>[1,3,4,7,5,6,8,9,2]
[7,1,8,2,3,4,5,9,6]=>[6,9,5,4,3,2,8,1,7]
[6,8,1,2,3,4,5,9,7]=>[7,9,5,4,3,2,1,8,6]
[2,7,9,1,3,4,5,6,8]=>[8,6,5,4,3,1,9,7,2]
[9,7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7,9]
[9,7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7,9]
[9,6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6,9]
[8,6,7,4,5,2,3,1,9]=>[9,1,3,2,5,4,7,6,8]
[8,9,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,9,8]
[8,9,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,9,8]
[8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8]
[9,7,8,4,2,3,5,1,6]=>[6,1,5,3,2,4,8,7,9]
[9,6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6,9]
[6,7,8,4,5,2,3,1,9]=>[9,1,3,2,5,4,8,7,6]
[9,8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8,9]
[8,6,7,9,4,2,3,1,5]=>[5,1,3,2,4,9,7,6,8]
[8,9,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,9,8]
[8,9,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,9,8]
[7,5,6,4,2,3,1,8,9]=>[9,8,1,3,2,4,6,5,7]
[6,5,3,4,2,1,7,8,9]=>[9,8,7,1,2,4,3,5,6]
[9,6,8,7,5,2,4,3,1]=>[1,3,4,2,5,7,8,6,9]
[8,6,3,7,5,2,4,1,9]=>[9,1,4,2,5,7,3,6,8]
[7,6,4,3,5,2,1,8,9]=>[9,8,1,2,5,3,4,6,7]
[9,7,4,3,8,6,2,5,1]=>[1,5,2,6,8,3,4,7,9]
[8,7,5,4,3,6,2,1,9]=>[9,1,2,6,3,4,5,7,8]
[9,8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8,9]
[1,3,5,8,2,4,6,7,9]=>[9,7,6,4,2,8,5,3,1]
[5,1,2,8,3,4,6,7,9]=>[9,7,6,4,3,8,2,1,5]
[2,8,1,5,3,4,6,7,9]=>[9,7,6,4,3,5,1,8,2]
[2,7,1,4,8,3,5,6,9]=>[9,6,5,3,8,4,1,7,2]
[2,4,9,1,7,3,5,6,8]=>[8,6,5,3,7,1,9,4,2]
[2,6,1,4,9,3,5,7,8]=>[8,7,5,3,9,4,1,6,2]
[4,1,2,6,9,3,5,7,8]=>[8,7,5,3,9,6,2,1,4]
[1,2,4,6,9,3,5,7,8]=>[8,7,5,3,9,6,4,2,1]
[2,8,1,4,5,3,6,7,9]=>[9,7,6,3,5,4,1,8,2]
[2,6,1,4,7,8,3,5,9]=>[9,5,3,8,7,4,1,6,2]
[2,4,8,1,6,9,3,5,7]=>[7,5,3,9,6,1,8,4,2]
[2,7,1,5,3,4,6,8,9]=>[9,8,6,4,3,5,1,7,2]
[2,9,1,4,7,3,5,6,8]=>[8,6,5,3,7,4,1,9,2]
[6,1,2,4,9,3,5,7,8]=>[8,7,5,3,9,4,2,1,6]
[4,2,6,9,1,3,5,7,8]=>[8,7,5,3,1,9,6,2,4]
[2,3,6,4,5,1,7,8,9]=>[9,8,7,1,5,4,6,3,2]
[2,3,4,8,5,6,7,1,9]=>[9,1,7,6,5,8,4,3,2]
[3,5,4,7,2,6,1,8,9]=>[9,8,1,6,2,7,4,5,3]
[2,6,4,1,5,3,7,8,9]=>[9,8,7,3,5,1,4,6,2]
[4,5,2,6,3,1,7,8,9]=>[9,8,7,1,3,6,2,5,4]
[3,6,4,5,9,2,7,8,1]=>[1,8,7,2,9,5,4,6,3]
[2,5,4,7,8,6,3,1,9]=>[9,1,3,6,8,7,4,5,2]
[4,6,2,5,8,3,7,1,9]=>[9,1,7,3,8,5,2,6,4]
[3,5,7,6,1,4,2,8,9]=>[9,8,2,4,1,6,7,5,3]
[5,6,2,3,7,4,1,8,9]=>[9,8,1,4,7,3,2,6,5]
[5,7,2,3,6,9,4,8,1]=>[1,8,4,9,6,3,2,7,5]
[2,8,4,1,6,3,7,5,9]=>[9,5,7,3,6,1,4,8,2]
[4,6,7,8,3,1,5,2,9]=>[9,2,5,1,3,8,7,6,4]
[6,7,2,3,4,8,5,1,9]=>[9,1,5,8,4,3,2,7,6]
[3,5,9,7,1,8,2,6,4]=>[4,6,2,8,1,7,9,5,3]
[5,7,8,3,9,4,1,6,2]=>[2,6,1,4,9,3,8,7,5]
[7,8,2,3,4,5,9,6,1]=>[1,6,9,5,4,3,2,8,7]
[7,8,9,2,3,4,5,6,1]=>[1,6,5,4,3,2,9,8,7]
[7,9,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,9,7]
[8,9,7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7,9,8]
[7,8,1,9,6,2,3,4,5]=>[5,4,3,2,6,9,1,8,7]
[6,1,7,8,4,9,2,3,5]=>[5,3,2,9,4,8,7,1,6]
[1,5,6,7,8,9,4,2,3]=>[3,2,4,9,8,7,6,5,1]
[8,6,9,2,3,4,5,7,1]=>[1,7,5,4,3,2,9,6,8]
[7,5,8,9,2,3,4,6,1]=>[1,6,4,3,2,9,8,5,7]
[6,7,9,2,3,1,4,5,8]=>[8,5,4,1,3,2,9,7,6]
[6,4,7,8,9,2,3,1,5]=>[5,1,3,2,9,8,7,4,6]
[8,9,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,9,8]
[5,3,6,7,8,9,2,4,1]=>[1,4,2,9,8,7,6,3,5]
[7,1,8,9,4,6,2,3,5]=>[5,3,2,6,4,9,8,1,7]
[1,6,7,8,3,4,9,2,5]=>[5,2,9,4,3,8,7,6,1]
[5,1,2,4,3,6,7,8,9]=>[9,8,7,6,3,4,2,1,5]
[7,1,2,3,4,6,5,8,9]=>[9,8,5,6,4,3,2,1,7]
[8,7,6,4,9,3,2,1,5]=>[5,1,2,3,9,4,6,7,8]
[8,7,5,4,9,3,2,1,6]=>[6,1,2,3,9,4,5,7,8]
[8,7,4,9,6,3,2,1,5]=>[5,1,2,3,6,9,4,7,8]
[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]
[3,1,4,6,2,5,8,7,9]=>[9,7,8,5,2,6,4,1,3]
[1,3,2,5,7,4,6,9,8]=>[8,9,6,4,7,5,2,3,1]
[1,9,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,9,1]
[1,9,8,5,4,6,7,3,2]=>[2,3,7,6,4,5,8,9,1]
[1,9,5,4,6,7,8,3,2]=>[2,3,8,7,6,4,5,9,1]
[2,4,5,6,7,8,3,9,1]=>[1,9,3,8,7,6,5,4,2]
[2,3,5,6,7,4,8,9,1]=>[1,9,8,4,7,6,5,3,2]
[6,7,5,8,9,1,2,3,4]=>[4,3,2,1,9,8,5,7,6]
[6,7,8,5,9,1,2,3,4]=>[4,3,2,1,9,5,8,7,6]
[6,7,8,9,5,1,2,3,4]=>[4,3,2,1,5,9,8,7,6]
[5,7,8,9,1,6,2,3,4]=>[4,3,2,6,1,9,8,7,5]
[5,6,8,9,1,2,7,3,4]=>[4,3,7,2,1,9,8,6,5]
[7,6,5,8,9,1,2,3,4]=>[4,3,2,1,9,8,5,6,7]
[6,8,7,5,9,1,2,3,4]=>[4,3,2,1,9,5,7,8,6]
[6,7,9,8,5,1,2,3,4]=>[4,3,2,1,5,8,9,7,6]
[4,5,7,8,9,6,1,2,3]=>[3,2,1,6,9,8,7,5,4]
[5,6,8,9,2,1,7,3,4]=>[4,3,7,1,2,9,8,6,5]
[5,6,7,9,1,3,2,8,4]=>[4,8,2,3,1,9,7,6,5]
[5,6,7,8,1,2,4,3,9]=>[9,3,4,2,1,8,7,6,5]
[3,9,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,9,3]
[4,1,9,5,6,7,8,3,2]=>[2,3,8,7,6,5,9,1,4]
[4,2,9,5,6,7,3,1,8]=>[8,1,3,7,6,5,9,2,4]
[3,9,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,9,3]
[5,1,3,9,6,7,8,4,2]=>[2,4,8,7,6,9,3,1,5]
[4,1,9,5,6,7,3,8,2]=>[2,8,3,7,6,5,9,1,4]
[5,2,3,9,6,7,4,1,8]=>[8,1,4,7,6,9,3,2,5]
[4,5,9,6,7,3,2,1,8]=>[8,1,2,3,7,6,9,5,4]
[3,9,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,9,3]
[6,1,3,4,9,7,8,5,2]=>[2,5,8,7,9,4,3,1,6]
[5,1,6,9,7,8,4,3,2]=>[2,3,4,8,7,9,6,1,5]
[4,1,9,5,6,3,7,8,2]=>[2,8,7,3,6,5,9,1,4]
[1,2,4,3,6,9,8,7,5]=>[5,7,8,9,6,3,4,2,1]
[2,3,5,4,7,9,8,6,1]=>[1,6,8,9,7,4,5,3,2]
[2,1,4,3,6,9,8,7,5]=>[5,7,8,9,6,3,4,1,2]
[3,2,5,4,7,9,8,6,1]=>[1,6,8,9,7,4,5,2,3]
[1,3,4,2,6,9,8,7,5]=>[5,7,8,9,6,2,4,3,1]
[1,3,2,5,8,7,6,9,4]=>[4,9,6,7,8,5,2,3,1]
[2,4,5,3,7,9,8,6,1]=>[1,6,8,9,7,3,5,4,2]
[2,4,3,6,8,7,9,5,1]=>[1,5,9,7,8,6,3,4,2]
[1,2,3,4,7,5,6,9,8]=>[8,9,6,5,7,4,3,2,1]
[1,2,5,3,4,7,6,9,8]=>[8,9,6,7,4,3,5,2,1]
[9,8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8,9]
[9,7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7,9]
[1,2,7,4,5,6,8,9,3]=>[3,9,8,6,5,4,7,2,1]
[1,2,3,4,7,8,5,6,9]=>[9,6,5,8,7,4,3,2,1]
[1,2,3,4,6,5,8,7,9]=>[9,7,8,5,6,4,3,2,1]
[1,2,3,4,8,9,5,6,7]=>[7,6,5,9,8,4,3,2,1]
[2,1,7,8,9,3,4,5,6]=>[6,5,4,3,9,8,7,1,2]
[9,7,5,3,8,6,4,2,1]=>[1,2,4,6,8,3,5,7,9]
[8,6,9,7,4,3,2,1,5]=>[5,1,2,3,4,7,9,6,8]
[8,6,3,2,1,4,9,7,5]=>[5,7,9,4,1,2,3,6,8]
[8,6,4,9,7,5,2,1,3]=>[3,1,2,5,7,9,4,6,8]
[9,7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7,9]
[9,6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6,9]
[8,5,6,9,7,4,3,2,1]=>[1,2,3,4,7,9,6,5,8]
[8,6,3,2,1,9,7,4,5]=>[5,4,7,9,1,2,3,6,8]
[9,7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7,9]
[8,6,3,4,9,7,5,2,1]=>[1,2,5,7,9,4,3,6,8]
[8,6,9,7,3,2,1,4,5]=>[5,4,1,2,3,7,9,6,8]
[9,7,5,2,3,8,6,4,1]=>[1,4,6,8,3,2,5,7,9]
[8,6,2,1,3,4,9,7,5]=>[5,7,9,4,3,1,2,6,8]
[8,6,4,9,7,5,1,2,3]=>[3,2,1,5,7,9,4,6,8]
[2,5,1,6,3,7,4,8,9]=>[9,8,4,7,3,6,1,5,2]
[2,6,1,7,3,8,4,9,5]=>[5,9,4,8,3,7,1,6,2]
[3,4,6,1,7,2,8,5,9]=>[9,5,8,2,7,1,6,4,3]
[3,2,6,1,7,4,8,5,9]=>[9,5,8,4,7,1,6,2,3]
[4,2,5,6,1,7,3,8,9]=>[9,8,3,7,1,6,5,2,4]
[3,4,2,6,1,7,5,8,9]=>[9,8,5,7,1,6,2,4,3]
[4,2,5,7,1,8,3,9,6]=>[6,9,3,8,1,7,5,2,4]
[3,4,2,7,1,8,5,9,6]=>[6,9,5,8,1,7,2,4,3]
[5,3,6,4,7,1,8,2,9]=>[9,2,8,1,7,4,6,3,5]
[3,5,2,6,7,1,8,4,9]=>[9,4,8,1,7,6,2,5,3]
[4,3,5,2,7,1,8,6,9]=>[9,6,8,1,7,2,5,3,4]
[4,6,2,7,5,8,1,9,3]=>[3,9,1,8,5,7,2,6,4]
[4,3,6,2,7,8,1,9,5]=>[5,9,1,8,7,2,6,3,4]
[4,5,3,6,2,8,1,9,7]=>[7,9,1,8,2,6,3,5,4]
[7,6,5,9,4,3,2,1,8]=>[8,1,2,3,4,9,5,6,7]
[7,6,5,4,3,9,2,1,8]=>[8,1,2,9,3,4,5,6,7]
[7,9,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,9,7]
[9,8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8,9]
[6,1,7,8,9,2,3,4,5]=>[5,4,3,2,9,8,7,1,6]
[4,5,6,7,1,9,2,3,8]=>[8,3,2,9,1,7,6,5,4]
[3,5,6,7,9,1,2,4,8]=>[8,4,2,1,9,7,6,5,3]
[5,1,6,7,8,2,9,3,4]=>[4,3,9,2,8,7,6,1,5]
[4,1,6,7,8,9,2,3,5]=>[5,3,2,9,8,7,6,1,4]
[7,5,4,6,8,3,2,1,9]=>[9,1,2,3,8,6,4,5,7]
[5,6,7,8,4,3,2,1,9]=>[9,1,2,3,4,8,7,6,5]
[7,6,4,3,5,8,2,1,9]=>[9,1,2,8,5,3,4,6,7]
[7,4,5,6,8,3,2,1,9]=>[9,1,2,3,8,6,5,4,7]
[7,6,5,3,2,4,8,1,9]=>[9,1,8,4,2,3,5,6,7]
[7,6,3,4,5,8,2,1,9]=>[9,1,2,8,5,4,3,6,7]
[7,6,5,4,2,1,3,8,9]=>[9,8,3,1,2,4,5,6,7]
[7,6,5,2,3,4,8,1,9]=>[9,1,8,4,3,2,5,6,7]
[7,6,5,4,1,2,3,8,9]=>[9,8,3,2,1,4,5,6,7]
[5,6,7,1,2,3,4,8,9]=>[9,8,4,3,2,1,7,6,5]
[5,3,6,1,2,4,7,8,9]=>[9,8,7,4,2,1,6,3,5]
[6,3,7,8,1,2,4,5,9]=>[9,5,4,2,1,8,7,3,6]
[6,7,4,5,1,2,3,8,9]=>[9,8,3,2,1,5,4,7,6]
[6,4,3,7,1,2,5,8,9]=>[9,8,5,2,1,7,3,4,6]
[7,3,4,8,9,1,2,5,6]=>[6,5,2,1,9,8,4,3,7]
[7,8,4,5,9,1,2,3,6]=>[6,3,2,1,9,5,4,8,7]
[7,4,3,8,9,1,2,5,6]=>[6,5,2,1,9,8,3,4,7]
[7,5,8,3,6,1,2,4,9]=>[9,4,2,1,6,3,8,5,7]
[7,5,4,3,8,1,2,6,9]=>[9,6,2,1,8,3,4,5,7]
[8,5,9,3,6,7,1,2,4]=>[4,2,1,7,6,3,9,5,8]
[8,5,4,3,6,9,1,2,7]=>[7,2,1,9,6,3,4,5,8]
[8,6,4,9,3,7,1,2,5]=>[5,2,1,7,3,9,4,6,8]
[8,6,5,4,3,9,1,2,7]=>[7,2,1,9,3,4,5,6,8]
[9,7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7,9]
[9,7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7,9]
[6,5,7,4,3,2,1,9,8]=>[8,9,1,2,3,4,7,5,6]
[5,7,6,4,3,2,1,9,8]=>[8,9,1,2,3,4,6,7,5]
[2,3,1,5,6,8,9,4,7]=>[7,4,9,8,6,5,1,3,2]
[5,6,7,8,9,1,3,4,2]=>[2,4,3,1,9,8,7,6,5]
[6,7,8,9,1,3,4,5,2]=>[2,5,4,3,1,9,8,7,6]
[6,7,8,9,1,4,5,2,3]=>[3,2,5,4,1,9,8,7,6]
[7,8,9,1,4,5,6,2,3]=>[3,2,6,5,4,1,9,8,7]
[2,9,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,9,2]
[7,9,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,9,7]
[2,9,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,9,2]
[2,8,1,4,5,6,7,9,3]=>[3,9,7,6,5,4,1,8,2]
[2,3,4,5,7,9,6,8,1]=>[1,8,6,9,7,5,4,3,2]
[2,3,4,6,9,5,7,8,1]=>[1,8,7,5,9,6,4,3,2]
[2,3,5,9,4,6,7,8,1]=>[1,8,7,6,4,9,5,3,2]
[2,4,9,3,5,6,7,8,1]=>[1,8,7,6,5,3,9,4,2]
[5,9,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,9,5]
[5,4,8,7,6,3,2,1,9]=>[9,1,2,3,6,7,8,4,5]
[6,5,9,8,7,4,3,1,2]=>[2,1,3,4,7,8,9,5,6]
[9,5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5,9]
[7,6,8,5,4,3,2,9,1]=>[1,9,2,3,4,5,8,6,7]
[6,8,7,5,4,3,2,9,1]=>[1,9,2,3,4,5,7,8,6]
[2,7,9,8,6,5,4,3,1]=>[1,3,4,5,6,8,9,7,2]
[6,7,8,5,4,3,2,9,1]=>[1,9,2,3,4,5,8,7,6]
[2,7,8,9,6,5,4,3,1]=>[1,3,4,5,6,9,8,7,2]
[2,3,4,5,6,1,8,9,7]=>[7,9,8,1,6,5,4,3,2]
[2,3,4,5,1,7,8,9,6]=>[6,9,8,7,1,5,4,3,2]
[2,9,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,9,2]
[2,8,3,4,5,1,6,9,7]=>[7,9,6,1,5,4,3,8,2]
[2,7,3,4,1,5,8,9,6]=>[6,9,8,5,1,4,3,7,2]
[2,6,3,1,4,7,8,9,5]=>[5,9,8,7,4,1,3,6,2]
[1,3,2,4,6,5,8,7,9]=>[9,7,8,5,6,4,2,3,1]
[1,3,2,5,4,6,8,7,9]=>[9,7,8,6,4,5,2,3,1]
[1,3,2,5,4,7,6,8,9]=>[9,8,6,7,4,5,2,3,1]
[4,2,5,3,7,6,9,8,1]=>[1,8,9,6,7,3,5,2,4]
[4,2,6,3,7,5,9,8,1]=>[1,8,9,5,7,3,6,2,4]
[4,2,6,3,8,5,9,7,1]=>[1,7,9,5,8,3,6,2,4]
[4,2,6,3,8,5,7,1,9]=>[9,1,7,5,8,3,6,2,4]
[4,2,6,3,5,8,7,1,9]=>[9,1,7,8,5,3,6,2,4]
[4,2,3,6,5,8,7,1,9]=>[9,1,7,8,5,6,3,2,4]
[5,2,6,3,7,4,9,8,1]=>[1,8,9,4,7,3,6,2,5]
[4,2,7,3,8,5,9,6,1]=>[1,6,9,5,8,3,7,2,4]
[4,2,6,3,8,5,7,9,1]=>[1,9,7,5,8,3,6,2,4]
[4,2,3,6,8,5,7,1,9]=>[9,1,7,5,8,6,3,2,4]
[2,4,6,3,5,8,7,1,9]=>[9,1,7,8,5,3,6,4,2]
[7,9,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,9,7]
[6,9,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,9,6]
[3,4,5,6,9,1,7,8,2]=>[2,8,7,1,9,6,5,4,3]
[3,6,7,4,8,9,1,5,2]=>[2,5,1,9,8,4,7,6,3]
[2,9,8,5,7,6,4,3,1]=>[1,3,4,6,7,5,8,9,2]
[8,7,4,5,6,3,2,9,1]=>[1,9,2,3,6,5,4,7,8]
[2,9,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,9,2]
[8,9,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,9,8]
[8,7,9,6,5,4,1,3,2]=>[2,3,1,4,5,6,9,7,8]
[9,7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7,9]
[9,2,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,2,9]
[7,9,8,4,5,6,1,3,2]=>[2,3,1,6,5,4,8,9,7]
[8,2,9,7,5,6,4,1,3]=>[3,1,4,6,5,7,9,2,8]
[7,2,9,8,5,6,1,4,3]=>[3,4,1,6,5,8,9,2,7]
[8,5,4,3,2,6,9,1,7]=>[7,1,9,6,2,3,4,5,8]
[8,2,3,9,7,6,5,1,4]=>[4,1,5,6,7,9,3,2,8]
[9,2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2,9]
[1,3,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,3,1]
[2,3,1,4,5,6,9,7,8]=>[8,7,9,6,5,4,1,3,2]
[3,2,4,5,6,8,9,1,7]=>[7,1,9,8,6,5,4,2,3]
[3,2,1,4,5,6,7,9,8]=>[8,9,7,6,5,4,1,2,3]
[1,3,2,4,5,6,8,7,9]=>[9,7,8,6,5,4,2,3,1]
[3,4,5,9,1,2,6,7,8]=>[8,7,6,2,1,9,5,4,3]
[4,3,9,5,6,7,8,2,1]=>[1,2,8,7,6,5,9,3,4]
[3,2,8,5,6,7,1,9,4]=>[4,9,1,7,6,5,8,2,3]
[7,8,4,5,6,1,3,9,2]=>[2,9,3,1,6,5,4,8,7]
[3,4,1,9,6,7,8,2,5]=>[5,2,8,7,6,9,1,4,3]
[4,8,9,5,6,7,2,1,3]=>[3,1,2,7,6,5,9,8,4]
[4,2,3,8,6,7,1,9,5]=>[5,9,1,7,6,8,3,2,4]
[6,8,4,5,1,3,7,9,2]=>[2,9,7,3,1,5,4,8,6]
[3,5,1,4,9,7,8,2,6]=>[6,2,8,7,9,4,1,5,3]
[8,3,4,9,6,7,2,5,1]=>[1,5,2,7,6,9,4,3,8]
[4,7,9,5,6,2,1,8,3]=>[3,8,1,2,6,5,9,7,4]
[8,1,2,5,3,4,6,7,9]=>[9,7,6,4,3,5,2,1,8]
[1,9,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,9,1]
[8,1,2,6,4,3,5,7,9]=>[9,7,5,3,4,6,2,1,8]
[8,1,2,6,3,5,4,7,9]=>[9,7,4,5,3,6,2,1,8]
[1,9,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,9,1]
[1,9,2,3,7,4,6,5,8]=>[8,5,6,4,7,3,2,9,1]
[4,3,8,7,6,5,2,1,9]=>[9,1,2,5,6,7,8,3,4]
[8,3,7,6,5,4,2,1,9]=>[9,1,2,4,5,6,7,3,8]
[5,4,9,8,7,6,3,1,2]=>[2,1,3,6,7,8,9,4,5]
[9,4,8,7,6,5,3,1,2]=>[2,1,3,5,6,7,8,4,9]
[5,6,7,8,9,3,2,1,4]=>[4,1,2,3,9,8,7,6,5]
[6,7,8,9,3,4,1,2,5]=>[5,2,1,4,3,9,8,7,6]
[6,7,8,9,3,4,2,1,5]=>[5,1,2,4,3,9,8,7,6]
[7,8,9,3,4,5,1,2,6]=>[6,2,1,5,4,3,9,8,7]
[7,8,9,3,4,5,2,1,6]=>[6,1,2,5,4,3,9,8,7]
[7,8,9,4,5,2,3,1,6]=>[6,1,3,2,5,4,9,8,7]
[7,8,9,4,5,3,2,1,6]=>[6,1,2,3,5,4,9,8,7]
[8,9,4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4,9,8]
[8,9,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,9,8]
[8,9,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,9,8]
[8,9,5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5,9,8]
[8,9,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,9,8]
[9,6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6,9]
[1,2,3,4,6,5,7,9,8]=>[8,9,7,5,6,4,3,2,1]
[1,2,3,5,4,6,7,9,8]=>[8,9,7,6,4,5,3,2,1]
[1,2,4,3,5,6,7,9,8]=>[8,9,7,6,5,3,4,2,1]
[1,5,3,4,6,7,8,9,2]=>[2,9,8,7,6,4,3,5,1]
[1,4,5,3,6,7,8,9,2]=>[2,9,8,7,6,3,5,4,1]
[4,2,6,1,3,5,8,7,9]=>[9,7,8,5,3,1,6,2,4]
[4,2,6,1,8,3,5,7,9]=>[9,7,5,3,8,1,6,2,4]
[4,2,8,1,3,6,5,7,9]=>[9,7,5,6,3,1,8,2,4]
[4,2,6,1,9,3,5,8,7]=>[7,8,5,3,9,1,6,2,4]
[9,1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1,9]
[8,1,9,3,2,4,6,5,7]=>[7,5,6,4,2,3,9,1,8]
[9,8,2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2,8,9]
[8,1,9,2,4,5,6,3,7]=>[7,3,6,5,4,2,9,1,8]
[8,6,5,4,3,2,7,1,9]=>[9,1,7,2,3,4,5,6,8]
[8,7,6,9,5,3,2,1,4]=>[4,1,2,3,5,9,6,7,8]
[1,4,3,6,5,8,7,9,2]=>[2,9,7,8,5,6,3,4,1]
[1,4,2,6,5,8,7,9,3]=>[3,9,7,8,5,6,2,4,1]
[1,5,2,6,4,8,7,9,3]=>[3,9,7,8,4,6,2,5,1]
[1,5,2,7,4,8,6,9,3]=>[3,9,6,8,4,7,2,5,1]
[1,5,2,7,4,9,6,8,3]=>[3,8,6,9,4,7,2,5,1]
[1,5,2,7,4,6,9,8,3]=>[3,8,9,6,4,7,2,5,1]
[1,5,2,4,7,6,9,8,3]=>[3,8,9,6,7,4,2,5,1]
[1,2,5,4,7,6,9,8,3]=>[3,8,9,6,7,4,5,2,1]
[1,5,2,6,3,8,7,9,4]=>[4,9,7,8,3,6,2,5,1]
[1,6,2,7,4,8,5,9,3]=>[3,9,5,8,4,7,2,6,1]
[1,5,2,8,4,9,6,7,3]=>[3,7,6,9,4,8,2,5,1]
[1,5,2,7,4,6,8,9,3]=>[3,9,8,6,4,7,2,5,1]
[1,5,2,4,7,9,6,8,3]=>[3,8,6,9,7,4,2,5,1]
[1,2,5,7,4,6,9,8,3]=>[3,8,9,6,4,7,5,2,1]
[4,5,6,7,9,8,3,2,1]=>[1,2,3,8,9,7,6,5,4]
[5,4,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,4,5]
[6,5,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,5,6]
[4,5,6,7,3,9,8,2,1]=>[1,2,8,9,3,7,6,5,4]
[3,5,6,7,9,8,4,2,1]=>[1,2,4,8,9,7,6,5,3]
[5,4,6,7,8,3,9,2,1]=>[1,2,9,3,8,7,6,4,5]
[4,3,6,7,8,9,5,2,1]=>[1,2,5,9,8,7,6,3,4]
[3,4,5,6,8,9,7,1,2]=>[2,1,7,9,8,6,5,4,3]
[3,4,5,7,8,9,6,1,2]=>[2,1,6,9,8,7,5,4,3]
[3,5,6,7,8,9,4,1,2]=>[2,1,4,9,8,7,6,5,3]
[4,5,6,7,8,9,3,1,2]=>[2,1,3,9,8,7,6,5,4]
[3,4,5,8,1,9,7,6,2]=>[2,6,7,9,1,8,5,4,3]
[3,4,7,1,8,9,6,5,2]=>[2,5,6,9,8,1,7,4,3]
[3,6,1,7,8,9,4,5,2]=>[2,5,4,9,8,7,1,6,3]
[5,1,6,7,8,9,4,3,2]=>[2,3,4,9,8,7,6,1,5]
[1,5,6,7,8,9,3,2,4]=>[4,2,3,9,8,7,6,5,1]
[3,4,5,8,9,6,7,1,2]=>[2,1,7,6,9,8,5,4,3]
[3,4,7,8,5,9,6,1,2]=>[2,1,6,9,5,8,7,4,3]
[3,4,5,9,1,6,7,8,2]=>[2,8,7,6,1,9,5,4,3]
[3,4,8,1,5,9,7,6,2]=>[2,6,7,9,5,1,8,4,3]
[5,6,3,7,8,9,4,1,2]=>[2,1,4,9,8,7,3,6,5]
[3,7,1,4,8,9,6,5,2]=>[2,5,6,9,8,4,1,7,3]
[5,2,6,7,8,9,3,1,4]=>[4,1,3,9,8,7,6,2,5]
[6,1,3,7,8,9,4,5,2]=>[2,5,4,9,8,7,3,1,6]
[1,2,6,7,8,9,4,3,5]=>[5,3,4,9,8,7,6,2,1]
[1,2,3,4,9,5,8,6,7]=>[7,6,8,5,9,4,3,2,1]
[1,2,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,2,1]
[1,2,3,9,4,5,6,8,7]=>[7,8,6,5,4,9,3,2,1]
[1,2,3,9,4,5,8,6,7]=>[7,6,8,5,4,9,3,2,1]
[1,2,3,9,4,5,8,7,6]=>[6,7,8,5,4,9,3,2,1]
[1,2,3,9,4,8,7,6,5]=>[5,6,7,8,4,9,3,2,1]
[1,2,9,3,4,8,5,6,7]=>[7,6,5,8,4,3,9,2,1]
[1,2,9,3,4,8,5,7,6]=>[6,7,5,8,4,3,9,2,1]
[1,2,9,3,4,8,7,6,5]=>[5,6,7,8,4,3,9,2,1]
[1,2,9,3,8,4,7,6,5]=>[5,6,7,4,8,3,9,2,1]
[1,2,9,3,8,7,6,5,4]=>[4,5,6,7,8,3,9,2,1]
[1,9,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,9,1]
[8,1,7,2,9,3,4,5,6]=>[6,5,4,3,9,2,7,1,8]
[8,1,7,2,6,3,9,4,5]=>[5,4,9,3,6,2,7,1,8]
[7,1,6,2,9,3,8,4,5]=>[5,4,8,3,9,2,6,1,7]
[7,1,6,2,8,3,9,4,5]=>[5,4,9,3,8,2,6,1,7]
[8,1,7,2,6,5,3,9,4]=>[4,9,3,5,6,2,7,1,8]
[7,1,6,5,2,9,3,8,4]=>[4,8,3,9,2,5,6,1,7]
[7,1,6,5,2,8,3,9,4]=>[4,9,3,8,2,5,6,1,7]
[6,5,1,8,2,7,3,9,4]=>[4,9,3,7,2,8,1,5,6]
[6,5,1,7,2,8,3,9,4]=>[4,9,3,8,2,7,1,5,6]
[4,5,6,8,1,7,2,9,3]=>[3,9,2,7,1,8,6,5,4]
[7,4,5,6,1,9,2,8,3]=>[3,8,2,9,1,6,5,4,7]
[7,4,5,6,1,8,2,9,3]=>[3,9,2,8,1,6,5,4,7]
[6,4,5,7,1,8,2,9,3]=>[3,9,2,8,1,7,5,4,6]
[5,6,4,7,1,8,2,9,3]=>[3,9,2,8,1,7,4,6,5]
[6,5,3,8,4,7,1,9,2]=>[2,9,1,7,4,8,3,5,6]
[6,5,3,7,4,8,1,9,2]=>[2,9,1,8,4,7,3,5,6]
[5,6,3,7,4,8,1,9,2]=>[2,9,1,8,4,7,3,6,5]
[5,6,4,7,3,8,1,9,2]=>[2,9,1,8,3,7,4,6,5]
[9,3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3,9]
[9,4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4,9]
[9,8,3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3,8,9]
[9,8,4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4,8,9]
[9,3,4,5,6,2,8,7,1]=>[1,7,8,2,6,5,4,3,9]
[9,2,4,5,6,8,7,3,1]=>[1,3,7,8,6,5,4,2,9]
[9,4,3,5,6,7,2,8,1]=>[1,8,2,7,6,5,3,4,9]
[9,3,2,5,6,7,8,4,1]=>[1,4,8,7,6,5,2,3,9]
[4,6,3,5,7,2,8,1,9]=>[9,1,8,2,7,5,3,6,4]
[5,6,3,4,7,2,8,1,9]=>[9,1,8,2,7,4,3,6,5]
[1,5,7,4,6,8,3,9,2]=>[2,9,3,8,6,4,7,5,1]
[1,6,7,4,5,8,3,9,2]=>[2,9,3,8,5,4,7,6,1]
[1,2,3,4,8,5,9,6,7]=>[7,6,9,5,8,4,3,2,1]
[1,2,3,7,4,5,8,6,9]=>[9,6,8,5,4,7,3,2,1]
[1,2,3,4,8,6,5,7,9]=>[9,7,5,6,8,4,3,2,1]
[1,2,3,4,9,7,5,6,8]=>[8,6,5,7,9,4,3,2,1]
[2,1,4,9,3,5,6,7,8]=>[8,7,6,5,3,9,4,1,2]
[3,7,1,2,4,5,6,9,8]=>[8,9,6,5,4,2,1,7,3]
[3,1,2,6,9,4,5,7,8]=>[8,7,5,4,9,6,2,1,3]
[4,6,1,2,3,5,9,7,8]=>[8,7,9,5,3,2,1,6,4]
[1,2,3,4,7,8,9,5,6]=>[6,5,9,8,7,4,3,2,1]
[1,2,3,4,6,8,9,5,7]=>[7,5,9,8,6,4,3,2,1]
[9,7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7,9]
[9,8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8,9]
[5,4,3,2,1,9,7,8,6]=>[6,8,7,9,1,2,3,4,5]
[6,4,2,1,3,5,8,7,9]=>[9,7,8,5,3,1,2,4,6]
[9,8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8,9]
[7,6,4,2,1,3,5,9,8]=>[8,9,5,3,1,2,4,6,7]
[5,4,2,1,3,7,6,9,8]=>[8,9,6,7,3,1,2,4,5]
[8,4,2,1,3,6,5,7,9]=>[9,7,5,6,3,1,2,4,8]
[9,6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6,9]
[7,6,4,2,1,3,5,8,9]=>[9,8,5,3,1,2,4,6,7]
[5,4,2,1,3,9,8,6,7]=>[7,6,8,9,3,1,2,4,5]
[9,8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8,9]
[8,7,4,3,6,5,2,1,9]=>[9,1,2,5,6,3,4,7,8]
[8,7,3,6,5,4,2,1,9]=>[9,1,2,4,5,6,3,7,8]
[9,8,3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3,8,9]
[6,5,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,5,6]
[1,7,6,8,9,2,3,4,5]=>[5,4,3,2,9,8,6,7,1]
[6,7,5,8,1,2,3,4,9]=>[9,4,3,2,1,8,5,7,6]
[7,5,6,8,1,2,3,4,9]=>[9,4,3,2,1,8,6,5,7]
[1,7,8,6,9,2,3,4,5]=>[5,4,3,2,9,6,8,7,1]
[1,8,6,7,9,2,3,4,5]=>[5,4,3,2,9,7,6,8,1]
[2,3,4,5,1,6,9,8,7]=>[7,8,9,6,1,5,4,3,2]
[2,3,5,1,4,6,9,7,8]=>[8,7,9,6,4,1,5,3,2]
[2,3,1,4,5,6,9,8,7]=>[7,8,9,6,5,4,1,3,2]
[2,1,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,1,2]
[3,4,5,7,1,8,9,6,2]=>[2,6,9,8,1,7,5,4,3]
[3,4,6,1,7,2,9,8,5]=>[5,8,9,2,7,1,6,4,3]
[2,4,1,5,3,6,9,7,8]=>[8,7,9,6,3,5,1,4,2]
[4,1,5,2,3,6,9,8,7]=>[7,8,9,6,3,2,5,1,4]
[2,3,4,5,1,9,6,8,7]=>[7,8,6,9,1,5,4,3,2]
[2,3,4,1,5,7,9,8,6]=>[6,8,9,7,5,1,4,3,2]
[2,3,4,6,9,1,5,7,8]=>[8,7,5,1,9,6,4,3,2]
[2,3,1,4,7,5,9,6,8]=>[8,6,9,5,7,4,1,3,2]
[3,4,6,1,7,8,9,5,2]=>[2,5,9,8,7,1,6,4,3]
[2,1,3,5,4,6,9,8,7]=>[7,8,9,6,4,5,3,1,2]
[3,5,1,6,7,2,9,8,4]=>[4,8,9,2,7,6,1,5,3]
[1,2,4,3,5,6,9,8,7]=>[7,8,9,6,5,3,4,2,1]
[3,1,4,5,2,6,9,7,8]=>[8,7,9,6,2,5,4,1,3]
[1,4,5,2,3,6,9,8,7]=>[7,8,9,6,3,2,5,4,1]
[8,9,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,9,8]
[8,9,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,9,8]
[1,2,6,3,4,5,7,8,9]=>[9,8,7,5,4,3,6,2,1]
[1,4,5,2,3,6,7,8,9]=>[9,8,7,6,3,2,5,4,1]
[1,2,3,8,4,5,6,7,9]=>[9,7,6,5,4,8,3,2,1]
[1,4,2,7,3,5,6,8,9]=>[9,8,6,5,3,7,2,4,1]
[1,5,4,6,2,3,7,8,9]=>[9,8,7,3,2,6,4,5,1]
[1,4,2,3,9,5,6,7,8]=>[8,7,6,5,9,3,2,4,1]
[1,2,4,7,8,3,5,6,9]=>[9,6,5,3,8,7,4,2,1]
[1,5,4,2,8,3,6,7,9]=>[9,7,6,3,8,2,4,5,1]
[1,3,7,5,6,2,4,8,9]=>[9,8,4,2,6,5,7,3,1]
[1,6,5,4,7,2,3,8,9]=>[9,8,3,2,7,4,5,6,1]
[1,3,2,7,8,9,4,5,6]=>[6,5,4,9,8,7,2,3,1]
[1,6,5,4,2,9,3,7,8]=>[8,7,3,9,2,4,5,6,1]
[1,3,7,8,5,6,2,4,9]=>[9,4,2,6,5,8,7,3,1]
[1,7,6,5,4,8,2,3,9]=>[9,3,2,8,4,5,6,7,1]
[1,3,9,4,8,6,7,2,5]=>[5,2,7,6,8,4,9,3,1]
[1,3,8,7,9,5,6,2,4]=>[4,2,6,5,9,7,8,3,1]
[1,8,7,6,5,4,9,2,3]=>[3,2,9,4,5,6,7,8,1]
[6,9,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,9,6]
[8,6,9,5,7,4,3,2,1]=>[1,2,3,4,7,5,9,6,8]
[5,9,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,9,5]
[5,4,8,9,7,3,6,2,1]=>[1,2,6,3,7,9,8,4,5]
[5,7,9,4,6,8,3,2,1]=>[1,2,3,8,6,4,9,7,5]
[7,8,5,9,4,6,3,2,1]=>[1,2,3,6,4,9,5,8,7]
[4,3,8,9,2,7,6,1,5]=>[5,1,6,7,2,9,8,3,4]
[7,4,6,9,3,8,2,5,1]=>[1,5,2,8,3,9,6,4,7]
[7,4,3,8,9,6,2,5,1]=>[1,5,2,6,9,8,3,4,7]
[6,8,4,9,3,5,7,2,1]=>[1,2,7,5,3,9,4,8,6]
[6,7,8,4,9,3,5,2,1]=>[1,2,5,3,9,4,8,7,6]
[6,3,8,5,9,2,7,1,4]=>[4,1,7,2,9,5,8,3,6]
[6,7,3,2,8,9,5,1,4]=>[4,1,5,9,8,2,3,7,6]
[3,5,7,9,2,4,6,8,1]=>[1,8,6,4,2,9,7,5,3]
[7,5,8,3,9,2,4,6,1]=>[1,6,4,2,9,3,8,5,7]
[5,6,7,8,3,9,2,4,1]=>[1,4,2,9,3,8,7,6,5]
[6,7,4,8,2,9,1,3,5]=>[5,3,1,9,2,8,4,7,6]
[1,2,3,4,6,7,5,9,8]=>[8,9,5,7,6,4,3,2,1]
[9,1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1,9]
[5,9,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,9,5]
[4,9,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,9,4]
[1,3,2,5,4,8,7,9,6]=>[6,9,7,8,4,5,2,3,1]
[2,1,4,3,6,5,8,9,7]=>[7,9,8,5,6,3,4,1,2]
[4,3,2,6,5,8,7,9,1]=>[1,9,7,8,5,6,2,3,4]
[1,8,7,6,9,5,4,3,2]=>[2,3,4,5,9,6,7,8,1]
[1,8,7,6,5,9,4,3,2]=>[2,3,4,9,5,6,7,8,1]
[1,8,7,6,5,4,9,3,2]=>[2,3,9,4,5,6,7,8,1]
[1,8,7,6,5,4,3,9,2]=>[2,9,3,4,5,6,7,8,1]
[1,9,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,9,1]
[9,7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7,9]
[2,1,5,3,6,7,8,9,4]=>[4,9,8,7,6,3,5,1,2]
[5,1,2,3,4,7,9,6,8]=>[8,6,9,7,4,3,2,1,5]
[2,1,4,6,8,3,5,7,9]=>[9,7,5,3,8,6,4,1,2]
[1,2,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,2,1]
[6,5,1,2,3,4,8,7,9]=>[9,7,8,4,3,2,1,5,6]
[1,4,6,8,3,2,5,7,9]=>[9,7,5,2,3,8,6,4,1]
[5,3,6,1,2,7,8,9,4]=>[4,9,8,7,2,1,6,3,5]
[6,3,4,7,1,8,2,9,5]=>[5,9,2,8,1,7,4,3,6]
[2,4,6,1,7,3,8,9,5]=>[5,9,8,3,7,1,6,4,2]
[6,4,1,7,2,3,8,9,5]=>[5,9,8,3,2,7,1,4,6]
[2,4,7,5,8,9,1,3,6]=>[6,3,1,9,8,5,7,4,2]
[7,4,1,5,8,2,9,3,6]=>[6,3,9,2,8,5,1,4,7]
[7,3,5,8,1,2,4,9,6]=>[6,9,4,2,1,8,5,3,7]
[7,5,1,2,8,3,4,9,6]=>[6,9,4,3,8,2,1,5,7]
[2,3,1,5,6,4,8,9,7]=>[7,9,8,4,6,5,1,3,2]
[8,3,5,9,6,1,2,4,7]=>[7,4,2,1,6,9,5,3,8]
[8,5,1,2,6,3,4,9,7]=>[7,9,4,3,6,2,1,5,8]
[8,6,4,9,1,2,3,5,7]=>[7,5,3,2,1,9,4,6,8]
[8,6,1,2,3,9,4,5,7]=>[7,5,4,9,3,2,1,6,8]
[7,8,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,8,7]
[1,9,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,9,1]
[6,8,4,2,1,3,7,5,9]=>[9,5,7,3,1,2,4,8,6]
[1,7,9,5,3,2,4,8,6]=>[6,8,4,2,3,5,9,7,1]
[4,6,8,2,1,7,5,3,9]=>[9,3,5,7,1,2,8,6,4]
[4,8,6,2,1,5,7,3,9]=>[9,3,7,5,1,2,6,8,4]
[1,5,7,9,3,2,8,6,4]=>[4,6,8,2,3,9,7,5,1]
[1,5,9,7,3,2,6,8,4]=>[4,8,6,2,3,7,9,5,1]
[6,7,9,5,4,3,2,1,8]=>[8,1,2,3,4,5,9,7,6]
[2,1,6,5,4,9,8,7,3]=>[3,7,8,9,4,5,6,1,2]
[3,1,5,2,4,6,8,7,9]=>[9,7,8,6,4,2,5,1,3]
[3,1,5,2,7,8,4,6,9]=>[9,6,4,8,7,2,5,1,3]
[3,1,5,6,2,4,8,7,9]=>[9,7,8,4,2,6,5,1,3]
[9,7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7,9]
[5,9,7,4,2,8,6,3,1]=>[1,3,6,8,2,4,7,9,5]
[5,3,9,7,2,8,6,4,1]=>[1,4,6,8,2,7,9,3,5]
[5,3,1,9,7,8,6,4,2]=>[2,4,6,8,7,9,1,3,5]
[5,3,9,7,1,8,6,4,2]=>[2,4,6,8,1,7,9,3,5]
[5,9,7,3,1,8,6,4,2]=>[2,4,6,8,1,3,7,9,5]
[5,9,8,6,4,2,7,3,1]=>[1,3,7,2,4,6,8,9,5]
[9,4,3,7,2,8,6,5,1]=>[1,5,6,8,2,7,3,4,9]
[2,5,1,9,7,8,6,4,3]=>[3,4,6,8,7,9,1,5,2]
[5,3,9,7,8,6,4,2,1]=>[1,2,4,6,8,7,9,3,5]
[5,1,9,7,3,8,6,4,2]=>[2,4,6,8,3,7,9,1,5]
[3,9,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,9,3]
[5,7,3,1,9,8,6,4,2]=>[2,4,6,8,9,1,3,7,5]
[1,2,3,6,7,8,9,4,5]=>[5,4,9,8,7,6,3,2,1]
[1,9,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,9,1]
[1,9,8,7,6,4,5,3,2]=>[2,3,5,4,6,7,8,9,1]
[3,9,8,4,6,7,5,2,1]=>[1,2,5,7,6,4,8,9,3]
[9,7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7,9]
[8,7,6,5,2,9,4,1,3]=>[3,1,4,9,2,5,6,7,8]
[8,7,6,5,9,4,3,1,2]=>[2,1,3,4,9,5,6,7,8]
[8,9,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,9,8]
[9,7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7,9]
[9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9]
[5,7,3,9,4,6,2,8,1]=>[1,8,2,6,4,9,3,7,5]
[6,4,9,5,3,7,2,8,1]=>[1,8,2,7,3,5,9,4,6]
[6,3,5,4,9,7,2,8,1]=>[1,8,2,7,9,4,5,3,6]
[5,4,7,2,6,3,9,8,1]=>[1,8,9,3,6,2,7,4,5]
[9,3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3,9]
[4,3,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,3,4]
[9,4,2,8,7,6,5,1,3]=>[3,1,5,6,7,8,2,4,9]
[9,3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3,9]
[5,3,9,8,7,6,1,4,2]=>[2,4,1,6,7,8,9,3,5]
[4,1,5,9,8,7,6,3,2]=>[2,3,6,7,8,9,5,1,4]
[9,5,2,8,7,6,1,3,4]=>[4,3,1,6,7,8,2,5,9]
[9,4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4,9]
[9,3,1,2,5,8,7,6,4]=>[4,6,7,8,5,2,1,3,9]
[6,3,9,8,7,1,2,5,4]=>[4,5,2,1,7,8,9,3,6]
[5,4,3,8,7,6,9,2,1]=>[1,2,9,6,7,8,3,4,5]
[4,1,2,6,9,8,7,5,3]=>[3,5,7,8,9,6,2,1,4]
[9,3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3,9]
[1,2,6,5,4,3,9,8,7]=>[7,8,9,3,4,5,6,2,1]
[1,2,3,5,4,7,8,9,6]=>[6,9,8,7,4,5,3,2,1]
[1,2,3,5,4,8,9,6,7]=>[7,6,9,8,4,5,3,2,1]
[1,2,3,4,8,9,7,6,5]=>[5,6,7,9,8,4,3,2,1]
[6,7,8,1,2,3,5,4,9]=>[9,4,5,3,2,1,8,7,6]
[6,7,8,1,2,4,3,5,9]=>[9,5,3,4,2,1,8,7,6]
[1,7,8,9,2,3,4,6,5]=>[5,6,4,3,2,9,8,7,1]
[1,7,8,9,2,3,5,4,6]=>[6,4,5,3,2,9,8,7,1]
[3,2,5,4,7,6,1,9,8]=>[8,9,1,6,7,4,5,2,3]
[2,3,4,6,5,8,7,1,9]=>[9,1,7,8,5,6,4,3,2]
[1,3,5,6,7,8,9,4,2]=>[2,4,9,8,7,6,5,3,1]
[1,3,4,6,7,8,9,5,2]=>[2,5,9,8,7,6,4,3,1]
[3,4,6,7,8,9,5,2,1]=>[1,2,5,9,8,7,6,4,3]
[2,4,6,7,8,9,5,3,1]=>[1,3,5,9,8,7,6,4,2]
[2,4,5,7,8,9,6,3,1]=>[1,3,6,9,8,7,5,4,2]
[4,5,7,8,9,6,3,2,1]=>[1,2,3,6,9,8,7,5,4]
[1,3,5,7,8,9,6,4,2]=>[2,4,6,9,8,7,5,3,1]
[3,5,7,8,9,6,4,2,1]=>[1,2,4,6,9,8,7,5,3]
[2,4,6,8,9,7,5,3,1]=>[1,3,5,7,9,8,6,4,2]
[4,6,8,9,7,5,3,2,1]=>[1,2,3,5,7,9,8,6,4]
[8,2,1,9,7,6,5,4,3]=>[3,4,5,6,7,9,1,2,8]
[8,3,2,1,9,7,6,5,4]=>[4,5,6,7,9,1,2,3,8]
[4,3,2,9,8,7,6,1,5]=>[5,1,6,7,8,9,2,3,4]
[1,3,2,5,4,8,6,9,7]=>[7,9,6,8,4,5,2,3,1]
[1,3,2,6,4,8,5,9,7]=>[7,9,5,8,4,6,2,3,1]
[1,4,2,6,3,8,5,9,7]=>[7,9,5,8,3,6,2,4,1]
[2,1,4,6,3,8,5,9,7]=>[7,9,5,8,3,6,4,1,2]
[2,1,4,3,6,8,5,9,7]=>[7,9,5,8,6,3,4,1,2]
[1,2,4,6,3,8,5,9,7]=>[7,9,5,8,3,6,4,2,1]
[2,4,1,3,6,8,5,9,7]=>[7,9,5,8,6,3,1,4,2]
[2,1,4,6,3,5,8,9,7]=>[7,9,8,5,3,6,4,1,2]
[2,1,4,3,6,8,5,7,9]=>[9,7,5,8,6,3,4,1,2]
[6,7,8,9,3,1,2,4,5]=>[5,4,2,1,3,9,8,7,6]
[6,7,8,9,4,1,2,3,5]=>[5,3,2,1,4,9,8,7,6]
[6,7,8,9,3,2,1,4,5]=>[5,4,1,2,3,9,8,7,6]
[6,7,8,9,4,1,3,2,5]=>[5,2,3,1,4,9,8,7,6]
[6,7,8,9,5,1,2,4,3]=>[3,4,2,1,5,9,8,7,6]
[7,8,9,1,2,6,3,4,5]=>[5,4,3,6,2,1,9,8,7]
[6,5,8,9,1,2,7,3,4]=>[4,3,7,2,1,9,8,5,6]
[5,7,6,9,1,2,3,8,4]=>[4,8,3,2,1,9,6,7,5]
[5,6,8,7,1,2,3,4,9]=>[9,4,3,2,1,7,8,6,5]
[1,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,1]
[1,2,3,6,4,5,7,8,9]=>[9,8,7,5,4,6,3,2,1]
[1,2,3,4,7,5,6,8,9]=>[9,8,6,5,7,4,3,2,1]
[5,1,2,3,4,8,6,7,9]=>[9,7,6,8,4,3,2,1,5]
[5,1,2,3,4,7,6,9,8]=>[8,9,6,7,4,3,2,1,5]
[4,1,2,3,8,5,6,7,9]=>[9,7,6,5,8,3,2,1,4]
[4,1,2,3,7,5,6,9,8]=>[8,9,6,5,7,3,2,1,4]
[4,1,2,3,7,5,6,8,9]=>[9,8,6,5,7,3,2,1,4]
[4,1,2,3,6,5,7,8,9]=>[9,8,7,5,6,3,2,1,4]
[3,1,2,6,4,5,9,7,8]=>[8,7,9,5,4,6,2,1,3]
[3,1,2,6,4,5,8,7,9]=>[9,7,8,5,4,6,2,1,3]
[3,1,2,6,4,5,7,8,9]=>[9,8,7,5,4,6,2,1,3]
[3,1,2,5,4,7,6,8,9]=>[9,8,6,7,4,5,2,1,3]
[3,1,2,5,4,6,7,8,9]=>[9,8,7,6,4,5,2,1,3]
[3,4,5,7,6,8,9,1,2]=>[2,1,9,8,6,7,5,4,3]
[3,4,5,7,8,6,9,1,2]=>[2,1,9,6,8,7,5,4,3]
[3,4,5,8,6,7,9,1,2]=>[2,1,9,7,6,8,5,4,3]
[3,9,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,9,3]
[4,9,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,9,4]
[1,4,9,5,6,7,8,2,3]=>[3,2,8,7,6,5,9,4,1]
[2,4,9,5,6,7,8,3,1]=>[1,3,8,7,6,5,9,4,2]
[1,5,9,6,7,8,2,3,4]=>[4,3,2,8,7,6,9,5,1]
[2,5,9,6,7,8,3,4,1]=>[1,4,3,8,7,6,9,5,2]
[1,2,5,9,6,7,8,3,4]=>[4,3,8,7,6,9,5,2,1]
[1,3,5,9,6,7,8,4,2]=>[2,4,8,7,6,9,5,3,1]
[3,6,9,7,8,4,5,1,2]=>[2,1,5,4,8,7,9,6,3]
[1,3,6,9,7,8,4,5,2]=>[2,5,4,8,7,9,6,3,1]
[1,2,3,6,9,7,8,4,5]=>[5,4,8,7,9,6,3,2,1]
[2,4,6,9,7,8,5,3,1]=>[1,3,5,8,7,9,6,4,2]
[1,2,4,6,9,7,8,5,3]=>[3,5,8,7,9,6,4,2,1]
[8,7,6,5,1,4,3,2,9]=>[9,2,3,4,1,5,6,7,8]
[8,7,6,5,1,3,9,4,2]=>[2,4,9,3,1,5,6,7,8]
[3,1,4,5,6,7,2,9,8]=>[8,9,2,7,6,5,4,1,3]
[9,8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8,9]
[1,2,3,5,4,6,9,7,8]=>[8,7,9,6,4,5,3,2,1]
[2,3,1,4,5,9,6,7,8]=>[8,7,6,9,5,4,1,3,2]
[1,4,3,2,9,5,6,7,8]=>[8,7,6,5,9,2,3,4,1]
[1,5,2,9,4,3,6,7,8]=>[8,7,6,3,4,9,2,5,1]
[5,1,2,6,3,9,4,7,8]=>[8,7,4,9,3,6,2,1,5]
[3,1,4,2,5,6,7,9,8]=>[8,9,7,6,5,2,4,1,3]
[4,1,2,5,3,6,7,9,8]=>[8,9,7,6,3,5,2,1,4]
[2,3,4,1,9,5,6,7,8]=>[8,7,6,5,9,1,4,3,2]
[5,1,2,3,6,4,9,7,8]=>[8,7,9,4,6,3,2,1,5]
[1,9,4,3,5,2,6,7,8]=>[8,7,6,2,5,3,4,9,1]
[6,1,2,3,4,7,5,9,8]=>[8,9,5,7,4,3,2,1,6]
[5,1,4,9,2,6,3,7,8]=>[8,7,3,6,2,9,4,1,5]
[7,1,2,3,4,5,9,8,6]=>[6,8,9,5,4,3,2,1,7]
[1,2,5,9,3,6,7,4,8]=>[8,4,7,6,3,9,5,2,1]
[1,2,4,5,6,7,9,8,3]=>[3,8,9,7,6,5,4,2,1]
[1,2,3,5,6,8,9,4,7]=>[7,4,9,8,6,5,3,2,1]
[3,4,5,6,8,1,9,7,2]=>[2,7,9,1,8,6,5,4,3]
[2,4,5,6,1,8,9,7,3]=>[3,7,9,8,1,6,5,4,2]
[2,3,4,1,5,7,9,6,8]=>[8,6,9,7,5,1,4,3,2]
[2,3,1,4,6,8,9,7,5]=>[5,7,9,8,6,4,1,3,2]
[2,1,3,4,5,7,9,8,6]=>[6,8,9,7,5,4,3,1,2]
[1,3,4,5,6,2,9,8,7]=>[7,8,9,2,6,5,4,3,1]
[1,2,3,6,5,7,9,4,8]=>[8,4,9,7,5,6,3,2,1]
[3,4,6,7,1,5,9,8,2]=>[2,8,9,5,1,7,6,4,3]
[1,3,4,2,5,6,9,8,7]=>[7,8,9,6,5,2,4,3,1]
[2,5,6,1,4,7,9,8,3]=>[3,8,9,7,4,1,6,5,2]
[3,1,2,4,6,7,9,8,5]=>[5,8,9,7,6,4,2,1,3]
[3,9,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,9,3]
[4,9,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,9,4]
[3,9,2,8,7,1,6,5,4]=>[4,5,6,1,7,8,2,9,3]
[5,9,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,9,5]
[6,5,4,3,2,9,8,7,1]=>[1,7,8,9,2,3,4,5,6]
[4,3,2,9,8,7,6,5,1]=>[1,5,6,7,8,9,2,3,4]
[6,8,1,2,3,5,4,9,7]=>[7,9,4,5,3,2,1,8,6]
[6,9,8,7,5,4,3,1,2]=>[2,1,3,4,5,7,8,9,6]
[7,8,2,9,6,5,4,3,1]=>[1,3,4,5,6,9,2,8,7]
[2,3,4,6,7,5,9,1,8]=>[8,1,9,5,7,6,4,3,2]
[2,3,5,6,4,7,9,1,8]=>[8,1,9,7,4,6,5,3,2]
[2,4,5,3,6,7,9,8,1]=>[1,8,9,7,6,3,5,4,2]
[3,4,2,5,6,7,9,1,8]=>[8,1,9,7,6,5,2,4,3]
[2,3,4,6,7,9,8,1,5]=>[5,1,8,9,7,6,4,3,2]
[2,3,5,6,8,7,9,1,4]=>[4,1,9,7,8,6,5,3,2]
[2,4,5,7,6,8,9,3,1]=>[1,3,9,8,6,7,5,4,2]
[2,3,5,7,4,6,9,1,8]=>[8,1,9,6,4,7,5,3,2]
[3,4,6,5,7,8,9,1,2]=>[2,1,9,8,7,5,6,4,3]
[2,4,6,3,5,7,9,1,8]=>[8,1,9,7,5,3,6,4,2]
[3,5,2,4,6,7,9,8,1]=>[1,8,9,7,6,4,2,5,3]
[1,3,2,5,4,7,8,9,6]=>[6,9,8,7,4,5,2,3,1]
[1,3,2,4,6,7,8,9,5]=>[5,9,8,7,6,4,2,3,1]
[1,3,2,5,4,6,8,9,7]=>[7,9,8,6,4,5,2,3,1]
[5,1,4,3,2,9,8,7,6]=>[6,7,8,9,2,3,4,1,5]
[1,4,2,9,8,7,6,3,5]=>[5,3,6,7,8,9,2,4,1]
[5,6,7,8,1,2,3,9,4]=>[4,9,3,2,1,8,7,6,5]
[4,5,6,7,2,8,1,9,3]=>[3,9,1,8,2,7,6,5,4]
[5,6,7,2,8,1,3,9,4]=>[4,9,3,1,8,2,7,6,5]
[6,7,2,8,1,3,4,9,5]=>[5,9,4,3,1,8,2,7,6]
[7,2,8,1,3,4,5,9,6]=>[6,9,5,4,3,1,8,2,7]
[9,2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2,9]
[5,1,2,9,3,4,6,7,8]=>[8,7,6,4,3,9,2,1,5]
[9,2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2,9]
[9,2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2,9]
[5,1,9,2,4,3,6,7,8]=>[8,7,6,3,4,2,9,1,5]
[5,1,9,2,3,4,6,7,8]=>[8,7,6,4,3,2,9,1,5]
[7,1,8,6,5,4,3,2,9]=>[9,2,3,4,5,6,8,1,7]
[3,1,4,5,6,8,2,7,9]=>[9,7,2,8,6,5,4,1,3]
[8,3,4,5,6,2,1,7,9]=>[9,7,1,2,6,5,4,3,8]
[7,8,4,5,3,2,1,6,9]=>[9,6,1,2,3,5,4,8,7]
[9,3,4,5,2,1,7,6,8]=>[8,6,7,1,2,5,4,3,9]
[7,3,4,5,2,1,6,8,9]=>[9,8,6,1,2,5,4,3,7]
[6,7,8,4,3,2,1,5,9]=>[9,5,1,2,3,4,8,7,6]
[9,7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7,9]
[8,3,4,2,1,6,5,7,9]=>[9,7,5,6,1,2,4,3,8]
[6,3,4,2,1,5,7,8,9]=>[9,8,7,5,1,2,4,3,6]
[8,9,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,9,8]
[8,6,3,2,1,5,4,7,9]=>[9,7,4,5,1,2,3,6,8]
[5,6,3,2,1,4,7,8,9]=>[9,8,7,4,1,2,3,6,5]
[9,3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3,9]
[7,3,2,1,5,4,6,8,9]=>[9,8,6,4,5,1,2,3,7]
[6,2,1,4,3,5,7,8,9]=>[9,8,7,5,3,4,1,2,6]
[1,3,2,4,5,9,6,7,8]=>[8,7,6,9,5,4,2,3,1]
[1,2,6,3,4,7,5,8,9]=>[9,8,5,7,4,3,6,2,1]
[1,2,4,3,9,5,6,7,8]=>[8,7,6,5,9,3,4,2,1]
[7,9,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,9,7]
[7,9,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,9,7]
[7,9,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,9,7]
[7,9,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,9,7]
[7,9,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,9,7]
[7,6,1,2,3,4,5,9,8]=>[8,9,5,4,3,2,1,6,7]
[7,5,1,2,3,4,9,8,6]=>[6,8,9,4,3,2,1,5,7]
[7,4,1,2,3,9,8,5,6]=>[6,5,8,9,3,2,1,4,7]
[7,3,1,2,9,8,4,5,6]=>[6,5,4,8,9,2,1,3,7]
[7,2,1,9,8,3,4,5,6]=>[6,5,4,3,8,9,1,2,7]
[7,1,9,8,2,3,4,5,6]=>[6,5,4,3,2,8,9,1,7]
[1,9,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,9,1]
[1,5,2,7,3,9,4,6,8]=>[8,6,4,9,3,7,2,5,1]
[1,7,2,9,3,4,5,6,8]=>[8,6,5,4,3,9,2,7,1]
[9,4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4,9]
[1,3,4,6,8,2,5,7,9]=>[9,7,5,2,8,6,4,3,1]
[3,1,5,6,8,2,4,7,9]=>[9,7,4,2,8,6,5,1,3]
[3,5,1,7,8,2,4,6,9]=>[9,6,4,2,8,7,1,5,3]
[3,5,7,1,9,2,4,6,8]=>[8,6,4,2,9,1,7,5,3]
[3,5,1,7,9,2,4,6,8]=>[8,6,4,2,9,7,1,5,3]
[3,1,5,7,9,2,4,6,8]=>[8,6,4,2,9,7,5,1,3]
[4,1,2,5,6,8,3,7,9]=>[9,7,3,8,6,5,2,1,4]
[6,3,1,7,8,2,4,5,9]=>[9,5,4,2,8,7,1,3,6]
[3,5,1,7,2,4,6,8,9]=>[9,8,6,4,2,7,1,5,3]
[3,9,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,9,3]
[7,1,3,5,9,2,4,6,8]=>[8,6,4,2,9,5,3,1,7]
[5,3,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,3,5]
[2,1,6,7,5,8,4,9,3]=>[3,9,4,8,5,7,6,1,2]
[1,2,6,7,5,8,4,9,3]=>[3,9,4,8,5,7,6,2,1]
[2,3,1,7,6,8,5,9,4]=>[4,9,5,8,6,7,1,3,2]
[1,3,2,7,6,8,5,9,4]=>[4,9,5,8,6,7,2,3,1]
[1,2,3,7,6,8,5,9,4]=>[4,9,5,8,6,7,3,2,1]
[3,2,4,1,7,8,6,9,5]=>[5,9,6,8,7,1,4,2,3]
[1,3,4,2,7,8,6,9,5]=>[5,9,6,8,7,2,4,3,1]
[2,1,4,3,7,8,6,9,5]=>[5,9,6,8,7,3,4,1,2]
[1,2,4,3,7,8,6,9,5]=>[5,9,6,8,7,3,4,2,1]
[1,2,3,4,7,8,6,9,5]=>[5,9,6,8,7,4,3,2,1]
[1,4,3,5,2,8,7,9,6]=>[6,9,7,8,2,5,3,4,1]
[2,1,4,5,3,8,7,9,6]=>[6,9,7,8,3,5,4,1,2]
[1,2,4,5,3,8,7,9,6]=>[6,9,7,8,3,5,4,2,1]
[1,2,3,5,4,8,7,9,6]=>[6,9,7,8,4,5,3,2,1]
[1,3,2,5,6,4,8,9,7]=>[7,9,8,4,6,5,2,3,1]
[1,2,3,5,6,4,8,9,7]=>[7,9,8,4,6,5,3,2,1]
[1,2,4,3,6,5,8,9,7]=>[7,9,8,5,6,3,4,2,1]
[1,2,3,4,6,5,8,9,7]=>[7,9,8,5,6,4,3,2,1]
[9,5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5,9]
[8,4,3,2,9,7,6,1,5]=>[5,1,6,7,9,2,3,4,8]
[9,8,6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6,8,9]
[8,6,3,9,5,2,7,1,4]=>[4,1,7,2,5,9,3,6,8]
[8,7,3,9,6,5,2,1,4]=>[4,1,2,5,6,9,3,7,8]
[9,3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3,9]
[9,7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7,9]
[7,2,8,4,9,6,1,3,5]=>[5,3,1,6,9,4,8,2,7]
[9,8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8,9]
[2,3,5,4,6,7,8,9,1]=>[1,9,8,7,6,4,5,3,2]
[2,3,4,5,8,6,9,7,1]=>[1,7,9,6,8,5,4,3,2]
[2,3,6,4,7,5,8,9,1]=>[1,9,8,5,7,4,6,3,2]
[2,5,3,6,4,7,8,9,1]=>[1,9,8,7,4,6,3,5,2]
[4,2,5,3,6,7,8,9,1]=>[1,9,8,7,6,3,5,2,4]
[4,1,9,3,2,5,6,7,8]=>[8,7,6,5,2,3,9,1,4]
[6,1,2,9,4,5,3,7,8]=>[8,7,3,5,4,9,2,1,6]
[5,4,1,9,2,3,6,7,8]=>[8,7,6,3,2,9,1,4,5]
[7,5,1,3,9,2,6,4,8]=>[8,4,6,2,9,3,1,5,7]
[4,1,6,3,9,5,2,7,8]=>[8,7,2,5,9,3,6,1,4]
[6,3,5,1,9,2,4,7,8]=>[8,7,4,2,9,1,5,3,6]
[5,6,1,3,4,9,2,7,8]=>[8,7,2,9,4,3,1,6,5]
[8,1,7,3,2,9,6,4,5]=>[5,4,6,9,2,3,7,1,8]
[8,3,6,1,4,9,2,7,5]=>[5,7,2,9,4,1,6,3,8]
[5,7,1,6,2,9,4,3,8]=>[8,3,4,9,2,6,1,7,5]
[7,3,4,6,1,9,2,5,8]=>[8,5,2,9,1,6,4,3,7]
[6,8,1,7,2,3,9,4,5]=>[5,4,9,3,2,7,1,8,6]
[6,3,4,7,1,5,9,2,8]=>[8,2,9,5,1,7,4,3,6]
[6,8,5,1,7,2,9,3,4]=>[4,3,9,2,7,1,5,8,6]
[8,3,4,5,7,1,9,2,6]=>[6,2,9,1,7,5,4,3,8]
[3,5,1,7,2,8,4,9,6]=>[6,9,4,8,2,7,1,5,3]
[5,7,4,6,1,8,2,9,3]=>[3,9,2,8,1,6,4,7,5]
[7,3,4,5,6,8,1,9,2]=>[2,9,1,8,6,5,4,3,7]
[9,8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8,9]
[9,8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8,9]
[9,8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8,9]
[9,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,9]
[9,8,7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7,8,9]
[2,1,9,8,7,5,6,4,3]=>[3,4,6,5,7,8,9,1,2]
[1,9,2,8,6,7,5,4,3]=>[3,4,5,7,6,8,2,9,1]
[9,1,7,8,2,6,5,4,3]=>[3,4,5,6,2,8,7,1,9]
[8,9,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,9,8]
[9,8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8,9]
[1,2,3,6,5,4,7,8,9]=>[9,8,7,4,5,6,3,2,1]
[1,3,4,5,7,6,8,9,2]=>[2,9,8,6,7,5,4,3,1]
[3,4,6,7,5,8,9,1,2]=>[2,1,9,8,5,7,6,4,3]
[3,4,7,5,6,8,9,1,2]=>[2,1,9,8,6,5,7,4,3]
[1,3,4,7,5,6,8,9,2]=>[2,9,8,6,5,7,4,3,1]
[5,6,9,1,2,3,4,7,8]=>[8,7,4,3,2,1,9,6,5]
[8,7,1,6,5,4,3,2,9]=>[9,2,3,4,5,6,1,7,8]
[8,7,6,5,1,3,4,2,9]=>[9,2,4,3,1,5,6,7,8]
[8,7,6,1,4,5,3,2,9]=>[9,2,3,5,4,1,6,7,8]
[8,7,1,5,6,4,3,2,9]=>[9,2,3,4,6,5,1,7,8]
[8,1,6,7,5,4,3,2,9]=>[9,2,3,4,5,7,6,1,8]
[1,2,6,3,5,4,7,8,9]=>[9,8,7,4,5,3,6,2,1]
[1,2,8,3,7,4,6,5,9]=>[9,5,6,4,7,3,8,2,1]
[1,2,7,3,6,4,5,8,9]=>[9,8,5,4,6,3,7,2,1]
[1,2,7,3,6,4,8,5,9]=>[9,5,8,4,6,3,7,2,1]
[1,2,5,3,4,6,9,7,8]=>[8,7,9,6,4,3,5,2,1]
[1,3,5,6,7,4,8,9,2]=>[2,9,8,4,7,6,5,3,1]
[2,1,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,1,2]
[1,3,2,6,4,5,7,8,9]=>[9,8,7,5,4,6,2,3,1]
[2,1,4,3,7,5,6,8,9]=>[9,8,6,5,7,3,4,1,2]
[1,3,2,5,4,8,6,7,9]=>[9,7,6,8,4,5,2,3,1]
[8,7,6,1,2,9,5,4,3]=>[3,4,5,9,2,1,6,7,8]
[8,7,6,5,1,2,9,4,3]=>[3,4,9,2,1,5,6,7,8]
[7,5,6,8,9,1,2,3,4]=>[4,3,2,1,9,8,6,5,7]
[8,5,6,7,9,1,2,3,4]=>[4,3,2,1,9,7,6,5,8]
[8,4,6,7,9,1,2,3,5]=>[5,3,2,1,9,7,6,4,8]
[7,3,6,8,9,1,2,4,5]=>[5,4,2,1,9,8,6,3,7]
[8,5,7,6,9,1,2,3,4]=>[4,3,2,1,9,6,7,5,8]
[9,5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5,9]
[7,4,5,6,8,9,1,2,3]=>[3,2,1,9,8,6,5,4,7]
[7,3,6,8,9,2,1,4,5]=>[5,4,1,2,9,8,6,3,7]
[6,2,7,8,9,1,4,3,5]=>[5,3,4,1,9,8,7,2,6]
[1,6,7,8,9,2,3,5,4]=>[4,5,3,2,9,8,7,6,1]
[5,9,2,6,7,8,1,3,4]=>[4,3,1,8,7,6,2,9,5]
[6,9,4,7,2,5,8,1,3]=>[3,1,8,5,2,7,4,9,6]
[6,9,4,3,2,7,8,1,5]=>[5,1,8,7,2,3,4,9,6]
[3,5,7,9,6,4,2,8,1]=>[1,8,2,4,6,9,7,5,3]
[5,7,9,4,3,6,2,8,1]=>[1,8,2,6,3,4,9,7,5]
[8,7,6,2,5,3,4,1,9]=>[9,1,4,3,5,2,6,7,8]
[8,7,6,1,5,2,4,3,9]=>[9,3,4,2,5,1,6,7,8]
[7,6,2,5,4,9,3,1,8]=>[8,1,3,9,4,5,2,6,7]
[8,7,6,2,4,5,1,9,3]=>[3,9,1,5,4,2,6,7,8]
[8,6,1,5,4,2,3,9,7]=>[7,9,3,2,4,5,1,6,8]
[8,7,6,1,3,5,4,9,2]=>[2,9,4,5,3,1,6,7,8]
[6,2,5,4,9,8,3,1,7]=>[7,1,3,8,9,4,5,2,6]
[2,7,3,6,4,5,8,1,9]=>[9,1,8,5,4,6,3,7,2]
[8,7,5,6,9,2,1,4,3]=>[3,4,1,2,9,6,5,7,8]
[8,1,5,4,3,9,2,7,6]=>[6,7,2,9,3,4,5,1,8]
[1,6,2,5,3,4,8,7,9]=>[9,7,8,4,3,5,2,6,1]
[8,7,4,6,1,5,9,3,2]=>[2,3,9,5,1,6,4,7,8]
[8,7,6,5,4,9,2,3,1]=>[1,3,2,9,4,5,6,7,8]
[7,6,5,8,9,4,3,2,1]=>[1,2,3,4,9,8,5,6,7]
[1,9,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,9,1]
[3,4,5,6,2,7,8,9,1]=>[1,9,8,7,2,6,5,4,3]
[3,5,4,2,6,7,8,9,1]=>[1,9,8,7,6,2,4,5,3]
[3,4,6,5,2,7,8,9,1]=>[1,9,8,7,2,5,6,4,3]
[3,4,5,7,6,2,8,9,1]=>[1,9,8,2,6,7,5,4,3]
[3,4,5,6,8,7,2,9,1]=>[1,9,2,7,8,6,5,4,3]
[3,4,5,6,7,9,8,2,1]=>[1,2,8,9,7,6,5,4,3]
[5,6,8,1,2,3,4,7,9]=>[9,7,4,3,2,1,8,6,5]
[4,5,6,8,1,2,3,7,9]=>[9,7,3,2,1,8,6,5,4]
[9,2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2,9]
[9,2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2,9]
[9,2,3,8,5,6,7,1,4]=>[4,1,7,6,5,8,3,2,9]
[9,2,8,4,5,6,7,1,3]=>[3,1,7,6,5,4,8,2,9]
[9,2,3,4,5,1,8,6,7]=>[7,6,8,1,5,4,3,2,9]
[9,2,3,4,1,8,7,5,6]=>[6,5,7,8,1,4,3,2,9]
[9,2,3,1,8,6,7,5,4]=>[4,5,7,6,8,1,3,2,9]
[9,2,1,8,5,6,7,3,4]=>[4,3,7,6,5,8,1,2,9]
[9,1,8,4,5,6,7,2,3]=>[3,2,7,6,5,4,8,1,9]
[9,2,3,4,5,8,1,6,7]=>[7,6,1,8,5,4,3,2,9]
[9,2,3,4,8,1,7,5,6]=>[6,5,7,1,8,4,3,2,9]
[9,2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2,9]
[9,2,3,4,1,5,8,6,7]=>[7,6,8,5,1,4,3,2,9]
[9,2,8,1,5,6,7,3,4]=>[4,3,7,6,5,1,8,2,9]
[9,2,3,1,4,8,7,5,6]=>[6,5,7,8,4,1,3,2,9]
[9,8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8,9]
[9,2,1,3,8,6,7,5,4]=>[4,5,7,6,8,3,1,2,9]
[9,1,2,8,5,6,7,3,4]=>[4,3,7,6,5,8,2,1,9]
[7,6,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,6,7]
[8,7,6,3,2,1,4,5,9]=>[9,5,4,1,2,3,6,7,8]
[6,2,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,2,6]
[2,6,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,6,2]
[6,5,1,2,3,4,7,8,9]=>[9,8,7,4,3,2,1,5,6]
[2,1,4,6,3,5,8,7,9]=>[9,7,8,5,3,6,4,1,2]
[2,1,4,3,6,8,9,5,7]=>[7,5,9,8,6,3,4,1,2]
[5,2,3,6,7,8,9,1,4]=>[4,1,9,8,7,6,3,2,5]
[4,5,7,8,2,6,9,1,3]=>[3,1,9,6,2,8,7,5,4]
[6,7,9,8,1,2,3,4,5]=>[5,4,3,2,1,8,9,7,6]
[3,4,5,6,7,9,8,1,2]=>[2,1,8,9,7,6,5,4,3]
[3,4,5,2,7,8,9,6,1]=>[1,6,9,8,7,2,5,4,3]
[3,5,6,7,8,9,2,1,4]=>[4,1,2,9,8,7,6,5,3]
[4,2,3,5,1,6,7,8,9]=>[9,8,7,6,1,5,3,2,4]
[5,2,3,4,6,1,7,8,9]=>[9,8,7,1,6,4,3,2,5]
[6,2,3,4,5,7,1,8,9]=>[9,8,1,7,5,4,3,2,6]
[7,2,3,4,5,6,8,1,9]=>[9,1,8,6,5,4,3,2,7]
[8,7,6,5,4,9,2,1,3]=>[3,1,2,9,4,5,6,7,8]
[8,7,6,5,9,3,2,1,4]=>[4,1,2,3,9,5,6,7,8]
[8,7,6,9,4,3,2,1,5]=>[5,1,2,3,4,9,6,7,8]
[8,7,9,5,4,3,2,1,6]=>[6,1,2,3,4,5,9,7,8]
[8,1,7,6,5,4,9,3,2]=>[2,3,9,4,5,6,7,1,8]
[8,5,9,7,4,3,2,1,6]=>[6,1,2,3,4,7,9,5,8]
[3,5,2,7,4,9,8,1,6]=>[6,1,8,9,4,7,2,5,3]
[3,5,2,7,9,8,1,6,4]=>[4,6,1,8,9,7,2,5,3]
[3,5,7,9,1,8,4,6,2]=>[2,6,4,8,1,9,7,5,3]
[5,1,7,9,3,8,4,6,2]=>[2,6,4,8,3,9,7,1,5]
[4,1,7,3,9,8,5,6,2]=>[2,6,5,8,9,3,7,1,4]
[4,1,6,3,9,5,8,7,2]=>[2,7,8,5,9,3,6,1,4]
[3,5,2,7,6,9,8,4,1]=>[1,4,8,9,6,7,2,5,3]
[3,5,4,7,9,8,2,6,1]=>[1,6,2,8,9,7,4,5,3]
[2,7,5,9,1,8,4,6,3]=>[3,6,4,8,1,9,5,7,2]
[2,5,7,9,3,8,4,6,1]=>[1,6,4,8,3,9,7,5,2]
[4,7,1,2,9,8,5,6,3]=>[3,6,5,8,9,2,1,7,4]
[5,1,6,9,3,4,8,7,2]=>[2,7,8,4,3,9,6,1,5]
[4,1,7,3,8,9,5,6,2]=>[2,6,5,9,8,3,7,1,4]
[4,8,7,6,5,1,3,2,9]=>[9,2,3,1,5,6,7,8,4]
[1,2,4,3,6,7,8,9,5]=>[5,9,8,7,6,3,4,2,1]
[1,3,2,6,8,4,5,9,7]=>[7,9,5,4,8,6,2,3,1]
[1,4,6,2,3,8,5,9,7]=>[7,9,5,8,3,2,6,4,1]
[3,4,5,6,1,7,9,2,8]=>[8,2,9,7,1,6,5,4,3]
[3,1,4,6,7,8,9,2,5]=>[5,2,9,8,7,6,4,1,3]
[1,9,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,9,1]
[4,5,6,7,1,8,9,2,3]=>[3,2,9,8,1,7,6,5,4]
[2,3,4,8,5,9,6,7,1]=>[1,7,6,9,5,8,4,3,2]
[1,3,7,4,8,5,6,9,2]=>[2,9,6,5,8,4,7,3,1]
[2,3,4,8,6,5,9,1,7]=>[7,1,9,5,6,8,4,3,2]
[2,4,8,5,6,9,7,1,3]=>[3,1,7,9,6,5,8,4,2]
[2,3,4,9,7,5,6,1,8]=>[8,1,6,5,7,9,4,3,2]
[1,7,2,8,4,5,6,9,3]=>[3,9,6,5,4,8,2,7,1]
[2,3,5,4,1,8,9,6,7]=>[7,6,9,8,1,4,5,3,2]
[8,2,1,9,5,6,7,3,4]=>[4,3,7,6,5,9,1,2,8]
[2,3,9,4,6,5,1,7,8]=>[8,7,1,5,6,4,9,3,2]
[3,9,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,9,3]
[4,2,8,1,6,5,7,3,9]=>[9,3,7,5,6,1,8,2,4]
[3,9,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,9,3]
[5,1,2,3,4,6,7,9,8]=>[8,9,7,6,4,3,2,1,5]
[3,5,1,2,4,6,7,9,8]=>[8,9,7,6,4,2,1,5,3]
[4,5,1,2,3,6,7,9,8]=>[8,9,7,6,3,2,1,5,4]
[4,6,2,3,5,7,8,9,1]=>[1,9,8,7,5,3,2,6,4]
[5,6,2,3,4,7,8,9,1]=>[1,9,8,7,4,3,2,6,5]
[4,3,2,9,1,8,7,6,5]=>[5,6,7,8,1,9,2,3,4]
[1,3,4,5,8,6,7,9,2]=>[2,9,7,6,8,5,4,3,1]
[1,3,4,5,7,8,6,9,2]=>[2,9,6,8,7,5,4,3,1]
[2,5,1,6,9,3,4,7,8]=>[8,7,4,3,9,6,1,5,2]
[2,5,1,6,7,3,4,8,9]=>[9,8,4,3,7,6,1,5,2]
[2,3,1,6,7,4,5,8,9]=>[9,8,5,4,7,6,1,3,2]
[3,4,1,5,7,2,6,8,9]=>[9,8,6,2,7,5,1,4,3]
[3,4,1,7,8,2,5,9,6]=>[6,9,5,2,8,7,1,4,3]
[3,4,1,7,2,5,8,9,6]=>[6,9,8,5,2,7,1,4,3]
[2,5,1,6,7,8,3,4,9]=>[9,4,3,8,7,6,1,5,2]
[2,3,1,6,9,4,5,7,8]=>[8,7,5,4,9,6,1,3,2]
[1,5,2,6,7,3,4,8,9]=>[9,8,4,3,7,6,2,5,1]
[2,4,1,5,7,3,6,8,9]=>[9,8,6,3,7,5,1,4,2]
[3,6,1,7,8,2,4,9,5]=>[5,9,4,2,8,7,1,6,3]
[3,4,1,7,2,5,6,8,9]=>[9,8,6,5,2,7,1,4,3]
[3,1,4,7,8,2,5,9,6]=>[6,9,5,2,8,7,4,1,3]
[4,3,2,1,6,8,9,7,5]=>[5,7,9,8,6,1,2,3,4]
[5,4,3,2,1,7,8,6,9]=>[9,6,8,7,1,2,3,4,5]
[2,1,4,6,8,9,7,5,3]=>[3,5,7,9,8,6,4,1,2]
[3,2,1,5,7,8,6,4,9]=>[9,4,6,8,7,5,1,2,3]
[3,2,1,7,4,5,8,9,6]=>[6,9,8,5,4,7,1,2,3]
[4,3,2,1,6,7,5,8,9]=>[9,8,5,7,6,1,2,3,4]
[1,7,2,4,5,3,8,9,6]=>[6,9,8,3,5,4,2,7,1]
[2,1,4,6,7,5,3,8,9]=>[9,8,3,5,7,6,4,1,2]
[2,1,6,3,4,7,8,5,9]=>[9,5,8,7,4,3,6,1,2]
[3,2,1,5,6,4,7,8,9]=>[9,8,7,4,6,5,1,2,3]
[7,4,1,2,5,8,9,6,3]=>[3,6,9,8,5,2,1,4,7]
[6,1,3,4,2,7,8,5,9]=>[9,5,8,7,2,4,3,1,6]
[1,3,6,7,2,4,8,9,5]=>[5,9,8,4,2,7,6,3,1]
[1,5,2,3,6,7,4,8,9]=>[9,8,4,7,6,3,2,5,1]
[2,5,6,1,3,7,8,4,9]=>[9,4,8,7,3,1,6,5,2]
[4,1,2,5,6,3,7,8,9]=>[9,8,7,3,6,5,2,1,4]
[9,5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5,9]
[9,6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6,9]
[9,7,3,4,5,6,2,8,1]=>[1,8,2,6,5,4,3,7,9]
[3,1,2,9,5,6,7,8,4]=>[4,8,7,6,5,9,2,1,3]
[4,3,2,1,9,6,7,8,5]=>[5,8,7,6,9,1,2,3,4]
[7,6,3,4,5,2,1,9,8]=>[8,9,1,2,5,4,3,6,7]
[7,6,5,4,3,8,9,2,1]=>[1,2,9,8,3,4,5,6,7]
[7,6,5,4,8,9,3,2,1]=>[1,2,3,9,8,4,5,6,7]
[3,1,4,2,7,5,8,9,6]=>[6,9,8,5,7,2,4,1,3]
[2,1,5,3,6,9,4,7,8]=>[8,7,4,9,6,3,5,1,2]
[3,1,4,2,8,5,9,6,7]=>[7,6,9,5,8,2,4,1,3]
[2,1,5,3,6,4,7,8,9]=>[9,8,7,4,6,3,5,1,2]
[3,1,4,2,7,8,9,5,6]=>[6,5,9,8,7,2,4,1,3]
[2,1,5,6,9,3,4,7,8]=>[8,7,4,3,9,6,5,1,2]
[3,4,7,1,2,5,8,9,6]=>[6,9,8,5,2,1,7,4,3]
[9,2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2,9]
[7,9,4,5,6,8,1,3,2]=>[2,3,1,8,6,5,4,9,7]
[8,3,4,5,1,6,9,2,7]=>[7,2,9,6,1,5,4,3,8]
[8,2,9,5,6,7,3,1,4]=>[4,1,3,7,6,5,9,2,8]
[8,2,4,5,6,1,7,9,3]=>[3,9,7,1,6,5,4,2,8]
[2,7,9,5,6,8,1,4,3]=>[3,4,1,8,6,5,9,7,2]
[9,8,4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4,8,9]
[6,3,4,1,5,8,9,2,7]=>[7,2,9,8,5,1,4,3,6]
[3,2,8,9,6,7,4,1,5]=>[5,1,4,7,6,9,8,2,3]
[9,2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2,9]
[7,2,4,5,1,6,8,9,3]=>[3,9,8,6,1,5,4,2,7]
[8,6,9,1,7,5,4,3,2]=>[2,3,4,5,7,1,9,6,8]
[7,9,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,9,7]
[4,9,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,9,4]
[8,9,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,9,8]
[4,6,8,9,3,5,7,2,1]=>[1,2,7,5,3,9,8,6,4]
[5,2,3,1,4,6,7,8,9]=>[9,8,7,6,4,1,3,2,5]
[6,2,3,4,1,5,7,8,9]=>[9,8,7,5,1,4,3,2,6]
[7,2,3,4,5,1,6,8,9]=>[9,8,6,1,5,4,3,2,7]
[8,2,3,4,5,6,1,7,9]=>[9,7,1,6,5,4,3,2,8]
[1,2,5,6,7,8,9,4,3]=>[3,4,9,8,7,6,5,2,1]
[1,5,6,7,8,9,2,4,3]=>[3,4,2,9,8,7,6,5,1]
[1,9,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,9,1]
[1,2,3,6,7,8,9,5,4]=>[4,5,9,8,7,6,3,2,1]
[1,8,4,5,6,7,9,3,2]=>[2,3,9,7,6,5,4,8,1]
[1,9,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,9,1]
[1,7,8,3,4,5,6,9,2]=>[2,9,6,5,4,3,8,7,1]
[1,9,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,9,1]
[6,5,4,7,3,2,1,8,9]=>[9,8,1,2,3,7,4,5,6]
[6,5,4,3,7,2,1,8,9]=>[9,8,1,2,7,3,4,5,6]
[6,5,7,4,8,3,9,1,2]=>[2,1,9,3,8,4,7,5,6]
[6,5,7,4,8,3,9,2,1]=>[1,2,9,3,8,4,7,5,6]
[2,6,7,5,8,4,9,1,3]=>[3,1,9,4,8,5,7,6,2]
[2,6,7,5,8,4,9,3,1]=>[1,3,9,4,8,5,7,6,2]
[6,7,5,8,4,9,1,3,2]=>[2,3,1,9,4,8,5,7,6]
[2,6,7,5,9,1,4,8,3]=>[3,8,4,1,9,5,7,6,2]
[2,6,7,5,9,3,8,4,1]=>[1,4,8,3,9,5,7,6,2]
[6,7,5,8,4,9,2,3,1]=>[1,3,2,9,4,8,5,7,6]
[6,8,9,5,7,4,3,2,1]=>[1,2,3,4,7,5,9,8,6]
[5,8,9,4,7,3,6,2,1]=>[1,2,6,3,7,4,9,8,5]
[5,7,8,9,4,6,3,2,1]=>[1,2,3,6,4,9,8,7,5]
[4,8,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,8,4]
[4,7,9,3,6,8,2,5,1]=>[1,5,2,8,6,3,9,7,4]
[4,7,8,9,3,6,2,5,1]=>[1,5,2,6,3,9,8,7,4]
[4,6,7,8,9,3,5,2,1]=>[1,2,5,3,9,8,7,6,4]
[3,6,8,9,2,5,7,1,4]=>[4,1,7,5,2,9,8,6,3]
[3,6,7,8,9,2,5,1,4]=>[4,1,5,2,9,8,7,6,3]
[3,5,7,8,9,2,4,6,1]=>[1,6,4,2,9,8,7,5,3]
[2,4,6,8,9,1,3,5,7]=>[7,5,3,1,9,8,6,4,2]
[8,7,6,5,9,2,4,1,3]=>[3,1,4,2,9,5,6,7,8]
[8,7,6,5,2,4,1,3,9]=>[9,3,1,4,2,5,6,7,8]
[8,7,9,3,6,2,5,1,4]=>[4,1,5,2,6,3,9,7,8]
[8,7,3,6,2,5,1,4,9]=>[9,4,1,5,2,6,3,7,8]
[8,7,6,3,5,9,1,2,4]=>[4,2,1,9,5,3,6,7,8]
[8,7,6,3,5,1,2,4,9]=>[9,4,2,1,5,3,6,7,8]
[8,4,7,3,6,9,1,2,5]=>[5,2,1,9,6,3,7,4,8]
[8,4,7,3,6,1,2,5,9]=>[9,5,2,1,6,3,7,4,8]
[8,7,2,4,6,1,3,5,9]=>[9,5,3,1,6,4,2,7,8]
[8,7,4,6,1,2,3,5,9]=>[9,5,3,2,1,6,4,7,8]
[5,8,9,2,4,7,1,3,6]=>[6,3,1,7,4,2,9,8,5]
[5,8,2,4,7,1,3,6,9]=>[9,6,3,1,7,4,2,8,5]
[5,8,4,7,1,2,3,6,9]=>[9,6,3,2,1,7,4,8,5]
[8,3,5,7,9,1,2,4,6]=>[6,4,2,1,9,7,5,3,8]
[8,3,5,7,1,2,4,6,9]=>[9,6,4,2,1,7,5,3,8]
[8,5,7,1,2,3,4,6,9]=>[9,6,4,3,2,1,7,5,8]
[4,6,8,1,2,3,5,7,9]=>[9,7,5,3,2,1,8,6,4]
[8,9,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,9,8]
[8,1,2,3,4,9,5,7,6]=>[6,7,5,9,4,3,2,1,8]
[8,2,3,4,5,6,9,7,1]=>[1,7,9,6,5,4,3,2,8]
[7,1,8,9,5,4,3,2,6]=>[6,2,3,4,5,9,8,1,7]
[5,4,6,3,9,2,7,1,8]=>[8,1,7,2,9,3,6,4,5]
[8,4,5,3,6,2,7,1,9]=>[9,1,7,2,6,3,5,4,8]
[4,9,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,9,4]
[4,5,3,8,6,2,7,1,9]=>[9,1,7,2,6,8,3,5,4]
[4,5,3,6,2,8,7,1,9]=>[9,1,7,8,2,6,3,5,4]
[4,5,3,6,2,7,1,9,8]=>[8,9,1,7,2,6,3,5,4]
[5,4,8,3,9,2,6,1,7]=>[7,1,6,2,9,3,8,4,5]
[9,4,8,3,5,2,7,1,6]=>[6,1,7,2,5,3,8,4,9]
[9,4,3,8,2,6,1,7,5]=>[5,7,1,6,2,8,3,4,9]
[8,5,3,9,6,2,7,1,4]=>[4,1,7,2,6,9,3,5,8]
[4,5,2,9,6,1,8,7,3]=>[3,7,8,1,6,9,2,5,4]
[4,5,3,6,1,9,8,7,2]=>[2,7,8,9,1,6,3,5,4]
[7,4,8,3,5,2,6,1,9]=>[9,1,6,2,5,3,8,4,7]
[6,4,3,8,5,2,7,1,9]=>[9,1,7,2,5,8,3,4,6]
[7,4,8,3,9,2,5,1,6]=>[6,1,5,2,9,3,8,4,7]
[4,3,9,5,6,2,7,1,8]=>[8,1,7,2,6,5,9,3,4]
[6,3,9,4,2,8,1,7,5]=>[5,7,1,8,2,4,9,3,6]
[5,3,8,6,2,4,7,1,9]=>[9,1,7,4,2,6,8,3,5]
[3,9,5,8,2,6,1,7,4]=>[4,7,1,6,2,8,5,9,3]
[4,5,2,6,1,8,7,3,9]=>[9,3,7,8,1,6,2,5,4]
[8,5,2,4,9,6,1,7,3]=>[3,7,1,6,9,4,2,5,8]
[4,5,1,9,6,3,8,7,2]=>[2,7,8,3,6,9,1,5,4]
[2,3,4,7,8,6,5,9,1]=>[1,9,5,6,8,7,4,3,2]
[2,3,6,7,5,4,8,9,1]=>[1,9,8,4,5,7,6,3,2]
[2,5,6,4,3,7,8,9,1]=>[1,9,8,7,3,4,6,5,2]
[4,5,3,2,6,7,8,9,1]=>[1,9,8,7,6,2,3,5,4]
[4,2,1,5,6,7,8,9,3]=>[3,9,8,7,6,5,1,2,4]
[2,3,4,5,6,1,7,9,8]=>[8,9,7,1,6,5,4,3,2]
[2,3,4,1,5,6,7,9,8]=>[8,9,7,6,5,1,4,3,2]
[2,3,4,1,6,5,7,9,8]=>[8,9,7,5,6,1,4,3,2]
[2,3,1,5,4,6,7,9,8]=>[8,9,7,6,4,5,1,3,2]
[2,1,4,3,5,6,7,9,8]=>[8,9,7,6,5,3,4,1,2]
[1,2,4,3,6,8,9,7,5]=>[5,7,9,8,6,3,4,2,1]
[1,2,9,6,3,4,5,7,8]=>[8,7,5,4,3,6,9,2,1]
[1,2,4,3,5,9,6,7,8]=>[8,7,6,9,5,3,4,2,1]
[4,1,5,9,2,3,6,7,8]=>[8,7,6,3,2,9,5,1,4]
[5,1,2,6,9,3,4,7,8]=>[8,7,4,3,9,6,2,1,5]
[6,1,2,3,7,9,4,5,8]=>[8,5,4,9,7,3,2,1,6]
[7,1,2,3,4,8,9,5,6]=>[6,5,9,8,4,3,2,1,7]
[8,1,2,3,4,5,7,9,6]=>[6,9,7,5,4,3,2,1,8]
[1,7,2,9,8,3,6,4,5]=>[5,4,6,3,8,9,2,7,1]
[1,7,2,6,3,5,9,8,4]=>[4,8,9,5,3,6,2,7,1]
[1,7,2,6,8,3,5,4,9]=>[9,4,5,3,8,6,2,7,1]
[1,7,8,2,6,3,5,4,9]=>[9,4,5,3,6,2,8,7,1]
[1,6,3,8,2,9,7,4,5]=>[5,4,7,9,2,8,3,6,1]
[1,7,2,5,4,9,6,3,8]=>[8,3,6,9,4,5,2,7,1]
[1,7,2,6,3,4,8,5,9]=>[9,5,8,4,3,6,2,7,1]
[1,7,2,6,8,3,5,9,4]=>[4,9,5,3,8,6,2,7,1]
[1,7,9,3,5,2,6,8,4]=>[4,8,6,2,5,3,9,7,1]
[1,7,8,9,2,6,3,5,4]=>[4,5,3,6,2,9,8,7,1]
[1,6,3,8,2,5,4,7,9]=>[9,7,4,5,2,8,3,6,1]
[1,7,2,5,6,3,4,8,9]=>[9,8,4,3,6,5,2,7,1]
[1,5,4,7,2,9,6,3,8]=>[8,3,6,9,2,7,4,5,1]
[1,7,2,6,5,9,8,3,4]=>[4,3,8,9,5,6,2,7,1]
[1,7,2,4,9,5,6,3,8]=>[8,3,6,5,9,4,2,7,1]
[1,7,4,3,5,2,6,8,9]=>[9,8,6,2,5,3,4,7,1]
[1,7,2,6,5,9,4,8,3]=>[3,8,4,9,5,6,2,7,1]
[1,7,8,3,5,2,6,4,9]=>[9,4,6,2,5,3,8,7,1]
[1,7,4,2,6,8,3,5,9]=>[9,5,3,8,6,2,4,7,1]
[1,7,9,2,6,8,3,5,4]=>[4,5,3,8,6,2,9,7,1]
[6,9,2,3,4,5,1,7,8]=>[8,7,1,5,4,3,2,9,6]
[7,9,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,9,7]
[2,1,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,1,2]
[8,7,6,5,2,1,3,4,9]=>[9,4,3,1,2,5,6,7,8]
[8,7,2,1,3,4,5,6,9]=>[9,6,5,4,3,1,2,7,8]
[4,5,6,7,8,3,9,2,1]=>[1,2,9,3,8,7,6,5,4]
[5,6,7,8,4,9,3,2,1]=>[1,2,3,9,4,8,7,6,5]
[6,7,8,5,9,4,3,2,1]=>[1,2,3,4,9,5,8,7,6]
[5,7,6,9,8,2,4,1,3]=>[3,1,4,2,8,9,6,7,5]
[5,7,6,8,2,9,4,1,3]=>[3,1,4,9,2,8,6,7,5]
[5,7,8,6,2,9,4,1,3]=>[3,1,4,9,2,6,8,7,5]
[7,5,8,6,2,9,4,1,3]=>[3,1,4,9,2,6,8,5,7]
[6,5,8,7,2,9,4,1,3]=>[3,1,4,9,2,7,8,5,6]
[7,6,9,8,2,1,5,3,4]=>[4,3,5,1,2,8,9,6,7]
[7,6,9,8,1,2,5,3,4]=>[4,3,5,2,1,8,9,6,7]
[7,6,9,8,1,2,4,3,5]=>[5,3,4,2,1,8,9,6,7]
[5,8,7,9,2,4,1,3,6]=>[6,3,1,4,2,9,7,8,5]
[5,7,8,1,6,9,4,2,3]=>[3,2,4,9,6,1,8,7,5]
[7,8,5,6,2,9,4,1,3]=>[3,1,4,9,2,6,5,8,7]
[5,6,8,7,2,9,4,1,3]=>[3,1,4,9,2,7,8,6,5]
[8,6,9,7,2,1,5,3,4]=>[4,3,5,1,2,7,9,6,8]
[6,5,8,7,1,9,4,2,3]=>[3,2,4,9,1,7,8,5,6]
[7,6,9,8,2,1,4,3,5]=>[5,3,4,1,2,8,9,6,7]
[9,6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6,9]
[9,7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7,9]
[8,1,7,9,6,5,4,3,2]=>[2,3,4,5,6,9,7,1,8]
[3,1,9,8,7,6,5,2,4]=>[4,2,5,6,7,8,9,1,3]
[3,5,4,1,6,7,8,9,2]=>[2,9,8,7,6,1,4,5,3]
[8,9,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,9,8]
[3,9,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,9,3]
[9,2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2,9]
[5,1,3,9,2,4,6,7,8]=>[8,7,6,4,2,9,3,1,5]
[9,2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2,9]
[3,1,4,2,9,5,6,7,8]=>[8,7,6,5,9,2,4,1,3]
[5,2,4,1,3,9,6,7,8]=>[8,7,6,9,3,1,4,2,5]
[5,1,3,6,2,4,9,7,8]=>[8,7,9,4,2,6,3,1,5]
[7,2,4,6,1,3,5,9,8]=>[8,9,5,3,1,6,4,2,7]
[7,1,3,5,8,2,4,6,9]=>[9,6,4,2,8,5,3,1,7]
[2,4,5,9,1,3,6,7,8]=>[8,7,6,3,1,9,5,4,2]
[2,5,6,7,9,1,3,4,8]=>[8,4,3,1,9,7,6,5,2]
[2,3,5,6,9,1,4,7,8]=>[8,7,4,1,9,6,5,3,2]
[2,6,7,8,5,9,1,3,4]=>[4,3,1,9,5,8,7,6,2]
[2,4,5,6,7,9,1,3,8]=>[8,3,1,9,7,6,5,4,2]
[2,3,4,6,7,9,1,5,8]=>[8,5,1,9,7,6,4,3,2]
[4,5,3,7,8,6,9,1,2]=>[2,1,9,6,8,7,3,5,4]
[2,4,5,7,8,6,9,1,3]=>[3,1,9,6,8,7,5,4,2]
[2,3,4,7,8,6,9,1,5]=>[5,1,9,6,8,7,4,3,2]
[2,3,4,6,5,8,7,9,1]=>[1,9,7,8,5,6,4,3,2]
[9,8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8,9]
[8,6,3,4,5,2,7,1,9]=>[9,1,7,2,5,4,3,6,8]
[1,9,7,4,5,6,3,8,2]=>[2,8,3,6,5,4,7,9,1]
[4,7,1,2,9,3,5,6,8]=>[8,6,5,3,9,2,1,7,4]
[3,2,8,4,5,6,7,1,9]=>[9,1,7,6,5,4,8,2,3]
[1,4,3,9,5,6,7,8,2]=>[2,8,7,6,5,9,3,4,1]
[2,9,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,9,2]
[3,1,5,2,4,6,7,8,9]=>[9,8,7,6,4,2,5,1,3]
[7,6,5,9,8,4,3,2,1]=>[1,2,3,4,8,9,5,6,7]
[6,5,7,4,8,2,1,9,3]=>[3,9,1,2,8,4,7,5,6]
[6,5,7,4,8,2,9,3,1]=>[1,3,9,2,8,4,7,5,6]
[5,4,6,3,7,1,9,8,2]=>[2,8,9,1,7,3,6,4,5]
[1,4,7,2,5,8,3,6,9]=>[9,6,3,8,5,2,7,4,1]
[1,4,7,3,6,9,2,5,8]=>[8,5,2,9,6,3,7,4,1]
[1,5,9,4,8,3,7,2,6]=>[6,2,7,3,8,4,9,5,1]
[1,5,9,2,6,3,7,4,8]=>[8,4,7,3,6,2,9,5,1]
[1,5,9,2,6,4,8,3,7]=>[7,3,8,4,6,2,9,5,1]
[1,6,3,8,5,2,7,4,9]=>[9,4,7,2,5,8,3,6,1]
[1,6,4,9,2,7,5,3,8]=>[8,3,5,7,2,9,4,6,1]
[1,6,5,4,9,2,7,3,8]=>[8,3,7,2,9,4,5,6,1]
[1,6,4,9,2,7,3,8,5]=>[5,8,3,7,2,9,4,6,1]
[1,7,3,9,2,8,4,5,6]=>[6,5,4,8,2,9,3,7,1]
[1,7,4,5,6,3,9,2,8]=>[8,2,9,3,6,5,4,7,1]
[1,8,3,6,5,4,7,2,9]=>[9,2,7,4,5,6,3,8,1]
[1,8,2,9,3,6,4,7,5]=>[5,7,4,6,3,9,2,8,1]
[1,9,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,9,1]
[9,2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2,9]
[9,7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7,9]
[9,5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5,9]
[8,9,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,9,8]
[1,3,8,2,9,4,7,5,6]=>[6,5,7,4,9,2,8,3,1]
[1,4,9,3,2,5,6,7,8]=>[8,7,6,5,2,3,9,4,1]
[1,5,9,3,4,2,6,7,8]=>[8,7,6,2,4,3,9,5,1]
[6,2,9,3,4,5,1,7,8]=>[8,7,1,5,4,3,9,2,6]
[1,7,9,3,4,5,6,2,8]=>[8,2,6,5,4,3,9,7,1]
[4,1,3,9,2,5,6,7,8]=>[8,7,6,5,2,9,3,1,4]
[2,5,9,4,3,1,6,7,8]=>[8,7,6,1,3,4,9,5,2]
[2,6,9,3,5,4,1,7,8]=>[8,7,1,4,5,3,9,6,2]
[7,1,9,3,4,6,5,2,8]=>[8,2,5,6,4,3,9,1,7]
[2,8,9,3,4,5,7,6,1]=>[1,6,7,5,4,3,9,8,2]
[2,8,9,3,4,5,6,1,7]=>[7,1,6,5,4,3,9,8,2]
[1,6,9,2,3,5,4,7,8]=>[8,7,4,5,3,2,9,6,1]
[5,1,2,4,9,3,6,7,8]=>[8,7,6,3,9,4,2,1,5]
[7,2,9,3,1,4,6,5,8]=>[8,5,6,4,1,3,9,2,7]
[2,6,9,1,5,3,4,7,8]=>[8,7,4,3,5,1,9,6,2]
[1,8,9,3,4,2,5,7,6]=>[6,7,5,2,4,3,9,8,1]
[2,7,9,3,1,6,4,5,8]=>[8,5,4,6,1,3,9,7,2]
[1,7,9,3,4,5,2,6,8]=>[8,6,2,5,4,3,9,7,1]
[8,1,9,3,4,2,7,5,6]=>[6,5,7,2,4,3,9,1,8]
[2,8,9,3,4,5,1,7,6]=>[6,7,1,5,4,3,9,8,2]
[9,1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1,9]
[4,5,3,6,2,8,9,7,1]=>[1,7,9,8,2,6,3,5,4]
[4,5,3,6,2,8,9,1,7]=>[7,1,9,8,2,6,3,5,4]
[4,5,3,6,2,9,7,8,1]=>[1,8,7,9,2,6,3,5,4]
[4,5,3,8,9,6,2,7,1]=>[1,7,2,6,9,8,3,5,4]
[4,5,3,8,9,1,7,2,6]=>[6,2,7,1,9,8,3,5,4]
[3,9,8,7,5,4,6,2,1]=>[1,2,6,4,5,7,8,9,3]
[7,9,8,2,6,5,4,3,1]=>[1,3,4,5,6,2,8,9,7]
[5,9,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,9,5]
[4,9,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,9,4]
[7,1,2,9,8,6,5,4,3]=>[3,4,5,6,8,9,2,1,7]
[8,7,5,9,1,6,4,3,2]=>[2,3,4,6,1,9,5,7,8]
[8,7,6,4,1,2,9,5,3]=>[3,5,9,2,1,4,6,7,8]
[8,7,6,5,3,9,1,4,2]=>[2,4,1,9,3,5,6,7,8]
[8,6,5,9,7,4,3,2,1]=>[1,2,3,4,7,9,5,6,8]
[6,1,2,3,9,8,7,5,4]=>[4,5,7,8,9,3,2,1,6]
[8,7,5,4,1,9,6,3,2]=>[2,3,6,9,1,4,5,7,8]
[8,5,9,1,2,7,6,4,3]=>[3,4,6,7,2,1,9,5,8]
[8,7,6,4,3,9,5,2,1]=>[1,2,5,9,3,4,6,7,8]
[8,7,4,9,1,2,6,5,3]=>[3,5,6,2,1,9,4,7,8]
[8,7,6,5,3,2,9,4,1]=>[1,4,9,2,3,5,6,7,8]
[8,7,6,3,1,2,4,9,5]=>[5,9,4,2,1,3,6,7,8]
[4,5,2,3,1,6,7,8,9]=>[9,8,7,6,1,3,2,5,4]
[5,6,2,3,4,1,7,8,9]=>[9,8,7,1,4,3,2,6,5]
[5,6,7,2,3,4,1,8,9]=>[9,8,1,4,3,2,7,6,5]
[6,7,8,2,3,4,5,1,9]=>[9,1,5,4,3,2,8,7,6]
[9,8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8,9]
[9,7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7,9]
[8,1,2,3,5,9,4,6,7]=>[7,6,4,9,5,3,2,1,8]
[8,1,2,4,9,3,5,6,7]=>[7,6,5,3,9,4,2,1,8]
[8,1,3,9,2,4,5,6,7]=>[7,6,5,4,2,9,3,1,8]
[6,9,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,9,6]
[3,4,1,5,6,7,8,2,9]=>[9,2,8,7,6,5,1,4,3]
[9,8,2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2,8,9]
[2,9,8,3,4,5,6,7,1]=>[1,7,6,5,4,3,8,9,2]
[8,9,1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1,9,8]
[5,2,6,7,8,9,1,3,4]=>[4,3,1,9,8,7,6,2,5]
[5,3,6,7,8,9,1,4,2]=>[2,4,1,9,8,7,6,3,5]
[6,3,7,8,9,1,4,5,2]=>[2,5,4,1,9,8,7,3,6]
[6,3,7,8,9,2,4,5,1]=>[1,5,4,2,9,8,7,3,6]
[6,4,7,8,9,2,5,1,3]=>[3,1,5,2,9,8,7,4,6]
[6,4,7,8,9,3,5,2,1]=>[1,2,5,3,9,8,7,4,6]
[7,4,8,9,1,5,6,2,3]=>[3,2,6,5,1,9,8,4,7]
[7,4,8,9,2,5,6,1,3]=>[3,1,6,5,2,9,8,4,7]
[7,4,8,9,3,5,6,2,1]=>[1,2,6,5,3,9,8,4,7]
[7,5,8,9,3,6,1,4,2]=>[2,4,1,6,3,9,8,5,7]
[7,5,8,9,3,6,2,4,1]=>[1,4,2,6,3,9,8,5,7]
[7,5,8,9,4,6,3,2,1]=>[1,2,3,6,4,9,8,5,7]
[9,1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1,9]
[9,1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1,9]
[4,9,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,9,4]
[4,1,9,3,5,6,7,8,2]=>[2,8,7,6,5,3,9,1,4]
[5,9,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,9,5]
[5,1,9,3,4,6,7,8,2]=>[2,8,7,6,4,3,9,1,5]
[2,5,9,3,4,6,7,8,1]=>[1,8,7,6,4,3,9,5,2]
[3,5,2,9,4,6,7,8,1]=>[1,8,7,6,4,9,2,5,3]
[3,6,2,9,4,5,7,8,1]=>[1,8,7,5,4,9,2,6,3]
[2,3,6,9,4,5,7,8,1]=>[1,8,7,5,4,9,6,3,2]
[4,1,6,3,9,5,7,8,2]=>[2,8,7,5,9,3,6,1,4]
[2,4,6,3,9,5,7,8,1]=>[1,8,7,5,9,3,6,4,2]
[2,3,5,7,4,9,6,8,1]=>[1,8,6,9,4,7,5,3,2]
[7,1,6,8,9,2,3,4,5]=>[5,4,3,2,9,8,6,1,7]
[6,2,7,8,9,1,3,5,4]=>[4,5,3,1,9,8,7,2,6]
[2,6,1,7,8,3,4,5,9]=>[9,5,4,3,8,7,1,6,2]
[2,6,3,7,8,1,4,5,9]=>[9,5,4,1,8,7,3,6,2]
[3,6,2,7,9,1,4,8,5]=>[5,8,4,1,9,7,2,6,3]
[2,8,6,3,9,1,4,7,5]=>[5,7,4,1,9,3,6,8,2]
[2,8,4,6,9,1,7,5,3]=>[3,5,7,1,9,6,4,8,2]
[6,3,1,7,9,2,4,5,8]=>[8,5,4,2,9,7,1,3,6]
[4,8,2,6,9,1,7,3,5]=>[5,3,7,1,9,6,2,8,4]
[3,6,1,2,8,4,5,7,9]=>[9,7,5,4,8,2,1,6,3]
[2,8,7,9,4,1,5,6,3]=>[3,6,5,1,4,9,7,8,2]
[2,9,5,7,8,6,1,4,3]=>[3,4,1,6,8,7,5,9,2]
[3,6,1,4,8,2,7,5,9]=>[9,5,7,2,8,4,1,6,3]
[8,3,6,1,9,2,4,7,5]=>[5,7,4,2,9,1,6,3,8]
[2,4,3,9,1,5,6,7,8]=>[8,7,6,5,1,9,3,4,2]
[2,5,3,4,9,1,6,7,8]=>[8,7,6,1,9,4,3,5,2]
[2,6,3,4,5,9,1,7,8]=>[8,7,1,9,5,4,3,6,2]
[2,7,3,4,5,6,9,1,8]=>[8,1,9,6,5,4,3,7,2]
[5,4,6,3,9,8,1,7,2]=>[2,7,1,8,9,3,6,4,5]
[1,5,4,6,3,8,9,2,7]=>[7,2,9,8,3,6,4,5,1]
[1,5,4,6,3,8,9,7,2]=>[2,7,9,8,3,6,4,5,1]
[5,4,6,3,9,2,1,8,7]=>[7,8,1,2,9,3,6,4,5]
[5,4,8,9,2,7,1,3,6]=>[6,3,1,7,2,9,8,4,5]
[5,4,8,9,6,3,1,7,2]=>[2,7,1,3,6,9,8,4,5]
[5,4,6,3,9,7,8,1,2]=>[2,1,8,7,9,3,6,4,5]
[5,4,8,6,3,1,9,2,7]=>[7,2,9,1,3,6,8,4,5]
[1,5,4,8,7,9,2,3,6]=>[6,3,2,9,7,8,4,5,1]
[6,3,8,9,2,7,1,4,5]=>[5,4,1,7,2,9,8,3,6]
[6,3,8,9,5,4,1,7,2]=>[2,7,1,4,5,9,8,3,6]
[1,5,4,8,7,9,6,3,2]=>[2,3,6,9,7,8,4,5,1]
[5,4,8,1,3,6,9,7,2]=>[2,7,9,6,3,1,8,4,5]
[8,9,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,9,8]
[6,5,9,4,3,2,1,8,7]=>[7,8,1,2,3,4,9,5,6]
[8,1,5,3,2,4,6,7,9]=>[9,7,6,4,2,3,5,1,8]
[8,1,5,2,4,3,6,7,9]=>[9,7,6,3,4,2,5,1,8]
[1,9,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,9,1]
[1,9,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,9,1]
[4,3,6,5,7,2,8,1,9]=>[9,1,8,2,7,5,6,3,4]
[4,3,6,2,7,5,8,1,9]=>[9,1,8,5,7,2,6,3,4]
[4,3,6,2,7,1,8,5,9]=>[9,5,8,1,7,2,6,3,4]
[3,2,5,4,7,6,8,1,9]=>[9,1,8,6,7,4,5,2,3]
[3,2,5,1,6,4,8,7,9]=>[9,7,8,4,6,1,5,2,3]
[4,3,6,2,7,1,9,5,8]=>[8,5,9,1,7,2,6,3,4]
[4,9,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,9,4]
[4,5,6,7,9,2,1,8,3]=>[3,8,1,2,9,7,6,5,4]
[5,6,7,8,9,1,4,2,3]=>[3,2,4,1,9,8,7,6,5]
[6,7,8,9,1,5,2,4,3]=>[3,4,2,5,1,9,8,7,6]
[6,7,8,9,1,5,2,3,4]=>[4,3,2,5,1,9,8,7,6]
[7,8,9,1,5,6,2,4,3]=>[3,4,2,6,5,1,9,8,7]
[7,8,9,1,5,6,2,3,4]=>[4,3,2,6,5,1,9,8,7]
[7,8,9,1,6,2,5,3,4]=>[4,3,5,2,6,1,9,8,7]
[8,9,1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1,9,8]
[8,9,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,9,8]
[8,9,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,9,8]
[8,9,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,9,8]
[8,9,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,9,8]
[8,7,5,3,9,4,1,6,2]=>[2,6,1,4,9,3,5,7,8]
[8,7,5,3,1,9,6,4,2]=>[2,4,6,9,1,3,5,7,8]
[6,5,7,4,9,3,8,1,2]=>[2,1,8,3,9,4,7,5,6]
[2,6,5,7,4,8,1,9,3]=>[3,9,1,8,4,7,5,6,2]
[6,5,7,4,8,1,9,3,2]=>[2,3,9,1,8,4,7,5,6]
[6,5,7,4,9,1,3,8,2]=>[2,8,3,1,9,4,7,5,6]
[2,6,5,7,4,9,3,8,1]=>[1,8,3,9,4,7,5,6,2]
[9,7,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,7,9]
[1,8,2,3,9,4,5,6,7]=>[7,6,5,4,9,3,2,8,1]
[1,8,2,3,4,9,5,6,7]=>[7,6,5,9,4,3,2,8,1]
[2,3,4,8,6,7,9,1,5]=>[5,1,9,7,6,8,4,3,2]
[2,8,4,5,6,7,9,1,3]=>[3,1,9,7,6,5,4,8,2]
[8,3,4,5,6,7,9,1,2]=>[2,1,9,7,6,5,4,3,8]
[2,3,4,5,1,7,9,8,6]=>[6,8,9,7,1,5,4,3,2]
[2,3,4,1,6,7,9,8,5]=>[5,8,9,7,6,1,4,3,2]
[2,3,1,5,6,7,9,8,4]=>[4,8,9,7,6,5,1,3,2]
[2,1,4,5,6,7,9,8,3]=>[3,8,9,7,6,5,4,1,2]
[1,2,3,5,6,4,7,8,9]=>[9,8,7,4,6,5,3,2,1]
[5,9,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,9,5]
[5,9,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,9,5]
[6,9,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,9,6]
[6,9,8,7,3,5,4,1,2]=>[2,1,4,5,3,7,8,9,6]
[6,9,8,7,3,5,4,2,1]=>[1,2,4,5,3,7,8,9,6]
[6,9,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,9,6]
[7,9,8,4,6,5,2,3,1]=>[1,3,2,5,6,4,8,9,7]
[7,9,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,9,7]
[7,9,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,9,7]
[7,9,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,9,7]
[1,8,7,6,5,3,9,4,2]=>[2,4,9,3,5,6,7,8,1]
[9,1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1,9]
[3,4,5,6,7,2,9,1,8]=>[8,1,9,2,7,6,5,4,3]
[9,3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3,9]
[2,9,4,1,6,7,8,5,3]=>[3,5,8,7,6,1,4,9,2]
[2,3,9,5,1,7,8,6,4]=>[4,6,8,7,1,5,9,3,2]
[2,3,4,9,6,1,8,7,5]=>[5,7,8,1,6,9,4,3,2]
[2,3,4,6,7,1,5,8,9]=>[9,8,5,1,7,6,4,3,2]
[6,5,4,3,9,2,1,8,7]=>[7,8,1,2,9,3,4,5,6]
[6,5,4,3,2,9,1,8,7]=>[7,8,1,9,2,3,4,5,6]
[9,8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8,9]
[9,8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8,9]
[9,8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8,9]
[3,2,1,8,7,6,5,4,9]=>[9,4,5,6,7,8,1,2,3]
[4,3,2,1,8,7,6,9,5]=>[5,9,6,7,8,1,2,3,4]
[8,2,1,7,6,5,3,9,4]=>[4,9,3,5,6,7,1,2,8]
[8,3,2,1,7,6,4,9,5]=>[5,9,4,6,7,1,2,3,8]
[8,4,3,2,1,7,9,6,5]=>[5,6,9,7,1,2,3,4,8]
[8,5,4,3,2,1,6,9,7]=>[7,9,6,1,2,3,4,5,8]
[7,5,4,3,2,1,9,6,8]=>[8,6,9,1,2,3,4,5,7]
[1,8,2,7,6,5,4,3,9]=>[9,3,4,5,6,7,2,8,1]
[2,8,3,1,7,6,5,4,9]=>[9,4,5,6,7,1,3,8,2]
[8,7,1,6,5,9,4,3,2]=>[2,3,4,9,5,6,1,7,8]
[3,8,4,2,1,7,6,9,5]=>[5,9,6,7,1,2,4,8,3]
[8,7,2,1,6,3,9,5,4]=>[4,5,9,3,6,1,2,7,8]
[4,8,5,3,2,1,7,6,9]=>[9,6,7,1,2,3,5,8,4]
[8,7,3,2,1,4,9,6,5]=>[5,6,9,4,1,2,3,7,8]
[5,8,6,4,3,2,1,7,9]=>[9,7,1,2,3,4,6,8,5]
[8,3,2,1,9,7,4,6,5]=>[5,6,4,7,9,1,2,3,8]
[6,4,3,2,1,9,8,5,7]=>[7,5,8,9,1,2,3,4,6]
[2,3,4,9,8,7,6,5,1]=>[1,5,6,7,8,9,4,3,2]
[2,4,3,9,8,7,6,5,1]=>[1,5,6,7,8,9,3,4,2]
[2,3,5,4,9,8,7,6,1]=>[1,6,7,8,9,4,5,3,2]
[2,3,4,6,5,9,8,7,1]=>[1,7,8,9,5,6,4,3,2]
[2,3,4,5,7,6,9,8,1]=>[1,8,9,6,7,5,4,3,2]
[5,4,9,8,7,3,2,1,6]=>[6,1,2,3,7,8,9,4,5]
[9,1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1,9]
[9,1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1,9]
[1,8,4,5,6,7,3,9,2]=>[2,9,3,7,6,5,4,8,1]
[1,3,4,5,6,9,8,2,7]=>[7,2,8,9,6,5,4,3,1]
[8,7,4,5,6,1,9,3,2]=>[2,3,9,1,6,5,4,7,8]
[9,8,3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3,8,9]
[9,3,4,5,1,8,7,2,6]=>[6,2,7,8,1,5,4,3,9]
[8,2,4,5,6,9,1,3,7]=>[7,3,1,9,6,5,4,2,8]
[7,6,4,5,2,8,9,3,1]=>[1,3,9,8,2,5,4,6,7]
[1,7,3,5,6,4,8,9,2]=>[2,9,8,4,6,5,3,7,1]
[6,3,4,1,9,8,7,5,2]=>[2,5,7,8,9,1,4,3,6]
[1,9,4,5,2,7,8,3,6]=>[6,3,8,7,2,5,4,9,1]
[2,8,3,5,6,9,1,4,7]=>[7,4,1,9,6,5,3,8,2]
[6,5,7,4,9,2,1,8,3]=>[3,8,1,2,9,4,7,5,6]
[6,5,9,2,1,7,4,8,3]=>[3,8,4,7,1,2,9,5,6]
[9,2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2,9]
[6,9,2,1,5,7,4,8,3]=>[3,8,4,7,5,1,2,9,6]
[6,7,5,9,2,1,4,8,3]=>[3,8,4,1,2,9,5,7,6]
[6,7,5,8,4,9,2,1,3]=>[3,1,2,9,4,8,5,7,6]
[6,5,7,4,9,2,8,3,1]=>[1,3,8,2,9,4,7,5,6]
[6,5,9,2,7,4,1,8,3]=>[3,8,1,4,7,2,9,5,6]
[9,2,6,5,1,7,4,8,3]=>[3,8,4,7,1,5,6,2,9]
[6,1,9,2,5,7,4,8,3]=>[3,8,4,7,5,2,9,1,6]
[6,7,1,5,9,2,4,8,3]=>[3,8,4,2,9,5,1,7,6]
[6,7,5,8,1,4,9,2,3]=>[3,2,9,4,1,8,5,7,6]
[8,7,6,5,9,3,4,2,1]=>[1,2,4,3,9,5,6,7,8]
[8,7,6,9,4,5,3,2,1]=>[1,2,3,5,4,9,6,7,8]
[8,7,9,5,6,4,3,2,1]=>[1,2,3,4,6,5,9,7,8]
[9,2,3,5,1,6,7,8,4]=>[4,8,7,6,1,5,3,2,9]
[4,2,3,5,9,6,7,8,1]=>[1,8,7,6,9,5,3,2,4]
[5,1,2,9,4,3,6,7,8]=>[8,7,6,3,4,9,2,1,5]
[8,7,5,6,3,1,2,4,9]=>[9,4,2,1,3,6,5,7,8]
[8,9,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,9,8]
[7,8,5,6,3,1,2,4,9]=>[9,4,2,1,3,6,5,8,7]
[9,7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7,9]
[9,7,8,5,2,3,4,1,6]=>[6,1,4,3,2,5,8,7,9]
[8,6,5,7,3,1,2,4,9]=>[9,4,2,1,3,7,5,6,8]
[8,6,7,4,2,3,1,5,9]=>[9,5,1,3,2,4,7,6,8]
[4,1,3,2,6,5,8,7,9]=>[9,7,8,5,6,2,3,1,4]
[6,1,3,2,5,4,8,7,9]=>[9,7,8,4,5,2,3,1,6]
[8,1,3,2,5,4,7,6,9]=>[9,6,7,4,5,2,3,1,8]
[9,1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1,9]
[7,1,3,2,5,4,6,9,8]=>[8,9,6,4,5,2,3,1,7]
[5,1,3,2,4,7,6,9,8]=>[8,9,6,7,4,2,3,1,5]
[9,1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1,9]
[7,1,3,2,5,4,6,8,9]=>[9,8,6,4,5,2,3,1,7]
[5,1,3,2,4,9,7,6,8]=>[8,6,7,9,4,2,3,1,5]
[5,6,4,7,2,8,1,9,3]=>[3,9,1,8,2,7,4,6,5]
[5,6,3,7,2,8,1,9,4]=>[4,9,1,8,2,7,3,6,5]
[5,4,7,3,8,2,9,1,6]=>[6,1,9,2,8,3,7,4,5]
[5,4,6,3,8,2,9,1,7]=>[7,1,9,2,8,3,6,4,5]
[5,6,2,7,3,8,1,9,4]=>[4,9,1,8,3,7,2,6,5]
[6,3,7,4,8,2,9,1,5]=>[5,1,9,2,8,4,7,3,6]
[4,5,7,3,8,2,9,1,6]=>[6,1,9,2,8,3,7,5,4]
[6,4,5,3,8,2,9,1,7]=>[7,1,9,2,8,3,5,4,6]
[8,3,1,5,2,7,4,6,9]=>[9,6,4,7,2,5,1,3,8]
[2,5,7,1,3,8,4,6,9]=>[9,6,4,8,3,1,7,5,2]
[2,5,7,1,3,4,6,8,9]=>[9,8,6,4,3,1,7,5,2]
[2,5,6,1,7,8,3,4,9]=>[9,4,3,8,7,1,6,5,2]
[2,5,6,1,7,3,4,8,9]=>[9,8,4,3,7,1,6,5,2]
[2,5,6,1,3,4,7,8,9]=>[9,8,7,4,3,1,6,5,2]
[2,3,7,1,4,8,5,6,9]=>[9,6,5,8,4,1,7,3,2]
[2,3,7,1,4,5,6,8,9]=>[9,8,6,5,4,1,7,3,2]
[2,3,6,1,7,8,4,5,9]=>[9,5,4,8,7,1,6,3,2]
[2,3,6,1,7,4,5,8,9]=>[9,8,5,4,7,1,6,3,2]
[2,3,6,1,4,5,7,8,9]=>[9,8,7,5,4,1,6,3,2]
[2,3,4,6,7,8,1,5,9]=>[9,5,1,8,7,6,4,3,2]
[1,9,4,6,3,7,2,8,5]=>[5,8,2,7,3,6,4,9,1]
[1,9,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,9,1]
[1,9,6,3,7,2,8,4,5]=>[5,4,8,2,7,3,6,9,1]
[1,9,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,9,1]
[1,9,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,9,1]
[1,9,5,3,7,2,8,4,6]=>[6,4,8,2,7,3,5,9,1]
[1,9,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,9,1]
[1,9,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,9,1]
[2,1,4,3,9,5,6,7,8]=>[8,7,6,5,9,3,4,1,2]
[1,5,2,3,4,9,6,7,8]=>[8,7,6,9,4,3,2,5,1]
[2,1,5,3,4,9,6,7,8]=>[8,7,6,9,4,3,5,1,2]
[1,2,5,3,4,9,6,7,8]=>[8,7,6,9,4,3,5,2,1]
[1,3,2,5,4,9,6,7,8]=>[8,7,6,9,4,5,2,3,1]
[1,2,3,5,4,9,6,7,8]=>[8,7,6,9,4,5,3,2,1]
[1,3,2,6,4,5,9,7,8]=>[8,7,9,5,4,6,2,3,1]
[1,2,3,6,4,5,9,7,8]=>[8,7,9,5,4,6,3,2,1]
[1,2,4,3,6,5,9,7,8]=>[8,7,9,5,6,3,4,2,1]
[1,2,3,4,6,5,9,7,8]=>[8,7,9,5,6,4,3,2,1]
[1,3,5,7,8,6,2,4,9]=>[9,4,2,6,8,7,5,3,1]
[1,2,4,6,8,9,7,3,5]=>[5,3,7,9,8,6,4,2,1]
[1,3,5,7,8,4,2,6,9]=>[9,6,2,4,8,7,5,3,1]
[1,5,3,7,8,2,4,6,9]=>[9,6,4,2,8,7,3,5,1]
[1,2,4,6,8,9,5,3,7]=>[7,3,5,9,8,6,4,2,1]
[1,2,6,4,8,9,3,5,7]=>[7,5,3,9,8,4,6,2,1]
[2,3,4,1,5,7,6,8,9]=>[9,8,6,7,5,1,4,3,2]
[2,3,1,4,5,6,8,7,9]=>[9,7,8,6,5,4,1,3,2]
[8,7,6,5,4,1,3,9,2]=>[2,9,3,1,4,5,6,7,8]
[7,8,6,5,4,2,9,3,1]=>[1,3,9,2,4,5,6,8,7]
[6,9,7,5,4,3,8,1,2]=>[2,1,8,3,4,5,7,9,6]
[2,9,6,7,5,4,3,8,1]=>[1,8,3,4,5,7,6,9,2]
[5,8,7,6,2,9,3,4,1]=>[1,4,3,9,2,6,7,8,5]
[1,7,8,6,5,3,9,4,2]=>[2,4,9,3,5,6,8,7,1]
[5,9,7,6,4,8,2,1,3]=>[3,1,2,8,4,6,7,9,5]
[6,9,5,7,4,3,8,2,1]=>[1,2,8,3,4,7,5,9,6]
[8,9,1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1,9,8]
[4,8,7,6,9,1,3,5,2]=>[2,5,3,1,9,6,7,8,4]
[6,5,8,7,3,9,4,2,1]=>[1,2,4,9,3,7,8,5,6]
[8,1,6,7,5,3,9,4,2]=>[2,4,9,3,5,7,6,1,8]
[6,5,4,3,7,2,8,1,9]=>[9,1,8,2,7,3,4,5,6]
[5,4,9,3,6,2,7,1,8]=>[8,1,7,2,6,3,9,4,5]
[5,8,4,6,2,9,3,7,1]=>[1,7,3,9,2,6,4,8,5]
[8,5,2,9,4,3,7,6,1]=>[1,6,7,3,4,9,2,5,8]
[7,5,3,8,2,9,4,6,1]=>[1,6,4,9,2,8,3,5,7]
[3,4,2,7,8,6,9,5,1]=>[1,5,9,6,8,7,2,4,3]
[4,3,7,6,8,2,9,5,1]=>[1,5,9,2,8,6,7,3,4]
[7,3,8,6,4,2,9,5,1]=>[1,5,9,2,4,6,8,3,7]
[4,6,8,3,7,2,9,5,1]=>[1,5,9,2,7,3,8,6,4]
[3,7,9,6,8,2,4,1,5]=>[5,1,4,2,8,6,9,7,3]
[8,7,3,2,5,9,6,4,1]=>[1,4,6,9,5,2,3,7,8]
[9,6,7,2,5,8,3,4,1]=>[1,4,3,8,5,2,7,6,9]
[3,5,7,9,6,2,8,4,1]=>[1,4,8,2,6,9,7,5,3]
[7,3,5,9,6,2,8,4,1]=>[1,4,8,2,6,9,5,3,7]
[5,6,2,3,1,9,7,8,4]=>[4,8,7,9,1,3,2,6,5]
[9,7,3,1,6,2,5,8,4]=>[4,8,5,2,6,1,3,7,9]
[8,5,2,4,6,9,7,3,1]=>[1,3,7,9,6,4,2,5,8]
[9,7,4,8,5,2,6,3,1]=>[1,3,6,2,5,8,4,7,9]
[9,8,6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6,8,9]
[9,8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8,9]
[9,8,7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7,8,9]
[3,2,9,8,7,1,6,5,4]=>[4,5,6,1,7,8,9,2,3]
[2,3,4,5,1,7,8,6,9]=>[9,6,8,7,1,5,4,3,2]
[2,3,4,1,6,7,8,5,9]=>[9,5,8,7,6,1,4,3,2]
[2,3,4,1,6,7,5,9,8]=>[8,9,5,7,6,1,4,3,2]
[2,3,4,1,6,7,5,8,9]=>[9,8,5,7,6,1,4,3,2]
[2,3,1,5,6,4,8,7,9]=>[9,7,8,4,6,5,1,3,2]
[2,3,1,5,6,4,7,8,9]=>[9,8,7,4,6,5,1,3,2]
[2,3,1,5,4,7,6,8,9]=>[9,8,6,7,4,5,1,3,2]
[9,1,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,1,9]
[9,1,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,1,9]
[9,2,3,4,7,5,6,8,1]=>[1,8,6,5,7,4,3,2,9]
[9,2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2,9]
[1,7,3,8,2,9,4,6,5]=>[5,6,4,9,2,8,3,7,1]
[1,6,4,7,3,8,2,9,5]=>[5,9,2,8,3,7,4,6,1]
[1,5,6,4,7,3,8,2,9]=>[9,2,8,3,7,4,6,5,1]
[1,4,7,3,8,2,9,5,6]=>[6,5,9,2,8,3,7,4,1]
[1,6,4,8,2,9,3,7,5]=>[5,7,3,9,2,8,4,6,1]
[1,5,7,3,8,2,9,4,6]=>[6,4,9,2,8,3,7,5,1]
[9,8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8,9]
[9,8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8,9]
[9,8,7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7,8,9]
[5,4,3,2,1,8,7,9,6]=>[6,9,7,8,1,2,3,4,5]
[4,3,2,1,7,6,9,8,5]=>[5,8,9,6,7,1,2,3,4]
[4,3,2,1,7,6,8,9,5]=>[5,9,8,6,7,1,2,3,4]
[3,2,1,8,7,6,5,9,4]=>[4,9,5,6,7,8,1,2,3]
[3,2,1,7,6,5,9,8,4]=>[4,8,9,5,6,7,1,2,3]
[3,2,1,7,6,5,8,9,4]=>[4,9,8,5,6,7,1,2,3]
[3,2,1,6,5,8,7,9,4]=>[4,9,7,8,5,6,1,2,3]
[3,2,1,6,5,7,8,9,4]=>[4,9,8,7,5,6,1,2,3]
[2,1,6,5,4,8,7,9,3]=>[3,9,7,8,4,5,6,1,2]
[2,1,6,5,4,7,8,9,3]=>[3,9,8,7,4,5,6,1,2]
[2,1,5,4,7,6,9,8,3]=>[3,8,9,6,7,4,5,1,2]
[2,1,5,4,7,6,8,9,3]=>[3,9,8,6,7,4,5,1,2]
[2,1,5,4,6,7,8,9,3]=>[3,9,8,7,6,4,5,1,2]
[1,4,3,6,5,7,8,9,2]=>[2,9,8,7,5,6,3,4,1]
[1,9,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,9,1]
[9,8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8,9]
[4,5,2,6,1,3,7,8,9]=>[9,8,7,3,1,6,2,5,4]
[5,6,2,7,8,1,3,4,9]=>[9,4,3,1,8,7,2,6,5]
[5,6,7,3,4,1,2,8,9]=>[9,8,2,1,4,3,7,6,5]
[5,6,3,2,7,1,4,8,9]=>[9,8,4,1,7,2,3,6,5]
[6,7,2,3,8,9,1,4,5]=>[5,4,1,9,8,3,2,7,6]
[6,7,8,3,4,9,1,2,5]=>[5,2,1,9,4,3,8,7,6]
[6,7,3,2,8,9,1,4,5]=>[5,4,1,9,8,2,3,7,6]
[6,7,4,8,2,5,1,3,9]=>[9,3,1,5,2,8,4,7,6]
[6,7,4,3,2,8,1,5,9]=>[9,5,1,8,2,3,4,7,6]
[7,8,4,9,2,5,6,1,3]=>[3,1,6,5,2,9,4,8,7]
[7,8,4,3,2,5,9,1,6]=>[6,1,9,5,2,3,4,8,7]
[7,8,5,3,9,2,6,1,4]=>[4,1,6,2,9,3,5,8,7]
[7,8,5,4,3,2,9,1,6]=>[6,1,9,2,3,4,5,8,7]
[8,9,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,9,8]
[3,4,9,5,6,7,8,1,2]=>[2,1,8,7,6,5,9,4,3]
[7,8,4,5,6,2,3,9,1]=>[1,9,3,2,6,5,4,8,7]
[3,4,2,9,6,7,8,1,5]=>[5,1,8,7,6,9,2,4,3]
[4,8,9,5,6,7,2,3,1]=>[1,3,2,7,6,5,9,8,4]
[6,8,4,5,2,3,7,9,1]=>[1,9,7,3,2,5,4,8,6]
[3,5,2,4,9,7,8,1,6]=>[6,1,8,7,9,4,2,5,3]
[3,4,6,9,7,8,1,2,5]=>[5,2,1,8,7,9,6,4,3]
[4,7,9,5,6,2,3,8,1]=>[1,8,3,2,6,5,9,7,4]
[9,8,7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7,8,9]
[9,4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4,9]
[7,5,8,3,6,1,4,9,2]=>[2,9,4,1,6,3,8,5,7]
[2,8,9,3,4,5,7,1,6]=>[6,1,7,5,4,3,9,8,2]
[2,7,8,9,3,4,6,1,5]=>[5,1,6,4,3,9,8,7,2]
[2,6,7,8,9,3,1,4,5]=>[5,4,1,3,9,8,7,6,2]
[2,5,6,7,8,9,4,1,3]=>[3,1,4,9,8,7,6,5,2]
[7,2,8,9,3,4,5,6,1]=>[1,6,5,4,3,9,8,2,7]
[2,3,9,4,5,1,6,7,8]=>[8,7,6,1,5,4,9,3,2]
[6,2,7,8,9,3,4,1,5]=>[5,1,4,3,9,8,7,2,6]
[2,3,8,9,4,7,1,5,6]=>[6,5,1,7,4,9,8,3,2]
[5,2,6,7,8,9,3,4,1]=>[1,4,3,9,8,7,6,2,5]
[2,3,7,8,9,6,1,4,5]=>[5,4,1,6,9,8,7,3,2]
[2,6,7,8,1,3,9,4,5]=>[5,4,9,3,1,8,7,6,2]
[9,6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6,9]
[7,6,5,4,3,8,2,9,1]=>[1,9,2,8,3,4,5,6,7]
[7,6,5,4,8,3,2,9,1]=>[1,9,2,3,8,4,5,6,7]
[7,6,5,8,4,3,9,2,1]=>[1,2,9,3,4,8,5,6,7]
[6,5,4,7,3,2,8,1,9]=>[9,1,8,2,3,7,4,5,6]
[5,4,3,6,2,1,7,8,9]=>[9,8,7,1,2,6,3,4,5]
[6,5,4,7,3,8,2,9,1]=>[1,9,2,8,3,7,4,5,6]
[5,4,3,6,2,7,1,8,9]=>[9,8,1,7,2,6,3,4,5]
[4,5,6,7,8,3,2,1,9]=>[9,1,2,3,8,7,6,5,4]
[4,5,6,7,8,2,3,1,9]=>[9,1,3,2,8,7,6,5,4]
[5,6,7,8,3,4,2,1,9]=>[9,1,2,4,3,8,7,6,5]
[6,7,8,4,5,3,2,1,9]=>[9,1,2,3,5,4,8,7,6]
[7,8,5,6,4,3,2,1,9]=>[9,1,2,3,4,6,5,8,7]
[7,9,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,9,7]
[5,4,8,3,7,2,6,1,9]=>[9,1,6,2,7,3,8,4,5]
[5,8,4,7,3,6,2,1,9]=>[9,1,2,6,3,7,4,8,5]
[1,6,5,9,4,8,3,7,2]=>[2,7,3,8,4,9,5,6,1]
[1,6,9,5,8,4,7,3,2]=>[2,3,7,4,8,5,9,6,1]
[4,5,6,3,2,7,8,9,1]=>[1,9,8,7,2,3,6,5,4]
[4,5,6,7,3,2,8,9,1]=>[1,9,8,2,3,7,6,5,4]
[4,5,6,7,8,3,2,9,1]=>[1,9,2,3,8,7,6,5,4]
[4,5,3,2,1,7,8,9,6]=>[6,9,8,7,1,2,3,5,4]
[4,5,6,3,2,1,8,9,7]=>[7,9,8,1,2,3,6,5,4]
[4,5,6,7,3,2,1,9,8]=>[8,9,1,2,3,7,6,5,4]
[1,8,7,6,5,4,2,9,3]=>[3,9,2,4,5,6,7,8,1]
[8,9,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,9,8]
[8,9,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,9,8]
[8,9,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,9,8]
[5,9,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,9,5]
[4,9,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,9,4]
[1,9,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,9,1]
[3,6,5,1,2,7,8,9,4]=>[4,9,8,7,2,1,5,6,3]
[3,4,8,6,2,7,1,9,5]=>[5,9,1,7,2,6,8,4,3]
[4,7,1,6,3,2,8,9,5]=>[5,9,8,2,3,6,1,7,4]
[2,5,4,9,8,7,1,3,6]=>[6,3,1,7,8,9,4,5,2]
[4,5,2,9,7,3,8,1,6]=>[6,1,8,3,7,9,2,5,4]
[3,8,5,7,2,4,1,9,6]=>[6,9,1,4,2,7,5,8,3]
[5,8,1,3,7,4,2,9,6]=>[6,9,2,4,7,3,1,8,5]
[3,6,5,9,8,2,1,4,7]=>[7,4,1,2,8,9,5,6,3]
[5,6,1,3,8,2,4,9,7]=>[7,9,4,2,8,3,1,6,5]
[4,9,6,8,1,2,5,3,7]=>[7,3,5,2,1,8,6,9,4]
[6,9,1,3,4,8,5,2,7]=>[7,2,5,8,4,3,1,9,6]
[3,5,1,7,2,9,4,6,8]=>[8,6,4,9,2,7,1,5,3]
[5,7,9,3,1,4,2,6,8]=>[8,6,2,4,1,3,9,7,5]
[5,2,3,4,6,7,8,9,1]=>[1,9,8,7,6,4,3,2,5]
[5,2,1,3,4,6,7,8,9]=>[9,8,7,6,4,3,1,2,5]
[5,3,4,2,6,7,8,9,1]=>[1,9,8,7,6,2,4,3,5]
[6,3,4,5,2,7,8,9,1]=>[1,9,8,7,2,5,4,3,6]
[7,3,4,5,6,2,8,9,1]=>[1,9,8,2,6,5,4,3,7]
[8,3,4,5,6,7,2,9,1]=>[1,9,2,7,6,5,4,3,8]
[5,3,4,2,1,7,8,9,6]=>[6,9,8,7,1,2,4,3,5]
[6,3,4,5,2,1,8,9,7]=>[7,9,8,1,2,5,4,3,6]
[7,3,4,5,6,2,1,9,8]=>[8,9,1,2,6,5,4,3,7]
[8,3,4,5,6,7,2,1,9]=>[9,1,2,7,6,5,4,3,8]
[1,8,9,6,5,4,3,2,7]=>[7,2,3,4,5,6,9,8,1]
[2,8,7,6,5,4,9,3,1]=>[1,3,9,4,5,6,7,8,2]
[2,9,3,8,4,7,5,6,1]=>[1,6,5,7,4,8,3,9,2]
[4,5,3,6,2,9,8,1,7]=>[7,1,8,9,2,6,3,5,4]
[4,3,9,7,8,1,6,2,5]=>[5,2,6,1,8,7,9,3,4]
[4,3,5,2,8,7,1,6,9]=>[9,6,1,7,8,2,5,3,4]
[7,8,1,5,9,6,2,4,3]=>[3,4,2,6,9,5,1,8,7]
[3,8,6,7,1,5,2,4,9]=>[9,4,2,5,1,7,6,8,3]
[3,4,2,7,1,5,9,8,6]=>[6,8,9,5,1,7,2,4,3]
[3,4,2,7,6,1,5,8,9]=>[9,8,5,1,6,7,2,4,3]
[3,6,7,1,4,8,5,2,9]=>[9,2,5,8,4,1,7,6,3]
[7,1,4,2,3,9,8,5,6]=>[6,5,8,9,3,2,4,1,7]
[7,5,6,1,4,2,3,8,9]=>[9,8,3,2,4,1,6,5,7]
[3,2,6,1,4,8,7,5,9]=>[9,5,7,8,4,1,6,2,3]
[3,2,6,5,1,4,7,8,9]=>[9,8,7,4,1,5,6,2,3]
[5,8,4,2,6,9,7,1,3]=>[3,1,7,9,6,2,4,8,5]
[6,1,3,2,8,7,4,5,9]=>[9,5,4,7,8,2,3,1,6]
[6,4,5,1,3,2,7,8,9]=>[9,8,7,2,3,1,5,4,6]
[2,7,4,9,8,6,1,3,5]=>[5,3,1,6,8,9,4,7,2]
[2,5,1,3,7,6,4,8,9]=>[9,8,4,6,7,3,1,5,2]
[2,5,4,1,3,6,7,8,9]=>[9,8,7,6,3,1,4,5,2]
[6,3,8,7,5,1,2,4,9]=>[9,4,2,1,5,7,8,3,6]
[4,1,2,6,5,3,7,8,9]=>[9,8,7,3,5,6,2,1,4]
[1,7,6,5,4,8,3,9,2]=>[2,9,3,8,4,5,6,7,1]
[1,6,5,4,7,3,9,2,8]=>[8,2,9,3,7,4,5,6,1]
[1,9,5,8,4,7,3,6,2]=>[2,6,3,7,4,8,5,9,1]
[1,9,8,7,6,2,4,5,3]=>[3,5,4,2,6,7,8,9,1]
[1,7,6,5,2,8,4,9,3]=>[3,9,4,8,2,5,6,7,1]
[1,6,5,2,7,4,9,3,8]=>[8,3,9,4,7,2,5,6,1]
[1,6,2,7,5,9,4,8,3]=>[3,8,4,9,5,7,2,6,1]
[1,2,6,9,5,8,4,7,3]=>[3,7,4,8,5,9,6,2,1]
[1,9,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,9,1]
[1,6,5,4,7,8,3,9,2]=>[2,9,3,8,7,4,5,6,1]
[1,5,4,6,7,3,9,2,8]=>[8,2,9,3,7,6,4,5,1]
[1,9,8,7,2,3,5,6,4]=>[4,6,5,3,2,7,8,9,1]
[1,5,6,7,4,9,3,8,2]=>[2,8,3,9,4,7,6,5,1]
[1,7,6,2,3,8,5,9,4]=>[4,9,5,8,3,2,6,7,1]
[1,5,6,9,4,8,3,7,2]=>[2,7,3,8,4,9,6,5,1]
[1,6,2,3,7,5,9,4,8]=>[8,4,9,5,7,3,2,6,1]
[1,2,3,7,6,9,5,8,4]=>[4,8,5,9,6,7,3,2,1]
[6,1,2,3,9,5,4,7,8]=>[8,7,4,5,9,3,2,1,6]
[5,2,3,4,6,9,7,8,1]=>[1,8,7,9,6,4,3,2,5]
[9,2,3,4,6,1,7,8,5]=>[5,8,7,1,6,4,3,2,9]
[4,3,1,9,8,7,6,5,2]=>[2,5,6,7,8,9,1,3,4]
[8,6,7,9,4,5,2,3,1]=>[1,3,2,5,4,9,7,6,8]
[8,6,7,4,5,9,2,3,1]=>[1,3,2,9,5,4,7,6,8]
[8,6,7,4,5,2,3,9,1]=>[1,9,3,2,5,4,7,6,8]
[8,6,7,4,5,3,9,1,2]=>[2,1,9,3,5,4,7,6,8]
[8,6,7,5,9,3,4,1,2]=>[2,1,4,3,9,5,7,6,8]
[8,6,7,4,5,3,9,2,1]=>[1,2,9,3,5,4,7,6,8]
[8,6,7,5,9,2,3,1,4]=>[4,1,3,2,9,5,7,6,8]
[8,7,9,4,5,3,6,1,2]=>[2,1,6,3,5,4,9,7,8]
[9,6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6,9]
[1,2,3,8,9,7,6,5,4]=>[4,5,6,7,9,8,3,2,1]
[2,4,1,5,6,7,8,3,9]=>[9,3,8,7,6,5,1,4,2]
[1,4,5,2,6,7,8,9,3]=>[3,9,8,7,6,2,5,4,1]
[3,4,5,6,1,2,7,9,8]=>[8,9,7,2,1,6,5,4,3]
[3,4,5,1,2,6,7,9,8]=>[8,9,7,6,2,1,5,4,3]
[3,4,1,2,5,6,7,9,8]=>[8,9,7,6,5,2,1,4,3]
[8,7,3,9,6,5,4,2,1]=>[1,2,4,5,6,9,3,7,8]
[7,1,3,9,8,6,5,4,2]=>[2,4,5,6,8,9,3,1,7]
[7,1,8,4,9,6,5,3,2]=>[2,3,5,6,9,4,8,1,7]
[7,3,8,2,9,6,5,4,1]=>[1,4,5,6,9,2,8,3,7]
[6,1,2,4,9,8,7,5,3]=>[3,5,7,8,9,4,2,1,6]
[7,1,8,6,5,9,4,3,2]=>[2,3,4,9,5,6,8,1,7]
[7,6,8,2,4,9,5,3,1]=>[1,3,5,9,4,2,8,6,7]
[6,1,2,8,5,9,7,4,3]=>[3,4,7,9,5,8,2,1,6]
[6,7,2,1,4,9,8,5,3]=>[3,5,8,9,4,1,2,7,6]
[5,1,2,3,6,9,8,7,4]=>[4,7,8,9,6,3,2,1,5]
[6,7,4,1,3,8,9,5,2]=>[2,5,9,8,3,1,4,7,6]
[5,1,2,3,8,7,9,6,4]=>[4,6,9,7,8,3,2,1,5]
[6,4,7,3,8,2,9,5,1]=>[1,5,9,2,8,3,7,4,6]
[5,6,1,3,2,7,9,8,4]=>[4,8,9,7,2,3,1,6,5]
[4,1,2,3,5,7,9,8,6]=>[6,8,9,7,5,3,2,1,4]
[5,6,3,7,2,1,8,9,4]=>[4,9,8,1,2,7,3,6,5]
[4,5,1,2,6,3,8,9,7]=>[7,9,8,3,6,2,1,5,4]
[3,1,2,4,5,6,8,9,7]=>[7,9,8,6,5,4,2,1,3]
[6,1,2,8,3,4,5,7,9]=>[9,7,5,4,3,8,2,1,6]
[1,7,2,3,9,4,5,6,8]=>[8,6,5,4,9,3,2,7,1]
[9,8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8,9]
[4,1,5,9,3,2,6,7,8]=>[8,7,6,2,3,9,5,1,4]
[6,1,2,9,5,3,4,7,8]=>[8,7,4,3,5,9,2,1,6]
[6,1,2,3,7,9,5,4,8]=>[8,4,5,9,7,3,2,1,6]
[7,1,2,3,4,8,9,6,5]=>[5,6,9,8,4,3,2,1,7]
[4,9,2,5,3,1,6,7,8]=>[8,7,6,1,3,5,2,9,4]
[9,1,6,3,5,2,4,7,8]=>[8,7,4,2,5,3,6,1,9]
[3,4,9,2,5,1,6,7,8]=>[8,7,6,1,5,2,9,4,3]
[6,1,2,9,4,7,5,3,8]=>[8,3,5,7,4,9,2,1,6]
[4,1,5,9,3,6,2,7,8]=>[8,7,2,6,3,9,5,1,4]
[7,1,2,3,9,5,8,6,4]=>[4,6,8,5,9,3,2,1,7]
[6,1,2,9,5,3,7,4,8]=>[8,4,7,3,5,9,2,1,6]
[6,1,2,3,7,9,5,8,4]=>[4,8,5,9,7,3,2,1,6]
[9,7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7,9]
[9,7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7,9]
[7,6,4,3,2,1,5,8,9]=>[9,8,5,1,2,3,4,6,7]
[8,6,4,3,2,1,5,7,9]=>[9,7,5,1,2,3,4,6,8]
[9,8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8,9]
[8,6,5,3,2,1,4,7,9]=>[9,7,4,1,2,3,5,6,8]
[6,5,3,2,1,4,7,8,9]=>[9,8,7,4,1,2,3,5,6]
[9,7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7,9]
[7,5,3,2,1,4,6,8,9]=>[9,8,6,4,1,2,3,5,7]
[6,4,2,1,3,5,7,8,9]=>[9,8,7,5,3,1,2,4,6]
[9,1,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,1,9]
[3,1,5,7,2,4,8,6,9]=>[9,6,8,4,2,7,5,1,3]
[1,2,5,6,7,8,9,3,4]=>[4,3,9,8,7,6,5,2,1]
[4,1,2,6,7,8,9,3,5]=>[5,3,9,8,7,6,2,1,4]
[4,5,1,2,7,8,9,3,6]=>[6,3,9,8,7,2,1,5,4]
[4,5,6,1,2,8,9,3,7]=>[7,3,9,8,2,1,6,5,4]
[4,5,6,7,1,2,9,3,8]=>[8,3,9,2,1,7,6,5,4]
[1,2,8,3,4,5,6,7,9]=>[9,7,6,5,4,3,8,2,1]
[1,2,7,3,4,5,6,8,9]=>[9,8,6,5,4,3,7,2,1]
[1,2,3,7,4,5,6,8,9]=>[9,8,6,5,4,7,3,2,1]
[4,1,2,7,3,5,6,8,9]=>[9,8,6,5,3,7,2,1,4]
[3,1,2,4,7,5,6,8,9]=>[9,8,6,5,7,4,2,1,3]
[2,1,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,1,2]
[8,6,4,1,2,3,5,7,9]=>[9,7,5,3,2,1,4,6,8]
[1,9,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,9,1]
[8,6,3,1,4,2,5,7,9]=>[9,7,5,2,4,1,3,6,8]
[8,6,3,4,1,2,5,7,9]=>[9,7,5,2,1,4,3,6,8]
[1,9,7,4,2,5,3,6,8]=>[8,6,3,5,2,4,7,9,1]
[1,9,7,4,5,2,3,6,8]=>[8,6,3,2,5,4,7,9,1]
[7,2,3,4,5,6,8,9,1]=>[1,9,8,6,5,4,3,2,7]
[8,6,1,4,2,3,5,7,9]=>[9,7,5,3,2,4,1,6,8]
[8,3,2,6,1,4,5,7,9]=>[9,7,5,4,1,6,2,3,8]
[5,4,2,8,1,3,6,7,9]=>[9,7,6,3,1,8,2,4,5]
[8,1,3,2,6,4,5,7,9]=>[9,7,5,4,6,2,3,1,8]
[3,2,5,1,4,8,6,7,9]=>[9,7,6,8,4,1,5,2,3]
[5,4,2,8,1,3,6,9,7]=>[7,9,6,3,1,8,2,4,5]
[8,7,1,6,5,4,3,9,2]=>[2,9,3,4,5,6,1,7,8]
[4,9,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,9,4]
[4,9,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,9,4]
[1,3,8,7,6,5,9,4,2]=>[2,4,9,5,6,7,8,3,1]
[1,7,6,5,4,3,8,2,9]=>[9,2,8,3,4,5,6,7,1]
[1,3,5,8,7,9,6,4,2]=>[2,4,6,9,7,8,5,3,1]
[1,3,7,6,5,8,4,2,9]=>[9,2,4,8,5,6,7,3,1]
[1,6,5,4,3,2,8,9,7]=>[7,9,8,2,3,4,5,6,1]
[1,6,5,4,3,7,2,8,9]=>[9,8,2,7,3,4,5,6,1]
[1,3,6,5,2,8,7,9,4]=>[4,9,7,8,2,5,6,3,1]
[1,3,6,5,7,4,2,8,9]=>[9,8,2,4,7,5,6,3,1]
[1,5,4,3,2,7,8,6,9]=>[9,6,8,7,2,3,4,5,1]
[1,5,4,3,6,2,7,8,9]=>[9,8,7,2,6,3,4,5,1]
[1,3,5,2,6,8,9,7,4]=>[4,7,9,8,6,2,5,3,1]
[1,3,5,2,7,6,8,4,9]=>[9,4,8,6,7,2,5,3,1]
[1,4,3,2,6,5,8,9,7]=>[7,9,8,5,6,2,3,4,1]
[1,4,3,2,6,7,5,8,9]=>[9,8,5,7,6,2,3,4,1]
[1,4,3,5,2,6,7,8,9]=>[9,8,7,6,2,5,3,4,1]
[1,3,2,5,4,7,8,6,9]=>[9,6,8,7,4,5,2,3,1]
[1,3,2,5,6,4,7,8,9]=>[9,8,7,4,6,5,2,3,1]
[2,3,7,4,8,5,9,1,6]=>[6,1,9,5,8,4,7,3,2]
[2,3,4,5,1,7,9,6,8]=>[8,6,9,7,1,5,4,3,2]
[2,3,4,1,8,6,9,7,5]=>[5,7,9,6,8,1,4,3,2]
[2,3,1,5,8,6,9,4,7]=>[7,4,9,6,8,5,1,3,2]
[2,1,7,4,8,5,9,6,3]=>[3,6,9,5,8,4,7,1,2]
[1,3,7,4,8,5,9,2,6]=>[6,2,9,5,8,4,7,3,1]
[9,3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3,9]
[9,3,1,7,2,8,5,6,4]=>[4,6,5,8,2,7,1,3,9]
[9,5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5,9]
[2,9,5,7,1,8,3,6,4]=>[4,6,3,8,1,7,5,9,2]
[2,9,4,1,7,8,3,6,5]=>[5,6,3,8,7,1,4,9,2]
[2,9,4,1,6,3,8,7,5]=>[5,7,8,3,6,1,4,9,2]
[9,7,1,2,3,8,5,6,4]=>[4,6,5,8,3,2,1,7,9]
[5,1,9,7,3,8,2,6,4]=>[4,6,2,8,3,7,9,1,5]
[9,1,5,7,2,8,3,6,4]=>[4,6,3,8,2,7,5,1,9]
[3,4,9,1,7,8,2,6,5]=>[5,6,2,8,7,1,9,4,3]
[2,9,5,6,1,3,8,7,4]=>[4,7,8,3,1,6,5,9,2]
[2,9,4,1,7,8,3,5,6]=>[6,5,3,8,7,1,4,9,2]
[3,1,8,2,4,5,6,7,9]=>[9,7,6,5,4,2,8,1,3]
[3,8,2,1,4,5,6,7,9]=>[9,7,6,5,4,1,2,8,3]
[1,4,2,9,3,5,6,7,8]=>[8,7,6,5,3,9,2,4,1]
[1,7,5,3,9,8,6,4,2]=>[2,4,6,8,9,3,5,7,1]
[3,1,7,5,9,8,6,4,2]=>[2,4,6,8,9,5,7,1,3]
[5,3,1,7,9,8,6,4,2]=>[2,4,6,8,9,7,1,3,5]
[7,5,3,9,1,8,6,4,2]=>[2,4,6,8,1,9,3,5,7]
[5,3,1,8,9,7,6,4,2]=>[2,4,6,7,9,8,1,3,5]
[3,1,8,6,9,7,5,4,2]=>[2,4,5,7,9,6,8,1,3]
[1,8,6,4,9,7,5,3,2]=>[2,3,5,7,9,4,6,8,1]
[1,3,7,5,9,8,6,4,2]=>[2,4,6,8,9,5,7,3,1]
[3,5,1,7,9,8,6,4,2]=>[2,4,6,8,9,7,1,5,3]
[5,7,3,9,1,8,6,4,2]=>[2,4,6,8,1,9,3,7,5]
[5,3,9,1,8,7,6,4,2]=>[2,4,6,7,8,1,9,3,5]
[3,1,9,7,6,8,5,4,2]=>[2,4,5,8,6,7,9,1,3]
[5,1,8,4,9,7,6,3,2]=>[2,3,6,7,9,4,8,1,5]
[3,8,6,2,9,7,5,4,1]=>[1,4,5,7,9,2,6,8,3]
[9,8,3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3,8,9]
[4,9,3,8,7,1,6,2,5]=>[5,2,6,1,7,8,3,9,4]
[9,2,8,4,7,6,1,3,5]=>[5,3,1,6,7,4,8,2,9]
[5,9,8,4,3,1,7,2,6]=>[6,2,7,1,3,4,8,9,5]
[9,5,4,8,7,2,1,3,6]=>[6,3,1,2,7,8,4,5,9]
[1,5,9,4,8,2,7,3,6]=>[6,3,7,2,8,4,9,5,1]
[5,3,1,9,8,7,2,4,6]=>[6,4,2,7,8,9,1,3,5]
[1,2,5,3,9,8,7,4,6]=>[6,4,7,8,9,3,5,2,1]
[6,3,9,5,1,8,2,4,7]=>[7,4,2,8,1,5,9,3,6]
[1,2,6,9,5,3,8,4,7]=>[7,4,8,3,5,9,6,2,1]
[9,2,8,6,4,1,3,5,7]=>[7,5,3,1,4,6,8,2,9]
[4,1,6,2,9,8,3,5,7]=>[7,5,3,8,9,2,6,1,4]
[1,2,3,6,4,9,8,5,7]=>[7,5,8,9,4,6,3,2,1]
[7,5,3,1,9,2,4,6,8]=>[8,6,4,2,9,1,3,5,7]
[1,2,3,4,7,5,9,6,8]=>[8,6,9,5,7,4,3,2,1]
[2,8,7,6,5,4,1,3,9]=>[9,3,1,4,5,6,7,8,2]
[7,9,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,9,7]
[5,7,9,3,1,2,8,6,4]=>[4,6,8,2,1,3,9,7,5]
[3,5,7,9,1,8,6,4,2]=>[2,4,6,8,1,9,7,5,3]
[4,6,8,2,1,9,7,5,3]=>[3,5,7,9,1,2,8,6,4]
[6,8,4,2,1,3,9,7,5]=>[5,7,9,3,1,2,4,8,6]
[8,6,4,2,1,3,5,9,7]=>[7,9,5,3,1,2,4,6,8]
[7,5,9,3,1,2,8,4,6]=>[6,4,8,2,1,3,9,5,7]
[4,6,8,2,9,1,7,5,3]=>[3,5,7,1,9,2,8,6,4]
[4,6,8,1,2,9,7,5,3]=>[3,5,7,9,2,1,8,6,4]
[6,8,4,2,3,1,9,7,5]=>[5,7,9,1,3,2,4,8,6]
[8,6,4,2,1,5,3,9,7]=>[7,9,3,5,1,2,4,6,8]
[8,6,4,2,1,3,7,5,9]=>[9,5,7,3,1,2,4,6,8]
[9,8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8,9]
[9,7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7,9]
[9,7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7,9]
[9,7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7,9]
[8,9,6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6,9,8]
[9,8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8,9]
[7,8,6,9,3,4,1,2,5]=>[5,2,1,4,3,9,6,8,7]
[8,9,5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5,9,8]
[8,9,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,9,8]
[9,8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8,9]
[7,2,9,3,4,5,6,8,1]=>[1,8,6,5,4,3,9,2,7]
[7,9,8,3,4,5,1,6,2]=>[2,6,1,5,4,3,8,9,7]
[5,8,2,3,4,6,9,1,7]=>[7,1,9,6,4,3,2,8,5]
[8,2,7,9,4,5,6,1,3]=>[3,1,6,5,4,9,7,2,8]
[6,2,9,3,4,5,7,1,8]=>[8,1,7,5,4,3,9,2,6]
[7,1,9,8,4,5,2,6,3]=>[3,6,2,5,4,8,9,1,7]
[9,5,8,3,4,6,7,2,1]=>[1,2,7,6,4,3,8,5,9]
[4,8,2,3,5,1,9,6,7]=>[7,6,9,1,5,3,2,8,4]
[8,2,1,7,9,5,6,3,4]=>[4,3,6,5,9,7,1,2,8]
[3,2,6,9,4,5,7,8,1]=>[1,8,7,5,4,9,6,2,3]
[5,2,9,3,4,6,1,7,8]=>[8,7,1,6,4,3,9,2,5]
[1,9,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,9,1]
[1,9,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,9,1]
[6,9,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,9,6]
[5,9,3,7,4,6,2,8,1]=>[1,8,2,6,4,7,3,9,5]
[9,4,3,7,5,6,2,8,1]=>[1,8,2,6,5,7,3,4,9]
[8,2,9,4,6,5,3,7,1]=>[1,7,3,5,6,4,9,2,8]
[9,5,7,6,2,4,3,8,1]=>[1,8,3,4,2,6,7,5,9]
[6,8,2,9,5,3,4,7,1]=>[1,7,4,3,5,9,2,8,6]
[6,9,5,4,2,8,3,7,1]=>[1,7,3,8,2,4,5,9,6]
[4,8,3,7,2,9,5,6,1]=>[1,6,5,9,2,7,3,8,4]
[9,6,7,1,5,3,4,8,2]=>[2,8,4,3,5,1,7,6,9]
[5,4,2,8,3,9,6,7,1]=>[1,7,6,9,3,8,2,4,5]
[4,7,2,5,8,3,9,6,1]=>[1,6,9,3,8,5,2,7,4]
[3,8,4,5,7,2,9,6,1]=>[1,6,9,2,7,5,4,8,3]
[9,6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6,9]
[3,6,1,8,4,5,9,7,2]=>[2,7,9,5,4,8,1,6,3]
[8,4,9,7,3,5,1,6,2]=>[2,6,1,5,3,7,9,4,8]
[2,8,5,9,7,3,4,6,1]=>[1,6,4,3,7,9,5,8,2]
[9,7,3,6,2,4,8,5,1]=>[1,5,8,4,2,6,3,7,9]
[8,5,2,6,3,9,7,4,1]=>[1,4,7,9,3,6,2,5,8]
[9,8,6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6,8,9]
[7,4,1,5,2,9,8,6,3]=>[3,6,8,9,2,5,1,4,7]
[7,6,4,3,2,5,8,1,9]=>[9,1,8,5,2,3,4,6,7]
[9,8,1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1,8,9]
[9,3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3,9]
[9,7,1,6,5,4,3,2,8]=>[8,2,3,4,5,6,1,7,9]
[9,2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2,9]
[9,8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8,9]
[9,4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4,9]
[9,7,6,1,5,4,3,2,8]=>[8,2,3,4,5,1,6,7,9]
[9,3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3,9]
[8,1,2,6,3,4,5,7,9]=>[9,7,5,4,3,6,2,1,8]
[1,9,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,9,1]
[1,9,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,9,1]
[1,3,9,2,4,8,5,7,6]=>[6,7,5,8,4,2,9,3,1]
[1,9,3,2,4,8,5,7,6]=>[6,7,5,8,4,2,3,9,1]
[1,3,2,9,4,8,5,7,6]=>[6,7,5,8,4,9,2,3,1]
[1,4,8,3,9,2,5,7,6]=>[6,7,5,2,9,3,8,4,1]
[1,9,3,8,4,2,5,7,6]=>[6,7,5,2,4,8,3,9,1]
[1,9,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,9,1]
[8,2,4,6,1,3,5,7,9]=>[9,7,5,3,1,6,4,2,8]
[1,9,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,9,1]
[1,9,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,9,1]
[6,5,9,4,8,1,2,3,7]=>[7,3,2,1,8,4,9,5,6]
[4,7,3,6,9,1,2,5,8]=>[8,5,2,1,9,6,3,7,4]
[7,4,6,9,1,2,3,5,8]=>[8,5,3,2,1,9,6,4,7]
[8,7,2,1,6,5,4,3,9]=>[9,3,4,5,6,1,2,7,8]
[8,7,2,6,5,4,3,1,9]=>[9,1,3,4,5,6,2,7,8]
[8,9,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,9,8]
[8,9,7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7,9,8]
[7,1,3,4,5,6,8,9,2]=>[2,9,8,6,5,4,3,1,7]
[6,1,3,4,5,7,9,2,8]=>[8,2,9,7,5,4,3,1,6]
[5,1,3,4,6,9,2,7,8]=>[8,7,2,9,6,4,3,1,5]
[4,1,3,5,9,2,6,7,8]=>[8,7,6,2,9,5,3,1,4]
[2,5,6,1,3,7,8,9,4]=>[4,9,8,7,3,1,6,5,2]
[2,3,6,7,1,4,8,9,5]=>[5,9,8,4,1,7,6,3,2]
[2,3,4,7,8,1,5,9,6]=>[6,9,5,1,8,7,4,3,2]
[6,7,8,5,1,2,3,4,9]=>[9,4,3,2,1,5,8,7,6]
[4,6,7,9,5,1,2,3,8]=>[8,3,2,1,5,9,7,6,4]
[4,5,7,8,1,6,2,3,9]=>[9,3,2,6,1,8,7,5,4]
[4,5,6,8,1,2,7,3,9]=>[9,3,7,2,1,8,6,5,4]
[4,5,6,7,1,2,3,9,8]=>[8,9,3,2,1,7,6,5,4]
[8,5,6,9,1,2,3,7,4]=>[4,7,3,2,1,9,6,5,8]
[8,9,7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7,9,8]
[7,8,9,4,6,2,3,5,1]=>[1,5,3,2,6,4,9,8,7]
[6,8,9,1,5,7,3,4,2]=>[2,4,3,7,5,1,9,8,6]
[4,5,8,9,2,6,7,3,1]=>[1,3,7,6,2,9,8,5,4]
[4,5,6,9,1,3,7,8,2]=>[2,8,7,3,1,9,6,5,4]
[5,6,8,4,7,1,2,3,9]=>[9,3,2,1,7,4,8,6,5]
[9,5,7,8,1,2,4,6,3]=>[3,6,4,2,1,8,7,5,9]
[4,7,9,1,6,2,3,5,8]=>[8,5,3,2,6,1,9,7,4]
[7,8,6,4,9,2,3,5,1]=>[1,5,3,2,9,4,6,8,7]
[5,7,8,1,3,6,2,4,9]=>[9,4,2,6,3,1,8,7,5]
[3,8,9,7,6,1,4,5,2]=>[2,5,4,1,6,7,9,8,3]
[4,5,6,8,2,3,7,1,9]=>[9,1,7,3,2,8,6,5,4]
[6,8,9,2,5,7,1,4,3]=>[3,4,1,7,5,2,9,8,6]
[4,5,8,9,3,6,7,1,2]=>[2,1,7,6,3,9,8,5,4]
[3,5,2,4,6,7,8,9,1]=>[1,9,8,7,6,4,2,5,3]
[3,4,6,2,5,7,8,9,1]=>[1,9,8,7,5,2,6,4,3]
[3,4,5,7,2,6,8,9,1]=>[1,9,8,6,2,7,5,4,3]
[3,4,5,6,8,2,7,9,1]=>[1,9,7,2,8,6,5,4,3]
[1,6,5,9,3,8,4,7,2]=>[2,7,4,8,3,9,5,6,1]
[1,9,3,8,4,7,5,6,2]=>[2,6,5,7,4,8,3,9,1]
[6,9,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,9,6]
[1,6,7,5,9,3,8,4,2]=>[2,4,8,3,9,5,7,6,1]
[1,6,7,5,8,4,9,3,2]=>[2,3,9,4,8,5,7,6,1]
[6,5,8,1,3,9,4,7,2]=>[2,7,4,9,3,1,8,5,6]
[9,3,8,5,6,1,4,7,2]=>[2,7,4,1,6,5,8,3,9]
[5,1,9,3,8,4,7,6,2]=>[2,6,7,4,8,3,9,1,5]
[7,5,1,6,9,3,8,4,2]=>[2,4,8,3,9,6,1,5,7]
[6,9,3,1,7,5,8,4,2]=>[2,4,8,5,7,1,3,9,6]
[6,7,5,9,3,2,1,8,4]=>[4,8,1,2,3,9,5,7,6]
[1,8,5,6,3,9,4,7,2]=>[2,7,4,9,3,6,5,8,1]
[1,9,3,8,5,4,7,6,2]=>[2,6,7,4,5,8,3,9,1]
[9,5,6,3,8,1,4,7,2]=>[2,7,4,1,8,3,6,5,9]
[7,6,9,3,8,4,5,1,2]=>[2,1,5,4,8,3,9,6,7]
[9,3,8,6,1,5,4,7,2]=>[2,7,4,5,1,6,8,3,9]
[1,9,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,9,1]
[7,9,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,9,7]
[1,6,9,3,2,7,5,8,4]=>[4,8,5,7,2,3,9,6,1]
[7,5,1,9,3,6,8,4,2]=>[2,4,8,6,3,9,1,5,7]
[6,9,3,1,8,4,2,7,5]=>[5,7,2,4,8,1,3,9,6]
[6,9,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,9,6]
[4,1,5,7,2,3,8,9,6]=>[6,9,8,3,2,7,5,1,4]
[4,1,5,8,2,3,6,9,7]=>[7,9,6,3,2,8,5,1,4]
[4,1,2,5,3,8,9,6,7]=>[7,6,9,8,3,5,2,1,4]
[1,4,5,2,3,8,9,6,7]=>[7,6,9,8,3,2,5,4,1]
[4,5,1,2,3,8,9,6,7]=>[7,6,9,8,3,2,1,5,4]
[4,5,1,2,8,9,3,6,7]=>[7,6,3,9,8,2,1,5,4]
[4,1,7,8,2,3,5,9,6]=>[6,9,5,3,2,8,7,1,4]
[4,1,2,5,3,6,8,9,7]=>[7,9,8,6,3,5,2,1,4]
[1,4,5,8,2,3,9,6,7]=>[7,6,9,3,2,8,5,4,1]
[4,1,5,2,3,8,9,6,7]=>[7,6,9,8,3,2,5,1,4]
[4,5,8,1,2,9,3,6,7]=>[7,6,3,9,2,1,8,5,4]
[4,5,1,2,6,7,9,3,8]=>[8,3,9,7,6,2,1,5,4]
[2,5,1,3,8,9,4,6,7]=>[7,6,4,9,8,3,1,5,2]
[2,1,4,6,7,8,9,3,5]=>[5,3,9,8,7,6,4,1,2]
[2,3,1,5,7,8,9,4,6]=>[6,4,9,8,7,5,1,3,2]
[2,3,4,1,6,8,9,5,7]=>[7,5,9,8,6,1,4,3,2]
[5,6,7,8,2,3,4,1,9]=>[9,1,4,3,2,8,7,6,5]
[5,6,7,8,3,4,1,2,9]=>[9,2,1,4,3,8,7,6,5]
[6,7,8,2,3,4,9,1,5]=>[5,1,9,4,3,2,8,7,6]
[6,7,8,3,4,5,1,2,9]=>[9,2,1,5,4,3,8,7,6]
[6,7,8,3,4,5,2,1,9]=>[9,1,2,5,4,3,8,7,6]
[7,8,4,5,9,1,2,6,3]=>[3,6,2,1,9,5,4,8,7]
[7,8,4,5,9,2,3,1,6]=>[6,1,3,2,9,5,4,8,7]
[7,8,4,5,9,3,2,1,6]=>[6,1,2,3,9,5,4,8,7]
[7,8,5,6,3,4,2,1,9]=>[9,1,2,4,3,6,5,8,7]
[8,6,9,4,7,3,2,1,5]=>[5,1,2,3,7,4,9,6,8]
[8,6,9,5,4,3,2,1,7]=>[7,1,2,3,4,5,9,6,8]
[2,3,6,5,9,7,8,4,1]=>[1,4,8,7,9,5,6,3,2]
[2,5,4,9,6,7,8,1,3]=>[3,1,8,7,6,9,4,5,2]
[2,4,5,6,7,9,8,1,3]=>[3,1,8,9,7,6,5,4,2]
[5,6,4,9,1,7,3,8,2]=>[2,8,3,7,1,9,4,6,5]
[5,9,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,9,5]
[9,1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1,9]
[6,5,9,1,4,7,3,8,2]=>[2,8,3,7,4,1,9,5,6]
[5,9,1,7,3,6,4,8,2]=>[2,8,4,6,3,7,1,9,5]
[9,1,6,4,5,7,3,8,2]=>[2,8,3,7,5,4,6,1,9]
[6,9,1,5,4,7,3,8,2]=>[2,8,3,7,4,5,1,9,6]
[9,1,4,7,5,6,3,8,2]=>[2,8,3,6,5,7,4,1,9]
[6,5,9,1,3,8,4,7,2]=>[2,7,4,8,3,1,9,5,6]
[8,7,6,5,3,4,2,1,9]=>[9,1,2,4,3,5,6,7,8]
[8,7,6,5,2,3,4,1,9]=>[9,1,4,3,2,5,6,7,8]
[3,1,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,1,3]
[3,2,5,4,1,7,6,9,8]=>[8,9,6,7,1,4,5,2,3]
[5,2,4,3,6,1,8,7,9]=>[9,7,8,1,6,3,4,2,5]
[3,2,7,4,6,5,8,1,9]=>[9,1,8,5,6,4,7,2,3]
[3,2,5,4,9,6,8,7,1]=>[1,7,8,6,9,4,5,2,3]
[3,2,5,4,7,6,1,8,9]=>[9,8,1,6,7,4,5,2,3]
[3,2,5,4,1,7,9,8,6]=>[6,8,9,7,1,4,5,2,3]
[3,2,1,5,7,6,4,9,8]=>[8,9,4,6,7,5,1,2,3]
[1,3,5,4,2,7,6,9,8]=>[8,9,6,7,2,4,5,3,1]
[2,1,4,7,3,5,6,8,9]=>[9,8,6,5,3,7,4,1,2]
[4,1,3,2,9,8,7,6,5]=>[5,6,7,8,9,2,3,1,4]
[6,1,5,4,3,2,9,8,7]=>[7,8,9,2,3,4,5,1,6]
[7,1,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,1,7]
[5,6,7,1,2,3,8,9,4]=>[4,9,8,3,2,1,7,6,5]
[5,1,6,2,3,7,8,9,4]=>[4,9,8,7,3,2,6,1,5]
[6,1,7,8,2,3,4,9,5]=>[5,9,4,3,2,8,7,1,6]
[6,1,2,7,3,4,8,9,5]=>[5,9,8,4,3,7,2,1,6]
[7,1,8,9,5,2,3,4,6]=>[6,4,3,2,5,9,8,1,7]
[7,8,1,2,9,3,4,5,6]=>[6,5,4,3,9,2,1,8,7]
[7,1,2,8,9,3,4,5,6]=>[6,5,4,3,9,8,2,1,7]
[7,1,2,3,8,4,5,9,6]=>[6,9,5,4,8,3,2,1,7]
[8,9,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,9,8]
[8,1,9,2,3,6,4,5,7]=>[7,5,4,6,3,2,9,1,8]
[8,1,2,3,9,6,4,5,7]=>[7,5,4,6,9,3,2,1,8]
[9,1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1,9]
[4,3,5,2,1,6,7,8,9]=>[9,8,7,6,1,2,5,3,4]
[4,3,5,7,2,6,1,8,9]=>[9,8,1,6,2,7,5,3,4]
[5,4,2,6,3,1,7,8,9]=>[9,8,7,1,3,6,2,4,5]
[4,3,5,6,9,2,7,8,1]=>[1,8,7,2,9,6,5,3,4]
[2,7,4,5,8,6,3,1,9]=>[9,1,3,6,8,5,4,7,2]
[5,4,2,6,8,3,7,1,9]=>[9,1,7,3,8,6,2,4,5]
[6,3,7,5,1,4,2,8,9]=>[9,8,2,4,1,5,7,3,6]
[6,5,2,3,7,4,1,8,9]=>[9,8,1,4,7,3,2,5,6]
[6,3,8,5,7,9,4,2,1]=>[1,2,4,9,7,5,8,3,6]
[6,5,2,3,7,9,4,8,1]=>[1,8,4,9,7,3,2,5,6]
[7,6,4,8,3,1,5,2,9]=>[9,2,5,1,3,8,4,6,7]
[7,6,2,3,4,8,5,1,9]=>[9,1,5,8,4,3,2,6,7]
[8,3,9,5,1,7,2,6,4]=>[4,6,2,7,1,5,9,3,8]
[8,7,2,3,4,5,9,6,1]=>[1,6,9,5,4,3,2,7,8]
[8,1,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,1,8]
[8,2,1,4,5,6,7,3,9]=>[9,3,7,6,5,4,1,2,8]
[1,9,3,2,5,6,7,8,4]=>[4,8,7,6,5,2,3,9,1]
[9,8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8,9]
[1,4,5,2,6,7,9,3,8]=>[8,3,9,7,6,2,5,4,1]
[2,9,3,4,5,7,1,6,8]=>[8,6,1,7,5,4,3,9,2]
[2,5,6,1,3,7,9,8,4]=>[4,8,9,7,3,1,6,5,2]
[1,5,6,2,3,7,9,4,8]=>[8,4,9,7,3,2,6,5,1]
[2,9,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,9,2]
[2,6,7,1,3,4,9,8,5]=>[5,8,9,4,3,1,7,6,2]
[2,3,1,5,6,9,8,7,4]=>[4,7,8,9,6,5,1,3,2]
[2,4,5,3,6,7,8,9,1]=>[1,9,8,7,6,3,5,4,2]
[9,8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8,9]
[8,7,6,2,5,1,4,3,9]=>[9,3,4,1,5,2,6,7,8]
[8,7,6,3,5,2,4,1,9]=>[9,1,4,2,5,3,6,7,8]
[8,6,2,5,4,1,3,9,7]=>[7,9,3,1,4,5,2,6,8]
[9,7,3,6,2,5,4,1,8]=>[8,1,4,5,2,6,3,7,9]
[8,7,1,6,4,5,9,3,2]=>[2,3,9,5,4,6,1,7,8]
[3,6,2,5,1,4,8,7,9]=>[9,7,8,4,1,5,2,6,3]
[2,8,9,1,5,4,3,7,6]=>[6,7,3,4,5,1,9,8,2]
[4,7,3,6,2,5,8,1,9]=>[9,1,8,5,2,6,3,7,4]
[9,3,8,2,6,5,4,1,7]=>[7,1,4,5,6,2,8,3,9]
[9,8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8,9]
[7,6,5,9,8,2,1,4,3]=>[3,4,1,2,8,9,5,6,7]
[9,8,7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7,8,9]
[9,8,7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7,8,9]
[9,8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8,9]
[9,8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8,9]
[8,7,6,5,9,1,2,3,4]=>[4,3,2,1,9,5,6,7,8]
[6,5,4,7,8,9,1,2,3]=>[3,2,1,9,8,7,4,5,6]
[7,6,5,9,8,2,1,3,4]=>[4,3,1,2,8,9,5,6,7]
[7,6,5,9,8,1,2,3,4]=>[4,3,2,1,8,9,5,6,7]
[7,6,9,8,1,2,3,4,5]=>[5,4,3,2,1,8,9,6,7]
[6,5,8,7,9,1,2,3,4]=>[4,3,2,1,9,7,8,5,6]
[5,6,7,9,1,2,4,8,3]=>[3,8,4,2,1,9,7,6,5]
[1,5,4,2,6,7,8,9,3]=>[3,9,8,7,6,2,4,5,1]
[1,6,4,5,2,7,8,9,3]=>[3,9,8,7,2,5,4,6,1]
[7,2,4,5,6,1,8,9,3]=>[3,9,8,1,6,5,4,2,7]
[1,8,4,5,6,7,2,9,3]=>[3,9,2,7,6,5,4,8,1]
[2,5,3,1,6,7,8,9,4]=>[4,9,8,7,6,1,3,5,2]
[6,1,5,4,2,7,8,9,3]=>[3,9,8,7,2,4,5,1,6]
[7,1,4,6,5,2,8,9,3]=>[3,9,8,2,5,6,4,1,7]
[2,8,4,5,7,6,1,9,3]=>[3,9,1,6,7,5,4,8,2]
[9,1,4,5,6,8,7,2,3]=>[3,2,7,8,6,5,4,1,9]
[8,1,4,5,6,7,9,2,3]=>[3,2,9,7,6,5,4,1,8]
[1,3,6,5,2,7,8,9,4]=>[4,9,8,7,2,5,6,3,1]
[1,4,7,5,6,3,8,9,2]=>[2,9,8,3,6,5,7,4,1]
[2,3,6,4,1,7,8,9,5]=>[5,9,8,7,1,4,6,3,2]
[5,2,4,8,6,7,3,9,1]=>[1,9,3,7,6,8,4,2,5]
[4,1,7,6,5,3,8,9,2]=>[2,9,8,3,5,6,7,1,4]
[1,6,4,5,9,7,8,3,2]=>[2,3,8,7,9,5,4,6,1]
[5,1,4,8,7,6,3,9,2]=>[2,9,3,6,7,8,4,1,5]
[1,7,4,5,6,8,2,9,3]=>[3,9,2,8,6,5,4,7,1]
[2,6,4,5,9,8,7,3,1]=>[1,3,7,8,9,5,4,6,2]
[7,1,4,5,6,8,9,3,2]=>[2,3,9,8,6,5,4,1,7]
[1,3,2,5,9,8,7,6,4]=>[4,6,7,8,9,5,2,3,1]
[1,3,2,5,7,9,8,6,4]=>[4,6,8,9,7,5,2,3,1]
[1,3,2,5,4,7,9,8,6]=>[6,8,9,7,4,5,2,3,1]
[1,2,3,5,4,7,9,8,6]=>[6,8,9,7,4,5,3,2,1]
[4,1,5,2,3,6,7,8,9]=>[9,8,7,6,3,2,5,1,4]
[1,5,3,2,4,6,7,8,9]=>[9,8,7,6,4,2,3,5,1]
[4,5,3,7,2,8,9,1,6]=>[6,1,9,8,2,7,3,5,4]
[3,1,4,7,8,5,6,9,2]=>[2,9,6,5,8,7,4,1,3]
[8,2,3,4,6,9,5,1,7]=>[7,1,5,9,6,4,3,2,8]
[4,2,1,8,5,9,6,7,3]=>[3,7,6,9,5,8,1,2,4]
[2,3,4,7,5,6,9,1,8]=>[8,1,9,6,5,7,4,3,2]
[7,1,2,4,8,5,6,9,3]=>[3,9,6,5,8,4,2,1,7]
[3,4,6,7,8,5,2,9,1]=>[1,9,2,5,8,7,6,4,3]
[8,2,3,5,4,9,1,6,7]=>[7,6,1,9,4,5,3,2,8]
[8,2,1,5,3,9,6,7,4]=>[4,7,6,9,3,5,1,2,8]
[4,2,7,5,8,9,6,3,1]=>[1,3,6,9,8,5,7,2,4]
[2,3,6,4,5,1,9,7,8]=>[8,7,9,1,5,4,6,3,2]
[9,3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3,9]
[7,1,8,3,4,5,6,2,9]=>[9,2,6,5,4,3,8,1,7]
[7,9,1,8,4,5,6,3,2]=>[2,3,6,5,4,8,1,9,7]
[6,8,7,3,4,5,9,2,1]=>[1,2,9,5,4,3,7,8,6]
[3,4,9,2,8,5,6,7,1]=>[1,7,6,5,8,2,9,4,3]
[8,7,3,1,4,5,6,9,2]=>[2,9,6,5,4,1,3,7,8]
[7,9,2,1,8,5,6,4,3]=>[3,4,6,5,8,1,2,9,7]
[6,1,2,7,4,5,8,3,9]=>[9,3,8,5,4,7,2,1,6]
[5,8,6,3,4,9,1,2,7]=>[7,2,1,9,4,3,6,8,5]
[3,5,9,1,2,8,6,7,4]=>[4,7,6,8,2,1,9,5,3]
[8,4,2,3,7,5,6,1,9]=>[9,1,6,5,7,3,2,4,8]
[7,6,3,1,4,5,9,2,8]=>[8,2,9,5,4,1,3,6,7]
[6,7,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,7,6]
[4,6,1,2,3,5,7,8,9]=>[9,8,7,5,3,2,1,6,4]
[3,6,1,2,4,7,8,9,5]=>[5,9,8,7,4,2,1,6,3]
[1,9,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,9,1]
[1,7,2,9,8,3,4,5,6]=>[6,5,4,3,8,9,2,7,1]
[2,9,1,7,8,3,4,5,6]=>[6,5,4,3,8,7,1,9,2]
[7,6,9,2,3,4,5,1,8]=>[8,1,5,4,3,2,9,6,7]
[3,2,7,1,9,8,4,5,6]=>[6,5,4,8,9,1,7,2,3]
[8,2,7,9,3,4,5,6,1]=>[1,6,5,4,3,9,7,2,8]
[3,9,1,2,7,8,4,5,6]=>[6,5,4,8,7,2,1,9,3]
[7,5,9,2,3,4,1,6,8]=>[8,6,1,4,3,2,9,5,7]
[4,2,7,1,3,9,8,5,6]=>[6,5,8,9,3,1,7,2,4]
[1,3,2,6,9,7,8,4,5]=>[5,4,8,7,9,6,2,3,1]
[8,2,6,9,3,4,5,1,7]=>[7,1,5,4,3,9,6,2,8]
[3,4,1,6,2,5,7,8,9]=>[9,8,7,5,2,6,1,4,3]
[3,4,5,1,7,2,6,8,9]=>[9,8,6,2,7,1,5,4,3]
[3,4,5,6,1,8,2,7,9]=>[9,7,2,8,1,6,5,4,3]
[5,3,6,1,4,7,8,9,2]=>[2,9,8,7,4,1,6,3,5]
[6,3,7,8,1,4,5,9,2]=>[2,9,5,4,1,8,7,3,6]
[4,1,3,5,6,7,8,9,2]=>[2,9,8,7,6,5,3,1,4]
[9,3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3,9]
[7,2,9,8,6,5,4,3,1]=>[1,3,4,5,6,8,9,2,7]
[7,3,9,8,6,5,4,2,1]=>[1,2,4,5,6,8,9,3,7]
[4,8,9,7,6,5,3,2,1]=>[1,2,3,5,6,7,9,8,4]
[7,5,9,8,6,4,3,2,1]=>[1,2,3,4,6,8,9,5,7]
[2,3,9,7,8,6,5,4,1]=>[1,4,5,6,8,7,9,3,2]
[3,4,9,8,6,7,5,2,1]=>[1,2,5,7,6,8,9,4,3]
[8,4,9,7,6,3,5,2,1]=>[1,2,5,3,6,7,9,4,8]
[5,6,9,8,7,4,2,3,1]=>[1,3,2,4,7,8,9,6,5]
[6,8,9,7,5,4,3,1,2]=>[2,1,3,4,5,7,9,8,6]
[7,8,9,2,6,5,4,3,1]=>[1,3,4,5,6,2,9,8,7]
[8,7,1,6,9,5,4,3,2]=>[2,3,4,5,9,6,1,7,8]
[8,6,9,7,2,5,4,3,1]=>[1,3,4,5,2,7,9,6,8]
[2,8,9,1,6,7,5,4,3]=>[3,4,5,7,6,1,9,8,2]
[7,8,9,6,5,2,4,3,1]=>[1,3,4,2,5,6,9,8,7]
[3,8,9,7,1,5,6,4,2]=>[2,4,6,5,1,7,9,8,3]
[7,8,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,8,7]
[8,7,9,6,5,1,3,4,2]=>[2,4,3,1,5,6,9,7,8]
[5,8,9,7,6,4,2,1,3]=>[3,1,2,4,6,7,9,8,5]
[3,4,6,7,1,2,8,9,5]=>[5,9,8,2,1,7,6,4,3]
[3,4,1,5,6,2,8,9,7]=>[7,9,8,2,6,5,1,4,3]
[8,3,4,5,6,9,7,2,1]=>[1,2,7,9,6,5,4,3,8]
[2,3,4,5,6,9,1,8,7]=>[7,8,1,9,6,5,4,3,2]
[9,1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1,9]
[9,1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1,9]
[7,6,5,4,3,9,1,2,8]=>[8,2,1,9,3,4,5,6,7]
[8,7,6,3,9,5,2,1,4]=>[4,1,2,5,9,3,6,7,8]
[5,7,2,8,4,9,6,1,3]=>[3,1,6,9,4,8,2,7,5]
[5,4,8,9,6,1,7,3,2]=>[2,3,7,1,6,9,8,4,5]
[5,4,8,9,1,3,7,2,6]=>[6,2,7,3,1,9,8,4,5]
[5,4,6,3,8,2,1,9,7]=>[7,9,1,2,8,3,6,4,5]
[5,4,9,7,1,3,6,8,2]=>[2,8,6,3,1,7,9,4,5]
[8,9,5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5,9,8]
[6,1,4,8,9,3,7,2,5]=>[5,2,7,3,9,8,4,1,6]
[5,4,8,6,2,9,3,1,7]=>[7,1,3,9,2,6,8,4,5]
[3,1,9,2,8,7,6,5,4]=>[4,5,6,7,8,2,9,1,3]
[9,1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1,9]
[1,5,2,3,4,6,7,9,8]=>[8,9,7,6,4,3,2,5,1]
[2,5,4,6,3,7,8,1,9]=>[9,1,8,7,3,6,4,5,2]
[2,4,5,6,1,7,8,3,9]=>[9,3,8,7,1,6,5,4,2]
[1,3,6,5,7,4,8,9,2]=>[2,9,8,4,7,5,6,3,1]
[1,3,5,6,7,2,8,9,4]=>[4,9,8,2,7,6,5,3,1]
[2,3,4,5,1,6,8,9,7]=>[7,9,8,6,1,5,4,3,2]
[9,2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2,9]
[1,2,7,9,3,6,4,5,8]=>[8,5,4,6,3,9,7,2,1]
[1,2,9,7,3,6,4,5,8]=>[8,5,4,6,3,7,9,2,1]
[1,8,7,9,2,3,6,4,5]=>[5,4,6,3,2,9,7,8,1]
[1,3,6,9,2,7,4,5,8]=>[8,5,4,7,2,9,6,3,1]
[1,7,2,9,6,3,4,5,8]=>[8,5,4,3,6,9,2,7,1]
[1,2,9,7,8,3,6,4,5]=>[5,4,6,3,8,7,9,2,1]
[1,8,6,3,2,7,9,4,5]=>[5,4,9,7,2,3,6,8,1]
[1,2,3,6,9,4,5,7,8]=>[8,7,5,4,9,6,3,2,1]
[1,4,5,9,2,7,3,6,8]=>[8,6,3,7,2,9,5,4,1]
[1,7,2,9,5,4,3,6,8]=>[8,6,3,4,5,9,2,7,1]
[1,3,6,8,2,9,7,4,5]=>[5,4,7,9,2,8,6,3,1]
[1,2,5,4,3,6,7,8,9]=>[9,8,7,6,3,4,5,2,1]
[1,2,3,4,7,6,5,8,9]=>[9,8,5,6,7,4,3,2,1]
[3,9,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,9,3]
[3,9,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,9,3]
[3,9,8,7,6,1,5,4,2]=>[2,4,5,1,6,7,8,9,3]
[5,1,4,3,2,6,7,8,9]=>[9,8,7,6,2,3,4,1,5]
[7,1,6,5,4,3,2,8,9]=>[9,8,2,3,4,5,6,1,7]
[6,5,2,1,3,4,7,8,9]=>[9,8,7,4,3,1,2,5,6]
[8,7,2,1,6,5,3,4,9]=>[9,4,3,5,6,1,2,7,8]
[7,4,6,3,1,2,5,8,9]=>[9,8,5,2,1,3,6,4,7]
[4,7,1,2,6,5,3,8,9]=>[9,8,3,5,6,2,1,7,4]
[9,8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8,9]
[9,4,8,3,1,7,6,2,5]=>[5,2,6,7,1,3,8,4,9]
[4,9,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,9,4]
[8,5,1,7,4,2,3,6,9]=>[9,6,3,2,4,7,1,5,8]
[7,9,6,3,8,1,2,5,4]=>[4,5,2,1,8,3,6,9,7]
[4,9,6,1,8,5,2,3,7]=>[7,3,2,5,8,1,6,9,4]
[5,6,9,1,2,3,8,7,4]=>[4,7,8,3,2,1,9,6,5]
[7,6,1,9,8,5,4,3,2]=>[2,3,4,5,8,9,1,6,7]
[8,1,2,3,4,9,6,5,7]=>[7,5,6,9,4,3,2,1,8]
[8,1,2,3,9,5,6,4,7]=>[7,4,6,5,9,3,2,1,8]
[8,1,9,3,4,5,6,2,7]=>[7,2,6,5,4,3,9,1,8]
[5,1,2,3,4,9,6,8,7]=>[7,8,6,9,4,3,2,1,5]
[4,1,2,3,9,5,6,8,7]=>[7,8,6,5,9,3,2,1,4]
[3,1,2,9,4,5,6,8,7]=>[7,8,6,5,4,9,2,1,3]
[8,2,3,4,5,9,1,6,7]=>[7,6,1,9,5,4,3,2,8]
[2,6,7,8,9,1,3,5,4]=>[4,5,3,1,9,8,7,6,2]
[7,3,6,8,9,1,2,5,4]=>[4,5,2,1,9,8,6,3,7]
[7,6,2,8,9,1,3,4,5]=>[5,4,3,1,9,8,2,6,7]
[2,7,6,8,9,1,3,4,5]=>[5,4,3,1,9,8,6,7,2]
[3,1,9,4,5,6,7,8,2]=>[2,8,7,6,5,4,9,1,3]
[9,2,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,2,9]
[4,1,3,9,5,6,7,8,2]=>[2,8,7,6,5,9,3,1,4]
[3,1,9,4,5,6,7,2,8]=>[8,2,7,6,5,4,9,1,3]
[9,8,7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7,8,9]
[9,8,7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7,8,9]
[9,8,7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7,8,9]
[9,8,7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7,8,9]
[9,8,7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7,8,9]
[2,4,6,3,1,7,8,9,5]=>[5,9,8,7,1,3,6,4,2]
[2,3,5,7,4,1,8,9,6]=>[6,9,8,1,4,7,5,3,2]
[2,3,4,6,8,5,1,9,7]=>[7,9,1,5,8,6,4,3,2]
[2,3,4,5,7,9,6,1,8]=>[8,1,6,9,7,5,4,3,2]
[8,7,6,5,4,1,9,2,3]=>[3,2,9,1,4,5,6,7,8]
[5,6,1,2,7,8,9,3,4]=>[4,3,9,8,7,2,1,6,5]
[5,6,7,1,2,8,9,3,4]=>[4,3,9,8,2,1,7,6,5]
[5,6,7,8,1,2,9,3,4]=>[4,3,9,2,1,8,7,6,5]
[1,2,4,6,7,8,9,3,5]=>[5,3,9,8,7,6,4,2,1]
[1,2,3,5,7,8,9,4,6]=>[6,4,9,8,7,5,3,2,1]
[5,1,2,3,6,8,9,4,7]=>[7,4,9,8,6,3,2,1,5]
[5,6,7,1,2,3,8,4,9]=>[9,4,8,3,2,1,7,6,5]
[8,1,3,9,7,6,5,4,2]=>[2,4,5,6,7,9,3,1,8]
[3,9,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,9,3]
[2,4,9,1,6,7,8,5,3]=>[3,5,8,7,6,1,9,4,2]
[2,3,5,9,1,7,8,6,4]=>[4,6,8,7,1,9,5,3,2]
[2,3,4,6,9,1,8,7,5]=>[5,7,8,1,9,6,4,3,2]
[4,1,2,3,7,8,9,5,6]=>[6,5,9,8,7,3,2,1,4]
[1,6,2,5,3,4,7,9,8]=>[8,9,7,4,3,5,2,6,1]
[1,5,2,4,3,6,9,7,8]=>[8,7,9,6,3,4,2,5,1]
[1,5,2,4,3,6,8,7,9]=>[9,7,8,6,3,4,2,5,1]
[1,4,2,3,5,8,6,7,9]=>[9,7,6,8,5,3,2,4,1]
[1,4,2,3,5,7,6,8,9]=>[9,8,6,7,5,3,2,4,1]
[1,3,2,4,6,5,7,9,8]=>[8,9,7,5,6,4,2,3,1]
[1,3,2,4,6,5,7,8,9]=>[9,8,7,5,6,4,2,3,1]
[8,7,6,5,4,9,1,2,3]=>[3,2,1,9,4,5,6,7,8]
[6,5,8,4,9,3,7,1,2]=>[2,1,7,3,9,4,8,5,6]
[7,5,8,4,9,3,6,1,2]=>[2,1,6,3,9,4,8,5,7]
[6,7,4,8,3,9,5,1,2]=>[2,1,5,9,3,8,4,7,6]
[6,7,5,8,3,9,4,1,2]=>[2,1,4,9,3,8,5,7,6]
[6,7,5,8,4,9,3,1,2]=>[2,1,3,9,4,8,5,7,6]
[6,5,7,4,8,1,3,9,2]=>[2,9,3,1,8,4,7,5,6]
[8,1,5,9,4,6,3,7,2]=>[2,7,3,6,4,9,5,1,8]
[7,1,8,4,9,5,3,6,2]=>[2,6,3,5,9,4,8,1,7]
[6,7,1,8,4,3,9,5,2]=>[2,5,9,3,4,8,1,7,6]
[6,7,5,8,3,1,9,4,2]=>[2,4,9,1,3,8,5,7,6]
[2,4,5,1,6,3,8,7,9]=>[9,7,8,3,6,1,5,4,2]
[2,4,6,1,8,3,5,7,9]=>[9,7,5,3,8,1,6,4,2]
[2,3,4,6,1,5,9,7,8]=>[8,7,9,5,1,6,4,3,2]
[2,4,1,3,5,6,9,7,8]=>[8,7,9,6,5,3,1,4,2]
[2,3,4,5,7,6,9,1,8]=>[8,1,9,6,7,5,4,3,2]
[2,3,4,6,5,1,9,7,8]=>[8,7,9,1,5,6,4,3,2]
[2,3,5,4,1,6,9,7,8]=>[8,7,9,6,1,4,5,3,2]
[2,4,3,1,5,6,9,7,8]=>[8,7,9,6,5,1,3,4,2]
[3,2,1,4,5,6,9,7,8]=>[8,7,9,6,5,4,1,2,3]
[4,5,6,7,8,1,9,3,2]=>[2,3,9,1,8,7,6,5,4]
[4,5,6,7,3,1,9,2,8]=>[8,2,9,1,3,7,6,5,4]
[1,8,3,9,2,4,7,5,6]=>[6,5,7,4,2,9,3,8,1]
[1,7,4,8,3,9,2,5,6]=>[6,5,2,9,3,8,4,7,1]
[1,5,7,4,8,3,9,2,6]=>[6,2,9,3,8,4,7,5,1]
[1,9,2,8,3,4,7,5,6]=>[6,5,7,4,3,8,2,9,1]
[1,8,3,9,2,7,4,5,6]=>[6,5,4,7,2,9,3,8,1]
[1,7,4,8,3,9,2,6,5]=>[5,6,2,9,3,8,4,7,1]
[1,6,2,5,7,4,8,3,9]=>[9,3,8,4,7,5,2,6,1]
[1,5,7,2,4,8,3,9,6]=>[6,9,3,8,4,2,7,5,1]
[1,4,8,2,3,9,5,7,6]=>[6,7,5,9,3,2,8,4,1]
[1,2,7,6,5,4,3,9,8]=>[8,9,3,4,5,6,7,2,1]
[1,2,8,7,6,5,4,9,3]=>[3,9,4,5,6,7,8,2,1]
[1,7,6,5,4,3,8,9,2]=>[2,9,8,3,4,5,6,7,1]
[1,2,8,7,6,5,9,4,3]=>[3,4,9,5,6,7,8,2,1]
[1,5,4,3,2,8,9,7,6]=>[6,7,9,8,2,3,4,5,1]
[1,7,6,5,4,8,9,3,2]=>[2,3,9,8,4,5,6,7,1]
[2,3,7,5,6,4,8,9,1]=>[1,9,8,4,6,5,7,3,2]
[2,3,4,7,9,6,8,5,1]=>[1,5,8,6,9,7,4,3,2]
[2,6,4,7,5,9,8,3,1]=>[1,3,8,9,5,7,4,6,2]
[2,3,8,5,4,7,6,9,1]=>[1,9,6,7,4,5,8,3,2]
[2,3,6,9,5,8,7,4,1]=>[1,4,7,8,5,9,6,3,2]
[2,3,6,4,7,9,8,1,5]=>[5,1,8,9,7,4,6,3,2]
[5,8,4,3,6,7,2,9,1]=>[1,9,2,7,6,3,4,8,5]
[5,3,6,4,9,8,7,2,1]=>[1,2,7,8,9,4,6,3,5]
[2,7,9,4,6,3,8,5,1]=>[1,5,8,3,6,4,9,7,2]
[2,5,9,4,8,6,7,3,1]=>[1,3,7,6,8,4,9,5,2]
[7,5,3,9,6,2,8,1,4]=>[4,1,8,2,6,9,3,5,7]
[2,5,3,9,8,6,7,1,4]=>[4,1,7,6,8,9,3,5,2]
[8,3,2,5,4,7,6,9,1]=>[1,9,6,7,4,5,2,3,8]
[6,9,3,8,5,7,2,4,1]=>[1,4,2,7,5,8,3,9,6]
[4,9,3,8,5,6,7,2,1]=>[1,2,7,6,5,8,3,9,4]
[1,9,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,9,1]
[5,7,8,9,1,2,4,6,3]=>[3,6,4,2,1,9,8,7,5]
[5,6,8,9,1,2,3,7,4]=>[4,7,3,2,1,9,8,6,5]
[5,6,7,8,9,3,2,4,1]=>[1,4,2,3,9,8,7,6,5]
[4,5,7,8,9,1,3,6,2]=>[2,6,3,1,9,8,7,5,4]
[5,6,9,8,1,2,3,7,4]=>[4,7,3,2,1,8,9,6,5]
[5,7,6,9,1,2,3,4,8]=>[8,4,3,2,1,9,6,7,5]
[7,6,9,5,4,3,2,8,1]=>[1,8,2,3,4,5,9,6,7]
[6,8,9,5,4,3,2,1,7]=>[7,1,2,3,4,5,9,8,6]
[7,9,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,9,7]
[5,6,2,7,1,8,4,9,3]=>[3,9,4,8,1,7,2,6,5]
[7,3,6,8,2,5,9,1,4]=>[4,1,9,5,2,8,6,3,7]
[6,3,7,1,5,8,2,9,4]=>[4,9,2,8,5,1,7,3,6]
[3,4,2,7,8,6,9,1,5]=>[5,1,9,6,8,7,2,4,3]
[4,3,7,6,8,1,9,2,5]=>[5,2,9,1,8,6,7,3,4]
[7,2,8,1,4,6,9,3,5]=>[5,3,9,6,4,1,8,2,7]
[4,6,7,1,8,2,9,3,5]=>[5,3,9,2,8,1,7,6,4]
[3,4,1,7,8,5,2,9,6]=>[6,9,2,5,8,7,1,4,3]
[8,5,2,4,7,9,1,3,6]=>[6,3,1,9,7,4,2,5,8]
[4,1,7,5,2,8,3,9,6]=>[6,9,3,8,2,5,7,1,4]
[7,5,1,8,2,9,3,4,6]=>[6,4,3,9,2,8,1,5,7]
[3,1,5,8,2,6,4,9,7]=>[7,9,4,6,2,8,5,1,3]
[8,1,9,5,2,3,6,4,7]=>[7,4,6,3,2,5,9,1,8]
[8,6,4,1,9,2,3,5,7]=>[7,5,3,2,9,1,4,6,8]
[8,1,6,2,3,9,4,5,7]=>[7,5,4,9,3,2,6,1,8]
[9,1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1,9]
[9,1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1,9]
[9,2,7,6,5,4,1,3,8]=>[8,3,1,4,5,6,7,2,9]
[8,1,3,7,6,5,4,2,9]=>[9,2,4,5,6,7,3,1,8]
[3,1,8,7,6,5,2,9,4]=>[4,9,2,5,6,7,8,1,3]
[9,8,2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2,8,9]
[2,4,7,6,5,1,3,8,9]=>[9,8,3,1,5,6,7,4,2]
[5,8,7,6,1,9,3,2,4]=>[4,2,3,9,1,6,7,8,5]
[8,1,9,3,6,5,4,2,7]=>[7,2,4,5,6,3,9,1,8]
[2,1,4,7,6,5,3,8,9]=>[9,8,3,5,6,7,4,1,2]
[4,1,8,7,6,2,9,5,3]=>[3,5,9,2,6,7,8,1,4]
[9,2,8,3,7,4,6,5,1]=>[1,5,6,4,7,3,8,2,9]
[9,8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8,9]
[9,3,8,4,7,2,6,5,1]=>[1,5,6,2,7,4,8,3,9]
[1,6,2,3,4,5,7,9,8]=>[8,9,7,5,4,3,2,6,1]
[5,6,1,2,3,4,7,9,8]=>[8,9,7,4,3,2,1,6,5]
[2,7,3,4,5,6,8,9,1]=>[1,9,8,6,5,4,3,7,2]
[6,7,2,3,4,5,8,9,1]=>[1,9,8,5,4,3,2,7,6]
[1,9,4,3,7,6,2,8,5]=>[5,8,2,6,7,3,4,9,1]
[1,9,5,2,4,3,6,8,7]=>[7,8,6,3,4,2,5,9,1]
[1,9,5,2,8,3,4,6,7]=>[7,6,4,3,8,2,5,9,1]
[1,9,5,2,8,6,4,3,7]=>[7,3,4,6,8,2,5,9,1]
[1,9,5,2,8,3,7,4,6]=>[6,4,7,3,8,2,5,9,1]
[1,5,9,6,8,2,4,3,7]=>[7,3,4,2,8,6,9,5,1]
[1,9,6,4,2,5,8,7,3]=>[3,7,8,5,2,4,6,9,1]
[1,9,6,7,2,5,8,3,4]=>[4,3,8,5,2,7,6,9,1]
[1,9,6,2,8,4,3,5,7]=>[7,5,3,4,8,2,6,9,1]
[1,6,2,3,4,9,7,8,5]=>[5,8,7,9,4,3,2,6,1]
[1,6,2,5,8,4,9,7,3]=>[3,7,9,4,8,5,2,6,1]
[1,9,7,3,2,4,6,8,5]=>[5,8,6,4,2,3,7,9,1]
[1,9,7,4,8,5,2,6,3]=>[3,6,2,5,8,4,7,9,1]
[1,5,9,8,6,3,7,4,2]=>[2,4,7,3,6,8,9,5,1]
[9,7,5,3,2,1,8,6,4]=>[4,6,8,1,2,3,5,7,9]
[2,4,9,1,3,8,7,6,5]=>[5,6,7,8,3,1,9,4,2]
[1,2,5,9,4,8,3,7,6]=>[6,7,3,8,4,9,5,2,1]
[2,4,6,9,1,3,5,8,7]=>[7,8,5,3,1,9,6,4,2]
[3,5,1,2,4,6,7,8,9]=>[9,8,7,6,4,2,1,5,3]
[1,7,2,3,4,5,8,9,6]=>[6,9,8,5,4,3,2,7,1]
[1,6,2,3,4,7,8,9,5]=>[5,9,8,7,4,3,2,6,1]
[1,5,2,3,6,7,8,9,4]=>[4,9,8,7,6,3,2,5,1]
[5,2,3,4,1,7,8,9,6]=>[6,9,8,7,1,4,3,2,5]
[4,2,3,1,6,7,8,9,5]=>[5,9,8,7,6,1,3,2,4]
[4,3,5,2,6,1,8,7,9]=>[9,7,8,1,6,2,5,3,4]
[5,4,6,3,7,2,1,9,8]=>[8,9,1,2,7,3,6,4,5]
[4,3,5,2,1,7,6,9,8]=>[8,9,6,7,1,2,5,3,4]
[4,3,5,2,7,6,8,1,9]=>[9,1,8,6,7,2,5,3,4]
[5,4,6,3,7,2,1,8,9]=>[9,8,1,2,7,3,6,4,5]
[4,3,5,2,1,8,9,7,6]=>[6,7,9,8,1,2,5,3,4]
[3,2,1,6,7,5,4,9,8]=>[8,9,4,5,7,6,1,2,3]
[1,4,5,3,2,7,6,9,8]=>[8,9,6,7,2,3,5,4,1]
[4,8,7,6,3,5,2,1,9]=>[9,1,2,5,3,6,7,8,4]
[5,9,8,7,4,6,1,3,2]=>[2,3,1,6,4,7,8,9,5]
[9,8,7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7,8,9]
[3,5,2,7,4,9,8,6,1]=>[1,6,8,9,4,7,2,5,3]
[9,2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2,9]
[2,3,6,5,7,4,8,9,1]=>[1,9,8,4,7,5,6,3,2]
[2,3,5,7,6,4,8,9,1]=>[1,9,8,4,6,7,5,3,2]
[9,2,3,4,6,7,5,8,1]=>[1,8,5,7,6,4,3,2,9]
[5,2,4,3,6,7,8,9,1]=>[1,9,8,7,6,3,4,2,5]
[6,2,3,5,4,7,8,9,1]=>[1,9,8,7,4,5,3,2,6]
[7,2,3,4,6,5,8,9,1]=>[1,9,8,5,6,4,3,2,7]
[8,2,3,4,5,7,6,9,1]=>[1,9,6,7,5,4,3,2,8]
[2,1,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,1,2]
[2,1,3,6,7,8,9,5,4]=>[4,5,9,8,7,6,3,1,2]
[2,1,3,5,6,7,8,4,9]=>[9,4,8,7,6,5,3,1,2]
[7,6,5,4,9,3,8,1,2]=>[2,1,8,3,9,4,5,6,7]
[6,5,4,3,2,8,7,1,9]=>[9,1,7,8,2,3,4,5,6]
[6,5,4,3,2,8,7,9,1]=>[1,9,7,8,2,3,4,5,6]
[5,4,3,2,8,7,6,1,9]=>[9,1,6,7,8,2,3,4,5]
[5,4,3,2,8,7,6,9,1]=>[1,9,6,7,8,2,3,4,5]
[5,4,3,2,7,6,9,8,1]=>[1,8,9,6,7,2,3,4,5]
[5,4,3,2,7,6,8,9,1]=>[1,9,8,6,7,2,3,4,5]
[4,3,2,7,6,5,1,8,9]=>[9,8,1,5,6,7,2,3,4]
[4,3,2,7,6,5,9,8,1]=>[1,8,9,5,6,7,2,3,4]
[4,3,2,7,6,5,8,9,1]=>[1,9,8,5,6,7,2,3,4]
[4,3,2,6,5,8,7,1,9]=>[9,1,7,8,5,6,2,3,4]
[4,3,2,6,5,7,8,9,1]=>[1,9,8,7,5,6,2,3,4]
[3,2,5,4,7,6,8,9,1]=>[1,9,8,6,7,4,5,2,3]
[3,2,5,4,6,7,8,9,1]=>[1,9,8,7,6,4,5,2,3]
[9,1,4,8,7,6,5,2,3]=>[3,2,5,6,7,8,4,1,9]
[3,5,1,2,6,7,8,9,4]=>[4,9,8,7,6,2,1,5,3]
[3,4,6,1,2,7,8,9,5]=>[5,9,8,7,2,1,6,4,3]
[3,4,5,6,8,1,2,9,7]=>[7,9,2,1,8,6,5,4,3]
[3,5,6,1,2,7,8,9,4]=>[4,9,8,7,2,1,6,5,3]
[3,4,5,7,8,1,2,9,6]=>[6,9,2,1,8,7,5,4,3]
[8,1,2,3,4,6,5,9,7]=>[7,9,5,6,4,3,2,1,8]
[1,8,2,3,5,4,6,9,7]=>[7,9,6,4,5,3,2,8,1]
[1,2,8,4,3,5,6,9,7]=>[7,9,6,5,3,4,8,2,1]
[1,3,2,8,4,5,6,9,7]=>[7,9,6,5,4,8,2,3,1]
[2,1,3,4,8,5,6,9,7]=>[7,9,6,5,8,4,3,1,2]
[6,9,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,9,6]
[5,9,8,4,7,3,2,1,6]=>[6,1,2,3,7,4,8,9,5]
[9,1,2,4,6,8,3,5,7]=>[7,5,3,8,6,4,2,1,9]
[6,8,5,7,4,3,2,1,9]=>[9,1,2,3,4,7,5,8,6]
[6,7,5,4,9,3,2,1,8]=>[8,1,2,3,9,4,5,7,6]
[7,6,5,3,4,2,1,9,8]=>[8,9,1,2,4,3,5,6,7]
[1,2,3,4,7,9,6,8,5]=>[5,8,6,9,7,4,3,2,1]
[1,2,3,6,9,5,7,8,4]=>[4,8,7,5,9,6,3,2,1]
[1,2,5,9,4,6,7,8,3]=>[3,8,7,6,4,9,5,2,1]
[1,4,9,3,5,6,7,8,2]=>[2,8,7,6,5,3,9,4,1]
[1,3,5,2,6,7,4,8,9]=>[9,8,4,7,6,2,5,3,1]
[1,5,6,3,2,4,7,8,9]=>[9,8,7,4,2,3,6,5,1]
[1,2,6,3,7,8,4,5,9]=>[9,5,4,8,7,3,6,2,1]
[1,4,6,3,2,7,8,5,9]=>[9,5,8,7,2,3,6,4,1]
[1,6,2,7,4,5,3,8,9]=>[9,8,3,5,4,7,2,6,1]
[1,6,7,4,3,2,5,8,9]=>[9,8,5,2,3,4,7,6,1]
[1,5,7,4,3,2,8,9,6]=>[6,9,8,2,3,4,7,5,1]
[1,7,2,8,5,6,3,4,9]=>[9,4,3,6,5,8,2,7,1]
[1,7,8,5,4,3,2,6,9]=>[9,6,2,3,4,5,8,7,1]
[1,8,2,4,9,6,7,5,3]=>[3,5,7,6,9,4,2,8,1]
[1,8,2,9,6,7,4,3,5]=>[5,3,4,7,6,9,2,8,1]
[4,5,9,8,7,3,2,1,6]=>[6,1,2,3,7,8,9,5,4]
[5,6,9,8,4,3,2,1,7]=>[7,1,2,3,4,8,9,6,5]
[7,2,1,3,4,5,6,8,9]=>[9,8,6,5,4,3,1,2,7]
[6,2,1,3,4,5,7,8,9]=>[9,8,7,5,4,3,1,2,6]
[9,8,1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1,8,9]
[8,7,1,2,4,3,5,6,9]=>[9,6,5,3,4,2,1,7,8]
[7,6,1,2,3,5,4,8,9]=>[9,8,4,5,3,2,1,6,7]
[5,4,1,2,3,6,7,9,8]=>[8,9,7,6,3,2,1,4,5]
[4,5,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,5,4]
[4,5,9,1,2,3,6,7,8]=>[8,7,6,3,2,1,9,5,4]
[4,5,3,6,2,9,7,1,8]=>[8,1,7,9,2,6,3,5,4]
[4,3,8,5,2,6,1,9,7]=>[7,9,1,6,2,5,8,3,4]
[4,3,5,2,8,6,1,7,9]=>[9,7,1,6,8,2,5,3,4]
[7,8,3,4,2,9,5,1,6]=>[6,1,5,9,2,4,3,8,7]
[3,7,4,2,5,1,8,6,9]=>[9,6,8,1,5,2,4,7,3]
[3,4,2,9,5,1,7,6,8]=>[8,6,7,1,5,9,2,4,3]
[3,4,2,7,5,1,6,8,9]=>[9,8,6,1,5,7,2,4,3]
[3,6,7,2,8,4,1,5,9]=>[9,5,1,4,8,2,7,6,3]
[9,6,3,2,4,1,7,5,8]=>[8,5,7,1,4,2,3,6,9]
[6,3,2,4,1,7,5,8,9]=>[9,8,5,7,1,4,2,3,6]
[3,2,8,4,1,6,5,7,9]=>[9,7,5,6,1,4,8,2,3]
[3,2,6,4,1,5,7,8,9]=>[9,8,7,5,1,4,6,2,3]
[5,8,2,9,6,3,1,4,7]=>[7,4,1,3,6,9,2,8,5]
[8,5,2,3,1,6,4,7,9]=>[9,7,4,6,1,3,2,5,8]
[5,2,3,1,6,4,7,8,9]=>[9,8,7,4,6,1,3,2,5]
[2,9,3,1,7,5,4,6,8]=>[8,6,4,5,7,1,3,9,2]
[2,7,3,1,5,4,6,8,9]=>[9,8,6,4,5,1,3,7,2]
[2,5,3,1,4,6,7,8,9]=>[9,8,7,6,4,1,3,5,2]
[8,2,1,6,4,3,5,7,9]=>[9,7,5,3,4,6,1,2,8]
[1,2,3,4,8,5,6,7,9]=>[9,7,6,5,8,4,3,2,1]
[1,2,3,6,8,4,5,7,9]=>[9,7,5,4,8,6,3,2,1]
[9,1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1,9]
[9,1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1,9]
[9,1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1,9]
[9,5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5,9]
[9,1,8,3,5,2,6,4,7]=>[7,4,6,2,5,3,8,1,9]
[9,1,2,5,4,7,6,3,8]=>[8,3,6,7,4,5,2,1,9]
[9,1,2,8,5,3,7,4,6]=>[6,4,7,3,5,8,2,1,9]
[8,1,2,4,9,5,6,3,7]=>[7,3,6,5,9,4,2,1,8]
[9,7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7,9]
[9,8,2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2,8,9]
[9,1,6,4,8,3,2,5,7]=>[7,5,2,3,8,4,6,1,9]
[9,1,8,4,2,6,7,3,5]=>[5,3,7,6,2,4,8,1,9]
[8,6,3,9,1,2,4,5,7]=>[7,5,4,2,1,9,3,6,8]
[8,1,3,9,4,6,7,2,5]=>[5,2,7,6,4,9,3,1,8]
[9,3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3,9]
[9,7,3,8,5,1,2,4,6]=>[6,4,2,1,5,8,3,7,9]
[9,8,3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3,8,9]
[1,7,9,8,2,6,3,5,4]=>[4,5,3,6,2,8,9,7,1]
[1,6,2,5,9,7,8,3,4]=>[4,3,8,7,9,5,2,6,1]
[1,6,8,7,2,5,3,4,9]=>[9,4,3,5,2,7,8,6,1]
[1,5,8,2,4,3,9,6,7]=>[7,6,9,3,4,2,8,5,1]
[1,5,2,4,8,6,7,3,9]=>[9,3,7,6,8,4,2,5,1]
[1,5,7,2,4,3,6,9,8]=>[8,9,6,3,4,2,7,5,1]
[1,5,7,6,2,4,3,8,9]=>[9,8,3,4,2,6,7,5,1]
[1,4,7,2,8,5,3,6,9]=>[9,6,3,5,8,2,7,4,1]
[1,4,2,3,7,5,6,9,8]=>[8,9,6,5,7,3,2,4,1]
[1,4,2,3,7,5,6,8,9]=>[9,8,6,5,7,3,2,4,1]
[1,4,6,2,3,5,8,7,9]=>[9,7,8,5,3,2,6,4,1]
[1,4,6,5,2,3,7,8,9]=>[9,8,7,3,2,5,6,4,1]
[1,3,9,7,2,6,8,4,5]=>[5,4,8,6,2,7,9,3,1]
[1,3,2,6,4,5,8,7,9]=>[9,7,8,5,4,6,2,3,1]
[1,3,5,9,8,6,2,4,7]=>[7,4,2,6,8,9,5,3,1]
[1,3,5,2,4,7,6,8,9]=>[9,8,6,7,4,2,5,3,1]
[1,3,5,4,2,6,7,8,9]=>[9,8,7,6,2,4,5,3,1]
[1,2,4,8,7,5,3,6,9]=>[9,6,3,5,7,8,4,2,1]
[6,5,9,7,4,3,2,1,8]=>[8,1,2,3,4,7,9,5,6]
[6,5,4,9,7,3,2,1,8]=>[8,1,2,3,7,9,4,5,6]
[6,5,4,3,9,7,2,1,8]=>[8,1,2,7,9,3,4,5,6]
[6,5,4,3,2,9,7,1,8]=>[8,1,7,9,2,3,4,5,6]
[6,9,7,4,3,2,1,8,5]=>[5,8,1,2,3,4,7,9,6]
[6,5,9,7,3,2,1,8,4]=>[4,8,1,2,3,7,9,5,6]
[6,5,4,9,7,2,1,8,3]=>[3,8,1,2,7,9,4,5,6]
[6,5,4,3,9,7,1,8,2]=>[2,8,1,7,9,3,4,5,6]
[6,5,4,3,2,9,7,8,1]=>[1,8,7,9,2,3,4,5,6]
[2,1,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,1,2]
[9,1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1,9]
[2,1,8,3,4,5,9,6,7]=>[7,6,9,5,4,3,8,1,2]
[5,1,2,6,3,4,9,7,8]=>[8,7,9,4,3,6,2,1,5]
[3,1,2,8,4,9,5,6,7]=>[7,6,5,9,4,8,2,1,3]
[6,3,1,5,2,4,8,7,9]=>[9,7,8,4,2,5,1,3,6]
[7,3,1,5,2,4,6,9,8]=>[8,9,6,4,2,5,1,3,7]
[6,5,4,1,2,3,8,7,9]=>[9,7,8,3,2,1,4,5,6]
[8,3,1,7,6,2,4,5,9]=>[9,5,4,2,6,7,1,3,8]
[7,3,1,5,2,4,6,8,9]=>[9,8,6,4,2,5,1,3,7]
[9,1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1,9]
[2,3,4,5,1,8,7,9,6]=>[6,9,7,8,1,5,4,3,2]
[2,3,4,1,7,6,8,9,5]=>[5,9,8,6,7,1,4,3,2]
[2,3,1,6,5,7,8,9,4]=>[4,9,8,7,5,6,1,3,2]
[4,7,6,5,9,8,3,2,1]=>[1,2,3,8,9,5,6,7,4]
[5,7,3,9,1,6,4,8,2]=>[2,8,4,6,1,9,3,7,5]
[6,4,9,1,5,7,3,8,2]=>[2,8,3,7,5,1,9,4,6]
[5,6,9,1,4,7,3,8,2]=>[2,8,3,7,4,1,9,6,5]
[7,5,6,4,9,1,3,8,2]=>[2,8,3,1,9,4,6,5,7]
[6,5,8,4,7,3,9,1,2]=>[2,1,9,3,7,4,8,5,6]
[1,2,3,7,6,5,4,8,9]=>[9,8,4,5,6,7,3,2,1]
[1,2,3,4,8,6,5,9,7]=>[7,9,5,6,8,4,3,2,1]
[1,6,5,4,3,2,7,8,9]=>[9,8,7,2,3,4,5,6,1]
[1,2,7,6,4,3,5,9,8]=>[8,9,5,3,4,6,7,2,1]
[1,2,3,6,5,8,7,4,9]=>[9,4,7,8,5,6,3,2,1]
[1,2,3,8,5,4,7,9,6]=>[6,9,7,4,5,8,3,2,1]
[6,5,4,2,1,3,7,9,8]=>[8,9,7,3,1,2,4,5,6]
[1,7,4,3,2,8,6,5,9]=>[9,5,6,8,2,3,4,7,1]
[1,7,6,3,2,4,8,9,5]=>[5,9,8,4,2,3,6,7,1]
[1,2,6,4,8,5,3,9,7]=>[7,9,3,5,8,4,6,2,1]
[1,2,8,4,3,6,7,9,5]=>[5,9,7,6,3,4,8,2,1]
[7,6,2,1,3,5,8,9,4]=>[4,9,8,5,3,1,2,6,7]
[1,4,3,6,5,8,7,2,9]=>[9,2,7,8,5,6,3,4,1]
[1,6,3,8,4,2,7,9,5]=>[5,9,7,2,4,8,3,6,1]
[1,8,3,2,5,6,7,9,4]=>[4,9,7,6,5,2,3,8,1]
[4,2,6,3,8,5,1,9,7]=>[7,9,1,5,8,3,6,2,4]
[6,2,8,3,1,5,7,9,4]=>[4,9,7,5,1,3,8,2,6]
[8,2,1,4,5,6,7,9,3]=>[3,9,7,6,5,4,1,2,8]
[9,8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8,9]
[8,9,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,9,8]
[5,4,3,2,9,6,8,1,7]=>[7,1,8,6,9,2,3,4,5]
[6,5,4,3,9,7,8,1,2]=>[2,1,8,7,9,3,4,5,6]
[5,4,3,9,6,8,2,1,7]=>[7,1,2,8,6,9,3,4,5]
[5,4,3,1,2,9,7,8,6]=>[6,8,7,9,2,1,3,4,5]
[6,5,4,9,3,1,7,8,2]=>[2,8,7,1,3,9,4,5,6]
[6,5,4,3,8,9,1,7,2]=>[2,7,1,9,8,3,4,5,6]
[5,4,9,6,8,3,2,1,7]=>[7,1,2,3,8,6,9,4,5]
[3,9,4,8,2,5,7,1,6]=>[6,1,7,5,2,8,4,9,3]
[4,3,1,2,9,7,6,8,5]=>[5,8,6,7,9,2,1,3,4]
[6,5,9,4,1,7,3,8,2]=>[2,8,3,7,1,4,9,5,6]
[4,9,5,8,3,6,7,1,2]=>[2,1,7,6,3,8,5,9,4]
[5,4,3,8,1,7,9,6,2]=>[2,6,9,7,1,8,3,4,5]
[7,3,4,5,6,8,9,1,2]=>[2,1,9,8,6,5,4,3,7]
[9,7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7,9]
[9,1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1,9]
[7,2,6,5,4,9,1,8,3]=>[3,8,1,9,4,5,6,2,7]
[4,7,2,6,5,9,1,8,3]=>[3,8,1,9,5,6,2,7,4]
[4,6,2,7,5,9,1,8,3]=>[3,8,1,9,5,7,2,6,4]
[4,7,5,8,1,9,2,6,3]=>[3,6,2,9,1,8,5,7,4]
[7,4,5,8,1,9,2,6,3]=>[3,6,2,9,1,8,5,4,7]
[8,1,9,2,7,4,5,6,3]=>[3,6,5,4,7,2,9,1,8]
[7,2,6,5,9,1,8,3,4]=>[4,3,8,1,9,5,6,2,7]
[4,7,5,2,6,9,1,8,3]=>[3,8,1,9,6,2,5,7,4]
[4,6,2,8,5,7,1,9,3]=>[3,9,1,7,5,8,2,6,4]
[4,7,5,9,1,8,2,6,3]=>[3,6,2,8,1,9,5,7,4]
[6,2,7,4,5,8,1,9,3]=>[3,9,1,8,5,4,7,2,6]
[4,8,1,9,2,7,5,6,3]=>[3,6,5,7,2,9,1,8,4]
[7,4,5,9,2,6,3,8,1]=>[1,8,3,6,2,9,5,4,7]
[4,8,3,5,2,6,1,7,9]=>[9,7,1,6,2,5,3,8,4]
[5,4,8,2,7,3,6,1,9]=>[9,1,6,3,7,2,8,4,5]
[9,8,4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4,8,9]
[9,8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8,9]
[5,4,3,1,9,8,7,6,2]=>[2,6,7,8,9,1,3,4,5]
[9,5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5,9]
[9,5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5,9]
[9,8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8,9]
[9,8,5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5,8,9]
[6,3,1,9,8,7,5,4,2]=>[2,4,5,7,8,9,1,3,6]
[6,5,1,9,8,7,4,3,2]=>[2,3,4,7,8,9,1,5,6]
[9,4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4,9]
[9,6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6,9]
[4,8,7,6,9,5,3,2,1]=>[1,2,3,5,9,6,7,8,4]
[3,8,7,6,5,9,4,2,1]=>[1,2,4,9,5,6,7,8,3]
[9,1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1,9]
[5,6,2,7,4,8,1,9,3]=>[3,9,1,8,4,7,2,6,5]
[8,2,3,4,5,7,9,1,6]=>[6,1,9,7,5,4,3,2,8]
[7,2,3,4,6,9,1,8,5]=>[5,8,1,9,6,4,3,2,7]
[6,2,3,9,4,1,7,8,5]=>[5,8,7,1,4,9,3,2,6]
[5,2,4,9,1,6,7,8,3]=>[3,8,7,6,1,9,4,2,5]
[4,3,9,1,5,6,7,8,2]=>[2,8,7,6,5,1,9,3,4]
[7,2,3,4,5,9,6,8,1]=>[1,8,6,9,5,4,3,2,7]
[6,2,3,4,9,8,7,1,5]=>[5,1,7,8,9,4,3,2,6]
[9,2,3,7,1,6,4,8,5]=>[5,8,4,6,1,7,3,2,9]
[8,2,3,4,1,7,9,5,6]=>[6,5,9,7,1,4,3,2,8]
[4,2,9,6,5,1,7,8,3]=>[3,8,7,1,5,6,9,2,4]
[7,2,3,1,6,9,4,8,5]=>[5,8,4,9,6,1,3,2,7]
[3,9,5,4,1,6,7,8,2]=>[2,8,7,6,1,4,5,9,3]
[6,2,1,9,4,3,7,8,5]=>[5,8,7,3,4,9,1,2,6]
[5,1,4,9,2,6,7,8,3]=>[3,8,7,6,2,9,4,1,5]
[4,3,2,1,9,5,8,6,7]=>[7,6,8,5,9,1,2,3,4]
[5,4,3,2,1,8,6,7,9]=>[9,7,6,8,1,2,3,4,5]
[2,1,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,1,2]
[3,2,1,8,4,7,5,6,9]=>[9,6,5,7,4,8,1,2,3]
[4,3,2,1,6,9,5,7,8]=>[8,7,5,9,6,1,2,3,4]
[4,3,2,1,7,5,6,8,9]=>[9,8,6,5,7,1,2,3,4]
[2,1,6,3,5,9,4,7,8]=>[8,7,4,9,5,3,6,1,2]
[2,1,7,3,6,4,5,8,9]=>[9,8,5,4,6,3,7,1,2]
[3,2,1,5,8,4,6,7,9]=>[9,7,6,4,8,5,1,2,3]
[3,2,1,6,4,5,7,8,9]=>[9,8,7,5,4,6,1,2,3]
[1,4,9,2,5,8,3,6,7]=>[7,6,3,8,5,2,9,4,1]
[1,5,2,4,8,3,6,7,9]=>[9,7,6,3,8,4,2,5,1]
[2,1,4,6,9,3,5,7,8]=>[8,7,5,3,9,6,4,1,2]
[1,3,6,2,4,5,7,8,9]=>[9,8,7,5,4,2,6,3,1]
[8,7,6,9,1,2,3,4,5]=>[5,4,3,2,1,9,6,7,8]
[7,8,5,6,9,1,2,3,4]=>[4,3,2,1,9,6,5,8,7]
[4,2,9,1,5,6,7,8,3]=>[3,8,7,6,5,1,9,2,4]
[5,3,2,9,1,6,7,8,4]=>[4,8,7,6,1,9,2,3,5]
[6,4,3,2,9,1,7,8,5]=>[5,8,7,1,9,2,3,4,6]
[7,5,3,4,2,9,1,8,6]=>[6,8,1,9,2,4,3,5,7]
[8,6,3,4,5,2,9,1,7]=>[7,1,9,2,5,4,3,6,8]
[9,5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5,9]
[9,6,3,5,4,2,7,8,1]=>[1,8,7,2,4,5,3,6,9]
[7,9,3,4,6,5,1,8,2]=>[2,8,1,5,6,4,3,9,7]
[6,3,2,4,9,1,7,8,5]=>[5,8,7,1,9,4,2,3,6]
[7,4,3,2,5,9,1,8,6]=>[6,8,1,9,5,2,3,4,7]
[8,5,3,4,2,6,9,1,7]=>[7,1,9,6,2,4,3,5,8]
[9,8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8,9]
[9,8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8,9]
[9,8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8,9]
[4,5,1,3,6,7,8,9,2]=>[2,9,8,7,6,3,1,5,4]
[2,5,6,1,4,7,8,9,3]=>[3,9,8,7,4,1,6,5,2]
[2,3,6,7,5,1,8,9,4]=>[4,9,8,1,5,7,6,3,2]
[2,3,4,7,8,1,6,9,5]=>[5,9,6,1,8,7,4,3,2]
[2,3,4,5,8,9,1,7,6]=>[6,7,1,9,8,5,4,3,2]
[2,6,4,7,5,3,8,9,1]=>[1,9,8,3,5,7,4,6,2]
[4,6,1,3,5,7,8,9,2]=>[2,9,8,7,5,3,1,6,4]
[2,3,7,5,8,1,4,9,6]=>[6,9,4,1,8,5,7,3,2]
[2,5,7,1,4,6,8,9,3]=>[3,9,8,6,4,1,7,5,2]
[2,3,4,8,6,9,1,5,7]=>[7,5,1,9,6,8,4,3,2]
[2,3,6,8,5,1,7,9,4]=>[4,9,7,1,5,8,6,3,2]
[2,3,4,7,9,1,6,8,5]=>[5,8,6,1,9,7,4,3,2]
[6,5,8,4,3,2,1,9,7]=>[7,9,1,2,3,4,8,5,6]
[5,8,4,3,2,1,7,9,6]=>[6,9,7,1,2,3,4,8,5]
[6,7,5,9,4,3,2,1,8]=>[8,1,2,3,4,9,5,7,6]
[5,6,9,4,3,2,1,8,7]=>[7,8,1,2,3,4,9,6,5]
[6,5,4,8,3,2,1,9,7]=>[7,9,1,2,3,8,4,5,6]
[4,6,8,3,2,1,5,9,7]=>[7,9,5,1,2,3,8,6,4]
[4,8,3,2,1,7,6,9,5]=>[5,9,6,7,1,2,3,8,4]
[4,5,7,9,3,2,1,6,8]=>[8,6,1,2,3,9,7,5,4]
[4,5,9,3,2,1,8,7,6]=>[6,7,8,1,2,3,9,5,4]
[5,1,2,3,4,6,9,8,7]=>[7,8,9,6,4,3,2,1,5]
[3,1,2,4,5,6,9,8,7]=>[7,8,9,6,5,4,2,1,3]
[4,6,1,2,9,3,5,8,7]=>[7,8,5,3,9,2,1,6,4]
[3,1,5,2,4,6,8,9,7]=>[7,9,8,6,4,2,5,1,3]
[2,4,5,1,3,6,9,8,7]=>[7,8,9,6,3,1,5,4,2]
[5,1,2,3,4,7,9,8,6]=>[6,8,9,7,4,3,2,1,5]
[4,1,2,3,5,9,6,8,7]=>[7,8,6,9,5,3,2,1,4]
[3,1,2,4,6,8,5,9,7]=>[7,9,5,8,6,4,2,1,3]
[4,9,1,2,8,3,5,6,7]=>[7,6,5,3,8,2,1,9,4]
[3,6,1,9,2,4,5,8,7]=>[7,8,5,4,2,9,1,6,3]
[2,5,1,3,4,6,8,9,7]=>[7,9,8,6,4,3,1,5,2]
[1,4,2,6,3,8,5,7,9]=>[9,7,5,8,3,6,2,4,1]
[1,4,2,6,3,5,8,7,9]=>[9,7,8,5,3,6,2,4,1]
[1,5,2,6,3,7,4,9,8]=>[8,9,4,7,3,6,2,5,1]
[1,4,2,7,3,8,5,9,6]=>[6,9,5,8,3,7,2,4,1]
[1,4,2,6,3,9,5,7,8]=>[8,7,5,9,3,6,2,4,1]
[1,4,2,6,3,5,8,9,7]=>[7,9,8,5,3,6,2,4,1]
[1,4,2,3,6,8,5,7,9]=>[9,7,5,8,6,3,2,4,1]
[1,5,2,7,3,8,4,9,6]=>[6,9,4,8,3,7,2,5,1]
[1,4,2,7,3,9,5,6,8]=>[8,6,5,9,3,7,2,4,1]
[1,4,2,6,3,5,7,9,8]=>[8,9,7,5,3,6,2,4,1]
[1,4,2,8,3,9,5,6,7]=>[7,6,5,9,3,8,2,4,1]
[1,4,2,3,6,8,5,9,7]=>[7,9,5,8,6,3,2,4,1]
[1,4,2,6,3,5,7,8,9]=>[9,8,7,5,3,6,2,4,1]
[1,2,4,6,3,8,5,7,9]=>[9,7,5,8,3,6,4,2,1]
[1,4,2,3,6,8,9,5,7]=>[7,5,9,8,6,3,2,4,1]
[4,6,3,7,2,8,1,9,5]=>[5,9,1,8,2,7,3,6,4]
[5,7,8,4,3,2,1,9,6]=>[6,9,1,2,3,4,8,7,5]
[4,7,6,8,3,2,1,9,5]=>[5,9,1,2,3,8,6,7,4]
[3,7,6,9,5,2,1,8,4]=>[4,8,1,2,5,9,6,7,3]
[2,7,6,5,4,8,1,9,3]=>[3,9,1,8,4,5,6,7,2]
[5,4,7,8,6,3,2,1,9]=>[9,1,2,3,6,8,7,4,5]
[4,7,6,3,9,5,2,1,8]=>[8,1,2,5,9,3,6,7,4]
[7,8,9,4,3,2,1,6,5]=>[5,6,1,2,3,4,9,8,7]
[3,2,7,6,5,8,4,1,9]=>[9,1,4,8,5,6,7,2,3]
[7,3,6,8,2,1,9,5,4]=>[4,5,9,1,2,8,6,3,7]
[2,1,7,6,5,4,8,3,9]=>[9,3,8,4,5,6,7,1,2]
[7,2,6,9,5,1,8,4,3]=>[3,4,8,1,5,9,6,2,7]
[7,1,6,5,4,8,9,3,2]=>[2,3,9,8,4,5,6,1,7]
[7,6,5,4,1,8,2,9,3]=>[3,9,2,8,1,4,5,6,7]
[6,5,4,9,3,8,2,7,1]=>[1,7,2,8,3,9,4,5,6]
[6,5,4,3,8,1,7,9,2]=>[2,9,7,1,8,3,4,5,6]
[6,5,4,3,8,2,7,9,1]=>[1,9,7,2,8,3,4,5,6]
[5,4,8,3,7,1,6,9,2]=>[2,9,6,1,7,3,8,4,5]
[5,4,8,3,7,2,6,9,1]=>[1,9,6,2,7,3,8,4,5]
[5,4,3,7,9,2,6,8,1]=>[1,8,6,2,9,7,3,4,5]
[5,4,3,7,2,6,8,9,1]=>[1,9,8,6,2,7,3,4,5]
[4,7,1,5,8,2,6,9,3]=>[3,9,6,2,8,5,1,7,4]
[4,7,3,6,9,2,5,8,1]=>[1,8,5,2,9,6,3,7,4]
[4,7,3,6,2,5,8,9,1]=>[1,9,8,5,2,6,3,7,4]
[4,3,6,8,1,5,7,9,2]=>[2,9,7,5,1,8,6,3,4]
[4,3,6,8,2,5,7,9,1]=>[1,9,7,5,2,8,6,3,4]
[4,3,6,2,5,7,8,9,1]=>[1,9,8,7,5,2,6,3,4]
[3,5,7,2,4,6,8,9,1]=>[1,9,8,6,4,2,7,5,3]
[4,3,1,5,6,7,8,2,9]=>[9,2,8,7,6,5,1,3,4]
[4,2,3,1,6,5,8,7,9]=>[9,7,8,5,6,1,3,2,4]
[4,2,6,1,5,3,8,7,9]=>[9,7,8,3,5,1,6,2,4]
[4,2,6,1,8,3,7,5,9]=>[9,5,7,3,8,1,6,2,4]
[6,2,4,3,5,1,8,7,9]=>[9,7,8,1,5,3,4,2,6]
[4,2,6,1,9,3,8,7,5]=>[5,7,8,3,9,1,6,2,4]
[7,8,1,2,3,9,4,5,6]=>[6,5,4,9,3,2,1,8,7]
[3,5,1,6,2,7,4,9,8]=>[8,9,4,7,2,6,1,5,3]
[3,5,1,8,2,7,9,4,6]=>[6,4,9,7,2,8,1,5,3]
[3,5,1,6,2,7,4,8,9]=>[9,8,4,7,2,6,1,5,3]
[3,4,1,5,2,8,7,9,6]=>[6,9,7,8,2,5,1,4,3]
[5,6,7,8,2,1,3,4,9]=>[9,4,3,1,2,8,7,6,5]
[1,6,7,8,9,3,2,4,5]=>[5,4,2,3,9,8,7,6,1]
[5,6,7,8,3,1,2,4,9]=>[9,4,2,1,3,8,7,6,5]
[5,6,7,8,2,3,1,4,9]=>[9,4,1,3,2,8,7,6,5]
[1,6,7,8,9,4,2,3,5]=>[5,3,2,4,9,8,7,6,1]
[1,6,7,8,9,3,4,2,5]=>[5,2,4,3,9,8,7,6,1]
[9,8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8,9]
[5,4,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,4,5]
[5,4,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,4,5]
[5,4,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,4,5]
[4,3,9,2,8,7,1,6,5]=>[5,6,1,7,8,2,9,3,4]
[4,3,9,2,8,1,7,6,5]=>[5,6,7,1,8,2,9,3,4]
[4,3,2,9,8,1,7,6,5]=>[5,6,7,1,8,9,2,3,4]
[3,9,8,2,7,6,1,5,4]=>[4,5,1,6,7,2,8,9,3]
[3,2,9,8,1,7,6,5,4]=>[4,5,6,7,1,8,9,2,3]
[3,2,9,1,8,7,6,5,4]=>[4,5,6,7,8,1,9,2,3]
[9,8,7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7,8,9]
[5,9,2,3,4,6,8,1,7]=>[7,1,8,6,4,3,2,9,5]
[7,2,9,8,1,4,5,6,3]=>[3,6,5,4,1,8,9,2,7]
[9,1,8,7,2,4,5,6,3]=>[3,6,5,4,2,7,8,1,9]
[4,9,2,3,5,1,8,6,7]=>[7,6,8,1,5,3,2,9,4]
[7,2,1,9,8,3,5,6,4]=>[4,6,5,3,8,9,1,2,7]
[4,9,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,9,4]
[8,5,9,6,7,4,3,2,1]=>[1,2,3,4,7,6,9,5,8]
[4,3,8,9,7,5,6,2,1]=>[1,2,6,5,7,9,8,3,4]
[4,6,9,5,7,8,3,2,1]=>[1,2,3,8,7,5,9,6,4]
[7,8,4,9,5,6,3,2,1]=>[1,2,3,6,5,9,4,8,7]
[2,1,8,9,3,7,6,4,5]=>[5,4,6,7,3,9,8,1,2]
[6,9,3,2,7,8,4,5,1]=>[1,5,4,8,7,2,3,9,6]
[7,3,2,8,9,6,4,5,1]=>[1,5,4,6,9,8,2,3,7]
[3,8,5,9,4,6,7,2,1]=>[1,2,7,6,4,9,5,8,3]
[6,7,8,3,9,4,5,2,1]=>[1,2,5,4,9,3,8,7,6]
[8,2,5,1,9,6,7,3,4]=>[4,3,7,6,9,1,5,2,8]
[6,7,2,1,8,9,5,3,4]=>[4,3,5,9,8,1,2,7,6]
[2,4,6,9,3,5,7,8,1]=>[1,8,7,5,3,9,6,4,2]
[7,2,8,4,9,3,5,6,1]=>[1,6,5,3,9,4,8,2,7]
[5,6,7,8,2,9,3,4,1]=>[1,4,3,9,2,8,7,6,5]
[1,3,8,5,9,2,4,6,7]=>[7,6,4,2,9,5,8,3,1]
[6,7,1,8,3,9,2,4,5]=>[5,4,2,9,3,8,1,7,6]
[6,3,7,5,8,2,9,1,4]=>[4,1,9,2,8,5,7,3,6]
[6,3,5,7,1,8,2,9,4]=>[4,9,2,8,1,7,5,3,6]
[7,3,4,2,6,8,1,9,5]=>[5,9,1,8,6,2,4,3,7]
[6,7,4,3,8,1,9,2,5]=>[5,2,9,1,8,3,4,7,6]
[6,7,2,4,8,1,9,3,5]=>[5,3,9,1,8,4,2,7,6]
[4,6,1,7,2,8,3,9,5]=>[5,9,3,8,2,7,1,6,4]
[7,4,3,8,1,5,2,9,6]=>[6,9,2,5,1,8,3,4,7]
[7,2,4,5,1,8,3,9,6]=>[6,9,3,8,1,5,4,2,7]
[4,7,1,8,5,2,9,3,6]=>[6,3,9,2,5,8,1,7,4]
[3,7,5,1,8,2,9,4,6]=>[6,4,9,2,8,1,5,7,3]
[7,1,5,2,8,3,9,4,6]=>[6,4,9,3,8,2,5,1,7]
[3,8,5,1,9,2,6,4,7]=>[7,4,6,2,9,1,5,8,3]
[8,1,5,2,9,3,6,4,7]=>[7,4,6,3,9,2,5,1,8]
[2,8,4,1,6,3,9,5,7]=>[7,5,9,3,6,1,4,8,2]
[8,1,6,4,2,9,3,5,7]=>[7,5,3,9,2,4,6,1,8]
[8,1,6,2,9,3,4,5,7]=>[7,5,4,3,9,2,6,1,8]
[9,1,7,3,2,5,4,6,8]=>[8,6,4,5,2,3,7,1,9]
[9,1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1,9]
[9,1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1,9]
[9,1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1,9]
[9,2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2,9]
[1,9,2,4,8,6,7,3,5]=>[5,3,7,6,8,4,2,9,1]
[1,9,2,8,3,6,7,4,5]=>[5,4,7,6,3,8,2,9,1]
[9,1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1,9]
[9,7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7,9]
[8,2,9,3,7,5,6,1,4]=>[4,1,6,5,7,3,9,2,8]
[9,8,1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1,8,9]
[1,3,9,8,2,6,7,4,5]=>[5,4,7,6,2,8,9,3,1]
[1,9,2,4,8,7,5,3,6]=>[6,3,5,7,8,4,2,9,1]
[1,9,2,8,3,5,7,6,4]=>[4,6,7,5,3,8,2,9,1]
[7,8,1,9,6,5,4,3,2]=>[2,3,4,5,6,9,1,8,7]
[2,6,3,7,8,9,1,4,5]=>[5,4,1,9,8,7,3,6,2]
[2,6,1,7,8,9,3,4,5]=>[5,4,3,9,8,7,1,6,2]
[6,3,1,7,8,9,2,4,5]=>[5,4,2,9,8,7,1,3,6]
[2,7,4,6,8,9,1,3,5]=>[5,3,1,9,8,6,4,7,2]
[2,6,7,3,8,9,1,4,5]=>[5,4,1,9,8,3,7,6,2]
[3,6,2,7,8,9,1,4,5]=>[5,4,1,9,8,7,2,6,3]
[1,9,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,9,1]
[1,9,3,7,4,6,2,8,5]=>[5,8,2,6,4,7,3,9,1]
[1,9,4,3,7,5,6,2,8]=>[8,2,6,5,7,3,4,9,1]
[1,9,4,6,5,3,7,2,8]=>[8,2,7,3,5,6,4,9,1]
[1,9,5,7,6,2,4,3,8]=>[8,3,4,2,6,7,5,9,1]
[1,9,5,3,4,7,2,8,6]=>[6,8,2,7,4,3,5,9,1]
[1,9,5,4,2,8,3,7,6]=>[6,7,3,8,2,4,5,9,1]
[1,9,5,6,2,8,3,7,4]=>[4,7,3,8,2,6,5,9,1]
[1,5,3,4,8,2,9,6,7]=>[7,6,9,2,8,4,3,5,1]
[1,9,6,7,2,5,4,3,8]=>[8,3,4,5,2,7,6,9,1]
[1,9,6,2,5,7,3,8,4]=>[4,8,3,7,5,2,6,9,1]
[1,9,6,2,8,4,5,7,3]=>[3,7,5,4,8,2,6,9,1]
[1,9,6,2,8,4,7,3,5]=>[5,3,7,4,8,2,6,9,1]
[1,6,2,9,7,3,4,5,8]=>[8,5,4,3,7,9,2,6,1]
[1,6,2,9,7,3,5,4,8]=>[8,4,5,3,7,9,2,6,1]
[1,9,7,3,4,6,2,5,8]=>[8,5,2,6,4,3,7,9,1]
[1,9,7,3,6,2,4,8,5]=>[5,8,4,2,6,3,7,9,1]
[1,9,7,4,2,6,3,8,5]=>[5,8,3,6,2,4,7,9,1]
[1,3,7,4,9,8,6,2,5]=>[5,2,6,8,9,4,7,3,1]
[1,5,2,7,4,3,9,8,6]=>[6,8,9,3,4,7,2,5,1]
[1,7,5,3,2,9,8,6,4]=>[4,6,8,9,2,3,5,7,1]
[9,6,8,4,5,2,3,1,7]=>[7,1,3,2,5,4,8,6,9]
[9,5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5,9]
[9,5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5,9]
[9,5,8,3,6,1,4,2,7]=>[7,2,4,1,6,3,8,5,9]
[9,5,8,3,6,4,1,2,7]=>[7,2,1,4,6,3,8,5,9]
[9,5,8,6,3,4,1,2,7]=>[7,2,1,4,3,6,8,5,9]
[9,5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5,9]
[9,4,8,3,6,2,5,1,7]=>[7,1,5,2,6,3,8,4,9]
[9,5,8,2,6,1,4,3,7]=>[7,3,4,1,6,2,8,5,9]
[9,5,8,3,6,4,2,1,7]=>[7,1,2,4,6,3,8,5,9]
[9,5,8,6,3,1,4,2,7]=>[7,2,4,1,3,6,8,5,9]
[9,8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8,9]
[7,5,8,6,3,4,1,2,9]=>[9,2,1,4,3,6,8,5,7]
[2,3,5,6,7,8,4,1,9]=>[9,1,4,8,7,6,5,3,2]
[2,4,5,6,7,3,8,1,9]=>[9,1,8,3,7,6,5,4,2]
[1,3,5,6,7,8,4,9,2]=>[2,9,4,8,7,6,5,3,1]
[1,3,5,7,2,4,6,8,9]=>[9,8,6,4,2,7,5,3,1]
[1,3,5,7,8,2,4,6,9]=>[9,6,4,2,8,7,5,3,1]
[1,2,4,6,8,9,3,5,7]=>[7,5,3,9,8,6,4,2,1]
[6,5,4,3,2,8,9,7,1]=>[1,7,9,8,2,3,4,5,6]
[2,6,5,4,3,9,8,7,1]=>[1,7,8,9,3,4,5,6,2]
[4,5,6,7,8,2,1,9,3]=>[3,9,1,2,8,7,6,5,4]
[5,6,7,8,2,1,3,9,4]=>[4,9,3,1,2,8,7,6,5]
[6,7,8,2,1,3,4,9,5]=>[5,9,4,3,1,2,8,7,6]
[7,8,2,1,3,4,5,9,6]=>[6,9,5,4,3,1,2,8,7]
[1,6,5,7,2,8,4,9,3]=>[3,9,4,8,2,7,5,6,1]
[1,6,2,7,5,8,4,9,3]=>[3,9,4,8,5,7,2,6,1]
[6,7,2,1,5,8,4,9,3]=>[3,9,4,8,5,1,2,7,6]
[1,6,7,5,8,2,4,9,3]=>[3,9,4,2,8,5,7,6,1]
[1,6,7,5,8,4,9,2,3]=>[3,2,9,4,8,5,7,6,1]
[6,5,7,2,8,3,1,9,4]=>[4,9,1,3,8,2,7,5,6]
[6,1,7,2,8,5,9,4,3]=>[3,4,9,5,8,2,7,1,6]
[7,1,6,8,2,9,4,5,3]=>[3,5,4,9,2,8,6,1,7]
[7,2,5,8,1,4,9,6,3]=>[3,6,9,4,1,8,5,2,7]
[6,8,5,9,1,4,7,2,3]=>[3,2,7,4,1,9,5,8,6]
[6,7,5,9,4,8,1,2,3]=>[3,2,1,8,4,9,5,7,6]
[1,6,3,7,2,8,5,9,4]=>[4,9,5,8,2,7,3,6,1]
[1,7,4,6,8,2,5,9,3]=>[3,9,5,2,8,6,4,7,1]
[6,3,7,2,8,4,1,9,5]=>[5,9,1,4,8,2,7,3,6]
[5,2,1,7,6,8,4,9,3]=>[3,9,4,8,6,7,1,2,5]
[7,4,8,1,6,9,2,5,3]=>[3,5,2,9,6,1,8,4,7]
[1,7,5,8,6,2,4,9,3]=>[3,9,4,2,6,8,5,7,1]
[5,1,7,8,2,9,4,6,3]=>[3,6,4,9,2,8,7,1,5]
[1,6,8,5,9,4,7,2,3]=>[3,2,7,4,9,5,8,6,1]
[8,6,2,5,9,1,4,7,3]=>[3,7,4,1,9,5,2,6,8]
[6,9,5,7,1,4,8,2,3]=>[3,2,8,4,1,7,5,9,6]
[4,5,2,1,6,7,8,9,3]=>[3,9,8,7,6,1,2,5,4]
[2,5,6,3,1,7,8,9,4]=>[4,9,8,7,1,3,6,5,2]
[2,3,6,7,4,1,8,9,5]=>[5,9,8,1,4,7,6,3,2]
[2,3,4,7,8,5,1,9,6]=>[6,9,1,5,8,7,4,3,2]
[2,3,4,5,8,9,6,1,7]=>[7,1,6,9,8,5,4,3,2]
[8,3,4,5,6,9,1,2,7]=>[7,2,1,9,6,5,4,3,8]
[8,9,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,9,8]
[7,3,4,5,6,9,8,1,2]=>[2,1,8,9,6,5,4,3,7]
[2,3,4,5,9,6,8,1,7]=>[7,1,8,6,9,5,4,3,2]
[2,3,4,9,5,7,8,1,6]=>[6,1,8,7,5,9,4,3,2]
[2,3,9,4,6,7,8,5,1]=>[1,5,8,7,6,4,9,3,2]
[2,9,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,9,2]
[2,3,4,5,9,8,1,7,6]=>[6,7,1,8,9,5,4,3,2]
[2,3,4,9,7,1,8,6,5]=>[5,6,8,1,7,9,4,3,2]
[2,3,9,6,5,7,8,1,4]=>[4,1,8,7,5,6,9,3,2]
[2,3,4,9,5,6,8,1,7]=>[7,1,8,6,5,9,4,3,2]
[2,9,5,1,6,7,8,4,3]=>[3,4,8,7,6,1,5,9,2]
[2,3,9,4,5,7,8,1,6]=>[6,1,8,7,5,4,9,3,2]
[9,4,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,4,9]
[2,9,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,9,2]
[9,2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2,9]
[1,4,7,2,9,3,8,5,6]=>[6,5,8,3,9,2,7,4,1]
[1,5,2,9,3,8,4,7,6]=>[6,7,4,8,3,9,2,5,1]
[1,6,7,5,2,9,3,8,4]=>[4,8,3,9,2,5,7,6,1]
[1,7,5,8,4,2,9,3,6]=>[6,3,9,2,4,8,5,7,1]
[1,8,4,9,3,2,5,7,6]=>[6,7,5,2,3,9,4,8,1]
[1,2,9,4,7,3,8,5,6]=>[6,5,8,3,7,4,9,2,1]
[1,2,9,3,8,5,4,7,6]=>[6,7,4,5,8,3,9,2,1]
[1,4,7,2,9,5,6,3,8]=>[8,3,6,5,9,2,7,4,1]
[1,2,9,3,8,4,5,6,7]=>[7,6,5,4,8,3,9,2,1]
[1,5,4,7,2,9,3,8,6]=>[6,8,3,9,2,7,4,5,1]
[1,2,9,3,6,7,5,8,4]=>[4,8,5,7,6,3,9,2,1]
[1,6,2,9,3,8,4,5,7]=>[7,5,4,8,3,9,2,6,1]
[1,2,7,5,8,4,9,3,6]=>[6,3,9,4,8,5,7,2,1]
[1,7,5,2,9,3,6,8,4]=>[4,8,6,3,9,2,5,7,1]
[1,8,4,2,7,5,9,3,6]=>[6,3,9,5,7,2,4,8,1]
[5,6,4,8,3,9,2,7,1]=>[1,7,2,9,3,8,4,6,5]
[5,7,4,8,3,9,2,6,1]=>[1,6,2,9,3,8,4,7,5]
[6,5,7,3,8,2,9,4,1]=>[1,4,9,2,8,3,7,5,6]
[5,8,4,6,3,9,2,7,1]=>[1,7,2,9,3,6,4,8,5]
[7,5,4,8,3,9,2,6,1]=>[1,6,2,9,3,8,4,5,7]
[6,7,4,8,3,9,2,5,1]=>[1,5,2,9,3,8,4,7,6]
[6,3,7,5,8,2,9,4,1]=>[1,4,9,2,8,5,7,3,6]
[6,5,7,2,8,4,9,3,1]=>[1,3,9,4,8,2,7,5,6]
[1,7,4,9,6,3,8,5,2]=>[2,5,8,3,6,9,4,7,1]
[1,7,4,6,9,3,5,8,2]=>[2,8,5,3,9,6,4,7,1]
[1,4,6,8,3,5,7,9,2]=>[2,9,7,5,3,8,6,4,1]
[1,7,5,3,9,6,4,2,8]=>[8,2,4,6,9,3,5,7,1]
[1,4,8,6,3,9,7,5,2]=>[2,5,7,9,3,6,8,4,1]
[1,4,8,6,3,7,9,5,2]=>[2,5,9,7,3,6,8,4,1]
[1,5,8,3,6,9,4,7,2]=>[2,7,4,9,6,3,8,5,1]
[1,6,3,8,4,9,5,2,7]=>[7,2,5,9,4,8,3,6,1]
[1,5,7,3,8,4,9,6,2]=>[2,6,9,4,8,3,7,5,1]
[1,6,8,3,4,5,7,9,2]=>[2,9,7,5,4,3,8,6,1]
[1,6,8,3,4,5,9,7,2]=>[2,7,9,5,4,3,8,6,1]
[1,5,7,3,9,4,8,6,2]=>[2,6,8,4,9,3,7,5,1]
[1,3,5,7,8,9,2,4,6]=>[6,4,2,9,8,7,5,3,1]
[1,5,3,7,8,9,6,4,2]=>[2,4,6,9,8,7,3,5,1]
[1,5,3,7,8,9,4,6,2]=>[2,6,4,9,8,7,3,5,1]
[1,3,5,8,7,6,9,2,4]=>[4,2,9,6,7,8,5,3,1]
[1,8,3,6,5,4,7,9,2]=>[2,9,7,4,5,6,3,8,1]
[1,5,3,7,9,8,4,6,2]=>[2,6,4,8,9,7,3,5,1]
[1,3,8,5,6,7,4,9,2]=>[2,9,4,7,6,5,8,3,1]
[1,7,3,6,4,8,2,9,5]=>[5,9,2,8,4,6,3,7,1]
[1,6,4,5,7,3,8,2,9]=>[9,2,8,3,7,5,4,6,1]
[1,5,4,7,3,8,2,9,6]=>[6,9,2,8,3,7,4,5,1]
[1,4,7,5,6,3,8,2,9]=>[9,2,8,3,6,5,7,4,1]
[1,3,8,4,7,2,9,5,6]=>[6,5,9,2,7,4,8,3,1]
[9,3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3,9]
[9,4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4,9]
[9,5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5,9]
[9,7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7,9]
[5,6,7,3,2,1,8,9,4]=>[4,9,8,1,2,3,7,6,5]
[5,1,6,3,2,7,8,9,4]=>[4,9,8,7,2,3,6,1,5]
[6,1,7,8,4,3,2,9,5]=>[5,9,2,3,4,8,7,1,6]
[6,7,2,1,4,3,8,9,5]=>[5,9,8,3,4,1,2,7,6]
[6,1,2,7,4,3,8,9,5]=>[5,9,8,3,4,7,2,1,6]
[7,8,2,1,9,5,4,3,6]=>[6,3,4,5,9,1,2,8,7]
[7,1,2,8,9,5,4,3,6]=>[6,3,4,5,9,8,2,1,7]
[7,1,8,3,2,5,4,9,6]=>[6,9,4,5,2,3,8,1,7]
[7,1,2,3,8,5,4,9,6]=>[6,9,4,5,8,3,2,1,7]
[8,1,9,3,2,6,5,4,7]=>[7,4,5,6,2,3,9,1,8]
[8,1,2,3,9,6,5,4,7]=>[7,4,5,6,9,3,2,1,8]
[8,9,2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2,9,8]
[8,1,2,9,4,3,6,5,7]=>[7,5,6,3,4,9,2,1,8]
[3,6,4,2,8,5,9,7,1]=>[1,7,9,5,8,2,4,6,3]
[6,4,5,1,8,3,9,7,2]=>[2,7,9,3,8,1,5,4,6]
[6,4,8,1,7,3,9,5,2]=>[2,5,9,3,7,1,8,4,6]
[6,4,8,1,9,3,7,5,2]=>[2,5,7,3,9,1,8,4,6]
[6,4,7,1,9,3,5,8,2]=>[2,8,5,3,9,1,7,4,6]
[5,4,7,1,3,9,6,8,2]=>[2,8,6,9,3,1,7,4,5]
[5,3,1,7,4,9,6,8,2]=>[2,8,6,9,4,7,1,3,5]
[3,5,4,8,6,1,9,7,2]=>[2,7,9,1,6,8,4,5,3]
[6,4,5,1,8,7,9,2,3]=>[3,2,9,7,8,1,5,4,6]
[6,4,8,1,7,3,5,9,2]=>[2,9,5,3,7,1,8,4,6]
[6,4,7,1,8,3,5,9,2]=>[2,9,5,3,8,1,7,4,6]
[5,4,8,1,3,9,7,6,2]=>[2,6,7,9,3,1,8,4,5]
[6,3,1,7,9,4,5,8,2]=>[2,8,5,4,9,7,1,3,6]
[4,5,7,2,3,9,6,8,1]=>[1,8,6,9,3,2,7,5,4]
[3,1,6,4,7,2,8,9,5]=>[5,9,8,2,7,4,6,1,3]
[8,7,3,4,5,6,1,2,9]=>[9,2,1,6,5,4,3,7,8]
[1,9,8,4,5,6,7,2,3]=>[3,2,7,6,5,4,8,9,1]
[1,9,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,9,1]
[1,7,2,9,3,6,4,5,8]=>[8,5,4,6,3,9,2,7,1]
[1,8,2,9,7,3,6,4,5]=>[5,4,6,3,7,9,2,8,1]
[1,9,2,7,3,6,4,5,8]=>[8,5,4,6,3,7,2,9,1]
[3,9,8,7,6,5,1,2,4]=>[4,2,1,5,6,7,8,9,3]
[5,4,2,3,1,9,8,7,6]=>[6,7,8,9,1,3,2,4,5]
[1,2,3,4,8,5,7,9,6]=>[6,9,7,5,8,4,3,2,1]
[1,2,7,3,8,4,6,9,5]=>[5,9,6,4,8,3,7,2,1]
[1,2,3,6,8,4,7,9,5]=>[5,9,7,4,8,6,3,2,1]
[1,2,3,8,4,6,7,9,5]=>[5,9,7,6,4,8,3,2,1]
[6,1,7,2,8,3,5,9,4]=>[4,9,5,3,8,2,7,1,6]
[1,7,2,5,8,3,6,9,4]=>[4,9,6,3,8,5,2,7,1]
[1,7,2,8,3,5,6,9,4]=>[4,9,6,5,3,8,2,7,1]
[1,2,6,8,3,5,7,9,4]=>[4,9,7,5,3,8,6,2,1]
[1,2,8,3,5,6,7,9,4]=>[4,9,7,6,5,3,8,2,1]
[7,1,5,8,2,4,6,9,3]=>[3,9,6,4,2,8,5,1,7]
[7,1,8,2,4,5,6,9,3]=>[3,9,6,5,4,2,8,1,7]
[1,4,6,8,2,5,7,9,3]=>[3,9,7,5,2,8,6,4,1]
[1,6,8,2,4,5,7,9,3]=>[3,9,7,5,4,2,8,6,1]
[1,8,2,4,5,6,7,9,3]=>[3,9,7,6,5,4,2,8,1]
[4,6,8,1,3,5,7,9,2]=>[2,9,7,5,3,1,8,6,4]
[6,8,1,3,4,5,7,9,2]=>[2,9,7,5,4,3,1,8,6]
[8,1,3,4,5,6,7,9,2]=>[2,9,7,6,5,4,3,1,8]
[4,2,5,6,7,1,8,9,3]=>[3,9,8,1,7,6,5,2,4]
[5,1,6,4,2,7,8,9,3]=>[3,9,8,7,2,4,6,1,5]
[4,1,6,7,5,2,8,9,3]=>[3,9,8,2,5,7,6,1,4]
[2,4,5,7,8,6,1,9,3]=>[3,9,1,6,8,7,5,4,2]
[4,1,5,6,8,9,7,2,3]=>[3,2,7,9,8,6,5,1,4]
[4,1,5,6,7,9,8,2,3]=>[3,2,8,9,7,6,5,1,4]
[1,3,5,6,2,7,8,9,4]=>[4,9,8,7,2,6,5,3,1]
[1,5,4,6,7,2,8,9,3]=>[3,9,8,2,7,6,4,5,1]
[4,2,6,5,7,8,1,9,3]=>[3,9,1,8,7,5,6,2,4]
[6,1,4,7,5,2,8,9,3]=>[3,9,8,2,5,7,4,1,6]
[1,4,5,7,6,8,9,2,3]=>[3,2,9,8,6,7,5,4,1]
[4,1,7,5,8,6,2,9,3]=>[3,9,2,6,8,5,7,1,4]
[1,4,5,6,8,7,2,9,3]=>[3,9,2,7,8,6,5,4,1]
[2,4,5,8,6,9,7,1,3]=>[3,1,7,9,6,8,5,4,2]
[4,1,5,6,9,7,8,2,3]=>[3,2,8,7,9,6,5,1,4]
[2,4,6,7,8,9,1,5,3]=>[3,5,1,9,8,7,6,4,2]
[4,5,6,8,1,2,3,9,7]=>[7,9,3,2,1,8,6,5,4]
[4,5,6,8,1,2,7,9,3]=>[3,9,7,2,1,8,6,5,4]
[4,5,6,8,1,2,9,7,3]=>[3,7,9,2,1,8,6,5,4]
[4,5,7,8,1,2,6,9,3]=>[3,9,6,2,1,8,7,5,4]
[4,5,7,8,1,6,2,9,3]=>[3,9,2,6,1,8,7,5,4]
[4,5,6,9,1,2,8,3,7]=>[7,3,8,2,1,9,6,5,4]
[1,3,4,6,2,5,7,8,9]=>[9,8,7,5,2,6,4,3,1]
[1,3,5,6,2,4,7,8,9]=>[9,8,7,4,2,6,5,3,1]
[1,3,5,6,7,2,4,8,9]=>[9,8,4,2,7,6,5,3,1]
[1,3,4,5,7,2,6,8,9]=>[9,8,6,2,7,5,4,3,1]
[1,3,5,4,7,2,6,8,9]=>[9,8,6,2,7,4,5,3,1]
[1,3,5,4,6,2,7,8,9]=>[9,8,7,2,6,4,5,3,1]
[1,3,5,4,7,8,2,6,9]=>[9,6,2,8,7,4,5,3,1]
[1,3,5,4,6,8,2,7,9]=>[9,7,2,8,6,4,5,3,1]
[1,3,5,7,6,8,2,4,9]=>[9,4,2,8,6,7,5,3,1]
[1,3,5,6,4,8,2,7,9]=>[9,7,2,8,4,6,5,3,1]
[1,3,5,6,4,7,2,8,9]=>[9,8,2,7,4,6,5,3,1]
[1,3,5,7,6,4,2,8,9]=>[9,8,2,4,6,7,5,3,1]
[1,3,5,7,8,4,9,2,6]=>[6,2,9,4,8,7,5,3,1]
[1,3,5,6,7,4,9,2,8]=>[8,2,9,4,7,6,5,3,1]
[1,3,5,7,6,4,8,2,9]=>[9,2,8,4,6,7,5,3,1]
[6,5,9,4,8,3,7,1,2]=>[2,1,7,3,8,4,9,5,6]
[6,5,4,9,3,8,1,2,7]=>[7,2,1,8,3,9,4,5,6]
[6,5,4,3,8,9,1,2,7]=>[7,2,1,9,8,3,4,5,6]
[6,5,4,3,8,1,2,7,9]=>[9,7,2,1,8,3,4,5,6]
[5,4,8,3,7,9,1,2,6]=>[6,2,1,9,7,3,8,4,5]
[5,4,8,3,7,1,2,6,9]=>[9,6,2,1,7,3,8,4,5]
[5,4,3,7,9,1,2,6,8]=>[8,6,2,1,9,7,3,4,5]
[5,4,3,7,1,2,6,8,9]=>[9,8,6,2,1,7,3,4,5]
[4,7,9,3,6,8,1,2,5]=>[5,2,1,8,6,3,9,7,4]
[4,7,3,6,1,2,5,8,9]=>[9,8,5,2,1,6,3,7,4]
[4,3,6,8,9,1,2,5,7]=>[7,5,2,1,9,8,6,3,4]
[4,3,6,1,2,5,7,8,9]=>[9,8,7,5,2,1,6,3,4]
[3,5,7,1,2,4,6,8,9]=>[9,8,6,4,2,1,7,5,3]
[8,6,4,1,3,2,5,7,9]=>[9,7,5,2,3,1,4,6,8]
[8,6,4,3,1,2,5,7,9]=>[9,7,5,2,1,3,4,6,8]
[1,9,7,5,2,4,3,6,8]=>[8,6,3,4,2,5,7,9,1]
[1,9,7,5,4,2,3,6,8]=>[8,6,3,2,4,5,7,9,1]
[9,1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1,9]
[1,8,2,7,3,6,5,4,9]=>[9,4,5,6,3,7,2,8,1]
[9,8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8,9]
[9,8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8,9]
[9,5,8,2,7,6,1,4,3]=>[3,4,1,6,7,2,8,5,9]
[9,5,8,4,7,1,6,3,2]=>[2,3,6,1,7,4,8,5,9]
[9,8,3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3,8,9]
[9,8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8,9]
[6,9,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,9,6]
[9,2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2,9]
[9,4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4,9]
[9,6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6,9]
[5,9,8,1,7,6,4,3,2]=>[2,3,4,6,7,1,8,9,5]
[4,5,6,7,2,9,1,8,3]=>[3,8,1,9,2,7,6,5,4]
[3,4,5,1,6,9,7,2,8]=>[8,2,7,9,6,1,5,4,3]
[5,6,7,9,8,1,3,2,4]=>[4,2,3,1,8,9,7,6,5]
[4,5,6,2,8,1,7,9,3]=>[3,9,7,1,8,2,6,5,4]
[5,6,7,4,9,2,1,3,8]=>[8,3,1,2,9,4,7,6,5]
[3,4,1,5,9,6,7,2,8]=>[8,2,7,6,9,5,1,4,3]
[5,2,6,3,9,8,1,7,4]=>[4,7,1,8,9,3,6,2,5]
[4,5,2,7,1,6,8,9,3]=>[3,9,8,6,1,7,2,5,4]
[8,9,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,9,8]
[8,9,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,9,8]
[8,9,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,9,8]
[9,8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8,9]
[9,8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8,9]
[9,8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8,9]
[2,1,3,4,5,7,6,8,9]=>[9,8,6,7,5,4,3,1,2]
[3,1,2,4,6,5,7,8,9]=>[9,8,7,5,6,4,2,1,3]
[2,1,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,1,2]
[4,1,2,3,5,6,9,8,7]=>[7,8,9,6,5,3,2,1,4]
[5,1,2,3,4,7,8,6,9]=>[9,6,8,7,4,3,2,1,5]
[6,1,2,3,5,7,4,8,9]=>[9,8,4,7,5,3,2,1,6]
[7,1,2,5,4,3,6,8,9]=>[9,8,6,3,4,5,2,1,7]
[8,1,3,4,2,5,6,7,9]=>[9,7,6,5,2,4,3,1,8]
[2,1,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,1,2]
[2,1,3,4,8,6,5,7,9]=>[9,7,5,6,8,4,3,1,2]
[5,1,2,3,4,9,8,7,6]=>[6,7,8,9,4,3,2,1,5]
[3,1,2,8,5,4,6,7,9]=>[9,7,6,4,5,8,2,1,3]
[6,1,2,3,9,5,7,4,8]=>[8,4,7,5,9,3,2,1,6]
[2,1,8,4,3,5,6,7,9]=>[9,7,6,5,3,4,8,1,2]
[7,1,2,9,4,5,3,6,8]=>[8,6,3,5,4,9,2,1,7]
[2,8,3,1,4,5,6,7,9]=>[9,7,6,5,4,1,3,8,2]
[8,1,9,4,3,2,5,6,7]=>[7,6,5,2,3,4,9,1,8]
[9,8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8,9]
[6,5,4,3,9,8,7,2,1]=>[1,2,7,8,9,3,4,5,6]
[3,6,5,4,9,8,7,2,1]=>[1,2,7,8,9,4,5,6,3]
[8,2,1,3,4,5,9,6,7]=>[7,6,9,5,4,3,1,2,8]
[9,1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1,9]
[1,8,6,5,4,3,2,7,9]=>[9,7,2,3,4,5,6,8,1]
[1,8,6,9,7,5,4,3,2]=>[2,3,4,5,7,9,6,8,1]
[1,8,6,4,2,3,9,7,5]=>[5,7,9,3,2,4,6,8,1]
[1,5,4,3,2,6,8,7,9]=>[9,7,8,6,2,3,4,5,1]
[1,4,3,2,5,8,6,9,7]=>[7,9,6,8,5,2,3,4,1]
[1,3,2,4,8,6,5,9,7]=>[7,9,5,6,8,4,2,3,1]
[9,7,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,7,9]
[9,7,5,3,1,2,6,8,4]=>[4,8,6,2,1,3,5,7,9]
[9,7,5,3,1,4,6,8,2]=>[2,8,6,4,1,3,5,7,9]
[9,7,5,2,1,4,6,8,3]=>[3,8,6,4,1,2,5,7,9]
[9,7,4,2,1,3,6,8,5]=>[5,8,6,3,1,2,4,7,9]
[9,7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7,9]
[9,7,5,3,1,6,4,8,2]=>[2,8,4,6,1,3,5,7,9]
[9,7,5,2,4,3,6,8,1]=>[1,8,6,3,4,2,5,7,9]
[9,7,5,1,2,4,6,8,3]=>[3,8,6,4,2,1,5,7,9]
[9,7,2,4,1,3,6,8,5]=>[5,8,6,3,1,4,2,7,9]
[9,4,6,2,1,3,5,8,7]=>[7,8,5,3,1,2,6,4,9]
[6,8,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,8,6]
[6,1,2,3,9,4,5,7,8]=>[8,7,5,4,9,3,2,1,6]
[4,1,2,3,5,6,9,7,8]=>[8,7,9,6,5,3,2,1,4]
[9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9]
[9,8,5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5,8,9]
[9,5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5,9]
[9,8,3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3,8,9]
[9,3,6,5,4,8,7,2,1]=>[1,2,7,8,4,5,6,3,9]
[9,2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2,9]
[4,9,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,9,4]
[5,9,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,9,5]
[6,9,8,5,1,7,4,3,2]=>[2,3,4,7,1,5,8,9,6]
[5,4,3,2,1,7,9,8,6]=>[6,8,9,7,1,2,3,4,5]
[4,3,2,1,6,9,8,7,5]=>[5,7,8,9,6,1,2,3,4]
[3,2,1,5,9,8,7,6,4]=>[4,6,7,8,9,5,1,2,3]
[3,8,9,1,4,5,6,7,2]=>[2,7,6,5,4,1,9,8,3]
[2,9,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,9,2]
[9,8,1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1,8,9]
[3,4,5,7,8,9,6,2,1]=>[1,2,6,9,8,7,5,4,3]
[2,7,6,4,9,3,8,1,5]=>[5,1,8,3,9,4,6,7,2]
[2,3,5,7,6,4,8,1,9]=>[9,1,8,4,6,7,5,3,2]
[1,3,4,6,8,7,5,9,2]=>[2,9,5,7,8,6,4,3,1]
[1,5,6,8,2,3,7,9,4]=>[4,9,7,3,2,8,6,5,1]
[1,5,6,8,2,3,4,9,7]=>[7,9,4,3,2,8,6,5,1]
[5,1,6,9,2,3,8,4,7]=>[7,4,8,3,2,9,6,1,5]
[7,3,5,8,1,6,4,9,2]=>[2,9,4,6,1,8,5,3,7]
[7,5,2,8,1,3,6,9,4]=>[4,9,6,3,1,8,2,5,7]
[5,2,6,8,1,3,9,7,4]=>[4,7,9,3,1,8,6,2,5]
[5,8,2,9,1,3,7,4,6]=>[6,4,7,3,1,9,2,8,5]
[1,5,3,8,2,6,9,4,7]=>[7,4,9,6,2,8,3,5,1]
[8,4,6,7,5,1,3,9,2]=>[2,9,3,1,5,7,6,4,8]
[7,6,8,3,1,4,5,9,2]=>[2,9,5,4,1,3,8,6,7]
[1,5,2,8,3,4,9,6,7]=>[7,6,9,4,3,8,2,5,1]
[6,3,5,9,1,8,2,7,4]=>[4,7,2,8,1,9,5,3,6]
[9,2,8,3,7,6,5,4,1]=>[1,4,5,6,7,3,8,2,9]
[9,3,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,3,9]
[9,1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1,9]
[9,3,8,4,7,1,6,5,2]=>[2,5,6,1,7,4,8,3,9]
[9,4,8,3,7,2,6,5,1]=>[1,5,6,2,7,3,8,4,9]
[9,2,8,3,7,4,5,6,1]=>[1,6,5,4,7,3,8,2,9]
[9,3,8,4,5,7,1,6,2]=>[2,6,1,7,5,4,8,3,9]
[9,3,8,4,5,7,2,6,1]=>[1,6,2,7,5,4,8,3,9]
[9,4,5,8,2,7,3,6,1]=>[1,6,3,7,2,8,5,4,9]
[9,4,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,4,9]
[4,5,6,9,2,8,3,7,1]=>[1,7,3,8,2,9,6,5,4]
[6,5,3,9,4,8,1,7,2]=>[2,7,1,8,4,9,3,5,6]
[6,5,3,9,4,8,2,7,1]=>[1,7,2,8,4,9,3,5,6]
[7,4,5,6,2,9,3,8,1]=>[1,8,3,9,2,6,5,4,7]
[2,4,5,6,3,7,8,1,9]=>[9,1,8,7,3,6,5,4,2]
[2,8,4,5,6,7,1,3,9]=>[9,3,1,7,6,5,4,8,2]
[3,8,9,5,6,7,1,2,4]=>[4,2,1,7,6,5,9,8,3]
[9,8,4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4,8,9]
[9,4,1,2,6,7,8,5,3]=>[3,5,8,7,6,2,1,4,9]
[4,5,3,6,7,9,1,2,8]=>[8,2,1,9,7,6,3,5,4]
[4,3,8,9,6,7,1,2,5]=>[5,2,1,7,6,9,8,3,4]
[2,3,8,5,6,1,4,7,9]=>[9,7,4,1,6,5,8,3,2]
[4,9,1,5,3,7,8,6,2]=>[2,6,8,7,3,5,1,9,4]
[8,3,4,2,6,7,5,1,9]=>[9,1,5,7,6,2,4,3,8]
[4,5,3,6,8,2,1,9,7]=>[7,9,1,2,8,6,3,5,4]
[7,6,1,9,2,3,4,5,8]=>[8,5,4,3,2,9,1,6,7]
[2,4,6,5,3,1,7,8,9]=>[9,8,7,1,3,5,6,4,2]
[3,1,5,4,2,6,7,8,9]=>[9,8,7,6,2,4,5,1,3]
[2,4,6,8,7,5,3,1,9]=>[9,1,3,5,7,8,6,4,2]
[3,1,5,7,6,4,2,8,9]=>[9,8,2,4,6,7,5,1,3]
[4,6,1,2,5,3,7,8,9]=>[9,8,7,3,5,2,1,6,4]
[4,2,1,6,5,3,7,8,9]=>[9,8,7,3,5,6,1,2,4]
[3,1,5,7,9,8,6,4,2]=>[2,4,6,8,9,7,5,1,3]
[4,6,1,2,8,7,5,3,9]=>[9,3,5,7,8,2,1,6,4]
[4,2,1,6,8,7,5,3,9]=>[9,3,5,7,8,6,1,2,4]
[5,3,7,4,1,6,2,8,9]=>[9,8,2,6,1,4,7,3,5]
[5,3,1,2,7,6,4,8,9]=>[9,8,4,6,7,2,1,3,5]
[5,7,9,1,2,3,8,6,4]=>[4,6,8,3,2,1,9,7,5]
[5,3,7,4,1,9,8,6,2]=>[2,6,8,9,1,4,7,3,5]
[5,3,1,2,7,9,8,6,4]=>[4,6,8,9,7,2,1,3,5]
[6,8,2,4,3,1,7,5,9]=>[9,5,7,1,3,4,2,8,6]
[6,4,1,8,5,2,7,3,9]=>[9,3,7,2,5,8,1,4,6]
[6,4,2,1,3,8,7,5,9]=>[9,5,7,8,3,1,2,4,6]
[7,3,9,1,5,6,2,8,4]=>[4,8,2,6,5,1,9,3,7]
[7,5,2,1,9,6,3,8,4]=>[4,8,3,6,9,1,2,5,7]
[7,5,3,1,2,4,9,8,6]=>[6,8,9,4,2,1,3,5,7]
[7,5,8,9,6,4,3,2,1]=>[1,2,3,4,6,9,8,5,7]
[3,7,5,8,9,6,4,2,1]=>[1,2,4,6,9,8,5,7,3]
[7,4,5,8,9,6,3,2,1]=>[1,2,3,6,9,8,5,4,7]
[6,7,4,8,9,5,3,2,1]=>[1,2,3,5,9,8,4,7,6]
[1,3,7,5,8,9,6,4,2]=>[2,4,6,9,8,5,7,3,1]
[7,4,2,5,8,9,6,3,1]=>[1,3,6,9,8,5,2,4,7]
[6,2,7,4,8,9,5,3,1]=>[1,3,5,9,8,4,7,2,6]
[3,6,7,4,8,9,5,2,1]=>[1,2,5,9,8,4,7,6,3]
[5,6,7,3,8,9,4,2,1]=>[1,2,4,9,8,3,7,6,5]
[3,6,1,7,4,8,9,5,2]=>[2,5,9,8,4,7,1,6,3]
[5,6,1,7,3,8,9,4,2]=>[2,4,9,8,3,7,1,6,5]
[3,6,7,2,4,8,9,5,1]=>[1,5,9,8,4,2,7,6,3]
[5,2,6,7,3,8,9,4,1]=>[1,4,9,8,3,7,6,2,5]
[4,5,6,7,2,8,9,3,1]=>[1,3,9,8,2,7,6,5,4]
[5,1,2,6,7,3,8,9,4]=>[4,9,8,3,7,6,2,1,5]
[4,5,1,6,7,2,8,9,3]=>[3,9,8,2,7,6,1,5,4]
[4,9,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,9,4]
[2,1,3,4,9,8,5,6,7]=>[7,6,5,8,9,4,3,1,2]
[2,1,3,4,8,5,6,7,9]=>[9,7,6,5,8,4,3,1,2]
[2,3,4,7,1,5,8,6,9]=>[9,6,8,5,1,7,4,3,2]
[3,4,5,8,2,6,9,1,7]=>[7,1,9,6,2,8,5,4,3]
[4,5,6,1,2,3,8,9,7]=>[7,9,8,3,2,1,6,5,4]
[3,4,5,1,2,8,9,6,7]=>[7,6,9,8,2,1,5,4,3]
[3,4,5,1,2,7,8,6,9]=>[9,6,8,7,2,1,5,4,3]
[3,4,5,1,2,7,6,9,8]=>[8,9,6,7,2,1,5,4,3]
[3,4,5,1,2,7,6,8,9]=>[9,8,6,7,2,1,5,4,3]
[3,4,1,2,7,8,5,6,9]=>[9,6,5,8,7,2,1,4,3]
[3,4,1,2,6,7,5,9,8]=>[8,9,5,7,6,2,1,4,3]
[3,4,1,2,6,7,5,8,9]=>[9,8,5,7,6,2,1,4,3]
[3,4,1,2,6,5,7,8,9]=>[9,8,7,5,6,2,1,4,3]
[3,4,2,1,6,5,8,7,9]=>[9,7,8,5,6,1,2,4,3]
[4,5,3,6,2,1,8,7,9]=>[9,7,8,1,2,6,3,5,4]
[5,6,4,7,3,8,2,1,9]=>[9,1,2,8,3,7,4,6,5]
[3,4,2,5,1,7,6,9,8]=>[8,9,6,7,1,5,2,4,3]
[2,3,6,1,5,4,8,7,9]=>[9,7,8,4,5,1,6,3,2]
[3,4,2,5,8,1,7,6,9]=>[9,6,7,1,8,5,2,4,3]
[4,5,3,6,2,7,9,1,8]=>[8,1,9,7,2,6,3,5,4]
[3,4,2,5,1,8,7,9,6]=>[6,9,7,8,1,5,2,4,3]
[2,5,4,3,6,7,8,9,1]=>[1,9,8,7,6,3,4,5,2]
[4,3,5,2,6,7,8,9,1]=>[1,9,8,7,6,2,5,3,4]
[7,9,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,9,7]
[7,6,5,4,3,8,1,9,2]=>[2,9,1,8,3,4,5,6,7]
[8,7,6,5,3,2,4,1,9]=>[9,1,4,2,3,5,6,7,8]
[8,7,6,3,5,4,1,9,2]=>[2,9,1,4,5,3,6,7,8]
[6,8,9,2,5,1,4,3,7]=>[7,3,4,1,5,2,9,8,6]
[2,8,7,6,4,1,5,9,3]=>[3,9,5,1,4,6,7,8,2]
[7,9,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,9,7]
[8,7,4,6,5,9,1,3,2]=>[2,3,1,9,5,6,4,7,8]
[6,8,3,5,2,1,4,7,9]=>[9,7,4,1,2,5,3,8,6]
[2,8,9,5,7,1,4,3,6]=>[6,3,4,1,7,5,9,8,2]
[2,8,7,5,6,1,9,4,3]=>[3,4,9,1,6,5,7,8,2]
[3,9,8,6,2,5,4,1,7]=>[7,1,4,5,2,6,8,9,3]
[2,5,3,4,6,7,8,9,1]=>[1,9,8,7,6,4,3,5,2]
[5,3,2,4,6,7,8,9,1]=>[1,9,8,7,6,4,2,3,5]
[9,2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2,9]
[9,8,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,8,9]
[9,8,7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7,8,9]
[9,8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8,9]
[9,8,5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5,8,9]
[6,9,5,8,2,7,1,3,4]=>[4,3,1,7,2,8,5,9,6]
[7,4,8,3,6,9,1,2,5]=>[5,2,1,9,6,3,8,4,7]
[9,6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6,9]
[9,6,4,7,1,2,3,5,8]=>[8,5,3,2,1,7,4,6,9]
[4,7,2,5,8,1,3,6,9]=>[9,6,3,1,8,5,2,7,4]
[7,9,4,8,1,2,3,5,6]=>[6,5,3,2,1,8,4,9,7]
[7,3,5,8,1,2,4,6,9]=>[9,6,4,2,1,8,5,3,7]
[7,5,8,1,2,3,4,6,9]=>[9,6,4,3,2,1,8,5,7]
[6,2,3,4,5,9,1,8,7]=>[7,8,1,9,5,4,3,2,6]
[5,2,3,4,9,1,7,8,6]=>[6,8,7,1,9,4,3,2,5]
[4,2,3,9,1,6,7,8,5]=>[5,8,7,6,1,9,3,2,4]
[3,2,9,1,5,6,7,8,4]=>[4,8,7,6,5,1,9,2,3]
[8,1,6,7,9,2,3,4,5]=>[5,4,3,2,9,7,6,1,8]
[8,1,5,6,7,9,2,3,4]=>[4,3,2,9,7,6,5,1,8]
[7,1,4,6,8,9,2,3,5]=>[5,3,2,9,8,6,4,1,7]
[6,1,3,7,8,9,2,4,5]=>[5,4,2,9,8,7,3,1,6]
[6,7,2,8,9,1,3,4,5]=>[5,4,3,1,9,8,2,7,6]
[7,8,6,3,9,1,2,4,5]=>[5,4,2,1,9,3,6,8,7]
[8,9,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,9,8]
[6,8,4,5,7,9,3,1,2]=>[2,1,3,9,7,5,4,8,6]
[4,7,3,6,8,9,1,5,2]=>[2,5,1,9,8,6,3,7,4]
[9,8,7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7,8,9]
[8,7,9,6,5,1,4,3,2]=>[2,3,4,1,5,6,9,7,8]
[9,6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6,9]
[9,1,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,1,9]
[1,9,8,4,7,5,6,3,2]=>[2,3,6,5,7,4,8,9,1]
[9,8,7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7,8,9]
[6,9,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,9,6]
[5,9,8,6,7,4,3,1,2]=>[2,1,3,4,7,6,8,9,5]
[8,7,6,9,1,5,4,3,2]=>[2,3,4,5,1,9,6,7,8]
[4,9,8,7,5,6,1,3,2]=>[2,3,1,6,5,7,8,9,4]
[9,1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1,9]
[3,9,8,7,6,4,5,1,2]=>[2,1,5,4,6,7,8,9,3]
[1,9,8,5,6,4,7,3,2]=>[2,3,7,4,6,5,8,9,1]
[9,8,4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4,8,9]
[9,8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8,9]
[4,5,3,9,6,2,7,1,8]=>[8,1,7,2,6,9,3,5,4]
[5,4,9,2,7,1,8,3,6]=>[6,3,8,1,7,2,9,4,5]
[9,3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3,9]
[8,5,3,6,2,7,1,9,4]=>[4,9,1,7,2,6,3,5,8]
[4,8,6,2,7,1,9,5,3]=>[3,5,9,1,7,2,6,8,4]
[4,5,3,8,7,1,9,6,2]=>[2,6,9,1,7,8,3,5,4]
[9,8,4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4,8,9]
[9,8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8,9]
[9,5,4,8,2,7,1,3,6]=>[6,3,1,7,2,8,4,5,9]
[9,8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8,9]
[9,8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8,9]
[6,9,5,8,2,4,1,3,7]=>[7,3,1,4,2,8,5,9,6]
[6,3,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,3,6]
[6,5,9,2,8,1,3,4,7]=>[7,4,3,1,8,2,9,5,6]
[9,4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4,9]
[9,6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6,9]
[4,7,2,6,9,1,3,5,8]=>[8,5,3,1,9,6,2,7,4]
[7,9,2,6,1,3,4,5,8]=>[8,5,4,3,1,6,2,9,7]
[5,2,7,9,1,3,4,6,8]=>[8,6,4,3,1,9,7,2,5]
[7,2,9,1,3,4,5,6,8]=>[8,6,5,4,3,1,9,2,7]
[2,6,8,1,3,4,5,7,9]=>[9,7,5,4,3,1,8,6,2]
[4,9,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,9,4]
[7,9,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,9,7]
[4,1,9,2,3,5,6,7,8]=>[8,7,6,5,3,2,9,1,4]
[9,1,2,5,3,6,7,8,4]=>[4,8,7,6,3,5,2,1,9]
[9,1,4,2,5,6,7,8,3]=>[3,8,7,6,5,2,4,1,9]
[7,5,4,3,9,2,8,1,6]=>[6,1,8,2,9,3,4,5,7]
[7,5,4,3,2,9,1,6,8]=>[8,6,1,9,2,3,4,5,7]
[6,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,6]
[6,4,3,2,8,9,1,5,7]=>[7,5,1,9,8,2,3,4,6]
[6,4,3,2,8,1,5,7,9]=>[9,7,5,1,8,2,3,4,6]
[5,9,3,7,2,6,1,4,8]=>[8,4,1,6,2,7,3,9,5]
[5,3,8,2,6,9,1,4,7]=>[7,4,1,9,6,2,8,3,5]
[5,3,8,2,6,1,4,7,9]=>[9,7,4,1,6,2,8,3,5]
[5,3,2,7,9,1,4,6,8]=>[8,6,4,1,9,7,2,3,5]
[5,3,2,7,1,4,6,8,9]=>[9,8,6,4,1,7,2,3,5]
[4,7,9,2,5,8,1,3,6]=>[6,3,1,8,5,2,9,7,4]
[4,7,2,5,9,1,3,6,8]=>[8,6,3,1,9,5,2,7,4]
[4,7,2,5,1,3,6,8,9]=>[9,8,6,3,1,5,2,7,4]
[4,2,6,8,9,1,3,5,7]=>[7,5,3,1,9,8,6,2,4]
[4,2,6,1,3,5,7,8,9]=>[9,8,7,5,3,1,6,2,4]
[8,6,9,1,2,3,4,5,7]=>[7,5,4,3,2,1,9,6,8]
[7,6,8,1,2,3,4,5,9]=>[9,5,4,3,2,1,8,6,7]
[7,8,6,9,1,2,3,4,5]=>[5,4,3,2,1,9,6,8,7]
[8,5,9,1,2,3,4,6,7]=>[7,6,4,3,2,1,9,5,8]
[9,1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1,9]
[9,1,5,3,2,4,6,7,8]=>[8,7,6,4,2,3,5,1,9]
[7,8,9,1,3,5,2,4,6]=>[6,4,2,5,3,1,9,8,7]
[6,7,8,9,2,5,1,4,3]=>[3,4,1,5,2,9,8,7,6]
[3,4,7,1,2,8,9,5,6]=>[6,5,9,8,2,1,7,4,3]
[4,7,8,1,3,9,2,6,5]=>[5,6,2,9,3,1,8,7,4]
[7,8,9,2,4,3,6,1,5]=>[5,1,6,3,4,2,9,8,7]
[3,4,7,2,5,8,9,6,1]=>[1,6,9,8,5,2,7,4,3]
[5,9,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,9,5]
[4,5,8,3,7,9,6,2,1]=>[1,2,6,9,7,3,8,5,4]
[5,7,9,3,8,4,6,2,1]=>[1,2,6,4,8,3,9,7,5]
[3,6,2,5,8,4,9,7,1]=>[1,7,9,4,8,5,2,6,3]
[8,9,2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2,9,8]
[4,9,2,6,3,8,5,7,1]=>[1,7,5,8,3,6,2,9,4]
[6,9,2,8,4,5,3,7,1]=>[1,7,3,5,4,8,2,9,6]
[9,1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1,9]
[9,1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1,9]
[8,9,4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4,9,8]
[7,8,9,5,4,1,2,3,6]=>[6,3,2,1,4,5,9,8,7]
[7,8,4,5,3,1,2,6,9]=>[9,6,2,1,3,5,4,8,7]
[6,7,8,4,1,2,3,5,9]=>[9,5,3,2,1,4,8,7,6]
[9,7,4,3,1,5,2,6,8]=>[8,6,2,5,1,3,4,7,9]
[6,7,4,3,1,2,5,8,9]=>[9,8,5,2,1,3,4,7,6]
[8,9,3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3,9,8]
[5,6,3,1,2,4,7,8,9]=>[9,8,7,4,2,1,3,6,5]
[5,8,2,6,4,9,1,7,3]=>[3,7,1,9,4,6,2,8,5]
[8,2,5,9,1,6,7,3,4]=>[4,3,7,6,1,9,5,2,8]
[7,3,5,8,2,9,1,6,4]=>[4,6,1,9,2,8,5,3,7]
[5,8,2,7,3,9,1,6,4]=>[4,6,1,9,3,7,2,8,5]
[4,3,7,6,8,2,9,1,5]=>[5,1,9,2,8,6,7,3,4]
[7,3,8,2,4,6,9,1,5]=>[5,1,9,6,4,2,8,3,7]
[4,6,8,2,7,3,9,1,5]=>[5,1,9,3,7,2,8,6,4]
[7,3,8,2,6,4,9,1,5]=>[5,1,9,4,6,2,8,3,7]
[3,7,9,5,1,4,2,8,6]=>[6,8,2,4,1,5,9,7,3]
[8,5,2,3,7,9,1,4,6]=>[6,4,1,9,7,3,2,5,8]
[9,1,4,3,8,5,2,7,6]=>[6,7,2,5,8,3,4,1,9]
[3,5,7,9,1,4,8,2,6]=>[6,2,8,4,1,9,7,5,3]
[7,5,3,9,1,4,8,2,6]=>[6,2,8,4,1,9,3,5,7]
[8,2,5,9,1,4,7,3,6]=>[6,3,7,4,1,9,5,2,8]
[5,6,1,3,2,9,4,8,7]=>[7,8,4,9,2,3,1,6,5]
[9,4,8,5,2,6,1,3,7]=>[7,3,1,6,2,5,8,4,9]
[8,6,4,2,5,9,1,3,7]=>[7,3,1,9,5,2,4,6,8]
[9,1,3,6,2,5,8,4,7]=>[7,4,8,5,2,6,3,1,9]
[8,2,4,6,9,1,3,5,7]=>[7,5,3,1,9,6,4,2,8]
[9,5,1,2,4,7,3,6,8]=>[8,6,3,7,4,2,1,5,9]
[9,3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3,9]
[4,2,5,3,6,1,8,7,9]=>[9,7,8,1,6,3,5,2,4]
[4,2,6,3,7,5,8,1,9]=>[9,1,8,5,7,3,6,2,4]
[4,2,6,3,7,5,1,9,8]=>[8,9,1,5,7,3,6,2,4]
[4,2,5,3,1,7,6,9,8]=>[8,9,6,7,1,3,5,2,4]
[4,2,5,3,7,6,8,1,9]=>[9,1,8,6,7,3,5,2,4]
[4,2,6,3,7,5,1,8,9]=>[9,8,1,5,7,3,6,2,4]
[4,2,5,3,1,8,9,7,6]=>[6,7,9,8,1,3,5,2,4]
[9,7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7,9]
[1,3,4,5,2,7,8,9,6]=>[6,9,8,7,2,5,4,3,1]
[2,1,4,5,3,7,8,9,6]=>[6,9,8,7,3,5,4,1,2]
[1,2,4,5,3,7,8,9,6]=>[6,9,8,7,3,5,4,2,1]
[1,4,6,8,9,7,5,2,3]=>[3,2,5,7,9,8,6,4,1]
[8,7,6,5,3,1,2,4,9]=>[9,4,2,1,3,5,6,7,8]
[4,3,5,2,6,1,8,9,7]=>[7,9,8,1,6,2,5,3,4]
[3,4,2,5,1,7,8,6,9]=>[9,6,8,7,1,5,2,4,3]
[3,4,2,5,1,7,6,8,9]=>[9,8,6,7,1,5,2,4,3]
[3,2,4,1,7,6,8,5,9]=>[9,5,8,6,7,1,4,2,3]
[3,2,4,1,6,7,5,9,8]=>[8,9,5,7,6,1,4,2,3]
[3,2,4,1,6,7,5,8,9]=>[9,8,5,7,6,1,4,2,3]
[3,2,4,1,6,5,7,8,9]=>[9,8,7,5,6,1,4,2,3]
[3,1,7,2,4,5,6,8,9]=>[9,8,6,5,4,2,7,1,3]
[3,1,2,4,7,5,9,6,8]=>[8,6,9,5,7,4,2,1,3]
[3,1,7,2,9,4,5,6,8]=>[8,6,5,4,9,2,7,1,3]
[3,1,2,5,6,4,7,8,9]=>[9,8,7,4,6,5,2,1,3]
[3,1,2,5,6,4,9,7,8]=>[8,7,9,4,6,5,2,1,3]
[3,1,5,2,4,6,9,7,8]=>[8,7,9,6,4,2,5,1,3]
[3,1,2,5,7,4,8,6,9]=>[9,6,8,4,7,5,2,1,3]
[3,1,5,2,4,7,8,6,9]=>[9,6,8,7,4,2,5,1,3]
[9,7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7,9]
[9,7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7,9]
[8,9,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,9,8]
[8,7,9,2,3,4,5,6,1]=>[1,6,5,4,3,2,9,7,8]
[8,7,2,3,4,5,6,9,1]=>[1,9,6,5,4,3,2,7,8]
[9,2,5,6,7,8,1,4,3]=>[3,4,1,8,7,6,5,2,9]
[7,3,4,5,6,8,9,2,1]=>[1,2,9,8,6,5,4,3,7]
[7,6,8,9,2,3,4,5,1]=>[1,5,4,3,2,9,8,6,7]
[9,8,2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2,8,9]
[7,6,2,3,4,5,8,9,1]=>[1,9,8,5,4,3,2,6,7]
[9,1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1,9]
[3,1,2,4,5,9,6,7,8]=>[8,7,6,9,5,4,2,1,3]
[7,9,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,9,7]
[8,6,9,2,1,3,4,5,7]=>[7,5,4,3,1,2,9,6,8]
[7,1,8,5,9,2,3,4,6]=>[6,4,3,2,9,5,8,1,7]
[1,6,7,8,4,9,2,3,5]=>[5,3,2,9,4,8,7,6,1]
[5,6,7,8,1,3,9,2,4]=>[4,2,9,3,1,8,7,6,5]
[7,2,3,4,5,9,8,1,6]=>[6,1,8,9,5,4,3,2,7]
[6,2,3,4,9,7,1,8,5]=>[5,8,1,7,9,4,3,2,6]
[9,2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2,9]
[4,2,9,5,1,6,7,8,3]=>[3,8,7,6,1,5,9,2,4]
[3,9,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,9,3]
[6,2,3,4,9,8,7,5,1]=>[1,5,7,8,9,4,3,2,6]
[9,2,3,7,4,6,1,8,5]=>[5,8,1,6,4,7,3,2,9]
[7,2,3,4,1,9,8,5,6]=>[6,5,8,9,1,4,3,2,7]
[4,2,9,6,5,3,7,8,1]=>[1,8,7,3,5,6,9,2,4]
[6,2,3,1,9,7,4,8,5]=>[5,8,4,7,9,1,3,2,6]
[3,9,5,4,2,6,7,8,1]=>[1,8,7,6,2,4,5,9,3]
[9,2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2,9]
[4,1,9,5,2,6,7,8,3]=>[3,8,7,6,2,5,9,1,4]
[2,9,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,9,2]
[8,2,9,7,5,4,3,1,6]=>[6,1,3,4,5,7,9,2,8]
[8,7,2,9,6,4,3,1,5]=>[5,1,3,4,6,9,2,7,8]
[8,7,6,2,9,5,3,1,4]=>[4,1,3,5,9,2,6,7,8]
[2,3,4,7,9,6,8,1,5]=>[5,1,8,6,9,7,4,3,2]
[2,3,6,9,5,8,7,1,4]=>[4,1,7,8,5,9,6,3,2]
[2,3,8,4,6,7,9,1,5]=>[5,1,9,7,6,4,8,3,2]
[5,8,4,3,6,7,1,9,2]=>[2,9,1,7,6,3,4,8,5]
[2,5,9,4,8,6,7,1,3]=>[3,1,7,6,8,4,9,5,2]
[5,8,3,6,7,4,9,2,1]=>[1,2,9,4,7,6,3,8,5]
[2,8,3,5,9,6,7,1,4]=>[4,1,7,6,9,5,3,8,2]
[6,9,3,7,5,8,4,1,2]=>[2,1,4,8,5,7,3,9,6]
[4,9,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,9,4]
[4,5,6,9,1,2,7,3,8]=>[8,3,7,2,1,9,6,5,4]
[4,6,8,1,5,2,9,7,3]=>[3,7,9,2,5,1,8,6,4]
[4,5,8,1,2,6,3,7,9]=>[9,7,3,6,2,1,8,5,4]
[5,8,4,1,7,2,9,6,3]=>[3,6,9,2,7,1,4,8,5]
[3,5,7,4,1,8,6,2,9]=>[9,2,6,8,1,4,7,5,3]
[3,4,9,1,5,7,6,2,8]=>[8,2,6,7,5,1,9,4,3]
[3,4,7,1,5,2,6,8,9]=>[9,8,6,2,5,1,7,4,3]
[4,3,7,6,1,8,5,2,9]=>[9,2,5,8,1,6,7,3,4]
[4,7,3,1,9,6,5,2,8]=>[8,2,5,6,9,1,3,7,4]
[4,6,3,1,7,5,2,8,9]=>[9,8,2,5,7,1,3,6,4]
[3,8,1,4,6,5,2,7,9]=>[9,7,2,5,6,4,1,8,3]
[3,6,1,4,2,5,7,8,9]=>[9,8,7,5,2,4,1,6,3]
[6,5,3,1,9,8,4,7,2]=>[2,7,4,8,9,1,3,5,6]
[6,3,1,8,5,4,2,7,9]=>[9,7,2,4,5,8,1,3,6]
[2,9,3,7,5,4,6,1,8]=>[8,1,6,4,5,7,3,9,2]
[2,7,3,5,4,1,6,8,9]=>[9,8,6,1,4,5,3,7,2]
[8,2,6,4,3,5,1,7,9]=>[9,7,1,5,3,4,6,2,8]
[6,2,4,3,1,5,7,8,9]=>[9,8,7,5,1,3,4,2,6]
[6,4,2,9,8,7,5,3,1]=>[1,3,5,7,8,9,2,4,6]
[4,2,9,8,7,6,3,1,5]=>[5,1,3,6,7,8,9,2,4]
[5,3,1,9,8,7,4,2,6]=>[6,2,4,7,8,9,1,3,5]
[6,4,2,9,8,5,3,1,7]=>[7,1,3,5,8,9,2,4,6]
[9,6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6,9]
[5,2,4,9,8,7,6,3,1]=>[1,3,6,7,8,9,4,2,5]
[6,3,1,5,9,8,7,4,2]=>[2,4,7,8,9,5,1,3,6]
[7,4,2,6,9,8,5,3,1]=>[1,3,5,8,9,6,2,4,7]
[4,2,9,8,7,3,1,5,6]=>[6,5,1,3,7,8,9,2,4]
[9,6,4,2,7,8,5,3,1]=>[1,3,5,8,7,2,4,6,9]
[5,3,1,9,8,4,2,6,7]=>[7,6,2,4,8,9,1,3,5]
[6,4,2,9,5,3,1,7,8]=>[8,7,1,3,5,9,2,4,6]
[4,3,2,1,9,8,6,7,5]=>[5,7,6,8,9,1,2,3,4]
[8,7,6,3,2,4,1,5,9]=>[9,5,1,4,2,3,6,7,8]
[8,7,4,3,5,2,1,6,9]=>[9,6,1,2,5,3,4,7,8]
[8,7,6,2,3,4,1,5,9]=>[9,5,1,4,3,2,6,7,8]
[8,5,4,6,3,2,1,7,9]=>[9,7,1,2,3,6,4,5,8]
[8,7,3,4,5,2,1,6,9]=>[9,6,1,2,5,4,3,7,8]
[6,5,7,4,3,2,1,8,9]=>[9,8,1,2,3,4,7,5,6]
[8,4,5,6,3,2,1,7,9]=>[9,7,1,2,3,6,5,4,8]
[5,6,7,4,3,2,1,8,9]=>[9,8,1,2,3,4,7,6,5]
[5,8,4,7,3,9,2,6,1]=>[1,6,2,9,3,7,4,8,5]
[7,4,6,3,8,2,9,5,1]=>[1,5,9,2,8,3,6,4,7]
[5,6,7,3,8,2,9,4,1]=>[1,4,9,2,8,3,7,6,5]
[6,4,7,5,8,2,9,3,1]=>[1,3,9,2,8,5,7,4,6]
[6,5,7,3,8,4,9,2,1]=>[1,2,9,4,8,3,7,5,6]
[1,6,5,7,4,8,2,9,3]=>[3,9,2,8,4,7,5,6,1]
[4,7,5,9,2,6,3,8,1]=>[1,8,3,6,2,9,5,7,4]
[4,7,2,9,5,6,3,8,1]=>[1,8,3,6,5,9,2,7,4]
[4,7,3,9,5,6,1,8,2]=>[2,8,1,6,5,9,3,7,4]
[7,5,3,9,4,6,1,8,2]=>[2,8,1,6,4,9,3,5,7]
[6,5,3,9,4,7,1,8,2]=>[2,8,1,7,4,9,3,5,6]
[7,5,9,4,2,6,3,8,1]=>[1,8,3,6,2,4,9,5,7]
[4,7,2,5,9,6,3,8,1]=>[1,8,3,6,9,5,2,7,4]
[4,7,2,9,1,6,5,8,3]=>[3,8,5,6,1,9,2,7,4]
[4,7,3,9,5,6,2,8,1]=>[1,8,2,6,5,9,3,7,4]
[7,5,2,9,4,6,1,8,3]=>[3,8,1,6,4,9,2,5,7]
[4,6,3,9,5,7,1,8,2]=>[2,8,1,7,5,9,3,6,4]
[7,5,3,8,4,6,1,9,2]=>[2,9,1,6,4,8,3,5,7]
[5,4,6,2,7,1,8,3,9]=>[9,3,8,1,7,2,6,4,5]
[5,4,6,1,7,3,8,2,9]=>[9,2,8,3,7,1,6,4,5]
[1,6,5,7,3,8,2,9,4]=>[4,9,2,8,3,7,5,6,1]
[1,8,3,9,2,6,5,4,7]=>[7,4,5,6,2,9,3,8,1]
[1,8,3,9,2,6,5,7,4]=>[4,7,5,6,2,9,3,8,1]
[1,8,3,9,2,6,4,5,7]=>[7,5,4,6,2,9,3,8,1]
[1,8,2,7,4,5,6,3,9]=>[9,3,6,5,4,7,2,8,1]
[1,8,3,4,9,2,6,5,7]=>[7,5,6,2,9,4,3,8,1]
[1,8,3,9,2,6,7,5,4]=>[4,5,7,6,2,9,3,8,1]
[1,8,5,7,2,6,3,9,4]=>[4,9,3,6,2,7,5,8,1]
[1,8,2,7,5,6,3,9,4]=>[4,9,3,6,5,7,2,8,1]
[1,9,2,6,3,8,4,5,7]=>[7,5,4,8,3,6,2,9,1]
[6,4,2,1,3,8,5,7,9]=>[9,7,5,8,3,1,2,4,6]
[1,8,3,6,2,7,4,5,9]=>[9,5,4,7,2,6,3,8,1]
[7,6,5,4,9,2,8,1,3]=>[3,1,8,2,9,4,5,6,7]
[6,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,6]
[7,6,5,8,2,4,1,3,9]=>[9,3,1,4,2,8,5,6,7]
[7,6,5,3,8,9,1,2,4]=>[4,2,1,9,8,3,5,6,7]
[6,8,3,7,2,5,1,4,9]=>[9,4,1,5,2,7,3,8,6]
[7,6,8,3,4,9,1,2,5]=>[5,2,1,9,4,3,8,6,7]
[6,3,8,2,7,1,4,5,9]=>[9,5,4,1,7,2,8,3,6]
[7,6,4,8,9,1,2,3,5]=>[5,3,2,1,9,8,4,6,7]
[3,8,2,7,1,4,5,6,9]=>[9,6,5,4,1,7,2,8,3]
[7,3,5,8,9,1,2,4,6]=>[6,4,2,1,9,8,5,3,7]
[7,5,8,9,1,2,3,4,6]=>[6,4,3,2,1,9,8,5,7]
[4,6,8,9,1,2,3,5,7]=>[7,5,3,2,1,9,8,6,4]
[9,1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1,9]
[9,7,1,2,3,5,8,4,6]=>[6,4,8,5,3,2,1,7,9]
[6,9,1,2,4,7,3,5,8]=>[8,5,3,7,4,2,1,9,6]
[6,1,2,3,5,8,9,4,7]=>[7,4,9,8,5,3,2,1,6]
[4,8,9,1,2,5,7,3,6]=>[6,3,7,5,2,1,9,8,4]
[8,6,1,2,3,7,5,9,4]=>[4,9,5,7,3,2,1,6,8]
[5,6,9,1,3,7,2,4,8]=>[8,4,2,7,3,1,9,6,5]
[9,7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7,9]
[5,1,2,4,8,3,9,6,7]=>[7,6,9,3,8,4,2,1,5]
[3,8,6,9,1,4,7,2,5]=>[5,2,7,4,1,9,6,8,3]
[9,7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7,9]
[7,6,1,2,4,8,3,9,5]=>[5,9,3,8,4,2,1,6,7]
[3,1,4,5,2,6,7,8,9]=>[9,8,7,6,2,5,4,1,3]
[4,1,5,2,6,7,3,8,9]=>[9,8,3,7,6,2,5,1,4]
[5,1,6,2,7,3,8,9,4]=>[4,9,8,3,7,2,6,1,5]
[5,6,2,1,7,3,8,4,9]=>[9,4,8,3,7,1,2,6,5]
[5,3,1,6,4,7,2,8,9]=>[9,8,2,7,4,6,1,3,5]
[5,3,6,2,7,4,1,8,9]=>[9,8,1,4,7,2,6,3,5]
[6,7,2,1,8,9,3,4,5]=>[5,4,3,9,8,1,2,7,6]
[6,3,7,8,1,4,9,5,2]=>[2,5,9,4,1,8,7,3,6]
[6,3,7,2,1,8,4,9,5]=>[5,9,4,8,1,2,7,3,6]
[6,7,4,5,2,8,3,1,9]=>[9,1,3,8,2,5,4,7,6]
[6,4,3,7,2,8,5,1,9]=>[9,1,5,8,2,7,3,4,6]
[7,8,4,9,5,2,6,3,1]=>[1,3,6,2,5,9,4,8,7]
[7,4,3,8,2,1,9,5,6]=>[6,5,9,1,2,8,3,4,7]
[7,5,3,1,8,6,4,9,2]=>[2,9,4,6,8,1,3,5,7]
[7,5,8,3,6,2,9,4,1]=>[1,4,9,2,6,3,8,5,7]
[7,5,4,3,8,2,9,6,1]=>[1,6,9,2,8,3,4,5,7]
[9,1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1,9]
[9,1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1,9]
[9,1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1,9]
[9,1,3,5,2,4,6,7,8]=>[8,7,6,4,2,5,3,1,9]
[9,8,7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7,8,9]
[4,9,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,9,4]
[6,1,2,9,3,7,4,5,8]=>[8,5,4,7,3,9,2,1,6]
[7,1,2,3,9,4,8,5,6]=>[6,5,8,4,9,3,2,1,7]
[1,2,3,9,4,6,5,7,8]=>[8,7,5,6,4,9,3,2,1]
[6,2,3,4,7,5,8,9,1]=>[1,9,8,5,7,4,3,2,6]
[9,8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8,9]
[9,8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8,9]
[4,5,2,6,7,8,9,1,3]=>[3,1,9,8,7,6,2,5,4]
[5,2,1,6,7,8,9,4,3]=>[3,4,9,8,7,6,1,2,5]
[4,6,2,1,7,8,9,5,3]=>[3,5,9,8,7,1,2,6,4]
[4,5,7,1,2,8,9,6,3]=>[3,6,9,8,2,1,7,5,4]
[4,5,6,8,2,1,9,7,3]=>[3,7,9,1,2,8,6,5,4]
[5,6,2,4,7,8,9,1,3]=>[3,1,9,8,7,4,2,6,5]
[4,6,7,1,5,8,9,2,3]=>[3,2,9,8,5,1,7,6,4]
[6,2,1,4,7,8,9,5,3]=>[3,5,9,8,7,4,1,2,6]
[4,7,2,1,5,8,9,6,3]=>[3,6,9,8,5,1,2,7,4]
[4,5,6,8,9,2,7,1,3]=>[3,1,7,2,9,8,6,5,4]
[4,5,8,1,2,6,9,7,3]=>[3,7,9,6,2,1,8,5,4]
[4,5,6,9,2,1,7,8,3]=>[3,8,7,1,2,9,6,5,4]
[9,6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6,9]
[9,8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8,9]
[9,6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6,9]
[9,8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8,9]
[9,8,7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7,8,9]
[9,6,3,4,5,7,2,1,8]=>[8,1,2,7,5,4,3,6,9]
[9,8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8,9]
[9,6,5,3,4,7,2,1,8]=>[8,1,2,7,4,3,5,6,9]
[9,8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8,9]
[9,8,7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7,8,9]
[9,6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6,9]
[9,8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8,9]
[5,6,7,9,1,3,4,8,2]=>[2,8,4,3,1,9,7,6,5]
[8,2,3,4,5,9,6,1,7]=>[7,1,6,9,5,4,3,2,8]
[7,2,3,4,9,5,1,8,6]=>[6,8,1,5,9,4,3,2,7]
[6,2,3,5,9,1,7,8,4]=>[4,8,7,1,9,5,3,2,6]
[5,2,9,3,1,6,7,8,4]=>[4,8,7,6,1,3,9,2,5]
[4,9,2,1,5,6,7,8,3]=>[3,8,7,6,5,1,2,9,4]
[9,2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2,9]
[5,2,3,7,9,6,4,8,1]=>[1,8,4,6,9,7,3,2,5]
[5,2,3,4,8,9,6,1,7]=>[7,1,6,9,8,4,3,2,5]
[9,2,6,1,5,3,7,8,4]=>[4,8,7,3,5,1,6,2,9]
[4,2,3,7,9,5,1,8,6]=>[6,8,1,5,9,7,3,2,4]
[9,5,1,4,2,6,7,8,3]=>[3,8,7,6,2,4,1,5,9]
[3,2,6,5,9,1,7,8,4]=>[4,8,7,1,9,5,6,2,3]
[2,5,9,3,1,6,7,8,4]=>[4,8,7,6,1,3,9,5,2]
[5,7,1,9,2,3,4,6,8]=>[8,6,4,3,2,9,1,7,5]
[3,6,1,2,9,4,5,7,8]=>[8,7,5,4,9,2,1,6,3]
[2,9,3,8,4,7,6,5,1]=>[1,5,6,7,4,8,3,9,2]
[3,5,2,7,9,8,6,4,1]=>[1,4,6,8,9,7,2,5,3]
[3,5,7,9,4,8,6,2,1]=>[1,2,6,8,4,9,7,5,3]
[5,1,7,9,4,8,6,3,2]=>[2,3,6,8,4,9,7,1,5]
[4,1,7,3,9,8,6,5,2]=>[2,5,6,8,9,3,7,1,4]
[3,5,4,7,9,8,6,2,1]=>[1,2,6,8,9,7,4,5,3]
[2,5,7,9,4,8,6,1,3]=>[3,1,6,8,4,9,7,5,2]
[2,5,7,9,4,8,6,3,1]=>[1,3,6,8,4,9,7,5,2]
[4,7,2,1,9,8,6,5,3]=>[3,5,6,8,9,1,2,7,4]
[5,1,6,9,4,3,8,7,2]=>[2,7,8,3,4,9,6,1,5]
[4,1,7,3,8,9,6,5,2]=>[2,5,6,9,8,3,7,1,4]
[9,1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1,9]
[3,5,1,7,2,4,6,9,8]=>[8,9,6,4,2,7,1,5,3]
[3,5,1,8,2,9,6,4,7]=>[7,4,6,9,2,8,1,5,3]
[3,5,1,2,4,9,7,6,8]=>[8,6,7,9,4,2,1,5,3]
[1,2,5,3,4,6,7,9,8]=>[8,9,7,6,4,3,5,2,1]
[1,3,4,2,5,6,7,9,8]=>[8,9,7,6,5,2,4,3,1]
[4,1,5,3,2,6,7,9,8]=>[8,9,7,6,2,3,5,1,4]
[2,5,1,6,4,3,7,9,8]=>[8,9,7,3,4,6,1,5,2]
[2,3,6,1,5,7,4,9,8]=>[8,9,4,7,5,1,6,3,2]
[2,3,4,7,1,8,6,9,5]=>[5,9,6,8,1,7,4,3,2]
[4,1,6,2,3,5,7,9,8]=>[8,9,7,5,3,2,6,1,4]
[1,3,4,5,2,6,7,9,8]=>[8,9,7,6,2,5,4,3,1]
[2,3,1,7,5,4,6,9,8]=>[8,9,6,4,5,7,1,3,2]
[4,1,5,3,6,2,7,9,8]=>[8,9,7,2,6,3,5,1,4]
[2,3,6,1,8,4,5,9,7]=>[7,9,5,4,8,1,6,3,2]
[2,5,1,6,4,7,3,9,8]=>[8,9,3,7,4,6,1,5,2]
[2,3,4,7,1,9,5,8,6]=>[6,8,5,9,1,7,4,3,2]
[2,3,6,1,5,7,8,9,4]=>[4,9,8,7,5,1,6,3,2]
[2,3,4,7,9,5,1,6,8]=>[8,6,1,5,9,7,4,3,2]
[5,9,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,9,5]
[3,4,1,5,7,8,9,2,6]=>[6,2,9,8,7,5,1,4,3]
[3,4,5,1,6,8,9,2,7]=>[7,2,9,8,6,1,5,4,3]
[9,7,1,2,8,3,6,4,5]=>[5,4,6,3,8,2,1,7,9]
[9,7,1,6,2,5,3,4,8]=>[8,4,3,5,2,6,1,7,9]
[9,7,1,6,2,8,3,5,4]=>[4,5,3,8,2,6,1,7,9]
[9,7,1,8,2,6,3,5,4]=>[4,5,3,6,2,8,1,7,9]
[9,7,1,6,4,2,3,5,8]=>[8,5,3,2,4,6,1,7,9]
[9,7,1,6,2,5,4,3,8]=>[8,3,4,5,2,6,1,7,9]
[9,7,1,6,2,8,3,4,5]=>[5,4,3,8,2,6,1,7,9]
[9,7,1,8,2,5,3,6,4]=>[4,6,3,5,2,8,1,7,9]
[9,8,1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1,8,9]
[2,4,5,7,8,9,1,3,6]=>[6,3,1,9,8,7,5,4,2]
[2,4,6,7,9,1,3,5,8]=>[8,5,3,1,9,7,6,4,2]
[2,4,6,8,1,3,5,9,7]=>[7,9,5,3,1,8,6,4,2]
[2,4,6,1,3,8,5,7,9]=>[9,7,5,8,3,1,6,4,2]
[3,9,8,2,1,7,6,5,4]=>[4,5,6,7,1,2,8,9,3]
[5,6,7,8,9,3,1,4,2]=>[2,4,1,3,9,8,7,6,5]
[6,7,8,1,9,4,2,5,3]=>[3,5,2,4,9,1,8,7,6]
[6,7,8,9,2,1,5,4,3]=>[3,4,5,1,2,9,8,7,6]
[4,8,7,1,9,3,2,6,5]=>[5,6,2,3,9,1,7,8,4]
[4,6,8,7,1,9,5,3,2]=>[2,3,5,9,1,7,8,6,4]
[6,7,8,2,1,9,5,4,3]=>[3,4,5,9,1,2,8,7,6]
[7,4,8,5,1,9,6,3,2]=>[2,3,6,9,1,5,8,4,7]
[5,8,7,2,1,9,6,4,3]=>[3,4,6,9,1,2,7,8,5]
[4,7,5,9,8,3,6,2,1]=>[1,2,6,3,8,9,5,7,4]
[3,5,7,9,8,4,6,2,1]=>[1,2,6,4,8,9,7,5,3]
[5,7,9,8,4,3,6,2,1]=>[1,2,6,3,4,8,9,7,5]
[5,3,8,9,6,4,2,7,1]=>[1,7,2,4,6,9,8,3,5]
[8,5,9,6,4,3,2,7,1]=>[1,7,2,3,4,6,9,5,8]
[2,4,9,6,8,5,3,7,1]=>[1,7,3,5,8,6,9,4,2]
[4,9,8,6,3,5,2,7,1]=>[1,7,2,5,3,6,8,9,4]
[6,9,8,3,4,5,2,7,1]=>[1,7,2,5,4,3,8,9,6]
[9,7,3,5,4,2,6,1,8]=>[8,1,6,2,4,5,3,7,9]
[9,7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7,9]
[9,7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7,9]
[5,6,3,7,2,4,8,1,9]=>[9,1,8,4,2,7,3,6,5]
[5,6,3,7,2,8,1,4,9]=>[9,4,1,8,2,7,3,6,5]
[5,6,3,2,7,8,4,9,1]=>[1,9,4,8,7,2,3,6,5]
[5,3,6,7,4,8,2,9,1]=>[1,9,2,8,4,7,6,3,5]
[4,6,5,7,3,8,2,9,1]=>[1,9,2,8,3,7,5,6,4]
[5,6,7,2,3,4,8,1,9]=>[9,1,8,4,3,2,7,6,5]
[5,6,3,7,8,1,2,4,9]=>[9,4,2,1,8,7,3,6,5]
[5,6,3,7,2,1,9,4,8]=>[8,4,9,1,2,7,3,6,5]
[4,5,2,1,6,7,3,8,9]=>[9,8,3,7,6,1,2,5,4]
[4,2,5,6,3,1,8,9,7]=>[7,9,8,1,3,6,5,2,4]
[3,5,4,2,7,8,6,9,1]=>[1,9,6,8,7,2,4,5,3]
[4,3,6,7,5,8,2,9,1]=>[1,9,2,8,5,7,6,3,4]
[3,2,1,9,5,6,7,8,4]=>[4,8,7,6,5,9,1,2,3]
[7,2,9,1,6,5,4,3,8]=>[8,3,4,5,6,1,9,2,7]
[8,3,9,1,2,7,6,5,4]=>[4,5,6,7,2,1,9,3,8]
[4,9,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,9,4]
[5,9,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,9,5]
[2,3,1,9,5,6,7,8,4]=>[4,8,7,6,5,9,1,3,2]
[2,4,3,1,9,6,7,8,5]=>[5,8,7,6,9,1,3,4,2]
[2,5,3,4,1,9,7,8,6]=>[6,8,7,9,1,4,3,5,2]
[2,6,3,4,5,1,9,8,7]=>[7,8,9,1,5,4,3,6,2]
[2,7,3,4,5,6,1,9,8]=>[8,9,1,6,5,4,3,7,2]
[3,4,6,2,7,8,9,1,5]=>[5,1,9,8,7,2,6,4,3]
[7,6,5,4,9,3,2,8,1]=>[1,8,2,3,9,4,5,6,7]
[1,6,7,8,9,2,5,3,4]=>[4,3,5,2,9,8,7,6,1]
[1,6,7,8,9,5,2,3,4]=>[4,3,2,5,9,8,7,6,1]
[6,2,7,8,4,9,1,3,5]=>[5,3,1,9,4,8,7,2,6]
[1,6,7,3,8,9,2,4,5]=>[5,4,2,9,8,3,7,6,1]
[7,3,6,8,9,1,4,5,2]=>[2,5,4,1,9,8,6,3,7]
[8,4,6,7,9,5,3,1,2]=>[2,1,3,5,9,7,6,4,8]
[9,5,7,8,4,3,1,2,6]=>[6,2,1,3,4,8,7,5,9]
[9,6,7,2,4,8,1,3,5]=>[5,3,1,8,4,2,7,6,9]
[8,6,2,3,7,9,1,4,5]=>[5,4,1,9,7,3,2,6,8]
[7,1,2,6,8,9,3,4,5]=>[5,4,3,9,8,6,2,1,7]
[1,6,7,8,9,4,5,2,3]=>[3,2,5,4,9,8,7,6,1]
[1,7,8,9,2,5,3,4,6]=>[6,4,3,5,2,9,8,7,1]
[8,4,6,7,9,2,3,5,1]=>[1,5,3,2,9,7,6,4,8]
[5,2,7,8,4,9,1,3,6]=>[6,3,1,9,4,8,7,2,5]
[9,5,7,8,1,4,6,2,3]=>[3,2,6,4,1,8,7,5,9]
[1,6,9,3,7,8,2,4,5]=>[5,4,2,8,7,3,9,6,1]
[7,5,6,8,4,3,9,1,2]=>[2,1,9,3,4,8,6,5,7]
[1,8,2,6,7,9,3,4,5]=>[5,4,3,9,7,6,2,8,1]
[8,6,9,2,4,7,1,3,5]=>[5,3,1,7,4,2,9,6,8]
[7,8,2,3,6,9,1,4,5]=>[5,4,1,9,6,3,2,8,7]
[9,3,6,8,2,5,7,1,4]=>[4,1,7,5,2,8,6,3,9]
[3,9,7,5,2,8,6,4,1]=>[1,4,6,8,2,5,7,9,3]
[9,6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6,9]
[9,6,2,4,8,5,1,3,7]=>[7,3,1,5,8,4,2,6,9]
[4,9,6,2,7,3,8,5,1]=>[1,5,8,3,7,2,6,9,4]
[9,5,2,7,3,8,4,1,6]=>[6,1,4,8,3,7,2,5,9]
[9,2,4,6,7,8,1,3,5]=>[5,3,1,8,7,6,4,2,9]
[9,4,2,6,7,8,3,1,5]=>[5,1,3,8,7,6,2,4,9]
[9,5,3,7,1,8,4,2,6]=>[6,2,4,8,1,7,3,5,9]
[9,7,5,1,2,3,8,6,4]=>[4,6,8,3,2,1,5,7,9]
[9,5,7,1,2,3,8,4,6]=>[6,4,8,3,2,1,7,5,9]
[7,9,2,5,4,3,6,8,1]=>[1,8,6,3,4,5,2,9,7]
[9,2,4,7,6,5,8,1,3]=>[3,1,8,5,6,7,4,2,9]
[9,5,7,3,2,1,8,4,6]=>[6,4,8,1,2,3,7,5,9]
[9,5,7,3,1,2,8,4,6]=>[6,4,8,2,1,3,7,5,9]
[9,7,5,2,3,4,1,8,6]=>[6,8,1,4,3,2,5,7,9]
[9,7,5,3,1,4,2,8,6]=>[6,8,2,4,1,3,5,7,9]
[2,3,4,8,6,7,5,1,9]=>[9,1,5,7,6,8,4,3,2]
[2,3,9,5,6,7,4,1,8]=>[8,1,4,7,6,5,9,3,2]
[2,8,4,5,6,7,3,1,9]=>[9,1,3,7,6,5,4,8,2]
[2,3,4,5,8,6,1,9,7]=>[7,9,1,6,8,5,4,3,2]
[2,3,4,9,7,1,5,8,6]=>[6,8,5,1,7,9,4,3,2]
[2,3,9,6,1,7,4,8,5]=>[5,8,4,7,1,6,9,3,2]
[9,4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4,9]
[2,3,4,7,6,5,8,1,9]=>[9,1,8,5,6,7,4,3,2]
[2,3,6,5,8,7,1,4,9]=>[9,4,1,7,8,5,6,3,2]
[2,3,4,7,5,1,8,9,6]=>[6,9,8,1,5,7,4,3,2]
[2,5,4,9,6,7,1,3,8]=>[8,3,1,7,6,9,4,5,2]
[2,3,6,9,1,7,5,8,4]=>[4,8,5,7,1,9,6,3,2]
[4,3,8,5,6,7,1,2,9]=>[9,2,1,7,6,5,8,3,4]
[2,5,9,1,6,7,4,8,3]=>[3,8,4,7,6,1,9,5,2]
[4,8,1,5,6,7,3,9,2]=>[2,9,3,7,6,5,1,8,4]
[4,3,5,6,7,9,2,8,1]=>[1,8,2,9,7,6,5,3,4]
[7,5,8,6,9,1,2,3,4]=>[4,3,2,1,9,6,8,5,7]
[8,5,6,9,7,1,2,3,4]=>[4,3,2,1,7,9,6,5,8]
[8,5,6,7,1,9,2,3,4]=>[4,3,2,9,1,7,6,5,8]
[8,4,6,7,9,2,1,3,5]=>[5,3,1,2,9,7,6,4,8]
[7,3,6,8,9,1,4,2,5]=>[5,2,4,1,9,8,6,3,7]
[1,2,4,3,5,6,9,7,8]=>[8,7,9,6,5,3,4,2,1]
[4,3,1,2,5,6,9,7,8]=>[8,7,9,6,5,2,1,3,4]
[5,1,4,2,3,6,9,7,8]=>[8,7,9,6,3,2,4,1,5]
[8,1,2,3,4,7,9,5,6]=>[6,5,9,7,4,3,2,1,8]
[1,3,4,2,5,6,9,7,8]=>[8,7,9,6,5,2,4,3,1]
[1,4,5,2,3,9,6,7,8]=>[8,7,6,9,3,2,5,4,1]
[1,5,2,3,6,9,4,7,8]=>[8,7,4,9,6,3,2,5,1]
[4,3,5,1,2,6,7,9,8]=>[8,9,7,6,2,1,5,3,4]
[1,6,2,3,7,9,4,5,8]=>[8,5,4,9,7,3,2,6,1]
[5,1,4,6,2,3,7,9,8]=>[8,9,7,3,2,6,4,1,5]
[1,7,2,3,4,9,8,5,6]=>[6,5,8,9,4,3,2,7,1]
[5,1,2,6,7,3,4,9,8]=>[8,9,4,3,7,6,2,1,5]
[7,1,2,3,6,8,4,9,5]=>[5,9,4,8,6,3,2,1,7]
[9,1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1,9]
[9,2,6,3,7,4,8,1,5]=>[5,1,8,4,7,3,6,2,9]
[9,1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1,9]
[9,2,7,5,3,8,1,6,4]=>[4,6,1,8,3,5,7,2,9]
[9,2,8,1,7,4,5,6,3]=>[3,6,5,4,7,1,8,2,9]
[5,6,4,9,2,8,3,7,1]=>[1,7,3,8,2,9,4,6,5]
[4,9,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,9,4]
[9,6,3,5,4,7,2,8,1]=>[1,8,2,7,4,5,3,6,9]
[5,4,9,7,2,6,3,8,1]=>[1,8,3,6,2,7,9,4,5]
[9,6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6,9]
[7,8,2,3,4,5,9,1,6]=>[6,1,9,5,4,3,2,8,7]
[9,8,7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7,8,9]
[8,7,6,1,3,9,5,4,2]=>[2,4,5,9,3,1,6,7,8]
[9,4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4,9]
[9,2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2,9]
[8,5,3,6,1,2,4,7,9]=>[9,7,4,2,1,6,3,5,8]
[7,5,3,8,1,2,4,6,9]=>[9,6,4,2,1,8,3,5,7]
[9,5,3,1,7,2,4,6,8]=>[8,6,4,2,7,1,3,5,9]
[9,7,3,1,5,2,4,6,8]=>[8,6,4,2,5,1,3,7,9]
[9,7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7,9]
[8,4,5,6,1,2,3,7,9]=>[9,7,3,2,1,6,5,4,8]
[6,7,3,8,1,2,4,5,9]=>[9,5,4,2,1,8,3,7,6]
[5,8,3,1,9,2,4,6,7]=>[7,6,4,2,9,1,3,8,5]
[5,3,1,7,2,4,6,8,9]=>[9,8,6,4,2,7,1,3,5]
[9,5,1,3,2,4,7,6,8]=>[8,6,7,4,2,3,1,5,9]
[9,7,3,1,2,5,4,6,8]=>[8,6,4,5,2,1,3,7,9]
[2,6,7,5,8,3,9,4,1]=>[1,4,9,3,8,5,7,6,2]
[2,6,7,5,8,1,4,9,3]=>[3,9,4,1,8,5,7,6,2]
[3,1,6,7,5,8,4,9,2]=>[2,9,4,8,5,7,6,1,3]
[9,6,5,1,4,3,8,2,7]=>[7,2,8,3,4,1,5,6,9]
[8,6,5,1,4,9,3,7,2]=>[2,7,3,9,4,1,5,6,8]
[7,6,5,3,4,9,1,8,2]=>[2,8,1,9,4,3,5,6,7]
[7,5,4,1,3,9,2,8,6]=>[6,8,2,9,3,1,4,5,7]
[9,6,2,5,4,8,3,1,7]=>[7,1,3,8,4,5,2,6,9]
[8,5,1,4,3,7,9,6,2]=>[2,6,9,7,3,4,1,5,8]
[6,9,5,8,3,4,7,1,2]=>[2,1,7,4,3,8,5,9,6]
[7,6,9,4,1,5,3,8,2]=>[2,8,3,5,1,4,9,6,7]
[1,9,5,8,2,4,7,3,6]=>[6,3,7,4,2,8,5,9,1]
[9,3,6,5,8,4,2,1,7]=>[7,1,2,4,8,5,6,3,9]
[3,1,5,7,2,4,6,8,9]=>[9,8,6,4,2,7,5,1,3]
[4,2,1,6,3,5,7,8,9]=>[9,8,7,5,3,6,1,2,4]
[4,6,1,2,8,3,5,7,9]=>[9,7,5,3,8,2,1,6,4]
[4,2,1,6,8,3,5,7,9]=>[9,7,5,3,8,6,1,2,4]
[5,2,7,1,3,4,6,8,9]=>[9,8,6,4,3,1,7,2,5]
[5,3,1,2,7,4,6,8,9]=>[9,8,6,4,7,2,1,3,5]
[5,2,7,1,3,9,4,6,8]=>[8,6,4,9,3,1,7,2,5]
[5,3,1,2,7,9,4,6,8]=>[8,6,4,9,7,2,1,3,5]
[6,8,2,4,1,3,5,7,9]=>[9,7,5,3,1,4,2,8,6]
[6,3,1,8,2,4,5,7,9]=>[9,7,5,4,2,8,1,3,6]
[7,3,9,1,5,2,4,6,8]=>[8,6,4,2,5,1,9,3,7]
[7,4,2,1,9,3,5,6,8]=>[8,6,5,3,9,1,2,4,7]
[7,5,3,1,2,4,9,6,8]=>[8,6,9,4,2,1,3,5,7]
[4,9,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,9,4]
[4,9,6,2,3,1,8,5,7]=>[7,5,8,1,3,2,6,9,4]
[4,9,6,2,8,1,5,3,7]=>[7,3,5,1,8,2,6,9,4]
[4,9,6,2,8,1,7,3,5]=>[5,3,7,1,8,2,6,9,4]
[4,9,6,2,7,1,3,8,5]=>[5,8,3,1,7,2,6,9,4]
[4,9,5,2,1,7,3,8,6]=>[6,8,3,7,1,2,5,9,4]
[3,9,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,9,3]
[4,9,8,2,3,1,5,6,7]=>[7,6,5,1,3,2,8,9,4]
[4,9,6,2,7,1,5,3,8]=>[8,3,5,1,7,2,6,9,4]
[4,9,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,9,4]
[4,9,5,2,1,8,7,3,6]=>[6,3,7,8,1,2,5,9,4]
[3,9,2,6,7,1,4,8,5]=>[5,8,4,1,7,6,2,9,3]
[9,4,5,1,2,7,3,8,6]=>[6,8,3,7,2,1,5,4,9]
[9,3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3,9]
[8,3,1,5,2,4,7,6,9]=>[9,6,7,4,2,5,1,3,8]
[8,3,1,2,5,4,7,6,9]=>[9,6,7,4,5,2,1,3,8]
[9,4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4,9]
[9,3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3,9]
[7,3,1,5,2,9,4,8,6]=>[6,8,4,9,2,5,1,3,7]
[8,3,1,5,2,4,7,9,6]=>[6,9,7,4,2,5,1,3,8]
[8,3,1,2,5,7,4,6,9]=>[9,6,4,7,5,2,1,3,8]
[8,1,3,5,2,4,7,6,9]=>[9,6,7,4,2,5,3,1,8]
[2,7,5,1,9,8,6,4,3]=>[3,4,6,8,9,1,5,7,2]
[4,2,7,1,9,8,6,5,3]=>[3,5,6,8,9,1,7,2,4]
[4,2,9,6,1,8,7,5,3]=>[3,5,7,8,1,6,9,2,4]
[4,2,8,6,1,9,7,5,3]=>[3,5,7,9,1,6,8,2,4]
[2,8,6,4,1,9,7,5,3]=>[3,5,7,9,1,4,6,8,2]
[7,2,9,3,1,8,6,5,4]=>[4,5,6,8,1,3,9,2,7]
[4,2,9,8,5,1,7,6,3]=>[3,6,7,1,5,8,9,2,4]
[6,4,2,9,7,1,8,5,3]=>[3,5,8,1,7,9,2,4,6]
[4,2,6,1,9,8,7,5,3]=>[3,5,7,8,9,1,6,2,4]
[6,2,8,4,1,9,7,5,3]=>[3,5,7,9,1,4,8,2,6]
[4,8,6,2,1,9,7,5,3]=>[3,5,7,9,1,2,6,8,4]
[2,8,6,4,9,7,5,3,1]=>[1,3,5,7,9,4,6,8,2]
[1,5,4,3,2,6,7,8,9]=>[9,8,7,6,2,3,4,5,1]
[7,8,3,2,9,6,5,1,4]=>[4,1,5,6,9,2,3,8,7]
[8,6,5,7,3,2,1,4,9]=>[9,4,1,2,3,7,5,6,8]
[3,4,1,6,7,8,9,2,5]=>[5,2,9,8,7,6,1,4,3]
[3,5,1,6,7,8,9,2,4]=>[4,2,9,8,7,6,1,5,3]
[3,1,2,6,7,8,9,4,5]=>[5,4,9,8,7,6,2,1,3]
[1,3,4,5,7,8,9,2,6]=>[6,2,9,8,7,5,4,3,1]
[4,5,6,8,9,1,2,3,7]=>[7,3,2,1,9,8,6,5,4]
[2,3,4,5,7,1,8,6,9]=>[9,6,8,1,7,5,4,3,2]
[9,3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3,9]
[4,5,6,9,8,2,1,3,7]=>[7,3,1,2,8,9,6,5,4]
[9,4,2,1,6,7,8,5,3]=>[3,5,8,7,6,1,2,4,9]
[4,5,3,6,7,9,2,1,8]=>[8,1,2,9,7,6,3,5,4]
[3,9,4,6,7,8,1,5,2]=>[2,5,1,8,7,6,4,9,3]
[2,3,5,6,8,1,4,7,9]=>[9,7,4,1,8,6,5,3,2]
[4,5,7,9,2,1,8,3,6]=>[6,3,8,1,2,9,7,5,4]
[4,9,2,5,1,7,8,6,3]=>[3,6,8,7,1,5,2,9,4]
[9,2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2,9]
[4,9,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,9,4]
[8,2,3,4,7,5,9,1,6]=>[6,1,9,5,7,4,3,2,8]
[5,3,9,1,2,4,8,6,7]=>[7,6,8,4,2,1,9,3,5]
[8,2,1,3,4,5,7,9,6]=>[6,9,7,5,4,3,1,2,8]
[3,5,9,1,2,7,4,6,8]=>[8,6,4,7,2,1,9,5,3]
[7,2,3,4,6,8,9,1,5]=>[5,1,9,8,6,4,3,2,7]
[3,5,6,9,1,2,8,4,7]=>[7,4,8,2,1,9,6,5,3]
[7,2,1,3,4,6,5,9,8]=>[8,9,5,6,4,3,1,2,7]
[3,6,1,2,8,4,5,9,7]=>[7,9,5,4,8,2,1,6,3]
[1,8,2,3,4,5,9,7,6]=>[6,7,9,5,4,3,2,8,1]
[6,9,8,3,4,5,2,1,7]=>[7,1,2,5,4,3,8,9,6]
[8,9,3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3,9,8]
[5,8,2,3,4,9,7,6,1]=>[1,6,7,9,4,3,2,8,5]
[7,2,8,3,4,5,9,1,6]=>[6,1,9,5,4,3,8,2,7]
[5,9,8,3,4,2,1,7,6]=>[6,7,1,2,4,3,8,9,5]
[1,9,3,6,4,5,2,7,8]=>[8,7,2,5,4,6,3,9,1]
[8,9,1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1,9,8]
[4,8,2,3,9,1,7,5,6]=>[6,5,7,1,9,3,2,8,4]
[1,5,8,3,4,9,6,7,2]=>[2,7,6,9,4,3,8,5,1]
[7,1,3,8,4,5,9,2,6]=>[6,2,9,5,4,8,3,1,7]
[3,9,4,8,1,7,2,6,5]=>[5,6,2,7,1,8,4,9,3]
[5,4,6,3,9,2,8,1,7]=>[7,1,8,2,9,3,6,4,5]
[1,2,5,3,6,7,9,4,8]=>[8,4,9,7,6,3,5,2,1]
[8,7,1,3,9,6,5,4,2]=>[2,4,5,6,9,3,1,7,8]
[6,9,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,9,6]
[9,8,6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6,8,9]
[8,7,9,6,1,5,4,3,2]=>[2,3,4,5,1,6,9,7,8]
[7,9,1,6,8,5,4,3,2]=>[2,3,4,5,8,6,1,9,7]
[9,8,5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5,8,9]
[9,8,7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7,8,9]
[1,4,9,8,7,6,2,5,3]=>[3,5,2,6,7,8,9,4,1]
[4,6,1,2,7,8,9,3,5]=>[5,3,9,8,7,2,1,6,4]
[4,5,7,1,2,8,9,3,6]=>[6,3,9,8,2,1,7,5,4]
[4,5,6,8,1,2,9,3,7]=>[7,3,9,2,1,8,6,5,4]
[4,5,6,1,2,3,9,7,8]=>[8,7,9,3,2,1,6,5,4]
[5,4,6,3,8,9,1,7,2]=>[2,7,1,9,8,3,6,4,5]
[5,4,6,3,8,1,9,7,2]=>[2,7,9,1,8,3,6,4,5]
[5,4,6,3,8,1,9,2,7]=>[7,2,9,1,8,3,6,4,5]
[5,4,6,3,8,9,2,7,1]=>[1,7,2,9,8,3,6,4,5]
[4,7,6,9,8,3,2,1,5]=>[5,1,2,3,8,9,6,7,4]
[2,3,5,6,7,1,4,8,9]=>[9,8,4,1,7,6,5,3,2]
[5,3,8,1,6,7,4,9,2]=>[2,9,4,7,6,1,8,3,5]
[6,9,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,9,6]
[5,9,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,9,5]
[4,9,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,9,4]
[6,9,2,3,4,5,8,7,1]=>[1,7,8,5,4,3,2,9,6]
[5,9,2,3,4,7,6,1,8]=>[8,1,6,7,4,3,2,9,5]
[4,9,2,3,6,5,1,7,8]=>[8,7,1,5,6,3,2,9,4]
[3,9,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,9,3]
[2,9,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,9,2]
[1,9,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,9,1]
[1,9,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,9,1]
[2,5,1,6,3,7,4,9,8]=>[8,9,4,7,3,6,1,5,2]
[2,4,1,7,3,8,5,9,6]=>[6,9,5,8,3,7,1,4,2]
[2,4,1,6,3,5,8,9,7]=>[7,9,8,5,3,6,1,4,2]
[5,4,3,6,9,2,8,1,7]=>[7,1,8,2,9,6,3,4,5]
[9,8,7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7,8,9]
[5,4,3,8,9,2,7,1,6]=>[6,1,7,2,9,8,3,4,5]
[7,6,5,4,8,9,2,3,1]=>[1,3,2,9,8,4,5,6,7]
[9,8,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,8,9]
[7,6,5,8,9,2,4,1,3]=>[3,1,4,2,9,8,5,6,7]
[4,3,5,6,9,2,8,1,7]=>[7,1,8,2,9,6,5,3,4]
[7,8,9,3,6,2,5,1,4]=>[4,1,5,2,6,3,9,8,7]
[4,9,3,1,8,2,7,6,5]=>[5,6,7,2,8,1,3,9,4]
[1,4,2,9,3,8,7,6,5]=>[5,6,7,8,3,9,2,4,1]
[5,9,4,8,3,1,7,2,6]=>[6,2,7,1,3,8,4,9,5]
[5,9,2,1,4,8,3,7,6]=>[6,7,3,8,4,1,2,9,5]
[5,1,9,4,2,8,3,7,6]=>[6,7,3,8,2,4,9,1,5]
[3,5,1,9,2,4,8,7,6]=>[6,7,8,4,2,9,1,5,3]
[1,2,5,3,9,4,8,7,6]=>[6,7,8,4,9,3,5,2,1]
[6,3,9,1,5,2,8,4,7]=>[7,4,8,2,5,1,9,3,6]
[1,6,2,9,5,3,8,4,7]=>[7,4,8,3,5,9,2,6,1]
[4,1,6,2,9,3,5,8,7]=>[7,8,5,3,9,2,6,1,4]
[1,2,3,6,4,9,5,8,7]=>[7,8,5,9,4,6,3,2,1]
[8,3,2,7,6,5,4,1,9]=>[9,1,4,5,6,7,2,3,8]
[8,2,7,6,5,4,3,1,9]=>[9,1,3,4,5,6,7,2,8]
[9,7,3,6,5,4,2,8,1]=>[1,8,2,4,5,6,3,7,9]
[9,4,8,2,7,6,5,3,1]=>[1,3,5,6,7,2,8,4,9]
[8,9,3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3,9,8]
[8,4,3,2,7,6,5,1,9]=>[9,1,5,6,7,2,3,4,8]
[9,5,8,7,2,6,4,3,1]=>[1,3,4,6,2,7,8,5,9]
[8,3,2,6,5,4,7,1,9]=>[9,1,7,4,5,6,2,3,8]
[8,9,7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7,9,8]
[6,7,4,3,2,8,9,1,5]=>[5,1,9,8,2,3,4,7,6]
[3,5,7,9,8,6,4,1,2]=>[2,1,4,6,8,9,7,5,3]
[5,7,9,8,6,3,4,1,2]=>[2,1,4,3,6,8,9,7,5]
[9,8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8,9]
[9,8,4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4,8,9]
[9,8,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,8,9]
[9,8,7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7,8,9]
[9,8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8,9]
[9,8,7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7,8,9]
[5,6,9,8,7,2,1,4,3]=>[3,4,1,2,7,8,9,6,5]
[5,6,9,8,7,1,2,4,3]=>[3,4,2,1,7,8,9,6,5]
[5,6,9,8,7,1,2,3,4]=>[4,3,2,1,7,8,9,6,5]
[7,6,9,8,1,3,2,5,4]=>[4,5,2,3,1,8,9,6,7]
[7,6,9,8,1,2,3,5,4]=>[4,5,3,2,1,8,9,6,7]
[2,3,1,4,6,7,8,9,5]=>[5,9,8,7,6,4,1,3,2]
[1,3,2,4,9,5,8,6,7]=>[7,6,8,5,9,4,2,3,1]
[1,4,2,3,5,9,6,8,7]=>[7,8,6,9,5,3,2,4,1]
[1,2,4,3,5,9,6,8,7]=>[7,8,6,9,5,3,4,2,1]
[5,4,3,2,1,8,6,9,7]=>[7,9,6,8,1,2,3,4,5]
[4,3,2,1,9,7,5,8,6]=>[6,8,5,7,9,1,2,3,4]
[3,2,1,8,6,4,9,7,5]=>[5,7,9,4,6,8,1,2,3]
[2,1,9,7,5,3,8,6,4]=>[4,6,8,3,5,7,9,1,2]
[9,5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5,9]
[9,5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5,9]
[9,4,3,7,2,6,1,5,8]=>[8,5,1,6,2,7,3,4,9]
[9,4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4,9]
[9,4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4,9]
[7,9,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,9,7]
[9,3,6,2,5,8,1,4,7]=>[7,4,1,8,5,2,6,3,9]
[9,3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3,9]
[9,3,2,5,7,1,4,6,8]=>[8,6,4,1,7,5,2,3,9]
[9,3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3,9]
[5,9,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,9,5]
[5,9,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,9,5]
[3,5,9,1,2,4,6,7,8]=>[8,7,6,4,2,1,9,5,3]
[5,4,6,2,7,1,9,8,3]=>[3,8,9,1,7,2,6,4,5]
[5,3,6,2,7,1,9,8,4]=>[4,8,9,1,7,2,6,3,5]
[4,6,3,7,2,9,8,1,5]=>[5,1,8,9,2,7,3,6,4]
[4,5,3,7,2,9,8,1,6]=>[6,1,8,9,2,7,3,5,4]
[5,4,9,6,1,7,3,8,2]=>[2,8,3,7,1,6,9,4,5]
[9,5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5,9]
[9,3,6,2,7,1,5,8,4]=>[4,8,5,1,7,2,6,3,9]
[4,9,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,9,4]
[4,5,3,9,2,7,8,1,6]=>[6,1,8,7,2,9,3,5,4]
[5,4,1,9,8,7,6,3,2]=>[2,3,6,7,8,9,1,4,5]
[1,9,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,9,1]
[4,1,2,3,6,7,8,9,5]=>[5,9,8,7,6,3,2,1,4]
[4,5,1,2,3,7,8,9,6]=>[6,9,8,7,3,2,1,5,4]
[1,8,9,3,6,2,7,4,5]=>[5,4,7,2,6,3,9,8,1]
[1,8,9,4,5,3,6,2,7]=>[7,2,6,3,5,4,9,8,1]
[1,8,9,5,3,6,2,7,4]=>[4,7,2,6,3,5,9,8,1]
[1,8,9,6,2,7,3,5,4]=>[4,5,3,7,2,6,9,8,1]
[1,8,9,7,2,6,3,5,4]=>[4,5,3,6,2,7,9,8,1]
[1,8,3,6,9,2,7,4,5]=>[5,4,7,2,9,6,3,8,1]
[1,8,4,5,9,3,6,2,7]=>[7,2,6,3,9,5,4,8,1]
[1,8,5,3,6,2,7,4,9]=>[9,4,7,2,6,3,5,8,1]
[1,8,6,2,7,3,9,5,4]=>[4,5,9,3,7,2,6,8,1]
[1,8,7,2,9,6,3,5,4]=>[4,5,3,6,9,2,7,8,1]
[1,9,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,9,1]
[1,3,8,9,2,4,5,6,7]=>[7,6,5,4,2,9,8,3,1]
[6,5,9,4,3,8,2,1,7]=>[7,1,2,8,3,4,9,5,6]
[6,5,4,3,8,2,1,7,9]=>[9,7,1,2,8,3,4,5,6]
[5,9,8,4,3,7,2,1,6]=>[6,1,2,7,3,4,8,9,5]
[5,8,4,3,7,2,1,6,9]=>[9,6,1,2,7,3,4,8,5]
[5,4,9,3,7,2,1,6,8]=>[8,6,1,2,7,3,9,4,5]
[5,4,3,7,2,1,6,8,9]=>[9,8,6,1,2,7,3,4,5]
[8,4,3,7,6,2,1,5,9]=>[9,5,1,2,6,7,3,4,8]
[7,4,9,3,6,2,1,5,8]=>[8,5,1,2,6,3,9,4,7]
[7,4,3,6,2,1,5,8,9]=>[9,8,5,1,2,6,3,4,7]
[4,8,3,6,2,1,5,7,9]=>[9,7,5,1,2,6,3,8,4]
[4,3,6,2,1,5,7,8,9]=>[9,8,7,5,1,2,6,3,4]
[3,6,9,8,5,2,1,4,7]=>[7,4,1,2,5,8,9,6,3]
[3,6,8,5,2,1,4,7,9]=>[9,7,4,1,2,5,8,6,3]
[3,6,5,2,1,4,7,8,9]=>[9,8,7,4,1,2,5,6,3]
[9,7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7,9]
[7,3,5,2,1,4,6,8,9]=>[9,8,6,4,1,2,5,3,7]
[3,5,2,1,4,6,7,8,9]=>[9,8,7,6,4,1,2,5,3]
[1,3,5,8,9,2,4,6,7]=>[7,6,4,2,9,8,5,3,1]
[1,3,5,2,4,7,9,6,8]=>[8,6,9,7,4,2,5,3,1]
[9,4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4,9]
[6,4,5,7,8,9,3,1,2]=>[2,1,3,9,8,7,5,4,6]
[3,6,7,8,9,5,1,2,4]=>[4,2,1,5,9,8,7,6,3]
[2,7,8,5,9,1,3,4,6]=>[6,4,3,1,9,5,8,7,2]
[1,8,9,7,2,3,4,5,6]=>[6,5,4,3,2,7,9,8,1]
[9,4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4,9]
[9,5,6,7,2,8,1,3,4]=>[4,3,1,8,2,7,6,5,9]
[6,4,5,7,8,1,2,9,3]=>[3,9,2,1,8,7,5,4,6]
[8,6,7,2,9,1,3,4,5]=>[5,4,3,1,9,2,7,6,8]
[4,6,7,8,3,9,5,1,2]=>[2,1,5,9,3,8,7,6,4]
[2,7,8,5,9,6,1,3,4]=>[4,3,1,6,9,5,8,7,2]
[9,2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2,9]
[1,8,5,6,9,2,3,4,7]=>[7,4,3,2,9,6,5,8,1]
[1,9,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,9,1]
[9,7,6,5,4,1,3,8,2]=>[2,8,3,1,4,5,6,7,9]
[5,8,4,9,3,6,2,7,1]=>[1,7,2,6,3,9,4,8,5]
[7,4,3,8,5,2,9,6,1]=>[1,6,9,2,5,8,3,4,7]
[7,4,9,5,3,8,2,6,1]=>[1,6,2,8,3,5,9,4,7]
[4,3,7,6,9,2,8,5,1]=>[1,5,8,2,9,6,7,3,4]
[8,3,9,6,4,2,7,5,1]=>[1,5,7,2,4,6,9,3,8]
[4,6,9,3,8,2,7,5,1]=>[1,5,7,2,8,3,9,6,4]
[8,6,3,2,5,9,7,4,1]=>[1,4,7,9,5,2,3,6,8]
[9,6,8,3,5,7,2,4,1]=>[1,4,2,7,5,3,8,6,9]
[3,5,7,9,2,8,6,4,1]=>[1,4,6,8,2,9,7,5,3]
[9,3,5,8,2,7,6,4,1]=>[1,4,6,7,2,8,5,3,9]
[5,9,7,8,2,3,1,6,4]=>[4,6,1,3,2,8,7,9,5]
[9,2,8,7,3,1,5,6,4]=>[4,6,5,1,3,7,8,2,9]
[9,2,8,7,4,6,5,3,1]=>[1,3,5,6,4,7,8,2,9]
[9,8,2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2,8,9]
[1,7,3,9,2,6,4,8,5]=>[5,8,4,6,2,9,3,7,1]
[1,6,7,3,4,9,2,5,8]=>[8,5,2,9,4,3,7,6,1]
[1,6,4,9,2,8,3,5,7]=>[7,5,3,8,2,9,4,6,1]
[1,5,9,2,4,3,6,8,7]=>[7,8,6,3,4,2,9,5,1]
[1,5,9,2,8,3,4,6,7]=>[7,6,4,3,8,2,9,5,1]
[1,5,9,2,4,6,8,3,7]=>[7,3,8,6,4,2,9,5,1]
[1,5,9,2,7,3,8,4,6]=>[6,4,8,3,7,2,9,5,1]
[1,4,2,8,6,9,5,3,7]=>[7,3,5,9,6,8,2,4,1]
[1,4,6,9,2,3,7,8,5]=>[5,8,7,3,2,9,6,4,1]
[1,4,3,8,5,2,7,6,9]=>[9,6,7,2,5,8,3,4,1]
[1,4,8,2,6,9,3,5,7]=>[7,5,3,9,6,2,8,4,1]
[1,4,8,2,6,9,3,7,5]=>[5,7,3,9,6,2,8,4,1]
[1,3,2,6,4,8,7,9,5]=>[5,9,7,8,4,6,2,3,1]
[1,3,7,9,4,8,5,2,6]=>[6,2,5,8,4,9,7,3,1]
[1,3,7,9,2,5,8,6,4]=>[4,6,8,5,2,9,7,3,1]
[1,3,6,2,5,8,4,7,9]=>[9,7,4,8,5,2,6,3,1]
[1,2,4,7,3,6,8,9,5]=>[5,9,8,6,3,7,4,2,1]
[4,1,2,3,6,8,5,7,9]=>[9,7,5,8,6,3,2,1,4]
[9,2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2,9]
[2,4,6,5,3,7,8,9,1]=>[1,9,8,7,3,5,6,4,2]
[2,5,4,6,3,7,8,9,1]=>[1,9,8,7,3,6,4,5,2]
[3,5,7,8,2,9,4,1,6]=>[6,1,4,9,2,8,7,5,3]
[7,8,6,3,4,5,9,1,2]=>[2,1,9,5,4,3,6,8,7]
[7,6,2,3,4,5,8,1,9]=>[9,1,8,5,4,3,2,6,7]
[6,7,8,5,4,9,1,2,3]=>[3,2,1,9,4,5,8,7,6]
[6,7,5,3,4,8,1,2,9]=>[9,2,1,8,4,3,5,7,6]
[6,5,2,3,4,8,7,9,1]=>[1,9,7,8,4,3,2,5,6]
[6,5,2,3,4,7,1,8,9]=>[9,8,1,7,4,3,2,5,6]
[5,6,7,4,8,1,2,3,9]=>[9,3,2,1,8,4,7,6,5]
[5,6,4,3,8,7,2,9,1]=>[1,9,2,7,8,3,4,6,5]
[5,6,4,3,7,1,2,8,9]=>[9,8,2,1,7,3,4,6,5]
[5,4,2,3,7,6,8,1,9]=>[9,1,8,6,7,3,2,4,5]
[5,4,2,3,6,1,7,8,9]=>[9,8,7,1,6,3,2,4,5]
[4,5,3,7,6,2,8,1,9]=>[9,1,8,2,6,7,3,5,4]
[4,5,3,6,1,2,7,8,9]=>[9,8,7,2,1,6,3,5,4]
[4,3,2,6,5,7,1,8,9]=>[9,8,1,7,5,6,2,3,4]
[3,2,5,4,6,1,7,8,9]=>[9,8,7,1,6,4,5,2,3]
[2,1,4,3,5,7,8,9,6]=>[6,9,8,7,5,3,4,1,2]
[2,1,4,3,6,5,7,9,8]=>[8,9,7,5,6,3,4,1,2]
[6,1,2,9,3,5,4,7,8]=>[8,7,4,5,3,9,2,1,6]
[8,7,5,1,6,4,3,2,9]=>[9,2,3,4,6,1,5,7,8]
[7,9,8,5,1,6,4,3,2]=>[2,3,4,6,1,5,8,9,7]
[3,2,5,4,1,6,7,8,9]=>[9,8,7,6,1,4,5,2,3]
[2,6,5,4,3,1,7,8,9]=>[9,8,7,1,3,4,5,6,2]
[3,2,6,5,4,1,7,8,9]=>[9,8,7,1,4,5,6,2,3]
[2,3,6,5,4,1,7,8,9]=>[9,8,7,1,4,5,6,3,2]
[2,4,3,6,5,1,7,8,9]=>[9,8,7,1,5,6,3,4,2]
[2,4,3,7,6,5,1,8,9]=>[9,8,1,5,6,7,3,4,2]
[2,3,4,7,6,5,1,8,9]=>[9,8,1,5,6,7,4,3,2]
[2,3,5,4,7,6,1,8,9]=>[9,8,1,6,7,4,5,3,2]
[5,6,7,1,2,3,4,9,8]=>[8,9,4,3,2,1,7,6,5]
[3,9,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,9,3]
[3,1,9,4,2,5,6,7,8]=>[8,7,6,5,2,4,9,1,3]
[4,1,9,5,2,3,6,7,8]=>[8,7,6,3,2,5,9,1,4]
[9,6,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,6,9]
[6,1,9,7,2,3,4,5,8]=>[8,5,4,3,2,7,9,1,6]
[6,1,9,5,2,3,4,7,8]=>[8,7,4,3,2,5,9,1,6]
[3,1,9,5,4,2,6,7,8]=>[8,7,6,2,4,5,9,1,3]
[4,1,9,6,5,2,3,7,8]=>[8,7,3,2,5,6,9,1,4]
[9,7,6,1,5,2,3,4,8]=>[8,4,3,2,5,1,6,7,9]
[6,1,9,8,7,2,3,4,5]=>[5,4,3,2,7,8,9,1,6]
[1,5,3,2,9,8,7,6,4]=>[4,6,7,8,9,2,3,5,1]
[1,9,8,7,5,3,2,6,4]=>[4,6,2,3,5,7,8,9,1]
[1,4,9,8,7,6,5,2,3]=>[3,2,5,6,7,8,9,4,1]
[1,5,9,8,7,6,3,2,4]=>[4,2,3,6,7,8,9,5,1]
[1,5,3,2,6,9,8,7,4]=>[4,7,8,9,6,2,3,5,1]
[1,7,9,8,5,3,2,6,4]=>[4,6,2,3,5,8,9,7,1]
[1,8,9,6,4,2,7,5,3]=>[3,5,7,2,4,6,9,8,1]
[1,5,6,3,2,9,8,7,4]=>[4,7,8,9,2,3,6,5,1]
[1,4,5,9,8,7,6,2,3]=>[3,2,6,7,8,9,5,4,1]
[1,9,8,5,3,2,6,7,4]=>[4,7,6,2,3,5,8,9,1]
[1,5,6,9,8,7,3,2,4]=>[4,2,3,7,8,9,6,5,1]
[1,9,6,4,2,7,8,5,3]=>[3,5,8,7,2,4,6,9,1]
[1,5,3,2,6,7,9,8,4]=>[4,8,9,7,6,2,3,5,1]
[1,7,8,9,5,3,2,6,4]=>[4,6,2,3,5,9,8,7,1]
[1,5,2,7,3,4,6,9,8]=>[8,9,6,4,3,7,2,5,1]
[1,5,2,3,4,7,6,9,8]=>[8,9,6,7,4,3,2,5,1]
[4,5,1,6,2,7,3,9,8]=>[8,9,3,7,2,6,1,5,4]
[5,7,1,8,2,9,3,4,6]=>[6,4,3,9,2,8,1,7,5]
[8,4,6,9,1,2,3,5,7]=>[7,5,3,2,1,9,6,4,8]
[9,6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6,9]
[8,6,9,5,1,2,3,4,7]=>[7,4,3,2,1,5,9,6,8]
[8,4,1,2,3,6,9,5,7]=>[7,5,9,6,3,2,1,4,8]
[8,4,6,9,3,1,2,5,7]=>[7,5,2,1,3,9,6,4,8]
[9,2,1,4,6,8,3,5,7]=>[7,5,3,8,6,4,1,2,9]
[8,6,5,9,1,2,3,4,7]=>[7,4,3,2,1,9,5,6,8]
[8,1,2,3,6,9,5,4,7]=>[7,4,5,9,6,3,2,1,8]
[9,6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6,9]
[8,4,3,6,9,1,2,5,7]=>[7,5,2,1,9,6,3,4,8]
[8,6,9,5,4,1,2,3,7]=>[7,3,2,1,4,5,9,6,8]
[9,1,4,6,8,3,2,5,7]=>[7,5,2,3,8,6,4,1,9]
[8,4,3,1,2,6,9,5,7]=>[7,5,9,6,2,1,3,4,8]
[8,4,6,9,3,2,1,5,7]=>[7,5,1,2,3,9,6,4,8]
[2,1,4,7,3,5,9,6,8]=>[8,6,9,5,3,7,4,1,2]
[3,1,2,5,7,4,9,6,8]=>[8,6,9,4,7,5,2,1,3]
[7,6,5,1,2,3,4,8,9]=>[9,8,4,3,2,1,5,6,7]
[7,9,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,9,7]
[6,9,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,9,6]
[6,5,8,7,1,2,3,4,9]=>[9,4,3,2,1,7,8,5,6]
[6,8,9,5,1,2,3,4,7]=>[7,4,3,2,1,5,9,8,6]
[5,4,8,7,3,1,2,6,9]=>[9,6,2,1,3,7,8,4,5]
[5,8,9,4,3,1,2,6,7]=>[7,6,2,1,3,4,9,8,5]
[5,7,4,9,6,1,2,3,8]=>[8,3,2,1,6,9,4,7,5]
[5,7,8,9,4,1,2,3,6]=>[6,3,2,1,4,9,8,7,5]
[4,7,3,9,6,2,1,5,8]=>[8,5,1,2,6,9,3,7,4]
[4,7,8,9,3,2,1,5,6]=>[6,5,1,2,3,9,8,7,4]
[4,3,6,5,8,7,1,2,9]=>[9,2,1,7,8,5,6,3,4]
[4,6,8,3,9,5,1,2,7]=>[7,2,1,5,9,3,8,6,4]
[4,6,7,8,9,3,1,2,5]=>[5,2,1,3,9,8,7,6,4]
[7,9,6,8,1,2,4,3,5]=>[5,3,4,2,1,8,6,9,7]
[6,7,4,9,8,1,3,2,5]=>[5,2,3,1,8,9,4,7,6]
[6,7,4,9,8,3,1,2,5]=>[5,2,1,3,8,9,4,7,6]
[6,7,4,9,8,2,1,5,3]=>[3,5,1,2,8,9,4,7,6]
[6,8,5,9,7,2,1,4,3]=>[3,4,1,2,7,9,5,8,6]
[6,7,5,9,8,2,1,4,3]=>[3,4,1,2,8,9,5,7,6]
[6,7,9,4,8,1,3,2,5]=>[5,2,3,1,8,4,9,7,6]
[6,7,4,9,2,8,1,3,5]=>[5,3,1,8,2,9,4,7,6]
[6,7,4,9,8,3,5,1,2]=>[2,1,5,3,8,9,4,7,6]
[6,7,4,9,8,2,1,3,5]=>[5,3,1,2,8,9,4,7,6]
[6,8,5,9,7,3,1,4,2]=>[2,4,1,3,7,9,5,8,6]
[6,7,4,8,9,2,1,5,3]=>[3,5,1,2,9,8,4,7,6]
[5,8,6,9,7,2,1,4,3]=>[3,4,1,2,7,9,6,8,5]
[6,5,1,2,4,3,8,7,9]=>[9,7,8,3,4,2,1,5,6]
[8,7,3,1,2,4,6,5,9]=>[9,5,6,4,2,1,3,7,8]
[9,5,3,1,2,4,6,8,7]=>[7,8,6,4,2,1,3,5,9]
[5,6,7,8,1,3,4,2,9]=>[9,2,4,3,1,8,7,6,5]
[5,6,7,8,1,4,2,3,9]=>[9,3,2,4,1,8,7,6,5]
[1,6,7,8,9,2,4,5,3]=>[3,5,4,2,9,8,7,6,1]
[1,3,6,4,2,5,7,8,9]=>[9,8,7,5,2,4,6,3,1]
[1,3,5,8,6,4,2,7,9]=>[9,7,2,4,6,8,5,3,1]
[1,3,5,4,2,6,7,9,8]=>[8,9,7,6,2,4,5,3,1]
[1,3,2,4,5,7,6,8,9]=>[9,8,6,7,5,4,2,3,1]
[6,9,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,9,6]
[5,9,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,9,5]
[5,4,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,4,5]
[5,9,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,9,5]
[4,3,9,8,2,7,6,5,1]=>[1,5,6,7,2,8,9,3,4]
[4,9,8,3,2,7,6,5,1]=>[1,5,6,7,2,3,8,9,4]
[4,9,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,9,4]
[3,9,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,9,3]
[3,9,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,9,3]
[9,4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4,9]
[4,1,9,8,3,2,7,6,5]=>[5,6,7,2,3,8,9,1,4]
[9,4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4,9]
[1,2,9,4,3,8,7,6,5]=>[5,6,7,8,3,4,9,2,1]
[9,5,4,1,8,7,3,2,6]=>[6,2,3,7,8,1,4,5,9]
[2,9,5,1,8,4,3,7,6]=>[6,7,3,4,8,1,5,9,2]
[1,5,2,9,8,4,3,7,6]=>[6,7,3,4,8,9,2,5,1]
[1,9,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,9,1]
[1,2,3,9,5,4,8,7,6]=>[6,7,8,4,5,9,3,2,1]
[3,1,9,6,2,8,5,4,7]=>[7,4,5,8,2,6,9,1,3]
[1,2,6,3,9,8,5,4,7]=>[7,4,5,8,9,3,6,2,1]
[1,2,9,6,4,3,5,8,7]=>[7,8,5,3,4,6,9,2,1]
[1,2,3,4,9,6,5,8,7]=>[7,8,5,6,9,4,3,2,1]
[1,2,3,9,7,5,4,6,8]=>[8,6,4,5,7,9,3,2,1]
[5,4,8,3,6,2,9,1,7]=>[7,1,9,2,6,3,8,4,5]
[9,1,2,6,5,3,4,7,8]=>[8,7,4,3,5,6,2,1,9]
[6,1,9,2,5,3,4,7,8]=>[8,7,4,3,5,2,9,1,6]
[9,3,4,1,5,2,6,7,8]=>[8,7,6,2,5,1,4,3,9]
[7,1,2,6,3,9,4,5,8]=>[8,5,4,9,3,6,2,1,7]
[9,1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1,9]
[8,1,2,3,7,4,9,5,6]=>[6,5,9,4,7,3,2,1,8]
[9,1,2,6,5,3,7,4,8]=>[8,4,7,3,5,6,2,1,9]
[9,1,2,3,6,7,4,8,5]=>[5,8,4,7,6,3,2,1,9]
[9,8,7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7,8,9]
[9,8,2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2,8,9]
[9,8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8,9]
[9,8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8,9]
[2,9,3,8,4,7,1,5,6]=>[6,5,1,7,4,8,3,9,2]
[9,3,8,1,4,7,2,5,6]=>[6,5,2,7,4,1,8,3,9]
[9,3,8,4,7,1,2,5,6]=>[6,5,2,1,7,4,8,3,9]
[9,8,2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2,8,9]
[9,8,4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4,8,9]
[4,9,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,9,4]
[4,9,5,8,1,2,3,6,7]=>[7,6,3,2,1,8,5,9,4]
[9,1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1,9]
[9,3,5,8,1,2,4,6,7]=>[7,6,4,2,1,8,5,3,9]
[9,5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5,9]
[4,6,9,1,2,3,5,7,8]=>[8,7,5,3,2,1,9,6,4]
[4,2,1,6,7,8,9,3,5]=>[5,3,9,8,7,6,1,2,4]
[1,5,4,8,3,7,2,6,9]=>[9,6,2,7,3,8,4,5,1]
[1,2,6,5,9,4,8,3,7]=>[7,3,8,4,9,5,6,2,1]
[1,8,4,7,3,6,2,5,9]=>[9,5,2,6,3,7,4,8,1]
[1,4,8,3,7,2,6,5,9]=>[9,5,6,2,7,3,8,4,1]
[1,2,9,5,8,4,7,3,6]=>[6,3,7,4,8,5,9,2,1]
[5,7,2,3,4,6,8,9,1]=>[1,9,8,6,4,3,2,7,5]
[4,6,1,2,3,5,7,9,8]=>[8,9,7,5,3,2,1,6,4]
[9,8,2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2,8,9]
[9,1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1,9]
[9,2,8,1,6,7,5,4,3]=>[3,4,5,7,6,1,8,2,9]
[9,7,8,6,1,2,5,4,3]=>[3,4,5,2,1,6,8,7,9]
[8,9,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,9,8]
[1,9,3,8,7,6,5,2,4]=>[4,2,5,6,7,8,3,9,1]
[9,2,5,8,7,6,4,1,3]=>[3,1,4,6,7,8,5,2,9]
[1,2,9,8,7,5,4,6,3]=>[3,6,4,5,7,8,9,2,1]
[9,6,8,7,1,5,4,2,3]=>[3,2,4,5,1,7,8,6,9]
[6,1,2,9,8,5,7,4,3]=>[3,4,7,5,8,9,2,1,6]
[9,7,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,7,9]
[9,2,7,1,6,8,5,4,3]=>[3,4,5,8,6,1,7,2,9]
[8,7,9,6,1,2,5,4,3]=>[3,4,5,2,1,6,9,7,8]
[6,1,3,4,5,7,8,9,2]=>[2,9,8,7,5,4,3,1,6]
[5,4,2,1,6,7,8,9,3]=>[3,9,8,7,6,1,2,4,5]
[6,5,2,3,1,7,8,9,4]=>[4,9,8,7,1,3,2,5,6]
[6,7,2,3,4,1,8,9,5]=>[5,9,8,1,4,3,2,7,6]
[8,7,2,3,4,5,1,9,6]=>[6,9,1,5,4,3,2,7,8]
[1,5,6,3,4,7,8,9,2]=>[2,9,8,7,4,3,6,5,1]
[1,6,3,7,4,5,8,9,2]=>[2,9,8,5,4,7,3,6,1]
[6,1,3,4,8,5,7,9,2]=>[2,9,7,5,8,4,3,1,6]
[5,4,2,6,1,7,8,9,3]=>[3,9,8,7,1,6,2,4,5]
[1,8,3,4,5,9,6,7,2]=>[2,7,6,9,5,4,3,8,1]
[6,5,2,3,7,1,8,9,4]=>[4,9,8,1,7,3,2,5,6]
[1,9,3,4,5,6,2,8,7]=>[7,8,2,6,5,4,3,9,1]
[6,7,2,3,4,8,1,9,5]=>[5,9,1,8,4,3,2,7,6]
[8,7,2,3,4,5,9,1,6]=>[6,1,9,5,4,3,2,7,8]
[2,3,4,9,7,5,1,8,6]=>[6,8,1,5,7,9,4,3,2]
[2,3,9,6,4,7,1,8,5]=>[5,8,1,7,4,6,9,3,2]
[2,8,5,3,6,7,1,9,4]=>[4,9,1,7,6,3,5,8,2]
[9,4,2,5,6,7,1,8,3]=>[3,8,1,7,6,5,2,4,9]
[2,3,6,5,8,7,4,1,9]=>[9,1,4,7,8,5,6,3,2]
[2,5,4,9,6,7,3,1,8]=>[8,1,3,7,6,9,4,5,2]
[2,3,6,9,4,7,1,8,5]=>[5,8,1,7,4,9,6,3,2]
[4,3,8,5,6,7,2,1,9]=>[9,1,2,7,6,5,8,3,4]
[2,5,9,3,6,7,1,8,4]=>[4,8,1,7,6,3,9,5,2]
[4,8,2,5,6,7,1,9,3]=>[3,9,1,7,6,5,2,8,4]
[3,9,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,9,3]
[3,5,4,2,6,1,8,7,9]=>[9,7,8,1,6,2,4,5,3]
[3,2,5,7,6,4,8,1,9]=>[9,1,8,4,6,7,5,2,3]
[9,2,3,8,1,4,5,6,7]=>[7,6,5,4,1,8,3,2,9]
[8,3,4,5,6,9,7,1,2]=>[2,1,7,9,6,5,4,3,8]
[7,3,4,5,9,8,1,2,6]=>[6,2,1,8,9,5,4,3,7]
[5,2,3,1,9,4,6,7,8]=>[8,7,6,4,9,1,3,2,5]
[5,3,9,8,1,2,4,6,7]=>[7,6,4,2,1,8,9,3,5]
[4,9,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,9,4]
[9,3,4,5,7,8,1,2,6]=>[6,2,1,8,7,5,4,3,9]
[1,3,4,5,6,2,7,9,8]=>[8,9,7,2,6,5,4,3,1]
[3,5,6,7,9,8,1,2,4]=>[4,2,1,8,9,7,6,5,3]
[9,4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4,9]
[2,4,5,1,9,3,6,7,8]=>[8,7,6,3,9,1,5,4,2]
[3,5,9,8,1,2,4,6,7]=>[7,6,4,2,1,8,9,5,3]
[5,9,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,9,5]
[1,3,4,5,6,8,9,7,2]=>[2,7,9,8,6,5,4,3,1]
[4,5,2,6,7,1,3,8,9]=>[9,8,3,1,7,6,2,5,4]
[5,6,3,2,7,8,1,4,9]=>[9,4,1,8,7,2,3,6,5]
[4,5,6,7,2,3,8,9,1]=>[1,9,8,3,2,7,6,5,4]
[6,7,4,8,9,2,5,1,3]=>[3,1,5,2,9,8,4,7,6]
[6,7,4,3,8,9,2,5,1]=>[1,5,2,9,8,3,4,7,6]
[6,7,5,4,3,2,8,9,1]=>[1,9,8,2,3,4,5,7,6]
[9,1,3,8,4,2,7,6,5]=>[5,6,7,2,4,8,3,1,9]
[1,3,9,2,4,8,7,6,5]=>[5,6,7,8,4,2,9,3,1]
[2,9,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,9,2]
[9,1,3,8,4,7,5,2,6]=>[6,2,5,7,4,8,3,1,9]
[4,1,3,9,2,8,5,7,6]=>[6,7,5,8,2,9,3,1,4]
[9,4,1,2,8,5,3,7,6]=>[6,7,3,5,8,2,1,4,9]
[2,9,1,5,3,4,8,7,6]=>[6,7,8,4,3,5,1,9,2]
[2,3,9,1,5,4,8,7,6]=>[6,7,8,4,5,1,9,3,2]
[5,2,9,1,8,3,6,4,7]=>[7,4,6,3,8,1,9,2,5]
[2,9,5,1,3,8,6,4,7]=>[7,4,6,8,3,1,5,9,2]
[1,3,5,9,2,4,6,8,7]=>[7,8,6,4,2,9,5,3,1]
[9,2,6,1,4,3,5,8,7]=>[7,8,5,3,4,1,6,2,9]
[2,3,4,9,1,6,5,8,7]=>[7,8,5,6,1,9,4,3,2]
[2,3,4,5,9,1,7,6,8]=>[8,6,7,1,9,5,4,3,2]
[4,2,6,3,9,5,1,8,7]=>[7,8,1,5,9,3,6,2,4]
[4,2,6,3,5,8,1,9,7]=>[7,9,1,8,5,3,6,2,4]
[9,1,2,3,7,6,4,5,8]=>[8,5,4,6,7,3,2,1,9]
[9,1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1,9]
[9,8,3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3,8,9]
[9,4,5,6,8,3,7,2,1]=>[1,2,7,3,8,6,5,4,9]
[4,1,3,2,9,6,7,8,5]=>[5,8,7,6,9,2,3,1,4]
[5,1,3,4,2,9,7,8,6]=>[6,8,7,9,2,4,3,1,5]
[6,1,3,4,5,2,9,8,7]=>[7,8,9,2,5,4,3,1,6]
[7,1,3,4,5,6,2,9,8]=>[8,9,2,6,5,4,3,1,7]
[1,6,5,4,3,8,9,2,7]=>[7,2,9,8,3,4,5,6,1]
[1,2,7,6,5,4,9,3,8]=>[8,3,9,4,5,6,7,2,1]
[4,3,5,7,1,2,6,8,9]=>[9,8,6,2,1,7,5,3,4]
[4,6,1,3,8,2,5,7,9]=>[9,7,5,2,8,3,1,6,4]
[4,2,7,1,6,3,5,8,9]=>[9,8,5,3,6,1,7,2,4]
[5,3,2,1,7,4,6,8,9]=>[9,8,6,4,7,1,2,3,5]
[5,3,1,8,2,7,4,6,9]=>[9,6,4,7,2,8,1,3,5]
[6,4,3,2,1,8,5,7,9]=>[9,7,5,8,1,2,3,4,6]
[5,3,9,2,8,1,7,4,6]=>[6,4,7,1,8,2,9,3,5]
[6,4,2,1,9,3,8,5,7]=>[7,5,8,3,9,1,2,4,6]
[4,1,2,9,5,6,7,8,3]=>[3,8,7,6,5,9,2,1,4]
[5,1,2,3,9,6,7,8,4]=>[4,8,7,6,9,3,2,1,5]
[6,1,2,3,4,9,7,8,5]=>[5,8,7,9,4,3,2,1,6]
[6,7,2,8,3,9,4,1,5]=>[5,1,4,9,3,8,2,7,6]
[5,6,7,8,2,9,3,1,4]=>[4,1,3,9,2,8,7,6,5]
[8,4,5,6,3,9,2,7,1]=>[1,7,2,9,3,6,5,4,8]
[6,8,4,5,3,9,2,7,1]=>[1,7,2,9,3,5,4,8,6]
[5,3,6,8,4,9,2,7,1]=>[1,7,2,9,4,8,6,3,5]
[5,3,6,7,1,8,4,9,2]=>[2,9,4,8,1,7,6,3,5]
[5,3,6,8,4,7,1,9,2]=>[2,9,1,7,4,8,6,3,5]
[8,3,6,5,4,7,1,9,2]=>[2,9,1,7,4,5,6,3,8]
[8,4,5,3,9,2,7,6,1]=>[1,6,7,2,9,3,5,4,8]
[6,8,4,3,5,9,2,7,1]=>[1,7,2,9,5,3,4,8,6]
[6,7,1,8,4,9,2,5,3]=>[3,5,2,9,4,8,1,7,6]
[5,3,6,9,2,8,4,7,1]=>[1,7,4,8,2,9,6,3,5]
[6,5,3,7,1,8,4,9,2]=>[2,9,4,8,1,7,3,5,6]
[6,8,3,5,4,7,1,9,2]=>[2,9,1,7,4,5,3,8,6]
[6,5,3,9,1,8,4,7,2]=>[2,7,4,8,1,9,3,5,6]
[7,8,9,4,1,2,3,5,6]=>[6,5,3,2,1,4,9,8,7]
[6,4,5,7,8,9,1,2,3]=>[3,2,1,9,8,7,5,4,6]
[8,1,9,7,6,5,4,2,3]=>[3,2,4,5,6,7,9,1,8]
[5,6,4,7,1,8,3,9,2]=>[2,9,3,8,1,7,4,6,5]
[6,3,5,7,2,8,1,9,4]=>[4,9,1,8,2,7,5,3,6]
[7,4,5,3,8,2,9,1,6]=>[6,1,9,2,8,3,5,4,7]
[1,3,5,8,6,7,4,2,9]=>[9,2,4,7,6,8,5,3,1]
[1,3,5,6,8,7,4,2,9]=>[9,2,4,7,8,6,5,3,1]
[1,2,4,6,7,9,8,5,3]=>[3,5,8,9,7,6,4,2,1]
[5,8,1,2,3,9,4,6,7]=>[7,6,4,9,3,2,1,8,5]
[4,1,8,2,9,3,5,6,7]=>[7,6,5,3,9,2,8,1,4]
[1,8,3,2,9,4,5,6,7]=>[7,6,5,4,9,2,3,8,1]
[2,1,3,8,4,9,5,6,7]=>[7,6,5,9,4,8,3,1,2]
[9,8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8,9]
[9,8,5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5,8,9]
[7,6,5,4,2,9,1,3,8]=>[8,3,1,9,2,4,5,6,7]
[9,6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6,9]
[8,7,4,3,2,6,1,5,9]=>[9,5,1,6,2,3,4,7,8]
[7,6,2,9,1,3,4,5,8]=>[8,5,4,3,1,9,2,6,7]
[6,5,2,8,1,3,4,7,9]=>[9,7,4,3,1,8,2,5,6]
[1,9,5,6,3,7,2,8,4]=>[4,8,2,7,3,6,5,9,1]
[1,9,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,9,1]
[1,9,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,9,1]
[9,7,8,5,2,3,1,4,6]=>[6,4,1,3,2,5,8,7,9]
[9,7,4,5,3,6,1,2,8]=>[8,2,1,6,3,5,4,7,9]
[6,7,5,8,3,4,1,2,9]=>[9,2,1,4,3,8,5,7,6]
[7,2,3,4,5,8,9,6,1]=>[1,6,9,8,5,4,3,2,7]
[5,2,3,6,7,8,9,4,1]=>[1,4,9,8,7,6,3,2,5]
[8,9,2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2,9,8]
[7,8,2,3,4,9,1,6,5]=>[5,6,1,9,4,3,2,8,7]
[2,6,3,1,7,4,8,9,5]=>[5,9,8,4,7,1,3,6,2]
[5,6,2,7,1,8,9,4,3]=>[3,4,9,8,1,7,2,6,5]
[4,5,6,1,7,8,9,3,2]=>[2,3,9,8,7,1,6,5,4]
[2,8,3,4,5,6,9,7,1]=>[1,7,9,6,5,4,3,8,2]
[7,8,2,3,4,9,5,6,1]=>[1,6,5,9,4,3,2,8,7]
[2,6,3,4,7,1,8,9,5]=>[5,9,8,1,7,4,3,6,2]
[8,9,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,9,8]
[5,6,2,7,3,8,9,4,1]=>[1,4,9,8,3,7,2,6,5]
[7,8,2,3,1,9,4,6,5]=>[5,6,4,9,1,3,2,8,7]
[4,5,6,2,7,8,9,3,1]=>[1,3,9,8,7,2,6,5,4]
[2,6,1,3,7,4,8,9,5]=>[5,9,8,4,7,3,1,6,2]
[5,6,1,7,2,8,9,4,3]=>[3,4,9,8,2,7,1,6,5]
[9,8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8,9]
[9,6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6,9]
[1,9,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,9,1]
[1,2,9,7,5,4,6,3,8]=>[8,3,6,4,5,7,9,2,1]
[1,9,3,4,7,5,6,2,8]=>[8,2,6,5,7,4,3,9,1]
[1,2,9,4,7,5,6,3,8]=>[8,3,6,5,7,4,9,2,1]
[1,2,3,9,7,5,6,4,8]=>[8,4,6,5,7,9,3,2,1]
[1,9,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,9,1]
[1,2,9,6,5,4,3,7,8]=>[8,7,3,4,5,6,9,2,1]
[1,9,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,9,1]
[1,2,9,4,6,5,3,7,8]=>[8,7,3,5,6,4,9,2,1]
[1,2,3,9,6,5,4,7,8]=>[8,7,4,5,6,9,3,2,1]
[1,9,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,9,1]
[1,2,9,4,5,3,6,7,8]=>[8,7,6,3,5,4,9,2,1]
[5,2,1,6,7,8,9,3,4]=>[4,3,9,8,7,6,1,2,5]
[7,8,1,9,3,2,4,5,6]=>[6,5,4,2,3,9,1,8,7]
[8,9,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,9,8]
[5,6,3,2,4,7,8,9,1]=>[1,9,8,7,4,2,3,6,5]
[6,7,3,1,4,5,8,9,2]=>[2,9,8,5,4,1,3,7,6]
[7,8,3,4,5,2,6,9,1]=>[1,9,6,2,5,4,3,8,7]
[5,7,2,1,8,9,3,4,6]=>[6,4,3,9,8,1,2,7,5]
[8,9,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,9,8]
[6,8,1,9,3,2,4,5,7]=>[7,5,4,2,3,9,1,8,6]
[7,9,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,9,7]
[8,1,2,3,7,5,6,4,9]=>[9,4,6,5,7,3,2,1,8]
[8,1,2,7,4,5,6,9,3]=>[3,9,6,5,4,7,2,1,8]
[7,1,2,3,4,6,9,5,8]=>[8,5,9,6,4,3,2,1,7]
[5,1,2,7,9,4,6,8,3]=>[3,8,6,4,9,7,2,1,5]
[4,1,7,9,3,5,6,2,8]=>[8,2,6,5,3,9,7,1,4]
[3,7,9,2,4,5,6,8,1]=>[1,8,6,5,4,2,9,7,3]
[7,9,1,3,4,5,6,8,2]=>[2,8,6,5,4,3,1,9,7]
[8,1,2,3,6,5,4,7,9]=>[9,7,4,5,6,3,2,1,8]
[8,1,2,7,4,3,5,6,9]=>[9,6,5,3,4,7,2,1,8]
[6,1,2,3,5,9,4,7,8]=>[8,7,4,9,5,3,2,1,6]
[8,1,7,3,2,4,6,9,5]=>[5,9,6,4,2,3,7,1,8]
[5,1,2,7,9,3,4,8,6]=>[6,8,4,3,9,7,2,1,5]
[8,7,2,1,3,5,6,4,9]=>[9,4,6,5,3,1,2,7,8]
[4,1,7,9,2,3,6,8,5]=>[5,8,6,3,2,9,7,1,4]
[7,1,8,2,4,5,6,3,9]=>[9,3,6,5,4,2,8,1,7]
[3,7,9,1,2,5,6,4,8]=>[8,4,6,5,2,1,9,7,3]
[7,9,2,1,4,5,6,8,3]=>[3,8,6,5,4,1,2,9,7]
[1,8,2,9,7,6,5,4,3]=>[3,4,5,6,7,9,2,8,1]
[1,6,2,3,4,5,9,7,8]=>[8,7,9,5,4,3,2,6,1]
[6,2,3,4,5,7,1,9,8]=>[8,9,1,7,5,4,3,2,6]
[5,2,3,4,6,1,9,7,8]=>[8,7,9,1,6,4,3,2,5]
[3,2,4,1,9,5,6,7,8]=>[8,7,6,5,9,1,4,2,3]
[1,6,2,3,4,9,7,5,8]=>[8,5,7,9,4,3,2,6,1]
[5,2,3,9,6,4,7,8,1]=>[1,8,7,4,6,9,3,2,5]
[1,4,2,9,5,3,6,7,8]=>[8,7,6,3,5,9,2,4,1]
[5,2,3,6,1,4,9,7,8]=>[8,7,9,4,1,6,3,2,5]
[1,3,9,4,2,5,6,7,8]=>[8,7,6,5,2,4,9,3,1]
[5,2,9,1,3,6,7,8,4]=>[4,8,7,6,3,1,9,2,5]
[1,3,5,7,9,8,6,2,4]=>[4,2,6,8,9,7,5,3,1]
[1,3,5,7,9,8,4,2,6]=>[6,2,4,8,9,7,5,3,1]
[1,3,5,7,9,6,4,2,8]=>[8,2,4,6,9,7,5,3,1]
[1,3,5,8,9,6,4,2,7]=>[7,2,4,6,9,8,5,3,1]
[1,3,6,8,9,7,4,2,5]=>[5,2,4,7,9,8,6,3,1]
[1,5,3,7,9,8,2,6,4]=>[4,6,2,8,9,7,3,5,1]
[1,3,7,5,9,4,8,2,6]=>[6,2,8,4,9,5,7,3,1]
[1,3,5,8,6,9,4,2,7]=>[7,2,4,9,6,8,5,3,1]
[6,4,5,3,8,7,9,1,2]=>[2,1,9,7,8,3,5,4,6]
[1,9,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,9,1]
[1,8,3,2,9,4,7,5,6]=>[6,5,7,4,9,2,3,8,1]
[3,1,5,8,2,4,6,7,9]=>[9,7,6,4,2,8,5,1,3]
[1,5,3,8,2,4,6,7,9]=>[9,7,6,4,2,8,3,5,1]
[1,3,8,6,2,4,5,7,9]=>[9,7,5,4,2,6,8,3,1]
[1,3,9,6,2,4,5,7,8]=>[8,7,5,4,2,6,9,3,1]
[1,6,3,9,2,4,5,7,8]=>[8,7,5,4,2,9,3,6,1]
[4,1,6,9,2,3,5,7,8]=>[8,7,5,3,2,9,6,1,4]
[5,3,1,8,2,4,6,7,9]=>[9,7,6,4,2,8,1,3,5]
[8,1,6,4,2,3,5,7,9]=>[9,7,5,3,2,4,6,1,8]
[1,3,8,9,6,2,4,5,7]=>[7,5,4,2,6,9,8,3,1]
[1,6,3,7,2,4,5,8,9]=>[9,8,5,4,2,7,3,6,1]
[1,6,3,8,9,2,4,5,7]=>[7,5,4,2,9,8,3,6,1]
[1,9,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,9,1]
[6,2,3,9,1,4,5,7,8]=>[8,7,5,4,1,9,3,2,6]
[3,9,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,9,3]
[3,9,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,9,3]
[3,8,1,5,6,7,9,4,2]=>[2,4,9,7,6,5,1,8,3]
[3,9,2,4,1,7,8,5,6]=>[6,5,8,7,1,4,2,9,3]
[3,8,9,1,6,7,2,4,5]=>[5,4,2,7,6,1,9,8,3]
[3,7,1,5,6,8,4,9,2]=>[2,9,4,8,6,5,1,7,3]
[2,9,7,8,1,6,3,5,4]=>[4,5,3,6,1,8,7,9,2]
[2,9,3,8,6,7,1,5,4]=>[4,5,1,7,6,8,3,9,2]
[2,9,3,8,4,7,6,1,5]=>[5,1,6,7,4,8,3,9,2]
[2,9,3,8,7,1,6,4,5]=>[5,4,6,1,7,8,3,9,2]
[2,9,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,9,2]
[8,9,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,9,8]
[2,9,7,8,5,6,1,4,3]=>[3,4,1,6,5,8,7,9,2]
[2,9,3,8,6,7,4,5,1]=>[1,5,4,7,6,8,3,9,2]
[2,9,3,8,7,1,5,6,4]=>[4,6,5,1,7,8,3,9,2]
[2,9,8,1,4,7,6,3,5]=>[5,3,6,7,4,1,8,9,2]
[9,1,3,8,7,2,6,4,5]=>[5,4,6,2,7,8,3,1,9]
[7,9,2,8,6,5,4,3,1]=>[1,3,4,5,6,8,2,9,7]
[6,9,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,9,6]
[6,9,8,3,7,5,2,4,1]=>[1,4,2,5,7,3,8,9,6]
[5,9,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,9,5]
[9,8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8,9]
[5,1,3,2,6,7,8,9,4]=>[4,9,8,7,6,2,3,1,5]
[6,1,3,4,2,7,8,9,5]=>[5,9,8,7,2,4,3,1,6]
[7,1,3,4,5,2,8,9,6]=>[6,9,8,2,5,4,3,1,7]
[8,1,3,4,5,6,2,9,7]=>[7,9,2,6,5,4,3,1,8]
[9,1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1,9]
[9,3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3,9]
[2,9,4,1,5,6,7,8,3]=>[3,8,7,6,5,1,4,9,2]
[9,3,4,5,1,6,7,8,2]=>[2,8,7,6,1,5,4,3,9]
[2,9,4,5,1,6,7,8,3]=>[3,8,7,6,1,5,4,9,2]
[9,1,4,5,2,6,7,8,3]=>[3,8,7,6,2,5,4,1,9]
[9,3,1,5,2,6,7,8,4]=>[4,8,7,6,2,5,1,3,9]
[9,3,1,5,6,2,7,8,4]=>[4,8,7,2,6,5,1,3,9]
[9,1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1,9]
[2,9,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,9,2]
[9,1,4,2,6,3,7,8,5]=>[5,8,7,3,6,2,4,1,9]
[9,1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1,9]
[2,6,5,7,4,8,3,1,9]=>[9,1,3,8,4,7,5,6,2]
[2,6,5,7,4,8,1,3,9]=>[9,3,1,8,4,7,5,6,2]
[6,5,7,4,9,2,3,1,8]=>[8,1,3,2,9,4,7,5,6]
[2,6,5,9,7,4,1,8,3]=>[3,8,1,4,7,9,5,6,2]
[2,6,5,9,3,8,1,4,7]=>[7,4,1,8,3,9,5,6,2]
[6,5,7,4,9,8,1,3,2]=>[2,3,1,8,9,4,7,5,6]
[6,5,8,3,1,9,2,4,7]=>[7,4,2,9,1,3,8,5,6]
[3,2,6,5,8,7,4,1,9]=>[9,1,4,7,8,5,6,2,3]
[2,7,4,9,6,5,1,8,3]=>[3,8,1,5,6,9,4,7,2]
[2,7,4,9,3,8,1,5,6]=>[6,5,1,8,3,9,4,7,2]
[3,2,6,5,8,1,4,7,9]=>[9,7,4,1,8,5,6,2,3]
[6,5,8,1,3,9,7,4,2]=>[2,4,7,9,3,1,8,5,6]
[1,5,2,6,3,7,8,4,9]=>[9,4,8,7,3,6,2,5,1]
[2,3,5,6,1,7,8,4,9]=>[9,4,8,7,1,6,5,3,2]
[3,1,5,6,4,7,8,2,9]=>[9,2,8,7,4,6,5,1,3]
[3,1,6,4,7,8,2,5,9]=>[9,5,2,8,7,4,6,1,3]
[4,1,6,2,7,8,5,9,3]=>[3,9,5,8,7,2,6,1,4]
[2,3,6,1,7,4,8,9,5]=>[5,9,8,4,7,1,6,3,2]
[1,2,6,3,7,4,8,9,5]=>[5,9,8,4,7,3,6,2,1]
[3,1,6,4,5,7,8,2,9]=>[9,2,8,7,5,4,6,1,3]
[3,1,7,4,8,2,5,6,9]=>[9,6,5,2,8,4,7,1,3]
[4,1,7,2,8,5,9,3,6]=>[6,3,9,5,8,2,7,1,4]
[3,1,5,6,4,7,2,8,9]=>[9,8,2,7,4,6,5,1,3]
[3,1,6,4,7,8,5,9,2]=>[2,9,5,8,7,4,6,1,3]
[2,3,6,4,7,1,8,9,5]=>[5,9,8,1,7,4,6,3,2]
[5,2,6,1,7,3,8,9,4]=>[4,9,8,3,7,1,6,2,5]
[1,2,3,4,8,5,9,7,6]=>[6,7,9,5,8,4,3,2,1]
[1,2,3,8,4,9,7,6,5]=>[5,6,7,9,4,8,3,2,1]
[1,2,8,3,9,7,6,5,4]=>[4,5,6,7,9,3,8,2,1]
[5,4,6,3,9,7,1,8,2]=>[2,8,1,7,9,3,6,4,5]
[5,4,6,3,7,1,8,9,2]=>[2,9,8,1,7,3,6,4,5]
[6,3,4,5,7,1,8,9,2]=>[2,9,8,1,7,5,4,3,6]
[5,3,4,6,1,7,8,9,2]=>[2,9,8,7,1,6,4,3,5]
[4,3,5,1,6,7,8,9,2]=>[2,9,8,7,6,1,5,3,4]
[9,3,4,5,6,1,8,7,2]=>[2,7,8,1,6,5,4,3,9]
[8,3,4,5,1,7,6,9,2]=>[2,9,6,7,1,5,4,3,8]
[7,3,4,1,6,5,8,9,2]=>[2,9,8,5,6,1,4,3,7]
[6,3,1,5,4,7,8,9,2]=>[2,9,8,7,4,5,1,3,6]
[5,1,4,3,6,7,8,9,2]=>[2,9,8,7,6,3,4,1,5]
[7,6,4,5,1,8,9,2,3]=>[3,2,9,8,1,5,4,6,7]
[3,6,1,2,4,5,8,9,7]=>[7,9,8,5,4,2,1,6,3]
[3,6,1,7,2,4,8,9,5]=>[5,9,8,4,2,7,1,6,3]
[3,4,1,2,8,5,6,9,7]=>[7,9,6,5,8,2,1,4,3]
[3,4,1,2,5,7,8,9,6]=>[6,9,8,7,5,2,1,4,3]
[3,8,9,5,6,7,2,4,1]=>[1,4,2,7,6,5,9,8,3]
[9,8,4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4,8,9]
[4,3,8,9,6,7,2,5,1]=>[1,5,2,7,6,9,8,3,4]
[7,9,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,9,7]
[8,5,6,4,7,9,2,3,1]=>[1,3,2,9,7,4,6,5,8]
[8,6,7,3,4,2,5,9,1]=>[1,9,5,2,4,3,7,6,8]
[3,5,7,9,8,6,1,4,2]=>[2,4,1,6,8,9,7,5,3]
[3,5,7,9,8,1,6,4,2]=>[2,4,6,1,8,9,7,5,3]
[3,5,8,1,9,7,6,4,2]=>[2,4,6,7,9,1,8,5,3]
[3,6,1,8,9,7,5,4,2]=>[2,4,5,7,9,8,1,6,3]
[4,1,6,8,9,7,5,3,2]=>[2,3,5,7,9,8,6,1,4]
[3,7,9,8,5,6,1,4,2]=>[2,4,1,6,5,8,9,7,3]
[3,5,9,7,8,1,6,4,2]=>[2,4,6,1,8,7,9,5,3]
[3,5,9,1,8,7,6,4,2]=>[2,4,6,7,8,1,9,5,3]
[3,7,1,6,9,8,5,4,2]=>[2,4,5,8,9,6,1,7,3]
[5,1,4,8,9,7,6,3,2]=>[2,3,6,7,9,8,4,1,5]
[3,2,6,8,9,7,5,4,1]=>[1,4,5,7,9,8,6,2,3]
[3,4,1,2,7,8,9,5,6]=>[6,5,9,8,7,2,1,4,3]
[1,3,4,2,7,8,9,5,6]=>[6,5,9,8,7,2,4,3,1]
[2,1,4,3,7,8,9,5,6]=>[6,5,9,8,7,3,4,1,2]
[1,2,4,3,7,8,9,5,6]=>[6,5,9,8,7,3,4,2,1]
[2,1,4,5,3,8,9,6,7]=>[7,6,9,8,3,5,4,1,2]
[1,2,4,5,3,8,9,6,7]=>[7,6,9,8,3,5,4,2,1]
[1,3,2,5,4,8,9,6,7]=>[7,6,9,8,4,5,2,3,1]
[4,1,2,3,9,5,8,6,7]=>[7,6,8,5,9,3,2,1,4]
[3,1,2,9,4,8,5,6,7]=>[7,6,5,8,4,9,2,1,3]
[2,1,9,3,8,4,5,6,7]=>[7,6,5,4,8,3,9,1,2]
[2,4,6,7,8,9,3,1,5]=>[5,1,3,9,8,7,6,4,2]
[2,4,6,8,9,5,3,1,7]=>[7,1,3,5,9,8,6,4,2]
[2,4,6,8,9,3,1,7,5]=>[5,7,1,3,9,8,6,4,2]
[2,4,6,8,9,3,1,5,7]=>[7,5,1,3,9,8,6,4,2]
[2,4,7,9,6,5,3,1,8]=>[8,1,3,5,6,9,7,4,2]
[2,5,7,9,4,3,1,8,6]=>[6,8,1,3,4,9,7,5,2]
[2,5,7,9,4,3,1,6,8]=>[8,6,1,3,4,9,7,5,2]
[3,5,7,9,2,1,6,4,8]=>[8,4,6,1,2,9,7,5,3]
[3,5,7,9,2,1,4,6,8]=>[8,6,4,1,2,9,7,5,3]
[5,7,9,1,2,3,6,4,8]=>[8,4,6,3,2,1,9,7,5]
[5,7,9,2,3,4,1,8,6]=>[6,8,1,4,3,2,9,7,5]
[5,7,9,2,3,4,1,6,8]=>[8,6,1,4,3,2,9,7,5]
[5,7,9,2,3,1,4,6,8]=>[8,6,4,1,3,2,9,7,5]
[5,7,9,3,1,2,4,6,8]=>[8,6,4,2,1,3,9,7,5]
[7,9,3,5,2,1,6,4,8]=>[8,4,6,1,2,5,3,9,7]
[7,9,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,9,7]
[7,9,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,9,7]
[7,9,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,9,7]
[8,4,3,9,7,6,2,1,5]=>[5,1,2,6,7,9,3,4,8]
[7,8,4,9,6,3,2,1,5]=>[5,1,2,3,6,9,4,8,7]
[3,7,6,2,9,8,5,1,4]=>[4,1,5,8,9,2,6,7,3]
[6,3,8,5,9,7,2,1,4]=>[4,1,2,7,9,5,8,3,6]
[6,7,8,3,9,5,2,1,4]=>[4,1,2,5,9,3,8,7,6]
[6,2,8,5,1,9,7,4,3]=>[3,4,7,9,1,5,8,2,6]
[2,5,4,7,6,9,8,1,3]=>[3,1,8,9,6,7,4,5,2]
[5,6,7,8,2,9,4,1,3]=>[3,1,4,9,2,8,7,6,5]
[4,6,7,1,8,3,9,5,2]=>[2,5,9,3,8,1,7,6,4]
[7,5,8,6,4,3,2,1,9]=>[9,1,2,3,4,6,8,5,7]
[7,9,4,6,5,3,2,1,8]=>[8,1,2,3,5,6,4,9,7]
[4,7,8,6,5,1,9,2,3]=>[3,2,9,1,5,6,8,7,4]
[1,7,9,5,6,4,3,2,8]=>[8,2,3,4,6,5,9,7,1]
[8,4,6,7,5,3,1,9,2]=>[2,9,1,3,5,7,6,4,8]
[7,9,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,9,7]
[6,5,3,7,4,1,8,2,9]=>[9,2,8,1,4,7,3,5,6]
[3,7,8,6,1,9,5,2,4]=>[4,2,5,9,1,6,8,7,3]
[1,7,9,8,4,5,3,2,6]=>[6,2,3,5,4,8,9,7,1]
[8,5,4,3,6,2,1,7,9]=>[9,7,1,2,6,3,4,5,8]
[8,3,6,7,5,1,9,4,2]=>[2,4,9,1,5,7,6,3,8]
[5,6,7,9,2,3,4,8,1]=>[1,8,4,3,2,9,7,6,5]
[4,6,7,9,1,3,5,8,2]=>[2,8,5,3,1,9,7,6,4]
[4,5,7,9,1,2,6,8,3]=>[3,8,6,2,1,9,7,5,4]
[4,5,6,9,1,2,3,8,7]=>[7,8,3,2,1,9,6,5,4]
[5,7,8,9,1,6,4,2,3]=>[3,2,4,6,1,9,8,7,5]
[6,7,8,9,5,3,4,1,2]=>[2,1,4,3,5,9,8,7,6]
[7,8,9,6,2,4,5,1,3]=>[3,1,5,4,2,6,9,8,7]
[7,8,4,9,1,3,6,2,5]=>[5,2,6,3,1,9,4,8,7]
[5,4,8,9,1,2,6,3,7]=>[7,3,6,2,1,9,8,4,5]
[5,8,7,9,6,4,3,2,1]=>[1,2,3,4,6,9,7,8,5]
[5,7,9,4,6,8,1,2,3]=>[3,2,1,8,6,4,9,7,5]
[8,6,9,5,7,1,2,3,4]=>[4,3,2,1,7,5,9,6,8]
[3,4,7,1,5,8,9,2,6]=>[6,2,9,8,5,1,7,4,3]
[7,4,8,1,5,9,2,3,6]=>[6,3,2,9,5,1,8,4,7]
[8,9,4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4,9,8]
[7,6,4,8,5,9,1,2,3]=>[3,2,1,9,5,8,4,6,7]
[4,3,8,1,2,7,9,5,6]=>[6,5,9,7,2,1,8,3,4]
[4,9,3,7,1,6,8,2,5]=>[5,2,8,6,1,7,3,9,4]
[5,3,7,4,8,6,9,1,2]=>[2,1,9,6,8,4,7,3,5]
[6,3,1,5,9,4,8,2,7]=>[7,2,8,4,9,5,1,3,6]
[9,8,3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3,8,9]
[9,8,3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3,8,9]
[9,2,7,4,3,6,5,8,1]=>[1,8,5,6,3,4,7,2,9]
[3,6,5,2,4,7,8,9,1]=>[1,9,8,7,4,2,5,6,3]
[4,7,2,6,3,5,8,9,1]=>[1,9,8,5,3,6,2,7,4]
[2,5,4,9,8,7,3,6,1]=>[1,6,3,7,8,9,4,5,2]
[5,8,2,3,7,4,6,9,1]=>[1,9,6,4,7,3,2,8,5]
[3,6,5,9,8,2,4,7,1]=>[1,7,4,2,8,9,5,6,3]
[5,6,2,3,8,4,1,9,7]=>[7,9,1,4,8,3,2,6,5]
[4,9,6,8,3,1,5,2,7]=>[7,2,5,1,3,8,6,9,4]
[6,9,2,3,4,8,5,7,1]=>[1,7,5,8,4,3,2,9,6]
[8,6,3,1,2,5,4,7,9]=>[9,7,4,5,2,1,3,6,8]
[8,7,4,3,2,1,5,6,9]=>[9,6,5,1,2,3,4,7,8]
[8,5,4,3,2,1,6,7,9]=>[9,7,6,1,2,3,4,5,8]
[8,7,6,9,2,1,3,4,5]=>[5,4,3,1,2,9,6,7,8]
[8,7,9,3,2,1,4,5,6]=>[6,5,4,1,2,3,9,7,8]
[8,9,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,9,8]
[6,8,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,8,6]
[6,4,8,2,9,7,5,3,1]=>[1,3,5,7,9,2,8,4,6]
[6,4,2,8,9,7,5,3,1]=>[1,3,5,7,9,8,2,4,6]
[6,4,8,3,1,9,7,5,2]=>[2,5,7,9,1,3,8,4,6]
[6,8,5,3,1,9,7,4,2]=>[2,4,7,9,1,3,5,8,6]
[4,6,8,2,9,7,5,3,1]=>[1,3,5,7,9,2,8,6,4]
[2,6,4,8,9,7,5,3,1]=>[1,3,5,7,9,8,4,6,2]
[6,4,2,1,8,9,7,5,3]=>[3,5,7,9,8,1,2,4,6]
[6,4,8,3,9,7,5,2,1]=>[1,2,5,7,9,3,8,4,6]
[4,8,7,3,1,9,6,5,2]=>[2,5,6,9,1,3,7,8,4]
[9,6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6,9]
[8,6,4,2,1,5,7,3,9]=>[9,3,7,5,1,2,4,6,8]
[8,6,4,2,1,7,3,5,9]=>[9,5,3,7,1,2,4,6,8]
[1,9,7,5,3,2,6,8,4]=>[4,8,6,2,3,5,7,9,1]
[1,9,7,5,3,2,8,4,6]=>[6,4,8,2,3,5,7,9,1]
[6,4,3,2,1,9,7,5,8]=>[8,5,7,9,1,2,3,4,6]
[6,4,2,1,9,7,5,3,8]=>[8,3,5,7,9,1,2,4,6]
[5,3,2,1,8,6,4,9,7]=>[7,9,4,6,8,1,2,3,5]
[4,3,2,1,8,5,9,6,7]=>[7,6,9,5,8,1,2,3,4]
[4,3,2,1,7,5,8,9,6]=>[6,9,8,5,7,1,2,3,4]
[5,3,1,8,6,4,2,9,7]=>[7,9,2,4,6,8,1,3,5]
[4,2,1,8,5,3,9,6,7]=>[7,6,9,3,5,8,1,2,4]
[4,2,1,7,5,3,8,9,6]=>[6,9,8,3,5,7,1,2,4]
[3,2,1,7,4,8,5,9,6]=>[6,9,5,8,4,7,1,2,3]
[3,2,1,6,4,7,8,9,5]=>[5,9,8,7,4,6,1,2,3]
[4,1,8,5,2,9,6,3,7]=>[7,3,6,9,2,5,8,1,4]
[3,1,7,4,2,8,5,9,6]=>[6,9,5,8,2,4,7,1,3]
[3,1,6,4,2,7,8,9,5]=>[5,9,8,7,2,4,6,1,3]
[2,1,7,3,8,4,9,5,6]=>[6,5,9,4,8,3,7,1,2]
[2,1,6,3,7,4,8,9,5]=>[5,9,8,4,7,3,6,1,2]
[1,5,2,6,3,7,8,9,4]=>[4,9,8,7,3,6,2,5,1]
[9,8,1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1,8,9]
[1,9,8,7,6,4,3,5,2]=>[2,5,3,4,6,7,8,9,1]
[8,7,6,4,3,9,2,1,5]=>[5,1,2,9,3,4,6,7,8]
[2,3,4,6,1,5,7,9,8]=>[8,9,7,5,1,6,4,3,2]
[9,2,3,1,5,4,6,7,8]=>[8,7,6,4,5,1,3,2,9]
[2,3,6,1,4,5,7,9,8]=>[8,9,7,5,4,1,6,3,2]
[2,3,1,6,4,5,7,9,8]=>[8,9,7,5,4,6,1,3,2]
[8,1,2,3,9,5,4,6,7]=>[7,6,4,5,9,3,2,1,8]
[8,1,2,9,4,3,5,6,7]=>[7,6,5,3,4,9,2,1,8]
[4,1,2,6,3,7,5,9,8]=>[8,9,5,7,3,6,2,1,4]
[1,4,2,6,8,3,5,7,9]=>[9,7,5,3,8,6,2,4,1]
[3,9,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,9,3]
[4,9,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,9,4]
[9,5,2,3,4,6,1,7,8]=>[8,7,1,6,4,3,2,5,9]
[6,9,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,9,6]
[3,9,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,9,3]
[9,5,2,3,6,4,1,7,8]=>[8,7,1,4,6,3,2,5,9]
[3,9,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,9,3]
[6,9,2,3,4,7,5,1,8]=>[8,1,5,7,4,3,2,9,6]
[4,9,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,9,4]
[7,9,2,3,4,5,8,6,1]=>[1,6,8,5,4,3,2,9,7]
[9,5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5,9]
[6,9,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,9,6]
[9,6,8,7,4,3,2,1,5]=>[5,1,2,3,4,7,8,6,9]
[9,3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3,9]
[9,4,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,4,9]
[9,5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5,9]
[9,4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4,9]
[9,3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3,9]
[9,6,8,7,3,2,1,4,5]=>[5,4,1,2,3,7,8,6,9]
[9,2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2,9]
[1,2,5,7,9,3,4,6,8]=>[8,6,4,3,9,7,5,2,1]
[1,2,3,4,8,7,9,6,5]=>[5,6,9,7,8,4,3,2,1]
[1,2,5,7,9,3,6,8,4]=>[4,8,6,3,9,7,5,2,1]
[1,2,3,7,9,5,4,6,8]=>[8,6,4,5,9,7,3,2,1]
[1,2,6,8,4,3,5,7,9]=>[9,7,5,3,4,8,6,2,1]
[1,5,7,9,3,2,4,6,8]=>[8,6,4,2,3,9,7,5,1]
[3,5,6,4,2,7,8,9,1]=>[1,9,8,7,2,4,6,5,3]
[3,4,6,7,5,2,8,9,1]=>[1,9,8,2,5,7,6,4,3]
[3,6,5,4,2,7,8,9,1]=>[1,9,8,7,2,4,5,6,3]
[3,4,5,7,8,6,2,9,1]=>[1,9,2,6,8,7,5,4,3]
[3,4,7,6,5,2,8,9,1]=>[1,9,8,2,5,6,7,4,3]
[3,4,5,6,8,9,7,2,1]=>[1,2,7,9,8,6,5,4,3]
[3,4,5,8,7,6,2,9,1]=>[1,9,2,6,7,8,5,4,3]
[3,4,5,6,9,8,7,2,1]=>[1,2,7,8,9,6,5,4,3]
[6,2,4,5,3,7,8,9,1]=>[1,9,8,7,3,5,4,2,6]
[7,2,3,5,6,4,8,9,1]=>[1,9,8,4,6,5,3,2,7]
[6,2,5,4,3,7,8,9,1]=>[1,9,8,7,3,4,5,2,6]
[8,2,3,4,6,7,5,9,1]=>[1,9,5,7,6,4,3,2,8]
[7,2,3,6,5,4,8,9,1]=>[1,9,8,4,5,6,3,2,7]
[9,2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2,9]
[8,2,3,4,7,6,5,9,1]=>[1,9,5,6,7,4,3,2,8]
[3,4,5,6,2,8,9,1,7]=>[7,1,9,8,2,6,5,4,3]
[3,4,2,6,7,8,9,1,5]=>[5,1,9,8,7,6,2,4,3]
[3,4,5,6,8,2,9,1,7]=>[7,1,9,2,8,6,5,4,3]
[3,4,5,7,2,8,9,6,1]=>[1,6,9,8,2,7,5,4,3]
[4,5,6,7,3,2,9,1,8]=>[8,1,9,2,3,7,6,5,4]
[4,5,6,3,2,8,9,1,7]=>[7,1,9,8,2,3,6,5,4]
[3,5,2,6,7,8,9,1,4]=>[4,1,9,8,7,6,2,5,3]
[4,5,3,2,7,8,9,6,1]=>[1,6,9,8,7,2,3,5,4]
[4,3,2,6,7,8,9,1,5]=>[5,1,9,8,7,6,2,3,4]
[6,1,4,3,5,2,8,7,9]=>[9,7,8,2,5,3,4,1,6]
[8,1,3,2,6,5,7,4,9]=>[9,4,7,5,6,2,3,1,8]
[3,4,7,5,2,6,1,8,9]=>[9,8,1,6,2,5,7,4,3]
[3,4,5,6,9,2,7,8,1]=>[1,8,7,2,9,6,5,4,3]
[4,5,2,8,6,3,7,1,9]=>[9,1,7,3,6,8,2,5,4]
[3,6,5,7,9,8,4,2,1]=>[1,2,4,8,9,7,5,6,3]
[5,6,2,3,9,7,4,8,1]=>[1,8,4,7,9,3,2,6,5]
[1,3,9,2,4,5,6,8,7]=>[7,8,6,5,4,2,9,3,1]
[2,1,8,3,4,5,7,9,6]=>[6,9,7,5,4,3,8,1,2]
[2,4,1,9,3,6,7,8,5]=>[5,8,7,6,3,9,1,4,2]
[3,1,2,8,4,6,7,9,5]=>[5,9,7,6,4,8,2,1,3]
[6,7,1,2,4,3,5,9,8]=>[8,9,5,3,4,2,1,7,6]
[2,5,1,4,9,6,7,8,3]=>[3,8,7,6,9,4,1,5,2]
[1,2,4,9,3,6,8,7,5]=>[5,7,8,6,3,9,4,2,1]
[3,9,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,9,3]
[2,3,4,1,7,5,6,9,8]=>[8,9,6,5,7,1,4,3,2]
[2,3,4,7,1,5,6,9,8]=>[8,9,6,5,1,7,4,3,2]
[9,2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2,9]
[9,2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2,9]
[6,4,9,7,5,3,2,1,8]=>[8,1,2,3,5,7,9,4,6]
[8,5,9,6,4,3,2,1,7]=>[7,1,2,3,4,6,9,5,8]
[6,4,2,9,7,5,3,1,8]=>[8,1,3,5,7,9,2,4,6]
[8,5,3,9,6,4,2,1,7]=>[7,1,2,4,6,9,3,5,8]
[4,8,5,9,6,3,2,1,7]=>[7,1,2,3,6,9,5,8,4]
[7,8,4,9,5,3,2,1,6]=>[6,1,2,3,5,9,4,8,7]
[8,5,3,1,9,6,4,2,7]=>[7,2,4,6,9,1,3,5,8]
[4,8,5,2,9,6,3,1,7]=>[7,1,3,6,9,2,5,8,4]
[7,8,4,2,9,5,3,1,6]=>[6,1,3,5,9,2,4,8,7]
[7,3,8,4,9,5,2,1,6]=>[6,1,2,5,9,4,8,3,7]
[6,7,8,3,9,4,2,1,5]=>[5,1,2,4,9,3,8,7,6]
[7,3,8,4,1,9,5,2,6]=>[6,2,5,9,1,4,8,3,7]
[6,7,8,3,1,9,4,2,5]=>[5,2,4,9,1,3,8,7,6]
[2,7,3,8,4,9,5,1,6]=>[6,1,5,9,4,8,3,7,2]
[5,6,7,1,8,2,9,3,4]=>[4,3,9,2,8,1,7,6,5]
[5,2,3,6,1,4,7,8,9]=>[9,8,7,4,1,6,3,2,5]
[6,2,3,4,7,1,5,8,9]=>[9,8,5,1,7,4,3,2,6]
[7,2,3,4,5,8,1,6,9]=>[9,6,1,8,5,4,3,2,7]
[3,4,5,8,2,9,1,6,7]=>[7,6,1,9,2,8,5,4,3]
[3,4,7,2,8,9,1,6,5]=>[5,6,1,9,8,2,7,4,3]
[3,4,5,6,9,1,8,2,7]=>[7,2,8,1,9,6,5,4,3]
[3,4,5,8,9,6,1,2,7]=>[7,2,1,6,9,8,5,4,3]
[3,4,7,8,5,9,1,6,2]=>[2,6,1,9,5,8,7,4,3]
[3,4,5,9,2,6,1,7,8]=>[8,7,1,6,2,9,5,4,3]
[3,6,7,4,8,9,1,2,5]=>[5,2,1,9,8,4,7,6,3]
[3,4,8,2,5,9,1,6,7]=>[7,6,1,9,5,2,8,4,3]
[5,6,3,7,8,9,1,2,4]=>[4,2,1,9,8,7,3,6,5]
[3,7,2,4,8,9,1,6,5]=>[5,6,1,9,8,4,2,7,3]
[6,2,3,7,8,9,1,4,5]=>[5,4,1,9,8,7,3,2,6]
[4,5,6,1,2,7,9,3,8]=>[8,3,9,7,2,1,6,5,4]
[1,7,9,2,6,3,5,4,8]=>[8,4,5,3,6,2,9,7,1]
[1,9,7,8,2,6,3,5,4]=>[4,5,3,6,2,8,7,9,1]
[1,9,6,2,7,3,5,4,8]=>[8,4,5,3,7,2,6,9,1]
[1,7,2,6,9,3,5,4,8]=>[8,4,5,3,9,6,2,7,1]
[1,8,7,9,2,6,3,5,4]=>[4,5,3,6,2,9,7,8,1]
[6,7,8,5,9,3,4,2,1]=>[1,2,4,3,9,5,8,7,6]
[9,5,6,7,4,8,2,3,1]=>[1,3,2,8,4,7,6,5,9]
[7,6,8,5,9,3,4,2,1]=>[1,2,4,3,9,5,8,6,7]
[9,6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6,9]
[7,8,5,6,9,3,4,2,1]=>[1,2,4,3,9,6,5,8,7]
[7,8,6,9,3,4,2,1,5]=>[5,1,2,4,3,9,6,8,7]
[9,6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6,9]
[9,6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6,9]
[4,9,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,9,4]
[4,5,3,8,1,7,2,6,9]=>[9,6,2,7,1,8,3,5,4]
[4,5,3,6,2,8,1,7,9]=>[9,7,1,8,2,6,3,5,4]
[5,4,8,1,6,3,9,7,2]=>[2,7,9,3,6,1,8,4,5]
[9,6,3,8,1,7,2,5,4]=>[4,5,2,7,1,8,3,6,9]
[8,1,7,2,6,3,4,9,5]=>[5,9,4,3,6,2,7,1,8]
[8,1,7,2,6,9,4,3,5]=>[5,3,4,9,6,2,7,1,8]
[4,9,3,5,2,6,8,1,7]=>[7,1,8,6,2,5,3,9,4]
[4,5,3,9,2,6,1,7,8]=>[8,7,1,6,2,9,3,5,4]
[7,2,5,4,8,1,6,3,9]=>[9,3,6,1,8,4,5,2,7]
[8,1,7,2,5,6,3,4,9]=>[9,4,3,6,5,2,7,1,8]
[9,6,3,8,1,5,4,7,2]=>[2,7,4,5,1,8,3,6,9]
[4,3,9,8,1,7,2,6,5]=>[5,6,2,7,1,8,9,3,4]
[9,5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5,9]
[8,1,7,4,3,5,2,6,9]=>[9,6,2,5,3,4,7,1,8]
[8,1,7,4,2,6,9,3,5]=>[5,3,9,6,2,4,7,1,8]
[4,9,2,6,8,3,5,1,7]=>[7,1,5,3,8,6,2,9,4]
[9,2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2,9]
[9,2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2,9]
[9,1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1,9]
[9,7,6,1,2,3,4,8,5]=>[5,8,4,3,2,1,6,7,9]
[9,5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5,9]
[9,2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2,9]
[9,2,8,7,1,3,4,5,6]=>[6,5,4,3,1,7,8,2,9]
[9,2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2,9]
[9,4,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,4,9]
[9,5,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,5,9]
[9,6,3,4,5,1,7,8,2]=>[2,8,7,1,5,4,3,6,9]
[9,7,3,4,5,6,1,8,2]=>[2,8,1,6,5,4,3,7,9]
[6,7,1,3,2,5,8,9,4]=>[4,9,8,5,2,3,1,7,6]
[7,8,1,3,9,2,5,4,6]=>[6,4,5,2,9,3,1,8,7]
[7,1,8,2,4,3,6,9,5]=>[5,9,6,3,4,2,8,1,7]
[8,1,9,2,4,6,3,7,5]=>[5,7,3,6,4,2,9,1,8]
[8,9,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,9,8]
[8,1,2,9,3,5,4,7,6]=>[6,7,4,5,3,9,2,1,8]
[6,5,3,8,1,7,4,9,2]=>[2,9,4,7,1,8,3,5,6]
[5,3,6,8,1,7,4,9,2]=>[2,9,4,7,1,8,6,3,5]
[6,8,3,5,1,7,4,9,2]=>[2,9,4,7,1,5,3,8,6]
[6,8,3,5,1,9,4,7,2]=>[2,7,4,9,1,5,3,8,6]
[6,7,3,5,1,9,4,8,2]=>[2,8,4,9,1,5,3,7,6]
[7,3,5,6,1,9,4,8,2]=>[2,8,4,9,1,6,5,3,7]
[7,4,5,6,1,9,3,8,2]=>[2,8,3,9,1,6,5,4,7]
[6,8,5,3,7,1,4,9,2]=>[2,9,4,1,7,3,5,8,6]
[6,8,3,9,1,5,4,7,2]=>[2,7,4,5,1,9,3,8,6]
[6,7,3,5,1,8,4,9,2]=>[2,9,4,8,1,5,3,7,6]
[8,3,5,6,1,9,4,7,2]=>[2,7,4,9,1,6,5,3,8]
[6,7,4,5,1,9,3,8,2]=>[2,8,3,9,1,5,4,7,6]
[7,3,5,6,2,9,4,8,1]=>[1,8,4,9,2,6,5,3,7]
[2,3,1,4,5,7,8,6,9]=>[9,6,8,7,5,4,1,3,2]
[4,6,3,7,9,1,2,5,8]=>[8,5,2,1,9,7,3,6,4]
[5,1,4,6,8,2,3,7,9]=>[9,7,3,2,8,6,4,1,5]
[5,1,7,3,4,9,2,6,8]=>[8,6,2,9,4,3,7,1,5]
[6,2,1,5,7,9,3,4,8]=>[8,4,3,9,7,5,1,2,6]
[1,9,2,7,3,8,4,5,6]=>[6,5,4,8,3,7,2,9,1]
[1,9,2,7,3,5,4,8,6]=>[6,8,4,5,3,7,2,9,1]
[1,7,2,9,3,5,4,8,6]=>[6,8,4,5,3,9,2,7,1]
[1,8,4,7,2,9,3,5,6]=>[6,5,3,9,2,7,4,8,1]
[1,8,4,7,2,9,3,6,5]=>[5,6,3,9,2,7,4,8,1]
[1,9,2,7,6,3,8,4,5]=>[5,4,8,3,6,7,2,9,1]
[1,9,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,9,1]
[1,7,2,5,3,9,4,8,6]=>[6,8,4,9,3,5,2,7,1]
[1,9,2,8,4,7,3,5,6]=>[6,5,3,7,4,8,2,9,1]
[1,7,2,9,3,6,5,4,8]=>[8,4,5,6,3,9,2,7,1]
[1,8,3,5,4,7,2,9,6]=>[6,9,2,7,4,5,3,8,1]
[1,2,7,8,9,3,4,5,6]=>[6,5,4,3,9,8,7,2,1]
[2,1,8,7,6,5,9,4,3]=>[3,4,9,5,6,7,8,1,2]
[4,5,6,2,7,8,9,1,3]=>[3,1,9,8,7,2,6,5,4]
[4,2,3,6,7,8,9,1,5]=>[5,1,9,8,7,6,3,2,4]
[4,5,2,3,7,8,9,1,6]=>[6,1,9,8,7,3,2,5,4]
[4,5,6,2,3,8,9,1,7]=>[7,1,9,8,3,2,6,5,4]
[4,5,6,7,2,3,9,1,8]=>[8,1,9,3,2,7,6,5,4]
[9,8,3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3,8,9]
[7,8,9,3,4,5,6,1,2]=>[2,1,6,5,4,3,9,8,7]
[6,7,8,9,2,1,4,5,3]=>[3,5,4,1,2,9,8,7,6]
[4,6,7,8,9,2,3,5,1]=>[1,5,3,2,9,8,7,6,4]
[5,7,9,8,1,2,4,6,3]=>[3,6,4,2,1,8,9,7,5]
[5,8,6,9,1,2,3,7,4]=>[4,7,3,2,1,9,6,8,5]
[8,7,1,3,4,5,6,9,2]=>[2,9,6,5,4,3,1,7,8]
[2,9,8,1,4,5,6,7,3]=>[3,7,6,5,4,1,8,9,2]
[8,2,7,1,4,5,6,9,3]=>[3,9,6,5,4,1,7,2,8]
[8,6,1,3,4,5,7,9,2]=>[2,9,7,5,4,3,1,6,8]
[2,9,3,8,1,5,6,7,4]=>[4,7,6,5,1,8,3,9,2]
[2,9,7,1,4,5,6,8,3]=>[3,8,6,5,4,1,7,9,2]
[8,2,3,7,1,5,6,9,4]=>[4,9,6,5,1,7,3,2,8]
[8,7,6,1,2,4,5,9,3]=>[3,9,5,4,2,1,6,7,8]
[8,5,1,3,4,6,7,9,2]=>[2,9,7,6,4,3,1,5,8]
[2,9,3,4,8,1,6,7,5]=>[5,7,6,1,8,4,3,9,2]
[2,9,8,7,1,3,5,6,4]=>[4,6,5,3,1,7,8,9,2]
[2,9,6,1,4,5,7,8,3]=>[3,8,7,5,4,1,6,9,2]
[8,3,4,5,6,9,2,1,7]=>[7,1,2,9,6,5,4,3,8]
[7,3,4,5,6,9,8,2,1]=>[1,2,8,9,6,5,4,3,7]
[7,1,4,8,2,5,9,3,6]=>[6,3,9,5,2,8,4,1,7]
[6,2,7,3,8,4,9,1,5]=>[5,1,9,4,8,3,7,2,6]
[8,2,6,3,7,4,9,1,5]=>[5,1,9,4,7,3,6,2,8]
[8,2,7,5,3,9,1,6,4]=>[4,6,1,9,3,5,7,2,8]
[7,2,8,3,9,1,6,5,4]=>[4,5,6,1,9,3,8,2,7]
[8,2,7,3,9,1,6,5,4]=>[4,5,6,1,9,3,7,2,8]
[4,5,6,9,1,7,2,8,3]=>[3,8,2,7,1,9,6,5,4]
[4,5,6,8,2,9,1,7,3]=>[3,7,1,9,2,8,6,5,4]
[8,2,9,1,7,4,5,6,3]=>[3,6,5,4,7,1,9,2,8]
[6,4,5,8,2,9,1,7,3]=>[3,7,1,9,2,8,5,4,6]
[7,3,6,5,4,9,1,8,2]=>[2,8,1,9,4,5,6,3,7]
[5,7,3,6,4,9,1,8,2]=>[2,8,1,9,4,6,3,7,5]
[5,6,9,1,2,3,4,8,7]=>[7,8,4,3,2,1,9,6,5]
[3,4,5,6,9,1,2,8,7]=>[7,8,2,1,9,6,5,4,3]
[9,8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8,9]
[6,4,9,1,2,3,8,5,7]=>[7,5,8,3,2,1,9,4,6]
[5,3,8,1,2,6,9,4,7]=>[7,4,9,6,2,1,8,3,5]
[4,2,5,6,9,1,8,3,7]=>[7,3,8,1,9,6,5,2,4]
[7,5,9,1,2,3,4,8,6]=>[6,8,4,3,2,1,9,5,7]
[4,9,6,1,2,3,5,8,7]=>[7,8,5,3,2,1,6,9,4]
[3,8,5,1,2,4,6,9,7]=>[7,9,6,4,2,1,5,8,3]
[2,5,3,6,9,1,4,8,7]=>[7,8,4,1,9,6,3,5,2]
[6,9,8,1,2,4,3,5,7]=>[7,5,3,4,2,1,8,9,6]
[1,4,2,5,6,9,3,8,7]=>[7,8,3,9,6,5,2,4,1]
[5,8,6,1,2,9,3,4,7]=>[7,4,3,9,2,1,6,8,5]
[4,5,1,6,9,8,2,3,7]=>[7,3,2,8,9,6,1,5,4]
[4,3,6,1,8,5,9,7,2]=>[2,7,9,5,8,1,6,3,4]
[4,6,5,3,8,1,9,7,2]=>[2,7,9,1,8,3,5,6,4]
[4,6,8,3,7,5,9,1,2]=>[2,1,9,5,7,3,8,6,4]
[4,6,8,3,9,5,7,1,2]=>[2,1,7,5,9,3,8,6,4]
[4,6,7,3,9,5,1,8,2]=>[2,8,1,5,9,3,7,6,4]
[4,5,7,3,1,9,6,8,2]=>[2,8,6,9,1,3,7,5,4]
[3,5,1,7,4,9,6,8,2]=>[2,8,6,9,4,7,1,5,3]
[4,3,6,5,8,1,9,7,2]=>[2,7,9,1,8,5,6,3,4]
[4,6,5,3,8,7,9,1,2]=>[2,1,9,7,8,3,5,6,4]
[4,6,8,3,7,5,1,9,2]=>[2,9,1,5,7,3,8,6,4]
[4,6,7,3,8,5,1,9,2]=>[2,9,1,5,8,3,7,6,4]
[4,5,8,3,1,9,7,6,2]=>[2,6,7,9,1,3,8,5,4]
[3,6,1,7,9,5,4,8,2]=>[2,8,4,5,9,7,1,6,3]
[4,5,7,3,2,9,6,8,1]=>[1,8,6,9,2,3,7,5,4]
[7,4,3,2,5,1,6,8,9]=>[9,8,6,1,5,2,3,4,7]
[7,4,3,5,2,6,8,9,1]=>[1,9,8,6,2,5,3,4,7]
[9,7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7,9]
[9,7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7,9]
[7,8,4,3,2,5,1,6,9]=>[9,6,1,5,2,3,4,8,7]
[8,5,4,2,3,6,1,7,9]=>[9,7,1,6,3,2,4,5,8]
[7,8,4,3,5,2,6,9,1]=>[1,9,6,2,5,3,4,8,7]
[8,7,6,5,1,4,9,3,2]=>[2,3,9,4,1,5,6,7,8]
[8,7,6,1,4,9,2,3,5]=>[5,3,2,9,4,1,6,7,8]
[8,7,1,5,9,3,2,4,6]=>[6,4,2,3,9,5,1,7,8]
[8,1,7,9,5,4,3,6,2]=>[2,6,3,4,5,9,7,1,8]
[1,7,9,5,4,3,2,6,8]=>[8,6,2,3,4,5,9,7,1]
[8,7,6,4,3,5,1,2,9]=>[9,2,1,5,3,4,6,7,8]
[8,7,6,1,5,9,4,3,2]=>[2,3,4,9,5,1,6,7,8]
[8,7,5,4,1,6,3,9,2]=>[2,9,3,6,1,4,5,7,8]
[8,7,1,5,9,6,2,3,4]=>[4,3,2,6,9,5,1,7,8]
[8,1,6,9,7,3,2,4,5]=>[5,4,2,3,7,9,6,1,8]
[7,6,8,4,3,2,1,5,9]=>[9,5,1,2,3,4,8,6,7]
[1,8,9,7,5,4,3,6,2]=>[2,6,3,4,5,7,9,8,1]
[7,9,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,9,7]
[1,2,9,4,5,6,3,7,8]=>[8,7,3,6,5,4,9,2,1]
[7,4,5,6,9,1,8,3,2]=>[2,3,8,1,9,6,5,4,7]
[8,9,3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3,9,8]
[3,4,5,8,1,9,7,2,6]=>[6,2,7,9,1,8,5,4,3]
[8,2,4,5,6,9,3,1,7]=>[7,1,3,9,6,5,4,2,8]
[6,4,5,9,1,7,8,3,2]=>[2,3,8,7,1,9,5,4,6]
[8,3,9,4,6,7,5,1,2]=>[2,1,5,7,6,4,9,3,8]
[3,4,8,1,6,9,7,2,5]=>[5,2,7,9,6,1,8,4,3]
[1,4,5,7,2,8,9,3,6]=>[6,3,9,8,2,7,5,4,1]
[2,8,3,5,6,9,4,1,7]=>[7,1,4,9,6,5,3,8,2]
[1,9,2,8,6,3,5,4,7]=>[7,4,5,3,6,8,2,9,1]
[9,1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1,9]
[9,1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1,9]
[9,1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1,9]
[1,9,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,9,1]
[1,9,7,5,2,3,6,4,8]=>[8,4,6,3,2,5,7,9,1]
[8,6,1,2,7,3,5,4,9]=>[9,4,5,3,7,2,1,6,8]
[8,1,9,2,6,3,5,4,7]=>[7,4,5,3,6,2,9,1,8]
[9,1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1,9]
[9,1,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,1,9]
[5,9,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,9,5]
[9,5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5,9]
[3,1,6,5,7,4,9,8,2]=>[2,8,9,4,7,5,6,1,3]
[2,6,5,9,1,4,8,3,7]=>[7,3,8,4,1,9,5,6,2]
[2,6,5,9,7,1,8,4,3]=>[3,4,8,1,7,9,5,6,2]
[6,5,9,7,4,1,3,8,2]=>[2,8,3,1,4,7,9,5,6]
[2,7,1,5,9,4,8,3,6]=>[6,3,8,4,9,5,1,7,2]
[2,9,6,4,7,1,8,5,3]=>[3,5,8,1,7,4,6,9,2]
[6,5,8,2,4,9,3,1,7]=>[7,1,3,9,4,2,8,5,6]
[4,1,5,2,6,7,8,9,3]=>[3,9,8,7,6,2,5,1,4]
[1,8,3,2,4,7,5,6,9]=>[9,6,5,7,4,2,3,8,1]
[1,3,8,2,4,7,5,6,9]=>[9,6,5,7,4,2,8,3,1]
[1,8,9,2,3,4,7,5,6]=>[6,5,7,4,3,2,9,8,1]
[1,8,3,9,7,4,2,5,6]=>[6,5,2,4,7,9,3,8,1]
[1,4,7,9,3,8,2,5,6]=>[6,5,2,8,3,9,7,4,1]
[1,3,2,9,8,4,7,5,6]=>[6,5,7,4,8,9,2,3,1]
[1,8,3,2,4,7,9,5,6]=>[6,5,9,7,4,2,3,8,1]
[1,8,7,4,2,3,5,6,9]=>[9,6,5,3,2,4,7,8,1]
[1,8,3,9,6,5,2,4,7]=>[7,4,2,5,6,9,3,8,1]
[1,5,6,9,3,8,2,4,7]=>[7,4,2,8,3,9,6,5,1]
[1,4,7,8,2,3,5,6,9]=>[9,6,5,3,2,8,7,4,1]
[1,3,8,2,9,7,4,5,6]=>[6,5,4,7,9,2,8,3,1]
[6,5,2,4,3,1,9,8,7]=>[7,8,9,1,3,4,2,5,6]
[1,4,2,5,6,7,9,3,8]=>[8,3,9,7,6,5,2,4,1]
[1,2,3,6,4,7,9,5,8]=>[8,5,9,7,4,6,3,2,1]
[4,1,5,6,7,9,2,3,8]=>[8,3,2,9,7,6,5,1,4]
[1,5,2,6,7,9,3,4,8]=>[8,4,3,9,7,6,2,5,1]
[1,2,6,3,7,9,4,5,8]=>[8,5,4,9,7,3,6,2,1]
[1,2,3,7,4,9,5,6,8]=>[8,6,5,9,4,7,3,2,1]
[8,3,1,4,5,6,7,2,9]=>[9,2,7,6,5,4,1,3,8]
[2,1,8,7,6,5,4,9,3]=>[3,9,4,5,6,7,8,1,2]
[3,2,1,8,7,6,9,5,4]=>[4,5,9,6,7,8,1,2,3]
[4,3,2,1,8,7,9,6,5]=>[5,6,9,7,8,1,2,3,4]
[9,8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8,9]
[1,2,4,8,9,3,5,6,7]=>[7,6,5,3,9,8,4,2,1]
[6,5,7,8,1,2,3,9,4]=>[4,9,3,2,1,8,7,5,6]
[6,5,8,9,1,2,3,7,4]=>[4,7,3,2,1,9,8,5,6]
[5,6,8,9,1,2,7,4,3]=>[3,4,7,2,1,9,8,6,5]
[5,6,7,8,1,2,4,9,3]=>[3,9,4,2,1,8,7,6,5]
[6,5,7,4,8,3,1,9,2]=>[2,9,1,3,8,4,7,5,6]
[2,6,5,7,4,9,1,8,3]=>[3,8,1,9,4,7,5,6,2]
[3,4,5,6,8,7,1,9,2]=>[2,9,1,7,8,6,5,4,3]
[3,4,5,7,6,1,8,9,2]=>[2,9,8,1,6,7,5,4,3]
[3,4,6,5,1,7,8,9,2]=>[2,9,8,7,1,5,6,4,3]
[3,4,5,6,9,1,8,7,2]=>[2,7,8,1,9,6,5,4,3]
[3,4,5,8,1,7,6,9,2]=>[2,9,6,7,1,8,5,4,3]
[3,4,7,1,6,5,8,9,2]=>[2,9,8,5,6,1,7,4,3]
[3,6,1,5,4,7,8,9,2]=>[2,9,8,7,4,5,1,6,3]
[5,7,4,8,9,3,2,1,6]=>[6,1,2,3,9,8,4,7,5]
[4,7,6,3,8,9,2,1,5]=>[5,1,2,9,8,3,6,7,4]
[2,7,6,5,4,1,8,9,3]=>[3,9,8,1,4,5,6,7,2]
[7,8,5,4,6,3,2,1,9]=>[9,1,2,3,6,4,5,8,7]
[7,6,4,9,3,5,2,1,8]=>[8,1,2,5,3,9,4,6,7]
[4,7,8,3,9,6,2,1,5]=>[5,1,2,6,9,3,8,7,4]
[7,6,5,8,3,2,4,1,9]=>[9,1,4,2,3,8,5,6,7]
[3,7,6,8,2,9,5,1,4]=>[4,1,5,9,2,8,6,7,3]
[7,6,5,4,8,2,1,3,9]=>[9,3,1,2,8,4,5,6,7]
[2,9,7,6,5,8,1,4,3]=>[3,4,1,8,5,6,7,9,2]
[7,6,5,4,8,9,1,3,2]=>[2,3,1,9,8,4,5,6,7]
[6,5,4,3,9,7,2,8,1]=>[1,8,2,7,9,3,4,5,6]
[5,4,3,2,9,6,1,8,7]=>[7,8,1,6,9,2,3,4,5]
[8,1,9,2,4,5,6,7,3]=>[3,7,6,5,4,2,9,1,8]
[8,1,2,9,3,5,6,7,4]=>[4,7,6,5,3,9,2,1,8]
[8,1,2,3,9,4,6,7,5]=>[5,7,6,4,9,3,2,1,8]
[3,9,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,9,3]
[4,1,9,3,8,5,6,7,2]=>[2,7,6,5,8,3,9,1,4]
[5,1,2,9,4,8,6,7,3]=>[3,7,6,8,4,9,2,1,5]
[6,1,2,3,9,5,8,7,4]=>[4,7,8,5,9,3,2,1,6]
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]
[3,4,1,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,1,4,3]
[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]
[6,3,2,5,4,1,8,7,10,9]=>[9,10,7,8,1,4,5,2,3,6]
[8,3,2,5,4,7,6,1,10,9]=>[9,10,1,6,7,4,5,2,3,8]
[10,3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3,10]
[6,4,5,2,3,1,8,7,10,9]=>[9,10,7,8,1,3,2,5,4,6]
[4,5,6,1,2,3,8,7,10,9]=>[9,10,7,8,3,2,1,6,5,4]
[3,5,1,6,2,4,8,7,10,9]=>[9,10,7,8,4,2,6,1,5,3]
[2,1,5,6,3,4,8,7,10,9]=>[9,10,7,8,4,3,6,5,1,2]
[2,1,6,5,4,3,8,7,10,9]=>[9,10,7,8,3,4,5,6,1,2]
[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]
[8,5,4,3,2,7,6,1,10,9]=>[9,10,1,6,7,2,3,4,5,8]
[10,5,4,3,2,7,6,9,8,1]=>[1,8,9,6,7,2,3,4,5,10]
[2,1,8,5,4,7,6,3,10,9]=>[9,10,3,6,7,4,5,8,1,2]
[8,7,4,3,6,5,2,1,10,9]=>[9,10,1,2,5,6,3,4,7,8]
[9,7,4,3,6,5,2,10,1,8]=>[8,1,10,2,5,6,3,4,7,9]
[10,7,4,3,6,5,2,9,8,1]=>[1,8,9,2,5,6,3,4,7,10]
[2,1,10,5,4,7,6,9,8,3]=>[3,8,9,6,7,4,5,10,1,2]
[10,9,4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4,9,10]
[8,9,5,6,3,4,10,1,2,7]=>[7,2,1,10,4,3,6,5,9,8]
[2,1,8,6,7,4,5,3,10,9]=>[9,10,3,5,4,7,6,8,1,2]
[5,6,7,8,1,2,3,4,10,9]=>[9,10,4,3,2,1,8,7,6,5]
[4,6,7,1,8,2,3,5,10,9]=>[9,10,5,3,2,8,1,7,6,4]
[3,6,1,7,8,2,4,5,10,9]=>[9,10,5,4,2,8,7,1,6,3]
[2,1,6,7,8,3,4,5,10,9]=>[9,10,5,4,3,8,7,6,1,2]
[2,1,5,7,3,8,4,6,10,9]=>[9,10,6,4,8,3,7,5,1,2]
[3,5,1,7,2,8,4,6,10,9]=>[9,10,6,4,8,2,7,1,5,3]
[4,5,7,1,2,8,3,6,10,9]=>[9,10,6,3,8,2,1,7,5,4]
[3,4,1,2,7,8,5,6,10,9]=>[9,10,6,5,8,7,2,1,4,3]
[2,1,4,3,7,8,5,6,10,9]=>[9,10,6,5,8,7,3,4,1,2]
[2,1,4,3,8,7,6,5,10,9]=>[9,10,5,6,7,8,3,4,1,2]
[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]
[8,3,2,7,6,5,4,1,10,9]=>[9,10,1,4,5,6,7,2,3,8]
[10,3,2,7,6,5,4,9,8,1]=>[1,8,9,4,5,6,7,2,3,10]
[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]
[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]
[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]
[10,7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7,10]
[2,1,10,7,6,5,4,9,8,3]=>[3,8,9,4,5,6,7,10,1,2]
[10,9,6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6,9,10]
[4,3,2,1,9,7,6,10,5,8]=>[8,5,10,6,7,9,1,2,3,4]
[2,1,4,3,10,7,6,9,8,5]=>[5,8,9,6,7,10,3,4,1,2]
[4,3,2,1,10,7,6,9,8,5]=>[5,8,9,6,7,10,1,2,3,4]
[10,3,2,9,6,5,8,7,4,1]=>[1,4,7,8,5,6,9,2,3,10]
[2,1,10,9,6,5,8,7,4,3]=>[3,4,7,8,5,6,9,10,1,2]
[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]
[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]
[8,5,10,7,2,9,4,1,6,3]=>[3,6,1,4,9,2,7,10,5,8]
[2,1,4,3,10,8,9,6,7,5]=>[5,7,6,9,8,10,3,4,1,2]
[7,6,9,8,10,2,1,4,3,5]=>[5,3,4,1,2,10,8,9,6,7]
[6,7,9,8,10,1,2,4,3,5]=>[5,3,4,2,1,10,8,9,7,6]
[6,8,9,7,10,1,4,2,3,5]=>[5,3,2,4,1,10,7,9,8,6]
[7,8,9,6,10,4,1,2,3,5]=>[5,3,2,1,4,10,6,9,8,7]
[8,7,9,6,10,4,2,1,3,5]=>[5,3,1,2,4,10,6,9,7,8]
[9,8,7,6,10,4,3,2,1,5]=>[5,1,2,3,4,10,6,7,8,9]
[8,9,7,6,10,4,3,1,2,5]=>[5,2,1,3,4,10,6,7,9,8]
[7,9,8,6,10,4,1,3,2,5]=>[5,2,3,1,4,10,6,8,9,7]
[6,9,8,7,10,1,4,3,2,5]=>[5,2,3,4,1,10,7,8,9,6]
[8,9,6,7,10,3,4,1,2,5]=>[5,2,1,4,3,10,7,6,9,8]
[8,7,6,9,10,3,2,1,4,5]=>[5,4,1,2,3,10,9,6,7,8]
[7,8,6,9,10,3,1,2,4,5]=>[5,4,2,1,3,10,9,6,8,7]
[6,8,7,9,10,1,3,2,4,5]=>[5,4,2,3,1,10,9,7,8,6]
[2,1,7,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,7,1,2]
[3,7,1,8,9,10,2,4,5,6]=>[6,5,4,2,10,9,8,1,7,3]
[4,7,8,1,9,10,2,3,5,6]=>[6,5,3,2,10,9,1,8,7,4]
[5,7,8,9,1,10,2,3,4,6]=>[6,4,3,2,10,1,9,8,7,5]
[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]
[7,6,8,9,10,2,1,3,4,5]=>[5,4,3,1,2,10,9,8,6,7]
[5,6,8,9,1,2,10,3,4,7]=>[7,4,3,10,2,1,9,8,6,5]
[4,6,8,1,9,2,10,3,5,7]=>[7,5,3,10,2,9,1,8,6,4]
[3,6,1,8,9,2,10,4,5,7]=>[7,5,4,10,2,9,8,1,6,3]
[2,1,6,8,9,3,10,4,5,7]=>[7,5,4,10,3,9,8,6,1,2]
[2,1,5,8,3,9,10,4,6,7]=>[7,6,4,10,9,3,8,5,1,2]
[3,5,1,8,2,9,10,4,6,7]=>[7,6,4,10,9,2,8,1,5,3]
[4,5,8,1,2,9,10,3,6,7]=>[7,6,3,10,9,2,1,8,5,4]
[7,3,2,8,9,10,1,4,5,6]=>[6,5,4,1,10,9,8,2,3,7]
[3,4,1,2,8,9,10,5,6,7]=>[7,6,5,10,9,8,2,1,4,3]
[2,1,4,3,8,9,10,5,6,7]=>[7,6,5,10,9,8,3,4,1,2]
[2,1,4,3,7,9,5,10,6,8]=>[8,6,10,5,9,7,3,4,1,2]
[3,4,1,2,7,9,5,10,6,8]=>[8,6,10,5,9,7,2,1,4,3]
[4,5,7,1,2,9,3,10,6,8]=>[8,6,10,3,9,2,1,7,5,4]
[3,5,1,7,2,9,4,10,6,8]=>[8,6,10,4,9,2,7,1,5,3]
[2,1,5,7,3,9,4,10,6,8]=>[8,6,10,4,9,3,7,5,1,2]
[2,1,6,7,9,3,4,10,5,8]=>[8,5,10,4,3,9,7,6,1,2]
[3,6,1,7,9,2,4,10,5,8]=>[8,5,10,4,2,9,7,1,6,3]
[4,6,7,1,9,2,3,10,5,8]=>[8,5,10,3,2,9,1,7,6,4]
[5,6,7,9,1,2,3,10,4,8]=>[8,4,10,3,2,1,9,7,6,5]
[7,6,4,3,9,2,1,10,5,8]=>[8,5,10,1,2,9,3,4,6,7]
[8,5,4,3,2,9,10,1,6,7]=>[7,6,1,10,9,2,3,4,5,8]
[2,1,5,6,3,4,9,10,7,8]=>[8,7,10,9,4,3,6,5,1,2]
[3,5,1,6,2,4,9,10,7,8]=>[8,7,10,9,4,2,6,1,5,3]
[4,5,6,1,2,3,9,10,7,8]=>[8,7,10,9,3,2,1,6,5,4]
[3,4,1,2,6,5,9,10,7,8]=>[8,7,10,9,5,6,2,1,4,3]
[2,1,4,3,6,5,9,10,7,8]=>[8,7,10,9,5,6,3,4,1,2]
[2,1,4,3,6,5,10,9,8,7]=>[7,8,9,10,5,6,3,4,1,2]
[4,3,2,1,6,5,10,9,8,7]=>[7,8,9,10,5,6,1,2,3,4]
[6,3,2,5,4,1,10,9,8,7]=>[7,8,9,10,1,4,5,2,3,6]
[10,3,2,5,4,9,8,7,6,1]=>[1,6,7,8,9,4,5,2,3,10]
[2,1,6,5,4,3,10,9,8,7]=>[7,8,9,10,3,4,5,6,1,2]
[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]
[7,5,4,3,2,10,1,9,8,6]=>[6,8,9,1,10,2,3,4,5,7]
[8,5,4,3,2,10,9,1,7,6]=>[6,7,1,9,10,2,3,4,5,8]
[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]
[8,6,4,3,10,2,9,1,7,5]=>[5,7,1,9,2,10,3,4,6,8]
[7,6,4,3,10,2,1,9,8,5]=>[5,8,9,1,2,10,3,4,6,7]
[8,7,4,3,10,9,2,1,6,5]=>[5,6,1,2,9,10,3,4,7,8]
[10,7,4,3,9,8,2,6,5,1]=>[1,5,6,2,8,9,3,4,7,10]
[9,8,4,3,10,7,6,2,1,5]=>[5,1,2,6,7,10,3,4,8,9]
[2,1,10,5,4,9,8,7,6,3]=>[3,6,7,8,9,4,5,10,1,2]
[10,9,4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4,9,10]
[8,10,5,9,3,7,6,1,4,2]=>[2,4,1,6,7,3,9,5,10,8]
[7,10,5,9,3,8,1,6,4,2]=>[2,4,6,1,8,3,9,5,10,7]
[9,7,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,7,9]
[5,6,7,10,1,2,3,9,8,4]=>[4,8,9,3,2,1,10,7,6,5]
[7,6,8,10,9,2,1,3,5,4]=>[4,5,3,1,2,9,10,8,6,7]
[6,7,8,10,9,1,2,3,5,4]=>[4,5,3,2,1,9,10,8,7,6]
[6,8,7,10,9,1,3,2,5,4]=>[4,5,2,3,1,9,10,7,8,6]
[7,8,6,10,9,3,1,2,5,4]=>[4,5,2,1,3,9,10,6,8,7]
[8,7,6,10,9,3,2,1,5,4]=>[4,5,1,2,3,9,10,6,7,8]
[10,9,7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7,9,10]
[6,9,8,10,7,1,5,3,2,4]=>[4,2,3,5,1,7,10,8,9,6]
[7,9,8,10,6,5,1,3,2,4]=>[4,2,3,1,5,6,10,8,9,7]
[8,9,7,10,6,5,3,1,2,4]=>[4,2,1,3,5,6,10,7,9,8]
[9,8,7,10,6,5,3,2,1,4]=>[4,1,2,3,5,6,10,7,8,9]
[10,7,8,9,6,5,2,3,4,1]=>[1,4,3,2,5,6,9,8,7,10]
[8,7,9,10,6,5,2,1,3,4]=>[4,3,1,2,5,6,10,9,7,8]
[7,8,9,10,6,5,1,2,3,4]=>[4,3,2,1,5,6,10,9,8,7]
[6,8,9,10,7,1,5,2,3,4]=>[4,3,2,5,1,7,10,9,8,6]
[6,7,9,10,8,1,2,5,3,4]=>[4,3,5,2,1,8,10,9,7,6]
[7,6,9,10,8,2,1,5,3,4]=>[4,3,5,1,2,8,10,9,6,7]
[2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]
[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]
[5,3,2,10,1,9,8,7,6,4]=>[4,6,7,8,9,1,10,2,3,5]
[6,3,2,10,9,1,8,7,5,4]=>[4,5,7,8,1,9,10,2,3,6]
[7,3,2,10,9,8,1,6,5,4]=>[4,5,6,1,8,9,10,2,3,7]
[8,3,2,10,9,7,6,1,5,4]=>[4,5,1,6,7,9,10,2,3,8]
[10,3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3,10]
[10,4,9,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,9,4,10]
[7,4,10,2,9,8,1,6,5,3]=>[3,5,6,1,8,9,2,10,4,7]
[6,4,10,2,9,1,8,7,5,3]=>[3,5,7,8,1,9,2,10,4,6]
[4,5,10,1,2,9,8,7,6,3]=>[3,6,7,8,9,2,1,10,5,4]
[6,5,10,9,2,1,8,7,4,3]=>[3,4,7,8,1,2,9,10,5,6]
[8,5,10,9,2,7,6,1,4,3]=>[3,4,1,6,7,2,9,10,5,8]
[7,6,10,9,8,2,1,5,4,3]=>[3,4,5,1,2,8,9,10,6,7]
[6,7,10,9,8,1,2,5,4,3]=>[3,4,5,2,1,8,9,10,7,6]
[6,8,10,9,7,1,5,2,4,3]=>[3,4,2,5,1,7,9,10,8,6]
[7,8,10,9,6,5,1,2,4,3]=>[3,4,2,1,5,6,9,10,8,7]
[8,7,10,9,6,5,2,1,4,3]=>[3,4,1,2,5,6,9,10,7,8]
[9,8,10,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,10,8,9]
[8,9,10,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,10,9,8]
[7,9,10,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,10,9,7]
[6,9,10,8,7,1,5,4,2,3]=>[3,2,4,5,1,7,8,10,9,6]
[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]
[3,10,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,10,3]
[4,10,9,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,9,10,4]
[5,10,9,8,1,7,6,4,3,2]=>[2,3,4,6,7,1,8,9,10,5]
[6,10,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,10,6]
[7,10,9,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,9,10,7]
[8,10,9,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,9,10,8]
[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]
[3,4,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,4,3]
[3,5,2,6,4,1,8,7,10,9]=>[9,10,7,8,1,4,6,2,5,3]
[3,5,2,7,4,8,6,1,10,9]=>[9,10,1,6,8,4,7,2,5,3]
[3,5,2,7,4,9,6,10,8,1]=>[1,8,10,6,9,4,7,2,5,3]
[2,1,5,6,4,3,8,7,10,9]=>[9,10,7,8,3,4,6,5,1,2]
[4,5,6,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,6,5,4]
[4,5,7,3,2,8,6,1,10,9]=>[9,10,1,6,8,2,3,7,5,4]
[4,5,7,3,2,9,6,10,8,1]=>[1,8,10,6,9,2,3,7,5,4]
[2,1,5,7,4,8,6,3,10,9]=>[9,10,3,6,8,4,7,5,1,2]
[4,6,7,3,8,5,2,1,10,9]=>[9,10,1,2,5,8,3,7,6,4]
[4,6,7,3,9,5,2,10,8,1]=>[1,8,10,2,5,9,3,7,6,4]
[2,1,5,7,4,9,6,10,8,3]=>[3,8,10,6,9,4,7,5,1,2]
[3,5,1,7,4,9,6,10,8,2]=>[2,8,10,6,9,4,7,1,5,3]
[4,5,7,3,1,9,6,10,8,2]=>[2,8,10,6,9,1,3,7,5,4]
[4,6,7,3,9,5,1,10,8,2]=>[2,8,10,1,5,9,3,7,6,4]
[4,6,8,3,9,5,10,7,1,2]=>[2,1,7,10,5,9,3,8,6,4]
[4,6,8,3,9,5,10,7,2,1]=>[1,2,7,10,5,9,3,8,6,4]
[2,1,4,3,7,8,6,5,10,9]=>[9,10,5,6,8,7,3,4,1,2]
[3,4,2,1,7,8,6,5,10,9]=>[9,10,5,6,8,7,1,2,4,3]
[3,6,2,7,8,5,4,1,10,9]=>[9,10,1,4,5,8,7,2,6,3]
[3,6,2,7,9,5,4,10,8,1]=>[1,8,10,4,5,9,7,2,6,3]
[2,1,6,7,8,5,4,3,10,9]=>[9,10,3,4,5,8,7,6,1,2]
[5,6,7,8,4,3,2,1,10,9]=>[9,10,1,2,3,4,8,7,6,5]
[5,6,7,9,4,3,2,10,8,1]=>[1,8,10,2,3,4,9,7,6,5]
[2,1,6,7,9,5,4,10,8,3]=>[3,8,10,4,5,9,7,6,1,2]
[5,6,8,9,4,3,10,7,2,1]=>[1,2,7,10,3,4,9,8,6,5]
[2,1,4,3,7,9,6,10,8,5]=>[5,8,10,6,9,7,3,4,1,2]
[3,4,1,2,7,9,6,10,8,5]=>[5,8,10,6,9,7,2,1,4,3]
[3,4,2,1,7,9,6,10,8,5]=>[5,8,10,6,9,7,1,2,4,3]
[3,6,2,8,9,5,10,7,4,1]=>[1,4,7,10,5,9,8,2,6,3]
[2,1,6,8,9,5,10,7,4,3]=>[3,4,7,10,5,9,8,6,1,2]
[5,7,8,9,4,10,6,3,2,1]=>[1,2,3,6,10,4,9,8,7,5]
[6,7,8,9,10,4,5,3,2,1]=>[1,2,3,5,4,10,9,8,7,6]
[6,7,8,9,10,1,4,5,2,3]=>[3,2,5,4,1,10,9,8,7,6]
[6,7,8,9,10,4,5,2,3,1]=>[1,3,2,5,4,10,9,8,7,6]
[6,7,8,9,10,1,4,2,5,3]=>[3,5,2,4,1,10,9,8,7,6]
[6,7,8,9,10,1,2,4,5,3]=>[3,5,4,2,1,10,9,8,7,6]
[6,7,8,9,10,4,1,2,3,5]=>[5,3,2,1,4,10,9,8,7,6]
[6,7,8,9,10,4,3,2,1,5]=>[5,1,2,3,4,10,9,8,7,6]
[6,7,8,9,10,3,4,5,2,1]=>[1,2,5,4,3,10,9,8,7,6]
[6,7,8,9,10,3,4,5,1,2]=>[2,1,5,4,3,10,9,8,7,6]
[6,7,8,9,10,1,3,4,5,2]=>[2,5,4,3,1,10,9,8,7,6]
[6,7,8,9,10,3,4,1,2,5]=>[5,2,1,4,3,10,9,8,7,6]
[6,7,8,9,10,3,4,2,1,5]=>[5,1,2,4,3,10,9,8,7,6]
[6,7,8,9,10,3,1,2,4,5]=>[5,4,2,1,3,10,9,8,7,6]
[6,7,8,9,10,2,1,3,4,5]=>[5,4,3,1,2,10,9,8,7,6]
[6,7,8,9,10,2,3,4,1,5]=>[5,1,4,3,2,10,9,8,7,6]
[6,7,8,9,10,2,3,4,5,1]=>[1,5,4,3,2,10,9,8,7,6]
[2,1,4,3,6,5,9,10,8,7]=>[7,8,10,9,5,6,3,4,1,2]
[3,4,2,1,6,5,9,10,8,7]=>[7,8,10,9,5,6,1,2,4,3]
[3,5,2,6,4,1,9,10,8,7]=>[7,8,10,9,1,4,6,2,5,3]
[3,5,2,8,4,9,10,7,6,1]=>[1,6,7,10,9,4,8,2,5,3]
[2,1,5,6,4,3,9,10,8,7]=>[7,8,10,9,3,4,6,5,1,2]
[4,5,6,3,2,1,9,10,8,7]=>[7,8,10,9,1,2,3,6,5,4]
[4,5,8,3,2,9,10,7,6,1]=>[1,6,7,10,9,2,3,8,5,4]
[4,5,8,1,3,9,10,2,7,6]=>[6,7,2,10,9,3,1,8,5,4]
[2,1,5,8,4,9,10,7,6,3]=>[3,6,7,10,9,4,8,5,1,2]
[4,7,8,3,9,10,6,5,2,1]=>[1,2,5,6,10,9,3,8,7,4]
[6,7,8,9,10,1,2,3,5,4]=>[4,5,3,2,1,10,9,8,7,6]
[6,7,8,9,10,1,3,2,5,4]=>[4,5,2,3,1,10,9,8,7,6]
[6,7,8,9,10,3,1,5,4,2]=>[2,4,5,1,3,10,9,8,7,6]
[6,7,8,9,10,3,5,1,4,2]=>[2,4,1,5,3,10,9,8,7,6]
[6,7,8,9,10,5,1,2,3,4]=>[4,3,2,1,5,10,9,8,7,6]
[6,7,8,9,10,1,5,2,3,4]=>[4,3,2,5,1,10,9,8,7,6]
[2,1,4,3,8,9,10,7,6,5]=>[5,6,7,10,9,8,3,4,1,2]
[3,4,2,1,8,9,10,7,6,5]=>[5,6,7,10,9,8,1,2,4,3]
[3,7,2,8,9,10,6,5,4,1]=>[1,4,5,6,10,9,8,2,7,3]
[6,7,8,9,10,2,1,5,4,3]=>[3,4,5,1,2,10,9,8,7,6]
[6,7,8,9,10,1,2,5,4,3]=>[3,4,5,2,1,10,9,8,7,6]
[6,7,8,9,10,1,5,2,4,3]=>[3,4,2,5,1,10,9,8,7,6]
[2,1,7,8,9,10,6,5,4,3]=>[3,4,5,6,10,9,8,7,1,2]
[6,7,8,9,10,1,5,4,3,2]=>[2,3,4,5,1,10,9,8,7,6]
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]
[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]
[2,3,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,3,2]
[2,3,4,5,6,7,8,10,1,9]=>[9,1,10,8,7,6,5,4,3,2]
[2,3,4,5,6,7,9,10,1,8]=>[8,1,10,9,7,6,5,4,3,2]
[2,3,4,5,6,8,9,10,1,7]=>[7,1,10,9,8,6,5,4,3,2]
[2,3,4,5,7,8,9,10,1,6]=>[6,1,10,9,8,7,5,4,3,2]
[2,3,4,6,7,8,9,10,1,5]=>[5,1,10,9,8,7,6,4,3,2]
[2,3,5,6,7,8,9,10,1,4]=>[4,1,10,9,8,7,6,5,3,2]
[2,4,5,6,7,8,9,10,1,3]=>[3,1,10,9,8,7,6,5,4,2]
[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]
[10,8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8,10]
[10,8,9,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,9,8,10]
[10,7,8,5,6,9,1,2,3,4]=>[4,3,2,1,9,6,5,8,7,10]
[10,7,8,4,5,9,1,2,3,6]=>[6,3,2,1,9,5,4,8,7,10]
[10,6,7,4,5,8,1,2,3,9]=>[9,3,2,1,8,5,4,7,6,10]
[10,7,8,3,4,9,1,2,5,6]=>[6,5,2,1,9,4,3,8,7,10]
[10,6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6,10]
[9,8,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,8,9]
[9,8,10,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,10,8,9]
[9,7,10,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,10,7,9]
[9,7,10,4,5,8,1,2,3,6]=>[6,3,2,1,8,5,4,10,7,9]
[9,6,10,4,5,7,1,2,3,8]=>[8,3,2,1,7,5,4,10,6,9]
[9,7,10,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,10,7,9]
[9,6,10,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,10,6,9]
[8,7,9,5,6,10,1,2,3,4]=>[4,3,2,1,10,6,5,9,7,8]
[8,7,9,4,5,10,1,2,3,6]=>[6,3,2,1,10,5,4,9,7,8]
[8,6,9,4,5,10,1,2,3,7]=>[7,3,2,1,10,5,4,9,6,8]
[7,6,8,4,5,9,1,2,3,10]=>[10,3,2,1,9,5,4,8,6,7]
[8,7,9,3,4,10,1,2,5,6]=>[6,5,2,1,10,4,3,9,7,8]
[8,6,9,3,4,10,1,2,5,7]=>[7,5,2,1,10,4,3,9,6,8]
[7,6,8,3,4,9,1,2,5,10]=>[10,5,2,1,9,4,3,8,6,7]
[9,6,10,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,10,6,9]
[9,6,10,4,7,8,1,2,3,5]=>[5,3,2,1,8,7,4,10,6,9]
[9,5,10,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,10,5,9]
[9,6,10,3,7,8,1,2,4,5]=>[5,4,2,1,8,7,3,10,6,9]
[9,5,10,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,10,5,9]
[8,6,9,5,7,10,1,2,3,4]=>[4,3,2,1,10,7,5,9,6,8]
[8,6,9,4,7,10,1,2,3,5]=>[5,3,2,1,10,7,4,9,6,8]
[8,5,9,4,6,10,1,2,3,7]=>[7,3,2,1,10,6,4,9,5,8]
[7,5,8,4,6,9,1,2,3,10]=>[10,3,2,1,9,6,4,8,5,7]
[8,6,9,3,7,10,1,2,4,5]=>[5,4,2,1,10,7,3,9,6,8]
[8,5,9,3,6,10,1,2,4,7]=>[7,4,2,1,10,6,3,9,5,8]
[7,5,8,3,6,9,1,2,4,10]=>[10,4,2,1,9,6,3,8,5,7]
[8,4,9,3,5,10,1,2,6,7]=>[7,6,2,1,10,5,3,9,4,8]
[7,4,8,3,5,9,1,2,6,10]=>[10,6,2,1,9,5,3,8,4,7]
[9,6,10,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,10,6,9]
[9,5,10,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,10,5,9]
[8,6,9,2,7,10,1,3,4,5]=>[5,4,3,1,10,7,2,9,6,8]
[8,5,9,2,6,10,1,3,4,7]=>[7,4,3,1,10,6,2,9,5,8]
[7,5,8,2,6,9,1,3,4,10]=>[10,4,3,1,9,6,2,8,5,7]
[8,4,9,2,5,10,1,3,6,7]=>[7,6,3,1,10,5,2,9,4,8]
[7,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,7]
[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]
[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]
[9,1,2,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,2,1,9]
[2,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,2]
[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,3,2,1]
[1,2,3,4,5,6,8,9,10,7]=>[7,10,9,8,6,5,4,3,2,1]
[1,2,3,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,3,2,1]
[1,2,3,4,6,7,8,9,10,5]=>[5,10,9,8,7,6,4,3,2,1]
[1,2,3,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,3,2,1]
[1,2,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,2,1]
[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]
[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]
[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]
[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]
[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]
[9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9]
[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]
[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]
[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]
[10,1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1,10]
[10,1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1,10]
[9,1,2,3,4,10,5,6,7,8]=>[8,7,6,5,10,4,3,2,1,9]
[10,1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1,10]
[10,1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1,10]
[9,1,10,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,10,1,9]
[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]
[8,1,2,3,4,5,6,9,10,7]=>[7,10,9,6,5,4,3,2,1,8]
[7,1,2,3,4,5,10,9,6,8]=>[8,6,9,10,5,4,3,2,1,7]
[6,1,2,3,4,10,9,5,7,8]=>[8,7,5,9,10,4,3,2,1,6]
[5,1,2,3,9,10,4,6,7,8]=>[8,7,6,4,10,9,3,2,1,5]
[4,1,2,10,9,3,5,6,7,8]=>[8,7,6,5,3,9,10,2,1,4]
[3,1,10,9,2,4,5,6,7,8]=>[8,7,6,5,4,2,9,10,1,3]
[2,9,10,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,10,9,2]
[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]
[9,8,7,5,6,4,3,2,1,10]=>[10,1,2,3,4,6,5,7,8,9]
[1,10,9,8,6,7,5,4,3,2]=>[2,3,4,5,7,6,8,9,10,1]
[10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]
[3,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,3]
[2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]
[2,4,6,9,10,1,3,5,7,8]=>[8,7,5,3,1,10,9,6,4,2]
[2,4,7,8,10,1,3,5,6,9]=>[9,6,5,3,1,10,8,7,4,2]
[2,4,7,9,10,1,3,5,6,8]=>[8,6,5,3,1,10,9,7,4,2]
[2,4,8,9,10,1,3,5,6,7]=>[7,6,5,3,1,10,9,8,4,2]
[2,5,6,8,10,1,3,4,7,9]=>[9,7,4,3,1,10,8,6,5,2]
[2,5,6,9,10,1,3,4,7,8]=>[8,7,4,3,1,10,9,6,5,2]
[2,5,7,8,10,1,3,4,6,9]=>[9,6,4,3,1,10,8,7,5,2]
[2,5,7,9,10,1,3,4,6,8]=>[8,6,4,3,1,10,9,7,5,2]
[2,5,8,9,10,1,3,4,6,7]=>[7,6,4,3,1,10,9,8,5,2]
[2,6,7,8,10,1,3,4,5,9]=>[9,5,4,3,1,10,8,7,6,2]
[2,6,7,9,10,1,3,4,5,8]=>[8,5,4,3,1,10,9,7,6,2]
[2,6,8,9,10,1,3,4,5,7]=>[7,5,4,3,1,10,9,8,6,2]
[2,7,8,9,10,1,3,4,5,6]=>[6,5,4,3,1,10,9,8,7,2]
[3,4,6,8,10,1,2,5,7,9]=>[9,7,5,2,1,10,8,6,4,3]
[3,4,6,9,10,1,2,5,7,8]=>[8,7,5,2,1,10,9,6,4,3]
[3,4,7,8,10,1,2,5,6,9]=>[9,6,5,2,1,10,8,7,4,3]
[3,4,7,9,10,1,2,5,6,8]=>[8,6,5,2,1,10,9,7,4,3]
[3,4,8,9,10,1,2,5,6,7]=>[7,6,5,2,1,10,9,8,4,3]
[3,5,6,8,10,1,2,4,7,9]=>[9,7,4,2,1,10,8,6,5,3]
[3,5,6,9,10,1,2,4,7,8]=>[8,7,4,2,1,10,9,6,5,3]
[3,5,7,8,10,1,2,4,6,9]=>[9,6,4,2,1,10,8,7,5,3]
[3,5,7,9,10,1,2,4,6,8]=>[8,6,4,2,1,10,9,7,5,3]
[3,5,8,9,10,1,2,4,6,7]=>[7,6,4,2,1,10,9,8,5,3]
[3,6,7,8,10,1,2,4,5,9]=>[9,5,4,2,1,10,8,7,6,3]
[3,6,7,9,10,1,2,4,5,8]=>[8,5,4,2,1,10,9,7,6,3]
[3,6,8,9,10,1,2,4,5,7]=>[7,5,4,2,1,10,9,8,6,3]
[3,7,8,9,10,1,2,4,5,6]=>[6,5,4,2,1,10,9,8,7,3]
[4,5,6,8,10,1,2,3,7,9]=>[9,7,3,2,1,10,8,6,5,4]
[4,5,6,9,10,1,2,3,7,8]=>[8,7,3,2,1,10,9,6,5,4]
[4,5,7,8,10,1,2,3,6,9]=>[9,6,3,2,1,10,8,7,5,4]
[4,5,7,9,10,1,2,3,6,8]=>[8,6,3,2,1,10,9,7,5,4]
[4,5,8,9,10,1,2,3,6,7]=>[7,6,3,2,1,10,9,8,5,4]
[4,6,7,8,10,1,2,3,5,9]=>[9,5,3,2,1,10,8,7,6,4]
[4,6,7,9,10,1,2,3,5,8]=>[8,5,3,2,1,10,9,7,6,4]
[4,6,8,9,10,1,2,3,5,7]=>[7,5,3,2,1,10,9,8,6,4]
[4,7,8,9,10,1,2,3,5,6]=>[6,5,3,2,1,10,9,8,7,4]
[5,6,7,8,10,1,2,3,4,9]=>[9,4,3,2,1,10,8,7,6,5]
[5,6,7,9,10,1,2,3,4,8]=>[8,4,3,2,1,10,9,7,6,5]
[5,6,8,9,10,1,2,3,4,7]=>[7,4,3,2,1,10,9,8,6,5]
[5,7,8,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,8,7,5]
[3,1,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,1,3]
[10,3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3,10]
[10,1,4,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,4,1,10]
[2,10,4,5,6,7,8,1,3,9]=>[9,3,1,8,7,6,5,4,10,2]
[8,3,4,5,6,7,1,10,2,9]=>[9,2,10,1,7,6,5,4,3,8]
[3,1,10,5,6,7,8,9,2,4]=>[4,2,9,8,7,6,5,10,1,3]
[9,1,4,5,6,7,8,2,10,3]=>[3,10,2,8,7,6,5,4,1,9]
[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]
[8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]
[10,8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8,10]
[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]
[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]
[10,7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7,10]
[9,10,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,10,9]
[10,9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9,10]
[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]
[10,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,10]
[9,10,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,10,9]
[10,9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9,10]
[10,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,10]
[10,9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9,10]
[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]
[9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9]
[10,9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9,10]
[8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8]
[10,9,8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8,9,10]
[9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9]
[10,9,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,9,10]
[10,9,8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8,9,10]
[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]
[10,7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7,10]
[9,10,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,10,9]
[10,9,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,9,10]
[10,9,8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8,9,10]
[10,8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8,10]
[10,9,8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8,9,10]
[10,9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9,10]
[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]
[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]
[10,9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9,10]
[10,9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9,10]
[10,9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9,10]
[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]
[8,9,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,9,8]
[1,9,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,9,1]
[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]
[1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]
[8,9,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,9,8]
[1,9,10,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,10,9,1]
[2,4,1,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,1,4,2]
[2,4,1,6,3,5,8,7,10,9]=>[9,10,7,8,5,3,6,1,4,2]
[2,4,1,6,3,8,5,7,10,9]=>[9,10,7,5,8,3,6,1,4,2]
[2,4,1,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,1,4,2]
[2,4,1,6,3,8,5,9,7,10]=>[10,7,9,5,8,3,6,1,4,2]
[2,4,1,6,3,7,5,9,8,10]=>[10,8,9,5,7,3,6,1,4,2]
[2,4,1,5,3,7,6,9,8,10]=>[10,8,9,6,7,3,5,1,4,2]
[2,3,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,3,2]
[1,3,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,3,1]
[3,4,1,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,1,4,3]
[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]
[4,5,6,1,2,3,7,8,9,10]=>[10,9,8,7,3,2,1,6,5,4]
[4,2,5,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,5,2,4]
[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]
[5,6,7,8,1,2,3,4,9,10]=>[10,9,4,3,2,1,8,7,6,5]
[5,2,6,7,1,3,4,8,9,10]=>[10,9,8,4,3,1,7,6,2,5]
[5,6,3,4,1,2,7,8,9,10]=>[10,9,8,7,2,1,4,3,6,5]
[5,3,2,6,1,4,7,8,9,10]=>[10,9,8,7,4,1,6,2,3,5]
[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]
[6,2,7,8,9,1,3,4,5,10]=>[10,5,4,3,1,9,8,7,2,6]
[6,7,3,4,8,1,2,5,9,10]=>[10,9,5,2,1,8,4,3,7,6]
[6,3,2,7,8,1,4,5,9,10]=>[10,9,5,4,1,8,7,2,3,6]
[6,4,7,2,5,1,3,8,9,10]=>[10,9,8,3,1,5,2,7,4,6]
[6,4,3,2,7,1,5,8,9,10]=>[10,9,8,5,1,7,2,3,4,6]
[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]
[7,8,3,4,9,10,1,2,5,6]=>[6,5,2,1,10,9,4,3,8,7]
[7,8,9,4,5,6,1,2,3,10]=>[10,3,2,1,6,5,4,9,8,7]
[7,4,3,2,8,9,1,5,6,10]=>[10,6,5,1,9,8,2,3,4,7]
[7,8,5,6,3,4,1,2,9,10]=>[10,9,2,1,4,3,6,5,8,7]
[7,5,3,8,2,6,1,4,9,10]=>[10,9,4,1,6,2,8,3,5,7]
[7,5,4,3,2,8,1,6,9,10]=>[10,9,6,1,8,2,3,4,5,7]
[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]
[8,5,9,10,2,6,7,1,3,4]=>[4,3,1,7,6,2,10,9,5,8]
[8,5,3,9,2,6,10,1,4,7]=>[7,4,1,10,6,2,9,3,5,8]
[8,6,9,4,7,2,5,1,3,10]=>[10,3,1,5,2,7,4,9,6,8]
[8,6,4,3,9,2,7,1,5,10]=>[10,5,1,7,2,9,3,4,6,8]
[8,6,5,4,3,2,9,1,7,10]=>[10,7,1,9,2,3,4,5,6,8]
[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]
[9,7,5,4,3,10,2,8,1,6]=>[6,1,8,2,10,3,4,5,7,9]
[2,3,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,3,2]
[2,3,4,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,4,3,2]
[2,3,4,5,1,6,7,8,9,10]=>[10,9,8,7,6,1,5,4,3,2]
[2,3,4,5,6,1,7,8,9,10]=>[10,9,8,7,1,6,5,4,3,2]
[2,3,4,5,6,7,1,8,9,10]=>[10,9,8,1,7,6,5,4,3,2]
[2,3,4,5,6,7,8,1,9,10]=>[10,9,1,8,7,6,5,4,3,2]
[3,4,1,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,1,4,3]
[3,4,5,1,6,7,8,9,10,2]=>[2,10,9,8,7,6,1,5,4,3]
[3,4,5,6,1,7,8,9,10,2]=>[2,10,9,8,7,1,6,5,4,3]
[3,4,5,6,7,1,8,9,10,2]=>[2,10,9,8,1,7,6,5,4,3]
[3,4,5,6,7,8,1,9,10,2]=>[2,10,9,1,8,7,6,5,4,3]
[3,4,5,6,7,8,9,1,10,2]=>[2,10,1,9,8,7,6,5,4,3]
[9,8,7,6,5,4,3,1,10,2]=>[2,10,1,3,4,5,6,7,8,9]
[8,10,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]
[1,8,7,6,5,4,3,10,9,2]=>[2,9,10,3,4,5,6,7,8,1]
[8,10,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,10,8]
[7,10,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,10,7]
[6,10,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,10,6]
[5,10,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,10,5]
[4,10,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,10,4]
[3,10,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,10,3]
[2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2]
[1,2,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,2,1]
[1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1]
[1,2,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,2,1]
[1,2,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,2,1]
[1,2,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,2,1]
[1,2,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,2,1]
[8,7,10,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,10,7,8]
[8,9,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,9,8]
[7,6,5,10,9,8,4,3,2,1]=>[1,2,3,4,8,9,10,5,6,7]
[7,8,9,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]
[6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6]
[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]
[5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]
[4,3,2,7,6,5,10,9,8,1]=>[1,8,9,10,5,6,7,2,3,4]
[4,7,3,9,6,2,10,8,5,1]=>[1,5,8,10,2,6,9,3,7,4]
[4,5,6,7,8,9,10,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]
[3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3]
[2,4,6,1,8,3,9,5,10,7]=>[7,10,5,9,3,8,1,6,4,2]
[5,6,7,10,9,8,1,2,4,3]=>[3,4,2,1,8,9,10,7,6,5]
[7,8,10,9,1,2,3,6,5,4]=>[4,5,6,3,2,1,9,10,8,7]
[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]
[4,3,2,1,7,6,5,9,8,10]=>[10,8,9,5,6,7,1,2,3,4]
[4,3,1,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,1,3,4]
[6,3,1,5,2,4,8,7,10,9]=>[9,10,7,8,4,2,5,1,3,6]
[8,3,1,5,2,7,4,6,10,9]=>[9,10,6,4,7,2,5,1,3,8]
[10,3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3,10]
[10,9,4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4,9,10]
[10,9,8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8,9,10]
[8,7,6,5,4,3,2,10,1,9]=>[9,1,10,2,3,4,5,6,7,8]
[7,6,5,4,3,10,2,9,1,8]=>[8,1,9,2,10,3,4,5,6,7]
[7,6,5,4,3,2,9,1,8,10]=>[10,8,1,9,2,3,4,5,6,7]
[6,5,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,5,6]
[6,5,4,3,9,2,8,1,7,10]=>[10,7,1,8,2,9,3,4,5,6]
[6,5,4,3,2,8,10,1,7,9]=>[9,7,1,10,8,2,3,4,5,6]
[6,5,4,3,2,8,1,7,9,10]=>[10,9,7,1,8,2,3,4,5,6]
[5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]
[5,4,9,3,8,2,7,1,6,10]=>[10,6,1,7,2,8,3,9,4,5]
[5,4,3,8,2,7,10,1,6,9]=>[9,6,1,10,7,2,8,3,4,5]
[5,4,3,8,2,7,1,6,9,10]=>[10,9,6,1,7,2,8,3,4,5]
[5,4,3,2,7,9,1,6,8,10]=>[10,8,6,1,9,7,2,3,4,5]
[5,4,3,2,7,1,6,8,9,10]=>[10,9,8,6,1,7,2,3,4,5]
[4,8,3,7,2,6,10,1,5,9]=>[9,5,1,10,6,2,7,3,8,4]
[4,8,3,7,2,6,1,5,9,10]=>[10,9,5,1,6,2,7,3,8,4]
[4,3,7,10,2,6,9,1,5,8]=>[8,5,1,9,6,2,10,7,3,4]
[4,3,7,2,6,9,1,5,8,10]=>[10,8,5,1,9,6,2,7,3,4]
[4,3,7,2,6,1,5,8,9,10]=>[10,9,8,5,1,6,2,7,3,4]
[4,3,2,6,8,10,1,5,7,9]=>[9,7,5,1,10,8,6,2,3,4]
[4,3,2,6,8,1,5,7,9,10]=>[10,9,7,5,1,8,6,2,3,4]
[4,3,2,6,1,5,7,8,9,10]=>[10,9,8,7,5,1,6,2,3,4]
[3,6,9,2,5,8,1,4,7,10]=>[10,7,4,1,8,5,2,9,6,3]
[3,6,2,5,8,10,1,4,7,9]=>[9,7,4,1,10,8,5,2,6,3]
[3,6,2,5,8,1,4,7,9,10]=>[10,9,7,4,1,8,5,2,6,3]
[3,6,2,5,1,4,7,8,9,10]=>[10,9,8,7,4,1,5,2,6,3]
[3,2,5,7,9,1,4,6,8,10]=>[10,8,6,4,1,9,7,5,2,3]
[3,2,5,7,1,4,6,8,9,10]=>[10,9,8,6,4,1,7,5,2,3]
[3,2,5,1,4,6,7,8,9,10]=>[10,9,8,7,6,4,1,5,2,3]
[2,4,6,8,1,3,5,7,9,10]=>[10,9,7,5,3,1,8,6,4,2]
[2,4,6,1,3,5,7,8,9,10]=>[10,9,8,7,5,3,1,6,4,2]
[2,4,1,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,1,4,2]
[9,7,6,5,4,3,2,1,10,8]=>[8,10,1,2,3,4,5,6,7,9]
[7,8,9,10,4,5,6,2,3,1]=>[1,3,2,6,5,4,10,9,8,7]
[7,8,9,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,9,8,7]
[7,8,9,10,4,5,2,3,6,1]=>[1,6,3,2,5,4,10,9,8,7]
[7,8,9,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,9,8,7]
[7,8,9,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,9,8,7]
[7,8,4,5,9,10,2,3,6,1]=>[1,6,3,2,10,9,5,4,8,7]
[7,8,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,8,7]
[7,8,9,10,4,5,6,2,1,3]=>[3,1,2,6,5,4,10,9,8,7]
[7,8,9,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,9,8,7]
[7,8,9,10,4,5,2,6,1,3]=>[3,1,6,2,5,4,10,9,8,7]
[7,8,9,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,9,8,7]
[7,8,9,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,9,8,7]
[7,8,4,5,9,10,2,6,1,3]=>[3,1,6,2,10,9,5,4,8,7]
[7,8,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,8,7]
[7,8,9,10,4,5,2,1,3,6]=>[6,3,1,2,5,4,10,9,8,7]
[7,8,9,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,9,8,7]
[7,8,9,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,9,8,7]
[7,8,9,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,9,8,7]
[7,8,4,5,9,10,2,1,3,6]=>[6,3,1,2,10,9,5,4,8,7]
[7,8,4,5,9,2,10,1,3,6]=>[6,3,1,10,2,9,5,4,8,7]
[7,8,4,5,9,2,1,3,6,10]=>[10,6,3,1,2,9,5,4,8,7]
[7,8,9,10,4,2,5,6,1,3]=>[3,1,6,5,2,4,10,9,8,7]
[7,8,9,4,10,2,5,6,1,3]=>[3,1,6,5,2,10,4,9,8,7]
[7,8,9,4,2,5,6,10,1,3]=>[3,1,10,6,5,2,4,9,8,7]
[7,8,4,9,10,2,5,6,1,3]=>[3,1,6,5,2,10,9,4,8,7]
[7,8,4,9,2,5,6,10,1,3]=>[3,1,10,6,5,2,9,4,8,7]
[7,8,9,10,4,2,5,1,3,6]=>[6,3,1,5,2,4,10,9,8,7]
[7,8,9,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,9,8,7]
[7,8,9,4,2,5,10,1,3,6]=>[6,3,1,10,5,2,4,9,8,7]
[7,8,9,4,2,5,1,3,6,10]=>[10,6,3,1,5,2,4,9,8,7]
[7,8,4,9,10,2,5,1,3,6]=>[6,3,1,5,2,10,9,4,8,7]
[7,8,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,8,7]
[7,8,4,9,2,5,1,3,6,10]=>[10,6,3,1,5,2,9,4,8,7]
[7,8,4,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,4,8,7]
[7,8,4,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,4,8,7]
[7,4,8,9,10,2,5,6,1,3]=>[3,1,6,5,2,10,9,8,4,7]
[7,4,8,9,2,5,6,10,1,3]=>[3,1,10,6,5,2,9,8,4,7]
[7,4,8,9,10,2,5,1,3,6]=>[6,3,1,5,2,10,9,8,4,7]
[7,4,8,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,8,4,7]
[7,4,8,9,2,5,1,3,6,10]=>[10,6,3,1,5,2,9,8,4,7]
[7,4,8,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,8,4,7]
[8,10,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,10,8]
[9,10,6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6,10,9]
[8,10,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,10,8]
[7,10,6,9,5,8,3,4,1,2]=>[2,1,4,3,8,5,9,6,10,7]
[9,10,7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7,10,9]
[8,10,7,9,4,6,3,5,1,2]=>[2,1,5,3,6,4,9,7,10,8]
[9,10,6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6,10,9]
[8,10,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,10,8]
[7,10,6,9,4,8,3,5,1,2]=>[2,1,5,3,8,4,9,6,10,7]
[9,10,5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5,10,9]
[8,10,5,9,4,7,3,6,1,2]=>[2,1,6,3,7,4,9,5,10,8]
[7,10,5,9,4,8,3,6,1,2]=>[2,1,6,3,8,4,9,5,10,7]
[6,10,5,9,4,8,3,7,1,2]=>[2,1,7,3,8,4,9,5,10,6]
[9,10,7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7,10,9]
[8,10,7,9,5,6,2,4,1,3]=>[3,1,4,2,6,5,9,7,10,8]
[9,10,6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6,10,9]
[8,10,6,9,5,7,2,4,1,3]=>[3,1,4,2,7,5,9,6,10,8]
[7,10,6,9,5,8,2,4,1,3]=>[3,1,4,2,8,5,9,6,10,7]
[9,10,7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7,10,9]
[8,10,7,9,4,6,2,5,1,3]=>[3,1,5,2,6,4,9,7,10,8]
[9,10,6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6,10,9]
[8,10,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,10,8]
[7,10,6,9,4,8,2,5,1,3]=>[3,1,5,2,8,4,9,6,10,7]
[9,10,5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5,10,9]
[8,10,5,9,4,7,2,6,1,3]=>[3,1,6,2,7,4,9,5,10,8]
[7,10,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,10,7]
[6,10,5,9,4,8,2,7,1,3]=>[3,1,7,2,8,4,9,5,10,6]
[9,10,7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7,10,9]
[8,10,7,9,3,6,2,5,1,4]=>[4,1,5,2,6,3,9,7,10,8]
[9,10,6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6,10,9]
[8,10,6,9,3,7,2,5,1,4]=>[4,1,5,2,7,3,9,6,10,8]
[7,10,6,9,3,8,2,5,1,4]=>[4,1,5,2,8,3,9,6,10,7]
[9,10,5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5,10,9]
[8,10,5,9,3,7,2,6,1,4]=>[4,1,6,2,7,3,9,5,10,8]
[7,10,5,9,3,8,2,6,1,4]=>[4,1,6,2,8,3,9,5,10,7]
[6,10,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,10,6]
[9,10,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,10,9]
[8,10,4,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,4,10,8]
[7,10,4,9,3,8,2,6,1,5]=>[5,1,6,2,8,3,9,4,10,7]
[6,10,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,10,6]
[3,4,5,6,7,8,9,1,2,10]=>[10,2,1,9,8,7,6,5,4,3]
[1,4,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,4,1]
[9,10,7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7,10,9]
[9,10,7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7,10,9]
[9,10,7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7,10,9]
[9,7,10,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,10,7,9]
[10,8,9,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,9,8,10]
[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]
[6,5,4,3,2,1,9,8,7,10]=>[10,7,8,9,1,2,3,4,5,6]
[5,4,3,2,1,9,8,7,6,10]=>[10,6,7,8,9,1,2,3,4,5]
[5,4,3,2,1,8,7,6,10,9]=>[9,10,6,7,8,1,2,3,4,5]
[4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]
[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]
[2,1,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,1,2]
[2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]
[3,1,4,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,4,1,3]
[3,1,5,2,6,4,8,7,10,9]=>[9,10,7,8,4,6,2,5,1,3]
[3,1,5,2,7,4,8,6,10,9]=>[9,10,6,8,4,7,2,5,1,3]
[3,1,5,2,7,4,9,6,10,8]=>[8,10,6,9,4,7,2,5,1,3]
[3,1,5,2,7,4,9,6,8,10]=>[10,8,6,9,4,7,2,5,1,3]
[3,1,5,2,7,4,6,9,8,10]=>[10,8,9,6,4,7,2,5,1,3]
[3,1,5,2,4,7,6,9,8,10]=>[10,8,9,6,7,4,2,5,1,3]
[3,1,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,1,3]
[4,5,6,7,8,9,10,1,2,3]=>[3,2,1,10,9,8,7,6,5,4]
[4,5,6,7,8,9,10,2,3,1]=>[1,3,2,10,9,8,7,6,5,4]
[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]
[5,6,7,8,9,10,2,3,4,1]=>[1,4,3,2,10,9,8,7,6,5]
[5,6,7,8,9,10,3,4,1,2]=>[2,1,4,3,10,9,8,7,6,5]
[5,6,7,8,9,10,3,4,2,1]=>[1,2,4,3,10,9,8,7,6,5]
[7,8,9,10,3,4,5,6,1,2]=>[2,1,6,5,4,3,10,9,8,7]
[7,8,9,10,3,4,5,6,2,1]=>[1,2,6,5,4,3,10,9,8,7]
[7,8,9,10,4,5,6,1,2,3]=>[3,2,1,6,5,4,10,9,8,7]
[7,8,9,10,4,5,6,3,2,1]=>[1,2,3,6,5,4,10,9,8,7]
[7,8,9,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,9,8,7]
[7,8,9,10,5,6,3,4,2,1]=>[1,2,4,3,6,5,10,9,8,7]
[7,8,9,10,5,6,4,3,2,1]=>[1,2,3,4,6,5,10,9,8,7]
[8,9,10,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,10,9,8]
[8,9,10,5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5,10,9,8]
[8,9,10,5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5,10,9,8]
[8,9,10,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,10,9,8]
[8,9,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,9,8]
[8,9,10,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,10,9,8]
[8,9,10,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,10,9,8]
[9,10,7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7,10,9]
[9,10,7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7,10,9]
[9,10,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,10,9]
[9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]
[8,6,4,2,1,10,9,7,5,3]=>[3,5,7,9,10,1,2,4,6,8]
[6,1,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,1,6]
[6,1,7,2,8,3,9,10,4,5]=>[5,4,10,9,3,8,2,7,1,6]
[6,1,7,2,8,9,3,4,10,5]=>[5,10,4,3,9,8,2,7,1,6]
[6,1,7,2,8,9,3,10,4,5]=>[5,4,10,3,9,8,2,7,1,6]
[6,1,7,2,8,9,10,3,4,5]=>[5,4,3,10,9,8,2,7,1,6]
[6,1,7,8,2,3,9,4,10,5]=>[5,10,4,9,3,2,8,7,1,6]
[6,1,7,8,2,3,9,10,4,5]=>[5,4,10,9,3,2,8,7,1,6]
[6,1,7,8,2,9,3,4,10,5]=>[5,10,4,3,9,2,8,7,1,6]
[6,1,7,8,2,9,3,10,4,5]=>[5,4,10,3,9,2,8,7,1,6]
[6,1,7,8,2,9,10,3,4,5]=>[5,4,3,10,9,2,8,7,1,6]
[6,1,7,8,9,2,3,4,10,5]=>[5,10,4,3,2,9,8,7,1,6]
[6,1,7,8,9,2,3,10,4,5]=>[5,4,10,3,2,9,8,7,1,6]
[6,1,7,8,9,2,10,3,4,5]=>[5,4,3,10,2,9,8,7,1,6]
[6,1,7,8,9,10,2,3,4,5]=>[5,4,3,2,10,9,8,7,1,6]
[6,7,1,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,1,7,6]
[6,7,1,2,8,3,9,10,4,5]=>[5,4,10,9,3,8,2,1,7,6]
[6,7,1,2,8,9,3,4,10,5]=>[5,10,4,3,9,8,2,1,7,6]
[6,7,1,2,8,9,3,10,4,5]=>[5,4,10,3,9,8,2,1,7,6]
[6,7,1,2,8,9,10,3,4,5]=>[5,4,3,10,9,8,2,1,7,6]
[6,7,1,8,2,3,9,4,10,5]=>[5,10,4,9,3,2,8,1,7,6]
[6,7,1,8,2,3,9,10,4,5]=>[5,4,10,9,3,2,8,1,7,6]
[6,7,1,8,2,9,3,4,10,5]=>[5,10,4,3,9,2,8,1,7,6]
[6,7,1,8,2,9,3,10,4,5]=>[5,4,10,3,9,2,8,1,7,6]
[6,7,1,8,2,9,10,3,4,5]=>[5,4,3,10,9,2,8,1,7,6]
[6,7,1,8,9,2,3,4,10,5]=>[5,10,4,3,2,9,8,1,7,6]
[6,7,1,8,9,2,3,10,4,5]=>[5,4,10,3,2,9,8,1,7,6]
[6,7,1,8,9,2,10,3,4,5]=>[5,4,3,10,2,9,8,1,7,6]
[6,7,1,8,9,10,2,3,4,5]=>[5,4,3,2,10,9,8,1,7,6]
[6,7,8,1,2,3,9,4,10,5]=>[5,10,4,9,3,2,1,8,7,6]
[6,7,8,1,2,3,9,10,4,5]=>[5,4,10,9,3,2,1,8,7,6]
[6,7,8,1,2,9,3,4,10,5]=>[5,10,4,3,9,2,1,8,7,6]
[6,7,8,1,2,9,3,10,4,5]=>[5,4,10,3,9,2,1,8,7,6]
[6,7,8,1,2,9,10,3,4,5]=>[5,4,3,10,9,2,1,8,7,6]
[6,7,8,1,9,2,3,4,10,5]=>[5,10,4,3,2,9,1,8,7,6]
[6,7,8,1,9,2,3,10,4,5]=>[5,4,10,3,2,9,1,8,7,6]
[6,7,8,1,9,2,10,3,4,5]=>[5,4,3,10,2,9,1,8,7,6]
[6,7,8,1,9,10,2,3,4,5]=>[5,4,3,2,10,9,1,8,7,6]
[6,7,8,9,1,2,3,4,10,5]=>[5,10,4,3,2,1,9,8,7,6]
[6,7,8,9,1,2,3,10,4,5]=>[5,4,10,3,2,1,9,8,7,6]
[6,7,8,9,1,2,10,3,4,5]=>[5,4,3,10,2,1,9,8,7,6]
[6,7,8,9,1,10,2,3,4,5]=>[5,4,3,2,10,1,9,8,7,6]
[10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]
[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]
[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10]
[10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10]
[10,9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9,10]
[10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]
[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]
[10,3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3,10]
[10,4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4,10]
[5,10,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,10,5]
[10,6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6,10]
[10,7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7,10]
[8,10,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,10,8]
[2,3,10,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,10,3,2]
[4,3,1,10,2,5,6,7,8,9]=>[9,8,7,6,5,2,10,1,3,4]
[5,4,1,2,10,3,6,7,8,9]=>[9,8,7,6,3,10,2,1,4,5]
[5,6,1,2,3,10,4,7,8,9]=>[9,8,7,4,10,3,2,1,6,5]
[7,6,1,2,3,4,10,5,8,9]=>[9,8,5,10,4,3,2,1,6,7]
[8,7,1,2,3,4,5,10,6,9]=>[9,6,10,5,4,3,2,1,7,8]
[8,9,1,2,3,4,5,6,10,7]=>[7,10,6,5,4,3,2,1,9,8]
[10,9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9,10]
[10,9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9,10]
[10,9,8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8,9,10]
[10,9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9,10]
[10,9,8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8,9,10]
[10,9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9,10]
[10,9,8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8,9,10]
[10,5,9,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,9,5,10]
[10,9,5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5,9,10]
[10,9,5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5,9,10]
[10,9,8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8,9,10]
[10,9,8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8,9,10]
[6,10,5,9,2,4,8,1,3,7]=>[7,3,1,8,4,2,9,5,10,6]
[6,10,5,9,4,8,1,2,3,7]=>[7,3,2,1,8,4,9,5,10,6]
[10,3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3,10]
[10,6,9,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,9,6,10]
[10,6,9,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,9,6,10]
[10,9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9,10]
[10,9,4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4,9,10]
[10,9,6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6,9,10]
[4,7,10,3,6,9,1,2,5,8]=>[8,5,2,1,9,6,3,10,7,4]
[7,10,2,4,6,9,1,3,5,8]=>[8,5,3,1,9,6,4,2,10,7]
[7,10,4,6,9,1,2,3,5,8]=>[8,5,3,2,1,9,6,4,10,7]
[7,10,6,9,1,2,3,4,5,8]=>[8,5,4,3,2,1,9,6,10,7]
[10,3,5,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,5,3,10]
[10,5,7,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,7,5,10]
[10,7,9,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,9,7,10]
[4,6,8,10,1,2,3,5,7,9]=>[9,7,5,3,2,1,10,8,6,4]
[6,8,10,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,10,8,6]
[10,7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7,10]
[8,7,6,5,4,3,2,10,9,1]=>[1,9,10,2,3,4,5,6,7,8]
[10,1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1,10]
[2,3,4,5,7,6,8,9,10,1]=>[1,10,9,8,6,7,5,4,3,2]
[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]
[7,8,9,10,5,6,1,2,3,4]=>[4,3,2,1,6,5,10,9,8,7]
[9,8,7,6,4,5,3,2,1,10]=>[10,1,2,3,5,4,6,7,8,9]
[1,10,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,10,1]
[8,7,9,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,9,7,8]
[8,7,6,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,6,7,8]
[8,7,6,5,4,9,3,2,1,10]=>[10,1,2,3,9,4,5,6,7,8]
[8,7,6,5,4,3,9,2,1,10]=>[10,1,2,9,3,4,5,6,7,8]
[7,10,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,10,7]
[2,3,4,5,6,7,9,10,8,1]=>[1,8,10,9,7,6,5,4,3,2]
[2,3,4,5,6,8,9,10,7,1]=>[1,7,10,9,8,6,5,4,3,2]
[2,3,4,6,7,8,9,10,5,1]=>[1,5,10,9,8,7,6,4,3,2]
[2,3,5,6,7,8,9,10,4,1]=>[1,4,10,9,8,7,6,5,3,2]
[2,3,4,5,6,7,10,1,8,9]=>[9,8,1,10,7,6,5,4,3,2]
[2,3,4,7,1,8,9,10,5,6]=>[6,5,10,9,8,1,7,4,3,2]
[4,1,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,1,4]
[2,10,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,10,2]
[9,1,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,1,9]
[9,1,2,3,4,5,6,10,7,8]=>[8,7,10,6,5,4,3,2,1,9]
[9,1,2,3,4,5,10,6,7,8]=>[8,7,6,10,5,4,3,2,1,9]
[9,1,2,3,10,4,5,6,7,8]=>[8,7,6,5,4,10,3,2,1,9]
[9,1,2,10,3,4,5,6,7,8]=>[8,7,6,5,4,3,10,2,1,9]
[9,2,1,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,1,2,9]
[3,2,9,8,7,6,5,4,1,10]=>[10,1,4,5,6,7,8,9,2,3]
[8,9,2,3,4,5,6,7,10,1]=>[1,10,7,6,5,4,3,2,9,8]
[2,9,10,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,10,9,2]
[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]
[1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1]
[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]
[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]
[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]
[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]
[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]
[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]
[1,2,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,2,1]
[1,2,3,4,6,5,8,7,10,9]=>[9,10,7,8,5,6,4,3,2,1]
[1,2,3,4,5,6,8,7,10,9]=>[9,10,7,8,6,5,4,3,2,1]
[10,9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9,10]
[10,9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9,10]
[10,9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9,10]
[10,9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9,10]
[10,7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7,10]
[8,1,10,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,10,1,8]
[10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]
[8,1,10,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,10,1,8]
[7,1,10,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,10,1,7]
[6,1,10,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,10,1,6]
[5,1,10,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,10,1,5]
[4,1,10,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,10,1,4]
[3,1,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,1,3]
[3,7,2,9,6,1,10,8,5,4]=>[4,5,8,10,1,6,9,2,7,3]
[10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]
[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]
[3,2,10,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,10,2,3]
[10,2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2,10]
[2,3,4,6,5,7,8,9,10,1]=>[1,10,9,8,7,5,6,4,3,2]
[10,1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1,10]
[9,7,10,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,10,7,9]
[9,7,10,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,10,7,9]
[9,7,10,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,10,7,9]
[9,7,10,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,10,7,9]
[9,8,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,8,9]
[2,10,9,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,9,10,2]
[2,10,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,10,2]
[3,10,9,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,9,10,3]
[6,10,9,8,2,1,7,5,4,3]=>[3,4,5,7,1,2,8,9,10,6]
[7,10,9,1,2,8,6,5,4,3]=>[3,4,5,6,8,2,1,9,10,7]
[9,2,1,10,8,7,6,5,4,3]=>[3,4,5,6,7,8,10,1,2,9]
[10,2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2,10]
[10,2,1,4,3,6,5,7,9,8]=>[8,9,7,5,6,3,4,1,2,10]
[10,2,1,4,3,5,7,8,6,9]=>[9,6,8,7,5,3,4,1,2,10]
[10,2,1,4,3,5,7,6,9,8]=>[8,9,6,7,5,3,4,1,2,10]
[10,2,1,4,3,5,6,8,9,7]=>[7,9,8,6,5,3,4,1,2,10]
[10,2,1,3,5,6,4,8,7,9]=>[9,7,8,4,6,5,3,1,2,10]
[10,2,1,3,5,6,4,7,9,8]=>[8,9,7,4,6,5,3,1,2,10]
[10,2,1,3,5,4,7,8,6,9]=>[9,6,8,7,4,5,3,1,2,10]
[10,2,1,3,5,4,7,6,9,8]=>[8,9,6,7,4,5,3,1,2,10]
[10,2,1,3,5,4,6,8,9,7]=>[7,9,8,6,4,5,3,1,2,10]
[10,2,1,3,4,6,7,8,5,9]=>[9,5,8,7,6,4,3,1,2,10]
[10,2,1,3,4,6,7,5,9,8]=>[8,9,5,7,6,4,3,1,2,10]
[10,2,1,3,4,6,5,8,9,7]=>[7,9,8,5,6,4,3,1,2,10]
[10,2,1,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,1,2,10]
[10,1,3,4,2,6,5,8,7,9]=>[9,7,8,5,6,2,4,3,1,10]
[10,1,3,4,2,6,5,7,9,8]=>[8,9,7,5,6,2,4,3,1,10]
[10,1,3,4,2,5,7,8,6,9]=>[9,6,8,7,5,2,4,3,1,10]
[10,1,3,4,2,5,7,6,9,8]=>[8,9,6,7,5,2,4,3,1,10]
[10,1,3,4,2,5,6,8,9,7]=>[7,9,8,6,5,2,4,3,1,10]
[10,1,3,2,5,6,4,8,7,9]=>[9,7,8,4,6,5,2,3,1,10]
[10,1,3,2,5,6,4,7,9,8]=>[8,9,7,4,6,5,2,3,1,10]
[10,1,3,2,5,4,7,8,6,9]=>[9,6,8,7,4,5,2,3,1,10]
[10,1,3,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,3,1,10]
[10,1,3,2,5,4,6,8,9,7]=>[7,9,8,6,4,5,2,3,1,10]
[10,1,3,2,4,6,7,8,5,9]=>[9,5,8,7,6,4,2,3,1,10]
[10,1,3,2,4,6,7,5,9,8]=>[8,9,5,7,6,4,2,3,1,10]
[10,1,3,2,4,6,5,8,9,7]=>[7,9,8,5,6,4,2,3,1,10]
[10,1,3,2,4,5,7,8,9,6]=>[6,9,8,7,5,4,2,3,1,10]
[10,1,2,4,5,6,3,8,7,9]=>[9,7,8,3,6,5,4,2,1,10]
[10,1,2,4,5,6,3,7,9,8]=>[8,9,7,3,6,5,4,2,1,10]
[10,1,2,4,5,3,7,8,6,9]=>[9,6,8,7,3,5,4,2,1,10]
[10,1,2,4,5,3,7,6,9,8]=>[8,9,6,7,3,5,4,2,1,10]
[10,1,2,4,5,3,6,8,9,7]=>[7,9,8,6,3,5,4,2,1,10]
[10,1,2,4,3,6,7,8,5,9]=>[9,5,8,7,6,3,4,2,1,10]
[10,1,2,4,3,6,7,5,9,8]=>[8,9,5,7,6,3,4,2,1,10]
[10,1,2,4,3,6,5,8,9,7]=>[7,9,8,5,6,3,4,2,1,10]
[10,1,2,4,3,5,7,8,9,6]=>[6,9,8,7,5,3,4,2,1,10]
[10,1,2,3,5,6,7,8,4,9]=>[9,4,8,7,6,5,3,2,1,10]
[10,1,2,3,5,6,7,4,9,8]=>[8,9,4,7,6,5,3,2,1,10]
[10,1,2,3,5,6,4,8,9,7]=>[7,9,8,4,6,5,3,2,1,10]
[10,1,2,3,5,4,7,8,9,6]=>[6,9,8,7,4,5,3,2,1,10]
[10,1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1,10]
[6,7,8,9,1,2,3,4,5,10]=>[10,5,4,3,2,1,9,8,7,6]
[1,7,8,9,10,2,3,4,5,6]=>[6,5,4,3,2,10,9,8,7,1]
[5,6,7,8,9,1,2,3,4,10]=>[10,4,3,2,1,9,8,7,6,5]
[1,6,7,8,9,10,2,3,4,5]=>[5,4,3,2,10,9,8,7,6,1]
[1,2,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,2,1]
[1,2,4,6,5,3,7,8,9,10]=>[10,9,8,7,3,5,6,4,2,1]
[1,2,4,6,8,7,5,3,9,10]=>[10,9,3,5,7,8,6,4,2,1]
[1,2,4,6,8,10,9,7,5,3]=>[3,5,7,9,10,8,6,4,2,1]
[1,2,4,6,8,9,7,5,3,10]=>[10,3,5,7,9,8,6,4,2,1]
[1,2,4,6,7,5,3,8,9,10]=>[10,9,8,3,5,7,6,4,2,1]
[1,2,4,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,4,2,1]
[2,4,1,3,6,8,5,7,10,9]=>[9,10,7,5,8,6,3,1,4,2]
[2,4,1,3,6,8,5,7,9,10]=>[10,9,7,5,8,6,3,1,4,2]
[2,4,1,3,7,8,5,6,9,10]=>[10,9,6,5,8,7,3,1,4,2]
[3,4,1,2,7,8,5,6,9,10]=>[10,9,6,5,8,7,2,1,4,3]
[2,4,1,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,1,4,2]
[2,3,4,5,6,7,9,1,10,8]=>[8,10,1,9,7,6,5,4,3,2]
[2,3,5,1,6,7,8,9,10,4]=>[4,10,9,8,7,6,1,5,3,2]
[2,3,4,5,6,8,1,9,10,7]=>[7,10,9,1,8,6,5,4,3,2]
[2,3,4,6,1,7,8,9,10,5]=>[5,10,9,8,7,1,6,4,3,2]
[2,3,4,5,7,1,8,9,10,6]=>[6,10,9,8,1,7,5,4,3,2]
[4,1,2,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,2,1,4]
[4,3,1,5,6,7,8,10,2,9]=>[9,2,10,8,7,6,5,1,3,4]
[2,6,1,5,3,7,8,9,10,4]=>[4,10,9,8,7,3,5,1,6,2]
[5,3,4,1,6,7,9,2,10,8]=>[8,10,2,9,7,6,1,4,3,5]
[2,3,8,1,6,7,4,9,10,5]=>[5,10,9,4,7,6,1,8,3,2]
[6,3,4,5,1,8,2,9,10,7]=>[7,10,9,2,8,1,5,4,3,6]
[2,3,4,10,1,7,8,9,5,6]=>[6,5,9,8,7,1,10,4,3,2]
[9,2,1,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,1,2,9]
[3,2,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,2,3]
[9,3,1,2,4,5,6,7,8,10]=>[10,8,7,6,5,4,2,1,3,9]
[9,2,3,1,4,5,6,7,8,10]=>[10,8,7,6,5,4,1,3,2,9]
[4,2,3,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,3,2,4]
[3,4,2,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,2,4,3]
[8,7,2,4,6,10,1,3,5,9]=>[9,5,3,1,10,6,4,2,7,8]
[2,10,7,9,4,6,8,1,3,5]=>[5,3,1,8,6,4,9,7,10,2]
[6,5,2,4,8,10,1,3,7,9]=>[9,7,3,1,10,8,4,2,5,6]
[2,8,5,7,4,6,10,1,3,9]=>[9,3,1,10,6,4,7,5,8,2]
[10,5,2,4,7,9,6,8,1,3]=>[3,1,8,6,9,7,4,2,5,10]
[10,9,2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2,9,10]
[8,7,6,5,2,4,10,1,3,9]=>[9,3,1,10,4,2,5,6,7,8]
[10,7,2,6,5,9,4,8,1,3]=>[3,1,8,4,9,5,6,2,7,10]
[6,10,5,9,8,7,2,4,1,3]=>[3,1,4,2,7,8,9,5,10,6]
[4,10,3,9,2,6,8,1,5,7]=>[7,5,1,8,6,2,9,3,10,4]
[4,3,10,7,9,2,6,8,1,5]=>[5,1,8,6,2,9,7,10,3,4]
[3,6,2,5,4,8,10,1,7,9]=>[9,7,1,10,8,4,5,2,6,3]
[3,6,10,2,5,9,4,8,1,7]=>[7,1,8,4,9,5,2,10,6,3]
[3,5,8,2,4,7,6,10,1,9]=>[9,1,10,6,7,4,2,8,5,3]
[3,5,7,10,2,4,6,9,8,1]=>[1,8,9,6,4,2,10,7,5,3]
[10,9,3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3,9,10]
[8,7,3,6,2,5,4,10,1,9]=>[9,1,10,4,5,2,6,3,7,8]
[7,6,3,5,10,2,4,9,8,1]=>[1,8,9,4,2,10,5,3,6,7]
[3,6,10,9,8,2,5,7,4,1]=>[1,4,7,5,2,8,9,10,6,3]
[10,9,8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8,9,10]
[5,4,3,8,2,7,6,10,1,9]=>[9,1,10,6,7,2,8,3,4,5]
[5,4,3,7,10,2,6,9,8,1]=>[1,8,9,6,2,10,7,3,4,5]
[5,10,4,9,3,8,2,7,6,1]=>[1,6,7,2,8,3,9,4,10,5]
[4,8,3,7,6,5,2,10,1,9]=>[9,1,10,2,5,6,7,3,8,4]
[4,7,3,6,5,10,2,9,8,1]=>[1,8,9,2,10,5,6,3,7,4]
[4,6,10,3,5,9,8,7,2,1]=>[1,2,7,8,9,5,3,10,6,4]
[10,9,4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4,9,10]
[7,6,5,4,3,10,2,9,8,1]=>[1,8,9,2,10,3,4,5,6,7]
[6,5,4,10,3,9,8,7,2,1]=>[1,2,7,8,9,3,10,4,5,6]
[5,10,4,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,4,10,5]
[9,2,3,4,5,6,7,8,1,10]=>[10,1,8,7,6,5,4,3,2,9]
[1,10,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,10,1]
[9,8,3,4,5,6,7,2,1,10]=>[10,1,2,7,6,5,4,3,8,9]
[1,10,9,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,9,10,1]
[8,1,2,3,4,5,6,7,10,9]=>[9,10,7,6,5,4,3,2,1,8]
[2,3,4,5,6,7,9,8,1,10]=>[10,1,8,9,7,6,5,4,3,2]
[1,3,4,5,6,7,8,10,9,2]=>[2,9,10,8,7,6,5,4,3,1]
[1,2,3,4,5,6,10,8,9,7]=>[7,9,8,10,6,5,4,3,2,1]
[1,2,3,4,5,10,7,8,9,6]=>[6,9,8,7,10,5,4,3,2,1]
[1,2,3,4,10,6,7,8,9,5]=>[5,9,8,7,6,10,4,3,2,1]
[1,2,3,10,5,6,7,8,9,4]=>[4,9,8,7,6,5,10,3,2,1]
[1,2,10,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,10,2,1]
[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]
[1,2,3,4,6,8,5,7,10,9]=>[9,10,7,5,8,6,4,3,2,1]
[1,2,3,4,7,5,8,6,10,9]=>[9,10,6,8,5,7,4,3,2,1]
[1,2,3,5,7,4,6,9,8,10]=>[10,8,9,6,4,7,5,3,2,1]
[1,2,3,6,4,7,5,9,8,10]=>[10,8,9,5,7,4,6,3,2,1]
[2,9,1,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,1,9,2]
[2,5,1,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,1,5,2]
[7,10,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,10,7]
[6,10,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,10,6]
[4,10,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,10,4]
[3,10,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,10,3]
[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]
[2,1,10,9,8,6,7,5,4,3]=>[3,4,5,7,6,8,9,10,1,2]
[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]
[7,8,9,1,2,3,4,5,10,6]=>[6,10,5,4,3,2,1,9,8,7]
[2,8,9,10,1,3,4,5,6,7]=>[7,6,5,4,3,1,10,9,8,2]
[8,1,9,2,10,3,4,5,6,7]=>[7,6,5,4,3,10,2,9,1,8]
[7,1,8,2,9,3,10,4,5,6]=>[6,5,4,10,3,9,2,8,1,7]
[5,1,6,2,7,3,8,4,10,9]=>[9,10,4,8,3,7,2,6,1,5]
[4,1,5,2,6,3,8,7,10,9]=>[9,10,7,8,3,6,2,5,1,4]
[5,7,6,10,8,9,4,3,2,1]=>[1,2,3,4,9,8,10,6,7,5]
[4,6,5,8,9,10,3,7,2,1]=>[1,2,7,3,10,9,8,5,6,4]
[5,8,6,10,9,7,4,3,2,1]=>[1,2,3,4,7,9,10,6,8,5]
[4,7,5,9,10,8,6,3,2,1]=>[1,2,3,6,8,10,9,5,7,4]
[4,6,5,8,10,7,3,2,1,9]=>[9,1,2,3,7,10,8,5,6,4]
[6,10,8,1,2,7,5,4,3,9]=>[9,3,4,5,7,2,1,8,10,6]
[6,7,5,10,8,9,4,3,2,1]=>[1,2,3,4,9,8,10,5,7,6]
[5,6,4,8,9,10,3,7,2,1]=>[1,2,7,3,10,9,8,4,6,5]
[6,7,5,10,9,8,4,3,2,1]=>[1,2,3,4,8,9,10,5,7,6]
[5,7,4,8,10,9,6,3,2,1]=>[1,2,3,6,9,10,8,4,7,5]
[5,6,4,7,10,9,3,2,8,1]=>[1,8,2,3,9,10,7,4,6,5]
[8,10,7,1,2,9,6,5,4,3]=>[3,4,5,6,9,2,1,7,10,8]
[7,10,6,1,2,9,5,4,8,3]=>[3,8,4,5,9,2,1,6,10,7]
[7,8,5,10,9,6,4,3,2,1]=>[1,2,3,4,6,9,10,5,8,7]
[5,8,4,9,10,7,6,3,2,1]=>[1,2,3,6,7,10,9,4,8,5]
[5,8,4,9,10,6,3,7,2,1]=>[1,2,7,3,6,10,9,4,8,5]
[5,7,4,8,9,6,3,2,1,10]=>[10,1,2,3,6,9,8,4,7,5]
[9,10,8,1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1,8,10,9]
[9,10,8,1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1,8,10,9]
[8,9,7,1,2,6,5,4,3,10]=>[10,3,4,5,6,2,1,7,9,8]
[6,9,5,10,7,8,4,3,2,1]=>[1,2,3,4,8,7,10,5,9,6]
[6,7,4,10,9,8,5,3,2,1]=>[1,2,3,5,8,9,10,4,7,6]
[5,6,4,10,7,9,3,2,8,1]=>[1,8,2,3,9,7,10,4,6,5]
[7,10,6,1,9,8,5,4,3,2]=>[2,3,4,5,8,9,1,6,10,7]
[6,10,5,1,7,9,4,3,8,2]=>[2,8,3,4,9,7,1,5,10,6]
[7,9,5,10,8,6,4,3,2,1]=>[1,2,3,4,6,8,10,5,9,7]
[7,8,4,10,9,6,5,3,2,1]=>[1,2,3,5,6,9,10,4,8,7]
[5,8,4,10,9,6,3,7,2,1]=>[1,2,7,3,6,9,10,4,8,5]
[5,7,4,9,8,6,3,2,1,10]=>[10,1,2,3,6,8,9,4,7,5]
[8,10,7,1,9,6,5,4,3,2]=>[2,3,4,5,6,9,1,7,10,8]
[8,10,5,1,9,6,4,7,3,2]=>[2,3,7,4,6,9,1,5,10,8]
[7,9,5,1,8,6,4,3,2,10]=>[10,2,3,4,6,8,1,5,9,7]
[5,9,4,1,10,8,6,7,3,2]=>[2,3,7,6,8,10,1,4,9,5]
[5,8,4,1,9,7,6,3,2,10]=>[10,2,3,6,7,9,1,4,8,5]
[7,10,6,2,9,8,5,4,3,1]=>[1,3,4,5,8,9,2,6,10,7]
[6,10,5,2,7,9,4,3,8,1]=>[1,8,3,4,9,7,2,5,10,6]
[8,10,7,2,9,6,5,4,3,1]=>[1,3,4,5,6,9,2,7,10,8]
[8,10,5,2,9,6,4,7,3,1]=>[1,3,7,4,6,9,2,5,10,8]
[7,9,5,2,8,6,4,3,1,10]=>[10,1,3,4,6,8,2,5,9,7]
[5,9,4,2,10,8,6,7,3,1]=>[1,3,7,6,8,10,2,4,9,5]
[5,8,4,2,9,7,6,3,1,10]=>[10,1,3,6,7,9,2,4,8,5]
[2,1,3,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,3,1,2]
[2,1,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,1,2]
[7,1,2,3,4,5,8,9,10,6]=>[6,10,9,8,5,4,3,2,1,7]
[6,1,2,3,4,7,8,9,10,5]=>[5,10,9,8,7,4,3,2,1,6]
[5,1,2,3,6,7,8,9,10,4]=>[4,10,9,8,7,6,3,2,1,5]
[1,3,5,7,10,2,4,6,8,9]=>[9,8,6,4,2,10,7,5,3,1]
[7,10,1,3,5,9,2,4,6,8]=>[8,6,4,2,9,5,3,1,10,7]
[5,7,1,3,6,10,2,4,8,9]=>[9,8,4,2,10,6,3,1,7,5]
[10,5,7,1,3,6,9,2,4,8]=>[8,4,2,9,6,3,1,7,5,10]
[5,6,10,9,1,3,8,2,4,7]=>[7,4,2,8,3,1,9,10,6,5]
[3,5,1,4,7,10,2,6,8,9]=>[9,8,6,2,10,7,4,1,5,3]
[3,4,7,10,1,5,9,2,6,8]=>[8,6,2,9,5,1,10,7,4,3]
[7,3,5,1,4,6,10,2,8,9]=>[9,8,2,10,6,4,1,5,3,7]
[4,10,3,7,1,5,6,9,2,8]=>[8,2,9,6,5,1,7,3,10,4]
[6,4,10,3,9,1,5,8,2,7]=>[7,2,8,5,1,9,3,10,4,6]
[3,4,7,6,1,5,10,2,8,9]=>[9,8,2,10,5,1,6,7,4,3]
[3,4,6,10,7,1,5,9,2,8]=>[8,2,9,5,1,7,10,6,4,3]
[4,10,3,6,5,9,1,8,2,7]=>[7,2,8,1,9,5,6,3,10,4]
[3,4,5,10,9,8,1,7,2,6]=>[6,2,7,1,8,9,10,5,4,3]
[1,3,2,5,7,10,4,6,8,9]=>[9,8,6,4,10,7,5,2,3,1]
[1,2,7,10,3,5,9,4,6,8]=>[8,6,4,9,5,3,10,7,2,1]
[1,2,5,7,3,6,10,4,8,9]=>[9,8,4,10,6,3,7,5,2,1]
[10,1,2,5,7,3,6,9,4,8]=>[8,4,9,6,3,7,5,2,1,10]
[5,6,10,1,2,9,3,8,4,7]=>[7,4,8,3,9,2,1,10,6,5]
[5,1,3,2,4,7,10,6,8,9]=>[9,8,6,10,7,4,2,3,1,5]
[4,1,2,7,10,3,5,9,6,8]=>[8,6,9,5,3,10,7,2,1,4]
[2,7,1,5,3,4,6,10,8,9]=>[9,8,10,6,4,3,5,1,7,2]
[2,4,10,1,7,3,5,6,9,8]=>[8,9,6,5,3,7,1,10,4,2]
[6,2,4,10,1,9,3,5,8,7]=>[7,8,5,3,9,1,10,4,2,6]
[4,2,7,1,6,3,5,10,8,9]=>[9,8,10,5,3,6,1,7,2,4]
[4,2,6,10,1,7,3,5,9,8]=>[8,9,5,3,7,1,10,6,2,4]
[2,4,10,6,1,5,9,3,8,7]=>[7,8,3,9,5,1,6,10,4,2]
[4,2,5,10,9,1,8,3,7,6]=>[6,7,3,8,1,9,10,5,2,4]
[1,2,5,4,3,7,10,6,8,9]=>[9,8,6,10,7,3,4,5,2,1]
[1,2,4,3,7,10,5,9,6,8]=>[8,6,9,5,10,7,3,4,2,1]
[1,2,4,7,5,3,6,10,8,9]=>[9,8,10,6,3,5,7,4,2,1]
[10,1,2,4,3,7,5,6,9,8]=>[8,9,6,5,7,3,4,2,1,10]
[6,10,1,2,4,3,9,5,8,7]=>[7,8,5,9,3,4,2,1,10,6]
[2,7,1,4,3,6,5,10,8,9]=>[9,8,10,5,6,3,4,1,7,2]
[2,6,1,3,10,4,7,5,9,8]=>[8,9,5,7,4,10,3,1,6,2]
[10,2,6,1,4,3,5,9,8,7]=>[7,8,9,5,3,4,1,6,2,10]
[2,5,3,10,1,9,4,8,7,6]=>[6,7,8,4,9,1,10,3,5,2]
[1,2,3,7,6,5,4,10,8,9]=>[9,8,10,4,5,6,7,3,2,1]
[1,2,3,6,5,10,7,4,9,8]=>[8,9,4,7,10,5,6,3,2,1]
[5,1,2,3,10,6,4,9,8,7]=>[7,8,9,4,6,10,3,2,1,5]
[2,3,10,1,5,4,9,8,7,6]=>[6,7,8,9,4,5,1,10,3,2]
[9,7,5,4,3,2,1,10,8,6]=>[6,8,10,1,2,3,4,5,7,9]
[8,6,5,4,3,2,1,9,7,10]=>[10,7,9,1,2,3,4,5,6,8]
[9,7,5,3,2,1,10,8,6,4]=>[4,6,8,10,1,2,3,5,7,9]
[8,6,4,3,2,1,9,7,5,10]=>[10,5,7,9,1,2,3,4,6,8]
[8,5,4,3,2,1,9,6,10,7]=>[7,10,6,9,1,2,3,4,5,8]
[7,5,4,3,2,1,8,6,9,10]=>[10,9,6,8,1,2,3,4,5,7]
[8,6,4,2,1,9,7,5,3,10]=>[10,3,5,7,9,1,2,4,6,8]
[8,5,3,2,1,9,6,4,10,7]=>[7,10,4,6,9,1,2,3,5,8]
[7,5,3,2,1,8,6,4,9,10]=>[10,9,4,6,8,1,2,3,5,7]
[7,4,3,2,1,8,5,9,6,10]=>[10,6,9,5,8,1,2,3,4,7]
[6,4,3,2,1,7,5,8,9,10]=>[10,9,8,5,7,1,2,3,4,6]
[8,5,3,1,9,6,4,2,10,7]=>[7,10,2,4,6,9,1,3,5,8]
[7,5,3,1,8,6,4,2,9,10]=>[10,9,2,4,6,8,1,3,5,7]
[8,5,2,1,9,6,3,10,7,4]=>[4,7,10,3,6,9,1,2,5,8]
[7,4,2,1,8,5,3,9,6,10]=>[10,6,9,3,5,8,1,2,4,7]
[6,4,2,1,7,5,3,8,9,10]=>[10,9,8,3,5,7,1,2,4,6]
[7,3,2,1,8,4,9,5,10,6]=>[6,10,5,9,4,8,1,2,3,7]
[6,3,2,1,7,4,8,5,9,10]=>[10,9,5,8,4,7,1,2,3,6]
[5,3,2,1,6,4,7,8,9,10]=>[10,9,8,7,4,6,1,2,3,5]
[7,4,1,8,5,2,9,6,3,10]=>[10,3,6,9,2,5,8,1,4,7]
[7,3,1,8,4,2,9,5,10,6]=>[6,10,5,9,2,4,8,1,3,7]
[6,3,1,7,4,2,8,5,9,10]=>[10,9,5,8,2,4,7,1,3,6]
[5,3,1,6,4,2,7,8,9,10]=>[10,9,8,7,2,4,6,1,3,5]
[6,2,1,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,1,2,6]
[5,2,1,6,3,7,4,8,9,10]=>[10,9,8,4,7,3,6,1,2,5]
[4,2,1,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,1,2,4]
[5,1,6,2,7,3,8,4,9,10]=>[10,9,4,8,3,7,2,6,1,5]
[4,1,5,2,6,3,7,8,9,10]=>[10,9,8,7,3,6,2,5,1,4]
[3,1,4,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,4,1,3]
[1,9,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,9,1]
[10,2,8,4,6,5,3,7,1,9]=>[9,1,7,3,5,6,4,8,2,10]
[10,2,9,4,6,5,3,7,8,1]=>[1,8,7,3,5,6,4,9,2,10]
[10,2,8,4,7,5,6,3,1,9]=>[9,1,3,6,5,7,4,8,2,10]
[10,2,9,4,7,5,6,3,8,1]=>[1,8,3,6,5,7,4,9,2,10]
[10,2,9,4,8,5,6,7,3,1]=>[1,3,7,6,5,8,4,9,2,10]
[10,2,8,6,5,4,3,7,1,9]=>[9,1,7,3,4,5,6,8,2,10]
[10,2,9,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,9,2,10]
[10,2,8,7,5,4,6,3,1,9]=>[9,1,3,6,4,5,7,8,2,10]
[10,2,9,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,9,2,10]
[10,2,9,8,5,4,6,7,3,1]=>[1,3,7,6,4,5,8,9,2,10]
[10,2,8,7,6,5,4,3,1,9]=>[9,1,3,4,5,6,7,8,2,10]
[10,2,9,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,9,2,10]
[10,2,9,8,6,5,4,7,3,1]=>[1,3,7,4,5,6,8,9,2,10]
[10,2,9,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,9,2,10]
[10,8,3,4,6,5,2,7,1,9]=>[9,1,7,2,5,6,4,3,8,10]
[10,9,3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3,9,10]
[10,8,3,4,7,5,6,2,1,9]=>[9,1,2,6,5,7,4,3,8,10]
[10,9,3,4,7,5,6,2,8,1]=>[1,8,2,6,5,7,4,3,9,10]
[10,9,3,4,8,5,6,7,2,1]=>[1,2,7,6,5,8,4,3,9,10]
[10,8,3,6,5,4,2,7,1,9]=>[9,1,7,2,4,5,6,3,8,10]
[10,9,3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3,9,10]
[10,8,3,7,5,4,6,2,1,9]=>[9,1,2,6,4,5,7,3,8,10]
[10,9,3,7,5,4,6,2,8,1]=>[1,8,2,6,4,5,7,3,9,10]
[10,9,3,8,5,4,6,7,2,1]=>[1,2,7,6,4,5,8,3,9,10]
[10,8,3,7,6,5,4,2,1,9]=>[9,1,2,4,5,6,7,3,8,10]
[10,9,3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3,9,10]
[10,9,3,8,6,5,4,7,2,1]=>[1,2,7,4,5,6,8,3,9,10]
[10,9,3,8,7,5,6,4,2,1]=>[1,2,4,6,5,7,8,3,9,10]
[10,8,6,4,5,3,2,7,1,9]=>[9,1,7,2,3,5,4,6,8,10]
[10,9,6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6,9,10]
[10,8,7,4,5,3,6,2,1,9]=>[9,1,2,6,3,5,4,7,8,10]
[10,9,7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7,9,10]
[10,9,8,4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4,8,9,10]
[10,8,7,4,6,5,3,2,1,9]=>[9,1,2,3,5,6,4,7,8,10]
[10,9,7,4,6,5,3,2,8,1]=>[1,8,2,3,5,6,4,7,9,10]
[10,9,8,4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4,8,9,10]
[10,9,8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8,9,10]
[10,9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9,10]
[10,9,8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8,9,10]
[10,9,8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8,9,10]
[1,2,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,2,1]
[10,3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3,10]
[9,3,4,5,6,7,8,1,10,2]=>[2,10,1,8,7,6,5,4,3,9]
[8,3,4,5,6,7,1,9,10,2]=>[2,10,9,1,7,6,5,4,3,8]
[7,3,4,5,6,1,8,9,10,2]=>[2,10,9,8,1,6,5,4,3,7]
[6,3,4,5,1,7,8,9,10,2]=>[2,10,9,8,7,1,5,4,3,6]
[5,3,4,1,6,7,8,9,10,2]=>[2,10,9,8,7,6,1,4,3,5]
[4,3,1,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,1,3,4]
[10,9,4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4,9,10]
[10,3,8,5,6,7,1,9,2,4]=>[4,2,9,1,7,6,5,8,3,10]
[10,3,4,7,6,1,8,9,2,5]=>[5,2,9,8,1,6,7,4,3,10]
[10,3,4,5,1,7,8,9,2,6]=>[6,2,9,8,7,1,5,4,3,10]
[5,3,4,1,6,10,8,9,2,7]=>[7,2,9,8,10,6,1,4,3,5]
[4,3,1,5,6,7,10,9,2,8]=>[8,2,9,10,7,6,5,1,3,4]
[3,1,4,5,6,7,8,10,2,9]=>[9,2,10,8,7,6,5,4,1,3]
[10,9,1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1,9,10]
[7,6,1,3,5,10,2,4,8,9]=>[9,8,4,2,10,5,3,1,6,7]
[6,10,7,9,1,3,8,2,4,5]=>[5,4,2,8,3,1,9,7,10,6]
[10,9,8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8,9,10]
[5,4,1,3,7,10,2,6,8,9]=>[9,8,6,2,10,7,3,1,4,5]
[3,10,4,9,1,5,8,2,6,7]=>[7,6,2,8,5,1,9,4,10,3]
[4,7,5,6,1,3,10,2,8,9]=>[9,8,2,10,3,1,6,5,7,4]
[4,6,10,5,7,9,1,8,2,3]=>[3,2,8,1,9,7,5,10,6,4]
[10,9,4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4,9,10]
[7,6,5,4,1,3,10,2,8,9]=>[9,8,2,10,3,1,4,5,6,7]
[6,5,4,10,7,9,1,8,2,3]=>[3,2,8,1,9,7,10,4,5,6]
[5,10,6,9,8,7,1,4,2,3]=>[3,2,4,1,7,8,9,6,10,5]
[10,9,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,9,10]
[3,2,1,5,7,10,4,6,8,9]=>[9,8,6,4,10,7,5,1,2,3]
[1,10,2,9,3,5,8,4,6,7]=>[7,6,4,8,5,3,9,2,10,1]
[1,7,2,6,3,5,10,4,8,9]=>[9,8,4,10,5,3,6,2,7,1]
[1,6,10,2,7,9,3,8,4,5]=>[5,4,8,3,9,7,2,10,6,1]
[10,9,1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1,9,10]
[2,5,3,4,1,7,10,6,8,9]=>[9,8,6,10,7,1,4,3,5,2]
[10,2,4,1,9,3,5,8,6,7]=>[7,6,8,5,3,9,1,4,2,10]
[2,4,7,3,5,6,1,10,8,9]=>[9,8,10,1,6,5,3,7,4,2]
[2,4,6,10,3,5,7,9,8,1]=>[1,8,9,7,5,3,10,6,4,2]
[10,9,2,4,8,3,5,7,6,1]=>[1,6,7,5,3,8,4,2,9,10]
[7,6,2,5,3,4,1,10,8,9]=>[9,8,10,1,4,3,5,2,6,7]
[6,5,2,4,10,3,7,9,8,1]=>[1,8,9,7,3,10,4,2,5,6]
[5,10,6,9,2,8,3,7,4,1]=>[1,4,7,3,8,2,9,6,10,5]
[10,9,8,7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7,8,9,10]
[5,4,3,2,1,7,10,6,8,9]=>[9,8,6,10,7,1,2,3,4,5]
[3,2,1,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,1,2,3]
[4,3,2,7,5,6,1,10,8,9]=>[9,8,10,1,6,5,7,2,3,4]
[4,3,2,6,10,5,7,9,8,1]=>[1,8,9,7,5,10,6,2,3,4]
[2,10,3,9,4,8,5,7,6,1]=>[1,6,7,5,8,4,9,3,10,2]
[3,7,4,6,5,2,1,10,8,9]=>[9,8,10,1,2,5,6,4,7,3]
[3,6,4,5,2,10,7,9,8,1]=>[1,8,9,7,10,2,5,4,6,3]
[3,5,10,4,6,9,8,7,2,1]=>[1,2,7,8,9,6,4,10,5,3]
[10,9,3,8,4,7,6,5,2,1]=>[1,2,5,6,7,4,8,3,9,10]
[7,6,5,4,3,2,1,10,8,9]=>[9,8,10,1,2,3,4,5,6,7]
[6,5,4,3,2,10,7,9,8,1]=>[1,8,9,7,10,2,3,4,5,6]
[5,4,3,10,6,9,8,7,2,1]=>[1,2,7,8,9,6,10,3,4,5]
[4,10,5,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,5,10,4]
[9,2,3,4,5,6,7,10,1,8]=>[8,1,10,7,6,5,4,3,2,9]
[9,2,3,4,5,6,10,8,1,7]=>[7,1,8,10,6,5,4,3,2,9]
[9,2,3,4,5,10,7,8,1,6]=>[6,1,8,7,10,5,4,3,2,9]
[9,2,3,4,10,6,7,8,1,5]=>[5,1,8,7,6,10,4,3,2,9]
[9,2,3,10,5,6,7,8,1,4]=>[4,1,8,7,6,5,10,3,2,9]
[9,2,10,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,10,2,9]
[10,9,3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3,9,10]
[2,10,4,5,6,7,8,9,1,3]=>[3,1,9,8,7,6,5,4,10,2]
[9,8,4,5,6,7,1,2,10,3]=>[3,10,2,1,7,6,5,4,8,9]
[2,10,9,5,6,7,8,1,3,4]=>[4,3,1,8,7,6,5,9,10,2]
[9,3,8,5,6,7,1,2,10,4]=>[4,10,2,1,7,6,5,8,3,9]
[9,7,4,5,6,1,8,2,10,3]=>[3,10,2,8,1,6,5,4,7,9]
[2,10,4,9,6,7,8,1,3,5]=>[5,3,1,8,7,6,9,4,10,2]
[2,10,8,5,6,7,1,9,3,4]=>[4,3,9,1,7,6,5,8,10,2]
[1,3,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,3,1]
[1,4,2,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,2,4,1]
[1,4,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,4,1]
[1,5,2,6,3,7,4,8,9,10]=>[10,9,8,4,7,3,6,2,5,1]
[1,5,2,3,6,4,7,8,9,10]=>[10,9,8,7,4,6,3,2,5,1]
[1,5,2,6,3,4,7,8,9,10]=>[10,9,8,7,4,3,6,2,5,1]
[1,5,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,5,1]
[1,5,2,4,3,6,7,8,9,10]=>[10,9,8,7,6,3,4,2,5,1]
[1,6,2,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,2,6,1]
[1,6,2,3,7,4,8,5,9,10]=>[10,9,5,8,4,7,3,2,6,1]
[1,6,2,7,3,4,5,8,9,10]=>[10,9,8,5,4,3,7,2,6,1]
[1,6,2,3,4,7,5,8,9,10]=>[10,9,8,5,7,4,3,2,6,1]
[1,6,2,4,3,7,5,8,9,10]=>[10,9,8,5,7,3,4,2,6,1]
[1,6,2,4,3,5,7,8,9,10]=>[10,9,8,7,5,3,4,2,6,1]
[1,6,2,5,3,4,7,8,9,10]=>[10,9,8,7,4,3,5,2,6,1]
[1,7,2,8,3,4,5,9,6,10]=>[10,6,9,5,4,3,8,2,7,1]
[1,7,2,3,4,8,5,9,6,10]=>[10,6,9,5,8,4,3,2,7,1]
[1,7,2,8,3,9,4,5,6,10]=>[10,6,5,4,9,3,8,2,7,1]
[1,7,2,4,3,8,5,6,9,10]=>[10,9,6,5,8,3,4,2,7,1]
[1,7,2,4,3,5,8,6,9,10]=>[10,9,6,8,5,3,4,2,7,1]
[1,7,2,8,3,5,4,6,9,10]=>[10,9,6,4,5,3,8,2,7,1]
[1,7,2,5,3,4,8,6,9,10]=>[10,9,6,8,4,3,5,2,7,1]
[1,7,2,5,3,4,6,8,9,10]=>[10,9,8,6,4,3,5,2,7,1]
[1,7,2,6,3,5,4,8,9,10]=>[10,9,8,4,5,3,6,2,7,1]
[1,8,2,5,3,9,4,10,6,7]=>[7,6,10,4,9,3,5,2,8,1]
[1,8,2,9,3,5,4,6,7,10]=>[10,7,6,4,5,3,9,2,8,1]
[1,8,2,5,3,4,9,6,7,10]=>[10,7,6,9,4,3,5,2,8,1]
[1,8,2,5,3,4,6,9,7,10]=>[10,7,9,6,4,3,5,2,8,1]
[1,8,2,6,3,9,4,5,7,10]=>[10,7,5,4,9,3,6,2,8,1]
[1,8,2,6,3,4,5,9,7,10]=>[10,7,9,5,4,3,6,2,8,1]
[1,8,2,6,3,5,4,7,9,10]=>[10,9,7,4,5,3,6,2,8,1]
[1,8,2,7,3,6,4,5,9,10]=>[10,9,5,4,6,3,7,2,8,1]
[1,9,2,10,3,7,4,8,5,6]=>[6,5,8,4,7,3,10,2,9,1]
[1,9,2,7,3,5,4,10,6,8]=>[8,6,10,4,5,3,7,2,9,1]
[1,9,2,7,3,5,4,6,10,8]=>[8,10,6,4,5,3,7,2,9,1]
[1,9,2,7,3,6,4,5,8,10]=>[10,8,5,4,6,3,7,2,9,1]
[1,9,2,8,3,7,4,6,5,10]=>[10,5,6,4,7,3,8,2,9,1]
[1,10,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,10,1]
[9,2,3,4,5,6,7,8,10,1]=>[1,10,8,7,6,5,4,3,2,9]
[8,2,3,4,5,6,7,10,9,1]=>[1,9,10,7,6,5,4,3,2,8]
[7,2,3,4,5,6,10,8,9,1]=>[1,9,8,10,6,5,4,3,2,7]
[6,2,3,4,5,10,7,8,9,1]=>[1,9,8,7,10,5,4,3,2,6]
[5,2,3,4,10,6,7,8,9,1]=>[1,9,8,7,6,10,4,3,2,5]
[4,2,3,10,5,6,7,8,9,1]=>[1,9,8,7,6,5,10,3,2,4]
[3,2,10,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,10,2,3]
[2,10,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,10,2]
[2,3,4,6,7,5,8,9,1,10]=>[10,1,9,8,5,7,6,4,3,2]
[1,3,4,5,7,8,6,9,10,2]=>[2,10,9,6,8,7,5,4,3,1]
[9,7,5,3,1,8,6,4,2,10]=>[10,2,4,6,8,1,3,5,7,9]
[1,10,8,6,4,2,9,7,5,3]=>[3,5,7,9,2,4,6,8,10,1]
[3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]
[4,2,1,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,1,2,4]
[2,4,7,1,3,5,6,8,9,10]=>[10,9,8,6,5,3,1,7,4,2]
[6,3,5,1,2,4,7,8,9,10]=>[10,9,8,7,4,2,1,5,3,6]
[5,3,2,1,4,6,7,8,9,10]=>[10,9,8,7,6,4,1,2,3,5]
[2,4,6,9,1,3,5,7,8,10]=>[10,8,7,5,3,1,9,6,4,2]
[4,3,6,8,1,2,5,7,9,10]=>[10,9,7,5,2,1,8,6,3,4]
[3,7,2,5,1,4,6,8,9,10]=>[10,9,8,6,4,1,5,2,7,3]
[7,4,2,6,1,3,5,8,9,10]=>[10,9,8,5,3,1,6,2,4,7]
[6,4,3,2,1,5,7,8,9,10]=>[10,9,8,7,5,1,2,3,4,6]
[4,3,7,8,10,1,2,5,6,9]=>[9,6,5,2,1,10,8,7,3,4]
[5,9,2,6,8,1,3,4,7,10]=>[10,7,4,3,1,8,6,2,9,5]
[5,4,2,7,9,1,3,6,8,10]=>[10,8,6,3,1,9,7,2,4,5]
[8,5,7,3,4,1,2,6,9,10]=>[10,9,6,2,1,4,3,7,5,8]
[8,5,3,2,7,1,4,6,9,10]=>[10,9,6,4,1,7,2,3,5,8]
[7,5,4,3,2,1,6,8,9,10]=>[10,9,8,6,1,2,3,4,5,7]
[5,7,2,6,9,10,1,3,4,8]=>[8,4,3,1,10,9,6,2,7,5]
[5,4,2,8,9,10,1,3,6,7]=>[7,6,3,1,10,9,8,2,4,5]
[3,6,10,2,5,8,1,4,7,9]=>[9,7,4,1,8,5,2,10,6,3]
[6,5,3,2,8,10,1,4,7,9]=>[9,7,4,1,10,8,2,3,5,6]
[4,9,3,7,2,6,1,5,8,10]=>[10,8,5,1,6,2,7,3,9,4]
[9,6,4,8,2,5,1,3,7,10]=>[10,7,3,1,5,2,8,4,6,9]
[9,6,4,3,2,8,1,5,7,10]=>[10,7,5,1,8,2,3,4,6,9]
[8,6,5,4,3,2,1,7,9,10]=>[10,9,7,1,2,3,4,5,6,8]
[6,4,9,10,3,7,8,1,2,5]=>[5,2,1,8,7,3,10,9,4,6]
[7,10,3,8,2,5,9,1,4,6]=>[6,4,1,9,5,2,8,3,10,7]
[10,7,4,9,2,6,8,1,3,5]=>[5,3,1,8,6,2,9,4,7,10]
[7,6,4,3,2,9,10,1,5,8]=>[8,5,1,10,9,2,3,4,6,7]
[10,7,9,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,9,7,10]
[10,7,5,3,9,2,6,1,4,8]=>[8,4,1,6,2,9,3,5,7,10]
[10,7,5,4,3,2,9,1,6,8]=>[8,6,1,9,2,3,4,5,7,10]
[9,7,6,5,4,3,2,1,8,10]=>[10,8,1,2,3,4,5,6,7,9]
[10,8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8,10]
[10,8,6,4,3,9,2,7,1,5]=>[5,1,7,2,9,3,4,6,8,10]
[10,8,6,5,4,3,2,9,1,7]=>[7,1,9,2,3,4,5,6,8,10]
[10,3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3,10]
[9,1,2,3,4,5,6,8,7,10]=>[10,7,8,6,5,4,3,2,1,9]
[1,10,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,10,1]
[1,3,4,5,6,7,8,10,2,9]=>[9,2,10,8,7,6,5,4,3,1]
[1,3,4,5,6,7,8,9,2,10]=>[10,2,9,8,7,6,5,4,3,1]
[9,8,1,10,7,6,5,4,3,2]=>[2,3,4,5,6,7,10,1,8,9]
[4,5,10,9,8,7,1,6,3,2]=>[2,3,6,1,7,8,9,10,5,4]
[1,2,3,4,5,6,8,10,9,7]=>[7,9,10,8,6,5,4,3,2,1]
[1,2,3,4,5,7,8,10,9,6]=>[6,9,10,8,7,5,4,3,2,1]
[1,2,3,4,5,7,9,10,8,6]=>[6,8,10,9,7,5,4,3,2,1]
[1,2,3,4,5,7,10,9,8,6]=>[6,8,9,10,7,5,4,3,2,1]
[1,2,3,4,6,7,8,10,9,5]=>[5,9,10,8,7,6,4,3,2,1]
[1,2,3,4,6,7,9,10,8,5]=>[5,8,10,9,7,6,4,3,2,1]
[1,2,3,4,6,7,10,9,8,5]=>[5,8,9,10,7,6,4,3,2,1]
[1,2,3,4,6,8,10,9,7,5]=>[5,7,9,10,8,6,4,3,2,1]
[1,2,3,4,6,10,9,8,7,5]=>[5,7,8,9,10,6,4,3,2,1]
[1,2,3,5,6,7,9,10,8,4]=>[4,8,10,9,7,6,5,3,2,1]
[1,2,3,5,6,7,10,9,8,4]=>[4,8,9,10,7,6,5,3,2,1]
[1,2,3,5,6,8,9,10,7,4]=>[4,7,10,9,8,6,5,3,2,1]
[1,2,3,5,6,8,10,9,7,4]=>[4,7,9,10,8,6,5,3,2,1]
[1,2,3,5,6,10,9,8,7,4]=>[4,7,8,9,10,6,5,3,2,1]
[1,2,3,5,7,9,10,8,6,4]=>[4,6,8,10,9,7,5,3,2,1]
[1,2,3,5,7,10,9,8,6,4]=>[4,6,8,9,10,7,5,3,2,1]
[1,2,3,5,10,9,8,7,6,4]=>[4,6,7,8,9,10,5,3,2,1]
[1,2,4,5,7,8,10,9,6,3]=>[3,6,9,10,8,7,5,4,2,1]
[1,2,4,5,7,9,10,8,6,3]=>[3,6,8,10,9,7,5,4,2,1]
[1,2,4,5,7,10,9,8,6,3]=>[3,6,8,9,10,7,5,4,2,1]
[1,2,4,5,10,9,8,7,6,3]=>[3,6,7,8,9,10,5,4,2,1]
[1,2,4,6,10,9,8,7,5,3]=>[3,5,7,8,9,10,6,4,2,1]
[1,2,4,10,9,8,7,6,5,3]=>[3,5,6,7,8,9,10,4,2,1]
[1,3,5,7,9,10,8,6,4,2]=>[2,4,6,8,10,9,7,5,3,1]
[1,3,5,7,10,9,8,6,4,2]=>[2,4,6,8,9,10,7,5,3,1]
[1,3,5,10,9,8,7,6,4,2]=>[2,4,6,7,8,9,10,5,3,1]
[1,3,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,3,1]
[9,1,8,2,3,4,5,6,10,7]=>[7,10,6,5,4,3,2,8,1,9]
[9,7,1,2,3,4,5,6,10,8]=>[8,10,6,5,4,3,2,1,7,9]
[2,10,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,10,2]
[2,10,8,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,8,10,2]
[4,1,3,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,3,1,4]
[6,1,2,4,5,3,7,8,9,10]=>[10,9,8,7,3,5,4,2,1,6]
[5,4,1,2,3,6,7,8,9,10]=>[10,9,8,7,6,3,2,1,4,5]
[8,1,2,3,5,6,7,4,9,10]=>[10,9,4,7,6,5,3,2,1,8]
[7,5,1,2,4,6,3,8,9,10]=>[10,9,8,3,6,4,2,1,5,7]
[4,1,6,3,5,2,7,8,9,10]=>[10,9,8,7,2,5,3,6,1,4]
[9,6,1,2,3,4,7,8,5,10]=>[10,5,8,7,4,3,2,1,6,9]
[8,1,7,3,2,6,4,5,9,10]=>[10,9,5,4,6,2,3,7,1,8]
[8,3,6,1,2,5,7,4,9,10]=>[10,9,4,7,5,2,1,6,3,8]
[5,7,1,6,2,4,3,8,9,10]=>[10,9,8,3,4,2,6,1,7,5]
[7,3,4,6,1,2,5,8,9,10]=>[10,9,8,5,2,1,6,4,3,7]
[10,1,8,3,2,4,7,6,9,5]=>[5,9,6,7,4,2,3,8,1,10]
[10,3,7,1,2,4,5,8,9,6]=>[6,9,8,5,4,2,1,7,3,10]
[6,1,2,9,4,5,7,8,3,10]=>[10,3,8,7,5,4,9,2,1,6]
[9,8,1,7,3,2,4,6,5,10]=>[10,5,6,4,2,3,7,1,8,9]
[9,3,4,7,1,2,6,8,5,10]=>[10,5,8,6,2,1,7,4,3,9]
[4,1,6,3,8,5,7,2,9,10]=>[10,9,2,7,5,8,3,6,1,4]
[6,8,5,1,7,2,3,4,9,10]=>[10,9,4,3,2,7,1,5,8,6]
[8,3,4,5,7,1,2,6,9,10]=>[10,9,6,2,1,7,5,4,3,8]
[7,10,1,2,8,4,5,3,9,6]=>[6,9,3,5,4,8,2,1,10,7]
[10,1,6,3,9,5,2,8,4,7]=>[7,4,8,2,5,9,3,6,1,10]
[10,9,5,1,8,3,2,6,7,4]=>[4,7,6,2,3,8,1,5,9,10]
[10,3,4,5,8,1,2,7,9,6]=>[6,9,7,2,1,8,5,4,3,10]
[5,7,1,9,2,8,4,6,3,10]=>[10,3,6,4,8,2,9,1,7,5]
[7,9,4,6,1,8,2,3,5,10]=>[10,5,3,2,8,1,6,4,9,7]
[9,3,4,5,6,8,1,2,7,10]=>[10,7,2,1,8,6,5,4,3,9]
[4,1,6,3,8,5,10,7,9,2]=>[2,9,7,10,5,8,3,6,1,4]
[6,8,10,1,7,2,9,3,5,4]=>[4,5,3,9,2,7,1,10,8,6]
[8,10,4,5,7,1,9,2,3,6]=>[6,3,2,9,1,7,5,4,10,8]
[10,3,4,5,6,7,9,1,2,8]=>[8,2,1,9,7,6,5,4,3,10]
[3,5,7,9,1,2,4,6,8,10]=>[10,8,6,4,2,1,9,7,5,3]
[3,5,7,1,2,4,6,8,9,10]=>[10,9,8,6,4,2,1,7,5,3]
[3,5,9,1,2,4,6,7,8,10]=>[10,8,7,6,4,2,1,9,5,3]
[3,5,8,1,2,4,6,7,9,10]=>[10,9,7,6,4,2,1,8,5,3]
[3,5,1,2,4,6,7,8,9,10]=>[10,9,8,7,6,4,2,1,5,3]
[3,7,9,1,2,4,5,6,8,10]=>[10,8,6,5,4,2,1,9,7,3]
[3,7,8,1,2,4,5,6,9,10]=>[10,9,6,5,4,2,1,8,7,3]
[3,6,9,1,2,4,5,7,8,10]=>[10,8,7,5,4,2,1,9,6,3]
[3,6,8,1,2,4,5,7,9,10]=>[10,9,7,5,4,2,1,8,6,3]
[3,6,1,2,4,5,7,8,9,10]=>[10,9,8,7,5,4,2,1,6,3]
[3,9,1,2,4,5,6,7,8,10]=>[10,8,7,6,5,4,2,1,9,3]
[3,8,1,2,4,5,6,7,9,10]=>[10,9,7,6,5,4,2,1,8,3]
[3,7,1,2,4,5,6,8,9,10]=>[10,9,8,6,5,4,2,1,7,3]
[5,7,9,1,2,3,4,6,8,10]=>[10,8,6,4,3,2,1,9,7,5]
[5,7,8,1,2,3,4,6,9,10]=>[10,9,6,4,3,2,1,8,7,5]
[5,6,9,1,2,3,4,7,8,10]=>[10,8,7,4,3,2,1,9,6,5]
[5,6,8,1,2,3,4,7,9,10]=>[10,9,7,4,3,2,1,8,6,5]
[5,6,1,2,3,4,7,8,9,10]=>[10,9,8,7,4,3,2,1,6,5]
[4,7,9,1,2,3,5,6,8,10]=>[10,8,6,5,3,2,1,9,7,4]
[4,7,8,1,2,3,5,6,9,10]=>[10,9,6,5,3,2,1,8,7,4]
[4,6,9,1,2,3,5,7,8,10]=>[10,8,7,5,3,2,1,9,6,4]
[4,6,8,1,2,3,5,7,9,10]=>[10,9,7,5,3,2,1,8,6,4]
[4,6,1,2,3,5,7,8,9,10]=>[10,9,8,7,5,3,2,1,6,4]
[4,9,1,2,3,5,6,7,8,10]=>[10,8,7,6,5,3,2,1,9,4]
[4,8,1,2,3,5,6,7,9,10]=>[10,9,7,6,5,3,2,1,8,4]
[4,7,1,2,3,5,6,8,9,10]=>[10,9,8,6,5,3,2,1,7,4]
[4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4]
[7,9,1,2,3,4,5,6,8,10]=>[10,8,6,5,4,3,2,1,9,7]
[7,8,1,2,3,4,5,6,9,10]=>[10,9,6,5,4,3,2,1,8,7]
[6,9,1,2,3,4,5,7,8,10]=>[10,8,7,5,4,3,2,1,9,6]
[6,8,1,2,3,4,5,7,9,10]=>[10,9,7,5,4,3,2,1,8,6]
[6,7,1,2,3,4,5,8,9,10]=>[10,9,8,5,4,3,2,1,7,6]
[5,9,1,2,3,4,6,7,8,10]=>[10,8,7,6,4,3,2,1,9,5]
[5,8,1,2,3,4,6,7,9,10]=>[10,9,7,6,4,3,2,1,8,5]
[5,7,1,2,3,4,6,8,9,10]=>[10,9,8,6,4,3,2,1,7,5]
[5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5]
[8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8]
[7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7]
[6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6]
[3,4,1,6,2,5,8,7,10,9]=>[9,10,7,8,5,2,6,1,4,3]
[10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]
[10,8,6,2,1,4,3,5,7,9]=>[9,7,5,3,4,1,2,6,8,10]
[10,8,4,2,1,6,3,5,7,9]=>[9,7,5,3,6,1,2,4,8,10]
[10,6,4,2,1,8,3,5,7,9]=>[9,7,5,3,8,1,2,4,6,10]
[8,6,4,2,1,10,3,5,7,9]=>[9,7,5,3,10,1,2,4,6,8]
[8,6,4,2,9,1,3,5,7,10]=>[10,7,5,3,1,9,2,4,6,8]
[9,6,4,2,7,1,3,5,8,10]=>[10,8,5,3,1,7,2,4,6,9]
[9,7,4,2,5,1,3,6,8,10]=>[10,8,6,3,1,5,2,4,7,9]
[9,7,5,2,3,1,4,6,8,10]=>[10,8,6,4,1,3,2,5,7,9]
[9,7,5,3,1,2,4,6,8,10]=>[10,8,6,4,2,1,3,5,7,9]
[1,2,10,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,10,2,1]
[1,2,3,9,4,5,6,10,7,8]=>[8,7,10,6,5,4,9,3,2,1]
[1,2,3,4,10,5,6,7,9,8]=>[8,9,7,6,5,10,4,3,2,1]
[1,2,3,4,5,10,6,7,9,8]=>[8,9,7,6,10,5,4,3,2,1]
[1,2,3,4,5,6,9,10,7,8]=>[8,7,10,9,6,5,4,3,2,1]
[8,1,2,3,4,5,9,6,10,7]=>[7,10,6,9,5,4,3,2,1,8]
[7,10,1,2,3,4,5,9,6,8]=>[8,6,9,5,4,3,2,1,10,7]
[6,1,10,2,3,4,5,9,7,8]=>[8,7,9,5,4,3,2,10,1,6]
[5,1,2,3,4,6,9,7,10,8]=>[8,10,7,9,6,4,3,2,1,5]
[4,1,2,3,10,5,6,9,7,8]=>[8,7,9,6,5,10,3,2,1,4]
[3,1,2,4,5,10,6,9,7,8]=>[8,7,9,6,10,5,4,2,1,3]
[9,8,7,6,1,5,4,3,2,10]=>[10,2,3,4,5,1,6,7,8,9]
[8,10,9,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,9,10,8]
[9,1,2,3,4,5,7,10,6,8]=>[8,6,10,7,5,4,3,2,1,9]
[9,1,2,3,5,7,10,4,6,8]=>[8,6,4,10,7,5,3,2,1,9]
[9,1,3,5,7,10,2,4,6,8]=>[8,6,4,2,10,7,5,3,1,9]
[7,8,9,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,9,8,7]
[7,6,8,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,8,6,7]
[7,6,5,8,9,4,3,2,1,10]=>[10,1,2,3,4,9,8,5,6,7]
[7,6,5,4,8,9,3,2,1,10]=>[10,1,2,3,9,8,4,5,6,7]
[7,6,5,4,3,8,9,2,1,10]=>[10,1,2,9,8,3,4,5,6,7]
[7,6,5,4,3,2,8,9,1,10]=>[10,1,9,8,2,3,4,5,6,7]
[9,8,7,6,5,4,2,1,3,10]=>[10,3,1,2,4,5,6,7,8,9]
[9,8,7,6,5,3,2,1,4,10]=>[10,4,1,2,3,5,6,7,8,9]
[9,8,7,6,4,3,2,1,5,10]=>[10,5,1,2,3,4,6,7,8,9]
[9,8,7,5,4,3,2,1,6,10]=>[10,6,1,2,3,4,5,7,8,9]
[9,8,6,5,4,3,2,1,7,10]=>[10,7,1,2,3,4,5,6,8,9]
[7,8,9,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,9,8,7]
[2,8,9,10,7,6,5,4,3,1]=>[1,3,4,5,6,7,10,9,8,2]
[10,1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1,10]
[1,9,3,4,5,6,7,10,2,8]=>[8,2,10,7,6,5,4,3,9,1]
[9,2,3,4,5,6,1,10,8,7]=>[7,8,10,1,6,5,4,3,2,9]
[9,1,10,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,10,1,9]
[8,10,3,4,5,6,7,1,9,2]=>[2,9,1,7,6,5,4,3,10,8]
[10,6,1,2,3,4,9,5,7,8]=>[8,7,5,9,4,3,2,1,6,10]
[10,7,1,2,3,4,9,5,6,8]=>[8,6,5,9,4,3,2,1,7,10]
[9,10,1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1,10,9]
[10,1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1,10]
[10,1,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,1,10]
[5,1,2,3,10,4,6,7,8,9]=>[9,8,7,6,4,10,3,2,1,5]
[7,6,1,2,3,4,10,9,5,8]=>[8,5,9,10,4,3,2,1,6,7]
[9,7,1,2,3,4,8,5,10,6]=>[6,10,5,8,4,3,2,1,7,9]
[5,9,1,2,3,4,6,7,10,8]=>[8,10,7,6,4,3,2,1,9,5]
[10,8,4,9,1,2,3,5,6,7]=>[7,6,5,3,2,1,9,4,8,10]
[2,10,1,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,1,10,2]
[3,1,5,2,10,4,6,7,8,9]=>[9,8,7,6,4,10,2,5,1,3]
[4,1,2,10,3,5,6,7,8,9]=>[9,8,7,6,5,3,10,2,1,4]
[2,3,4,5,6,9,1,10,7,8]=>[8,7,10,1,9,6,5,4,3,2]
[2,3,4,5,8,1,9,10,6,7]=>[7,6,10,9,1,8,5,4,3,2]
[2,3,6,1,7,8,9,10,4,5]=>[5,4,10,9,8,7,1,6,3,2]
[2,5,1,6,7,8,9,10,3,4]=>[4,3,10,9,8,7,6,1,5,2]
[9,10,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,10,9]
[10,9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9,10]
[8,10,9,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,9,10,8]
[10,8,9,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,9,8,10]
[10,9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9,10]
[7,10,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,10,7]
[10,7,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,7,10]
[9,10,7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7,10,9]
[10,9,7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7,9,10]
[10,9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9,10]
[10,6,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,6,10]
[9,10,6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6,10,9]
[10,9,6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6,9,10]
[10,8,9,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,9,8,10]
[10,9,8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8,9,10]
[10,9,8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8,9,10]
[9,10,5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5,10,9]
[10,9,5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5,9,10]
[8,10,9,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,9,10,8]
[10,8,9,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,9,8,10]
[10,9,8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8,9,10]
[9,10,7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7,10,9]
[10,9,7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7,9,10]
[10,9,8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8,9,10]
[10,9,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,9,10]
[10,7,9,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,9,7,10]
[9,10,7,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,7,10,9]
[10,9,7,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,7,9,10]
[10,9,8,7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7,8,9,10]
[10,9,8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8,9,10]
[10,9,8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8,9,10]
[10,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,10]
[3,2,5,4,7,6,9,8,1,10]=>[10,1,8,9,6,7,4,5,2,3]
[3,5,2,4,7,6,9,8,1,10]=>[10,1,8,9,6,7,4,2,5,3]
[3,5,2,7,4,6,9,8,1,10]=>[10,1,8,9,6,4,7,2,5,3]
[3,5,2,7,4,9,6,8,1,10]=>[10,1,8,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,1,10,8]=>[8,10,1,6,9,4,7,2,5,3]
[3,5,2,7,4,8,6,10,9,1]=>[1,9,10,6,8,4,7,2,5,3]
[3,5,2,6,4,8,7,10,9,1]=>[1,9,10,7,8,4,6,2,5,3]
[3,4,2,6,5,8,7,10,9,1]=>[1,9,10,7,8,5,6,2,4,3]
[2,4,3,6,5,8,7,10,9,1]=>[1,9,10,7,8,5,6,3,4,2]
[3,4,5,6,7,8,9,2,10,1]=>[1,10,2,9,8,7,6,5,4,3]
[2,4,5,6,7,8,9,10,3,1]=>[1,3,10,9,8,7,6,5,4,2]
[9,8,7,4,5,6,3,2,10,1]=>[1,10,2,3,6,5,4,7,8,9]
[2,10,9,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,9,10,2]
[3,2,5,4,9,8,6,7,1,10]=>[10,1,7,6,8,9,4,5,2,3]
[3,2,7,6,4,5,9,8,1,10]=>[10,1,8,9,5,4,6,7,2,3]
[3,2,9,6,4,8,5,7,1,10]=>[10,1,7,5,8,4,6,9,2,3]
[3,2,9,8,7,4,5,6,1,10]=>[10,1,6,5,4,7,8,9,2,3]
[5,4,2,3,7,6,9,8,1,10]=>[10,1,8,9,6,7,3,2,4,5]
[5,4,2,3,9,8,6,7,1,10]=>[10,1,7,6,8,9,3,2,4,5]
[7,4,2,6,3,5,9,8,1,10]=>[10,1,8,9,5,3,6,2,4,7]
[9,4,2,6,3,8,5,7,1,10]=>[10,1,7,5,8,3,6,2,4,9]
[1,4,2,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,2,4,1]
[9,4,2,8,7,3,5,6,1,10]=>[10,1,6,5,3,7,8,2,4,9]
[7,6,5,2,3,4,9,8,1,10]=>[10,1,8,9,4,3,2,5,6,7]
[9,6,5,2,3,8,4,7,1,10]=>[10,1,7,4,8,3,2,5,6,9]
[9,8,5,2,7,3,4,6,1,10]=>[10,1,6,4,3,7,2,5,8,9]
[9,8,7,6,2,3,4,5,1,10]=>[10,1,5,4,3,2,6,7,8,9]
[1,3,10,4,6,9,7,8,5,2]=>[2,5,8,7,9,6,4,10,3,1]
[1,3,10,4,8,6,7,9,5,2]=>[2,5,9,7,6,8,4,10,3,1]
[1,3,10,5,6,4,8,9,7,2]=>[2,7,9,8,4,6,5,10,3,1]
[1,3,10,5,8,6,7,4,9,2]=>[2,9,4,7,6,8,5,10,3,1]
[1,3,10,7,5,6,8,4,9,2]=>[2,9,4,8,6,5,7,10,3,1]
[1,5,3,4,10,6,8,9,7,2]=>[2,7,9,8,6,10,4,3,5,1]
[1,5,3,4,10,7,8,6,9,2]=>[2,9,6,8,7,10,4,3,5,1]
[1,7,3,5,6,4,10,8,9,2]=>[2,9,8,10,4,6,5,3,7,1]
[1,7,4,5,3,6,10,8,9,2]=>[2,9,8,10,6,3,5,4,7,1]
[1,9,3,5,8,6,7,4,10,2]=>[2,10,4,7,6,8,5,3,9,1]
[1,9,3,7,5,6,8,4,10,2]=>[2,10,4,8,6,5,7,3,9,1]
[1,9,4,5,3,7,8,6,10,2]=>[2,10,6,8,7,3,5,4,9,1]
[1,9,4,7,5,6,3,8,10,2]=>[2,10,8,3,6,5,7,4,9,1]
[1,9,6,4,5,7,3,8,10,2]=>[2,10,8,3,7,5,4,6,9,1]
[2,3,1,5,10,6,8,9,7,4]=>[4,7,9,8,6,10,5,1,3,2]
[2,3,1,5,10,7,8,6,9,4]=>[4,9,6,8,7,10,5,1,3,2]
[2,3,1,7,5,6,10,8,9,4]=>[4,9,8,10,6,5,7,1,3,2]
[2,3,1,9,5,7,8,6,10,4]=>[4,10,6,8,7,5,9,1,3,2]
[2,3,1,9,6,7,5,8,10,4]=>[4,10,8,5,7,6,9,1,3,2]
[2,5,3,4,1,7,10,8,9,6]=>[6,9,8,10,7,1,4,3,5,2]
[2,5,3,4,1,9,7,8,10,6]=>[6,10,8,7,9,1,4,3,5,2]
[4,2,3,5,1,7,10,8,9,6]=>[6,9,8,10,7,1,5,3,2,4]
[4,2,3,5,1,9,7,8,10,6]=>[6,10,8,7,9,1,5,3,2,4]
[2,7,3,5,6,4,1,9,10,8]=>[8,10,9,1,4,6,5,3,7,2]
[2,7,4,5,3,6,1,9,10,8]=>[8,10,9,1,6,3,5,4,7,2]
[4,2,3,7,5,6,1,9,10,8]=>[8,10,9,1,6,5,7,3,2,4]
[6,2,4,5,3,7,1,9,10,8]=>[8,10,9,1,7,3,5,4,2,6]
[6,3,4,2,5,7,1,9,10,8]=>[8,10,9,1,7,5,2,4,3,6]
[2,9,3,5,8,6,7,4,1,10]=>[10,1,4,7,6,8,5,3,9,2]
[2,9,3,7,5,6,8,4,1,10]=>[10,1,4,8,6,5,7,3,9,2]
[2,9,4,5,3,7,8,6,1,10]=>[10,1,6,8,7,3,5,4,9,2]
[2,9,4,7,5,6,3,8,1,10]=>[10,1,8,3,6,5,7,4,9,2]
[2,9,6,4,5,7,3,8,1,10]=>[10,1,8,3,7,5,4,6,9,2]
[4,2,3,9,5,7,8,6,1,10]=>[10,1,6,8,7,5,9,3,2,4]
[4,2,3,9,6,7,5,8,1,10]=>[10,1,8,5,7,6,9,3,2,4]
[6,2,4,5,3,9,7,8,1,10]=>[10,1,8,7,9,3,5,4,2,6]
[6,3,4,2,5,9,7,8,1,10]=>[10,1,8,7,9,5,2,4,3,6]
[8,2,4,7,5,6,3,9,1,10]=>[10,1,9,3,6,5,7,4,2,8]
[8,2,6,4,5,7,3,9,1,10]=>[10,1,9,3,7,5,4,6,2,8]
[8,3,4,2,6,7,5,9,1,10]=>[10,1,9,5,7,6,2,4,3,8]
[8,3,6,4,5,2,7,9,1,10]=>[10,1,9,7,2,5,4,6,3,8]
[8,5,3,4,6,2,7,9,1,10]=>[10,1,9,7,2,6,4,3,5,8]
[5,4,2,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,2,4,5]
[7,5,2,1,3,6,4,8,9,10]=>[10,9,8,4,6,3,1,2,5,7]
[6,3,5,2,1,4,7,8,9,10]=>[10,9,8,7,4,1,2,5,3,6]
[9,6,2,1,3,4,7,8,5,10]=>[10,5,8,7,4,3,1,2,6,9]
[8,1,7,3,4,6,2,5,9,10]=>[10,9,5,2,6,4,3,7,1,8]
[8,3,6,2,1,4,7,5,9,10]=>[10,9,5,7,4,1,2,6,3,8]
[5,7,2,6,4,1,3,8,9,10]=>[10,9,8,3,1,4,6,2,7,5]
[7,3,4,6,2,1,5,8,9,10]=>[10,9,8,5,1,2,6,4,3,7]
[10,1,8,3,4,2,7,5,9,6]=>[6,9,5,7,2,4,3,8,1,10]
[10,3,7,2,1,4,5,8,9,6]=>[6,9,8,5,4,1,2,7,3,10]
[9,8,2,7,4,1,5,3,6,10]=>[10,6,3,5,1,4,7,2,8,9]
[9,3,4,7,2,1,5,8,6,10]=>[10,6,8,5,1,2,7,4,3,9]
[6,8,5,3,7,2,1,4,9,10]=>[10,9,4,1,2,7,3,5,8,6]
[8,3,4,5,7,2,1,6,9,10]=>[10,9,6,1,2,7,5,4,3,8]
[7,10,2,1,8,5,3,6,9,4]=>[4,9,6,3,5,8,1,2,10,7]
[10,1,6,3,9,5,4,8,2,7]=>[7,2,8,4,5,9,3,6,1,10]
[10,9,5,3,8,2,1,6,4,7]=>[7,4,6,1,2,8,3,5,9,10]
[10,3,4,5,8,2,1,6,9,7]=>[7,9,6,1,2,8,5,4,3,10]
[5,7,2,9,4,8,6,1,3,10]=>[10,3,1,6,8,4,9,2,7,5]
[7,9,4,6,3,8,2,1,5,10]=>[10,5,1,2,8,3,6,4,9,7]
[9,3,4,5,6,8,2,1,7,10]=>[10,7,1,2,8,6,5,4,3,9]
[6,8,10,3,7,5,9,2,1,4]=>[4,1,2,9,5,7,3,10,8,6]
[8,10,4,5,7,3,9,2,1,6]=>[6,1,2,9,3,7,5,4,10,8]
[10,3,4,5,6,7,9,2,1,8]=>[8,1,2,9,7,6,5,4,3,10]
[3,2,5,4,7,6,1,10,9,8]=>[8,9,10,1,6,7,4,5,2,3]
[3,2,5,4,9,8,7,6,1,10]=>[10,1,6,7,8,9,4,5,2,3]
[3,2,5,4,1,8,7,10,9,6]=>[6,9,10,7,8,1,4,5,2,3]
[3,2,5,4,1,10,9,8,7,6]=>[6,7,8,9,10,1,4,5,2,3]
[3,2,7,6,5,4,9,8,1,10]=>[10,1,8,9,4,5,6,7,2,3]
[3,2,7,6,5,4,1,10,9,8]=>[8,9,10,1,4,5,6,7,2,3]
[3,2,9,6,5,8,7,4,1,10]=>[10,1,4,7,8,5,6,9,2,3]
[3,2,1,6,5,8,7,10,9,4]=>[4,9,10,7,8,5,6,1,2,3]
[3,2,1,6,5,10,9,8,7,4]=>[4,7,8,9,10,5,6,1,2,3]
[3,2,1,8,7,6,5,10,9,4]=>[4,9,10,5,6,7,8,1,2,3]
[3,2,1,10,7,6,9,8,5,4]=>[4,5,8,9,6,7,10,1,2,3]
[5,4,3,2,7,6,9,8,1,10]=>[10,1,8,9,6,7,2,3,4,5]
[5,4,3,2,7,6,1,10,9,8]=>[8,9,10,1,6,7,2,3,4,5]
[5,4,3,2,9,8,7,6,1,10]=>[10,1,6,7,8,9,2,3,4,5]
[5,4,3,2,1,8,7,10,9,6]=>[6,9,10,7,8,1,2,3,4,5]
[7,4,3,6,5,2,9,8,1,10]=>[10,1,8,9,2,5,6,3,4,7]
[7,4,3,6,5,2,1,10,9,8]=>[8,9,10,1,2,5,6,3,4,7]
[9,4,3,6,5,8,7,2,1,10]=>[10,1,2,7,8,5,6,3,4,9]
[1,4,3,6,5,8,7,10,9,2]=>[2,9,10,7,8,5,6,3,4,1]
[1,4,3,6,5,10,9,8,7,2]=>[2,7,8,9,10,5,6,3,4,1]
[9,4,3,8,7,6,5,2,1,10]=>[10,1,2,5,6,7,8,3,4,9]
[1,4,3,8,7,6,5,10,9,2]=>[2,9,10,5,6,7,8,3,4,1]
[1,4,3,10,7,6,9,8,5,2]=>[2,5,8,9,6,7,10,3,4,1]
[1,4,3,10,9,8,7,6,5,2]=>[2,5,6,7,8,9,10,3,4,1]
[7,6,5,4,3,2,9,8,1,10]=>[10,1,8,9,2,3,4,5,6,7]
[9,6,5,4,3,8,7,2,1,10]=>[10,1,2,7,8,3,4,5,6,9]
[1,6,5,4,3,8,7,10,9,2]=>[2,9,10,7,8,3,4,5,6,1]
[1,6,5,4,3,10,9,8,7,2]=>[2,7,8,9,10,3,4,5,6,1]
[9,8,5,4,7,6,3,2,1,10]=>[10,1,2,3,6,7,4,5,8,9]
[1,8,5,4,7,6,3,10,9,2]=>[2,9,10,3,6,7,4,5,8,1]
[1,10,5,4,7,6,9,8,3,2]=>[2,3,8,9,6,7,4,5,10,1]
[1,10,5,4,9,8,7,6,3,2]=>[2,3,6,7,8,9,4,5,10,1]
[1,10,7,6,5,4,9,8,3,2]=>[2,3,8,9,4,5,6,7,10,1]
[1,10,9,6,5,8,7,4,3,2]=>[2,3,4,7,8,5,6,9,10,1]
[6,5,7,4,8,3,9,2,10,1]=>[1,10,2,9,3,8,4,7,5,6]
[6,5,7,4,8,3,10,2,9,1]=>[1,9,2,10,3,8,4,7,5,6]
[6,5,7,4,10,3,8,2,9,1]=>[1,9,2,8,3,10,4,7,5,6]
[6,5,10,4,7,3,8,2,9,1]=>[1,9,2,8,3,7,4,10,5,6]
[10,5,6,4,7,3,8,2,9,1]=>[1,9,2,8,3,7,4,6,5,10]
[5,10,6,4,7,3,8,2,9,1]=>[1,9,2,8,3,7,4,6,10,5]
[5,6,4,10,7,3,8,2,9,1]=>[1,9,2,8,3,7,10,4,6,5]
[5,6,4,7,3,10,8,2,9,1]=>[1,9,2,8,10,3,7,4,6,5]
[5,6,4,7,3,8,2,10,9,1]=>[1,9,10,2,8,3,7,4,6,5]
[5,6,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,6,5]
[8,7,6,5,4,3,1,10,2,9]=>[9,2,10,1,3,4,5,6,7,8]
[9,8,7,6,5,4,1,2,10,3]=>[3,10,2,1,4,5,6,7,8,9]
[8,7,6,5,4,2,1,10,3,9]=>[9,3,10,1,2,4,5,6,7,8]
[7,6,5,4,3,1,10,8,2,9]=>[9,2,8,10,1,3,4,5,6,7]
[9,8,7,6,5,3,1,2,10,4]=>[4,10,2,1,3,5,6,7,8,9]
[8,7,6,5,4,1,2,10,9,3]=>[3,9,10,2,1,4,5,6,7,8]
[9,8,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,8,9]
[7,8,9,1,2,3,4,5,6,10]=>[10,6,5,4,3,2,1,9,8,7]
[9,7,8,1,2,3,4,5,6,10]=>[10,6,5,4,3,2,1,8,7,9]
[9,8,7,1,2,3,4,5,6,10]=>[10,6,5,4,3,2,1,7,8,9]
[9,6,7,8,1,2,3,4,5,10]=>[10,5,4,3,2,1,8,7,6,9]
[8,9,6,7,1,2,3,4,5,10]=>[10,5,4,3,2,1,7,6,9,8]
[9,8,6,7,1,2,3,4,5,10]=>[10,5,4,3,2,1,7,6,8,9]
[9,8,7,6,1,2,3,4,5,10]=>[10,5,4,3,2,1,6,7,8,9]
[9,5,6,7,8,1,2,3,4,10]=>[10,4,3,2,1,8,7,6,5,9]
[8,9,5,6,7,1,2,3,4,10]=>[10,4,3,2,1,7,6,5,9,8]
[9,8,5,6,7,1,2,3,4,10]=>[10,4,3,2,1,7,6,5,8,9]
[9,7,8,5,6,1,2,3,4,10]=>[10,4,3,2,1,6,5,8,7,9]
[9,8,7,5,6,1,2,3,4,10]=>[10,4,3,2,1,6,5,7,8,9]
[9,8,7,6,5,1,2,3,4,10]=>[10,4,3,2,1,5,6,7,8,9]
[8,9,4,5,6,10,1,2,3,7]=>[7,3,2,1,10,6,5,4,9,8]
[9,8,4,5,6,10,1,2,3,7]=>[7,3,2,1,10,6,5,4,8,9]
[9,7,8,4,5,6,1,2,3,10]=>[10,3,2,1,6,5,4,8,7,9]
[9,8,7,4,5,6,1,2,3,10]=>[10,3,2,1,6,5,4,7,8,9]
[8,9,6,7,4,5,1,2,3,10]=>[10,3,2,1,5,4,7,6,9,8]
[9,8,6,7,4,5,1,2,3,10]=>[10,3,2,1,5,4,7,6,8,9]
[9,8,7,6,4,5,1,2,3,10]=>[10,3,2,1,5,4,6,7,8,9]
[9,8,7,6,5,4,1,2,3,10]=>[10,3,2,1,4,5,6,7,8,9]
[9,6,7,10,3,4,8,1,2,5]=>[5,2,1,8,4,3,10,7,6,9]
[8,9,6,7,3,4,10,1,2,5]=>[5,2,1,10,4,3,7,6,9,8]
[9,8,6,7,3,4,10,1,2,5]=>[5,2,1,10,4,3,7,6,8,9]
[9,8,7,6,3,4,10,1,2,5]=>[5,2,1,10,4,3,6,7,8,9]
[9,7,8,5,6,3,4,1,2,10]=>[10,2,1,4,3,6,5,8,7,9]
[9,8,7,5,6,3,4,1,2,10]=>[10,2,1,4,3,6,5,7,8,9]
[9,8,7,6,5,3,4,1,2,10]=>[10,2,1,4,3,5,6,7,8,9]
[9,8,6,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,6,8,9]
[9,8,7,6,4,10,2,5,1,3]=>[3,1,5,2,10,4,6,7,8,9]
[9,8,7,6,5,4,2,10,1,3]=>[3,1,10,2,4,5,6,7,8,9]
[8,10,1,2,3,4,5,9,6,7]=>[7,6,9,5,4,3,2,1,10,8]
[9,10,1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1,10,9]
[9,8,1,2,10,3,4,5,6,7]=>[7,6,5,4,3,10,2,1,8,9]
[10,8,1,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,1,8,10]
[8,7,1,2,3,4,5,9,10,6]=>[6,10,9,5,4,3,2,1,7,8]
[10,6,1,2,3,4,8,9,5,7]=>[7,5,9,8,4,3,2,1,6,10]
[5,10,1,2,3,9,8,4,6,7]=>[7,6,4,8,9,3,2,1,10,5]
[9,4,1,2,10,8,3,5,6,7]=>[7,6,5,3,8,10,2,1,4,9]
[8,3,1,9,10,2,4,5,6,7]=>[7,6,5,4,2,10,9,1,3,8]
[2,10,8,9,1,3,4,5,6,7]=>[7,6,5,4,3,1,9,8,10,2]
[2,10,1,5,6,7,8,9,3,4]=>[4,3,9,8,7,6,5,1,10,2]
[2,4,1,10,6,7,8,9,3,5]=>[5,3,9,8,7,6,10,1,4,2]
[2,9,1,5,6,7,8,3,10,4]=>[4,10,3,8,7,6,5,1,9,2]
[2,4,6,9,1,10,3,5,7,8]=>[8,7,5,3,10,1,9,6,4,2]
[2,4,7,1,8,10,3,5,6,9]=>[9,6,5,3,10,8,1,7,4,2]
[2,4,7,9,1,3,10,5,6,8]=>[8,6,5,10,3,1,9,7,4,2]
[2,4,8,1,9,3,10,5,6,7]=>[7,6,5,10,3,9,1,8,4,2]
[2,5,1,6,8,10,3,4,7,9]=>[9,7,4,3,10,8,6,1,5,2]
[2,5,1,6,9,3,10,4,7,8]=>[8,7,4,10,3,9,6,1,5,2]
[2,5,7,1,3,8,10,4,6,9]=>[9,6,4,10,8,3,1,7,5,2]
[2,6,1,7,3,8,10,4,5,9]=>[9,5,4,10,8,3,7,1,6,2]
[2,5,7,9,1,3,4,10,6,8]=>[8,6,10,4,3,1,9,7,5,2]
[2,5,8,1,9,3,4,10,6,7]=>[7,6,10,4,3,9,1,8,5,2]
[2,6,1,7,9,3,4,10,5,8]=>[8,5,10,4,3,9,7,1,6,2]
[2,6,8,1,3,9,4,10,5,7]=>[7,5,10,4,9,3,1,8,6,2]
[2,7,1,8,3,9,4,10,5,6]=>[6,5,10,4,9,3,8,1,7,2]
[3,1,4,6,8,10,2,5,7,9]=>[9,7,5,2,10,8,6,4,1,3]
[3,1,4,6,9,2,10,5,7,8]=>[8,7,5,10,2,9,6,4,1,3]
[3,1,4,7,2,8,10,5,6,9]=>[9,6,5,10,8,2,7,4,1,3]
[3,1,4,7,9,2,5,10,6,8]=>[8,6,10,5,2,9,7,4,1,3]
[3,1,4,8,2,9,5,10,6,7]=>[7,6,10,5,9,2,8,4,1,3]
[3,5,1,2,6,8,10,4,7,9]=>[9,7,4,10,8,6,2,1,5,3]
[3,5,1,2,6,9,4,10,7,8]=>[8,7,10,4,9,6,2,1,5,3]
[4,1,5,2,6,8,10,3,7,9]=>[9,7,3,10,8,6,2,5,1,4]
[4,1,5,2,6,9,3,10,7,8]=>[8,7,10,3,9,6,2,5,1,4]
[3,5,7,1,2,4,8,10,6,9]=>[9,6,10,8,4,2,1,7,5,3]
[3,6,1,7,2,4,8,10,5,9]=>[9,5,10,8,4,2,7,1,6,3]
[4,1,5,7,2,3,8,10,6,9]=>[9,6,10,8,3,2,7,5,1,4]
[4,6,1,2,7,3,8,10,5,9]=>[9,5,10,8,3,7,2,1,6,4]
[5,1,6,2,7,3,8,10,4,9]=>[9,4,10,8,3,7,2,6,1,5]
[3,5,7,9,1,2,4,6,10,8]=>[8,10,6,4,2,1,9,7,5,3]
[3,5,8,1,9,2,4,6,10,7]=>[7,10,6,4,2,9,1,8,5,3]
[3,6,1,7,9,2,4,5,10,8]=>[8,10,5,4,2,9,7,1,6,3]
[3,6,8,1,2,9,4,5,10,7]=>[7,10,5,4,9,2,1,8,6,3]
[3,7,1,8,2,9,4,5,10,6]=>[6,10,5,4,9,2,8,1,7,3]
[4,1,5,7,9,2,3,6,10,8]=>[8,10,6,3,2,9,7,5,1,4]
[4,1,5,8,2,9,3,6,10,7]=>[7,10,6,3,9,2,8,5,1,4]
[4,6,1,2,7,9,3,5,10,8]=>[8,10,5,3,9,7,2,1,6,4]
[5,1,6,2,7,9,3,4,10,8]=>[8,10,4,3,9,7,2,6,1,5]
[4,6,8,1,2,3,9,5,10,7]=>[7,10,5,9,3,2,1,8,6,4]
[4,7,1,8,2,3,9,5,10,6]=>[6,10,5,9,3,2,8,1,7,4]
[5,1,6,8,2,3,9,4,10,7]=>[7,10,4,9,3,2,8,6,1,5]
[5,7,1,2,8,3,9,4,10,6]=>[6,10,4,9,3,8,2,1,7,5]
[10,9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9,10]
[9,10,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,10,9]
[10,9,8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8,9,10]
[8,10,9,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,9,10,8]
[8,9,10,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,10,9,8]
[10,9,8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8,9,10]
[7,10,9,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,9,10,7]
[8,7,10,9,4,5,6,3,2,1]=>[1,2,3,6,5,4,9,10,7,8]
[7,8,10,9,4,5,6,3,2,1]=>[1,2,3,6,5,4,9,10,8,7]
[7,6,10,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,10,6,7]
[6,7,10,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,10,7,6]
[6,8,7,10,9,5,4,3,2,1]=>[1,2,3,4,5,9,10,7,8,6]
[6,7,8,10,9,5,4,3,2,1]=>[1,2,3,4,5,9,10,8,7,6]
[6,5,10,9,7,8,4,3,2,1]=>[1,2,3,4,8,7,9,10,5,6]
[5,6,10,9,7,8,4,3,2,1]=>[1,2,3,4,8,7,9,10,6,5]
[7,6,5,10,8,9,4,3,2,1]=>[1,2,3,4,9,8,10,5,6,7]
[5,6,7,10,8,9,4,3,2,1]=>[1,2,3,4,9,8,10,7,6,5]
[6,5,8,7,9,10,4,3,2,1]=>[1,2,3,4,10,9,7,8,5,6]
[5,6,8,7,9,10,4,3,2,1]=>[1,2,3,4,10,9,7,8,6,5]
[7,10,9,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,9,10,7]
[8,7,10,9,1,2,3,6,5,4]=>[4,5,6,3,2,1,9,10,7,8]
[7,8,9,10,1,2,3,6,5,4]=>[4,5,6,3,2,1,10,9,8,7]
[6,8,7,10,9,2,1,5,4,3]=>[3,4,5,1,2,9,10,7,8,6]
[6,7,8,10,9,2,1,5,4,3]=>[3,4,5,1,2,9,10,8,7,6]
[6,5,8,7,9,10,2,1,4,3]=>[3,4,1,2,10,9,7,8,5,6]
[5,6,8,7,9,10,2,1,4,3]=>[3,4,1,2,10,9,7,8,6,5]
[5,6,7,8,9,10,2,1,4,3]=>[3,4,1,2,10,9,8,7,6,5]
[2,4,3,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,3,4,2]
[2,4,3,6,5,1,8,7,10,9]=>[9,10,7,8,1,5,6,3,4,2]
[2,4,3,6,5,8,7,1,10,9]=>[9,10,1,7,8,5,6,3,4,2]
[2,4,3,6,5,8,7,9,1,10]=>[10,1,9,7,8,5,6,3,4,2]
[2,4,3,6,5,7,1,9,8,10]=>[10,8,9,1,7,5,6,3,4,2]
[2,4,3,5,1,7,6,9,8,10]=>[10,8,9,6,7,1,5,3,4,2]
[1,9,2,10,3,8,4,7,5,6]=>[6,5,7,4,8,3,10,2,9,1]
[1,9,2,8,3,10,4,7,5,6]=>[6,5,7,4,10,3,8,2,9,1]
[1,9,2,8,3,7,4,10,5,6]=>[6,5,10,4,7,3,8,2,9,1]
[1,9,2,8,3,7,4,6,10,5]=>[5,10,6,4,7,3,8,2,9,1]
[1,9,2,8,3,7,10,4,6,5]=>[5,6,4,10,7,3,8,2,9,1]
[1,9,2,8,10,3,7,4,6,5]=>[5,6,4,7,3,10,8,2,9,1]
[1,9,10,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,10,9,1]
[7,8,4,9,5,2,10,6,3,1]=>[1,3,6,10,2,5,9,4,8,7]
[7,4,8,5,9,6,2,10,3,1]=>[1,3,10,2,6,9,5,8,4,7]
[7,8,4,2,9,5,3,10,6,1]=>[1,6,10,3,5,9,2,4,8,7]
[7,4,8,5,2,9,3,10,6,1]=>[1,6,10,3,9,2,5,8,4,7]
[7,4,2,8,5,3,9,6,10,1]=>[1,10,6,9,3,5,8,2,4,7]
[4,7,5,8,2,9,3,10,6,1]=>[1,6,10,3,9,2,8,5,7,4]
[4,7,5,2,8,3,9,6,10,1]=>[1,10,6,9,3,8,2,5,7,4]
[7,8,4,9,5,2,1,10,6,3]=>[3,6,10,1,2,5,9,4,8,7]
[7,4,8,5,9,6,2,1,10,3]=>[3,10,1,2,6,9,5,8,4,7]
[7,8,4,2,9,5,1,10,6,3]=>[3,6,10,1,5,9,2,4,8,7]
[7,4,8,5,2,9,1,10,6,3]=>[3,6,10,1,9,2,5,8,4,7]
[7,4,2,8,5,9,6,1,10,3]=>[3,10,1,6,9,5,8,2,4,7]
[4,7,5,8,2,9,1,10,6,3]=>[3,6,10,1,9,2,8,5,7,4]
[4,7,5,2,8,9,6,1,10,3]=>[3,10,1,6,9,8,2,5,7,4]
[7,8,4,2,1,9,5,3,10,6]=>[6,10,3,5,9,1,2,4,8,7]
[7,4,8,5,2,1,9,3,10,6]=>[6,10,3,9,1,2,5,8,4,7]
[7,4,2,8,5,1,9,3,10,6]=>[6,10,3,9,1,5,8,2,4,7]
[4,7,5,8,2,1,9,3,10,6]=>[6,10,3,9,1,2,8,5,7,4]
[4,7,5,2,8,1,9,3,10,6]=>[6,10,3,9,1,8,2,5,7,4]
[4,7,5,2,1,8,3,9,6,10]=>[10,6,9,3,8,1,2,5,7,4]
[7,2,8,4,9,5,1,10,6,3]=>[3,6,10,1,5,9,4,8,2,7]
[7,4,2,8,9,5,1,10,6,3]=>[3,6,10,1,5,9,8,2,4,7]
[2,7,4,8,5,9,6,1,10,3]=>[3,10,1,6,9,5,8,4,7,2]
[4,7,2,8,9,5,1,10,6,3]=>[3,6,10,1,5,9,8,2,7,4]
[4,2,7,8,5,9,6,1,10,3]=>[3,10,1,6,9,5,8,7,2,4]
[7,2,8,4,1,9,5,3,10,6]=>[6,10,3,5,9,1,4,8,2,7]
[7,4,2,8,1,9,5,3,10,6]=>[6,10,3,5,9,1,8,2,4,7]
[2,7,4,8,5,1,9,3,10,6]=>[6,10,3,9,1,5,8,4,7,2]
[2,7,4,1,8,5,3,9,6,10]=>[10,6,9,3,5,8,1,4,7,2]
[4,7,2,8,1,9,5,3,10,6]=>[6,10,3,5,9,1,8,2,7,4]
[4,2,7,8,5,1,9,3,10,6]=>[6,10,3,9,1,5,8,7,2,4]
[4,2,7,1,8,5,3,9,6,10]=>[10,6,9,3,5,8,1,7,2,4]
[2,4,7,5,8,1,9,3,10,6]=>[6,10,3,9,1,8,5,7,4,2]
[2,4,7,5,1,8,3,9,6,10]=>[10,6,9,3,8,1,5,7,4,2]
[7,8,2,9,4,5,1,10,6,3]=>[3,6,10,1,5,4,9,2,8,7]
[7,2,8,4,5,9,6,1,10,3]=>[3,10,1,6,9,5,4,8,2,7]
[7,8,2,9,4,1,5,3,10,6]=>[6,10,3,5,1,4,9,2,8,7]
[7,2,8,4,5,1,9,3,10,6]=>[6,10,3,9,1,5,4,8,2,7]
[7,2,8,4,1,5,3,9,6,10]=>[10,6,9,3,5,1,4,8,2,7]
[2,7,4,5,8,1,9,3,10,6]=>[6,10,3,9,1,8,5,4,7,2]
[2,7,4,5,1,8,3,9,6,10]=>[10,6,9,3,8,1,5,4,7,2]
[1,10,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,10,1]
[1,2,10,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,10,2,1]
[1,8,10,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,10,8,1]
[1,3,10,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,10,3,1]
[1,9,10,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,10,9,1]
[2,1,4,3,6,5,8,10,9,7]=>[7,9,10,8,5,6,3,4,1,2]
[2,1,4,3,6,8,7,5,10,9]=>[9,10,5,7,8,6,3,4,1,2]
[2,1,4,3,8,10,7,9,5,6]=>[6,5,9,7,10,8,3,4,1,2]
[2,1,4,3,6,7,10,8,9,5]=>[5,9,8,10,7,6,3,4,1,2]
[2,1,4,6,5,3,8,7,10,9]=>[9,10,7,8,3,5,6,4,1,2]
[2,1,4,6,5,3,8,10,9,7]=>[7,9,10,8,3,5,6,4,1,2]
[2,1,6,8,5,7,3,4,10,9]=>[9,10,4,3,7,5,8,6,1,2]
[2,1,8,7,5,10,4,9,3,6]=>[6,3,9,4,10,5,7,8,1,2]
[2,1,6,7,5,10,8,4,9,3]=>[3,9,4,8,10,5,7,6,1,2]
[2,1,4,5,8,6,7,3,10,9]=>[9,10,3,7,6,8,5,4,1,2]
[2,1,8,5,10,6,7,9,3,4]=>[4,3,9,7,6,10,5,8,1,2]
[2,1,4,7,10,6,9,8,3,5]=>[5,3,8,9,6,10,7,4,1,2]
[2,1,4,5,6,10,7,8,9,3]=>[3,9,8,7,10,6,5,4,1,2]
[2,4,3,1,6,5,8,10,9,7]=>[7,9,10,8,5,6,1,3,4,2]
[2,4,3,1,6,8,7,5,10,9]=>[9,10,5,7,8,6,1,3,4,2]
[2,4,3,1,8,10,7,9,5,6]=>[6,5,9,7,10,8,1,3,4,2]
[2,4,3,1,6,7,10,8,9,5]=>[5,9,8,10,7,6,1,3,4,2]
[4,6,3,5,1,2,8,7,10,9]=>[9,10,7,8,2,1,5,3,6,4]
[4,6,3,5,1,2,8,10,9,7]=>[7,9,10,8,2,1,5,3,6,4]
[6,5,3,8,2,7,1,4,10,9]=>[9,10,4,1,7,2,8,3,5,6]
[8,5,3,7,2,10,4,9,1,6]=>[6,1,9,4,10,2,7,3,5,8]
[6,5,3,7,2,10,8,4,9,1]=>[1,9,4,8,10,2,7,3,5,6]
[4,5,3,8,6,2,7,1,10,9]=>[9,10,1,7,2,6,8,3,5,4]
[8,6,3,5,10,2,7,9,1,4]=>[4,1,9,7,2,10,5,3,6,8]
[4,7,3,6,10,1,9,8,2,5]=>[5,2,8,9,1,10,6,3,7,4]
[4,5,3,6,10,7,1,8,9,2]=>[2,9,8,1,7,10,6,3,5,4]
[2,3,6,4,5,1,8,7,10,9]=>[9,10,7,8,1,5,4,6,3,2]
[2,3,6,4,5,1,8,10,9,7]=>[7,9,10,8,1,5,4,6,3,2]
[6,3,8,4,5,7,1,2,10,9]=>[9,10,2,1,7,5,4,8,3,6]
[8,3,7,4,5,10,2,9,1,6]=>[6,1,9,2,10,5,4,7,3,8]
[6,3,7,4,5,10,8,2,9,1]=>[1,9,2,8,10,5,4,7,3,6]
[2,5,8,4,7,6,1,3,10,9]=>[9,10,3,1,6,7,4,8,5,2]
[8,5,10,4,7,6,2,9,1,3]=>[3,1,9,2,6,7,4,10,5,8]
[2,7,10,4,8,6,9,5,1,3]=>[3,1,5,9,6,8,4,10,7,2]
[2,5,6,4,10,8,7,3,9,1]=>[1,9,3,7,8,10,4,6,5,2]
[2,3,4,8,5,6,7,1,10,9]=>[9,10,1,7,6,5,8,4,3,2]
[8,3,4,10,5,6,7,9,1,2]=>[2,1,9,7,6,5,10,4,3,8]
[2,7,4,10,5,6,9,8,1,3]=>[3,1,8,9,6,5,10,4,7,2]
[2,3,6,10,5,9,7,8,1,4]=>[4,1,8,7,9,5,10,6,3,2]
[2,3,4,5,10,6,7,8,9,1]=>[1,9,8,7,6,10,5,4,3,2]
[2,3,4,5,6,1,8,9,10,7]=>[7,10,9,8,1,6,5,4,3,2]
[2,3,4,5,6,8,9,1,10,7]=>[7,10,1,9,8,6,5,4,3,2]
[4,5,6,1,7,8,9,10,2,3]=>[3,2,10,9,8,7,1,6,5,4]
[3,5,6,1,7,8,9,10,2,4]=>[4,2,10,9,8,7,1,6,5,3]
[3,4,6,1,7,8,9,10,2,5]=>[5,2,10,9,8,7,1,6,4,3]
[3,4,5,1,7,8,9,10,2,6]=>[6,2,10,9,8,7,1,5,4,3]
[2,1,4,3,6,5,8,9,10,7]=>[7,10,9,8,5,6,3,4,1,2]
[2,1,4,3,6,7,8,5,10,9]=>[9,10,5,8,7,6,3,4,1,2]
[2,1,4,3,8,7,9,10,5,6]=>[6,5,10,9,7,8,3,4,1,2]
[2,1,4,3,6,7,8,9,10,5]=>[5,10,9,8,7,6,3,4,1,2]
[2,1,4,5,6,3,8,7,10,9]=>[9,10,7,8,3,6,5,4,1,2]
[2,1,4,5,6,3,8,9,10,7]=>[7,10,9,8,3,6,5,4,1,2]
[2,1,6,5,7,8,3,4,10,9]=>[9,10,4,3,8,7,5,6,1,2]
[2,1,8,5,9,7,3,10,6,4]=>[4,6,10,3,7,9,5,8,1,2]
[2,1,6,5,7,8,9,10,3,4]=>[4,3,10,9,8,7,5,6,1,2]
[2,1,4,5,6,7,8,3,10,9]=>[9,10,3,8,7,6,5,4,1,2]
[2,1,8,5,6,7,9,10,3,4]=>[4,3,10,9,7,6,5,8,1,2]
[2,1,4,7,6,8,9,3,10,5]=>[5,10,3,9,8,6,7,4,1,2]
[2,1,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,1,2]
[2,3,4,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,4,3,2]
[2,3,4,1,6,5,8,9,10,7]=>[7,10,9,8,5,6,1,4,3,2]
[2,3,4,1,6,7,8,5,10,9]=>[9,10,5,8,7,6,1,4,3,2]
[2,3,4,1,8,7,9,10,5,6]=>[6,5,10,9,7,8,1,4,3,2]
[2,3,4,1,6,7,8,9,10,5]=>[5,10,9,8,7,6,1,4,3,2]
[4,3,5,6,1,2,8,7,10,9]=>[9,10,7,8,2,1,6,5,3,4]
[4,3,5,6,1,2,8,9,10,7]=>[7,10,9,8,2,1,6,5,3,4]
[6,3,7,5,1,8,4,2,10,9]=>[9,10,2,4,8,1,5,7,3,6]
[8,3,9,5,1,7,4,10,6,2]=>[2,6,10,4,7,1,5,9,3,8]
[6,3,7,5,1,8,9,10,4,2]=>[2,4,10,9,8,1,5,7,3,6]
[4,3,5,6,7,8,1,2,10,9]=>[9,10,2,1,8,7,6,5,3,4]
[8,3,9,5,6,7,1,10,4,2]=>[2,4,10,1,7,6,5,9,3,8]
[4,3,7,8,6,10,9,2,5,1]=>[1,5,2,9,10,6,8,7,3,4]
[4,3,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,3,4]
[2,3,4,5,6,1,8,7,10,9]=>[9,10,7,8,1,6,5,4,3,2]
[6,3,4,5,7,8,1,2,10,9]=>[9,10,2,1,8,7,5,4,3,6]
[8,3,4,5,9,7,1,10,6,2]=>[2,6,10,1,7,9,5,4,3,8]
[6,3,4,5,7,8,9,10,1,2]=>[2,1,10,9,8,7,5,4,3,6]
[2,5,4,6,7,1,8,3,10,9]=>[9,10,3,8,1,7,6,4,5,2]
[8,5,4,6,7,1,9,10,3,2]=>[2,3,10,9,1,7,6,4,5,8]
[2,7,4,8,6,1,9,5,10,3]=>[3,10,5,9,1,6,8,4,7,2]
[2,5,4,6,7,8,9,1,10,3]=>[3,10,1,9,8,7,6,4,5,2]
[2,3,4,5,6,7,8,1,10,9]=>[9,10,1,8,7,6,5,4,3,2]
[8,3,4,5,6,7,9,10,1,2]=>[2,1,10,9,7,6,5,4,3,8]
[2,7,4,5,6,8,9,1,10,3]=>[3,10,1,9,8,6,5,4,7,2]
[2,3,6,5,7,8,1,9,10,4]=>[4,10,9,1,8,7,5,6,3,2]
[1,8,2,3,4,5,6,7,10,9]=>[9,10,7,6,5,4,3,2,8,1]
[1,3,4,5,6,7,8,2,10,9]=>[9,10,2,8,7,6,5,4,3,1]
[4,5,2,3,6,7,8,9,10,1]=>[1,10,9,8,7,6,3,2,5,4]
[4,3,2,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,2,3,4]
[5,6,7,2,3,4,8,9,10,1]=>[1,10,9,8,4,3,2,7,6,5]
[5,3,6,2,4,7,8,9,10,1]=>[1,10,9,8,7,4,2,6,3,5]
[5,4,3,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,3,4,5]
[6,7,8,9,2,3,4,5,10,1]=>[1,10,5,4,3,2,9,8,7,6]
[6,3,7,8,2,4,5,9,10,1]=>[1,10,9,5,4,2,8,7,3,6]
[6,7,4,5,2,3,8,9,10,1]=>[1,10,9,8,3,2,5,4,7,6]
[6,4,3,7,2,5,8,9,10,1]=>[1,10,9,8,5,2,7,3,4,6]
[6,5,4,3,2,7,8,9,10,1]=>[1,10,9,8,7,2,3,4,5,6]
[7,8,9,10,1,3,4,5,6,2]=>[2,6,5,4,3,1,10,9,8,7]
[7,3,8,9,10,2,4,5,6,1]=>[1,6,5,4,2,10,9,8,3,7]
[7,4,3,8,9,2,5,6,10,1]=>[1,10,6,5,2,9,8,3,4,7]
[7,5,8,3,6,2,4,9,10,1]=>[1,10,9,4,2,6,3,8,5,7]
[7,5,4,3,8,2,6,9,10,1]=>[1,10,9,6,2,8,3,4,5,7]
[7,6,5,4,3,2,8,9,10,1]=>[1,10,9,8,2,3,4,5,6,7]
[8,9,4,5,10,1,3,6,7,2]=>[2,7,6,3,1,10,5,4,9,8]
[8,4,3,9,10,1,5,6,7,2]=>[2,7,6,5,1,10,9,3,4,8]
[8,5,9,3,6,10,2,4,7,1]=>[1,7,4,2,10,6,3,9,5,8]
[8,5,4,3,9,10,2,6,7,1]=>[1,7,6,2,10,9,3,4,5,8]
[8,9,6,7,4,5,2,3,10,1]=>[1,10,3,2,5,4,7,6,9,8]
[8,6,4,9,3,7,2,5,10,1]=>[1,10,5,2,7,3,9,4,6,8]
[8,6,5,4,3,9,2,7,10,1]=>[1,10,7,2,9,3,4,5,6,8]
[8,7,6,5,4,3,2,9,10,1]=>[1,10,9,2,3,4,5,6,7,8]
[9,6,10,1,4,8,2,5,7,3]=>[3,7,5,2,8,4,1,10,6,9]
[9,10,6,7,4,5,1,3,8,2]=>[2,8,3,1,5,4,7,6,10,9]
[9,6,4,10,3,7,1,5,8,2]=>[2,8,5,1,7,3,10,4,6,9]
[9,6,5,4,3,10,1,7,8,2]=>[2,8,7,1,10,3,4,5,6,9]
[9,7,5,4,10,3,8,2,6,1]=>[1,6,2,8,3,10,4,5,7,9]
[9,7,6,5,4,3,10,2,8,1]=>[1,8,2,10,3,4,5,6,7,9]
[10,1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1,10]
[10,8,6,1,5,2,7,3,9,4]=>[4,9,3,7,2,5,1,6,8,10]
[10,8,6,5,4,1,7,2,9,3]=>[3,9,2,7,1,4,5,6,8,10]
[10,8,7,6,5,4,3,1,9,2]=>[2,9,1,3,4,5,6,7,8,10]
[1,4,3,6,5,10,9,7,8,2]=>[2,8,7,9,10,5,6,3,4,1]
[1,4,3,8,7,5,6,10,9,2]=>[2,9,10,6,5,7,8,3,4,1]
[1,4,3,10,7,5,9,6,8,2]=>[2,8,6,9,5,7,10,3,4,1]
[1,4,3,10,9,8,5,6,7,2]=>[2,7,6,5,8,9,10,3,4,1]
[1,6,5,3,4,8,7,10,9,2]=>[2,9,10,7,8,4,3,5,6,1]
[1,6,5,3,4,10,9,7,8,2]=>[2,8,7,9,10,4,3,5,6,1]
[1,8,5,3,7,4,6,10,9,2]=>[2,9,10,6,4,7,3,5,8,1]
[1,10,5,3,7,4,9,6,8,2]=>[2,8,6,9,4,7,3,5,10,1]
[1,10,5,3,9,8,4,6,7,2]=>[2,7,6,4,8,9,3,5,10,1]
[1,8,7,6,3,4,5,10,9,2]=>[2,9,10,5,4,3,6,7,8,1]
[1,10,7,6,3,4,9,5,8,2]=>[2,8,5,9,4,3,6,7,10,1]
[1,10,9,6,3,8,4,5,7,2]=>[2,7,5,4,8,3,6,9,10,1]
[1,10,9,8,7,3,4,5,6,2]=>[2,6,5,4,3,7,8,9,10,1]
[3,1,2,6,5,8,7,10,9,4]=>[4,9,10,7,8,5,6,2,1,3]
[3,1,2,6,5,10,9,7,8,4]=>[4,8,7,9,10,5,6,2,1,3]
[3,1,2,8,7,5,6,10,9,4]=>[4,9,10,6,5,7,8,2,1,3]
[3,1,2,10,7,5,9,6,8,4]=>[4,8,6,9,5,7,10,2,1,3]
[3,1,2,10,9,8,5,6,7,4]=>[4,7,6,5,8,9,10,2,1,3]
[3,1,5,2,4,8,7,10,9,6]=>[6,9,10,7,8,4,2,5,1,3]
[3,1,5,2,4,10,9,7,8,6]=>[6,8,7,9,10,4,2,5,1,3]
[3,1,5,2,7,4,6,10,9,8]=>[8,9,10,6,4,7,2,5,1,3]
[3,1,5,2,9,8,4,6,7,10]=>[10,7,6,4,8,9,2,5,1,3]
[3,1,7,6,2,4,5,10,9,8]=>[8,9,10,5,4,2,6,7,1,3]
[3,1,7,6,2,4,9,5,8,10]=>[10,8,5,9,4,2,6,7,1,3]
[3,1,9,6,2,8,4,5,7,10]=>[10,7,5,4,8,2,6,9,1,3]
[3,1,9,8,7,2,4,5,6,10]=>[10,6,5,4,2,7,8,9,1,3]
[5,4,1,2,3,8,7,10,9,6]=>[6,9,10,7,8,3,2,1,4,5]
[5,4,1,2,3,10,9,7,8,6]=>[6,8,7,9,10,3,2,1,4,5]
[5,4,1,2,7,3,6,10,9,8]=>[8,9,10,6,3,7,2,1,4,5]
[5,4,1,2,7,3,9,6,8,10]=>[10,8,6,9,3,7,2,1,4,5]
[5,4,1,2,9,8,3,6,7,10]=>[10,7,6,3,8,9,2,1,4,5]
[7,4,1,6,2,3,5,10,9,8]=>[8,9,10,5,3,2,6,1,4,7]
[7,4,1,6,2,3,9,5,8,10]=>[10,8,5,9,3,2,6,1,4,7]
[9,4,1,6,2,8,3,5,7,10]=>[10,7,5,3,8,2,6,1,4,9]
[9,4,1,8,7,2,3,5,6,10]=>[10,6,5,3,2,7,8,1,4,9]
[7,6,5,1,2,3,4,10,9,8]=>[8,9,10,4,3,2,1,5,6,7]
[7,6,5,1,2,3,9,4,8,10]=>[10,8,4,9,3,2,1,5,6,7]
[9,6,5,1,2,8,3,4,7,10]=>[10,7,4,3,8,2,1,5,6,9]
[9,8,5,1,7,2,3,4,6,10]=>[10,6,4,3,2,7,1,5,8,9]
[9,1,2,3,4,5,6,10,8,7]=>[7,8,10,6,5,4,3,2,1,9]
[9,1,2,3,4,5,10,7,8,6]=>[6,8,7,10,5,4,3,2,1,9]
[10,1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1,10]
[9,1,2,3,10,5,6,7,8,4]=>[4,8,7,6,5,10,3,2,1,9]
[9,1,2,10,4,5,6,7,8,3]=>[3,8,7,6,5,4,10,2,1,9]
[10,1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1,10]
[10,1,2,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,2,1,10]
[9,1,2,3,4,5,7,10,8,6]=>[6,8,10,7,5,4,3,2,1,9]
[9,1,2,3,4,6,10,7,8,5]=>[5,8,7,10,6,4,3,2,1,9]
[10,1,2,3,5,9,6,7,8,4]=>[4,8,7,6,9,5,3,2,1,10]
[9,1,2,4,10,5,6,7,8,3]=>[3,8,7,6,5,10,4,2,1,9]
[9,1,3,10,4,5,6,7,8,2]=>[2,8,7,6,5,4,10,3,1,9]
[10,2,9,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,9,2,10]
[3,1,10,6,2,9,5,4,8,7]=>[7,8,4,5,9,2,6,10,1,3]
[1,9,2,10,3,4,5,6,7,8]=>[8,7,6,5,4,3,10,2,9,1]
[1,4,2,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,2,4,1]
[1,3,4,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,4,3,1]
[1,2,3,4,5,6,9,7,8,10]=>[10,8,7,9,6,5,4,3,2,1]
[2,1,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,1,2]
[5,7,6,4,8,3,9,2,10,1]=>[1,10,2,9,3,8,4,6,7,5]
[4,6,5,8,7,3,9,2,10,1]=>[1,10,2,9,3,7,8,5,6,4]
[3,5,4,7,9,8,6,2,10,1]=>[1,10,2,6,8,9,7,4,5,3]
[4,6,5,3,7,9,8,2,10,1]=>[1,10,2,8,9,7,3,5,6,4]
[3,5,4,7,6,9,8,2,10,1]=>[1,10,2,8,9,6,7,4,5,3]
[2,4,3,7,9,8,6,10,5,1]=>[1,5,10,6,8,9,7,3,4,2]
[2,4,3,6,8,7,10,9,5,1]=>[1,5,9,10,7,8,6,3,4,2]
[3,5,4,2,6,8,10,9,7,1]=>[1,7,9,10,8,6,2,4,5,3]
[2,4,3,6,5,8,10,9,7,1]=>[1,7,9,10,8,5,6,3,4,2]
[4,6,5,3,7,2,8,10,9,1]=>[1,9,10,8,2,7,3,5,6,4]
[3,5,4,7,6,2,8,10,9,1]=>[1,9,10,8,2,6,7,4,5,3]
[2,4,3,6,8,7,5,10,9,1]=>[1,9,10,5,7,8,6,3,4,2]
[3,5,4,2,6,8,7,10,9,1]=>[1,9,10,7,8,6,2,4,5,3]
[2,1,6,8,7,5,9,4,10,3]=>[3,10,4,9,5,7,8,6,1,2]
[2,1,5,7,6,9,8,4,10,3]=>[3,10,4,8,9,6,7,5,1,2]
[2,1,4,6,5,8,10,9,7,3]=>[3,7,9,10,8,5,6,4,1,2]
[2,1,5,7,6,4,8,10,9,3]=>[3,9,10,8,4,6,7,5,1,2]
[2,1,4,6,5,8,7,10,9,3]=>[3,9,10,7,8,5,6,4,1,2]
[3,2,6,8,7,5,9,4,1,10]=>[10,1,4,9,5,7,8,6,2,3]
[3,2,5,7,6,9,8,4,1,10]=>[10,1,4,8,9,6,7,5,2,3]
[2,1,5,7,6,4,8,3,10,9]=>[9,10,3,8,4,6,7,5,1,2]
[2,1,4,6,5,8,7,3,10,9]=>[9,10,3,7,8,5,6,4,1,2]
[4,3,6,8,7,5,2,9,1,10]=>[10,1,9,2,5,7,8,6,3,4]
[3,2,5,7,6,4,9,8,1,10]=>[10,1,8,9,4,6,7,5,2,3]
[3,2,5,7,6,4,1,8,10,9]=>[9,10,8,1,4,6,7,5,2,3]
[5,4,7,6,3,8,2,9,1,10]=>[10,1,9,2,8,3,6,7,4,5]
[4,3,6,5,8,7,2,9,1,10]=>[10,1,9,2,7,8,5,6,3,4]
[2,4,3,7,9,8,6,5,1,10]=>[10,1,5,6,8,9,7,3,4,2]
[4,3,6,5,2,7,9,8,1,10]=>[10,1,8,9,7,2,5,6,3,4]
[1,3,2,7,9,8,6,10,5,4]=>[4,5,10,6,8,9,7,2,3,1]
[1,3,2,6,8,7,10,9,5,4]=>[4,5,9,10,7,8,6,2,3,1]
[2,4,3,1,5,8,10,9,7,6]=>[6,7,9,10,8,5,1,3,4,2]
[1,3,2,5,4,8,10,9,7,6]=>[6,7,9,10,8,4,5,2,3,1]
[4,3,6,5,2,7,1,8,10,9]=>[9,10,8,1,7,2,5,6,3,4]
[3,2,5,4,7,6,1,8,10,9]=>[9,10,8,1,6,7,4,5,2,3]
[1,3,2,6,8,7,5,4,10,9]=>[9,10,4,5,7,8,6,2,3,1]
[3,2,5,4,1,6,8,7,10,9]=>[9,10,7,8,6,1,4,5,2,3]
[10,2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2,10]
[3,10,1,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,1,10,3]
[8,1,10,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,10,1,8]
[10,9,2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2,9,10]
[8,2,1,10,4,5,6,7,3,9]=>[9,3,7,6,5,4,10,1,2,8]
[7,10,8,3,4,5,6,1,2,9]=>[9,2,1,6,5,4,3,8,10,7]
[3,9,1,2,10,5,6,7,8,4]=>[4,8,7,6,5,10,2,1,9,3]
[9,8,10,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,10,8,9]
[1,2,3,4,8,9,10,5,6,7]=>[7,6,5,10,9,8,4,3,2,1]
[1,2,7,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,7,2,1]
[5,10,3,9,1,8,7,6,4,2]=>[2,4,6,7,8,1,9,3,10,5]
[2,3,4,5,7,8,9,10,6,1]=>[1,6,10,9,8,7,5,4,3,2]
[2,3,4,5,6,7,10,9,8,1]=>[1,8,9,10,7,6,5,4,3,2]
[2,3,4,5,6,9,8,10,7,1]=>[1,7,10,8,9,6,5,4,3,2]
[2,3,4,5,8,7,9,10,6,1]=>[1,6,10,9,7,8,5,4,3,2]
[2,3,4,7,6,8,9,10,5,1]=>[1,5,10,9,8,6,7,4,3,2]
[2,3,6,5,7,8,9,10,4,1]=>[1,4,10,9,8,7,5,6,3,2]
[2,5,4,6,7,8,9,10,3,1]=>[1,3,10,9,8,7,6,4,5,2]
[4,3,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,3,4]
[1,3,10,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,10,3,1]
[2,1,4,3,6,5,10,8,9,7]=>[7,9,8,10,5,6,3,4,1,2]
[2,1,4,3,8,6,7,5,10,9]=>[9,10,5,7,6,8,3,4,1,2]
[2,1,4,3,10,7,9,6,8,5]=>[5,8,6,9,7,10,3,4,1,2]
[2,1,6,4,5,3,8,7,10,9]=>[9,10,7,8,3,5,4,6,1,2]
[2,1,6,4,5,3,10,8,9,7]=>[7,9,8,10,3,5,4,6,1,2]
[2,1,10,8,9,6,7,4,5,3]=>[3,5,4,7,6,9,8,10,1,2]
[2,1,10,7,9,6,8,4,5,3]=>[3,5,4,8,6,9,7,10,1,2]
[2,1,8,5,7,4,6,3,10,9]=>[9,10,3,6,4,7,5,8,1,2]
[2,1,10,8,9,5,7,4,6,3]=>[3,6,4,7,5,9,8,10,1,2]
[2,1,10,7,9,5,8,4,6,3]=>[3,6,4,8,5,9,7,10,1,2]
[2,1,10,6,9,5,8,4,7,3]=>[3,7,4,8,5,9,6,10,1,2]
[4,2,3,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,3,2,4]
[4,2,3,1,6,5,10,8,9,7]=>[7,9,8,10,5,6,1,3,2,4]
[4,2,3,1,8,6,7,5,10,9]=>[9,10,5,7,6,8,1,3,2,4]
[4,2,3,1,10,8,9,6,7,5]=>[5,7,6,9,8,10,1,3,2,4]
[4,2,3,1,10,7,9,6,8,5]=>[5,8,6,9,7,10,1,3,2,4]
[6,4,5,2,3,1,10,8,9,7]=>[7,9,8,10,1,3,2,5,4,6]
[8,6,7,4,5,2,3,1,10,9]=>[9,10,1,3,2,5,4,7,6,8]
[10,7,9,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,9,7,10]
[8,5,7,4,6,2,3,1,10,9]=>[9,10,1,3,2,6,4,7,5,8]
[10,8,9,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,9,8,10]
[10,7,9,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,9,7,10]
[10,6,9,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,9,6,10]
[6,3,5,2,4,1,8,7,10,9]=>[9,10,7,8,1,4,2,5,3,6]
[6,3,5,2,4,1,10,8,9,7]=>[7,9,8,10,1,4,2,5,3,6]
[8,6,7,3,5,2,4,1,10,9]=>[9,10,1,4,2,5,3,7,6,8]
[10,8,9,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,9,8,10]
[10,7,9,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,9,7,10]
[8,5,7,3,6,2,4,1,10,9]=>[9,10,1,4,2,6,3,7,5,8]
[10,8,9,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,9,8,10]
[10,7,9,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,9,7,10]
[10,6,9,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,9,6,10]
[8,4,7,3,6,2,5,1,10,9]=>[9,10,1,5,2,6,3,7,4,8]
[10,8,9,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,9,8,10]
[10,7,9,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,9,7,10]
[10,6,9,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,9,6,10]
[10,5,9,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,9,5,10]
[1,3,5,2,4,7,6,9,8,10]=>[10,8,9,6,7,4,2,5,3,1]
[1,4,2,5,3,7,6,9,8,10]=>[10,8,9,6,7,3,5,2,4,1]
[10,3,1,5,6,7,8,9,2,4]=>[4,2,9,8,7,6,5,1,3,10]
[10,4,1,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,1,4,10]
[4,2,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,2,4]
[4,6,2,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,2,6,4]
[4,6,8,2,10,1,3,5,7,9]=>[9,7,5,3,1,10,2,8,6,4]
[4,6,8,10,2,1,3,5,7,9]=>[9,7,5,3,1,2,10,8,6,4]
[4,6,8,2,9,1,3,5,7,10]=>[10,7,5,3,1,9,2,8,6,4]
[4,6,2,7,9,1,3,5,8,10]=>[10,8,5,3,1,9,7,2,6,4]
[4,2,5,7,9,1,3,6,8,10]=>[10,8,6,3,1,9,7,5,2,4]
[2,3,5,7,9,1,4,6,8,10]=>[10,8,6,4,1,9,7,5,3,2]
[9,7,10,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,10,7,9]
[9,7,5,10,8,6,4,3,2,1]=>[1,2,3,4,6,8,10,5,7,9]
[8,9,6,10,7,5,4,3,2,1]=>[1,2,3,4,5,7,10,6,9,8]
[9,7,5,3,10,8,6,4,2,1]=>[1,2,4,6,8,10,3,5,7,9]
[8,9,6,4,10,7,5,3,2,1]=>[1,2,3,5,7,10,4,6,9,8]
[8,5,9,6,10,7,4,3,2,1]=>[1,2,3,4,7,10,6,9,5,8]
[7,8,9,5,10,6,4,3,2,1]=>[1,2,3,4,6,10,5,9,8,7]
[8,9,6,4,2,10,7,5,3,1]=>[1,3,5,7,10,2,4,6,9,8]
[8,5,9,6,3,10,7,4,2,1]=>[1,2,4,7,10,3,6,9,5,8]
[7,8,9,5,3,10,6,4,2,1]=>[1,2,4,6,10,3,5,9,8,7]
[7,8,4,9,5,10,6,3,2,1]=>[1,2,3,6,10,5,9,4,8,7]
[6,7,8,9,4,10,5,3,2,1]=>[1,2,3,5,10,4,9,8,7,6]
[8,5,9,6,3,1,10,7,4,2]=>[2,4,7,10,1,3,6,9,5,8]
[7,8,9,5,3,1,10,6,4,2]=>[2,4,6,10,1,3,5,9,8,7]
[8,5,2,9,6,3,10,7,4,1]=>[1,4,7,10,3,6,9,2,5,8]
[6,7,8,9,4,2,10,5,3,1]=>[1,3,5,10,2,4,9,8,7,6]
[7,3,8,4,9,5,10,6,2,1]=>[1,2,6,10,5,9,4,8,3,7]
[6,7,8,3,9,4,10,5,2,1]=>[1,2,5,10,4,9,3,8,7,6]
[5,6,7,8,9,3,10,4,2,1]=>[1,2,4,10,3,9,8,7,6,5]
[7,8,4,1,9,5,2,10,6,3]=>[3,6,10,2,5,9,1,4,8,7]
[7,3,8,4,9,5,1,10,6,2]=>[2,6,10,1,5,9,4,8,3,7]
[6,7,8,3,9,4,1,10,5,2]=>[2,5,10,1,4,9,3,8,7,6]
[5,6,7,8,9,3,1,10,4,2]=>[2,4,10,1,3,9,8,7,6,5]
[6,7,2,8,3,9,4,10,5,1]=>[1,5,10,4,9,3,8,2,7,6]
[5,6,7,8,2,9,3,10,4,1]=>[1,4,10,3,9,2,8,7,6,5]
[4,5,6,7,8,9,2,10,3,1]=>[1,3,10,2,9,8,7,6,5,4]
[5,6,7,1,8,2,9,3,10,4]=>[4,10,3,9,2,8,1,7,6,5]
[4,5,6,7,8,1,9,2,10,3]=>[3,10,2,9,1,8,7,6,5,4]
[2,1,4,3,6,5,8,10,7,9]=>[9,7,10,8,5,6,3,4,1,2]
[2,1,4,3,6,8,5,10,7,9]=>[9,7,10,5,8,6,3,4,1,2]
[2,1,4,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,4,1,2]
[2,3,4,5,6,7,10,8,9,1]=>[1,9,8,10,7,6,5,4,3,2]
[2,3,4,5,6,10,7,8,9,1]=>[1,9,8,7,10,6,5,4,3,2]
[2,3,4,10,5,6,7,8,9,1]=>[1,9,8,7,6,5,10,4,3,2]
[2,3,10,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,10,3,2]
[2,3,4,5,6,10,8,7,9,1]=>[1,9,7,8,10,6,5,4,3,2]
[2,3,4,5,10,7,6,8,9,1]=>[1,9,8,6,7,10,5,4,3,2]
[2,3,4,10,6,5,7,8,9,1]=>[1,9,8,7,5,6,10,4,3,2]
[2,3,10,5,4,6,7,8,9,1]=>[1,9,8,7,6,4,5,10,3,2]
[2,10,4,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,4,10,2]
[2,1,4,3,6,5,9,8,10,7]=>[7,10,8,9,5,6,3,4,1,2]
[2,1,4,3,7,6,8,5,10,9]=>[9,10,5,8,6,7,3,4,1,2]
[2,1,4,3,7,6,9,8,10,5]=>[5,10,8,9,6,7,3,4,1,2]
[2,1,4,3,8,7,9,6,10,5]=>[5,10,6,9,7,8,3,4,1,2]
[2,1,5,4,6,3,8,7,10,9]=>[9,10,7,8,3,6,4,5,1,2]
[2,1,5,4,6,3,9,8,10,7]=>[7,10,8,9,3,6,4,5,1,2]
[2,1,5,4,7,6,8,3,10,9]=>[9,10,3,8,6,7,4,5,1,2]
[2,1,5,4,7,6,9,8,10,3]=>[3,10,8,9,6,7,4,5,1,2]
[2,1,5,4,8,7,9,6,10,3]=>[3,10,6,9,7,8,4,5,1,2]
[2,1,6,5,7,4,8,3,10,9]=>[9,10,3,8,4,7,5,6,1,2]
[2,1,6,5,7,4,9,8,10,3]=>[3,10,8,9,4,7,5,6,1,2]
[2,1,6,5,8,7,9,4,10,3]=>[3,10,4,9,7,8,5,6,1,2]
[2,1,7,6,8,5,9,4,10,3]=>[3,10,4,9,5,8,6,7,1,2]
[3,2,4,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,4,2,3]
[3,2,4,1,6,5,9,8,10,7]=>[7,10,8,9,5,6,1,4,2,3]
[3,2,4,1,7,6,8,5,10,9]=>[9,10,5,8,6,7,1,4,2,3]
[3,2,4,1,7,6,9,8,10,5]=>[5,10,8,9,6,7,1,4,2,3]
[3,2,4,1,8,7,9,6,10,5]=>[5,10,6,9,7,8,1,4,2,3]
[3,2,5,4,6,1,8,7,10,9]=>[9,10,7,8,1,6,4,5,2,3]
[3,2,5,4,6,1,9,8,10,7]=>[7,10,8,9,1,6,4,5,2,3]
[3,2,5,4,7,6,8,1,10,9]=>[9,10,1,8,6,7,4,5,2,3]
[3,2,5,4,7,6,9,8,10,1]=>[1,10,8,9,6,7,4,5,2,3]
[3,2,5,4,8,7,9,6,10,1]=>[1,10,6,9,7,8,4,5,2,3]
[3,2,6,5,7,4,8,1,10,9]=>[9,10,1,8,4,7,5,6,2,3]
[3,2,6,5,7,4,9,8,10,1]=>[1,10,8,9,4,7,5,6,2,3]
[3,2,6,5,8,7,9,4,10,1]=>[1,10,4,9,7,8,5,6,2,3]
[3,2,7,6,8,5,9,4,10,1]=>[1,10,4,9,5,8,6,7,2,3]
[4,3,5,2,6,1,8,7,10,9]=>[9,10,7,8,1,6,2,5,3,4]
[4,3,5,2,6,1,9,8,10,7]=>[7,10,8,9,1,6,2,5,3,4]
[4,3,5,2,7,6,8,1,10,9]=>[9,10,1,8,6,7,2,5,3,4]
[4,3,5,2,7,6,9,8,10,1]=>[1,10,8,9,6,7,2,5,3,4]
[4,3,5,2,8,7,9,6,10,1]=>[1,10,6,9,7,8,2,5,3,4]
[4,3,6,5,7,2,8,1,10,9]=>[9,10,1,8,2,7,5,6,3,4]
[4,3,6,5,7,2,9,8,10,1]=>[1,10,8,9,2,7,5,6,3,4]
[4,3,6,5,8,7,9,2,10,1]=>[1,10,2,9,7,8,5,6,3,4]
[4,3,7,6,8,5,9,2,10,1]=>[1,10,2,9,5,8,6,7,3,4]
[5,4,6,3,7,2,8,1,10,9]=>[9,10,1,8,2,7,3,6,4,5]
[5,4,6,3,7,2,9,8,10,1]=>[1,10,8,9,2,7,3,6,4,5]
[5,4,6,3,8,7,9,2,10,1]=>[1,10,2,9,7,8,3,6,4,5]
[5,4,7,6,8,3,9,2,10,1]=>[1,10,2,9,3,8,6,7,4,5]
[9,3,2,1,4,5,6,7,8,10]=>[10,8,7,6,5,4,1,2,3,9]
[4,3,2,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,2,3,4]
[1,2,3,9,4,5,6,7,10,8]=>[8,10,7,6,5,4,9,3,2,1]
[1,2,3,4,5,6,9,7,10,8]=>[8,10,7,9,6,5,4,3,2,1]
[2,3,4,5,6,9,10,1,7,8]=>[8,7,1,10,9,6,5,4,3,2]
[1,2,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,2,1]
[1,2,3,4,5,7,6,9,8,10]=>[10,8,9,6,7,5,4,3,2,1]
[1,2,3,4,5,8,7,10,6,9]=>[9,6,10,7,8,5,4,3,2,1]
[1,2,3,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,3,2,1]
[1,2,3,5,4,6,7,9,8,10]=>[10,8,9,7,6,4,5,3,2,1]
[1,2,3,5,4,7,6,8,9,10]=>[10,9,8,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,3,2,1]
[1,2,3,5,4,8,7,10,6,9]=>[9,6,10,7,8,4,5,3,2,1]
[1,2,3,6,5,8,4,7,9,10]=>[10,9,7,4,8,5,6,3,2,1]
[1,2,3,6,5,9,8,10,4,7]=>[7,4,10,8,9,5,6,3,2,1]
[1,2,3,6,5,9,4,8,7,10]=>[10,7,8,4,9,5,6,3,2,1]
[1,2,3,7,6,10,4,8,5,9]=>[9,5,8,4,10,6,7,3,2,1]
[1,3,2,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,2,3,1]
[1,3,2,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,9,8,10]=>[10,8,9,6,7,5,4,2,3,1]
[1,3,2,4,5,8,7,10,6,9]=>[9,6,10,7,8,5,4,2,3,1]
[1,3,2,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,9,8,10]=>[10,8,9,7,6,4,5,2,3,1]
[1,3,2,5,4,7,6,8,9,10]=>[10,9,8,6,7,4,5,2,3,1]
[1,3,2,5,4,8,7,10,6,9]=>[9,6,10,7,8,4,5,2,3,1]
[1,3,2,6,5,8,4,7,9,10]=>[10,9,7,4,8,5,6,2,3,1]
[1,3,2,6,5,9,8,10,4,7]=>[7,4,10,8,9,5,6,2,3,1]
[1,3,2,6,5,9,4,8,7,10]=>[10,7,8,4,9,5,6,2,3,1]
[1,3,2,7,6,10,4,8,5,9]=>[9,5,8,4,10,6,7,2,3,1]
[1,4,3,6,2,5,7,8,9,10]=>[10,9,8,7,5,2,6,3,4,1]
[1,4,3,6,2,5,7,9,8,10]=>[10,8,9,7,5,2,6,3,4,1]
[1,4,3,7,6,8,2,5,9,10]=>[10,9,5,2,8,6,7,3,4,1]
[1,4,3,7,6,9,8,10,2,5]=>[5,2,10,8,9,6,7,3,4,1]
[1,4,3,8,7,10,2,5,6,9]=>[9,6,5,2,10,7,8,3,4,1]
[1,4,3,7,2,6,5,8,9,10]=>[10,9,8,5,6,2,7,3,4,1]
[1,4,3,7,2,6,5,9,8,10]=>[10,8,9,5,6,2,7,3,4,1]
[1,4,3,8,7,10,2,6,5,9]=>[9,5,6,2,10,7,8,3,4,1]
[1,4,3,8,5,9,2,7,6,10]=>[10,6,7,2,9,5,8,3,4,1]
[1,5,4,8,2,6,3,7,9,10]=>[10,9,7,3,6,2,8,4,5,1]
[1,5,4,9,8,10,2,6,3,7]=>[7,3,6,2,10,8,9,4,5,1]
[1,5,4,9,2,6,3,8,7,10]=>[10,7,8,3,6,2,9,4,5,1]
[1,5,4,9,2,7,6,10,3,8]=>[8,3,10,6,7,2,9,4,5,1]
[1,6,5,10,2,7,4,9,3,8]=>[8,3,9,4,7,2,10,5,6,1]
[10,9,8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8,9,10]
[1,8,9,10,2,3,4,5,6,7]=>[7,6,5,4,3,2,10,9,8,1]
[1,5,6,7,8,9,10,2,3,4]=>[4,3,2,10,9,8,7,6,5,1]
[3,4,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,4,3]
[4,3,1,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,1,3,4]
[6,3,7,1,2,4,5,8,9,10]=>[10,9,8,5,4,2,1,7,3,6]
[5,4,3,1,2,6,7,8,9,10]=>[10,9,8,7,6,2,1,3,4,5]
[8,3,9,10,1,2,4,5,6,7]=>[7,6,5,4,2,1,10,9,3,8]
[7,8,5,6,1,2,3,4,9,10]=>[10,9,4,3,2,1,6,5,8,7]
[7,4,3,8,1,2,5,6,9,10]=>[10,9,6,5,2,1,8,3,4,7]
[6,5,4,3,1,2,7,8,9,10]=>[10,9,8,7,2,1,3,4,5,6]
[9,10,5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5,10,9]
[9,4,3,10,1,2,5,6,7,8]=>[8,7,6,5,2,1,10,3,4,9]
[8,6,9,3,7,1,2,4,5,10]=>[10,5,4,2,1,7,3,9,6,8]
[8,5,4,3,9,1,2,6,7,10]=>[10,7,6,2,1,9,3,4,5,8]
[7,6,5,4,3,1,2,8,9,10]=>[10,9,8,2,1,3,4,5,6,7]
[10,6,3,7,1,2,4,5,8,9]=>[9,8,5,4,2,1,7,3,6,10]
[10,5,4,3,1,2,6,7,8,9]=>[9,8,7,6,2,1,3,4,5,10]
[9,7,4,10,3,8,1,2,5,6]=>[6,5,2,1,8,3,10,4,7,9]
[9,6,5,4,3,10,1,2,7,8]=>[8,7,2,1,10,3,4,5,6,9]
[8,7,6,5,4,3,1,2,9,10]=>[10,9,2,1,3,4,5,6,7,8]
[10,8,6,9,3,7,1,2,4,5]=>[5,4,2,1,7,3,9,6,8,10]
[10,8,5,4,3,9,1,2,6,7]=>[7,6,2,1,9,3,4,5,8,10]
[10,7,6,5,4,3,1,2,8,9]=>[9,8,2,1,3,4,5,6,7,10]
[1,3,4,5,6,7,10,2,8,9]=>[9,8,2,10,7,6,5,4,3,1]
[1,3,4,5,6,10,2,7,8,9]=>[9,8,7,2,10,6,5,4,3,1]
[1,3,4,5,10,2,6,7,8,9]=>[9,8,7,6,2,10,5,4,3,1]
[1,3,4,10,2,5,6,7,8,9]=>[9,8,7,6,5,2,10,4,3,1]
[2,3,4,5,6,7,10,9,1,8]=>[8,1,9,10,7,6,5,4,3,2]
[2,3,4,5,6,10,8,9,1,7]=>[7,1,9,8,10,6,5,4,3,2]
[2,3,4,5,6,10,8,1,9,7]=>[7,9,1,8,10,6,5,4,3,2]
[2,3,4,5,6,10,8,1,7,9]=>[9,7,1,8,10,6,5,4,3,2]
[2,3,4,5,6,10,1,7,8,9]=>[9,8,7,1,10,6,5,4,3,2]
[2,3,4,5,10,7,8,9,1,6]=>[6,1,9,8,7,10,5,4,3,2]
[2,3,4,5,10,7,8,1,9,6]=>[6,9,1,8,7,10,5,4,3,2]
[2,3,4,5,10,7,8,1,6,9]=>[9,6,1,8,7,10,5,4,3,2]
[2,3,4,5,10,7,1,9,6,8]=>[8,6,9,1,7,10,5,4,3,2]
[2,3,4,5,10,7,1,6,8,9]=>[9,8,6,1,7,10,5,4,3,2]
[2,3,4,5,10,1,6,7,8,9]=>[9,8,7,6,1,10,5,4,3,2]
[2,3,4,10,6,7,8,1,9,5]=>[5,9,1,8,7,6,10,4,3,2]
[2,3,4,10,6,7,8,1,5,9]=>[9,5,1,8,7,6,10,4,3,2]
[2,3,4,10,6,7,1,8,9,5]=>[5,9,8,1,7,6,10,4,3,2]
[2,3,4,10,6,7,1,9,5,8]=>[8,5,9,1,7,6,10,4,3,2]
[2,3,4,10,6,7,1,5,8,9]=>[9,8,5,1,7,6,10,4,3,2]
[2,3,4,10,6,1,8,5,9,7]=>[7,9,5,8,1,6,10,4,3,2]
[2,3,4,10,6,1,8,5,7,9]=>[9,7,5,8,1,6,10,4,3,2]
[2,3,4,10,6,1,5,7,8,9]=>[9,8,7,5,1,6,10,4,3,2]
[2,3,4,10,1,5,6,7,8,9]=>[9,8,7,6,5,1,10,4,3,2]
[2,3,10,5,6,1,8,9,4,7]=>[7,4,9,8,1,6,5,10,3,2]
[2,3,10,5,6,1,8,4,9,7]=>[7,9,4,8,1,6,5,10,3,2]
[2,3,10,5,6,1,8,4,7,9]=>[9,7,4,8,1,6,5,10,3,2]
[2,3,10,5,6,1,4,7,8,9]=>[9,8,7,4,1,6,5,10,3,2]
[2,3,10,5,1,7,4,9,6,8]=>[8,6,9,4,7,1,5,10,3,2]
[2,3,10,5,1,7,4,6,8,9]=>[9,8,6,4,7,1,5,10,3,2]
[2,3,10,5,1,4,6,7,8,9]=>[9,8,7,6,4,1,5,10,3,2]
[2,10,4,1,6,3,8,5,9,7]=>[7,9,5,8,3,6,1,4,10,2]
[2,10,4,1,6,3,8,5,7,9]=>[9,7,5,8,3,6,1,4,10,2]
[2,10,4,1,6,3,5,7,8,9]=>[9,8,7,5,3,6,1,4,10,2]
[2,10,4,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,4,10,2]
[8,7,6,5,4,3,2,9,1,10]=>[10,1,9,2,3,4,5,6,7,8]
[3,4,5,6,7,8,10,1,2,9]=>[9,2,1,10,8,7,6,5,4,3]
[3,4,5,6,7,9,10,1,2,8]=>[8,2,1,10,9,7,6,5,4,3]
[3,4,5,6,8,9,10,1,2,7]=>[7,2,1,10,9,8,6,5,4,3]
[3,4,5,7,8,9,10,1,2,6]=>[6,2,1,10,9,8,7,5,4,3]
[3,4,6,7,8,9,10,1,2,5]=>[5,2,1,10,9,8,7,6,4,3]
[3,5,6,7,8,9,10,1,2,4]=>[4,2,1,10,9,8,7,6,5,3]
[3,4,5,6,7,8,1,2,9,10]=>[10,9,2,1,8,7,6,5,4,3]
[3,4,5,6,7,1,10,2,8,9]=>[9,8,2,10,1,7,6,5,4,3]
[3,4,5,6,1,9,10,2,7,8]=>[8,7,2,10,9,1,6,5,4,3]
[3,4,5,1,8,9,10,2,6,7]=>[7,6,2,10,9,8,1,5,4,3]
[3,4,1,7,8,9,10,2,5,6]=>[6,5,2,10,9,8,7,1,4,3]
[3,1,6,7,8,9,10,2,4,5]=>[5,4,2,10,9,8,7,6,1,3]
[3,1,2,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,2,1,3]
[3,5,1,7,2,9,4,8,6,10]=>[10,6,8,4,9,2,7,1,5,3]
[3,5,1,7,2,6,4,9,8,10]=>[10,8,9,4,6,2,7,1,5,3]
[3,5,1,4,2,7,6,9,8,10]=>[10,8,9,6,7,2,4,1,5,3]
[8,9,10,5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5,10,9,8]
[8,9,5,6,10,3,4,7,1,2]=>[2,1,7,4,3,10,6,5,9,8]
[8,9,10,5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5,10,9,8]
[8,9,5,6,10,3,2,4,7,1]=>[1,7,4,2,3,10,6,5,9,8]
[8,9,10,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,10,9,8]
[8,9,5,10,3,6,2,4,7,1]=>[1,7,4,2,6,3,10,5,9,8]
[8,9,5,3,6,10,2,4,7,1]=>[1,7,4,2,10,6,3,5,9,8]
[8,5,9,10,3,6,2,4,7,1]=>[1,7,4,2,6,3,10,9,5,8]
[10,1,9,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,9,1,10]
[9,1,10,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,10,1,9]
[8,1,9,10,7,2,3,4,5,6]=>[6,5,4,3,2,7,10,9,1,8]
[10,1,8,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,8,1,10]
[3,1,10,9,6,7,8,2,4,5]=>[5,4,2,8,7,6,9,10,1,3]
[3,1,9,10,8,7,2,4,5,6]=>[6,5,4,2,7,8,10,9,1,3]
[3,1,8,9,10,2,4,5,6,7]=>[7,6,5,4,2,10,9,8,1,3]
[10,2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2,10]
[10,2,3,4,5,6,9,8,7,1]=>[1,7,8,9,6,5,4,3,2,10]
[10,2,3,4,5,9,7,8,6,1]=>[1,6,8,7,9,5,4,3,2,10]
[10,2,3,4,9,6,7,8,5,1]=>[1,5,8,7,6,9,4,3,2,10]
[10,2,3,9,5,6,7,8,4,1]=>[1,4,8,7,6,5,9,3,2,10]
[10,2,9,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,9,2,10]
[8,2,3,4,5,10,9,1,7,6]=>[6,7,1,9,10,5,4,3,2,8]
[7,2,3,4,10,9,1,8,6,5]=>[5,6,8,1,9,10,4,3,2,7]
[6,2,3,10,9,1,7,8,5,4]=>[4,5,8,7,1,9,10,3,2,6]
[5,2,10,9,1,6,7,8,4,3]=>[3,4,8,7,6,1,9,10,2,5]
[4,10,9,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,9,10,4]
[4,2,5,1,6,3,8,7,10,9]=>[9,10,7,8,3,6,1,5,2,4]
[4,2,6,1,7,3,8,5,10,9]=>[9,10,5,8,3,7,1,6,2,4]
[4,2,6,1,8,3,9,5,10,7]=>[7,10,5,9,3,8,1,6,2,4]
[4,2,6,1,8,3,9,5,7,10]=>[10,7,5,9,3,8,1,6,2,4]
[4,2,6,1,7,3,5,9,8,10]=>[10,8,9,5,3,7,1,6,2,4]
[4,2,5,1,3,7,6,9,8,10]=>[10,8,9,6,7,3,1,5,2,4]
[10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10]
[2,3,4,5,9,7,8,10,6,1]=>[1,6,10,8,7,9,5,4,3,2]
[2,3,4,9,6,7,8,10,1,5]=>[5,1,10,8,7,6,9,4,3,2]
[2,3,9,5,6,7,8,10,4,1]=>[1,4,10,8,7,6,5,9,3,2]
[2,9,4,5,6,7,8,10,3,1]=>[1,3,10,8,7,6,5,4,9,2]
[9,3,4,5,6,7,8,10,1,2]=>[2,1,10,8,7,6,5,4,3,9]
[2,3,4,5,6,8,10,1,9,7]=>[7,9,1,10,8,6,5,4,3,2]
[2,3,4,5,7,8,1,10,6,9]=>[9,6,10,1,8,7,5,4,3,2]
[2,3,4,6,7,1,8,10,5,9]=>[9,5,10,8,1,7,6,4,3,2]
[2,3,5,6,1,7,8,10,9,4]=>[4,9,10,8,7,1,6,5,3,2]
[2,4,5,1,6,7,8,10,3,9]=>[9,3,10,8,7,6,1,5,4,2]
[3,4,1,5,6,7,8,10,2,9]=>[9,2,10,8,7,6,5,1,4,3]
[3,2,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,2,3]
[8,10,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,10,8]
[1,3,5,2,7,4,6,9,8,10]=>[10,8,9,6,4,7,2,5,3,1]
[1,3,5,2,7,4,9,6,8,10]=>[10,8,6,9,4,7,2,5,3,1]
[1,3,5,2,7,4,9,6,10,8]=>[8,10,6,9,4,7,2,5,3,1]
[1,3,5,2,7,4,8,6,10,9]=>[9,10,6,8,4,7,2,5,3,1]
[1,3,5,2,6,4,8,7,10,9]=>[9,10,7,8,4,6,2,5,3,1]
[1,3,5,7,2,4,6,9,8,10]=>[10,8,9,6,4,2,7,5,3,1]
[1,3,5,2,7,9,4,6,8,10]=>[10,8,6,4,9,7,2,5,3,1]
[1,3,5,2,7,4,9,10,6,8]=>[8,6,10,9,4,7,2,5,3,1]
[1,3,5,2,7,4,8,6,9,10]=>[10,9,6,8,4,7,2,5,3,1]
[1,3,5,2,6,4,9,7,10,8]=>[8,10,7,9,4,6,2,5,3,1]
[1,3,4,2,7,5,8,6,10,9]=>[9,10,6,8,5,7,2,4,3,1]
[1,2,5,3,6,4,8,7,10,9]=>[9,10,7,8,4,6,3,5,2,1]
[2,4,1,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,1,4,2]
[5,6,2,1,3,7,4,8,9,10]=>[10,9,8,4,7,3,1,2,6,5]
[3,2,5,1,6,4,7,8,9,10]=>[10,9,8,7,4,6,1,5,2,3]
[6,7,2,1,8,3,4,9,5,10]=>[10,5,9,4,3,8,1,2,7,6]
[3,6,4,1,7,2,8,5,9,10]=>[10,9,5,8,2,7,1,4,6,3]
[3,6,7,2,1,4,8,5,9,10]=>[10,9,5,8,4,1,2,7,6,3]
[4,2,6,1,7,5,3,8,9,10]=>[10,9,8,3,5,7,1,6,2,4]
[4,3,2,6,1,7,5,8,9,10]=>[10,9,8,5,7,1,6,2,3,4]
[3,4,7,1,8,2,9,5,10,6]=>[6,10,5,9,2,8,1,7,4,3]
[7,8,9,3,2,1,4,5,10,6]=>[6,10,5,4,1,2,3,9,8,7]
[4,7,2,5,1,8,3,9,6,10]=>[10,6,9,3,8,1,5,2,7,4]
[4,3,7,8,2,1,5,9,6,10]=>[10,6,9,5,1,2,8,7,3,4]
[3,5,2,7,1,8,6,4,9,10]=>[10,9,4,6,8,1,7,2,5,3]
[5,4,3,2,7,1,8,6,9,10]=>[10,9,6,8,1,7,2,3,4,5]
[5,8,9,2,1,6,3,10,7,4]=>[4,7,10,3,6,1,2,9,8,5]
[5,3,8,6,4,1,9,2,10,7]=>[7,10,2,9,1,4,6,8,3,5]
[3,5,8,2,6,1,9,4,10,7]=>[7,10,4,9,1,6,2,8,5,3]
[5,4,3,8,9,2,1,6,10,7]=>[7,10,6,1,2,9,8,3,4,5]
[6,4,2,8,1,9,7,5,3,10]=>[10,3,5,7,9,1,8,2,4,6]
[4,3,6,2,8,1,9,7,5,10]=>[10,5,7,9,1,8,2,6,3,4]
[6,5,4,3,2,8,1,9,7,10]=>[10,7,9,1,8,2,3,4,5,6]
[5,3,7,2,9,1,10,8,6,4]=>[4,6,8,10,1,9,2,7,3,5]
[5,4,3,7,2,9,1,10,8,6]=>[6,8,10,1,9,2,7,3,4,5]
[7,6,5,4,3,2,9,1,10,8]=>[8,10,1,9,2,3,4,5,6,7]
[1,9,8,10,7,6,5,4,3,2]=>[2,3,4,5,6,7,10,8,9,1]
[2,1,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,1,2]
[3,1,2,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,2,1,3]
[4,1,2,3,10,5,6,7,8,9]=>[9,8,7,6,5,10,3,2,1,4]
[5,1,2,3,4,10,6,7,8,9]=>[9,8,7,6,10,4,3,2,1,5]
[6,1,2,3,4,5,10,7,8,9]=>[9,8,7,10,5,4,3,2,1,6]
[7,1,2,3,4,5,6,10,8,9]=>[9,8,10,6,5,4,3,2,1,7]
[10,8,6,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,6,8,10]
[10,7,4,1,8,5,2,9,6,3]=>[3,6,9,2,5,8,1,4,7,10]
[9,6,3,8,5,2,10,7,4,1]=>[1,4,7,10,2,5,8,3,6,9]
[9,5,1,7,3,10,6,2,8,4]=>[4,8,2,6,10,3,7,1,5,9]
[10,6,2,7,3,8,4,9,5,1]=>[1,5,9,4,8,3,7,2,6,10]
[7,3,8,4,10,6,2,9,5,1]=>[1,5,9,2,6,10,4,8,3,7]
[8,4,7,3,10,6,2,9,5,1]=>[1,5,9,2,6,10,3,7,4,8]
[10,5,8,3,6,1,9,4,7,2]=>[2,7,4,9,1,6,3,8,5,10]
[9,4,7,2,10,5,8,3,6,1]=>[1,6,3,8,5,10,2,7,4,9]
[10,5,7,2,8,3,9,4,6,1]=>[1,6,4,9,3,8,2,7,5,10]
[8,3,10,5,7,2,9,4,6,1]=>[1,6,4,9,2,7,5,10,3,8]
[8,3,9,4,7,2,10,5,6,1]=>[1,6,5,10,2,7,4,9,3,8]
[9,3,5,7,1,10,4,6,8,2]=>[2,8,6,4,10,1,7,5,3,9]
[10,4,6,8,2,9,3,5,7,1]=>[1,7,5,3,9,2,8,6,4,10]
[10,4,5,6,7,1,8,2,9,3]=>[3,9,2,8,1,7,6,5,4,10]
[8,2,9,3,10,4,5,6,7,1]=>[1,7,6,5,4,10,3,9,2,8]
[9,3,8,2,10,4,5,6,7,1]=>[1,7,6,5,4,10,2,8,3,9]
[5,6,9,3,7,1,10,4,8,2]=>[2,8,4,10,1,7,3,9,6,5]
[5,6,10,4,8,2,9,3,7,1]=>[1,7,3,9,2,8,4,10,6,5]
[5,6,9,3,8,2,10,4,7,1]=>[1,7,4,10,2,8,3,9,6,5]
[6,5,9,3,8,2,10,4,7,1]=>[1,7,4,10,2,8,3,9,5,6]
[9,2,7,6,5,4,10,3,8,1]=>[1,8,3,10,4,5,6,7,2,9]
[10,3,7,6,5,4,8,1,9,2]=>[2,9,1,8,4,5,6,7,3,10]
[9,2,10,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,10,2,9]
[7,6,5,4,9,2,10,3,8,1]=>[1,8,3,10,2,9,4,5,6,7]
[6,4,7,5,10,3,9,2,8,1]=>[1,8,2,9,3,10,5,7,4,6]
[6,4,7,5,9,2,10,3,8,1]=>[1,8,3,10,2,9,5,7,4,6]
[7,5,6,4,9,2,10,3,8,1]=>[1,8,3,10,2,9,4,6,5,7]
[6,5,7,4,9,2,10,3,8,1]=>[1,8,3,10,2,9,4,7,5,6]
[5,6,7,3,8,4,9,1,10,2]=>[2,10,1,9,4,8,3,7,6,5]
[5,6,7,3,8,4,10,2,9,1]=>[1,9,2,10,4,8,3,7,6,5]
[5,6,8,4,7,3,10,2,9,1]=>[1,9,2,10,3,7,4,8,6,5]
[6,5,8,4,7,3,10,2,9,1]=>[1,9,2,10,3,7,4,8,5,6]
[4,2,5,6,7,8,9,10,1,3]=>[3,1,10,9,8,7,6,5,2,4]
[1,5,6,7,8,9,10,3,4,2]=>[2,4,3,10,9,8,7,6,5,1]
[1,3,6,7,8,9,10,2,5,4]=>[4,5,2,10,9,8,7,6,3,1]
[3,1,6,7,8,9,10,4,5,2]=>[2,5,4,10,9,8,7,6,1,3]
[9,4,5,6,7,8,2,1,10,3]=>[3,10,1,2,8,7,6,5,4,9]
[4,2,1,7,8,9,10,3,6,5]=>[5,6,3,10,9,8,7,1,2,4]
[10,2,5,6,7,8,9,3,1,4]=>[4,1,3,9,8,7,6,5,2,10]
[7,1,2,3,9,5,6,10,8,4]=>[4,8,10,6,5,9,3,2,1,7]
[6,1,2,9,4,5,3,10,8,7]=>[7,8,10,3,5,4,9,2,1,6]
[9,1,2,3,8,5,10,7,6,4]=>[4,6,7,10,5,8,3,2,1,9]
[9,1,2,8,4,3,10,7,5,6]=>[6,5,7,10,3,4,8,2,1,9]
[8,1,2,7,4,10,6,5,3,9]=>[9,3,5,6,10,4,7,2,1,8]
[9,1,8,3,2,5,10,7,4,6]=>[6,4,7,10,5,2,3,8,1,9]
[8,1,7,3,2,10,6,4,5,9]=>[9,5,4,6,10,2,3,7,1,8]
[7,1,2,3,10,5,6,9,8,4]=>[4,8,9,6,5,10,3,2,1,7]
[6,1,2,10,4,5,3,9,8,7]=>[7,8,9,3,5,4,10,2,1,6]
[8,1,2,3,10,5,9,6,7,4]=>[4,7,6,9,5,10,3,2,1,8]
[8,1,2,10,4,3,9,5,7,6]=>[6,7,5,9,3,4,10,2,1,8]
[7,1,2,10,4,9,5,3,6,8]=>[8,6,3,5,9,4,10,2,1,7]
[8,1,10,3,2,5,9,4,7,6]=>[6,7,4,9,5,2,3,10,1,8]
[7,1,10,3,2,9,4,5,6,8]=>[8,6,5,4,9,2,3,10,1,7]
[10,1,2,3,9,5,8,7,6,4]=>[4,6,7,8,5,9,3,2,1,10]
[10,1,2,9,4,3,8,7,5,6]=>[6,5,7,8,3,4,9,2,1,10]
[10,1,2,9,4,8,3,6,5,7]=>[7,5,6,3,8,4,9,2,1,10]
[9,1,2,8,4,7,6,5,3,10]=>[10,3,5,6,7,4,8,2,1,9]
[10,1,9,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,9,1,10]
[10,1,9,3,2,8,5,6,4,7]=>[7,4,6,5,8,2,3,9,1,10]
[9,1,8,3,2,7,6,4,5,10]=>[10,5,4,6,7,2,3,8,1,9]
[8,1,2,3,10,9,5,7,6,4]=>[4,6,7,5,9,10,3,2,1,8]
[8,1,2,10,3,9,4,7,6,5]=>[5,6,7,4,9,3,10,2,1,8]
[7,1,2,10,9,4,6,3,5,8]=>[8,5,3,6,4,9,10,2,1,7]
[8,1,10,2,4,9,3,7,6,5]=>[5,6,7,3,9,4,2,10,1,8]
[7,1,10,2,9,3,6,4,5,8]=>[8,5,4,6,3,9,2,10,1,7]
[10,1,2,3,9,8,5,6,7,4]=>[4,7,6,5,8,9,3,2,1,10]
[10,1,2,9,3,8,4,6,7,5]=>[5,7,6,4,8,3,9,2,1,10]
[10,1,2,9,8,4,3,5,6,7]=>[7,6,5,3,4,8,9,2,1,10]
[9,1,2,8,7,4,5,6,3,10]=>[10,3,6,5,4,7,8,2,1,9]
[10,1,9,2,4,8,3,6,7,5]=>[5,7,6,3,8,4,2,9,1,10]
[10,1,9,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,9,1,10]
[9,1,8,2,7,3,5,6,4,10]=>[10,4,6,5,3,7,2,8,1,9]
[10,1,9,8,3,2,6,4,5,7]=>[7,5,4,6,2,3,8,9,1,10]
[9,1,8,7,3,2,4,5,6,10]=>[10,6,5,4,2,3,7,8,1,9]
[8,10,1,3,4,9,2,7,6,5]=>[5,6,7,2,9,4,3,1,10,8]
[7,10,1,3,9,2,6,4,5,8]=>[8,5,4,6,2,9,3,1,10,7]
[10,9,1,3,4,8,2,6,7,5]=>[5,7,6,2,8,4,3,1,9,10]
[10,9,1,3,8,2,4,5,6,7]=>[7,6,5,4,2,8,3,1,9,10]
[9,8,1,3,7,2,5,6,4,10]=>[10,4,6,5,2,7,3,1,8,9]
[10,9,1,8,2,3,6,4,5,7]=>[7,5,4,6,3,2,8,1,9,10]
[9,8,1,7,2,3,4,5,6,10]=>[10,6,5,4,3,2,7,1,8,9]
[7,8,10,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,10,8,7]
[6,7,8,10,1,2,3,4,5,9]=>[9,5,4,3,2,1,10,8,7,6]
[4,5,6,7,8,10,1,2,3,9]=>[9,3,2,1,10,8,7,6,5,4]
[1,6,7,5,8,4,9,3,10,2]=>[2,10,3,9,4,8,5,7,6,1]
[5,6,4,7,3,9,2,8,1,10]=>[10,1,8,2,9,3,7,4,6,5]
[1,6,7,5,8,4,10,3,9,2]=>[2,9,3,10,4,8,5,7,6,1]
[1,2,3,4,5,6,8,10,7,9]=>[9,7,10,8,6,5,4,3,2,1]
[1,2,3,4,5,7,9,6,8,10]=>[10,8,6,9,7,5,4,3,2,1]
[1,2,3,4,6,8,10,5,7,9]=>[9,7,5,10,8,6,4,3,2,1]
[1,2,3,5,7,9,4,6,8,10]=>[10,8,6,4,9,7,5,3,2,1]
[1,2,4,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,4,2,1]
[1,3,5,7,9,2,4,6,8,10]=>[10,8,6,4,2,9,7,5,3,1]
[3,4,5,6,7,8,9,2,1,10]=>[10,1,2,9,8,7,6,5,4,3]
[5,6,7,9,8,1,2,3,4,10]=>[10,4,3,2,1,8,9,7,6,5]
[1,6,7,8,10,9,2,3,4,5]=>[5,4,3,2,9,10,8,7,6,1]
[8,9,10,4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4,10,9,8]
[8,9,4,5,6,10,2,3,1,7]=>[7,1,3,2,10,6,5,4,9,8]
[8,9,10,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,10,9,8]
[8,9,4,5,10,2,3,6,1,7]=>[7,1,6,3,2,10,5,4,9,8]
[8,9,4,5,2,3,6,10,1,7]=>[7,1,10,6,3,2,5,4,9,8]
[8,4,5,9,10,2,3,6,1,7]=>[7,1,6,3,2,10,9,5,4,8]
[8,4,5,9,2,3,6,10,1,7]=>[7,1,10,6,3,2,9,5,4,8]
[8,9,10,4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4,10,9,8]
[8,9,4,5,6,10,2,1,3,7]=>[7,3,1,2,10,6,5,4,9,8]
[8,9,10,4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4,10,9,8]
[8,9,4,5,10,2,6,1,3,7]=>[7,3,1,6,2,10,5,4,9,8]
[8,9,4,5,2,6,10,1,3,7]=>[7,3,1,10,6,2,5,4,9,8]
[8,4,5,9,10,2,6,1,3,7]=>[7,3,1,6,2,10,9,5,4,8]
[8,4,5,9,2,6,10,1,3,7]=>[7,3,1,10,6,2,9,5,4,8]
[8,9,10,4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4,10,9,8]
[8,9,4,5,10,2,1,3,6,7]=>[7,6,3,1,2,10,5,4,9,8]
[8,9,4,5,2,10,1,3,6,7]=>[7,6,3,1,10,2,5,4,9,8]
[8,9,4,5,2,1,3,6,10,7]=>[7,10,6,3,1,2,5,4,9,8]
[8,4,5,9,10,2,1,3,6,7]=>[7,6,3,1,2,10,9,5,4,8]
[8,4,5,9,2,10,1,3,6,7]=>[7,6,3,1,10,2,9,5,4,8]
[8,4,5,9,2,1,3,6,10,7]=>[7,10,6,3,1,2,9,5,4,8]
[8,9,10,4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4,10,9,8]
[8,9,4,10,2,5,6,1,3,7]=>[7,3,1,6,5,2,10,4,9,8]
[8,9,4,2,5,6,10,1,3,7]=>[7,3,1,10,6,5,2,4,9,8]
[8,4,9,10,2,5,6,1,3,7]=>[7,3,1,6,5,2,10,9,4,8]
[8,4,9,2,5,6,10,1,3,7]=>[7,3,1,10,6,5,2,9,4,8]
[8,9,10,4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4,10,9,8]
[8,9,4,10,2,5,1,3,6,7]=>[7,6,3,1,5,2,10,4,9,8]
[8,9,4,2,5,10,1,3,6,7]=>[7,6,3,1,10,5,2,4,9,8]
[8,9,4,2,5,1,3,6,10,7]=>[7,10,6,3,1,5,2,4,9,8]
[8,4,9,10,2,5,1,3,6,7]=>[7,6,3,1,5,2,10,9,4,8]
[8,4,9,2,5,1,3,6,10,7]=>[7,10,6,3,1,5,2,9,4,8]
[8,4,2,5,9,10,1,3,6,7]=>[7,6,3,1,10,9,5,2,4,8]
[8,4,2,5,9,1,3,6,10,7]=>[7,10,6,3,1,9,5,2,4,8]
[4,8,9,10,2,5,6,1,3,7]=>[7,3,1,6,5,2,10,9,8,4]
[4,8,9,2,5,6,10,1,3,7]=>[7,3,1,10,6,5,2,9,8,4]
[4,8,9,10,2,5,1,3,6,7]=>[7,6,3,1,5,2,10,9,8,4]
[4,8,9,2,5,10,1,3,6,7]=>[7,6,3,1,10,5,2,9,8,4]
[4,8,9,2,5,1,3,6,10,7]=>[7,10,6,3,1,5,2,9,8,4]
[4,8,2,5,9,10,1,3,6,7]=>[7,6,3,1,10,9,5,2,8,4]
[4,8,2,5,9,1,3,6,10,7]=>[7,10,6,3,1,9,5,2,8,4]
[5,8,9,10,2,6,7,3,4,1]=>[1,4,3,7,6,2,10,9,8,5]
[2,6,9,10,3,7,8,4,5,1]=>[1,5,4,8,7,3,10,9,6,2]
[7,8,9,10,1,5,6,2,4,3]=>[3,4,2,6,5,1,10,9,8,7]
[6,5,3,1,2,4,8,7,10,9]=>[9,10,7,8,4,2,1,3,5,6]
[8,7,5,3,1,2,4,6,10,9]=>[9,10,6,4,2,1,3,5,7,8]
[10,9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9,10]
[7,5,3,1,2,4,6,9,8,10]=>[10,8,9,6,4,2,1,3,5,7]
[5,3,1,2,4,7,6,9,8,10]=>[10,8,9,6,7,4,2,1,3,5]
[2,1,4,3,6,5,9,7,10,8]=>[8,10,7,9,5,6,3,4,1,2]
[2,1,4,3,7,5,8,6,10,9]=>[9,10,6,8,5,7,3,4,1,2]
[2,1,4,3,7,5,9,6,10,8]=>[8,10,6,9,5,7,3,4,1,2]
[2,1,5,3,6,4,8,7,10,9]=>[9,10,7,8,4,6,3,5,1,2]
[2,1,5,3,6,4,9,7,10,8]=>[8,10,7,9,4,6,3,5,1,2]
[2,1,5,3,7,4,9,6,10,8]=>[8,10,6,9,4,7,3,5,1,2]
[2,1,7,3,8,4,9,5,10,6]=>[6,10,5,9,4,8,3,7,1,2]
[3,1,4,2,6,5,9,7,10,8]=>[8,10,7,9,5,6,2,4,1,3]
[3,1,4,2,7,5,8,6,10,9]=>[9,10,6,8,5,7,2,4,1,3]
[4,1,6,2,8,3,9,5,10,7]=>[7,10,5,9,3,8,2,6,1,4]
[5,1,7,2,8,3,9,4,10,6]=>[6,10,4,9,3,8,2,7,1,5]
[10,3,9,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,9,3,10]
[2,10,9,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,9,10,2]
[8,3,10,9,7,6,1,5,4,2]=>[2,4,5,1,6,7,9,10,3,8]
[1,2,10,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,10,2,1]
[1,8,2,9,3,7,4,6,5,10]=>[10,5,6,4,7,3,9,2,8,1]
[1,2,9,3,10,4,8,5,7,6]=>[6,7,5,8,4,10,3,9,2,1]
[9,3,4,5,6,7,1,2,10,8]=>[8,10,2,1,7,6,5,4,3,9]
[2,9,4,5,6,7,1,3,10,8]=>[8,10,3,1,7,6,5,4,9,2]
[7,3,4,5,6,1,9,2,10,8]=>[8,10,2,9,1,6,5,4,3,7]
[1,7,2,8,3,9,4,10,5,6]=>[6,5,10,4,9,3,8,2,7,1]
[1,7,2,8,3,9,10,4,5,6]=>[6,5,4,10,9,3,8,2,7,1]
[1,7,2,8,9,3,4,10,5,6]=>[6,5,10,4,3,9,8,2,7,1]
[1,7,2,8,9,3,10,4,5,6]=>[6,5,4,10,3,9,8,2,7,1]
[1,7,2,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,2,7,1]
[1,7,8,2,3,9,4,10,5,6]=>[6,5,10,4,9,3,2,8,7,1]
[1,7,8,2,3,9,10,4,5,6]=>[6,5,4,10,9,3,2,8,7,1]
[1,7,8,2,9,3,4,10,5,6]=>[6,5,10,4,3,9,2,8,7,1]
[1,7,8,2,9,3,10,4,5,6]=>[6,5,4,10,3,9,2,8,7,1]
[1,7,8,2,9,10,3,4,5,6]=>[6,5,4,3,10,9,2,8,7,1]
[1,7,8,9,2,3,4,10,5,6]=>[6,5,10,4,3,2,9,8,7,1]
[1,7,8,9,2,3,10,4,5,6]=>[6,5,4,10,3,2,9,8,7,1]
[1,7,8,9,2,10,3,4,5,6]=>[6,5,4,3,10,2,9,8,7,1]
[7,1,2,8,3,9,4,10,5,6]=>[6,5,10,4,9,3,8,2,1,7]
[7,1,2,8,3,9,10,4,5,6]=>[6,5,4,10,9,3,8,2,1,7]
[7,1,2,8,9,3,4,10,5,6]=>[6,5,10,4,3,9,8,2,1,7]
[7,1,2,8,9,3,10,4,5,6]=>[6,5,4,10,3,9,8,2,1,7]
[7,1,2,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,2,1,7]
[7,1,8,2,3,9,4,10,5,6]=>[6,5,10,4,9,3,2,8,1,7]
[7,1,8,2,3,9,10,4,5,6]=>[6,5,4,10,9,3,2,8,1,7]
[7,1,8,2,9,3,4,10,5,6]=>[6,5,10,4,3,9,2,8,1,7]
[7,1,8,2,9,10,3,4,5,6]=>[6,5,4,3,10,9,2,8,1,7]
[7,1,8,9,2,3,4,10,5,6]=>[6,5,10,4,3,2,9,8,1,7]
[7,1,8,9,2,3,10,4,5,6]=>[6,5,4,10,3,2,9,8,1,7]
[7,1,8,9,2,10,3,4,5,6]=>[6,5,4,3,10,2,9,8,1,7]
[7,1,8,9,10,2,3,4,5,6]=>[6,5,4,3,2,10,9,8,1,7]
[7,8,1,2,3,9,4,10,5,6]=>[6,5,10,4,9,3,2,1,8,7]
[7,8,1,2,3,9,10,4,5,6]=>[6,5,4,10,9,3,2,1,8,7]
[7,8,1,2,9,3,4,10,5,6]=>[6,5,10,4,3,9,2,1,8,7]
[7,8,1,2,9,3,10,4,5,6]=>[6,5,4,10,3,9,2,1,8,7]
[7,8,1,2,9,10,3,4,5,6]=>[6,5,4,3,10,9,2,1,8,7]
[7,8,1,9,2,3,4,10,5,6]=>[6,5,10,4,3,2,9,1,8,7]
[7,8,1,9,2,3,10,4,5,6]=>[6,5,4,10,3,2,9,1,8,7]
[7,8,1,9,2,10,3,4,5,6]=>[6,5,4,3,10,2,9,1,8,7]
[7,8,1,9,10,2,3,4,5,6]=>[6,5,4,3,2,10,9,1,8,7]
[7,8,9,1,2,3,4,10,5,6]=>[6,5,10,4,3,2,1,9,8,7]
[7,8,9,1,2,3,10,4,5,6]=>[6,5,4,10,3,2,1,9,8,7]
[7,8,9,1,2,10,3,4,5,6]=>[6,5,4,3,10,2,1,9,8,7]
[7,8,9,1,10,2,3,4,5,6]=>[6,5,4,3,2,10,1,9,8,7]
[6,7,3,1,8,2,4,9,5,10]=>[10,5,9,4,2,8,1,3,7,6]
[2,6,7,3,1,4,8,5,9,10]=>[10,9,5,8,4,1,3,7,6,2]
[7,8,2,4,1,9,3,5,10,6]=>[6,10,5,3,9,1,4,2,8,7]
[3,2,7,8,4,1,5,9,6,10]=>[10,6,9,5,1,4,8,7,2,3]
[2,8,9,5,1,6,3,10,7,4]=>[4,7,10,3,6,1,5,9,8,2]
[8,3,2,5,6,1,9,4,10,7]=>[7,10,4,9,1,6,5,2,3,8]
[4,3,2,8,9,5,1,6,10,7]=>[7,10,6,1,5,9,8,2,3,4]
[1,8,9,10,7,6,5,4,3,2]=>[2,3,4,5,6,7,10,9,8,1]
[1,7,8,9,10,6,5,4,3,2]=>[2,3,4,5,6,10,9,8,7,1]
[1,6,7,8,9,10,5,4,3,2]=>[2,3,4,5,10,9,8,7,6,1]
[1,5,6,7,8,9,10,4,3,2]=>[2,3,4,10,9,8,7,6,5,1]
[1,4,5,6,7,8,9,10,3,2]=>[2,3,10,9,8,7,6,5,4,1]
[9,2,10,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,10,2,9]
[10,9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9,10]
[8,2,9,10,1,3,4,5,6,7]=>[7,6,5,4,3,1,10,9,2,8]
[8,10,2,9,1,3,4,5,6,7]=>[7,6,5,4,3,1,9,2,10,8]
[10,8,2,9,1,3,4,5,6,7]=>[7,6,5,4,3,1,9,2,8,10]
[10,9,8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8,9,10]
[7,2,8,9,10,1,3,4,5,6]=>[6,5,4,3,1,10,9,8,2,7]
[7,10,2,8,9,1,3,4,5,6]=>[6,5,4,3,1,9,8,2,10,7]
[10,7,2,8,9,1,3,4,5,6]=>[6,5,4,3,1,9,8,2,7,10]
[9,7,10,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,10,7,9]
[10,9,7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7,9,10]
[10,9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9,10]
[6,10,2,7,8,9,1,3,4,5]=>[5,4,3,1,9,8,7,2,10,6]
[10,6,2,7,8,9,1,3,4,5]=>[5,4,3,1,9,8,7,2,6,10]
[6,9,10,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,10,9,6]
[10,9,6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6,9,10]
[8,10,6,9,2,7,1,3,4,5]=>[5,4,3,1,7,2,9,6,10,8]
[10,8,6,9,2,7,1,3,4,5]=>[5,4,3,1,7,2,9,6,8,10]
[10,9,8,6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6,8,9,10]
[10,9,8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8,9,10]
[8,10,5,9,2,6,7,1,3,4]=>[4,3,1,7,6,2,9,5,10,8]
[10,8,5,9,2,6,7,1,3,4]=>[4,3,1,7,6,2,9,5,8,10]
[10,9,8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8,9,10]
[9,7,10,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,10,7,9]
[10,9,7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7,9,10]
[10,9,8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8,9,10]
[10,9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9,10]
[10,9,8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8,9,10]
[10,9,8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8,9,10]
[9,10,6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6,10,9]
[10,7,8,4,2,1,3,6,5,9]=>[9,5,6,3,1,2,4,8,7,10]
[9,7,10,4,2,1,3,6,8,5]=>[5,8,6,3,1,2,4,10,7,9]
[8,9,10,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,10,9,8]
[10,8,5,6,2,1,4,3,7,9]=>[9,7,3,4,1,2,6,5,8,10]
[9,10,5,6,2,1,4,3,8,7]=>[7,8,3,4,1,2,6,5,10,9]
[10,7,5,8,2,1,4,6,3,9]=>[9,3,6,4,1,2,8,5,7,10]
[9,7,5,10,2,1,4,6,8,3]=>[3,8,6,4,1,2,10,5,7,9]
[8,9,5,10,2,1,4,7,6,3]=>[3,6,7,4,1,2,10,5,9,8]
[10,6,7,8,2,1,5,4,3,9]=>[9,3,4,5,1,2,8,7,6,10]
[9,6,7,10,2,1,5,4,8,3]=>[3,8,4,5,1,2,10,7,6,9]
[8,6,9,10,2,1,5,7,4,3]=>[3,4,7,5,1,2,10,9,6,8]
[7,8,9,10,2,1,6,5,4,3]=>[3,4,5,6,1,2,10,9,8,7]
[10,8,6,3,4,2,1,5,7,9]=>[9,7,5,1,2,4,3,6,8,10]
[9,10,6,3,4,2,1,5,8,7]=>[7,8,5,1,2,4,3,6,10,9]
[10,7,8,3,4,2,1,6,5,9]=>[9,5,6,1,2,4,3,8,7,10]
[9,7,10,3,4,2,1,6,8,5]=>[5,8,6,1,2,4,3,10,7,9]
[8,9,10,3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3,10,9,8]
[10,8,5,3,6,2,4,1,7,9]=>[9,7,1,4,2,6,3,5,8,10]
[9,10,5,3,6,2,4,1,8,7]=>[7,8,1,4,2,6,3,5,10,9]
[10,7,5,3,8,2,4,6,1,9]=>[9,1,6,4,2,8,3,5,7,10]
[9,7,5,3,10,2,4,6,8,1]=>[1,8,6,4,2,10,3,5,7,9]
[8,9,5,3,10,2,4,7,6,1]=>[1,6,7,4,2,10,3,5,9,8]
[10,6,7,3,8,2,5,4,1,9]=>[9,1,4,5,2,8,3,7,6,10]
[9,6,7,3,10,2,5,4,8,1]=>[1,8,4,5,2,10,3,7,6,9]
[8,6,9,3,10,2,5,7,4,1]=>[1,4,7,5,2,10,3,9,6,8]
[7,8,9,3,10,2,6,5,4,1]=>[1,4,5,6,2,10,3,9,8,7]
[10,8,4,5,6,3,2,1,7,9]=>[9,7,1,2,3,6,5,4,8,10]
[9,10,4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4,10,9]
[10,7,4,5,8,3,2,6,1,9]=>[9,1,6,2,3,8,5,4,7,10]
[9,7,4,5,10,3,2,6,8,1]=>[1,8,6,2,3,10,5,4,7,9]
[8,9,4,5,10,3,2,7,6,1]=>[1,6,7,2,3,10,5,4,9,8]
[10,6,4,7,8,3,5,2,1,9]=>[9,1,2,5,3,8,7,4,6,10]
[9,6,4,7,10,3,5,2,8,1]=>[1,8,2,5,3,10,7,4,6,9]
[8,6,4,9,10,3,5,7,2,1]=>[1,2,7,5,3,10,9,4,6,8]
[7,8,4,9,10,3,6,5,2,1]=>[1,2,5,6,3,10,9,4,8,7]
[10,5,6,7,8,4,3,2,1,9]=>[9,1,2,3,4,8,7,6,5,10]
[9,5,6,7,10,4,3,2,8,1]=>[1,8,2,3,4,10,7,6,5,9]
[8,5,6,9,10,4,3,7,2,1]=>[1,2,7,3,4,10,9,6,5,8]
[7,5,8,9,10,4,6,3,2,1]=>[1,2,3,6,4,10,9,8,5,7]
[2,10,4,5,6,7,9,1,3,8]=>[8,3,1,9,7,6,5,4,10,2]
[10,3,4,5,6,7,1,9,2,8]=>[8,2,9,1,7,6,5,4,3,10]
[9,4,1,5,6,7,8,2,10,3]=>[3,10,2,8,7,6,5,1,4,9]
[2,3,10,5,6,7,9,1,4,8]=>[8,4,1,9,7,6,5,10,3,2]
[9,10,4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4,10,9]
[7,3,4,5,6,1,10,9,2,8]=>[8,2,9,10,1,6,5,4,3,7]
[4,3,1,10,6,7,8,9,2,5]=>[5,2,9,8,7,6,10,1,3,4]
[9,10,1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1,10,9]
[8,4,1,5,6,7,2,9,10,3]=>[3,10,9,2,7,6,5,1,4,8]
[8,7,6,5,9,4,3,2,1,10]=>[10,1,2,3,4,9,5,6,7,8]
[7,6,5,1,9,2,8,3,10,4]=>[4,10,3,8,2,9,1,5,6,7]
[4,5,6,9,1,8,2,10,3,7]=>[7,3,10,2,8,1,9,6,5,4]
[9,6,5,1,8,2,7,3,10,4]=>[4,10,3,7,2,8,1,5,6,9]
[4,5,9,1,8,2,7,3,10,6]=>[6,10,3,7,2,8,1,9,5,4]
[4,5,8,1,7,6,2,10,3,9]=>[9,3,10,2,6,7,1,8,5,4]
[9,3,4,8,1,7,2,5,10,6]=>[6,10,5,2,7,1,8,4,3,9]
[8,3,4,7,6,1,10,2,5,9]=>[9,5,2,10,1,6,7,4,3,8]
[7,6,5,1,10,2,8,3,9,4]=>[4,9,3,8,2,10,1,5,6,7]
[4,5,6,10,1,8,2,9,3,7]=>[7,3,9,2,8,1,10,6,5,4]
[8,6,5,1,10,2,7,3,9,4]=>[4,9,3,7,2,10,1,5,6,8]
[4,5,8,1,10,2,7,3,9,6]=>[6,9,3,7,2,10,1,8,5,4]
[4,5,7,1,10,6,2,9,3,8]=>[8,3,9,2,6,10,1,7,5,4]
[8,3,4,10,1,7,2,5,9,6]=>[6,9,5,2,7,1,10,4,3,8]
[7,3,4,10,6,1,9,2,5,8]=>[8,5,2,9,1,6,10,4,3,7]
[10,6,5,1,9,2,7,3,8,4]=>[4,8,3,7,2,9,1,5,6,10]
[4,5,10,1,9,2,7,3,8,6]=>[6,8,3,7,2,9,1,10,5,4]
[4,5,10,1,9,6,2,8,3,7]=>[7,3,8,2,6,9,1,10,5,4]
[4,5,9,1,8,6,2,7,3,10]=>[10,3,7,2,6,8,1,9,5,4]
[10,3,4,9,1,7,2,5,8,6]=>[6,8,5,2,7,1,9,4,3,10]
[10,3,4,9,6,1,8,2,5,7]=>[7,5,2,8,1,6,9,4,3,10]
[9,3,4,8,6,1,7,2,5,10]=>[10,5,2,7,1,6,8,4,3,9]
[8,5,1,7,2,10,6,3,9,4]=>[4,9,3,6,10,2,7,1,5,8]
[4,8,1,7,2,10,6,3,9,5]=>[5,9,3,6,10,2,7,1,8,4]
[4,7,6,1,10,5,2,9,3,8]=>[8,3,9,2,5,10,1,6,7,4]
[8,3,7,1,10,6,2,4,9,5]=>[5,9,4,2,6,10,1,7,3,8]
[7,6,3,10,5,1,9,2,4,8]=>[8,4,2,9,1,5,10,3,6,7]
[10,5,1,7,2,9,6,3,8,4]=>[4,8,3,6,9,2,7,1,5,10]
[4,10,1,7,2,9,6,3,8,5]=>[5,8,3,6,9,2,7,1,10,4]
[4,10,6,1,9,5,2,8,3,7]=>[7,3,8,2,5,9,1,6,10,4]
[4,9,6,1,8,5,2,7,3,10]=>[10,3,7,2,5,8,1,6,9,4]
[10,3,7,1,9,6,2,4,8,5]=>[5,8,4,2,6,9,1,7,3,10]
[10,6,3,9,5,1,8,2,4,7]=>[7,4,2,8,1,5,9,3,6,10]
[9,6,3,8,5,1,7,2,4,10]=>[10,4,2,7,1,5,8,3,6,9]
[5,10,3,4,1,9,2,8,6,7]=>[7,6,8,2,9,1,4,3,10,5]
[5,9,3,4,1,8,2,7,6,10]=>[10,6,7,2,8,1,4,3,9,5]
[8,2,7,1,10,6,3,4,9,5]=>[5,9,4,3,6,10,1,7,2,8]
[7,6,2,10,5,1,9,3,4,8]=>[8,4,3,9,1,5,10,2,6,7]
[10,2,7,1,9,6,3,4,8,5]=>[5,8,4,3,6,9,1,7,2,10]
[10,6,2,9,5,1,8,3,4,7]=>[7,4,3,8,1,5,9,2,6,10]
[9,6,2,8,5,1,7,3,4,10]=>[10,4,3,7,1,5,8,2,6,9]
[5,10,2,4,1,9,3,8,6,7]=>[7,6,8,3,9,1,4,2,10,5]
[5,9,2,4,1,8,3,7,6,10]=>[10,6,7,3,8,1,4,2,9,5]
[10,9,8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8,9,10]
[10,8,7,6,4,2,1,3,5,9]=>[9,5,3,1,2,4,6,7,8,10]
[10,7,9,6,4,2,1,3,8,5]=>[5,8,3,1,2,4,6,9,7,10]
[10,9,8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8,9,10]
[10,8,6,5,4,2,1,3,7,9]=>[9,7,3,1,2,4,5,6,8,10]
[10,9,8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8,9,10]
[10,8,5,7,4,2,1,6,3,9]=>[9,3,6,1,2,4,7,5,8,10]
[10,5,9,7,4,2,1,6,8,3]=>[3,8,6,1,2,4,7,9,5,10]
[10,9,8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8,9,10]
[10,8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8,10]
[10,7,9,6,5,4,2,1,8,3]=>[3,8,1,2,4,5,6,9,7,10]
[10,6,9,8,5,7,2,1,4,3]=>[3,4,1,2,7,5,8,9,6,10]
[10,8,6,4,3,2,1,5,7,9]=>[9,7,5,1,2,3,4,6,8,10]
[10,9,8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8,9,10]
[10,8,7,6,4,3,2,1,5,9]=>[9,5,1,2,3,4,6,7,8,10]
[10,7,9,6,4,3,2,1,8,5]=>[5,8,1,2,3,4,6,9,7,10]
[10,8,6,3,5,2,4,1,7,9]=>[9,7,1,4,2,5,3,6,8,10]
[10,9,8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8,9,10]
[10,8,3,7,5,2,4,6,1,9]=>[9,1,6,4,2,5,7,3,8,10]
[10,3,9,7,5,2,4,6,8,1]=>[1,8,6,4,2,5,7,9,3,10]
[10,9,8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8,9,10]
[10,8,7,6,3,5,2,4,1,9]=>[9,1,4,2,5,3,6,7,8,10]
[10,7,9,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,9,7,10]
[10,9,3,8,6,5,2,7,4,1]=>[1,4,7,2,5,6,8,3,9,10]
[10,9,8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8,9,10]
[10,8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8,10]
[10,8,5,7,4,3,2,6,1,9]=>[9,1,6,2,3,4,7,5,8,10]
[10,5,9,7,4,3,2,6,8,1]=>[1,8,6,2,3,4,7,9,5,10]
[10,9,8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8,9,10]
[10,8,4,7,6,3,5,2,1,9]=>[9,1,2,5,3,6,7,4,8,10]
[10,4,9,7,6,3,5,2,8,1]=>[1,8,2,5,3,6,7,9,4,10]
[10,4,9,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,9,4,10]
[10,9,8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8,9,10]
[10,7,9,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,9,7,10]
[10,6,9,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,9,6,10]
[10,5,9,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,9,5,10]
[1,10,4,5,6,7,2,8,3,9]=>[9,3,8,2,7,6,5,4,10,1]
[1,10,7,2,8,3,9,4,5,6]=>[6,5,4,9,3,8,2,7,10,1]
[1,10,4,5,6,9,3,8,2,7]=>[7,2,8,3,9,6,5,4,10,1]
[1,10,6,9,3,8,2,7,4,5]=>[5,4,7,2,8,3,9,6,10,1]
[1,10,9,3,7,2,6,8,4,5]=>[5,4,8,6,2,7,3,9,10,1]
[1,10,6,9,5,4,3,8,2,7]=>[7,2,8,3,4,5,9,6,10,1]
[1,10,9,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,9,10,1]
[1,9,3,10,4,5,6,7,2,8]=>[8,2,7,6,5,4,10,3,9,1]
[1,9,3,10,7,2,8,4,5,6]=>[6,5,4,8,2,7,10,3,9,1]
[1,9,3,10,4,5,6,8,2,7]=>[7,2,8,6,5,4,10,3,9,1]
[1,9,3,10,6,8,2,7,4,5]=>[5,4,7,2,8,6,10,3,9,1]
[1,9,3,10,8,2,6,7,4,5]=>[5,4,7,6,2,8,10,3,9,1]
[1,9,5,4,3,10,6,8,2,7]=>[7,2,8,6,10,3,4,5,9,1]
[1,9,5,4,3,10,8,2,6,7]=>[7,6,2,8,10,3,4,5,9,1]
[1,8,2,7,3,9,4,5,6,10]=>[10,6,5,4,9,3,7,2,8,1]
[1,8,2,6,10,7,3,9,4,5]=>[5,4,9,3,7,10,6,2,8,1]
[1,7,2,6,9,3,8,4,5,10]=>[10,5,4,8,3,9,6,2,7,1]
[1,8,2,7,3,9,5,4,6,10]=>[10,6,4,5,9,3,7,2,8,1]
[1,8,2,6,10,7,3,9,5,4]=>[4,5,9,3,7,10,6,2,8,1]
[1,7,2,6,9,5,4,3,8,10]=>[10,8,3,4,5,9,6,2,7,1]
[1,9,3,10,4,5,7,2,6,8]=>[8,6,2,7,5,4,10,3,9,1]
[1,9,3,10,5,7,2,6,8,4]=>[4,8,6,2,7,5,10,3,9,1]
[1,9,3,10,8,2,5,6,7,4]=>[4,7,6,5,2,8,10,3,9,1]
[1,9,4,3,10,5,7,2,6,8]=>[8,6,2,7,5,10,3,4,9,1]
[1,9,4,3,10,8,2,5,6,7]=>[7,6,5,2,8,10,3,4,9,1]
[1,8,2,6,10,4,5,7,3,9]=>[9,3,7,5,4,10,6,2,8,1]
[1,8,2,6,10,5,7,3,9,4]=>[4,9,3,7,5,10,6,2,8,1]
[1,8,2,5,6,10,7,3,9,4]=>[4,9,3,7,10,6,5,2,8,1]
[1,7,2,5,6,9,3,8,4,10]=>[10,4,8,3,9,6,5,2,7,1]
[1,7,2,5,6,9,4,3,8,10]=>[10,8,3,4,9,6,5,2,7,1]
[1,8,2,4,3,9,6,10,7,5]=>[5,7,10,6,9,3,4,2,8,1]
[1,9,4,2,6,8,3,10,5,7]=>[7,5,10,3,8,6,2,4,9,1]
[1,9,4,2,5,6,7,3,10,8]=>[8,10,3,7,6,5,2,4,9,1]
[1,8,3,9,4,2,6,10,5,7]=>[7,5,10,6,2,4,9,3,8,1]
[1,8,3,9,4,2,5,6,10,7]=>[7,10,6,5,2,4,9,3,8,1]
[1,8,3,9,6,10,7,2,4,5]=>[5,4,2,7,10,6,9,3,8,1]
[10,2,1,8,4,3,6,5,7,9]=>[9,7,5,6,3,4,8,1,2,10]
[10,2,1,9,4,3,6,5,7,8]=>[8,7,5,6,3,4,9,1,2,10]
[10,2,1,8,4,3,7,5,6,9]=>[9,6,5,7,3,4,8,1,2,10]
[10,2,1,9,4,3,7,5,6,8]=>[8,6,5,7,3,4,9,1,2,10]
[10,2,1,9,4,3,8,5,6,7]=>[7,6,5,8,3,4,9,1,2,10]
[10,2,1,8,3,6,5,4,7,9]=>[9,7,4,5,6,3,8,1,2,10]
[10,2,1,9,3,6,5,4,7,8]=>[8,7,4,5,6,3,9,1,2,10]
[10,2,1,8,3,7,5,4,6,9]=>[9,6,4,5,7,3,8,1,2,10]
[10,2,1,9,3,7,5,4,6,8]=>[8,6,4,5,7,3,9,1,2,10]
[10,2,1,9,3,8,5,4,6,7]=>[7,6,4,5,8,3,9,1,2,10]
[10,2,1,8,3,7,4,6,5,9]=>[9,5,6,4,7,3,8,1,2,10]
[10,2,1,9,3,7,4,6,5,8]=>[8,5,6,4,7,3,9,1,2,10]
[10,2,1,9,3,8,4,6,5,7]=>[7,5,6,4,8,3,9,1,2,10]
[10,2,1,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,1,2,10]
[10,1,8,4,3,2,6,5,7,9]=>[9,7,5,6,2,3,4,8,1,10]
[10,1,9,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,9,1,10]
[10,1,8,4,3,2,7,5,6,9]=>[9,6,5,7,2,3,4,8,1,10]
[10,1,9,4,3,2,7,5,6,8]=>[8,6,5,7,2,3,4,9,1,10]
[10,1,9,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,9,1,10]
[10,1,8,3,2,6,5,4,7,9]=>[9,7,4,5,6,2,3,8,1,10]
[10,1,9,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,9,1,10]
[10,1,8,3,2,7,5,4,6,9]=>[9,6,4,5,7,2,3,8,1,10]
[10,1,9,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,9,1,10]
[10,1,9,3,2,8,5,4,6,7]=>[7,6,4,5,8,2,3,9,1,10]
[10,1,8,3,2,7,4,6,5,9]=>[9,5,6,4,7,2,3,8,1,10]
[10,1,9,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,9,1,10]
[10,1,9,3,2,8,4,6,5,7]=>[7,5,6,4,8,2,3,9,1,10]
[10,1,9,3,2,8,4,7,5,6]=>[6,5,7,4,8,2,3,9,1,10]
[10,1,8,2,6,5,4,3,7,9]=>[9,7,3,4,5,6,2,8,1,10]
[10,1,9,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,9,1,10]
[10,1,8,2,7,5,4,3,6,9]=>[9,6,3,4,5,7,2,8,1,10]
[10,1,9,2,7,5,4,3,6,8]=>[8,6,3,4,5,7,2,9,1,10]
[10,1,9,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,9,1,10]
[10,1,8,2,7,4,3,6,5,9]=>[9,5,6,3,4,7,2,8,1,10]
[10,1,9,2,7,4,3,6,5,8]=>[8,5,6,3,4,7,2,9,1,10]
[10,1,9,2,8,4,3,6,5,7]=>[7,5,6,3,4,8,2,9,1,10]
[10,1,9,2,8,4,3,7,5,6]=>[6,5,7,3,4,8,2,9,1,10]
[10,1,8,2,7,3,6,5,4,9]=>[9,4,5,6,3,7,2,8,1,10]
[10,1,9,2,7,3,6,5,4,8]=>[8,4,5,6,3,7,2,9,1,10]
[10,1,9,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,9,1,10]
[10,1,9,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,9,1,10]
[3,2,5,4,7,6,10,1,8,9]=>[9,8,1,10,6,7,4,5,2,3]
[3,2,5,4,8,9,7,6,1,10]=>[10,1,6,7,9,8,4,5,2,3]
[3,2,5,4,8,10,7,1,6,9]=>[9,6,1,7,10,8,4,5,2,3]
[3,2,5,4,9,10,1,6,7,8]=>[8,7,6,1,10,9,4,5,2,3]
[3,2,6,7,5,4,9,8,1,10]=>[10,1,8,9,4,5,7,6,2,3]
[3,2,6,7,5,4,10,1,8,9]=>[9,8,1,10,4,5,7,6,2,3]
[3,2,6,8,5,9,7,4,1,10]=>[10,1,4,7,9,5,8,6,2,3]
[3,2,6,8,5,10,7,1,4,9]=>[9,4,1,7,10,5,8,6,2,3]
[3,2,6,9,5,10,1,4,7,8]=>[8,7,4,1,10,5,9,6,2,3]
[3,2,7,8,9,6,5,4,1,10]=>[10,1,4,5,6,9,8,7,2,3]
[3,2,7,8,10,6,5,1,4,9]=>[9,4,1,5,6,10,8,7,2,3]
[3,2,7,9,10,6,1,4,5,8]=>[8,5,4,1,6,10,9,7,2,3]
[3,2,8,9,10,1,4,5,6,7]=>[7,6,5,4,1,10,9,8,2,3]
[4,5,3,2,7,6,9,8,1,10]=>[10,1,8,9,6,7,2,3,5,4]
[4,5,3,2,7,6,10,1,8,9]=>[9,8,1,10,6,7,2,3,5,4]
[4,5,3,2,8,9,7,6,1,10]=>[10,1,6,7,9,8,2,3,5,4]
[4,5,3,2,8,10,7,1,6,9]=>[9,6,1,7,10,8,2,3,5,4]
[4,5,3,2,9,10,1,6,7,8]=>[8,7,6,1,10,9,2,3,5,4]
[4,6,3,7,5,2,9,8,1,10]=>[10,1,8,9,2,5,7,3,6,4]
[4,6,3,7,5,2,10,1,8,9]=>[9,8,1,10,2,5,7,3,6,4]
[4,6,3,8,5,9,7,2,1,10]=>[10,1,2,7,9,5,8,3,6,4]
[4,6,3,8,5,10,7,1,2,9]=>[9,2,1,7,10,5,8,3,6,4]
[4,6,3,9,5,10,1,2,7,8]=>[8,7,2,1,10,5,9,3,6,4]
[4,7,3,8,9,6,5,2,1,10]=>[10,1,2,5,6,9,8,3,7,4]
[4,7,3,8,10,6,5,1,2,9]=>[9,2,1,5,6,10,8,3,7,4]
[4,7,3,9,10,6,1,2,5,8]=>[8,5,2,1,6,10,9,3,7,4]
[4,8,3,9,10,1,2,5,6,7]=>[7,6,5,2,1,10,9,3,8,4]
[5,6,7,4,3,2,9,8,1,10]=>[10,1,8,9,2,3,4,7,6,5]
[5,6,7,4,3,2,10,1,8,9]=>[9,8,1,10,2,3,4,7,6,5]
[5,6,8,4,3,9,7,2,1,10]=>[10,1,2,7,9,3,4,8,6,5]
[5,6,8,4,3,10,7,1,2,9]=>[9,2,1,7,10,3,4,8,6,5]
[5,6,9,4,3,10,1,2,7,8]=>[8,7,2,1,10,3,4,9,6,5]
[5,7,8,4,9,6,3,2,1,10]=>[10,1,2,3,6,9,4,8,7,5]
[5,7,8,4,10,6,3,1,2,9]=>[9,2,1,3,6,10,4,8,7,5]
[5,7,9,4,10,6,1,2,3,8]=>[8,3,2,1,6,10,4,9,7,5]
[5,8,9,4,10,1,2,3,6,7]=>[7,6,3,2,1,10,4,9,8,5]
[6,7,8,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,8,7,6]
[6,7,8,10,5,4,3,1,2,9]=>[9,2,1,3,4,5,10,8,7,6]
[6,7,9,10,5,4,1,2,3,8]=>[8,3,2,1,4,5,10,9,7,6]
[6,8,9,10,5,1,2,3,4,7]=>[7,4,3,2,1,5,10,9,8,6]
[2,3,4,5,8,9,10,1,6,7]=>[7,6,1,10,9,8,5,4,3,2]
[2,3,4,7,8,9,10,1,5,6]=>[6,5,1,10,9,8,7,4,3,2]
[2,3,6,7,8,9,10,1,4,5]=>[5,4,1,10,9,8,7,6,3,2]
[2,5,6,7,8,9,10,1,3,4]=>[4,3,1,10,9,8,7,6,5,2]
[1,2,4,8,5,10,9,7,3,6]=>[6,3,7,9,10,5,8,4,2,1]
[1,2,4,9,7,3,6,5,10,8]=>[8,10,5,6,3,7,9,4,2,1]
[1,2,4,8,5,10,9,6,3,7]=>[7,3,6,9,10,5,8,4,2,1]
[1,2,4,9,6,3,7,5,10,8]=>[8,10,5,7,3,6,9,4,2,1]
[1,2,4,9,6,3,8,5,10,7]=>[7,10,5,8,3,6,9,4,2,1]
[1,2,5,10,9,7,3,6,4,8]=>[8,4,6,3,7,9,10,5,2,1]
[1,2,5,10,8,4,9,7,3,6]=>[6,3,7,9,4,8,10,5,2,1]
[1,2,5,10,9,6,3,7,4,8]=>[8,4,7,3,6,9,10,5,2,1]
[1,2,5,10,8,4,9,6,3,7]=>[7,3,6,9,4,8,10,5,2,1]
[1,2,5,10,7,3,8,4,9,6]=>[6,9,4,8,3,7,10,5,2,1]
[1,2,6,3,7,4,8,5,10,9]=>[9,10,5,8,4,7,3,6,2,1]
[1,2,6,3,7,4,9,5,10,8]=>[8,10,5,9,4,7,3,6,2,1]
[1,2,6,3,8,4,9,5,10,7]=>[7,10,5,9,4,8,3,6,2,1]
[1,2,7,3,8,4,9,5,10,6]=>[6,10,5,9,4,8,3,7,2,1]
[1,3,6,2,4,8,5,10,9,7]=>[7,9,10,5,8,4,2,6,3,1]
[1,3,6,2,4,9,7,5,10,8]=>[8,10,5,7,9,4,2,6,3,1]
[1,3,7,2,4,8,5,10,9,6]=>[6,9,10,5,8,4,2,7,3,1]
[1,3,7,2,4,9,6,5,10,8]=>[8,10,5,6,9,4,2,7,3,1]
[1,3,8,5,10,7,2,4,9,6]=>[6,9,4,2,7,10,5,8,3,1]
[1,3,6,2,5,10,9,7,4,8]=>[8,4,7,9,10,5,2,6,3,1]
[1,3,6,2,5,10,8,4,9,7]=>[7,9,4,8,10,5,2,6,3,1]
[1,3,7,2,5,10,9,6,4,8]=>[8,4,6,9,10,5,2,7,3,1]
[1,3,7,2,5,10,8,4,9,6]=>[6,9,4,8,10,5,2,7,3,1]
[1,3,8,4,9,6,2,5,10,7]=>[7,10,5,2,6,9,4,8,3,1]
[1,3,7,2,6,4,8,5,10,9]=>[9,10,5,8,4,6,2,7,3,1]
[1,3,7,2,6,4,9,5,10,8]=>[8,10,5,9,4,6,2,7,3,1]
[1,3,8,4,9,5,10,7,2,6]=>[6,2,7,10,5,9,4,8,3,1]
[1,3,8,4,9,5,10,6,2,7]=>[7,2,6,10,5,9,4,8,3,1]
[1,4,8,3,6,2,5,10,9,7]=>[7,9,10,5,2,6,3,8,4,1]
[1,4,9,7,2,5,10,8,3,6]=>[6,3,8,10,5,2,7,9,4,1]
[1,4,8,3,7,2,5,10,9,6]=>[6,9,10,5,2,7,3,8,4,1]
[1,4,9,6,2,5,10,8,3,7]=>[7,3,8,10,5,2,6,9,4,1]
[1,4,9,6,2,5,10,7,3,8]=>[8,3,7,10,5,2,6,9,4,1]
[1,4,8,3,7,2,6,5,10,9]=>[9,10,5,6,2,7,3,8,4,1]
[1,4,9,5,10,8,3,7,2,6]=>[6,2,7,3,8,10,5,9,4,1]
[1,4,9,5,10,7,2,6,3,8]=>[8,3,6,2,7,10,5,9,4,1]
[1,4,9,5,10,6,2,7,3,8]=>[8,3,7,2,6,10,5,9,4,1]
[1,5,10,9,4,8,3,7,2,6]=>[6,2,7,3,8,4,9,10,5,1]
[1,5,10,8,3,7,2,6,4,9]=>[9,4,6,2,7,3,8,10,5,1]
[1,5,10,7,2,6,3,8,4,9]=>[9,4,8,3,6,2,7,10,5,1]
[1,5,10,6,2,7,3,8,4,9]=>[9,4,8,3,7,2,6,10,5,1]
[4,1,2,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,2,1,4]
[8,1,2,3,4,5,6,9,7,10]=>[10,7,9,6,5,4,3,2,1,8]
[7,1,2,3,4,5,9,6,10,8]=>[8,10,6,9,5,4,3,2,1,7]
[5,1,2,3,7,4,9,6,10,8]=>[8,10,6,9,4,7,3,2,1,5]
[6,1,2,3,4,7,9,5,10,8]=>[8,10,5,9,7,4,3,2,1,6]
[4,1,2,5,7,3,9,6,10,8]=>[8,10,6,9,3,7,5,2,1,4]
[2,3,5,1,7,4,9,6,10,8]=>[8,10,6,9,4,7,1,5,3,2]
[3,10,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,10,3]
[3,10,2,9,8,1,7,6,5,4]=>[4,5,6,7,1,8,9,2,10,3]
[3,10,2,9,8,7,6,1,5,4]=>[4,5,1,6,7,8,9,2,10,3]
[3,10,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,10,3]
[4,10,9,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,9,10,4]
[4,10,9,3,2,8,7,1,6,5]=>[5,6,1,7,8,2,3,9,10,4]
[4,10,9,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,9,10,4]
[4,10,9,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,9,10,4]
[4,10,9,3,8,7,2,6,5,1]=>[1,5,6,2,7,8,3,9,10,4]
[4,10,9,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,9,10,4]
[5,10,9,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,9,10,5]
[5,10,9,8,4,3,2,7,6,1]=>[1,6,7,2,3,4,8,9,10,5]
[5,10,9,8,4,3,7,6,2,1]=>[1,2,6,7,3,4,8,9,10,5]
[5,10,9,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,9,10,5]
[3,4,2,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,2,4,3]
[3,4,5,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,5,4,3]
[3,4,5,6,7,2,8,9,10,1]=>[1,10,9,8,2,7,6,5,4,3]
[3,4,5,6,7,8,2,9,10,1]=>[1,10,9,2,8,7,6,5,4,3]
[3,4,5,7,1,2,8,9,10,6]=>[6,10,9,8,2,1,7,5,4,3]
[3,4,5,6,7,1,8,2,10,9]=>[9,10,2,8,1,7,6,5,4,3]
[1,4,5,6,10,7,8,2,9,3]=>[3,9,2,8,7,10,6,5,4,1]
[2,4,5,6,10,7,1,8,3,9]=>[9,3,8,1,7,10,6,5,4,2]
[3,4,5,6,8,7,1,10,2,9]=>[9,2,10,1,7,8,6,5,4,3]
[3,5,6,7,10,8,1,9,2,4]=>[4,2,9,1,8,10,7,6,5,3]
[1,4,5,9,6,7,2,8,10,3]=>[3,10,8,2,7,6,9,5,4,1]
[10,2,3,4,5,6,7,1,9,8]=>[8,9,1,7,6,5,4,3,2,10]
[10,2,3,4,5,6,1,8,9,7]=>[7,9,8,1,6,5,4,3,2,10]
[10,2,3,4,5,1,7,8,9,6]=>[6,9,8,7,1,5,4,3,2,10]
[10,2,3,4,1,6,7,8,9,5]=>[5,9,8,7,6,1,4,3,2,10]
[10,2,3,1,5,6,7,8,9,4]=>[4,9,8,7,6,5,1,3,2,10]
[10,2,1,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,1,2,10]
[1,9,2,3,4,5,6,10,7,8]=>[8,7,10,6,5,4,3,2,9,1]
[8,1,2,3,4,5,6,10,7,9]=>[9,7,10,6,5,4,3,2,1,8]
[3,1,10,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,10,1,3]
[7,9,10,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,10,9,7]
[2,3,4,5,6,7,1,9,8,10]=>[10,8,9,1,7,6,5,4,3,2]
[2,3,4,5,1,7,6,9,8,10]=>[10,8,9,6,7,1,5,4,3,2]
[3,4,5,6,7,8,10,1,9,2]=>[2,9,1,10,8,7,6,5,4,3]
[9,8,2,3,4,5,6,7,1,10]=>[10,1,7,6,5,4,3,2,8,9]
[1,10,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,10,1]
[7,8,9,6,1,2,3,4,10,5]=>[5,10,4,3,2,1,6,9,8,7]
[2,8,9,10,7,1,3,4,5,6]=>[6,5,4,3,1,7,10,9,8,2]
[8,9,7,5,6,1,2,3,10,4]=>[4,10,3,2,1,6,5,7,9,8]
[2,9,10,8,6,7,1,3,4,5]=>[5,4,3,1,7,6,8,10,9,2]
[7,8,9,5,1,2,3,4,10,6]=>[6,10,4,3,2,1,5,9,8,7]
[7,8,9,1,6,2,3,4,10,5]=>[5,10,4,3,2,6,1,9,8,7]
[2,8,9,10,6,1,3,4,5,7]=>[7,5,4,3,1,6,10,9,8,2]
[2,8,9,10,1,7,3,4,5,6]=>[6,5,4,3,7,1,10,9,8,2]
[4,2,3,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,3,2,4]
[8,9,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,9,8]
[9,10,6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6,10,9]
[8,9,6,7,5,10,3,4,1,2]=>[2,1,4,3,10,5,7,6,9,8]
[7,8,6,9,5,10,3,4,1,2]=>[2,1,4,3,10,5,9,6,8,7]
[9,10,7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7,10,9]
[8,9,7,10,4,5,3,6,1,2]=>[2,1,6,3,5,4,10,7,9,8]
[9,10,6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6,10,9]
[9,10,5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5,10,9]
[8,9,6,7,4,5,3,10,1,2]=>[2,1,10,3,5,4,7,6,9,8]
[7,8,6,9,4,5,3,10,1,2]=>[2,1,10,3,5,4,9,6,8,7]
[8,9,5,6,4,7,3,10,1,2]=>[2,1,10,3,7,4,6,5,9,8]
[7,8,5,6,4,9,3,10,1,2]=>[2,1,10,3,9,4,6,5,8,7]
[6,7,5,8,4,9,3,10,1,2]=>[2,1,10,3,9,4,8,5,7,6]
[9,10,7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7,10,9]
[8,9,7,10,5,6,2,3,1,4]=>[4,1,3,2,6,5,10,7,9,8]
[9,10,6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6,10,9]
[8,9,6,7,5,10,2,3,1,4]=>[4,1,3,2,10,5,7,6,9,8]
[7,8,6,9,5,10,2,3,1,4]=>[4,1,3,2,10,5,9,6,8,7]
[9,10,7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7,10,9]
[8,9,7,10,4,5,2,3,1,6]=>[6,1,3,2,5,4,10,7,9,8]
[9,10,7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7,10,9]
[8,9,7,10,3,4,2,5,1,6]=>[6,1,5,2,4,3,10,7,9,8]
[9,10,6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6,10,9]
[9,10,5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5,10,9]
[9,10,6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6,10,9]
[9,10,5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5,10,9]
[9,10,4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4,10,9]
[8,9,6,7,4,5,2,3,1,10]=>[10,1,3,2,5,4,7,6,9,8]
[7,8,6,9,4,5,2,3,1,10]=>[10,1,3,2,5,4,9,6,8,7]
[8,9,5,6,4,7,2,3,1,10]=>[10,1,3,2,7,4,6,5,9,8]
[7,8,5,6,4,9,2,3,1,10]=>[10,1,3,2,9,4,6,5,8,7]
[6,7,5,8,4,9,2,3,1,10]=>[10,1,3,2,9,4,8,5,7,6]
[8,9,6,7,3,4,2,5,1,10]=>[10,1,5,2,4,3,7,6,9,8]
[7,8,6,9,3,4,2,5,1,10]=>[10,1,5,2,4,3,9,6,8,7]
[8,9,5,6,3,4,2,7,1,10]=>[10,1,7,2,4,3,6,5,9,8]
[8,9,4,5,3,6,2,7,1,10]=>[10,1,7,2,6,3,5,4,9,8]
[7,8,5,6,3,4,2,9,1,10]=>[10,1,9,2,4,3,6,5,8,7]
[6,7,5,8,3,4,2,9,1,10]=>[10,1,9,2,4,3,8,5,7,6]
[7,8,4,5,3,6,2,9,1,10]=>[10,1,9,2,6,3,5,4,8,7]
[6,7,4,5,3,8,2,9,1,10]=>[10,1,9,2,8,3,5,4,7,6]
[10,8,4,5,6,7,1,9,2,3]=>[3,2,9,1,7,6,5,4,8,10]
[2,8,4,5,6,7,1,10,3,9]=>[9,3,10,1,7,6,5,4,8,2]
[7,3,4,5,6,1,8,10,2,9]=>[9,2,10,8,1,6,5,4,3,7]
[10,7,4,5,6,1,8,9,2,3]=>[3,2,9,8,1,6,5,4,7,10]
[9,6,10,1,3,7,8,2,4,5]=>[5,4,2,8,7,3,1,10,6,9]
[1,2,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,2,1]
[1,2,3,4,5,6,8,7,9,10]=>[10,9,7,8,6,5,4,3,2,1]
[10,7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7,10]
[10,1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1,10]
[10,1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1,10]
[10,1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1,10]
[10,1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1,10]
[3,4,5,6,7,9,10,1,8,2]=>[2,8,1,10,9,7,6,5,4,3]
[3,4,5,6,8,9,10,1,7,2]=>[2,7,1,10,9,8,6,5,4,3]
[3,4,5,7,8,9,10,1,6,2]=>[2,6,1,10,9,8,7,5,4,3]
[3,4,6,7,8,9,10,1,5,2]=>[2,5,1,10,9,8,7,6,4,3]
[3,5,6,7,8,9,10,1,4,2]=>[2,4,1,10,9,8,7,6,5,3]
[4,5,6,7,8,9,10,1,3,2]=>[2,3,1,10,9,8,7,6,5,4]
[2,3,4,5,8,6,9,7,10,1]=>[1,10,7,9,6,8,5,4,3,2]
[3,4,5,6,9,7,10,2,8,1]=>[1,8,2,10,7,9,6,5,4,3]
[3,4,5,8,6,9,1,7,10,2]=>[2,10,7,1,9,6,8,5,4,3]
[2,3,4,5,9,6,1,10,7,8]=>[8,7,10,1,6,9,5,4,3,2]
[4,5,6,9,1,7,10,8,2,3]=>[3,2,8,10,7,1,9,6,5,4]
[3,4,5,6,10,8,2,7,1,9]=>[9,1,7,2,8,10,6,5,4,3]
[4,6,7,5,8,3,9,2,10,1]=>[1,10,2,9,3,8,5,7,6,4]
[6,4,3,7,8,5,9,2,10,1]=>[1,10,2,9,5,8,7,3,4,6]
[6,4,7,3,2,8,9,5,10,1]=>[1,10,5,9,8,2,3,7,4,6]
[6,4,7,3,8,2,1,9,10,5]=>[5,10,9,1,2,8,3,7,4,6]
[6,4,7,3,8,2,9,1,5,10]=>[10,5,1,9,2,8,3,7,4,6]
[6,4,7,3,8,2,5,9,1,10]=>[10,1,9,5,2,8,3,7,4,6]
[6,4,7,3,5,8,2,9,1,10]=>[10,1,9,2,8,5,3,7,4,6]
[6,4,5,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,5,4,6]
[7,5,1,3,2,6,4,8,9,10]=>[10,9,8,4,6,2,3,1,5,7]
[9,6,1,3,4,2,7,8,5,10]=>[10,5,8,7,2,4,3,1,6,9]
[8,3,6,1,4,2,7,5,9,10]=>[10,9,5,7,2,4,1,6,3,8]
[10,1,8,3,2,5,7,4,9,6]=>[6,9,4,7,5,2,3,8,1,10]
[10,3,7,1,4,5,2,8,9,6]=>[6,9,8,2,5,4,1,7,3,10]
[9,3,4,7,1,5,2,8,6,10]=>[10,6,8,2,5,1,7,4,3,9]
[7,10,1,3,8,2,6,5,9,4]=>[4,9,5,6,2,8,3,1,10,7]
[10,9,5,1,8,2,4,3,6,7]=>[7,6,3,4,2,8,1,5,9,10]
[10,3,4,5,8,1,6,2,9,7]=>[7,9,2,6,1,8,5,4,3,10]
[9,8,7,5,6,4,3,2,10,1]=>[1,10,2,3,4,6,5,7,8,9]
[2,3,4,5,6,9,10,8,7,1]=>[1,7,8,10,9,6,5,4,3,2]
[2,3,4,5,8,9,10,7,6,1]=>[1,6,7,10,9,8,5,4,3,2]
[2,3,4,7,8,9,10,6,5,1]=>[1,5,6,10,9,8,7,4,3,2]
[2,3,6,7,8,9,10,5,4,1]=>[1,4,5,10,9,8,7,6,3,2]
[2,5,6,7,8,9,10,4,3,1]=>[1,3,4,10,9,8,7,6,5,2]
[9,10,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,10,9]
[7,8,2,4,6,10,1,3,5,9]=>[9,5,3,1,10,6,4,2,8,7]
[9,7,10,2,4,6,8,1,3,5]=>[5,3,1,8,6,4,2,10,7,9]
[8,9,10,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,10,9,8]
[5,6,2,4,8,10,1,3,7,9]=>[9,7,3,1,10,8,4,2,6,5]
[5,6,9,10,2,4,8,1,3,7]=>[7,3,1,8,4,2,10,9,6,5]
[7,5,8,2,4,6,10,1,3,9]=>[9,3,1,10,6,4,2,8,5,7]
[7,9,5,10,2,4,6,8,1,3]=>[3,1,8,6,4,2,10,5,9,7]
[5,8,9,10,7,2,4,6,1,3]=>[3,1,6,4,2,7,10,9,8,5]
[6,7,8,5,2,4,10,1,3,9]=>[9,3,1,10,4,2,5,8,7,6]
[9,6,7,5,10,2,4,8,1,3]=>[3,1,8,4,2,10,5,7,6,9]
[8,9,6,10,5,7,2,4,1,3]=>[3,1,4,2,7,5,10,6,9,8]
[7,8,9,10,6,5,2,4,1,3]=>[3,1,4,2,5,6,10,9,8,7]
[3,4,2,6,8,10,1,5,7,9]=>[9,7,5,1,10,8,6,2,4,3]
[3,4,9,10,2,6,8,1,5,7]=>[7,5,1,8,6,2,10,9,4,3]
[3,4,7,8,2,6,10,1,5,9]=>[9,5,1,10,6,2,8,7,4,3]
[9,3,4,7,10,2,6,8,1,5]=>[5,1,8,6,2,10,7,4,3,9]
[8,9,10,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,10,9,8]
[5,3,6,2,4,8,10,1,7,9]=>[9,7,1,10,8,4,2,6,3,5]
[5,3,6,9,10,2,4,8,1,7]=>[7,1,8,4,2,10,9,6,3,5]
[5,7,3,8,2,4,6,10,1,9]=>[9,1,10,6,4,2,8,3,7,5]
[5,7,9,3,10,2,4,6,8,1]=>[1,8,6,4,2,10,3,9,7,5]
[8,5,9,10,3,7,2,4,6,1]=>[1,6,4,2,7,3,10,9,5,8]
[3,6,7,8,5,2,4,10,1,9]=>[9,1,10,4,2,5,8,7,6,3]
[9,3,6,7,5,10,2,4,8,1]=>[1,8,4,2,10,5,7,6,3,9]
[6,8,3,9,10,5,7,2,4,1]=>[1,4,2,7,5,10,9,3,8,6]
[7,8,9,10,3,6,5,2,4,1]=>[1,4,2,5,6,3,10,9,8,7]
[4,5,6,3,2,8,10,1,7,9]=>[9,7,1,10,8,2,3,6,5,4]
[4,5,6,3,9,10,2,8,1,7]=>[7,1,8,2,10,9,3,6,5,4]
[7,4,5,3,8,2,6,10,1,9]=>[9,1,10,6,2,8,3,5,4,7]
[7,4,5,9,3,10,2,6,8,1]=>[1,8,6,2,10,3,9,5,4,7]
[4,8,5,9,10,3,7,2,6,1]=>[1,6,2,7,3,10,9,5,8,4]
[6,7,4,8,3,5,2,10,1,9]=>[9,1,10,2,5,3,8,4,7,6]
[6,7,9,4,3,5,10,2,8,1]=>[1,8,2,10,5,3,4,9,7,6]
[8,6,9,4,10,3,5,7,2,1]=>[1,2,7,5,3,10,4,9,6,8]
[7,4,8,9,10,6,3,5,2,1]=>[1,2,5,3,6,10,9,8,4,7]
[5,6,7,8,4,3,2,10,1,9]=>[9,1,10,2,3,4,8,7,6,5]
[9,5,6,7,4,3,10,2,8,1]=>[1,8,2,10,3,4,7,6,5,9]
[8,9,5,6,4,10,3,7,2,1]=>[1,2,7,3,10,4,6,5,9,8]
[7,8,9,5,10,4,6,3,2,1]=>[1,2,3,6,4,10,5,9,8,7]
[1,2,4,5,6,8,10,9,3,7]=>[7,3,9,10,8,6,5,4,2,1]
[1,2,3,5,7,8,10,6,9,4]=>[4,9,6,10,8,7,5,3,2,1]
[1,2,4,5,7,8,10,3,9,6]=>[6,9,3,10,8,7,5,4,2,1]
[1,2,4,6,7,5,10,8,3,9]=>[9,3,8,10,5,7,6,4,2,1]
[1,3,4,2,7,8,10,5,9,6]=>[6,9,5,10,8,7,2,4,3,1]
[1,3,4,6,7,2,10,8,5,9]=>[9,5,8,10,2,7,6,4,3,1]
[1,2,3,5,6,9,8,10,7,4]=>[4,7,10,8,9,6,5,3,2,1]
[1,2,4,5,6,9,8,10,3,7]=>[7,3,10,8,9,6,5,4,2,1]
[1,2,3,5,7,9,6,10,8,4]=>[4,8,10,6,9,7,5,3,2,1]
[1,2,4,5,7,9,3,10,8,6]=>[6,8,10,3,9,7,5,4,2,1]
[1,2,4,6,5,9,7,10,3,8]=>[8,3,10,7,9,5,6,4,2,1]
[1,3,4,2,7,9,5,10,8,6]=>[6,8,10,5,9,7,2,4,3,1]
[1,3,4,6,2,9,7,10,5,8]=>[8,5,10,7,9,2,6,4,3,1]
[1,2,3,5,8,7,9,6,10,4]=>[4,10,6,9,7,8,5,3,2,1]
[1,2,4,5,8,7,9,3,10,6]=>[6,10,3,9,7,8,5,4,2,1]
[1,2,4,6,8,5,9,3,10,7]=>[7,10,3,9,5,8,6,4,2,1]
[1,2,4,7,6,8,5,9,3,10]=>[10,3,9,5,8,6,7,4,2,1]
[1,3,4,2,8,7,9,5,10,6]=>[6,10,5,9,7,8,2,4,3,1]
[1,3,4,6,8,2,9,5,10,7]=>[7,10,5,9,2,8,6,4,3,1]
[1,3,4,7,6,8,2,9,5,10]=>[10,5,9,2,8,6,7,4,3,1]
[1,2,3,6,5,9,7,10,8,4]=>[4,8,10,7,9,5,6,3,2,1]
[1,2,4,6,3,9,7,10,8,5]=>[5,8,10,7,9,3,6,4,2,1]
[1,2,5,4,6,9,7,10,3,8]=>[8,3,10,7,9,6,4,5,2,1]
[1,3,2,6,4,9,7,10,8,5]=>[5,8,10,7,9,4,6,2,3,1]
[1,3,5,2,6,9,7,10,4,8]=>[8,4,10,7,9,6,2,5,3,1]
[1,2,3,6,8,5,9,7,10,4]=>[4,10,7,9,5,8,6,3,2,1]
[1,2,4,6,8,3,9,7,10,5]=>[5,10,7,9,3,8,6,4,2,1]
[1,2,5,4,8,6,9,3,10,7]=>[7,10,3,9,6,8,4,5,2,1]
[1,2,5,7,4,8,6,9,3,10]=>[10,3,9,6,8,4,7,5,2,1]
[1,3,2,6,8,4,9,7,10,5]=>[5,10,7,9,4,8,6,2,3,1]
[1,3,5,2,8,6,9,4,10,7]=>[7,10,4,9,6,8,2,5,3,1]
[1,3,5,7,2,8,6,9,4,10]=>[10,4,9,6,8,2,7,5,3,1]
[1,4,3,5,8,2,9,6,10,7]=>[7,10,6,9,2,8,5,3,4,1]
[1,4,3,7,5,8,2,9,6,10]=>[10,6,9,2,8,5,7,3,4,1]
[2,1,3,6,4,9,7,10,8,5]=>[5,8,10,7,9,4,6,3,1,2]
[2,1,5,3,6,9,7,10,4,8]=>[8,4,10,7,9,6,3,5,1,2]
[2,1,3,6,8,4,9,7,10,5]=>[5,10,7,9,4,8,6,3,1,2]
[2,1,5,3,8,6,9,4,10,7]=>[7,10,4,9,6,8,3,5,1,2]
[2,1,5,7,3,8,6,9,4,10]=>[10,4,9,6,8,3,7,5,1,2]
[2,4,1,5,8,3,9,6,10,7]=>[7,10,6,9,3,8,5,1,4,2]
[2,4,1,7,5,8,3,9,6,10]=>[10,6,9,3,8,5,7,1,4,2]
[5,6,1,2,3,7,8,9,10,4]=>[4,10,9,8,7,3,2,1,6,5]
[2,5,1,3,6,7,8,9,10,4]=>[4,10,9,8,7,6,3,1,5,2]
[3,2,1,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,1,2,3]
[6,7,8,1,2,3,4,9,10,5]=>[5,10,9,4,3,2,1,8,7,6]
[2,6,7,1,3,4,8,9,10,5]=>[5,10,9,8,4,3,1,7,6,2]
[6,3,4,1,2,7,8,9,10,5]=>[5,10,9,8,7,2,1,4,3,6]
[3,2,6,1,4,7,8,9,10,5]=>[5,10,9,8,7,4,1,6,2,3]
[4,3,2,1,6,7,8,9,10,5]=>[5,10,9,8,7,6,1,2,3,4]
[2,7,8,9,1,3,4,5,10,6]=>[6,10,5,4,3,1,9,8,7,2]
[7,3,4,8,1,2,5,9,10,6]=>[6,10,9,5,2,1,8,4,3,7]
[3,2,7,8,1,4,5,9,10,6]=>[6,10,9,5,4,1,8,7,2,3]
[4,7,2,5,1,3,8,9,10,6]=>[6,10,9,8,3,1,5,2,7,4]
[4,3,2,7,1,5,8,9,10,6]=>[6,10,9,8,5,1,7,2,3,4]
[5,4,3,2,1,7,8,9,10,6]=>[6,10,9,8,7,1,2,3,4,5]
[8,3,4,9,10,1,2,5,6,7]=>[7,6,5,2,1,10,9,4,3,8]
[8,9,4,5,6,1,2,3,10,7]=>[7,10,3,2,1,6,5,4,9,8]
[4,3,2,8,9,1,5,6,10,7]=>[7,10,6,5,1,9,8,2,3,4]
[8,5,6,3,4,1,2,9,10,7]=>[7,10,9,2,1,4,3,6,5,8]
[5,3,8,2,6,1,4,9,10,7]=>[7,10,9,4,1,6,2,8,3,5]
[5,4,3,2,8,1,6,9,10,7]=>[7,10,9,6,1,8,2,3,4,5]
[6,5,4,3,2,1,8,9,10,7]=>[7,10,9,8,1,2,3,4,5,6]
[5,9,10,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,10,9,5]
[9,5,6,3,4,10,1,2,7,8]=>[8,7,2,1,10,4,3,6,5,9]
[5,3,9,2,6,10,1,4,7,8]=>[8,7,4,1,10,6,2,9,3,5]
[5,4,3,2,9,10,1,6,7,8]=>[8,7,6,1,10,9,2,3,4,5]
[6,9,4,7,2,5,1,3,10,8]=>[8,10,3,1,5,2,7,4,9,6]
[6,4,3,9,2,7,1,5,10,8]=>[8,10,5,1,7,2,9,3,4,6]
[6,5,4,3,2,9,1,7,10,8]=>[8,10,7,1,9,2,3,4,5,6]
[7,6,5,4,3,2,1,9,10,8]=>[8,10,9,1,2,3,4,5,6,7]
[10,7,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,7,10]
[7,5,10,3,8,2,6,1,4,9]=>[9,4,1,6,2,8,3,10,5,7]
[7,5,4,3,10,2,8,1,6,9]=>[9,6,1,8,2,10,3,4,5,7]
[7,6,5,4,3,2,10,1,8,9]=>[9,8,1,10,2,3,4,5,6,7]
[2,1,8,7,4,3,6,5,10,9]=>[9,10,5,6,3,4,7,8,1,2]
[2,1,6,5,8,7,4,3,10,9]=>[9,10,3,4,7,8,5,6,1,2]
[2,1,4,3,6,5,7,9,10,8]=>[8,10,9,7,5,6,3,4,1,2]
[2,1,4,3,5,7,8,6,10,9]=>[9,10,6,8,7,5,3,4,1,2]
[2,1,4,3,5,7,6,9,10,8]=>[8,10,9,6,7,5,3,4,1,2]
[2,1,4,3,5,6,8,9,10,7]=>[7,10,9,8,6,5,3,4,1,2]
[2,1,3,5,6,4,8,7,10,9]=>[9,10,7,8,4,6,5,3,1,2]
[2,1,3,5,6,4,7,9,10,8]=>[8,10,9,7,4,6,5,3,1,2]
[2,1,3,5,4,7,8,6,10,9]=>[9,10,6,8,7,4,5,3,1,2]
[2,1,3,5,4,7,6,9,10,8]=>[8,10,9,6,7,4,5,3,1,2]
[2,1,3,5,4,6,8,9,10,7]=>[7,10,9,8,6,4,5,3,1,2]
[2,1,3,4,6,7,8,5,10,9]=>[9,10,5,8,7,6,4,3,1,2]
[2,1,3,4,6,7,5,9,10,8]=>[8,10,9,5,7,6,4,3,1,2]
[2,1,3,4,6,5,8,9,10,7]=>[7,10,9,8,5,6,4,3,1,2]
[2,1,3,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,3,1,2]
[1,3,4,2,6,5,7,9,10,8]=>[8,10,9,7,5,6,2,4,3,1]
[1,3,4,2,5,7,8,6,10,9]=>[9,10,6,8,7,5,2,4,3,1]
[1,3,4,2,5,7,6,9,10,8]=>[8,10,9,6,7,5,2,4,3,1]
[1,3,4,2,5,6,8,9,10,7]=>[7,10,9,8,6,5,2,4,3,1]
[1,3,2,5,6,4,8,7,10,9]=>[9,10,7,8,4,6,5,2,3,1]
[1,3,2,5,6,4,7,9,10,8]=>[8,10,9,7,4,6,5,2,3,1]
[1,3,2,5,4,7,8,6,10,9]=>[9,10,6,8,7,4,5,2,3,1]
[1,3,2,5,4,7,6,9,10,8]=>[8,10,9,6,7,4,5,2,3,1]
[1,3,2,5,4,6,8,9,10,7]=>[7,10,9,8,6,4,5,2,3,1]
[1,3,2,4,6,7,8,5,10,9]=>[9,10,5,8,7,6,4,2,3,1]
[1,3,2,4,6,7,5,9,10,8]=>[8,10,9,5,7,6,4,2,3,1]
[1,3,2,4,6,5,8,9,10,7]=>[7,10,9,8,5,6,4,2,3,1]
[1,3,2,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,2,3,1]
[1,2,4,5,6,3,8,7,10,9]=>[9,10,7,8,3,6,5,4,2,1]
[1,2,4,5,6,3,7,9,10,8]=>[8,10,9,7,3,6,5,4,2,1]
[1,2,4,5,3,7,8,6,10,9]=>[9,10,6,8,7,3,5,4,2,1]
[1,2,4,5,3,7,6,9,10,8]=>[8,10,9,6,7,3,5,4,2,1]
[1,2,4,5,3,6,8,9,10,7]=>[7,10,9,8,6,3,5,4,2,1]
[1,2,4,3,6,7,8,5,10,9]=>[9,10,5,8,7,6,3,4,2,1]
[1,2,4,3,6,7,5,9,10,8]=>[8,10,9,5,7,6,3,4,2,1]
[1,2,4,3,6,5,8,9,10,7]=>[7,10,9,8,5,6,3,4,2,1]
[1,2,4,3,5,7,8,9,10,6]=>[6,10,9,8,7,5,3,4,2,1]
[1,2,3,5,6,7,8,4,10,9]=>[9,10,4,8,7,6,5,3,2,1]
[1,2,3,5,6,7,4,9,10,8]=>[8,10,9,4,7,6,5,3,2,1]
[1,2,3,5,6,4,8,9,10,7]=>[7,10,9,8,4,6,5,3,2,1]
[1,2,3,5,4,7,8,9,10,6]=>[6,10,9,8,7,4,5,3,2,1]
[2,3,4,5,6,10,8,9,7,1]=>[1,7,9,8,10,6,5,4,3,2]
[2,3,4,5,10,7,8,9,6,1]=>[1,6,9,8,7,10,5,4,3,2]
[2,3,4,10,6,7,8,9,5,1]=>[1,5,9,8,7,6,10,4,3,2]
[2,3,10,5,6,7,8,9,4,1]=>[1,4,9,8,7,6,5,10,3,2]
[2,10,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,10,2]
[10,3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3,10]
[6,5,7,4,8,3,10,1,9,2]=>[2,9,1,10,3,8,4,7,5,6]
[6,5,7,4,10,1,9,2,8,3]=>[3,8,2,9,1,10,4,7,5,6]
[6,5,10,1,9,2,8,3,7,4]=>[4,7,3,8,2,9,1,10,5,6]
[5,10,1,9,2,8,3,7,4,6]=>[6,4,7,3,8,2,9,1,10,5]
[5,6,4,10,1,9,2,8,3,7]=>[7,3,8,2,9,1,10,4,6,5]
[5,6,4,7,3,10,1,9,2,8]=>[8,2,9,1,10,3,7,4,6,5]
[5,6,4,7,3,8,2,10,1,9]=>[9,1,10,2,8,3,7,4,6,5]
[2,10,1,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,1,10,2]
[2,9,1,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,1,9,2]
[10,3,1,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,1,3,10]
[3,1,10,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,10,1,3]
[9,3,1,2,4,5,6,7,10,8]=>[8,10,7,6,5,4,2,1,3,9]
[3,1,9,2,4,5,6,7,10,8]=>[8,10,7,6,5,4,2,9,1,3]
[10,9,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,9,10]
[10,9,2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2,9,10]
[10,4,5,6,7,8,9,2,1,3]=>[3,1,2,9,8,7,6,5,4,10]
[10,3,4,5,6,7,8,2,1,9]=>[9,1,2,8,7,6,5,4,3,10]
[7,9,8,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,8,9,7]
[7,9,10,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,10,9,7]
[1,10,2,8,9,3,5,6,7,4]=>[4,7,6,5,3,9,8,2,10,1]
[1,10,2,7,8,9,4,5,6,3]=>[3,6,5,4,9,8,7,2,10,1]
[1,9,10,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,10,9,1]
[1,9,10,6,7,2,4,5,8,3]=>[3,8,5,4,2,7,6,10,9,1]
[1,8,9,6,7,10,3,4,5,2]=>[2,5,4,3,10,7,6,9,8,1]
[1,9,10,5,6,2,4,7,8,3]=>[3,8,7,4,2,6,5,10,9,1]
[1,8,9,5,6,10,3,4,7,2]=>[2,7,4,3,10,6,5,9,8,1]
[10,9,1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1,9,10]
[10,9,1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1,9,10]
[10,8,1,7,9,2,4,5,6,3]=>[3,6,5,4,2,9,7,1,8,10]
[10,8,1,6,7,2,4,5,9,3]=>[3,9,5,4,2,7,6,1,8,10]
[10,7,1,6,8,9,3,4,5,2]=>[2,5,4,3,9,8,6,1,7,10]
[10,8,1,5,6,2,4,7,9,3]=>[3,9,7,4,2,6,5,1,8,10]
[10,7,1,5,6,9,3,4,8,2]=>[2,8,4,3,9,6,5,1,7,10]
[9,8,10,6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6,10,8,9]
[9,8,10,5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5,10,8,9]
[9,7,10,5,6,1,3,4,8,2]=>[2,8,4,3,1,6,5,10,7,9]
[8,7,9,5,6,10,2,3,4,1]=>[1,4,3,2,10,6,5,9,7,8]
[9,8,10,4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4,10,8,9]
[9,7,10,4,5,1,3,6,8,2]=>[2,8,6,3,1,5,4,10,7,9]
[8,7,9,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,9,7,8]
[10,7,1,8,9,2,4,5,6,3]=>[3,6,5,4,2,9,8,1,7,10]
[10,7,1,6,9,2,4,5,8,3]=>[3,8,5,4,2,9,6,1,7,10]
[10,6,1,7,8,9,3,4,5,2]=>[2,5,4,3,9,8,7,1,6,10]
[10,7,1,5,9,2,4,6,8,3]=>[3,8,6,4,2,9,5,1,7,10]
[10,6,1,5,8,9,3,4,7,2]=>[2,7,4,3,9,8,5,1,6,10]
[9,7,10,6,8,1,3,4,5,2]=>[2,5,4,3,1,8,6,10,7,9]
[9,7,10,5,8,1,3,4,6,2]=>[2,6,4,3,1,8,5,10,7,9]
[9,6,10,5,7,1,3,4,8,2]=>[2,8,4,3,1,7,5,10,6,9]
[8,6,9,5,7,10,2,3,4,1]=>[1,4,3,2,10,7,5,9,6,8]
[9,7,10,4,8,1,3,5,6,2]=>[2,6,5,3,1,8,4,10,7,9]
[9,6,10,4,7,1,3,5,8,2]=>[2,8,5,3,1,7,4,10,6,9]
[8,6,9,4,7,10,2,3,5,1]=>[1,5,3,2,10,7,4,9,6,8]
[9,5,10,4,6,1,3,7,8,2]=>[2,8,7,3,1,6,4,10,5,9]
[8,5,9,4,6,10,2,3,7,1]=>[1,7,3,2,10,6,4,9,5,8]
[10,7,1,4,9,2,5,6,8,3]=>[3,8,6,5,2,9,4,1,7,10]
[10,6,1,4,8,9,3,5,7,2]=>[2,7,5,3,9,8,4,1,6,10]
[9,7,10,3,8,1,4,5,6,2]=>[2,6,5,4,1,8,3,10,7,9]
[9,6,10,3,7,1,4,5,8,2]=>[2,8,5,4,1,7,3,10,6,9]
[8,6,9,3,7,10,2,4,5,1]=>[1,5,4,2,10,7,3,9,6,8]
[9,5,10,3,6,1,4,7,8,2]=>[2,8,7,4,1,6,3,10,5,9]
[1,9,7,5,3,2,10,8,6,4]=>[4,6,8,10,2,3,5,7,9,1]
[1,8,5,2,9,6,3,10,7,4]=>[4,7,10,3,6,9,2,5,8,1]
[1,10,7,4,2,8,5,3,9,6]=>[6,9,3,5,8,2,4,7,10,1]
[1,10,7,4,2,9,6,3,8,5]=>[5,8,3,6,9,2,4,7,10,1]
[1,7,3,9,5,2,8,4,10,6]=>[6,10,4,8,2,5,9,3,7,1]
[1,10,6,2,7,3,8,4,9,5]=>[5,9,4,8,3,7,2,6,10,1]
[1,9,5,2,10,6,3,7,4,8]=>[8,4,7,3,6,10,2,5,9,1]
[1,10,6,2,9,5,3,7,4,8]=>[8,4,7,3,5,9,2,6,10,1]
[1,10,6,2,9,5,3,8,4,7]=>[7,4,8,3,5,9,2,6,10,1]
[1,10,5,9,4,8,3,7,2,6]=>[6,2,7,3,8,4,9,5,10,1]
[1,9,4,7,2,10,5,8,3,6]=>[6,3,8,5,10,2,7,4,9,1]
[1,10,5,8,3,6,2,9,4,7]=>[7,4,9,2,6,3,8,5,10,1]
[1,10,5,7,2,8,3,9,4,6]=>[6,4,9,3,8,2,7,5,10,1]
[1,10,5,7,2,9,4,6,3,8]=>[8,3,6,4,9,2,7,5,10,1]
[1,10,5,6,2,9,4,7,3,8]=>[8,3,7,4,9,2,6,5,10,1]
[1,9,3,5,7,2,10,4,6,8]=>[8,6,4,10,2,7,5,3,9,1]
[1,10,4,6,8,2,9,3,5,7]=>[7,5,3,9,2,8,6,4,10,1]
[1,8,2,9,3,10,4,5,6,7]=>[7,6,5,4,10,3,9,2,8,1]
[1,10,4,5,6,7,2,9,3,8]=>[8,3,9,2,7,6,5,4,10,1]
[1,9,3,7,2,10,4,8,5,6]=>[6,5,8,4,10,2,7,3,9,1]
[1,10,4,8,2,9,3,7,5,6]=>[6,5,7,3,9,2,8,4,10,1]
[1,10,4,7,2,9,3,8,5,6]=>[6,5,8,3,9,2,7,4,10,1]
[1,10,3,8,2,7,6,5,4,9]=>[9,4,5,6,7,2,8,3,10,1]
[1,9,2,10,3,7,6,5,4,8]=>[8,4,5,6,7,3,10,2,9,1]
[1,10,3,7,6,5,4,8,2,9]=>[9,2,8,4,5,6,7,3,10,1]
[1,10,3,8,2,9,4,7,6,5]=>[5,6,7,4,9,2,8,3,10,1]
[1,10,3,9,2,8,4,6,5,7]=>[7,5,6,4,8,2,9,3,10,1]
[1,10,3,8,2,9,4,6,5,7]=>[7,5,6,4,9,2,8,3,10,1]
[1,10,3,8,2,9,4,7,5,6]=>[6,5,7,4,9,2,8,3,10,1]
[1,10,2,9,3,7,4,8,5,6]=>[6,5,8,4,7,3,9,2,10,1]
[2,1,4,3,10,9,7,8,6,5]=>[5,6,8,7,9,10,3,4,1,2]
[2,1,8,7,5,6,4,3,10,9]=>[9,10,3,4,6,5,7,8,1,2]
[2,1,10,7,5,9,4,8,6,3]=>[3,6,8,4,9,5,7,10,1,2]
[2,1,10,9,5,8,7,6,4,3]=>[3,4,6,7,8,5,9,10,1,2]
[2,1,10,7,9,6,4,8,5,3]=>[3,5,8,4,6,9,7,10,1,2]
[4,3,2,1,10,9,7,8,6,5]=>[5,6,8,7,9,10,1,2,3,4]
[6,5,3,4,2,1,8,7,10,9]=>[9,10,7,8,1,2,4,3,5,6]
[6,5,3,4,2,1,10,9,8,7]=>[7,8,9,10,1,2,4,3,5,6]
[8,5,3,7,2,6,4,1,10,9]=>[9,10,1,4,6,2,7,3,5,8]
[10,5,3,7,2,9,4,8,6,1]=>[1,6,8,4,9,2,7,3,5,10]
[10,5,3,9,2,8,7,6,4,1]=>[1,4,6,7,8,2,9,3,5,10]
[8,7,3,6,5,4,2,1,10,9]=>[9,10,1,2,4,5,6,3,7,8]
[10,7,3,6,9,4,2,8,5,1]=>[1,5,8,2,4,9,6,3,7,10]
[10,9,3,8,6,5,7,4,2,1]=>[1,2,4,7,5,6,8,3,9,10]
[10,9,3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3,9,10]
[8,5,7,4,2,6,3,1,10,9]=>[9,10,1,3,6,2,4,7,5,8]
[10,5,7,4,2,9,3,8,6,1]=>[1,6,8,3,9,2,4,7,5,10]
[10,5,9,4,2,8,7,6,3,1]=>[1,3,6,7,8,2,4,9,5,10]
[8,7,6,4,5,3,2,1,10,9]=>[9,10,1,2,3,5,4,6,7,8]
[10,7,6,4,9,3,2,8,5,1]=>[1,5,8,2,3,9,4,6,7,10]
[10,9,8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8,9,10]
[10,7,6,9,5,3,2,8,4,1]=>[1,4,8,2,3,5,9,6,7,10]
[8,1,9,10,2,3,4,5,6,7]=>[7,6,5,4,3,2,10,9,1,8]
[5,10,4,9,3,8,2,1,7,6]=>[6,7,1,2,8,3,9,4,10,5]
[5,10,4,9,3,2,8,7,1,6]=>[6,1,7,8,2,3,9,4,10,5]
[5,10,4,9,3,2,8,1,7,6]=>[6,7,1,8,2,3,9,4,10,5]
[5,10,4,9,3,2,1,8,7,6]=>[6,7,8,1,2,3,9,4,10,5]
[5,10,4,3,9,8,2,7,1,6]=>[6,1,7,2,8,9,3,4,10,5]
[5,10,4,3,9,8,2,1,7,6]=>[6,7,1,2,8,9,3,4,10,5]
[5,10,4,3,9,2,8,7,1,6]=>[6,1,7,8,2,9,3,4,10,5]
[5,10,4,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,4,10,5]
[5,10,4,3,9,2,1,8,7,6]=>[6,7,8,1,2,9,3,4,10,5]
[5,10,4,3,2,9,8,7,1,6]=>[6,1,7,8,9,2,3,4,10,5]
[5,10,4,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,4,10,5]
[5,10,4,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,4,10,5]
[5,10,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,10,5]
[5,4,10,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,10,4,5]
[5,4,10,9,3,8,2,1,7,6]=>[6,7,1,2,8,3,9,10,4,5]
[5,4,10,9,3,2,8,7,1,6]=>[6,1,7,8,2,3,9,10,4,5]
[5,4,10,9,3,2,8,1,7,6]=>[6,7,1,8,2,3,9,10,4,5]
[5,4,10,9,3,2,1,8,7,6]=>[6,7,8,1,2,3,9,10,4,5]
[5,4,10,3,9,8,2,7,1,6]=>[6,1,7,2,8,9,3,10,4,5]
[5,4,10,3,9,8,2,1,7,6]=>[6,7,1,2,8,9,3,10,4,5]
[5,4,10,3,9,2,8,7,1,6]=>[6,1,7,8,2,9,3,10,4,5]
[5,4,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,4,5]
[5,4,10,3,9,2,1,8,7,6]=>[6,7,8,1,2,9,3,10,4,5]
[5,4,10,3,2,9,8,7,1,6]=>[6,1,7,8,9,2,3,10,4,5]
[5,4,10,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,10,4,5]
[5,4,10,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,10,4,5]
[5,4,10,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,10,4,5]
[5,4,3,10,9,8,2,7,1,6]=>[6,1,7,2,8,9,10,3,4,5]
[5,4,3,10,9,8,2,1,7,6]=>[6,7,1,2,8,9,10,3,4,5]
[5,4,3,10,9,2,8,7,1,6]=>[6,1,7,8,2,9,10,3,4,5]
[5,4,3,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,3,4,5]
[5,4,3,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,3,4,5]
[5,4,3,10,2,9,8,7,1,6]=>[6,1,7,8,9,2,10,3,4,5]
[5,4,3,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,3,4,5]
[5,4,3,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,3,4,5]
[5,4,3,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,3,4,5]
[5,4,3,2,10,9,8,7,1,6]=>[6,1,7,8,9,10,2,3,4,5]
[5,4,3,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,3,4,5]
[5,4,3,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,3,4,5]
[5,4,3,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,3,4,5]
[3,4,5,6,7,10,1,2,8,9]=>[9,8,2,1,10,7,6,5,4,3]
[3,4,5,6,9,10,1,2,7,8]=>[8,7,2,1,10,9,6,5,4,3]
[3,4,5,8,9,10,1,2,6,7]=>[7,6,2,1,10,9,8,5,4,3]
[3,4,7,8,9,10,1,2,5,6]=>[6,5,2,1,10,9,8,7,4,3]
[3,6,7,8,9,10,1,2,4,5]=>[5,4,2,1,10,9,8,7,6,3]
[3,5,7,9,1,4,6,8,10,2]=>[2,10,8,6,4,1,9,7,5,3]
[3,5,7,10,1,4,6,8,9,2]=>[2,9,8,6,4,1,10,7,5,3]
[3,5,8,9,1,4,6,7,10,2]=>[2,10,7,6,4,1,9,8,5,3]
[3,5,8,10,1,4,6,7,9,2]=>[2,9,7,6,4,1,10,8,5,3]
[3,5,9,10,1,4,6,7,8,2]=>[2,8,7,6,4,1,10,9,5,3]
[3,6,7,9,1,4,5,8,10,2]=>[2,10,8,5,4,1,9,7,6,3]
[3,6,7,10,1,4,5,8,9,2]=>[2,9,8,5,4,1,10,7,6,3]
[3,6,8,9,1,4,5,7,10,2]=>[2,10,7,5,4,1,9,8,6,3]
[3,6,8,10,1,4,5,7,9,2]=>[2,9,7,5,4,1,10,8,6,3]
[3,6,9,10,1,4,5,7,8,2]=>[2,8,7,5,4,1,10,9,6,3]
[3,7,8,9,1,4,5,6,10,2]=>[2,10,6,5,4,1,9,8,7,3]
[3,7,8,10,1,4,5,6,9,2]=>[2,9,6,5,4,1,10,8,7,3]
[3,7,9,10,1,4,5,6,8,2]=>[2,8,6,5,4,1,10,9,7,3]
[3,8,9,10,1,4,5,6,7,2]=>[2,7,6,5,4,1,10,9,8,3]
[4,5,7,9,1,3,6,8,10,2]=>[2,10,8,6,3,1,9,7,5,4]
[4,5,7,10,1,3,6,8,9,2]=>[2,9,8,6,3,1,10,7,5,4]
[4,5,8,9,1,3,6,7,10,2]=>[2,10,7,6,3,1,9,8,5,4]
[4,5,8,10,1,3,6,7,9,2]=>[2,9,7,6,3,1,10,8,5,4]
[4,5,9,10,1,3,6,7,8,2]=>[2,8,7,6,3,1,10,9,5,4]
[4,6,7,9,1,3,5,8,10,2]=>[2,10,8,5,3,1,9,7,6,4]
[4,6,7,10,1,3,5,8,9,2]=>[2,9,8,5,3,1,10,7,6,4]
[4,6,8,9,1,3,5,7,10,2]=>[2,10,7,5,3,1,9,8,6,4]
[4,6,8,10,1,3,5,7,9,2]=>[2,9,7,5,3,1,10,8,6,4]
[4,6,9,10,1,3,5,7,8,2]=>[2,8,7,5,3,1,10,9,6,4]
[4,7,8,9,1,3,5,6,10,2]=>[2,10,6,5,3,1,9,8,7,4]
[4,7,8,10,1,3,5,6,9,2]=>[2,9,6,5,3,1,10,8,7,4]
[4,7,9,10,1,3,5,6,8,2]=>[2,8,6,5,3,1,10,9,7,4]
[4,8,9,10,1,3,5,6,7,2]=>[2,7,6,5,3,1,10,9,8,4]
[5,6,7,9,1,3,4,8,10,2]=>[2,10,8,4,3,1,9,7,6,5]
[5,6,7,10,1,3,4,8,9,2]=>[2,9,8,4,3,1,10,7,6,5]
[5,6,8,9,1,3,4,7,10,2]=>[2,10,7,4,3,1,9,8,6,5]
[5,6,8,10,1,3,4,7,9,2]=>[2,9,7,4,3,1,10,8,6,5]
[5,6,9,10,1,3,4,7,8,2]=>[2,8,7,4,3,1,10,9,6,5]
[5,7,8,9,1,3,4,6,10,2]=>[2,10,6,4,3,1,9,8,7,5]
[5,7,8,10,1,3,4,6,9,2]=>[2,9,6,4,3,1,10,8,7,5]
[5,7,9,10,1,3,4,6,8,2]=>[2,8,6,4,3,1,10,9,7,5]
[5,8,9,10,1,3,4,6,7,2]=>[2,7,6,4,3,1,10,9,8,5]
[6,7,8,9,1,3,4,5,10,2]=>[2,10,5,4,3,1,9,8,7,6]
[6,7,8,10,1,3,4,5,9,2]=>[2,9,5,4,3,1,10,8,7,6]
[6,7,9,10,1,3,4,5,8,2]=>[2,8,5,4,3,1,10,9,7,6]
[6,8,9,10,1,3,4,5,7,2]=>[2,7,5,4,3,1,10,9,8,6]
[2,1,4,3,6,5,10,7,9,8]=>[8,9,7,10,5,6,3,4,1,2]
[2,1,4,3,8,5,7,6,10,9]=>[9,10,6,7,5,8,3,4,1,2]
[2,1,4,3,10,9,7,5,6,8]=>[8,6,5,7,9,10,3,4,1,2]
[2,1,4,3,10,5,6,8,9,7]=>[7,9,8,6,5,10,3,4,1,2]
[2,1,6,3,5,4,8,7,10,9]=>[9,10,7,8,4,5,3,6,1,2]
[2,1,6,3,5,4,10,7,9,8]=>[8,9,7,10,4,5,3,6,1,2]
[2,1,8,7,5,3,4,6,10,9]=>[9,10,6,4,3,5,7,8,1,2]
[2,1,10,7,5,9,4,3,6,8]=>[8,6,3,4,9,5,7,10,1,2]
[2,1,10,8,5,3,6,4,9,7]=>[7,9,4,6,3,5,8,10,1,2]
[2,1,8,3,4,6,7,5,10,9]=>[9,10,5,7,6,4,3,8,1,2]
[2,1,10,9,4,6,7,3,5,8]=>[8,5,3,7,6,4,9,10,1,2]
[2,1,10,3,9,6,4,8,5,7]=>[7,5,8,4,6,9,3,10,1,2]
[2,1,10,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,10,1,2]
[4,1,3,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,3,1,4]
[4,1,3,2,6,5,10,7,9,8]=>[8,9,7,10,5,6,2,3,1,4]
[4,1,3,2,8,5,7,6,10,9]=>[9,10,6,7,5,8,2,3,1,4]
[4,1,3,2,10,9,7,5,6,8]=>[8,6,5,7,9,10,2,3,1,4]
[4,1,3,2,10,5,6,8,9,7]=>[7,9,8,6,5,10,2,3,1,4]
[6,5,3,1,2,4,10,7,9,8]=>[8,9,7,10,4,2,1,3,5,6]
[8,5,3,7,2,1,4,6,10,9]=>[9,10,6,4,1,2,7,3,5,8]
[10,5,3,7,2,9,4,1,6,8]=>[8,6,1,4,9,2,7,3,5,10]
[10,5,3,8,2,1,6,4,9,7]=>[7,9,4,6,1,2,8,3,5,10]
[8,6,3,1,4,2,7,5,10,9]=>[9,10,5,7,2,4,1,3,6,8]
[10,6,3,9,4,2,7,1,5,8]=>[8,5,1,7,2,4,9,3,6,10]
[10,6,3,1,9,2,4,8,5,7]=>[7,5,8,4,2,9,1,3,6,10]
[10,7,3,1,4,5,2,8,9,6]=>[6,9,8,2,5,4,1,3,7,10]
[6,1,2,4,5,3,8,7,10,9]=>[9,10,7,8,3,5,4,2,1,6]
[6,1,2,4,5,3,10,7,9,8]=>[8,9,7,10,3,5,4,2,1,6]
[8,7,2,4,5,1,3,6,10,9]=>[9,10,6,3,1,5,4,2,7,8]
[10,7,2,4,5,9,3,1,6,8]=>[8,6,1,3,9,5,4,2,7,10]
[10,8,2,4,5,1,6,3,9,7]=>[7,9,3,6,1,5,4,2,8,10]
[8,1,7,4,2,6,3,5,10,9]=>[9,10,5,3,6,2,4,7,1,8]
[10,9,7,4,2,6,3,1,5,8]=>[8,5,1,3,6,2,4,7,9,10]
[10,1,8,4,9,6,2,3,5,7]=>[7,5,3,2,6,9,4,8,1,10]
[10,1,8,4,2,5,7,3,9,6]=>[6,9,3,7,5,2,4,8,1,10]
[8,1,2,3,5,6,7,4,10,9]=>[9,10,4,7,6,5,3,2,1,8]
[10,9,2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2,9,10]
[10,1,9,3,5,6,2,8,4,7]=>[7,4,8,2,6,5,3,9,1,10]
[10,1,2,9,5,3,7,8,4,6]=>[6,4,8,7,3,5,9,2,1,10]
[2,1,10,9,5,7,6,8,4,3]=>[3,4,8,6,7,5,9,10,1,2]
[2,1,10,9,7,6,5,8,4,3]=>[3,4,8,5,6,7,9,10,1,2]
[8,7,3,5,4,6,2,1,10,9]=>[9,10,1,2,6,4,5,3,7,8]
[10,9,3,5,4,7,6,8,2,1]=>[1,2,8,6,7,4,5,3,9,10]
[10,9,3,5,4,8,7,6,2,1]=>[1,2,6,7,8,4,5,3,9,10]
[10,9,3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3,9,10]
[8,7,5,4,3,6,2,1,10,9]=>[9,10,1,2,6,3,4,5,7,8]
[10,9,5,4,3,7,6,8,2,1]=>[1,2,8,6,7,3,4,5,9,10]
[10,9,5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5,9,10]
[10,9,7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7,9,10]
[9,6,1,2,3,4,5,10,7,8]=>[8,7,10,5,4,3,2,1,6,9]
[10,5,1,2,3,4,9,6,7,8]=>[8,7,6,9,4,3,2,1,5,10]
[9,4,1,2,3,10,5,6,7,8]=>[8,7,6,5,10,3,2,1,4,9]
[9,3,1,2,10,4,5,6,7,8]=>[8,7,6,5,4,10,2,1,3,9]
[10,2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2,10]
[6,1,5,2,4,3,7,8,9,10]=>[10,9,8,7,3,4,2,5,1,6]
[2,5,1,4,3,6,7,8,9,10]=>[10,9,8,7,6,3,4,1,5,2]
[3,2,4,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,4,2,3]
[8,1,7,2,6,3,5,4,9,10]=>[10,9,4,5,3,6,2,7,1,8]
[2,7,1,6,3,5,4,8,9,10]=>[10,9,8,4,5,3,6,1,7,2]
[3,4,6,1,5,2,7,8,9,10]=>[10,9,8,7,2,5,1,6,4,3]
[3,2,6,1,5,4,7,8,9,10]=>[10,9,8,7,4,5,1,6,2,3]
[3,4,2,5,1,6,7,8,9,10]=>[10,9,8,7,6,1,5,2,4,3]
[2,9,1,8,3,7,4,6,5,10]=>[10,5,6,4,7,3,8,1,9,2]
[3,4,8,1,7,2,6,5,9,10]=>[10,9,5,6,2,7,1,8,4,3]
[3,2,8,1,7,4,6,5,9,10]=>[10,9,5,6,4,7,1,8,2,3]
[5,7,2,4,1,6,3,8,9,10]=>[10,9,8,3,6,1,4,2,7,5]
[3,4,2,7,1,6,5,8,9,10]=>[10,9,8,5,6,1,7,2,4,3]
[4,3,5,2,6,1,7,8,9,10]=>[10,9,8,7,1,6,2,5,3,4]
[3,4,10,1,9,2,8,5,7,6]=>[6,7,5,8,2,9,1,10,4,3]
[3,2,10,1,9,4,8,5,7,6]=>[6,7,5,8,4,9,1,10,2,3]
[4,5,6,9,1,8,2,7,3,10]=>[10,3,7,2,8,1,9,6,5,4]
[3,4,2,9,1,8,5,7,6,10]=>[10,6,7,5,8,1,9,2,4,3]
[6,3,5,4,8,1,7,2,9,10]=>[10,9,2,7,1,8,4,5,3,6]
[3,6,8,2,5,1,7,4,9,10]=>[10,9,4,7,1,5,2,8,6,3]
[4,3,5,2,8,1,7,6,9,10]=>[10,9,6,7,1,8,2,5,3,4]
[4,5,3,6,2,7,1,8,9,10]=>[10,9,8,1,7,2,6,3,5,4]
[6,7,10,2,9,1,5,3,8,4]=>[4,8,3,5,1,9,2,10,7,6]
[6,3,5,4,10,1,9,2,8,7]=>[7,8,2,9,1,10,4,5,3,6]
[3,6,10,2,5,1,9,4,8,7]=>[7,8,4,9,1,5,2,10,6,3]
[4,3,5,2,10,1,9,6,8,7]=>[7,8,6,9,1,10,2,5,3,4]
[4,7,2,9,5,6,1,8,3,10]=>[10,3,8,1,6,5,9,2,7,4]
[4,3,7,9,2,6,1,8,5,10]=>[10,5,8,1,6,2,9,7,3,4]
[4,5,3,6,2,9,1,8,7,10]=>[10,7,8,1,9,2,6,3,5,4]
[5,4,6,3,7,2,8,1,9,10]=>[10,9,1,8,2,7,3,6,4,5]
[5,6,8,3,7,4,10,1,9,2]=>[2,9,1,10,4,7,3,8,6,5]
[8,3,5,2,10,6,7,1,9,4]=>[4,9,1,7,6,10,2,5,3,8]
[4,5,3,8,10,2,7,1,9,6]=>[6,9,1,7,2,10,8,3,5,4]
[5,4,6,3,7,2,10,1,9,8]=>[8,9,1,10,2,7,3,6,4,5]
[10,8,9,4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4,9,8,10]
[10,7,9,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,9,7,10]
[10,7,9,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,9,7,10]
[10,6,9,4,8,7,1,5,3,2]=>[2,3,5,1,7,8,4,9,6,10]
[10,7,9,3,8,6,1,5,4,2]=>[2,4,5,1,6,8,3,9,7,10]
[10,6,9,3,8,7,1,5,4,2]=>[2,4,5,1,7,8,3,9,6,10]
[9,8,10,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,10,8,9]
[9,8,10,4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4,10,8,9]
[9,7,10,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,10,7,9]
[9,7,10,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,10,7,9]
[9,6,10,4,8,7,1,5,3,2]=>[2,3,5,1,7,8,4,10,6,9]
[9,7,10,3,8,6,1,5,4,2]=>[2,4,5,1,6,8,3,10,7,9]
[9,6,10,3,8,7,1,5,4,2]=>[2,4,5,1,7,8,3,10,6,9]
[8,7,10,5,9,6,1,4,3,2]=>[2,3,4,1,6,9,5,10,7,8]
[8,7,10,4,9,6,1,5,3,2]=>[2,3,5,1,6,9,4,10,7,8]
[8,6,10,4,9,7,1,5,3,2]=>[2,3,5,1,7,9,4,10,6,8]
[7,6,10,4,9,8,1,5,3,2]=>[2,3,5,1,8,9,4,10,6,7]
[8,7,10,3,9,6,1,5,4,2]=>[2,4,5,1,6,9,3,10,7,8]
[8,6,10,3,9,7,1,5,4,2]=>[2,4,5,1,7,9,3,10,6,8]
[7,6,10,3,9,8,1,5,4,2]=>[2,4,5,1,8,9,3,10,6,7]
[9,6,10,5,8,7,1,4,3,2]=>[2,3,4,1,7,8,5,10,6,9]
[9,5,10,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,10,5,9]
[9,5,10,3,8,7,1,6,4,2]=>[2,4,6,1,7,8,3,10,5,9]
[8,6,10,5,9,7,1,4,3,2]=>[2,3,4,1,7,9,5,10,6,8]
[8,5,10,4,9,7,1,6,3,2]=>[2,3,6,1,7,9,4,10,5,8]
[7,5,10,4,9,8,1,6,3,2]=>[2,3,6,1,8,9,4,10,5,7]
[8,5,10,3,9,7,1,6,4,2]=>[2,4,6,1,7,9,3,10,5,8]
[7,5,10,3,9,8,1,6,4,2]=>[2,4,6,1,8,9,3,10,5,7]
[8,4,10,3,9,7,1,6,5,2]=>[2,5,6,1,7,9,3,10,4,8]
[7,4,10,3,9,8,1,6,5,2]=>[2,5,6,1,8,9,3,10,4,7]
[9,6,10,2,8,7,1,5,4,3]=>[3,4,5,1,7,8,2,10,6,9]
[9,5,10,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,10,5,9]
[8,6,10,2,9,7,1,5,4,3]=>[3,4,5,1,7,9,2,10,6,8]
[8,5,10,2,9,7,1,6,4,3]=>[3,4,6,1,7,9,2,10,5,8]
[7,5,10,2,9,8,1,6,4,3]=>[3,4,6,1,8,9,2,10,5,7]
[8,4,10,2,9,7,1,6,5,3]=>[3,5,6,1,7,9,2,10,4,8]
[2,1,4,3,6,5,10,7,8,9]=>[9,8,7,10,5,6,3,4,1,2]
[2,1,4,3,8,5,6,7,10,9]=>[9,10,7,6,5,8,3,4,1,2]
[2,1,4,3,10,9,6,5,8,7]=>[7,8,5,6,9,10,3,4,1,2]
[2,1,4,3,10,5,6,7,8,9]=>[9,8,7,6,5,10,3,4,1,2]
[2,1,6,3,4,5,8,7,10,9]=>[9,10,7,8,5,4,3,6,1,2]
[2,1,6,3,4,5,10,7,8,9]=>[9,8,7,10,5,4,3,6,1,2]
[2,1,10,7,4,9,6,3,8,5]=>[5,8,3,6,9,4,7,10,1,2]
[2,1,10,9,4,3,6,7,8,5]=>[5,8,7,6,3,4,9,10,1,2]
[2,1,8,3,4,5,6,7,10,9]=>[9,10,7,6,5,4,3,8,1,2]
[2,1,10,9,4,5,6,3,8,7]=>[7,8,3,6,5,4,9,10,1,2]
[2,1,10,3,8,5,4,7,6,9]=>[9,6,7,4,5,8,3,10,1,2]
[4,1,2,3,6,5,10,7,8,9]=>[9,8,7,10,5,6,3,2,1,4]
[4,1,2,3,8,5,6,7,10,9]=>[9,10,7,6,5,8,3,2,1,4]
[4,1,2,3,10,9,6,5,8,7]=>[7,8,5,6,9,10,3,2,1,4]
[6,5,2,1,4,3,8,7,10,9]=>[9,10,7,8,3,4,1,2,5,6]
[6,5,2,1,4,3,10,7,8,9]=>[9,8,7,10,3,4,1,2,5,6]
[8,5,2,7,4,1,6,3,10,9]=>[9,10,3,6,1,4,7,2,5,8]
[10,5,2,7,4,9,6,1,8,3]=>[3,8,1,6,9,4,7,2,5,10]
[10,5,2,9,4,1,6,7,8,3]=>[3,8,7,6,1,4,9,2,5,10]
[8,7,2,1,4,5,6,3,10,9]=>[9,10,3,6,5,4,1,2,7,8]
[10,7,2,9,4,5,6,1,8,3]=>[3,8,1,6,5,4,9,2,7,10]
[10,9,2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2,9,10]
[10,9,2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2,9,10]
[6,1,2,3,4,5,8,7,10,9]=>[9,10,7,8,5,4,3,2,1,6]
[8,7,2,3,4,1,6,5,10,9]=>[9,10,5,6,1,4,3,2,7,8]
[10,7,2,3,4,9,6,1,8,5]=>[5,8,1,6,9,4,3,2,7,10]
[10,9,2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2,9,10]
[8,1,6,3,2,5,4,7,10,9]=>[9,10,7,4,5,2,3,6,1,8]
[10,9,6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6,9,10]
[10,1,6,3,8,5,2,7,4,9]=>[9,4,7,2,5,8,3,6,1,10]
[10,1,8,3,2,5,6,7,4,9]=>[9,4,7,6,5,2,3,8,1,10]
[10,9,2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2,9,10]
[10,1,8,3,4,5,2,7,6,9]=>[9,6,7,2,5,4,3,8,1,10]
[10,1,2,7,4,3,6,5,8,9]=>[9,8,5,6,3,4,7,2,1,10]
[8,6,1,2,3,4,5,10,7,9]=>[9,7,10,5,4,3,2,1,6,8]
[5,7,1,2,3,4,10,6,8,9]=>[9,8,6,10,4,3,2,1,7,5]
[6,4,1,2,3,10,5,7,8,9]=>[9,8,7,5,10,3,2,1,4,6]
[5,3,1,2,10,4,6,7,8,9]=>[9,8,7,6,4,10,2,1,3,5]
[2,4,1,10,3,5,6,7,8,9]=>[9,8,7,6,5,3,10,1,4,2]
[7,5,6,4,8,3,9,2,10,1]=>[1,10,2,9,3,8,4,6,5,7]
[8,6,4,5,7,3,9,2,10,1]=>[1,10,2,9,3,7,5,4,6,8]
[9,7,8,5,3,4,6,2,10,1]=>[1,10,2,6,4,3,5,8,7,9]
[9,6,4,5,3,7,8,2,10,1]=>[1,10,2,8,7,3,5,4,6,9]
[9,7,5,3,4,6,8,2,10,1]=>[1,10,2,8,6,4,3,5,7,9]
[9,7,8,6,10,4,2,3,5,1]=>[1,5,3,2,4,10,6,8,7,9]
[10,8,6,7,9,4,2,3,5,1]=>[1,5,3,2,4,9,7,6,8,10]
[10,8,9,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,9,8,10]
[10,8,9,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,9,8,10]
[10,6,4,5,3,7,2,8,9,1]=>[1,9,8,2,7,3,5,4,6,10]
[10,7,5,3,4,6,2,8,9,1]=>[1,9,8,2,6,4,3,5,7,10]
[10,8,6,7,4,2,3,5,9,1]=>[1,9,5,3,2,4,7,6,8,10]
[10,8,5,3,4,2,6,7,9,1]=>[1,9,7,6,2,4,3,5,8,10]
[10,8,6,4,2,3,5,7,9,1]=>[1,9,7,5,3,2,4,6,8,10]
[8,6,7,5,9,4,10,2,1,3]=>[3,1,2,10,4,9,5,7,6,8]
[9,7,5,6,8,4,10,2,1,3]=>[3,1,2,10,4,8,6,5,7,9]
[10,8,9,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,9,8,10]
[10,7,5,6,4,8,9,2,1,3]=>[3,1,2,9,8,4,6,5,7,10]
[10,8,6,4,5,7,9,2,1,3]=>[3,1,2,9,7,5,4,6,8,10]
[8,6,7,5,9,3,2,4,1,10]=>[10,1,4,2,3,9,5,7,6,8]
[9,7,5,6,8,3,2,4,1,10]=>[10,1,4,2,3,8,6,5,7,9]
[10,7,5,6,4,8,2,1,3,9]=>[9,3,1,2,8,4,6,5,7,10]
[10,8,6,4,5,7,2,1,3,9]=>[9,3,1,2,7,5,4,6,8,10]
[8,6,7,4,3,5,2,9,1,10]=>[10,1,9,2,5,3,4,7,6,8]
[9,7,5,6,3,2,4,8,1,10]=>[10,1,8,4,2,3,6,5,7,9]
[10,8,9,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,9,8,10]
[10,7,5,6,3,2,4,1,8,9]=>[9,8,1,4,2,3,6,5,7,10]
[10,8,6,4,5,2,1,3,7,9]=>[9,7,3,1,2,5,4,6,8,10]
[7,5,4,6,3,8,2,9,1,10]=>[10,1,9,2,8,3,6,4,5,7]
[8,6,4,3,5,7,2,9,1,10]=>[10,1,9,2,7,5,3,4,6,8]
[9,7,8,6,4,2,3,5,1,10]=>[10,1,5,3,2,4,6,8,7,9]
[9,6,4,3,5,2,7,8,1,10]=>[10,1,8,7,2,5,3,4,6,9]
[9,7,5,3,2,4,6,8,1,10]=>[10,1,8,6,4,2,3,5,7,9]
[9,7,8,6,10,5,3,1,2,4]=>[4,2,1,3,5,10,6,8,7,9]
[10,8,6,7,9,5,3,1,2,4]=>[4,2,1,3,5,9,7,6,8,10]
[10,8,9,7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7,9,8,10]
[10,8,9,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,9,8,10]
[10,6,4,3,5,2,7,1,8,9]=>[9,8,1,7,2,5,3,4,6,10]
[10,7,5,3,2,4,6,1,8,9]=>[9,8,1,6,4,2,3,5,7,10]
[10,8,6,7,5,3,1,2,4,9]=>[9,4,2,1,3,5,7,6,8,10]
[10,8,5,3,2,4,1,6,7,9]=>[9,7,6,1,4,2,3,5,8,10]
[1,10,8,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,8,10,1]
[1,10,8,6,5,4,3,2,7,9]=>[9,7,2,3,4,5,6,8,10,1]
[1,9,7,5,4,3,2,6,10,8]=>[8,10,6,2,3,4,5,7,9,1]
[1,10,8,6,4,3,2,5,9,7]=>[7,9,5,2,3,4,6,8,10,1]
[1,10,8,6,4,9,7,5,3,2]=>[2,3,5,7,9,4,6,8,10,1]
[1,9,7,5,3,10,8,6,4,2]=>[2,4,6,8,10,3,5,7,9,1]
[1,7,10,8,9,6,5,4,3,2]=>[2,3,4,5,6,9,8,10,7,1]
[1,6,10,8,5,4,3,2,7,9]=>[9,7,2,3,4,5,8,10,6,1]
[1,5,9,7,4,3,2,6,10,8]=>[8,10,6,2,3,4,7,9,5,1]
[1,4,10,8,6,3,2,5,9,7]=>[7,9,5,2,3,6,8,10,4,1]
[1,3,10,8,6,4,9,7,5,2]=>[2,5,7,9,4,6,8,10,3,1]
[1,2,9,7,5,3,10,8,6,4]=>[4,6,8,10,3,5,7,9,2,1]
[2,4,1,5,6,7,8,10,3,9]=>[9,3,10,8,7,6,5,1,4,2]
[3,1,5,2,6,7,8,9,10,4]=>[4,10,9,8,7,6,2,5,1,3]
[3,10,9,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,9,10,3]
[4,10,9,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,9,10,4]
[5,10,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,10,5]
[1,3,5,7,2,9,4,6,8,10]=>[10,8,6,4,9,2,7,5,3,1]
[1,3,5,7,2,9,4,10,6,8]=>[8,6,10,4,9,2,7,5,3,1]
[1,3,5,7,2,8,4,9,6,10]=>[10,6,9,4,8,2,7,5,3,1]
[1,3,5,6,2,7,4,9,8,10]=>[10,8,9,4,7,2,6,5,3,1]
[1,3,4,5,2,7,6,9,8,10]=>[10,8,9,6,7,2,5,4,3,1]
[10,1,2,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,2,1,10]
[8,1,2,3,4,5,10,7,9,6]=>[6,9,7,10,5,4,3,2,1,8]
[8,1,2,3,4,5,9,7,10,6]=>[6,10,7,9,5,4,3,2,1,8]
[9,1,2,3,4,10,6,7,8,5]=>[5,8,7,6,10,4,3,2,1,9]
[8,1,2,3,4,10,6,7,9,5]=>[5,9,7,6,10,4,3,2,1,8]
[8,1,2,3,4,9,6,7,10,5]=>[5,10,7,6,9,4,3,2,1,8]
[7,1,2,3,4,9,6,10,8,5]=>[5,8,10,6,9,4,3,2,1,7]
[7,1,2,3,4,8,6,9,10,5]=>[5,10,9,6,8,4,3,2,1,7]
[8,1,2,3,10,5,6,7,9,4]=>[4,9,7,6,5,10,3,2,1,8]
[8,1,2,3,9,5,6,7,10,4]=>[4,10,7,6,5,9,3,2,1,8]
[7,1,2,3,10,5,6,8,9,4]=>[4,9,8,6,5,10,3,2,1,7]
[7,1,2,3,8,5,6,9,10,4]=>[4,10,9,6,5,8,3,2,1,7]
[6,1,2,3,8,5,10,7,9,4]=>[4,9,7,10,5,8,3,2,1,6]
[6,1,2,3,8,5,9,7,10,4]=>[4,10,7,9,5,8,3,2,1,6]
[6,1,2,3,7,5,8,9,10,4]=>[4,10,9,8,5,7,3,2,1,6]
[6,1,2,9,4,5,10,7,8,3]=>[3,8,7,10,5,4,9,2,1,6]
[6,1,2,8,4,5,10,7,9,3]=>[3,9,7,10,5,4,8,2,1,6]
[6,1,2,8,4,5,9,7,10,3]=>[3,10,7,9,5,4,8,2,1,6]
[6,1,2,7,4,5,8,9,10,3]=>[3,10,9,8,5,4,7,2,1,6]
[5,1,2,7,4,9,6,10,8,3]=>[3,8,10,6,9,4,7,2,1,5]
[5,1,2,7,4,8,6,9,10,3]=>[3,10,9,6,8,4,7,2,1,5]
[5,1,2,6,4,7,8,9,10,3]=>[3,10,9,8,7,4,6,2,1,5]
[4,1,6,3,8,5,9,7,10,2]=>[2,10,7,9,5,8,3,6,1,4]
[4,1,6,3,7,5,8,9,10,2]=>[2,10,9,8,5,7,3,6,1,4]
[4,1,5,3,6,7,8,9,10,2]=>[2,10,9,8,7,6,3,5,1,4]
[1,10,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,10,1]
[1,10,9,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,9,10,1]
[1,10,9,8,7,5,4,3,2,6]=>[6,2,3,4,5,7,8,9,10,1]
[1,10,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,10,1]
[9,10,2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2,10,9]
[8,9,10,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,10,9,8]
[7,8,9,10,2,3,4,5,1,6]=>[6,1,5,4,3,2,10,9,8,7]
[5,6,7,8,9,10,2,3,1,4]=>[4,1,3,2,10,9,8,7,6,5]
[4,5,6,7,8,9,10,2,1,3]=>[3,1,2,10,9,8,7,6,5,4]
[8,10,3,4,5,6,7,2,1,9]=>[9,1,2,7,6,5,4,3,10,8]
[3,4,5,6,7,8,1,9,2,10]=>[10,2,9,1,8,7,6,5,4,3]
[4,5,6,7,8,9,2,10,1,3]=>[3,1,10,2,9,8,7,6,5,4]
[2,10,9,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,9,10,2]
[2,10,9,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,9,10,2]
[2,10,9,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,9,10,2]
[1,3,5,7,9,10,2,4,6,8]=>[8,6,4,2,10,9,7,5,3,1]
[1,3,5,8,9,2,10,4,6,7]=>[7,6,4,10,2,9,8,5,3,1]
[1,3,6,7,2,9,10,4,5,8]=>[8,5,4,10,9,2,7,6,3,1]
[1,3,6,8,9,2,4,10,5,7]=>[7,5,10,4,2,9,8,6,3,1]
[1,3,7,8,2,9,4,10,5,6]=>[6,5,10,4,9,2,8,7,3,1]
[1,4,5,2,7,9,10,3,6,8]=>[8,6,3,10,9,7,2,5,4,1]
[1,4,5,2,8,9,3,10,6,7]=>[7,6,10,3,9,8,2,5,4,1]
[1,4,6,7,2,3,9,10,5,8]=>[8,5,10,9,3,2,7,6,4,1]
[1,5,6,2,7,3,9,10,4,8]=>[8,4,10,9,3,7,2,6,5,1]
[1,4,6,8,9,2,3,5,10,7]=>[7,10,5,3,2,9,8,6,4,1]
[1,4,7,8,2,9,3,5,10,6]=>[6,10,5,3,9,2,8,7,4,1]
[1,5,6,2,8,9,3,4,10,7]=>[7,10,4,3,9,8,2,6,5,1]
[1,5,7,8,2,3,9,4,10,6]=>[6,10,4,9,3,2,8,7,5,1]
[1,6,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,6,1]
[2,3,1,5,7,9,10,4,6,8]=>[8,6,4,10,9,7,5,1,3,2]
[2,3,1,5,8,9,4,10,6,7]=>[7,6,10,4,9,8,5,1,3,2]
[2,3,1,6,7,4,9,10,5,8]=>[8,5,10,9,4,7,6,1,3,2]
[2,3,1,6,8,9,4,5,10,7]=>[7,10,5,4,9,8,6,1,3,2]
[2,3,1,7,8,4,9,5,10,6]=>[6,10,5,9,4,8,7,1,3,2]
[2,4,5,1,3,7,9,10,6,8]=>[8,6,10,9,7,3,1,5,4,2]
[2,4,5,1,3,8,9,6,10,7]=>[7,10,6,9,8,3,1,5,4,2]
[3,4,1,5,2,7,9,10,6,8]=>[8,6,10,9,7,2,5,1,4,3]
[3,4,1,5,2,8,9,6,10,7]=>[7,10,6,9,8,2,5,1,4,3]
[2,4,6,7,1,3,5,9,10,8]=>[8,10,9,5,3,1,7,6,4,2]
[2,5,6,1,7,3,4,9,10,8]=>[8,10,9,4,3,7,1,6,5,2]
[3,4,1,6,7,2,5,9,10,8]=>[8,10,9,5,2,7,6,1,4,3]
[3,5,6,1,2,7,4,9,10,8]=>[8,10,9,4,7,2,1,6,5,3]
[4,5,1,6,2,7,3,9,10,8]=>[8,10,9,3,7,2,6,1,5,4]
[2,4,6,8,9,1,3,5,7,10]=>[10,7,5,3,1,9,8,6,4,2]
[2,4,7,8,1,9,3,5,6,10]=>[10,6,5,3,9,1,8,7,4,2]
[2,5,6,1,8,9,3,4,7,10]=>[10,7,4,3,9,8,1,6,5,2]
[2,5,7,8,1,3,9,4,6,10]=>[10,6,4,9,3,1,8,7,5,2]
[2,6,7,1,8,3,9,4,5,10]=>[10,5,4,9,3,8,1,7,6,2]
[3,4,1,6,8,9,2,5,7,10]=>[10,7,5,2,9,8,6,1,4,3]
[3,4,1,7,8,2,9,5,6,10]=>[10,6,5,9,2,8,7,1,4,3]
[3,5,6,1,2,8,9,4,7,10]=>[10,7,4,9,8,2,1,6,5,3]
[4,5,1,6,2,8,9,3,7,10]=>[10,7,3,9,8,2,6,1,5,4]
[3,5,7,8,1,2,4,9,6,10]=>[10,6,9,4,2,1,8,7,5,3]
[3,6,7,1,8,2,4,9,5,10]=>[10,5,9,4,2,8,1,7,6,3]
[4,5,1,7,8,2,3,9,6,10]=>[10,6,9,3,2,8,7,1,5,4]
[4,6,7,1,2,8,3,9,5,10]=>[10,5,9,3,8,2,1,7,6,4]
[5,6,1,7,2,8,3,9,4,10]=>[10,4,9,3,8,2,7,1,6,5]
[2,1,4,3,10,5,7,6,9,8]=>[8,9,6,7,5,10,3,4,1,2]
[2,1,4,3,9,6,10,5,8,7]=>[7,8,5,10,6,9,3,4,1,2]
[2,1,8,3,5,4,7,6,10,9]=>[9,10,6,7,4,5,3,8,1,2]
[2,1,10,3,5,4,7,6,9,8]=>[8,9,6,7,4,5,3,10,1,2]
[2,1,9,6,10,3,5,4,8,7]=>[7,8,4,5,3,10,6,9,1,2]
[2,1,7,4,8,3,6,5,10,9]=>[9,10,5,6,3,8,4,7,1,2]
[2,1,7,4,10,3,6,5,9,8]=>[8,9,5,6,3,10,4,7,1,2]
[2,1,10,3,6,5,9,4,8,7]=>[7,8,4,9,5,6,3,10,1,2]
[2,1,9,4,8,5,10,3,7,6]=>[6,7,3,10,5,8,4,9,1,2]
[4,1,3,2,10,5,7,6,9,8]=>[8,9,6,7,5,10,2,3,1,4]
[4,1,3,2,9,6,10,5,8,7]=>[7,8,5,10,6,9,2,3,1,4]
[6,1,3,2,5,4,8,7,10,9]=>[9,10,7,8,4,5,2,3,1,6]
[6,1,3,2,5,4,10,7,9,8]=>[8,9,7,10,4,5,2,3,1,6]
[8,1,3,2,5,4,7,6,10,9]=>[9,10,6,7,4,5,2,3,1,8]
[9,6,10,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,10,6,9]
[7,4,8,1,3,2,6,5,10,9]=>[9,10,5,6,2,3,1,8,4,7]
[7,4,10,1,3,2,6,5,9,8]=>[8,9,5,6,2,3,1,10,4,7]
[10,1,3,2,6,5,9,4,8,7]=>[7,8,4,9,5,6,2,3,1,10]
[9,4,8,5,10,1,3,2,7,6]=>[6,7,2,3,1,10,5,8,4,9]
[5,2,6,1,4,3,8,7,10,9]=>[9,10,7,8,3,4,1,6,2,5]
[5,2,6,1,4,3,10,7,9,8]=>[8,9,7,10,3,4,1,6,2,5]
[5,2,8,1,4,3,7,6,10,9]=>[9,10,6,7,3,4,1,8,2,5]
[5,2,10,1,4,3,7,6,9,8]=>[8,9,6,7,3,4,1,10,2,5]
[5,2,9,6,10,1,4,3,8,7]=>[7,8,3,4,1,10,6,9,2,5]
[8,1,4,3,7,2,6,5,10,9]=>[9,10,5,6,2,7,3,4,1,8]
[10,1,4,3,7,2,6,5,9,8]=>[8,9,5,6,2,7,3,4,1,10]
[9,2,6,5,10,1,4,3,8,7]=>[7,8,3,4,1,10,5,6,2,9]
[10,1,4,3,8,5,9,2,7,6]=>[6,7,2,9,5,8,3,4,1,10]
[7,2,6,3,8,1,5,4,10,9]=>[9,10,4,5,1,8,3,6,2,7]
[7,2,6,3,10,1,5,4,9,8]=>[8,9,4,5,1,10,3,6,2,7]
[10,1,5,4,9,2,6,3,8,7]=>[7,8,3,6,2,9,4,5,1,10]
[8,3,10,1,5,4,9,2,7,6]=>[6,7,2,9,4,5,1,10,3,8]
[8,3,9,2,7,4,10,1,6,5]=>[5,6,1,10,4,7,2,9,3,8]
[1,2,3,4,5,6,8,9,7,10]=>[10,7,9,8,6,5,4,3,2,1]
[9,6,4,3,5,7,2,8,10,1]=>[1,10,8,2,7,5,3,4,6,9]
[9,6,5,7,3,2,4,8,10,1]=>[1,10,8,4,2,3,7,5,6,9]
[9,7,4,3,5,2,6,8,10,1]=>[1,10,8,6,2,5,3,4,7,9]
[9,7,5,3,2,4,6,8,10,1]=>[1,10,8,6,4,2,3,5,7,9]
[7,6,8,5,9,4,10,2,1,3]=>[3,1,2,10,4,9,5,8,6,7]
[10,5,4,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,4,5,10]
[10,7,4,3,5,2,6,8,1,9]=>[9,1,8,6,2,5,3,4,7,10]
[10,7,5,3,2,4,6,8,1,9]=>[9,1,8,6,4,2,3,5,7,10]
[10,7,5,4,6,8,2,1,3,9]=>[9,3,1,2,8,6,4,5,7,10]
[10,7,6,8,3,2,4,1,5,9]=>[9,5,1,4,2,3,8,6,7,10]
[10,7,6,8,4,2,1,3,5,9]=>[9,5,3,1,2,4,8,6,7,10]
[10,1,2,3,4,5,9,7,6,8]=>[8,6,7,9,5,4,3,2,1,10]
[10,1,2,3,4,9,6,7,5,8]=>[8,5,7,6,9,4,3,2,1,10]
[9,1,2,3,10,5,6,7,4,8]=>[8,4,7,6,5,10,3,2,1,9]
[10,1,2,9,4,5,6,7,3,8]=>[8,3,7,6,5,4,9,2,1,10]
[10,1,9,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,9,1,10]
[8,1,2,3,4,5,10,6,9,7]=>[7,9,6,10,5,4,3,2,1,8]
[7,1,2,3,4,9,5,6,10,8]=>[8,10,6,5,9,4,3,2,1,7]
[6,1,2,3,9,4,5,7,10,8]=>[8,10,7,5,4,9,3,2,1,6]
[5,1,2,10,3,4,6,7,9,8]=>[8,9,7,6,4,3,10,2,1,5]
[4,1,9,2,3,5,6,7,10,8]=>[8,10,7,6,5,3,2,9,1,4]
[3,9,1,2,4,5,6,7,10,8]=>[8,10,7,6,5,4,2,1,9,3]
[10,2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2,10]
[1,2,3,4,5,7,8,6,9,10]=>[10,9,6,8,7,5,4,3,2,1]
[1,2,3,4,5,7,8,9,6,10]=>[10,6,9,8,7,5,4,3,2,1]
[2,4,5,6,1,7,8,9,10,3]=>[3,10,9,8,7,1,6,5,4,2]
[2,3,5,6,1,7,8,9,10,4]=>[4,10,9,8,7,1,6,5,3,2]
[10,1,4,6,2,7,9,3,5,8]=>[8,5,3,9,7,2,6,4,1,10]
[4,1,2,10,6,7,9,3,5,8]=>[8,5,3,9,7,6,10,2,1,4]
[7,1,10,6,2,3,9,4,5,8]=>[8,5,4,9,3,2,6,10,1,7]
[10,1,2,7,6,3,9,4,5,8]=>[8,5,4,9,3,6,7,2,1,10]
[10,1,2,3,6,7,9,4,5,8]=>[8,5,4,9,7,6,3,2,1,10]
[6,1,4,5,2,10,9,3,7,8]=>[8,7,3,9,10,2,5,4,1,6]
[4,1,2,5,6,10,9,3,7,8]=>[8,7,3,9,10,6,5,2,1,4]
[10,1,6,5,2,3,9,4,7,8]=>[8,7,4,9,3,2,5,6,1,10]
[10,1,2,5,6,3,9,4,7,8]=>[8,7,4,9,3,6,5,2,1,10]
[5,1,2,3,6,10,9,4,7,8]=>[8,7,4,9,10,6,3,2,1,5]
[10,1,9,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,9,1,10]
[10,1,2,5,9,3,4,6,7,8]=>[8,7,6,4,3,9,5,2,1,10]
[9,8,10,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,10,8,9]
[6,9,1,2,3,4,5,7,10,8]=>[8,10,7,5,4,3,2,1,9,6]
[5,6,9,1,2,3,4,7,10,8]=>[8,10,7,4,3,2,1,9,6,5]
[4,5,6,9,1,2,3,7,10,8]=>[8,10,7,3,2,1,9,6,5,4]
[3,4,5,6,9,1,2,7,10,8]=>[8,10,7,2,1,9,6,5,4,3]
[2,3,4,5,6,9,1,7,10,8]=>[8,10,7,1,9,6,5,4,3,2]
[7,1,10,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,10,1,7]
[6,7,9,1,2,3,4,5,10,8]=>[8,10,5,4,3,2,1,9,7,6]
[2,8,1,9,10,3,4,5,6,7]=>[7,6,5,4,3,10,9,1,8,2]
[8,7,1,10,2,3,4,5,6,9]=>[9,6,5,4,3,2,10,1,7,8]
[1,5,2,8,6,3,10,9,7,4]=>[4,7,9,10,3,6,8,2,5,1]
[4,1,5,2,8,6,3,10,9,7]=>[7,9,10,3,6,8,2,5,1,4]
[1,7,5,2,8,6,3,10,9,4]=>[4,9,10,3,6,8,2,5,7,1]
[4,1,7,5,2,8,3,10,9,6]=>[6,9,10,3,8,2,5,7,1,4]
[6,4,1,7,5,2,8,3,10,9]=>[9,10,3,8,2,5,7,1,4,6]
[3,4,1,7,2,8,5,10,9,6]=>[6,9,10,5,8,2,7,1,4,3]
[3,6,4,1,7,2,8,5,10,9]=>[9,10,5,8,2,7,1,4,6,3]
[1,5,2,9,8,6,3,10,7,4]=>[4,7,10,3,6,8,9,2,5,1]
[4,1,5,2,9,8,6,3,10,7]=>[7,10,3,6,8,9,2,5,1,4]
[1,7,5,2,9,6,3,10,8,4]=>[4,8,10,3,6,9,2,5,7,1]
[4,1,7,5,2,9,3,10,8,6]=>[6,8,10,3,9,2,5,7,1,4]
[4,1,9,6,5,2,7,3,10,8]=>[8,10,3,7,2,5,6,9,1,4]
[3,4,1,7,2,9,5,10,8,6]=>[6,8,10,5,9,2,7,1,4,3]
[3,6,1,9,4,2,7,5,10,8]=>[8,10,5,7,2,4,9,1,6,3]
[1,8,7,5,2,9,6,3,10,4]=>[4,10,3,6,9,2,5,7,8,1]
[4,1,8,7,5,2,9,3,10,6]=>[6,10,3,9,2,5,7,8,1,4]
[6,4,1,8,5,2,9,3,10,7]=>[7,10,3,9,2,5,8,1,4,6]
[7,6,4,1,8,5,2,9,3,10]=>[10,3,9,2,5,8,1,4,6,7]
[3,4,1,8,7,2,9,5,10,6]=>[6,10,5,9,2,7,8,1,4,3]
[3,6,4,1,8,2,9,5,10,7]=>[7,10,5,9,2,8,1,4,6,3]
[3,7,6,4,1,8,2,9,5,10]=>[10,5,9,2,8,1,4,6,7,3]
[1,9,6,5,2,7,3,10,8,4]=>[4,8,10,3,7,2,5,6,9,1]
[6,1,9,4,2,7,3,10,8,5]=>[5,8,10,3,7,2,4,9,1,6]
[5,4,1,9,6,2,7,3,10,8]=>[8,10,3,7,2,6,9,1,4,5]
[9,3,1,6,2,7,4,10,8,5]=>[5,8,10,4,7,2,6,1,3,9]
[9,5,3,1,6,2,7,4,10,8]=>[8,10,4,7,2,6,1,3,5,9]
[6,1,8,5,2,9,7,3,10,4]=>[4,10,3,7,9,2,5,8,1,6]
[6,4,1,8,2,9,7,3,10,5]=>[5,10,3,7,9,2,8,1,4,6]
[8,5,4,1,6,2,9,3,10,7]=>[7,10,3,9,2,6,1,4,5,8]
[5,7,4,1,8,6,2,9,3,10]=>[10,3,9,2,6,8,1,4,7,5]
[3,6,1,8,2,9,7,4,10,5]=>[5,10,4,7,9,2,8,1,6,3]
[5,8,3,1,6,2,9,4,10,7]=>[7,10,4,9,2,6,1,3,8,5]
[5,3,7,1,8,6,2,9,4,10]=>[10,4,9,2,6,8,1,7,3,5]
[4,3,8,1,9,5,2,6,10,7]=>[7,10,6,2,5,9,1,8,3,4]
[7,4,3,5,1,8,2,9,6,10]=>[10,6,9,2,8,1,5,3,4,7]
[9,6,2,1,3,7,4,10,8,5]=>[5,8,10,4,7,3,1,2,6,9]
[5,9,2,1,6,3,7,4,10,8]=>[8,10,4,7,3,6,1,2,9,5]
[6,8,2,1,3,9,7,4,10,5]=>[5,10,4,7,9,3,1,2,8,6]
[8,2,5,1,6,3,9,4,10,7]=>[7,10,4,9,3,6,1,5,2,8]
[2,5,7,1,8,6,3,9,4,10]=>[10,4,9,3,6,8,1,7,5,2]
[2,4,8,1,9,5,3,6,10,7]=>[7,10,6,3,5,9,1,8,4,2]
[5,6,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,6,5]
[6,7,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,7,6]
[7,8,10,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,10,8,7]
[8,7,9,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,9,7,8]
[4,3,1,6,2,8,5,10,7,9]=>[9,7,10,5,8,2,6,1,3,4]
[6,3,1,5,2,8,4,10,7,9]=>[9,7,10,4,8,2,5,1,3,6]
[8,3,1,5,2,7,4,10,6,9]=>[9,6,10,4,7,2,5,1,3,8]
[9,3,1,5,2,7,4,6,10,8]=>[8,10,6,4,7,2,5,1,3,9]
[7,3,1,5,2,4,9,6,10,8]=>[8,10,6,9,4,2,5,1,3,7]
[5,3,1,2,7,4,9,6,10,8]=>[8,10,6,9,4,7,2,1,3,5]
[8,3,1,5,6,2,4,10,7,9]=>[9,7,10,4,2,6,5,1,3,8]
[10,3,1,5,2,7,8,4,6,9]=>[9,6,4,8,7,2,5,1,3,10]
[8,3,1,5,2,7,4,9,10,6]=>[6,10,9,4,7,2,5,1,3,8]
[10,3,1,5,2,7,4,6,8,9]=>[9,8,6,4,7,2,5,1,3,10]
[7,3,1,5,2,4,10,9,6,8]=>[8,6,9,10,4,2,5,1,3,7]
[5,3,1,2,9,7,4,6,10,8]=>[8,10,6,4,7,9,2,1,3,5]
[3,1,7,5,2,4,9,6,10,8]=>[8,10,6,9,4,2,5,7,1,3]
[10,9,8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8,9,10]
[10,9,8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8,9,10]
[10,9,4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4,9,10]
[10,3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3,10]
[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]
[9,10,2,1,6,4,3,5,7,8]=>[8,7,5,3,4,6,1,2,10,9]
[7,10,2,1,8,4,3,5,6,9]=>[9,6,5,3,4,8,1,2,10,7]
[2,9,1,10,7,4,3,5,6,8]=>[8,6,5,3,4,7,10,1,9,2]
[2,8,1,9,4,3,10,5,6,7]=>[7,6,5,10,3,4,9,1,8,2]
[10,8,5,2,1,6,3,4,7,9]=>[9,7,4,3,6,1,2,5,8,10]
[9,5,2,1,10,6,3,4,7,8]=>[8,7,4,3,6,10,1,2,5,9]
[10,7,2,1,8,5,3,4,6,9]=>[9,6,4,3,5,8,1,2,7,10]
[9,2,1,10,7,5,3,4,6,8]=>[8,6,4,3,5,7,10,1,2,9]
[2,8,1,9,3,10,5,4,6,7]=>[7,6,4,5,10,3,9,1,8,2]
[10,6,2,1,7,3,8,4,5,9]=>[9,5,4,8,3,7,1,2,6,10]
[9,2,1,10,6,3,7,4,5,8]=>[8,5,4,7,3,6,10,1,2,9]
[8,2,1,9,3,10,6,4,5,7]=>[7,5,4,6,10,3,9,1,2,8]
[7,2,1,8,3,9,4,10,5,6]=>[6,5,10,4,9,3,8,1,2,7]
[10,8,6,3,1,4,2,5,7,9]=>[9,7,5,2,4,1,3,6,8,10]
[3,9,1,10,6,4,2,5,7,8]=>[8,7,5,2,4,6,10,1,9,3]
[10,7,3,1,8,4,2,5,6,9]=>[9,6,5,2,4,8,1,3,7,10]
[9,3,1,10,7,4,2,5,6,8]=>[8,6,5,2,4,7,10,1,3,9]
[8,3,1,9,4,2,10,5,6,7]=>[7,6,5,10,2,4,9,1,3,8]
[10,8,5,1,6,3,2,4,7,9]=>[9,7,4,2,3,6,1,5,8,10]
[9,5,1,10,6,3,2,4,7,8]=>[8,7,4,2,3,6,10,1,5,9]
[10,7,1,8,5,3,2,4,6,9]=>[9,6,4,2,3,5,8,1,7,10]
[9,1,10,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,10,1,9]
[8,3,1,9,2,10,5,4,6,7]=>[7,6,4,5,10,2,9,1,3,8]
[10,6,1,7,3,2,8,4,5,9]=>[9,5,4,8,2,3,7,1,6,10]
[9,1,10,6,3,2,7,4,5,8]=>[8,5,4,7,2,3,6,10,1,9]
[8,1,9,3,2,10,6,4,5,7]=>[7,5,4,6,10,2,3,9,1,8]
[7,1,8,3,2,9,4,10,5,6]=>[6,5,10,4,9,2,3,8,1,7]
[10,8,4,1,5,2,6,3,7,9]=>[9,7,3,6,2,5,1,4,8,10]
[9,4,1,10,5,2,6,3,7,8]=>[8,7,3,6,2,5,10,1,4,9]
[10,7,1,8,4,2,5,3,6,9]=>[9,6,3,5,2,4,8,1,7,10]
[9,1,10,7,4,2,5,3,6,8]=>[8,6,3,5,2,4,7,10,1,9]
[8,1,9,4,2,10,5,3,6,7]=>[7,6,3,5,10,2,4,9,1,8]
[10,6,1,7,2,8,4,3,5,9]=>[9,5,3,4,8,2,7,1,6,10]
[9,1,10,6,2,7,4,3,5,8]=>[8,5,3,4,7,2,6,10,1,9]
[8,1,9,2,10,6,4,3,5,7]=>[7,5,3,4,6,10,2,9,1,8]
[7,1,8,2,9,4,3,10,5,6]=>[6,5,10,3,4,9,2,8,1,7]
[10,5,1,6,2,7,3,8,4,9]=>[9,4,8,3,7,2,6,1,5,10]
[9,1,10,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,10,1,9]
[8,1,9,2,10,5,3,6,4,7]=>[7,4,6,3,5,10,2,9,1,8]
[7,1,8,2,9,3,10,5,4,6]=>[6,4,5,10,3,9,2,8,1,7]
[2,1,9,10,3,4,5,6,7,8]=>[8,7,6,5,4,3,10,9,1,2]
[4,2,1,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,1,2,4]
[6,2,4,1,3,5,8,7,10,9]=>[9,10,7,8,5,3,1,4,2,6]
[8,2,4,1,6,3,5,7,10,9]=>[9,10,7,5,3,6,1,4,2,8]
[10,2,4,1,6,3,8,5,7,9]=>[9,7,5,8,3,6,1,4,2,10]
[9,2,4,1,6,3,8,5,7,10]=>[10,7,5,8,3,6,1,4,2,9]
[7,2,4,1,6,3,5,9,8,10]=>[10,8,9,5,3,6,1,4,2,7]
[5,2,4,1,3,7,6,9,8,10]=>[10,8,9,6,7,3,1,4,2,5]
[10,2,3,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,3,2,10]
[10,9,8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8,9,10]
[10,9,8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8,9,10]
[10,9,8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8,9,10]
[10,1,2,3,4,5,8,6,9,7]=>[7,9,6,8,5,4,3,2,1,10]
[9,1,2,3,4,7,5,6,10,8]=>[8,10,6,5,7,4,3,2,1,9]
[9,1,2,3,6,4,5,7,10,8]=>[8,10,7,5,4,6,3,2,1,9]
[10,1,2,5,3,4,6,7,9,8]=>[8,9,7,6,4,3,5,2,1,10]
[9,1,4,2,3,5,6,7,10,8]=>[8,10,7,6,5,3,2,4,1,9]
[1,9,2,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,2,9,1]
[2,1,10,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,10,1,2]
[1,4,9,2,3,5,6,7,10,8]=>[8,10,7,6,5,3,2,9,4,1]
[8,1,3,4,5,6,9,7,10,2]=>[2,10,7,9,6,5,4,3,1,8]
[4,1,5,10,2,3,6,7,9,8]=>[8,9,7,6,3,2,10,5,1,4]
[3,9,10,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,10,9,3]
[1,3,5,8,9,7,10,6,4,2]=>[2,4,6,10,7,9,8,5,3,1]
[1,3,6,7,5,9,10,8,4,2]=>[2,4,8,10,9,5,7,6,3,1]
[1,3,6,8,9,7,5,10,4,2]=>[2,4,10,5,7,9,8,6,3,1]
[1,3,7,8,6,9,5,10,4,2]=>[2,4,10,5,9,6,8,7,3,1]
[1,4,5,3,7,9,10,8,6,2]=>[2,6,8,10,9,7,3,5,4,1]
[1,4,5,3,8,9,7,10,6,2]=>[2,6,10,7,9,8,3,5,4,1]
[1,4,6,7,5,3,9,10,8,2]=>[2,8,10,9,3,5,7,6,4,1]
[1,5,6,4,7,3,9,10,8,2]=>[2,8,10,9,3,7,4,6,5,1]
[1,4,6,8,9,7,5,3,10,2]=>[2,10,3,5,7,9,8,6,4,1]
[1,4,7,8,6,9,5,3,10,2]=>[2,10,3,5,9,6,8,7,4,1]
[1,5,6,4,8,9,7,3,10,2]=>[2,10,3,7,9,8,4,6,5,1]
[1,5,7,8,6,4,9,3,10,2]=>[2,10,3,9,4,6,8,7,5,1]
[2,3,1,5,7,9,10,8,6,4]=>[4,6,8,10,9,7,5,1,3,2]
[2,3,1,5,8,9,7,10,6,4]=>[4,6,10,7,9,8,5,1,3,2]
[2,3,1,6,7,5,9,10,8,4]=>[4,8,10,9,5,7,6,1,3,2]
[2,3,1,6,8,9,7,5,10,4]=>[4,10,5,7,9,8,6,1,3,2]
[2,3,1,7,8,6,9,5,10,4]=>[4,10,5,9,6,8,7,1,3,2]
[2,4,5,3,1,7,9,10,8,6]=>[6,8,10,9,7,1,3,5,4,2]
[2,4,5,3,1,8,9,7,10,6]=>[6,10,7,9,8,1,3,5,4,2]
[3,4,2,5,1,7,9,10,8,6]=>[6,8,10,9,7,1,5,2,4,3]
[3,4,2,5,1,8,9,7,10,6]=>[6,10,7,9,8,1,5,2,4,3]
[2,4,6,7,5,3,1,9,10,8]=>[8,10,9,1,3,5,7,6,4,2]
[2,5,6,4,7,3,1,9,10,8]=>[8,10,9,1,3,7,4,6,5,2]
[3,4,2,6,7,5,1,9,10,8]=>[8,10,9,1,5,7,6,2,4,3]
[3,5,6,4,2,7,1,9,10,8]=>[8,10,9,1,7,2,4,6,5,3]
[4,5,3,6,2,7,1,9,10,8]=>[8,10,9,1,7,2,6,3,5,4]
[2,4,6,8,9,7,5,3,1,10]=>[10,1,3,5,7,9,8,6,4,2]
[2,4,7,8,6,9,5,3,1,10]=>[10,1,3,5,9,6,8,7,4,2]
[2,5,6,4,8,9,7,3,1,10]=>[10,1,3,7,9,8,4,6,5,2]
[2,5,7,8,6,4,9,3,1,10]=>[10,1,3,9,4,6,8,7,5,2]
[2,6,7,5,8,4,9,3,1,10]=>[10,1,3,9,4,8,5,7,6,2]
[3,4,2,6,8,9,7,5,1,10]=>[10,1,5,7,9,8,6,2,4,3]
[3,4,2,7,8,6,9,5,1,10]=>[10,1,5,9,6,8,7,2,4,3]
[3,5,6,4,2,8,9,7,1,10]=>[10,1,7,9,8,2,4,6,5,3]
[4,5,3,6,2,8,9,7,1,10]=>[10,1,7,9,8,2,6,3,5,4]
[3,5,7,8,6,4,2,9,1,10]=>[10,1,9,2,4,6,8,7,5,3]
[3,6,7,5,8,4,2,9,1,10]=>[10,1,9,2,4,8,5,7,6,3]
[4,5,3,7,8,6,2,9,1,10]=>[10,1,9,2,6,8,7,3,5,4]
[4,6,7,5,3,8,2,9,1,10]=>[10,1,9,2,8,3,5,7,6,4]
[9,10,1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1,10,9]
[1,10,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,10,1]
[8,9,10,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,10,9,8]
[1,9,10,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,10,9,1]
[10,1,9,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,9,1,10]
[1,2,10,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,10,2,1]
[1,8,9,10,2,4,5,6,7,3]=>[3,7,6,5,4,2,10,9,8,1]
[10,1,8,9,2,4,5,6,7,3]=>[3,7,6,5,4,2,9,8,1,10]
[1,2,9,10,3,5,6,7,8,4]=>[4,8,7,6,5,3,10,9,2,1]
[1,10,2,9,3,5,6,7,8,4]=>[4,8,7,6,5,3,9,2,10,1]
[1,2,3,10,4,6,7,8,9,5]=>[5,9,8,7,6,4,10,3,2,1]
[10,1,7,8,9,2,4,5,6,3]=>[3,6,5,4,2,9,8,7,1,10]
[1,2,8,9,10,3,5,6,7,4]=>[4,7,6,5,3,10,9,8,2,1]
[9,10,1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1,10,9]
[1,2,3,9,10,4,6,7,8,5]=>[5,8,7,6,4,10,9,3,2,1]
[10,1,9,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,9,1,10]
[1,2,10,3,9,4,6,7,8,5]=>[5,8,7,6,4,9,3,10,2,1]
[1,2,3,4,10,5,7,8,9,6]=>[6,9,8,7,5,10,4,3,2,1]
[1,9,10,2,7,8,3,5,6,4]=>[4,6,5,3,8,7,2,10,9,1]
[10,1,9,2,7,8,3,5,6,4]=>[4,6,5,3,8,7,2,9,1,10]
[1,2,10,3,8,9,4,6,7,5]=>[5,7,6,4,9,8,3,10,2,1]
[1,2,3,4,9,10,5,7,8,6]=>[6,8,7,5,10,9,4,3,2,1]
[1,10,2,9,3,8,4,6,7,5]=>[5,7,6,4,8,3,9,2,10,1]
[1,2,3,10,4,9,5,7,8,6]=>[6,8,7,5,9,4,10,3,2,1]
[1,2,3,4,5,10,6,8,9,7]=>[7,9,8,6,10,5,4,3,2,1]
[1,2,3,4,10,5,9,6,8,7]=>[7,8,6,9,5,10,4,3,2,1]
[1,2,3,4,5,6,10,7,9,8]=>[8,9,7,10,6,5,4,3,2,1]
[9,8,7,5,4,6,3,2,1,10]=>[10,1,2,3,6,4,5,7,8,9]
[10,8,9,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,9,8,10]
[10,9,7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7,9,10]
[10,9,7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7,9,10]
[10,8,9,6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6,9,8,10]
[8,9,1,2,3,4,5,10,6,7]=>[7,6,10,5,4,3,2,1,9,8]
[3,9,10,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,10,9,3]
[1,3,4,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,4,3,1]
[1,2,4,5,6,3,7,8,9,10]=>[10,9,8,7,3,6,5,4,2,1]
[1,2,3,5,6,7,8,4,9,10]=>[10,9,4,8,7,6,5,3,2,1]
[2,1,5,3,6,7,4,8,9,10]=>[10,9,8,4,7,6,3,5,1,2]
[1,3,5,6,4,2,7,8,9,10]=>[10,9,8,7,2,4,6,5,3,1]
[3,5,2,1,6,4,7,8,9,10]=>[10,9,8,7,4,6,1,2,5,3]
[2,1,3,6,4,7,8,9,5,10]=>[10,5,9,8,7,4,6,3,1,2]
[1,3,4,6,7,2,8,5,9,10]=>[10,9,5,8,2,7,6,4,3,1]
[3,2,6,1,4,7,8,5,9,10]=>[10,9,5,8,7,4,1,6,2,3]
[2,4,6,1,7,5,3,8,9,10]=>[10,9,8,3,5,7,1,6,4,2]
[4,6,3,2,1,7,5,8,9,10]=>[10,9,8,5,7,1,2,3,6,4]
[1,3,4,2,7,8,5,9,10,6]=>[6,10,9,5,8,7,2,4,3,1]
[3,2,1,7,4,5,8,9,10,6]=>[6,10,9,8,5,4,7,1,2,3]
[1,2,4,5,7,8,9,6,3,10]=>[10,3,6,9,8,7,5,4,2,1]
[4,3,7,2,1,5,8,9,6,10]=>[10,6,9,8,5,1,2,7,3,4]
[1,3,5,7,8,6,4,2,9,10]=>[10,9,2,4,6,8,7,5,3,1]
[3,5,7,2,1,8,6,4,9,10]=>[10,9,4,6,8,1,2,7,5,3]
[5,7,4,3,2,1,8,6,9,10]=>[10,9,6,8,1,2,3,4,7,5]
[2,1,5,3,8,6,9,10,7,4]=>[4,7,10,9,6,8,3,5,1,2]
[1,3,5,6,8,9,4,2,10,7]=>[7,10,2,4,9,8,6,5,3,1]
[3,5,2,8,1,6,9,4,10,7]=>[7,10,4,9,6,1,8,2,5,3]
[5,4,8,3,2,1,6,9,10,7]=>[7,10,9,6,1,2,3,8,4,5]
[2,4,6,8,1,9,7,5,3,10]=>[10,3,5,7,9,1,8,6,4,2]
[4,6,8,3,2,1,9,7,5,10]=>[10,5,7,9,1,2,3,8,6,4]
[6,8,5,4,3,2,1,9,7,10]=>[10,7,9,1,2,3,4,5,8,6]
[3,5,7,9,2,1,10,8,6,4]=>[4,6,8,10,1,2,9,7,5,3]
[5,7,9,4,3,2,1,10,8,6]=>[6,8,10,1,2,3,4,9,7,5]
[7,9,6,5,4,3,2,1,10,8]=>[8,10,1,2,3,4,5,6,9,7]
[6,5,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,5,6]
[1,7,6,5,8,4,9,3,10,2]=>[2,10,3,9,4,8,5,6,7,1]
[2,3,7,5,6,1,10,9,4,8]=>[8,4,9,10,1,6,5,7,3,2]
[2,3,4,10,6,9,8,5,1,7]=>[7,1,5,8,9,6,10,4,3,2]
[2,3,6,5,9,10,8,4,1,7]=>[7,1,4,8,10,9,5,6,3,2]
[2,3,9,5,8,7,4,1,10,6]=>[6,10,1,4,7,8,5,9,3,2]
[2,5,4,9,6,10,8,3,1,7]=>[7,1,3,8,10,6,9,4,5,2]
[2,5,4,8,9,7,3,1,10,6]=>[6,10,1,3,7,9,8,4,5,2]
[2,3,4,10,6,7,1,9,8,5]=>[5,8,9,1,7,6,10,4,3,2]
[2,3,7,5,6,1,10,9,8,4]=>[4,8,9,10,1,6,5,7,3,2]
[2,3,4,10,6,8,9,1,7,5]=>[5,7,1,9,8,6,10,4,3,2]
[2,3,6,5,8,10,9,1,7,4]=>[4,7,1,9,10,8,5,6,3,2]
[2,3,8,5,7,9,1,10,6,4]=>[4,6,10,1,9,7,5,8,3,2]
[2,5,4,8,6,10,9,1,7,3]=>[3,7,1,9,10,6,8,4,5,2]
[2,5,4,7,8,9,1,10,6,3]=>[3,6,10,1,9,8,7,4,5,2]
[2,3,4,10,6,9,8,7,5,1]=>[1,5,7,8,9,6,10,4,3,2]
[2,3,6,5,9,10,8,7,4,1]=>[1,4,7,8,10,9,5,6,3,2]
[2,3,7,5,9,8,10,6,4,1]=>[1,4,6,10,8,9,5,7,3,2]
[2,3,9,5,8,7,6,4,1,10]=>[10,1,4,6,7,8,5,9,3,2]
[2,5,4,9,6,10,8,7,3,1]=>[1,3,7,8,10,6,9,4,5,2]
[2,5,4,9,7,8,10,6,3,1]=>[1,3,6,10,8,7,9,4,5,2]
[2,5,4,8,9,7,6,3,1,10]=>[10,1,3,6,7,9,8,4,5,2]
[2,3,4,10,7,9,8,1,6,5]=>[5,6,1,8,9,7,10,4,3,2]
[2,3,5,7,10,9,8,1,6,4]=>[4,6,1,8,9,10,7,5,3,2]
[2,3,8,6,9,7,1,10,5,4]=>[4,5,10,1,7,9,6,8,3,2]
[2,4,7,5,10,9,8,1,6,3]=>[3,6,1,8,9,10,5,7,4,2]
[2,4,6,8,9,7,1,10,5,3]=>[3,5,10,1,7,9,8,6,4,2]
[2,3,4,10,7,8,9,6,5,1]=>[1,5,6,9,8,7,10,4,3,2]
[2,3,5,7,10,8,9,6,4,1]=>[1,4,6,9,8,10,7,5,3,2]
[2,3,7,6,8,9,10,5,4,1]=>[1,4,5,10,9,8,6,7,3,2]
[2,3,9,6,7,8,5,4,1,10]=>[10,1,4,5,8,7,6,9,3,2]
[2,4,7,5,10,8,9,6,3,1]=>[1,3,6,9,8,10,5,7,4,2]
[2,4,6,7,8,9,10,5,3,1]=>[1,3,5,10,9,8,7,6,4,2]
[2,4,6,9,7,8,5,3,1,10]=>[10,1,3,5,8,7,9,6,4,2]
[2,6,5,8,9,7,10,4,3,1]=>[1,3,4,10,7,9,8,5,6,2]
[2,6,5,7,8,9,4,3,1,10]=>[10,1,3,4,9,8,7,5,6,2]
[3,7,4,5,10,9,8,1,6,2]=>[2,6,1,8,9,10,5,4,7,3]
[3,6,4,8,9,7,1,10,5,2]=>[2,5,10,1,7,9,8,4,6,3]
[3,7,4,5,10,8,9,6,2,1]=>[1,2,6,9,8,10,5,4,7,3]
[3,6,4,7,8,9,10,5,2,1]=>[1,2,5,10,9,8,7,4,6,3]
[3,6,4,9,7,8,5,2,1,10]=>[10,1,2,5,8,7,9,4,6,3]
[3,5,6,8,9,7,10,4,2,1]=>[1,2,4,10,7,9,8,6,5,3]
[3,5,6,7,8,9,4,2,1,10]=>[10,1,2,4,9,8,7,6,5,3]
[4,3,2,7,6,5,1,9,8,10]=>[10,8,9,1,5,6,7,2,3,4]
[4,3,2,1,7,6,9,8,5,10]=>[10,5,8,9,6,7,1,2,3,4]
[4,3,2,7,6,1,9,8,5,10]=>[10,5,8,9,1,6,7,2,3,4]
[4,3,2,7,6,9,8,5,1,10]=>[10,1,5,8,9,6,7,2,3,4]
[4,3,7,6,2,1,9,8,5,10]=>[10,5,8,9,1,2,6,7,3,4]
[4,3,7,6,2,9,8,5,1,10]=>[10,1,5,8,9,2,6,7,3,4]
[4,3,2,1,7,6,5,9,10,8]=>[8,10,9,5,6,7,1,2,3,4]
[4,3,2,7,6,5,1,9,10,8]=>[8,10,9,1,5,6,7,2,3,4]
[4,3,2,1,7,6,9,5,10,8]=>[8,10,5,9,6,7,1,2,3,4]
[4,3,2,7,6,1,9,5,10,8]=>[8,10,5,9,1,6,7,2,3,4]
[4,3,2,7,6,9,5,1,10,8]=>[8,10,1,5,9,6,7,2,3,4]
[4,3,7,6,2,1,9,5,10,8]=>[8,10,5,9,1,2,6,7,3,4]
[4,3,7,6,2,9,5,1,10,8]=>[8,10,1,5,9,2,6,7,3,4]
[4,3,2,1,7,6,9,10,8,5]=>[5,8,10,9,6,7,1,2,3,4]
[4,3,2,7,6,1,9,10,8,5]=>[5,8,10,9,1,6,7,2,3,4]
[4,3,2,7,6,9,1,10,8,5]=>[5,8,10,1,9,6,7,2,3,4]
[4,3,2,7,6,9,10,8,5,1]=>[1,5,8,10,9,6,7,2,3,4]
[4,3,7,6,2,1,9,10,8,5]=>[5,8,10,9,1,2,6,7,3,4]
[4,3,7,6,2,9,1,10,8,5]=>[5,8,10,1,9,2,6,7,3,4]
[4,3,7,6,2,9,10,8,5,1]=>[1,5,8,10,9,2,6,7,3,4]
[4,3,2,1,7,9,6,5,10,8]=>[8,10,5,6,9,7,1,2,3,4]
[4,3,2,7,1,9,6,5,10,8]=>[8,10,5,6,9,1,7,2,3,4]
[4,3,2,7,9,6,5,1,10,8]=>[8,10,1,5,6,9,7,2,3,4]
[4,3,7,2,1,9,6,5,10,8]=>[8,10,5,6,9,1,2,7,3,4]
[4,3,7,2,9,6,5,1,10,8]=>[8,10,1,5,6,9,2,7,3,4]
[4,3,2,1,7,9,6,10,8,5]=>[5,8,10,6,9,7,1,2,3,4]
[4,3,2,7,1,9,6,10,8,5]=>[5,8,10,6,9,1,7,2,3,4]
[4,3,2,7,9,6,1,10,8,5]=>[5,8,10,1,6,9,7,2,3,4]
[4,3,2,7,9,6,10,8,5,1]=>[1,5,8,10,6,9,7,2,3,4]
[4,3,7,2,1,9,6,10,8,5]=>[5,8,10,6,9,1,2,7,3,4]
[4,3,7,2,9,6,1,10,8,5]=>[5,8,10,1,6,9,2,7,3,4]
[4,3,7,2,9,6,10,8,5,1]=>[1,5,8,10,6,9,2,7,3,4]
[4,3,7,9,6,2,1,10,8,5]=>[5,8,10,1,2,6,9,7,3,4]
[4,3,7,9,6,2,10,8,5,1]=>[1,5,8,10,2,6,9,7,3,4]
[4,7,3,2,1,9,6,5,10,8]=>[8,10,5,6,9,1,2,3,7,4]
[4,7,3,2,9,6,5,1,10,8]=>[8,10,1,5,6,9,2,3,7,4]
[4,7,3,2,1,9,6,10,8,5]=>[5,8,10,6,9,1,2,3,7,4]
[4,7,3,2,9,6,1,10,8,5]=>[5,8,10,1,6,9,2,3,7,4]
[4,7,3,2,9,6,10,8,5,1]=>[1,5,8,10,6,9,2,3,7,4]
[4,7,3,9,6,2,1,10,8,5]=>[5,8,10,1,2,6,9,3,7,4]
[5,6,4,7,3,9,1,8,2,10]=>[10,2,8,1,9,3,7,4,6,5]
[1,6,7,5,8,4,10,2,9,3]=>[3,9,2,10,4,8,5,7,6,1]
[1,9,2,8,3,7,4,5,6,10]=>[10,6,5,4,7,3,8,2,9,1]
[1,2,10,3,9,4,8,5,6,7]=>[7,6,5,8,4,9,3,10,2,1]
[4,5,6,7,8,9,1,10,2,3]=>[3,2,10,1,9,8,7,6,5,4]
[3,2,5,4,7,6,8,10,9,1]=>[1,9,10,8,6,7,4,5,2,3]
[3,2,5,4,6,9,7,8,10,1]=>[1,10,8,7,9,6,4,5,2,3]
[3,2,5,4,6,8,7,10,9,1]=>[1,9,10,7,8,6,4,5,2,3]
[3,2,5,4,6,7,10,8,9,1]=>[1,9,8,10,7,6,4,5,2,3]
[3,2,4,7,5,6,9,8,10,1]=>[1,10,8,9,6,5,7,4,2,3]
[3,2,4,7,5,6,8,10,9,1]=>[1,9,10,8,6,5,7,4,2,3]
[3,2,4,6,5,9,7,8,10,1]=>[1,10,8,7,9,5,6,4,2,3]
[3,2,4,6,5,8,7,10,9,1]=>[1,9,10,7,8,5,6,4,2,3]
[3,2,4,6,5,7,10,8,9,1]=>[1,9,8,10,7,5,6,4,2,3]
[3,2,4,5,9,6,7,8,10,1]=>[1,10,8,7,6,9,5,4,2,3]
[3,2,4,5,8,6,7,10,9,1]=>[1,9,10,7,6,8,5,4,2,3]
[3,2,4,5,7,6,10,8,9,1]=>[1,9,8,10,6,7,5,4,2,3]
[3,2,4,5,6,10,7,8,9,1]=>[1,9,8,7,10,6,5,4,2,3]
[2,5,3,4,7,6,9,8,10,1]=>[1,10,8,9,6,7,4,3,5,2]
[2,5,3,4,7,6,8,10,9,1]=>[1,9,10,8,6,7,4,3,5,2]
[2,5,3,4,6,9,7,8,10,1]=>[1,10,8,7,9,6,4,3,5,2]
[2,5,3,4,6,8,7,10,9,1]=>[1,9,10,7,8,6,4,3,5,2]
[2,5,3,4,6,7,10,8,9,1]=>[1,9,8,10,7,6,4,3,5,2]
[2,4,3,7,5,6,9,8,10,1]=>[1,10,8,9,6,5,7,3,4,2]
[2,4,3,7,5,6,8,10,9,1]=>[1,9,10,8,6,5,7,3,4,2]
[2,4,3,6,5,9,7,8,10,1]=>[1,10,8,7,9,5,6,3,4,2]
[2,4,3,6,5,7,10,8,9,1]=>[1,9,8,10,7,5,6,3,4,2]
[2,4,3,5,9,6,7,8,10,1]=>[1,10,8,7,6,9,5,3,4,2]
[2,4,3,5,8,6,7,10,9,1]=>[1,9,10,7,6,8,5,3,4,2]
[2,4,3,5,7,6,10,8,9,1]=>[1,9,8,10,6,7,5,3,4,2]
[2,4,3,5,6,10,7,8,9,1]=>[1,9,8,7,10,6,5,3,4,2]
[2,3,7,4,5,6,9,8,10,1]=>[1,10,8,9,6,5,4,7,3,2]
[2,3,7,4,5,6,8,10,9,1]=>[1,9,10,8,6,5,4,7,3,2]
[2,3,6,4,5,9,7,8,10,1]=>[1,10,8,7,9,5,4,6,3,2]
[2,3,6,4,5,8,7,10,9,1]=>[1,9,10,7,8,5,4,6,3,2]
[2,3,6,4,5,7,10,8,9,1]=>[1,9,8,10,7,5,4,6,3,2]
[2,3,5,4,9,6,7,8,10,1]=>[1,10,8,7,6,9,4,5,3,2]
[2,3,5,4,8,6,7,10,9,1]=>[1,9,10,7,6,8,4,5,3,2]
[2,3,5,4,7,6,10,8,9,1]=>[1,9,8,10,6,7,4,5,3,2]
[2,3,5,4,6,10,7,8,9,1]=>[1,9,8,7,10,6,4,5,3,2]
[2,3,4,9,5,6,7,8,10,1]=>[1,10,8,7,6,5,9,4,3,2]
[2,3,4,8,5,6,7,10,9,1]=>[1,9,10,7,6,5,8,4,3,2]
[2,3,4,7,5,6,10,8,9,1]=>[1,9,8,10,6,5,7,4,3,2]
[2,3,4,6,5,10,7,8,9,1]=>[1,9,8,7,10,5,6,4,3,2]
[6,2,3,7,8,1,4,9,10,5]=>[5,10,9,4,1,8,7,3,2,6]
[6,2,3,7,8,9,1,4,10,5]=>[5,10,4,1,9,8,7,3,2,6]
[6,7,2,3,8,1,4,9,10,5]=>[5,10,9,4,1,8,3,2,7,6]
[6,7,2,3,8,9,1,4,10,5]=>[5,10,4,1,9,8,3,2,7,6]
[6,7,8,2,3,9,1,4,10,5]=>[5,10,4,1,9,3,2,8,7,6]
[2,6,3,7,8,1,4,9,10,5]=>[5,10,9,4,1,8,7,3,6,2]
[2,6,3,7,8,9,1,4,10,5]=>[5,10,4,1,9,8,7,3,6,2]
[2,6,7,3,8,1,4,9,10,5]=>[5,10,9,4,1,8,3,7,6,2]
[2,6,7,3,8,9,1,4,10,5]=>[5,10,4,1,9,8,3,7,6,2]
[2,6,7,8,3,9,1,4,10,5]=>[5,10,4,1,9,3,8,7,6,2]
[6,2,7,3,8,1,4,9,10,5]=>[5,10,9,4,1,8,3,7,2,6]
[6,2,7,3,8,9,1,4,10,5]=>[5,10,4,1,9,8,3,7,2,6]
[6,2,7,8,3,9,1,4,10,5]=>[5,10,4,1,9,3,8,7,2,6]
[6,7,2,8,3,9,1,4,10,5]=>[5,10,4,1,9,3,8,2,7,6]
[6,1,2,3,7,8,4,9,10,5]=>[5,10,9,4,8,7,3,2,1,6]
[6,1,2,3,7,8,9,4,10,5]=>[5,10,4,9,8,7,3,2,1,6]
[6,7,1,2,3,8,4,9,10,5]=>[5,10,9,4,8,3,2,1,7,6]
[6,7,1,2,3,8,9,4,10,5]=>[5,10,4,9,8,3,2,1,7,6]
[2,6,1,3,7,8,4,9,10,5]=>[5,10,9,4,8,7,3,1,6,2]
[2,6,1,3,7,8,9,4,10,5]=>[5,10,4,9,8,7,3,1,6,2]
[2,6,7,1,3,8,4,9,10,5]=>[5,10,9,4,8,3,1,7,6,2]
[2,6,7,1,3,8,9,4,10,5]=>[5,10,4,9,8,3,1,7,6,2]
[2,6,7,8,1,3,9,4,10,5]=>[5,10,4,9,3,1,8,7,6,2]
[6,2,7,1,3,8,4,9,10,5]=>[5,10,9,4,8,3,1,7,2,6]
[6,2,7,1,3,8,9,4,10,5]=>[5,10,4,9,8,3,1,7,2,6]
[6,2,7,8,1,3,9,4,10,5]=>[5,10,4,9,3,1,8,7,2,6]
[6,7,2,8,1,3,9,4,10,5]=>[5,10,4,9,3,1,8,2,7,6]
[1,2,6,3,7,8,4,9,10,5]=>[5,10,9,4,8,7,3,6,2,1]
[1,2,6,3,7,8,9,4,10,5]=>[5,10,4,9,8,7,3,6,2,1]
[1,2,6,7,3,8,4,9,10,5]=>[5,10,9,4,8,3,7,6,2,1]
[1,2,6,7,3,8,9,4,10,5]=>[5,10,4,9,8,3,7,6,2,1]
[1,2,6,7,8,3,9,4,10,5]=>[5,10,4,9,3,8,7,6,2,1]
[6,1,2,7,3,8,4,9,10,5]=>[5,10,9,4,8,3,7,2,1,6]
[6,1,2,7,3,8,9,4,10,5]=>[5,10,4,9,8,3,7,2,1,6]
[6,1,2,7,8,3,9,4,10,5]=>[5,10,4,9,3,8,7,2,1,6]
[1,6,2,7,3,8,4,9,10,5]=>[5,10,9,4,8,3,7,2,6,1]
[1,6,2,7,3,8,9,4,10,5]=>[5,10,4,9,8,3,7,2,6,1]
[1,6,2,7,8,3,9,4,10,5]=>[5,10,4,9,3,8,7,2,6,1]
[1,3,4,5,6,7,2,9,10,8]=>[8,10,9,2,7,6,5,4,3,1]
[1,3,4,5,2,7,8,9,10,6]=>[6,10,9,8,7,2,5,4,3,1]
[1,3,4,2,6,7,8,9,10,5]=>[5,10,9,8,7,6,2,4,3,1]
[8,2,3,4,5,6,1,7,10,9]=>[9,10,7,1,6,5,4,3,2,8]
[7,2,3,4,5,1,6,9,10,8]=>[8,10,9,6,1,5,4,3,2,7]
[6,2,3,4,10,1,7,8,9,5]=>[5,9,8,7,1,10,4,3,2,6]
[5,2,3,1,4,7,8,9,10,6]=>[6,10,9,8,7,4,1,3,2,5]
[4,2,1,3,6,7,8,9,10,5]=>[5,10,9,8,7,6,3,1,2,4]
[3,4,5,6,2,7,8,9,10,1]=>[1,10,9,8,7,2,6,5,4,3]
[2,4,5,6,3,7,8,9,10,1]=>[1,10,9,8,7,3,6,5,4,2]
[2,3,5,6,4,7,8,9,10,1]=>[1,10,9,8,7,4,6,5,3,2]
[6,2,1,4,3,5,8,7,10,9]=>[9,10,7,8,5,3,4,1,2,6]
[8,2,1,4,3,6,5,7,10,9]=>[9,10,7,5,6,3,4,1,2,8]
[9,2,1,4,3,6,5,8,7,10]=>[10,7,8,5,6,3,4,1,2,9]
[7,2,1,4,3,6,5,9,8,10]=>[10,8,9,5,6,3,4,1,2,7]
[5,2,1,4,3,7,6,9,8,10]=>[10,8,9,6,7,3,4,1,2,5]
[9,3,10,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,10,3,9]
[10,3,1,9,2,4,5,6,7,8]=>[8,7,6,5,4,2,9,1,3,10]
[3,1,4,10,2,5,6,7,8,9]=>[9,8,7,6,5,2,10,4,1,3]
[9,8,10,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,10,8,9]
[10,7,1,2,3,4,8,9,5,6]=>[6,5,9,8,4,3,2,1,7,10]
[10,6,1,2,3,9,8,4,5,7]=>[7,5,4,8,9,3,2,1,6,10]
[7,6,1,2,3,4,8,9,10,5]=>[5,10,9,8,4,3,2,1,6,7]
[5,9,1,2,10,8,3,4,6,7]=>[7,6,4,3,8,10,2,1,9,5]
[5,6,1,2,3,10,8,9,4,7]=>[7,4,9,8,10,3,2,1,6,5]
[8,4,1,9,10,2,3,5,6,7]=>[7,6,5,3,2,10,9,1,4,8]
[5,4,1,2,10,9,8,3,6,7]=>[7,6,3,8,9,10,2,1,4,5]
[10,3,8,9,1,2,4,5,6,7]=>[7,6,5,4,2,1,9,8,3,10]
[4,3,1,9,10,8,2,5,6,7]=>[7,6,5,2,8,10,9,1,3,4]
[2,3,8,9,10,1,4,5,6,7]=>[7,6,5,4,1,10,9,8,3,2]
[6,2,3,4,5,7,8,9,10,1]=>[1,10,9,8,7,5,4,3,2,6]
[2,6,3,4,5,7,8,9,10,1]=>[1,10,9,8,7,5,4,3,6,2]
[2,3,6,4,5,7,8,9,10,1]=>[1,10,9,8,7,5,4,6,3,2]
[4,2,10,1,9,8,7,6,5,3]=>[3,5,6,7,8,9,1,10,2,4]
[5,2,10,9,1,8,7,6,4,3]=>[3,4,6,7,8,1,9,10,2,5]
[6,2,10,9,8,1,7,5,4,3]=>[3,4,5,7,1,8,9,10,2,6]
[6,10,3,9,8,1,7,5,4,2]=>[2,4,5,7,1,8,9,3,10,6]
[6,4,3,2,10,1,9,8,7,5]=>[5,7,8,9,1,10,2,3,4,6]
[7,10,3,9,8,6,1,5,4,2]=>[2,4,5,1,6,8,9,3,10,7]
[7,10,9,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,9,10,7]
[7,4,3,2,10,9,1,8,6,5]=>[5,6,8,1,9,10,2,3,4,7]
[7,5,3,10,2,9,1,8,6,4]=>[4,6,8,1,9,2,10,3,5,7]
[8,5,3,10,2,9,7,1,6,4]=>[4,6,1,7,9,2,10,3,5,8]
[8,6,10,4,9,2,7,1,5,3]=>[3,5,1,7,2,9,4,10,6,8]
[8,6,5,4,3,2,10,1,9,7]=>[7,9,1,10,2,3,4,5,6,8]
[10,2,3,4,5,6,7,1,8,9]=>[9,8,1,7,6,5,4,3,2,10]
[10,2,3,4,5,6,1,7,8,9]=>[9,8,7,1,6,5,4,3,2,10]
[10,2,3,4,5,1,6,7,8,9]=>[9,8,7,6,1,5,4,3,2,10]
[2,8,1,3,4,5,6,10,7,9]=>[9,7,10,6,5,4,3,1,8,2]
[10,7,1,2,3,4,5,9,6,8]=>[8,6,9,5,4,3,2,1,7,10]
[4,5,6,8,2,9,3,10,7,1]=>[1,7,10,3,9,2,8,6,5,4]
[10,4,5,6,9,3,8,2,7,1]=>[1,7,2,8,3,9,6,5,4,10]
[4,5,10,6,9,3,8,2,7,1]=>[1,7,2,8,3,9,6,10,5,4]
[4,5,8,2,6,10,9,3,7,1]=>[1,7,3,9,10,6,2,8,5,4]
[10,6,9,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,9,6,10]
[8,2,6,10,9,5,4,3,7,1]=>[1,7,3,4,5,9,10,6,2,8]
[8,2,10,4,5,6,7,1,9,3]=>[3,9,1,7,6,5,4,10,2,8]
[4,5,6,8,2,10,7,1,9,3]=>[3,9,1,7,10,2,8,6,5,4]
[10,4,5,6,8,2,7,1,9,3]=>[3,9,1,7,2,8,6,5,4,10]
[4,5,10,6,8,2,7,1,9,3]=>[3,9,1,7,2,8,6,10,5,4]
[4,5,10,8,2,6,7,1,9,3]=>[3,9,1,7,6,2,8,10,5,4]
[10,6,8,2,7,1,9,5,4,3]=>[3,4,5,9,1,7,2,8,6,10]
[10,8,2,6,7,1,9,5,4,3]=>[3,4,5,9,1,7,6,2,8,10]
[8,2,7,1,9,3,10,4,5,6]=>[6,5,4,10,3,9,1,7,2,8]
[4,5,8,2,7,1,9,3,10,6]=>[6,10,3,9,1,7,2,8,5,4]
[4,5,9,3,10,7,1,8,2,6]=>[6,2,8,1,7,10,3,9,5,4]
[4,5,7,1,9,3,8,2,6,10]=>[10,6,2,8,3,9,1,7,5,4]
[8,2,7,1,9,5,4,3,10,6]=>[6,10,3,4,5,9,1,7,2,8]
[9,5,4,3,10,7,1,8,2,6]=>[6,2,8,1,7,10,3,4,5,9]
[7,1,9,5,4,3,8,2,6,10]=>[10,6,2,8,3,4,5,9,1,7]
[8,2,6,10,4,5,7,1,9,3]=>[3,9,1,7,5,4,10,6,2,8]
[4,8,2,6,10,5,7,1,9,3]=>[3,9,1,7,5,10,6,2,8,4]
[4,10,8,2,5,6,7,1,9,3]=>[3,9,1,7,6,5,2,8,10,4]
[8,2,6,10,5,7,1,9,4,3]=>[3,4,9,1,7,5,10,6,2,8]
[10,8,2,5,6,7,1,9,4,3]=>[3,4,9,1,7,6,5,2,8,10]
[9,3,10,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,10,3,9]
[4,9,3,10,5,7,1,8,2,6]=>[6,2,8,1,7,5,10,3,9,4]
[4,9,3,10,7,1,8,2,5,6]=>[6,5,2,8,1,7,10,3,9,4]
[4,7,1,9,3,8,2,5,6,10]=>[10,6,5,2,8,3,9,1,7,4]
[9,4,3,10,5,7,1,8,2,6]=>[6,2,8,1,7,5,10,3,4,9]
[9,4,3,10,7,1,8,2,5,6]=>[6,5,2,8,1,7,10,3,4,9]
[7,1,9,4,3,8,2,5,6,10]=>[10,6,5,2,8,3,4,9,1,7]
[5,10,7,1,8,2,4,3,9,6]=>[6,9,3,4,2,8,1,7,10,5]
[5,7,1,8,2,4,3,9,6,10]=>[10,6,9,3,4,2,8,1,7,5]
[10,5,7,1,9,4,2,6,8,3]=>[3,8,6,2,4,9,1,7,5,10]
[9,4,2,5,6,7,1,10,8,3]=>[3,8,10,1,7,6,5,2,4,9]
[10,5,7,1,8,3,9,4,2,6]=>[6,2,4,9,3,8,1,7,5,10]
[10,7,1,8,3,9,4,2,5,6]=>[6,5,2,4,9,3,8,1,7,10]
[7,1,8,3,9,4,2,5,6,10]=>[10,6,5,2,4,9,3,8,1,7]
[4,2,5,10,7,1,8,3,9,6]=>[6,9,3,8,1,7,10,5,2,4]
[4,2,5,7,1,8,3,9,6,10]=>[10,6,9,3,8,1,7,5,2,4]
[4,5,6,7,8,9,1,2,10,3]=>[3,10,2,1,9,8,7,6,5,4]
[6,5,7,4,8,3,10,9,1,2]=>[2,1,9,10,3,8,4,7,5,6]
[6,5,7,4,9,8,2,3,10,1]=>[1,10,3,2,8,9,4,7,5,6]
[6,5,7,4,10,8,2,9,1,3]=>[3,1,9,2,8,10,4,7,5,6]
[6,5,7,4,10,9,8,1,2,3]=>[3,2,1,8,9,10,4,7,5,6]
[6,5,8,7,3,4,9,2,10,1]=>[1,10,2,9,4,3,7,8,5,6]
[6,5,8,7,3,4,10,9,1,2]=>[2,1,9,10,4,3,7,8,5,6]
[6,5,9,7,3,8,2,4,10,1]=>[1,10,4,2,8,3,7,9,5,6]
[6,5,10,7,3,8,2,9,1,4]=>[4,1,9,2,8,3,7,10,5,6]
[6,5,10,7,3,9,8,1,2,4]=>[4,2,1,8,9,3,7,10,5,6]
[6,5,9,8,7,2,3,4,10,1]=>[1,10,4,3,2,7,8,9,5,6]
[6,5,10,8,7,2,3,9,1,4]=>[4,1,9,3,2,7,8,10,5,6]
[6,5,10,9,7,2,8,1,3,4]=>[4,3,1,8,2,7,9,10,5,6]
[6,5,10,9,8,7,1,2,3,4]=>[4,3,2,1,7,8,9,10,5,6]
[7,6,4,5,8,3,9,2,10,1]=>[1,10,2,9,3,8,5,4,6,7]
[7,6,4,5,8,3,10,9,1,2]=>[2,1,9,10,3,8,5,4,6,7]
[7,6,4,5,9,8,2,3,10,1]=>[1,10,3,2,8,9,5,4,6,7]
[7,6,4,5,10,8,2,9,1,3]=>[3,1,9,2,8,10,5,4,6,7]
[7,6,4,5,10,9,8,1,2,3]=>[3,2,1,8,9,10,5,4,6,7]
[8,6,4,7,3,5,9,2,10,1]=>[1,10,2,9,5,3,7,4,6,8]
[8,6,4,7,3,5,10,9,1,2]=>[2,1,9,10,5,3,7,4,6,8]
[9,6,4,7,3,8,2,5,10,1]=>[1,10,5,2,8,3,7,4,6,9]
[10,6,4,7,3,8,2,9,1,5]=>[5,1,9,2,8,3,7,4,6,10]
[10,6,4,7,3,9,8,1,2,5]=>[5,2,1,8,9,3,7,4,6,10]
[9,6,4,8,7,2,3,5,10,1]=>[1,10,5,3,2,7,8,4,6,9]
[10,6,4,8,7,2,3,9,1,5]=>[5,1,9,3,2,7,8,4,6,10]
[10,6,4,9,7,2,8,1,3,5]=>[5,3,1,8,2,7,9,4,6,10]
[10,6,4,9,8,7,1,2,3,5]=>[5,3,2,1,7,8,9,4,6,10]
[8,7,6,3,4,5,9,2,10,1]=>[1,10,2,9,5,4,3,6,7,8]
[8,7,6,3,4,5,10,9,1,2]=>[2,1,9,10,5,4,3,6,7,8]
[9,7,6,3,4,8,2,5,10,1]=>[1,10,5,2,8,4,3,6,7,9]
[10,7,6,3,4,8,2,9,1,5]=>[5,1,9,2,8,4,3,6,7,10]
[10,7,6,3,4,9,8,1,2,5]=>[5,2,1,8,9,4,3,6,7,10]
[9,8,6,3,7,2,4,5,10,1]=>[1,10,5,4,2,7,3,6,8,9]
[10,8,6,3,7,2,4,9,1,5]=>[5,1,9,4,2,7,3,6,8,10]
[10,9,6,3,7,2,8,1,4,5]=>[5,4,1,8,2,7,3,6,9,10]
[10,9,6,3,8,7,1,2,4,5]=>[5,4,2,1,7,8,3,6,9,10]
[9,8,7,6,2,3,4,5,10,1]=>[1,10,5,4,3,2,6,7,8,9]
[10,8,7,6,2,3,4,9,1,5]=>[5,1,9,4,3,2,6,7,8,10]
[10,9,7,6,2,3,8,1,4,5]=>[5,4,1,8,3,2,6,7,9,10]
[10,9,7,3,6,1,2,4,8,5]=>[5,8,4,2,1,6,3,7,9,10]
[9,7,3,6,1,2,4,10,8,5]=>[5,8,10,4,2,1,6,3,7,9]
[7,3,10,9,6,1,2,4,8,5]=>[5,8,4,2,1,6,9,10,3,7]
[7,3,9,6,1,2,4,10,8,5]=>[5,8,10,4,2,1,6,9,3,7]
[9,6,1,2,4,10,7,3,8,5]=>[5,8,3,7,10,4,2,1,6,9]
[8,4,10,9,7,3,6,1,2,5]=>[5,2,1,6,3,7,9,10,4,8]
[10,8,4,9,7,3,6,1,2,5]=>[5,2,1,6,3,7,9,4,8,10]
[7,3,8,4,10,9,6,1,2,5]=>[5,2,1,6,9,10,4,8,3,7]
[7,3,10,8,4,9,6,1,2,5]=>[5,2,1,6,9,4,8,10,3,7]
[10,7,3,8,4,9,6,1,2,5]=>[5,2,1,6,9,4,8,3,7,10]
[6,1,2,7,3,8,4,10,9,5]=>[5,9,10,4,8,3,7,2,1,6]
[6,1,2,7,3,10,8,4,9,5]=>[5,9,4,8,10,3,7,2,1,6]
[6,1,2,10,7,3,8,4,9,5]=>[5,9,4,8,3,7,10,2,1,6]
[10,6,1,2,7,3,8,4,9,5]=>[5,9,4,8,3,7,2,1,6,10]
[6,1,3,10,9,7,2,4,8,5]=>[5,8,4,2,7,9,10,3,1,6]
[6,1,3,9,7,2,4,10,8,5]=>[5,8,10,4,2,7,9,3,1,6]
[10,9,6,1,3,7,2,4,8,5]=>[5,8,4,2,7,3,1,6,9,10]
[9,6,1,3,7,2,4,10,8,5]=>[5,8,10,4,2,7,3,1,6,9]
[10,7,2,4,9,6,1,3,8,5]=>[5,8,3,1,6,9,4,2,7,10]
[6,1,3,8,4,10,9,7,2,5]=>[5,2,7,9,10,4,8,3,1,6]
[6,1,3,10,8,4,9,7,2,5]=>[5,2,7,9,4,8,10,3,1,6]
[8,4,10,9,6,1,3,7,2,5]=>[5,2,7,3,1,6,9,10,4,8]
[10,8,4,9,6,1,3,7,2,5]=>[5,2,7,3,1,6,9,4,8,10]
[9,6,1,3,8,4,10,7,2,5]=>[5,2,7,10,4,8,3,1,6,9]
[7,2,6,1,3,8,4,10,9,5]=>[5,9,10,4,8,3,1,6,2,7]
[7,2,6,1,3,10,8,4,9,5]=>[5,9,4,8,10,3,1,6,2,7]
[10,7,2,6,1,3,8,4,9,5]=>[5,9,4,8,3,1,6,2,7,10]
[7,2,10,6,1,3,8,4,9,5]=>[5,9,4,8,3,1,6,10,2,7]
[8,3,6,1,4,10,9,7,2,5]=>[5,2,7,9,10,4,1,6,3,8]
[10,8,3,6,1,4,9,7,2,5]=>[5,2,7,9,4,1,6,3,8,10]
[10,9,6,1,4,8,3,7,2,5]=>[5,2,7,3,8,4,1,6,9,10]
[9,6,1,4,10,8,3,7,2,5]=>[5,2,7,3,8,10,4,1,6,9]
[8,3,9,6,1,4,10,7,2,5]=>[5,2,7,10,4,1,6,9,3,8]
[8,3,7,2,6,1,4,10,9,5]=>[5,9,10,4,1,6,2,7,3,8]
[10,8,3,7,2,6,1,4,9,5]=>[5,9,4,1,6,2,7,3,8,10]
[8,3,10,7,2,6,1,4,9,5]=>[5,9,4,1,6,2,7,10,3,8]
[7,2,8,3,10,6,1,4,9,5]=>[5,9,4,1,6,10,3,8,2,7]
[9,4,10,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,10,4,9]
[8,3,9,4,10,7,2,6,1,5]=>[5,1,6,2,7,10,4,9,3,8]
[7,2,8,3,9,4,10,6,1,5]=>[5,1,6,10,4,9,3,8,2,7]
[2,1,9,10,8,7,6,5,4,3]=>[3,4,5,6,7,8,10,9,1,2]
[7,6,8,5,9,4,10,3,2,1]=>[1,2,3,10,4,9,5,8,6,7]
[7,6,8,5,9,4,3,2,10,1]=>[1,10,2,3,4,9,5,8,6,7]
[7,6,8,5,10,4,2,9,3,1]=>[1,3,9,2,4,10,5,8,6,7]
[8,7,9,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,9,7,8]
[7,6,8,5,4,3,9,2,10,1]=>[1,10,2,9,3,4,5,8,6,7]
[8,7,9,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,9,7,8]
[7,6,9,5,3,8,4,2,10,1]=>[1,10,2,4,8,3,5,9,6,7]
[7,6,10,5,3,8,2,9,4,1]=>[1,4,9,2,8,3,5,10,6,7]
[8,7,10,6,4,9,5,3,2,1]=>[1,2,3,5,9,4,6,10,7,8]
[8,7,9,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,9,7,8]
[8,7,10,6,5,4,2,9,3,1]=>[1,3,9,2,4,5,6,10,7,8]
[8,7,10,9,5,2,6,4,3,1]=>[1,3,4,6,2,5,9,10,7,8]
[7,6,5,4,8,3,9,2,10,1]=>[1,10,2,9,3,8,4,5,6,7]
[8,7,6,5,9,4,10,3,2,1]=>[1,2,3,10,4,9,5,6,7,8]
[8,7,6,5,9,4,3,2,10,1]=>[1,10,2,3,4,9,5,6,7,8]
[8,7,6,5,10,4,2,9,3,1]=>[1,3,9,2,4,10,5,6,7,8]
[8,6,4,7,5,3,9,2,10,1]=>[1,10,2,9,3,5,7,4,6,8]
[9,7,5,8,6,4,10,3,2,1]=>[1,2,3,10,4,6,8,5,7,9]
[9,6,4,7,3,8,5,2,10,1]=>[1,10,2,5,8,3,7,4,6,9]
[10,6,4,7,3,8,2,9,5,1]=>[1,5,9,2,8,3,7,4,6,10]
[10,7,5,8,4,9,6,3,2,1]=>[1,2,3,6,9,4,8,5,7,10]
[9,7,5,8,6,4,3,2,10,1]=>[1,10,2,3,4,6,8,5,7,9]
[10,7,5,8,6,4,2,9,3,1]=>[1,3,9,2,4,6,8,5,7,10]
[10,7,5,9,6,2,8,4,3,1]=>[1,3,4,8,2,6,9,5,7,10]
[10,8,6,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,6,8,10]
[8,7,6,5,4,3,9,2,10,1]=>[1,10,2,9,3,4,5,6,7,8]
[9,7,6,5,3,8,4,2,10,1]=>[1,10,2,4,8,3,5,6,7,9]
[10,7,6,5,3,8,2,9,4,1]=>[1,4,9,2,8,3,5,6,7,10]
[10,8,7,6,4,9,5,3,2,1]=>[1,2,3,5,9,4,6,7,8,10]
[9,8,6,3,7,5,4,2,10,1]=>[1,10,2,4,5,7,3,6,8,9]
[10,8,6,3,7,5,2,9,4,1]=>[1,4,9,2,5,7,3,6,8,10]
[10,9,6,3,7,2,8,5,4,1]=>[1,4,5,8,2,7,3,6,9,10]
[10,9,7,4,8,6,5,3,2,1]=>[1,2,3,5,6,8,4,7,9,10]
[10,8,7,6,5,4,2,9,3,1]=>[1,3,9,2,4,5,6,7,8,10]
[10,9,7,6,5,2,8,4,3,1]=>[1,3,4,8,2,5,6,7,9,10]
[10,9,8,6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6,8,9,10]
[3,4,10,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,10,4,3]
[10,3,4,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,4,3,10]
[10,3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3,10]
[4,5,6,10,1,2,3,7,8,9]=>[9,8,7,3,2,1,10,6,5,4]
[10,4,5,6,1,2,3,7,8,9]=>[9,8,7,3,2,1,6,5,4,10]
[4,10,2,5,1,3,6,7,8,9]=>[9,8,7,6,3,1,5,2,10,4]
[10,4,2,5,1,3,6,7,8,9]=>[9,8,7,6,3,1,5,2,4,10]
[10,4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4,10]
[10,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,10]
[5,10,2,6,7,1,3,4,8,9]=>[9,8,4,3,1,7,6,2,10,5]
[10,5,2,6,7,1,3,4,8,9]=>[9,8,4,3,1,7,6,2,5,10]
[10,5,6,3,4,1,2,7,8,9]=>[9,8,7,2,1,4,3,6,5,10]
[10,5,3,2,6,1,4,7,8,9]=>[9,8,7,4,1,6,2,3,5,10]
[10,5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5,10]
[6,7,10,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,10,7,6]
[10,6,3,2,7,8,1,4,5,9]=>[9,5,4,1,8,7,2,3,6,10]
[6,10,4,7,2,5,1,3,8,9]=>[9,8,3,1,5,2,7,4,10,6]
[10,6,4,7,2,5,1,3,8,9]=>[9,8,3,1,5,2,7,4,6,10]
[10,6,4,3,2,7,1,5,8,9]=>[9,8,5,1,7,2,3,4,6,10]
[10,6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6,10]
[7,10,4,8,2,5,9,1,3,6]=>[6,3,1,9,5,2,8,4,10,7]
[10,7,4,8,2,5,9,1,3,6]=>[6,3,1,9,5,2,8,4,7,10]
[10,7,4,3,2,8,9,1,5,6]=>[6,5,1,9,8,2,3,4,7,10]
[10,7,5,3,8,2,6,1,4,9]=>[9,4,1,6,2,8,3,5,7,10]
[10,7,5,4,3,2,8,1,6,9]=>[9,6,1,8,2,3,4,5,7,10]
[2,3,5,6,8,1,9,4,7,10]=>[10,7,4,9,1,8,6,5,3,2]
[2,3,5,6,1,8,9,4,10,7]=>[7,10,4,9,8,1,6,5,3,2]
[2,3,5,6,1,9,4,7,8,10]=>[10,8,7,4,9,1,6,5,3,2]
[2,3,5,1,6,7,9,4,10,8]=>[8,10,4,9,7,6,1,5,3,2]
[2,3,5,1,6,7,4,8,10,9]=>[9,10,8,4,7,6,1,5,3,2]
[2,3,6,8,1,9,4,5,10,7]=>[7,10,5,4,9,1,8,6,3,2]
[2,3,6,1,8,9,4,10,5,7]=>[7,5,10,4,9,8,1,6,3,2]
[2,3,6,1,9,4,5,7,8,10]=>[10,8,7,5,4,9,1,6,3,2]
[2,3,7,1,9,4,5,6,10,8]=>[8,10,6,5,4,9,1,7,3,2]
[2,3,1,4,6,7,9,5,10,8]=>[8,10,5,9,7,6,4,1,3,2]
[2,3,1,4,6,7,5,8,10,9]=>[9,10,8,5,7,6,4,1,3,2]
[2,3,1,4,7,9,5,10,6,8]=>[8,6,10,5,9,7,4,1,3,2]
[2,3,1,4,7,5,6,8,10,9]=>[9,10,8,6,5,7,4,1,3,2]
[2,3,1,4,8,5,6,10,7,9]=>[9,7,10,6,5,8,4,1,3,2]
[3,5,6,7,1,9,2,4,10,8]=>[8,10,4,2,9,1,7,6,5,3]
[3,5,6,1,7,9,2,10,4,8]=>[8,4,10,2,9,7,1,6,5,3]
[3,5,6,1,7,2,4,8,10,9]=>[9,10,8,4,2,7,1,6,5,3]
[3,5,1,6,7,8,2,10,4,9]=>[9,4,10,2,8,7,6,1,5,3]
[3,5,1,6,7,2,8,9,4,10]=>[10,4,9,8,2,7,6,1,5,3]
[3,6,8,1,9,2,4,10,5,7]=>[7,5,10,4,2,9,1,8,6,3]
[4,6,1,7,9,2,10,3,5,8]=>[8,5,3,10,2,9,7,1,6,4]
[3,6,1,9,2,4,5,7,8,10]=>[10,8,7,5,4,2,9,1,6,3]
[3,7,1,9,2,4,5,6,10,8]=>[8,10,6,5,4,2,9,1,7,3]
[4,6,1,7,2,3,5,8,10,9]=>[9,10,8,5,3,2,7,1,6,4]
[4,7,1,9,2,3,5,10,6,8]=>[8,6,10,5,3,2,9,1,7,4]
[5,7,1,8,2,3,4,10,6,9]=>[9,6,10,4,3,2,8,1,7,5]
[3,1,2,4,6,7,9,5,10,8]=>[8,10,5,9,7,6,4,2,1,3]
[3,1,2,4,6,7,5,8,10,9]=>[9,10,8,5,7,6,4,2,1,3]
[3,1,2,4,7,9,5,10,6,8]=>[8,6,10,5,9,7,4,2,1,3]
[3,1,2,4,7,5,6,8,10,9]=>[9,10,8,6,5,7,4,2,1,3]
[3,1,2,4,8,5,6,10,7,9]=>[9,7,10,6,5,8,4,2,1,3]
[4,1,2,6,7,8,3,10,5,9]=>[9,5,10,3,8,7,6,2,1,4]
[4,1,2,6,7,3,8,9,5,10]=>[10,5,9,8,3,7,6,2,1,4]
[4,1,2,7,9,3,10,5,6,8]=>[8,6,5,10,3,9,7,2,1,4]
[5,1,2,7,8,3,10,4,6,9]=>[9,6,4,10,3,8,7,2,1,5]
[4,1,2,7,3,5,6,8,10,9]=>[9,10,8,6,5,3,7,2,1,4]
[4,1,2,8,3,5,6,10,7,9]=>[9,7,10,6,5,3,8,2,1,4]
[5,1,2,7,3,4,8,9,6,10]=>[10,6,9,8,4,3,7,2,1,5]
[5,1,2,8,3,4,10,6,7,9]=>[9,7,6,10,4,3,8,2,1,5]
[6,1,2,8,3,4,9,5,7,10]=>[10,7,5,9,4,3,8,2,1,6]
[2,5,4,3,1,6,7,8,9,10]=>[10,9,8,7,6,1,3,4,5,2]
[2,7,6,5,4,3,1,8,9,10]=>[10,9,8,1,3,4,5,6,7,2]
[4,3,5,6,2,1,7,8,9,10]=>[10,9,8,7,1,2,6,5,3,4]
[3,6,1,5,4,2,7,8,9,10]=>[10,9,8,7,2,4,5,1,6,3]
[3,4,5,1,2,6,7,8,9,10]=>[10,9,8,7,6,2,1,5,4,3]
[2,9,8,7,6,5,4,3,1,10]=>[10,1,3,4,5,6,7,8,9,2]
[4,3,7,8,6,5,2,1,9,10]=>[10,9,1,2,5,6,8,7,3,4]
[3,8,1,7,6,5,4,2,9,10]=>[10,9,2,4,5,6,7,1,8,3]
[5,6,4,2,7,3,1,8,9,10]=>[10,9,8,1,3,7,2,4,6,5]
[3,4,7,1,6,5,2,8,9,10]=>[10,9,8,2,5,6,1,7,4,3]
[4,3,9,10,8,7,6,5,2,1]=>[1,2,5,6,7,8,10,9,3,4]
[6,5,4,7,8,9,3,2,1,10]=>[10,1,2,3,9,8,7,4,5,6]
[3,4,9,1,8,7,6,5,2,10]=>[10,2,5,6,7,8,1,9,4,3]
[6,5,8,7,2,1,4,3,9,10]=>[10,9,3,4,1,2,7,8,5,6]
[3,6,7,5,2,8,4,1,9,10]=>[10,9,1,4,8,2,5,7,6,3]
[4,5,8,1,2,7,6,3,9,10]=>[10,9,3,6,7,2,1,8,5,4]
[4,5,6,7,1,2,3,8,9,10]=>[10,9,8,3,2,1,7,6,5,4]
[7,8,6,5,3,9,10,4,2,1]=>[1,2,4,10,9,3,5,6,8,7]
[3,6,9,5,2,10,8,7,4,1]=>[1,4,7,8,10,2,5,9,6,3]
[6,7,4,9,8,3,1,5,2,10]=>[10,2,5,1,3,8,9,4,7,6]
[4,7,8,1,6,3,9,5,2,10]=>[10,2,5,9,3,6,1,8,7,4]
[4,5,6,9,1,2,8,7,3,10]=>[10,3,7,8,2,1,9,6,5,4]
[7,8,10,5,2,9,4,1,6,3]=>[3,6,1,4,9,2,5,10,8,7]
[4,5,8,9,1,7,3,10,6,2]=>[2,6,10,3,7,1,9,8,5,4]
[1,2,3,4,8,5,9,6,10,7]=>[7,10,6,9,5,8,4,3,2,1]
[1,2,3,4,5,8,6,10,9,7]=>[7,9,10,6,8,5,4,3,2,1]
[1,2,3,7,4,8,5,10,9,6]=>[6,9,10,5,8,4,7,3,2,1]
[1,2,3,4,9,7,5,10,8,6]=>[6,8,10,5,7,9,4,3,2,1]
[1,2,3,4,7,5,10,9,8,6]=>[6,8,9,10,5,7,4,3,2,1]
[1,6,2,7,3,8,4,10,9,5]=>[5,9,10,4,8,3,7,2,6,1]
[1,2,6,3,9,7,4,10,8,5]=>[5,8,10,4,7,9,3,6,2,1]
[1,2,6,3,7,4,10,9,8,5]=>[5,8,9,10,4,7,3,6,2,1]
[1,2,3,8,6,4,10,9,7,5]=>[5,7,9,10,4,6,8,3,2,1]
[1,2,3,6,4,10,9,8,7,5]=>[5,7,8,9,10,4,6,3,2,1]
[5,1,6,2,9,7,3,10,8,4]=>[4,8,10,3,7,9,2,6,1,5]
[5,1,6,2,7,3,10,9,8,4]=>[4,8,9,10,3,7,2,6,1,5]
[1,5,2,6,3,10,9,8,7,4]=>[4,7,8,9,10,3,6,2,5,1]
[1,2,7,5,3,10,9,8,6,4]=>[4,6,8,9,10,3,5,7,2,1]
[1,2,5,3,10,9,8,7,6,4]=>[4,6,7,8,9,10,3,5,2,1]
[7,4,1,8,5,2,10,9,6,3]=>[3,6,9,10,2,5,8,1,4,7]
[4,1,9,7,5,2,10,8,6,3]=>[3,6,8,10,2,5,7,9,1,4]
[4,1,7,5,2,10,9,8,6,3]=>[3,6,8,9,10,2,5,7,1,4]
[4,1,5,2,10,9,8,7,6,3]=>[3,6,7,8,9,10,2,5,1,4]
[1,8,6,4,2,10,9,7,5,3]=>[3,5,7,9,10,2,4,6,8,1]
[1,6,4,2,10,9,8,7,5,3]=>[3,5,7,8,9,10,2,4,6,1]
[1,4,2,10,9,8,7,6,5,3]=>[3,5,6,7,8,9,10,2,4,1]
[7,5,3,1,10,9,8,6,4,2]=>[2,4,6,8,9,10,1,3,5,7]
[5,3,1,10,9,8,7,6,4,2]=>[2,4,6,7,8,9,10,1,3,5]
[1,3,2,6,4,8,5,10,7,9]=>[9,7,10,5,8,4,6,2,3,1]
[1,3,2,5,4,8,6,10,7,9]=>[9,7,10,6,8,4,5,2,3,1]
[1,3,2,5,4,7,6,10,8,9]=>[9,8,10,6,7,4,5,2,3,1]
[9,1,8,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,8,1,9]
[1,10,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,10,1]
[3,6,1,2,7,8,4,5,9,10]=>[10,9,5,4,8,7,2,1,6,3]
[3,6,1,2,7,10,4,5,8,9]=>[9,8,5,4,10,7,2,1,6,3]
[3,6,1,2,4,7,10,5,8,9]=>[9,8,5,10,7,4,2,1,6,3]
[1,3,6,2,4,7,10,5,8,9]=>[9,8,5,10,7,4,2,6,3,1]
[3,1,2,6,4,7,10,5,8,9]=>[9,8,5,10,7,4,6,2,1,3]
[3,1,6,7,2,4,5,10,8,9]=>[9,8,10,5,4,2,7,6,1,3]
[3,1,6,7,2,4,9,10,5,8]=>[8,5,10,9,4,2,7,6,1,3]
[3,1,5,6,2,4,9,10,7,8]=>[8,7,10,9,4,2,6,5,1,3]
[1,8,6,4,2,9,7,5,3,10]=>[10,3,5,7,9,2,4,6,8,1]
[1,4,2,5,6,7,8,10,9,3]=>[3,9,10,8,7,6,5,2,4,1]
[2,1,4,5,6,7,10,8,3,9]=>[9,3,8,10,7,6,5,4,1,2]
[3,1,5,2,6,10,7,8,9,4]=>[4,9,8,7,10,6,2,5,1,3]
[4,5,1,6,7,9,8,10,2,3]=>[3,2,10,8,9,7,6,1,5,4]
[7,2,8,3,9,4,10,5,1,6]=>[6,1,5,10,4,9,3,8,2,7]
[7,2,8,3,9,10,4,5,1,6]=>[6,1,5,4,10,9,3,8,2,7]
[7,2,8,9,3,4,10,5,1,6]=>[6,1,5,10,4,3,9,8,2,7]
[7,2,8,9,3,10,4,5,1,6]=>[6,1,5,4,10,3,9,8,2,7]
[7,2,8,9,10,3,4,5,1,6]=>[6,1,5,4,3,10,9,8,2,7]
[7,8,2,3,9,4,10,5,1,6]=>[6,1,5,10,4,9,3,2,8,7]
[7,8,2,3,9,10,4,5,1,6]=>[6,1,5,4,10,9,3,2,8,7]
[7,8,2,9,3,4,10,5,1,6]=>[6,1,5,10,4,3,9,2,8,7]
[7,8,2,9,3,10,4,5,1,6]=>[6,1,5,4,10,3,9,2,8,7]
[7,8,2,9,10,3,4,5,1,6]=>[6,1,5,4,3,10,9,2,8,7]
[7,8,9,2,3,4,10,5,1,6]=>[6,1,5,10,4,3,2,9,8,7]
[7,8,9,2,3,10,4,5,1,6]=>[6,1,5,4,10,3,2,9,8,7]
[7,8,9,2,10,3,4,5,1,6]=>[6,1,5,4,3,10,2,9,8,7]
[5,9,8,7,6,4,3,2,1,10]=>[10,1,2,3,4,6,7,8,9,5]
[10,9,8,6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6,8,9,10]
[1,2,9,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,9,2,1]
[1,2,3,4,5,9,6,7,10,8]=>[8,10,7,6,9,5,4,3,2,1]
[1,10,6,2,3,4,9,5,7,8]=>[8,7,5,9,4,3,2,6,10,1]
[1,5,2,9,3,10,4,6,7,8]=>[8,7,6,4,10,3,9,2,5,1]
[1,2,4,3,10,9,5,6,7,8]=>[8,7,6,5,9,10,3,4,2,1]
[1,3,2,4,5,10,9,6,7,8]=>[8,7,6,9,10,5,4,2,3,1]
[2,1,3,4,5,9,6,10,7,8]=>[8,7,10,6,9,5,4,3,1,2]
[9,10,1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1,10,9]
[5,9,1,2,3,10,4,6,7,8]=>[8,7,6,4,10,3,2,1,9,5]
[10,4,1,2,3,5,9,6,7,8]=>[8,7,6,9,5,3,2,1,4,10]
[9,8,7,6,5,4,1,10,3,2]=>[2,3,10,1,4,5,6,7,8,9]
[10,7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7,10]
[6,7,10,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,10,7,6]
[10,6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6,10]
[10,5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5,10]
[10,4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4,10]
[10,3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3,10]
[1,2,3,4,5,8,6,7,9,10]=>[10,9,7,6,8,5,4,3,2,1]
[1,2,3,4,5,10,6,9,7,8]=>[8,7,9,6,10,5,4,3,2,1]
[1,2,3,6,4,5,7,8,9,10]=>[10,9,8,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,10,8,9]=>[9,8,10,7,5,4,6,3,2,1]
[1,2,3,8,4,5,6,7,9,10]=>[10,9,7,6,5,4,8,3,2,1]
[1,2,3,10,4,5,6,9,7,8]=>[8,7,9,6,5,4,10,3,2,1]
[1,2,3,8,4,7,5,6,9,10]=>[10,9,6,5,7,4,8,3,2,1]
[1,2,3,10,4,7,5,6,8,9]=>[9,8,6,5,7,4,10,3,2,1]
[1,2,3,10,4,9,5,6,7,8]=>[8,7,6,5,9,4,10,3,2,1]
[1,2,3,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,3,2,1]
[1,4,2,3,5,6,7,10,8,9]=>[9,8,10,7,6,5,3,2,4,1]
[1,4,2,3,5,8,6,7,9,10]=>[10,9,7,6,8,5,3,2,4,1]
[1,4,2,3,5,10,6,7,8,9]=>[9,8,7,6,10,5,3,2,4,1]
[1,4,2,3,5,10,6,9,7,8]=>[8,7,9,6,10,5,3,2,4,1]
[1,6,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,6,1]
[1,6,2,3,4,5,7,10,8,9]=>[9,8,10,7,5,4,3,2,6,1]
[1,8,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,8,1]
[1,10,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,10,1]
[1,8,2,3,4,7,5,6,9,10]=>[10,9,6,5,7,4,3,2,8,1]
[1,10,2,3,4,7,5,6,8,9]=>[9,8,6,5,7,4,3,2,10,1]
[1,10,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,10,1]
[1,10,2,3,4,9,5,8,6,7]=>[7,6,8,5,9,4,3,2,10,1]
[1,6,2,5,3,4,7,10,8,9]=>[9,8,10,7,4,3,5,2,6,1]
[1,8,2,5,3,4,6,7,9,10]=>[10,9,7,6,4,3,5,2,8,1]
[1,10,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,10,1]
[1,10,2,5,3,4,6,9,7,8]=>[8,7,9,6,4,3,5,2,10,1]
[1,8,2,7,3,4,5,6,9,10]=>[10,9,6,5,4,3,7,2,8,1]
[1,10,2,7,3,4,5,6,8,9]=>[9,8,6,5,4,3,7,2,10,1]
[1,10,2,9,3,4,5,8,6,7]=>[7,6,8,5,4,3,9,2,10,1]
[1,10,2,7,3,6,4,5,8,9]=>[9,8,5,4,6,3,7,2,10,1]
[1,10,2,9,3,6,4,5,7,8]=>[8,7,5,4,6,3,9,2,10,1]
[1,10,2,9,3,8,4,5,6,7]=>[7,6,5,4,8,3,9,2,10,1]
[7,8,1,2,3,4,5,6,10,9]=>[9,10,6,5,4,3,2,1,8,7]
[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]
[2,1,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,1,2]
[10,9,7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7,9,10]
[10,8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,7,8,10]
[9,8,7,6,4,3,2,5,1,10]=>[10,1,5,2,3,4,6,7,8,9]
[9,8,7,6,4,3,5,2,1,10]=>[10,1,2,5,3,4,6,7,8,9]
[10,3,1,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,1,3,10]
[9,10,1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1,10,9]
[10,7,8,3,4,5,6,1,2,9]=>[9,2,1,6,5,4,3,8,7,10]
[9,3,1,2,10,5,6,7,8,4]=>[4,8,7,6,5,10,2,1,3,9]
[10,8,9,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,9,8,10]
[8,10,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,10,8]
[1,10,9,8,6,5,7,4,3,2]=>[2,3,4,7,5,6,8,9,10,1]
[3,1,4,5,6,7,9,2,10,8]=>[8,10,2,9,7,6,5,4,1,3]
[8,1,9,2,3,4,5,6,10,7]=>[7,10,6,5,4,3,2,9,1,8]
[7,9,1,2,3,4,5,6,10,8]=>[8,10,6,5,4,3,2,1,9,7]
[2,9,1,10,3,4,5,6,7,8]=>[8,7,6,5,4,3,10,1,9,2]
[2,8,10,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,10,8,2]
[10,8,6,7,4,5,2,3,1,9]=>[9,1,3,2,5,4,7,6,8,10]
[10,8,9,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,9,8,10]
[10,8,9,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,9,8,10]
[10,8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8,10]
[7,5,6,4,2,3,1,8,9,10]=>[10,9,8,1,3,2,4,6,5,7]
[6,5,3,4,2,1,7,8,9,10]=>[10,9,8,7,1,2,4,3,5,6]
[9,6,8,7,5,2,4,3,1,10]=>[10,1,3,4,2,5,7,8,6,9]
[8,7,6,4,5,3,2,1,9,10]=>[10,9,1,2,3,5,4,6,7,8]
[8,6,3,7,5,2,4,1,9,10]=>[10,9,1,4,2,5,7,3,6,8]
[7,6,4,3,5,2,1,8,9,10]=>[10,9,8,1,2,5,3,4,6,7]
[10,7,3,9,8,6,2,5,4,1]=>[1,4,5,2,6,8,9,3,7,10]
[9,7,4,3,8,6,2,5,1,10]=>[10,1,5,2,6,8,3,4,7,9]
[8,7,5,4,3,6,2,1,9,10]=>[10,9,1,2,6,3,4,5,7,8]
[10,8,5,4,3,9,7,2,6,1]=>[1,6,2,7,9,3,4,5,8,10]
[9,8,6,5,4,3,7,2,1,10]=>[10,1,2,7,3,4,5,6,8,9]
[5,1,2,7,10,3,4,6,8,9]=>[9,8,6,4,3,10,7,2,1,5]
[2,7,1,4,10,3,5,6,8,9]=>[9,8,6,5,3,10,4,1,7,2]
[2,4,10,1,7,3,5,6,8,9]=>[9,8,6,5,3,7,1,10,4,2]
[2,4,9,1,6,10,3,5,7,8]=>[8,7,5,3,10,6,1,9,4,2]
[2,4,9,1,7,3,5,6,8,10]=>[10,8,6,5,3,7,1,9,4,2]
[2,6,1,4,9,3,5,7,8,10]=>[10,8,7,5,3,9,4,1,6,2]
[4,1,2,6,9,3,5,7,8,10]=>[10,8,7,5,3,9,6,2,1,4]
[1,2,4,6,9,3,5,7,8,10]=>[10,8,7,5,3,9,6,4,2,1]
[2,4,3,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,3,4,2]
[2,3,6,4,5,1,7,8,9,10]=>[10,9,8,7,1,5,4,6,3,2]
[3,4,5,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,5,4,3]
[2,3,4,8,5,6,7,1,9,10]=>[10,9,1,7,6,5,8,4,3,2]
[3,5,4,7,2,6,1,8,9,10]=>[10,9,8,1,6,2,7,4,5,3]
[2,6,4,1,5,3,7,8,9,10]=>[10,9,8,7,3,5,1,4,6,2]
[4,5,2,6,3,1,7,8,9,10]=>[10,9,8,7,1,3,6,2,5,4]
[3,6,4,5,9,2,7,8,1,10]=>[10,1,8,7,2,9,5,4,6,3]
[2,5,4,7,8,6,3,1,9,10]=>[10,9,1,3,6,8,7,4,5,2]
[4,6,2,5,8,3,7,1,9,10]=>[10,9,1,7,3,8,5,2,6,4]
[3,5,7,6,1,4,2,8,9,10]=>[10,9,8,2,4,1,6,7,5,3]
[5,6,2,3,7,4,1,8,9,10]=>[10,9,8,1,4,7,3,2,6,5]
[2,5,4,8,6,10,7,3,9,1]=>[1,9,3,7,10,6,8,4,5,2]
[4,7,2,5,6,10,3,8,9,1]=>[1,9,8,3,10,6,5,2,7,4]
[2,3,9,5,6,1,7,8,4,10]=>[10,4,8,7,1,6,5,9,3,2]
[5,7,2,3,6,9,4,8,1,10]=>[10,1,8,4,9,6,3,2,7,5]
[2,8,4,1,6,3,7,5,9,10]=>[10,9,5,7,3,6,1,4,8,2]
[4,6,7,8,3,1,5,2,9,10]=>[10,9,2,5,1,3,8,7,6,4]
[6,7,2,3,4,8,5,1,9,10]=>[10,9,1,5,8,4,3,2,7,6]
[3,6,4,10,8,7,1,5,9,2]=>[2,9,5,1,7,8,10,4,6,3]
[2,7,4,9,6,3,10,8,5,1]=>[1,5,8,10,3,6,9,4,7,2]
[4,6,8,7,3,9,10,5,2,1]=>[1,2,5,10,9,3,7,8,6,4]
[6,8,2,3,4,7,10,5,9,1]=>[1,9,5,10,7,4,3,2,8,6]
[3,5,9,7,1,8,2,6,4,10]=>[10,4,6,2,8,1,7,9,5,3]
[5,7,8,3,9,4,1,6,2,10]=>[10,2,6,1,4,9,3,8,7,5]
[7,8,2,3,4,5,9,6,1,10]=>[10,1,6,9,5,4,3,2,8,7]
[4,6,8,10,9,1,5,2,7,3]=>[3,7,2,5,1,9,10,8,6,4]
[6,8,9,3,4,10,5,1,7,2]=>[2,7,1,5,10,4,3,9,8,6]
[8,9,2,3,4,5,6,10,7,1]=>[1,7,10,6,5,4,3,2,9,8]
[8,9,10,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,10,9,8]
[8,10,2,3,4,5,6,1,7,9]=>[9,7,1,6,5,4,3,2,10,8]
[9,10,8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8,10,9]
[8,9,10,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,10,9,8]
[7,8,1,9,5,10,2,3,4,6]=>[6,4,3,2,10,5,9,1,8,7]
[6,1,7,8,9,10,5,2,3,4]=>[4,3,2,5,10,9,8,7,1,6]
[1,5,6,7,8,9,10,4,2,3]=>[3,2,4,10,9,8,7,6,5,1]
[9,8,7,5,10,4,3,2,1,6]=>[6,1,2,3,4,10,5,7,8,9]
[2,1,8,5,9,7,4,10,3,6]=>[6,3,10,4,7,9,5,8,1,2]
[6,3,7,5,2,8,1,4,10,9]=>[9,10,4,1,8,2,5,7,3,6]
[8,3,9,5,2,7,4,10,1,6]=>[6,1,10,4,7,2,5,9,3,8]
[6,3,7,5,2,8,9,10,1,4]=>[4,1,10,9,8,2,5,7,3,6]
[8,3,9,5,6,7,2,10,1,4]=>[4,1,10,2,7,6,5,9,3,8]
[4,3,7,8,6,10,9,5,1,2]=>[2,1,5,9,10,6,8,7,3,4]
[8,3,4,5,9,7,2,10,1,6]=>[6,1,10,2,7,9,5,4,3,8]
[8,5,4,6,7,2,9,10,1,3]=>[3,1,10,9,2,7,6,4,5,8]
[2,7,4,8,6,3,9,1,10,5]=>[5,10,1,9,3,6,8,4,7,2]
[10,1,2,9,6,3,4,5,7,8]=>[8,7,5,4,3,6,9,2,1,10]
[4,1,2,10,3,5,9,6,7,8]=>[8,7,6,9,5,3,10,2,1,4]
[1,2,3,10,4,5,9,6,8,7]=>[7,8,6,9,5,4,10,3,2,1]
[1,2,9,3,4,5,10,6,8,7]=>[7,8,6,10,5,4,3,9,2,1]
[1,2,3,10,4,8,5,6,9,7]=>[7,9,6,5,8,4,10,3,2,1]
[1,2,3,5,9,10,4,6,8,7]=>[7,8,6,4,10,9,5,3,2,1]
[1,2,9,3,7,4,5,6,10,8]=>[8,10,6,5,4,7,3,9,2,1]
[1,2,4,8,3,10,5,6,9,7]=>[7,9,6,5,10,3,8,4,2,1]
[1,2,4,8,9,3,5,6,10,7]=>[7,10,6,5,3,9,8,4,2,1]
[1,2,3,10,4,5,9,7,6,8]=>[8,6,7,9,5,4,10,3,2,1]
[1,2,9,3,4,5,10,7,6,8]=>[8,6,7,10,5,4,3,9,2,1]
[1,2,3,10,4,5,8,9,6,7]=>[7,6,9,8,5,4,10,3,2,1]
[1,2,3,5,6,10,8,9,4,7]=>[7,4,9,8,10,6,5,3,2,1]
[1,2,9,3,4,7,5,10,6,8]=>[8,6,10,5,7,4,3,9,2,1]
[1,2,4,5,3,10,8,9,6,7]=>[7,6,9,8,10,3,5,4,2,1]
[1,2,4,5,9,7,3,10,6,8]=>[8,6,10,3,7,9,5,4,2,1]
[1,2,3,10,4,8,6,5,7,9]=>[9,7,5,6,8,4,10,3,2,1]
[1,2,3,5,9,10,6,4,7,8]=>[8,7,4,6,10,9,5,3,2,1]
[1,2,3,5,9,7,10,4,6,8]=>[8,6,4,10,7,9,5,3,2,1]
[1,2,9,3,7,5,4,6,8,10]=>[10,8,6,4,5,7,3,9,2,1]
[1,2,4,8,3,10,6,5,7,9]=>[9,7,5,6,10,3,8,4,2,1]
[1,2,4,8,3,7,10,5,6,9]=>[9,6,5,10,7,3,8,4,2,1]
[1,2,4,8,9,5,3,6,7,10]=>[10,7,6,3,5,9,8,4,2,1]
[1,2,3,10,4,7,5,9,6,8]=>[8,6,9,5,7,4,10,3,2,1]
[1,2,3,5,10,7,4,9,6,8]=>[8,6,9,4,7,10,5,3,2,1]
[1,2,9,3,6,4,5,10,7,8]=>[8,7,10,5,4,6,3,9,2,1]
[1,2,4,3,10,7,5,9,6,8]=>[8,6,9,5,7,10,3,4,2,1]
[1,2,4,9,6,3,5,10,7,8]=>[8,7,10,5,3,6,9,4,2,1]
[1,2,3,10,4,7,8,5,6,9]=>[9,6,5,8,7,4,10,3,2,1]
[1,2,3,5,10,7,8,4,6,9]=>[9,6,4,8,7,10,5,3,2,1]
[1,2,3,5,8,9,10,4,6,7]=>[7,6,4,10,9,8,5,3,2,1]
[1,2,9,3,6,7,4,5,8,10]=>[10,8,5,4,7,6,3,9,2,1]
[1,2,4,3,10,7,8,5,6,9]=>[9,6,5,8,7,10,3,4,2,1]
[1,2,4,3,8,9,10,5,6,7]=>[7,6,5,10,9,8,3,4,2,1]
[1,2,4,9,6,7,3,5,8,10]=>[10,8,5,3,7,6,9,4,2,1]
[1,2,4,7,8,3,10,5,6,9]=>[9,6,5,10,3,8,7,4,2,1]
[1,2,4,7,8,9,3,5,6,10]=>[10,6,5,3,9,8,7,4,2,1]
[1,3,2,4,10,7,5,9,6,8]=>[8,6,9,5,7,10,4,2,3,1]
[1,3,2,9,6,4,5,10,7,8]=>[8,7,10,5,4,6,9,2,3,1]
[1,3,2,4,10,7,8,5,6,9]=>[9,6,5,8,7,10,4,2,3,1]
[1,3,2,4,8,9,10,5,6,7]=>[7,6,5,10,9,8,4,2,3,1]
[1,3,2,9,6,7,4,5,8,10]=>[10,8,5,4,7,6,9,2,3,1]
[1,3,2,7,8,4,10,5,6,9]=>[9,6,5,10,4,8,7,2,3,1]
[1,3,2,7,8,9,4,5,6,10]=>[10,6,5,4,9,8,7,2,3,1]
[1,10,9,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,9,10,1]
[1,10,9,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,9,10,1]
[1,10,4,5,6,7,8,9,3,2]=>[2,3,9,8,7,6,5,4,10,1]
[7,6,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,6,7]
[7,8,6,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,6,8,7]
[7,8,9,6,10,1,2,3,4,5]=>[5,4,3,2,1,10,6,9,8,7]
[7,8,9,10,6,1,2,3,4,5]=>[5,4,3,2,1,6,10,9,8,7]
[5,7,8,9,10,6,1,2,3,4]=>[4,3,2,1,6,10,9,8,7,5]
[5,6,8,9,10,1,7,2,3,4]=>[4,3,2,7,1,10,9,8,6,5]
[5,6,7,9,10,1,2,8,3,4]=>[4,3,8,2,1,10,9,7,6,5]
[5,6,7,8,10,1,2,3,9,4]=>[4,9,3,2,1,10,8,7,6,5]
[3,10,4,5,6,7,8,2,1,9]=>[9,1,2,8,7,6,5,4,10,3]
[4,1,10,5,6,7,8,9,3,2]=>[2,3,9,8,7,6,5,10,1,4]
[4,2,10,5,6,7,8,3,1,9]=>[9,1,3,8,7,6,5,10,2,4]
[3,10,4,5,6,7,2,8,1,9]=>[9,1,8,2,7,6,5,4,10,3]
[5,1,3,10,6,7,8,9,4,2]=>[2,4,9,8,7,6,10,3,1,5]
[4,1,10,5,6,7,8,3,9,2]=>[2,9,3,8,7,6,5,10,1,4]
[1,3,2,5,4,7,10,9,8,6]=>[6,8,9,10,7,4,5,2,3,1]
[1,2,3,5,4,7,10,9,8,6]=>[6,8,9,10,7,4,5,3,2,1]
[2,3,4,6,5,8,10,9,7,1]=>[1,7,9,10,8,5,6,4,3,2]
[1,3,2,5,4,6,8,10,7,9]=>[9,7,10,8,6,4,5,2,3,1]
[1,3,2,5,4,6,10,7,8,9]=>[9,8,7,10,6,4,5,2,3,1]
[1,3,2,4,6,7,5,10,8,9]=>[9,8,10,5,7,6,4,2,3,1]
[1,3,2,4,6,5,8,10,7,9]=>[9,7,10,8,5,6,4,2,3,1]
[1,3,2,4,6,5,10,7,8,9]=>[9,8,7,10,5,6,4,2,3,1]
[1,3,2,4,5,7,8,10,6,9]=>[9,6,10,8,7,5,4,2,3,1]
[1,3,2,4,5,7,10,6,8,9]=>[9,8,6,10,7,5,4,2,3,1]
[1,3,2,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,2,3,1]
[1,2,4,5,3,7,6,10,8,9]=>[9,8,10,6,7,3,5,4,2,1]
[1,2,4,5,3,6,8,10,7,9]=>[9,7,10,8,6,3,5,4,2,1]
[1,2,4,5,3,6,10,7,8,9]=>[9,8,7,10,6,3,5,4,2,1]
[1,2,4,3,6,7,5,10,8,9]=>[9,8,10,5,7,6,3,4,2,1]
[1,2,4,3,6,5,8,10,7,9]=>[9,7,10,8,5,6,3,4,2,1]
[1,2,4,3,6,5,10,7,8,9]=>[9,8,7,10,5,6,3,4,2,1]
[1,2,4,3,5,7,8,10,6,9]=>[9,6,10,8,7,5,3,4,2,1]
[1,2,4,3,5,7,10,6,8,9]=>[9,8,6,10,7,5,3,4,2,1]
[1,2,4,3,5,10,6,7,8,9]=>[9,8,7,6,10,5,3,4,2,1]
[1,2,3,5,6,7,4,10,8,9]=>[9,8,10,4,7,6,5,3,2,1]
[1,2,3,5,6,4,8,10,7,9]=>[9,7,10,8,4,6,5,3,2,1]
[1,2,3,5,6,4,10,7,8,9]=>[9,8,7,10,4,6,5,3,2,1]
[1,2,3,5,4,7,8,10,6,9]=>[9,6,10,8,7,4,5,3,2,1]
[1,2,3,5,4,7,10,6,8,9]=>[9,8,6,10,7,4,5,3,2,1]
[1,2,3,5,4,10,6,7,8,9]=>[9,8,7,6,10,4,5,3,2,1]
[1,2,3,4,6,7,8,10,5,9]=>[9,5,10,8,7,6,4,3,2,1]
[1,2,3,4,6,7,10,5,8,9]=>[9,8,5,10,7,6,4,3,2,1]
[1,2,3,4,6,10,5,7,8,9]=>[9,8,7,5,10,6,4,3,2,1]
[5,3,1,2,6,7,8,9,10,4]=>[4,10,9,8,7,6,2,1,3,5]
[7,3,4,5,1,2,8,9,10,6]=>[6,10,9,8,2,1,5,4,3,7]
[8,3,4,5,6,1,2,9,10,7]=>[7,10,9,2,1,6,5,4,3,8]
[2,6,7,8,9,10,1,3,4,5]=>[5,4,3,1,10,9,8,7,6,2]
[2,1,4,3,8,10,7,9,6,5]=>[5,6,9,7,10,8,3,4,1,2]
[2,1,6,8,5,7,4,3,10,9]=>[9,10,3,4,7,5,8,6,1,2]
[2,1,8,10,5,7,4,9,6,3]=>[3,6,9,4,7,5,10,8,1,2]
[2,1,8,5,10,6,7,9,4,3]=>[3,4,9,7,6,10,5,8,1,2]
[2,1,4,7,10,6,9,8,5,3]=>[3,5,8,9,6,10,7,4,1,2]
[2,4,3,1,8,10,7,9,6,5]=>[5,6,9,7,10,8,1,3,4,2]
[4,6,3,5,2,1,8,7,10,9]=>[9,10,7,8,1,2,5,3,6,4]
[4,6,3,5,2,1,8,10,9,7]=>[7,9,10,8,1,2,5,3,6,4]
[6,8,3,5,2,7,4,1,10,9]=>[9,10,1,4,7,2,5,3,8,6]
[8,10,3,5,2,7,4,9,6,1]=>[1,6,9,4,7,2,5,3,10,8]
[6,7,3,5,2,10,8,4,9,1]=>[1,9,4,8,10,2,5,3,7,6]
[8,5,3,10,6,2,7,9,4,1]=>[1,4,9,7,2,6,10,3,5,8]
[4,7,3,10,6,2,9,8,5,1]=>[1,5,8,9,2,6,10,3,7,4]
[4,5,3,6,10,7,2,8,9,1]=>[1,9,8,2,7,10,6,3,5,4]
[6,3,8,4,5,7,2,1,10,9]=>[9,10,1,2,7,5,4,8,3,6]
[8,3,10,4,5,7,2,9,6,1]=>[1,6,9,2,7,5,4,10,3,8]
[2,5,8,4,7,6,3,1,10,9]=>[9,10,1,3,6,7,4,8,5,2]
[8,5,10,4,7,6,3,9,2,1]=>[1,2,9,3,6,7,4,10,5,8]
[2,7,10,4,9,6,8,3,5,1]=>[1,5,3,8,6,9,4,10,7,2]
[8,3,4,10,5,6,7,9,2,1]=>[1,2,9,7,6,5,10,4,3,8]
[2,7,4,10,5,6,9,8,3,1]=>[1,3,8,9,6,5,10,4,7,2]
[2,3,6,10,5,9,7,8,4,1]=>[1,4,8,7,9,5,10,6,3,2]
[10,8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8,10]
[10,8,6,4,9,7,5,3,2,1]=>[1,2,3,5,7,9,4,6,8,10]
[10,8,6,4,2,1,9,7,5,3]=>[3,5,7,9,1,2,4,6,8,10]
[10,8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8,10]
[9,7,10,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,10,7,9]
[9,7,4,3,2,1,5,10,8,6]=>[6,8,10,5,1,2,3,4,7,9]
[9,7,5,10,8,6,3,2,1,4]=>[4,1,2,3,6,8,10,5,7,9]
[10,8,6,4,9,7,5,2,1,3]=>[3,1,2,5,7,9,4,6,8,10]
[10,8,6,4,1,2,9,7,5,3]=>[3,5,7,9,2,1,4,6,8,10]
[2,5,1,6,3,7,4,8,9,10]=>[10,9,8,4,7,3,6,1,5,2]
[3,4,5,1,6,2,7,8,9,10]=>[10,9,8,7,2,6,1,5,4,3]
[2,6,1,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,1,6,2]
[3,4,6,1,7,2,8,5,9,10]=>[10,9,5,8,2,7,1,6,4,3]
[3,2,6,1,7,4,8,5,9,10]=>[10,9,5,8,4,7,1,6,2,3]
[4,2,5,6,1,7,3,8,9,10]=>[10,9,8,3,7,1,6,5,2,4]
[3,4,2,6,1,7,5,8,9,10]=>[10,9,8,5,7,1,6,2,4,3]
[3,2,7,1,8,4,9,5,10,6]=>[6,10,5,9,4,8,1,7,2,3]
[4,5,6,7,1,8,2,9,3,10]=>[10,3,9,2,8,1,7,6,5,4]
[3,4,2,7,1,8,5,9,6,10]=>[10,6,9,5,8,1,7,2,4,3]
[5,3,6,4,7,1,8,2,9,10]=>[10,9,2,8,1,7,4,6,3,5]
[3,5,2,6,7,1,8,4,9,10]=>[10,9,4,8,1,7,6,2,5,3]
[4,3,5,2,7,1,8,6,9,10]=>[10,9,6,8,1,7,2,5,3,4]
[5,2,6,7,8,1,9,3,10,4]=>[4,10,3,9,1,8,7,6,2,5]
[5,3,6,4,8,1,9,2,10,7]=>[7,10,2,9,1,8,4,6,3,5]
[3,5,2,6,8,1,9,4,10,7]=>[7,10,4,9,1,8,6,2,5,3]
[4,3,5,2,8,1,9,6,10,7]=>[7,10,6,9,1,8,2,5,3,4]
[4,6,2,7,5,8,1,9,3,10]=>[10,3,9,1,8,5,7,2,6,4]
[4,3,6,2,7,8,1,9,5,10]=>[10,5,9,1,8,7,2,6,3,4]
[4,5,3,6,2,8,1,9,7,10]=>[10,7,9,1,8,2,6,3,5,4]
[5,3,7,2,8,6,9,1,10,4]=>[4,10,1,9,6,8,2,7,3,5]
[4,5,3,7,2,8,9,1,10,6]=>[6,10,1,9,8,2,7,3,5,4]
[5,4,6,3,7,2,9,1,10,8]=>[8,10,1,9,2,7,3,6,4,5]
[8,7,10,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,10,7,8]
[8,7,6,10,5,4,3,2,1,9]=>[9,1,2,3,4,5,10,6,7,8]
[8,7,6,5,4,10,3,2,1,9]=>[9,1,2,3,10,4,5,6,7,8]
[8,7,6,5,4,3,10,2,1,9]=>[9,1,2,10,3,4,5,6,7,8]
[10,6,7,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,7,6,10]
[9,8,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,8,9]
[9,7,10,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,10,7,9]
[9,6,7,10,1,2,3,4,5,8]=>[8,5,4,3,2,1,10,7,6,9]
[8,7,9,1,2,3,4,5,6,10]=>[10,6,5,4,3,2,1,9,7,8]
[8,6,7,1,2,3,4,5,9,10]=>[10,9,5,4,3,2,1,7,6,8]
[7,6,8,1,2,3,4,5,9,10]=>[10,9,5,4,3,2,1,8,6,7]
[9,6,10,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,10,6,9]
[9,5,10,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,10,5,9]
[8,6,9,1,2,3,4,5,7,10]=>[10,7,5,4,3,2,1,9,6,8]
[8,5,9,1,2,3,4,6,7,10]=>[10,7,6,4,3,2,1,9,5,8]
[7,5,8,1,2,3,4,6,9,10]=>[10,9,6,4,3,2,1,8,5,7]
[8,4,9,1,2,3,5,6,7,10]=>[10,7,6,5,3,2,1,9,4,8]
[7,4,8,1,2,3,5,6,9,10]=>[10,9,6,5,3,2,1,8,4,7]
[5,1,6,7,8,9,10,2,3,4]=>[4,3,2,10,9,8,7,6,1,5]
[8,6,7,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,7,6,8]
[8,7,5,6,9,4,3,2,1,10]=>[10,1,2,3,4,9,6,5,7,8]
[8,7,6,4,5,9,3,2,1,10]=>[10,1,2,3,9,5,4,6,7,8]
[8,7,6,5,3,4,9,2,1,10]=>[10,1,2,9,4,3,5,6,7,8]
[8,7,6,5,4,2,3,9,1,10]=>[10,1,9,3,2,4,5,6,7,8]
[2,1,4,3,8,7,9,10,6,5]=>[5,6,10,9,7,8,3,4,1,2]
[2,1,6,5,7,8,4,3,10,9]=>[9,10,3,4,8,7,5,6,1,2]
[2,1,8,5,7,9,4,10,6,3]=>[3,6,10,4,9,7,5,8,1,2]
[2,1,6,5,7,8,9,10,4,3]=>[3,4,10,9,8,7,5,6,1,2]
[2,1,8,5,6,7,9,10,4,3]=>[3,4,10,9,7,6,5,8,1,2]
[2,1,4,7,6,8,9,5,10,3]=>[3,10,5,9,8,6,7,4,1,2]
[2,3,4,1,8,7,9,10,6,5]=>[5,6,10,9,7,8,1,4,3,2]
[4,3,5,6,2,1,8,7,10,9]=>[9,10,7,8,1,2,6,5,3,4]
[4,3,5,6,2,1,8,9,10,7]=>[7,10,9,8,1,2,6,5,3,4]
[6,3,5,7,2,8,4,1,10,9]=>[9,10,1,4,8,2,7,5,3,6]
[8,3,5,7,2,9,4,10,6,1]=>[1,6,10,4,9,2,7,5,3,8]
[6,3,5,7,2,8,9,10,4,1]=>[1,4,10,9,8,2,7,5,3,6]
[4,3,5,6,7,8,2,1,10,9]=>[9,10,1,2,8,7,6,5,3,4]
[8,3,5,6,7,9,2,10,4,1]=>[1,4,10,2,9,7,6,5,3,8]
[4,3,7,6,8,9,10,2,5,1]=>[1,5,2,10,9,8,6,7,3,4]
[6,3,4,5,7,8,2,1,10,9]=>[9,10,1,2,8,7,5,4,3,6]
[8,3,4,5,7,9,2,10,6,1]=>[1,6,10,2,9,7,5,4,3,8]
[6,3,4,5,7,8,9,10,2,1]=>[1,2,10,9,8,7,5,4,3,6]
[2,5,4,6,7,3,8,1,10,9]=>[9,10,1,8,3,7,6,4,5,2]
[8,5,4,6,7,3,9,10,2,1]=>[1,2,10,9,3,7,6,4,5,8]
[2,7,4,6,8,3,9,5,10,1]=>[1,10,5,9,3,8,6,4,7,2]
[2,5,4,6,7,8,9,3,10,1]=>[1,10,3,9,8,7,6,4,5,2]
[8,3,4,5,6,7,9,10,2,1]=>[1,2,10,9,7,6,5,4,3,8]
[2,7,4,5,6,8,9,3,10,1]=>[1,10,3,9,8,6,5,4,7,2]
[2,3,6,5,7,8,4,9,10,1]=>[1,10,9,4,8,7,5,6,3,2]
[4,5,1,2,3,6,7,8,9,10]=>[10,9,8,7,6,3,2,1,5,4]
[5,6,7,1,2,3,4,8,9,10]=>[10,9,8,4,3,2,1,7,6,5]
[5,3,6,1,2,4,7,8,9,10]=>[10,9,8,7,4,2,1,6,3,5]
[6,3,7,8,1,2,4,5,9,10]=>[10,9,5,4,2,1,8,7,3,6]
[6,7,4,5,1,2,3,8,9,10]=>[10,9,8,3,2,1,5,4,7,6]
[6,4,3,7,1,2,5,8,9,10]=>[10,9,8,5,2,1,7,3,4,6]
[7,3,8,9,10,1,2,4,5,6]=>[6,5,4,2,1,10,9,8,3,7]
[7,8,4,5,9,1,2,3,6,10]=>[10,6,3,2,1,9,5,4,8,7]
[7,4,3,8,9,1,2,5,6,10]=>[10,6,5,2,1,9,8,3,4,7]
[7,5,8,3,6,1,2,4,9,10]=>[10,9,4,2,1,6,3,8,5,7]
[7,5,4,3,8,1,2,6,9,10]=>[10,9,6,2,1,8,3,4,5,7]
[8,4,3,5,9,10,1,2,6,7]=>[7,6,2,1,10,9,5,3,4,8]
[8,5,4,3,9,10,1,2,6,7]=>[7,6,2,1,10,9,3,4,5,8]
[8,6,4,9,3,7,1,2,5,10]=>[10,5,2,1,7,3,9,4,6,8]
[8,6,5,4,3,9,1,2,7,10]=>[10,7,2,1,9,3,4,5,6,8]
[9,10,6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6,10,9]
[9,6,4,10,3,7,8,1,2,5]=>[5,2,1,8,7,3,10,4,6,9]
[9,6,5,4,3,7,10,1,2,8]=>[8,2,1,10,7,3,4,5,6,9]
[9,7,10,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,10,7,9]
[9,7,5,4,10,3,8,1,2,6]=>[6,2,1,8,3,10,4,5,7,9]
[9,7,6,5,4,3,10,1,2,8]=>[8,2,1,10,3,4,5,6,7,9]
[10,8,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,8,10]
[10,8,6,5,4,9,3,7,1,2]=>[2,1,7,3,9,4,5,6,8,10]
[10,8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8,10]
[7,8,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,8,7]
[5,6,7,8,9,10,1,3,4,2]=>[2,4,3,1,10,9,8,7,6,5]
[7,8,9,10,1,4,5,6,2,3]=>[3,2,6,5,4,1,10,9,8,7]
[8,9,10,1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1,10,9,8]
[8,9,10,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,10,9,8]
[2,10,1,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,1,10,2]
[6,10,9,8,7,5,4,3,1,2]=>[2,1,3,4,5,7,8,9,10,6]
[8,9,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,9,8]
[2,9,10,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,10,9,2]
[7,9,8,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,8,9,7]
[2,9,8,10,7,6,5,4,3,1]=>[1,3,4,5,6,7,10,8,9,2]
[2,8,10,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,10,8,2]
[2,3,4,5,6,7,1,9,10,8]=>[8,10,9,1,7,6,5,4,3,2]
[2,3,4,5,1,7,8,9,10,6]=>[6,10,9,8,7,1,5,4,3,2]
[2,3,1,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,1,3,2]
[4,2,5,3,7,6,9,8,1,10]=>[10,1,8,9,6,7,3,5,2,4]
[4,2,6,3,7,5,9,8,1,10]=>[10,1,8,9,5,7,3,6,2,4]
[4,2,6,3,8,5,9,7,1,10]=>[10,1,7,9,5,8,3,6,2,4]
[4,2,6,3,8,5,10,7,1,9]=>[9,1,7,10,5,8,3,6,2,4]
[4,2,6,3,8,5,10,7,9,1]=>[1,9,7,10,5,8,3,6,2,4]
[4,2,6,3,8,5,7,10,9,1]=>[1,9,10,7,5,8,3,6,2,4]
[4,2,6,3,5,8,7,10,9,1]=>[1,9,10,7,8,5,3,6,2,4]
[4,2,3,6,5,8,7,10,9,1]=>[1,9,10,7,8,5,6,3,2,4]
[8,10,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,10,8]
[5,2,6,7,8,9,10,1,3,4]=>[4,3,1,10,9,8,7,6,2,5]
[2,10,9,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,9,10,2]
[9,8,7,5,4,6,3,2,10,1]=>[1,10,2,3,6,4,5,7,8,9]
[9,8,7,4,6,5,3,2,10,1]=>[1,10,2,3,5,6,4,7,8,9]
[2,10,9,8,6,5,7,4,3,1]=>[1,3,4,7,5,6,8,9,10,2]
[2,10,9,8,5,7,6,4,3,1]=>[1,3,4,6,7,5,8,9,10,2]
[9,10,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,10,9]
[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]
[3,2,5,4,7,6,1,8,9,10]=>[10,9,8,1,6,7,4,5,2,3]
[3,2,5,4,1,9,8,6,7,10]=>[10,7,6,8,9,1,4,5,2,3]
[3,2,5,4,1,6,7,8,9,10]=>[10,9,8,7,6,1,4,5,2,3]
[3,2,7,6,5,4,1,8,9,10]=>[10,9,8,1,4,5,6,7,2,3]
[3,2,1,7,6,9,8,4,5,10]=>[10,5,4,8,9,6,7,1,2,3]
[3,2,1,7,6,4,5,8,9,10]=>[10,9,8,5,4,6,7,1,2,3]
[3,2,1,9,8,7,6,4,5,10]=>[10,5,4,6,7,8,9,1,2,3]
[3,2,1,4,9,8,5,6,7,10]=>[10,7,6,5,8,9,4,1,2,3]
[5,4,3,2,7,6,1,8,9,10]=>[10,9,8,1,6,7,2,3,4,5]
[5,4,3,2,1,9,8,6,7,10]=>[10,7,6,8,9,1,2,3,4,5]
[7,4,3,6,5,2,1,8,9,10]=>[10,9,8,1,2,5,6,3,4,7]
[1,5,4,7,6,9,8,2,3,10]=>[10,3,2,8,9,6,7,4,5,1]
[1,5,4,7,6,2,3,8,9,10]=>[10,9,8,3,2,6,7,4,5,1]
[1,5,4,9,8,7,6,2,3,10]=>[10,3,2,6,7,8,9,4,5,1]
[1,5,4,2,9,8,3,6,7,10]=>[10,7,6,3,8,9,2,4,5,1]
[1,5,4,2,3,6,7,8,9,10]=>[10,9,8,7,6,3,2,4,5,1]
[1,7,6,5,4,9,8,2,3,10]=>[10,3,2,8,9,4,5,6,7,1]
[1,7,6,5,4,2,3,8,9,10]=>[10,9,8,3,2,4,5,6,7,1]
[1,9,6,5,8,7,4,2,3,10]=>[10,3,2,4,7,8,5,6,9,1]
[1,2,7,6,9,8,3,4,5,10]=>[10,5,4,3,8,9,6,7,2,1]
[1,2,7,6,3,4,5,8,9,10]=>[10,9,8,5,4,3,6,7,2,1]
[1,9,8,7,6,5,4,2,3,10]=>[10,3,2,4,5,6,7,8,9,1]
[1,2,9,8,7,6,3,4,5,10]=>[10,5,4,3,6,7,8,9,2,1]
[1,2,3,9,8,4,5,6,7,10]=>[10,7,6,5,4,8,9,3,2,1]
[10,2,9,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,9,2,10]
[8,10,9,4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4,9,10,8]
[9,7,6,4,5,3,2,10,1,8]=>[8,1,10,2,3,5,4,6,7,9]
[9,2,10,8,5,6,7,4,1,3]=>[3,1,4,7,6,5,8,10,2,9]
[10,2,8,7,5,6,4,3,9,1]=>[1,9,3,4,6,5,7,8,2,10]
[1,3,2,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,2,3,1]
[2,9,4,5,6,7,8,1,10,3]=>[3,10,1,8,7,6,5,4,9,2]
[4,3,10,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,10,3,4]
[3,2,9,5,6,7,8,1,10,4]=>[4,10,1,8,7,6,5,9,2,3]
[8,9,4,5,6,7,1,3,10,2]=>[2,10,3,1,7,6,5,4,9,8]
[3,4,1,10,6,7,8,9,2,5]=>[5,2,9,8,7,6,10,1,4,3]
[4,9,10,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,10,9,4]
[9,1,2,3,6,4,5,7,8,10]=>[10,8,7,5,4,6,3,2,1,9]
[4,9,8,7,6,5,3,2,1,10]=>[10,1,2,3,5,6,7,8,9,4]
[5,10,9,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,9,10,5]
[5,6,7,8,9,10,3,2,1,4]=>[4,1,2,3,10,9,8,7,6,5]
[7,8,9,10,3,4,5,1,2,6]=>[6,2,1,5,4,3,10,9,8,7]
[7,8,9,10,3,4,5,2,1,6]=>[6,1,2,5,4,3,10,9,8,7]
[7,8,9,10,4,5,2,3,1,6]=>[6,1,3,2,5,4,10,9,8,7]
[7,8,9,10,4,5,3,2,1,6]=>[6,1,2,3,5,4,10,9,8,7]
[7,8,9,10,5,4,3,2,1,6]=>[6,1,2,3,4,5,10,9,8,7]
[8,9,10,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,10,9,8]
[8,9,10,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,10,9,8]
[8,9,10,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,10,9,8]
[8,9,10,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,10,9,8]
[8,9,10,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,10,9,8]
[8,9,10,5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5,10,9,8]
[8,9,10,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,10,9,8]
[8,9,10,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,10,9,8]
[9,10,5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5,10,9]
[9,10,5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5,10,9]
[9,10,5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5,10,9]
[9,10,5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5,10,9]
[9,10,6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6,10,9]
[9,10,6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6,10,9]
[9,10,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,10,9]
[10,7,8,5,6,3,4,2,1,9]=>[9,1,2,4,3,6,5,8,7,10]
[10,7,8,5,6,4,3,2,1,9]=>[9,1,2,3,4,6,5,8,7,10]
[10,7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7,10]
[10,9,1,2,3,7,8,4,5,6]=>[6,5,4,8,7,3,2,1,9,10]
[10,9,1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1,9,10]
[9,8,1,10,7,2,3,4,5,6]=>[6,5,4,3,2,7,10,1,8,9]
[8,6,1,2,3,4,5,9,10,7]=>[7,10,9,5,4,3,2,1,6,8]
[5,7,1,2,3,4,8,9,10,6]=>[6,10,9,8,4,3,2,1,7,5]
[10,4,1,2,3,7,8,9,5,6]=>[6,5,9,8,7,3,2,1,4,10]
[10,3,1,2,9,7,8,4,5,6]=>[6,5,4,8,7,9,2,1,3,10]
[2,9,1,10,8,7,3,4,5,6]=>[6,5,4,3,7,8,10,1,9,2]
[9,1,8,3,2,4,10,7,6,5]=>[5,6,7,10,4,2,3,8,1,9]
[8,1,10,3,2,4,9,6,7,5]=>[5,7,6,9,4,2,3,10,1,8]
[10,1,9,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,9,1,10]
[10,1,9,3,2,8,4,6,7,5]=>[5,7,6,4,8,2,3,9,1,10]
[8,1,2,3,10,9,5,6,4,7]=>[7,4,6,5,9,10,3,2,1,8]
[8,1,2,10,3,9,5,4,6,7]=>[7,6,4,5,9,3,10,2,1,8]
[7,1,2,10,9,4,5,3,8,6]=>[6,8,3,5,4,9,10,2,1,7]
[8,1,10,2,3,9,5,6,4,7]=>[7,4,6,5,9,3,2,10,1,8]
[7,1,10,2,9,4,3,5,8,6]=>[6,8,5,3,4,9,2,10,1,7]
[10,1,2,9,3,8,5,6,4,7]=>[7,4,6,5,8,3,9,2,1,10]
[10,1,9,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,9,1,10]
[10,1,9,2,8,4,3,5,7,6]=>[6,7,5,3,4,8,2,9,1,10]
[9,1,8,2,7,4,5,3,6,10]=>[10,6,3,5,4,7,2,8,1,9]
[10,1,9,8,3,2,4,7,5,6]=>[6,5,7,4,2,3,8,9,1,10]
[8,10,1,2,3,9,5,4,6,7]=>[7,6,4,5,9,3,2,1,10,8]
[7,10,1,2,9,4,5,3,8,6]=>[6,8,3,5,4,9,2,1,10,7]
[10,9,1,2,3,8,5,6,4,7]=>[7,4,6,5,8,3,2,1,9,10]
[10,9,1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1,9,10]
[9,8,1,2,7,4,5,6,3,10]=>[10,3,6,5,4,7,2,1,8,9]
[10,9,1,8,3,2,4,7,6,5]=>[5,6,7,4,2,3,8,1,9,10]
[1,4,3,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,3,4,1]
[4,2,6,1,3,5,8,7,10,9]=>[9,10,7,8,5,3,1,6,2,4]
[4,2,6,1,8,3,5,7,10,9]=>[9,10,7,5,3,8,1,6,2,4]
[4,2,6,1,8,3,10,5,7,9]=>[9,7,5,10,3,8,1,6,2,4]
[10,9,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,9,10]
[3,10,9,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,9,10,3]
[2,3,4,10,6,7,8,9,1,5]=>[5,1,9,8,7,6,10,4,3,2]
[2,3,10,5,6,7,8,9,1,4]=>[4,1,9,8,7,6,5,10,3,2]
[2,3,4,5,6,10,1,9,7,8]=>[8,7,9,1,10,6,5,4,3,2]
[2,3,4,5,10,1,8,9,6,7]=>[7,6,9,8,1,10,5,4,3,2]
[2,3,10,1,6,7,8,9,4,5]=>[5,4,9,8,7,6,1,10,3,2]
[1,4,2,6,5,8,7,10,9,3]=>[3,9,10,7,8,5,6,2,4,1]
[1,5,2,6,4,8,7,10,9,3]=>[3,9,10,7,8,4,6,2,5,1]
[1,5,2,7,4,8,6,10,9,3]=>[3,9,10,6,8,4,7,2,5,1]
[1,5,2,7,4,9,6,10,8,3]=>[3,8,10,6,9,4,7,2,5,1]
[1,5,2,7,4,9,6,8,10,3]=>[3,10,8,6,9,4,7,2,5,1]
[1,5,2,7,4,6,9,8,10,3]=>[3,10,8,9,6,4,7,2,5,1]
[1,5,2,4,7,6,9,8,10,3]=>[3,10,8,9,6,7,4,2,5,1]
[1,2,5,4,7,6,9,8,10,3]=>[3,10,8,9,6,7,4,5,2,1]
[9,10,7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7,10,9]
[9,10,7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7,10,9]
[9,10,7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7,10,9]
[9,10,7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7,10,9]
[9,10,7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7,10,9]
[9,10,7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7,10,9]
[9,10,7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7,10,9]
[9,10,7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7,10,9]
[9,10,7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7,10,9]
[9,10,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,10,9]
[9,7,10,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,10,7,9]
[9,7,10,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,10,7,9]
[9,7,10,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,10,7,9]
[9,7,10,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,10,7,9]
[9,7,10,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,10,7,9]
[9,7,10,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,10,7,9]
[9,7,10,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,10,7,9]
[9,7,10,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,10,7,9]
[9,7,10,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,10,7,9]
[9,7,10,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,10,7,9]
[9,7,5,10,8,6,3,4,1,2]=>[2,1,4,3,6,8,10,5,7,9]
[9,7,5,10,8,6,3,1,4,2]=>[2,4,1,3,6,8,10,5,7,9]
[9,7,5,10,8,3,6,4,1,2]=>[2,1,4,6,3,8,10,5,7,9]
[9,7,5,10,8,3,6,1,4,2]=>[2,4,1,6,3,8,10,5,7,9]
[9,7,5,10,8,3,1,6,4,2]=>[2,4,6,1,3,8,10,5,7,9]
[9,7,5,10,3,8,6,4,1,2]=>[2,1,4,6,8,3,10,5,7,9]
[9,7,5,10,3,8,6,1,4,2]=>[2,4,1,6,8,3,10,5,7,9]
[9,7,5,10,3,8,1,6,4,2]=>[2,4,6,1,8,3,10,5,7,9]
[9,7,5,10,3,1,8,6,4,2]=>[2,4,6,8,1,3,10,5,7,9]
[9,7,5,3,10,8,6,4,1,2]=>[2,1,4,6,8,10,3,5,7,9]
[9,7,5,3,10,8,6,1,4,2]=>[2,4,1,6,8,10,3,5,7,9]
[9,7,5,3,10,8,1,6,4,2]=>[2,4,6,1,8,10,3,5,7,9]
[9,7,5,3,10,1,8,6,4,2]=>[2,4,6,8,1,10,3,5,7,9]
[5,6,7,8,10,9,4,3,2,1]=>[1,2,3,4,9,10,8,7,6,5]
[6,5,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,5,6]
[4,5,6,7,8,10,9,3,2,1]=>[1,2,3,9,10,8,7,6,5,4]
[5,4,6,7,8,9,10,3,2,1]=>[1,2,3,10,9,8,7,6,4,5]
[3,4,5,6,7,9,10,8,1,2]=>[2,1,8,10,9,7,6,5,4,3]
[3,4,5,6,8,9,10,7,1,2]=>[2,1,7,10,9,8,6,5,4,3]
[3,4,6,7,8,9,10,5,1,2]=>[2,1,5,10,9,8,7,6,4,3]
[3,5,6,7,8,9,10,4,1,2]=>[2,1,4,10,9,8,7,6,5,3]
[3,4,5,6,7,10,1,8,9,2]=>[2,9,8,1,10,7,6,5,4,3]
[3,4,5,6,9,1,10,8,7,2]=>[2,7,8,10,1,9,6,5,4,3]
[3,4,5,8,1,9,10,7,6,2]=>[2,6,7,10,9,1,8,5,4,3]
[3,4,7,1,8,9,10,5,6,2]=>[2,6,5,10,9,8,1,7,4,3]
[3,6,1,7,8,9,10,5,4,2]=>[2,4,5,10,9,8,7,1,6,3]
[5,1,6,7,8,9,10,4,3,2]=>[2,3,4,10,9,8,7,6,1,5]
[1,3,4,5,6,7,8,2,9,10]=>[10,9,2,8,7,6,5,4,3,1]
[1,2,3,4,5,10,6,9,8,7]=>[7,8,9,6,10,5,4,3,2,1]
[1,2,3,4,10,5,6,9,7,8]=>[8,7,9,6,5,10,4,3,2,1]
[1,2,3,4,10,5,6,9,8,7]=>[7,8,9,6,5,10,4,3,2,1]
[1,2,3,4,10,5,9,8,7,6]=>[6,7,8,9,5,10,4,3,2,1]
[1,2,3,10,4,5,6,9,8,7]=>[7,8,9,6,5,4,10,3,2,1]
[1,2,3,10,4,5,9,6,7,8]=>[8,7,6,9,5,4,10,3,2,1]
[1,2,3,10,4,5,9,8,7,6]=>[6,7,8,9,5,4,10,3,2,1]
[1,2,3,10,4,9,5,8,7,6]=>[6,7,8,5,9,4,10,3,2,1]
[1,2,3,10,4,9,8,7,6,5]=>[5,6,7,8,9,4,10,3,2,1]
[1,2,10,3,4,9,5,6,8,7]=>[7,8,6,5,9,4,3,10,2,1]
[1,2,10,3,4,9,5,8,6,7]=>[7,6,8,5,9,4,3,10,2,1]
[1,2,10,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,10,2,1]
[1,2,10,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,10,2,1]
[1,2,10,3,9,4,8,7,6,5]=>[5,6,7,8,4,9,3,10,2,1]
[1,2,10,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,10,2,1]
[1,10,2,9,3,8,4,7,6,5]=>[5,6,7,4,8,3,9,2,10,1]
[1,10,2,9,3,8,7,6,5,4]=>[4,5,6,7,8,3,9,2,10,1]
[1,10,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,10,1]
[10,1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1,10]
[9,1,8,2,10,3,4,5,6,7]=>[7,6,5,4,3,10,2,8,1,9]
[10,1,9,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,9,1,10]
[9,1,8,2,7,3,10,4,5,6]=>[6,5,4,10,3,7,2,8,1,9]
[8,1,7,2,10,3,9,4,5,6]=>[6,5,4,9,3,10,2,7,1,8]
[8,1,7,2,9,3,10,4,5,6]=>[6,5,4,10,3,9,2,7,1,8]
[9,1,8,2,7,3,6,4,10,5]=>[5,10,4,6,3,7,2,8,1,9]
[8,1,7,2,6,3,10,4,9,5]=>[5,9,4,10,3,6,2,7,1,8]
[8,1,7,2,6,3,9,4,10,5]=>[5,10,4,9,3,6,2,7,1,8]
[7,1,6,2,9,3,8,4,10,5]=>[5,10,4,8,3,9,2,6,1,7]
[7,1,6,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,6,1,7]
[8,1,7,6,5,2,10,3,9,4]=>[4,9,3,10,2,5,6,7,1,8]
[8,1,7,6,5,2,9,3,10,4]=>[4,10,3,9,2,5,6,7,1,8]
[7,6,5,1,10,2,9,3,8,4]=>[4,8,3,9,2,10,1,5,6,7]
[7,6,5,1,8,2,9,3,10,4]=>[4,10,3,9,2,8,1,5,6,7]
[5,6,8,1,7,2,10,3,9,4]=>[4,9,3,10,2,7,1,8,6,5]
[5,6,8,1,7,2,9,3,10,4]=>[4,10,3,9,2,7,1,8,6,5]
[6,5,7,1,8,2,9,3,10,4]=>[4,10,3,9,2,8,1,7,5,6]
[9,4,5,6,8,1,7,2,10,3]=>[3,10,2,7,1,8,6,5,4,9]
[8,4,5,6,7,1,10,2,9,3]=>[3,9,2,10,1,7,6,5,4,8]
[8,4,5,6,7,1,9,2,10,3]=>[3,10,2,9,1,7,6,5,4,8]
[7,4,5,6,8,1,9,2,10,3]=>[3,10,2,9,1,8,6,5,4,7]
[7,4,6,5,9,1,8,2,10,3]=>[3,10,2,8,1,9,5,6,4,7]
[7,4,6,5,8,1,9,2,10,3]=>[3,10,2,9,1,8,5,6,4,7]
[6,4,7,5,8,1,9,2,10,3]=>[3,10,2,9,1,8,5,7,4,6]
[6,5,7,4,8,1,9,2,10,3]=>[3,10,2,9,1,8,4,7,5,6]
[5,6,8,3,7,4,9,1,10,2]=>[2,10,1,9,4,7,3,8,6,5]
[6,5,7,3,8,4,9,1,10,2]=>[2,10,1,9,4,8,3,7,5,6]
[6,5,7,4,8,3,9,1,10,2]=>[2,10,1,9,3,8,4,7,5,6]
[6,10,5,1,2,3,4,7,8,9]=>[9,8,7,4,3,2,1,5,10,6]
[10,5,4,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,4,5,10]
[10,9,3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3,9,10]
[10,9,4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4,9,10]
[10,3,4,5,6,7,9,8,2,1]=>[1,2,8,9,7,6,5,4,3,10]
[10,4,3,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,3,4,10]
[1,7,5,6,8,4,9,3,10,2]=>[2,10,3,9,4,8,6,5,7,1]
[1,2,3,4,5,8,6,9,7,10]=>[10,7,9,6,8,5,4,3,2,1]
[1,2,3,4,5,9,6,10,7,8]=>[8,7,10,6,9,5,4,3,2,1]
[1,2,3,4,5,8,9,10,6,7]=>[7,6,10,9,8,5,4,3,2,1]
[1,2,3,4,5,9,10,6,7,8]=>[8,7,6,10,9,5,4,3,2,1]
[9,1,2,8,4,5,10,7,3,6]=>[6,3,7,10,5,4,8,2,1,9]
[9,1,8,3,4,2,10,7,5,6]=>[6,5,7,10,2,4,3,8,1,9]
[8,1,7,3,4,10,6,2,5,9]=>[9,5,2,6,10,4,3,7,1,8]
[8,1,2,3,10,5,9,7,6,4]=>[4,6,7,9,5,10,3,2,1,8]
[8,1,2,10,4,5,9,7,3,6]=>[6,3,7,9,5,4,10,2,1,8]
[7,1,2,10,4,9,6,5,3,8]=>[8,3,5,6,9,4,10,2,1,7]
[8,1,10,3,4,2,9,7,5,6]=>[6,5,7,9,2,4,3,10,1,8]
[7,1,10,3,4,9,6,2,5,8]=>[8,5,2,6,9,4,3,10,1,7]
[10,1,2,9,4,5,8,7,3,6]=>[6,3,7,8,5,4,9,2,1,10]
[10,1,2,9,4,8,6,5,3,7]=>[7,3,5,6,8,4,9,2,1,10]
[10,1,9,3,4,2,8,7,5,6]=>[6,5,7,8,2,4,3,9,1,10]
[10,1,9,3,4,8,6,2,5,7]=>[7,5,2,6,8,4,3,9,1,10]
[9,1,8,3,4,7,6,2,5,10]=>[10,5,2,6,7,4,3,8,1,9]
[8,1,2,3,10,9,6,5,7,4]=>[4,7,5,6,9,10,3,2,1,8]
[8,1,2,10,4,9,6,3,7,5]=>[5,7,3,6,9,4,10,2,1,8]
[7,1,2,10,9,5,4,6,3,8]=>[8,3,6,4,5,9,10,2,1,7]
[8,1,10,3,2,9,6,4,7,5]=>[5,7,4,6,9,2,3,10,1,8]
[7,1,10,3,9,5,2,6,4,8]=>[8,4,6,2,5,9,3,10,1,7]
[10,1,2,3,9,8,6,5,7,4]=>[4,7,5,6,8,9,3,2,1,10]
[10,1,2,9,4,8,6,3,7,5]=>[5,7,3,6,8,4,9,2,1,10]
[10,1,2,9,8,5,4,6,3,7]=>[7,3,6,4,5,8,9,2,1,10]
[9,1,2,8,7,5,4,6,3,10]=>[10,3,6,4,5,7,8,2,1,9]
[10,1,9,3,2,8,6,4,7,5]=>[5,7,4,6,8,2,3,9,1,10]
[10,1,9,3,8,5,2,6,4,7]=>[7,4,6,2,5,8,3,9,1,10]
[9,1,8,3,7,5,2,6,4,10]=>[10,4,6,2,5,7,3,8,1,9]
[10,1,9,8,4,3,5,2,6,7]=>[7,6,2,5,3,4,8,9,1,10]
[9,1,8,7,4,3,5,2,6,10]=>[10,6,2,5,3,4,7,8,1,9]
[8,10,2,1,3,9,6,4,7,5]=>[5,7,4,6,9,3,1,2,10,8]
[7,10,2,1,9,5,3,6,4,8]=>[8,4,6,3,5,9,1,2,10,7]
[10,9,2,1,3,8,6,4,7,5]=>[5,7,4,6,8,3,1,2,9,10]
[10,9,2,1,8,5,3,6,4,7]=>[7,4,6,3,5,8,1,2,9,10]
[9,8,2,1,7,5,3,6,4,10]=>[10,4,6,3,5,7,1,2,8,9]
[10,9,2,8,4,1,5,3,6,7]=>[7,6,3,5,1,4,8,2,9,10]
[10,8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8,10]
[10,9,7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7,9,10]
[6,4,2,1,3,5,8,7,10,9]=>[9,10,7,8,5,3,1,2,4,6]
[8,6,4,2,1,3,5,7,10,9]=>[9,10,7,5,3,1,2,4,6,8]
[9,8,6,4,2,1,3,5,7,10]=>[10,7,5,3,1,2,4,6,8,9]
[7,6,4,2,1,3,5,9,8,10]=>[10,8,9,5,3,1,2,4,6,7]
[5,4,2,1,3,7,6,9,8,10]=>[10,8,9,6,7,3,1,2,4,5]
[9,8,7,4,6,5,3,2,1,10]=>[10,1,2,3,5,6,4,7,8,9]
[10,9,8,4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4,8,9,10]
[6,5,7,8,9,1,2,3,4,10]=>[10,4,3,2,1,9,8,7,5,6]
[1,7,6,8,9,10,2,3,4,5]=>[5,4,3,2,10,9,8,6,7,1]
[2,3,4,5,6,7,1,10,9,8]=>[8,9,10,1,7,6,5,4,3,2]
[2,3,4,5,6,1,7,10,9,8]=>[8,9,10,7,1,6,5,4,3,2]
[2,3,4,6,1,5,7,10,8,9]=>[9,8,10,7,5,1,6,4,3,2]
[2,3,4,1,5,6,7,10,9,8]=>[8,9,10,7,6,5,1,4,3,2]
[2,3,1,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,1,3,2]
[3,1,2,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,2,1,3]
[2,3,4,5,6,8,10,1,7,9]=>[9,7,1,10,8,6,5,4,3,2]
[3,4,5,6,8,1,9,10,7,2]=>[2,7,10,9,1,8,6,5,4,3]
[3,4,5,7,1,8,2,10,9,6]=>[6,9,10,2,8,1,7,5,4,3]
[2,3,5,1,6,4,7,10,8,9]=>[9,8,10,7,4,6,1,5,3,2]
[3,5,1,6,2,4,7,10,9,8]=>[8,9,10,7,4,2,6,1,5,3]
[4,1,5,2,3,6,7,10,9,8]=>[8,9,10,7,6,3,2,5,1,4]
[1,3,2,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,2,3,1]
[9,10,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,10,9]
[1,2,6,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,6,2,1]
[1,4,5,2,3,6,7,8,9,10]=>[10,9,8,7,6,3,2,5,4,1]
[1,4,2,7,3,5,6,8,9,10]=>[10,9,8,6,5,3,7,2,4,1]
[1,5,4,6,2,3,7,8,9,10]=>[10,9,8,7,3,2,6,4,5,1]
[1,4,2,3,9,5,6,7,8,10]=>[10,8,7,6,5,9,3,2,4,1]
[1,2,4,7,8,3,5,6,9,10]=>[10,9,6,5,3,8,7,4,2,1]
[1,5,4,2,8,3,6,7,9,10]=>[10,9,7,6,3,8,2,4,5,1]
[1,3,7,5,6,2,4,8,9,10]=>[10,9,8,4,2,6,5,7,3,1]
[1,6,5,4,7,2,3,8,9,10]=>[10,9,8,3,2,7,4,5,6,1]
[1,2,4,7,3,10,5,6,8,9]=>[9,8,6,5,10,3,7,4,2,1]
[1,5,4,2,3,10,6,7,8,9]=>[9,8,7,6,10,3,2,4,5,1]
[1,2,9,3,4,8,5,6,7,10]=>[10,7,6,5,8,4,3,9,2,1]
[1,6,5,4,2,9,3,7,8,10]=>[10,8,7,3,9,2,4,5,6,1]
[1,3,7,8,5,6,2,4,9,10]=>[10,9,4,2,6,5,8,7,3,1]
[1,7,6,5,4,8,2,3,9,10]=>[10,9,3,2,8,4,5,6,7,1]
[1,3,2,10,6,4,9,5,7,8]=>[8,7,5,9,4,6,10,2,3,1]
[1,2,4,9,5,8,10,3,6,7]=>[7,6,3,10,8,5,9,4,2,1]
[1,3,7,2,8,9,10,4,5,6]=>[6,5,4,10,9,8,2,7,3,1]
[1,7,6,5,4,2,10,3,8,9]=>[9,8,3,10,2,4,5,6,7,1]
[1,3,9,4,8,6,7,2,5,10]=>[10,5,2,7,6,8,4,9,3,1]
[1,3,8,7,9,5,6,2,4,10]=>[10,4,2,6,5,9,7,8,3,1]
[1,8,7,6,5,4,9,2,3,10]=>[10,3,2,9,4,5,6,7,8,1]
[1,3,5,10,8,9,6,7,2,4]=>[4,2,7,6,9,8,10,5,3,1]
[1,3,9,8,7,10,5,6,2,4]=>[4,2,6,5,10,7,8,9,3,1]
[1,9,8,7,6,5,4,10,2,3]=>[3,2,10,4,5,6,7,8,9,1]
[8,10,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,10,8]
[7,10,6,9,5,8,4,3,2,1]=>[1,2,3,4,8,5,9,6,10,7]
[9,7,10,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,10,7,9]
[6,10,5,9,4,8,3,7,2,1]=>[1,2,7,3,8,4,9,5,10,6]
[6,5,9,10,8,4,7,3,2,1]=>[1,2,3,7,4,8,10,9,5,6]
[6,8,10,5,7,9,4,3,2,1]=>[1,2,3,4,9,7,5,10,8,6]
[8,9,6,10,5,7,4,3,2,1]=>[1,2,3,4,7,5,10,6,9,8]
[5,4,9,10,3,8,7,2,6,1]=>[1,6,2,7,8,3,10,9,4,5]
[8,5,7,10,4,9,3,6,2,1]=>[1,2,6,3,9,4,10,7,5,8]
[8,5,4,9,10,7,3,6,2,1]=>[1,2,6,3,7,10,9,4,5,8]
[7,9,5,10,4,6,8,3,2,1]=>[1,2,3,8,6,4,10,5,9,7]
[8,7,4,10,3,9,2,6,1,5]=>[5,1,6,2,9,3,10,4,7,8]
[4,3,2,8,9,10,7,6,1,5]=>[5,1,6,7,10,9,8,2,3,4]
[4,7,10,3,6,9,2,5,8,1]=>[1,8,5,2,9,6,3,10,7,4]
[7,4,9,6,10,3,8,2,5,1]=>[1,5,2,8,3,10,6,9,4,7]
[7,8,4,3,9,10,6,2,5,1]=>[1,5,2,6,10,9,3,4,8,7]
[4,6,8,10,3,5,7,9,2,1]=>[1,2,9,7,5,3,10,8,6,4]
[6,7,8,9,4,10,3,5,2,1]=>[1,2,5,3,10,4,9,8,7,6]
[6,3,2,9,10,5,8,1,4,7]=>[7,4,1,8,5,10,9,2,3,6]
[6,8,3,5,7,10,2,9,1,4]=>[4,1,9,2,10,7,5,3,8,6]
[8,6,3,9,5,10,2,7,1,4]=>[4,1,7,2,10,5,9,3,6,8]
[6,7,8,3,2,9,10,5,1,4]=>[4,1,5,10,9,2,3,8,7,6]
[7,8,5,9,3,10,2,4,6,1]=>[1,6,4,2,10,3,9,5,8,7]
[5,6,7,8,9,3,10,2,4,1]=>[1,4,2,10,3,9,8,7,6,5]
[6,8,4,9,2,10,1,3,5,7]=>[7,5,3,1,10,2,9,4,8,6]
[6,7,8,4,9,2,10,1,3,5]=>[5,3,1,10,2,9,4,8,7,6]
[1,3,5,8,7,10,9,6,4,2]=>[2,4,6,9,10,7,8,5,3,1]
[1,3,6,5,9,10,8,7,4,2]=>[2,4,7,8,10,9,5,6,3,1]
[1,3,6,8,5,10,9,7,4,2]=>[2,4,7,9,10,5,8,6,3,1]
[1,3,7,6,5,10,9,8,4,2]=>[2,4,8,9,10,5,6,7,3,1]
[1,4,3,7,9,10,8,6,5,2]=>[2,5,6,8,10,9,7,3,4,1]
[1,4,3,8,7,10,9,6,5,2]=>[2,5,6,9,10,7,8,3,4,1]
[1,4,6,3,9,10,8,7,5,2]=>[2,5,7,8,10,9,3,6,4,1]
[1,4,6,8,3,10,9,7,5,2]=>[2,5,7,9,10,3,8,6,4,1]
[1,4,7,6,3,10,9,8,5,2]=>[2,5,8,9,10,3,6,7,4,1]
[1,5,4,3,9,10,8,7,6,2]=>[2,6,7,8,10,9,3,4,5,1]
[1,5,4,8,3,10,9,7,6,2]=>[2,6,7,9,10,3,8,4,5,1]
[1,5,7,4,3,10,9,8,6,2]=>[2,6,8,9,10,3,4,7,5,1]
[2,1,5,7,9,10,8,6,4,3]=>[3,4,6,8,10,9,7,5,1,2]
[2,1,5,8,7,10,9,6,4,3]=>[3,4,6,9,10,7,8,5,1,2]
[2,1,6,5,9,10,8,7,4,3]=>[3,4,7,8,10,9,5,6,1,2]
[2,1,6,8,5,10,9,7,4,3]=>[3,4,7,9,10,5,8,6,1,2]
[2,1,7,6,5,10,9,8,4,3]=>[3,4,8,9,10,5,6,7,1,2]
[2,4,1,7,9,10,8,6,5,3]=>[3,5,6,8,10,9,7,1,4,2]
[2,4,1,8,7,10,9,6,5,3]=>[3,5,6,9,10,7,8,1,4,2]
[2,4,6,1,9,10,8,7,5,3]=>[3,5,7,8,10,9,1,6,4,2]
[2,4,6,8,1,10,9,7,5,3]=>[3,5,7,9,10,1,8,6,4,2]
[2,4,7,6,1,10,9,8,5,3]=>[3,5,8,9,10,1,6,7,4,2]
[2,5,4,1,9,10,8,7,6,3]=>[3,6,7,8,10,9,1,4,5,2]
[2,5,4,8,1,10,9,7,6,3]=>[3,6,7,9,10,1,8,4,5,2]
[2,5,7,4,1,10,9,8,6,3]=>[3,6,8,9,10,1,4,7,5,2]
[2,6,5,4,1,10,9,8,7,3]=>[3,7,8,9,10,1,4,5,6,2]
[3,2,1,7,9,10,8,6,5,4]=>[4,5,6,8,10,9,7,1,2,3]
[3,2,1,8,7,10,9,6,5,4]=>[4,5,6,9,10,7,8,1,2,3]
[3,2,6,1,9,10,8,7,5,4]=>[4,5,7,8,10,9,1,6,2,3]
[3,2,6,8,1,10,9,7,5,4]=>[4,5,7,9,10,1,8,6,2,3]
[3,2,7,6,1,10,9,8,5,4]=>[4,5,8,9,10,1,6,7,2,3]
[3,5,2,1,9,10,8,7,6,4]=>[4,6,7,8,10,9,1,2,5,3]
[3,5,2,8,1,10,9,7,6,4]=>[4,6,7,9,10,1,8,2,5,3]
[3,5,7,2,1,10,9,8,6,4]=>[4,6,8,9,10,1,2,7,5,3]
[3,6,5,2,1,10,9,8,7,4]=>[4,7,8,9,10,1,2,5,6,3]
[4,3,2,1,9,10,8,7,6,5]=>[5,6,7,8,10,9,1,2,3,4]
[4,3,2,8,1,10,9,7,6,5]=>[5,6,7,9,10,1,8,2,3,4]
[4,3,7,2,1,10,9,8,6,5]=>[5,6,8,9,10,1,2,7,3,4]
[4,6,3,2,1,10,9,8,7,5]=>[5,7,8,9,10,1,2,3,6,4]
[7,1,2,3,4,5,8,10,6,9]=>[9,6,10,8,5,4,3,2,1,7]
[5,10,9,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,9,10,5]
[4,10,9,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,9,10,4]
[1,9,8,7,6,5,4,3,10,2]=>[2,10,3,4,5,6,7,8,9,1]
[10,2,9,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,9,2,10]
[10,8,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,8,10]
[7,1,2,3,4,5,6,9,8,10]=>[10,8,9,6,5,4,3,2,1,7]
[10,9,2,8,4,6,7,5,3,1]=>[1,3,5,7,6,4,8,2,9,10]
[2,4,5,1,6,7,8,9,10,3]=>[3,10,9,8,7,6,1,5,4,2]
[2,3,5,6,7,1,8,9,10,4]=>[4,10,9,8,1,7,6,5,3,2]
[5,3,6,1,2,7,8,9,10,4]=>[4,10,9,8,7,2,1,6,3,5]
[2,3,4,6,7,8,9,1,10,5]=>[5,10,1,9,8,7,6,4,3,2]
[6,3,4,7,1,8,2,9,10,5]=>[5,10,9,2,8,1,7,4,3,6]
[2,4,6,1,7,3,8,9,10,5]=>[5,10,9,8,3,7,1,6,4,2]
[6,4,1,7,2,3,8,9,10,5]=>[5,10,9,8,3,2,7,1,4,6]
[7,3,4,5,8,1,9,10,2,6]=>[6,2,10,9,1,8,5,4,3,7]
[2,4,7,5,8,9,1,3,10,6]=>[6,10,3,1,9,8,5,7,4,2]
[7,4,1,5,8,2,9,3,10,6]=>[6,10,3,9,2,8,5,1,4,7]
[7,3,5,8,1,2,4,9,10,6]=>[6,10,9,4,2,1,8,5,3,7]
[7,5,1,2,8,3,4,9,10,6]=>[6,10,9,4,3,8,2,1,5,7]
[2,4,8,5,6,1,9,3,10,7]=>[7,10,3,9,1,6,5,8,4,2]
[8,4,1,5,6,2,3,9,10,7]=>[7,10,9,3,2,6,5,1,4,8]
[2,3,5,6,8,1,9,10,4,7]=>[7,4,10,9,1,8,6,5,3,2]
[8,3,5,9,6,10,1,2,4,7]=>[7,4,2,1,10,6,9,5,3,8]
[8,5,1,2,6,9,3,10,4,7]=>[7,4,10,3,9,6,2,1,5,8]
[8,6,4,9,1,2,3,5,10,7]=>[7,10,5,3,2,1,9,4,6,8]
[8,6,1,2,3,9,4,5,10,7]=>[7,10,5,4,9,3,2,1,6,8]
[9,3,4,1,6,7,2,5,10,8]=>[8,10,5,2,7,6,1,4,3,9]
[2,4,6,9,7,1,3,10,5,8]=>[8,5,10,3,1,7,9,6,4,2]
[9,6,4,10,1,7,2,3,5,8]=>[8,5,3,2,7,1,10,4,6,9]
[9,6,1,2,3,7,4,5,10,8]=>[8,10,5,4,7,3,2,1,6,9]
[9,3,5,7,1,10,2,4,6,8]=>[8,6,4,2,10,1,7,5,3,9]
[9,7,5,1,10,2,3,4,6,8]=>[8,6,4,3,2,10,1,5,7,9]
[9,7,1,2,3,4,10,5,6,8]=>[8,6,5,10,4,3,2,1,7,9]
[10,8,4,1,6,2,3,5,7,9]=>[9,7,5,3,2,6,1,4,8,10]
[10,8,6,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,6,8,10]
[10,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,10]
[1,10,8,6,4,2,3,5,7,9]=>[9,7,5,3,2,4,6,8,10,1]
[7,9,5,3,1,2,4,8,6,10]=>[10,6,8,4,2,1,3,5,9,7]
[1,8,10,6,4,2,3,5,9,7]=>[7,9,5,3,2,4,6,10,8,1]
[1,3,2,5,6,4,8,9,10,7]=>[7,10,9,8,4,6,5,2,3,1]
[1,3,2,8,6,7,5,9,10,4]=>[4,10,9,5,7,6,8,2,3,1]
[1,5,4,3,6,2,8,9,10,7]=>[7,10,9,8,2,6,3,4,5,1]
[1,6,4,3,7,8,5,9,10,2]=>[2,10,9,5,8,7,3,4,6,1]
[1,8,6,5,4,7,3,9,10,2]=>[2,10,9,3,7,4,5,6,8,1]
[1,7,4,3,6,8,9,5,10,2]=>[2,10,5,9,8,6,3,4,7,1]
[1,6,9,5,4,7,8,2,10,3]=>[3,10,2,8,7,4,5,9,6,1]
[3,2,1,5,6,4,8,9,10,7]=>[7,10,9,8,4,6,5,1,2,3]
[3,2,1,8,6,7,5,9,10,4]=>[4,10,9,5,7,6,8,1,2,3]
[4,2,5,1,6,3,8,9,10,7]=>[7,10,9,8,3,6,1,5,2,4]
[4,2,6,1,7,8,5,9,10,3]=>[3,10,9,5,8,7,1,6,2,4]
[5,2,8,6,1,7,4,9,10,3]=>[3,10,9,4,7,1,6,8,2,5]
[4,2,7,1,6,8,9,5,10,3]=>[3,10,5,9,8,6,1,7,2,4]
[5,2,6,9,1,7,8,3,10,4]=>[4,10,3,8,7,1,9,6,2,5]
[5,4,3,2,6,1,8,9,10,7]=>[7,10,9,8,1,6,2,3,4,5]
[6,4,3,2,7,8,5,9,10,1]=>[1,10,9,5,8,7,2,3,4,6]
[6,5,3,7,2,8,4,9,10,1]=>[1,10,9,4,8,2,7,3,5,6]
[8,6,5,4,3,7,2,9,10,1]=>[1,10,9,2,7,3,4,5,6,8]
[7,4,3,2,6,8,9,5,10,1]=>[1,10,5,9,8,6,2,3,4,7]
[7,5,3,6,2,8,9,4,10,1]=>[1,10,4,9,8,2,6,3,5,7]
[6,9,5,4,3,7,8,1,10,2]=>[2,10,1,8,7,3,4,5,9,6]
[5,2,4,6,1,3,8,9,10,7]=>[7,10,9,8,3,1,6,4,2,5]
[5,2,4,7,1,8,3,9,10,6]=>[6,10,9,3,8,1,7,4,2,5]
[6,2,8,5,7,1,4,9,10,3]=>[3,10,9,4,1,7,5,8,2,6]
[5,2,4,8,1,7,9,3,10,6]=>[6,10,3,9,7,1,8,4,2,5]
[6,2,7,5,9,1,8,3,10,4]=>[4,10,3,8,1,9,5,7,2,6]
[4,6,3,5,1,2,8,9,10,7]=>[7,10,9,8,2,1,5,3,6,4]
[4,7,3,5,1,8,2,9,10,6]=>[6,10,9,2,8,1,5,3,7,4]
[5,7,3,6,8,4,2,9,10,1]=>[1,10,9,2,4,8,6,3,7,5]
[8,5,7,4,6,2,3,9,10,1]=>[1,10,9,3,2,6,4,7,5,8]
[4,8,3,5,1,7,9,2,10,6]=>[6,10,2,9,7,1,5,3,8,4]
[5,8,3,6,7,4,9,2,10,1]=>[1,10,2,9,4,7,6,3,8,5]
[7,5,9,4,6,2,8,1,10,3]=>[3,10,1,8,2,6,4,9,5,7]
[6,8,3,5,7,9,4,2,10,1]=>[1,10,2,4,9,7,5,3,8,6]
[5,9,6,4,8,7,3,1,10,2]=>[2,10,1,3,7,8,4,6,9,5]
[5,2,4,9,1,7,8,10,3,6]=>[6,3,10,8,7,1,9,4,2,5]
[6,2,7,5,8,1,10,9,4,3]=>[3,4,9,10,1,8,5,7,2,6]
[4,9,3,5,1,7,8,10,2,6]=>[6,2,10,8,7,1,5,3,9,4]
[5,9,3,6,7,4,8,10,2,1]=>[1,2,10,8,4,7,6,3,9,5]
[7,5,8,4,6,2,10,9,3,1]=>[1,3,9,10,2,6,4,8,5,7]
[6,9,3,5,7,8,4,10,2,1]=>[1,2,10,4,8,7,5,3,9,6]
[5,8,6,4,10,7,3,9,2,1]=>[1,2,9,3,7,10,4,6,8,5]
[7,8,10,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,10,8,7]
[10,8,7,5,3,1,9,6,4,2]=>[2,4,6,9,1,3,5,7,8,10]
[6,10,8,5,3,1,9,7,4,2]=>[2,4,7,9,1,3,5,8,10,6]
[6,4,10,8,3,1,9,7,5,2]=>[2,5,7,9,1,3,8,10,4,6]
[6,4,2,10,8,1,9,7,5,3]=>[3,5,7,9,1,8,10,2,4,6]
[6,4,2,10,8,9,7,5,3,1]=>[1,3,5,7,9,8,10,2,4,6]
[6,4,10,8,2,9,7,5,3,1]=>[1,3,5,7,9,2,8,10,4,6]
[6,10,8,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,8,10,6]
[8,6,4,2,10,9,7,5,3,1]=>[1,3,5,7,9,10,2,4,6,8]
[3,4,9,7,5,1,10,8,6,2]=>[2,6,8,10,1,5,7,9,4,3]
[4,2,9,1,7,5,3,10,8,6]=>[6,8,10,3,5,7,1,9,2,4]
[5,6,9,7,3,1,10,8,4,2]=>[2,4,8,10,1,3,7,9,6,5]
[6,4,9,3,7,5,1,10,8,2]=>[2,8,10,1,5,7,3,9,4,6]
[6,4,2,9,7,1,5,3,10,8]=>[8,10,3,5,1,7,9,2,4,6]
[2,3,6,4,9,1,7,5,10,8]=>[8,10,5,7,1,9,4,6,3,2]
[3,4,5,6,9,7,1,10,8,2]=>[2,8,10,1,7,9,6,5,4,3]
[4,5,6,2,9,1,7,3,10,8]=>[8,10,3,7,1,9,2,6,5,4]
[5,3,6,1,2,4,9,7,10,8]=>[8,10,7,9,4,2,1,6,3,5]
[7,1,8,2,9,5,3,10,6,4]=>[4,6,10,3,5,9,2,8,1,7]
[7,8,1,4,2,9,5,3,10,6]=>[6,10,3,5,9,2,4,1,8,7]
[8,6,9,5,7,3,1,10,4,2]=>[2,4,10,1,3,7,5,9,6,8]
[8,6,1,9,5,2,7,3,10,4]=>[4,10,3,7,2,5,9,1,6,8]
[8,6,4,9,7,3,5,1,10,2]=>[2,10,1,5,3,7,9,4,6,8]
[8,6,4,2,9,7,5,1,3,10]=>[10,3,1,5,7,9,2,4,6,8]
[2,3,8,6,4,9,7,1,5,10]=>[10,5,1,7,9,4,6,8,3,2]
[4,5,8,6,9,3,7,1,10,2]=>[2,10,1,7,3,9,6,8,5,4]
[4,5,8,6,2,9,7,1,3,10]=>[10,3,1,7,9,2,6,8,5,4]
[5,3,8,2,6,4,9,1,7,10]=>[10,7,1,9,4,6,2,8,3,5]
[2,3,4,5,8,6,9,1,7,10]=>[10,7,1,9,6,8,5,4,3,2]
[6,7,8,4,9,3,5,1,10,2]=>[2,10,1,5,3,9,4,8,7,6]
[6,7,8,4,2,9,5,1,3,10]=>[10,3,1,5,9,2,4,8,7,6]
[6,2,7,3,8,4,9,1,5,10]=>[10,5,1,9,4,8,3,7,2,6]
[7,5,8,3,4,6,9,1,10,2]=>[2,10,1,9,6,4,3,8,5,7]
[7,5,8,4,6,2,9,1,3,10]=>[10,3,1,9,2,6,4,8,5,7]
[7,5,3,8,6,1,2,4,9,10]=>[10,9,4,2,1,6,8,3,5,7]
[3,4,7,5,8,1,2,6,9,10]=>[10,9,6,2,1,8,5,7,4,3]
[4,5,6,7,8,2,9,1,3,10]=>[10,3,1,9,2,8,7,6,5,4]
[5,6,7,3,8,1,2,4,9,10]=>[10,9,4,2,1,8,3,7,6,5]
[6,4,7,1,2,3,5,8,9,10]=>[10,9,8,5,3,2,1,7,4,6]
[1,10,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,10,1]
[9,2,1,4,3,8,7,6,5,10]=>[10,5,6,7,8,3,4,1,2,9]
[9,2,1,6,5,4,3,8,7,10]=>[10,7,8,3,4,5,6,1,2,9]
[9,2,1,8,5,4,7,6,3,10]=>[10,3,6,7,4,5,8,1,2,9]
[9,4,3,2,1,6,5,8,7,10]=>[10,7,8,5,6,1,2,3,4,9]
[9,4,3,2,1,8,7,6,5,10]=>[10,5,6,7,8,1,2,3,4,9]
[9,6,3,2,5,4,1,8,7,10]=>[10,7,8,1,4,5,2,3,6,9]
[9,8,3,2,5,4,7,6,1,10]=>[10,1,6,7,4,5,2,3,8,9]
[9,8,3,2,7,6,5,4,1,10]=>[10,1,4,5,6,7,2,3,8,9]
[9,6,5,4,3,2,1,8,7,10]=>[10,7,8,1,2,3,4,5,6,9]
[9,8,5,4,3,2,7,6,1,10]=>[10,1,6,7,2,3,4,5,8,9]
[9,8,7,4,3,6,5,2,1,10]=>[10,1,2,5,6,3,4,7,8,9]
[10,6,3,2,9,5,4,8,7,1]=>[1,7,8,4,5,9,2,3,6,10]
[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]
[10,9,8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8,9,10]
[10,9,8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8,9,10]
[10,3,1,5,6,2,7,8,9,4]=>[4,9,8,7,2,6,5,1,3,10]
[10,3,1,5,6,9,7,8,4,2]=>[2,4,8,7,9,6,5,1,3,10]
[10,3,6,5,2,1,7,8,9,4]=>[4,9,8,7,1,2,5,6,3,10]
[10,3,6,5,9,1,7,8,4,2]=>[2,4,8,7,1,9,5,6,3,10]
[10,3,6,5,2,9,7,8,4,1]=>[1,4,8,7,9,2,5,6,3,10]
[10,3,6,5,8,1,7,4,9,2]=>[2,9,4,7,1,8,5,6,3,10]
[10,3,6,5,8,9,7,4,2,1]=>[1,2,4,7,9,8,5,6,3,10]
[3,1,10,5,6,2,7,8,9,4]=>[4,9,8,7,2,6,5,10,1,3]
[3,1,10,5,6,9,7,8,4,2]=>[2,4,8,7,9,6,5,10,1,3]
[3,6,10,5,2,1,7,8,9,4]=>[4,9,8,7,1,2,5,10,6,3]
[3,6,10,5,9,1,7,8,4,2]=>[2,4,8,7,1,9,5,10,6,3]
[3,6,10,5,2,9,7,8,4,1]=>[1,4,8,7,9,2,5,10,6,3]
[3,6,10,5,8,1,7,4,9,2]=>[2,9,4,7,1,8,5,10,6,3]
[3,6,10,5,8,9,7,4,2,1]=>[1,2,4,7,9,8,5,10,6,3]
[3,1,6,5,2,10,7,8,9,4]=>[4,9,8,7,10,2,5,6,1,3]
[3,1,6,5,9,10,7,8,4,2]=>[2,4,8,7,10,9,5,6,1,3]
[3,9,6,5,2,10,7,8,4,1]=>[1,4,8,7,10,2,5,6,9,3]
[3,1,6,5,2,9,7,8,4,10]=>[10,4,8,7,9,2,5,6,1,3]
[3,1,6,5,8,10,7,4,9,2]=>[2,9,4,7,10,8,5,6,1,3]
[3,9,6,5,8,10,7,4,2,1]=>[1,2,4,7,10,8,5,6,9,3]
[3,1,6,5,8,9,7,4,2,10]=>[10,2,4,7,9,8,5,6,1,3]
[3,5,10,2,6,1,7,8,9,4]=>[4,9,8,7,1,6,2,10,5,3]
[3,5,10,9,6,1,7,8,4,2]=>[2,4,8,7,1,6,9,10,5,3]
[3,5,10,2,6,9,7,8,4,1]=>[1,4,8,7,9,6,2,10,5,3]
[3,5,10,8,6,1,7,4,9,2]=>[2,9,4,7,1,6,8,10,5,3]
[3,5,10,8,6,9,7,4,2,1]=>[1,2,4,7,9,6,8,10,5,3]
[3,5,6,2,1,10,7,8,9,4]=>[4,9,8,7,10,1,2,6,5,3]
[3,5,6,9,1,10,7,8,4,2]=>[2,4,8,7,10,1,9,6,5,3]
[3,5,6,2,9,10,7,8,4,1]=>[1,4,8,7,10,9,2,6,5,3]
[3,5,6,2,1,9,7,8,4,10]=>[10,4,8,7,9,1,2,6,5,3]
[3,5,6,8,1,10,7,4,9,2]=>[2,9,4,7,10,1,8,6,5,3]
[3,5,6,8,9,10,7,4,2,1]=>[1,2,4,7,10,9,8,6,5,3]
[3,5,6,8,1,9,7,4,2,10]=>[10,2,4,7,9,1,8,6,5,3]
[3,5,6,2,8,10,7,4,9,1]=>[1,9,4,7,10,8,2,6,5,3]
[3,5,6,2,8,9,7,4,1,10]=>[10,1,4,7,9,8,2,6,5,3]
[3,5,10,7,6,1,4,8,9,2]=>[2,9,8,4,1,6,7,10,5,3]
[3,5,10,7,6,9,4,8,2,1]=>[1,2,8,4,9,6,7,10,5,3]
[3,5,6,7,1,10,4,8,9,2]=>[2,9,8,4,10,1,7,6,5,3]
[3,5,6,7,9,10,4,8,2,1]=>[1,2,8,4,10,9,7,6,5,3]
[3,5,6,7,1,9,4,8,2,10]=>[10,2,8,4,9,1,7,6,5,3]
[3,5,6,7,8,10,4,2,9,1]=>[1,9,2,4,10,8,7,6,5,3]
[4,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,4]
[10,4,2,9,8,7,6,5,1,3]=>[3,1,5,6,7,8,9,2,4,10]
[10,3,1,4,9,8,7,6,5,2]=>[2,5,6,7,8,9,4,1,3,10]
[5,3,10,9,8,7,6,1,4,2]=>[2,4,1,6,7,8,9,10,3,5]
[4,1,5,10,9,8,7,6,3,2]=>[2,3,6,7,8,9,10,5,1,4]
[9,2,10,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,10,2,9]
[1,8,7,6,5,4,3,2,9,10]=>[10,9,2,3,4,5,6,7,8,1]
[1,2,7,6,5,4,3,8,9,10]=>[10,9,8,3,4,5,6,7,2,1]
[6,7,8,9,1,2,3,5,4,10]=>[10,4,5,3,2,1,9,8,7,6]
[1,7,8,9,10,2,3,4,6,5]=>[5,6,4,3,2,10,9,8,7,1]
[10,1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1,10]
[2,3,5,4,7,6,9,8,1,10]=>[10,1,8,9,6,7,4,5,3,2]
[2,3,4,5,7,6,9,8,1,10]=>[10,1,8,9,6,7,5,4,3,2]
[1,3,5,6,7,8,9,10,4,2]=>[2,4,10,9,8,7,6,5,3,1]
[3,5,6,7,8,9,10,4,2,1]=>[1,2,4,10,9,8,7,6,5,3]
[1,3,4,6,7,8,9,10,5,2]=>[2,5,10,9,8,7,6,4,3,1]
[3,4,6,7,8,9,10,5,2,1]=>[1,2,5,10,9,8,7,6,4,3]
[4,6,7,8,9,10,5,3,2,1]=>[1,2,3,5,10,9,8,7,6,4]
[1,3,4,5,7,8,9,10,6,2]=>[2,6,10,9,8,7,5,4,3,1]
[3,4,5,7,8,9,10,6,2,1]=>[1,2,6,10,9,8,7,5,4,3]
[1,2,4,5,7,8,9,10,6,3]=>[3,6,10,9,8,7,5,4,2,1]
[2,4,5,7,8,9,10,6,3,1]=>[1,3,6,10,9,8,7,5,4,2]
[4,5,7,8,9,10,6,3,2,1]=>[1,2,3,6,10,9,8,7,5,4]
[1,3,5,7,8,9,10,6,4,2]=>[2,4,6,10,9,8,7,5,3,1]
[3,5,7,8,9,10,6,4,2,1]=>[1,2,4,6,10,9,8,7,5,3]
[5,7,8,9,10,6,4,3,2,1]=>[1,2,3,4,6,10,9,8,7,5]
[2,3,5,6,8,9,10,7,4,1]=>[1,4,7,10,9,8,6,5,3,2]
[1,3,5,6,8,9,10,7,4,2]=>[2,4,7,10,9,8,6,5,3,1]
[5,6,8,9,10,7,4,3,2,1]=>[1,2,3,4,7,10,9,8,6,5]
[2,4,6,8,9,10,7,5,3,1]=>[1,3,5,7,10,9,8,6,4,2]
[4,6,8,9,10,7,5,3,2,1]=>[1,2,3,5,7,10,9,8,6,4]
[6,8,9,10,7,5,4,3,2,1]=>[1,2,3,4,5,7,10,9,8,6]
[3,5,7,9,10,8,6,4,2,1]=>[1,2,4,6,8,10,9,7,5,3]
[5,7,9,10,8,6,4,3,2,1]=>[1,2,3,4,6,8,10,9,7,5]
[3,2,1,7,6,5,9,8,10,4]=>[4,10,8,9,5,6,7,1,2,3]
[3,2,7,6,5,1,9,8,10,4]=>[4,10,8,9,1,5,6,7,2,3]
[3,2,1,7,6,9,8,5,10,4]=>[4,10,5,8,9,6,7,1,2,3]
[3,2,7,6,1,9,8,5,10,4]=>[4,10,5,8,9,1,6,7,2,3]
[3,2,7,6,9,8,5,1,10,4]=>[4,10,1,5,8,9,6,7,2,3]
[3,7,6,2,1,9,8,5,10,4]=>[4,10,5,8,9,1,2,6,7,3]
[3,7,6,2,9,8,5,1,10,4]=>[4,10,1,5,8,9,2,6,7,3]
[3,2,1,7,6,5,9,10,8,4]=>[4,8,10,9,5,6,7,1,2,3]
[3,2,7,6,5,1,9,10,8,4]=>[4,8,10,9,1,5,6,7,2,3]
[3,2,1,7,6,9,5,10,8,4]=>[4,8,10,5,9,6,7,1,2,3]
[3,2,7,6,1,9,5,10,8,4]=>[4,8,10,5,9,1,6,7,2,3]
[3,2,7,6,9,5,1,10,8,4]=>[4,8,10,1,5,9,6,7,2,3]
[3,7,6,2,1,9,5,10,8,4]=>[4,8,10,5,9,1,2,6,7,3]
[3,7,6,2,9,5,1,10,8,4]=>[4,8,10,1,5,9,2,6,7,3]
[3,2,1,7,6,9,10,8,5,4]=>[4,5,8,10,9,6,7,1,2,3]
[3,2,7,6,1,9,10,8,5,4]=>[4,5,8,10,9,1,6,7,2,3]
[3,2,7,6,9,1,10,8,5,4]=>[4,5,8,10,1,9,6,7,2,3]
[3,2,7,6,9,10,8,5,1,4]=>[4,1,5,8,10,9,6,7,2,3]
[3,7,6,2,1,9,10,8,5,4]=>[4,5,8,10,9,1,2,6,7,3]
[3,7,6,2,9,1,10,8,5,4]=>[4,5,8,10,1,9,2,6,7,3]
[3,7,6,2,9,10,8,5,1,4]=>[4,1,5,8,10,9,2,6,7,3]
[3,2,1,7,9,6,5,10,8,4]=>[4,8,10,5,6,9,7,1,2,3]
[3,2,7,1,9,6,5,10,8,4]=>[4,8,10,5,6,9,1,7,2,3]
[3,2,7,9,6,5,1,10,8,4]=>[4,8,10,1,5,6,9,7,2,3]
[3,7,2,1,9,6,5,10,8,4]=>[4,8,10,5,6,9,1,2,7,3]
[3,7,2,9,6,5,1,10,8,4]=>[4,8,10,1,5,6,9,2,7,3]
[3,2,1,7,9,6,10,8,5,4]=>[4,5,8,10,6,9,7,1,2,3]
[3,2,7,1,9,6,10,8,5,4]=>[4,5,8,10,6,9,1,7,2,3]
[3,2,7,9,6,1,10,8,5,4]=>[4,5,8,10,1,6,9,7,2,3]
[3,2,7,9,6,10,8,5,1,4]=>[4,1,5,8,10,6,9,7,2,3]
[3,7,2,1,9,6,10,8,5,4]=>[4,5,8,10,6,9,1,2,7,3]
[3,7,2,9,6,10,8,5,1,4]=>[4,1,5,8,10,6,9,2,7,3]
[3,7,9,6,2,1,10,8,5,4]=>[4,5,8,10,1,2,6,9,7,3]
[3,7,9,6,2,10,8,5,1,4]=>[4,1,5,8,10,2,6,9,7,3]
[7,3,2,1,9,6,5,10,8,4]=>[4,8,10,5,6,9,1,2,3,7]
[7,3,2,9,6,5,1,10,8,4]=>[4,8,10,1,5,6,9,2,3,7]
[7,3,2,1,9,6,10,8,5,4]=>[4,5,8,10,6,9,1,2,3,7]
[7,3,2,9,6,1,10,8,5,4]=>[4,5,8,10,1,6,9,2,3,7]
[7,3,2,9,6,10,8,5,1,4]=>[4,1,5,8,10,6,9,2,3,7]
[7,3,9,6,2,1,10,8,5,4]=>[4,5,8,10,1,2,6,9,3,7]
[7,3,9,6,2,10,8,5,1,4]=>[4,1,5,8,10,2,6,9,3,7]
[2,1,9,10,5,7,8,6,4,3]=>[3,4,6,8,7,5,10,9,1,2]
[4,1,9,10,3,7,8,6,5,2]=>[2,5,6,8,7,3,10,9,1,4]
[9,2,10,1,4,7,8,6,5,3]=>[3,5,6,8,7,4,1,10,2,9]
[9,3,10,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,10,3,9]
[1,3,6,9,10,5,8,7,4,2]=>[2,4,7,8,5,10,9,6,3,1]
[2,6,9,10,1,5,8,7,4,3]=>[3,4,7,8,5,1,10,9,6,2]
[1,4,9,10,3,6,8,7,5,2]=>[2,5,7,8,6,3,10,9,4,1]
[2,9,10,1,4,6,8,7,5,3]=>[3,5,7,8,6,4,1,10,9,2]
[9,3,10,2,8,1,6,7,5,4]=>[4,5,7,6,1,8,2,10,3,9]
[1,5,9,10,4,8,3,7,6,2]=>[2,6,7,3,8,4,10,9,5,1]
[2,9,10,1,5,8,4,7,6,3]=>[3,6,7,4,8,5,1,10,9,2]
[3,9,10,2,8,1,5,7,6,4]=>[4,6,7,5,1,8,2,10,9,3]
[4,9,10,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,10,9,4]
[1,3,5,8,10,7,9,6,4,2]=>[2,4,6,9,7,10,8,5,3,1]
[8,2,10,1,5,7,9,6,4,3]=>[3,4,6,9,7,5,1,10,2,8]
[1,4,8,10,3,7,9,6,5,2]=>[2,5,6,9,7,3,10,8,4,1]
[2,8,10,1,4,7,9,6,5,3]=>[3,5,6,9,7,4,1,10,8,2]
[3,8,10,2,7,9,1,6,5,4]=>[4,5,6,1,9,7,2,10,8,3]
[1,3,6,10,5,8,9,7,4,2]=>[2,4,7,9,8,5,10,6,3,1]
[2,6,10,1,5,8,9,7,4,3]=>[3,4,7,9,8,5,1,10,6,2]
[1,4,10,3,6,8,9,7,5,2]=>[2,5,7,9,8,6,3,10,4,1]
[2,10,1,4,6,8,9,7,5,3]=>[3,5,7,9,8,6,4,1,10,2]
[3,8,10,2,9,1,6,7,5,4]=>[4,5,7,6,1,9,2,10,8,3]
[1,5,10,4,8,9,3,7,6,2]=>[2,6,7,3,9,8,4,10,5,1]
[2,10,1,5,8,9,4,7,6,3]=>[3,6,7,4,9,8,5,1,10,2]
[3,10,2,8,9,1,5,7,6,4]=>[4,6,7,5,1,9,8,2,10,3]
[4,10,3,8,9,2,7,1,6,5]=>[5,6,1,7,2,9,8,3,10,4]
[1,3,7,10,6,9,5,8,4,2]=>[2,4,8,5,9,6,10,7,3,1]
[2,7,10,1,6,9,5,8,4,3]=>[3,4,8,5,9,6,1,10,7,2]
[1,4,10,3,7,9,6,8,5,2]=>[2,5,8,6,9,7,3,10,4,1]
[2,10,1,4,7,9,6,8,5,3]=>[3,5,8,6,9,7,4,1,10,2]
[3,10,2,7,9,1,6,8,5,4]=>[4,5,8,6,1,9,7,2,10,3]
[1,5,10,4,9,3,7,8,6,2]=>[2,6,8,7,3,9,4,10,5,1]
[2,10,1,5,9,4,7,8,6,3]=>[3,6,8,7,4,9,5,1,10,2]
[3,10,2,9,1,5,7,8,6,4]=>[4,6,8,7,5,1,9,2,10,3]
[4,10,3,9,2,7,8,1,6,5]=>[5,6,1,8,7,2,9,3,10,4]
[1,6,10,5,9,4,8,3,7,2]=>[2,7,3,8,4,9,5,10,6,1]
[2,10,1,6,9,5,8,4,7,3]=>[3,7,4,8,5,9,6,1,10,2]
[3,10,2,9,1,6,8,5,7,4]=>[4,7,5,8,6,1,9,2,10,3]
[4,10,3,9,2,8,1,6,7,5]=>[5,7,6,1,8,2,9,3,10,4]
[1,3,2,5,7,4,9,6,10,8]=>[8,10,6,9,4,7,5,2,3,1]
[1,3,2,5,4,7,9,6,10,8]=>[8,10,6,9,7,4,5,2,3,1]
[7,8,9,10,1,6,2,3,4,5]=>[5,4,3,2,6,1,10,9,8,7]
[6,8,9,10,1,2,7,3,4,5]=>[5,4,3,7,2,1,10,9,8,6]
[6,7,9,10,1,2,3,8,4,5]=>[5,4,8,3,2,1,10,9,7,6]
[6,7,8,10,1,2,3,4,9,5]=>[5,9,4,3,2,1,10,8,7,6]
[6,7,8,10,4,1,2,3,9,5]=>[5,9,3,2,1,4,10,8,7,6]
[6,7,9,3,10,1,2,8,4,5]=>[5,4,8,2,1,10,3,9,7,6]
[6,7,9,10,4,1,2,8,3,5]=>[5,3,8,2,1,4,10,9,7,6]
[6,7,10,3,4,1,2,8,9,5]=>[5,9,8,2,1,4,3,10,7,6]
[6,8,2,9,10,1,7,3,4,5]=>[5,4,3,7,1,10,9,2,8,6]
[6,8,2,10,4,1,7,3,9,5]=>[5,9,3,7,1,4,10,2,8,6]
[6,8,9,3,10,1,7,2,4,5]=>[5,4,2,7,1,10,3,9,8,6]
[6,8,9,10,4,1,7,2,3,5]=>[5,3,2,7,1,4,10,9,8,6]
[6,8,10,3,4,1,7,2,9,5]=>[5,9,2,7,1,4,3,10,8,6]
[6,9,2,3,10,1,7,8,4,5]=>[5,4,8,7,1,10,3,2,9,6]
[6,9,2,10,4,1,7,8,3,5]=>[5,3,8,7,1,4,10,2,9,6]
[6,9,10,3,4,1,7,8,2,5]=>[5,2,8,7,1,4,3,10,9,6]
[6,10,2,3,4,1,7,8,9,5]=>[5,9,8,7,1,4,3,2,10,6]
[7,1,8,9,10,6,2,3,4,5]=>[5,4,3,2,6,10,9,8,1,7]
[7,1,8,10,4,6,2,3,9,5]=>[5,9,3,2,6,4,10,8,1,7]
[7,1,9,3,10,6,2,8,4,5]=>[5,4,8,2,6,10,3,9,1,7]
[7,1,9,10,4,6,2,8,3,5]=>[5,3,8,2,6,4,10,9,1,7]
[7,1,10,3,4,6,2,8,9,5]=>[5,9,8,2,6,4,3,10,1,7]
[7,8,2,9,10,6,1,3,4,5]=>[5,4,3,1,6,10,9,2,8,7]
[7,8,2,10,4,6,1,3,9,5]=>[5,9,3,1,6,4,10,2,8,7]
[7,8,9,3,10,6,1,2,4,5]=>[5,4,2,1,6,10,3,9,8,7]
[7,8,9,10,4,6,1,2,3,5]=>[5,3,2,1,6,4,10,9,8,7]
[7,8,10,3,4,6,1,2,9,5]=>[5,9,2,1,6,4,3,10,8,7]
[7,9,2,3,10,6,1,8,4,5]=>[5,4,8,1,6,10,3,2,9,7]
[7,9,2,10,4,6,1,8,3,5]=>[5,3,8,1,6,4,10,2,9,7]
[7,9,10,3,4,6,1,8,2,5]=>[5,2,8,1,6,4,3,10,9,7]
[7,10,2,3,4,6,1,8,9,5]=>[5,9,8,1,6,4,3,2,10,7]
[8,1,2,9,10,6,7,3,4,5]=>[5,4,3,7,6,10,9,2,1,8]
[8,1,2,10,4,6,7,3,9,5]=>[5,9,3,7,6,4,10,2,1,8]
[8,1,9,3,10,6,7,2,4,5]=>[5,4,2,7,6,10,3,9,1,8]
[8,1,9,10,4,6,7,2,3,5]=>[5,3,2,7,6,4,10,9,1,8]
[8,1,10,3,4,6,7,2,9,5]=>[5,9,2,7,6,4,3,10,1,8]
[8,9,2,3,10,6,7,1,4,5]=>[5,4,1,7,6,10,3,2,9,8]
[8,9,2,10,4,6,7,1,3,5]=>[5,3,1,7,6,4,10,2,9,8]
[8,9,10,3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3,10,9,8]
[8,10,2,3,4,6,7,1,9,5]=>[5,9,1,7,6,4,3,2,10,8]
[9,1,2,3,10,6,7,8,4,5]=>[5,4,8,7,6,10,3,2,1,9]
[9,1,2,10,4,6,7,8,3,5]=>[5,3,8,7,6,4,10,2,1,9]
[9,1,10,3,4,6,7,8,2,5]=>[5,2,8,7,6,4,3,10,1,9]
[9,10,2,3,4,6,7,8,1,5]=>[5,1,8,7,6,4,3,2,10,9]
[9,8,7,10,6,4,5,2,3,1]=>[1,3,2,5,4,6,10,7,8,9]
[9,8,7,10,5,6,4,2,3,1]=>[1,3,2,4,6,5,10,7,8,9]
[9,8,7,6,10,5,4,2,3,1]=>[1,3,2,4,5,10,6,7,8,9]
[8,10,9,5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5,9,10,8]
[7,10,9,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,9,10,7]
[9,8,7,10,5,6,3,4,2,1]=>[1,2,4,3,6,5,10,7,8,9]
[9,8,7,6,10,5,3,4,2,1]=>[1,2,4,3,5,10,6,7,8,9]
[7,10,9,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,9,10,7]
[6,10,9,8,7,4,5,3,2,1]=>[1,2,3,5,4,7,8,9,10,6]
[9,8,7,6,10,4,5,3,2,1]=>[1,2,3,5,4,10,6,7,8,9]
[6,1,2,3,4,5,9,7,8,10]=>[10,8,7,9,5,4,3,2,1,6]
[6,1,2,3,4,5,8,7,9,10]=>[10,9,7,8,5,4,3,2,1,6]
[5,1,2,3,4,9,6,7,8,10]=>[10,8,7,6,9,4,3,2,1,5]
[5,1,2,3,4,8,6,7,10,9]=>[9,10,7,6,8,4,3,2,1,5]
[5,1,2,3,4,8,6,7,9,10]=>[10,9,7,6,8,4,3,2,1,5]
[5,1,2,3,4,7,6,9,8,10]=>[10,8,9,6,7,4,3,2,1,5]
[5,1,2,3,4,7,6,8,9,10]=>[10,9,8,6,7,4,3,2,1,5]
[4,1,2,3,8,5,6,7,9,10]=>[10,9,7,6,5,8,3,2,1,4]
[4,1,2,3,7,5,6,10,8,9]=>[9,8,10,6,5,7,3,2,1,4]
[4,1,2,3,7,5,6,9,8,10]=>[10,8,9,6,5,7,3,2,1,4]
[4,1,2,3,7,5,6,8,9,10]=>[10,9,8,6,5,7,3,2,1,4]
[4,1,2,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,2,1,4]
[4,1,2,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,2,1,4]
[3,1,2,6,4,5,9,7,8,10]=>[10,8,7,9,5,4,6,2,1,3]
[3,1,2,6,4,5,8,7,10,9]=>[9,10,7,8,5,4,6,2,1,3]
[3,1,2,6,4,5,8,7,9,10]=>[10,9,7,8,5,4,6,2,1,3]
[3,1,2,6,4,5,7,8,9,10]=>[10,9,8,7,5,4,6,2,1,3]
[3,1,2,5,4,7,6,8,9,10]=>[10,9,8,6,7,4,5,2,1,3]
[3,1,2,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,2,1,3]
[3,4,5,6,8,7,9,10,1,2]=>[2,1,10,9,7,8,6,5,4,3]
[10,8,6,4,5,7,3,9,2,1]=>[1,2,9,3,7,5,4,6,8,10]
[3,10,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,10,3]
[4,10,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,10,4]
[1,4,10,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,10,4,1]
[2,4,10,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,10,4,2]
[1,2,4,10,5,6,7,8,9,3]=>[3,9,8,7,6,5,10,4,2,1]
[5,10,6,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,6,10,5]
[1,5,10,6,7,8,9,2,3,4]=>[4,3,2,9,8,7,6,10,5,1]
[2,5,10,6,7,8,9,3,4,1]=>[1,4,3,9,8,7,6,10,5,2]
[1,2,5,10,6,7,8,9,3,4]=>[4,3,9,8,7,6,10,5,2,1]
[1,3,5,10,6,7,8,9,4,2]=>[2,4,9,8,7,6,10,5,3,1]
[1,2,3,5,10,6,7,8,9,4]=>[4,9,8,7,6,10,5,3,2,1]
[2,6,10,7,8,9,3,4,5,1]=>[1,5,4,3,9,8,7,10,6,2]
[1,2,6,10,7,8,9,3,4,5]=>[5,4,3,9,8,7,10,6,2,1]
[3,6,10,7,8,9,4,5,1,2]=>[2,1,5,4,9,8,7,10,6,3]
[1,3,6,10,7,8,9,4,5,2]=>[2,5,4,9,8,7,10,6,3,1]
[1,2,3,6,10,7,8,9,4,5]=>[5,4,9,8,7,10,6,3,2,1]
[2,4,6,10,7,8,9,5,3,1]=>[1,3,5,9,8,7,10,6,4,2]
[1,2,4,6,10,7,8,9,5,3]=>[3,5,9,8,7,10,6,4,2,1]
[1,2,3,4,6,10,7,8,9,5]=>[5,9,8,7,10,6,4,3,2,1]
[1,4,7,10,8,9,5,6,2,3]=>[3,2,6,5,9,8,10,7,4,1]
[2,4,7,10,8,9,5,6,3,1]=>[1,3,6,5,9,8,10,7,4,2]
[1,2,4,7,10,8,9,5,6,3]=>[3,6,5,9,8,10,7,4,2,1]
[1,2,3,4,7,10,8,9,5,6]=>[6,5,9,8,10,7,4,3,2,1]
[1,3,5,7,10,8,9,6,4,2]=>[2,4,6,9,8,10,7,5,3,1]
[1,2,3,5,7,10,8,9,6,4]=>[4,6,9,8,10,7,5,3,2,1]
[1,2,3,4,5,7,10,8,9,6]=>[6,9,8,10,7,5,4,3,2,1]
[2,4,6,8,10,9,7,5,3,1]=>[1,3,5,7,9,10,8,6,4,2]
[9,8,7,6,5,4,1,3,2,10]=>[10,2,3,1,4,5,6,7,8,9]
[9,8,7,6,5,1,4,3,2,10]=>[10,2,3,4,1,5,6,7,8,9]
[9,8,7,6,5,1,10,4,3,2]=>[2,3,4,10,1,5,6,7,8,9]
[9,8,7,6,1,10,5,4,3,2]=>[2,3,4,5,10,1,6,7,8,9]
[9,8,7,1,10,6,5,4,3,2]=>[2,3,4,5,6,10,1,7,8,9]
[3,1,4,5,6,7,8,9,2,10]=>[10,2,9,8,7,6,5,4,1,3]
[5,7,8,10,1,2,4,6,9,3]=>[3,9,6,4,2,1,10,8,7,5]
[5,6,8,10,1,2,3,7,9,4]=>[4,9,7,3,2,1,10,8,6,5]
[10,9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9,10]
[10,9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9,10]
[1,3,5,10,7,8,9,6,4,2]=>[2,4,6,9,8,7,10,5,3,1]
[1,3,9,5,6,10,8,7,4,2]=>[2,4,7,8,10,6,5,9,3,1]
[1,3,8,10,5,6,9,7,4,2]=>[2,4,7,9,6,5,10,8,3,1]
[1,3,10,9,5,6,7,8,4,2]=>[2,4,8,7,6,5,9,10,3,1]
[1,7,3,4,9,10,8,6,5,2]=>[2,5,6,8,10,9,4,3,7,1]
[1,10,3,4,7,8,9,6,5,2]=>[2,5,6,9,8,7,4,3,10,1]
[1,6,9,3,4,10,8,7,5,2]=>[2,5,7,8,10,4,3,9,6,1]
[1,6,8,10,3,4,9,7,5,2]=>[2,5,7,9,4,3,10,8,6,1]
[1,6,10,7,3,9,4,8,5,2]=>[2,5,8,4,9,3,7,10,6,1]
[1,9,10,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,10,9,1]
[1,8,10,3,9,4,5,7,6,2]=>[2,6,7,5,4,9,3,10,8,1]
[1,10,7,9,3,4,5,8,6,2]=>[2,6,8,5,4,3,9,7,10,1]
[1,10,9,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,9,10,1]
[5,1,2,7,9,10,8,6,4,3]=>[3,4,6,8,10,9,7,2,1,5]
[5,1,2,10,7,8,9,6,4,3]=>[3,4,6,9,8,7,10,2,1,5]
[9,1,2,5,6,10,8,7,4,3]=>[3,4,7,8,10,6,5,2,1,9]
[8,1,2,10,5,6,9,7,4,3]=>[3,4,7,9,6,5,10,2,1,8]
[10,1,2,9,5,6,7,8,4,3]=>[3,4,8,7,6,5,9,2,1,10]
[4,7,1,2,9,10,8,6,5,3]=>[3,5,6,8,10,9,2,1,7,4]
[4,10,1,2,7,8,9,6,5,3]=>[3,5,6,9,8,7,2,1,10,4]
[4,6,9,1,2,10,8,7,5,3]=>[3,5,7,8,10,2,1,9,6,4]
[4,6,8,10,1,2,9,7,5,3]=>[3,5,7,9,2,1,10,8,6,4]
[6,1,10,7,4,9,2,8,5,3]=>[3,5,8,2,9,4,7,10,1,6]
[4,9,5,1,10,2,8,7,6,3]=>[3,6,7,8,2,10,1,5,9,4]
[8,1,10,4,5,9,2,7,6,3]=>[3,6,7,2,9,5,4,10,1,8]
[4,10,7,5,1,9,2,8,6,3]=>[3,6,8,2,9,1,5,7,10,4]
[4,10,9,5,1,6,8,2,7,3]=>[3,7,2,8,6,1,5,9,10,4]
[7,9,1,2,3,10,8,6,5,4]=>[4,5,6,8,10,3,2,1,9,7]
[10,7,1,2,3,8,9,6,5,4]=>[4,5,6,9,8,3,2,1,7,10]
[6,9,1,10,2,3,8,7,5,4]=>[4,5,7,8,3,2,10,1,9,6]
[6,8,1,10,9,2,3,7,5,4]=>[4,5,7,3,2,9,10,1,8,6]
[6,10,1,7,9,2,8,3,5,4]=>[4,5,3,8,2,9,7,1,10,6]
[9,5,10,1,2,3,8,7,6,4]=>[4,6,7,8,3,2,1,10,5,9]
[8,10,1,5,9,2,3,7,6,4]=>[4,6,7,3,2,9,5,1,10,8]
[7,10,5,9,1,2,3,8,6,4]=>[4,6,8,3,2,1,9,5,10,7]
[10,5,9,6,1,2,8,3,7,4]=>[4,7,3,8,2,1,6,9,5,10]
[9,10,8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8,10,9]
[8,10,9,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,9,10,8]
[10,7,9,1,8,2,3,4,6,5]=>[5,6,4,3,2,8,1,9,7,10]
[10,9,6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6,9,10]
[1,2,4,3,5,6,7,8,10,9]=>[9,10,8,7,6,5,3,4,2,1]
[1,2,3,5,4,6,7,10,8,9]=>[9,8,10,7,6,4,5,3,2,1]
[1,2,3,4,6,5,7,8,10,9]=>[9,10,8,7,5,6,4,3,2,1]
[1,2,3,4,5,7,6,8,10,9]=>[9,10,8,6,7,5,4,3,2,1]
[1,2,3,4,5,6,10,8,7,9]=>[9,7,8,10,6,5,4,3,2,1]
[2,3,1,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,1,3,2]
[1,4,3,2,5,10,6,7,8,9]=>[9,8,7,6,10,5,2,3,4,1]
[1,2,10,5,4,3,6,7,8,9]=>[9,8,7,6,3,4,5,10,2,1]
[1,5,2,6,3,10,4,7,8,9]=>[9,8,7,4,10,3,6,2,5,1]
[1,7,2,3,6,4,10,5,8,9]=>[9,8,5,10,4,6,3,2,7,1]
[8,1,2,3,4,7,5,10,6,9]=>[9,6,10,5,7,4,3,2,1,8]
[1,2,3,4,5,8,6,9,10,7]=>[7,10,9,6,8,5,4,3,2,1]
[1,2,4,5,6,7,8,10,9,3]=>[3,9,10,8,7,6,5,4,2,1]
[1,2,3,5,6,7,9,10,4,8]=>[8,4,10,9,7,6,5,3,2,1]
[3,4,5,6,7,9,1,10,8,2]=>[2,8,10,1,9,7,6,5,4,3]
[2,4,5,6,7,1,9,10,8,3]=>[3,8,10,9,1,7,6,5,4,2]
[2,3,4,5,1,6,8,10,7,9]=>[9,7,10,8,6,1,5,4,3,2]
[2,3,4,1,6,7,9,10,8,5]=>[5,8,10,9,7,6,1,4,3,2]
[2,3,1,4,5,7,9,10,8,6]=>[6,8,10,9,7,5,4,1,3,2]
[3,10,2,9,1,8,7,6,5,4]=>[4,5,6,7,8,1,9,2,10,3]
[4,10,3,9,2,8,1,7,6,5]=>[5,6,7,1,8,2,9,3,10,4]
[7,6,5,4,3,2,10,9,8,1]=>[1,8,9,10,2,3,4,5,6,7]
[6,5,4,3,2,10,9,8,7,1]=>[1,7,8,9,10,2,3,4,5,6]
[5,4,3,2,10,9,8,7,6,1]=>[1,6,7,8,9,10,2,3,4,5]
[4,3,2,10,9,8,7,6,5,1]=>[1,5,6,7,8,9,10,2,3,4]
[7,9,1,2,3,4,6,5,10,8]=>[8,10,5,6,4,3,2,1,9,7]
[8,7,1,10,9,6,5,4,3,2]=>[2,3,4,5,6,9,10,1,7,8]
[2,3,4,5,6,8,10,7,9,1]=>[1,9,7,10,8,6,5,4,3,2]
[2,3,4,5,7,8,6,10,1,9]=>[9,1,10,6,8,7,5,4,3,2]
[2,3,4,6,7,5,8,10,1,9]=>[9,1,10,8,5,7,6,4,3,2]
[2,3,5,6,4,7,8,10,9,1]=>[1,9,10,8,7,4,6,5,3,2]
[2,4,5,3,6,7,8,10,1,9]=>[9,1,10,8,7,6,3,5,4,2]
[3,4,2,5,6,7,8,10,1,9]=>[9,1,10,8,7,6,5,2,4,3]
[5,1,4,2,6,7,8,9,10,3]=>[3,10,9,8,7,6,2,4,1,5]
[6,1,2,5,3,7,8,9,10,4]=>[4,10,9,8,7,3,5,2,1,6]
[7,1,2,3,6,4,8,9,10,5]=>[5,10,9,8,4,6,3,2,1,7]
[8,1,2,3,4,7,5,9,10,6]=>[6,10,9,5,7,4,3,2,1,8]
[9,1,2,3,4,5,8,6,10,7]=>[7,10,6,8,5,4,3,2,1,9]
[1,3,2,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,2,3,1]
[1,3,2,5,4,7,8,9,10,6]=>[6,10,9,8,7,4,5,2,3,1]
[9,1,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,1,9]
[5,6,7,8,9,1,2,3,10,4]=>[4,10,3,2,1,9,8,7,6,5]
[10,2,3,4,6,5,7,8,9,1]=>[1,9,8,7,5,6,4,3,2,10]
[5,1,2,10,3,4,6,7,8,9]=>[9,8,7,6,4,3,10,2,1,5]
[9,10,4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4,10,9]
[9,3,4,5,6,7,2,1,8,10]=>[10,8,1,2,7,6,5,4,3,9]
[8,9,4,5,6,3,2,1,7,10]=>[10,7,1,2,3,6,5,4,9,8]
[10,3,4,5,6,2,1,8,7,9]=>[9,7,8,1,2,6,5,4,3,10]
[8,3,4,5,6,2,1,7,9,10]=>[10,9,7,1,2,6,5,4,3,8]
[7,8,9,5,4,3,2,1,6,10]=>[10,6,1,2,3,4,5,9,8,7]
[10,8,4,5,3,2,1,7,6,9]=>[9,6,7,1,2,3,5,4,8,10]
[7,8,4,5,3,2,1,6,9,10]=>[10,9,6,1,2,3,5,4,8,7]
[9,3,4,5,2,1,7,6,8,10]=>[10,8,6,7,1,2,5,4,3,9]
[7,3,4,5,2,1,6,8,9,10]=>[10,9,8,6,1,2,5,4,3,7]
[10,7,8,4,3,2,1,6,5,9]=>[9,5,6,1,2,3,4,8,7,10]
[6,7,8,4,3,2,1,5,9,10]=>[10,9,5,1,2,3,4,8,7,6]
[9,10,4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4,10,9]
[9,7,4,3,2,1,6,5,8,10]=>[10,8,5,6,1,2,3,4,7,9]
[6,7,4,3,2,1,5,8,9,10]=>[10,9,8,5,1,2,3,4,7,6]
[10,3,4,2,1,6,5,8,7,9]=>[9,7,8,5,6,1,2,4,3,10]
[8,3,4,2,1,6,5,7,9,10]=>[10,9,7,5,6,1,2,4,3,8]
[6,3,4,2,1,5,7,8,9,10]=>[10,9,8,7,5,1,2,4,3,6]
[8,9,3,2,1,6,5,4,7,10]=>[10,7,4,5,6,1,2,3,9,8]
[10,6,3,2,1,5,4,8,7,9]=>[9,7,8,4,5,1,2,3,6,10]
[8,6,3,2,1,5,4,7,9,10]=>[10,9,7,4,5,1,2,3,6,8]
[5,6,3,2,1,4,7,8,9,10]=>[10,9,8,7,4,1,2,3,6,5]
[9,3,2,1,5,4,7,6,8,10]=>[10,8,6,7,4,5,1,2,3,9]
[7,3,2,1,5,4,6,8,9,10]=>[10,9,8,6,4,5,1,2,3,7]
[8,2,1,4,3,6,5,7,9,10]=>[10,9,7,5,6,3,4,1,2,8]
[6,2,1,4,3,5,7,8,9,10]=>[10,9,8,7,5,3,4,1,2,6]
[8,10,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,10,8]
[8,10,1,2,3,4,9,5,6,7]=>[7,6,5,9,4,3,2,1,10,8]
[8,10,1,2,3,9,4,5,6,7]=>[7,6,5,4,9,3,2,1,10,8]
[8,10,1,2,9,3,4,5,6,7]=>[7,6,5,4,3,9,2,1,10,8]
[8,10,1,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,1,10,8]
[8,10,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,10,8]
[1,10,9,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,9,10,1]
[1,3,4,6,8,10,2,5,7,9]=>[9,7,5,2,10,8,6,4,3,1]
[3,1,5,6,8,10,2,4,7,9]=>[9,7,4,2,10,8,6,5,1,3]
[3,5,1,7,8,10,2,4,6,9]=>[9,6,4,2,10,8,7,1,5,3]
[3,5,7,1,9,10,2,4,6,8]=>[8,6,4,2,10,9,1,7,5,3]
[3,5,7,1,9,2,4,6,8,10]=>[10,8,6,4,2,9,1,7,5,3]
[3,5,1,7,9,2,4,6,8,10]=>[10,8,6,4,2,9,7,1,5,3]
[3,1,5,7,9,2,4,6,8,10]=>[10,8,6,4,2,9,7,5,1,3]
[1,2,7,6,8,5,9,4,10,3]=>[3,10,4,9,5,8,6,7,2,1]
[1,3,2,7,8,6,9,5,10,4]=>[4,10,5,9,6,8,7,2,3,1]
[1,2,3,7,8,6,9,5,10,4]=>[4,10,5,9,6,8,7,3,2,1]
[1,3,4,2,8,7,9,6,10,5]=>[5,10,6,9,7,8,2,4,3,1]
[1,2,4,3,8,7,9,6,10,5]=>[5,10,6,9,7,8,3,4,2,1]
[1,2,3,4,8,7,9,6,10,5]=>[5,10,6,9,7,8,4,3,2,1]
[1,4,3,5,2,8,9,7,10,6]=>[6,10,7,9,8,2,5,3,4,1]
[2,1,4,5,3,8,9,7,10,6]=>[6,10,7,9,8,3,5,4,1,2]
[1,2,4,5,3,8,9,7,10,6]=>[6,10,7,9,8,3,5,4,2,1]
[1,3,2,5,4,8,9,7,10,6]=>[6,10,7,9,8,4,5,2,3,1]
[1,2,3,5,4,8,9,7,10,6]=>[6,10,7,9,8,4,5,3,2,1]
[1,2,3,4,5,8,9,7,10,6]=>[6,10,7,9,8,5,4,3,2,1]
[1,2,5,4,6,3,9,8,10,7]=>[7,10,8,9,3,6,4,5,2,1]
[2,3,1,5,6,4,9,8,10,7]=>[7,10,8,9,4,6,5,1,3,2]
[1,3,2,5,6,4,9,8,10,7]=>[7,10,8,9,4,6,5,2,3,1]
[1,2,3,5,6,4,9,8,10,7]=>[7,10,8,9,4,6,5,3,2,1]
[1,2,4,3,6,5,9,8,10,7]=>[7,10,8,9,5,6,3,4,2,1]
[1,2,3,4,6,5,9,8,10,7]=>[7,10,8,9,5,6,4,3,2,1]
[1,2,3,4,5,6,9,8,10,7]=>[7,10,8,9,6,5,4,3,2,1]
[1,3,4,2,6,7,5,9,10,8]=>[8,10,9,5,7,6,2,4,3,1]
[2,1,4,3,6,7,5,9,10,8]=>[8,10,9,5,7,6,3,4,1,2]
[1,2,3,4,6,7,5,9,10,8]=>[8,10,9,5,7,6,4,3,2,1]
[1,2,3,5,4,7,6,9,10,8]=>[8,10,9,6,7,4,5,3,2,1]
[1,2,3,4,5,7,6,9,10,8]=>[8,10,9,6,7,5,4,3,2,1]
[10,4,3,2,7,6,5,9,8,1]=>[1,8,9,5,6,7,2,3,4,10]
[10,9,7,4,8,6,3,5,2,1]=>[1,2,5,3,6,8,4,7,9,10]
[6,3,2,9,5,1,10,8,4,7]=>[7,4,8,10,1,5,9,2,3,6]
[8,3,2,10,6,5,7,1,9,4]=>[4,9,1,7,5,6,10,2,3,8]
[9,8,3,10,6,5,7,2,1,4]=>[4,1,2,7,5,6,10,3,8,9]
[9,8,3,10,7,6,5,2,1,4]=>[4,1,2,5,6,7,10,3,8,9]
[10,8,3,9,5,7,6,2,4,1]=>[1,4,2,6,7,5,9,3,8,10]
[10,9,3,8,5,6,7,4,2,1]=>[1,2,4,7,6,5,8,3,9,10]
[6,2,8,4,9,1,10,3,5,7]=>[7,5,3,10,1,9,4,8,2,6]
[8,2,9,4,10,6,7,1,3,5]=>[5,3,1,7,6,10,4,9,2,8]
[7,10,9,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,9,10,7]
[9,10,5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5,10,9]
[5,10,9,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,9,10,5]
[9,10,7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7,10,9]
[7,10,9,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,9,10,7]
[9,10,3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3,10,9]
[7,10,9,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,9,10,7]
[2,3,4,1,6,7,5,9,8,10]=>[10,8,9,5,7,6,1,4,3,2]
[2,3,7,5,6,1,4,9,8,10]=>[10,8,9,4,1,6,5,7,3,2]
[2,3,4,1,6,9,8,5,7,10]=>[10,7,5,8,9,6,1,4,3,2]
[2,3,6,5,9,1,8,4,7,10]=>[10,7,4,8,1,9,5,6,3,2]
[2,3,9,5,8,7,4,1,6,10]=>[10,6,1,4,7,8,5,9,3,2]
[2,5,4,6,9,3,8,1,7,10]=>[10,7,1,8,3,9,6,4,5,2]
[2,5,4,9,8,7,3,6,1,10]=>[10,1,6,3,7,8,9,4,5,2]
[2,3,4,1,6,7,5,10,8,9]=>[9,8,10,5,7,6,1,4,3,2]
[2,3,7,5,6,1,4,10,8,9]=>[9,8,10,4,1,6,5,7,3,2]
[2,3,4,1,6,8,10,5,7,9]=>[9,7,5,10,8,6,1,4,3,2]
[2,3,6,5,8,1,10,4,7,9]=>[9,7,4,10,1,8,5,6,3,2]
[2,3,8,5,7,10,1,4,6,9]=>[9,6,4,1,10,7,5,8,3,2]
[2,5,4,6,8,3,10,1,7,9]=>[9,7,1,10,3,8,6,4,5,2]
[2,5,4,8,7,10,3,1,6,9]=>[9,6,1,3,10,7,8,4,5,2]
[2,3,4,1,6,10,9,7,5,8]=>[8,5,7,9,10,6,1,4,3,2]
[2,3,6,5,10,1,9,7,4,8]=>[8,4,7,9,1,10,5,6,3,2]
[2,3,7,5,10,9,1,6,4,8]=>[8,4,6,1,9,10,5,7,3,2]
[2,3,10,5,9,8,6,4,1,7]=>[7,1,4,6,8,9,5,10,3,2]
[2,5,4,6,10,3,9,7,1,8]=>[8,1,7,9,3,10,6,4,5,2]
[2,5,4,7,10,9,3,6,1,8]=>[8,1,6,3,9,10,7,4,5,2]
[2,5,4,10,9,8,6,3,7,1]=>[1,7,3,6,8,9,10,4,5,2]
[2,3,4,1,7,8,10,6,5,9]=>[9,5,6,10,8,7,1,4,3,2]
[2,3,5,7,1,8,10,6,4,9]=>[9,4,6,10,8,1,7,5,3,2]
[2,3,8,6,7,10,1,5,4,9]=>[9,4,5,1,10,7,6,8,3,2]
[2,4,5,7,3,8,10,6,1,9]=>[9,1,6,10,8,3,7,5,4,2]
[2,4,8,6,7,10,1,3,5,9]=>[9,5,3,1,10,7,6,8,4,2]
[2,3,4,1,7,10,9,6,8,5]=>[5,8,6,9,10,7,1,4,3,2]
[2,3,5,7,1,10,9,6,8,4]=>[4,8,6,9,10,1,7,5,3,2]
[2,3,7,6,10,9,1,5,8,4]=>[4,8,5,1,9,10,6,7,3,2]
[2,3,10,6,9,8,5,7,1,4]=>[4,1,7,5,8,9,6,10,3,2]
[2,4,5,7,3,10,9,6,8,1]=>[1,8,6,9,10,3,7,5,4,2]
[2,4,7,6,10,9,3,5,8,1]=>[1,8,5,3,9,10,6,7,4,2]
[2,4,10,6,9,8,5,7,3,1]=>[1,3,7,5,8,9,6,10,4,2]
[2,6,5,7,10,9,4,3,8,1]=>[1,8,3,4,9,10,7,5,6,2]
[2,6,5,10,9,8,4,7,1,3]=>[3,1,7,4,8,9,10,5,6,2]
[3,4,5,7,1,8,10,6,2,9]=>[9,2,6,10,8,1,7,5,4,3]
[3,4,8,6,7,10,1,5,2,9]=>[9,2,5,1,10,7,6,8,4,3]
[3,4,5,7,1,10,9,6,8,2]=>[2,8,6,9,10,1,7,5,4,3]
[3,4,7,6,10,9,1,5,8,2]=>[2,8,5,1,9,10,6,7,4,3]
[3,4,10,6,9,8,5,7,1,2]=>[2,1,7,5,8,9,6,10,4,3]
[3,6,5,7,10,9,4,2,1,8]=>[8,1,2,4,9,10,7,5,6,3]
[3,6,5,10,9,8,4,7,2,1]=>[1,2,7,4,8,9,10,5,6,3]
[6,1,2,3,4,10,5,7,8,9]=>[9,8,7,5,10,4,3,2,1,6]
[7,1,2,3,4,5,10,6,8,9]=>[9,8,6,10,5,4,3,2,1,7]
[2,3,4,5,6,7,9,8,10,1]=>[1,10,8,9,7,6,5,4,3,2]
[2,3,4,5,6,8,7,9,10,1]=>[1,10,9,7,8,6,5,4,3,2]
[2,3,5,4,6,7,8,9,10,1]=>[1,10,9,8,7,6,4,5,3,2]
[2,4,3,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,3,4,2]
[4,1,10,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,10,1,4]
[6,1,2,10,4,5,3,7,8,9]=>[9,8,7,3,5,4,10,2,1,6]
[5,4,1,10,2,3,6,7,8,9]=>[9,8,7,6,3,2,10,1,4,5]
[8,1,2,3,10,5,6,7,4,9]=>[9,4,7,6,5,10,3,2,1,8]
[7,5,1,3,10,2,6,4,8,9]=>[9,8,4,6,2,10,3,1,5,7]
[4,1,6,3,10,5,2,7,8,9]=>[9,8,7,2,5,10,3,6,1,4]
[6,3,5,1,10,2,4,7,8,9]=>[9,8,7,4,2,10,1,5,3,6]
[9,6,1,3,4,10,2,7,8,5]=>[5,8,7,2,10,4,3,1,6,9]
[8,3,6,1,4,10,2,7,5,9]=>[9,5,7,2,10,4,1,6,3,8]
[5,7,1,6,2,10,4,3,8,9]=>[9,8,3,4,10,2,6,1,7,5]
[7,3,4,6,1,10,2,5,8,9]=>[9,8,5,2,10,1,6,4,3,7]
[6,1,8,3,2,5,10,7,4,9]=>[9,4,7,10,5,2,3,8,1,6]
[6,3,7,1,4,5,10,2,8,9]=>[9,8,2,10,5,4,1,7,3,6]
[9,8,1,7,2,3,10,4,5,6]=>[6,5,4,10,3,2,7,1,8,9]
[9,3,4,7,1,5,10,2,8,6]=>[6,8,2,10,5,1,7,4,3,9]
[4,1,6,3,8,5,10,7,2,9]=>[9,2,7,10,5,8,3,6,1,4]
[6,8,5,1,7,2,10,3,4,9]=>[9,4,3,10,2,7,1,5,8,6]
[8,3,4,5,7,1,10,2,6,9]=>[9,6,2,10,1,7,5,4,3,8]
[4,7,1,3,8,2,6,10,5,9]=>[9,5,10,6,2,8,3,1,7,4]
[7,1,6,3,9,5,2,10,8,4]=>[4,8,10,2,5,9,3,6,1,7]
[7,9,5,1,8,2,4,10,3,6]=>[6,3,10,4,2,8,1,5,9,7]
[7,3,4,5,8,1,6,10,2,9]=>[9,2,10,6,1,8,5,4,3,7]
[5,7,1,9,2,8,4,10,6,3]=>[3,6,10,4,8,2,9,1,7,5]
[7,9,4,6,1,8,2,10,3,5]=>[5,3,10,2,8,1,6,4,9,7]
[9,3,4,5,6,8,1,10,2,7]=>[7,2,10,1,8,6,5,4,3,9]
[4,6,8,1,7,2,9,3,10,5]=>[5,10,3,9,2,7,1,8,6,4]
[6,8,4,5,7,1,9,2,10,3]=>[3,10,2,9,1,7,5,4,8,6]
[8,3,4,5,6,7,9,1,10,2]=>[2,10,1,9,7,6,5,4,3,8]
[10,1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1,10]
[10,9,1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1,9,10]
[10,9,8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8,9,10]
[10,9,8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8,9,10]
[10,9,8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8,9,10]
[1,2,8,7,6,5,4,3,9,10]=>[10,9,3,4,5,6,7,8,2,1]
[1,2,3,7,6,5,4,8,9,10]=>[10,9,8,4,5,6,7,3,2,1]
[3,4,5,7,6,8,9,10,1,2]=>[2,1,10,9,8,6,7,5,4,3]
[1,3,4,5,7,6,8,9,10,2]=>[2,10,9,8,6,7,5,4,3,1]
[9,8,7,1,6,5,4,3,2,10]=>[10,2,3,4,5,6,1,7,8,9]
[9,8,1,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,1,8,9]
[1,2,6,3,5,4,7,8,9,10]=>[10,9,8,7,4,5,3,6,2,1]
[1,2,8,3,7,4,6,5,9,10]=>[10,9,5,6,4,7,3,8,2,1]
[1,2,9,3,8,4,7,5,6,10]=>[10,6,5,7,4,8,3,9,2,1]
[1,2,7,3,6,4,5,8,9,10]=>[10,9,8,5,4,6,3,7,2,1]
[1,2,5,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,5,2,1]
[1,3,4,5,7,9,10,8,6,2]=>[2,6,8,10,9,7,5,4,3,1]
[1,4,2,5,7,9,10,8,3,6]=>[6,3,8,10,9,7,5,2,4,1]
[1,3,5,6,7,9,10,8,4,2]=>[2,4,8,10,9,7,6,5,3,1]
[1,3,6,4,7,9,10,5,8,2]=>[2,8,5,10,9,7,4,6,3,1]
[1,6,2,4,7,9,10,5,3,8]=>[8,3,5,10,9,7,4,2,6,1]
[1,2,3,6,4,7,9,10,5,8]=>[8,5,10,9,7,4,6,3,2,1]
[1,3,4,5,6,7,9,10,8,2]=>[2,8,10,9,7,6,5,4,3,1]
[1,4,2,5,6,7,9,10,3,8]=>[8,3,10,9,7,6,5,2,4,1]
[1,5,2,3,6,4,9,10,7,8]=>[8,7,10,9,4,6,3,2,5,1]
[1,2,3,5,7,8,9,10,6,4]=>[4,6,10,9,8,7,5,3,2,1]
[1,4,2,5,7,8,9,10,3,6]=>[6,3,10,9,8,7,5,2,4,1]
[1,3,5,8,6,9,7,10,4,2]=>[2,4,10,7,9,6,8,5,3,1]
[1,2,3,5,8,6,9,7,10,4]=>[4,10,7,9,6,8,5,3,2,1]
[1,3,8,4,6,9,7,5,10,2]=>[2,10,5,7,9,6,4,8,3,1]
[1,8,2,4,6,9,7,5,3,10]=>[10,3,5,7,9,6,4,2,8,1]
[1,2,3,8,4,6,9,7,5,10]=>[10,5,7,9,6,4,8,3,2,1]
[1,3,4,5,8,6,9,7,10,2]=>[2,10,7,9,6,8,5,4,3,1]
[1,4,2,5,8,6,9,7,3,10]=>[10,3,7,9,6,8,5,2,4,1]
[1,2,8,3,5,6,9,4,7,10]=>[10,7,4,9,6,5,3,8,2,1]
[1,3,6,4,7,8,9,5,10,2]=>[2,10,5,9,8,7,4,6,3,1]
[1,6,2,4,7,8,9,5,3,10]=>[10,3,5,9,8,7,4,2,6,1]
[1,2,3,6,4,7,8,9,5,10]=>[10,5,9,8,7,4,6,3,2,1]
[1,3,7,4,5,8,6,9,10,2]=>[2,10,9,6,8,5,4,7,3,1]
[1,7,2,4,5,8,6,9,3,10]=>[10,3,9,6,8,5,4,2,7,1]
[1,7,2,5,3,8,6,4,9,10]=>[10,9,4,6,8,3,5,2,7,1]
[1,2,3,7,4,5,8,6,9,10]=>[10,9,6,8,5,4,7,3,2,1]
[1,4,2,5,6,7,8,9,3,10]=>[10,3,9,8,7,6,5,2,4,1]
[1,5,2,3,6,7,8,4,9,10]=>[10,9,4,8,7,6,3,2,5,1]
[10,6,9,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,9,6,10]
[8,6,7,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,7,6,8]
[9,6,7,8,10,1,2,3,4,5]=>[5,4,3,2,1,10,8,7,6,9]
[9,5,6,7,8,10,1,2,3,4]=>[4,3,2,1,10,8,7,6,5,9]
[8,4,6,7,9,10,1,2,3,5]=>[5,3,2,1,10,9,7,6,4,8]
[7,3,6,8,9,10,1,2,4,5]=>[5,4,2,1,10,9,8,6,3,7]
[6,2,7,8,9,10,1,3,4,5]=>[5,4,3,1,10,9,8,7,2,6]
[6,10,7,3,4,8,9,1,2,5]=>[5,2,1,9,8,4,3,7,10,6]
[6,10,3,2,7,8,9,1,4,5]=>[5,4,1,9,8,7,2,3,10,6]
[4,7,10,5,8,2,9,6,1,3]=>[3,1,6,9,2,8,5,10,7,4]
[7,10,8,5,6,3,4,9,1,2]=>[2,1,9,4,3,6,5,8,10,7]
[7,10,5,3,8,2,6,9,1,4]=>[4,1,9,6,2,8,3,5,10,7]
[7,10,5,4,3,2,8,9,1,6]=>[6,1,9,8,2,3,4,5,10,7]
[4,6,8,10,5,3,7,2,9,1]=>[1,9,2,7,3,5,10,8,6,4]
[6,8,10,5,4,3,7,2,9,1]=>[1,9,2,7,3,4,5,10,8,6]
[8,10,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,10,8]
[9,8,7,6,2,5,3,4,1,10]=>[10,1,4,3,5,2,6,7,8,9]
[9,8,7,6,1,5,2,4,3,10]=>[10,3,4,2,5,1,6,7,8,9]
[8,7,6,2,5,4,10,3,1,9]=>[9,1,3,10,4,5,2,6,7,8]
[9,8,7,6,2,4,5,1,10,3]=>[3,10,1,5,4,2,6,7,8,9]
[9,7,6,1,5,4,2,3,10,8]=>[8,10,3,2,4,5,1,6,7,9]
[9,8,7,6,1,3,5,4,10,2]=>[2,10,4,5,3,1,6,7,8,9]
[9,8,7,6,5,4,2,10,3,1]=>[1,3,10,2,4,5,6,7,8,9]
[1,2,3,5,6,4,7,8,9,10]=>[10,9,8,7,4,6,5,3,2,1]
[1,2,3,5,6,4,7,9,10,8]=>[8,10,9,7,4,6,5,3,2,1]
[1,2,3,5,7,8,6,4,9,10]=>[10,9,4,6,8,7,5,3,2,1]
[1,2,3,5,7,8,6,9,10,4]=>[4,10,9,6,8,7,5,3,2,1]
[1,3,4,2,5,6,7,9,10,8]=>[8,10,9,7,6,5,2,4,3,1]
[1,3,4,2,5,7,8,6,9,10]=>[10,9,6,8,7,5,2,4,3,1]
[1,3,4,2,5,7,8,9,10,6]=>[6,10,9,8,7,5,2,4,3,1]
[1,3,4,2,5,7,9,10,8,6]=>[6,8,10,9,7,5,2,4,3,1]
[1,3,4,5,6,2,7,8,9,10]=>[10,9,8,7,2,6,5,4,3,1]
[1,3,4,5,6,2,7,9,10,8]=>[8,10,9,7,2,6,5,4,3,1]
[1,3,4,5,7,8,6,2,9,10]=>[10,9,2,6,8,7,5,4,3,1]
[1,3,5,6,4,2,7,9,10,8]=>[8,10,9,7,2,4,6,5,3,1]
[1,3,5,6,4,7,8,2,9,10]=>[10,9,2,8,7,4,6,5,3,1]
[1,3,5,6,4,7,8,9,10,2]=>[2,10,9,8,7,4,6,5,3,1]
[1,3,5,6,4,7,9,10,8,2]=>[2,8,10,9,7,4,6,5,3,1]
[1,3,5,6,7,8,4,2,9,10]=>[10,9,2,4,8,7,6,5,3,1]
[1,3,5,6,7,8,4,9,10,2]=>[2,10,9,4,8,7,6,5,3,1]
[1,3,5,7,8,6,4,9,10,2]=>[2,10,9,4,6,8,7,5,3,1]
[1,3,5,7,8,6,9,10,4,2]=>[2,4,10,9,6,8,7,5,3,1]
[4,5,6,7,8,9,1,2,3,10]=>[10,3,2,1,9,8,7,6,5,4]
[1,2,3,6,4,10,9,8,5,7]=>[7,5,8,9,10,4,6,3,2,1]
[10,2,3,4,5,6,7,9,1,8]=>[8,1,9,7,6,5,4,3,2,10]
[10,2,3,4,5,6,9,8,1,7]=>[7,1,8,9,6,5,4,3,2,10]
[10,2,3,4,9,6,7,8,1,5]=>[5,1,8,7,6,9,4,3,2,10]
[10,2,3,9,5,6,7,8,1,4]=>[4,1,8,7,6,5,9,3,2,10]
[10,2,3,4,5,6,1,9,7,8]=>[8,7,9,1,6,5,4,3,2,10]
[10,2,3,4,5,1,9,8,6,7]=>[7,6,8,9,1,5,4,3,2,10]
[10,2,3,4,1,9,7,8,6,5]=>[5,6,8,7,9,1,4,3,2,10]
[10,2,3,1,9,6,7,8,4,5]=>[5,4,8,7,6,9,1,3,2,10]
[10,2,1,9,5,6,7,8,3,4]=>[4,3,8,7,6,5,9,1,2,10]
[10,1,9,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,9,1,10]
[9,8,7,6,3,2,1,4,5,10]=>[10,5,4,1,2,3,6,7,8,9]
[7,10,5,8,3,6,4,1,2,9]=>[9,2,1,4,6,3,8,5,10,7]
[9,1,3,4,5,6,7,8,2,10]=>[10,2,8,7,6,5,4,3,1,9]
[2,1,4,3,6,8,5,7,10,9]=>[9,10,7,5,8,6,3,4,1,2]
[2,1,4,6,3,5,8,7,10,9]=>[9,10,7,8,5,3,6,4,1,2]
[9,2,4,6,8,10,1,3,5,7]=>[7,5,3,1,10,8,6,4,2,9]
[8,3,4,6,9,10,1,2,5,7]=>[7,5,2,1,10,9,6,4,3,8]
[4,5,6,7,2,8,9,10,1,3]=>[3,1,10,9,8,2,7,6,5,4]
[1,6,7,8,9,2,3,4,10,5]=>[5,10,4,3,2,9,8,7,6,1]
[1,6,7,8,9,2,3,10,4,5]=>[5,4,10,3,2,9,8,7,6,1]
[1,2,6,7,8,3,4,9,10,5]=>[5,10,9,4,3,8,7,6,2,1]
[1,6,7,8,9,2,10,3,4,5]=>[5,4,3,10,2,9,8,7,6,1]
[6,1,2,7,8,3,9,10,4,5]=>[5,4,10,9,3,8,7,2,1,6]
[1,6,2,7,8,3,9,10,4,5]=>[5,4,10,9,3,8,7,2,6,1]
[1,2,6,7,8,3,9,10,4,5]=>[5,4,10,9,3,8,7,6,2,1]
[1,2,3,6,7,4,8,9,10,5]=>[5,10,9,8,4,7,6,3,2,1]
[1,6,7,2,8,9,3,4,10,5]=>[5,10,4,3,9,8,2,7,6,1]
[1,6,7,2,8,9,3,10,4,5]=>[5,4,10,3,9,8,2,7,6,1]
[1,6,2,7,8,9,3,4,10,5]=>[5,10,4,3,9,8,7,2,6,1]
[1,2,6,7,8,9,3,4,10,5]=>[5,10,4,3,9,8,7,6,2,1]
[6,1,2,7,8,9,3,10,4,5]=>[5,4,10,3,9,8,7,2,1,6]
[1,6,2,7,8,9,3,10,4,5]=>[5,4,10,3,9,8,7,2,6,1]
[1,2,6,7,8,9,3,10,4,5]=>[5,4,10,3,9,8,7,6,2,1]
[1,2,3,6,7,8,4,9,10,5]=>[5,10,9,4,8,7,6,3,2,1]
[1,6,2,3,7,8,9,4,10,5]=>[5,10,4,9,8,7,3,2,6,1]
[1,6,7,2,8,9,10,3,4,5]=>[5,4,3,10,9,8,2,7,6,1]
[6,1,2,7,8,9,10,3,4,5]=>[5,4,3,10,9,8,7,2,1,6]
[1,6,2,7,8,9,10,3,4,5]=>[5,4,3,10,9,8,7,2,6,1]
[1,2,6,7,8,9,10,3,4,5]=>[5,4,3,10,9,8,7,6,2,1]
[1,2,3,6,7,8,9,4,10,5]=>[5,10,4,9,8,7,6,3,2,1]
[6,1,2,3,7,8,9,10,4,5]=>[5,4,10,9,8,7,3,2,1,6]
[1,6,2,3,7,8,9,10,4,5]=>[5,4,10,9,8,7,3,2,6,1]
[1,2,6,3,7,8,9,10,4,5]=>[5,4,10,9,8,7,3,6,2,1]
[1,2,3,6,7,8,9,10,4,5]=>[5,4,10,9,8,7,6,3,2,1]
[8,10,1,2,3,4,5,7,6,9]=>[9,6,7,5,4,3,2,1,10,8]
[9,10,1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1,10,9]
[8,10,1,2,3,5,4,6,7,9]=>[9,7,6,4,5,3,2,1,10,8]
[7,10,1,2,3,5,6,4,8,9]=>[9,8,4,6,5,3,2,1,10,7]
[9,10,1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1,10,9]
[8,10,1,3,2,5,4,7,6,9]=>[9,6,7,4,5,2,3,1,10,8]
[9,10,1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1,10,9]
[8,10,1,3,2,4,5,6,7,9]=>[9,7,6,5,4,2,3,1,10,8]
[7,10,1,3,2,4,6,5,8,9]=>[9,8,5,6,4,2,3,1,10,7]
[9,10,1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1,10,9]
[8,10,1,3,4,2,6,5,7,9]=>[9,7,5,6,2,4,3,1,10,8]
[7,10,1,3,4,2,5,6,8,9]=>[9,8,6,5,2,4,3,1,10,7]
[6,10,1,3,4,5,2,7,8,9]=>[9,8,7,2,5,4,3,1,10,6]
[9,1,10,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,10,1,9]
[8,1,10,3,2,4,5,7,6,9]=>[9,6,7,5,4,2,3,10,1,8]
[9,1,10,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,10,1,9]
[8,1,10,3,2,5,4,6,7,9]=>[9,7,6,4,5,2,3,10,1,8]
[7,1,10,3,2,5,6,4,8,9]=>[9,8,4,6,5,2,3,10,1,7]
[9,1,10,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,10,1,9]
[8,1,10,2,3,5,4,7,6,9]=>[9,6,7,4,5,3,2,10,1,8]
[9,1,10,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,10,1,9]
[7,1,10,2,3,4,6,5,8,9]=>[9,8,5,6,4,3,2,10,1,7]
[9,1,10,2,4,3,6,7,5,8]=>[8,5,7,6,3,4,2,10,1,9]
[8,1,10,2,4,3,6,5,7,9]=>[9,7,5,6,3,4,2,10,1,8]
[7,1,10,2,4,3,5,6,8,9]=>[9,8,6,5,3,4,2,10,1,7]
[6,1,10,2,4,5,3,7,8,9]=>[9,8,7,3,5,4,2,10,1,6]
[9,1,2,10,4,5,3,6,7,8]=>[8,7,6,3,5,4,10,2,1,9]
[8,1,2,10,4,5,3,7,6,9]=>[9,6,7,3,5,4,10,2,1,8]
[9,1,2,10,4,3,5,7,6,8]=>[8,6,7,5,3,4,10,2,1,9]
[8,1,2,10,4,3,5,6,7,9]=>[9,7,6,5,3,4,10,2,1,8]
[7,1,2,10,4,3,6,5,8,9]=>[9,8,5,6,3,4,10,2,1,7]
[9,1,2,10,3,4,6,7,5,8]=>[8,5,7,6,4,3,10,2,1,9]
[8,1,2,10,3,4,6,5,7,9]=>[9,7,5,6,4,3,10,2,1,8]
[7,1,2,10,3,4,5,6,8,9]=>[9,8,6,5,4,3,10,2,1,7]
[6,1,2,10,3,5,4,7,8,9]=>[9,8,7,4,5,3,10,2,1,6]
[8,1,2,3,10,5,6,4,7,9]=>[9,7,4,6,5,10,3,2,1,8]
[7,1,2,3,10,5,4,6,8,9]=>[9,8,6,4,5,10,3,2,1,7]
[6,1,2,3,10,4,5,7,8,9]=>[9,8,7,5,4,10,3,2,1,6]
[5,10,1,6,2,7,3,8,4,9]=>[9,4,8,3,7,2,6,1,10,5]
[5,10,1,6,2,7,3,8,9,4]=>[4,9,8,3,7,2,6,1,10,5]
[5,10,1,6,2,7,8,3,4,9]=>[9,4,3,8,7,2,6,1,10,5]
[5,10,1,6,2,7,8,3,9,4]=>[4,9,3,8,7,2,6,1,10,5]
[5,10,1,6,2,7,8,9,3,4]=>[4,3,9,8,7,2,6,1,10,5]
[5,10,1,6,7,2,3,8,4,9]=>[9,4,8,3,2,7,6,1,10,5]
[5,10,1,6,7,2,3,8,9,4]=>[4,9,8,3,2,7,6,1,10,5]
[5,10,1,6,7,2,8,3,4,9]=>[9,4,3,8,2,7,6,1,10,5]
[5,10,1,6,7,2,8,3,9,4]=>[4,9,3,8,2,7,6,1,10,5]
[5,10,1,6,7,2,8,9,3,4]=>[4,3,9,8,2,7,6,1,10,5]
[5,10,1,6,7,8,2,3,4,9]=>[9,4,3,2,8,7,6,1,10,5]
[5,10,1,6,7,8,2,3,9,4]=>[4,9,3,2,8,7,6,1,10,5]
[5,10,1,6,7,8,2,9,3,4]=>[4,3,9,2,8,7,6,1,10,5]
[5,10,1,6,7,8,9,2,3,4]=>[4,3,2,9,8,7,6,1,10,5]
[5,10,6,1,2,7,3,8,4,9]=>[9,4,8,3,7,2,1,6,10,5]
[5,10,6,1,2,7,3,8,9,4]=>[4,9,8,3,7,2,1,6,10,5]
[5,10,6,1,2,7,8,3,4,9]=>[9,4,3,8,7,2,1,6,10,5]
[5,10,6,1,2,7,8,3,9,4]=>[4,9,3,8,7,2,1,6,10,5]
[5,10,6,1,2,7,8,9,3,4]=>[4,3,9,8,7,2,1,6,10,5]
[5,10,6,1,7,2,3,8,4,9]=>[9,4,8,3,2,7,1,6,10,5]
[5,10,6,1,7,2,3,8,9,4]=>[4,9,8,3,2,7,1,6,10,5]
[5,10,6,1,7,2,8,3,4,9]=>[9,4,3,8,2,7,1,6,10,5]
[5,10,6,1,7,2,8,3,9,4]=>[4,9,3,8,2,7,1,6,10,5]
[5,10,6,1,7,2,8,9,3,4]=>[4,3,9,8,2,7,1,6,10,5]
[5,10,6,1,7,8,2,3,4,9]=>[9,4,3,2,8,7,1,6,10,5]
[5,10,6,1,7,8,2,3,9,4]=>[4,9,3,2,8,7,1,6,10,5]
[5,10,6,1,7,8,2,9,3,4]=>[4,3,9,2,8,7,1,6,10,5]
[5,10,6,1,7,8,9,2,3,4]=>[4,3,2,9,8,7,1,6,10,5]
[5,10,6,7,1,2,3,8,4,9]=>[9,4,8,3,2,1,7,6,10,5]
[5,10,6,7,1,2,3,8,9,4]=>[4,9,8,3,2,1,7,6,10,5]
[5,10,6,7,1,2,8,3,4,9]=>[9,4,3,8,2,1,7,6,10,5]
[5,10,6,7,1,2,8,3,9,4]=>[4,9,3,8,2,1,7,6,10,5]
[5,10,6,7,1,2,8,9,3,4]=>[4,3,9,8,2,1,7,6,10,5]
[5,10,6,7,1,8,2,3,4,9]=>[9,4,3,2,8,1,7,6,10,5]
[5,10,6,7,1,8,2,3,9,4]=>[4,9,3,2,8,1,7,6,10,5]
[5,10,6,7,1,8,2,9,3,4]=>[4,3,9,2,8,1,7,6,10,5]
[5,10,6,7,1,8,9,2,3,4]=>[4,3,2,9,8,1,7,6,10,5]
[5,10,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,10,5]
[5,10,6,7,8,1,2,3,9,4]=>[4,9,3,2,1,8,7,6,10,5]
[5,10,6,7,8,1,2,9,3,4]=>[4,3,9,2,1,8,7,6,10,5]
[5,10,6,7,8,1,9,2,3,4]=>[4,3,2,9,1,8,7,6,10,5]
[4,2,3,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,3,2,4]
[5,2,3,4,1,6,7,8,9,10]=>[10,9,8,7,6,1,4,3,2,5]
[6,2,3,4,5,1,7,8,9,10]=>[10,9,8,7,1,5,4,3,2,6]
[7,2,3,4,5,6,1,8,9,10]=>[10,9,8,1,6,5,4,3,2,7]
[8,2,3,4,5,6,7,1,9,10]=>[10,9,1,7,6,5,4,3,2,8]
[2,1,4,3,6,8,7,10,9,5]=>[5,9,10,7,8,6,3,4,1,2]
[2,1,4,3,8,6,10,9,5,7]=>[7,5,9,10,6,8,3,4,1,2]
[2,1,6,8,7,4,10,9,3,5]=>[5,3,9,10,4,7,8,6,1,2]
[2,1,6,4,8,7,3,5,10,9]=>[9,10,5,3,7,8,4,6,1,2]
[2,1,6,4,8,7,3,10,9,5]=>[5,9,10,3,7,8,4,6,1,2]
[2,1,4,8,6,5,10,9,7,3]=>[3,7,9,10,5,6,8,4,1,2]
[2,1,8,4,6,10,9,5,3,7]=>[7,3,5,9,10,6,4,8,1,2]
[2,4,3,1,6,8,7,10,9,5]=>[5,9,10,7,8,6,1,3,4,2]
[2,4,3,1,8,6,10,9,5,7]=>[7,5,9,10,6,8,1,3,4,2]
[2,4,3,6,5,1,8,10,9,7]=>[7,9,10,8,1,5,6,3,4,2]
[4,6,5,8,7,2,10,9,1,3]=>[3,1,9,10,2,7,8,5,6,4]
[4,6,5,2,8,7,1,3,10,9]=>[9,10,3,1,7,8,2,5,6,4]
[4,6,5,2,8,7,1,10,9,3]=>[3,9,10,1,7,8,2,5,6,4]
[2,4,3,8,6,5,10,9,7,1]=>[1,7,9,10,5,6,8,3,4,2]
[6,8,7,2,4,10,9,3,1,5]=>[5,1,3,9,10,4,2,7,8,6]
[4,2,6,5,1,3,8,7,10,9]=>[9,10,7,8,3,1,5,6,2,4]
[4,2,6,5,1,3,8,10,9,7]=>[7,9,10,8,3,1,5,6,2,4]
[4,2,6,5,1,8,7,3,10,9]=>[9,10,3,7,8,1,5,6,2,4]
[4,2,6,5,1,8,7,10,9,3]=>[3,9,10,7,8,1,5,6,2,4]
[6,2,8,7,1,4,10,9,3,5]=>[5,3,9,10,4,1,7,8,2,6]
[2,6,4,3,8,7,5,1,10,9]=>[9,10,1,5,7,8,3,4,6,2]
[2,6,4,3,8,7,5,10,9,1]=>[1,9,10,5,7,8,3,4,6,2]
[6,2,8,7,4,3,10,9,1,5]=>[5,1,9,10,3,4,7,8,2,6]
[2,8,4,3,6,10,9,5,7,1]=>[1,7,5,9,10,6,3,4,8,2]
[6,2,4,8,7,3,1,5,10,9]=>[9,10,5,1,3,7,8,4,2,6]
[6,2,4,8,7,3,1,10,9,5]=>[5,9,10,1,3,7,8,4,2,6]
[2,6,8,4,3,7,10,9,5,1]=>[1,5,9,10,7,3,4,8,6,2]
[4,8,2,6,5,10,9,1,7,3]=>[3,7,1,9,10,5,6,2,8,4]
[8,4,2,6,10,9,5,1,3,7]=>[7,3,1,5,9,10,6,2,4,8]
[9,8,7,6,5,4,3,10,1,2]=>[2,1,10,3,4,5,6,7,8,9]
[9,8,7,6,5,4,10,2,1,3]=>[3,1,2,10,4,5,6,7,8,9]
[9,8,7,6,5,10,3,2,1,4]=>[4,1,2,3,10,5,6,7,8,9]
[9,8,7,10,5,4,3,2,1,6]=>[6,1,2,3,4,5,10,7,8,9]
[9,8,10,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,10,8,9]
[4,1,6,3,8,5,10,9,2,7]=>[7,2,9,10,5,8,3,6,1,4]
[4,1,6,3,8,10,9,2,7,5]=>[5,7,2,9,10,8,3,6,1,4]
[4,1,6,8,10,2,9,5,7,3]=>[3,7,5,9,2,10,8,6,1,4]
[6,4,8,1,10,3,9,5,7,2]=>[2,7,5,9,3,10,1,8,4,6]
[4,6,8,2,10,3,9,5,7,1]=>[1,7,5,9,3,10,2,8,6,4]
[3,6,2,8,10,4,9,5,7,1]=>[1,7,5,9,4,10,8,2,6,3]
[3,5,2,8,4,10,9,6,7,1]=>[1,7,6,9,10,4,8,2,5,3]
[3,5,2,7,4,10,6,9,8,1]=>[1,8,9,6,10,4,7,2,5,3]
[4,9,8,7,6,5,1,3,2,10]=>[10,2,3,1,5,6,7,8,9,4]
[1,4,2,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,2,4,1]
[5,3,8,6,10,7,1,4,9,2]=>[2,9,4,1,7,10,6,8,3,5]
[5,2,8,6,10,7,1,4,9,3]=>[3,9,4,1,7,10,6,8,2,5]
[4,3,8,6,10,7,1,5,9,2]=>[2,9,5,1,7,10,6,8,3,4]
[4,2,8,6,10,7,1,5,9,3]=>[3,9,5,1,7,10,6,8,2,4]
[3,8,6,10,7,2,5,9,1,4]=>[4,1,9,5,2,7,10,6,8,3]
[5,3,8,7,10,6,1,4,9,2]=>[2,9,4,1,6,10,7,8,3,5]
[5,2,8,7,10,6,1,4,9,3]=>[3,9,4,1,6,10,7,8,2,5]
[4,3,8,7,10,6,1,5,9,2]=>[2,9,5,1,6,10,7,8,3,4]
[4,2,8,7,10,6,1,5,9,3]=>[3,9,5,1,6,10,7,8,2,4]
[3,8,7,10,6,2,5,9,1,4]=>[4,1,9,5,2,6,10,7,8,3]
[4,3,5,1,8,7,10,6,9,2]=>[2,9,6,10,7,8,1,5,3,4]
[4,2,5,1,8,7,10,6,9,3]=>[3,9,6,10,7,8,1,5,2,4]
[3,5,2,8,7,10,6,9,1,4]=>[4,1,9,6,10,7,8,2,5,3]
[3,4,2,8,7,10,6,9,1,5]=>[5,1,9,6,10,7,8,2,4,3]
[5,3,9,6,10,7,1,4,8,2]=>[2,8,4,1,7,10,6,9,3,5]
[5,2,9,6,10,7,1,4,8,3]=>[3,8,4,1,7,10,6,9,2,5]
[4,3,9,6,10,7,1,5,8,2]=>[2,8,5,1,7,10,6,9,3,4]
[4,2,9,6,10,7,1,5,8,3]=>[3,8,5,1,7,10,6,9,2,4]
[3,9,6,10,7,2,5,8,1,4]=>[4,1,8,5,2,7,10,6,9,3]
[5,3,9,7,10,6,1,4,8,2]=>[2,8,4,1,6,10,7,9,3,5]
[5,2,9,7,10,6,1,4,8,3]=>[3,8,4,1,6,10,7,9,2,5]
[4,3,9,7,10,6,1,5,8,2]=>[2,8,5,1,6,10,7,9,3,4]
[4,2,9,7,10,6,1,5,8,3]=>[3,8,5,1,6,10,7,9,2,4]
[3,9,7,10,6,2,5,8,1,4]=>[4,1,8,5,2,6,10,7,9,3]
[4,3,5,1,9,7,10,6,8,2]=>[2,8,6,10,7,9,1,5,3,4]
[4,2,5,1,9,7,10,6,8,3]=>[3,8,6,10,7,9,1,5,2,4]
[3,5,2,9,7,10,6,8,1,4]=>[4,1,8,6,10,7,9,2,5,3]
[3,4,2,9,7,10,6,8,1,5]=>[5,1,8,6,10,7,9,2,4,3]
[5,3,8,9,6,1,4,10,7,2]=>[2,7,10,4,1,6,9,8,3,5]
[5,2,8,9,6,1,4,10,7,3]=>[3,7,10,4,1,6,9,8,2,5]
[4,3,8,9,6,1,5,10,7,2]=>[2,7,10,5,1,6,9,8,3,4]
[4,2,8,9,6,1,5,10,7,3]=>[3,7,10,5,1,6,9,8,2,4]
[3,8,9,6,2,5,10,7,1,4]=>[4,1,7,10,5,2,6,9,8,3]
[4,3,5,1,8,9,6,10,7,2]=>[2,7,10,6,9,8,1,5,3,4]
[4,2,5,1,8,9,6,10,7,3]=>[3,7,10,6,9,8,1,5,2,4]
[3,5,2,8,9,6,10,7,1,4]=>[4,1,7,10,6,9,8,2,5,3]
[3,4,2,8,9,6,10,7,1,5]=>[5,1,7,10,6,9,8,2,4,3]
[4,3,5,1,8,9,7,10,6,2]=>[2,6,10,7,9,8,1,5,3,4]
[4,2,5,1,8,9,7,10,6,3]=>[3,6,10,7,9,8,1,5,2,4]
[3,5,2,8,9,7,10,6,1,4]=>[4,1,6,10,7,9,8,2,5,3]
[3,4,2,8,9,7,10,6,1,5]=>[5,1,6,10,7,9,8,2,4,3]
[2,3,4,5,9,6,10,7,8,1]=>[1,8,7,10,6,9,5,4,3,2]
[1,3,4,8,5,9,6,7,10,2]=>[2,10,7,6,9,5,8,4,3,1]
[2,3,4,5,9,7,6,10,1,8]=>[8,1,10,6,7,9,5,4,3,2]
[2,4,5,9,6,7,10,8,1,3]=>[3,1,8,10,7,6,9,5,4,2]
[2,3,4,5,10,8,6,7,1,9]=>[9,1,7,6,8,10,5,4,3,2]
[1,10,2,3,6,4,5,7,8,9]=>[9,8,7,5,4,6,3,2,10,1]
[1,3,4,6,7,5,8,9,10,2]=>[2,10,9,8,5,7,6,4,3,1]
[5,1,2,3,4,6,7,8,10,9]=>[9,10,8,7,6,4,3,2,1,5]
[1,3,4,5,6,8,7,9,10,2]=>[2,10,9,7,8,6,5,4,3,1]
[2,9,10,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,10,9,2]
[3,4,1,7,8,2,5,6,9,10]=>[10,9,6,5,2,8,7,1,4,3]
[3,4,1,7,8,2,5,9,10,6]=>[6,10,9,5,2,8,7,1,4,3]
[3,4,1,5,8,2,6,9,10,7]=>[7,10,9,6,2,8,5,1,4,3]
[1,4,2,5,8,3,6,9,10,7]=>[7,10,9,6,3,8,5,2,4,1]
[2,3,1,5,8,4,6,9,10,7]=>[7,10,9,6,4,8,5,1,3,2]
[2,5,1,6,7,3,4,9,10,8]=>[8,10,9,4,3,7,6,1,5,2]
[2,5,1,6,9,3,4,10,7,8]=>[8,7,10,4,3,9,6,1,5,2]
[2,5,1,6,3,4,9,10,7,8]=>[8,7,10,9,4,3,6,1,5,2]
[5,4,3,2,1,7,9,10,8,6]=>[6,8,10,9,7,1,2,3,4,5]
[6,5,4,3,2,1,8,9,7,10]=>[10,7,9,8,1,2,3,4,5,6]
[3,2,1,5,7,9,10,8,6,4]=>[4,6,8,10,9,7,5,1,2,3]
[4,3,2,1,6,8,9,7,5,10]=>[10,5,7,9,8,6,1,2,3,4]
[4,3,2,1,8,5,6,9,10,7]=>[7,10,9,6,5,8,1,2,3,4]
[5,4,3,2,1,7,8,6,9,10]=>[10,9,6,8,7,1,2,3,4,5]
[2,1,4,6,8,9,7,5,3,10]=>[10,3,5,7,9,8,6,4,1,2]
[2,1,8,3,5,6,4,9,10,7]=>[7,10,9,4,6,5,3,8,1,2]
[3,2,1,5,7,8,6,4,9,10]=>[10,9,4,6,8,7,5,1,2,3]
[3,2,1,7,4,5,8,9,6,10]=>[10,6,9,8,5,4,7,1,2,3]
[4,3,2,1,6,7,5,8,9,10]=>[10,9,8,5,7,6,1,2,3,4]
[8,1,3,5,6,4,2,9,10,7]=>[7,10,9,2,4,6,5,3,1,8]
[8,1,5,2,3,6,9,10,7,4]=>[4,7,10,9,6,3,2,5,1,8]
[1,7,2,4,5,3,8,9,6,10]=>[10,6,9,8,3,5,4,2,7,1]
[2,1,4,6,7,5,3,8,9,10]=>[10,9,8,3,5,7,6,4,1,2]
[2,1,4,7,8,3,5,9,10,6]=>[6,10,9,5,3,8,7,4,1,2]
[2,1,6,3,4,7,8,5,9,10]=>[10,9,5,8,7,4,3,6,1,2]
[3,2,1,5,6,4,7,8,9,10]=>[10,9,8,7,4,6,5,1,2,3]
[7,4,1,2,5,8,9,6,3,10]=>[10,3,6,9,8,5,2,1,4,7]
[4,7,1,2,8,3,5,9,10,6]=>[6,10,9,5,3,8,2,1,7,4]
[6,1,3,4,2,7,8,5,9,10]=>[10,9,5,8,7,2,4,3,1,6]
[1,3,6,7,2,4,8,9,5,10]=>[10,5,9,8,4,2,7,6,3,1]
[1,5,2,3,6,7,4,8,9,10]=>[10,9,8,4,7,6,3,2,5,1]
[2,1,4,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,4,1,2]
[2,5,6,1,3,7,8,4,9,10]=>[10,9,4,8,7,3,1,6,5,2]
[4,1,2,5,6,3,7,8,9,10]=>[10,9,8,7,3,6,5,2,1,4]
[10,4,3,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,3,4,10]
[10,5,3,4,2,6,7,8,9,1]=>[1,9,8,7,6,2,4,3,5,10]
[10,6,3,4,5,2,7,8,9,1]=>[1,9,8,7,2,5,4,3,6,10]
[10,7,3,4,5,6,2,8,9,1]=>[1,9,8,2,6,5,4,3,7,10]
[10,8,3,4,5,6,7,2,9,1]=>[1,9,2,7,6,5,4,3,8,10]
[10,9,8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8,9,10]
[10,9,8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8,9,10]
[10,1,9,2,8,3,6,7,4,5]=>[5,4,7,6,3,8,2,9,1,10]
[3,4,5,1,2,8,9,10,6,7]=>[7,6,10,9,8,2,1,5,4,3]
[2,3,1,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,1,3,2]
[3,1,4,2,7,5,8,6,9,10]=>[10,9,6,8,5,7,2,4,1,3]
[2,1,5,3,6,4,9,10,7,8]=>[8,7,10,9,4,6,3,5,1,2]
[3,1,4,2,7,8,5,6,9,10]=>[10,9,6,5,8,7,2,4,1,3]
[10,2,4,5,6,7,8,1,9,3]=>[3,9,1,8,7,6,5,4,2,10]
[8,10,4,5,6,7,9,1,3,2]=>[2,3,1,9,7,6,5,4,10,8]
[9,3,4,5,6,1,7,10,2,8]=>[8,2,10,7,1,6,5,4,3,9]
[9,2,10,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,10,2,9]
[9,2,4,5,6,7,1,8,10,3]=>[3,10,8,1,7,6,5,4,2,9]
[2,3,9,5,6,7,8,1,10,4]=>[4,10,1,8,7,6,5,9,3,2]
[2,3,8,5,6,7,1,9,10,4]=>[4,10,9,1,7,6,5,8,3,2]
[2,3,4,8,6,7,1,9,10,5]=>[5,10,9,1,7,6,8,4,3,2]
[2,3,4,7,6,1,8,9,10,5]=>[5,10,9,8,1,6,7,4,3,2]
[9,3,7,5,6,1,8,2,10,4]=>[4,10,2,8,1,6,5,7,3,9]
[9,3,4,6,1,7,8,2,10,5]=>[5,10,2,8,7,1,6,4,3,9]
[8,3,4,1,6,7,2,9,10,5]=>[5,10,9,2,7,6,1,4,3,8]
[4,3,1,5,8,7,2,9,10,6]=>[6,10,9,2,7,8,5,1,3,4]
[3,1,4,5,7,2,8,9,10,6]=>[6,10,9,8,2,7,5,4,1,3]
[9,7,10,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,10,7,9]
[3,10,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,10,3]
[4,10,2,3,1,5,6,7,8,9]=>[9,8,7,6,5,1,3,2,10,4]
[10,5,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,5,10]
[9,7,5,3,2,10,8,6,4,1]=>[1,4,6,8,10,2,3,5,7,9]
[6,5,10,4,9,3,8,2,7,1]=>[1,7,2,8,3,9,4,10,5,6]
[10,3,5,7,9,2,4,6,8,1]=>[1,8,6,4,2,9,7,5,3,10]
[1,2,5,6,7,8,9,10,4,3]=>[3,4,10,9,8,7,6,5,2,1]
[1,5,6,7,8,9,10,2,4,3]=>[3,4,2,10,9,8,7,6,5,1]
[1,10,4,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,4,10,1]
[7,6,9,5,4,3,2,1,10,8]=>[8,10,1,2,3,4,5,9,6,7]
[7,6,5,4,8,3,2,1,10,9]=>[9,10,1,2,3,8,4,5,6,7]
[6,7,5,8,4,9,3,10,2,1]=>[1,2,10,3,9,4,8,5,7,6]
[2,7,6,8,5,9,4,10,1,3]=>[3,1,10,4,9,5,8,6,7,2]
[2,7,6,8,5,9,4,10,3,1]=>[1,3,10,4,9,5,8,6,7,2]
[7,9,10,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,10,9,7]
[6,9,10,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,10,9,6]
[6,8,9,10,5,7,4,3,2,1]=>[1,2,3,4,7,5,10,9,8,6]
[5,9,10,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,10,9,5]
[5,8,10,4,7,9,3,6,2,1]=>[1,2,6,3,9,7,4,10,8,5]
[5,8,9,10,4,7,3,6,2,1]=>[1,2,6,3,7,4,10,9,8,5]
[5,7,9,10,4,6,8,3,2,1]=>[1,2,3,8,6,4,10,9,7,5]
[5,7,8,9,10,4,6,3,2,1]=>[1,2,3,6,4,10,9,8,7,5]
[4,8,10,3,7,9,2,6,1,5]=>[5,1,6,2,9,7,3,10,8,4]
[4,8,9,10,3,7,2,6,1,5]=>[5,1,6,2,7,3,10,9,8,4]
[4,7,9,10,3,6,8,2,5,1]=>[1,5,2,8,6,3,10,9,7,4]
[4,7,8,9,10,3,6,2,5,1]=>[1,5,2,6,3,10,9,8,7,4]
[4,6,8,9,10,3,5,7,2,1]=>[1,2,7,5,3,10,9,8,6,4]
[4,6,7,8,9,10,3,5,2,1]=>[1,2,5,3,10,9,8,7,6,4]
[3,6,9,10,2,5,8,1,4,7]=>[7,4,1,8,5,2,10,9,6,3]
[3,6,8,10,2,5,7,9,1,4]=>[4,1,9,7,5,2,10,8,6,3]
[3,6,8,9,10,2,5,7,1,4]=>[4,1,7,5,2,10,9,8,6,3]
[3,6,7,8,9,10,2,5,1,4]=>[4,1,5,2,10,9,8,7,6,3]
[3,5,7,9,10,2,4,6,8,1]=>[1,8,6,4,2,10,9,7,5,3]
[3,5,7,8,9,10,2,4,6,1]=>[1,6,4,2,10,9,8,7,5,3]
[3,5,6,7,8,9,10,2,4,1]=>[1,4,2,10,9,8,7,6,5,3]
[2,4,6,8,9,10,1,3,5,7]=>[7,5,3,1,10,9,8,6,4,2]
[2,4,6,7,8,9,10,1,3,5]=>[5,3,1,10,9,8,7,6,4,2]
[9,8,7,6,5,10,2,4,1,3]=>[3,1,4,2,10,5,6,7,8,9]
[9,8,7,6,5,2,4,1,3,10]=>[10,3,1,4,2,5,6,7,8,9]
[9,8,7,10,3,6,2,5,1,4]=>[4,1,5,2,6,3,10,7,8,9]
[9,8,7,3,6,2,5,1,4,10]=>[10,4,1,5,2,6,3,7,8,9]
[9,8,7,6,3,5,10,1,2,4]=>[4,2,1,10,5,3,6,7,8,9]
[9,8,7,6,3,5,1,2,4,10]=>[10,4,2,1,5,3,6,7,8,9]
[9,4,8,3,7,2,6,1,5,10]=>[10,5,1,6,2,7,3,8,4,9]
[9,8,4,7,3,6,10,1,2,5]=>[5,2,1,10,6,3,7,4,8,9]
[9,8,4,7,3,6,1,2,5,10]=>[10,5,2,1,6,3,7,4,8,9]
[9,8,7,2,4,6,1,3,5,10]=>[10,5,3,1,6,4,2,7,8,9]
[9,8,7,4,6,1,2,3,5,10]=>[10,5,3,2,1,6,4,7,8,9]
[5,9,4,8,3,7,10,1,2,6]=>[6,2,1,10,7,3,8,4,9,5]
[5,9,4,8,3,7,1,2,6,10]=>[10,6,2,1,7,3,8,4,9,5]
[9,5,8,10,2,4,7,1,3,6]=>[6,3,1,7,4,2,10,8,5,9]
[9,5,8,2,4,7,1,3,6,10]=>[10,6,3,1,7,4,2,8,5,9]
[9,5,8,4,7,1,2,3,6,10]=>[10,6,3,2,1,7,4,8,5,9]
[9,8,3,5,7,10,1,2,4,6]=>[6,4,2,1,10,7,5,3,8,9]
[9,8,3,5,7,1,2,4,6,10]=>[10,6,4,2,1,7,5,3,8,9]
[9,8,5,7,1,2,3,4,6,10]=>[10,6,4,3,2,1,7,5,8,9]
[6,9,3,5,8,10,1,2,4,7]=>[7,4,2,1,10,8,5,3,9,6]
[6,9,3,5,8,1,2,4,7,10]=>[10,7,4,2,1,8,5,3,9,6]
[6,9,5,8,1,2,3,4,7,10]=>[10,7,4,3,2,1,8,5,9,6]
[9,2,4,6,8,1,3,5,7,10]=>[10,7,5,3,1,8,6,4,2,9]
[9,4,6,8,1,2,3,5,7,10]=>[10,7,5,3,2,1,8,6,4,9]
[9,6,8,1,2,3,4,5,7,10]=>[10,7,5,4,3,2,1,8,6,9]
[9,10,1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1,10,9]
[1,4,2,6,3,7,5,9,8,10]=>[10,8,9,5,7,3,6,2,4,1]
[1,5,2,6,3,7,4,9,8,10]=>[10,8,9,4,7,3,6,2,5,1]
[1,4,2,6,3,8,5,9,7,10]=>[10,7,9,5,8,3,6,2,4,1]
[1,4,2,7,3,8,5,9,6,10]=>[10,6,9,5,8,3,7,2,4,1]
[1,5,2,7,3,8,4,9,6,10]=>[10,6,9,4,8,3,7,2,5,1]
[10,2,4,6,7,8,9,1,3,5]=>[5,3,1,9,8,7,6,4,2,10]
[10,5,7,1,2,3,9,4,6,8]=>[8,6,4,9,3,2,1,7,5,10]
[10,8,6,2,3,4,9,7,5,1]=>[1,5,7,9,4,3,2,6,8,10]
[10,8,6,1,2,4,9,7,5,3]=>[3,5,7,9,4,2,1,6,8,10]
[10,4,8,1,2,5,9,3,7,6]=>[6,7,3,9,5,2,1,8,4,10]
[10,8,6,5,4,2,9,7,3,1]=>[1,3,7,9,2,4,5,6,8,10]
[10,2,8,7,6,3,9,1,5,4]=>[4,5,1,9,3,6,7,8,2,10]
[8,5,10,1,2,3,7,4,9,6]=>[6,9,4,7,3,2,1,10,5,8]
[8,6,10,2,3,4,7,5,9,1]=>[1,9,5,7,4,3,2,10,6,8]
[8,6,10,1,2,4,7,5,9,3]=>[3,9,5,7,4,2,1,10,6,8]
[8,5,10,1,2,6,7,4,9,3]=>[3,9,4,7,6,2,1,10,5,8]
[6,4,10,9,8,2,5,3,7,1]=>[1,7,3,5,2,8,9,10,4,6]
[6,3,10,9,8,4,5,2,7,1]=>[1,7,2,5,4,8,9,10,3,6]
[4,2,6,8,9,10,3,1,5,7]=>[7,5,1,3,10,9,8,6,2,4]
[6,4,8,1,2,10,5,3,7,9]=>[9,7,3,5,10,2,1,8,4,6]
[7,9,4,1,2,10,6,8,3,5]=>[5,3,8,6,10,2,1,4,9,7]
[4,8,6,1,2,9,3,7,5,10]=>[10,5,7,3,9,2,1,6,8,4]
[4,2,8,7,6,10,3,1,5,9]=>[9,5,1,3,10,6,7,8,2,4]
[7,9,4,3,2,10,6,8,1,5]=>[5,1,8,6,10,2,3,4,9,7]
[2,8,6,5,4,9,1,7,3,10]=>[10,3,7,1,9,4,5,6,8,2]
[8,2,10,5,6,3,7,1,9,4]=>[4,9,1,7,3,6,5,10,2,8]
[8,3,10,1,6,4,7,2,9,5]=>[5,9,2,7,4,6,1,10,3,8]
[8,4,10,1,5,6,7,3,9,2]=>[2,9,3,7,6,5,1,10,4,8]
[7,2,10,9,5,3,6,1,8,4]=>[4,8,1,6,3,5,9,10,2,7]
[7,3,10,9,4,5,6,2,8,1]=>[1,8,2,6,5,4,9,10,3,7]
[7,9,2,4,5,10,6,8,1,3]=>[3,1,8,6,10,5,4,2,9,7]
[7,9,3,1,5,10,6,8,2,4]=>[4,2,8,6,10,5,1,3,9,7]
[6,8,3,1,9,10,5,7,2,4]=>[4,2,7,5,10,9,1,3,8,6]
[3,7,5,1,8,9,2,6,4,10]=>[10,4,6,2,9,8,1,5,7,3]
[7,9,3,2,5,10,6,8,1,4]=>[4,1,8,6,10,5,2,3,9,7]
[6,8,3,2,9,10,5,7,1,4]=>[4,1,7,5,10,9,2,3,8,6]
[2,7,5,4,8,9,1,6,3,10]=>[10,3,6,1,9,8,4,5,7,2]
[4,6,8,7,1,10,3,5,9,2]=>[2,9,5,3,10,1,7,8,6,4]
[3,5,7,6,1,9,2,4,8,10]=>[10,8,4,2,9,1,6,7,5,3]
[4,7,10,6,2,8,3,9,5,1]=>[1,5,9,3,8,2,6,10,7,4]
[7,3,10,2,4,5,6,9,1,8]=>[8,1,9,6,5,4,2,10,3,7]
[4,9,6,8,2,10,3,5,7,1]=>[1,7,5,3,10,2,8,6,9,4]
[3,8,5,7,9,10,2,4,6,1]=>[1,6,4,2,10,9,7,5,8,3]
[2,7,4,6,8,9,1,3,5,10]=>[10,5,3,1,9,8,6,4,7,2]
[6,2,8,1,3,10,5,7,9,4]=>[4,9,7,5,10,3,1,8,2,6]
[5,2,7,1,3,9,4,6,8,10]=>[10,8,6,4,9,3,1,7,2,5]
[5,6,4,7,3,10,2,8,1,9]=>[9,1,8,2,10,3,7,4,6,5]
[5,6,4,9,3,7,2,8,1,10]=>[10,1,8,2,7,3,9,4,6,5]
[5,9,4,6,3,7,2,8,1,10]=>[10,1,8,2,7,3,6,4,9,5]
[5,4,9,6,3,7,2,8,1,10]=>[10,1,8,2,7,3,6,9,4,5]
[5,4,6,3,9,7,2,8,1,10]=>[10,1,8,2,7,9,3,6,4,5]
[5,4,6,3,7,2,10,8,1,9]=>[9,1,8,10,2,7,3,6,4,5]
[5,6,4,9,3,10,2,7,1,8]=>[8,1,7,2,10,3,9,4,6,5]
[5,10,4,9,3,6,2,8,1,7]=>[7,1,8,2,6,3,9,4,10,5]
[10,4,9,5,3,7,2,8,1,6]=>[6,1,8,2,7,3,5,9,4,10]
[4,9,3,10,6,2,7,1,8,5]=>[5,8,1,7,2,6,10,3,9,4]
[5,3,10,6,2,9,7,1,8,4]=>[4,8,1,7,9,2,6,10,3,5]
[5,4,6,2,10,7,1,9,8,3]=>[3,8,9,1,7,10,2,6,4,5]
[5,4,6,3,7,1,9,10,8,2]=>[2,8,10,9,1,7,3,6,4,5]
[2,3,4,5,6,7,1,8,10,9]=>[9,10,8,1,7,6,5,4,3,2]
[2,3,4,5,6,1,7,8,10,9]=>[9,10,8,7,1,6,5,4,3,2]
[2,3,4,5,1,6,7,8,10,9]=>[9,10,8,7,6,1,5,4,3,2]
[2,3,4,1,5,6,7,8,10,9]=>[9,10,8,7,6,5,1,4,3,2]
[2,3,1,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,1,3,2]
[1,2,4,3,6,8,10,9,7,5]=>[5,7,9,10,8,6,3,4,2,1]
[1,2,4,3,6,10,9,8,7,5]=>[5,7,8,9,10,6,3,4,2,1]
[1,8,2,10,9,3,7,4,6,5]=>[5,6,4,7,3,9,10,2,8,1]
[1,8,2,7,3,9,4,6,5,10]=>[10,5,6,4,9,3,7,2,8,1]
[1,8,2,7,3,6,4,9,5,10]=>[10,5,9,4,6,3,7,2,8,1]
[1,8,2,7,3,6,4,5,10,9]=>[9,10,5,4,6,3,7,2,8,1]
[1,8,2,7,3,6,9,4,5,10]=>[10,5,4,9,6,3,7,2,8,1]
[1,8,2,7,9,3,6,4,5,10]=>[10,5,4,6,3,9,7,2,8,1]
[1,8,10,9,2,7,3,6,4,5]=>[5,4,6,3,7,2,9,10,8,1]
[1,7,3,9,2,10,8,4,6,5]=>[5,6,4,8,10,2,9,3,7,1]
[1,8,2,6,4,10,7,3,9,5]=>[5,9,3,7,10,4,6,2,8,1]
[1,8,2,7,3,5,10,6,4,9]=>[9,4,6,10,5,3,7,2,8,1]
[1,8,2,7,10,4,5,3,6,9]=>[9,6,3,5,4,10,7,2,8,1]
[1,8,10,3,6,2,7,9,4,5]=>[5,4,9,7,2,6,3,10,8,1]
[1,8,10,2,7,3,6,4,5,9]=>[9,5,4,6,3,7,2,10,8,1]
[3,4,5,6,7,10,2,1,8,9]=>[9,8,1,2,10,7,6,5,4,3]
[2,3,5,8,9,10,1,4,6,7]=>[7,6,4,1,10,9,8,5,3,2]
[9,8,7,6,2,1,3,4,5,10]=>[10,5,4,3,1,2,6,7,8,9]
[9,8,2,1,3,4,5,6,7,10]=>[10,7,6,5,4,3,1,2,8,9]
[5,6,9,3,7,4,10,1,8,2]=>[2,8,1,10,4,7,3,9,6,5]
[5,7,3,8,6,4,10,1,9,2]=>[2,9,1,10,4,6,8,3,7,5]
[5,7,3,9,6,4,10,1,8,2]=>[2,8,1,10,4,6,9,3,7,5]
[5,8,3,9,6,4,10,1,7,2]=>[2,7,1,10,4,6,9,3,8,5]
[6,8,4,7,3,5,10,1,9,2]=>[2,9,1,10,5,3,7,4,8,6]
[6,9,4,7,3,5,10,1,8,2]=>[2,8,1,10,5,3,7,4,9,6]
[7,4,8,6,3,5,10,1,9,2]=>[2,9,1,10,5,3,6,8,4,7]
[7,4,9,6,3,5,10,1,8,2]=>[2,8,1,10,5,3,6,9,4,7]
[8,4,9,6,3,5,10,1,7,2]=>[2,7,1,10,5,3,6,9,4,8]
[7,4,5,3,8,6,10,1,9,2]=>[2,9,1,10,6,8,3,5,4,7]
[7,4,5,3,9,6,10,1,8,2]=>[2,8,1,10,6,9,3,5,4,7]
[8,4,5,3,9,6,10,1,7,2]=>[2,7,1,10,6,9,3,5,4,8]
[8,4,5,3,7,9,1,10,6,2]=>[2,6,10,1,9,7,3,5,4,8]
[5,6,8,2,7,4,10,1,9,3]=>[3,9,1,10,4,7,2,8,6,5]
[5,6,9,2,7,4,10,1,8,3]=>[3,8,1,10,4,7,2,9,6,5]
[5,7,2,8,6,4,10,1,9,3]=>[3,9,1,10,4,6,8,2,7,5]
[5,7,2,9,6,4,10,1,8,3]=>[3,8,1,10,4,6,9,2,7,5]
[5,8,2,9,6,4,10,1,7,3]=>[3,7,1,10,4,6,9,2,8,5]
[6,8,4,7,2,5,10,1,9,3]=>[3,9,1,10,5,2,7,4,8,6]
[6,9,4,7,2,5,10,1,8,3]=>[3,8,1,10,5,2,7,4,9,6]
[7,4,8,6,2,5,10,1,9,3]=>[3,9,1,10,5,2,6,8,4,7]
[7,4,9,6,2,5,10,1,8,3]=>[3,8,1,10,5,2,6,9,4,7]
[8,4,9,6,2,5,10,1,7,3]=>[3,7,1,10,5,2,6,9,4,8]
[7,4,5,2,8,6,10,1,9,3]=>[3,9,1,10,6,8,2,5,4,7]
[7,4,5,2,9,6,10,1,8,3]=>[3,8,1,10,6,9,2,5,4,7]
[8,4,5,2,9,6,10,1,7,3]=>[3,7,1,10,6,9,2,5,4,8]
[8,4,5,2,7,9,1,10,6,3]=>[3,6,10,1,9,7,2,5,4,8]
[6,8,3,7,2,5,10,1,9,4]=>[4,9,1,10,5,2,7,3,8,6]
[6,9,3,7,2,5,10,1,8,4]=>[4,8,1,10,5,2,7,3,9,6]
[7,3,8,6,2,5,10,1,9,4]=>[4,9,1,10,5,2,6,8,3,7]
[7,3,9,6,2,5,10,1,8,4]=>[4,8,1,10,5,2,6,9,3,7]
[8,3,9,6,2,5,10,1,7,4]=>[4,7,1,10,5,2,6,9,3,8]
[7,3,5,2,8,6,10,1,9,4]=>[4,9,1,10,6,8,2,5,3,7]
[7,3,5,2,9,6,10,1,8,4]=>[4,8,1,10,6,9,2,5,3,7]
[8,3,5,2,9,6,10,1,7,4]=>[4,7,1,10,6,9,2,5,3,8]
[8,3,5,2,7,9,1,10,6,4]=>[4,6,10,1,9,7,2,5,3,8]
[7,4,3,8,6,10,2,9,1,5]=>[5,1,9,2,10,6,8,3,4,7]
[7,4,3,9,6,10,2,8,1,5]=>[5,1,8,2,10,6,9,3,4,7]
[8,4,3,9,6,10,2,7,1,5]=>[5,1,7,2,10,6,9,3,4,8]
[8,4,3,7,9,2,10,6,1,5]=>[5,1,6,10,2,9,7,3,4,8]
[8,4,3,7,9,2,5,1,10,6]=>[6,10,1,5,2,9,7,3,4,8]
[6,5,8,7,9,10,2,4,1,3]=>[3,1,4,2,10,9,7,8,5,6]
[7,5,9,8,10,2,1,6,3,4]=>[4,3,6,1,2,10,8,9,5,7]
[7,5,9,10,8,2,1,6,3,4]=>[4,3,6,1,2,8,10,9,5,7]
[7,9,5,10,8,2,1,6,3,4]=>[4,3,6,1,2,8,10,5,9,7]
[5,9,7,10,8,2,1,6,3,4]=>[4,3,6,1,2,8,10,7,9,5]
[5,8,7,10,9,2,1,6,3,4]=>[4,3,6,1,2,9,10,7,8,5]
[6,8,7,10,9,3,1,5,2,4]=>[4,2,5,1,3,9,10,7,8,6]
[6,8,7,10,9,2,1,5,3,4]=>[4,3,5,1,2,9,10,7,8,6]
[6,8,7,10,9,2,1,4,3,5]=>[5,3,4,1,2,9,10,7,8,6]
[1,8,4,9,2,10,3,7,5,6]=>[6,5,7,3,10,2,9,4,8,1]
[1,9,2,10,3,6,7,4,8,5]=>[5,8,4,7,6,3,10,2,9,1]
[1,8,4,9,2,10,3,6,7,5]=>[5,7,6,3,10,2,9,4,8,1]
[1,7,3,6,8,4,9,2,10,5]=>[5,10,2,9,4,8,6,3,7,1]
[1,8,5,4,9,2,10,3,7,6]=>[6,7,3,10,2,9,4,5,8,1]
[1,8,5,4,9,2,10,3,6,7]=>[7,6,3,10,2,9,4,5,8,1]
[1,7,3,6,8,5,4,9,2,10]=>[10,2,9,4,5,8,6,3,7,1]
[1,9,2,10,3,5,4,8,6,7]=>[7,6,8,4,5,3,10,2,9,1]
[1,8,6,7,3,5,4,9,2,10]=>[10,2,9,4,5,3,7,6,8,1]
[1,7,3,5,4,9,2,10,6,8]=>[8,6,10,2,9,4,5,3,7,1]
[1,6,8,7,3,5,4,9,2,10]=>[10,2,9,4,5,3,7,8,6,1]
[1,7,2,10,3,6,8,4,9,5]=>[5,9,4,8,6,3,10,2,7,1]
[1,7,2,10,3,6,8,5,4,9]=>[9,4,5,8,6,3,10,2,7,1]
[1,8,6,7,2,10,3,5,4,9]=>[9,4,5,3,10,2,7,6,8,1]
[1,7,2,10,3,5,4,9,6,8]=>[8,6,9,4,5,3,10,2,7,1]
[1,6,8,7,2,10,3,5,4,9]=>[9,4,5,3,10,2,7,8,6,1]
[1,9,2,10,4,8,5,3,7,6]=>[6,7,3,5,8,4,10,2,9,1]
[1,8,5,3,7,2,10,4,9,6]=>[6,9,4,10,2,7,3,5,8,1]
[1,9,2,10,4,8,5,3,6,7]=>[7,6,3,5,8,4,10,2,9,1]
[1,8,5,3,6,7,2,10,4,9]=>[9,4,10,2,7,6,3,5,8,1]
[1,7,2,10,4,9,3,6,8,5]=>[5,8,6,3,9,4,10,2,7,1]
[1,9,2,10,4,8,6,7,3,5]=>[5,3,7,6,8,4,10,2,9,1]
[1,8,6,7,2,10,4,9,3,5]=>[5,3,9,4,10,2,7,6,8,1]
[1,7,2,10,4,9,3,5,6,8]=>[8,6,5,3,9,4,10,2,7,1]
[1,6,8,7,2,10,4,9,3,5]=>[5,3,9,4,10,2,7,8,6,1]
[1,9,2,10,5,3,4,8,6,7]=>[7,6,8,4,3,5,10,2,9,1]
[1,8,6,7,2,10,5,3,4,9]=>[9,4,3,5,10,2,7,6,8,1]
[1,7,2,10,5,3,4,9,6,8]=>[8,6,9,4,3,5,10,2,7,1]
[1,6,8,7,2,10,5,3,4,9]=>[9,4,3,5,10,2,7,8,6,1]
[1,5,3,4,9,2,10,6,8,7]=>[7,8,6,10,2,9,4,3,5,1]
[8,7,6,5,9,10,2,1,4,3]=>[3,4,1,2,10,9,5,6,7,8]
[6,5,10,9,7,8,2,1,4,3]=>[3,4,1,2,8,7,9,10,5,6]
[10,7,5,9,8,6,2,1,4,3]=>[3,4,1,2,6,8,9,5,7,10]
[10,9,8,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,8,9,10]
[8,7,10,9,2,3,4,1,6,5]=>[5,6,1,4,3,2,9,10,7,8]
[10,9,8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8,9,10]
[6,3,7,9,8,2,1,10,5,4]=>[4,5,10,1,2,8,9,7,3,6]
[7,6,3,10,9,2,1,8,5,4]=>[4,5,8,1,2,9,10,3,6,7]
[10,9,3,7,6,2,1,8,5,4]=>[4,5,8,1,2,6,7,3,9,10]
[5,4,3,6,7,9,10,8,2,1]=>[1,2,8,10,9,7,6,3,4,5]
[6,5,3,4,9,10,7,8,2,1]=>[1,2,8,7,10,9,4,3,5,6]
[8,7,6,5,9,10,4,3,2,1]=>[1,2,3,4,10,9,5,6,7,8]
[10,7,5,9,8,6,4,3,2,1]=>[1,2,3,4,6,8,9,5,7,10]
[8,7,10,9,4,2,3,6,5,1]=>[1,5,6,3,2,4,9,10,7,8]
[10,9,8,7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7,8,9,10]
[7,6,2,10,9,3,1,5,8,4]=>[4,8,5,1,3,9,10,2,6,7]
[1,7,6,9,8,3,2,5,4,10]=>[10,4,5,2,3,8,9,6,7,1]
[1,9,8,7,6,3,2,5,4,10]=>[10,4,5,2,3,6,7,8,9,1]
[5,4,2,6,7,9,10,3,8,1]=>[1,8,3,10,9,7,6,2,4,5]
[1,5,4,6,7,8,9,3,2,10]=>[10,2,3,9,8,7,6,4,5,1]
[1,6,5,4,8,9,7,3,2,10]=>[10,2,3,7,9,8,4,5,6,1]
[1,9,8,4,5,6,7,3,2,10]=>[10,2,3,7,6,5,4,8,9,1]
[7,6,2,10,9,5,4,3,8,1]=>[1,8,3,4,5,9,10,2,6,7]
[1,7,6,9,8,5,4,3,2,10]=>[10,2,3,4,5,8,9,6,7,1]
[6,5,2,3,9,10,4,7,8,1]=>[1,8,7,4,10,9,3,2,5,6]
[1,6,5,3,8,9,4,7,2,10]=>[10,2,7,4,9,8,3,5,6,1]
[1,2,6,5,7,8,4,3,9,10]=>[10,9,3,4,8,7,5,6,2,1]
[1,2,8,7,5,6,4,3,9,10]=>[10,9,3,4,6,5,7,8,2,1]
[1,9,8,3,4,5,6,7,2,10]=>[10,2,7,6,5,4,3,8,9,1]
[1,2,8,7,4,5,6,3,9,10]=>[10,9,3,6,5,4,7,8,2,1]
[8,9,10,7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7,10,9,8]
[9,10,8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8,10,9]
[8,9,10,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,10,9,8]
[10,2,4,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,4,2,10]
[5,1,3,10,2,4,6,7,8,9]=>[9,8,7,6,4,2,10,3,1,5]
[10,2,4,6,1,3,5,7,8,9]=>[9,8,7,5,3,1,6,4,2,10]
[7,1,3,5,10,2,4,6,8,9]=>[9,8,6,4,2,10,5,3,1,7]
[10,2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2,10]
[2,4,5,10,1,3,6,7,8,9]=>[9,8,7,6,3,1,10,5,4,2]
[2,5,6,7,10,1,3,4,8,9]=>[9,8,4,3,1,10,7,6,5,2]
[3,4,5,6,10,1,2,7,8,9]=>[9,8,7,2,1,10,6,5,4,3]
[2,3,5,6,10,1,4,7,8,9]=>[9,8,7,4,1,10,6,5,3,2]
[6,7,8,9,5,10,1,2,3,4]=>[4,3,2,1,10,5,9,8,7,6]
[3,4,6,7,8,10,1,2,5,9]=>[9,5,2,1,10,8,7,6,4,3]
[2,3,6,7,8,10,1,4,5,9]=>[9,5,4,1,10,8,7,6,3,2]
[2,4,5,6,7,10,1,3,8,9]=>[9,8,3,1,10,7,6,5,4,2]
[2,3,4,6,7,10,1,5,8,9]=>[9,8,5,1,10,7,6,4,3,2]
[3,4,7,8,9,6,10,1,2,5]=>[5,2,1,10,6,9,8,7,4,3]
[2,3,7,8,9,6,10,1,4,5]=>[5,4,1,10,6,9,8,7,3,2]
[2,4,5,7,8,9,10,1,3,6]=>[6,3,1,10,9,8,7,5,4,2]
[2,3,5,6,7,8,10,1,4,9]=>[9,4,1,10,8,7,6,5,3,2]
[2,3,4,5,7,8,10,1,6,9]=>[9,6,1,10,8,7,5,4,3,2]
[2,5,6,4,8,9,7,10,1,3]=>[3,1,10,7,9,8,4,6,5,2]
[3,4,5,6,8,9,7,10,1,2]=>[2,1,10,7,9,8,6,5,4,3]
[2,3,5,6,8,9,7,10,1,4]=>[4,1,10,7,9,8,6,5,3,2]
[2,3,4,5,8,9,7,10,1,6]=>[6,1,10,7,9,8,5,4,3,2]
[2,3,5,4,7,6,9,8,10,1]=>[1,10,8,9,6,7,4,5,3,2]
[2,3,4,5,7,6,9,8,10,1]=>[1,10,8,9,6,7,5,4,3,2]
[10,4,1,2,9,3,5,6,7,8]=>[8,7,6,5,3,9,2,1,4,10]
[10,4,1,9,2,3,5,6,7,8]=>[8,7,6,5,3,2,9,1,4,10]
[9,10,4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4,10,9]
[10,1,2,3,4,8,5,6,7,9]=>[9,7,6,5,8,4,3,2,1,10]
[10,1,2,3,4,7,5,6,8,9]=>[9,8,6,5,7,4,3,2,1,10]
[4,3,1,10,9,2,5,6,7,8]=>[8,7,6,5,2,9,10,1,3,4]
[2,10,4,9,1,3,5,6,7,8]=>[8,7,6,5,3,1,9,4,10,2]
[2,9,1,3,4,10,5,6,7,8]=>[8,7,6,5,10,4,3,1,9,2]
[10,7,9,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,9,7,10]
[6,1,2,3,4,8,5,10,7,9]=>[9,7,10,5,8,4,3,2,1,6]
[2,1,9,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,9,1,2]
[2,9,3,4,5,6,7,8,1,10]=>[10,1,8,7,6,5,4,3,9,2]
[6,10,9,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,9,10,6]
[5,10,9,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,9,10,5]
[4,10,9,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,9,10,4]
[3,1,5,2,4,6,7,8,9,10]=>[10,9,8,7,6,4,2,5,1,3]
[2,3,9,5,6,10,8,4,1,7]=>[7,1,4,8,10,6,5,9,3,2]
[2,6,4,5,9,10,8,3,1,7]=>[7,1,3,8,10,9,5,4,6,2]
[2,8,4,5,9,7,3,1,10,6]=>[6,10,1,3,7,9,5,4,8,2]
[2,3,4,10,6,9,8,1,7,5]=>[5,7,1,8,9,6,10,4,3,2]
[2,3,9,5,6,10,8,1,7,4]=>[4,7,1,8,10,6,5,9,3,2]
[2,3,9,5,8,7,1,10,6,4]=>[4,6,10,1,7,8,5,9,3,2]
[2,6,4,5,9,10,8,1,7,3]=>[3,7,1,8,10,9,5,4,6,2]
[2,8,4,5,9,7,1,10,6,3]=>[3,6,10,1,7,9,5,4,8,2]
[2,3,9,5,6,10,8,7,4,1]=>[1,4,7,8,10,6,5,9,3,2]
[2,3,9,5,8,7,10,6,4,1]=>[1,4,6,10,7,8,5,9,3,2]
[2,6,4,5,9,10,8,7,3,1]=>[1,3,7,8,10,9,5,4,6,2]
[2,8,4,5,9,7,10,6,3,1]=>[1,3,6,10,7,9,5,4,8,2]
[2,8,4,5,9,7,6,3,1,10]=>[10,1,3,6,7,9,5,4,8,2]
[2,3,4,10,8,7,9,1,6,5]=>[5,6,1,9,7,8,10,4,3,2]
[2,3,8,5,10,7,9,1,6,4]=>[4,6,1,9,7,10,5,8,3,2]
[2,3,9,7,6,8,1,10,5,4]=>[4,5,10,1,8,6,7,9,3,2]
[2,5,4,8,10,7,9,1,6,3]=>[3,6,1,9,7,10,8,4,5,2]
[2,7,4,9,6,8,1,10,5,3]=>[3,5,10,1,8,6,9,4,7,2]
[2,3,4,10,8,7,9,6,5,1]=>[1,5,6,9,7,8,10,4,3,2]
[2,3,8,5,10,7,9,6,4,1]=>[1,4,6,9,7,10,5,8,3,2]
[2,3,9,7,6,8,10,5,4,1]=>[1,4,5,10,8,6,7,9,3,2]
[2,3,9,7,6,8,5,4,1,10]=>[10,1,4,5,8,6,7,9,3,2]
[2,5,4,8,10,7,9,6,3,1]=>[1,3,6,9,7,10,8,4,5,2]
[2,7,4,9,6,8,10,5,3,1]=>[1,3,5,10,8,6,9,4,7,2]
[2,7,4,9,6,8,5,3,1,10]=>[10,1,3,5,8,6,9,4,7,2]
[2,8,6,5,7,9,10,4,3,1]=>[1,3,4,10,9,7,5,6,8,2]
[2,8,6,5,7,9,4,3,1,10]=>[10,1,3,4,9,7,5,6,8,2]
[4,3,5,8,10,7,9,1,6,2]=>[2,6,1,9,7,10,8,5,3,4]
[4,3,7,9,6,8,1,10,5,2]=>[2,5,10,1,8,6,9,7,3,4]
[4,3,5,8,10,7,9,6,2,1]=>[1,2,6,9,7,10,8,5,3,4]
[4,3,7,9,6,8,10,5,2,1]=>[1,2,5,10,8,6,9,7,3,4]
[4,3,7,9,6,8,5,2,1,10]=>[10,1,2,5,8,6,9,7,3,4]
[6,3,8,5,7,9,10,4,2,1]=>[1,2,4,10,9,7,5,8,3,6]
[6,3,8,5,7,9,4,2,1,10]=>[10,1,2,4,9,7,5,8,3,6]
[5,6,8,2,7,1,10,3,9,4]=>[4,9,3,10,1,7,2,8,6,5]
[8,4,7,3,5,6,10,1,9,2]=>[2,9,1,10,6,5,3,7,4,8]
[8,4,7,2,5,10,1,9,3,6]=>[6,3,9,1,10,5,2,7,4,8]
[8,3,7,2,10,1,9,4,5,6]=>[6,5,4,9,1,10,2,7,3,8]
[8,5,3,7,6,4,10,1,9,2]=>[2,9,1,10,4,6,7,3,5,8]
[8,5,2,7,6,1,10,3,9,4]=>[4,9,3,10,1,6,7,2,5,8]
[4,7,3,6,5,8,10,1,9,2]=>[2,9,1,10,8,5,6,3,7,4]
[4,7,2,6,5,10,1,9,3,8]=>[8,3,9,1,10,5,6,2,7,4]
[7,3,6,2,10,1,4,9,5,8]=>[8,5,9,4,1,10,2,6,3,7]
[4,5,3,6,7,8,10,1,9,2]=>[2,9,1,10,8,7,6,3,5,4]
[4,5,2,6,7,10,1,9,3,8]=>[8,3,9,1,10,7,6,2,5,4]
[5,3,6,10,2,9,1,4,7,8]=>[8,7,4,1,9,2,10,6,3,5]
[4,3,10,2,9,1,5,6,7,8]=>[8,7,6,5,1,9,2,10,3,4]
[5,6,10,3,9,4,7,1,8,2]=>[2,8,1,7,4,9,3,10,6,5]
[5,6,10,2,9,1,7,3,8,4]=>[4,8,3,7,1,9,2,10,6,5]
[10,4,9,3,5,6,7,1,8,2]=>[2,8,1,7,6,5,3,9,4,10]
[10,4,9,2,5,7,1,8,3,6]=>[6,3,8,1,7,5,2,9,4,10]
[10,3,9,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,9,3,10]
[10,5,3,7,4,9,6,1,8,2]=>[2,8,1,6,9,4,7,3,5,10]
[10,5,2,7,1,9,6,3,8,4]=>[4,8,3,6,9,1,7,2,5,10]
[4,7,3,10,5,6,1,9,8,2]=>[2,8,9,1,6,5,10,3,7,4]
[7,3,9,2,6,1,4,8,5,10]=>[10,5,8,4,1,6,2,9,3,7]
[4,6,7,10,3,5,1,9,8,2]=>[2,8,9,1,5,3,10,7,6,4]
[4,6,7,9,2,5,1,8,3,10]=>[10,3,8,1,5,2,9,7,6,4]
[6,9,3,5,2,8,1,4,7,10]=>[10,7,4,1,8,2,5,3,9,6]
[9,3,4,2,8,1,5,6,7,10]=>[10,7,6,5,1,8,2,4,3,9]
[10,3,9,5,4,8,6,1,7,2]=>[2,7,1,6,8,4,5,9,3,10]
[10,2,9,5,1,8,6,3,7,4]=>[4,7,3,6,8,1,5,9,2,10]
[10,4,3,9,8,5,6,1,7,2]=>[2,7,1,6,5,8,9,3,4,10]
[9,4,2,8,5,6,1,7,3,10]=>[10,3,7,1,6,5,8,2,4,9]
[3,9,2,8,1,6,4,7,5,10]=>[10,5,7,4,6,1,8,2,9,3]
[6,10,4,3,5,1,9,8,7,2]=>[2,7,8,9,1,5,3,4,10,6]
[6,9,4,2,5,1,8,7,3,10]=>[10,3,7,8,1,5,2,4,9,6]
[3,8,4,2,7,1,5,6,9,10]=>[10,9,6,5,1,7,2,4,8,3]
[4,3,10,5,1,9,8,7,6,2]=>[2,6,7,8,9,1,5,10,3,4]
[4,2,9,5,1,8,7,6,3,10]=>[10,3,6,7,8,1,5,9,2,4]
[3,8,5,2,7,6,1,4,9,10]=>[10,9,4,1,6,7,2,5,8,3]
[8,1,2,9,10,3,4,5,6,7]=>[7,6,5,4,3,10,9,2,1,8]
[9,1,2,3,10,8,4,5,6,7]=>[7,6,5,4,8,10,3,2,1,9]
[10,1,2,3,4,9,8,5,6,7]=>[7,6,5,8,9,4,3,2,1,10]
[10,1,2,3,4,5,8,9,6,7]=>[7,6,9,8,5,4,3,2,1,10]
[1,4,7,10,3,6,9,2,5,8]=>[8,5,2,9,6,3,10,7,4,1]
[1,4,7,10,2,5,8,3,6,9]=>[9,6,3,8,5,2,10,7,4,1]
[1,5,9,3,7,2,6,10,4,8]=>[8,4,10,6,2,7,3,9,5,1]
[1,5,9,4,8,3,7,2,6,10]=>[10,6,2,7,3,8,4,9,5,1]
[1,5,9,2,6,10,3,7,4,8]=>[8,4,7,3,10,6,2,9,5,1]
[1,6,3,8,5,10,2,7,4,9]=>[9,4,7,2,10,5,8,3,6,1]
[1,6,4,9,3,8,2,7,5,10]=>[10,5,7,2,8,3,9,4,6,1]
[1,6,4,9,2,7,5,10,3,8]=>[8,3,10,5,7,2,9,4,6,1]
[1,7,5,3,9,2,8,6,4,10]=>[10,4,6,8,2,9,3,5,7,1]
[1,7,6,5,4,10,3,9,2,8]=>[8,2,9,3,10,4,5,6,7,1]
[1,7,6,5,4,10,2,8,3,9]=>[9,3,8,2,10,4,5,6,7,1]
[1,7,3,9,2,8,4,10,5,6]=>[6,5,10,4,8,2,9,3,7,1]
[1,7,4,10,2,8,3,9,5,6]=>[6,5,9,3,8,2,10,4,7,1]
[1,8,3,10,2,9,4,5,6,7]=>[7,6,5,4,9,2,10,3,8,1]
[1,8,4,5,6,7,3,10,2,9]=>[9,2,10,3,7,6,5,4,8,1]
[1,8,2,9,3,10,4,6,5,7]=>[7,5,6,4,10,3,9,2,8,1]
[1,8,3,10,2,9,4,6,5,7]=>[7,5,6,4,9,2,10,3,8,1]
[1,8,3,10,2,9,4,7,5,6]=>[6,5,7,4,9,2,10,3,8,1]
[1,10,9,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,9,10,1]
[10,9,3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3,9,10]
[1,9,2,10,3,7,5,4,8,6]=>[6,8,4,5,7,3,10,2,9,1]
[1,9,3,7,5,4,8,2,10,6]=>[6,10,2,8,4,5,7,3,9,1]
[1,9,5,3,7,2,10,6,4,8]=>[8,4,6,10,2,7,3,5,9,1]
[1,9,2,10,3,6,8,4,5,7]=>[7,5,4,8,6,3,10,2,9,1]
[1,9,3,6,8,2,10,4,5,7]=>[7,5,4,10,2,8,6,3,9,1]
[1,9,2,10,3,6,4,5,7,8]=>[8,7,5,4,6,3,10,2,9,1]
[1,9,3,6,2,10,8,4,5,7]=>[7,5,4,8,10,2,6,3,9,1]
[1,9,5,7,2,10,8,4,3,6]=>[6,3,4,8,10,2,7,5,9,1]
[1,9,2,10,3,5,4,6,7,8]=>[8,7,6,4,5,3,10,2,9,1]
[1,9,3,5,2,10,8,4,6,7]=>[7,6,4,8,10,2,5,3,9,1]
[1,9,7,2,10,8,4,3,5,6]=>[6,5,3,4,8,10,2,7,9,1]
[1,9,7,5,2,10,8,6,3,4]=>[4,3,6,8,10,2,5,7,9,1]
[1,8,4,10,2,7,3,9,5,6]=>[6,5,9,3,7,2,10,4,8,1]
[1,8,2,7,3,9,4,10,5,6]=>[6,5,10,4,9,3,7,2,8,1]
[1,8,6,3,9,2,7,5,4,10]=>[10,4,5,7,2,9,3,6,8,1]
[1,8,2,7,5,4,10,6,3,9]=>[9,3,6,10,4,5,7,2,8,1]
[1,8,4,10,6,2,7,3,9,5]=>[5,9,3,7,2,6,10,4,8,1]
[1,8,4,5,7,3,9,2,6,10]=>[10,6,2,9,3,7,5,4,8,1]
[1,8,10,2,6,3,9,4,5,7]=>[7,5,4,9,3,6,2,10,8,1]
[1,8,4,3,9,5,7,2,6,10]=>[10,6,2,7,5,9,3,4,8,1]
[1,8,10,2,5,3,9,4,6,7]=>[7,6,4,9,3,5,2,10,8,1]
[1,8,2,5,3,9,4,6,7,10]=>[10,7,6,4,9,3,5,2,8,1]
[1,8,4,3,9,7,2,5,6,10]=>[10,6,5,2,7,9,3,4,8,1]
[1,8,6,2,4,3,9,7,5,10]=>[10,5,7,9,3,4,2,6,8,1]
[1,7,3,5,9,2,6,10,4,8]=>[8,4,10,6,2,9,5,3,7,1]
[1,7,2,6,10,4,8,3,5,9]=>[9,5,3,8,4,10,6,2,7,1]
[1,7,5,9,2,6,3,4,8,10]=>[10,8,4,3,6,2,9,5,7,1]
[1,7,5,9,3,4,8,2,6,10]=>[10,6,2,8,4,3,9,5,7,1]
[1,7,2,6,3,4,8,5,9,10]=>[10,9,5,8,4,3,6,2,7,1]
[1,7,9,2,5,3,4,8,10,6]=>[6,10,8,4,3,5,2,9,7,1]
[1,7,9,3,4,8,2,5,6,10]=>[10,6,5,2,8,4,3,9,7,1]
[1,7,5,2,4,8,6,3,9,10]=>[10,9,3,6,8,4,2,5,7,1]
[1,6,8,10,2,5,7,9,3,4]=>[4,3,9,7,5,2,10,8,6,1]
[1,6,8,2,5,7,9,3,4,10]=>[10,4,3,9,7,5,2,8,6,1]
[1,6,8,4,2,5,7,3,9,10]=>[10,9,3,7,5,2,4,8,6,1]
[1,2,3,7,4,5,6,8,9,10]=>[10,9,8,6,5,4,7,3,2,1]
[2,1,4,3,9,6,10,7,8,5]=>[5,8,7,10,6,9,3,4,1,2]
[2,1,9,6,10,7,8,4,5,3]=>[3,5,4,8,7,10,6,9,1,2]
[2,1,7,4,8,5,6,3,10,9]=>[9,10,3,6,5,8,4,7,1,2]
[2,1,7,4,10,8,9,5,6,3]=>[3,6,5,9,8,10,4,7,1,2]
[2,1,10,7,8,4,9,5,6,3]=>[3,6,5,9,4,8,7,10,1,2]
[2,1,9,5,8,4,10,6,7,3]=>[3,7,6,10,4,8,5,9,1,2]
[4,2,3,1,9,6,10,7,8,5]=>[5,8,7,10,6,9,1,3,2,4]
[9,6,10,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,10,6,9]
[7,4,8,5,6,2,3,1,10,9]=>[9,10,1,3,2,6,5,8,4,7]
[7,4,10,8,9,5,6,2,3,1]=>[1,3,2,6,5,9,8,10,4,7]
[10,7,8,4,9,5,6,2,3,1]=>[1,3,2,6,5,9,4,8,7,10]
[9,5,8,4,10,6,7,2,3,1]=>[1,3,2,7,6,10,4,8,5,9]
[5,2,6,3,4,1,8,7,10,9]=>[9,10,7,8,1,4,3,6,2,5]
[5,2,6,3,4,1,10,8,9,7]=>[7,9,8,10,1,4,3,6,2,5]
[5,2,8,6,7,3,4,1,10,9]=>[9,10,1,4,3,7,6,8,2,5]
[5,2,10,8,9,6,7,3,4,1]=>[1,4,3,7,6,9,8,10,2,5]
[5,2,9,6,10,7,8,3,4,1]=>[1,4,3,8,7,10,6,9,2,5]
[8,5,6,2,7,3,4,1,10,9]=>[9,10,1,4,3,7,2,6,5,8]
[10,8,9,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,9,8,10]
[9,5,6,2,10,7,8,3,4,1]=>[1,4,3,8,7,10,2,6,5,9]
[10,6,7,2,9,5,8,3,4,1]=>[1,4,3,8,5,9,2,7,6,10]
[7,3,6,2,8,4,5,1,10,9]=>[9,10,1,5,4,8,2,6,3,7]
[7,3,6,2,10,8,9,4,5,1]=>[1,5,4,9,8,10,2,6,3,7]
[10,7,8,3,6,2,9,4,5,1]=>[1,5,4,9,2,6,3,8,7,10]
[8,3,10,6,7,2,9,4,5,1]=>[1,5,4,9,2,7,6,10,3,8]
[10,8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8,10]
[3,2,10,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,10,2,3]
[1,4,10,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,10,4,1]
[1,5,10,3,4,2,6,7,8,9]=>[9,8,7,6,2,4,3,10,5,1]
[6,2,10,3,4,5,1,7,8,9]=>[9,8,7,1,5,4,3,10,2,6]
[1,7,10,3,4,5,6,2,8,9]=>[9,8,2,6,5,4,3,10,7,1]
[1,8,10,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,10,8,1]
[9,2,10,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,10,2,9]
[4,1,3,10,2,5,6,7,8,9]=>[9,8,7,6,5,2,10,3,1,4]
[2,5,10,4,3,1,6,7,8,9]=>[9,8,7,6,1,3,4,10,5,2]
[2,6,10,3,5,4,1,7,8,9]=>[9,8,7,1,4,5,3,10,6,2]
[7,1,10,3,4,6,5,2,8,9]=>[9,8,2,5,6,4,3,10,1,7]
[2,8,10,3,4,5,7,6,1,9]=>[9,1,6,7,5,4,3,10,8,2]
[2,9,10,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,10,9,2]
[9,1,10,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,10,1,9]
[3,1,10,2,9,4,5,6,7,8]=>[8,7,6,5,4,9,2,10,1,3]
[4,1,2,9,3,10,5,6,7,8]=>[8,7,6,5,10,3,9,2,1,4]
[5,1,2,3,10,4,9,6,7,8]=>[8,7,6,9,4,10,3,2,1,5]
[6,1,2,3,4,10,5,9,7,8]=>[8,7,9,5,10,4,3,2,1,6]
[5,4,6,3,7,2,9,10,8,1]=>[1,8,10,9,2,7,3,6,4,5]
[5,4,6,3,7,2,9,10,1,8]=>[8,1,10,9,2,7,3,6,4,5]
[9,10,7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7,10,9]
[9,10,7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7,10,9]
[9,10,7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7,10,9]
[9,10,7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7,10,9]
[9,10,8,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,8,10,9]
[9,10,8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8,10,9]
[9,10,8,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,8,10,9]
[9,10,8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8,10,9]
[9,10,8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8,10,9]
[9,10,8,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,8,10,9]
[9,10,8,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,8,10,9]
[9,10,8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8,10,9]
[9,10,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,10,9]
[10,8,7,9,5,6,4,2,1,3]=>[3,1,2,4,6,5,9,7,8,10]
[10,8,7,9,6,4,3,5,1,2]=>[2,1,5,3,4,6,9,7,8,10]
[10,8,7,9,6,4,5,2,1,3]=>[3,1,2,5,4,6,9,7,8,10]
[10,8,7,9,6,5,3,2,1,4]=>[4,1,2,3,5,6,9,7,8,10]
[10,8,9,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,9,8,10]
[10,8,9,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,9,8,10]
[10,8,9,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,9,8,10]
[10,8,9,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,9,8,10]
[10,8,9,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,9,8,10]
[10,8,9,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,9,8,10]
[10,8,9,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,9,8,10]
[10,8,9,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,9,8,10]
[10,9,7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7,9,10]
[10,9,7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7,9,10]
[10,9,7,6,8,4,3,5,1,2]=>[2,1,5,3,4,8,6,7,9,10]
[10,9,7,6,8,4,5,2,1,3]=>[3,1,2,5,4,8,6,7,9,10]
[10,9,7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7,9,10]
[10,9,7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7,9,10]
[10,9,7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7,9,10]
[10,9,7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7,9,10]
[10,9,7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7,9,10]
[10,9,8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8,9,10]
[10,9,8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8,9,10]
[10,9,8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8,9,10]
[10,9,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,9,10]
[1,3,5,2,4,6,7,8,9,10]=>[10,9,8,7,6,4,2,5,3,1]
[1,3,4,5,7,2,6,8,9,10]=>[10,9,8,6,2,7,5,4,3,1]
[1,7,3,10,2,8,4,9,5,6]=>[6,5,9,4,8,2,10,3,7,1]
[1,9,2,10,3,5,8,4,6,7]=>[7,6,4,8,5,3,10,2,9,1]
[1,5,9,2,8,4,6,7,3,10]=>[10,3,7,6,4,8,2,9,5,1]
[1,5,9,2,6,8,4,10,3,7]=>[7,3,10,4,8,6,2,9,5,1]
[1,9,2,10,3,7,6,4,8,5]=>[5,8,4,6,7,3,10,2,9,1]
[1,7,6,4,9,2,8,5,3,10]=>[10,3,5,8,2,9,4,6,7,1]
[1,9,2,10,3,4,6,5,8,7]=>[7,8,5,6,4,3,10,2,9,1]
[1,3,10,2,8,5,9,4,6,7]=>[7,6,4,9,5,8,2,10,3,1]
[1,3,7,8,5,9,2,6,4,10]=>[10,4,6,2,9,5,8,7,3,1]
[1,9,2,10,3,4,5,6,8,7]=>[7,8,6,5,4,3,10,2,9,1]
[1,3,10,2,8,6,9,4,5,7]=>[7,5,4,9,6,8,2,10,3,1]
[1,3,7,8,6,9,2,4,10,5]=>[5,10,4,2,9,6,8,7,3,1]
[1,3,5,10,2,4,6,9,7,8]=>[8,7,9,6,4,2,10,5,3,1]
[1,9,4,8,2,10,3,7,5,6]=>[6,5,7,3,10,2,8,4,9,1]
[1,7,2,8,3,10,4,9,5,6]=>[6,5,9,4,10,3,8,2,7,1]
[1,9,4,6,7,2,10,3,5,8]=>[8,5,3,10,2,7,6,4,9,1]
[1,5,9,4,6,7,2,8,3,10]=>[10,3,8,2,7,6,4,9,5,1]
[1,5,9,4,10,3,7,2,6,8]=>[8,6,2,7,3,10,4,9,5,1]
[1,9,5,2,10,3,7,6,4,8]=>[8,4,6,7,3,10,2,5,9,1]
[1,7,6,4,9,5,2,8,3,10]=>[10,3,8,2,5,9,4,6,7,1]
[1,9,5,8,2,10,3,4,6,7]=>[7,6,4,3,10,2,8,5,9,1]
[1,2,8,3,10,4,6,5,9,7]=>[7,9,5,6,4,10,3,8,2,1]
[1,2,6,4,10,3,7,8,5,9]=>[9,5,8,7,3,10,4,6,2,1]
[1,9,6,8,2,10,3,4,5,7]=>[7,5,4,3,10,2,8,6,9,1]
[1,2,8,3,10,4,5,6,9,7]=>[7,9,6,5,4,10,3,8,2,1]
[1,2,4,10,3,7,8,5,6,9]=>[9,6,5,8,7,3,10,4,2,1]
[1,2,4,6,9,7,8,3,5,10]=>[10,5,3,8,7,9,6,4,2,1]
[1,9,5,2,10,4,8,6,3,7]=>[7,3,6,8,4,10,2,5,9,1]
[1,7,3,10,4,9,5,2,8,6]=>[6,8,2,5,9,4,10,3,7,1]
[1,9,5,8,7,3,2,10,4,6]=>[6,4,10,2,3,7,8,5,9,1]
[1,2,8,7,3,10,4,6,5,9]=>[9,5,6,4,10,3,7,8,2,1]
[1,2,6,3,7,4,10,5,9,8]=>[8,9,5,10,4,7,3,6,2,1]
[1,9,6,8,7,3,2,10,4,5]=>[5,4,10,2,3,7,8,6,9,1]
[1,2,8,7,3,10,4,5,6,9]=>[9,6,5,4,10,3,7,8,2,1]
[1,2,3,7,4,10,5,6,9,8]=>[8,9,6,5,10,4,7,3,2,1]
[1,2,3,5,10,4,6,9,7,8]=>[8,7,9,6,4,10,5,3,2,1]
[1,9,6,4,2,10,5,3,7,8]=>[8,7,3,5,10,2,4,6,9,1]
[1,2,8,7,9,6,4,3,10,5]=>[5,10,3,4,6,9,7,8,2,1]
[1,2,3,7,9,6,4,10,5,8]=>[8,5,10,4,6,9,7,3,2,1]
[1,2,3,4,6,5,10,7,9,8]=>[8,9,7,10,5,6,4,3,2,1]
[6,10,9,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,9,10,6]
[5,10,9,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,9,10,5]
[8,1,2,10,9,7,6,5,4,3]=>[3,4,5,6,7,9,10,2,1,8]
[9,8,6,10,1,7,5,4,3,2]=>[2,3,4,5,7,1,10,6,8,9]
[9,8,7,5,1,2,10,6,4,3]=>[3,4,6,10,2,1,5,7,8,9]
[9,8,7,6,4,10,1,5,3,2]=>[2,3,5,1,10,4,6,7,8,9]
[9,8,7,6,5,3,10,1,4,2]=>[2,4,1,10,3,5,6,7,8,9]
[6,1,8,3,4,5,10,7,9,2]=>[2,9,7,10,5,4,3,8,1,6]
[8,5,2,1,4,3,10,7,9,6]=>[6,9,7,10,3,4,1,2,5,8]
[4,1,8,3,10,5,6,7,9,2]=>[2,9,7,6,5,10,3,8,1,4]
[8,1,10,7,4,3,6,5,9,2]=>[2,9,5,6,3,4,7,10,1,8]
[10,5,2,7,4,1,6,3,9,8]=>[8,9,3,6,1,4,7,2,5,10]
[10,7,2,3,4,1,6,5,9,8]=>[8,9,5,6,1,4,3,2,7,10]
[8,1,10,3,4,5,6,7,9,2]=>[2,9,7,6,5,4,3,10,1,8]
[10,7,2,1,4,5,6,3,9,8]=>[8,9,3,6,5,4,1,2,7,10]
[10,1,6,3,2,5,4,7,9,8]=>[8,9,7,4,5,2,3,6,1,10]
[4,1,6,3,10,5,7,8,9,2]=>[2,9,8,7,5,10,3,6,1,4]
[6,1,2,3,10,5,7,8,9,4]=>[4,9,8,7,5,10,3,2,1,6]
[6,1,10,3,4,5,7,8,9,2]=>[2,9,8,7,5,4,3,10,1,6]
[10,5,2,1,4,3,7,8,9,6]=>[6,9,8,7,3,4,1,2,5,10]
[4,1,10,3,5,9,6,8,7,2]=>[2,7,8,6,9,5,3,10,1,4]
[10,1,2,3,5,9,6,8,7,4]=>[4,7,8,6,9,5,3,2,1,10]
[10,1,3,7,4,9,6,8,5,2]=>[2,5,8,6,9,4,7,3,1,10]
[1,5,2,7,4,9,6,8,3,10]=>[10,3,8,6,9,4,7,2,5,1]
[1,7,2,3,4,9,6,8,5,10]=>[10,5,8,6,9,4,3,2,7,1]
[10,1,3,9,4,5,6,8,7,2]=>[2,7,8,6,5,4,9,3,1,10]
[1,7,2,9,4,5,6,8,3,10]=>[10,3,8,6,5,4,9,2,7,1]
[1,9,6,3,2,5,4,8,7,10]=>[10,7,8,4,5,2,3,6,9,1]
[1,9,2,3,4,5,6,8,7,10]=>[10,7,8,6,5,4,3,2,9,1]
[4,1,10,3,5,6,7,8,9,2]=>[2,9,8,7,6,5,3,10,1,4]
[10,1,2,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,2,1,10]
[10,1,3,9,4,6,7,8,5,2]=>[2,5,8,7,6,4,9,3,1,10]
[1,5,2,9,4,6,7,8,3,10]=>[10,3,8,7,6,4,9,2,5,1]
[1,9,2,3,4,6,7,8,5,10]=>[10,5,8,7,6,4,3,2,9,1]
[10,1,3,4,8,5,7,6,9,2]=>[2,9,6,7,5,8,4,3,1,10]
[1,9,2,4,8,5,7,6,3,10]=>[10,3,6,7,5,8,4,2,9,1]
[1,2,6,3,8,5,7,4,9,10]=>[10,9,4,7,5,8,3,6,2,1]
[1,2,8,3,4,5,7,6,9,10]=>[10,9,6,7,5,4,3,8,2,1]
[1,9,2,4,5,6,7,8,3,10]=>[10,3,8,7,6,5,4,2,9,1]
[1,2,8,3,5,6,7,4,9,10]=>[10,9,4,7,6,5,3,8,2,1]
[1,2,3,7,4,6,5,8,9,10]=>[10,9,8,5,6,4,7,3,2,1]
[10,5,9,4,8,3,7,2,1,6]=>[6,1,2,7,3,8,4,9,5,10]
[6,5,10,4,9,3,8,1,2,7]=>[7,2,1,8,3,9,4,10,5,6]
[10,5,6,7,8,3,4,1,2,9]=>[9,2,1,4,3,8,7,6,5,10]
[10,3,6,7,4,5,8,1,2,9]=>[9,2,1,8,5,4,7,6,3,10]
[8,9,6,7,4,5,10,1,2,3]=>[3,2,1,10,5,4,7,6,9,8]
[6,7,8,9,4,5,10,1,2,3]=>[3,2,1,10,5,4,9,8,7,6]
[8,9,4,5,6,7,10,1,2,3]=>[3,2,1,10,7,6,5,4,9,8]
[4,7,8,5,6,9,10,1,2,3]=>[3,2,1,10,9,6,5,8,7,4]
[10,7,8,5,6,1,2,3,4,9]=>[9,4,3,2,1,6,5,8,7,10]
[8,9,10,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,10,9,8]
[8,9,6,7,10,1,2,3,4,5]=>[5,4,3,2,1,10,7,6,9,8]
[10,7,8,1,4,5,2,3,6,9]=>[9,6,3,2,5,4,1,8,7,10]
[8,9,10,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,10,9,8]
[10,1,6,7,4,5,2,3,8,9]=>[9,8,3,2,5,4,7,6,1,10]
[6,7,8,9,4,5,2,3,10,1]=>[1,10,3,2,5,4,9,8,7,6]
[10,1,4,5,6,7,2,3,8,9]=>[9,8,3,2,7,6,5,4,1,10]
[8,9,4,5,6,7,2,3,10,1]=>[1,10,3,2,7,6,5,4,9,8]
[4,7,8,5,6,9,2,3,10,1]=>[1,10,3,2,9,6,5,8,7,4]
[4,5,6,7,8,9,2,3,10,1]=>[1,10,3,2,9,8,7,6,5,4]
[10,1,6,7,2,3,4,5,8,9]=>[9,8,5,4,3,2,7,6,1,10]
[8,9,6,7,2,3,4,5,10,1]=>[1,10,5,4,3,2,7,6,9,8]
[10,1,2,5,6,3,4,7,8,9]=>[9,8,7,4,3,6,5,2,1,10]
[8,9,2,5,6,3,4,7,10,1]=>[1,10,7,4,3,6,5,2,9,8]
[2,7,8,5,6,3,4,9,10,1]=>[1,10,9,4,3,6,5,8,7,2]
[2,5,6,7,8,3,4,9,10,1]=>[1,10,9,4,3,8,7,6,5,2]
[2,7,8,3,4,5,6,9,10,1]=>[1,10,9,6,5,4,3,8,7,2]
[2,3,6,7,4,5,8,9,10,1]=>[1,10,9,8,5,4,7,6,3,2]
[3,1,10,9,8,7,6,5,2,4]=>[4,2,5,6,7,8,9,10,1,3]
[3,10,9,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,9,10,3]
[9,1,10,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,10,1,9]
[10,1,8,2,9,3,7,4,6,5]=>[5,6,4,7,3,9,2,8,1,10]
[9,1,8,2,10,3,7,4,6,5]=>[5,6,4,7,3,10,2,8,1,9]
[8,1,9,2,10,3,7,4,6,5]=>[5,6,4,7,3,10,2,9,1,8]
[10,1,9,2,7,3,8,4,6,5]=>[5,6,4,8,3,7,2,9,1,10]
[9,1,10,2,7,3,8,4,6,5]=>[5,6,4,8,3,7,2,10,1,9]
[10,1,8,2,7,3,9,4,6,5]=>[5,6,4,9,3,7,2,8,1,10]
[9,1,8,2,7,3,10,4,6,5]=>[5,6,4,10,3,7,2,8,1,9]
[8,1,9,2,7,3,10,4,6,5]=>[5,6,4,10,3,7,2,9,1,8]
[10,1,7,2,8,3,9,4,6,5]=>[5,6,4,9,3,8,2,7,1,10]
[9,1,7,2,8,3,10,4,6,5]=>[5,6,4,10,3,8,2,7,1,9]
[8,1,7,2,9,3,10,4,6,5]=>[5,6,4,10,3,9,2,7,1,8]
[7,1,8,2,9,3,10,4,6,5]=>[5,6,4,10,3,9,2,8,1,7]
[10,1,9,2,8,3,6,4,7,5]=>[5,7,4,6,3,8,2,9,1,10]
[9,1,10,2,8,3,6,4,7,5]=>[5,7,4,6,3,8,2,10,1,9]
[10,1,8,2,9,3,6,4,7,5]=>[5,7,4,6,3,9,2,8,1,10]
[9,1,8,2,10,3,6,4,7,5]=>[5,7,4,6,3,10,2,8,1,9]
[8,1,9,2,10,3,6,4,7,5]=>[5,7,4,6,3,10,2,9,1,8]
[10,1,9,2,7,3,6,4,8,5]=>[5,8,4,6,3,7,2,9,1,10]
[9,1,10,2,7,3,6,4,8,5]=>[5,8,4,6,3,7,2,10,1,9]
[10,1,8,2,7,3,6,4,9,5]=>[5,9,4,6,3,7,2,8,1,10]
[8,1,9,2,7,3,6,4,10,5]=>[5,10,4,6,3,7,2,9,1,8]
[10,1,7,2,8,3,6,4,9,5]=>[5,9,4,6,3,8,2,7,1,10]
[9,1,7,2,8,3,6,4,10,5]=>[5,10,4,6,3,8,2,7,1,9]
[8,1,7,2,9,3,6,4,10,5]=>[5,10,4,6,3,9,2,7,1,8]
[7,1,8,2,9,3,6,4,10,5]=>[5,10,4,6,3,9,2,8,1,7]
[10,1,9,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,9,1,10]
[9,1,10,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,10,1,9]
[10,1,8,2,6,3,7,4,9,5]=>[5,9,4,7,3,6,2,8,1,10]
[9,1,8,2,6,3,7,4,10,5]=>[5,10,4,7,3,6,2,8,1,9]
[8,1,9,2,6,3,7,4,10,5]=>[5,10,4,7,3,6,2,9,1,8]
[10,1,7,2,6,3,8,4,9,5]=>[5,9,4,8,3,6,2,7,1,10]
[9,1,7,2,6,3,8,4,10,5]=>[5,10,4,8,3,6,2,7,1,9]
[7,1,8,2,6,3,9,4,10,5]=>[5,10,4,9,3,6,2,8,1,7]
[10,1,6,2,7,3,8,4,9,5]=>[5,9,4,8,3,7,2,6,1,10]
[9,1,6,2,7,3,8,4,10,5]=>[5,10,4,8,3,7,2,6,1,9]
[8,1,6,2,7,3,9,4,10,5]=>[5,10,4,9,3,7,2,6,1,8]
[1,3,4,5,6,7,9,10,2,8]=>[8,2,10,9,7,6,5,4,3,1]
[3,4,1,5,6,7,8,9,2,10]=>[10,2,9,8,7,6,5,1,4,3]
[5,6,9,1,7,3,10,2,8,4]=>[4,8,2,10,3,7,1,9,6,5]
[7,3,5,8,4,6,9,1,10,2]=>[2,10,1,9,6,4,8,5,3,7]
[9,1,5,7,3,10,2,8,4,6]=>[6,4,8,2,10,3,7,5,1,9]
[7,3,8,4,9,1,5,10,2,6]=>[6,2,10,5,1,9,4,8,3,7]
[7,5,3,8,6,4,9,1,10,2]=>[2,10,1,9,4,6,8,3,5,7]
[9,1,7,5,3,10,2,8,6,4]=>[4,6,8,2,10,3,5,7,1,9]
[3,6,4,7,5,8,9,1,10,2]=>[2,10,1,9,8,5,7,4,6,3]
[6,4,7,5,9,1,3,10,2,8]=>[8,2,10,3,1,9,5,7,4,6]
[9,1,3,7,5,10,2,6,4,8]=>[8,4,6,2,10,5,7,3,1,9]
[4,5,6,7,9,1,3,10,2,8]=>[8,2,10,3,1,9,7,6,5,4]
[5,6,9,1,3,7,10,2,4,8]=>[8,4,2,10,7,3,1,9,6,5]
[7,1,5,8,2,9,3,10,4,6]=>[6,4,10,3,9,2,8,5,1,7]
[9,3,7,1,5,10,4,8,2,6]=>[6,2,8,4,10,5,1,7,3,9]
[9,3,7,5,1,10,6,4,8,2]=>[2,8,4,6,10,1,5,7,3,9]
[7,5,1,8,2,9,3,10,6,4]=>[4,6,10,3,9,2,8,1,5,7]
[6,4,7,5,9,3,1,10,8,2]=>[2,8,10,1,3,9,5,7,4,6]
[1,6,4,7,5,8,2,9,3,10]=>[10,3,9,2,8,5,7,4,6,1]
[1,8,2,6,4,9,3,7,5,10]=>[10,5,7,3,9,4,6,2,8,1]
[4,5,6,7,9,3,1,10,8,2]=>[2,8,10,1,3,9,7,6,5,4]
[1,4,5,6,7,8,2,9,3,10]=>[10,3,9,2,8,7,6,5,4,1]
[1,5,6,8,2,4,9,3,7,10]=>[10,7,3,9,4,2,8,6,5,1]
[1,8,2,4,6,9,3,5,7,10]=>[10,7,5,3,9,6,4,2,8,1]
[9,5,7,3,1,10,8,4,6,2]=>[2,6,4,8,10,1,3,7,5,9]
[1,8,4,6,2,9,5,7,3,10]=>[10,3,7,5,9,2,6,4,8,1]
[1,5,6,8,4,2,9,7,3,10]=>[10,3,7,9,2,4,8,6,5,1]
[1,2,5,6,7,3,8,4,9,10]=>[10,9,4,8,3,7,6,5,2,1]
[1,2,7,3,5,8,4,6,9,10]=>[10,9,6,4,8,5,3,7,2,1]
[1,2,7,5,3,8,6,4,9,10]=>[10,9,4,6,8,3,5,7,2,1]
[1,2,3,6,4,7,5,8,9,10]=>[10,9,8,5,7,4,6,3,2,1]
[9,1,2,3,4,5,6,8,10,7]=>[7,10,8,6,5,4,3,2,1,9]
[5,3,6,7,8,9,10,1,4,2]=>[2,4,1,10,9,8,7,6,3,5]
[5,3,6,7,8,9,10,2,4,1]=>[1,4,2,10,9,8,7,6,3,5]
[6,3,7,8,9,10,1,4,5,2]=>[2,5,4,1,10,9,8,7,3,6]
[6,3,7,8,9,10,2,4,5,1]=>[1,5,4,2,10,9,8,7,3,6]
[6,4,7,8,9,10,2,5,1,3]=>[3,1,5,2,10,9,8,7,4,6]
[6,4,7,8,9,10,3,5,2,1]=>[1,2,5,3,10,9,8,7,4,6]
[7,3,8,9,10,1,4,5,6,2]=>[2,6,5,4,1,10,9,8,3,7]
[7,4,8,9,10,1,5,6,2,3]=>[3,2,6,5,1,10,9,8,4,7]
[7,4,8,9,10,3,5,6,2,1]=>[1,2,6,5,3,10,9,8,4,7]
[7,5,8,9,10,3,6,1,4,2]=>[2,4,1,6,3,10,9,8,5,7]
[7,5,8,9,10,3,6,2,4,1]=>[1,4,2,6,3,10,9,8,5,7]
[7,6,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,6,7]
[8,5,9,10,3,6,7,1,4,2]=>[2,4,1,7,6,3,10,9,5,8]
[8,5,9,10,3,6,7,2,4,1]=>[1,4,2,7,6,3,10,9,5,8]
[8,5,9,10,4,6,7,3,2,1]=>[1,2,3,7,6,4,10,9,5,8]
[8,6,9,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,9,6,8]
[8,6,9,10,4,7,3,5,2,1]=>[1,2,5,3,7,4,10,9,6,8]
[8,6,9,10,5,7,4,3,2,1]=>[1,2,3,4,7,5,10,9,6,8]
[9,7,10,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,10,7,9]
[10,1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1,10]
[3,10,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,10,3]
[4,10,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,10,4]
[2,4,10,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,10,4,2]
[5,10,2,3,4,6,7,8,9,1]=>[1,9,8,7,6,4,3,2,10,5]
[5,1,10,3,4,6,7,8,9,2]=>[2,9,8,7,6,4,3,10,1,5]
[2,5,10,3,4,6,7,8,9,1]=>[1,9,8,7,6,4,3,10,5,2]
[3,5,2,10,4,6,7,8,9,1]=>[1,9,8,7,6,4,10,2,5,3]
[2,3,5,10,4,6,7,8,9,1]=>[1,9,8,7,6,4,10,5,3,2]
[2,6,10,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,10,6,2]
[6,1,2,10,4,5,7,8,9,3]=>[3,9,8,7,5,4,10,2,1,6]
[3,6,2,10,4,5,7,8,9,1]=>[1,9,8,7,5,4,10,2,6,3]
[2,3,6,10,4,5,7,8,9,1]=>[1,9,8,7,5,4,10,6,3,2]
[2,4,6,3,10,5,7,8,9,1]=>[1,9,8,7,5,10,3,6,4,2]
[2,3,4,6,10,5,7,8,9,1]=>[1,9,8,7,5,10,6,4,3,2]
[4,7,2,3,10,5,6,8,9,1]=>[1,9,8,6,5,10,3,2,7,4]
[4,1,7,3,10,5,6,8,9,2]=>[2,9,8,6,5,10,3,7,1,4]
[2,4,7,3,10,5,6,8,9,1]=>[1,9,8,6,5,10,3,7,4,2]
[2,3,4,7,10,5,6,8,9,1]=>[1,9,8,6,5,10,7,4,3,2]
[3,5,2,7,4,10,6,8,9,1]=>[1,9,8,6,10,4,7,2,5,3]
[2,3,5,7,4,10,6,8,9,1]=>[1,9,8,6,10,4,7,5,3,2]
[2,3,4,5,7,10,6,8,9,1]=>[1,9,8,6,10,7,5,4,3,2]
[2,4,6,3,8,5,10,7,9,1]=>[1,9,7,10,5,8,3,6,4,2]
[2,3,4,6,8,5,10,7,9,1]=>[1,9,7,10,5,8,6,4,3,2]
[9,10,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,10,9]
[7,1,6,8,9,10,2,3,4,5]=>[5,4,3,2,10,9,8,6,1,7]
[6,2,7,8,9,10,1,3,5,4]=>[4,5,3,1,10,9,8,7,2,6]
[2,6,1,7,8,9,3,4,5,10]=>[10,5,4,3,9,8,7,1,6,2]
[2,6,3,7,8,9,1,4,5,10]=>[10,5,4,1,9,8,7,3,6,2]
[3,6,2,7,8,10,1,4,9,5]=>[5,9,4,1,10,8,7,2,6,3]
[2,7,6,3,9,10,1,4,8,5]=>[5,8,4,1,10,9,3,6,7,2]
[2,7,4,6,9,10,1,8,5,3]=>[3,5,8,1,10,9,6,4,7,2]
[6,3,1,7,8,10,2,4,5,9]=>[9,5,4,2,10,8,7,1,3,6]
[2,1,9,3,4,10,5,8,6,7]=>[7,6,8,5,10,4,3,9,1,2]
[1,10,3,2,8,4,5,9,6,7]=>[7,6,9,5,4,8,2,3,10,1]
[3,1,9,2,8,4,5,10,6,7]=>[7,6,10,5,4,8,2,9,1,3]
[2,1,3,4,9,5,6,10,7,8]=>[8,7,10,6,5,9,4,3,1,2]
[2,1,9,3,4,5,6,10,7,8]=>[8,7,10,6,5,4,3,9,1,2]
[2,3,1,8,4,5,6,10,7,9]=>[9,7,10,6,5,4,8,1,3,2]
[2,1,9,3,4,10,5,6,7,8]=>[8,7,6,5,10,4,3,9,1,2]
[1,10,2,9,4,3,7,5,6,8]=>[8,6,5,7,3,4,9,2,10,1]
[1,2,3,10,5,4,8,6,7,9]=>[9,7,6,8,4,5,10,3,2,1]
[1,10,4,2,8,3,7,5,6,9]=>[9,6,5,7,3,8,2,4,10,1]
[4,1,9,2,8,3,7,5,6,10]=>[10,6,5,7,3,8,2,9,1,4]
[3,1,2,4,9,5,8,6,7,10]=>[10,7,6,8,5,9,4,2,1,3]
[1,10,3,2,4,5,8,6,7,9]=>[9,7,6,8,5,4,2,3,10,1]
[3,1,9,2,4,5,8,6,7,10]=>[10,7,6,8,5,4,2,9,1,3]
[3,2,1,8,4,5,9,6,7,10]=>[10,7,6,9,5,4,8,1,2,3]
[2,1,3,4,5,6,9,7,8,10]=>[10,8,7,9,6,5,4,3,1,2]
[1,10,3,2,8,4,5,6,7,9]=>[9,7,6,5,4,8,2,3,10,1]
[3,1,9,2,8,4,5,6,7,10]=>[10,7,6,5,4,8,2,9,1,3]
[2,1,3,4,9,5,6,7,8,10]=>[10,8,7,6,5,9,4,3,1,2]
[1,10,3,4,2,7,5,6,8,9]=>[9,8,6,5,7,2,4,3,10,1]
[3,1,9,4,2,7,5,6,8,10]=>[10,8,6,5,7,2,4,9,1,3]
[3,4,1,8,2,7,5,6,9,10]=>[10,9,6,5,7,2,8,1,4,3]
[2,3,1,4,5,8,6,7,9,10]=>[10,9,7,6,8,5,4,1,3,2]
[2,1,9,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,9,1,2]
[2,3,1,8,4,5,6,7,9,10]=>[10,9,7,6,5,4,8,1,3,2]
[2,3,4,1,7,5,6,8,9,10]=>[10,9,8,6,5,7,1,4,3,2]
[5,6,4,7,3,10,9,1,8,2]=>[2,8,1,9,10,3,7,4,6,5]
[1,5,6,4,7,3,9,10,2,8]=>[8,2,10,9,3,7,4,6,5,1]
[5,6,4,7,3,10,2,1,9,8]=>[8,9,1,2,10,3,7,4,6,5]
[5,6,4,9,10,2,8,1,3,7]=>[7,3,1,8,2,10,9,4,6,5]
[5,6,4,9,10,7,3,1,8,2]=>[2,8,1,3,7,10,9,4,6,5]
[5,6,4,7,3,10,8,9,1,2]=>[2,1,9,8,10,3,7,4,6,5]
[9,1,2,5,3,4,6,7,8,10]=>[10,8,7,6,4,3,5,2,1,9]
[4,1,6,3,9,5,7,8,10,2]=>[2,10,8,7,5,9,3,6,1,4]
[4,1,7,3,8,5,10,6,9,2]=>[2,9,6,10,5,8,3,7,1,4]
[4,1,7,3,5,9,10,8,6,2]=>[2,6,8,10,9,5,3,7,1,4]
[4,1,8,3,5,6,7,9,10,2]=>[2,10,9,7,6,5,3,8,1,4]
[5,1,6,3,8,4,10,7,9,2]=>[2,9,7,10,4,8,3,6,1,5]
[5,1,6,3,9,4,7,8,10,2]=>[2,10,8,7,4,9,3,6,1,5]
[5,1,7,8,10,3,6,4,9,2]=>[2,9,4,6,3,10,8,7,1,5]
[5,1,3,7,9,10,6,8,4,2]=>[2,4,8,6,10,9,7,3,1,5]
[5,1,3,8,9,6,7,4,10,2]=>[2,10,4,7,6,9,8,3,1,5]
[6,1,7,3,4,8,10,5,9,2]=>[2,9,5,10,8,4,3,7,1,6]
[6,1,3,7,4,9,10,8,5,2]=>[2,5,8,10,9,4,7,3,1,6]
[6,1,3,4,8,9,7,10,5,2]=>[2,5,10,7,9,8,4,3,1,6]
[7,1,3,4,5,6,8,9,10,2]=>[2,10,9,8,6,5,4,3,1,7]
[4,1,6,2,8,5,10,7,9,3]=>[3,9,7,10,5,8,2,6,1,4]
[4,1,6,2,9,5,7,8,10,3]=>[3,10,8,7,5,9,2,6,1,4]
[4,1,7,2,8,5,10,6,9,3]=>[3,9,6,10,5,8,2,7,1,4]
[4,1,7,2,5,9,10,8,6,3]=>[3,6,8,10,9,5,2,7,1,4]
[4,1,8,2,5,6,7,9,10,3]=>[3,10,9,7,6,5,2,8,1,4]
[5,6,8,1,4,2,10,7,9,3]=>[3,9,7,10,2,4,1,8,6,5]
[5,6,9,1,4,2,7,8,10,3]=>[3,10,8,7,2,4,1,9,6,5]
[5,7,8,10,1,4,6,2,9,3]=>[3,9,2,6,4,1,10,8,7,5]
[1,5,7,9,4,10,6,8,2,3]=>[3,2,8,6,10,4,9,7,5,1]
[1,5,8,9,4,6,7,2,10,3]=>[3,10,2,7,6,4,9,8,5,1]
[6,7,8,1,4,5,10,2,9,3]=>[3,9,2,10,5,4,1,8,7,6]
[1,6,7,9,4,5,10,8,2,3]=>[3,2,8,10,5,4,9,7,6,1]
[1,6,8,4,9,5,7,10,2,3]=>[3,2,10,7,5,9,4,8,6,1]
[1,7,8,4,5,6,2,9,10,3]=>[3,10,9,2,6,5,4,8,7,1]
[5,1,2,6,8,3,10,7,9,4]=>[4,9,7,10,3,8,6,2,1,5]
[5,1,2,6,9,3,7,8,10,4]=>[4,10,8,7,3,9,6,2,1,5]
[5,7,1,8,10,2,6,3,9,4]=>[4,9,3,6,2,10,8,1,7,5]
[1,5,2,7,9,10,6,8,3,4]=>[4,3,8,6,10,9,7,2,5,1]
[1,5,2,8,9,6,7,3,10,4]=>[4,10,3,7,6,9,8,2,5,1]
[6,1,7,8,2,10,5,3,9,4]=>[4,9,3,5,10,2,8,7,1,6]
[1,6,7,9,2,10,5,8,3,4]=>[4,3,8,5,10,2,9,7,6,1]
[1,2,6,8,9,10,7,5,3,4]=>[4,3,5,7,10,9,8,6,2,1]
[1,2,7,8,5,6,9,3,10,4]=>[4,10,3,9,6,5,8,7,2,1]
[6,1,2,3,7,8,10,4,9,5]=>[5,9,4,10,8,7,3,2,1,6]
[1,6,2,3,7,9,10,8,4,5]=>[5,4,8,10,9,7,3,2,6,1]
[1,2,6,3,8,9,7,10,4,5]=>[5,4,10,7,9,8,3,6,2,1]
[1,2,3,7,8,6,9,10,4,5]=>[5,4,10,9,6,8,7,3,2,1]
[5,4,7,3,8,6,9,2,10,1]=>[1,10,2,9,6,8,3,7,4,5]
[5,4,7,3,8,2,9,6,10,1]=>[1,10,6,9,2,8,3,7,4,5]
[5,4,7,3,8,2,9,1,10,6]=>[6,10,1,9,2,8,3,7,4,5]
[5,4,1,2,6,7,8,9,10,3]=>[3,10,9,8,7,6,2,1,4,5]
[2,5,4,1,6,7,8,9,10,3]=>[3,10,9,8,7,6,1,4,5,2]
[6,3,1,5,2,7,8,9,10,4]=>[4,10,9,8,7,2,5,1,3,6]
[7,4,1,2,6,3,8,9,10,5]=>[5,10,9,8,3,6,2,1,4,7]
[5,8,1,2,3,7,4,9,10,6]=>[6,10,9,4,7,3,2,1,8,5]
[9,6,1,2,3,4,8,5,10,7]=>[7,10,5,8,4,3,2,1,6,9]
[4,3,5,6,7,8,10,9,2,1]=>[1,2,9,10,8,7,6,5,3,4]
[4,5,6,7,10,8,9,2,1,3]=>[3,1,2,9,8,10,7,6,5,4]
[5,6,7,8,9,10,1,4,2,3]=>[3,2,4,1,10,9,8,7,6,5]
[7,8,9,10,1,5,6,2,3,4]=>[4,3,2,6,5,1,10,9,8,7]
[7,8,9,10,1,6,2,5,3,4]=>[4,3,5,2,6,1,10,9,8,7]
[8,9,10,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,10,9,8]
[8,9,10,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,10,9,8]
[8,9,10,1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1,10,9,8]
[8,9,10,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,10,9,8]
[8,9,10,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,10,9,8]
[8,9,10,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,10,9,8]
[8,9,10,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,10,9,8]
[9,10,1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1,10,9]
[9,10,1,7,8,2,6,3,5,4]=>[4,5,3,6,2,8,7,1,10,9]
[9,10,1,7,8,2,6,3,4,5]=>[5,4,3,6,2,8,7,1,10,9]
[9,10,1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1,10,9]
[9,10,1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1,10,9]
[9,10,1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1,10,9]
[9,10,1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1,10,9]
[1,2,3,4,6,5,7,10,8,9]=>[9,8,10,7,5,6,4,3,2,1]
[1,2,3,4,7,10,5,6,8,9]=>[9,8,6,5,10,7,4,3,2,1]
[1,2,4,6,3,5,7,10,8,9]=>[9,8,10,7,5,3,6,4,2,1]
[1,2,4,7,10,5,6,3,8,9]=>[9,8,3,6,5,10,7,4,2,1]
[1,2,5,6,3,4,7,10,8,9]=>[9,8,10,7,4,3,6,5,2,1]
[1,2,4,8,9,6,3,5,7,10]=>[10,7,5,3,6,9,8,4,2,1]
[1,2,5,7,10,3,4,8,9,6]=>[6,9,8,4,3,10,7,5,2,1]
[1,2,5,6,4,7,10,3,8,9]=>[9,8,3,10,7,4,6,5,2,1]
[1,3,2,4,6,5,7,10,8,9]=>[9,8,10,7,5,6,4,2,3,1]
[1,3,2,4,7,10,5,6,8,9]=>[9,8,6,5,10,7,4,2,3,1]
[1,3,2,5,6,4,7,10,8,9]=>[9,8,10,7,4,6,5,2,3,1]
[1,4,7,10,2,5,6,3,8,9]=>[9,8,3,6,5,2,10,7,4,1]
[1,3,2,4,8,9,6,5,7,10]=>[10,7,5,6,9,8,4,2,3,1]
[1,3,2,5,7,10,4,8,9,6]=>[6,9,8,4,10,7,5,2,3,1]
[1,4,8,9,6,2,5,7,10,3]=>[3,10,7,5,2,6,9,8,4,1]
[1,2,5,4,6,3,7,10,8,9]=>[9,8,10,7,3,6,4,5,2,1]
[1,2,5,4,7,10,6,3,8,9]=>[9,8,3,6,10,7,4,5,2,1]
[1,2,6,4,7,10,3,5,8,9]=>[9,8,5,3,10,7,4,6,2,1]
[1,2,5,4,8,9,7,10,6,3]=>[3,6,10,7,9,8,4,5,2,1]
[1,2,6,4,8,9,7,10,3,5]=>[5,3,10,7,9,8,4,6,2,1]
[1,3,2,5,4,6,7,10,8,9]=>[9,8,10,7,6,4,5,2,3,1]
[1,3,2,5,4,7,10,6,8,9]=>[9,8,6,10,7,4,5,2,3,1]
[1,3,2,6,4,7,10,5,8,9]=>[9,8,5,10,7,4,6,2,3,1]
[1,4,7,10,2,6,3,5,8,9]=>[9,8,5,3,6,2,10,7,4,1]
[1,3,2,6,4,8,9,7,10,5]=>[5,10,7,9,8,4,6,2,3,1]
[1,4,8,9,7,10,2,6,3,5]=>[5,3,6,2,10,7,9,8,4,1]
[1,3,2,7,10,4,8,9,5,6]=>[6,5,9,8,4,10,7,2,3,1]
[1,4,8,9,5,6,2,7,10,3]=>[3,10,7,2,6,5,9,8,4,1]
[1,2,5,4,9,7,10,6,3,8]=>[8,3,6,10,7,9,4,5,2,1]
[1,2,6,4,9,7,10,3,5,8]=>[8,5,3,10,7,9,4,6,2,1]
[1,3,2,5,4,9,7,10,6,8]=>[8,6,10,7,9,4,5,2,3,1]
[1,3,2,6,4,9,7,10,5,8]=>[8,5,10,7,9,4,6,2,3,1]
[1,4,9,7,10,2,6,3,5,8]=>[8,5,3,6,2,10,7,9,4,1]
[1,3,2,7,10,4,9,5,6,8]=>[8,6,5,9,4,10,7,2,3,1]
[1,4,9,5,6,2,7,10,3,8]=>[8,3,10,7,2,6,5,9,4,1]
[8,2,9,3,10,1,7,6,5,4]=>[4,5,6,7,1,10,3,9,2,8]
[4,5,6,8,2,9,3,10,1,7]=>[7,1,10,3,9,2,8,6,5,4]
[10,1,7,2,8,3,9,6,5,4]=>[4,5,6,9,3,8,2,7,1,10]
[4,5,10,1,7,2,8,3,9,6]=>[6,9,3,8,2,7,1,10,5,4]
[4,5,8,6,2,10,1,7,3,9]=>[9,3,7,1,10,2,6,8,5,4]
[10,1,7,2,8,3,4,5,9,6]=>[6,9,5,4,3,8,2,7,1,10]
[8,6,2,10,1,7,3,4,5,9]=>[9,5,4,3,7,1,10,2,6,8]
[8,2,10,3,9,1,7,6,5,4]=>[4,5,6,7,1,9,3,10,2,8]
[4,5,6,8,2,10,3,9,1,7]=>[7,1,9,3,10,2,8,6,5,4]
[10,3,9,1,7,2,8,6,5,4]=>[4,5,6,8,2,7,1,9,3,10]
[4,5,10,3,9,1,7,2,8,6]=>[6,8,2,7,1,9,3,10,5,4]
[4,5,10,3,9,1,7,6,2,8]=>[8,2,6,7,1,9,3,10,5,4]
[10,3,4,5,9,1,7,2,8,6]=>[6,8,2,7,1,9,5,4,3,10]
[10,3,4,5,9,1,7,6,2,8]=>[8,2,6,7,1,9,5,4,3,10]
[8,1,7,2,9,3,10,6,5,4]=>[4,5,6,10,3,9,2,7,1,8]
[4,5,8,1,7,2,9,3,10,6]=>[6,10,3,9,2,7,1,8,5,4]
[4,5,9,3,10,6,2,8,1,7]=>[7,1,8,2,6,10,3,9,5,4]
[4,5,7,1,9,6,2,8,3,10]=>[10,3,8,2,6,9,1,7,5,4]
[8,1,7,2,9,3,4,5,10,6]=>[6,10,5,4,3,9,2,7,1,8]
[9,3,4,5,10,6,2,8,1,7]=>[7,1,8,2,6,10,5,4,3,9]
[7,1,9,6,2,8,3,4,5,10]=>[10,5,4,3,8,2,6,9,1,7]
[8,6,2,10,3,9,1,7,5,4]=>[4,5,7,1,9,3,10,2,6,8]
[4,8,6,2,10,3,9,1,7,5]=>[5,7,1,9,3,10,2,6,8,4]
[4,10,3,9,1,7,6,5,2,8]=>[8,2,5,6,7,1,9,3,10,4]
[8,6,2,10,3,4,9,1,7,5]=>[5,7,1,9,4,3,10,2,6,8]
[10,3,4,9,1,7,6,5,2,8]=>[8,2,5,6,7,1,9,4,3,10]
[9,3,10,6,2,8,1,7,5,4]=>[4,5,7,1,8,2,6,10,3,9]
[4,9,3,10,6,2,8,1,7,5]=>[5,7,1,8,2,6,10,3,9,4]
[4,9,3,10,6,5,2,8,1,7]=>[7,1,8,2,5,6,10,3,9,4]
[4,7,1,9,6,5,2,8,3,10]=>[10,3,8,2,5,6,9,1,7,4]
[9,3,4,10,6,2,8,1,7,5]=>[5,7,1,8,2,6,10,4,3,9]
[9,3,4,10,6,5,2,8,1,7]=>[7,1,8,2,5,6,10,4,3,9]
[7,1,9,6,5,2,8,3,4,10]=>[10,4,3,8,2,5,6,9,1,7]
[5,10,6,9,3,4,2,8,1,7]=>[7,1,8,2,4,3,9,6,10,5]
[5,7,1,8,3,4,2,9,6,10]=>[10,6,9,2,4,3,8,1,7,5]
[10,3,8,6,2,4,9,1,7,5]=>[5,7,1,9,4,2,6,8,3,10]
[9,1,7,6,5,2,4,10,3,8]=>[8,3,10,4,2,5,6,7,1,9]
[10,6,2,4,9,3,8,1,7,5]=>[5,7,1,8,3,9,4,2,6,10]
[10,6,5,2,4,9,3,8,1,7]=>[7,1,8,3,9,4,2,5,6,10]
[7,1,8,3,9,6,5,2,4,10]=>[10,4,2,5,6,9,3,8,1,7]
[4,2,5,10,6,9,3,8,1,7]=>[7,1,8,3,9,6,10,5,2,4]
[9,8,6,4,2,10,7,5,3,1]=>[1,3,5,7,10,2,4,6,8,9]
[10,1,9,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,9,1,10]
[10,1,9,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,9,1,10]
[10,1,9,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,9,1,10]
[10,1,9,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,9,1,10]
[10,1,8,7,9,2,6,3,5,4]=>[4,5,3,6,2,9,7,8,1,10]
[10,1,8,7,9,2,5,4,6,3]=>[3,6,4,5,2,9,7,8,1,10]
[10,1,8,6,9,5,7,2,4,3]=>[3,4,2,7,5,9,6,8,1,10]
[10,1,8,6,9,4,7,3,5,2]=>[2,5,3,7,4,9,6,8,1,10]
[10,1,8,5,9,4,3,6,7,2]=>[2,7,6,3,4,9,5,8,1,10]
[10,1,7,6,5,8,9,2,4,3]=>[3,4,2,9,8,5,6,7,1,10]
[10,1,7,6,4,8,9,3,5,2]=>[2,5,3,9,8,4,6,7,1,10]
[10,1,7,5,4,8,3,6,9,2]=>[2,9,6,3,8,4,5,7,1,10]
[10,1,6,5,4,3,7,8,9,2]=>[2,9,8,7,3,4,5,6,1,10]
[9,8,10,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,10,8,9]
[9,8,10,1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1,10,8,9]
[9,8,10,1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1,10,8,9]
[9,8,10,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,10,8,9]
[9,8,10,1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1,10,8,9]
[9,7,10,6,8,1,5,2,4,3]=>[3,4,2,5,1,8,6,10,7,9]
[9,7,10,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,10,7,9]
[9,7,10,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,10,7,9]
[9,7,10,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,10,7,9]
[9,6,10,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,10,6,9]
[9,6,10,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,10,6,9]
[9,6,10,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,10,6,9]
[9,5,10,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,10,5,9]
[8,7,6,9,10,1,5,2,4,3]=>[3,4,2,5,1,10,9,6,7,8]
[8,7,6,9,10,1,4,3,5,2]=>[2,5,3,4,1,10,9,6,7,8]
[8,7,5,9,10,4,6,1,3,2]=>[2,3,1,6,4,10,9,5,7,8]
[8,7,5,9,10,3,6,2,4,1]=>[1,4,2,6,3,10,9,5,7,8]
[8,7,4,9,10,3,2,5,6,1]=>[1,6,5,2,3,10,9,4,7,8]
[8,6,5,9,4,7,10,1,3,2]=>[2,3,1,10,7,4,9,5,6,8]
[8,6,5,9,3,7,10,2,4,1]=>[1,4,2,10,7,3,9,5,6,8]
[8,5,4,9,3,2,6,7,10,1]=>[1,10,7,6,2,3,9,4,5,8]
[7,6,5,4,8,9,10,1,3,2]=>[2,3,1,10,9,8,4,5,6,7]
[7,6,5,3,8,9,10,2,4,1]=>[1,4,2,10,9,8,3,5,6,7]
[7,6,4,3,8,9,2,5,10,1]=>[1,10,5,2,9,8,3,4,6,7]
[2,5,6,7,8,9,10,3,4,1]=>[1,4,3,10,9,8,7,6,5,2]
[6,7,5,8,4,9,2,1,10,3]=>[3,10,1,2,9,4,8,5,7,6]
[6,7,5,8,4,10,3,9,1,2]=>[2,1,9,3,10,4,8,5,7,6]
[6,5,7,4,8,3,1,10,9,2]=>[2,9,10,1,3,8,4,7,5,6]
[6,5,7,4,2,9,8,3,10,1]=>[1,10,3,8,9,2,4,7,5,6]
[6,5,7,4,8,1,3,10,9,2]=>[2,9,10,3,1,8,4,7,5,6]
[6,5,7,4,1,2,10,9,8,3]=>[3,8,9,10,2,1,4,7,5,6]
[6,5,3,8,7,4,9,2,10,1]=>[1,10,2,9,4,7,8,3,5,6]
[6,5,3,8,7,4,1,10,9,2]=>[2,9,10,1,4,7,8,3,5,6]
[6,5,7,2,4,9,8,3,10,1]=>[1,10,3,8,9,4,2,7,5,6]
[6,5,7,8,2,1,4,10,9,3]=>[3,9,10,4,1,2,8,7,5,6]
[6,5,7,1,4,2,10,9,8,3]=>[3,8,9,10,2,4,1,7,5,6]
[6,5,2,3,9,8,7,4,10,1]=>[1,10,4,7,8,9,3,2,5,6]
[6,5,2,8,1,9,4,10,7,3]=>[3,7,10,4,9,1,8,2,5,6]
[6,5,7,1,2,4,10,9,8,3]=>[3,8,9,10,4,2,1,7,5,6]
[6,5,1,2,3,10,9,8,7,4]=>[4,7,8,9,10,3,2,1,5,6]
[4,7,6,5,8,3,9,2,10,1]=>[1,10,2,9,3,8,5,6,7,4]
[4,7,6,5,8,3,1,10,9,2]=>[2,9,10,1,3,8,5,6,7,4]
[4,7,6,5,2,9,8,3,10,1]=>[1,10,3,8,9,2,5,6,7,4]
[4,7,6,5,8,1,3,10,9,2]=>[2,9,10,3,1,8,5,6,7,4]
[4,7,6,5,1,2,10,9,8,3]=>[3,8,9,10,2,1,5,6,7,4]
[6,3,5,8,7,4,9,2,10,1]=>[1,10,2,9,4,7,8,5,3,6]
[6,3,5,8,7,4,1,10,9,2]=>[2,9,10,1,4,7,8,5,3,6]
[6,7,3,2,5,9,8,4,10,1]=>[1,10,4,8,9,5,2,3,7,6]
[6,7,3,8,2,1,5,10,9,4]=>[4,9,10,5,1,2,8,3,7,6]
[6,7,3,1,5,2,10,9,8,4]=>[4,8,9,10,2,5,1,3,7,6]
[6,2,5,3,9,8,7,4,10,1]=>[1,10,4,7,8,9,3,5,2,6]
[6,2,5,8,1,9,4,10,7,3]=>[3,7,10,4,9,1,8,5,2,6]
[6,7,3,1,2,5,10,9,8,4]=>[4,8,9,10,5,2,1,3,7,6]
[6,1,5,2,3,10,9,8,7,4]=>[4,7,8,9,10,3,2,5,1,6]
[3,4,8,7,6,5,9,2,10,1]=>[1,10,2,9,5,6,7,8,4,3]
[3,4,8,7,6,5,1,10,9,2]=>[2,9,10,1,5,6,7,8,4,3]
[3,7,2,8,5,9,6,4,10,1]=>[1,10,4,6,9,5,8,2,7,3]
[3,7,8,5,2,1,6,10,9,4]=>[4,9,10,6,1,2,5,8,7,3]
[3,7,1,8,5,2,10,9,6,4]=>[4,6,9,10,2,5,8,1,7,3]
[6,2,3,5,9,8,7,4,10,1]=>[1,10,4,7,8,9,5,3,2,6]
[6,2,8,3,1,9,5,10,7,4]=>[4,7,10,5,9,1,3,8,2,6]
[6,7,1,3,2,5,10,9,8,4]=>[4,8,9,10,5,2,3,1,7,6]
[6,1,2,5,3,10,9,8,7,4]=>[4,7,8,9,10,3,5,2,1,6]
[2,3,4,9,8,7,6,5,10,1]=>[1,10,5,6,7,8,9,4,3,2]
[2,3,8,1,9,7,5,10,6,4]=>[4,6,10,5,7,9,1,8,3,2]
[2,7,1,3,9,5,10,8,6,4]=>[4,6,8,10,5,9,3,1,7,2]
[6,1,2,3,5,10,9,8,7,4]=>[4,7,8,9,10,5,3,2,1,6]
[2,3,4,5,6,9,8,10,1,7]=>[7,1,10,8,9,6,5,4,3,2]
[2,3,4,5,9,7,8,10,1,6]=>[6,1,10,8,7,9,5,4,3,2]
[2,3,9,5,6,7,8,10,1,4]=>[4,1,10,8,7,6,5,9,3,2]
[2,9,4,5,6,7,8,10,1,3]=>[3,1,10,8,7,6,5,4,9,2]
[4,10,9,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,9,10,4]
[5,10,9,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,9,10,5]
[6,10,9,8,7,3,5,4,1,2]=>[2,1,4,5,3,7,8,9,10,6]
[6,10,9,8,7,3,5,4,2,1]=>[1,2,4,5,3,7,8,9,10,6]
[6,10,9,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,9,10,6]
[7,10,9,8,3,6,5,4,2,1]=>[1,2,4,5,6,3,8,9,10,7]
[7,10,9,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,9,10,7]
[7,10,9,8,4,6,5,2,3,1]=>[1,3,2,5,6,4,8,9,10,7]
[7,10,9,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,9,10,7]
[8,10,9,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,9,10,8]
[8,10,9,5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5,9,10,8]
[8,10,9,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,9,10,8]
[8,10,9,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,9,10,8]
[8,10,9,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,9,10,8]
[3,4,5,6,7,8,2,10,1,9]=>[9,1,10,2,8,7,6,5,4,3]
[1,2,3,4,7,5,6,8,9,10]=>[10,9,8,6,5,7,4,3,2,1]
[10,7,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7,10]
[3,2,6,5,8,7,9,10,4,1]=>[1,4,10,9,7,8,5,6,2,3]
[3,2,6,5,8,9,7,4,10,1]=>[1,10,4,7,9,8,5,6,2,3]
[3,2,6,5,8,9,7,10,4,1]=>[1,4,10,7,9,8,5,6,2,3]
[3,2,6,5,8,9,10,7,4,1]=>[1,4,7,10,9,8,5,6,2,3]
[3,2,5,8,7,6,9,4,10,1]=>[1,10,4,9,6,7,8,5,2,3]
[3,2,5,8,7,6,9,10,4,1]=>[1,4,10,9,6,7,8,5,2,3]
[3,2,5,8,7,9,6,4,10,1]=>[1,10,4,6,9,7,8,5,2,3]
[3,2,5,8,7,9,6,10,4,1]=>[1,4,10,6,9,7,8,5,2,3]
[3,2,5,8,7,9,10,6,4,1]=>[1,4,6,10,9,7,8,5,2,3]
[3,2,5,7,9,8,6,4,10,1]=>[1,10,4,6,8,9,7,5,2,3]
[3,2,5,7,9,8,6,10,4,1]=>[1,4,10,6,8,9,7,5,2,3]
[3,2,5,7,9,8,10,6,4,1]=>[1,4,6,10,8,9,7,5,2,3]
[3,2,5,7,9,10,8,6,4,1]=>[1,4,6,8,10,9,7,5,2,3]
[2,6,5,4,8,7,9,3,10,1]=>[1,10,3,9,7,8,4,5,6,2]
[2,6,5,4,8,7,9,10,3,1]=>[1,3,10,9,7,8,4,5,6,2]
[2,6,5,4,8,9,7,3,10,1]=>[1,10,3,7,9,8,4,5,6,2]
[2,6,5,4,8,9,7,10,3,1]=>[1,3,10,7,9,8,4,5,6,2]
[2,6,5,4,8,9,10,7,3,1]=>[1,3,7,10,9,8,4,5,6,2]
[2,5,4,8,7,6,9,3,10,1]=>[1,10,3,9,6,7,8,4,5,2]
[2,5,4,8,7,6,9,10,3,1]=>[1,3,10,9,6,7,8,4,5,2]
[2,5,4,8,7,9,6,3,10,1]=>[1,10,3,6,9,7,8,4,5,2]
[2,5,4,8,7,9,6,10,3,1]=>[1,3,10,6,9,7,8,4,5,2]
[2,5,4,8,7,9,10,6,3,1]=>[1,3,6,10,9,7,8,4,5,2]
[2,5,4,7,9,8,6,3,10,1]=>[1,10,3,6,8,9,7,4,5,2]
[2,5,4,7,9,8,6,10,3,1]=>[1,3,10,6,8,9,7,4,5,2]
[2,5,4,7,9,8,10,6,3,1]=>[1,3,6,10,8,9,7,4,5,2]
[2,5,4,7,9,10,8,6,3,1]=>[1,3,6,8,10,9,7,4,5,2]
[2,4,8,7,6,5,9,3,10,1]=>[1,10,3,9,5,6,7,8,4,2]
[2,4,8,7,6,5,9,10,3,1]=>[1,3,10,9,5,6,7,8,4,2]
[2,4,8,7,6,9,5,3,10,1]=>[1,10,3,5,9,6,7,8,4,2]
[2,4,8,7,6,9,5,10,3,1]=>[1,3,10,5,9,6,7,8,4,2]
[2,4,8,7,6,9,10,5,3,1]=>[1,3,5,10,9,6,7,8,4,2]
[2,4,7,6,9,8,5,3,10,1]=>[1,10,3,5,8,9,6,7,4,2]
[2,4,7,6,9,8,5,10,3,1]=>[1,3,10,5,8,9,6,7,4,2]
[2,4,7,6,9,8,10,5,3,1]=>[1,3,5,10,8,9,6,7,4,2]
[2,4,7,6,9,10,8,5,3,1]=>[1,3,5,8,10,9,6,7,4,2]
[2,4,6,9,8,7,5,3,10,1]=>[1,10,3,5,7,8,9,6,4,2]
[2,4,6,9,8,7,5,10,3,1]=>[1,3,10,5,7,8,9,6,4,2]
[2,4,6,9,8,7,10,5,3,1]=>[1,3,5,10,7,8,9,6,4,2]
[2,4,6,9,8,10,7,5,3,1]=>[1,3,5,7,10,8,9,6,4,2]
[7,6,5,4,3,2,10,1,9,8]=>[8,9,1,10,2,3,4,5,6,7]
[1,6,3,7,9,10,5,8,4,2]=>[2,4,8,5,10,9,7,3,6,1]
[1,6,3,7,9,4,2,5,8,10]=>[10,8,5,2,4,9,7,3,6,1]
[1,6,9,10,5,8,4,2,3,7]=>[7,3,2,4,8,5,10,9,6,1]
[1,6,9,4,2,3,7,5,8,10]=>[10,8,5,7,3,2,4,9,6,1]
[1,6,9,4,2,3,7,10,5,8]=>[8,5,10,7,3,2,4,9,6,1]
[1,6,3,7,9,10,5,2,4,8]=>[8,4,2,5,10,9,7,3,6,1]
[1,6,3,7,9,4,8,10,5,2]=>[2,5,10,8,4,9,7,3,6,1]
[1,6,9,10,5,2,3,7,4,8]=>[8,4,7,3,2,5,10,9,6,1]
[1,6,9,4,8,10,5,2,3,7]=>[7,3,2,5,10,8,4,9,6,1]
[1,6,9,4,8,3,7,10,5,2]=>[2,5,10,7,3,8,4,9,6,1]
[1,6,2,3,7,4,8,10,5,9]=>[9,5,10,8,4,7,3,2,6,1]
[1,6,2,3,7,10,5,9,4,8]=>[8,4,9,5,10,7,3,2,6,1]
[1,6,3,2,7,9,10,5,8,4]=>[4,8,5,10,9,7,2,3,6,1]
[1,6,3,2,7,9,4,5,8,10]=>[10,8,5,4,9,7,2,3,6,1]
[1,6,9,10,5,8,4,2,7,3]=>[3,7,2,4,8,5,10,9,6,1]
[1,6,9,4,2,7,3,5,8,10]=>[10,8,5,3,7,2,4,9,6,1]
[1,6,9,4,2,7,10,5,8,3]=>[3,8,5,10,7,2,4,9,6,1]
[1,6,3,2,7,9,10,5,4,8]=>[8,4,5,10,9,7,2,3,6,1]
[1,6,3,2,7,9,4,8,10,5]=>[5,10,8,4,9,7,2,3,6,1]
[1,6,9,10,5,2,7,3,4,8]=>[8,4,3,7,2,5,10,9,6,1]
[1,6,9,4,8,10,5,2,7,3]=>[3,7,2,5,10,8,4,9,6,1]
[1,6,9,4,8,3,2,7,10,5]=>[5,10,7,2,3,8,4,9,6,1]
[1,6,2,7,3,4,8,5,9,10]=>[10,9,5,8,4,3,7,2,6,1]
[1,6,2,7,3,4,8,10,5,9]=>[9,5,10,8,4,3,7,2,6,1]
[1,6,2,7,10,5,9,4,8,3]=>[3,8,4,9,5,10,7,2,6,1]
[1,6,10,5,9,4,8,3,2,7]=>[7,2,3,8,4,9,5,10,6,1]
[1,6,3,8,4,2,7,9,10,5]=>[5,10,9,7,2,4,8,3,6,1]
[1,6,3,8,10,5,2,7,9,4]=>[4,9,7,2,5,10,8,3,6,1]
[1,6,9,10,5,2,7,3,8,4]=>[4,8,3,7,2,5,10,9,6,1]
[1,6,9,4,2,7,3,8,10,5]=>[5,10,8,3,7,2,4,9,6,1]
[1,6,9,4,2,7,10,5,3,8]=>[8,3,5,10,7,2,4,9,6,1]
[1,6,2,7,3,8,4,5,9,10]=>[10,9,5,4,8,3,7,2,6,1]
[1,6,2,7,3,8,10,5,9,4]=>[4,9,5,10,8,3,7,2,6,1]
[1,6,2,7,10,5,9,4,3,8]=>[8,3,4,9,5,10,7,2,6,1]
[1,6,10,5,9,4,2,7,3,8]=>[8,3,7,2,4,9,5,10,6,1]
[1,6,2,7,3,8,10,5,4,9]=>[9,4,5,10,8,3,7,2,6,1]
[1,6,2,7,10,5,3,8,4,9]=>[9,4,8,3,5,10,7,2,6,1]
[1,6,10,5,2,7,3,8,4,9]=>[9,4,8,3,7,2,5,10,6,1]
[10,8,6,9,7,4,5,2,3,1]=>[1,3,2,5,4,7,9,6,8,10]
[10,8,6,9,4,7,5,2,3,1]=>[1,3,2,5,7,4,9,6,8,10]
[10,8,6,9,4,7,2,5,3,1]=>[1,3,5,2,7,4,9,6,8,10]
[10,8,6,4,9,7,5,2,3,1]=>[1,3,2,5,7,9,4,6,8,10]
[10,8,6,9,4,2,7,5,3,1]=>[1,3,5,7,2,4,9,6,8,10]
[3,2,1,9,8,7,6,5,4,10]=>[10,4,5,6,7,8,9,1,2,3]
[4,3,2,1,9,8,7,6,10,5]=>[5,10,6,7,8,9,1,2,3,4]
[9,1,8,7,6,5,4,10,3,2]=>[2,3,10,4,5,6,7,8,1,9]
[9,2,1,8,7,6,5,3,10,4]=>[4,10,3,5,6,7,8,1,2,9]
[9,3,2,1,8,7,6,4,10,5]=>[5,10,4,6,7,8,1,2,3,9]
[9,4,3,2,1,8,7,10,6,5]=>[5,6,10,7,8,1,2,3,4,9]
[9,5,4,3,2,1,8,6,10,7]=>[7,10,6,8,1,2,3,4,5,9]
[9,6,5,4,3,2,1,7,10,8]=>[8,10,7,1,2,3,4,5,6,9]
[6,5,4,3,2,1,10,9,7,8]=>[8,7,9,10,1,2,3,4,5,6]
[2,3,10,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,10,3,2]
[2,3,4,10,9,8,7,6,5,1]=>[1,5,6,7,8,9,10,4,3,2]
[2,3,4,5,10,9,8,7,6,1]=>[1,6,7,8,9,10,5,4,3,2]
[2,3,4,5,6,10,9,8,7,1]=>[1,7,8,9,10,6,5,4,3,2]
[2,1,4,3,9,10,7,5,8,6]=>[6,8,5,7,10,9,3,4,1,2]
[2,1,7,8,5,3,6,4,10,9]=>[9,10,4,6,3,5,8,7,1,2]
[2,1,9,7,5,10,4,3,8,6]=>[6,8,3,4,10,5,7,9,1,2]
[2,1,10,8,5,3,4,7,9,6]=>[6,9,7,4,3,5,8,10,1,2]
[2,1,9,10,4,6,7,3,8,5]=>[5,8,3,7,6,4,10,9,1,2]
[2,1,9,3,10,6,4,8,7,5]=>[5,7,8,4,6,10,3,9,1,2]
[4,1,3,2,9,10,7,5,8,6]=>[6,8,5,7,10,9,2,3,1,4]
[5,6,3,1,4,2,8,7,10,9]=>[9,10,7,8,2,4,1,3,6,5]
[5,6,3,1,4,2,10,7,9,8]=>[8,9,7,10,2,4,1,3,6,5]
[7,5,3,8,2,1,6,4,10,9]=>[9,10,4,6,1,2,8,3,5,7]
[9,5,3,7,2,10,4,1,8,6]=>[6,8,1,4,10,2,7,3,5,9]
[10,5,3,8,2,1,4,7,9,6]=>[6,9,7,4,1,2,8,3,5,10]
[8,6,3,1,2,5,7,4,10,9]=>[9,10,4,7,5,2,1,3,6,8]
[9,6,3,10,4,2,7,1,8,5]=>[5,8,1,7,2,4,10,3,6,9]
[6,9,3,1,10,4,2,8,7,5]=>[5,7,8,2,4,10,1,3,9,6]
[7,10,3,1,2,4,6,8,9,5]=>[5,9,8,6,4,2,1,3,10,7]
[7,8,2,4,5,1,6,3,10,9]=>[9,10,3,6,1,5,4,2,8,7]
[9,7,2,4,5,10,3,1,8,6]=>[6,8,1,3,10,5,4,2,7,9]
[10,8,2,4,5,1,3,7,9,6]=>[6,9,7,3,1,5,4,2,8,10]
[7,1,8,4,2,6,5,3,10,9]=>[9,10,3,5,6,2,4,8,1,7]
[9,7,10,4,2,6,5,1,8,3]=>[3,8,1,5,6,2,4,10,7,9]
[9,1,10,4,8,6,2,5,7,3]=>[3,7,5,2,6,8,4,10,1,9]
[10,1,8,4,2,3,7,6,9,5]=>[5,9,6,7,3,2,4,8,1,10]
[9,10,2,3,5,6,7,1,8,4]=>[4,8,1,7,6,5,3,2,10,9]
[9,1,10,3,5,6,2,8,7,4]=>[4,7,8,2,6,5,3,10,1,9]
[9,1,2,10,5,3,7,8,6,4]=>[4,6,8,7,3,5,10,2,1,9]
[2,3,4,5,6,7,10,8,1,9]=>[9,1,8,10,7,6,5,4,3,2]
[1,9,4,5,6,7,8,3,10,2]=>[2,10,3,8,7,6,5,4,9,1]
[1,3,4,5,6,7,10,9,2,8]=>[8,2,9,10,7,6,5,4,3,1]
[9,8,4,5,6,7,1,10,3,2]=>[2,3,10,1,7,6,5,4,8,9]
[10,9,3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3,9,10]
[10,3,4,5,6,1,9,8,2,7]=>[7,2,8,9,1,6,5,4,3,10]
[9,2,4,5,6,7,10,1,3,8]=>[8,3,1,10,7,6,5,4,2,9]
[6,7,5,8,4,10,2,1,9,3]=>[3,9,1,2,10,4,8,5,7,6]
[6,7,5,10,2,1,8,4,9,3]=>[3,9,4,8,1,2,10,5,7,6]
[6,10,2,1,7,5,8,4,9,3]=>[3,9,4,8,5,7,1,2,10,6]
[10,2,1,6,7,5,8,4,9,3]=>[3,9,4,8,5,7,6,1,2,10]
[7,6,10,2,1,5,8,4,9,3]=>[3,9,4,8,5,1,2,10,6,7]
[7,6,8,5,10,2,1,4,9,3]=>[3,9,4,1,2,10,5,8,6,7]
[10,8,9,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,9,8,10]
[9,7,8,5,6,3,1,2,4,10]=>[10,4,2,1,3,6,5,8,7,9]
[10,9,8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8,9,10]
[9,8,7,5,6,3,1,2,4,10]=>[10,4,2,1,3,6,5,7,8,9]
[3,9,7,5,1,10,8,6,4,2]=>[2,4,6,8,10,1,5,7,9,3]
[3,1,9,7,5,10,8,6,4,2]=>[2,4,6,8,10,5,7,9,1,3]
[1,3,9,7,5,10,8,6,4,2]=>[2,4,6,8,10,5,7,9,3,1]
[5,9,7,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,7,9,5]
[5,1,9,7,3,10,8,6,4,2]=>[2,4,6,8,10,3,7,9,1,5]
[5,3,9,7,1,10,8,6,4,2]=>[2,4,6,8,10,1,7,9,3,5]
[5,3,1,9,7,10,8,6,4,2]=>[2,4,6,8,10,7,9,1,3,5]
[1,5,3,9,7,10,8,6,4,2]=>[2,4,6,8,10,7,9,3,5,1]
[3,5,9,7,1,10,8,6,4,2]=>[2,4,6,8,10,1,7,9,5,3]
[3,5,1,9,7,10,8,6,4,2]=>[2,4,6,8,10,7,9,1,5,3]
[3,1,5,9,7,10,8,6,4,2]=>[2,4,6,8,10,7,9,5,1,3]
[1,3,5,9,7,10,8,6,4,2]=>[2,4,6,8,10,7,9,5,3,1]
[7,9,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,9,7]
[7,1,9,5,3,10,8,6,4,2]=>[2,4,6,8,10,3,5,9,1,7]
[7,3,9,5,1,10,8,6,4,2]=>[2,4,6,8,10,1,5,9,3,7]
[7,3,1,9,5,10,8,6,4,2]=>[2,4,6,8,10,5,9,1,3,7]
[1,7,3,9,5,10,8,6,4,2]=>[2,4,6,8,10,5,9,3,7,1]
[7,5,9,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,9,5,7]
[7,5,1,9,3,10,8,6,4,2]=>[2,4,6,8,10,3,9,1,5,7]
[7,5,3,9,1,10,8,6,4,2]=>[2,4,6,8,10,1,9,3,5,7]
[7,5,3,1,9,10,8,6,4,2]=>[2,4,6,8,10,9,1,3,5,7]
[1,7,5,3,9,10,8,6,4,2]=>[2,4,6,8,10,9,3,5,7,1]
[3,7,5,9,1,10,8,6,4,2]=>[2,4,6,8,10,1,9,5,7,3]
[3,7,5,1,9,10,8,6,4,2]=>[2,4,6,8,10,9,1,5,7,3]
[3,1,7,5,9,10,8,6,4,2]=>[2,4,6,8,10,9,5,7,1,3]
[1,3,7,5,9,10,8,6,4,2]=>[2,4,6,8,10,9,5,7,3,1]
[5,7,9,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,9,7,5]
[5,7,1,9,3,10,8,6,4,2]=>[2,4,6,8,10,3,9,1,7,5]
[5,7,3,9,1,10,8,6,4,2]=>[2,4,6,8,10,1,9,3,7,5]
[5,7,3,1,9,10,8,6,4,2]=>[2,4,6,8,10,9,1,3,7,5]
[5,1,7,3,9,10,8,6,4,2]=>[2,4,6,8,10,9,3,7,1,5]
[5,3,7,9,1,10,8,6,4,2]=>[2,4,6,8,10,1,9,7,3,5]
[5,3,7,1,9,10,8,6,4,2]=>[2,4,6,8,10,9,1,7,3,5]
[5,3,1,7,9,10,8,6,4,2]=>[2,4,6,8,10,9,7,1,3,5]
[1,5,3,7,9,10,8,6,4,2]=>[2,4,6,8,10,9,7,3,5,1]
[3,5,7,9,1,10,8,6,4,2]=>[2,4,6,8,10,1,9,7,5,3]
[3,5,7,1,9,10,8,6,4,2]=>[2,4,6,8,10,9,1,7,5,3]
[3,5,1,7,9,10,8,6,4,2]=>[2,4,6,8,10,9,7,1,5,3]
[3,1,5,7,9,10,8,6,4,2]=>[2,4,6,8,10,9,7,5,1,3]
[9,1,3,2,5,4,7,6,8,10]=>[10,8,6,7,4,5,2,3,1,9]
[7,1,3,2,5,4,6,9,8,10]=>[10,8,9,6,4,5,2,3,1,7]
[5,1,3,2,4,7,6,9,8,10]=>[10,8,9,6,7,4,2,3,1,5]
[1,8,4,3,6,7,2,9,10,5]=>[5,10,9,2,7,6,3,4,8,1]
[1,6,4,3,9,7,8,2,10,5]=>[5,10,2,8,7,9,3,4,6,1]
[1,6,9,5,4,7,8,3,10,2]=>[2,10,3,8,7,4,5,9,6,1]
[5,2,4,1,6,3,8,9,10,7]=>[7,10,9,8,3,6,1,4,2,5]
[8,2,4,1,6,7,3,9,10,5]=>[5,10,9,3,7,6,1,4,2,8]
[8,2,6,5,1,7,4,9,10,3]=>[3,10,9,4,7,1,5,6,2,8]
[6,2,4,1,9,7,8,3,10,5]=>[5,10,3,8,7,9,1,4,2,6]
[6,2,9,5,1,7,8,4,10,3]=>[3,10,4,8,7,1,5,9,2,6]
[8,4,3,2,6,7,1,9,10,5]=>[5,10,9,1,7,6,2,3,4,8]
[8,6,3,5,2,7,1,9,10,4]=>[4,10,9,1,7,2,5,3,6,8]
[6,4,3,2,9,7,8,1,10,5]=>[5,10,1,8,7,9,2,3,4,6]
[6,9,3,5,2,7,8,1,10,4]=>[4,10,1,8,7,2,5,3,9,6]
[6,9,5,4,3,7,8,2,10,1]=>[1,10,2,8,7,3,4,5,9,6]
[4,2,6,5,1,3,8,9,10,7]=>[7,10,9,8,3,1,5,6,2,4]
[4,2,8,5,1,7,3,9,10,6]=>[6,10,9,3,7,1,5,8,2,4]
[8,2,5,7,6,1,4,9,10,3]=>[3,10,9,4,1,6,7,5,2,8]
[4,2,7,5,1,9,8,3,10,6]=>[6,10,3,8,9,1,5,7,2,4]
[7,2,5,9,6,1,8,4,10,3]=>[3,10,4,8,1,6,9,5,2,7]
[4,6,3,5,2,1,8,9,10,7]=>[7,10,9,8,1,2,5,3,6,4]
[4,8,3,5,2,7,1,9,10,6]=>[6,10,9,1,7,2,5,3,8,4]
[8,5,3,7,6,2,1,9,10,4]=>[4,10,9,1,2,6,7,3,5,8]
[8,5,7,4,6,3,2,9,10,1]=>[1,10,9,2,3,6,4,7,5,8]
[4,7,3,5,2,9,8,1,10,6]=>[6,10,1,8,9,2,5,3,7,4]
[7,5,3,9,6,2,8,1,10,4]=>[4,10,1,8,2,6,9,3,5,7]
[7,5,9,4,6,3,8,2,10,1]=>[1,10,2,8,3,6,4,9,5,7]
[5,9,3,6,8,7,2,1,10,4]=>[4,10,1,2,7,8,6,3,9,5]
[5,9,6,4,8,7,3,2,10,1]=>[1,10,2,3,7,8,4,6,9,5]
[4,2,7,5,1,8,10,9,3,6]=>[6,3,9,10,8,1,5,7,2,4]
[7,2,5,8,6,1,10,9,4,3]=>[3,4,9,10,1,6,8,5,2,7]
[4,7,3,5,2,8,10,9,1,6]=>[6,1,9,10,8,2,5,3,7,4]
[7,5,3,8,6,2,10,9,1,4]=>[4,1,9,10,2,6,8,3,5,7]
[7,5,8,4,6,3,10,9,2,1]=>[1,2,9,10,3,6,4,8,5,7]
[5,8,3,6,10,7,2,9,1,4]=>[4,1,9,2,7,10,6,3,8,5]
[9,10,7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7,10,9]
[3,10,2,9,4,5,7,8,6,1]=>[1,6,8,7,5,4,9,2,10,3]
[6,5,2,10,4,3,7,8,9,1]=>[1,9,8,7,3,4,10,2,5,6]
[6,10,2,9,4,3,7,8,5,1]=>[1,5,8,7,3,4,9,2,10,6]
[10,5,2,9,4,3,7,8,6,1]=>[1,6,8,7,3,4,9,2,5,10]
[6,10,2,8,4,3,7,5,9,1]=>[1,9,5,7,3,4,8,2,10,6]
[10,9,2,8,4,3,7,5,6,1]=>[1,6,5,7,3,4,8,2,9,10]
[2,6,1,10,4,5,7,8,9,3]=>[3,9,8,7,5,4,10,1,6,2]
[2,10,1,9,4,5,7,8,6,3]=>[3,6,8,7,5,4,9,1,10,2]
[6,5,1,10,4,2,7,8,9,3]=>[3,9,8,7,2,4,10,1,5,6]
[6,10,1,9,4,2,7,8,5,3]=>[3,5,8,7,2,4,9,1,10,6]
[10,5,1,9,4,2,7,8,6,3]=>[3,6,8,7,2,4,9,1,5,10]
[6,10,1,8,4,2,7,5,9,3]=>[3,9,5,7,2,4,8,1,10,6]
[10,9,1,8,4,2,7,5,6,3]=>[3,6,5,7,2,4,8,1,9,10]
[2,5,1,10,4,3,7,8,9,6]=>[6,9,8,7,3,4,10,1,5,2]
[2,10,1,9,4,3,7,8,5,6]=>[6,5,8,7,3,4,9,1,10,2]
[10,5,1,9,4,3,7,8,2,6]=>[6,2,8,7,3,4,9,1,5,10]
[2,5,1,9,4,3,7,8,6,10]=>[10,6,8,7,3,4,9,1,5,2]
[2,10,1,8,4,3,7,5,9,6]=>[6,9,5,7,3,4,8,1,10,2]
[10,9,1,8,4,3,7,5,2,6]=>[6,2,5,7,3,4,8,1,9,10]
[2,9,1,8,4,3,7,5,6,10]=>[10,6,5,7,3,4,8,1,9,2]
[6,4,1,10,2,5,7,8,9,3]=>[3,9,8,7,5,2,10,1,4,6]
[6,10,1,9,2,5,7,8,4,3]=>[3,4,8,7,5,2,9,1,10,6]
[10,4,1,9,2,5,7,8,6,3]=>[3,6,8,7,5,2,9,1,4,10]
[6,10,1,8,2,5,7,4,9,3]=>[3,9,4,7,5,2,8,1,10,6]
[10,9,1,8,2,5,7,4,6,3]=>[3,6,4,7,5,2,8,1,9,10]
[5,4,1,10,2,3,7,8,9,6]=>[6,9,8,7,3,2,10,1,4,5]
[5,10,1,9,2,3,7,8,4,6]=>[6,4,8,7,3,2,9,1,10,5]
[10,4,1,9,2,3,7,8,5,6]=>[6,5,8,7,3,2,9,1,4,10]
[5,4,1,9,2,3,7,8,6,10]=>[10,6,8,7,3,2,9,1,4,5]
[5,10,1,8,2,3,7,4,9,6]=>[6,9,4,7,3,2,8,1,10,5]
[10,9,1,8,2,3,7,4,5,6]=>[6,5,4,7,3,2,8,1,9,10]
[5,9,1,8,2,3,7,4,6,10]=>[10,6,4,7,3,2,8,1,9,5]
[10,4,1,8,2,3,7,5,9,6]=>[6,9,5,7,3,2,8,1,4,10]
[9,4,1,8,2,3,7,5,6,10]=>[10,6,5,7,3,2,8,1,4,9]
[6,10,1,7,2,5,4,8,9,3]=>[3,9,8,4,5,2,7,1,10,6]
[10,9,1,7,2,5,4,8,6,3]=>[3,6,8,4,5,2,7,1,9,10]
[5,10,1,7,2,3,4,8,9,6]=>[6,9,8,4,3,2,7,1,10,5]
[10,9,1,7,2,3,4,8,5,6]=>[6,5,8,4,3,2,7,1,9,10]
[5,9,1,7,2,3,4,8,6,10]=>[10,6,8,4,3,2,7,1,9,5]
[10,8,1,7,2,3,4,5,9,6]=>[6,9,5,4,3,2,7,1,8,10]
[6,5,7,4,8,2,9,1,10,3]=>[3,10,1,9,2,8,4,7,5,6]
[6,5,7,3,8,2,9,1,10,4]=>[4,10,1,9,2,8,3,7,5,6]
[6,4,7,3,8,2,9,1,10,5]=>[5,10,1,9,2,8,3,7,4,6]
[5,7,4,8,3,9,2,10,1,6]=>[6,1,10,2,9,3,8,4,7,5]
[5,6,4,8,3,9,2,10,1,7]=>[7,1,10,2,9,3,8,4,6,5]
[5,6,4,7,3,9,2,10,1,8]=>[8,1,10,2,9,3,7,4,6,5]
[9,8,7,4,1,6,2,3,5,10]=>[10,5,3,2,6,1,4,7,8,9]
[9,8,3,1,5,2,7,4,6,10]=>[10,6,4,7,2,5,1,3,8,9]
[1,10,4,7,3,8,2,9,5,6]=>[6,5,9,2,8,3,7,4,10,1]
[1,10,5,6,4,7,3,8,2,9]=>[9,2,8,3,7,4,6,5,10,1]
[1,10,6,4,7,3,8,2,9,5]=>[5,9,2,8,3,7,4,6,10,1]
[1,10,7,3,8,2,9,4,6,5]=>[5,6,4,9,2,8,3,7,10,1]
[1,10,8,2,9,3,7,4,6,5]=>[5,6,4,7,3,9,2,8,10,1]
[1,10,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,10,1]
[1,3,2,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,2,3,1]
[1,4,2,3,10,5,6,7,8,9]=>[9,8,7,6,5,10,3,2,4,1]
[1,2,4,3,10,5,6,7,8,9]=>[9,8,7,6,5,10,3,4,2,1]
[1,5,2,3,4,10,6,7,8,9]=>[9,8,7,6,10,4,3,2,5,1]
[2,1,5,3,4,10,6,7,8,9]=>[9,8,7,6,10,4,3,5,1,2]
[1,2,5,3,4,10,6,7,8,9]=>[9,8,7,6,10,4,3,5,2,1]
[1,3,2,5,4,10,6,7,8,9]=>[9,8,7,6,10,4,5,2,3,1]
[1,2,6,3,4,5,10,7,8,9]=>[9,8,7,10,5,4,3,6,2,1]
[3,1,2,6,4,5,10,7,8,9]=>[9,8,7,10,5,4,6,2,1,3]
[1,3,2,6,4,5,10,7,8,9]=>[9,8,7,10,5,4,6,2,3,1]
[1,2,3,6,4,5,10,7,8,9]=>[9,8,7,10,5,4,6,3,2,1]
[1,2,3,4,6,5,10,7,8,9]=>[9,8,7,10,5,6,4,3,2,1]
[1,4,2,3,7,5,6,10,8,9]=>[9,8,10,6,5,7,3,2,4,1]
[2,1,4,3,7,5,6,10,8,9]=>[9,8,10,6,5,7,3,4,1,2]
[1,2,4,3,7,5,6,10,8,9]=>[9,8,10,6,5,7,3,4,2,1]
[1,2,3,4,7,5,6,10,8,9]=>[9,8,10,6,5,7,4,3,2,1]
[1,2,3,5,4,7,6,10,8,9]=>[9,8,10,6,7,4,5,3,2,1]
[1,2,3,4,5,7,6,10,8,9]=>[9,8,10,6,7,5,4,3,2,1]
[1,3,5,7,9,8,6,4,2,10]=>[10,2,4,6,8,9,7,5,3,1]
[1,3,5,7,9,8,6,2,4,10]=>[10,4,2,6,8,9,7,5,3,1]
[1,2,4,6,8,10,9,7,3,5]=>[5,3,7,9,10,8,6,4,2,1]
[2,3,5,6,7,1,4,9,8,10]=>[10,8,9,4,1,7,6,5,3,2]
[2,3,4,1,6,8,9,5,7,10]=>[10,7,5,9,8,6,1,4,3,2]
[2,3,5,8,6,1,9,4,7,10]=>[10,7,4,9,1,6,8,5,3,2]
[2,3,5,7,8,9,1,4,6,10]=>[10,6,4,1,9,8,7,5,3,2]
[2,4,8,5,6,1,9,3,7,10]=>[10,7,3,9,1,6,5,8,4,2]
[2,4,7,5,8,9,1,3,6,10]=>[10,6,3,1,9,8,5,7,4,2]
[2,3,5,6,7,1,4,10,8,9]=>[9,8,10,4,1,7,6,5,3,2]
[2,3,4,1,6,10,8,5,7,9]=>[9,7,5,8,10,6,1,4,3,2]
[2,3,5,10,6,1,8,4,7,9]=>[9,7,4,8,1,6,10,5,3,2]
[2,3,5,10,7,8,1,4,6,9]=>[9,6,4,1,8,7,10,5,3,2]
[2,4,10,5,6,1,8,3,7,9]=>[9,7,3,8,1,6,5,10,4,2]
[2,4,10,5,7,8,1,3,6,9]=>[9,6,3,1,8,7,5,10,4,2]
[2,3,4,1,6,9,10,5,7,8]=>[8,7,5,10,9,6,1,4,3,2]
[2,3,5,9,6,1,10,4,7,8]=>[8,7,4,10,1,6,9,5,3,2]
[2,3,5,9,10,7,1,4,6,8]=>[8,6,4,1,7,10,9,5,3,2]
[2,4,9,5,6,1,10,3,7,8]=>[8,7,3,10,1,6,5,9,4,2]
[2,4,9,5,10,7,1,3,6,8]=>[8,6,3,1,7,10,5,9,4,2]
[2,4,8,5,9,10,1,3,6,7]=>[7,6,3,1,10,9,5,8,4,2]
[2,3,4,1,10,7,8,5,6,9]=>[9,6,5,8,7,10,1,4,3,2]
[2,3,10,5,1,7,8,4,6,9]=>[9,6,4,8,7,1,5,10,3,2]
[2,3,10,6,7,8,1,4,5,9]=>[9,5,4,1,8,7,6,10,3,2]
[2,10,4,5,1,7,8,3,6,9]=>[9,6,3,8,7,1,5,4,10,2]
[2,10,4,6,7,8,1,3,5,9]=>[9,5,3,1,8,7,6,4,10,2]
[2,3,4,1,9,7,10,5,6,8]=>[8,6,5,10,7,9,1,4,3,2]
[2,3,9,5,1,7,10,4,6,8]=>[8,6,4,10,7,1,5,9,3,2]
[2,3,9,6,10,7,1,4,5,8]=>[8,5,4,1,7,10,6,9,3,2]
[2,3,8,6,9,10,1,4,5,7]=>[7,5,4,1,10,9,6,8,3,2]
[2,9,4,5,1,7,10,3,6,8]=>[8,6,3,10,7,1,5,4,9,2]
[2,9,4,6,10,7,1,3,5,8]=>[8,5,3,1,7,10,6,4,9,2]
[2,8,4,6,9,10,1,3,5,7]=>[7,5,3,1,10,9,6,4,8,2]
[2,9,5,10,6,7,1,3,4,8]=>[8,4,3,1,7,6,10,5,9,2]
[2,8,5,9,6,10,1,3,4,7]=>[7,4,3,1,10,6,9,5,8,2]
[10,3,4,5,1,7,8,2,6,9]=>[9,6,2,8,7,1,5,4,3,10]
[10,3,4,6,7,8,1,2,5,9]=>[9,5,2,1,8,7,6,4,3,10]
[9,3,4,5,1,7,10,2,6,8]=>[8,6,2,10,7,1,5,4,3,9]
[9,3,4,6,10,7,1,2,5,8]=>[8,5,2,1,7,10,6,4,3,9]
[9,3,5,10,6,7,1,2,4,8]=>[8,4,2,1,7,6,10,5,3,9]
[9,8,7,6,5,4,1,3,10,2]=>[2,10,3,1,4,5,6,7,8,9]
[8,9,7,6,5,4,2,10,3,1]=>[1,3,10,2,4,5,6,7,9,8]
[7,10,8,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,8,10,7]
[2,10,7,8,6,5,4,3,9,1]=>[1,9,3,4,5,6,8,7,10,2]
[6,9,8,7,5,2,10,3,4,1]=>[1,4,3,10,2,5,7,8,9,6]
[1,8,9,7,6,5,3,10,4,2]=>[2,4,10,3,5,6,7,9,8,1]
[7,6,5,4,3,8,2,9,1,10]=>[10,1,9,2,8,3,4,5,6,7]
[5,10,4,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,4,10,5]
[6,5,9,4,7,2,10,3,8,1]=>[1,8,3,10,2,7,4,9,5,6]
[9,5,3,8,6,2,10,4,7,1]=>[1,7,4,10,2,6,8,3,5,9]
[8,5,6,3,9,2,10,4,7,1]=>[1,7,4,10,2,9,3,6,5,8]
[4,3,8,7,10,5,2,9,6,1]=>[1,6,9,2,5,10,7,8,3,4]
[4,7,9,2,10,5,3,8,6,1]=>[1,6,8,3,5,10,2,9,7,4]
[7,4,8,3,10,5,2,9,6,1]=>[1,6,9,2,5,10,3,8,4,7]
[9,3,8,2,10,5,4,7,6,1]=>[1,6,7,4,5,10,2,8,3,9]
[4,3,8,7,10,6,9,2,5,1]=>[1,5,2,9,6,10,7,8,3,4]
[9,7,4,2,10,6,8,3,5,1]=>[1,5,3,8,6,10,2,4,7,9]
[4,7,10,6,8,2,9,3,5,1]=>[1,5,3,9,2,8,6,10,7,4]
[9,4,3,8,7,2,10,6,5,1]=>[1,5,6,10,2,7,8,3,4,9]
[10,7,4,1,6,9,8,3,2,5]=>[5,2,3,8,9,6,1,4,7,10]
[9,3,4,1,6,10,7,8,2,5]=>[5,2,8,7,10,6,1,4,3,9]
[3,2,6,5,9,8,10,7,4,1]=>[1,4,7,10,8,9,5,6,2,3]
[3,8,10,7,2,6,5,9,4,1]=>[1,4,9,5,6,2,7,10,8,3]
[10,7,2,6,8,3,5,9,4,1]=>[1,4,9,5,3,8,6,2,7,10]
[10,7,6,3,2,9,8,5,4,1]=>[1,4,5,8,9,2,3,6,7,10]
[10,7,3,6,2,9,5,8,4,1]=>[1,4,8,5,9,2,6,3,7,10]
[10,8,9,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,9,8,10]
[2,7,6,3,1,9,10,8,5,4]=>[4,5,8,10,9,1,3,6,7,2]
[10,8,3,1,7,9,5,6,2,4]=>[4,2,6,5,9,7,1,3,8,10]
[6,2,7,3,1,9,5,10,8,4]=>[4,8,10,5,9,1,3,7,2,6]
[5,2,9,6,10,8,4,7,3,1]=>[1,3,7,4,8,10,6,9,2,5]
[10,8,5,2,7,4,9,6,3,1]=>[1,3,6,9,4,7,2,5,8,10]
[4,2,1,6,3,8,5,10,9,7]=>[7,9,10,5,8,3,6,1,2,4]
[10,9,7,4,2,1,6,3,8,5]=>[5,8,3,6,1,2,4,7,9,10]
[2,3,4,5,6,1,8,9,7,10]=>[10,7,9,8,1,6,5,4,3,2]
[2,3,4,5,6,1,8,7,9,10]=>[10,9,7,8,1,6,5,4,3,2]
[2,3,4,5,1,7,8,9,6,10]=>[10,6,9,8,7,1,5,4,3,2]
[2,3,4,5,1,7,8,6,10,9]=>[9,10,6,8,7,1,5,4,3,2]
[2,3,4,5,1,7,8,6,9,10]=>[10,9,6,8,7,1,5,4,3,2]
[2,3,4,5,1,7,6,8,9,10]=>[10,9,8,6,7,1,5,4,3,2]
[2,3,4,1,6,7,8,5,9,10]=>[10,9,5,8,7,6,1,4,3,2]
[2,3,4,1,6,7,5,9,10,8]=>[8,10,9,5,7,6,1,4,3,2]
[2,3,4,1,6,7,5,8,9,10]=>[10,9,8,5,7,6,1,4,3,2]
[2,3,4,1,6,5,8,7,9,10]=>[10,9,7,8,5,6,1,4,3,2]
[2,3,4,1,6,5,7,8,9,10]=>[10,9,8,7,5,6,1,4,3,2]
[2,3,1,5,6,4,8,9,7,10]=>[10,7,9,8,4,6,5,1,3,2]
[2,3,1,5,6,4,8,7,10,9]=>[9,10,7,8,4,6,5,1,3,2]
[2,3,1,5,6,4,8,7,9,10]=>[10,9,7,8,4,6,5,1,3,2]
[2,3,1,5,6,4,7,8,9,10]=>[10,9,8,7,4,6,5,1,3,2]
[2,3,1,5,4,7,6,8,9,10]=>[10,9,8,6,7,4,5,1,3,2]
[2,3,1,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,1,3,2]
[10,1,2,3,6,4,5,7,8,9]=>[9,8,7,5,4,6,3,2,1,10]
[10,2,3,4,5,7,6,8,9,1]=>[1,9,8,6,7,5,4,3,2,10]
[1,8,3,9,2,10,4,7,5,6]=>[6,5,7,4,10,2,9,3,8,1]
[1,7,4,8,3,9,2,10,5,6]=>[6,5,10,2,9,3,8,4,7,1]
[1,6,5,7,4,8,3,9,2,10]=>[10,2,9,3,8,4,7,5,6,1]
[1,5,7,4,8,3,9,2,10,6]=>[6,10,2,9,3,8,4,7,5,1]
[1,4,8,3,9,2,10,5,7,6]=>[6,7,5,10,2,9,3,8,4,1]
[1,3,9,2,10,4,8,5,7,6]=>[6,7,5,8,4,10,2,9,3,1]
[10,9,8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8,9,10]
[10,9,8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8,9,10]
[2,4,3,7,6,5,1,8,9,10]=>[10,9,8,1,5,6,7,3,4,2]
[2,4,3,8,7,6,1,5,9,10]=>[10,9,5,1,6,7,8,3,4,2]
[2,5,4,7,6,3,1,8,9,10]=>[10,9,8,1,3,6,7,4,5,2]
[2,5,4,8,7,3,1,6,9,10]=>[10,9,6,1,3,7,8,4,5,2]
[2,6,5,8,7,4,1,3,9,10]=>[10,9,3,1,4,7,8,5,6,2]
[2,5,4,9,8,3,1,6,7,10]=>[10,7,6,1,3,8,9,4,5,2]
[2,6,5,9,8,4,1,3,7,10]=>[10,7,3,1,4,8,9,5,6,2]
[3,4,2,7,6,5,1,8,9,10]=>[10,9,8,1,5,6,7,2,4,3]
[3,4,2,8,7,6,1,5,9,10]=>[10,9,5,1,6,7,8,2,4,3]
[3,5,2,7,6,4,1,8,9,10]=>[10,9,8,1,4,6,7,2,5,3]
[3,5,2,8,7,4,1,6,9,10]=>[10,9,6,1,4,7,8,2,5,3]
[3,6,2,8,7,5,1,4,9,10]=>[10,9,4,1,5,7,8,2,6,3]
[3,5,2,9,8,4,1,6,7,10]=>[10,7,6,1,4,8,9,2,5,3]
[3,6,2,9,8,5,1,4,7,10]=>[10,7,4,1,5,8,9,2,6,3]
[4,5,3,7,6,2,1,8,9,10]=>[10,9,8,1,2,6,7,3,5,4]
[4,5,3,8,7,2,1,6,9,10]=>[10,9,6,1,2,7,8,3,5,4]
[4,6,3,8,7,2,1,5,9,10]=>[10,9,5,1,2,7,8,3,6,4]
[5,6,4,8,7,3,1,2,9,10]=>[10,9,2,1,3,7,8,4,6,5]
[4,5,3,9,8,2,1,6,7,10]=>[10,7,6,1,2,8,9,3,5,4]
[4,6,3,9,8,2,1,5,7,10]=>[10,7,5,1,2,8,9,3,6,4]
[5,6,4,9,8,3,1,2,7,10]=>[10,7,2,1,3,8,9,4,6,5]
[3,6,2,7,5,4,1,8,9,10]=>[10,9,8,1,4,5,7,2,6,3]
[3,6,2,8,5,4,1,7,9,10]=>[10,9,7,1,4,5,8,2,6,3]
[3,7,2,8,6,5,1,4,9,10]=>[10,9,4,1,5,6,8,2,7,3]
[3,6,2,9,5,4,1,7,8,10]=>[10,8,7,1,4,5,9,2,6,3]
[3,7,2,9,6,5,1,4,8,10]=>[10,8,4,1,5,6,9,2,7,3]
[4,6,3,7,5,2,1,8,9,10]=>[10,9,8,1,2,5,7,3,6,4]
[4,6,3,8,5,2,1,7,9,10]=>[10,9,7,1,2,5,8,3,6,4]
[4,7,3,8,6,2,1,5,9,10]=>[10,9,5,1,2,6,8,3,7,4]
[5,7,4,8,6,3,1,2,9,10]=>[10,9,2,1,3,6,8,4,7,5]
[4,6,3,9,5,2,1,7,8,10]=>[10,8,7,1,2,5,9,3,6,4]
[4,7,3,9,6,2,1,5,8,10]=>[10,8,5,1,2,6,9,3,7,4]
[5,7,4,9,6,3,1,2,8,10]=>[10,8,2,1,3,6,9,4,7,5]
[4,8,3,9,7,2,1,5,6,10]=>[10,6,5,1,2,7,9,3,8,4]
[5,8,4,9,7,3,1,2,6,10]=>[10,6,2,1,3,7,9,4,8,5]
[3,6,2,10,5,4,1,7,8,9]=>[9,8,7,1,4,5,10,2,6,3]
[3,7,2,10,6,5,1,4,8,9]=>[9,8,4,1,5,6,10,2,7,3]
[4,6,3,10,5,2,1,7,8,9]=>[9,8,7,1,2,5,10,3,6,4]
[4,7,3,10,6,2,1,5,8,9]=>[9,8,5,1,2,6,10,3,7,4]
[5,7,4,10,6,3,1,2,8,9]=>[9,8,2,1,3,6,10,4,7,5]
[4,8,3,10,7,2,1,5,6,9]=>[9,6,5,1,2,7,10,3,8,4]
[5,8,4,10,7,3,1,2,6,9]=>[9,6,2,1,3,7,10,4,8,5]
[10,8,7,6,1,2,3,4,9,5]=>[5,9,4,3,2,1,6,7,8,10]
[10,9,7,1,6,2,3,8,4,5]=>[5,4,8,3,2,6,1,7,9,10]
[10,9,7,6,1,2,3,8,4,5]=>[5,4,8,3,2,1,6,7,9,10]
[10,7,6,1,2,3,4,8,9,5]=>[5,9,8,4,3,2,1,6,7,10]
[10,9,1,8,6,2,7,3,4,5]=>[5,4,3,7,2,6,8,1,9,10]
[10,8,1,6,2,3,7,4,9,5]=>[5,9,4,7,3,2,6,1,8,10]
[10,9,8,1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1,8,9,10]
[10,9,8,6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6,8,9,10]
[10,8,6,1,2,3,7,4,9,5]=>[5,9,4,7,3,2,1,6,8,10]
[10,9,1,2,6,3,7,8,4,5]=>[5,4,8,7,3,6,2,1,9,10]
[10,9,1,6,2,3,7,8,4,5]=>[5,4,8,7,3,2,6,1,9,10]
[10,9,6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6,9,10]
[10,6,1,2,3,4,7,8,9,5]=>[5,9,8,7,4,3,2,1,6,10]
[10,1,9,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,9,1,10]
[10,1,8,7,2,6,3,4,9,5]=>[5,9,4,3,6,2,7,8,1,10]
[10,1,9,2,7,6,3,8,4,5]=>[5,4,8,3,6,7,2,9,1,10]
[10,1,9,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,9,1,10]
[10,1,7,2,3,6,4,8,9,5]=>[5,9,8,4,6,3,2,7,1,10]
[10,9,1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1,9,10]
[10,8,1,7,2,6,3,4,9,5]=>[5,9,4,3,6,2,7,1,8,10]
[10,9,8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8,9,10]
[10,9,8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8,9,10]
[10,8,7,1,2,6,3,4,9,5]=>[5,9,4,3,6,2,1,7,8,10]
[10,9,1,2,7,6,3,8,4,5]=>[5,4,8,3,6,7,2,1,9,10]
[10,9,1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1,9,10]
[10,9,7,1,2,6,3,8,4,5]=>[5,4,8,3,6,2,1,7,9,10]
[10,7,1,2,3,6,4,8,9,5]=>[5,9,8,4,6,3,2,1,7,10]
[10,1,2,9,8,6,7,3,4,5]=>[5,4,3,7,6,8,9,2,1,10]
[10,1,2,8,3,6,7,4,9,5]=>[5,9,4,7,6,3,8,2,1,10]
[10,1,9,2,8,6,7,3,4,5]=>[5,4,3,7,6,8,2,9,1,10]
[10,1,9,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,9,1,10]
[10,1,8,2,3,6,7,4,9,5]=>[5,9,4,7,6,3,2,8,1,10]
[10,9,1,2,8,6,7,3,4,5]=>[5,4,3,7,6,8,2,1,9,10]
[10,9,1,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,1,9,10]
[10,9,8,1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1,8,9,10]
[10,8,1,2,3,6,7,4,9,5]=>[5,9,4,7,6,3,2,1,8,10]
[10,1,2,3,9,6,7,8,4,5]=>[5,4,8,7,6,9,3,2,1,10]
[10,1,2,9,3,6,7,8,4,5]=>[5,4,8,7,6,3,9,2,1,10]
[10,1,9,2,3,6,7,8,4,5]=>[5,4,8,7,6,3,2,9,1,10]
[10,9,1,2,3,6,7,8,4,5]=>[5,4,8,7,6,3,2,1,9,10]
[10,8,6,4,2,3,1,5,7,9]=>[9,7,5,1,3,2,4,6,8,10]
[10,8,6,3,4,2,5,1,7,9]=>[9,7,1,5,2,4,3,6,8,10]
[10,8,5,6,4,7,2,3,1,9]=>[9,1,3,2,7,4,6,5,8,10]
[10,8,5,3,4,2,6,7,1,9]=>[9,1,7,6,2,4,3,5,8,10]
[10,8,4,5,3,6,2,7,1,9]=>[9,1,7,2,6,3,5,4,8,10]
[10,7,8,6,9,4,2,3,1,5]=>[5,1,3,2,4,9,6,8,7,10]
[10,7,8,6,9,3,4,2,5,1]=>[1,5,2,4,3,9,6,8,7,10]
[10,7,5,6,4,8,9,2,3,1]=>[1,3,2,9,8,4,6,5,7,10]
[10,6,7,5,8,4,9,2,3,1]=>[1,3,2,9,4,8,5,7,6,10]
[10,7,5,3,4,2,6,8,9,1]=>[1,9,8,6,2,4,3,5,7,10]
[10,7,4,5,3,6,2,8,9,1]=>[1,9,8,2,6,3,5,4,7,10]
[10,6,7,5,8,3,4,2,9,1]=>[1,9,2,4,3,8,5,7,6,10]
[10,6,4,5,3,7,8,2,9,1]=>[1,9,2,8,7,3,5,4,6,10]
[9,8,10,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,10,8,9]
[9,8,10,6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6,10,8,9]
[9,8,10,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,10,8,9]
[9,8,10,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,10,8,9]
[9,8,10,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,10,8,9]
[9,7,6,8,4,2,3,1,5,10]=>[10,5,1,3,2,4,8,6,7,9]
[9,7,6,8,3,4,2,5,1,10]=>[10,1,5,2,4,3,8,6,7,9]
[8,7,9,5,3,4,2,6,10,1]=>[1,10,6,2,4,3,5,9,7,8]
[8,7,9,4,5,3,6,2,10,1]=>[1,10,2,6,3,5,4,9,7,8]
[9,7,5,4,6,2,3,1,8,10]=>[10,8,1,3,2,6,4,5,7,9]
[9,6,5,7,3,4,2,8,1,10]=>[10,1,8,2,4,3,7,5,6,9]
[8,7,9,5,6,4,10,2,3,1]=>[1,3,2,10,4,6,5,9,7,8]
[8,6,5,7,3,4,2,9,10,1]=>[1,10,9,2,4,3,7,5,6,8]
[7,6,8,4,5,3,9,2,10,1]=>[1,10,2,9,3,5,4,8,6,7]
[9,7,5,3,2,4,1,6,8,10]=>[10,8,6,1,4,2,3,5,7,9]
[9,7,4,3,5,2,6,1,8,10]=>[10,8,1,6,2,5,3,4,7,9]
[9,6,7,5,8,4,2,3,1,10]=>[10,1,3,2,4,8,5,7,6,9]
[9,5,4,6,3,7,2,8,1,10]=>[10,1,8,2,7,3,6,4,5,9]
[8,9,7,10,6,4,2,3,1,5]=>[5,1,3,2,4,6,10,7,9,8]
[8,9,7,10,6,3,4,2,5,1]=>[1,5,2,4,3,6,10,7,9,8]
[8,6,7,5,9,10,4,2,3,1]=>[1,3,2,4,10,9,5,7,6,8]
[7,8,6,9,5,10,4,2,3,1]=>[1,3,2,4,10,5,9,6,8,7]
[8,6,4,3,5,2,7,9,10,1]=>[1,10,9,7,2,5,3,4,6,8]
[8,5,4,6,3,7,2,9,10,1]=>[1,10,9,2,7,3,6,4,5,8]
[7,8,6,9,5,3,4,2,10,1]=>[1,10,2,4,3,5,9,6,8,7]
[7,5,4,6,3,8,9,2,10,1]=>[1,10,2,9,8,3,6,4,5,7]
[6,5,4,3,2,1,9,8,10,7]=>[7,10,8,9,1,2,3,4,5,6]
[5,4,3,2,1,9,8,7,10,6]=>[6,10,7,8,9,1,2,3,4,5]
[5,4,3,2,1,8,7,9,10,6]=>[6,10,9,7,8,1,2,3,4,5]
[4,3,2,1,8,7,6,10,9,5]=>[5,9,10,6,7,8,1,2,3,4]
[4,3,2,1,8,7,6,9,10,5]=>[5,10,9,6,7,8,1,2,3,4]
[4,3,2,1,7,6,9,8,10,5]=>[5,10,8,9,6,7,1,2,3,4]
[4,3,2,1,7,6,8,9,10,5]=>[5,10,9,8,6,7,1,2,3,4]
[3,2,1,8,7,6,5,9,10,4]=>[4,10,9,5,6,7,8,1,2,3]
[3,2,1,7,6,5,10,9,8,4]=>[4,8,9,10,5,6,7,1,2,3]
[3,2,1,7,6,5,8,9,10,4]=>[4,10,9,8,5,6,7,1,2,3]
[3,2,1,6,5,8,7,9,10,4]=>[4,10,9,7,8,5,6,1,2,3]
[3,2,1,6,5,7,8,9,10,4]=>[4,10,9,8,7,5,6,1,2,3]
[2,1,6,5,4,9,8,7,10,3]=>[3,10,7,8,9,4,5,6,1,2]
[2,1,6,5,4,8,7,10,9,3]=>[3,9,10,7,8,4,5,6,1,2]
[2,1,6,5,4,8,7,9,10,3]=>[3,10,9,7,8,4,5,6,1,2]
[2,1,6,5,4,7,8,9,10,3]=>[3,10,9,8,7,4,5,6,1,2]
[2,1,5,4,7,6,8,9,10,3]=>[3,10,9,8,6,7,4,5,1,2]
[2,1,5,4,6,7,8,9,10,3]=>[3,10,9,8,7,6,4,5,1,2]
[1,4,3,6,5,8,7,9,10,2]=>[2,10,9,7,8,5,6,3,4,1]
[1,4,3,6,5,7,8,9,10,2]=>[2,10,9,8,7,5,6,3,4,1]
[10,9,8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8,9,10]
[10,1,9,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,9,1,10]
[10,1,9,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,9,1,10]
[10,1,8,2,3,9,4,5,6,7]=>[7,6,5,4,9,3,2,8,1,10]
[10,1,2,4,8,9,3,5,6,7]=>[7,6,5,3,9,8,4,2,1,10]
[10,1,7,2,3,8,4,5,6,9]=>[9,6,5,4,8,3,2,7,1,10]
[10,1,2,4,7,9,3,5,6,8]=>[8,6,5,3,9,7,4,2,1,10]
[10,1,2,4,7,8,3,5,6,9]=>[9,6,5,3,8,7,4,2,1,10]
[9,1,10,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,10,1,9]
[9,1,10,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,10,1,9]
[1,9,10,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,10,9,1]
[1,3,10,4,8,9,2,5,6,7]=>[7,6,5,2,9,8,4,10,3,1]
[1,8,10,2,3,7,4,5,6,9]=>[9,6,5,4,7,3,2,10,8,1]
[1,3,10,4,7,9,2,5,6,8]=>[8,6,5,2,9,7,4,10,3,1]
[1,3,10,4,7,8,2,5,6,9]=>[9,6,5,2,8,7,4,10,3,1]
[8,1,9,2,3,10,4,5,6,7]=>[7,6,5,4,10,3,2,9,1,8]
[8,1,2,4,9,10,3,5,6,7]=>[7,6,5,3,10,9,4,2,1,8]
[1,8,2,4,9,10,3,5,6,7]=>[7,6,5,3,10,9,4,2,8,1]
[7,1,8,2,3,9,4,5,6,10]=>[10,6,5,4,9,3,2,8,1,7]
[8,1,2,4,7,10,3,5,6,9]=>[9,6,5,3,10,7,4,2,1,8]
[1,8,2,4,7,10,3,5,6,9]=>[9,6,5,3,10,7,4,2,8,1]
[7,1,2,4,8,9,3,5,6,10]=>[10,6,5,3,9,8,4,2,1,7]
[1,8,10,2,3,9,4,5,6,7]=>[7,6,5,4,9,3,2,10,8,1]
[1,3,10,7,2,9,4,5,6,8]=>[8,6,5,4,9,2,7,10,3,1]
[1,7,10,2,3,8,4,5,6,9]=>[9,6,5,4,8,3,2,10,7,1]
[1,3,10,6,2,9,4,5,7,8]=>[8,7,5,4,9,2,6,10,3,1]
[1,3,10,6,2,8,4,5,7,9]=>[9,7,5,4,8,2,6,10,3,1]
[1,8,9,2,3,10,4,5,6,7]=>[7,6,5,4,10,3,2,9,8,1]
[1,3,9,7,2,10,4,5,6,8]=>[8,6,5,4,10,2,7,9,3,1]
[1,7,2,4,9,10,3,5,6,8]=>[8,6,5,3,10,9,4,2,7,1]
[1,7,8,2,3,9,4,5,6,10]=>[10,6,5,4,9,3,2,8,7,1]
[1,3,9,6,2,10,4,5,7,8]=>[8,7,5,4,10,2,6,9,3,1]
[1,3,2,8,9,10,4,5,6,7]=>[7,6,5,4,10,9,8,2,3,1]
[1,3,8,6,2,9,4,5,7,10]=>[10,7,5,4,9,2,6,8,3,1]
[1,6,2,4,8,10,3,5,7,9]=>[9,7,5,3,10,8,4,2,6,1]
[1,6,2,4,8,9,3,5,7,10]=>[10,7,5,3,9,8,4,2,6,1]
[1,3,10,5,2,9,4,6,7,8]=>[8,7,6,4,9,2,5,10,3,1]
[1,3,10,5,2,8,4,6,7,9]=>[9,7,6,4,8,2,5,10,3,1]
[1,3,9,5,2,10,4,6,7,8]=>[8,7,6,4,10,2,5,9,3,1]
[1,3,2,7,9,10,4,5,6,8]=>[8,6,5,4,10,9,7,2,3,1]
[1,3,8,5,2,9,4,6,7,10]=>[10,7,6,4,9,2,5,8,3,1]
[1,3,2,7,8,10,4,5,6,9]=>[9,6,5,4,10,8,7,2,3,1]
[10,8,4,5,6,7,1,2,3,9]=>[9,3,2,1,7,6,5,4,8,10]
[8,10,7,5,6,1,2,3,4,9]=>[9,4,3,2,1,6,5,7,10,8]
[7,8,10,6,1,2,3,4,5,9]=>[9,5,4,3,2,1,6,10,8,7]
[8,7,4,5,6,1,2,10,3,9]=>[9,3,10,2,1,6,5,4,7,8]
[7,8,6,5,1,2,3,10,4,9]=>[9,4,10,3,2,1,5,6,8,7]
[6,7,8,1,2,3,4,10,5,9]=>[9,5,10,4,3,2,1,8,7,6]
[4,5,2,6,1,3,7,8,9,10]=>[10,9,8,7,3,1,6,2,5,4]
[4,5,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,5,4]
[5,6,2,7,8,1,3,4,9,10]=>[10,9,4,3,1,8,7,2,6,5]
[5,6,7,3,4,1,2,8,9,10]=>[10,9,8,2,1,4,3,7,6,5]
[5,6,3,2,7,1,4,8,9,10]=>[10,9,8,4,1,7,2,3,6,5]
[6,7,2,8,9,10,1,3,4,5]=>[5,4,3,1,10,9,8,2,7,6]
[6,7,8,3,4,9,1,2,5,10]=>[10,5,2,1,9,4,3,8,7,6]
[6,7,3,2,8,9,1,4,5,10]=>[10,5,4,1,9,8,2,3,7,6]
[6,7,4,8,2,5,1,3,9,10]=>[10,9,3,1,5,2,8,4,7,6]
[6,7,4,3,2,8,1,5,9,10]=>[10,9,5,1,8,2,3,4,7,6]
[7,8,9,3,4,5,10,1,2,6]=>[6,2,1,10,5,4,3,9,8,7]
[7,8,3,2,4,9,10,1,5,6]=>[6,5,1,10,9,4,2,3,8,7]
[7,8,4,3,2,9,10,1,5,6]=>[6,5,1,10,9,2,3,4,8,7]
[7,8,9,5,6,3,4,1,2,10]=>[10,2,1,4,3,6,5,9,8,7]
[7,8,5,3,9,2,6,1,4,10]=>[10,4,1,6,2,9,3,5,8,7]
[7,8,5,4,3,2,9,1,6,10]=>[10,6,1,9,2,3,4,5,8,7]
[7,8,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,8,7]
[8,9,5,6,10,2,3,7,1,4]=>[4,1,7,3,2,10,6,5,9,8]
[8,9,5,3,10,2,6,7,1,4]=>[4,1,7,6,2,10,3,5,9,8]
[8,9,5,4,3,2,6,10,1,7]=>[7,1,10,6,2,3,4,5,9,8]
[8,9,6,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,6,9,8]
[8,9,6,4,3,10,2,7,1,5]=>[5,1,7,2,10,3,4,6,9,8]
[8,9,6,5,4,3,2,10,1,7]=>[7,1,10,2,3,4,5,6,9,8]
[9,10,7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7,10,9]
[9,10,7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7,10,9]
[9,10,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,10,9]
[8,7,9,5,3,1,10,6,4,2]=>[2,4,6,10,1,3,5,9,7,8]
[6,5,9,7,3,1,10,8,4,2]=>[2,4,8,10,1,3,7,9,5,6]
[6,8,5,9,7,3,1,10,4,2]=>[2,4,10,1,3,7,9,5,8,6]
[7,6,5,8,9,3,1,10,4,2]=>[2,4,10,1,3,9,8,5,6,7]
[4,3,9,7,5,1,10,8,6,2]=>[2,6,8,10,1,5,7,9,3,4]
[8,7,4,3,9,5,1,10,6,2]=>[2,6,10,1,5,9,3,4,7,8]
[4,6,3,9,7,5,1,10,8,2]=>[2,8,10,1,5,7,9,3,6,4]
[6,4,8,3,9,7,5,1,10,2]=>[2,10,1,5,7,9,3,8,4,6]
[4,7,6,8,3,9,5,1,10,2]=>[2,10,1,5,9,3,8,6,7,4]
[5,4,3,6,9,7,1,10,8,2]=>[2,8,10,1,7,9,6,3,4,5]
[8,5,4,3,6,9,7,1,10,2]=>[2,10,1,7,9,6,3,4,5,8]
[5,4,7,3,8,6,9,1,10,2]=>[2,10,1,9,6,8,3,7,4,5]
[6,5,4,3,7,8,9,1,10,2]=>[2,10,1,9,8,7,3,4,5,6]
[2,1,9,7,5,3,10,8,6,4]=>[4,6,8,10,3,5,7,9,1,2]
[8,7,2,1,9,5,3,10,6,4]=>[4,6,10,3,5,9,1,2,7,8]
[6,5,2,1,9,7,3,10,8,4]=>[4,8,10,3,7,9,1,2,5,6]
[6,8,5,2,1,9,7,3,10,4]=>[4,10,3,7,9,1,2,5,8,6]
[7,6,5,8,2,1,9,3,10,4]=>[4,10,3,9,1,2,8,5,6,7]
[2,4,1,9,7,5,3,10,8,6]=>[6,8,10,3,5,7,9,1,4,2]
[2,8,7,4,1,9,5,3,10,6]=>[6,10,3,5,9,1,4,7,8,2]
[4,2,6,1,9,7,5,3,10,8]=>[8,10,3,5,7,9,1,6,2,4]
[4,7,6,2,8,1,9,5,3,10]=>[10,3,5,9,1,8,2,6,7,4]
[2,5,4,6,1,9,7,3,10,8]=>[8,10,3,7,9,1,6,4,5,2]
[2,8,5,4,6,1,9,7,3,10]=>[10,3,7,9,1,6,4,5,8,2]
[5,4,2,7,8,6,1,9,3,10]=>[10,3,9,1,6,8,7,2,4,5]
[2,6,5,4,7,8,1,9,3,10]=>[10,3,9,1,8,7,4,5,6,2]
[3,2,1,4,9,7,5,10,8,6]=>[6,8,10,5,7,9,4,1,2,3]
[3,2,1,8,7,4,9,5,10,6]=>[6,10,5,9,4,7,8,1,2,3]
[6,3,2,1,4,9,7,5,10,8]=>[8,10,5,7,9,4,1,2,3,6]
[3,6,2,1,8,4,9,7,5,10]=>[10,5,7,9,4,8,1,2,6,3]
[7,3,6,2,1,8,4,9,5,10]=>[10,5,9,4,8,1,2,6,3,7]
[3,2,5,1,6,4,9,7,10,8]=>[8,10,7,9,4,6,1,5,2,3]
[3,2,8,5,1,6,4,9,7,10]=>[10,7,9,4,6,1,5,8,2,3]
[3,2,6,5,7,1,8,4,9,10]=>[10,9,4,8,1,7,5,6,2,3]
[4,3,2,1,5,6,9,7,10,8]=>[8,10,7,9,6,5,1,2,3,4]
[5,3,2,1,8,4,6,9,7,10]=>[10,7,9,6,4,8,1,2,3,5]
[3,7,4,2,1,5,8,6,9,10]=>[10,9,6,8,5,1,2,4,7,3]
[1,3,5,6,7,8,9,10,2,4]=>[4,2,10,9,8,7,6,5,3,1]
[4,10,3,9,8,2,7,6,5,1]=>[1,5,6,7,2,8,9,3,10,4]
[3,4,10,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,10,4,3]
[3,4,2,10,6,7,8,9,1,5]=>[5,1,9,8,7,6,10,2,4,3]
[4,9,10,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,10,9,4]
[2,10,3,4,5,6,7,1,8,9]=>[9,8,1,7,6,5,4,3,10,2]
[2,9,10,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,10,9,2]
[2,8,9,10,3,4,5,7,1,6]=>[6,1,7,5,4,3,10,9,8,2]
[2,7,8,9,10,3,4,1,5,6]=>[6,5,1,4,3,10,9,8,7,2]
[2,6,7,8,9,10,3,5,1,4]=>[4,1,5,3,10,9,8,7,6,2]
[2,5,6,7,8,9,10,4,1,3]=>[3,1,4,10,9,8,7,6,5,2]
[10,7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7,10]
[7,6,5,4,3,2,8,1,9,10]=>[10,9,1,8,2,3,4,5,6,7]
[8,7,6,5,4,9,3,2,10,1]=>[1,10,2,3,9,4,5,6,7,8]
[7,6,5,4,3,8,2,1,9,10]=>[10,9,1,2,8,3,4,5,6,7]
[6,5,4,3,2,7,1,8,9,10]=>[10,9,8,1,7,2,3,4,5,6]
[7,6,5,4,8,3,2,1,9,10]=>[10,9,1,2,3,8,4,5,6,7]
[8,7,6,5,9,4,3,10,2,1]=>[1,2,10,3,4,9,5,6,7,8]
[7,6,5,4,8,3,2,9,1,10]=>[10,1,9,2,3,8,4,5,6,7]
[6,5,4,3,7,2,1,8,9,10]=>[10,9,8,1,2,7,3,4,5,6]
[6,5,4,3,7,2,8,1,9,10]=>[10,9,1,8,2,7,3,4,5,6]
[5,4,3,2,6,1,7,8,9,10]=>[10,9,8,7,1,6,2,3,4,5]
[7,6,5,8,4,3,9,2,1,10]=>[10,1,2,9,3,4,8,5,6,7]
[7,6,5,8,4,3,9,2,10,1]=>[1,10,2,9,3,4,8,5,6,7]
[6,5,4,7,3,2,8,1,9,10]=>[10,9,1,8,2,3,7,4,5,6]
[5,4,3,6,2,1,7,8,9,10]=>[10,9,8,7,1,2,6,3,4,5]
[5,4,3,6,2,7,1,8,9,10]=>[10,9,8,1,7,2,6,3,4,5]
[4,3,2,5,1,6,7,8,9,10]=>[10,9,8,7,6,1,5,2,3,4]
[1,2,9,7,5,10,8,6,4,3]=>[3,4,6,8,10,5,7,9,2,1]
[3,4,9,7,1,10,8,6,5,2]=>[2,5,6,8,10,1,7,9,4,3]
[4,2,9,1,7,10,8,6,5,3]=>[3,5,6,8,10,7,1,9,2,4]
[9,1,2,3,7,10,8,6,5,4]=>[4,5,6,8,10,7,3,2,1,9]
[5,6,9,3,1,10,8,7,4,2]=>[2,4,7,8,10,1,3,9,6,5]
[5,1,6,2,9,10,8,7,4,3]=>[3,4,7,8,10,9,2,6,1,5]
[6,4,9,10,3,1,8,7,5,2]=>[2,5,7,8,1,3,10,9,4,6]
[6,4,2,9,10,8,1,7,5,3]=>[3,5,7,1,8,10,9,2,4,6]
[2,3,6,9,10,8,1,7,5,4]=>[4,5,7,1,8,10,9,6,3,2]
[9,10,3,4,5,1,8,7,6,2]=>[2,6,7,8,1,5,4,3,10,9]
[9,10,4,2,5,8,1,7,6,3]=>[3,6,7,1,8,5,2,4,10,9]
[3,9,10,5,8,1,2,7,6,4]=>[4,6,7,2,1,8,5,10,9,3]
[10,7,8,5,3,1,9,6,4,2]=>[2,4,6,9,1,3,5,8,7,10]
[1,10,7,2,8,5,9,6,4,3]=>[3,4,6,9,5,8,2,7,10,1]
[3,10,7,4,8,1,9,6,5,2]=>[2,5,6,9,1,8,4,7,10,3]
[10,7,1,4,2,8,9,6,5,3]=>[3,5,6,9,8,2,4,1,7,10]
[1,2,3,10,7,8,9,6,5,4]=>[4,5,6,9,8,7,10,3,2,1]
[6,10,8,9,5,3,1,7,4,2]=>[2,4,7,1,3,5,9,8,10,6]
[6,1,10,8,2,9,5,7,4,3]=>[3,4,7,5,9,2,8,10,1,6]
[6,4,10,8,9,7,3,1,5,2]=>[2,5,1,3,7,9,8,10,4,6]
[6,4,2,10,8,9,7,5,1,3]=>[3,1,5,7,9,8,10,2,4,6]
[2,3,6,10,8,9,7,5,1,4]=>[4,1,5,7,9,8,10,6,3,2]
[10,4,5,8,9,7,3,1,6,2]=>[2,6,1,3,7,9,8,5,4,10]
[10,4,5,2,8,9,7,6,1,3]=>[3,1,6,7,9,8,2,5,4,10]
[3,10,5,8,9,2,7,6,1,4]=>[4,1,6,7,2,9,8,5,10,3]
[10,8,9,2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2,9,8,10]
[10,9,5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5,9,10]
[10,9,5,1,6,2,7,8,4,3]=>[3,4,8,7,2,6,1,5,9,10]
[10,9,6,4,7,8,3,1,5,2]=>[2,5,1,3,8,7,4,6,9,10]
[10,9,6,4,2,7,8,5,1,3]=>[3,1,5,8,7,2,4,6,9,10]
[2,3,10,9,6,7,8,5,1,4]=>[4,1,5,8,7,6,9,10,3,2]
[10,5,9,7,8,3,4,1,6,2]=>[2,6,1,4,3,8,7,9,5,10]
[10,5,9,7,2,8,4,6,1,3]=>[3,1,6,4,8,2,7,9,5,10]
[3,10,5,9,7,8,6,1,2,4]=>[4,2,1,6,8,7,9,5,10,3]
[10,9,3,4,7,8,6,1,2,5]=>[5,2,1,6,8,7,4,3,9,10]
[10,9,8,3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3,8,9,10]
[10,9,8,4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4,8,9,10]
[3,10,9,8,5,6,7,1,2,4]=>[4,2,1,7,6,5,8,9,10,3]
[10,9,4,8,6,7,1,2,3,5]=>[5,3,2,1,7,6,8,4,9,10]
[4,5,6,7,8,9,3,2,1,10]=>[10,1,2,3,9,8,7,6,5,4]
[5,6,7,8,9,4,3,2,1,10]=>[10,1,2,3,4,9,8,7,6,5]
[5,9,4,8,3,7,2,6,1,10]=>[10,1,6,2,7,3,8,4,9,5]
[3,6,1,2,9,4,5,10,7,8]=>[8,7,10,5,4,9,2,1,6,3]
[4,5,3,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,3,5,4]
[4,5,6,3,2,7,8,9,10,1]=>[1,10,9,8,7,2,3,6,5,4]
[4,5,6,7,3,2,8,9,10,1]=>[1,10,9,8,2,3,7,6,5,4]
[4,5,6,7,8,3,2,9,10,1]=>[1,10,9,2,3,8,7,6,5,4]
[4,5,6,7,8,9,3,2,10,1]=>[1,10,2,3,9,8,7,6,5,4]
[9,10,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,10,9]
[9,10,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,10,9]
[9,10,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,10,9]
[9,10,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,10,9]
[9,10,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,10,9]
[2,3,7,5,6,1,8,9,10,4]=>[4,10,9,8,1,6,5,7,3,2]
[3,6,5,1,2,7,8,9,10,4]=>[4,10,9,8,7,2,1,5,6,3]
[2,3,4,9,6,7,8,1,10,5]=>[5,10,1,8,7,6,9,4,3,2]
[3,4,8,6,2,7,1,9,10,5]=>[5,10,9,1,7,2,6,8,4,3]
[2,7,4,1,6,3,8,9,10,5]=>[5,10,9,8,3,6,1,4,7,2]
[4,7,1,6,3,2,8,9,10,5]=>[5,10,9,8,2,3,6,1,7,4]
[3,4,5,10,7,1,8,9,2,6]=>[6,2,9,8,1,7,10,5,4,3]
[2,5,4,9,8,7,1,3,10,6]=>[6,10,3,1,7,8,9,4,5,2]
[4,5,2,9,7,3,8,1,10,6]=>[6,10,1,8,3,7,9,2,5,4]
[3,8,5,7,2,4,1,9,10,6]=>[6,10,9,1,4,2,7,5,8,3]
[5,8,1,3,7,4,2,9,10,6]=>[6,10,9,2,4,7,3,1,8,5]
[2,5,4,6,9,3,8,1,10,7]=>[7,10,1,8,3,9,6,4,5,2]
[4,5,2,6,8,1,3,9,10,7]=>[7,10,9,3,1,8,6,2,5,4]
[3,6,5,10,9,8,2,1,4,7]=>[7,4,1,2,8,9,10,5,6,3]
[5,6,2,3,10,8,4,9,1,7]=>[7,1,9,4,8,10,3,2,6,5]
[2,9,4,1,6,3,8,5,10,7]=>[7,10,5,8,3,6,1,4,9,2]
[4,9,6,8,1,2,5,3,10,7]=>[7,10,3,5,2,1,8,6,9,4]
[6,9,1,3,4,8,5,2,10,7]=>[7,10,2,5,8,4,3,1,9,6]
[3,4,6,2,7,9,5,1,10,8]=>[8,10,1,5,9,7,2,6,4,3]
[2,7,4,10,6,3,1,9,5,8]=>[8,5,9,1,3,6,10,4,7,2]
[4,7,6,10,3,9,2,5,1,8]=>[8,1,5,2,9,3,10,6,7,4]
[6,7,1,3,4,9,2,5,10,8]=>[8,10,5,2,9,4,3,1,7,6]
[3,10,5,7,2,9,1,6,4,8]=>[8,4,6,1,9,2,7,5,10,3]
[5,10,7,1,9,4,2,6,3,8]=>[8,3,6,2,4,9,1,7,10,5]
[7,10,1,3,4,5,9,6,2,8]=>[8,2,6,9,5,4,3,1,10,7]
[4,6,8,1,10,2,5,3,7,9]=>[9,7,3,5,2,10,1,8,6,4]
[6,8,10,3,4,1,5,2,7,9]=>[9,7,2,5,1,4,3,10,8,6]
[5,3,4,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,4,3,5]
[6,3,4,5,2,7,8,9,10,1]=>[1,10,9,8,7,2,5,4,3,6]
[7,3,4,5,6,2,8,9,10,1]=>[1,10,9,8,2,6,5,4,3,7]
[8,3,4,5,6,7,2,9,10,1]=>[1,10,9,2,7,6,5,4,3,8]
[9,3,4,5,6,7,8,2,10,1]=>[1,10,2,8,7,6,5,4,3,9]
[1,9,10,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,10,9,1]
[5,4,6,3,7,2,10,9,1,8]=>[8,1,9,10,2,7,3,6,4,5]
[4,5,3,10,8,9,1,7,2,6]=>[6,2,7,1,9,8,10,3,5,4]
[4,5,3,6,2,9,8,1,7,10]=>[10,7,1,8,9,2,6,3,5,4]
[8,9,1,6,10,7,2,5,3,4]=>[4,3,5,2,7,10,6,1,9,8]
[4,3,9,7,8,1,6,2,5,10]=>[10,5,2,6,1,8,7,9,3,4]
[4,3,5,2,8,1,6,10,9,7]=>[7,9,10,6,1,8,2,5,3,4]
[4,3,5,2,8,7,1,6,9,10]=>[10,9,6,1,7,8,2,5,3,4]
[9,1,5,3,4,10,6,8,7,2]=>[2,7,8,6,10,4,3,5,1,9]
[7,8,1,5,9,6,2,4,3,10]=>[10,3,4,2,6,9,5,1,8,7]
[3,8,1,5,2,4,10,9,6,7]=>[7,6,9,10,4,2,5,1,8,3]
[3,8,6,7,1,5,2,4,9,10]=>[10,9,4,2,5,1,7,6,8,3]
[3,4,2,7,1,5,9,8,6,10]=>[10,6,8,9,5,1,7,2,4,3]
[3,4,2,7,6,1,5,8,9,10]=>[10,9,8,5,1,6,7,2,4,3]
[3,6,10,9,5,2,8,1,4,7]=>[7,4,1,8,2,5,9,10,6,3]
[3,6,7,1,4,8,5,2,9,10]=>[10,9,2,5,8,4,1,7,6,3]
[6,9,5,2,3,7,10,8,1,4]=>[4,1,8,10,7,3,2,5,9,6]
[7,1,4,2,3,9,8,5,6,10]=>[10,6,5,8,9,3,2,4,1,7]
[7,5,6,1,4,2,3,8,9,10]=>[10,9,8,3,2,4,1,6,5,7]
[3,2,8,5,10,9,7,1,4,6]=>[6,4,1,7,9,10,5,8,2,3]
[3,2,6,1,4,8,7,5,9,10]=>[10,9,5,7,8,4,1,6,2,3]
[3,2,6,5,1,4,7,8,9,10]=>[10,9,8,7,4,1,5,6,2,3]
[5,8,4,2,6,9,7,1,3,10]=>[10,3,1,7,9,6,2,4,8,5]
[8,4,5,10,9,7,1,3,2,6]=>[6,2,3,1,7,9,10,5,4,8]
[6,1,3,2,8,7,4,5,9,10]=>[10,9,5,4,7,8,2,3,1,6]
[6,4,5,1,3,2,7,8,9,10]=>[10,9,8,7,2,3,1,5,4,6]
[2,7,4,9,8,6,1,3,5,10]=>[10,5,3,1,6,8,9,4,7,2]
[2,5,1,3,7,6,4,8,9,10]=>[10,9,8,4,6,7,3,1,5,2]
[2,5,4,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,4,5,2]
[6,3,8,7,5,1,2,4,9,10]=>[10,9,4,2,1,5,7,8,3,6]
[4,1,2,6,5,3,7,8,9,10]=>[10,9,8,7,3,5,6,2,1,4]
[1,10,9,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,9,10,1]
[1,8,7,6,5,4,9,3,10,2]=>[2,10,3,9,4,5,6,7,8,1]
[1,7,6,5,4,8,3,10,2,9]=>[9,2,10,3,8,4,5,6,7,1]
[1,7,6,5,8,4,10,3,9,2]=>[2,9,3,10,4,8,5,6,7,1]
[1,10,9,5,8,4,7,3,6,2]=>[2,6,3,7,4,8,5,9,10,1]
[1,10,9,8,7,6,2,4,5,3]=>[3,5,4,2,6,7,8,9,10,1]
[1,8,7,6,5,2,9,4,10,3]=>[3,10,4,9,2,5,6,7,8,1]
[1,7,6,5,2,8,4,10,3,9]=>[9,3,10,4,8,2,5,6,7,1]
[1,7,6,2,8,5,10,4,9,3]=>[3,9,4,10,5,8,2,6,7,1]
[1,10,2,6,9,5,8,4,7,3]=>[3,7,4,8,5,9,6,2,10,1]
[1,2,6,10,5,9,4,8,3,7]=>[7,3,8,4,9,5,10,6,2,1]
[9,7,8,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,8,7,9]
[9,7,8,5,6,10,3,4,1,2]=>[2,1,4,3,10,6,5,8,7,9]
[9,7,8,5,6,3,4,10,1,2]=>[2,1,10,4,3,6,5,8,7,9]
[9,7,8,5,6,3,4,2,10,1]=>[1,10,2,4,3,6,5,8,7,9]
[9,7,8,5,6,4,10,2,3,1]=>[1,3,2,10,4,6,5,8,7,9]
[9,7,8,6,10,4,5,2,3,1]=>[1,3,2,5,4,10,6,8,7,9]
[7,4,3,2,6,5,1,9,8,10]=>[10,8,9,1,5,6,2,3,4,7]
[4,3,2,1,9,7,6,8,5,10]=>[10,5,8,6,7,9,1,2,3,4]
[7,4,3,2,9,6,1,8,5,10]=>[10,5,8,1,6,9,2,3,4,7]
[9,4,3,2,8,7,6,5,1,10]=>[10,1,5,6,7,8,2,3,4,9]
[7,6,4,3,9,2,1,8,5,10]=>[10,5,8,1,2,9,3,4,6,7]
[7,4,3,2,6,5,1,10,9,8]=>[8,9,10,1,5,6,2,3,4,7]
[7,4,3,2,9,6,1,10,5,8]=>[8,5,10,1,6,9,2,3,4,7]
[9,4,3,2,7,6,5,10,1,8]=>[8,1,10,5,6,7,2,3,4,9]
[7,4,3,2,10,6,1,9,8,5]=>[5,8,9,1,6,10,2,3,4,7]
[9,4,3,2,10,7,6,8,1,5]=>[5,1,8,6,7,10,2,3,4,9]
[10,4,3,2,9,7,6,8,5,1]=>[1,5,8,6,7,9,2,3,4,10]
[9,7,4,3,10,6,2,8,1,5]=>[5,1,8,2,6,10,3,4,7,9]
[10,7,4,3,9,6,2,8,5,1]=>[1,5,8,2,6,9,3,4,7,10]
[10,4,3,2,9,8,7,6,5,1]=>[1,5,6,7,8,9,2,3,4,10]
[9,7,6,4,10,3,2,8,1,5]=>[5,1,8,2,3,10,4,6,7,9]
[6,1,2,7,4,5,3,9,8,10]=>[10,8,9,3,5,4,7,2,1,6]
[4,1,2,3,8,5,9,7,6,10]=>[10,6,7,9,5,8,3,2,1,4]
[6,1,2,8,4,3,9,7,5,10]=>[10,5,7,9,3,4,8,2,1,6]
[8,1,2,7,4,9,6,5,3,10]=>[10,3,5,6,9,4,7,2,1,8]
[6,1,8,3,2,5,9,7,4,10]=>[10,4,7,9,5,2,3,8,1,6]
[8,1,7,3,2,9,6,4,5,10]=>[10,5,4,6,9,2,3,7,1,8]
[4,1,2,3,7,5,6,9,10,8]=>[8,10,9,6,5,7,3,2,1,4]
[6,1,2,7,4,5,3,9,10,8]=>[8,10,9,3,5,4,7,2,1,6]
[4,1,2,3,8,5,9,6,10,7]=>[7,10,6,9,5,8,3,2,1,4]
[6,1,2,8,4,3,9,5,10,7]=>[7,10,5,9,3,4,8,2,1,6]
[7,1,2,8,4,9,5,3,10,6]=>[6,10,3,5,9,4,8,2,1,7]
[6,1,8,3,2,5,9,4,10,7]=>[7,10,4,9,5,2,3,8,1,6]
[7,1,8,3,2,9,4,5,10,6]=>[6,10,5,4,9,2,3,8,1,7]
[4,1,2,3,9,5,8,10,7,6]=>[6,7,10,8,5,9,3,2,1,4]
[6,1,2,9,4,3,8,10,7,5]=>[5,7,10,8,3,4,9,2,1,6]
[7,1,2,9,4,8,3,10,6,5]=>[5,6,10,3,8,4,9,2,1,7]
[9,1,2,8,4,7,10,6,5,3]=>[3,5,6,10,7,4,8,2,1,9]
[6,1,9,3,2,5,8,10,7,4]=>[4,7,10,8,5,2,3,9,1,6]
[7,1,9,3,2,8,5,10,6,4]=>[4,6,10,5,8,2,3,9,1,7]
[9,1,8,3,2,7,10,6,4,5]=>[5,4,6,10,7,2,3,8,1,9]
[4,1,2,3,8,9,5,7,10,6]=>[6,10,7,5,9,8,3,2,1,4]
[5,1,2,8,3,9,4,7,10,6]=>[6,10,7,4,9,3,8,2,1,5]
[7,1,2,8,9,4,6,3,10,5]=>[5,10,3,6,4,9,8,2,1,7]
[5,1,8,2,4,9,3,7,10,6]=>[6,10,7,3,9,4,2,8,1,5]
[4,1,2,3,9,8,5,10,6,7]=>[7,6,10,5,8,9,3,2,1,4]
[5,1,2,9,3,8,4,10,6,7]=>[7,6,10,4,8,3,9,2,1,5]
[7,1,2,9,8,4,3,10,5,6]=>[6,5,10,3,4,8,9,2,1,7]
[9,1,2,8,7,4,10,5,6,3]=>[3,6,5,10,4,7,8,2,1,9]
[5,1,9,2,4,8,3,10,6,7]=>[7,6,10,3,8,4,2,9,1,5]
[7,1,9,2,8,3,4,10,5,6]=>[6,5,10,4,3,8,2,9,1,7]
[9,1,8,2,7,3,10,5,6,4]=>[4,6,5,10,3,7,2,8,1,9]
[7,1,9,8,3,2,6,10,4,5]=>[5,4,10,6,2,3,8,9,1,7]
[9,1,8,7,3,2,10,4,5,6]=>[6,5,4,10,2,3,7,8,1,9]
[5,8,1,3,4,9,2,7,10,6]=>[6,10,7,2,9,4,3,1,8,5]
[7,8,1,3,9,2,6,4,10,5]=>[5,10,4,6,2,9,3,1,8,7]
[5,9,1,3,4,8,2,10,6,7]=>[7,6,10,2,8,4,3,1,9,5]
[7,9,1,3,8,2,4,10,5,6]=>[6,5,10,4,2,8,3,1,9,7]
[9,8,1,3,7,2,10,5,6,4]=>[4,6,5,10,2,7,3,1,8,9]
[7,9,1,8,2,3,6,10,4,5]=>[5,4,10,6,3,2,8,1,9,7]
[8,6,5,4,3,2,1,10,7,9]=>[9,7,10,1,2,3,4,5,6,8]
[2,4,6,1,3,5,8,7,10,9]=>[9,10,7,8,5,3,1,6,4,2]
[7,5,3,1,2,4,6,8,9,10]=>[10,9,8,6,4,2,1,3,5,7]
[5,3,1,2,4,6,7,8,9,10]=>[10,9,8,7,6,4,2,1,3,5]
[9,8,3,10,7,6,5,4,2,1]=>[1,2,4,5,6,7,10,3,8,9]
[8,1,3,10,9,7,6,5,4,2]=>[2,4,5,6,7,9,10,3,1,8]
[9,8,7,4,10,6,5,3,2,1]=>[1,2,3,5,6,10,4,7,8,9]
[8,1,9,4,10,7,6,5,3,2]=>[2,3,5,6,7,10,4,9,1,8]
[8,3,9,2,10,7,6,5,4,1]=>[1,4,5,6,7,10,2,9,3,8]
[7,1,2,4,10,9,8,6,5,3]=>[3,5,6,8,9,10,4,2,1,7]
[8,1,9,7,5,10,6,4,3,2]=>[2,3,4,6,10,5,7,9,1,8]
[8,7,9,2,4,10,6,5,3,1]=>[1,3,5,6,10,4,2,9,7,8]
[7,1,2,9,5,10,8,6,4,3]=>[3,4,6,8,10,5,9,2,1,7]
[7,8,2,1,4,10,9,6,5,3]=>[3,5,6,9,10,4,1,2,8,7]
[8,7,9,2,6,5,10,4,3,1]=>[1,3,4,10,5,6,2,9,7,8]
[7,1,2,9,8,6,10,5,4,3]=>[3,4,5,10,6,8,9,2,1,7]
[8,7,5,9,6,3,10,4,2,1]=>[1,2,4,10,3,6,9,5,7,8]
[7,8,5,1,3,6,10,9,4,2]=>[2,4,9,10,6,3,1,5,8,7]
[6,1,2,3,9,7,10,8,5,4]=>[4,5,8,10,7,9,3,2,1,6]
[7,4,8,3,9,2,10,6,5,1]=>[1,5,6,10,2,9,3,8,4,7]
[5,1,2,3,4,7,10,9,8,6]=>[6,8,9,10,7,4,3,2,1,5]
[7,8,5,4,1,9,6,10,3,2]=>[2,3,10,6,9,1,4,5,8,7]
[7,6,8,3,9,2,5,10,4,1]=>[1,4,10,5,2,9,3,8,6,7]
[6,7,1,5,2,4,9,10,8,3]=>[3,8,10,9,4,2,5,1,7,6]
[5,1,2,3,4,9,8,10,7,6]=>[6,7,10,8,9,4,3,2,1,5]
[5,6,1,2,4,3,8,10,9,7]=>[7,9,10,8,3,4,2,1,6,5]
[4,1,2,3,5,6,8,10,9,7]=>[7,9,10,8,6,5,3,2,1,4]
[5,6,7,2,1,4,3,9,10,8]=>[8,10,9,3,4,1,2,7,6,5]
[4,5,1,2,3,7,6,9,10,8]=>[8,10,9,6,7,3,2,1,5,4]
[3,1,2,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,2,1,3]
[2,4,5,7,8,9,6,10,3,1]=>[1,3,10,6,9,8,7,5,4,2]
[2,4,5,7,8,9,10,3,6,1]=>[1,6,3,10,9,8,7,5,4,2]
[2,4,5,7,8,9,3,10,6,1]=>[1,6,10,3,9,8,7,5,4,2]
[2,4,5,7,8,9,3,6,10,1]=>[1,10,6,3,9,8,7,5,4,2]
[2,4,5,7,8,3,9,10,6,1]=>[1,6,10,9,3,8,7,5,4,2]
[2,4,5,7,8,3,9,6,10,1]=>[1,10,6,9,3,8,7,5,4,2]
[2,4,5,7,8,9,10,6,1,3]=>[3,1,6,10,9,8,7,5,4,2]
[2,4,5,7,8,9,6,10,1,3]=>[3,1,10,6,9,8,7,5,4,2]
[2,4,5,7,8,9,10,1,6,3]=>[3,6,1,10,9,8,7,5,4,2]
[2,4,5,7,8,9,1,10,6,3]=>[3,6,10,1,9,8,7,5,4,2]
[2,4,5,7,8,9,1,6,10,3]=>[3,10,6,1,9,8,7,5,4,2]
[2,4,5,7,8,1,9,10,6,3]=>[3,6,10,9,1,8,7,5,4,2]
[2,4,5,7,8,1,9,6,10,3]=>[3,10,6,9,1,8,7,5,4,2]
[2,4,5,7,8,9,1,10,3,6]=>[6,3,10,1,9,8,7,5,4,2]
[2,4,5,7,8,9,1,3,10,6]=>[6,10,3,1,9,8,7,5,4,2]
[2,4,5,7,8,9,1,3,6,10]=>[10,6,3,1,9,8,7,5,4,2]
[2,4,5,7,8,1,9,10,3,6]=>[6,3,10,9,1,8,7,5,4,2]
[2,4,5,7,8,1,9,3,10,6]=>[6,10,3,9,1,8,7,5,4,2]
[2,4,5,7,8,1,9,3,6,10]=>[10,6,3,9,1,8,7,5,4,2]
[2,4,1,7,8,9,10,5,6,3]=>[3,6,5,10,9,8,7,1,4,2]
[2,4,1,7,8,9,5,10,6,3]=>[3,6,10,5,9,8,7,1,4,2]
[2,4,1,7,8,9,5,6,10,3]=>[3,10,6,5,9,8,7,1,4,2]
[2,4,1,7,8,5,9,10,6,3]=>[3,6,10,9,5,8,7,1,4,2]
[2,4,1,7,8,5,9,6,10,3]=>[3,10,6,9,5,8,7,1,4,2]
[2,4,1,7,8,9,10,5,3,6]=>[6,3,5,10,9,8,7,1,4,2]
[2,4,1,7,8,9,5,10,3,6]=>[6,3,10,5,9,8,7,1,4,2]
[2,4,1,7,8,9,5,3,10,6]=>[6,10,3,5,9,8,7,1,4,2]
[2,4,1,7,8,9,5,3,6,10]=>[10,6,3,5,9,8,7,1,4,2]
[2,4,1,7,8,5,9,10,3,6]=>[6,3,10,9,5,8,7,1,4,2]
[2,4,1,7,8,5,9,3,10,6]=>[6,10,3,9,5,8,7,1,4,2]
[2,4,1,7,8,5,9,3,6,10]=>[10,6,3,9,5,8,7,1,4,2]
[2,4,1,7,8,5,3,9,10,6]=>[6,10,9,3,5,8,7,1,4,2]
[2,4,1,7,8,5,3,9,6,10]=>[10,6,9,3,5,8,7,1,4,2]
[2,4,1,7,5,8,9,10,6,3]=>[3,6,10,9,8,5,7,1,4,2]
[2,4,1,7,5,8,9,6,10,3]=>[3,10,6,9,8,5,7,1,4,2]
[2,4,1,7,5,8,9,10,3,6]=>[6,3,10,9,8,5,7,1,4,2]
[2,4,1,7,5,8,9,3,10,6]=>[6,10,3,9,8,5,7,1,4,2]
[2,4,1,7,5,8,9,3,6,10]=>[10,6,3,9,8,5,7,1,4,2]
[2,4,1,7,5,8,3,9,10,6]=>[6,10,9,3,8,5,7,1,4,2]
[10,9,8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8,9,10]
[10,9,8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8,9,10]
[10,5,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,5,10]
[10,1,9,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,9,1,10]
[10,1,9,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,9,1,10]
[2,1,4,3,6,5,10,8,7,9]=>[9,7,8,10,5,6,3,4,1,2]
[2,1,4,3,8,6,5,7,10,9]=>[9,10,7,5,6,8,3,4,1,2]
[2,1,4,3,10,6,5,8,7,9]=>[9,7,8,5,6,10,3,4,1,2]
[2,1,4,3,10,8,6,5,7,9]=>[9,7,5,6,8,10,3,4,1,2]
[2,1,6,4,3,5,8,7,10,9]=>[9,10,7,8,5,3,4,6,1,2]
[2,1,6,4,3,5,10,8,7,9]=>[9,7,8,10,5,3,4,6,1,2]
[2,1,8,4,3,6,5,7,10,9]=>[9,10,7,5,6,3,4,8,1,2]
[2,1,10,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,10,1,2]
[2,1,10,4,3,8,6,5,7,9]=>[9,7,5,6,8,3,4,10,1,2]
[2,1,8,6,4,3,5,7,10,9]=>[9,10,7,5,3,4,6,8,1,2]
[2,1,10,6,4,3,5,8,7,9]=>[9,7,8,5,3,4,6,10,1,2]
[2,1,10,8,4,3,6,5,7,9]=>[9,7,5,6,3,4,8,10,1,2]
[2,1,10,8,6,4,3,5,7,9]=>[9,7,5,3,4,6,8,10,1,2]
[4,2,1,3,6,5,10,8,7,9]=>[9,7,8,10,5,6,3,1,2,4]
[4,2,1,3,8,6,5,7,10,9]=>[9,10,7,5,6,8,3,1,2,4]
[4,2,1,3,10,6,5,8,7,9]=>[9,7,8,5,6,10,3,1,2,4]
[4,2,1,3,10,8,6,5,7,9]=>[9,7,5,6,8,10,3,1,2,4]
[6,2,1,4,3,5,10,8,7,9]=>[9,7,8,10,5,3,4,1,2,6]
[10,2,1,4,3,8,6,5,7,9]=>[9,7,5,6,8,3,4,1,2,10]
[8,2,1,6,4,3,5,7,10,9]=>[9,10,7,5,3,4,6,1,2,8]
[10,2,1,6,4,3,5,8,7,9]=>[9,7,8,5,3,4,6,1,2,10]
[10,2,1,8,6,4,3,5,7,9]=>[9,7,5,3,4,6,8,1,2,10]
[6,4,2,1,3,5,10,8,7,9]=>[9,7,8,10,5,3,1,2,4,6]
[8,4,2,1,3,6,5,7,10,9]=>[9,10,7,5,6,3,1,2,4,8]
[10,4,2,1,3,6,5,8,7,9]=>[9,7,8,5,6,3,1,2,4,10]
[10,4,2,1,3,8,6,5,7,9]=>[9,7,5,6,8,3,1,2,4,10]
[8,6,2,1,4,3,5,7,10,9]=>[9,10,7,5,3,4,1,2,6,8]
[10,6,2,1,4,3,5,8,7,9]=>[9,7,8,5,3,4,1,2,6,10]
[10,8,2,1,4,3,6,5,7,9]=>[9,7,5,6,3,4,1,2,8,10]
[10,8,2,1,6,4,3,5,7,9]=>[9,7,5,3,4,6,1,2,8,10]
[10,6,4,2,1,3,5,8,7,9]=>[9,7,8,5,3,1,2,4,6,10]
[10,8,4,2,1,3,6,5,7,9]=>[9,7,5,6,3,1,2,4,8,10]
[10,9,8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8,9,10]
[10,9,8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8,9,10]
[10,9,8,7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7,8,9,10]
[1,3,10,7,8,9,4,5,6,2]=>[2,6,5,4,9,8,7,10,3,1]
[1,6,10,7,8,9,4,5,2,3]=>[3,2,5,4,9,8,7,10,6,1]
[1,6,10,7,8,4,5,9,2,3]=>[3,2,9,5,4,8,7,10,6,1]
[1,10,7,8,9,4,5,2,3,6]=>[6,3,2,5,4,9,8,7,10,1]
[1,6,10,7,4,5,8,9,2,3]=>[3,2,9,8,5,4,7,10,6,1]
[1,10,7,8,4,5,9,2,3,6]=>[6,3,2,9,5,4,8,7,10,1]
[3,6,10,7,8,9,4,5,2,1]=>[1,2,5,4,9,8,7,10,6,3]
[3,10,7,8,9,4,5,6,2,1]=>[1,2,6,5,4,9,8,7,10,3]
[3,6,10,7,8,9,4,2,5,1]=>[1,5,2,4,9,8,7,10,6,3]
[3,6,10,7,8,4,5,2,9,1]=>[1,9,2,5,4,8,7,10,6,3]
[3,10,7,8,9,4,2,5,6,1]=>[1,6,5,2,4,9,8,7,10,3]
[3,6,10,7,4,5,8,2,9,1]=>[1,9,2,8,5,4,7,10,6,3]
[3,10,7,8,4,5,2,9,6,1]=>[1,6,9,2,5,4,8,7,10,3]
[6,10,7,8,9,4,5,2,1,3]=>[3,1,2,5,4,9,8,7,10,6]
[6,10,7,8,4,5,9,2,1,3]=>[3,1,2,9,5,4,8,7,10,6]
[6,10,7,8,4,5,2,9,1,3]=>[3,1,9,2,5,4,8,7,10,6]
[10,7,8,9,4,5,2,1,3,6]=>[6,3,1,2,5,4,9,8,7,10]
[6,10,7,4,5,8,9,2,1,3]=>[3,1,2,9,8,5,4,7,10,6]
[6,10,7,4,5,8,2,9,1,3]=>[3,1,9,2,8,5,4,7,10,6]
[10,7,8,4,5,9,2,1,3,6]=>[6,3,1,2,9,5,4,8,7,10]
[3,6,10,7,8,9,2,4,5,1]=>[1,5,4,2,9,8,7,10,6,3]
[3,6,10,7,8,4,2,9,5,1]=>[1,5,9,2,4,8,7,10,6,3]
[3,10,7,8,9,2,4,5,6,1]=>[1,6,5,4,2,9,8,7,10,3]
[3,6,10,7,4,8,2,9,5,1]=>[1,5,9,2,8,4,7,10,6,3]
[3,10,7,8,4,2,9,5,6,1]=>[1,6,5,9,2,4,8,7,10,3]
[6,10,7,8,9,4,2,5,1,3]=>[3,1,5,2,4,9,8,7,10,6]
[6,10,7,8,4,9,2,5,1,3]=>[3,1,5,2,9,4,8,7,10,6]
[6,10,7,8,4,2,5,9,1,3]=>[3,1,9,5,2,4,8,7,10,6]
[10,7,8,9,4,2,5,1,3,6]=>[6,3,1,5,2,4,9,8,7,10]
[6,10,7,4,8,9,2,5,1,3]=>[3,1,5,2,9,8,4,7,10,6]
[6,10,7,4,8,2,5,9,1,3]=>[3,1,9,5,2,8,4,7,10,6]
[10,7,8,4,9,2,5,1,3,6]=>[6,3,1,5,2,9,4,8,7,10]
[6,10,7,4,2,5,8,9,1,3]=>[3,1,9,8,5,2,4,7,10,6]
[10,7,8,4,2,5,9,1,3,6]=>[6,3,1,9,5,2,4,8,7,10]
[3,6,10,4,7,8,2,9,5,1]=>[1,5,9,2,8,7,4,10,6,3]
[3,10,7,4,8,2,9,5,6,1]=>[1,6,5,9,2,8,4,7,10,3]
[6,10,4,7,8,9,2,5,1,3]=>[3,1,5,2,9,8,7,4,10,6]
[6,10,4,7,8,2,5,9,1,3]=>[3,1,9,5,2,8,7,4,10,6]
[10,7,4,8,9,2,5,1,3,6]=>[6,3,1,5,2,9,8,4,7,10]
[6,10,4,7,2,5,8,9,1,3]=>[3,1,9,8,5,2,7,4,10,6]
[10,4,9,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,9,4,10]
[4,10,5,9,2,6,8,1,3,7]=>[7,3,1,8,6,2,9,5,10,4]
[10,2,4,9,3,5,8,1,6,7]=>[7,6,1,8,5,3,9,4,2,10]
[4,10,2,5,9,3,8,1,6,7]=>[7,6,1,8,3,9,5,2,10,4]
[2,4,10,3,5,9,6,8,1,7]=>[7,1,8,6,9,5,3,10,4,2]
[5,4,10,2,9,3,8,1,6,7]=>[7,6,1,8,3,9,2,10,4,5]
[5,2,4,10,3,9,6,8,1,7]=>[7,1,8,6,9,3,10,4,2,5]
[10,4,9,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,9,4,10]
[4,10,5,9,1,2,6,8,3,7]=>[7,3,8,6,2,1,9,5,10,4]
[10,2,4,9,1,5,8,3,6,7]=>[7,6,3,8,5,1,9,4,2,10]
[4,10,2,5,9,1,8,3,6,7]=>[7,6,3,8,1,9,5,2,10,4]
[2,4,10,5,9,1,6,8,3,7]=>[7,3,8,6,1,9,5,10,4,2]
[5,4,10,2,9,1,8,3,6,7]=>[7,6,3,8,1,9,2,10,4,5]
[5,2,4,10,9,1,6,8,3,7]=>[7,3,8,6,1,9,10,4,2,5]
[10,1,2,4,9,3,5,8,6,7]=>[7,6,8,5,3,9,4,2,1,10]
[4,10,1,2,5,9,3,8,6,7]=>[7,6,8,3,9,5,2,1,10,4]
[2,4,10,1,5,9,3,8,6,7]=>[7,6,8,3,9,5,1,10,4,2]
[1,2,4,10,3,5,9,6,8,7]=>[7,8,6,9,5,3,10,4,2,1]
[5,4,10,1,2,9,3,8,6,7]=>[7,6,8,3,9,2,1,10,4,5]
[5,2,4,10,1,9,3,8,6,7]=>[7,6,8,3,9,1,10,4,2,5]
[5,1,2,4,10,3,9,6,8,7]=>[7,8,6,9,3,10,4,2,1,5]
[2,10,4,9,1,5,8,3,6,7]=>[7,6,3,8,5,1,9,4,10,2]
[2,4,10,9,1,5,8,3,6,7]=>[7,6,3,8,5,1,9,10,4,2]
[4,2,10,5,9,1,6,8,3,7]=>[7,3,8,6,1,9,5,10,2,4]
[10,2,9,5,1,4,8,3,6,7]=>[7,6,3,8,4,1,5,9,2,10]
[2,10,5,4,9,1,6,8,3,7]=>[7,3,8,6,1,9,4,5,10,2]
[2,10,1,4,9,3,5,8,6,7]=>[7,6,8,5,3,9,4,1,10,2]
[2,4,10,1,9,3,5,8,6,7]=>[7,6,8,5,3,9,1,10,4,2]
[4,2,10,1,5,9,3,8,6,7]=>[7,6,8,3,9,5,1,10,2,4]
[4,1,2,10,3,5,9,6,8,7]=>[7,8,6,9,5,3,10,2,1,4]
[10,2,9,1,5,3,4,8,6,7]=>[7,6,8,4,3,5,1,9,2,10]
[2,10,5,1,4,9,3,8,6,7]=>[7,6,8,3,9,4,1,5,10,2]
[2,10,1,5,3,4,9,6,8,7]=>[7,8,6,9,4,3,5,1,10,2]
[5,4,2,10,1,9,3,8,6,7]=>[7,6,8,3,9,1,10,2,4,5]
[5,4,1,2,10,3,9,6,8,7]=>[7,8,6,9,3,10,2,1,4,5]
[10,2,9,5,8,1,6,3,4,7]=>[7,4,3,6,1,8,5,9,2,10]
[2,10,5,9,6,1,4,8,3,7]=>[7,3,8,4,1,6,9,5,10,2]
[10,2,9,1,5,8,3,6,4,7]=>[7,4,6,3,8,5,1,9,2,10]
[2,10,5,9,1,8,3,6,4,7]=>[7,4,6,3,8,1,9,5,10,2]
[2,10,1,5,9,3,6,4,8,7]=>[7,8,4,6,3,9,5,1,10,2]
[5,2,10,9,1,8,3,6,4,7]=>[7,4,6,3,8,1,9,10,2,5]
[5,2,10,1,9,3,6,4,8,7]=>[7,8,4,6,3,9,1,10,2,5]
[10,1,2,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,2,1,10]
[3,4,10,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,10,4,3]
[4,1,5,10,3,2,6,7,8,9]=>[9,8,7,6,2,3,10,5,1,4]
[6,1,2,10,5,3,4,7,8,9]=>[9,8,7,4,3,5,10,2,1,6]
[6,1,2,3,7,10,5,4,8,9]=>[9,8,4,5,10,7,3,2,1,6]
[7,1,2,3,4,8,10,6,5,9]=>[9,5,6,10,8,4,3,2,1,7]
[9,1,2,3,4,5,10,8,6,7]=>[7,6,8,10,5,4,3,2,1,9]
[10,8,7,5,4,3,2,1,6,9]=>[9,6,1,2,3,4,5,7,8,10]
[8,7,5,4,3,2,1,6,9,10]=>[10,9,6,1,2,3,4,5,7,8]
[9,7,5,4,3,2,1,6,8,10]=>[10,8,6,1,2,3,4,5,7,9]
[8,7,6,4,3,2,1,5,9,10]=>[10,9,5,1,2,3,4,6,7,8]
[10,9,7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7,9,10]
[9,7,6,4,3,2,1,5,8,10]=>[10,8,5,1,2,3,4,6,7,9]
[7,6,4,3,2,1,5,8,9,10]=>[10,9,8,5,1,2,3,4,6,7]
[8,6,4,3,2,1,5,7,9,10]=>[10,9,7,5,1,2,3,4,6,8]
[9,8,6,5,3,2,1,4,7,10]=>[10,7,4,1,2,3,5,6,8,9]
[10,8,6,5,3,2,1,4,7,9]=>[9,7,4,1,2,3,5,6,8,10]
[8,6,5,3,2,1,4,7,9,10]=>[10,9,7,4,1,2,3,5,6,8]
[6,5,3,2,1,4,7,8,9,10]=>[10,9,8,7,4,1,2,3,5,6]
[9,7,5,3,2,1,4,6,8,10]=>[10,8,6,4,1,2,3,5,7,9]
[7,5,3,2,1,4,6,8,9,10]=>[10,9,8,6,4,1,2,3,5,7]
[8,6,4,2,1,3,5,7,9,10]=>[10,9,7,5,3,1,2,4,6,8]
[6,4,2,1,3,5,7,8,9,10]=>[10,9,8,7,5,3,1,2,4,6]
[3,5,4,7,6,9,8,10,2,1]=>[1,2,10,8,9,6,7,4,5,3]
[3,5,4,7,6,8,9,2,10,1]=>[1,10,2,9,8,6,7,4,5,3]
[3,5,4,6,9,7,8,10,2,1]=>[1,2,10,8,7,9,6,4,5,3]
[3,5,4,6,8,7,9,2,10,1]=>[1,10,2,9,7,8,6,4,5,3]
[3,5,4,6,7,8,2,9,10,1]=>[1,10,9,2,8,7,6,4,5,3]
[3,4,7,5,6,9,8,10,2,1]=>[1,2,10,8,9,6,5,7,4,3]
[3,4,7,5,6,8,9,2,10,1]=>[1,10,2,9,8,6,5,7,4,3]
[3,4,6,5,9,7,8,10,2,1]=>[1,2,10,8,7,9,5,6,4,3]
[3,4,6,5,8,7,9,2,10,1]=>[1,10,2,9,7,8,5,6,4,3]
[3,4,6,5,7,8,2,9,10,1]=>[1,10,9,2,8,7,5,6,4,3]
[3,4,5,9,6,7,8,10,2,1]=>[1,2,10,8,7,6,9,5,4,3]
[3,4,5,8,6,7,9,2,10,1]=>[1,10,2,9,7,6,8,5,4,3]
[3,4,5,7,6,8,2,9,10,1]=>[1,10,9,2,8,6,7,5,4,3]
[2,5,4,7,6,9,8,10,1,3]=>[3,1,10,8,9,6,7,4,5,2]
[2,5,4,7,6,8,9,1,10,3]=>[3,10,1,9,8,6,7,4,5,2]
[2,5,4,6,9,7,8,10,1,3]=>[3,1,10,8,7,9,6,4,5,2]
[2,5,4,6,8,7,9,1,10,3]=>[3,10,1,9,7,8,6,4,5,2]
[2,5,4,6,7,8,1,9,10,3]=>[3,10,9,1,8,7,6,4,5,2]
[2,4,7,5,6,9,8,10,1,3]=>[3,1,10,8,9,6,5,7,4,2]
[2,4,7,5,6,8,9,1,10,3]=>[3,10,1,9,8,6,5,7,4,2]
[2,4,6,5,9,7,8,10,1,3]=>[3,1,10,8,7,9,5,6,4,2]
[2,4,6,5,8,7,9,1,10,3]=>[3,10,1,9,7,8,5,6,4,2]
[2,4,6,5,7,8,1,9,10,3]=>[3,10,9,1,8,7,5,6,4,2]
[2,4,5,9,6,7,8,10,1,3]=>[3,1,10,8,7,6,9,5,4,2]
[2,4,5,8,6,7,9,1,10,3]=>[3,10,1,9,7,6,8,5,4,2]
[2,4,5,7,6,8,1,9,10,3]=>[3,10,9,1,8,6,7,5,4,2]
[2,4,5,6,7,1,8,9,10,3]=>[3,10,9,8,1,7,6,5,4,2]
[2,3,7,5,6,9,8,10,4,1]=>[1,4,10,8,9,6,5,7,3,2]
[2,3,7,5,6,8,9,4,10,1]=>[1,10,4,9,8,6,5,7,3,2]
[2,3,6,5,9,7,8,10,4,1]=>[1,4,10,8,7,9,5,6,3,2]
[2,3,6,5,8,7,9,4,10,1]=>[1,10,4,9,7,8,5,6,3,2]
[2,3,5,9,6,7,8,10,4,1]=>[1,4,10,8,7,6,9,5,3,2]
[2,3,5,8,6,7,9,4,10,1]=>[1,10,4,9,7,6,8,5,3,2]
[2,3,5,7,6,8,4,9,10,1]=>[1,10,9,4,8,6,7,5,3,2]
[2,3,5,6,7,4,8,9,10,1]=>[1,10,9,8,4,7,6,5,3,2]
[2,3,4,8,6,7,9,1,10,5]=>[5,10,1,9,7,6,8,4,3,2]
[2,3,4,7,6,8,1,9,10,5]=>[5,10,9,1,8,6,7,4,3,2]
[2,3,4,6,7,1,8,9,10,5]=>[5,10,9,8,1,7,6,4,3,2]
[4,5,1,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,1,5,4]
[4,5,6,7,1,8,9,10,2,3]=>[3,2,10,9,8,1,7,6,5,4]
[4,5,6,7,8,1,9,10,2,3]=>[3,2,10,9,1,8,7,6,5,4]
[1,2,9,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,9,2,1]
[1,2,8,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,8,2,1]
[10,4,9,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,9,4,10]
[10,4,9,3,8,2,1,7,6,5]=>[5,6,7,1,2,8,3,9,4,10]
[10,4,9,3,2,8,7,1,6,5]=>[5,6,1,7,8,2,3,9,4,10]
[10,4,9,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,9,4,10]
[10,4,9,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,9,4,10]
[10,4,3,9,8,2,7,1,6,5]=>[5,6,1,7,2,8,9,3,4,10]
[10,4,3,9,8,2,1,7,6,5]=>[5,6,7,1,2,8,9,3,4,10]
[10,4,3,9,2,8,7,1,6,5]=>[5,6,1,7,8,2,9,3,4,10]
[10,4,3,9,2,8,1,7,6,5]=>[5,6,7,1,8,2,9,3,4,10]
[10,4,3,9,2,1,8,7,6,5]=>[5,6,7,8,1,2,9,3,4,10]
[10,4,3,2,9,8,7,1,6,5]=>[5,6,1,7,8,9,2,3,4,10]
[10,4,3,2,9,8,1,7,6,5]=>[5,6,7,1,8,9,2,3,4,10]
[10,4,3,2,9,1,8,7,6,5]=>[5,6,7,8,1,9,2,3,4,10]
[4,10,9,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,9,10,4]
[4,10,9,3,8,2,1,7,6,5]=>[5,6,7,1,2,8,3,9,10,4]
[4,10,9,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,9,10,4]
[4,10,3,9,8,2,7,1,6,5]=>[5,6,1,7,2,8,9,3,10,4]
[4,10,3,9,8,2,1,7,6,5]=>[5,6,7,1,2,8,9,3,10,4]
[4,10,3,9,2,8,7,1,6,5]=>[5,6,1,7,8,2,9,3,10,4]
[4,10,3,9,2,1,8,7,6,5]=>[5,6,7,8,1,2,9,3,10,4]
[4,10,3,2,9,8,7,1,6,5]=>[5,6,1,7,8,9,2,3,10,4]
[4,10,3,2,9,8,1,7,6,5]=>[5,6,7,1,8,9,2,3,10,4]
[4,10,3,2,9,1,8,7,6,5]=>[5,6,7,8,1,9,2,3,10,4]
[4,10,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,10,4]
[4,3,10,9,8,2,7,1,6,5]=>[5,6,1,7,2,8,9,10,3,4]
[4,3,10,9,8,2,1,7,6,5]=>[5,6,7,1,2,8,9,10,3,4]
[4,3,10,9,2,8,7,1,6,5]=>[5,6,1,7,8,2,9,10,3,4]
[4,3,10,9,2,8,1,7,6,5]=>[5,6,7,1,8,2,9,10,3,4]
[4,3,10,9,2,1,8,7,6,5]=>[5,6,7,8,1,2,9,10,3,4]
[4,3,10,2,9,8,7,1,6,5]=>[5,6,1,7,8,9,2,10,3,4]
[4,3,10,2,9,8,1,7,6,5]=>[5,6,7,1,8,9,2,10,3,4]
[4,3,10,2,9,1,8,7,6,5]=>[5,6,7,8,1,9,2,10,3,4]
[4,3,10,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,10,3,4]
[4,3,2,10,9,8,7,1,6,5]=>[5,6,1,7,8,9,10,2,3,4]
[4,3,2,10,9,8,1,7,6,5]=>[5,6,7,1,8,9,10,2,3,4]
[4,3,2,10,9,1,8,7,6,5]=>[5,6,7,8,1,9,10,2,3,4]
[4,3,2,10,1,9,8,7,6,5]=>[5,6,7,8,9,1,10,2,3,4]
[7,5,3,1,10,8,6,4,2,9]=>[9,2,4,6,8,10,1,3,5,7]
[9,7,5,3,1,10,2,4,6,8]=>[8,6,4,2,10,1,3,5,7,9]
[10,7,5,3,1,8,2,4,6,9]=>[9,6,4,2,8,1,3,5,7,10]
[9,5,3,1,10,7,2,4,6,8]=>[8,6,4,2,7,10,1,3,5,9]
[8,5,3,1,9,6,10,2,4,7]=>[7,4,2,10,6,9,1,3,5,8]
[10,8,5,3,1,6,2,4,7,9]=>[9,7,4,2,6,1,3,5,8,10]
[9,7,3,1,10,5,2,4,6,8]=>[8,6,4,2,5,10,1,3,7,9]
[10,7,3,1,8,5,2,4,6,9]=>[9,6,4,2,5,8,1,3,7,10]
[9,3,1,10,7,5,2,4,6,8]=>[8,6,4,2,5,7,10,1,3,9]
[8,3,1,9,6,4,10,2,5,7]=>[7,5,2,10,4,6,9,1,3,8]
[10,6,3,1,7,4,8,2,5,9]=>[9,5,2,8,4,7,1,3,6,10]
[9,3,1,10,6,4,7,2,5,8]=>[8,5,2,7,4,6,10,1,3,9]
[8,3,1,9,4,10,6,2,5,7]=>[7,5,2,6,10,4,9,1,3,8]
[7,3,1,8,4,9,5,10,2,6]=>[6,2,10,5,9,4,8,1,3,7]
[9,7,5,1,10,3,2,4,6,8]=>[8,6,4,2,3,10,1,5,7,9]
[10,7,5,1,8,3,2,4,6,9]=>[9,6,4,2,3,8,1,5,7,10]
[9,5,1,10,7,3,2,4,6,8]=>[8,6,4,2,3,7,10,1,5,9]
[8,5,1,9,6,2,10,3,4,7]=>[7,4,3,10,2,6,9,1,5,8]
[9,7,1,10,5,3,2,4,6,8]=>[8,6,4,2,3,5,10,1,7,9]
[8,1,9,6,4,2,10,3,5,7]=>[7,5,3,10,2,4,6,9,1,8]
[10,6,1,7,4,2,8,3,5,9]=>[9,5,3,8,2,4,7,1,6,10]
[9,1,10,6,4,2,7,3,5,8]=>[8,5,3,7,2,4,6,10,1,9]
[8,1,9,4,2,10,6,3,5,7]=>[7,5,3,6,10,2,4,9,1,8]
[7,1,8,4,2,9,5,10,3,6]=>[6,3,10,5,9,2,4,8,1,7]
[9,7,1,10,4,2,5,3,6,8]=>[8,6,3,5,2,4,10,1,7,9]
[8,1,9,6,2,10,4,3,5,7]=>[7,5,3,4,10,2,6,9,1,8]
[7,1,8,2,9,5,3,10,4,6]=>[6,4,10,3,5,9,2,8,1,7]
[1,10,8,6,3,4,2,5,7,9]=>[9,7,5,2,4,3,6,8,10,1]
[10,8,6,1,4,2,3,5,7,9]=>[9,7,5,3,2,4,1,6,8,10]
[10,8,3,2,6,1,4,5,7,9]=>[9,7,5,4,1,6,2,3,8,10]
[10,5,4,2,8,1,3,6,7,9]=>[9,7,6,3,1,8,2,4,5,10]
[7,6,4,2,10,1,3,5,8,9]=>[9,8,5,3,1,10,2,4,6,7]
[1,9,2,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,2,9,1]
[9,3,2,1,10,8,7,6,5,4]=>[4,5,6,7,8,10,1,2,3,9]
[4,2,10,9,8,7,6,5,3,1]=>[1,3,5,6,7,8,9,10,2,4]
[1,3,9,8,7,6,5,10,4,2]=>[2,4,10,5,6,7,8,9,3,1]
[1,8,7,6,5,4,3,9,2,10]=>[10,2,9,3,4,5,6,7,8,1]
[1,3,5,9,8,7,10,6,4,2]=>[2,4,6,10,7,8,9,5,3,1]
[1,3,8,7,6,5,9,4,2,10]=>[10,2,4,9,5,6,7,8,3,1]
[1,7,6,5,4,3,2,9,10,8]=>[8,10,9,2,3,4,5,6,7,1]
[1,7,6,5,4,3,8,2,9,10]=>[10,9,2,8,3,4,5,6,7,1]
[1,3,5,8,7,9,6,4,2,10]=>[10,2,4,6,9,7,8,5,3,1]
[1,3,7,6,5,2,9,8,10,4]=>[4,10,8,9,2,5,6,7,3,1]
[1,3,7,6,5,8,4,2,9,10]=>[10,9,2,4,8,5,6,7,3,1]
[1,6,5,4,3,2,8,9,7,10]=>[10,7,9,8,2,3,4,5,6,1]
[1,6,5,4,3,7,2,8,9,10]=>[10,9,8,2,7,3,4,5,6,1]
[1,3,5,7,2,9,8,6,10,4]=>[4,10,6,8,9,2,7,5,3,1]
[1,3,6,5,2,7,9,10,8,4]=>[4,8,10,9,7,2,5,6,3,1]
[1,3,6,5,2,8,7,9,4,10]=>[10,4,9,7,8,2,5,6,3,1]
[1,3,6,5,7,4,2,8,9,10]=>[10,9,8,2,4,7,5,6,3,1]
[1,5,4,3,2,7,6,9,10,8]=>[8,10,9,6,7,2,3,4,5,1]
[1,5,4,3,2,7,8,6,9,10]=>[10,9,6,8,7,2,3,4,5,1]
[1,5,4,3,6,2,7,8,9,10]=>[10,9,8,7,2,6,3,4,5,1]
[1,3,5,2,6,8,9,7,4,10]=>[10,4,7,9,8,6,2,5,3,1]
[1,3,5,2,7,6,4,9,10,8]=>[8,10,9,4,6,7,2,5,3,1]
[1,3,5,2,7,6,8,4,9,10]=>[10,9,4,8,6,7,2,5,3,1]
[1,4,3,2,6,5,8,9,7,10]=>[10,7,9,8,5,6,2,3,4,1]
[1,4,3,2,6,7,5,8,9,10]=>[10,9,8,5,7,6,2,3,4,1]
[1,4,3,5,2,6,7,8,9,10]=>[10,9,8,7,6,2,5,3,4,1]
[1,3,2,5,4,7,8,6,9,10]=>[10,9,6,8,7,4,5,2,3,1]
[1,3,2,5,6,4,7,8,9,10]=>[10,9,8,7,4,6,5,2,3,1]
[2,3,4,5,6,9,7,10,1,8]=>[8,1,10,7,9,6,5,4,3,2]
[2,3,4,8,5,9,6,10,1,7]=>[7,1,10,6,9,5,8,4,3,2]
[2,7,3,8,4,9,5,10,1,6]=>[6,1,10,5,9,4,8,3,7,2]
[2,1,4,3,10,9,6,5,7,8]=>[8,7,5,6,9,10,3,4,1,2]
[2,1,8,7,4,3,5,6,10,9]=>[9,10,6,5,3,4,7,8,1,2]
[2,1,10,7,4,9,5,3,6,8]=>[8,6,3,5,9,4,7,10,1,2]
[2,1,10,9,4,3,5,6,7,8]=>[8,7,6,5,3,4,9,10,1,2]
[2,1,10,9,4,5,6,3,7,8]=>[8,7,3,6,5,4,9,10,1,2]
[2,1,10,3,8,5,4,6,7,9]=>[9,7,6,4,5,8,3,10,1,2]
[4,1,2,3,10,9,6,5,7,8]=>[8,7,5,6,9,10,3,2,1,4]
[6,5,2,1,3,4,8,7,10,9]=>[9,10,7,8,4,3,1,2,5,6]
[6,5,2,1,3,4,10,7,8,9]=>[9,8,7,10,4,3,1,2,5,6]
[8,5,2,7,3,1,4,6,10,9]=>[9,10,6,4,1,3,7,2,5,8]
[10,5,2,7,3,9,4,1,6,8]=>[8,6,1,4,9,3,7,2,5,10]
[10,5,2,9,3,1,4,6,7,8]=>[8,7,6,4,1,3,9,2,5,10]
[8,7,2,1,3,4,5,6,10,9]=>[9,10,6,5,4,3,1,2,7,8]
[10,7,2,9,3,4,5,1,6,8]=>[8,6,1,5,4,3,9,2,7,10]
[10,8,2,1,9,4,3,5,6,7]=>[7,6,5,3,4,9,1,2,8,10]
[8,7,2,3,4,1,5,6,10,9]=>[9,10,6,5,1,4,3,2,7,8]
[10,7,2,3,4,9,5,1,6,8]=>[8,6,1,5,9,4,3,2,7,10]
[10,9,2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2,9,10]
[8,1,6,3,2,4,5,7,10,9]=>[9,10,7,5,4,2,3,6,1,8]
[10,9,6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6,9,10]
[10,1,6,3,8,4,2,5,7,9]=>[9,7,5,2,4,8,3,6,1,10]
[10,1,8,3,2,4,5,6,7,9]=>[9,7,6,5,4,2,3,8,1,10]
[10,9,2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2,9,10]
[10,1,8,3,4,5,2,6,7,9]=>[9,7,6,2,5,4,3,8,1,10]
[10,1,2,7,4,3,5,6,8,9]=>[9,8,6,5,3,4,7,2,1,10]
[2,10,4,1,6,3,9,5,7,8]=>[8,7,5,9,3,6,1,4,10,2]
[2,10,4,1,8,3,9,6,7,5]=>[5,7,6,9,3,8,1,4,10,2]
[2,10,6,1,8,4,9,3,7,5]=>[5,7,3,9,4,8,1,6,10,2]
[4,10,6,2,8,1,9,3,7,5]=>[5,7,3,9,1,8,2,6,10,4]
[10,4,6,1,8,2,9,3,7,5]=>[5,7,3,9,2,8,1,6,4,10]
[10,3,1,6,8,2,9,4,7,5]=>[5,7,4,9,2,8,6,1,3,10]
[10,3,1,5,2,8,9,4,7,6]=>[6,7,4,9,8,2,5,1,3,10]
[10,3,1,5,2,7,4,9,8,6]=>[6,8,9,4,7,2,5,1,3,10]
[7,5,3,10,1,9,8,6,4,2]=>[2,4,6,8,9,1,10,3,5,7]
[5,3,1,8,10,9,7,6,4,2]=>[2,4,6,7,9,10,8,1,3,5]
[3,1,8,6,10,9,7,5,4,2]=>[2,4,5,7,9,10,6,8,1,3]
[1,8,6,4,10,9,7,5,3,2]=>[2,3,5,7,9,10,4,6,8,1]
[10,2,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,2,10]
[10,9,3,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,3,9,10]
[10,9,8,4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4,8,9,10]
[4,10,3,9,8,7,1,6,2,5]=>[5,2,6,1,7,8,9,3,10,4]
[10,2,9,4,8,7,6,1,3,5]=>[5,3,1,6,7,8,4,9,2,10]
[1,4,2,10,9,8,7,6,3,5]=>[5,3,6,7,8,9,10,2,4,1]
[5,10,9,4,8,3,1,7,2,6]=>[6,2,7,1,3,8,4,9,10,5]
[10,5,4,9,8,7,2,1,3,6]=>[6,3,1,2,7,8,9,4,5,10]
[1,5,10,4,9,8,2,7,3,6]=>[6,3,7,2,8,9,4,10,5,1]
[5,3,1,10,9,8,7,2,4,6]=>[6,4,2,7,8,9,10,1,3,5]
[1,2,5,3,10,9,8,7,4,6]=>[6,4,7,8,9,10,3,5,2,1]
[10,6,9,5,4,8,2,1,3,7]=>[7,3,1,2,8,4,5,9,6,10]
[1,6,10,9,5,4,2,8,3,7]=>[7,3,8,2,4,5,9,10,6,1]
[10,9,6,8,3,5,2,1,4,7]=>[7,4,1,2,5,3,8,6,9,10]
[6,3,10,5,9,1,8,2,4,7]=>[7,4,2,8,1,9,5,10,3,6]
[1,2,6,10,5,9,3,8,4,7]=>[7,4,8,3,9,5,10,6,2,1]
[10,2,9,4,8,6,1,3,5,7]=>[7,5,3,1,6,8,4,9,2,10]
[4,1,6,2,10,9,8,3,5,7]=>[7,5,3,8,9,10,2,6,1,4]
[7,10,6,4,3,1,9,2,5,8]=>[8,5,2,9,1,3,4,6,10,7]
[10,7,4,6,9,2,1,3,5,8]=>[8,5,3,1,2,9,6,4,7,10]
[4,7,1,6,10,2,9,3,5,8]=>[8,5,3,9,2,10,6,1,7,4]
[1,2,3,7,10,6,4,9,5,8]=>[8,5,9,4,6,10,7,3,2,1]
[7,5,3,1,10,9,2,4,6,8]=>[8,6,4,2,9,10,1,3,5,7]
[1,5,2,7,3,10,9,4,6,8]=>[8,6,4,9,10,3,7,2,5,1]
[1,2,3,4,7,5,10,9,6,8]=>[8,6,9,10,5,7,4,3,2,1]
[6,4,1,8,2,10,3,5,7,9]=>[9,7,5,3,10,2,8,1,4,6]
[1,2,6,3,8,4,10,5,7,9]=>[9,7,5,10,4,8,3,6,2,1]
[1,2,3,4,5,8,6,10,7,9]=>[9,7,10,6,8,5,4,3,2,1]
[8,10,6,4,2,1,3,5,9,7]=>[7,9,5,3,1,2,4,6,10,8]
[6,8,10,4,2,1,3,9,7,5]=>[5,7,9,3,1,2,4,10,8,6]
[4,6,8,10,2,1,9,7,5,3]=>[3,5,7,9,1,2,10,8,6,4]
[5,7,9,3,1,2,10,8,6,4]=>[4,6,8,10,2,1,3,9,7,5]
[7,9,5,3,1,2,4,10,8,6]=>[6,8,10,4,2,1,3,5,9,7]
[9,7,5,3,1,2,4,6,10,8]=>[8,10,6,4,2,1,3,5,7,9]
[8,5,9,6,7,3,1,10,4,2]=>[2,4,10,1,3,7,6,9,5,8]
[9,3,6,4,7,5,1,10,8,2]=>[2,8,10,1,5,7,4,6,3,9]
[8,6,3,9,7,4,5,1,10,2]=>[2,10,1,5,4,7,9,3,6,8]
[6,7,8,3,9,4,5,1,10,2]=>[2,10,1,5,4,9,3,8,7,6]
[3,4,8,5,9,6,7,1,10,2]=>[2,10,1,7,6,9,5,8,4,3]
[7,3,8,4,5,6,9,1,10,2]=>[2,10,1,9,6,5,4,8,3,7]
[8,5,1,9,6,2,7,3,10,4]=>[4,10,3,7,2,6,9,1,5,8]
[9,1,4,2,7,5,3,10,8,6]=>[6,8,10,3,5,7,2,4,1,9]
[1,6,9,7,4,2,5,3,10,8]=>[8,10,3,5,2,4,7,9,6,1]
[8,6,4,1,9,7,5,2,3,10]=>[10,3,2,5,7,9,1,4,6,8]
[6,7,8,4,1,9,5,2,3,10]=>[10,3,2,5,9,1,4,8,7,6]
[1,4,9,5,6,2,7,3,10,8]=>[8,10,3,7,2,6,5,9,4,1]
[4,5,8,6,1,9,7,2,3,10]=>[10,3,2,7,9,1,6,8,5,4]
[7,4,8,5,6,1,9,2,3,10]=>[10,3,2,9,1,6,5,8,4,7]
[4,5,6,7,8,1,9,2,3,10]=>[10,3,2,9,1,8,7,6,5,4]
[1,2,9,3,6,4,7,5,10,8]=>[8,10,5,7,4,6,3,9,2,1]
[1,2,8,6,3,9,7,4,5,10]=>[10,5,4,7,9,3,6,8,2,1]
[6,1,7,2,8,3,9,4,5,10]=>[10,5,4,9,3,8,2,7,1,6]
[5,1,6,2,3,4,9,7,10,8]=>[8,10,7,9,4,3,2,6,1,5]
[8,5,1,2,3,9,6,4,7,10]=>[10,7,4,6,9,3,2,1,5,8]
[7,5,1,8,6,2,3,4,9,10]=>[10,9,4,3,2,6,8,1,5,7]
[5,6,7,1,8,2,3,4,9,10]=>[10,9,4,3,2,8,1,7,6,5]
[1,2,3,4,8,5,9,6,7,10]=>[10,7,6,9,5,8,4,3,2,1]
[1,2,7,3,8,4,5,6,9,10]=>[10,9,6,5,4,8,3,7,2,1]
[6,1,7,2,3,4,5,8,9,10]=>[10,9,8,5,4,3,2,7,1,6]
[10,9,8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8,9,10]
[7,8,9,4,5,6,2,3,1,10]=>[10,1,3,2,6,5,4,9,8,7]
[9,10,7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7,10,9]
[9,10,7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7,10,9]
[9,10,7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7,10,9]
[10,8,9,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,9,8,10]
[10,8,9,6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6,9,8,10]
[10,9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9,10]
[8,2,10,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,10,2,8]
[8,10,9,3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3,9,10,8]
[6,9,2,3,4,5,7,10,1,8]=>[8,1,10,7,5,4,3,2,9,6]
[9,2,8,10,4,5,6,7,1,3]=>[3,1,7,6,5,4,10,8,2,9]
[7,2,10,3,4,5,6,8,1,9]=>[9,1,8,6,5,4,3,10,2,7]
[1,10,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,10,1]
[7,10,5,8,3,6,1,4,2,9]=>[9,2,4,1,6,3,8,5,10,7]
[5,10,9,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,9,10,5]
[6,5,10,3,8,4,7,2,9,1]=>[1,9,2,7,4,8,3,10,5,6]
[6,8,5,3,10,4,7,2,9,1]=>[1,9,2,7,4,10,3,5,8,6]
[9,2,10,4,7,5,6,3,8,1]=>[1,8,3,6,5,7,4,10,2,9]
[10,5,3,4,8,6,7,2,9,1]=>[1,9,2,7,6,8,4,3,5,10]
[4,9,2,10,5,7,6,3,8,1]=>[1,8,3,6,7,5,10,2,9,4]
[7,6,4,10,5,2,9,3,8,1]=>[1,8,3,9,2,5,10,4,6,7]
[6,9,3,8,2,10,5,4,7,1]=>[1,7,4,5,10,2,8,3,9,6]
[4,7,10,6,3,9,2,5,8,1]=>[1,8,5,2,9,3,6,10,7,4]
[7,9,3,5,2,10,6,4,8,1]=>[1,8,4,6,10,2,5,3,9,7]
[9,3,5,4,8,2,10,6,7,1]=>[1,7,6,10,2,8,4,5,3,9]
[5,9,4,3,8,2,10,6,7,1]=>[1,7,6,10,2,8,3,4,9,5]
[8,3,9,4,5,7,2,10,6,1]=>[1,6,10,2,7,5,4,9,3,8]
[10,7,8,1,6,4,9,3,5,2]=>[2,5,3,9,4,6,1,8,7,10]
[9,3,5,4,10,7,1,6,8,2]=>[2,8,6,1,7,10,4,5,3,9]
[6,5,2,3,9,4,10,7,8,1]=>[1,8,7,10,4,9,3,2,5,6]
[5,8,2,6,9,4,3,10,7,1]=>[1,7,10,3,4,9,6,2,8,5]
[9,4,5,8,3,10,7,2,6,1]=>[1,6,2,7,10,3,8,5,4,9]
[4,9,5,6,8,3,2,10,7,1]=>[1,7,10,2,3,8,6,5,9,4]
[10,7,2,9,5,8,3,4,6,1]=>[1,6,4,3,8,5,9,2,7,10]
[8,4,10,7,3,6,2,9,5,1]=>[1,5,9,2,6,3,7,10,4,8]
[9,5,6,10,8,2,7,1,4,3]=>[3,4,1,7,2,8,10,6,5,9]
[4,7,1,9,5,6,10,8,3,2]=>[2,3,8,10,6,5,9,1,7,4]
[9,5,10,8,3,4,6,1,7,2]=>[2,7,1,6,4,3,8,10,5,9]
[10,8,4,9,5,1,7,3,6,2]=>[2,6,3,7,1,5,9,4,8,10]
[10,8,4,7,2,3,5,9,6,1]=>[1,6,9,5,3,2,7,4,8,10]
[7,3,10,8,4,9,6,2,5,1]=>[1,5,2,6,9,4,8,10,3,7]
[9,6,3,10,8,5,2,7,4,1]=>[1,4,7,2,5,8,10,3,6,9]
[6,2,10,9,7,3,8,5,1,4]=>[4,1,5,8,3,7,9,10,2,6]
[8,5,2,10,9,7,4,1,6,3]=>[3,6,1,4,7,9,10,2,5,8]
[10,1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1,10]
[10,9,1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1,9,10]
[10,3,1,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,1,3,10]
[10,8,1,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,1,8,10]
[10,2,1,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,1,2,10]
[1,10,2,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,2,10,1]
[1,3,10,2,4,9,5,8,6,7]=>[7,6,8,5,9,4,2,10,3,1]
[1,10,3,2,4,9,5,8,6,7]=>[7,6,8,5,9,4,2,3,10,1]
[1,10,3,5,7,9,2,4,6,8]=>[8,6,4,2,9,7,5,3,10,1]
[7,6,10,3,5,9,1,2,4,8]=>[8,4,2,1,9,5,3,10,6,7]
[7,6,10,5,9,1,2,3,4,8]=>[8,4,3,2,1,9,5,10,6,7]
[5,8,4,7,10,1,2,3,6,9]=>[9,6,3,2,1,10,7,4,8,5]
[8,3,5,7,10,1,2,4,6,9]=>[9,6,4,2,1,10,7,5,3,8]
[8,5,7,10,1,2,3,4,6,9]=>[9,6,4,3,2,1,10,7,5,8]
[8,7,10,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,10,7,8]
[1,10,2,4,9,5,7,8,6,3]=>[3,6,8,7,5,9,4,2,10,1]
[1,10,5,3,4,8,6,7,2,9]=>[9,2,7,6,8,4,3,5,10,1]
[9,10,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,10,9]
[2,1,4,3,6,8,10,5,7,9]=>[9,7,5,10,8,6,3,4,1,2]
[2,1,4,6,3,5,8,10,7,9]=>[9,7,10,8,5,3,6,4,1,2]
[2,1,4,6,3,8,5,7,10,9]=>[9,10,7,5,8,3,6,4,1,2]
[2,1,4,6,3,8,10,5,7,9]=>[9,7,5,10,8,3,6,4,1,2]
[2,1,4,6,8,3,5,7,10,9]=>[9,10,7,5,3,8,6,4,1,2]
[2,1,4,6,8,3,5,10,7,9]=>[9,7,10,5,3,8,6,4,1,2]
[2,1,4,6,8,3,10,5,7,9]=>[9,7,5,10,3,8,6,4,1,2]
[2,1,4,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,4,1,2]
[2,4,1,3,6,5,8,10,7,9]=>[9,7,10,8,5,6,3,1,4,2]
[2,4,1,3,6,8,5,10,7,9]=>[9,7,10,5,8,6,3,1,4,2]
[2,4,1,3,6,8,10,5,7,9]=>[9,7,5,10,8,6,3,1,4,2]
[2,4,1,6,3,5,8,10,7,9]=>[9,7,10,8,5,3,6,1,4,2]
[2,4,1,6,3,8,10,5,7,9]=>[9,7,5,10,8,3,6,1,4,2]
[2,4,1,6,8,3,5,7,10,9]=>[9,10,7,5,3,8,6,1,4,2]
[2,4,1,6,8,3,5,10,7,9]=>[9,7,10,5,3,8,6,1,4,2]
[2,4,1,6,8,3,10,5,7,9]=>[9,7,5,10,3,8,6,1,4,2]
[2,4,1,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,1,4,2]
[2,4,6,1,3,5,8,10,7,9]=>[9,7,10,8,5,3,1,6,4,2]
[2,4,6,1,3,8,5,7,10,9]=>[9,10,7,5,8,3,1,6,4,2]
[2,4,6,1,3,8,5,10,7,9]=>[9,7,10,5,8,3,1,6,4,2]
[2,4,6,1,3,8,10,5,7,9]=>[9,7,5,10,8,3,1,6,4,2]
[2,4,6,1,8,3,5,7,10,9]=>[9,10,7,5,3,8,1,6,4,2]
[2,4,6,1,8,3,5,10,7,9]=>[9,7,10,5,3,8,1,6,4,2]
[2,4,6,1,8,3,10,5,7,9]=>[9,7,5,10,3,8,1,6,4,2]
[2,4,6,1,8,10,3,5,7,9]=>[9,7,5,3,10,8,1,6,4,2]
[2,4,6,8,1,3,5,7,10,9]=>[9,10,7,5,3,1,8,6,4,2]
[2,4,6,8,1,3,5,10,7,9]=>[9,7,10,5,3,1,8,6,4,2]
[2,4,6,8,1,3,10,5,7,9]=>[9,7,5,10,3,1,8,6,4,2]
[2,4,6,8,1,10,3,5,7,9]=>[9,7,5,3,10,1,8,6,4,2]
[6,5,7,8,10,1,2,3,4,9]=>[9,4,3,2,1,10,8,7,5,6]
[6,7,5,8,9,1,2,3,4,10]=>[10,4,3,2,1,9,8,5,7,6]
[6,7,8,5,9,1,2,3,4,10]=>[10,4,3,2,1,9,5,8,7,6]
[6,7,8,10,5,1,2,3,4,9]=>[9,4,3,2,1,5,10,8,7,6]
[5,7,8,9,1,6,2,3,4,10]=>[10,4,3,2,6,1,9,8,7,5]
[5,6,8,9,1,2,7,3,4,10]=>[10,4,3,7,2,1,9,8,6,5]
[5,6,7,10,1,2,3,8,4,9]=>[9,4,8,3,2,1,10,7,6,5]
[7,5,6,9,10,1,2,3,8,4]=>[4,8,3,2,1,10,9,6,5,7]
[8,9,6,5,10,1,2,4,7,3]=>[3,7,4,2,1,10,5,6,9,8]
[8,9,10,7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7,10,9,8]
[4,8,9,10,6,7,2,3,5,1]=>[1,5,3,2,7,6,10,9,8,4]
[5,6,9,10,1,3,7,8,4,2]=>[2,4,8,7,3,1,10,9,6,5]
[5,6,7,9,1,2,4,8,10,3]=>[3,10,8,4,2,1,9,7,6,5]
[1,6,7,5,10,3,9,4,8,2]=>[2,8,4,9,3,10,5,7,6,1]
[1,6,10,3,9,4,8,5,7,2]=>[2,7,5,8,4,9,3,10,6,1]
[10,3,9,4,8,5,7,6,1,2]=>[2,1,6,7,5,8,4,9,3,10]
[1,7,6,10,3,9,4,8,5,2]=>[2,5,8,4,9,3,10,6,7,1]
[1,7,6,8,5,10,3,9,4,2]=>[2,4,9,3,10,5,8,6,7,1]
[7,6,8,5,9,4,10,3,1,2]=>[2,1,3,10,4,9,5,8,6,7]
[6,7,5,9,1,3,10,4,8,2]=>[2,8,4,10,3,1,9,5,7,6]
[6,10,3,9,5,7,1,4,8,2]=>[2,8,4,1,7,5,9,3,10,6]
[10,3,9,4,8,6,1,5,7,2]=>[2,7,5,1,6,8,4,9,3,10]
[6,1,7,10,3,9,4,8,5,2]=>[2,5,8,4,9,3,10,7,1,6]
[10,3,9,4,1,7,6,8,5,2]=>[2,5,8,6,7,1,4,9,3,10]
[7,6,10,3,1,8,5,9,4,2]=>[2,4,9,5,8,1,3,10,6,7]
[2,7,6,8,5,10,3,1,9,4]=>[4,9,1,3,10,5,8,6,7,2]
[4,5,1,2,7,8,3,6,9,10]=>[10,9,6,3,8,7,2,1,5,4]
[4,5,1,2,8,9,3,6,7,10]=>[10,7,6,3,9,8,2,1,5,4]
[4,5,1,2,3,8,6,9,10,7]=>[7,10,9,6,8,3,2,1,5,4]
[4,1,2,5,8,3,6,9,10,7]=>[7,10,9,6,3,8,5,2,1,4]
[4,1,5,8,2,3,6,9,10,7]=>[7,10,9,6,3,2,8,5,1,4]
[4,1,5,8,2,3,9,10,6,7]=>[7,6,10,9,3,2,8,5,1,4]
[4,1,5,6,2,3,9,10,7,8]=>[8,7,10,9,3,2,6,5,1,4]
[4,5,6,7,8,9,2,3,1,10]=>[10,1,3,2,9,8,7,6,5,4]
[5,6,7,8,9,2,3,4,1,10]=>[10,1,4,3,2,9,8,7,6,5]
[5,6,7,8,9,3,4,1,2,10]=>[10,2,1,4,3,9,8,7,6,5]
[5,6,7,8,9,3,4,2,1,10]=>[10,1,2,4,3,9,8,7,6,5]
[6,7,8,9,2,3,4,5,1,10]=>[10,1,5,4,3,2,9,8,7,6]
[6,7,8,9,3,4,5,1,2,10]=>[10,2,1,5,4,3,9,8,7,6]
[6,7,8,9,3,4,5,2,1,10]=>[10,1,2,5,4,3,9,8,7,6]
[6,7,8,9,4,5,2,3,1,10]=>[10,1,3,2,5,4,9,8,7,6]
[6,7,8,9,4,5,3,2,1,10]=>[10,1,2,3,5,4,9,8,7,6]
[7,8,9,3,4,5,10,2,1,6]=>[6,1,2,10,5,4,3,9,8,7]
[7,8,9,4,5,6,3,2,1,10]=>[10,1,2,3,6,5,4,9,8,7]
[7,8,9,5,6,3,4,2,1,10]=>[10,1,2,4,3,6,5,9,8,7]
[7,8,9,5,6,4,3,2,1,10]=>[10,1,2,3,4,6,5,9,8,7]
[8,9,5,6,10,3,4,1,2,7]=>[7,2,1,4,3,10,6,5,9,8]
[8,9,5,6,10,3,4,2,1,7]=>[7,1,2,4,3,10,6,5,9,8]
[8,9,5,6,10,4,3,2,1,7]=>[7,1,2,3,4,10,6,5,9,8]
[8,9,6,7,4,5,3,2,1,10]=>[10,1,2,3,5,4,7,6,9,8]
[8,9,6,7,5,4,3,2,1,10]=>[10,1,2,3,4,5,7,6,9,8]
[9,7,10,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,10,7,9]
[9,7,10,5,8,4,3,2,1,6]=>[6,1,2,3,4,8,5,10,7,9]
[9,7,10,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,10,7,9]
[7,5,8,6,9,10,2,1,4,3]=>[3,4,1,2,10,9,6,8,5,7]
[6,5,8,7,10,9,2,1,4,3]=>[3,4,1,2,9,10,7,8,5,6]
[7,5,8,6,10,9,2,1,4,3]=>[3,4,1,2,9,10,6,8,5,7]
[7,5,9,6,10,8,2,1,4,3]=>[3,4,1,2,8,10,6,9,5,7]
[7,6,9,8,1,10,3,2,5,4]=>[4,5,2,3,10,1,8,9,6,7]
[8,6,9,7,1,10,3,2,5,4]=>[4,5,2,3,10,1,7,9,6,8]
[7,6,10,8,1,9,3,2,5,4]=>[4,5,2,3,9,1,8,10,6,7]
[8,6,10,7,1,9,3,2,5,4]=>[4,5,2,3,9,1,7,10,6,8]
[9,6,10,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,10,6,9]
[7,5,9,8,1,10,3,2,6,4]=>[4,6,2,3,10,1,8,9,5,7]
[8,5,9,7,1,10,3,2,6,4]=>[4,6,2,3,10,1,7,9,5,8]
[8,5,10,7,1,9,3,2,6,4]=>[4,6,2,3,9,1,7,10,5,8]
[8,5,10,6,1,9,2,3,7,4]=>[4,7,3,2,9,1,6,10,5,8]
[6,5,8,7,9,10,3,1,4,2]=>[2,4,1,3,10,9,7,8,5,6]
[7,5,8,6,9,10,3,1,4,2]=>[2,4,1,3,10,9,6,8,5,7]
[6,5,8,7,10,9,3,1,4,2]=>[2,4,1,3,9,10,7,8,5,6]
[7,5,8,6,10,9,3,1,4,2]=>[2,4,1,3,9,10,6,8,5,7]
[7,5,9,6,10,8,3,1,4,2]=>[2,4,1,3,8,10,6,9,5,7]
[7,6,9,8,1,10,4,2,5,3]=>[3,5,2,4,10,1,8,9,6,7]
[8,6,9,7,1,10,4,2,5,3]=>[3,5,2,4,10,1,7,9,6,8]
[7,6,10,8,1,9,4,2,5,3]=>[3,5,2,4,9,1,8,10,6,7]
[8,6,10,7,1,9,4,2,5,3]=>[3,5,2,4,9,1,7,10,6,8]
[9,6,10,7,1,8,4,2,5,3]=>[3,5,2,4,8,1,7,10,6,9]
[7,5,9,8,1,10,4,2,6,3]=>[3,6,2,4,10,1,8,9,5,7]
[8,5,9,7,1,10,4,2,6,3]=>[3,6,2,4,10,1,7,9,5,8]
[8,5,10,7,1,9,4,2,6,3]=>[3,6,2,4,9,1,7,10,5,8]
[8,5,10,6,1,9,3,2,7,4]=>[4,7,2,3,9,1,6,10,5,8]
[7,6,9,8,2,10,4,1,5,3]=>[3,5,1,4,10,2,8,9,6,7]
[8,6,9,7,2,10,4,1,5,3]=>[3,5,1,4,10,2,7,9,6,8]
[7,6,10,8,2,9,4,1,5,3]=>[3,5,1,4,9,2,8,10,6,7]
[8,6,10,7,2,9,4,1,5,3]=>[3,5,1,4,9,2,7,10,6,8]
[9,6,10,7,2,8,4,1,5,3]=>[3,5,1,4,8,2,7,10,6,9]
[7,5,9,8,2,10,4,1,6,3]=>[3,6,1,4,10,2,8,9,5,7]
[8,5,9,7,2,10,4,1,6,3]=>[3,6,1,4,10,2,7,9,5,8]
[8,5,10,6,2,9,3,1,7,4]=>[4,7,1,3,9,2,6,10,5,8]
[7,4,9,8,1,10,5,2,6,3]=>[3,6,2,5,10,1,8,9,4,7]
[8,4,9,7,1,10,5,2,6,3]=>[3,6,2,5,10,1,7,9,4,8]
[8,4,10,7,1,9,5,2,6,3]=>[3,6,2,5,9,1,7,10,4,8]
[8,4,10,6,1,9,3,2,7,5]=>[5,7,2,3,9,1,6,10,4,8]
[8,4,9,5,1,10,3,2,7,6]=>[6,7,2,3,10,1,5,9,4,8]
[6,5,7,4,10,1,8,3,9,2]=>[2,9,3,8,1,10,4,7,5,6]
[6,5,10,1,7,4,8,3,9,2]=>[2,9,3,8,4,7,1,10,5,6]
[10,1,6,5,7,4,8,3,9,2]=>[2,9,3,8,4,7,5,6,1,10]
[6,10,1,5,7,4,8,3,9,2]=>[2,9,3,8,4,7,5,1,10,6]
[6,7,5,10,1,4,8,3,9,2]=>[2,9,3,8,4,1,10,5,7,6]
[6,7,5,8,4,10,1,3,9,2]=>[2,9,3,1,10,4,8,5,7,6]
[3,2,5,4,7,6,1,9,8,10]=>[10,8,9,1,6,7,4,5,2,3]
[3,2,5,4,1,7,6,9,8,10]=>[10,8,9,6,7,1,4,5,2,3]
[2,1,4,7,3,5,6,8,9,10]=>[10,9,8,6,5,3,7,4,1,2]
[4,5,1,2,6,7,8,9,10,3]=>[3,10,9,8,7,6,2,1,5,4]
[5,6,7,1,2,3,8,9,10,4]=>[4,10,9,8,3,2,1,7,6,5]
[5,1,6,2,3,7,8,9,10,4]=>[4,10,9,8,7,3,2,6,1,5]
[6,1,7,8,2,3,4,9,10,5]=>[5,10,9,4,3,2,8,7,1,6]
[6,7,1,2,3,4,8,9,10,5]=>[5,10,9,8,4,3,2,1,7,6]
[6,1,2,7,3,4,8,9,10,5]=>[5,10,9,8,4,3,7,2,1,6]
[7,8,9,10,5,1,2,3,4,6]=>[6,4,3,2,1,5,10,9,8,7]
[7,8,1,2,9,3,4,5,10,6]=>[6,10,5,4,3,9,2,1,8,7]
[7,1,2,8,9,3,4,5,10,6]=>[6,10,5,4,3,9,8,2,1,7]
[7,1,8,2,3,4,5,9,10,6]=>[6,10,9,5,4,3,2,8,1,7]
[7,1,2,3,8,4,5,9,10,6]=>[6,10,9,5,4,8,3,2,1,7]
[8,9,1,2,10,6,3,4,5,7]=>[7,5,4,3,6,10,2,1,9,8]
[8,1,2,9,10,6,3,4,5,7]=>[7,5,4,3,6,10,9,2,1,8]
[8,1,2,3,9,10,4,5,6,7]=>[7,6,5,4,10,9,3,2,1,8]
[8,1,2,9,3,4,5,6,10,7]=>[7,10,6,5,4,3,9,2,1,8]
[8,1,2,3,4,9,5,6,10,7]=>[7,10,6,5,9,4,3,2,1,8]
[9,1,10,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,10,1,9]
[9,10,1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1,10,9]
[9,1,2,10,3,4,7,5,6,8]=>[8,6,5,7,4,3,10,2,1,9]
[9,1,2,3,4,10,7,5,6,8]=>[8,6,5,7,10,4,3,2,1,9]
[10,1,2,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,2,1,10]
[10,1,2,3,4,6,5,8,7,9]=>[9,7,8,5,6,4,3,2,1,10]
[4,3,5,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,5,3,4]
[4,3,5,7,2,6,1,8,9,10]=>[10,9,8,1,6,2,7,5,3,4]
[5,4,2,6,3,1,7,8,9,10]=>[10,9,8,7,1,3,6,2,4,5]
[4,3,5,6,9,2,7,8,1,10]=>[10,1,8,7,2,9,6,5,3,4]
[2,7,4,5,8,6,3,1,9,10]=>[10,9,1,3,6,8,5,4,7,2]
[5,4,2,6,8,3,7,1,9,10]=>[10,9,1,7,3,8,6,2,4,5]
[6,3,7,5,1,4,2,8,9,10]=>[10,9,8,2,4,1,5,7,3,6]
[6,5,2,3,7,4,1,8,9,10]=>[10,9,8,1,4,7,3,2,5,6]
[2,6,4,5,8,10,7,3,9,1]=>[1,9,3,7,10,8,5,4,6,2]
[5,4,2,6,7,10,3,8,9,1]=>[1,9,8,3,10,7,6,2,4,5]
[6,5,2,3,7,9,4,8,1,10]=>[10,1,8,4,9,7,3,2,5,6]
[7,6,4,8,3,1,5,2,9,10]=>[10,9,2,5,1,3,8,4,6,7]
[7,6,2,3,4,8,5,1,9,10]=>[10,9,1,5,8,4,3,2,6,7]
[4,3,7,10,6,8,1,5,9,2]=>[2,9,5,1,8,6,10,7,3,4]
[2,9,4,7,6,3,10,8,5,1]=>[1,5,8,10,3,6,7,4,9,2]
[7,6,4,9,3,8,10,5,2,1]=>[1,2,5,10,8,3,9,4,6,7]
[7,6,2,3,4,8,10,5,9,1]=>[1,9,5,10,8,4,3,2,6,7]
[8,3,9,5,1,7,2,6,4,10]=>[10,4,6,2,7,1,5,9,3,8]
[8,7,5,3,9,4,1,6,2,10]=>[10,2,6,1,4,9,3,5,7,8]
[8,7,2,3,4,5,9,6,1,10]=>[10,1,6,9,5,4,3,2,7,8]
[9,8,4,10,6,1,5,2,7,3]=>[3,7,2,5,1,6,10,4,8,9]
[9,8,6,3,4,10,5,1,7,2]=>[2,7,1,5,10,4,3,6,8,9]
[9,8,2,3,4,5,6,10,7,1]=>[1,7,10,6,5,4,3,2,8,9]
[1,9,3,7,5,2,10,6,4,8]=>[8,4,6,10,2,5,7,3,9,1]
[1,9,2,10,3,5,7,4,6,8]=>[8,6,4,7,5,3,10,2,9,1]
[1,9,2,10,3,4,6,5,7,8]=>[8,7,5,6,4,3,10,2,9,1]
[1,9,3,2,10,8,4,6,5,7]=>[7,5,6,4,8,10,2,3,9,1]
[1,9,5,7,3,2,10,8,4,6]=>[6,4,8,10,2,3,7,5,9,1]
[1,9,3,2,10,8,4,5,6,7]=>[7,6,5,4,8,10,2,3,9,1]
[1,9,7,3,2,10,8,4,5,6]=>[6,5,4,8,10,2,3,7,9,1]
[1,7,5,2,8,3,9,4,10,6]=>[6,10,4,9,3,8,2,5,7,1]
[1,5,7,3,9,2,8,4,6,10]=>[10,6,4,8,2,9,3,7,5,1]
[1,5,7,2,8,3,9,4,6,10]=>[10,6,4,9,3,8,2,7,5,1]
[1,3,9,2,8,10,4,6,5,7]=>[7,5,6,4,10,8,2,9,3,1]
[1,2,8,3,9,4,6,5,7,10]=>[10,7,5,6,4,9,3,8,2,1]
[1,2,8,4,6,3,9,5,7,10]=>[10,7,5,9,3,6,4,8,2,1]
[1,3,9,2,8,10,4,5,6,7]=>[7,6,5,4,10,8,2,9,3,1]
[1,2,8,3,9,4,5,6,7,10]=>[10,7,6,5,4,9,3,8,2,1]
[1,2,8,4,3,9,7,5,6,10]=>[10,6,5,7,9,3,4,8,2,1]
[1,2,8,6,4,3,9,7,5,10]=>[10,5,7,9,3,4,6,8,2,1]
[1,3,7,5,9,2,6,4,8,10]=>[10,8,4,6,2,9,5,7,3,1]
[1,2,6,4,8,3,7,5,9,10]=>[10,9,5,7,3,8,4,6,2,1]
[1,2,6,3,7,4,8,5,9,10]=>[10,9,5,8,4,7,3,6,2,1]
[1,3,7,9,2,4,8,10,5,6]=>[6,5,10,8,4,2,9,7,3,1]
[1,2,4,8,3,7,9,5,6,10]=>[10,6,5,9,7,3,8,4,2,1]
[1,2,3,7,4,8,5,6,9,10]=>[10,9,6,5,8,4,7,3,2,1]
[1,2,3,7,5,4,8,6,9,10]=>[10,9,6,8,4,5,7,3,2,1]
[1,2,4,6,8,3,5,7,9,10]=>[10,9,7,5,3,8,6,4,2,1]
[1,2,3,5,7,4,6,8,9,10]=>[10,9,8,6,4,7,5,3,2,1]
[10,9,8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8,9,10]
[10,9,6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6,9,10]
[2,1,4,5,6,7,8,10,9,3]=>[3,9,10,8,7,6,5,4,1,2]
[1,4,5,2,6,7,8,10,3,9]=>[9,3,10,8,7,6,2,5,4,1]
[2,10,3,4,5,6,8,1,7,9]=>[9,7,1,8,6,5,4,3,10,2]
[2,5,6,1,3,7,8,10,9,4]=>[4,9,10,8,7,3,1,6,5,2]
[10,1,6,7,8,9,2,3,4,5]=>[5,4,3,2,9,8,7,6,1,10]
[10,1,2,3,6,7,4,5,8,9]=>[9,8,5,4,7,6,3,2,1,10]
[2,9,10,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,10,9,2]
[2,9,10,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,10,9,2]
[2,9,10,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,10,9,2]
[2,7,8,9,10,5,6,3,4,1]=>[1,4,3,6,5,10,9,8,7,2]
[2,7,8,9,10,3,4,5,6,1]=>[1,6,5,4,3,10,9,8,7,2]
[2,5,8,9,6,7,10,3,4,1]=>[1,4,3,10,7,6,9,8,5,2]
[2,3,8,9,6,7,4,5,10,1]=>[1,10,5,4,7,6,9,8,3,2]
[2,3,8,9,4,5,6,7,10,1]=>[1,10,7,6,5,4,9,8,3,2]
[2,3,6,7,8,9,4,5,10,1]=>[1,10,5,4,9,8,7,6,3,2]
[2,3,4,7,8,5,6,9,10,1]=>[1,10,9,6,5,8,7,4,3,2]
[1,10,8,2,7,3,6,4,5,9]=>[9,5,4,6,3,7,2,8,10,1]
[8,10,7,9,5,6,1,2,3,4]=>[4,3,2,1,6,5,9,7,10,8]
[9,10,6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6,10,9]
[8,10,6,9,5,7,1,2,3,4]=>[4,3,2,1,7,5,9,6,10,8]
[7,10,6,9,5,8,1,2,3,4]=>[4,3,2,1,8,5,9,6,10,7]
[9,10,7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7,10,9]
[8,10,7,9,4,6,1,2,3,5]=>[5,3,2,1,6,4,9,7,10,8]
[9,10,6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6,10,9]
[8,10,6,9,4,7,1,2,3,5]=>[5,3,2,1,7,4,9,6,10,8]
[7,10,6,9,4,8,1,2,3,5]=>[5,3,2,1,8,4,9,6,10,7]
[9,10,5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5,10,9]
[8,10,5,9,4,7,1,2,3,6]=>[6,3,2,1,7,4,9,5,10,8]
[7,10,5,9,4,8,1,2,3,6]=>[6,3,2,1,8,4,9,5,10,7]
[9,10,7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7,10,9]
[8,10,7,9,3,5,1,2,4,6]=>[6,4,2,1,5,3,9,7,10,8]
[9,10,6,8,3,5,1,2,4,7]=>[7,4,2,1,5,3,8,6,10,9]
[8,10,6,9,3,5,1,2,4,7]=>[7,4,2,1,5,3,9,6,10,8]
[7,10,6,9,3,5,1,2,4,8]=>[8,4,2,1,5,3,9,6,10,7]
[9,10,7,8,3,6,1,2,4,5]=>[5,4,2,1,6,3,8,7,10,9]
[8,10,7,9,3,6,1,2,4,5]=>[5,4,2,1,6,3,9,7,10,8]
[9,10,6,8,3,7,1,2,4,5]=>[5,4,2,1,7,3,8,6,10,9]
[8,10,6,9,3,7,1,2,4,5]=>[5,4,2,1,7,3,9,6,10,8]
[7,10,6,9,3,8,1,2,4,5]=>[5,4,2,1,8,3,9,6,10,7]
[9,10,5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5,10,9]
[8,10,5,9,3,7,1,2,4,6]=>[6,4,2,1,7,3,9,5,10,8]
[7,10,5,9,3,8,1,2,4,6]=>[6,4,2,1,8,3,9,5,10,7]
[6,10,5,9,3,8,1,2,4,7]=>[7,4,2,1,8,3,9,5,10,6]
[9,10,4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4,10,9]
[8,10,4,7,3,6,1,2,5,9]=>[9,5,2,1,6,3,7,4,10,8]
[9,10,4,8,3,6,1,2,5,7]=>[7,5,2,1,6,3,8,4,10,9]
[8,10,4,9,3,6,1,2,5,7]=>[7,5,2,1,6,3,9,4,10,8]
[7,10,4,9,3,6,1,2,5,8]=>[8,5,2,1,6,3,9,4,10,7]
[9,10,4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4,10,9]
[8,10,4,9,3,7,1,2,5,6]=>[6,5,2,1,7,3,9,4,10,8]
[7,10,4,9,3,8,1,2,5,6]=>[6,5,2,1,8,3,9,4,10,7]
[6,10,4,9,3,8,1,2,5,7]=>[7,5,2,1,8,3,9,4,10,6]
[5,10,4,8,3,7,1,2,6,9]=>[9,6,2,1,7,3,8,4,10,5]
[5,10,4,9,3,7,1,2,6,8]=>[8,6,2,1,7,3,9,4,10,5]
[5,10,4,9,3,8,1,2,6,7]=>[7,6,2,1,8,3,9,4,10,5]
[7,2,1,10,9,8,6,5,4,3]=>[3,4,5,6,8,9,10,1,2,7]
[1,4,6,8,10,2,3,5,7,9]=>[9,7,5,3,2,10,8,6,4,1]
[3,6,1,2,7,4,5,10,8,9]=>[9,8,10,5,4,7,2,1,6,3]
[9,8,7,6,2,5,1,4,3,10]=>[10,3,4,1,5,2,6,7,8,9]
[9,8,7,6,3,5,2,4,1,10]=>[10,1,4,2,5,3,6,7,8,9]
[9,7,6,2,5,4,1,3,10,8]=>[8,10,3,1,4,5,2,6,7,9]
[10,8,7,3,6,2,5,4,1,9]=>[9,1,4,5,2,6,3,7,8,10]
[10,9,2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2,9,10]
[10,9,8,4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4,8,9,10]
[10,9,8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8,9,10]
[10,9,8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8,9,10]
[10,9,8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8,9,10]
[10,9,8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8,9,10]
[10,9,8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8,9,10]
[10,9,8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8,9,10]
[10,9,8,7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7,8,9,10]
[8,7,6,5,9,10,2,1,3,4]=>[4,3,1,2,10,9,5,6,7,8]
[8,7,6,5,9,10,1,2,3,4]=>[4,3,2,1,10,9,5,6,7,8]
[9,8,7,6,10,1,2,3,4,5]=>[5,4,3,2,1,10,6,7,8,9]
[7,6,5,10,8,9,3,2,1,4]=>[4,1,2,3,9,8,10,5,6,7]
[7,6,5,10,8,9,2,1,4,3]=>[3,4,1,2,9,8,10,5,6,7]
[7,6,5,10,8,9,2,1,3,4]=>[4,3,1,2,9,8,10,5,6,7]
[7,6,5,10,8,9,1,2,3,4]=>[4,3,2,1,9,8,10,5,6,7]
[8,7,6,10,9,2,1,4,3,5]=>[5,3,4,1,2,9,10,6,7,8]
[8,7,6,10,9,2,1,3,4,5]=>[5,4,3,1,2,9,10,6,7,8]
[8,7,6,10,9,1,2,3,4,5]=>[5,4,3,2,1,9,10,6,7,8]
[8,7,6,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,6,7,8]
[6,5,8,7,9,10,2,1,3,4]=>[4,3,1,2,10,9,7,8,5,6]
[6,5,8,7,9,10,1,2,3,4]=>[4,3,2,1,10,9,7,8,5,6]
[7,6,9,8,10,1,2,3,4,5]=>[5,4,3,2,1,10,8,9,6,7]
[6,5,8,7,9,10,3,4,2,1]=>[1,2,4,3,10,9,7,8,5,6]
[8,7,10,9,1,3,4,2,6,5]=>[5,6,2,4,3,1,9,10,7,8]
[8,7,10,9,1,4,3,6,5,2]=>[2,5,6,3,4,1,9,10,7,8]
[8,7,10,9,2,4,6,5,3,1]=>[1,3,5,6,4,2,9,10,7,8]
[6,5,9,10,7,8,2,1,4,3]=>[3,4,1,2,8,7,10,9,5,6]
[6,5,9,10,7,8,3,4,2,1]=>[1,2,4,3,8,7,10,9,5,6]
[6,4,7,9,8,2,1,10,5,3]=>[3,5,10,1,2,8,9,7,4,6]
[6,4,7,10,9,3,1,5,8,2]=>[2,8,5,1,3,9,10,7,4,6]
[7,6,10,1,9,4,5,3,8,2]=>[2,8,3,5,4,9,1,10,6,7]
[5,4,6,7,1,8,9,10,3,2]=>[2,3,10,9,8,1,7,6,4,5]
[5,4,6,7,2,9,10,3,8,1]=>[1,8,3,10,9,2,7,6,4,5]
[6,5,9,1,3,10,4,7,8,2]=>[2,8,7,4,10,3,1,9,5,6]
[9,4,10,1,2,5,6,7,8,3]=>[3,8,7,6,5,2,1,10,4,9]
[7,8,6,5,9,10,2,1,4,3]=>[3,4,1,2,10,9,5,6,8,7]
[7,8,6,5,9,10,3,4,2,1]=>[1,2,4,3,10,9,5,6,8,7]
[9,10,8,7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7,8,10,9]
[9,10,8,7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7,8,10,9]
[9,10,8,7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7,8,10,9]
[7,9,5,10,8,6,2,1,4,3]=>[3,4,1,2,6,8,10,5,9,7]
[7,9,5,10,8,6,3,4,2,1]=>[1,2,4,3,6,8,10,5,9,7]
[6,7,4,10,9,2,1,8,5,3]=>[3,5,8,1,2,9,10,4,7,6]
[7,9,6,1,8,4,5,3,2,10]=>[10,2,3,5,4,8,1,6,9,7]
[5,6,4,7,1,9,10,8,3,2]=>[2,3,8,10,9,1,7,4,6,5]
[5,6,4,7,2,8,9,3,1,10]=>[10,1,3,9,8,2,7,4,6,5]
[6,8,5,1,3,9,4,7,2,10]=>[10,2,7,4,9,3,1,5,8,6]
[8,9,4,1,2,5,6,7,3,10]=>[10,3,7,6,5,2,1,4,9,8]
[8,9,10,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,10,9,8]
[8,9,10,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,10,9,8]
[7,9,10,4,6,2,1,8,5,3]=>[3,5,8,1,2,6,4,10,9,7]
[7,8,9,4,6,3,1,5,2,10]=>[10,2,5,1,3,6,4,9,8,7]
[3,8,9,7,6,4,5,2,1,10]=>[10,1,2,5,4,6,7,9,8,3]
[5,6,9,4,1,10,7,8,3,2]=>[2,3,8,7,10,1,4,9,6,5]
[5,6,8,4,2,9,7,3,1,10]=>[10,1,3,7,9,2,4,8,6,5]
[3,7,8,4,1,5,6,2,9,10]=>[10,9,2,6,5,1,4,8,7,3]
[4,9,10,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,10,9,4]
[4,8,9,2,5,6,7,3,1,10]=>[10,1,3,7,6,5,2,9,8,4]
[3,7,8,1,5,6,4,2,9,10]=>[10,9,2,4,6,5,1,8,7,3]
[4,2,1,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,1,2,4]
[1,5,4,2,6,7,8,9,10,3]=>[3,10,9,8,7,6,2,4,5,1]
[1,6,4,5,2,7,8,9,10,3]=>[3,10,9,8,7,2,5,4,6,1]
[7,2,4,5,6,1,8,9,10,3]=>[3,10,9,8,1,6,5,4,2,7]
[1,8,4,5,6,7,2,9,10,3]=>[3,10,9,2,7,6,5,4,8,1]
[1,9,4,5,6,7,8,2,10,3]=>[3,10,2,8,7,6,5,4,9,1]
[10,2,4,5,6,7,8,9,1,3]=>[3,1,9,8,7,6,5,4,2,10]
[2,5,3,1,6,7,8,9,10,4]=>[4,10,9,8,7,6,1,3,5,2]
[6,1,5,4,2,7,8,9,10,3]=>[3,10,9,8,7,2,4,5,1,6]
[7,1,4,6,5,2,8,9,10,3]=>[3,10,9,8,2,5,6,4,1,7]
[2,8,4,5,7,6,1,9,10,3]=>[3,10,9,1,6,7,5,4,8,2]
[9,1,4,5,6,8,7,2,10,3]=>[3,10,2,7,8,6,5,4,1,9]
[10,1,4,5,6,7,9,8,2,3]=>[3,2,8,9,7,6,5,4,1,10]
[1,3,2,5,10,9,8,7,6,4]=>[4,6,7,8,9,10,5,2,3,1]
[1,3,2,5,7,10,9,8,6,4]=>[4,6,8,9,10,7,5,2,3,1]
[1,3,2,5,7,9,10,8,6,4]=>[4,6,8,10,9,7,5,2,3,1]
[1,3,5,2,6,8,10,9,7,4]=>[4,7,9,10,8,6,2,5,3,1]
[1,2,4,6,3,7,9,10,8,5]=>[5,8,10,9,7,3,6,4,2,1]
[1,3,2,5,4,7,9,10,8,6]=>[6,8,10,9,7,4,5,2,3,1]
[1,2,3,5,4,7,9,10,8,6]=>[6,8,10,9,7,4,5,3,2,1]
[1,2,4,3,6,5,8,10,9,7]=>[7,9,10,8,5,6,3,4,2,1]
[1,2,3,4,6,5,8,10,9,7]=>[7,9,10,8,5,6,4,3,2,1]
[1,4,3,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,3,4,1]
[1,2,3,4,5,10,8,9,6,7]=>[7,6,9,8,10,5,4,3,2,1]
[1,2,3,4,5,10,7,8,6,9]=>[9,6,8,7,10,5,4,3,2,1]
[1,2,3,8,6,7,4,5,9,10]=>[10,9,5,4,7,6,8,3,2,1]
[1,2,3,10,8,9,6,7,4,5]=>[5,4,7,6,9,8,10,3,2,1]
[1,2,3,10,7,8,4,5,6,9]=>[9,6,5,4,8,7,10,3,2,1]
[1,2,3,8,5,6,4,7,9,10]=>[10,9,7,4,6,5,8,3,2,1]
[1,2,3,10,8,9,5,6,4,7]=>[7,4,6,5,9,8,10,3,2,1]
[1,2,3,10,7,8,4,9,5,6]=>[6,5,9,4,8,7,10,3,2,1]
[1,2,3,10,6,7,4,9,5,8]=>[8,5,9,4,7,6,10,3,2,1]
[1,4,2,3,5,10,8,9,6,7]=>[7,6,9,8,10,5,3,2,4,1]
[1,4,2,3,5,10,7,8,6,9]=>[9,6,8,7,10,5,3,2,4,1]
[1,6,4,5,2,3,7,8,9,10]=>[10,9,8,7,3,2,5,4,6,1]
[1,6,4,5,2,3,7,10,8,9]=>[9,8,10,7,3,2,5,4,6,1]
[1,8,6,7,4,5,2,3,9,10]=>[10,9,3,2,5,4,7,6,8,1]
[1,10,8,9,6,7,4,5,2,3]=>[3,2,5,4,7,6,9,8,10,1]
[1,10,7,8,4,5,2,3,6,9]=>[9,6,3,2,5,4,8,7,10,1]
[1,8,5,6,2,3,4,7,9,10]=>[10,9,7,4,3,2,6,5,8,1]
[1,10,8,9,5,6,2,3,4,7]=>[7,4,3,2,6,5,9,8,10,1]
[1,10,7,8,4,9,5,6,2,3]=>[3,2,6,5,9,4,8,7,10,1]
[1,10,6,7,2,3,4,9,5,8]=>[8,5,9,4,3,2,7,6,10,1]
[1,6,3,4,2,5,7,8,9,10]=>[10,9,8,7,5,2,4,3,6,1]
[1,6,3,4,2,5,7,10,8,9]=>[9,8,10,7,5,2,4,3,6,1]
[1,8,6,7,3,4,2,5,9,10]=>[10,9,5,2,4,3,7,6,8,1]
[1,10,8,9,6,7,3,4,2,5]=>[5,2,4,3,7,6,9,8,10,1]
[1,10,7,8,3,4,2,5,6,9]=>[9,6,5,2,4,3,8,7,10,1]
[1,8,5,6,2,7,3,4,9,10]=>[10,9,4,3,7,2,6,5,8,1]
[1,10,8,9,5,6,2,7,3,4]=>[4,3,7,2,6,5,9,8,10,1]
[1,10,7,8,3,4,2,9,5,6]=>[6,5,9,2,4,3,8,7,10,1]
[1,10,6,7,2,9,5,8,3,4]=>[4,3,8,5,9,2,7,6,10,1]
[1,8,4,5,2,7,3,6,9,10]=>[10,9,6,3,7,2,5,4,8,1]
[1,10,8,9,4,5,2,7,3,6]=>[6,3,7,2,5,4,9,8,10,1]
[1,10,7,8,3,6,2,9,4,5]=>[5,4,9,2,6,3,8,7,10,1]
[1,10,6,7,2,9,4,5,3,8]=>[8,3,5,4,9,2,7,6,10,1]
[2,3,4,5,6,8,9,7,10,1]=>[1,10,7,9,8,6,5,4,3,2]
[2,3,4,5,6,9,7,10,8,1]=>[1,8,10,7,9,6,5,4,3,2]
[3,1,4,5,8,9,6,7,10,2]=>[2,10,7,6,9,8,5,4,1,3]
[9,2,3,4,5,7,10,6,1,8]=>[8,1,6,10,7,5,4,3,2,9]
[4,2,1,5,9,6,10,7,8,3]=>[3,8,7,10,6,9,5,1,2,4]
[2,3,4,5,8,6,7,10,1,9]=>[9,1,10,7,6,8,5,4,3,2]
[8,1,9,3,4,5,6,7,2,10]=>[10,2,7,6,5,4,3,9,1,8]
[8,10,1,9,4,5,6,7,3,2]=>[2,3,7,6,5,4,9,1,10,8]
[7,9,8,3,4,5,6,10,2,1]=>[1,2,10,6,5,4,3,8,9,7]
[3,4,10,2,9,5,6,7,8,1]=>[1,8,7,6,5,9,2,10,4,3]
[9,8,3,1,4,5,6,7,10,2]=>[2,10,7,6,5,4,1,3,8,9]
[3,1,4,10,6,7,8,9,2,5]=>[5,2,9,8,7,6,10,4,1,3]
[3,1,4,5,10,7,8,9,2,6]=>[6,2,9,8,7,10,5,4,1,3]
[3,1,4,5,6,10,8,9,2,7]=>[7,2,9,8,10,6,5,4,1,3]
[3,1,4,5,6,7,10,9,2,8]=>[8,2,9,10,7,6,5,4,1,3]
[1,10,8,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,8,10,1]
[1,8,2,10,9,3,4,5,6,7]=>[7,6,5,4,3,9,10,2,8,1]
[2,10,1,8,9,3,4,5,6,7]=>[7,6,5,4,3,9,8,1,10,2]
[8,7,10,2,3,4,5,6,1,9]=>[9,1,6,5,4,3,2,10,7,8]
[3,2,8,1,10,9,4,5,6,7]=>[7,6,5,4,9,10,1,8,2,3]
[9,2,8,10,3,4,5,6,7,1]=>[1,7,6,5,4,3,10,8,2,9]
[3,4,5,6,1,2,7,8,9,10]=>[10,9,8,7,2,1,6,5,4,3]
[3,4,5,6,7,1,2,8,9,10]=>[10,9,8,2,1,7,6,5,4,3]
[5,3,6,1,4,7,8,9,10,2]=>[2,10,9,8,7,4,1,6,3,5]
[6,3,7,8,1,4,5,9,10,2]=>[2,10,9,5,4,1,8,7,3,6]
[7,8,4,5,9,1,2,6,10,3]=>[3,10,6,2,1,9,5,4,8,7]
[7,5,8,3,6,1,4,9,10,2]=>[2,10,9,4,1,6,3,8,5,7]
[8,5,9,3,6,10,1,4,7,2]=>[2,7,4,1,10,6,3,9,5,8]
[5,8,1,2,4,3,10,7,9,6]=>[6,9,7,10,3,4,2,1,8,5]
[8,1,7,10,3,4,6,5,9,2]=>[2,9,5,6,4,3,10,7,1,8]
[5,7,1,10,2,4,6,3,9,8]=>[8,9,3,6,4,2,10,1,7,5]
[7,10,1,2,3,4,6,5,9,8]=>[8,9,5,6,4,3,2,1,10,7]
[7,10,1,2,4,5,6,3,9,8]=>[8,9,3,6,5,4,2,1,10,7]
[6,1,10,2,3,5,4,7,9,8]=>[8,9,7,4,5,3,2,10,1,6]
[5,10,1,2,4,3,7,8,9,6]=>[6,9,8,7,3,4,2,1,10,5]
[1,6,9,2,3,5,4,8,7,10]=>[10,7,8,4,5,3,2,9,6,1]
[8,2,10,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,10,2,8]
[8,3,10,9,7,6,5,4,2,1]=>[1,2,4,5,6,7,9,10,3,8]
[4,9,10,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,10,9,4]
[8,5,10,9,7,6,4,3,2,1]=>[1,2,3,4,6,7,9,10,5,8]
[8,6,10,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,10,6,8]
[9,1,8,10,7,6,5,4,3,2]=>[2,3,4,5,6,7,10,8,1,9]
[2,3,10,8,9,7,6,5,4,1]=>[1,4,5,6,7,9,8,10,3,2]
[3,4,10,9,7,8,6,5,2,1]=>[1,2,5,6,8,7,9,10,4,3]
[9,4,10,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,10,4,9]
[5,6,10,9,8,7,3,4,2,1]=>[1,2,4,3,7,8,9,10,6,5]
[6,7,10,9,8,5,4,2,3,1]=>[1,3,2,4,5,8,9,10,7,6]
[6,7,4,8,10,5,3,9,2,1]=>[1,2,9,3,5,10,8,4,7,6]
[5,6,3,7,10,4,2,9,1,8]=>[8,1,9,2,4,10,7,3,6,5]
[6,7,2,8,10,5,1,9,4,3]=>[3,4,9,1,5,10,8,2,7,6]
[5,6,2,7,10,4,1,9,3,8]=>[8,3,9,1,4,10,7,2,6,5]
[3,4,8,5,10,2,7,9,1,6]=>[6,1,9,7,2,10,5,8,4,3]
[8,9,6,2,10,7,5,1,4,3]=>[3,4,1,5,7,10,2,6,9,8]
[8,9,6,3,10,7,5,2,4,1]=>[1,4,2,5,7,10,3,6,9,8]
[8,9,2,4,10,7,1,3,6,5]=>[5,6,3,1,7,10,4,2,9,8]
[8,9,2,5,10,7,1,4,6,3]=>[3,6,4,1,7,10,5,2,9,8]
[8,9,3,5,10,7,2,4,6,1]=>[1,6,4,2,7,10,5,3,9,8]
[2,3,5,7,10,1,4,6,9,8]=>[8,9,6,4,1,10,7,5,3,2]
[2,3,5,8,10,1,4,7,9,6]=>[6,9,7,4,1,10,8,5,3,2]
[2,3,6,8,10,1,5,7,9,4]=>[4,9,7,5,1,10,8,6,3,2]
[3,4,6,8,10,2,5,7,9,1]=>[1,9,7,5,2,10,8,6,4,3]
[2,7,3,8,10,1,6,9,5,4]=>[4,5,9,6,1,10,8,3,7,2]
[2,6,3,7,10,1,5,9,4,8]=>[8,4,9,5,1,10,7,3,6,2]
[4,7,5,8,10,3,6,9,2,1]=>[1,2,9,6,3,10,8,5,7,4]
[3,6,4,7,10,2,5,9,1,8]=>[8,1,9,5,2,10,7,4,6,3]
[2,9,3,5,10,1,8,4,7,6]=>[6,7,4,8,1,10,5,3,9,2]
[2,9,3,6,10,1,8,5,7,4]=>[4,7,5,8,1,10,6,3,9,2]
[6,9,7,2,10,5,8,1,4,3]=>[3,4,1,8,5,10,2,7,9,6]
[6,9,7,3,10,5,8,2,4,1]=>[1,4,2,8,5,10,3,7,9,6]
[3,9,4,6,10,2,8,5,1,7]=>[7,1,5,8,2,10,6,4,9,3]
[4,2,5,7,10,3,1,6,9,8]=>[8,9,6,1,3,10,7,5,2,4]
[4,2,5,8,10,3,1,7,9,6]=>[6,9,7,1,3,10,8,5,2,4]
[5,3,6,8,10,4,2,7,9,1]=>[1,9,7,2,4,10,8,6,3,5]
[5,2,6,8,10,4,1,7,9,3]=>[3,9,7,1,4,10,8,6,2,5]
[4,9,2,5,10,3,8,1,7,6]=>[6,7,1,8,3,10,5,2,9,4]
[5,9,3,6,10,4,8,2,7,1]=>[1,7,2,8,4,10,6,3,9,5]
[4,9,7,5,10,3,8,6,2,1]=>[1,2,6,8,3,10,5,7,9,4]
[3,9,7,4,10,2,8,6,1,5]=>[5,1,6,8,2,10,4,7,9,3]
[5,9,2,6,10,4,8,1,3,7]=>[7,3,1,8,4,10,6,2,9,5]
[6,4,2,7,10,5,3,1,9,8]=>[8,9,1,3,5,10,7,2,4,6]
[7,5,3,8,10,6,4,2,9,1]=>[1,9,2,4,6,10,8,3,5,7]
[7,5,2,8,10,6,4,1,9,3]=>[3,9,1,4,6,10,8,2,5,7]
[7,2,4,8,10,6,1,3,9,5]=>[5,9,3,1,6,10,8,4,2,7]
[9,7,5,2,10,8,6,4,1,3]=>[3,1,4,6,8,10,2,5,7,9]
[9,7,2,4,10,8,6,1,3,5]=>[5,3,1,6,8,10,4,2,7,9]
[9,2,4,6,10,8,1,3,5,7]=>[7,5,3,1,8,10,6,4,2,9]
[5,6,10,3,9,4,8,1,7,2]=>[2,7,1,8,4,9,3,10,6,5]
[8,3,7,6,5,4,10,1,9,2]=>[2,9,1,10,4,5,6,7,3,8]
[10,3,7,6,4,9,1,8,5,2]=>[2,5,8,1,9,4,6,7,3,10]
[10,3,9,4,8,1,7,6,5,2]=>[2,5,6,7,1,8,4,9,3,10]
[8,3,7,4,5,6,10,1,9,2]=>[2,9,1,10,6,5,4,7,3,8]
[10,3,9,4,5,6,8,1,7,2]=>[2,7,1,8,6,5,4,9,3,10]
[3,7,4,6,5,8,10,1,9,2]=>[2,9,1,10,8,5,6,4,7,3]
[7,4,6,5,10,1,9,8,3,2]=>[2,3,8,9,1,10,5,6,4,7]
[10,4,9,8,5,7,1,6,3,2]=>[2,3,6,1,7,5,8,9,4,10]
[4,5,6,7,10,1,9,8,3,2]=>[2,3,8,9,1,10,7,6,5,4]
[5,6,10,1,9,8,7,4,3,2]=>[2,3,4,7,8,9,1,10,6,5]
[5,6,10,1,9,2,8,3,7,4]=>[4,7,3,8,2,9,1,10,6,5]
[10,1,7,6,2,9,3,8,5,4]=>[4,5,8,3,9,2,6,7,1,10]
[8,1,7,4,5,10,2,9,3,6]=>[6,3,9,2,10,5,4,7,1,8]
[10,1,9,4,5,8,2,7,3,6]=>[6,3,7,2,8,5,4,9,1,10]
[7,4,6,5,10,1,9,2,3,8]=>[8,3,2,9,1,10,5,6,4,7]
[1,7,4,6,5,9,2,8,3,10]=>[10,3,8,2,9,5,6,4,7,1]
[1,9,4,8,5,7,2,6,3,10]=>[10,3,6,2,7,5,8,4,9,1]
[4,5,6,7,10,1,9,2,3,8]=>[8,3,2,9,1,10,7,6,5,4]
[1,4,5,6,7,9,2,8,3,10]=>[10,3,8,2,9,7,6,5,4,1]
[1,5,6,9,2,8,7,4,3,10]=>[10,3,4,7,8,2,9,6,5,1]
[7,1,6,2,3,10,4,9,5,8]=>[8,5,9,4,10,3,2,6,1,7]
[1,7,2,6,3,9,4,8,5,10]=>[10,5,8,4,9,3,6,2,7,1]
[5,6,10,1,9,2,3,4,7,8]=>[8,7,4,3,2,9,1,10,6,5]
[1,5,6,9,2,8,3,4,7,10]=>[10,7,4,3,8,2,9,6,5,1]
[1,2,5,6,8,3,7,4,9,10]=>[10,9,4,7,3,8,6,5,2,1]
[1,2,8,3,7,6,5,4,9,10]=>[10,9,4,5,6,7,3,8,2,1]
[1,9,2,8,3,4,5,6,7,10]=>[10,7,6,5,4,3,8,2,9,1]
[1,2,8,3,7,4,5,6,9,10]=>[10,9,6,5,4,7,3,8,2,1]
[5,10,4,9,3,1,8,2,7,6]=>[6,7,2,8,1,3,9,4,10,5]
[2,1,4,3,8,9,7,10,6,5]=>[5,6,10,7,9,8,3,4,1,2]
[2,1,6,7,5,8,4,3,10,9]=>[9,10,3,4,8,5,7,6,1,2]
[2,1,8,7,5,9,4,10,6,3]=>[3,6,10,4,9,5,7,8,1,2]
[2,1,6,8,5,7,10,4,9,3]=>[3,9,4,10,7,5,8,6,1,2]
[2,1,8,5,9,6,7,10,4,3]=>[3,4,10,7,6,9,5,8,1,2]
[2,1,4,7,9,6,10,8,5,3]=>[3,5,8,10,6,9,7,4,1,2]
[2,4,3,1,8,9,7,10,6,5]=>[5,6,10,7,9,8,1,3,4,2]
[4,5,3,6,2,1,8,7,10,9]=>[9,10,7,8,1,2,6,3,5,4]
[4,5,3,6,2,1,8,10,9,7]=>[7,9,10,8,1,2,6,3,5,4]
[6,5,3,7,2,8,4,1,10,9]=>[9,10,1,4,8,2,7,3,5,6]
[8,5,3,7,2,9,4,10,6,1]=>[1,6,10,4,9,2,7,3,5,8]
[6,5,3,8,2,7,10,4,9,1]=>[1,9,4,10,7,2,8,3,5,6]
[4,6,3,5,8,2,7,1,10,9]=>[9,10,1,7,2,8,5,3,6,4]
[8,6,3,5,9,2,7,10,4,1]=>[1,4,10,7,2,9,5,3,6,8]
[4,6,3,7,9,2,10,8,5,1]=>[1,5,8,10,2,9,7,3,6,4]
[4,7,3,5,6,10,2,8,9,1]=>[1,9,8,2,10,6,5,3,7,4]
[6,3,7,4,5,8,2,1,10,9]=>[9,10,1,2,8,5,4,7,3,6]
[8,3,7,4,5,9,2,10,6,1]=>[1,6,10,2,9,5,4,7,3,8]
[6,3,8,4,5,7,10,2,9,1]=>[1,9,2,10,7,5,4,8,3,6]
[2,5,7,4,8,6,3,1,10,9]=>[9,10,1,3,6,8,4,7,5,2]
[8,5,7,4,9,6,3,10,2,1]=>[1,2,10,3,6,9,4,7,5,8]
[2,7,8,4,9,6,10,3,5,1]=>[1,5,3,10,6,9,4,8,7,2]
[2,5,8,4,6,10,7,3,9,1]=>[1,9,3,7,10,6,4,8,5,2]
[8,3,4,9,5,6,7,10,2,1]=>[1,2,10,7,6,5,9,4,3,8]
[2,7,4,9,5,6,10,8,3,1]=>[1,3,8,10,6,5,9,4,7,2]
[2,3,6,9,5,10,7,8,4,1]=>[1,4,8,7,10,5,9,6,3,2]
[10,1,9,2,6,7,8,3,5,4]=>[4,5,3,8,7,6,2,9,1,10]
[10,1,9,2,4,7,8,5,6,3]=>[3,6,5,8,7,4,2,9,1,10]
[10,1,7,8,9,2,6,3,5,4]=>[4,5,3,6,2,9,8,7,1,10]
[10,1,5,8,9,6,7,2,4,3]=>[3,4,2,7,6,9,8,5,1,10]
[10,1,3,8,9,6,7,4,5,2]=>[2,5,4,7,6,9,8,3,1,10]
[10,1,3,8,9,4,5,6,7,2]=>[2,7,6,5,4,9,8,3,1,10]
[10,1,5,6,7,8,9,2,4,3]=>[3,4,2,9,8,7,6,5,1,10]
[10,1,3,6,7,8,9,4,5,2]=>[2,5,4,9,8,7,6,3,1,10]
[10,1,3,4,7,8,5,6,9,2]=>[2,9,6,5,8,7,4,3,1,10]
[8,9,10,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,10,9,8]
[8,9,10,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,10,9,8]
[6,9,10,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,10,9,6]
[6,9,10,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,10,9,6]
[4,9,10,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,10,9,4]
[4,9,10,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,10,9,4]
[4,7,8,9,10,5,6,1,3,2]=>[2,3,1,6,5,10,9,8,7,4]
[4,5,8,9,6,7,10,1,3,2]=>[2,3,1,10,7,6,9,8,5,4]
[5,6,4,7,3,8,1,10,9,2]=>[2,9,10,1,8,3,7,4,6,5]
[5,6,4,9,10,7,1,8,3,2]=>[2,3,8,1,7,10,9,4,6,5]
[5,6,4,9,10,1,3,8,2,7]=>[7,2,8,3,1,10,9,4,6,5]
[5,6,4,7,3,9,2,1,10,8]=>[8,10,1,2,9,3,7,4,6,5]
[3,1,10,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,10,1,3]
[10,4,1,5,7,2,8,3,6,9]=>[9,6,3,8,2,7,5,1,4,10]
[7,4,1,5,6,2,10,3,8,9]=>[9,8,3,10,2,6,5,1,4,7]
[8,4,1,10,7,2,3,5,6,9]=>[9,6,5,3,2,7,10,1,4,8]
[10,4,1,7,6,2,3,5,8,9]=>[9,8,5,3,2,6,7,1,4,10]
[10,4,1,5,6,2,3,7,8,9]=>[9,8,7,3,2,6,5,1,4,10]
[5,4,1,2,10,7,8,3,6,9]=>[9,6,3,8,7,10,2,1,4,5]
[5,4,1,2,6,7,10,3,8,9]=>[9,8,3,10,7,6,2,1,4,5]
[10,4,1,2,8,7,3,5,6,9]=>[9,6,5,3,7,8,2,1,4,10]
[10,4,1,2,6,7,3,5,8,9]=>[9,8,5,3,7,6,2,1,4,10]
[5,4,1,2,6,10,3,7,8,9]=>[9,8,7,3,10,6,2,1,4,5]
[10,8,1,2,3,7,4,5,6,9]=>[9,6,5,4,7,3,2,1,8,10]
[10,6,1,2,3,7,4,5,8,9]=>[9,8,5,4,7,3,2,1,6,10]
[2,3,5,6,4,7,8,9,1,10]=>[10,1,9,8,7,4,6,5,3,2]
[1,2,8,10,3,7,4,6,5,9]=>[9,5,6,4,7,3,10,8,2,1]
[1,2,10,8,3,7,4,6,5,9]=>[9,5,6,4,7,3,8,10,2,1]
[1,9,8,10,2,3,7,4,6,5]=>[5,6,4,7,3,2,10,8,9,1]
[1,3,7,10,2,8,4,6,5,9]=>[9,5,6,4,8,2,10,7,3,1]
[1,8,2,10,7,3,4,6,5,9]=>[9,5,6,4,3,7,10,2,8,1]
[1,2,10,8,9,3,7,4,6,5]=>[5,6,4,7,3,9,8,10,2,1]
[3,10,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,10,3]
[3,10,9,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,9,10,3]
[3,10,9,8,7,6,1,5,4,2]=>[2,4,5,1,6,7,8,9,10,3]
[1,3,2,5,6,4,9,10,7,8]=>[8,7,10,9,4,6,5,2,3,1]
[1,3,2,6,9,4,7,10,5,8]=>[8,5,10,7,4,9,6,2,3,1]
[1,3,5,4,6,2,9,10,7,8]=>[8,7,10,9,2,6,4,5,3,1]
[1,3,6,4,9,5,7,10,2,8]=>[8,2,10,7,5,9,4,6,3,1]
[1,5,9,4,6,2,7,10,3,8]=>[8,3,10,7,2,6,4,9,5,1]
[1,3,8,4,10,5,7,9,2,6]=>[6,2,9,7,5,10,4,8,3,1]
[1,5,10,4,8,2,7,9,3,6]=>[6,3,9,7,2,8,4,10,5,1]
[3,2,1,5,6,4,9,10,7,8]=>[8,7,10,9,4,6,5,1,2,3]
[3,2,1,6,9,4,7,10,5,8]=>[8,5,10,7,4,9,6,1,2,3]
[5,2,1,4,6,3,9,10,7,8]=>[8,7,10,9,3,6,4,1,2,5]
[6,2,1,4,9,5,7,10,3,8]=>[8,3,10,7,5,9,4,1,2,6]
[9,2,1,5,6,3,7,10,4,8]=>[8,4,10,7,3,6,5,1,2,9]
[8,2,1,4,10,5,7,9,3,6]=>[6,3,9,7,5,10,4,1,2,8]
[10,2,1,5,8,3,7,9,4,6]=>[6,4,9,7,3,8,5,1,2,10]
[5,3,1,4,6,2,9,10,7,8]=>[8,7,10,9,2,6,4,1,3,5]
[6,3,1,4,9,5,7,10,2,8]=>[8,2,10,7,5,9,4,1,3,6]
[9,3,1,5,6,4,7,10,2,8]=>[8,2,10,7,4,6,5,1,3,9]
[5,3,9,4,6,1,7,10,2,8]=>[8,2,10,7,1,6,4,9,3,5]
[8,3,1,4,10,5,7,9,2,6]=>[6,2,9,7,5,10,4,1,3,8]
[10,3,1,5,8,4,7,9,2,6]=>[6,2,9,7,4,8,5,1,3,10]
[5,3,10,4,8,1,7,9,2,6]=>[6,2,9,7,1,8,4,10,3,5]
[6,2,1,5,3,4,9,10,7,8]=>[8,7,10,9,4,3,5,1,2,6]
[9,2,1,5,3,4,7,10,6,8]=>[8,6,10,7,4,3,5,1,2,9]
[6,2,1,5,9,3,7,10,4,8]=>[8,4,10,7,3,9,5,1,2,6]
[10,2,1,5,3,4,8,9,6,7]=>[7,6,9,8,4,3,5,1,2,10]
[6,2,1,5,10,3,8,9,4,7]=>[7,4,9,8,3,10,5,1,2,6]
[6,3,1,5,2,4,9,10,7,8]=>[8,7,10,9,4,2,5,1,3,6]
[9,3,1,5,2,4,7,10,6,8]=>[8,6,10,7,4,2,5,1,3,9]
[6,3,1,5,9,4,7,10,2,8]=>[8,2,10,7,4,9,5,1,3,6]
[5,3,6,4,9,1,7,10,2,8]=>[8,2,10,7,1,9,4,6,3,5]
[10,3,1,5,2,4,8,9,6,7]=>[7,6,9,8,4,2,5,1,3,10]
[6,3,1,5,10,4,8,9,2,7]=>[7,2,9,8,4,10,5,1,3,6]
[5,3,6,4,10,1,8,9,2,7]=>[7,2,9,8,1,10,4,6,3,5]
[8,3,1,6,10,5,7,9,2,4]=>[4,2,9,7,5,10,6,1,3,8]
[6,3,8,4,10,2,7,9,1,5]=>[5,1,9,7,2,10,4,8,3,6]
[9,2,1,5,3,4,8,10,6,7]=>[7,6,10,8,4,3,5,1,2,9]
[6,2,1,5,9,3,8,10,4,7]=>[7,4,10,8,3,9,5,1,2,6]
[9,3,1,5,2,4,8,10,6,7]=>[7,6,10,8,4,2,5,1,3,9]
[6,3,1,5,9,4,8,10,2,7]=>[7,2,10,8,4,9,5,1,3,6]
[5,3,6,4,9,1,8,10,2,7]=>[7,2,10,8,1,9,4,6,3,5]
[8,3,1,6,9,5,7,10,2,4]=>[4,2,10,7,5,9,6,1,3,8]
[6,3,8,4,9,2,7,10,1,5]=>[5,1,10,7,2,9,4,8,3,6]
[3,5,7,9,10,1,8,6,4,2]=>[2,4,6,8,1,10,9,7,5,3]
[10,4,5,6,9,2,8,3,7,1]=>[1,7,3,8,2,9,6,5,4,10]
[4,5,6,10,2,9,3,8,7,1]=>[1,7,8,3,9,2,10,6,5,4]
[10,4,5,9,2,8,3,6,7,1]=>[1,7,6,3,8,2,9,5,4,10]
[4,5,10,2,9,3,8,6,7,1]=>[1,7,6,8,3,9,2,10,5,4]
[4,5,10,9,2,8,3,6,7,1]=>[1,7,6,3,8,2,9,10,5,4]
[10,5,4,2,9,3,8,6,7,1]=>[1,7,6,8,3,9,2,4,5,10]
[10,9,5,4,2,8,3,6,7,1]=>[1,7,6,3,8,2,4,5,9,10]
[10,4,5,6,9,2,8,1,7,3]=>[3,7,1,8,2,9,6,5,4,10]
[4,5,6,10,2,9,1,8,7,3]=>[3,7,8,1,9,2,10,6,5,4]
[10,4,5,9,2,6,8,1,7,3]=>[3,7,1,8,6,2,9,5,4,10]
[4,5,10,2,9,6,8,1,7,3]=>[3,7,1,8,6,9,2,10,5,4]
[4,5,10,2,6,9,8,1,7,3]=>[3,7,1,8,9,6,2,10,5,4]
[10,5,4,2,9,6,8,1,7,3]=>[3,7,1,8,6,9,2,4,5,10]
[10,5,4,2,6,9,8,1,7,3]=>[3,7,1,8,9,6,2,4,5,10]
[10,4,5,9,2,8,1,7,3,6]=>[6,3,7,1,8,2,9,5,4,10]
[4,5,10,2,9,1,8,3,7,6]=>[6,7,3,8,1,9,2,10,5,4]
[4,5,10,2,9,1,8,7,3,6]=>[6,3,7,8,1,9,2,10,5,4]
[4,5,9,2,8,1,7,3,6,10]=>[10,6,3,7,1,8,2,9,5,4]
[10,5,4,2,9,1,8,3,7,6]=>[6,7,3,8,1,9,2,4,5,10]
[10,5,4,2,9,1,8,7,3,6]=>[6,3,7,8,1,9,2,4,5,10]
[9,5,4,2,8,1,7,3,6,10]=>[10,6,3,7,1,8,2,4,5,9]
[10,4,9,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,9,4,10]
[4,10,2,9,5,6,8,1,7,3]=>[3,7,1,8,6,5,9,2,10,4]
[4,10,2,5,6,9,8,1,7,3]=>[3,7,1,8,9,6,5,2,10,4]
[10,4,2,9,5,6,8,1,7,3]=>[3,7,1,8,6,5,9,2,4,10]
[10,4,2,5,6,9,8,1,7,3]=>[3,7,1,8,9,6,5,2,4,10]
[10,4,9,2,5,8,1,7,3,6]=>[6,3,7,1,8,5,2,9,4,10]
[4,10,2,9,5,8,1,7,3,6]=>[6,3,7,1,8,5,9,2,10,4]
[4,10,2,5,9,1,8,7,3,6]=>[6,3,7,8,1,9,5,2,10,4]
[4,9,2,5,8,1,7,3,6,10]=>[10,6,3,7,1,8,5,2,9,4]
[10,4,2,9,5,8,1,7,3,6]=>[6,3,7,1,8,5,9,2,4,10]
[10,4,2,5,9,1,8,7,3,6]=>[6,3,7,8,1,9,5,2,4,10]
[9,4,2,5,8,1,7,3,6,10]=>[10,6,3,7,1,8,5,2,4,9]
[4,2,5,10,1,9,3,8,7,6]=>[6,7,8,3,9,1,10,5,2,4]
[4,2,5,9,1,8,3,7,6,10]=>[10,6,7,3,8,1,9,5,2,4]
[10,2,9,5,6,8,4,1,7,3]=>[3,7,1,4,8,6,5,9,2,10]
[10,2,5,6,9,8,4,1,7,3]=>[3,7,1,4,8,9,6,5,2,10]
[10,2,9,5,8,4,1,7,3,6]=>[6,3,7,1,4,8,5,9,2,10]
[10,2,5,9,4,1,8,7,3,6]=>[6,3,7,8,1,4,9,5,2,10]
[9,2,5,8,4,1,7,3,6,10]=>[10,6,3,7,1,4,8,5,2,9]
[5,10,2,4,1,9,3,8,7,6]=>[6,7,8,3,9,1,4,2,10,5]
[5,1,4,3,2,6,7,8,9,10]=>[10,9,8,7,6,2,3,4,1,5]
[7,1,6,5,4,3,2,8,9,10]=>[10,9,8,2,3,4,5,6,1,7]
[6,5,2,1,3,4,7,8,9,10]=>[10,9,8,7,4,3,1,2,5,6]
[8,7,2,1,6,5,3,4,9,10]=>[10,9,4,3,5,6,1,2,7,8]
[7,4,6,3,1,2,5,8,9,10]=>[10,9,8,5,2,1,3,6,4,7]
[4,7,1,2,6,5,3,8,9,10]=>[10,9,8,3,5,6,2,1,7,4]
[10,9,2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2,9,10]
[9,8,7,3,2,1,4,5,6,10]=>[10,6,5,4,1,2,3,7,8,9]
[9,4,8,3,1,7,6,2,5,10]=>[10,5,2,6,7,1,3,8,4,9]
[4,9,1,2,8,7,6,5,3,10]=>[10,3,5,6,7,8,2,1,9,4]
[8,5,1,7,4,2,3,6,9,10]=>[10,9,6,3,2,4,7,1,5,8]
[10,9,5,8,4,3,1,2,6,7]=>[7,6,2,1,3,4,8,5,9,10]
[10,5,1,9,4,2,8,7,3,6]=>[6,3,7,8,2,4,9,1,5,10]
[7,9,6,3,8,1,2,5,4,10]=>[10,4,5,2,1,8,3,6,9,7]
[4,9,6,1,8,5,2,3,7,10]=>[10,7,3,2,5,8,1,6,9,4]
[5,6,9,1,2,3,8,7,4,10]=>[10,4,7,8,3,2,1,9,6,5]
[8,7,10,9,2,1,4,3,5,6]=>[6,5,3,4,1,2,9,10,7,8]
[8,5,10,7,4,9,1,2,6,3]=>[3,6,2,1,9,4,7,10,5,8]
[5,10,7,1,2,9,6,3,4,8]=>[8,4,3,6,9,2,1,7,10,5]
[2,3,4,5,6,8,1,10,7,9]=>[9,7,10,1,8,6,5,4,3,2]
[4,6,8,10,3,2,1,7,5,9]=>[9,5,7,1,2,3,10,8,6,4]
[5,7,9,1,2,3,10,6,4,8]=>[8,4,6,10,3,2,1,9,7,5]
[4,6,8,10,3,2,7,5,1,9]=>[9,1,5,7,2,3,10,8,6,4]
[4,6,8,1,2,10,7,5,3,9]=>[9,3,5,7,10,2,1,8,6,4]
[4,7,9,1,2,6,5,3,10,8]=>[8,10,3,5,6,2,1,9,7,4]
[5,7,2,3,8,10,6,4,1,9]=>[9,1,4,6,10,8,3,2,7,5]
[6,8,2,3,9,5,4,1,10,7]=>[7,10,1,4,5,9,3,2,8,6]
[4,6,8,10,3,2,1,7,9,5]=>[5,9,7,1,2,3,10,8,6,4]
[5,7,9,1,2,3,10,6,8,4]=>[4,8,6,10,3,2,1,9,7,5]
[4,6,8,10,3,2,7,1,9,5]=>[5,9,1,7,2,3,10,8,6,4]
[4,6,8,1,2,10,7,3,9,5]=>[5,9,3,7,10,2,1,8,6,4]
[4,7,9,1,2,6,3,10,8,5]=>[5,8,10,3,6,2,1,9,7,4]
[5,7,2,3,8,10,6,1,9,4]=>[4,9,1,6,10,8,3,2,7,5]
[6,8,2,3,9,5,1,10,7,4]=>[4,7,10,1,5,9,3,2,8,6]
[4,6,8,10,3,2,7,9,5,1]=>[1,5,9,7,2,3,10,8,6,4]
[4,6,8,1,2,10,7,9,5,3]=>[3,5,9,7,10,2,1,8,6,4]
[4,7,9,1,2,6,10,8,5,3]=>[3,5,8,10,6,2,1,9,7,4]
[4,7,9,1,2,6,8,5,3,10]=>[10,3,5,8,6,2,1,9,7,4]
[5,7,2,3,8,10,6,9,4,1]=>[1,4,9,6,10,8,3,2,7,5]
[6,8,2,3,9,5,10,7,4,1]=>[1,4,7,10,5,9,3,2,8,6]
[6,8,2,3,9,5,7,4,1,10]=>[10,1,4,7,5,9,3,2,8,6]
[3,5,8,10,2,7,4,1,9,6]=>[6,9,1,4,7,2,10,8,5,3]
[3,5,8,1,10,7,4,2,9,6]=>[6,9,2,4,7,10,1,8,5,3]
[4,7,9,1,6,3,2,10,8,5]=>[5,8,10,2,3,6,1,9,7,4]
[4,7,2,8,10,6,3,1,9,5]=>[5,9,1,3,6,10,8,2,7,4]
[6,8,3,9,5,2,1,10,7,4]=>[4,7,10,1,2,5,9,3,8,6]
[3,5,8,10,2,7,4,9,6,1]=>[1,6,9,4,7,2,10,8,5,3]
[3,5,8,1,10,7,4,9,6,2]=>[2,6,9,4,7,10,1,8,5,3]
[4,7,9,1,6,3,10,8,5,2]=>[2,5,8,10,3,6,1,9,7,4]
[4,7,9,1,6,3,8,5,2,10]=>[10,2,5,8,3,6,1,9,7,4]
[4,7,2,8,10,6,3,9,5,1]=>[1,5,9,3,6,10,8,2,7,4]
[6,8,3,9,5,2,10,7,4,1]=>[1,4,7,10,2,5,9,3,8,6]
[6,8,3,9,5,2,7,4,1,10]=>[10,1,4,7,2,5,9,3,8,6]
[5,7,3,4,1,9,10,8,6,2]=>[2,6,8,10,9,1,4,3,7,5]
[5,7,3,4,1,9,8,6,2,10]=>[10,2,6,8,9,1,4,3,7,5]
[4,2,7,8,10,6,3,1,9,5]=>[5,9,1,3,6,10,8,7,2,4]
[6,3,8,9,5,2,1,10,7,4]=>[4,7,10,1,2,5,9,8,3,6]
[4,2,7,8,10,6,3,9,5,1]=>[1,5,9,3,6,10,8,7,2,4]
[6,3,8,9,5,2,10,7,4,1]=>[1,4,7,10,2,5,9,8,3,6]
[6,3,8,9,5,2,7,4,1,10]=>[10,1,4,7,2,5,9,8,3,6]
[5,3,7,4,1,9,10,8,6,2]=>[2,6,8,10,9,1,4,7,3,5]
[5,3,7,4,1,9,8,6,2,10]=>[10,2,6,8,9,1,4,7,3,5]
[1,7,10,2,8,3,9,4,5,6]=>[6,5,4,9,3,8,2,10,7,1]
[1,7,2,8,3,9,6,5,4,10]=>[10,4,5,6,9,3,8,2,7,1]
[1,7,2,8,3,9,6,10,4,5]=>[5,4,10,6,9,3,8,2,7,1]
[1,7,3,9,10,2,8,6,4,5]=>[5,4,6,8,2,10,9,3,7,1]
[1,7,3,4,5,9,10,2,8,6]=>[6,8,2,10,9,5,4,3,7,1]
[1,7,10,3,9,2,8,4,5,6]=>[6,5,4,8,2,9,3,10,7,1]
[1,7,2,8,6,5,4,10,3,9]=>[9,3,10,4,5,6,8,2,7,1]
[1,7,2,8,6,10,3,9,4,5]=>[5,4,9,3,10,6,8,2,7,1]
[1,7,6,2,8,10,3,9,4,5]=>[5,4,9,3,10,8,2,6,7,1]
[1,7,2,8,6,10,3,4,5,9]=>[9,5,4,3,10,6,8,2,7,1]
[1,7,6,2,8,10,3,4,5,9]=>[9,5,4,3,10,8,2,6,7,1]
[1,7,2,8,3,9,4,10,6,5]=>[5,6,10,4,9,3,8,2,7,1]
[1,7,10,6,2,8,3,9,4,5]=>[5,4,9,3,8,2,6,10,7,1]
[1,7,2,8,3,9,6,4,5,10]=>[10,5,4,6,9,3,8,2,7,1]
[1,7,10,6,2,8,3,4,5,9]=>[9,5,4,3,8,2,6,10,7,1]
[1,7,5,4,10,3,9,2,8,6]=>[6,8,2,9,3,10,4,5,7,1]
[1,7,5,10,3,9,2,8,6,4]=>[4,6,8,2,9,3,10,5,7,1]
[1,7,6,5,2,8,10,3,9,4]=>[4,9,3,10,8,2,5,6,7,1]
[1,7,5,10,3,4,9,2,8,6]=>[6,8,2,9,4,3,10,5,7,1]
[1,7,6,5,2,8,10,3,4,9]=>[9,4,3,10,8,2,5,6,7,1]
[1,7,5,4,10,6,2,8,3,9]=>[9,3,8,2,6,10,4,5,7,1]
[1,7,5,10,6,2,8,3,9,4]=>[4,9,3,8,2,6,10,5,7,1]
[1,7,10,6,5,2,8,3,9,4]=>[4,9,3,8,2,5,6,10,7,1]
[1,7,5,10,6,2,8,3,4,9]=>[9,4,3,8,2,6,10,5,7,1]
[1,7,10,6,5,2,8,3,4,9]=>[9,4,3,8,2,5,6,10,7,1]
[1,7,2,8,3,4,9,6,5,10]=>[10,5,6,9,4,3,8,2,7,1]
[1,7,10,6,9,3,4,2,8,5]=>[5,8,2,4,3,9,6,10,7,1]
[1,7,2,8,3,4,5,6,9,10]=>[10,9,6,5,4,3,8,2,7,1]
[1,7,5,10,3,8,6,2,4,9]=>[9,4,2,6,8,3,10,5,7,1]
[1,7,6,5,2,4,9,3,8,10]=>[10,8,3,9,4,2,5,6,7,1]
[1,7,5,10,6,2,4,9,3,8]=>[8,3,9,4,2,6,10,5,7,1]
[1,7,10,6,5,2,4,9,3,8]=>[8,3,9,4,2,5,6,10,7,1]
[1,7,2,4,9,6,5,3,8,10]=>[10,8,3,5,6,9,4,2,7,1]
[1,7,10,6,9,3,8,2,4,5]=>[5,4,2,8,3,9,6,10,7,1]
[9,1,2,3,4,5,10,7,6,8]=>[8,6,7,10,5,4,3,2,1,9]
[9,1,2,3,4,10,6,7,5,8]=>[8,5,7,6,10,4,3,2,1,9]
[9,1,2,10,4,5,6,7,3,8]=>[8,3,7,6,5,4,10,2,1,9]
[3,2,5,4,1,9,7,6,10,8]=>[8,10,6,7,9,1,4,5,2,3]
[3,2,5,4,1,6,7,9,10,8]=>[8,10,9,7,6,1,4,5,2,3]
[3,2,7,6,4,5,1,8,10,9]=>[9,10,8,1,5,4,6,7,2,3]
[3,2,1,7,5,9,6,4,10,8]=>[8,10,4,6,9,5,7,1,2,3]
[3,2,1,7,5,4,6,9,10,8]=>[8,10,9,6,4,5,7,1,2,3]
[3,2,1,9,8,5,6,4,10,7]=>[7,10,4,6,5,8,9,1,2,3]
[3,2,1,4,9,6,5,8,10,7]=>[7,10,8,5,6,9,4,1,2,3]
[3,2,1,4,5,6,8,9,10,7]=>[7,10,9,8,6,5,4,1,2,3]
[5,4,2,3,7,6,1,8,10,9]=>[9,10,8,1,6,7,3,2,4,5]
[5,4,2,3,1,9,7,6,10,8]=>[8,10,6,7,9,1,3,2,4,5]
[5,4,2,3,1,6,7,9,10,8]=>[8,10,9,7,6,1,3,2,4,5]
[7,4,2,6,3,5,1,8,10,9]=>[9,10,8,1,5,3,6,2,4,7]
[1,5,3,7,4,9,6,2,10,8]=>[8,10,2,6,9,4,7,3,5,1]
[1,5,3,7,4,2,6,9,10,8]=>[8,10,9,6,2,4,7,3,5,1]
[1,5,3,9,8,4,6,2,10,7]=>[7,10,2,6,4,8,9,3,5,1]
[1,5,3,2,9,6,4,8,10,7]=>[7,10,8,4,6,9,2,3,5,1]
[1,5,3,2,4,6,8,9,10,7]=>[7,10,9,8,6,4,2,3,5,1]
[7,6,5,2,3,4,1,8,10,9]=>[9,10,8,1,4,3,2,5,6,7]
[1,7,6,3,4,9,5,2,10,8]=>[8,10,2,5,9,4,3,6,7,1]
[1,7,6,3,4,2,5,9,10,8]=>[8,10,9,5,2,4,3,6,7,1]
[1,9,6,3,8,4,5,2,10,7]=>[7,10,2,5,4,8,3,6,9,1]
[1,2,7,4,9,5,3,8,10,6]=>[6,10,8,3,5,9,4,7,2,1]
[1,2,7,4,3,5,8,9,10,6]=>[6,10,9,8,5,3,4,7,2,1]
[1,9,8,7,3,4,5,2,10,6]=>[6,10,2,5,4,3,7,8,9,1]
[1,2,9,8,4,5,3,7,10,6]=>[6,10,7,3,5,4,8,9,2,1]
[1,2,3,9,5,4,7,8,10,6]=>[6,10,8,7,4,5,9,3,2,1]
[9,1,10,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,10,1,9]
[3,1,10,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,10,1,3]
[10,9,8,7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7,8,9,10]
[5,6,10,2,8,4,9,1,7,3]=>[3,7,1,9,4,8,2,10,6,5]
[8,4,6,7,3,5,9,1,10,2]=>[2,10,1,9,5,3,7,6,4,8]
[9,1,5,10,2,8,4,6,7,3]=>[3,7,6,4,8,2,10,5,1,9]
[7,3,9,1,5,10,2,6,8,4]=>[4,8,6,2,10,5,1,9,3,7]
[8,5,3,7,6,4,9,1,10,2]=>[2,10,1,9,4,6,7,3,5,8]
[9,1,7,6,4,10,2,8,5,3]=>[3,5,8,2,10,4,6,7,1,9]
[3,6,4,7,8,5,9,1,10,2]=>[2,10,1,9,5,8,7,4,6,3]
[6,4,7,10,2,8,5,9,1,3]=>[3,1,9,5,8,2,10,7,4,6]
[9,1,3,7,8,5,10,2,6,4]=>[4,6,2,10,5,8,7,3,1,9]
[3,4,5,7,8,6,9,1,10,2]=>[2,10,1,9,6,8,7,5,4,3]
[4,5,7,10,2,8,6,9,1,3]=>[3,1,9,6,8,2,10,7,5,4]
[5,9,1,3,7,8,6,10,2,4]=>[4,2,10,6,8,7,3,1,9,5]
[8,7,10,2,4,6,9,1,3,5]=>[5,3,1,9,6,4,2,10,7,8]
[5,6,10,3,7,1,9,4,8,2]=>[2,8,4,9,1,7,3,10,6,5]
[5,6,7,1,8,2,9,4,10,3]=>[3,10,4,9,2,8,1,7,6,5]
[9,4,6,7,1,10,3,5,8,2]=>[2,8,5,3,10,1,7,6,4,9]
[8,2,9,4,6,7,1,5,10,3]=>[3,10,5,1,7,6,4,9,2,8]
[8,2,6,10,3,7,1,5,9,4]=>[4,9,5,1,7,3,10,6,2,8]
[9,5,1,10,3,7,6,4,8,2]=>[2,8,4,6,7,3,10,1,5,9]
[8,2,9,5,1,7,6,4,10,3]=>[3,10,4,6,7,1,5,9,2,8]
[6,4,7,10,3,1,9,5,8,2]=>[2,8,5,9,1,3,10,7,4,6]
[1,6,4,7,8,2,9,5,10,3]=>[3,10,5,9,2,8,7,4,6,1]
[1,9,5,10,3,7,8,2,6,4]=>[4,6,2,8,7,3,10,5,9,1]
[4,5,7,10,3,1,9,6,8,2]=>[2,8,6,9,1,3,10,7,5,4]
[1,4,5,7,8,2,9,6,10,3]=>[3,10,6,9,2,8,7,5,4,1]
[1,5,9,6,10,3,7,8,2,4]=>[4,2,8,7,3,10,6,9,5,1]
[1,9,7,8,2,4,6,10,3,5]=>[5,3,10,6,4,2,8,7,9,1]
[7,3,9,5,1,10,4,8,6,2]=>[2,6,8,4,10,1,5,9,3,7]
[8,6,2,10,4,9,5,1,7,3]=>[3,7,1,5,9,4,10,2,6,8]
[9,5,8,7,3,1,10,4,6,2]=>[2,6,4,10,1,3,7,8,5,9]
[1,9,5,10,4,6,2,8,7,3]=>[3,7,8,2,6,4,10,5,9,1]
[1,6,2,7,3,8,9,5,10,4]=>[4,10,5,9,8,3,7,2,6,1]
[5,9,6,8,7,3,1,10,4,2]=>[2,4,10,1,3,7,8,6,9,5]
[1,5,9,6,10,4,2,8,7,3]=>[3,7,8,2,4,10,6,9,5,1]
[1,2,5,7,3,8,9,6,10,4]=>[4,10,6,9,8,3,7,5,2,1]
[1,2,8,10,4,6,9,7,3,5]=>[5,3,7,9,6,4,10,8,2,1]
[8,7,10,5,3,1,9,6,4,2]=>[2,4,6,9,1,3,5,10,7,8]
[1,9,6,4,2,8,7,10,5,3]=>[3,5,10,7,8,2,4,6,9,1]
[1,2,8,10,5,3,7,9,6,4]=>[4,6,9,7,3,5,10,8,2,1]
[1,2,3,6,4,8,9,7,10,5]=>[5,10,7,9,8,4,6,3,2,1]
[1,2,5,6,7,8,9,10,3,4]=>[4,3,10,9,8,7,6,5,2,1]
[5,1,2,6,7,8,9,10,3,4]=>[4,3,10,9,8,7,6,2,1,5]
[5,6,1,2,7,8,9,10,3,4]=>[4,3,10,9,8,7,2,1,6,5]
[5,6,7,1,2,8,9,10,3,4]=>[4,3,10,9,8,2,1,7,6,5]
[5,6,7,8,1,2,9,10,3,4]=>[4,3,10,9,2,1,8,7,6,5]
[5,6,7,8,9,1,2,10,3,4]=>[4,3,10,2,1,9,8,7,6,5]
[6,2,3,7,10,1,4,5,8,9]=>[9,8,5,4,1,10,7,3,2,6]
[7,2,3,8,10,1,4,5,6,9]=>[9,6,5,4,1,10,8,3,2,7]
[6,3,4,7,10,1,2,5,8,9]=>[9,8,5,2,1,10,7,4,3,6]
[7,3,4,8,10,1,2,5,6,9]=>[9,6,5,2,1,10,8,4,3,7]
[7,4,5,8,10,1,2,3,6,9]=>[9,6,3,2,1,10,8,5,4,7]
[6,1,3,7,10,2,4,5,8,9]=>[9,8,5,4,2,10,7,3,1,6]
[7,1,3,8,10,2,4,5,6,9]=>[9,6,5,4,2,10,8,3,1,7]
[6,1,4,7,10,2,3,5,8,9]=>[9,8,5,3,2,10,7,4,1,6]
[7,1,4,8,10,2,3,5,6,9]=>[9,6,5,3,2,10,8,4,1,7]
[7,1,5,8,10,2,3,4,6,9]=>[9,6,4,3,2,10,8,5,1,7]
[6,2,4,7,10,1,3,5,8,9]=>[9,8,5,3,1,10,7,4,2,6]
[7,2,4,8,10,1,3,5,6,9]=>[9,6,5,3,1,10,8,4,2,7]
[7,2,5,8,10,1,3,4,6,9]=>[9,6,4,3,1,10,8,5,2,7]
[7,3,5,8,10,1,2,4,6,9]=>[9,6,4,2,1,10,8,5,3,7]
[2,3,4,7,10,1,5,6,8,9]=>[9,8,6,5,1,10,7,4,3,2]
[2,3,4,8,10,1,5,6,7,9]=>[9,7,6,5,1,10,8,4,3,2]
[3,4,5,7,10,1,2,6,8,9]=>[9,8,6,2,1,10,7,5,4,3]
[3,4,5,8,10,1,2,6,7,9]=>[9,7,6,2,1,10,8,5,4,3]
[3,1,4,7,10,2,5,6,8,9]=>[9,8,6,5,2,10,7,4,1,3]
[3,1,4,8,10,2,5,6,7,9]=>[9,7,6,5,2,10,8,4,1,3]
[4,1,5,7,10,2,3,6,8,9]=>[9,8,6,3,2,10,7,5,1,4]
[4,1,5,8,10,2,3,6,7,9]=>[9,7,6,3,2,10,8,5,1,4]
[5,1,6,8,10,2,3,4,7,9]=>[9,7,4,3,2,10,8,6,1,5]
[4,2,5,7,10,1,3,6,8,9]=>[9,8,6,3,1,10,7,5,2,4]
[4,2,5,8,10,1,3,6,7,9]=>[9,7,6,3,1,10,8,5,2,4]
[5,2,6,8,10,1,3,4,7,9]=>[9,7,4,3,1,10,8,6,2,5]
[5,3,6,8,10,1,2,4,7,9]=>[9,7,4,2,1,10,8,6,3,5]
[1,2,4,7,10,3,5,6,8,9]=>[9,8,6,5,3,10,7,4,2,1]
[1,2,4,8,10,3,5,6,7,9]=>[9,7,6,5,3,10,8,4,2,1]
[1,2,5,7,10,3,4,6,8,9]=>[9,8,6,4,3,10,7,5,2,1]
[1,2,5,8,10,3,4,6,7,9]=>[9,7,6,4,3,10,8,5,2,1]
[1,2,6,8,10,3,4,5,7,9]=>[9,7,5,4,3,10,8,6,2,1]
[2,3,5,7,10,1,4,6,8,9]=>[9,8,6,4,1,10,7,5,3,2]
[2,3,5,8,10,1,4,6,7,9]=>[9,7,6,4,1,10,8,5,3,2]
[2,3,6,8,10,1,4,5,7,9]=>[9,7,5,4,1,10,8,6,3,2]
[1,3,5,8,10,2,4,6,7,9]=>[9,7,6,4,2,10,8,5,3,1]
[1,3,6,8,10,2,4,5,7,9]=>[9,7,5,4,2,10,8,6,3,1]
[4,3,1,10,9,8,7,6,5,2]=>[2,5,6,7,8,9,10,1,3,4]
[6,3,1,10,9,8,7,5,4,2]=>[2,4,5,7,8,9,10,1,3,6]
[8,3,1,10,9,7,6,5,4,2]=>[2,4,5,6,7,9,10,1,3,8]
[10,3,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,3,10]
[6,5,4,1,10,9,8,7,3,2]=>[2,3,7,8,9,10,1,4,5,6]
[8,5,4,1,10,9,7,6,3,2]=>[2,3,6,7,9,10,1,4,5,8]
[10,5,4,1,9,8,7,6,3,2]=>[2,3,6,7,8,9,1,4,5,10]
[8,7,4,1,10,9,6,5,3,2]=>[2,3,5,6,9,10,1,4,7,8]
[10,7,4,1,9,8,6,5,3,2]=>[2,3,5,6,8,9,1,4,7,10]
[10,9,4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4,9,10]
[8,7,6,5,1,10,9,4,3,2]=>[2,3,4,9,10,1,5,6,7,8]
[10,7,6,5,1,9,8,4,3,2]=>[2,3,4,8,9,1,5,6,7,10]
[10,9,6,5,1,8,7,4,3,2]=>[2,3,4,7,8,1,5,6,9,10]
[10,9,8,5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5,8,9,10]
[8,1,2,3,4,5,9,10,6,7]=>[7,6,10,9,5,4,3,2,1,8]
[1,7,2,6,3,5,4,8,10,9]=>[9,10,8,4,5,3,6,2,7,1]
[1,6,2,5,3,4,7,9,8,10]=>[10,8,9,7,4,3,5,2,6,1]
[1,5,2,4,3,6,10,7,9,8]=>[8,9,7,10,6,3,4,2,5,1]
[1,5,2,4,3,6,9,7,8,10]=>[10,8,7,9,6,3,4,2,5,1]
[1,5,2,4,3,6,8,7,9,10]=>[10,9,7,8,6,3,4,2,5,1]
[1,4,2,3,5,7,6,8,10,9]=>[9,10,8,6,7,5,3,2,4,1]
[1,4,2,3,5,7,6,8,9,10]=>[10,9,8,6,7,5,3,2,4,1]
[1,3,2,4,6,5,7,9,8,10]=>[10,8,9,7,5,6,4,2,3,1]
[1,3,2,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,2,3,1]
[1,10,2,9,5,6,7,8,4,3]=>[3,4,8,7,6,5,9,2,10,1]
[1,10,2,9,3,8,5,6,7,4]=>[4,7,6,5,8,3,9,2,10,1]
[6,7,5,9,4,10,3,8,1,2]=>[2,1,8,3,10,4,9,5,7,6]
[6,8,5,9,4,10,3,7,1,2]=>[2,1,7,3,10,4,9,5,8,6]
[7,5,8,4,9,3,10,6,1,2]=>[2,1,6,10,3,9,4,8,5,7]
[7,6,8,4,9,3,10,5,1,2]=>[2,1,5,10,3,9,4,8,6,7]
[7,6,8,5,9,3,10,4,1,2]=>[2,1,4,10,3,9,5,8,6,7]
[2,3,4,5,7,1,6,10,8,9]=>[9,8,10,6,1,7,5,4,3,2]
[2,3,5,1,4,6,7,10,8,9]=>[9,8,10,7,6,4,1,5,3,2]
[2,4,1,3,5,6,7,10,8,9]=>[9,8,10,7,6,5,3,1,4,2]
[9,10,7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7,10,9]
[9,10,7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7,10,9]
[4,5,6,7,8,1,2,9,10,3]=>[3,10,9,2,1,8,7,6,5,4]
[1,9,3,10,2,4,8,5,7,6]=>[6,7,5,8,4,2,10,3,9,1]
[1,8,4,9,3,10,2,5,7,6]=>[6,7,5,2,10,3,9,4,8,1]
[1,7,5,8,4,9,3,10,2,6]=>[6,2,10,3,9,4,8,5,7,1]
[1,5,8,4,9,3,10,2,6,7]=>[7,6,2,10,3,9,4,8,5,1]
[1,4,9,3,10,2,5,8,6,7]=>[7,6,8,5,2,10,3,9,4,1]
[1,2,9,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,9,2,1]
[1,2,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,2,1]
[1,2,9,8,7,6,5,4,10,3]=>[3,10,4,5,6,7,8,9,2,1]
[1,8,7,6,5,4,3,9,10,2]=>[2,10,9,3,4,5,6,7,8,1]
[10,8,9,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,9,8,10]
[10,8,9,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,9,8,10]
[10,8,9,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,9,8,10]
[10,8,6,4,9,7,2,5,3,1]=>[1,3,5,2,7,9,4,6,8,10]
[2,3,4,5,6,9,8,7,10,1]=>[1,10,7,8,9,6,5,4,3,2]
[2,3,4,8,6,7,5,9,10,1]=>[1,10,9,5,7,6,8,4,3,2]
[2,3,4,5,8,10,7,9,6,1]=>[1,6,9,7,10,8,5,4,3,2]
[2,7,4,5,6,3,8,9,10,1]=>[1,10,9,8,3,6,5,4,7,2]
[2,3,7,5,8,6,10,9,4,1]=>[1,4,9,10,6,8,5,7,3,2]
[2,3,4,9,6,5,8,7,10,1]=>[1,10,7,8,5,6,9,4,3,2]
[2,3,4,7,10,6,9,8,5,1]=>[1,5,8,9,6,10,7,4,3,2]
[6,3,4,7,5,8,10,9,2,1]=>[1,2,9,10,8,5,7,4,3,6]
[2,6,9,5,4,7,8,3,10,1]=>[1,10,3,8,7,4,5,9,6,2]
[2,6,4,7,5,10,9,8,3,1]=>[1,3,8,9,10,5,7,4,6,2]
[2,3,8,10,5,7,4,9,6,1]=>[1,6,9,4,7,5,10,8,3,2]
[2,6,4,3,9,7,8,1,10,5]=>[5,10,1,8,7,9,3,4,6,2]
[2,3,6,4,7,10,9,8,1,5]=>[5,1,8,9,10,7,4,6,3,2]
[8,3,4,2,6,7,5,9,10,1]=>[1,10,9,5,7,6,2,4,3,8]
[5,3,6,4,10,9,7,8,2,1]=>[1,2,8,7,9,10,4,6,3,5]
[2,9,4,3,6,5,8,7,10,1]=>[1,10,7,8,5,6,3,4,9,2]
[2,5,10,4,9,6,7,8,3,1]=>[1,3,8,7,6,9,4,10,5,2]
[2,5,3,8,6,1,10,9,4,7]=>[7,4,9,10,1,6,8,3,5,2]
[9,3,2,7,6,5,8,1,10,4]=>[4,10,1,8,5,6,7,2,3,9]
[7,5,3,10,9,6,8,2,1,4]=>[4,1,2,8,6,9,10,3,5,7]
[2,5,3,10,9,6,7,8,1,4]=>[4,1,8,7,6,9,10,3,5,2]
[6,10,3,9,5,8,7,2,4,1]=>[1,4,2,7,8,5,9,3,10,6]
[4,10,3,9,5,6,7,8,2,1]=>[1,2,8,7,6,5,9,3,10,4]
[10,2,9,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,9,2,10]
[10,2,9,4,8,6,7,1,3,5]=>[5,3,1,7,6,8,4,9,2,10]
[10,2,9,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,9,2,10]
[6,10,2,9,4,5,7,8,3,1]=>[1,3,8,7,5,4,9,2,10,6]
[6,10,2,8,4,5,7,3,9,1]=>[1,9,3,7,5,4,8,2,10,6]
[10,9,2,8,4,5,7,3,6,1]=>[1,6,3,7,5,4,8,2,9,10]
[6,5,2,10,4,1,7,8,9,3]=>[3,9,8,7,1,4,10,2,5,6]
[6,10,2,9,4,5,7,8,1,3]=>[3,1,8,7,5,4,9,2,10,6]
[10,5,2,9,4,1,7,8,6,3]=>[3,6,8,7,1,4,9,2,5,10]
[6,10,2,8,4,5,7,1,9,3]=>[3,9,1,7,5,4,8,2,10,6]
[10,9,2,8,4,5,7,1,6,3]=>[3,6,1,7,5,4,8,2,9,10]
[2,10,1,9,4,5,7,8,3,6]=>[6,3,8,7,5,4,9,1,10,2]
[10,5,2,9,4,1,7,8,3,6]=>[6,3,8,7,1,4,9,2,5,10]
[2,10,1,8,4,5,7,3,9,6]=>[6,9,3,7,5,4,8,1,10,2]
[10,9,2,8,4,5,7,1,3,6]=>[6,3,1,7,5,4,8,2,9,10]
[2,9,1,8,4,5,7,3,6,10]=>[10,6,3,7,5,4,8,1,9,2]
[6,4,2,10,1,5,7,8,9,3]=>[3,9,8,7,5,1,10,2,4,6]
[6,10,2,9,4,1,7,8,5,3]=>[3,5,8,7,1,4,9,2,10,6]
[10,4,2,9,1,5,7,8,6,3]=>[3,6,8,7,5,1,9,2,4,10]
[6,10,2,8,4,1,7,5,9,3]=>[3,9,5,7,1,4,8,2,10,6]
[10,9,2,8,4,1,7,5,6,3]=>[3,6,5,7,1,4,8,2,9,10]
[5,4,2,10,1,3,7,8,9,6]=>[6,9,8,7,3,1,10,2,4,5]
[5,10,2,9,4,1,7,8,3,6]=>[6,3,8,7,1,4,9,2,10,5]
[10,4,2,9,1,5,7,8,3,6]=>[6,3,8,7,5,1,9,2,4,10]
[5,4,2,9,1,3,7,8,6,10]=>[10,6,8,7,3,1,9,2,4,5]
[5,10,2,8,4,1,7,3,9,6]=>[6,9,3,7,1,4,8,2,10,5]
[10,9,2,8,4,1,7,5,3,6]=>[6,3,5,7,1,4,8,2,9,10]
[5,9,2,8,4,1,7,3,6,10]=>[10,6,3,7,1,4,8,2,9,5]
[10,4,2,8,1,5,7,3,9,6]=>[6,9,3,7,5,1,8,2,4,10]
[9,4,2,8,1,5,7,3,6,10]=>[10,6,3,7,5,1,8,2,4,9]
[6,10,2,7,4,1,5,8,9,3]=>[3,9,8,5,1,4,7,2,10,6]
[10,9,2,7,4,1,5,8,6,3]=>[3,6,8,5,1,4,7,2,9,10]
[5,10,2,7,4,1,3,8,9,6]=>[6,9,8,3,1,4,7,2,10,5]
[10,9,2,7,4,1,5,8,3,6]=>[6,3,8,5,1,4,7,2,9,10]
[5,9,2,7,4,1,3,8,6,10]=>[10,6,8,3,1,4,7,2,9,5]
[10,8,2,7,4,1,5,3,9,6]=>[6,9,3,5,1,4,7,2,8,10]
[5,7,8,9,10,1,3,4,6,2]=>[2,6,4,3,1,10,9,8,7,5]
[5,6,8,9,10,1,2,4,7,3]=>[3,7,4,2,1,10,9,8,6,5]
[5,6,7,9,10,1,2,3,8,4]=>[4,8,3,2,1,10,9,7,6,5]
[6,5,7,2,8,1,9,4,10,3]=>[3,10,4,9,1,8,2,7,5,6]
[7,3,8,2,6,9,1,5,10,4]=>[4,10,5,1,9,6,2,8,3,7]
[6,3,7,1,8,5,9,2,10,4]=>[4,10,2,9,5,8,1,7,3,6]
[4,3,8,7,9,2,6,10,1,5]=>[5,1,10,6,2,9,7,8,3,4]
[4,7,8,3,6,9,1,10,2,5]=>[5,2,10,1,9,6,3,8,7,4]
[7,2,8,1,9,4,6,10,3,5]=>[5,3,10,6,4,9,1,8,2,7]
[7,4,6,8,1,9,2,10,3,5]=>[5,3,10,2,9,1,8,6,4,7]
[4,3,5,1,8,7,9,2,10,6]=>[6,10,2,9,7,8,1,5,3,4]
[5,2,8,1,4,9,3,7,10,6]=>[6,10,7,3,9,4,1,8,2,5]
[4,5,1,7,8,2,9,3,10,6]=>[6,10,3,9,2,8,7,1,5,4]
[8,3,5,7,9,1,10,2,4,6]=>[6,4,2,10,1,9,7,5,3,8]
[9,5,2,4,8,10,6,1,3,7]=>[7,3,1,6,10,8,4,2,5,9]
[4,1,8,5,2,9,6,3,10,7]=>[7,10,3,6,9,2,5,8,1,4]
[3,2,6,5,9,8,10,1,4,7]=>[7,4,1,10,8,9,5,6,2,3]
[3,8,9,5,6,1,10,2,4,7]=>[7,4,2,10,1,6,5,9,8,3]
[8,1,6,2,9,3,4,10,5,7]=>[7,5,10,4,3,9,2,6,1,8]
[3,1,6,4,2,9,7,5,10,8]=>[8,10,5,7,9,2,4,6,1,3]
[2,9,10,4,6,7,1,3,5,8]=>[8,5,3,1,7,6,4,10,9,2]
[6,4,1,9,2,3,10,7,5,8]=>[8,5,7,10,3,2,9,1,4,6]
[9,1,10,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,10,1,9]
[9,1,5,2,3,7,4,10,6,8]=>[8,6,10,4,7,3,2,5,1,9]
[9,1,7,2,3,10,4,5,6,8]=>[8,6,5,4,10,3,2,7,1,9]
[10,1,2,8,3,4,6,5,7,9]=>[9,7,5,6,4,3,8,2,1,10]
[10,1,2,8,3,4,5,6,7,9]=>[9,7,6,5,4,3,8,2,1,10]
[2,9,8,7,6,5,4,1,3,10]=>[10,3,1,4,5,6,7,8,9,2]
[10,2,8,7,6,5,4,1,3,9]=>[9,3,1,4,5,6,7,8,2,10]
[9,1,3,8,7,6,5,4,2,10]=>[10,2,4,5,6,7,8,3,1,9]
[3,1,9,8,7,6,5,2,10,4]=>[4,10,2,5,6,7,8,9,1,3]
[10,2,9,3,8,4,7,5,6,1]=>[1,6,5,7,4,8,3,9,2,10]
[6,1,2,3,4,5,7,8,10,9]=>[9,10,8,7,5,4,3,2,1,6]
[7,2,3,4,5,6,8,9,10,1]=>[1,10,9,8,6,5,4,3,2,7]
[1,10,4,7,2,9,5,3,8,6]=>[6,8,3,5,9,2,7,4,10,1]
[1,10,5,2,9,6,3,4,7,8]=>[8,7,4,3,6,9,2,5,10,1]
[1,10,5,3,8,6,2,9,4,7]=>[7,4,9,2,6,8,3,5,10,1]
[1,10,5,2,9,6,3,8,4,7]=>[7,4,8,3,6,9,2,5,10,1]
[1,10,5,4,7,6,2,9,3,8]=>[8,3,9,2,6,7,4,5,10,1]
[1,10,6,9,2,5,3,4,7,8]=>[8,7,4,3,5,2,9,6,10,1]
[1,10,6,8,3,5,2,9,7,4]=>[4,7,9,2,5,3,8,6,10,1]
[1,10,6,8,2,9,3,5,4,7]=>[7,4,5,3,9,2,8,6,10,1]
[1,10,6,5,2,9,4,3,8,7]=>[7,8,3,4,9,2,5,6,10,1]
[1,6,9,8,3,2,5,10,7,4]=>[4,7,10,5,2,3,8,9,6,1]
[1,6,9,3,4,2,5,10,7,8]=>[8,7,10,5,2,4,3,9,6,1]
[1,10,7,4,2,3,5,6,8,9]=>[9,8,6,5,3,2,4,7,10,1]
[1,10,7,2,6,5,9,4,3,8]=>[8,3,4,9,5,6,2,7,10,1]
[1,10,7,2,6,8,3,5,9,4]=>[4,9,5,3,8,6,2,7,10,1]
[1,10,7,6,3,2,9,8,5,4]=>[4,5,8,9,2,3,6,7,10,1]
[1,10,7,3,6,2,9,5,8,4]=>[4,8,5,9,2,6,3,7,10,1]
[1,7,6,3,2,4,10,8,5,9]=>[9,5,8,10,4,2,3,6,7,1]
[1,7,9,5,6,2,4,10,8,3]=>[3,8,10,4,2,6,5,9,7,1]
[1,7,3,2,6,4,10,8,5,9]=>[9,5,8,10,4,6,2,3,7,1]
[1,10,8,4,7,3,2,5,6,9]=>[9,6,5,2,3,7,4,8,10,1]
[1,10,8,5,2,7,4,9,6,3]=>[3,6,9,4,7,2,5,8,10,1]
[1,6,3,8,5,10,9,7,4,2]=>[2,4,7,9,10,5,8,3,6,1]
[1,8,6,4,2,3,10,9,7,5]=>[5,7,9,10,3,2,4,6,8,1]
[10,8,6,5,4,3,2,1,9,7]=>[7,9,1,2,3,4,5,6,8,10]
[10,8,6,4,3,2,1,9,7,5]=>[5,7,9,1,2,3,4,6,8,10]
[9,6,4,2,10,7,5,3,1,8]=>[8,1,3,5,7,10,2,4,6,9]
[2,4,10,1,3,9,8,7,6,5]=>[5,6,7,8,9,3,1,10,4,2]
[3,6,10,2,5,9,1,4,8,7]=>[7,8,4,1,9,5,2,10,6,3]
[2,4,6,10,1,3,5,9,8,7]=>[7,8,9,5,3,1,10,6,4,2]
[2,3,4,6,7,5,8,9,10,1]=>[1,10,9,8,5,7,6,4,3,2]
[8,9,10,5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5,10,9,8]
[8,9,10,5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5,10,9,8]
[8,9,5,6,10,1,4,7,2,3]=>[3,2,7,4,1,10,6,5,9,8]
[8,9,10,1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1,10,9,8]
[8,9,10,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,10,9,8]
[8,9,10,1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1,10,9,8]
[8,9,10,5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5,10,9,8]
[8,9,10,5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5,10,9,8]
[8,9,5,6,10,1,4,2,7,3]=>[3,7,2,4,1,10,6,5,9,8]
[8,9,5,6,10,3,7,1,4,2]=>[2,4,1,7,3,10,6,5,9,8]
[8,9,10,1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1,10,9,8]
[8,9,10,5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5,10,9,8]
[8,9,10,5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5,10,9,8]
[8,9,5,6,10,1,4,3,7,2]=>[2,7,3,4,1,10,6,5,9,8]
[8,9,5,6,10,3,1,4,7,2]=>[2,7,4,1,3,10,6,5,9,8]
[8,9,10,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,10,9,8]
[8,9,10,5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5,10,9,8]
[8,9,10,5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5,10,9,8]
[8,9,5,10,1,4,7,2,6,3]=>[3,6,2,7,4,1,10,5,9,8]
[8,9,5,10,3,6,7,1,4,2]=>[2,4,1,7,6,3,10,5,9,8]
[8,9,10,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,10,9,8]
[8,9,10,5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5,10,9,8]
[8,9,10,5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5,10,9,8]
[8,9,5,10,1,4,7,3,6,2]=>[2,6,3,7,4,1,10,5,9,8]
[8,9,5,10,3,6,1,4,7,2]=>[2,7,4,1,6,3,10,5,9,8]
[8,9,5,3,6,10,1,4,7,2]=>[2,7,4,1,10,6,3,5,9,8]
[8,5,9,10,1,4,7,2,6,3]=>[3,6,2,7,4,1,10,9,5,8]
[8,5,9,10,1,4,7,3,6,2]=>[2,6,3,7,4,1,10,9,5,8]
[8,5,9,10,3,6,1,4,7,2]=>[2,7,4,1,6,3,10,9,5,8]
[1,8,2,3,4,5,6,9,10,7]=>[7,10,9,6,5,4,3,2,8,1]
[1,7,2,3,4,5,8,9,10,6]=>[6,10,9,8,5,4,3,2,7,1]
[1,6,2,3,4,7,8,9,10,5]=>[5,10,9,8,7,4,3,2,6,1]
[1,5,2,3,6,7,8,9,10,4]=>[4,10,9,8,7,6,3,2,5,1]
[6,5,7,4,8,3,9,2,1,10]=>[10,1,2,9,3,8,4,7,5,6]
[5,4,6,3,7,2,1,9,8,10]=>[10,8,9,1,2,7,3,6,4,5]
[4,3,5,2,1,7,6,9,8,10]=>[10,8,9,6,7,1,2,5,3,4]
[10,9,8,1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1,8,9,10]
[3,2,4,1,6,7,5,9,8,10]=>[10,8,9,5,7,6,1,4,2,3]
[3,2,6,5,7,4,1,9,8,10]=>[10,8,9,1,4,7,5,6,2,3]
[3,2,4,1,6,8,9,7,5,10]=>[10,5,7,9,8,6,1,4,2,3]
[3,2,8,9,7,4,1,6,5,10]=>[10,5,6,1,4,7,9,8,2,3]
[6,4,1,8,9,7,3,2,5,10]=>[10,5,2,3,7,9,8,1,4,6]
[8,7,3,2,5,9,6,4,1,10]=>[10,1,4,6,9,5,2,3,7,8]
[3,2,4,1,6,7,5,10,9,8]=>[8,9,10,5,7,6,1,4,2,3]
[3,2,6,5,7,4,1,10,9,8]=>[8,9,10,1,4,7,5,6,2,3]
[3,2,4,1,6,10,9,7,5,8]=>[8,5,7,9,10,6,1,4,2,3]
[3,2,10,9,7,4,1,6,5,8]=>[8,5,6,1,4,7,9,10,2,3]
[3,2,10,9,6,5,7,4,1,8]=>[8,1,4,7,5,6,9,10,2,3]
[6,4,1,10,9,7,3,2,5,8]=>[8,5,2,3,7,9,10,1,4,6]
[7,3,2,5,10,9,6,4,1,8]=>[8,1,4,6,9,10,5,2,3,7]
[3,2,4,1,6,10,8,9,7,5]=>[5,7,9,8,10,6,1,4,2,3]
[3,2,10,8,9,7,4,1,6,5]=>[5,6,1,4,7,9,8,10,2,3]
[3,2,7,4,1,10,8,9,6,5]=>[5,6,9,8,10,1,4,7,2,3]
[3,2,8,9,6,5,10,7,4,1]=>[1,4,7,10,5,6,9,8,2,3]
[6,4,1,10,8,9,7,3,2,5]=>[5,2,3,7,9,8,10,1,4,6]
[10,8,9,6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6,9,8,10]
[8,10,7,3,2,5,9,6,4,1]=>[1,4,6,9,5,2,3,7,10,8]
[3,2,4,1,10,9,6,7,5,8]=>[8,5,7,6,9,10,1,4,2,3]
[3,2,10,9,6,7,4,1,5,8]=>[8,5,1,4,7,6,9,10,2,3]
[3,2,6,10,9,5,7,4,1,8]=>[8,1,4,7,5,9,10,6,2,3]
[10,9,6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6,9,10]
[6,10,9,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,9,10,6]
[3,2,4,1,10,8,9,6,7,5]=>[5,7,6,9,8,10,1,4,2,3]
[3,2,10,8,9,6,7,4,1,5]=>[5,1,4,7,6,9,8,10,2,3]
[3,2,6,7,4,1,10,8,9,5]=>[5,9,8,10,1,4,7,6,2,3]
[3,2,6,8,9,5,10,7,4,1]=>[1,4,7,10,5,9,8,6,2,3]
[10,8,9,6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6,9,8,10]
[6,7,3,2,4,1,10,8,9,5]=>[5,9,8,10,1,4,2,3,7,6]
[6,8,9,5,10,7,3,2,4,1]=>[1,4,2,3,7,10,5,9,8,6]
[10,8,9,4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4,9,8,10]
[8,10,7,3,2,6,5,9,4,1]=>[1,4,9,5,6,2,3,7,10,8]
[3,10,9,6,7,2,4,1,5,8]=>[8,5,1,4,2,7,6,9,10,3]
[3,6,10,9,5,7,2,4,1,8]=>[8,1,4,2,7,5,9,10,6,3]
[3,10,8,9,6,7,2,4,1,5]=>[5,1,4,2,7,6,9,8,10,3]
[3,6,7,2,4,1,10,8,9,5]=>[5,9,8,10,1,4,2,7,6,3]
[3,6,8,9,5,10,7,2,4,1]=>[1,4,2,7,10,5,9,8,6,3]
[3,10,8,9,4,1,7,2,6,5]=>[5,6,2,7,1,4,9,8,10,3]
[3,4,5,6,7,8,10,9,2,1]=>[1,2,9,10,8,7,6,5,4,3]
[5,2,3,4,6,7,8,9,10,1]=>[1,10,9,8,7,6,4,3,2,5]
[8,2,3,4,5,6,7,9,10,1]=>[1,10,9,7,6,5,4,3,2,8]
[1,10,2,9,4,5,8,7,3,6]=>[6,3,7,8,5,4,9,2,10,1]
[1,10,2,9,5,4,8,6,7,3]=>[3,7,6,8,4,5,9,2,10,1]
[1,10,3,4,9,8,2,7,5,6]=>[6,5,7,2,8,9,4,3,10,1]
[1,10,3,4,9,8,5,6,7,2]=>[2,7,6,5,8,9,4,3,10,1]
[1,10,4,3,9,5,8,7,2,6]=>[6,2,7,8,5,9,3,4,10,1]
[1,10,5,3,9,4,8,6,7,2]=>[2,7,6,8,4,9,3,5,10,1]
[1,10,5,3,9,6,7,8,4,2]=>[2,4,8,7,6,9,3,5,10,1]
[1,10,4,5,6,9,8,7,2,3]=>[3,2,7,8,9,6,5,4,10,1]
[1,10,5,4,6,9,8,3,7,2]=>[2,7,3,8,9,6,4,5,10,1]
[1,10,5,6,4,9,7,8,3,2]=>[2,3,8,7,9,4,6,5,10,1]
[1,10,5,6,7,8,9,4,3,2]=>[2,3,4,9,8,7,6,5,10,1]
[2,3,10,9,1,8,4,7,5,6]=>[6,5,7,4,8,1,9,10,3,2]
[2,3,10,9,1,8,5,6,7,4]=>[4,7,6,5,8,1,9,10,3,2]
[2,3,10,9,4,5,8,7,1,6]=>[6,1,7,8,5,4,9,10,3,2]
[2,3,10,9,5,4,8,6,7,1]=>[1,7,6,8,4,5,9,10,3,2]
[2,3,10,9,5,6,7,8,4,1]=>[1,4,8,7,6,5,9,10,3,2]
[3,2,10,4,9,8,1,7,5,6]=>[6,5,7,1,8,9,4,10,2,3]
[3,2,10,4,9,8,5,6,7,1]=>[1,7,6,5,8,9,4,10,2,3]
[4,2,10,3,9,5,8,7,1,6]=>[6,1,7,8,5,9,3,10,2,4]
[5,2,10,3,9,4,8,6,7,1]=>[1,7,6,8,4,9,3,10,2,5]
[5,2,10,3,9,6,7,8,4,1]=>[1,4,8,7,6,9,3,10,2,5]
[4,2,10,5,6,9,8,7,1,3]=>[3,1,7,8,9,6,5,10,2,4]
[5,2,10,4,6,9,8,3,7,1]=>[1,7,3,8,9,6,4,10,2,5]
[5,2,10,6,4,9,7,8,3,1]=>[1,3,8,7,9,4,6,10,2,5]
[5,2,10,6,7,8,9,4,3,1]=>[1,3,4,9,8,7,6,10,2,5]
[3,4,5,10,9,8,2,6,7,1]=>[1,7,6,2,8,9,10,5,4,3]
[4,3,5,10,9,2,8,7,1,6]=>[6,1,7,8,2,9,10,5,3,4]
[5,3,4,10,9,2,8,6,7,1]=>[1,7,6,8,2,9,10,4,3,5]
[5,3,4,10,9,6,7,8,2,1]=>[1,2,8,7,6,9,10,4,3,5]
[4,5,3,10,6,9,8,7,1,2]=>[2,1,7,8,9,6,10,3,5,4]
[5,4,3,10,6,9,8,2,7,1]=>[1,7,2,8,9,6,10,3,4,5]
[5,6,3,10,4,9,7,8,2,1]=>[1,2,8,7,9,4,10,3,6,5]
[5,6,3,10,7,8,9,4,2,1]=>[1,2,4,9,8,7,10,3,6,5]
[4,5,6,7,10,9,8,3,1,2]=>[2,1,3,8,9,10,7,6,5,4]
[5,4,6,7,10,9,8,2,3,1]=>[1,3,2,8,9,10,7,6,4,5]
[5,6,4,7,10,9,3,8,2,1]=>[1,2,8,3,9,10,7,4,6,5]
[5,6,7,4,10,8,9,3,2,1]=>[1,2,3,9,8,10,4,7,6,5]
[2,1,3,4,6,7,8,9,10,5]=>[5,10,9,8,7,6,4,3,1,2]
[7,10,9,4,8,6,5,2,3,1]=>[1,3,2,5,6,8,4,9,10,7]
[7,10,9,8,4,6,2,5,3,1]=>[1,3,5,2,6,4,8,9,10,7]
[7,10,9,4,8,6,2,5,3,1]=>[1,3,5,2,6,8,4,9,10,7]
[7,10,9,4,8,2,6,5,3,1]=>[1,3,5,6,2,8,4,9,10,7]
[7,10,4,9,8,6,2,5,3,1]=>[1,3,5,2,6,8,9,4,10,7]
[7,10,4,9,8,2,6,5,3,1]=>[1,3,5,6,2,8,9,4,10,7]
[7,10,9,8,4,6,5,2,1,3]=>[3,1,2,5,6,4,8,9,10,7]
[7,10,9,4,8,6,5,2,1,3]=>[3,1,2,5,6,8,4,9,10,7]
[7,10,9,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,9,10,7]
[7,10,9,4,8,6,2,5,1,3]=>[3,1,5,2,6,8,4,9,10,7]
[7,10,9,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,9,10,7]
[7,10,4,9,8,6,2,5,1,3]=>[3,1,5,2,6,8,9,4,10,7]
[7,10,4,9,8,2,6,5,1,3]=>[3,1,5,6,2,8,9,4,10,7]
[7,10,9,8,4,6,2,1,5,3]=>[3,5,1,2,6,4,8,9,10,7]
[7,10,9,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,9,10,7]
[7,10,9,4,8,2,6,1,5,3]=>[3,5,1,6,2,8,4,9,10,7]
[7,10,9,4,8,2,1,6,5,3]=>[3,5,6,1,2,8,4,9,10,7]
[7,10,4,9,8,6,2,1,5,3]=>[3,5,1,2,6,8,9,4,10,7]
[7,10,4,9,8,2,6,1,5,3]=>[3,5,1,6,2,8,9,4,10,7]
[7,10,4,9,8,2,1,6,5,3]=>[3,5,6,1,2,8,9,4,10,7]
[7,10,9,8,4,2,6,5,1,3]=>[3,1,5,6,2,4,8,9,10,7]
[7,10,9,4,2,8,6,5,1,3]=>[3,1,5,6,8,2,4,9,10,7]
[7,10,4,9,2,8,6,5,1,3]=>[3,1,5,6,8,2,9,4,10,7]
[7,10,9,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,9,10,7]
[7,10,9,4,2,8,6,1,5,3]=>[3,5,1,6,8,2,4,9,10,7]
[7,10,9,4,2,8,1,6,5,3]=>[3,5,6,1,8,2,4,9,10,7]
[7,10,4,9,2,8,6,1,5,3]=>[3,5,1,6,8,2,9,4,10,7]
[7,10,4,9,2,8,1,6,5,3]=>[3,5,6,1,8,2,9,4,10,7]
[7,10,4,2,9,8,6,1,5,3]=>[3,5,1,6,8,9,2,4,10,7]
[7,10,4,2,9,8,1,6,5,3]=>[3,5,6,1,8,9,2,4,10,7]
[7,4,10,9,8,2,6,5,1,3]=>[3,1,5,6,2,8,9,10,4,7]
[7,4,10,9,2,8,6,5,1,3]=>[3,1,5,6,8,2,9,10,4,7]
[7,4,10,9,8,2,6,1,5,3]=>[3,5,1,6,2,8,9,10,4,7]
[7,4,10,9,2,8,6,1,5,3]=>[3,5,1,6,8,2,9,10,4,7]
[7,4,10,9,2,8,1,6,5,3]=>[3,5,6,1,8,2,9,10,4,7]
[7,4,10,2,9,8,6,1,5,3]=>[3,5,1,6,8,9,2,10,4,7]
[10,9,8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8,9,10]
[2,5,4,6,10,9,8,3,1,7]=>[7,1,3,8,9,10,6,4,5,2]
[2,5,4,6,10,8,9,1,7,3]=>[3,7,1,9,8,10,6,4,5,2]
[2,5,4,6,10,9,8,7,3,1]=>[1,3,7,8,9,10,6,4,5,2]
[2,5,4,7,10,8,9,6,3,1]=>[1,3,6,9,8,10,7,4,5,2]
[2,3,4,9,7,8,10,1,6,5]=>[5,6,1,10,8,7,9,4,3,2]
[2,3,5,8,7,9,10,1,6,4]=>[4,6,1,10,9,7,8,5,3,2]
[2,3,8,6,7,10,1,9,5,4]=>[4,5,9,1,10,7,6,8,3,2]
[2,4,5,9,7,8,10,1,6,3]=>[3,6,1,10,8,7,9,5,4,2]
[2,4,7,6,8,10,1,9,5,3]=>[3,5,9,1,10,8,6,7,4,2]
[2,3,5,9,7,8,10,6,4,1]=>[1,4,6,10,8,7,9,5,3,2]
[2,4,5,10,7,8,9,6,3,1]=>[1,3,6,9,8,7,10,5,4,2]
[2,4,7,6,8,10,9,5,3,1]=>[1,3,5,9,10,8,6,7,4,2]
[2,4,8,6,7,9,5,3,1,10]=>[10,1,3,5,9,7,6,8,4,2]
[2,6,5,7,9,10,8,4,3,1]=>[1,3,4,8,10,9,7,5,6,2]
[3,4,5,8,7,9,10,1,6,2]=>[2,6,1,10,9,7,8,5,4,3]
[3,4,8,6,7,10,1,9,5,2]=>[2,5,9,1,10,7,6,8,4,3]
[3,4,5,9,7,8,10,6,2,1]=>[1,2,6,10,8,7,9,5,4,3]
[3,4,7,6,8,9,10,5,2,1]=>[1,2,5,10,9,8,6,7,4,3]
[3,4,9,6,7,8,5,2,1,10]=>[10,1,2,5,8,7,6,9,4,3]
[3,6,5,7,10,9,8,4,2,1]=>[1,2,4,8,9,10,7,5,6,3]
[3,6,5,7,9,8,4,2,1,10]=>[10,1,2,4,8,9,7,5,6,3]
[7,6,5,4,3,2,9,8,10,1]=>[1,10,8,9,2,3,4,5,6,7]
[6,5,4,3,2,9,8,7,1,10]=>[10,1,7,8,9,2,3,4,5,6]
[6,5,4,3,2,9,8,7,10,1]=>[1,10,7,8,9,2,3,4,5,6]
[6,5,4,3,2,8,7,10,9,1]=>[1,9,10,7,8,2,3,4,5,6]
[6,5,4,3,2,8,7,9,10,1]=>[1,10,9,7,8,2,3,4,5,6]
[5,4,3,2,9,8,7,6,10,1]=>[1,10,6,7,8,9,2,3,4,5]
[5,4,3,2,8,7,6,1,9,10]=>[10,9,1,6,7,8,2,3,4,5]
[5,4,3,2,8,7,6,10,9,1]=>[1,9,10,6,7,8,2,3,4,5]
[5,4,3,2,8,7,6,9,10,1]=>[1,10,9,6,7,8,2,3,4,5]
[5,4,3,2,7,6,9,8,10,1]=>[1,10,8,9,6,7,2,3,4,5]
[5,4,3,2,7,6,8,9,10,1]=>[1,10,9,8,6,7,2,3,4,5]
[4,3,2,7,6,5,9,8,1,10]=>[10,1,8,9,5,6,7,2,3,4]
[4,3,2,7,6,5,9,8,10,1]=>[1,10,8,9,5,6,7,2,3,4]
[4,3,2,7,6,5,8,9,10,1]=>[1,10,9,8,5,6,7,2,3,4]
[4,3,2,6,5,8,7,10,9,1]=>[1,9,10,7,8,5,6,2,3,4]
[4,3,2,6,5,8,7,9,10,1]=>[1,10,9,7,8,5,6,2,3,4]
[4,3,2,6,5,7,8,9,10,1]=>[1,10,9,8,7,5,6,2,3,4]
[3,2,5,4,7,6,8,9,10,1]=>[1,10,9,8,6,7,4,5,2,3]
[3,2,5,4,6,7,8,9,10,1]=>[1,10,9,8,7,6,4,5,2,3]
[10,5,8,4,2,1,6,3,7,9]=>[9,7,3,6,1,2,4,8,5,10]
[9,4,2,1,6,3,7,10,5,8]=>[8,5,10,7,3,6,1,2,4,9]
[7,3,10,5,8,4,2,1,6,9]=>[9,6,1,2,4,8,5,10,3,7]
[7,3,9,4,2,1,6,10,5,8]=>[8,5,10,6,1,2,4,9,3,7]
[9,4,2,1,6,10,5,8,3,7]=>[7,3,8,5,10,6,1,2,4,9]
[8,4,10,5,2,1,6,3,7,9]=>[9,7,3,6,1,2,5,10,4,8]
[10,5,2,1,6,3,7,9,4,8]=>[8,4,9,7,3,6,1,2,5,10]
[7,3,8,4,10,5,2,1,6,9]=>[9,6,1,2,5,10,4,8,3,7]
[7,3,10,5,2,1,6,9,4,8]=>[8,4,9,6,1,2,5,10,3,7]
[10,5,2,1,6,9,4,8,3,7]=>[7,3,8,4,9,6,1,2,5,10]
[6,2,1,7,3,8,4,10,5,9]=>[9,5,10,4,8,3,7,1,2,6]
[6,2,1,7,3,10,5,9,4,8]=>[8,4,9,5,10,3,7,1,2,6]
[6,2,1,10,5,9,4,8,3,7]=>[7,3,8,4,9,5,10,1,2,6]
[6,3,1,10,5,8,4,2,7,9]=>[9,7,2,4,8,5,10,1,3,6]
[6,3,1,9,4,2,7,10,5,8]=>[8,5,10,7,2,4,9,1,3,6]
[10,5,8,4,2,7,3,1,6,9]=>[9,6,1,3,7,2,4,8,5,10]
[9,4,2,7,3,1,6,10,5,8]=>[8,5,10,6,1,3,7,2,4,9]
[10,5,8,3,1,6,9,4,2,7]=>[7,2,4,9,6,1,3,8,5,10]
[6,3,1,8,4,10,5,2,7,9]=>[9,7,2,5,10,4,8,1,3,6]
[6,3,1,10,5,2,7,9,4,8]=>[8,4,9,7,2,5,10,1,3,6]
[8,4,10,5,2,7,3,1,6,9]=>[9,6,1,3,7,2,5,10,4,8]
[10,5,2,7,3,1,6,9,4,8]=>[8,4,9,6,1,3,7,2,5,10]
[9,4,8,3,1,6,10,5,2,7]=>[7,2,5,10,6,1,3,8,4,9]
[7,3,1,6,2,8,4,10,5,9]=>[9,5,10,4,8,2,6,1,3,7]
[7,3,1,6,2,10,5,9,4,8]=>[8,4,9,5,10,2,6,1,3,7]
[10,5,9,4,8,3,1,6,2,7]=>[7,2,6,1,3,8,4,9,5,10]
[7,2,10,5,9,4,8,3,1,6]=>[6,1,3,8,4,9,5,10,2,7]
[8,4,1,6,3,10,5,2,7,9]=>[9,7,2,5,10,3,6,1,4,8]
[10,5,2,7,9,4,1,6,3,8]=>[8,3,6,1,4,9,7,2,5,10]
[10,5,2,7,3,8,4,1,6,9]=>[9,6,1,4,8,3,7,2,5,10]
[9,4,1,6,10,5,2,7,3,8]=>[8,3,7,2,5,10,6,1,4,9]
[8,3,9,4,1,6,10,5,2,7]=>[7,2,5,10,6,1,4,9,3,8]
[8,4,1,6,2,7,3,10,5,9]=>[9,5,10,3,7,2,6,1,4,8]
[10,5,9,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,9,5,10]
[8,3,10,5,9,4,1,6,2,7]=>[7,2,6,1,4,9,5,10,3,8]
[7,2,8,3,10,5,9,4,1,6]=>[6,1,4,9,5,10,3,8,2,7]
[9,4,10,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,10,4,9]
[8,3,9,4,10,5,1,6,2,7]=>[7,2,6,1,5,10,4,9,3,8]
[3,5,1,2,6,7,8,9,10,4]=>[4,10,9,8,7,6,2,1,5,3]
[3,4,6,1,2,7,8,9,10,5]=>[5,10,9,8,7,2,1,6,4,3]
[3,4,5,6,8,1,2,9,10,7]=>[7,10,9,2,1,8,6,5,4,3]
[3,4,5,6,7,9,1,2,10,8]=>[8,10,2,1,9,7,6,5,4,3]
[1,2,9,3,4,5,6,10,7,8]=>[8,7,10,6,5,4,3,9,2,1]
[1,2,3,4,9,5,6,10,7,8]=>[8,7,10,6,5,9,4,3,2,1]
[7,10,6,9,5,4,3,2,1,8]=>[8,1,2,3,4,5,9,6,10,7]
[10,1,3,5,7,9,2,4,6,8]=>[8,6,4,2,9,7,5,3,1,10]
[1,3,5,2,6,7,4,8,9,10]=>[10,9,8,4,7,6,2,5,3,1]
[1,5,6,3,2,4,7,8,9,10]=>[10,9,8,7,4,2,3,6,5,1]
[1,3,4,2,6,7,8,9,5,10]=>[10,5,9,8,7,6,2,4,3,1]
[1,2,6,3,7,8,4,5,9,10]=>[10,9,5,4,8,7,3,6,2,1]
[1,4,6,3,2,7,8,5,9,10]=>[10,9,5,8,7,2,3,6,4,1]
[1,6,2,7,4,5,3,8,9,10]=>[10,9,8,3,5,4,7,2,6,1]
[1,6,7,4,3,2,5,8,9,10]=>[10,9,8,5,2,3,4,7,6,1]
[1,2,5,3,7,8,4,9,10,6]=>[6,10,9,4,8,7,3,5,2,1]
[1,4,5,3,2,7,8,9,10,6]=>[6,10,9,8,7,2,3,5,4,1]
[1,5,7,4,3,2,8,9,6,10]=>[10,6,9,8,2,3,4,7,5,1]
[1,7,2,8,5,6,3,4,9,10]=>[10,9,4,3,6,5,8,2,7,1]
[1,7,8,5,4,3,2,6,9,10]=>[10,9,6,2,3,4,5,8,7,1]
[1,3,2,6,8,5,9,10,7,4]=>[4,7,10,9,5,8,6,2,3,1]
[1,2,8,3,5,9,10,6,4,7]=>[7,4,6,10,9,5,3,8,2,1]
[1,4,2,8,9,10,3,5,6,7]=>[7,6,5,3,10,9,8,2,4,1]
[1,6,8,5,4,3,2,9,10,7]=>[7,10,9,2,3,4,5,8,6,1]
[1,8,2,4,9,6,7,5,3,10]=>[10,3,5,7,6,9,4,2,8,1]
[1,8,2,9,6,7,4,3,5,10]=>[10,5,3,4,7,6,9,2,8,1]
[1,8,9,6,5,4,3,2,7,10]=>[10,7,2,3,4,5,6,9,8,1]
[1,9,2,10,3,7,8,5,6,4]=>[4,6,5,8,7,3,10,2,9,1]
[1,9,2,10,7,8,5,4,3,6]=>[6,3,4,5,8,7,10,2,9,1]
[8,2,1,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,1,2,8]
[7,2,1,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,1,2,7]
[6,2,1,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,1,2,6]
[5,2,1,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,1,2,5]
[4,5,3,9,6,2,7,1,10,8]=>[8,10,1,7,2,6,9,3,5,4]
[4,5,3,6,2,9,7,1,8,10]=>[10,8,1,7,9,2,6,3,5,4]
[8,9,4,3,5,2,10,6,1,7]=>[7,1,6,10,2,5,3,4,9,8]
[4,3,8,5,2,6,1,9,7,10]=>[10,7,9,1,6,2,5,8,3,4]
[4,3,5,2,10,6,1,8,7,9]=>[9,7,8,1,6,10,2,5,3,4]
[4,3,5,2,8,6,1,7,9,10]=>[10,9,7,1,6,8,2,5,3,4]
[7,8,3,4,2,9,5,1,6,10]=>[10,6,1,5,9,2,4,3,8,7]
[3,10,7,4,2,5,1,8,6,9]=>[9,6,8,1,5,2,4,7,10,3]
[3,7,4,2,5,1,8,6,9,10]=>[10,9,6,8,1,5,2,4,7,3]
[3,4,2,9,5,1,7,6,8,10]=>[10,8,6,7,1,5,9,2,4,3]
[3,4,2,7,5,1,6,8,9,10]=>[10,9,8,6,1,5,7,2,4,3]
[3,6,10,7,2,8,4,1,5,9]=>[9,5,1,4,8,2,7,10,6,3]
[3,6,7,2,8,4,1,5,9,10]=>[10,9,5,1,4,8,2,7,6,3]
[6,9,3,2,10,7,4,1,5,8]=>[8,5,1,4,7,10,2,3,9,6]
[9,6,3,2,4,1,7,5,8,10]=>[10,8,5,7,1,4,2,3,6,9]
[6,3,2,4,1,7,5,8,9,10]=>[10,9,8,5,7,1,4,2,3,6]
[3,2,10,4,1,8,6,5,7,9]=>[9,7,5,6,8,1,4,10,2,3]
[3,2,8,4,1,6,5,7,9,10]=>[10,9,7,5,6,1,4,8,2,3]
[3,2,6,4,1,5,7,8,9,10]=>[10,9,8,7,5,1,4,6,2,3]
[5,8,2,9,6,3,1,4,7,10]=>[10,7,4,1,3,6,9,2,8,5]
[10,5,2,3,1,8,6,4,7,9]=>[9,7,4,6,8,1,3,2,5,10]
[8,5,2,3,1,6,4,7,9,10]=>[10,9,7,4,6,1,3,2,5,8]
[5,2,3,1,6,4,7,8,9,10]=>[10,9,8,7,4,6,1,3,2,5]
[2,9,3,1,7,5,4,6,8,10]=>[10,8,6,4,5,7,1,3,9,2]
[2,7,3,1,5,4,6,8,9,10]=>[10,9,8,6,4,5,1,3,7,2]
[2,5,3,1,4,6,7,8,9,10]=>[10,9,8,7,6,4,1,3,5,2]
[8,2,1,6,4,3,5,7,9,10]=>[10,9,7,5,3,4,6,1,2,8]
[10,9,7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7,9,10]
[10,1,2,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,2,1,10]
[10,1,2,3,7,5,6,4,8,9]=>[9,8,4,6,5,7,3,2,1,10]
[10,1,2,3,4,9,7,5,6,8]=>[8,6,5,7,9,4,3,2,1,10]
[10,1,6,3,4,5,2,7,8,9]=>[9,8,7,2,5,4,3,6,1,10]
[10,1,2,9,4,6,3,7,5,8]=>[8,5,7,3,6,4,9,2,1,10]
[10,1,2,3,6,5,8,7,4,9]=>[9,4,7,8,5,6,3,2,1,10]
[10,1,2,3,9,6,4,8,5,7]=>[7,5,8,4,6,9,3,2,1,10]
[10,9,2,3,5,1,6,7,4,8]=>[8,4,7,6,1,5,3,2,9,10]
[10,1,8,5,4,2,3,7,6,9]=>[9,6,7,3,2,4,5,8,1,10]
[10,1,9,3,5,2,6,8,4,7]=>[7,4,8,6,2,5,3,9,1,10]
[10,1,2,7,5,9,4,3,6,8]=>[8,6,3,4,9,5,7,2,1,10]
[8,1,4,3,10,5,2,7,6,9]=>[9,6,7,2,5,10,3,4,1,8]
[9,1,2,4,10,5,6,8,3,7]=>[7,3,8,6,5,10,4,2,1,9]
[10,4,2,3,7,5,6,1,8,9]=>[9,8,1,6,5,7,3,2,4,10]
[10,9,7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7,9,10]
[10,9,2,4,1,5,7,8,3,6]=>[6,3,8,7,5,1,4,2,9,10]
[10,1,4,3,6,5,8,7,2,9]=>[9,2,7,8,5,6,3,4,1,10]
[10,1,9,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,9,1,10]
[6,1,3,9,4,2,10,7,5,8]=>[8,5,7,10,2,4,9,3,1,6]
[8,3,2,10,6,5,1,7,4,9]=>[9,4,7,1,5,6,10,2,3,8]
[9,8,3,10,1,6,4,2,5,7]=>[7,5,2,4,6,1,10,3,8,9]
[9,1,3,10,4,6,7,8,2,5]=>[5,2,8,7,6,4,10,3,1,9]
[10,8,3,9,5,1,7,2,4,6]=>[6,4,2,7,1,5,9,3,8,10]
[10,9,3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3,9,10]
[3,7,4,8,5,9,1,10,6,2]=>[2,6,10,1,9,5,8,4,7,3]
[3,7,4,8,1,5,2,9,10,6]=>[6,10,9,2,5,1,8,4,7,3]
[4,8,5,9,2,6,3,10,7,1]=>[1,7,10,3,6,2,9,5,8,4]
[5,8,6,9,1,2,10,7,4,3]=>[3,4,7,10,2,1,9,6,8,5]
[3,7,1,4,2,8,5,9,10,6]=>[6,10,9,5,8,2,4,1,7,3]
[5,8,1,2,6,9,3,10,7,4]=>[4,7,10,3,9,6,2,1,8,5]
[4,8,2,5,3,6,1,9,10,7]=>[7,10,9,1,6,3,5,2,8,4]
[5,9,3,1,6,7,4,10,8,2]=>[2,8,10,4,7,6,1,3,9,5]
[6,9,4,2,7,1,10,8,5,3]=>[3,5,8,10,1,7,2,4,9,6]
[5,8,1,2,6,4,3,9,10,7]=>[7,10,9,3,4,6,2,1,8,5]
[6,9,1,2,7,3,5,10,8,4]=>[4,8,10,5,3,7,2,1,9,6]
[7,9,3,1,5,4,10,8,6,2]=>[2,6,8,10,4,5,1,3,9,7]
[1,3,2,7,4,8,5,9,10,6]=>[6,10,9,5,8,4,7,2,3,1]
[1,2,5,8,6,9,3,10,7,4]=>[4,7,10,3,9,6,8,5,2,1]
[1,2,5,8,3,6,4,9,10,7]=>[7,10,9,4,6,3,8,5,2,1]
[2,3,6,9,4,7,5,10,8,1]=>[1,8,10,5,7,4,9,6,3,2]
[4,5,7,9,1,2,10,8,6,3]=>[3,6,8,10,2,1,9,7,5,4]
[2,4,3,5,1,8,6,9,10,7]=>[7,10,9,6,8,1,5,3,4,2]
[2,3,6,1,7,9,4,10,8,5]=>[5,8,10,4,9,7,1,6,3,2]
[3,1,5,6,4,7,2,9,10,8]=>[8,10,9,2,7,4,6,5,1,3]
[4,1,6,2,7,8,5,10,9,3]=>[3,9,10,5,8,7,2,6,1,4]
[5,2,7,3,8,1,10,9,6,4]=>[4,6,9,10,1,8,3,7,2,5]
[4,2,6,1,7,5,3,9,10,8]=>[8,10,9,3,5,7,1,6,2,4]
[5,2,7,1,8,3,6,10,9,4]=>[4,9,10,6,3,8,1,7,2,5]
[5,1,8,2,6,4,10,9,7,3]=>[3,7,9,10,4,6,2,8,1,5]
[6,2,8,1,3,10,9,7,5,4]=>[4,5,7,9,10,3,1,8,2,6]
[1,2,5,4,3,8,6,9,10,7]=>[7,10,9,6,8,3,4,5,2,1]
[1,2,4,3,7,9,5,10,8,6]=>[6,8,10,5,9,7,3,4,2,1]
[1,2,6,3,5,7,4,9,10,8]=>[8,10,9,4,7,5,3,6,2,1]
[2,3,5,4,7,8,6,10,9,1]=>[1,9,10,6,8,7,4,5,3,2]
[3,4,6,5,8,1,10,9,7,2]=>[2,7,9,10,1,8,5,6,4,3]
[3,1,5,4,7,6,2,9,10,8]=>[8,10,9,2,6,7,4,5,1,3]
[3,1,4,6,8,2,7,10,9,5]=>[5,9,10,7,2,8,6,4,1,3]
[4,2,6,5,7,3,10,9,8,1]=>[1,8,9,10,3,7,5,6,2,4]
[5,1,3,7,2,10,9,8,6,4]=>[4,6,8,9,10,2,7,3,1,5]
[1,2,3,7,6,5,4,9,10,8]=>[8,10,9,4,5,6,7,3,2,1]
[1,2,3,8,5,4,7,10,9,6]=>[6,9,10,7,4,5,8,3,2,1]
[2,3,4,7,1,6,10,9,8,5]=>[5,8,9,10,6,1,7,4,3,2]
[4,1,2,6,5,10,9,8,7,3]=>[3,7,8,9,10,5,6,2,1,4]
[1,7,2,6,10,8,9,3,5,4]=>[4,5,3,9,8,10,6,2,7,1]
[1,7,9,8,2,6,3,5,4,10]=>[10,4,5,3,6,2,8,9,7,1]
[1,6,9,2,5,3,4,10,7,8]=>[8,7,10,4,3,5,2,9,6,1]
[1,6,2,5,9,7,8,3,4,10]=>[10,4,3,8,7,9,5,2,6,1]
[1,6,8,2,5,3,4,7,10,9]=>[9,10,7,4,3,5,2,8,6,1]
[1,6,8,7,2,5,3,4,9,10]=>[10,9,4,3,5,2,7,8,6,1]
[1,5,8,2,4,3,9,6,7,10]=>[10,7,6,9,3,4,2,8,5,1]
[1,5,2,4,8,3,6,7,10,9]=>[9,10,7,6,3,8,4,2,5,1]
[1,5,2,4,8,6,7,3,9,10]=>[10,9,3,7,6,8,4,2,5,1]
[1,5,7,2,4,3,6,9,8,10]=>[10,8,9,6,3,4,2,7,5,1]
[1,5,7,6,2,4,3,8,9,10]=>[10,9,8,3,4,2,6,7,5,1]
[1,4,7,10,9,5,2,8,3,6]=>[6,3,8,2,5,9,10,7,4,1]
[1,4,7,2,8,5,3,6,9,10]=>[10,9,6,3,5,8,2,7,4,1]
[1,4,10,8,2,3,7,9,5,6]=>[6,5,9,7,3,2,8,10,4,1]
[1,4,2,3,7,5,6,9,8,10]=>[10,8,9,6,5,7,3,2,4,1]
[1,4,2,3,7,5,6,8,9,10]=>[10,9,8,6,5,7,3,2,4,1]
[1,4,6,10,9,7,2,3,5,8]=>[8,5,3,2,7,9,10,6,4,1]
[1,4,6,2,3,5,8,7,9,10]=>[10,9,7,8,5,3,2,6,4,1]
[1,4,6,5,2,3,7,8,9,10]=>[10,9,8,7,3,2,5,6,4,1]
[1,3,9,7,2,6,8,4,5,10]=>[10,5,4,8,6,2,7,9,3,1]
[1,3,2,6,10,9,7,4,5,8]=>[8,5,4,7,9,10,6,2,3,1]
[1,3,2,6,4,5,8,7,9,10]=>[10,9,7,8,5,4,6,2,3,1]
[1,3,2,6,4,5,7,8,9,10]=>[10,9,8,7,5,4,6,2,3,1]
[1,3,5,9,8,6,2,4,7,10]=>[10,7,4,2,6,8,9,5,3,1]
[1,3,5,2,4,7,6,8,9,10]=>[10,9,8,6,7,4,2,5,3,1]
[1,3,5,4,2,6,7,8,9,10]=>[10,9,8,7,6,2,4,5,3,1]
[1,2,4,8,7,5,3,6,9,10]=>[10,9,6,3,5,7,8,4,2,1]
[1,2,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,2,1]
[7,10,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,10,7]
[7,6,10,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,10,6,7]
[7,6,5,10,8,4,3,2,1,9]=>[9,1,2,3,4,8,10,5,6,7]
[7,6,5,4,10,8,3,2,1,9]=>[9,1,2,3,8,10,4,5,6,7]
[7,6,5,4,3,10,8,2,1,9]=>[9,1,2,8,10,3,4,5,6,7]
[7,6,5,4,3,2,10,8,1,9]=>[9,1,8,10,2,3,4,5,6,7]
[10,1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1,10]
[10,1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1,10]
[2,5,4,9,8,7,1,3,6,10]=>[10,6,3,1,7,8,9,4,5,2]
[2,5,4,10,9,8,6,1,3,7]=>[7,3,1,6,8,9,10,4,5,2]
[2,4,8,6,7,10,3,5,1,9]=>[9,1,5,3,10,7,6,8,4,2]
[2,3,4,1,7,10,9,5,6,8]=>[8,6,5,9,10,7,1,4,3,2]
[2,3,5,7,1,10,9,4,6,8]=>[8,6,4,9,10,1,7,5,3,2]
[2,3,7,6,10,9,1,4,5,8]=>[8,5,4,1,9,10,6,7,3,2]
[2,3,10,6,9,8,4,5,1,7]=>[7,1,5,4,8,9,6,10,3,2]
[2,4,5,7,3,10,9,1,6,8]=>[8,6,1,9,10,3,7,5,4,2]
[2,4,7,6,10,9,3,1,5,8]=>[8,5,1,3,9,10,6,7,4,2]
[2,4,10,6,9,8,1,5,3,7]=>[7,3,5,1,8,9,6,10,4,2]
[2,6,5,7,10,9,4,1,3,8]=>[8,3,1,4,9,10,7,5,6,2]
[2,6,5,10,9,8,1,3,4,7]=>[7,4,3,1,8,9,10,5,6,2]
[3,4,5,7,1,10,9,2,6,8]=>[8,6,2,9,10,1,7,5,4,3]
[3,4,7,6,10,9,1,2,5,8]=>[8,5,2,1,9,10,6,7,4,3]
[3,4,10,6,9,8,2,5,1,7]=>[7,1,5,2,8,9,6,10,4,3]
[9,3,1,5,2,7,4,6,8,10]=>[10,8,6,4,7,2,5,1,3,9]
[7,3,1,5,2,4,6,9,8,10]=>[10,8,9,6,4,2,5,1,3,7]
[1,2,3,4,5,6,9,8,7,10]=>[10,7,8,9,6,5,4,3,2,1]
[1,2,3,4,8,7,6,5,9,10]=>[10,9,5,6,7,8,4,3,2,1]
[1,2,3,4,5,9,7,6,10,8]=>[8,10,6,7,9,5,4,3,2,1]
[1,2,3,8,7,5,4,6,10,9]=>[9,10,6,4,5,7,8,3,2,1]
[1,2,3,4,7,6,9,8,5,10]=>[10,5,8,9,6,7,4,3,2,1]
[1,2,3,4,9,6,5,8,10,7]=>[7,10,8,5,6,9,4,3,2,1]
[1,7,6,5,3,2,4,8,10,9]=>[9,10,8,4,2,3,5,6,7,1]
[1,2,8,5,4,3,9,7,6,10]=>[10,6,7,9,3,4,5,8,2,1]
[1,2,8,7,4,3,5,9,10,6]=>[6,10,9,5,3,4,7,8,2,1]
[1,2,3,7,5,9,6,4,10,8]=>[8,10,4,6,9,5,7,3,2,1]
[7,6,3,2,1,4,9,8,5,10]=>[10,5,8,9,4,1,2,3,6,7]
[7,6,5,2,1,3,4,9,10,8]=>[8,10,9,4,3,1,2,5,6,7]
[1,5,4,3,8,7,6,2,9,10]=>[10,9,2,6,7,8,3,4,5,1]
[1,8,5,3,2,9,6,4,10,7]=>[7,10,4,6,9,2,3,5,8,1]
[1,8,7,3,2,4,6,9,10,5]=>[5,10,9,6,4,2,3,7,8,1]
[1,2,5,4,7,6,9,8,3,10]=>[10,3,8,9,6,7,4,5,2,1]
[1,2,9,4,3,6,7,8,10,5]=>[5,10,8,7,6,3,4,9,2,1]
[5,4,2,8,7,3,1,6,10,9]=>[9,10,6,1,3,7,8,2,4,5]
[8,3,2,1,6,5,9,7,4,10]=>[10,4,7,9,5,6,1,2,3,8]
[8,5,2,1,9,4,3,7,10,6]=>[6,10,7,3,4,9,1,2,5,8]
[8,7,2,1,3,5,6,9,10,4]=>[4,10,9,6,5,3,1,2,7,8]
[1,7,3,9,4,2,6,8,10,5]=>[5,10,8,6,2,4,9,3,7,1]
[1,9,3,2,5,6,7,8,10,4]=>[4,10,8,7,6,5,2,3,9,1]
[5,2,7,3,9,4,1,8,10,6]=>[6,10,8,1,4,9,3,7,2,5]
[7,2,9,3,1,5,6,8,10,4]=>[4,10,8,6,5,1,3,9,2,7]
[9,2,1,4,5,6,7,8,10,3]=>[3,10,8,7,6,5,4,1,2,9]
[6,5,4,3,2,10,7,9,1,8]=>[8,1,9,7,10,2,3,4,5,6]
[7,6,5,4,3,10,8,9,1,2]=>[2,1,9,8,10,3,4,5,6,7]
[6,5,4,3,10,7,9,2,1,8]=>[8,1,2,9,7,10,3,4,5,6]
[6,5,4,3,1,2,10,8,9,7]=>[7,9,8,10,2,1,3,4,5,6]
[7,6,5,4,10,3,1,8,9,2]=>[2,9,8,1,3,10,4,5,6,7]
[7,6,5,4,3,9,10,1,8,2]=>[2,8,1,10,9,3,4,5,6,7]
[1,8,9,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,9,8,1]
[5,6,8,4,9,1,10,2,7,3]=>[3,7,2,10,1,9,4,8,6,5]
[6,8,4,5,9,1,10,2,7,3]=>[3,7,2,10,1,9,5,4,8,6]
[8,4,5,9,1,10,2,7,6,3]=>[3,6,7,2,10,1,9,5,4,8]
[9,4,5,8,1,10,2,7,6,3]=>[3,6,7,2,10,1,8,5,4,9]
[10,1,9,4,5,8,2,7,6,3]=>[3,6,7,2,8,5,4,9,1,10]
[8,2,7,6,4,5,10,1,9,3]=>[3,9,1,10,5,4,6,7,2,8]
[6,4,8,2,7,5,10,1,9,3]=>[3,9,1,10,5,7,2,8,4,6]
[6,4,7,5,8,2,10,1,9,3]=>[3,9,1,10,2,8,5,7,4,6]
[6,4,7,5,8,2,9,3,10,1]=>[1,10,3,9,2,8,5,7,4,6]
[10,9,8,7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7,8,9,10]
[10,9,8,4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4,8,9,10]
[10,9,8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8,9,10]
[10,9,8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8,9,10]
[10,5,4,3,1,9,8,7,6,2]=>[2,6,7,8,9,1,3,4,5,10]
[10,9,5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5,9,10]
[10,9,5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5,9,10]
[6,5,2,1,10,9,8,7,4,3]=>[3,4,7,8,9,10,1,2,5,6]
[10,6,3,1,9,8,7,5,4,2]=>[2,4,5,7,8,9,1,3,6,10]
[10,6,5,1,9,8,7,4,3,2]=>[2,3,4,7,8,9,1,5,6,10]
[10,9,6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6,9,10]
[7,4,1,10,9,8,6,5,3,2]=>[2,3,5,6,8,9,10,1,4,7]
[7,6,1,10,9,8,5,4,3,2]=>[2,3,4,5,8,9,10,1,6,7]
[10,5,1,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,1,5,10]
[10,7,1,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,1,7,10]
[1,2,3,5,7,6,4,8,9,10]=>[10,9,8,4,6,7,5,3,2,1]
[3,4,1,9,6,2,7,5,10,8]=>[8,10,5,7,2,6,9,1,4,3]
[4,1,9,6,2,7,3,10,8,5]=>[5,8,10,3,7,2,6,9,1,4]
[6,4,1,9,5,2,7,3,10,8]=>[8,10,3,7,2,5,9,1,4,6]
[3,6,1,9,5,2,7,4,10,8]=>[8,10,4,7,2,5,9,1,6,3]
[3,8,5,1,6,2,9,4,10,7]=>[7,10,4,9,2,6,1,5,8,3]
[5,3,8,1,9,4,2,6,10,7]=>[7,10,6,2,4,9,1,8,3,5]
[6,9,2,1,5,3,7,4,10,8]=>[8,10,4,7,3,5,1,2,9,6]
[2,5,8,1,9,4,3,6,10,7]=>[7,10,6,3,4,9,1,8,5,2]
[7,6,4,8,5,3,2,9,1,10]=>[10,1,9,2,3,5,8,4,6,7]
[7,6,5,4,8,2,9,3,1,10]=>[10,1,3,9,2,8,4,5,6,7]
[7,6,5,8,2,4,9,3,1,10]=>[10,1,3,9,4,2,8,5,6,7]
[7,6,4,8,2,9,5,3,1,10]=>[10,1,3,5,9,2,8,4,6,7]
[7,6,8,2,5,4,9,3,1,10]=>[10,1,3,9,4,5,2,8,6,7]
[7,6,8,2,4,9,5,3,1,10]=>[10,1,3,5,9,4,2,8,6,7]
[7,6,4,8,5,3,2,1,10,9]=>[9,10,1,2,3,5,8,4,6,7]
[7,6,5,4,8,3,1,9,10,2]=>[2,10,9,1,3,8,4,5,6,7]
[7,6,5,8,4,2,1,9,10,3]=>[3,10,9,1,2,4,8,5,6,7]
[7,6,4,8,5,1,9,3,10,2]=>[2,10,3,9,1,5,8,4,6,7]
[7,6,8,5,3,2,1,9,10,4]=>[4,10,9,1,2,3,5,8,6,7]
[7,6,8,5,2,1,9,4,10,3]=>[3,10,4,9,1,2,5,8,6,7]
[7,6,5,4,8,2,1,10,9,3]=>[3,9,10,1,2,8,4,5,6,7]
[7,6,5,8,2,4,1,10,9,3]=>[3,9,10,1,4,2,8,5,6,7]
[7,6,5,8,2,1,9,10,4,3]=>[3,4,10,9,1,2,8,5,6,7]
[7,6,4,8,2,1,10,9,5,3]=>[3,5,9,10,1,2,8,4,6,7]
[7,6,8,2,5,4,1,10,9,3]=>[3,9,10,1,4,5,2,8,6,7]
[7,6,8,2,5,1,9,10,4,3]=>[3,4,10,9,1,5,2,8,6,7]
[7,6,8,2,4,1,10,9,5,3]=>[3,5,9,10,1,4,2,8,6,7]
[7,6,5,4,8,1,9,3,10,2]=>[2,10,3,9,1,8,4,5,6,7]
[7,6,5,8,3,1,9,4,10,2]=>[2,10,4,9,1,3,8,5,6,7]
[7,6,4,8,1,9,5,3,10,2]=>[2,10,3,5,9,1,8,4,6,7]
[7,6,8,4,3,1,9,5,10,2]=>[2,10,5,9,1,3,4,8,6,7]
[7,6,8,3,1,9,5,4,10,2]=>[2,10,4,5,9,1,3,8,6,7]
[7,6,5,4,8,1,3,10,9,2]=>[2,9,10,3,1,8,4,5,6,7]
[7,6,5,8,3,1,4,10,9,2]=>[2,9,10,4,1,3,8,5,6,7]
[7,6,5,8,1,3,9,10,4,2]=>[2,4,10,9,3,1,8,5,6,7]
[7,6,4,8,1,3,10,9,5,2]=>[2,5,9,10,3,1,8,4,6,7]
[7,6,8,4,3,1,5,10,9,2]=>[2,9,10,5,1,3,4,8,6,7]
[7,6,8,4,1,3,9,10,5,2]=>[2,5,10,9,3,1,4,8,6,7]
[7,6,8,3,1,4,10,9,5,2]=>[2,5,9,10,4,1,3,8,6,7]
[7,6,8,1,3,9,5,10,4,2]=>[2,4,10,5,9,3,1,8,6,7]
[7,6,8,1,3,5,10,9,4,2]=>[2,4,9,10,5,3,1,8,6,7]
[7,8,5,4,3,1,9,6,10,2]=>[2,10,6,9,1,3,4,5,8,7]
[7,8,5,3,1,9,6,4,10,2]=>[2,10,4,6,9,1,3,5,8,7]
[7,8,5,4,3,1,6,10,9,2]=>[2,9,10,6,1,3,4,5,8,7]
[7,8,5,4,1,3,9,10,6,2]=>[2,6,10,9,3,1,4,5,8,7]
[7,8,5,3,1,4,10,9,6,2]=>[2,6,9,10,4,1,3,5,8,7]
[7,8,5,1,3,9,6,10,4,2]=>[2,4,10,6,9,3,1,5,8,7]
[9,2,3,4,5,6,8,10,1,7]=>[7,1,10,8,6,5,4,3,2,9]
[8,2,3,4,5,7,10,1,9,6]=>[6,9,1,10,7,5,4,3,2,8]
[7,2,3,4,10,5,1,8,9,6]=>[6,9,8,1,5,10,4,3,2,7]
[6,2,3,5,10,1,7,8,9,4]=>[4,9,8,7,1,10,5,3,2,6]
[5,2,4,10,1,6,7,8,9,3]=>[3,9,8,7,6,1,10,4,2,5]
[4,10,2,1,5,6,7,8,9,3]=>[3,9,8,7,6,5,1,2,10,4]
[4,3,6,5,8,7,10,9,1,2]=>[2,1,9,10,7,8,5,6,3,4]
[4,3,6,5,9,7,8,1,10,2]=>[2,10,1,8,7,9,5,6,3,4]
[4,3,7,5,6,8,10,9,1,2]=>[2,1,9,10,8,6,5,7,3,4]
[4,3,7,5,6,9,8,1,10,2]=>[2,10,1,8,9,6,5,7,3,4]
[4,3,8,5,6,7,1,9,10,2]=>[2,10,9,1,7,6,5,8,3,4]
[5,3,4,6,8,7,10,9,1,2]=>[2,1,9,10,7,8,6,4,3,5]
[5,3,4,6,9,7,8,1,10,2]=>[2,10,1,8,7,9,6,4,3,5]
[5,3,4,7,6,8,10,9,1,2]=>[2,1,9,10,8,6,7,4,3,5]
[5,3,4,7,6,9,8,1,10,2]=>[2,10,1,8,9,6,7,4,3,5]
[5,3,4,8,6,7,1,9,10,2]=>[2,10,9,1,7,6,8,4,3,5]
[6,3,4,5,7,8,10,9,1,2]=>[2,1,9,10,8,7,5,4,3,6]
[6,3,4,5,7,9,8,1,10,2]=>[2,10,1,8,9,7,5,4,3,6]
[6,3,4,5,8,7,1,9,10,2]=>[2,10,9,1,7,8,5,4,3,6]
[2,4,6,5,8,7,10,9,1,3]=>[3,1,9,10,7,8,5,6,4,2]
[2,4,6,5,9,7,8,1,10,3]=>[3,10,1,8,7,9,5,6,4,2]
[2,4,7,5,6,8,10,9,1,3]=>[3,1,9,10,8,6,5,7,4,2]
[2,4,7,5,6,9,8,1,10,3]=>[3,10,1,8,9,6,5,7,4,2]
[2,4,8,5,6,7,1,9,10,3]=>[3,10,9,1,7,6,5,8,4,2]
[2,5,4,6,8,7,10,9,1,3]=>[3,1,9,10,7,8,6,4,5,2]
[2,5,4,6,9,7,8,1,10,3]=>[3,10,1,8,7,9,6,4,5,2]
[2,5,4,7,6,8,10,9,1,3]=>[3,1,9,10,8,6,7,4,5,2]
[2,5,4,7,6,9,8,1,10,3]=>[3,10,1,8,9,6,7,4,5,2]
[2,5,4,8,6,7,1,9,10,3]=>[3,10,9,1,7,6,8,4,5,2]
[2,6,4,5,7,8,10,9,1,3]=>[3,1,9,10,8,7,5,4,6,2]
[2,6,4,5,7,9,8,1,10,3]=>[3,10,1,8,9,7,5,4,6,2]
[2,6,4,5,8,7,1,9,10,3]=>[3,10,9,1,7,8,5,4,6,2]
[2,7,4,5,6,1,8,9,10,3]=>[3,10,9,8,1,6,5,4,7,2]
[2,3,5,6,8,7,10,9,1,4]=>[4,1,9,10,7,8,6,5,3,2]
[2,3,5,6,9,7,8,1,10,4]=>[4,10,1,8,7,9,6,5,3,2]
[2,3,5,7,6,8,10,9,1,4]=>[4,1,9,10,8,6,7,5,3,2]
[2,3,5,7,6,9,8,1,10,4]=>[4,10,1,8,9,6,7,5,3,2]
[2,3,5,8,6,7,1,9,10,4]=>[4,10,9,1,7,6,8,5,3,2]
[2,3,6,5,7,8,10,9,1,4]=>[4,1,9,10,8,7,5,6,3,2]
[2,3,6,5,7,9,8,1,10,4]=>[4,10,1,8,9,7,5,6,3,2]
[2,3,6,5,8,7,1,9,10,4]=>[4,10,9,1,7,8,5,6,3,2]
[2,3,4,6,7,8,10,9,1,5]=>[5,1,9,10,8,7,6,4,3,2]
[2,3,4,6,7,9,8,1,10,5]=>[5,10,1,8,9,7,6,4,3,2]
[2,3,4,6,8,7,1,9,10,5]=>[5,10,9,1,7,8,6,4,3,2]
[5,6,7,1,10,2,3,4,8,9]=>[9,8,4,3,2,10,1,7,6,5]
[5,6,2,9,10,1,3,4,7,8]=>[8,7,4,3,1,10,9,2,6,5]
[5,6,8,1,10,2,3,4,7,9]=>[9,7,4,3,2,10,1,8,6,5]
[4,5,1,2,10,3,6,7,8,9]=>[9,8,7,6,3,10,2,1,5,4]
[5,3,8,9,10,1,2,4,6,7]=>[7,6,4,2,1,10,9,8,3,5]
[4,2,7,1,10,3,5,6,8,9]=>[9,8,6,5,3,10,1,7,2,4]
[5,7,2,9,10,1,3,4,6,8]=>[8,6,4,3,1,10,9,2,7,5]
[5,7,8,1,10,2,3,4,6,9]=>[9,6,4,3,2,10,1,8,7,5]
[4,6,1,2,10,3,5,7,8,9]=>[9,8,7,5,3,10,2,1,6,4]
[4,2,3,9,10,1,5,6,7,8]=>[8,7,6,5,1,10,9,3,2,4]
[4,2,8,1,10,3,5,6,7,9]=>[9,7,6,5,3,10,1,8,2,4]
[4,7,1,2,10,3,5,6,8,9]=>[9,8,6,5,3,10,2,1,7,4]
[3,1,2,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,2,1,3]
[3,6,7,1,10,2,4,5,8,9]=>[9,8,5,4,2,10,1,7,6,3]
[3,6,2,9,10,1,4,5,7,8]=>[8,7,5,4,1,10,9,2,6,3]
[3,6,8,1,10,2,4,5,7,9]=>[9,7,5,4,2,10,1,8,6,3]
[2,5,1,3,10,4,6,7,8,9]=>[9,8,7,6,4,10,3,1,5,2]
[6,3,8,9,10,1,2,4,5,7]=>[7,5,4,2,1,10,9,8,3,6]
[5,2,7,1,10,3,4,6,8,9]=>[9,8,6,4,3,10,1,7,2,5]
[6,7,2,9,10,1,3,4,5,8]=>[8,5,4,3,1,10,9,2,7,6]
[6,7,8,1,10,2,3,4,5,9]=>[9,5,4,3,2,10,1,8,7,6]
[5,6,1,2,10,3,4,7,8,9]=>[9,8,7,4,3,10,2,1,6,5]
[5,2,3,9,10,1,4,6,7,8]=>[8,7,6,4,1,10,9,3,2,5]
[5,2,8,1,10,3,4,6,7,9]=>[9,7,6,4,3,10,1,8,2,5]
[5,7,1,2,10,3,4,6,8,9]=>[9,8,6,4,3,10,2,1,7,5]
[2,3,7,1,10,4,5,6,8,9]=>[9,8,6,5,4,10,1,7,3,2]
[3,7,2,9,10,1,4,5,6,8]=>[8,6,5,4,1,10,9,2,7,3]
[3,7,8,1,10,2,4,5,6,9]=>[9,6,5,4,2,10,1,8,7,3]
[2,6,1,3,10,4,5,7,8,9]=>[9,8,7,5,4,10,3,1,6,2]
[6,2,3,9,10,1,4,5,7,8]=>[8,7,5,4,1,10,9,3,2,6]
[6,2,8,1,10,3,4,5,7,9]=>[9,7,5,4,3,10,1,8,2,6]
[6,7,1,2,10,3,4,5,8,9]=>[9,8,5,4,3,10,2,1,7,6]
[2,3,4,9,10,1,5,6,7,8]=>[8,7,6,5,1,10,9,4,3,2]
[2,3,8,1,10,4,5,6,7,9]=>[9,7,6,5,4,10,1,8,3,2]
[2,7,1,3,10,4,5,6,8,9]=>[9,8,6,5,4,10,3,1,7,2]
[1,2,3,4,9,5,6,7,10,8]=>[8,10,7,6,5,9,4,3,2,1]
[5,4,3,2,1,10,6,9,7,8]=>[8,7,9,6,10,1,2,3,4,5]
[6,5,4,3,2,1,9,7,8,10]=>[10,8,7,9,1,2,3,4,5,6]
[4,3,2,1,9,5,8,6,7,10]=>[10,7,6,8,5,9,1,2,3,4]
[5,4,3,2,1,8,6,7,9,10]=>[10,9,7,6,8,1,2,3,4,5]
[2,1,9,3,8,4,7,5,6,10]=>[10,6,5,7,4,8,3,9,1,2]
[3,2,1,7,4,6,10,5,8,9]=>[9,8,5,10,6,4,7,1,2,3]
[3,2,1,8,4,7,5,6,9,10]=>[10,9,6,5,7,4,8,1,2,3]
[4,3,2,1,6,9,5,7,8,10]=>[10,8,7,5,9,6,1,2,3,4]
[4,3,2,1,7,5,6,8,9,10]=>[10,9,8,6,5,7,1,2,3,4]
[2,1,5,10,3,6,9,4,7,8]=>[8,7,4,9,6,3,10,5,1,2]
[2,1,6,3,5,9,4,7,8,10]=>[10,8,7,4,9,5,3,6,1,2]
[2,1,7,3,6,4,5,8,9,10]=>[10,9,8,5,4,6,3,7,1,2]
[3,2,1,5,8,4,6,7,9,10]=>[10,9,7,6,4,8,5,1,2,3]
[3,2,1,6,4,5,7,8,9,10]=>[10,9,8,7,5,4,6,1,2,3]
[1,4,9,2,5,8,3,6,7,10]=>[10,7,6,3,8,5,2,9,4,1]
[1,5,2,4,7,10,3,6,8,9]=>[9,8,6,3,10,7,4,2,5,1]
[1,5,2,4,8,3,6,7,9,10]=>[10,9,7,6,3,8,4,2,5,1]
[2,1,4,6,9,3,5,7,8,10]=>[10,8,7,5,3,9,6,4,1,2]
[2,1,5,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,5,1,2]
[1,3,5,8,2,4,6,7,9,10]=>[10,9,7,6,4,2,8,5,3,1]
[1,3,6,2,4,5,7,8,9,10]=>[10,9,8,7,5,4,2,6,3,1]
[9,8,7,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,7,8,9]
[9,8,7,6,5,10,1,2,3,4]=>[4,3,2,1,10,5,6,7,8,9]
[9,8,7,6,5,4,10,1,2,3]=>[3,2,1,10,4,5,6,7,8,9]
[6,10,3,4,5,1,7,8,9,2]=>[2,9,8,7,1,5,4,3,10,6]
[4,2,10,1,5,6,7,8,9,3]=>[3,9,8,7,6,5,1,10,2,4]
[5,3,2,10,1,6,7,8,9,4]=>[4,9,8,7,6,1,10,2,3,5]
[6,4,3,2,10,1,7,8,9,5]=>[5,9,8,7,1,10,2,3,4,6]
[7,5,3,4,2,10,1,8,9,6]=>[6,9,8,1,10,2,4,3,5,7]
[8,6,3,4,5,2,10,1,9,7]=>[7,9,1,10,2,5,4,3,6,8]
[9,7,3,4,5,6,2,10,1,8]=>[8,1,10,2,6,5,4,3,7,9]
[4,5,1,3,6,7,8,9,10,2]=>[2,10,9,8,7,6,3,1,5,4]
[2,5,6,1,4,7,8,9,10,3]=>[3,10,9,8,7,4,1,6,5,2]
[2,3,6,7,5,1,8,9,10,4]=>[4,10,9,8,1,5,7,6,3,2]
[2,3,4,7,8,1,6,9,10,5]=>[5,10,9,6,1,8,7,4,3,2]
[2,3,4,5,8,9,1,7,10,6]=>[6,10,7,1,9,8,5,4,3,2]
[2,3,4,5,6,9,10,8,1,7]=>[7,1,8,10,9,6,5,4,3,2]
[6,9,5,4,3,2,1,8,10,7]=>[7,10,8,1,2,3,4,5,9,6]
[7,8,6,10,5,4,3,2,1,9]=>[9,1,2,3,4,5,10,6,8,7]
[6,7,10,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,10,7,6]
[7,1,2,3,4,5,6,10,9,8]=>[8,9,10,6,5,4,3,2,1,7]
[6,1,2,3,4,5,7,10,9,8]=>[8,9,10,7,5,4,3,2,1,6]
[5,1,2,3,6,4,7,9,10,8]=>[8,10,9,7,4,6,3,2,1,5]
[4,1,2,3,5,6,7,10,9,8]=>[8,9,10,7,6,5,3,2,1,4]
[3,1,2,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,2,1,3]
[6,10,1,2,3,4,9,5,7,8]=>[8,7,5,9,4,3,2,1,10,6]
[5,7,1,2,3,10,4,6,9,8]=>[8,9,6,4,10,3,2,1,7,5]
[4,1,2,6,3,5,7,9,10,8]=>[8,10,9,7,5,3,6,2,1,4]
[2,4,5,1,3,6,7,10,9,8]=>[8,9,10,7,6,3,1,5,4,2]
[1,3,2,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,2,3,1]
[1,4,2,6,3,8,5,7,10,9]=>[9,10,7,5,8,3,6,2,4,1]
[1,4,2,6,3,5,8,7,10,9]=>[9,10,7,8,5,3,6,2,4,1]
[1,4,2,6,3,9,5,10,7,8]=>[8,7,10,5,9,3,6,2,4,1]
[1,4,2,6,3,8,5,7,9,10]=>[10,9,7,5,8,3,6,2,4,1]
[1,4,2,6,3,5,8,10,7,9]=>[9,7,10,8,5,3,6,2,4,1]
[1,4,2,3,6,8,5,7,10,9]=>[9,10,7,5,8,6,3,2,4,1]
[1,2,4,6,3,5,8,7,10,9]=>[9,10,7,8,5,3,6,4,2,1]
[6,8,9,5,4,3,2,1,10,7]=>[7,10,1,2,3,4,5,9,8,6]
[5,8,7,9,4,3,2,1,10,6]=>[6,10,1,2,3,4,9,7,8,5]
[4,8,7,10,6,3,2,1,9,5]=>[5,9,1,2,3,6,10,7,8,4]
[3,8,7,6,5,9,2,1,10,4]=>[4,10,1,2,9,5,6,7,8,3]
[2,8,7,6,5,4,9,1,10,3]=>[3,10,1,9,4,5,6,7,8,2]
[1,8,7,6,5,4,10,3,9,2]=>[2,9,3,10,4,5,6,7,8,1]
[10,7,9,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,9,7,10]
[10,4,7,3,6,9,1,2,5,8]=>[8,5,2,1,9,6,3,7,4,10]
[10,5,7,2,4,9,1,3,6,8]=>[8,6,3,1,9,4,2,7,5,10]
[10,3,6,2,5,8,1,4,7,9]=>[9,7,4,1,8,5,2,6,3,10]
[10,5,7,1,3,9,2,4,6,8]=>[8,6,4,2,9,3,1,7,5,10]
[10,4,6,1,3,8,2,5,7,9]=>[9,7,5,2,8,3,1,6,4,10]
[8,7,10,2,4,6,1,3,5,9]=>[9,5,3,1,6,4,2,10,7,8]
[7,4,10,3,6,9,1,2,5,8]=>[8,5,2,1,9,6,3,10,4,7]
[7,5,10,2,4,9,1,3,6,8]=>[8,6,3,1,9,4,2,10,5,7]
[8,3,10,2,5,7,1,4,6,9]=>[9,6,4,1,7,5,2,10,3,8]
[7,5,10,1,3,9,2,4,6,8]=>[8,6,4,2,9,3,1,10,5,7]
[8,4,10,1,3,7,2,5,6,9]=>[9,6,5,2,7,3,1,10,4,8]
[5,4,8,3,7,10,1,2,6,9]=>[9,6,2,1,10,7,3,8,4,5]
[6,5,8,2,4,10,1,3,7,9]=>[9,7,3,1,10,4,2,8,5,6]
[6,3,8,2,5,10,1,4,7,9]=>[9,7,4,1,10,5,2,8,3,6]
[6,5,8,1,3,10,2,4,7,9]=>[9,7,4,2,10,3,1,8,5,6]
[6,4,8,1,3,10,2,5,7,9]=>[9,7,5,2,10,3,1,8,4,6]
[5,4,7,1,3,9,2,6,8,10]=>[10,8,6,2,9,3,1,7,4,5]
[7,2,10,4,6,9,1,3,5,8]=>[8,5,3,1,9,6,4,10,2,7]
[7,3,10,2,6,9,1,4,5,8]=>[8,5,4,1,9,6,2,10,3,7]
[8,1,10,3,5,7,2,4,6,9]=>[9,6,4,2,7,5,3,10,1,8]
[7,3,10,1,6,9,2,4,5,8]=>[8,5,4,2,9,6,1,10,3,7]
[8,2,10,1,5,7,3,4,6,9]=>[9,6,4,3,7,5,1,10,2,8]
[5,2,8,4,7,10,1,3,6,9]=>[9,6,3,1,10,7,4,8,2,5]
[5,3,8,2,7,10,1,4,6,9]=>[9,6,4,1,10,7,2,8,3,5]
[6,1,8,3,5,10,2,4,7,9]=>[9,7,4,2,10,5,3,8,1,6]
[4,1,7,3,6,9,2,5,8,10]=>[10,8,5,2,9,6,3,7,1,4]
[5,3,8,1,7,10,2,4,6,9]=>[9,6,4,2,10,7,1,8,3,5]
[6,2,8,1,5,10,3,4,7,9]=>[9,7,4,3,10,5,1,8,2,6]
[4,2,7,1,6,9,3,5,8,10]=>[10,8,5,3,9,6,1,7,2,4]
[6,1,8,2,4,10,3,5,7,9]=>[9,7,5,3,10,4,2,8,1,6]
[5,1,7,2,4,9,3,6,8,10]=>[10,8,6,3,9,4,2,7,1,5]
[7,3,10,5,6,9,1,2,4,8]=>[8,4,2,1,9,6,5,10,3,7]
[8,2,10,4,5,7,1,3,6,9]=>[9,6,3,1,7,5,4,10,2,8]
[6,3,8,5,7,10,1,2,4,9]=>[9,4,2,1,10,7,5,8,3,6]
[6,2,8,4,5,10,1,3,7,9]=>[9,7,3,1,10,5,4,8,2,6]
[5,2,7,4,6,9,1,3,8,10]=>[10,8,3,1,9,6,4,7,2,5]
[6,1,8,3,4,10,2,5,7,9]=>[9,7,5,2,10,4,3,8,1,6]
[5,1,7,3,4,9,2,6,8,10]=>[10,8,6,2,9,4,3,7,1,5]
[8,7,6,5,4,1,9,2,10,3]=>[3,10,2,9,1,4,5,6,7,8]
[8,7,6,5,4,3,10,2,9,1]=>[1,9,2,10,3,4,5,6,7,8]
[7,6,5,4,10,3,9,2,8,1]=>[1,8,2,9,3,10,4,5,6,7]
[7,6,5,4,3,9,1,8,10,2]=>[2,10,8,1,9,3,4,5,6,7]
[7,6,5,4,3,9,2,8,10,1]=>[1,10,8,2,9,3,4,5,6,7]
[6,5,4,9,3,8,1,7,10,2]=>[2,10,7,1,8,3,9,4,5,6]
[6,5,4,9,3,8,2,7,10,1]=>[1,10,7,2,8,3,9,4,5,6]
[6,5,4,3,8,10,2,7,9,1]=>[1,9,7,2,10,8,3,4,5,6]
[6,5,4,3,8,2,7,9,10,1]=>[1,10,9,7,2,8,3,4,5,6]
[5,9,4,8,3,7,1,6,10,2]=>[2,10,6,1,7,3,8,4,9,5]
[5,9,4,8,3,7,2,6,10,1]=>[1,10,6,2,7,3,8,4,9,5]
[5,4,8,1,6,9,2,7,10,3]=>[3,10,7,2,9,6,1,8,4,5]
[5,4,8,3,7,10,2,6,9,1]=>[1,9,6,2,10,7,3,8,4,5]
[5,4,8,3,7,2,6,9,10,1]=>[1,10,9,6,2,7,3,8,4,5]
[5,4,3,7,9,1,6,8,10,2]=>[2,10,8,6,1,9,7,3,4,5]
[5,4,3,7,9,2,6,8,10,1]=>[1,10,8,6,2,9,7,3,4,5]
[5,4,3,7,2,6,8,9,10,1]=>[1,10,9,8,6,2,7,3,4,5]
[4,7,3,6,9,1,5,8,10,2]=>[2,10,8,5,1,9,6,3,7,4]
[4,7,3,6,9,2,5,8,10,1]=>[1,10,8,5,2,9,6,3,7,4]
[4,7,3,6,2,5,8,9,10,1]=>[1,10,9,8,5,2,6,3,7,4]
[4,3,6,8,10,2,5,7,9,1]=>[1,9,7,5,2,10,8,6,3,4]
[4,3,6,8,2,5,7,9,10,1]=>[1,10,9,7,5,2,8,6,3,4]
[4,3,6,2,5,7,8,9,10,1]=>[1,10,9,8,7,5,2,6,3,4]
[3,5,7,9,2,4,6,8,10,1]=>[1,10,8,6,4,2,9,7,5,3]
[3,5,7,2,4,6,8,9,10,1]=>[1,10,9,8,6,4,2,7,5,3]
[3,5,2,4,6,7,8,9,10,1]=>[1,10,9,8,7,6,4,2,5,3]
[4,2,6,1,5,3,8,7,10,9]=>[9,10,7,8,3,5,1,6,2,4]
[4,2,6,1,8,3,7,5,10,9]=>[9,10,5,7,3,8,1,6,2,4]
[4,2,6,1,8,3,10,5,9,7]=>[7,9,5,10,3,8,1,6,2,4]
[6,9,5,3,1,10,8,7,4,2]=>[2,4,7,8,10,1,3,5,9,6]
[8,10,6,5,3,1,9,7,4,2]=>[2,4,7,9,1,3,5,6,10,8]
[7,10,9,6,5,3,1,8,4,2]=>[2,4,8,1,3,5,6,9,10,7]
[4,9,7,3,1,10,8,6,5,2]=>[2,5,6,8,10,1,3,7,9,4]
[4,10,8,7,3,1,9,6,5,2]=>[2,5,6,9,1,3,7,8,10,4]
[6,4,9,3,1,10,8,7,5,2]=>[2,5,7,8,10,1,3,9,4,6]
[8,6,10,4,3,1,9,7,5,2]=>[2,5,7,9,1,3,4,10,6,8]
[7,6,10,9,4,3,1,8,5,2]=>[2,5,8,1,3,4,9,10,6,7]
[9,5,10,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,10,5,9]
[5,8,10,4,3,1,9,7,6,2]=>[2,6,7,9,1,3,4,10,8,5]
[10,7,5,9,4,3,1,8,6,2]=>[2,6,8,1,3,4,9,5,7,10]
[10,6,5,9,8,4,3,1,7,2]=>[2,7,1,3,4,8,9,5,6,10]
[2,9,7,5,1,10,8,6,4,3]=>[3,4,6,8,10,1,5,7,9,2]
[2,10,8,7,5,1,9,6,4,3]=>[3,4,6,9,1,5,7,8,10,2]
[6,2,9,5,1,10,8,7,4,3]=>[3,4,7,8,10,1,5,9,2,6]
[8,2,10,6,5,1,9,7,4,3]=>[3,4,7,9,1,5,6,10,2,8]
[7,2,10,9,6,5,1,8,4,3]=>[3,4,8,1,5,6,9,10,2,7]
[4,2,9,7,1,10,8,6,5,3]=>[3,5,6,8,10,1,7,9,2,4]
[4,2,10,8,7,1,9,6,5,3]=>[3,5,6,9,1,7,8,10,2,4]
[6,4,2,9,1,10,8,7,5,3]=>[3,5,7,8,10,1,9,2,4,6]
[8,6,4,10,2,1,9,7,5,3]=>[3,5,7,9,1,2,10,4,6,8]
[7,6,4,10,9,2,1,8,5,3]=>[3,5,8,1,2,9,10,4,6,7]
[9,5,4,10,2,1,8,7,6,3]=>[3,6,7,8,1,2,10,4,5,9]
[5,8,4,10,2,1,9,7,6,3]=>[3,6,7,9,1,2,10,4,8,5]
[10,7,5,4,9,2,1,8,6,3]=>[3,6,8,1,2,9,4,5,7,10]
[10,6,5,4,9,8,2,1,7,3]=>[3,7,1,2,8,9,4,5,6,10]
[9,3,2,7,1,10,8,6,5,4]=>[4,5,6,8,10,1,7,2,3,9]
[8,3,2,10,7,1,9,6,5,4]=>[4,5,6,9,1,7,10,2,3,8]
[3,6,2,9,1,10,8,7,5,4]=>[4,5,7,8,10,1,9,2,6,3]
[3,8,6,10,2,1,9,7,5,4]=>[4,5,7,9,1,2,10,6,8,3]
[3,7,6,10,9,2,1,8,5,4]=>[4,5,8,1,2,9,10,6,7,3]
[5,9,3,10,2,1,8,7,6,4]=>[4,6,7,8,1,2,10,3,9,5]
[5,3,8,10,2,1,9,7,6,4]=>[4,6,7,9,1,2,10,8,3,5]
[7,10,5,3,9,2,1,8,6,4]=>[4,6,8,1,2,9,3,5,10,7]
[6,10,5,3,9,8,2,1,7,4]=>[4,7,1,2,8,9,3,5,10,6]
[4,9,3,10,8,2,1,7,6,5]=>[5,6,7,1,2,8,10,3,9,4]
[8,10,4,3,9,2,1,7,6,5]=>[5,6,7,1,2,9,3,4,10,8]
[10,4,7,3,9,2,1,8,6,5]=>[5,6,8,1,2,9,3,7,4,10]
[6,10,9,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,9,10,6]
[5,10,9,4,3,8,7,2,1,6]=>[6,1,2,7,8,3,4,9,10,5]
[8,9,1,10,2,3,4,5,6,7]=>[7,6,5,4,3,2,10,1,9,8]
[3,5,1,7,2,8,4,9,6,10]=>[10,6,9,4,8,2,7,1,5,3]
[3,5,1,6,2,7,4,9,8,10]=>[10,8,9,4,7,2,6,1,5,3]
[3,4,1,5,2,7,6,9,8,10]=>[10,8,9,6,7,2,5,1,4,3]
[6,7,8,9,2,1,3,4,5,10]=>[10,5,4,3,1,2,9,8,7,6]
[1,7,8,9,10,3,2,4,5,6]=>[6,5,4,2,3,10,9,8,7,1]
[6,5,4,3,10,2,9,1,8,7]=>[7,8,1,9,2,10,3,4,5,6]
[6,5,4,3,2,10,9,1,8,7]=>[7,8,1,9,10,2,3,4,5,6]
[6,5,4,3,2,10,1,9,8,7]=>[7,8,9,1,10,2,3,4,5,6]
[3,10,9,2,8,7,1,6,5,4]=>[4,5,6,1,7,8,2,9,10,3]
[3,10,2,9,8,7,1,6,5,4]=>[4,5,6,1,7,8,9,2,10,3]
[3,2,10,9,8,1,7,6,5,4]=>[4,5,6,7,1,8,9,10,2,3]
[3,2,10,9,1,8,7,6,5,4]=>[4,5,6,7,8,1,9,10,2,3]
[3,2,10,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,10,2,3]
[10,9,8,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,8,9,10]
[6,10,2,3,4,5,7,9,1,8]=>[8,1,9,7,5,4,3,2,10,6]
[8,2,10,9,1,4,5,6,7,3]=>[3,7,6,5,4,1,9,10,2,8]
[7,10,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,10,7]
[5,10,6,9,7,8,4,3,2,1]=>[1,2,3,4,8,7,9,6,10,5]
[9,6,10,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,10,6,9]
[3,10,4,9,5,8,6,7,2,1]=>[1,2,7,6,8,5,9,4,10,3]
[5,4,9,10,8,6,7,3,2,1]=>[1,2,3,7,6,8,10,9,4,5]
[5,7,10,6,8,9,4,3,2,1]=>[1,2,3,4,9,8,6,10,7,5]
[8,9,5,10,6,7,4,3,2,1]=>[1,2,3,4,7,6,10,5,9,8]
[3,2,9,10,4,8,7,5,6,1]=>[1,6,5,7,8,4,10,9,2,3]
[7,10,4,3,8,9,5,6,2,1]=>[1,2,6,5,9,8,3,4,10,7]
[8,4,3,9,10,7,5,6,2,1]=>[1,2,6,5,7,10,9,3,4,8]
[4,9,6,10,5,7,8,3,2,1]=>[1,2,3,8,7,5,10,6,9,4]
[7,8,9,4,10,5,6,3,2,1]=>[1,2,3,6,5,10,4,9,8,7]
[7,2,1,10,8,9,3,6,4,5]=>[5,4,6,3,9,8,10,1,2,7]
[3,2,1,8,9,10,7,6,4,5]=>[5,4,6,7,10,9,8,1,2,3]
[2,5,10,3,6,9,4,7,8,1]=>[1,8,7,4,9,6,3,10,5,2]
[9,3,6,2,10,7,8,4,5,1]=>[1,5,4,8,7,10,2,6,3,9]
[7,8,3,2,9,10,6,4,5,1]=>[1,5,4,6,10,9,2,3,8,7]
[3,5,7,10,4,6,8,9,2,1]=>[1,2,9,8,6,4,10,7,5,3]
[8,3,9,5,10,4,6,7,2,1]=>[1,2,7,6,4,10,5,9,3,8]
[6,7,8,9,3,10,4,5,2,1]=>[1,2,5,4,10,3,9,8,7,6]
[1,5,2,4,9,10,8,3,6,7]=>[7,6,3,8,10,9,4,2,5,1]
[5,7,10,2,6,1,8,9,3,4]=>[4,3,9,8,1,6,2,10,7,5]
[2,8,9,5,1,10,6,7,3,4]=>[4,3,7,6,10,1,5,9,8,2]
[6,7,8,2,1,9,10,5,3,4]=>[4,3,5,10,9,1,2,8,7,6]
[2,4,9,6,10,3,5,7,8,1]=>[1,8,7,5,3,10,6,9,4,2]
[7,8,2,9,4,10,3,5,6,1]=>[1,6,5,3,10,4,9,2,8,7]
[5,6,7,8,9,2,10,3,4,1]=>[1,4,3,10,2,9,8,7,6,5]
[1,8,3,9,5,10,2,4,6,7]=>[7,6,4,2,10,5,9,3,8,1]
[6,7,8,1,9,3,10,2,4,5]=>[5,4,2,10,3,9,1,8,7,6]
[6,2,1,7,8,9,10,3,4,5]=>[5,4,3,10,9,8,7,1,2,6]
[6,5,7,2,8,4,9,1,10,3]=>[3,10,1,9,4,8,2,7,5,6]
[6,7,3,8,2,5,9,1,10,4]=>[4,10,1,9,5,2,8,3,7,6]
[6,3,7,5,8,1,9,2,10,4]=>[4,10,2,9,1,8,5,7,3,6]
[7,4,3,8,6,9,2,10,1,5]=>[5,1,10,2,9,6,8,3,4,7]
[4,7,3,6,8,1,9,2,10,5]=>[5,10,2,9,1,8,6,3,7,4]
[7,2,6,8,4,9,1,10,3,5]=>[5,3,10,1,9,4,8,6,2,7]
[6,7,4,8,1,9,2,10,3,5]=>[5,3,10,2,9,1,8,4,7,6]
[4,7,8,3,9,5,1,10,2,6]=>[6,2,10,1,5,9,3,8,7,4]
[7,8,2,5,4,9,1,10,3,6]=>[6,3,10,1,9,4,5,2,8,7]
[7,4,5,1,8,2,9,3,10,6]=>[6,10,3,9,2,8,1,5,4,7]
[5,7,3,8,1,9,2,4,10,6]=>[6,10,4,2,9,1,8,3,7,5]
[7,5,1,8,2,9,3,10,4,6]=>[6,4,10,3,9,2,8,1,5,7]
[8,2,5,4,9,1,6,3,10,7]=>[7,10,3,6,1,9,4,5,2,8]
[8,4,5,1,9,2,10,6,3,7]=>[7,3,6,10,2,9,1,5,4,8]
[5,8,3,9,6,1,10,2,4,7]=>[7,4,2,10,1,6,9,3,8,5]
[8,5,1,9,2,6,3,10,4,7]=>[7,4,10,3,6,2,9,1,5,8]
[4,8,6,2,9,1,3,10,5,7]=>[7,5,10,3,1,9,2,6,8,4]
[8,4,1,6,2,9,3,10,5,7]=>[7,5,10,3,9,2,6,1,4,8]
[8,1,6,2,9,3,10,4,5,7]=>[7,5,4,10,3,9,2,6,1,8]
[9,6,3,10,1,4,2,7,5,8]=>[8,5,7,2,4,1,10,3,6,9]
[4,9,6,2,10,1,3,7,5,8]=>[8,5,7,3,1,10,2,6,9,4]
[9,4,1,6,2,10,3,7,5,8]=>[8,5,7,3,10,2,6,1,4,9]
[9,1,6,2,10,3,7,4,5,8]=>[8,5,4,7,3,10,2,6,1,9]
[9,3,1,7,5,2,10,4,6,8]=>[8,6,4,10,2,5,7,1,3,9]
[9,1,7,2,5,3,10,4,6,8]=>[8,6,4,10,3,5,2,7,1,9]
[9,1,7,2,10,3,4,5,6,8]=>[8,6,5,4,3,10,2,7,1,9]
[10,1,8,2,6,4,3,5,7,9]=>[9,7,5,3,4,6,2,8,1,10]
[10,1,8,2,6,3,4,5,7,9]=>[9,7,5,4,3,6,2,8,1,10]
[10,1,8,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,8,1,10]
[1,10,2,9,3,8,6,7,4,5]=>[5,4,7,6,8,3,9,2,10,1]
[1,10,2,9,4,8,6,7,3,5]=>[5,3,7,6,8,4,9,2,10,1]
[1,10,3,9,4,8,6,7,2,5]=>[5,2,7,6,8,4,9,3,10,1]
[2,10,3,9,4,8,6,7,1,5]=>[5,1,7,6,8,4,9,3,10,2]
[10,1,3,9,4,8,6,7,2,5]=>[5,2,7,6,8,4,9,3,1,10]
[10,1,9,2,4,8,6,7,3,5]=>[5,3,7,6,8,4,2,9,1,10]
[9,7,6,3,5,2,1,4,8,10]=>[10,8,4,1,2,5,3,6,7,9]
[9,6,8,4,3,2,1,5,7,10]=>[10,7,5,1,2,3,4,8,6,9]
[9,6,5,8,3,2,1,4,7,10]=>[10,7,4,1,2,3,8,5,6,9]
[9,3,8,7,5,2,1,4,6,10]=>[10,6,4,1,2,5,7,8,3,9]
[9,6,5,4,8,2,1,3,7,10]=>[10,7,3,1,2,8,4,5,6,9]
[9,5,4,8,7,2,1,3,6,10]=>[10,6,3,1,2,7,8,4,5,9]
[7,10,6,4,3,2,1,5,8,9]=>[9,8,5,1,2,3,4,6,10,7]
[7,10,6,3,5,2,1,4,8,9]=>[9,8,4,1,2,5,3,6,10,7]
[8,6,10,4,3,2,1,5,7,9]=>[9,7,5,1,2,3,4,10,6,8]
[8,6,5,10,3,2,1,4,7,9]=>[9,7,4,1,2,3,10,5,6,8]
[8,7,3,10,5,2,1,4,6,9]=>[9,6,4,1,2,5,10,3,7,8]
[8,6,5,4,10,2,1,3,7,9]=>[9,7,3,1,2,10,4,5,6,8]
[8,5,7,4,10,2,1,3,6,9]=>[9,6,3,1,2,10,4,7,5,8]
[6,10,4,9,3,2,1,5,7,8]=>[8,7,5,1,2,3,9,4,10,6]
[6,10,5,3,9,2,1,4,7,8]=>[8,7,4,1,2,9,3,5,10,6]
[7,5,10,3,9,2,1,4,6,8]=>[8,6,4,1,2,9,3,10,5,7]
[3,10,5,9,8,2,1,4,6,7]=>[7,6,4,1,2,8,9,5,10,3]
[6,10,5,4,2,9,1,3,7,8]=>[8,7,3,1,9,2,4,5,10,6]
[7,5,10,4,2,9,1,3,6,8]=>[8,6,3,1,9,2,4,10,5,7]
[5,10,4,2,9,8,1,3,6,7]=>[7,6,3,1,8,9,2,4,10,5]
[8,7,4,10,3,2,1,5,6,9]=>[9,6,5,1,2,3,10,4,7,8]
[8,7,5,3,10,2,1,4,6,9]=>[9,6,4,1,2,10,3,5,7,8]
[8,7,6,3,2,10,1,4,5,9]=>[9,5,4,1,10,2,3,6,7,8]
[8,7,5,4,2,10,1,3,6,9]=>[9,6,3,1,10,2,4,5,7,8]
[8,7,4,6,2,10,1,3,5,9]=>[9,5,3,1,10,2,6,4,7,8]
[7,4,10,9,3,2,1,5,6,8]=>[8,6,5,1,2,3,9,10,4,7]
[5,10,7,3,9,2,1,4,6,8]=>[8,6,4,1,2,9,3,7,10,5]
[7,6,3,10,9,2,1,4,5,8]=>[8,5,4,1,2,9,10,3,6,7]
[3,10,6,9,2,8,1,4,5,7]=>[7,5,4,1,8,2,9,6,10,3]
[5,10,7,4,2,9,1,3,6,8]=>[8,6,3,1,9,2,4,7,10,5]
[7,4,10,6,2,9,1,3,5,8]=>[8,5,3,1,9,2,6,10,4,7]
[4,10,6,2,9,8,1,3,5,7]=>[7,5,3,1,8,9,2,6,10,4]
[7,6,5,2,10,9,1,3,4,8]=>[8,4,3,1,9,10,2,5,6,7]
[6,5,2,10,9,8,1,3,4,7]=>[7,4,3,1,8,9,10,2,5,6]
[8,7,5,4,3,1,10,2,6,9]=>[9,6,2,10,1,3,4,5,7,8]
[8,7,4,6,3,1,10,2,5,9]=>[9,5,2,10,1,3,6,4,7,8]
[5,10,7,4,3,1,9,2,6,8]=>[8,6,2,9,1,3,4,7,10,5]
[7,4,10,6,3,1,9,2,5,8]=>[8,5,2,9,1,3,6,10,4,7]
[4,10,3,9,6,1,8,2,5,7]=>[7,5,2,8,1,6,9,3,10,4]
[2,7,3,8,9,10,1,4,5,6]=>[6,5,4,1,10,9,8,3,7,2]
[2,7,1,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,1,7,2]
[1,10,3,8,4,7,2,9,5,6]=>[6,5,9,2,7,4,8,3,10,1]
[1,10,4,7,5,6,3,8,2,9]=>[9,2,8,3,6,5,7,4,10,1]
[1,10,5,7,6,3,8,2,9,4]=>[4,9,2,8,3,6,7,5,10,1]
[1,10,5,2,9,3,8,4,7,6]=>[6,7,4,8,3,9,2,5,10,1]
[1,10,5,4,7,2,9,3,8,6]=>[6,8,3,9,2,7,4,5,10,1]
[1,10,6,3,9,2,5,8,4,7]=>[7,4,8,5,2,9,3,6,10,1]
[1,10,6,4,8,2,9,3,5,7]=>[7,5,3,9,2,8,4,6,10,1]
[1,10,6,7,2,9,3,5,4,8]=>[8,4,5,3,9,2,7,6,10,1]
[1,10,6,7,2,9,4,3,8,5]=>[5,8,3,4,9,2,7,6,10,1]
[1,10,6,2,9,4,5,7,3,8]=>[8,3,7,5,4,9,2,6,10,1]
[1,6,4,9,3,5,2,10,7,8]=>[8,7,10,2,5,3,9,4,6,1]
[1,6,8,2,10,7,3,5,4,9]=>[9,4,5,3,7,10,2,8,6,1]
[1,10,7,8,2,3,6,5,4,9]=>[9,4,5,6,3,2,8,7,10,1]
[1,10,7,2,6,8,3,9,4,5]=>[5,4,9,3,8,6,2,7,10,1]
[1,10,7,2,6,3,9,4,5,8]=>[8,5,4,9,3,6,2,7,10,1]
[1,10,7,2,9,5,6,8,3,4]=>[4,3,8,6,5,9,2,7,10,1]
[1,10,7,2,9,5,8,3,4,6]=>[6,4,3,8,5,9,2,7,10,1]
[1,10,7,3,6,2,9,5,4,8]=>[8,4,5,9,2,6,3,7,10,1]
[1,4,3,10,8,2,7,5,6,9]=>[9,6,5,7,2,8,10,3,4,1]
[1,7,2,10,8,3,4,5,6,9]=>[9,6,5,4,3,8,10,2,7,1]
[1,7,2,10,8,3,4,6,5,9]=>[9,5,6,4,3,8,10,2,7,1]
[1,7,3,6,2,10,8,4,9,5]=>[5,9,4,8,10,2,6,3,7,1]
[1,10,8,4,7,2,3,5,9,6]=>[6,9,5,3,2,7,4,8,10,1]
[1,10,8,4,9,6,2,5,3,7]=>[7,3,5,2,6,9,4,8,10,1]
[1,10,8,5,2,7,4,3,9,6]=>[6,9,3,4,7,2,5,8,10,1]
[1,4,10,9,7,3,8,5,2,6]=>[6,2,5,8,3,7,9,10,4,1]
[1,6,3,10,9,7,4,2,8,5]=>[5,8,2,4,7,9,10,3,6,1]
[7,5,9,4,6,3,10,2,8,1]=>[1,8,2,10,3,6,4,9,5,7]
[10,6,9,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,9,6,10]
[10,6,9,4,7,3,5,1,2,8]=>[8,2,1,5,3,7,4,9,6,10]
[10,6,9,4,7,2,5,3,1,8]=>[8,1,3,5,2,7,4,9,6,10]
[10,6,9,4,7,5,2,3,1,8]=>[8,1,3,2,5,7,4,9,6,10]
[10,6,9,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,9,6,10]
[10,9,6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6,9,10]
[10,9,8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8,9,10]
[10,9,8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8,9,10]
[10,9,8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8,9,10]
[10,9,8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8,9,10]
[10,9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9,10]
[2,4,5,6,7,8,9,3,1,10]=>[10,1,3,9,8,7,6,5,4,2]
[5,3,8,2,1,6,4,9,7,10]=>[10,7,9,4,6,1,2,8,3,5]
[4,3,2,1,8,5,6,9,7,10]=>[10,7,9,6,5,8,1,2,3,4]
[4,7,3,2,1,5,8,6,9,10]=>[10,9,6,8,5,1,2,3,7,4]
[9,2,7,4,6,5,8,3,10,1]=>[1,10,3,8,5,6,4,7,2,9]
[7,5,6,3,4,8,2,9,1,10]=>[10,1,9,2,8,4,3,6,5,7]
[8,6,7,4,2,3,5,9,1,10]=>[10,1,9,5,3,2,4,7,6,8]
[7,5,6,8,4,2,3,9,1,10]=>[10,1,9,3,2,4,8,6,5,7]
[8,6,7,4,5,2,3,9,1,10]=>[10,1,9,3,2,5,4,7,6,8]
[9,7,8,4,2,3,5,1,6,10]=>[10,6,1,5,3,2,4,8,7,9]
[9,7,8,5,3,4,1,2,6,10]=>[10,6,2,1,4,3,5,8,7,9]
[8,6,7,9,5,3,1,2,4,10]=>[10,4,2,1,3,5,9,7,6,8]
[7,5,6,8,4,9,3,1,2,10]=>[10,2,1,3,9,4,8,6,5,7]
[8,6,7,4,5,9,3,1,2,10]=>[10,2,1,3,9,5,4,7,6,8]
[9,7,8,5,3,4,6,1,2,10]=>[10,2,1,6,4,3,5,8,7,9]
[8,6,7,9,5,3,4,1,2,10]=>[10,2,1,4,3,5,9,7,6,8]
[9,10,5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5,10,9]
[9,10,6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6,10,9]
[9,10,7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7,10,9]
[9,10,6,4,5,7,3,1,2,8]=>[8,2,1,3,7,5,4,6,10,9]
[8,9,5,3,4,6,2,7,10,1]=>[1,10,7,2,6,4,3,5,9,8]
[8,9,6,4,5,2,3,7,10,1]=>[1,10,7,3,2,5,4,6,9,8]
[9,10,6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6,10,9]
[9,10,7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7,10,9]
[7,8,5,3,4,6,9,2,10,1]=>[1,10,2,9,6,4,3,5,8,7]
[8,9,6,4,5,7,2,3,10,1]=>[1,10,3,2,7,5,4,6,9,8]
[8,9,6,4,5,7,10,3,1,2]=>[2,1,3,10,7,5,4,6,9,8]
[6,7,4,5,8,3,9,2,10,1]=>[1,10,2,9,3,8,5,4,7,6]
[7,8,5,6,3,4,9,2,10,1]=>[1,10,2,9,4,3,6,5,8,7]
[9,7,8,4,2,3,5,6,10,1]=>[1,10,6,5,3,2,4,8,7,9]
[7,8,5,6,9,4,2,3,10,1]=>[1,10,3,2,4,9,6,5,8,7]
[10,8,9,4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4,9,8,10]
[10,8,9,5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5,9,8,10]
[9,7,8,10,6,3,1,2,4,5]=>[5,4,2,1,3,6,10,8,7,9]
[10,8,9,6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6,9,8,10]
[7,8,5,6,9,4,10,3,1,2]=>[2,1,3,10,4,9,6,5,8,7]
[8,9,6,7,4,5,10,3,1,2]=>[2,1,3,10,5,4,7,6,9,8]
[10,8,9,5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5,9,8,10]
[8,9,6,7,10,5,3,4,1,2]=>[2,1,4,3,5,10,7,6,9,8]
[1,6,7,5,8,2,9,4,10,3]=>[3,10,4,9,2,8,5,7,6,1]
[1,6,7,2,8,5,9,4,10,3]=>[3,10,4,9,5,8,2,7,6,1]
[7,2,1,6,8,5,9,4,10,3]=>[3,10,4,9,5,8,6,1,2,7]
[1,7,6,8,2,5,9,4,10,3]=>[3,10,4,9,5,2,8,6,7,1]
[1,7,6,8,5,9,2,4,10,3]=>[3,10,4,2,9,5,8,6,7,1]
[6,7,5,8,2,9,3,1,10,4]=>[4,10,1,3,9,2,8,5,7,6]
[6,7,1,8,2,9,5,10,4,3]=>[3,4,10,5,9,2,8,1,7,6]
[7,1,8,2,6,9,4,10,5,3]=>[3,5,10,4,9,6,2,8,1,7]
[7,8,2,9,1,5,10,4,6,3]=>[3,6,4,10,5,1,9,2,8,7]
[8,6,9,1,5,10,2,4,7,3]=>[3,7,4,2,10,5,1,9,6,8]
[7,6,9,5,10,1,4,8,2,3]=>[3,2,8,4,1,10,5,9,6,7]
[2,7,6,8,5,10,4,9,1,3]=>[3,1,9,4,10,5,8,6,7,2]
[2,3,4,5,6,10,7,9,1,8]=>[8,1,9,7,10,6,5,4,3,2]
[2,3,4,5,10,6,8,9,1,7]=>[7,1,9,8,6,10,5,4,3,2]
[2,3,4,10,5,7,8,9,6,1]=>[1,6,9,8,7,5,10,4,3,2]
[2,3,10,4,6,7,8,9,1,5]=>[5,1,9,8,7,6,4,10,3,2]
[2,10,3,5,6,7,8,9,1,4]=>[4,1,9,8,7,6,5,3,10,2]
[10,2,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,2,10]
[1,2,10,3,9,4,5,8,6,7]=>[7,6,8,5,4,9,3,10,2,1]
[1,4,8,2,10,3,9,5,7,6]=>[6,7,5,9,3,10,2,8,4,1]
[1,5,7,2,10,3,9,4,8,6]=>[6,8,4,9,3,10,2,7,5,1]
[1,6,2,10,3,9,4,8,5,7]=>[7,5,8,4,9,3,10,2,6,1]
[1,7,6,8,5,2,10,3,9,4]=>[4,9,3,10,2,5,8,6,7,1]
[1,8,5,9,4,2,10,3,6,7]=>[7,6,3,10,2,4,9,5,8,1]
[1,9,4,10,3,2,5,8,6,7]=>[7,6,8,5,2,3,10,4,9,1]
[1,4,5,6,7,8,9,2,10,3]=>[3,10,2,9,8,7,6,5,4,1]
[1,5,6,2,7,8,3,9,10,4]=>[4,10,9,3,8,7,2,6,5,1]
[4,5,1,6,2,7,3,8,9,10]=>[10,9,8,3,7,2,6,1,5,4]
[4,5,1,6,2,7,8,9,3,10]=>[10,3,9,8,7,2,6,1,5,4]
[4,5,1,6,2,7,8,3,9,10]=>[10,9,3,8,7,2,6,1,5,4]
[3,4,1,5,2,6,7,8,9,10]=>[10,9,8,7,6,2,5,1,4,3]
[4,5,1,6,7,8,2,9,3,10]=>[10,3,9,2,8,7,6,1,5,4]
[4,5,1,6,7,8,2,3,9,10]=>[10,9,3,2,8,7,6,1,5,4]
[4,5,1,6,7,2,8,9,3,10]=>[10,3,9,8,2,7,6,1,5,4]
[4,5,1,6,7,2,8,3,9,10]=>[10,9,3,8,2,7,6,1,5,4]
[3,4,1,5,6,2,7,8,9,10]=>[10,9,8,7,2,6,5,1,4,3]
[3,4,1,5,6,7,8,2,9,10]=>[10,9,2,8,7,6,5,1,4,3]
[3,4,1,5,6,7,2,8,9,10]=>[10,9,8,2,7,6,5,1,4,3]
[4,5,6,7,1,8,2,3,9,10]=>[10,9,3,2,8,1,7,6,5,4]
[4,5,6,7,1,2,8,9,3,10]=>[10,3,9,8,2,1,7,6,5,4]
[4,5,6,7,1,2,8,3,9,10]=>[10,9,3,8,2,1,7,6,5,4]
[4,5,6,1,7,8,2,9,3,10]=>[10,3,9,2,8,7,1,6,5,4]
[4,5,6,1,7,8,2,3,9,10]=>[10,9,3,2,8,7,1,6,5,4]
[4,5,6,1,7,2,8,9,3,10]=>[10,3,9,8,2,7,1,6,5,4]
[4,5,6,1,7,2,8,3,9,10]=>[10,9,3,8,2,7,1,6,5,4]
[3,4,5,1,6,7,8,9,2,10]=>[10,2,9,8,7,6,1,5,4,3]
[3,4,5,1,6,7,8,2,9,10]=>[10,9,2,8,7,6,1,5,4,3]
[3,4,5,1,6,7,2,8,9,10]=>[10,9,8,2,7,6,1,5,4,3]
[3,4,5,6,7,1,8,9,2,10]=>[10,2,9,8,1,7,6,5,4,3]
[3,4,5,6,7,1,8,2,9,10]=>[10,9,2,8,1,7,6,5,4,3]
[3,4,5,6,1,7,8,9,2,10]=>[10,2,9,8,7,1,6,5,4,3]
[3,4,5,6,1,7,8,2,9,10]=>[10,9,2,8,7,1,6,5,4,3]
[3,4,5,6,1,7,2,8,9,10]=>[10,9,8,2,7,1,6,5,4,3]
[6,5,7,4,9,3,10,2,8,1]=>[1,8,2,10,3,9,4,7,5,6]
[6,5,8,4,9,3,10,2,7,1]=>[1,7,2,10,3,9,4,8,5,6]
[7,5,8,4,9,3,10,2,6,1]=>[1,6,2,10,3,9,4,8,5,7]
[6,7,4,8,3,9,2,10,5,1]=>[1,5,10,2,9,3,8,4,7,6]
[6,7,5,8,3,9,2,10,4,1]=>[1,4,10,2,9,3,8,5,7,6]
[6,7,5,8,4,9,2,10,3,1]=>[1,3,10,2,9,4,8,5,7,6]
[3,1,4,10,6,2,8,5,9,7]=>[7,9,5,8,2,6,10,4,1,3]
[2,10,5,3,6,1,8,4,9,7]=>[7,9,4,8,1,6,3,5,10,2]
[3,5,6,2,1,10,8,4,9,7]=>[7,9,4,8,10,1,2,6,5,3]
[4,1,2,5,6,10,8,3,9,7]=>[7,9,3,8,10,6,5,2,1,4]
[2,10,4,1,7,5,8,3,9,6]=>[6,9,3,8,5,7,1,4,10,2]
[3,1,4,10,7,5,8,2,9,6]=>[6,9,2,8,5,7,10,4,1,3]
[2,10,5,7,8,4,3,1,9,6]=>[6,9,1,3,4,8,7,5,10,2]
[3,5,8,7,1,4,2,10,9,6]=>[6,9,10,2,4,1,7,8,5,3]
[4,1,7,5,8,3,2,10,9,6]=>[6,9,10,2,3,8,5,7,1,4]
[2,10,6,3,4,7,8,1,9,5]=>[5,9,1,8,7,4,3,6,10,2]
[3,6,8,2,4,7,1,10,9,5]=>[5,9,10,1,7,4,2,8,6,3]
[4,6,2,7,3,1,8,10,9,5]=>[5,9,10,8,1,3,7,2,6,4]
[5,1,2,3,6,7,8,10,9,4]=>[4,9,10,8,7,6,3,2,1,5]
[2,10,4,1,6,3,8,7,9,5]=>[5,9,7,8,3,6,1,4,10,2]
[3,1,4,10,6,2,8,7,9,5]=>[5,9,7,8,2,6,10,4,1,3]
[2,10,5,3,6,1,8,7,9,4]=>[4,9,7,8,1,6,3,5,10,2]
[3,5,6,2,1,10,8,7,9,4]=>[4,9,7,8,10,1,2,6,5,3]
[4,1,2,5,6,10,8,7,9,3]=>[3,9,7,8,10,6,5,2,1,4]
[2,10,4,1,7,8,9,6,5,3]=>[3,5,6,9,8,7,1,4,10,2]
[3,1,4,10,7,8,9,6,5,2]=>[2,5,6,9,8,7,10,4,1,3]
[2,10,5,7,9,8,3,6,4,1]=>[1,4,6,3,8,9,7,5,10,2]
[4,1,7,5,9,8,2,6,3,10]=>[10,3,6,2,8,9,5,7,1,4]
[2,10,6,3,8,7,9,5,4,1]=>[1,4,5,9,7,8,3,6,10,2]
[3,6,9,2,8,7,1,5,4,10]=>[10,4,5,1,7,8,2,9,6,3]
[4,6,2,7,8,1,9,5,3,10]=>[10,3,5,9,1,8,7,2,6,4]
[5,1,2,8,6,7,9,4,3,10]=>[10,3,4,9,7,6,8,2,1,5]
[2,10,4,1,7,5,6,8,9,3]=>[3,9,8,6,5,7,1,4,10,2]
[3,1,4,10,7,5,6,8,9,2]=>[2,9,8,6,5,7,10,4,1,3]
[2,10,5,7,9,4,6,8,3,1]=>[1,3,8,6,4,9,7,5,10,2]
[3,5,9,7,1,4,6,8,2,10]=>[10,2,8,6,4,1,7,9,5,3]
[4,1,7,5,9,3,6,8,2,10]=>[10,2,8,6,3,9,5,7,1,4]
[2,10,6,7,4,8,5,3,9,1]=>[1,9,3,5,8,4,7,6,10,2]
[3,6,9,7,4,8,5,2,1,10]=>[10,1,2,5,8,4,7,9,6,3]
[5,1,7,3,6,8,4,2,9,10]=>[10,9,2,4,8,6,3,7,1,5]
[2,10,6,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,6,10,2]
[3,6,9,2,4,5,7,8,1,10]=>[10,1,8,7,5,4,2,9,6,3]
[4,6,2,8,3,5,7,1,9,10]=>[10,9,1,7,5,3,8,2,6,4]
[2,1,9,8,7,6,5,4,10,3]=>[3,10,4,5,6,7,8,9,1,2]
[1,6,5,10,4,9,3,8,2,7]=>[7,2,8,3,9,4,10,5,6,1]
[1,5,8,4,7,10,3,6,9,2]=>[2,9,6,3,10,7,4,8,5,1]
[1,5,8,4,10,7,3,9,6,2]=>[2,6,9,3,7,10,4,8,5,1]
[1,4,6,8,10,3,5,7,9,2]=>[2,9,7,5,3,10,8,6,4,1]
[1,4,7,9,3,6,8,10,2,5]=>[5,2,10,8,6,3,9,7,4,1]
[1,4,7,9,6,3,8,10,5,2]=>[2,5,10,8,3,6,9,7,4,1]
[1,4,7,9,6,3,10,8,5,2]=>[2,5,8,10,3,6,9,7,4,1]
[1,5,9,3,7,10,4,8,2,6]=>[6,2,8,4,10,7,3,9,5,1]
[1,7,5,9,3,6,10,4,8,2]=>[2,8,4,10,6,3,9,5,7,1]
[1,5,7,9,3,10,4,6,8,2]=>[2,8,6,4,10,3,9,7,5,1]
[1,5,9,7,3,8,4,10,6,2]=>[2,6,10,4,8,3,7,9,5,1]
[1,5,9,7,3,4,8,10,6,2]=>[2,6,10,8,4,3,7,9,5,1]
[1,6,3,8,4,9,5,10,2,7]=>[7,2,10,5,9,4,8,3,6,1]
[1,6,8,3,9,4,10,5,7,2]=>[2,7,5,10,4,9,3,8,6,1]
[1,3,5,7,8,9,10,2,4,6]=>[6,4,2,10,9,8,7,5,3,1]
[1,7,9,3,4,5,6,8,10,2]=>[2,10,8,6,5,4,3,9,7,1]
[1,7,9,3,4,5,6,10,8,2]=>[2,8,10,6,5,4,3,9,7,1]
[1,5,3,7,9,10,4,8,2,6]=>[6,2,8,4,10,9,7,3,5,1]
[1,5,7,3,9,10,8,4,6,2]=>[2,6,4,8,10,9,3,7,5,1]
[1,5,7,3,9,10,4,8,6,2]=>[2,6,8,4,10,9,3,7,5,1]
[1,5,3,9,8,7,6,4,10,2]=>[2,10,4,6,7,8,9,3,5,1]
[1,3,5,9,8,7,6,10,2,4]=>[4,2,10,6,7,8,9,5,3,1]
[1,9,3,7,6,5,4,8,10,2]=>[2,10,8,4,5,6,7,3,9,1]
[1,5,3,7,10,9,8,4,6,2]=>[2,6,4,8,9,10,7,3,5,1]
[1,5,3,7,9,8,10,6,4,2]=>[2,4,6,10,8,9,7,3,5,1]
[1,5,3,7,9,8,10,4,6,2]=>[2,6,4,10,8,9,7,3,5,1]
[1,5,3,7,9,10,8,4,6,2]=>[2,6,4,8,10,9,7,3,5,1]
[1,3,5,7,9,10,6,8,2,4]=>[4,2,8,6,10,9,7,5,3,1]
[1,3,5,7,9,10,6,8,4,2]=>[2,4,8,6,10,9,7,5,3,1]
[3,10,9,4,2,8,7,5,1,6]=>[6,1,5,7,8,2,4,9,10,3]
[3,10,9,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,9,10,3]
[3,2,10,9,4,8,7,5,1,6]=>[6,1,5,7,8,4,9,10,2,3]
[3,2,10,9,4,1,8,7,5,6]=>[6,5,7,8,1,4,9,10,2,3]
[3,2,1,10,9,4,8,7,5,6]=>[6,5,7,8,4,9,10,1,2,3]
[10,3,9,4,2,8,7,5,1,6]=>[6,1,5,7,8,2,4,9,3,10]
[10,3,9,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,9,3,10]
[10,3,2,9,4,8,7,5,1,6]=>[6,1,5,7,8,4,9,2,3,10]
[10,3,2,9,4,1,8,7,5,6]=>[6,5,7,8,1,4,9,2,3,10]
[10,3,2,1,9,4,8,7,5,6]=>[6,5,7,8,4,9,1,2,3,10]
[2,10,3,9,4,8,7,5,1,6]=>[6,1,5,7,8,4,9,3,10,2]
[2,10,3,9,4,1,8,7,5,6]=>[6,5,7,8,1,4,9,3,10,2]
[2,10,3,1,9,4,8,7,5,6]=>[6,5,7,8,4,9,1,3,10,2]
[2,1,10,3,9,4,8,7,5,6]=>[6,5,7,8,4,9,3,10,1,2]
[3,10,9,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,9,10,3]
[3,10,9,8,4,2,1,7,5,6]=>[6,5,7,1,2,4,8,9,10,3]
[3,2,10,9,8,4,7,5,1,6]=>[6,1,5,7,4,8,9,10,2,3]
[3,2,10,9,8,4,1,7,5,6]=>[6,5,7,1,4,8,9,10,2,3]
[3,2,1,10,9,8,4,7,5,6]=>[6,5,7,4,8,9,10,1,2,3]
[10,3,9,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,9,3,10]
[10,3,9,8,4,2,1,7,5,6]=>[6,5,7,1,2,4,8,9,3,10]
[10,3,2,9,8,4,7,5,1,6]=>[6,1,5,7,4,8,9,2,3,10]
[10,3,2,9,8,4,1,7,5,6]=>[6,5,7,1,4,8,9,2,3,10]
[10,3,2,1,9,8,4,7,5,6]=>[6,5,7,4,8,9,1,2,3,10]
[2,10,3,9,8,4,7,5,1,6]=>[6,1,5,7,4,8,9,3,10,2]
[2,10,3,9,8,4,1,7,5,6]=>[6,5,7,1,4,8,9,3,10,2]
[2,10,3,1,9,8,4,7,5,6]=>[6,5,7,4,8,9,1,3,10,2]
[2,1,10,3,9,8,4,7,5,6]=>[6,5,7,4,8,9,3,10,1,2]
[10,9,3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3,9,10]
[10,9,3,8,4,2,1,7,5,6]=>[6,5,7,1,2,4,8,3,9,10]
[10,9,3,2,8,4,7,5,1,6]=>[6,1,5,7,4,8,2,3,9,10]
[10,9,3,2,8,4,1,7,5,6]=>[6,5,7,1,4,8,2,3,9,10]
[10,9,3,2,1,8,4,7,5,6]=>[6,5,7,4,8,1,2,3,9,10]
[2,10,9,3,8,4,7,5,1,6]=>[6,1,5,7,4,8,3,9,10,2]
[2,10,9,3,8,4,1,7,5,6]=>[6,5,7,1,4,8,3,9,10,2]
[2,10,9,3,1,8,4,7,5,6]=>[6,5,7,4,8,1,3,9,10,2]
[2,1,10,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,10,1,2]
[10,2,9,3,8,4,7,5,1,6]=>[6,1,5,7,4,8,3,9,2,10]
[10,2,9,3,8,4,1,7,5,6]=>[6,5,7,1,4,8,3,9,2,10]
[10,2,9,3,1,8,4,7,5,6]=>[6,5,7,4,8,1,3,9,2,10]
[4,5,2,1,6,7,8,9,10,3]=>[3,10,9,8,7,6,1,2,5,4]
[5,6,7,3,2,1,8,9,10,4]=>[4,10,9,8,1,2,3,7,6,5]
[5,1,6,3,2,7,8,9,10,4]=>[4,10,9,8,7,2,3,6,1,5]
[6,7,8,9,4,3,2,1,10,5]=>[5,10,1,2,3,4,9,8,7,6]
[6,1,7,8,4,3,2,9,10,5]=>[5,10,9,2,3,4,8,7,1,6]
[6,7,2,1,4,3,8,9,10,5]=>[5,10,9,8,3,4,1,2,7,6]
[6,1,2,7,4,3,8,9,10,5]=>[5,10,9,8,3,4,7,2,1,6]
[7,1,8,9,10,5,4,3,2,6]=>[6,2,3,4,5,10,9,8,1,7]
[7,8,2,1,9,5,4,3,10,6]=>[6,10,3,4,5,9,1,2,8,7]
[7,1,2,8,9,5,4,3,10,6]=>[6,10,3,4,5,9,8,2,1,7]
[7,1,8,3,2,5,4,9,10,6]=>[6,10,9,4,5,2,3,8,1,7]
[7,1,2,3,8,5,4,9,10,6]=>[6,10,9,4,5,8,3,2,1,7]
[8,9,2,1,10,6,5,4,3,7]=>[7,3,4,5,6,10,1,2,9,8]
[8,1,2,9,10,6,5,4,3,7]=>[7,3,4,5,6,10,9,2,1,8]
[8,9,10,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,10,9,8]
[8,1,9,3,2,10,6,5,4,7]=>[7,4,5,6,10,2,3,9,1,8]
[8,1,2,3,9,10,6,5,4,7]=>[7,4,5,6,10,9,3,2,1,8]
[8,9,2,1,4,3,6,5,10,7]=>[7,10,5,6,3,4,1,2,9,8]
[8,1,2,9,4,3,6,5,10,7]=>[7,10,5,6,3,4,9,2,1,8]
[8,1,2,3,4,9,6,5,10,7]=>[7,10,5,6,9,4,3,2,1,8]
[9,1,10,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,10,1,9]
[9,10,2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2,10,9]
[9,1,2,10,4,3,7,6,5,8]=>[8,5,6,7,3,4,10,2,1,9]
[9,1,2,3,4,10,7,6,5,8]=>[8,5,6,7,10,4,3,2,1,9]
[9,1,2,3,10,5,4,7,6,8]=>[8,6,7,4,5,10,3,2,1,9]
[3,6,4,2,8,5,10,7,9,1]=>[1,9,7,10,5,8,2,4,6,3]
[6,4,5,1,8,3,10,7,9,2]=>[2,9,7,10,3,8,1,5,4,6]
[6,4,8,1,7,3,10,5,9,2]=>[2,9,5,10,3,7,1,8,4,6]
[6,4,8,1,9,3,10,5,7,2]=>[2,7,5,10,3,9,1,8,4,6]
[6,4,7,1,9,3,5,10,8,2]=>[2,8,10,5,3,9,1,7,4,6]
[5,4,7,1,3,9,6,10,8,2]=>[2,8,10,6,9,3,1,7,4,5]
[5,3,1,7,4,9,6,10,8,2]=>[2,8,10,6,9,4,7,1,3,5]
[5,8,6,9,10,7,4,3,2,1]=>[1,2,3,4,7,10,9,6,8,5]
[1,2,3,7,4,8,5,9,6,10]=>[10,6,9,5,8,4,7,3,2,1]
[10,7,2,1,3,4,6,5,9,8]=>[8,9,5,6,4,3,1,2,7,10]
[10,8,7,4,5,6,3,2,9,1]=>[1,9,2,3,6,5,4,7,8,10]
[2,6,5,8,7,1,10,9,4,3]=>[3,4,9,10,1,7,8,5,6,2]
[1,2,3,4,5,9,6,8,10,7]=>[7,10,8,6,9,5,4,3,2,1]
[1,2,3,8,4,9,5,7,10,6]=>[6,10,7,5,9,4,8,3,2,1]
[1,2,3,4,7,9,5,8,10,6]=>[6,10,8,5,9,7,4,3,2,1]
[1,2,3,4,9,5,7,8,10,6]=>[6,10,8,7,5,9,4,3,2,1]
[1,7,2,8,3,9,4,6,10,5]=>[5,10,6,4,9,3,8,2,7,1]
[1,2,8,3,6,9,4,7,10,5]=>[5,10,7,4,9,6,3,8,2,1]
[1,2,8,3,9,4,6,7,10,5]=>[5,10,7,6,4,9,3,8,2,1]
[1,2,3,7,9,4,6,8,10,5]=>[5,10,8,6,4,9,7,3,2,1]
[1,2,3,9,4,6,7,8,10,5]=>[5,10,8,7,6,4,9,3,2,1]
[7,1,8,2,5,9,3,6,10,4]=>[4,10,6,3,9,5,2,8,1,7]
[7,1,8,2,9,3,5,6,10,4]=>[4,10,6,5,3,9,2,8,1,7]
[1,5,8,2,6,9,3,7,10,4]=>[4,10,7,3,9,6,2,8,5,1]
[1,8,2,6,9,3,5,7,10,4]=>[4,10,7,5,3,9,6,2,8,1]
[1,8,2,9,3,5,6,7,10,4]=>[4,10,7,6,5,3,9,2,8,1]
[1,2,5,7,9,3,6,8,10,4]=>[4,10,8,6,3,9,7,5,2,1]
[1,2,7,9,3,5,6,8,10,4]=>[4,10,8,6,5,3,9,7,2,1]
[1,2,9,3,5,6,7,8,10,4]=>[4,10,8,7,6,5,3,9,2,1]
[5,8,1,6,9,2,4,7,10,3]=>[3,10,7,4,2,9,6,1,8,5]
[8,1,4,6,9,2,5,7,10,3]=>[3,10,7,5,2,9,6,4,1,8]
[8,1,6,9,2,4,5,7,10,3]=>[3,10,7,5,4,2,9,6,1,8]
[8,1,9,2,4,5,6,7,10,3]=>[3,10,7,6,5,4,2,9,1,8]
[1,5,7,9,2,4,6,8,10,3]=>[3,10,8,6,4,2,9,7,5,1]
[1,7,9,2,4,5,6,8,10,3]=>[3,10,8,6,5,4,2,9,7,1]
[1,9,2,4,5,6,7,8,10,3]=>[3,10,8,7,6,5,4,2,9,1]
[5,7,9,1,3,4,6,8,10,2]=>[2,10,8,6,4,3,1,9,7,5]
[7,9,1,3,4,5,6,8,10,2]=>[2,10,8,6,5,4,3,1,9,7]
[9,1,3,4,5,6,7,8,10,2]=>[2,10,8,7,6,5,4,3,1,9]
[1,4,5,2,6,7,8,9,10,3]=>[3,10,9,8,7,6,2,5,4,1]
[1,4,5,6,2,7,8,9,10,3]=>[3,10,9,8,7,2,6,5,4,1]
[4,2,5,6,7,1,8,9,10,3]=>[3,10,9,8,1,7,6,5,2,4]
[1,4,5,6,7,8,2,9,10,3]=>[3,10,9,2,8,7,6,5,4,1]
[5,1,6,4,2,7,8,9,10,3]=>[3,10,9,8,7,2,4,6,1,5]
[4,1,6,7,5,2,8,9,10,3]=>[3,10,9,8,2,5,7,6,1,4]
[2,4,5,7,8,6,1,9,10,3]=>[3,10,9,1,6,8,7,5,4,2]
[4,1,5,6,8,9,7,2,10,3]=>[3,10,2,7,9,8,6,5,1,4]
[4,1,5,6,7,9,10,8,2,3]=>[3,2,8,10,9,7,6,5,1,4]
[2,4,5,6,7,8,10,9,1,3]=>[3,1,9,10,8,7,6,5,4,2]
[10,8,7,6,4,9,2,5,1,3]=>[3,1,5,2,9,4,6,7,8,10]
[10,9,7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7,9,10]
[10,8,6,5,4,9,2,7,1,3]=>[3,1,7,2,9,4,5,6,8,10]
[10,9,6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6,9,10]
[10,8,7,5,4,9,2,6,1,3]=>[3,1,6,2,9,4,5,7,8,10]
[10,9,7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7,9,10]
[10,9,8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8,9,10]
[10,8,7,6,5,4,2,9,1,3]=>[3,1,9,2,4,5,6,7,8,10]
[10,9,7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7,9,10]
[10,9,8,6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6,8,9,10]
[10,9,6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6,9,10]
[10,8,7,4,3,9,2,6,1,5]=>[5,1,6,2,9,3,4,7,8,10]
[10,9,7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7,9,10]
[10,9,8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8,9,10]
[10,8,6,5,3,9,2,7,1,4]=>[4,1,7,2,9,3,5,6,8,10]
[10,9,6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6,9,10]
[10,8,7,5,3,9,2,6,1,4]=>[4,1,6,2,9,3,5,7,8,10]
[10,9,7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7,9,10]
[10,9,8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8,9,10]
[10,8,7,6,5,3,2,9,1,4]=>[4,1,9,2,3,5,6,7,8,10]
[10,9,7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7,9,10]
[10,9,8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8,9,10]
[10,9,6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6,9,10]
[10,8,7,5,4,3,2,9,1,6]=>[6,1,9,2,3,4,5,7,8,10]
[10,9,7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7,9,10]
[10,9,8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8,9,10]
[10,8,7,6,4,3,2,9,1,5]=>[5,1,9,2,3,4,6,7,8,10]
[10,9,7,6,4,3,2,8,1,5]=>[5,1,8,2,3,4,6,7,9,10]
[10,9,8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8,9,10]
[7,10,6,9,3,5,8,1,2,4]=>[4,2,1,8,5,3,9,6,10,7]
[10,4,6,9,3,5,8,1,2,7]=>[7,2,1,8,5,3,9,6,4,10]
[7,10,4,6,9,3,8,1,2,5]=>[5,2,1,8,3,9,6,4,10,7]
[5,7,10,4,6,9,3,8,1,2]=>[2,1,8,3,9,6,4,10,7,5]
[8,7,10,4,9,3,6,1,2,5]=>[5,2,1,6,3,9,4,10,7,8]
[8,5,7,10,4,9,3,6,1,2]=>[2,1,6,3,9,4,10,7,5,8]
[10,6,9,2,3,5,8,1,4,7]=>[7,4,1,8,5,3,2,9,6,10]
[7,10,6,9,2,3,5,8,1,4]=>[4,1,8,5,3,2,9,6,10,7]
[10,4,6,9,2,5,8,1,3,7]=>[7,3,1,8,5,2,9,6,4,10]
[7,10,4,6,9,2,8,1,3,5]=>[5,3,1,8,2,9,6,4,10,7]
[7,10,2,5,6,9,4,8,1,3]=>[3,1,8,4,9,6,5,2,10,7]
[8,7,10,4,9,2,6,1,3,5]=>[5,3,1,6,2,9,4,10,7,8]
[8,5,10,2,7,9,4,6,1,3]=>[3,1,6,4,9,7,2,10,5,8]
[10,3,4,6,9,2,5,8,1,7]=>[7,1,8,5,2,9,6,4,3,10]
[7,10,3,4,6,9,2,8,1,5]=>[5,1,8,2,9,6,4,3,10,7]
[5,7,10,3,6,9,2,8,1,4]=>[4,1,8,2,9,6,3,10,7,5]
[4,5,7,10,3,6,9,2,8,1]=>[1,8,2,9,6,3,10,7,5,4]
[8,7,10,3,4,9,2,6,1,5]=>[5,1,6,2,9,4,3,10,7,8]
[8,5,7,10,3,9,2,6,1,4]=>[4,1,6,2,9,3,10,7,5,8]
[8,4,5,7,10,3,9,2,6,1]=>[1,6,2,9,3,10,7,5,4,8]
[10,2,5,6,9,4,8,1,3,7]=>[7,3,1,8,4,9,6,5,2,10]
[5,10,2,7,9,4,8,1,3,6]=>[6,3,1,8,4,9,7,2,10,5]
[6,7,10,2,5,9,4,8,1,3]=>[3,1,8,4,9,5,2,10,7,6]
[2,8,10,5,9,4,7,1,3,6]=>[6,3,1,7,4,9,5,10,8,2]
[2,6,8,10,5,9,4,7,1,3]=>[3,1,7,4,9,5,10,8,6,2]
[5,10,3,6,9,2,4,8,1,7]=>[7,1,8,4,2,9,6,3,10,5]
[5,7,10,3,9,2,4,8,1,6]=>[6,1,8,4,2,9,3,10,7,5]
[3,6,7,10,5,9,2,8,1,4]=>[4,1,8,2,9,5,10,7,6,3]
[6,4,7,10,3,5,9,2,8,1]=>[1,8,2,9,5,3,10,7,4,6]
[8,5,10,3,9,2,4,7,1,6]=>[6,1,7,4,2,9,3,10,5,8]
[6,3,8,10,5,9,2,7,1,4]=>[4,1,7,2,9,5,10,8,3,6]
[6,8,4,10,3,5,9,2,7,1]=>[1,7,2,9,5,3,10,4,8,6]
[7,8,3,10,2,6,9,5,1,4]=>[4,1,5,9,6,2,10,3,8,7]
[4,7,8,6,10,3,9,2,5,1]=>[1,5,2,9,3,10,6,8,7,4]
[2,5,9,10,8,4,7,1,3,6]=>[6,3,1,7,4,8,10,9,5,2]
[6,2,9,10,5,8,4,7,1,3]=>[3,1,7,4,8,5,10,9,2,6]
[5,3,9,10,8,2,4,7,1,6]=>[6,1,7,4,2,8,10,9,3,5]
[3,9,6,10,5,8,2,7,1,4]=>[4,1,7,2,8,5,10,6,9,3]
[9,6,4,10,3,5,8,2,7,1]=>[1,7,2,8,5,3,10,4,6,9]
[9,7,3,10,2,6,8,5,1,4]=>[4,1,5,8,6,2,10,3,7,9]
[2,5,6,7,8,9,10,1,4,3]=>[3,4,1,10,9,8,7,6,5,2]
[5,6,7,9,1,2,3,4,10,8]=>[8,10,4,3,2,1,9,7,6,5]
[5,6,7,9,1,2,3,8,10,4]=>[4,10,8,3,2,1,9,7,6,5]
[1,3,5,7,2,4,6,8,9,10]=>[10,9,8,6,4,2,7,5,3,1]
[1,3,4,6,2,5,7,8,9,10]=>[10,9,8,7,5,2,6,4,3,1]
[1,3,5,6,2,4,7,8,9,10]=>[10,9,8,7,4,2,6,5,3,1]
[1,3,4,5,2,6,7,8,9,10]=>[10,9,8,7,6,2,5,4,3,1]
[1,3,4,6,8,2,5,7,9,10]=>[10,9,7,5,2,8,6,4,3,1]
[1,3,5,6,7,2,4,8,9,10]=>[10,9,8,4,2,7,6,5,3,1]
[1,3,5,4,7,2,6,8,9,10]=>[10,9,8,6,2,7,4,5,3,1]
[1,3,5,4,6,2,7,8,9,10]=>[10,9,8,7,2,6,4,5,3,1]
[1,3,5,6,7,9,2,4,8,10]=>[10,8,4,2,9,7,6,5,3,1]
[1,3,4,5,7,9,2,6,8,10]=>[10,8,6,2,9,7,5,4,3,1]
[1,3,5,7,8,9,2,4,6,10]=>[10,6,4,2,9,8,7,5,3,1]
[1,3,5,4,7,8,2,6,9,10]=>[10,9,6,2,8,7,4,5,3,1]
[1,3,5,4,6,8,2,7,9,10]=>[10,9,7,2,8,6,4,5,3,1]
[1,3,5,7,6,8,2,4,9,10]=>[10,9,4,2,8,6,7,5,3,1]
[1,3,5,6,4,8,2,7,9,10]=>[10,9,7,2,8,4,6,5,3,1]
[1,3,5,6,4,7,2,8,9,10]=>[10,9,8,2,7,4,6,5,3,1]
[1,3,5,7,6,4,2,8,9,10]=>[10,9,8,2,4,6,7,5,3,1]
[1,3,5,7,4,9,10,2,6,8]=>[8,6,2,10,9,4,7,5,3,1]
[1,3,5,7,6,8,9,2,4,10]=>[10,4,2,9,8,6,7,5,3,1]
[1,3,5,6,4,8,9,2,7,10]=>[10,7,2,9,8,4,6,5,3,1]
[1,3,5,6,4,7,9,2,8,10]=>[10,8,2,9,7,4,6,5,3,1]
[1,3,5,7,8,4,9,2,6,10]=>[10,6,2,9,4,8,7,5,3,1]
[1,3,5,6,7,4,9,2,8,10]=>[10,8,2,9,4,7,6,5,3,1]
[1,3,5,7,6,4,8,2,9,10]=>[10,9,2,8,4,6,7,5,3,1]
[1,3,5,7,6,9,4,10,2,8]=>[8,2,10,4,9,6,7,5,3,1]
[1,3,5,7,6,8,4,10,2,9]=>[9,2,10,4,8,6,7,5,3,1]
[1,3,5,7,8,6,4,9,2,10]=>[10,2,9,4,6,8,7,5,3,1]
[8,7,6,5,4,10,3,9,1,2]=>[2,1,9,3,10,4,5,6,7,8]
[8,7,6,5,4,3,10,1,2,9]=>[9,2,1,10,3,4,5,6,7,8]
[7,6,5,10,4,9,3,8,1,2]=>[2,1,8,3,9,4,10,5,6,7]
[7,6,5,4,10,3,9,1,2,8]=>[8,2,1,9,3,10,4,5,6,7]
[7,6,5,4,3,9,10,1,2,8]=>[8,2,1,10,9,3,4,5,6,7]
[7,6,5,4,3,9,1,2,8,10]=>[10,8,2,1,9,3,4,5,6,7]
[6,5,4,9,3,8,10,1,2,7]=>[7,2,1,10,8,3,9,4,5,6]
[6,5,4,9,3,8,1,2,7,10]=>[10,7,2,1,8,3,9,4,5,6]
[6,5,4,3,8,10,1,2,7,9]=>[9,7,2,1,10,8,3,4,5,6]
[6,5,4,3,8,1,2,7,9,10]=>[10,9,7,2,1,8,3,4,5,6]
[5,4,8,10,3,7,9,1,2,6]=>[6,2,1,9,7,3,10,8,4,5]
[5,4,8,3,7,1,2,6,9,10]=>[10,9,6,2,1,7,3,8,4,5]
[5,4,3,7,9,10,1,2,6,8]=>[8,6,2,1,10,9,7,3,4,5]
[5,4,3,7,9,1,2,6,8,10]=>[10,8,6,2,1,9,7,3,4,5]
[5,4,3,7,1,2,6,8,9,10]=>[10,9,8,6,2,1,7,3,4,5]
[4,7,3,6,9,10,1,2,5,8]=>[8,5,2,1,10,9,6,3,7,4]
[4,7,3,6,9,1,2,5,8,10]=>[10,8,5,2,1,9,6,3,7,4]
[4,7,3,6,1,2,5,8,9,10]=>[10,9,8,5,2,1,6,3,7,4]
[4,3,6,8,10,1,2,5,7,9]=>[9,7,5,2,1,10,8,6,3,4]
[4,3,6,1,2,5,7,8,9,10]=>[10,9,8,7,5,2,1,6,3,4]
[1,10,8,6,4,3,2,5,7,9]=>[9,7,5,2,3,4,6,8,10,1]
[10,9,8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8,9,10]
[10,9,8,7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7,8,9,10]
[10,9,8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8,9,10]
[10,5,9,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,9,5,10]
[10,9,5,8,2,7,6,1,4,3]=>[3,4,1,6,7,2,8,5,9,10]
[10,9,5,8,4,7,1,6,3,2]=>[2,3,6,1,7,4,8,5,9,10]
[10,9,8,3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3,8,9,10]
[10,9,8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8,9,10]
[6,10,5,9,2,8,7,1,4,3]=>[3,4,1,7,8,2,9,5,10,6]
[6,10,5,9,4,8,1,7,3,2]=>[2,3,7,1,8,4,9,5,10,6]
[10,3,9,8,2,7,6,1,5,4]=>[4,5,1,6,7,2,8,9,3,10]
[10,6,9,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,9,6,10]
[10,9,2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2,9,10]
[10,9,4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4,9,10]
[10,9,6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6,9,10]
[4,10,9,3,8,7,1,6,5,2]=>[2,5,6,1,7,8,3,9,10,4]
[7,10,2,9,8,6,1,5,4,3]=>[3,4,5,1,6,8,9,2,10,7]
[7,10,4,9,8,1,6,5,3,2]=>[2,3,5,6,1,8,9,4,10,7]
[7,10,6,9,1,8,5,4,3,2]=>[2,3,4,5,8,1,9,6,10,7]
[10,3,9,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,9,3,10]
[10,5,9,8,1,7,6,4,3,2]=>[2,3,4,6,7,1,8,9,5,10]
[10,7,9,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,9,7,10]
[4,10,9,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,9,10,4]
[6,10,9,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,9,10,6]
[2,1,4,3,8,7,10,9,6,5]=>[5,6,9,10,7,8,3,4,1,2]
[2,1,8,5,10,7,4,9,6,3]=>[3,6,9,4,7,10,5,8,1,2]
[2,1,6,5,10,7,8,9,4,3]=>[3,4,9,8,7,10,5,6,1,2]
[2,1,8,5,6,7,10,9,4,3]=>[3,4,9,10,7,6,5,8,1,2]
[2,1,4,7,6,9,8,5,10,3]=>[3,10,5,8,9,6,7,4,1,2]
[2,3,4,1,8,7,10,9,6,5]=>[5,6,9,10,7,8,1,4,3,2]
[4,3,6,5,2,1,8,7,10,9]=>[9,10,7,8,1,2,5,6,3,4]
[4,3,6,5,2,1,8,9,10,7]=>[7,10,9,8,1,2,5,6,3,4]
[6,3,8,5,2,7,4,1,10,9]=>[9,10,1,4,7,2,5,8,3,6]
[8,3,10,5,2,7,4,9,6,1]=>[1,6,9,4,7,2,5,10,3,8]
[6,3,10,5,2,7,8,9,4,1]=>[1,4,9,8,7,2,5,10,3,6]
[4,3,8,5,6,7,2,1,10,9]=>[9,10,1,2,7,6,5,8,3,4]
[8,3,10,5,6,7,2,9,4,1]=>[1,4,9,2,7,6,5,10,3,8]
[4,3,10,7,6,9,8,5,2,1]=>[1,2,5,8,9,6,7,10,3,4]
[6,3,4,5,8,7,2,1,10,9]=>[9,10,1,2,7,8,5,4,3,6]
[8,3,4,5,10,7,2,9,6,1]=>[1,6,9,2,7,10,5,4,3,8]
[6,3,4,5,10,7,8,9,2,1]=>[1,2,9,8,7,10,5,4,3,6]
[2,5,4,7,6,3,8,1,10,9]=>[9,10,1,8,3,6,7,4,5,2]
[8,5,4,7,6,3,10,9,2,1]=>[1,2,9,10,3,6,7,4,5,8]
[2,7,4,9,6,3,8,5,10,1]=>[1,10,5,8,3,6,9,4,7,2]
[2,5,4,9,6,7,8,3,10,1]=>[1,10,3,8,7,6,9,4,5,2]
[8,3,4,5,6,7,10,9,2,1]=>[1,2,9,10,7,6,5,4,3,8]
[2,7,4,5,6,9,8,3,10,1]=>[1,10,3,8,9,6,5,4,7,2]
[2,3,6,5,8,7,4,9,10,1]=>[1,10,9,4,7,8,5,6,3,2]
[4,5,6,7,8,2,10,1,9,3]=>[3,9,1,10,2,8,7,6,5,4]
[4,5,6,7,8,3,1,10,2,9]=>[9,2,10,1,3,8,7,6,5,4]
[3,4,5,6,1,7,10,8,2,9]=>[9,2,8,10,7,1,6,5,4,3]
[5,6,7,8,10,9,1,3,2,4]=>[4,2,3,1,9,10,8,7,6,5]
[4,5,6,7,2,9,1,8,10,3]=>[3,10,8,1,9,2,7,6,5,4]
[10,9,8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8,9,10]
[10,9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9,10]
[2,1,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,1,2]
[2,1,3,4,5,6,8,7,9,10]=>[10,9,7,8,6,5,4,3,1,2]
[3,1,2,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,2,1,3]
[2,1,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,1,2]
[2,1,3,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,3,1,2]
[5,1,2,3,4,6,8,9,7,10]=>[10,7,9,8,6,4,3,2,1,5]
[6,1,2,3,4,7,8,5,9,10]=>[10,9,5,8,7,4,3,2,1,6]
[7,1,2,3,6,5,4,8,9,10]=>[10,9,8,4,5,6,3,2,1,7]
[8,1,2,4,5,3,6,7,9,10]=>[10,9,7,6,3,5,4,2,1,8]
[9,1,3,4,2,5,6,7,8,10]=>[10,8,7,6,5,2,4,3,1,9]
[8,7,6,10,9,5,4,3,2,1]=>[1,2,3,4,5,9,10,6,7,8]
[7,6,5,4,10,9,8,3,2,1]=>[1,2,3,8,9,10,4,5,6,7]
[9,8,10,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,10,8,9]
[1,9,7,6,5,4,3,2,8,10]=>[10,8,2,3,4,5,6,7,9,1]
[1,9,7,10,8,6,5,4,3,2]=>[2,3,4,5,6,8,10,7,9,1]
[1,9,7,5,10,8,6,4,3,2]=>[2,3,4,6,8,10,5,7,9,1]
[1,9,7,5,3,2,4,10,8,6]=>[6,8,10,4,2,3,5,7,9,1]
[10,8,6,4,2,1,3,5,9,7]=>[7,9,5,3,1,2,4,6,8,10]
[10,8,6,4,2,1,3,7,9,5]=>[5,9,7,3,1,2,4,6,8,10]
[10,8,6,4,2,1,5,7,9,3]=>[3,9,7,5,1,2,4,6,8,10]
[10,8,6,4,1,3,5,7,9,2]=>[2,9,7,5,3,1,4,6,8,10]
[10,8,6,3,1,2,5,7,9,4]=>[4,9,7,5,2,1,3,6,8,10]
[10,8,5,3,1,2,4,7,9,6]=>[6,9,7,4,2,1,3,5,8,10]
[10,7,5,3,1,2,4,6,9,8]=>[8,9,6,4,2,1,3,5,7,10]
[10,9,6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6,9,10]
[10,6,5,4,3,9,8,7,2,1]=>[1,2,7,8,9,3,4,5,6,10]
[4,10,9,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,9,10,4]
[7,10,9,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,9,10,7]
[1,2,9,3,5,10,8,4,7,6]=>[6,7,4,8,10,5,3,9,2,1]
[1,2,6,3,8,7,5,10,4,9]=>[9,4,10,5,7,8,3,6,2,1]
[1,2,9,3,5,8,10,4,7,6]=>[6,7,4,10,8,5,3,9,2,1]
[1,2,6,3,8,5,7,10,4,9]=>[9,4,10,7,5,8,3,6,2,1]
[1,2,6,3,8,5,10,7,4,9]=>[9,4,7,10,5,8,3,6,2,1]
[1,2,7,9,3,8,6,10,5,4]=>[4,5,10,6,8,3,9,7,2,1]
[1,2,9,6,3,10,8,5,7,4]=>[4,7,5,8,10,3,6,9,2,1]
[1,2,7,9,3,6,8,10,5,4]=>[4,5,10,8,6,3,9,7,2,1]
[1,2,9,6,3,8,10,5,7,4]=>[4,7,5,10,8,3,6,9,2,1]
[1,2,6,8,3,10,5,7,9,4]=>[4,9,7,5,10,3,8,6,2,1]
[1,2,4,6,8,3,5,7,10,9]=>[9,10,7,5,3,8,6,4,2,1]
[1,2,4,6,8,3,5,10,7,9]=>[9,7,10,5,3,8,6,4,2,1]
[1,2,4,6,8,3,10,5,7,9]=>[9,7,5,10,3,8,6,4,2,1]
[1,4,2,5,7,3,10,6,9,8]=>[8,9,6,10,3,7,5,2,4,1]
[1,4,2,5,8,3,7,10,6,9]=>[9,6,10,7,3,8,5,2,4,1]
[1,4,2,5,7,10,3,6,9,8]=>[8,9,6,3,10,7,5,2,4,1]
[1,4,2,5,8,7,3,10,6,9]=>[9,6,10,3,7,8,5,2,4,1]
[1,7,2,8,4,10,6,3,9,5]=>[5,9,3,6,10,4,8,2,7,1]
[1,4,2,9,5,3,8,10,7,6]=>[6,7,10,8,3,5,9,2,4,1]
[1,4,2,8,5,3,10,7,9,6]=>[6,9,7,10,3,5,8,2,4,1]
[1,4,2,9,5,8,3,10,7,6]=>[6,7,10,3,8,5,9,2,4,1]
[1,4,2,8,5,10,3,7,9,6]=>[6,9,7,3,10,5,8,2,4,1]
[1,7,2,4,8,6,10,3,5,9]=>[9,5,3,10,6,8,4,2,7,1]
[1,4,2,6,8,5,3,7,10,9]=>[9,10,7,3,5,8,6,2,4,1]
[1,4,2,6,8,5,3,10,7,9]=>[9,7,10,3,5,8,6,2,4,1]
[1,9,2,4,6,10,8,3,5,7]=>[7,5,3,8,10,6,4,2,9,1]
[1,9,2,4,6,8,10,3,5,7]=>[7,5,3,10,8,6,4,2,9,1]
[1,6,4,2,7,5,10,3,9,8]=>[8,9,3,10,5,7,2,4,6,1]
[1,5,9,2,6,10,4,8,3,7]=>[7,3,8,4,10,6,2,9,5,1]
[1,6,4,2,7,10,5,3,9,8]=>[8,9,3,5,10,7,2,4,6,1]
[1,5,9,2,6,4,10,8,3,7]=>[7,3,8,10,4,6,2,9,5,1]
[1,5,9,2,6,4,8,10,3,7]=>[7,3,10,8,4,6,2,9,5,1]
[1,6,4,2,8,7,5,3,10,9]=>[9,10,3,5,7,8,2,4,6,1]
[1,9,7,2,4,10,8,6,3,5]=>[5,3,6,8,10,4,2,7,9,1]
[1,7,9,2,4,8,6,10,3,5]=>[5,3,10,6,8,4,2,9,7,1]
[1,7,9,2,4,6,8,10,3,5]=>[5,3,10,8,6,4,2,9,7,1]
[1,9,7,5,2,10,8,6,4,3]=>[3,4,6,8,10,2,5,7,9,1]
[1,7,5,9,2,8,6,4,10,3]=>[3,10,4,6,8,2,9,5,7,1]
[1,5,7,9,2,6,4,8,10,3]=>[3,10,8,4,6,2,9,7,5,1]
[5,6,7,8,10,1,2,4,9,3]=>[3,9,4,2,1,10,8,7,6,5]
[1,5,6,7,9,2,3,8,10,4]=>[4,10,8,3,2,9,7,6,5,1]
[1,5,6,7,9,2,3,4,10,8]=>[8,10,4,3,2,9,7,6,5,1]
[5,1,6,7,10,2,3,9,4,8]=>[8,4,9,3,2,10,7,6,1,5]
[6,3,5,8,9,1,7,4,10,2]=>[2,10,4,7,1,9,8,5,3,6]
[6,5,2,8,9,1,3,7,10,4]=>[4,10,7,3,1,9,8,2,5,6]
[5,2,6,7,9,1,3,10,8,4]=>[4,8,10,3,1,9,7,6,2,5]
[10,2,9,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,9,2,10]
[10,3,9,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,9,3,10]
[10,2,9,3,8,4,7,6,5,1]=>[1,5,6,7,4,8,3,9,2,10]
[10,3,9,4,8,2,7,6,5,1]=>[1,5,6,7,2,8,4,9,3,10]
[10,4,9,3,8,2,7,6,5,1]=>[1,5,6,7,2,8,3,9,4,10]
[10,3,9,4,8,5,7,1,6,2]=>[2,6,1,7,5,8,4,9,3,10]
[10,3,9,4,8,5,7,2,6,1]=>[1,6,2,7,5,8,4,9,3,10]
[10,4,9,5,8,2,7,3,6,1]=>[1,6,3,7,2,8,5,9,4,10]
[10,4,9,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,9,4,10]
[10,3,9,4,5,6,8,2,7,1]=>[1,7,2,8,6,5,4,9,3,10]
[10,4,5,6,9,1,8,2,7,3]=>[3,7,2,8,1,9,6,5,4,10]
[5,6,10,3,9,4,8,2,7,1]=>[1,7,2,8,4,9,3,10,6,5]
[5,6,10,4,9,3,8,2,7,1]=>[1,7,2,8,3,9,4,10,6,5]
[7,6,5,2,10,3,9,4,8,1]=>[1,8,4,9,3,10,2,5,6,7]
[7,6,5,3,10,4,9,1,8,2]=>[2,8,1,9,4,10,3,5,6,7]
[7,6,5,3,10,4,9,2,8,1]=>[1,8,2,9,4,10,3,5,6,7]
[7,4,6,5,10,2,9,3,8,1]=>[1,8,3,9,2,10,5,6,4,7]
[7,4,6,5,10,3,9,2,8,1]=>[1,8,2,9,3,10,5,6,4,7]
[7,5,6,4,10,3,9,2,8,1]=>[1,8,2,9,3,10,4,6,5,7]
[6,5,7,4,10,3,9,2,8,1]=>[1,8,2,9,3,10,4,7,5,6]
[5,6,8,3,7,4,10,2,9,1]=>[1,9,2,10,4,7,3,8,6,5]
[2,9,4,5,6,7,8,1,3,10]=>[10,3,1,8,7,6,5,4,9,2]
[3,9,10,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,10,9,3]
[10,9,4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4,9,10]
[10,4,1,2,6,7,8,9,5,3]=>[3,5,9,8,7,6,2,1,4,10]
[4,5,3,6,7,8,10,2,1,9]=>[9,1,2,10,8,7,6,3,5,4]
[2,1,4,3,9,10,6,5,7,8]=>[8,7,5,6,10,9,3,4,1,2]
[2,1,7,8,4,3,5,6,10,9]=>[9,10,6,5,3,4,8,7,1,2]
[2,1,9,7,4,10,6,3,5,8]=>[8,5,3,6,10,4,7,9,1,2]
[2,1,9,10,4,3,5,6,7,8]=>[8,7,6,5,3,4,10,9,1,2]
[2,1,9,10,4,5,6,3,7,8]=>[8,7,3,6,5,4,10,9,1,2]
[2,1,8,3,10,5,4,6,7,9]=>[9,7,6,4,5,10,3,8,1,2]
[4,1,2,3,9,10,6,5,7,8]=>[8,7,5,6,10,9,3,2,1,4]
[5,6,2,1,3,4,8,7,10,9]=>[9,10,7,8,4,3,1,2,6,5]
[5,6,2,1,3,4,10,7,8,9]=>[9,8,7,10,4,3,1,2,6,5]
[7,5,2,8,4,1,3,6,10,9]=>[9,10,6,3,1,4,8,2,5,7]
[9,5,2,7,4,10,6,1,3,8]=>[8,3,1,6,10,4,7,2,5,9]
[9,5,2,10,4,1,3,6,7,8]=>[8,7,6,3,1,4,10,2,5,9]
[7,8,2,1,3,4,5,6,10,9]=>[9,10,6,5,4,3,1,2,8,7]
[9,7,2,10,4,5,6,1,3,8]=>[8,3,1,6,5,4,10,2,7,9]
[9,10,2,1,8,5,3,4,7,6]=>[6,7,4,3,5,8,1,2,10,9]
[7,8,2,3,4,1,5,6,10,9]=>[9,10,6,5,1,4,3,2,8,7]
[9,7,2,3,4,10,6,1,5,8]=>[8,5,1,6,10,4,3,2,7,9]
[9,10,2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2,10,9]
[6,1,8,3,2,4,5,7,10,9]=>[9,10,7,5,4,2,3,8,1,6]
[9,6,10,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,10,6,9]
[8,1,6,3,10,5,2,4,7,9]=>[9,7,4,2,5,10,3,6,1,8]
[8,1,10,3,2,4,5,6,7,9]=>[9,7,6,5,4,2,3,10,1,8]
[9,10,2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2,10,9]
[8,1,10,3,4,5,2,6,7,9]=>[9,7,6,2,5,4,3,10,1,8]
[7,1,2,10,4,3,5,6,8,9]=>[9,8,6,5,3,4,10,2,1,7]
[6,5,4,8,9,10,7,2,1,3]=>[3,1,2,7,10,9,8,4,5,6]
[10,9,8,7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7,8,9,10]
[8,5,4,9,10,7,3,2,1,6]=>[6,1,2,3,7,10,9,4,5,8]
[7,5,4,8,10,2,3,1,9,6]=>[6,9,1,3,2,10,8,4,5,7]
[8,4,10,9,5,7,3,2,1,6]=>[6,1,2,3,7,5,9,10,4,8]
[7,4,10,8,5,2,3,1,9,6]=>[6,9,1,3,2,5,8,10,4,7]
[10,9,8,7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7,8,9,10]
[6,5,4,8,9,10,7,2,3,1]=>[1,3,2,7,10,9,8,4,5,6]
[10,9,8,7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7,8,9,10]
[8,5,4,9,10,7,3,1,6,2]=>[2,6,1,3,7,10,9,4,5,8]
[7,5,4,9,10,2,1,8,6,3]=>[3,6,8,1,2,10,9,4,5,7]
[8,4,10,9,5,7,3,1,6,2]=>[2,6,1,3,7,5,9,10,4,8]
[7,4,10,9,5,2,1,8,6,3]=>[3,6,8,1,2,5,9,10,4,7]
[10,9,8,7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7,8,9,10]
[8,5,4,9,10,2,7,6,3,1]=>[1,3,6,7,2,10,9,4,5,8]
[7,5,4,8,9,2,6,3,1,10]=>[10,1,3,6,2,9,8,4,5,7]
[8,4,10,9,5,7,3,6,2,1]=>[1,2,6,3,7,5,9,10,4,8]
[8,4,10,9,5,2,7,6,3,1]=>[1,3,6,7,2,5,9,10,4,8]
[7,4,9,8,5,2,6,3,1,10]=>[10,1,3,6,2,5,8,9,4,7]
[10,9,8,7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7,8,9,10]
[9,8,4,10,7,3,2,1,6,5]=>[5,6,1,2,3,7,10,4,8,9]
[9,7,4,10,2,1,3,8,6,5]=>[5,6,8,3,1,2,10,4,7,9]
[9,8,10,4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4,10,8,9]
[9,7,10,4,2,1,3,8,6,5]=>[5,6,8,3,1,2,4,10,7,9]
[10,9,8,7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7,8,9,10]
[9,8,4,10,7,3,2,6,5,1]=>[1,5,6,2,3,7,10,4,8,9]
[9,8,4,10,2,1,7,6,5,3]=>[3,5,6,7,1,2,10,4,8,9]
[8,7,4,9,2,1,6,5,3,10]=>[10,3,5,6,1,2,9,4,7,8]
[9,8,10,4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4,10,8,9]
[9,8,10,4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4,10,8,9]
[8,7,9,4,2,1,6,5,3,10]=>[10,3,5,6,1,2,4,9,7,8]
[5,4,9,2,10,8,7,6,3,1]=>[1,3,6,7,8,10,2,9,4,5]
[5,4,8,2,9,7,6,3,1,10]=>[10,1,3,6,7,9,2,8,4,5]
[9,10,8,4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4,8,10,9]
[9,10,7,4,2,1,3,8,6,5]=>[5,6,8,3,1,2,4,7,10,9]
[9,10,8,4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4,8,10,9]
[9,10,8,4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4,8,10,9]
[8,9,7,4,2,1,6,5,3,10]=>[10,3,5,6,1,2,4,7,9,8]
[5,9,4,2,10,8,7,6,3,1]=>[1,3,6,7,8,10,2,4,9,5]
[2,4,6,5,3,1,7,8,9,10]=>[10,9,8,7,1,3,5,6,4,2]
[3,1,5,4,2,6,7,8,9,10]=>[10,9,8,7,6,2,4,5,1,3]
[2,4,6,8,7,5,3,1,9,10]=>[10,9,1,3,5,7,8,6,4,2]
[3,1,5,7,6,4,2,8,9,10]=>[10,9,8,2,4,6,7,5,1,3]
[4,6,1,2,5,3,7,8,9,10]=>[10,9,8,7,3,5,2,1,6,4]
[4,2,1,6,5,3,7,8,9,10]=>[10,9,8,7,3,5,6,1,2,4]
[3,1,5,7,9,8,6,4,2,10]=>[10,2,4,6,8,9,7,5,1,3]
[4,6,1,2,8,7,5,3,9,10]=>[10,9,3,5,7,8,2,1,6,4]
[4,2,1,6,8,7,5,3,9,10]=>[10,9,3,5,7,8,6,1,2,4]
[5,3,7,4,1,6,2,8,9,10]=>[10,9,8,2,6,1,4,7,3,5]
[5,3,1,2,7,6,4,8,9,10]=>[10,9,8,4,6,7,2,1,3,5]
[4,6,1,2,8,10,9,7,5,3]=>[3,5,7,9,10,8,2,1,6,4]
[4,2,1,6,8,10,9,7,5,3]=>[3,5,7,9,10,8,6,1,2,4]
[5,7,9,1,2,3,8,6,4,10]=>[10,4,6,8,3,2,1,9,7,5]
[5,3,1,2,7,9,8,6,4,10]=>[10,4,6,8,9,7,2,1,3,5]
[6,8,2,4,3,1,7,5,9,10]=>[10,9,5,7,1,3,4,2,8,6]
[6,4,1,8,5,2,7,3,9,10]=>[10,9,3,7,2,5,8,1,4,6]
[6,4,2,1,3,8,7,5,9,10]=>[10,9,5,7,8,3,1,2,4,6]
[6,4,8,10,7,1,2,9,5,3]=>[3,5,9,2,1,7,10,8,4,6]
[6,8,2,4,3,1,10,9,7,5]=>[5,7,9,10,1,3,4,2,8,6]
[6,4,1,8,5,2,10,9,7,3]=>[3,7,9,10,2,5,8,1,4,6]
[6,4,2,1,3,8,10,9,7,5]=>[5,7,9,10,8,3,1,2,4,6]
[7,3,9,1,5,6,2,8,4,10]=>[10,4,8,2,6,5,1,9,3,7]
[7,5,2,1,9,6,3,8,4,10]=>[10,4,8,3,6,9,1,2,5,7]
[7,5,3,1,2,4,9,8,6,10]=>[10,6,8,9,4,2,1,3,5,7]
[8,10,4,6,1,2,5,3,9,7]=>[7,9,3,5,2,1,6,4,10,8]
[8,4,2,10,3,6,7,1,9,5]=>[5,9,1,7,6,3,10,2,4,8]
[8,6,3,1,2,10,7,4,9,5]=>[5,9,4,7,10,2,1,3,6,8]
[8,6,4,2,1,3,5,10,9,7]=>[7,9,10,5,3,1,2,4,6,8]
[5,6,9,3,10,4,8,1,7,2]=>[2,7,1,8,4,10,3,9,6,5]
[7,3,8,6,5,4,10,1,9,2]=>[2,9,1,10,4,5,6,8,3,7]
[7,3,9,6,4,10,1,8,5,2]=>[2,5,8,1,10,4,6,9,3,7]
[8,3,9,4,10,1,7,6,5,2]=>[2,5,6,7,1,10,4,9,3,8]
[8,3,6,7,4,5,10,1,9,2]=>[2,9,1,10,5,4,7,6,3,8]
[9,3,6,10,4,5,8,1,7,2]=>[2,7,1,8,5,4,10,6,3,9]
[3,7,8,4,6,5,10,1,9,2]=>[2,9,1,10,5,6,4,8,7,3]
[7,9,4,6,5,10,1,8,3,2]=>[2,3,8,1,10,5,6,4,9,7]
[8,4,9,5,10,7,1,6,3,2]=>[2,3,6,1,7,10,5,9,4,8]
[3,4,5,7,8,6,10,1,9,2]=>[2,9,1,10,6,8,7,5,4,3]
[4,5,7,9,6,10,1,8,3,2]=>[2,3,8,1,10,6,9,7,5,4]
[5,8,6,9,1,10,7,4,3,2]=>[2,3,4,7,10,1,9,6,8,5]
[8,7,9,1,10,6,5,4,3,2]=>[2,3,4,5,6,10,1,9,7,8]
[5,6,8,1,7,2,10,4,9,3]=>[3,9,4,10,2,7,1,8,6,5]
[5,6,9,1,10,2,8,4,7,3]=>[3,7,4,8,2,10,1,9,6,5]
[7,1,8,6,5,2,10,4,9,3]=>[3,9,4,10,2,5,6,8,1,7]
[7,1,9,6,2,10,4,8,5,3]=>[3,5,8,4,10,2,6,9,1,7]
[8,1,9,2,10,4,7,6,5,3]=>[3,5,6,7,4,10,2,9,1,8]
[8,1,6,7,4,10,2,5,9,3]=>[3,9,5,2,10,4,7,6,1,8]
[9,1,6,10,4,8,2,5,7,3]=>[3,7,5,2,8,4,10,6,1,9]
[7,8,4,6,1,10,5,9,2,3]=>[3,2,9,5,10,1,6,4,8,7]
[1,7,9,4,6,2,10,5,8,3]=>[3,8,5,10,2,6,4,9,7,1]
[1,8,4,9,2,10,7,5,6,3]=>[3,6,5,7,10,2,9,4,8,1]
[4,5,7,8,1,10,6,9,2,3]=>[3,2,9,6,10,1,8,7,5,4]
[1,4,5,7,9,2,10,6,8,3]=>[3,8,6,10,2,9,7,5,4,1]
[1,5,8,2,9,6,10,7,4,3]=>[3,4,7,10,6,9,2,8,5,1]
[1,8,2,9,7,10,6,5,4,3]=>[3,4,5,6,10,7,9,2,8,1]
[8,1,7,2,6,10,3,5,9,4]=>[4,9,5,3,10,6,2,7,1,8]
[9,1,10,2,6,8,3,5,7,4]=>[4,7,5,3,8,6,2,10,1,9]
[8,1,6,2,3,7,10,5,9,4]=>[4,9,5,10,7,3,2,6,1,8]
[1,9,2,6,3,7,10,5,8,4]=>[4,8,5,10,7,3,6,2,9,1]
[1,8,9,2,10,3,7,5,6,4]=>[4,6,5,7,3,10,2,9,8,1]
[5,8,1,7,10,6,9,2,3,4]=>[4,3,2,9,6,10,7,1,8,5]
[1,5,9,2,7,10,6,8,3,4]=>[4,3,8,6,10,7,2,9,5,1]
[1,2,5,8,9,3,10,6,7,4]=>[4,7,6,10,3,9,8,5,2,1]
[1,2,8,9,3,7,10,6,5,4]=>[4,5,6,10,7,3,9,8,2,1]
[8,7,10,1,6,9,2,3,4,5]=>[5,4,3,2,9,6,1,10,7,8]
[1,9,7,10,2,6,8,3,4,5]=>[5,4,3,8,6,2,10,7,9,1]
[1,2,8,9,3,6,10,7,4,5]=>[5,4,7,10,6,3,9,8,2,1]
[1,2,3,8,9,7,10,4,6,5]=>[5,6,4,10,7,9,8,3,2,1]
[9,7,5,3,10,1,2,4,6,8]=>[8,6,4,2,1,10,3,5,7,9]
[8,6,9,10,7,5,4,3,2,1]=>[1,2,3,4,5,7,10,9,6,8]
[4,8,6,9,10,7,5,3,2,1]=>[1,2,3,5,7,10,9,6,8,4]
[8,5,6,9,10,7,4,3,2,1]=>[1,2,3,4,7,10,9,6,5,8]
[7,8,5,9,10,6,4,3,2,1]=>[1,2,3,4,6,10,9,5,8,7]
[2,4,8,6,9,10,7,5,3,1]=>[1,3,5,7,10,9,6,8,4,2]
[8,5,3,6,9,10,7,4,2,1]=>[1,2,4,7,10,9,6,3,5,8]
[7,3,8,5,9,10,6,4,2,1]=>[1,2,4,6,10,9,5,8,3,7]
[4,7,8,5,9,10,6,3,2,1]=>[1,2,3,6,10,9,5,8,7,4]
[6,7,8,4,9,10,5,3,2,1]=>[1,2,3,5,10,9,4,8,7,6]
[1,8,5,3,6,9,10,7,4,2]=>[2,4,7,10,9,6,3,5,8,1]
[1,7,3,8,5,9,10,6,4,2]=>[2,4,6,10,9,5,8,3,7,1]
[8,5,2,3,6,9,10,7,4,1]=>[1,4,7,10,9,6,3,2,5,8]
[4,7,2,8,5,9,10,6,3,1]=>[1,3,6,10,9,5,8,2,7,4]
[6,7,2,8,4,9,10,5,3,1]=>[1,3,5,10,9,4,8,2,7,6]
[4,7,8,3,5,9,10,6,2,1]=>[1,2,6,10,9,5,3,8,7,4]
[6,3,7,8,4,9,10,5,2,1]=>[1,2,5,10,9,4,8,7,3,6]
[5,6,7,8,3,9,10,4,2,1]=>[1,2,4,10,9,3,8,7,6,5]
[4,7,1,2,8,5,9,10,6,3]=>[3,6,10,9,5,8,2,1,7,4]
[4,7,8,3,1,5,9,10,6,2]=>[2,6,10,9,5,1,3,8,7,4]
[6,3,7,1,8,4,9,10,5,2]=>[2,5,10,9,4,8,1,7,3,6]
[5,6,7,1,8,3,9,10,4,2]=>[2,4,10,9,3,8,1,7,6,5]
[6,2,3,7,8,4,9,10,5,1]=>[1,5,10,9,4,8,7,3,2,6]
[5,6,2,7,8,3,9,10,4,1]=>[1,4,10,9,3,8,7,2,6,5]
[4,5,6,7,8,2,9,10,3,1]=>[1,3,10,9,2,8,7,6,5,4]
[4,5,6,1,7,8,2,9,10,3]=>[3,10,9,2,8,7,1,6,5,4]
[10,7,5,8,3,6,1,4,2,9]=>[9,2,4,1,6,3,8,5,7,10]
[2,1,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,1,2]
[4,5,6,7,1,2,3,9,10,8]=>[8,10,9,3,2,1,7,6,5,4]
[4,5,6,7,1,2,3,9,8,10]=>[10,8,9,3,2,1,7,6,5,4]
[4,5,6,1,2,3,8,9,7,10]=>[10,7,9,8,3,2,1,6,5,4]
[4,5,6,1,2,3,8,7,9,10]=>[10,9,7,8,3,2,1,6,5,4]
[3,4,5,1,2,8,9,6,7,10]=>[10,7,6,9,8,2,1,5,4,3]
[3,4,5,1,2,7,8,6,10,9]=>[9,10,6,8,7,2,1,5,4,3]
[3,4,5,1,2,7,8,6,9,10]=>[10,9,6,8,7,2,1,5,4,3]
[3,4,5,1,2,7,6,9,8,10]=>[10,8,9,6,7,2,1,5,4,3]
[3,4,5,1,2,7,6,8,9,10]=>[10,9,8,6,7,2,1,5,4,3]
[3,4,1,2,6,7,5,9,10,8]=>[8,10,9,5,7,6,2,1,4,3]
[3,4,1,2,6,7,5,9,8,10]=>[10,8,9,5,7,6,2,1,4,3]
[3,4,1,2,6,7,5,8,9,10]=>[10,9,8,5,7,6,2,1,4,3]
[3,4,1,2,6,5,8,7,9,10]=>[10,9,7,8,5,6,2,1,4,3]
[3,4,1,2,6,5,7,8,9,10]=>[10,9,8,7,5,6,2,1,4,3]
[5,6,4,7,3,8,2,1,10,9]=>[9,10,1,2,8,3,7,4,6,5]
[4,5,3,6,2,7,1,9,8,10]=>[10,8,9,1,7,2,6,3,5,4]
[3,4,2,5,1,7,6,9,8,10]=>[10,8,9,6,7,1,5,2,4,3]
[2,3,4,5,7,8,9,6,10,1]=>[1,10,6,9,8,7,5,4,3,2]
[2,3,4,5,7,8,6,9,10,1]=>[1,10,9,6,8,7,5,4,3,2]
[9,10,5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5,10,9]
[6,10,9,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,9,10,6]
[2,3,10,9,1,4,5,6,7,8]=>[8,7,6,5,4,1,9,10,3,2]
[10,3,4,1,9,2,5,6,7,8]=>[8,7,6,5,2,9,1,4,3,10]
[9,5,4,1,2,10,3,6,7,8]=>[8,7,6,3,10,2,1,4,5,9]
[6,10,5,1,2,3,9,4,7,8]=>[8,7,4,9,3,2,1,5,10,6]
[6,7,10,1,2,3,4,9,5,8]=>[8,5,9,4,3,2,1,10,7,6]
[9,7,8,1,2,3,4,5,10,6]=>[6,10,5,4,3,2,1,8,7,9]
[10,3,4,9,1,2,5,6,7,8]=>[8,7,6,5,2,1,9,4,3,10]
[10,5,4,1,9,2,3,6,7,8]=>[8,7,6,3,2,9,1,4,5,10]
[2,3,4,10,9,1,5,6,7,8]=>[8,7,6,5,1,9,10,4,3,2]
[6,9,5,1,2,10,3,4,7,8]=>[8,7,4,3,10,2,1,5,9,6]
[5,3,4,1,9,10,2,6,7,8]=>[8,7,6,2,10,9,1,4,3,5]
[6,7,10,1,2,3,9,4,5,8]=>[8,5,4,9,3,2,1,10,7,6]
[6,5,4,1,2,10,9,3,7,8]=>[8,7,3,9,10,2,1,4,5,6]
[10,7,8,1,2,3,4,9,5,6]=>[6,5,9,4,3,2,1,8,7,10]
[6,7,5,1,2,3,10,9,4,8]=>[8,4,9,10,3,2,1,5,7,6]
[9,8,7,6,5,3,2,4,1,10]=>[10,1,4,2,3,5,6,7,8,9]
[9,8,7,6,3,5,4,1,10,2]=>[2,10,1,4,5,3,6,7,8,9]
[7,9,10,6,2,5,1,4,3,8]=>[8,3,4,1,5,2,6,10,9,7]
[2,9,8,7,6,4,1,5,10,3]=>[3,10,5,1,4,6,7,8,9,2]
[8,10,7,6,3,2,5,4,1,9]=>[9,1,4,5,2,3,6,7,10,8]
[2,3,4,5,9,6,7,8,10,1]=>[1,10,8,7,6,9,5,4,3,2]
[2,3,4,5,8,6,7,9,10,1]=>[1,10,9,7,6,8,5,4,3,2]
[10,9,8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8,9,10]
[10,9,8,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,8,9,10]
[10,9,8,7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7,8,9,10]
[10,9,8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8,9,10]
[10,9,8,5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5,8,9,10]
[9,6,10,5,8,2,7,1,3,4]=>[4,3,1,7,2,8,5,10,6,9]
[10,7,4,8,3,6,9,1,2,5]=>[5,2,1,9,6,3,8,4,7,10]
[10,9,6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6,9,10]
[10,9,6,4,7,1,2,3,5,8]=>[8,5,3,2,1,7,4,6,9,10]
[8,10,4,9,3,6,7,1,2,5]=>[5,2,1,7,6,3,9,4,10,8]
[9,7,8,10,4,5,6,1,2,3]=>[3,2,1,6,5,4,10,8,7,9]
[9,7,10,4,8,1,2,3,5,6]=>[6,5,3,2,1,8,4,10,7,9]
[10,8,5,6,7,9,1,2,3,4]=>[4,3,2,1,9,7,6,5,8,10]
[10,7,3,5,8,1,2,4,6,9]=>[9,6,4,2,1,8,5,3,7,10]
[10,7,5,8,1,2,3,4,6,9]=>[9,6,4,3,2,1,8,5,7,10]
[5,8,10,2,7,9,1,3,4,6]=>[6,4,3,1,9,7,2,10,8,5]
[6,9,4,5,8,10,1,2,3,7]=>[7,3,2,1,10,8,5,4,9,6]
[5,8,3,6,9,1,2,4,7,10]=>[10,7,4,2,1,9,6,3,8,5]
[8,10,5,9,1,2,3,4,6,7]=>[7,6,4,3,2,1,9,5,10,8]
[8,2,4,6,9,1,3,5,7,10]=>[10,7,5,3,1,9,6,4,2,8]
[8,4,6,9,1,2,3,5,7,10]=>[10,7,5,3,2,1,9,6,4,8]
[8,1,6,7,9,10,2,3,4,5]=>[5,4,3,2,10,9,7,6,1,8]
[9,1,6,7,8,10,2,3,4,5]=>[5,4,3,2,10,8,7,6,1,9]
[9,1,5,7,8,10,2,3,4,6]=>[6,4,3,2,10,8,7,5,1,9]
[8,1,4,7,9,10,2,3,5,6]=>[6,5,3,2,10,9,7,4,1,8]
[7,1,3,8,9,10,2,4,5,6]=>[6,5,4,2,10,9,8,3,1,7]
[8,3,1,2,4,5,6,10,7,9]=>[9,7,10,6,5,4,2,1,3,8]
[10,8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8,10]
[10,9,7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7,9,10]
[10,9,8,6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6,8,9,10]
[10,9,8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8,9,10]
[10,9,8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8,9,10]
[9,8,10,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,10,8,9]
[10,7,8,9,6,1,5,4,3,2]=>[2,3,4,5,1,6,9,8,7,10]
[10,9,1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1,9,10]
[10,1,9,5,8,6,7,4,3,2]=>[2,3,4,7,6,8,5,9,1,10]
[1,10,9,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,9,10,1]
[10,9,8,7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7,8,9,10]
[10,9,8,7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7,8,9,10]
[5,4,1,10,9,8,7,6,3,2]=>[2,3,6,7,8,9,10,1,4,5]
[5,6,4,10,3,7,2,8,1,9]=>[9,1,8,2,7,3,10,4,6,5]
[5,4,10,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,10,4,5]
[5,4,6,3,10,7,2,8,1,9]=>[9,1,8,2,7,10,3,6,4,5]
[3,5,7,10,1,2,4,6,8,9]=>[9,8,6,4,2,1,10,7,5,3]
[5,7,9,10,1,2,3,4,6,8]=>[8,6,4,3,2,1,10,9,7,5]
[10,9,8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8,9,10]
[10,9,8,4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4,8,9,10]
[10,9,8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8,9,10]
[10,9,5,4,8,2,7,1,3,6]=>[6,3,1,7,2,8,4,5,9,10]
[10,9,8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8,9,10]
[10,9,8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8,9,10]
[6,5,10,4,9,2,8,1,3,7]=>[7,3,1,8,2,9,4,10,5,6]
[10,6,3,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,3,6,10]
[10,6,5,9,2,8,1,3,4,7]=>[7,4,3,1,8,2,9,5,6,10]
[10,9,4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4,9,10]
[10,9,6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6,9,10]
[7,10,3,6,2,5,9,1,4,8]=>[8,4,1,9,5,2,6,3,10,7]
[7,10,6,9,2,5,1,3,4,8]=>[8,4,3,1,5,2,9,6,10,7]
[7,4,10,2,6,9,1,3,5,8]=>[8,5,3,1,9,6,2,10,4,7]
[7,6,10,2,9,1,3,4,5,8]=>[8,5,4,3,1,9,2,10,6,7]
[10,3,2,5,7,9,1,4,6,8]=>[8,6,4,1,9,7,5,2,3,10]
[10,5,2,7,9,1,3,4,6,8]=>[8,6,4,3,1,9,7,2,5,10]
[10,7,2,9,1,3,4,5,6,8]=>[8,6,5,4,3,1,9,2,7,10]
[5,8,10,2,4,7,1,3,6,9]=>[9,6,3,1,7,4,2,10,8,5]
[3,8,2,5,7,10,1,4,6,9]=>[9,6,4,1,10,7,5,2,8,3]
[5,8,2,7,10,1,3,4,6,9]=>[9,6,4,3,1,10,7,2,8,5]
[8,10,2,7,1,3,4,5,6,9]=>[9,6,5,4,3,1,7,2,10,8]
[6,2,8,10,1,3,4,5,7,9]=>[9,7,5,4,3,1,10,8,2,6]
[8,2,10,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,10,2,8]
[2,5,7,9,1,3,4,6,8,10]=>[10,8,6,4,3,1,9,7,5,2]
[2,7,9,1,3,4,5,6,8,10]=>[10,8,6,5,4,3,1,9,7,2]
[8,6,5,4,3,10,2,9,1,7]=>[7,1,9,2,10,3,4,5,6,8]
[8,6,5,4,3,2,10,1,7,9]=>[9,7,1,10,2,3,4,5,6,8]
[7,5,4,10,3,9,2,8,1,6]=>[6,1,8,2,9,3,10,4,5,7]
[7,5,4,3,2,9,10,1,6,8]=>[8,6,1,10,9,2,3,4,5,7]
[7,5,4,3,2,9,1,6,8,10]=>[10,8,6,1,9,2,3,4,5,7]
[6,4,10,3,8,2,7,1,5,9]=>[9,5,1,7,2,8,3,10,4,6]
[6,4,3,9,2,7,10,1,5,8]=>[8,5,1,10,7,2,9,3,4,6]
[6,4,3,9,2,7,1,5,8,10]=>[10,8,5,1,7,2,9,3,4,6]
[6,4,3,2,8,10,1,5,7,9]=>[9,7,5,1,10,8,2,3,4,6]
[6,4,3,2,8,1,5,7,9,10]=>[10,9,7,5,1,8,2,3,4,6]
[5,9,3,7,2,6,10,1,4,8]=>[8,4,1,10,6,2,7,3,9,5]
[5,9,3,7,2,6,1,4,8,10]=>[10,8,4,1,6,2,7,3,9,5]
[5,3,8,10,2,6,9,1,4,7]=>[7,4,1,9,6,2,10,8,3,5]
[5,3,8,2,6,10,1,4,7,9]=>[9,7,4,1,10,6,2,8,3,5]
[5,3,8,2,6,1,4,7,9,10]=>[10,9,7,4,1,6,2,8,3,5]
[5,3,2,7,9,10,1,4,6,8]=>[8,6,4,1,10,9,7,2,3,5]
[5,3,2,7,9,1,4,6,8,10]=>[10,8,6,4,1,9,7,2,3,5]
[5,3,2,7,1,4,6,8,9,10]=>[10,9,8,6,4,1,7,2,3,5]
[4,7,10,2,5,8,1,3,6,9]=>[9,6,3,1,8,5,2,10,7,4]
[4,7,2,5,9,10,1,3,6,8]=>[8,6,3,1,10,9,5,2,7,4]
[4,7,2,5,9,1,3,6,8,10]=>[10,8,6,3,1,9,5,2,7,4]
[4,7,2,5,1,3,6,8,9,10]=>[10,9,8,6,3,1,5,2,7,4]
[4,2,6,8,1,3,5,7,9,10]=>[10,9,7,5,3,1,8,6,2,4]
[4,2,6,1,3,5,7,8,9,10]=>[10,9,8,7,5,3,1,6,2,4]
[2,3,4,5,9,7,1,6,10,8]=>[8,10,6,1,7,9,5,4,3,2]
[2,4,1,5,6,10,8,9,3,7]=>[7,3,9,8,10,6,5,1,4,2]
[2,3,8,5,6,1,4,9,10,7]=>[7,10,9,4,1,6,5,8,3,2]
[2,3,5,1,10,7,8,9,4,6]=>[6,4,9,8,7,10,1,5,3,2]
[7,8,9,10,2,4,6,1,3,5]=>[5,3,1,6,4,2,10,9,8,7]
[4,8,9,1,2,5,10,3,6,7]=>[7,6,3,10,5,2,1,9,8,4]
[4,7,8,9,1,5,10,2,6,3]=>[3,6,2,10,5,1,9,8,7,4]
[7,8,9,10,3,5,4,6,1,2]=>[2,1,6,4,5,3,10,9,8,7]
[7,8,9,10,1,5,2,6,4,3]=>[3,4,6,2,5,1,10,9,8,7]
[5,8,9,2,4,10,3,7,1,6]=>[6,1,7,3,10,4,2,9,8,5]
[4,5,7,8,3,9,10,6,2,1]=>[1,2,6,10,9,3,8,7,5,4]
[8,9,10,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,10,9,8]
[6,10,1,3,5,9,2,7,4,8]=>[8,4,7,2,9,5,3,1,10,6]
[4,6,9,3,5,8,10,7,2,1]=>[1,2,7,10,8,5,3,9,6,4]
[3,6,9,2,8,1,5,10,7,4]=>[4,7,10,5,1,8,2,9,6,3]
[5,8,10,3,6,9,4,7,2,1]=>[1,2,7,4,9,6,3,10,8,5]
[6,8,10,3,9,5,4,7,2,1]=>[1,2,7,4,5,9,3,10,8,6]
[3,6,2,4,9,5,7,10,8,1]=>[1,8,10,7,5,9,4,2,6,3]
[2,9,1,7,3,5,4,6,10,8]=>[8,10,6,4,5,3,7,1,9,2]
[6,7,2,4,10,5,9,3,8,1]=>[1,8,3,9,5,10,4,2,7,6]
[9,10,2,6,7,5,4,3,8,1]=>[1,8,3,4,5,7,6,2,10,9]
[5,10,2,7,4,9,6,3,8,1]=>[1,8,3,6,9,4,7,2,10,5]
[7,10,2,9,4,5,6,3,8,1]=>[1,8,3,6,5,4,9,2,10,7]
[10,1,8,3,6,5,4,7,2,9]=>[9,2,7,4,5,6,3,8,1,10]
[10,1,8,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,8,1,10]
[9,10,4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4,10,9]
[8,9,10,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,10,9,8]
[8,9,4,5,6,3,1,2,7,10]=>[10,7,2,1,3,6,5,4,9,8]
[7,8,9,5,4,1,2,3,6,10]=>[10,6,3,2,1,4,5,9,8,7]
[10,8,4,5,3,1,6,2,7,9]=>[9,7,2,6,1,3,5,4,8,10]
[7,8,4,5,3,1,2,6,9,10]=>[10,9,6,2,1,3,5,4,8,7]
[10,7,8,4,1,3,6,2,5,9]=>[9,5,2,6,3,1,4,8,7,10]
[6,7,8,4,1,2,3,5,9,10]=>[10,9,5,3,2,1,4,8,7,6]
[9,10,4,3,1,5,7,2,8,6]=>[6,8,2,7,5,1,3,4,10,9]
[9,7,4,3,1,5,2,6,8,10]=>[10,8,6,2,5,1,3,4,7,9]
[6,7,4,3,1,2,5,8,9,10]=>[10,9,8,5,2,1,3,4,7,6]
[8,9,3,1,4,6,2,7,5,10]=>[10,5,7,2,6,4,1,3,9,8]
[10,6,3,1,4,2,5,8,7,9]=>[9,7,8,5,2,4,1,3,6,10]
[8,6,3,1,4,2,5,7,9,10]=>[10,9,7,5,2,4,1,3,6,8]
[5,6,3,1,2,4,7,8,9,10]=>[10,9,8,7,4,2,1,3,6,5]
[10,8,6,4,9,2,7,5,3,1]=>[1,3,5,7,2,9,4,6,8,10]
[1,3,2,6,5,9,8,10,7,4]=>[4,7,10,8,9,5,6,2,3,1]
[1,3,5,6,4,2,9,8,10,7]=>[7,10,8,9,2,4,6,5,3,1]
[1,3,6,4,2,9,8,10,7,5]=>[5,7,10,8,9,2,4,6,3,1]
[1,6,4,3,9,8,10,7,5,2]=>[2,5,7,10,8,9,3,4,6,1]
[1,3,9,7,4,2,6,10,8,5]=>[5,8,10,6,2,4,7,9,3,1]
[1,9,7,4,3,6,10,8,5,2]=>[2,5,8,10,6,3,4,7,9,1]
[3,2,1,5,6,4,9,8,10,7]=>[7,10,8,9,4,6,5,1,2,3]
[3,2,1,6,5,9,8,10,7,4]=>[4,7,10,8,9,5,6,1,2,3]
[5,6,4,2,1,3,9,8,10,7]=>[7,10,8,9,3,1,2,4,6,5]
[6,4,2,1,3,9,8,10,7,5]=>[5,7,10,8,9,3,1,2,4,6]
[6,4,9,8,10,7,5,2,1,3]=>[3,1,2,5,7,10,8,9,4,6]
[9,7,4,2,1,3,6,10,8,5]=>[5,8,10,6,3,1,2,4,7,9]
[9,7,4,6,10,8,5,2,1,3]=>[3,1,2,5,8,10,6,4,7,9]
[5,6,4,2,3,1,9,8,10,7]=>[7,10,8,9,1,3,2,4,6,5]
[6,4,2,3,1,9,8,10,7,5]=>[5,7,10,8,9,1,3,2,4,6]
[6,2,3,1,9,8,10,7,5,4]=>[4,5,7,10,8,9,1,3,2,6]
[3,6,2,9,8,10,7,5,4,1]=>[1,4,5,7,10,8,9,2,6,3]
[9,7,4,2,3,1,6,10,8,5]=>[5,8,10,6,1,3,2,4,7,9]
[9,7,2,3,1,6,10,8,5,4]=>[4,5,8,10,6,1,3,2,7,9]
[3,9,7,2,6,10,8,5,4,1]=>[1,4,5,8,10,6,2,7,9,3]
[6,4,5,2,1,3,9,8,10,7]=>[7,10,8,9,3,1,2,5,4,6]
[9,8,10,7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7,10,8,9]
[5,9,8,10,7,4,6,2,1,3]=>[3,1,2,6,4,7,10,8,9,5]
[9,7,10,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,10,7,9]
[5,9,7,10,8,4,6,2,1,3]=>[3,1,2,6,4,8,10,7,9,5]
[6,4,5,2,3,1,9,8,10,7]=>[7,10,8,9,1,3,2,5,4,6]
[9,8,10,7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7,10,8,9]
[5,9,8,10,7,2,3,1,6,4]=>[4,6,1,3,2,7,10,8,9,5]
[3,5,9,8,10,7,2,6,4,1]=>[1,4,6,2,7,10,8,9,5,3]
[9,7,10,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,10,7,9]
[5,9,7,10,8,2,3,1,6,4]=>[4,6,1,3,2,8,10,7,9,5]
[3,5,9,7,10,8,2,6,4,1]=>[1,4,6,2,8,10,7,9,5,3]
[6,2,3,1,9,5,10,8,7,4]=>[4,7,8,10,5,9,1,3,2,6]
[3,6,2,9,5,10,8,7,4,1]=>[1,4,7,8,10,5,9,2,6,3]
[8,10,7,9,4,5,2,1,3,6]=>[6,3,1,2,5,4,9,7,10,8]
[5,8,10,7,9,4,6,2,1,3]=>[3,1,2,6,4,9,7,10,8,5]
[8,10,7,9,4,5,2,3,1,6]=>[6,1,3,2,5,4,9,7,10,8]
[5,8,10,7,9,2,3,1,6,4]=>[4,6,1,3,2,9,7,10,8,5]
[3,5,8,10,7,9,2,6,4,1]=>[1,4,6,2,9,7,10,8,5,3]
[6,2,3,1,8,10,5,9,7,4]=>[4,7,9,5,10,8,1,3,2,6]
[3,6,2,8,10,5,9,7,4,1]=>[1,4,7,9,5,10,8,2,6,3]
[6,5,9,2,7,4,10,1,8,3]=>[3,8,1,10,4,7,2,9,5,6]
[6,5,7,4,9,2,10,1,8,3]=>[3,8,1,10,2,9,4,7,5,6]
[9,2,6,8,3,5,10,1,7,4]=>[4,7,1,10,5,3,8,6,2,9]
[8,3,6,5,9,2,10,1,7,4]=>[4,7,1,10,2,9,5,6,3,8]
[6,5,9,2,8,3,10,1,7,4]=>[4,7,1,10,3,8,2,9,5,6]
[4,3,8,7,10,1,6,9,2,5]=>[5,2,9,6,1,10,7,8,3,4]
[4,7,9,2,10,1,6,8,3,5]=>[5,3,8,6,1,10,2,9,7,4]
[7,4,8,3,10,1,6,9,2,5]=>[5,2,9,6,1,10,3,8,4,7]
[9,2,8,3,10,1,6,7,4,5]=>[5,4,7,6,1,10,3,8,2,9]
[4,3,8,7,10,1,5,2,9,6]=>[6,9,2,5,1,10,7,8,3,4]
[9,2,4,7,10,1,5,3,8,6]=>[6,8,3,5,1,10,7,4,2,9]
[4,7,10,1,5,3,9,2,8,6]=>[6,8,2,9,3,5,1,10,7,4]
[9,2,7,8,3,4,10,1,5,6]=>[6,5,1,10,4,3,8,7,2,9]
[8,3,7,4,10,1,5,9,2,6]=>[6,2,9,5,1,10,4,7,3,8]
[10,5,2,3,8,9,6,1,4,7]=>[7,4,1,6,9,8,3,2,5,10]
[9,6,1,4,3,10,5,2,8,7]=>[7,8,2,5,10,3,4,1,6,9]
[3,8,10,1,4,9,5,6,2,7]=>[7,2,6,5,9,4,1,10,8,3]
[10,1,4,9,5,3,8,6,2,7]=>[7,2,6,8,3,5,9,4,1,10]
[10,1,4,5,8,9,2,3,6,7]=>[7,6,3,2,9,8,5,4,1,10]
[10,1,4,8,5,9,2,6,3,7]=>[7,3,6,2,9,5,8,4,1,10]
[9,2,5,8,3,6,10,1,4,7]=>[7,4,1,10,6,3,8,5,2,9]
[10,7,4,1,3,2,6,5,9,8]=>[8,9,5,6,2,3,1,4,7,10]
[2,7,1,3,6,9,10,4,5,8]=>[8,5,4,10,9,6,3,1,7,2]
[10,4,2,6,5,9,7,1,3,8]=>[8,3,1,7,9,5,6,2,4,10]
[6,2,7,1,3,9,5,10,4,8]=>[8,4,10,5,9,3,1,7,2,6]
[5,2,9,6,10,1,3,7,4,8]=>[8,4,7,3,1,10,6,9,2,5]
[10,1,3,6,9,4,7,2,5,8]=>[8,5,2,7,4,9,6,3,1,10]
[4,1,2,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,2,1,4]
[10,5,8,3,6,1,2,4,7,9]=>[9,7,4,2,1,6,3,8,5,10]
[8,1,2,4,6,10,3,5,7,9]=>[9,7,5,3,10,6,4,2,1,8]
[4,2,5,3,6,1,8,7,10,9]=>[9,10,7,8,1,6,3,5,2,4]
[4,2,6,3,7,5,8,1,10,9]=>[9,10,1,8,5,7,3,6,2,4]
[4,2,6,3,8,5,9,7,10,1]=>[1,10,7,9,5,8,3,6,2,4]
[4,2,6,3,7,5,1,9,8,10]=>[10,8,9,1,5,7,3,6,2,4]
[4,2,5,3,1,7,6,9,8,10]=>[10,8,9,6,7,1,3,5,2,4]
[1,2,4,3,6,7,8,9,10,5]=>[5,10,9,8,7,6,3,4,2,1]
[2,1,4,5,3,7,8,9,10,6]=>[6,10,9,8,7,3,5,4,1,2]
[1,2,4,5,3,7,8,9,10,6]=>[6,10,9,8,7,3,5,4,2,1]
[1,2,4,5,6,3,8,9,10,7]=>[7,10,9,8,3,6,5,4,2,1]
[2,3,1,5,6,4,8,9,10,7]=>[7,10,9,8,4,6,5,1,3,2]
[1,2,3,4,6,5,8,9,10,7]=>[7,10,9,8,5,6,4,3,2,1]
[4,1,2,5,10,3,6,7,8,9]=>[9,8,7,6,3,10,5,2,1,4]
[5,1,2,3,6,10,4,7,8,9]=>[9,8,7,4,10,6,3,2,1,5]
[6,1,2,3,4,7,10,5,8,9]=>[9,8,5,10,7,4,3,2,1,6]
[3,2,6,5,7,1,4,9,8,10]=>[10,8,9,4,1,7,5,6,2,3]
[3,2,4,1,6,8,9,5,7,10]=>[10,7,5,9,8,6,1,4,2,3]
[3,2,8,9,5,6,1,4,7,10]=>[10,7,4,1,6,5,9,8,2,3]
[3,2,8,5,7,9,1,4,6,10]=>[10,6,4,1,9,7,5,8,2,3]
[8,9,5,2,4,6,1,3,7,10]=>[10,7,3,1,6,4,2,5,9,8]
[8,5,2,4,7,9,1,3,6,10]=>[10,6,3,1,9,7,4,2,5,8]
[3,2,4,1,6,7,5,10,8,9]=>[9,8,10,5,7,6,1,4,2,3]
[3,2,6,5,7,1,4,10,8,9]=>[9,8,10,4,1,7,5,6,2,3]
[3,2,4,1,6,10,8,5,7,9]=>[9,7,5,8,10,6,1,4,2,3]
[3,2,10,8,5,6,1,4,7,9]=>[9,7,4,1,6,5,8,10,2,3]
[3,2,7,5,10,8,1,4,6,9]=>[9,6,4,1,8,10,5,7,2,3]
[10,8,5,2,4,6,1,3,7,9]=>[9,7,3,1,6,4,2,5,8,10]
[7,5,2,4,10,8,1,3,6,9]=>[9,6,3,1,8,10,4,2,5,7]
[3,2,4,1,6,9,5,7,10,8]=>[8,10,7,5,9,6,1,4,2,3]
[3,2,9,5,6,1,4,7,10,8]=>[8,10,7,4,1,6,5,9,2,3]
[3,2,9,5,7,1,4,6,10,8]=>[8,10,6,4,1,7,5,9,2,3]
[3,2,8,9,5,10,1,4,6,7]=>[7,6,4,1,10,5,9,8,2,3]
[9,5,2,4,6,1,3,7,10,8]=>[8,10,7,3,1,6,4,2,5,9]
[9,5,2,4,7,1,3,6,10,8]=>[8,10,6,3,1,7,4,2,5,9]
[8,9,5,2,4,10,1,3,6,7]=>[7,6,3,1,10,4,2,5,9,8]
[3,2,4,1,7,5,10,8,6,9]=>[9,6,8,10,5,7,1,4,2,3]
[3,2,7,5,1,4,10,8,6,9]=>[9,6,8,10,4,1,5,7,2,3]
[3,2,6,7,1,4,10,8,5,9]=>[9,5,8,10,4,1,7,6,2,3]
[4,2,7,5,1,3,10,8,6,9]=>[9,6,8,10,3,1,5,7,2,4]
[4,2,6,7,1,3,10,8,5,9]=>[9,5,8,10,3,1,7,6,2,4]
[3,2,4,1,7,5,9,6,10,8]=>[8,10,6,9,5,7,1,4,2,3]
[3,2,7,5,1,4,9,6,10,8]=>[8,10,6,9,4,1,5,7,2,3]
[3,2,6,9,1,4,7,5,10,8]=>[8,10,5,7,4,1,9,6,2,3]
[3,2,6,8,9,1,4,10,5,7]=>[7,5,10,4,1,9,8,6,2,3]
[4,2,7,5,1,3,9,6,10,8]=>[8,10,6,9,3,1,5,7,2,4]
[4,2,6,9,1,3,7,5,10,8]=>[8,10,5,7,3,1,9,6,2,4]
[4,2,6,8,9,1,3,10,5,7]=>[7,5,10,3,1,9,8,6,2,4]
[9,5,6,2,7,1,3,4,10,8]=>[8,10,4,3,1,7,2,6,5,9]
[8,9,5,6,2,10,1,3,4,7]=>[7,4,3,1,10,2,6,5,9,8]
[3,4,1,7,5,2,10,8,6,9]=>[9,6,8,10,2,5,7,1,4,3]
[3,4,1,6,7,2,10,8,5,9]=>[9,5,8,10,2,7,6,1,4,3]
[3,4,1,7,5,2,9,6,10,8]=>[8,10,6,9,2,5,7,1,4,3]
[3,4,1,6,9,2,7,5,10,8]=>[8,10,5,7,2,9,6,1,4,3]
[3,4,1,6,8,9,2,10,5,7]=>[7,5,10,2,9,8,6,1,4,3]
[3,9,5,6,1,7,2,4,10,8]=>[8,10,4,2,7,1,6,5,9,3]
[3,5,7,9,10,8,6,4,1,2]=>[2,1,4,6,8,10,9,7,5,3]
[1,7,4,2,3,5,6,8,9,10]=>[10,9,8,6,5,3,2,4,7,1]
[1,4,2,3,5,9,7,6,8,10]=>[10,8,6,7,9,5,3,2,4,1]
[1,6,5,9,7,4,2,3,8,10]=>[10,8,3,2,4,7,9,5,6,1]
[1,6,4,2,5,9,7,3,8,10]=>[10,8,3,7,9,5,2,4,6,1]
[1,9,6,4,2,5,8,7,3,10]=>[10,3,7,8,5,2,4,6,9,1]
[1,7,4,2,3,5,6,8,10,9]=>[9,10,8,6,5,3,2,4,7,1]
[1,4,2,3,5,8,10,9,7,6]=>[6,7,9,10,8,5,3,2,4,1]
[1,6,5,8,10,9,7,4,2,3]=>[3,2,4,7,9,10,8,5,6,1]
[1,8,10,9,6,5,7,4,2,3]=>[3,2,4,7,5,6,9,10,8,1]
[1,6,4,2,5,8,10,9,7,3]=>[3,7,9,10,8,5,2,4,6,1]
[1,8,10,9,6,4,2,5,7,3]=>[3,7,5,2,4,6,9,10,8,1]
[1,4,2,3,5,10,8,9,7,6]=>[6,7,9,8,10,5,3,2,4,1]
[1,6,5,10,8,9,7,4,2,3]=>[3,2,4,7,9,8,10,5,6,1]
[1,7,4,2,3,5,10,8,9,6]=>[6,9,8,10,5,3,2,4,7,1]
[1,10,7,4,2,3,5,9,6,8]=>[8,6,9,5,3,2,4,7,10,1]
[1,6,4,2,5,10,8,9,7,3]=>[3,7,9,8,10,5,2,4,6,1]
[1,7,3,2,5,10,8,9,6,4]=>[4,6,9,8,10,5,2,3,7,1]
[1,10,7,3,2,5,9,6,4,8]=>[8,4,6,9,5,2,3,7,10,1]
[1,4,2,3,5,8,10,9,6,7]=>[7,6,9,10,8,5,3,2,4,1]
[1,5,8,10,9,6,7,4,2,3]=>[3,2,4,7,6,9,10,8,5,1]
[1,8,10,9,5,7,4,2,3,6]=>[6,3,2,4,7,5,9,10,8,1]
[1,5,8,10,9,6,7,3,2,4]=>[4,2,3,7,6,9,10,8,5,1]
[1,8,10,9,5,7,3,2,4,6]=>[6,4,2,3,7,5,9,10,8,1]
[1,5,10,8,9,6,7,4,2,3]=>[3,2,4,7,6,9,8,10,5,1]
[1,5,10,8,9,6,7,3,2,4]=>[4,2,3,7,6,9,8,10,5,1]
[1,7,3,2,4,5,10,8,9,6]=>[6,9,8,10,5,4,2,3,7,1]
[1,10,7,3,2,4,5,9,6,8]=>[8,6,9,5,4,2,3,7,10,1]
[1,7,3,2,6,5,10,8,9,4]=>[4,9,8,10,5,6,2,3,7,1]
[1,10,7,3,2,6,5,9,4,8]=>[8,4,9,5,6,2,3,7,10,1]
[1,5,8,10,9,6,7,2,4,3]=>[3,4,2,7,6,9,10,8,5,1]
[1,8,10,9,5,7,2,4,3,6]=>[6,3,4,2,7,5,9,10,8,1]
[1,5,10,8,9,6,7,2,4,3]=>[3,4,2,7,6,9,8,10,5,1]
[1,7,2,4,3,5,10,8,9,6]=>[6,9,8,10,5,3,4,2,7,1]
[1,10,7,2,4,3,5,9,6,8]=>[8,6,9,5,3,4,2,7,10,1]
[1,7,2,6,5,10,8,9,4,3]=>[3,4,9,8,10,5,6,2,7,1]
[9,7,6,5,8,4,3,2,1,10]=>[10,1,2,3,4,8,5,6,7,9]
[9,8,6,5,7,4,3,2,1,10]=>[10,1,2,3,4,7,5,6,8,9]
[8,9,1,2,10,3,7,4,6,5]=>[5,6,4,7,3,10,2,1,9,8]
[10,1,7,8,2,3,9,4,6,5]=>[5,6,4,9,3,2,8,7,1,10]
[6,9,1,8,2,3,10,4,7,5]=>[5,7,4,10,3,2,8,1,9,6]
[6,7,8,1,2,3,10,4,9,5]=>[5,9,4,10,3,2,1,8,7,6]
[10,1,9,2,6,7,3,4,8,5]=>[5,8,4,3,7,6,2,9,1,10]
[8,9,1,2,6,7,3,4,10,5]=>[5,10,4,3,7,6,2,1,9,8]
[10,1,5,8,2,7,3,4,9,6]=>[6,9,4,3,7,2,8,5,1,10]
[4,9,1,8,2,7,3,5,10,6]=>[6,10,5,3,7,2,8,1,9,4]
[4,7,8,1,2,9,3,5,10,6]=>[6,10,5,3,9,2,1,8,7,4]
[10,1,5,6,7,2,3,4,9,8]=>[8,9,4,3,2,7,6,5,1,10]
[4,9,1,6,7,2,3,5,10,8]=>[8,10,5,3,2,7,6,1,9,4]
[4,5,8,1,7,2,3,6,10,9]=>[9,10,6,3,2,7,1,8,5,4]
[4,5,6,7,1,2,3,8,10,9]=>[9,10,8,3,2,1,7,6,5,4]
[10,1,9,2,8,3,5,6,4,7]=>[7,4,6,5,3,8,2,9,1,10]
[8,9,1,2,10,3,5,6,4,7]=>[7,4,6,5,3,10,2,1,9,8]
[10,1,7,8,2,3,5,6,4,9]=>[9,4,6,5,3,2,8,7,1,10]
[6,9,1,8,2,3,5,7,4,10]=>[10,4,7,5,3,2,8,1,9,6]
[6,7,8,1,2,3,5,9,4,10]=>[10,4,9,5,3,2,1,8,7,6]
[10,1,9,2,4,7,3,6,5,8]=>[8,5,6,3,7,4,2,9,1,10]
[8,9,1,2,4,7,3,6,5,10]=>[10,5,6,3,7,4,2,1,9,8]
[10,1,3,8,2,7,4,6,5,9]=>[9,5,6,4,7,2,8,3,1,10]
[2,7,8,1,3,9,4,6,5,10]=>[10,5,6,4,9,3,1,8,7,2]
[10,1,3,6,7,2,4,8,5,9]=>[9,5,8,4,2,7,6,3,1,10]
[2,9,1,6,7,3,4,8,5,10]=>[10,5,8,4,3,7,6,1,9,2]
[2,5,8,1,7,3,4,9,6,10]=>[10,6,9,4,3,7,1,8,5,2]
[2,5,6,7,1,3,4,9,8,10]=>[10,8,9,4,3,1,7,6,5,2]
[10,1,9,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,9,1,10]
[8,9,1,2,4,5,6,3,7,10]=>[10,7,3,6,5,4,2,1,9,8]
[10,1,3,8,2,5,6,4,7,9]=>[9,7,4,6,5,2,8,3,1,10]
[2,9,1,8,3,5,6,4,7,10]=>[10,7,4,6,5,3,8,1,9,2]
[2,7,8,1,3,5,6,4,9,10]=>[10,9,4,6,5,3,1,8,7,2]
[10,1,3,4,7,2,6,5,8,9]=>[9,8,5,6,2,7,4,3,1,10]
[2,9,1,4,7,3,6,5,8,10]=>[10,8,5,6,3,7,4,1,9,2]
[2,3,8,1,7,4,6,5,9,10]=>[10,9,5,6,4,7,1,8,3,2]
[2,3,6,7,1,4,8,5,9,10]=>[10,9,5,8,4,1,7,6,3,2]
[10,1,3,4,5,6,2,7,8,9]=>[9,8,7,2,6,5,4,3,1,10]
[2,9,1,4,5,6,3,7,8,10]=>[10,8,7,3,6,5,4,1,9,2]
[2,3,8,1,5,6,4,7,9,10]=>[10,9,7,4,6,5,1,8,3,2]
[2,3,4,7,1,6,5,8,9,10]=>[10,9,8,5,6,1,7,4,3,2]
[10,9,1,2,8,7,3,4,6,5]=>[5,6,4,3,7,8,2,1,9,10]
[10,1,2,9,8,7,3,4,6,5]=>[5,6,4,3,7,8,9,2,1,10]
[10,9,1,2,8,3,4,7,6,5]=>[5,6,7,4,3,8,2,1,9,10]
[10,1,2,9,8,3,4,7,6,5]=>[5,6,7,4,3,8,9,2,1,10]
[10,1,2,9,3,4,8,7,6,5]=>[5,6,7,8,4,3,9,2,1,10]
[10,9,1,2,8,7,3,6,4,5]=>[5,4,6,3,7,8,2,1,9,10]
[10,1,2,9,8,7,3,6,4,5]=>[5,4,6,3,7,8,9,2,1,10]
[10,9,1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1,9,10]
[10,1,2,9,8,3,7,6,4,5]=>[5,4,6,7,3,8,9,2,1,10]
[10,1,2,9,3,8,7,6,4,5]=>[5,4,6,7,8,3,9,2,1,10]
[10,9,1,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,1,9,10]
[10,1,2,9,8,3,7,4,6,5]=>[5,6,4,7,3,8,9,2,1,10]
[10,1,2,9,3,8,7,4,6,5]=>[5,6,4,7,8,3,9,2,1,10]
[10,1,2,9,3,8,4,7,6,5]=>[5,6,7,4,8,3,9,2,1,10]
[10,9,1,8,7,2,3,4,6,5]=>[5,6,4,3,2,7,8,1,9,10]
[10,1,9,8,7,2,3,4,6,5]=>[5,6,4,3,2,7,8,9,1,10]
[10,9,1,8,2,3,4,7,6,5]=>[5,6,7,4,3,2,8,1,9,10]
[10,1,9,8,2,3,4,7,6,5]=>[5,6,7,4,3,2,8,9,1,10]
[10,1,9,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,9,1,10]
[10,9,1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1,9,10]
[10,1,9,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,9,1,10]
[10,9,1,8,2,3,7,6,4,5]=>[5,4,6,7,3,2,8,1,9,10]
[10,1,9,8,2,3,7,6,4,5]=>[5,4,6,7,3,2,8,9,1,10]
[10,1,9,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,9,1,10]
[10,9,1,8,2,3,7,4,6,5]=>[5,6,4,7,3,2,8,1,9,10]
[10,1,9,8,2,3,7,4,6,5]=>[5,6,4,7,3,2,8,9,1,10]
[10,1,9,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,9,1,10]
[10,1,9,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,9,1,10]
[10,9,1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1,9,10]
[10,1,9,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,9,1,10]
[10,9,1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1,9,10]
[10,1,9,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,9,1,10]
[10,1,9,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,9,1,10]
[10,9,1,8,2,7,3,4,6,5]=>[5,6,4,3,7,2,8,1,9,10]
[10,1,9,8,2,7,3,4,6,5]=>[5,6,4,3,7,2,8,9,1,10]
[10,1,9,2,8,7,3,4,6,5]=>[5,6,4,3,7,8,2,9,1,10]
[10,1,9,2,8,3,4,7,6,5]=>[5,6,7,4,3,8,2,9,1,10]
[10,1,9,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,9,1,10]
[10,1,9,2,8,7,3,6,4,5]=>[5,4,6,3,7,8,2,9,1,10]
[10,1,9,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,9,1,10]
[1,10,2,9,3,8,4,6,5,7]=>[7,5,6,4,8,3,9,2,10,1]
[4,3,5,2,6,1,8,9,7,10]=>[10,7,9,8,1,6,2,5,3,4]
[4,3,5,2,6,1,8,7,9,10]=>[10,9,7,8,1,6,2,5,3,4]
[3,4,2,5,1,8,7,9,6,10]=>[10,6,9,7,8,1,5,2,4,3]
[3,4,2,5,1,7,8,6,10,9]=>[9,10,6,8,7,1,5,2,4,3]
[3,4,2,5,1,7,8,6,9,10]=>[10,9,6,8,7,1,5,2,4,3]
[3,4,2,5,1,7,6,8,9,10]=>[10,9,8,6,7,1,5,2,4,3]
[3,2,4,1,7,6,8,5,9,10]=>[10,9,5,8,6,7,1,4,2,3]
[3,2,4,1,6,7,5,9,10,8]=>[8,10,9,5,7,6,1,4,2,3]
[3,2,4,1,6,7,5,8,9,10]=>[10,9,8,5,7,6,1,4,2,3]
[3,2,4,1,6,5,8,7,9,10]=>[10,9,7,8,5,6,1,4,2,3]
[3,2,4,1,6,5,7,8,9,10]=>[10,9,8,7,5,6,1,4,2,3]
[3,7,4,8,5,9,10,6,2,1]=>[1,2,6,10,9,5,8,4,7,3]
[3,7,4,8,5,2,1,9,10,6]=>[6,10,9,1,2,5,8,4,7,3]
[5,8,6,9,10,1,3,7,4,2]=>[2,4,7,3,1,10,9,6,8,5]
[3,7,4,2,1,8,5,9,10,6]=>[6,10,9,5,8,1,2,4,7,3]
[5,8,1,3,6,9,10,7,4,2]=>[2,4,7,10,9,6,3,1,8,5]
[5,8,6,1,3,4,2,9,10,7]=>[7,10,9,2,4,3,1,6,8,5]
[7,9,10,1,4,2,5,8,6,3]=>[3,6,8,5,2,4,1,10,9,7]
[7,9,10,3,5,8,6,4,2,1]=>[1,2,4,6,8,5,3,10,9,7]
[5,8,6,4,3,2,1,9,10,7]=>[7,10,9,1,2,3,4,6,8,5]
[7,9,10,3,2,1,5,8,6,4]=>[4,6,8,5,1,2,3,10,9,7]
[7,9,10,8,1,3,6,5,4,2]=>[2,4,5,6,3,1,8,10,9,7]
[3,2,1,7,4,8,5,9,10,6]=>[6,10,9,5,8,4,7,1,2,3]
[1,3,5,8,6,9,10,7,4,2]=>[2,4,7,10,9,6,8,5,3,1]
[1,3,5,8,6,4,2,9,10,7]=>[7,10,9,2,4,6,8,5,3,1]
[1,4,7,9,10,2,5,8,6,3]=>[3,6,8,5,2,10,9,7,4,1]
[5,1,3,4,2,8,6,9,10,7]=>[7,10,9,6,8,2,4,3,1,5]
[4,2,6,3,7,9,10,8,5,1]=>[1,5,8,10,9,7,3,6,2,4]
[7,1,4,2,5,6,3,9,10,8]=>[8,10,9,3,6,5,2,4,1,7]
[10,1,5,2,6,3,7,9,8,4]=>[4,8,9,7,3,6,2,5,1,10]
[10,3,6,4,7,9,8,5,2,1]=>[1,2,5,8,9,7,4,6,3,10]
[7,3,5,6,4,2,1,9,10,8]=>[8,10,9,1,2,4,6,5,3,7]
[10,3,6,4,2,1,7,9,8,5]=>[5,8,9,7,1,2,4,6,3,10]
[10,5,7,9,1,3,8,6,4,2]=>[2,4,6,8,3,1,9,7,5,10]
[10,5,7,9,8,6,4,3,2,1]=>[1,2,3,4,6,8,9,7,5,10]
[5,4,3,2,1,8,6,9,10,7]=>[7,10,9,6,8,1,2,3,4,5]
[7,3,2,1,5,6,4,9,10,8]=>[8,10,9,4,6,5,1,2,3,7]
[10,3,2,1,6,4,7,9,8,5]=>[5,8,9,7,4,6,1,2,3,10]
[10,1,3,5,7,9,8,6,4,2]=>[2,4,6,8,9,7,5,3,1,10]
[7,6,1,3,5,4,2,9,10,8]=>[8,10,9,2,4,5,3,1,6,7]
[10,5,1,3,4,2,7,9,8,6]=>[6,8,9,7,2,4,3,1,5,10]
[10,9,1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1,9,10]
[10,9,3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3,9,10]
[10,5,4,3,2,1,7,9,8,6]=>[6,8,9,7,1,2,3,4,5,10]
[10,9,3,2,1,5,8,7,6,4]=>[4,6,7,8,5,1,2,3,9,10]
[10,9,8,1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1,8,9,10]
[10,8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8,10]
[9,10,3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3,10,9]
[9,3,4,5,6,7,8,10,2,1]=>[1,2,10,8,7,6,5,4,3,9]
[9,8,10,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,10,8,9]
[9,8,2,3,4,5,6,7,10,1]=>[1,10,7,6,5,4,3,2,8,9]
[8,2,3,4,5,6,10,9,1,7]=>[7,1,9,10,6,5,4,3,2,8]
[7,2,3,4,5,10,8,1,9,6]=>[6,9,1,8,10,5,4,3,2,7]
[10,2,3,4,7,1,5,8,9,6]=>[6,9,8,5,1,7,4,3,2,10]
[5,2,3,10,6,1,7,8,9,4]=>[4,9,8,7,1,6,10,3,2,5]
[4,2,10,5,1,6,7,8,9,3]=>[3,9,8,7,6,1,5,10,2,4]
[10,4,1,2,5,6,7,8,9,3]=>[3,9,8,7,6,5,2,1,4,10]
[2,3,4,5,8,10,7,9,1,6]=>[6,1,9,7,10,8,5,4,3,2]
[2,3,4,7,10,6,9,8,1,5]=>[5,1,8,9,6,10,7,4,3,2]
[6,3,4,7,5,8,10,9,1,2]=>[2,1,9,10,8,5,7,4,3,6]
[2,6,9,5,4,7,8,1,10,3]=>[3,10,1,8,7,4,5,9,6,2]
[2,3,8,7,5,10,4,9,1,6]=>[6,1,9,4,10,5,7,8,3,2]
[2,7,4,3,6,8,9,5,10,1]=>[1,10,5,9,8,6,3,4,7,2]
[2,3,9,4,6,7,10,8,1,5]=>[5,1,8,10,7,6,4,9,3,2]
[2,5,10,4,9,6,7,8,1,3]=>[3,1,8,7,6,9,4,10,5,2]
[2,6,3,5,9,1,8,10,4,7]=>[7,4,10,8,1,9,5,3,6,2]
[7,3,2,8,6,5,9,4,10,1]=>[1,10,4,9,5,6,8,2,3,7]
[5,9,3,8,7,6,10,4,2,1]=>[1,2,4,10,6,7,8,3,9,5]
[2,9,3,5,10,6,7,8,1,4]=>[4,1,8,7,6,10,5,3,9,2]
[6,10,3,8,5,9,7,4,1,2]=>[2,1,4,7,9,5,8,3,10,6]
[4,10,3,9,5,6,7,8,1,2]=>[2,1,8,7,6,5,9,3,10,4]
[4,5,7,9,1,6,2,10,8,3]=>[3,8,10,2,6,1,9,7,5,4]
[4,5,6,9,1,2,7,3,8,10]=>[10,8,3,7,2,1,9,6,5,4]
[5,6,9,4,1,8,2,10,7,3]=>[3,7,10,2,8,1,4,9,6,5]
[4,6,8,1,5,2,9,7,3,10]=>[10,3,7,9,2,5,1,8,6,4]
[4,5,10,1,2,6,8,7,3,9]=>[9,3,7,8,6,2,1,10,5,4]
[4,5,8,1,2,6,3,7,9,10]=>[10,9,7,3,6,2,1,8,5,4]
[5,8,4,1,7,2,9,6,3,10]=>[10,3,6,9,2,7,1,4,8,5]
[3,5,8,4,1,10,7,6,2,9]=>[9,2,6,7,10,1,4,8,5,3]
[3,5,7,4,1,8,6,2,9,10]=>[10,9,2,6,8,1,4,7,5,3]
[3,4,9,1,5,7,6,2,8,10]=>[10,8,2,6,7,5,1,9,4,3]
[3,4,7,1,5,2,6,8,9,10]=>[10,9,8,6,2,5,1,7,4,3]
[4,3,8,6,1,10,7,5,2,9]=>[9,2,5,7,10,1,6,8,3,4]
[4,3,7,6,1,8,5,2,9,10]=>[10,9,2,5,8,1,6,7,3,4]
[6,7,3,4,1,10,9,5,8,2]=>[2,8,5,9,10,1,4,3,7,6]
[4,7,3,1,9,6,5,2,8,10]=>[10,8,2,5,6,9,1,3,7,4]
[4,6,3,1,7,5,2,8,9,10]=>[10,9,8,2,5,7,1,3,6,4]
[3,10,1,4,8,6,5,7,2,9]=>[9,2,7,5,6,8,4,1,10,3]
[3,8,1,4,6,5,2,7,9,10]=>[10,9,7,2,5,6,4,1,8,3]
[3,6,1,4,2,5,7,8,9,10]=>[10,9,8,7,5,2,4,1,6,3]
[6,5,3,1,9,8,4,7,2,10]=>[10,2,7,4,8,9,1,3,5,6]
[8,3,1,10,5,6,4,7,2,9]=>[9,2,7,4,6,5,10,1,3,8]
[6,3,1,8,5,4,2,7,9,10]=>[10,9,7,2,4,5,8,1,3,6]
[2,9,3,7,5,4,6,1,8,10]=>[10,8,1,6,4,5,7,3,9,2]
[2,7,3,5,4,1,6,8,9,10]=>[10,9,8,6,1,4,5,3,7,2]
[8,2,6,4,3,5,1,7,9,10]=>[10,9,7,1,5,3,4,6,2,8]
[6,2,4,3,1,5,7,8,9,10]=>[10,9,8,7,5,1,3,4,2,6]
[6,4,2,10,9,8,7,5,3,1]=>[1,3,5,7,8,9,10,2,4,6]
[4,2,10,9,8,7,6,3,1,5]=>[5,1,3,6,7,8,9,10,2,4]
[5,3,1,10,9,8,7,4,2,6]=>[6,2,4,7,8,9,10,1,3,5]
[6,4,2,10,9,8,5,3,1,7]=>[7,1,3,5,8,9,10,2,4,6]
[10,9,6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6,9,10]
[10,7,5,3,1,8,6,4,2,9]=>[9,2,4,6,8,1,3,5,7,10]
[9,8,7,6,5,2,3,1,4,10]=>[10,4,1,3,2,5,6,7,8,9]
[9,8,7,6,3,4,2,1,5,10]=>[10,5,1,2,4,3,6,7,8,9]
[9,8,7,4,5,3,2,1,6,10]=>[10,6,1,2,3,5,4,7,8,9]
[9,8,5,6,4,3,2,1,7,10]=>[10,7,1,2,3,4,6,5,8,9]
[9,6,7,5,4,3,2,1,8,10]=>[10,8,1,2,3,4,5,7,6,9]
[2,4,1,6,3,10,5,7,8,9]=>[9,8,7,5,10,3,6,1,4,2]
[3,1,5,2,7,4,10,6,8,9]=>[9,8,6,10,4,7,2,5,1,3]
[2,4,1,5,10,3,6,7,8,9]=>[9,8,7,6,3,10,5,1,4,2]
[3,1,5,2,6,10,4,7,8,9]=>[9,8,7,4,10,6,2,5,1,3]
[2,4,1,6,3,7,10,5,8,9]=>[9,8,5,10,7,3,6,1,4,2]
[3,1,5,2,7,4,8,10,6,9]=>[9,6,10,8,4,7,2,5,1,3]
[2,4,1,6,3,8,5,9,10,7]=>[7,10,9,5,8,3,6,1,4,2]
[5,6,8,3,10,4,7,1,9,2]=>[2,9,1,7,4,10,3,8,6,5]
[6,8,5,3,10,4,7,1,9,2]=>[2,9,1,7,4,10,3,5,8,6]
[8,5,3,6,10,4,7,1,9,2]=>[2,9,1,7,4,10,6,3,5,8]
[8,5,3,6,10,1,7,4,9,2]=>[2,9,4,7,1,10,6,3,5,8]
[8,5,3,6,10,2,7,4,9,1]=>[1,9,4,7,2,10,6,3,5,8]
[8,5,4,6,10,2,7,3,9,1]=>[1,9,3,7,2,10,6,4,5,8]
[8,4,6,5,10,2,7,3,9,1]=>[1,9,3,7,2,10,5,6,4,8]
[7,4,6,5,10,2,8,3,9,1]=>[1,9,3,8,2,10,5,6,4,7]
[7,4,6,5,9,2,8,3,10,1]=>[1,10,3,8,2,9,5,6,4,7]
[5,6,4,7,3,8,1,9,2,10]=>[10,2,9,1,8,3,7,4,6,5]
[1,6,7,5,8,4,9,2,10,3]=>[3,10,2,9,4,8,5,7,6,1]
[1,9,2,7,3,10,4,8,5,6]=>[6,5,8,4,10,3,7,2,9,1]
[1,9,2,7,3,10,4,5,8,6]=>[6,8,5,4,10,3,7,2,9,1]
[1,9,2,7,6,3,10,4,5,8]=>[8,5,4,10,3,6,7,2,9,1]
[1,9,4,5,8,2,7,6,3,10]=>[10,3,6,7,2,8,5,4,9,1]
[1,9,3,10,2,7,6,4,5,8]=>[8,5,4,6,7,2,10,3,9,1]
[1,9,3,10,2,7,5,8,4,6]=>[6,4,8,5,7,2,10,3,9,1]
[1,9,3,10,2,8,4,6,5,7]=>[7,5,6,4,8,2,10,3,9,1]
[1,10,2,8,3,9,4,6,5,7]=>[7,5,6,4,9,3,8,2,10,1]
[8,7,6,5,4,10,2,9,1,3]=>[3,1,9,2,10,4,5,6,7,8]
[7,6,5,10,3,9,2,8,1,4]=>[4,1,8,2,9,3,10,5,6,7]
[8,7,6,5,9,2,4,1,3,10]=>[10,3,1,4,2,9,5,6,7,8]
[8,7,6,5,3,9,10,1,2,4]=>[4,2,1,10,9,3,5,6,7,8]
[7,6,9,3,8,2,5,1,4,10]=>[10,4,1,5,2,8,3,9,6,7]
[8,7,6,9,3,4,10,1,2,5]=>[5,2,1,10,4,3,9,6,7,8]
[7,6,3,9,2,8,1,4,5,10]=>[10,5,4,1,8,2,9,3,6,7]
[8,7,6,4,9,10,1,2,3,5]=>[5,3,2,1,10,9,4,6,7,8]
[7,8,4,6,3,5,10,1,2,9]=>[9,2,1,10,5,3,6,4,8,7]
[4,9,3,8,2,7,1,5,6,10]=>[10,6,5,1,7,2,8,3,9,4]
[7,4,8,10,2,5,9,1,3,6]=>[6,3,1,9,5,2,10,8,4,7]
[8,7,9,4,5,6,1,2,3,10]=>[10,3,2,1,6,5,4,9,7,8]
[7,3,9,2,8,1,4,5,6,10]=>[10,6,5,4,1,8,2,9,3,7]
[8,7,3,5,9,10,1,2,4,6]=>[6,4,2,1,10,9,5,3,7,8]
[8,7,5,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,5,7,8]
[5,8,9,2,4,7,1,3,6,10]=>[10,6,3,1,7,4,2,9,8,5]
[8,9,3,5,6,10,1,2,4,7]=>[7,4,2,1,10,6,5,3,9,8]
[3,9,2,8,1,4,5,6,7,10]=>[10,7,6,5,4,1,8,2,9,3]
[8,4,6,9,10,1,2,3,5,7]=>[7,5,3,2,1,10,9,6,4,8]
[8,6,9,10,1,2,3,4,5,7]=>[7,5,4,3,2,1,10,9,6,8]
[8,4,3,2,7,6,5,10,9,1]=>[1,9,10,5,6,7,2,3,4,8]
[5,4,3,2,10,7,6,9,8,1]=>[1,8,9,6,7,10,2,3,4,5]
[7,4,3,2,10,6,5,9,8,1]=>[1,8,9,5,6,10,2,3,4,7]
[10,4,3,2,9,6,5,8,7,1]=>[1,7,8,5,6,9,2,3,4,10]
[7,6,3,2,10,5,4,9,8,1]=>[1,8,9,4,5,10,2,3,6,7]
[5,4,3,2,8,7,6,1,10,9]=>[9,10,1,6,7,8,2,3,4,5]
[8,4,3,2,7,6,5,1,10,9]=>[9,10,1,5,6,7,2,3,4,8]
[5,4,3,2,9,7,6,1,10,8]=>[8,10,1,6,7,9,2,3,4,5]
[7,4,3,2,9,6,5,1,10,8]=>[8,10,1,5,6,9,2,3,4,7]
[9,4,3,2,8,6,5,1,10,7]=>[7,10,1,5,6,8,2,3,4,9]
[7,6,3,2,9,5,4,1,10,8]=>[8,10,1,4,5,9,2,3,6,7]
[9,6,3,2,8,5,4,1,10,7]=>[7,10,1,4,5,8,2,3,6,9]
[7,4,3,2,1,8,6,5,10,9]=>[9,10,5,6,8,1,2,3,4,7]
[8,4,3,2,1,7,6,5,10,9]=>[9,10,5,6,7,1,2,3,4,8]
[1,5,4,3,2,8,7,6,10,9]=>[9,10,6,7,8,2,3,4,5,1]
[7,6,3,2,1,8,5,4,10,9]=>[9,10,4,5,8,1,2,3,6,7]
[8,6,3,2,1,7,5,4,10,9]=>[9,10,4,5,7,1,2,3,6,8]
[1,7,4,3,2,8,6,5,10,9]=>[9,10,5,6,8,2,3,4,7,1]
[5,4,3,2,9,8,6,1,10,7]=>[7,10,1,6,8,9,2,3,4,5]
[6,4,3,2,9,8,5,1,10,7]=>[7,10,1,5,8,9,2,3,4,6]
[9,4,3,2,8,7,5,1,10,6]=>[6,10,1,5,7,8,2,3,4,9]
[6,5,3,2,9,8,4,1,10,7]=>[7,10,1,4,8,9,2,3,5,6]
[9,5,3,2,8,7,4,1,10,6]=>[6,10,1,4,7,8,2,3,5,9]
[5,4,3,2,1,9,7,6,10,8]=>[8,10,6,7,9,1,2,3,4,5]
[6,4,3,2,1,9,7,5,10,8]=>[8,10,5,7,9,1,2,3,4,6]
[8,4,3,2,1,9,6,5,10,7]=>[7,10,5,6,9,1,2,3,4,8]
[1,5,4,3,2,9,7,6,10,8]=>[8,10,6,7,9,2,3,4,5,1]
[6,5,3,2,1,9,7,4,10,8]=>[8,10,4,7,9,1,2,3,5,6]
[1,6,4,3,2,9,7,5,10,8]=>[8,10,5,7,9,2,3,4,6,1]
[8,7,3,2,1,9,5,4,10,6]=>[6,10,4,5,9,1,2,3,7,8]
[1,8,4,3,2,9,6,5,10,7]=>[7,10,5,6,9,2,3,4,8,1]
[6,5,4,2,9,8,3,1,10,7]=>[7,10,1,3,8,9,2,4,5,6]
[9,5,4,2,8,7,3,1,10,6]=>[6,10,1,3,7,8,2,4,5,9]
[6,5,4,2,1,9,7,3,10,8]=>[8,10,3,7,9,1,2,4,5,6]
[8,5,4,2,1,9,6,3,10,7]=>[7,10,3,6,9,1,2,4,5,8]
[1,6,5,3,2,9,7,4,10,8]=>[8,10,4,7,9,2,3,5,6,1]
[8,7,4,2,1,9,5,3,10,6]=>[6,10,3,5,9,1,2,4,7,8]
[10,1,2,3,4,6,8,5,7,9]=>[9,7,5,8,6,4,3,2,1,10]
[10,8,1,2,3,4,6,9,5,7]=>[7,5,9,6,4,3,2,1,8,10]
[7,10,1,2,3,5,8,4,6,9]=>[9,6,4,8,5,3,2,1,10,7]
[7,1,2,3,4,6,9,10,5,8]=>[8,5,10,9,6,4,3,2,1,7]
[5,9,10,1,2,3,6,8,4,7]=>[7,4,8,6,3,2,1,10,9,5]
[9,7,1,2,3,4,8,6,10,5]=>[5,10,6,8,4,3,2,1,7,9]
[3,1,4,5,2,6,7,8,9,10]=>[10,9,8,7,6,2,5,4,1,3]
[4,1,5,2,6,7,3,8,9,10]=>[10,9,8,3,7,6,2,5,1,4]
[5,1,6,2,7,3,8,9,4,10]=>[10,4,9,8,3,7,2,6,1,5]
[5,6,2,1,7,3,8,4,9,10]=>[10,9,4,8,3,7,1,2,6,5]
[5,3,1,6,4,7,2,8,9,10]=>[10,9,8,2,7,4,6,1,3,5]
[5,3,6,2,7,4,1,8,9,10]=>[10,9,8,1,4,7,2,6,3,5]
[6,7,2,1,8,9,3,4,10,5]=>[5,10,4,3,9,8,1,2,7,6]
[6,3,7,8,1,4,9,5,2,10]=>[10,2,5,9,4,1,8,7,3,6]
[6,3,7,2,1,8,4,9,5,10]=>[10,5,9,4,8,1,2,7,3,6]
[6,7,4,5,2,8,3,1,9,10]=>[10,9,1,3,8,2,5,4,7,6]
[6,4,3,7,2,8,5,1,9,10]=>[10,9,1,5,8,2,7,3,4,6]
[7,3,8,9,1,4,2,10,5,6]=>[6,5,10,2,4,1,9,8,3,7]
[7,3,8,2,1,9,10,4,5,6]=>[6,5,4,10,9,1,2,8,3,7]
[7,4,1,8,5,2,9,6,10,3]=>[3,10,6,9,2,5,8,1,4,7]
[7,4,3,8,2,1,9,5,10,6]=>[6,10,5,9,1,2,8,3,4,7]
[7,5,3,1,8,6,4,9,2,10]=>[10,2,9,4,6,8,1,3,5,7]
[7,5,8,3,6,2,9,4,1,10]=>[10,1,4,9,2,6,3,8,5,7]
[7,5,4,3,8,2,9,6,1,10]=>[10,1,6,9,2,8,3,4,5,7]
[8,9,5,2,10,1,6,7,3,4]=>[4,3,7,6,1,10,2,5,9,8]
[8,5,3,9,6,10,1,4,7,2]=>[2,7,4,1,10,6,9,3,5,8]
[8,5,9,3,10,6,2,7,4,1]=>[1,4,7,2,6,10,3,9,5,8]
[8,5,4,3,9,2,1,10,6,7]=>[7,6,10,1,2,9,3,4,5,8]
[8,9,6,7,4,5,2,10,3,1]=>[1,3,10,2,5,4,7,6,9,8]
[8,6,4,9,3,7,2,10,5,1]=>[1,5,10,2,7,3,9,4,6,8]
[8,6,5,4,3,9,2,10,7,1]=>[1,7,10,2,9,3,4,5,6,8]
[2,5,4,3,8,7,6,1,9,10]=>[10,9,1,6,7,8,3,4,5,2]
[10,1,2,3,4,5,7,6,8,9]=>[9,8,6,7,5,4,3,2,1,10]
[10,1,2,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,2,1,10]
[10,9,8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8,9,10]
[7,2,8,3,9,4,10,1,6,5]=>[5,6,1,10,4,9,3,8,2,7]
[7,2,8,3,9,10,4,1,6,5]=>[5,6,1,4,10,9,3,8,2,7]
[7,2,8,3,9,10,1,5,6,4]=>[4,6,5,1,10,9,3,8,2,7]
[7,2,8,9,3,4,10,1,6,5]=>[5,6,1,10,4,3,9,8,2,7]
[7,2,8,9,3,10,4,1,6,5]=>[5,6,1,4,10,3,9,8,2,7]
[7,2,8,9,3,10,1,5,6,4]=>[4,6,5,1,10,3,9,8,2,7]
[7,2,8,9,10,3,4,1,6,5]=>[5,6,1,4,3,10,9,8,2,7]
[7,2,8,9,10,3,1,5,6,4]=>[4,6,5,1,3,10,9,8,2,7]
[7,2,8,9,10,1,4,5,6,3]=>[3,6,5,4,1,10,9,8,2,7]
[7,8,2,3,9,4,10,1,6,5]=>[5,6,1,10,4,9,3,2,8,7]
[7,8,2,3,9,10,4,1,6,5]=>[5,6,1,4,10,9,3,2,8,7]
[7,8,2,3,9,10,1,5,6,4]=>[4,6,5,1,10,9,3,2,8,7]
[7,8,2,9,3,4,10,1,6,5]=>[5,6,1,10,4,3,9,2,8,7]
[7,8,2,9,3,10,4,1,6,5]=>[5,6,1,4,10,3,9,2,8,7]
[7,8,2,9,3,10,1,5,6,4]=>[4,6,5,1,10,3,9,2,8,7]
[7,8,2,9,10,3,4,1,6,5]=>[5,6,1,4,3,10,9,2,8,7]
[7,8,2,9,10,3,1,5,6,4]=>[4,6,5,1,3,10,9,2,8,7]
[7,8,2,9,10,1,4,5,6,3]=>[3,6,5,4,1,10,9,2,8,7]
[7,8,9,2,3,4,10,1,6,5]=>[5,6,1,10,4,3,2,9,8,7]
[7,8,9,2,3,10,4,1,6,5]=>[5,6,1,4,10,3,2,9,8,7]
[7,8,9,2,3,10,1,5,6,4]=>[4,6,5,1,10,3,2,9,8,7]
[7,8,9,2,10,3,4,1,6,5]=>[5,6,1,4,3,10,2,9,8,7]
[7,8,9,2,10,3,1,5,6,4]=>[4,6,5,1,3,10,2,9,8,7]
[7,8,9,2,10,1,4,5,6,3]=>[3,6,5,4,1,10,2,9,8,7]
[7,8,9,10,2,3,4,1,6,5]=>[5,6,1,4,3,2,10,9,8,7]
[7,8,9,10,2,3,1,5,6,4]=>[4,6,5,1,3,2,10,9,8,7]
[7,8,9,10,2,1,4,5,6,3]=>[3,6,5,4,1,2,10,9,8,7]
[7,3,2,1,10,9,8,6,5,4]=>[4,5,6,8,9,10,1,2,3,7]
[6,3,2,1,10,9,8,7,5,4]=>[4,5,7,8,9,10,1,2,3,6]
[9,5,2,1,10,8,7,6,4,3]=>[3,4,6,7,8,10,1,2,5,9]
[8,3,2,1,10,9,7,6,5,4]=>[4,5,6,7,9,10,1,2,3,8]
[8,5,2,1,10,9,7,6,4,3]=>[3,4,6,7,9,10,1,2,5,8]
[7,5,2,1,10,9,8,6,4,3]=>[3,4,6,8,9,10,1,2,5,7]
[10,5,2,1,9,8,7,6,4,3]=>[3,4,6,7,8,9,1,2,5,10]
[5,3,2,1,10,9,8,7,6,4]=>[4,6,7,8,9,10,1,2,3,5]
[5,4,2,1,10,9,8,7,6,3]=>[3,6,7,8,9,10,1,2,4,5]
[8,4,2,1,10,9,7,6,5,3]=>[3,5,6,7,9,10,1,2,4,8]
[7,4,2,1,10,9,8,6,5,3]=>[3,5,6,8,9,10,1,2,4,7]
[10,4,2,1,9,8,7,6,5,3]=>[3,5,6,7,8,9,1,2,4,10]
[7,6,2,1,10,9,8,5,4,3]=>[3,4,5,8,9,10,1,2,6,7]
[10,6,2,1,9,8,7,5,4,3]=>[3,4,5,7,8,9,1,2,6,10]
[5,4,3,1,10,9,8,7,6,2]=>[2,6,7,8,9,10,1,3,4,5]
[8,4,3,1,10,9,7,6,5,2]=>[2,5,6,7,9,10,1,3,4,8]
[7,4,3,1,10,9,8,6,5,2]=>[2,5,6,8,9,10,1,3,4,7]
[10,4,3,1,9,8,7,6,5,2]=>[2,5,6,7,8,9,1,3,4,10]
[7,6,3,1,10,9,8,5,4,2]=>[2,4,5,8,9,10,1,3,6,7]
[9,7,6,8,10,4,5,2,3,1]=>[1,3,2,5,4,10,8,6,7,9]
[9,6,5,7,4,8,10,2,3,1]=>[1,3,2,10,8,4,7,5,6,9]
[9,8,10,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,10,8,9]
[9,7,5,4,6,8,10,2,3,1]=>[1,3,2,10,8,6,4,5,7,9]
[9,6,5,7,3,4,2,8,10,1]=>[1,10,8,2,4,3,7,5,6,9]
[9,8,10,4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4,10,8,9]
[9,8,10,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,10,8,9]
[9,7,6,8,10,3,2,4,5,1]=>[1,5,4,2,3,10,8,6,7,9]
[9,8,10,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,10,8,9]
[10,7,6,8,4,5,2,3,1,9]=>[9,1,3,2,5,4,8,6,7,10]
[10,7,5,4,6,8,2,3,1,9]=>[9,1,3,2,8,6,4,5,7,10]
[10,7,6,8,3,2,4,5,1,9]=>[9,1,5,4,2,3,8,6,7,10]
[10,7,6,8,4,5,3,9,1,2]=>[2,1,9,3,5,4,8,6,7,10]
[10,7,5,4,6,8,3,9,1,2]=>[2,1,9,3,8,6,4,5,7,10]
[10,7,6,8,4,5,2,1,3,9]=>[9,3,1,2,5,4,8,6,7,10]
[10,7,6,8,5,9,3,4,1,2]=>[2,1,4,3,9,5,8,6,7,10]
[10,7,6,8,4,3,5,9,1,2]=>[2,1,9,5,3,4,8,6,7,10]
[10,7,6,8,5,9,2,1,3,4]=>[4,3,1,2,9,5,8,6,7,10]
[10,8,6,5,7,9,3,4,1,2]=>[2,1,4,3,9,7,5,6,8,10]
[9,6,5,7,4,3,8,10,1,2]=>[2,1,10,8,3,4,7,5,6,9]
[10,8,7,9,4,3,5,6,1,2]=>[2,1,6,5,3,4,9,7,8,10]
[10,8,6,4,3,5,7,9,1,2]=>[2,1,9,7,5,3,4,6,8,10]
[9,6,5,7,3,4,2,1,8,10]=>[10,8,1,2,4,3,7,5,6,9]
[9,6,4,3,5,7,2,1,8,10]=>[10,8,1,2,7,5,3,4,6,9]
[9,8,10,4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4,10,8,9]
[9,7,4,3,5,2,1,6,8,10]=>[10,8,6,1,2,5,3,4,7,9]
[10,8,7,9,5,6,2,1,3,4]=>[4,3,1,2,6,5,9,7,8,10]
[10,8,6,5,7,9,2,1,3,4]=>[4,3,1,2,9,7,5,6,8,10]
[9,6,5,7,4,2,1,3,8,10]=>[10,8,3,1,2,4,7,5,6,9]
[10,8,7,9,4,2,1,3,5,6]=>[6,5,3,1,2,4,9,7,8,10]
[1,2,3,10,4,6,5,7,8,9]=>[9,8,7,5,6,4,10,3,2,1]
[4,5,2,6,7,8,9,10,1,3]=>[3,1,10,9,8,7,6,2,5,4]
[4,5,6,7,8,2,9,10,1,3]=>[3,1,10,9,2,8,7,6,5,4]
[5,2,1,6,7,8,9,10,4,3]=>[3,4,10,9,8,7,6,1,2,5]
[4,6,2,1,7,8,9,10,5,3]=>[3,5,10,9,8,7,1,2,6,4]
[4,5,7,1,2,8,9,10,6,3]=>[3,6,10,9,8,2,1,7,5,4]
[4,5,6,8,2,1,9,10,7,3]=>[3,7,10,9,1,2,8,6,5,4]
[4,5,6,7,9,2,1,10,8,3]=>[3,8,10,1,2,9,7,6,5,4]
[4,5,6,7,8,10,1,2,9,3]=>[3,9,2,1,10,8,7,6,5,4]
[6,10,1,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,1,10,6]
[6,10,9,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,9,10,6]
[9,8,10,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,10,8,9]
[9,10,7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7,10,9]
[9,8,10,6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6,10,8,9]
[9,8,7,10,6,5,3,4,1,2]=>[2,1,4,3,5,6,10,7,8,9]
[9,10,7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7,10,9]
[9,10,7,6,8,4,5,3,1,2]=>[2,1,3,5,4,8,6,7,10,9]
[9,8,10,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,10,8,9]
[9,8,7,10,6,4,5,3,1,2]=>[2,1,3,5,4,6,10,7,8,9]
[9,10,7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7,10,9]
[9,8,10,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,10,8,9]
[9,8,7,10,5,6,4,3,1,2]=>[2,1,3,4,6,5,10,7,8,9]
[9,8,7,6,10,5,4,3,1,2]=>[2,1,3,4,5,10,6,7,8,9]
[9,8,10,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,10,8,9]
[9,10,7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7,10,9]
[9,8,10,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,10,8,9]
[9,8,7,10,6,5,3,2,4,1]=>[1,4,2,3,5,6,10,7,8,9]
[9,10,7,8,5,4,6,2,3,1]=>[1,3,2,6,4,5,8,7,10,9]
[9,8,10,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,10,8,9]
[9,10,7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7,10,9]
[9,10,7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7,10,9]
[9,8,10,6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6,10,8,9]
[9,10,7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7,10,9]
[9,8,10,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,10,8,9]
[9,10,7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7,10,9]
[9,8,10,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,10,8,9]
[9,8,7,10,6,4,3,5,2,1]=>[1,2,5,3,4,6,10,7,8,9]
[9,10,7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7,10,9]
[9,8,10,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,10,8,9]
[9,10,7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7,10,9]
[9,8,10,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,10,8,9]
[9,8,7,10,5,4,6,3,2,1]=>[1,2,3,6,4,5,10,7,8,9]
[10,8,9,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,9,8,10]
[9,2,3,4,5,6,10,7,1,8]=>[8,1,7,10,6,5,4,3,2,9]
[8,2,3,4,5,10,6,1,9,7]=>[7,9,1,6,10,5,4,3,2,8]
[7,2,3,4,6,10,1,8,9,5]=>[5,9,8,1,10,6,4,3,2,7]
[6,2,3,10,4,1,7,8,9,5]=>[5,9,8,7,1,4,10,3,2,6]
[5,2,10,3,1,6,7,8,9,4]=>[4,9,8,7,6,1,3,10,2,5]
[4,3,10,1,5,6,7,8,9,2]=>[2,9,8,7,6,5,1,10,3,4]
[3,1,5,2,7,4,10,9,6,8]=>[8,6,9,10,4,7,2,5,1,3]
[3,1,5,2,10,7,4,9,6,8]=>[8,6,9,4,7,10,2,5,1,3]
[3,1,10,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,10,1,3]
[2,10,1,5,3,7,4,9,6,8]=>[8,6,9,4,7,3,5,1,10,2]
[2,4,1,10,3,7,5,9,6,8]=>[8,6,9,5,7,3,10,1,4,2]
[2,4,1,6,3,10,5,9,7,8]=>[8,7,9,5,10,3,6,1,4,2]
[3,1,10,2,6,7,4,9,5,8]=>[8,5,9,4,7,6,2,10,1,3]
[10,1,4,5,2,7,3,9,6,8]=>[8,6,9,3,7,2,5,4,1,10]
[10,1,2,5,3,7,4,9,6,8]=>[8,6,9,4,7,3,5,2,1,10]
[4,3,1,10,2,7,5,9,6,8]=>[8,6,9,5,7,2,10,1,3,4]
[2,6,1,5,3,10,4,9,7,8]=>[8,7,9,4,10,3,5,1,6,2]
[2,4,1,8,3,7,5,10,6,9]=>[9,6,10,5,7,3,8,1,4,2]
[9,4,3,5,1,10,2,7,8,6]=>[6,8,7,2,10,1,5,3,4,9]
[10,2,7,9,4,3,5,1,8,6]=>[6,8,1,5,3,4,9,7,2,10]
[8,7,9,4,3,5,1,10,2,6]=>[6,2,10,1,5,3,4,9,7,8]
[9,4,3,5,1,8,7,10,2,6]=>[6,2,10,7,8,1,5,3,4,9]
[8,9,4,3,5,1,7,10,2,6]=>[6,2,10,7,1,5,3,4,9,8]
[4,3,9,5,1,10,2,7,8,6]=>[6,8,7,2,10,1,5,9,3,4]
[4,3,10,2,7,9,5,1,8,6]=>[6,8,1,5,9,7,2,10,3,4]
[4,3,8,7,9,5,1,10,2,6]=>[6,2,10,1,5,9,7,8,3,4]
[4,3,9,5,1,8,7,10,2,6]=>[6,2,10,7,8,1,5,9,3,4]
[4,3,8,9,5,1,7,10,2,6]=>[6,2,10,7,1,5,9,8,3,4]
[4,3,8,7,10,2,5,1,9,6]=>[6,9,1,5,2,10,7,8,3,4]
[4,3,10,2,5,1,8,7,9,6]=>[6,9,7,8,1,5,2,10,3,4]
[4,3,8,10,2,5,1,7,9,6]=>[6,9,7,1,5,2,10,8,3,4]
[4,3,8,9,7,10,2,5,1,6]=>[6,1,5,2,10,7,9,8,3,4]
[10,3,5,1,9,4,2,7,8,6]=>[6,8,7,2,4,9,1,5,3,10]
[9,4,2,7,10,3,5,1,8,6]=>[6,8,1,5,3,10,7,2,4,9]
[8,7,10,3,5,1,9,4,2,6]=>[6,2,4,9,1,5,3,10,7,8]
[10,3,5,1,8,7,9,4,2,6]=>[6,2,4,9,7,8,1,5,3,10]
[8,10,3,5,1,7,9,4,2,6]=>[6,2,4,9,7,1,5,3,10,8]
[9,5,1,10,3,4,2,7,8,6]=>[6,8,7,2,4,3,10,1,5,9]
[10,3,4,2,7,9,5,1,8,6]=>[6,8,1,5,9,7,2,4,3,10]
[8,7,9,5,1,10,3,4,2,6]=>[6,2,4,3,10,1,5,9,7,8]
[9,5,1,8,7,10,3,4,2,6]=>[6,2,4,3,10,7,8,1,5,9]
[8,9,5,1,7,10,3,4,2,6]=>[6,2,4,3,10,7,1,5,9,8]
[8,7,10,3,4,2,5,1,9,6]=>[6,9,1,5,2,4,3,10,7,8]
[10,3,4,2,5,1,8,7,9,6]=>[6,9,7,8,1,5,2,4,3,10]
[8,10,3,4,2,5,1,7,9,6]=>[6,9,7,1,5,2,4,3,10,8]
[3,9,5,1,10,4,2,7,8,6]=>[6,8,7,2,4,10,1,5,9,3]
[3,10,4,2,7,9,5,1,8,6]=>[6,8,1,5,9,7,2,4,10,3]
[3,8,7,9,5,1,10,4,2,6]=>[6,2,4,10,1,5,9,7,8,3]
[3,9,5,1,8,7,10,4,2,6]=>[6,2,4,10,7,8,1,5,9,3]
[3,8,9,5,1,7,10,4,2,6]=>[6,2,4,10,7,1,5,9,8,3]
[3,8,7,10,4,2,5,1,9,6]=>[6,9,1,5,2,4,10,7,8,3]
[3,10,4,2,5,1,8,7,9,6]=>[6,9,7,8,1,5,2,4,10,3]
[3,8,10,4,2,5,1,7,9,6]=>[6,9,7,1,5,2,4,10,8,3]
[3,8,9,7,10,4,2,5,1,6]=>[6,1,5,2,4,10,7,9,8,3]
[3,4,2,8,7,10,5,1,9,6]=>[6,9,1,5,10,7,8,2,4,3]
[3,4,2,10,5,1,8,7,9,6]=>[6,9,7,8,1,5,10,2,4,3]
[3,4,2,8,10,5,1,7,9,6]=>[6,9,7,1,5,10,8,2,4,3]
[3,4,2,8,9,7,10,5,1,6]=>[6,1,5,10,7,9,8,2,4,3]
[8,1,2,10,3,4,5,6,7,9]=>[9,7,6,5,4,3,10,2,1,8]
[7,1,2,3,10,4,5,6,8,9]=>[9,8,6,5,4,10,3,2,1,7]
[4,1,6,3,8,5,10,9,7,2]=>[2,7,9,10,5,8,3,6,1,4]
[4,1,6,3,8,10,9,7,5,2]=>[2,5,7,9,10,8,3,6,1,4]
[4,1,6,8,10,5,9,7,3,2]=>[2,3,7,9,5,10,8,6,1,4]
[4,6,8,3,10,5,9,7,1,2]=>[2,1,7,9,5,10,3,8,6,4]
[4,6,8,3,10,5,9,7,2,1]=>[1,2,7,9,5,10,3,8,6,4]
[3,5,2,8,4,10,9,7,6,1]=>[1,6,7,9,10,4,8,2,5,3]
[3,5,1,7,2,9,4,6,8,10]=>[10,8,6,4,9,2,7,1,5,3]
[3,5,1,7,2,4,6,9,8,10]=>[10,8,9,6,4,2,7,1,5,3]
[3,5,1,2,4,7,6,9,8,10]=>[10,8,9,6,7,4,2,1,5,3]
[1,4,2,3,5,6,7,8,10,9]=>[9,10,8,7,6,5,3,2,4,1]
[1,2,5,3,4,6,7,8,10,9]=>[9,10,8,7,6,4,3,5,2,1]
[1,2,3,4,7,5,6,8,10,9]=>[9,10,8,6,5,7,4,3,2,1]
[1,2,3,4,5,8,6,7,10,9]=>[9,10,7,6,8,5,4,3,2,1]
[1,3,4,2,5,6,7,8,10,9]=>[9,10,8,7,6,5,2,4,3,1]
[4,1,5,3,2,6,7,8,10,9]=>[9,10,8,7,6,2,3,5,1,4]
[2,5,1,6,4,3,7,8,10,9]=>[9,10,8,7,3,4,6,1,5,2]
[2,3,6,1,5,7,4,8,10,9]=>[9,10,8,4,7,5,1,6,3,2]
[2,3,4,7,1,8,6,5,10,9]=>[9,10,5,6,8,1,7,4,3,2]
[2,3,4,5,8,1,9,7,10,6]=>[6,10,7,9,1,8,5,4,3,2]
[4,5,6,7,8,1,2,10,3,9]=>[9,3,10,2,1,8,7,6,5,4]
[8,7,6,5,2,10,1,3,4,9]=>[9,4,3,1,10,2,5,6,7,8]
[10,8,1,2,9,3,7,4,6,5]=>[5,6,4,7,3,9,2,1,8,10]
[10,8,1,7,2,3,9,4,6,5]=>[5,6,4,9,3,2,7,1,8,10]
[10,8,1,7,2,6,3,5,4,9]=>[9,4,5,3,6,2,7,1,8,10]
[10,8,1,7,2,6,3,9,4,5]=>[5,4,9,3,6,2,7,1,8,10]
[10,8,1,7,2,9,3,6,4,5]=>[5,4,6,3,9,2,7,1,8,10]
[10,8,1,9,2,7,3,6,4,5]=>[5,4,6,3,7,2,9,1,8,10]
[6,7,8,9,2,10,4,1,5,3]=>[3,5,1,4,10,2,9,8,7,6]
[4,7,9,8,1,10,5,2,6,3]=>[3,6,2,5,10,1,8,9,7,4]
[4,7,8,9,10,2,1,6,5,3]=>[3,5,6,1,2,10,9,8,7,4]
[7,8,9,10,3,2,1,6,5,4]=>[4,5,6,1,2,3,10,9,8,7]
[6,7,8,9,1,10,5,4,3,2]=>[2,3,4,5,10,1,9,8,7,6]
[4,7,5,9,8,1,10,6,3,2]=>[2,3,6,10,1,8,9,5,7,4]
[5,7,9,8,3,1,10,6,4,2]=>[2,4,6,10,1,3,8,9,7,5]
[5,7,9,8,1,10,6,4,3,2]=>[2,3,4,6,10,1,8,9,7,5]
[5,7,8,1,9,10,6,4,3,2]=>[2,3,4,6,10,9,1,8,7,5]
[5,7,8,10,9,4,6,3,2,1]=>[1,2,3,6,4,9,10,8,7,5]
[8,5,10,6,1,9,4,7,3,2]=>[2,3,7,4,9,1,6,10,5,8]
[3,9,6,8,2,1,10,7,5,4]=>[4,5,7,10,1,2,8,6,9,3]
[5,8,6,1,10,9,4,7,3,2]=>[2,3,7,4,9,10,1,6,8,5]
[5,9,6,10,8,4,3,7,2,1]=>[1,2,7,3,4,8,10,6,9,5]
[4,6,1,8,10,9,5,7,3,2]=>[2,3,7,5,9,10,8,1,6,4]
[4,6,10,8,9,5,3,7,2,1]=>[1,2,7,3,5,9,8,10,6,4]
[6,8,10,9,4,5,3,7,2,1]=>[1,2,7,3,5,4,9,10,8,6]
[9,6,4,1,10,7,5,3,8,2]=>[2,8,3,5,7,10,1,4,6,9]
[6,4,1,9,10,7,5,3,8,2]=>[2,8,3,5,7,10,9,1,4,6]
[6,4,10,9,7,5,3,2,8,1]=>[1,8,2,3,5,7,9,10,4,6]
[9,6,10,7,4,5,3,2,8,1]=>[1,8,2,3,5,4,7,10,6,9]
[3,10,5,9,7,4,6,2,8,1]=>[1,8,2,6,4,7,9,5,10,3]
[5,10,9,7,4,3,6,2,8,1]=>[1,8,2,6,3,4,7,9,10,5]
[7,10,9,3,4,5,6,2,8,1]=>[1,8,2,6,5,4,3,9,10,7]
[10,8,6,4,3,5,2,7,1,9]=>[9,1,7,2,5,3,4,6,8,10]
[10,8,6,3,4,5,2,7,1,9]=>[9,1,7,2,5,4,3,6,8,10]
[10,8,2,3,4,5,6,7,1,9]=>[9,1,7,6,5,4,3,2,8,10]
[6,7,4,8,3,5,9,2,10,1]=>[1,10,2,9,5,3,8,4,7,6]
[6,7,4,8,3,9,2,5,10,1]=>[1,10,5,2,9,3,8,4,7,6]
[6,7,4,8,3,9,2,10,1,5]=>[5,1,10,2,9,3,8,4,7,6]
[5,6,3,7,2,1,8,9,4,10]=>[10,4,9,8,1,2,7,3,6,5]
[5,6,3,2,7,8,4,9,1,10]=>[10,1,9,4,8,7,2,3,6,5]
[5,3,6,7,4,8,2,9,1,10]=>[10,1,9,2,8,4,7,6,3,5]
[4,6,5,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,5,6,4]
[10,7,8,5,6,3,1,4,2,9]=>[9,2,4,1,3,6,5,8,7,10]
[10,7,8,5,3,6,4,1,2,9]=>[9,2,1,4,6,3,5,8,7,10]
[10,7,8,5,3,6,1,4,2,9]=>[9,2,4,1,6,3,5,8,7,10]
[10,7,8,5,3,1,6,4,2,9]=>[9,2,4,6,1,3,5,8,7,10]
[10,7,5,8,6,3,4,1,2,9]=>[9,2,1,4,3,6,8,5,7,10]
[10,7,5,8,6,3,1,4,2,9]=>[9,2,4,1,3,6,8,5,7,10]
[10,7,5,8,3,6,4,1,2,9]=>[9,2,1,4,6,3,8,5,7,10]
[10,7,5,8,3,1,6,4,2,9]=>[9,2,4,6,1,3,8,5,7,10]
[10,7,5,3,8,6,4,1,2,9]=>[9,2,1,4,6,8,3,5,7,10]
[10,7,5,3,8,6,1,4,2,9]=>[9,2,4,1,6,8,3,5,7,10]
[10,7,5,3,8,1,6,4,2,9]=>[9,2,4,6,1,8,3,5,7,10]
[7,10,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,10,7]
[7,10,8,5,6,3,1,4,2,9]=>[9,2,4,1,3,6,5,8,10,7]
[7,10,8,5,3,6,4,1,2,9]=>[9,2,1,4,6,3,5,8,10,7]
[7,10,8,5,3,6,1,4,2,9]=>[9,2,4,1,6,3,5,8,10,7]
[7,10,8,5,3,1,6,4,2,9]=>[9,2,4,6,1,3,5,8,10,7]
[7,10,5,8,6,3,4,1,2,9]=>[9,2,1,4,3,6,8,5,10,7]
[7,10,5,8,6,3,1,4,2,9]=>[9,2,4,1,3,6,8,5,10,7]
[7,10,5,8,3,1,6,4,2,9]=>[9,2,4,6,1,3,8,5,10,7]
[7,10,5,3,8,6,4,1,2,9]=>[9,2,1,4,6,8,3,5,10,7]
[7,10,5,3,8,6,1,4,2,9]=>[9,2,4,1,6,8,3,5,10,7]
[7,10,5,3,8,1,6,4,2,9]=>[9,2,4,6,1,8,3,5,10,7]
[7,10,5,3,1,8,6,4,2,9]=>[9,2,4,6,8,1,3,5,10,7]
[7,5,10,8,6,3,4,1,2,9]=>[9,2,1,4,3,6,8,10,5,7]
[7,5,10,8,6,3,1,4,2,9]=>[9,2,4,1,3,6,8,10,5,7]
[7,5,10,8,3,6,4,1,2,9]=>[9,2,1,4,6,3,8,10,5,7]
[7,5,10,8,3,6,1,4,2,9]=>[9,2,4,1,6,3,8,10,5,7]
[7,5,10,8,3,1,6,4,2,9]=>[9,2,4,6,1,3,8,10,5,7]
[7,5,10,3,8,6,4,1,2,9]=>[9,2,1,4,6,8,3,10,5,7]
[7,5,10,3,8,6,1,4,2,9]=>[9,2,4,1,6,8,3,10,5,7]
[7,5,10,3,8,1,6,4,2,9]=>[9,2,4,6,1,8,3,10,5,7]
[7,5,10,3,1,8,6,4,2,9]=>[9,2,4,6,8,1,3,10,5,7]
[7,5,3,10,8,6,4,1,2,9]=>[9,2,1,4,6,8,10,3,5,7]
[7,5,3,10,8,6,1,4,2,9]=>[9,2,4,1,6,8,10,3,5,7]
[7,5,3,10,8,1,6,4,2,9]=>[9,2,4,6,1,8,10,3,5,7]
[7,5,3,10,1,8,6,4,2,9]=>[9,2,4,6,8,1,10,3,5,7]
[2,6,3,5,9,4,1,7,8,10]=>[10,8,7,1,4,9,5,3,6,2]
[2,1,6,9,3,7,8,4,5,10]=>[10,5,4,8,7,3,9,6,1,2]
[2,6,9,3,1,7,8,4,5,10]=>[10,5,4,8,7,1,3,9,6,2]
[2,6,9,3,7,8,4,5,1,10]=>[10,1,5,4,8,7,3,9,6,2]
[6,9,3,2,1,7,8,4,5,10]=>[10,5,4,8,7,1,2,3,9,6]
[6,9,3,2,7,8,4,5,1,10]=>[10,1,5,4,8,7,2,3,9,6]
[2,1,6,3,5,9,10,4,7,8]=>[8,7,4,10,9,5,3,6,1,2]
[2,6,3,5,9,1,10,4,7,8]=>[8,7,4,10,1,9,5,3,6,2]
[2,1,6,9,3,5,10,4,7,8]=>[8,7,4,10,5,3,9,6,1,2]
[2,6,9,3,1,5,10,4,7,8]=>[8,7,4,10,5,1,3,9,6,2]
[2,6,9,3,5,10,4,1,7,8]=>[8,7,1,4,10,5,3,9,6,2]
[6,9,3,2,1,5,10,4,7,8]=>[8,7,4,10,5,1,2,3,9,6]
[6,9,3,2,5,10,4,1,7,8]=>[8,7,1,4,10,5,2,3,9,6]
[2,1,6,9,10,3,7,8,4,5]=>[5,4,8,7,3,10,9,6,1,2]
[2,6,9,1,10,3,7,8,4,5]=>[5,4,8,7,3,10,1,9,6,2]
[2,6,9,10,3,1,7,8,4,5]=>[5,4,8,7,1,3,10,9,6,2]
[6,9,2,1,10,3,7,8,4,5]=>[5,4,8,7,3,10,1,2,9,6]
[6,9,2,10,3,1,7,8,4,5]=>[5,4,8,7,1,3,10,2,9,6]
[6,9,2,10,3,7,8,4,5,1]=>[1,5,4,8,7,3,10,2,9,6]
[1,9,2,6,3,5,10,4,7,8]=>[8,7,4,10,5,3,6,2,9,1]
[9,2,1,6,3,5,10,4,7,8]=>[8,7,4,10,5,3,6,1,2,9]
[9,2,6,3,5,10,4,1,7,8]=>[8,7,1,4,10,5,3,6,2,9]
[2,1,9,6,3,5,10,4,7,8]=>[8,7,4,10,5,3,6,9,1,2]
[2,9,6,3,5,10,4,1,7,8]=>[8,7,1,4,10,5,3,6,9,2]
[1,9,2,6,10,3,7,8,4,5]=>[5,4,8,7,3,10,6,2,9,1]
[9,2,1,6,10,3,7,8,4,5]=>[5,4,8,7,3,10,6,1,2,9]
[9,2,6,10,3,1,7,8,4,5]=>[5,4,8,7,1,3,10,6,2,9]
[9,2,6,10,3,7,8,4,5,1]=>[1,5,4,8,7,3,10,6,2,9]
[2,1,9,6,10,3,7,8,4,5]=>[5,4,8,7,3,10,6,9,1,2]
[2,9,6,10,3,1,7,8,4,5]=>[5,4,8,7,1,3,10,6,9,2]
[2,9,6,10,3,7,8,4,5,1]=>[1,5,4,8,7,3,10,6,9,2]
[9,6,10,3,2,1,7,8,4,5]=>[5,4,8,7,1,2,3,10,6,9]
[9,6,10,3,2,7,8,4,5,1]=>[1,5,4,8,7,2,3,10,6,9]
[2,1,9,3,6,5,10,4,7,8]=>[8,7,4,10,5,6,3,9,1,2]
[2,9,3,6,5,10,4,1,7,8]=>[8,7,1,4,10,5,6,3,9,2]
[2,1,9,3,6,10,7,8,4,5]=>[5,4,8,7,10,6,3,9,1,2]
[2,9,3,6,1,10,7,8,4,5]=>[5,4,8,7,10,1,6,3,9,2]
[2,9,3,6,10,7,8,4,5,1]=>[1,5,4,8,7,10,6,3,9,2]
[9,3,6,2,1,10,7,8,4,5]=>[5,4,8,7,10,1,2,6,3,9]
[4,10,3,1,5,6,7,8,9,2]=>[2,9,8,7,6,5,1,3,10,4]
[5,10,3,4,1,6,7,8,9,2]=>[2,9,8,7,6,1,4,3,10,5]
[7,10,3,4,5,6,1,8,9,2]=>[2,9,8,1,6,5,4,3,10,7]
[10,9,2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2,9,10]
[8,7,2,4,10,1,3,5,6,9]=>[9,6,5,3,1,10,4,2,7,8]
[2,10,7,9,4,1,3,5,6,8]=>[8,6,5,3,1,4,9,7,10,2]
[2,10,9,8,4,1,3,5,6,7]=>[7,6,5,3,1,4,8,9,10,2]
[6,5,2,8,10,1,3,4,7,9]=>[9,7,4,3,1,10,8,2,5,6]
[6,10,5,9,2,1,3,4,7,8]=>[8,7,4,3,1,2,9,5,10,6]
[2,8,5,1,7,10,3,4,6,9]=>[9,6,4,3,10,7,1,5,8,2]
[2,5,10,7,1,3,9,4,6,8]=>[8,6,4,9,3,1,7,10,5,2]
[10,9,8,2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2,8,9,10]
[2,1,8,7,6,10,3,4,5,9]=>[9,5,4,3,10,6,7,8,1,2]
[2,10,7,1,6,3,9,4,5,8]=>[8,5,4,9,3,6,1,7,10,2]
[10,2,1,6,3,9,8,4,5,7]=>[7,5,4,8,9,3,6,1,2,10]
[2,1,3,10,9,8,7,4,5,6]=>[6,5,4,7,8,9,10,3,1,2]
[1,4,3,6,8,10,2,5,7,9]=>[9,7,5,2,10,8,6,3,4,1]
[10,1,4,9,3,6,2,5,7,8]=>[8,7,5,2,6,3,9,4,1,10]
[4,8,3,1,7,10,2,5,6,9]=>[9,6,5,2,10,7,1,3,8,4]
[4,3,10,7,1,9,2,5,6,8]=>[8,6,5,2,9,1,7,10,3,4]
[10,9,4,1,8,3,2,5,6,7]=>[7,6,5,2,3,8,1,4,9,10]
[3,1,6,2,5,8,10,4,7,9]=>[9,7,4,10,8,5,2,6,1,3]
[6,10,1,3,5,2,9,4,7,8]=>[8,7,4,9,2,5,3,1,10,6]
[3,5,1,8,2,4,7,10,6,9]=>[9,6,10,7,4,2,8,1,5,3]
[3,5,7,1,10,2,4,6,9,8]=>[8,9,6,4,2,10,1,7,5,3]
[10,9,3,1,5,2,4,6,8,7]=>[7,8,6,4,2,5,1,3,9,10]
[1,8,7,3,2,4,6,10,5,9]=>[9,5,10,6,4,2,3,7,8,1]
[7,6,3,1,10,2,4,5,9,8]=>[8,9,5,4,2,10,1,3,6,7]
[3,1,10,6,2,9,4,5,8,7]=>[7,8,5,4,9,2,6,10,1,3]
[1,3,2,10,9,8,4,5,7,6]=>[6,7,5,4,8,9,10,2,3,1]
[1,2,6,5,4,8,10,3,7,9]=>[9,7,3,10,8,4,5,6,2,1]
[6,1,5,10,4,2,9,3,7,8]=>[8,7,3,9,2,4,10,5,1,6]
[5,1,4,2,8,3,7,10,6,9]=>[9,6,10,7,3,8,2,4,1,5]
[5,1,4,7,2,10,3,6,9,8]=>[8,9,6,3,10,2,7,4,1,5]
[5,1,10,4,2,9,3,6,8,7]=>[7,8,6,3,9,2,4,10,1,5]
[1,4,2,8,3,7,6,10,5,9]=>[9,5,10,6,7,3,8,2,4,1]
[4,7,1,2,6,3,10,5,9,8]=>[8,9,5,10,3,6,2,1,7,4]
[4,1,6,2,10,3,5,9,8,7]=>[7,8,9,5,3,10,2,6,1,4]
[1,2,10,9,4,3,5,8,7,6]=>[6,7,8,5,3,4,9,10,2,1]
[1,2,3,8,7,6,5,10,4,9]=>[9,4,10,5,6,7,8,3,2,1]
[7,1,2,6,5,3,10,4,9,8]=>[8,9,4,10,3,5,6,2,1,7]
[1,6,2,5,3,10,4,9,8,7]=>[7,8,9,4,10,3,5,2,6,1]
[1,2,5,3,10,4,9,8,7,6]=>[6,7,8,9,4,10,3,5,2,1]
[1,6,7,8,9,10,2,5,3,4]=>[4,3,5,2,10,9,8,7,6,1]
[1,6,7,8,9,10,5,2,3,4]=>[4,3,2,5,10,9,8,7,6,1]
[7,2,8,9,10,5,1,3,4,6]=>[6,4,3,1,5,10,9,8,2,7]
[1,7,8,9,4,10,2,3,5,6]=>[6,5,3,2,10,4,9,8,7,1]
[1,7,8,3,9,10,2,4,5,6]=>[6,5,4,2,10,9,3,8,7,1]
[7,2,1,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,1,2,7]
[7,3,6,8,9,10,1,4,5,2]=>[2,5,4,1,10,9,8,6,3,7]
[8,4,6,7,9,10,5,3,1,2]=>[2,1,3,5,10,9,7,6,4,8]
[10,5,7,8,9,4,6,1,2,3]=>[3,2,1,6,4,9,8,7,5,10]
[9,6,7,8,3,5,10,1,2,4]=>[4,2,1,10,5,3,8,7,6,9]
[9,7,2,3,8,10,1,4,5,6]=>[6,5,4,1,10,8,3,2,7,9]
[2,8,1,7,9,10,3,4,5,6]=>[6,5,4,3,10,9,7,1,8,2]
[10,1,8,3,6,5,7,4,9,2]=>[2,9,4,7,5,6,3,8,1,10]
[10,6,3,9,5,2,8,4,1,7]=>[7,1,4,8,2,5,9,3,6,10]
[3,8,5,10,2,7,4,9,1,6]=>[6,1,9,4,7,2,10,5,8,3]
[10,7,4,2,9,6,3,1,8,5]=>[5,8,1,3,6,9,2,4,7,10]
[6,10,4,8,2,5,9,3,7,1]=>[1,7,3,9,5,2,8,4,10,6]
[10,4,8,2,6,9,3,7,1,5]=>[5,1,7,3,9,6,2,8,4,10]
[10,6,2,8,4,9,5,1,7,3]=>[3,7,1,5,9,4,8,2,6,10]
[10,6,2,4,8,9,5,1,3,7]=>[7,3,1,5,9,8,4,2,6,10]
[5,10,2,7,3,8,4,9,1,6]=>[6,1,9,4,8,3,7,2,10,5]
[6,8,10,2,3,4,5,7,9,1]=>[1,9,7,5,4,3,2,10,8,6]
[10,4,2,6,7,8,9,3,1,5]=>[5,1,3,9,8,7,6,2,4,10]
[6,10,4,8,1,2,5,9,3,7]=>[7,3,9,5,2,1,8,4,10,6]
[10,6,8,4,1,2,9,5,7,3]=>[3,7,5,9,2,1,4,8,6,10]
[10,6,4,8,1,2,9,5,3,7]=>[7,3,5,9,2,1,8,4,6,10]
[10,6,4,8,2,1,9,5,3,7]=>[7,3,5,9,1,2,8,4,6,10]
[10,2,8,6,5,4,3,9,1,7]=>[7,1,9,3,4,5,6,8,2,10]
[8,10,2,6,5,4,3,7,9,1]=>[1,9,7,3,4,5,6,2,10,8]
[10,2,4,8,7,6,5,9,1,3]=>[3,1,9,5,6,7,8,4,2,10]
[10,6,8,4,3,2,1,9,5,7]=>[7,5,9,1,2,3,4,8,6,10]
[10,8,6,2,4,1,3,9,7,5]=>[5,7,9,3,1,4,2,6,8,10]
[10,6,8,2,4,1,3,9,5,7]=>[7,5,9,3,1,4,2,8,6,10]
[10,6,8,4,2,3,1,9,5,7]=>[7,5,9,1,3,2,4,8,6,10]
[10,6,8,4,2,1,3,9,5,7]=>[7,5,9,3,1,2,4,8,6,10]
[8,10,4,6,1,2,3,5,7,9]=>[9,7,5,3,2,1,6,4,10,8]
[10,8,4,6,1,2,3,5,9,7]=>[7,9,5,3,2,1,6,4,8,10]
[10,8,6,4,1,2,5,3,9,7]=>[7,9,3,5,2,1,4,6,8,10]
[10,8,6,4,2,1,5,3,9,7]=>[7,9,3,5,1,2,4,6,8,10]
[2,6,1,3,8,5,10,7,9,4]=>[4,9,7,10,5,8,3,1,6,2]
[6,1,4,8,3,5,10,7,9,2]=>[2,9,7,10,5,3,8,4,1,6]
[5,4,1,8,2,3,10,7,9,6]=>[6,9,7,10,3,2,8,1,4,5]
[2,3,8,1,4,5,10,7,9,6]=>[6,9,7,10,5,4,1,8,3,2]
[4,1,8,3,6,10,5,7,9,2]=>[2,9,7,5,10,6,3,8,1,4]
[2,8,1,3,6,10,5,7,9,4]=>[4,9,7,5,10,6,3,1,8,2]
[8,1,7,6,3,10,4,5,9,2]=>[2,9,5,4,10,3,6,7,1,8]
[5,7,1,6,2,10,4,3,9,8]=>[8,9,3,4,10,2,6,1,7,5]
[2,7,6,1,4,10,3,5,9,8]=>[8,9,5,3,10,4,1,6,7,2]
[8,1,4,5,10,3,6,7,9,2]=>[2,9,7,6,3,10,5,4,1,8]
[7,4,1,5,10,2,6,3,9,8]=>[8,9,3,6,2,10,5,1,4,7]
[6,3,5,1,10,2,4,7,9,8]=>[8,9,7,4,2,10,1,5,3,6]
[2,3,4,10,1,5,6,7,9,8]=>[8,9,7,6,5,1,10,4,3,2]
[4,1,6,3,10,5,8,7,9,2]=>[2,9,7,8,5,10,3,6,1,4]
[2,6,1,3,10,5,8,7,9,4]=>[4,9,7,8,5,10,3,1,6,2]
[6,1,4,10,3,5,8,7,9,2]=>[2,9,7,8,5,3,10,4,1,6]
[5,4,1,10,2,3,8,7,9,6]=>[6,9,7,8,3,2,10,1,4,5]
[2,3,10,1,4,5,8,7,9,6]=>[6,9,7,8,5,4,1,10,3,2]
[4,1,10,3,9,8,5,6,7,2]=>[2,7,6,5,8,9,3,10,1,4]
[2,10,1,3,9,8,5,6,7,4]=>[4,7,6,5,8,9,3,1,10,2]
[10,1,7,9,3,8,4,6,5,2]=>[2,5,6,4,8,3,9,7,1,10]
[2,7,9,1,4,8,3,6,5,10]=>[10,5,6,3,8,4,1,9,7,2]
[10,1,4,9,8,3,6,5,7,2]=>[2,7,5,6,3,8,9,4,1,10]
[7,4,1,9,8,2,6,5,3,10]=>[10,3,5,6,2,8,9,1,4,7]
[6,3,9,1,8,2,4,5,7,10]=>[10,7,5,4,2,8,1,9,3,6]
[2,3,9,8,1,5,6,4,7,10]=>[10,7,4,6,5,1,8,9,3,2]
[4,1,10,3,6,7,5,8,9,2]=>[2,9,8,5,7,6,3,10,1,4]
[2,10,1,3,6,7,5,8,9,4]=>[4,9,8,5,7,6,3,1,10,2]
[10,1,9,6,3,7,4,8,5,2]=>[2,5,8,4,7,3,6,9,1,10]
[5,9,1,6,2,7,4,8,3,10]=>[10,3,8,4,7,2,6,1,9,5]
[2,9,6,1,4,7,3,8,5,10]=>[10,5,8,3,7,4,1,6,9,2]
[10,1,8,5,7,3,4,6,9,2]=>[2,9,6,4,3,7,5,8,1,10]
[9,8,1,5,7,2,4,6,3,10]=>[10,3,6,4,2,7,5,1,8,9]
[2,8,4,7,1,5,3,6,9,10]=>[10,9,6,3,5,1,7,4,8,2]
[10,1,4,5,6,3,7,8,9,2]=>[2,9,8,7,3,6,5,4,1,10]
[9,4,1,5,6,2,7,8,3,10]=>[10,3,8,7,2,6,5,1,4,9]
[8,3,5,1,6,2,7,4,9,10]=>[10,9,4,7,2,6,1,5,3,8]
[1,2,3,5,4,9,7,6,10,8]=>[8,10,6,7,9,4,5,3,2,1]
[1,2,3,9,5,4,10,7,6,8]=>[8,6,7,10,4,5,9,3,2,1]
[1,2,3,7,5,4,9,8,6,10]=>[10,6,8,9,4,5,7,3,2,1]
[1,2,3,7,9,5,4,8,10,6]=>[6,10,8,4,5,9,7,3,2,1]
[1,3,2,4,5,9,7,6,10,8]=>[8,10,6,7,9,5,4,2,3,1]
[1,3,2,5,4,9,7,6,10,8]=>[8,10,6,7,9,4,5,2,3,1]
[1,3,2,7,5,4,8,6,9,10]=>[10,9,6,8,4,5,7,2,3,1]
[1,3,2,9,5,4,10,7,6,8]=>[8,6,7,10,4,5,9,2,3,1]
[1,3,2,7,5,4,9,8,6,10]=>[10,6,8,9,4,5,7,2,3,1]
[1,3,2,7,9,5,4,8,10,6]=>[6,10,8,4,5,9,7,2,3,1]
[1,5,3,2,6,4,7,8,9,10]=>[10,9,8,7,4,6,2,3,5,1]
[1,5,3,2,6,4,7,9,8,10]=>[10,8,9,7,4,6,2,3,5,1]
[1,7,3,2,8,5,4,6,9,10]=>[10,9,6,4,5,8,2,3,7,1]
[1,9,3,2,10,5,4,7,6,8]=>[8,6,7,4,5,10,2,3,9,1]
[1,7,3,2,8,9,5,4,10,6]=>[6,10,4,5,9,8,2,3,7,1]
[1,5,3,2,7,6,4,8,9,10]=>[10,9,8,4,6,7,2,3,5,1]
[1,5,3,2,7,6,4,9,8,10]=>[10,8,9,4,6,7,2,3,5,1]
[1,7,3,2,9,8,5,4,10,6]=>[6,10,4,5,8,9,2,3,7,1]
[1,7,3,2,5,9,8,4,6,10]=>[10,6,4,8,9,5,2,3,7,1]
[1,5,7,3,2,6,8,4,9,10]=>[10,9,4,8,6,2,3,7,5,1]
[1,7,9,3,2,8,10,5,4,6]=>[6,4,5,10,8,2,3,9,7,1]
[1,5,7,3,2,6,9,8,4,10]=>[10,4,8,9,6,2,3,7,5,1]
[1,5,9,3,2,7,6,10,4,8]=>[8,4,10,6,7,2,3,9,5,1]
[1,5,9,7,3,2,6,10,8,4]=>[4,8,10,6,2,3,7,9,5,1]
[6,5,10,9,8,7,4,3,2,1]=>[1,2,3,4,7,8,9,10,5,6]
[2,3,4,5,6,9,8,7,1,10]=>[10,1,7,8,9,6,5,4,3,2]
[2,3,4,5,9,7,8,6,1,10]=>[10,1,6,8,7,9,5,4,3,2]
[2,3,4,10,6,7,8,5,1,9]=>[9,1,5,8,7,6,10,4,3,2]
[2,3,9,5,6,7,8,4,1,10]=>[10,1,4,8,7,6,5,9,3,2]
[2,9,4,5,6,7,8,3,1,10]=>[10,1,3,8,7,6,5,4,9,2]
[2,3,4,5,6,9,7,1,10,8]=>[8,10,1,7,9,6,5,4,3,2]
[2,3,4,5,10,8,1,6,9,7]=>[7,9,6,1,8,10,5,4,3,2]
[2,3,4,10,7,1,8,5,9,6]=>[6,9,5,8,1,7,10,4,3,2]
[2,3,9,6,1,7,8,4,10,5]=>[5,10,4,8,7,1,6,9,3,2]
[2,10,5,1,6,7,8,3,9,4]=>[4,9,3,8,7,6,1,5,10,2]
[10,4,1,5,6,7,8,2,9,3]=>[3,9,2,8,7,6,5,1,4,10]
[10,9,7,4,6,5,3,8,2,1]=>[1,2,8,3,5,6,4,7,9,10]
[2,1,4,3,9,8,5,10,6,7]=>[7,6,10,5,8,9,3,4,1,2]
[2,1,4,3,6,7,10,5,8,9]=>[9,8,5,10,7,6,3,4,1,2]
[2,1,7,6,3,8,4,5,10,9]=>[9,10,5,4,8,3,6,7,1,2]
[2,1,7,9,3,8,4,10,6,5]=>[5,6,10,4,8,3,9,7,1,2]
[2,1,9,6,3,7,10,4,8,5]=>[5,8,4,10,7,3,6,9,1,2]
[2,1,4,5,8,3,6,7,10,9]=>[9,10,7,6,3,8,5,4,1,2]
[2,1,4,9,8,3,6,10,5,7]=>[7,5,10,6,3,8,9,4,1,2]
[2,1,8,5,7,3,10,4,6,9]=>[9,6,4,10,3,7,5,8,1,2]
[2,1,4,5,6,10,3,7,8,9]=>[9,8,7,3,10,6,5,4,1,2]
[2,4,1,3,9,8,5,10,6,7]=>[7,6,10,5,8,9,3,1,4,2]
[2,4,1,3,6,7,10,5,8,9]=>[9,8,5,10,7,6,3,1,4,2]
[5,4,1,6,2,3,8,7,10,9]=>[9,10,7,8,3,2,6,1,4,5]
[5,4,1,6,2,3,8,10,7,9]=>[9,7,10,8,3,2,6,1,4,5]
[5,7,1,6,2,8,4,3,10,9]=>[9,10,3,4,8,2,6,1,7,5]
[5,9,1,6,2,7,10,4,8,3]=>[3,8,4,10,7,2,6,1,9,5]
[7,4,1,5,8,2,6,3,10,9]=>[9,10,3,6,2,8,5,1,4,7]
[7,4,1,9,8,2,6,10,5,3]=>[3,5,10,6,2,8,9,1,4,7]
[9,8,1,5,7,2,10,4,6,3]=>[3,6,4,10,2,7,5,1,8,9]
[9,4,1,5,6,10,2,7,8,3]=>[3,8,7,2,10,6,5,1,4,9]
[2,3,6,1,4,5,8,7,10,9]=>[9,10,7,8,5,4,1,6,3,2]
[2,3,6,1,4,5,8,10,7,9]=>[9,7,10,8,5,4,1,6,3,2]
[2,7,6,1,4,8,3,5,10,9]=>[9,10,5,3,8,4,1,6,7,2]
[2,7,9,1,4,8,3,10,6,5]=>[5,6,10,3,8,4,1,9,7,2]
[2,9,6,1,4,7,10,3,8,5]=>[5,8,3,10,7,4,1,6,9,2]
[6,3,5,1,8,2,4,7,10,9]=>[9,10,7,4,2,8,1,5,3,6]
[6,3,9,1,8,2,4,10,5,7]=>[7,5,10,4,2,8,1,9,3,6]
[8,3,5,1,6,10,2,7,4,9]=>[9,4,7,2,10,6,1,5,3,8]
[2,3,4,8,1,5,6,7,10,9]=>[9,10,7,6,5,1,8,4,3,2]
[2,3,9,8,1,5,6,10,4,7]=>[7,4,10,6,5,1,8,9,3,2]
[2,8,4,7,1,5,10,3,6,9]=>[9,6,3,10,5,1,7,4,8,2]
[1,2,4,3,5,6,7,10,8,9]=>[9,8,10,7,6,5,3,4,2,1]
[1,2,3,5,4,6,7,8,10,9]=>[9,10,8,7,6,4,5,3,2,1]
[4,3,1,2,5,6,7,10,8,9]=>[9,8,10,7,6,5,2,1,3,4]
[5,1,4,2,3,6,7,10,8,9]=>[9,8,10,7,6,3,2,4,1,5]
[5,1,2,6,3,4,7,10,8,9]=>[9,8,10,7,4,3,6,2,1,5]
[7,1,2,3,6,4,5,10,8,9]=>[9,8,10,5,4,6,3,2,1,7]
[10,1,5,9,4,8,3,7,2,6]=>[6,2,7,3,8,4,9,5,1,10]
[10,2,7,4,9,1,6,3,8,5]=>[5,8,3,6,1,9,4,7,2,10]
[10,1,6,4,9,3,8,2,7,5]=>[5,7,2,8,3,9,4,6,1,10]
[10,1,7,5,3,9,2,8,6,4]=>[4,6,8,2,9,3,5,7,1,10]
[10,3,9,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,9,3,10]
[10,2,9,1,8,4,5,6,7,3]=>[3,7,6,5,4,8,1,9,2,10]
[4,1,6,3,9,5,10,8,7,2]=>[2,7,8,10,5,9,3,6,1,4]
[4,1,7,3,8,10,5,6,9,2]=>[2,9,6,5,10,8,3,7,1,4]
[4,1,7,3,9,10,5,8,6,2]=>[2,6,8,5,10,9,3,7,1,4]
[4,1,8,3,9,10,7,5,6,2]=>[2,6,5,7,10,9,3,8,1,4]
[5,1,6,8,3,4,10,7,9,2]=>[2,9,7,10,4,3,8,6,1,5]
[5,1,6,9,3,4,10,8,7,2]=>[2,7,8,10,4,3,9,6,1,5]
[5,1,7,8,3,10,4,6,9,2]=>[2,9,6,4,10,3,8,7,1,5]
[5,1,7,9,3,10,4,8,6,2]=>[2,6,8,4,10,3,9,7,1,5]
[5,1,8,9,3,10,7,4,6,2]=>[2,6,4,7,10,3,9,8,1,5]
[6,1,7,8,10,3,4,5,9,2]=>[2,9,5,4,3,10,8,7,1,6]
[6,1,7,9,10,3,4,8,5,2]=>[2,5,8,4,3,10,9,7,1,6]
[6,1,8,9,10,3,7,4,5,2]=>[2,5,4,7,3,10,9,8,1,6]
[7,1,8,9,10,6,3,4,5,2]=>[2,5,4,3,6,10,9,8,1,7]
[4,6,1,2,8,5,10,7,9,3]=>[3,9,7,10,5,8,2,1,6,4]
[4,6,1,2,9,5,10,8,7,3]=>[3,7,8,10,5,9,2,1,6,4]
[4,7,1,2,8,10,5,6,9,3]=>[3,9,6,5,10,8,2,1,7,4]
[4,7,1,2,9,10,5,8,6,3]=>[3,6,8,5,10,9,2,1,7,4]
[4,8,1,2,9,10,7,5,6,3]=>[3,6,5,7,10,9,2,1,8,4]
[5,6,1,8,2,4,10,7,9,3]=>[3,9,7,10,4,2,8,1,6,5]
[5,6,1,9,2,4,10,8,7,3]=>[3,7,8,10,4,2,9,1,6,5]
[5,7,1,8,2,10,4,6,9,3]=>[3,9,6,4,10,2,8,1,7,5]
[5,7,1,9,2,10,4,8,6,3]=>[3,6,8,4,10,2,9,1,7,5]
[5,8,1,9,2,10,7,4,6,3]=>[3,6,4,7,10,2,9,1,8,5]
[6,7,1,8,10,2,4,5,9,3]=>[3,9,5,4,2,10,8,1,7,6]
[6,7,1,9,10,2,4,8,5,3]=>[3,5,8,4,2,10,9,1,7,6]
[6,8,1,9,10,2,7,4,5,3]=>[3,5,4,7,2,10,9,1,8,6]
[7,8,1,9,10,6,2,4,5,3]=>[3,5,4,2,6,10,9,1,8,7]
[5,6,8,1,2,3,10,7,9,4]=>[4,9,7,10,3,2,1,8,6,5]
[5,6,9,1,2,3,10,8,7,4]=>[4,7,8,10,3,2,1,9,6,5]
[5,7,8,1,2,10,3,6,9,4]=>[4,9,6,3,10,2,1,8,7,5]
[5,7,9,1,2,10,3,8,6,4]=>[4,6,8,3,10,2,1,9,7,5]
[5,8,9,1,2,10,7,3,6,4]=>[4,6,3,7,10,2,1,9,8,5]
[6,7,8,1,10,2,3,5,9,4]=>[4,9,5,3,2,10,1,8,7,6]
[6,7,9,1,10,2,3,8,5,4]=>[4,5,8,3,2,10,1,9,7,6]
[6,8,9,1,10,2,7,3,5,4]=>[4,5,3,7,2,10,1,9,8,6]
[7,8,9,1,10,6,2,3,5,4]=>[4,5,3,2,6,10,1,9,8,7]
[10,8,6,3,4,1,2,5,7,9]=>[9,7,5,2,1,4,3,6,8,10]
[10,8,5,3,6,1,2,4,7,9]=>[9,7,4,2,1,6,3,5,8,10]
[10,7,5,3,8,1,2,4,6,9]=>[9,6,4,2,1,8,3,5,7,10]
[7,5,3,1,9,2,4,6,8,10]=>[10,8,6,4,2,9,1,3,5,7]
[9,5,3,1,7,2,4,6,8,10]=>[10,8,6,4,2,7,1,3,5,9]
[9,7,3,1,5,2,4,6,8,10]=>[10,8,6,4,2,5,1,3,7,9]
[9,7,5,1,3,2,4,6,8,10]=>[10,8,6,4,2,3,1,5,7,9]
[10,7,6,5,1,4,3,9,2,8]=>[8,2,9,3,4,1,5,6,7,10]
[9,7,6,5,1,4,10,3,8,2]=>[2,8,3,10,4,1,5,6,7,9]
[8,7,6,5,3,4,10,1,9,2]=>[2,9,1,10,4,3,5,6,7,8]
[8,6,5,4,1,3,10,2,9,7]=>[7,9,2,10,3,1,4,5,6,8]
[10,7,6,2,5,4,9,3,1,8]=>[8,1,3,9,4,5,2,6,7,10]
[3,1,5,7,2,4,6,8,9,10]=>[10,9,8,6,4,2,7,5,1,3]
[4,2,1,6,3,5,7,8,9,10]=>[10,9,8,7,5,3,6,1,2,4]
[4,6,1,2,8,3,5,7,9,10]=>[10,9,7,5,3,8,2,1,6,4]
[4,2,1,6,8,3,5,7,9,10]=>[10,9,7,5,3,8,6,1,2,4]
[5,2,7,1,3,4,6,8,9,10]=>[10,9,8,6,4,3,1,7,2,5]
[5,3,1,2,7,4,6,8,9,10]=>[10,9,8,6,4,7,2,1,3,5]
[4,6,1,2,8,10,3,5,7,9]=>[9,7,5,3,10,8,2,1,6,4]
[4,2,1,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,1,2,4]
[5,3,1,2,7,9,4,6,8,10]=>[10,8,6,4,9,7,2,1,3,5]
[6,8,2,4,1,3,5,7,9,10]=>[10,9,7,5,3,1,4,2,8,6]
[6,3,1,8,2,4,5,7,9,10]=>[10,9,7,5,4,2,8,1,3,6]
[6,4,2,1,3,8,5,7,9,10]=>[10,9,7,5,8,3,1,2,4,6]
[6,8,2,4,1,3,10,5,7,9]=>[9,7,5,10,3,1,4,2,8,6]
[6,3,1,8,2,4,10,5,7,9]=>[9,7,5,10,4,2,8,1,3,6]
[6,4,2,1,3,8,10,5,7,9]=>[9,7,5,10,8,3,1,2,4,6]
[7,3,9,1,5,2,4,6,8,10]=>[10,8,6,4,2,5,1,9,3,7]
[7,4,2,1,9,3,5,6,8,10]=>[10,8,6,5,3,9,1,2,4,7]
[7,5,3,1,2,4,9,6,8,10]=>[10,8,6,9,4,2,1,3,5,7]
[8,4,2,10,1,6,3,5,7,9]=>[9,7,5,3,6,1,10,2,4,8]
[8,5,3,1,2,10,4,6,7,9]=>[9,7,6,4,10,2,1,3,5,8]
[8,6,4,2,1,3,5,10,7,9]=>[9,7,10,5,3,1,2,4,6,8]
[4,10,1,2,6,3,8,5,9,7]=>[7,9,5,8,3,6,2,1,10,4]
[4,10,6,2,3,1,8,5,9,7]=>[7,9,5,8,1,3,2,6,10,4]
[4,10,6,2,8,1,5,3,9,7]=>[7,9,3,5,1,8,2,6,10,4]
[4,10,6,2,8,1,9,3,5,7]=>[7,5,3,9,1,8,2,6,10,4]
[4,10,6,2,7,1,3,9,5,8]=>[8,5,9,3,1,7,2,6,10,4]
[4,10,5,2,1,7,3,9,6,8]=>[8,6,9,3,7,1,2,5,10,4]
[3,10,2,5,1,7,4,9,6,8]=>[8,6,9,4,7,1,5,2,10,3]
[9,3,1,4,2,6,5,8,7,10]=>[10,7,8,5,6,2,4,1,3,9]
[9,3,1,5,2,6,4,8,7,10]=>[10,7,8,4,6,2,5,1,3,9]
[9,3,1,5,2,7,4,8,6,10]=>[10,6,8,4,7,2,5,1,3,9]
[10,3,1,5,2,7,4,6,9,8]=>[8,9,6,4,7,2,5,1,3,10]
[10,3,1,5,2,4,7,6,9,8]=>[8,9,6,7,4,2,5,1,3,10]
[10,3,1,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,1,3,10]
[10,9,6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6,9,10]
[1,9,8,6,5,4,7,3,2,10]=>[10,2,3,7,4,5,6,8,9,1]
[1,9,8,4,7,6,5,3,2,10]=>[10,2,3,5,6,7,4,8,9,1]
[6,4,2,8,1,10,9,7,5,3]=>[3,5,7,9,10,1,8,2,4,6]
[4,2,8,6,1,10,9,7,5,3]=>[3,5,7,9,10,1,6,8,2,4]
[2,8,6,4,1,10,9,7,5,3]=>[3,5,7,9,10,1,4,6,8,2]
[10,8,6,7,9,4,5,2,3,1]=>[1,3,2,5,4,9,7,6,8,10]
[10,8,6,7,4,5,9,2,3,1]=>[1,3,2,9,5,4,7,6,8,10]
[10,8,9,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,9,8,10]
[10,8,6,4,5,7,9,2,3,1]=>[1,3,2,9,7,5,4,6,8,10]
[10,8,6,7,4,5,2,3,9,1]=>[1,9,3,2,5,4,7,6,8,10]
[10,8,6,4,5,7,2,3,9,1]=>[1,9,3,2,7,5,4,6,8,10]
[10,8,9,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,9,8,10]
[10,8,6,4,5,2,3,7,9,1]=>[1,9,7,3,2,5,4,6,8,10]
[10,8,9,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,9,8,10]
[10,8,6,4,5,7,2,3,1,9]=>[9,1,3,2,7,5,4,6,8,10]
[10,8,6,4,5,2,3,7,1,9]=>[9,1,7,3,2,5,4,6,8,10]
[10,8,6,7,4,2,3,5,1,9]=>[9,1,5,3,2,4,7,6,8,10]
[10,8,6,4,2,3,5,7,1,9]=>[9,1,7,5,3,2,4,6,8,10]
[10,8,9,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,9,8,10]
[10,8,6,4,5,2,3,1,7,9]=>[9,7,1,3,2,5,4,6,8,10]
[10,8,6,4,2,3,5,1,7,9]=>[9,7,1,5,3,2,4,6,8,10]
[10,8,6,7,9,4,2,3,1,5]=>[5,1,3,2,4,9,7,6,8,10]
[10,8,6,7,4,2,3,1,5,9]=>[9,5,1,3,2,4,7,6,8,10]
[10,8,9,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,9,8,10]
[10,8,6,7,9,4,5,2,1,3]=>[3,1,2,5,4,9,7,6,8,10]
[10,8,6,7,4,5,9,2,1,3]=>[3,1,2,9,5,4,7,6,8,10]
[10,8,6,7,4,5,2,1,3,9]=>[9,3,1,2,5,4,7,6,8,10]
[10,8,9,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,9,8,10]
[10,8,6,7,9,4,2,1,3,5]=>[5,3,1,2,4,9,7,6,8,10]
[10,8,6,7,4,2,1,3,5,9]=>[9,5,3,1,2,4,7,6,8,10]
[10,8,9,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,9,8,10]
[2,10,4,1,6,3,7,8,9,5]=>[5,9,8,7,3,6,1,4,10,2]
[2,10,4,1,6,7,8,3,9,5]=>[5,9,3,8,7,6,1,4,10,2]
[2,10,4,1,5,7,9,8,6,3]=>[3,6,8,9,7,5,1,4,10,2]
[2,10,4,1,5,6,7,8,9,3]=>[3,9,8,7,6,5,1,4,10,2]
[2,10,4,5,6,1,8,3,9,7]=>[7,9,3,8,1,6,5,4,10,2]
[2,10,4,5,6,1,7,8,9,3]=>[3,9,8,7,1,6,5,4,10,2]
[2,10,6,5,8,7,4,1,9,3]=>[3,9,1,4,7,8,5,6,10,2]
[2,10,3,5,9,7,4,8,6,1]=>[1,6,8,4,7,9,5,3,10,2]
[2,10,3,5,9,6,7,8,4,1]=>[1,4,8,7,6,9,5,3,10,2]
[2,10,4,5,6,7,8,1,9,3]=>[3,9,1,8,7,6,5,4,10,2]
[2,10,3,5,6,7,9,8,4,1]=>[1,4,8,9,7,6,5,3,10,2]
[2,10,3,4,6,8,7,5,9,1]=>[1,9,5,7,8,6,4,3,10,2]
[2,3,4,10,6,1,7,8,9,5]=>[5,9,8,7,1,6,10,4,3,2]
[2,3,4,10,5,7,9,8,6,1]=>[1,6,8,9,7,5,10,4,3,2]
[4,3,6,5,2,10,8,1,9,7]=>[7,9,1,8,10,2,5,6,3,4]
[4,3,6,5,2,10,7,8,9,1]=>[1,9,8,7,10,2,5,6,3,4]
[6,3,8,5,2,7,4,10,9,1]=>[1,9,10,4,7,2,5,8,3,6]
[1,3,9,5,2,7,4,8,6,10]=>[10,6,8,4,7,2,5,9,3,1]
[1,3,9,5,2,6,7,8,4,10]=>[10,4,8,7,6,2,5,9,3,1]
[4,3,8,5,6,7,2,10,9,1]=>[1,9,10,2,7,6,5,8,3,4]
[1,3,9,5,6,7,2,8,4,10]=>[10,4,8,2,7,6,5,9,3,1]
[1,3,9,4,6,8,7,5,2,10]=>[10,2,5,7,8,6,4,9,3,1]
[1,3,9,4,5,6,7,8,2,10]=>[10,2,8,7,6,5,4,9,3,1]
[6,3,4,5,8,7,2,10,9,1]=>[1,9,10,2,7,8,5,4,3,6]
[1,3,4,5,9,7,2,8,6,10]=>[10,6,8,2,7,9,5,4,3,1]
[1,3,4,5,9,6,7,8,2,10]=>[10,2,8,7,6,9,5,4,3,1]
[2,5,4,7,6,3,8,10,9,1]=>[1,9,10,8,3,6,7,4,5,2]
[1,5,4,7,6,3,9,8,2,10]=>[10,2,8,9,3,6,7,4,5,1]
[1,2,4,8,6,3,7,5,9,10]=>[10,9,5,7,3,6,8,4,2,1]
[1,2,4,8,5,6,7,3,9,10]=>[10,9,3,7,6,5,8,4,2,1]
[1,3,4,5,6,7,9,8,2,10]=>[10,2,8,9,7,6,5,4,3,1]
[1,2,4,5,6,8,7,3,9,10]=>[10,9,3,7,8,6,5,4,2,1]
[3,4,5,6,8,9,1,10,2,7]=>[7,2,10,1,9,8,6,5,4,3]
[3,4,5,6,8,1,9,10,2,7]=>[7,2,10,9,1,8,6,5,4,3]
[3,4,5,6,1,8,9,10,2,7]=>[7,2,10,9,8,1,6,5,4,3]
[7,8,4,9,2,5,1,10,6,3]=>[3,6,10,1,5,2,9,4,8,7]
[7,4,8,2,5,9,6,1,10,3]=>[3,10,1,6,9,5,2,8,4,7]
[7,8,4,9,2,1,5,3,10,6]=>[6,10,3,5,1,2,9,4,8,7]
[7,4,8,2,5,1,9,3,10,6]=>[6,10,3,9,1,5,2,8,4,7]
[7,4,8,2,1,5,3,9,6,10]=>[10,6,9,3,5,1,2,8,4,7]
[4,7,2,5,8,1,9,3,10,6]=>[6,10,3,9,1,8,5,2,7,4]
[3,4,5,6,7,8,10,9,1,2]=>[2,1,9,10,8,7,6,5,4,3]
[2,4,5,6,7,8,9,1,3,10]=>[10,3,1,9,8,7,6,5,4,2]
[10,3,5,6,7,8,9,1,4,2]=>[2,4,1,9,8,7,6,5,3,10]
[4,5,6,7,10,9,2,1,3,8]=>[8,3,1,2,9,10,7,6,5,4]
[10,4,2,1,6,7,8,9,5,3]=>[3,5,9,8,7,6,1,2,4,10]
[10,1,2,3,4,5,8,6,7,9]=>[9,7,6,8,5,4,3,2,1,10]
[10,2,1,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,1,2,10]
[4,10,1,2,3,5,8,6,7,9]=>[9,7,6,8,5,3,2,1,10,4]
[9,2,3,4,5,8,6,10,1,7]=>[7,1,10,6,8,5,4,3,2,9]
[5,3,10,1,2,4,6,9,7,8]=>[8,7,9,6,4,2,1,10,3,5]
[9,2,1,3,4,5,6,8,10,7]=>[7,10,8,6,5,4,3,1,2,9]
[2,7,6,1,3,10,5,4,9,8]=>[8,9,4,5,10,3,1,6,7,2]
[7,4,1,5,10,3,2,6,9,8]=>[8,9,6,2,3,10,5,1,4,7]
[2,7,9,1,3,8,5,6,4,10]=>[10,4,6,5,8,3,1,9,7,2]
[10,1,4,9,8,3,5,7,6,2]=>[2,6,7,5,3,8,9,4,1,10]
[7,4,1,9,8,3,2,5,6,10]=>[10,6,5,2,3,8,9,1,4,7]
[2,3,9,8,1,4,5,6,7,10]=>[10,7,6,5,4,1,8,9,3,2]
[2,9,6,1,3,7,5,8,4,10]=>[10,4,8,5,7,3,1,6,9,2]
[9,8,1,5,7,3,4,2,6,10]=>[10,6,2,4,3,7,5,1,8,9]
[2,8,4,7,1,3,6,5,9,10]=>[10,9,5,6,3,1,7,4,8,2]
[7,2,1,4,3,6,5,8,9,10]=>[10,9,8,5,6,3,4,1,2,7]
[5,2,1,4,3,8,9,7,6,10]=>[10,6,7,9,8,3,4,1,2,5]
[5,2,1,4,3,6,7,8,9,10]=>[10,9,8,7,6,3,4,1,2,5]
[7,2,1,6,5,4,3,8,9,10]=>[10,9,8,3,4,5,6,1,2,7]
[3,2,1,8,9,5,4,7,6,10]=>[10,6,7,4,5,9,8,1,2,3]
[3,2,1,6,7,5,4,8,9,10]=>[10,9,8,4,5,7,6,1,2,3]
[3,2,1,8,9,7,6,5,4,10]=>[10,4,5,6,7,9,8,1,2,3]
[3,2,1,4,7,8,9,6,5,10]=>[10,5,6,9,8,7,4,1,2,3]
[7,4,3,2,1,6,5,8,9,10]=>[10,9,8,5,6,1,2,3,4,7]
[5,4,3,2,1,8,9,7,6,10]=>[10,6,7,9,8,1,2,3,4,5]
[7,6,3,2,5,4,1,8,9,10]=>[10,9,8,1,4,5,2,3,6,7]
[1,8,9,3,2,5,4,7,6,10]=>[10,6,7,4,5,2,3,9,8,1]
[1,6,7,3,2,5,4,8,9,10]=>[10,9,8,4,5,2,3,7,6,1]
[1,8,9,3,2,7,6,5,4,10]=>[10,4,5,6,7,2,3,9,8,1]
[1,4,7,3,2,8,9,6,5,10]=>[10,5,6,9,8,2,3,7,4,1]
[1,4,5,3,2,6,7,8,9,10]=>[10,9,8,7,6,2,3,5,4,1]
[1,8,9,5,4,3,2,7,6,10]=>[10,6,7,2,3,4,5,9,8,1]
[1,6,7,5,4,3,2,8,9,10]=>[10,9,8,2,3,4,5,7,6,1]
[1,8,9,7,4,3,6,5,2,10]=>[10,2,5,6,3,4,7,9,8,1]
[1,2,7,8,9,4,3,6,5,10]=>[10,5,6,3,4,9,8,7,2,1]
[1,2,5,6,7,4,3,8,9,10]=>[10,9,8,3,4,7,6,5,2,1]
[1,2,7,8,9,6,5,4,3,10]=>[10,3,4,5,6,9,8,7,2,1]
[1,2,3,6,7,8,9,5,4,10]=>[10,4,5,9,8,7,6,3,2,1]
[1,10,8,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,8,10,1]
[1,9,2,3,4,5,6,10,8,7]=>[7,8,10,6,5,4,3,2,9,1]
[7,10,9,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,9,10,7]
[9,10,3,8,4,5,6,7,2,1]=>[1,2,7,6,5,4,8,3,10,9]
[6,9,2,3,4,5,10,8,7,1]=>[1,7,8,10,5,4,3,2,9,6]
[8,2,9,3,4,5,6,10,1,7]=>[7,1,10,6,5,4,3,9,2,8]
[4,1,7,3,8,5,10,2,9,6]=>[6,9,2,10,5,8,3,7,1,4]
[4,1,7,3,5,9,10,8,2,6]=>[6,2,8,10,9,5,3,7,1,4]
[5,1,6,3,8,2,10,7,9,4]=>[4,9,7,10,2,8,3,6,1,5]
[5,1,6,3,9,2,7,8,10,4]=>[4,10,8,7,2,9,3,6,1,5]
[5,1,7,10,8,3,4,6,9,2]=>[2,9,6,4,3,8,10,7,1,5]
[5,1,3,7,9,10,2,8,6,4]=>[4,6,8,2,10,9,7,3,1,5]
[5,1,3,8,9,6,7,2,10,4]=>[4,10,2,7,6,9,8,3,1,5]
[6,1,4,2,8,5,10,7,9,3]=>[3,9,7,10,5,8,2,4,1,6]
[6,1,4,2,9,5,7,8,10,3]=>[3,10,8,7,5,9,2,4,1,6]
[7,1,4,2,8,5,10,3,9,6]=>[6,9,3,10,5,8,2,4,1,7]
[7,1,4,2,5,9,10,8,3,6]=>[6,3,8,10,9,5,2,4,1,7]
[8,1,4,2,5,6,7,9,10,3]=>[3,10,9,7,6,5,2,4,1,8]
[8,6,5,1,4,3,10,7,9,2]=>[2,9,7,10,3,4,1,5,6,8]
[9,6,5,1,4,3,7,8,10,2]=>[2,10,8,7,3,4,1,5,6,9]
[10,7,5,8,2,1,6,3,9,4]=>[4,9,3,6,1,2,8,5,7,10]
[1,7,5,9,2,10,4,8,6,3]=>[3,6,8,4,10,2,9,5,7,1]
[1,8,5,9,2,6,7,4,10,3]=>[3,10,4,7,6,2,9,5,8,1]
[10,7,6,1,2,5,8,4,9,3]=>[3,9,4,8,5,2,1,6,7,10]
[1,7,6,9,4,2,10,8,3,5]=>[5,3,8,10,2,4,9,6,7,1]
[1,8,6,4,9,2,7,10,3,5]=>[5,3,10,7,2,9,4,6,8,1]
[1,8,7,4,5,6,2,9,10,3]=>[3,10,9,2,6,5,4,7,8,1]
[8,1,2,5,6,3,10,7,9,4]=>[4,9,7,10,3,6,5,2,1,8]
[9,1,2,5,6,3,7,8,10,4]=>[4,10,8,7,3,6,5,2,1,9]
[10,8,2,5,7,1,6,4,9,3]=>[3,9,4,6,1,7,5,2,8,10]
[1,9,2,5,7,10,3,8,6,4]=>[4,6,8,3,10,7,5,2,9,1]
[1,9,2,5,8,6,7,3,10,4]=>[4,10,3,7,6,8,5,2,9,1]
[10,1,8,6,2,7,5,4,9,3]=>[3,9,4,5,7,2,6,8,1,10]
[1,10,9,6,2,7,5,8,4,3]=>[3,4,8,5,7,2,6,9,10,1]
[1,2,9,6,8,10,7,3,4,5]=>[5,4,3,7,10,8,6,9,2,1]
[1,2,9,7,5,6,8,3,10,4]=>[4,10,3,8,6,5,7,9,2,1]
[10,1,2,3,6,7,8,4,9,5]=>[5,9,4,8,7,6,3,2,1,10]
[1,10,2,3,6,7,9,8,4,5]=>[5,4,8,9,7,6,3,2,10,1]
[1,2,10,3,6,8,7,9,4,5]=>[5,4,9,7,8,6,3,10,2,1]
[1,2,3,10,7,6,8,9,4,5]=>[5,4,9,8,6,7,10,3,2,1]
[1,4,6,8,9,10,3,5,7,2]=>[2,7,5,3,10,9,8,6,4,1]
[1,9,7,3,4,5,10,8,6,2]=>[2,6,8,10,5,4,3,7,9,1]
[1,7,5,9,10,3,8,6,4,2]=>[2,4,6,8,3,10,9,5,7,1]
[1,6,4,9,10,7,5,8,3,2]=>[2,3,8,5,7,10,9,4,6,1]
[1,9,7,6,5,3,10,8,4,2]=>[2,4,8,10,3,5,6,7,9,1]
[1,8,6,5,4,9,7,10,3,2]=>[2,3,10,7,9,4,5,6,8,1]
[1,9,3,5,6,7,8,10,2,4]=>[4,2,10,8,7,6,5,3,9,1]
[1,6,3,8,9,10,5,7,2,4]=>[4,2,7,5,10,9,8,3,6,1]
[1,9,3,5,6,7,10,8,2,4]=>[4,2,8,10,7,6,5,3,9,1]
[1,7,3,9,10,5,8,6,2,4]=>[4,2,6,8,5,10,9,3,7,1]
[1,6,3,9,10,7,8,5,2,4]=>[4,2,5,8,7,10,9,3,6,1]
[1,9,5,4,3,7,10,8,2,6]=>[6,2,8,10,7,3,4,5,9,1]
[1,8,5,4,3,9,10,7,2,6]=>[6,2,7,10,9,3,4,5,8,1]
[1,3,5,7,8,9,4,2,6,10]=>[10,6,2,4,9,8,7,5,3,1]
[1,3,7,9,10,4,6,2,8,5]=>[5,8,2,6,4,10,9,7,3,1]
[1,3,6,8,9,4,2,7,5,10]=>[10,5,7,2,4,9,8,6,3,1]
[1,3,5,8,7,9,4,2,6,10]=>[10,6,2,4,9,7,8,5,3,1]
[1,3,7,10,9,4,6,2,8,5]=>[5,8,2,6,4,9,10,7,3,1]
[1,3,8,7,6,4,2,9,5,10]=>[10,5,9,2,4,6,7,8,3,1]
[1,8,3,5,6,9,7,10,2,4]=>[4,2,10,7,9,6,5,3,8,1]
[1,7,3,10,5,8,6,9,2,4]=>[4,2,9,6,8,5,10,3,7,1]
[1,6,3,10,7,8,9,5,2,4]=>[4,2,5,9,8,7,10,3,6,1]
[1,8,4,3,6,9,7,10,2,5]=>[5,2,10,7,9,6,3,4,8,1]
[1,7,4,3,8,9,10,6,2,5]=>[5,2,6,10,9,8,3,4,7,1]
[1,3,9,6,7,4,8,2,10,5]=>[5,10,2,8,4,7,6,9,3,1]
[1,3,8,10,6,4,7,2,9,5]=>[5,9,2,7,4,6,10,8,3,1]
[1,3,8,10,4,5,7,2,9,6]=>[6,9,2,7,5,4,10,8,3,1]
[1,3,7,9,4,5,2,8,6,10]=>[10,6,8,2,5,4,9,7,3,1]
[1,3,8,7,4,5,2,9,6,10]=>[10,6,9,2,5,4,7,8,3,1]
[1,3,5,4,10,7,9,2,6,8]=>[8,6,2,9,7,10,4,5,3,1]
[1,4,7,3,9,5,10,6,2,8]=>[8,2,6,10,5,9,3,7,4,1]
[1,4,8,3,5,6,7,10,2,9]=>[9,2,10,7,6,5,3,8,4,1]
[1,6,3,5,9,7,10,2,4,8]=>[8,4,2,10,7,9,5,3,6,1]
[1,6,3,5,7,8,10,2,4,9]=>[9,4,2,10,8,7,5,3,6,1]
[1,8,3,9,10,5,7,2,4,6]=>[6,4,2,7,5,10,9,3,8,1]
[6,10,9,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,9,10,6]
[10,9,7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7,9,10]
[10,9,8,7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7,8,9,10]
[1,4,10,9,8,7,6,2,5,3]=>[3,5,2,6,7,8,9,10,4,1]
[4,1,2,6,7,8,9,10,3,5]=>[5,3,10,9,8,7,6,2,1,4]
[4,5,1,2,7,8,9,10,3,6]=>[6,3,10,9,8,7,2,1,5,4]
[4,5,6,1,2,8,9,10,3,7]=>[7,3,10,9,8,2,1,6,5,4]
[4,5,6,7,1,2,9,10,3,8]=>[8,3,10,9,2,1,7,6,5,4]
[9,8,7,6,4,10,3,2,1,5]=>[5,1,2,3,10,4,6,7,8,9]
[7,10,2,3,4,5,1,6,8,9]=>[9,8,6,1,5,4,3,2,10,7]
[6,10,2,3,4,1,5,7,8,9]=>[9,8,7,5,1,4,3,2,10,6]
[5,10,2,3,1,4,6,7,8,9]=>[9,8,7,6,4,1,3,2,10,5]
[4,10,2,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,2,10,4]
[1,10,9,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,9,10,1]
[10,9,8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8,9,10]
[9,8,7,6,5,4,10,2,3,1]=>[1,3,2,10,4,5,6,7,8,9]
[6,5,4,3,7,10,2,9,1,8]=>[8,1,9,2,10,7,3,4,5,6]
[9,8,10,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,10,8,9]
[4,10,3,1,9,2,8,7,6,5]=>[5,6,7,8,2,9,1,3,10,4]
[1,4,2,10,3,9,8,7,6,5]=>[5,6,7,8,9,3,10,2,4,1]
[5,10,2,1,4,9,3,8,7,6]=>[6,7,8,3,9,4,1,2,10,5]
[5,1,10,4,2,9,3,8,7,6]=>[6,7,8,3,9,2,4,10,1,5]
[3,5,1,10,2,4,9,8,7,6]=>[6,7,8,9,4,2,10,1,5,3]
[10,6,2,5,1,9,4,8,3,7]=>[7,3,8,4,9,1,5,2,6,10]
[6,10,5,1,9,4,2,8,3,7]=>[7,3,8,2,4,9,1,5,10,6]
[6,3,10,1,5,2,9,4,8,7]=>[7,8,4,9,2,5,1,10,3,6]
[1,6,2,10,5,3,9,4,8,7]=>[7,8,4,9,3,5,10,2,6,1]
[1,2,3,6,4,10,5,9,8,7]=>[7,8,9,5,10,4,6,3,2,1]
[4,7,10,3,6,1,9,2,5,8]=>[8,5,2,9,1,6,3,10,7,4]
[2,7,10,1,4,3,6,9,5,8]=>[8,5,9,6,3,4,1,10,7,2]
[7,4,1,10,2,6,3,9,5,8]=>[8,5,9,3,6,2,10,1,4,7]
[1,2,7,3,10,6,4,9,5,8]=>[8,5,9,4,6,10,3,7,2,1]
[1,5,2,7,3,10,4,6,9,8]=>[8,9,6,4,10,3,7,2,5,1]
[1,2,3,4,7,5,10,6,9,8]=>[8,9,6,10,5,7,4,3,2,1]
[4,6,1,8,2,10,3,5,7,9]=>[9,7,5,3,10,2,8,1,6,4]
[9,3,2,8,7,6,5,4,1,10]=>[10,1,4,5,6,7,8,2,3,9]
[9,2,8,7,6,5,4,3,1,10]=>[10,1,3,4,5,6,7,8,2,9]
[10,8,3,7,6,5,4,2,9,1]=>[1,9,2,4,5,6,7,3,8,10]
[8,7,5,6,9,10,2,1,4,3]=>[3,4,1,2,10,9,6,5,7,8]
[6,5,10,8,7,9,2,1,4,3]=>[3,4,1,2,9,7,8,10,5,6]
[10,7,5,8,6,9,2,1,4,3]=>[3,4,1,2,9,6,8,5,7,10]
[10,9,7,5,6,8,2,1,4,3]=>[3,4,1,2,8,6,5,7,9,10]
[8,7,10,9,2,3,1,4,6,5]=>[5,6,4,1,3,2,9,10,7,8]
[10,9,7,8,2,3,1,4,6,5]=>[5,6,4,1,3,2,8,7,9,10]
[6,3,7,9,8,2,10,1,5,4]=>[4,5,1,10,2,8,9,7,3,6]
[8,6,3,9,7,2,10,1,5,4]=>[4,5,1,10,2,7,9,3,6,8]
[10,8,3,6,7,2,9,1,5,4]=>[4,5,1,9,2,7,6,3,8,10]
[4,3,5,7,8,9,10,1,6,2]=>[2,6,1,10,9,8,7,5,3,4]
[5,4,3,7,9,8,10,1,6,2]=>[2,6,1,10,8,9,7,3,4,5]
[7,5,3,4,10,8,9,1,6,2]=>[2,6,1,9,8,10,4,3,5,7]
[9,6,3,4,5,8,10,1,7,2]=>[2,7,1,10,8,5,4,3,6,9]
[6,5,8,7,9,10,4,3,1,2]=>[2,1,3,4,10,9,7,8,5,6]
[8,7,5,6,9,10,4,3,1,2]=>[2,1,3,4,10,9,6,5,7,8]
[6,5,10,8,7,9,4,3,1,2]=>[2,1,3,4,9,7,8,10,5,6]
[10,7,5,8,6,9,4,3,1,2]=>[2,1,3,4,9,6,8,5,7,10]
[10,9,7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7,9,10]
[8,7,10,9,4,2,1,6,3,5]=>[5,3,6,1,2,4,9,10,7,8]
[10,9,7,8,4,2,1,6,3,5]=>[5,3,6,1,2,4,8,7,9,10]
[7,6,2,9,8,3,10,5,1,4]=>[4,1,5,10,3,8,9,2,6,7]
[1,8,6,9,7,3,10,5,2,4]=>[4,2,5,10,3,7,9,6,8,1]
[1,10,8,6,7,3,9,5,2,4]=>[4,2,5,9,3,7,6,8,10,1]
[5,4,2,7,8,9,10,6,1,3]=>[3,1,6,10,9,8,7,2,4,5]
[1,5,4,7,9,8,10,6,2,3]=>[3,2,6,10,8,9,7,4,5,1]
[1,7,5,4,10,8,9,6,2,3]=>[3,2,6,9,8,10,4,5,7,1]
[1,9,6,4,5,8,10,7,2,3]=>[3,2,7,10,8,5,4,6,9,1]
[8,7,10,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,10,7,8]
[8,6,2,10,9,5,4,1,3,7]=>[7,3,1,4,5,9,10,2,6,8]
[1,9,6,10,8,5,4,2,3,7]=>[7,3,2,4,5,8,10,6,9,1]
[1,9,8,6,7,5,4,10,2,3]=>[3,2,10,4,5,7,6,8,9,1]
[8,5,2,3,9,10,6,1,4,7]=>[7,4,1,6,10,9,3,2,5,8]
[1,8,5,3,10,9,6,2,4,7]=>[7,4,2,6,9,10,3,5,8,1]
[1,2,7,5,9,8,6,10,3,4]=>[4,3,10,6,8,9,5,7,2,1]
[1,2,9,6,5,8,4,10,3,7]=>[7,3,10,4,8,5,6,9,2,1]
[9,8,2,3,4,5,10,1,6,7]=>[7,6,1,10,5,4,3,2,8,9]
[1,10,8,3,4,5,9,2,6,7]=>[7,6,2,9,5,4,3,8,10,1]
[1,2,9,7,4,5,8,10,3,6]=>[6,3,10,8,5,4,7,9,2,1]
[1,2,3,8,6,5,9,10,4,7]=>[7,4,10,9,5,6,8,3,2,1]
[7,8,5,4,3,2,9,10,1,6]=>[6,1,10,9,2,3,4,5,8,7]
[9,7,10,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,10,7,9]
[10,9,4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4,9,10]
[10,9,4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4,9,10]
[10,9,8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8,9,10]
[10,9,8,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,8,9,10]
[10,9,8,5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5,8,9,10]
[10,9,8,5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5,8,9,10]
[10,9,8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8,9,10]
[10,9,8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8,9,10]
[10,9,8,7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7,8,9,10]
[10,9,8,7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7,8,9,10]
[10,9,8,7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7,8,9,10]
[10,9,8,7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7,8,9,10]
[10,9,8,7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7,8,9,10]
[5,6,7,10,9,8,1,4,3,2]=>[2,3,4,1,8,9,10,7,6,5]
[5,6,7,10,9,8,2,1,4,3]=>[3,4,1,2,8,9,10,7,6,5]
[5,6,7,10,9,8,1,2,3,4]=>[4,3,2,1,8,9,10,7,6,5]
[7,6,10,9,8,1,3,2,5,4]=>[4,5,2,3,1,8,9,10,6,7]
[7,6,10,9,8,1,2,3,5,4]=>[4,5,3,2,1,8,9,10,6,7]
[7,6,10,9,8,1,2,3,4,5]=>[5,4,3,2,1,8,9,10,6,7]
[6,7,10,9,8,1,2,3,4,5]=>[5,4,3,2,1,8,9,10,7,6]
[8,7,10,9,1,2,4,3,5,6]=>[6,5,3,4,2,1,9,10,7,8]
[8,7,10,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,10,7,8]
[6,8,7,10,9,1,2,3,4,5]=>[5,4,3,2,1,9,10,7,8,6]
[6,7,8,10,9,1,2,3,4,5]=>[5,4,3,2,1,9,10,8,7,6]
[1,3,2,4,10,5,9,6,8,7]=>[7,8,6,9,5,10,4,2,3,1]
[1,2,4,3,5,10,6,9,7,8]=>[8,7,9,6,10,5,3,4,2,1]
[1,2,5,3,4,6,10,7,9,8]=>[8,9,7,10,6,4,3,5,2,1]
[1,2,3,5,4,6,10,7,9,8]=>[8,9,7,10,6,4,5,3,2,1]
[1,2,4,3,5,7,6,8,10,9]=>[9,10,8,6,7,5,3,4,2,1]
[10,7,6,5,4,3,2,9,1,8]=>[8,1,9,2,3,4,5,6,7,10]
[10,6,5,4,3,9,2,8,1,7]=>[7,1,8,2,9,3,4,5,6,10]
[10,6,5,4,3,2,8,1,7,9]=>[9,7,1,8,2,3,4,5,6,10]
[10,5,4,3,8,2,7,1,6,9]=>[9,6,1,7,2,8,3,4,5,10]
[10,5,4,3,2,7,9,1,6,8]=>[8,6,1,9,7,2,3,4,5,10]
[10,5,4,3,2,7,1,6,8,9]=>[9,8,6,1,7,2,3,4,5,10]
[10,4,8,3,7,2,6,1,5,9]=>[9,5,1,6,2,7,3,8,4,10]
[10,4,3,7,2,6,9,1,5,8]=>[8,5,1,9,6,2,7,3,4,10]
[10,4,3,7,2,6,1,5,8,9]=>[9,8,5,1,6,2,7,3,4,10]
[10,4,3,2,6,8,1,5,7,9]=>[9,7,5,1,8,6,2,3,4,10]
[10,4,3,2,6,1,5,7,8,9]=>[9,8,7,5,1,6,2,3,4,10]
[7,10,3,6,2,5,1,4,8,9]=>[9,8,4,1,5,2,6,3,10,7]
[10,3,6,2,5,1,4,7,8,9]=>[9,8,7,4,1,5,2,6,3,10]
[10,3,2,5,7,1,4,6,8,9]=>[9,8,6,4,1,7,5,2,3,10]
[10,3,2,5,1,4,6,7,8,9]=>[9,8,7,6,4,1,5,2,3,10]
[5,10,2,4,7,9,1,3,6,8]=>[8,6,3,1,9,7,4,2,10,5]
[5,10,2,4,7,1,3,6,8,9]=>[9,8,6,3,1,7,4,2,10,5]
[5,10,2,4,1,3,6,7,8,9]=>[9,8,7,6,3,1,4,2,10,5]
[3,5,10,1,2,4,6,7,8,9]=>[9,8,7,6,4,2,1,10,5,3]
[5,6,4,7,2,8,1,10,9,3]=>[3,9,10,1,8,2,7,4,6,5]
[5,6,3,7,2,8,1,10,9,4]=>[4,9,10,1,8,2,7,3,6,5]
[6,4,7,3,8,2,10,9,1,5]=>[5,1,9,10,2,8,3,7,4,6]
[5,4,7,3,8,2,10,9,1,6]=>[6,1,9,10,2,8,3,7,4,5]
[5,4,6,3,8,2,10,9,1,7]=>[7,1,9,10,2,8,3,6,4,5]
[1,3,2,5,4,6,9,7,10,8]=>[8,10,7,9,6,4,5,2,3,1]
[1,3,2,4,7,5,6,10,8,9]=>[9,8,10,6,5,7,4,2,3,1]
[1,3,2,4,7,5,6,9,10,8]=>[8,10,9,6,5,7,4,2,3,1]
[1,3,2,4,6,5,9,7,10,8]=>[8,10,7,9,5,6,4,2,3,1]
[1,3,2,4,5,9,6,7,10,8]=>[8,10,7,6,9,5,4,2,3,1]
[1,3,2,4,5,8,6,9,10,7]=>[7,10,9,6,8,5,4,2,3,1]
[1,2,5,3,4,7,6,10,8,9]=>[9,8,10,6,7,4,3,5,2,1]
[1,2,5,3,4,7,6,9,10,8]=>[8,10,9,6,7,4,3,5,2,1]
[1,2,5,3,4,6,10,7,8,9]=>[9,8,7,10,6,4,3,5,2,1]
[1,2,5,3,4,6,9,7,10,8]=>[8,10,7,9,6,4,3,5,2,1]
[1,2,5,3,4,6,8,9,10,7]=>[7,10,9,8,6,4,3,5,2,1]
[1,2,4,3,7,5,6,9,10,8]=>[8,10,9,6,5,7,3,4,2,1]
[1,2,4,3,6,5,9,7,10,8]=>[8,10,7,9,5,6,3,4,2,1]
[1,2,4,3,5,9,6,7,10,8]=>[8,10,7,6,9,5,3,4,2,1]
[1,2,4,3,5,8,6,9,10,7]=>[7,10,9,6,8,5,3,4,2,1]
[1,2,3,7,4,5,6,10,8,9]=>[9,8,10,6,5,4,7,3,2,1]
[1,2,3,7,4,5,6,9,10,8]=>[8,10,9,6,5,4,7,3,2,1]
[1,2,3,6,4,5,9,7,10,8]=>[8,10,7,9,5,4,6,3,2,1]
[1,2,3,6,4,5,8,9,10,7]=>[7,10,9,8,5,4,6,3,2,1]
[1,2,3,5,4,9,6,7,10,8]=>[8,10,7,6,9,4,5,3,2,1]
[1,2,3,5,4,8,6,9,10,7]=>[7,10,9,6,8,4,5,3,2,1]
[1,2,3,4,8,5,6,9,10,7]=>[7,10,9,6,5,8,4,3,2,1]
[1,2,3,4,7,5,8,9,10,6]=>[6,10,9,8,5,7,4,3,2,1]
[4,5,6,1,2,7,8,9,10,3]=>[3,10,9,8,7,2,1,6,5,4]
[4,5,6,7,1,2,8,9,10,3]=>[3,10,9,8,2,1,7,6,5,4]
[1,9,10,3,7,2,8,4,6,5]=>[5,6,4,8,2,7,3,10,9,1]
[1,9,10,4,6,3,7,2,8,5]=>[5,8,2,7,3,6,4,10,9,1]
[1,9,10,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,10,9,1]
[1,9,10,6,3,7,2,8,4,5]=>[5,4,8,2,7,3,6,10,9,1]
[1,9,10,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,10,9,1]
[1,9,10,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,10,9,1]
[7,6,5,10,4,3,9,2,1,8]=>[8,1,2,9,3,4,10,5,6,7]
[7,6,5,4,3,9,2,1,8,10]=>[10,8,1,2,9,3,4,5,6,7]
[10,6,5,9,4,3,8,2,1,7]=>[7,1,2,8,3,4,9,5,6,10]
[6,5,9,4,3,8,2,1,7,10]=>[10,7,1,2,8,3,4,9,5,6]
[6,5,4,10,3,8,2,1,7,9]=>[9,7,1,2,8,3,10,4,5,6]
[6,5,4,3,8,2,1,7,9,10]=>[10,9,7,1,2,8,3,4,5,6]
[5,9,8,4,3,7,2,1,6,10]=>[10,6,1,2,7,3,4,8,9,5]
[5,8,4,10,3,7,2,1,6,9]=>[9,6,1,2,7,3,10,4,8,5]
[5,8,4,3,7,2,1,6,9,10]=>[10,9,6,1,2,7,3,4,8,5]
[5,4,9,3,7,2,1,6,8,10]=>[10,8,6,1,2,7,3,9,4,5]
[5,4,3,7,2,1,6,8,9,10]=>[10,9,8,6,1,2,7,3,4,5]
[8,4,3,7,10,6,2,1,5,9]=>[9,5,1,2,6,10,7,3,4,8]
[8,4,3,7,6,2,1,5,9,10]=>[10,9,5,1,2,6,7,3,4,8]
[7,4,10,9,3,6,2,1,5,8]=>[8,5,1,2,6,3,9,10,4,7]
[7,4,9,3,6,2,1,5,8,10]=>[10,8,5,1,2,6,3,9,4,7]
[7,4,3,6,2,1,5,8,9,10]=>[10,9,8,5,1,2,6,3,4,7]
[10,4,8,3,6,2,1,5,7,9]=>[9,7,5,1,2,6,3,8,4,10]
[4,8,3,6,2,1,5,7,9,10]=>[10,9,7,5,1,2,6,3,8,4]
[4,3,6,2,1,5,7,8,9,10]=>[10,9,8,7,5,1,2,6,3,4]
[3,6,9,8,5,2,1,4,7,10]=>[10,7,4,1,2,5,8,9,6,3]
[10,3,6,8,5,2,1,4,7,9]=>[9,7,4,1,2,5,8,6,3,10]
[3,6,8,5,2,1,4,7,9,10]=>[10,9,7,4,1,2,5,8,6,3]
[3,6,5,2,1,4,7,8,9,10]=>[10,9,8,7,4,1,2,5,6,3]
[9,7,3,5,2,1,4,6,8,10]=>[10,8,6,4,1,2,5,3,7,9]
[7,3,5,2,1,4,6,8,9,10]=>[10,9,8,6,4,1,2,5,3,7]
[3,5,2,1,4,6,7,8,9,10]=>[10,9,8,7,6,4,1,2,5,3]
[10,4,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,4,10]
[7,4,5,6,8,9,10,3,1,2]=>[2,1,3,10,9,8,6,5,4,7]
[6,5,7,8,9,10,4,1,2,3]=>[3,2,1,4,10,9,8,7,5,6]
[3,7,8,9,5,10,1,2,4,6]=>[6,4,2,1,10,5,9,8,7,3]
[1,9,10,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,10,9,1]
[6,5,9,4,10,3,7,2,8,1]=>[1,8,2,7,3,10,4,9,5,6]
[8,4,9,5,3,10,6,2,7,1]=>[1,7,2,6,10,3,5,9,4,8]
[8,5,10,4,6,3,9,2,7,1]=>[1,7,2,9,3,6,4,10,5,8]
[4,3,8,7,9,5,2,10,6,1]=>[1,6,10,2,5,9,7,8,3,4]
[4,7,8,5,3,10,2,9,6,1]=>[1,6,9,2,10,3,5,8,7,4]
[9,4,10,3,7,5,2,8,6,1]=>[1,6,8,2,5,7,3,10,4,9]
[7,5,4,10,3,9,2,8,6,1]=>[1,6,8,2,9,3,10,4,5,7]
[9,6,10,7,3,8,4,2,5,1]=>[1,5,2,4,8,3,7,10,6,9]
[4,7,10,6,9,3,8,2,5,1]=>[1,5,2,8,3,9,6,10,7,4]
[8,6,4,3,10,2,9,7,5,1]=>[1,5,7,9,2,10,3,4,6,8]
[9,7,3,2,6,10,8,4,1,5]=>[5,1,4,8,10,6,2,3,7,9]
[10,7,9,3,6,8,2,4,1,5]=>[5,1,4,2,8,6,3,9,7,10]
[10,3,6,9,2,5,8,7,4,1]=>[1,4,7,8,5,2,9,6,3,10]
[10,3,9,5,8,7,2,6,4,1]=>[1,4,6,2,7,8,5,9,3,10]
[2,7,5,3,1,9,10,8,6,4]=>[4,6,8,10,9,1,3,5,7,2]
[10,5,7,9,8,2,6,3,1,4]=>[4,1,3,6,2,8,9,7,5,10]
[10,2,9,8,3,1,7,5,6,4]=>[4,6,5,7,1,3,8,9,2,10]
[10,2,9,8,6,7,4,5,3,1]=>[1,3,5,4,7,6,8,9,2,10]
[10,2,9,8,4,7,6,5,3,1]=>[1,3,5,6,7,4,8,9,2,10]
[10,9,2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2,9,10]
[1,8,3,10,2,7,4,9,5,6]=>[6,5,9,4,7,2,10,3,8,1]
[1,7,4,10,2,6,8,3,5,9]=>[9,5,3,8,6,2,10,4,7,1]
[1,7,4,10,2,9,3,6,5,8]=>[8,5,6,3,9,2,10,4,7,1]
[1,6,9,2,5,10,3,4,7,8]=>[8,7,4,3,10,5,2,9,6,1]
[1,6,8,3,5,10,2,9,4,7]=>[7,4,9,2,10,5,3,8,6,1]
[1,6,9,2,5,10,3,8,4,7]=>[7,4,8,3,10,5,2,9,6,1]
[1,6,7,4,5,10,2,8,3,9]=>[9,3,8,2,10,5,4,7,6,1]
[1,5,2,9,6,10,3,4,7,8]=>[8,7,4,3,10,6,9,2,5,1]
[1,5,3,8,6,10,2,4,7,9]=>[9,7,4,2,10,6,8,3,5,1]
[1,5,3,9,2,8,6,10,4,7]=>[7,4,10,6,8,2,9,3,5,1]
[1,5,6,10,2,7,8,3,4,9]=>[9,4,3,8,7,2,10,6,5,1]
[1,4,7,10,5,2,3,8,9,6]=>[6,9,8,3,2,5,10,7,4,1]
[1,4,3,9,6,2,8,7,10,5]=>[5,10,7,8,2,6,9,3,4,1]
[1,4,7,10,2,3,5,6,8,9]=>[9,8,6,5,3,2,10,7,4,1]
[1,4,9,5,3,8,6,2,7,10]=>[10,7,2,6,8,3,5,9,4,1]
[1,4,5,8,9,2,3,6,7,10]=>[10,7,6,3,2,9,8,5,4,1]
[1,4,8,5,9,2,6,3,7,10]=>[10,7,3,6,2,9,5,8,4,1]
[1,3,6,7,2,4,5,8,10,9]=>[9,10,8,5,4,2,7,6,3,1]
[1,3,8,10,4,2,6,5,9,7]=>[7,9,5,6,2,4,10,8,3,1]
[1,3,7,2,6,4,8,10,5,9]=>[9,5,10,8,4,6,2,7,3,1]
[1,3,7,4,8,10,2,5,6,9]=>[9,6,5,2,10,8,4,7,3,1]
[1,3,6,9,4,7,2,5,8,10]=>[10,8,5,2,7,4,9,6,3,1]
[1,2,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,2,1]
[1,2,4,7,9,10,5,8,3,6]=>[6,3,8,5,10,9,7,4,2,1]
[2,1,7,10,4,9,6,3,5,8]=>[8,5,3,6,9,4,10,7,1,2]
[5,8,2,7,4,1,3,6,10,9]=>[9,10,6,3,1,4,7,2,8,5]
[5,10,2,7,4,9,6,1,3,8]=>[8,3,1,6,9,4,7,2,10,5]
[5,10,2,9,4,1,3,6,7,8]=>[8,7,6,3,1,4,9,2,10,5]
[7,10,2,9,4,5,6,1,3,8]=>[8,3,1,6,5,4,9,2,10,7]
[10,8,2,1,9,5,3,4,7,6]=>[6,7,4,3,5,9,1,2,8,10]
[7,10,2,3,4,9,6,1,5,8]=>[8,5,1,6,9,4,3,2,10,7]
[6,10,9,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,9,10,6]
[6,1,10,3,8,5,2,4,7,9]=>[9,7,4,2,5,8,3,10,1,6]
[3,6,1,2,7,4,5,9,8,10]=>[10,8,9,5,4,7,2,1,6,3]
[3,4,1,2,6,8,5,9,7,10]=>[10,7,9,5,8,6,2,1,4,3]
[3,8,1,2,6,4,5,9,7,10]=>[10,7,9,5,4,6,2,1,8,3]
[3,8,1,2,9,4,6,5,7,10]=>[10,7,5,6,4,9,2,1,8,3]
[6,8,1,3,5,2,4,9,7,10]=>[10,7,9,4,2,5,3,1,8,6]
[5,9,1,3,8,2,6,4,7,10]=>[10,7,4,6,2,8,3,1,9,5]
[3,4,1,2,6,7,5,10,8,9]=>[9,8,10,5,7,6,2,1,4,3]
[3,4,1,2,6,10,5,8,7,9]=>[9,7,8,5,10,6,2,1,4,3]
[3,10,1,2,6,4,5,8,7,9]=>[9,7,8,5,4,6,2,1,10,3]
[3,7,1,2,10,4,6,8,5,9]=>[9,5,8,6,4,10,2,1,7,3]
[6,10,1,3,5,2,4,8,7,9]=>[9,7,8,4,2,5,3,1,10,6]
[5,10,1,3,7,2,6,8,4,9]=>[9,4,8,6,2,7,3,1,10,5]
[3,4,1,2,6,9,5,10,8,7]=>[7,8,10,5,9,6,2,1,4,3]
[3,9,1,2,6,4,5,10,8,7]=>[7,8,10,5,4,6,2,1,9,3]
[3,9,1,2,7,4,6,10,8,5]=>[5,8,10,6,4,7,2,1,9,3]
[3,8,1,2,9,4,6,10,7,5]=>[5,7,10,6,4,9,2,1,8,3]
[6,9,1,3,5,2,4,10,8,7]=>[7,8,10,4,2,5,3,1,9,6]
[7,9,1,3,5,2,6,10,8,4]=>[4,8,10,6,2,5,3,1,9,7]
[5,9,1,3,8,2,6,10,7,4]=>[4,7,10,6,2,8,3,1,9,5]
[3,4,1,2,7,10,6,8,5,9]=>[9,5,8,6,10,7,2,1,4,3]
[3,7,1,2,5,10,6,8,4,9]=>[9,4,8,6,10,5,2,1,7,3]
[3,6,1,2,7,10,5,8,4,9]=>[9,4,8,5,10,7,2,1,6,3]
[4,7,1,3,5,10,6,8,2,9]=>[9,2,8,6,10,5,3,1,7,4]
[4,6,1,3,7,10,5,8,2,9]=>[9,2,8,5,10,7,3,1,6,4]
[3,7,1,2,5,9,6,10,8,4]=>[4,8,10,6,9,5,2,1,7,3]
[3,7,1,2,6,9,5,10,8,4]=>[4,8,10,5,9,6,2,1,7,3]
[3,6,1,2,8,9,5,10,7,4]=>[4,7,10,5,9,8,2,1,6,3]
[4,7,1,3,5,9,6,10,8,2]=>[2,8,10,6,9,5,3,1,7,4]
[4,7,1,3,6,9,5,10,8,2]=>[2,8,10,5,9,6,3,1,7,4]
[4,6,1,3,8,9,5,10,7,2]=>[2,7,10,5,9,8,3,1,6,4]
[7,9,1,3,6,2,5,10,8,4]=>[4,8,10,5,2,6,3,1,9,7]
[6,9,1,3,8,2,5,10,7,4]=>[4,7,10,5,2,8,3,1,9,6]
[3,4,7,2,5,10,6,8,1,9]=>[9,1,8,6,10,5,2,7,4,3]
[3,4,6,2,7,10,5,8,1,9]=>[9,1,8,5,10,7,2,6,4,3]
[3,4,7,2,5,9,6,10,8,1]=>[1,8,10,6,9,5,2,7,4,3]
[3,4,7,2,6,9,5,10,8,1]=>[1,8,10,5,9,6,2,7,4,3]
[3,4,6,2,8,9,5,10,7,1]=>[1,7,10,5,9,8,2,6,4,3]
[3,7,9,2,6,1,5,10,8,4]=>[4,8,10,5,1,6,2,9,7,3]
[3,5,7,2,9,4,10,6,1,8]=>[8,1,6,10,4,9,2,7,5,3]
[3,5,7,8,9,2,10,4,1,6]=>[6,1,4,10,2,9,8,7,5,3]
[3,5,6,7,8,9,10,2,1,4]=>[4,1,2,10,9,8,7,6,5,3]
[8,9,7,3,4,5,6,10,1,2]=>[2,1,10,6,5,4,3,7,9,8]
[8,7,2,3,4,5,6,9,1,10]=>[10,1,9,6,5,4,3,2,7,8]
[7,8,9,6,4,5,10,1,2,3]=>[3,2,1,10,5,4,6,9,8,7]
[7,8,6,3,4,5,9,1,2,10]=>[10,2,1,9,5,4,3,6,8,7]
[7,6,2,3,4,5,9,8,10,1]=>[1,10,8,9,5,4,3,2,6,7]
[7,6,2,3,4,5,8,1,9,10]=>[10,9,1,8,5,4,3,2,6,7]
[6,7,8,5,4,9,1,2,3,10]=>[10,3,2,1,9,4,5,8,7,6]
[6,7,5,3,4,9,8,2,10,1]=>[1,10,2,8,9,4,3,5,7,6]
[6,7,5,3,4,8,1,2,9,10]=>[10,9,2,1,8,4,3,5,7,6]
[6,5,2,3,4,8,7,9,1,10]=>[10,1,9,7,8,4,3,2,5,6]
[6,5,2,3,4,7,1,8,9,10]=>[10,9,8,1,7,4,3,2,5,6]
[5,6,7,4,9,8,2,3,10,1]=>[1,10,3,2,8,9,4,7,6,5]
[5,6,7,4,8,1,2,3,9,10]=>[10,9,3,2,1,8,4,7,6,5]
[5,6,4,3,8,9,7,10,1,2]=>[2,1,10,7,9,8,3,4,6,5]
[5,6,4,3,8,7,2,9,1,10]=>[10,1,9,2,7,8,3,4,6,5]
[5,6,4,3,7,1,2,8,9,10]=>[10,9,8,2,1,7,3,4,6,5]
[5,4,2,3,7,6,9,8,10,1]=>[1,10,8,9,6,7,3,2,4,5]
[5,4,2,3,7,6,8,1,9,10]=>[10,9,1,8,6,7,3,2,4,5]
[5,4,2,3,6,1,7,8,9,10]=>[10,9,8,7,1,6,3,2,4,5]
[4,5,3,7,8,6,9,1,2,10]=>[10,2,1,9,6,8,7,3,5,4]
[4,5,3,7,6,2,9,8,10,1]=>[1,10,8,9,2,6,7,3,5,4]
[4,5,3,7,6,2,8,1,9,10]=>[10,9,1,8,2,6,7,3,5,4]
[4,5,3,6,1,2,7,8,9,10]=>[10,9,8,7,2,1,6,3,5,4]
[4,3,2,6,5,8,7,9,1,10]=>[10,1,9,7,8,5,6,2,3,4]
[4,3,2,6,5,7,1,8,9,10]=>[10,9,8,1,7,5,6,2,3,4]
[3,2,5,4,7,6,8,1,9,10]=>[10,9,1,8,6,7,4,5,2,3]
[3,2,5,4,6,1,7,8,9,10]=>[10,9,8,7,1,6,4,5,2,3]
[8,10,9,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,9,10,8]
[10,1,9,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,9,1,10]
[10,1,8,3,7,6,5,4,9,2]=>[2,9,4,5,6,7,3,8,1,10]
[10,1,9,3,7,6,5,8,4,2]=>[2,4,8,5,6,7,3,9,1,10]
[10,1,9,3,8,6,7,5,4,2]=>[2,4,5,7,6,8,3,9,1,10]
[10,1,8,6,4,5,7,3,9,2]=>[2,9,3,7,5,4,6,8,1,10]
[10,1,9,6,4,5,7,8,3,2]=>[2,3,8,7,5,4,6,9,1,10]
[10,1,8,7,4,6,5,3,9,2]=>[2,9,3,5,6,4,7,8,1,10]
[10,1,9,7,4,6,5,8,3,2]=>[2,3,8,5,6,4,7,9,1,10]
[10,1,9,8,4,6,7,5,3,2]=>[2,3,5,7,6,4,8,9,1,10]
[10,1,8,7,6,5,4,3,9,2]=>[2,9,3,4,5,6,7,8,1,10]
[10,1,9,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,9,1,10]
[10,1,9,8,6,5,7,4,3,2]=>[2,3,4,7,5,6,8,9,1,10]
[10,8,2,3,6,5,7,4,9,1]=>[1,9,4,7,5,6,3,2,8,10]
[10,9,2,3,6,5,7,8,4,1]=>[1,4,8,7,5,6,3,2,9,10]
[10,8,2,3,7,6,5,4,9,1]=>[1,9,4,5,6,7,3,2,8,10]
[10,9,2,3,7,6,5,8,4,1]=>[1,4,8,5,6,7,3,2,9,10]
[10,9,2,3,8,6,7,5,4,1]=>[1,4,5,7,6,8,3,2,9,10]
[10,8,2,6,4,5,7,3,9,1]=>[1,9,3,7,5,4,6,2,8,10]
[10,9,2,6,4,5,7,8,3,1]=>[1,3,8,7,5,4,6,2,9,10]
[10,8,2,7,4,6,5,3,9,1]=>[1,9,3,5,6,4,7,2,8,10]
[10,9,2,7,4,6,5,8,3,1]=>[1,3,8,5,6,4,7,2,9,10]
[10,8,2,7,6,5,4,3,9,1]=>[1,9,3,4,5,6,7,2,8,10]
[10,9,2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2,9,10]
[10,9,2,8,6,5,7,4,3,1]=>[1,3,4,7,5,6,8,2,9,10]
[10,8,6,3,4,5,7,2,9,1]=>[1,9,2,7,5,4,3,6,8,10]
[10,9,6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6,9,10]
[10,8,7,3,4,6,5,2,9,1]=>[1,9,2,5,6,4,3,7,8,10]
[10,9,7,3,4,6,5,8,2,1]=>[1,2,8,5,6,4,3,7,9,10]
[10,9,8,3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3,8,9,10]
[10,8,7,3,6,5,4,2,9,1]=>[1,9,2,4,5,6,3,7,8,10]
[10,9,7,3,6,5,4,8,2,1]=>[1,2,8,4,5,6,3,7,9,10]
[10,9,8,3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3,8,9,10]
[10,8,7,6,4,5,3,2,9,1]=>[1,9,2,3,5,4,6,7,8,10]
[10,9,7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7,9,10]
[10,9,8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8,9,10]
[2,3,5,4,1,6,7,8,9,10]=>[10,9,8,7,6,1,4,5,3,2]
[2,6,5,4,3,1,7,8,9,10]=>[10,9,8,7,1,3,4,5,6,2]
[3,2,6,5,4,1,7,8,9,10]=>[10,9,8,7,1,4,5,6,2,3]
[2,3,6,5,4,1,7,8,9,10]=>[10,9,8,7,1,4,5,6,3,2]
[2,4,3,6,5,1,7,8,9,10]=>[10,9,8,7,1,5,6,3,4,2]
[2,3,4,6,5,1,7,8,9,10]=>[10,9,8,7,1,5,6,4,3,2]
[2,3,7,6,5,4,1,8,9,10]=>[10,9,8,1,4,5,6,7,3,2]
[4,3,2,7,6,5,1,8,9,10]=>[10,9,8,1,5,6,7,2,3,4]
[2,3,4,7,6,5,1,8,9,10]=>[10,9,8,1,5,6,7,4,3,2]
[2,3,5,4,7,6,1,8,9,10]=>[10,9,8,1,6,7,4,5,3,2]
[2,3,4,5,7,6,1,8,9,10]=>[10,9,8,1,6,7,5,4,3,2]
[3,2,5,4,8,7,6,1,9,10]=>[10,9,1,6,7,8,4,5,2,3]
[2,3,5,4,8,7,6,1,9,10]=>[10,9,1,6,7,8,4,5,3,2]
[2,3,4,5,8,7,6,1,9,10]=>[10,9,1,6,7,8,5,4,3,2]
[2,4,3,6,5,8,7,1,9,10]=>[10,9,1,7,8,5,6,3,4,2]
[2,3,4,6,5,8,7,1,9,10]=>[10,9,1,7,8,5,6,4,3,2]
[2,3,4,5,6,8,7,1,9,10]=>[10,9,1,7,8,6,5,4,3,2]
[1,9,4,3,5,2,7,8,6,10]=>[10,6,8,7,2,5,3,4,9,1]
[1,9,4,2,7,8,6,10,3,5]=>[5,3,10,6,8,7,2,4,9,1]
[1,9,5,2,7,8,6,10,3,4]=>[4,3,10,6,8,7,2,5,9,1]
[1,9,5,2,7,8,6,10,4,3]=>[3,4,10,6,8,7,2,5,9,1]
[1,9,4,3,5,2,6,10,7,8]=>[8,7,10,6,2,5,3,4,9,1]
[1,9,4,2,6,10,3,5,7,8]=>[8,7,5,3,10,6,2,4,9,1]
[1,9,5,2,6,10,3,4,7,8]=>[8,7,4,3,10,6,2,5,9,1]
[1,9,5,2,6,10,4,3,7,8]=>[8,7,3,4,10,6,2,5,9,1]
[1,9,6,10,2,5,3,4,7,8]=>[8,7,4,3,5,2,10,6,9,1]
[1,9,6,10,3,4,2,5,7,8]=>[8,7,5,2,4,3,10,6,9,1]
[1,9,6,10,4,2,5,3,7,8]=>[8,7,3,5,2,4,10,6,9,1]
[1,9,6,10,5,2,4,3,7,8]=>[8,7,3,4,2,5,10,6,9,1]
[1,8,6,10,2,7,9,4,3,5]=>[5,3,4,9,7,2,10,6,8,1]
[1,8,6,10,3,5,2,7,9,4]=>[4,9,7,2,5,3,10,6,8,1]
[1,8,6,10,2,7,9,5,3,4]=>[4,3,5,9,7,2,10,6,8,1]
[1,8,6,10,3,4,2,7,9,5]=>[5,9,7,2,4,3,10,6,8,1]
[1,8,6,10,4,2,7,9,5,3]=>[3,5,9,7,2,4,10,6,8,1]
[1,8,7,9,4,3,5,2,6,10]=>[10,6,2,5,3,4,9,7,8,1]
[1,8,7,9,4,2,6,10,3,5]=>[5,3,10,6,2,4,9,7,8,1]
[1,8,7,9,5,2,6,10,3,4]=>[4,3,10,6,2,5,9,7,8,1]
[1,8,7,9,5,2,6,10,4,3]=>[3,4,10,6,2,5,9,7,8,1]
[1,8,7,9,6,10,2,5,3,4]=>[4,3,5,2,10,6,9,7,8,1]
[1,8,7,9,6,10,3,4,2,5]=>[5,2,4,3,10,6,9,7,8,1]
[1,8,7,9,6,10,4,2,5,3]=>[3,5,2,4,10,6,9,7,8,1]
[1,8,7,9,6,10,5,2,4,3]=>[3,4,2,5,10,6,9,7,8,1]
[1,7,9,4,3,5,2,6,10,8]=>[8,10,6,2,5,3,4,9,7,1]
[1,7,9,4,2,6,10,3,5,8]=>[8,5,3,10,6,2,4,9,7,1]
[1,7,9,5,2,6,10,3,4,8]=>[8,4,3,10,6,2,5,9,7,1]
[1,7,9,5,2,6,10,4,3,8]=>[8,3,4,10,6,2,5,9,7,1]
[1,7,9,6,10,2,5,3,4,8]=>[8,4,3,5,2,10,6,9,7,1]
[1,7,9,6,10,3,4,2,5,8]=>[8,5,2,4,3,10,6,9,7,1]
[1,7,9,6,10,4,2,5,3,8]=>[8,3,5,2,4,10,6,9,7,1]
[1,7,9,6,10,5,2,4,3,8]=>[8,3,4,2,5,10,6,9,7,1]
[1,6,10,2,5,3,4,7,9,8]=>[8,9,7,4,3,5,2,10,6,1]
[1,6,10,3,4,2,5,7,9,8]=>[8,9,7,5,2,4,3,10,6,1]
[1,6,10,4,2,5,3,7,9,8]=>[8,9,7,3,5,2,4,10,6,1]
[1,6,10,5,2,4,3,7,9,8]=>[8,9,7,3,4,2,5,10,6,1]
[2,1,4,3,10,9,7,5,8,6]=>[6,8,5,7,9,10,3,4,1,2]
[2,1,8,7,5,3,6,4,10,9]=>[9,10,4,6,3,5,7,8,1,2]
[2,1,10,7,5,9,6,3,8,4]=>[4,8,3,6,9,5,7,10,1,2]
[2,1,10,9,4,6,7,3,8,5]=>[5,8,3,7,6,4,9,10,1,2]
[2,1,10,3,9,6,4,8,7,5]=>[5,7,8,4,6,9,3,10,1,2]
[4,1,3,2,10,9,7,5,8,6]=>[6,8,5,7,9,10,2,3,1,4]
[6,5,3,1,4,2,8,7,10,9]=>[9,10,7,8,2,4,1,3,5,6]
[6,5,3,1,4,2,10,7,9,8]=>[8,9,7,10,2,4,1,3,5,6]
[8,5,3,7,4,1,6,2,10,9]=>[9,10,2,6,1,4,7,3,5,8]
[10,5,3,8,4,1,2,7,9,6]=>[6,9,7,2,1,4,8,3,5,10]
[10,6,3,9,2,5,7,1,8,4]=>[4,8,1,7,5,2,9,3,6,10]
[10,6,3,1,9,5,2,8,7,4]=>[4,7,8,2,5,9,1,3,6,10]
[10,7,3,1,2,4,6,8,9,5]=>[5,9,8,6,4,2,1,3,7,10]
[8,7,2,4,5,1,6,3,10,9]=>[9,10,3,6,1,5,4,2,7,8]
[10,7,2,4,5,9,6,1,8,3]=>[3,8,1,6,9,5,4,2,7,10]
[8,1,7,4,2,6,5,3,10,9]=>[9,10,3,5,6,2,4,7,1,8]
[10,9,7,4,2,6,5,1,8,3]=>[3,8,1,5,6,2,4,7,9,10]
[10,1,8,4,9,6,2,7,5,3]=>[3,5,7,2,6,9,4,8,1,10]
[10,9,2,3,5,6,7,1,8,4]=>[4,8,1,7,6,5,3,2,9,10]
[10,1,9,3,5,6,2,8,7,4]=>[4,7,8,2,6,5,3,9,1,10]
[10,1,2,9,5,3,7,8,6,4]=>[4,6,8,7,3,5,9,2,1,10]
[4,1,10,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,10,1,4]
[6,1,10,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,10,1,6]
[7,1,10,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,10,1,7]
[3,1,10,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,10,1,3]
[4,1,10,5,2,3,6,7,8,9]=>[9,8,7,6,3,2,5,10,1,4]
[10,6,1,5,2,3,4,7,8,9]=>[9,8,7,4,3,2,5,1,6,10]
[6,1,10,7,2,3,4,5,8,9]=>[9,8,5,4,3,2,7,10,1,6]
[7,1,10,8,2,3,4,5,6,9]=>[9,6,5,4,3,2,8,10,1,7]
[10,9,1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1,9,10]
[10,2,7,4,6,5,8,9,3,1]=>[1,3,9,8,5,6,4,7,2,10]
[9,2,8,4,6,7,5,3,10,1]=>[1,10,3,5,7,6,4,8,2,9]
[10,2,8,4,6,7,5,9,3,1]=>[1,3,9,5,7,6,4,8,2,10]
[10,2,9,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,9,2,10]
[9,2,7,6,5,4,8,3,10,1]=>[1,10,3,8,4,5,6,7,2,9]
[10,2,7,6,5,4,8,9,3,1]=>[1,3,9,8,4,5,6,7,2,10]
[9,2,8,6,5,7,4,3,10,1]=>[1,10,3,4,7,5,6,8,2,9]
[10,2,8,6,5,7,4,9,3,1]=>[1,3,9,4,7,5,6,8,2,10]
[10,2,9,6,5,7,8,4,3,1]=>[1,3,4,8,7,5,6,9,2,10]
[9,2,8,7,6,5,4,3,10,1]=>[1,10,3,4,5,6,7,8,2,9]
[10,2,8,7,6,5,4,9,3,1]=>[1,3,9,4,5,6,7,8,2,10]
[10,2,9,7,6,5,8,4,3,1]=>[1,3,4,8,5,6,7,9,2,10]
[10,2,9,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,9,2,10]
[9,7,3,4,6,5,8,2,10,1]=>[1,10,2,8,5,6,4,3,7,9]
[10,7,3,4,6,5,8,9,2,1]=>[1,2,9,8,5,6,4,3,7,10]
[9,8,3,4,6,7,5,2,10,1]=>[1,10,2,5,7,6,4,3,8,9]
[10,8,3,4,6,7,5,9,2,1]=>[1,2,9,5,7,6,4,3,8,10]
[10,9,3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3,9,10]
[9,7,3,6,5,4,8,2,10,1]=>[1,10,2,8,4,5,6,3,7,9]
[10,7,3,6,5,4,8,9,2,1]=>[1,2,9,8,4,5,6,3,7,10]
[9,8,3,6,5,7,4,2,10,1]=>[1,10,2,4,7,5,6,3,8,9]
[10,8,3,6,5,7,4,9,2,1]=>[1,2,9,4,7,5,6,3,8,10]
[10,9,3,6,5,7,8,4,2,1]=>[1,2,4,8,7,5,6,3,9,10]
[9,8,3,7,6,5,4,2,10,1]=>[1,10,2,4,5,6,7,3,8,9]
[10,8,3,7,6,5,4,9,2,1]=>[1,2,9,4,5,6,7,3,8,10]
[10,9,3,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,3,9,10]
[10,9,3,8,6,7,5,4,2,1]=>[1,2,4,5,7,6,8,3,9,10]
[9,7,6,4,5,3,8,2,10,1]=>[1,10,2,8,3,5,4,6,7,9]
[10,7,6,4,5,3,8,9,2,1]=>[1,2,9,8,3,5,4,6,7,10]
[9,8,6,4,5,7,3,2,10,1]=>[1,10,2,3,7,5,4,6,8,9]
[10,9,6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6,9,10]
[10,8,7,4,6,5,3,9,2,1]=>[1,2,9,3,5,6,4,7,8,10]
[10,9,7,4,6,5,8,3,2,1]=>[1,2,3,8,5,6,4,7,9,10]
[1,5,3,2,10,9,8,7,6,4]=>[4,6,7,8,9,10,2,3,5,1]
[1,10,9,8,7,5,3,2,6,4]=>[4,6,2,3,5,7,8,9,10,1]
[1,10,9,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,9,10,1]
[1,4,10,9,8,7,6,5,2,3]=>[3,2,5,6,7,8,9,10,4,1]
[1,5,10,9,8,7,6,3,2,4]=>[4,2,3,6,7,8,9,10,5,1]
[1,5,3,2,6,10,9,8,7,4]=>[4,7,8,9,10,6,2,3,5,1]
[1,7,10,9,8,5,3,2,6,4]=>[4,6,2,3,5,8,9,10,7,1]
[1,8,10,9,6,4,2,7,5,3]=>[3,5,7,2,4,6,9,10,8,1]
[1,8,6,4,2,9,10,7,5,3]=>[3,5,7,10,9,2,4,6,8,1]
[1,5,2,7,3,9,4,10,6,8]=>[8,6,10,4,9,3,7,2,5,1]
[1,5,2,7,3,9,4,6,8,10]=>[10,8,6,4,9,3,7,2,5,1]
[1,5,2,7,3,4,6,9,8,10]=>[10,8,9,6,4,3,7,2,5,1]
[1,5,2,3,4,7,6,9,8,10]=>[10,8,9,6,7,4,3,2,5,1]
[9,5,7,10,1,2,3,4,6,8]=>[8,6,4,3,2,1,10,7,5,9]
[10,1,2,3,5,7,9,4,6,8]=>[8,6,4,9,7,5,3,2,1,10]
[10,7,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,7,10]
[9,7,10,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,10,7,9]
[9,5,1,2,3,4,7,10,6,8]=>[8,6,10,7,4,3,2,1,5,9]
[9,5,7,10,4,1,2,3,6,8]=>[8,6,3,2,1,4,10,7,5,9]
[10,3,1,2,5,7,9,4,6,8]=>[8,6,4,9,7,5,2,1,3,10]
[10,3,5,7,9,2,1,4,6,8]=>[8,6,4,1,2,9,7,5,3,10]
[3,5,1,2,6,4,8,7,10,9]=>[9,10,7,8,4,6,2,1,5,3]
[8,7,6,1,2,3,4,5,9,10]=>[10,9,5,4,3,2,1,6,7,8]
[8,10,7,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,7,10,8]
[7,6,5,4,1,2,3,8,9,10]=>[10,9,8,3,2,1,4,5,6,7]
[7,10,6,5,1,2,3,4,8,9]=>[9,8,4,3,2,1,5,6,10,7]
[7,6,9,8,1,2,3,4,5,10]=>[10,5,4,3,2,1,8,9,6,7]
[7,9,10,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,10,9,7]
[6,10,5,4,3,1,2,7,8,9]=>[9,8,7,2,1,3,4,5,10,6]
[6,5,9,8,4,1,2,3,7,10]=>[10,7,3,2,1,4,8,9,5,6]
[6,9,10,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,10,9,6]
[6,8,5,10,7,1,2,3,4,9]=>[9,4,3,2,1,7,10,5,8,6]
[5,4,9,8,3,2,1,6,7,10]=>[10,7,6,1,2,3,8,9,4,5]
[5,9,10,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,10,9,5]
[5,4,3,8,7,6,1,2,9,10]=>[10,9,2,1,6,7,8,3,4,5]
[5,8,9,10,4,3,1,2,6,7]=>[7,6,2,1,3,4,10,9,8,5]
[5,4,7,6,9,8,1,2,3,10]=>[10,3,2,1,8,9,6,7,4,5]
[5,7,8,9,10,4,1,2,3,6]=>[6,3,2,1,4,10,9,8,7,5]
[4,7,3,2,10,6,5,1,8,9]=>[9,8,1,5,6,10,2,3,7,4]
[4,3,7,6,9,8,2,1,5,10]=>[10,5,1,2,8,9,6,7,3,4]
[4,7,9,3,10,6,2,1,5,8]=>[8,5,1,2,6,10,3,9,7,4]
[4,7,8,9,10,3,2,1,5,6]=>[6,5,1,2,3,10,9,8,7,4]
[4,6,8,9,3,10,5,1,2,7]=>[7,2,1,5,10,3,9,8,6,4]
[4,6,7,8,9,10,3,1,2,5]=>[5,2,1,3,10,9,8,7,6,4]
[6,8,5,7,9,10,2,1,4,3]=>[3,4,1,2,10,9,7,5,8,6]
[6,8,5,9,7,10,2,1,4,3]=>[3,4,1,2,10,7,9,5,8,6]
[7,9,5,10,8,2,1,3,6,4]=>[4,6,3,1,2,8,10,5,9,7]
[7,9,5,10,8,2,1,4,3,6]=>[6,3,4,1,2,8,10,5,9,7]
[7,9,5,10,8,1,2,4,3,6]=>[6,3,4,2,1,8,10,5,9,7]
[7,9,6,10,8,2,1,4,3,5]=>[5,3,4,1,2,8,10,6,9,7]
[7,8,6,10,9,2,1,4,3,5]=>[5,3,4,1,2,9,10,6,8,7]
[5,6,7,8,9,1,2,4,3,10]=>[10,3,4,2,1,9,8,7,6,5]
[1,6,7,8,9,10,2,3,5,4]=>[4,5,3,2,10,9,8,7,6,1]
[7,10,6,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,6,10,7]
[6,10,5,4,9,8,7,3,2,1]=>[1,2,3,7,8,9,4,5,10,6]
[6,10,9,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,9,10,6]
[5,10,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,10,5]
[5,4,10,9,3,8,7,6,2,1]=>[1,2,6,7,8,3,9,10,4,5]
[5,10,9,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,9,10,5]
[4,10,9,8,3,2,7,6,5,1]=>[1,5,6,7,2,3,8,9,10,4]
[4,10,9,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,9,10,4]
[3,2,10,9,8,7,1,6,5,4]=>[4,5,6,1,7,8,9,10,2,3]
[3,10,9,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,9,10,3]
[3,10,9,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,9,10,3]
[3,10,9,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,9,10,3]
[3,10,9,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,9,10,3]
[4,1,10,9,3,2,8,7,6,5]=>[5,6,7,8,2,3,9,10,1,4]
[10,4,2,1,3,9,8,7,6,5]=>[5,6,7,8,9,3,1,2,4,10]
[1,2,10,4,3,9,8,7,6,5]=>[5,6,7,8,9,3,4,10,2,1]
[10,5,4,1,9,8,3,2,7,6]=>[6,7,2,3,8,9,1,4,5,10]
[2,10,5,1,9,4,3,8,7,6]=>[6,7,8,3,4,9,1,5,10,2]
[1,5,2,10,9,4,3,8,7,6]=>[6,7,8,3,4,9,10,2,5,1]
[1,10,5,3,2,4,9,8,7,6]=>[6,7,8,9,4,2,3,5,10,1]
[1,2,3,10,5,4,9,8,7,6]=>[6,7,8,9,4,5,10,3,2,1]
[6,2,10,5,1,9,8,4,3,7]=>[7,3,4,8,9,1,5,10,2,6]
[1,10,6,5,2,9,8,4,3,7]=>[7,3,4,8,9,2,5,6,10,1]
[3,6,10,9,5,2,1,4,8,7]=>[7,8,4,1,2,5,9,10,6,3]
[1,2,6,3,10,9,5,4,8,7]=>[7,8,4,5,9,10,3,6,2,1]
[10,6,4,2,1,3,5,9,8,7]=>[7,8,9,5,3,1,2,4,6,10]
[1,2,10,6,4,3,5,9,8,7]=>[7,8,9,5,3,4,6,10,2,1]
[1,2,3,4,10,6,5,9,8,7]=>[7,8,9,5,6,10,4,3,2,1]
[4,7,1,10,9,6,3,2,5,8]=>[8,5,2,3,6,9,10,1,7,4]
[4,10,7,2,1,3,9,6,5,8]=>[8,5,6,9,3,1,2,7,10,4]
[1,4,2,10,7,3,9,6,5,8]=>[8,5,6,9,3,7,10,2,4,1]
[1,2,3,7,4,10,9,6,5,8]=>[8,5,6,9,10,4,7,3,2,1]
[1,10,7,5,3,2,4,6,9,8]=>[8,9,6,4,2,3,5,7,10,1]
[1,2,3,10,7,5,4,6,9,8]=>[8,9,6,4,5,7,10,3,2,1]
[1,2,3,4,5,10,7,6,9,8]=>[8,9,6,7,10,5,4,3,2,1]
[1,2,10,8,6,4,3,5,7,9]=>[9,7,5,3,4,6,8,10,2,1]
[1,2,3,4,10,8,6,5,7,9]=>[9,7,5,6,8,10,4,3,2,1]
[10,1,2,3,4,5,9,8,6,7]=>[7,6,8,9,5,4,3,2,1,10]
[2,6,4,1,3,8,5,10,7,9]=>[9,7,10,5,8,3,1,4,6,2]
[2,8,4,1,6,3,5,10,7,9]=>[9,7,10,5,3,6,1,4,8,2]
[2,7,4,1,6,3,9,5,10,8]=>[8,10,5,9,3,6,1,4,7,2]
[2,5,4,1,7,3,9,6,10,8]=>[8,10,6,9,3,7,1,4,5,2]
[8,3,4,1,6,2,5,10,7,9]=>[9,7,10,5,2,6,1,4,3,8]
[2,10,5,1,6,3,8,4,7,9]=>[9,7,4,8,3,6,1,5,10,2]
[2,9,4,1,7,3,8,5,10,6]=>[6,10,5,8,3,7,1,4,9,2]
[2,7,4,1,6,3,10,5,8,9]=>[9,8,5,10,3,6,1,4,7,2]
[2,5,4,1,9,3,8,6,10,7]=>[7,10,6,8,3,9,1,4,5,2]
[2,3,7,1,6,4,9,5,10,8]=>[8,10,5,9,4,6,1,7,3,2]
[5,1,4,2,7,3,9,6,10,8]=>[8,10,6,9,3,7,2,4,1,5]
[10,1,4,5,2,3,6,7,8,9]=>[9,8,7,6,3,2,5,4,1,10]
[10,1,2,6,5,3,4,7,8,9]=>[9,8,7,4,3,5,6,2,1,10]
[10,1,2,3,4,7,8,5,6,9]=>[9,6,5,8,7,4,3,2,1,10]
[10,9,8,7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7,8,9,10]
[10,9,8,2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2,8,9,10]
[10,9,8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8,9,10]
[10,2,9,3,8,4,7,1,5,6]=>[6,5,1,7,4,8,3,9,2,10]
[10,9,3,8,1,4,7,2,5,6]=>[6,5,2,7,4,1,8,3,9,10]
[10,9,3,8,4,7,1,2,5,6]=>[6,5,2,1,7,4,8,3,9,10]
[10,9,8,2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2,8,9,10]
[10,9,8,4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4,8,9,10]
[3,10,4,9,5,8,1,2,6,7]=>[7,6,2,1,8,5,9,4,10,3]
[10,1,4,9,2,5,8,3,6,7]=>[7,6,3,8,5,2,9,4,1,10]
[10,4,9,5,8,1,2,3,6,7]=>[7,6,3,2,1,8,5,9,4,10]
[10,9,3,5,8,1,2,4,6,7]=>[7,6,4,2,1,8,5,3,9,10]
[10,9,5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5,9,10]
[2,5,10,3,6,9,1,4,7,8]=>[8,7,4,1,9,6,3,10,5,2]
[5,10,1,3,6,9,2,4,7,8]=>[8,7,4,2,9,6,3,1,10,5]
[5,10,3,6,9,1,2,4,7,8]=>[8,7,4,2,1,9,6,3,10,5]
[5,10,6,9,1,2,3,4,7,8]=>[8,7,4,3,2,1,9,6,10,5]
[10,2,4,6,9,1,3,5,7,8]=>[8,7,5,3,1,9,6,4,2,10]
[10,4,6,9,1,2,3,5,7,8]=>[8,7,5,3,2,1,9,6,4,10]
[10,6,9,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,9,6,10]
[5,7,10,1,2,3,4,6,8,9]=>[9,8,6,4,3,2,1,10,7,5]
[10,8,6,3,2,1,4,5,7,9]=>[9,7,5,4,1,2,3,6,8,10]
[10,8,5,4,2,1,3,6,7,9]=>[9,7,6,3,1,2,4,5,8,10]
[10,8,5,3,2,1,4,6,7,9]=>[9,7,6,4,1,2,3,5,8,10]
[10,8,4,3,2,1,5,6,7,9]=>[9,7,6,5,1,2,3,4,8,10]
[10,7,6,4,2,1,3,5,8,9]=>[9,8,5,3,1,2,4,6,7,10]
[10,7,6,3,2,1,4,5,8,9]=>[9,8,5,4,1,2,3,6,7,10]
[10,7,5,4,2,1,3,6,8,9]=>[9,8,6,3,1,2,4,5,7,10]
[10,7,5,3,2,1,4,6,8,9]=>[9,8,6,4,1,2,3,5,7,10]
[10,7,4,3,2,1,5,6,8,9]=>[9,8,6,5,1,2,3,4,7,10]
[10,6,5,4,2,1,3,7,8,9]=>[9,8,7,3,1,2,4,5,6,10]
[10,6,5,3,2,1,4,7,8,9]=>[9,8,7,4,1,2,3,5,6,10]
[10,6,4,3,2,1,5,7,8,9]=>[9,8,7,5,1,2,3,4,6,10]
[9,8,6,3,2,1,4,5,7,10]=>[10,7,5,4,1,2,3,6,8,9]
[9,8,5,4,2,1,3,6,7,10]=>[10,7,6,3,1,2,4,5,8,9]
[9,8,5,3,2,1,4,6,7,10]=>[10,7,6,4,1,2,3,5,8,9]
[9,8,4,3,2,1,5,6,7,10]=>[10,7,6,5,1,2,3,4,8,9]
[9,7,6,4,2,1,3,5,8,10]=>[10,8,5,3,1,2,4,6,7,9]
[9,7,6,3,2,1,4,5,8,10]=>[10,8,5,4,1,2,3,6,7,9]
[9,7,5,4,2,1,3,6,8,10]=>[10,8,6,3,1,2,4,5,7,9]
[9,7,4,3,2,1,5,6,8,10]=>[10,8,6,5,1,2,3,4,7,9]
[9,6,5,4,2,1,3,7,8,10]=>[10,8,7,3,1,2,4,5,6,9]
[9,6,5,3,2,1,4,7,8,10]=>[10,8,7,4,1,2,3,5,6,9]
[9,6,4,3,2,1,5,7,8,10]=>[10,8,7,5,1,2,3,4,6,9]
[9,5,4,3,2,1,6,7,8,10]=>[10,8,7,6,1,2,3,4,5,9]
[8,7,6,4,2,1,3,5,9,10]=>[10,9,5,3,1,2,4,6,7,8]
[8,7,6,3,2,1,4,5,9,10]=>[10,9,5,4,1,2,3,6,7,8]
[8,7,5,4,2,1,3,6,9,10]=>[10,9,6,3,1,2,4,5,7,8]
[8,7,5,3,2,1,4,6,9,10]=>[10,9,6,4,1,2,3,5,7,8]
[8,7,4,3,2,1,5,6,9,10]=>[10,9,6,5,1,2,3,4,7,8]
[8,6,5,4,2,1,3,7,9,10]=>[10,9,7,3,1,2,4,5,6,8]
[8,5,4,3,2,1,6,7,9,10]=>[10,9,7,6,1,2,3,4,5,8]
[7,6,5,4,2,1,3,8,9,10]=>[10,9,8,3,1,2,4,5,6,7]
[7,6,5,3,2,1,4,8,9,10]=>[10,9,8,4,1,2,3,5,6,7]
[10,9,2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2,9,10]
[10,9,8,7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7,8,9,10]
[10,1,5,9,8,7,2,6,4,3]=>[3,4,6,2,7,8,9,5,1,10]
[10,6,9,2,8,1,7,5,4,3]=>[3,4,5,7,1,8,2,9,6,10]
[10,9,7,8,1,2,6,5,4,3]=>[3,4,5,6,2,1,8,7,9,10]
[10,8,9,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,9,8,10]
[9,10,8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8,10,9]
[3,6,2,7,8,9,10,1,4,5]=>[5,4,1,10,9,8,7,2,6,3]
[1,5,3,4,6,7,8,9,10,2]=>[2,10,9,8,7,6,4,3,5,1]
[1,6,3,4,5,7,8,9,10,2]=>[2,10,9,8,7,5,4,3,6,1]
[6,1,3,4,5,7,8,9,10,2]=>[2,10,9,8,7,5,4,3,1,6]
[1,8,3,4,5,6,7,9,10,2]=>[2,10,9,7,6,5,4,3,8,1]
[1,9,3,4,5,6,7,8,10,2]=>[2,10,8,7,6,5,4,3,9,1]
[5,4,2,1,6,7,8,9,10,3]=>[3,10,9,8,7,6,1,2,4,5]
[6,5,2,3,1,7,8,9,10,4]=>[4,10,9,8,7,1,3,2,5,6]
[6,7,2,3,4,1,8,9,10,5]=>[5,10,9,8,1,4,3,2,7,6]
[8,7,2,3,4,5,1,9,10,6]=>[6,10,9,1,5,4,3,2,7,8]
[9,8,2,3,4,5,6,1,10,7]=>[7,10,1,6,5,4,3,2,8,9]
[2,3,4,5,10,8,6,1,9,7]=>[7,9,1,6,8,10,5,4,3,2]
[2,3,4,10,7,5,8,1,9,6]=>[6,9,1,8,5,7,10,4,3,2]
[2,3,9,6,4,7,8,1,10,5]=>[5,10,1,8,7,4,6,9,3,2]
[2,10,5,3,6,7,8,1,9,4]=>[4,9,1,8,7,6,3,5,10,2]
[10,4,2,5,6,7,8,1,9,3]=>[3,9,1,8,7,6,5,2,4,10]
[10,2,3,4,5,6,9,1,7,8]=>[8,7,1,9,6,5,4,3,2,10]
[10,2,3,4,9,1,5,6,7,8]=>[8,7,6,5,1,9,4,3,2,10]
[10,2,3,9,1,4,5,6,7,8]=>[8,7,6,5,4,1,9,3,2,10]
[9,3,4,5,6,7,10,8,1,2]=>[2,1,8,10,7,6,5,4,3,9]
[8,3,4,5,6,10,9,1,2,7]=>[7,2,1,9,10,6,5,4,3,8]
[6,2,3,4,1,10,5,7,8,9]=>[9,8,7,5,10,1,4,3,2,6]
[6,3,4,10,9,1,2,5,7,8]=>[8,7,5,2,1,9,10,4,3,6]
[5,3,10,9,1,2,4,6,7,8]=>[8,7,6,4,2,1,9,10,3,5]
[10,4,1,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,1,4,10]
[5,10,1,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,1,10,5]
[10,6,1,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,1,6,10]
[4,5,2,6,7,1,3,8,9,10]=>[10,9,8,3,1,7,6,2,5,4]
[5,6,2,7,8,9,10,1,3,4]=>[4,3,1,10,9,8,7,2,6,5]
[5,6,7,8,3,4,1,2,9,10]=>[10,9,2,1,4,3,8,7,6,5]
[5,6,3,2,7,8,1,4,9,10]=>[10,9,4,1,8,7,2,3,6,5]
[5,6,7,8,3,4,9,10,1,2]=>[2,1,10,9,4,3,8,7,6,5]
[5,6,3,2,7,8,9,10,1,4]=>[4,1,10,9,8,7,2,3,6,5]
[6,7,4,8,9,2,5,1,3,10]=>[10,3,1,5,2,9,8,4,7,6]
[6,7,4,3,2,8,9,1,5,10]=>[10,5,1,9,8,2,3,4,7,6]
[5,6,3,7,8,2,4,9,10,1]=>[1,10,9,4,2,8,7,3,6,5]
[5,6,4,3,2,7,8,9,10,1]=>[1,10,9,8,7,2,3,4,6,5]
[7,8,5,3,9,10,2,6,1,4]=>[4,1,6,2,10,9,3,5,8,7]
[7,8,5,9,10,3,6,2,4,1]=>[1,4,2,6,3,10,9,5,8,7]
[7,8,5,4,3,9,10,2,6,1]=>[1,6,2,10,9,3,4,5,8,7]
[7,8,6,5,4,3,2,9,10,1]=>[1,10,9,2,3,4,5,6,8,7]
[4,1,7,3,8,10,6,5,9,2]=>[2,9,5,6,10,8,3,7,1,4]
[4,1,7,3,9,10,6,8,5,2]=>[2,5,8,6,10,9,3,7,1,4]
[4,1,8,3,9,10,7,6,5,2]=>[2,5,6,7,10,9,3,8,1,4]
[5,1,6,8,4,3,10,7,9,2]=>[2,9,7,10,3,4,8,6,1,5]
[5,1,6,9,4,3,10,8,7,2]=>[2,7,8,10,3,4,9,6,1,5]
[5,1,7,8,4,10,6,3,9,2]=>[2,9,3,6,10,4,8,7,1,5]
[5,1,7,9,4,10,6,8,3,2]=>[2,3,8,6,10,4,9,7,1,5]
[5,1,8,9,4,10,7,6,3,2]=>[2,3,6,7,10,4,9,8,1,5]
[6,1,7,8,10,5,4,3,9,2]=>[2,9,3,4,5,10,8,7,1,6]
[6,1,7,9,10,5,4,8,3,2]=>[2,3,8,4,5,10,9,7,1,6]
[6,1,8,9,10,5,7,4,3,2]=>[2,3,4,7,5,10,9,8,1,6]
[7,1,8,9,10,6,5,4,3,2]=>[2,3,4,5,6,10,9,8,1,7]
[4,6,2,1,8,5,10,7,9,3]=>[3,9,7,10,5,8,1,2,6,4]
[4,6,2,1,9,5,10,8,7,3]=>[3,7,8,10,5,9,1,2,6,4]
[4,7,2,1,8,10,6,5,9,3]=>[3,9,5,6,10,8,1,2,7,4]
[4,7,2,1,9,10,6,8,5,3]=>[3,5,8,6,10,9,1,2,7,4]
[4,8,2,1,9,10,7,6,5,3]=>[3,5,6,7,10,9,1,2,8,4]
[5,6,2,8,4,1,10,7,9,3]=>[3,9,7,10,1,4,8,2,6,5]
[5,6,2,9,4,1,10,8,7,3]=>[3,7,8,10,1,4,9,2,6,5]
[5,7,2,8,4,10,6,1,9,3]=>[3,9,1,6,10,4,8,2,7,5]
[5,7,2,9,4,10,6,8,1,3]=>[3,1,8,6,10,4,9,2,7,5]
[5,8,2,9,4,10,7,6,1,3]=>[3,1,6,7,10,4,9,2,8,5]
[6,7,2,8,10,5,4,1,9,3]=>[3,9,1,4,5,10,8,2,7,6]
[6,7,2,9,10,5,4,8,1,3]=>[3,1,8,4,5,10,9,2,7,6]
[6,8,2,9,10,5,7,4,1,3]=>[3,1,4,7,5,10,9,2,8,6]
[7,8,2,9,10,6,5,4,1,3]=>[3,1,4,5,6,10,9,2,8,7]
[5,6,8,3,2,1,10,7,9,4]=>[4,9,7,10,1,2,3,8,6,5]
[5,6,9,3,2,1,10,8,7,4]=>[4,7,8,10,1,2,3,9,6,5]
[5,7,8,3,2,10,6,1,9,4]=>[4,9,1,6,10,2,3,8,7,5]
[5,7,9,3,2,10,6,8,1,4]=>[4,1,8,6,10,2,3,9,7,5]
[5,8,9,3,2,10,7,6,1,4]=>[4,1,6,7,10,2,3,9,8,5]
[6,7,8,3,10,5,2,1,9,4]=>[4,9,1,2,5,10,3,8,7,6]
[6,7,9,3,10,5,2,8,1,4]=>[4,1,8,2,5,10,3,9,7,6]
[6,8,9,3,10,5,7,2,1,4]=>[4,1,2,7,5,10,3,9,8,6]
[7,8,9,3,10,6,5,2,1,4]=>[4,1,2,5,6,10,3,9,8,7]
[6,7,8,10,4,3,2,1,9,5]=>[5,9,1,2,3,4,10,8,7,6]
[6,7,9,10,4,3,2,8,1,5]=>[5,1,8,2,3,4,10,9,7,6]
[6,8,9,10,4,3,7,2,1,5]=>[5,1,2,7,3,4,10,9,8,6]
[7,8,9,10,4,6,3,2,1,5]=>[5,1,2,3,6,4,10,9,8,7]
[10,1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1,10]
[10,1,3,9,4,2,8,7,6,5]=>[5,6,7,8,2,4,9,3,1,10]
[1,3,10,2,4,9,8,7,6,5]=>[5,6,7,8,9,4,2,10,3,1]
[2,10,1,4,3,9,8,7,6,5]=>[5,6,7,8,9,3,4,1,10,2]
[10,1,3,9,4,8,5,2,7,6]=>[6,7,2,5,8,4,9,3,1,10]
[4,1,3,10,2,9,5,8,7,6]=>[6,7,8,5,9,2,10,3,1,4]
[10,4,1,2,9,5,3,8,7,6]=>[6,7,8,3,5,9,2,1,4,10]
[2,10,1,5,3,4,9,8,7,6]=>[6,7,8,9,4,3,5,1,10,2]
[10,9,1,5,2,4,3,8,6,7]=>[7,6,8,3,4,2,5,1,9,10]
[10,4,9,1,5,2,8,6,3,7]=>[7,3,6,8,2,5,1,9,4,10]
[1,4,10,2,5,9,3,6,8,7]=>[7,8,6,3,9,5,2,10,4,1]
[2,10,5,1,3,9,6,4,8,7]=>[7,8,4,6,9,3,1,5,10,2]
[1,3,5,10,2,4,6,9,8,7]=>[7,8,9,6,4,2,10,5,3,1]
[2,3,4,10,1,6,5,9,8,7]=>[7,8,9,5,6,1,10,4,3,2]
[10,6,1,2,9,3,7,4,5,8]=>[8,5,4,7,3,9,2,1,6,10]
[3,6,1,4,5,10,2,9,7,8]=>[8,7,9,2,10,5,4,1,6,3]
[2,6,10,9,1,4,3,7,5,8]=>[8,5,7,3,4,1,9,10,6,2]
[2,3,10,6,1,4,9,7,5,8]=>[8,5,7,9,4,1,6,10,3,2]
[3,10,2,7,1,5,4,6,9,8]=>[8,9,6,4,5,1,7,2,10,3]
[2,3,4,5,10,1,7,6,9,8]=>[8,9,6,7,1,10,5,4,3,2]
[3,10,2,8,1,6,4,5,7,9]=>[9,7,5,4,6,1,8,2,10,3]
[3,4,10,2,8,1,6,5,7,9]=>[9,7,5,6,1,8,2,10,4,3]
[2,3,4,5,6,10,1,8,7,9]=>[9,7,8,1,10,6,5,4,3,2]
[5,8,7,10,9,4,3,2,1,6]=>[6,1,2,3,4,9,10,7,8,5]
[4,10,9,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,9,10,4]
[4,3,5,7,1,2,6,8,9,10]=>[10,9,8,6,2,1,7,5,3,4]
[4,6,1,3,8,2,5,7,9,10]=>[10,9,7,5,2,8,3,1,6,4]
[4,2,7,1,6,3,5,8,9,10]=>[10,9,8,5,3,6,1,7,2,4]
[5,3,2,1,7,4,6,8,9,10]=>[10,9,8,6,4,7,1,2,3,5]
[5,3,1,8,2,7,4,6,9,10]=>[10,9,6,4,7,2,8,1,3,5]
[6,4,3,2,1,8,5,7,9,10]=>[10,9,7,5,8,1,2,3,4,6]
[6,8,2,5,1,4,10,3,7,9]=>[9,7,3,10,4,1,5,2,8,6]
[5,3,9,2,8,1,7,4,6,10]=>[10,6,4,7,1,8,2,9,3,5]
[6,4,2,1,9,3,8,5,7,10]=>[10,7,5,8,3,9,1,2,4,6]
[7,5,4,3,2,1,9,6,8,10]=>[10,8,6,9,1,2,3,4,5,7]
[6,4,2,10,1,9,3,8,5,7]=>[7,5,8,3,9,1,10,2,4,6]
[7,5,3,2,1,10,4,9,6,8]=>[8,6,9,4,10,1,2,3,5,7]
[6,7,8,2,9,3,10,4,1,5]=>[5,1,4,10,3,9,2,8,7,6]
[5,6,7,8,9,2,10,3,1,4]=>[4,1,3,10,2,9,8,7,6,5]
[5,6,7,3,9,4,8,1,10,2]=>[2,10,1,8,4,9,3,7,6,5]
[5,7,6,3,9,4,8,1,10,2]=>[2,10,1,8,4,9,3,6,7,5]
[7,6,3,9,4,5,8,1,10,2]=>[2,10,1,8,5,4,9,3,6,7]
[10,2,7,6,3,9,4,5,8,1]=>[1,8,5,4,9,3,6,7,2,10]
[9,4,5,7,6,3,10,2,8,1]=>[1,8,2,10,3,6,7,5,4,9]
[6,4,7,5,9,3,10,2,8,1]=>[1,8,2,10,3,9,5,7,4,6]
[5,4,2,8,1,3,10,7,9,6]=>[6,9,7,10,3,1,8,2,4,5]
[8,1,7,6,4,10,3,5,9,2]=>[2,9,5,3,10,4,6,7,1,8]
[5,7,2,6,4,10,1,3,9,8]=>[8,9,3,1,10,4,6,2,7,5]
[2,7,6,3,1,10,4,5,9,8]=>[8,9,5,4,10,1,3,6,7,2]
[7,4,2,5,10,1,6,3,9,8]=>[8,9,3,6,1,10,5,2,4,7]
[6,3,5,2,10,1,4,7,9,8]=>[8,9,7,4,1,10,2,5,3,6]
[5,4,2,10,1,3,8,7,9,6]=>[6,9,7,8,3,1,10,2,4,5]
[4,1,10,3,9,8,6,5,7,2]=>[2,7,5,6,8,9,3,10,1,4]
[2,10,1,3,9,8,6,5,7,4]=>[4,7,5,6,8,9,3,1,10,2]
[10,1,7,9,4,8,6,3,5,2]=>[2,5,3,6,8,4,9,7,1,10]
[2,7,9,3,1,8,6,4,5,10]=>[10,5,4,6,8,1,3,9,7,2]
[10,1,4,9,8,5,3,6,7,2]=>[2,7,6,3,5,8,9,4,1,10]
[7,4,2,9,8,5,1,6,3,10]=>[10,3,6,1,5,8,9,2,4,7]
[6,3,9,2,8,5,1,4,7,10]=>[10,7,4,1,5,8,2,9,3,6]
[2,3,9,8,4,1,5,6,7,10]=>[10,7,6,5,1,4,8,9,3,2]
[10,1,9,6,4,7,3,8,5,2]=>[2,5,8,3,7,4,6,9,1,10]
[5,9,2,6,4,7,1,8,3,10]=>[10,3,8,1,7,4,6,2,9,5]
[2,9,6,3,1,7,4,8,5,10]=>[10,5,8,4,7,1,3,6,9,2]
[10,1,8,5,7,4,3,6,9,2]=>[2,9,6,3,4,7,5,8,1,10]
[9,8,2,5,7,4,1,6,3,10]=>[10,3,6,1,4,7,5,2,8,9]
[2,8,4,7,3,1,5,6,9,10]=>[10,9,6,5,1,3,7,4,8,2]
[9,4,2,5,6,1,7,8,3,10]=>[10,3,8,7,1,6,5,2,4,9]
[8,3,5,2,6,1,7,4,9,10]=>[10,9,4,7,1,6,2,5,3,8]
[2,1,4,3,7,10,9,5,6,8]=>[8,6,5,9,10,7,3,4,1,2]
[2,1,4,3,8,5,6,9,10,7]=>[7,10,9,6,5,8,3,4,1,2]
[2,1,5,8,7,3,4,6,10,9]=>[9,10,6,4,3,7,8,5,1,2]
[2,1,5,10,7,9,4,6,3,8]=>[8,3,6,4,9,7,10,5,1,2]
[2,1,5,10,8,3,6,9,4,7]=>[7,4,9,6,3,8,10,5,1,2]
[2,1,6,3,4,7,8,5,10,9]=>[9,10,5,8,7,4,3,6,1,2]
[2,1,6,3,7,10,9,5,4,8]=>[8,4,5,9,10,7,3,6,1,2]
[2,1,6,9,3,8,5,4,10,7]=>[7,10,4,5,8,3,9,6,1,2]
[2,1,7,3,4,5,8,9,10,6]=>[6,10,9,8,5,4,3,7,1,2]
[3,1,4,2,7,10,9,5,6,8]=>[8,6,5,9,10,7,2,4,1,3]
[3,1,4,2,8,5,6,9,10,7]=>[7,10,9,6,5,8,2,4,1,3]
[3,6,5,1,2,4,8,7,10,9]=>[9,10,7,8,4,2,1,5,6,3]
[3,6,5,1,2,4,9,7,10,8]=>[8,10,7,9,4,2,1,5,6,3]
[3,8,5,7,2,4,1,6,10,9]=>[9,10,6,1,4,2,7,5,8,3]
[3,10,5,8,2,4,6,9,1,7]=>[7,1,9,6,4,2,8,5,10,3]
[3,8,6,1,4,7,2,5,10,9]=>[9,10,5,2,7,4,1,6,8,3]
[3,10,6,1,7,9,2,4,5,8]=>[8,5,4,2,9,7,1,6,10,3]
[3,10,6,9,1,8,5,4,2,7]=>[7,2,4,5,8,1,9,6,10,3]
[3,10,7,1,4,5,8,9,2,6]=>[6,2,9,8,5,4,1,7,10,3]
[4,1,2,5,6,3,8,7,10,9]=>[9,10,7,8,3,6,5,2,1,4]
[4,1,2,5,6,3,9,7,10,8]=>[8,10,7,9,3,6,5,2,1,4]
[4,1,5,8,7,3,2,6,10,9]=>[9,10,6,2,3,7,8,5,1,4]
[4,1,5,10,7,9,2,6,3,8]=>[8,3,6,2,9,7,10,5,1,4]
[4,1,5,10,8,3,6,9,2,7]=>[7,2,9,6,3,8,10,5,1,4]
[4,7,1,6,3,2,8,5,10,9]=>[9,10,5,8,2,3,6,1,7,4]
[4,7,1,6,10,5,9,2,3,8]=>[8,3,2,9,5,10,6,1,7,4]
[4,9,1,7,3,5,8,2,10,6]=>[6,10,2,8,5,3,7,1,9,4]
[5,1,2,3,6,7,8,4,10,9]=>[9,10,4,8,7,6,3,2,1,5]
[5,1,2,6,7,10,9,3,4,8]=>[8,4,3,9,10,7,6,2,1,5]
[5,1,6,3,9,8,4,2,10,7]=>[7,10,2,4,8,9,3,6,1,5]
[1,10,2,9,3,8,5,4,6,7]=>[7,6,4,5,8,3,9,2,10,1]
[1,10,2,9,5,4,3,6,7,8]=>[8,7,6,3,4,5,9,2,10,1]
[1,10,5,4,3,2,6,7,8,9]=>[9,8,7,6,2,3,4,5,10,1]
[1,3,5,7,8,9,6,4,2,10]=>[10,2,4,6,9,8,7,5,3,1]
[1,2,4,6,8,9,10,7,5,3]=>[3,5,7,10,9,8,6,4,2,1]
[10,9,8,5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5,8,9,10]
[7,6,5,4,10,2,9,1,3,8]=>[8,3,1,9,2,10,4,5,6,7]
[10,9,4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4,9,10]
[10,9,6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6,9,10]
[8,7,4,3,2,6,10,1,5,9]=>[9,5,1,10,6,2,3,4,7,8]
[10,5,4,2,7,9,1,3,6,8]=>[8,6,3,1,9,7,2,4,5,10]
[10,7,6,2,9,1,3,4,5,8]=>[8,5,4,3,1,9,2,6,7,10]
[9,8,5,4,2,7,1,3,6,10]=>[10,6,3,1,7,2,4,5,8,9]
[8,7,2,10,1,3,4,5,6,9]=>[9,6,5,4,3,1,10,2,7,8]
[7,6,2,9,1,3,4,5,8,10]=>[10,8,5,4,3,1,9,2,6,7]
[5,2,7,4,9,6,10,8,1,3]=>[3,1,8,10,6,9,4,7,2,5]
[6,8,3,9,5,10,7,2,1,4]=>[4,1,2,7,10,5,9,3,8,6]
[7,8,9,4,10,6,3,2,1,5]=>[5,1,2,3,6,10,4,9,8,7]
[9,2,3,4,5,6,7,10,8,1]=>[1,8,10,7,6,5,4,3,2,9]
[8,2,3,4,5,6,9,10,7,1]=>[1,7,10,9,6,5,4,3,2,8]
[6,2,3,4,7,8,9,10,5,1]=>[1,5,10,9,8,7,4,3,2,6]
[5,2,3,6,7,8,9,10,4,1]=>[1,4,10,9,8,7,6,3,2,5]
[9,10,2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2,10,9]
[8,9,2,3,4,5,10,1,7,6]=>[6,7,1,10,5,4,3,2,9,8]
[2,7,3,4,1,8,5,9,10,6]=>[6,10,9,5,8,1,4,3,7,2]
[6,7,2,3,8,1,9,10,5,4]=>[4,5,10,9,1,8,3,2,7,6]
[5,6,2,7,1,8,9,10,4,3]=>[3,4,10,9,8,1,7,2,6,5]
[5,2,1,6,7,8,9,10,3,4]=>[4,3,10,9,8,7,6,1,2,5]
[6,7,2,1,8,9,10,3,4,5]=>[5,4,3,10,9,8,1,2,7,6]
[8,9,10,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,10,9,8]
[9,10,3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3,10,9]
[10,3,4,5,6,7,1,8,2,9]=>[9,2,8,1,7,6,5,4,3,10]
[9,1,2,3,4,5,8,7,6,10]=>[10,6,7,8,5,4,3,2,1,9]
[9,1,2,3,4,8,6,7,5,10]=>[10,5,7,6,8,4,3,2,1,9]
[9,1,2,3,8,5,6,7,10,4]=>[4,10,7,6,5,8,3,2,1,9]
[9,1,2,8,4,5,6,7,3,10]=>[10,3,7,6,5,4,8,2,1,9]
[9,1,8,3,4,5,6,7,2,10]=>[10,2,7,6,5,4,3,8,1,9]
[8,1,2,3,4,5,7,10,6,9]=>[9,6,10,7,5,4,3,2,1,8]
[7,1,2,3,4,8,10,6,9,5]=>[5,9,6,10,8,4,3,2,1,7]
[6,1,2,3,8,10,5,7,9,4]=>[4,9,7,5,10,8,3,2,1,6]
[5,1,2,8,10,4,6,7,3,9]=>[9,3,7,6,4,10,8,2,1,5]
[4,1,8,10,3,5,6,7,9,2]=>[2,9,7,6,5,3,10,8,1,4]
[3,8,10,2,4,5,6,7,9,1]=>[1,9,7,6,5,4,2,10,8,3]
[8,10,1,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,1,10,8]
[1,7,2,3,4,5,6,10,8,9]=>[9,8,10,6,5,4,3,2,7,1]
[7,2,3,4,5,6,8,1,10,9]=>[9,10,1,8,6,5,4,3,2,7]
[6,2,3,4,5,7,1,10,8,9]=>[9,8,10,1,7,5,4,3,2,6]
[4,2,3,5,1,10,6,7,8,9]=>[9,8,7,6,10,1,5,3,2,4]
[3,2,4,1,10,5,6,7,8,9]=>[9,8,7,6,5,10,1,4,2,3]
[1,3,5,7,9,10,8,6,2,4]=>[4,2,6,8,10,9,7,5,3,1]
[1,3,5,7,9,10,8,4,2,6]=>[6,2,4,8,10,9,7,5,3,1]
[1,3,5,7,9,10,6,4,2,8]=>[8,2,4,6,10,9,7,5,3,1]
[1,3,5,7,10,8,6,4,2,9]=>[9,2,4,6,8,10,7,5,3,1]
[1,3,5,8,10,9,6,4,2,7]=>[7,2,4,6,9,10,8,5,3,1]
[1,3,6,8,10,9,7,4,2,5]=>[5,2,4,7,9,10,8,6,3,1]
[1,4,6,8,10,9,7,5,2,3]=>[3,2,5,7,9,10,8,6,4,1]
[10,7,1,2,6,3,4,5,8,9]=>[9,8,5,4,3,6,2,1,7,10]
[7,4,1,2,3,5,10,6,8,9]=>[9,8,6,10,5,3,2,1,4,7]
[2,10,4,1,6,3,9,8,5,7]=>[7,5,8,9,3,6,1,4,10,2]
[2,10,4,1,7,8,3,5,9,6]=>[6,9,5,3,8,7,1,4,10,2]
[2,10,4,1,7,9,3,8,5,6]=>[6,5,8,3,9,7,1,4,10,2]
[2,10,4,1,8,9,7,3,5,6]=>[6,5,3,7,9,8,1,4,10,2]
[2,10,5,6,1,3,8,4,9,7]=>[7,9,4,8,3,1,6,5,10,2]
[2,10,5,6,1,3,9,8,4,7]=>[7,4,8,9,3,1,6,5,10,2]
[2,10,5,7,1,8,3,4,9,6]=>[6,9,4,3,8,1,7,5,10,2]
[2,10,5,7,1,9,3,8,4,6]=>[6,4,8,3,9,1,7,5,10,2]
[2,10,5,8,1,9,7,3,4,6]=>[6,4,3,7,9,1,8,5,10,2]
[2,10,6,7,8,1,3,4,9,5]=>[5,9,4,3,1,8,7,6,10,2]
[2,10,6,7,9,1,3,8,4,5]=>[5,4,8,3,1,9,7,6,10,2]
[2,10,6,8,9,1,7,3,4,5]=>[5,4,3,7,1,9,8,6,10,2]
[2,10,7,8,9,6,1,3,4,5]=>[5,4,3,1,6,9,8,7,10,2]
[3,4,10,1,6,2,8,5,9,7]=>[7,9,5,8,2,6,1,10,4,3]
[3,4,10,1,6,2,9,8,5,7]=>[7,5,8,9,2,6,1,10,4,3]
[3,4,10,1,7,8,2,5,9,6]=>[6,9,5,2,8,7,1,10,4,3]
[3,4,10,1,7,9,2,8,5,6]=>[6,5,8,2,9,7,1,10,4,3]
[3,4,10,1,8,9,7,2,5,6]=>[6,5,2,7,9,8,1,10,4,3]
[3,5,10,6,1,2,8,4,9,7]=>[7,9,4,8,2,1,6,10,5,3]
[3,5,10,6,1,2,9,8,4,7]=>[7,4,8,9,2,1,6,10,5,3]
[3,5,10,7,1,8,2,4,9,6]=>[6,9,4,2,8,1,7,10,5,3]
[3,5,10,7,1,9,2,8,4,6]=>[6,4,8,2,9,1,7,10,5,3]
[3,5,10,8,1,9,7,2,4,6]=>[6,4,2,7,9,1,8,10,5,3]
[3,6,10,7,8,1,2,4,9,5]=>[5,9,4,2,1,8,7,10,6,3]
[3,6,10,7,9,1,2,8,4,5]=>[5,4,8,2,1,9,7,10,6,3]
[3,6,10,8,9,1,7,2,4,5]=>[5,4,2,7,1,9,8,10,6,3]
[3,7,10,8,9,6,1,2,4,5]=>[5,4,2,1,6,9,8,10,7,3]
[4,5,6,10,1,2,8,3,9,7]=>[7,9,3,8,2,1,10,6,5,4]
[4,5,6,10,1,2,9,8,3,7]=>[7,3,8,9,2,1,10,6,5,4]
[4,5,7,10,1,8,2,3,9,6]=>[6,9,3,2,8,1,10,7,5,4]
[4,5,7,10,1,9,2,8,3,6]=>[6,3,8,2,9,1,10,7,5,4]
[4,5,8,10,1,9,7,2,3,6]=>[6,3,2,7,9,1,10,8,5,4]
[4,6,7,10,8,1,2,3,9,5]=>[5,9,3,2,1,8,10,7,6,4]
[4,6,7,10,9,1,2,8,3,5]=>[5,3,8,2,1,9,10,7,6,4]
[4,6,8,10,9,1,7,2,3,5]=>[5,3,2,7,1,9,10,8,6,4]
[4,7,8,10,9,6,1,2,3,5]=>[5,3,2,1,6,9,10,8,7,4]
[3,1,5,7,10,2,4,6,8,9]=>[9,8,6,4,2,10,7,5,1,3]
[1,5,3,7,10,2,4,6,8,9]=>[9,8,6,4,2,10,7,3,5,1]
[1,3,7,5,10,2,4,6,8,9]=>[9,8,6,4,2,10,5,7,3,1]
[1,3,5,10,8,2,4,6,7,9]=>[9,7,6,4,2,8,10,5,3,1]
[1,3,8,5,9,2,4,6,7,10]=>[10,7,6,4,2,9,5,8,3,1]
[1,3,9,6,2,4,5,7,8,10]=>[10,8,7,5,4,2,6,9,3,1]
[1,6,3,9,2,4,5,7,8,10]=>[10,8,7,5,4,2,9,3,6,1]
[4,1,6,9,2,3,5,7,8,10]=>[10,8,7,5,3,2,9,6,1,4]
[3,10,1,5,6,7,8,9,2,4]=>[4,2,9,8,7,6,5,1,10,3]
[3,10,2,1,6,7,8,9,4,5]=>[5,4,9,8,7,6,1,2,10,3]
[3,9,1,5,6,7,8,10,4,2]=>[2,4,10,8,7,6,5,1,9,3]
[2,1,4,3,7,10,9,6,8,5]=>[5,8,6,9,10,7,3,4,1,2]
[2,1,5,8,7,4,6,3,10,9]=>[9,10,3,6,4,7,8,5,1,2]
[2,1,5,10,8,4,6,9,7,3]=>[3,7,9,6,4,8,10,5,1,2]
[2,1,6,9,4,8,5,7,10,3]=>[3,10,7,5,8,4,9,6,1,2]
[3,1,4,2,7,10,9,6,8,5]=>[5,8,6,9,10,7,2,4,1,3]
[3,6,5,2,4,1,8,7,10,9]=>[9,10,7,8,1,4,2,5,6,3]
[3,6,5,2,4,1,9,7,10,8]=>[8,10,7,9,1,4,2,5,6,3]
[3,8,6,2,4,7,5,1,10,9]=>[9,10,1,5,7,4,2,6,8,3]
[3,10,6,2,7,9,1,5,4,8]=>[8,4,5,1,9,7,2,6,10,3]
[3,10,6,9,4,8,5,7,2,1]=>[1,2,7,5,8,4,9,6,10,3]
[3,10,7,2,4,5,8,9,6,1]=>[1,6,9,8,5,4,2,7,10,3]
[4,7,2,6,3,5,8,1,10,9]=>[9,10,1,8,5,3,6,2,7,4]
[4,7,2,6,10,3,9,5,8,1]=>[1,8,5,9,3,10,6,2,7,4]
[4,9,6,8,3,1,5,2,10,7]=>[7,10,2,5,1,3,8,6,9,4]
[4,9,2,7,3,5,8,6,10,1]=>[1,10,6,8,5,3,7,2,9,4]
[5,1,2,6,7,10,9,4,8,3]=>[3,8,4,9,10,7,6,2,1,5]
[5,8,2,3,7,4,6,9,10,1]=>[1,10,9,6,4,7,3,2,8,5]
[2,10,8,9,1,7,3,6,4,5]=>[5,4,6,3,7,1,9,8,10,2]
[2,10,3,9,7,8,1,6,4,5]=>[5,4,6,1,8,7,9,3,10,2]
[2,10,3,9,4,8,7,1,6,5]=>[5,6,1,7,8,4,9,3,10,2]
[2,10,3,9,8,1,7,4,6,5]=>[5,6,4,7,1,8,9,3,10,2]
[2,10,9,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,9,10,2]
[8,10,5,9,6,3,1,7,4,2]=>[2,4,7,1,3,6,9,5,10,8]
[7,3,8,10,4,1,9,6,5,2]=>[2,5,6,9,1,4,10,8,3,7]
[9,3,6,10,4,1,8,7,5,2]=>[2,5,7,8,1,4,10,6,3,9]
[8,6,10,3,9,7,4,1,5,2]=>[2,5,1,4,7,9,3,10,6,8]
[6,10,7,9,3,8,4,1,5,2]=>[2,5,1,4,8,3,9,7,10,6]
[10,3,4,8,9,7,5,1,6,2]=>[2,6,1,5,7,9,8,4,3,10]
[10,7,9,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,9,7,10]
[5,1,10,8,6,9,2,7,4,3]=>[3,4,7,2,9,6,8,10,1,5]
[5,10,6,1,7,9,2,8,4,3]=>[3,4,8,2,9,7,1,6,10,5]
[9,1,4,2,7,10,8,6,5,3]=>[3,5,6,8,10,7,2,4,1,9]
[7,8,1,4,10,2,9,6,5,3]=>[3,5,6,9,2,10,4,1,8,7]
[9,6,1,4,10,8,2,7,5,3]=>[3,5,7,2,8,10,4,1,6,9]
[8,6,4,10,1,9,7,5,2,3]=>[3,2,5,7,9,1,10,4,6,8]
[6,10,7,4,9,1,8,5,2,3]=>[3,2,5,8,1,9,4,7,10,6]
[9,1,4,10,5,8,2,7,6,3]=>[3,6,7,2,8,5,10,4,1,9]
[4,5,8,10,1,9,7,6,2,3]=>[3,2,6,7,9,1,10,8,5,4]
[7,4,10,9,5,8,1,6,2,3]=>[3,2,6,1,8,5,9,10,4,7]
[4,10,9,5,6,8,1,7,2,3]=>[3,2,7,1,8,6,5,9,10,4]
[1,2,7,10,3,8,9,6,5,4]=>[4,5,6,9,8,3,10,7,2,1]
[1,2,3,9,10,8,6,7,5,4]=>[4,5,7,6,8,10,9,3,2,1]
[1,2,8,10,6,9,7,5,3,4]=>[4,3,5,7,9,6,10,8,2,1]
[6,10,1,7,9,2,8,5,3,4]=>[4,3,5,8,2,9,7,1,10,6]
[1,9,10,5,8,2,3,7,6,4]=>[4,6,7,3,2,8,5,10,9,1]
[8,10,1,5,9,2,7,6,3,4]=>[4,3,6,7,2,9,5,1,10,8]
[7,10,5,9,1,8,6,2,3,4]=>[4,3,2,6,8,1,9,5,10,7]
[10,5,9,6,8,1,7,2,3,4]=>[4,3,2,7,1,8,6,9,5,10]
[10,8,9,1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1,9,8,10]
[10,9,1,2,7,8,6,3,4,5]=>[5,4,3,6,8,7,2,1,9,10]
[8,10,2,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,2,10,8]
[7,10,2,9,8,6,5,1,4,3]=>[3,4,1,5,6,8,9,2,10,7]
[10,9,8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8,9,10]
[10,9,8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8,9,10]
[10,9,8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8,9,10]
[10,9,1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1,9,10]
[10,3,4,1,5,6,7,8,9,2]=>[2,9,8,7,6,5,1,4,3,10]
[10,1,4,2,5,6,7,8,9,3]=>[3,9,8,7,6,5,2,4,1,10]
[10,3,4,5,1,6,7,8,9,2]=>[2,9,8,7,6,1,5,4,3,10]
[2,10,4,5,1,6,7,8,9,3]=>[3,9,8,7,6,1,5,4,10,2]
[10,1,4,5,2,6,7,8,9,3]=>[3,9,8,7,6,2,5,4,1,10]
[10,3,1,5,2,6,7,8,9,4]=>[4,9,8,7,6,2,5,1,3,10]
[10,1,2,5,3,6,7,8,9,4]=>[4,9,8,7,6,3,5,2,1,10]
[10,1,4,5,6,2,7,8,9,3]=>[3,9,8,7,2,6,5,4,1,10]
[2,3,10,5,6,1,7,8,9,4]=>[4,9,8,7,1,6,5,10,3,2]
[10,1,2,5,6,3,7,8,9,4]=>[4,9,8,7,3,6,5,2,1,10]
[10,1,4,2,6,3,7,8,9,5]=>[5,9,8,7,3,6,2,4,1,10]
[10,1,2,3,6,4,7,8,9,5]=>[5,9,8,7,4,6,3,2,1,10]
[10,3,4,1,6,7,2,8,9,5]=>[5,9,8,2,7,6,1,4,3,10]
[2,10,4,1,6,7,3,8,9,5]=>[5,9,8,3,7,6,1,4,10,2]
[10,1,4,2,6,7,3,8,9,5]=>[5,9,8,3,7,6,2,4,1,10]
[10,1,2,3,6,7,4,8,9,5]=>[5,9,8,4,7,6,3,2,1,10]
[10,3,1,5,2,7,4,8,9,6]=>[6,9,8,4,7,2,5,1,3,10]
[10,1,2,5,3,7,4,8,9,6]=>[6,9,8,4,7,3,5,2,1,10]
[10,1,2,3,4,7,5,8,9,6]=>[6,9,8,5,7,4,3,2,1,10]
[10,1,4,2,6,3,8,5,9,7]=>[7,9,5,8,3,6,2,4,1,10]
[10,1,2,3,6,4,8,5,9,7]=>[7,9,5,8,4,6,3,2,1,10]
[2,6,7,5,8,4,9,1,3,10]=>[10,3,1,9,4,8,5,7,6,2]
[6,7,5,8,4,10,2,3,1,9]=>[9,1,3,2,10,4,8,5,7,6]
[2,6,7,5,10,8,4,1,9,3]=>[3,9,1,4,8,10,5,7,6,2]
[2,6,7,5,10,3,9,1,4,8]=>[8,4,1,9,3,10,5,7,6,2]
[6,7,5,8,4,10,9,1,3,2]=>[2,3,1,9,10,4,8,5,7,6]
[2,3,6,7,1,8,4,9,10,5]=>[5,10,9,4,8,1,7,6,3,2]
[3,1,6,4,7,8,2,9,10,5]=>[5,10,9,2,8,7,4,6,1,3]
[4,1,6,2,7,8,5,9,10,3]=>[3,10,9,5,8,7,2,6,1,4]
[4,1,7,2,8,5,9,10,3,6]=>[6,3,10,9,5,8,2,7,1,4]
[4,1,6,2,7,8,5,9,3,10]=>[10,3,9,5,8,7,2,6,1,4]
[3,1,6,4,7,2,8,9,5,10]=>[10,5,9,8,2,7,4,6,1,3]
[2,3,6,1,7,4,8,9,5,10]=>[10,5,9,8,4,7,1,6,3,2]
[1,2,6,3,7,4,8,9,5,10]=>[10,5,9,8,4,7,3,6,2,1]
[1,10,8,4,9,7,6,3,5,2]=>[2,5,3,6,7,9,4,8,10,1]
[1,2,10,7,9,8,4,6,5,3]=>[3,5,6,4,8,9,7,10,2,1]
[1,10,9,4,5,6,8,7,3,2]=>[2,3,7,8,6,5,4,9,10,1]
[1,2,10,9,5,6,8,7,4,3]=>[3,4,7,8,6,5,9,10,2,1]
[1,2,3,10,9,6,8,7,5,4]=>[4,5,7,8,6,9,10,3,2,1]
[2,10,4,1,6,3,7,8,5,9]=>[9,5,8,7,3,6,1,4,10,2]
[2,10,4,1,6,8,3,7,9,5]=>[5,9,7,3,8,6,1,4,10,2]
[2,10,4,1,5,9,3,8,7,6]=>[6,7,8,3,9,5,1,4,10,2]
[2,10,4,1,5,6,7,3,8,9]=>[9,8,3,7,6,5,1,4,10,2]
[2,10,4,6,1,5,8,3,9,7]=>[7,9,3,8,5,1,6,4,10,2]
[2,10,4,6,1,5,7,8,3,9]=>[9,3,8,7,5,1,6,4,10,2]
[2,10,6,7,1,8,5,4,9,3]=>[3,9,4,5,8,1,7,6,10,2]
[2,10,3,7,1,9,5,8,4,6]=>[6,4,8,5,9,1,7,3,10,2]
[2,10,3,8,1,6,7,5,4,9]=>[9,4,5,7,6,1,8,3,10,2]
[2,10,4,5,8,1,6,7,9,3]=>[3,9,7,6,1,8,5,4,10,2]
[2,10,3,5,9,1,6,8,7,4]=>[4,7,8,6,1,9,5,3,10,2]
[2,10,3,4,9,1,7,6,8,5]=>[5,8,6,7,1,9,4,3,10,2]
[2,10,3,4,5,6,1,7,8,9]=>[9,8,7,1,6,5,4,3,10,2]
[2,4,10,3,6,1,8,5,9,7]=>[7,9,5,8,1,6,3,10,4,2]
[2,4,10,3,6,1,7,8,5,9]=>[9,5,8,7,1,6,3,10,4,2]
[2,4,10,3,6,8,1,7,9,5]=>[5,9,7,1,8,6,3,10,4,2]
[2,4,10,3,5,9,1,8,7,6]=>[6,7,8,1,9,5,3,10,4,2]
[2,4,10,3,5,6,7,1,8,9]=>[9,8,1,7,6,5,3,10,4,2]
[4,5,10,6,3,2,8,1,9,7]=>[7,9,1,8,2,3,6,10,5,4]
[4,5,10,6,3,2,7,8,1,9]=>[9,1,8,7,2,3,6,10,5,4]
[6,5,10,7,3,8,2,4,9,1]=>[1,9,4,2,8,3,7,10,5,6]
[1,5,10,7,3,9,2,8,4,6]=>[6,4,8,2,9,3,7,10,5,1]
[1,5,10,8,3,6,7,2,4,9]=>[9,4,2,7,6,3,8,10,5,1]
[4,6,10,5,8,3,2,7,9,1]=>[1,9,7,2,3,8,5,10,6,4]
[1,6,10,5,9,3,2,8,7,4]=>[4,7,8,2,3,9,5,10,6,1]
[1,6,10,4,9,3,7,2,8,5]=>[5,8,2,7,3,9,4,10,6,1]
[1,7,10,4,5,6,3,2,8,9]=>[9,8,2,3,6,5,4,10,7,1]
[2,3,6,10,4,5,8,1,9,7]=>[7,9,1,8,5,4,10,6,3,2]
[2,3,6,10,4,5,7,8,1,9]=>[9,1,8,7,5,4,10,6,3,2]
[6,3,7,10,4,8,5,2,9,1]=>[1,9,2,5,8,4,10,7,3,6]
[1,3,7,10,4,9,5,8,2,6]=>[6,2,8,5,9,4,10,7,3,1]
[1,3,8,10,4,6,7,5,2,9]=>[9,2,5,7,6,4,10,8,3,1]
[2,5,7,10,8,4,6,3,9,1]=>[1,9,3,6,4,8,10,7,5,2]
[1,5,7,10,9,4,6,8,3,2]=>[2,3,8,6,4,9,10,7,5,1]
[1,2,8,10,9,4,7,6,3,5]=>[5,3,6,7,4,9,10,8,2,1]
[1,2,8,10,5,6,4,7,3,9]=>[9,3,7,4,6,5,10,8,2,1]
[2,3,4,8,10,5,6,7,9,1]=>[1,9,7,6,5,10,8,4,3,2]
[1,3,4,9,10,5,6,8,7,2]=>[2,7,8,6,5,10,9,4,3,1]
[1,2,4,9,10,5,7,6,8,3]=>[3,8,6,7,5,10,9,4,2,1]
[1,2,3,9,10,6,5,7,8,4]=>[4,8,7,5,6,10,9,3,2,1]
[10,9,4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4,9,10]
[10,9,6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6,9,10]
[7,10,9,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,9,10,7]
[2,3,10,1,9,4,5,6,7,8]=>[8,7,6,5,4,9,1,10,3,2]
[2,3,4,9,1,10,5,6,7,8]=>[8,7,6,5,10,1,9,4,3,2]
[10,3,4,5,1,2,9,6,7,8]=>[8,7,6,9,2,1,5,4,3,10]
[10,6,4,5,1,2,3,9,7,8]=>[8,7,9,3,2,1,5,4,6,10]
[7,9,6,5,1,2,3,4,10,8]=>[8,10,4,3,2,1,5,6,9,7]
[6,10,9,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,9,10,6]
[10,4,8,7,2,1,3,5,6,9]=>[9,6,5,3,1,2,7,8,4,10]
[7,4,10,9,2,1,3,5,6,8]=>[8,6,5,3,1,2,9,10,4,7]
[4,2,10,9,8,1,3,5,6,7]=>[7,6,5,3,1,8,9,10,2,4]
[10,8,2,6,5,1,3,4,7,9]=>[9,7,4,3,1,5,6,2,8,10]
[2,10,9,6,5,1,3,4,7,8]=>[8,7,4,3,1,5,6,9,10,2]
[10,5,2,8,7,1,3,4,6,9]=>[9,6,4,3,1,7,8,2,5,10]
[7,5,2,10,9,1,3,4,6,8]=>[8,6,4,3,1,9,10,2,5,7]
[5,2,10,1,9,8,3,4,6,7]=>[7,6,4,3,8,9,1,10,2,5]
[10,2,1,8,7,6,3,4,5,9]=>[9,5,4,3,6,7,8,1,2,10]
[7,2,6,10,1,9,3,4,5,8]=>[8,5,4,3,9,1,10,6,2,7]
[2,6,1,10,9,8,3,4,5,7]=>[7,5,4,3,8,9,10,1,6,2]
[10,8,6,1,4,3,2,5,7,9]=>[9,7,5,2,3,4,1,6,8,10]
[6,10,9,1,4,3,2,5,7,8]=>[8,7,5,2,3,4,1,9,10,6]
[10,1,8,7,4,3,2,5,6,9]=>[9,6,5,2,3,4,7,8,1,10]
[7,1,10,9,4,3,2,5,6,8]=>[8,6,5,2,3,4,9,10,1,7]
[1,4,10,9,8,3,2,5,6,7]=>[7,6,5,2,3,8,9,10,4,1]
[10,8,3,1,6,5,2,4,7,9]=>[9,7,4,2,5,6,1,3,8,10]
[3,10,9,1,6,5,2,4,7,8]=>[8,7,4,2,5,6,1,9,10,3]
[10,5,3,1,8,7,2,4,6,9]=>[9,6,4,2,7,8,1,3,5,10]
[5,3,10,1,2,9,8,4,6,7]=>[7,6,4,8,9,2,1,10,3,5]
[10,3,1,8,2,7,6,4,5,9]=>[9,5,4,6,7,2,8,1,3,10]
[3,10,1,7,6,2,9,4,5,8]=>[8,5,4,9,2,6,7,1,10,3]
[3,1,10,6,2,9,8,4,5,7]=>[7,5,4,8,9,2,6,10,1,3]
[3,1,2,10,9,4,8,7,5,6]=>[6,5,7,8,4,9,10,2,1,3]
[10,8,1,2,6,5,4,3,7,9]=>[9,7,3,4,5,6,2,1,8,10]
[1,10,9,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,9,10,1]
[10,5,1,4,8,2,7,3,6,9]=>[9,6,3,7,2,8,4,1,5,10]
[5,10,1,4,7,2,9,3,6,8]=>[8,6,3,9,2,7,4,1,10,5]
[5,1,10,4,2,9,3,8,6,7]=>[7,6,8,3,9,2,4,10,1,5]
[10,1,4,2,8,7,6,3,5,9]=>[9,5,3,6,7,8,2,4,1,10]
[7,1,4,6,10,2,9,3,5,8]=>[8,5,3,9,2,10,6,4,1,7]
[1,4,2,10,3,9,8,7,5,6]=>[6,5,7,8,9,3,10,2,4,1]
[10,1,2,3,8,7,6,5,4,9]=>[9,4,5,6,7,8,3,2,1,10]
[7,1,2,6,10,5,3,9,4,8]=>[8,4,9,3,5,10,6,2,1,7]
[1,6,2,5,10,9,3,8,4,7]=>[7,4,8,3,9,10,5,2,6,1]
[8,2,1,4,3,6,5,9,10,7]=>[7,10,9,5,6,3,4,1,2,8]
[9,2,1,4,3,8,7,5,6,10]=>[10,6,5,7,8,3,4,1,2,9]
[8,2,1,4,3,9,7,5,10,6]=>[6,10,5,7,9,3,4,1,2,8]
[7,2,1,4,3,8,9,10,5,6]=>[6,5,10,9,8,3,4,1,2,7]
[9,2,1,6,5,3,4,8,7,10]=>[10,7,8,4,3,5,6,1,2,9]
[8,2,1,6,5,3,4,9,10,7]=>[7,10,9,4,3,5,6,1,2,8]
[9,2,1,8,5,3,7,4,6,10]=>[10,6,4,7,3,5,8,1,2,9]
[8,2,1,9,5,3,7,4,10,6]=>[6,10,4,7,3,5,9,1,2,8]
[7,2,1,8,5,3,9,10,4,6]=>[6,4,10,9,3,5,8,1,2,7]
[9,2,1,8,7,6,3,4,5,10]=>[10,5,4,3,6,7,8,1,2,9]
[8,2,1,9,7,6,3,4,10,5]=>[5,10,4,3,6,7,9,1,2,8]
[7,2,1,8,9,6,3,10,4,5]=>[5,4,10,3,6,9,8,1,2,7]
[9,4,3,1,2,6,5,8,7,10]=>[10,7,8,5,6,2,1,3,4,9]
[8,4,3,1,2,6,5,9,10,7]=>[7,10,9,5,6,2,1,3,4,8]
[9,4,3,1,2,8,7,5,6,10]=>[10,6,5,7,8,2,1,3,4,9]
[8,4,3,1,2,9,7,5,10,6]=>[6,10,5,7,9,2,1,3,4,8]
[7,4,3,1,2,8,9,10,5,6]=>[6,5,10,9,8,2,1,3,4,7]
[9,6,3,1,5,2,4,8,7,10]=>[10,7,8,4,2,5,1,3,6,9]
[8,6,3,1,5,2,4,9,10,7]=>[7,10,9,4,2,5,1,3,6,8]
[8,9,3,1,5,2,7,4,10,6]=>[6,10,4,7,2,5,1,3,9,8]
[7,8,3,1,5,2,9,10,4,6]=>[6,4,10,9,2,5,1,3,8,7]
[9,8,3,1,7,6,2,4,5,10]=>[10,5,4,2,6,7,1,3,8,9]
[8,9,3,1,7,6,2,4,10,5]=>[5,10,4,2,6,7,1,3,9,8]
[7,8,3,1,9,6,2,10,4,5]=>[5,4,10,2,6,9,1,3,8,7]
[6,7,3,1,8,9,10,2,4,5]=>[5,4,2,10,9,8,1,3,7,6]
[9,6,5,4,1,2,3,8,7,10]=>[10,7,8,3,2,1,4,5,6,9]
[8,6,5,4,1,2,3,9,10,7]=>[7,10,9,3,2,1,4,5,6,8]
[9,8,5,4,1,2,7,3,6,10]=>[10,6,3,7,2,1,4,5,8,9]
[8,9,5,4,1,2,7,3,10,6]=>[6,10,3,7,2,1,4,5,9,8]
[7,8,5,4,1,2,9,10,3,6]=>[6,3,10,9,2,1,4,5,8,7]
[8,9,7,4,1,6,2,3,10,5]=>[5,10,3,2,6,1,4,7,9,8]
[7,8,9,4,1,6,2,10,3,5]=>[5,3,10,2,6,1,4,9,8,7]
[6,7,8,4,1,9,10,2,3,5]=>[5,3,2,10,9,1,4,8,7,6]
[8,9,7,6,5,1,2,3,10,4]=>[4,10,3,2,1,5,6,7,9,8]
[7,8,9,6,5,1,2,10,3,4]=>[4,3,10,2,1,5,6,9,8,7]
[6,7,8,9,5,1,10,2,3,4]=>[4,3,2,10,1,5,9,8,7,6]
[7,3,4,5,6,8,1,9,10,2]=>[2,10,9,1,8,6,5,4,3,7]
[6,3,4,5,7,1,8,9,10,2]=>[2,10,9,8,1,7,5,4,3,6]
[5,3,4,6,1,7,8,9,10,2]=>[2,10,9,8,7,1,6,4,3,5]
[4,3,5,1,6,7,8,9,10,2]=>[2,10,9,8,7,6,1,5,3,4]
[3,9,10,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,10,9,3]
[10,9,4,5,6,7,1,3,2,8]=>[8,2,3,1,7,6,5,4,9,10]
[6,4,1,10,3,2,7,8,9,5]=>[5,9,8,7,2,3,10,1,4,6]
[6,10,1,9,3,2,7,8,4,5]=>[5,4,8,7,2,3,9,1,10,6]
[10,4,1,9,3,5,7,8,2,6]=>[6,2,8,7,5,3,9,1,4,10]
[6,10,1,8,3,2,7,4,9,5]=>[5,9,4,7,2,3,8,1,10,6]
[10,9,1,8,3,4,7,6,2,5]=>[5,2,6,7,4,3,8,1,9,10]
[10,4,1,9,3,2,7,8,6,5]=>[5,6,8,7,2,3,9,1,4,10]
[10,9,1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1,9,10]
[10,4,1,8,3,2,7,6,9,5]=>[5,9,6,7,2,3,8,1,4,10]
[9,4,1,8,3,2,7,6,5,10]=>[10,5,6,7,2,3,8,1,4,9]
[6,10,1,7,3,2,4,8,9,5]=>[5,9,8,4,2,3,7,1,10,6]
[10,9,1,7,3,4,6,8,2,5]=>[5,2,8,6,4,3,7,1,9,10]
[10,9,1,7,3,2,4,8,6,5]=>[5,6,8,4,2,3,7,1,9,10]
[10,8,1,7,3,2,4,6,9,5]=>[5,9,6,4,2,3,7,1,8,10]
[1,2,3,7,4,8,10,9,5,6]=>[6,5,9,10,8,4,7,3,2,1]
[1,2,4,6,7,8,5,10,3,9]=>[9,3,10,5,8,7,6,4,2,1]
[1,2,5,3,7,8,10,4,9,6]=>[6,9,4,10,8,7,3,5,2,1]
[1,2,6,3,7,8,10,4,5,9]=>[9,5,4,10,8,7,3,6,2,1]
[1,2,3,5,6,9,10,7,8,4]=>[4,8,7,10,9,6,5,3,2,1]
[1,2,3,9,4,5,10,7,8,6]=>[6,8,7,10,5,4,9,3,2,1]
[1,2,4,5,7,9,6,10,3,8]=>[8,3,10,6,9,7,5,4,2,1]
[1,2,5,3,4,9,10,7,8,6]=>[6,8,7,10,9,4,3,5,2,1]
[1,2,7,3,4,9,6,10,5,8]=>[8,5,10,6,9,4,3,7,2,1]
[1,2,3,8,4,7,9,10,5,6]=>[6,5,10,9,7,4,8,3,2,1]
[1,2,3,8,4,9,6,10,5,7]=>[7,5,10,6,9,4,8,3,2,1]
[1,2,5,3,8,7,9,4,10,6]=>[6,10,4,9,7,8,3,5,2,1]
[1,2,5,3,8,9,6,4,10,7]=>[7,10,4,6,9,8,3,5,2,1]
[1,2,7,3,6,8,9,4,5,10]=>[10,5,4,9,8,6,3,7,2,1]
[1,2,3,7,4,9,6,10,8,5]=>[5,8,10,6,9,4,7,3,2,1]
[1,2,4,6,7,5,9,10,3,8]=>[8,3,10,9,5,7,6,4,2,1]
[1,2,4,3,7,9,6,10,8,5]=>[5,8,10,6,9,7,3,4,2,1]
[1,2,6,3,7,5,9,10,4,8]=>[8,4,10,9,5,7,3,6,2,1]
[1,2,3,5,8,9,6,7,10,4]=>[4,10,7,6,9,8,5,3,2,1]
[1,2,3,8,4,9,6,7,10,5]=>[5,10,7,6,9,4,8,3,2,1]
[1,2,3,8,4,9,10,5,6,7]=>[7,6,5,10,9,4,8,3,2,1]
[1,2,4,7,8,5,6,9,3,10]=>[10,3,9,6,5,8,7,4,2,1]
[1,2,4,3,8,9,6,7,10,5]=>[5,10,7,6,9,8,3,4,2,1]
[1,2,7,3,8,5,6,9,4,10]=>[10,4,9,6,5,8,3,7,2,1]
[1,2,6,3,8,9,4,5,10,7]=>[7,10,5,4,9,8,3,6,2,1]
[1,2,7,3,8,9,4,5,6,10]=>[10,6,5,4,9,8,3,7,2,1]
[1,3,2,4,7,9,6,10,8,5]=>[5,8,10,6,9,7,4,2,3,1]
[1,3,2,6,7,5,9,10,4,8]=>[8,4,10,9,5,7,6,2,3,1]
[1,3,2,4,8,9,6,7,10,5]=>[5,10,7,6,9,8,4,2,3,1]
[1,3,2,7,8,5,6,9,4,10]=>[10,4,9,6,5,8,7,2,3,1]
[1,3,2,6,8,9,4,5,10,7]=>[7,10,5,4,9,8,6,2,3,1]
[3,5,7,9,10,8,6,1,4,2]=>[2,4,1,6,8,10,9,7,5,3]
[3,5,7,9,10,8,1,6,4,2]=>[2,4,6,1,8,10,9,7,5,3]
[3,5,7,10,1,9,8,6,4,2]=>[2,4,6,8,9,1,10,7,5,3]
[3,5,8,1,10,9,7,6,4,2]=>[2,4,6,7,9,10,1,8,5,3]
[3,6,1,8,10,9,7,5,4,2]=>[2,4,5,7,9,10,8,1,6,3]
[4,1,6,8,10,9,7,5,3,2]=>[2,3,5,7,9,10,8,6,1,4]
[3,7,2,6,1,5,9,4,8,10]=>[10,8,4,9,5,1,6,2,7,3]
[9,4,3,2,6,8,1,5,7,10]=>[10,7,5,1,8,6,2,3,4,9]
[3,6,9,2,1,5,8,4,7,10]=>[10,7,4,8,5,1,2,9,6,3]
[3,2,9,5,8,1,4,7,6,10]=>[10,6,7,4,1,8,5,9,2,3]
[6,2,5,1,9,4,8,3,7,10]=>[10,7,3,8,4,9,1,5,2,6]
[5,9,2,1,4,8,3,7,6,10]=>[10,6,7,3,8,4,1,2,9,5]
[4,3,7,10,2,6,1,5,8,9]=>[9,8,5,1,6,2,10,7,3,4]
[3,7,2,6,10,1,5,4,8,9]=>[9,8,4,5,1,10,6,2,7,3]
[4,8,3,10,2,6,1,5,7,9]=>[9,7,5,1,6,2,10,3,8,4]
[3,6,2,8,10,1,5,4,7,9]=>[9,7,4,5,1,10,8,2,6,3]
[8,3,2,5,7,1,4,10,6,9]=>[9,6,10,4,1,7,5,2,3,8]
[6,2,1,5,8,10,4,3,7,9]=>[9,7,3,4,10,8,5,1,2,6]
[8,2,5,1,4,7,3,10,6,9]=>[9,6,10,3,7,4,1,5,2,8]
[4,3,10,9,2,6,1,5,7,8]=>[8,7,5,1,6,2,9,10,3,4]
[6,3,10,2,9,1,5,4,7,8]=>[8,7,4,5,1,9,2,10,3,6]
[7,3,10,2,5,1,4,9,6,8]=>[8,6,9,4,1,5,2,10,3,7]
[3,10,2,9,5,1,4,6,8,7]=>[7,8,6,4,1,5,9,2,10,3]
[2,1,6,10,5,9,4,3,7,8]=>[8,7,3,4,9,5,10,6,1,2]
[5,2,7,10,1,4,3,9,6,8]=>[8,6,9,3,4,1,10,7,2,5]
[2,10,1,5,9,4,3,6,8,7]=>[7,8,6,3,4,9,5,1,10,2]
[4,8,3,7,10,2,1,5,6,9]=>[9,6,5,1,2,10,7,3,8,4]
[3,8,2,5,7,1,10,4,6,9]=>[9,6,4,10,1,7,5,2,8,3]
[8,3,7,2,6,1,4,10,5,9]=>[9,5,10,4,1,6,2,7,3,8]
[2,5,8,4,7,1,10,3,6,9]=>[9,6,3,10,1,7,4,8,5,2]
[8,2,7,1,4,6,3,10,5,9]=>[9,5,10,3,6,4,1,7,2,8]
[4,3,10,7,9,2,1,5,6,8]=>[8,6,5,1,2,9,7,10,3,4]
[10,3,5,2,7,1,9,4,6,8]=>[8,6,4,9,1,7,2,5,3,10]
[7,10,3,2,6,1,4,9,5,8]=>[8,5,9,4,1,6,2,3,10,7]
[3,6,10,9,2,1,4,5,8,7]=>[7,8,5,4,1,2,9,10,6,3]
[5,10,4,2,7,1,9,3,6,8]=>[8,6,3,9,1,7,2,4,10,5]
[7,2,4,10,1,6,3,9,5,8]=>[8,5,9,3,6,1,10,4,2,7]
[10,4,2,6,1,9,3,5,8,7]=>[7,8,5,3,9,1,6,2,4,10]
[7,6,2,10,1,5,3,9,4,8]=>[8,4,9,3,5,1,10,2,6,7]
[6,2,10,5,1,3,9,4,8,7]=>[7,8,4,9,3,1,5,10,2,6]
[5,4,8,3,7,1,10,2,6,9]=>[9,6,2,10,1,7,3,8,4,5]
[8,1,4,7,3,6,2,10,5,9]=>[9,5,10,2,6,3,7,4,1,8]
[10,5,4,3,7,1,9,2,6,8]=>[8,6,2,9,1,7,3,4,5,10]
[4,7,3,10,1,6,2,9,5,8]=>[8,5,9,2,6,1,10,3,7,4]
[4,3,10,6,1,9,2,5,8,7]=>[7,8,5,2,9,1,6,10,3,4]
[7,3,1,6,10,5,2,9,4,8]=>[8,4,9,2,5,10,6,1,3,7]
[2,3,1,7,8,9,10,4,5,6]=>[6,5,4,10,9,8,7,1,3,2]
[1,3,2,7,8,9,10,4,5,6]=>[6,5,4,10,9,8,7,2,3,1]
[1,2,3,7,8,9,10,4,5,6]=>[6,5,4,10,9,8,7,3,2,1]
[1,3,4,2,8,9,10,5,6,7]=>[7,6,5,10,9,8,2,4,3,1]
[1,4,5,2,3,8,9,10,6,7]=>[7,6,10,9,8,3,2,5,4,1]
[2,1,4,5,3,8,9,10,6,7]=>[7,6,10,9,8,3,5,4,1,2]
[1,2,4,5,3,8,9,10,6,7]=>[7,6,10,9,8,3,5,4,2,1]
[1,3,2,5,4,8,9,10,6,7]=>[7,6,10,9,8,4,5,2,3,1]
[1,2,3,5,4,8,9,10,6,7]=>[7,6,10,9,8,4,5,3,2,1]
[1,2,5,6,3,4,9,10,7,8]=>[8,7,10,9,4,3,6,5,2,1]
[2,3,1,5,6,4,9,10,7,8]=>[8,7,10,9,4,6,5,1,3,2]
[1,2,3,5,6,4,9,10,7,8]=>[8,7,10,9,4,6,5,3,2,1]
[1,2,4,3,6,5,9,10,7,8]=>[8,7,10,9,5,6,3,4,2,1]
[1,2,3,4,6,5,9,10,7,8]=>[8,7,10,9,5,6,4,3,2,1]
[2,4,6,7,8,9,10,3,1,5]=>[5,1,3,10,9,8,7,6,4,2]
[2,4,6,8,9,10,5,3,1,7]=>[7,1,3,5,10,9,8,6,4,2]
[2,4,6,8,9,10,3,1,7,5]=>[5,7,1,3,10,9,8,6,4,2]
[2,4,6,8,9,10,3,1,5,7]=>[7,5,1,3,10,9,8,6,4,2]
[2,4,6,8,10,7,5,3,1,9]=>[9,1,3,5,7,10,8,6,4,2]
[2,4,6,8,10,5,3,1,9,7]=>[7,9,1,3,5,10,8,6,4,2]
[2,4,6,8,10,5,3,1,7,9]=>[9,7,1,3,5,10,8,6,4,2]
[2,4,6,8,10,3,1,7,5,9]=>[9,5,7,1,3,10,8,6,4,2]
[2,4,6,8,10,3,1,5,7,9]=>[9,7,5,1,3,10,8,6,4,2]
[2,6,8,10,5,4,3,1,9,7]=>[7,9,1,3,4,5,10,8,6,2]
[2,6,8,10,5,4,3,1,7,9]=>[9,7,1,3,4,5,10,8,6,2]
[4,6,8,10,3,2,1,9,7,5]=>[5,7,9,1,2,3,10,8,6,4]
[4,6,8,10,3,2,1,5,7,9]=>[9,7,5,1,2,3,10,8,6,4]
[4,6,8,10,1,2,5,3,9,7]=>[7,9,3,5,2,1,10,8,6,4]
[4,6,8,10,1,2,5,3,7,9]=>[9,7,3,5,2,1,10,8,6,4]
[6,8,10,2,3,4,7,5,1,9]=>[9,1,5,7,4,3,2,10,8,6]
[6,8,10,2,3,4,5,1,9,7]=>[7,9,1,5,4,3,2,10,8,6]
[6,8,10,2,3,4,5,1,7,9]=>[9,7,1,5,4,3,2,10,8,6]
[6,8,10,2,3,4,1,5,7,9]=>[9,7,5,1,4,3,2,10,8,6]
[6,8,10,2,4,3,1,7,5,9]=>[9,5,7,1,3,4,2,10,8,6]
[6,8,10,2,4,3,1,5,7,9]=>[9,7,5,1,3,4,2,10,8,6]
[6,8,10,2,4,1,3,5,7,9]=>[9,7,5,3,1,4,2,10,8,6]
[6,8,10,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,10,8,6]
[8,10,4,6,1,2,5,3,7,9]=>[9,7,3,5,2,1,6,4,10,8]
[8,10,4,6,2,1,3,5,7,9]=>[9,7,5,3,1,2,6,4,10,8]
[8,10,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,10,8]
[6,5,10,9,8,4,3,2,1,7]=>[7,1,2,3,4,8,9,10,5,6]
[9,6,10,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,10,6,9]
[5,4,3,10,9,8,7,2,1,6]=>[6,1,2,7,8,9,10,3,4,5]
[9,5,4,10,8,7,3,2,1,6]=>[6,1,2,3,7,8,10,4,5,9]
[8,9,5,10,7,4,3,2,1,6]=>[6,1,2,3,4,7,10,5,9,8]
[9,4,3,2,10,8,7,6,1,5]=>[5,1,6,7,8,10,2,3,4,9]
[4,8,7,3,10,9,6,2,1,5]=>[5,1,2,6,9,10,3,7,8,4]
[8,9,4,3,10,7,6,2,1,5]=>[5,1,2,6,7,10,3,4,9,8]
[7,4,9,6,10,8,3,2,1,5]=>[5,1,2,3,8,10,6,9,4,7]
[3,8,7,2,1,10,9,6,5,4]=>[4,5,6,9,10,1,2,7,8,3]
[8,9,3,2,1,10,7,6,5,4]=>[4,5,6,7,10,1,2,3,9,8]
[3,2,7,6,5,10,9,8,1,4]=>[4,1,8,9,10,5,6,7,2,3]
[7,8,9,3,2,10,6,5,1,4]=>[4,1,5,6,10,2,3,9,8,7]
[3,6,5,8,7,10,9,2,1,4]=>[4,1,2,9,10,7,8,5,6,3]
[6,7,8,9,3,10,5,2,1,4]=>[4,1,2,5,10,3,9,8,7,6]
[6,2,1,9,5,4,10,8,7,3]=>[3,7,8,10,4,5,9,1,2,6]
[6,8,2,9,5,1,10,7,4,3]=>[3,4,7,10,1,5,9,2,8,6]
[6,7,8,9,2,1,10,5,4,3]=>[3,4,5,10,1,2,9,8,7,6]
[5,7,8,2,9,4,10,6,1,3]=>[3,1,6,10,4,9,2,8,7,5]
[5,6,7,8,9,2,10,4,1,3]=>[3,1,4,10,2,9,8,7,6,5]
[4,6,1,8,3,9,5,10,7,2]=>[2,7,10,5,9,3,8,1,6,4]
[4,6,7,8,1,9,3,10,5,2]=>[2,5,10,3,9,1,8,7,6,4]
[4,5,6,7,8,9,1,10,3,2]=>[2,3,10,1,9,8,7,6,5,4]
[1,3,2,10,7,5,6,4,8,9]=>[9,8,4,6,5,7,10,2,3,1]
[1,6,4,3,2,5,10,7,8,9]=>[9,8,7,10,5,2,3,4,6,1]
[1,7,4,3,10,2,6,5,8,9]=>[9,8,5,6,2,10,3,4,7,1]
[1,10,7,5,4,3,6,2,8,9]=>[9,8,2,6,3,4,5,7,10,1]
[1,8,4,3,10,5,2,7,6,9]=>[9,6,7,2,5,10,3,4,8,1]
[1,10,8,5,4,2,3,7,6,9]=>[9,6,7,3,2,4,5,8,10,1]
[3,2,1,6,4,5,10,7,8,9]=>[9,8,7,10,5,4,6,1,2,3]
[3,2,1,10,7,5,6,4,8,9]=>[9,8,4,6,5,7,10,1,2,3]
[4,2,6,1,3,5,10,7,8,9]=>[9,8,7,10,5,3,1,6,2,4]
[4,2,7,1,10,3,6,5,8,9]=>[9,8,5,6,3,10,1,7,2,4]
[5,2,10,7,1,4,6,3,8,9]=>[9,8,3,6,4,1,7,10,2,5]
[4,2,8,1,10,5,3,7,6,9]=>[9,6,7,3,5,10,1,8,2,4]
[5,2,10,8,1,3,4,7,6,9]=>[9,6,7,4,3,1,8,10,2,5]
[6,4,3,2,1,5,10,7,8,9]=>[9,8,7,10,5,1,2,3,4,6]
[7,4,3,2,10,1,6,5,8,9]=>[9,8,5,6,1,10,2,3,4,7]
[7,5,3,10,2,1,6,4,8,9]=>[9,8,4,6,1,2,10,3,5,7]
[10,7,5,4,3,2,6,1,8,9]=>[9,8,1,6,2,3,4,5,7,10]
[8,4,3,2,10,5,1,7,6,9]=>[9,6,7,1,5,10,2,3,4,8]
[8,5,3,10,2,4,1,7,6,9]=>[9,6,7,1,4,2,10,3,5,8]
[10,8,5,4,3,1,2,7,6,9]=>[9,6,7,2,1,3,4,5,8,10]
[5,2,6,3,1,4,10,7,8,9]=>[9,8,7,10,4,1,3,6,2,5]
[5,2,7,3,1,10,4,6,8,9]=>[9,8,6,4,10,1,3,7,2,5]
[6,2,10,7,4,1,5,3,8,9]=>[9,8,3,5,1,4,7,10,2,6]
[5,2,8,3,1,10,6,4,7,9]=>[9,7,4,6,10,1,3,8,2,5]
[6,2,10,8,4,1,3,5,7,9]=>[9,7,5,3,1,4,8,10,2,6]
[6,5,3,1,2,4,10,7,8,9]=>[9,8,7,10,4,2,1,3,5,6]
[7,5,3,1,2,10,4,6,8,9]=>[9,8,6,4,10,2,1,3,5,7]
[7,6,3,10,1,2,5,4,8,9]=>[9,8,4,5,2,1,10,3,6,7]
[10,7,6,4,2,3,5,1,8,9]=>[9,8,1,5,3,2,4,6,7,10]
[8,5,3,1,2,10,6,4,7,9]=>[9,7,4,6,10,2,1,3,5,8]
[8,6,3,10,1,2,4,5,7,9]=>[9,7,5,4,2,1,10,3,6,8]
[8,7,3,10,4,1,2,6,5,9]=>[9,5,6,2,1,4,10,3,7,8]
[10,8,7,4,1,2,3,6,5,9]=>[9,5,6,3,2,1,4,7,8,10]
[5,2,9,3,1,10,6,7,4,8]=>[8,4,7,6,10,1,3,9,2,5]
[6,2,10,9,4,1,3,7,5,8]=>[8,5,7,3,1,4,9,10,2,6]
[9,5,3,1,2,10,6,7,4,8]=>[8,4,7,6,10,2,1,3,5,9]
[9,6,3,10,1,2,4,7,5,8]=>[8,5,7,4,2,1,10,3,6,9]
[10,9,6,4,2,3,1,7,5,8]=>[8,5,7,1,3,2,4,6,9,10]
[9,7,3,10,4,1,2,5,6,8]=>[8,6,5,2,1,4,10,3,7,9]
[6,1,2,7,8,3,4,9,10,5]=>[5,10,9,4,3,8,7,2,1,6]
[6,1,2,7,8,9,3,4,10,5]=>[5,10,4,3,9,8,7,2,1,6]
[6,7,1,2,8,3,4,9,10,5]=>[5,10,9,4,3,8,2,1,7,6]
[1,6,2,7,8,3,4,9,10,5]=>[5,10,9,4,3,8,7,2,6,1]
[1,6,7,2,8,3,4,9,10,5]=>[5,10,9,4,3,8,2,7,6,1]
[1,6,7,8,2,9,3,4,10,5]=>[5,10,4,3,9,2,8,7,6,1]
[6,1,7,2,8,3,4,9,10,5]=>[5,10,9,4,3,8,2,7,1,6]
[1,6,2,3,7,8,4,9,10,5]=>[5,10,9,4,8,7,3,2,6,1]
[1,6,7,2,3,8,4,9,10,5]=>[5,10,9,4,8,3,2,7,6,1]
[1,6,7,2,3,8,9,4,10,5]=>[5,10,4,9,8,3,2,7,6,1]
[1,6,7,8,2,3,9,4,10,5]=>[5,10,4,9,3,2,8,7,6,1]
[6,1,7,2,3,8,4,9,10,5]=>[5,10,9,4,8,3,2,7,1,6]
[6,1,7,2,3,8,9,4,10,5]=>[5,10,4,9,8,3,2,7,1,6]
[8,6,9,7,5,4,3,2,1,10]=>[10,1,2,3,4,5,7,9,6,8]
[9,7,6,8,5,4,3,2,1,10]=>[10,1,2,3,4,5,8,6,7,9]
[8,10,5,7,6,4,3,2,1,9]=>[9,1,2,3,4,6,7,5,10,8]
[5,8,9,7,6,4,1,10,2,3]=>[3,2,10,1,4,6,7,9,8,5]
[1,8,10,6,7,5,4,3,2,9]=>[9,2,3,4,5,7,6,10,8,1]
[9,5,7,8,6,4,3,1,10,2]=>[2,10,1,3,4,6,8,7,5,9]
[5,6,7,8,10,1,3,4,9,2]=>[2,9,4,3,1,10,8,7,6,5]
[5,6,7,8,10,2,3,4,9,1]=>[1,9,4,3,2,10,8,7,6,5]
[5,6,7,10,1,2,3,4,9,8]=>[8,9,4,3,2,1,10,7,6,5]
[10,2,8,4,6,5,7,3,9,1]=>[1,9,3,7,5,6,4,8,2,10]
[10,2,9,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,9,2,10]
[10,2,8,4,7,6,5,3,9,1]=>[1,9,3,5,6,7,4,8,2,10]
[10,2,9,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,9,2,10]
[10,2,9,4,8,6,7,5,3,1]=>[1,3,5,7,6,8,4,9,2,10]
[10,2,8,6,5,4,7,3,9,1]=>[1,9,3,7,4,5,6,8,2,10]
[10,2,9,6,5,4,7,8,3,1]=>[1,3,8,7,4,5,6,9,2,10]
[10,2,9,7,5,6,4,8,3,1]=>[1,3,8,4,6,5,7,9,2,10]
[10,2,8,7,6,5,4,3,9,1]=>[1,9,3,4,5,6,7,8,2,10]
[10,2,9,8,6,5,7,4,3,1]=>[1,3,4,7,5,6,8,9,2,10]
[10,8,3,4,6,5,7,2,9,1]=>[1,9,2,7,5,6,4,3,8,10]
[10,9,3,4,6,5,7,8,2,1]=>[1,2,8,7,5,6,4,3,9,10]
[10,8,3,4,7,6,5,2,9,1]=>[1,9,2,5,6,7,4,3,8,10]
[10,9,3,4,7,6,5,8,2,1]=>[1,2,8,5,6,7,4,3,9,10]
[10,9,3,4,8,6,7,5,2,1]=>[1,2,5,7,6,8,4,3,9,10]
[10,8,3,6,5,4,7,2,9,1]=>[1,9,2,7,4,5,6,3,8,10]
[10,9,3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3,9,10]
[10,8,3,7,5,6,4,2,9,1]=>[1,9,2,4,6,5,7,3,8,10]
[10,9,3,7,5,6,4,8,2,1]=>[1,2,8,4,6,5,7,3,9,10]
[10,8,6,4,5,3,7,2,9,1]=>[1,9,2,7,3,5,4,6,8,10]
[10,9,6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6,9,10]
[10,8,7,4,6,5,3,2,9,1]=>[1,9,2,3,5,6,4,7,8,10]
[10,9,8,4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4,8,9,10]
[6,7,8,5,10,1,2,3,9,4]=>[4,9,3,2,1,10,5,8,7,6]
[6,7,4,9,10,1,2,8,3,5]=>[5,3,8,2,1,10,9,4,7,6]
[6,7,9,5,10,1,2,8,3,4]=>[4,3,8,2,1,10,5,9,7,6]
[6,7,4,5,10,1,2,8,9,3]=>[3,9,8,2,1,10,5,4,7,6]
[6,3,8,9,10,1,7,2,4,5]=>[5,4,2,7,1,10,9,8,3,6]
[6,3,8,5,10,1,7,2,9,4]=>[4,9,2,7,1,10,5,8,3,6]
[6,8,4,9,10,1,7,2,3,5]=>[5,3,2,7,1,10,9,4,8,6]
[6,8,9,5,10,1,7,2,3,4]=>[4,3,2,7,1,10,5,9,8,6]
[6,8,4,5,10,1,7,2,9,3]=>[3,9,2,7,1,10,5,4,8,6]
[6,3,4,9,10,1,7,8,2,5]=>[5,2,8,7,1,10,9,4,3,6]
[6,3,9,5,10,1,7,8,2,4]=>[4,2,8,7,1,10,5,9,3,6]
[6,9,4,5,10,1,7,8,2,3]=>[3,2,8,7,1,10,5,4,9,6]
[6,3,4,5,10,1,7,8,9,2]=>[2,9,8,7,1,10,5,4,3,6]
[2,7,8,9,10,6,1,3,4,5]=>[5,4,3,1,6,10,9,8,7,2]
[2,7,8,5,10,6,1,3,9,4]=>[4,9,3,1,6,10,5,8,7,2]
[2,7,4,9,10,6,1,8,3,5]=>[5,3,8,1,6,10,9,4,7,2]
[2,7,9,5,10,6,1,8,3,4]=>[4,3,8,1,6,10,5,9,7,2]
[2,7,4,5,10,6,1,8,9,3]=>[3,9,8,1,6,10,5,4,7,2]
[7,3,8,9,10,6,1,2,4,5]=>[5,4,2,1,6,10,9,8,3,7]
[7,3,8,5,10,6,1,2,9,4]=>[4,9,2,1,6,10,5,8,3,7]
[7,8,4,9,10,6,1,2,3,5]=>[5,3,2,1,6,10,9,4,8,7]
[7,8,9,5,10,6,1,2,3,4]=>[4,3,2,1,6,10,5,9,8,7]
[7,8,4,5,10,6,1,2,9,3]=>[3,9,2,1,6,10,5,4,8,7]
[7,3,4,9,10,6,1,8,2,5]=>[5,2,8,1,6,10,9,4,3,7]
[7,3,9,5,10,6,1,8,2,4]=>[4,2,8,1,6,10,5,9,3,7]
[7,9,4,5,10,6,1,8,2,3]=>[3,2,8,1,6,10,5,4,9,7]
[7,3,4,5,10,6,1,8,9,2]=>[2,9,8,1,6,10,5,4,3,7]
[2,3,8,9,10,6,7,1,4,5]=>[5,4,1,7,6,10,9,8,3,2]
[2,3,8,5,10,6,7,1,9,4]=>[4,9,1,7,6,10,5,8,3,2]
[2,8,4,9,10,6,7,1,3,5]=>[5,3,1,7,6,10,9,4,8,2]
[2,8,9,5,10,6,7,1,3,4]=>[4,3,1,7,6,10,5,9,8,2]
[2,8,4,5,10,6,7,1,9,3]=>[3,9,1,7,6,10,5,4,8,2]
[8,3,4,9,10,6,7,1,2,5]=>[5,2,1,7,6,10,9,4,3,8]
[8,3,9,5,10,6,7,1,2,4]=>[4,2,1,7,6,10,5,9,3,8]
[8,9,4,5,10,6,7,1,2,3]=>[3,2,1,7,6,10,5,4,9,8]
[8,3,4,5,10,6,7,1,9,2]=>[2,9,1,7,6,10,5,4,3,8]
[2,3,4,9,10,6,7,8,1,5]=>[5,1,8,7,6,10,9,4,3,2]
[2,3,9,5,10,6,7,8,1,4]=>[4,1,8,7,6,10,5,9,3,2]
[2,9,4,5,10,6,7,8,1,3]=>[3,1,8,7,6,10,5,4,9,2]
[9,3,4,5,10,6,7,8,1,2]=>[2,1,8,7,6,10,5,4,3,9]
[7,9,10,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,10,9,7]
[4,6,9,1,5,8,10,2,3,7]=>[7,3,2,10,8,5,1,9,6,4]
[6,4,7,9,5,8,10,1,2,3]=>[3,2,1,10,8,5,9,7,4,6]
[8,7,6,10,5,9,1,2,3,4]=>[4,3,2,1,9,5,10,6,7,8]
[5,4,9,1,2,8,10,3,6,7]=>[7,6,3,10,8,2,1,9,4,5]
[9,10,4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4,10,9]
[8,5,4,9,1,7,10,2,3,6]=>[6,3,2,10,7,1,9,4,5,8]
[7,5,10,4,8,6,9,1,2,3]=>[3,2,1,9,6,8,4,10,5,7]
[4,10,3,8,1,5,7,9,2,6]=>[6,2,9,7,5,1,8,3,10,4]
[10,9,4,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,4,9,10]
[3,6,1,4,9,2,7,10,5,8]=>[8,5,10,7,2,9,4,1,6,3]
[10,9,8,4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4,8,9,10]
[4,10,3,6,5,8,7,9,1,2]=>[2,1,9,7,8,5,6,3,10,4]
[10,9,8,4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4,8,9,10]
[10,3,1,2,6,4,5,9,7,8]=>[8,7,9,5,4,6,2,1,3,10]
[2,6,3,9,5,7,4,8,10,1]=>[1,10,8,4,7,5,9,3,6,2]
[10,9,3,1,6,2,5,8,4,7]=>[7,4,8,5,2,6,1,3,9,10]
[10,9,3,7,6,4,5,8,1,2]=>[2,1,8,5,4,6,7,3,9,10]
[10,9,3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3,9,10]
[10,9,3,7,5,6,2,8,1,4]=>[4,1,8,2,6,5,7,3,9,10]
[10,2,4,3,6,5,8,7,9,1]=>[1,9,7,8,5,6,3,4,2,10]
[10,2,8,4,5,6,7,3,9,1]=>[1,9,3,7,6,5,4,8,2,10]
[3,6,5,2,4,7,8,9,10,1]=>[1,10,9,8,7,4,2,5,6,3]
[4,7,2,6,3,5,8,9,10,1]=>[1,10,9,8,5,3,6,2,7,4]
[3,4,5,10,7,2,8,9,6,1]=>[1,6,9,8,2,7,10,5,4,3]
[2,5,4,9,8,7,3,6,10,1]=>[1,10,6,3,7,8,9,4,5,2]
[6,9,2,3,4,8,5,7,10,1]=>[1,10,7,5,8,4,3,2,9,6]
[6,7,2,3,4,9,5,1,10,8]=>[8,10,1,5,9,4,3,2,7,6]
[5,10,7,3,9,4,1,6,2,8]=>[8,2,6,1,4,9,3,7,10,5]
[7,10,2,3,4,5,9,6,8,1]=>[1,8,6,9,5,4,3,2,10,7]
[10,8,4,5,3,1,2,7,6,9]=>[9,6,7,2,1,3,5,4,8,10]
[10,7,8,4,1,2,3,6,5,9]=>[9,5,6,3,2,1,4,8,7,10]
[9,10,4,3,1,2,7,5,6,8]=>[8,6,5,7,2,1,3,4,10,9]
[9,7,4,3,1,2,6,5,8,10]=>[10,8,5,6,2,1,3,4,7,9]
[8,9,3,1,2,6,4,5,7,10]=>[10,7,5,4,6,2,1,3,9,8]
[10,6,3,1,2,5,4,8,7,9]=>[9,7,8,4,5,2,1,3,6,10]
[8,6,3,1,2,5,4,7,9,10]=>[10,9,7,4,5,2,1,3,6,8]
[9,8,7,6,5,2,1,3,4,10]=>[10,4,3,1,2,5,6,7,8,9]
[9,8,7,4,3,2,1,5,6,10]=>[10,6,5,1,2,3,4,7,8,9]
[9,8,5,4,3,2,1,6,7,10]=>[10,7,6,1,2,3,4,5,8,9]
[9,6,5,4,3,2,1,7,8,10]=>[10,8,7,1,2,3,4,5,6,9]
[7,5,3,9,2,10,8,6,4,1]=>[1,4,6,8,10,2,9,3,5,7]
[7,5,9,4,2,10,8,6,3,1]=>[1,3,6,8,10,2,4,9,5,7]
[7,9,6,4,2,10,8,5,3,1]=>[1,3,5,8,10,2,4,6,9,7]
[9,7,5,3,1,2,4,8,6,10]=>[10,6,8,4,2,1,3,5,7,9]
[1,10,8,6,4,2,3,5,9,7]=>[7,9,5,3,2,4,6,8,10,1]
[7,5,4,3,2,1,10,8,6,9]=>[9,6,8,10,1,2,3,4,5,7]
[6,5,4,3,2,1,9,7,10,8]=>[8,10,7,9,1,2,3,4,5,6]
[7,5,3,2,1,10,8,6,4,9]=>[9,4,6,8,10,1,2,3,5,7]
[5,4,3,2,1,9,6,10,7,8]=>[8,7,10,6,9,1,2,3,4,5]
[6,4,2,1,9,7,5,3,10,8]=>[8,10,3,5,7,9,1,2,4,6]
[5,3,2,1,9,6,4,10,7,8]=>[8,7,10,4,6,9,1,2,3,5]
[5,3,2,1,8,6,4,9,10,7]=>[7,10,9,4,6,8,1,2,3,5]
[4,3,2,1,8,5,9,6,10,7]=>[7,10,6,9,5,8,1,2,3,4]
[4,3,2,1,7,5,8,9,10,6]=>[6,10,9,8,5,7,1,2,3,4]
[5,3,1,9,6,4,2,10,7,8]=>[8,7,10,2,4,6,9,1,3,5]
[5,3,1,8,6,4,2,9,10,7]=>[7,10,9,2,4,6,8,1,3,5]
[5,2,1,9,6,3,10,7,4,8]=>[8,4,7,10,3,6,9,1,2,5]
[4,2,1,8,5,3,9,6,10,7]=>[7,10,6,9,3,5,8,1,2,4]
[4,2,1,7,5,3,8,9,10,6]=>[6,10,9,8,3,5,7,1,2,4]
[3,2,1,8,4,9,5,10,6,7]=>[7,6,10,5,9,4,8,1,2,3]
[3,2,1,6,4,7,8,9,10,5]=>[5,10,9,8,7,4,6,1,2,3]
[3,1,8,4,2,9,5,10,6,7]=>[7,6,10,5,9,2,4,8,1,3]
[3,1,7,4,2,8,5,9,10,6]=>[6,10,9,5,8,2,4,7,1,3]
[3,1,6,4,2,7,8,9,10,5]=>[5,10,9,8,7,2,4,6,1,3]
[2,1,6,3,7,4,8,9,10,5]=>[5,10,9,8,4,7,3,6,1,2]
[2,1,5,3,6,7,8,9,10,4]=>[4,10,9,8,7,6,3,5,1,2]
[1,5,2,6,3,7,8,9,10,4]=>[4,10,9,8,7,3,6,2,5,1]
[10,9,8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8,9,10]
[2,3,4,6,1,5,7,8,10,9]=>[9,10,8,7,5,1,6,4,3,2]
[10,9,7,1,3,2,8,4,5,6]=>[6,5,4,8,2,3,1,7,9,10]
[10,9,8,1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1,8,9,10]
[9,8,7,1,3,2,6,4,10,5]=>[5,10,4,6,2,3,1,7,8,9]
[4,5,9,8,7,1,6,3,10,2]=>[2,10,3,6,1,7,8,9,5,4]
[10,9,8,7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7,8,9,10]
[10,9,7,3,1,2,8,4,5,6]=>[6,5,4,8,2,1,3,7,9,10]
[10,9,8,7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7,8,9,10]
[10,9,8,3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3,8,9,10]
[10,8,7,3,1,2,4,9,6,5]=>[5,6,9,4,2,1,3,7,8,10]
[4,5,10,9,8,7,3,1,6,2]=>[2,6,1,3,7,8,9,10,5,4]
[4,5,10,8,7,3,1,9,6,2]=>[2,6,9,1,3,7,8,10,5,4]
[10,9,8,7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7,8,9,10]
[10,9,8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8,9,10]
[10,9,7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7,9,10]
[9,8,7,3,1,6,2,4,5,10]=>[10,5,4,2,6,1,3,7,8,9]
[4,5,10,9,8,7,6,3,1,2]=>[2,1,3,6,7,8,9,10,5,4]
[4,5,10,9,7,6,8,3,1,2]=>[2,1,3,8,6,7,9,10,5,4]
[4,5,9,8,7,6,3,1,2,10]=>[10,2,1,3,6,7,8,9,5,4]
[10,9,8,7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7,8,9,10]
[10,9,8,3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3,8,9,10]
[10,8,7,3,1,2,5,9,6,4]=>[4,6,9,5,2,1,3,7,8,10]
[4,10,9,8,7,3,1,6,5,2]=>[2,5,6,1,3,7,8,9,10,4]
[4,10,8,7,3,1,5,9,6,2]=>[2,6,9,5,1,3,7,8,10,4]
[10,9,8,7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7,8,9,10]
[10,9,8,3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3,8,9,10]
[10,9,7,3,1,6,8,2,5,4]=>[4,5,2,8,6,1,3,7,9,10]
[9,8,7,3,1,6,2,5,4,10]=>[10,4,5,2,6,1,3,7,8,9]
[4,10,9,7,3,6,8,1,5,2]=>[2,5,1,8,6,3,7,9,10,4]
[4,9,8,7,3,6,1,5,2,10]=>[10,2,5,1,6,3,7,8,9,4]
[4,10,9,3,1,7,8,6,2,5]=>[5,2,6,8,7,1,3,9,10,4]
[4,9,8,3,1,7,6,2,5,10]=>[10,5,2,6,7,1,3,8,9,4]
[10,4,9,8,7,3,1,6,5,2]=>[2,5,6,1,3,7,8,9,4,10]
[10,4,8,7,3,1,5,9,6,2]=>[2,6,9,5,1,3,7,8,4,10]
[10,4,9,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,9,4,10]
[10,4,9,7,3,6,8,1,5,2]=>[2,5,1,8,6,3,7,9,4,10]
[9,4,8,7,3,6,1,5,2,10]=>[10,2,5,1,6,3,7,8,4,9]
[10,4,9,3,1,7,8,6,2,5]=>[5,2,6,8,7,1,3,9,4,10]
[4,5,6,7,8,2,3,9,10,1]=>[1,10,9,3,2,8,7,6,5,4]
[5,6,7,8,9,2,3,10,1,4]=>[4,1,10,3,2,9,8,7,6,5]
[4,5,6,7,8,9,2,1,3,10]=>[10,3,1,2,9,8,7,6,5,4]
[4,5,6,7,8,2,3,1,9,10]=>[10,9,1,3,2,8,7,6,5,4]
[4,5,6,7,8,2,1,3,9,10]=>[10,9,3,1,2,8,7,6,5,4]
[4,5,6,7,2,8,9,1,3,10]=>[10,3,1,9,8,2,7,6,5,4]
[4,5,6,7,2,8,1,3,9,10]=>[10,9,3,1,8,2,7,6,5,4]
[4,5,6,2,7,8,9,1,3,10]=>[10,3,1,9,8,7,2,6,5,4]
[4,5,6,2,7,8,1,3,9,10]=>[10,9,3,1,8,7,2,6,5,4]
[7,6,10,5,2,8,4,9,3,1]=>[1,3,9,4,8,2,5,10,6,7]
[9,6,3,7,5,8,4,2,10,1]=>[1,10,2,4,8,5,7,3,6,9]
[10,6,2,7,5,8,4,9,3,1]=>[1,3,9,4,8,5,7,2,6,10]
[10,7,4,8,6,9,5,3,2,1]=>[1,2,3,5,9,6,8,4,7,10]
[10,7,3,9,6,5,8,4,2,1]=>[1,2,4,8,5,6,9,3,7,10]
[10,7,6,5,2,8,4,9,3,1]=>[1,3,9,4,8,2,5,6,7,10]
[10,8,6,2,7,5,4,9,3,1]=>[1,3,9,4,5,7,2,6,8,10]
[10,9,6,2,7,4,8,5,3,1]=>[1,3,5,8,4,7,2,6,9,10]
[5,8,10,1,4,7,9,2,3,6]=>[6,3,2,9,7,4,1,10,8,5]
[5,8,10,2,4,7,9,1,3,6]=>[6,3,1,9,7,4,2,10,8,5]
[4,8,10,1,3,7,9,2,5,6]=>[6,5,2,9,7,3,1,10,8,4]
[4,8,10,2,3,7,9,1,5,6]=>[6,5,1,9,7,3,2,10,8,4]
[3,8,10,1,4,7,9,2,5,6]=>[6,5,2,9,7,4,1,10,8,3]
[5,8,9,1,4,6,10,2,3,7]=>[7,3,2,10,6,4,1,9,8,5]
[5,8,9,2,4,6,10,1,3,7]=>[7,3,1,10,6,4,2,9,8,5]
[4,8,9,1,3,6,10,2,5,7]=>[7,5,2,10,6,3,1,9,8,4]
[4,8,9,2,3,6,10,1,5,7]=>[7,5,1,10,6,3,2,9,8,4]
[3,8,9,1,4,6,10,2,5,7]=>[7,5,2,10,6,4,1,9,8,3]
[4,5,9,1,3,8,10,2,6,7]=>[7,6,2,10,8,3,1,9,5,4]
[4,5,9,2,3,8,10,1,6,7]=>[7,6,1,10,8,3,2,9,5,4]
[3,5,9,1,4,8,10,2,6,7]=>[7,6,2,10,8,4,1,9,5,3]
[3,4,9,1,2,8,10,5,6,7]=>[7,6,5,10,8,2,1,9,4,3]
[5,9,10,1,4,7,8,2,3,6]=>[6,3,2,8,7,4,1,10,9,5]
[5,9,10,2,4,7,8,1,3,6]=>[6,3,1,8,7,4,2,10,9,5]
[4,9,10,1,3,7,8,2,5,6]=>[6,5,2,8,7,3,1,10,9,4]
[4,9,10,2,3,7,8,1,5,6]=>[6,5,1,8,7,3,2,10,9,4]
[3,9,10,1,4,7,8,2,5,6]=>[6,5,2,8,7,4,1,10,9,3]
[5,8,10,1,4,6,9,2,3,7]=>[7,3,2,9,6,4,1,10,8,5]
[5,8,10,2,4,6,9,1,3,7]=>[7,3,1,9,6,4,2,10,8,5]
[4,8,10,1,3,6,9,2,5,7]=>[7,5,2,9,6,3,1,10,8,4]
[4,8,10,2,3,6,9,1,5,7]=>[7,5,1,9,6,3,2,10,8,4]
[3,8,10,1,4,6,9,2,5,7]=>[7,5,2,9,6,4,1,10,8,3]
[4,5,10,1,3,8,9,2,6,7]=>[7,6,2,9,8,3,1,10,5,4]
[4,5,10,2,3,8,9,1,6,7]=>[7,6,1,9,8,3,2,10,5,4]
[3,5,10,1,4,8,9,2,6,7]=>[7,6,2,9,8,4,1,10,5,3]
[3,4,10,1,2,8,9,5,6,7]=>[7,6,5,9,8,2,1,10,4,3]
[5,7,9,1,4,6,8,10,2,3]=>[3,2,10,8,6,4,1,9,7,5]
[5,7,9,2,4,6,8,10,1,3]=>[3,1,10,8,6,4,2,9,7,5]
[4,7,9,1,3,6,8,10,2,5]=>[5,2,10,8,6,3,1,9,7,4]
[4,7,9,2,3,6,8,10,1,5]=>[5,1,10,8,6,3,2,9,7,4]
[3,7,9,1,4,6,8,10,2,5]=>[5,2,10,8,6,4,1,9,7,3]
[4,5,9,1,3,7,8,10,2,6]=>[6,2,10,8,7,3,1,9,5,4]
[4,5,9,2,3,7,8,10,1,6]=>[6,1,10,8,7,3,2,9,5,4]
[3,5,9,1,4,7,8,10,2,6]=>[6,2,10,8,7,4,1,9,5,3]
[3,4,9,1,2,7,8,10,5,6]=>[6,5,10,8,7,2,1,9,4,3]
[4,5,8,1,3,6,9,10,2,7]=>[7,2,10,9,6,3,1,8,5,4]
[4,5,8,2,3,6,9,10,1,7]=>[7,1,10,9,6,3,2,8,5,4]
[3,5,8,1,4,6,9,10,2,7]=>[7,2,10,9,6,4,1,8,5,3]
[3,4,8,1,2,6,9,10,5,7]=>[7,5,10,9,6,2,1,8,4,3]
[10,5,2,3,4,1,6,7,8,9]=>[9,8,7,6,1,4,3,2,5,10]
[6,10,2,3,4,5,1,7,8,9]=>[9,8,7,1,5,4,3,2,10,6]
[7,10,2,3,4,5,6,1,8,9]=>[9,8,1,6,5,4,3,2,10,7]
[3,10,2,4,1,5,6,7,8,9]=>[9,8,7,6,5,1,4,2,10,3]
[4,10,2,3,5,1,6,7,8,9]=>[9,8,7,6,1,5,3,2,10,4]
[10,5,2,3,4,6,1,7,8,9]=>[9,8,7,1,6,4,3,2,5,10]
[6,10,2,3,4,5,7,1,8,9]=>[9,8,1,7,5,4,3,2,10,6]
[7,10,2,3,4,5,6,8,1,9]=>[9,1,8,6,5,4,3,2,10,7]
[10,8,2,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,2,8,10]
[10,4,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,4,10]
[10,7,9,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,9,7,10]
[10,4,3,2,1,5,9,8,7,6]=>[6,7,8,9,5,1,2,3,4,10]
[10,5,9,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,9,5,10]
[10,4,9,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,9,4,10]
[1,2,3,4,5,8,10,6,7,9]=>[9,7,6,10,8,5,4,3,2,1]
[1,2,3,4,7,9,5,6,8,10]=>[10,8,6,5,9,7,4,3,2,1]
[1,2,3,6,8,10,4,5,7,9]=>[9,7,5,4,10,8,6,3,2,1]
[1,2,5,7,9,4,6,8,10,3]=>[3,10,8,6,4,9,7,5,2,1]
[3,5,4,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,4,5,3]
[3,4,6,5,2,7,8,9,10,1]=>[1,10,9,8,7,2,5,6,4,3]
[3,4,5,7,6,2,8,9,10,1]=>[1,10,9,8,2,6,7,5,4,3]
[3,4,5,6,8,7,2,9,10,1]=>[1,10,9,2,7,8,6,5,4,3]
[3,4,5,6,7,9,8,2,10,1]=>[1,10,2,8,9,7,6,5,4,3]
[5,2,4,3,6,7,8,9,10,1]=>[1,10,9,8,7,6,3,4,2,5]
[6,2,3,5,4,7,8,9,10,1]=>[1,10,9,8,7,4,5,3,2,6]
[7,2,3,4,6,5,8,9,10,1]=>[1,10,9,8,5,6,4,3,2,7]
[8,2,3,4,5,7,6,9,10,1]=>[1,10,9,6,7,5,4,3,2,8]
[9,2,3,4,5,6,8,7,10,1]=>[1,10,7,8,6,5,4,3,2,9]
[3,4,5,6,7,2,9,10,1,8]=>[8,1,10,9,2,7,6,5,4,3]
[3,4,5,6,2,8,9,10,7,1]=>[1,7,10,9,8,2,6,5,4,3]
[3,4,5,2,7,8,9,10,1,6]=>[6,1,10,9,8,7,2,5,4,3]
[3,4,2,6,7,8,9,10,1,5]=>[5,1,10,9,8,7,6,2,4,3]
[3,2,5,6,7,8,9,10,4,1]=>[1,4,10,9,8,7,6,5,2,3]
[3,4,7,5,2,6,1,8,9,10]=>[10,9,8,1,6,2,5,7,4,3]
[3,4,5,6,9,2,7,8,1,10]=>[10,1,8,7,2,9,6,5,4,3]
[4,5,2,8,6,3,7,1,9,10]=>[10,9,1,7,3,6,8,2,5,4]
[2,5,4,6,10,8,7,3,9,1]=>[1,9,3,7,8,10,6,4,5,2]
[4,5,2,6,7,10,3,8,9,1]=>[1,9,8,3,10,7,6,2,5,4]
[5,6,2,3,9,7,4,8,1,10]=>[10,1,8,4,7,9,3,2,6,5]
[3,4,8,6,7,10,1,5,9,2]=>[2,9,5,1,10,7,6,8,4,3]
[4,7,6,10,3,8,9,5,2,1]=>[1,2,5,9,8,3,10,6,7,4]
[6,7,2,3,4,10,8,5,9,1]=>[1,9,5,8,10,4,3,2,7,6]
[1,3,10,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,10,3,1]
[2,1,9,3,4,5,6,8,10,7]=>[7,10,8,6,5,4,3,9,1,2]
[2,4,1,10,3,5,7,8,9,6]=>[6,9,8,7,5,3,10,1,4,2]
[2,3,4,5,7,1,6,8,10,9]=>[9,10,8,6,1,7,5,4,3,2]
[7,5,10,8,6,4,3,2,1,9]=>[9,1,2,3,4,6,8,10,5,7]
[9,6,10,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,10,6,9]
[7,5,3,10,8,6,4,2,1,9]=>[9,1,2,4,6,8,10,3,5,7]
[9,6,4,10,7,5,3,2,1,8]=>[8,1,2,3,5,7,10,4,6,9]
[5,9,6,10,7,4,3,2,1,8]=>[8,1,2,3,4,7,10,6,9,5]
[8,9,5,10,6,4,3,2,1,7]=>[7,1,2,3,4,6,10,5,9,8]
[5,9,6,3,10,7,4,2,1,8]=>[8,1,2,4,7,10,3,6,9,5]
[8,9,5,3,10,6,4,2,1,7]=>[7,1,2,4,6,10,3,5,9,8]
[8,4,9,5,10,6,3,2,1,7]=>[7,1,2,3,6,10,5,9,4,8]
[7,8,9,4,10,5,3,2,1,6]=>[6,1,2,3,5,10,4,9,8,7]
[5,9,6,3,1,10,7,4,2,8]=>[8,2,4,7,10,1,3,6,9,5]
[8,9,5,3,1,10,6,4,2,7]=>[7,2,4,6,10,1,3,5,9,8]
[5,2,9,6,3,10,7,4,1,8]=>[8,1,4,7,10,3,6,9,2,5]
[8,4,9,5,2,10,6,3,1,7]=>[7,1,3,6,10,2,5,9,4,8]
[7,8,9,4,2,10,5,3,1,6]=>[6,1,3,5,10,2,4,9,8,7]
[3,8,4,9,5,10,6,2,1,7]=>[7,1,2,6,10,5,9,4,8,3]
[7,8,3,9,4,10,5,2,1,6]=>[6,1,2,5,10,4,9,3,8,7]
[6,7,8,9,3,10,4,2,1,5]=>[5,1,2,4,10,3,9,8,7,6]
[8,4,1,9,5,2,10,6,3,7]=>[7,3,6,10,2,5,9,1,4,8]
[3,8,4,9,5,1,10,6,2,7]=>[7,2,6,10,1,5,9,4,8,3]
[7,8,3,9,4,1,10,5,2,6]=>[6,2,5,10,1,4,9,3,8,7]
[6,7,8,9,3,1,10,4,2,5]=>[5,2,4,10,1,3,9,8,7,6]
[5,6,7,8,1,9,2,10,3,4]=>[4,3,10,2,9,1,8,7,6,5]
[3,4,5,6,9,2,10,1,7,8]=>[8,7,1,10,2,9,6,5,4,3]
[3,4,5,8,2,9,10,1,7,6]=>[6,7,1,10,9,2,8,5,4,3]
[3,4,7,2,8,9,10,1,5,6]=>[6,5,1,10,9,8,2,7,4,3]
[5,2,6,7,8,9,10,1,4,3]=>[3,4,1,10,9,8,7,6,2,5]
[2,1,4,3,10,8,6,9,7,5]=>[5,7,9,6,8,10,3,4,1,2]
[2,1,10,8,9,6,4,7,5,3]=>[3,5,7,4,6,9,8,10,1,2]
[2,1,8,6,4,7,5,3,10,9]=>[9,10,3,5,7,4,6,8,1,2]
[2,1,10,8,6,9,7,4,5,3]=>[3,5,4,7,9,6,8,10,1,2]
[2,1,10,8,6,9,4,7,5,3]=>[3,5,7,4,9,6,8,10,1,2]
[2,1,10,8,6,4,9,7,5,3]=>[3,5,7,9,4,6,8,10,1,2]
[4,2,3,1,10,8,6,9,7,5]=>[5,7,9,6,8,10,1,3,2,4]
[8,6,7,4,2,5,3,1,10,9]=>[9,10,1,3,5,2,4,7,6,8]
[10,8,9,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,9,8,10]
[6,4,2,5,3,1,8,7,10,9]=>[9,10,7,8,1,3,5,2,4,6]
[6,4,2,5,3,1,10,8,9,7]=>[7,9,8,10,1,3,5,2,4,6]
[8,6,4,7,5,2,3,1,10,9]=>[9,10,1,3,2,5,7,4,6,8]
[10,8,6,9,7,4,2,5,3,1]=>[1,3,5,2,4,7,9,6,8,10]
[8,6,4,7,2,5,3,1,10,9]=>[9,10,1,3,5,2,7,4,6,8]
[8,6,4,2,7,5,3,1,10,9]=>[9,10,1,3,5,7,2,4,6,8]
[3,4,5,6,7,1,8,10,2,9]=>[9,2,10,8,1,7,6,5,4,3]
[4,5,6,7,1,2,8,10,3,9]=>[9,3,10,8,2,1,7,6,5,4]
[5,6,7,1,2,3,8,10,4,9]=>[9,4,10,8,3,2,1,7,6,5]
[6,7,1,2,3,4,8,10,5,9]=>[9,5,10,8,4,3,2,1,7,6]
[7,8,6,9,5,10,3,4,2,1]=>[1,2,4,3,10,5,9,6,8,7]
[6,7,8,9,5,10,3,4,2,1]=>[1,2,4,3,10,5,9,8,7,6]
[10,5,6,7,8,4,9,2,3,1]=>[1,3,2,9,4,8,7,6,5,10]
[5,6,4,9,1,8,2,7,3,10]=>[10,3,7,2,8,1,9,4,6,5]
[5,9,1,8,2,7,3,6,4,10]=>[10,4,6,3,7,2,8,1,9,5]
[5,4,9,1,8,2,7,3,6,10]=>[10,6,3,7,2,8,1,9,4,5]
[5,4,6,3,9,1,8,2,7,10]=>[10,7,2,8,1,9,3,6,4,5]
[5,6,4,9,1,7,3,10,8,2]=>[2,8,10,3,7,1,9,4,6,5]
[5,10,7,3,9,1,8,2,6,4]=>[4,6,2,8,1,9,3,7,10,5]
[10,6,4,9,1,8,2,7,3,5]=>[5,3,7,2,8,1,9,4,6,10]
[4,9,1,8,2,7,3,6,10,5]=>[5,10,6,3,7,2,8,1,9,4]
[10,4,5,3,6,9,1,8,2,7]=>[7,2,8,1,9,6,3,5,4,10]
[5,4,10,3,6,2,7,9,1,8]=>[8,1,9,7,2,6,3,10,4,5]
[5,4,6,3,9,10,2,7,1,8]=>[8,1,7,2,10,9,3,6,4,5]
[10,8,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,8,10]
[10,2,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,2,10]
[10,1,8,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,8,1,10]
[10,2,8,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,8,2,10]
[10,4,3,1,5,6,7,8,9,2]=>[2,9,8,7,6,5,1,3,4,10]
[10,5,3,4,1,6,7,8,9,2]=>[2,9,8,7,6,1,4,3,5,10]
[10,6,3,4,5,1,7,8,9,2]=>[2,9,8,7,1,5,4,3,6,10]
[10,7,3,4,5,6,1,8,9,2]=>[2,9,8,1,6,5,4,3,7,10]
[10,8,3,4,5,6,7,1,9,2]=>[2,9,1,7,6,5,4,3,8,10]
[6,7,1,3,2,5,8,9,10,4]=>[4,10,9,8,5,2,3,1,7,6]
[7,8,1,3,9,2,5,4,10,6]=>[6,10,4,5,2,9,3,1,8,7]
[7,1,8,2,4,3,6,9,10,5]=>[5,10,9,6,3,4,2,8,1,7]
[8,9,1,3,10,6,2,5,4,7]=>[7,4,5,2,6,10,3,1,9,8]
[8,9,10,1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1,10,9,8]
[8,1,9,2,4,10,3,6,5,7]=>[7,5,6,3,10,4,2,9,1,8]
[8,9,1,3,2,5,4,6,10,7]=>[7,10,6,4,5,2,3,1,9,8]
[8,1,2,9,3,5,4,7,10,6]=>[6,10,7,4,5,3,9,2,1,8]
[9,1,10,4,2,5,7,3,8,6]=>[6,8,3,7,5,2,4,10,1,9]
[9,10,1,3,2,5,7,4,6,8]=>[8,6,4,7,5,2,3,1,10,9]
[9,1,2,10,3,5,7,4,8,6]=>[6,8,4,7,5,3,10,2,1,9]
[9,1,10,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,10,1,9]
[9,1,2,3,10,4,6,5,8,7]=>[7,8,5,6,4,10,3,2,1,9]
[5,6,8,3,7,1,10,4,9,2]=>[2,9,4,10,1,7,3,8,6,5]
[5,8,3,6,7,1,10,4,9,2]=>[2,9,4,10,1,7,6,3,8,5]
[8,5,3,6,7,1,10,4,9,2]=>[2,9,4,10,1,7,6,3,5,8]
[8,5,3,6,9,1,7,4,10,2]=>[2,10,4,7,1,9,6,3,5,8]
[7,5,3,6,9,1,8,4,10,2]=>[2,10,4,8,1,9,6,3,5,7]
[7,3,6,5,9,1,8,4,10,2]=>[2,10,4,8,1,9,5,6,3,7]
[7,4,6,5,9,1,8,3,10,2]=>[2,10,3,8,1,9,5,6,4,7]
[5,6,7,3,9,1,8,4,10,2]=>[2,10,4,8,1,9,3,7,6,5]
[5,7,3,6,8,4,9,1,10,2]=>[2,10,1,9,4,8,6,3,7,5]
[5,7,3,6,9,1,8,4,10,2]=>[2,10,4,8,1,9,6,3,7,5]
[5,9,1,7,3,6,8,4,10,2]=>[2,10,4,8,6,3,7,1,9,5]
[6,7,3,8,5,4,9,1,10,2]=>[2,10,1,9,4,5,8,3,7,6]
[6,7,3,9,1,8,5,4,10,2]=>[2,10,4,5,8,1,9,3,7,6]
[7,3,6,8,5,4,9,1,10,2]=>[2,10,1,9,4,5,8,6,3,7]
[7,3,6,9,1,8,5,4,10,2]=>[2,10,4,5,8,1,9,6,3,7]
[9,1,7,3,6,8,5,4,10,2]=>[2,10,4,5,8,6,3,7,1,9]
[8,6,7,3,5,4,9,1,10,2]=>[2,10,1,9,4,5,3,7,6,8]
[9,1,8,6,7,3,5,4,10,2]=>[2,10,4,5,3,7,6,8,1,9]
[8,6,9,1,7,3,5,4,10,2]=>[2,10,4,5,3,7,1,9,6,8]
[9,1,6,8,7,3,5,4,10,2]=>[2,10,4,5,3,7,8,6,1,9]
[5,6,8,4,9,1,10,3,7,2]=>[2,7,3,10,1,9,4,8,6,5]
[5,6,9,1,8,4,10,3,7,2]=>[2,7,3,10,4,8,1,9,6,5]
[5,8,4,9,1,10,3,6,7,2]=>[2,7,6,3,10,1,9,4,8,5]
[5,9,1,8,4,10,3,6,7,2]=>[2,7,6,3,10,4,8,1,9,5]
[5,10,3,6,8,4,9,1,7,2]=>[2,7,1,9,4,8,6,3,10,5]
[6,8,5,4,9,1,10,3,7,2]=>[2,7,3,10,1,9,4,5,8,6]
[6,9,1,8,5,4,10,3,7,2]=>[2,7,3,10,4,5,8,1,9,6]
[8,5,4,9,1,10,3,6,7,2]=>[2,7,6,3,10,1,9,4,5,8]
[9,1,8,5,4,10,3,6,7,2]=>[2,7,6,3,10,4,5,8,1,9]
[10,3,6,8,5,4,9,1,7,2]=>[2,7,1,9,4,5,8,6,3,10]
[9,1,10,3,5,4,8,6,7,2]=>[2,7,6,8,4,5,3,10,1,9]
[10,3,5,4,9,1,8,6,7,2]=>[2,7,6,8,1,9,4,5,3,10]
[8,6,10,3,5,4,9,1,7,2]=>[2,7,1,9,4,5,3,10,6,8]
[10,3,5,4,9,1,6,8,7,2]=>[2,7,8,6,1,9,4,5,3,10]
[6,9,1,10,4,8,5,3,7,2]=>[2,7,3,5,8,4,10,1,9,6]
[6,10,4,9,1,8,5,3,7,2]=>[2,7,3,5,8,1,9,4,10,6]
[9,1,10,4,8,5,3,6,7,2]=>[2,7,6,3,5,8,4,10,1,9]
[10,4,9,1,8,5,3,6,7,2]=>[2,7,6,3,5,8,1,9,4,10]
[8,5,3,6,10,4,9,1,7,2]=>[2,7,1,9,4,10,6,3,5,8]
[5,3,9,1,10,4,8,6,7,2]=>[2,7,6,8,4,10,1,9,3,5]
[5,3,10,4,9,1,8,6,7,2]=>[2,7,6,8,1,9,4,10,3,5]
[5,3,8,6,10,4,9,1,7,2]=>[2,7,1,9,4,10,6,8,3,5]
[5,3,10,4,9,1,6,8,7,2]=>[2,7,8,6,1,9,4,10,3,5]
[9,1,10,5,3,4,8,6,7,2]=>[2,7,6,8,4,3,5,10,1,9]
[10,5,3,4,9,1,8,6,7,2]=>[2,7,6,8,1,9,4,3,5,10]
[8,6,10,5,3,4,9,1,7,2]=>[2,7,1,9,4,3,5,10,6,8]
[10,5,3,4,9,1,6,8,7,2]=>[2,7,8,6,1,9,4,3,5,10]
[4,6,3,7,9,1,2,5,8,10]=>[10,8,5,2,1,9,7,3,6,4]
[5,1,4,6,8,2,3,7,9,10]=>[10,9,7,3,2,8,6,4,1,5]
[5,3,7,4,8,10,1,2,6,9]=>[9,6,2,1,10,8,4,7,3,5]
[6,2,1,5,7,9,3,4,8,10]=>[10,8,4,3,9,7,5,1,2,6]
[5,1,7,10,4,6,9,2,3,8]=>[8,3,2,9,6,4,10,7,1,5]
[6,3,2,8,4,5,10,1,7,9]=>[9,7,1,10,5,4,8,2,3,6]
[7,3,2,1,6,8,10,4,5,9]=>[9,5,4,10,8,6,1,2,3,7]
[1,9,4,8,2,10,3,7,6,5]=>[5,6,7,3,10,2,8,4,9,1]
[1,9,4,5,8,2,10,3,7,6]=>[6,7,3,10,2,8,5,4,9,1]
[1,10,2,7,6,3,9,4,5,8]=>[8,5,4,9,3,6,7,2,10,1]
[1,10,2,8,3,9,4,5,7,6]=>[6,7,5,4,9,3,8,2,10,1]
[4,5,6,2,7,8,9,10,1,3]=>[3,1,10,9,8,7,2,6,5,4]
[2,1,4,3,9,7,10,5,6,8]=>[8,6,5,10,7,9,3,4,1,2]
[2,1,7,5,8,3,4,6,10,9]=>[9,10,6,4,3,8,5,7,1,2]
[2,1,9,5,7,10,3,4,6,8]=>[8,6,4,3,10,7,5,9,1,2]
[2,1,8,5,9,3,4,10,6,7]=>[7,6,10,4,3,9,5,8,1,2]
[2,1,9,3,6,7,10,4,5,8]=>[8,5,4,10,7,6,3,9,1,2]
[2,1,8,6,3,9,4,5,10,7]=>[7,10,5,4,9,3,6,8,1,2]
[3,1,4,2,9,7,10,5,6,8]=>[8,6,5,10,7,9,2,4,1,3]
[5,3,6,1,2,4,8,7,10,9]=>[9,10,7,8,4,2,1,6,3,5]
[7,3,5,8,1,2,4,6,10,9]=>[9,10,6,4,2,1,8,5,3,7]
[8,3,5,9,1,2,4,10,6,7]=>[7,6,10,4,2,1,9,5,3,8]
[6,3,7,1,2,8,4,5,10,9]=>[9,10,5,4,8,2,1,7,3,6]
[9,3,6,1,7,10,2,4,5,8]=>[8,5,4,2,10,7,1,6,3,9]
[8,3,6,9,1,10,2,4,5,7]=>[7,5,4,2,10,1,9,6,3,8]
[7,3,8,1,2,4,9,10,5,6]=>[6,5,10,9,4,2,1,8,3,7]
[7,1,4,5,8,2,3,6,10,9]=>[9,10,6,3,2,8,5,4,1,7]
[9,1,4,5,7,10,2,3,6,8]=>[8,6,3,2,10,7,5,4,1,9]
[8,1,4,5,9,2,3,10,6,7]=>[7,6,10,3,2,9,5,4,1,8]
[6,4,1,7,2,3,8,5,10,9]=>[9,10,5,8,3,2,7,1,4,6]
[9,4,1,6,7,2,10,3,5,8]=>[8,5,3,10,2,7,6,1,4,9]
[7,4,1,8,2,3,9,5,10,6]=>[6,10,5,9,3,2,8,1,4,7]
[9,1,2,5,6,7,10,3,4,8]=>[8,4,3,10,7,6,5,2,1,9]
[8,1,5,2,6,9,3,4,10,7]=>[7,10,4,3,9,6,2,5,1,8]
[9,8,1,3,4,5,6,7,10,2]=>[2,10,7,6,5,4,3,1,8,9]
[2,10,9,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,9,10,2]
[9,2,8,1,4,5,6,7,10,3]=>[3,10,7,6,5,4,1,8,2,9]
[9,7,1,3,4,5,6,8,10,2]=>[2,10,8,6,5,4,3,1,7,9]
[2,10,3,9,1,5,6,7,8,4]=>[4,8,7,6,5,1,9,3,10,2]
[2,10,8,1,4,5,6,7,9,3]=>[3,9,7,6,5,4,1,8,10,2]
[8,2,5,9,3,6,10,1,4,7]=>[7,4,1,10,6,3,9,5,2,8]
[7,3,8,4,10,1,5,9,2,6]=>[6,2,9,5,1,10,4,8,3,7]
[9,2,7,4,10,1,6,3,8,5]=>[5,8,3,6,1,10,4,7,2,9]
[8,3,10,1,6,4,9,2,7,5]=>[5,7,2,9,4,6,1,10,3,8]
[9,2,8,3,10,1,7,6,5,4]=>[4,5,6,7,1,10,3,8,2,9]
[5,6,10,1,7,3,9,2,8,4]=>[4,8,2,9,3,7,1,10,6,5]
[5,6,9,2,8,3,10,1,7,4]=>[4,7,1,10,3,8,2,9,6,5]
[9,4,5,6,7,2,10,1,8,3]=>[3,8,1,10,2,7,6,5,4,9]
[9,2,10,1,8,4,5,6,7,3]=>[3,7,6,5,4,8,1,10,2,9]
[7,4,5,6,9,2,10,1,8,3]=>[3,8,1,10,2,9,6,5,4,7]
[6,4,7,5,10,1,8,2,9,3]=>[3,9,2,8,1,10,5,7,4,6]
[6,4,7,5,9,2,10,1,8,3]=>[3,8,1,10,2,9,5,7,4,6]
[7,4,6,5,9,2,10,1,8,3]=>[3,8,1,10,2,9,5,6,4,7]
[5,6,7,3,8,4,10,1,9,2]=>[2,9,1,10,4,8,3,7,6,5]
[6,5,8,3,7,4,10,1,9,2]=>[2,9,1,10,4,7,3,8,5,6]
[5,6,10,4,8,1,9,3,7,2]=>[2,7,3,9,1,8,4,10,6,5]
[8,6,3,7,5,4,9,1,10,2]=>[2,10,1,9,4,5,7,3,6,8]
[9,3,7,5,4,8,1,10,6,2]=>[2,6,10,1,8,4,5,7,3,9]
[8,4,9,5,3,7,1,10,6,2]=>[2,6,10,1,7,3,5,9,4,8]
[8,4,5,7,3,6,9,1,10,2]=>[2,10,1,9,6,3,7,5,4,8]
[9,3,6,8,1,10,4,5,7,2]=>[2,7,5,4,10,1,8,6,3,9]
[4,6,3,7,5,8,9,1,10,2]=>[2,10,1,9,8,5,7,3,6,4]
[4,7,5,10,8,1,9,3,6,2]=>[2,6,3,9,1,8,10,5,7,4]
[9,5,7,1,10,8,4,3,6,2]=>[2,6,3,4,8,10,1,7,5,9]
[4,5,3,6,7,8,9,1,10,2]=>[2,10,1,9,8,7,6,3,5,4]
[4,6,7,10,8,1,9,3,5,2]=>[2,5,3,9,1,8,10,7,6,4]
[6,9,7,1,10,8,4,3,5,2]=>[2,5,3,4,8,10,1,7,9,6]
[4,3,10,8,6,1,9,7,5,2]=>[2,5,7,9,1,6,8,10,3,4]
[5,6,10,2,7,3,9,1,8,4]=>[4,8,1,9,3,7,2,10,6,5]
[5,6,7,2,8,1,9,3,10,4]=>[4,10,3,9,1,8,2,7,6,5]
[9,1,8,6,3,10,2,7,5,4]=>[4,5,7,2,10,3,6,8,1,9]
[8,1,9,3,10,6,2,7,5,4]=>[4,5,7,2,6,10,3,9,1,8]
[9,5,3,10,6,2,7,1,8,4]=>[4,8,1,7,2,6,10,3,5,9]
[9,1,8,4,5,7,3,10,2,6]=>[6,2,10,3,7,5,4,8,1,9]
[8,1,9,3,10,4,5,7,2,6]=>[6,2,7,5,4,10,3,9,1,8]
[4,7,5,10,2,6,3,9,1,8]=>[8,1,9,3,6,2,10,5,7,4]
[6,2,9,5,7,1,8,4,3,10]=>[10,3,4,8,1,7,5,9,2,6]
[4,6,7,10,2,5,3,9,1,8]=>[8,1,9,3,5,2,10,7,6,4]
[4,5,2,6,7,8,1,9,3,10]=>[10,3,9,1,8,7,6,2,5,4]
[5,2,6,9,7,1,8,4,3,10]=>[10,3,4,8,1,7,9,6,2,5]
[8,6,1,9,7,5,2,4,3,10]=>[10,3,4,2,5,7,9,1,6,8]
[8,4,9,1,7,3,5,10,2,6]=>[6,2,10,5,3,7,1,9,4,8]
[9,3,5,10,4,8,1,7,2,6]=>[6,2,7,1,8,4,10,5,3,9]
[9,1,7,5,10,2,6,3,4,8]=>[8,4,3,6,2,10,5,7,1,9]
[6,2,9,3,4,8,1,7,5,10]=>[10,5,7,1,8,4,3,9,2,6]
[3,6,2,7,1,8,4,9,5,10]=>[10,5,9,4,8,1,7,2,6,3]
[6,9,1,7,10,2,5,3,4,8]=>[8,4,3,5,2,10,7,1,9,6]
[5,2,6,9,3,4,8,1,7,10]=>[10,7,1,8,4,3,9,6,2,5]
[3,8,6,1,7,5,2,4,9,10]=>[10,9,4,2,5,7,1,6,8,3]
[4,3,10,2,5,7,9,1,6,8]=>[8,6,1,9,7,5,2,10,3,4]
[8,1,6,9,3,4,2,5,7,10]=>[10,7,5,2,4,3,9,6,1,8]
[3,8,4,2,5,7,1,6,9,10]=>[10,9,6,1,7,5,2,4,8,3]
[10,3,9,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,9,3,10]
[3,1,9,5,6,7,8,2,10,4]=>[4,10,2,8,7,6,5,9,1,3]
[10,3,4,9,6,7,8,1,2,5]=>[5,2,1,8,7,6,9,4,3,10]
[7,10,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,10,7]
[6,7,10,1,2,3,4,5,9,8]=>[8,9,5,4,3,2,1,10,7,6]
[4,5,6,7,10,1,2,3,9,8]=>[8,9,3,2,1,10,7,6,5,4]
[3,4,5,6,7,10,1,2,9,8]=>[8,9,2,1,10,7,6,5,4,3]
[10,9,1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1,9,10]
[7,5,10,1,2,3,4,9,6,8]=>[8,6,9,4,3,2,1,10,5,7]
[6,4,9,1,2,3,7,10,5,8]=>[8,5,10,7,3,2,1,9,4,6]
[5,3,6,7,10,1,2,9,4,8]=>[8,4,9,2,1,10,7,6,3,5]
[4,2,5,6,7,10,1,9,3,8]=>[8,3,9,1,10,7,6,5,2,4]
[3,1,4,5,6,9,7,10,2,8]=>[8,2,10,7,9,6,5,4,1,3]
[10,7,5,9,4,2,1,6,8,3]=>[3,8,6,1,2,4,9,5,7,10]
[10,8,5,3,7,2,4,6,1,9]=>[9,1,6,4,2,7,3,5,8,10]
[10,7,5,3,9,2,4,6,8,1]=>[1,8,6,4,2,9,3,5,7,10]
[10,9,8,5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5,8,9,10]
[10,6,9,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,9,6,10]
[10,7,5,9,4,3,2,6,8,1]=>[1,8,6,2,3,4,9,5,7,10]
[10,7,4,9,6,3,5,2,8,1]=>[1,8,2,5,3,6,9,4,7,10]
[10,6,4,9,8,3,5,7,2,1]=>[1,2,7,5,3,8,9,4,6,10]
[4,3,6,1,8,5,10,7,9,2]=>[2,9,7,10,5,8,1,6,3,4]
[4,6,5,3,8,1,10,7,9,2]=>[2,9,7,10,1,8,3,5,6,4]
[4,6,8,3,7,5,10,1,9,2]=>[2,9,1,10,5,7,3,8,6,4]
[9,7,4,3,2,5,1,6,8,10]=>[10,8,6,1,5,2,3,4,7,9]
[7,4,3,2,5,1,6,8,9,10]=>[10,9,8,6,1,5,2,3,4,7]
[7,4,3,5,2,6,8,9,10,1]=>[1,10,9,8,6,2,5,3,4,7]
[9,8,7,1,6,5,4,3,10,2]=>[2,10,3,4,5,6,1,7,8,9]
[9,8,7,6,5,1,4,10,3,2]=>[2,3,10,4,1,5,6,7,8,9]
[9,8,7,6,1,4,10,2,3,5]=>[5,3,2,10,4,1,6,7,8,9]
[9,8,7,1,5,10,3,2,4,6]=>[6,4,2,3,10,5,1,7,8,9]
[9,8,1,7,10,5,4,3,6,2]=>[2,6,3,4,5,10,7,1,8,9]
[9,1,7,10,5,4,3,2,6,8]=>[8,6,2,3,4,5,10,7,1,9]
[1,8,10,6,5,4,3,2,7,9]=>[9,7,2,3,4,5,6,10,8,1]
[8,4,5,6,7,10,1,9,3,2]=>[2,3,9,1,10,7,6,5,4,8]
[9,10,3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3,10,9]
[3,4,5,6,9,1,10,8,2,7]=>[7,2,8,10,1,9,6,5,4,3]
[9,2,4,5,6,7,10,3,1,8]=>[8,1,3,10,7,6,5,4,2,9]
[1,10,2,9,3,5,8,7,4,6]=>[6,4,7,8,5,3,9,2,10,1]
[1,10,2,9,3,5,8,6,7,4]=>[4,7,6,8,5,3,9,2,10,1]
[1,10,2,9,3,5,7,8,6,4]=>[4,6,8,7,5,3,9,2,10,1]
[1,10,2,4,9,8,3,7,5,6]=>[6,5,7,3,8,9,4,2,10,1]
[1,10,2,4,9,8,3,6,7,5]=>[5,7,6,3,8,9,4,2,10,1]
[1,10,2,4,9,5,8,7,3,6]=>[6,3,7,8,5,9,4,2,10,1]
[1,10,2,4,9,5,8,6,7,3]=>[3,7,6,8,5,9,4,2,10,1]
[1,10,2,4,6,9,8,7,3,5]=>[5,3,7,8,9,6,4,2,10,1]
[1,10,2,4,6,9,8,5,7,3]=>[3,7,5,8,9,6,4,2,10,1]
[1,10,2,4,6,9,7,8,5,3]=>[3,5,8,7,9,6,4,2,10,1]
[1,10,2,4,6,8,9,7,5,3]=>[3,5,7,9,8,6,4,2,10,1]
[1,3,10,9,2,8,4,7,5,6]=>[6,5,7,4,8,2,9,10,3,1]
[1,3,10,9,2,8,4,6,7,5]=>[5,7,6,4,8,2,9,10,3,1]
[1,3,10,9,2,5,8,7,4,6]=>[6,4,7,8,5,2,9,10,3,1]
[1,3,10,9,2,5,8,6,7,4]=>[4,7,6,8,5,2,9,10,3,1]
[1,3,10,9,2,5,7,8,6,4]=>[4,6,8,7,5,2,9,10,3,1]
[1,3,10,4,9,8,2,7,5,6]=>[6,5,7,2,8,9,4,10,3,1]
[1,3,10,4,9,8,2,6,7,5]=>[5,7,6,2,8,9,4,10,3,1]
[1,3,10,4,9,5,8,7,2,6]=>[6,2,7,8,5,9,4,10,3,1]
[1,3,10,4,9,5,8,6,7,2]=>[2,7,6,8,5,9,4,10,3,1]
[1,3,10,4,9,5,7,8,6,2]=>[2,6,8,7,5,9,4,10,3,1]
[1,3,10,4,6,9,8,7,2,5]=>[5,2,7,8,9,6,4,10,3,1]
[1,3,10,4,6,9,8,5,7,2]=>[2,7,5,8,9,6,4,10,3,1]
[1,3,10,4,6,8,9,7,5,2]=>[2,5,7,9,8,6,4,10,3,1]
[1,3,5,10,9,8,2,7,4,6]=>[6,4,7,2,8,9,10,5,3,1]
[1,3,5,10,9,8,2,6,7,4]=>[4,7,6,2,8,9,10,5,3,1]
[1,3,5,10,9,4,8,7,2,6]=>[6,2,7,8,4,9,10,5,3,1]
[1,3,5,10,9,4,8,6,7,2]=>[2,7,6,8,4,9,10,5,3,1]
[1,3,5,10,9,4,7,8,6,2]=>[2,6,8,7,4,9,10,5,3,1]
[1,3,5,10,6,9,8,7,2,4]=>[4,2,7,8,9,6,10,5,3,1]
[1,3,5,10,6,9,8,4,7,2]=>[2,7,4,8,9,6,10,5,3,1]
[1,3,5,10,6,9,7,8,4,2]=>[2,4,8,7,9,6,10,5,3,1]
[1,3,5,10,6,8,9,7,4,2]=>[2,4,7,9,8,6,10,5,3,1]
[1,3,5,7,10,9,8,6,2,4]=>[4,2,6,8,9,10,7,5,3,1]
[1,3,5,7,10,9,8,4,6,2]=>[2,6,4,8,9,10,7,5,3,1]
[1,3,5,7,10,9,6,8,4,2]=>[2,4,8,6,9,10,7,5,3,1]
[10,1,9,2,8,6,3,5,4,7]=>[7,4,5,3,6,8,2,9,1,10]
[10,1,9,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,9,1,10]
[1,10,2,8,3,7,4,6,5,9]=>[9,5,6,4,7,3,8,2,10,1]
[1,10,2,9,3,7,4,6,5,8]=>[8,5,6,4,7,3,9,2,10,1]
[6,10,9,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,9,10,6]
[3,1,6,7,5,8,4,10,9,2]=>[2,9,10,4,8,5,7,6,1,3]
[2,6,7,5,10,1,4,9,3,8]=>[8,3,9,4,1,10,5,7,6,2]
[2,6,7,5,10,8,1,9,4,3]=>[3,4,9,1,8,10,5,7,6,2]
[2,3,4,5,7,8,9,1,10,6]=>[6,10,1,9,8,7,5,4,3,2]
[2,3,4,5,7,8,1,9,10,6]=>[6,10,9,1,8,7,5,4,3,2]
[1,9,3,2,4,8,5,7,6,10]=>[10,6,7,5,8,4,2,3,9,1]
[1,3,9,2,4,8,5,7,6,10]=>[10,6,7,5,8,4,2,9,3,1]
[1,9,10,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,10,9,1]
[1,9,3,10,8,4,2,5,7,6]=>[6,7,5,2,4,8,10,3,9,1]
[1,4,8,10,3,9,2,5,7,6]=>[6,7,5,2,9,3,10,8,4,1]
[1,3,2,10,9,4,8,5,7,6]=>[6,7,5,8,4,9,10,2,3,1]
[1,4,2,5,6,7,8,10,3,9]=>[9,3,10,8,7,6,5,2,4,1]
[1,2,5,3,6,7,8,10,4,9]=>[9,4,10,8,7,6,3,5,2,1]
[1,2,3,6,4,7,8,10,5,9]=>[9,5,10,8,7,4,6,3,2,1]
[1,2,3,4,7,5,8,10,6,9]=>[9,6,10,8,5,7,4,3,2,1]
[4,1,7,3,8,2,10,6,9,5]=>[5,9,6,10,2,8,3,7,1,4]
[5,1,6,2,8,4,10,7,9,3]=>[3,9,7,10,4,8,2,6,1,5]
[5,1,6,2,9,4,7,8,10,3]=>[3,10,8,7,4,9,2,6,1,5]
[5,1,7,10,8,4,2,6,9,3]=>[3,9,6,2,4,8,10,7,1,5]
[7,1,4,2,8,3,10,6,9,5]=>[5,9,6,10,3,8,2,4,1,7]
[8,6,5,1,2,4,10,7,9,3]=>[3,9,7,10,4,2,1,5,6,8]
[9,6,5,1,2,4,7,8,10,3]=>[3,10,8,7,4,2,1,5,6,9]
[10,7,5,8,2,1,4,6,9,3]=>[3,9,6,4,1,2,8,5,7,10]
[10,7,6,1,4,2,8,5,9,3]=>[3,9,5,8,2,4,1,6,7,10]
[1,7,6,9,2,4,10,8,5,3]=>[3,5,8,10,4,2,9,6,7,1]
[1,8,6,4,9,5,7,10,2,3]=>[3,2,10,7,5,9,4,6,8,1]
[10,8,2,5,7,1,3,6,9,4]=>[4,9,6,3,1,7,5,2,8,10]
[10,1,8,6,2,7,3,5,9,4]=>[4,9,5,3,7,2,6,8,1,10]
[1,10,9,6,2,7,3,8,5,4]=>[4,5,8,3,7,2,6,9,10,1]
[1,3,5,6,2,4,9,8,10,7]=>[7,10,8,9,4,2,6,5,3,1]
[1,3,9,8,10,5,6,2,4,7]=>[7,4,2,6,5,10,8,9,3,1]
[1,9,8,10,2,5,6,3,4,7]=>[7,4,3,6,5,2,10,8,9,1]
[1,3,9,6,2,4,8,10,5,7]=>[7,5,10,8,4,2,6,9,3,1]
[1,9,6,3,4,8,10,2,5,7]=>[7,5,2,10,8,4,3,6,9,1]
[3,1,2,5,6,4,9,8,10,7]=>[7,10,8,9,4,6,5,2,1,3]
[3,1,2,6,5,9,8,10,4,7]=>[7,4,10,8,9,5,6,2,1,3]
[5,6,3,1,2,4,9,8,10,7]=>[7,10,8,9,4,2,1,3,6,5]
[9,8,10,5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5,10,8,9]
[9,8,10,3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3,10,8,9]
[9,6,3,1,2,4,8,10,5,7]=>[7,5,10,8,4,2,1,3,6,9]
[9,6,4,8,10,3,1,2,5,7]=>[7,5,2,1,3,10,8,4,6,9]
[5,6,1,3,2,4,9,8,10,7]=>[7,10,8,9,4,2,3,1,6,5]
[9,8,10,5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5,10,8,9]
[6,1,3,2,5,9,8,10,4,7]=>[7,4,10,8,9,5,2,3,1,6]
[3,6,2,5,9,8,10,1,4,7]=>[7,4,1,10,8,9,5,2,6,3]
[9,6,1,3,2,4,8,10,5,7]=>[7,5,10,8,4,2,3,1,6,9]
[10,4,8,9,6,1,3,2,5,7]=>[7,5,2,3,1,6,9,8,4,10]
[3,10,1,4,8,9,6,2,5,7]=>[7,5,2,6,9,8,4,1,10,3]
[6,3,1,2,5,4,9,8,10,7]=>[7,10,8,9,4,5,2,1,3,6]
[9,8,10,6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6,10,8,9]
[5,9,8,10,3,1,2,6,4,7]=>[7,4,6,2,1,3,10,8,9,5]
[10,6,3,1,2,5,4,8,9,7]=>[7,9,8,4,5,2,1,3,6,10]
[5,10,3,1,2,6,4,8,9,7]=>[7,9,8,4,6,2,1,3,10,5]
[6,1,3,2,5,4,9,8,10,7]=>[7,10,8,9,4,5,2,3,1,6]
[9,8,10,6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6,10,8,9]
[5,6,1,3,2,9,8,10,4,7]=>[7,4,10,8,9,2,3,1,6,5]
[3,5,6,2,9,8,10,1,4,7]=>[7,4,1,10,8,9,2,6,5,3]
[10,6,1,3,2,5,4,8,9,7]=>[7,9,8,4,5,2,3,1,6,10]
[5,6,1,3,2,10,4,8,9,7]=>[7,9,8,4,10,2,3,1,6,5]
[3,5,6,2,10,1,4,8,9,7]=>[7,9,8,4,1,10,2,6,5,3]
[10,4,8,9,5,6,1,3,2,7]=>[7,2,3,1,6,5,9,8,4,10]
[3,10,1,4,8,9,5,6,2,7]=>[7,2,6,5,9,8,4,1,10,3]
[8,10,6,3,1,2,5,4,9,7]=>[7,9,4,5,2,1,3,6,10,8]
[5,8,10,3,1,2,6,4,9,7]=>[7,9,4,6,2,1,3,10,8,5]
[8,10,6,1,3,2,5,4,9,7]=>[7,9,4,5,2,3,1,6,10,8]
[5,6,1,3,2,8,10,4,9,7]=>[7,9,4,10,8,2,3,1,6,5]
[3,5,6,2,8,10,1,4,9,7]=>[7,9,4,1,10,8,2,6,5,3]
[8,10,4,9,5,6,1,3,2,7]=>[7,2,3,1,6,5,9,4,10,8]
[3,2,1,9,8,7,6,5,10,4]=>[4,10,5,6,7,8,9,1,2,3]
[1,10,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,10,1]
[10,9,1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1,9,10]
[10,9,1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1,9,10]
[1,2,10,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,10,2,1]
[10,9,8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8,9,10]
[10,1,2,9,3,4,8,5,6,7]=>[7,6,5,8,4,3,9,2,1,10]
[1,10,2,9,3,4,8,5,6,7]=>[7,6,5,8,4,3,9,2,10,1]
[10,9,8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8,9,10]
[1,2,3,8,9,10,4,5,6,7]=>[7,6,5,4,10,9,8,3,2,1]
[8,1,2,10,3,9,4,7,5,6]=>[6,5,7,4,9,3,10,2,1,8]
[1,10,7,2,3,9,4,8,5,6]=>[6,5,8,4,9,3,2,7,10,1]
[1,8,9,2,3,10,4,7,5,6]=>[6,5,7,4,10,3,2,9,8,1]
[7,6,1,2,3,10,4,9,5,8]=>[8,5,9,4,10,3,2,1,6,7]
[1,10,2,9,6,3,4,8,5,7]=>[7,5,8,4,3,6,9,2,10,1]
[8,1,2,10,6,3,4,9,5,7]=>[7,5,9,4,3,6,10,2,1,8]
[1,10,2,7,8,3,4,9,5,6]=>[6,5,9,4,3,8,7,2,10,1]
[1,3,9,7,8,2,4,10,5,6]=>[6,5,10,4,2,8,7,9,3,1]
[7,1,6,2,9,3,4,10,5,8]=>[8,5,10,4,3,9,2,6,1,7]
[1,10,6,5,2,3,4,9,7,8]=>[8,7,9,4,3,2,5,6,10,1]
[1,7,9,5,2,3,4,10,6,8]=>[8,6,10,4,3,2,5,9,7,1]
[1,7,6,8,2,3,4,10,5,9]=>[9,5,10,4,3,2,8,6,7,1]
[6,5,4,1,2,3,7,10,8,9]=>[9,8,10,7,3,2,1,4,5,6]
[1,10,7,2,3,9,5,4,6,8]=>[8,6,4,5,9,3,2,7,10,1]
[1,8,9,2,3,10,5,4,6,7]=>[7,6,4,5,10,3,2,9,8,1]
[7,6,1,2,3,10,5,4,8,9]=>[9,8,4,5,10,3,2,1,6,7]
[1,10,2,9,3,6,7,4,5,8]=>[8,5,4,7,6,3,9,2,10,1]
[8,1,2,10,3,6,7,4,5,9]=>[9,5,4,7,6,3,10,2,1,8]
[1,10,2,4,8,6,7,3,5,9]=>[9,5,3,7,6,8,4,2,10,1]
[7,1,3,2,9,6,8,4,5,10]=>[10,5,4,8,6,9,2,3,1,7]
[1,10,6,2,5,3,8,4,7,9]=>[9,7,4,8,3,5,2,6,10,1]
[1,7,9,2,5,3,8,4,6,10]=>[10,6,4,8,3,5,2,9,7,1]
[1,7,3,8,5,2,9,4,6,10]=>[10,6,4,9,2,5,8,3,7,1]
[6,5,1,4,2,3,9,7,8,10]=>[10,8,7,9,3,2,4,1,5,6]
[8,1,2,10,5,4,3,6,7,9]=>[9,7,6,3,4,5,10,2,1,8]
[1,10,2,6,8,4,3,5,7,9]=>[9,7,5,3,4,8,6,2,10,1]
[1,3,9,6,8,4,2,5,7,10]=>[10,7,5,2,4,8,6,9,3,1]
[7,1,5,2,9,4,3,6,8,10]=>[10,8,6,3,4,9,2,5,1,7]
[1,10,2,6,5,7,3,4,8,9]=>[9,8,4,3,7,5,6,2,10,1]
[1,3,9,6,5,7,2,4,8,10]=>[10,8,4,2,7,5,6,9,3,1]
[6,1,5,4,2,8,3,7,9,10]=>[10,9,7,3,8,2,4,5,1,6]
[1,6,9,4,3,2,5,7,8,10]=>[10,8,7,5,2,3,4,9,6,1]
[1,6,5,8,3,2,4,7,9,10]=>[10,9,7,4,2,3,8,5,6,1]
[3,4,5,6,7,9,8,1,10,2]=>[2,10,1,8,9,7,6,5,4,3]
[3,4,5,6,8,7,1,9,10,2]=>[2,10,9,1,7,8,6,5,4,3]
[3,4,5,7,6,1,8,9,10,2]=>[2,10,9,8,1,6,7,5,4,3]
[3,4,6,5,1,7,8,9,10,2]=>[2,10,9,8,7,1,5,6,4,3]
[3,5,4,1,6,7,8,9,10,2]=>[2,10,9,8,7,6,1,4,5,3]
[9,10,1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1,10,9]
[10,7,1,3,6,2,4,5,8,9]=>[9,8,5,4,2,6,3,1,7,10]
[8,9,10,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,10,9,8]
[7,4,1,3,10,2,5,6,8,9]=>[9,8,6,5,2,10,3,1,4,7]
[4,3,9,10,1,8,2,5,6,7]=>[7,6,5,2,8,1,10,9,3,4]
[4,10,7,1,5,6,2,3,8,9]=>[9,8,3,2,6,5,1,7,10,4]
[4,9,6,10,1,5,7,8,2,3]=>[3,2,8,7,5,1,10,6,9,4]
[4,8,9,10,7,1,5,6,2,3]=>[3,2,6,5,1,7,10,9,8,4]
[10,6,7,5,1,4,2,3,8,9]=>[9,8,3,2,4,1,5,7,6,10]
[9,10,6,5,1,4,7,8,2,3]=>[3,2,8,7,4,1,5,6,10,9]
[8,9,5,10,6,7,1,4,2,3]=>[3,2,4,1,7,6,10,5,9,8]
[7,8,9,10,6,5,1,4,2,3]=>[3,2,4,1,5,6,10,9,8,7]
[5,2,1,7,10,3,4,6,8,9]=>[9,8,6,4,3,10,7,1,2,5]
[2,1,9,10,5,8,3,4,6,7]=>[7,6,4,3,8,5,10,9,1,2]
[1,10,2,7,6,3,4,5,8,9]=>[9,8,5,4,3,6,7,2,10,1]
[1,9,2,6,10,7,8,3,4,5]=>[5,4,3,8,7,10,6,2,9,1]
[1,8,9,10,2,7,6,3,4,5]=>[5,4,3,6,7,2,10,9,8,1]
[2,7,4,10,3,1,5,6,8,9]=>[9,8,6,5,1,3,10,4,7,2]
[2,4,9,1,10,8,3,5,6,7]=>[7,6,5,3,8,10,1,9,4,2]
[2,4,10,7,3,5,6,1,8,9]=>[9,8,1,6,5,3,7,10,4,2]
[2,4,8,9,10,7,3,5,6,1]=>[1,6,5,3,7,10,9,8,4,2]
[10,2,6,7,5,3,4,1,8,9]=>[9,8,1,4,3,5,7,6,2,10]
[9,10,2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2,10,9]
[8,9,2,5,10,6,7,3,4,1]=>[1,4,3,7,6,10,5,2,9,8]
[7,8,9,10,2,6,5,3,4,1]=>[1,4,3,5,6,2,10,9,8,7]
[7,10,4,3,2,1,5,6,8,9]=>[9,8,6,5,1,2,3,4,10,7]
[9,3,2,1,10,8,4,5,6,7]=>[7,6,5,4,8,10,1,2,3,9]
[10,7,4,3,2,5,6,1,8,9]=>[9,8,1,6,5,2,3,4,7,10]
[9,6,3,2,10,4,5,7,8,1]=>[1,8,7,5,4,10,2,3,6,9]
[8,3,2,9,10,7,4,5,6,1]=>[1,6,5,4,7,10,9,2,3,8]
[10,6,3,7,4,5,2,1,8,9]=>[9,8,1,2,5,4,7,3,6,10]
[9,3,10,6,4,5,2,7,8,1]=>[1,8,7,2,5,4,6,10,3,9]
[7,3,8,9,10,6,4,5,2,1]=>[1,2,5,4,6,10,9,8,3,7]
[10,5,6,7,4,3,2,1,8,9]=>[9,8,1,2,3,4,7,6,5,10]
[9,10,5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5,10,9]
[8,9,10,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,10,9,8]
[6,8,5,9,10,4,3,2,1,7]=>[7,1,2,3,4,10,9,5,8,6]
[5,8,7,4,9,10,3,2,1,6]=>[6,1,2,3,10,9,4,7,8,5]
[4,10,8,7,6,3,9,2,1,5]=>[5,1,2,9,3,6,7,8,10,4]
[3,8,7,6,5,2,9,10,1,4]=>[4,1,10,9,2,5,6,7,8,3]
[2,8,7,6,5,4,1,9,10,3]=>[3,10,9,1,4,5,6,7,8,2]
[7,6,5,4,3,2,10,8,9,1]=>[1,9,8,10,2,3,4,5,6,7]
[6,5,4,3,2,1,10,7,9,8]=>[8,9,7,10,1,2,3,4,5,6]
[9,1,10,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,10,1,9]
[9,1,2,10,3,5,6,7,8,4]=>[4,8,7,6,5,3,10,2,1,9]
[9,1,2,3,10,4,6,7,8,5]=>[5,8,7,6,4,10,3,2,1,9]
[9,1,2,3,4,10,5,7,8,6]=>[6,8,7,5,10,4,3,2,1,9]
[9,1,2,3,4,5,10,6,8,7]=>[7,8,6,10,5,4,3,2,1,9]
[1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1]
[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]
[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]
[10,1,2,3,4,5,6,7,8,11,9]=>[9,11,8,7,6,5,4,3,2,1,10]
[11,1,2,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,2,1,11]
[11,1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1,11]
[10,1,2,3,4,5,11,6,7,8,9]=>[9,8,7,6,11,5,4,3,2,1,10]
[11,1,2,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,2,1,11]
[11,1,2,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,2,1,11]
[10,1,2,11,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,11,2,1,10]
[11,1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1,11]
[11,10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10,11]
[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]
[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]
[2,3,4,5,6,7,8,9,11,1,10]=>[10,1,11,9,8,7,6,5,4,3,2]
[3,1,4,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,4,1,3]
[11,3,4,5,6,7,8,9,1,2,10]=>[10,2,1,9,8,7,6,5,4,3,11]
[11,1,4,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,4,1,11]
[10,1,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,1,10]
[1,11,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,11,1]
[10,9,8,7,6,5,4,3,1,11,2]=>[2,11,1,3,4,5,6,7,8,9,10]
[9,11,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,11,9]
[10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]
[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]
[2,3,4,5,6,7,8,9,10,1,11]=>[11,1,10,9,8,7,6,5,4,3,2]
[1,3,4,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,4,3,1]
[2,11,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,11,2]
[11,3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3,11]
[11,4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4,11]
[5,11,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,11,5]
[11,6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6,11]
[11,7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7,11]
[8,11,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,11,8]
[11,9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9,11]
[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]
[10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]
[9,8,10,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,10,8,9]
[9,8,7,10,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,10,7,8,9]
[9,8,7,6,5,10,4,3,2,1,11]=>[11,1,2,3,4,10,5,6,7,8,9]
[9,8,7,6,5,4,10,3,2,1,11]=>[11,1,2,3,10,4,5,6,7,8,9]
[9,8,7,6,5,4,3,2,10,1,11]=>[11,1,10,2,3,4,5,6,7,8,9]
[9,8,7,6,5,4,3,2,1,10,11]=>[11,10,1,2,3,4,5,6,7,8,9]
[2,3,4,5,6,7,8,10,11,9,1]=>[1,9,11,10,8,7,6,5,4,3,2]
[2,3,4,5,6,7,9,10,11,8,1]=>[1,8,11,10,9,7,6,5,4,3,2]
[2,3,4,5,6,8,9,10,11,1,7]=>[7,1,11,10,9,8,6,5,4,3,2]
[2,3,4,5,7,8,9,10,11,6,1]=>[1,6,11,10,9,8,7,5,4,3,2]
[2,3,4,6,7,8,9,10,11,5,1]=>[1,5,11,10,9,8,7,6,4,3,2]
[2,3,5,6,7,8,9,10,11,1,4]=>[4,1,11,10,9,8,7,6,5,3,2]
[2,4,5,6,7,8,9,10,11,3,1]=>[1,3,11,10,9,8,7,6,5,4,2]
[3,4,5,6,7,8,9,10,11,2,1]=>[1,2,11,10,9,8,7,6,5,4,3]
[10,1,11,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,11,1,10]
[2,11,10,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,10,11,2]
[2,11,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,11,2]
[11,1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1,11]
[2,11,10,9,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,9,10,11,2]
[2,11,10,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,10,11,2]
[1,2,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,2,1]
[6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6]
[1,7,8,9,10,11,2,3,4,5,6]=>[6,5,4,3,2,11,10,9,8,7,1]
[2,4,1,5,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,5,1,4,2]
[2,3,4,5,6,7,8,10,1,11,9]=>[9,11,1,10,8,7,6,5,4,3,2]
[2,3,5,1,6,7,8,9,10,11,4]=>[4,11,10,9,8,7,6,1,5,3,2]
[2,3,4,5,6,7,9,1,10,11,8]=>[8,11,10,1,9,7,6,5,4,3,2]
[2,3,4,6,1,7,8,9,10,11,5]=>[5,11,10,9,8,7,1,6,4,3,2]
[2,3,4,5,6,8,1,9,10,11,7]=>[7,11,10,9,1,8,6,5,4,3,2]
[2,3,4,5,7,1,8,9,10,11,6]=>[6,11,10,9,8,1,7,5,4,3,2]
[10,2,1,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,1,2,10]
[3,2,4,5,6,7,8,9,10,1,11]=>[11,1,10,9,8,7,6,5,4,2,3]
[10,2,3,4,5,6,7,8,9,1,11]=>[11,1,9,8,7,6,5,4,3,2,10]
[1,11,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,11,1]
[1,2,3,4,6,8,5,7,10,9,11]=>[11,9,10,7,5,8,6,4,3,2,1]
[1,2,3,4,7,5,8,6,10,9,11]=>[11,9,10,6,8,5,7,4,3,2,1]
[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]
[2,1,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,1,2]
[9,10,1,2,3,4,5,6,7,11,8]=>[8,11,7,6,5,4,3,2,1,10,9]
[2,10,11,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,11,10,2]
[1,2,3,4,5,6,7,8,10,11,9]=>[9,11,10,8,7,6,5,4,3,2,1]
[2,4,1,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,1,4,2]
[11,3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3,11]
[10,3,4,5,6,7,8,9,1,11,2]=>[2,11,1,9,8,7,6,5,4,3,10]
[9,3,4,5,6,7,8,1,10,11,2]=>[2,11,10,1,8,7,6,5,4,3,9]
[8,3,4,5,6,7,1,9,10,11,2]=>[2,11,10,9,1,7,6,5,4,3,8]
[7,3,4,5,6,1,8,9,10,11,2]=>[2,11,10,9,8,1,6,5,4,3,7]
[6,3,4,5,1,7,8,9,10,11,2]=>[2,11,10,9,8,7,1,5,4,3,6]
[5,3,4,1,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,1,4,3,5]
[4,3,1,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,1,3,4]
[2,11,4,5,6,7,8,9,10,1,3]=>[3,1,10,9,8,7,6,5,4,11,2]
[10,9,4,5,6,7,8,1,2,11,3]=>[3,11,2,1,8,7,6,5,4,9,10]
[2,11,10,5,6,7,8,9,1,3,4]=>[4,3,1,9,8,7,6,5,10,11,2]
[11,2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2,11]
[10,9,1,2,3,4,5,6,7,11,8]=>[8,11,7,6,5,4,3,2,1,9,10]
[2,11,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,11,2]
[2,4,1,6,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,6,1,4,2]
[10,1,2,3,4,5,6,7,11,8,9]=>[9,8,11,7,6,5,4,3,2,1,10]
[1,11,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,11,1]
[1,2,11,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,11,2,1]
[1,2,3,10,4,5,6,7,11,8,9]=>[9,8,11,7,6,5,4,10,3,2,1]
[1,2,3,4,11,5,6,7,8,10,9]=>[9,10,8,7,6,5,11,4,3,2,1]
[1,2,3,4,5,11,6,7,8,10,9]=>[9,10,8,7,6,11,5,4,3,2,1]
[1,2,3,4,5,6,10,7,11,8,9]=>[9,8,11,7,10,6,5,4,3,2,1]
[1,2,3,4,5,6,7,11,8,10,9]=>[9,10,8,11,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,8,11,10,9]=>[9,10,11,8,7,6,5,4,3,2,1]
[9,10,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,10,9]
[2,10,11,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,11,10,2]
[1,2,3,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,3,2,1]
[11,1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1,11]
[10,2,3,4,5,6,7,8,11,1,9]=>[9,1,11,8,7,6,5,4,3,2,10]
[10,11,3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3,11,10]
[7,1,2,3,4,5,11,6,8,9,10]=>[10,9,8,6,11,5,4,3,2,1,7]
[11,1,2,3,4,5,8,6,7,9,10]=>[10,9,7,6,8,5,4,3,2,1,11]
[11,1,2,3,4,5,9,6,7,8,10]=>[10,8,7,6,9,5,4,3,2,1,11]
[11,10,5,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,5,10,11]
[11,10,1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1,10,11]
[5,11,1,2,10,3,4,6,7,8,9]=>[9,8,7,6,4,3,10,2,1,11,5]
[5,11,1,2,3,10,4,6,7,8,9]=>[9,8,7,6,4,10,3,2,1,11,5]
[2,3,4,5,6,7,8,10,11,1,9]=>[9,1,11,10,8,7,6,5,4,3,2]
[2,3,4,5,6,7,9,10,11,1,8]=>[8,1,11,10,9,7,6,5,4,3,2]
[2,3,4,5,7,8,9,10,11,1,6]=>[6,1,11,10,9,8,7,5,4,3,2]
[2,3,4,6,7,8,9,10,11,1,5]=>[5,1,11,10,9,8,7,6,4,3,2]
[2,4,5,6,7,8,9,10,11,1,3]=>[3,1,11,10,9,8,7,6,5,4,2]
[3,4,5,6,7,8,9,10,11,1,2]=>[2,1,11,10,9,8,7,6,5,4,3]
[10,9,8,7,5,6,4,3,2,11,1]=>[1,11,2,3,4,6,5,7,8,9,10]
[2,11,10,9,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,9,10,11,2]
[9,8,7,6,5,4,3,1,11,2,10]=>[10,2,11,1,3,4,5,6,7,8,9]
[10,9,8,7,6,5,4,1,2,11,3]=>[3,11,2,1,4,5,6,7,8,9,10]
[9,6,10,4,7,2,5,11,1,3,8]=>[8,3,1,11,5,2,7,4,10,6,9]
[8,6,9,4,7,2,5,1,3,10,11]=>[11,10,3,1,5,2,7,4,9,6,8]
[9,6,3,10,11,2,7,8,1,4,5]=>[5,4,1,8,7,2,11,10,3,6,9]
[8,5,3,9,2,6,10,1,4,7,11]=>[11,7,4,1,10,6,2,9,3,5,8]
[7,5,3,8,2,6,1,4,9,10,11]=>[11,10,9,4,1,6,2,8,3,5,7]
[8,4,3,2,9,10,11,1,5,6,7]=>[7,6,5,1,11,10,9,2,3,4,8]
[7,4,3,2,8,9,1,5,6,10,11]=>[11,10,6,5,1,9,8,2,3,4,7]
[9,10,6,7,11,3,4,8,1,2,5]=>[5,2,1,8,4,3,11,7,6,10,9]
[8,9,5,6,3,4,10,1,2,7,11]=>[11,7,2,1,10,4,3,6,5,9,8]
[7,8,5,6,3,4,1,2,9,10,11]=>[11,10,9,2,1,4,3,6,5,8,7]
[8,5,9,10,2,6,7,1,3,4,11]=>[11,4,3,1,7,6,2,10,9,5,8]
[8,4,9,2,5,10,11,1,3,6,7]=>[7,6,3,1,11,10,5,2,9,4,8]
[7,4,8,2,5,9,1,3,6,10,11]=>[11,10,6,3,1,9,5,2,8,4,7]
[7,3,2,8,9,10,1,4,5,6,11]=>[11,6,5,4,1,10,9,8,2,3,7]
[8,9,10,4,5,6,11,1,2,3,7]=>[7,3,2,1,11,6,5,4,10,9,8]
[7,8,9,4,5,6,1,2,3,10,11]=>[11,10,3,2,1,6,5,4,9,8,7]
[7,8,3,4,9,10,1,2,5,6,11]=>[11,6,5,2,1,10,9,4,3,8,7]
[11,9,1,2,3,4,5,6,10,7,8]=>[8,7,10,6,5,4,3,2,1,9,11]
[11,10,1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1,10,11]
[11,10,1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1,10,11]
[9,10,1,2,3,11,4,5,6,7,8]=>[8,7,6,5,4,11,3,2,1,10,9]
[9,11,1,2,10,3,4,5,6,7,8]=>[8,7,6,5,4,3,10,2,1,11,9]
[10,11,1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1,11,10]
[10,11,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,11,10]
[2,11,1,5,6,7,8,9,10,3,4]=>[4,3,10,9,8,7,6,5,1,11,2]
[1,11,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,11,1]
[1,10,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,10,1]
[1,3,4,5,6,7,8,9,10,2,11]=>[11,2,10,9,8,7,6,5,4,3,1]
[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]
[11,1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1,11]
[10,1,2,3,4,5,6,7,11,9,8]=>[8,9,11,7,6,5,4,3,2,1,10]
[10,1,2,3,4,5,6,11,8,9,7]=>[7,9,8,11,6,5,4,3,2,1,10]
[11,1,2,3,4,5,10,7,8,9,6]=>[6,9,8,7,10,5,4,3,2,1,11]
[10,1,2,3,4,11,6,7,8,9,5]=>[5,9,8,7,6,11,4,3,2,1,10]
[10,1,2,3,11,5,6,7,8,9,4]=>[4,9,8,7,6,5,11,3,2,1,10]
[11,1,2,10,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,10,2,1,11]
[10,1,11,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,11,1,10]
[10,11,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,11,10]
[11,9,10,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,10,9,11]
[10,11,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,11,10]
[11,9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9,11]
[9,10,11,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,11,10,9]
[11,8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8,11]
[10,11,7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7,11,10]
[10,11,8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8,11,10]
[11,9,10,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,10,9,11]
[11,10,8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8,10,11]
[10,1,11,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,11,1,10]
[10,11,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,11,10]
[3,1,4,2,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,2,4,1,3]
[1,2,3,4,5,6,7,8,10,9,11]=>[11,9,10,8,7,6,5,4,3,2,1]
[2,1,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,1,2]
[11,2,3,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,3,2,11]
[3,11,1,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,1,11,3]
[9,1,11,3,4,5,6,7,8,2,10]=>[10,2,8,7,6,5,4,3,11,1,9]
[11,10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10,11]
[2,3,4,5,6,7,8,9,11,10,1]=>[1,10,11,9,8,7,6,5,4,3,2]
[2,3,4,5,6,8,9,10,11,7,1]=>[1,7,11,10,9,8,6,5,4,3,2]
[2,3,5,6,7,8,9,10,11,4,1]=>[1,4,11,10,9,8,7,6,5,3,2]
[1,3,2,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,2,3,1]
[3,1,11,5,6,7,8,9,10,2,4]=>[4,2,10,9,8,7,6,5,11,1,3]
[2,3,4,5,6,7,8,11,9,10,1]=>[1,10,9,11,8,7,6,5,4,3,2]
[2,3,4,5,6,7,11,8,9,10,1]=>[1,10,9,8,11,7,6,5,4,3,2]
[2,3,4,5,6,11,7,8,9,10,1]=>[1,10,9,8,7,11,6,5,4,3,2]
[2,3,4,5,11,6,7,8,9,10,1]=>[1,10,9,8,7,6,11,5,4,3,2]
[2,3,4,11,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,11,4,3,2]
[2,3,11,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,11,3,2]
[2,11,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,11,2]
[2,3,1,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,1,3,2]
[3,1,2,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,2,1,3]
[3,4,5,6,7,8,9,10,1,2,11]=>[11,2,1,10,9,8,7,6,5,4,3]
[3,4,5,6,7,8,9,11,1,2,10]=>[10,2,1,11,9,8,7,6,5,4,3]
[3,4,5,6,7,8,10,11,1,2,9]=>[9,2,1,11,10,8,7,6,5,4,3]
[3,4,5,6,7,9,10,11,1,2,8]=>[8,2,1,11,10,9,7,6,5,4,3]
[3,4,5,6,8,9,10,11,1,2,7]=>[7,2,1,11,10,9,8,6,5,4,3]
[3,4,5,7,8,9,10,11,1,2,6]=>[6,2,1,11,10,9,8,7,5,4,3]
[3,4,6,7,8,9,10,11,1,2,5]=>[5,2,1,11,10,9,8,7,6,4,3]
[3,5,6,7,8,9,10,11,1,2,4]=>[4,2,1,11,10,9,8,7,6,5,3]
[4,5,6,7,8,9,10,11,1,2,3]=>[3,2,1,11,10,9,8,7,6,5,4]
[11,1,10,5,6,7,8,9,2,3,4]=>[4,3,2,9,8,7,6,5,10,1,11]
[10,1,11,9,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,9,11,1,10]
[9,1,10,11,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,11,10,1,9]
[8,1,9,10,11,2,3,4,5,6,7]=>[7,6,5,4,3,2,11,10,9,1,8]
[11,1,10,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,10,1,11]
[11,2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2,11]
[11,2,3,4,5,6,7,10,9,8,1]=>[1,8,9,10,7,6,5,4,3,2,11]
[11,2,3,4,5,6,10,8,9,7,1]=>[1,7,9,8,10,6,5,4,3,2,11]
[11,2,3,4,5,10,7,8,9,6,1]=>[1,6,9,8,7,10,5,4,3,2,11]
[11,2,3,4,10,6,7,8,9,5,1]=>[1,5,9,8,7,6,10,4,3,2,11]
[11,2,3,10,5,6,7,8,9,4,1]=>[1,4,9,8,7,6,5,10,3,2,11]
[11,2,10,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,10,2,11]
[11,10,3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3,10,11]
[9,8,7,6,5,4,3,2,1,11,10]=>[10,11,1,2,3,4,5,6,7,8,9]
[2,3,4,5,6,7,10,9,11,8,1]=>[1,8,11,9,10,7,6,5,4,3,2]
[2,3,4,5,6,10,8,9,11,7,1]=>[1,7,11,9,8,10,6,5,4,3,2]
[2,3,4,5,10,7,8,9,11,1,6]=>[6,1,11,9,8,7,10,5,4,3,2]
[2,3,4,10,6,7,8,9,11,5,1]=>[1,5,11,9,8,7,6,10,4,3,2]
[2,3,10,5,6,7,8,9,11,4,1]=>[1,4,11,9,8,7,6,5,10,3,2]
[2,10,4,5,6,7,8,9,11,1,3]=>[3,1,11,9,8,7,6,5,4,10,2]
[10,3,4,5,6,7,8,9,11,2,1]=>[1,2,11,9,8,7,6,5,4,3,10]
[1,3,2,5,4,7,6,9,8,11,10]=>[10,11,8,9,6,7,4,5,2,3,1]
[1,3,5,2,4,7,6,9,8,11,10]=>[10,11,8,9,6,7,4,2,5,3,1]
[1,3,5,2,7,4,6,9,8,11,10]=>[10,11,8,9,6,4,7,2,5,3,1]
[1,3,5,2,7,4,9,6,8,11,10]=>[10,11,8,6,9,4,7,2,5,3,1]
[1,3,5,2,7,4,9,6,11,8,10]=>[10,8,11,6,9,4,7,2,5,3,1]
[1,3,5,2,7,4,9,6,10,8,11]=>[11,8,10,6,9,4,7,2,5,3,1]
[1,3,5,2,7,4,8,6,10,9,11]=>[11,9,10,6,8,4,7,2,5,3,1]
[1,3,5,2,6,4,8,7,10,9,11]=>[11,9,10,7,8,4,6,2,5,3,1]
[1,3,4,2,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,2,4,3,1]
[1,2,4,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,4,2,1]
[10,9,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,9,10]
[3,4,5,6,7,8,9,10,1,11,2]=>[2,11,1,10,9,8,7,6,5,4,3]
[4,2,5,6,7,8,9,10,11,1,3]=>[3,1,11,10,9,8,7,6,5,2,4]
[1,5,6,7,8,9,10,11,3,4,2]=>[2,4,3,11,10,9,8,7,6,5,1]
[1,3,6,7,8,9,10,11,2,5,4]=>[4,5,2,11,10,9,8,7,6,3,1]
[6,5,7,4,8,3,9,2,10,1,11]=>[11,1,10,2,9,3,8,4,7,5,6]
[1,7,6,8,5,9,4,10,3,11,2]=>[2,11,3,10,4,9,5,8,6,7,1]
[3,1,11,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,11,1,3]
[11,3,10,9,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,9,10,3,11]
[1,10,2,9,3,8,4,7,5,6,11]=>[11,6,5,7,4,8,3,9,2,10,1]
[1,2,11,3,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,3,11,2,1]
[10,3,4,5,6,7,8,1,2,11,9]=>[9,11,2,1,8,7,6,5,4,3,10]
[2,3,4,5,6,7,8,11,10,1,9]=>[9,1,10,11,8,7,6,5,4,3,2]
[11,3,4,5,6,7,8,10,1,2,9]=>[9,2,1,10,8,7,6,5,4,3,11]
[11,4,1,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,1,4,11]
[2,11,4,5,6,7,8,10,1,3,9]=>[9,3,1,10,8,7,6,5,4,11,2]
[11,3,4,5,6,7,8,1,10,2,9]=>[9,2,10,1,8,7,6,5,4,3,11]
[11,3,1,5,6,7,8,9,10,2,4]=>[4,2,10,9,8,7,6,5,1,3,11]
[10,4,1,5,6,7,8,9,2,11,3]=>[3,11,2,9,8,7,6,5,1,4,10]
[3,2,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,2,3]
[8,1,2,3,4,5,6,10,7,11,9]=>[9,11,7,10,6,5,4,3,2,1,8]
[6,1,2,3,4,8,5,10,7,11,9]=>[9,11,7,10,5,8,4,3,2,1,6]
[4,1,2,6,3,8,5,10,7,11,9]=>[9,11,7,10,5,8,3,6,2,1,4]
[2,4,1,6,3,8,5,10,7,11,9]=>[9,11,7,10,5,8,3,6,1,4,2]
[3,4,2,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,2,4,3]
[3,4,5,2,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,2,5,4,3]
[3,4,5,6,1,7,8,9,10,11,2]=>[2,11,10,9,8,7,1,6,5,4,3]
[3,4,5,6,7,2,8,9,10,11,1]=>[1,11,10,9,8,2,7,6,5,4,3]
[3,4,5,6,7,8,2,9,10,11,1]=>[1,11,10,9,2,8,7,6,5,4,3]
[3,4,5,6,7,8,9,1,10,11,2]=>[2,11,10,1,9,8,7,6,5,4,3]
[3,4,5,6,7,8,9,10,2,11,1]=>[1,11,2,10,9,8,7,6,5,4,3]
[3,4,5,6,7,8,1,9,2,11,10]=>[10,11,2,9,1,8,7,6,5,4,3]
[1,4,5,6,7,11,8,9,2,10,3]=>[3,10,2,9,8,11,7,6,5,4,1]
[3,11,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,11,3]
[8,9,10,7,6,1,2,3,4,11,5]=>[5,11,4,3,2,1,6,7,10,9,8]
[2,9,10,11,8,7,1,3,4,5,6]=>[6,5,4,3,1,7,8,11,10,9,2]
[7,8,9,10,1,2,3,4,5,11,6]=>[6,11,5,4,3,2,1,10,9,8,7]
[2,8,9,10,11,1,3,4,5,6,7]=>[7,6,5,4,3,1,11,10,9,8,2]
[2,3,4,5,6,7,8,11,1,9,10]=>[10,9,1,11,8,7,6,5,4,3,2]
[2,3,4,5,6,7,11,1,8,9,10]=>[10,9,8,1,11,7,6,5,4,3,2]
[2,3,4,5,6,11,1,7,8,9,10]=>[10,9,8,7,1,11,6,5,4,3,2]
[2,3,4,5,11,1,6,7,8,9,10]=>[10,9,8,7,6,1,11,5,4,3,2]
[2,3,4,11,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,11,4,3,2]
[2,3,11,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,11,3,2]
[9,3,4,5,6,7,8,1,11,2,10]=>[10,2,11,1,8,7,6,5,4,3,9]
[11,9,4,5,6,7,8,1,10,2,3]=>[3,2,10,1,8,7,6,5,4,9,11]
[3,1,4,5,6,7,8,9,11,2,10]=>[10,2,11,9,8,7,6,5,4,1,3]
[2,3,4,5,6,9,7,10,8,11,1]=>[1,11,8,10,7,9,6,5,4,3,2]
[3,4,5,6,7,10,8,11,2,9,1]=>[1,9,2,11,8,10,7,6,5,4,3]
[2,11,1,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,1,11,2]
[2,10,1,3,4,5,6,7,8,11,9]=>[9,11,8,7,6,5,4,3,1,10,2]
[11,2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2,11]
[11,10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10,11]
[11,3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3,11]
[9,11,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,11,9]
[11,10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10,11]
[10,1,2,3,4,11,5,6,7,8,9]=>[9,8,7,6,5,11,4,3,2,1,10]
[1,10,11,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,11,10,1]
[1,11,9,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,9,11,1]
[1,11,9,7,6,5,4,3,2,8,10]=>[10,8,2,3,4,5,6,7,9,11,1]
[1,10,8,6,5,4,3,2,7,11,9]=>[9,11,7,2,3,4,5,6,8,10,1]
[1,11,9,7,5,4,3,2,6,10,8]=>[8,10,6,2,3,4,5,7,9,11,1]
[1,11,9,7,5,10,8,6,4,3,2]=>[2,3,4,6,8,10,5,7,9,11,1]
[1,10,8,6,4,11,9,7,5,3,2]=>[2,3,5,7,9,11,4,6,8,10,1]
[1,11,9,7,5,3,10,8,6,4,2]=>[2,4,6,8,10,3,5,7,9,11,1]
[1,11,9,7,5,3,2,10,8,6,4]=>[4,6,8,10,2,3,5,7,9,11,1]
[4,1,2,5,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,5,2,1,4]
[11,1,2,3,4,5,6,10,8,7,9]=>[9,7,8,10,6,5,4,3,2,1,11]
[11,1,2,3,4,5,10,7,8,6,9]=>[9,6,8,7,10,5,4,3,2,1,11]
[10,1,2,3,4,11,6,7,8,5,9]=>[9,5,8,7,6,11,4,3,2,1,10]
[11,1,2,3,10,5,6,7,8,4,9]=>[9,4,8,7,6,5,10,3,2,1,11]
[11,1,2,10,4,5,6,7,8,3,9]=>[9,3,8,7,6,5,4,10,2,1,11]
[10,1,11,3,4,5,6,7,8,2,9]=>[9,2,8,7,6,5,4,3,11,1,10]
[11,10,2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2,10,11]
[10,11,4,5,6,7,8,1,2,3,9]=>[9,3,2,1,8,7,6,5,4,11,10]
[10,11,1,5,6,7,8,9,2,3,4]=>[4,3,2,9,8,7,6,5,1,11,10]
[11,10,2,1,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,1,2,10,11]
[11,1,9,2,7,3,8,4,10,5,6]=>[6,5,10,4,8,3,7,2,9,1,11]
[11,1,10,2,6,3,8,9,4,5,7]=>[7,5,4,9,8,3,6,2,10,1,11]
[9,1,5,2,11,8,3,4,10,6,7]=>[7,6,10,4,3,8,11,2,5,1,9]
[11,1,10,2,6,7,3,9,4,5,8]=>[8,5,4,9,3,7,6,2,10,1,11]
[10,1,5,2,11,7,9,3,4,6,8]=>[8,6,4,3,9,7,11,2,5,1,10]
[11,1,4,9,2,3,8,5,10,6,7]=>[7,6,10,5,8,3,2,9,4,1,11]
[7,1,4,11,2,3,10,9,5,6,8]=>[8,6,5,9,10,3,2,11,4,1,7]
[9,1,6,5,2,11,3,4,10,7,8]=>[8,7,10,4,3,11,2,5,6,1,9]
[11,1,4,9,6,2,3,5,10,7,8]=>[8,7,10,5,3,2,6,9,4,1,11]
[8,1,11,6,2,7,3,10,4,5,9]=>[9,5,4,10,3,7,2,6,11,1,8]
[11,1,10,5,2,7,8,3,4,6,9]=>[9,6,4,3,8,7,2,5,10,1,11]
[8,1,4,11,7,2,3,10,5,6,9]=>[9,6,5,10,3,2,7,11,4,1,8]
[11,1,10,5,6,2,8,3,4,7,9]=>[9,7,4,3,8,2,6,5,10,1,11]
[11,1,4,10,6,8,2,3,5,7,9]=>[9,7,5,3,2,8,6,10,4,1,11]
[9,3,1,2,11,4,8,5,10,6,7]=>[7,6,10,5,8,4,11,2,1,3,9]
[11,3,1,2,7,4,10,9,5,6,8]=>[8,6,5,9,10,4,7,2,1,3,11]
[9,3,1,2,6,11,4,5,10,7,8]=>[8,7,10,5,4,11,6,2,1,3,9]
[11,3,1,2,8,7,4,10,5,6,9]=>[9,6,5,10,4,7,8,2,1,3,11]
[10,3,1,2,6,11,8,4,5,7,9]=>[9,7,5,4,8,11,6,2,1,3,10]
[11,4,1,5,2,3,9,6,10,7,8]=>[8,7,10,6,9,3,2,5,1,4,11]
[11,4,1,5,2,3,8,10,6,7,9]=>[9,7,6,10,8,3,2,5,1,4,11]
[11,3,5,1,2,4,9,6,10,7,8]=>[8,7,10,6,9,4,2,1,5,3,11]
[11,3,5,1,2,4,8,10,6,7,9]=>[9,7,6,10,8,4,2,1,5,3,11]
[6,11,1,5,2,7,3,4,10,8,9]=>[9,8,10,4,3,7,2,5,1,11,6]
[11,4,1,7,6,2,3,5,10,8,9]=>[9,8,10,5,3,2,6,7,1,4,11]
[6,3,11,1,2,7,4,5,10,8,9]=>[9,8,10,5,4,7,2,1,11,3,6]
[11,5,4,1,7,2,3,6,10,8,9]=>[9,8,10,6,3,2,7,1,4,5,11]
[7,3,11,5,1,2,4,6,10,8,9]=>[9,8,10,6,4,2,1,5,11,3,7]
[11,8,1,6,2,7,3,9,4,5,10]=>[10,5,4,9,3,7,2,6,1,8,11]
[11,9,1,5,2,7,8,3,4,6,10]=>[10,6,4,3,8,7,2,5,1,9,11]
[8,4,1,11,7,2,3,9,5,6,10]=>[10,6,5,9,3,2,7,11,1,4,8]
[11,9,1,5,6,2,8,3,4,7,10]=>[10,7,4,3,8,2,6,5,1,9,11]
[9,4,1,11,6,8,2,3,5,7,10]=>[10,7,5,3,2,8,6,11,1,4,9]
[11,3,8,1,2,7,4,9,5,6,10]=>[10,6,5,9,4,7,2,1,8,3,11]
[6,3,11,1,2,9,8,4,5,7,10]=>[10,7,5,4,8,9,2,1,11,3,6]
[8,5,4,1,11,2,3,9,6,7,10]=>[10,7,6,9,3,2,11,1,4,5,8]
[11,3,8,5,1,2,4,9,6,7,10]=>[10,7,6,9,4,2,1,5,8,3,11]
[7,11,5,1,6,2,9,3,4,8,10]=>[10,8,4,3,9,2,6,1,5,11,7]
[11,9,4,1,6,7,2,3,5,8,10]=>[10,8,5,3,2,7,6,1,4,9,11]
[7,3,11,6,1,2,9,4,5,8,10]=>[10,8,5,4,9,2,1,6,11,3,7]
[11,9,4,5,1,7,2,3,6,8,10]=>[10,8,6,3,2,7,1,5,4,9,11]
[11,3,9,5,7,1,2,4,6,8,10]=>[10,8,6,4,2,1,7,5,9,3,11]
[10,11,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,11,10]
[6,7,5,4,3,2,1,8,9,10,11]=>[11,10,9,8,1,2,3,4,5,7,6]
[7,6,5,4,3,1,2,8,9,10,11]=>[11,10,9,8,2,1,3,4,5,6,7]
[9,11,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,11,9]
[4,3,1,6,2,8,5,10,7,11,9]=>[9,11,7,10,5,8,2,6,1,3,4]
[6,3,1,5,2,8,4,10,7,11,9]=>[9,11,7,10,4,8,2,5,1,3,6]
[8,3,1,5,2,7,4,10,6,11,9]=>[9,11,6,10,4,7,2,5,1,3,8]
[10,3,1,5,2,7,4,9,6,11,8]=>[8,11,6,9,4,7,2,5,1,3,10]
[11,3,1,5,2,7,4,9,6,8,10]=>[10,8,6,9,4,7,2,5,1,3,11]
[9,3,1,5,2,7,4,6,11,8,10]=>[10,8,11,6,4,7,2,5,1,3,9]
[7,3,1,5,2,4,9,6,11,8,10]=>[10,8,11,6,9,4,2,5,1,3,7]
[5,3,1,2,7,4,9,6,11,8,10]=>[10,8,11,6,9,4,7,2,1,3,5]
[3,1,5,2,7,4,9,6,11,8,10]=>[10,8,11,6,9,4,7,2,5,1,3]
[2,1,11,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,11,1,2]
[11,10,9,8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8,9,10,11]
[11,10,9,8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8,9,10,11]
[10,1,2,3,4,5,6,11,7,8,9]=>[9,8,7,11,6,5,4,3,2,1,10]
[10,1,2,3,11,4,5,6,7,8,9]=>[9,8,7,6,5,4,11,3,2,1,10]
[1,10,2,3,4,5,6,7,8,11,9]=>[9,11,8,7,6,5,4,3,2,10,1]
[2,1,11,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,11,1,2]
[11,10,8,9,5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5,9,8,10,11]
[11,9,10,6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6,10,9,11]
[1,3,4,5,6,7,8,9,2,11,10]=>[10,11,2,9,8,7,6,5,4,3,1]
[1,3,4,5,6,7,8,2,10,11,9]=>[9,11,10,2,8,7,6,5,4,3,1]
[11,2,3,4,5,6,1,8,9,10,7]=>[7,10,9,8,1,6,5,4,3,2,11]
[1,3,4,5,6,2,8,9,10,11,7]=>[7,11,10,9,8,2,6,5,4,3,1]
[1,3,4,5,2,7,8,9,10,11,6]=>[6,11,10,9,8,7,2,5,4,3,1]
[11,2,3,1,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,1,3,2,11]
[1,3,2,5,6,7,8,9,10,11,4]=>[4,11,10,9,8,7,6,5,2,3,1]
[1,2,4,5,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,5,4,2,1]
[8,9,1,2,3,4,5,6,10,11,7]=>[7,11,10,6,5,4,3,2,1,9,8]
[11,7,1,2,3,4,5,9,10,6,8]=>[8,6,10,9,5,4,3,2,1,7,11]
[11,6,1,2,3,4,10,9,5,7,8]=>[8,7,5,9,10,4,3,2,1,6,11]
[5,10,1,2,3,11,9,4,6,7,8]=>[8,7,6,4,9,11,3,2,1,10,5]
[9,4,1,2,10,11,3,5,6,7,8]=>[8,7,6,5,3,11,10,2,1,4,9]
[11,3,1,9,10,2,4,5,6,7,8]=>[8,7,6,5,4,2,10,9,1,3,11]
[2,11,10,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,10,11,2]
[11,10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10,11]
[1,10,9,8,7,6,5,4,3,2,11]=>[11,2,3,4,5,6,7,8,9,10,1]
[2,3,4,5,6,7,8,9,1,11,10]=>[10,11,1,9,8,7,6,5,4,3,2]
[3,4,1,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,1,4,3]
[1,3,4,5,6,7,8,9,11,2,10]=>[10,2,11,9,8,7,6,5,4,3,1]
[1,4,2,5,6,7,8,9,11,10,3]=>[3,10,11,9,8,7,6,5,2,4,1]
[1,2,10,3,4,5,6,7,8,11,9]=>[9,11,8,7,6,5,4,3,10,2,1]
[1,2,3,4,5,10,6,7,8,11,9]=>[9,11,8,7,6,10,5,4,3,2,1]
[10,9,8,7,6,5,4,2,1,3,11]=>[11,3,1,2,4,5,6,7,8,9,10]
[10,9,8,7,6,5,3,2,1,4,11]=>[11,4,1,2,3,5,6,7,8,9,10]
[10,9,8,7,5,4,3,2,1,6,11]=>[11,6,1,2,3,4,5,7,8,9,10]
[10,9,8,6,5,4,3,2,1,7,11]=>[11,7,1,2,3,4,5,6,8,9,10]
[10,8,7,6,5,4,3,2,1,9,11]=>[11,9,1,2,3,4,5,6,7,8,10]
[11,9,8,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,8,9,11]
[9,1,2,3,4,5,6,7,8,11,10]=>[10,11,8,7,6,5,4,3,2,1,9]
[11,3,1,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,1,3,11]
[10,11,1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1,11,10]
[9,10,11,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,11,10,9]
[8,9,10,11,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,11,10,9,8]
[7,8,9,10,11,2,3,4,5,6,1]=>[1,6,5,4,3,2,11,10,9,8,7]
[6,7,8,9,10,11,2,3,4,5,1]=>[1,5,4,3,2,11,10,9,8,7,6]
[5,6,7,8,9,10,11,2,3,1,4]=>[4,1,3,2,11,10,9,8,7,6,5]
[4,5,6,7,8,9,10,11,2,3,1]=>[1,3,2,11,10,9,8,7,6,5,4]
[3,11,4,5,6,7,8,9,2,1,10]=>[10,1,2,9,8,7,6,5,4,11,3]
[4,1,11,5,6,7,8,9,10,3,2]=>[2,3,10,9,8,7,6,5,11,1,4]
[1,3,2,5,6,4,8,11,10,9,7]=>[7,9,10,11,8,4,6,5,2,3,1]
[2,4,3,6,7,5,9,11,10,8,1]=>[1,8,10,11,9,5,7,6,3,4,2]
[11,9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9,11]
[11,10,7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7,10,11]
[11,10,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,10,11]
[11,10,9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9,10,11]
[11,10,9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9,10,11]
[10,11,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,11,10]
[11,10,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,10,11]
[9,10,11,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,11,10,9]
[11,9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9,11]
[10,8,11,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,11,8,10]
[10,8,6,5,4,3,2,1,11,9,7]=>[7,9,11,1,2,3,4,5,6,8,10]
[10,8,6,11,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,11,6,8,10]
[11,9,7,5,10,8,6,4,3,2,1]=>[1,2,3,4,6,8,10,5,7,9,11]
[11,9,7,5,3,2,1,10,8,6,4]=>[4,6,8,10,1,2,3,5,7,9,11]
[11,9,7,5,3,10,8,6,4,2,1]=>[1,2,4,6,8,10,3,5,7,9,11]
[10,8,6,4,2,11,9,7,5,3,1]=>[1,3,5,7,9,11,2,4,6,8,10]
[5,6,7,8,9,11,1,2,3,4,10]=>[10,4,3,2,1,11,9,8,7,6,5]
[6,1,7,8,9,10,11,2,3,4,5]=>[5,4,3,2,11,10,9,8,7,1,6]
[9,10,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,10,9]
[9,8,7,6,10,5,4,3,2,1,11]=>[11,1,2,3,4,5,10,6,7,8,9]
[9,8,7,6,5,4,3,10,2,1,11]=>[11,1,2,10,3,4,5,6,7,8,9]
[2,1,4,5,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,5,4,1,2]
[3,4,5,6,7,8,9,11,1,10,2]=>[2,10,1,11,9,8,7,6,5,4,3]
[3,4,5,6,8,9,10,11,1,7,2]=>[2,7,1,11,10,9,8,6,5,4,3]
[3,5,6,7,8,9,10,11,1,4,2]=>[2,4,1,11,10,9,8,7,6,5,3]
[11,10,9,4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4,9,10,11]
[11,2,10,9,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,9,10,2,11]
[10,2,3,4,5,6,7,8,9,11,1]=>[1,11,9,8,7,6,5,4,3,2,10]
[2,10,4,5,6,7,8,9,1,11,3]=>[3,11,1,9,8,7,6,5,4,10,2]
[4,3,11,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,11,3,4]
[8,11,1,2,3,4,5,9,10,6,7]=>[7,6,10,9,5,4,3,2,1,11,8]
[10,11,1,2,3,4,8,9,5,6,7]=>[7,6,5,9,8,4,3,2,1,11,10]
[10,11,1,2,3,9,8,4,5,6,7]=>[7,6,5,4,8,9,3,2,1,11,10]
[10,9,1,2,11,8,3,4,5,6,7]=>[7,6,5,4,3,8,11,2,1,9,10]
[9,8,1,10,11,2,3,4,5,6,7]=>[7,6,5,4,3,2,11,10,1,8,9]
[11,8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8,11]
[2,3,4,5,6,7,11,9,10,1,8]=>[8,1,10,9,11,7,6,5,4,3,2]
[2,3,4,5,6,11,8,9,10,1,7]=>[7,1,10,9,8,11,6,5,4,3,2]
[2,3,4,5,11,7,8,9,10,1,6]=>[6,1,10,9,8,7,11,5,4,3,2]
[2,3,4,11,6,7,8,9,10,1,5]=>[5,1,10,9,8,7,6,11,4,3,2]
[2,3,11,5,6,7,8,9,10,1,4]=>[4,1,10,9,8,7,6,5,11,3,2]
[5,6,7,8,9,11,10,4,3,2,1]=>[1,2,3,4,10,11,9,8,7,6,5]
[6,5,7,8,9,10,11,4,3,2,1]=>[1,2,3,4,11,10,9,8,7,5,6]
[3,4,5,6,7,8,10,11,9,1,2]=>[2,1,9,11,10,8,7,6,5,4,3]
[3,4,5,6,7,9,10,11,8,1,2]=>[2,1,8,11,10,9,7,6,5,4,3]
[3,4,5,7,8,9,10,11,6,1,2]=>[2,1,6,11,10,9,8,7,5,4,3]
[3,4,6,7,8,9,10,11,5,1,2]=>[2,1,5,11,10,9,8,7,6,4,3]
[4,5,6,7,8,9,10,11,3,1,2]=>[2,1,3,11,10,9,8,7,6,5,4]
[4,5,6,7,8,9,10,11,2,1,3]=>[3,1,2,11,10,9,8,7,6,5,4]
[11,10,3,4,5,6,7,9,8,2,1]=>[1,2,8,9,7,6,5,4,3,10,11]
[11,10,4,3,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,3,4,10,11]
[2,3,4,5,6,7,8,1,11,10,9]=>[9,10,11,1,8,7,6,5,4,3,2]
[2,3,4,5,6,7,1,8,11,10,9]=>[9,10,11,8,1,7,6,5,4,3,2]
[2,3,4,5,7,1,6,8,11,9,10]=>[10,9,11,8,6,1,7,5,4,3,2]
[2,3,4,5,1,6,7,8,11,10,9]=>[9,10,11,8,7,6,1,5,4,3,2]
[2,3,4,1,5,6,7,8,11,10,9]=>[9,10,11,8,7,6,5,1,4,3,2]
[2,4,1,3,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,3,1,4,2]
[2,1,3,4,5,6,7,8,11,10,9]=>[9,10,11,8,7,6,5,4,3,1,2]
[9,1,2,3,4,5,6,7,10,11,8]=>[8,11,10,7,6,5,4,3,2,1,9]
[11,9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9,11]
[10,11,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,11,10]
[1,2,3,4,5,6,7,9,11,8,10]=>[10,8,11,9,7,6,5,4,3,2,1]
[1,2,3,4,5,7,9,11,6,8,10]=>[10,8,6,11,9,7,5,4,3,2,1]
[1,2,3,4,6,8,10,5,7,9,11]=>[11,9,7,5,10,8,6,4,3,2,1]
[1,2,4,6,8,10,3,5,7,9,11]=>[11,9,7,5,3,10,8,6,4,2,1]
[1,3,5,7,9,11,2,4,6,8,10]=>[10,8,6,4,2,11,9,7,5,3,1]
[10,8,6,4,2,1,3,5,7,9,11]=>[11,9,7,5,3,1,2,4,6,8,10]
[1,11,9,7,5,3,2,4,6,8,10]=>[10,8,6,4,2,3,5,7,9,11,1]
[8,9,11,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,11,9,8]
[3,1,2,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,2,1,3]
[11,3,2,10,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,10,2,3,11]
[4,3,11,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,11,3,4]
[11,10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10,11]
[11,10,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,10,11]
[2,1,3,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,3,1,2]
[1,3,2,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,2,3,1]
[1,2,4,3,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,3,4,2,1]
[1,2,3,5,4,6,7,8,11,9,10]=>[10,9,11,8,7,6,4,5,3,2,1]
[1,2,3,4,6,5,7,8,9,11,10]=>[10,11,9,8,7,5,6,4,3,2,1]
[1,2,3,4,5,7,6,8,9,11,10]=>[10,11,9,8,6,7,5,4,3,2,1]
[1,2,3,4,5,6,8,7,11,9,10]=>[10,9,11,7,8,6,5,4,3,2,1]
[1,2,3,4,5,6,7,9,8,11,10]=>[10,11,8,9,7,6,5,4,3,2,1]
[1,3,4,5,6,7,8,9,11,10,2]=>[2,10,11,9,8,7,6,5,4,3,1]
[1,2,4,5,6,7,8,9,11,10,3]=>[3,10,11,9,8,7,6,5,4,2,1]
[1,2,3,5,6,7,8,10,11,4,9]=>[9,4,11,10,8,7,6,5,3,2,1]
[1,2,3,4,6,7,8,9,11,10,5]=>[5,10,11,9,8,7,6,4,3,2,1]
[1,2,3,4,5,7,8,9,11,10,6]=>[6,10,11,9,8,7,5,4,3,2,1]
[1,2,3,4,5,6,8,10,11,7,9]=>[9,7,11,10,8,6,5,4,3,2,1]
[1,2,3,4,5,6,7,9,11,10,8]=>[8,10,11,9,7,6,5,4,3,2,1]
[9,10,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,10,9]
[5,1,2,3,6,7,8,9,10,11,4]=>[4,11,10,9,8,7,6,3,2,1,5]
[6,1,2,3,4,7,8,9,10,11,5]=>[5,11,10,9,8,7,4,3,2,1,6]
[7,1,2,3,4,5,8,9,10,11,6]=>[6,11,10,9,8,5,4,3,2,1,7]
[8,1,2,3,4,5,6,9,10,11,7]=>[7,11,10,9,6,5,4,3,2,1,8]
[11,5,6,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,6,5,11]
[3,1,11,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,11,1,3]
[4,1,2,11,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,11,2,1,4]
[5,1,2,3,11,4,6,7,8,9,10]=>[10,9,8,7,6,4,11,3,2,1,5]
[6,1,2,3,4,11,5,7,8,9,10]=>[10,9,8,7,5,11,4,3,2,1,6]
[8,1,2,3,4,5,6,11,7,9,10]=>[10,9,7,11,6,5,4,3,2,1,8]
[9,1,2,3,4,5,6,7,11,8,10]=>[10,8,11,7,6,5,4,3,2,1,9]
[11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11]
[10,11,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,11,10]
[10,9,8,7,6,2,5,3,4,1,11]=>[11,1,4,3,5,2,6,7,8,9,10]
[10,9,8,7,6,1,5,2,4,3,11]=>[11,3,4,2,5,1,6,7,8,9,10]
[11,2,3,4,5,6,7,8,10,1,9]=>[9,1,10,8,7,6,5,4,3,2,11]
[11,2,3,4,5,6,7,10,9,1,8]=>[8,1,9,10,7,6,5,4,3,2,11]
[11,2,3,4,5,10,7,8,9,1,6]=>[6,1,9,8,7,10,5,4,3,2,11]
[11,2,3,4,10,6,7,8,9,1,5]=>[5,1,9,8,7,6,10,4,3,2,11]
[11,2,10,4,5,6,7,8,9,1,3]=>[3,1,9,8,7,6,5,4,10,2,11]
[11,10,3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3,10,11]
[4,5,6,7,2,8,9,10,11,1,3]=>[3,1,11,10,9,8,2,7,6,5,4]
[4,5,6,7,8,9,10,2,11,1,3]=>[3,1,11,2,10,9,8,7,6,5,4]
[8,11,3,5,7,10,1,2,4,6,9]=>[9,6,4,2,1,10,7,5,3,11,8]
[11,10,3,5,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,5,3,10,11]
[5,8,11,4,7,10,1,2,3,6,9]=>[9,6,3,2,1,10,7,4,11,8,5]
[11,7,10,4,6,9,1,2,3,5,8]=>[8,5,3,2,1,9,6,4,10,7,11]
[11,10,9,4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4,9,10,11]
[7,11,6,10,5,9,1,2,3,4,8]=>[8,4,3,2,1,9,5,10,6,11,7]
[11,10,6,9,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,9,6,10,11]
[5,8,11,2,4,7,10,1,3,6,9]=>[9,6,3,1,10,7,4,2,11,8,5]
[11,7,10,2,4,6,9,1,3,5,8]=>[8,5,3,1,9,6,4,2,10,7,11]
[11,10,9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9,10,11]
[11,4,7,10,3,6,9,1,2,5,8]=>[8,5,2,1,9,6,3,10,7,4,11]
[7,11,6,10,3,5,9,1,2,4,8]=>[8,4,2,1,9,5,3,10,6,11,7]
[11,10,6,9,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,9,6,10,11]
[11,6,10,5,9,4,8,1,2,3,7]=>[7,3,2,1,8,4,9,5,10,6,11]
[7,11,3,6,10,2,5,9,1,4,8]=>[8,4,1,9,5,2,10,6,3,11,7]
[11,10,3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3,10,11]
[11,6,10,5,9,2,4,8,1,3,7]=>[7,3,1,8,4,2,9,5,10,6,11]
[4,1,5,6,7,8,9,10,11,2,3]=>[3,2,11,10,9,8,7,6,5,1,4]
[2,3,4,5,6,10,7,11,8,9,1]=>[1,9,8,11,7,10,6,5,4,3,2]
[11,3,4,5,6,7,8,10,9,2,1]=>[1,2,9,10,8,7,6,5,4,3,11]
[11,2,4,5,6,7,8,9,1,10,3]=>[3,10,1,9,8,7,6,5,4,2,11]
[2,3,10,5,6,7,8,9,1,11,4]=>[4,11,1,9,8,7,6,5,10,3,2]
[2,3,9,5,6,7,8,1,10,11,4]=>[4,11,10,1,8,7,6,5,9,3,2]
[2,3,4,9,6,7,8,1,10,11,5]=>[5,11,10,1,8,7,6,9,4,3,2]
[2,3,4,8,6,7,1,9,10,11,5]=>[5,11,10,9,1,7,6,8,4,3,2]
[2,3,4,5,8,7,1,9,10,11,6]=>[6,11,10,9,1,7,8,5,4,3,2]
[3,11,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,11,3]
[1,4,5,6,7,8,9,10,11,3,2]=>[2,3,11,10,9,8,7,6,5,4,1]
[9,8,11,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,11,8,9]
[7,6,8,5,9,4,10,3,11,1,2]=>[2,1,11,3,10,4,9,5,8,6,7]
[7,6,8,5,9,4,10,3,11,2,1]=>[1,2,11,3,10,4,9,5,8,6,7]
[1,10,9,8,7,6,5,4,3,11,2]=>[2,11,3,4,5,6,7,8,9,10,1]
[6,5,7,4,8,3,11,2,9,1,10]=>[10,1,9,2,11,3,8,4,7,5,6]
[6,5,7,4,10,3,8,2,9,1,11]=>[11,1,9,2,8,3,10,4,7,5,6]
[6,5,10,4,7,3,8,2,9,1,11]=>[11,1,9,2,8,3,7,4,10,5,6]
[5,10,6,4,7,3,8,2,9,1,11]=>[11,1,9,2,8,3,7,4,6,10,5]
[5,6,4,10,7,3,8,2,9,1,11]=>[11,1,9,2,8,3,7,10,4,6,5]
[5,6,4,7,3,11,8,2,9,1,10]=>[10,1,9,2,8,11,3,7,4,6,5]
[5,6,4,7,3,8,2,10,9,1,11]=>[11,1,9,10,2,8,3,7,4,6,5]
[5,6,4,7,3,8,2,9,1,10,11]=>[11,10,1,9,2,8,3,7,4,6,5]
[1,9,2,11,10,3,8,4,7,5,6]=>[6,5,7,4,8,3,10,11,2,9,1]
[1,9,2,8,3,10,4,7,5,6,11]=>[11,6,5,7,4,10,3,8,2,9,1]
[1,9,2,8,3,7,4,10,5,6,11]=>[11,6,5,10,4,7,3,8,2,9,1]
[1,9,2,8,3,7,4,6,5,11,10]=>[10,11,5,6,4,7,3,8,2,9,1]
[1,9,2,8,3,7,4,6,10,5,11]=>[11,5,10,6,4,7,3,8,2,9,1]
[1,9,2,8,3,7,10,4,6,5,11]=>[11,5,6,4,10,7,3,8,2,9,1]
[1,9,2,8,11,10,3,7,4,6,5]=>[5,6,4,7,3,10,11,8,2,9,1]
[1,9,10,2,8,3,7,4,6,5,11]=>[11,5,6,4,7,3,8,2,10,9,1]
[1,9,2,8,3,7,4,6,5,10,11]=>[11,10,5,6,4,7,3,8,2,9,1]
[11,1,2,5,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,5,2,1,11]
[11,1,5,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,5,1,11]
[11,10,1,2,3,4,8,5,6,7,9]=>[9,7,6,5,8,4,3,2,1,10,11]
[10,7,1,2,3,4,11,5,6,8,9]=>[9,8,6,5,11,4,3,2,1,7,10]
[10,6,1,2,3,4,11,5,7,8,9]=>[9,8,7,5,11,4,3,2,1,6,10]
[3,2,11,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,11,2,3]
[1,4,11,3,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,3,11,4,1]
[1,5,11,3,4,2,6,7,8,9,10]=>[10,9,8,7,6,2,4,3,11,5,1]
[6,2,11,3,4,5,1,7,8,9,10]=>[10,9,8,7,1,5,4,3,11,2,6]
[1,7,11,3,4,5,6,2,8,9,10]=>[10,9,8,2,6,5,4,3,11,7,1]
[1,8,11,3,4,5,6,7,2,9,10]=>[10,9,2,7,6,5,4,3,11,8,1]
[9,2,11,3,4,5,6,7,8,1,10]=>[10,1,8,7,6,5,4,3,11,2,9]
[1,10,11,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,11,10,1]
[1,2,11,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,11,2,1]
[6,5,7,4,8,3,9,2,11,10,1]=>[1,10,11,2,9,3,8,4,7,5,6]
[6,5,7,4,8,3,9,2,11,1,10]=>[10,1,11,2,9,3,8,4,7,5,6]
[3,11,10,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,10,11,3]
[10,9,8,11,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,11,8,9,10]
[10,9,8,7,1,11,6,5,4,3,2]=>[2,3,4,5,6,11,1,7,8,9,10]
[10,9,8,7,6,11,5,4,3,2,1]=>[1,2,3,4,5,11,6,7,8,9,10]
[10,9,8,7,6,5,11,4,3,2,1]=>[1,2,3,4,11,5,6,7,8,9,10]
[10,9,8,7,6,5,4,1,11,3,2]=>[2,3,11,1,4,5,6,7,8,9,10]
[10,9,8,7,6,5,4,3,11,2,1]=>[1,2,11,3,4,5,6,7,8,9,10]
[1,11,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,11,1]
[9,8,7,11,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,11,7,8,9]
[9,8,7,6,5,11,4,3,2,1,10]=>[10,1,2,3,4,11,5,6,7,8,9]
[9,8,7,6,5,4,11,3,2,1,10]=>[10,1,2,3,11,4,5,6,7,8,9]
[9,8,7,6,5,4,3,2,11,1,10]=>[10,1,11,2,3,4,5,6,7,8,9]
[2,1,10,9,8,7,6,5,4,3,11]=>[11,3,4,5,6,7,8,9,10,1,2]
[8,1,7,9,10,11,2,3,4,5,6]=>[6,5,4,3,2,11,10,9,7,1,8]
[7,2,8,9,10,11,1,3,4,6,5]=>[5,6,4,3,1,11,10,9,8,2,7]
[2,7,1,8,9,10,3,4,5,6,11]=>[11,6,5,4,3,10,9,8,1,7,2]
[2,7,3,8,9,10,1,4,5,6,11]=>[11,6,5,4,1,10,9,8,3,7,2]
[6,5,7,4,8,3,11,10,1,9,2]=>[2,9,1,10,11,3,8,4,7,5,6]
[1,6,5,7,4,8,3,10,11,2,9]=>[9,2,11,10,3,8,4,7,5,6,1]
[1,6,5,7,4,8,3,10,11,9,2]=>[2,9,11,10,3,8,4,7,5,6,1]
[5,4,1,2,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,2,1,4,5]
[5,6,1,2,3,7,8,9,10,11,4]=>[4,11,10,9,8,7,3,2,1,6,5]
[7,6,1,2,3,4,8,9,10,11,5]=>[5,11,10,9,8,4,3,2,1,6,7]
[8,7,1,2,3,4,5,9,10,11,6]=>[6,11,10,9,5,4,3,2,1,7,8]
[4,3,5,6,7,8,9,10,11,2,1]=>[1,2,11,10,9,8,7,6,5,3,4]
[6,7,5,8,4,9,3,10,1,11,2]=>[2,11,1,10,3,9,4,8,5,7,6]
[6,7,5,8,4,9,3,11,2,10,1]=>[1,10,2,11,3,9,4,8,5,7,6]
[3,2,1,10,9,8,7,6,5,4,11]=>[11,4,5,6,7,8,9,10,1,2,3]
[4,3,2,1,10,9,8,7,6,11,5]=>[5,11,6,7,8,9,10,1,2,3,4]
[5,4,3,2,1,10,9,8,7,6,11]=>[11,6,7,8,9,10,1,2,3,4,5]
[6,5,4,3,2,1,10,9,8,7,11]=>[11,7,8,9,10,1,2,3,4,5,6]
[7,6,5,4,3,2,1,10,9,11,8]=>[8,11,9,10,1,2,3,4,5,6,7]
[8,7,6,5,4,3,2,1,10,9,11]=>[11,9,10,1,2,3,4,5,6,7,8]
[11,10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10,11]
[2,3,4,5,6,7,8,11,9,1,10]=>[10,1,9,11,8,7,6,5,4,3,2]
[1,10,4,5,6,7,8,9,3,11,2]=>[2,11,3,9,8,7,6,5,4,10,1]
[1,3,4,5,6,7,8,11,10,2,9]=>[9,2,10,11,8,7,6,5,4,3,1]
[11,9,10,7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7,10,9,11]
[10,8,9,6,5,7,3,1,2,4,11]=>[11,4,2,1,3,7,5,6,9,8,10]
[1,3,5,7,9,10,8,6,4,2,11]=>[11,2,4,6,8,10,9,7,5,3,1]
[1,2,4,6,8,10,11,9,7,5,3]=>[3,5,7,9,11,10,8,6,4,2,1]
[10,11,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,11,10]
[10,9,8,7,6,5,4,1,3,11,2]=>[2,11,3,1,4,5,6,7,8,9,10]
[9,11,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,11,9]
[9,10,8,7,6,5,4,2,11,3,1]=>[1,3,11,2,4,5,6,7,8,10,9]
[11,9,4,5,6,7,8,1,2,3,10]=>[10,3,2,1,8,7,6,5,4,9,11]
[9,11,8,5,6,7,1,2,3,4,10]=>[10,4,3,2,1,7,6,5,8,11,9]
[8,9,11,7,6,1,2,3,4,5,10]=>[10,5,4,3,2,1,6,7,11,9,8]
[7,8,9,11,1,2,3,4,5,6,10]=>[10,6,5,4,3,2,1,11,9,8,7]
[3,11,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,11,3]
[3,4,11,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,11,4,3]
[2,11,10,9,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,9,10,11,2]
[11,1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1,11]
[11,10,1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1,10,11]
[11,10,9,8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8,9,10,11]
[11,10,9,8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8,9,10,11]
[11,10,9,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,9,10,11]
[11,10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10,11]
[1,11,10,9,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,9,10,11,1]
[1,9,8,7,6,5,4,10,3,11,2]=>[2,11,3,10,4,5,6,7,8,9,1]
[1,8,7,6,5,4,9,3,11,2,10]=>[10,2,11,3,9,4,5,6,7,8,1]
[1,8,7,6,5,9,4,11,3,10,2]=>[2,10,3,11,4,9,5,6,7,8,1]
[1,11,10,9,5,8,4,7,3,6,2]=>[2,6,3,7,4,8,5,9,10,11,1]
[1,11,10,5,9,4,8,3,7,2,6]=>[6,2,7,3,8,4,9,5,10,11,1]
[1,11,6,10,5,9,4,8,3,7,2]=>[2,7,3,8,4,9,5,10,6,11,1]
[1,7,6,11,5,10,4,9,3,8,2]=>[2,8,3,9,4,10,5,11,6,7,1]
[11,1,2,3,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,3,2,1,11]
[11,1,2,3,4,5,6,8,7,9,10]=>[10,9,7,8,6,5,4,3,2,1,11]
[11,10,2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2,10,11]
[9,2,11,3,4,5,6,7,8,10,1]=>[1,10,8,7,6,5,4,3,11,2,9]
[1,4,5,6,7,8,9,10,11,2,3]=>[3,2,11,10,9,8,7,6,5,4,1]
[11,1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1,11]
[11,1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1,11]
[1,11,2,3,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,3,2,11,1]
[7,6,8,9,11,1,2,3,4,5,10]=>[10,5,4,3,2,1,11,9,8,6,7]
[7,8,6,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,6,8,7]
[7,8,9,6,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,6,9,8,7]
[7,8,9,11,6,1,2,3,4,5,10]=>[10,5,4,3,2,1,6,11,9,8,7]
[5,7,8,9,10,6,1,2,3,4,11]=>[11,4,3,2,1,6,10,9,8,7,5]
[5,6,8,9,10,1,7,2,3,4,11]=>[11,4,3,2,7,1,10,9,8,6,5]
[5,6,7,9,11,1,2,8,3,4,10]=>[10,4,3,8,2,1,11,9,7,6,5]
[5,6,7,8,10,1,2,3,9,4,11]=>[11,4,9,3,2,1,10,8,7,6,5]
[5,6,7,8,9,1,2,3,4,10,11]=>[11,10,4,3,2,1,9,8,7,6,5]
[7,6,8,5,9,4,11,3,10,1,2]=>[2,1,10,3,11,4,9,5,8,6,7]
[1,7,6,8,5,11,3,10,4,9,2]=>[2,9,4,10,3,11,5,8,6,7,1]
[1,7,6,11,3,10,4,9,5,8,2]=>[2,8,5,9,4,10,3,11,6,7,1]
[11,3,10,4,9,5,8,6,7,1,2]=>[2,1,7,6,8,5,9,4,10,3,11]
[1,7,11,3,10,4,9,5,8,6,2]=>[2,6,8,5,9,4,10,3,11,7,1]
[1,7,8,6,11,3,10,4,9,5,2]=>[2,5,9,4,10,3,11,6,8,7,1]
[7,8,6,9,5,11,3,10,4,1,2]=>[2,1,4,10,3,11,5,9,6,8,7]
[1,7,8,6,9,5,10,4,11,3,2]=>[2,3,11,4,10,5,9,6,8,7,1]
[1,2,7,8,6,9,5,10,4,11,3]=>[3,11,4,10,5,9,6,8,7,2,1]
[2,1,4,5,6,7,8,9,11,10,3]=>[3,10,11,9,8,7,6,5,4,1,2]
[10,9,8,7,6,2,5,1,4,3,11]=>[11,3,4,1,5,2,6,7,8,9,10]
[10,9,8,7,6,3,5,2,4,1,11]=>[11,1,4,2,5,3,6,7,8,9,10]
[4,2,1,5,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,5,1,2,4]
[1,5,4,2,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,2,4,5,1]
[1,6,4,5,2,7,8,9,10,11,3]=>[3,11,10,9,8,7,2,5,4,6,1]
[7,2,4,5,6,1,8,9,10,11,3]=>[3,11,10,9,8,1,6,5,4,2,7]
[1,8,4,5,6,7,2,9,10,11,3]=>[3,11,10,9,2,7,6,5,4,8,1]
[1,9,4,5,6,7,8,2,10,11,3]=>[3,11,10,2,8,7,6,5,4,9,1]
[10,2,4,5,6,7,8,9,1,11,3]=>[3,11,1,9,8,7,6,5,4,2,10]
[1,11,4,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,4,11,1]
[2,3,4,5,6,7,9,10,8,11,1]=>[1,11,8,10,9,7,6,5,4,3,2]
[2,3,4,5,6,7,10,8,11,9,1]=>[1,9,11,8,10,7,6,5,4,3,2]
[10,11,2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2,11,10]
[9,1,10,3,4,5,6,7,8,2,11]=>[11,2,8,7,6,5,4,3,10,1,9]
[10,3,2,1,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,1,2,3,10]
[10,2,11,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,11,2,10]
[1,11,9,10,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,10,9,11,1]
[1,9,2,11,10,3,4,5,6,7,8]=>[8,7,6,5,4,3,10,11,2,9,1]
[9,2,11,10,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,10,11,2,9]
[9,3,11,10,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,10,11,3,9]
[4,10,11,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,11,10,4]
[9,5,11,10,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,10,11,5,9]
[9,6,11,10,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,10,11,6,9]
[7,10,11,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,11,10,7]
[9,8,11,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,11,8,9]
[10,9,8,7,6,5,4,3,1,2,11]=>[11,2,1,3,4,5,6,7,8,9,10]
[6,5,7,4,8,3,9,1,11,10,2]=>[2,10,11,1,9,3,8,4,7,5,6]
[1,10,11,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,11,10,1]
[1,2,9,11,3,8,4,7,5,6,10]=>[10,6,5,7,4,8,3,11,9,2,1]
[1,2,11,9,3,8,4,7,5,6,10]=>[10,6,5,7,4,8,3,9,11,2,1]
[9,11,2,3,4,5,6,7,8,1,10]=>[10,1,8,7,6,5,4,3,2,11,9]
[6,7,8,9,10,11,1,2,3,5,4]=>[4,5,3,2,1,11,10,9,8,7,6]
[7,6,8,9,10,11,1,2,3,4,5]=>[5,4,3,2,1,11,10,9,8,6,7]
[2,11,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,11,2]
[1,2,10,9,8,7,6,5,4,3,11]=>[11,3,4,5,6,7,8,9,10,2,1]
[1,9,8,7,6,5,4,3,2,10,11]=>[11,10,2,3,4,5,6,7,8,9,1]
[2,10,9,8,7,6,5,4,1,3,11]=>[11,3,1,4,5,6,7,8,9,10,2]
[11,10,1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1,10,11]
[3,4,5,1,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,1,5,4,3]
[3,4,5,6,7,1,8,9,10,11,2]=>[2,11,10,9,8,1,7,6,5,4,3]
[3,4,5,6,7,8,1,9,10,11,2]=>[2,11,10,9,1,8,7,6,5,4,3]
[7,6,5,4,3,2,11,8,10,1,9]=>[9,1,10,8,11,2,3,4,5,6,7]
[8,7,6,5,4,3,11,9,10,1,2]=>[2,1,10,9,11,3,4,5,6,7,8]
[9,2,3,4,5,6,7,8,11,10,1]=>[1,10,11,8,7,6,5,4,3,2,9]
[8,2,3,4,5,6,7,11,9,10,1]=>[1,10,9,11,7,6,5,4,3,2,8]
[6,2,3,4,5,11,7,8,9,10,1]=>[1,10,9,8,7,11,5,4,3,2,6]
[5,2,3,4,11,6,7,8,9,10,1]=>[1,10,9,8,7,6,11,4,3,2,5]
[3,2,11,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,11,2,3]
[11,4,3,2,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,2,3,4,11]
[11,5,3,4,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,4,3,5,11]
[6,11,3,4,5,1,7,8,9,10,2]=>[2,10,9,8,7,1,5,4,3,11,6]
[11,7,3,4,5,6,2,8,9,10,1]=>[1,10,9,8,2,6,5,4,3,7,11]
[11,8,3,4,5,6,7,2,9,10,1]=>[1,10,9,2,7,6,5,4,3,8,11]
[9,11,3,4,5,6,7,8,1,10,2]=>[2,10,1,8,7,6,5,4,3,11,9]
[2,3,4,6,5,7,8,9,10,11,1]=>[1,11,10,9,8,7,5,6,4,3,2]
[2,3,4,5,6,7,9,8,10,11,1]=>[1,11,10,8,9,7,6,5,4,3,2]
[8,10,7,6,5,4,3,2,1,11,9]=>[9,11,1,2,3,4,5,6,7,10,8]
[8,1,2,3,4,5,6,7,11,10,9]=>[9,10,11,7,6,5,4,3,2,1,8]
[7,1,2,3,4,5,6,8,11,10,9]=>[9,10,11,8,6,5,4,3,2,1,7]
[6,1,2,3,4,7,5,8,10,11,9]=>[9,11,10,8,5,7,4,3,2,1,6]
[5,1,2,3,4,6,7,8,11,10,9]=>[9,10,11,8,7,6,4,3,2,1,5]
[4,1,2,3,5,6,7,8,11,10,9]=>[9,10,11,8,7,6,5,3,2,1,4]
[3,1,4,2,5,6,7,8,10,11,9]=>[9,11,10,8,7,6,5,2,4,1,3]
[1,4,2,5,3,7,6,9,8,11,10]=>[10,11,8,9,6,7,3,5,2,4,1]
[1,4,2,6,3,7,5,9,8,11,10]=>[10,11,8,9,5,7,3,6,2,4,1]
[1,4,2,6,3,8,5,9,7,11,10]=>[10,11,7,9,5,8,3,6,2,4,1]
[1,4,2,6,3,8,5,10,7,11,9]=>[9,11,7,10,5,8,3,6,2,4,1]
[1,4,2,6,3,8,5,10,7,9,11]=>[11,9,7,10,5,8,3,6,2,4,1]
[1,4,2,6,3,8,5,7,10,9,11]=>[11,9,10,7,5,8,3,6,2,4,1]
[1,4,2,6,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,6,2,4,1]
[1,4,2,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,2,4,1]
[2,3,4,5,6,7,8,9,1,10,11]=>[11,10,1,9,8,7,6,5,4,3,2]
[7,2,8,9,10,11,1,3,4,5,6]=>[6,5,4,3,1,11,10,9,8,2,7]
[7,1,8,9,10,11,2,3,4,5,6]=>[6,5,4,3,2,11,10,9,8,1,7]
[7,6,8,5,9,4,10,2,1,11,3]=>[3,11,1,2,10,4,9,5,8,6,7]
[1,7,6,8,5,9,2,10,4,11,3]=>[3,11,4,10,2,9,5,8,6,7,1]
[1,7,6,8,2,9,5,10,4,11,3]=>[3,11,4,10,5,9,2,8,6,7,1]
[7,2,1,8,6,9,5,10,4,11,3]=>[3,11,4,10,5,9,6,8,1,2,7]
[1,7,8,2,6,9,5,10,4,11,3]=>[3,11,4,10,5,9,6,2,8,7,1]
[1,7,8,6,9,2,5,10,4,11,3]=>[3,11,4,10,5,2,9,6,8,7,1]
[7,8,6,9,5,10,2,1,4,11,3]=>[3,11,4,1,2,10,5,9,6,8,7]
[1,7,8,6,9,5,10,4,11,2,3]=>[3,2,11,4,10,5,9,6,8,7,1]
[2,3,4,5,6,11,8,9,10,7,1]=>[1,7,10,9,8,11,6,5,4,3,2]
[2,3,11,5,6,7,8,9,10,4,1]=>[1,4,10,9,8,7,6,5,11,3,2]
[1,2,11,3,10,4,9,5,6,8,7]=>[7,8,6,5,9,4,10,3,11,2,1]
[1,2,11,3,10,4,5,9,6,8,7]=>[7,8,6,9,5,4,10,3,11,2,1]
[1,2,11,3,4,10,5,9,6,8,7]=>[7,8,6,9,5,10,4,3,11,2,1]
[1,2,3,11,4,10,5,9,6,8,7]=>[7,8,6,9,5,10,4,11,3,2,1]
[1,10,2,11,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,11,2,10,1]
[1,11,2,10,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,10,2,11,1]
[1,4,5,2,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,2,5,4,1]
[1,4,5,6,2,7,8,9,10,11,3]=>[3,11,10,9,8,7,2,6,5,4,1]
[4,2,5,6,7,1,8,9,10,11,3]=>[3,11,10,9,8,1,7,6,5,2,4]
[1,4,5,6,7,8,2,9,10,11,3]=>[3,11,10,9,2,8,7,6,5,4,1]
[1,4,5,6,7,8,9,2,10,11,3]=>[3,11,10,2,9,8,7,6,5,4,1]
[4,2,5,6,7,8,9,10,1,11,3]=>[3,11,1,10,9,8,7,6,5,2,4]
[6,7,8,9,11,1,2,3,4,5,10]=>[10,5,4,3,2,1,11,9,8,7,6]
[6,7,8,9,11,1,2,3,4,10,5]=>[5,10,4,3,2,1,11,9,8,7,6]
[4,5,6,7,8,9,2,11,1,10,3]=>[3,10,1,11,2,9,8,7,6,5,4]
[2,1,3,4,5,6,7,8,10,9,11]=>[11,9,10,8,7,6,5,4,3,1,2]
[2,1,3,4,5,6,7,9,8,10,11]=>[11,10,8,9,7,6,5,4,3,1,2]
[3,1,2,4,5,6,8,7,9,10,11]=>[11,10,9,7,8,6,5,4,2,1,3]
[2,1,3,4,5,7,6,8,9,10,11]=>[11,10,9,8,6,7,5,4,3,1,2]
[2,1,3,4,6,5,7,8,9,10,11]=>[11,10,9,8,7,5,6,4,3,1,2]
[3,1,2,5,4,6,7,8,9,10,11]=>[11,10,9,8,7,6,4,5,2,1,3]
[2,1,4,3,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,3,4,1,2]
[6,7,8,9,11,1,2,3,5,10,4]=>[4,10,5,3,2,1,11,9,8,7,6]
[1,6,7,8,10,2,3,4,9,11,5]=>[5,11,9,4,3,2,10,8,7,6,1]
[1,6,7,8,10,2,3,4,5,11,9]=>[9,11,5,4,3,2,10,8,7,6,1]
[10,3,4,5,6,7,8,9,11,1,2]=>[2,1,11,9,8,7,6,5,4,3,10]
[2,10,4,5,6,7,8,9,1,3,11]=>[11,3,1,9,8,7,6,5,4,10,2]
[4,3,2,5,6,7,8,9,10,1,11]=>[11,1,10,9,8,7,6,5,2,3,4]
[11,3,10,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,10,3,11]
[11,10,4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4,10,11]
[6,10,11,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,11,10,6]
[10,7,11,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,11,7,10]
[2,3,10,11,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,11,10,3,2]
[11,3,4,1,10,2,5,6,7,8,9]=>[9,8,7,6,5,2,10,1,4,3,11]
[11,5,4,1,2,10,3,6,7,8,9]=>[9,8,7,6,3,10,2,1,4,5,11]
[6,10,5,1,2,3,11,4,7,8,9]=>[9,8,7,4,11,3,2,1,5,10,6]
[6,7,11,1,2,3,4,10,5,8,9]=>[9,8,5,10,4,3,2,1,11,7,6]
[11,7,8,1,2,3,4,5,10,6,9]=>[9,6,10,5,4,3,2,1,8,7,11]
[10,9,8,1,2,3,4,5,6,11,7]=>[7,11,6,5,4,3,2,1,8,9,10]
[10,9,8,7,6,5,2,4,1,3,11]=>[11,3,1,4,2,5,6,7,8,9,10]
[10,9,8,7,6,5,3,2,4,1,11]=>[11,1,4,2,3,5,6,7,8,9,10]
[10,3,1,2,4,5,6,7,8,11,9]=>[9,11,8,7,6,5,4,2,1,3,10]
[11,9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9,11]
[11,10,8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8,10,11]
[11,10,9,7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7,9,10,11]
[11,10,9,8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8,9,10,11]
[11,10,9,8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8,9,10,11]
[11,10,9,8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8,9,10,11]
[11,10,9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9,10,11]
[4,2,11,10,9,8,7,6,5,3,1]=>[1,3,5,6,7,8,9,10,11,2,4]
[5,3,1,11,10,9,8,7,6,4,2]=>[2,4,6,7,8,9,10,11,1,3,5]
[6,4,2,11,10,9,8,7,5,3,1]=>[1,3,5,7,8,9,10,11,2,4,6]
[11,10,9,8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8,9,10,11]
[11,10,9,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,9,10,11]
[11,10,8,6,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,6,8,10,11]
[10,9,8,7,6,4,3,2,1,5,11]=>[11,5,1,2,3,4,6,7,8,9,10]
[10,9,7,6,5,4,3,2,1,8,11]=>[11,8,1,2,3,4,5,6,7,9,10]
[2,4,1,11,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,11,1,4,2]
[3,1,5,2,11,4,6,7,8,9,10]=>[10,9,8,7,6,4,11,2,5,1,3]
[2,4,1,6,3,11,5,7,8,9,10]=>[10,9,8,7,5,11,3,6,1,4,2]
[3,1,5,2,7,4,11,6,8,9,10]=>[10,9,8,6,11,4,7,2,5,1,3]
[2,4,1,6,3,8,5,11,7,9,10]=>[10,9,7,11,5,8,3,6,1,4,2]
[11,1,2,3,4,5,7,9,6,8,10]=>[10,8,6,9,7,5,4,3,2,1,11]
[11,9,1,2,3,4,5,7,10,6,8]=>[8,6,10,7,5,4,3,2,1,9,11]
[4,5,2,6,7,8,9,10,11,1,3]=>[3,1,11,10,9,8,7,6,2,5,4]
[4,5,6,1,7,8,9,10,11,2,3]=>[3,2,11,10,9,8,7,1,6,5,4]
[4,5,6,7,8,2,9,10,11,1,3]=>[3,1,11,10,9,2,8,7,6,5,4]
[4,5,6,7,8,9,1,10,11,2,3]=>[3,2,11,10,1,9,8,7,6,5,4]
[11,2,3,4,5,6,7,8,1,10,9]=>[9,10,1,8,7,6,5,4,3,2,11]
[11,2,3,4,5,6,7,1,9,10,8]=>[8,10,9,1,7,6,5,4,3,2,11]
[7,2,3,4,5,6,11,8,9,10,1]=>[1,10,9,8,11,6,5,4,3,2,7]
[11,2,3,4,5,1,7,8,9,10,6]=>[6,10,9,8,7,1,5,4,3,2,11]
[11,2,3,4,1,6,7,8,9,10,5]=>[5,10,9,8,7,6,1,4,3,2,11]
[4,2,3,11,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,11,3,2,4]
[11,2,1,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,1,2,11]
[2,4,1,6,3,8,5,11,10,7,9]=>[9,7,10,11,5,8,3,6,1,4,2]
[2,4,1,6,3,11,8,5,10,7,9]=>[9,7,10,5,8,11,3,6,1,4,2]
[2,4,1,11,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,11,1,4,2]
[2,11,4,1,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,1,4,11,2]
[11,1,4,2,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,2,4,1,11]
[3,1,11,2,6,4,8,5,10,7,9]=>[9,7,10,5,8,4,6,2,11,1,3]
[3,1,5,2,11,4,8,6,10,7,9]=>[9,7,10,6,8,4,11,2,5,1,3]
[3,1,5,2,7,4,11,6,10,8,9]=>[9,8,10,6,11,4,7,2,5,1,3]
[1,4,2,3,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,3,2,4,1]
[1,2,5,3,4,6,7,8,9,11,10]=>[10,11,9,8,7,6,4,3,5,2,1]
[1,2,3,4,7,5,6,8,9,11,10]=>[10,11,9,8,6,5,7,4,3,2,1]
[1,2,3,4,5,8,6,7,9,11,10]=>[10,11,9,7,6,8,5,4,3,2,1]
[1,2,3,4,5,6,7,10,8,11,9]=>[9,11,8,10,7,6,5,4,3,2,1]
[1,7,8,9,10,11,2,3,6,4,5]=>[5,4,6,3,2,11,10,9,8,7,1]
[1,7,8,9,10,11,2,6,3,4,5]=>[5,4,3,6,2,11,10,9,8,7,1]
[7,2,8,9,10,11,6,1,3,4,5]=>[5,4,3,1,6,11,10,9,8,2,7]
[1,7,8,9,10,5,11,2,3,4,6]=>[6,4,3,2,11,5,10,9,8,7,1]
[1,7,8,9,4,10,11,2,3,5,6]=>[6,5,3,2,11,10,4,9,8,7,1]
[7,2,8,3,9,10,11,1,4,5,6]=>[6,5,4,1,11,10,9,3,8,2,7]
[1,7,2,8,9,10,11,3,4,5,6]=>[6,5,4,3,11,10,9,8,2,7,1]
[1,2,7,8,9,10,11,3,4,5,6]=>[6,5,4,3,11,10,9,8,7,2,1]
[2,3,4,5,6,7,10,9,8,1,11]=>[11,1,8,9,10,7,6,5,4,3,2]
[2,3,4,5,6,10,8,9,7,1,11]=>[11,1,7,9,8,10,6,5,4,3,2]
[2,3,4,5,11,7,8,9,6,1,10]=>[10,1,6,9,8,7,11,5,4,3,2]
[2,3,4,10,6,7,8,9,5,1,11]=>[11,1,5,9,8,7,6,10,4,3,2]
[2,3,10,5,6,7,8,9,4,1,11]=>[11,1,4,9,8,7,6,5,10,3,2]
[2,11,4,5,6,7,8,9,3,1,10]=>[10,1,3,9,8,7,6,5,4,11,2]
[10,3,4,5,6,7,8,9,2,1,11]=>[11,1,2,9,8,7,6,5,4,3,10]
[1,3,2,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,2,3,1]
[1,2,4,3,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,3,4,2,1]
[1,2,3,5,4,6,7,8,9,11,10]=>[10,11,9,8,7,6,4,5,3,2,1]
[1,2,3,4,6,5,7,8,11,9,10]=>[10,9,11,8,7,5,6,4,3,2,1]
[1,2,3,4,5,7,6,8,11,9,10]=>[10,9,11,8,6,7,5,4,3,2,1]
[1,2,3,4,5,6,8,7,9,11,10]=>[10,11,9,7,8,6,5,4,3,2,1]
[11,2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2,11]
[9,8,7,6,5,4,11,3,10,1,2]=>[2,1,10,3,11,4,5,6,7,8,9]
[11,8,7,6,5,1,4,3,10,2,9]=>[9,2,10,3,4,1,5,6,7,8,11]
[3,4,5,6,7,8,9,11,10,1,2]=>[2,1,10,11,9,8,7,6,5,4,3]
[2,4,5,6,7,8,9,10,1,3,11]=>[11,3,1,10,9,8,7,6,5,4,2]
[11,1,2,3,4,5,6,9,7,8,10]=>[10,8,7,9,6,5,4,3,2,1,11]
[11,2,1,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,1,2,11]
[10,11,1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1,11,10]
[10,1,2,3,4,5,6,7,9,11,8]=>[8,11,9,7,6,5,4,3,2,1,10]
[1,11,9,3,4,5,6,7,8,2,10]=>[10,2,8,7,6,5,4,3,9,11,1]
[1,10,2,3,4,5,6,7,11,9,8]=>[8,9,11,7,6,5,4,3,2,10,1]
[4,5,1,6,7,8,9,10,11,2,3]=>[3,2,11,10,9,8,7,6,1,5,4]
[4,5,6,7,1,8,9,10,11,2,3]=>[3,2,11,10,9,8,1,7,6,5,4]
[4,5,6,7,8,1,9,10,11,2,3]=>[3,2,11,10,9,1,8,7,6,5,4]
[4,5,6,7,8,9,10,1,11,2,3]=>[3,2,11,1,10,9,8,7,6,5,4]
[6,7,5,8,4,9,3,11,1,10,2]=>[2,10,1,11,3,9,4,8,5,7,6]
[11,10,9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9,10,11]
[8,7,6,5,4,3,11,2,10,1,9]=>[9,1,10,2,11,3,4,5,6,7,8]
[11,10,9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9,10,11]
[11,10,9,8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8,9,10,11]
[7,6,5,11,4,10,3,9,2,8,1]=>[1,8,2,9,3,10,4,11,5,6,7]
[11,10,5,9,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,9,5,10,11]
[11,5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5,11]
[10,3,2,9,8,7,6,5,4,1,11]=>[11,1,4,5,6,7,8,9,2,3,10]
[10,2,9,8,7,6,5,4,3,1,11]=>[11,1,3,4,5,6,7,8,9,2,10]
[11,4,5,6,7,8,9,10,1,2,3]=>[3,2,1,10,9,8,7,6,5,4,11]
[10,5,6,7,8,9,11,1,2,3,4]=>[4,3,2,1,11,9,8,7,6,5,10]
[11,6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6,11]
[11,7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7,11]
[10,8,9,11,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,11,9,8,10]
[11,9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9,11]
[4,1,11,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,11,1,4]
[6,1,11,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,11,1,6]
[7,1,11,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,11,1,7]
[11,1,8,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,8,1,11]
[9,1,11,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,11,1,9]
[1,11,10,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,10,11,1]
[1,5,3,2,11,10,9,8,7,6,4]=>[4,6,7,8,9,10,11,2,3,5,1]
[1,11,10,9,8,7,5,3,2,6,4]=>[4,6,2,3,5,7,8,9,10,11,1]
[1,11,10,9,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,9,10,11,1]
[1,8,6,4,2,11,10,9,7,5,3]=>[3,5,7,9,10,11,2,4,6,8,1]
[1,11,10,8,6,4,2,9,7,5,3]=>[3,5,7,9,2,4,6,8,10,11,1]
[10,8,11,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,11,8,10]
[10,1,2,3,4,5,6,8,11,7,9]=>[9,7,11,8,6,5,4,3,2,1,10]
[10,6,8,11,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,11,8,6,10]
[11,1,2,3,4,6,8,10,5,7,9]=>[9,7,5,10,8,6,4,3,2,1,11]
[11,4,6,8,10,1,2,3,5,7,9]=>[9,7,5,3,2,1,10,8,6,4,11]
[11,1,2,4,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,4,2,1,11]
[10,2,4,6,8,11,1,3,5,7,9]=>[9,7,5,3,1,11,8,6,4,2,10]
[3,1,5,2,6,4,8,7,10,9,11]=>[11,9,10,7,8,4,6,2,5,1,3]
[2,6,4,1,3,8,5,10,7,11,9]=>[9,11,7,10,5,8,3,1,4,6,2]
[2,8,4,1,6,3,5,10,7,11,9]=>[9,11,7,10,5,3,6,1,4,8,2]
[2,10,4,1,6,3,8,5,7,11,9]=>[9,11,7,5,8,3,6,1,4,10,2]
[2,9,4,1,6,3,8,5,11,7,10]=>[10,7,11,5,8,3,6,1,4,9,2]
[2,7,4,1,6,3,9,5,11,8,10]=>[10,8,11,5,9,3,6,1,4,7,2]
[2,5,4,1,7,3,9,6,11,8,10]=>[10,8,11,6,9,3,7,1,4,5,2]
[2,3,5,1,7,4,9,6,11,8,10]=>[10,8,11,6,9,4,7,1,5,3,2]
[11,10,2,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,2,10,11]
[11,10,9,8,7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7,8,9,10,11]
[3,4,6,7,8,9,10,11,1,5,2]=>[2,5,1,11,10,9,8,7,6,4,3]
[1,5,3,4,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,4,3,5,1]
[1,6,3,4,5,7,8,9,10,11,2]=>[2,11,10,9,8,7,5,4,3,6,1]
[6,1,3,4,5,7,8,9,10,11,2]=>[2,11,10,9,8,7,5,4,3,1,6]
[1,8,3,4,5,6,7,9,10,11,2]=>[2,11,10,9,7,6,5,4,3,8,1]
[1,9,3,4,5,6,7,8,10,11,2]=>[2,11,10,8,7,6,5,4,3,9,1]
[9,1,3,4,5,6,7,8,10,11,2]=>[2,11,10,8,7,6,5,4,3,1,9]
[11,2,3,4,5,6,7,10,1,8,9]=>[9,8,1,10,7,6,5,4,3,2,11]
[1,3,4,5,6,7,11,2,8,9,10]=>[10,9,8,2,11,7,6,5,4,3,1]
[11,2,3,4,5,10,1,6,7,8,9]=>[9,8,7,6,1,10,5,4,3,2,11]
[11,2,3,4,10,1,5,6,7,8,9]=>[9,8,7,6,5,1,10,4,3,2,11]
[1,3,4,11,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,11,4,3,1]
[11,2,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,2,11]
[11,3,1,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,1,3,11]
[11,4,1,10,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,10,1,4,11]
[5,11,1,10,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,10,1,11,5]
[11,6,1,10,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,10,1,6,11]
[11,7,1,10,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,10,1,7,11]
[8,11,1,10,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,10,1,11,8]
[11,9,1,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,1,9,11]
[10,2,3,4,5,6,7,8,11,9,1]=>[1,9,11,8,7,6,5,4,3,2,10]
[9,2,3,4,5,6,7,10,11,8,1]=>[1,8,11,10,7,6,5,4,3,2,9]
[2,3,4,5,6,1,8,9,10,11,7]=>[7,11,10,9,8,1,6,5,4,3,2]
[7,2,3,4,5,8,9,10,11,6,1]=>[1,6,11,10,9,8,5,4,3,2,7]
[6,2,3,4,7,8,9,10,11,5,1]=>[1,5,11,10,9,8,7,4,3,2,6]
[2,3,1,5,6,7,8,9,10,11,4]=>[4,11,10,9,8,7,6,5,1,3,2]
[4,2,5,6,7,8,9,10,11,3,1]=>[1,3,11,10,9,8,7,6,5,2,4]
[10,9,8,7,11,6,4,3,2,1,5]=>[5,1,2,3,4,6,11,7,8,9,10]
[10,9,8,7,5,6,4,3,2,1,11]=>[11,1,2,3,4,6,5,7,8,9,10]
[10,9,8,6,5,4,7,3,2,1,11]=>[11,1,2,3,7,4,5,6,8,9,10]
[10,9,7,6,5,4,3,11,2,1,8]=>[8,1,2,11,3,4,5,6,7,9,10]
[10,8,7,6,5,4,3,2,9,1,11]=>[11,1,9,2,3,4,5,6,7,8,10]
[10,1,2,3,4,5,6,9,8,7,11]=>[11,7,8,9,6,5,4,3,2,1,10]
[10,1,2,3,4,5,9,7,8,6,11]=>[11,6,8,7,9,5,4,3,2,1,10]
[10,1,2,3,4,9,6,7,8,11,5]=>[5,11,8,7,6,9,4,3,2,1,10]
[10,1,2,3,9,5,6,7,8,4,11]=>[11,4,8,7,6,5,9,3,2,1,10]
[10,1,2,9,4,5,6,7,8,3,11]=>[11,3,8,7,6,5,4,9,2,1,10]
[10,1,9,3,4,5,6,7,8,11,2]=>[2,11,8,7,6,5,4,3,9,1,10]
[10,9,2,3,4,5,6,7,8,1,11]=>[11,1,8,7,6,5,4,3,2,9,10]
[9,1,2,3,4,5,6,7,8,10,11]=>[11,10,8,7,6,5,4,3,2,1,9]
[1,9,2,3,4,5,6,7,8,11,10]=>[10,11,8,7,6,5,4,3,2,9,1]
[1,8,2,3,4,5,6,7,11,9,10]=>[10,9,11,7,6,5,4,3,2,8,1]
[1,6,2,3,4,5,11,7,8,9,10]=>[10,9,8,7,11,5,4,3,2,6,1]
[1,5,2,3,4,11,6,7,8,9,10]=>[10,9,8,7,6,11,4,3,2,5,1]
[1,3,2,11,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,11,2,3,1]
[3,11,1,5,6,7,8,9,10,2,4]=>[4,2,10,9,8,7,6,5,1,11,3]
[3,6,2,5,8,10,1,4,7,9,11]=>[11,9,7,4,1,10,8,5,2,6,3]
[4,3,2,6,8,10,1,5,7,9,11]=>[11,9,7,5,1,10,8,6,2,3,4]
[3,6,9,2,5,8,1,4,7,10,11]=>[11,10,7,4,1,8,5,2,9,6,3]
[4,3,7,2,6,9,1,5,8,10,11]=>[11,10,8,5,1,9,6,2,7,3,4]
[5,4,3,2,7,9,1,6,8,10,11]=>[11,10,8,6,1,9,7,2,3,4,5]
[4,8,3,7,2,6,1,5,9,10,11]=>[11,10,9,5,1,6,2,7,3,8,4]
[5,4,3,8,2,7,1,6,9,10,11]=>[11,10,9,6,1,7,2,8,3,4,5]
[3,6,9,2,5,8,11,1,4,7,10]=>[10,7,4,1,11,8,5,2,9,6,3]
[4,3,7,2,6,9,11,1,5,8,10]=>[10,8,5,1,11,9,6,2,7,3,4]
[5,4,3,2,7,9,11,1,6,8,10]=>[10,8,6,1,11,9,7,2,3,4,5]
[4,3,7,10,2,6,9,1,5,8,11]=>[11,8,5,1,9,6,2,10,7,3,4]
[4,8,3,7,2,6,10,1,5,9,11]=>[11,9,5,1,10,6,2,7,3,8,4]
[5,4,3,8,2,7,10,1,6,9,11]=>[11,9,6,1,10,7,2,8,3,4,5]
[5,4,9,3,8,2,7,1,6,10,11]=>[11,10,6,1,7,2,8,3,9,4,5]
[4,8,3,7,11,2,6,10,1,5,9]=>[9,5,1,10,6,2,11,7,3,8,4]
[5,4,3,8,11,2,7,10,1,6,9]=>[9,6,1,10,7,2,11,8,3,4,5]
[5,4,9,3,8,2,7,11,1,6,10]=>[10,6,1,11,7,2,8,3,9,4,5]
[9,11,2,10,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,10,2,11,9]
[7,6,8,5,9,4,11,2,1,10,3]=>[3,10,1,2,11,4,9,5,8,6,7]
[2,7,6,8,5,9,4,10,3,1,11]=>[11,1,3,10,4,9,5,8,6,7,2]
[2,7,6,8,5,9,4,10,1,3,11]=>[11,3,1,10,4,9,5,8,6,7,2]
[10,3,4,11,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,11,4,3,10]
[10,11,4,5,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,5,4,11,10]
[10,11,6,5,1,2,3,4,7,8,9]=>[9,8,7,4,3,2,1,5,6,11,10]
[7,11,10,6,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,6,10,11,7]
[7,8,11,10,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,10,11,8,7]
[9,7,10,8,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,8,10,7,9]
[10,8,7,9,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,9,7,8,10]
[4,11,2,3,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,3,2,11,4]
[11,5,2,3,4,1,6,7,8,9,10]=>[10,9,8,7,6,1,4,3,2,5,11]
[6,11,2,3,4,5,1,7,8,9,10]=>[10,9,8,7,1,5,4,3,2,11,6]
[7,11,2,3,4,5,6,1,8,9,10]=>[10,9,8,1,6,5,4,3,2,11,7]
[11,8,2,3,4,5,6,7,1,9,10]=>[10,9,1,7,6,5,4,3,2,8,11]
[11,8,10,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,10,8,11]
[11,6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6,11]
[11,6,10,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,10,6,11]
[11,5,10,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,10,5,11]
[11,3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3,11]
[11,3,10,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,10,3,11]
[1,2,3,4,5,6,8,10,7,9,11]=>[11,9,7,10,8,6,5,4,3,2,1]
[1,2,3,5,7,9,11,4,6,8,10]=>[10,8,6,4,11,9,7,5,3,2,1]
[3,4,5,6,2,7,8,9,10,11,1]=>[1,11,10,9,8,7,2,6,5,4,3]
[3,4,5,6,7,8,9,2,10,11,1]=>[1,11,10,2,9,8,7,6,5,4,3]
[4,2,3,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,3,2,4]
[5,2,3,4,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,4,3,2,5]
[6,2,3,4,5,7,8,9,10,11,1]=>[1,11,10,9,8,7,5,4,3,2,6]
[7,2,3,4,5,6,8,9,10,11,1]=>[1,11,10,9,8,6,5,4,3,2,7]
[8,2,3,4,5,6,7,9,10,11,1]=>[1,11,10,9,7,6,5,4,3,2,8]
[9,2,3,4,5,6,7,8,10,11,1]=>[1,11,10,8,7,6,5,4,3,2,9]
[1,3,11,2,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,2,11,3,1]
[3,4,5,6,7,9,10,11,1,8,2]=>[2,8,1,11,10,9,7,6,5,4,3]
[1,11,10,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,10,11,1]
[8,9,7,10,5,6,11,3,4,2,1]=>[1,2,4,3,11,6,5,10,7,9,8]
[11,7,8,6,9,4,5,10,2,3,1]=>[1,3,2,10,5,4,9,6,8,7,11]
[6,5,7,4,10,1,9,2,8,3,11]=>[11,3,8,2,9,1,10,4,7,5,6]
[6,5,10,1,9,2,8,3,7,4,11]=>[11,4,7,3,8,2,9,1,10,5,6]
[5,10,1,9,2,8,3,7,4,6,11]=>[11,6,4,7,3,8,2,9,1,10,5]
[5,6,4,10,1,9,2,8,3,7,11]=>[11,7,3,8,2,9,1,10,4,6,5]
[5,6,4,7,3,11,10,1,9,2,8]=>[8,2,9,1,10,11,3,7,4,6,5]
[5,6,4,7,3,8,2,10,1,9,11]=>[11,9,1,10,2,8,3,7,4,6,5]
[11,9,1,2,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,2,1,9,11]
[10,9,1,3,4,5,6,7,8,11,2]=>[2,11,8,7,6,5,4,3,1,9,10]
[2,11,10,1,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,1,10,11,2]
[11,3,10,5,6,7,8,9,1,2,4]=>[4,2,1,9,8,7,6,5,10,3,11]
[8,11,1,2,3,4,5,6,7,10,9]=>[9,10,7,6,5,4,3,2,1,11,8]
[7,8,11,1,2,3,4,5,6,10,9]=>[9,10,6,5,4,3,2,1,11,8,7]
[6,7,10,1,2,3,4,5,8,11,9]=>[9,11,8,5,4,3,2,1,10,7,6]
[5,6,7,8,11,1,2,3,4,10,9]=>[9,10,4,3,2,1,11,8,7,6,5]
[4,5,6,7,8,11,1,2,3,10,9]=>[9,10,3,2,1,11,8,7,6,5,4]
[3,4,5,6,7,10,1,2,8,11,9]=>[9,11,8,2,1,10,7,6,5,4,3]
[2,3,4,5,6,7,8,11,1,10,9]=>[9,10,1,11,8,7,6,5,4,3,2]
[10,7,8,4,3,2,5,1,6,9,11]=>[11,9,6,1,5,2,3,4,8,7,10]
[10,7,8,4,3,5,2,6,9,11,1]=>[1,11,9,6,2,5,3,4,8,7,10]
[10,9,8,7,1,6,5,4,3,11,2]=>[2,11,3,4,5,6,1,7,8,9,10]
[10,1,9,8,7,6,5,4,3,11,2]=>[2,11,3,4,5,6,7,8,9,1,10]
[1,3,4,5,6,7,8,10,11,2,9]=>[9,2,11,10,8,7,6,5,4,3,1]
[1,10,3,11,2,4,9,5,8,6,7]=>[7,6,8,5,9,4,2,11,3,10,1]
[1,10,3,2,4,9,5,8,6,7,11]=>[11,7,6,8,5,9,4,2,3,10,1]
[1,3,10,2,4,9,5,8,6,7,11]=>[11,7,6,8,5,9,4,2,10,3,1]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,3,4,1,2]
[2,1,4,3,6,5,12,9,8,11,10,7]=>[7,10,11,8,9,12,5,6,3,4,1,2]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,3,4,1,2]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,3,4,1,2]
[2,1,4,3,10,7,6,9,8,5,12,11]=>[11,12,5,8,9,6,7,10,3,4,1,2]
[2,1,4,3,12,7,6,9,8,11,10,5]=>[5,10,11,8,9,6,7,12,3,4,1,2]
[2,1,4,3,12,7,6,11,10,9,8,5]=>[5,8,9,10,11,6,7,12,3,4,1,2]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]
[2,1,4,3,12,9,8,7,6,11,10,5]=>[5,10,11,6,7,8,9,12,3,4,1,2]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[5,6,9,10,7,8,11,12,3,4,1,2]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,5,6,1,2]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[9,10,11,12,7,8,3,4,5,6,1,2]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[11,12,7,8,9,10,3,4,5,6,1,2]
[2,1,6,5,4,3,12,9,8,11,10,7]=>[7,10,11,8,9,12,3,4,5,6,1,2]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[7,8,9,10,11,12,3,4,5,6,1,2]
[2,1,8,5,4,7,6,3,10,9,12,11]=>[11,12,9,10,3,6,7,4,5,8,1,2]
[2,1,8,5,4,7,6,3,12,11,10,9]=>[9,10,11,12,3,6,7,4,5,8,1,2]
[2,1,10,5,4,7,6,9,8,3,12,11]=>[11,12,3,8,9,6,7,4,5,10,1,2]
[2,1,12,5,4,7,6,9,8,11,10,3]=>[3,10,11,8,9,6,7,4,5,12,1,2]
[2,1,12,5,4,7,6,11,10,9,8,3]=>[3,8,9,10,11,6,7,4,5,12,1,2]
[2,1,10,5,4,9,8,7,6,3,12,11]=>[11,12,3,6,7,8,9,4,5,10,1,2]
[2,1,12,5,4,9,8,7,6,11,10,3]=>[3,10,11,6,7,8,9,4,5,12,1,2]
[2,1,12,5,4,11,8,7,10,9,6,3]=>[3,6,9,10,7,8,11,4,5,12,1,2]
[2,1,12,5,4,11,10,9,8,7,6,3]=>[3,6,7,8,9,10,11,4,5,12,1,2]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[9,10,11,12,3,4,5,6,7,8,1,2]
[2,1,10,7,6,5,4,9,8,3,12,11]=>[11,12,3,8,9,4,5,6,7,10,1,2]
[2,1,12,7,6,5,4,9,8,11,10,3]=>[3,10,11,8,9,4,5,6,7,12,1,2]
[2,1,12,7,6,5,4,11,10,9,8,3]=>[3,8,9,10,11,4,5,6,7,12,1,2]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[11,12,3,4,7,8,5,6,9,10,1,2]
[2,1,12,9,6,5,8,7,4,11,10,3]=>[3,10,11,4,7,8,5,6,9,12,1,2]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[3,4,9,10,7,8,5,6,11,12,1,2]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[3,4,7,8,9,10,5,6,11,12,1,2]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]
[2,1,12,9,8,7,6,5,4,11,10,3]=>[3,10,11,4,5,6,7,8,9,12,1,2]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[3,4,9,10,5,6,7,8,11,12,1,2]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[3,4,5,8,9,6,7,10,11,12,1,2]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,3,4]
[4,3,2,1,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,1,2,3,4]
[4,3,2,1,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,1,2,3,4]
[4,3,2,1,6,5,12,9,8,11,10,7]=>[7,10,11,8,9,12,5,6,1,2,3,4]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,1,2,3,4]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,1,2,3,4]
[4,3,2,1,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,1,2,3,4]
[4,3,2,1,10,7,6,9,8,5,12,11]=>[11,12,5,8,9,6,7,10,1,2,3,4]
[4,3,2,1,12,7,6,9,8,11,10,5]=>[5,10,11,8,9,6,7,12,1,2,3,4]
[4,3,2,1,12,7,6,11,10,9,8,5]=>[5,8,9,10,11,6,7,12,1,2,3,4]
[4,3,2,1,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,1,2,3,4]
[4,3,2,1,12,9,8,7,6,11,10,5]=>[5,10,11,6,7,8,9,12,1,2,3,4]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[5,6,9,10,7,8,11,12,1,2,3,4]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,1,2,3,4]
[6,3,2,5,4,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,4,5,2,3,6]
[6,3,2,5,4,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,4,5,2,3,6]
[6,3,2,5,4,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,4,5,2,3,6]
[6,3,2,5,4,1,12,9,8,11,10,7]=>[7,10,11,8,9,12,1,4,5,2,3,6]
[6,3,2,5,4,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,4,5,2,3,6]
[8,3,2,5,4,7,6,1,10,9,12,11]=>[11,12,9,10,1,6,7,4,5,2,3,8]
[8,3,2,5,4,7,6,1,12,11,10,9]=>[9,10,11,12,1,6,7,4,5,2,3,8]
[10,3,2,5,4,7,6,9,8,1,12,11]=>[11,12,1,8,9,6,7,4,5,2,3,10]
[12,3,2,5,4,7,6,9,8,11,10,1]=>[1,10,11,8,9,6,7,4,5,2,3,12]
[12,3,2,5,4,7,6,11,10,9,8,1]=>[1,8,9,10,11,6,7,4,5,2,3,12]
[10,3,2,5,4,9,8,7,6,1,12,11]=>[11,12,1,6,7,8,9,4,5,2,3,10]
[12,3,2,5,4,9,8,7,6,11,10,1]=>[1,10,11,6,7,8,9,4,5,2,3,12]
[12,3,2,5,4,11,8,7,10,9,6,1]=>[1,6,9,10,7,8,11,4,5,2,3,12]
[12,3,2,5,4,11,10,9,8,7,6,1]=>[1,6,7,8,9,10,11,4,5,2,3,12]
[8,3,2,7,6,5,4,1,10,9,12,11]=>[11,12,9,10,1,4,5,6,7,2,3,8]
[8,3,2,7,6,5,4,1,12,11,10,9]=>[9,10,11,12,1,4,5,6,7,2,3,8]
[10,3,2,7,6,5,4,9,8,1,12,11]=>[11,12,1,8,9,4,5,6,7,2,3,10]
[12,3,2,7,6,5,4,9,8,11,10,1]=>[1,10,11,8,9,4,5,6,7,2,3,12]
[12,3,2,7,6,5,4,11,10,9,8,1]=>[1,8,9,10,11,4,5,6,7,2,3,12]
[10,3,2,9,6,5,8,7,4,1,12,11]=>[11,12,1,4,7,8,5,6,9,2,3,10]
[12,3,2,9,6,5,8,7,4,11,10,1]=>[1,10,11,4,7,8,5,6,9,2,3,12]
[12,3,2,11,6,5,8,7,10,9,4,1]=>[1,4,9,10,7,8,5,6,11,2,3,12]
[12,3,2,11,6,5,10,9,8,7,4,1]=>[1,4,7,8,9,10,5,6,11,2,3,12]
[10,3,2,9,8,7,6,5,4,1,12,11]=>[11,12,1,4,5,6,7,8,9,2,3,10]
[12,3,2,9,8,7,6,5,4,11,10,1]=>[1,10,11,4,5,6,7,8,9,2,3,12]
[12,3,2,11,8,7,6,5,10,9,4,1]=>[1,4,9,10,5,6,7,8,11,2,3,12]
[12,3,2,11,10,7,6,9,8,5,4,1]=>[1,4,5,8,9,6,7,10,11,2,3,12]
[12,3,2,11,10,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,10,11,2,3,12]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,2,3,4,5,6]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,2,3,4,5,6]
[6,5,4,3,2,1,12,9,8,11,10,7]=>[7,10,11,8,9,12,1,2,3,4,5,6]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]
[8,5,4,3,2,7,6,1,10,9,12,11]=>[11,12,9,10,1,6,7,2,3,4,5,8]
[8,5,4,3,2,7,6,1,12,11,10,9]=>[9,10,11,12,1,6,7,2,3,4,5,8]
[10,5,4,3,2,7,6,9,8,1,12,11]=>[11,12,1,8,9,6,7,2,3,4,5,10]
[12,5,4,3,2,7,6,9,8,11,10,1]=>[1,10,11,8,9,6,7,2,3,4,5,12]
[12,5,4,3,2,7,6,11,10,9,8,1]=>[1,8,9,10,11,6,7,2,3,4,5,12]
[10,5,4,3,2,9,8,7,6,1,12,11]=>[11,12,1,6,7,8,9,2,3,4,5,10]
[12,5,4,3,2,9,8,7,6,11,10,1]=>[1,10,11,6,7,8,9,2,3,4,5,12]
[12,5,4,3,2,11,8,7,10,9,6,1]=>[1,6,9,10,7,8,11,2,3,4,5,12]
[12,5,4,3,2,11,10,9,8,7,6,1]=>[1,6,7,8,9,10,11,2,3,4,5,12]
[8,7,4,3,6,5,2,1,10,9,12,11]=>[11,12,9,10,1,2,5,6,3,4,7,8]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[9,10,11,12,1,2,5,6,3,4,7,8]
[10,7,4,3,6,5,2,9,8,1,12,11]=>[11,12,1,8,9,2,5,6,3,4,7,10]
[12,7,4,3,6,5,2,9,8,11,10,1]=>[1,10,11,8,9,2,5,6,3,4,7,12]
[12,7,4,3,6,5,2,11,10,9,8,1]=>[1,8,9,10,11,2,5,6,3,4,7,12]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[11,12,1,2,7,8,5,6,3,4,9,10]
[12,9,4,3,6,5,8,7,2,11,10,1]=>[1,10,11,2,7,8,5,6,3,4,9,12]
[12,11,4,3,6,5,8,7,10,9,2,1]=>[1,2,9,10,7,8,5,6,3,4,11,12]
[12,11,4,3,6,5,10,9,8,7,2,1]=>[1,2,7,8,9,10,5,6,3,4,11,12]
[10,9,4,3,8,7,6,5,2,1,12,11]=>[11,12,1,2,5,6,7,8,3,4,9,10]
[12,9,4,3,8,7,6,5,2,11,10,1]=>[1,10,11,2,5,6,7,8,3,4,9,12]
[12,11,4,3,8,7,6,5,10,9,2,1]=>[1,2,9,10,5,6,7,8,3,4,11,12]
[12,11,4,3,10,7,6,9,8,5,2,1]=>[1,2,5,8,9,6,7,10,3,4,11,12]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,4,11,12]
[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,4,5,6,7,8]
[10,7,6,5,4,3,2,9,8,1,12,11]=>[11,12,1,8,9,2,3,4,5,6,7,10]
[12,7,6,5,4,3,2,9,8,11,10,1]=>[1,10,11,8,9,2,3,4,5,6,7,12]
[12,7,6,5,4,3,2,11,10,9,8,1]=>[1,8,9,10,11,2,3,4,5,6,7,12]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[11,12,1,2,7,8,3,4,5,6,9,10]
[12,9,6,5,4,3,8,7,2,11,10,1]=>[1,10,11,2,7,8,3,4,5,6,9,12]
[12,11,6,5,4,3,8,7,10,9,2,1]=>[1,2,9,10,7,8,3,4,5,6,11,12]
[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]
[10,9,8,5,4,7,6,3,2,1,12,11]=>[11,12,1,2,3,6,7,4,5,8,9,10]
[12,9,8,5,4,7,6,3,2,11,10,1]=>[1,10,11,2,3,6,7,4,5,8,9,12]
[12,11,8,5,4,7,6,3,10,9,2,1]=>[1,2,9,10,3,6,7,4,5,8,11,12]
[12,11,10,5,4,7,6,9,8,3,2,1]=>[1,2,3,8,9,6,7,4,5,10,11,12]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,4,5,10,11,12]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]
[12,9,8,7,6,5,4,3,2,11,10,1]=>[1,10,11,2,3,4,5,6,7,8,9,12]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[1,2,9,10,3,4,5,6,7,8,11,12]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[1,2,3,8,9,4,5,6,7,10,11,12]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]
[2,4,6,8,10,12,1,3,5,7,9,11]=>[11,9,7,5,3,1,12,10,8,6,4,2]
[2,4,6,8,11,12,1,3,5,7,9,10]=>[10,9,7,5,3,1,12,11,8,6,4,2]
[2,4,6,9,10,12,1,3,5,7,8,11]=>[11,8,7,5,3,1,12,10,9,6,4,2]
[2,4,6,9,11,12,1,3,5,7,8,10]=>[10,8,7,5,3,1,12,11,9,6,4,2]
[2,4,6,10,11,12,1,3,5,7,8,9]=>[9,8,7,5,3,1,12,11,10,6,4,2]
[2,4,7,8,10,12,1,3,5,6,9,11]=>[11,9,6,5,3,1,12,10,8,7,4,2]
[2,4,7,8,11,12,1,3,5,6,9,10]=>[10,9,6,5,3,1,12,11,8,7,4,2]
[2,4,7,9,10,12,1,3,5,6,8,11]=>[11,8,6,5,3,1,12,10,9,7,4,2]
[2,4,7,9,11,12,1,3,5,6,8,10]=>[10,8,6,5,3,1,12,11,9,7,4,2]
[2,4,7,10,11,12,1,3,5,6,8,9]=>[9,8,6,5,3,1,12,11,10,7,4,2]
[2,4,8,9,10,12,1,3,5,6,7,11]=>[11,7,6,5,3,1,12,10,9,8,4,2]
[2,4,8,9,11,12,1,3,5,6,7,10]=>[10,7,6,5,3,1,12,11,9,8,4,2]
[2,4,8,10,11,12,1,3,5,6,7,9]=>[9,7,6,5,3,1,12,11,10,8,4,2]
[2,4,9,10,11,12,1,3,5,6,7,8]=>[8,7,6,5,3,1,12,11,10,9,4,2]
[2,5,6,8,10,12,1,3,4,7,9,11]=>[11,9,7,4,3,1,12,10,8,6,5,2]
[2,5,6,8,11,12,1,3,4,7,9,10]=>[10,9,7,4,3,1,12,11,8,6,5,2]
[2,5,6,9,10,12,1,3,4,7,8,11]=>[11,8,7,4,3,1,12,10,9,6,5,2]
[2,5,6,9,11,12,1,3,4,7,8,10]=>[10,8,7,4,3,1,12,11,9,6,5,2]
[2,5,6,10,11,12,1,3,4,7,8,9]=>[9,8,7,4,3,1,12,11,10,6,5,2]
[2,5,7,8,10,12,1,3,4,6,9,11]=>[11,9,6,4,3,1,12,10,8,7,5,2]
[2,5,7,8,11,12,1,3,4,6,9,10]=>[10,9,6,4,3,1,12,11,8,7,5,2]
[2,5,7,9,10,12,1,3,4,6,8,11]=>[11,8,6,4,3,1,12,10,9,7,5,2]
[2,5,7,9,11,12,1,3,4,6,8,10]=>[10,8,6,4,3,1,12,11,9,7,5,2]
[2,5,7,10,11,12,1,3,4,6,8,9]=>[9,8,6,4,3,1,12,11,10,7,5,2]
[2,5,8,9,10,12,1,3,4,6,7,11]=>[11,7,6,4,3,1,12,10,9,8,5,2]
[2,5,8,9,11,12,1,3,4,6,7,10]=>[10,7,6,4,3,1,12,11,9,8,5,2]
[2,5,8,10,11,12,1,3,4,6,7,9]=>[9,7,6,4,3,1,12,11,10,8,5,2]
[2,5,9,10,11,12,1,3,4,6,7,8]=>[8,7,6,4,3,1,12,11,10,9,5,2]
[2,6,7,8,10,12,1,3,4,5,9,11]=>[11,9,5,4,3,1,12,10,8,7,6,2]
[2,6,7,8,11,12,1,3,4,5,9,10]=>[10,9,5,4,3,1,12,11,8,7,6,2]
[2,6,7,9,10,12,1,3,4,5,8,11]=>[11,8,5,4,3,1,12,10,9,7,6,2]
[2,6,7,9,11,12,1,3,4,5,8,10]=>[10,8,5,4,3,1,12,11,9,7,6,2]
[2,6,7,10,11,12,1,3,4,5,8,9]=>[9,8,5,4,3,1,12,11,10,7,6,2]
[2,6,8,9,10,12,1,3,4,5,7,11]=>[11,7,5,4,3,1,12,10,9,8,6,2]
[2,6,8,9,11,12,1,3,4,5,7,10]=>[10,7,5,4,3,1,12,11,9,8,6,2]
[2,6,8,10,11,12,1,3,4,5,7,9]=>[9,7,5,4,3,1,12,11,10,8,6,2]
[2,6,9,10,11,12,1,3,4,5,7,8]=>[8,7,5,4,3,1,12,11,10,9,6,2]
[2,7,8,9,10,12,1,3,4,5,6,11]=>[11,6,5,4,3,1,12,10,9,8,7,2]
[2,7,8,9,11,12,1,3,4,5,6,10]=>[10,6,5,4,3,1,12,11,9,8,7,2]
[2,7,8,10,11,12,1,3,4,5,6,9]=>[9,6,5,4,3,1,12,11,10,8,7,2]
[2,7,9,10,11,12,1,3,4,5,6,8]=>[8,6,5,4,3,1,12,11,10,9,7,2]
[2,8,9,10,11,12,1,3,4,5,6,7]=>[7,6,5,4,3,1,12,11,10,9,8,2]
[3,4,6,8,10,12,1,2,5,7,9,11]=>[11,9,7,5,2,1,12,10,8,6,4,3]
[3,4,6,8,11,12,1,2,5,7,9,10]=>[10,9,7,5,2,1,12,11,8,6,4,3]
[3,4,6,9,10,12,1,2,5,7,8,11]=>[11,8,7,5,2,1,12,10,9,6,4,3]
[3,4,6,9,11,12,1,2,5,7,8,10]=>[10,8,7,5,2,1,12,11,9,6,4,3]
[3,4,6,10,11,12,1,2,5,7,8,9]=>[9,8,7,5,2,1,12,11,10,6,4,3]
[3,4,7,8,10,12,1,2,5,6,9,11]=>[11,9,6,5,2,1,12,10,8,7,4,3]
[3,4,7,8,11,12,1,2,5,6,9,10]=>[10,9,6,5,2,1,12,11,8,7,4,3]
[3,4,7,9,10,12,1,2,5,6,8,11]=>[11,8,6,5,2,1,12,10,9,7,4,3]
[3,4,7,9,11,12,1,2,5,6,8,10]=>[10,8,6,5,2,1,12,11,9,7,4,3]
[3,4,7,10,11,12,1,2,5,6,8,9]=>[9,8,6,5,2,1,12,11,10,7,4,3]
[3,4,8,9,10,12,1,2,5,6,7,11]=>[11,7,6,5,2,1,12,10,9,8,4,3]
[3,4,8,9,11,12,1,2,5,6,7,10]=>[10,7,6,5,2,1,12,11,9,8,4,3]
[3,4,8,10,11,12,1,2,5,6,7,9]=>[9,7,6,5,2,1,12,11,10,8,4,3]
[3,4,9,10,11,12,1,2,5,6,7,8]=>[8,7,6,5,2,1,12,11,10,9,4,3]
[3,5,6,8,10,12,1,2,4,7,9,11]=>[11,9,7,4,2,1,12,10,8,6,5,3]
[3,5,6,8,11,12,1,2,4,7,9,10]=>[10,9,7,4,2,1,12,11,8,6,5,3]
[3,5,6,9,10,12,1,2,4,7,8,11]=>[11,8,7,4,2,1,12,10,9,6,5,3]
[3,5,6,9,11,12,1,2,4,7,8,10]=>[10,8,7,4,2,1,12,11,9,6,5,3]
[3,5,6,10,11,12,1,2,4,7,8,9]=>[9,8,7,4,2,1,12,11,10,6,5,3]
[3,5,7,8,10,12,1,2,4,6,9,11]=>[11,9,6,4,2,1,12,10,8,7,5,3]
[3,5,7,8,11,12,1,2,4,6,9,10]=>[10,9,6,4,2,1,12,11,8,7,5,3]
[3,5,7,9,10,12,1,2,4,6,8,11]=>[11,8,6,4,2,1,12,10,9,7,5,3]
[3,5,7,9,11,12,1,2,4,6,8,10]=>[10,8,6,4,2,1,12,11,9,7,5,3]
[3,5,7,10,11,12,1,2,4,6,8,9]=>[9,8,6,4,2,1,12,11,10,7,5,3]
[3,5,8,9,10,12,1,2,4,6,7,11]=>[11,7,6,4,2,1,12,10,9,8,5,3]
[3,5,8,9,11,12,1,2,4,6,7,10]=>[10,7,6,4,2,1,12,11,9,8,5,3]
[3,5,8,10,11,12,1,2,4,6,7,9]=>[9,7,6,4,2,1,12,11,10,8,5,3]
[3,5,9,10,11,12,1,2,4,6,7,8]=>[8,7,6,4,2,1,12,11,10,9,5,3]
[3,6,7,8,10,12,1,2,4,5,9,11]=>[11,9,5,4,2,1,12,10,8,7,6,3]
[3,6,7,8,11,12,1,2,4,5,9,10]=>[10,9,5,4,2,1,12,11,8,7,6,3]
[3,6,7,9,10,12,1,2,4,5,8,11]=>[11,8,5,4,2,1,12,10,9,7,6,3]
[3,6,7,9,11,12,1,2,4,5,8,10]=>[10,8,5,4,2,1,12,11,9,7,6,3]
[3,6,7,10,11,12,1,2,4,5,8,9]=>[9,8,5,4,2,1,12,11,10,7,6,3]
[3,6,8,9,10,12,1,2,4,5,7,11]=>[11,7,5,4,2,1,12,10,9,8,6,3]
[3,6,8,9,11,12,1,2,4,5,7,10]=>[10,7,5,4,2,1,12,11,9,8,6,3]
[3,6,8,10,11,12,1,2,4,5,7,9]=>[9,7,5,4,2,1,12,11,10,8,6,3]
[3,6,9,10,11,12,1,2,4,5,7,8]=>[8,7,5,4,2,1,12,11,10,9,6,3]
[3,7,8,9,10,12,1,2,4,5,6,11]=>[11,6,5,4,2,1,12,10,9,8,7,3]
[3,7,8,9,11,12,1,2,4,5,6,10]=>[10,6,5,4,2,1,12,11,9,8,7,3]
[3,7,8,10,11,12,1,2,4,5,6,9]=>[9,6,5,4,2,1,12,11,10,8,7,3]
[3,7,9,10,11,12,1,2,4,5,6,8]=>[8,6,5,4,2,1,12,11,10,9,7,3]
[3,8,9,10,11,12,1,2,4,5,6,7]=>[7,6,5,4,2,1,12,11,10,9,8,3]
[4,5,6,8,10,12,1,2,3,7,9,11]=>[11,9,7,3,2,1,12,10,8,6,5,4]
[4,5,6,8,11,12,1,2,3,7,9,10]=>[10,9,7,3,2,1,12,11,8,6,5,4]
[4,5,6,9,10,12,1,2,3,7,8,11]=>[11,8,7,3,2,1,12,10,9,6,5,4]
[4,5,6,9,11,12,1,2,3,7,8,10]=>[10,8,7,3,2,1,12,11,9,6,5,4]
[4,5,6,10,11,12,1,2,3,7,8,9]=>[9,8,7,3,2,1,12,11,10,6,5,4]
[4,5,7,8,10,12,1,2,3,6,9,11]=>[11,9,6,3,2,1,12,10,8,7,5,4]
[4,5,7,8,11,12,1,2,3,6,9,10]=>[10,9,6,3,2,1,12,11,8,7,5,4]
[4,5,7,9,10,12,1,2,3,6,8,11]=>[11,8,6,3,2,1,12,10,9,7,5,4]
[4,5,7,9,11,12,1,2,3,6,8,10]=>[10,8,6,3,2,1,12,11,9,7,5,4]
[4,5,7,10,11,12,1,2,3,6,8,9]=>[9,8,6,3,2,1,12,11,10,7,5,4]
[4,5,8,9,10,12,1,2,3,6,7,11]=>[11,7,6,3,2,1,12,10,9,8,5,4]
[4,5,8,9,11,12,1,2,3,6,7,10]=>[10,7,6,3,2,1,12,11,9,8,5,4]
[4,5,8,10,11,12,1,2,3,6,7,9]=>[9,7,6,3,2,1,12,11,10,8,5,4]
[4,5,9,10,11,12,1,2,3,6,7,8]=>[8,7,6,3,2,1,12,11,10,9,5,4]
[4,6,7,8,10,12,1,2,3,5,9,11]=>[11,9,5,3,2,1,12,10,8,7,6,4]
[4,6,7,8,11,12,1,2,3,5,9,10]=>[10,9,5,3,2,1,12,11,8,7,6,4]
[4,6,7,9,10,12,1,2,3,5,8,11]=>[11,8,5,3,2,1,12,10,9,7,6,4]
[4,6,7,9,11,12,1,2,3,5,8,10]=>[10,8,5,3,2,1,12,11,9,7,6,4]
[4,6,7,10,11,12,1,2,3,5,8,9]=>[9,8,5,3,2,1,12,11,10,7,6,4]
[4,6,8,9,10,12,1,2,3,5,7,11]=>[11,7,5,3,2,1,12,10,9,8,6,4]
[4,6,8,9,11,12,1,2,3,5,7,10]=>[10,7,5,3,2,1,12,11,9,8,6,4]
[4,6,8,10,11,12,1,2,3,5,7,9]=>[9,7,5,3,2,1,12,11,10,8,6,4]
[4,6,9,10,11,12,1,2,3,5,7,8]=>[8,7,5,3,2,1,12,11,10,9,6,4]
[4,7,8,9,10,12,1,2,3,5,6,11]=>[11,6,5,3,2,1,12,10,9,8,7,4]
[4,7,8,9,11,12,1,2,3,5,6,10]=>[10,6,5,3,2,1,12,11,9,8,7,4]
[4,7,8,10,11,12,1,2,3,5,6,9]=>[9,6,5,3,2,1,12,11,10,8,7,4]
[4,7,9,10,11,12,1,2,3,5,6,8]=>[8,6,5,3,2,1,12,11,10,9,7,4]
[4,8,9,10,11,12,1,2,3,5,6,7]=>[7,6,5,3,2,1,12,11,10,9,8,4]
[5,6,7,8,10,12,1,2,3,4,9,11]=>[11,9,4,3,2,1,12,10,8,7,6,5]
[5,6,7,8,11,12,1,2,3,4,9,10]=>[10,9,4,3,2,1,12,11,8,7,6,5]
[5,6,7,9,10,12,1,2,3,4,8,11]=>[11,8,4,3,2,1,12,10,9,7,6,5]
[5,6,7,9,11,12,1,2,3,4,8,10]=>[10,8,4,3,2,1,12,11,9,7,6,5]
[5,6,7,10,11,12,1,2,3,4,8,9]=>[9,8,4,3,2,1,12,11,10,7,6,5]
[5,6,8,9,10,12,1,2,3,4,7,11]=>[11,7,4,3,2,1,12,10,9,8,6,5]
[5,6,8,9,11,12,1,2,3,4,7,10]=>[10,7,4,3,2,1,12,11,9,8,6,5]
[5,6,8,10,11,12,1,2,3,4,7,9]=>[9,7,4,3,2,1,12,11,10,8,6,5]
[5,6,9,10,11,12,1,2,3,4,7,8]=>[8,7,4,3,2,1,12,11,10,9,6,5]
[5,7,8,9,10,12,1,2,3,4,6,11]=>[11,6,4,3,2,1,12,10,9,8,7,5]
[5,7,8,9,11,12,1,2,3,4,6,10]=>[10,6,4,3,2,1,12,11,9,8,7,5]
[5,7,8,10,11,12,1,2,3,4,6,9]=>[9,6,4,3,2,1,12,11,10,8,7,5]
[5,7,9,10,11,12,1,2,3,4,6,8]=>[8,6,4,3,2,1,12,11,10,9,7,5]
[5,8,9,10,11,12,1,2,3,4,6,7]=>[7,6,4,3,2,1,12,11,10,9,8,5]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[11,5,4,3,2,1,12,10,9,8,7,6]
[6,7,8,9,11,12,1,2,3,4,5,10]=>[10,5,4,3,2,1,12,11,9,8,7,6]
[6,7,8,10,11,12,1,2,3,4,5,9]=>[9,5,4,3,2,1,12,11,10,8,7,6]
[6,7,9,10,11,12,1,2,3,4,5,8]=>[8,5,4,3,2,1,12,11,10,9,7,6]
[6,8,9,10,11,12,1,2,3,4,5,7]=>[7,5,4,3,2,1,12,11,10,9,8,6]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]
[2,3,4,5,6,7,8,9,10,12,1,11]=>[11,1,12,10,9,8,7,6,5,4,3,2]
[3,1,4,5,6,7,8,9,10,11,12,2]=>[2,12,11,10,9,8,7,6,5,4,1,3]
[2,1,4,3,6,5,8,7,11,12,10,9]=>[9,10,12,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,10,8,7,12,11]=>[11,12,7,8,10,9,5,6,3,4,1,2]
[2,1,4,3,6,5,9,11,8,12,10,7]=>[7,10,12,8,11,9,5,6,3,4,1,2]
[2,1,4,3,6,5,10,11,12,9,8,7]=>[7,8,9,12,11,10,5,6,3,4,1,2]
[2,1,4,3,7,8,6,5,10,9,12,11]=>[11,12,9,10,5,6,8,7,3,4,1,2]
[2,1,4,3,7,8,6,5,11,12,10,9]=>[9,10,12,11,5,6,8,7,3,4,1,2]
[2,1,4,3,7,9,6,10,8,5,12,11]=>[11,12,5,8,10,6,9,7,3,4,1,2]
[2,1,4,3,7,9,6,11,8,12,10,5]=>[5,10,12,8,11,6,9,7,3,4,1,2]
[2,1,4,3,7,10,6,11,12,9,8,5]=>[5,8,9,12,11,6,10,7,3,4,1,2]
[2,1,4,3,8,9,10,7,6,5,12,11]=>[11,12,5,6,7,10,9,8,3,4,1,2]
[2,1,4,3,8,9,11,7,6,12,10,5]=>[5,10,12,6,7,11,9,8,3,4,1,2]
[2,1,4,3,8,10,11,7,12,9,6,5]=>[5,6,9,12,7,11,10,8,3,4,1,2]
[2,1,4,3,9,10,11,12,8,7,6,5]=>[5,6,7,8,12,11,10,9,3,4,1,2]
[2,1,5,6,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,6,5,1,2]
[2,1,5,6,4,3,8,7,11,12,10,9]=>[9,10,12,11,7,8,3,4,6,5,1,2]
[2,1,5,6,4,3,9,10,8,7,12,11]=>[11,12,7,8,10,9,3,4,6,5,1,2]
[2,1,5,6,4,3,9,11,8,12,10,7]=>[7,10,12,8,11,9,3,4,6,5,1,2]
[2,1,5,6,4,3,10,11,12,9,8,7]=>[7,8,9,12,11,10,3,4,6,5,1,2]
[2,1,5,7,4,8,6,3,10,9,12,11]=>[11,12,9,10,3,6,8,4,7,5,1,2]
[2,1,5,7,4,8,6,3,11,12,10,9]=>[9,10,12,11,3,6,8,4,7,5,1,2]
[2,1,5,7,4,9,6,10,8,3,12,11]=>[11,12,3,8,10,6,9,4,7,5,1,2]
[2,1,5,7,4,9,6,11,8,12,10,3]=>[3,10,12,8,11,6,9,4,7,5,1,2]
[2,1,5,7,4,10,6,11,12,9,8,3]=>[3,8,9,12,11,6,10,4,7,5,1,2]
[2,1,5,8,4,9,10,7,6,3,12,11]=>[11,12,3,6,7,10,9,4,8,5,1,2]
[2,1,5,8,4,9,11,7,6,12,10,3]=>[3,10,12,6,7,11,9,4,8,5,1,2]
[2,1,5,8,4,10,11,7,12,9,6,3]=>[3,6,9,12,7,11,10,4,8,5,1,2]
[2,1,5,9,4,10,11,12,8,7,6,3]=>[3,6,7,8,12,11,10,4,9,5,1,2]
[2,1,6,7,8,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,8,7,6,1,2]
[2,1,6,7,8,5,4,3,11,12,10,9]=>[9,10,12,11,3,4,5,8,7,6,1,2]
[2,1,6,7,9,5,4,10,8,3,12,11]=>[11,12,3,8,10,4,5,9,7,6,1,2]
[2,1,6,7,9,5,4,11,8,12,10,3]=>[3,10,12,8,11,4,5,9,7,6,1,2]
[2,1,6,7,10,5,4,11,12,9,8,3]=>[3,8,9,12,11,4,5,10,7,6,1,2]
[2,1,6,8,9,5,10,7,4,3,12,11]=>[11,12,3,4,7,10,5,9,8,6,1,2]
[2,1,6,8,9,5,11,7,4,12,10,3]=>[3,10,12,4,7,11,5,9,8,6,1,2]
[2,1,6,8,10,5,11,7,12,9,4,3]=>[3,4,9,12,7,11,5,10,8,6,1,2]
[2,1,6,9,10,5,11,12,8,7,4,3]=>[3,4,7,8,12,11,5,10,9,6,1,2]
[2,1,7,8,9,10,6,5,4,3,12,11]=>[11,12,3,4,5,6,10,9,8,7,1,2]
[2,1,7,8,9,11,6,5,4,12,10,3]=>[3,10,12,4,5,6,11,9,8,7,1,2]
[2,1,7,8,10,11,6,5,12,9,4,3]=>[3,4,9,12,5,6,11,10,8,7,1,2]
[2,1,7,9,10,11,6,12,8,5,4,3]=>[3,4,5,8,12,6,11,10,9,7,1,2]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[3,4,5,6,7,12,11,10,9,8,1,2]
[3,4,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,4,3]
[3,4,2,1,6,5,8,7,11,12,10,9]=>[9,10,12,11,7,8,5,6,1,2,4,3]
[3,4,2,1,6,5,9,10,8,7,12,11]=>[11,12,7,8,10,9,5,6,1,2,4,3]
[3,4,2,1,6,5,9,11,8,12,10,7]=>[7,10,12,8,11,9,5,6,1,2,4,3]
[3,4,2,1,6,5,10,11,12,9,8,7]=>[7,8,9,12,11,10,5,6,1,2,4,3]
[3,4,2,1,7,8,6,5,10,9,12,11]=>[11,12,9,10,5,6,8,7,1,2,4,3]
[3,4,2,1,7,8,6,5,11,12,10,9]=>[9,10,12,11,5,6,8,7,1,2,4,3]
[3,4,2,1,7,9,6,10,8,5,12,11]=>[11,12,5,8,10,6,9,7,1,2,4,3]
[3,4,2,1,7,9,6,11,8,12,10,5]=>[5,10,12,8,11,6,9,7,1,2,4,3]
[3,4,2,1,7,10,6,11,12,9,8,5]=>[5,8,9,12,11,6,10,7,1,2,4,3]
[3,4,2,1,8,9,10,7,6,5,12,11]=>[11,12,5,6,7,10,9,8,1,2,4,3]
[3,4,2,1,8,9,11,7,6,12,10,5]=>[5,10,12,6,7,11,9,8,1,2,4,3]
[3,4,2,1,8,10,11,7,12,9,6,5]=>[5,6,9,12,7,11,10,8,1,2,4,3]
[3,4,2,1,9,10,11,12,8,7,6,5]=>[5,6,7,8,12,11,10,9,1,2,4,3]
[3,5,2,6,4,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,4,6,2,5,3]
[3,5,2,6,4,1,8,7,11,12,10,9]=>[9,10,12,11,7,8,1,4,6,2,5,3]
[3,5,2,6,4,1,9,10,8,7,12,11]=>[11,12,7,8,10,9,1,4,6,2,5,3]
[3,5,2,6,4,1,9,11,8,12,10,7]=>[7,10,12,8,11,9,1,4,6,2,5,3]
[3,5,2,6,4,1,10,11,12,9,8,7]=>[7,8,9,12,11,10,1,4,6,2,5,3]
[3,5,2,7,4,8,6,1,10,9,12,11]=>[11,12,9,10,1,6,8,4,7,2,5,3]
[3,5,2,7,4,8,6,1,11,12,10,9]=>[9,10,12,11,1,6,8,4,7,2,5,3]
[3,5,2,7,4,9,6,10,8,1,12,11]=>[11,12,1,8,10,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,12,10,1]=>[1,10,12,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,10,6,11,12,9,8,1]=>[1,8,9,12,11,6,10,4,7,2,5,3]
[3,5,2,8,4,9,10,7,6,1,12,11]=>[11,12,1,6,7,10,9,4,8,2,5,3]
[3,5,2,8,4,9,11,7,6,12,10,1]=>[1,10,12,6,7,11,9,4,8,2,5,3]
[3,5,2,8,4,10,11,7,12,9,6,1]=>[1,6,9,12,7,11,10,4,8,2,5,3]
[3,5,2,9,4,10,11,12,8,7,6,1]=>[1,6,7,8,12,11,10,4,9,2,5,3]
[3,6,2,7,8,5,4,1,10,9,12,11]=>[11,12,9,10,1,4,5,8,7,2,6,3]
[3,6,2,7,8,5,4,1,11,12,10,9]=>[9,10,12,11,1,4,5,8,7,2,6,3]
[3,6,2,7,9,5,4,10,8,1,12,11]=>[11,12,1,8,10,4,5,9,7,2,6,3]
[3,6,2,7,9,5,4,11,8,12,10,1]=>[1,10,12,8,11,4,5,9,7,2,6,3]
[3,6,2,7,10,5,4,11,12,9,8,1]=>[1,8,9,12,11,4,5,10,7,2,6,3]
[3,6,2,8,9,5,10,7,4,1,12,11]=>[11,12,1,4,7,10,5,9,8,2,6,3]
[3,6,2,8,9,5,11,7,4,12,10,1]=>[1,10,12,4,7,11,5,9,8,2,6,3]
[3,6,2,8,10,5,11,7,12,9,4,1]=>[1,4,9,12,7,11,5,10,8,2,6,3]
[3,6,2,9,10,5,11,12,8,7,4,1]=>[1,4,7,8,12,11,5,10,9,2,6,3]
[3,7,2,8,9,10,6,5,4,1,12,11]=>[11,12,1,4,5,6,10,9,8,2,7,3]
[3,7,2,8,9,11,6,5,4,12,10,1]=>[1,10,12,4,5,6,11,9,8,2,7,3]
[3,7,2,8,10,11,6,5,12,9,4,1]=>[1,4,9,12,5,6,11,10,8,2,7,3]
[3,7,2,9,10,11,6,12,8,5,4,1]=>[1,4,5,8,12,6,11,10,9,2,7,3]
[3,8,2,9,10,11,12,7,6,5,4,1]=>[1,4,5,6,7,12,11,10,9,2,8,3]
[4,5,6,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,6,5,4]
[4,5,6,3,2,1,8,7,11,12,10,9]=>[9,10,12,11,7,8,1,2,3,6,5,4]
[4,5,6,3,2,1,9,10,8,7,12,11]=>[11,12,7,8,10,9,1,2,3,6,5,4]
[4,5,6,3,2,1,9,11,8,12,10,7]=>[7,10,12,8,11,9,1,2,3,6,5,4]
[4,5,6,3,2,1,10,11,12,9,8,7]=>[7,8,9,12,11,10,1,2,3,6,5,4]
[4,5,7,3,2,8,6,1,10,9,12,11]=>[11,12,9,10,1,6,8,2,3,7,5,4]
[4,5,7,3,2,8,6,1,11,12,10,9]=>[9,10,12,11,1,6,8,2,3,7,5,4]
[4,5,7,3,2,9,6,10,8,1,12,11]=>[11,12,1,8,10,6,9,2,3,7,5,4]
[4,5,7,3,2,9,6,11,8,12,10,1]=>[1,10,12,8,11,6,9,2,3,7,5,4]
[4,5,7,3,2,10,6,11,12,9,8,1]=>[1,8,9,12,11,6,10,2,3,7,5,4]
[4,5,8,3,2,9,10,7,6,1,12,11]=>[11,12,1,6,7,10,9,2,3,8,5,4]
[4,5,8,3,2,9,11,7,6,12,10,1]=>[1,10,12,6,7,11,9,2,3,8,5,4]
[4,5,8,3,2,10,11,7,12,9,6,1]=>[1,6,9,12,7,11,10,2,3,8,5,4]
[4,5,9,3,2,10,11,12,8,7,6,1]=>[1,6,7,8,12,11,10,2,3,9,5,4]
[4,6,7,3,8,5,2,1,10,9,12,11]=>[11,12,9,10,1,2,5,8,3,7,6,4]
[4,6,7,3,8,5,2,1,11,12,10,9]=>[9,10,12,11,1,2,5,8,3,7,6,4]
[4,6,7,3,9,5,2,10,8,1,12,11]=>[11,12,1,8,10,2,5,9,3,7,6,4]
[4,6,7,3,9,5,2,11,8,12,10,1]=>[1,10,12,8,11,2,5,9,3,7,6,4]
[4,6,7,3,10,5,2,11,12,9,8,1]=>[1,8,9,12,11,2,5,10,3,7,6,4]
[4,6,8,3,9,5,10,7,2,1,12,11]=>[11,12,1,2,7,10,5,9,3,8,6,4]
[4,6,8,3,9,5,11,7,2,12,10,1]=>[1,10,12,2,7,11,5,9,3,8,6,4]
[4,6,8,3,10,5,11,7,12,9,2,1]=>[1,2,9,12,7,11,5,10,3,8,6,4]
[4,6,9,3,10,5,11,12,8,7,2,1]=>[1,2,7,8,12,11,5,10,3,9,6,4]
[4,7,8,3,9,10,6,5,2,1,12,11]=>[11,12,1,2,5,6,10,9,3,8,7,4]
[4,7,8,3,9,11,6,5,2,12,10,1]=>[1,10,12,2,5,6,11,9,3,8,7,4]
[4,7,8,3,10,11,6,5,12,9,2,1]=>[1,2,9,12,5,6,11,10,3,8,7,4]
[4,7,9,3,10,11,6,12,8,5,2,1]=>[1,2,5,8,12,6,11,10,3,9,7,4]
[4,8,9,3,10,11,12,7,6,5,2,1]=>[1,2,5,6,7,12,11,10,3,9,8,4]
[5,6,7,8,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,8,7,6,5]
[5,6,7,8,4,3,2,1,11,12,10,9]=>[9,10,12,11,1,2,3,4,8,7,6,5]
[5,6,7,9,4,3,2,10,8,1,12,11]=>[11,12,1,8,10,2,3,4,9,7,6,5]
[5,6,7,9,4,3,2,11,8,12,10,1]=>[1,10,12,8,11,2,3,4,9,7,6,5]
[5,6,7,10,4,3,2,11,12,9,8,1]=>[1,8,9,12,11,2,3,4,10,7,6,5]
[5,6,8,9,4,3,10,7,2,1,12,11]=>[11,12,1,2,7,10,3,4,9,8,6,5]
[5,6,8,9,4,3,11,7,2,12,10,1]=>[1,10,12,2,7,11,3,4,9,8,6,5]
[5,6,8,10,4,3,11,7,12,9,2,1]=>[1,2,9,12,7,11,3,4,10,8,6,5]
[5,6,9,10,4,3,11,12,8,7,2,1]=>[1,2,7,8,12,11,3,4,10,9,6,5]
[5,7,8,9,4,10,6,3,2,1,12,11]=>[11,12,1,2,3,6,10,4,9,8,7,5]
[5,7,8,9,4,11,6,3,2,12,10,1]=>[1,10,12,2,3,6,11,4,9,8,7,5]
[5,7,8,10,4,11,6,3,12,9,2,1]=>[1,2,9,12,3,6,11,4,10,8,7,5]
[5,7,9,10,4,11,6,12,8,3,2,1]=>[1,2,3,8,12,6,11,4,10,9,7,5]
[5,8,9,10,4,11,12,7,6,3,2,1]=>[1,2,3,6,7,12,11,4,10,9,8,5]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,10,9,8,7,6]
[6,7,8,9,11,5,4,3,2,12,10,1]=>[1,10,12,2,3,4,5,11,9,8,7,6]
[6,7,8,10,11,5,4,3,12,9,2,1]=>[1,2,9,12,3,4,5,11,10,8,7,6]
[6,7,9,10,11,5,4,12,8,3,2,1]=>[1,2,3,8,12,4,5,11,10,9,7,6]
[6,8,9,10,11,5,12,7,4,3,2,1]=>[1,2,3,4,7,12,5,11,10,9,8,6]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[1,2,3,4,5,6,12,11,10,9,8,7]
[11,10,9,8,7,6,5,4,3,1,12,2]=>[2,12,1,3,4,5,6,7,8,9,10,11]
[10,12,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,12,10]
[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]
[7,8,9,12,11,10,1,2,3,6,5,4]=>[4,5,6,3,2,1,10,11,12,9,8,7]
[1,2,3,4,5,6,12,11,10,9,8,7]=>[7,8,9,10,11,12,6,5,4,3,2,1]
[12,11,10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10,11,12]
[10,12,9,11,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,11,9,12,10]
[11,12,8,10,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,10,8,12,11]
[10,12,8,11,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,11,8,12,10]
[9,12,8,11,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,11,8,12,9]
[11,12,9,10,6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6,10,9,12,11]
[10,12,9,11,6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6,11,9,12,10]
[11,12,8,10,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,10,8,12,11]
[10,12,8,11,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,11,8,12,10]
[9,12,8,11,6,10,5,7,3,4,1,2]=>[2,1,4,3,7,5,10,6,11,8,12,9]
[11,12,7,10,6,9,5,8,3,4,1,2]=>[2,1,4,3,8,5,9,6,10,7,12,11]
[10,12,7,11,6,9,5,8,3,4,1,2]=>[2,1,4,3,8,5,9,6,11,7,12,10]
[9,12,7,11,6,10,5,8,3,4,1,2]=>[2,1,4,3,8,5,10,6,11,7,12,9]
[8,12,7,11,6,10,5,9,3,4,1,2]=>[2,1,4,3,9,5,10,6,11,7,12,8]
[11,12,9,10,7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7,10,9,12,11]
[10,12,9,11,7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7,11,9,12,10]
[11,12,8,10,7,9,4,6,3,5,1,2]=>[2,1,5,3,6,4,9,7,10,8,12,11]
[10,12,8,11,7,9,4,6,3,5,1,2]=>[2,1,5,3,6,4,9,7,11,8,12,10]
[9,12,8,11,7,10,4,6,3,5,1,2]=>[2,1,5,3,6,4,10,7,11,8,12,9]
[11,12,9,10,6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6,10,9,12,11]
[10,12,9,11,6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6,11,9,12,10]
[11,12,8,10,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,10,8,12,11]
[10,12,8,11,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,11,8,12,10]
[9,12,8,11,6,10,4,7,3,5,1,2]=>[2,1,5,3,7,4,10,6,11,8,12,9]
[11,12,7,10,6,9,4,8,3,5,1,2]=>[2,1,5,3,8,4,9,6,10,7,12,11]
[10,12,7,11,6,9,4,8,3,5,1,2]=>[2,1,5,3,8,4,9,6,11,7,12,10]
[9,12,7,11,6,10,4,8,3,5,1,2]=>[2,1,5,3,8,4,10,6,11,7,12,9]
[8,12,7,11,6,10,4,9,3,5,1,2]=>[2,1,5,3,9,4,10,6,11,7,12,8]
[11,12,9,10,5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5,10,9,12,11]
[10,12,9,11,5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5,11,9,12,10]
[11,12,8,10,5,9,4,7,3,6,1,2]=>[2,1,6,3,7,4,9,5,10,8,12,11]
[10,12,8,11,5,9,4,7,3,6,1,2]=>[2,1,6,3,7,4,9,5,11,8,12,10]
[9,12,8,11,5,10,4,7,3,6,1,2]=>[2,1,6,3,7,4,10,5,11,8,12,9]
[11,12,7,10,5,9,4,8,3,6,1,2]=>[2,1,6,3,8,4,9,5,10,7,12,11]
[10,12,7,11,5,9,4,8,3,6,1,2]=>[2,1,6,3,8,4,9,5,11,7,12,10]
[9,12,7,11,5,10,4,8,3,6,1,2]=>[2,1,6,3,8,4,10,5,11,7,12,9]
[8,12,7,11,5,10,4,9,3,6,1,2]=>[2,1,6,3,9,4,10,5,11,7,12,8]
[11,12,6,10,5,9,4,8,3,7,1,2]=>[2,1,7,3,8,4,9,5,10,6,12,11]
[10,12,6,11,5,9,4,8,3,7,1,2]=>[2,1,7,3,8,4,9,5,11,6,12,10]
[9,12,6,11,5,10,4,8,3,7,1,2]=>[2,1,7,3,8,4,10,5,11,6,12,9]
[8,12,6,11,5,10,4,9,3,7,1,2]=>[2,1,7,3,9,4,10,5,11,6,12,8]
[7,12,6,11,5,10,4,9,3,8,1,2]=>[2,1,8,3,9,4,10,5,11,6,12,7]
[11,12,9,10,7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7,10,9,12,11]
[10,12,9,11,7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7,11,9,12,10]
[11,12,8,10,7,9,5,6,2,4,1,3]=>[3,1,4,2,6,5,9,7,10,8,12,11]
[10,12,8,11,7,9,5,6,2,4,1,3]=>[3,1,4,2,6,5,9,7,11,8,12,10]
[9,12,8,11,7,10,5,6,2,4,1,3]=>[3,1,4,2,6,5,10,7,11,8,12,9]
[11,12,9,10,6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6,10,9,12,11]
[10,12,9,11,6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6,11,9,12,10]
[11,12,8,10,6,9,5,7,2,4,1,3]=>[3,1,4,2,7,5,9,6,10,8,12,11]
[10,12,8,11,6,9,5,7,2,4,1,3]=>[3,1,4,2,7,5,9,6,11,8,12,10]
[9,12,8,11,6,10,5,7,2,4,1,3]=>[3,1,4,2,7,5,10,6,11,8,12,9]
[11,12,7,10,6,9,5,8,2,4,1,3]=>[3,1,4,2,8,5,9,6,10,7,12,11]
[10,12,7,11,6,9,5,8,2,4,1,3]=>[3,1,4,2,8,5,9,6,11,7,12,10]
[9,12,7,11,6,10,5,8,2,4,1,3]=>[3,1,4,2,8,5,10,6,11,7,12,9]
[8,12,7,11,6,10,5,9,2,4,1,3]=>[3,1,4,2,9,5,10,6,11,7,12,8]
[11,12,9,10,7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7,10,9,12,11]
[10,12,9,11,7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7,11,9,12,10]
[11,12,8,10,7,9,4,6,2,5,1,3]=>[3,1,5,2,6,4,9,7,10,8,12,11]
[10,12,8,11,7,9,4,6,2,5,1,3]=>[3,1,5,2,6,4,9,7,11,8,12,10]
[9,12,8,11,7,10,4,6,2,5,1,3]=>[3,1,5,2,6,4,10,7,11,8,12,9]
[11,12,9,10,6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6,10,9,12,11]
[10,12,9,11,6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6,11,9,12,10]
[11,12,8,10,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,10,8,12,11]
[10,12,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,12,10]
[9,12,8,11,6,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,6,11,8,12,9]
[11,12,7,10,6,9,4,8,2,5,1,3]=>[3,1,5,2,8,4,9,6,10,7,12,11]
[10,12,7,11,6,9,4,8,2,5,1,3]=>[3,1,5,2,8,4,9,6,11,7,12,10]
[9,12,7,11,6,10,4,8,2,5,1,3]=>[3,1,5,2,8,4,10,6,11,7,12,9]
[8,12,7,11,6,10,4,9,2,5,1,3]=>[3,1,5,2,9,4,10,6,11,7,12,8]
[11,12,9,10,5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5,10,9,12,11]
[10,12,9,11,5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5,11,9,12,10]
[11,12,8,10,5,9,4,7,2,6,1,3]=>[3,1,6,2,7,4,9,5,10,8,12,11]
[10,12,8,11,5,9,4,7,2,6,1,3]=>[3,1,6,2,7,4,9,5,11,8,12,10]
[9,12,8,11,5,10,4,7,2,6,1,3]=>[3,1,6,2,7,4,10,5,11,8,12,9]
[11,12,7,10,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,10,7,12,11]
[10,12,7,11,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,11,7,12,10]
[9,12,7,11,5,10,4,8,2,6,1,3]=>[3,1,6,2,8,4,10,5,11,7,12,9]
[8,12,7,11,5,10,4,9,2,6,1,3]=>[3,1,6,2,9,4,10,5,11,7,12,8]
[11,12,6,10,5,9,4,8,2,7,1,3]=>[3,1,7,2,8,4,9,5,10,6,12,11]
[10,12,6,11,5,9,4,8,2,7,1,3]=>[3,1,7,2,8,4,9,5,11,6,12,10]
[9,12,6,11,5,10,4,8,2,7,1,3]=>[3,1,7,2,8,4,10,5,11,6,12,9]
[8,12,6,11,5,10,4,9,2,7,1,3]=>[3,1,7,2,9,4,10,5,11,6,12,8]
[7,12,6,11,5,10,4,9,2,8,1,3]=>[3,1,8,2,9,4,10,5,11,6,12,7]
[11,12,9,10,7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7,10,9,12,11]
[10,12,9,11,7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7,11,9,12,10]
[11,12,8,10,7,9,3,6,2,5,1,4]=>[4,1,5,2,6,3,9,7,10,8,12,11]
[10,12,8,11,7,9,3,6,2,5,1,4]=>[4,1,5,2,6,3,9,7,11,8,12,10]
[9,12,8,11,7,10,3,6,2,5,1,4]=>[4,1,5,2,6,3,10,7,11,8,12,9]
[11,12,9,10,6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6,10,9,12,11]
[10,12,9,11,6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6,11,9,12,10]
[11,12,8,10,6,9,3,7,2,5,1,4]=>[4,1,5,2,7,3,9,6,10,8,12,11]
[10,12,8,11,6,9,3,7,2,5,1,4]=>[4,1,5,2,7,3,9,6,11,8,12,10]
[9,12,8,11,6,10,3,7,2,5,1,4]=>[4,1,5,2,7,3,10,6,11,8,12,9]
[11,12,7,10,6,9,3,8,2,5,1,4]=>[4,1,5,2,8,3,9,6,10,7,12,11]
[10,12,7,11,6,9,3,8,2,5,1,4]=>[4,1,5,2,8,3,9,6,11,7,12,10]
[9,12,7,11,6,10,3,8,2,5,1,4]=>[4,1,5,2,8,3,10,6,11,7,12,9]
[8,12,7,11,6,10,3,9,2,5,1,4]=>[4,1,5,2,9,3,10,6,11,7,12,8]
[11,12,9,10,5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5,10,9,12,11]
[10,12,9,11,5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5,11,9,12,10]
[11,12,8,10,5,9,3,7,2,6,1,4]=>[4,1,6,2,7,3,9,5,10,8,12,11]
[10,12,8,11,5,9,3,7,2,6,1,4]=>[4,1,6,2,7,3,9,5,11,8,12,10]
[9,12,8,11,5,10,3,7,2,6,1,4]=>[4,1,6,2,7,3,10,5,11,8,12,9]
[11,12,7,10,5,9,3,8,2,6,1,4]=>[4,1,6,2,8,3,9,5,10,7,12,11]
[10,12,7,11,5,9,3,8,2,6,1,4]=>[4,1,6,2,8,3,9,5,11,7,12,10]
[9,12,7,11,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,11,7,12,9]
[8,12,7,11,5,10,3,9,2,6,1,4]=>[4,1,6,2,9,3,10,5,11,7,12,8]
[11,12,6,10,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,10,6,12,11]
[10,12,6,11,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,11,6,12,10]
[9,12,6,11,5,10,3,8,2,7,1,4]=>[4,1,7,2,8,3,10,5,11,6,12,9]
[8,12,6,11,5,10,3,9,2,7,1,4]=>[4,1,7,2,9,3,10,5,11,6,12,8]
[7,12,6,11,5,10,3,9,2,8,1,4]=>[4,1,8,2,9,3,10,5,11,6,12,7]
[11,12,9,10,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,10,9,12,11]
[10,12,9,11,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,11,9,12,10]
[11,12,8,10,4,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,4,10,8,12,11]
[10,12,8,11,4,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,4,11,8,12,10]
[9,12,8,11,4,10,3,7,2,6,1,5]=>[5,1,6,2,7,3,10,4,11,8,12,9]
[11,12,7,10,4,9,3,8,2,6,1,5]=>[5,1,6,2,8,3,9,4,10,7,12,11]
[10,12,7,11,4,9,3,8,2,6,1,5]=>[5,1,6,2,8,3,9,4,11,7,12,10]
[9,12,7,11,4,10,3,8,2,6,1,5]=>[5,1,6,2,8,3,10,4,11,7,12,9]
[8,12,7,11,4,10,3,9,2,6,1,5]=>[5,1,6,2,9,3,10,4,11,7,12,8]
[11,12,6,10,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,10,6,12,11]
[10,12,6,11,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,11,6,12,10]
[9,12,6,11,4,10,3,8,2,7,1,5]=>[5,1,7,2,8,3,10,4,11,6,12,9]
[8,12,6,11,4,10,3,9,2,7,1,5]=>[5,1,7,2,9,3,10,4,11,6,12,8]
[7,12,6,11,4,10,3,9,2,8,1,5]=>[5,1,8,2,9,3,10,4,11,6,12,7]
[11,12,5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5,12,11]
[10,12,5,11,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,11,5,12,10]
[9,12,5,11,4,10,3,8,2,7,1,6]=>[6,1,7,2,8,3,10,4,11,5,12,9]
[8,12,5,11,4,10,3,9,2,7,1,6]=>[6,1,7,2,9,3,10,4,11,5,12,8]
[7,12,5,11,4,10,3,9,2,8,1,6]=>[6,1,8,2,9,3,10,4,11,5,12,7]
[6,12,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,12,6]
[11,9,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,9,11]
[7,1,8,2,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,2,8,1,7]
[7,1,8,2,9,3,10,4,11,12,5,6]=>[6,5,12,11,4,10,3,9,2,8,1,7]
[7,1,8,2,9,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,9,2,8,1,7]
[7,1,8,2,9,3,10,11,4,12,5,6]=>[6,5,12,4,11,10,3,9,2,8,1,7]
[7,1,8,2,9,3,10,11,12,4,5,6]=>[6,5,4,12,11,10,3,9,2,8,1,7]
[7,1,8,2,9,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,9,2,8,1,7]
[7,1,8,2,9,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,9,2,8,1,7]
[7,1,8,2,9,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,9,2,8,1,7]
[7,1,8,2,9,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,9,2,8,1,7]
[7,1,8,2,9,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,9,2,8,1,7]
[7,1,8,2,9,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,9,2,8,1,7]
[7,1,8,2,9,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,9,2,8,1,7]
[7,1,8,2,9,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,9,2,8,1,7]
[7,1,8,2,9,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,9,2,8,1,7]
[7,1,8,9,2,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,2,9,8,1,7]
[7,1,8,9,2,3,10,4,11,12,5,6]=>[6,5,12,11,4,10,3,2,9,8,1,7]
[7,1,8,9,2,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,2,9,8,1,7]
[7,1,8,9,2,3,10,11,4,12,5,6]=>[6,5,12,4,11,10,3,2,9,8,1,7]
[7,1,8,9,2,3,10,11,12,4,5,6]=>[6,5,4,12,11,10,3,2,9,8,1,7]
[7,1,8,9,2,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,2,9,8,1,7]
[7,1,8,9,2,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,2,9,8,1,7]
[7,1,8,9,2,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,2,9,8,1,7]
[7,1,8,9,2,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,2,9,8,1,7]
[7,1,8,9,2,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,2,9,8,1,7]
[7,1,8,9,2,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,2,9,8,1,7]
[7,1,8,9,2,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,2,9,8,1,7]
[7,1,8,9,2,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,2,9,8,1,7]
[7,1,8,9,2,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,2,9,8,1,7]
[7,1,8,9,10,2,3,4,11,5,12,6]=>[6,12,5,11,4,3,2,10,9,8,1,7]
[7,1,8,9,10,2,3,4,11,12,5,6]=>[6,5,12,11,4,3,2,10,9,8,1,7]
[7,1,8,9,10,2,3,11,4,5,12,6]=>[6,12,5,4,11,3,2,10,9,8,1,7]
[7,1,8,9,10,2,3,11,4,12,5,6]=>[6,5,12,4,11,3,2,10,9,8,1,7]
[7,1,8,9,10,2,3,11,12,4,5,6]=>[6,5,4,12,11,3,2,10,9,8,1,7]
[7,1,8,9,10,2,11,3,4,5,12,6]=>[6,12,5,4,3,11,2,10,9,8,1,7]
[7,1,8,9,10,2,11,3,4,12,5,6]=>[6,5,12,4,3,11,2,10,9,8,1,7]
[7,1,8,9,10,2,11,3,12,4,5,6]=>[6,5,4,12,3,11,2,10,9,8,1,7]
[7,1,8,9,10,2,11,12,3,4,5,6]=>[6,5,4,3,12,11,2,10,9,8,1,7]
[7,1,8,9,10,11,2,3,4,5,12,6]=>[6,12,5,4,3,2,11,10,9,8,1,7]
[7,1,8,9,10,11,2,3,4,12,5,6]=>[6,5,12,4,3,2,11,10,9,8,1,7]
[7,1,8,9,10,11,2,3,12,4,5,6]=>[6,5,4,12,3,2,11,10,9,8,1,7]
[7,1,8,9,10,11,2,12,3,4,5,6]=>[6,5,4,3,12,2,11,10,9,8,1,7]
[7,1,8,9,10,11,12,2,3,4,5,6]=>[6,5,4,3,2,12,11,10,9,8,1,7]
[7,8,1,2,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,2,1,8,7]
[7,8,1,2,9,3,10,4,11,12,5,6]=>[6,5,12,11,4,10,3,9,2,1,8,7]
[7,8,1,2,9,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,9,2,1,8,7]
[7,8,1,2,9,3,10,11,4,12,5,6]=>[6,5,12,4,11,10,3,9,2,1,8,7]
[7,8,1,2,9,3,10,11,12,4,5,6]=>[6,5,4,12,11,10,3,9,2,1,8,7]
[7,8,1,2,9,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,9,2,1,8,7]
[7,8,1,2,9,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,9,2,1,8,7]
[7,8,1,2,9,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,9,2,1,8,7]
[7,8,1,2,9,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,9,2,1,8,7]
[7,8,1,2,9,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,9,2,1,8,7]
[7,8,1,2,9,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,9,2,1,8,7]
[7,8,1,2,9,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,9,2,1,8,7]
[7,8,1,2,9,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,9,2,1,8,7]
[7,8,1,2,9,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,9,2,1,8,7]
[7,8,1,9,2,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,2,9,1,8,7]
[7,8,1,9,2,3,10,4,11,12,5,6]=>[6,5,12,11,4,10,3,2,9,1,8,7]
[7,8,1,9,2,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,2,9,1,8,7]
[7,8,1,9,2,3,10,11,4,12,5,6]=>[6,5,12,4,11,10,3,2,9,1,8,7]
[7,8,1,9,2,3,10,11,12,4,5,6]=>[6,5,4,12,11,10,3,2,9,1,8,7]
[7,8,1,9,2,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,2,9,1,8,7]
[7,8,1,9,2,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,2,9,1,8,7]
[7,8,1,9,2,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,2,9,1,8,7]
[7,8,1,9,2,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,2,9,1,8,7]
[7,8,1,9,2,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,2,9,1,8,7]
[7,8,1,9,2,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,2,9,1,8,7]
[7,8,1,9,2,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,2,9,1,8,7]
[7,8,1,9,2,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,2,9,1,8,7]
[7,8,1,9,2,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,2,9,1,8,7]
[7,8,1,9,10,2,3,4,11,5,12,6]=>[6,12,5,11,4,3,2,10,9,1,8,7]
[7,8,1,9,10,2,3,4,11,12,5,6]=>[6,5,12,11,4,3,2,10,9,1,8,7]
[7,8,1,9,10,2,3,11,4,5,12,6]=>[6,12,5,4,11,3,2,10,9,1,8,7]
[7,8,1,9,10,2,3,11,4,12,5,6]=>[6,5,12,4,11,3,2,10,9,1,8,7]
[7,8,1,9,10,2,3,11,12,4,5,6]=>[6,5,4,12,11,3,2,10,9,1,8,7]
[7,8,1,9,10,2,11,3,4,5,12,6]=>[6,12,5,4,3,11,2,10,9,1,8,7]
[7,8,1,9,10,2,11,3,4,12,5,6]=>[6,5,12,4,3,11,2,10,9,1,8,7]
[7,8,1,9,10,2,11,3,12,4,5,6]=>[6,5,4,12,3,11,2,10,9,1,8,7]
[7,8,1,9,10,2,11,12,3,4,5,6]=>[6,5,4,3,12,11,2,10,9,1,8,7]
[7,8,1,9,10,11,2,3,4,5,12,6]=>[6,12,5,4,3,2,11,10,9,1,8,7]
[7,8,1,9,10,11,2,3,4,12,5,6]=>[6,5,12,4,3,2,11,10,9,1,8,7]
[7,8,1,9,10,11,2,3,12,4,5,6]=>[6,5,4,12,3,2,11,10,9,1,8,7]
[7,8,1,9,10,11,2,12,3,4,5,6]=>[6,5,4,3,12,2,11,10,9,1,8,7]
[7,8,1,9,10,11,12,2,3,4,5,6]=>[6,5,4,3,2,12,11,10,9,1,8,7]
[7,8,9,1,2,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,2,1,9,8,7]
[7,8,9,1,2,3,10,4,11,12,5,6]=>[6,5,12,11,4,10,3,2,1,9,8,7]
[7,8,9,1,2,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,2,1,9,8,7]
[7,8,9,1,2,3,10,11,4,12,5,6]=>[6,5,12,4,11,10,3,2,1,9,8,7]
[7,8,9,1,2,3,10,11,12,4,5,6]=>[6,5,4,12,11,10,3,2,1,9,8,7]
[7,8,9,1,2,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,2,1,9,8,7]
[7,8,9,1,2,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,2,1,9,8,7]
[7,8,9,1,2,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,2,1,9,8,7]
[7,8,9,1,2,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,2,1,9,8,7]
[7,8,9,1,2,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,2,1,9,8,7]
[7,8,9,1,2,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,2,1,9,8,7]
[7,8,9,1,2,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,2,1,9,8,7]
[7,8,9,1,2,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,2,1,9,8,7]
[7,8,9,1,2,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,2,1,9,8,7]
[7,8,9,1,10,2,3,4,11,5,12,6]=>[6,12,5,11,4,3,2,10,1,9,8,7]
[7,8,9,1,10,2,3,4,11,12,5,6]=>[6,5,12,11,4,3,2,10,1,9,8,7]
[7,8,9,1,10,2,3,11,4,5,12,6]=>[6,12,5,4,11,3,2,10,1,9,8,7]
[7,8,9,1,10,2,3,11,4,12,5,6]=>[6,5,12,4,11,3,2,10,1,9,8,7]
[7,8,9,1,10,2,3,11,12,4,5,6]=>[6,5,4,12,11,3,2,10,1,9,8,7]
[7,8,9,1,10,2,11,3,4,5,12,6]=>[6,12,5,4,3,11,2,10,1,9,8,7]
[7,8,9,1,10,2,11,3,4,12,5,6]=>[6,5,12,4,3,11,2,10,1,9,8,7]
[7,8,9,1,10,2,11,3,12,4,5,6]=>[6,5,4,12,3,11,2,10,1,9,8,7]
[7,8,9,1,10,2,11,12,3,4,5,6]=>[6,5,4,3,12,11,2,10,1,9,8,7]
[7,8,9,1,10,11,2,3,4,5,12,6]=>[6,12,5,4,3,2,11,10,1,9,8,7]
[7,8,9,1,10,11,2,3,4,12,5,6]=>[6,5,12,4,3,2,11,10,1,9,8,7]
[7,8,9,1,10,11,2,3,12,4,5,6]=>[6,5,4,12,3,2,11,10,1,9,8,7]
[7,8,9,1,10,11,2,12,3,4,5,6]=>[6,5,4,3,12,2,11,10,1,9,8,7]
[7,8,9,1,10,11,12,2,3,4,5,6]=>[6,5,4,3,2,12,11,10,1,9,8,7]
[7,8,9,10,1,2,3,4,11,5,12,6]=>[6,12,5,11,4,3,2,1,10,9,8,7]
[7,8,9,10,1,2,3,4,11,12,5,6]=>[6,5,12,11,4,3,2,1,10,9,8,7]
[7,8,9,10,1,2,3,11,4,5,12,6]=>[6,12,5,4,11,3,2,1,10,9,8,7]
[7,8,9,10,1,2,3,11,4,12,5,6]=>[6,5,12,4,11,3,2,1,10,9,8,7]
[7,8,9,10,1,2,3,11,12,4,5,6]=>[6,5,4,12,11,3,2,1,10,9,8,7]
[7,8,9,10,1,2,11,3,4,5,12,6]=>[6,12,5,4,3,11,2,1,10,9,8,7]
[7,8,9,10,1,2,11,3,4,12,5,6]=>[6,5,12,4,3,11,2,1,10,9,8,7]
[7,8,9,10,1,2,11,3,12,4,5,6]=>[6,5,4,12,3,11,2,1,10,9,8,7]
[7,8,9,10,1,2,11,12,3,4,5,6]=>[6,5,4,3,12,11,2,1,10,9,8,7]
[7,8,9,10,1,11,2,3,4,5,12,6]=>[6,12,5,4,3,2,11,1,10,9,8,7]
[7,8,9,10,1,11,2,3,4,12,5,6]=>[6,5,12,4,3,2,11,1,10,9,8,7]
[7,8,9,10,1,11,2,3,12,4,5,6]=>[6,5,4,12,3,2,11,1,10,9,8,7]
[7,8,9,10,1,11,2,12,3,4,5,6]=>[6,5,4,3,12,2,11,1,10,9,8,7]
[7,8,9,10,1,11,12,2,3,4,5,6]=>[6,5,4,3,2,12,11,1,10,9,8,7]
[7,8,9,10,11,1,2,3,4,5,12,6]=>[6,12,5,4,3,2,1,11,10,9,8,7]
[7,8,9,10,11,1,2,3,4,12,5,6]=>[6,5,12,4,3,2,1,11,10,9,8,7]
[7,8,9,10,11,1,2,3,12,4,5,6]=>[6,5,4,12,3,2,1,11,10,9,8,7]
[7,8,9,10,11,1,2,12,3,4,5,6]=>[6,5,4,3,12,2,1,11,10,9,8,7]
[7,8,9,10,11,1,12,2,3,4,5,6]=>[6,5,4,3,2,12,1,11,10,9,8,7]
[3,4,5,6,7,8,9,10,11,12,1,2]=>[2,1,12,11,10,9,8,7,6,5,4,3]
[11,12,9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9,12,11]
[11,12,9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9,12,11]
[11,12,7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7,12,11]
[11,12,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,12,11]
[1,2,3,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,3,2,1]
[11,1,12,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,12,1,11]
[2,12,11,10,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,10,11,12,2]
[11,1,2,3,4,5,6,7,8,9,12,10]=>[10,12,9,8,7,6,5,4,3,2,1,11]
[2,12,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,12,2]
[9,8,7,10,11,12,3,2,1,4,5,6]=>[6,5,4,1,2,3,12,11,10,7,8,9]
[6,5,4,3,2,1,7,8,9,10,11,12]=>[12,11,10,9,8,7,1,2,3,4,5,6]
[12,2,1,4,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,4,1,2,12]
[12,2,1,4,3,6,5,8,7,9,11,10]=>[10,11,9,7,8,5,6,3,4,1,2,12]
[12,2,1,4,3,6,5,7,9,10,8,11]=>[11,8,10,9,7,5,6,3,4,1,2,12]
[12,2,1,4,3,6,5,7,9,8,11,10]=>[10,11,8,9,7,5,6,3,4,1,2,12]
[12,2,1,4,3,6,5,7,8,10,11,9]=>[9,11,10,8,7,5,6,3,4,1,2,12]
[12,2,1,4,3,5,7,8,6,10,9,11]=>[11,9,10,6,8,7,5,3,4,1,2,12]
[12,2,1,4,3,5,7,8,6,9,11,10]=>[10,11,9,6,8,7,5,3,4,1,2,12]
[12,2,1,4,3,5,7,6,9,10,8,11]=>[11,8,10,9,6,7,5,3,4,1,2,12]
[12,2,1,4,3,5,7,6,9,8,11,10]=>[10,11,8,9,6,7,5,3,4,1,2,12]
[12,2,1,4,3,5,7,6,8,10,11,9]=>[9,11,10,8,6,7,5,3,4,1,2,12]
[12,2,1,4,3,5,6,8,9,10,7,11]=>[11,7,10,9,8,6,5,3,4,1,2,12]
[12,2,1,4,3,5,6,8,9,7,11,10]=>[10,11,7,9,8,6,5,3,4,1,2,12]
[12,2,1,4,3,5,6,8,7,10,11,9]=>[9,11,10,7,8,6,5,3,4,1,2,12]
[12,2,1,4,3,5,6,7,9,10,11,8]=>[8,11,10,9,7,6,5,3,4,1,2,12]
[12,2,1,3,5,6,4,8,7,10,9,11]=>[11,9,10,7,8,4,6,5,3,1,2,12]
[12,2,1,3,5,6,4,8,7,9,11,10]=>[10,11,9,7,8,4,6,5,3,1,2,12]
[12,2,1,3,5,6,4,7,9,10,8,11]=>[11,8,10,9,7,4,6,5,3,1,2,12]
[12,2,1,3,5,6,4,7,9,8,11,10]=>[10,11,8,9,7,4,6,5,3,1,2,12]
[12,2,1,3,5,6,4,7,8,10,11,9]=>[9,11,10,8,7,4,6,5,3,1,2,12]
[12,2,1,3,5,4,7,8,6,10,9,11]=>[11,9,10,6,8,7,4,5,3,1,2,12]
[12,2,1,3,5,4,7,8,6,9,11,10]=>[10,11,9,6,8,7,4,5,3,1,2,12]
[12,2,1,3,5,4,7,6,9,10,8,11]=>[11,8,10,9,6,7,4,5,3,1,2,12]
[12,2,1,3,5,4,7,6,9,8,11,10]=>[10,11,8,9,6,7,4,5,3,1,2,12]
[12,2,1,3,5,4,7,6,8,10,11,9]=>[9,11,10,8,6,7,4,5,3,1,2,12]
[12,2,1,3,5,4,6,8,9,10,7,11]=>[11,7,10,9,8,6,4,5,3,1,2,12]
[12,2,1,3,5,4,6,8,9,7,11,10]=>[10,11,7,9,8,6,4,5,3,1,2,12]
[12,2,1,3,5,4,6,8,7,10,11,9]=>[9,11,10,7,8,6,4,5,3,1,2,12]
[12,2,1,3,5,4,6,7,9,10,11,8]=>[8,11,10,9,7,6,4,5,3,1,2,12]
[12,2,1,3,4,6,7,8,5,10,9,11]=>[11,9,10,5,8,7,6,4,3,1,2,12]
[12,2,1,3,4,6,7,8,5,9,11,10]=>[10,11,9,5,8,7,6,4,3,1,2,12]
[12,2,1,3,4,6,7,5,9,10,8,11]=>[11,8,10,9,5,7,6,4,3,1,2,12]
[12,2,1,3,4,6,7,5,9,8,11,10]=>[10,11,8,9,5,7,6,4,3,1,2,12]
[12,2,1,3,4,6,7,5,8,10,11,9]=>[9,11,10,8,5,7,6,4,3,1,2,12]
[12,2,1,3,4,6,5,8,9,10,7,11]=>[11,7,10,9,8,5,6,4,3,1,2,12]
[12,2,1,3,4,6,5,8,9,7,11,10]=>[10,11,7,9,8,5,6,4,3,1,2,12]
[12,2,1,3,4,6,5,8,7,10,11,9]=>[9,11,10,7,8,5,6,4,3,1,2,12]
[12,2,1,3,4,6,5,7,9,10,11,8]=>[8,11,10,9,7,5,6,4,3,1,2,12]
[12,2,1,3,4,5,7,8,9,10,6,11]=>[11,6,10,9,8,7,5,4,3,1,2,12]
[12,2,1,3,4,5,7,8,9,6,11,10]=>[10,11,6,9,8,7,5,4,3,1,2,12]
[12,2,1,3,4,5,7,8,6,10,11,9]=>[9,11,10,6,8,7,5,4,3,1,2,12]
[12,2,1,3,4,5,7,6,9,10,11,8]=>[8,11,10,9,6,7,5,4,3,1,2,12]
[12,2,1,3,4,5,6,8,9,10,11,7]=>[7,11,10,9,8,6,5,4,3,1,2,12]
[12,1,3,4,2,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,2,4,3,1,12]
[12,1,3,4,2,6,5,8,7,9,11,10]=>[10,11,9,7,8,5,6,2,4,3,1,12]
[12,1,3,4,2,6,5,7,9,10,8,11]=>[11,8,10,9,7,5,6,2,4,3,1,12]
[12,1,3,4,2,6,5,7,9,8,11,10]=>[10,11,8,9,7,5,6,2,4,3,1,12]
[12,1,3,4,2,6,5,7,8,10,11,9]=>[9,11,10,8,7,5,6,2,4,3,1,12]
[12,1,3,4,2,5,7,8,6,10,9,11]=>[11,9,10,6,8,7,5,2,4,3,1,12]
[12,1,3,4,2,5,7,8,6,9,11,10]=>[10,11,9,6,8,7,5,2,4,3,1,12]
[12,1,3,4,2,5,7,6,9,10,8,11]=>[11,8,10,9,6,7,5,2,4,3,1,12]
[12,1,3,4,2,5,7,6,9,8,11,10]=>[10,11,8,9,6,7,5,2,4,3,1,12]
[12,1,3,4,2,5,7,6,8,10,11,9]=>[9,11,10,8,6,7,5,2,4,3,1,12]
[12,1,3,4,2,5,6,8,9,10,7,11]=>[11,7,10,9,8,6,5,2,4,3,1,12]
[12,1,3,4,2,5,6,8,9,7,11,10]=>[10,11,7,9,8,6,5,2,4,3,1,12]
[12,1,3,4,2,5,6,8,7,10,11,9]=>[9,11,10,7,8,6,5,2,4,3,1,12]
[12,1,3,4,2,5,6,7,9,10,11,8]=>[8,11,10,9,7,6,5,2,4,3,1,12]
[12,1,3,2,5,6,4,8,7,10,9,11]=>[11,9,10,7,8,4,6,5,2,3,1,12]
[12,1,3,2,5,6,4,8,7,9,11,10]=>[10,11,9,7,8,4,6,5,2,3,1,12]
[12,1,3,2,5,6,4,7,9,10,8,11]=>[11,8,10,9,7,4,6,5,2,3,1,12]
[12,1,3,2,5,6,4,7,9,8,11,10]=>[10,11,8,9,7,4,6,5,2,3,1,12]
[12,1,3,2,5,6,4,7,8,10,11,9]=>[9,11,10,8,7,4,6,5,2,3,1,12]
[12,1,3,2,5,4,7,8,6,10,9,11]=>[11,9,10,6,8,7,4,5,2,3,1,12]
[12,1,3,2,5,4,7,8,6,9,11,10]=>[10,11,9,6,8,7,4,5,2,3,1,12]
[12,1,3,2,5,4,7,6,9,10,8,11]=>[11,8,10,9,6,7,4,5,2,3,1,12]
[12,1,3,2,5,4,7,6,9,8,11,10]=>[10,11,8,9,6,7,4,5,2,3,1,12]
[12,1,3,2,5,4,7,6,8,10,11,9]=>[9,11,10,8,6,7,4,5,2,3,1,12]
[12,1,3,2,5,4,6,8,9,10,7,11]=>[11,7,10,9,8,6,4,5,2,3,1,12]
[12,1,3,2,5,4,6,8,9,7,11,10]=>[10,11,7,9,8,6,4,5,2,3,1,12]
[12,1,3,2,5,4,6,8,7,10,11,9]=>[9,11,10,7,8,6,4,5,2,3,1,12]
[12,1,3,2,5,4,6,7,9,10,11,8]=>[8,11,10,9,7,6,4,5,2,3,1,12]
[12,1,3,2,4,6,7,8,5,10,9,11]=>[11,9,10,5,8,7,6,4,2,3,1,12]
[12,1,3,2,4,6,7,8,5,9,11,10]=>[10,11,9,5,8,7,6,4,2,3,1,12]
[12,1,3,2,4,6,7,5,9,10,8,11]=>[11,8,10,9,5,7,6,4,2,3,1,12]
[12,1,3,2,4,6,7,5,9,8,11,10]=>[10,11,8,9,5,7,6,4,2,3,1,12]
[12,1,3,2,4,6,7,5,8,10,11,9]=>[9,11,10,8,5,7,6,4,2,3,1,12]
[12,1,3,2,4,6,5,8,9,10,7,11]=>[11,7,10,9,8,5,6,4,2,3,1,12]
[12,1,3,2,4,6,5,8,9,7,11,10]=>[10,11,7,9,8,5,6,4,2,3,1,12]
[12,1,3,2,4,6,5,8,7,10,11,9]=>[9,11,10,7,8,5,6,4,2,3,1,12]
[12,1,3,2,4,6,5,7,9,10,11,8]=>[8,11,10,9,7,5,6,4,2,3,1,12]
[12,1,3,2,4,5,7,8,9,10,6,11]=>[11,6,10,9,8,7,5,4,2,3,1,12]
[12,1,3,2,4,5,7,8,9,6,11,10]=>[10,11,6,9,8,7,5,4,2,3,1,12]
[12,1,3,2,4,5,7,8,6,10,11,9]=>[9,11,10,6,8,7,5,4,2,3,1,12]
[12,1,3,2,4,5,7,6,9,10,11,8]=>[8,11,10,9,6,7,5,4,2,3,1,12]
[12,1,3,2,4,5,6,8,9,10,11,7]=>[7,11,10,9,8,6,5,4,2,3,1,12]
[12,1,2,4,5,6,3,8,7,10,9,11]=>[11,9,10,7,8,3,6,5,4,2,1,12]
[12,1,2,4,5,6,3,8,7,9,11,10]=>[10,11,9,7,8,3,6,5,4,2,1,12]
[12,1,2,4,5,6,3,7,9,10,8,11]=>[11,8,10,9,7,3,6,5,4,2,1,12]
[12,1,2,4,5,6,3,7,9,8,11,10]=>[10,11,8,9,7,3,6,5,4,2,1,12]
[12,1,2,4,5,6,3,7,8,10,11,9]=>[9,11,10,8,7,3,6,5,4,2,1,12]
[12,1,2,4,5,3,7,8,6,10,9,11]=>[11,9,10,6,8,7,3,5,4,2,1,12]
[12,1,2,4,5,3,7,8,6,9,11,10]=>[10,11,9,6,8,7,3,5,4,2,1,12]
[12,1,2,4,5,3,7,6,9,10,8,11]=>[11,8,10,9,6,7,3,5,4,2,1,12]
[12,1,2,4,5,3,7,6,9,8,11,10]=>[10,11,8,9,6,7,3,5,4,2,1,12]
[12,1,2,4,5,3,7,6,8,10,11,9]=>[9,11,10,8,6,7,3,5,4,2,1,12]
[12,1,2,4,5,3,6,8,9,10,7,11]=>[11,7,10,9,8,6,3,5,4,2,1,12]
[12,1,2,4,5,3,6,8,9,7,11,10]=>[10,11,7,9,8,6,3,5,4,2,1,12]
[12,1,2,4,5,3,6,8,7,10,11,9]=>[9,11,10,7,8,6,3,5,4,2,1,12]
[12,1,2,4,5,3,6,7,9,10,11,8]=>[8,11,10,9,7,6,3,5,4,2,1,12]
[12,1,2,4,3,6,7,8,5,10,9,11]=>[11,9,10,5,8,7,6,3,4,2,1,12]
[12,1,2,4,3,6,7,8,5,9,11,10]=>[10,11,9,5,8,7,6,3,4,2,1,12]
[12,1,2,4,3,6,7,5,9,10,8,11]=>[11,8,10,9,5,7,6,3,4,2,1,12]
[12,1,2,4,3,6,7,5,9,8,11,10]=>[10,11,8,9,5,7,6,3,4,2,1,12]
[12,1,2,4,3,6,7,5,8,10,11,9]=>[9,11,10,8,5,7,6,3,4,2,1,12]
[12,1,2,4,3,6,5,8,9,10,7,11]=>[11,7,10,9,8,5,6,3,4,2,1,12]
[12,1,2,4,3,6,5,8,9,7,11,10]=>[10,11,7,9,8,5,6,3,4,2,1,12]
[12,1,2,4,3,6,5,8,7,10,11,9]=>[9,11,10,7,8,5,6,3,4,2,1,12]
[12,1,2,4,3,6,5,7,9,10,11,8]=>[8,11,10,9,7,5,6,3,4,2,1,12]
[12,1,2,4,3,5,7,8,9,10,6,11]=>[11,6,10,9,8,7,5,3,4,2,1,12]
[12,1,2,4,3,5,7,8,9,6,11,10]=>[10,11,6,9,8,7,5,3,4,2,1,12]
[12,1,2,4,3,5,7,8,6,10,11,9]=>[9,11,10,6,8,7,5,3,4,2,1,12]
[12,1,2,4,3,5,7,6,9,10,11,8]=>[8,11,10,9,6,7,5,3,4,2,1,12]
[12,1,2,4,3,5,6,8,9,10,11,7]=>[7,11,10,9,8,6,5,3,4,2,1,12]
[12,1,2,3,5,6,7,8,4,10,9,11]=>[11,9,10,4,8,7,6,5,3,2,1,12]
[12,1,2,3,5,6,7,8,4,9,11,10]=>[10,11,9,4,8,7,6,5,3,2,1,12]
[12,1,2,3,5,6,7,4,9,10,8,11]=>[11,8,10,9,4,7,6,5,3,2,1,12]
[12,1,2,3,5,6,7,4,9,8,11,10]=>[10,11,8,9,4,7,6,5,3,2,1,12]
[12,1,2,3,5,6,7,4,8,10,11,9]=>[9,11,10,8,4,7,6,5,3,2,1,12]
[12,1,2,3,5,6,4,8,9,10,7,11]=>[11,7,10,9,8,4,6,5,3,2,1,12]
[12,1,2,3,5,6,4,8,9,7,11,10]=>[10,11,7,9,8,4,6,5,3,2,1,12]
[12,1,2,3,5,6,4,8,7,10,11,9]=>[9,11,10,7,8,4,6,5,3,2,1,12]
[12,1,2,3,5,6,4,7,9,10,11,8]=>[8,11,10,9,7,4,6,5,3,2,1,12]
[12,1,2,3,5,4,7,8,9,10,6,11]=>[11,6,10,9,8,7,4,5,3,2,1,12]
[12,1,2,3,5,4,7,8,9,6,11,10]=>[10,11,6,9,8,7,4,5,3,2,1,12]
[12,1,2,3,5,4,7,8,6,10,11,9]=>[9,11,10,6,8,7,4,5,3,2,1,12]
[12,1,2,3,5,4,7,6,9,10,11,8]=>[8,11,10,9,6,7,4,5,3,2,1,12]
[12,1,2,3,5,4,6,8,9,10,11,7]=>[7,11,10,9,8,6,4,5,3,2,1,12]
[12,1,2,3,4,6,7,8,9,10,5,11]=>[11,5,10,9,8,7,6,4,3,2,1,12]
[12,1,2,3,4,6,7,8,9,5,11,10]=>[10,11,5,9,8,7,6,4,3,2,1,12]
[12,1,2,3,4,6,7,8,5,10,11,9]=>[9,11,10,5,8,7,6,4,3,2,1,12]
[12,1,2,3,4,6,7,5,9,10,11,8]=>[8,11,10,9,5,7,6,4,3,2,1,12]
[12,1,2,3,4,6,5,8,9,10,11,7]=>[7,11,10,9,8,5,6,4,3,2,1,12]
[12,1,2,3,4,5,7,8,9,10,11,6]=>[6,11,10,9,8,7,5,4,3,2,1,12]
[11,1,2,3,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,3,2,1,11]
[2,3,4,5,6,7,8,9,10,11,1,12]=>[12,1,11,10,9,8,7,6,5,4,3,2]
[12,11,2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2,11,12]
[10,9,2,4,6,8,12,1,3,5,7,11]=>[11,7,5,3,1,12,8,6,4,2,9,10]
[2,12,9,11,4,6,8,10,1,3,5,7]=>[7,5,3,1,10,8,6,4,11,9,12,2]
[12,11,10,9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9,10,11,12]
[8,7,2,4,6,10,12,1,3,5,9,11]=>[11,9,5,3,1,12,10,6,4,2,7,8]
[8,12,7,11,2,4,6,10,1,3,5,9]=>[9,5,3,1,10,6,4,2,11,7,12,8]
[2,10,7,9,4,6,8,12,1,3,5,11]=>[11,5,3,1,12,8,6,4,9,7,10,2]
[2,4,12,7,9,11,6,8,10,1,3,5]=>[5,3,1,10,8,6,11,9,7,12,4,2]
[12,11,2,10,7,9,4,6,8,1,3,5]=>[5,3,1,8,6,4,9,7,10,2,11,12]
[10,9,8,7,2,4,6,12,1,3,5,11]=>[11,5,3,1,12,6,4,2,7,8,9,10]
[12,9,2,8,7,11,4,6,10,1,3,5]=>[5,3,1,10,6,4,11,7,8,2,9,12]
[8,12,7,11,10,9,2,4,6,1,3,5]=>[5,3,1,6,4,2,9,10,11,7,12,8]
[12,11,10,9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9,10,11,12]
[6,5,2,4,8,10,12,1,3,7,9,11]=>[11,9,7,3,1,12,10,8,4,2,5,6]
[6,12,5,11,2,4,8,10,1,3,7,9]=>[9,7,3,1,10,8,4,2,11,5,12,6]
[6,10,5,9,2,4,8,12,1,3,7,11]=>[11,7,3,1,12,8,4,2,9,5,10,6]
[6,5,12,9,11,2,4,8,10,1,3,7]=>[7,3,1,10,8,4,2,11,9,12,5,6]
[12,11,6,10,5,9,2,4,8,1,3,7]=>[7,3,1,8,4,2,9,5,10,6,11,12]
[2,8,5,7,4,6,10,12,1,3,9,11]=>[11,9,3,1,12,10,6,4,7,5,8,2]
[2,8,12,5,7,11,4,6,10,1,3,9]=>[9,3,1,10,6,4,11,7,5,12,8,2]
[10,5,2,4,7,9,6,8,12,1,3,11]=>[11,3,1,12,8,6,9,7,4,2,5,10]
[12,5,7,2,4,6,9,11,8,10,1,3]=>[3,1,10,8,11,9,6,4,2,7,5,12]
[12,5,11,10,2,4,7,9,6,8,1,3]=>[3,1,8,6,9,7,4,2,10,11,5,12]
[10,9,2,8,5,7,4,6,12,1,3,11]=>[11,3,1,12,6,4,7,5,8,2,9,10]
[12,5,9,8,2,4,7,11,6,10,1,3]=>[3,1,10,6,11,7,4,2,8,9,5,12]
[2,12,5,11,8,10,7,9,4,6,1,3]=>[3,1,6,4,9,7,10,8,11,5,12,2]
[12,11,10,9,2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2,9,10,11,12]
[8,7,6,5,2,4,10,12,1,3,9,11]=>[11,9,3,1,12,10,4,2,5,6,7,8]
[8,7,6,12,5,11,2,4,10,1,3,9]=>[9,3,1,10,4,2,11,5,12,6,7,8]
[10,7,2,6,5,9,4,8,12,1,3,11]=>[11,3,1,12,8,4,9,5,6,2,7,10]
[7,6,12,5,2,4,9,11,8,10,1,3]=>[3,1,10,8,11,9,4,2,5,12,6,7]
[2,12,7,11,6,10,5,9,4,8,1,3]=>[3,1,8,4,9,5,10,6,11,7,12,2]
[6,10,5,9,8,7,2,4,12,1,3,11]=>[11,3,1,12,4,2,7,8,9,5,10,6]
[2,12,6,9,5,8,7,11,4,10,1,3]=>[3,1,10,4,11,7,8,5,9,6,12,2]
[6,8,12,5,7,11,10,9,2,4,1,3]=>[3,1,4,2,9,10,11,7,5,12,8,6]
[12,11,6,10,5,9,8,7,2,4,1,3]=>[3,1,4,2,7,8,9,5,10,6,11,12]
[10,9,8,7,6,5,2,4,12,1,3,11]=>[11,3,1,12,4,2,5,6,7,8,9,10]
[12,9,8,7,2,6,5,11,4,10,1,3]=>[3,1,10,4,11,5,6,2,7,8,9,12]
[8,7,6,12,5,11,10,9,2,4,1,3]=>[3,1,4,2,9,10,11,5,12,6,7,8]
[7,12,6,11,10,9,8,5,2,4,1,3]=>[3,1,4,2,5,8,9,10,11,6,12,7]
[12,11,10,9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9,10,11,12]
[4,3,2,6,8,10,12,1,5,7,9,11]=>[11,9,7,5,1,12,10,8,6,2,3,4]
[4,12,3,11,2,6,8,10,1,5,7,9]=>[9,7,5,1,10,8,6,2,11,3,12,4]
[4,10,3,9,2,6,8,12,1,5,7,11]=>[11,7,5,1,12,8,6,2,9,3,10,4]
[4,3,12,9,11,2,6,8,10,1,5,7]=>[7,5,1,10,8,6,2,11,9,12,3,4]
[12,11,4,10,3,9,2,6,8,1,5,7]=>[7,5,1,8,6,2,9,3,10,4,11,12]
[4,8,3,7,2,6,10,12,1,5,9,11]=>[11,9,5,1,12,10,6,2,7,3,8,4]
[4,8,12,3,7,11,2,6,10,1,5,9]=>[9,5,1,10,6,2,11,7,3,12,8,4]
[4,3,10,7,9,2,6,8,12,1,5,11]=>[11,5,1,12,8,6,2,9,7,10,3,4]
[4,3,7,9,12,11,2,6,8,10,1,5]=>[5,1,10,8,6,2,11,12,9,7,3,4]
[12,4,11,3,10,7,9,2,6,8,1,5]=>[5,1,8,6,2,9,7,10,3,11,4,12]
[10,9,4,8,3,7,2,6,12,1,5,11]=>[11,5,1,12,6,2,7,3,8,4,9,10]
[12,4,9,3,8,7,11,2,6,10,1,5]=>[5,1,10,6,2,11,7,8,3,9,4,12]
[4,8,12,11,10,3,7,9,2,6,1,5]=>[5,1,6,2,9,7,3,10,11,12,8,4]
[12,11,10,9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9,10,11,12]
[3,6,2,5,4,8,10,12,1,7,9,11]=>[11,9,7,1,12,10,8,4,5,2,6,3]
[3,6,12,2,5,11,4,8,10,1,7,9]=>[9,7,1,10,8,4,11,5,2,12,6,3]
[3,6,10,2,5,9,4,8,12,1,7,11]=>[11,7,1,12,8,4,9,5,2,10,6,3]
[3,12,6,2,5,9,11,4,8,10,1,7]=>[7,1,10,8,4,11,9,5,2,6,12,3]
[12,11,3,6,10,2,5,9,4,8,1,7]=>[7,1,8,4,9,5,2,10,6,3,11,12]
[3,5,8,2,4,7,6,10,12,1,9,11]=>[11,9,1,12,10,6,7,4,2,8,5,3]
[3,5,8,12,2,4,7,11,6,10,1,9]=>[9,1,10,6,11,7,4,2,12,8,5,3]
[3,5,7,10,2,4,6,9,8,12,1,11]=>[11,1,12,8,9,6,4,2,10,7,5,3]
[3,5,7,9,12,2,4,6,8,11,10,1]=>[1,10,11,8,6,4,2,12,9,7,5,3]
[12,11,3,5,7,10,2,4,6,9,8,1]=>[1,8,9,6,4,2,10,7,5,3,11,12]
[10,9,3,5,8,2,4,7,6,12,1,11]=>[11,1,12,6,7,4,2,8,5,3,9,10]
[9,8,3,5,7,12,2,4,6,11,10,1]=>[1,10,11,6,4,2,12,7,5,3,8,9]
[3,5,12,11,8,10,2,4,7,9,6,1]=>[1,6,9,7,4,2,10,8,11,12,5,3]
[12,11,10,9,3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3,9,10,11,12]
[8,7,3,6,2,5,4,10,12,1,9,11]=>[11,9,1,12,10,4,5,2,6,3,7,8]
[8,7,3,6,12,2,5,11,4,10,1,9]=>[9,1,10,4,11,5,2,12,6,3,7,8]
[7,6,3,5,10,2,4,9,8,12,1,11]=>[11,1,12,8,9,4,2,10,5,3,6,7]
[7,6,3,5,9,12,2,4,8,11,10,1]=>[1,10,11,8,4,2,12,9,5,3,6,7]
[7,12,6,11,3,5,10,2,4,9,8,1]=>[1,8,9,4,2,10,5,3,11,6,12,7]
[3,6,10,9,8,2,5,7,4,12,1,11]=>[11,1,12,4,7,5,2,8,9,10,6,3]
[3,9,6,8,5,7,12,2,4,11,10,1]=>[1,10,11,4,2,12,7,5,8,6,9,3]
[3,2,12,6,8,11,10,5,7,9,4,1]=>[1,4,9,7,5,10,11,8,6,12,2,3]
[12,11,3,6,10,9,8,2,5,7,4,1]=>[1,4,7,5,2,8,9,10,6,3,11,12]
[10,9,8,7,3,6,2,5,4,12,1,11]=>[11,1,12,4,5,2,6,3,7,8,9,10]
[9,8,7,6,3,5,12,2,4,11,10,1]=>[1,10,11,4,2,12,5,3,6,7,8,9]
[8,7,3,6,12,11,10,2,5,9,4,1]=>[1,4,9,5,2,10,11,12,6,3,7,8]
[3,12,7,11,10,9,6,8,2,5,4,1]=>[1,4,5,2,8,6,9,10,11,7,12,3]
[12,11,10,9,8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8,9,10,11,12]
[6,5,4,3,2,8,10,12,1,7,9,11]=>[11,9,7,1,12,10,8,2,3,4,5,6]
[6,5,4,12,3,11,2,8,10,1,7,9]=>[9,7,1,10,8,2,11,3,12,4,5,6]
[6,5,4,10,3,9,2,8,12,1,7,11]=>[11,7,1,12,8,2,9,3,10,4,5,6]
[6,12,5,4,3,9,11,2,8,10,1,7]=>[7,1,10,8,2,11,9,3,4,5,12,6]
[5,4,3,8,2,7,6,10,12,1,9,11]=>[11,9,1,12,10,6,7,2,8,3,4,5]
[5,4,3,8,12,2,7,11,6,10,1,9]=>[9,1,10,6,11,7,2,12,8,3,4,5]
[5,4,3,7,10,2,6,9,8,12,1,11]=>[11,1,12,8,9,6,2,10,7,3,4,5]
[5,4,3,7,9,12,2,6,8,11,10,1]=>[1,10,11,8,6,2,12,9,7,3,4,5]
[5,12,4,11,3,7,10,2,6,9,8,1]=>[1,8,9,6,2,10,7,3,11,4,12,5]
[5,10,4,9,3,8,2,7,6,12,1,11]=>[11,1,12,6,7,2,8,3,9,4,10,5]
[5,9,4,8,3,7,12,2,6,11,10,1]=>[1,10,11,6,2,12,7,3,8,4,9,5]
[12,11,5,4,3,8,10,2,7,9,6,1]=>[1,6,9,7,2,10,8,3,4,5,11,12]
[12,11,5,10,4,9,3,8,2,7,6,1]=>[1,6,7,2,8,3,9,4,10,5,11,12]
[4,8,3,7,6,5,2,10,12,1,9,11]=>[11,9,1,12,10,2,5,6,7,3,8,4]
[4,8,3,7,6,12,5,11,2,10,1,9]=>[9,1,10,2,11,5,12,6,7,3,8,4]
[4,7,3,6,5,10,2,9,8,12,1,11]=>[11,1,12,8,9,2,10,5,6,3,7,4]
[4,7,3,6,5,9,12,2,8,11,10,1]=>[1,10,11,8,2,12,9,5,6,3,7,4]
[4,7,12,3,6,11,5,10,2,9,8,1]=>[1,8,9,2,10,5,11,6,3,12,7,4]
[4,6,10,3,5,9,8,7,2,12,1,11]=>[11,1,12,2,7,8,9,5,3,10,6,4]
[4,6,9,3,5,8,7,12,2,11,10,1]=>[1,10,11,2,12,7,8,5,3,9,6,4]
[4,6,8,12,3,5,7,11,10,9,2,1]=>[1,2,9,10,11,7,5,3,12,8,6,4]
[12,11,4,6,10,3,5,9,8,7,2,1]=>[1,2,7,8,9,5,3,10,6,4,11,12]
[10,9,4,8,3,7,6,5,2,12,1,11]=>[11,1,12,2,5,6,7,3,8,4,9,10]
[9,8,4,7,3,6,5,12,2,11,10,1]=>[1,10,11,2,12,5,6,3,7,4,8,9]
[8,7,4,6,12,3,5,11,10,9,2,1]=>[1,2,9,10,11,5,3,12,6,4,7,8]
[4,7,12,11,10,3,6,9,8,5,2,1]=>[1,2,5,8,9,6,3,10,11,12,7,4]
[12,11,10,9,4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4,9,10,11,12]
[8,7,6,5,4,3,2,10,12,1,9,11]=>[11,9,1,12,10,2,3,4,5,6,7,8]
[8,7,6,5,4,12,3,11,2,10,1,9]=>[9,1,10,2,11,3,12,4,5,6,7,8]
[7,6,5,4,3,10,2,9,8,12,1,11]=>[11,1,12,8,9,2,10,3,4,5,6,7]
[7,6,5,4,3,9,12,2,8,11,10,1]=>[1,10,11,8,2,12,9,3,4,5,6,7]
[7,6,5,12,4,11,3,10,2,9,8,1]=>[1,8,9,2,10,3,11,4,12,5,6,7]
[6,5,4,10,3,9,8,7,2,12,1,11]=>[11,1,12,2,7,8,9,3,10,4,5,6]
[6,5,4,9,3,8,7,12,2,11,10,1]=>[1,10,11,2,12,7,8,3,9,4,5,6]
[6,5,4,8,12,3,7,11,10,9,2,1]=>[1,2,9,10,11,7,3,12,8,4,5,6]
[6,12,5,11,4,10,3,9,8,7,2,1]=>[1,2,7,8,9,3,10,4,11,5,12,6]
[5,10,4,9,8,7,6,3,2,12,1,11]=>[11,1,12,2,3,6,7,8,9,4,10,5]
[5,9,4,8,7,6,3,12,2,11,10,1]=>[1,10,11,2,12,3,6,7,8,4,9,5]
[5,8,4,7,6,12,3,11,10,9,2,1]=>[1,2,9,10,11,3,12,6,7,4,8,5]
[5,7,12,4,6,11,10,9,8,3,2,1]=>[1,2,3,8,9,10,11,6,4,12,7,5]
[12,11,5,10,4,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,4,10,5,11,12]
[10,9,8,7,6,5,4,3,2,12,1,11]=>[11,1,12,2,3,4,5,6,7,8,9,10]
[9,8,7,6,5,4,3,12,2,11,10,1]=>[1,10,11,2,12,3,4,5,6,7,8,9]
[8,7,6,5,4,12,3,11,10,9,2,1]=>[1,2,9,10,11,3,12,4,5,6,7,8]
[7,6,5,12,4,11,10,9,8,3,2,1]=>[1,2,3,8,9,10,11,4,12,5,6,7]
[6,12,5,11,10,9,8,7,4,3,2,1]=>[1,2,3,4,7,8,9,10,11,5,12,6]
[1,3,5,7,9,12,2,4,6,8,10,11]=>[11,10,8,6,4,2,12,9,7,5,3,1]
[9,12,1,3,5,7,11,2,4,6,8,10]=>[10,8,6,4,2,11,7,5,3,1,12,9]
[7,9,1,3,5,8,12,2,4,6,10,11]=>[11,10,6,4,2,12,8,5,3,1,9,7]
[12,7,9,1,3,5,8,11,2,4,6,10]=>[10,6,4,2,11,8,5,3,1,9,7,12]
[7,8,12,11,1,3,5,10,2,4,6,9]=>[9,6,4,2,10,5,3,1,11,12,8,7]
[5,7,1,3,6,9,12,2,4,8,10,11]=>[11,10,8,4,2,12,9,6,3,1,7,5]
[5,6,9,12,1,3,7,11,2,4,8,10]=>[10,8,4,2,11,7,3,1,12,9,6,5]
[9,5,7,1,3,6,8,12,2,4,10,11]=>[11,10,4,2,12,8,6,3,1,7,5,9]
[6,12,5,9,1,3,7,8,11,2,4,10]=>[10,4,2,11,8,7,3,1,9,5,12,6]
[8,6,12,5,11,1,3,7,10,2,4,9]=>[9,4,2,10,7,3,1,11,5,12,6,8]
[5,6,9,8,1,3,7,12,2,4,10,11]=>[11,10,4,2,12,7,3,1,8,9,6,5]
[5,6,8,12,9,1,3,7,11,2,4,10]=>[10,4,2,11,7,3,1,9,12,8,6,5]
[6,12,5,8,7,11,1,3,10,2,4,9]=>[9,4,2,10,3,1,11,7,8,5,12,6]
[5,6,7,12,11,10,1,3,9,2,4,8]=>[8,4,2,9,3,1,10,11,12,7,6,5]
[3,5,1,4,7,9,12,2,6,8,10,11]=>[11,10,8,6,2,12,9,7,4,1,5,3]
[3,4,9,12,1,5,7,11,2,6,8,10]=>[10,8,6,2,11,7,5,1,12,9,4,3]
[3,4,7,9,1,5,8,12,2,6,10,11]=>[11,10,6,2,12,8,5,1,9,7,4,3]
[12,3,4,7,9,1,5,8,11,2,6,10]=>[10,6,2,11,8,5,1,9,7,4,3,12]
[7,8,12,3,4,11,1,5,10,2,6,9]=>[9,6,2,10,5,1,11,4,3,12,8,7]
[7,3,5,1,4,6,9,12,2,8,10,11]=>[11,10,8,2,12,9,6,4,1,5,3,7]
[6,3,4,9,12,1,5,7,11,2,8,10]=>[10,8,2,11,7,5,1,12,9,4,3,6]
[4,9,3,7,1,5,6,8,12,2,10,11]=>[11,10,2,12,8,6,5,1,7,3,9,4]
[4,6,12,3,9,1,5,7,8,11,2,10]=>[10,2,11,8,7,5,1,9,3,12,6,4]
[8,4,6,12,3,11,1,5,7,10,2,9]=>[9,2,10,7,5,1,11,3,12,6,4,8]
[6,4,9,3,8,1,5,7,12,2,10,11]=>[11,10,2,12,7,5,1,8,3,9,4,6]
[6,4,8,12,3,9,1,5,7,11,2,10]=>[10,2,11,7,5,1,9,3,12,8,4,6]
[4,6,12,8,3,7,11,1,5,10,2,9]=>[9,2,10,5,1,11,7,3,8,12,6,4]
[6,4,7,12,11,3,10,1,5,9,2,8]=>[8,2,9,5,1,10,3,11,12,7,4,6]
[3,4,7,6,1,5,9,12,2,8,10,11]=>[11,10,8,2,12,9,5,1,6,7,4,3]
[3,4,6,5,9,12,1,7,11,2,8,10]=>[10,8,2,11,7,1,12,9,5,6,4,3]
[3,4,6,9,7,1,5,8,12,2,10,11]=>[11,10,2,12,8,5,1,7,9,6,4,3]
[12,3,4,6,5,9,1,7,8,11,2,10]=>[10,2,11,8,7,1,9,5,6,4,3,12]
[8,12,3,4,6,5,11,1,7,10,2,9]=>[9,2,10,7,1,11,5,6,4,3,12,8]
[4,9,3,6,5,8,1,7,12,2,10,11]=>[11,10,2,12,7,1,8,5,6,3,9,4]
[4,8,3,5,12,6,9,1,7,11,2,10]=>[10,2,11,7,1,9,6,12,5,3,8,4]
[12,4,8,3,6,5,7,11,1,10,2,9]=>[9,2,10,1,11,7,5,6,3,8,4,12]
[4,7,5,12,3,11,6,10,1,9,2,8]=>[8,2,9,1,10,6,11,3,12,5,7,4]
[3,4,5,9,8,7,1,6,12,2,10,11]=>[11,10,2,12,6,1,7,8,9,5,4,3]
[3,4,5,8,7,12,9,1,6,11,2,10]=>[10,2,11,6,1,9,12,7,8,5,4,3]
[7,3,4,5,12,8,6,11,1,10,2,9]=>[9,2,10,1,11,6,8,12,5,4,3,7]
[4,5,12,3,7,6,11,10,1,9,2,8]=>[8,2,9,1,10,11,6,7,3,12,5,4]
[3,4,5,6,12,11,10,9,1,8,2,7]=>[7,2,8,1,9,10,11,12,6,5,4,3]
[1,3,2,5,7,9,12,4,6,8,10,11]=>[11,10,8,6,4,12,9,7,5,2,3,1]
[1,2,9,12,3,5,7,11,4,6,8,10]=>[10,8,6,4,11,7,5,3,12,9,2,1]
[1,2,7,9,3,5,8,12,4,6,10,11]=>[11,10,6,4,12,8,5,3,9,7,2,1]
[12,1,2,7,9,3,5,8,11,4,6,10]=>[10,6,4,11,8,5,3,9,7,2,1,12]
[7,8,12,1,2,11,3,5,10,4,6,9]=>[9,6,4,10,5,3,11,2,1,12,8,7]
[1,2,5,7,3,6,9,12,4,8,10,11]=>[11,10,8,4,12,9,6,3,7,5,2,1]
[1,2,5,6,9,12,3,7,11,4,8,10]=>[10,8,4,11,7,3,12,9,6,5,2,1]
[9,1,2,5,7,3,6,8,12,4,10,11]=>[11,10,4,12,8,6,3,7,5,2,1,9]
[6,12,1,2,5,9,3,7,8,11,4,10]=>[10,4,11,8,7,3,9,5,2,1,12,6]
[8,6,12,1,2,5,11,3,7,10,4,9]=>[9,4,10,7,3,11,5,2,1,12,6,8]
[5,6,9,1,2,8,3,7,12,4,10,11]=>[11,10,4,12,7,3,8,2,1,9,6,5]
[5,6,8,12,1,2,9,3,7,11,4,10]=>[10,4,11,7,3,9,2,1,12,8,6,5]
[6,12,5,8,1,2,7,11,3,10,4,9]=>[9,4,10,3,11,7,2,1,8,5,12,6]
[5,6,7,12,11,1,2,10,3,9,4,8]=>[8,4,9,3,10,2,1,11,12,7,6,5]
[5,1,3,2,4,7,9,12,6,8,10,11]=>[11,10,8,6,12,9,7,4,2,3,1,5]
[4,1,2,9,12,3,5,7,11,6,8,10]=>[10,8,6,11,7,5,3,12,9,2,1,4]
[4,1,2,7,9,3,5,8,12,6,10,11]=>[11,10,6,12,8,5,3,9,7,2,1,4]
[2,12,1,4,7,9,3,5,8,11,6,10]=>[10,6,11,8,5,3,9,7,4,1,12,2]
[2,7,8,12,1,4,11,3,5,10,6,9]=>[9,6,10,5,3,11,4,1,12,8,7,2]
[2,7,1,5,3,4,6,9,12,8,10,11]=>[11,10,8,12,9,6,4,3,5,1,7,2]
[2,6,1,4,9,12,3,5,7,11,8,10]=>[10,8,11,7,5,3,12,9,4,1,6,2]
[2,4,9,1,7,3,5,6,8,12,10,11]=>[11,10,12,8,6,5,3,7,1,9,4,2]
[2,4,6,12,1,9,3,5,7,8,11,10]=>[10,11,8,7,5,3,9,1,12,6,4,2]
[8,2,4,6,12,1,11,3,5,7,10,9]=>[9,10,7,5,3,11,1,12,6,4,2,8]
[6,2,4,9,1,8,3,5,7,12,10,11]=>[11,10,12,7,5,3,8,1,9,4,2,6]
[6,2,4,8,12,1,9,3,5,7,11,10]=>[10,11,7,5,3,9,1,12,8,4,2,6]
[4,6,12,2,8,1,7,11,3,5,10,9]=>[9,10,5,3,11,7,1,8,2,12,6,4]
[6,4,7,12,2,11,1,10,3,5,9,8]=>[8,9,5,3,10,1,11,2,12,7,4,6]
[4,2,7,1,6,3,5,9,12,8,10,11]=>[11,10,8,12,9,5,3,6,1,7,2,4]
[4,2,6,1,5,9,12,3,7,11,8,10]=>[10,8,11,7,3,12,9,5,1,6,2,4]
[4,2,6,9,1,7,3,5,8,12,10,11]=>[11,10,12,8,5,3,7,1,9,6,2,4]
[2,12,4,6,1,5,9,3,7,8,11,10]=>[10,11,8,7,3,9,5,1,6,4,12,2]
[2,8,12,4,6,1,5,11,3,7,10,9]=>[9,10,7,3,11,5,1,6,4,12,8,2]
[2,4,9,6,1,5,8,3,7,12,10,11]=>[11,10,12,7,3,8,5,1,6,9,4,2]
[2,4,8,5,12,1,6,9,3,7,11,10]=>[10,11,7,3,9,6,1,12,5,8,4,2]
[12,2,4,8,6,1,5,7,11,3,10,9]=>[9,10,3,11,7,5,1,6,8,4,2,12]
[4,7,2,5,12,11,1,6,10,3,9,8]=>[8,9,3,10,6,1,11,12,5,2,7,4]
[4,2,5,9,8,1,7,3,6,12,10,11]=>[11,10,12,6,3,7,1,8,9,5,2,4]
[4,2,5,8,7,12,1,9,3,6,11,10]=>[10,11,6,3,9,1,12,7,8,5,2,4]
[2,7,4,5,12,8,1,6,11,3,10,9]=>[9,10,3,11,6,1,8,12,5,4,7,2]
[2,4,5,12,7,6,11,1,10,3,9,8]=>[8,9,3,10,1,11,6,7,12,5,4,2]
[4,2,5,6,12,11,10,1,9,3,8,7]=>[7,8,3,9,1,10,11,12,6,5,2,4]
[1,2,5,4,3,7,9,12,6,8,10,11]=>[11,10,8,6,12,9,7,3,4,5,2,1]
[1,2,4,3,9,12,5,7,11,6,8,10]=>[10,8,6,11,7,5,12,9,3,4,2,1]
[1,2,4,3,7,9,5,8,12,6,10,11]=>[11,10,6,12,8,5,9,7,3,4,2,1]
[1,2,3,12,4,7,9,5,8,11,6,10]=>[10,6,11,8,5,9,7,4,12,3,2,1]
[1,2,3,7,8,12,4,11,5,10,6,9]=>[9,6,10,5,11,4,12,8,7,3,2,1]
[1,2,4,7,5,3,6,9,12,8,10,11]=>[11,10,8,12,9,6,3,5,7,4,2,1]
[1,2,4,6,3,9,12,5,7,11,8,10]=>[10,8,11,7,5,12,9,3,6,4,2,1]
[9,1,2,4,3,7,5,6,8,12,10,11]=>[11,10,12,8,6,5,7,3,4,2,1,9]
[6,1,2,3,12,4,9,5,7,8,11,10]=>[10,11,8,7,5,9,4,12,3,2,1,6]
[3,8,1,2,6,12,4,11,5,7,10,9]=>[9,10,7,5,11,4,12,6,2,1,8,3]
[6,9,1,2,4,3,8,5,7,12,10,11]=>[11,10,12,7,5,8,3,4,2,1,9,6]
[6,8,1,2,3,12,4,9,5,7,11,10]=>[10,11,7,5,9,4,12,3,2,1,8,6]
[6,3,12,1,2,8,4,7,11,5,10,9]=>[9,10,5,11,7,4,8,2,1,12,3,6]
[6,7,3,12,1,2,11,4,10,5,9,8]=>[8,9,5,10,4,11,2,1,12,3,7,6]
[2,7,1,4,3,6,5,9,12,8,10,11]=>[11,10,8,12,9,5,6,3,4,1,7,2]
[2,6,1,4,3,5,9,12,7,11,8,10]=>[10,8,11,7,12,9,5,3,4,1,6,2]
[2,6,1,3,9,4,7,5,8,12,10,11]=>[11,10,12,8,5,7,4,9,3,1,6,2]
[2,3,12,1,6,4,5,9,7,8,11,10]=>[10,11,8,7,9,5,4,6,1,12,3,2]
[2,3,8,12,1,6,4,5,11,7,10,9]=>[9,10,7,11,5,4,6,1,12,8,3,2]
[9,2,6,1,4,3,5,8,7,12,10,11]=>[11,10,12,7,8,5,3,4,1,6,2,9]
[8,2,5,1,3,12,4,6,9,7,11,10]=>[10,11,7,9,6,4,12,3,1,5,2,8]
[3,12,2,8,1,6,4,5,7,11,10,9]=>[9,10,11,7,5,4,6,1,8,2,12,3]
[7,5,2,3,12,1,11,4,6,10,9,8]=>[8,9,10,6,4,11,1,12,3,2,5,7]
[2,5,3,9,1,8,4,7,6,12,10,11]=>[11,10,12,6,7,4,8,1,9,3,5,2]
[2,5,3,8,1,7,12,4,9,6,11,10]=>[10,11,6,9,4,12,7,1,8,3,5,2]
[2,3,7,5,12,1,8,4,6,11,10,9]=>[9,10,11,6,4,8,1,12,5,7,3,2]
[5,2,3,12,7,1,6,11,4,10,9,8]=>[8,9,10,4,11,6,1,7,12,3,2,5]
[2,5,3,6,12,11,1,10,4,9,8,7]=>[7,8,9,4,10,1,11,12,6,3,5,2]
[1,2,3,7,6,5,4,9,12,8,10,11]=>[11,10,8,12,9,4,5,6,7,3,2,1]
[1,2,3,6,5,4,9,12,7,11,8,10]=>[10,8,11,7,12,9,4,5,6,3,2,1]
[1,2,3,6,5,9,7,4,8,12,10,11]=>[11,10,12,8,4,7,9,5,6,3,2,1]
[1,2,3,5,12,6,4,9,7,8,11,10]=>[10,11,8,7,9,4,6,12,5,3,2,1]
[1,2,3,5,8,12,6,4,11,7,10,9]=>[9,10,7,11,4,6,12,8,5,3,2,1]
[5,1,2,3,9,6,4,8,7,12,10,11]=>[11,10,12,7,8,4,6,9,3,2,1,5]
[5,1,2,3,8,4,12,6,9,7,11,10]=>[10,11,7,9,6,12,4,8,3,2,1,5]
[3,12,1,2,5,8,6,4,7,11,10,9]=>[9,10,11,7,4,6,8,5,2,1,12,3]
[7,3,12,1,2,5,4,11,6,10,9,8]=>[8,9,10,6,11,4,5,2,1,12,3,7]
[2,3,9,1,5,4,8,7,6,12,10,11]=>[11,10,12,6,7,8,4,5,1,9,3,2]
[2,3,8,1,5,4,7,12,9,6,11,10]=>[10,11,6,9,12,7,4,5,1,8,3,2]
[2,3,7,12,1,5,4,8,6,11,10,9]=>[9,10,11,6,8,4,5,1,12,7,3,2]
[3,12,2,7,1,5,4,6,11,10,9,8]=>[8,9,10,11,6,4,5,1,7,2,12,3]
[2,3,6,4,12,1,11,5,10,9,8,7]=>[7,8,9,10,5,11,1,12,4,6,3,2]
[1,2,3,4,9,8,7,6,5,12,10,11]=>[11,10,12,5,6,7,8,9,4,3,2,1]
[1,2,3,4,8,7,6,12,9,5,11,10]=>[10,11,5,9,12,6,7,8,4,3,2,1]
[7,1,2,3,6,4,12,8,5,11,10,9]=>[9,10,11,5,8,12,4,6,3,2,1,7]
[3,6,1,2,4,12,7,5,11,10,9,8]=>[8,9,10,11,5,7,12,4,2,1,6,3]
[2,3,4,12,1,6,5,11,10,9,8,7]=>[7,8,9,10,11,5,6,1,12,4,3,2]
[1,2,3,4,5,12,11,10,9,8,7,6]=>[6,7,8,9,10,11,12,5,4,3,2,1]
[12,2,10,4,8,6,5,7,3,9,1,11]=>[11,1,9,3,7,5,6,8,4,10,2,12]
[12,2,11,4,8,6,5,7,3,9,10,1]=>[1,10,9,3,7,5,6,8,4,11,2,12]
[12,2,10,4,9,6,5,7,8,3,1,11]=>[11,1,3,8,7,5,6,9,4,10,2,12]
[12,2,11,4,9,6,5,7,8,3,10,1]=>[1,10,3,8,7,5,6,9,4,11,2,12]
[12,2,11,4,10,6,5,7,8,9,3,1]=>[1,3,9,8,7,5,6,10,4,11,2,12]
[12,2,10,4,8,7,6,5,3,9,1,11]=>[11,1,9,3,5,6,7,8,4,10,2,12]
[12,2,11,4,8,7,6,5,3,9,10,1]=>[1,10,9,3,5,6,7,8,4,11,2,12]
[12,2,10,4,9,7,6,5,8,3,1,11]=>[11,1,3,8,5,6,7,9,4,10,2,12]
[12,2,11,4,9,7,6,5,8,3,10,1]=>[1,10,3,8,5,6,7,9,4,11,2,12]
[12,2,11,4,10,7,6,5,8,9,3,1]=>[1,3,9,8,5,6,7,10,4,11,2,12]
[12,2,10,4,9,8,6,7,5,3,1,11]=>[11,1,3,5,7,6,8,9,4,10,2,12]
[12,2,11,4,9,8,6,7,5,3,10,1]=>[1,10,3,5,7,6,8,9,4,11,2,12]
[12,2,11,4,10,8,6,7,5,9,3,1]=>[1,3,9,5,7,6,8,10,4,11,2,12]
[12,2,11,4,10,9,6,7,8,5,3,1]=>[1,3,5,8,7,6,9,10,4,11,2,12]
[12,2,10,8,5,6,4,7,3,9,1,11]=>[11,1,9,3,7,4,6,5,8,10,2,12]
[12,2,11,8,5,6,4,7,3,9,10,1]=>[1,10,9,3,7,4,6,5,8,11,2,12]
[12,2,10,9,5,6,4,7,8,3,1,11]=>[11,1,3,8,7,4,6,5,9,10,2,12]
[12,2,11,9,5,6,4,7,8,3,10,1]=>[1,10,3,8,7,4,6,5,9,11,2,12]
[12,2,11,10,5,6,4,7,8,9,3,1]=>[1,3,9,8,7,4,6,5,10,11,2,12]
[12,2,10,8,5,7,6,4,3,9,1,11]=>[11,1,9,3,4,6,7,5,8,10,2,12]
[12,2,11,8,5,7,6,4,3,9,10,1]=>[1,10,9,3,4,6,7,5,8,11,2,12]
[12,2,10,9,5,7,6,4,8,3,1,11]=>[11,1,3,8,4,6,7,5,9,10,2,12]
[12,2,11,9,5,7,6,4,8,3,10,1]=>[1,10,3,8,4,6,7,5,9,11,2,12]
[12,2,11,10,5,7,6,4,8,9,3,1]=>[1,3,9,8,4,6,7,5,10,11,2,12]
[12,2,10,9,5,8,6,7,4,3,1,11]=>[11,1,3,4,7,6,8,5,9,10,2,12]
[12,2,11,9,5,8,6,7,4,3,10,1]=>[1,10,3,4,7,6,8,5,9,11,2,12]
[12,2,11,10,5,8,6,7,4,9,3,1]=>[1,3,9,4,7,6,8,5,10,11,2,12]
[12,2,11,10,5,9,6,7,8,4,3,1]=>[1,3,4,8,7,6,9,5,10,11,2,12]
[12,2,10,8,7,6,5,4,3,9,1,11]=>[11,1,9,3,4,5,6,7,8,10,2,12]
[12,2,11,8,7,6,5,4,3,9,10,1]=>[1,10,9,3,4,5,6,7,8,11,2,12]
[12,2,10,9,7,6,5,4,8,3,1,11]=>[11,1,3,8,4,5,6,7,9,10,2,12]
[12,2,11,9,7,6,5,4,8,3,10,1]=>[1,10,3,8,4,5,6,7,9,11,2,12]
[12,2,11,10,7,6,5,4,8,9,3,1]=>[1,3,9,8,4,5,6,7,10,11,2,12]
[12,2,10,9,8,6,5,7,4,3,1,11]=>[11,1,3,4,7,5,6,8,9,10,2,12]
[12,2,11,9,8,6,5,7,4,3,10,1]=>[1,10,3,4,7,5,6,8,9,11,2,12]
[12,2,11,10,8,6,5,7,4,9,3,1]=>[1,3,9,4,7,5,6,8,10,11,2,12]
[12,2,11,10,9,6,5,7,8,4,3,1]=>[1,3,4,8,7,5,6,9,10,11,2,12]
[12,2,10,9,8,7,6,5,4,3,1,11]=>[11,1,3,4,5,6,7,8,9,10,2,12]
[12,2,11,9,8,7,6,5,4,3,10,1]=>[1,10,3,4,5,6,7,8,9,11,2,12]
[12,2,11,10,8,7,6,5,4,9,3,1]=>[1,3,9,4,5,6,7,8,10,11,2,12]
[12,2,11,10,9,7,6,5,8,4,3,1]=>[1,3,4,8,5,6,7,9,10,11,2,12]
[12,2,11,10,9,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,9,10,11,2,12]
[12,10,3,4,8,6,5,7,2,9,1,11]=>[11,1,9,2,7,5,6,8,4,3,10,12]
[12,11,3,4,8,6,5,7,2,9,10,1]=>[1,10,9,2,7,5,6,8,4,3,11,12]
[12,10,3,4,9,6,5,7,8,2,1,11]=>[11,1,2,8,7,5,6,9,4,3,10,12]
[12,11,3,4,9,6,5,7,8,2,10,1]=>[1,10,2,8,7,5,6,9,4,3,11,12]
[12,11,3,4,10,6,5,7,8,9,2,1]=>[1,2,9,8,7,5,6,10,4,3,11,12]
[12,10,3,4,8,7,6,5,2,9,1,11]=>[11,1,9,2,5,6,7,8,4,3,10,12]
[12,11,3,4,8,7,6,5,2,9,10,1]=>[1,10,9,2,5,6,7,8,4,3,11,12]
[12,10,3,4,9,7,6,5,8,2,1,11]=>[11,1,2,8,5,6,7,9,4,3,10,12]
[12,11,3,4,9,7,6,5,8,2,10,1]=>[1,10,2,8,5,6,7,9,4,3,11,12]
[12,11,3,4,10,7,6,5,8,9,2,1]=>[1,2,9,8,5,6,7,10,4,3,11,12]
[12,10,3,4,9,8,6,7,5,2,1,11]=>[11,1,2,5,7,6,8,9,4,3,10,12]
[12,11,3,4,9,8,6,7,5,2,10,1]=>[1,10,2,5,7,6,8,9,4,3,11,12]
[12,11,3,4,10,8,6,7,5,9,2,1]=>[1,2,9,5,7,6,8,10,4,3,11,12]
[12,11,3,4,10,9,6,7,8,5,2,1]=>[1,2,5,8,7,6,9,10,4,3,11,12]
[12,10,3,8,5,6,4,7,2,9,1,11]=>[11,1,9,2,7,4,6,5,8,3,10,12]
[12,11,3,8,5,6,4,7,2,9,10,1]=>[1,10,9,2,7,4,6,5,8,3,11,12]
[12,10,3,9,5,6,4,7,8,2,1,11]=>[11,1,2,8,7,4,6,5,9,3,10,12]
[12,11,3,9,5,6,4,7,8,2,10,1]=>[1,10,2,8,7,4,6,5,9,3,11,12]
[12,11,3,10,5,6,4,7,8,9,2,1]=>[1,2,9,8,7,4,6,5,10,3,11,12]
[12,10,3,8,5,7,6,4,2,9,1,11]=>[11,1,9,2,4,6,7,5,8,3,10,12]
[12,11,3,8,5,7,6,4,2,9,10,1]=>[1,10,9,2,4,6,7,5,8,3,11,12]
[12,10,3,9,5,7,6,4,8,2,1,11]=>[11,1,2,8,4,6,7,5,9,3,10,12]
[12,11,3,9,5,7,6,4,8,2,10,1]=>[1,10,2,8,4,6,7,5,9,3,11,12]
[12,11,3,10,5,7,6,4,8,9,2,1]=>[1,2,9,8,4,6,7,5,10,3,11,12]
[12,10,3,9,5,8,6,7,4,2,1,11]=>[11,1,2,4,7,6,8,5,9,3,10,12]
[12,11,3,9,5,8,6,7,4,2,10,1]=>[1,10,2,4,7,6,8,5,9,3,11,12]
[12,11,3,10,5,8,6,7,4,9,2,1]=>[1,2,9,4,7,6,8,5,10,3,11,12]
[12,11,3,10,5,9,6,7,8,4,2,1]=>[1,2,4,8,7,6,9,5,10,3,11,12]
[12,10,3,8,7,6,5,4,2,9,1,11]=>[11,1,9,2,4,5,6,7,8,3,10,12]
[12,11,3,8,7,6,5,4,2,9,10,1]=>[1,10,9,2,4,5,6,7,8,3,11,12]
[12,10,3,9,7,6,5,4,8,2,1,11]=>[11,1,2,8,4,5,6,7,9,3,10,12]
[12,11,3,9,7,6,5,4,8,2,10,1]=>[1,10,2,8,4,5,6,7,9,3,11,12]
[12,11,3,10,7,6,5,4,8,9,2,1]=>[1,2,9,8,4,5,6,7,10,3,11,12]
[12,10,3,9,8,6,5,7,4,2,1,11]=>[11,1,2,4,7,5,6,8,9,3,10,12]
[12,11,3,9,8,6,5,7,4,2,10,1]=>[1,10,2,4,7,5,6,8,9,3,11,12]
[12,11,3,10,8,6,5,7,4,9,2,1]=>[1,2,9,4,7,5,6,8,10,3,11,12]
[12,11,3,10,9,6,5,7,8,4,2,1]=>[1,2,4,8,7,5,6,9,10,3,11,12]
[12,10,3,9,8,7,6,5,4,2,1,11]=>[11,1,2,4,5,6,7,8,9,3,10,12]
[12,11,3,9,8,7,6,5,4,2,10,1]=>[1,10,2,4,5,6,7,8,9,3,11,12]
[12,11,3,10,8,7,6,5,4,9,2,1]=>[1,2,9,4,5,6,7,8,10,3,11,12]
[12,11,3,10,9,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,9,10,3,11,12]
[12,11,3,10,9,8,6,7,5,4,2,1]=>[1,2,4,5,7,6,8,9,10,3,11,12]
[12,10,8,4,5,6,3,7,2,9,1,11]=>[11,1,9,2,7,3,6,5,4,8,10,12]
[12,11,8,4,5,6,3,7,2,9,10,1]=>[1,10,9,2,7,3,6,5,4,8,11,12]
[12,10,9,4,5,6,3,7,8,2,1,11]=>[11,1,2,8,7,3,6,5,4,9,10,12]
[12,11,9,4,5,6,3,7,8,2,10,1]=>[1,10,2,8,7,3,6,5,4,9,11,12]
[12,11,10,4,5,6,3,7,8,9,2,1]=>[1,2,9,8,7,3,6,5,4,10,11,12]
[12,10,8,4,5,7,6,3,2,9,1,11]=>[11,1,9,2,3,6,7,5,4,8,10,12]
[12,11,8,4,5,7,6,3,2,9,10,1]=>[1,10,9,2,3,6,7,5,4,8,11,12]
[12,10,9,4,5,7,6,3,8,2,1,11]=>[11,1,2,8,3,6,7,5,4,9,10,12]
[12,11,9,4,5,7,6,3,8,2,10,1]=>[1,10,2,8,3,6,7,5,4,9,11,12]
[12,11,10,4,5,7,6,3,8,9,2,1]=>[1,2,9,8,3,6,7,5,4,10,11,12]
[12,10,9,4,5,8,6,7,3,2,1,11]=>[11,1,2,3,7,6,8,5,4,9,10,12]
[12,11,9,4,5,8,6,7,3,2,10,1]=>[1,10,2,3,7,6,8,5,4,9,11,12]
[12,11,10,4,5,8,6,7,3,9,2,1]=>[1,2,9,3,7,6,8,5,4,10,11,12]
[12,11,10,4,5,9,6,7,8,3,2,1]=>[1,2,3,8,7,6,9,5,4,10,11,12]
[12,10,8,4,7,6,5,3,2,9,1,11]=>[11,1,9,2,3,5,6,7,4,8,10,12]
[12,11,8,4,7,6,5,3,2,9,10,1]=>[1,10,9,2,3,5,6,7,4,8,11,12]
[12,10,9,4,7,6,5,3,8,2,1,11]=>[11,1,2,8,3,5,6,7,4,9,10,12]
[12,11,9,4,7,6,5,3,8,2,10,1]=>[1,10,2,8,3,5,6,7,4,9,11,12]
[12,11,10,4,7,6,5,3,8,9,2,1]=>[1,2,9,8,3,5,6,7,4,10,11,12]
[12,10,9,4,8,6,5,7,3,2,1,11]=>[11,1,2,3,7,5,6,8,4,9,10,12]
[12,11,9,4,8,6,5,7,3,2,10,1]=>[1,10,2,3,7,5,6,8,4,9,11,12]
[12,11,10,4,8,6,5,7,3,9,2,1]=>[1,2,9,3,7,5,6,8,4,10,11,12]
[12,11,10,4,9,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,9,4,10,11,12]
[12,10,9,4,8,7,6,5,3,2,1,11]=>[11,1,2,3,5,6,7,8,4,9,10,12]
[12,11,9,4,8,7,6,5,3,2,10,1]=>[1,10,2,3,5,6,7,8,4,9,11,12]
[12,11,10,4,8,7,6,5,3,9,2,1]=>[1,2,9,3,5,6,7,8,4,10,11,12]
[12,11,10,4,9,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,9,4,10,11,12]
[12,11,10,4,9,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,9,4,10,11,12]
[12,10,8,7,5,6,4,3,2,9,1,11]=>[11,1,9,2,3,4,6,5,7,8,10,12]
[12,11,8,7,5,6,4,3,2,9,10,1]=>[1,10,9,2,3,4,6,5,7,8,11,12]
[12,10,9,7,5,6,4,3,8,2,1,11]=>[11,1,2,8,3,4,6,5,7,9,10,12]
[12,11,9,7,5,6,4,3,8,2,10,1]=>[1,10,2,8,3,4,6,5,7,9,11,12]
[12,11,10,7,5,6,4,3,8,9,2,1]=>[1,2,9,8,3,4,6,5,7,10,11,12]
[12,10,9,8,5,6,4,7,3,2,1,11]=>[11,1,2,3,7,4,6,5,8,9,10,12]
[12,11,9,8,5,6,4,7,3,2,10,1]=>[1,10,2,3,7,4,6,5,8,9,11,12]
[12,11,10,8,5,6,4,7,3,9,2,1]=>[1,2,9,3,7,4,6,5,8,10,11,12]
[12,11,10,9,5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5,9,10,11,12]
[12,10,9,8,5,7,6,4,3,2,1,11]=>[11,1,2,3,4,6,7,5,8,9,10,12]
[12,11,9,8,5,7,6,4,3,2,10,1]=>[1,10,2,3,4,6,7,5,8,9,11,12]
[12,11,10,8,5,7,6,4,3,9,2,1]=>[1,2,9,3,4,6,7,5,8,10,11,12]
[12,11,10,9,5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5,9,10,11,12]
[12,11,10,9,5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5,9,10,11,12]
[12,10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10,12]
[12,11,9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9,11,12]
[12,11,10,8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8,10,11,12]
[12,11,10,9,7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7,9,10,11,12]
[12,11,10,9,8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8,9,10,11,12]
[12,11,1,3,5,7,10,2,4,6,8,9]=>[9,8,6,4,2,10,7,5,3,1,11,12]
[9,8,1,3,5,7,12,2,4,6,10,11]=>[11,10,6,4,2,12,7,5,3,1,8,9]
[8,12,9,11,1,3,5,10,2,4,6,7]=>[7,6,4,2,10,5,3,1,11,9,12,8]
[12,11,10,9,1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1,9,10,11,12]
[7,6,1,3,5,9,12,2,4,8,10,11]=>[11,10,8,4,2,12,9,5,3,1,6,7]
[5,12,6,11,1,3,7,10,2,4,8,9]=>[9,8,4,2,10,7,3,1,11,6,12,5]
[6,9,7,8,1,3,5,12,2,4,10,11]=>[11,10,4,2,12,5,3,1,8,7,9,6]
[6,8,12,7,9,11,1,3,10,2,4,5]=>[5,4,2,10,3,1,11,9,7,12,8,6]
[12,11,6,10,7,9,1,3,8,2,4,5]=>[5,4,2,8,3,1,9,7,10,6,11,12]
[9,8,7,6,1,3,5,12,2,4,10,11]=>[11,10,4,2,12,5,3,1,6,7,8,9]
[8,7,6,12,9,11,1,3,10,2,4,5]=>[5,4,2,10,3,1,11,9,12,6,7,8]
[7,12,8,11,10,9,1,3,6,2,4,5]=>[5,4,2,6,3,1,9,10,11,8,12,7]
[12,11,10,9,8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8,9,10,11,12]
[5,4,1,3,7,9,12,2,6,8,10,11]=>[11,10,8,6,2,12,9,7,3,1,4,5]
[3,12,4,11,1,5,7,10,2,6,8,9]=>[9,8,6,2,10,7,5,1,11,4,12,3]
[3,9,4,8,1,5,7,12,2,6,10,11]=>[11,10,6,2,12,7,5,1,8,4,9,3]
[3,8,12,4,9,11,1,5,10,2,6,7]=>[7,6,2,10,5,1,11,9,4,12,8,3]
[12,11,3,10,4,9,1,5,8,2,6,7]=>[7,6,2,8,5,1,9,4,10,3,11,12]
[4,7,5,6,1,3,9,12,2,8,10,11]=>[11,10,8,2,12,9,3,1,6,5,7,4]
[12,4,6,3,11,1,5,7,10,2,8,9]=>[9,8,2,10,7,5,1,11,3,6,4,12]
[4,6,9,5,7,8,1,3,12,2,10,11]=>[11,10,2,12,3,1,8,7,5,9,6,4]
[4,6,8,12,5,7,9,11,1,10,2,3]=>[3,2,10,1,11,9,7,5,12,8,6,4]
[12,11,4,6,10,5,7,9,1,8,2,3]=>[3,2,8,1,9,7,5,10,6,4,11,12]
[9,8,4,7,5,6,1,3,12,2,10,11]=>[11,10,2,12,3,1,6,5,7,4,8,9]
[8,7,4,6,12,5,9,11,1,10,2,3]=>[3,2,10,1,11,9,5,12,6,4,7,8]
[7,12,8,11,4,10,5,9,1,6,2,3]=>[3,2,6,1,9,5,10,4,11,8,12,7]
[12,11,10,9,4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4,9,10,11,12]
[7,6,5,4,1,3,9,12,2,8,10,11]=>[11,10,8,2,12,9,3,1,4,5,6,7]
[5,4,3,12,6,11,1,7,10,2,8,9]=>[9,8,2,10,7,1,11,6,12,3,4,5]
[6,5,4,9,7,8,1,3,12,2,10,11]=>[11,10,2,12,3,1,8,7,9,4,5,6]
[6,5,4,8,12,7,9,11,1,10,2,3]=>[3,2,10,1,11,9,7,12,8,4,5,6]
[4,12,5,11,6,10,7,9,1,8,2,3]=>[3,2,8,1,9,7,10,6,11,5,12,4]
[5,9,6,8,7,4,1,3,12,2,10,11]=>[11,10,2,12,3,1,4,7,8,6,9,5]
[5,8,6,7,4,12,9,11,1,10,2,3]=>[3,2,10,1,11,9,12,4,7,6,8,5]
[5,7,12,6,8,11,10,9,1,4,2,3]=>[3,2,4,1,9,10,11,8,6,12,7,5]
[12,11,5,10,6,9,8,7,1,4,2,3]=>[3,2,4,1,7,8,9,6,10,5,11,12]
[9,8,7,6,5,4,1,3,12,2,10,11]=>[11,10,2,12,3,1,4,5,6,7,8,9]
[8,7,6,5,4,12,9,11,1,10,2,3]=>[3,2,10,1,11,9,12,4,5,6,7,8]
[7,6,5,12,8,11,10,9,1,4,2,3]=>[3,2,4,1,9,10,11,8,12,5,6,7]
[6,12,7,11,10,9,8,5,1,4,2,3]=>[3,2,4,1,5,8,9,10,11,7,12,6]
[12,11,10,9,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,9,10,11,12]
[3,2,1,5,7,9,12,4,6,8,10,11]=>[11,10,8,6,4,12,9,7,5,1,2,3]
[1,12,2,11,3,5,7,10,4,6,8,9]=>[9,8,6,4,10,7,5,3,11,2,12,1]
[1,9,2,8,3,5,7,12,4,6,10,11]=>[11,10,6,4,12,7,5,3,8,2,9,1]
[1,8,12,2,9,11,3,5,10,4,6,7]=>[7,6,4,10,5,3,11,9,2,12,8,1]
[12,11,1,10,2,9,3,5,8,4,6,7]=>[7,6,4,8,5,3,9,2,10,1,11,12]
[1,7,2,6,3,5,9,12,4,8,10,11]=>[11,10,8,4,12,9,5,3,6,2,7,1]
[1,5,12,2,6,11,3,7,10,4,8,9]=>[9,8,4,10,7,3,11,6,2,12,5,1]
[1,6,9,2,7,8,3,5,12,4,10,11]=>[11,10,4,12,5,3,8,7,2,9,6,1]
[1,6,8,12,2,7,9,11,3,10,4,5]=>[5,4,10,3,11,9,7,2,12,8,6,1]
[12,11,1,6,10,2,7,9,3,8,4,5]=>[5,4,8,3,9,7,2,10,6,1,11,12]
[9,8,1,7,2,6,3,5,12,4,10,11]=>[11,10,4,12,5,3,6,2,7,1,8,9]
[8,7,1,6,12,2,9,11,3,10,4,5]=>[5,4,10,3,11,9,2,12,6,1,7,8]
[7,12,8,11,1,10,2,9,3,6,4,5]=>[5,4,6,3,9,2,10,1,11,8,12,7]
[12,11,10,9,1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1,9,10,11,12]
[2,5,3,4,1,7,9,12,6,8,10,11]=>[11,10,8,6,12,9,7,1,4,3,5,2]
[12,2,4,1,11,3,5,7,10,6,8,9]=>[9,8,6,10,7,5,3,11,1,4,2,12]
[9,2,4,1,8,3,5,7,12,6,10,11]=>[11,10,6,12,7,5,3,8,1,4,2,9]
[8,12,2,1,4,9,11,3,5,10,6,7]=>[7,6,10,5,3,11,9,4,1,2,12,8]
[1,12,11,10,2,4,9,3,5,8,6,7]=>[7,6,8,5,3,9,4,2,10,11,12,1]
[2,4,7,3,5,6,1,9,12,8,10,11]=>[11,10,8,12,9,1,6,5,3,7,4,2]
[12,2,4,6,11,3,1,5,7,10,8,9]=>[9,8,10,7,5,1,3,11,6,4,2,12]
[2,4,6,9,3,5,7,8,1,12,10,11]=>[11,10,12,1,8,7,5,3,9,6,4,2]
[2,4,6,8,12,3,5,7,9,11,10,1]=>[1,10,11,9,7,5,3,12,8,6,4,2]
[12,11,2,4,6,10,3,5,7,9,8,1]=>[1,8,9,7,5,3,10,6,4,2,11,12]
[9,8,2,4,7,3,5,6,1,12,10,11]=>[11,10,12,1,6,5,3,7,4,2,8,9]
[8,7,2,4,6,12,3,5,9,11,10,1]=>[1,10,11,9,5,3,12,6,4,2,7,8]
[7,12,8,11,2,4,10,3,5,9,6,1]=>[1,6,9,5,3,10,4,2,11,8,12,7]
[12,11,10,9,2,4,8,3,5,7,6,1]=>[1,6,7,5,3,8,4,2,9,10,11,12]
[7,6,2,5,3,4,1,9,12,8,10,11]=>[11,10,8,12,9,1,4,3,5,2,6,7]
[5,4,12,2,6,1,11,3,7,10,8,9]=>[9,8,10,7,3,11,1,6,2,12,4,5]
[6,5,2,4,9,3,7,8,1,12,10,11]=>[11,10,12,1,8,7,3,9,4,2,5,6]
[6,5,2,4,8,12,3,7,9,11,10,1]=>[1,10,11,9,7,3,12,8,4,2,5,6]
[4,12,5,11,2,6,10,3,7,9,8,1]=>[1,8,9,7,3,10,6,2,11,5,12,4]
[5,9,6,8,2,7,3,4,1,12,10,11]=>[11,10,12,1,4,3,7,2,8,6,9,5]
[5,8,6,7,2,4,12,3,9,11,10,1]=>[1,10,11,9,3,12,4,2,7,6,8,5]
[5,7,12,6,8,11,2,10,3,9,4,1]=>[1,4,9,3,10,2,11,8,6,12,7,5]
[12,11,5,10,6,9,2,8,3,7,4,1]=>[1,4,7,3,8,2,9,6,10,5,11,12]
[9,8,7,6,2,5,3,4,1,12,10,11]=>[11,10,12,1,4,3,5,2,6,7,8,9]
[8,7,6,5,2,4,12,3,9,11,10,1]=>[1,10,11,9,3,12,4,2,5,6,7,8]
[7,6,5,12,8,11,2,10,3,9,4,1]=>[1,4,9,3,10,2,11,8,12,5,6,7]
[6,12,7,11,10,9,2,8,3,5,4,1]=>[1,4,5,3,8,2,9,10,11,7,12,6]
[12,11,10,9,8,7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7,8,9,10,11,12]
[5,4,3,2,1,7,9,12,6,8,10,11]=>[11,10,8,6,12,9,7,1,2,3,4,5]
[3,2,1,12,4,11,5,7,10,6,8,9]=>[9,8,6,10,7,5,11,4,12,1,2,3]
[3,2,1,9,4,8,5,7,12,6,10,11]=>[11,10,6,12,7,5,8,4,9,1,2,3]
[3,2,1,8,12,4,9,11,5,10,6,7]=>[7,6,10,5,11,9,4,12,8,1,2,3]
[1,12,2,11,3,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,3,11,2,12,1]
[4,3,2,7,5,6,1,9,12,8,10,11]=>[11,10,8,12,9,1,6,5,7,2,3,4]
[3,2,12,4,6,1,11,5,7,10,8,9]=>[9,8,10,7,5,11,1,6,4,12,2,3]
[4,3,2,6,9,5,7,8,1,12,10,11]=>[11,10,12,1,8,7,5,9,6,2,3,4]
[4,3,2,6,8,12,5,7,9,11,10,1]=>[1,10,11,9,7,5,12,8,6,2,3,4]
[2,12,3,11,4,6,10,5,7,9,8,1]=>[1,8,9,7,5,10,6,4,11,3,12,2]
[2,9,3,8,4,7,5,6,1,12,10,11]=>[11,10,12,1,6,5,7,4,8,3,9,2]
[2,8,3,7,4,6,12,5,9,11,10,1]=>[1,10,11,9,5,12,6,4,7,3,8,2]
[2,7,12,3,8,11,4,10,5,9,6,1]=>[1,6,9,5,10,4,11,8,3,12,7,2]
[12,11,2,10,3,9,4,8,5,7,6,1]=>[1,6,7,5,8,4,9,3,10,2,11,12]
[3,7,4,6,5,2,1,9,12,8,10,11]=>[11,10,8,12,9,1,2,5,6,4,7,3]
[3,5,12,4,2,1,6,11,7,10,8,9]=>[9,8,10,7,11,6,1,2,4,12,5,3]
[3,6,4,5,2,9,7,8,1,12,10,11]=>[11,10,12,1,8,7,9,2,5,4,6,3]
[3,6,4,5,2,8,12,7,9,11,10,1]=>[1,10,11,9,7,12,8,2,5,4,6,3]
[12,3,5,2,11,4,6,10,7,9,8,1]=>[1,8,9,7,10,6,4,11,2,5,3,12]
[3,5,9,4,6,8,7,2,1,12,10,11]=>[11,10,12,1,2,7,8,6,4,9,5,3]
[3,5,8,4,6,7,2,12,9,11,10,1]=>[1,10,11,9,12,2,7,6,4,8,5,3]
[3,5,7,12,4,6,8,11,10,9,2,1]=>[1,2,9,10,11,8,6,4,12,7,5,3]
[12,11,3,5,10,4,6,9,8,7,2,1]=>[1,2,7,8,9,6,4,10,5,3,11,12]
[9,8,3,7,4,6,5,2,1,12,10,11]=>[11,10,12,1,2,5,6,4,7,3,8,9]
[8,7,3,6,4,5,2,12,9,11,10,1]=>[1,10,11,9,12,2,5,4,6,3,7,8]
[7,6,3,5,12,4,8,11,10,9,2,1]=>[1,2,9,10,11,8,4,12,5,3,6,7]
[6,12,7,11,3,10,4,9,8,5,2,1]=>[1,2,5,8,9,4,10,3,11,7,12,6]
[12,11,10,9,3,8,4,7,6,5,2,1]=>[1,2,5,6,7,4,8,3,9,10,11,12]
[7,6,5,4,3,2,1,9,12,8,10,11]=>[11,10,8,12,9,1,2,3,4,5,6,7]
[5,4,3,2,1,12,6,11,7,10,8,9]=>[9,8,10,7,11,6,12,1,2,3,4,5]
[6,5,4,3,2,9,7,8,1,12,10,11]=>[11,10,12,1,8,7,9,2,3,4,5,6]
[6,5,4,3,2,8,12,7,9,11,10,1]=>[1,10,11,9,7,12,8,2,3,4,5,6]
[4,3,2,12,5,11,6,10,7,9,8,1]=>[1,8,9,7,10,6,11,5,12,2,3,4]
[5,4,3,9,6,8,7,2,1,12,10,11]=>[11,10,12,1,2,7,8,6,9,3,4,5]
[5,4,3,8,6,7,2,12,9,11,10,1]=>[1,10,11,9,12,2,7,6,8,3,4,5]
[5,4,3,7,12,6,8,11,10,9,2,1]=>[1,2,9,10,11,8,6,12,7,3,4,5]
[3,12,4,11,5,10,6,9,8,7,2,1]=>[1,2,7,8,9,6,10,5,11,4,12,3]
[4,9,5,8,7,6,3,2,1,12,10,11]=>[11,10,12,1,2,3,6,7,8,5,9,4]
[4,8,5,7,6,3,2,12,9,11,10,1]=>[1,10,11,9,12,2,3,6,7,5,8,4]
[4,7,5,6,3,12,8,11,10,9,2,1]=>[1,2,9,10,11,8,12,3,6,5,7,4]
[4,6,12,5,7,11,10,9,8,3,2,1]=>[1,2,3,8,9,10,11,7,5,12,6,4]
[12,11,4,10,5,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,5,10,4,11,12]
[9,8,7,6,5,4,3,2,1,12,10,11]=>[11,10,12,1,2,3,4,5,6,7,8,9]
[8,7,6,5,4,3,2,12,9,11,10,1]=>[1,10,11,9,12,2,3,4,5,6,7,8]
[7,6,5,4,3,12,8,11,10,9,2,1]=>[1,2,9,10,11,8,12,3,4,5,6,7]
[6,5,4,12,7,11,10,9,8,3,2,1]=>[1,2,3,8,9,10,11,7,12,4,5,6]
[5,12,6,11,10,9,8,7,4,3,2,1]=>[1,2,3,4,7,8,9,10,11,6,12,5]
[11,3,4,5,6,7,8,9,10,1,12,2]=>[2,12,1,10,9,8,7,6,5,4,3,11]
[2,12,4,5,6,7,8,9,10,11,1,3]=>[3,1,11,10,9,8,7,6,5,4,12,2]
[3,5,7,9,11,1,2,4,6,8,10,12]=>[12,10,8,6,4,2,1,11,9,7,5,3]
[3,5,7,9,1,2,4,6,8,10,11,12]=>[12,11,10,8,6,4,2,1,9,7,5,3]
[3,5,7,11,1,2,4,6,8,9,10,12]=>[12,10,9,8,6,4,2,1,11,7,5,3]
[3,5,7,10,1,2,4,6,8,9,11,12]=>[12,11,9,8,6,4,2,1,10,7,5,3]
[3,5,7,1,2,4,6,8,9,10,11,12]=>[12,11,10,9,8,6,4,2,1,7,5,3]
[3,5,9,11,1,2,4,6,7,8,10,12]=>[12,10,8,7,6,4,2,1,11,9,5,3]
[3,5,9,10,1,2,4,6,7,8,11,12]=>[12,11,8,7,6,4,2,1,10,9,5,3]
[3,5,8,11,1,2,4,6,7,9,10,12]=>[12,10,9,7,6,4,2,1,11,8,5,3]
[3,5,8,10,1,2,4,6,7,9,11,12]=>[12,11,9,7,6,4,2,1,10,8,5,3]
[3,5,8,1,2,4,6,7,9,10,11,12]=>[12,11,10,9,7,6,4,2,1,8,5,3]
[3,5,11,1,2,4,6,7,8,9,10,12]=>[12,10,9,8,7,6,4,2,1,11,5,3]
[3,5,10,1,2,4,6,7,8,9,11,12]=>[12,11,9,8,7,6,4,2,1,10,5,3]
[3,5,9,1,2,4,6,7,8,10,11,12]=>[12,11,10,8,7,6,4,2,1,9,5,3]
[3,5,1,2,4,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,4,2,1,5,3]
[3,7,9,11,1,2,4,5,6,8,10,12]=>[12,10,8,6,5,4,2,1,11,9,7,3]
[3,7,9,10,1,2,4,5,6,8,11,12]=>[12,11,8,6,5,4,2,1,10,9,7,3]
[3,7,8,11,1,2,4,5,6,9,10,12]=>[12,10,9,6,5,4,2,1,11,8,7,3]
[3,7,8,10,1,2,4,5,6,9,11,12]=>[12,11,9,6,5,4,2,1,10,8,7,3]
[3,7,8,1,2,4,5,6,9,10,11,12]=>[12,11,10,9,6,5,4,2,1,8,7,3]
[3,6,9,11,1,2,4,5,7,8,10,12]=>[12,10,8,7,5,4,2,1,11,9,6,3]
[3,6,9,10,1,2,4,5,7,8,11,12]=>[12,11,8,7,5,4,2,1,10,9,6,3]
[3,6,8,11,1,2,4,5,7,9,10,12]=>[12,10,9,7,5,4,2,1,11,8,6,3]
[3,6,8,10,1,2,4,5,7,9,11,12]=>[12,11,9,7,5,4,2,1,10,8,6,3]
[3,6,8,1,2,4,5,7,9,10,11,12]=>[12,11,10,9,7,5,4,2,1,8,6,3]
[3,6,11,1,2,4,5,7,8,9,10,12]=>[12,10,9,8,7,5,4,2,1,11,6,3]
[3,6,10,1,2,4,5,7,8,9,11,12]=>[12,11,9,8,7,5,4,2,1,10,6,3]
[3,6,9,1,2,4,5,7,8,10,11,12]=>[12,11,10,8,7,5,4,2,1,9,6,3]
[3,6,1,2,4,5,7,8,9,10,11,12]=>[12,11,10,9,8,7,5,4,2,1,6,3]
[3,9,11,1,2,4,5,6,7,8,10,12]=>[12,10,8,7,6,5,4,2,1,11,9,3]
[3,9,10,1,2,4,5,6,7,8,11,12]=>[12,11,8,7,6,5,4,2,1,10,9,3]
[3,8,11,1,2,4,5,6,7,9,10,12]=>[12,10,9,7,6,5,4,2,1,11,8,3]
[3,8,10,1,2,4,5,6,7,9,11,12]=>[12,11,9,7,6,5,4,2,1,10,8,3]
[3,8,9,1,2,4,5,6,7,10,11,12]=>[12,11,10,7,6,5,4,2,1,9,8,3]
[3,7,11,1,2,4,5,6,8,9,10,12]=>[12,10,9,8,6,5,4,2,1,11,7,3]
[3,7,10,1,2,4,5,6,8,9,11,12]=>[12,11,9,8,6,5,4,2,1,10,7,3]
[3,7,9,1,2,4,5,6,8,10,11,12]=>[12,11,10,8,6,5,4,2,1,9,7,3]
[3,7,1,2,4,5,6,8,9,10,11,12]=>[12,11,10,9,8,6,5,4,2,1,7,3]
[3,11,1,2,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,2,1,11,3]
[3,10,1,2,4,5,6,7,8,9,11,12]=>[12,11,9,8,7,6,5,4,2,1,10,3]
[3,9,1,2,4,5,6,7,8,10,11,12]=>[12,11,10,8,7,6,5,4,2,1,9,3]
[3,8,1,2,4,5,6,7,9,10,11,12]=>[12,11,10,9,7,6,5,4,2,1,8,3]
[3,1,2,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,2,1,3]
[5,7,9,11,1,2,3,4,6,8,10,12]=>[12,10,8,6,4,3,2,1,11,9,7,5]
[5,7,9,10,1,2,3,4,6,8,11,12]=>[12,11,8,6,4,3,2,1,10,9,7,5]
[5,7,8,11,1,2,3,4,6,9,10,12]=>[12,10,9,6,4,3,2,1,11,8,7,5]
[5,7,8,10,1,2,3,4,6,9,11,12]=>[12,11,9,6,4,3,2,1,10,8,7,5]
[5,7,8,1,2,3,4,6,9,10,11,12]=>[12,11,10,9,6,4,3,2,1,8,7,5]
[5,6,9,11,1,2,3,4,7,8,10,12]=>[12,10,8,7,4,3,2,1,11,9,6,5]
[5,6,9,10,1,2,3,4,7,8,11,12]=>[12,11,8,7,4,3,2,1,10,9,6,5]
[5,6,8,11,1,2,3,4,7,9,10,12]=>[12,10,9,7,4,3,2,1,11,8,6,5]
[5,6,8,10,1,2,3,4,7,9,11,12]=>[12,11,9,7,4,3,2,1,10,8,6,5]
[5,6,8,1,2,3,4,7,9,10,11,12]=>[12,11,10,9,7,4,3,2,1,8,6,5]
[5,6,11,1,2,3,4,7,8,9,10,12]=>[12,10,9,8,7,4,3,2,1,11,6,5]
[5,6,10,1,2,3,4,7,8,9,11,12]=>[12,11,9,8,7,4,3,2,1,10,6,5]
[5,6,9,1,2,3,4,7,8,10,11,12]=>[12,11,10,8,7,4,3,2,1,9,6,5]
[5,6,1,2,3,4,7,8,9,10,11,12]=>[12,11,10,9,8,7,4,3,2,1,6,5]
[4,7,9,11,1,2,3,5,6,8,10,12]=>[12,10,8,6,5,3,2,1,11,9,7,4]
[4,7,9,10,1,2,3,5,6,8,11,12]=>[12,11,8,6,5,3,2,1,10,9,7,4]
[4,7,8,11,1,2,3,5,6,9,10,12]=>[12,10,9,6,5,3,2,1,11,8,7,4]
[4,7,8,10,1,2,3,5,6,9,11,12]=>[12,11,9,6,5,3,2,1,10,8,7,4]
[4,7,8,1,2,3,5,6,9,10,11,12]=>[12,11,10,9,6,5,3,2,1,8,7,4]
[4,6,9,11,1,2,3,5,7,8,10,12]=>[12,10,8,7,5,3,2,1,11,9,6,4]
[4,6,9,10,1,2,3,5,7,8,11,12]=>[12,11,8,7,5,3,2,1,10,9,6,4]
[4,6,8,11,1,2,3,5,7,9,10,12]=>[12,10,9,7,5,3,2,1,11,8,6,4]
[4,6,8,10,1,2,3,5,7,9,11,12]=>[12,11,9,7,5,3,2,1,10,8,6,4]
[4,6,8,1,2,3,5,7,9,10,11,12]=>[12,11,10,9,7,5,3,2,1,8,6,4]
[4,6,11,1,2,3,5,7,8,9,10,12]=>[12,10,9,8,7,5,3,2,1,11,6,4]
[4,6,10,1,2,3,5,7,8,9,11,12]=>[12,11,9,8,7,5,3,2,1,10,6,4]
[4,6,9,1,2,3,5,7,8,10,11,12]=>[12,11,10,8,7,5,3,2,1,9,6,4]
[4,6,1,2,3,5,7,8,9,10,11,12]=>[12,11,10,9,8,7,5,3,2,1,6,4]
[4,9,11,1,2,3,5,6,7,8,10,12]=>[12,10,8,7,6,5,3,2,1,11,9,4]
[4,9,10,1,2,3,5,6,7,8,11,12]=>[12,11,8,7,6,5,3,2,1,10,9,4]
[4,8,11,1,2,3,5,6,7,9,10,12]=>[12,10,9,7,6,5,3,2,1,11,8,4]
[4,8,10,1,2,3,5,6,7,9,11,12]=>[12,11,9,7,6,5,3,2,1,10,8,4]
[4,8,9,1,2,3,5,6,7,10,11,12]=>[12,11,10,7,6,5,3,2,1,9,8,4]
[4,7,11,1,2,3,5,6,8,9,10,12]=>[12,10,9,8,6,5,3,2,1,11,7,4]
[4,7,10,1,2,3,5,6,8,9,11,12]=>[12,11,9,8,6,5,3,2,1,10,7,4]
[4,7,9,1,2,3,5,6,8,10,11,12]=>[12,11,10,8,6,5,3,2,1,9,7,4]
[4,7,1,2,3,5,6,8,9,10,11,12]=>[12,11,10,9,8,6,5,3,2,1,7,4]
[4,11,1,2,3,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,3,2,1,11,4]
[4,10,1,2,3,5,6,7,8,9,11,12]=>[12,11,9,8,7,6,5,3,2,1,10,4]
[4,9,1,2,3,5,6,7,8,10,11,12]=>[12,11,10,8,7,6,5,3,2,1,9,4]
[4,8,1,2,3,5,6,7,9,10,11,12]=>[12,11,10,9,7,6,5,3,2,1,8,4]
[4,1,2,3,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,3,2,1,4]
[7,9,11,1,2,3,4,5,6,8,10,12]=>[12,10,8,6,5,4,3,2,1,11,9,7]
[7,9,10,1,2,3,4,5,6,8,11,12]=>[12,11,8,6,5,4,3,2,1,10,9,7]
[7,8,11,1,2,3,4,5,6,9,10,12]=>[12,10,9,6,5,4,3,2,1,11,8,7]
[7,8,10,1,2,3,4,5,6,9,11,12]=>[12,11,9,6,5,4,3,2,1,10,8,7]
[7,8,9,1,2,3,4,5,6,10,11,12]=>[12,11,10,6,5,4,3,2,1,9,8,7]
[6,9,11,1,2,3,4,5,7,8,10,12]=>[12,10,8,7,5,4,3,2,1,11,9,6]
[6,9,10,1,2,3,4,5,7,8,11,12]=>[12,11,8,7,5,4,3,2,1,10,9,6]
[6,8,11,1,2,3,4,5,7,9,10,12]=>[12,10,9,7,5,4,3,2,1,11,8,6]
[6,8,10,1,2,3,4,5,7,9,11,12]=>[12,11,9,7,5,4,3,2,1,10,8,6]
[6,8,9,1,2,3,4,5,7,10,11,12]=>[12,11,10,7,5,4,3,2,1,9,8,6]
[6,7,11,1,2,3,4,5,8,9,10,12]=>[12,10,9,8,5,4,3,2,1,11,7,6]
[6,7,10,1,2,3,4,5,8,9,11,12]=>[12,11,9,8,5,4,3,2,1,10,7,6]
[6,7,9,1,2,3,4,5,8,10,11,12]=>[12,11,10,8,5,4,3,2,1,9,7,6]
[6,7,1,2,3,4,5,8,9,10,11,12]=>[12,11,10,9,8,5,4,3,2,1,7,6]
[5,9,11,1,2,3,4,6,7,8,10,12]=>[12,10,8,7,6,4,3,2,1,11,9,5]
[5,9,10,1,2,3,4,6,7,8,11,12]=>[12,11,8,7,6,4,3,2,1,10,9,5]
[5,8,11,1,2,3,4,6,7,9,10,12]=>[12,10,9,7,6,4,3,2,1,11,8,5]
[5,8,10,1,2,3,4,6,7,9,11,12]=>[12,11,9,7,6,4,3,2,1,10,8,5]
[5,8,9,1,2,3,4,6,7,10,11,12]=>[12,11,10,7,6,4,3,2,1,9,8,5]
[5,7,11,1,2,3,4,6,8,9,10,12]=>[12,10,9,8,6,4,3,2,1,11,7,5]
[5,7,10,1,2,3,4,6,8,9,11,12]=>[12,11,9,8,6,4,3,2,1,10,7,5]
[5,7,9,1,2,3,4,6,8,10,11,12]=>[12,11,10,8,6,4,3,2,1,9,7,5]
[5,7,1,2,3,4,6,8,9,10,11,12]=>[12,11,10,9,8,6,4,3,2,1,7,5]
[5,11,1,2,3,4,6,7,8,9,10,12]=>[12,10,9,8,7,6,4,3,2,1,11,5]
[5,10,1,2,3,4,6,7,8,9,11,12]=>[12,11,9,8,7,6,4,3,2,1,10,5]
[5,9,1,2,3,4,6,7,8,10,11,12]=>[12,11,10,8,7,6,4,3,2,1,9,5]
[5,8,1,2,3,4,6,7,9,10,11,12]=>[12,11,10,9,7,6,4,3,2,1,8,5]
[5,1,2,3,4,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,4,3,2,1,5]
[9,11,1,2,3,4,5,6,7,8,10,12]=>[12,10,8,7,6,5,4,3,2,1,11,9]
[9,10,1,2,3,4,5,6,7,8,11,12]=>[12,11,8,7,6,5,4,3,2,1,10,9]
[8,11,1,2,3,4,5,6,7,9,10,12]=>[12,10,9,7,6,5,4,3,2,1,11,8]
[8,10,1,2,3,4,5,6,7,9,11,12]=>[12,11,9,7,6,5,4,3,2,1,10,8]
[8,9,1,2,3,4,5,6,7,10,11,12]=>[12,11,10,7,6,5,4,3,2,1,9,8]
[7,11,1,2,3,4,5,6,8,9,10,12]=>[12,10,9,8,6,5,4,3,2,1,11,7]
[7,10,1,2,3,4,5,6,8,9,11,12]=>[12,11,9,8,6,5,4,3,2,1,10,7]
[7,9,1,2,3,4,5,6,8,10,11,12]=>[12,11,10,8,6,5,4,3,2,1,9,7]
[7,8,1,2,3,4,5,6,9,10,11,12]=>[12,11,10,9,6,5,4,3,2,1,8,7]
[6,11,1,2,3,4,5,7,8,9,10,12]=>[12,10,9,8,7,5,4,3,2,1,11,6]
[6,10,1,2,3,4,5,7,8,9,11,12]=>[12,11,9,8,7,5,4,3,2,1,10,6]
[6,9,1,2,3,4,5,7,8,10,11,12]=>[12,11,10,8,7,5,4,3,2,1,9,6]
[6,8,1,2,3,4,5,7,9,10,11,12]=>[12,11,10,9,7,5,4,3,2,1,8,6]
[6,1,2,3,4,5,7,8,9,10,11,12]=>[12,11,10,9,8,7,5,4,3,2,1,6]
[10,1,2,3,4,5,6,7,8,9,11,12]=>[12,11,9,8,7,6,5,4,3,2,1,10]
[9,1,2,3,4,5,6,7,8,10,11,12]=>[12,11,10,8,7,6,5,4,3,2,1,9]
[8,1,2,3,4,5,6,7,9,10,11,12]=>[12,11,10,9,7,6,5,4,3,2,1,8]
[7,1,2,3,4,5,6,8,9,10,11,12]=>[12,11,10,9,8,6,5,4,3,2,1,7]
[2,1,4,3,6,5,8,7,11,12,9,10]=>[10,9,12,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,10,7,8,12,11]=>[11,12,8,7,10,9,5,6,3,4,1,2]
[2,1,4,3,6,5,9,11,7,12,8,10]=>[10,8,12,7,11,9,5,6,3,4,1,2]
[2,1,4,3,6,5,10,11,12,7,8,9]=>[9,8,7,12,11,10,5,6,3,4,1,2]
[2,1,4,3,7,8,5,6,10,9,12,11]=>[11,12,9,10,6,5,8,7,3,4,1,2]
[2,1,4,3,7,8,5,6,11,12,9,10]=>[10,9,12,11,6,5,8,7,3,4,1,2]
[2,1,4,3,7,9,5,10,6,8,12,11]=>[11,12,8,6,10,5,9,7,3,4,1,2]
[2,1,4,3,7,9,5,11,6,12,8,10]=>[10,8,12,6,11,5,9,7,3,4,1,2]
[2,1,4,3,7,10,5,11,12,6,8,9]=>[9,8,6,12,11,5,10,7,3,4,1,2]
[2,1,4,3,8,9,10,5,6,7,12,11]=>[11,12,7,6,5,10,9,8,3,4,1,2]
[2,1,4,3,8,9,11,5,6,12,7,10]=>[10,7,12,6,5,11,9,8,3,4,1,2]
[2,1,4,3,8,10,11,5,12,6,7,9]=>[9,7,6,12,5,11,10,8,3,4,1,2]
[2,1,4,3,9,10,11,12,5,6,7,8]=>[8,7,6,5,12,11,10,9,3,4,1,2]
[2,1,5,6,3,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,3,6,5,1,2]
[2,1,5,6,3,4,8,7,11,12,9,10]=>[10,9,12,11,7,8,4,3,6,5,1,2]
[2,1,5,6,3,4,9,10,7,8,12,11]=>[11,12,8,7,10,9,4,3,6,5,1,2]
[2,1,5,6,3,4,9,11,7,12,8,10]=>[10,8,12,7,11,9,4,3,6,5,1,2]
[2,1,5,6,3,4,10,11,12,7,8,9]=>[9,8,7,12,11,10,4,3,6,5,1,2]
[2,1,5,7,3,8,4,6,10,9,12,11]=>[11,12,9,10,6,4,8,3,7,5,1,2]
[2,1,5,7,3,8,4,6,11,12,9,10]=>[10,9,12,11,6,4,8,3,7,5,1,2]
[2,1,5,7,3,9,4,10,6,8,12,11]=>[11,12,8,6,10,4,9,3,7,5,1,2]
[2,1,5,7,3,9,4,11,6,12,8,10]=>[10,8,12,6,11,4,9,3,7,5,1,2]
[2,1,5,7,3,10,4,11,12,6,8,9]=>[9,8,6,12,11,4,10,3,7,5,1,2]
[2,1,5,8,3,9,10,4,6,7,12,11]=>[11,12,7,6,4,10,9,3,8,5,1,2]
[2,1,5,8,3,9,11,4,6,12,7,10]=>[10,7,12,6,4,11,9,3,8,5,1,2]
[2,1,5,8,3,10,11,4,12,6,7,9]=>[9,7,6,12,4,11,10,3,8,5,1,2]
[2,1,5,9,3,10,11,12,4,6,7,8]=>[8,7,6,4,12,11,10,3,9,5,1,2]
[2,1,6,7,8,3,4,5,10,9,12,11]=>[11,12,9,10,5,4,3,8,7,6,1,2]
[2,1,6,7,8,3,4,5,11,12,9,10]=>[10,9,12,11,5,4,3,8,7,6,1,2]
[2,1,6,7,9,3,4,10,5,8,12,11]=>[11,12,8,5,10,4,3,9,7,6,1,2]
[2,1,6,7,9,3,4,11,5,12,8,10]=>[10,8,12,5,11,4,3,9,7,6,1,2]
[2,1,6,7,10,3,4,11,12,5,8,9]=>[9,8,5,12,11,4,3,10,7,6,1,2]
[2,1,6,8,9,3,10,4,5,7,12,11]=>[11,12,7,5,4,10,3,9,8,6,1,2]
[2,1,6,8,9,3,11,4,5,12,7,10]=>[10,7,12,5,4,11,3,9,8,6,1,2]
[2,1,6,8,10,3,11,4,12,5,7,9]=>[9,7,5,12,4,11,3,10,8,6,1,2]
[2,1,6,9,10,3,11,12,4,5,7,8]=>[8,7,5,4,12,11,3,10,9,6,1,2]
[2,1,7,8,9,10,3,4,5,6,12,11]=>[11,12,6,5,4,3,10,9,8,7,1,2]
[2,1,7,8,9,11,3,4,5,12,6,10]=>[10,6,12,5,4,3,11,9,8,7,1,2]
[2,1,7,8,10,11,3,4,12,5,6,9]=>[9,6,5,12,4,3,11,10,8,7,1,2]
[2,1,7,9,10,11,3,12,4,5,6,8]=>[8,6,5,4,12,3,11,10,9,7,1,2]
[2,1,8,9,10,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,10,9,8,1,2]
[3,4,1,2,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,2,1,4,3]
[3,4,1,2,6,5,8,7,11,12,9,10]=>[10,9,12,11,7,8,5,6,2,1,4,3]
[3,4,1,2,6,5,9,10,7,8,12,11]=>[11,12,8,7,10,9,5,6,2,1,4,3]
[3,4,1,2,6,5,9,11,7,12,8,10]=>[10,8,12,7,11,9,5,6,2,1,4,3]
[3,4,1,2,6,5,10,11,12,7,8,9]=>[9,8,7,12,11,10,5,6,2,1,4,3]
[3,4,1,2,7,8,5,6,10,9,12,11]=>[11,12,9,10,6,5,8,7,2,1,4,3]
[3,4,1,2,7,8,5,6,11,12,9,10]=>[10,9,12,11,6,5,8,7,2,1,4,3]
[3,4,1,2,7,9,5,10,6,8,12,11]=>[11,12,8,6,10,5,9,7,2,1,4,3]
[3,4,1,2,7,9,5,11,6,12,8,10]=>[10,8,12,6,11,5,9,7,2,1,4,3]
[3,4,1,2,7,10,5,11,12,6,8,9]=>[9,8,6,12,11,5,10,7,2,1,4,3]
[3,4,1,2,8,9,10,5,6,7,12,11]=>[11,12,7,6,5,10,9,8,2,1,4,3]
[3,4,1,2,8,9,11,5,6,12,7,10]=>[10,7,12,6,5,11,9,8,2,1,4,3]
[3,4,1,2,8,10,11,5,12,6,7,9]=>[9,7,6,12,5,11,10,8,2,1,4,3]
[3,4,1,2,9,10,11,12,5,6,7,8]=>[8,7,6,5,12,11,10,9,2,1,4,3]
[3,5,1,6,2,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,2,6,1,5,3]
[3,5,1,6,2,4,8,7,11,12,9,10]=>[10,9,12,11,7,8,4,2,6,1,5,3]
[3,5,1,6,2,4,9,10,7,8,12,11]=>[11,12,8,7,10,9,4,2,6,1,5,3]
[3,5,1,6,2,4,9,11,7,12,8,10]=>[10,8,12,7,11,9,4,2,6,1,5,3]
[3,5,1,6,2,4,10,11,12,7,8,9]=>[9,8,7,12,11,10,4,2,6,1,5,3]
[3,5,1,7,2,8,4,6,10,9,12,11]=>[11,12,9,10,6,4,8,2,7,1,5,3]
[3,5,1,7,2,8,4,6,11,12,9,10]=>[10,9,12,11,6,4,8,2,7,1,5,3]
[3,5,1,7,2,9,4,10,6,8,12,11]=>[11,12,8,6,10,4,9,2,7,1,5,3]
[3,5,1,7,2,9,4,11,6,12,8,10]=>[10,8,12,6,11,4,9,2,7,1,5,3]
[3,5,1,7,2,10,4,11,12,6,8,9]=>[9,8,6,12,11,4,10,2,7,1,5,3]
[3,5,1,8,2,9,10,4,6,7,12,11]=>[11,12,7,6,4,10,9,2,8,1,5,3]
[3,5,1,8,2,9,11,4,6,12,7,10]=>[10,7,12,6,4,11,9,2,8,1,5,3]
[3,5,1,8,2,10,11,4,12,6,7,9]=>[9,7,6,12,4,11,10,2,8,1,5,3]
[3,5,1,9,2,10,11,12,4,6,7,8]=>[8,7,6,4,12,11,10,2,9,1,5,3]
[3,6,1,7,8,2,4,5,10,9,12,11]=>[11,12,9,10,5,4,2,8,7,1,6,3]
[3,6,1,7,8,2,4,5,11,12,9,10]=>[10,9,12,11,5,4,2,8,7,1,6,3]
[3,6,1,7,9,2,4,10,5,8,12,11]=>[11,12,8,5,10,4,2,9,7,1,6,3]
[3,6,1,7,9,2,4,11,5,12,8,10]=>[10,8,12,5,11,4,2,9,7,1,6,3]
[3,6,1,7,10,2,4,11,12,5,8,9]=>[9,8,5,12,11,4,2,10,7,1,6,3]
[3,6,1,8,9,2,10,4,5,7,12,11]=>[11,12,7,5,4,10,2,9,8,1,6,3]
[3,6,1,8,9,2,11,4,5,12,7,10]=>[10,7,12,5,4,11,2,9,8,1,6,3]
[3,6,1,8,10,2,11,4,12,5,7,9]=>[9,7,5,12,4,11,2,10,8,1,6,3]
[3,6,1,9,10,2,11,12,4,5,7,8]=>[8,7,5,4,12,11,2,10,9,1,6,3]
[3,7,1,8,9,10,2,4,5,6,12,11]=>[11,12,6,5,4,2,10,9,8,1,7,3]
[3,7,1,8,9,11,2,4,5,12,6,10]=>[10,6,12,5,4,2,11,9,8,1,7,3]
[3,7,1,8,10,11,2,4,12,5,6,9]=>[9,6,5,12,4,2,11,10,8,1,7,3]
[3,7,1,9,10,11,2,12,4,5,6,8]=>[8,6,5,4,12,2,11,10,9,1,7,3]
[3,8,1,9,10,11,12,2,4,5,6,7]=>[7,6,5,4,2,12,11,10,9,1,8,3]
[4,5,6,1,2,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,2,1,6,5,4]
[4,5,6,1,2,3,8,7,11,12,9,10]=>[10,9,12,11,7,8,3,2,1,6,5,4]
[4,5,6,1,2,3,9,10,7,8,12,11]=>[11,12,8,7,10,9,3,2,1,6,5,4]
[4,5,6,1,2,3,9,11,7,12,8,10]=>[10,8,12,7,11,9,3,2,1,6,5,4]
[4,5,6,1,2,3,10,11,12,7,8,9]=>[9,8,7,12,11,10,3,2,1,6,5,4]
[4,5,7,1,2,8,3,6,10,9,12,11]=>[11,12,9,10,6,3,8,2,1,7,5,4]
[4,5,7,1,2,8,3,6,11,12,9,10]=>[10,9,12,11,6,3,8,2,1,7,5,4]
[4,5,7,1,2,9,3,10,6,8,12,11]=>[11,12,8,6,10,3,9,2,1,7,5,4]
[4,5,7,1,2,9,3,11,6,12,8,10]=>[10,8,12,6,11,3,9,2,1,7,5,4]
[4,5,7,1,2,10,3,11,12,6,8,9]=>[9,8,6,12,11,3,10,2,1,7,5,4]
[4,5,8,1,2,9,10,3,6,7,12,11]=>[11,12,7,6,3,10,9,2,1,8,5,4]
[4,5,8,1,2,9,11,3,6,12,7,10]=>[10,7,12,6,3,11,9,2,1,8,5,4]
[4,5,8,1,2,10,11,3,12,6,7,9]=>[9,7,6,12,3,11,10,2,1,8,5,4]
[4,5,9,1,2,10,11,12,3,6,7,8]=>[8,7,6,3,12,11,10,2,1,9,5,4]
[4,6,7,1,8,2,3,5,10,9,12,11]=>[11,12,9,10,5,3,2,8,1,7,6,4]
[4,6,7,1,8,2,3,5,11,12,9,10]=>[10,9,12,11,5,3,2,8,1,7,6,4]
[4,6,7,1,9,2,3,10,5,8,12,11]=>[11,12,8,5,10,3,2,9,1,7,6,4]
[4,6,7,1,9,2,3,11,5,12,8,10]=>[10,8,12,5,11,3,2,9,1,7,6,4]
[4,6,7,1,10,2,3,11,12,5,8,9]=>[9,8,5,12,11,3,2,10,1,7,6,4]
[4,6,8,1,9,2,10,3,5,7,12,11]=>[11,12,7,5,3,10,2,9,1,8,6,4]
[4,6,8,1,9,2,11,3,5,12,7,10]=>[10,7,12,5,3,11,2,9,1,8,6,4]
[4,6,8,1,10,2,11,3,12,5,7,9]=>[9,7,5,12,3,11,2,10,1,8,6,4]
[4,6,9,1,10,2,11,12,3,5,7,8]=>[8,7,5,3,12,11,2,10,1,9,6,4]
[4,7,8,1,9,10,2,3,5,6,12,11]=>[11,12,6,5,3,2,10,9,1,8,7,4]
[4,7,8,1,9,11,2,3,5,12,6,10]=>[10,6,12,5,3,2,11,9,1,8,7,4]
[4,7,8,1,10,11,2,3,12,5,6,9]=>[9,6,5,12,3,2,11,10,1,8,7,4]
[4,7,9,1,10,11,2,12,3,5,6,8]=>[8,6,5,3,12,2,11,10,1,9,7,4]
[4,8,9,1,10,11,12,2,3,5,6,7]=>[7,6,5,3,2,12,11,10,1,9,8,4]
[5,6,7,8,1,2,3,4,10,9,12,11]=>[11,12,9,10,4,3,2,1,8,7,6,5]
[5,6,7,8,1,2,3,4,11,12,9,10]=>[10,9,12,11,4,3,2,1,8,7,6,5]
[5,6,7,9,1,2,3,10,4,8,12,11]=>[11,12,8,4,10,3,2,1,9,7,6,5]
[5,6,7,9,1,2,3,11,4,12,8,10]=>[10,8,12,4,11,3,2,1,9,7,6,5]
[5,6,7,10,1,2,3,11,12,4,8,9]=>[9,8,4,12,11,3,2,1,10,7,6,5]
[5,6,8,9,1,2,10,3,4,7,12,11]=>[11,12,7,4,3,10,2,1,9,8,6,5]
[5,6,8,9,1,2,11,3,4,12,7,10]=>[10,7,12,4,3,11,2,1,9,8,6,5]
[5,6,8,10,1,2,11,3,12,4,7,9]=>[9,7,4,12,3,11,2,1,10,8,6,5]
[5,6,9,10,1,2,11,12,3,4,7,8]=>[8,7,4,3,12,11,2,1,10,9,6,5]
[5,7,8,9,1,10,2,3,4,6,12,11]=>[11,12,6,4,3,2,10,1,9,8,7,5]
[5,7,8,9,1,11,2,3,4,12,6,10]=>[10,6,12,4,3,2,11,1,9,8,7,5]
[5,7,8,10,1,11,2,3,12,4,6,9]=>[9,6,4,12,3,2,11,1,10,8,7,5]
[5,7,9,10,1,11,2,12,3,4,6,8]=>[8,6,4,3,12,2,11,1,10,9,7,5]
[5,8,9,10,1,11,12,2,3,4,6,7]=>[7,6,4,3,2,12,11,1,10,9,8,5]
[6,7,8,9,10,1,2,3,4,5,12,11]=>[11,12,5,4,3,2,1,10,9,8,7,6]
[6,7,8,9,11,1,2,3,4,12,5,10]=>[10,5,12,4,3,2,1,11,9,8,7,6]
[6,7,8,10,11,1,2,3,12,4,5,9]=>[9,5,4,12,3,2,1,11,10,8,7,6]
[6,7,9,10,11,1,2,12,3,4,5,8]=>[8,5,4,3,12,2,1,11,10,9,7,6]
[6,8,9,10,11,1,12,2,3,4,5,7]=>[7,5,4,3,2,12,1,11,10,9,8,6]
[7,8,9,10,12,11,1,2,3,4,6,5]=>[5,6,4,3,2,1,11,12,10,9,8,7]
[7,8,9,11,10,12,1,2,3,5,4,6]=>[6,4,5,3,2,1,12,10,11,9,8,7]
[7,8,9,11,12,10,1,2,3,6,4,5]=>[5,4,6,3,2,1,10,12,11,9,8,7]
[7,8,10,9,11,12,1,2,4,3,5,6]=>[6,5,3,4,2,1,12,11,9,10,8,7]
[7,8,10,9,12,11,1,2,4,3,6,5]=>[5,6,3,4,2,1,11,12,9,10,8,7]
[7,8,10,11,9,12,1,2,5,3,4,6]=>[6,4,3,5,2,1,12,9,11,10,8,7]
[7,8,10,11,12,9,1,2,6,3,4,5]=>[5,4,3,6,2,1,9,12,11,10,8,7]
[7,8,10,12,11,9,1,2,6,3,5,4]=>[4,5,3,6,2,1,9,11,12,10,8,7]
[7,8,11,10,9,12,1,2,5,4,3,6]=>[6,3,4,5,2,1,12,9,10,11,8,7]
[7,8,11,10,12,9,1,2,6,4,3,5]=>[5,3,4,6,2,1,9,12,10,11,8,7]
[7,8,11,12,10,9,1,2,6,5,3,4]=>[4,3,5,6,2,1,9,10,12,11,8,7]
[7,8,12,11,10,9,1,2,6,5,4,3]=>[3,4,5,6,2,1,9,10,11,12,8,7]
[7,9,8,10,11,12,1,3,2,4,5,6]=>[6,5,4,2,3,1,12,11,10,8,9,7]
[7,9,8,10,12,11,1,3,2,4,6,5]=>[5,6,4,2,3,1,11,12,10,8,9,7]
[7,9,8,11,10,12,1,3,2,5,4,6]=>[6,4,5,2,3,1,12,10,11,8,9,7]
[7,9,8,11,12,10,1,3,2,6,4,5]=>[5,4,6,2,3,1,10,12,11,8,9,7]
[7,9,8,12,11,10,1,3,2,6,5,4]=>[4,5,6,2,3,1,10,11,12,8,9,7]
[7,9,10,8,11,12,1,4,2,3,5,6]=>[6,5,3,2,4,1,12,11,8,10,9,7]
[7,9,10,8,12,11,1,4,2,3,6,5]=>[5,6,3,2,4,1,11,12,8,10,9,7]
[7,9,10,11,8,12,1,5,2,3,4,6]=>[6,4,3,2,5,1,12,8,11,10,9,7]
[7,9,10,11,12,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,12,11,10,9,7]
[7,9,10,12,11,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,11,12,10,9,7]
[7,9,11,10,8,12,1,5,2,4,3,6]=>[6,3,4,2,5,1,12,8,10,11,9,7]
[7,9,11,10,12,8,1,6,2,4,3,5]=>[5,3,4,2,6,1,8,12,10,11,9,7]
[7,9,11,12,10,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,10,12,11,9,7]
[7,9,12,11,10,8,1,6,2,5,4,3]=>[3,4,5,2,6,1,8,10,11,12,9,7]
[7,10,9,8,11,12,1,4,3,2,5,6]=>[6,5,2,3,4,1,12,11,8,9,10,7]
[7,10,9,8,12,11,1,4,3,2,6,5]=>[5,6,2,3,4,1,11,12,8,9,10,7]
[7,10,9,11,8,12,1,5,3,2,4,6]=>[6,4,2,3,5,1,12,8,11,9,10,7]
[7,10,9,11,12,8,1,6,3,2,4,5]=>[5,4,2,3,6,1,8,12,11,9,10,7]
[7,10,9,12,11,8,1,6,3,2,5,4]=>[4,5,2,3,6,1,8,11,12,9,10,7]
[7,10,11,9,8,12,1,5,4,2,3,6]=>[6,3,2,4,5,1,12,8,9,11,10,7]
[7,10,11,9,12,8,1,6,4,2,3,5]=>[5,3,2,4,6,1,8,12,9,11,10,7]
[7,10,11,12,9,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,9,12,11,10,7]
[7,10,12,11,9,8,1,6,5,2,4,3]=>[3,4,2,5,6,1,8,9,11,12,10,7]
[7,11,10,9,8,12,1,5,4,3,2,6]=>[6,2,3,4,5,1,12,8,9,10,11,7]
[7,11,10,9,12,8,1,6,4,3,2,5]=>[5,2,3,4,6,1,8,12,9,10,11,7]
[7,11,10,12,9,8,1,6,5,3,2,4]=>[4,2,3,5,6,1,8,9,12,10,11,7]
[7,11,12,10,9,8,1,6,5,4,2,3]=>[3,2,4,5,6,1,8,9,10,12,11,7]
[7,12,11,10,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,10,11,12,7]
[8,7,9,10,11,12,2,1,3,4,5,6]=>[6,5,4,3,1,2,12,11,10,9,7,8]
[8,7,9,10,12,11,2,1,3,4,6,5]=>[5,6,4,3,1,2,11,12,10,9,7,8]
[8,7,9,11,10,12,2,1,3,5,4,6]=>[6,4,5,3,1,2,12,10,11,9,7,8]
[8,7,9,11,12,10,2,1,3,6,4,5]=>[5,4,6,3,1,2,10,12,11,9,7,8]
[8,7,9,12,11,10,2,1,3,6,5,4]=>[4,5,6,3,1,2,10,11,12,9,7,8]
[8,7,10,9,11,12,2,1,4,3,5,6]=>[6,5,3,4,1,2,12,11,9,10,7,8]
[8,7,10,9,12,11,2,1,4,3,6,5]=>[5,6,3,4,1,2,11,12,9,10,7,8]
[8,7,10,11,9,12,2,1,5,3,4,6]=>[6,4,3,5,1,2,12,9,11,10,7,8]
[8,7,10,11,12,9,2,1,6,3,4,5]=>[5,4,3,6,1,2,9,12,11,10,7,8]
[8,7,10,12,11,9,2,1,6,3,5,4]=>[4,5,3,6,1,2,9,11,12,10,7,8]
[8,7,11,10,9,12,2,1,5,4,3,6]=>[6,3,4,5,1,2,12,9,10,11,7,8]
[8,7,11,10,12,9,2,1,6,4,3,5]=>[5,3,4,6,1,2,9,12,10,11,7,8]
[8,7,11,12,10,9,2,1,6,5,3,4]=>[4,3,5,6,1,2,9,10,12,11,7,8]
[8,7,12,11,10,9,2,1,6,5,4,3]=>[3,4,5,6,1,2,9,10,11,12,7,8]
[8,9,7,10,11,12,3,1,2,4,5,6]=>[6,5,4,2,1,3,12,11,10,7,9,8]
[8,9,7,10,12,11,3,1,2,4,6,5]=>[5,6,4,2,1,3,11,12,10,7,9,8]
[8,9,7,11,10,12,3,1,2,5,4,6]=>[6,4,5,2,1,3,12,10,11,7,9,8]
[8,9,7,11,12,10,3,1,2,6,4,5]=>[5,4,6,2,1,3,10,12,11,7,9,8]
[8,9,7,12,11,10,3,1,2,6,5,4]=>[4,5,6,2,1,3,10,11,12,7,9,8]
[8,9,10,7,11,12,4,1,2,3,5,6]=>[6,5,3,2,1,4,12,11,7,10,9,8]
[8,9,10,7,12,11,4,1,2,3,6,5]=>[5,6,3,2,1,4,11,12,7,10,9,8]
[8,9,10,11,7,12,5,1,2,3,4,6]=>[6,4,3,2,1,5,12,7,11,10,9,8]
[8,9,10,11,12,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,12,11,10,9,8]
[8,9,10,12,11,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,11,12,10,9,8]
[8,9,11,10,7,12,5,1,2,4,3,6]=>[6,3,4,2,1,5,12,7,10,11,9,8]
[8,9,11,10,12,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,12,10,11,9,8]
[8,9,11,12,10,7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7,10,12,11,9,8]
[8,9,12,11,10,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,10,11,12,9,8]
[8,10,9,7,11,12,4,1,3,2,5,6]=>[6,5,2,3,1,4,12,11,7,9,10,8]
[8,10,9,7,12,11,4,1,3,2,6,5]=>[5,6,2,3,1,4,11,12,7,9,10,8]
[8,10,9,11,7,12,5,1,3,2,4,6]=>[6,4,2,3,1,5,12,7,11,9,10,8]
[8,10,9,11,12,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,12,11,9,10,8]
[8,10,9,12,11,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,11,12,9,10,8]
[8,10,11,9,7,12,5,1,4,2,3,6]=>[6,3,2,4,1,5,12,7,9,11,10,8]
[8,10,11,9,12,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,12,9,11,10,8]
[8,10,11,12,9,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,9,12,11,10,8]
[8,10,12,11,9,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,9,11,12,10,8]
[8,11,10,9,7,12,5,1,4,3,2,6]=>[6,2,3,4,1,5,12,7,9,10,11,8]
[8,11,10,9,12,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,12,9,10,11,8]
[8,11,10,12,9,7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7,9,12,10,11,8]
[8,11,12,10,9,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,9,10,12,11,8]
[8,12,11,10,9,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,9,10,11,12,8]
[9,8,7,10,12,11,3,2,1,4,6,5]=>[5,6,4,1,2,3,11,12,10,7,8,9]
[9,8,7,11,10,12,3,2,1,5,4,6]=>[6,4,5,1,2,3,12,10,11,7,8,9]
[9,8,7,11,12,10,3,2,1,6,4,5]=>[5,4,6,1,2,3,10,12,11,7,8,9]
[9,8,7,12,11,10,3,2,1,6,5,4]=>[4,5,6,1,2,3,10,11,12,7,8,9]
[9,8,10,7,11,12,4,2,1,3,5,6]=>[6,5,3,1,2,4,12,11,7,10,8,9]
[9,8,10,7,12,11,4,2,1,3,6,5]=>[5,6,3,1,2,4,11,12,7,10,8,9]
[9,8,10,11,7,12,5,2,1,3,4,6]=>[6,4,3,1,2,5,12,7,11,10,8,9]
[9,8,10,11,12,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,12,11,10,8,9]
[9,8,10,12,11,7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7,11,12,10,8,9]
[9,8,11,10,7,12,5,2,1,4,3,6]=>[6,3,4,1,2,5,12,7,10,11,8,9]
[9,8,11,10,12,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,12,10,11,8,9]
[9,8,11,12,10,7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7,10,12,11,8,9]
[9,8,12,11,10,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,10,11,12,8,9]
[9,10,8,7,11,12,4,3,1,2,5,6]=>[6,5,2,1,3,4,12,11,7,8,10,9]
[9,10,8,7,12,11,4,3,1,2,6,5]=>[5,6,2,1,3,4,11,12,7,8,10,9]
[9,10,8,11,7,12,5,3,1,2,4,6]=>[6,4,2,1,3,5,12,7,11,8,10,9]
[9,10,8,11,12,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,12,11,8,10,9]
[9,10,8,12,11,7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7,11,12,8,10,9]
[9,10,11,8,7,12,5,4,1,2,3,6]=>[6,3,2,1,4,5,12,7,8,11,10,9]
[9,10,11,8,12,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,12,8,11,10,9]
[9,10,11,12,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,12,11,10,9]
[9,10,12,11,8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8,11,12,10,9]
[9,11,10,8,7,12,5,4,1,3,2,6]=>[6,2,3,1,4,5,12,7,8,10,11,9]
[9,11,10,8,12,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,12,8,10,11,9]
[9,11,10,12,8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8,12,10,11,9]
[9,11,12,10,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,10,12,11,9]
[9,12,11,10,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,10,11,12,9]
[10,9,8,7,11,12,4,3,2,1,5,6]=>[6,5,1,2,3,4,12,11,7,8,9,10]
[10,9,8,7,12,11,4,3,2,1,6,5]=>[5,6,1,2,3,4,11,12,7,8,9,10]
[10,9,8,11,7,12,5,3,2,1,4,6]=>[6,4,1,2,3,5,12,7,11,8,9,10]
[10,9,8,11,12,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,12,11,8,9,10]
[10,9,8,12,11,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,11,12,8,9,10]
[10,9,11,8,7,12,5,4,2,1,3,6]=>[6,3,1,2,4,5,12,7,8,11,9,10]
[10,9,11,8,12,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,12,8,11,9,10]
[10,9,11,12,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,12,11,9,10]
[10,9,12,11,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,11,12,9,10]
[10,11,9,8,7,12,5,4,3,1,2,6]=>[6,2,1,3,4,5,12,7,8,9,11,10]
[10,11,9,8,12,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,12,8,9,11,10]
[10,11,9,12,8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8,12,9,11,10]
[10,11,12,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,12,11,10]
[10,12,11,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,11,12,10]
[11,10,9,8,7,12,5,4,3,2,1,6]=>[6,1,2,3,4,5,12,7,8,9,10,11]
[11,10,9,8,12,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,12,8,9,10,11]
[11,10,9,12,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,12,9,10,11]
[11,10,12,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,12,10,11]
[11,12,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,12,11]
[1,2,3,4,5,6,7,8,9,12,10,11]=>[11,10,12,9,8,7,6,5,4,3,2,1]
[12,1,3,4,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,4,3,1,12]
[3,2,5,4,7,6,9,8,11,10,1,12]=>[12,1,10,11,8,9,6,7,4,5,2,3]
[3,2,5,4,7,6,11,10,8,9,1,12]=>[12,1,9,8,10,11,6,7,4,5,2,3]
[3,2,5,4,9,8,6,7,11,10,1,12]=>[12,1,10,11,7,6,8,9,4,5,2,3]
[3,2,5,4,11,8,6,10,7,9,1,12]=>[12,1,9,7,10,6,8,11,4,5,2,3]
[3,2,5,4,11,10,9,6,7,8,1,12]=>[12,1,8,7,6,9,10,11,4,5,2,3]
[3,2,7,6,4,5,9,8,11,10,1,12]=>[12,1,10,11,8,9,5,4,6,7,2,3]
[3,2,7,6,4,5,11,10,8,9,1,12]=>[12,1,9,8,10,11,5,4,6,7,2,3]
[3,2,9,6,4,8,5,7,11,10,1,12]=>[12,1,10,11,7,5,8,4,6,9,2,3]
[3,2,11,6,4,8,5,10,7,9,1,12]=>[12,1,9,7,10,5,8,4,6,11,2,3]
[3,2,11,6,4,10,9,5,7,8,1,12]=>[12,1,8,7,5,9,10,4,6,11,2,3]
[3,2,9,8,7,4,5,6,11,10,1,12]=>[12,1,10,11,6,5,4,7,8,9,2,3]
[3,2,11,8,7,4,5,10,6,9,1,12]=>[12,1,9,6,10,5,4,7,8,11,2,3]
[3,2,11,10,7,4,9,5,6,8,1,12]=>[12,1,8,6,5,9,4,7,10,11,2,3]
[3,2,11,10,9,8,4,5,6,7,1,12]=>[12,1,7,6,5,4,8,9,10,11,2,3]
[5,4,2,3,7,6,9,8,11,10,1,12]=>[12,1,10,11,8,9,6,7,3,2,4,5]
[5,4,2,3,7,6,11,10,8,9,1,12]=>[12,1,9,8,10,11,6,7,3,2,4,5]
[5,4,2,3,9,8,6,7,11,10,1,12]=>[12,1,10,11,7,6,8,9,3,2,4,5]
[5,4,2,3,11,8,6,10,7,9,1,12]=>[12,1,9,7,10,6,8,11,3,2,4,5]
[5,4,2,3,11,10,9,6,7,8,1,12]=>[12,1,8,7,6,9,10,11,3,2,4,5]
[7,4,2,6,3,5,9,8,11,10,1,12]=>[12,1,10,11,8,9,5,3,6,2,4,7]
[7,4,2,6,3,5,11,10,8,9,1,12]=>[12,1,9,8,10,11,5,3,6,2,4,7]
[9,4,2,6,3,8,5,7,11,10,1,12]=>[12,1,10,11,7,5,8,3,6,2,4,9]
[11,4,2,6,3,8,5,10,7,9,1,12]=>[12,1,9,7,10,5,8,3,6,2,4,11]
[11,4,2,6,3,10,9,5,7,8,1,12]=>[12,1,8,7,5,9,10,3,6,2,4,11]
[9,4,2,8,7,3,5,6,11,10,1,12]=>[12,1,10,11,6,5,3,7,8,2,4,9]
[11,4,2,8,7,3,5,10,6,9,1,12]=>[12,1,9,6,10,5,3,7,8,2,4,11]
[11,4,2,10,7,3,9,5,6,8,1,12]=>[12,1,8,6,5,9,3,7,10,2,4,11]
[11,4,2,10,9,8,3,5,6,7,1,12]=>[12,1,7,6,5,3,8,9,10,2,4,11]
[7,6,5,2,3,4,9,8,11,10,1,12]=>[12,1,10,11,8,9,4,3,2,5,6,7]
[7,6,5,2,3,4,11,10,8,9,1,12]=>[12,1,9,8,10,11,4,3,2,5,6,7]
[9,6,5,2,3,8,4,7,11,10,1,12]=>[12,1,10,11,7,4,8,3,2,5,6,9]
[11,6,5,2,3,8,4,10,7,9,1,12]=>[12,1,9,7,10,4,8,3,2,5,6,11]
[11,6,5,2,3,10,9,4,7,8,1,12]=>[12,1,8,7,4,9,10,3,2,5,6,11]
[9,8,5,2,7,3,4,6,11,10,1,12]=>[12,1,10,11,6,4,3,7,2,5,8,9]
[11,8,5,2,7,3,4,10,6,9,1,12]=>[12,1,9,6,10,4,3,7,2,5,8,11]
[11,10,5,2,7,3,9,4,6,8,1,12]=>[12,1,8,6,4,9,3,7,2,5,10,11]
[11,10,5,2,9,8,3,4,6,7,1,12]=>[12,1,7,6,4,3,8,9,2,5,10,11]
[9,8,7,6,2,3,4,5,11,10,1,12]=>[12,1,10,11,5,4,3,2,6,7,8,9]
[11,8,7,6,2,3,4,10,5,9,1,12]=>[12,1,9,5,10,4,3,2,6,7,8,11]
[11,10,7,6,2,3,9,4,5,8,1,12]=>[12,1,8,5,4,9,3,2,6,7,10,11]
[11,10,9,6,2,8,3,4,5,7,1,12]=>[12,1,7,5,4,3,8,2,6,9,10,11]
[11,10,9,8,7,2,3,4,5,6,1,12]=>[12,1,6,5,4,3,2,7,8,9,10,11]
[1,3,12,4,6,11,7,9,10,8,5,2]=>[2,5,8,10,9,7,11,6,4,12,3,1]
[1,3,12,4,6,11,8,9,7,10,5,2]=>[2,5,10,7,9,8,11,6,4,12,3,1]
[1,3,12,4,8,6,7,11,9,10,5,2]=>[2,5,10,9,11,7,6,8,4,12,3,1]
[1,3,12,4,10,6,8,9,7,11,5,2]=>[2,5,11,7,9,8,6,10,4,12,3,1]
[1,3,12,4,10,7,8,6,9,11,5,2]=>[2,5,11,9,6,8,7,10,4,12,3,1]
[1,3,12,5,6,4,8,11,9,10,7,2]=>[2,7,10,9,11,8,4,6,5,12,3,1]
[1,3,12,5,6,4,10,8,9,11,7,2]=>[2,7,11,9,8,10,4,6,5,12,3,1]
[1,3,12,5,8,6,7,4,10,11,9,2]=>[2,9,11,10,4,7,6,8,5,12,3,1]
[1,3,12,7,5,6,8,4,10,11,9,2]=>[2,9,11,10,4,8,6,5,7,12,3,1]
[1,3,12,5,10,6,8,9,7,4,11,2]=>[2,11,4,7,9,8,6,10,5,12,3,1]
[1,3,12,5,10,7,8,6,9,4,11,2]=>[2,11,4,9,6,8,7,10,5,12,3,1]
[1,3,12,7,5,6,10,8,9,4,11,2]=>[2,11,4,9,8,10,6,5,7,12,3,1]
[1,3,12,9,5,7,8,6,10,4,11,2]=>[2,11,4,10,6,8,7,5,9,12,3,1]
[1,3,12,9,6,7,5,8,10,4,11,2]=>[2,11,4,10,8,5,7,6,9,12,3,1]
[1,5,3,4,12,6,8,11,9,10,7,2]=>[2,7,10,9,11,8,6,12,4,3,5,1]
[1,5,3,4,12,6,10,8,9,11,7,2]=>[2,7,11,9,8,10,6,12,4,3,5,1]
[1,5,3,4,12,7,8,6,10,11,9,2]=>[2,9,11,10,6,8,7,12,4,3,5,1]
[1,5,3,4,12,7,10,8,9,6,11,2]=>[2,11,6,9,8,10,7,12,4,3,5,1]
[1,5,3,4,12,9,7,8,10,6,11,2]=>[2,11,6,10,8,7,9,12,4,3,5,1]
[1,7,3,5,6,4,12,8,10,11,9,2]=>[2,9,11,10,8,12,4,6,5,3,7,1]
[1,7,3,5,6,4,12,9,10,8,11,2]=>[2,11,8,10,9,12,4,6,5,3,7,1]
[1,7,4,5,3,6,12,8,10,11,9,2]=>[2,9,11,10,8,12,6,3,5,4,7,1]
[1,7,4,5,3,6,12,9,10,8,11,2]=>[2,11,8,10,9,12,6,3,5,4,7,1]
[1,9,3,5,8,6,7,4,12,10,11,2]=>[2,11,10,12,4,7,6,8,5,3,9,1]
[1,9,3,7,5,6,8,4,12,10,11,2]=>[2,11,10,12,4,8,6,5,7,3,9,1]
[1,9,4,5,3,7,8,6,12,10,11,2]=>[2,11,10,12,6,8,7,3,5,4,9,1]
[1,9,4,7,5,6,3,8,12,10,11,2]=>[2,11,10,12,8,3,6,5,7,4,9,1]
[1,9,6,4,5,7,3,8,12,10,11,2]=>[2,11,10,12,8,3,7,5,4,6,9,1]
[1,11,3,5,10,6,8,9,7,4,12,2]=>[2,12,4,7,9,8,6,10,5,3,11,1]
[1,11,3,5,10,7,8,6,9,4,12,2]=>[2,12,4,9,6,8,7,10,5,3,11,1]
[1,11,3,7,5,6,10,8,9,4,12,2]=>[2,12,4,9,8,10,6,5,7,3,11,1]
[1,11,3,9,5,7,8,6,10,4,12,2]=>[2,12,4,10,6,8,7,5,9,3,11,1]
[1,11,3,9,6,7,5,8,10,4,12,2]=>[2,12,4,10,8,5,7,6,9,3,11,1]
[1,11,4,5,3,7,10,8,9,6,12,2]=>[2,12,6,9,8,10,7,3,5,4,11,1]
[1,11,4,5,3,9,7,8,10,6,12,2]=>[2,12,6,10,8,7,9,3,5,4,11,1]
[1,11,4,7,5,6,3,9,10,8,12,2]=>[2,12,8,10,9,3,6,5,7,4,11,1]
[1,11,6,4,5,7,3,9,10,8,12,2]=>[2,12,8,10,9,3,7,5,4,6,11,1]
[1,11,4,9,5,7,8,6,3,10,12,2]=>[2,12,10,3,6,8,7,5,9,4,11,1]
[1,11,4,9,6,7,5,8,3,10,12,2]=>[2,12,10,3,8,5,7,6,9,4,11,1]
[1,11,6,4,5,9,7,8,3,10,12,2]=>[2,12,10,3,8,7,9,5,4,6,11,1]
[1,11,8,4,6,7,5,9,3,10,12,2]=>[2,12,10,3,9,5,7,6,4,8,11,1]
[1,11,8,5,6,4,7,9,3,10,12,2]=>[2,12,10,3,9,7,4,6,5,8,11,1]
[2,3,1,5,12,6,8,11,9,10,7,4]=>[4,7,10,9,11,8,6,12,5,1,3,2]
[2,3,1,5,12,6,10,8,9,11,7,4]=>[4,7,11,9,8,10,6,12,5,1,3,2]
[2,3,1,5,12,7,8,6,10,11,9,4]=>[4,9,11,10,6,8,7,12,5,1,3,2]
[2,3,1,5,12,7,10,8,9,6,11,4]=>[4,11,6,9,8,10,7,12,5,1,3,2]
[2,3,1,5,12,9,7,8,10,6,11,4]=>[4,11,6,10,8,7,9,12,5,1,3,2]
[2,3,1,7,5,6,12,8,10,11,9,4]=>[4,9,11,10,8,12,6,5,7,1,3,2]
[2,3,1,7,5,6,12,9,10,8,11,4]=>[4,11,8,10,9,12,6,5,7,1,3,2]
[2,3,1,9,5,7,8,6,12,10,11,4]=>[4,11,10,12,6,8,7,5,9,1,3,2]
[2,3,1,9,6,7,5,8,12,10,11,4]=>[4,11,10,12,8,5,7,6,9,1,3,2]
[2,3,1,11,5,7,10,8,9,6,12,4]=>[4,12,6,9,8,10,7,5,11,1,3,2]
[2,3,1,11,5,9,7,8,10,6,12,4]=>[4,12,6,10,8,7,9,5,11,1,3,2]
[2,3,1,11,6,7,5,9,10,8,12,4]=>[4,12,8,10,9,5,7,6,11,1,3,2]
[2,3,1,11,6,9,7,8,5,10,12,4]=>[4,12,10,5,8,7,9,6,11,1,3,2]
[2,3,1,11,8,6,7,9,5,10,12,4]=>[4,12,10,5,9,7,6,8,11,1,3,2]
[2,5,3,4,1,7,12,8,10,11,9,6]=>[6,9,11,10,8,12,7,1,4,3,5,2]
[2,5,3,4,1,7,12,9,10,8,11,6]=>[6,11,8,10,9,12,7,1,4,3,5,2]
[2,5,3,4,1,9,7,8,12,10,11,6]=>[6,11,10,12,8,7,9,1,4,3,5,2]
[2,5,3,4,1,11,7,9,10,8,12,6]=>[6,12,8,10,9,7,11,1,4,3,5,2]
[2,5,3,4,1,11,8,9,7,10,12,6]=>[6,12,10,7,9,8,11,1,4,3,5,2]
[4,2,3,5,1,7,12,8,10,11,9,6]=>[6,9,11,10,8,12,7,1,5,3,2,4]
[4,2,3,5,1,7,12,9,10,8,11,6]=>[6,11,8,10,9,12,7,1,5,3,2,4]
[4,2,3,5,1,9,7,8,12,10,11,6]=>[6,11,10,12,8,7,9,1,5,3,2,4]
[4,2,3,5,1,11,7,9,10,8,12,6]=>[6,12,8,10,9,7,11,1,5,3,2,4]
[4,2,3,5,1,11,8,9,7,10,12,6]=>[6,12,10,7,9,8,11,1,5,3,2,4]
[2,7,3,5,6,4,1,9,12,10,11,8]=>[8,11,10,12,9,1,4,6,5,3,7,2]
[2,7,3,5,6,4,1,11,9,10,12,8]=>[8,12,10,9,11,1,4,6,5,3,7,2]
[2,7,4,5,3,6,1,9,12,10,11,8]=>[8,11,10,12,9,1,6,3,5,4,7,2]
[2,7,4,5,3,6,1,11,9,10,12,8]=>[8,12,10,9,11,1,6,3,5,4,7,2]
[4,2,3,7,5,6,1,9,12,10,11,8]=>[8,11,10,12,9,1,6,5,7,3,2,4]
[4,2,3,7,5,6,1,11,9,10,12,8]=>[8,12,10,9,11,1,6,5,7,3,2,4]
[6,2,4,5,3,7,1,9,12,10,11,8]=>[8,11,10,12,9,1,7,3,5,4,2,6]
[6,2,4,5,3,7,1,11,9,10,12,8]=>[8,12,10,9,11,1,7,3,5,4,2,6]
[6,3,4,2,5,7,1,9,12,10,11,8]=>[8,11,10,12,9,1,7,5,2,4,3,6]
[6,3,4,2,5,7,1,11,9,10,12,8]=>[8,12,10,9,11,1,7,5,2,4,3,6]
[2,9,3,5,8,6,7,4,1,11,12,10]=>[10,12,11,1,4,7,6,8,5,3,9,2]
[2,9,3,7,5,6,8,4,1,11,12,10]=>[10,12,11,1,4,8,6,5,7,3,9,2]
[2,9,4,5,3,7,8,6,1,11,12,10]=>[10,12,11,1,6,8,7,3,5,4,9,2]
[2,9,4,7,5,6,3,8,1,11,12,10]=>[10,12,11,1,8,3,6,5,7,4,9,2]
[2,9,6,4,5,7,3,8,1,11,12,10]=>[10,12,11,1,8,3,7,5,4,6,9,2]
[4,2,3,9,5,7,8,6,1,11,12,10]=>[10,12,11,1,6,8,7,5,9,3,2,4]
[4,2,3,9,6,7,5,8,1,11,12,10]=>[10,12,11,1,8,5,7,6,9,3,2,4]
[6,2,4,5,3,9,7,8,1,11,12,10]=>[10,12,11,1,8,7,9,3,5,4,2,6]
[6,3,4,2,5,9,7,8,1,11,12,10]=>[10,12,11,1,8,7,9,5,2,4,3,6]
[8,2,4,7,5,6,3,9,1,11,12,10]=>[10,12,11,1,9,3,6,5,7,4,2,8]
[8,2,6,4,5,7,3,9,1,11,12,10]=>[10,12,11,1,9,3,7,5,4,6,2,8]
[8,3,4,2,6,7,5,9,1,11,12,10]=>[10,12,11,1,9,5,7,6,2,4,3,8]
[8,3,6,4,5,2,7,9,1,11,12,10]=>[10,12,11,1,9,7,2,5,4,6,3,8]
[8,5,3,4,6,2,7,9,1,11,12,10]=>[10,12,11,1,9,7,2,6,4,3,5,8]
[2,11,3,5,10,6,8,9,7,4,1,12]=>[12,1,4,7,9,8,6,10,5,3,11,2]
[2,11,3,5,10,7,8,6,9,4,1,12]=>[12,1,4,9,6,8,7,10,5,3,11,2]
[2,11,3,7,5,6,10,8,9,4,1,12]=>[12,1,4,9,8,10,6,5,7,3,11,2]
[2,11,3,9,5,7,8,6,10,4,1,12]=>[12,1,4,10,6,8,7,5,9,3,11,2]
[2,11,3,9,6,7,5,8,10,4,1,12]=>[12,1,4,10,8,5,7,6,9,3,11,2]
[2,11,4,5,3,7,10,8,9,6,1,12]=>[12,1,6,9,8,10,7,3,5,4,11,2]
[2,11,4,5,3,9,7,8,10,6,1,12]=>[12,1,6,10,8,7,9,3,5,4,11,2]
[2,11,4,7,5,6,3,9,10,8,1,12]=>[12,1,8,10,9,3,6,5,7,4,11,2]
[2,11,6,4,5,7,3,9,10,8,1,12]=>[12,1,8,10,9,3,7,5,4,6,11,2]
[2,11,4,9,5,7,8,6,3,10,1,12]=>[12,1,10,3,6,8,7,5,9,4,11,2]
[2,11,4,9,6,7,5,8,3,10,1,12]=>[12,1,10,3,8,5,7,6,9,4,11,2]
[2,11,6,4,5,9,7,8,3,10,1,12]=>[12,1,10,3,8,7,9,5,4,6,11,2]
[2,11,8,4,6,7,5,9,3,10,1,12]=>[12,1,10,3,9,5,7,6,4,8,11,2]
[2,11,8,5,6,4,7,9,3,10,1,12]=>[12,1,10,3,9,7,4,6,5,8,11,2]
[4,2,3,11,5,7,10,8,9,6,1,12]=>[12,1,6,9,8,10,7,5,11,3,2,4]
[4,2,3,11,5,9,7,8,10,6,1,12]=>[12,1,6,10,8,7,9,5,11,3,2,4]
[4,2,3,11,6,7,5,9,10,8,1,12]=>[12,1,8,10,9,5,7,6,11,3,2,4]
[4,2,3,11,6,9,7,8,5,10,1,12]=>[12,1,10,5,8,7,9,6,11,3,2,4]
[4,2,3,11,8,6,7,9,5,10,1,12]=>[12,1,10,5,9,7,6,8,11,3,2,4]
[6,2,4,5,3,11,7,9,10,8,1,12]=>[12,1,8,10,9,7,11,3,5,4,2,6]
[6,2,4,5,3,11,8,9,7,10,1,12]=>[12,1,10,7,9,8,11,3,5,4,2,6]
[6,3,4,2,5,11,7,9,10,8,1,12]=>[12,1,8,10,9,7,11,5,2,4,3,6]
[6,3,4,2,5,11,8,9,7,10,1,12]=>[12,1,10,7,9,8,11,5,2,4,3,6]
[8,2,4,7,5,6,3,11,9,10,1,12]=>[12,1,10,9,11,3,6,5,7,4,2,8]
[8,2,6,4,5,7,3,11,9,10,1,12]=>[12,1,10,9,11,3,7,5,4,6,2,8]
[8,3,4,2,6,7,5,11,9,10,1,12]=>[12,1,10,9,11,5,7,6,2,4,3,8]
[8,3,6,4,5,2,7,11,9,10,1,12]=>[12,1,10,9,11,7,2,5,4,6,3,8]
[8,5,3,4,6,2,7,11,9,10,1,12]=>[12,1,10,9,11,7,2,6,4,3,5,8]
[10,2,4,9,5,7,8,6,3,11,1,12]=>[12,1,11,3,6,8,7,5,9,4,2,10]
[10,2,4,9,6,7,5,8,3,11,1,12]=>[12,1,11,3,8,5,7,6,9,4,2,10]
[10,2,6,4,5,9,7,8,3,11,1,12]=>[12,1,11,3,8,7,9,5,4,6,2,10]
[10,2,8,4,6,7,5,9,3,11,1,12]=>[12,1,11,3,9,5,7,6,4,8,2,10]
[10,2,8,5,6,4,7,9,3,11,1,12]=>[12,1,11,3,9,7,4,6,5,8,2,10]
[10,3,4,2,6,9,7,8,5,11,1,12]=>[12,1,11,5,8,7,9,6,2,4,3,10]
[10,3,4,2,8,6,7,9,5,11,1,12]=>[12,1,11,5,9,7,6,8,2,4,3,10]
[10,3,6,4,5,2,8,9,7,11,1,12]=>[12,1,11,7,9,8,2,5,4,6,3,10]
[10,5,3,4,6,2,8,9,7,11,1,12]=>[12,1,11,7,9,8,2,6,4,3,5,10]
[10,3,8,4,6,7,5,2,9,11,1,12]=>[12,1,11,9,2,5,7,6,4,8,3,10]
[10,3,8,5,6,4,7,2,9,11,1,12]=>[12,1,11,9,2,7,4,6,5,8,3,10]
[10,5,3,4,8,6,7,2,9,11,1,12]=>[12,1,11,9,2,7,6,8,4,3,5,10]
[10,7,3,5,6,4,8,2,9,11,1,12]=>[12,1,11,9,2,8,4,6,5,3,7,10]
[10,7,4,5,3,6,8,2,9,11,1,12]=>[12,1,11,9,2,8,6,3,5,4,7,10]
[3,2,5,4,7,6,9,8,1,12,11,10]=>[10,11,12,1,8,9,6,7,4,5,2,3]
[3,2,5,4,7,6,11,10,9,8,1,12]=>[12,1,8,9,10,11,6,7,4,5,2,3]
[3,2,5,4,7,6,1,10,9,12,11,8]=>[8,11,12,9,10,1,6,7,4,5,2,3]
[3,2,5,4,7,6,1,12,11,10,9,8]=>[8,9,10,11,12,1,6,7,4,5,2,3]
[3,2,5,4,9,8,7,6,11,10,1,12]=>[12,1,10,11,6,7,8,9,4,5,2,3]
[3,2,5,4,9,8,7,6,1,12,11,10]=>[10,11,12,1,6,7,8,9,4,5,2,3]
[3,2,5,4,11,8,7,10,9,6,1,12]=>[12,1,6,9,10,7,8,11,4,5,2,3]
[3,2,5,4,1,8,7,10,9,12,11,6]=>[6,11,12,9,10,7,8,1,4,5,2,3]
[3,2,5,4,1,8,7,12,11,10,9,6]=>[6,9,10,11,12,7,8,1,4,5,2,3]
[3,2,5,4,11,10,9,8,7,6,1,12]=>[12,1,6,7,8,9,10,11,4,5,2,3]
[3,2,5,4,1,10,9,8,7,12,11,6]=>[6,11,12,7,8,9,10,1,4,5,2,3]
[3,2,5,4,1,12,9,8,11,10,7,6]=>[6,7,10,11,8,9,12,1,4,5,2,3]
[3,2,5,4,1,12,11,10,9,8,7,6]=>[6,7,8,9,10,11,12,1,4,5,2,3]
[3,2,7,6,5,4,9,8,11,10,1,12]=>[12,1,10,11,8,9,4,5,6,7,2,3]
[3,2,7,6,5,4,9,8,1,12,11,10]=>[10,11,12,1,8,9,4,5,6,7,2,3]
[3,2,7,6,5,4,11,10,9,8,1,12]=>[12,1,8,9,10,11,4,5,6,7,2,3]
[3,2,7,6,5,4,1,10,9,12,11,8]=>[8,11,12,9,10,1,4,5,6,7,2,3]
[3,2,7,6,5,4,1,12,11,10,9,8]=>[8,9,10,11,12,1,4,5,6,7,2,3]
[3,2,9,6,5,8,7,4,11,10,1,12]=>[12,1,10,11,4,7,8,5,6,9,2,3]
[3,2,9,6,5,8,7,4,1,12,11,10]=>[10,11,12,1,4,7,8,5,6,9,2,3]
[3,2,11,6,5,8,7,10,9,4,1,12]=>[12,1,4,9,10,7,8,5,6,11,2,3]
[3,2,1,6,5,8,7,10,9,12,11,4]=>[4,11,12,9,10,7,8,5,6,1,2,3]
[3,2,1,6,5,8,7,12,11,10,9,4]=>[4,9,10,11,12,7,8,5,6,1,2,3]
[3,2,11,6,5,10,9,8,7,4,1,12]=>[12,1,4,7,8,9,10,5,6,11,2,3]
[3,2,1,6,5,10,9,8,7,12,11,4]=>[4,11,12,7,8,9,10,5,6,1,2,3]
[3,2,1,6,5,12,9,8,11,10,7,4]=>[4,7,10,11,8,9,12,5,6,1,2,3]
[3,2,1,6,5,12,11,10,9,8,7,4]=>[4,7,8,9,10,11,12,5,6,1,2,3]
[3,2,9,8,7,6,5,4,11,10,1,12]=>[12,1,10,11,4,5,6,7,8,9,2,3]
[3,2,9,8,7,6,5,4,1,12,11,10]=>[10,11,12,1,4,5,6,7,8,9,2,3]
[3,2,11,8,7,6,5,10,9,4,1,12]=>[12,1,4,9,10,5,6,7,8,11,2,3]
[3,2,1,8,7,6,5,10,9,12,11,4]=>[4,11,12,9,10,5,6,7,8,1,2,3]
[3,2,1,8,7,6,5,12,11,10,9,4]=>[4,9,10,11,12,5,6,7,8,1,2,3]
[3,2,11,10,7,6,9,8,5,4,1,12]=>[12,1,4,5,8,9,6,7,10,11,2,3]
[3,2,1,10,7,6,9,8,5,12,11,4]=>[4,11,12,5,8,9,6,7,10,1,2,3]
[3,2,1,12,7,6,9,8,11,10,5,4]=>[4,5,10,11,8,9,6,7,12,1,2,3]
[3,2,1,12,7,6,11,10,9,8,5,4]=>[4,5,8,9,10,11,6,7,12,1,2,3]
[3,2,11,10,9,8,7,6,5,4,1,12]=>[12,1,4,5,6,7,8,9,10,11,2,3]
[3,2,1,10,9,8,7,6,5,12,11,4]=>[4,11,12,5,6,7,8,9,10,1,2,3]
[3,2,1,12,9,8,7,6,11,10,5,4]=>[4,5,10,11,6,7,8,9,12,1,2,3]
[3,2,1,12,11,8,7,10,9,6,5,4]=>[4,5,6,9,10,7,8,11,12,1,2,3]
[3,2,1,12,11,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,11,12,1,2,3]
[5,4,3,2,7,6,9,8,11,10,1,12]=>[12,1,10,11,8,9,6,7,2,3,4,5]
[5,4,3,2,7,6,9,8,1,12,11,10]=>[10,11,12,1,8,9,6,7,2,3,4,5]
[5,4,3,2,7,6,11,10,9,8,1,12]=>[12,1,8,9,10,11,6,7,2,3,4,5]
[5,4,3,2,7,6,1,10,9,12,11,8]=>[8,11,12,9,10,1,6,7,2,3,4,5]
[5,4,3,2,7,6,1,12,11,10,9,8]=>[8,9,10,11,12,1,6,7,2,3,4,5]
[5,4,3,2,9,8,7,6,11,10,1,12]=>[12,1,10,11,6,7,8,9,2,3,4,5]
[5,4,3,2,9,8,7,6,1,12,11,10]=>[10,11,12,1,6,7,8,9,2,3,4,5]
[5,4,3,2,11,8,7,10,9,6,1,12]=>[12,1,6,9,10,7,8,11,2,3,4,5]
[5,4,3,2,1,8,7,10,9,12,11,6]=>[6,11,12,9,10,7,8,1,2,3,4,5]
[5,4,3,2,1,8,7,12,11,10,9,6]=>[6,9,10,11,12,7,8,1,2,3,4,5]
[5,4,3,2,11,10,9,8,7,6,1,12]=>[12,1,6,7,8,9,10,11,2,3,4,5]
[5,4,3,2,1,10,9,8,7,12,11,6]=>[6,11,12,7,8,9,10,1,2,3,4,5]
[5,4,3,2,1,12,9,8,11,10,7,6]=>[6,7,10,11,8,9,12,1,2,3,4,5]
[5,4,3,2,1,12,11,10,9,8,7,6]=>[6,7,8,9,10,11,12,1,2,3,4,5]
[7,4,3,6,5,2,9,8,11,10,1,12]=>[12,1,10,11,8,9,2,5,6,3,4,7]
[7,4,3,6,5,2,9,8,1,12,11,10]=>[10,11,12,1,8,9,2,5,6,3,4,7]
[7,4,3,6,5,2,11,10,9,8,1,12]=>[12,1,8,9,10,11,2,5,6,3,4,7]
[7,4,3,6,5,2,1,10,9,12,11,8]=>[8,11,12,9,10,1,2,5,6,3,4,7]
[7,4,3,6,5,2,1,12,11,10,9,8]=>[8,9,10,11,12,1,2,5,6,3,4,7]
[9,4,3,6,5,8,7,2,11,10,1,12]=>[12,1,10,11,2,7,8,5,6,3,4,9]
[9,4,3,6,5,8,7,2,1,12,11,10]=>[10,11,12,1,2,7,8,5,6,3,4,9]
[11,4,3,6,5,8,7,10,9,2,1,12]=>[12,1,2,9,10,7,8,5,6,3,4,11]
[1,4,3,6,5,8,7,10,9,12,11,2]=>[2,11,12,9,10,7,8,5,6,3,4,1]
[1,4,3,6,5,8,7,12,11,10,9,2]=>[2,9,10,11,12,7,8,5,6,3,4,1]
[11,4,3,6,5,10,9,8,7,2,1,12]=>[12,1,2,7,8,9,10,5,6,3,4,11]
[1,4,3,6,5,10,9,8,7,12,11,2]=>[2,11,12,7,8,9,10,5,6,3,4,1]
[1,4,3,6,5,12,9,8,11,10,7,2]=>[2,7,10,11,8,9,12,5,6,3,4,1]
[1,4,3,6,5,12,11,10,9,8,7,2]=>[2,7,8,9,10,11,12,5,6,3,4,1]
[9,4,3,8,7,6,5,2,11,10,1,12]=>[12,1,10,11,2,5,6,7,8,3,4,9]
[9,4,3,8,7,6,5,2,1,12,11,10]=>[10,11,12,1,2,5,6,7,8,3,4,9]
[11,4,3,8,7,6,5,10,9,2,1,12]=>[12,1,2,9,10,5,6,7,8,3,4,11]
[1,4,3,8,7,6,5,10,9,12,11,2]=>[2,11,12,9,10,5,6,7,8,3,4,1]
[1,4,3,8,7,6,5,12,11,10,9,2]=>[2,9,10,11,12,5,6,7,8,3,4,1]
[11,4,3,10,7,6,9,8,5,2,1,12]=>[12,1,2,5,8,9,6,7,10,3,4,11]
[1,4,3,10,7,6,9,8,5,12,11,2]=>[2,11,12,5,8,9,6,7,10,3,4,1]
[1,4,3,12,7,6,9,8,11,10,5,2]=>[2,5,10,11,8,9,6,7,12,3,4,1]
[1,4,3,12,7,6,11,10,9,8,5,2]=>[2,5,8,9,10,11,6,7,12,3,4,1]
[11,4,3,10,9,8,7,6,5,2,1,12]=>[12,1,2,5,6,7,8,9,10,3,4,11]
[1,4,3,10,9,8,7,6,5,12,11,2]=>[2,11,12,5,6,7,8,9,10,3,4,1]
[1,4,3,12,9,8,7,6,11,10,5,2]=>[2,5,10,11,6,7,8,9,12,3,4,1]
[1,4,3,12,11,8,7,10,9,6,5,2]=>[2,5,6,9,10,7,8,11,12,3,4,1]
[1,4,3,12,11,10,9,8,7,6,5,2]=>[2,5,6,7,8,9,10,11,12,3,4,1]
[7,6,5,4,3,2,9,8,11,10,1,12]=>[12,1,10,11,8,9,2,3,4,5,6,7]
[7,6,5,4,3,2,9,8,1,12,11,10]=>[10,11,12,1,8,9,2,3,4,5,6,7]
[7,6,5,4,3,2,11,10,9,8,1,12]=>[12,1,8,9,10,11,2,3,4,5,6,7]
[7,6,5,4,3,2,1,10,9,12,11,8]=>[8,11,12,9,10,1,2,3,4,5,6,7]
[7,6,5,4,3,2,1,12,11,10,9,8]=>[8,9,10,11,12,1,2,3,4,5,6,7]
[9,6,5,4,3,8,7,2,11,10,1,12]=>[12,1,10,11,2,7,8,3,4,5,6,9]
[9,6,5,4,3,8,7,2,1,12,11,10]=>[10,11,12,1,2,7,8,3,4,5,6,9]
[11,6,5,4,3,8,7,10,9,2,1,12]=>[12,1,2,9,10,7,8,3,4,5,6,11]
[1,6,5,4,3,8,7,10,9,12,11,2]=>[2,11,12,9,10,7,8,3,4,5,6,1]
[1,6,5,4,3,8,7,12,11,10,9,2]=>[2,9,10,11,12,7,8,3,4,5,6,1]
[11,6,5,4,3,10,9,8,7,2,1,12]=>[12,1,2,7,8,9,10,3,4,5,6,11]
[1,6,5,4,3,10,9,8,7,12,11,2]=>[2,11,12,7,8,9,10,3,4,5,6,1]
[1,6,5,4,3,12,9,8,11,10,7,2]=>[2,7,10,11,8,9,12,3,4,5,6,1]
[1,6,5,4,3,12,11,10,9,8,7,2]=>[2,7,8,9,10,11,12,3,4,5,6,1]
[9,8,5,4,7,6,3,2,11,10,1,12]=>[12,1,10,11,2,3,6,7,4,5,8,9]
[9,8,5,4,7,6,3,2,1,12,11,10]=>[10,11,12,1,2,3,6,7,4,5,8,9]
[11,8,5,4,7,6,3,10,9,2,1,12]=>[12,1,2,9,10,3,6,7,4,5,8,11]
[1,8,5,4,7,6,3,10,9,12,11,2]=>[2,11,12,9,10,3,6,7,4,5,8,1]
[1,8,5,4,7,6,3,12,11,10,9,2]=>[2,9,10,11,12,3,6,7,4,5,8,1]
[11,10,5,4,7,6,9,8,3,2,1,12]=>[12,1,2,3,8,9,6,7,4,5,10,11]
[1,10,5,4,7,6,9,8,3,12,11,2]=>[2,11,12,3,8,9,6,7,4,5,10,1]
[1,12,5,4,7,6,9,8,11,10,3,2]=>[2,3,10,11,8,9,6,7,4,5,12,1]
[1,12,5,4,7,6,11,10,9,8,3,2]=>[2,3,8,9,10,11,6,7,4,5,12,1]
[11,10,5,4,9,8,7,6,3,2,1,12]=>[12,1,2,3,6,7,8,9,4,5,10,11]
[1,10,5,4,9,8,7,6,3,12,11,2]=>[2,11,12,3,6,7,8,9,4,5,10,1]
[1,12,5,4,9,8,7,6,11,10,3,2]=>[2,3,10,11,6,7,8,9,4,5,12,1]
[1,12,5,4,11,8,7,10,9,6,3,2]=>[2,3,6,9,10,7,8,11,4,5,12,1]
[1,12,5,4,11,10,9,8,7,6,3,2]=>[2,3,6,7,8,9,10,11,4,5,12,1]
[9,8,7,6,5,4,3,2,11,10,1,12]=>[12,1,10,11,2,3,4,5,6,7,8,9]
[9,8,7,6,5,4,3,2,1,12,11,10]=>[10,11,12,1,2,3,4,5,6,7,8,9]
[11,8,7,6,5,4,3,10,9,2,1,12]=>[12,1,2,9,10,3,4,5,6,7,8,11]
[1,8,7,6,5,4,3,10,9,12,11,2]=>[2,11,12,9,10,3,4,5,6,7,8,1]
[1,8,7,6,5,4,3,12,11,10,9,2]=>[2,9,10,11,12,3,4,5,6,7,8,1]
[11,10,7,6,5,4,9,8,3,2,1,12]=>[12,1,2,3,8,9,4,5,6,7,10,11]
[1,10,7,6,5,4,9,8,3,12,11,2]=>[2,11,12,3,8,9,4,5,6,7,10,1]
[1,12,7,6,5,4,9,8,11,10,3,2]=>[2,3,10,11,8,9,4,5,6,7,12,1]
[1,12,7,6,5,4,11,10,9,8,3,2]=>[2,3,8,9,10,11,4,5,6,7,12,1]
[11,10,9,6,5,8,7,4,3,2,1,12]=>[12,1,2,3,4,7,8,5,6,9,10,11]
[1,10,9,6,5,8,7,4,3,12,11,2]=>[2,11,12,3,4,7,8,5,6,9,10,1]
[1,12,9,6,5,8,7,4,11,10,3,2]=>[2,3,10,11,4,7,8,5,6,9,12,1]
[1,12,11,6,5,8,7,10,9,4,3,2]=>[2,3,4,9,10,7,8,5,6,11,12,1]
[1,12,11,6,5,10,9,8,7,4,3,2]=>[2,3,4,7,8,9,10,5,6,11,12,1]
[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]
[1,10,9,8,7,6,5,4,3,12,11,2]=>[2,11,12,3,4,5,6,7,8,9,10,1]
[1,12,9,8,7,6,5,4,11,10,3,2]=>[2,3,10,11,4,5,6,7,8,9,12,1]
[1,12,11,8,7,6,5,10,9,4,3,2]=>[2,3,4,9,10,5,6,7,8,11,12,1]
[1,12,11,10,7,6,9,8,5,4,3,2]=>[2,3,4,5,8,9,6,7,10,11,12,1]
[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]
[12,11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11,12]
[10,7,11,4,8,12,2,5,9,1,3,6]=>[6,3,1,9,5,2,12,8,4,11,7,10]
[9,6,10,4,7,2,5,11,1,3,8,12]=>[12,8,3,1,11,5,2,7,4,10,6,9]
[8,6,9,4,7,2,5,1,3,10,11,12]=>[12,11,10,3,1,5,2,7,4,9,6,8]
[9,6,3,10,11,2,7,8,1,4,5,12]=>[12,5,4,1,8,7,2,11,10,3,6,9]
[9,5,3,10,2,6,11,12,1,4,7,8]=>[8,7,4,1,12,11,6,2,10,3,5,9]
[8,5,3,9,2,6,10,1,4,7,11,12]=>[12,11,7,4,1,10,6,2,9,3,5,8]
[8,4,3,2,9,10,11,1,5,6,7,12]=>[12,7,6,5,1,11,10,9,2,3,4,8]
[9,10,6,7,11,3,4,8,1,2,5,12]=>[12,5,2,1,8,4,3,11,7,6,10,9]
[9,10,5,6,3,4,11,12,1,2,7,8]=>[8,7,2,1,12,11,4,3,6,5,10,9]
[8,9,5,6,3,4,10,1,2,7,11,12]=>[12,11,7,2,1,10,4,3,6,5,9,8]
[9,5,10,11,2,6,7,12,1,3,4,8]=>[8,4,3,1,12,7,6,2,11,10,5,9]
[8,5,9,10,2,6,7,1,3,4,11,12]=>[12,11,4,3,1,7,6,2,10,9,5,8]
[8,4,9,2,5,10,11,1,3,6,7,12]=>[12,7,6,3,1,11,10,5,2,9,4,8]
[8,9,10,4,5,6,11,1,2,3,7,12]=>[12,7,3,2,1,11,6,5,4,10,9,8]
[2,3,4,5,6,7,8,9,10,11,12,1]=>[1,12,11,10,9,8,7,6,5,4,3,2]
[2,4,1,5,6,7,8,9,10,11,12,3]=>[3,12,11,10,9,8,7,6,5,1,4,2]
[2,4,6,8,11,1,12,3,5,7,9,10]=>[10,9,7,5,3,12,1,11,8,6,4,2]
[2,4,6,9,1,10,12,3,5,7,8,11]=>[11,8,7,5,3,12,10,1,9,6,4,2]
[2,4,6,9,11,1,3,12,5,7,8,10]=>[10,8,7,5,12,3,1,11,9,6,4,2]
[2,4,6,10,1,11,3,12,5,7,8,9]=>[9,8,7,5,12,3,11,1,10,6,4,2]
[2,4,7,1,8,10,12,3,5,6,9,11]=>[11,9,6,5,3,12,10,8,1,7,4,2]
[2,4,7,1,8,11,3,12,5,6,9,10]=>[10,9,6,5,12,3,11,8,1,7,4,2]
[2,4,7,9,1,3,10,12,5,6,8,11]=>[11,8,6,5,12,10,3,1,9,7,4,2]
[2,4,8,1,9,3,10,12,5,6,7,11]=>[11,7,6,5,12,10,3,9,1,8,4,2]
[2,4,7,9,11,1,3,5,12,6,8,10]=>[10,8,6,12,5,3,1,11,9,7,4,2]
[2,4,7,10,1,11,3,5,12,6,8,9]=>[9,8,6,12,5,3,11,1,10,7,4,2]
[2,4,8,1,9,11,3,5,12,6,7,10]=>[10,7,6,12,5,3,11,9,1,8,4,2]
[2,4,8,10,1,3,11,5,12,6,7,9]=>[9,7,6,12,5,11,3,1,10,8,4,2]
[2,4,9,1,10,3,11,5,12,6,7,8]=>[8,7,6,12,5,11,3,10,1,9,4,2]
[2,5,1,6,8,10,12,3,4,7,9,11]=>[11,9,7,4,3,12,10,8,6,1,5,2]
[2,5,1,6,8,11,3,12,4,7,9,10]=>[10,9,7,4,12,3,11,8,6,1,5,2]
[2,5,1,6,9,3,10,12,4,7,8,11]=>[11,8,7,4,12,10,3,9,6,1,5,2]
[2,5,1,6,9,11,3,4,12,7,8,10]=>[10,8,7,12,4,3,11,9,6,1,5,2]
[2,5,1,6,10,3,11,4,12,7,8,9]=>[9,8,7,12,4,11,3,10,6,1,5,2]
[2,5,7,1,3,8,10,12,4,6,9,11]=>[11,9,6,4,12,10,8,3,1,7,5,2]
[2,5,7,1,3,8,11,4,12,6,9,10]=>[10,9,6,12,4,11,8,3,1,7,5,2]
[2,6,1,7,3,8,10,12,4,5,9,11]=>[11,9,5,4,12,10,8,3,7,1,6,2]
[2,6,1,7,3,8,11,4,12,5,9,10]=>[10,9,5,12,4,11,8,3,7,1,6,2]
[2,5,7,9,1,3,4,10,12,6,8,11]=>[11,8,6,12,10,4,3,1,9,7,5,2]
[2,5,8,1,9,3,4,10,12,6,7,11]=>[11,7,6,12,10,4,3,9,1,8,5,2]
[2,6,1,7,9,3,4,10,12,5,8,11]=>[11,8,5,12,10,4,3,9,7,1,6,2]
[2,6,8,1,3,9,4,10,12,5,7,11]=>[11,7,5,12,10,4,9,3,1,8,6,2]
[2,7,1,8,3,9,4,10,12,5,6,11]=>[11,6,5,12,10,4,9,3,8,1,7,2]
[2,5,7,9,11,1,3,4,6,12,8,10]=>[10,8,12,6,4,3,1,11,9,7,5,2]
[2,5,7,10,1,11,3,4,6,12,8,9]=>[9,8,12,6,4,3,11,1,10,7,5,2]
[2,5,8,1,9,11,3,4,6,12,7,10]=>[10,7,12,6,4,3,11,9,1,8,5,2]
[2,5,8,10,1,3,11,4,6,12,7,9]=>[9,7,12,6,4,11,3,1,10,8,5,2]
[2,5,9,1,10,3,11,4,6,12,7,8]=>[8,7,12,6,4,11,3,10,1,9,5,2]
[2,6,1,7,9,11,3,4,5,12,8,10]=>[10,8,12,5,4,3,11,9,7,1,6,2]
[2,6,1,7,10,3,11,4,5,12,8,9]=>[9,8,12,5,4,11,3,10,7,1,6,2]
[2,6,8,1,3,9,11,4,5,12,7,10]=>[10,7,12,5,4,11,9,3,1,8,6,2]
[2,7,1,8,3,9,11,4,5,12,6,10]=>[10,6,12,5,4,11,9,3,8,1,7,2]
[2,6,8,10,1,3,4,11,5,12,7,9]=>[9,7,12,5,11,4,3,1,10,8,6,2]
[2,6,9,1,10,3,4,11,5,12,7,8]=>[8,7,12,5,11,4,3,10,1,9,6,2]
[2,7,1,8,10,3,4,11,5,12,6,9]=>[9,6,12,5,11,4,3,10,8,1,7,2]
[2,7,9,1,3,10,4,11,5,12,6,8]=>[8,6,12,5,11,4,10,3,1,9,7,2]
[2,8,1,9,3,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,3,9,1,8,2]
[3,1,4,6,8,10,12,2,5,7,9,11]=>[11,9,7,5,2,12,10,8,6,4,1,3]
[3,1,4,6,8,11,2,12,5,7,9,10]=>[10,9,7,5,12,2,11,8,6,4,1,3]
[3,1,4,6,9,2,10,12,5,7,8,11]=>[11,8,7,5,12,10,2,9,6,4,1,3]
[3,1,4,6,9,11,2,5,12,7,8,10]=>[10,8,7,12,5,2,11,9,6,4,1,3]
[3,1,4,6,10,2,11,5,12,7,8,9]=>[9,8,7,12,5,11,2,10,6,4,1,3]
[3,1,4,7,2,8,10,12,5,6,9,11]=>[11,9,6,5,12,10,8,2,7,4,1,3]
[3,1,4,7,2,8,11,5,12,6,9,10]=>[10,9,6,12,5,11,8,2,7,4,1,3]
[3,1,4,7,9,2,5,10,12,6,8,11]=>[11,8,6,12,10,5,2,9,7,4,1,3]
[3,1,4,8,2,9,5,10,12,6,7,11]=>[11,7,6,12,10,5,9,2,8,4,1,3]
[3,1,4,7,9,11,2,5,6,12,8,10]=>[10,8,12,6,5,2,11,9,7,4,1,3]
[3,1,4,7,10,2,11,5,6,12,8,9]=>[9,8,12,6,5,11,2,10,7,4,1,3]
[3,1,4,8,2,9,11,5,6,12,7,10]=>[10,7,12,6,5,11,9,2,8,4,1,3]
[3,1,4,8,10,2,5,11,6,12,7,9]=>[9,7,12,6,11,5,2,10,8,4,1,3]
[3,1,4,9,2,10,5,11,6,12,7,8]=>[8,7,12,6,11,5,10,2,9,4,1,3]
[3,5,1,2,6,8,10,12,4,7,9,11]=>[11,9,7,4,12,10,8,6,2,1,5,3]
[3,5,1,2,6,8,11,4,12,7,9,10]=>[10,9,7,12,4,11,8,6,2,1,5,3]
[3,5,1,2,6,9,4,10,12,7,8,11]=>[11,8,7,12,10,4,9,6,2,1,5,3]
[3,5,1,2,6,9,11,4,7,12,8,10]=>[10,8,12,7,4,11,9,6,2,1,5,3]
[3,5,1,2,6,10,4,11,7,12,8,9]=>[9,8,12,7,11,4,10,6,2,1,5,3]
[4,1,5,2,6,8,10,12,3,7,9,11]=>[11,9,7,3,12,10,8,6,2,5,1,4]
[4,1,5,2,6,8,11,3,12,7,9,10]=>[10,9,7,12,3,11,8,6,2,5,1,4]
[4,1,5,2,6,9,3,10,12,7,8,11]=>[11,8,7,12,10,3,9,6,2,5,1,4]
[4,1,5,2,6,9,11,3,7,12,8,10]=>[10,8,12,7,3,11,9,6,2,5,1,4]
[4,1,5,2,6,10,3,11,7,12,8,9]=>[9,8,12,7,11,3,10,6,2,5,1,4]
[3,5,7,1,2,4,8,10,12,6,9,11]=>[11,9,6,12,10,8,4,2,1,7,5,3]
[3,5,7,1,2,4,8,11,6,12,9,10]=>[10,9,12,6,11,8,4,2,1,7,5,3]
[3,6,1,7,2,4,8,10,12,5,9,11]=>[11,9,5,12,10,8,4,2,7,1,6,3]
[3,6,1,7,2,4,8,11,5,12,9,10]=>[10,9,12,5,11,8,4,2,7,1,6,3]
[4,1,5,7,2,3,8,10,12,6,9,11]=>[11,9,6,12,10,8,3,2,7,5,1,4]
[4,1,5,7,2,3,8,11,6,12,9,10]=>[10,9,12,6,11,8,3,2,7,5,1,4]
[4,6,1,2,7,3,8,10,12,5,9,11]=>[11,9,5,12,10,8,3,7,2,1,6,4]
[4,6,1,2,7,3,8,11,5,12,9,10]=>[10,9,12,5,11,8,3,7,2,1,6,4]
[5,1,6,2,7,3,8,10,12,4,9,11]=>[11,9,4,12,10,8,3,7,2,6,1,5]
[5,1,6,2,7,3,8,11,4,12,9,10]=>[10,9,12,4,11,8,3,7,2,6,1,5]
[3,5,7,9,1,2,4,6,10,12,8,11]=>[11,8,12,10,6,4,2,1,9,7,5,3]
[3,5,8,1,9,2,4,6,10,12,7,11]=>[11,7,12,10,6,4,2,9,1,8,5,3]
[3,6,1,7,9,2,4,5,10,12,8,11]=>[11,8,12,10,5,4,2,9,7,1,6,3]
[3,6,8,1,2,9,4,5,10,12,7,11]=>[11,7,12,10,5,4,9,2,1,8,6,3]
[3,7,1,8,2,9,4,5,10,12,6,11]=>[11,6,12,10,5,4,9,2,8,1,7,3]
[4,1,5,7,9,2,3,6,10,12,8,11]=>[11,8,12,10,6,3,2,9,7,5,1,4]
[4,1,5,8,2,9,3,6,10,12,7,11]=>[11,7,12,10,6,3,9,2,8,5,1,4]
[4,6,1,2,7,9,3,5,10,12,8,11]=>[11,8,12,10,5,3,9,7,2,1,6,4]
[5,1,6,2,7,9,3,4,10,12,8,11]=>[11,8,12,10,4,3,9,7,2,6,1,5]
[4,6,8,1,2,3,9,5,10,12,7,11]=>[11,7,12,10,5,9,3,2,1,8,6,4]
[4,7,1,8,2,3,9,5,10,12,6,11]=>[11,6,12,10,5,9,3,2,8,1,7,4]
[5,1,6,8,2,3,9,4,10,12,7,11]=>[11,7,12,10,4,9,3,2,8,6,1,5]
[5,7,1,2,8,3,9,4,10,12,6,11]=>[11,6,12,10,4,9,3,8,2,1,7,5]
[6,1,7,2,8,3,9,4,10,12,5,11]=>[11,5,12,10,4,9,3,8,2,7,1,6]
[3,5,7,9,11,1,2,4,6,8,12,10]=>[10,12,8,6,4,2,1,11,9,7,5,3]
[3,5,7,10,1,11,2,4,6,8,12,9]=>[9,12,8,6,4,2,11,1,10,7,5,3]
[3,5,8,1,9,11,2,4,6,7,12,10]=>[10,12,7,6,4,2,11,9,1,8,5,3]
[3,5,8,10,1,2,11,4,6,7,12,9]=>[9,12,7,6,4,11,2,1,10,8,5,3]
[3,5,9,1,10,2,11,4,6,7,12,8]=>[8,12,7,6,4,11,2,10,1,9,5,3]
[3,6,1,7,9,11,2,4,5,8,12,10]=>[10,12,8,5,4,2,11,9,7,1,6,3]
[3,6,1,7,10,2,11,4,5,8,12,9]=>[9,12,8,5,4,11,2,10,7,1,6,3]
[3,6,8,1,2,9,11,4,5,7,12,10]=>[10,12,7,5,4,11,9,2,1,8,6,3]
[3,7,1,8,2,9,11,4,5,6,12,10]=>[10,12,6,5,4,11,9,2,8,1,7,3]
[3,6,8,10,1,2,4,11,5,7,12,9]=>[9,12,7,5,11,4,2,1,10,8,6,3]
[3,6,9,1,10,2,4,11,5,7,12,8]=>[8,12,7,5,11,4,2,10,1,9,6,3]
[3,7,1,8,10,2,4,11,5,6,12,9]=>[9,12,6,5,11,4,2,10,8,1,7,3]
[3,7,9,1,2,10,4,11,5,6,12,8]=>[8,12,6,5,11,4,10,2,1,9,7,3]
[3,8,1,9,2,10,4,11,5,6,12,7]=>[7,12,6,5,11,4,10,2,9,1,8,3]
[4,1,5,7,9,11,2,3,6,8,12,10]=>[10,12,8,6,3,2,11,9,7,5,1,4]
[4,1,5,7,10,2,11,3,6,8,12,9]=>[9,12,8,6,3,11,2,10,7,5,1,4]
[4,1,5,8,2,9,11,3,6,7,12,10]=>[10,12,7,6,3,11,9,2,8,5,1,4]
[4,1,5,8,10,2,3,11,6,7,12,9]=>[9,12,7,6,11,3,2,10,8,5,1,4]
[4,1,5,9,2,10,3,11,6,7,12,8]=>[8,12,7,6,11,3,10,2,9,5,1,4]
[4,6,1,2,7,9,11,3,5,8,12,10]=>[10,12,8,5,3,11,9,7,2,1,6,4]
[4,6,1,2,7,10,3,11,5,8,12,9]=>[9,12,8,5,11,3,10,7,2,1,6,4]
[5,1,6,2,7,9,11,3,4,8,12,10]=>[10,12,8,4,3,11,9,7,2,6,1,5]
[5,1,6,2,7,10,3,11,4,8,12,9]=>[9,12,8,4,11,3,10,7,2,6,1,5]
[4,6,8,1,2,3,9,11,5,7,12,10]=>[10,12,7,5,11,9,3,2,1,8,6,4]
[4,7,1,8,2,3,9,11,5,6,12,10]=>[10,12,6,5,11,9,3,2,8,1,7,4]
[5,1,6,8,2,3,9,11,4,7,12,10]=>[10,12,7,4,11,9,3,2,8,6,1,5]
[5,7,1,2,8,3,9,11,4,6,12,10]=>[10,12,6,4,11,9,3,8,2,1,7,5]
[6,1,7,2,8,3,9,11,4,5,12,10]=>[10,12,5,4,11,9,3,8,2,7,1,6]
[4,6,8,10,1,2,3,5,11,7,12,9]=>[9,12,7,11,5,3,2,1,10,8,6,4]
[4,6,9,1,10,2,3,5,11,7,12,8]=>[8,12,7,11,5,3,2,10,1,9,6,4]
[4,7,1,8,10,2,3,5,11,6,12,9]=>[9,12,6,11,5,3,2,10,8,1,7,4]
[4,7,9,1,2,10,3,5,11,6,12,8]=>[8,12,6,11,5,3,10,2,1,9,7,4]
[4,8,1,9,2,10,3,5,11,6,12,7]=>[7,12,6,11,5,3,10,2,9,1,8,4]
[5,1,6,8,10,2,3,4,11,7,12,9]=>[9,12,7,11,4,3,2,10,8,6,1,5]
[5,1,6,9,2,10,3,4,11,7,12,8]=>[8,12,7,11,4,3,10,2,9,6,1,5]
[5,7,1,2,8,10,3,4,11,6,12,9]=>[9,12,6,11,4,3,10,8,2,1,7,5]
[6,1,7,2,8,10,3,4,11,5,12,9]=>[9,12,5,11,4,3,10,8,2,7,1,6]
[5,7,9,1,2,3,10,4,11,6,12,8]=>[8,12,6,11,4,10,3,2,1,9,7,5]
[5,8,1,9,2,3,10,4,11,6,12,7]=>[7,12,6,11,4,10,3,2,9,1,8,5]
[6,1,7,9,2,3,10,4,11,5,12,8]=>[8,12,5,11,4,10,3,2,9,7,1,6]
[6,8,1,2,9,3,10,4,11,5,12,7]=>[7,12,5,11,4,10,3,9,2,1,8,6]
[1,2,3,4,5,6,7,8,9,10,12,11]=>[11,12,10,9,8,7,6,5,4,3,2,1]
[1,3,4,5,6,7,8,9,10,11,12,2]=>[2,12,11,10,9,8,7,6,5,4,3,1]
[2,1,4,3,6,5,8,7,10,12,11,9]=>[9,11,12,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,10,9,7,12,11]=>[11,12,7,9,10,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,12,9,11,7,8]=>[8,7,11,9,12,10,5,6,3,4,1,2]
[2,1,4,3,6,5,8,9,12,10,11,7]=>[7,11,10,12,9,8,5,6,3,4,1,2]
[2,1,4,3,6,8,7,5,10,9,12,11]=>[11,12,9,10,5,7,8,6,3,4,1,2]
[2,1,4,3,6,8,7,5,10,12,11,9]=>[9,11,12,10,5,7,8,6,3,4,1,2]
[2,1,4,3,8,10,7,9,5,6,12,11]=>[11,12,6,5,9,7,10,8,3,4,1,2]
[2,1,4,3,10,9,7,12,6,11,5,8]=>[8,5,11,6,12,7,9,10,3,4,1,2]
[2,1,4,3,8,9,7,12,10,6,11,5]=>[5,11,6,10,12,7,9,8,3,4,1,2]
[2,1,4,3,6,7,10,8,9,5,12,11]=>[11,12,5,9,8,10,7,6,3,4,1,2]
[2,1,4,3,10,7,12,8,9,11,5,6]=>[6,5,11,9,8,12,7,10,3,4,1,2]
[2,1,4,3,6,9,12,8,11,10,5,7]=>[7,5,10,11,8,12,9,6,3,4,1,2]
[2,1,4,3,6,7,8,12,9,10,11,5]=>[5,11,10,9,12,8,7,6,3,4,1,2]
[2,1,4,6,5,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,5,6,4,1,2]
[2,1,4,6,5,3,8,7,10,12,11,9]=>[9,11,12,10,7,8,3,5,6,4,1,2]
[2,1,4,6,5,3,8,10,9,7,12,11]=>[11,12,7,9,10,8,3,5,6,4,1,2]
[2,1,4,6,5,3,10,12,9,11,7,8]=>[8,7,11,9,12,10,3,5,6,4,1,2]
[2,1,4,6,5,3,8,9,12,10,11,7]=>[7,11,10,12,9,8,3,5,6,4,1,2]
[2,1,6,8,5,7,3,4,10,9,12,11]=>[11,12,9,10,4,3,7,5,8,6,1,2]
[2,1,6,8,5,7,3,4,10,12,11,9]=>[9,11,12,10,4,3,7,5,8,6,1,2]
[2,1,8,7,5,10,4,9,3,6,12,11]=>[11,12,6,3,9,4,10,5,7,8,1,2]
[2,1,10,7,5,9,4,12,6,11,3,8]=>[8,3,11,6,12,4,9,5,7,10,1,2]
[2,1,8,7,5,9,4,12,10,6,11,3]=>[3,11,6,10,12,4,9,5,7,8,1,2]
[2,1,6,7,5,10,8,4,9,3,12,11]=>[11,12,3,9,4,8,10,5,7,6,1,2]
[2,1,10,8,5,7,12,4,9,11,3,6]=>[6,3,11,9,4,12,7,5,8,10,1,2]
[2,1,6,9,5,8,12,3,11,10,4,7]=>[7,4,10,11,3,12,8,5,9,6,1,2]
[2,1,6,7,5,8,12,9,3,10,11,4]=>[4,11,10,3,9,12,8,5,7,6,1,2]
[2,1,4,5,8,6,7,3,10,9,12,11]=>[11,12,9,10,3,7,6,8,5,4,1,2]
[2,1,4,5,8,6,7,3,10,12,11,9]=>[9,11,12,10,3,7,6,8,5,4,1,2]
[2,1,8,5,10,6,7,9,3,4,12,11]=>[11,12,4,3,9,7,6,10,5,8,1,2]
[2,1,10,5,9,6,7,12,4,11,3,8]=>[8,3,11,4,12,7,6,9,5,10,1,2]
[2,1,8,5,9,6,7,12,10,4,11,3]=>[3,11,4,10,12,7,6,9,5,8,1,2]
[2,1,4,7,10,6,9,8,3,5,12,11]=>[11,12,5,3,8,9,6,10,7,4,1,2]
[2,1,10,7,12,6,9,8,4,11,3,5]=>[5,3,11,4,8,9,6,12,7,10,1,2]
[2,1,4,9,12,6,10,8,11,7,3,5]=>[5,3,7,11,8,10,6,12,9,4,1,2]
[2,1,4,7,8,6,12,10,9,5,11,3]=>[3,11,5,9,10,12,6,8,7,4,1,2]
[2,1,4,5,6,10,7,8,9,3,12,11]=>[11,12,3,9,8,7,10,6,5,4,1,2]
[2,1,10,5,6,12,7,8,9,11,3,4]=>[4,3,11,9,8,7,12,6,5,10,1,2]
[2,1,4,9,6,12,7,8,11,10,3,5]=>[5,3,10,11,8,7,12,6,9,4,1,2]
[2,1,4,5,8,12,7,11,9,10,3,6]=>[6,3,10,9,11,7,12,8,5,4,1,2]
[2,1,4,5,6,7,12,8,9,10,11,3]=>[3,11,10,9,8,12,7,6,5,4,1,2]
[2,4,3,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,3,4,2]
[2,4,3,1,6,5,8,7,10,12,11,9]=>[9,11,12,10,7,8,5,6,1,3,4,2]
[2,4,3,1,6,5,8,10,9,7,12,11]=>[11,12,7,9,10,8,5,6,1,3,4,2]
[2,4,3,1,6,5,10,12,9,11,7,8]=>[8,7,11,9,12,10,5,6,1,3,4,2]
[2,4,3,1,6,5,8,9,12,10,11,7]=>[7,11,10,12,9,8,5,6,1,3,4,2]
[2,4,3,1,6,8,7,5,10,9,12,11]=>[11,12,9,10,5,7,8,6,1,3,4,2]
[2,4,3,1,6,8,7,5,10,12,11,9]=>[9,11,12,10,5,7,8,6,1,3,4,2]
[2,4,3,1,8,10,7,9,5,6,12,11]=>[11,12,6,5,9,7,10,8,1,3,4,2]
[2,4,3,1,10,9,7,12,6,11,5,8]=>[8,5,11,6,12,7,9,10,1,3,4,2]
[2,4,3,1,8,9,7,12,10,6,11,5]=>[5,11,6,10,12,7,9,8,1,3,4,2]
[2,4,3,1,6,7,10,8,9,5,12,11]=>[11,12,5,9,8,10,7,6,1,3,4,2]
[2,4,3,1,10,7,12,8,9,11,5,6]=>[6,5,11,9,8,12,7,10,1,3,4,2]
[2,4,3,1,6,9,12,8,11,10,5,7]=>[7,5,10,11,8,12,9,6,1,3,4,2]
[2,4,3,1,6,7,8,12,9,10,11,5]=>[5,11,10,9,12,8,7,6,1,3,4,2]
[4,6,3,5,1,2,8,7,10,9,12,11]=>[11,12,9,10,7,8,2,1,5,3,6,4]
[4,6,3,5,1,2,8,7,10,12,11,9]=>[9,11,12,10,7,8,2,1,5,3,6,4]
[4,6,3,5,1,2,8,10,9,7,12,11]=>[11,12,7,9,10,8,2,1,5,3,6,4]
[4,6,3,5,1,2,10,12,9,11,7,8]=>[8,7,11,9,12,10,2,1,5,3,6,4]
[4,6,3,5,1,2,8,9,12,10,11,7]=>[7,11,10,12,9,8,2,1,5,3,6,4]
[6,5,3,8,2,7,1,4,10,9,12,11]=>[11,12,9,10,4,1,7,2,8,3,5,6]
[6,5,3,8,2,7,1,4,10,12,11,9]=>[9,11,12,10,4,1,7,2,8,3,5,6]
[8,5,3,7,2,10,4,9,1,6,12,11]=>[11,12,6,1,9,4,10,2,7,3,5,8]
[10,5,3,7,2,9,4,12,6,11,1,8]=>[8,1,11,6,12,4,9,2,7,3,5,10]
[8,5,3,7,2,9,4,12,10,6,11,1]=>[1,11,6,10,12,4,9,2,7,3,5,8]
[6,5,3,7,2,10,8,4,9,1,12,11]=>[11,12,1,9,4,8,10,2,7,3,5,6]
[10,5,3,8,2,7,12,4,9,11,1,6]=>[6,1,11,9,4,12,7,2,8,3,5,10]
[6,5,3,9,2,8,12,1,11,10,4,7]=>[7,4,10,11,1,12,8,2,9,3,5,6]
[6,5,3,7,2,8,12,9,1,10,11,4]=>[4,11,10,1,9,12,8,2,7,3,5,6]
[4,5,3,8,6,2,7,1,10,9,12,11]=>[11,12,9,10,1,7,2,6,8,3,5,4]
[4,5,3,8,6,2,7,1,10,12,11,9]=>[9,11,12,10,1,7,2,6,8,3,5,4]
[8,6,3,5,10,2,7,9,1,4,12,11]=>[11,12,4,1,9,7,2,10,5,3,6,8]
[10,6,3,5,9,2,7,12,4,11,1,8]=>[8,1,11,4,12,7,2,9,5,3,6,10]
[8,6,3,5,9,2,7,12,10,4,11,1]=>[1,11,4,10,12,7,2,9,5,3,6,8]
[4,7,3,6,10,1,9,8,2,5,12,11]=>[11,12,5,2,8,9,1,10,6,3,7,4]
[10,6,3,7,12,2,9,8,4,11,1,5]=>[5,1,11,4,8,9,2,12,7,3,6,10]
[4,9,3,6,12,1,10,8,11,7,2,5]=>[5,2,7,11,8,10,1,12,6,3,9,4]
[4,7,3,6,8,1,12,10,9,5,11,2]=>[2,11,5,9,10,12,1,8,6,3,7,4]
[4,5,3,6,10,7,1,8,9,2,12,11]=>[11,12,2,9,8,1,7,10,6,3,5,4]
[10,7,3,5,6,12,2,8,9,11,1,4]=>[4,1,11,9,8,2,12,6,5,3,7,10]
[4,9,3,7,6,12,1,8,11,10,2,5]=>[5,2,10,11,8,1,12,6,7,3,9,4]
[4,5,3,8,7,12,2,11,9,10,1,6]=>[6,1,10,9,11,2,12,7,8,3,5,4]
[4,5,3,6,7,12,8,2,9,10,11,1]=>[1,11,10,9,2,8,12,7,6,3,5,4]
[2,3,6,4,5,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,5,4,6,3,2]
[2,3,6,4,5,1,8,7,10,12,11,9]=>[9,11,12,10,7,8,1,5,4,6,3,2]
[2,3,6,4,5,1,8,10,9,7,12,11]=>[11,12,7,9,10,8,1,5,4,6,3,2]
[2,3,6,4,5,1,10,12,9,11,7,8]=>[8,7,11,9,12,10,1,5,4,6,3,2]
[2,3,6,4,5,1,8,9,12,10,11,7]=>[7,11,10,12,9,8,1,5,4,6,3,2]
[6,3,8,4,5,7,1,2,10,9,12,11]=>[11,12,9,10,2,1,7,5,4,8,3,6]
[6,3,8,4,5,7,1,2,10,12,11,9]=>[9,11,12,10,2,1,7,5,4,8,3,6]
[8,3,7,4,5,10,2,9,1,6,12,11]=>[11,12,6,1,9,2,10,5,4,7,3,8]
[10,3,7,4,5,9,2,12,6,11,1,8]=>[8,1,11,6,12,2,9,5,4,7,3,10]
[8,3,7,4,5,9,2,12,10,6,11,1]=>[1,11,6,10,12,2,9,5,4,7,3,8]
[6,3,7,4,5,10,8,2,9,1,12,11]=>[11,12,1,9,2,8,10,5,4,7,3,6]
[10,3,8,4,5,7,12,2,9,11,1,6]=>[6,1,11,9,2,12,7,5,4,8,3,10]
[6,3,9,4,5,8,12,1,11,10,2,7]=>[7,2,10,11,1,12,8,5,4,9,3,6]
[6,3,7,4,5,8,12,9,1,10,11,2]=>[2,11,10,1,9,12,8,5,4,7,3,6]
[2,5,8,4,7,6,1,3,10,9,12,11]=>[11,12,9,10,3,1,6,7,4,8,5,2]
[2,5,8,4,7,6,1,3,10,12,11,9]=>[9,11,12,10,3,1,6,7,4,8,5,2]
[8,5,10,4,7,6,2,9,1,3,12,11]=>[11,12,3,1,9,2,6,7,4,10,5,8]
[10,5,9,4,7,6,2,12,3,11,1,8]=>[8,1,11,3,12,2,6,7,4,9,5,10]
[8,5,9,4,7,6,2,12,10,3,11,1]=>[1,11,3,10,12,2,6,7,4,9,5,8]
[2,7,10,4,8,6,9,5,1,3,12,11]=>[11,12,3,1,5,9,6,8,4,10,7,2]
[10,7,12,4,8,6,9,5,2,11,1,3]=>[3,1,11,2,5,9,6,8,4,12,7,10]
[2,9,8,4,12,6,10,3,11,7,1,5]=>[5,1,7,11,3,10,6,12,4,8,9,2]
[2,7,8,4,12,6,9,10,1,3,11,5]=>[5,11,3,1,10,9,6,12,4,8,7,2]
[2,5,6,4,10,8,7,3,9,1,12,11]=>[11,12,1,9,3,7,8,10,4,6,5,2]
[10,5,6,4,12,8,7,3,9,11,1,2]=>[2,1,11,9,3,7,8,12,4,6,5,10]
[2,9,8,4,6,12,7,3,11,10,1,5]=>[5,1,10,11,3,7,12,6,4,8,9,2]
[2,5,8,4,12,9,7,11,6,10,3,1]=>[1,3,10,6,11,7,9,12,4,8,5,2]
[2,5,6,4,7,12,9,8,1,10,11,3]=>[3,11,10,1,8,9,12,7,4,6,5,2]
[2,3,4,8,5,6,7,1,10,9,12,11]=>[11,12,9,10,1,7,6,5,8,4,3,2]
[2,3,4,8,5,6,7,1,10,12,11,9]=>[9,11,12,10,1,7,6,5,8,4,3,2]
[8,3,4,10,5,6,7,9,1,2,12,11]=>[11,12,2,1,9,7,6,5,10,4,3,8]
[10,3,4,9,5,6,7,12,2,11,1,8]=>[8,1,11,2,12,7,6,5,9,4,3,10]
[8,3,4,9,5,6,7,12,10,2,11,1]=>[1,11,2,10,12,7,6,5,9,4,3,8]
[2,7,4,10,5,6,9,8,1,3,12,11]=>[11,12,3,1,8,9,6,5,10,4,7,2]
[10,7,4,12,5,6,9,8,2,11,1,3]=>[3,1,11,2,8,9,6,5,12,4,7,10]
[2,9,4,12,5,6,10,8,11,7,1,3]=>[3,1,7,11,8,10,6,5,12,4,9,2]
[2,7,4,8,5,6,12,10,9,3,11,1]=>[1,11,3,9,10,12,6,5,8,4,7,2]
[2,3,6,10,5,9,7,8,1,4,12,11]=>[11,12,4,1,8,7,9,5,10,6,3,2]
[10,3,6,12,5,9,7,8,2,11,1,4]=>[4,1,11,2,8,7,9,5,12,6,3,10]
[2,9,6,12,5,11,7,8,10,1,3,4]=>[4,3,1,10,8,7,11,5,12,6,9,2]
[2,3,8,12,5,10,7,11,9,6,1,4]=>[4,1,6,9,11,7,10,5,12,8,3,2]
[2,3,6,7,5,12,10,8,9,4,11,1]=>[1,11,4,9,8,10,12,5,7,6,3,2]
[2,3,4,5,10,6,7,8,9,1,12,11]=>[11,12,1,9,8,7,6,10,5,4,3,2]
[10,3,4,5,12,6,7,8,9,11,1,2]=>[2,1,11,9,8,7,6,12,5,4,3,10]
[2,9,4,5,12,6,7,8,11,10,1,3]=>[3,1,10,11,8,7,6,12,5,4,9,2]
[2,3,8,5,12,6,7,11,9,10,1,4]=>[4,1,10,9,11,7,6,12,5,8,3,2]
[2,3,4,7,12,6,11,8,9,10,1,5]=>[5,1,10,9,8,11,6,12,7,4,3,2]
[2,3,4,5,6,12,7,8,9,10,11,1]=>[1,11,10,9,8,7,12,6,5,4,3,2]
[2,1,4,3,6,5,8,7,10,11,12,9]=>[9,12,11,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,9,10,7,12,11]=>[11,12,7,10,9,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,9,11,12,7,8]=>[8,7,12,11,9,10,5,6,3,4,1,2]
[2,1,4,3,6,5,8,9,10,11,12,7]=>[7,12,11,10,9,8,5,6,3,4,1,2]
[2,1,4,3,6,7,8,5,10,9,12,11]=>[11,12,9,10,5,8,7,6,3,4,1,2]
[2,1,4,3,6,7,8,5,10,11,12,9]=>[9,12,11,10,5,8,7,6,3,4,1,2]
[2,1,4,3,8,7,9,10,5,6,12,11]=>[11,12,6,5,10,9,7,8,3,4,1,2]
[2,1,4,3,10,7,11,9,5,12,8,6]=>[6,8,12,5,9,11,7,10,3,4,1,2]
[2,1,4,3,8,7,9,10,11,12,5,6]=>[6,5,12,11,10,9,7,8,3,4,1,2]
[2,1,4,3,6,7,8,9,10,5,12,11]=>[11,12,5,10,9,8,7,6,3,4,1,2]
[2,1,4,3,10,7,8,9,11,12,5,6]=>[6,5,12,11,9,8,7,10,3,4,1,2]
[2,1,4,3,6,9,8,10,11,5,12,7]=>[7,12,5,11,10,8,9,6,3,4,1,2]
[2,1,4,3,6,7,8,9,10,11,12,5]=>[5,12,11,10,9,8,7,6,3,4,1,2]
[2,1,4,5,6,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,6,5,4,1,2]
[2,1,4,5,6,3,8,7,10,11,12,9]=>[9,12,11,10,7,8,3,6,5,4,1,2]
[2,1,4,5,6,3,8,9,10,7,12,11]=>[11,12,7,10,9,8,3,6,5,4,1,2]
[2,1,4,5,6,3,10,9,11,12,7,8]=>[8,7,12,11,9,10,3,6,5,4,1,2]
[2,1,4,5,6,3,8,9,10,11,12,7]=>[7,12,11,10,9,8,3,6,5,4,1,2]
[2,1,6,5,7,8,3,4,10,9,12,11]=>[11,12,9,10,4,3,8,7,5,6,1,2]
[2,1,6,5,7,8,3,4,10,11,12,9]=>[9,12,11,10,4,3,8,7,5,6,1,2]
[2,1,8,5,9,7,3,10,6,4,12,11]=>[11,12,4,6,10,3,7,9,5,8,1,2]
[2,1,10,5,11,7,3,9,6,12,8,4]=>[4,8,12,6,9,3,7,11,5,10,1,2]
[2,1,8,5,9,7,3,10,11,12,6,4]=>[4,6,12,11,10,3,7,9,5,8,1,2]
[2,1,6,5,7,8,9,10,3,4,12,11]=>[11,12,4,3,10,9,8,7,5,6,1,2]
[2,1,10,5,11,7,8,9,3,12,6,4]=>[4,6,12,3,9,8,7,11,5,10,1,2]
[2,1,6,5,9,10,8,12,11,4,7,3]=>[3,7,4,11,12,8,10,9,5,6,1,2]
[2,1,6,5,7,8,9,10,11,12,3,4]=>[4,3,12,11,10,9,8,7,5,6,1,2]
[2,1,4,5,6,7,8,3,10,9,12,11]=>[11,12,9,10,3,8,7,6,5,4,1,2]
[2,1,4,5,6,7,8,3,10,11,12,9]=>[9,12,11,10,3,8,7,6,5,4,1,2]
[2,1,8,5,6,7,9,10,3,4,12,11]=>[11,12,4,3,10,9,7,6,5,8,1,2]
[2,1,10,5,6,7,11,9,3,12,8,4]=>[4,8,12,3,9,11,7,6,5,10,1,2]
[2,1,8,5,6,7,9,10,11,12,3,4]=>[4,3,12,11,10,9,7,6,5,8,1,2]
[2,1,4,7,6,8,9,3,10,5,12,11]=>[11,12,5,10,3,9,8,6,7,4,1,2]
[2,1,10,7,6,8,9,3,11,12,5,4]=>[4,5,12,11,3,9,8,6,7,10,1,2]
[2,1,4,9,6,10,8,3,11,7,12,5]=>[5,12,7,11,3,8,10,6,9,4,1,2]
[2,1,4,7,6,8,9,10,11,3,12,5]=>[5,12,3,11,10,9,8,6,7,4,1,2]
[2,1,4,5,6,7,8,9,10,3,12,11]=>[11,12,3,10,9,8,7,6,5,4,1,2]
[2,1,10,5,6,7,8,9,11,12,3,4]=>[4,3,12,11,9,8,7,6,5,10,1,2]
[2,1,4,9,6,7,8,10,11,3,12,5]=>[5,12,3,11,10,8,7,6,9,4,1,2]
[2,1,4,5,8,7,9,10,3,11,12,6]=>[6,12,11,3,10,9,7,8,5,4,1,2]
[2,1,4,5,6,7,8,9,10,11,12,3]=>[3,12,11,10,9,8,7,6,5,4,1,2]
[2,3,4,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,4,3,2]
[2,3,4,1,6,5,8,7,10,11,12,9]=>[9,12,11,10,7,8,5,6,1,4,3,2]
[2,3,4,1,6,5,8,9,10,7,12,11]=>[11,12,7,10,9,8,5,6,1,4,3,2]
[2,3,4,1,6,5,10,9,11,12,7,8]=>[8,7,12,11,9,10,5,6,1,4,3,2]
[2,3,4,1,6,5,8,9,10,11,12,7]=>[7,12,11,10,9,8,5,6,1,4,3,2]
[2,3,4,1,6,7,8,5,10,9,12,11]=>[11,12,9,10,5,8,7,6,1,4,3,2]
[2,3,4,1,6,7,8,5,10,11,12,9]=>[9,12,11,10,5,8,7,6,1,4,3,2]
[2,3,4,1,8,7,9,10,5,6,12,11]=>[11,12,6,5,10,9,7,8,1,4,3,2]
[2,3,4,1,10,7,11,9,5,12,8,6]=>[6,8,12,5,9,11,7,10,1,4,3,2]
[2,3,4,1,8,7,9,10,11,12,5,6]=>[6,5,12,11,10,9,7,8,1,4,3,2]
[2,3,4,1,6,7,8,9,10,5,12,11]=>[11,12,5,10,9,8,7,6,1,4,3,2]
[2,3,4,1,10,7,8,9,11,12,5,6]=>[6,5,12,11,9,8,7,10,1,4,3,2]
[2,3,4,1,6,9,8,10,11,5,12,7]=>[7,12,5,11,10,8,9,6,1,4,3,2]
[2,3,4,1,6,7,8,9,10,11,12,5]=>[5,12,11,10,9,8,7,6,1,4,3,2]
[4,3,5,6,1,2,8,7,10,9,12,11]=>[11,12,9,10,7,8,2,1,6,5,3,4]
[4,3,5,6,1,2,8,7,10,11,12,9]=>[9,12,11,10,7,8,2,1,6,5,3,4]
[4,3,5,6,1,2,8,9,10,7,12,11]=>[11,12,7,10,9,8,2,1,6,5,3,4]
[4,3,5,6,1,2,10,9,11,12,7,8]=>[8,7,12,11,9,10,2,1,6,5,3,4]
[4,3,5,6,1,2,8,9,10,11,12,7]=>[7,12,11,10,9,8,2,1,6,5,3,4]
[6,3,7,5,1,8,4,2,10,9,12,11]=>[11,12,9,10,2,4,8,1,5,7,3,6]
[6,3,7,5,1,8,4,2,10,11,12,9]=>[9,12,11,10,2,4,8,1,5,7,3,6]
[8,3,9,5,1,7,4,10,6,2,12,11]=>[11,12,2,6,10,4,7,1,5,9,3,8]
[10,3,11,5,1,7,4,9,6,12,8,2]=>[2,8,12,6,9,4,7,1,5,11,3,10]
[8,3,9,5,1,7,4,10,11,12,6,2]=>[2,6,12,11,10,4,7,1,5,9,3,8]
[6,3,7,5,1,8,9,10,4,2,12,11]=>[11,12,2,4,10,9,8,1,5,7,3,6]
[10,3,11,5,1,7,8,9,4,12,6,2]=>[2,6,12,4,9,8,7,1,5,11,3,10]
[6,3,9,5,2,10,8,12,11,4,7,1]=>[1,7,4,11,12,8,10,2,5,9,3,6]
[6,3,7,5,1,8,9,10,11,12,4,2]=>[2,4,12,11,10,9,8,1,5,7,3,6]
[4,3,5,6,7,8,1,2,10,9,12,11]=>[11,12,9,10,2,1,8,7,6,5,3,4]
[4,3,5,6,7,8,1,2,10,11,12,9]=>[9,12,11,10,2,1,8,7,6,5,3,4]
[8,3,9,5,6,7,1,10,4,2,12,11]=>[11,12,2,4,10,1,7,6,5,9,3,8]
[10,3,11,5,6,7,1,9,4,12,8,2]=>[2,8,12,4,9,1,7,6,5,11,3,10]
[8,3,9,5,6,7,1,10,11,12,4,2]=>[2,4,12,11,10,1,7,6,5,9,3,8]
[4,3,7,8,6,10,9,2,5,1,12,11]=>[11,12,1,5,2,9,10,6,8,7,3,4]
[10,3,11,7,6,8,9,4,1,12,5,2]=>[2,5,12,1,4,9,8,6,7,11,3,10]
[4,3,9,10,6,12,8,2,11,7,5,1]=>[1,5,7,11,2,8,12,6,10,9,3,4]
[4,3,7,8,6,9,10,12,11,5,1,2]=>[2,1,5,11,12,10,9,6,8,7,3,4]
[4,3,5,6,7,8,9,10,1,2,12,11]=>[11,12,2,1,10,9,8,7,6,5,3,4]
[10,3,11,5,6,7,8,9,1,12,4,2]=>[2,4,12,1,9,8,7,6,5,11,3,10]
[4,3,9,10,6,7,8,12,11,2,5,1]=>[1,5,2,11,12,8,7,6,10,9,3,4]
[4,3,5,8,9,7,12,10,1,11,6,2]=>[2,6,11,1,10,12,7,9,8,5,3,4]
[4,3,5,6,7,8,9,10,11,12,1,2]=>[2,1,12,11,10,9,8,7,6,5,3,4]
[2,3,4,5,6,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,6,5,4,3,2]
[2,3,4,5,6,1,8,7,10,11,12,9]=>[9,12,11,10,7,8,1,6,5,4,3,2]
[2,3,4,5,6,1,8,9,10,7,12,11]=>[11,12,7,10,9,8,1,6,5,4,3,2]
[2,3,4,5,6,1,10,9,11,12,7,8]=>[8,7,12,11,9,10,1,6,5,4,3,2]
[2,3,4,5,6,1,8,9,10,11,12,7]=>[7,12,11,10,9,8,1,6,5,4,3,2]
[6,3,4,5,7,8,1,2,10,9,12,11]=>[11,12,9,10,2,1,8,7,5,4,3,6]
[6,3,4,5,7,8,1,2,10,11,12,9]=>[9,12,11,10,2,1,8,7,5,4,3,6]
[8,3,4,5,9,7,1,10,6,2,12,11]=>[11,12,2,6,10,1,7,9,5,4,3,8]
[10,3,4,5,11,7,1,9,6,12,8,2]=>[2,8,12,6,9,1,7,11,5,4,3,10]
[8,3,4,5,9,7,1,10,11,12,6,2]=>[2,6,12,11,10,1,7,9,5,4,3,8]
[6,3,4,5,7,8,9,10,1,2,12,11]=>[11,12,2,1,10,9,8,7,5,4,3,6]
[10,3,4,5,11,7,8,9,1,12,6,2]=>[2,6,12,1,9,8,7,11,5,4,3,10]
[6,3,4,5,9,10,8,12,11,2,7,1]=>[1,7,2,11,12,8,10,9,5,4,3,6]
[6,3,4,5,7,8,9,10,11,12,1,2]=>[2,1,12,11,10,9,8,7,5,4,3,6]
[2,5,4,6,7,1,8,3,10,9,12,11]=>[11,12,9,10,3,8,1,7,6,4,5,2]
[2,5,4,6,7,1,8,3,10,11,12,9]=>[9,12,11,10,3,8,1,7,6,4,5,2]
[8,5,4,6,7,1,9,10,3,2,12,11]=>[11,12,2,3,10,9,1,7,6,4,5,8]
[10,5,4,6,7,1,11,9,3,12,8,2]=>[2,8,12,3,9,11,1,7,6,4,5,10]
[8,5,4,6,7,1,9,10,11,12,3,2]=>[2,3,12,11,10,9,1,7,6,4,5,8]
[2,7,4,8,6,1,9,5,10,3,12,11]=>[11,12,3,10,5,9,1,6,8,4,7,2]
[10,7,4,8,6,1,9,5,11,12,3,2]=>[2,3,12,11,5,9,1,6,8,4,7,10]
[2,9,4,10,6,1,8,5,11,7,12,3]=>[3,12,7,11,5,8,1,6,10,4,9,2]
[2,7,4,8,6,1,9,10,11,5,12,3]=>[3,12,5,11,10,9,1,6,8,4,7,2]
[2,5,4,6,7,8,9,1,10,3,12,11]=>[11,12,3,10,1,9,8,7,6,4,5,2]
[10,5,4,6,7,8,9,1,11,12,3,2]=>[2,3,12,11,1,9,8,7,6,4,5,10]
[2,9,4,10,6,7,8,1,11,5,12,3]=>[3,12,5,11,1,8,7,6,10,4,9,2]
[2,5,4,8,9,7,11,10,3,6,12,1]=>[1,12,6,3,10,11,7,9,8,4,5,2]
[2,5,4,6,7,8,9,10,11,1,12,3]=>[3,12,1,11,10,9,8,7,6,4,5,2]
[2,3,4,5,6,7,8,1,10,9,12,11]=>[11,12,9,10,1,8,7,6,5,4,3,2]
[2,3,4,5,6,7,8,1,10,11,12,9]=>[9,12,11,10,1,8,7,6,5,4,3,2]
[8,3,4,5,6,7,9,10,1,2,12,11]=>[11,12,2,1,10,9,7,6,5,4,3,8]
[10,3,4,5,6,7,11,9,1,12,8,2]=>[2,8,12,1,9,11,7,6,5,4,3,10]
[8,3,4,5,6,7,9,10,11,12,1,2]=>[2,1,12,11,10,9,7,6,5,4,3,8]
[2,7,4,5,6,8,9,1,10,3,12,11]=>[11,12,3,10,1,9,8,6,5,4,7,2]
[10,7,4,5,6,8,9,1,11,12,3,2]=>[2,3,12,11,1,9,8,6,5,4,7,10]
[2,9,4,5,6,10,8,1,11,7,12,3]=>[3,12,7,11,1,8,10,6,5,4,9,2]
[2,7,4,5,6,8,9,10,11,1,12,3]=>[3,12,1,11,10,9,8,6,5,4,7,2]
[2,3,6,5,7,8,1,9,10,4,12,11]=>[11,12,4,10,9,1,8,7,5,6,3,2]
[10,3,6,5,7,8,1,9,11,12,4,2]=>[2,4,12,11,9,1,8,7,5,6,3,10]
[2,9,6,5,7,8,1,10,11,4,12,3]=>[3,12,4,11,10,1,8,7,5,6,9,2]
[2,3,8,5,9,7,1,10,6,11,12,4]=>[4,12,11,6,10,1,7,9,5,8,3,2]
[2,3,6,5,7,8,9,10,1,11,12,4]=>[4,12,11,1,10,9,8,7,5,6,3,2]
[2,3,4,5,6,7,8,9,10,1,12,11]=>[11,12,1,10,9,8,7,6,5,4,3,2]
[10,3,4,5,6,7,8,9,11,12,1,2]=>[2,1,12,11,9,8,7,6,5,4,3,10]
[2,9,4,5,6,7,8,10,11,1,12,3]=>[3,12,1,11,10,8,7,6,5,4,9,2]
[2,3,8,5,6,7,9,10,1,11,12,4]=>[4,12,11,1,10,9,7,6,5,8,3,2]
[2,3,4,7,6,8,9,1,10,11,12,5]=>[5,12,11,10,1,9,8,6,7,4,3,2]
[1,4,3,6,5,8,7,12,11,9,10,2]=>[2,10,9,11,12,7,8,5,6,3,4,1]
[1,4,3,6,5,10,9,7,8,12,11,2]=>[2,11,12,8,7,9,10,5,6,3,4,1]
[1,4,3,6,5,12,9,7,11,8,10,2]=>[2,10,8,11,7,9,12,5,6,3,4,1]
[1,4,3,6,5,12,11,10,7,8,9,2]=>[2,9,8,7,10,11,12,5,6,3,4,1]
[1,4,3,8,7,5,6,10,9,12,11,2]=>[2,11,12,9,10,6,5,7,8,3,4,1]
[1,4,3,8,7,5,6,12,11,9,10,2]=>[2,10,9,11,12,6,5,7,8,3,4,1]
[1,4,3,10,7,5,9,6,8,12,11,2]=>[2,11,12,8,6,9,5,7,10,3,4,1]
[1,4,3,12,7,5,9,6,11,8,10,2]=>[2,10,8,11,6,9,5,7,12,3,4,1]
[1,4,3,12,7,5,11,10,6,8,9,2]=>[2,9,8,6,10,11,5,7,12,3,4,1]
[1,4,3,10,9,8,5,6,7,12,11,2]=>[2,11,12,7,6,5,8,9,10,3,4,1]
[1,4,3,12,9,8,5,6,11,7,10,2]=>[2,10,7,11,6,5,8,9,12,3,4,1]
[1,4,3,12,11,8,5,10,6,7,9,2]=>[2,9,7,6,10,5,8,11,12,3,4,1]
[1,4,3,12,11,10,9,5,6,7,8,2]=>[2,8,7,6,5,9,10,11,12,3,4,1]
[1,6,5,3,4,8,7,10,9,12,11,2]=>[2,11,12,9,10,7,8,4,3,5,6,1]
[1,6,5,3,4,8,7,12,11,9,10,2]=>[2,10,9,11,12,7,8,4,3,5,6,1]
[1,6,5,3,4,10,9,7,8,12,11,2]=>[2,11,12,8,7,9,10,4,3,5,6,1]
[1,6,5,3,4,12,9,7,11,8,10,2]=>[2,10,8,11,7,9,12,4,3,5,6,1]
[1,6,5,3,4,12,11,10,7,8,9,2]=>[2,9,8,7,10,11,12,4,3,5,6,1]
[1,8,5,3,7,4,6,10,9,12,11,2]=>[2,11,12,9,10,6,4,7,3,5,8,1]
[1,8,5,3,7,4,6,12,11,9,10,2]=>[2,10,9,11,12,6,4,7,3,5,8,1]
[1,10,5,3,7,4,9,6,8,12,11,2]=>[2,11,12,8,6,9,4,7,3,5,10,1]
[1,12,5,3,7,4,9,6,11,8,10,2]=>[2,10,8,11,6,9,4,7,3,5,12,1]
[1,12,5,3,7,4,11,10,6,8,9,2]=>[2,9,8,6,10,11,4,7,3,5,12,1]
[1,10,5,3,9,8,4,6,7,12,11,2]=>[2,11,12,7,6,4,8,9,3,5,10,1]
[1,12,5,3,9,8,4,6,11,7,10,2]=>[2,10,7,11,6,4,8,9,3,5,12,1]
[1,12,5,3,11,8,4,10,6,7,9,2]=>[2,9,7,6,10,4,8,11,3,5,12,1]
[1,12,5,3,11,10,9,4,6,7,8,2]=>[2,8,7,6,4,9,10,11,3,5,12,1]
[1,8,7,6,3,4,5,10,9,12,11,2]=>[2,11,12,9,10,5,4,3,6,7,8,1]
[1,8,7,6,3,4,5,12,11,9,10,2]=>[2,10,9,11,12,5,4,3,6,7,8,1]
[1,10,7,6,3,4,9,5,8,12,11,2]=>[2,11,12,8,5,9,4,3,6,7,10,1]
[1,12,7,6,3,4,9,5,11,8,10,2]=>[2,10,8,11,5,9,4,3,6,7,12,1]
[1,12,7,6,3,4,11,10,5,8,9,2]=>[2,9,8,5,10,11,4,3,6,7,12,1]
[1,10,9,6,3,8,4,5,7,12,11,2]=>[2,11,12,7,5,4,8,3,6,9,10,1]
[1,12,9,6,3,8,4,5,11,7,10,2]=>[2,10,7,11,5,4,8,3,6,9,12,1]
[1,12,11,6,3,8,4,10,5,7,9,2]=>[2,9,7,5,10,4,8,3,6,11,12,1]
[1,12,11,6,3,10,9,4,5,7,8,2]=>[2,8,7,5,4,9,10,3,6,11,12,1]
[1,10,9,8,7,3,4,5,6,12,11,2]=>[2,11,12,6,5,4,3,7,8,9,10,1]
[1,12,9,8,7,3,4,5,11,6,10,2]=>[2,10,6,11,5,4,3,7,8,9,12,1]
[1,12,11,8,7,3,4,10,5,6,9,2]=>[2,9,6,5,10,4,3,7,8,11,12,1]
[1,12,11,10,7,3,9,4,5,6,8,2]=>[2,8,6,5,4,9,3,7,10,11,12,1]
[1,12,11,10,9,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,9,10,11,12,1]
[3,1,2,6,5,8,7,10,9,12,11,4]=>[4,11,12,9,10,7,8,5,6,2,1,3]
[3,1,2,6,5,8,7,12,11,9,10,4]=>[4,10,9,11,12,7,8,5,6,2,1,3]
[3,1,2,6,5,10,9,7,8,12,11,4]=>[4,11,12,8,7,9,10,5,6,2,1,3]
[3,1,2,6,5,12,9,7,11,8,10,4]=>[4,10,8,11,7,9,12,5,6,2,1,3]
[3,1,2,6,5,12,11,10,7,8,9,4]=>[4,9,8,7,10,11,12,5,6,2,1,3]
[3,1,2,8,7,5,6,10,9,12,11,4]=>[4,11,12,9,10,6,5,7,8,2,1,3]
[3,1,2,8,7,5,6,12,11,9,10,4]=>[4,10,9,11,12,6,5,7,8,2,1,3]
[3,1,2,10,7,5,9,6,8,12,11,4]=>[4,11,12,8,6,9,5,7,10,2,1,3]
[3,1,2,12,7,5,9,6,11,8,10,4]=>[4,10,8,11,6,9,5,7,12,2,1,3]
[3,1,2,12,7,5,11,10,6,8,9,4]=>[4,9,8,6,10,11,5,7,12,2,1,3]
[3,1,2,10,9,8,5,6,7,12,11,4]=>[4,11,12,7,6,5,8,9,10,2,1,3]
[3,1,2,12,9,8,5,6,11,7,10,4]=>[4,10,7,11,6,5,8,9,12,2,1,3]
[3,1,2,12,11,8,5,10,6,7,9,4]=>[4,9,7,6,10,5,8,11,12,2,1,3]
[3,1,2,12,11,10,9,5,6,7,8,4]=>[4,8,7,6,5,9,10,11,12,2,1,3]
[3,1,5,2,4,8,7,10,9,12,11,6]=>[6,11,12,9,10,7,8,4,2,5,1,3]
[3,1,5,2,4,8,7,12,11,9,10,6]=>[6,10,9,11,12,7,8,4,2,5,1,3]
[3,1,5,2,4,10,9,7,8,12,11,6]=>[6,11,12,8,7,9,10,4,2,5,1,3]
[3,1,5,2,4,12,9,7,11,8,10,6]=>[6,10,8,11,7,9,12,4,2,5,1,3]
[3,1,5,2,4,12,11,10,7,8,9,6]=>[6,9,8,7,10,11,12,4,2,5,1,3]
[3,1,5,2,7,4,6,10,9,12,11,8]=>[8,11,12,9,10,6,4,7,2,5,1,3]
[3,1,5,2,7,4,6,12,11,9,10,8]=>[8,10,9,11,12,6,4,7,2,5,1,3]
[3,1,5,2,7,4,9,6,8,12,11,10]=>[10,11,12,8,6,9,4,7,2,5,1,3]
[3,1,5,2,7,4,9,6,11,8,10,12]=>[12,10,8,11,6,9,4,7,2,5,1,3]
[3,1,5,2,7,4,11,10,6,8,9,12]=>[12,9,8,6,10,11,4,7,2,5,1,3]
[3,1,5,2,9,8,4,6,7,12,11,10]=>[10,11,12,7,6,4,8,9,2,5,1,3]
[3,1,5,2,9,8,4,6,11,7,10,12]=>[12,10,7,11,6,4,8,9,2,5,1,3]
[3,1,5,2,11,8,4,10,6,7,9,12]=>[12,9,7,6,10,4,8,11,2,5,1,3]
[3,1,5,2,11,10,9,4,6,7,8,12]=>[12,8,7,6,4,9,10,11,2,5,1,3]
[3,1,7,6,2,4,5,10,9,12,11,8]=>[8,11,12,9,10,5,4,2,6,7,1,3]
[3,1,7,6,2,4,5,12,11,9,10,8]=>[8,10,9,11,12,5,4,2,6,7,1,3]
[3,1,7,6,2,4,9,5,8,12,11,10]=>[10,11,12,8,5,9,4,2,6,7,1,3]
[3,1,7,6,2,4,9,5,11,8,10,12]=>[12,10,8,11,5,9,4,2,6,7,1,3]
[3,1,7,6,2,4,11,10,5,8,9,12]=>[12,9,8,5,10,11,4,2,6,7,1,3]
[3,1,9,6,2,8,4,5,7,12,11,10]=>[10,11,12,7,5,4,8,2,6,9,1,3]
[3,1,9,6,2,8,4,5,11,7,10,12]=>[12,10,7,11,5,4,8,2,6,9,1,3]
[3,1,11,6,2,8,4,10,5,7,9,12]=>[12,9,7,5,10,4,8,2,6,11,1,3]
[3,1,11,6,2,10,9,4,5,7,8,12]=>[12,8,7,5,4,9,10,2,6,11,1,3]
[3,1,9,8,7,2,4,5,6,12,11,10]=>[10,11,12,6,5,4,2,7,8,9,1,3]
[3,1,9,8,7,2,4,5,11,6,10,12]=>[12,10,6,11,5,4,2,7,8,9,1,3]
[3,1,11,8,7,2,4,10,5,6,9,12]=>[12,9,6,5,10,4,2,7,8,11,1,3]
[3,1,11,10,7,2,9,4,5,6,8,12]=>[12,8,6,5,4,9,2,7,10,11,1,3]
[3,1,11,10,9,8,2,4,5,6,7,12]=>[12,7,6,5,4,2,8,9,10,11,1,3]
[5,4,1,2,3,8,7,10,9,12,11,6]=>[6,11,12,9,10,7,8,3,2,1,4,5]
[5,4,1,2,3,8,7,12,11,9,10,6]=>[6,10,9,11,12,7,8,3,2,1,4,5]
[5,4,1,2,3,10,9,7,8,12,11,6]=>[6,11,12,8,7,9,10,3,2,1,4,5]
[5,4,1,2,3,12,9,7,11,8,10,6]=>[6,10,8,11,7,9,12,3,2,1,4,5]
[5,4,1,2,3,12,11,10,7,8,9,6]=>[6,9,8,7,10,11,12,3,2,1,4,5]
[5,4,1,2,7,3,6,10,9,12,11,8]=>[8,11,12,9,10,6,3,7,2,1,4,5]
[5,4,1,2,7,3,6,12,11,9,10,8]=>[8,10,9,11,12,6,3,7,2,1,4,5]
[5,4,1,2,7,3,9,6,8,12,11,10]=>[10,11,12,8,6,9,3,7,2,1,4,5]
[5,4,1,2,7,3,9,6,11,8,10,12]=>[12,10,8,11,6,9,3,7,2,1,4,5]
[5,4,1,2,7,3,11,10,6,8,9,12]=>[12,9,8,6,10,11,3,7,2,1,4,5]
[5,4,1,2,9,8,3,6,7,12,11,10]=>[10,11,12,7,6,3,8,9,2,1,4,5]
[5,4,1,2,9,8,3,6,11,7,10,12]=>[12,10,7,11,6,3,8,9,2,1,4,5]
[5,4,1,2,11,8,3,10,6,7,9,12]=>[12,9,7,6,10,3,8,11,2,1,4,5]
[5,4,1,2,11,10,9,3,6,7,8,12]=>[12,8,7,6,3,9,10,11,2,1,4,5]
[7,4,1,6,2,3,5,10,9,12,11,8]=>[8,11,12,9,10,5,3,2,6,1,4,7]
[7,4,1,6,2,3,5,12,11,9,10,8]=>[8,10,9,11,12,5,3,2,6,1,4,7]
[7,4,1,6,2,3,9,5,8,12,11,10]=>[10,11,12,8,5,9,3,2,6,1,4,7]
[7,4,1,6,2,3,9,5,11,8,10,12]=>[12,10,8,11,5,9,3,2,6,1,4,7]
[7,4,1,6,2,3,11,10,5,8,9,12]=>[12,9,8,5,10,11,3,2,6,1,4,7]
[9,4,1,6,2,8,3,5,7,12,11,10]=>[10,11,12,7,5,3,8,2,6,1,4,9]
[9,4,1,6,2,8,3,5,11,7,10,12]=>[12,10,7,11,5,3,8,2,6,1,4,9]
[11,4,1,6,2,8,3,10,5,7,9,12]=>[12,9,7,5,10,3,8,2,6,1,4,11]
[11,4,1,6,2,10,9,3,5,7,8,12]=>[12,8,7,5,3,9,10,2,6,1,4,11]
[9,4,1,8,7,2,3,5,6,12,11,10]=>[10,11,12,6,5,3,2,7,8,1,4,9]
[9,4,1,8,7,2,3,5,11,6,10,12]=>[12,10,6,11,5,3,2,7,8,1,4,9]
[11,4,1,8,7,2,3,10,5,6,9,12]=>[12,9,6,5,10,3,2,7,8,1,4,11]
[11,4,1,10,7,2,9,3,5,6,8,12]=>[12,8,6,5,3,9,2,7,10,1,4,11]
[11,4,1,10,9,8,2,3,5,6,7,12]=>[12,7,6,5,3,2,8,9,10,1,4,11]
[7,6,5,1,2,3,4,10,9,12,11,8]=>[8,11,12,9,10,4,3,2,1,5,6,7]
[7,6,5,1,2,3,4,12,11,9,10,8]=>[8,10,9,11,12,4,3,2,1,5,6,7]
[7,6,5,1,2,3,9,4,8,12,11,10]=>[10,11,12,8,4,9,3,2,1,5,6,7]
[7,6,5,1,2,3,9,4,11,8,10,12]=>[12,10,8,11,4,9,3,2,1,5,6,7]
[7,6,5,1,2,3,11,10,4,8,9,12]=>[12,9,8,4,10,11,3,2,1,5,6,7]
[9,6,5,1,2,8,3,4,7,12,11,10]=>[10,11,12,7,4,3,8,2,1,5,6,9]
[9,6,5,1,2,8,3,4,11,7,10,12]=>[12,10,7,11,4,3,8,2,1,5,6,9]
[11,6,5,1,2,8,3,10,4,7,9,12]=>[12,9,7,4,10,3,8,2,1,5,6,11]
[11,6,5,1,2,10,9,3,4,7,8,12]=>[12,8,7,4,3,9,10,2,1,5,6,11]
[9,8,5,1,7,2,3,4,6,12,11,10]=>[10,11,12,6,4,3,2,7,1,5,8,9]
[9,8,5,1,7,2,3,4,11,6,10,12]=>[12,10,6,11,4,3,2,7,1,5,8,9]
[11,8,5,1,7,2,3,10,4,6,9,12]=>[12,9,6,4,10,3,2,7,1,5,8,11]
[11,10,5,1,7,2,9,3,4,6,8,12]=>[12,8,6,4,3,9,2,7,1,5,10,11]
[11,10,5,1,9,8,2,3,4,6,7,12]=>[12,7,6,4,3,2,8,9,1,5,10,11]
[9,8,7,6,1,2,3,4,5,12,11,10]=>[10,11,12,5,4,3,2,1,6,7,8,9]
[9,8,7,6,1,2,3,4,11,5,10,12]=>[12,10,5,11,4,3,2,1,6,7,8,9]
[11,8,7,6,1,2,3,10,4,5,9,12]=>[12,9,5,4,10,3,2,1,6,7,8,11]
[11,10,7,6,1,2,9,3,4,5,8,12]=>[12,8,5,4,3,9,2,1,6,7,10,11]
[11,10,9,6,1,8,2,3,4,5,7,12]=>[12,7,5,4,3,2,8,1,6,9,10,11]
[11,10,9,8,7,1,2,3,4,5,6,12]=>[12,6,5,4,3,2,1,7,8,9,10,11]
[12,10,11,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,11,10,12]
[10,11,12,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,12,11,10]
[12,9,10,11,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,11,10,9,12]
[11,12,8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8,12,11]
[12,10,11,7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7,11,10,12]
[12,10,11,8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8,11,10,12]
[12,11,9,10,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,10,9,11,12]
[6,8,7,5,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,5,7,8,6]
[5,7,6,9,8,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,8,9,6,7,5]
[4,6,5,8,10,9,7,3,11,2,12,1]=>[1,12,2,11,3,7,9,10,8,5,6,4]
[5,7,6,4,8,10,9,3,11,2,12,1]=>[1,12,2,11,3,9,10,8,4,6,7,5]
[4,6,5,8,7,10,9,3,11,2,12,1]=>[1,12,2,11,3,9,10,7,8,5,6,4]
[3,5,4,8,10,9,7,11,6,2,12,1]=>[1,12,2,6,11,7,9,10,8,4,5,3]
[3,5,4,7,9,8,11,10,6,2,12,1]=>[1,12,2,6,10,11,8,9,7,4,5,3]
[4,6,5,3,7,9,11,10,8,2,12,1]=>[1,12,2,8,10,11,9,7,3,5,6,4]
[3,5,4,7,6,9,11,10,8,2,12,1]=>[1,12,2,8,10,11,9,6,7,4,5,3]
[5,7,6,4,8,3,9,11,10,2,12,1]=>[1,12,2,10,11,9,3,8,4,6,7,5]
[4,6,5,8,7,3,9,11,10,2,12,1]=>[1,12,2,10,11,9,3,7,8,5,6,4]
[3,5,4,7,9,8,6,11,10,2,12,1]=>[1,12,2,10,11,6,8,9,7,4,5,3]
[4,6,5,3,7,9,8,11,10,2,12,1]=>[1,12,2,10,11,8,9,7,3,5,6,4]
[3,5,4,7,6,9,8,11,10,2,12,1]=>[1,12,2,10,11,8,9,6,7,4,5,3]
[2,4,3,8,10,9,7,11,6,12,5,1]=>[1,5,12,6,11,7,9,10,8,3,4,2]
[2,4,3,7,9,8,11,10,6,12,5,1]=>[1,5,12,6,10,11,8,9,7,3,4,2]
[3,2,5,7,6,9,11,10,8,4,12,1]=>[1,12,4,8,10,11,9,6,7,5,2,3]
[2,4,3,7,9,8,6,10,12,11,5,1]=>[1,5,11,12,10,6,8,9,7,3,4,2]
[2,4,3,6,8,7,10,9,12,11,5,1]=>[1,5,11,12,9,10,7,8,6,3,4,2]
[3,5,4,2,6,9,11,10,8,12,7,1]=>[1,7,12,8,10,11,9,6,2,4,5,3]
[3,5,4,2,6,8,10,9,12,11,7,1]=>[1,7,11,12,9,10,8,6,2,4,5,3]
[2,4,3,6,5,9,11,10,8,12,7,1]=>[1,7,12,8,10,11,9,5,6,3,4,2]
[2,4,3,6,5,8,10,9,12,11,7,1]=>[1,7,11,12,9,10,8,5,6,3,4,2]
[4,6,5,3,7,2,8,10,12,11,9,1]=>[1,9,11,12,10,8,2,7,3,5,6,4]
[3,5,4,7,6,2,8,10,12,11,9,1]=>[1,9,11,12,10,8,2,6,7,4,5,3]
[2,4,3,6,8,7,5,10,12,11,9,1]=>[1,9,11,12,10,5,7,8,6,3,4,2]
[3,5,4,2,6,8,7,10,12,11,9,1]=>[1,9,11,12,10,7,8,6,2,4,5,3]
[2,4,3,6,5,8,7,10,12,11,9,1]=>[1,9,11,12,10,7,8,5,6,3,4,2]
[5,7,6,4,8,3,9,2,10,12,11,1]=>[1,11,12,10,2,9,3,8,4,6,7,5]
[4,6,5,8,7,3,9,2,10,12,11,1]=>[1,11,12,10,2,9,3,7,8,5,6,4]
[3,5,4,7,9,8,6,2,10,12,11,1]=>[1,11,12,10,2,6,8,9,7,4,5,3]
[4,6,5,3,7,9,8,2,10,12,11,1]=>[1,11,12,10,2,8,9,7,3,5,6,4]
[3,5,4,7,6,9,8,2,10,12,11,1]=>[1,11,12,10,2,8,9,6,7,4,5,3]
[2,4,3,7,9,8,6,10,5,12,11,1]=>[1,11,12,5,10,6,8,9,7,3,4,2]
[2,4,3,6,8,7,10,9,5,12,11,1]=>[1,11,12,5,9,10,7,8,6,3,4,2]
[3,5,4,2,6,8,10,9,7,12,11,1]=>[1,11,12,7,9,10,8,6,2,4,5,3]
[2,4,3,6,5,8,10,9,7,12,11,1]=>[1,11,12,7,9,10,8,5,6,3,4,2]
[4,6,5,3,7,2,8,10,9,12,11,1]=>[1,11,12,9,10,8,2,7,3,5,6,4]
[3,5,4,7,6,2,8,10,9,12,11,1]=>[1,11,12,9,10,8,2,6,7,4,5,3]
[2,4,3,6,8,7,5,10,9,12,11,1]=>[1,11,12,9,10,5,7,8,6,3,4,2]
[3,5,4,2,6,8,7,10,9,12,11,1]=>[1,11,12,9,10,7,8,6,2,4,5,3]
[2,4,3,6,5,8,7,10,9,12,11,1]=>[1,11,12,9,10,7,8,5,6,3,4,2]
[2,1,7,9,8,6,10,5,11,4,12,3]=>[3,12,4,11,5,10,6,8,9,7,1,2]
[2,1,6,8,7,10,9,5,11,4,12,3]=>[3,12,4,11,5,9,10,7,8,6,1,2]
[2,1,5,7,6,9,11,10,8,4,12,3]=>[3,12,4,8,10,11,9,6,7,5,1,2]
[2,1,6,8,7,5,9,11,10,4,12,3]=>[3,12,4,10,11,9,5,7,8,6,1,2]
[2,1,5,7,6,9,8,11,10,4,12,3]=>[3,12,4,10,11,8,9,6,7,5,1,2]
[2,1,4,6,5,9,11,10,8,12,7,3]=>[3,7,12,8,10,11,9,5,6,4,1,2]
[2,1,4,6,5,8,10,9,12,11,7,3]=>[3,7,11,12,9,10,8,5,6,4,1,2]
[2,1,5,7,6,4,8,10,12,11,9,3]=>[3,9,11,12,10,8,4,6,7,5,1,2]
[2,1,4,6,5,8,7,10,12,11,9,3]=>[3,9,11,12,10,7,8,5,6,4,1,2]
[2,1,6,8,7,5,9,4,10,12,11,3]=>[3,11,12,10,4,9,5,7,8,6,1,2]
[2,1,5,7,6,9,8,4,10,12,11,3]=>[3,11,12,10,4,8,9,6,7,5,1,2]
[2,1,4,6,5,8,10,9,7,12,11,3]=>[3,11,12,7,9,10,8,5,6,4,1,2]
[2,1,5,7,6,4,8,10,9,12,11,3]=>[3,11,12,9,10,8,4,6,7,5,1,2]
[2,1,4,6,5,8,7,10,9,12,11,3]=>[3,11,12,9,10,7,8,5,6,4,1,2]
[3,2,7,9,8,6,10,5,11,4,1,12]=>[12,1,4,11,5,10,6,8,9,7,2,3]
[3,2,6,8,7,10,9,5,11,4,1,12]=>[12,1,4,11,5,9,10,7,8,6,2,3]
[2,4,3,1,6,8,7,10,12,11,9,5]=>[5,9,11,12,10,7,8,6,1,3,4,2]
[3,2,6,8,7,5,9,11,10,4,1,12]=>[12,1,4,10,11,9,5,7,8,6,2,3]
[3,2,5,7,6,9,8,11,10,4,1,12]=>[12,1,4,10,11,8,9,6,7,5,2,3]
[2,1,6,8,7,5,9,4,10,3,12,11]=>[11,12,3,10,4,9,5,7,8,6,1,2]
[2,1,5,7,6,9,8,4,10,3,12,11]=>[11,12,3,10,4,8,9,6,7,5,1,2]
[2,1,4,3,6,8,7,10,12,11,9,5]=>[5,9,11,12,10,7,8,6,3,4,1,2]
[2,1,5,7,6,4,8,10,9,3,12,11]=>[11,12,3,9,10,8,4,6,7,5,1,2]
[2,1,4,6,5,8,7,10,9,3,12,11]=>[11,12,3,9,10,7,8,5,6,4,1,2]
[4,3,7,9,8,6,10,5,2,11,1,12]=>[12,1,11,2,5,10,6,8,9,7,3,4]
[4,3,6,8,7,10,9,5,2,11,1,12]=>[12,1,11,2,5,9,10,7,8,6,3,4]
[3,2,6,8,7,5,9,4,11,10,1,12]=>[12,1,10,11,4,9,5,7,8,6,2,3]
[3,2,5,7,6,9,8,4,11,10,1,12]=>[12,1,10,11,4,8,9,6,7,5,2,3]
[2,1,4,6,5,3,9,11,10,8,12,7]=>[7,12,8,10,11,9,3,5,6,4,1,2]
[2,1,4,6,5,3,8,10,9,12,11,7]=>[7,11,12,9,10,8,3,5,6,4,1,2]
[3,2,6,8,7,5,9,4,1,10,12,11]=>[11,12,10,1,4,9,5,7,8,6,2,3]
[3,2,5,7,6,9,8,4,1,10,12,11]=>[11,12,10,1,4,8,9,6,7,5,2,3]
[2,1,5,7,6,4,8,3,10,9,12,11]=>[11,12,9,10,3,8,4,6,7,5,1,2]
[2,1,4,6,5,8,7,3,10,9,12,11]=>[11,12,9,10,3,7,8,5,6,4,1,2]
[5,4,7,9,8,6,3,10,2,11,1,12]=>[12,1,11,2,10,3,6,8,9,7,4,5]
[4,3,6,8,7,5,10,9,2,11,1,12]=>[12,1,11,2,9,10,5,7,8,6,3,4]
[3,2,5,7,6,4,9,11,10,8,1,12]=>[12,1,8,10,11,9,4,6,7,5,2,3]
[4,3,6,8,7,5,2,9,11,10,1,12]=>[12,1,10,11,9,2,5,7,8,6,3,4]
[3,2,5,7,6,4,9,8,11,10,1,12]=>[12,1,10,11,8,9,4,6,7,5,2,3]
[2,1,5,7,6,4,8,3,10,12,11,9]=>[9,11,12,10,3,8,4,6,7,5,1,2]
[2,1,4,6,5,8,7,3,10,12,11,9]=>[9,11,12,10,3,7,8,5,6,4,1,2]
[3,2,5,7,6,4,1,8,10,12,11,9]=>[9,11,12,10,8,1,4,6,7,5,2,3]
[4,3,6,8,7,5,2,9,1,10,12,11]=>[11,12,10,1,9,2,5,7,8,6,3,4]
[3,2,5,7,6,4,9,8,1,10,12,11]=>[11,12,10,1,8,9,4,6,7,5,2,3]
[3,2,5,7,6,4,1,8,10,9,12,11]=>[11,12,9,10,8,1,4,6,7,5,2,3]
[6,5,8,7,4,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,4,7,8,5,6]
[5,4,7,6,9,8,3,10,2,11,1,12]=>[12,1,11,2,10,3,8,9,6,7,4,5]
[3,5,4,8,10,9,7,6,2,11,1,12]=>[12,1,11,2,6,7,9,10,8,4,5,3]
[5,4,7,6,3,8,10,9,2,11,1,12]=>[12,1,11,2,9,10,8,3,6,7,4,5]
[4,3,6,5,8,7,10,9,2,11,1,12]=>[12,1,11,2,9,10,7,8,5,6,3,4]
[2,4,3,8,10,9,7,11,6,5,1,12]=>[12,1,5,6,11,7,9,10,8,3,4,2]
[2,4,3,7,9,8,11,10,6,5,1,12]=>[12,1,5,6,10,11,8,9,7,3,4,2]
[3,5,4,2,6,9,11,10,8,7,1,12]=>[12,1,7,8,10,11,9,6,2,4,5,3]
[2,4,3,6,5,9,11,10,8,7,1,12]=>[12,1,7,8,10,11,9,5,6,3,4,2]
[5,4,7,6,3,8,2,9,11,10,1,12]=>[12,1,10,11,9,2,8,3,6,7,4,5]
[4,3,6,5,8,7,2,9,11,10,1,12]=>[12,1,10,11,9,2,7,8,5,6,3,4]
[2,4,3,7,9,8,6,5,11,10,1,12]=>[12,1,10,11,5,6,8,9,7,3,4,2]
[4,3,6,5,2,7,9,8,11,10,1,12]=>[12,1,10,11,8,9,7,2,5,6,3,4]
[1,3,2,8,10,9,7,11,6,12,5,4]=>[4,5,12,6,11,7,9,10,8,2,3,1]
[1,3,2,7,9,8,11,10,6,12,5,4]=>[4,5,12,6,10,11,8,9,7,2,3,1]
[2,1,4,6,5,9,11,10,8,7,3,12]=>[12,3,7,8,10,11,9,5,6,4,1,2]
[1,3,2,7,9,8,6,10,12,11,5,4]=>[4,5,11,12,10,6,8,9,7,2,3,1]
[1,3,2,6,8,7,10,9,12,11,5,4]=>[4,5,11,12,9,10,7,8,6,2,3,1]
[2,4,3,1,5,9,11,10,8,12,7,6]=>[6,7,12,8,10,11,9,5,1,3,4,2]
[2,4,3,1,5,8,10,9,12,11,7,6]=>[6,7,11,12,9,10,8,5,1,3,4,2]
[1,3,2,5,4,9,11,10,8,12,7,6]=>[6,7,12,8,10,11,9,4,5,2,3,1]
[1,3,2,5,4,8,10,9,12,11,7,6]=>[6,7,11,12,9,10,8,4,5,2,3,1]
[3,5,4,2,6,1,7,10,12,11,9,8]=>[8,9,11,12,10,7,1,6,2,4,5,3]
[2,4,3,6,5,1,7,10,12,11,9,8]=>[8,9,11,12,10,7,1,5,6,3,4,2]
[1,3,2,6,8,7,5,4,10,12,11,9]=>[9,11,12,10,4,5,7,8,6,2,3,1]
[2,4,3,1,5,7,6,10,12,11,9,8]=>[8,9,11,12,10,6,7,5,1,3,4,2]
[1,3,2,5,4,7,6,10,12,11,9,8]=>[8,9,11,12,10,6,7,4,5,2,3,1]
[5,4,7,6,3,8,2,9,1,10,12,11]=>[11,12,10,1,9,2,8,3,6,7,4,5]
[4,3,6,5,8,7,2,9,1,10,12,11]=>[11,12,10,1,9,2,7,8,5,6,3,4]
[2,4,3,7,9,8,6,5,1,10,12,11]=>[11,12,10,1,5,6,8,9,7,3,4,2]
[4,3,6,5,2,7,9,8,1,10,12,11]=>[11,12,10,1,8,9,7,2,5,6,3,4]
[3,2,5,4,7,6,9,8,1,10,12,11]=>[11,12,10,1,8,9,6,7,4,5,2,3]
[1,3,2,7,9,8,6,10,5,4,12,11]=>[11,12,4,5,10,6,8,9,7,2,3,1]
[1,3,2,6,8,7,10,9,5,4,12,11]=>[11,12,4,5,9,10,7,8,6,2,3,1]
[2,4,3,1,5,8,10,9,7,6,12,11]=>[11,12,6,7,9,10,8,5,1,3,4,2]
[1,3,2,5,4,8,10,9,7,6,12,11]=>[11,12,6,7,9,10,8,4,5,2,3,1]
[4,3,6,5,2,7,1,8,10,9,12,11]=>[11,12,9,10,8,1,7,2,5,6,3,4]
[3,2,5,4,7,6,1,8,10,9,12,11]=>[11,12,9,10,8,1,6,7,4,5,2,3]
[1,3,2,6,8,7,5,4,10,9,12,11]=>[11,12,9,10,4,5,7,8,6,2,3,1]
[3,2,5,4,1,6,8,7,10,9,12,11]=>[11,12,9,10,7,8,6,1,4,5,2,3]
[12,2,3,4,5,6,7,8,9,10,1,11]=>[11,1,10,9,8,7,6,5,4,3,2,12]
[3,12,1,4,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,4,1,12,3]
[2,1,4,3,6,5,8,7,12,10,11,9]=>[9,11,10,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,8,9,7,12,11]=>[11,12,7,9,8,10,5,6,3,4,1,2]
[2,1,4,3,6,5,12,10,11,8,9,7]=>[7,9,8,11,10,12,5,6,3,4,1,2]
[2,1,4,3,6,5,12,9,11,8,10,7]=>[7,10,8,11,9,12,5,6,3,4,1,2]
[2,1,4,3,8,6,7,5,10,9,12,11]=>[11,12,9,10,5,7,6,8,3,4,1,2]
[2,1,4,3,8,6,7,5,12,10,11,9]=>[9,11,10,12,5,7,6,8,3,4,1,2]
[2,1,4,3,10,8,9,6,7,5,12,11]=>[11,12,5,7,6,9,8,10,3,4,1,2]
[2,1,4,3,12,10,11,8,9,6,7,5]=>[5,7,6,9,8,11,10,12,3,4,1,2]
[2,1,4,3,12,9,11,8,10,6,7,5]=>[5,7,6,10,8,11,9,12,3,4,1,2]
[2,1,4,3,10,7,9,6,8,5,12,11]=>[11,12,5,8,6,9,7,10,3,4,1,2]
[2,1,4,3,12,10,11,7,9,6,8,5]=>[5,8,6,9,7,11,10,12,3,4,1,2]
[2,1,4,3,12,9,11,7,10,6,8,5]=>[5,8,6,10,7,11,9,12,3,4,1,2]
[2,1,4,3,12,8,11,7,10,6,9,5]=>[5,9,6,10,7,11,8,12,3,4,1,2]
[2,1,6,4,5,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,5,4,6,1,2]
[2,1,6,4,5,3,8,7,12,10,11,9]=>[9,11,10,12,7,8,3,5,4,6,1,2]
[2,1,6,4,5,3,10,8,9,7,12,11]=>[11,12,7,9,8,10,3,5,4,6,1,2]
[2,1,6,4,5,3,12,10,11,8,9,7]=>[7,9,8,11,10,12,3,5,4,6,1,2]
[2,1,6,4,5,3,12,9,11,8,10,7]=>[7,10,8,11,9,12,3,5,4,6,1,2]
[2,1,8,6,7,4,5,3,10,9,12,11]=>[11,12,9,10,3,5,4,7,6,8,1,2]
[2,1,8,6,7,4,5,3,12,10,11,9]=>[9,11,10,12,3,5,4,7,6,8,1,2]
[2,1,10,8,9,6,7,4,5,3,12,11]=>[11,12,3,5,4,7,6,9,8,10,1,2]
[2,1,12,10,11,8,9,6,7,4,5,3]=>[3,5,4,7,6,9,8,11,10,12,1,2]
[2,1,12,9,11,8,10,6,7,4,5,3]=>[3,5,4,7,6,10,8,11,9,12,1,2]
[2,1,10,7,9,6,8,4,5,3,12,11]=>[11,12,3,5,4,8,6,9,7,10,1,2]
[2,1,12,10,11,7,9,6,8,4,5,3]=>[3,5,4,8,6,9,7,11,10,12,1,2]
[2,1,12,9,11,7,10,6,8,4,5,3]=>[3,5,4,8,6,10,7,11,9,12,1,2]
[2,1,12,8,11,7,10,6,9,4,5,3]=>[3,5,4,9,6,10,7,11,8,12,1,2]
[2,1,8,5,7,4,6,3,10,9,12,11]=>[11,12,9,10,3,6,4,7,5,8,1,2]
[2,1,8,5,7,4,6,3,12,10,11,9]=>[9,11,10,12,3,6,4,7,5,8,1,2]
[2,1,10,8,9,5,7,4,6,3,12,11]=>[11,12,3,6,4,7,5,9,8,10,1,2]
[2,1,12,10,11,8,9,5,7,4,6,3]=>[3,6,4,7,5,9,8,11,10,12,1,2]
[2,1,12,9,11,8,10,5,7,4,6,3]=>[3,6,4,7,5,10,8,11,9,12,1,2]
[2,1,10,7,9,5,8,4,6,3,12,11]=>[11,12,3,6,4,8,5,9,7,10,1,2]
[2,1,12,10,11,7,9,5,8,4,6,3]=>[3,6,4,8,5,9,7,11,10,12,1,2]
[2,1,12,9,11,7,10,5,8,4,6,3]=>[3,6,4,8,5,10,7,11,9,12,1,2]
[2,1,12,8,11,7,10,5,9,4,6,3]=>[3,6,4,9,5,10,7,11,8,12,1,2]
[2,1,10,6,9,5,8,4,7,3,12,11]=>[11,12,3,7,4,8,5,9,6,10,1,2]
[2,1,12,10,11,6,9,5,8,4,7,3]=>[3,7,4,8,5,9,6,11,10,12,1,2]
[2,1,12,9,11,6,10,5,8,4,7,3]=>[3,7,4,8,5,10,6,11,9,12,1,2]
[2,1,12,8,11,6,10,5,9,4,7,3]=>[3,7,4,9,5,10,6,11,8,12,1,2]
[2,1,12,7,11,6,10,5,9,4,8,3]=>[3,8,4,9,5,10,6,11,7,12,1,2]
[4,2,3,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,3,2,4]
[4,2,3,1,6,5,8,7,12,10,11,9]=>[9,11,10,12,7,8,5,6,1,3,2,4]
[4,2,3,1,6,5,10,8,9,7,12,11]=>[11,12,7,9,8,10,5,6,1,3,2,4]
[4,2,3,1,6,5,12,10,11,8,9,7]=>[7,9,8,11,10,12,5,6,1,3,2,4]
[4,2,3,1,6,5,12,9,11,8,10,7]=>[7,10,8,11,9,12,5,6,1,3,2,4]
[4,2,3,1,8,6,7,5,10,9,12,11]=>[11,12,9,10,5,7,6,8,1,3,2,4]
[4,2,3,1,8,6,7,5,12,10,11,9]=>[9,11,10,12,5,7,6,8,1,3,2,4]
[4,2,3,1,10,8,9,6,7,5,12,11]=>[11,12,5,7,6,9,8,10,1,3,2,4]
[4,2,3,1,12,10,11,8,9,6,7,5]=>[5,7,6,9,8,11,10,12,1,3,2,4]
[4,2,3,1,12,9,11,8,10,6,7,5]=>[5,7,6,10,8,11,9,12,1,3,2,4]
[4,2,3,1,10,7,9,6,8,5,12,11]=>[11,12,5,8,6,9,7,10,1,3,2,4]
[4,2,3,1,12,10,11,7,9,6,8,5]=>[5,8,6,9,7,11,10,12,1,3,2,4]
[4,2,3,1,12,9,11,7,10,6,8,5]=>[5,8,6,10,7,11,9,12,1,3,2,4]
[4,2,3,1,12,8,11,7,10,6,9,5]=>[5,9,6,10,7,11,8,12,1,3,2,4]
[6,4,5,2,3,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,3,2,5,4,6]
[6,4,5,2,3,1,8,7,12,10,11,9]=>[9,11,10,12,7,8,1,3,2,5,4,6]
[6,4,5,2,3,1,10,8,9,7,12,11]=>[11,12,7,9,8,10,1,3,2,5,4,6]
[6,4,5,2,3,1,12,10,11,8,9,7]=>[7,9,8,11,10,12,1,3,2,5,4,6]
[6,4,5,2,3,1,12,9,11,8,10,7]=>[7,10,8,11,9,12,1,3,2,5,4,6]
[8,6,7,4,5,2,3,1,10,9,12,11]=>[11,12,9,10,1,3,2,5,4,7,6,8]
[8,6,7,4,5,2,3,1,12,10,11,9]=>[9,11,10,12,1,3,2,5,4,7,6,8]
[10,8,9,6,7,4,5,2,3,1,12,11]=>[11,12,1,3,2,5,4,7,6,9,8,10]
[12,10,11,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,11,10,12]
[12,9,11,8,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,8,11,9,12]
[10,7,9,6,8,4,5,2,3,1,12,11]=>[11,12,1,3,2,5,4,8,6,9,7,10]
[12,10,11,7,9,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,9,7,11,10,12]
[12,9,11,7,10,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,10,7,11,9,12]
[12,8,11,7,10,6,9,4,5,2,3,1]=>[1,3,2,5,4,9,6,10,7,11,8,12]
[8,5,7,4,6,2,3,1,10,9,12,11]=>[11,12,9,10,1,3,2,6,4,7,5,8]
[8,5,7,4,6,2,3,1,12,10,11,9]=>[9,11,10,12,1,3,2,6,4,7,5,8]
[10,8,9,5,7,4,6,2,3,1,12,11]=>[11,12,1,3,2,6,4,7,5,9,8,10]
[12,10,11,8,9,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,9,8,11,10,12]
[12,9,11,8,10,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,10,8,11,9,12]
[10,7,9,5,8,4,6,2,3,1,12,11]=>[11,12,1,3,2,6,4,8,5,9,7,10]
[12,10,11,7,9,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,9,7,11,10,12]
[12,9,11,7,10,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,10,7,11,9,12]
[12,8,11,7,10,5,9,4,6,2,3,1]=>[1,3,2,6,4,9,5,10,7,11,8,12]
[10,6,9,5,8,4,7,2,3,1,12,11]=>[11,12,1,3,2,7,4,8,5,9,6,10]
[12,10,11,6,9,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,9,6,11,10,12]
[12,9,11,6,10,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,10,6,11,9,12]
[12,8,11,6,10,5,9,4,7,2,3,1]=>[1,3,2,7,4,9,5,10,6,11,8,12]
[12,7,11,6,10,5,9,4,8,2,3,1]=>[1,3,2,8,4,9,5,10,6,11,7,12]
[6,3,5,2,4,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,4,2,5,3,6]
[6,3,5,2,4,1,8,7,12,10,11,9]=>[9,11,10,12,7,8,1,4,2,5,3,6]
[6,3,5,2,4,1,10,8,9,7,12,11]=>[11,12,7,9,8,10,1,4,2,5,3,6]
[6,3,5,2,4,1,12,10,11,8,9,7]=>[7,9,8,11,10,12,1,4,2,5,3,6]
[6,3,5,2,4,1,12,9,11,8,10,7]=>[7,10,8,11,9,12,1,4,2,5,3,6]
[8,6,7,3,5,2,4,1,10,9,12,11]=>[11,12,9,10,1,4,2,5,3,7,6,8]
[8,6,7,3,5,2,4,1,12,10,11,9]=>[9,11,10,12,1,4,2,5,3,7,6,8]
[10,8,9,6,7,3,5,2,4,1,12,11]=>[11,12,1,4,2,5,3,7,6,9,8,10]
[12,10,11,8,9,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,9,8,11,10,12]
[12,9,11,8,10,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,10,8,11,9,12]
[10,7,9,6,8,3,5,2,4,1,12,11]=>[11,12,1,4,2,5,3,8,6,9,7,10]
[12,10,11,7,9,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,9,7,11,10,12]
[12,9,11,7,10,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,10,7,11,9,12]
[12,8,11,7,10,6,9,3,5,2,4,1]=>[1,4,2,5,3,9,6,10,7,11,8,12]
[8,5,7,3,6,2,4,1,10,9,12,11]=>[11,12,9,10,1,4,2,6,3,7,5,8]
[8,5,7,3,6,2,4,1,12,10,11,9]=>[9,11,10,12,1,4,2,6,3,7,5,8]
[10,8,9,5,7,3,6,2,4,1,12,11]=>[11,12,1,4,2,6,3,7,5,9,8,10]
[12,10,11,8,9,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,9,8,11,10,12]
[12,9,11,8,10,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,10,8,11,9,12]
[10,7,9,5,8,3,6,2,4,1,12,11]=>[11,12,1,4,2,6,3,8,5,9,7,10]
[12,10,11,7,9,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,9,7,11,10,12]
[12,9,11,7,10,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,10,7,11,9,12]
[12,8,11,7,10,5,9,3,6,2,4,1]=>[1,4,2,6,3,9,5,10,7,11,8,12]
[10,6,9,5,8,3,7,2,4,1,12,11]=>[11,12,1,4,2,7,3,8,5,9,6,10]
[12,10,11,6,9,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,9,6,11,10,12]
[12,9,11,6,10,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,10,6,11,9,12]
[12,8,11,6,10,5,9,3,7,2,4,1]=>[1,4,2,7,3,9,5,10,6,11,8,12]
[12,7,11,6,10,5,9,3,8,2,4,1]=>[1,4,2,8,3,9,5,10,6,11,7,12]
[8,4,7,3,6,2,5,1,10,9,12,11]=>[11,12,9,10,1,5,2,6,3,7,4,8]
[8,4,7,3,6,2,5,1,12,10,11,9]=>[9,11,10,12,1,5,2,6,3,7,4,8]
[10,8,9,4,7,3,6,2,5,1,12,11]=>[11,12,1,5,2,6,3,7,4,9,8,10]
[12,10,11,8,9,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,9,8,11,10,12]
[12,9,11,8,10,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,10,8,11,9,12]
[10,7,9,4,8,3,6,2,5,1,12,11]=>[11,12,1,5,2,6,3,8,4,9,7,10]
[12,10,11,7,9,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,9,7,11,10,12]
[12,9,11,7,10,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,10,7,11,9,12]
[12,8,11,7,10,4,9,3,6,2,5,1]=>[1,5,2,6,3,9,4,10,7,11,8,12]
[10,6,9,4,8,3,7,2,5,1,12,11]=>[11,12,1,5,2,7,3,8,4,9,6,10]
[12,10,11,6,9,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,9,6,11,10,12]
[12,9,11,6,10,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,10,6,11,9,12]
[12,8,11,6,10,4,9,3,7,2,5,1]=>[1,5,2,7,3,9,4,10,6,11,8,12]
[12,7,11,6,10,4,9,3,8,2,5,1]=>[1,5,2,8,3,9,4,10,6,11,7,12]
[10,5,9,4,8,3,7,2,6,1,12,11]=>[11,12,1,6,2,7,3,8,4,9,5,10]
[12,10,11,5,9,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,9,5,11,10,12]
[12,9,11,5,10,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,10,5,11,9,12]
[12,8,11,5,10,4,9,3,7,2,6,1]=>[1,6,2,7,3,9,4,10,5,11,8,12]
[12,7,11,5,10,4,9,3,8,2,6,1]=>[1,6,2,8,3,9,4,10,5,11,7,12]
[12,6,11,5,10,4,9,3,8,2,7,1]=>[1,7,2,8,3,9,4,10,5,11,6,12]
[12,3,4,5,6,7,8,9,10,11,1,2]=>[2,1,11,10,9,8,7,6,5,4,3,12]
[2,1,4,3,6,5,8,7,11,10,12,9]=>[9,12,10,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,8,10,7,12,11]=>[11,12,7,10,8,9,5,6,3,4,1,2]
[2,1,4,3,6,5,9,8,11,10,12,7]=>[7,12,10,11,8,9,5,6,3,4,1,2]
[2,1,4,3,6,5,10,9,11,8,12,7]=>[7,12,8,11,9,10,5,6,3,4,1,2]
[2,1,4,3,7,6,8,5,10,9,12,11]=>[11,12,9,10,5,8,6,7,3,4,1,2]
[2,1,4,3,7,6,8,5,11,10,12,9]=>[9,12,10,11,5,8,6,7,3,4,1,2]
[2,1,4,3,7,6,9,8,10,5,12,11]=>[11,12,5,10,8,9,6,7,3,4,1,2]
[2,1,4,3,7,6,9,8,11,10,12,5]=>[5,12,10,11,8,9,6,7,3,4,1,2]
[2,1,4,3,7,6,10,9,11,8,12,5]=>[5,12,8,11,9,10,6,7,3,4,1,2]
[2,1,4,3,8,7,9,6,10,5,12,11]=>[11,12,5,10,6,9,7,8,3,4,1,2]
[2,1,4,3,8,7,9,6,11,10,12,5]=>[5,12,10,11,6,9,7,8,3,4,1,2]
[2,1,4,3,8,7,10,9,11,6,12,5]=>[5,12,6,11,9,10,7,8,3,4,1,2]
[2,1,4,3,9,8,10,7,11,6,12,5]=>[5,12,6,11,7,10,8,9,3,4,1,2]
[2,1,5,4,6,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,6,4,5,1,2]
[2,1,5,4,6,3,8,7,11,10,12,9]=>[9,12,10,11,7,8,3,6,4,5,1,2]
[2,1,5,4,6,3,9,8,10,7,12,11]=>[11,12,7,10,8,9,3,6,4,5,1,2]
[2,1,5,4,6,3,9,8,11,10,12,7]=>[7,12,10,11,8,9,3,6,4,5,1,2]
[2,1,5,4,6,3,10,9,11,8,12,7]=>[7,12,8,11,9,10,3,6,4,5,1,2]
[2,1,5,4,7,6,8,3,10,9,12,11]=>[11,12,9,10,3,8,6,7,4,5,1,2]
[2,1,5,4,7,6,8,3,11,10,12,9]=>[9,12,10,11,3,8,6,7,4,5,1,2]
[2,1,5,4,7,6,9,8,10,3,12,11]=>[11,12,3,10,8,9,6,7,4,5,1,2]
[2,1,5,4,7,6,9,8,11,10,12,3]=>[3,12,10,11,8,9,6,7,4,5,1,2]
[2,1,5,4,7,6,10,9,11,8,12,3]=>[3,12,8,11,9,10,6,7,4,5,1,2]
[2,1,5,4,8,7,9,6,10,3,12,11]=>[11,12,3,10,6,9,7,8,4,5,1,2]
[2,1,5,4,8,7,9,6,11,10,12,3]=>[3,12,10,11,6,9,7,8,4,5,1,2]
[2,1,5,4,8,7,10,9,11,6,12,3]=>[3,12,6,11,9,10,7,8,4,5,1,2]
[2,1,5,4,9,8,10,7,11,6,12,3]=>[3,12,6,11,7,10,8,9,4,5,1,2]
[2,1,6,5,7,4,8,3,10,9,12,11]=>[11,12,9,10,3,8,4,7,5,6,1,2]
[2,1,6,5,7,4,8,3,11,10,12,9]=>[9,12,10,11,3,8,4,7,5,6,1,2]
[2,1,6,5,7,4,9,8,10,3,12,11]=>[11,12,3,10,8,9,4,7,5,6,1,2]
[2,1,6,5,7,4,9,8,11,10,12,3]=>[3,12,10,11,8,9,4,7,5,6,1,2]
[2,1,6,5,7,4,10,9,11,8,12,3]=>[3,12,8,11,9,10,4,7,5,6,1,2]
[2,1,6,5,8,7,9,4,10,3,12,11]=>[11,12,3,10,4,9,7,8,5,6,1,2]
[2,1,6,5,8,7,9,4,11,10,12,3]=>[3,12,10,11,4,9,7,8,5,6,1,2]
[2,1,6,5,8,7,10,9,11,4,12,3]=>[3,12,4,11,9,10,7,8,5,6,1,2]
[2,1,6,5,9,8,10,7,11,4,12,3]=>[3,12,4,11,7,10,8,9,5,6,1,2]
[2,1,7,6,8,5,9,4,10,3,12,11]=>[11,12,3,10,4,9,5,8,6,7,1,2]
[2,1,7,6,8,5,9,4,11,10,12,3]=>[3,12,10,11,4,9,5,8,6,7,1,2]
[2,1,7,6,8,5,10,9,11,4,12,3]=>[3,12,4,11,9,10,5,8,6,7,1,2]
[2,1,7,6,9,8,10,5,11,4,12,3]=>[3,12,4,11,5,10,8,9,6,7,1,2]
[2,1,8,7,9,6,10,5,11,4,12,3]=>[3,12,4,11,5,10,6,9,7,8,1,2]
[3,2,4,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,4,2,3]
[3,2,4,1,6,5,8,7,11,10,12,9]=>[9,12,10,11,7,8,5,6,1,4,2,3]
[3,2,4,1,6,5,9,8,10,7,12,11]=>[11,12,7,10,8,9,5,6,1,4,2,3]
[3,2,4,1,6,5,9,8,11,10,12,7]=>[7,12,10,11,8,9,5,6,1,4,2,3]
[3,2,4,1,6,5,10,9,11,8,12,7]=>[7,12,8,11,9,10,5,6,1,4,2,3]
[3,2,4,1,7,6,8,5,10,9,12,11]=>[11,12,9,10,5,8,6,7,1,4,2,3]
[3,2,4,1,7,6,8,5,11,10,12,9]=>[9,12,10,11,5,8,6,7,1,4,2,3]
[3,2,4,1,7,6,9,8,10,5,12,11]=>[11,12,5,10,8,9,6,7,1,4,2,3]
[3,2,4,1,7,6,9,8,11,10,12,5]=>[5,12,10,11,8,9,6,7,1,4,2,3]
[3,2,4,1,7,6,10,9,11,8,12,5]=>[5,12,8,11,9,10,6,7,1,4,2,3]
[3,2,4,1,8,7,9,6,10,5,12,11]=>[11,12,5,10,6,9,7,8,1,4,2,3]
[3,2,4,1,8,7,9,6,11,10,12,5]=>[5,12,10,11,6,9,7,8,1,4,2,3]
[3,2,4,1,8,7,10,9,11,6,12,5]=>[5,12,6,11,9,10,7,8,1,4,2,3]
[3,2,4,1,9,8,10,7,11,6,12,5]=>[5,12,6,11,7,10,8,9,1,4,2,3]
[3,2,5,4,6,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,6,4,5,2,3]
[3,2,5,4,6,1,8,7,11,10,12,9]=>[9,12,10,11,7,8,1,6,4,5,2,3]
[3,2,5,4,6,1,9,8,10,7,12,11]=>[11,12,7,10,8,9,1,6,4,5,2,3]
[3,2,5,4,6,1,9,8,11,10,12,7]=>[7,12,10,11,8,9,1,6,4,5,2,3]
[3,2,5,4,6,1,10,9,11,8,12,7]=>[7,12,8,11,9,10,1,6,4,5,2,3]
[3,2,5,4,7,6,8,1,10,9,12,11]=>[11,12,9,10,1,8,6,7,4,5,2,3]
[3,2,5,4,7,6,8,1,11,10,12,9]=>[9,12,10,11,1,8,6,7,4,5,2,3]
[3,2,5,4,7,6,9,8,10,1,12,11]=>[11,12,1,10,8,9,6,7,4,5,2,3]
[3,2,5,4,7,6,9,8,11,10,12,1]=>[1,12,10,11,8,9,6,7,4,5,2,3]
[3,2,5,4,7,6,10,9,11,8,12,1]=>[1,12,8,11,9,10,6,7,4,5,2,3]
[3,2,5,4,8,7,9,6,10,1,12,11]=>[11,12,1,10,6,9,7,8,4,5,2,3]
[3,2,5,4,8,7,9,6,11,10,12,1]=>[1,12,10,11,6,9,7,8,4,5,2,3]
[3,2,5,4,8,7,10,9,11,6,12,1]=>[1,12,6,11,9,10,7,8,4,5,2,3]
[3,2,5,4,9,8,10,7,11,6,12,1]=>[1,12,6,11,7,10,8,9,4,5,2,3]
[3,2,6,5,7,4,8,1,10,9,12,11]=>[11,12,9,10,1,8,4,7,5,6,2,3]
[3,2,6,5,7,4,8,1,11,10,12,9]=>[9,12,10,11,1,8,4,7,5,6,2,3]
[3,2,6,5,7,4,9,8,10,1,12,11]=>[11,12,1,10,8,9,4,7,5,6,2,3]
[3,2,6,5,7,4,9,8,11,10,12,1]=>[1,12,10,11,8,9,4,7,5,6,2,3]
[3,2,6,5,7,4,10,9,11,8,12,1]=>[1,12,8,11,9,10,4,7,5,6,2,3]
[3,2,6,5,8,7,9,4,10,1,12,11]=>[11,12,1,10,4,9,7,8,5,6,2,3]
[3,2,6,5,8,7,9,4,11,10,12,1]=>[1,12,10,11,4,9,7,8,5,6,2,3]
[3,2,6,5,8,7,10,9,11,4,12,1]=>[1,12,4,11,9,10,7,8,5,6,2,3]
[3,2,6,5,9,8,10,7,11,4,12,1]=>[1,12,4,11,7,10,8,9,5,6,2,3]
[3,2,7,6,8,5,9,4,10,1,12,11]=>[11,12,1,10,4,9,5,8,6,7,2,3]
[3,2,7,6,8,5,9,4,11,10,12,1]=>[1,12,10,11,4,9,5,8,6,7,2,3]
[3,2,7,6,8,5,10,9,11,4,12,1]=>[1,12,4,11,9,10,5,8,6,7,2,3]
[3,2,7,6,9,8,10,5,11,4,12,1]=>[1,12,4,11,5,10,8,9,6,7,2,3]
[3,2,8,7,9,6,10,5,11,4,12,1]=>[1,12,4,11,5,10,6,9,7,8,2,3]
[4,3,5,2,6,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,6,2,5,3,4]
[4,3,5,2,6,1,8,7,11,10,12,9]=>[9,12,10,11,7,8,1,6,2,5,3,4]
[4,3,5,2,6,1,9,8,10,7,12,11]=>[11,12,7,10,8,9,1,6,2,5,3,4]
[4,3,5,2,6,1,9,8,11,10,12,7]=>[7,12,10,11,8,9,1,6,2,5,3,4]
[4,3,5,2,6,1,10,9,11,8,12,7]=>[7,12,8,11,9,10,1,6,2,5,3,4]
[4,3,5,2,7,6,8,1,10,9,12,11]=>[11,12,9,10,1,8,6,7,2,5,3,4]
[4,3,5,2,7,6,8,1,11,10,12,9]=>[9,12,10,11,1,8,6,7,2,5,3,4]
[4,3,5,2,7,6,9,8,10,1,12,11]=>[11,12,1,10,8,9,6,7,2,5,3,4]
[4,3,5,2,7,6,9,8,11,10,12,1]=>[1,12,10,11,8,9,6,7,2,5,3,4]
[4,3,5,2,7,6,10,9,11,8,12,1]=>[1,12,8,11,9,10,6,7,2,5,3,4]
[4,3,5,2,8,7,9,6,10,1,12,11]=>[11,12,1,10,6,9,7,8,2,5,3,4]
[4,3,5,2,8,7,9,6,11,10,12,1]=>[1,12,10,11,6,9,7,8,2,5,3,4]
[4,3,5,2,8,7,10,9,11,6,12,1]=>[1,12,6,11,9,10,7,8,2,5,3,4]
[4,3,5,2,9,8,10,7,11,6,12,1]=>[1,12,6,11,7,10,8,9,2,5,3,4]
[4,3,6,5,7,2,8,1,10,9,12,11]=>[11,12,9,10,1,8,2,7,5,6,3,4]
[4,3,6,5,7,2,8,1,11,10,12,9]=>[9,12,10,11,1,8,2,7,5,6,3,4]
[4,3,6,5,7,2,9,8,10,1,12,11]=>[11,12,1,10,8,9,2,7,5,6,3,4]
[4,3,6,5,7,2,9,8,11,10,12,1]=>[1,12,10,11,8,9,2,7,5,6,3,4]
[4,3,6,5,7,2,10,9,11,8,12,1]=>[1,12,8,11,9,10,2,7,5,6,3,4]
[4,3,6,5,8,7,9,2,10,1,12,11]=>[11,12,1,10,2,9,7,8,5,6,3,4]
[4,3,6,5,8,7,9,2,11,10,12,1]=>[1,12,10,11,2,9,7,8,5,6,3,4]
[4,3,6,5,8,7,10,9,11,2,12,1]=>[1,12,2,11,9,10,7,8,5,6,3,4]
[4,3,6,5,9,8,10,7,11,2,12,1]=>[1,12,2,11,7,10,8,9,5,6,3,4]
[4,3,7,6,8,5,9,2,10,1,12,11]=>[11,12,1,10,2,9,5,8,6,7,3,4]
[4,3,7,6,8,5,9,2,11,10,12,1]=>[1,12,10,11,2,9,5,8,6,7,3,4]
[4,3,7,6,8,5,10,9,11,2,12,1]=>[1,12,2,11,9,10,5,8,6,7,3,4]
[4,3,7,6,9,8,10,5,11,2,12,1]=>[1,12,2,11,5,10,8,9,6,7,3,4]
[4,3,8,7,9,6,10,5,11,2,12,1]=>[1,12,2,11,5,10,6,9,7,8,3,4]
[5,4,6,3,7,2,8,1,10,9,12,11]=>[11,12,9,10,1,8,2,7,3,6,4,5]
[5,4,6,3,7,2,8,1,11,10,12,9]=>[9,12,10,11,1,8,2,7,3,6,4,5]
[5,4,6,3,7,2,9,8,10,1,12,11]=>[11,12,1,10,8,9,2,7,3,6,4,5]
[5,4,6,3,7,2,9,8,11,10,12,1]=>[1,12,10,11,8,9,2,7,3,6,4,5]
[5,4,6,3,7,2,10,9,11,8,12,1]=>[1,12,8,11,9,10,2,7,3,6,4,5]
[5,4,6,3,8,7,9,2,10,1,12,11]=>[11,12,1,10,2,9,7,8,3,6,4,5]
[5,4,6,3,8,7,9,2,11,10,12,1]=>[1,12,10,11,2,9,7,8,3,6,4,5]
[5,4,6,3,8,7,10,9,11,2,12,1]=>[1,12,2,11,9,10,7,8,3,6,4,5]
[5,4,6,3,9,8,10,7,11,2,12,1]=>[1,12,2,11,7,10,8,9,3,6,4,5]
[5,4,7,6,8,3,9,2,10,1,12,11]=>[11,12,1,10,2,9,3,8,6,7,4,5]
[5,4,7,6,8,3,9,2,11,10,12,1]=>[1,12,10,11,2,9,3,8,6,7,4,5]
[5,4,7,6,8,3,10,9,11,2,12,1]=>[1,12,2,11,9,10,3,8,6,7,4,5]
[5,4,7,6,9,8,10,3,11,2,12,1]=>[1,12,2,11,3,10,8,9,6,7,4,5]
[5,4,8,7,9,6,10,3,11,2,12,1]=>[1,12,2,11,3,10,6,9,7,8,4,5]
[6,5,7,4,8,3,9,2,10,1,12,11]=>[11,12,1,10,2,9,3,8,4,7,5,6]
[6,5,7,4,8,3,9,2,11,10,12,1]=>[1,12,10,11,2,9,3,8,4,7,5,6]
[6,5,7,4,8,3,10,9,11,2,12,1]=>[1,12,2,11,9,10,3,8,4,7,5,6]
[6,5,7,4,9,8,10,3,11,2,12,1]=>[1,12,2,11,3,10,8,9,4,7,5,6]
[6,5,8,7,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,7,8,5,6]
[7,6,8,5,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,5,8,6,7]
[1,2,3,4,5,6,7,8,9,11,10,12]=>[12,10,11,9,8,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,9,8,10,11,12]=>[12,11,10,8,9,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,9,8,11,10,12]=>[12,10,11,8,9,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,10,9,12,8,11]=>[11,8,12,9,10,7,6,5,4,3,2,1]
[1,2,3,4,5,7,6,8,9,10,11,12]=>[12,11,10,9,8,6,7,5,4,3,2,1]
[1,2,3,4,5,7,6,8,9,11,10,12]=>[12,10,11,9,8,6,7,5,4,3,2,1]
[1,2,3,4,5,7,6,9,8,10,11,12]=>[12,11,10,8,9,6,7,5,4,3,2,1]
[1,2,3,4,5,7,6,9,8,11,10,12]=>[12,10,11,8,9,6,7,5,4,3,2,1]
[1,2,3,4,5,7,6,10,9,12,8,11]=>[11,8,12,9,10,6,7,5,4,3,2,1]
[1,2,3,4,5,8,7,10,6,9,11,12]=>[12,11,9,6,10,7,8,5,4,3,2,1]
[1,2,3,4,5,8,7,11,10,12,6,9]=>[9,6,12,10,11,7,8,5,4,3,2,1]
[1,2,3,4,5,8,7,11,6,10,9,12]=>[12,9,10,6,11,7,8,5,4,3,2,1]
[1,2,3,4,5,9,8,12,6,10,7,11]=>[11,7,10,6,12,8,9,5,4,3,2,1]
[1,2,3,5,4,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,4,5,3,2,1]
[1,2,3,5,4,6,7,8,9,11,10,12]=>[12,10,11,9,8,7,6,4,5,3,2,1]
[1,2,3,5,4,6,7,9,8,10,11,12]=>[12,11,10,8,9,7,6,4,5,3,2,1]
[1,2,3,5,4,6,7,9,8,11,10,12]=>[12,10,11,8,9,7,6,4,5,3,2,1]
[1,2,3,5,4,6,7,10,9,12,8,11]=>[11,8,12,9,10,7,6,4,5,3,2,1]
[1,2,3,5,4,7,6,8,9,10,11,12]=>[12,11,10,9,8,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,8,9,11,10,12]=>[12,10,11,9,8,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,9,8,10,11,12]=>[12,11,10,8,9,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,9,8,11,10,12]=>[12,10,11,8,9,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,10,9,12,8,11]=>[11,8,12,9,10,6,7,4,5,3,2,1]
[1,2,3,5,4,8,7,10,6,9,11,12]=>[12,11,9,6,10,7,8,4,5,3,2,1]
[1,2,3,5,4,8,7,11,10,12,6,9]=>[9,6,12,10,11,7,8,4,5,3,2,1]
[1,2,3,5,4,8,7,11,6,10,9,12]=>[12,9,10,6,11,7,8,4,5,3,2,1]
[1,2,3,5,4,9,8,12,6,10,7,11]=>[11,7,10,6,12,8,9,4,5,3,2,1]
[1,2,3,6,5,8,4,7,9,10,11,12]=>[12,11,10,9,7,4,8,5,6,3,2,1]
[1,2,3,6,5,8,4,7,9,11,10,12]=>[12,10,11,9,7,4,8,5,6,3,2,1]
[1,2,3,6,5,9,8,10,4,7,11,12]=>[12,11,7,4,10,8,9,5,6,3,2,1]
[1,2,3,6,5,9,8,11,10,12,4,7]=>[7,4,12,10,11,8,9,5,6,3,2,1]
[1,2,3,6,5,10,9,12,4,7,8,11]=>[11,8,7,4,12,9,10,5,6,3,2,1]
[1,2,3,6,5,9,4,8,7,10,11,12]=>[12,11,10,7,8,4,9,5,6,3,2,1]
[1,2,3,6,5,9,4,8,7,11,10,12]=>[12,10,11,7,8,4,9,5,6,3,2,1]
[1,2,3,6,5,10,9,12,4,8,7,11]=>[11,7,8,4,12,9,10,5,6,3,2,1]
[1,2,3,6,5,10,7,11,4,9,8,12]=>[12,8,9,4,11,7,10,5,6,3,2,1]
[1,2,3,7,6,10,4,8,5,9,11,12]=>[12,11,9,5,8,4,10,6,7,3,2,1]
[1,2,3,7,6,11,10,12,4,8,5,9]=>[9,5,8,4,12,10,11,6,7,3,2,1]
[1,2,3,7,6,11,4,8,5,10,9,12]=>[12,9,10,5,8,4,11,6,7,3,2,1]
[1,2,3,7,6,11,4,9,8,12,5,10]=>[10,5,12,8,9,4,11,6,7,3,2,1]
[1,2,3,8,7,12,4,9,6,11,5,10]=>[10,5,11,6,9,4,12,7,8,3,2,1]
[1,3,2,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,2,3,1]
[1,3,2,4,5,6,7,8,9,11,10,12]=>[12,10,11,9,8,7,6,5,4,2,3,1]
[1,3,2,4,5,6,7,9,8,10,11,12]=>[12,11,10,8,9,7,6,5,4,2,3,1]
[1,3,2,4,5,6,7,9,8,11,10,12]=>[12,10,11,8,9,7,6,5,4,2,3,1]
[1,3,2,4,5,6,7,10,9,12,8,11]=>[11,8,12,9,10,7,6,5,4,2,3,1]
[1,3,2,4,5,7,6,8,9,10,11,12]=>[12,11,10,9,8,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,8,9,11,10,12]=>[12,10,11,9,8,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,9,8,10,11,12]=>[12,11,10,8,9,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,9,8,11,10,12]=>[12,10,11,8,9,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,10,9,12,8,11]=>[11,8,12,9,10,6,7,5,4,2,3,1]
[1,3,2,4,5,8,7,10,6,9,11,12]=>[12,11,9,6,10,7,8,5,4,2,3,1]
[1,3,2,4,5,8,7,11,10,12,6,9]=>[9,6,12,10,11,7,8,5,4,2,3,1]
[1,3,2,4,5,8,7,11,6,10,9,12]=>[12,9,10,6,11,7,8,5,4,2,3,1]
[1,3,2,4,5,9,8,12,6,10,7,11]=>[11,7,10,6,12,8,9,5,4,2,3,1]
[1,3,2,5,4,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,8,9,11,10,12]=>[12,10,11,9,8,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,9,8,10,11,12]=>[12,11,10,8,9,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,9,8,11,10,12]=>[12,10,11,8,9,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,10,9,12,8,11]=>[11,8,12,9,10,7,6,4,5,2,3,1]
[1,3,2,5,4,7,6,8,9,10,11,12]=>[12,11,10,9,8,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,8,9,11,10,12]=>[12,10,11,9,8,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,9,8,10,11,12]=>[12,11,10,8,9,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,9,8,11,10,12]=>[12,10,11,8,9,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,10,9,12,8,11]=>[11,8,12,9,10,6,7,4,5,2,3,1]
[1,3,2,5,4,8,7,10,6,9,11,12]=>[12,11,9,6,10,7,8,4,5,2,3,1]
[1,3,2,5,4,8,7,11,10,12,6,9]=>[9,6,12,10,11,7,8,4,5,2,3,1]
[1,3,2,5,4,8,7,11,6,10,9,12]=>[12,9,10,6,11,7,8,4,5,2,3,1]
[1,3,2,5,4,9,8,12,6,10,7,11]=>[11,7,10,6,12,8,9,4,5,2,3,1]
[1,3,2,6,5,8,4,7,9,10,11,12]=>[12,11,10,9,7,4,8,5,6,2,3,1]
[1,3,2,6,5,8,4,7,9,11,10,12]=>[12,10,11,9,7,4,8,5,6,2,3,1]
[1,3,2,6,5,9,8,10,4,7,11,12]=>[12,11,7,4,10,8,9,5,6,2,3,1]
[1,3,2,6,5,9,8,11,10,12,4,7]=>[7,4,12,10,11,8,9,5,6,2,3,1]
[1,3,2,6,5,10,9,12,4,7,8,11]=>[11,8,7,4,12,9,10,5,6,2,3,1]
[1,3,2,6,5,9,4,8,7,10,11,12]=>[12,11,10,7,8,4,9,5,6,2,3,1]
[1,3,2,6,5,9,4,8,7,11,10,12]=>[12,10,11,7,8,4,9,5,6,2,3,1]
[1,3,2,6,5,10,9,12,4,8,7,11]=>[11,7,8,4,12,9,10,5,6,2,3,1]
[1,3,2,6,5,10,7,11,4,9,8,12]=>[12,8,9,4,11,7,10,5,6,2,3,1]
[1,3,2,7,6,10,4,8,5,9,11,12]=>[12,11,9,5,8,4,10,6,7,2,3,1]
[1,3,2,7,6,11,10,12,4,8,5,9]=>[9,5,8,4,12,10,11,6,7,2,3,1]
[1,3,2,7,6,11,4,8,5,10,9,12]=>[12,9,10,5,8,4,11,6,7,2,3,1]
[1,3,2,7,6,11,4,9,8,12,5,10]=>[10,5,12,8,9,4,11,6,7,2,3,1]
[1,3,2,8,7,12,4,9,6,11,5,10]=>[10,5,11,6,9,4,12,7,8,2,3,1]
[1,4,3,6,2,5,7,8,9,10,11,12]=>[12,11,10,9,8,7,5,2,6,3,4,1]
[1,4,3,6,2,5,7,8,9,11,10,12]=>[12,10,11,9,8,7,5,2,6,3,4,1]
[1,4,3,6,2,5,7,9,8,10,11,12]=>[12,11,10,8,9,7,5,2,6,3,4,1]
[1,4,3,6,2,5,7,9,8,11,10,12]=>[12,10,11,8,9,7,5,2,6,3,4,1]
[1,4,3,6,2,5,7,10,9,12,8,11]=>[11,8,12,9,10,7,5,2,6,3,4,1]
[1,4,3,7,6,8,2,5,9,10,11,12]=>[12,11,10,9,5,2,8,6,7,3,4,1]
[1,4,3,7,6,8,2,5,9,11,10,12]=>[12,10,11,9,5,2,8,6,7,3,4,1]
[1,4,3,7,6,9,8,10,2,5,11,12]=>[12,11,5,2,10,8,9,6,7,3,4,1]
[1,4,3,7,6,9,8,11,10,12,2,5]=>[5,2,12,10,11,8,9,6,7,3,4,1]
[1,4,3,7,6,10,9,12,2,5,8,11]=>[11,8,5,2,12,9,10,6,7,3,4,1]
[1,4,3,8,7,10,2,5,6,9,11,12]=>[12,11,9,6,5,2,10,7,8,3,4,1]
[1,4,3,8,7,11,10,12,2,5,6,9]=>[9,6,5,2,12,10,11,7,8,3,4,1]
[1,4,3,8,7,11,6,10,9,12,2,5]=>[5,2,12,9,10,6,11,7,8,3,4,1]
[1,4,3,9,8,12,2,5,6,10,7,11]=>[11,7,10,6,5,2,12,8,9,3,4,1]
[1,4,3,7,2,6,5,8,9,10,11,12]=>[12,11,10,9,8,5,6,2,7,3,4,1]
[1,4,3,7,2,6,5,8,9,11,10,12]=>[12,10,11,9,8,5,6,2,7,3,4,1]
[1,4,3,7,2,6,5,9,8,10,11,12]=>[12,11,10,8,9,5,6,2,7,3,4,1]
[1,4,3,7,2,6,5,9,8,11,10,12]=>[12,10,11,8,9,5,6,2,7,3,4,1]
[1,4,3,7,2,6,5,10,9,12,8,11]=>[11,8,12,9,10,5,6,2,7,3,4,1]
[1,4,3,8,7,10,2,6,5,9,11,12]=>[12,11,9,5,6,2,10,7,8,3,4,1]
[1,4,3,8,7,11,10,12,2,6,5,9]=>[9,5,6,2,12,10,11,7,8,3,4,1]
[1,4,3,8,7,11,2,6,5,10,9,12]=>[12,9,10,5,6,2,11,7,8,3,4,1]
[1,4,3,9,8,12,2,6,5,10,7,11]=>[11,7,10,5,6,2,12,8,9,3,4,1]
[1,4,3,8,5,9,2,7,6,10,11,12]=>[12,11,10,6,7,2,9,5,8,3,4,1]
[1,4,3,8,5,9,2,7,6,11,10,12]=>[12,10,11,6,7,2,9,5,8,3,4,1]
[1,4,3,8,5,10,9,12,2,7,6,11]=>[11,6,7,2,12,9,10,5,8,3,4,1]
[1,4,3,9,8,12,2,7,6,11,5,10]=>[10,5,11,6,7,2,12,8,9,3,4,1]
[1,4,3,9,6,11,2,8,7,12,5,10]=>[10,5,12,7,8,2,11,6,9,3,4,1]
[1,5,4,8,2,6,3,7,9,10,11,12]=>[12,11,10,9,7,3,6,2,8,4,5,1]
[1,5,4,8,2,6,3,7,9,11,10,12]=>[12,10,11,9,7,3,6,2,8,4,5,1]
[1,5,4,9,8,10,2,6,3,7,11,12]=>[12,11,7,3,6,2,10,8,9,4,5,1]
[1,5,4,9,8,11,10,12,2,6,3,7]=>[7,3,6,2,12,10,11,8,9,4,5,1]
[1,5,4,10,9,12,2,6,3,7,8,11]=>[11,8,7,3,6,2,12,9,10,4,5,1]
[1,5,4,9,2,6,3,8,7,10,11,12]=>[12,11,10,7,8,3,6,2,9,4,5,1]
[1,5,4,9,2,6,3,8,7,11,10,12]=>[12,10,11,7,8,3,6,2,9,4,5,1]
[1,5,4,10,9,12,2,6,3,8,7,11]=>[11,7,8,3,6,2,12,9,10,4,5,1]
[1,5,4,10,7,11,2,6,3,9,8,12]=>[12,8,9,3,6,2,11,7,10,4,5,1]
[1,5,4,9,2,7,6,10,3,8,11,12]=>[12,11,8,3,10,6,7,2,9,4,5,1]
[1,5,4,9,2,7,6,11,10,12,3,8]=>[8,3,12,10,11,6,7,2,9,4,5,1]
[1,5,4,10,9,12,2,7,6,11,3,8]=>[8,3,11,6,7,2,12,9,10,4,5,1]
[1,5,4,10,3,9,8,12,2,7,6,11]=>[11,6,7,2,12,8,9,3,10,4,5,1]
[1,5,4,10,3,9,6,11,2,8,7,12]=>[12,7,8,2,11,6,9,3,10,4,5,1]
[1,6,5,10,2,7,4,9,3,8,11,12]=>[12,11,8,3,9,4,7,2,10,5,6,1]
[1,6,5,11,10,12,2,7,4,9,3,8]=>[8,3,9,4,7,2,12,10,11,5,6,1]
[1,6,5,11,2,7,4,10,9,12,3,8]=>[8,3,12,9,10,4,7,2,11,5,6,1]
[1,6,5,11,2,7,4,10,3,9,8,12]=>[12,8,9,3,10,4,7,2,11,5,6,1]
[1,6,5,11,2,8,7,12,3,9,4,10]=>[10,4,9,3,12,7,8,2,11,5,6,1]
[1,7,6,12,2,8,5,11,3,9,4,10]=>[10,4,9,3,11,5,8,2,12,6,7,1]
[3,4,5,6,7,8,9,10,11,1,12,2]=>[2,12,1,11,10,9,8,7,6,5,4,3]
[4,2,5,6,7,8,9,10,11,12,1,3]=>[3,1,12,11,10,9,8,7,6,5,2,4]
[2,1,4,3,6,5,8,7,11,9,12,10]=>[10,12,9,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,7,10,8,12,11]=>[11,12,8,10,7,9,5,6,3,4,1,2]
[2,1,4,3,7,5,8,6,10,9,12,11]=>[11,12,9,10,6,8,5,7,3,4,1,2]
[2,1,4,3,7,5,8,6,11,9,12,10]=>[10,12,9,11,6,8,5,7,3,4,1,2]
[2,1,5,3,6,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,6,3,5,1,2]
[2,1,5,3,6,4,8,7,11,9,12,10]=>[10,12,9,11,7,8,4,6,3,5,1,2]
[2,1,5,3,6,4,9,7,10,8,12,11]=>[11,12,8,10,7,9,4,6,3,5,1,2]
[3,1,4,2,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,2,4,1,3]
[3,1,4,2,6,5,8,7,11,9,12,10]=>[10,12,9,11,7,8,5,6,2,4,1,3]
[3,1,4,2,6,5,9,7,10,8,12,11]=>[11,12,8,10,7,9,5,6,2,4,1,3]
[3,1,4,2,7,5,8,6,10,9,12,11]=>[11,12,9,10,6,8,5,7,2,4,1,3]
[3,1,4,2,7,5,8,6,11,9,12,10]=>[10,12,9,11,6,8,5,7,2,4,1,3]
[3,1,12,11,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,11,12,1,3]
[2,3,4,5,6,7,8,9,11,1,12,10]=>[10,12,1,11,9,8,7,6,5,4,3,2]
[1,8,2,9,3,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,3,9,2,8,1]
[1,8,2,9,3,10,4,11,12,5,6,7]=>[7,6,5,12,11,4,10,3,9,2,8,1]
[1,8,2,9,3,10,11,4,5,12,6,7]=>[7,6,12,5,4,11,10,3,9,2,8,1]
[1,8,2,9,3,10,11,4,12,5,6,7]=>[7,6,5,12,4,11,10,3,9,2,8,1]
[1,8,2,9,3,10,11,12,4,5,6,7]=>[7,6,5,4,12,11,10,3,9,2,8,1]
[1,8,2,9,10,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,10,9,2,8,1]
[1,8,2,9,10,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,10,9,2,8,1]
[1,8,2,9,10,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,10,9,2,8,1]
[1,8,2,9,10,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,10,9,2,8,1]
[1,8,2,9,10,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,10,9,2,8,1]
[1,8,2,9,10,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,10,9,2,8,1]
[1,8,2,9,10,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,10,9,2,8,1]
[1,8,2,9,10,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,10,9,2,8,1]
[1,8,2,9,10,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,10,9,2,8,1]
[1,8,9,2,3,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,3,2,9,8,1]
[1,8,9,2,3,10,4,11,12,5,6,7]=>[7,6,5,12,11,4,10,3,2,9,8,1]
[1,8,9,2,3,10,11,4,5,12,6,7]=>[7,6,12,5,4,11,10,3,2,9,8,1]
[1,8,9,2,3,10,11,4,12,5,6,7]=>[7,6,5,12,4,11,10,3,2,9,8,1]
[1,8,9,2,3,10,11,12,4,5,6,7]=>[7,6,5,4,12,11,10,3,2,9,8,1]
[1,8,9,2,10,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,10,2,9,8,1]
[1,8,9,2,10,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,10,2,9,8,1]
[1,8,9,2,10,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,10,2,9,8,1]
[1,8,9,2,10,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,10,2,9,8,1]
[1,8,9,2,10,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,10,2,9,8,1]
[1,8,9,2,10,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,10,2,9,8,1]
[1,8,9,2,10,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,10,2,9,8,1]
[1,8,9,2,10,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,10,2,9,8,1]
[1,8,9,2,10,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,10,2,9,8,1]
[1,8,9,10,2,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,2,10,9,8,1]
[1,8,9,10,2,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,2,10,9,8,1]
[1,8,9,10,2,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,2,10,9,8,1]
[1,8,9,10,2,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,2,10,9,8,1]
[1,8,9,10,2,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,2,10,9,8,1]
[1,8,9,10,2,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,2,10,9,8,1]
[1,8,9,10,2,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,2,10,9,8,1]
[1,8,9,10,2,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,2,10,9,8,1]
[1,8,9,10,2,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,2,10,9,8,1]
[1,8,9,10,11,2,3,4,5,12,6,7]=>[7,6,12,5,4,3,2,11,10,9,8,1]
[1,8,9,10,11,2,3,4,12,5,6,7]=>[7,6,5,12,4,3,2,11,10,9,8,1]
[1,8,9,10,11,2,3,12,4,5,6,7]=>[7,6,5,4,12,3,2,11,10,9,8,1]
[1,8,9,10,11,2,12,3,4,5,6,7]=>[7,6,5,4,3,12,2,11,10,9,8,1]
[1,8,9,10,11,12,2,3,4,5,6,7]=>[7,6,5,4,3,2,12,11,10,9,8,1]
[8,1,2,9,3,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,3,9,2,1,8]
[8,1,2,9,3,10,4,11,12,5,6,7]=>[7,6,5,12,11,4,10,3,9,2,1,8]
[8,1,2,9,3,10,11,4,5,12,6,7]=>[7,6,12,5,4,11,10,3,9,2,1,8]
[8,1,2,9,3,10,11,4,12,5,6,7]=>[7,6,5,12,4,11,10,3,9,2,1,8]
[8,1,2,9,3,10,11,12,4,5,6,7]=>[7,6,5,4,12,11,10,3,9,2,1,8]
[8,1,2,9,10,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,10,9,2,1,8]
[8,1,2,9,10,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,10,9,2,1,8]
[8,1,2,9,10,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,10,9,2,1,8]
[8,1,2,9,10,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,10,9,2,1,8]
[8,1,2,9,10,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,10,9,2,1,8]
[8,1,2,9,10,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,10,9,2,1,8]
[8,1,2,9,10,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,10,9,2,1,8]
[8,1,2,9,10,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,10,9,2,1,8]
[8,1,2,9,10,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,10,9,2,1,8]
[8,1,9,2,3,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,3,2,9,1,8]
[8,1,9,2,3,10,4,11,12,5,6,7]=>[7,6,5,12,11,4,10,3,2,9,1,8]
[8,1,9,2,3,10,11,4,5,12,6,7]=>[7,6,12,5,4,11,10,3,2,9,1,8]
[8,1,9,2,3,10,11,4,12,5,6,7]=>[7,6,5,12,4,11,10,3,2,9,1,8]
[8,1,9,2,3,10,11,12,4,5,6,7]=>[7,6,5,4,12,11,10,3,2,9,1,8]
[8,1,9,2,10,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,10,2,9,1,8]
[8,1,9,2,10,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,10,2,9,1,8]
[8,1,9,2,10,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,10,2,9,1,8]
[8,1,9,2,10,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,10,2,9,1,8]
[8,1,9,2,10,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,10,2,9,1,8]
[8,1,9,2,10,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,10,2,9,1,8]
[8,1,9,2,10,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,10,2,9,1,8]
[8,1,9,2,10,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,10,2,9,1,8]
[8,1,9,2,10,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,10,2,9,1,8]
[8,1,9,10,2,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,2,10,9,1,8]
[8,1,9,10,2,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,2,10,9,1,8]
[8,1,9,10,2,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,2,10,9,1,8]
[8,1,9,10,2,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,2,10,9,1,8]
[8,1,9,10,2,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,2,10,9,1,8]
[8,1,9,10,2,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,2,10,9,1,8]
[8,1,9,10,2,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,2,10,9,1,8]
[8,1,9,10,2,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,2,10,9,1,8]
[8,1,9,10,2,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,2,10,9,1,8]
[8,1,9,10,11,2,3,4,5,12,6,7]=>[7,6,12,5,4,3,2,11,10,9,1,8]
[8,1,9,10,11,2,3,4,12,5,6,7]=>[7,6,5,12,4,3,2,11,10,9,1,8]
[8,1,9,10,11,2,3,12,4,5,6,7]=>[7,6,5,4,12,3,2,11,10,9,1,8]
[8,1,9,10,11,2,12,3,4,5,6,7]=>[7,6,5,4,3,12,2,11,10,9,1,8]
[8,1,9,10,11,12,2,3,4,5,6,7]=>[7,6,5,4,3,2,12,11,10,9,1,8]
[8,9,1,2,3,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,3,2,1,9,8]
[8,9,1,2,3,10,4,11,12,5,6,7]=>[7,6,5,12,11,4,10,3,2,1,9,8]
[8,9,1,2,3,10,11,4,5,12,6,7]=>[7,6,12,5,4,11,10,3,2,1,9,8]
[8,9,1,2,3,10,11,4,12,5,6,7]=>[7,6,5,12,4,11,10,3,2,1,9,8]
[8,9,1,2,3,10,11,12,4,5,6,7]=>[7,6,5,4,12,11,10,3,2,1,9,8]
[8,9,1,2,10,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,10,2,1,9,8]
[8,9,1,2,10,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,10,2,1,9,8]
[8,9,1,2,10,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,10,2,1,9,8]
[8,9,1,2,10,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,10,2,1,9,8]
[8,9,1,2,10,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,10,2,1,9,8]
[8,9,1,2,10,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,10,2,1,9,8]
[8,9,1,2,10,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,10,2,1,9,8]
[8,9,1,2,10,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,10,2,1,9,8]
[8,9,1,2,10,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,10,2,1,9,8]
[8,9,1,10,2,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,2,10,1,9,8]
[8,9,1,10,2,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,2,10,1,9,8]
[8,9,1,10,2,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,2,10,1,9,8]
[8,9,1,10,2,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,2,10,1,9,8]
[8,9,1,10,2,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,2,10,1,9,8]
[8,9,1,10,2,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,2,10,1,9,8]
[8,9,1,10,2,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,2,10,1,9,8]
[8,9,1,10,2,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,2,10,1,9,8]
[8,9,1,10,2,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,2,10,1,9,8]
[8,9,1,10,11,2,3,4,5,12,6,7]=>[7,6,12,5,4,3,2,11,10,1,9,8]
[8,9,1,10,11,2,3,4,12,5,6,7]=>[7,6,5,12,4,3,2,11,10,1,9,8]
[8,9,1,10,11,2,3,12,4,5,6,7]=>[7,6,5,4,12,3,2,11,10,1,9,8]
[8,9,1,10,11,2,12,3,4,5,6,7]=>[7,6,5,4,3,12,2,11,10,1,9,8]
[8,9,1,10,11,12,2,3,4,5,6,7]=>[7,6,5,4,3,2,12,11,10,1,9,8]
[8,9,10,1,2,3,4,11,5,12,6,7]=>[7,6,12,5,11,4,3,2,1,10,9,8]
[8,9,10,1,2,3,4,11,12,5,6,7]=>[7,6,5,12,11,4,3,2,1,10,9,8]
[8,9,10,1,2,3,11,4,5,12,6,7]=>[7,6,12,5,4,11,3,2,1,10,9,8]
[8,9,10,1,2,3,11,4,12,5,6,7]=>[7,6,5,12,4,11,3,2,1,10,9,8]
[8,9,10,1,2,3,11,12,4,5,6,7]=>[7,6,5,4,12,11,3,2,1,10,9,8]
[8,9,10,1,2,11,3,4,5,12,6,7]=>[7,6,12,5,4,3,11,2,1,10,9,8]
[8,9,10,1,2,11,3,4,12,5,6,7]=>[7,6,5,12,4,3,11,2,1,10,9,8]
[8,9,10,1,2,11,3,12,4,5,6,7]=>[7,6,5,4,12,3,11,2,1,10,9,8]
[8,9,10,1,2,11,12,3,4,5,6,7]=>[7,6,5,4,3,12,11,2,1,10,9,8]
[8,9,10,1,11,2,3,4,5,12,6,7]=>[7,6,12,5,4,3,2,11,1,10,9,8]
[8,9,10,1,11,2,3,4,12,5,6,7]=>[7,6,5,12,4,3,2,11,1,10,9,8]
[8,9,10,1,11,2,3,12,4,5,6,7]=>[7,6,5,4,12,3,2,11,1,10,9,8]
[8,9,10,1,11,2,12,3,4,5,6,7]=>[7,6,5,4,3,12,2,11,1,10,9,8]
[8,9,10,1,11,12,2,3,4,5,6,7]=>[7,6,5,4,3,2,12,11,1,10,9,8]
[8,9,10,11,1,2,3,4,5,12,6,7]=>[7,6,12,5,4,3,2,1,11,10,9,8]
[8,9,10,11,1,2,3,4,12,5,6,7]=>[7,6,5,12,4,3,2,1,11,10,9,8]
[8,9,10,11,1,2,3,12,4,5,6,7]=>[7,6,5,4,12,3,2,1,11,10,9,8]
[8,9,10,11,1,2,12,3,4,5,6,7]=>[7,6,5,4,3,12,2,1,11,10,9,8]
[8,9,10,11,1,12,2,3,4,5,6,7]=>[7,6,5,4,3,2,12,1,11,10,9,8]
[8,9,10,11,12,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,12,11,10,9,8]
[12,10,8,6,4,2,1,3,5,7,9,11]=>[11,9,7,5,3,1,2,4,6,8,10,12]
[11,12,8,6,4,2,1,3,5,7,10,9]=>[9,10,7,5,3,1,2,4,6,8,12,11]
[12,9,10,6,4,2,1,3,5,8,7,11]=>[11,7,8,5,3,1,2,4,6,10,9,12]
[11,9,12,6,4,2,1,3,5,8,10,7]=>[7,10,8,5,3,1,2,4,6,12,9,11]
[10,11,12,6,4,2,1,3,5,9,8,7]=>[7,8,9,5,3,1,2,4,6,12,11,10]
[12,10,7,8,4,2,1,3,6,5,9,11]=>[11,9,5,6,3,1,2,4,8,7,10,12]
[11,12,7,8,4,2,1,3,6,5,10,9]=>[9,10,5,6,3,1,2,4,8,7,12,11]
[12,9,7,10,4,2,1,3,6,8,5,11]=>[11,5,8,6,3,1,2,4,10,7,9,12]
[11,9,7,12,4,2,1,3,6,8,10,5]=>[5,10,8,6,3,1,2,4,12,7,9,11]
[10,11,7,12,4,2,1,3,6,9,8,5]=>[5,8,9,6,3,1,2,4,12,7,11,10]
[12,8,9,10,4,2,1,3,7,6,5,11]=>[11,5,6,7,3,1,2,4,10,9,8,12]
[11,8,9,12,4,2,1,3,7,6,10,5]=>[5,10,6,7,3,1,2,4,12,9,8,11]
[10,8,11,12,4,2,1,3,7,9,6,5]=>[5,6,9,7,3,1,2,4,12,11,8,10]
[9,10,11,12,4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4,12,11,10,9]
[12,10,8,5,6,2,1,4,3,7,9,11]=>[11,9,7,3,4,1,2,6,5,8,10,12]
[11,12,8,5,6,2,1,4,3,7,10,9]=>[9,10,7,3,4,1,2,6,5,8,12,11]
[12,9,10,5,6,2,1,4,3,8,7,11]=>[11,7,8,3,4,1,2,6,5,10,9,12]
[11,9,12,5,6,2,1,4,3,8,10,7]=>[7,10,8,3,4,1,2,6,5,12,9,11]
[10,11,12,5,6,2,1,4,3,9,8,7]=>[7,8,9,3,4,1,2,6,5,12,11,10]
[12,10,7,5,8,2,1,4,6,3,9,11]=>[11,9,3,6,4,1,2,8,5,7,10,12]
[11,12,7,5,8,2,1,4,6,3,10,9]=>[9,10,3,6,4,1,2,8,5,7,12,11]
[12,9,7,5,10,2,1,4,6,8,3,11]=>[11,3,8,6,4,1,2,10,5,7,9,12]
[11,9,7,5,12,2,1,4,6,8,10,3]=>[3,10,8,6,4,1,2,12,5,7,9,11]
[10,11,7,5,12,2,1,4,6,9,8,3]=>[3,8,9,6,4,1,2,12,5,7,11,10]
[12,8,9,5,10,2,1,4,7,6,3,11]=>[11,3,6,7,4,1,2,10,5,9,8,12]
[11,8,9,5,12,2,1,4,7,6,10,3]=>[3,10,6,7,4,1,2,12,5,9,8,11]
[10,8,11,5,12,2,1,4,7,9,6,3]=>[3,6,9,7,4,1,2,12,5,11,8,10]
[9,10,11,5,12,2,1,4,8,7,6,3]=>[3,6,7,8,4,1,2,12,5,11,10,9]
[12,10,6,7,8,2,1,5,4,3,9,11]=>[11,9,3,4,5,1,2,8,7,6,10,12]
[11,12,6,7,8,2,1,5,4,3,10,9]=>[9,10,3,4,5,1,2,8,7,6,12,11]
[12,9,6,7,10,2,1,5,4,8,3,11]=>[11,3,8,4,5,1,2,10,7,6,9,12]
[11,9,6,7,12,2,1,5,4,8,10,3]=>[3,10,8,4,5,1,2,12,7,6,9,11]
[10,11,6,7,12,2,1,5,4,9,8,3]=>[3,8,9,4,5,1,2,12,7,6,11,10]
[12,8,6,9,10,2,1,5,7,4,3,11]=>[11,3,4,7,5,1,2,10,9,6,8,12]
[11,8,6,9,12,2,1,5,7,4,10,3]=>[3,10,4,7,5,1,2,12,9,6,8,11]
[10,8,6,11,12,2,1,5,7,9,4,3]=>[3,4,9,7,5,1,2,12,11,6,8,10]
[9,10,6,11,12,2,1,5,8,7,4,3]=>[3,4,7,8,5,1,2,12,11,6,10,9]
[12,7,8,9,10,2,1,6,5,4,3,11]=>[11,3,4,5,6,1,2,10,9,8,7,12]
[11,7,8,9,12,2,1,6,5,4,10,3]=>[3,10,4,5,6,1,2,12,9,8,7,11]
[10,7,8,11,12,2,1,6,5,9,4,3]=>[3,4,9,5,6,1,2,12,11,8,7,10]
[9,7,10,11,12,2,1,6,8,5,4,3]=>[3,4,5,8,6,1,2,12,11,10,7,9]
[8,9,10,11,12,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,12,11,10,9,8]
[12,10,8,6,3,4,2,1,5,7,9,11]=>[11,9,7,5,1,2,4,3,6,8,10,12]
[11,12,8,6,3,4,2,1,5,7,10,9]=>[9,10,7,5,1,2,4,3,6,8,12,11]
[12,9,10,6,3,4,2,1,5,8,7,11]=>[11,7,8,5,1,2,4,3,6,10,9,12]
[11,9,12,6,3,4,2,1,5,8,10,7]=>[7,10,8,5,1,2,4,3,6,12,9,11]
[10,11,12,6,3,4,2,1,5,9,8,7]=>[7,8,9,5,1,2,4,3,6,12,11,10]
[12,10,7,8,3,4,2,1,6,5,9,11]=>[11,9,5,6,1,2,4,3,8,7,10,12]
[11,12,7,8,3,4,2,1,6,5,10,9]=>[9,10,5,6,1,2,4,3,8,7,12,11]
[12,9,7,10,3,4,2,1,6,8,5,11]=>[11,5,8,6,1,2,4,3,10,7,9,12]
[11,9,7,12,3,4,2,1,6,8,10,5]=>[5,10,8,6,1,2,4,3,12,7,9,11]
[10,11,7,12,3,4,2,1,6,9,8,5]=>[5,8,9,6,1,2,4,3,12,7,11,10]
[12,8,9,10,3,4,2,1,7,6,5,11]=>[11,5,6,7,1,2,4,3,10,9,8,12]
[11,8,9,12,3,4,2,1,7,6,10,5]=>[5,10,6,7,1,2,4,3,12,9,8,11]
[10,8,11,12,3,4,2,1,7,9,6,5]=>[5,6,9,7,1,2,4,3,12,11,8,10]
[9,10,11,12,3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3,12,11,10,9]
[12,10,8,5,3,6,2,4,1,7,9,11]=>[11,9,7,1,4,2,6,3,5,8,10,12]
[11,12,8,5,3,6,2,4,1,7,10,9]=>[9,10,7,1,4,2,6,3,5,8,12,11]
[12,9,10,5,3,6,2,4,1,8,7,11]=>[11,7,8,1,4,2,6,3,5,10,9,12]
[11,9,12,5,3,6,2,4,1,8,10,7]=>[7,10,8,1,4,2,6,3,5,12,9,11]
[10,11,12,5,3,6,2,4,1,9,8,7]=>[7,8,9,1,4,2,6,3,5,12,11,10]
[12,10,7,5,3,8,2,4,6,1,9,11]=>[11,9,1,6,4,2,8,3,5,7,10,12]
[11,12,7,5,3,8,2,4,6,1,10,9]=>[9,10,1,6,4,2,8,3,5,7,12,11]
[12,9,7,5,3,10,2,4,6,8,1,11]=>[11,1,8,6,4,2,10,3,5,7,9,12]
[11,9,7,5,3,12,2,4,6,8,10,1]=>[1,10,8,6,4,2,12,3,5,7,9,11]
[10,11,7,5,3,12,2,4,6,9,8,1]=>[1,8,9,6,4,2,12,3,5,7,11,10]
[12,8,9,5,3,10,2,4,7,6,1,11]=>[11,1,6,7,4,2,10,3,5,9,8,12]
[11,8,9,5,3,12,2,4,7,6,10,1]=>[1,10,6,7,4,2,12,3,5,9,8,11]
[10,8,11,5,3,12,2,4,7,9,6,1]=>[1,6,9,7,4,2,12,3,5,11,8,10]
[9,10,11,5,3,12,2,4,8,7,6,1]=>[1,6,7,8,4,2,12,3,5,11,10,9]
[12,10,6,7,3,8,2,5,4,1,9,11]=>[11,9,1,4,5,2,8,3,7,6,10,12]
[11,12,6,7,3,8,2,5,4,1,10,9]=>[9,10,1,4,5,2,8,3,7,6,12,11]
[12,9,6,7,3,10,2,5,4,8,1,11]=>[11,1,8,4,5,2,10,3,7,6,9,12]
[11,9,6,7,3,12,2,5,4,8,10,1]=>[1,10,8,4,5,2,12,3,7,6,9,11]
[10,11,6,7,3,12,2,5,4,9,8,1]=>[1,8,9,4,5,2,12,3,7,6,11,10]
[12,8,6,9,3,10,2,5,7,4,1,11]=>[11,1,4,7,5,2,10,3,9,6,8,12]
[11,8,6,9,3,12,2,5,7,4,10,1]=>[1,10,4,7,5,2,12,3,9,6,8,11]
[10,8,6,11,3,12,2,5,7,9,4,1]=>[1,4,9,7,5,2,12,3,11,6,8,10]
[9,10,6,11,3,12,2,5,8,7,4,1]=>[1,4,7,8,5,2,12,3,11,6,10,9]
[12,7,8,9,3,10,2,6,5,4,1,11]=>[11,1,4,5,6,2,10,3,9,8,7,12]
[11,7,8,9,3,12,2,6,5,4,10,1]=>[1,10,4,5,6,2,12,3,9,8,7,11]
[10,7,8,11,3,12,2,6,5,9,4,1]=>[1,4,9,5,6,2,12,3,11,8,7,10]
[9,7,10,11,3,12,2,6,8,5,4,1]=>[1,4,5,8,6,2,12,3,11,10,7,9]
[8,9,10,11,3,12,2,7,6,5,4,1]=>[1,4,5,6,7,2,12,3,11,10,9,8]
[12,10,8,4,5,6,3,2,1,7,9,11]=>[11,9,7,1,2,3,6,5,4,8,10,12]
[11,12,8,4,5,6,3,2,1,7,10,9]=>[9,10,7,1,2,3,6,5,4,8,12,11]
[12,9,10,4,5,6,3,2,1,8,7,11]=>[11,7,8,1,2,3,6,5,4,10,9,12]
[11,9,12,4,5,6,3,2,1,8,10,7]=>[7,10,8,1,2,3,6,5,4,12,9,11]
[10,11,12,4,5,6,3,2,1,9,8,7]=>[7,8,9,1,2,3,6,5,4,12,11,10]
[12,10,7,4,5,8,3,2,6,1,9,11]=>[11,9,1,6,2,3,8,5,4,7,10,12]
[11,12,7,4,5,8,3,2,6,1,10,9]=>[9,10,1,6,2,3,8,5,4,7,12,11]
[12,9,7,4,5,10,3,2,6,8,1,11]=>[11,1,8,6,2,3,10,5,4,7,9,12]
[11,9,7,4,5,12,3,2,6,8,10,1]=>[1,10,8,6,2,3,12,5,4,7,9,11]
[10,11,7,4,5,12,3,2,6,9,8,1]=>[1,8,9,6,2,3,12,5,4,7,11,10]
[12,8,9,4,5,10,3,2,7,6,1,11]=>[11,1,6,7,2,3,10,5,4,9,8,12]
[11,8,9,4,5,12,3,2,7,6,10,1]=>[1,10,6,7,2,3,12,5,4,9,8,11]
[10,8,11,4,5,12,3,2,7,9,6,1]=>[1,6,9,7,2,3,12,5,4,11,8,10]
[9,10,11,4,5,12,3,2,8,7,6,1]=>[1,6,7,8,2,3,12,5,4,11,10,9]
[12,10,6,4,7,8,3,5,2,1,9,11]=>[11,9,1,2,5,3,8,7,4,6,10,12]
[11,12,6,4,7,8,3,5,2,1,10,9]=>[9,10,1,2,5,3,8,7,4,6,12,11]
[12,9,6,4,7,10,3,5,2,8,1,11]=>[11,1,8,2,5,3,10,7,4,6,9,12]
[11,9,6,4,7,12,3,5,2,8,10,1]=>[1,10,8,2,5,3,12,7,4,6,9,11]
[10,11,6,4,7,12,3,5,2,9,8,1]=>[1,8,9,2,5,3,12,7,4,6,11,10]
[12,8,6,4,9,10,3,5,7,2,1,11]=>[11,1,2,7,5,3,10,9,4,6,8,12]
[11,8,6,4,9,12,3,5,7,2,10,1]=>[1,10,2,7,5,3,12,9,4,6,8,11]
[10,8,6,4,11,12,3,5,7,9,2,1]=>[1,2,9,7,5,3,12,11,4,6,8,10]
[9,10,6,4,11,12,3,5,8,7,2,1]=>[1,2,7,8,5,3,12,11,4,6,10,9]
[12,7,8,4,9,10,3,6,5,2,1,11]=>[11,1,2,5,6,3,10,9,4,8,7,12]
[11,7,8,4,9,12,3,6,5,2,10,1]=>[1,10,2,5,6,3,12,9,4,8,7,11]
[10,7,8,4,11,12,3,6,5,9,2,1]=>[1,2,9,5,6,3,12,11,4,8,7,10]
[9,7,10,4,11,12,3,6,8,5,2,1]=>[1,2,5,8,6,3,12,11,4,10,7,9]
[8,9,10,4,11,12,3,7,6,5,2,1]=>[1,2,5,6,7,3,12,11,4,10,9,8]
[12,10,5,6,7,8,4,3,2,1,9,11]=>[11,9,1,2,3,4,8,7,6,5,10,12]
[11,12,5,6,7,8,4,3,2,1,10,9]=>[9,10,1,2,3,4,8,7,6,5,12,11]
[12,9,5,6,7,10,4,3,2,8,1,11]=>[11,1,8,2,3,4,10,7,6,5,9,12]
[11,9,5,6,7,12,4,3,2,8,10,1]=>[1,10,8,2,3,4,12,7,6,5,9,11]
[10,11,5,6,7,12,4,3,2,9,8,1]=>[1,8,9,2,3,4,12,7,6,5,11,10]
[12,8,5,6,9,10,4,3,7,2,1,11]=>[11,1,2,7,3,4,10,9,6,5,8,12]
[11,8,5,6,9,12,4,3,7,2,10,1]=>[1,10,2,7,3,4,12,9,6,5,8,11]
[10,8,5,6,11,12,4,3,7,9,2,1]=>[1,2,9,7,3,4,12,11,6,5,8,10]
[9,10,5,6,11,12,4,3,8,7,2,1]=>[1,2,7,8,3,4,12,11,6,5,10,9]
[12,7,5,8,9,10,4,6,3,2,1,11]=>[11,1,2,3,6,4,10,9,8,5,7,12]
[11,7,5,8,9,12,4,6,3,2,10,1]=>[1,10,2,3,6,4,12,9,8,5,7,11]
[10,7,5,8,11,12,4,6,3,9,2,1]=>[1,2,9,3,6,4,12,11,8,5,7,10]
[9,7,5,10,11,12,4,6,8,3,2,1]=>[1,2,3,8,6,4,12,11,10,5,7,9]
[8,9,5,10,11,12,4,7,6,3,2,1]=>[1,2,3,6,7,4,12,11,10,5,9,8]
[12,6,7,8,9,10,5,4,3,2,1,11]=>[11,1,2,3,4,5,10,9,8,7,6,12]
[11,6,7,8,9,12,5,4,3,2,10,1]=>[1,10,2,3,4,5,12,9,8,7,6,11]
[10,6,7,8,11,12,5,4,3,9,2,1]=>[1,2,9,3,4,5,12,11,8,7,6,10]
[9,6,7,10,11,12,5,4,8,3,2,1]=>[1,2,3,8,4,5,12,11,10,7,6,9]
[8,6,9,10,11,12,5,7,4,3,2,1]=>[1,2,3,4,7,5,12,11,10,9,6,8]
[2,3,4,5,6,7,8,9,12,11,1,10]=>[10,1,11,12,9,8,7,6,5,4,3,2]
[4,3,1,5,6,7,8,9,10,11,12,2]=>[2,12,11,10,9,8,7,6,5,1,3,4]
[12,3,4,5,6,7,8,9,11,1,2,10]=>[10,2,1,11,9,8,7,6,5,4,3,12]
[12,4,1,5,6,7,8,9,10,11,2,3]=>[3,2,11,10,9,8,7,6,5,1,4,12]
[12,11,10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10,11,12]
[12,10,9,8,6,4,2,1,3,5,7,11]=>[11,7,5,3,1,2,4,6,8,9,10,12]
[12,9,11,8,6,4,2,1,3,5,10,7]=>[7,10,5,3,1,2,4,6,8,11,9,12]
[12,11,10,9,8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8,9,10,11,12]
[12,10,8,7,6,4,2,1,3,5,9,11]=>[11,9,5,3,1,2,4,6,7,8,10,12]
[12,11,10,8,7,6,4,2,1,3,5,9]=>[9,5,3,1,2,4,6,7,8,10,11,12]
[12,10,7,9,6,4,2,1,3,8,5,11]=>[11,5,8,3,1,2,4,6,9,7,10,12]
[12,7,11,9,6,4,2,1,3,8,10,5]=>[5,10,8,3,1,2,4,6,9,11,7,12]
[12,11,10,7,9,6,4,2,1,3,8,5]=>[5,8,3,1,2,4,6,9,7,10,11,12]
[12,10,9,8,7,6,4,2,1,3,5,11]=>[11,5,3,1,2,4,6,7,8,9,10,12]
[12,9,11,8,7,6,4,2,1,3,10,5]=>[5,10,3,1,2,4,6,7,8,11,9,12]
[12,8,11,10,7,9,4,2,1,3,6,5]=>[5,6,3,1,2,4,9,7,10,11,8,12]
[12,11,10,9,8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8,9,10,11,12]
[12,10,8,6,5,4,2,1,3,7,9,11]=>[11,9,7,3,1,2,4,5,6,8,10,12]
[12,11,10,8,6,5,4,2,1,3,7,9]=>[9,7,3,1,2,4,5,6,8,10,11,12]
[12,10,9,8,6,5,4,2,1,3,7,11]=>[11,7,3,1,2,4,5,6,8,9,10,12]
[12,9,11,8,6,5,4,2,1,3,10,7]=>[7,10,3,1,2,4,5,6,8,11,9,12]
[12,11,10,9,8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8,9,10,11,12]
[12,10,8,5,7,4,2,1,6,3,9,11]=>[11,9,3,6,1,2,4,7,5,8,10,12]
[12,11,10,8,5,7,4,2,1,6,3,9]=>[9,3,6,1,2,4,7,5,8,10,11,12]
[12,10,5,9,7,4,2,1,6,8,3,11]=>[11,3,8,6,1,2,4,7,9,5,10,12]
[12,5,11,9,7,4,2,1,6,8,10,3]=>[3,10,8,6,1,2,4,7,9,11,5,12]
[12,11,10,5,9,7,4,2,1,6,8,3]=>[3,8,6,1,2,4,7,9,5,10,11,12]
[12,10,9,8,5,7,4,2,1,6,3,11]=>[11,3,6,1,2,4,7,5,8,9,10,12]
[12,9,11,8,5,7,4,2,1,6,10,3]=>[3,10,6,1,2,4,7,5,8,11,9,12]
[12,11,5,10,8,7,4,2,1,9,6,3]=>[3,6,9,1,2,4,7,8,10,5,11,12]
[12,11,10,9,8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8,9,10,11,12]
[12,10,8,7,6,5,4,2,1,3,9,11]=>[11,9,3,1,2,4,5,6,7,8,10,12]
[12,11,10,8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8,10,11,12]
[12,10,7,9,6,5,4,2,1,8,3,11]=>[11,3,8,1,2,4,5,6,9,7,10,12]
[12,7,11,9,6,5,4,2,1,8,10,3]=>[3,10,8,1,2,4,5,6,9,11,7,12]
[12,11,10,7,9,6,5,4,2,1,8,3]=>[3,8,1,2,4,5,6,9,7,10,11,12]
[12,10,6,9,8,5,7,2,1,4,3,11]=>[11,3,4,1,2,7,5,8,9,6,10,12]
[12,6,11,9,8,5,7,2,1,4,10,3]=>[3,10,4,1,2,7,5,8,9,11,6,12]
[12,6,11,8,10,5,7,2,1,9,4,3]=>[3,4,9,1,2,7,5,10,8,11,6,12]
[12,11,10,6,9,8,5,7,2,1,4,3]=>[3,4,1,2,7,5,8,9,6,10,11,12]
[12,10,9,8,7,6,5,4,2,1,3,11]=>[11,3,1,2,4,5,6,7,8,9,10,12]
[12,9,11,8,7,6,5,4,2,1,10,3]=>[3,10,1,2,4,5,6,7,8,11,9,12]
[12,8,11,10,7,6,5,9,2,1,4,3]=>[3,4,1,2,9,5,6,7,10,11,8,12]
[12,7,11,10,9,6,8,5,2,1,4,3]=>[3,4,1,2,5,8,6,9,10,11,7,12]
[12,11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11,12]
[12,10,8,6,4,3,2,1,5,7,9,11]=>[11,9,7,5,1,2,3,4,6,8,10,12]
[12,11,10,8,6,4,3,2,1,5,7,9]=>[9,7,5,1,2,3,4,6,8,10,11,12]
[12,10,9,8,6,4,3,2,1,5,7,11]=>[11,7,5,1,2,3,4,6,8,9,10,12]
[12,9,11,8,6,4,3,2,1,5,10,7]=>[7,10,5,1,2,3,4,6,8,11,9,12]
[12,11,10,9,8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8,9,10,11,12]
[12,10,8,7,6,4,3,2,1,5,9,11]=>[11,9,5,1,2,3,4,6,7,8,10,12]
[12,11,10,8,7,6,4,3,2,1,5,9]=>[9,5,1,2,3,4,6,7,8,10,11,12]
[12,10,7,9,6,4,3,2,1,8,5,11]=>[11,5,8,1,2,3,4,6,9,7,10,12]
[12,7,11,9,6,4,3,2,1,8,10,5]=>[5,10,8,1,2,3,4,6,9,11,7,12]
[12,11,10,7,9,6,4,3,2,1,8,5]=>[5,8,1,2,3,4,6,9,7,10,11,12]
[12,10,9,8,7,6,4,3,2,1,5,11]=>[11,5,1,2,3,4,6,7,8,9,10,12]
[12,9,11,8,7,6,4,3,2,1,10,5]=>[5,10,1,2,3,4,6,7,8,11,9,12]
[12,8,11,10,7,9,4,3,2,1,6,5]=>[5,6,1,2,3,4,9,7,10,11,8,12]
[12,11,10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10,11,12]
[12,10,8,6,3,5,2,4,1,7,9,11]=>[11,9,7,1,4,2,5,3,6,8,10,12]
[12,11,10,8,6,3,5,2,4,1,7,9]=>[9,7,1,4,2,5,3,6,8,10,11,12]
[12,10,9,8,6,3,5,2,4,1,7,11]=>[11,7,1,4,2,5,3,6,8,9,10,12]
[12,9,11,8,6,3,5,2,4,1,10,7]=>[7,10,1,4,2,5,3,6,8,11,9,12]
[12,11,10,9,8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8,9,10,11,12]
[12,10,8,3,7,5,2,4,6,1,9,11]=>[11,9,1,6,4,2,5,7,3,8,10,12]
[12,11,10,8,3,7,5,2,4,6,1,9]=>[9,1,6,4,2,5,7,3,8,10,11,12]
[12,10,3,9,7,5,2,4,6,8,1,11]=>[11,1,8,6,4,2,5,7,9,3,10,12]
[12,3,11,9,7,5,2,4,6,8,10,1]=>[1,10,8,6,4,2,5,7,9,11,3,12]
[12,11,10,3,9,7,5,2,4,6,8,1]=>[1,8,6,4,2,5,7,9,3,10,11,12]
[12,10,9,8,3,7,5,2,4,6,1,11]=>[11,1,6,4,2,5,7,3,8,9,10,12]
[12,9,11,8,3,7,5,2,4,6,10,1]=>[1,10,6,4,2,5,7,3,8,11,9,12]
[12,11,3,10,8,7,5,2,4,9,6,1]=>[1,6,9,4,2,5,7,8,10,3,11,12]
[12,11,10,9,8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8,9,10,11,12]
[12,10,8,7,6,3,5,2,4,1,9,11]=>[11,9,1,4,2,5,3,6,7,8,10,12]
[12,11,10,8,7,6,3,5,2,4,1,9]=>[9,1,4,2,5,3,6,7,8,10,11,12]
[12,10,7,9,6,3,5,2,4,8,1,11]=>[11,1,8,4,2,5,3,6,9,7,10,12]
[12,7,11,9,6,3,5,2,4,8,10,1]=>[1,10,8,4,2,5,3,6,9,11,7,12]
[12,11,10,7,9,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,9,7,10,11,12]
[12,10,9,3,8,6,5,2,7,4,1,11]=>[11,1,4,7,2,5,6,8,3,9,10,12]
[12,9,11,3,8,6,5,2,7,4,10,1]=>[1,10,4,7,2,5,6,8,3,11,9,12]
[12,11,3,8,10,6,5,2,7,9,4,1]=>[1,4,9,7,2,5,6,10,8,3,11,12]
[12,11,10,9,3,8,6,5,2,7,4,1]=>[1,4,7,2,5,6,8,3,9,10,11,12]
[12,10,9,8,7,6,3,5,2,4,1,11]=>[11,1,4,2,5,3,6,7,8,9,10,12]
[12,9,11,8,7,6,3,5,2,4,10,1]=>[1,10,4,2,5,3,6,7,8,11,9,12]
[12,8,11,10,7,6,3,5,2,9,4,1]=>[1,4,9,2,5,3,6,7,10,11,8,12]
[12,11,10,3,9,7,6,8,2,5,4,1]=>[1,4,5,2,8,6,7,9,3,10,11,12]
[12,11,10,9,8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8,9,10,11,12]
[12,10,8,6,5,4,3,2,1,7,9,11]=>[11,9,7,1,2,3,4,5,6,8,10,12]
[12,11,10,8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8,10,11,12]
[12,10,9,8,6,5,4,3,2,1,7,11]=>[11,7,1,2,3,4,5,6,8,9,10,12]
[12,9,11,8,6,5,4,3,2,1,10,7]=>[7,10,1,2,3,4,5,6,8,11,9,12]
[12,11,10,9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9,10,11,12]
[12,10,8,5,7,4,3,2,6,1,9,11]=>[11,9,1,6,2,3,4,7,5,8,10,12]
[12,11,10,8,5,7,4,3,2,6,1,9]=>[9,1,6,2,3,4,7,5,8,10,11,12]
[12,10,5,9,7,4,3,2,6,8,1,11]=>[11,1,8,6,2,3,4,7,9,5,10,12]
[12,5,11,9,7,4,3,2,6,8,10,1]=>[1,10,8,6,2,3,4,7,9,11,5,12]
[12,11,10,5,9,7,4,3,2,6,8,1]=>[1,8,6,2,3,4,7,9,5,10,11,12]
[12,10,9,8,5,7,4,3,2,6,1,11]=>[11,1,6,2,3,4,7,5,8,9,10,12]
[12,9,11,8,5,7,4,3,2,6,10,1]=>[1,10,6,2,3,4,7,5,8,11,9,12]
[12,11,5,10,8,7,4,3,2,9,6,1]=>[1,6,9,2,3,4,7,8,10,5,11,12]
[12,11,10,9,8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8,9,10,11,12]
[12,10,8,4,7,6,3,5,2,1,9,11]=>[11,9,1,2,5,3,6,7,4,8,10,12]
[12,11,10,8,4,7,6,3,5,2,1,9]=>[9,1,2,5,3,6,7,4,8,10,11,12]
[12,10,4,9,7,6,3,5,2,8,1,11]=>[11,1,8,2,5,3,6,7,9,4,10,12]
[12,4,11,9,7,6,3,5,2,8,10,1]=>[1,10,8,2,5,3,6,7,9,11,4,12]
[12,11,10,4,9,7,6,3,5,2,8,1]=>[1,8,2,5,3,6,7,9,4,10,11,12]
[12,10,4,9,6,8,3,5,7,2,1,11]=>[11,1,2,7,5,3,8,6,9,4,10,12]
[12,4,11,9,6,8,3,5,7,2,10,1]=>[1,10,2,7,5,3,8,6,9,11,4,12]
[12,4,11,6,10,8,3,5,7,9,2,1]=>[1,2,9,7,5,3,8,10,6,11,4,12]
[12,11,10,4,9,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,9,4,10,11,12]
[12,10,9,8,4,7,6,3,5,2,1,11]=>[11,1,2,5,3,6,7,4,8,9,10,12]
[12,9,11,8,4,7,6,3,5,2,10,1]=>[1,10,2,5,3,6,7,4,8,11,9,12]
[12,8,11,10,4,7,6,3,5,9,2,1]=>[1,2,9,5,3,6,7,4,10,11,8,12]
[12,11,4,10,7,9,6,3,8,5,2,1]=>[1,2,5,8,3,6,9,7,10,4,11,12]
[12,11,10,9,8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8,9,10,11,12]
[12,10,8,7,6,5,4,3,2,1,9,11]=>[11,9,1,2,3,4,5,6,7,8,10,12]
[12,11,10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10,11,12]
[12,10,7,9,6,5,4,3,2,8,1,11]=>[11,1,8,2,3,4,5,6,9,7,10,12]
[12,7,11,9,6,5,4,3,2,8,10,1]=>[1,10,8,2,3,4,5,6,9,11,7,12]
[12,11,10,7,9,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,9,7,10,11,12]
[12,10,6,9,8,5,4,3,7,2,1,11]=>[11,1,2,7,3,4,5,8,9,6,10,12]
[12,6,11,9,8,5,4,3,7,2,10,1]=>[1,10,2,7,3,4,5,8,9,11,6,12]
[12,6,11,8,10,5,4,3,7,9,2,1]=>[1,2,9,7,3,4,5,10,8,11,6,12]
[12,11,10,6,9,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,9,6,10,11,12]
[12,10,5,9,8,7,4,6,3,2,1,11]=>[11,1,2,3,6,4,7,8,9,5,10,12]
[12,5,11,9,8,7,4,6,3,2,10,1]=>[1,10,2,3,6,4,7,8,9,11,5,12]
[12,5,11,8,10,7,4,6,3,9,2,1]=>[1,2,9,3,6,4,7,10,8,11,5,12]
[12,5,11,7,10,9,4,6,8,3,2,1]=>[1,2,3,8,6,4,9,10,7,11,5,12]
[12,11,10,5,9,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,9,5,10,11,12]
[12,9,11,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,11,9,12]
[12,8,11,10,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,10,11,8,12]
[12,7,11,10,9,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,9,10,11,7,12]
[12,6,11,10,9,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,9,10,11,6,12]
[12,2,1,10,4,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,4,10,1,2,12]
[12,2,1,11,4,3,8,6,5,7,9,10]=>[10,9,7,5,6,8,3,4,11,1,2,12]
[12,2,1,10,4,3,9,6,5,7,8,11]=>[11,8,7,5,6,9,3,4,10,1,2,12]
[12,2,1,11,4,3,9,6,5,7,8,10]=>[10,8,7,5,6,9,3,4,11,1,2,12]
[12,2,1,11,4,3,10,6,5,7,8,9]=>[9,8,7,5,6,10,3,4,11,1,2,12]
[12,2,1,10,4,3,8,5,7,6,9,11]=>[11,9,6,7,5,8,3,4,10,1,2,12]
[12,2,1,11,4,3,8,5,7,6,9,10]=>[10,9,6,7,5,8,3,4,11,1,2,12]
[12,2,1,10,4,3,9,5,7,6,8,11]=>[11,8,6,7,5,9,3,4,10,1,2,12]
[12,2,1,11,4,3,9,5,7,6,8,10]=>[10,8,6,7,5,9,3,4,11,1,2,12]
[12,2,1,11,4,3,10,5,7,6,8,9]=>[9,8,6,7,5,10,3,4,11,1,2,12]
[12,2,1,10,4,3,9,5,8,6,7,11]=>[11,7,6,8,5,9,3,4,10,1,2,12]
[12,2,1,11,4,3,9,5,8,6,7,10]=>[10,7,6,8,5,9,3,4,11,1,2,12]
[12,2,1,11,4,3,10,5,8,6,7,9]=>[9,7,6,8,5,10,3,4,11,1,2,12]
[12,2,1,11,4,3,10,5,9,6,7,8]=>[8,7,6,9,5,10,3,4,11,1,2,12]
[12,2,1,10,3,8,6,5,4,7,9,11]=>[11,9,7,4,5,6,8,3,10,1,2,12]
[12,2,1,11,3,8,6,5,4,7,9,10]=>[10,9,7,4,5,6,8,3,11,1,2,12]
[12,2,1,10,3,9,6,5,4,7,8,11]=>[11,8,7,4,5,6,9,3,10,1,2,12]
[12,2,1,11,3,9,6,5,4,7,8,10]=>[10,8,7,4,5,6,9,3,11,1,2,12]
[12,2,1,11,3,10,6,5,4,7,8,9]=>[9,8,7,4,5,6,10,3,11,1,2,12]
[12,2,1,10,3,8,5,4,7,6,9,11]=>[11,9,6,7,4,5,8,3,10,1,2,12]
[12,2,1,11,3,8,5,4,7,6,9,10]=>[10,9,6,7,4,5,8,3,11,1,2,12]
[12,2,1,10,3,9,5,4,7,6,8,11]=>[11,8,6,7,4,5,9,3,10,1,2,12]
[12,2,1,11,3,9,5,4,7,6,8,10]=>[10,8,6,7,4,5,9,3,11,1,2,12]
[12,2,1,11,3,10,5,4,7,6,8,9]=>[9,8,6,7,4,5,10,3,11,1,2,12]
[12,2,1,10,3,9,5,4,8,6,7,11]=>[11,7,6,8,4,5,9,3,10,1,2,12]
[12,2,1,11,3,9,5,4,8,6,7,10]=>[10,7,6,8,4,5,9,3,11,1,2,12]
[12,2,1,11,3,10,5,4,8,6,7,9]=>[9,7,6,8,4,5,10,3,11,1,2,12]
[12,2,1,11,3,10,5,4,9,6,7,8]=>[8,7,6,9,4,5,10,3,11,1,2,12]
[12,2,1,10,3,8,4,7,6,5,9,11]=>[11,9,5,6,7,4,8,3,10,1,2,12]
[12,2,1,11,3,8,4,7,6,5,9,10]=>[10,9,5,6,7,4,8,3,11,1,2,12]
[12,2,1,10,3,9,4,7,6,5,8,11]=>[11,8,5,6,7,4,9,3,10,1,2,12]
[12,2,1,11,3,9,4,7,6,5,8,10]=>[10,8,5,6,7,4,9,3,11,1,2,12]
[12,2,1,11,3,10,4,7,6,5,8,9]=>[9,8,5,6,7,4,10,3,11,1,2,12]
[12,2,1,10,3,9,4,8,6,5,7,11]=>[11,7,5,6,8,4,9,3,10,1,2,12]
[12,2,1,11,3,9,4,8,6,5,7,10]=>[10,7,5,6,8,4,9,3,11,1,2,12]
[12,2,1,11,3,10,4,8,6,5,7,9]=>[9,7,5,6,8,4,10,3,11,1,2,12]
[12,2,1,11,3,10,4,9,6,5,7,8]=>[8,7,5,6,9,4,10,3,11,1,2,12]
[12,2,1,10,3,9,4,8,5,7,6,11]=>[11,6,7,5,8,4,9,3,10,1,2,12]
[12,2,1,11,3,9,4,8,5,7,6,10]=>[10,6,7,5,8,4,9,3,11,1,2,12]
[12,2,1,11,3,10,4,8,5,7,6,9]=>[9,6,7,5,8,4,10,3,11,1,2,12]
[12,2,1,11,3,10,4,9,5,7,6,8]=>[8,6,7,5,9,4,10,3,11,1,2,12]
[12,2,1,11,3,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,3,11,1,2,12]
[12,1,10,4,3,2,8,6,5,7,9,11]=>[11,9,7,5,6,8,2,3,4,10,1,12]
[12,1,11,4,3,2,8,6,5,7,9,10]=>[10,9,7,5,6,8,2,3,4,11,1,12]
[12,1,10,4,3,2,9,6,5,7,8,11]=>[11,8,7,5,6,9,2,3,4,10,1,12]
[12,1,11,4,3,2,9,6,5,7,8,10]=>[10,8,7,5,6,9,2,3,4,11,1,12]
[12,1,11,4,3,2,10,6,5,7,8,9]=>[9,8,7,5,6,10,2,3,4,11,1,12]
[12,1,10,4,3,2,8,5,7,6,9,11]=>[11,9,6,7,5,8,2,3,4,10,1,12]
[12,1,11,4,3,2,8,5,7,6,9,10]=>[10,9,6,7,5,8,2,3,4,11,1,12]
[12,1,10,4,3,2,9,5,7,6,8,11]=>[11,8,6,7,5,9,2,3,4,10,1,12]
[12,1,11,4,3,2,9,5,7,6,8,10]=>[10,8,6,7,5,9,2,3,4,11,1,12]
[12,1,11,4,3,2,10,5,7,6,8,9]=>[9,8,6,7,5,10,2,3,4,11,1,12]
[12,1,10,4,3,2,9,5,8,6,7,11]=>[11,7,6,8,5,9,2,3,4,10,1,12]
[12,1,11,4,3,2,9,5,8,6,7,10]=>[10,7,6,8,5,9,2,3,4,11,1,12]
[12,1,11,4,3,2,10,5,8,6,7,9]=>[9,7,6,8,5,10,2,3,4,11,1,12]
[12,1,11,4,3,2,10,5,9,6,7,8]=>[8,7,6,9,5,10,2,3,4,11,1,12]
[12,1,10,3,2,8,6,5,4,7,9,11]=>[11,9,7,4,5,6,8,2,3,10,1,12]
[12,1,11,3,2,8,6,5,4,7,9,10]=>[10,9,7,4,5,6,8,2,3,11,1,12]
[12,1,10,3,2,9,6,5,4,7,8,11]=>[11,8,7,4,5,6,9,2,3,10,1,12]
[12,1,11,3,2,9,6,5,4,7,8,10]=>[10,8,7,4,5,6,9,2,3,11,1,12]
[12,1,11,3,2,10,6,5,4,7,8,9]=>[9,8,7,4,5,6,10,2,3,11,1,12]
[12,1,10,3,2,8,5,4,7,6,9,11]=>[11,9,6,7,4,5,8,2,3,10,1,12]
[12,1,11,3,2,8,5,4,7,6,9,10]=>[10,9,6,7,4,5,8,2,3,11,1,12]
[12,1,10,3,2,9,5,4,7,6,8,11]=>[11,8,6,7,4,5,9,2,3,10,1,12]
[12,1,11,3,2,9,5,4,7,6,8,10]=>[10,8,6,7,4,5,9,2,3,11,1,12]
[12,1,11,3,2,10,5,4,7,6,8,9]=>[9,8,6,7,4,5,10,2,3,11,1,12]
[12,1,10,3,2,9,5,4,8,6,7,11]=>[11,7,6,8,4,5,9,2,3,10,1,12]
[12,1,11,3,2,9,5,4,8,6,7,10]=>[10,7,6,8,4,5,9,2,3,11,1,12]
[12,1,11,3,2,10,5,4,8,6,7,9]=>[9,7,6,8,4,5,10,2,3,11,1,12]
[12,1,11,3,2,10,5,4,9,6,7,8]=>[8,7,6,9,4,5,10,2,3,11,1,12]
[12,1,10,3,2,8,4,7,6,5,9,11]=>[11,9,5,6,7,4,8,2,3,10,1,12]
[12,1,11,3,2,8,4,7,6,5,9,10]=>[10,9,5,6,7,4,8,2,3,11,1,12]
[12,1,10,3,2,9,4,7,6,5,8,11]=>[11,8,5,6,7,4,9,2,3,10,1,12]
[12,1,11,3,2,9,4,7,6,5,8,10]=>[10,8,5,6,7,4,9,2,3,11,1,12]
[12,1,11,3,2,10,4,7,6,5,8,9]=>[9,8,5,6,7,4,10,2,3,11,1,12]
[12,1,10,3,2,9,4,8,6,5,7,11]=>[11,7,5,6,8,4,9,2,3,10,1,12]
[12,1,11,3,2,9,4,8,6,5,7,10]=>[10,7,5,6,8,4,9,2,3,11,1,12]
[12,1,11,3,2,10,4,8,6,5,7,9]=>[9,7,5,6,8,4,10,2,3,11,1,12]
[12,1,11,3,2,10,4,9,6,5,7,8]=>[8,7,5,6,9,4,10,2,3,11,1,12]
[12,1,10,3,2,9,4,8,5,7,6,11]=>[11,6,7,5,8,4,9,2,3,10,1,12]
[12,1,11,3,2,9,4,8,5,7,6,10]=>[10,6,7,5,8,4,9,2,3,11,1,12]
[12,1,11,3,2,10,4,8,5,7,6,9]=>[9,6,7,5,8,4,10,2,3,11,1,12]
[12,1,11,3,2,10,4,9,5,7,6,8]=>[8,6,7,5,9,4,10,2,3,11,1,12]
[12,1,11,3,2,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,2,3,11,1,12]
[12,1,10,2,8,6,5,4,3,7,9,11]=>[11,9,7,3,4,5,6,8,2,10,1,12]
[12,1,11,2,8,6,5,4,3,7,9,10]=>[10,9,7,3,4,5,6,8,2,11,1,12]
[12,1,10,2,9,6,5,4,3,7,8,11]=>[11,8,7,3,4,5,6,9,2,10,1,12]
[12,1,11,2,9,6,5,4,3,7,8,10]=>[10,8,7,3,4,5,6,9,2,11,1,12]
[12,1,11,2,10,6,5,4,3,7,8,9]=>[9,8,7,3,4,5,6,10,2,11,1,12]
[12,1,10,2,8,5,4,3,7,6,9,11]=>[11,9,6,7,3,4,5,8,2,10,1,12]
[12,1,11,2,8,5,4,3,7,6,9,10]=>[10,9,6,7,3,4,5,8,2,11,1,12]
[12,1,10,2,9,5,4,3,7,6,8,11]=>[11,8,6,7,3,4,5,9,2,10,1,12]
[12,1,11,2,9,5,4,3,7,6,8,10]=>[10,8,6,7,3,4,5,9,2,11,1,12]
[12,1,11,2,10,5,4,3,7,6,8,9]=>[9,8,6,7,3,4,5,10,2,11,1,12]
[12,1,10,2,9,5,4,3,8,6,7,11]=>[11,7,6,8,3,4,5,9,2,10,1,12]
[12,1,11,2,9,5,4,3,8,6,7,10]=>[10,7,6,8,3,4,5,9,2,11,1,12]
[12,1,11,2,10,5,4,3,8,6,7,9]=>[9,7,6,8,3,4,5,10,2,11,1,12]
[12,1,11,2,10,5,4,3,9,6,7,8]=>[8,7,6,9,3,4,5,10,2,11,1,12]
[12,1,10,2,8,4,3,7,6,5,9,11]=>[11,9,5,6,7,3,4,8,2,10,1,12]
[12,1,11,2,8,4,3,7,6,5,9,10]=>[10,9,5,6,7,3,4,8,2,11,1,12]
[12,1,10,2,9,4,3,7,6,5,8,11]=>[11,8,5,6,7,3,4,9,2,10,1,12]
[12,1,11,2,9,4,3,7,6,5,8,10]=>[10,8,5,6,7,3,4,9,2,11,1,12]
[12,1,11,2,10,4,3,7,6,5,8,9]=>[9,8,5,6,7,3,4,10,2,11,1,12]
[12,1,10,2,9,4,3,8,6,5,7,11]=>[11,7,5,6,8,3,4,9,2,10,1,12]
[12,1,11,2,9,4,3,8,6,5,7,10]=>[10,7,5,6,8,3,4,9,2,11,1,12]
[12,1,11,2,10,4,3,8,6,5,7,9]=>[9,7,5,6,8,3,4,10,2,11,1,12]
[12,1,11,2,10,4,3,9,6,5,7,8]=>[8,7,5,6,9,3,4,10,2,11,1,12]
[12,1,10,2,9,4,3,8,5,7,6,11]=>[11,6,7,5,8,3,4,9,2,10,1,12]
[12,1,11,2,9,4,3,8,5,7,6,10]=>[10,6,7,5,8,3,4,9,2,11,1,12]
[12,1,11,2,10,4,3,8,5,7,6,9]=>[9,6,7,5,8,3,4,10,2,11,1,12]
[12,1,11,2,10,4,3,9,5,7,6,8]=>[8,6,7,5,9,3,4,10,2,11,1,12]
[12,1,11,2,10,4,3,9,5,8,6,7]=>[7,6,8,5,9,3,4,10,2,11,1,12]
[12,1,10,2,8,3,7,6,5,4,9,11]=>[11,9,4,5,6,7,3,8,2,10,1,12]
[12,1,11,2,8,3,7,6,5,4,9,10]=>[10,9,4,5,6,7,3,8,2,11,1,12]
[12,1,10,2,9,3,7,6,5,4,8,11]=>[11,8,4,5,6,7,3,9,2,10,1,12]
[12,1,11,2,9,3,7,6,5,4,8,10]=>[10,8,4,5,6,7,3,9,2,11,1,12]
[12,1,11,2,10,3,7,6,5,4,8,9]=>[9,8,4,5,6,7,3,10,2,11,1,12]
[12,1,10,2,9,3,8,6,5,4,7,11]=>[11,7,4,5,6,8,3,9,2,10,1,12]
[12,1,11,2,9,3,8,6,5,4,7,10]=>[10,7,4,5,6,8,3,9,2,11,1,12]
[12,1,11,2,10,3,8,6,5,4,7,9]=>[9,7,4,5,6,8,3,10,2,11,1,12]
[12,1,11,2,10,3,9,6,5,4,7,8]=>[8,7,4,5,6,9,3,10,2,11,1,12]
[12,1,10,2,9,3,8,5,4,7,6,11]=>[11,6,7,4,5,8,3,9,2,10,1,12]
[12,1,11,2,9,3,8,5,4,7,6,10]=>[10,6,7,4,5,8,3,9,2,11,1,12]
[12,1,11,2,10,3,8,5,4,7,6,9]=>[9,6,7,4,5,8,3,10,2,11,1,12]
[12,1,11,2,10,3,9,5,4,7,6,8]=>[8,6,7,4,5,9,3,10,2,11,1,12]
[12,1,11,2,10,3,9,5,4,8,6,7]=>[7,6,8,4,5,9,3,10,2,11,1,12]
[12,1,10,2,9,3,8,4,7,6,5,11]=>[11,5,6,7,4,8,3,9,2,10,1,12]
[12,1,11,2,9,3,8,4,7,6,5,10]=>[10,5,6,7,4,8,3,9,2,11,1,12]
[12,1,11,2,10,3,8,4,7,6,5,9]=>[9,5,6,7,4,8,3,10,2,11,1,12]
[12,1,11,2,10,3,9,4,7,6,5,8]=>[8,5,6,7,4,9,3,10,2,11,1,12]
[12,1,11,2,10,3,9,4,8,6,5,7]=>[7,5,6,8,4,9,3,10,2,11,1,12]
[12,1,11,2,10,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,10,2,11,1,12]
[3,2,5,4,7,6,9,8,12,1,10,11]=>[11,10,1,12,8,9,6,7,4,5,2,3]
[3,2,5,4,7,6,10,11,9,8,1,12]=>[12,1,8,9,11,10,6,7,4,5,2,3]
[3,2,5,4,7,6,10,12,9,1,8,11]=>[11,8,1,9,12,10,6,7,4,5,2,3]
[3,2,5,4,7,6,11,12,1,8,9,10]=>[10,9,8,1,12,11,6,7,4,5,2,3]
[3,2,5,4,8,9,7,6,11,10,1,12]=>[12,1,10,11,6,7,9,8,4,5,2,3]
[3,2,5,4,8,9,7,6,12,1,10,11]=>[11,10,1,12,6,7,9,8,4,5,2,3]
[3,2,5,4,8,10,7,11,9,6,1,12]=>[12,1,6,9,11,7,10,8,4,5,2,3]
[3,2,5,4,8,10,7,12,9,1,6,11]=>[11,6,1,9,12,7,10,8,4,5,2,3]
[3,2,5,4,8,11,7,12,1,6,9,10]=>[10,9,6,1,12,7,11,8,4,5,2,3]
[3,2,5,4,9,10,11,8,7,6,1,12]=>[12,1,6,7,8,11,10,9,4,5,2,3]
[3,2,5,4,9,10,12,8,7,1,6,11]=>[11,6,1,7,8,12,10,9,4,5,2,3]
[3,2,5,4,9,11,12,8,1,6,7,10]=>[10,7,6,1,8,12,11,9,4,5,2,3]
[3,2,5,4,10,11,12,1,6,7,8,9]=>[9,8,7,6,1,12,11,10,4,5,2,3]
[3,2,6,7,5,4,9,8,11,10,1,12]=>[12,1,10,11,8,9,4,5,7,6,2,3]
[3,2,6,7,5,4,9,8,12,1,10,11]=>[11,10,1,12,8,9,4,5,7,6,2,3]
[3,2,6,7,5,4,10,11,9,8,1,12]=>[12,1,8,9,11,10,4,5,7,6,2,3]
[3,2,6,7,5,4,10,12,9,1,8,11]=>[11,8,1,9,12,10,4,5,7,6,2,3]
[3,2,6,7,5,4,11,12,1,8,9,10]=>[10,9,8,1,12,11,4,5,7,6,2,3]
[3,2,6,8,5,9,7,4,11,10,1,12]=>[12,1,10,11,4,7,9,5,8,6,2,3]
[3,2,6,8,5,9,7,4,12,1,10,11]=>[11,10,1,12,4,7,9,5,8,6,2,3]
[3,2,6,8,5,10,7,11,9,4,1,12]=>[12,1,4,9,11,7,10,5,8,6,2,3]
[3,2,6,8,5,10,7,12,9,1,4,11]=>[11,4,1,9,12,7,10,5,8,6,2,3]
[3,2,6,8,5,11,7,12,1,4,9,10]=>[10,9,4,1,12,7,11,5,8,6,2,3]
[3,2,6,9,5,10,11,8,7,4,1,12]=>[12,1,4,7,8,11,10,5,9,6,2,3]
[3,2,6,9,5,10,12,8,7,1,4,11]=>[11,4,1,7,8,12,10,5,9,6,2,3]
[3,2,6,9,5,11,12,8,1,4,7,10]=>[10,7,4,1,8,12,11,5,9,6,2,3]
[3,2,6,10,5,11,12,1,4,7,8,9]=>[9,8,7,4,1,12,11,5,10,6,2,3]
[3,2,7,8,9,6,5,4,11,10,1,12]=>[12,1,10,11,4,5,6,9,8,7,2,3]
[3,2,7,8,9,6,5,4,12,1,10,11]=>[11,10,1,12,4,5,6,9,8,7,2,3]
[3,2,7,8,10,6,5,11,9,4,1,12]=>[12,1,4,9,11,5,6,10,8,7,2,3]
[3,2,7,8,10,6,5,12,9,1,4,11]=>[11,4,1,9,12,5,6,10,8,7,2,3]
[3,2,7,8,11,6,5,12,1,4,9,10]=>[10,9,4,1,12,5,6,11,8,7,2,3]
[3,2,7,9,10,6,11,8,5,4,1,12]=>[12,1,4,5,8,11,6,10,9,7,2,3]
[3,2,7,9,10,6,12,8,5,1,4,11]=>[11,4,1,5,8,12,6,10,9,7,2,3]
[3,2,7,9,11,6,12,8,1,4,5,10]=>[10,5,4,1,8,12,6,11,9,7,2,3]
[3,2,7,10,11,6,12,1,4,5,8,9]=>[9,8,5,4,1,12,6,11,10,7,2,3]
[3,2,8,9,10,11,7,6,5,4,1,12]=>[12,1,4,5,6,7,11,10,9,8,2,3]
[3,2,8,9,10,12,7,6,5,1,4,11]=>[11,4,1,5,6,7,12,10,9,8,2,3]
[3,2,8,9,11,12,7,6,1,4,5,10]=>[10,5,4,1,6,7,12,11,9,8,2,3]
[3,2,8,10,11,12,7,1,4,5,6,9]=>[9,6,5,4,1,7,12,11,10,8,2,3]
[3,2,9,10,11,12,1,4,5,6,7,8]=>[8,7,6,5,4,1,12,11,10,9,2,3]
[4,5,3,2,7,6,9,8,11,10,1,12]=>[12,1,10,11,8,9,6,7,2,3,5,4]
[4,5,3,2,7,6,9,8,12,1,10,11]=>[11,10,1,12,8,9,6,7,2,3,5,4]
[4,5,3,2,7,6,10,11,9,8,1,12]=>[12,1,8,9,11,10,6,7,2,3,5,4]
[4,5,3,2,7,6,10,12,9,1,8,11]=>[11,8,1,9,12,10,6,7,2,3,5,4]
[4,5,3,2,7,6,11,12,1,8,9,10]=>[10,9,8,1,12,11,6,7,2,3,5,4]
[4,5,3,2,8,9,7,6,11,10,1,12]=>[12,1,10,11,6,7,9,8,2,3,5,4]
[4,5,3,2,8,9,7,6,12,1,10,11]=>[11,10,1,12,6,7,9,8,2,3,5,4]
[4,5,3,2,8,10,7,11,9,6,1,12]=>[12,1,6,9,11,7,10,8,2,3,5,4]
[4,5,3,2,8,10,7,12,9,1,6,11]=>[11,6,1,9,12,7,10,8,2,3,5,4]
[4,5,3,2,8,11,7,12,1,6,9,10]=>[10,9,6,1,12,7,11,8,2,3,5,4]
[4,5,3,2,9,10,11,8,7,6,1,12]=>[12,1,6,7,8,11,10,9,2,3,5,4]
[4,5,3,2,9,10,12,8,7,1,6,11]=>[11,6,1,7,8,12,10,9,2,3,5,4]
[4,5,3,2,9,11,12,8,1,6,7,10]=>[10,7,6,1,8,12,11,9,2,3,5,4]
[4,5,3,2,10,11,12,1,6,7,8,9]=>[9,8,7,6,1,12,11,10,2,3,5,4]
[4,6,3,7,5,2,9,8,11,10,1,12]=>[12,1,10,11,8,9,2,5,7,3,6,4]
[4,6,3,7,5,2,9,8,12,1,10,11]=>[11,10,1,12,8,9,2,5,7,3,6,4]
[4,6,3,7,5,2,10,11,9,8,1,12]=>[12,1,8,9,11,10,2,5,7,3,6,4]
[4,6,3,7,5,2,10,12,9,1,8,11]=>[11,8,1,9,12,10,2,5,7,3,6,4]
[4,6,3,7,5,2,11,12,1,8,9,10]=>[10,9,8,1,12,11,2,5,7,3,6,4]
[4,6,3,8,5,9,7,2,11,10,1,12]=>[12,1,10,11,2,7,9,5,8,3,6,4]
[4,6,3,8,5,9,7,2,12,1,10,11]=>[11,10,1,12,2,7,9,5,8,3,6,4]
[4,6,3,8,5,10,7,11,9,2,1,12]=>[12,1,2,9,11,7,10,5,8,3,6,4]
[4,6,3,8,5,10,7,12,9,1,2,11]=>[11,2,1,9,12,7,10,5,8,3,6,4]
[4,6,3,8,5,11,7,12,1,2,9,10]=>[10,9,2,1,12,7,11,5,8,3,6,4]
[4,6,3,9,5,10,11,8,7,2,1,12]=>[12,1,2,7,8,11,10,5,9,3,6,4]
[4,6,3,9,5,10,12,8,7,1,2,11]=>[11,2,1,7,8,12,10,5,9,3,6,4]
[4,6,3,9,5,11,12,8,1,2,7,10]=>[10,7,2,1,8,12,11,5,9,3,6,4]
[4,6,3,10,5,11,12,1,2,7,8,9]=>[9,8,7,2,1,12,11,5,10,3,6,4]
[4,7,3,8,9,6,5,2,11,10,1,12]=>[12,1,10,11,2,5,6,9,8,3,7,4]
[4,7,3,8,9,6,5,2,12,1,10,11]=>[11,10,1,12,2,5,6,9,8,3,7,4]
[4,7,3,8,10,6,5,11,9,2,1,12]=>[12,1,2,9,11,5,6,10,8,3,7,4]
[4,7,3,8,10,6,5,12,9,1,2,11]=>[11,2,1,9,12,5,6,10,8,3,7,4]
[4,7,3,8,11,6,5,12,1,2,9,10]=>[10,9,2,1,12,5,6,11,8,3,7,4]
[4,7,3,9,10,6,11,8,5,2,1,12]=>[12,1,2,5,8,11,6,10,9,3,7,4]
[4,7,3,9,10,6,12,8,5,1,2,11]=>[11,2,1,5,8,12,6,10,9,3,7,4]
[4,7,3,9,11,6,12,8,1,2,5,10]=>[10,5,2,1,8,12,6,11,9,3,7,4]
[4,7,3,10,11,6,12,1,2,5,8,9]=>[9,8,5,2,1,12,6,11,10,3,7,4]
[4,8,3,9,10,11,7,6,5,2,1,12]=>[12,1,2,5,6,7,11,10,9,3,8,4]
[4,8,3,9,10,12,7,6,5,1,2,11]=>[11,2,1,5,6,7,12,10,9,3,8,4]
[4,8,3,9,11,12,7,6,1,2,5,10]=>[10,5,2,1,6,7,12,11,9,3,8,4]
[4,8,3,10,11,12,7,1,2,5,6,9]=>[9,6,5,2,1,7,12,11,10,3,8,4]
[4,9,3,10,11,12,1,2,5,6,7,8]=>[8,7,6,5,2,1,12,11,10,3,9,4]
[5,6,7,4,3,2,9,8,11,10,1,12]=>[12,1,10,11,8,9,2,3,4,7,6,5]
[5,6,7,4,3,2,9,8,12,1,10,11]=>[11,10,1,12,8,9,2,3,4,7,6,5]
[5,6,7,4,3,2,10,11,9,8,1,12]=>[12,1,8,9,11,10,2,3,4,7,6,5]
[5,6,7,4,3,2,10,12,9,1,8,11]=>[11,8,1,9,12,10,2,3,4,7,6,5]
[5,6,7,4,3,2,11,12,1,8,9,10]=>[10,9,8,1,12,11,2,3,4,7,6,5]
[5,6,8,4,3,9,7,2,11,10,1,12]=>[12,1,10,11,2,7,9,3,4,8,6,5]
[5,6,8,4,3,9,7,2,12,1,10,11]=>[11,10,1,12,2,7,9,3,4,8,6,5]
[5,6,8,4,3,10,7,11,9,2,1,12]=>[12,1,2,9,11,7,10,3,4,8,6,5]
[5,6,8,4,3,10,7,12,9,1,2,11]=>[11,2,1,9,12,7,10,3,4,8,6,5]
[5,6,8,4,3,11,7,12,1,2,9,10]=>[10,9,2,1,12,7,11,3,4,8,6,5]
[5,6,9,4,3,10,11,8,7,2,1,12]=>[12,1,2,7,8,11,10,3,4,9,6,5]
[5,6,9,4,3,10,12,8,7,1,2,11]=>[11,2,1,7,8,12,10,3,4,9,6,5]
[5,6,9,4,3,11,12,8,1,2,7,10]=>[10,7,2,1,8,12,11,3,4,9,6,5]
[5,6,10,4,3,11,12,1,2,7,8,9]=>[9,8,7,2,1,12,11,3,4,10,6,5]
[5,7,8,4,9,6,3,2,11,10,1,12]=>[12,1,10,11,2,3,6,9,4,8,7,5]
[5,7,8,4,9,6,3,2,12,1,10,11]=>[11,10,1,12,2,3,6,9,4,8,7,5]
[5,7,8,4,10,6,3,11,9,2,1,12]=>[12,1,2,9,11,3,6,10,4,8,7,5]
[5,7,8,4,10,6,3,12,9,1,2,11]=>[11,2,1,9,12,3,6,10,4,8,7,5]
[5,7,8,4,11,6,3,12,1,2,9,10]=>[10,9,2,1,12,3,6,11,4,8,7,5]
[5,7,9,4,10,6,11,8,3,2,1,12]=>[12,1,2,3,8,11,6,10,4,9,7,5]
[5,7,9,4,10,6,12,8,3,1,2,11]=>[11,2,1,3,8,12,6,10,4,9,7,5]
[5,7,9,4,11,6,12,8,1,2,3,10]=>[10,3,2,1,8,12,6,11,4,9,7,5]
[5,7,10,4,11,6,12,1,2,3,8,9]=>[9,8,3,2,1,12,6,11,4,10,7,5]
[5,8,9,4,10,11,7,6,3,2,1,12]=>[12,1,2,3,6,7,11,10,4,9,8,5]
[5,8,9,4,10,12,7,6,3,1,2,11]=>[11,2,1,3,6,7,12,10,4,9,8,5]
[5,8,9,4,11,12,7,6,1,2,3,10]=>[10,3,2,1,6,7,12,11,4,9,8,5]
[5,8,10,4,11,12,7,1,2,3,6,9]=>[9,6,3,2,1,7,12,11,4,10,8,5]
[5,9,10,4,11,12,1,2,3,6,7,8]=>[8,7,6,3,2,1,12,11,4,10,9,5]
[6,7,8,9,5,4,3,2,11,10,1,12]=>[12,1,10,11,2,3,4,5,9,8,7,6]
[6,7,8,9,5,4,3,2,12,1,10,11]=>[11,10,1,12,2,3,4,5,9,8,7,6]
[6,7,8,10,5,4,3,11,9,2,1,12]=>[12,1,2,9,11,3,4,5,10,8,7,6]
[6,7,8,10,5,4,3,12,9,1,2,11]=>[11,2,1,9,12,3,4,5,10,8,7,6]
[6,7,8,11,5,4,3,12,1,2,9,10]=>[10,9,2,1,12,3,4,5,11,8,7,6]
[6,7,9,10,5,4,11,8,3,2,1,12]=>[12,1,2,3,8,11,4,5,10,9,7,6]
[6,7,9,10,5,4,12,8,3,1,2,11]=>[11,2,1,3,8,12,4,5,10,9,7,6]
[6,7,9,11,5,4,12,8,1,2,3,10]=>[10,3,2,1,8,12,4,5,11,9,7,6]
[6,7,10,11,5,4,12,1,2,3,8,9]=>[9,8,3,2,1,12,4,5,11,10,7,6]
[6,8,9,10,5,11,7,4,3,2,1,12]=>[12,1,2,3,4,7,11,5,10,9,8,6]
[6,8,9,10,5,12,7,4,3,1,2,11]=>[11,2,1,3,4,7,12,5,10,9,8,6]
[6,8,9,11,5,12,7,4,1,2,3,10]=>[10,3,2,1,4,7,12,5,11,9,8,6]
[6,8,10,11,5,12,7,1,2,3,4,9]=>[9,4,3,2,1,7,12,5,11,10,8,6]
[6,9,10,11,5,12,1,2,3,4,7,8]=>[8,7,4,3,2,1,12,5,11,10,9,6]
[7,8,9,10,11,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,11,10,9,8,7]
[7,8,9,10,12,6,5,4,3,1,2,11]=>[11,2,1,3,4,5,6,12,10,9,8,7]
[7,8,9,11,12,6,5,4,1,2,3,10]=>[10,3,2,1,4,5,6,12,11,9,8,7]
[7,8,10,11,12,6,5,1,2,3,4,9]=>[9,4,3,2,1,5,6,12,11,10,8,7]
[7,9,10,11,12,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,12,11,10,9,7]
[7,8,3,4,9,10,1,2,5,6,11,12]=>[12,11,6,5,2,1,10,9,4,3,8,7]
[10,7,5,11,3,8,2,6,12,1,4,9]=>[9,4,1,12,6,2,8,3,11,5,7,10]
[1,2,4,8,3,6,12,11,9,5,10,7]=>[7,10,5,9,11,12,6,3,8,4,2,1]
[1,2,4,8,3,6,12,10,7,5,11,9]=>[9,11,5,7,10,12,6,3,8,4,2,1]
[1,2,4,9,5,10,7,3,6,12,11,8]=>[8,11,12,6,3,7,10,5,9,4,2,1]
[1,2,4,9,5,11,8,3,6,12,10,7]=>[7,10,12,6,3,8,11,5,9,4,2,1]
[1,2,4,10,7,3,6,12,9,5,11,8]=>[8,11,5,9,12,6,3,7,10,4,2,1]
[1,2,4,8,3,7,5,10,6,12,11,9]=>[9,11,12,6,10,5,7,3,8,4,2,1]
[1,2,4,8,3,7,5,11,9,6,12,10]=>[10,12,6,9,11,5,7,3,8,4,2,1]
[1,2,4,9,5,10,6,12,11,8,3,7]=>[7,3,8,11,12,6,10,5,9,4,2,1]
[1,2,4,9,5,11,8,3,7,6,12,10]=>[10,12,6,7,3,8,11,5,9,4,2,1]
[1,2,4,10,6,12,9,5,11,8,3,7]=>[7,3,8,11,5,9,12,6,10,4,2,1]
[1,2,4,9,5,10,6,12,11,7,3,8]=>[8,3,7,11,12,6,10,5,9,4,2,1]
[1,2,4,9,5,11,7,3,8,6,12,10]=>[10,12,6,8,3,7,11,5,9,4,2,1]
[1,2,4,10,6,12,9,5,11,7,3,8]=>[8,3,7,11,5,9,12,6,10,4,2,1]
[1,2,4,10,6,12,8,3,9,5,11,7]=>[7,11,5,9,3,8,12,6,10,4,2,1]
[1,2,5,10,7,3,6,12,11,9,4,8]=>[8,4,9,11,12,6,3,7,10,5,2,1]
[1,2,5,11,9,4,8,3,6,12,10,7]=>[7,10,12,6,3,8,4,9,11,5,2,1]
[1,2,5,10,7,3,6,12,11,8,4,9]=>[9,4,8,11,12,6,3,7,10,5,2,1]
[1,2,5,11,8,3,6,12,10,7,4,9]=>[9,4,7,10,12,6,3,8,11,5,2,1]
[1,2,5,11,8,3,6,12,9,4,10,7]=>[7,10,4,9,12,6,3,8,11,5,2,1]
[1,2,5,10,6,12,11,9,4,8,3,7]=>[7,3,8,4,9,11,12,6,10,5,2,1]
[1,2,5,11,9,4,8,3,7,6,12,10]=>[10,12,6,7,3,8,4,9,11,5,2,1]
[1,2,5,10,6,12,11,8,3,7,4,9]=>[9,4,7,3,8,11,12,6,10,5,2,1]
[1,2,5,11,8,3,7,4,9,6,12,10]=>[10,12,6,9,4,7,3,8,11,5,2,1]
[1,2,5,11,8,3,7,4,10,6,12,9]=>[9,12,6,10,4,7,3,8,11,5,2,1]
[1,2,5,10,6,12,11,7,3,8,4,9]=>[9,4,8,3,7,11,12,6,10,5,2,1]
[1,2,5,11,7,3,8,4,9,6,12,10]=>[10,12,6,9,4,8,3,7,11,5,2,1]
[1,2,5,11,7,3,8,4,10,6,12,9]=>[9,12,6,10,4,8,3,7,11,5,2,1]
[1,2,5,11,7,3,9,4,10,6,12,8]=>[8,12,6,10,4,9,3,7,11,5,2,1]
[1,2,6,12,11,9,4,8,3,7,5,10]=>[10,5,7,3,8,4,9,11,12,6,2,1]
[1,2,6,12,10,5,11,9,4,8,3,7]=>[7,3,8,4,9,11,5,10,12,6,2,1]
[1,2,6,12,11,8,3,7,4,9,5,10]=>[10,5,9,4,7,3,8,11,12,6,2,1]
[1,2,6,12,10,5,11,8,3,7,4,9]=>[9,4,7,3,8,11,5,10,12,6,2,1]
[1,2,6,12,9,4,10,5,11,8,3,7]=>[7,3,8,11,5,10,4,9,12,6,2,1]
[1,2,6,12,11,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,11,12,6,2,1]
[1,2,6,12,10,5,11,7,3,8,4,9]=>[9,4,8,3,7,11,5,10,12,6,2,1]
[1,2,6,12,9,4,10,5,11,7,3,8]=>[8,3,7,11,5,10,4,9,12,6,2,1]
[1,2,6,12,8,3,9,4,10,5,11,7]=>[7,11,5,10,4,9,3,8,12,6,2,1]
[1,2,7,3,8,4,9,5,10,6,12,11]=>[11,12,6,10,5,9,4,8,3,7,2,1]
[1,2,7,3,8,4,9,5,11,6,12,10]=>[10,12,6,11,5,9,4,8,3,7,2,1]
[1,2,7,3,8,4,10,5,11,6,12,9]=>[9,12,6,11,5,10,4,8,3,7,2,1]
[1,2,7,3,9,4,10,5,11,6,12,8]=>[8,12,6,11,5,10,4,9,3,7,2,1]
[1,2,8,3,9,4,10,5,11,6,12,7]=>[7,12,6,11,5,10,4,9,3,8,2,1]
[1,3,6,12,11,9,5,10,7,2,4,8]=>[8,4,2,7,10,5,9,11,12,6,3,1]
[1,3,6,12,10,7,2,4,8,5,11,9]=>[9,11,5,8,4,2,7,10,12,6,3,1]
[1,3,6,12,11,8,2,4,9,5,10,7]=>[7,10,5,9,4,2,8,11,12,6,3,1]
[1,3,6,12,10,7,2,4,9,5,11,8]=>[8,11,5,9,4,2,7,10,12,6,3,1]
[1,3,6,12,9,5,11,8,2,4,10,7]=>[7,10,4,2,8,11,5,9,12,6,3,1]
[1,3,7,2,4,8,5,10,6,12,11,9]=>[9,11,12,6,10,5,8,4,2,7,3,1]
[1,3,7,2,4,8,5,11,9,6,12,10]=>[10,12,6,9,11,5,8,4,2,7,3,1]
[1,3,7,2,4,9,5,10,6,12,11,8]=>[8,11,12,6,10,5,9,4,2,7,3,1]
[1,3,7,2,4,9,5,11,8,6,12,10]=>[10,12,6,8,11,5,9,4,2,7,3,1]
[1,3,7,2,4,10,6,12,9,5,11,8]=>[8,11,5,9,12,6,10,4,2,7,3,1]
[1,3,8,2,4,9,5,10,6,12,11,7]=>[7,11,12,6,10,5,9,4,2,8,3,1]
[1,3,8,2,4,9,5,11,7,6,12,10]=>[10,12,6,7,11,5,9,4,2,8,3,1]
[1,3,8,2,4,10,6,12,9,5,11,7]=>[7,11,5,9,12,6,10,4,2,8,3,1]
[1,3,9,5,11,7,2,4,10,6,12,8]=>[8,12,6,10,4,2,7,11,5,9,3,1]
[1,3,6,12,11,9,4,8,2,5,10,7]=>[7,10,5,2,8,4,9,11,12,6,3,1]
[1,3,6,12,10,7,2,5,11,9,4,8]=>[8,4,9,11,5,2,7,10,12,6,3,1]
[1,3,6,12,11,8,2,5,10,7,4,9]=>[9,4,7,10,5,2,8,11,12,6,3,1]
[1,3,6,12,10,7,2,5,11,8,4,9]=>[9,4,8,11,5,2,7,10,12,6,3,1]
[1,3,6,12,9,4,10,7,2,5,11,8]=>[8,11,5,2,7,10,4,9,12,6,3,1]
[1,3,7,2,5,10,6,12,11,9,4,8]=>[8,4,9,11,12,6,10,5,2,7,3,1]
[1,3,7,2,5,11,9,4,8,6,12,10]=>[10,12,6,8,4,9,11,5,2,7,3,1]
[1,3,7,2,5,10,6,12,11,8,4,9]=>[9,4,8,11,12,6,10,5,2,7,3,1]
[1,3,7,2,5,11,8,4,9,6,12,10]=>[10,12,6,9,4,8,11,5,2,7,3,1]
[1,3,7,2,5,11,8,4,10,6,12,9]=>[9,12,6,10,4,8,11,5,2,7,3,1]
[1,3,8,2,5,10,6,12,11,7,4,9]=>[9,4,7,11,12,6,10,5,2,8,3,1]
[1,3,8,2,5,11,7,4,9,6,12,10]=>[10,12,6,9,4,7,11,5,2,8,3,1]
[1,3,8,2,5,11,7,4,10,6,12,9]=>[9,12,6,10,4,7,11,5,2,8,3,1]
[1,3,9,4,10,6,12,8,2,5,11,7]=>[7,11,5,2,8,12,6,10,4,9,3,1]
[1,3,7,2,6,12,11,9,4,8,5,10]=>[10,5,8,4,9,11,12,6,2,7,3,1]
[1,3,7,2,6,12,10,5,11,9,4,8]=>[8,4,9,11,5,10,12,6,2,7,3,1]
[1,3,7,2,6,12,11,8,4,9,5,10]=>[10,5,9,4,8,11,12,6,2,7,3,1]
[1,3,7,2,6,12,10,5,11,8,4,9]=>[9,4,8,11,5,10,12,6,2,7,3,1]
[1,3,7,2,6,12,9,4,10,5,11,8]=>[8,11,5,10,4,9,12,6,2,7,3,1]
[1,3,8,2,6,12,11,7,4,9,5,10]=>[10,5,9,4,7,11,12,6,2,8,3,1]
[1,3,8,2,6,12,10,5,11,7,4,9]=>[9,4,7,11,5,10,12,6,2,8,3,1]
[1,3,8,2,6,12,9,4,10,5,11,7]=>[7,11,5,10,4,9,12,6,2,8,3,1]
[1,3,9,4,10,5,11,7,2,6,12,8]=>[8,12,6,2,7,11,5,10,4,9,3,1]
[1,3,8,2,7,4,9,5,10,6,12,11]=>[11,12,6,10,5,9,4,7,2,8,3,1]
[1,3,8,2,7,4,9,5,11,6,12,10]=>[10,12,6,11,5,9,4,7,2,8,3,1]
[1,3,8,2,7,4,10,5,11,6,12,9]=>[9,12,6,11,5,10,4,7,2,8,3,1]
[1,3,9,4,10,5,11,6,12,8,2,7]=>[7,2,8,12,6,11,5,10,4,9,3,1]
[1,3,9,4,10,5,11,6,12,7,2,8]=>[8,2,7,12,6,11,5,10,4,9,3,1]
[1,4,8,2,5,10,7,3,6,12,11,9]=>[9,11,12,6,3,7,10,5,2,8,4,1]
[1,4,8,2,5,11,9,3,6,12,10,7]=>[7,10,12,6,3,9,11,5,2,8,4,1]
[1,4,9,3,6,12,11,8,2,5,10,7]=>[7,10,5,2,8,11,12,6,3,9,4,1]
[1,4,9,3,6,12,10,7,2,5,11,8]=>[8,11,5,2,7,10,12,6,3,9,4,1]
[1,4,10,7,2,5,11,8,3,6,12,9]=>[9,12,6,3,8,11,5,2,7,10,4,1]
[1,4,8,2,5,10,6,12,11,9,3,7]=>[7,3,9,11,12,6,10,5,2,8,4,1]
[1,4,8,2,5,11,9,3,7,6,12,10]=>[10,12,6,7,3,9,11,5,2,8,4,1]
[1,4,9,3,7,2,5,10,6,12,11,8]=>[8,11,12,6,10,5,2,7,3,9,4,1]
[1,4,9,3,7,2,5,11,8,6,12,10]=>[10,12,6,8,11,5,2,7,3,9,4,1]
[1,4,10,6,12,9,3,7,2,5,11,8]=>[8,11,5,2,7,3,9,12,6,10,4,1]
[1,4,9,3,8,2,5,10,6,12,11,7]=>[7,11,12,6,10,5,2,8,3,9,4,1]
[1,4,9,3,8,2,5,11,7,6,12,10]=>[10,12,6,7,11,5,2,8,3,9,4,1]
[1,4,10,6,12,9,3,8,2,5,11,7]=>[7,11,5,2,8,3,9,12,6,10,4,1]
[1,4,10,6,12,8,2,5,11,7,3,9]=>[9,3,7,11,5,2,8,12,6,10,4,1]
[1,4,8,2,6,12,11,9,3,7,5,10]=>[10,5,7,3,9,11,12,6,2,8,4,1]
[1,4,8,2,6,12,10,5,11,9,3,7]=>[7,3,9,11,5,10,12,6,2,8,4,1]
[1,4,9,3,7,2,6,12,11,8,5,10]=>[10,5,8,11,12,6,2,7,3,9,4,1]
[1,4,9,3,7,2,6,12,10,5,11,8]=>[8,11,5,10,12,6,2,7,3,9,4,1]
[1,4,10,5,11,8,2,6,12,9,3,7]=>[7,3,9,12,6,2,8,11,5,10,4,1]
[1,4,9,3,8,2,6,12,11,7,5,10]=>[10,5,7,11,12,6,2,8,3,9,4,1]
[1,4,9,3,8,2,6,12,10,5,11,7]=>[7,11,5,10,12,6,2,8,3,9,4,1]
[1,4,10,5,11,7,2,6,12,9,3,8]=>[8,3,9,12,6,2,7,11,5,10,4,1]
[1,4,10,5,11,7,2,6,12,8,3,9]=>[9,3,8,12,6,2,7,11,5,10,4,1]
[1,4,9,3,8,2,7,5,10,6,12,11]=>[11,12,6,10,5,7,2,8,3,9,4,1]
[1,4,9,3,8,2,7,5,11,6,12,10]=>[10,12,6,11,5,7,2,8,3,9,4,1]
[1,4,10,5,11,6,12,9,3,8,2,7]=>[7,2,8,3,9,12,6,11,5,10,4,1]
[1,4,10,5,11,6,12,8,2,7,3,9]=>[9,3,7,2,8,12,6,11,5,10,4,1]
[1,4,10,5,11,6,12,7,2,8,3,9]=>[9,3,8,2,7,12,6,11,5,10,4,1]
[1,5,10,4,8,2,6,12,11,9,3,7]=>[7,3,9,11,12,6,2,8,4,10,5,1]
[1,5,11,9,3,7,2,6,12,10,4,8]=>[8,4,10,12,6,2,7,3,9,11,5,1]
[1,5,10,4,9,3,7,2,6,12,11,8]=>[8,11,12,6,2,7,3,9,4,10,5,1]
[1,5,11,8,2,6,12,10,4,9,3,7]=>[7,3,9,4,10,12,6,2,8,11,5,1]
[1,5,11,8,2,6,12,9,3,7,4,10]=>[10,4,7,3,9,12,6,2,8,11,5,1]
[1,5,10,4,9,3,8,2,6,12,11,7]=>[7,11,12,6,2,8,3,9,4,10,5,1]
[1,5,11,7,2,6,12,10,4,9,3,8]=>[8,3,9,4,10,12,6,2,7,11,5,1]
[1,5,11,7,2,6,12,9,3,8,4,10]=>[10,4,8,3,9,12,6,2,7,11,5,1]
[1,5,11,7,2,6,12,8,3,9,4,10]=>[10,4,9,3,8,12,6,2,7,11,5,1]
[1,5,10,4,9,3,8,2,7,6,12,11]=>[11,12,6,7,2,8,3,9,4,10,5,1]
[1,5,11,6,12,10,4,9,3,8,2,7]=>[7,2,8,3,9,4,10,12,6,11,5,1]
[1,5,11,6,12,9,3,8,2,7,4,10]=>[10,4,7,2,8,3,9,12,6,11,5,1]
[1,5,11,6,12,8,2,7,3,9,4,10]=>[10,4,9,3,7,2,8,12,6,11,5,1]
[1,5,11,6,12,7,2,8,3,9,4,10]=>[10,4,9,3,8,2,7,12,6,11,5,1]
[1,6,12,11,5,10,4,9,3,8,2,7]=>[7,2,8,3,9,4,10,5,11,12,6,1]
[1,6,12,10,4,9,3,8,2,7,5,11]=>[11,5,7,2,8,3,9,4,10,12,6,1]
[1,6,12,9,3,8,2,7,4,10,5,11]=>[11,5,10,4,7,2,8,3,9,12,6,1]
[1,6,12,8,2,7,3,9,4,10,5,11]=>[11,5,10,4,9,3,7,2,8,12,6,1]
[1,6,12,7,2,8,3,9,4,10,5,11]=>[11,5,10,4,9,3,8,2,7,12,6,1]
[1,7,2,8,3,9,4,10,5,11,6,12]=>[12,6,11,5,10,4,9,3,8,2,7,1]
[3,12,2,1,11,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,11,1,2,12,3]
[3,12,2,11,10,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,10,11,2,12,3]
[3,12,2,11,10,9,8,1,7,6,5,4]=>[4,5,6,7,1,8,9,10,11,2,12,3]
[3,12,2,11,10,9,8,7,6,1,5,4]=>[4,5,1,6,7,8,9,10,11,2,12,3]
[3,12,2,11,10,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,10,11,2,12,3]
[4,12,11,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,11,12,4]
[4,12,11,3,2,10,9,1,8,7,6,5]=>[5,6,7,8,1,9,10,2,3,11,12,4]
[4,12,11,3,2,10,9,8,7,1,6,5]=>[5,6,1,7,8,9,10,2,3,11,12,4]
[4,12,11,3,2,10,9,8,7,6,5,1]=>[1,5,6,7,8,9,10,2,3,11,12,4]
[4,12,11,3,10,9,2,1,8,7,6,5]=>[5,6,7,8,1,2,9,10,3,11,12,4]
[4,12,11,3,10,9,2,8,7,1,6,5]=>[5,6,1,7,8,2,9,10,3,11,12,4]
[4,12,11,3,10,9,2,8,7,6,5,1]=>[1,5,6,7,8,2,9,10,3,11,12,4]
[4,12,11,3,10,9,8,7,2,1,6,5]=>[5,6,1,2,7,8,9,10,3,11,12,4]
[4,12,11,3,10,9,8,7,2,6,5,1]=>[1,5,6,2,7,8,9,10,3,11,12,4]
[4,12,11,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,11,12,4]
[5,12,11,10,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,10,11,12,5]
[5,12,11,10,4,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,4,10,11,12,5]
[5,12,11,10,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,10,11,12,5]
[5,12,11,10,4,3,9,8,2,1,7,6]=>[6,7,1,2,8,9,3,4,10,11,12,5]
[5,12,11,10,4,3,9,8,2,7,6,1]=>[1,6,7,2,8,9,3,4,10,11,12,5]
[5,12,11,10,4,3,9,8,7,6,2,1]=>[1,2,6,7,8,9,3,4,10,11,12,5]
[5,12,11,10,4,9,8,3,2,1,7,6]=>[6,7,1,2,3,8,9,4,10,11,12,5]
[5,12,11,10,4,9,8,3,2,7,6,1]=>[1,6,7,2,3,8,9,4,10,11,12,5]
[5,12,11,10,4,9,8,3,7,6,2,1]=>[1,2,6,7,3,8,9,4,10,11,12,5]
[5,12,11,10,4,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,4,10,11,12,5]
[6,12,11,10,9,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,9,10,11,12,6]
[6,12,11,10,9,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,9,10,11,12,6]
[6,12,11,10,9,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,9,10,11,12,6]
[6,12,11,10,9,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,9,10,11,12,6]
[6,12,11,10,9,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,9,10,11,12,6]
[7,12,11,10,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,10,11,12,7]
[6,3,2,12,11,1,10,9,8,7,5,4]=>[4,5,7,8,9,10,1,11,12,2,3,6]
[8,3,2,12,11,10,9,1,7,6,5,4]=>[4,5,6,7,1,9,10,11,12,2,3,8]
[10,3,2,12,11,9,8,7,6,1,5,4]=>[4,5,1,6,7,8,9,11,12,2,3,10]
[8,5,4,3,2,12,11,1,10,9,7,6]=>[6,7,9,10,1,11,12,2,3,4,5,8]
[10,5,4,3,2,12,11,9,8,1,7,6]=>[6,7,1,8,9,11,12,2,3,4,5,10]
[8,7,4,3,12,11,2,1,10,9,6,5]=>[5,6,9,10,1,2,11,12,3,4,7,8]
[10,7,4,3,12,11,2,9,8,1,6,5]=>[5,6,1,8,9,2,11,12,3,4,7,10]
[12,7,4,3,11,10,2,9,8,6,5,1]=>[1,5,6,8,9,2,10,11,3,4,7,12]
[10,9,4,3,12,11,8,7,2,1,6,5]=>[5,6,1,2,7,8,11,12,3,4,9,10]
[12,9,4,3,11,10,8,7,2,6,5,1]=>[1,5,6,2,7,8,10,11,3,4,9,12]
[10,7,6,5,4,3,2,12,11,1,9,8]=>[8,9,1,11,12,2,3,4,5,6,7,10]
[10,9,6,5,4,3,12,11,2,1,8,7]=>[7,8,1,2,11,12,3,4,5,6,9,10]
[12,9,6,5,4,3,11,10,2,8,7,1]=>[1,7,8,2,10,11,3,4,5,6,9,12]
[10,9,8,5,4,12,11,3,2,1,7,6]=>[6,7,1,2,3,11,12,4,5,8,9,10]
[12,9,8,5,4,11,10,3,2,7,6,1]=>[1,6,7,2,3,10,11,4,5,8,9,12]
[12,11,8,5,4,10,9,3,7,6,2,1]=>[1,2,6,7,3,9,10,4,5,8,11,12]
[8,9,10,11,7,1,2,3,4,5,12,6]=>[6,12,5,4,3,2,1,7,11,10,9,8]
[2,9,10,11,12,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,12,11,10,9,2]
[10,11,9,12,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,12,9,11,10]
[11,12,8,9,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,9,8,12,11]
[10,11,8,9,7,12,5,6,3,4,1,2]=>[2,1,4,3,6,5,12,7,9,8,11,10]
[9,10,8,11,7,12,5,6,3,4,1,2]=>[2,1,4,3,6,5,12,7,11,8,10,9]
[11,12,9,10,6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6,10,9,12,11]
[10,11,9,12,6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6,12,9,11,10]
[11,12,8,9,6,7,5,10,3,4,1,2]=>[2,1,4,3,10,5,7,6,9,8,12,11]
[11,12,7,8,6,9,5,10,3,4,1,2]=>[2,1,4,3,10,5,9,6,8,7,12,11]
[10,11,8,9,6,7,5,12,3,4,1,2]=>[2,1,4,3,12,5,7,6,9,8,11,10]
[9,10,8,11,6,7,5,12,3,4,1,2]=>[2,1,4,3,12,5,7,6,11,8,10,9]
[10,11,7,8,6,9,5,12,3,4,1,2]=>[2,1,4,3,12,5,9,6,8,7,11,10]
[9,10,7,8,6,11,5,12,3,4,1,2]=>[2,1,4,3,12,5,11,6,8,7,10,9]
[8,9,7,10,6,11,5,12,3,4,1,2]=>[2,1,4,3,12,5,11,6,10,7,9,8]
[11,12,9,10,7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7,10,9,12,11]
[10,11,9,12,7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7,12,9,11,10]
[11,12,8,9,7,10,4,5,3,6,1,2]=>[2,1,6,3,5,4,10,7,9,8,12,11]
[10,11,8,9,7,12,4,5,3,6,1,2]=>[2,1,6,3,5,4,12,7,9,8,11,10]
[9,10,8,11,7,12,4,5,3,6,1,2]=>[2,1,6,3,5,4,12,7,11,8,10,9]
[11,12,9,10,6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6,10,9,12,11]
[10,11,9,12,6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6,12,9,11,10]
[11,12,9,10,5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5,10,9,12,11]
[10,11,9,12,5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5,12,9,11,10]
[11,12,8,9,6,7,4,5,3,10,1,2]=>[2,1,10,3,5,4,7,6,9,8,12,11]
[11,12,7,8,6,9,4,5,3,10,1,2]=>[2,1,10,3,5,4,9,6,8,7,12,11]
[11,12,8,9,5,6,4,7,3,10,1,2]=>[2,1,10,3,7,4,6,5,9,8,12,11]
[11,12,7,8,5,6,4,9,3,10,1,2]=>[2,1,10,3,9,4,6,5,8,7,12,11]
[11,12,6,7,5,8,4,9,3,10,1,2]=>[2,1,10,3,9,4,8,5,7,6,12,11]
[10,11,8,9,6,7,4,5,3,12,1,2]=>[2,1,12,3,5,4,7,6,9,8,11,10]
[9,10,8,11,6,7,4,5,3,12,1,2]=>[2,1,12,3,5,4,7,6,11,8,10,9]
[10,11,7,8,6,9,4,5,3,12,1,2]=>[2,1,12,3,5,4,9,6,8,7,11,10]
[9,10,7,8,6,11,4,5,3,12,1,2]=>[2,1,12,3,5,4,11,6,8,7,10,9]
[8,9,7,10,6,11,4,5,3,12,1,2]=>[2,1,12,3,5,4,11,6,10,7,9,8]
[10,11,8,9,5,6,4,7,3,12,1,2]=>[2,1,12,3,7,4,6,5,9,8,11,10]
[9,10,8,11,5,6,4,7,3,12,1,2]=>[2,1,12,3,7,4,6,5,11,8,10,9]
[10,11,7,8,5,6,4,9,3,12,1,2]=>[2,1,12,3,9,4,6,5,8,7,11,10]
[10,11,6,7,5,8,4,9,3,12,1,2]=>[2,1,12,3,9,4,8,5,7,6,11,10]
[9,10,7,8,5,6,4,11,3,12,1,2]=>[2,1,12,3,11,4,6,5,8,7,10,9]
[8,9,7,10,5,6,4,11,3,12,1,2]=>[2,1,12,3,11,4,6,5,10,7,9,8]
[9,10,6,7,5,8,4,11,3,12,1,2]=>[2,1,12,3,11,4,8,5,7,6,10,9]
[8,9,6,7,5,10,4,11,3,12,1,2]=>[2,1,12,3,11,4,10,5,7,6,9,8]
[7,8,6,9,5,10,4,11,3,12,1,2]=>[2,1,12,3,11,4,10,5,9,6,8,7]
[11,12,9,10,7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7,10,9,12,11]
[10,11,9,12,7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7,12,9,11,10]
[11,12,8,9,7,10,5,6,2,3,1,4]=>[4,1,3,2,6,5,10,7,9,8,12,11]
[10,11,8,9,7,12,5,6,2,3,1,4]=>[4,1,3,2,6,5,12,7,9,8,11,10]
[9,10,8,11,7,12,5,6,2,3,1,4]=>[4,1,3,2,6,5,12,7,11,8,10,9]
[11,12,9,10,6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6,10,9,12,11]
[10,11,9,12,6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6,12,9,11,10]
[11,12,8,9,6,7,5,10,2,3,1,4]=>[4,1,3,2,10,5,7,6,9,8,12,11]
[11,12,7,8,6,9,5,10,2,3,1,4]=>[4,1,3,2,10,5,9,6,8,7,12,11]
[10,11,8,9,6,7,5,12,2,3,1,4]=>[4,1,3,2,12,5,7,6,9,8,11,10]
[9,10,8,11,6,7,5,12,2,3,1,4]=>[4,1,3,2,12,5,7,6,11,8,10,9]
[10,11,7,8,6,9,5,12,2,3,1,4]=>[4,1,3,2,12,5,9,6,8,7,11,10]
[9,10,7,8,6,11,5,12,2,3,1,4]=>[4,1,3,2,12,5,11,6,8,7,10,9]
[8,9,7,10,6,11,5,12,2,3,1,4]=>[4,1,3,2,12,5,11,6,10,7,9,8]
[11,12,9,10,7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7,10,9,12,11]
[10,11,9,12,7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7,12,9,11,10]
[11,12,8,9,7,10,4,5,2,3,1,6]=>[6,1,3,2,5,4,10,7,9,8,12,11]
[10,11,8,9,7,12,4,5,2,3,1,6]=>[6,1,3,2,5,4,12,7,9,8,11,10]
[9,10,8,11,7,12,4,5,2,3,1,6]=>[6,1,3,2,5,4,12,7,11,8,10,9]
[11,12,9,10,7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7,10,9,12,11]
[10,11,9,12,7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7,12,9,11,10]
[11,12,8,9,7,10,3,4,2,5,1,6]=>[6,1,5,2,4,3,10,7,9,8,12,11]
[10,11,8,9,7,12,3,4,2,5,1,6]=>[6,1,5,2,4,3,12,7,9,8,11,10]
[9,10,8,11,7,12,3,4,2,5,1,6]=>[6,1,5,2,4,3,12,7,11,8,10,9]
[11,12,9,10,6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6,10,9,12,11]
[10,11,9,12,6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6,12,9,11,10]
[11,12,9,10,5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5,10,9,12,11]
[10,11,9,12,5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5,12,9,11,10]
[11,12,9,10,6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6,10,9,12,11]
[10,11,9,12,6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6,12,9,11,10]
[11,12,9,10,5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5,10,9,12,11]
[10,11,9,12,5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5,12,9,11,10]
[11,12,9,10,4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4,10,9,12,11]
[10,11,9,12,4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4,12,9,11,10]
[11,12,8,9,6,7,4,5,2,3,1,10]=>[10,1,3,2,5,4,7,6,9,8,12,11]
[11,12,7,8,6,9,4,5,2,3,1,10]=>[10,1,3,2,5,4,9,6,8,7,12,11]
[11,12,8,9,5,6,4,7,2,3,1,10]=>[10,1,3,2,7,4,6,5,9,8,12,11]
[11,12,7,8,5,6,4,9,2,3,1,10]=>[10,1,3,2,9,4,6,5,8,7,12,11]
[11,12,6,7,5,8,4,9,2,3,1,10]=>[10,1,3,2,9,4,8,5,7,6,12,11]
[11,12,8,9,6,7,3,4,2,5,1,10]=>[10,1,5,2,4,3,7,6,9,8,12,11]
[11,12,7,8,6,9,3,4,2,5,1,10]=>[10,1,5,2,4,3,9,6,8,7,12,11]
[11,12,8,9,5,6,3,4,2,7,1,10]=>[10,1,7,2,4,3,6,5,9,8,12,11]
[11,12,8,9,4,5,3,6,2,7,1,10]=>[10,1,7,2,6,3,5,4,9,8,12,11]
[11,12,7,8,5,6,3,4,2,9,1,10]=>[10,1,9,2,4,3,6,5,8,7,12,11]
[11,12,6,7,5,8,3,4,2,9,1,10]=>[10,1,9,2,4,3,8,5,7,6,12,11]
[11,12,7,8,4,5,3,6,2,9,1,10]=>[10,1,9,2,6,3,5,4,8,7,12,11]
[11,12,6,7,4,5,3,8,2,9,1,10]=>[10,1,9,2,8,3,5,4,7,6,12,11]
[11,12,5,6,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,6,5,12,11]
[10,11,8,9,6,7,4,5,2,3,1,12]=>[12,1,3,2,5,4,7,6,9,8,11,10]
[9,10,8,11,6,7,4,5,2,3,1,12]=>[12,1,3,2,5,4,7,6,11,8,10,9]
[10,11,7,8,6,9,4,5,2,3,1,12]=>[12,1,3,2,5,4,9,6,8,7,11,10]
[9,10,7,8,6,11,4,5,2,3,1,12]=>[12,1,3,2,5,4,11,6,8,7,10,9]
[8,9,7,10,6,11,4,5,2,3,1,12]=>[12,1,3,2,5,4,11,6,10,7,9,8]
[10,11,8,9,5,6,4,7,2,3,1,12]=>[12,1,3,2,7,4,6,5,9,8,11,10]
[9,10,8,11,5,6,4,7,2,3,1,12]=>[12,1,3,2,7,4,6,5,11,8,10,9]
[10,11,7,8,5,6,4,9,2,3,1,12]=>[12,1,3,2,9,4,6,5,8,7,11,10]
[10,11,6,7,5,8,4,9,2,3,1,12]=>[12,1,3,2,9,4,8,5,7,6,11,10]
[9,10,7,8,5,6,4,11,2,3,1,12]=>[12,1,3,2,11,4,6,5,8,7,10,9]
[8,9,7,10,5,6,4,11,2,3,1,12]=>[12,1,3,2,11,4,6,5,10,7,9,8]
[9,10,6,7,5,8,4,11,2,3,1,12]=>[12,1,3,2,11,4,8,5,7,6,10,9]
[8,9,6,7,5,10,4,11,2,3,1,12]=>[12,1,3,2,11,4,10,5,7,6,9,8]
[7,8,6,9,5,10,4,11,2,3,1,12]=>[12,1,3,2,11,4,10,5,9,6,8,7]
[10,11,8,9,6,7,3,4,2,5,1,12]=>[12,1,5,2,4,3,7,6,9,8,11,10]
[9,10,8,11,6,7,3,4,2,5,1,12]=>[12,1,5,2,4,3,7,6,11,8,10,9]
[10,11,7,8,6,9,3,4,2,5,1,12]=>[12,1,5,2,4,3,9,6,8,7,11,10]
[9,10,7,8,6,11,3,4,2,5,1,12]=>[12,1,5,2,4,3,11,6,8,7,10,9]
[8,9,7,10,6,11,3,4,2,5,1,12]=>[12,1,5,2,4,3,11,6,10,7,9,8]
[10,11,8,9,5,6,3,4,2,7,1,12]=>[12,1,7,2,4,3,6,5,9,8,11,10]
[9,10,8,11,5,6,3,4,2,7,1,12]=>[12,1,7,2,4,3,6,5,11,8,10,9]
[10,11,8,9,4,5,3,6,2,7,1,12]=>[12,1,7,2,6,3,5,4,9,8,11,10]
[9,10,8,11,4,5,3,6,2,7,1,12]=>[12,1,7,2,6,3,5,4,11,8,10,9]
[10,11,7,8,5,6,3,4,2,9,1,12]=>[12,1,9,2,4,3,6,5,8,7,11,10]
[10,11,6,7,5,8,3,4,2,9,1,12]=>[12,1,9,2,4,3,8,5,7,6,11,10]
[10,11,7,8,4,5,3,6,2,9,1,12]=>[12,1,9,2,6,3,5,4,8,7,11,10]
[10,11,6,7,4,5,3,8,2,9,1,12]=>[12,1,9,2,8,3,5,4,7,6,11,10]
[10,11,5,6,4,7,3,8,2,9,1,12]=>[12,1,9,2,8,3,7,4,6,5,11,10]
[9,10,7,8,5,6,3,4,2,11,1,12]=>[12,1,11,2,4,3,6,5,8,7,10,9]
[8,9,7,10,5,6,3,4,2,11,1,12]=>[12,1,11,2,4,3,6,5,10,7,9,8]
[9,10,6,7,5,8,3,4,2,11,1,12]=>[12,1,11,2,4,3,8,5,7,6,10,9]
[8,9,6,7,5,10,3,4,2,11,1,12]=>[12,1,11,2,4,3,10,5,7,6,9,8]
[7,8,6,9,5,10,3,4,2,11,1,12]=>[12,1,11,2,4,3,10,5,9,6,8,7]
[9,10,7,8,4,5,3,6,2,11,1,12]=>[12,1,11,2,6,3,5,4,8,7,10,9]
[8,9,7,10,4,5,3,6,2,11,1,12]=>[12,1,11,2,6,3,5,4,10,7,9,8]
[9,10,6,7,4,5,3,8,2,11,1,12]=>[12,1,11,2,8,3,5,4,7,6,10,9]
[9,10,5,6,4,7,3,8,2,11,1,12]=>[12,1,11,2,8,3,7,4,6,5,10,9]
[8,9,6,7,4,5,3,10,2,11,1,12]=>[12,1,11,2,10,3,5,4,7,6,9,8]
[7,8,6,9,4,5,3,10,2,11,1,12]=>[12,1,11,2,10,3,5,4,9,6,8,7]
[8,9,5,6,4,7,3,10,2,11,1,12]=>[12,1,11,2,10,3,7,4,6,5,9,8]
[7,8,5,6,4,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,4,6,5,8,7]
[6,7,5,8,4,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,4,8,5,7,6]
[1,2,3,4,5,6,7,8,9,11,12,10]=>[10,12,11,9,8,7,6,5,4,3,2,1]
[3,1,4,5,6,7,8,9,10,12,2,11]=>[11,2,12,10,9,8,7,6,5,4,1,3]
[11,12,2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2,12,11]
[9,10,2,4,6,8,12,1,3,5,7,11]=>[11,7,5,3,1,12,8,6,4,2,10,9]
[11,9,12,2,4,6,8,10,1,3,5,7]=>[7,5,3,1,10,8,6,4,2,12,9,11]
[10,11,12,9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9,12,11,10]
[7,8,2,4,6,10,12,1,3,5,9,11]=>[11,9,5,3,1,12,10,6,4,2,8,7]
[7,8,11,12,2,4,6,10,1,3,5,9]=>[9,5,3,1,10,6,4,2,12,11,8,7]
[9,7,10,2,4,6,8,12,1,3,5,11]=>[11,5,3,1,12,8,6,4,2,10,7,9]
[9,11,7,12,2,4,6,8,10,1,3,5]=>[5,3,1,10,8,6,4,2,12,7,11,9]
[7,10,11,12,9,2,4,6,8,1,3,5]=>[5,3,1,8,6,4,2,9,12,11,10,7]
[8,9,10,7,2,4,6,12,1,3,5,11]=>[11,5,3,1,12,6,4,2,7,10,9,8]
[11,8,9,7,12,2,4,6,10,1,3,5]=>[5,3,1,10,6,4,2,12,7,9,8,11]
[10,11,8,12,7,9,2,4,6,1,3,5]=>[5,3,1,6,4,2,9,7,12,8,11,10]
[9,10,11,12,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,12,11,10,9]
[5,6,2,4,8,10,12,1,3,7,9,11]=>[11,9,7,3,1,12,10,8,4,2,6,5]
[5,6,11,12,2,4,8,10,1,3,7,9]=>[9,7,3,1,10,8,4,2,12,11,6,5]
[5,6,9,10,2,4,8,12,1,3,7,11]=>[11,7,3,1,12,8,4,2,10,9,6,5]
[11,5,6,9,12,2,4,8,10,1,3,7]=>[7,3,1,10,8,4,2,12,9,6,5,11]
[10,11,12,5,6,9,2,4,8,1,3,7]=>[7,3,1,8,4,2,9,6,5,12,11,10]
[7,5,8,2,4,6,10,12,1,3,9,11]=>[11,9,3,1,12,10,6,4,2,8,5,7]
[7,5,8,11,12,2,4,6,10,1,3,9]=>[9,3,1,10,6,4,2,12,11,8,5,7]
[7,9,5,10,2,4,6,8,12,1,3,11]=>[11,3,1,12,8,6,4,2,10,5,9,7]
[7,9,11,5,12,2,4,6,8,10,1,3]=>[3,1,10,8,6,4,2,12,5,11,9,7]
[10,7,11,12,5,9,2,4,6,8,1,3]=>[3,1,8,6,4,2,9,5,12,11,7,10]
[5,8,9,10,7,2,4,6,12,1,3,11]=>[11,3,1,12,6,4,2,7,10,9,8,5]
[11,5,8,9,7,12,2,4,6,10,1,3]=>[3,1,10,6,4,2,12,7,9,8,5,11]
[8,10,5,11,12,7,9,2,4,6,1,3]=>[3,1,6,4,2,9,7,12,11,5,10,8]
[9,10,11,12,5,8,7,2,4,6,1,3]=>[3,1,6,4,2,7,8,5,12,11,10,9]
[6,7,8,5,2,4,10,12,1,3,9,11]=>[11,9,3,1,12,10,4,2,5,8,7,6]
[6,7,8,5,11,12,2,4,10,1,3,9]=>[9,3,1,10,4,2,12,11,5,8,7,6]
[9,6,7,5,10,2,4,8,12,1,3,11]=>[11,3,1,12,8,4,2,10,5,7,6,9]
[9,6,7,11,5,12,2,4,8,10,1,3]=>[3,1,10,8,4,2,12,5,11,7,6,9]
[6,10,7,11,12,5,9,2,4,8,1,3]=>[3,1,8,4,2,9,5,12,11,7,10,6]
[8,9,6,10,5,7,2,4,12,1,3,11]=>[11,3,1,12,4,2,7,5,10,6,9,8]
[8,9,11,6,5,7,12,2,4,10,1,3]=>[3,1,10,4,2,12,7,5,6,11,9,8]
[10,8,11,6,12,5,7,9,2,4,1,3]=>[3,1,4,2,9,7,5,12,6,11,8,10]
[9,6,10,11,12,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,12,11,10,6,9]
[7,8,9,10,6,5,2,4,12,1,3,11]=>[11,3,1,12,4,2,5,6,10,9,8,7]
[11,7,8,9,6,5,12,2,4,10,1,3]=>[3,1,10,4,2,12,5,6,9,8,7,11]
[10,11,7,8,6,12,5,9,2,4,1,3]=>[3,1,4,2,9,5,12,6,8,7,11,10]
[9,10,11,7,12,6,8,5,2,4,1,3]=>[3,1,4,2,5,8,6,12,7,11,10,9]
[8,9,10,11,12,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,12,11,10,9,8]
[3,4,2,6,8,10,12,1,5,7,9,11]=>[11,9,7,5,1,12,10,8,6,2,4,3]
[3,4,11,12,2,6,8,10,1,5,7,9]=>[9,7,5,1,10,8,6,2,12,11,4,3]
[3,4,9,10,2,6,8,12,1,5,7,11]=>[11,7,5,1,12,8,6,2,10,9,4,3]
[11,3,4,9,12,2,6,8,10,1,5,7]=>[7,5,1,10,8,6,2,12,9,4,3,11]
[10,11,12,3,4,9,2,6,8,1,5,7]=>[7,5,1,8,6,2,9,4,3,12,11,10]
[3,4,7,8,2,6,10,12,1,5,9,11]=>[11,9,5,1,12,10,6,2,8,7,4,3]
[3,4,7,8,11,12,2,6,10,1,5,9]=>[9,5,1,10,6,2,12,11,8,7,4,3]
[9,3,4,7,10,2,6,8,12,1,5,11]=>[11,5,1,12,8,6,2,10,7,4,3,9]
[9,11,3,4,7,12,2,6,8,10,1,5]=>[5,1,10,8,6,2,12,7,4,3,11,9]
[3,10,11,12,4,7,9,2,6,8,1,5]=>[5,1,8,6,2,9,7,4,12,11,10,3]
[8,9,10,3,4,7,2,6,12,1,5,11]=>[11,5,1,12,6,2,7,4,3,10,9,8]
[11,8,9,3,4,7,12,2,6,10,1,5]=>[5,1,10,6,2,12,7,4,3,9,8,11]
[10,11,8,12,3,4,7,9,2,6,1,5]=>[5,1,6,2,9,7,4,3,12,8,11,10]
[9,10,11,12,8,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,8,12,11,10,9]
[5,3,6,2,4,8,10,12,1,7,9,11]=>[11,9,7,1,12,10,8,4,2,6,3,5]
[5,3,6,11,12,2,4,8,10,1,7,9]=>[9,7,1,10,8,4,2,12,11,6,3,5]
[5,3,6,9,10,2,4,8,12,1,7,11]=>[11,7,1,12,8,4,2,10,9,6,3,5]
[5,11,3,6,9,12,2,4,8,10,1,7]=>[7,1,10,8,4,2,12,9,6,3,11,5]
[5,10,11,12,3,6,9,2,4,8,1,7]=>[7,1,8,4,2,9,6,3,12,11,10,5]
[5,7,3,8,2,4,6,10,12,1,9,11]=>[11,9,1,12,10,6,4,2,8,3,7,5]
[5,7,3,8,11,12,2,4,6,10,1,9]=>[9,1,10,6,4,2,12,11,8,3,7,5]
[5,7,9,3,10,2,4,6,8,12,1,11]=>[11,1,12,8,6,4,2,10,3,9,7,5]
[5,7,9,11,3,12,2,4,6,8,10,1]=>[1,10,8,6,4,2,12,3,11,9,7,5]
[10,5,7,11,12,3,9,2,4,6,8,1]=>[1,8,6,4,2,9,3,12,11,7,5,10]
[8,5,9,10,3,7,2,4,6,12,1,11]=>[11,1,12,6,4,2,7,3,10,9,5,8]
[8,11,5,9,3,7,12,2,4,6,10,1]=>[1,10,6,4,2,12,7,3,9,5,11,8]
[8,10,11,5,12,3,7,9,2,4,6,1]=>[1,6,4,2,9,7,3,12,5,11,10,8]
[5,9,10,11,12,8,3,7,2,4,6,1]=>[1,6,4,2,7,3,8,12,11,10,9,5]
[3,6,7,8,5,2,4,10,12,1,9,11]=>[11,9,1,12,10,4,2,5,8,7,6,3]
[3,6,7,8,5,11,12,2,4,10,1,9]=>[9,1,10,4,2,12,11,5,8,7,6,3]
[9,3,6,7,5,10,2,4,8,12,1,11]=>[11,1,12,8,4,2,10,5,7,6,3,9]
[9,3,6,7,11,5,12,2,4,8,10,1]=>[1,10,8,4,2,12,5,11,7,6,3,9]
[6,10,3,7,11,12,5,9,2,4,8,1]=>[1,8,4,2,9,5,12,11,7,3,10,6]
[6,8,3,9,10,5,7,2,4,12,1,11]=>[11,1,12,4,2,7,5,10,9,3,8,6]
[6,8,9,3,11,5,7,12,2,4,10,1]=>[1,10,4,2,12,7,5,11,3,9,8,6]
[10,6,8,3,11,12,5,7,9,2,4,1]=>[1,4,2,9,7,5,12,11,3,8,6,10]
[9,6,10,11,12,3,8,5,7,2,4,1]=>[1,4,2,7,5,8,3,12,11,10,6,9]
[7,8,9,10,3,6,5,2,4,12,1,11]=>[11,1,12,4,2,5,6,3,10,9,8,7]
[11,7,8,9,3,6,5,12,2,4,10,1]=>[1,10,4,2,12,5,6,3,9,8,7,11]
[10,11,7,8,3,6,12,5,9,2,4,1]=>[1,4,2,9,5,12,6,3,8,7,11,10]
[9,10,11,7,12,3,6,8,5,2,4,1]=>[1,4,2,5,8,6,3,12,7,11,10,9]
[8,9,10,11,12,7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7,12,11,10,9,8]
[4,5,6,3,2,8,10,12,1,7,9,11]=>[11,9,7,1,12,10,8,2,3,6,5,4]
[4,5,6,3,11,12,2,8,10,1,7,9]=>[9,7,1,10,8,2,12,11,3,6,5,4]
[4,5,6,3,9,10,2,8,12,1,7,11]=>[11,7,1,12,8,2,10,9,3,6,5,4]
[4,5,6,11,3,9,12,2,8,10,1,7]=>[7,1,10,8,2,12,9,3,11,6,5,4]
[4,5,6,10,11,12,3,9,2,8,1,7]=>[7,1,8,2,9,3,12,11,10,6,5,4]
[7,4,5,3,8,2,6,10,12,1,9,11]=>[11,9,1,12,10,6,2,8,3,5,4,7]
[7,4,5,3,8,11,12,2,6,10,1,9]=>[9,1,10,6,2,12,11,8,3,5,4,7]
[7,4,5,9,3,10,2,6,8,12,1,11]=>[11,1,12,8,6,2,10,3,9,5,4,7]
[7,4,5,9,11,3,12,2,6,8,10,1]=>[1,10,8,6,2,12,3,11,9,5,4,7]
[7,10,4,5,11,12,3,9,2,6,8,1]=>[1,8,6,2,9,3,12,11,5,4,10,7]
[4,8,5,9,10,3,7,2,6,12,1,11]=>[11,1,12,6,2,7,3,10,9,5,8,4]
[4,8,11,5,9,3,7,12,2,6,10,1]=>[1,10,6,2,12,7,3,9,5,11,8,4]
[4,8,10,11,5,12,3,7,9,2,6,1]=>[1,6,2,9,7,3,12,5,11,10,8,4]
[4,5,9,10,11,12,8,3,7,2,6,1]=>[1,6,2,7,3,8,12,11,10,9,5,4]
[6,7,4,8,3,5,2,10,12,1,9,11]=>[11,9,1,12,10,2,5,3,8,4,7,6]
[6,7,4,8,3,5,11,12,2,10,1,9]=>[9,1,10,2,12,11,5,3,8,4,7,6]
[6,7,9,4,3,5,10,2,8,12,1,11]=>[11,1,12,8,2,10,5,3,4,9,7,6]
[6,7,9,4,11,3,5,12,2,8,10,1]=>[1,10,8,2,12,5,3,11,4,9,7,6]
[10,6,7,4,11,12,3,5,9,2,8,1]=>[1,8,2,9,5,3,12,11,4,7,6,10]
[8,6,9,4,10,3,5,7,2,12,1,11]=>[11,1,12,2,7,5,3,10,4,9,6,8]
[8,6,9,11,4,3,5,7,12,2,10,1]=>[1,10,2,12,7,5,3,4,11,9,6,8]
[8,10,6,11,4,12,3,5,7,9,2,1]=>[1,2,9,7,5,3,12,4,11,6,10,8]
[6,9,4,10,11,12,8,3,5,7,2,1]=>[1,2,7,5,3,8,12,11,10,4,9,6]
[7,4,8,9,10,6,3,5,2,12,1,11]=>[11,1,12,2,5,3,6,10,9,8,4,7]
[7,11,4,8,9,6,3,5,12,2,10,1]=>[1,10,2,12,5,3,6,9,8,4,11,7]
[7,8,10,4,11,6,12,3,5,9,2,1]=>[1,2,9,5,3,12,6,11,4,10,8,7]
[9,7,10,4,11,12,6,8,3,5,2,1]=>[1,2,5,3,8,6,12,11,4,10,7,9]
[4,8,9,10,11,12,7,6,3,5,2,1]=>[1,2,5,3,6,7,12,11,10,9,8,4]
[5,6,7,8,4,3,2,10,12,1,9,11]=>[11,9,1,12,10,2,3,4,8,7,6,5]
[5,6,7,8,4,3,11,12,2,10,1,9]=>[9,1,10,2,12,11,3,4,8,7,6,5]
[9,5,6,7,4,3,10,2,8,12,1,11]=>[11,1,12,8,2,10,3,4,7,6,5,9]
[9,5,6,7,4,11,3,12,2,8,10,1]=>[1,10,8,2,12,3,11,4,7,6,5,9]
[5,10,6,7,4,11,12,3,9,2,8,1]=>[1,8,2,9,3,12,11,4,7,6,10,5]
[8,9,5,6,4,10,3,7,2,12,1,11]=>[11,1,12,2,7,3,10,4,6,5,9,8]
[8,9,5,6,11,4,3,7,12,2,10,1]=>[1,10,2,12,7,3,4,11,6,5,9,8]
[10,8,5,6,11,4,12,3,7,9,2,1]=>[1,2,9,7,3,12,4,11,6,5,8,10]
[9,5,10,6,11,12,4,8,3,7,2,1]=>[1,2,7,3,8,4,12,11,6,10,5,9]
[7,8,9,5,10,4,6,3,2,12,1,11]=>[11,1,12,2,3,6,4,10,5,9,8,7]
[7,8,9,11,5,4,6,3,12,2,10,1]=>[1,10,2,12,3,6,4,5,11,9,8,7]
[10,7,8,11,5,4,6,12,3,9,2,1]=>[1,2,9,3,12,6,4,5,11,8,7,10]
[9,10,7,11,5,12,4,6,8,3,2,1]=>[1,2,3,8,6,4,12,5,11,7,10,9]
[8,9,5,10,11,12,7,4,6,3,2,1]=>[1,2,3,6,4,7,12,11,10,5,9,8]
[6,7,8,9,10,5,4,3,2,12,1,11]=>[11,1,12,2,3,4,5,10,9,8,7,6]
[11,6,7,8,9,5,4,3,12,2,10,1]=>[1,10,2,12,3,4,5,9,8,7,6,11]
[10,11,6,7,8,5,4,12,3,9,2,1]=>[1,2,9,3,12,4,5,8,7,6,11,10]
[9,10,11,6,7,5,12,4,8,3,2,1]=>[1,2,3,8,4,12,5,7,6,11,10,9]
[8,9,10,11,6,12,5,7,4,3,2,1]=>[1,2,3,4,7,5,12,6,11,10,9,8]
[7,6,5,4,3,2,1,8,9,10,11,12]=>[12,11,10,9,8,1,2,3,4,5,6,7]
[12,11,10,9,8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8,9,10,11,12]
[6,5,2,1,4,3,12,11,8,7,10,9]=>[9,10,7,8,11,12,3,4,1,2,5,6]
[4,3,6,5,2,1,10,9,12,11,8,7]=>[7,8,11,12,9,10,1,2,5,6,3,4]
[12,11,10,9,8,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,8,9,10,11,12]
[8,7,10,9,12,11,6,5,4,3,2,1]=>[1,2,3,4,5,6,11,12,9,10,7,8]
[12,9,8,11,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,11,8,9,12]
[2,1,4,3,6,5,8,7,9,11,12,10]=>[10,12,11,9,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,7,9,10,8,12,11]=>[11,12,8,10,9,7,5,6,3,4,1,2]
[2,1,4,3,6,5,7,9,8,11,12,10]=>[10,12,11,8,9,7,5,6,3,4,1,2]
[2,1,4,3,6,5,7,8,10,11,12,9]=>[9,12,11,10,8,7,5,6,3,4,1,2]
[2,1,4,3,5,7,8,6,10,9,12,11]=>[11,12,9,10,6,8,7,5,3,4,1,2]
[2,1,4,3,5,7,8,6,9,11,12,10]=>[10,12,11,9,6,8,7,5,3,4,1,2]
[2,1,4,3,5,7,6,9,10,8,12,11]=>[11,12,8,10,9,6,7,5,3,4,1,2]
[2,1,4,3,5,7,6,9,8,11,12,10]=>[10,12,11,8,9,6,7,5,3,4,1,2]
[2,1,4,3,5,7,6,8,10,11,12,9]=>[9,12,11,10,8,6,7,5,3,4,1,2]
[2,1,4,3,5,6,8,9,10,7,12,11]=>[11,12,7,10,9,8,6,5,3,4,1,2]
[2,1,4,3,5,6,8,9,7,11,12,10]=>[10,12,11,7,9,8,6,5,3,4,1,2]
[2,1,4,3,5,6,8,7,10,11,12,9]=>[9,12,11,10,7,8,6,5,3,4,1,2]
[2,1,4,3,5,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,5,3,4,1,2]
[2,1,3,5,6,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,6,5,3,1,2]
[2,1,3,5,6,4,8,7,9,11,12,10]=>[10,12,11,9,7,8,4,6,5,3,1,2]
[2,1,3,5,6,4,7,9,10,8,12,11]=>[11,12,8,10,9,7,4,6,5,3,1,2]
[2,1,3,5,6,4,7,9,8,11,12,10]=>[10,12,11,8,9,7,4,6,5,3,1,2]
[2,1,3,5,6,4,7,8,10,11,12,9]=>[9,12,11,10,8,7,4,6,5,3,1,2]
[2,1,3,5,4,7,8,6,10,9,12,11]=>[11,12,9,10,6,8,7,4,5,3,1,2]
[2,1,3,5,4,7,8,6,9,11,12,10]=>[10,12,11,9,6,8,7,4,5,3,1,2]
[2,1,3,5,4,7,6,9,10,8,12,11]=>[11,12,8,10,9,6,7,4,5,3,1,2]
[2,1,3,5,4,7,6,9,8,11,12,10]=>[10,12,11,8,9,6,7,4,5,3,1,2]
[2,1,3,5,4,7,6,8,10,11,12,9]=>[9,12,11,10,8,6,7,4,5,3,1,2]
[2,1,3,5,4,6,8,9,10,7,12,11]=>[11,12,7,10,9,8,6,4,5,3,1,2]
[2,1,3,5,4,6,8,9,7,11,12,10]=>[10,12,11,7,9,8,6,4,5,3,1,2]
[2,1,3,5,4,6,8,7,10,11,12,9]=>[9,12,11,10,7,8,6,4,5,3,1,2]
[2,1,3,5,4,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,4,5,3,1,2]
[2,1,3,4,6,7,8,5,10,9,12,11]=>[11,12,9,10,5,8,7,6,4,3,1,2]
[2,1,3,4,6,7,8,5,9,11,12,10]=>[10,12,11,9,5,8,7,6,4,3,1,2]
[2,1,3,4,6,7,5,9,10,8,12,11]=>[11,12,8,10,9,5,7,6,4,3,1,2]
[2,1,3,4,6,7,5,9,8,11,12,10]=>[10,12,11,8,9,5,7,6,4,3,1,2]
[2,1,3,4,6,7,5,8,10,11,12,9]=>[9,12,11,10,8,5,7,6,4,3,1,2]
[2,1,3,4,6,5,8,9,10,7,12,11]=>[11,12,7,10,9,8,5,6,4,3,1,2]
[2,1,3,4,6,5,8,9,7,11,12,10]=>[10,12,11,7,9,8,5,6,4,3,1,2]
[2,1,3,4,6,5,8,7,10,11,12,9]=>[9,12,11,10,7,8,5,6,4,3,1,2]
[2,1,3,4,6,5,7,9,10,11,12,8]=>[8,12,11,10,9,7,5,6,4,3,1,2]
[2,1,3,4,5,7,8,9,10,6,12,11]=>[11,12,6,10,9,8,7,5,4,3,1,2]
[2,1,3,4,5,7,8,9,6,11,12,10]=>[10,12,11,6,9,8,7,5,4,3,1,2]
[2,1,3,4,5,7,8,6,10,11,12,9]=>[9,12,11,10,6,8,7,5,4,3,1,2]
[2,1,3,4,5,7,6,9,10,11,12,8]=>[8,12,11,10,9,6,7,5,4,3,1,2]
[2,1,3,4,5,6,8,9,10,11,12,7]=>[7,12,11,10,9,8,6,5,4,3,1,2]
[1,3,4,2,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,2,4,3,1]
[1,3,4,2,6,5,8,7,9,11,12,10]=>[10,12,11,9,7,8,5,6,2,4,3,1]
[1,3,4,2,6,5,7,9,10,8,12,11]=>[11,12,8,10,9,7,5,6,2,4,3,1]
[1,3,4,2,6,5,7,9,8,11,12,10]=>[10,12,11,8,9,7,5,6,2,4,3,1]
[1,3,4,2,6,5,7,8,10,11,12,9]=>[9,12,11,10,8,7,5,6,2,4,3,1]
[1,3,4,2,5,7,8,6,10,9,12,11]=>[11,12,9,10,6,8,7,5,2,4,3,1]
[1,3,4,2,5,7,8,6,9,11,12,10]=>[10,12,11,9,6,8,7,5,2,4,3,1]
[1,3,4,2,5,7,6,9,10,8,12,11]=>[11,12,8,10,9,6,7,5,2,4,3,1]
[1,3,4,2,5,7,6,9,8,11,12,10]=>[10,12,11,8,9,6,7,5,2,4,3,1]
[1,3,4,2,5,7,6,8,10,11,12,9]=>[9,12,11,10,8,6,7,5,2,4,3,1]
[1,3,4,2,5,6,8,9,10,7,12,11]=>[11,12,7,10,9,8,6,5,2,4,3,1]
[1,3,4,2,5,6,8,9,7,11,12,10]=>[10,12,11,7,9,8,6,5,2,4,3,1]
[1,3,4,2,5,6,8,7,10,11,12,9]=>[9,12,11,10,7,8,6,5,2,4,3,1]
[1,3,4,2,5,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,5,2,4,3,1]
[1,3,2,5,6,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,6,5,2,3,1]
[1,3,2,5,6,4,8,7,9,11,12,10]=>[10,12,11,9,7,8,4,6,5,2,3,1]
[1,3,2,5,6,4,7,9,10,8,12,11]=>[11,12,8,10,9,7,4,6,5,2,3,1]
[1,3,2,5,6,4,7,9,8,11,12,10]=>[10,12,11,8,9,7,4,6,5,2,3,1]
[1,3,2,5,6,4,7,8,10,11,12,9]=>[9,12,11,10,8,7,4,6,5,2,3,1]
[1,3,2,5,4,7,8,6,10,9,12,11]=>[11,12,9,10,6,8,7,4,5,2,3,1]
[1,3,2,5,4,7,8,6,9,11,12,10]=>[10,12,11,9,6,8,7,4,5,2,3,1]
[1,3,2,5,4,7,6,9,10,8,12,11]=>[11,12,8,10,9,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,9,8,11,12,10]=>[10,12,11,8,9,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,8,10,11,12,9]=>[9,12,11,10,8,6,7,4,5,2,3,1]
[1,3,2,5,4,6,8,9,10,7,12,11]=>[11,12,7,10,9,8,6,4,5,2,3,1]
[1,3,2,5,4,6,8,9,7,11,12,10]=>[10,12,11,7,9,8,6,4,5,2,3,1]
[1,3,2,5,4,6,8,7,10,11,12,9]=>[9,12,11,10,7,8,6,4,5,2,3,1]
[1,3,2,5,4,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,4,5,2,3,1]
[1,3,2,4,6,7,8,5,10,9,12,11]=>[11,12,9,10,5,8,7,6,4,2,3,1]
[1,3,2,4,6,7,8,5,9,11,12,10]=>[10,12,11,9,5,8,7,6,4,2,3,1]
[1,3,2,4,6,7,5,9,10,8,12,11]=>[11,12,8,10,9,5,7,6,4,2,3,1]
[1,3,2,4,6,7,5,9,8,11,12,10]=>[10,12,11,8,9,5,7,6,4,2,3,1]
[1,3,2,4,6,7,5,8,10,11,12,9]=>[9,12,11,10,8,5,7,6,4,2,3,1]
[1,3,2,4,6,5,8,9,10,7,12,11]=>[11,12,7,10,9,8,5,6,4,2,3,1]
[1,3,2,4,6,5,8,9,7,11,12,10]=>[10,12,11,7,9,8,5,6,4,2,3,1]
[1,3,2,4,6,5,8,7,10,11,12,9]=>[9,12,11,10,7,8,5,6,4,2,3,1]
[1,3,2,4,6,5,7,9,10,11,12,8]=>[8,12,11,10,9,7,5,6,4,2,3,1]
[1,3,2,4,5,7,8,9,10,6,12,11]=>[11,12,6,10,9,8,7,5,4,2,3,1]
[1,3,2,4,5,7,8,9,6,11,12,10]=>[10,12,11,6,9,8,7,5,4,2,3,1]
[1,3,2,4,5,7,8,6,10,11,12,9]=>[9,12,11,10,6,8,7,5,4,2,3,1]
[1,3,2,4,5,7,6,9,10,11,12,8]=>[8,12,11,10,9,6,7,5,4,2,3,1]
[1,3,2,4,5,6,8,9,10,11,12,7]=>[7,12,11,10,9,8,6,5,4,2,3,1]
[1,2,4,5,6,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,6,5,4,2,1]
[1,2,4,5,6,3,8,7,9,11,12,10]=>[10,12,11,9,7,8,3,6,5,4,2,1]
[1,2,4,5,6,3,7,9,10,8,12,11]=>[11,12,8,10,9,7,3,6,5,4,2,1]
[1,2,4,5,6,3,7,9,8,11,12,10]=>[10,12,11,8,9,7,3,6,5,4,2,1]
[1,2,4,5,6,3,7,8,10,11,12,9]=>[9,12,11,10,8,7,3,6,5,4,2,1]
[1,2,4,5,3,7,8,6,10,9,12,11]=>[11,12,9,10,6,8,7,3,5,4,2,1]
[1,2,4,5,3,7,8,6,9,11,12,10]=>[10,12,11,9,6,8,7,3,5,4,2,1]
[1,2,4,5,3,7,6,9,10,8,12,11]=>[11,12,8,10,9,6,7,3,5,4,2,1]
[1,2,4,5,3,7,6,9,8,11,12,10]=>[10,12,11,8,9,6,7,3,5,4,2,1]
[1,2,4,5,3,7,6,8,10,11,12,9]=>[9,12,11,10,8,6,7,3,5,4,2,1]
[1,2,4,5,3,6,8,9,10,7,12,11]=>[11,12,7,10,9,8,6,3,5,4,2,1]
[1,2,4,5,3,6,8,9,7,11,12,10]=>[10,12,11,7,9,8,6,3,5,4,2,1]
[1,2,4,5,3,6,8,7,10,11,12,9]=>[9,12,11,10,7,8,6,3,5,4,2,1]
[1,2,4,5,3,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,3,5,4,2,1]
[1,2,4,3,6,7,8,5,10,9,12,11]=>[11,12,9,10,5,8,7,6,3,4,2,1]
[1,2,4,3,6,7,8,5,9,11,12,10]=>[10,12,11,9,5,8,7,6,3,4,2,1]
[1,2,4,3,6,7,5,9,10,8,12,11]=>[11,12,8,10,9,5,7,6,3,4,2,1]
[1,2,4,3,6,7,5,9,8,11,12,10]=>[10,12,11,8,9,5,7,6,3,4,2,1]
[1,2,4,3,6,7,5,8,10,11,12,9]=>[9,12,11,10,8,5,7,6,3,4,2,1]
[1,2,4,3,6,5,8,9,10,7,12,11]=>[11,12,7,10,9,8,5,6,3,4,2,1]
[1,2,4,3,6,5,8,9,7,11,12,10]=>[10,12,11,7,9,8,5,6,3,4,2,1]
[1,2,4,3,6,5,8,7,10,11,12,9]=>[9,12,11,10,7,8,5,6,3,4,2,1]
[1,2,4,3,6,5,7,9,10,11,12,8]=>[8,12,11,10,9,7,5,6,3,4,2,1]
[1,2,4,3,5,7,8,9,10,6,12,11]=>[11,12,6,10,9,8,7,5,3,4,2,1]
[1,2,4,3,5,7,8,9,6,11,12,10]=>[10,12,11,6,9,8,7,5,3,4,2,1]
[1,2,4,3,5,7,8,6,10,11,12,9]=>[9,12,11,10,6,8,7,5,3,4,2,1]
[1,2,4,3,5,7,6,9,10,11,12,8]=>[8,12,11,10,9,6,7,5,3,4,2,1]
[1,2,4,3,5,6,8,9,10,11,12,7]=>[7,12,11,10,9,8,6,5,3,4,2,1]
[1,2,3,5,6,7,8,4,10,9,12,11]=>[11,12,9,10,4,8,7,6,5,3,2,1]
[1,2,3,5,6,7,8,4,9,11,12,10]=>[10,12,11,9,4,8,7,6,5,3,2,1]
[1,2,3,5,6,7,4,9,10,8,12,11]=>[11,12,8,10,9,4,7,6,5,3,2,1]
[1,2,3,5,6,7,4,9,8,11,12,10]=>[10,12,11,8,9,4,7,6,5,3,2,1]
[1,2,3,5,6,7,4,8,10,11,12,9]=>[9,12,11,10,8,4,7,6,5,3,2,1]
[1,2,3,5,6,4,8,9,10,7,12,11]=>[11,12,7,10,9,8,4,6,5,3,2,1]
[1,2,3,5,6,4,8,9,7,11,12,10]=>[10,12,11,7,9,8,4,6,5,3,2,1]
[1,2,3,5,6,4,8,7,10,11,12,9]=>[9,12,11,10,7,8,4,6,5,3,2,1]
[1,2,3,5,6,4,7,9,10,11,12,8]=>[8,12,11,10,9,7,4,6,5,3,2,1]
[1,2,3,5,4,7,8,9,10,6,12,11]=>[11,12,6,10,9,8,7,4,5,3,2,1]
[1,2,3,5,4,7,8,9,6,11,12,10]=>[10,12,11,6,9,8,7,4,5,3,2,1]
[1,2,3,5,4,7,8,6,10,11,12,9]=>[9,12,11,10,6,8,7,4,5,3,2,1]
[1,2,3,5,4,7,6,9,10,11,12,8]=>[8,12,11,10,9,6,7,4,5,3,2,1]
[1,2,3,5,4,6,8,9,10,11,12,7]=>[7,12,11,10,9,8,6,4,5,3,2,1]
[1,2,3,4,6,7,8,9,10,5,12,11]=>[11,12,5,10,9,8,7,6,4,3,2,1]
[1,2,3,4,6,7,8,9,5,11,12,10]=>[10,12,11,5,9,8,7,6,4,3,2,1]
[1,2,3,4,6,7,8,5,10,11,12,9]=>[9,12,11,10,5,8,7,6,4,3,2,1]
[1,2,3,4,6,7,5,9,10,11,12,8]=>[8,12,11,10,9,5,7,6,4,3,2,1]
[1,2,3,4,6,5,8,9,10,11,12,7]=>[7,12,11,10,9,8,5,6,4,3,2,1]
[1,2,3,4,5,7,8,9,10,11,12,6]=>[6,12,11,10,9,8,7,5,4,3,2,1]
[12,1,2,3,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,3,2,1,12]
[12,11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11,12]
[12,2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2,12]
[2,1,4,3,6,5,12,11,9,10,8,7]=>[7,8,10,9,11,12,5,6,3,4,1,2]
[2,1,4,3,10,9,7,8,6,5,12,11]=>[11,12,5,6,8,7,9,10,3,4,1,2]
[2,1,4,3,12,9,7,11,6,10,8,5]=>[5,8,10,6,11,7,9,12,3,4,1,2]
[2,1,4,3,12,11,7,10,9,8,6,5]=>[5,6,8,9,10,7,11,12,3,4,1,2]
[2,1,4,3,12,9,11,8,6,10,7,5]=>[5,7,10,6,8,11,9,12,3,4,1,2]
[2,1,4,3,12,11,10,8,9,7,6,5]=>[5,6,7,9,8,10,11,12,3,4,1,2]
[2,1,6,5,4,3,12,11,9,10,8,7]=>[7,8,10,9,11,12,3,4,5,6,1,2]
[2,1,8,7,5,6,4,3,10,9,12,11]=>[11,12,9,10,3,4,6,5,7,8,1,2]
[2,1,8,7,5,6,4,3,12,11,10,9]=>[9,10,11,12,3,4,6,5,7,8,1,2]
[2,1,10,7,5,9,4,8,6,3,12,11]=>[11,12,3,6,8,4,9,5,7,10,1,2]
[2,1,12,7,5,9,4,11,6,10,8,3]=>[3,8,10,6,11,4,9,5,7,12,1,2]
[2,1,12,7,5,11,4,10,9,8,6,3]=>[3,6,8,9,10,4,11,5,7,12,1,2]
[2,1,10,9,5,8,7,6,4,3,12,11]=>[11,12,3,4,6,7,8,5,9,10,1,2]
[2,1,12,9,5,8,11,6,4,10,7,3]=>[3,7,10,4,6,11,8,5,9,12,1,2]
[2,1,12,11,5,10,8,7,9,6,4,3]=>[3,4,6,9,7,8,10,5,11,12,1,2]
[2,1,12,11,5,10,9,8,7,6,4,3]=>[3,4,6,7,8,9,10,5,11,12,1,2]
[2,1,10,7,9,6,4,8,5,3,12,11]=>[11,12,3,5,8,4,6,9,7,10,1,2]
[2,1,12,7,9,6,4,11,5,10,8,3]=>[3,8,10,5,11,4,6,9,7,12,1,2]
[2,1,12,7,11,6,4,10,9,8,5,3]=>[3,5,8,9,10,4,6,11,7,12,1,2]
[2,1,10,9,8,6,7,5,4,3,12,11]=>[11,12,3,4,5,7,6,8,9,10,1,2]
[2,1,12,9,8,6,11,5,4,10,7,3]=>[3,7,10,4,5,11,6,8,9,12,1,2]
[2,1,12,11,10,8,7,6,9,5,4,3]=>[3,4,5,9,6,7,8,10,11,12,1,2]
[2,1,12,11,10,9,7,8,6,5,4,3]=>[3,4,5,6,8,7,9,10,11,12,1,2]
[2,1,12,9,8,11,7,5,4,10,6,3]=>[3,6,10,4,5,7,11,8,9,12,1,2]
[4,3,2,1,6,5,12,11,9,10,8,7]=>[7,8,10,9,11,12,5,6,1,2,3,4]
[4,3,2,1,10,9,7,8,6,5,12,11]=>[11,12,5,6,8,7,9,10,1,2,3,4]
[4,3,2,1,12,9,7,11,6,10,8,5]=>[5,8,10,6,11,7,9,12,1,2,3,4]
[4,3,2,1,12,11,7,10,9,8,6,5]=>[5,6,8,9,10,7,11,12,1,2,3,4]
[4,3,2,1,12,9,11,8,6,10,7,5]=>[5,7,10,6,8,11,9,12,1,2,3,4]
[4,3,2,1,12,11,10,8,9,7,6,5]=>[5,6,7,9,8,10,11,12,1,2,3,4]
[6,5,3,4,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,4,3,5,6]
[6,5,3,4,2,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,2,4,3,5,6]
[6,5,3,4,2,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,2,4,3,5,6]
[6,5,3,4,2,1,12,11,9,10,8,7]=>[7,8,10,9,11,12,1,2,4,3,5,6]
[6,5,3,4,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,4,3,5,6]
[8,5,3,7,2,6,4,1,10,9,12,11]=>[11,12,9,10,1,4,6,2,7,3,5,8]
[8,5,3,7,2,6,4,1,12,11,10,9]=>[9,10,11,12,1,4,6,2,7,3,5,8]
[10,5,3,7,2,9,4,8,6,1,12,11]=>[11,12,1,6,8,4,9,2,7,3,5,10]
[12,5,3,7,2,9,4,11,6,10,8,1]=>[1,8,10,6,11,4,9,2,7,3,5,12]
[12,5,3,7,2,11,4,10,9,8,6,1]=>[1,6,8,9,10,4,11,2,7,3,5,12]
[10,5,3,9,2,8,7,6,4,1,12,11]=>[11,12,1,4,6,7,8,2,9,3,5,10]
[12,5,3,9,2,8,11,6,4,10,7,1]=>[1,7,10,4,6,11,8,2,9,3,5,12]
[12,5,3,11,2,10,8,7,9,6,4,1]=>[1,4,6,9,7,8,10,2,11,3,5,12]
[12,5,3,11,2,10,9,8,7,6,4,1]=>[1,4,6,7,8,9,10,2,11,3,5,12]
[8,7,3,6,5,4,2,1,10,9,12,11]=>[11,12,9,10,1,2,4,5,6,3,7,8]
[8,7,3,6,5,4,2,1,12,11,10,9]=>[9,10,11,12,1,2,4,5,6,3,7,8]
[10,7,3,6,9,4,2,8,5,1,12,11]=>[11,12,1,5,8,2,4,9,6,3,7,10]
[12,7,3,6,9,4,2,11,5,10,8,1]=>[1,8,10,5,11,2,4,9,6,3,7,12]
[12,7,3,6,11,4,2,10,9,8,5,1]=>[1,5,8,9,10,2,4,11,6,3,7,12]
[10,9,3,8,6,5,7,4,2,1,12,11]=>[11,12,1,2,4,7,5,6,8,3,9,10]
[12,9,3,8,6,5,11,4,2,10,7,1]=>[1,7,10,2,4,11,5,6,8,3,9,12]
[12,11,3,8,10,6,7,4,9,5,2,1]=>[1,2,5,9,4,7,6,10,8,3,11,12]
[12,11,3,10,9,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,9,10,3,11,12]
[10,9,3,8,7,6,5,4,2,1,12,11]=>[11,12,1,2,4,5,6,7,8,3,9,10]
[12,9,3,8,7,11,5,4,2,10,6,1]=>[1,6,10,2,4,5,11,7,8,3,9,12]
[12,11,3,8,10,7,6,4,9,5,2,1]=>[1,2,5,9,4,6,7,10,8,3,11,12]
[12,11,3,10,9,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,9,10,3,11,12]
[12,11,3,10,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,10,3,11,12]
[6,5,4,3,2,1,12,11,9,10,8,7]=>[7,8,10,9,11,12,1,2,3,4,5,6]
[8,5,7,4,2,6,3,1,10,9,12,11]=>[11,12,9,10,1,3,6,2,4,7,5,8]
[8,5,7,4,2,6,3,1,12,11,10,9]=>[9,10,11,12,1,3,6,2,4,7,5,8]
[10,5,7,4,2,9,3,8,6,1,12,11]=>[11,12,1,6,8,3,9,2,4,7,5,10]
[12,5,7,4,2,9,3,11,6,10,8,1]=>[1,8,10,6,11,3,9,2,4,7,5,12]
[12,5,7,4,2,11,3,10,9,8,6,1]=>[1,6,8,9,10,3,11,2,4,7,5,12]
[10,5,9,4,2,8,7,6,3,1,12,11]=>[11,12,1,3,6,7,8,2,4,9,5,10]
[12,5,9,4,2,8,11,6,3,10,7,1]=>[1,7,10,3,6,11,8,2,4,9,5,12]
[12,5,11,4,2,10,8,7,9,6,3,1]=>[1,3,6,9,7,8,10,2,4,11,5,12]
[12,5,11,4,2,10,9,8,7,6,3,1]=>[1,3,6,7,8,9,10,2,4,11,5,12]
[8,7,6,4,5,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,5,4,6,7,8]
[8,7,6,4,5,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,5,4,6,7,8]
[10,7,6,4,9,3,2,8,5,1,12,11]=>[11,12,1,5,8,2,3,9,4,6,7,10]
[12,7,6,4,9,3,2,11,5,10,8,1]=>[1,8,10,5,11,2,3,9,4,6,7,12]
[12,7,6,4,11,3,2,10,9,8,5,1]=>[1,5,8,9,10,2,3,11,4,6,7,12]
[10,9,8,6,5,4,7,3,2,1,12,11]=>[11,12,1,2,3,7,4,5,6,8,9,10]
[12,9,8,6,5,4,11,3,2,10,7,1]=>[1,7,10,2,3,11,4,5,6,8,9,12]
[12,11,8,6,10,4,7,3,9,5,2,1]=>[1,2,5,9,3,7,4,10,6,8,11,12]
[12,11,10,6,9,4,7,8,5,3,2,1]=>[1,2,3,5,8,7,4,9,6,10,11,12]
[10,9,8,7,5,6,4,3,2,1,12,11]=>[11,12,1,2,3,4,6,5,7,8,9,10]
[12,9,8,7,5,11,4,3,2,10,6,1]=>[1,6,10,2,3,4,11,5,7,8,9,12]
[12,11,8,7,10,6,4,3,9,5,2,1]=>[1,2,5,9,3,4,6,10,7,8,11,12]
[12,11,10,9,7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7,9,10,11,12]
[12,11,10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10,11,12]
[10,7,6,9,5,3,2,8,4,1,12,11]=>[11,12,1,4,8,2,3,5,9,6,7,10]
[12,7,6,9,5,3,2,11,4,10,8,1]=>[1,8,10,4,11,2,3,5,9,6,7,12]
[12,7,6,11,5,3,2,10,9,8,4,1]=>[1,4,8,9,10,2,3,5,11,6,7,12]
[12,11,8,10,6,5,7,3,9,4,2,1]=>[1,2,4,9,3,7,5,6,10,8,11,12]
[12,11,10,9,6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6,9,10,11,12]
[12,11,8,10,7,6,5,3,9,4,2,1]=>[1,2,4,9,3,5,6,7,10,8,11,12]
[12,9,8,7,11,6,4,3,2,10,5,1]=>[1,5,10,2,3,4,6,11,7,8,9,12]
[6,12,5,11,4,10,3,9,2,1,8,7]=>[7,8,1,2,9,3,10,4,11,5,12,6]
[6,12,5,11,4,10,3,2,9,8,1,7]=>[7,1,8,9,2,3,10,4,11,5,12,6]
[6,12,5,11,4,10,3,2,9,1,8,7]=>[7,8,1,9,2,3,10,4,11,5,12,6]
[6,12,5,11,4,10,3,2,1,9,8,7]=>[7,8,9,1,2,3,10,4,11,5,12,6]
[6,12,5,11,4,3,10,9,2,8,1,7]=>[7,1,8,2,9,10,3,4,11,5,12,6]
[6,12,5,11,4,3,10,9,2,1,8,7]=>[7,8,1,2,9,10,3,4,11,5,12,6]
[6,12,5,11,4,3,10,2,9,8,1,7]=>[7,1,8,9,2,10,3,4,11,5,12,6]
[6,12,5,11,4,3,10,2,9,1,8,7]=>[7,8,1,9,2,10,3,4,11,5,12,6]
[6,12,5,11,4,3,10,2,1,9,8,7]=>[7,8,9,1,2,10,3,4,11,5,12,6]
[6,12,5,11,4,3,2,10,9,8,1,7]=>[7,1,8,9,10,2,3,4,11,5,12,6]
[6,12,5,11,4,3,2,10,9,1,8,7]=>[7,8,1,9,10,2,3,4,11,5,12,6]
[6,12,5,11,4,3,2,10,1,9,8,7]=>[7,8,9,1,10,2,3,4,11,5,12,6]
[6,12,5,11,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,11,5,12,6]
[6,12,5,4,11,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,11,4,5,12,6]
[6,12,5,4,11,10,3,9,2,1,8,7]=>[7,8,1,2,9,3,10,11,4,5,12,6]
[6,12,5,4,11,10,3,2,9,8,1,7]=>[7,1,8,9,2,3,10,11,4,5,12,6]
[6,12,5,4,11,10,3,2,9,1,8,7]=>[7,8,1,9,2,3,10,11,4,5,12,6]
[6,12,5,4,11,10,3,2,1,9,8,7]=>[7,8,9,1,2,3,10,11,4,5,12,6]
[6,12,5,4,11,3,10,9,2,8,1,7]=>[7,1,8,2,9,10,3,11,4,5,12,6]
[6,12,5,4,11,3,10,9,2,1,8,7]=>[7,8,1,2,9,10,3,11,4,5,12,6]
[6,12,5,4,11,3,10,2,9,8,1,7]=>[7,1,8,9,2,10,3,11,4,5,12,6]
[6,12,5,4,11,3,10,2,9,1,8,7]=>[7,8,1,9,2,10,3,11,4,5,12,6]
[6,12,5,4,11,3,10,2,1,9,8,7]=>[7,8,9,1,2,10,3,11,4,5,12,6]
[6,12,5,4,11,3,2,10,9,8,1,7]=>[7,1,8,9,10,2,3,11,4,5,12,6]
[6,12,5,4,11,3,2,10,9,1,8,7]=>[7,8,1,9,10,2,3,11,4,5,12,6]
[6,12,5,4,11,3,2,10,1,9,8,7]=>[7,8,9,1,10,2,3,11,4,5,12,6]
[6,12,5,4,11,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,11,4,5,12,6]
[6,12,5,4,3,11,10,9,2,8,1,7]=>[7,1,8,2,9,10,11,3,4,5,12,6]
[6,12,5,4,3,11,10,9,2,1,8,7]=>[7,8,1,2,9,10,11,3,4,5,12,6]
[6,12,5,4,3,11,10,2,9,8,1,7]=>[7,1,8,9,2,10,11,3,4,5,12,6]
[6,12,5,4,3,11,10,2,9,1,8,7]=>[7,8,1,9,2,10,11,3,4,5,12,6]
[6,12,5,4,3,11,10,2,1,9,8,7]=>[7,8,9,1,2,10,11,3,4,5,12,6]
[6,12,5,4,3,11,2,10,9,8,1,7]=>[7,1,8,9,10,2,11,3,4,5,12,6]
[6,12,5,4,3,11,2,10,9,1,8,7]=>[7,8,1,9,10,2,11,3,4,5,12,6]
[6,12,5,4,3,11,2,10,1,9,8,7]=>[7,8,9,1,10,2,11,3,4,5,12,6]
[6,12,5,4,3,11,2,1,10,9,8,7]=>[7,8,9,10,1,2,11,3,4,5,12,6]
[6,12,5,4,3,2,11,10,9,8,1,7]=>[7,1,8,9,10,11,2,3,4,5,12,6]
[6,12,5,4,3,2,11,10,9,1,8,7]=>[7,8,1,9,10,11,2,3,4,5,12,6]
[6,12,5,4,3,2,11,10,1,9,8,7]=>[7,8,9,1,10,11,2,3,4,5,12,6]
[6,12,5,4,3,2,11,1,10,9,8,7]=>[7,8,9,10,1,11,2,3,4,5,12,6]
[6,12,5,4,3,2,1,11,10,9,8,7]=>[7,8,9,10,11,1,2,3,4,5,12,6]
[6,5,12,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,12,5,6]
[6,5,12,11,4,10,3,9,2,1,8,7]=>[7,8,1,2,9,3,10,4,11,12,5,6]
[6,5,12,11,4,10,3,2,9,8,1,7]=>[7,1,8,9,2,3,10,4,11,12,5,6]
[6,5,12,11,4,10,3,2,9,1,8,7]=>[7,8,1,9,2,3,10,4,11,12,5,6]
[6,5,12,11,4,10,3,2,1,9,8,7]=>[7,8,9,1,2,3,10,4,11,12,5,6]
[6,5,12,11,4,3,10,9,2,8,1,7]=>[7,1,8,2,9,10,3,4,11,12,5,6]
[6,5,12,11,4,3,10,9,2,1,8,7]=>[7,8,1,2,9,10,3,4,11,12,5,6]
[6,5,12,11,4,3,10,2,9,8,1,7]=>[7,1,8,9,2,10,3,4,11,12,5,6]
[6,5,12,11,4,3,10,2,9,1,8,7]=>[7,8,1,9,2,10,3,4,11,12,5,6]
[6,5,12,11,4,3,10,2,1,9,8,7]=>[7,8,9,1,2,10,3,4,11,12,5,6]
[6,5,12,11,4,3,2,10,9,8,1,7]=>[7,1,8,9,10,2,3,4,11,12,5,6]
[6,5,12,11,4,3,2,10,9,1,8,7]=>[7,8,1,9,10,2,3,4,11,12,5,6]
[6,5,12,11,4,3,2,10,1,9,8,7]=>[7,8,9,1,10,2,3,4,11,12,5,6]
[6,5,12,11,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,11,12,5,6]
[6,5,12,4,11,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,11,4,12,5,6]
[6,5,12,4,11,10,3,9,2,1,8,7]=>[7,8,1,2,9,3,10,11,4,12,5,6]
[6,5,12,4,11,10,3,2,9,8,1,7]=>[7,1,8,9,2,3,10,11,4,12,5,6]
[6,5,12,4,11,10,3,2,9,1,8,7]=>[7,8,1,9,2,3,10,11,4,12,5,6]
[6,5,12,4,11,10,3,2,1,9,8,7]=>[7,8,9,1,2,3,10,11,4,12,5,6]
[6,5,12,4,11,3,10,9,2,8,1,7]=>[7,1,8,2,9,10,3,11,4,12,5,6]
[6,5,12,4,11,3,10,9,2,1,8,7]=>[7,8,1,2,9,10,3,11,4,12,5,6]
[6,5,12,4,11,3,10,2,9,8,1,7]=>[7,1,8,9,2,10,3,11,4,12,5,6]
[6,5,12,4,11,3,10,2,9,1,8,7]=>[7,8,1,9,2,10,3,11,4,12,5,6]
[6,5,12,4,11,3,10,2,1,9,8,7]=>[7,8,9,1,2,10,3,11,4,12,5,6]
[6,5,12,4,11,3,2,10,9,8,1,7]=>[7,1,8,9,10,2,3,11,4,12,5,6]
[6,5,12,4,11,3,2,10,9,1,8,7]=>[7,8,1,9,10,2,3,11,4,12,5,6]
[6,5,12,4,11,3,2,10,1,9,8,7]=>[7,8,9,1,10,2,3,11,4,12,5,6]
[6,5,12,4,11,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,11,4,12,5,6]
[6,5,12,4,3,11,10,9,2,8,1,7]=>[7,1,8,2,9,10,11,3,4,12,5,6]
[6,5,12,4,3,11,10,9,2,1,8,7]=>[7,8,1,2,9,10,11,3,4,12,5,6]
[6,5,12,4,3,11,10,2,9,8,1,7]=>[7,1,8,9,2,10,11,3,4,12,5,6]
[6,5,12,4,3,11,10,2,9,1,8,7]=>[7,8,1,9,2,10,11,3,4,12,5,6]
[6,5,12,4,3,11,10,2,1,9,8,7]=>[7,8,9,1,2,10,11,3,4,12,5,6]
[6,5,12,4,3,11,2,10,9,8,1,7]=>[7,1,8,9,10,2,11,3,4,12,5,6]
[6,5,12,4,3,11,2,10,9,1,8,7]=>[7,8,1,9,10,2,11,3,4,12,5,6]
[6,5,12,4,3,11,2,10,1,9,8,7]=>[7,8,9,1,10,2,11,3,4,12,5,6]
[6,5,12,4,3,11,2,1,10,9,8,7]=>[7,8,9,10,1,2,11,3,4,12,5,6]
[6,5,12,4,3,2,11,10,9,8,1,7]=>[7,1,8,9,10,11,2,3,4,12,5,6]
[6,5,12,4,3,2,11,10,9,1,8,7]=>[7,8,1,9,10,11,2,3,4,12,5,6]
[6,5,12,4,3,2,11,10,1,9,8,7]=>[7,8,9,1,10,11,2,3,4,12,5,6]
[6,5,12,4,3,2,11,1,10,9,8,7]=>[7,8,9,10,1,11,2,3,4,12,5,6]
[6,5,12,4,3,2,1,11,10,9,8,7]=>[7,8,9,10,11,1,2,3,4,12,5,6]
[6,5,4,12,11,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,11,12,4,5,6]
[6,5,4,12,11,10,3,9,2,1,8,7]=>[7,8,1,2,9,3,10,11,12,4,5,6]
[6,5,4,12,11,10,3,2,9,8,1,7]=>[7,1,8,9,2,3,10,11,12,4,5,6]
[6,5,4,12,11,10,3,2,9,1,8,7]=>[7,8,1,9,2,3,10,11,12,4,5,6]
[6,5,4,12,11,10,3,2,1,9,8,7]=>[7,8,9,1,2,3,10,11,12,4,5,6]
[6,5,4,12,11,3,10,9,2,8,1,7]=>[7,1,8,2,9,10,3,11,12,4,5,6]
[6,5,4,12,11,3,10,9,2,1,8,7]=>[7,8,1,2,9,10,3,11,12,4,5,6]
[6,5,4,12,11,3,10,2,9,8,1,7]=>[7,1,8,9,2,10,3,11,12,4,5,6]
[6,5,4,12,11,3,10,2,9,1,8,7]=>[7,8,1,9,2,10,3,11,12,4,5,6]
[6,5,4,12,11,3,10,2,1,9,8,7]=>[7,8,9,1,2,10,3,11,12,4,5,6]
[6,5,4,12,11,3,2,10,9,8,1,7]=>[7,1,8,9,10,2,3,11,12,4,5,6]
[6,5,4,12,11,3,2,10,9,1,8,7]=>[7,8,1,9,10,2,3,11,12,4,5,6]
[6,5,4,12,11,3,2,10,1,9,8,7]=>[7,8,9,1,10,2,3,11,12,4,5,6]
[6,5,4,12,11,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,11,12,4,5,6]
[6,5,4,12,3,11,10,9,2,8,1,7]=>[7,1,8,2,9,10,11,3,12,4,5,6]
[6,5,4,12,3,11,10,9,2,1,8,7]=>[7,8,1,2,9,10,11,3,12,4,5,6]
[6,5,4,12,3,11,10,2,9,8,1,7]=>[7,1,8,9,2,10,11,3,12,4,5,6]
[6,5,4,12,3,11,10,2,9,1,8,7]=>[7,8,1,9,2,10,11,3,12,4,5,6]
[6,5,4,12,3,11,10,2,1,9,8,7]=>[7,8,9,1,2,10,11,3,12,4,5,6]
[6,5,4,12,3,11,2,10,9,8,1,7]=>[7,1,8,9,10,2,11,3,12,4,5,6]
[6,5,4,12,3,11,2,10,9,1,8,7]=>[7,8,1,9,10,2,11,3,12,4,5,6]
[6,5,4,12,3,11,2,10,1,9,8,7]=>[7,8,9,1,10,2,11,3,12,4,5,6]
[6,5,4,12,3,11,2,1,10,9,8,7]=>[7,8,9,10,1,2,11,3,12,4,5,6]
[6,5,4,12,3,2,11,10,9,8,1,7]=>[7,1,8,9,10,11,2,3,12,4,5,6]
[6,5,4,12,3,2,11,10,9,1,8,7]=>[7,8,1,9,10,11,2,3,12,4,5,6]
[6,5,4,12,3,2,11,10,1,9,8,7]=>[7,8,9,1,10,11,2,3,12,4,5,6]
[6,5,4,12,3,2,11,1,10,9,8,7]=>[7,8,9,10,1,11,2,3,12,4,5,6]
[6,5,4,12,3,2,1,11,10,9,8,7]=>[7,8,9,10,11,1,2,3,12,4,5,6]
[6,5,4,3,12,11,10,9,2,8,1,7]=>[7,1,8,2,9,10,11,12,3,4,5,6]
[6,5,4,3,12,11,10,9,2,1,8,7]=>[7,8,1,2,9,10,11,12,3,4,5,6]
[6,5,4,3,12,11,10,2,9,8,1,7]=>[7,1,8,9,2,10,11,12,3,4,5,6]
[6,5,4,3,12,11,10,2,9,1,8,7]=>[7,8,1,9,2,10,11,12,3,4,5,6]
[6,5,4,3,12,11,10,2,1,9,8,7]=>[7,8,9,1,2,10,11,12,3,4,5,6]
[6,5,4,3,12,11,2,10,9,8,1,7]=>[7,1,8,9,10,2,11,12,3,4,5,6]
[6,5,4,3,12,11,2,10,9,1,8,7]=>[7,8,1,9,10,2,11,12,3,4,5,6]
[6,5,4,3,12,11,2,10,1,9,8,7]=>[7,8,9,1,10,2,11,12,3,4,5,6]
[6,5,4,3,12,11,2,1,10,9,8,7]=>[7,8,9,10,1,2,11,12,3,4,5,6]
[6,5,4,3,12,2,11,10,9,8,1,7]=>[7,1,8,9,10,11,2,12,3,4,5,6]
[6,5,4,3,12,2,11,10,9,1,8,7]=>[7,8,1,9,10,11,2,12,3,4,5,6]
[6,5,4,3,12,2,11,10,1,9,8,7]=>[7,8,9,1,10,11,2,12,3,4,5,6]
[6,5,4,3,12,2,11,1,10,9,8,7]=>[7,8,9,10,1,11,2,12,3,4,5,6]
[6,5,4,3,12,2,1,11,10,9,8,7]=>[7,8,9,10,11,1,2,12,3,4,5,6]
[6,5,4,3,2,12,11,10,9,8,1,7]=>[7,1,8,9,10,11,12,2,3,4,5,6]
[6,5,4,3,2,12,11,10,9,1,8,7]=>[7,8,1,9,10,11,12,2,3,4,5,6]
[6,5,4,3,2,12,11,10,1,9,8,7]=>[7,8,9,1,10,11,12,2,3,4,5,6]
[6,5,4,3,2,12,11,1,10,9,8,7]=>[7,8,9,10,1,11,12,2,3,4,5,6]
[6,5,4,3,2,12,1,11,10,9,8,7]=>[7,8,9,10,11,1,12,2,3,4,5,6]
[3,5,7,9,11,1,4,6,8,10,12,2]=>[2,12,10,8,6,4,1,11,9,7,5,3]
[3,5,7,9,12,1,4,6,8,10,11,2]=>[2,11,10,8,6,4,1,12,9,7,5,3]
[3,5,7,10,11,1,4,6,8,9,12,2]=>[2,12,9,8,6,4,1,11,10,7,5,3]
[3,5,7,10,12,1,4,6,8,9,11,2]=>[2,11,9,8,6,4,1,12,10,7,5,3]
[3,5,7,11,12,1,4,6,8,9,10,2]=>[2,10,9,8,6,4,1,12,11,7,5,3]
[3,5,8,9,11,1,4,6,7,10,12,2]=>[2,12,10,7,6,4,1,11,9,8,5,3]
[3,5,8,9,12,1,4,6,7,10,11,2]=>[2,11,10,7,6,4,1,12,9,8,5,3]
[3,5,8,10,11,1,4,6,7,9,12,2]=>[2,12,9,7,6,4,1,11,10,8,5,3]
[3,5,8,10,12,1,4,6,7,9,11,2]=>[2,11,9,7,6,4,1,12,10,8,5,3]
[3,5,8,11,12,1,4,6,7,9,10,2]=>[2,10,9,7,6,4,1,12,11,8,5,3]
[3,5,9,10,11,1,4,6,7,8,12,2]=>[2,12,8,7,6,4,1,11,10,9,5,3]
[3,5,9,10,12,1,4,6,7,8,11,2]=>[2,11,8,7,6,4,1,12,10,9,5,3]
[3,5,9,11,12,1,4,6,7,8,10,2]=>[2,10,8,7,6,4,1,12,11,9,5,3]
[3,5,10,11,12,1,4,6,7,8,9,2]=>[2,9,8,7,6,4,1,12,11,10,5,3]
[3,6,7,9,11,1,4,5,8,10,12,2]=>[2,12,10,8,5,4,1,11,9,7,6,3]
[3,6,7,9,12,1,4,5,8,10,11,2]=>[2,11,10,8,5,4,1,12,9,7,6,3]
[3,6,7,10,11,1,4,5,8,9,12,2]=>[2,12,9,8,5,4,1,11,10,7,6,3]
[3,6,7,10,12,1,4,5,8,9,11,2]=>[2,11,9,8,5,4,1,12,10,7,6,3]
[3,6,7,11,12,1,4,5,8,9,10,2]=>[2,10,9,8,5,4,1,12,11,7,6,3]
[3,6,8,9,11,1,4,5,7,10,12,2]=>[2,12,10,7,5,4,1,11,9,8,6,3]
[3,6,8,9,12,1,4,5,7,10,11,2]=>[2,11,10,7,5,4,1,12,9,8,6,3]
[3,6,8,10,11,1,4,5,7,9,12,2]=>[2,12,9,7,5,4,1,11,10,8,6,3]
[3,6,8,10,12,1,4,5,7,9,11,2]=>[2,11,9,7,5,4,1,12,10,8,6,3]
[3,6,8,11,12,1,4,5,7,9,10,2]=>[2,10,9,7,5,4,1,12,11,8,6,3]
[3,6,9,10,11,1,4,5,7,8,12,2]=>[2,12,8,7,5,4,1,11,10,9,6,3]
[3,6,9,10,12,1,4,5,7,8,11,2]=>[2,11,8,7,5,4,1,12,10,9,6,3]
[3,6,9,11,12,1,4,5,7,8,10,2]=>[2,10,8,7,5,4,1,12,11,9,6,3]
[3,6,10,11,12,1,4,5,7,8,9,2]=>[2,9,8,7,5,4,1,12,11,10,6,3]
[3,7,8,9,11,1,4,5,6,10,12,2]=>[2,12,10,6,5,4,1,11,9,8,7,3]
[3,7,8,9,12,1,4,5,6,10,11,2]=>[2,11,10,6,5,4,1,12,9,8,7,3]
[3,7,8,10,11,1,4,5,6,9,12,2]=>[2,12,9,6,5,4,1,11,10,8,7,3]
[3,7,8,10,12,1,4,5,6,9,11,2]=>[2,11,9,6,5,4,1,12,10,8,7,3]
[3,7,8,11,12,1,4,5,6,9,10,2]=>[2,10,9,6,5,4,1,12,11,8,7,3]
[3,7,9,10,11,1,4,5,6,8,12,2]=>[2,12,8,6,5,4,1,11,10,9,7,3]
[3,7,9,10,12,1,4,5,6,8,11,2]=>[2,11,8,6,5,4,1,12,10,9,7,3]
[3,7,9,11,12,1,4,5,6,8,10,2]=>[2,10,8,6,5,4,1,12,11,9,7,3]
[3,7,10,11,12,1,4,5,6,8,9,2]=>[2,9,8,6,5,4,1,12,11,10,7,3]
[3,8,9,10,11,1,4,5,6,7,12,2]=>[2,12,7,6,5,4,1,11,10,9,8,3]
[3,8,9,10,12,1,4,5,6,7,11,2]=>[2,11,7,6,5,4,1,12,10,9,8,3]
[3,8,9,11,12,1,4,5,6,7,10,2]=>[2,10,7,6,5,4,1,12,11,9,8,3]
[3,8,10,11,12,1,4,5,6,7,9,2]=>[2,9,7,6,5,4,1,12,11,10,8,3]
[3,9,10,11,12,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,12,11,10,9,3]
[4,5,7,9,11,1,3,6,8,10,12,2]=>[2,12,10,8,6,3,1,11,9,7,5,4]
[4,5,7,9,12,1,3,6,8,10,11,2]=>[2,11,10,8,6,3,1,12,9,7,5,4]
[4,5,7,10,11,1,3,6,8,9,12,2]=>[2,12,9,8,6,3,1,11,10,7,5,4]
[4,5,7,10,12,1,3,6,8,9,11,2]=>[2,11,9,8,6,3,1,12,10,7,5,4]
[4,5,7,11,12,1,3,6,8,9,10,2]=>[2,10,9,8,6,3,1,12,11,7,5,4]
[4,5,8,9,11,1,3,6,7,10,12,2]=>[2,12,10,7,6,3,1,11,9,8,5,4]
[4,5,8,9,12,1,3,6,7,10,11,2]=>[2,11,10,7,6,3,1,12,9,8,5,4]
[4,5,8,10,11,1,3,6,7,9,12,2]=>[2,12,9,7,6,3,1,11,10,8,5,4]
[4,5,8,10,12,1,3,6,7,9,11,2]=>[2,11,9,7,6,3,1,12,10,8,5,4]
[4,5,8,11,12,1,3,6,7,9,10,2]=>[2,10,9,7,6,3,1,12,11,8,5,4]
[4,5,9,10,11,1,3,6,7,8,12,2]=>[2,12,8,7,6,3,1,11,10,9,5,4]
[4,5,9,10,12,1,3,6,7,8,11,2]=>[2,11,8,7,6,3,1,12,10,9,5,4]
[4,5,9,11,12,1,3,6,7,8,10,2]=>[2,10,8,7,6,3,1,12,11,9,5,4]
[4,5,10,11,12,1,3,6,7,8,9,2]=>[2,9,8,7,6,3,1,12,11,10,5,4]
[4,6,7,9,11,1,3,5,8,10,12,2]=>[2,12,10,8,5,3,1,11,9,7,6,4]
[4,6,7,9,12,1,3,5,8,10,11,2]=>[2,11,10,8,5,3,1,12,9,7,6,4]
[4,6,7,10,11,1,3,5,8,9,12,2]=>[2,12,9,8,5,3,1,11,10,7,6,4]
[4,6,7,10,12,1,3,5,8,9,11,2]=>[2,11,9,8,5,3,1,12,10,7,6,4]
[4,6,7,11,12,1,3,5,8,9,10,2]=>[2,10,9,8,5,3,1,12,11,7,6,4]
[4,6,8,9,11,1,3,5,7,10,12,2]=>[2,12,10,7,5,3,1,11,9,8,6,4]
[4,6,8,9,12,1,3,5,7,10,11,2]=>[2,11,10,7,5,3,1,12,9,8,6,4]
[4,6,8,10,11,1,3,5,7,9,12,2]=>[2,12,9,7,5,3,1,11,10,8,6,4]
[4,6,8,10,12,1,3,5,7,9,11,2]=>[2,11,9,7,5,3,1,12,10,8,6,4]
[4,6,8,11,12,1,3,5,7,9,10,2]=>[2,10,9,7,5,3,1,12,11,8,6,4]
[4,6,9,10,11,1,3,5,7,8,12,2]=>[2,12,8,7,5,3,1,11,10,9,6,4]
[4,6,9,10,12,1,3,5,7,8,11,2]=>[2,11,8,7,5,3,1,12,10,9,6,4]
[4,6,9,11,12,1,3,5,7,8,10,2]=>[2,10,8,7,5,3,1,12,11,9,6,4]
[4,6,10,11,12,1,3,5,7,8,9,2]=>[2,9,8,7,5,3,1,12,11,10,6,4]
[4,7,8,9,11,1,3,5,6,10,12,2]=>[2,12,10,6,5,3,1,11,9,8,7,4]
[4,7,8,9,12,1,3,5,6,10,11,2]=>[2,11,10,6,5,3,1,12,9,8,7,4]
[4,7,8,10,11,1,3,5,6,9,12,2]=>[2,12,9,6,5,3,1,11,10,8,7,4]
[4,7,8,10,12,1,3,5,6,9,11,2]=>[2,11,9,6,5,3,1,12,10,8,7,4]
[4,7,8,11,12,1,3,5,6,9,10,2]=>[2,10,9,6,5,3,1,12,11,8,7,4]
[4,7,9,10,11,1,3,5,6,8,12,2]=>[2,12,8,6,5,3,1,11,10,9,7,4]
[4,7,9,10,12,1,3,5,6,8,11,2]=>[2,11,8,6,5,3,1,12,10,9,7,4]
[4,7,9,11,12,1,3,5,6,8,10,2]=>[2,10,8,6,5,3,1,12,11,9,7,4]
[4,7,10,11,12,1,3,5,6,8,9,2]=>[2,9,8,6,5,3,1,12,11,10,7,4]
[4,8,9,10,11,1,3,5,6,7,12,2]=>[2,12,7,6,5,3,1,11,10,9,8,4]
[4,8,9,10,12,1,3,5,6,7,11,2]=>[2,11,7,6,5,3,1,12,10,9,8,4]
[4,8,9,11,12,1,3,5,6,7,10,2]=>[2,10,7,6,5,3,1,12,11,9,8,4]
[4,8,10,11,12,1,3,5,6,7,9,2]=>[2,9,7,6,5,3,1,12,11,10,8,4]
[4,9,10,11,12,1,3,5,6,7,8,2]=>[2,8,7,6,5,3,1,12,11,10,9,4]
[5,6,7,9,11,1,3,4,8,10,12,2]=>[2,12,10,8,4,3,1,11,9,7,6,5]
[5,6,7,9,12,1,3,4,8,10,11,2]=>[2,11,10,8,4,3,1,12,9,7,6,5]
[5,6,7,10,11,1,3,4,8,9,12,2]=>[2,12,9,8,4,3,1,11,10,7,6,5]
[5,6,7,10,12,1,3,4,8,9,11,2]=>[2,11,9,8,4,3,1,12,10,7,6,5]
[5,6,7,11,12,1,3,4,8,9,10,2]=>[2,10,9,8,4,3,1,12,11,7,6,5]
[5,6,8,9,11,1,3,4,7,10,12,2]=>[2,12,10,7,4,3,1,11,9,8,6,5]
[5,6,8,9,12,1,3,4,7,10,11,2]=>[2,11,10,7,4,3,1,12,9,8,6,5]
[5,6,8,10,11,1,3,4,7,9,12,2]=>[2,12,9,7,4,3,1,11,10,8,6,5]
[5,6,8,10,12,1,3,4,7,9,11,2]=>[2,11,9,7,4,3,1,12,10,8,6,5]
[5,6,8,11,12,1,3,4,7,9,10,2]=>[2,10,9,7,4,3,1,12,11,8,6,5]
[5,6,9,10,11,1,3,4,7,8,12,2]=>[2,12,8,7,4,3,1,11,10,9,6,5]
[5,6,9,10,12,1,3,4,7,8,11,2]=>[2,11,8,7,4,3,1,12,10,9,6,5]
[5,6,9,11,12,1,3,4,7,8,10,2]=>[2,10,8,7,4,3,1,12,11,9,6,5]
[5,6,10,11,12,1,3,4,7,8,9,2]=>[2,9,8,7,4,3,1,12,11,10,6,5]
[5,7,8,9,11,1,3,4,6,10,12,2]=>[2,12,10,6,4,3,1,11,9,8,7,5]
[5,7,8,9,12,1,3,4,6,10,11,2]=>[2,11,10,6,4,3,1,12,9,8,7,5]
[5,7,8,10,11,1,3,4,6,9,12,2]=>[2,12,9,6,4,3,1,11,10,8,7,5]
[5,7,8,10,12,1,3,4,6,9,11,2]=>[2,11,9,6,4,3,1,12,10,8,7,5]
[5,7,8,11,12,1,3,4,6,9,10,2]=>[2,10,9,6,4,3,1,12,11,8,7,5]
[5,7,9,10,11,1,3,4,6,8,12,2]=>[2,12,8,6,4,3,1,11,10,9,7,5]
[5,7,9,10,12,1,3,4,6,8,11,2]=>[2,11,8,6,4,3,1,12,10,9,7,5]
[5,7,9,11,12,1,3,4,6,8,10,2]=>[2,10,8,6,4,3,1,12,11,9,7,5]
[5,7,10,11,12,1,3,4,6,8,9,2]=>[2,9,8,6,4,3,1,12,11,10,7,5]
[5,8,9,10,11,1,3,4,6,7,12,2]=>[2,12,7,6,4,3,1,11,10,9,8,5]
[5,8,9,10,12,1,3,4,6,7,11,2]=>[2,11,7,6,4,3,1,12,10,9,8,5]
[5,8,9,11,12,1,3,4,6,7,10,2]=>[2,10,7,6,4,3,1,12,11,9,8,5]
[5,8,10,11,12,1,3,4,6,7,9,2]=>[2,9,7,6,4,3,1,12,11,10,8,5]
[5,9,10,11,12,1,3,4,6,7,8,2]=>[2,8,7,6,4,3,1,12,11,10,9,5]
[6,7,8,9,11,1,3,4,5,10,12,2]=>[2,12,10,5,4,3,1,11,9,8,7,6]
[6,7,8,9,12,1,3,4,5,10,11,2]=>[2,11,10,5,4,3,1,12,9,8,7,6]
[6,7,8,10,11,1,3,4,5,9,12,2]=>[2,12,9,5,4,3,1,11,10,8,7,6]
[6,7,8,10,12,1,3,4,5,9,11,2]=>[2,11,9,5,4,3,1,12,10,8,7,6]
[6,7,8,11,12,1,3,4,5,9,10,2]=>[2,10,9,5,4,3,1,12,11,8,7,6]
[6,7,9,10,11,1,3,4,5,8,12,2]=>[2,12,8,5,4,3,1,11,10,9,7,6]
[6,7,9,10,12,1,3,4,5,8,11,2]=>[2,11,8,5,4,3,1,12,10,9,7,6]
[6,7,9,11,12,1,3,4,5,8,10,2]=>[2,10,8,5,4,3,1,12,11,9,7,6]
[6,7,10,11,12,1,3,4,5,8,9,2]=>[2,9,8,5,4,3,1,12,11,10,7,6]
[6,8,9,10,11,1,3,4,5,7,12,2]=>[2,12,7,5,4,3,1,11,10,9,8,6]
[6,8,9,10,12,1,3,4,5,7,11,2]=>[2,11,7,5,4,3,1,12,10,9,8,6]
[6,8,9,11,12,1,3,4,5,7,10,2]=>[2,10,7,5,4,3,1,12,11,9,8,6]
[6,8,10,11,12,1,3,4,5,7,9,2]=>[2,9,7,5,4,3,1,12,11,10,8,6]
[6,9,10,11,12,1,3,4,5,7,8,2]=>[2,8,7,5,4,3,1,12,11,10,9,6]
[7,8,9,10,11,1,3,4,5,6,12,2]=>[2,12,6,5,4,3,1,11,10,9,8,7]
[7,8,9,10,12,1,3,4,5,6,11,2]=>[2,11,6,5,4,3,1,12,10,9,8,7]
[7,8,9,11,12,1,3,4,5,6,10,2]=>[2,10,6,5,4,3,1,12,11,9,8,7]
[7,8,10,11,12,1,3,4,5,6,9,2]=>[2,9,6,5,4,3,1,12,11,10,8,7]
[7,9,10,11,12,1,3,4,5,6,8,2]=>[2,8,6,5,4,3,1,12,11,10,9,7]
[8,9,10,11,12,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,12,11,10,9,8]
[2,1,4,3,6,5,8,7,12,9,11,10]=>[10,11,9,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,7,9,8,12,11]=>[11,12,8,9,7,10,5,6,3,4,1,2]
[2,1,4,3,6,5,12,11,9,7,8,10]=>[10,8,7,9,11,12,5,6,3,4,1,2]
[2,1,4,3,6,5,12,7,8,10,11,9]=>[9,11,10,8,7,12,5,6,3,4,1,2]
[2,1,4,3,8,5,7,6,10,9,12,11]=>[11,12,9,10,6,7,5,8,3,4,1,2]
[2,1,4,3,8,5,7,6,12,9,11,10]=>[10,11,9,12,6,7,5,8,3,4,1,2]
[2,1,4,3,10,9,7,5,6,8,12,11]=>[11,12,8,6,5,7,9,10,3,4,1,2]
[2,1,4,3,12,9,7,11,6,5,8,10]=>[10,8,5,6,11,7,9,12,3,4,1,2]
[2,1,4,3,12,10,7,5,8,6,11,9]=>[9,11,6,8,5,7,10,12,3,4,1,2]
[2,1,4,3,10,5,6,8,9,7,12,11]=>[11,12,7,9,8,6,5,10,3,4,1,2]
[2,1,4,3,12,11,6,8,9,5,7,10]=>[10,7,5,9,8,6,11,12,3,4,1,2]
[2,1,4,3,12,5,11,8,6,10,7,9]=>[9,7,10,6,8,11,5,12,3,4,1,2]
[2,1,4,3,12,5,6,7,9,10,11,8]=>[8,11,10,9,7,6,5,12,3,4,1,2]
[2,1,6,3,5,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,5,3,6,1,2]
[2,1,6,3,5,4,8,7,12,9,11,10]=>[10,11,9,12,7,8,4,5,3,6,1,2]
[2,1,6,3,5,4,10,7,9,8,12,11]=>[11,12,8,9,7,10,4,5,3,6,1,2]
[2,1,6,3,5,4,12,11,9,7,8,10]=>[10,8,7,9,11,12,4,5,3,6,1,2]
[2,1,6,3,5,4,12,7,8,10,11,9]=>[9,11,10,8,7,12,4,5,3,6,1,2]
[2,1,8,7,5,3,4,6,10,9,12,11]=>[11,12,9,10,6,4,3,5,7,8,1,2]
[2,1,8,7,5,3,4,6,12,9,11,10]=>[10,11,9,12,6,4,3,5,7,8,1,2]
[2,1,10,7,5,9,4,3,6,8,12,11]=>[11,12,8,6,3,4,9,5,7,10,1,2]
[2,1,12,7,5,9,4,11,6,3,8,10]=>[10,8,3,6,11,4,9,5,7,12,1,2]
[2,1,12,7,5,10,4,3,8,6,11,9]=>[9,11,6,8,3,4,10,5,7,12,1,2]
[2,1,10,8,5,3,6,4,9,7,12,11]=>[11,12,7,9,4,6,3,5,8,10,1,2]
[2,1,12,8,5,11,6,4,9,3,7,10]=>[10,7,3,9,4,6,11,5,8,12,1,2]
[2,1,12,8,5,3,11,4,6,10,7,9]=>[9,7,10,6,4,11,3,5,8,12,1,2]
[2,1,12,9,5,3,6,7,4,10,11,8]=>[8,11,10,4,7,6,3,5,9,12,1,2]
[2,1,8,3,4,6,7,5,10,9,12,11]=>[11,12,9,10,5,7,6,4,3,8,1,2]
[2,1,8,3,4,6,7,5,12,9,11,10]=>[10,11,9,12,5,7,6,4,3,8,1,2]
[2,1,10,9,4,6,7,3,5,8,12,11]=>[11,12,8,5,3,7,6,4,9,10,1,2]
[2,1,12,9,4,6,7,11,5,3,8,10]=>[10,8,3,5,11,7,6,4,9,12,1,2]
[2,1,12,10,4,6,7,3,8,5,11,9]=>[9,11,5,8,3,7,6,4,10,12,1,2]
[2,1,10,3,9,6,4,8,5,7,12,11]=>[11,12,7,5,8,4,6,9,3,10,1,2]
[2,1,12,11,9,6,4,8,5,3,7,10]=>[10,7,3,5,8,4,6,9,11,12,1,2]
[2,1,12,3,10,6,11,8,4,5,7,9]=>[9,7,5,4,8,11,6,10,3,12,1,2]
[2,1,12,3,10,6,4,7,9,5,11,8]=>[8,11,5,9,7,4,6,10,3,12,1,2]
[2,1,10,3,4,5,7,8,9,6,12,11]=>[11,12,6,9,8,7,5,4,3,10,1,2]
[2,1,12,11,4,5,7,8,9,3,6,10]=>[10,6,3,9,8,7,5,4,11,12,1,2]
[2,1,12,3,11,5,7,8,4,10,6,9]=>[9,6,10,4,8,7,5,11,3,12,1,2]
[2,1,12,3,4,11,7,5,9,10,6,8]=>[8,6,10,9,5,7,11,4,3,12,1,2]
[2,1,12,3,4,5,6,8,9,10,11,7]=>[7,11,10,9,8,6,5,4,3,12,1,2]
[4,1,3,2,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,2,3,1,4]
[4,1,3,2,6,5,8,7,12,9,11,10]=>[10,11,9,12,7,8,5,6,2,3,1,4]
[4,1,3,2,6,5,10,7,9,8,12,11]=>[11,12,8,9,7,10,5,6,2,3,1,4]
[4,1,3,2,6,5,12,11,9,7,8,10]=>[10,8,7,9,11,12,5,6,2,3,1,4]
[4,1,3,2,6,5,12,7,8,10,11,9]=>[9,11,10,8,7,12,5,6,2,3,1,4]
[4,1,3,2,8,5,7,6,10,9,12,11]=>[11,12,9,10,6,7,5,8,2,3,1,4]
[4,1,3,2,8,5,7,6,12,9,11,10]=>[10,11,9,12,6,7,5,8,2,3,1,4]
[4,1,3,2,10,9,7,5,6,8,12,11]=>[11,12,8,6,5,7,9,10,2,3,1,4]
[4,1,3,2,12,9,7,11,6,5,8,10]=>[10,8,5,6,11,7,9,12,2,3,1,4]
[4,1,3,2,12,10,7,5,8,6,11,9]=>[9,11,6,8,5,7,10,12,2,3,1,4]
[4,1,3,2,10,5,6,8,9,7,12,11]=>[11,12,7,9,8,6,5,10,2,3,1,4]
[4,1,3,2,12,11,6,8,9,5,7,10]=>[10,7,5,9,8,6,11,12,2,3,1,4]
[4,1,3,2,12,5,11,8,6,10,7,9]=>[9,7,10,6,8,11,5,12,2,3,1,4]
[4,1,3,2,12,5,6,7,9,10,11,8]=>[8,11,10,9,7,6,5,12,2,3,1,4]
[6,5,3,1,2,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,2,1,3,5,6]
[6,5,3,1,2,4,8,7,12,9,11,10]=>[10,11,9,12,7,8,4,2,1,3,5,6]
[6,5,3,1,2,4,10,7,9,8,12,11]=>[11,12,8,9,7,10,4,2,1,3,5,6]
[6,5,3,1,2,4,12,11,9,7,8,10]=>[10,8,7,9,11,12,4,2,1,3,5,6]
[6,5,3,1,2,4,12,7,8,10,11,9]=>[9,11,10,8,7,12,4,2,1,3,5,6]
[8,5,3,7,2,1,4,6,10,9,12,11]=>[11,12,9,10,6,4,1,2,7,3,5,8]
[8,5,3,7,2,1,4,6,12,9,11,10]=>[10,11,9,12,6,4,1,2,7,3,5,8]
[10,5,3,7,2,9,4,1,6,8,12,11]=>[11,12,8,6,1,4,9,2,7,3,5,10]
[12,5,3,7,2,9,4,11,6,1,8,10]=>[10,8,1,6,11,4,9,2,7,3,5,12]
[12,5,3,7,2,10,4,1,8,6,11,9]=>[9,11,6,8,1,4,10,2,7,3,5,12]
[10,5,3,8,2,1,6,4,9,7,12,11]=>[11,12,7,9,4,6,1,2,8,3,5,10]
[12,5,3,8,2,11,6,4,9,1,7,10]=>[10,7,1,9,4,6,11,2,8,3,5,12]
[12,5,3,8,2,1,11,4,6,10,7,9]=>[9,7,10,6,4,11,1,2,8,3,5,12]
[12,5,3,9,2,1,6,7,4,10,11,8]=>[8,11,10,4,7,6,1,2,9,3,5,12]
[8,6,3,1,4,2,7,5,10,9,12,11]=>[11,12,9,10,5,7,2,4,1,3,6,8]
[8,6,3,1,4,2,7,5,12,9,11,10]=>[10,11,9,12,5,7,2,4,1,3,6,8]
[10,6,3,9,4,2,7,1,5,8,12,11]=>[11,12,8,5,1,7,2,4,9,3,6,10]
[12,6,3,9,4,2,7,11,5,1,8,10]=>[10,8,1,5,11,7,2,4,9,3,6,12]
[12,6,3,10,4,2,7,1,8,5,11,9]=>[9,11,5,8,1,7,2,4,10,3,6,12]
[10,6,3,1,9,2,4,8,5,7,12,11]=>[11,12,7,5,8,4,2,9,1,3,6,10]
[12,6,3,11,9,2,4,8,5,1,7,10]=>[10,7,1,5,8,4,2,9,11,3,6,12]
[12,6,3,1,10,2,11,8,4,5,7,9]=>[9,7,5,4,8,11,2,10,1,3,6,12]
[12,6,3,1,10,2,4,7,9,5,11,8]=>[8,11,5,9,7,4,2,10,1,3,6,12]
[10,7,3,1,4,5,2,8,9,6,12,11]=>[11,12,6,9,8,2,5,4,1,3,7,10]
[12,7,3,11,4,5,2,8,9,1,6,10]=>[10,6,1,9,8,2,5,4,11,3,7,12]
[12,7,3,1,11,5,2,8,4,10,6,9]=>[9,6,10,4,8,2,5,11,1,3,7,12]
[12,7,3,1,4,11,2,5,9,10,6,8]=>[8,6,10,9,5,2,11,4,1,3,7,12]
[12,8,3,1,4,5,6,2,9,10,11,7]=>[7,11,10,9,2,6,5,4,1,3,8,12]
[6,1,2,4,5,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,5,4,2,1,6]
[6,1,2,4,5,3,8,7,12,9,11,10]=>[10,11,9,12,7,8,3,5,4,2,1,6]
[6,1,2,4,5,3,10,7,9,8,12,11]=>[11,12,8,9,7,10,3,5,4,2,1,6]
[6,1,2,4,5,3,12,11,9,7,8,10]=>[10,8,7,9,11,12,3,5,4,2,1,6]
[6,1,2,4,5,3,12,7,8,10,11,9]=>[9,11,10,8,7,12,3,5,4,2,1,6]
[8,7,2,4,5,1,3,6,10,9,12,11]=>[11,12,9,10,6,3,1,5,4,2,7,8]
[8,7,2,4,5,1,3,6,12,9,11,10]=>[10,11,9,12,6,3,1,5,4,2,7,8]
[10,7,2,4,5,9,3,1,6,8,12,11]=>[11,12,8,6,1,3,9,5,4,2,7,10]
[12,7,2,4,5,9,3,11,6,1,8,10]=>[10,8,1,6,11,3,9,5,4,2,7,12]
[12,7,2,4,5,10,3,1,8,6,11,9]=>[9,11,6,8,1,3,10,5,4,2,7,12]
[10,8,2,4,5,1,6,3,9,7,12,11]=>[11,12,7,9,3,6,1,5,4,2,8,10]
[12,8,2,4,5,11,6,3,9,1,7,10]=>[10,7,1,9,3,6,11,5,4,2,8,12]
[12,8,2,4,5,1,11,3,6,10,7,9]=>[9,7,10,6,3,11,1,5,4,2,8,12]
[12,9,2,4,5,1,6,7,3,10,11,8]=>[8,11,10,3,7,6,1,5,4,2,9,12]
[8,1,7,4,2,6,3,5,10,9,12,11]=>[11,12,9,10,5,3,6,2,4,7,1,8]
[8,1,7,4,2,6,3,5,12,9,11,10]=>[10,11,9,12,5,3,6,2,4,7,1,8]
[10,9,7,4,2,6,3,1,5,8,12,11]=>[11,12,8,5,1,3,6,2,4,7,9,10]
[12,9,7,4,2,6,3,11,5,1,8,10]=>[10,8,1,5,11,3,6,2,4,7,9,12]
[12,10,7,4,2,6,3,1,8,5,11,9]=>[9,11,5,8,1,3,6,2,4,7,10,12]
[10,1,8,4,9,6,2,3,5,7,12,11]=>[11,12,7,5,3,2,6,9,4,8,1,10]
[12,11,8,4,9,6,2,3,5,1,7,10]=>[10,7,1,5,3,2,6,9,4,8,11,12]
[12,1,8,4,10,6,11,3,2,5,7,9]=>[9,7,5,2,3,11,6,10,4,8,1,12]
[12,1,9,4,10,6,2,7,3,5,11,8]=>[8,11,5,3,7,2,6,10,4,9,1,12]
[10,1,8,4,2,5,7,3,9,6,12,11]=>[11,12,6,9,3,7,5,2,4,8,1,10]
[12,11,8,4,2,5,7,3,9,1,6,10]=>[10,6,1,9,3,7,5,2,4,8,11,12]
[12,1,8,4,11,5,7,3,2,10,6,9]=>[9,6,10,2,3,7,5,11,4,8,1,12]
[12,1,9,4,2,11,7,5,3,10,6,8]=>[8,6,10,3,5,7,11,2,4,9,1,12]
[12,1,9,4,2,5,6,8,3,10,11,7]=>[7,11,10,3,8,6,5,2,4,9,1,12]
[8,1,2,3,5,6,7,4,10,9,12,11]=>[11,12,9,10,4,7,6,5,3,2,1,8]
[8,1,2,3,5,6,7,4,12,9,11,10]=>[10,11,9,12,4,7,6,5,3,2,1,8]
[10,9,2,3,5,6,7,1,4,8,12,11]=>[11,12,8,4,1,7,6,5,3,2,9,10]
[12,9,2,3,5,6,7,11,4,1,8,10]=>[10,8,1,4,11,7,6,5,3,2,9,12]
[12,10,2,3,5,6,7,1,8,4,11,9]=>[9,11,4,8,1,7,6,5,3,2,10,12]
[10,1,9,3,5,6,2,8,4,7,12,11]=>[11,12,7,4,8,2,6,5,3,9,1,10]
[12,11,9,3,5,6,2,8,4,1,7,10]=>[10,7,1,4,8,2,6,5,3,9,11,12]
[12,1,10,3,5,6,11,8,2,4,7,9]=>[9,7,4,2,8,11,6,5,3,10,1,12]
[12,1,10,3,5,6,2,7,9,4,11,8]=>[8,11,4,9,7,2,6,5,3,10,1,12]
[10,1,2,9,5,3,7,8,4,6,12,11]=>[11,12,6,4,8,7,3,5,9,2,1,10]
[12,11,2,9,5,3,7,8,4,1,6,10]=>[10,6,1,4,8,7,3,5,9,2,11,12]
[12,1,11,10,5,3,7,8,2,4,6,9]=>[9,6,4,2,8,7,3,5,10,11,1,12]
[12,1,2,10,5,11,7,3,9,4,6,8]=>[8,6,4,9,3,7,11,5,10,2,1,12]
[12,1,2,10,5,3,6,8,9,4,11,7]=>[7,11,4,9,8,6,3,5,10,2,1,12]
[10,1,2,3,4,6,7,8,9,5,12,11]=>[11,12,5,9,8,7,6,4,3,2,1,10]
[12,11,2,3,4,6,7,8,9,1,5,10]=>[10,5,1,9,8,7,6,4,3,2,11,12]
[12,1,11,3,4,6,7,8,2,10,5,9]=>[9,5,10,2,8,7,6,4,3,11,1,12]
[12,1,2,11,4,6,7,3,9,10,5,8]=>[8,5,10,9,3,7,6,4,11,2,1,12]
[12,1,2,3,11,6,4,8,9,10,5,7]=>[7,5,10,9,8,4,6,11,3,2,1,12]
[2,1,4,3,12,11,7,9,8,10,6,5]=>[5,6,10,8,9,7,11,12,3,4,1,2]
[2,1,4,3,12,11,9,8,7,10,6,5]=>[5,6,10,7,8,9,11,12,3,4,1,2]
[2,1,10,9,5,7,6,8,4,3,12,11]=>[11,12,3,4,8,6,7,5,9,10,1,2]
[2,1,12,11,5,7,6,9,8,10,4,3]=>[3,4,10,8,9,6,7,5,11,12,1,2]
[2,1,12,11,5,7,6,10,9,8,4,3]=>[3,4,8,9,10,6,7,5,11,12,1,2]
[2,1,12,11,5,9,8,7,6,10,4,3]=>[3,4,10,6,7,8,9,5,11,12,1,2]
[2,1,10,9,7,6,5,8,4,3,12,11]=>[11,12,3,4,8,5,6,7,9,10,1,2]
[2,1,12,11,7,6,5,9,8,10,4,3]=>[3,4,10,8,9,5,6,7,11,12,1,2]
[2,1,12,11,7,6,5,10,9,8,4,3]=>[3,4,8,9,10,5,6,7,11,12,1,2]
[2,1,12,11,9,8,7,6,5,10,4,3]=>[3,4,10,5,6,7,8,9,11,12,1,2]
[4,3,2,1,12,11,7,9,8,10,6,5]=>[5,6,10,8,9,7,11,12,1,2,3,4]
[4,3,2,1,12,11,9,8,7,10,6,5]=>[5,6,10,7,8,9,11,12,1,2,3,4]
[8,7,3,5,4,6,2,1,10,9,12,11]=>[11,12,9,10,1,2,6,4,5,3,7,8]
[8,7,3,5,4,6,2,1,12,11,10,9]=>[9,10,11,12,1,2,6,4,5,3,7,8]
[10,9,3,5,4,7,6,8,2,1,12,11]=>[11,12,1,2,8,6,7,4,5,3,9,10]
[12,11,3,5,4,7,6,9,8,10,2,1]=>[1,2,10,8,9,6,7,4,5,3,11,12]
[12,11,3,5,4,7,6,10,9,8,2,1]=>[1,2,8,9,10,6,7,4,5,3,11,12]
[10,9,3,5,4,8,7,6,2,1,12,11]=>[11,12,1,2,6,7,8,4,5,3,9,10]
[12,11,3,5,4,9,8,7,6,10,2,1]=>[1,2,10,6,7,8,9,4,5,3,11,12]
[12,11,3,5,4,10,9,8,7,6,2,1]=>[1,2,6,7,8,9,10,4,5,3,11,12]
[10,9,3,7,6,5,4,8,2,1,12,11]=>[11,12,1,2,8,4,5,6,7,3,9,10]
[12,11,3,7,6,5,4,9,8,10,2,1]=>[1,2,10,8,9,4,5,6,7,3,11,12]
[12,11,3,7,6,5,4,10,9,8,2,1]=>[1,2,8,9,10,4,5,6,7,3,11,12]
[12,11,3,9,8,6,7,5,4,10,2,1]=>[1,2,10,4,5,7,6,8,9,3,11,12]
[12,11,3,10,9,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,9,10,3,11,12]
[12,11,3,9,8,7,6,5,4,10,2,1]=>[1,2,10,4,5,6,7,8,9,3,11,12]
[8,7,5,4,3,6,2,1,10,9,12,11]=>[11,12,9,10,1,2,6,3,4,5,7,8]
[8,7,5,4,3,6,2,1,12,11,10,9]=>[9,10,11,12,1,2,6,3,4,5,7,8]
[10,9,5,4,3,7,6,8,2,1,12,11]=>[11,12,1,2,8,6,7,3,4,5,9,10]
[12,11,5,4,3,7,6,9,8,10,2,1]=>[1,2,10,8,9,6,7,3,4,5,11,12]
[12,11,5,4,3,7,6,10,9,8,2,1]=>[1,2,8,9,10,6,7,3,4,5,11,12]
[10,9,5,4,3,8,7,6,2,1,12,11]=>[11,12,1,2,6,7,8,3,4,5,9,10]
[12,11,5,4,3,9,8,7,6,10,2,1]=>[1,2,10,6,7,8,9,3,4,5,11,12]
[12,11,5,4,3,10,9,8,7,6,2,1]=>[1,2,6,7,8,9,10,3,4,5,11,12]
[10,9,7,6,5,4,3,8,2,1,12,11]=>[11,12,1,2,8,3,4,5,6,7,9,10]
[12,11,7,6,5,4,3,9,8,10,2,1]=>[1,2,10,8,9,3,4,5,6,7,11,12]
[12,11,7,6,5,4,3,10,9,8,2,1]=>[1,2,8,9,10,3,4,5,6,7,11,12]
[12,11,9,8,6,5,7,4,3,10,2,1]=>[1,2,10,3,4,7,5,6,8,9,11,12]
[12,11,9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9,11,12]
[2,1,4,3,6,5,8,7,12,9,10,11]=>[11,10,9,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,7,8,9,12,11]=>[11,12,9,8,7,10,5,6,3,4,1,2]
[2,1,4,3,6,5,12,11,8,7,10,9]=>[9,10,7,8,11,12,5,6,3,4,1,2]
[2,1,4,3,6,5,12,7,8,9,10,11]=>[11,10,9,8,7,12,5,6,3,4,1,2]
[2,1,4,3,8,5,6,7,10,9,12,11]=>[11,12,9,10,7,6,5,8,3,4,1,2]
[2,1,4,3,8,5,6,7,12,9,10,11]=>[11,10,9,12,7,6,5,8,3,4,1,2]
[2,1,4,3,10,9,6,5,8,7,12,11]=>[11,12,7,8,5,6,9,10,3,4,1,2]
[2,1,4,3,12,9,6,11,8,5,10,7]=>[7,10,5,8,11,6,9,12,3,4,1,2]
[2,1,4,3,12,11,6,5,8,9,10,7]=>[7,10,9,8,5,6,11,12,3,4,1,2]
[2,1,4,3,10,5,6,7,8,9,12,11]=>[11,12,9,8,7,6,5,10,3,4,1,2]
[2,1,4,3,12,11,6,7,8,5,10,9]=>[9,10,5,8,7,6,11,12,3,4,1,2]
[2,1,4,3,12,5,10,7,6,9,8,11]=>[11,8,9,6,7,10,5,12,3,4,1,2]
[2,1,4,3,12,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,12,3,4,1,2]
[2,1,6,3,4,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,4,3,6,1,2]
[2,1,6,3,4,5,8,7,12,9,10,11]=>[11,10,9,12,7,8,5,4,3,6,1,2]
[2,1,6,3,4,5,10,7,8,9,12,11]=>[11,12,9,8,7,10,5,4,3,6,1,2]
[2,1,6,3,4,5,12,11,8,7,10,9]=>[9,10,7,8,11,12,5,4,3,6,1,2]
[2,1,6,3,4,5,12,7,8,9,10,11]=>[11,10,9,8,7,12,5,4,3,6,1,2]
[2,1,8,7,4,3,6,5,10,9,12,11]=>[11,12,9,10,5,6,3,4,7,8,1,2]
[2,1,8,7,4,3,6,5,12,9,10,11]=>[11,10,9,12,5,6,3,4,7,8,1,2]
[2,1,10,7,4,9,6,3,8,5,12,11]=>[11,12,5,8,3,6,9,4,7,10,1,2]
[2,1,12,7,4,9,6,11,8,3,10,5]=>[5,10,3,8,11,6,9,4,7,12,1,2]
[2,1,12,7,4,11,6,3,8,9,10,5]=>[5,10,9,8,3,6,11,4,7,12,1,2]
[2,1,10,9,4,3,6,7,8,5,12,11]=>[11,12,5,8,7,6,3,4,9,10,1,2]
[2,1,12,9,4,11,6,7,8,3,10,5]=>[5,10,3,8,7,6,11,4,9,12,1,2]
[2,1,12,11,4,3,10,7,6,9,8,5]=>[5,8,9,6,7,10,3,4,11,12,1,2]
[2,1,12,11,4,3,6,7,8,9,10,5]=>[5,10,9,8,7,6,3,4,11,12,1,2]
[2,1,8,3,4,5,6,7,10,9,12,11]=>[11,12,9,10,7,6,5,4,3,8,1,2]
[2,1,8,3,4,5,6,7,12,9,10,11]=>[11,10,9,12,7,6,5,4,3,8,1,2]
[2,1,10,9,4,5,6,3,8,7,12,11]=>[11,12,7,8,3,6,5,4,9,10,1,2]
[2,1,12,9,4,5,6,11,8,3,10,7]=>[7,10,3,8,11,6,5,4,9,12,1,2]
[2,1,12,11,4,5,6,3,8,9,10,7]=>[7,10,9,8,3,6,5,4,11,12,1,2]
[2,1,10,3,8,5,4,7,6,9,12,11]=>[11,12,9,6,7,4,5,8,3,10,1,2]
[2,1,12,11,8,5,4,7,6,3,10,9]=>[9,10,3,6,7,4,5,8,11,12,1,2]
[2,1,12,3,8,5,10,7,4,9,6,11]=>[11,6,9,4,7,10,5,8,3,12,1,2]
[2,1,12,3,10,5,4,7,8,9,6,11]=>[11,6,9,8,7,4,5,10,3,12,1,2]
[2,1,10,3,4,5,6,7,8,9,12,11]=>[11,12,9,8,7,6,5,4,3,10,1,2]
[2,1,12,11,4,5,6,7,8,3,10,9]=>[9,10,3,8,7,6,5,4,11,12,1,2]
[2,1,12,3,10,5,6,7,4,9,8,11]=>[11,8,9,4,7,6,5,10,3,12,1,2]
[2,1,12,3,4,9,6,5,8,7,10,11]=>[11,10,7,8,5,6,9,4,3,12,1,2]
[2,1,12,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,12,1,2]
[4,1,2,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,2,1,4]
[4,1,2,3,6,5,8,7,12,9,10,11]=>[11,10,9,12,7,8,5,6,3,2,1,4]
[4,1,2,3,6,5,10,7,8,9,12,11]=>[11,12,9,8,7,10,5,6,3,2,1,4]
[4,1,2,3,6,5,12,11,8,7,10,9]=>[9,10,7,8,11,12,5,6,3,2,1,4]
[4,1,2,3,6,5,12,7,8,9,10,11]=>[11,10,9,8,7,12,5,6,3,2,1,4]
[4,1,2,3,8,5,6,7,10,9,12,11]=>[11,12,9,10,7,6,5,8,3,2,1,4]
[4,1,2,3,8,5,6,7,12,9,10,11]=>[11,10,9,12,7,6,5,8,3,2,1,4]
[4,1,2,3,10,9,6,5,8,7,12,11]=>[11,12,7,8,5,6,9,10,3,2,1,4]
[4,1,2,3,12,9,6,11,8,5,10,7]=>[7,10,5,8,11,6,9,12,3,2,1,4]
[4,1,2,3,12,11,6,5,8,9,10,7]=>[7,10,9,8,5,6,11,12,3,2,1,4]
[4,1,2,3,10,5,6,7,8,9,12,11]=>[11,12,9,8,7,6,5,10,3,2,1,4]
[4,1,2,3,12,11,6,7,8,5,10,9]=>[9,10,5,8,7,6,11,12,3,2,1,4]
[4,1,2,3,12,5,10,7,6,9,8,11]=>[11,8,9,6,7,10,5,12,3,2,1,4]
[4,1,2,3,12,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,12,3,2,1,4]
[6,5,2,1,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,1,2,5,6]
[6,5,2,1,4,3,8,7,12,9,10,11]=>[11,10,9,12,7,8,3,4,1,2,5,6]
[6,5,2,1,4,3,10,7,8,9,12,11]=>[11,12,9,8,7,10,3,4,1,2,5,6]
[6,5,2,1,4,3,12,7,8,9,10,11]=>[11,10,9,8,7,12,3,4,1,2,5,6]
[8,5,2,7,4,1,6,3,10,9,12,11]=>[11,12,9,10,3,6,1,4,7,2,5,8]
[8,5,2,7,4,1,6,3,12,9,10,11]=>[11,10,9,12,3,6,1,4,7,2,5,8]
[10,5,2,7,4,9,6,1,8,3,12,11]=>[11,12,3,8,1,6,9,4,7,2,5,10]
[12,5,2,7,4,9,6,11,8,1,10,3]=>[3,10,1,8,11,6,9,4,7,2,5,12]
[12,5,2,7,4,11,6,1,8,9,10,3]=>[3,10,9,8,1,6,11,4,7,2,5,12]
[10,5,2,9,4,1,6,7,8,3,12,11]=>[11,12,3,8,7,6,1,4,9,2,5,10]
[12,5,2,9,4,11,6,7,8,1,10,3]=>[3,10,1,8,7,6,11,4,9,2,5,12]
[12,5,2,11,4,1,10,7,6,9,8,3]=>[3,8,9,6,7,10,1,4,11,2,5,12]
[12,5,2,11,4,1,6,7,8,9,10,3]=>[3,10,9,8,7,6,1,4,11,2,5,12]
[8,7,2,1,4,5,6,3,10,9,12,11]=>[11,12,9,10,3,6,5,4,1,2,7,8]
[8,7,2,1,4,5,6,3,12,9,10,11]=>[11,10,9,12,3,6,5,4,1,2,7,8]
[10,7,2,9,4,5,6,1,8,3,12,11]=>[11,12,3,8,1,6,5,4,9,2,7,10]
[12,7,2,9,4,5,6,11,8,1,10,3]=>[3,10,1,8,11,6,5,4,9,2,7,12]
[12,7,2,11,4,5,6,1,8,9,10,3]=>[3,10,9,8,1,6,5,4,11,2,7,12]
[10,9,2,1,8,5,4,7,6,3,12,11]=>[11,12,3,6,7,4,5,8,1,2,9,10]
[12,9,2,11,8,5,4,7,6,1,10,3]=>[3,10,1,6,7,4,5,8,11,2,9,12]
[12,11,2,1,8,5,10,7,4,9,6,3]=>[3,6,9,4,7,10,5,8,1,2,11,12]
[12,11,2,1,10,5,4,7,8,9,6,3]=>[3,6,9,8,7,4,5,10,1,2,11,12]
[10,9,2,1,4,5,6,7,8,3,12,11]=>[11,12,3,8,7,6,5,4,1,2,9,10]
[12,9,2,11,4,5,6,7,8,1,10,3]=>[3,10,1,8,7,6,5,4,11,2,9,12]
[12,11,2,1,10,5,6,7,4,9,8,3]=>[3,8,9,4,7,6,5,10,1,2,11,12]
[12,11,2,1,4,9,6,5,8,7,10,3]=>[3,10,7,8,5,6,9,4,1,2,11,12]
[12,11,2,1,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,1,2,11,12]
[6,1,2,3,4,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,4,3,2,1,6]
[6,1,2,3,4,5,8,7,12,9,10,11]=>[11,10,9,12,7,8,5,4,3,2,1,6]
[6,1,2,3,4,5,10,7,8,9,12,11]=>[11,12,9,8,7,10,5,4,3,2,1,6]
[6,1,2,3,4,5,12,11,8,7,10,9]=>[9,10,7,8,11,12,5,4,3,2,1,6]
[6,1,2,3,4,5,12,7,8,9,10,11]=>[11,10,9,8,7,12,5,4,3,2,1,6]
[8,7,2,3,4,1,6,5,10,9,12,11]=>[11,12,9,10,5,6,1,4,3,2,7,8]
[8,7,2,3,4,1,6,5,12,9,10,11]=>[11,10,9,12,5,6,1,4,3,2,7,8]
[10,7,2,3,4,9,6,1,8,5,12,11]=>[11,12,5,8,1,6,9,4,3,2,7,10]
[12,7,2,3,4,9,6,11,8,1,10,5]=>[5,10,1,8,11,6,9,4,3,2,7,12]
[12,7,2,3,4,11,6,1,8,9,10,5]=>[5,10,9,8,1,6,11,4,3,2,7,12]
[10,9,2,3,4,1,6,7,8,5,12,11]=>[11,12,5,8,7,6,1,4,3,2,9,10]
[12,9,2,3,4,11,6,7,8,1,10,5]=>[5,10,1,8,7,6,11,4,3,2,9,12]
[12,11,2,3,4,1,10,7,6,9,8,5]=>[5,8,9,6,7,10,1,4,3,2,11,12]
[12,11,2,3,4,1,6,7,8,9,10,5]=>[5,10,9,8,7,6,1,4,3,2,11,12]
[8,1,6,3,2,5,4,7,10,9,12,11]=>[11,12,9,10,7,4,5,2,3,6,1,8]
[8,1,6,3,2,5,4,7,12,9,10,11]=>[11,10,9,12,7,4,5,2,3,6,1,8]
[10,9,6,3,2,5,4,1,8,7,12,11]=>[11,12,7,8,1,4,5,2,3,6,9,10]
[12,9,6,3,2,5,4,11,8,1,10,7]=>[7,10,1,8,11,4,5,2,3,6,9,12]
[12,11,6,3,2,5,4,1,8,9,10,7]=>[7,10,9,8,1,4,5,2,3,6,11,12]
[10,1,6,3,8,5,2,7,4,9,12,11]=>[11,12,9,4,7,2,5,8,3,6,1,10]
[12,11,6,3,8,5,2,7,4,1,10,9]=>[9,10,1,4,7,2,5,8,3,6,11,12]
[12,1,6,3,8,5,10,7,2,9,4,11]=>[11,4,9,2,7,10,5,8,3,6,1,12]
[12,1,6,3,10,5,2,7,8,9,4,11]=>[11,4,9,8,7,2,5,10,3,6,1,12]
[10,1,8,3,2,5,6,7,4,9,12,11]=>[11,12,9,4,7,6,5,2,3,8,1,10]
[12,11,8,3,2,5,6,7,4,1,10,9]=>[9,10,1,4,7,6,5,2,3,8,11,12]
[12,1,8,3,10,5,6,7,2,9,4,11]=>[11,4,9,2,7,6,5,10,3,8,1,12]
[12,1,10,3,2,9,6,5,8,7,4,11]=>[11,4,7,8,5,6,9,2,3,10,1,12]
[12,1,10,3,2,5,6,7,8,9,4,11]=>[11,4,9,8,7,6,5,2,3,10,1,12]
[8,1,2,3,4,5,6,7,10,9,12,11]=>[11,12,9,10,7,6,5,4,3,2,1,8]
[8,1,2,3,4,5,6,7,12,9,10,11]=>[11,10,9,12,7,6,5,4,3,2,1,8]
[10,9,2,3,4,5,6,1,8,7,12,11]=>[11,12,7,8,1,6,5,4,3,2,9,10]
[12,9,2,3,4,5,6,11,8,1,10,7]=>[7,10,1,8,11,6,5,4,3,2,9,12]
[12,11,2,3,4,5,6,1,8,9,10,7]=>[7,10,9,8,1,6,5,4,3,2,11,12]
[10,1,8,3,4,5,2,7,6,9,12,11]=>[11,12,9,6,7,2,5,4,3,8,1,10]
[12,11,8,3,4,5,2,7,6,1,10,9]=>[9,10,1,6,7,2,5,4,3,8,11,12]
[12,1,8,3,4,5,10,7,2,9,6,11]=>[11,6,9,2,7,10,5,4,3,8,1,12]
[12,1,10,3,4,5,2,7,8,9,6,11]=>[11,6,9,8,7,2,5,4,3,10,1,12]
[10,1,2,7,4,3,6,5,8,9,12,11]=>[11,12,9,8,5,6,3,4,7,2,1,10]
[12,11,2,7,4,3,6,5,8,1,10,9]=>[9,10,1,8,5,6,3,4,7,2,11,12]
[12,1,10,7,4,3,6,5,2,9,8,11]=>[11,8,9,2,5,6,3,4,7,10,1,12]
[12,1,2,7,4,9,6,3,8,5,10,11]=>[11,10,5,8,3,6,9,4,7,2,1,12]
[12,1,2,9,4,3,6,7,8,5,10,11]=>[11,10,5,8,7,6,3,4,9,2,1,12]
[10,1,2,3,4,5,6,7,8,9,12,11]=>[11,12,9,8,7,6,5,4,3,2,1,10]
[12,11,2,3,4,5,6,7,8,1,10,9]=>[9,10,1,8,7,6,5,4,3,2,11,12]
[12,1,10,3,4,5,6,7,2,9,8,11]=>[11,8,9,2,7,6,5,4,3,10,1,12]
[12,1,2,9,4,5,6,3,8,7,10,11]=>[11,10,7,8,3,6,5,4,9,2,1,12]
[12,1,2,3,8,5,4,7,6,9,10,11]=>[11,10,9,6,7,4,5,8,3,2,1,12]
[12,1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1,12]
[8,6,7,5,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,5,7,6,8]
[9,7,5,6,8,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,8,6,5,7,9]
[10,8,9,6,4,5,7,3,11,2,12,1]=>[1,12,2,11,3,7,5,4,6,9,8,10]
[10,7,5,6,4,8,9,3,11,2,12,1]=>[1,12,2,11,3,9,8,4,6,5,7,10]
[10,8,6,4,5,7,9,3,11,2,12,1]=>[1,12,2,11,3,9,7,5,4,6,8,10]
[10,8,9,7,11,5,3,4,6,2,12,1]=>[1,12,2,6,4,3,5,11,7,9,8,10]
[11,9,7,8,10,5,3,4,6,2,12,1]=>[1,12,2,6,4,3,5,10,8,7,9,11]
[11,9,10,6,4,5,3,7,8,2,12,1]=>[1,12,2,8,7,3,5,4,6,10,9,11]
[11,9,10,7,5,3,4,6,8,2,12,1]=>[1,12,2,8,6,4,3,5,7,10,9,11]
[11,7,5,6,4,8,3,9,10,2,12,1]=>[1,12,2,10,9,3,8,4,6,5,7,11]
[11,8,6,4,5,7,3,9,10,2,12,1]=>[1,12,2,10,9,3,7,5,4,6,8,11]
[11,9,7,8,5,3,4,6,10,2,12,1]=>[1,12,2,10,6,4,3,5,8,7,9,11]
[11,9,6,4,5,3,7,8,10,2,12,1]=>[1,12,2,10,8,7,3,5,4,6,9,11]
[11,9,7,5,3,4,6,8,10,2,12,1]=>[1,12,2,10,8,6,4,3,5,7,9,11]
[10,8,9,7,11,6,12,4,2,3,5,1]=>[1,5,3,2,4,12,6,11,7,9,8,10]
[11,9,7,8,10,6,12,4,2,3,5,1]=>[1,5,3,2,4,12,6,10,8,7,9,11]
[11,9,10,7,5,6,8,3,2,4,12,1]=>[1,12,4,2,3,8,6,5,7,10,9,11]
[12,9,7,8,6,10,11,4,2,3,5,1]=>[1,5,3,2,4,11,10,6,8,7,9,12]
[12,10,8,6,7,9,11,4,2,3,5,1]=>[1,5,3,2,4,11,9,7,6,8,10,12]
[11,9,10,8,12,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,12,8,10,9,11]
[12,10,8,9,11,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,11,9,8,10,12]
[11,9,10,8,12,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,12,8,10,9,11]
[12,10,8,9,11,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,11,9,8,10,12]
[12,10,11,6,4,5,3,7,2,8,9,1]=>[1,9,8,2,7,3,5,4,6,11,10,12]
[12,10,11,7,5,3,4,6,2,8,9,1]=>[1,9,8,2,6,4,3,5,7,11,10,12]
[12,10,11,8,6,7,4,2,3,5,9,1]=>[1,9,5,3,2,4,7,6,8,11,10,12]
[12,10,11,8,5,3,4,2,6,7,9,1]=>[1,9,7,6,2,4,3,5,8,11,10,12]
[12,10,11,8,6,4,2,3,5,7,9,1]=>[1,9,7,5,3,2,4,6,8,11,10,12]
[12,7,5,6,4,8,3,9,2,10,11,1]=>[1,11,10,2,9,3,8,4,6,5,7,12]
[12,8,6,4,5,7,3,9,2,10,11,1]=>[1,11,10,2,9,3,7,5,4,6,8,12]
[12,9,7,8,5,3,4,6,2,10,11,1]=>[1,11,10,2,6,4,3,5,8,7,9,12]
[12,9,6,4,5,3,7,8,2,10,11,1]=>[1,11,10,2,8,7,3,5,4,6,9,12]
[12,9,7,5,3,4,6,8,2,10,11,1]=>[1,11,10,2,8,6,4,3,5,7,9,12]
[12,9,7,8,6,10,4,2,3,5,11,1]=>[1,11,5,3,2,4,10,6,8,7,9,12]
[12,10,8,6,7,9,4,2,3,5,11,1]=>[1,11,5,3,2,4,9,7,6,8,10,12]
[12,10,8,9,5,3,4,2,6,7,11,1]=>[1,11,7,6,2,4,3,5,9,8,10,12]
[12,10,8,9,6,4,2,3,5,7,11,1]=>[1,11,7,5,3,2,4,6,9,8,10,12]
[12,10,6,4,5,3,7,2,8,9,11,1]=>[1,11,9,8,2,7,3,5,4,6,10,12]
[12,10,7,5,3,4,6,2,8,9,11,1]=>[1,11,9,8,2,6,4,3,5,7,10,12]
[12,10,8,6,7,4,2,3,5,9,11,1]=>[1,11,9,5,3,2,4,7,6,8,10,12]
[12,10,8,5,3,4,2,6,7,9,11,1]=>[1,11,9,7,6,2,4,3,5,8,10,12]
[12,10,8,6,4,2,3,5,7,9,11,1]=>[1,11,9,7,5,3,2,4,6,8,10,12]
[9,7,8,6,10,5,11,4,12,2,1,3]=>[3,1,2,12,4,11,5,10,6,8,7,9]
[10,8,6,7,9,5,11,4,12,2,1,3]=>[3,1,2,12,4,11,5,9,7,6,8,10]
[11,9,10,7,5,6,8,4,12,2,1,3]=>[3,1,2,12,4,8,6,5,7,10,9,11]
[11,8,6,7,5,9,10,4,12,2,1,3]=>[3,1,2,12,4,10,9,5,7,6,8,11]
[11,9,7,5,6,8,10,4,12,2,1,3]=>[3,1,2,12,4,10,8,6,5,7,9,11]
[11,9,10,8,12,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,12,8,10,9,11]
[12,10,8,9,11,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,11,9,8,10,12]
[12,10,11,7,5,6,4,8,9,2,1,3]=>[3,1,2,9,8,4,6,5,7,11,10,12]
[12,10,11,8,6,4,5,7,9,2,1,3]=>[3,1,2,9,7,5,4,6,8,11,10,12]
[12,8,6,7,5,9,4,10,11,2,1,3]=>[3,1,2,11,10,4,9,5,7,6,8,12]
[12,9,7,5,6,8,4,10,11,2,1,3]=>[3,1,2,11,10,4,8,6,5,7,9,12]
[12,10,8,9,6,4,5,7,11,2,1,3]=>[3,1,2,11,7,5,4,6,9,8,10,12]
[12,10,7,5,6,4,8,9,11,2,1,3]=>[3,1,2,11,9,8,4,6,5,7,10,12]
[12,10,8,6,4,5,7,9,11,2,1,3]=>[3,1,2,11,9,7,5,4,6,8,10,12]
[9,7,8,6,10,5,11,3,2,4,1,12]=>[12,1,4,2,3,11,5,10,6,8,7,9]
[10,8,6,7,9,5,11,3,2,4,1,12]=>[12,1,4,2,3,11,5,9,7,6,8,10]
[12,10,11,8,6,7,9,4,2,3,1,5]=>[5,1,3,2,4,9,7,6,8,11,10,12]
[11,8,6,7,5,9,10,3,2,4,1,12]=>[12,1,4,2,3,10,9,5,7,6,8,11]
[11,9,7,5,6,8,10,3,2,4,1,12]=>[12,1,4,2,3,10,8,6,5,7,9,11]
[12,8,6,7,5,9,4,10,2,1,3,11]=>[11,3,1,2,10,4,9,5,7,6,8,12]
[12,9,7,5,6,8,4,10,2,1,3,11]=>[11,3,1,2,10,4,8,6,5,7,9,12]
[12,10,11,8,6,7,9,4,2,1,3,5]=>[5,3,1,2,4,9,7,6,8,11,10,12]
[12,10,7,5,6,4,8,9,2,1,3,11]=>[11,3,1,2,9,8,4,6,5,7,10,12]
[12,10,8,6,4,5,7,9,2,1,3,11]=>[11,3,1,2,9,7,5,4,6,8,10,12]
[9,7,8,6,10,4,3,5,2,11,1,12]=>[12,1,11,2,5,3,4,10,6,8,7,9]
[10,8,6,7,9,4,3,5,2,11,1,12]=>[12,1,11,2,5,3,4,9,7,6,8,10]
[11,8,6,7,5,9,3,2,4,10,1,12]=>[12,1,10,4,2,3,9,5,7,6,8,11]
[11,9,7,5,6,8,3,2,4,10,1,12]=>[12,1,10,4,2,3,8,6,5,7,9,11]
[11,9,10,8,12,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,12,8,10,9,11]
[12,10,8,9,11,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,11,9,8,10,12]
[12,8,6,7,5,9,3,2,4,1,10,11]=>[11,10,1,4,2,3,9,5,7,6,8,12]
[12,9,7,5,6,8,3,2,4,1,10,11]=>[11,10,1,4,2,3,8,6,5,7,9,12]
[12,10,7,5,6,4,8,2,1,3,9,11]=>[11,9,3,1,2,8,4,6,5,7,10,12]
[12,10,8,6,4,5,7,2,1,3,9,11]=>[11,9,3,1,2,7,5,4,6,8,10,12]
[9,7,8,5,4,6,3,10,2,11,1,12]=>[12,1,11,2,10,3,6,4,5,8,7,9]
[10,8,6,7,4,3,5,9,2,11,1,12]=>[12,1,11,2,9,5,3,4,7,6,8,10]
[11,9,10,7,5,6,3,2,4,8,1,12]=>[12,1,8,4,2,3,6,5,7,10,9,11]
[11,8,6,7,4,3,5,2,9,10,1,12]=>[12,1,10,9,2,5,3,4,7,6,8,11]
[11,9,7,5,6,3,2,4,8,10,1,12]=>[12,1,10,8,4,2,3,6,5,7,9,11]
[12,10,11,7,5,6,4,8,2,1,3,9]=>[9,3,1,2,8,4,6,5,7,11,10,12]
[12,10,11,8,6,4,5,7,2,1,3,9]=>[9,3,1,2,7,5,4,6,8,11,10,12]
[12,10,11,7,5,6,3,2,4,1,8,9]=>[9,8,1,4,2,3,6,5,7,11,10,12]
[12,10,11,8,6,4,5,2,1,3,7,9]=>[9,7,3,1,2,5,4,6,8,11,10,12]
[12,8,6,7,4,3,5,2,9,1,10,11]=>[11,10,1,9,2,5,3,4,7,6,8,12]
[12,9,7,5,6,3,2,4,8,1,10,11]=>[11,10,1,8,4,2,3,6,5,7,9,12]
[12,10,8,9,6,4,5,2,1,3,7,11]=>[11,7,3,1,2,5,4,6,9,8,10,12]
[12,10,7,5,6,3,2,4,1,8,9,11]=>[11,9,8,1,4,2,3,6,5,7,10,12]
[12,10,8,6,4,5,2,1,3,7,9,11]=>[11,9,7,3,1,2,5,4,6,8,10,12]
[8,6,5,7,4,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,4,7,5,6,8]
[9,7,5,4,6,8,3,10,2,11,1,12]=>[12,1,11,2,10,3,8,6,4,5,7,9]
[10,8,9,7,5,3,4,6,2,11,1,12]=>[12,1,11,2,6,4,3,5,7,9,8,10]
[10,7,5,4,6,3,8,9,2,11,1,12]=>[12,1,11,2,9,8,3,6,4,5,7,10]
[10,8,6,4,3,5,7,9,2,11,1,12]=>[12,1,11,2,9,7,5,3,4,6,8,10]
[10,8,9,7,11,6,4,2,3,5,1,12]=>[12,1,5,3,2,4,6,11,7,9,8,10]
[11,9,7,8,10,6,4,2,3,5,1,12]=>[12,1,5,3,2,4,6,10,8,7,9,11]
[11,9,10,8,5,3,4,2,6,7,1,12]=>[12,1,7,6,2,4,3,5,8,10,9,11]
[11,9,10,8,6,4,2,3,5,7,1,12]=>[12,1,7,5,3,2,4,6,8,10,9,11]
[11,7,5,4,6,3,8,2,9,10,1,12]=>[12,1,10,9,2,8,3,6,4,5,7,11]
[11,8,6,4,3,5,7,2,9,10,1,12]=>[12,1,10,9,2,7,5,3,4,6,8,11]
[11,9,7,8,6,4,2,3,5,10,1,12]=>[12,1,10,5,3,2,4,6,8,7,9,11]
[11,9,6,4,3,5,2,7,8,10,1,12]=>[12,1,10,8,7,2,5,3,4,6,9,11]
[11,9,7,5,3,2,4,6,8,10,1,12]=>[12,1,10,8,6,4,2,3,5,7,9,11]
[10,8,9,7,11,6,12,5,3,1,2,4]=>[4,2,1,3,5,12,6,11,7,9,8,10]
[11,9,7,8,10,6,12,5,3,1,2,4]=>[4,2,1,3,5,12,6,10,8,7,9,11]
[11,9,10,8,6,4,5,7,2,1,3,12]=>[12,3,1,2,7,5,4,6,8,10,9,11]
[12,9,7,8,6,10,11,5,3,1,2,4]=>[4,2,1,3,5,11,10,6,8,7,9,12]
[12,10,8,6,7,9,11,5,3,1,2,4]=>[4,2,1,3,5,11,9,7,6,8,10,12]
[11,9,10,8,12,7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7,12,8,10,9,11]
[12,10,8,9,11,7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7,11,9,8,10,12]
[11,9,10,8,12,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,12,8,10,9,11]
[12,10,8,9,11,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,11,9,8,10,12]
[12,10,11,9,5,3,4,2,6,1,7,8]=>[8,7,1,6,2,4,3,5,9,11,10,12]
[12,10,11,9,6,4,2,3,5,1,7,8]=>[8,7,1,5,3,2,4,6,9,11,10,12]
[12,10,11,8,6,7,5,3,1,2,4,9]=>[9,4,2,1,3,5,7,6,8,11,10,12]
[12,10,11,9,7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7,9,11,10,12]
[12,10,11,9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9,11,10,12]
[12,7,5,4,6,3,8,2,9,1,10,11]=>[11,10,1,9,2,8,3,6,4,5,7,12]
[12,8,6,4,3,5,7,2,9,1,10,11]=>[11,10,1,9,2,7,5,3,4,6,8,12]
[12,9,7,8,6,4,2,3,5,1,10,11]=>[11,10,1,5,3,2,4,6,8,7,9,12]
[12,9,6,4,3,5,2,7,8,1,10,11]=>[11,10,1,8,7,2,5,3,4,6,9,12]
[12,9,7,5,3,2,4,6,8,1,10,11]=>[11,10,1,8,6,4,2,3,5,7,9,12]
[12,9,7,8,6,10,5,3,1,2,4,11]=>[11,4,2,1,3,5,10,6,8,7,9,12]
[12,10,8,6,7,9,5,3,1,2,4,11]=>[11,4,2,1,3,5,9,7,6,8,10,12]
[12,10,8,9,7,4,2,3,1,5,6,11]=>[11,6,5,1,3,2,4,7,9,8,10,12]
[12,10,8,9,7,5,3,1,2,4,6,11]=>[11,6,4,2,1,3,5,7,9,8,10,12]
[12,10,6,4,3,5,2,7,1,8,9,11]=>[11,9,8,1,7,2,5,3,4,6,10,12]
[12,10,7,5,3,2,4,6,1,8,9,11]=>[11,9,8,1,6,4,2,3,5,7,10,12]
[12,10,8,6,7,5,3,1,2,4,9,11]=>[11,9,4,2,1,3,5,7,6,8,10,12]
[12,10,8,5,3,2,4,1,6,7,9,11]=>[11,9,7,6,1,4,2,3,5,8,10,12]
[2,12,11,10,9,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,9,10,11,12,2]
[3,12,11,10,9,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,9,10,11,12,3]
[4,12,11,10,9,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,9,10,11,12,4]
[5,12,11,10,9,8,1,7,6,4,3,2]=>[2,3,4,6,7,1,8,9,10,11,12,5]
[6,12,11,10,9,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,9,10,11,12,6]
[1,3,5,7,9,11,12,2,4,6,8,10]=>[10,8,6,4,2,12,11,9,7,5,3,1]
[1,3,5,7,10,11,2,12,4,6,8,9]=>[9,8,6,4,12,2,11,10,7,5,3,1]
[1,3,5,8,9,2,11,12,4,6,7,10]=>[10,7,6,4,12,11,2,9,8,5,3,1]
[1,3,5,8,10,11,2,4,12,6,7,9]=>[9,7,6,12,4,2,11,10,8,5,3,1]
[1,3,5,9,10,2,11,4,12,6,7,8]=>[8,7,6,12,4,11,2,10,9,5,3,1]
[1,3,6,7,2,9,11,12,4,5,8,10]=>[10,8,5,4,12,11,9,2,7,6,3,1]
[1,3,6,7,2,10,11,4,12,5,8,9]=>[9,8,5,12,4,11,10,2,7,6,3,1]
[1,3,6,8,9,2,4,11,12,5,7,10]=>[10,7,5,12,11,4,2,9,8,6,3,1]
[1,3,7,8,2,9,4,11,12,5,6,10]=>[10,6,5,12,11,4,9,2,8,7,3,1]
[1,3,6,8,10,11,2,4,5,12,7,9]=>[9,7,12,5,4,2,11,10,8,6,3,1]
[1,3,6,9,10,2,11,4,5,12,7,8]=>[8,7,12,5,4,11,2,10,9,6,3,1]
[1,3,7,8,2,10,11,4,5,12,6,9]=>[9,6,12,5,4,11,10,2,8,7,3,1]
[1,3,7,9,10,2,4,11,5,12,6,8]=>[8,6,12,5,11,4,2,10,9,7,3,1]
[1,3,8,9,2,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,2,9,8,3,1]
[1,4,5,2,7,9,11,12,3,6,8,10]=>[10,8,6,3,12,11,9,7,2,5,4,1]
[1,4,5,2,7,10,11,3,12,6,8,9]=>[9,8,6,12,3,11,10,7,2,5,4,1]
[1,4,5,2,8,9,3,11,12,6,7,10]=>[10,7,6,12,11,3,9,8,2,5,4,1]
[1,4,5,2,8,10,11,3,6,12,7,9]=>[9,7,12,6,3,11,10,8,2,5,4,1]
[1,4,5,2,9,10,3,11,6,12,7,8]=>[8,7,12,6,11,3,10,9,2,5,4,1]
[1,4,6,7,2,3,9,11,12,5,8,10]=>[10,8,5,12,11,9,3,2,7,6,4,1]
[1,4,6,7,2,3,10,11,5,12,8,9]=>[9,8,12,5,11,10,3,2,7,6,4,1]
[1,5,6,2,7,3,9,11,12,4,8,10]=>[10,8,4,12,11,9,3,7,2,6,5,1]
[1,5,6,2,7,3,10,11,4,12,8,9]=>[9,8,12,4,11,10,3,7,2,6,5,1]
[1,4,6,8,9,2,3,5,11,12,7,10]=>[10,7,12,11,5,3,2,9,8,6,4,1]
[1,4,7,8,2,9,3,5,11,12,6,10]=>[10,6,12,11,5,3,9,2,8,7,4,1]
[1,5,6,2,8,9,3,4,11,12,7,10]=>[10,7,12,11,4,3,9,8,2,6,5,1]
[1,5,7,8,2,3,9,4,11,12,6,10]=>[10,6,12,11,4,9,3,2,8,7,5,1]
[1,6,7,2,8,3,9,4,11,12,5,10]=>[10,5,12,11,4,9,3,8,2,7,6,1]
[1,4,6,8,10,11,2,3,5,7,12,9]=>[9,12,7,5,3,2,11,10,8,6,4,1]
[1,4,6,9,10,2,11,3,5,7,12,8]=>[8,12,7,5,3,11,2,10,9,6,4,1]
[1,4,7,8,2,10,11,3,5,6,12,9]=>[9,12,6,5,3,11,10,2,8,7,4,1]
[1,4,7,9,10,2,3,11,5,6,12,8]=>[8,12,6,5,11,3,2,10,9,7,4,1]
[1,4,8,9,2,10,3,11,5,6,12,7]=>[7,12,6,5,11,3,10,2,9,8,4,1]
[1,5,6,2,8,10,11,3,4,7,12,9]=>[9,12,7,4,3,11,10,8,2,6,5,1]
[1,5,6,2,9,10,3,11,4,7,12,8]=>[8,12,7,4,11,3,10,9,2,6,5,1]
[1,5,7,8,2,3,10,11,4,6,12,9]=>[9,12,6,4,11,10,3,2,8,7,5,1]
[1,6,7,2,8,3,10,11,4,5,12,9]=>[9,12,5,4,11,10,3,8,2,7,6,1]
[1,5,7,9,10,2,3,4,11,6,12,8]=>[8,12,6,11,4,3,2,10,9,7,5,1]
[1,5,8,9,2,10,3,4,11,6,12,7]=>[7,12,6,11,4,3,10,2,9,8,5,1]
[1,6,7,2,9,10,3,4,11,5,12,8]=>[8,12,5,11,4,3,10,9,2,7,6,1]
[1,6,8,9,2,3,10,4,11,5,12,7]=>[7,12,5,11,4,10,3,2,9,8,6,1]
[1,7,8,2,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,2,8,7,1]
[2,3,1,5,7,9,11,12,4,6,8,10]=>[10,8,6,4,12,11,9,7,5,1,3,2]
[2,3,1,5,7,10,11,4,12,6,8,9]=>[9,8,6,12,4,11,10,7,5,1,3,2]
[2,3,1,5,8,9,4,11,12,6,7,10]=>[10,7,6,12,11,4,9,8,5,1,3,2]
[2,3,1,5,8,10,11,4,6,12,7,9]=>[9,7,12,6,4,11,10,8,5,1,3,2]
[2,3,1,5,9,10,4,11,6,12,7,8]=>[8,7,12,6,11,4,10,9,5,1,3,2]
[2,3,1,6,7,4,9,11,12,5,8,10]=>[10,8,5,12,11,9,4,7,6,1,3,2]
[2,3,1,6,7,4,10,11,5,12,8,9]=>[9,8,12,5,11,10,4,7,6,1,3,2]
[2,3,1,6,8,9,4,5,11,12,7,10]=>[10,7,12,11,5,4,9,8,6,1,3,2]
[2,3,1,7,8,4,9,5,11,12,6,10]=>[10,6,12,11,5,9,4,8,7,1,3,2]
[2,3,1,6,8,10,11,4,5,7,12,9]=>[9,12,7,5,4,11,10,8,6,1,3,2]
[2,3,1,6,9,10,4,11,5,7,12,8]=>[8,12,7,5,11,4,10,9,6,1,3,2]
[2,3,1,7,8,4,10,11,5,6,12,9]=>[9,12,6,5,11,10,4,8,7,1,3,2]
[2,3,1,7,9,10,4,5,11,6,12,8]=>[8,12,6,11,5,4,10,9,7,1,3,2]
[2,3,1,8,9,4,10,5,11,6,12,7]=>[7,12,6,11,5,10,4,9,8,1,3,2]
[2,4,5,1,3,7,9,11,12,6,8,10]=>[10,8,6,12,11,9,7,3,1,5,4,2]
[2,4,5,1,3,7,10,11,6,12,8,9]=>[9,8,12,6,11,10,7,3,1,5,4,2]
[2,4,5,1,3,8,9,6,11,12,7,10]=>[10,7,12,11,6,9,8,3,1,5,4,2]
[2,4,5,1,3,8,10,11,6,7,12,9]=>[9,12,7,6,11,10,8,3,1,5,4,2]
[2,4,5,1,3,9,10,6,11,7,12,8]=>[8,12,7,11,6,10,9,3,1,5,4,2]
[3,4,1,5,2,7,9,11,12,6,8,10]=>[10,8,6,12,11,9,7,2,5,1,4,3]
[3,4,1,5,2,7,10,11,6,12,8,9]=>[9,8,12,6,11,10,7,2,5,1,4,3]
[3,4,1,5,2,8,9,6,11,12,7,10]=>[10,7,12,11,6,9,8,2,5,1,4,3]
[3,4,1,5,2,8,10,11,6,7,12,9]=>[9,12,7,6,11,10,8,2,5,1,4,3]
[3,4,1,5,2,9,10,6,11,7,12,8]=>[8,12,7,11,6,10,9,2,5,1,4,3]
[2,4,6,7,1,3,5,9,11,12,8,10]=>[10,8,12,11,9,5,3,1,7,6,4,2]
[2,4,6,7,1,3,5,10,11,8,12,9]=>[9,12,8,11,10,5,3,1,7,6,4,2]
[2,5,6,1,7,3,4,9,11,12,8,10]=>[10,8,12,11,9,4,3,7,1,6,5,2]
[2,5,6,1,7,3,4,10,11,8,12,9]=>[9,12,8,11,10,4,3,7,1,6,5,2]
[3,4,1,6,7,2,5,9,11,12,8,10]=>[10,8,12,11,9,5,2,7,6,1,4,3]
[3,4,1,6,7,2,5,10,11,8,12,9]=>[9,12,8,11,10,5,2,7,6,1,4,3]
[3,5,6,1,2,7,4,9,11,12,8,10]=>[10,8,12,11,9,4,7,2,1,6,5,3]
[3,5,6,1,2,7,4,10,11,8,12,9]=>[9,12,8,11,10,4,7,2,1,6,5,3]
[4,5,1,6,2,7,3,9,11,12,8,10]=>[10,8,12,11,9,3,7,2,6,1,5,4]
[4,5,1,6,2,7,3,10,11,8,12,9]=>[9,12,8,11,10,3,7,2,6,1,5,4]
[2,4,6,8,9,1,3,5,7,11,12,10]=>[10,12,11,7,5,3,1,9,8,6,4,2]
[2,4,7,8,1,9,3,5,6,11,12,10]=>[10,12,11,6,5,3,9,1,8,7,4,2]
[2,5,6,1,8,9,3,4,7,11,12,10]=>[10,12,11,7,4,3,9,8,1,6,5,2]
[2,5,7,8,1,3,9,4,6,11,12,10]=>[10,12,11,6,4,9,3,1,8,7,5,2]
[2,6,7,1,8,3,9,4,5,11,12,10]=>[10,12,11,5,4,9,3,8,1,7,6,2]
[3,4,1,6,8,9,2,5,7,11,12,10]=>[10,12,11,7,5,2,9,8,6,1,4,3]
[3,4,1,7,8,2,9,5,6,11,12,10]=>[10,12,11,6,5,9,2,8,7,1,4,3]
[3,5,6,1,2,8,9,4,7,11,12,10]=>[10,12,11,7,4,9,8,2,1,6,5,3]
[4,5,1,6,2,8,9,3,7,11,12,10]=>[10,12,11,7,3,9,8,2,6,1,5,4]
[3,5,7,8,1,2,4,9,6,11,12,10]=>[10,12,11,6,9,4,2,1,8,7,5,3]
[3,6,7,1,8,2,4,9,5,11,12,10]=>[10,12,11,5,9,4,2,8,1,7,6,3]
[4,5,1,7,8,2,3,9,6,11,12,10]=>[10,12,11,6,9,3,2,8,7,1,5,4]
[4,6,7,1,2,8,3,9,5,11,12,10]=>[10,12,11,5,9,3,8,2,1,7,6,4]
[5,6,1,7,2,8,3,9,4,11,12,10]=>[10,12,11,4,9,3,8,2,7,1,6,5]
[2,4,6,8,10,11,1,3,5,7,9,12]=>[12,9,7,5,3,1,11,10,8,6,4,2]
[2,4,6,9,10,1,11,3,5,7,8,12]=>[12,8,7,5,3,11,1,10,9,6,4,2]
[2,4,7,8,1,10,11,3,5,6,9,12]=>[12,9,6,5,3,11,10,1,8,7,4,2]
[2,4,7,9,10,1,3,11,5,6,8,12]=>[12,8,6,5,11,3,1,10,9,7,4,2]
[2,4,8,9,1,10,3,11,5,6,7,12]=>[12,7,6,5,11,3,10,1,9,8,4,2]
[2,5,6,1,8,10,11,3,4,7,9,12]=>[12,9,7,4,3,11,10,8,1,6,5,2]
[2,5,6,1,9,10,3,11,4,7,8,12]=>[12,8,7,4,11,3,10,9,1,6,5,2]
[2,5,7,8,1,3,10,11,4,6,9,12]=>[12,9,6,4,11,10,3,1,8,7,5,2]
[2,6,7,1,8,3,10,11,4,5,9,12]=>[12,9,5,4,11,10,3,8,1,7,6,2]
[2,5,7,9,10,1,3,4,11,6,8,12]=>[12,8,6,11,4,3,1,10,9,7,5,2]
[2,5,8,9,1,10,3,4,11,6,7,12]=>[12,7,6,11,4,3,10,1,9,8,5,2]
[2,6,7,1,9,10,3,4,11,5,8,12]=>[12,8,5,11,4,3,10,9,1,7,6,2]
[2,6,8,9,1,3,10,4,11,5,7,12]=>[12,7,5,11,4,10,3,1,9,8,6,2]
[2,7,8,1,9,3,10,4,11,5,6,12]=>[12,6,5,11,4,10,3,9,1,8,7,2]
[3,4,1,6,8,10,11,2,5,7,9,12]=>[12,9,7,5,2,11,10,8,6,1,4,3]
[3,4,1,6,9,10,2,11,5,7,8,12]=>[12,8,7,5,11,2,10,9,6,1,4,3]
[3,4,1,7,8,2,10,11,5,6,9,12]=>[12,9,6,5,11,10,2,8,7,1,4,3]
[3,4,1,7,9,10,2,5,11,6,8,12]=>[12,8,6,11,5,2,10,9,7,1,4,3]
[3,4,1,8,9,2,10,5,11,6,7,12]=>[12,7,6,11,5,10,2,9,8,1,4,3]
[3,5,6,1,2,8,10,11,4,7,9,12]=>[12,9,7,4,11,10,8,2,1,6,5,3]
[3,5,6,1,2,9,10,4,11,7,8,12]=>[12,8,7,11,4,10,9,2,1,6,5,3]
[4,5,1,6,2,8,10,11,3,7,9,12]=>[12,9,7,3,11,10,8,2,6,1,5,4]
[4,5,1,6,2,9,10,3,11,7,8,12]=>[12,8,7,11,3,10,9,2,6,1,5,4]
[3,5,7,8,1,2,4,10,11,6,9,12]=>[12,9,6,11,10,4,2,1,8,7,5,3]
[3,6,7,1,8,2,4,10,11,5,9,12]=>[12,9,5,11,10,4,2,8,1,7,6,3]
[4,5,1,7,8,2,3,10,11,6,9,12]=>[12,9,6,11,10,3,2,8,7,1,5,4]
[4,6,7,1,2,8,3,10,11,5,9,12]=>[12,9,5,11,10,3,8,2,1,7,6,4]
[5,6,1,7,2,8,3,10,11,4,9,12]=>[12,9,4,11,10,3,8,2,7,1,6,5]
[3,5,7,9,10,1,2,4,6,11,8,12]=>[12,8,11,6,4,2,1,10,9,7,5,3]
[3,5,8,9,1,10,2,4,6,11,7,12]=>[12,7,11,6,4,2,10,1,9,8,5,3]
[3,6,7,1,9,10,2,4,5,11,8,12]=>[12,8,11,5,4,2,10,9,1,7,6,3]
[3,6,8,9,1,2,10,4,5,11,7,12]=>[12,7,11,5,4,10,2,1,9,8,6,3]
[3,7,8,1,9,2,10,4,5,11,6,12]=>[12,6,11,5,4,10,2,9,1,8,7,3]
[4,5,1,7,9,10,2,3,6,11,8,12]=>[12,8,11,6,3,2,10,9,7,1,5,4]
[4,5,1,8,9,2,10,3,6,11,7,12]=>[12,7,11,6,3,10,2,9,8,1,5,4]
[4,6,7,1,2,9,10,3,5,11,8,12]=>[12,8,11,5,3,10,9,2,1,7,6,4]
[5,6,1,7,2,9,10,3,4,11,8,12]=>[12,8,11,4,3,10,9,2,7,1,6,5]
[4,6,8,9,1,2,3,10,5,11,7,12]=>[12,7,11,5,10,3,2,1,9,8,6,4]
[4,7,8,1,9,2,3,10,5,11,6,12]=>[12,6,11,5,10,3,2,9,1,8,7,4]
[5,6,1,8,9,2,3,10,4,11,7,12]=>[12,7,11,4,10,3,2,9,8,1,6,5]
[5,7,8,1,2,9,3,10,4,11,6,12]=>[12,6,11,4,10,3,9,2,1,8,7,5]
[6,7,1,8,2,9,3,10,4,11,5,12]=>[12,5,11,4,10,3,9,2,8,1,7,6]
[2,1,4,3,6,5,12,7,9,8,11,10]=>[10,11,8,9,7,12,5,6,3,4,1,2]
[2,1,4,3,6,5,11,8,12,7,10,9]=>[9,10,7,12,8,11,5,6,3,4,1,2]
[2,1,4,3,10,5,7,6,9,8,12,11]=>[11,12,8,9,6,7,5,10,3,4,1,2]
[2,1,4,3,12,5,7,6,9,8,11,10]=>[10,11,8,9,6,7,5,12,3,4,1,2]
[2,1,4,3,11,8,12,5,7,6,10,9]=>[9,10,6,7,5,12,8,11,3,4,1,2]
[2,1,4,3,9,6,10,5,8,7,12,11]=>[11,12,7,8,5,10,6,9,3,4,1,2]
[2,1,4,3,9,6,12,5,8,7,11,10]=>[10,11,7,8,5,12,6,9,3,4,1,2]
[2,1,4,3,12,5,8,7,11,6,10,9]=>[9,10,6,11,7,8,5,12,3,4,1,2]
[2,1,4,3,11,6,10,7,12,5,9,8]=>[8,9,5,12,7,10,6,11,3,4,1,2]
[2,1,6,3,5,4,12,7,9,8,11,10]=>[10,11,8,9,7,12,4,5,3,6,1,2]
[2,1,6,3,5,4,11,8,12,7,10,9]=>[9,10,7,12,8,11,4,5,3,6,1,2]
[2,1,8,3,5,4,7,6,10,9,12,11]=>[11,12,9,10,6,7,4,5,3,8,1,2]
[2,1,8,3,5,4,7,6,12,9,11,10]=>[10,11,9,12,6,7,4,5,3,8,1,2]
[2,1,10,3,5,4,7,6,9,8,12,11]=>[11,12,8,9,6,7,4,5,3,10,1,2]
[2,1,12,3,5,4,7,6,9,8,11,10]=>[10,11,8,9,6,7,4,5,3,12,1,2]
[2,1,11,8,12,3,5,4,7,6,10,9]=>[9,10,6,7,4,5,3,12,8,11,1,2]
[2,1,9,6,10,3,5,4,8,7,12,11]=>[11,12,7,8,4,5,3,10,6,9,1,2]
[2,1,9,6,12,3,5,4,8,7,11,10]=>[10,11,7,8,4,5,3,12,6,9,1,2]
[2,1,12,3,5,4,8,7,11,6,10,9]=>[9,10,6,11,7,8,4,5,3,12,1,2]
[2,1,11,6,10,7,12,3,5,4,9,8]=>[8,9,4,5,3,12,7,10,6,11,1,2]
[2,1,7,4,8,3,6,5,10,9,12,11]=>[11,12,9,10,5,6,3,8,4,7,1,2]
[2,1,7,4,8,3,6,5,12,9,11,10]=>[10,11,9,12,5,6,3,8,4,7,1,2]
[2,1,7,4,10,3,6,5,9,8,12,11]=>[11,12,8,9,5,6,3,10,4,7,1,2]
[2,1,7,4,12,3,6,5,9,8,11,10]=>[10,11,8,9,5,6,3,12,4,7,1,2]
[2,1,7,4,11,8,12,3,6,5,10,9]=>[9,10,5,6,3,12,8,11,4,7,1,2]
[2,1,10,3,6,5,9,4,8,7,12,11]=>[11,12,7,8,4,9,5,6,3,10,1,2]
[2,1,12,3,6,5,9,4,8,7,11,10]=>[10,11,7,8,4,9,5,6,3,12,1,2]
[2,1,11,4,8,7,12,3,6,5,10,9]=>[9,10,5,6,3,12,7,8,4,11,1,2]
[2,1,12,3,6,5,10,7,11,4,9,8]=>[8,9,4,11,7,10,5,6,3,12,1,2]
[2,1,9,4,8,5,10,3,7,6,12,11]=>[11,12,6,7,3,10,5,8,4,9,1,2]
[2,1,9,4,8,5,12,3,7,6,11,10]=>[10,11,6,7,3,12,5,8,4,9,1,2]
[2,1,12,3,7,6,11,4,8,5,10,9]=>[9,10,5,8,4,11,6,7,3,12,1,2]
[2,1,10,5,12,3,7,6,11,4,9,8]=>[8,9,4,11,6,7,3,12,5,10,1,2]
[2,1,10,5,11,4,9,6,12,3,8,7]=>[7,8,3,12,6,9,4,11,5,10,1,2]
[4,1,3,2,6,5,12,7,9,8,11,10]=>[10,11,8,9,7,12,5,6,2,3,1,4]
[4,1,3,2,6,5,11,8,12,7,10,9]=>[9,10,7,12,8,11,5,6,2,3,1,4]
[4,1,3,2,10,5,7,6,9,8,12,11]=>[11,12,8,9,6,7,5,10,2,3,1,4]
[4,1,3,2,12,5,7,6,9,8,11,10]=>[10,11,8,9,6,7,5,12,2,3,1,4]
[4,1,3,2,11,8,12,5,7,6,10,9]=>[9,10,6,7,5,12,8,11,2,3,1,4]
[4,1,3,2,9,6,10,5,8,7,12,11]=>[11,12,7,8,5,10,6,9,2,3,1,4]
[4,1,3,2,9,6,12,5,8,7,11,10]=>[10,11,7,8,5,12,6,9,2,3,1,4]
[4,1,3,2,12,5,8,7,11,6,10,9]=>[9,10,6,11,7,8,5,12,2,3,1,4]
[4,1,3,2,11,6,10,7,12,5,9,8]=>[8,9,5,12,7,10,6,11,2,3,1,4]
[6,1,3,2,5,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,5,2,3,1,6]
[6,1,3,2,5,4,8,7,12,9,11,10]=>[10,11,9,12,7,8,4,5,2,3,1,6]
[6,1,3,2,5,4,10,7,9,8,12,11]=>[11,12,8,9,7,10,4,5,2,3,1,6]
[6,1,3,2,5,4,12,7,9,8,11,10]=>[10,11,8,9,7,12,4,5,2,3,1,6]
[6,1,3,2,5,4,11,8,12,7,10,9]=>[9,10,7,12,8,11,4,5,2,3,1,6]
[8,1,3,2,5,4,7,6,10,9,12,11]=>[11,12,9,10,6,7,4,5,2,3,1,8]
[8,1,3,2,5,4,7,6,12,9,11,10]=>[10,11,9,12,6,7,4,5,2,3,1,8]
[10,1,3,2,5,4,7,6,9,8,12,11]=>[11,12,8,9,6,7,4,5,2,3,1,10]
[11,8,12,1,3,2,5,4,7,6,10,9]=>[9,10,6,7,4,5,2,3,1,12,8,11]
[9,6,10,1,3,2,5,4,8,7,12,11]=>[11,12,7,8,4,5,2,3,1,10,6,9]
[9,6,12,1,3,2,5,4,8,7,11,10]=>[10,11,7,8,4,5,2,3,1,12,6,9]
[12,1,3,2,5,4,8,7,11,6,10,9]=>[9,10,6,11,7,8,4,5,2,3,1,12]
[11,6,10,7,12,1,3,2,5,4,9,8]=>[8,9,4,5,2,3,1,12,7,10,6,11]
[7,4,8,1,3,2,6,5,10,9,12,11]=>[11,12,9,10,5,6,2,3,1,8,4,7]
[7,4,8,1,3,2,6,5,12,9,11,10]=>[10,11,9,12,5,6,2,3,1,8,4,7]
[7,4,10,1,3,2,6,5,9,8,12,11]=>[11,12,8,9,5,6,2,3,1,10,4,7]
[7,4,12,1,3,2,6,5,9,8,11,10]=>[10,11,8,9,5,6,2,3,1,12,4,7]
[7,4,11,8,12,1,3,2,6,5,10,9]=>[9,10,5,6,2,3,1,12,8,11,4,7]
[10,1,3,2,6,5,9,4,8,7,12,11]=>[11,12,7,8,4,9,5,6,2,3,1,10]
[12,1,3,2,6,5,9,4,8,7,11,10]=>[10,11,7,8,4,9,5,6,2,3,1,12]
[11,4,8,7,12,1,3,2,6,5,10,9]=>[9,10,5,6,2,3,1,12,7,8,4,11]
[12,1,3,2,6,5,10,7,11,4,9,8]=>[8,9,4,11,7,10,5,6,2,3,1,12]
[9,4,8,5,10,1,3,2,7,6,12,11]=>[11,12,6,7,2,3,1,10,5,8,4,9]
[9,4,8,5,12,1,3,2,7,6,11,10]=>[10,11,6,7,2,3,1,12,5,8,4,9]
[12,1,3,2,7,6,11,4,8,5,10,9]=>[9,10,5,8,4,11,6,7,2,3,1,12]
[10,5,12,1,3,2,7,6,11,4,9,8]=>[8,9,4,11,6,7,2,3,1,12,5,10]
[10,5,11,4,9,6,12,1,3,2,8,7]=>[7,8,2,3,1,12,6,9,4,11,5,10]
[5,2,6,1,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,1,6,2,5]
[5,2,6,1,4,3,8,7,12,9,11,10]=>[10,11,9,12,7,8,3,4,1,6,2,5]
[5,2,6,1,4,3,10,7,9,8,12,11]=>[11,12,8,9,7,10,3,4,1,6,2,5]
[5,2,6,1,4,3,12,7,9,8,11,10]=>[10,11,8,9,7,12,3,4,1,6,2,5]
[5,2,6,1,4,3,11,8,12,7,10,9]=>[9,10,7,12,8,11,3,4,1,6,2,5]
[5,2,8,1,4,3,7,6,10,9,12,11]=>[11,12,9,10,6,7,3,4,1,8,2,5]
[5,2,8,1,4,3,7,6,12,9,11,10]=>[10,11,9,12,6,7,3,4,1,8,2,5]
[5,2,10,1,4,3,7,6,9,8,12,11]=>[11,12,8,9,6,7,3,4,1,10,2,5]
[5,2,12,1,4,3,7,6,9,8,11,10]=>[10,11,8,9,6,7,3,4,1,12,2,5]
[5,2,11,8,12,1,4,3,7,6,10,9]=>[9,10,6,7,3,4,1,12,8,11,2,5]
[5,2,9,6,10,1,4,3,8,7,12,11]=>[11,12,7,8,3,4,1,10,6,9,2,5]
[5,2,9,6,12,1,4,3,8,7,11,10]=>[10,11,7,8,3,4,1,12,6,9,2,5]
[5,2,12,1,4,3,8,7,11,6,10,9]=>[9,10,6,11,7,8,3,4,1,12,2,5]
[5,2,11,6,10,7,12,1,4,3,9,8]=>[8,9,3,4,1,12,7,10,6,11,2,5]
[8,1,4,3,7,2,6,5,10,9,12,11]=>[11,12,9,10,5,6,2,7,3,4,1,8]
[8,1,4,3,7,2,6,5,12,9,11,10]=>[10,11,9,12,5,6,2,7,3,4,1,8]
[10,1,4,3,7,2,6,5,9,8,12,11]=>[11,12,8,9,5,6,2,7,3,4,1,10]
[12,1,4,3,7,2,6,5,9,8,11,10]=>[10,11,8,9,5,6,2,7,3,4,1,12]
[11,8,12,1,4,3,7,2,6,5,10,9]=>[9,10,5,6,2,7,3,4,1,12,8,11]
[9,2,6,5,10,1,4,3,8,7,12,11]=>[11,12,7,8,3,4,1,10,5,6,2,9]
[9,2,6,5,12,1,4,3,8,7,11,10]=>[10,11,7,8,3,4,1,12,5,6,2,9]
[12,1,4,3,8,7,11,2,6,5,10,9]=>[9,10,5,6,2,11,7,8,3,4,1,12]
[11,2,6,5,10,7,12,1,4,3,9,8]=>[8,9,3,4,1,12,7,10,5,6,2,11]
[10,1,4,3,8,5,9,2,7,6,12,11]=>[11,12,6,7,2,9,5,8,3,4,1,10]
[12,1,4,3,8,5,9,2,7,6,11,10]=>[10,11,6,7,2,9,5,8,3,4,1,12]
[11,2,7,6,12,1,4,3,8,5,10,9]=>[9,10,5,8,3,4,1,12,6,7,2,11]
[10,5,11,2,7,6,12,1,4,3,9,8]=>[8,9,3,4,1,12,6,7,2,11,5,10]
[10,5,12,1,4,3,9,6,11,2,8,7]=>[7,8,2,11,6,9,3,4,1,12,5,10]
[7,2,6,3,8,1,5,4,10,9,12,11]=>[11,12,9,10,4,5,1,8,3,6,2,7]
[7,2,6,3,8,1,5,4,12,9,11,10]=>[10,11,9,12,4,5,1,8,3,6,2,7]
[7,2,6,3,10,1,5,4,9,8,12,11]=>[11,12,8,9,4,5,1,10,3,6,2,7]
[7,2,6,3,12,1,5,4,9,8,11,10]=>[10,11,8,9,4,5,1,12,3,6,2,7]
[7,2,6,3,11,8,12,1,5,4,10,9]=>[9,10,4,5,1,12,8,11,3,6,2,7]
[10,1,5,4,9,2,6,3,8,7,12,11]=>[11,12,7,8,3,6,2,9,4,5,1,10]
[12,1,5,4,9,2,6,3,8,7,11,10]=>[10,11,7,8,3,6,2,9,4,5,1,12]
[11,2,6,3,8,7,12,1,5,4,10,9]=>[9,10,4,5,1,12,7,8,3,6,2,11]
[12,1,5,4,10,7,11,2,6,3,9,8]=>[8,9,3,6,2,11,7,10,4,5,1,12]
[8,3,10,1,5,4,9,2,7,6,12,11]=>[11,12,6,7,2,9,4,5,1,10,3,8]
[8,3,12,1,5,4,9,2,7,6,11,10]=>[10,11,6,7,2,9,4,5,1,12,3,8]
[8,3,11,2,7,6,12,1,5,4,10,9]=>[9,10,4,5,1,12,6,7,2,11,3,8]
[11,2,7,6,12,1,5,4,10,3,9,8]=>[8,9,3,10,4,5,1,12,6,7,2,11]
[12,1,5,4,10,3,9,6,11,2,8,7]=>[7,8,2,11,6,9,3,10,4,5,1,12]
[8,3,9,2,7,4,10,1,6,5,12,11]=>[11,12,5,6,1,10,4,7,2,9,3,8]
[8,3,9,2,7,4,12,1,6,5,11,10]=>[10,11,5,6,1,12,4,7,2,9,3,8]
[8,3,12,1,6,5,11,2,7,4,10,9]=>[9,10,4,7,2,11,5,6,1,12,3,8]
[12,1,6,5,11,2,7,4,10,3,9,8]=>[8,9,3,10,4,7,2,11,5,6,1,12]
[10,3,9,4,12,1,6,5,11,2,8,7]=>[7,8,2,11,5,6,1,12,4,9,3,10]
[10,3,9,4,11,2,8,5,12,1,7,6]=>[6,7,1,12,5,8,2,11,4,9,3,10]
[11,8,6,4,3,5,7,9,2,10,12,1]=>[1,12,10,2,9,7,5,3,4,6,8,11]
[11,8,6,5,7,9,3,2,4,10,12,1]=>[1,12,10,4,2,3,9,7,5,6,8,11]
[11,8,7,9,4,3,5,2,6,10,12,1]=>[1,12,10,6,2,5,3,4,9,7,8,11]
[11,8,7,9,5,3,2,4,6,10,12,1]=>[1,12,10,6,4,2,3,5,9,7,8,11]
[11,9,6,4,3,5,7,2,8,10,12,1]=>[1,12,10,8,2,7,5,3,4,6,9,11]
[11,9,6,5,7,3,2,4,8,10,12,1]=>[1,12,10,8,4,2,3,7,5,6,9,11]
[11,9,7,4,3,5,2,6,8,10,12,1]=>[1,12,10,8,6,2,5,3,4,7,9,11]
[11,9,7,5,3,2,4,6,8,10,12,1]=>[1,12,10,8,6,4,2,3,5,7,9,11]
[10,9,11,8,12,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,12,8,11,9,10]
[11,10,12,7,4,3,5,2,6,8,1,9]=>[9,1,8,6,2,5,3,4,7,12,10,11]
[12,9,6,4,3,5,7,2,8,10,1,11]=>[11,1,10,8,2,7,5,3,4,6,9,12]
[12,9,6,5,7,3,2,4,8,10,1,11]=>[11,1,10,8,4,2,3,7,5,6,9,12]
[12,9,7,4,3,5,2,6,8,10,1,11]=>[11,1,10,8,6,2,5,3,4,7,9,12]
[12,9,7,5,3,2,4,6,8,10,1,11]=>[11,1,10,8,6,4,2,3,5,7,9,12]
[12,9,7,5,4,6,8,10,2,1,3,11]=>[11,3,1,2,10,8,6,4,5,7,9,12]
[12,9,7,6,8,10,3,2,4,1,5,11]=>[11,5,1,4,2,3,10,8,6,7,9,12]
[12,9,7,6,8,10,4,2,1,3,5,11]=>[11,5,3,1,2,4,10,8,6,7,9,12]
[12,9,8,10,5,3,2,4,6,1,7,11]=>[11,7,1,6,4,2,3,5,10,8,9,12]
[12,9,8,10,5,4,6,2,1,3,7,11]=>[11,7,3,1,2,6,4,5,10,8,9,12]
[12,9,8,10,6,3,2,4,1,5,7,11]=>[11,7,5,1,4,2,3,6,10,8,9,12]
[12,9,8,10,6,4,2,1,3,5,7,11]=>[11,7,5,3,1,2,4,6,10,8,9,12]
[12,10,7,4,3,5,2,6,8,1,9,11]=>[11,9,1,8,6,2,5,3,4,7,10,12]
[11,12,8,2,1,6,4,3,5,7,9,10]=>[10,9,7,5,3,4,6,1,2,8,12,11]
[12,2,9,1,10,6,4,3,5,7,8,11]=>[11,8,7,5,3,4,6,10,1,9,2,12]
[11,12,2,1,9,6,4,3,5,7,8,10]=>[10,8,7,5,3,4,6,9,1,2,12,11]
[10,2,4,1,11,3,12,6,5,7,8,9]=>[9,8,7,5,6,12,3,11,1,4,2,10]
[7,12,10,2,1,8,4,3,5,6,9,11]=>[11,9,6,5,3,4,8,1,2,10,12,7]
[2,11,7,1,12,8,4,3,5,6,9,10]=>[10,9,6,5,3,4,8,12,1,7,11,2]
[9,12,2,1,10,7,4,3,5,6,8,11]=>[11,8,6,5,3,4,7,10,1,2,12,9]
[2,11,1,12,9,7,4,3,5,6,8,10]=>[10,8,6,5,3,4,7,9,12,1,11,2]
[10,11,2,1,4,3,12,7,5,6,8,9]=>[9,8,6,5,7,12,3,4,1,2,11,10]
[8,12,2,1,9,4,3,10,5,6,7,11]=>[11,7,6,5,10,3,4,9,1,2,12,8]
[2,11,1,12,8,4,3,9,5,6,7,10]=>[10,7,6,5,9,3,4,8,12,1,11,2]
[2,10,1,11,4,3,12,8,5,6,7,9]=>[9,7,6,5,8,12,3,4,11,1,10,2]
[2,9,1,10,4,3,11,5,12,6,7,8]=>[8,7,6,12,5,11,3,4,10,1,9,2]
[12,10,8,5,2,1,6,3,4,7,9,11]=>[11,9,7,4,3,6,1,2,5,8,10,12]
[5,11,2,1,12,8,6,3,4,7,9,10]=>[10,9,7,4,3,6,8,12,1,2,11,5]
[12,9,5,2,1,10,6,3,4,7,8,11]=>[11,8,7,4,3,6,10,1,2,5,9,12]
[11,5,2,1,12,9,6,3,4,7,8,10]=>[10,8,7,4,3,6,9,12,1,2,5,11]
[10,11,2,1,5,3,12,6,4,7,8,9]=>[9,8,7,4,6,12,3,5,1,2,11,10]
[12,10,7,2,1,8,5,3,4,6,9,11]=>[11,9,6,4,3,5,8,1,2,7,10,12]
[11,7,2,1,12,8,5,3,4,6,9,10]=>[10,9,6,4,3,5,8,12,1,2,7,11]
[12,9,2,1,10,7,5,3,4,6,8,11]=>[11,8,6,4,3,5,7,10,1,2,9,12]
[11,2,1,12,9,7,5,3,4,6,8,10]=>[10,8,6,4,3,5,7,9,12,1,2,11]
[10,11,2,1,3,12,7,5,4,6,8,9]=>[9,8,6,4,5,7,12,3,1,2,11,10]
[8,9,2,1,12,3,10,5,4,6,7,11]=>[11,7,6,4,5,10,3,12,1,2,9,8]
[11,8,2,1,12,3,9,5,4,6,7,10]=>[10,7,6,4,5,9,3,12,1,2,8,11]
[2,10,1,11,3,12,8,5,4,6,7,9]=>[9,7,6,4,5,8,12,3,11,1,10,2]
[2,9,1,10,3,11,5,4,12,6,7,8]=>[8,7,6,12,4,5,11,3,10,1,9,2]
[12,10,6,2,1,7,3,8,4,5,9,11]=>[11,9,5,4,8,3,7,1,2,6,10,12]
[11,6,2,1,12,7,3,8,4,5,9,10]=>[10,9,5,4,8,3,7,12,1,2,6,11]
[12,9,2,1,10,6,3,7,4,5,8,11]=>[11,8,5,4,7,3,6,10,1,2,9,12]
[11,2,1,12,9,6,3,7,4,5,8,10]=>[10,8,5,4,7,3,6,9,12,1,2,11]
[10,2,1,11,6,3,12,7,4,5,8,9]=>[9,8,5,4,7,12,3,6,11,1,2,10]
[12,8,2,1,9,3,10,6,4,5,7,11]=>[11,7,5,4,6,10,3,9,1,2,8,12]
[11,2,1,12,8,3,9,6,4,5,7,10]=>[10,7,5,4,6,9,3,8,12,1,2,11]
[10,2,1,11,3,12,8,6,4,5,7,9]=>[9,7,5,4,6,8,12,3,11,1,2,10]
[2,9,1,10,3,11,4,12,6,5,7,8]=>[8,7,5,6,12,4,11,3,10,1,9,2]
[12,7,2,1,8,3,9,4,10,5,6,11]=>[11,6,5,10,4,9,3,8,1,2,7,12]
[11,2,1,12,7,3,8,4,9,5,6,10]=>[10,6,5,9,4,8,3,7,12,1,2,11]
[10,2,1,11,3,12,7,4,8,5,6,9]=>[9,6,5,8,4,7,12,3,11,1,2,10]
[9,2,1,10,3,11,4,12,7,5,6,8]=>[8,6,5,7,12,4,11,3,10,1,2,9]
[8,2,1,9,3,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,3,9,1,2,8]
[12,10,8,6,3,1,4,2,5,7,9,11]=>[11,9,7,5,2,4,1,3,6,8,10,12]
[11,12,3,1,8,6,4,2,5,7,9,10]=>[10,9,7,5,2,4,6,8,1,3,12,11]
[9,12,3,1,10,6,4,2,5,7,8,11]=>[11,8,7,5,2,4,6,10,1,3,12,9]
[3,11,1,12,9,6,4,2,5,7,8,10]=>[10,8,7,5,2,4,6,9,12,1,11,3]
[3,10,4,1,11,2,12,6,5,7,8,9]=>[9,8,7,5,6,12,2,11,1,4,10,3]
[12,10,7,3,1,8,4,2,5,6,9,11]=>[11,9,6,5,2,4,8,1,3,7,10,12]
[11,7,3,1,12,8,4,2,5,6,9,10]=>[10,9,6,5,2,4,8,12,1,3,7,11]
[12,9,3,1,10,7,4,2,5,6,8,11]=>[11,8,6,5,2,4,7,10,1,3,9,12]
[11,3,1,12,9,7,4,2,5,6,8,10]=>[10,8,6,5,2,4,7,9,12,1,3,11]
[3,10,1,11,4,2,12,7,5,6,8,9]=>[9,8,6,5,7,12,2,4,11,1,10,3]
[12,8,3,1,9,4,2,10,5,6,7,11]=>[11,7,6,5,10,2,4,9,1,3,8,12]
[11,3,1,12,8,4,2,9,5,6,7,10]=>[10,7,6,5,9,2,4,8,12,1,3,11]
[10,3,1,11,4,2,12,8,5,6,7,9]=>[9,7,6,5,8,12,2,4,11,1,3,10]
[9,3,1,10,4,2,11,5,12,6,7,8]=>[8,7,6,12,5,11,2,4,10,1,3,9]
[12,10,8,5,1,6,3,2,4,7,9,11]=>[11,9,7,4,2,3,6,1,5,8,10,12]
[5,11,1,12,8,6,3,2,4,7,9,10]=>[10,9,7,4,2,3,6,8,12,1,11,5]
[12,9,5,1,10,6,3,2,4,7,8,11]=>[11,8,7,4,2,3,6,10,1,5,9,12]
[11,5,1,12,9,6,3,2,4,7,8,10]=>[10,8,7,4,2,3,6,9,12,1,5,11]
[3,10,1,11,5,2,12,6,4,7,8,9]=>[9,8,7,4,6,12,2,5,11,1,10,3]
[12,10,7,1,8,5,3,2,4,6,9,11]=>[11,9,6,4,2,3,5,8,1,7,10,12]
[11,7,1,12,8,5,3,2,4,6,9,10]=>[10,9,6,4,2,3,5,8,12,1,7,11]
[12,9,1,10,7,5,3,2,4,6,8,11]=>[11,8,6,4,2,3,5,7,10,1,9,12]
[11,1,12,9,7,5,3,2,4,6,8,10]=>[10,8,6,4,2,3,5,7,9,12,1,11]
[3,10,1,11,2,12,7,5,4,6,8,9]=>[9,8,6,4,5,7,12,2,11,1,10,3]
[8,9,1,12,3,2,10,5,4,6,7,11]=>[11,7,6,4,5,10,2,3,12,1,9,8]
[11,8,1,12,3,2,9,5,4,6,7,10]=>[10,7,6,4,5,9,2,3,12,1,8,11]
[10,3,1,11,2,12,8,5,4,6,7,9]=>[9,7,6,4,5,8,12,2,11,1,3,10]
[9,3,1,10,2,11,5,4,12,6,7,8]=>[8,7,6,12,4,5,11,2,10,1,3,9]
[12,10,6,1,7,3,2,8,4,5,9,11]=>[11,9,5,4,8,2,3,7,1,6,10,12]
[11,6,1,12,7,3,2,8,4,5,9,10]=>[10,9,5,4,8,2,3,7,12,1,6,11]
[12,9,1,10,6,3,2,7,4,5,8,11]=>[11,8,5,4,7,2,3,6,10,1,9,12]
[11,1,12,9,6,3,2,7,4,5,8,10]=>[10,8,5,4,7,2,3,6,9,12,1,11]
[10,1,11,6,3,2,12,7,4,5,8,9]=>[9,8,5,4,7,12,2,3,6,11,1,10]
[12,8,1,9,3,2,10,6,4,5,7,11]=>[11,7,5,4,6,10,2,3,9,1,8,12]
[11,1,12,8,3,2,9,6,4,5,7,10]=>[10,7,5,4,6,9,2,3,8,12,1,11]
[10,1,11,3,2,12,8,6,4,5,7,9]=>[9,7,5,4,6,8,12,2,3,11,1,10]
[9,3,1,10,2,11,4,12,6,5,7,8]=>[8,7,5,6,12,4,11,2,10,1,3,9]
[12,7,1,8,3,2,9,4,10,5,6,11]=>[11,6,5,10,4,9,2,3,8,1,7,12]
[11,1,12,7,3,2,8,4,9,5,6,10]=>[10,6,5,9,4,8,2,3,7,12,1,11]
[10,1,11,3,2,12,7,4,8,5,6,9]=>[9,6,5,8,4,7,12,2,3,11,1,10]
[9,1,10,3,2,11,4,12,7,5,6,8]=>[8,6,5,7,12,4,11,2,3,10,1,9]
[8,1,9,3,2,10,4,11,5,12,6,7]=>[7,6,12,5,11,4,10,2,3,9,1,8]
[12,10,8,4,1,5,2,6,3,7,9,11]=>[11,9,7,3,6,2,5,1,4,8,10,12]
[4,11,1,12,8,5,2,6,3,7,9,10]=>[10,9,7,3,6,2,5,8,12,1,11,4]
[12,9,4,1,10,5,2,6,3,7,8,11]=>[11,8,7,3,6,2,5,10,1,4,9,12]
[11,4,1,12,9,5,2,6,3,7,8,10]=>[10,8,7,3,6,2,5,9,12,1,4,11]
[10,4,1,11,5,2,12,6,3,7,8,9]=>[9,8,7,3,6,12,2,5,11,1,4,10]
[12,10,7,1,8,4,2,5,3,6,9,11]=>[11,9,6,3,5,2,4,8,1,7,10,12]
[11,7,1,12,8,4,2,5,3,6,9,10]=>[10,9,6,3,5,2,4,8,12,1,7,11]
[12,9,1,10,7,4,2,5,3,6,8,11]=>[11,8,6,3,5,2,4,7,10,1,9,12]
[11,1,12,9,7,4,2,5,3,6,8,10]=>[10,8,6,3,5,2,4,7,9,12,1,11]
[10,4,1,11,2,12,7,5,3,6,8,9]=>[9,8,6,3,5,7,12,2,11,1,4,10]
[12,8,1,9,4,2,10,5,3,6,7,11]=>[11,7,6,3,5,10,2,4,9,1,8,12]
[11,1,12,8,4,2,9,5,3,6,7,10]=>[10,7,6,3,5,9,2,4,8,12,1,11]
[10,1,11,4,2,12,8,5,3,6,7,9]=>[9,7,6,3,5,8,12,2,4,11,1,10]
[9,1,10,4,2,11,5,3,12,6,7,8]=>[8,7,6,12,3,5,11,2,4,10,1,9]
[12,10,6,1,7,2,8,4,3,5,9,11]=>[11,9,5,3,4,8,2,7,1,6,10,12]
[11,6,1,12,7,2,8,4,3,5,9,10]=>[10,9,5,3,4,8,2,7,12,1,6,11]
[12,9,1,10,6,2,7,4,3,5,8,11]=>[11,8,5,3,4,7,2,6,10,1,9,12]
[11,1,12,9,6,2,7,4,3,5,8,10]=>[10,8,5,3,4,7,2,6,9,12,1,11]
[10,1,11,6,2,12,7,4,3,5,8,9]=>[9,8,5,3,4,7,12,2,6,11,1,10]
[12,8,1,9,2,10,6,4,3,5,7,11]=>[11,7,5,3,4,6,10,2,9,1,8,12]
[11,1,12,8,2,9,6,4,3,5,7,10]=>[10,7,5,3,4,6,9,2,8,12,1,11]
[10,1,11,2,12,8,6,4,3,5,7,9]=>[9,7,5,3,4,6,8,12,2,11,1,10]
[9,1,10,4,2,11,3,12,6,5,7,8]=>[8,7,5,6,12,3,11,2,4,10,1,9]
[12,7,1,8,2,9,4,3,10,5,6,11]=>[11,6,5,10,3,4,9,2,8,1,7,12]
[11,1,12,7,2,8,4,3,9,5,6,10]=>[10,6,5,9,3,4,8,2,7,12,1,11]
[10,1,11,2,12,7,4,3,8,5,6,9]=>[9,6,5,8,3,4,7,12,2,11,1,10]
[9,1,10,2,11,4,3,12,7,5,6,8]=>[8,6,5,7,12,3,4,11,2,10,1,9]
[8,1,9,2,10,4,3,11,5,12,6,7]=>[7,6,12,5,11,3,4,10,2,9,1,8]
[12,10,5,1,6,2,7,3,8,4,9,11]=>[11,9,4,8,3,7,2,6,1,5,10,12]
[11,5,1,12,6,2,7,3,8,4,9,10]=>[10,9,4,8,3,7,2,6,12,1,5,11]
[12,9,1,10,5,2,6,3,7,4,8,11]=>[11,8,4,7,3,6,2,5,10,1,9,12]
[11,1,12,9,5,2,6,3,7,4,8,10]=>[10,8,4,7,3,6,2,5,9,12,1,11]
[10,1,11,5,2,12,6,3,7,4,8,9]=>[9,8,4,7,3,6,12,2,5,11,1,10]
[12,8,1,9,2,10,5,3,6,4,7,11]=>[11,7,4,6,3,5,10,2,9,1,8,12]
[11,1,12,8,2,9,5,3,6,4,7,10]=>[10,7,4,6,3,5,9,2,8,12,1,11]
[10,1,11,2,12,8,5,3,6,4,7,9]=>[9,7,4,6,3,5,8,12,2,11,1,10]
[9,1,10,2,11,5,3,12,6,4,7,8]=>[8,7,4,6,12,3,5,11,2,10,1,9]
[12,7,1,8,2,9,3,10,5,4,6,11]=>[11,6,4,5,10,3,9,2,8,1,7,12]
[11,1,12,7,2,8,3,9,5,4,6,10]=>[10,6,4,5,9,3,8,2,7,12,1,11]
[10,1,11,2,12,7,3,8,5,4,6,9]=>[9,6,4,5,8,3,7,12,2,11,1,10]
[9,1,10,2,11,3,12,7,5,4,6,8]=>[8,6,4,5,7,12,3,11,2,10,1,9]
[8,1,9,2,10,3,11,5,4,12,6,7]=>[7,6,12,4,5,11,3,10,2,9,1,8]
[12,6,1,7,2,8,3,9,4,10,5,11]=>[11,5,10,4,9,3,8,2,7,1,6,12]
[11,1,12,6,2,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,2,6,12,1,11]
[10,1,11,2,12,6,3,7,4,8,5,9]=>[9,5,8,4,7,3,6,12,2,11,1,10]
[9,1,10,2,11,3,12,6,4,7,5,8]=>[8,5,7,4,6,12,3,11,2,10,1,9]
[8,1,9,2,10,3,11,4,12,6,5,7]=>[7,5,6,12,4,11,3,10,2,9,1,8]
[3,12,1,2,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,2,1,12,3]
[1,3,5,7,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,7,5,3,1]
[1,3,5,7,10,11,9,12,8,6,4,2]=>[2,4,6,8,12,9,11,10,7,5,3,1]
[1,3,5,8,9,7,11,12,10,6,4,2]=>[2,4,6,10,12,11,7,9,8,5,3,1]
[1,3,5,8,10,11,9,7,12,6,4,2]=>[2,4,6,12,7,9,11,10,8,5,3,1]
[1,3,5,9,10,8,11,7,12,6,4,2]=>[2,4,6,12,7,11,8,10,9,5,3,1]
[1,3,6,7,5,9,11,12,10,8,4,2]=>[2,4,8,10,12,11,9,5,7,6,3,1]
[1,3,6,7,5,10,11,9,12,8,4,2]=>[2,4,8,12,9,11,10,5,7,6,3,1]
[1,3,6,8,9,7,5,11,12,10,4,2]=>[2,4,10,12,11,5,7,9,8,6,3,1]
[1,3,7,8,6,9,5,11,12,10,4,2]=>[2,4,10,12,11,5,9,6,8,7,3,1]
[1,3,6,8,10,11,9,7,5,12,4,2]=>[2,4,12,5,7,9,11,10,8,6,3,1]
[1,3,6,9,10,8,11,7,5,12,4,2]=>[2,4,12,5,7,11,8,10,9,6,3,1]
[1,3,7,8,6,10,11,9,5,12,4,2]=>[2,4,12,5,9,11,10,6,8,7,3,1]
[1,3,7,9,10,8,6,11,5,12,4,2]=>[2,4,12,5,11,6,8,10,9,7,3,1]
[1,3,8,9,7,10,6,11,5,12,4,2]=>[2,4,12,5,11,6,10,7,9,8,3,1]
[1,4,5,3,7,9,11,12,10,8,6,2]=>[2,6,8,10,12,11,9,7,3,5,4,1]
[1,4,5,3,7,10,11,9,12,8,6,2]=>[2,6,8,12,9,11,10,7,3,5,4,1]
[1,4,5,3,8,9,7,11,12,10,6,2]=>[2,6,10,12,11,7,9,8,3,5,4,1]
[1,4,5,3,8,10,11,9,7,12,6,2]=>[2,6,12,7,9,11,10,8,3,5,4,1]
[1,4,5,3,9,10,8,11,7,12,6,2]=>[2,6,12,7,11,8,10,9,3,5,4,1]
[1,4,6,7,5,3,9,11,12,10,8,2]=>[2,8,10,12,11,9,3,5,7,6,4,1]
[1,4,6,7,5,3,10,11,9,12,8,2]=>[2,8,12,9,11,10,3,5,7,6,4,1]
[1,5,6,4,7,3,9,11,12,10,8,2]=>[2,8,10,12,11,9,3,7,4,6,5,1]
[1,5,6,4,7,3,10,11,9,12,8,2]=>[2,8,12,9,11,10,3,7,4,6,5,1]
[1,4,6,8,9,7,5,3,11,12,10,2]=>[2,10,12,11,3,5,7,9,8,6,4,1]
[1,4,7,8,6,9,5,3,11,12,10,2]=>[2,10,12,11,3,5,9,6,8,7,4,1]
[1,5,6,4,8,9,7,3,11,12,10,2]=>[2,10,12,11,3,7,9,8,4,6,5,1]
[1,5,7,8,6,4,9,3,11,12,10,2]=>[2,10,12,11,3,9,4,6,8,7,5,1]
[1,6,7,5,8,4,9,3,11,12,10,2]=>[2,10,12,11,3,9,4,8,5,7,6,1]
[1,4,6,8,10,11,9,7,5,3,12,2]=>[2,12,3,5,7,9,11,10,8,6,4,1]
[1,4,6,9,10,8,11,7,5,3,12,2]=>[2,12,3,5,7,11,8,10,9,6,4,1]
[1,4,7,8,6,10,11,9,5,3,12,2]=>[2,12,3,5,9,11,10,6,8,7,4,1]
[1,4,7,9,10,8,6,11,5,3,12,2]=>[2,12,3,5,11,6,8,10,9,7,4,1]
[1,4,8,9,7,10,6,11,5,3,12,2]=>[2,12,3,5,11,6,10,7,9,8,4,1]
[1,5,6,4,8,10,11,9,7,3,12,2]=>[2,12,3,7,9,11,10,8,4,6,5,1]
[1,5,6,4,9,10,8,11,7,3,12,2]=>[2,12,3,7,11,8,10,9,4,6,5,1]
[1,5,7,8,6,4,10,11,9,3,12,2]=>[2,12,3,9,11,10,4,6,8,7,5,1]
[1,6,7,5,8,4,10,11,9,3,12,2]=>[2,12,3,9,11,10,4,8,5,7,6,1]
[1,5,7,9,10,8,6,4,11,3,12,2]=>[2,12,3,11,4,6,8,10,9,7,5,1]
[1,5,8,9,7,10,6,4,11,3,12,2]=>[2,12,3,11,4,6,10,7,9,8,5,1]
[1,6,7,5,9,10,8,4,11,3,12,2]=>[2,12,3,11,4,8,10,9,5,7,6,1]
[1,6,8,9,7,5,10,4,11,3,12,2]=>[2,12,3,11,4,10,5,7,9,8,6,1]
[1,7,8,6,9,5,10,4,11,3,12,2]=>[2,12,3,11,4,10,5,9,6,8,7,1]
[2,3,1,5,7,9,11,12,10,8,6,4]=>[4,6,8,10,12,11,9,7,5,1,3,2]
[2,3,1,5,7,10,11,9,12,8,6,4]=>[4,6,8,12,9,11,10,7,5,1,3,2]
[2,3,1,5,8,9,7,11,12,10,6,4]=>[4,6,10,12,11,7,9,8,5,1,3,2]
[2,3,1,5,8,10,11,9,7,12,6,4]=>[4,6,12,7,9,11,10,8,5,1,3,2]
[2,3,1,5,9,10,8,11,7,12,6,4]=>[4,6,12,7,11,8,10,9,5,1,3,2]
[2,3,1,6,7,5,9,11,12,10,8,4]=>[4,8,10,12,11,9,5,7,6,1,3,2]
[2,3,1,6,7,5,10,11,9,12,8,4]=>[4,8,12,9,11,10,5,7,6,1,3,2]
[2,3,1,6,8,9,7,5,11,12,10,4]=>[4,10,12,11,5,7,9,8,6,1,3,2]
[2,3,1,7,8,6,9,5,11,12,10,4]=>[4,10,12,11,5,9,6,8,7,1,3,2]
[2,3,1,6,8,10,11,9,7,5,12,4]=>[4,12,5,7,9,11,10,8,6,1,3,2]
[2,3,1,6,9,10,8,11,7,5,12,4]=>[4,12,5,7,11,8,10,9,6,1,3,2]
[2,3,1,7,8,6,10,11,9,5,12,4]=>[4,12,5,9,11,10,6,8,7,1,3,2]
[2,3,1,7,9,10,8,6,11,5,12,4]=>[4,12,5,11,6,8,10,9,7,1,3,2]
[2,3,1,8,9,7,10,6,11,5,12,4]=>[4,12,5,11,6,10,7,9,8,1,3,2]
[2,4,5,3,1,7,9,11,12,10,8,6]=>[6,8,10,12,11,9,7,1,3,5,4,2]
[2,4,5,3,1,7,10,11,9,12,8,6]=>[6,8,12,9,11,10,7,1,3,5,4,2]
[2,4,5,3,1,8,9,7,11,12,10,6]=>[6,10,12,11,7,9,8,1,3,5,4,2]
[2,4,5,3,1,8,10,11,9,7,12,6]=>[6,12,7,9,11,10,8,1,3,5,4,2]
[2,4,5,3,1,9,10,8,11,7,12,6]=>[6,12,7,11,8,10,9,1,3,5,4,2]
[3,4,2,5,1,7,9,11,12,10,8,6]=>[6,8,10,12,11,9,7,1,5,2,4,3]
[3,4,2,5,1,7,10,11,9,12,8,6]=>[6,8,12,9,11,10,7,1,5,2,4,3]
[3,4,2,5,1,8,9,7,11,12,10,6]=>[6,10,12,11,7,9,8,1,5,2,4,3]
[3,4,2,5,1,8,10,11,9,7,12,6]=>[6,12,7,9,11,10,8,1,5,2,4,3]
[3,4,2,5,1,9,10,8,11,7,12,6]=>[6,12,7,11,8,10,9,1,5,2,4,3]
[2,4,6,7,5,3,1,9,11,12,10,8]=>[8,10,12,11,9,1,3,5,7,6,4,2]
[2,4,6,7,5,3,1,10,11,9,12,8]=>[8,12,9,11,10,1,3,5,7,6,4,2]
[2,5,6,4,7,3,1,9,11,12,10,8]=>[8,10,12,11,9,1,3,7,4,6,5,2]
[2,5,6,4,7,3,1,10,11,9,12,8]=>[8,12,9,11,10,1,3,7,4,6,5,2]
[3,4,2,6,7,5,1,9,11,12,10,8]=>[8,10,12,11,9,1,5,7,6,2,4,3]
[3,4,2,6,7,5,1,10,11,9,12,8]=>[8,12,9,11,10,1,5,7,6,2,4,3]
[3,5,6,4,2,7,1,9,11,12,10,8]=>[8,10,12,11,9,1,7,2,4,6,5,3]
[3,5,6,4,2,7,1,10,11,9,12,8]=>[8,12,9,11,10,1,7,2,4,6,5,3]
[4,5,3,6,2,7,1,9,11,12,10,8]=>[8,10,12,11,9,1,7,2,6,3,5,4]
[4,5,3,6,2,7,1,10,11,9,12,8]=>[8,12,9,11,10,1,7,2,6,3,5,4]
[2,4,6,8,9,7,5,3,1,11,12,10]=>[10,12,11,1,3,5,7,9,8,6,4,2]
[2,4,7,8,6,9,5,3,1,11,12,10]=>[10,12,11,1,3,5,9,6,8,7,4,2]
[2,5,6,4,8,9,7,3,1,11,12,10]=>[10,12,11,1,3,7,9,8,4,6,5,2]
[2,5,7,8,6,4,9,3,1,11,12,10]=>[10,12,11,1,3,9,4,6,8,7,5,2]
[2,6,7,5,8,4,9,3,1,11,12,10]=>[10,12,11,1,3,9,4,8,5,7,6,2]
[3,4,2,6,8,9,7,5,1,11,12,10]=>[10,12,11,1,5,7,9,8,6,2,4,3]
[3,4,2,7,8,6,9,5,1,11,12,10]=>[10,12,11,1,5,9,6,8,7,2,4,3]
[3,5,6,4,2,8,9,7,1,11,12,10]=>[10,12,11,1,7,9,8,2,4,6,5,3]
[4,5,3,6,2,8,9,7,1,11,12,10]=>[10,12,11,1,7,9,8,2,6,3,5,4]
[3,5,7,8,6,4,2,9,1,11,12,10]=>[10,12,11,1,9,2,4,6,8,7,5,3]
[3,6,7,5,8,4,2,9,1,11,12,10]=>[10,12,11,1,9,2,4,8,5,7,6,3]
[4,5,3,7,8,6,2,9,1,11,12,10]=>[10,12,11,1,9,2,6,8,7,3,5,4]
[4,6,7,5,3,8,2,9,1,11,12,10]=>[10,12,11,1,9,2,8,3,5,7,6,4]
[5,6,4,7,3,8,2,9,1,11,12,10]=>[10,12,11,1,9,2,8,3,7,4,6,5]
[2,4,6,8,10,11,9,7,5,3,1,12]=>[12,1,3,5,7,9,11,10,8,6,4,2]
[2,4,6,9,10,8,11,7,5,3,1,12]=>[12,1,3,5,7,11,8,10,9,6,4,2]
[2,4,7,8,6,10,11,9,5,3,1,12]=>[12,1,3,5,9,11,10,6,8,7,4,2]
[2,4,7,9,10,8,6,11,5,3,1,12]=>[12,1,3,5,11,6,8,10,9,7,4,2]
[2,4,8,9,7,10,6,11,5,3,1,12]=>[12,1,3,5,11,6,10,7,9,8,4,2]
[2,5,6,4,8,10,11,9,7,3,1,12]=>[12,1,3,7,9,11,10,8,4,6,5,2]
[2,5,6,4,9,10,8,11,7,3,1,12]=>[12,1,3,7,11,8,10,9,4,6,5,2]
[2,5,7,8,6,4,10,11,9,3,1,12]=>[12,1,3,9,11,10,4,6,8,7,5,2]
[2,6,7,5,8,4,10,11,9,3,1,12]=>[12,1,3,9,11,10,4,8,5,7,6,2]
[2,5,7,9,10,8,6,4,11,3,1,12]=>[12,1,3,11,4,6,8,10,9,7,5,2]
[2,5,8,9,7,10,6,4,11,3,1,12]=>[12,1,3,11,4,6,10,7,9,8,5,2]
[2,6,7,5,9,10,8,4,11,3,1,12]=>[12,1,3,11,4,8,10,9,5,7,6,2]
[2,6,8,9,7,5,10,4,11,3,1,12]=>[12,1,3,11,4,10,5,7,9,8,6,2]
[2,7,8,6,9,5,10,4,11,3,1,12]=>[12,1,3,11,4,10,5,9,6,8,7,2]
[3,4,2,6,8,10,11,9,7,5,1,12]=>[12,1,5,7,9,11,10,8,6,2,4,3]
[3,4,2,6,9,10,8,11,7,5,1,12]=>[12,1,5,7,11,8,10,9,6,2,4,3]
[3,4,2,7,8,6,10,11,9,5,1,12]=>[12,1,5,9,11,10,6,8,7,2,4,3]
[3,4,2,7,9,10,8,6,11,5,1,12]=>[12,1,5,11,6,8,10,9,7,2,4,3]
[3,4,2,8,9,7,10,6,11,5,1,12]=>[12,1,5,11,6,10,7,9,8,2,4,3]
[3,5,6,4,2,8,10,11,9,7,1,12]=>[12,1,7,9,11,10,8,2,4,6,5,3]
[3,5,6,4,2,9,10,8,11,7,1,12]=>[12,1,7,11,8,10,9,2,4,6,5,3]
[4,5,3,6,2,8,10,11,9,7,1,12]=>[12,1,7,9,11,10,8,2,6,3,5,4]
[4,5,3,6,2,9,10,8,11,7,1,12]=>[12,1,7,11,8,10,9,2,6,3,5,4]
[3,5,7,8,6,4,2,10,11,9,1,12]=>[12,1,9,11,10,2,4,6,8,7,5,3]
[3,6,7,5,8,4,2,10,11,9,1,12]=>[12,1,9,11,10,2,4,8,5,7,6,3]
[4,5,3,7,8,6,2,10,11,9,1,12]=>[12,1,9,11,10,2,6,8,7,3,5,4]
[4,6,7,5,3,8,2,10,11,9,1,12]=>[12,1,9,11,10,2,8,3,5,7,6,4]
[5,6,4,7,3,8,2,10,11,9,1,12]=>[12,1,9,11,10,2,8,3,7,4,6,5]
[3,5,7,9,10,8,6,4,2,11,1,12]=>[12,1,11,2,4,6,8,10,9,7,5,3]
[3,5,8,9,7,10,6,4,2,11,1,12]=>[12,1,11,2,4,6,10,7,9,8,5,3]
[3,6,7,5,9,10,8,4,2,11,1,12]=>[12,1,11,2,4,8,10,9,5,7,6,3]
[3,6,8,9,7,5,10,4,2,11,1,12]=>[12,1,11,2,4,10,5,7,9,8,6,3]
[3,7,8,6,9,5,10,4,2,11,1,12]=>[12,1,11,2,4,10,5,9,6,8,7,3]
[4,5,3,7,9,10,8,6,2,11,1,12]=>[12,1,11,2,6,8,10,9,7,3,5,4]
[4,5,3,8,9,7,10,6,2,11,1,12]=>[12,1,11,2,6,10,7,9,8,3,5,4]
[4,6,7,5,3,9,10,8,2,11,1,12]=>[12,1,11,2,8,10,9,3,5,7,6,4]
[5,6,4,7,3,9,10,8,2,11,1,12]=>[12,1,11,2,8,10,9,3,7,4,6,5]
[4,6,8,9,7,5,3,10,2,11,1,12]=>[12,1,11,2,10,3,5,7,9,8,6,4]
[4,7,8,6,9,5,3,10,2,11,1,12]=>[12,1,11,2,10,3,5,9,6,8,7,4]
[5,6,4,8,9,7,3,10,2,11,1,12]=>[12,1,11,2,10,3,7,9,8,4,6,5]
[5,7,8,6,4,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,4,6,8,7,5]
[3,2,5,4,7,6,9,8,10,12,11,1]=>[1,11,12,10,8,9,6,7,4,5,2,3]
[3,2,5,4,7,6,8,11,9,10,12,1]=>[1,12,10,9,11,8,6,7,4,5,2,3]
[3,2,5,4,7,6,8,10,9,12,11,1]=>[1,11,12,9,10,8,6,7,4,5,2,3]
[3,2,5,4,7,6,8,9,12,10,11,1]=>[1,11,10,12,9,8,6,7,4,5,2,3]
[3,2,5,4,6,9,7,8,11,10,12,1]=>[1,12,10,11,8,7,9,6,4,5,2,3]
[3,2,5,4,6,9,7,8,10,12,11,1]=>[1,11,12,10,8,7,9,6,4,5,2,3]
[3,2,5,4,6,8,7,11,9,10,12,1]=>[1,12,10,9,11,7,8,6,4,5,2,3]
[3,2,5,4,6,8,7,10,9,12,11,1]=>[1,11,12,9,10,7,8,6,4,5,2,3]
[3,2,5,4,6,8,7,9,12,10,11,1]=>[1,11,10,12,9,7,8,6,4,5,2,3]
[3,2,5,4,6,7,11,8,9,10,12,1]=>[1,12,10,9,8,11,7,6,4,5,2,3]
[3,2,5,4,6,7,10,8,9,12,11,1]=>[1,11,12,9,8,10,7,6,4,5,2,3]
[3,2,5,4,6,7,9,8,12,10,11,1]=>[1,11,10,12,8,9,7,6,4,5,2,3]
[3,2,5,4,6,7,8,12,9,10,11,1]=>[1,11,10,9,12,8,7,6,4,5,2,3]
[3,2,4,7,5,6,9,8,11,10,12,1]=>[1,12,10,11,8,9,6,5,7,4,2,3]
[3,2,4,7,5,6,9,8,10,12,11,1]=>[1,11,12,10,8,9,6,5,7,4,2,3]
[3,2,4,7,5,6,8,11,9,10,12,1]=>[1,12,10,9,11,8,6,5,7,4,2,3]
[3,2,4,7,5,6,8,10,9,12,11,1]=>[1,11,12,9,10,8,6,5,7,4,2,3]
[3,2,4,7,5,6,8,9,12,10,11,1]=>[1,11,10,12,9,8,6,5,7,4,2,3]
[3,2,4,6,5,9,7,8,11,10,12,1]=>[1,12,10,11,8,7,9,5,6,4,2,3]
[3,2,4,6,5,9,7,8,10,12,11,1]=>[1,11,12,10,8,7,9,5,6,4,2,3]
[3,2,4,6,5,8,7,11,9,10,12,1]=>[1,12,10,9,11,7,8,5,6,4,2,3]
[3,2,4,6,5,8,7,10,9,12,11,1]=>[1,11,12,9,10,7,8,5,6,4,2,3]
[3,2,4,6,5,8,7,9,12,10,11,1]=>[1,11,10,12,9,7,8,5,6,4,2,3]
[3,2,4,6,5,7,11,8,9,10,12,1]=>[1,12,10,9,8,11,7,5,6,4,2,3]
[3,2,4,6,5,7,10,8,9,12,11,1]=>[1,11,12,9,8,10,7,5,6,4,2,3]
[3,2,4,6,5,7,9,8,12,10,11,1]=>[1,11,10,12,8,9,7,5,6,4,2,3]
[3,2,4,6,5,7,8,12,9,10,11,1]=>[1,11,10,9,12,8,7,5,6,4,2,3]
[3,2,4,5,9,6,7,8,11,10,12,1]=>[1,12,10,11,8,7,6,9,5,4,2,3]
[3,2,4,5,9,6,7,8,10,12,11,1]=>[1,11,12,10,8,7,6,9,5,4,2,3]
[3,2,4,5,8,6,7,11,9,10,12,1]=>[1,12,10,9,11,7,6,8,5,4,2,3]
[3,2,4,5,8,6,7,10,9,12,11,1]=>[1,11,12,9,10,7,6,8,5,4,2,3]
[3,2,4,5,8,6,7,9,12,10,11,1]=>[1,11,10,12,9,7,6,8,5,4,2,3]
[3,2,4,5,7,6,11,8,9,10,12,1]=>[1,12,10,9,8,11,6,7,5,4,2,3]
[3,2,4,5,7,6,10,8,9,12,11,1]=>[1,11,12,9,8,10,6,7,5,4,2,3]
[3,2,4,5,7,6,9,8,12,10,11,1]=>[1,11,10,12,8,9,6,7,5,4,2,3]
[3,2,4,5,7,6,8,12,9,10,11,1]=>[1,11,10,9,12,8,6,7,5,4,2,3]
[3,2,4,5,6,11,7,8,9,10,12,1]=>[1,12,10,9,8,7,11,6,5,4,2,3]
[3,2,4,5,6,10,7,8,9,12,11,1]=>[1,11,12,9,8,7,10,6,5,4,2,3]
[3,2,4,5,6,9,7,8,12,10,11,1]=>[1,11,10,12,8,7,9,6,5,4,2,3]
[3,2,4,5,6,8,7,12,9,10,11,1]=>[1,11,10,9,12,7,8,6,5,4,2,3]
[3,2,4,5,6,7,12,8,9,10,11,1]=>[1,11,10,9,8,12,7,6,5,4,2,3]
[2,5,3,4,7,6,9,8,11,10,12,1]=>[1,12,10,11,8,9,6,7,4,3,5,2]
[2,5,3,4,7,6,9,8,10,12,11,1]=>[1,11,12,10,8,9,6,7,4,3,5,2]
[2,5,3,4,7,6,8,11,9,10,12,1]=>[1,12,10,9,11,8,6,7,4,3,5,2]
[2,5,3,4,7,6,8,10,9,12,11,1]=>[1,11,12,9,10,8,6,7,4,3,5,2]
[2,5,3,4,7,6,8,9,12,10,11,1]=>[1,11,10,12,9,8,6,7,4,3,5,2]
[2,5,3,4,6,9,7,8,11,10,12,1]=>[1,12,10,11,8,7,9,6,4,3,5,2]
[2,5,3,4,6,9,7,8,10,12,11,1]=>[1,11,12,10,8,7,9,6,4,3,5,2]
[2,5,3,4,6,8,7,11,9,10,12,1]=>[1,12,10,9,11,7,8,6,4,3,5,2]
[2,5,3,4,6,8,7,10,9,12,11,1]=>[1,11,12,9,10,7,8,6,4,3,5,2]
[2,5,3,4,6,8,7,9,12,10,11,1]=>[1,11,10,12,9,7,8,6,4,3,5,2]
[2,5,3,4,6,7,11,8,9,10,12,1]=>[1,12,10,9,8,11,7,6,4,3,5,2]
[2,5,3,4,6,7,10,8,9,12,11,1]=>[1,11,12,9,8,10,7,6,4,3,5,2]
[2,5,3,4,6,7,9,8,12,10,11,1]=>[1,11,10,12,8,9,7,6,4,3,5,2]
[2,5,3,4,6,7,8,12,9,10,11,1]=>[1,11,10,9,12,8,7,6,4,3,5,2]
[2,4,3,7,5,6,9,8,11,10,12,1]=>[1,12,10,11,8,9,6,5,7,3,4,2]
[2,4,3,7,5,6,9,8,10,12,11,1]=>[1,11,12,10,8,9,6,5,7,3,4,2]
[2,4,3,7,5,6,8,11,9,10,12,1]=>[1,12,10,9,11,8,6,5,7,3,4,2]
[2,4,3,7,5,6,8,10,9,12,11,1]=>[1,11,12,9,10,8,6,5,7,3,4,2]
[2,4,3,7,5,6,8,9,12,10,11,1]=>[1,11,10,12,9,8,6,5,7,3,4,2]
[2,4,3,6,5,9,7,8,11,10,12,1]=>[1,12,10,11,8,7,9,5,6,3,4,2]
[2,4,3,6,5,9,7,8,10,12,11,1]=>[1,11,12,10,8,7,9,5,6,3,4,2]
[2,4,3,6,5,8,7,11,9,10,12,1]=>[1,12,10,9,11,7,8,5,6,3,4,2]
[2,4,3,6,5,8,7,9,12,10,11,1]=>[1,11,10,12,9,7,8,5,6,3,4,2]
[2,4,3,6,5,7,11,8,9,10,12,1]=>[1,12,10,9,8,11,7,5,6,3,4,2]
[2,4,3,6,5,7,10,8,9,12,11,1]=>[1,11,12,9,8,10,7,5,6,3,4,2]
[2,4,3,6,5,7,9,8,12,10,11,1]=>[1,11,10,12,8,9,7,5,6,3,4,2]
[2,4,3,6,5,7,8,12,9,10,11,1]=>[1,11,10,9,12,8,7,5,6,3,4,2]
[2,4,3,5,9,6,7,8,11,10,12,1]=>[1,12,10,11,8,7,6,9,5,3,4,2]
[2,4,3,5,9,6,7,8,10,12,11,1]=>[1,11,12,10,8,7,6,9,5,3,4,2]
[2,4,3,5,8,6,7,11,9,10,12,1]=>[1,12,10,9,11,7,6,8,5,3,4,2]
[2,4,3,5,8,6,7,10,9,12,11,1]=>[1,11,12,9,10,7,6,8,5,3,4,2]
[2,4,3,5,8,6,7,9,12,10,11,1]=>[1,11,10,12,9,7,6,8,5,3,4,2]
[2,4,3,5,7,6,11,8,9,10,12,1]=>[1,12,10,9,8,11,6,7,5,3,4,2]
[2,4,3,5,7,6,10,8,9,12,11,1]=>[1,11,12,9,8,10,6,7,5,3,4,2]
[2,4,3,5,7,6,9,8,12,10,11,1]=>[1,11,10,12,8,9,6,7,5,3,4,2]
[2,4,3,5,7,6,8,12,9,10,11,1]=>[1,11,10,9,12,8,6,7,5,3,4,2]
[2,4,3,5,6,11,7,8,9,10,12,1]=>[1,12,10,9,8,7,11,6,5,3,4,2]
[2,4,3,5,6,10,7,8,9,12,11,1]=>[1,11,12,9,8,7,10,6,5,3,4,2]
[2,4,3,5,6,9,7,8,12,10,11,1]=>[1,11,10,12,8,7,9,6,5,3,4,2]
[2,4,3,5,6,8,7,12,9,10,11,1]=>[1,11,10,9,12,7,8,6,5,3,4,2]
[2,4,3,5,6,7,12,8,9,10,11,1]=>[1,11,10,9,8,12,7,6,5,3,4,2]
[2,3,7,4,5,6,9,8,11,10,12,1]=>[1,12,10,11,8,9,6,5,4,7,3,2]
[2,3,7,4,5,6,9,8,10,12,11,1]=>[1,11,12,10,8,9,6,5,4,7,3,2]
[2,3,7,4,5,6,8,11,9,10,12,1]=>[1,12,10,9,11,8,6,5,4,7,3,2]
[2,3,7,4,5,6,8,10,9,12,11,1]=>[1,11,12,9,10,8,6,5,4,7,3,2]
[2,3,7,4,5,6,8,9,12,10,11,1]=>[1,11,10,12,9,8,6,5,4,7,3,2]
[2,3,6,4,5,9,7,8,11,10,12,1]=>[1,12,10,11,8,7,9,5,4,6,3,2]
[2,3,6,4,5,9,7,8,10,12,11,1]=>[1,11,12,10,8,7,9,5,4,6,3,2]
[2,3,6,4,5,8,7,11,9,10,12,1]=>[1,12,10,9,11,7,8,5,4,6,3,2]
[2,3,6,4,5,8,7,10,9,12,11,1]=>[1,11,12,9,10,7,8,5,4,6,3,2]
[2,3,6,4,5,8,7,9,12,10,11,1]=>[1,11,10,12,9,7,8,5,4,6,3,2]
[2,3,6,4,5,7,11,8,9,10,12,1]=>[1,12,10,9,8,11,7,5,4,6,3,2]
[2,3,6,4,5,7,10,8,9,12,11,1]=>[1,11,12,9,8,10,7,5,4,6,3,2]
[2,3,6,4,5,7,9,8,12,10,11,1]=>[1,11,10,12,8,9,7,5,4,6,3,2]
[2,3,6,4,5,7,8,12,9,10,11,1]=>[1,11,10,9,12,8,7,5,4,6,3,2]
[2,3,5,4,9,6,7,8,11,10,12,1]=>[1,12,10,11,8,7,6,9,4,5,3,2]
[2,3,5,4,9,6,7,8,10,12,11,1]=>[1,11,12,10,8,7,6,9,4,5,3,2]
[2,3,5,4,8,6,7,11,9,10,12,1]=>[1,12,10,9,11,7,6,8,4,5,3,2]
[2,3,5,4,8,6,7,10,9,12,11,1]=>[1,11,12,9,10,7,6,8,4,5,3,2]
[2,3,5,4,8,6,7,9,12,10,11,1]=>[1,11,10,12,9,7,6,8,4,5,3,2]
[2,3,5,4,7,6,11,8,9,10,12,1]=>[1,12,10,9,8,11,6,7,4,5,3,2]
[2,3,5,4,7,6,10,8,9,12,11,1]=>[1,11,12,9,8,10,6,7,4,5,3,2]
[2,3,5,4,7,6,9,8,12,10,11,1]=>[1,11,10,12,8,9,6,7,4,5,3,2]
[2,3,5,4,7,6,8,12,9,10,11,1]=>[1,11,10,9,12,8,6,7,4,5,3,2]
[2,3,5,4,6,11,7,8,9,10,12,1]=>[1,12,10,9,8,7,11,6,4,5,3,2]
[2,3,5,4,6,10,7,8,9,12,11,1]=>[1,11,12,9,8,7,10,6,4,5,3,2]
[2,3,5,4,6,9,7,8,12,10,11,1]=>[1,11,10,12,8,7,9,6,4,5,3,2]
[2,3,5,4,6,8,7,12,9,10,11,1]=>[1,11,10,9,12,7,8,6,4,5,3,2]
[2,3,5,4,6,7,12,8,9,10,11,1]=>[1,11,10,9,8,12,7,6,4,5,3,2]
[2,3,4,9,5,6,7,8,11,10,12,1]=>[1,12,10,11,8,7,6,5,9,4,3,2]
[2,3,4,9,5,6,7,8,10,12,11,1]=>[1,11,12,10,8,7,6,5,9,4,3,2]
[2,3,4,8,5,6,7,11,9,10,12,1]=>[1,12,10,9,11,7,6,5,8,4,3,2]
[2,3,4,8,5,6,7,10,9,12,11,1]=>[1,11,12,9,10,7,6,5,8,4,3,2]
[2,3,4,8,5,6,7,9,12,10,11,1]=>[1,11,10,12,9,7,6,5,8,4,3,2]
[2,3,4,7,5,6,11,8,9,10,12,1]=>[1,12,10,9,8,11,6,5,7,4,3,2]
[2,3,4,7,5,6,10,8,9,12,11,1]=>[1,11,12,9,8,10,6,5,7,4,3,2]
[2,3,4,7,5,6,9,8,12,10,11,1]=>[1,11,10,12,8,9,6,5,7,4,3,2]
[2,3,4,7,5,6,8,12,9,10,11,1]=>[1,11,10,9,12,8,6,5,7,4,3,2]
[2,3,4,6,5,11,7,8,9,10,12,1]=>[1,12,10,9,8,7,11,5,6,4,3,2]
[2,3,4,6,5,10,7,8,9,12,11,1]=>[1,11,12,9,8,7,10,5,6,4,3,2]
[2,3,4,6,5,9,7,8,12,10,11,1]=>[1,11,10,12,8,7,9,5,6,4,3,2]
[2,3,4,6,5,8,7,12,9,10,11,1]=>[1,11,10,9,12,7,8,5,6,4,3,2]
[2,3,4,6,5,7,12,8,9,10,11,1]=>[1,11,10,9,8,12,7,5,6,4,3,2]
[2,3,4,5,11,6,7,8,9,10,12,1]=>[1,12,10,9,8,7,6,11,5,4,3,2]
[2,3,4,5,10,6,7,8,9,12,11,1]=>[1,11,12,9,8,7,6,10,5,4,3,2]
[2,3,4,5,9,6,7,8,12,10,11,1]=>[1,11,10,12,8,7,6,9,5,4,3,2]
[2,3,4,5,8,6,7,12,9,10,11,1]=>[1,11,10,9,12,7,6,8,5,4,3,2]
[2,3,4,5,7,6,12,8,9,10,11,1]=>[1,11,10,9,8,12,6,7,5,4,3,2]
[3,7,8,2,4,9,10,1,5,11,12,6]=>[6,12,11,5,1,10,9,4,2,8,7,3]
[3,7,8,2,4,9,10,11,1,5,12,6]=>[6,12,5,1,11,10,9,4,2,8,7,3]
[3,7,8,9,2,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,2,9,8,7,3]
[3,7,8,9,2,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,2,9,8,7,3]
[3,7,8,9,10,2,4,11,1,5,12,6]=>[6,12,5,1,11,4,2,10,9,8,7,3]
[7,3,8,2,4,9,10,1,5,11,12,6]=>[6,12,11,5,1,10,9,4,2,8,3,7]
[7,3,8,2,4,9,10,11,1,5,12,6]=>[6,12,5,1,11,10,9,4,2,8,3,7]
[7,3,8,9,2,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,2,9,8,3,7]
[7,3,8,9,2,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,2,9,8,3,7]
[7,3,8,9,10,2,4,11,1,5,12,6]=>[6,12,5,1,11,4,2,10,9,8,3,7]
[7,8,3,9,2,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,2,9,3,8,7]
[7,8,3,9,2,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,2,9,3,8,7]
[7,8,3,9,10,2,4,11,1,5,12,6]=>[6,12,5,1,11,4,2,10,9,3,8,7]
[7,8,9,3,10,2,4,11,1,5,12,6]=>[6,12,5,1,11,4,2,10,3,9,8,7]
[2,3,7,8,4,9,10,1,5,11,12,6]=>[6,12,11,5,1,10,9,4,8,7,3,2]
[2,3,7,8,4,9,10,11,1,5,12,6]=>[6,12,5,1,11,10,9,4,8,7,3,2]
[2,3,7,8,9,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,9,8,7,3,2]
[2,3,7,8,9,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,9,8,7,3,2]
[2,3,7,8,9,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,9,8,7,3,2]
[7,2,3,8,4,9,10,1,5,11,12,6]=>[6,12,11,5,1,10,9,4,8,3,2,7]
[7,2,3,8,4,9,10,11,1,5,12,6]=>[6,12,5,1,11,10,9,4,8,3,2,7]
[7,2,3,8,9,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,9,8,3,2,7]
[7,2,3,8,9,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,9,8,3,2,7]
[7,2,3,8,9,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,9,8,3,2,7]
[7,8,2,3,9,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,9,3,2,8,7]
[7,8,2,3,9,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,9,3,2,8,7]
[7,8,2,3,9,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,9,3,2,8,7]
[7,8,9,2,3,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,3,2,9,8,7]
[2,7,3,8,4,9,10,1,5,11,12,6]=>[6,12,11,5,1,10,9,4,8,3,7,2]
[2,7,3,8,4,9,10,11,1,5,12,6]=>[6,12,5,1,11,10,9,4,8,3,7,2]
[2,7,3,8,9,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,9,8,3,7,2]
[2,7,3,8,9,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,9,8,3,7,2]
[2,7,3,8,9,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,9,8,3,7,2]
[2,7,8,3,9,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,9,3,8,7,2]
[2,7,8,3,9,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,9,3,8,7,2]
[2,7,8,3,9,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,9,3,8,7,2]
[2,7,8,9,3,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,3,9,8,7,2]
[7,2,8,3,9,4,10,1,5,11,12,6]=>[6,12,11,5,1,10,4,9,3,8,2,7]
[7,2,8,3,9,4,10,11,1,5,12,6]=>[6,12,5,1,11,10,4,9,3,8,2,7]
[7,2,8,3,9,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,9,3,8,2,7]
[7,2,8,9,3,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,3,9,8,2,7]
[7,8,2,9,3,10,4,11,1,5,12,6]=>[6,12,5,1,11,4,10,3,9,2,8,7]
[3,7,8,1,2,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,2,1,8,7,3]
[3,7,8,1,2,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,2,1,8,7,3]
[3,7,8,9,1,2,4,10,5,11,12,6]=>[6,12,11,5,10,4,2,1,9,8,7,3]
[3,7,8,9,1,2,4,10,11,5,12,6]=>[6,12,5,11,10,4,2,1,9,8,7,3]
[3,7,8,9,10,1,2,4,11,5,12,6]=>[6,12,5,11,4,2,1,10,9,8,7,3]
[7,3,8,1,2,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,2,1,8,3,7]
[7,3,8,1,2,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,2,1,8,3,7]
[7,3,8,9,1,2,4,10,5,11,12,6]=>[6,12,11,5,10,4,2,1,9,8,3,7]
[7,3,8,9,1,2,4,10,11,5,12,6]=>[6,12,5,11,10,4,2,1,9,8,3,7]
[7,3,8,9,10,1,2,4,11,5,12,6]=>[6,12,5,11,4,2,1,10,9,8,3,7]
[7,8,3,9,1,2,4,10,5,11,12,6]=>[6,12,11,5,10,4,2,1,9,3,8,7]
[7,8,3,9,1,2,4,10,11,5,12,6]=>[6,12,5,11,10,4,2,1,9,3,8,7]
[7,8,3,9,10,1,2,4,11,5,12,6]=>[6,12,5,11,4,2,1,10,9,3,8,7]
[7,8,9,3,10,1,2,4,11,5,12,6]=>[6,12,5,11,4,2,1,10,3,9,8,7]
[2,3,7,8,1,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,1,8,7,3,2]
[2,3,7,8,1,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,1,8,7,3,2]
[2,3,7,8,9,1,4,10,5,11,12,6]=>[6,12,11,5,10,4,1,9,8,7,3,2]
[2,3,7,8,9,1,4,10,11,5,12,6]=>[6,12,5,11,10,4,1,9,8,7,3,2]
[2,3,7,8,9,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,9,8,7,3,2]
[7,2,3,8,1,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,1,8,3,2,7]
[7,2,3,8,1,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,1,8,3,2,7]
[7,2,3,8,9,1,4,10,5,11,12,6]=>[6,12,11,5,10,4,1,9,8,3,2,7]
[7,2,3,8,9,1,4,10,11,5,12,6]=>[6,12,5,11,10,4,1,9,8,3,2,7]
[7,2,3,8,9,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,9,8,3,2,7]
[7,8,2,3,9,1,4,10,5,11,12,6]=>[6,12,11,5,10,4,1,9,3,2,8,7]
[7,8,2,3,9,1,4,10,11,5,12,6]=>[6,12,5,11,10,4,1,9,3,2,8,7]
[7,8,2,3,9,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,9,3,2,8,7]
[7,8,9,2,3,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,3,2,9,8,7]
[2,7,3,8,1,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,1,8,3,7,2]
[2,7,3,8,1,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,1,8,3,7,2]
[2,7,3,8,9,1,4,10,5,11,12,6]=>[6,12,11,5,10,4,1,9,8,3,7,2]
[2,7,3,8,9,1,4,10,11,5,12,6]=>[6,12,5,11,10,4,1,9,8,3,7,2]
[2,7,3,8,9,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,9,8,3,7,2]
[2,7,8,3,9,1,4,10,5,11,12,6]=>[6,12,11,5,10,4,1,9,3,8,7,2]
[2,7,8,3,9,1,4,10,11,5,12,6]=>[6,12,5,11,10,4,1,9,3,8,7,2]
[2,7,8,3,9,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,9,3,8,7,2]
[2,7,8,9,3,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,3,9,8,7,2]
[7,2,8,3,9,1,4,10,5,11,12,6]=>[6,12,11,5,10,4,1,9,3,8,2,7]
[7,2,8,3,9,1,4,10,11,5,12,6]=>[6,12,5,11,10,4,1,9,3,8,2,7]
[7,2,8,3,9,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,9,3,8,2,7]
[7,2,8,9,3,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,3,9,8,2,7]
[7,8,2,9,3,10,1,4,11,5,12,6]=>[6,12,5,11,4,1,10,3,9,2,8,7]
[1,2,3,7,8,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,8,7,3,2,1]
[1,2,3,7,8,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,8,7,3,2,1]
[1,2,3,7,8,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,8,7,3,2,1]
[1,2,3,7,8,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,8,7,3,2,1]
[1,2,3,7,8,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,8,7,3,2,1]
[7,1,2,3,8,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,8,3,2,1,7]
[7,1,2,3,8,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,8,3,2,1,7]
[7,1,2,3,8,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,8,3,2,1,7]
[7,1,2,3,8,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,8,3,2,1,7]
[7,1,2,3,8,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,8,3,2,1,7]
[7,8,1,2,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,2,1,8,7]
[7,8,1,2,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,2,1,8,7]
[7,8,1,2,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,2,1,8,7]
[2,7,1,3,8,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,8,3,1,7,2]
[2,7,1,3,8,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,8,3,1,7,2]
[2,7,1,3,8,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,8,3,1,7,2]
[2,7,1,3,8,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,8,3,1,7,2]
[2,7,1,3,8,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,8,3,1,7,2]
[2,7,8,1,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,1,8,7,2]
[2,7,8,1,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,1,8,7,2]
[2,7,8,1,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,1,8,7,2]
[2,7,8,9,1,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,1,9,8,7,2]
[7,2,8,1,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,1,8,2,7]
[7,2,8,1,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,1,8,2,7]
[7,2,8,1,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,1,8,2,7]
[7,2,8,9,1,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,1,9,8,2,7]
[7,8,2,9,1,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,1,9,2,8,7]
[1,2,7,3,8,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,8,3,7,2,1]
[1,2,7,3,8,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,8,3,7,2,1]
[1,2,7,3,8,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,8,3,7,2,1]
[1,2,7,3,8,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,8,3,7,2,1]
[1,2,7,3,8,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,8,3,7,2,1]
[1,2,7,8,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,8,7,2,1]
[1,2,7,8,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,8,7,2,1]
[1,2,7,8,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,8,7,2,1]
[1,2,7,8,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,8,7,2,1]
[7,1,2,8,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,8,2,1,7]
[7,1,2,8,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,8,2,1,7]
[7,1,2,8,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,8,2,1,7]
[7,1,2,8,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,8,2,1,7]
[1,7,2,8,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,8,2,7,1]
[1,7,2,8,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,8,2,7,1]
[1,7,2,8,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,8,2,7,1]
[1,7,2,8,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,8,2,7,1]
[11,10,1,2,3,4,5,6,7,8,12,9]=>[9,12,8,7,6,5,4,3,2,1,10,11]
[12,10,1,2,3,4,5,6,7,11,8,9]=>[9,8,11,7,6,5,4,3,2,1,10,12]
[12,11,1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1,11,12]
[12,11,1,2,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,2,1,11,12]
[11,10,1,2,3,4,12,5,6,7,8,9]=>[9,8,7,6,5,12,4,3,2,1,10,11]
[12,10,1,2,3,11,4,5,6,7,8,9]=>[9,8,7,6,5,4,11,3,2,1,10,12]
[12,11,1,2,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,2,1,11,12]
[12,11,1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1,11,12]
[10,11,12,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,12,11,10]
[7,6,8,5,9,4,10,3,12,11,1,2]=>[2,1,11,12,3,10,4,9,5,8,6,7]
[7,6,8,5,9,4,11,10,2,3,12,1]=>[1,12,3,2,10,11,4,9,5,8,6,7]
[7,6,8,5,9,4,12,10,2,11,1,3]=>[3,1,11,2,10,12,4,9,5,8,6,7]
[7,6,8,5,9,4,12,11,10,1,2,3]=>[3,2,1,10,11,12,4,9,5,8,6,7]
[7,6,8,5,10,9,3,4,11,2,12,1]=>[1,12,2,11,4,3,9,10,5,8,6,7]
[7,6,8,5,10,9,3,4,12,11,1,2]=>[2,1,11,12,4,3,9,10,5,8,6,7]
[7,6,8,5,11,9,3,10,2,4,12,1]=>[1,12,4,2,10,3,9,11,5,8,6,7]
[7,6,8,5,12,9,3,10,2,11,1,4]=>[4,1,11,2,10,3,9,12,5,8,6,7]
[7,6,8,5,12,9,3,11,10,1,2,4]=>[4,2,1,10,11,3,9,12,5,8,6,7]
[7,6,8,5,11,10,9,2,3,4,12,1]=>[1,12,4,3,2,9,10,11,5,8,6,7]
[7,6,8,5,12,10,9,2,3,11,1,4]=>[4,1,11,3,2,9,10,12,5,8,6,7]
[7,6,8,5,12,11,9,2,10,1,3,4]=>[4,3,1,10,2,9,11,12,5,8,6,7]
[7,6,8,5,12,11,10,9,1,2,3,4]=>[4,3,2,1,9,10,11,12,5,8,6,7]
[7,6,9,8,4,5,10,3,11,2,12,1]=>[1,12,2,11,3,10,5,4,8,9,6,7]
[7,6,9,8,4,5,10,3,12,11,1,2]=>[2,1,11,12,3,10,5,4,8,9,6,7]
[7,6,9,8,4,5,11,10,2,3,12,1]=>[1,12,3,2,10,11,5,4,8,9,6,7]
[7,6,9,8,4,5,12,10,2,11,1,3]=>[3,1,11,2,10,12,5,4,8,9,6,7]
[7,6,9,8,4,5,12,11,10,1,2,3]=>[3,2,1,10,11,12,5,4,8,9,6,7]
[7,6,10,8,4,9,3,5,11,2,12,1]=>[1,12,2,11,5,3,9,4,8,10,6,7]
[7,6,10,8,4,9,3,5,12,11,1,2]=>[2,1,11,12,5,3,9,4,8,10,6,7]
[7,6,11,8,4,9,3,10,2,5,12,1]=>[1,12,5,2,10,3,9,4,8,11,6,7]
[7,6,12,8,4,9,3,10,2,11,1,5]=>[5,1,11,2,10,3,9,4,8,12,6,7]
[7,6,12,8,4,9,3,11,10,1,2,5]=>[5,2,1,10,11,3,9,4,8,12,6,7]
[7,6,11,8,4,10,9,2,3,5,12,1]=>[1,12,5,3,2,9,10,4,8,11,6,7]
[7,6,12,8,4,10,9,2,3,11,1,5]=>[5,1,11,3,2,9,10,4,8,12,6,7]
[7,6,12,8,4,11,9,2,10,1,3,5]=>[5,3,1,10,2,9,11,4,8,12,6,7]
[7,6,12,8,4,11,10,9,1,2,3,5]=>[5,3,2,1,9,10,11,4,8,12,6,7]
[7,6,10,9,8,3,4,5,11,2,12,1]=>[1,12,2,11,5,4,3,8,9,10,6,7]
[7,6,10,9,8,3,4,5,12,11,1,2]=>[2,1,11,12,5,4,3,8,9,10,6,7]
[7,6,11,9,8,3,4,10,2,5,12,1]=>[1,12,5,2,10,4,3,8,9,11,6,7]
[7,6,12,9,8,3,4,10,2,11,1,5]=>[5,1,11,2,10,4,3,8,9,12,6,7]
[7,6,12,9,8,3,4,11,10,1,2,5]=>[5,2,1,10,11,4,3,8,9,12,6,7]
[7,6,11,10,8,3,9,2,4,5,12,1]=>[1,12,5,4,2,9,3,8,10,11,6,7]
[7,6,12,10,8,3,9,2,4,11,1,5]=>[5,1,11,4,2,9,3,8,10,12,6,7]
[7,6,12,11,8,3,9,2,10,1,4,5]=>[5,4,1,10,2,9,3,8,11,12,6,7]
[7,6,12,11,8,3,10,9,1,2,4,5]=>[5,4,2,1,9,10,3,8,11,12,6,7]
[7,6,11,10,9,8,2,3,4,5,12,1]=>[1,12,5,4,3,2,8,9,10,11,6,7]
[7,6,12,10,9,8,2,3,4,11,1,5]=>[5,1,11,4,3,2,8,9,10,12,6,7]
[7,6,12,11,9,8,2,3,10,1,4,5]=>[5,4,1,10,3,2,8,9,11,12,6,7]
[7,6,12,11,10,8,2,9,1,3,4,5]=>[5,4,3,1,9,2,8,10,11,12,6,7]
[7,6,12,11,10,9,8,1,2,3,4,5]=>[5,4,3,2,1,8,9,10,11,12,6,7]
[8,7,5,6,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,6,5,7,8]
[8,7,5,6,9,4,10,3,12,11,1,2]=>[2,1,11,12,3,10,4,9,6,5,7,8]
[8,7,5,6,9,4,11,10,2,3,12,1]=>[1,12,3,2,10,11,4,9,6,5,7,8]
[8,7,5,6,9,4,12,10,2,11,1,3]=>[3,1,11,2,10,12,4,9,6,5,7,8]
[8,7,5,6,9,4,12,11,10,1,2,3]=>[3,2,1,10,11,12,4,9,6,5,7,8]
[8,7,5,6,10,9,3,4,11,2,12,1]=>[1,12,2,11,4,3,9,10,6,5,7,8]
[8,7,5,6,10,9,3,4,12,11,1,2]=>[2,1,11,12,4,3,9,10,6,5,7,8]
[8,7,5,6,11,9,3,10,2,4,12,1]=>[1,12,4,2,10,3,9,11,6,5,7,8]
[8,7,5,6,12,9,3,10,2,11,1,4]=>[4,1,11,2,10,3,9,12,6,5,7,8]
[8,7,5,6,12,9,3,11,10,1,2,4]=>[4,2,1,10,11,3,9,12,6,5,7,8]
[8,7,5,6,11,10,9,2,3,4,12,1]=>[1,12,4,3,2,9,10,11,6,5,7,8]
[8,7,5,6,12,10,9,2,3,11,1,4]=>[4,1,11,3,2,9,10,12,6,5,7,8]
[8,7,5,6,12,11,9,2,10,1,3,4]=>[4,3,1,10,2,9,11,12,6,5,7,8]
[8,7,5,6,12,11,10,9,1,2,3,4]=>[4,3,2,1,9,10,11,12,6,5,7,8]
[9,7,5,8,4,6,10,3,11,2,12,1]=>[1,12,2,11,3,10,6,4,8,5,7,9]
[9,7,5,8,4,6,10,3,12,11,1,2]=>[2,1,11,12,3,10,6,4,8,5,7,9]
[9,7,5,8,4,6,11,10,2,3,12,1]=>[1,12,3,2,10,11,6,4,8,5,7,9]
[9,7,5,8,4,6,12,10,2,11,1,3]=>[3,1,11,2,10,12,6,4,8,5,7,9]
[9,7,5,8,4,6,12,11,10,1,2,3]=>[3,2,1,10,11,12,6,4,8,5,7,9]
[10,7,5,8,4,9,3,6,11,2,12,1]=>[1,12,2,11,6,3,9,4,8,5,7,10]
[10,7,5,8,4,9,3,6,12,11,1,2]=>[2,1,11,12,6,3,9,4,8,5,7,10]
[11,7,5,8,4,9,3,10,2,6,12,1]=>[1,12,6,2,10,3,9,4,8,5,7,11]
[12,7,5,8,4,9,3,10,2,11,1,6]=>[6,1,11,2,10,3,9,4,8,5,7,12]
[12,7,5,8,4,9,3,11,10,1,2,6]=>[6,2,1,10,11,3,9,4,8,5,7,12]
[11,7,5,8,4,10,9,2,3,6,12,1]=>[1,12,6,3,2,9,10,4,8,5,7,11]
[12,7,5,8,4,10,9,2,3,11,1,6]=>[6,1,11,3,2,9,10,4,8,5,7,12]
[12,7,5,8,4,11,9,2,10,1,3,6]=>[6,3,1,10,2,9,11,4,8,5,7,12]
[12,7,5,8,4,11,10,9,1,2,3,6]=>[6,3,2,1,9,10,11,4,8,5,7,12]
[10,7,5,9,8,3,4,6,11,2,12,1]=>[1,12,2,11,6,4,3,8,9,5,7,10]
[10,7,5,9,8,3,4,6,12,11,1,2]=>[2,1,11,12,6,4,3,8,9,5,7,10]
[11,7,5,9,8,3,4,10,2,6,12,1]=>[1,12,6,2,10,4,3,8,9,5,7,11]
[12,7,5,9,8,3,4,10,2,11,1,6]=>[6,1,11,2,10,4,3,8,9,5,7,12]
[12,7,5,9,8,3,4,11,10,1,2,6]=>[6,2,1,10,11,4,3,8,9,5,7,12]
[11,7,5,10,8,3,9,2,4,6,12,1]=>[1,12,6,4,2,9,3,8,10,5,7,11]
[12,7,5,10,8,3,9,2,4,11,1,6]=>[6,1,11,4,2,9,3,8,10,5,7,12]
[12,7,5,11,8,3,9,2,10,1,4,6]=>[6,4,1,10,2,9,3,8,11,5,7,12]
[12,7,5,11,8,3,10,9,1,2,4,6]=>[6,4,2,1,9,10,3,8,11,5,7,12]
[11,7,5,10,9,8,2,3,4,6,12,1]=>[1,12,6,4,3,2,8,9,10,5,7,11]
[12,7,5,10,9,8,2,3,4,11,1,6]=>[6,1,11,4,3,2,8,9,10,5,7,12]
[12,7,5,11,9,8,2,3,10,1,4,6]=>[6,4,1,10,3,2,8,9,11,5,7,12]
[12,7,5,11,10,8,2,9,1,3,4,6]=>[6,4,3,1,9,2,8,10,11,5,7,12]
[12,7,5,11,10,9,8,1,2,3,4,6]=>[6,4,3,2,1,8,9,10,11,5,7,12]
[9,8,7,4,5,6,10,3,11,2,12,1]=>[1,12,2,11,3,10,6,5,4,7,8,9]
[9,8,7,4,5,6,10,3,12,11,1,2]=>[2,1,11,12,3,10,6,5,4,7,8,9]
[9,8,7,4,5,6,11,10,2,3,12,1]=>[1,12,3,2,10,11,6,5,4,7,8,9]
[9,8,7,4,5,6,12,10,2,11,1,3]=>[3,1,11,2,10,12,6,5,4,7,8,9]
[9,8,7,4,5,6,12,11,10,1,2,3]=>[3,2,1,10,11,12,6,5,4,7,8,9]
[10,8,7,4,5,9,3,6,11,2,12,1]=>[1,12,2,11,6,3,9,5,4,7,8,10]
[10,8,7,4,5,9,3,6,12,11,1,2]=>[2,1,11,12,6,3,9,5,4,7,8,10]
[11,8,7,4,5,9,3,10,2,6,12,1]=>[1,12,6,2,10,3,9,5,4,7,8,11]
[12,8,7,4,5,9,3,10,2,11,1,6]=>[6,1,11,2,10,3,9,5,4,7,8,12]
[12,8,7,4,5,9,3,11,10,1,2,6]=>[6,2,1,10,11,3,9,5,4,7,8,12]
[11,8,7,4,5,10,9,2,3,6,12,1]=>[1,12,6,3,2,9,10,5,4,7,8,11]
[12,8,7,4,5,10,9,2,3,11,1,6]=>[6,1,11,3,2,9,10,5,4,7,8,12]
[12,8,7,4,5,11,9,2,10,1,3,6]=>[6,3,1,10,2,9,11,5,4,7,8,12]
[12,8,7,4,5,11,10,9,1,2,3,6]=>[6,3,2,1,9,10,11,5,4,7,8,12]
[10,9,7,4,8,3,5,6,11,2,12,1]=>[1,12,2,11,6,5,3,8,4,7,9,10]
[10,9,7,4,8,3,5,6,12,11,1,2]=>[2,1,11,12,6,5,3,8,4,7,9,10]
[11,9,7,4,8,3,5,10,2,6,12,1]=>[1,12,6,2,10,5,3,8,4,7,9,11]
[12,9,7,4,8,3,5,10,2,11,1,6]=>[6,1,11,2,10,5,3,8,4,7,9,12]
[12,9,7,4,8,3,5,11,10,1,2,6]=>[6,2,1,10,11,5,3,8,4,7,9,12]
[11,10,7,4,8,3,9,2,5,6,12,1]=>[1,12,6,5,2,9,3,8,4,7,10,11]
[12,10,7,4,8,3,9,2,5,11,1,6]=>[6,1,11,5,2,9,3,8,4,7,10,12]
[12,11,7,4,8,3,9,2,10,1,5,6]=>[6,5,1,10,2,9,3,8,4,7,11,12]
[12,11,7,4,8,3,10,9,1,2,5,6]=>[6,5,2,1,9,10,3,8,4,7,11,12]
[11,10,7,4,9,8,2,3,5,6,12,1]=>[1,12,6,5,3,2,8,9,4,7,10,11]
[12,10,7,4,9,8,2,3,5,11,1,6]=>[6,1,11,5,3,2,8,9,4,7,10,12]
[12,11,7,4,9,8,2,3,10,1,5,6]=>[6,5,1,10,3,2,8,9,4,7,11,12]
[12,11,7,4,10,8,2,9,1,3,5,6]=>[6,5,3,1,9,2,8,10,4,7,11,12]
[12,11,7,4,10,9,8,1,2,3,5,6]=>[6,5,3,2,1,8,9,10,4,7,11,12]
[10,9,8,7,3,4,5,6,11,2,12,1]=>[1,12,2,11,6,5,4,3,7,8,9,10]
[10,9,8,7,3,4,5,6,12,11,1,2]=>[2,1,11,12,6,5,4,3,7,8,9,10]
[11,9,8,7,3,4,5,10,2,6,12,1]=>[1,12,6,2,10,5,4,3,7,8,9,11]
[12,9,8,7,3,4,5,10,2,11,1,6]=>[6,1,11,2,10,5,4,3,7,8,9,12]
[12,9,8,7,3,4,5,11,10,1,2,6]=>[6,2,1,10,11,5,4,3,7,8,9,12]
[11,10,8,7,3,4,9,2,5,6,12,1]=>[1,12,6,5,2,9,4,3,7,8,10,11]
[12,10,8,7,3,4,9,2,5,11,1,6]=>[6,1,11,5,2,9,4,3,7,8,10,12]
[12,11,8,7,3,4,9,2,10,1,5,6]=>[6,5,1,10,2,9,4,3,7,8,11,12]
[12,11,8,7,3,4,10,9,1,2,5,6]=>[6,5,2,1,9,10,4,3,7,8,11,12]
[11,10,9,7,3,8,2,4,5,6,12,1]=>[1,12,6,5,4,2,8,3,7,9,10,11]
[12,10,9,7,3,8,2,4,5,11,1,6]=>[6,1,11,5,4,2,8,3,7,9,10,12]
[12,11,9,7,3,8,2,4,10,1,5,6]=>[6,5,1,10,4,2,8,3,7,9,11,12]
[12,11,10,7,3,8,2,9,1,4,5,6]=>[6,5,4,1,9,2,8,3,7,10,11,12]
[12,11,10,7,3,9,8,1,2,4,5,6]=>[6,5,4,2,1,8,9,3,7,10,11,12]
[11,10,9,8,7,2,3,4,5,6,12,1]=>[1,12,6,5,4,3,2,7,8,9,10,11]
[12,10,9,8,7,2,3,4,5,11,1,6]=>[6,1,11,5,4,3,2,7,8,9,10,12]
[12,11,9,8,7,2,3,4,10,1,5,6]=>[6,5,1,10,4,3,2,7,8,9,11,12]
[12,11,10,8,7,2,3,9,1,4,5,6]=>[6,5,4,1,9,3,2,7,8,10,11,12]
[12,11,10,9,7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7,9,10,11,12]
[12,11,9,5,10,7,1,2,4,8,3,6]=>[6,3,8,4,2,1,7,10,5,9,11,12]
[11,9,5,12,10,7,1,2,4,8,3,6]=>[6,3,8,4,2,1,7,10,12,5,9,11]
[10,7,1,2,4,9,5,12,11,8,3,6]=>[6,3,8,11,12,5,9,4,2,1,7,10]
[12,10,7,1,2,4,9,5,11,8,3,6]=>[6,3,8,11,5,9,4,2,1,7,10,12]
[10,7,1,2,4,12,9,5,11,8,3,6]=>[6,3,8,11,5,9,12,4,2,1,7,10]
[8,3,7,1,2,4,12,11,9,5,10,6]=>[6,10,5,9,11,12,4,2,1,7,3,8]
[8,3,7,1,2,4,11,9,5,12,10,6]=>[6,10,12,5,9,11,4,2,1,7,3,8]
[12,11,8,3,7,1,2,4,9,5,10,6]=>[6,10,5,9,4,2,1,7,3,8,11,12]
[11,8,3,7,1,2,4,9,5,12,10,6]=>[6,10,12,5,9,4,2,1,7,3,8,11]
[12,9,5,11,8,3,7,1,2,4,10,6]=>[6,10,4,2,1,7,3,8,11,5,9,12]
[8,3,12,11,7,1,2,4,9,5,10,6]=>[6,10,5,9,4,2,1,7,11,12,3,8]
[8,3,11,7,1,2,4,9,5,12,10,6]=>[6,10,12,5,9,4,2,1,7,11,3,8]
[8,3,12,9,5,11,7,1,2,4,10,6]=>[6,10,4,2,1,7,11,5,9,12,3,8]
[12,8,3,9,5,11,7,1,2,4,10,6]=>[6,10,4,2,1,7,11,5,9,3,8,12]
[10,7,1,2,5,12,11,9,4,8,3,6]=>[6,3,8,4,9,11,12,5,2,1,7,10]
[12,10,7,1,2,5,11,9,4,8,3,6]=>[6,3,8,4,9,11,5,2,1,7,10,12]
[9,4,10,7,1,2,5,12,11,8,3,6]=>[6,3,8,11,12,5,2,1,7,10,4,9]
[9,4,12,10,7,1,2,5,11,8,3,6]=>[6,3,8,11,5,2,1,7,10,12,4,9]
[12,9,4,10,7,1,2,5,11,8,3,6]=>[6,3,8,11,5,2,1,7,10,4,9,12]
[12,11,9,4,8,3,7,1,2,5,10,6]=>[6,10,5,2,1,7,3,8,4,9,11,12]
[11,9,4,8,3,7,1,2,5,12,10,6]=>[6,10,12,5,2,1,7,3,8,4,9,11]
[9,4,12,11,8,3,7,1,2,5,10,6]=>[6,10,5,2,1,7,3,8,11,12,4,9]
[9,4,11,8,3,7,1,2,5,12,10,6]=>[6,10,12,5,2,1,7,3,8,11,4,9]
[11,8,3,7,1,2,5,12,9,4,10,6]=>[6,10,4,9,12,5,2,1,7,3,8,11]
[8,3,9,4,12,11,7,1,2,5,10,6]=>[6,10,5,2,1,7,11,12,4,9,3,8]
[8,3,9,4,11,7,1,2,5,12,10,6]=>[6,10,12,5,2,1,7,11,4,9,3,8]
[8,3,11,7,1,2,5,12,9,4,10,6]=>[6,10,4,9,12,5,2,1,7,11,3,8]
[11,7,1,2,5,12,8,3,9,4,10,6]=>[6,10,4,9,3,8,12,5,2,1,7,11]
[10,5,12,11,9,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,9,11,12,5,10]
[12,10,5,11,9,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,9,11,5,10,12]
[9,4,10,5,12,11,8,3,7,1,2,6]=>[6,2,1,7,3,8,11,12,5,10,4,9]
[9,4,12,10,5,11,8,3,7,1,2,6]=>[6,2,1,7,3,8,11,5,10,12,4,9]
[12,9,4,10,5,11,8,3,7,1,2,6]=>[6,2,1,7,3,8,11,5,10,4,9,12]
[8,3,9,4,10,5,12,11,7,1,2,6]=>[6,2,1,7,11,12,5,10,4,9,3,8]
[8,3,9,4,12,10,5,11,7,1,2,6]=>[6,2,1,7,11,5,10,12,4,9,3,8]
[8,3,12,9,4,10,5,11,7,1,2,6]=>[6,2,1,7,11,5,10,4,9,12,3,8]
[12,8,3,9,4,10,5,11,7,1,2,6]=>[6,2,1,7,11,5,10,4,9,3,8,12]
[7,1,2,8,3,9,4,10,5,12,11,6]=>[6,11,12,5,10,4,9,3,8,2,1,7]
[7,1,2,8,3,9,4,12,10,5,11,6]=>[6,11,5,10,12,4,9,3,8,2,1,7]
[7,1,2,8,3,12,9,4,10,5,11,6]=>[6,11,5,10,4,9,12,3,8,2,1,7]
[7,1,2,12,8,3,9,4,10,5,11,6]=>[6,11,5,10,4,9,3,8,12,2,1,7]
[12,7,1,2,8,3,9,4,10,5,11,6]=>[6,11,5,10,4,9,3,8,2,1,7,12]
[8,2,4,12,11,9,5,10,7,1,3,6]=>[6,3,1,7,10,5,9,11,12,4,2,8]
[8,2,4,11,9,5,12,10,7,1,3,6]=>[6,3,1,7,10,12,5,9,11,4,2,8]
[12,11,8,2,4,9,5,10,7,1,3,6]=>[6,3,1,7,10,5,9,4,2,8,11,12]
[11,8,2,4,9,5,12,10,7,1,3,6]=>[6,3,1,7,10,12,5,9,4,2,8,11]
[12,9,5,11,8,2,4,10,7,1,3,6]=>[6,3,1,7,10,4,2,8,11,5,9,12]
[7,1,3,8,2,4,12,11,9,5,10,6]=>[6,10,5,9,11,12,4,2,8,3,1,7]
[7,1,3,8,2,4,11,9,5,12,10,6]=>[6,10,12,5,9,11,4,2,8,3,1,7]
[7,1,3,12,11,8,2,4,9,5,10,6]=>[6,10,5,9,4,2,8,11,12,3,1,7]
[7,1,3,11,8,2,4,9,5,12,10,6]=>[6,10,12,5,9,4,2,8,11,3,1,7]
[7,1,3,12,9,5,11,8,2,4,10,6]=>[6,10,4,2,8,11,5,9,12,3,1,7]
[12,11,7,1,3,8,2,4,9,5,10,6]=>[6,10,5,9,4,2,8,3,1,7,11,12]
[11,7,1,3,8,2,4,9,5,12,10,6]=>[6,10,12,5,9,4,2,8,3,1,7,11]
[12,9,5,11,7,1,3,8,2,4,10,6]=>[6,10,4,2,8,3,1,7,11,5,9,12]
[11,7,1,3,9,5,12,8,2,4,10,6]=>[6,10,4,2,8,12,5,9,3,1,7,11]
[12,11,9,4,8,2,5,10,7,1,3,6]=>[6,3,1,7,10,5,2,8,4,9,11,12]
[11,9,4,8,2,5,12,10,7,1,3,6]=>[6,3,1,7,10,12,5,2,8,4,9,11]
[9,4,12,11,8,2,5,10,7,1,3,6]=>[6,3,1,7,10,5,2,8,11,12,4,9]
[9,4,11,8,2,5,12,10,7,1,3,6]=>[6,3,1,7,10,12,5,2,8,11,4,9]
[11,8,2,5,12,9,4,10,7,1,3,6]=>[6,3,1,7,10,4,9,12,5,2,8,11]
[7,1,3,12,11,9,4,8,2,5,10,6]=>[6,10,5,2,8,4,9,11,12,3,1,7]
[7,1,3,11,9,4,8,2,5,12,10,6]=>[6,10,12,5,2,8,4,9,11,3,1,7]
[7,1,3,9,4,12,11,8,2,5,10,6]=>[6,10,5,2,8,11,12,4,9,3,1,7]
[7,1,3,9,4,11,8,2,5,12,10,6]=>[6,10,12,5,2,8,11,4,9,3,1,7]
[7,1,3,11,8,2,5,12,9,4,10,6]=>[6,10,4,9,12,5,2,8,11,3,1,7]
[9,4,12,11,7,1,3,8,2,5,10,6]=>[6,10,5,2,8,3,1,7,11,12,4,9]
[9,4,11,7,1,3,8,2,5,12,10,6]=>[6,10,12,5,2,8,3,1,7,11,4,9]
[11,7,1,3,8,2,5,12,9,4,10,6]=>[6,10,4,9,12,5,2,8,3,1,7,11]
[12,8,2,5,11,7,1,3,9,4,10,6]=>[6,10,4,9,3,1,7,11,5,2,8,12]
[7,1,3,10,5,12,11,9,4,8,2,6]=>[6,2,8,4,9,11,12,5,10,3,1,7]
[7,1,3,12,10,5,11,9,4,8,2,6]=>[6,2,8,4,9,11,5,10,12,3,1,7]
[7,1,3,9,4,10,5,12,11,8,2,6]=>[6,2,8,11,12,5,10,4,9,3,1,7]
[7,1,3,9,4,12,10,5,11,8,2,6]=>[6,2,8,11,5,10,12,4,9,3,1,7]
[7,1,3,12,9,4,10,5,11,8,2,6]=>[6,2,8,11,5,10,4,9,12,3,1,7]
[9,4,10,5,12,11,7,1,3,8,2,6]=>[6,2,8,3,1,7,11,12,5,10,4,9]
[9,4,12,10,5,11,7,1,3,8,2,6]=>[6,2,8,3,1,7,11,5,10,12,4,9]
[12,9,4,10,5,11,7,1,3,8,2,6]=>[6,2,8,3,1,7,11,5,10,4,9,12]
[11,7,1,3,9,4,10,5,12,8,2,6]=>[6,2,8,12,5,10,4,9,3,1,7,11]
[8,2,7,1,3,9,4,10,5,12,11,6]=>[6,11,12,5,10,4,9,3,1,7,2,8]
[8,2,7,1,3,9,4,12,10,5,11,6]=>[6,11,5,10,12,4,9,3,1,7,2,8]
[8,2,7,1,3,12,9,4,10,5,11,6]=>[6,11,5,10,4,9,12,3,1,7,2,8]
[12,8,2,7,1,3,9,4,10,5,11,6]=>[6,11,5,10,4,9,3,1,7,2,8,12]
[8,2,12,7,1,3,9,4,10,5,11,6]=>[6,11,5,10,4,9,3,1,7,12,2,8]
[10,7,1,4,8,2,5,12,11,9,3,6]=>[6,3,9,11,12,5,2,8,4,1,7,10]
[12,10,7,1,4,8,2,5,11,9,3,6]=>[6,3,9,11,5,2,8,4,1,7,10,12]
[12,11,8,2,5,10,7,1,4,9,3,6]=>[6,3,9,4,1,7,10,5,2,8,11,12]
[11,8,2,5,12,10,7,1,4,9,3,6]=>[6,3,9,4,1,7,10,12,5,2,8,11]
[10,7,1,4,11,8,2,5,12,9,3,6]=>[6,3,9,12,5,2,8,11,4,1,7,10]
[12,11,9,3,7,1,4,8,2,5,10,6]=>[6,10,5,2,8,4,1,7,3,9,11,12]
[11,9,3,7,1,4,8,2,5,12,10,6]=>[6,10,12,5,2,8,4,1,7,3,9,11]
[9,3,7,1,4,12,11,8,2,5,10,6]=>[6,10,5,2,8,11,12,4,1,7,3,9]
[9,3,7,1,4,11,8,2,5,12,10,6]=>[6,10,12,5,2,8,11,4,1,7,3,9]
[11,8,2,5,12,9,3,7,1,4,10,6]=>[6,10,4,1,7,3,9,12,5,2,8,11]
[12,11,7,1,4,9,3,8,2,5,10,6]=>[6,10,5,2,8,3,9,4,1,7,11,12]
[11,7,1,4,9,3,8,2,5,12,10,6]=>[6,10,12,5,2,8,3,9,4,1,7,11]
[12,9,3,8,2,5,11,7,1,4,10,6]=>[6,10,4,1,7,11,5,2,8,3,9,12]
[9,3,12,8,2,5,11,7,1,4,10,6]=>[6,10,4,1,7,11,5,2,8,12,3,9]
[10,5,12,11,9,3,7,1,4,8,2,6]=>[6,2,8,4,1,7,3,9,11,12,5,10]
[12,10,5,11,9,3,7,1,4,8,2,6]=>[6,2,8,4,1,7,3,9,11,5,10,12]
[9,3,7,1,4,10,5,12,11,8,2,6]=>[6,2,8,11,12,5,10,4,1,7,3,9]
[9,3,7,1,4,12,10,5,11,8,2,6]=>[6,2,8,11,5,10,12,4,1,7,3,9]
[12,9,3,7,1,4,10,5,11,8,2,6]=>[6,2,8,11,5,10,4,1,7,3,9,12]
[10,5,12,11,7,1,4,9,3,8,2,6]=>[6,2,8,3,9,4,1,7,11,12,5,10]
[12,10,5,11,7,1,4,9,3,8,2,6]=>[6,2,8,3,9,4,1,7,11,5,10,12]
[11,7,1,4,10,5,12,9,3,8,2,6]=>[6,2,8,3,9,12,5,10,4,1,7,11]
[9,3,11,7,1,4,10,5,12,8,2,6]=>[6,2,8,12,5,10,4,1,7,11,3,9]
[9,3,8,2,7,1,4,10,5,12,11,6]=>[6,11,12,5,10,4,1,7,2,8,3,9]
[9,3,8,2,7,1,4,12,10,5,11,6]=>[6,11,5,10,12,4,1,7,2,8,3,9]
[12,9,3,8,2,7,1,4,10,5,11,6]=>[6,11,5,10,4,1,7,2,8,3,9,12]
[9,3,12,8,2,7,1,4,10,5,11,6]=>[6,11,5,10,4,1,7,2,8,12,3,9]
[8,2,9,3,12,7,1,4,10,5,11,6]=>[6,11,5,10,4,1,7,12,3,9,2,8]
[12,11,9,3,7,1,5,10,4,8,2,6]=>[6,2,8,4,10,5,1,7,3,9,11,12]
[11,9,3,7,1,5,12,10,4,8,2,6]=>[6,2,8,4,10,12,5,1,7,3,9,11]
[10,4,9,3,7,1,5,12,11,8,2,6]=>[6,2,8,11,12,5,1,7,3,9,4,10]
[12,10,4,9,3,7,1,5,11,8,2,6]=>[6,2,8,11,5,1,7,3,9,4,10,12]
[10,4,12,9,3,7,1,5,11,8,2,6]=>[6,2,8,11,5,1,7,3,9,12,4,10]
[12,11,7,1,5,10,4,9,3,8,2,6]=>[6,2,8,3,9,4,10,5,1,7,11,12]
[11,7,1,5,12,10,4,9,3,8,2,6]=>[6,2,8,3,9,4,10,12,5,1,7,11]
[10,4,11,7,1,5,12,9,3,8,2,6]=>[6,2,8,3,9,12,5,1,7,11,4,10]
[9,3,10,4,11,7,1,5,12,8,2,6]=>[6,2,8,12,5,1,7,11,4,10,3,9]
[10,4,9,3,8,2,7,1,5,12,11,6]=>[6,11,12,5,1,7,2,8,3,9,4,10]
[12,10,4,9,3,8,2,7,1,5,11,6]=>[6,11,5,1,7,2,8,3,9,4,10,12]
[10,4,12,9,3,8,2,7,1,5,11,6]=>[6,11,5,1,7,2,8,3,9,12,4,10]
[9,3,10,4,12,8,2,7,1,5,11,6]=>[6,11,5,1,7,2,8,12,4,10,3,9]
[8,2,9,3,10,4,12,7,1,5,11,6]=>[6,11,5,1,7,12,4,10,3,9,2,8]
[12,11,5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5,11,12]
[11,5,12,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,12,5,11]
[10,4,11,5,12,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,12,5,11,4,10]
[9,3,10,4,11,5,12,8,2,7,1,6]=>[6,1,7,2,8,12,5,11,4,10,3,9]
[8,2,9,3,10,4,11,5,12,7,1,6]=>[6,1,7,12,5,11,4,10,3,9,2,8]
[8,7,9,6,10,5,11,4,12,3,2,1]=>[1,2,3,12,4,11,5,10,6,9,7,8]
[8,7,9,6,10,5,11,4,3,2,12,1]=>[1,12,2,3,4,11,5,10,6,9,7,8]
[8,7,9,6,10,5,12,4,2,11,3,1]=>[1,3,11,2,4,12,5,10,6,9,7,8]
[9,8,10,7,11,6,12,5,4,3,2,1]=>[1,2,3,4,5,12,6,11,7,10,8,9]
[8,7,9,6,10,5,4,3,11,2,12,1]=>[1,12,2,11,3,4,5,10,6,9,7,8]
[9,8,10,7,11,6,5,4,12,3,2,1]=>[1,2,3,12,4,5,6,11,7,10,8,9]
[8,7,9,6,11,5,3,10,4,2,12,1]=>[1,12,2,4,10,3,5,11,6,9,7,8]
[8,7,9,6,12,5,3,10,2,11,4,1]=>[1,4,11,2,10,3,5,12,6,9,7,8]
[9,8,10,7,12,6,4,11,5,3,2,1]=>[1,2,3,5,11,4,6,12,7,10,8,9]
[9,8,10,7,11,6,5,4,3,2,12,1]=>[1,12,2,3,4,5,6,11,7,10,8,9]
[9,8,10,7,12,6,5,4,2,11,3,1]=>[1,3,11,2,4,5,6,12,7,10,8,9]
[9,8,10,7,12,11,5,2,6,4,3,1]=>[1,3,4,6,2,5,11,12,7,10,8,9]
[10,9,11,8,12,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,12,8,11,9,10]
[8,7,9,6,5,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,5,6,9,7,8]
[9,8,10,7,6,5,11,4,12,3,2,1]=>[1,2,3,12,4,11,5,6,7,10,8,9]
[9,8,10,7,6,5,11,4,3,2,12,1]=>[1,12,2,3,4,11,5,6,7,10,8,9]
[9,8,10,7,6,5,12,4,2,11,3,1]=>[1,3,11,2,4,12,5,6,7,10,8,9]
[10,9,11,8,7,6,12,5,4,3,2,1]=>[1,2,3,4,5,12,6,7,8,11,9,10]
[8,7,10,6,4,9,5,3,11,2,12,1]=>[1,12,2,11,3,5,9,4,6,10,7,8]
[9,8,11,7,5,10,6,4,12,3,2,1]=>[1,2,3,12,4,6,10,5,7,11,8,9]
[8,7,11,6,4,9,3,10,5,2,12,1]=>[1,12,2,5,10,3,9,4,6,11,7,8]
[8,7,12,6,4,9,3,10,2,11,5,1]=>[1,5,11,2,10,3,9,4,6,12,7,8]
[9,8,12,7,5,10,4,11,6,3,2,1]=>[1,2,3,6,11,4,10,5,7,12,8,9]
[9,8,11,7,5,10,6,4,3,2,12,1]=>[1,12,2,3,4,6,10,5,7,11,8,9]
[9,8,12,7,5,10,6,4,2,11,3,1]=>[1,3,11,2,4,6,10,5,7,12,8,9]
[9,8,12,7,5,11,6,2,10,4,3,1]=>[1,3,4,10,2,6,11,5,7,12,8,9]
[10,9,12,8,6,11,7,5,4,3,2,1]=>[1,2,3,4,5,7,11,6,8,12,9,10]
[9,8,10,7,6,5,4,3,11,2,12,1]=>[1,12,2,11,3,4,5,6,7,10,8,9]
[10,9,11,8,7,6,5,4,12,3,2,1]=>[1,2,3,12,4,5,6,7,8,11,9,10]
[9,8,11,7,6,5,3,10,4,2,12,1]=>[1,12,2,4,10,3,5,6,7,11,8,9]
[9,8,12,7,6,5,3,10,2,11,4,1]=>[1,4,11,2,10,3,5,6,7,12,8,9]
[10,9,12,8,7,6,4,11,5,3,2,1]=>[1,2,3,5,11,4,6,7,8,12,9,10]
[9,8,11,10,6,3,7,5,4,2,12,1]=>[1,12,2,4,5,7,3,6,10,11,8,9]
[9,8,12,10,6,3,7,5,2,11,4,1]=>[1,4,11,2,5,7,3,6,10,12,8,9]
[9,8,12,11,6,3,7,2,10,5,4,1]=>[1,4,5,10,2,7,3,6,11,12,8,9]
[10,9,12,11,7,4,8,6,5,3,2,1]=>[1,2,3,5,6,8,4,7,11,12,9,10]
[10,9,11,8,7,6,5,4,3,2,12,1]=>[1,12,2,3,4,5,6,7,8,11,9,10]
[10,9,12,8,7,6,5,4,2,11,3,1]=>[1,3,11,2,4,5,6,7,8,12,9,10]
[10,9,12,11,7,6,5,2,8,4,3,1]=>[1,3,4,8,2,5,6,7,11,12,9,10]
[10,9,12,11,8,6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6,8,11,12,9,10]
[11,10,12,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,12,10,11]
[8,7,6,5,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,5,6,7,8]
[9,8,7,6,10,5,11,4,12,3,2,1]=>[1,2,3,12,4,11,5,10,6,7,8,9]
[9,8,7,6,10,5,11,4,3,2,12,1]=>[1,12,2,3,4,11,5,10,6,7,8,9]
[9,8,7,6,10,5,12,4,2,11,3,1]=>[1,3,11,2,4,12,5,10,6,7,8,9]
[10,9,8,7,11,6,12,5,4,3,2,1]=>[1,2,3,4,5,12,6,11,7,8,9,10]
[9,8,7,6,10,5,4,3,11,2,12,1]=>[1,12,2,11,3,4,5,10,6,7,8,9]
[10,9,8,7,11,6,5,4,12,3,2,1]=>[1,2,3,12,4,5,6,11,7,8,9,10]
[9,8,7,6,11,5,3,10,4,2,12,1]=>[1,12,2,4,10,3,5,11,6,7,8,9]
[9,8,7,6,12,5,3,10,2,11,4,1]=>[1,4,11,2,10,3,5,12,6,7,8,9]
[10,9,8,7,12,6,4,11,5,3,2,1]=>[1,2,3,5,11,4,6,12,7,8,9,10]
[10,9,8,7,11,6,5,4,3,2,12,1]=>[1,12,2,3,4,5,6,11,7,8,9,10]
[10,9,8,7,12,6,5,4,2,11,3,1]=>[1,3,11,2,4,5,6,12,7,8,9,10]
[10,9,8,7,12,11,5,2,6,4,3,1]=>[1,3,4,6,2,5,11,12,7,8,9,10]
[11,10,9,8,12,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,12,8,9,10,11]
[9,7,5,8,6,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,6,8,5,7,9]
[10,8,6,9,7,5,11,4,12,3,2,1]=>[1,2,3,12,4,11,5,7,9,6,8,10]
[10,8,6,9,7,5,11,4,3,2,12,1]=>[1,12,2,3,4,11,5,7,9,6,8,10]
[10,8,6,9,7,5,12,4,2,11,3,1]=>[1,3,11,2,4,12,5,7,9,6,8,10]
[11,9,7,10,8,6,12,5,4,3,2,1]=>[1,2,3,4,5,12,6,8,10,7,9,11]
[10,7,5,8,4,9,6,3,11,2,12,1]=>[1,12,2,11,3,6,9,4,8,5,7,10]
[11,8,6,9,5,10,7,4,12,3,2,1]=>[1,2,3,12,4,7,10,5,9,6,8,11]
[11,7,5,8,4,9,3,10,6,2,12,1]=>[1,12,2,6,10,3,9,4,8,5,7,11]
[12,7,5,8,4,9,3,10,2,11,6,1]=>[1,6,11,2,10,3,9,4,8,5,7,12]
[12,8,6,9,5,10,4,11,7,3,2,1]=>[1,2,3,7,11,4,10,5,9,6,8,12]
[11,8,6,9,5,10,7,4,3,2,12,1]=>[1,12,2,3,4,7,10,5,9,6,8,11]
[12,8,6,9,5,10,7,4,2,11,3,1]=>[1,3,11,2,4,7,10,5,9,6,8,12]
[12,8,6,9,5,11,7,2,10,4,3,1]=>[1,3,4,10,2,7,11,5,9,6,8,12]
[12,9,7,10,6,11,8,5,4,3,2,1]=>[1,2,3,4,5,8,11,6,10,7,9,12]
[10,8,6,9,7,5,4,3,11,2,12,1]=>[1,12,2,11,3,4,5,7,9,6,8,10]
[11,9,7,10,8,6,5,4,12,3,2,1]=>[1,2,3,12,4,5,6,8,10,7,9,11]
[11,8,6,9,7,5,3,10,4,2,12,1]=>[1,12,2,4,10,3,5,7,9,6,8,11]
[12,8,6,9,7,5,3,10,2,11,4,1]=>[1,4,11,2,10,3,5,7,9,6,8,12]
[12,9,7,10,8,6,4,11,5,3,2,1]=>[1,2,3,5,11,4,6,8,10,7,9,12]
[11,8,6,10,7,3,9,5,4,2,12,1]=>[1,12,2,4,5,9,3,7,10,6,8,11]
[12,8,6,10,7,3,9,5,2,11,4,1]=>[1,4,11,2,5,9,3,7,10,6,8,12]
[12,8,6,11,7,3,9,2,10,5,4,1]=>[1,4,5,10,2,9,3,7,11,6,8,12]
[12,9,7,11,8,4,10,6,5,3,2,1]=>[1,2,3,5,6,10,4,8,11,7,9,12]
[11,9,7,10,8,6,5,4,3,2,12,1]=>[1,12,2,3,4,5,6,8,10,7,9,11]
[12,9,7,10,8,6,5,4,2,11,3,1]=>[1,3,11,2,4,5,6,8,10,7,9,12]
[12,9,7,11,8,6,5,2,10,4,3,1]=>[1,3,4,10,2,5,6,8,11,7,9,12]
[12,9,7,11,10,6,2,8,5,4,3,1]=>[1,3,4,5,8,2,6,10,11,7,9,12]
[12,10,8,11,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,11,8,10,12]
[9,8,7,6,5,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,5,6,7,8,9]
[10,9,8,7,6,5,11,4,12,3,2,1]=>[1,2,3,12,4,11,5,6,7,8,9,10]
[10,9,8,7,6,5,11,4,3,2,12,1]=>[1,12,2,3,4,11,5,6,7,8,9,10]
[10,9,8,7,6,5,12,4,2,11,3,1]=>[1,3,11,2,4,12,5,6,7,8,9,10]
[11,10,9,8,7,6,12,5,4,3,2,1]=>[1,2,3,4,5,12,6,7,8,9,10,11]
[10,8,7,6,4,9,5,3,11,2,12,1]=>[1,12,2,11,3,5,9,4,6,7,8,10]
[11,9,8,7,5,10,6,4,12,3,2,1]=>[1,2,3,12,4,6,10,5,7,8,9,11]
[11,8,7,6,4,9,3,10,5,2,12,1]=>[1,12,2,5,10,3,9,4,6,7,8,11]
[12,8,7,6,4,9,3,10,2,11,5,1]=>[1,5,11,2,10,3,9,4,6,7,8,12]
[12,9,8,7,5,10,4,11,6,3,2,1]=>[1,2,3,6,11,4,10,5,7,8,9,12]
[11,9,8,7,5,10,6,4,3,2,12,1]=>[1,12,2,3,4,6,10,5,7,8,9,11]
[12,9,8,7,5,10,6,4,2,11,3,1]=>[1,3,11,2,4,6,10,5,7,8,9,12]
[12,9,8,7,5,11,6,2,10,4,3,1]=>[1,3,4,10,2,6,11,5,7,8,9,12]
[12,10,9,8,6,11,7,5,4,3,2,1]=>[1,2,3,4,5,7,11,6,8,9,10,12]
[10,9,7,4,8,6,5,3,11,2,12,1]=>[1,12,2,11,3,5,6,8,4,7,9,10]
[11,10,8,5,9,7,6,4,12,3,2,1]=>[1,2,3,12,4,6,7,9,5,8,10,11]
[11,9,7,4,8,6,3,10,5,2,12,1]=>[1,12,2,5,10,3,6,8,4,7,9,11]
[12,9,7,4,8,6,3,10,2,11,5,1]=>[1,5,11,2,10,3,6,8,4,7,9,12]
[12,10,8,5,9,7,4,11,6,3,2,1]=>[1,2,3,6,11,4,7,9,5,8,10,12]
[11,10,7,4,8,3,9,6,5,2,12,1]=>[1,12,2,5,6,9,3,8,4,7,10,11]
[12,10,7,4,8,3,9,6,2,11,5,1]=>[1,5,11,2,6,9,3,8,4,7,10,12]
[12,11,7,4,8,3,9,2,10,6,5,1]=>[1,5,6,10,2,9,3,8,4,7,11,12]
[12,11,8,5,9,4,10,7,6,3,2,1]=>[1,2,3,6,7,10,4,9,5,8,11,12]
[11,10,8,5,9,7,6,4,3,2,12,1]=>[1,12,2,3,4,6,7,9,5,8,10,11]
[12,10,8,5,9,7,6,4,2,11,3,1]=>[1,3,11,2,4,6,7,9,5,8,10,12]
[12,11,8,5,9,7,6,2,10,4,3,1]=>[1,3,4,10,2,6,7,9,5,8,11,12]
[12,11,8,5,10,7,2,9,6,4,3,1]=>[1,3,4,6,9,2,7,10,5,8,11,12]
[12,11,9,6,10,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,10,6,9,11,12]
[10,9,8,7,6,5,4,3,11,2,12,1]=>[1,12,2,11,3,4,5,6,7,8,9,10]
[11,10,9,8,7,6,5,4,12,3,2,1]=>[1,2,3,12,4,5,6,7,8,9,10,11]
[11,9,8,7,6,5,3,10,4,2,12,1]=>[1,12,2,4,10,3,5,6,7,8,9,11]
[12,9,8,7,6,5,3,10,2,11,4,1]=>[1,4,11,2,10,3,5,6,7,8,9,12]
[12,10,9,8,7,6,4,11,5,3,2,1]=>[1,2,3,5,11,4,6,7,8,9,10,12]
[11,10,8,7,6,3,9,5,4,2,12,1]=>[1,12,2,4,5,9,3,6,7,8,10,11]
[12,10,8,7,6,3,9,5,2,11,4,1]=>[1,4,11,2,5,9,3,6,7,8,10,12]
[12,11,8,7,6,3,9,2,10,5,4,1]=>[1,4,5,10,2,9,3,6,7,8,11,12]
[12,11,9,8,7,4,10,6,5,3,2,1]=>[1,2,3,5,6,10,4,7,8,9,11,12]
[11,10,9,7,3,8,6,5,4,2,12,1]=>[1,12,2,4,5,6,8,3,7,9,10,11]
[12,10,9,7,3,8,6,5,2,11,4,1]=>[1,4,11,2,5,6,8,3,7,9,10,12]
[12,11,9,7,3,8,6,2,10,5,4,1]=>[1,4,5,10,2,6,8,3,7,9,11,12]
[12,11,10,7,3,8,2,9,6,5,4,1]=>[1,4,5,6,9,2,8,3,7,10,11,12]
[12,11,10,8,4,9,7,6,5,3,2,1]=>[1,2,3,5,6,7,9,4,8,10,11,12]
[11,10,9,8,7,6,5,4,3,2,12,1]=>[1,12,2,3,4,5,6,7,8,9,10,11]
[12,10,9,8,7,6,5,4,2,11,3,1]=>[1,3,11,2,4,5,6,7,8,9,10,12]
[12,11,9,8,7,6,5,2,10,4,3,1]=>[1,3,4,10,2,5,6,7,8,9,11,12]
[12,11,10,8,7,6,2,9,5,4,3,1]=>[1,3,4,5,9,2,6,7,8,10,11,12]
[12,11,10,9,7,2,8,6,5,4,3,1]=>[1,3,4,5,6,8,2,7,9,10,11,12]
[2,3,5,6,8,9,1,11,4,7,12,10]=>[10,12,7,4,11,1,9,8,6,5,3,2]
[2,3,5,6,8,1,9,11,4,12,7,10]=>[10,7,12,4,11,9,1,8,6,5,3,2]
[2,3,5,6,8,1,9,4,7,10,12,11]=>[11,12,10,7,4,9,1,8,6,5,3,2]
[2,3,5,6,1,8,9,10,4,12,7,11]=>[11,7,12,4,10,9,8,1,6,5,3,2]
[2,3,5,6,1,8,9,4,10,11,7,12]=>[12,7,11,10,4,9,8,1,6,5,3,2]
[2,3,5,6,9,1,11,4,7,12,8,10]=>[10,8,12,7,4,11,1,9,6,5,3,2]
[2,3,5,6,1,9,11,4,12,7,8,10]=>[10,8,7,12,4,11,9,1,6,5,3,2]
[2,3,5,6,1,9,4,7,8,10,12,11]=>[11,12,10,8,7,4,9,1,6,5,3,2]
[2,3,5,6,1,10,4,7,8,12,9,11]=>[11,9,12,8,7,4,10,1,6,5,3,2]
[2,3,5,1,6,7,9,10,4,12,8,11]=>[11,8,12,4,10,9,7,6,1,5,3,2]
[2,3,5,1,6,7,9,4,10,11,8,12]=>[12,8,11,10,4,9,7,6,1,5,3,2]
[2,3,5,1,6,7,10,4,12,8,9,11]=>[11,9,8,12,4,10,7,6,1,5,3,2]
[2,3,5,1,6,7,4,8,10,11,9,12]=>[12,9,11,10,8,4,7,6,1,5,3,2]
[2,3,5,1,6,7,4,8,11,9,10,12]=>[12,10,9,11,8,4,7,6,1,5,3,2]
[2,3,6,8,9,1,10,4,5,12,7,11]=>[11,7,12,5,4,10,1,9,8,6,3,2]
[2,3,6,8,1,9,10,4,12,5,7,11]=>[11,7,5,12,4,10,9,1,8,6,3,2]
[2,3,6,8,1,9,4,5,10,11,7,12]=>[12,7,11,10,5,4,9,1,8,6,3,2]
[2,3,6,1,8,9,10,4,11,5,7,12]=>[12,7,5,11,4,10,9,8,1,6,3,2]
[2,3,6,1,8,9,4,10,11,5,12,7]=>[7,12,5,11,10,4,9,8,1,6,3,2]
[2,3,6,9,1,11,4,5,12,7,8,10]=>[10,8,7,12,5,4,11,1,9,6,3,2]
[2,3,6,1,9,11,4,12,5,7,8,10]=>[10,8,7,5,12,4,11,9,1,6,3,2]
[2,3,7,9,1,10,4,5,12,6,8,11]=>[11,8,6,12,5,4,10,1,9,7,3,2]
[2,3,7,1,9,10,4,12,5,6,8,11]=>[11,8,6,5,12,4,10,9,1,7,3,2]
[2,3,6,1,9,4,5,7,8,10,12,11]=>[11,12,10,8,7,5,4,9,1,6,3,2]
[2,3,6,1,10,4,5,7,8,12,9,11]=>[11,9,12,8,7,5,4,10,1,6,3,2]
[2,3,7,1,9,4,5,6,10,11,8,12]=>[12,8,11,10,6,5,4,9,1,7,3,2]
[2,3,7,1,10,4,5,6,12,8,9,11]=>[11,9,8,12,6,5,4,10,1,7,3,2]
[2,3,8,1,10,4,5,6,11,7,9,12]=>[12,9,7,11,6,5,4,10,1,8,3,2]
[2,3,1,4,6,7,9,10,5,12,8,11]=>[11,8,12,5,10,9,7,6,4,1,3,2]
[2,3,1,4,6,7,9,5,10,11,8,12]=>[12,8,11,10,5,9,7,6,4,1,3,2]
[2,3,1,4,6,7,10,5,12,8,9,11]=>[11,9,8,12,5,10,7,6,4,1,3,2]
[2,3,1,4,6,7,5,8,10,11,9,12]=>[12,9,11,10,8,5,7,6,4,1,3,2]
[2,3,1,4,6,7,5,8,11,9,10,12]=>[12,10,9,11,8,5,7,6,4,1,3,2]
[2,3,1,4,7,9,10,5,11,6,8,12]=>[12,8,6,11,5,10,9,7,4,1,3,2]
[2,3,1,4,7,9,5,10,11,6,12,8]=>[8,12,6,11,10,5,9,7,4,1,3,2]
[2,3,1,4,7,10,5,12,6,8,9,11]=>[11,9,8,6,12,5,10,7,4,1,3,2]
[2,3,1,4,8,10,5,11,6,7,9,12]=>[12,9,7,6,11,5,10,8,4,1,3,2]
[2,3,1,4,7,5,6,8,10,11,9,12]=>[12,9,11,10,8,6,5,7,4,1,3,2]
[2,3,1,4,7,5,6,8,11,9,10,12]=>[12,10,9,11,8,6,5,7,4,1,3,2]
[2,3,1,4,8,5,6,10,11,7,12,9]=>[9,12,7,11,10,6,5,8,4,1,3,2]
[2,3,1,4,8,5,6,11,7,9,10,12]=>[12,10,9,7,11,6,5,8,4,1,3,2]
[2,3,1,4,9,5,6,11,7,8,12,10]=>[10,12,8,7,11,6,5,9,4,1,3,2]
[3,5,6,7,9,1,10,2,4,12,8,11]=>[11,8,12,4,2,10,1,9,7,6,5,3]
[3,5,6,7,1,9,10,2,12,4,8,11]=>[11,8,4,12,2,10,9,1,7,6,5,3]
[3,5,6,7,1,9,2,4,10,11,8,12]=>[12,8,11,10,4,2,9,1,7,6,5,3]
[3,5,6,1,7,9,10,2,11,4,8,12]=>[12,8,4,11,2,10,9,7,1,6,5,3]
[3,5,6,1,7,9,2,10,11,4,12,8]=>[8,12,4,11,10,2,9,7,1,6,5,3]
[3,5,6,7,1,10,2,4,12,8,9,11]=>[11,9,8,12,4,2,10,1,7,6,5,3]
[3,5,6,1,7,10,2,12,4,8,9,11]=>[11,9,8,4,12,2,10,7,1,6,5,3]
[3,5,6,1,7,2,4,8,10,11,9,12]=>[12,9,11,10,8,4,2,7,1,6,5,3]
[3,5,6,1,7,2,4,8,11,9,10,12]=>[12,10,9,11,8,4,2,7,1,6,5,3]
[3,5,1,6,7,8,10,2,11,4,9,12]=>[12,9,4,11,2,10,8,7,6,1,5,3]
[3,5,1,6,7,8,2,10,11,4,12,9]=>[9,12,4,11,10,2,8,7,6,1,5,3]
[3,5,1,6,7,8,2,11,4,9,10,12]=>[12,10,9,4,11,2,8,7,6,1,5,3]
[3,5,1,6,7,2,8,9,11,4,12,10]=>[10,12,4,11,9,8,2,7,6,1,5,3]
[3,5,1,6,7,2,8,9,4,10,12,11]=>[11,12,10,4,9,8,2,7,6,1,5,3]
[3,6,8,9,1,10,2,4,11,5,7,12]=>[12,7,5,11,4,2,10,1,9,8,6,3]
[3,6,8,1,9,10,2,11,4,5,7,12]=>[12,7,5,4,11,2,10,9,1,8,6,3]
[3,6,8,1,9,2,4,10,11,5,12,7]=>[7,12,5,11,10,4,2,9,1,8,6,3]
[3,6,1,8,9,10,2,11,4,5,12,7]=>[7,12,5,4,11,2,10,9,8,1,6,3]
[3,6,1,8,9,2,10,11,4,12,5,7]=>[7,5,12,4,11,10,2,9,8,1,6,3]
[4,6,7,9,1,10,2,3,11,5,8,12]=>[12,8,5,11,3,2,10,1,9,7,6,4]
[4,6,7,1,9,10,2,11,3,5,8,12]=>[12,8,5,3,11,2,10,9,1,7,6,4]
[4,6,7,1,9,2,3,10,11,5,12,8]=>[8,12,5,11,10,3,2,9,1,7,6,4]
[4,6,1,7,9,10,2,11,3,5,12,8]=>[8,12,5,3,11,2,10,9,7,1,6,4]
[4,6,1,7,9,2,10,11,3,12,5,8]=>[8,5,12,3,11,10,2,9,7,1,6,4]
[3,6,9,1,11,2,4,12,5,7,8,10]=>[10,8,7,5,12,4,2,11,1,9,6,3]
[3,6,1,9,11,2,12,4,5,7,8,10]=>[10,8,7,5,4,12,2,11,9,1,6,3]
[3,7,9,1,10,2,4,12,5,6,8,11]=>[11,8,6,5,12,4,2,10,1,9,7,3]
[3,7,1,9,10,2,12,4,5,6,8,11]=>[11,8,6,5,4,12,2,10,9,1,7,3]
[4,6,7,1,10,2,3,12,5,8,9,11]=>[11,9,8,5,12,3,2,10,1,7,6,4]
[4,6,1,7,10,2,12,3,5,8,9,11]=>[11,9,8,5,3,12,2,10,7,1,6,4]
[4,7,9,1,10,2,3,11,5,6,8,12]=>[12,8,6,5,11,3,2,10,1,9,7,4]
[4,7,1,9,10,2,11,3,5,6,8,12]=>[12,8,6,5,3,11,2,10,9,1,7,4]
[5,7,8,1,10,2,3,11,4,6,9,12]=>[12,9,6,4,11,3,2,10,1,8,7,5]
[5,7,1,8,10,2,11,3,4,6,9,12]=>[12,9,6,4,3,11,2,10,8,1,7,5]
[3,6,1,9,2,4,5,7,8,10,12,11]=>[11,12,10,8,7,5,4,2,9,1,6,3]
[3,6,1,10,2,4,5,7,8,12,9,11]=>[11,9,12,8,7,5,4,2,10,1,6,3]
[3,7,1,9,2,4,5,6,10,11,8,12]=>[12,8,11,10,6,5,4,2,9,1,7,3]
[3,7,1,10,2,4,5,6,12,8,9,11]=>[11,9,8,12,6,5,4,2,10,1,7,3]
[3,8,1,10,2,4,5,6,11,7,9,12]=>[12,9,7,11,6,5,4,2,10,1,8,3]
[4,6,1,7,2,3,5,8,10,11,9,12]=>[12,9,11,10,8,5,3,2,7,1,6,4]
[4,6,1,7,2,3,5,8,11,9,10,12]=>[12,10,9,11,8,5,3,2,7,1,6,4]
[4,7,1,9,2,3,5,10,11,6,12,8]=>[8,12,6,11,10,5,3,2,9,1,7,4]
[5,7,1,8,2,3,4,10,11,6,12,9]=>[9,12,6,11,10,4,3,2,8,1,7,5]
[4,7,1,10,2,3,5,12,6,8,9,11]=>[11,9,8,6,12,5,3,2,10,1,7,4]
[4,8,1,10,2,3,5,11,6,7,9,12]=>[12,9,7,6,11,5,3,2,10,1,8,4]
[5,7,1,8,2,3,4,11,6,9,10,12]=>[12,10,9,6,11,4,3,2,8,1,7,5]
[5,8,1,10,2,3,4,11,6,7,12,9]=>[9,12,7,6,11,4,3,2,10,1,8,5]
[6,8,1,9,2,3,4,11,5,7,12,10]=>[10,12,7,5,11,4,3,2,9,1,8,6]
[3,1,2,4,6,7,9,10,5,12,8,11]=>[11,8,12,5,10,9,7,6,4,2,1,3]
[3,1,2,4,6,7,9,5,10,11,8,12]=>[12,8,11,10,5,9,7,6,4,2,1,3]
[3,1,2,4,6,7,10,5,12,8,9,11]=>[11,9,8,12,5,10,7,6,4,2,1,3]
[3,1,2,4,6,7,5,8,10,11,9,12]=>[12,9,11,10,8,5,7,6,4,2,1,3]
[3,1,2,4,6,7,5,8,11,9,10,12]=>[12,10,9,11,8,5,7,6,4,2,1,3]
[3,1,2,4,7,9,10,5,11,6,8,12]=>[12,8,6,11,5,10,9,7,4,2,1,3]
[3,1,2,4,7,9,5,10,11,6,12,8]=>[8,12,6,11,10,5,9,7,4,2,1,3]
[3,1,2,4,7,10,5,12,6,8,9,11]=>[11,9,8,6,12,5,10,7,4,2,1,3]
[3,1,2,4,8,10,5,11,6,7,9,12]=>[12,9,7,6,11,5,10,8,4,2,1,3]
[3,1,2,4,7,5,6,8,10,11,9,12]=>[12,9,11,10,8,6,5,7,4,2,1,3]
[3,1,2,4,7,5,6,8,11,9,10,12]=>[12,10,9,11,8,6,5,7,4,2,1,3]
[3,1,2,4,8,5,6,10,11,7,12,9]=>[9,12,7,11,10,6,5,8,4,2,1,3]
[3,1,2,4,8,5,6,11,7,9,10,12]=>[12,10,9,7,11,6,5,8,4,2,1,3]
[3,1,2,4,9,5,6,11,7,8,12,10]=>[10,12,8,7,11,6,5,9,4,2,1,3]
[4,1,2,6,7,8,10,3,11,5,9,12]=>[12,9,5,11,3,10,8,7,6,2,1,4]
[4,1,2,6,7,8,3,10,11,5,12,9]=>[9,12,5,11,10,3,8,7,6,2,1,4]
[4,1,2,6,7,8,3,11,5,9,10,12]=>[12,10,9,5,11,3,8,7,6,2,1,4]
[4,1,2,6,7,3,8,9,11,5,12,10]=>[10,12,5,11,9,8,3,7,6,2,1,4]
[4,1,2,6,7,3,8,9,5,10,12,11]=>[11,12,10,5,9,8,3,7,6,2,1,4]
[4,1,2,7,9,10,3,11,5,6,12,8]=>[8,12,6,5,11,3,10,9,7,2,1,4]
[4,1,2,7,9,3,10,11,5,12,6,8]=>[8,6,12,5,11,10,3,9,7,2,1,4]
[5,1,2,7,8,10,3,11,4,6,12,9]=>[9,12,6,4,11,3,10,8,7,2,1,5]
[5,1,2,7,8,3,10,11,4,12,6,9]=>[9,6,12,4,11,10,3,8,7,2,1,5]
[4,1,2,7,10,3,12,5,6,8,9,11]=>[11,9,8,6,5,12,3,10,7,2,1,4]
[4,1,2,8,10,3,11,5,6,7,9,12]=>[12,9,7,6,5,11,3,10,8,2,1,4]
[5,1,2,7,8,3,11,4,6,9,10,12]=>[12,10,9,6,4,11,3,8,7,2,1,5]
[5,1,2,8,10,3,11,4,6,7,12,9]=>[9,12,7,6,4,11,3,10,8,2,1,5]
[6,1,2,8,9,3,11,4,5,7,12,10]=>[10,12,7,5,4,11,3,9,8,2,1,6]
[4,1,2,7,3,5,6,8,10,11,9,12]=>[12,9,11,10,8,6,5,3,7,2,1,4]
[4,1,2,7,3,5,6,8,11,9,10,12]=>[12,10,9,11,8,6,5,3,7,2,1,4]
[4,1,2,8,3,5,6,10,11,7,12,9]=>[9,12,7,11,10,6,5,3,8,2,1,4]
[4,1,2,8,3,5,6,11,7,9,10,12]=>[12,10,9,7,11,6,5,3,8,2,1,4]
[4,1,2,9,3,5,6,11,7,8,12,10]=>[10,12,8,7,11,6,5,3,9,2,1,4]
[5,1,2,7,3,4,8,9,11,6,12,10]=>[10,12,6,11,9,8,4,3,7,2,1,5]
[5,1,2,7,3,4,8,9,6,10,12,11]=>[11,12,10,6,9,8,4,3,7,2,1,5]
[5,1,2,8,3,4,10,11,6,12,7,9]=>[9,7,12,6,11,10,4,3,8,2,1,5]
[6,1,2,8,3,4,9,11,5,12,7,10]=>[10,7,12,5,11,9,4,3,8,2,1,6]
[5,1,2,8,3,4,11,6,7,9,10,12]=>[12,10,9,7,6,11,4,3,8,2,1,5]
[5,1,2,9,3,4,11,6,7,8,12,10]=>[10,12,8,7,6,11,4,3,9,2,1,5]
[6,1,2,8,3,4,9,5,7,10,12,11]=>[11,12,10,7,5,9,4,3,8,2,1,6]
[6,1,2,9,3,4,11,5,7,12,8,10]=>[10,8,12,7,5,11,4,3,9,2,1,6]
[7,1,2,9,3,4,10,5,6,12,8,11]=>[11,8,12,6,5,10,4,3,9,2,1,7]
[3,4,1,5,6,7,8,9,10,11,12,2]=>[2,12,11,10,9,8,7,6,5,1,4,3]
[8,2,9,3,10,4,11,5,12,6,1,7]=>[7,1,6,12,5,11,4,10,3,9,2,8]
[8,2,9,3,10,4,11,12,5,6,1,7]=>[7,1,6,5,12,11,4,10,3,9,2,8]
[8,2,9,3,10,11,4,5,12,6,1,7]=>[7,1,6,12,5,4,11,10,3,9,2,8]
[8,2,9,3,10,11,4,12,5,6,1,7]=>[7,1,6,5,12,4,11,10,3,9,2,8]
[8,2,9,3,10,11,12,4,5,6,1,7]=>[7,1,6,5,4,12,11,10,3,9,2,8]
[8,2,9,10,3,4,11,5,12,6,1,7]=>[7,1,6,12,5,11,4,3,10,9,2,8]
[8,2,9,10,3,4,11,12,5,6,1,7]=>[7,1,6,5,12,11,4,3,10,9,2,8]
[8,2,9,10,3,11,4,5,12,6,1,7]=>[7,1,6,12,5,4,11,3,10,9,2,8]
[8,2,9,10,3,11,4,12,5,6,1,7]=>[7,1,6,5,12,4,11,3,10,9,2,8]
[8,2,9,10,3,11,12,4,5,6,1,7]=>[7,1,6,5,4,12,11,3,10,9,2,8]
[8,2,9,10,11,3,4,5,12,6,1,7]=>[7,1,6,12,5,4,3,11,10,9,2,8]
[8,2,9,10,11,3,4,12,5,6,1,7]=>[7,1,6,5,12,4,3,11,10,9,2,8]
[8,2,9,10,11,3,12,4,5,6,1,7]=>[7,1,6,5,4,12,3,11,10,9,2,8]
[8,2,9,10,11,12,3,4,5,6,1,7]=>[7,1,6,5,4,3,12,11,10,9,2,8]
[8,9,2,3,10,4,11,5,12,6,1,7]=>[7,1,6,12,5,11,4,10,3,2,9,8]
[8,9,2,3,10,4,11,12,5,6,1,7]=>[7,1,6,5,12,11,4,10,3,2,9,8]
[8,9,2,3,10,11,4,5,12,6,1,7]=>[7,1,6,12,5,4,11,10,3,2,9,8]
[8,9,2,3,10,11,4,12,5,6,1,7]=>[7,1,6,5,12,4,11,10,3,2,9,8]
[8,9,2,3,10,11,12,4,5,6,1,7]=>[7,1,6,5,4,12,11,10,3,2,9,8]
[8,9,2,10,3,4,11,5,12,6,1,7]=>[7,1,6,12,5,11,4,3,10,2,9,8]
[8,9,2,10,3,4,11,12,5,6,1,7]=>[7,1,6,5,12,11,4,3,10,2,9,8]
[8,9,2,10,3,11,4,5,12,6,1,7]=>[7,1,6,12,5,4,11,3,10,2,9,8]
[8,9,2,10,3,11,4,12,5,6,1,7]=>[7,1,6,5,12,4,11,3,10,2,9,8]
[8,9,2,10,3,11,12,4,5,6,1,7]=>[7,1,6,5,4,12,11,3,10,2,9,8]
[8,9,2,10,11,3,4,5,12,6,1,7]=>[7,1,6,12,5,4,3,11,10,2,9,8]
[8,9,2,10,11,3,4,12,5,6,1,7]=>[7,1,6,5,12,4,3,11,10,2,9,8]
[8,9,2,10,11,3,12,4,5,6,1,7]=>[7,1,6,5,4,12,3,11,10,2,9,8]
[8,9,2,10,11,12,3,4,5,6,1,7]=>[7,1,6,5,4,3,12,11,10,2,9,8]
[8,9,10,2,3,4,11,5,12,6,1,7]=>[7,1,6,12,5,11,4,3,2,10,9,8]
[8,9,10,2,3,4,11,12,5,6,1,7]=>[7,1,6,5,12,11,4,3,2,10,9,8]
[8,9,10,2,3,11,4,5,12,6,1,7]=>[7,1,6,12,5,4,11,3,2,10,9,8]
[8,9,10,2,3,11,4,12,5,6,1,7]=>[7,1,6,5,12,4,11,3,2,10,9,8]
[8,9,10,2,3,11,12,4,5,6,1,7]=>[7,1,6,5,4,12,11,3,2,10,9,8]
[8,9,10,2,11,3,4,5,12,6,1,7]=>[7,1,6,12,5,4,3,11,2,10,9,8]
[8,9,10,2,11,3,4,12,5,6,1,7]=>[7,1,6,5,12,4,3,11,2,10,9,8]
[8,9,10,2,11,3,12,4,5,6,1,7]=>[7,1,6,5,4,12,3,11,2,10,9,8]
[8,9,10,2,11,12,3,4,5,6,1,7]=>[7,1,6,5,4,3,12,11,2,10,9,8]
[8,9,10,11,2,3,4,5,12,6,1,7]=>[7,1,6,12,5,4,3,2,11,10,9,8]
[8,9,10,11,2,3,4,12,5,6,1,7]=>[7,1,6,5,12,4,3,2,11,10,9,8]
[8,9,10,11,2,3,12,4,5,6,1,7]=>[7,1,6,5,4,12,3,2,11,10,9,8]
[8,9,10,11,2,12,3,4,5,6,1,7]=>[7,1,6,5,4,3,12,2,11,10,9,8]
[8,9,10,11,12,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,12,11,10,9,8]
[1,2,3,4,5,6,7,10,8,9,11,12]=>[12,11,9,8,10,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,12,8,9,10,11]=>[11,10,9,8,12,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,12,8,11,9,10]=>[10,9,11,8,12,7,6,5,4,3,2,1]
[1,2,3,4,5,8,6,7,9,10,11,12]=>[12,11,10,9,7,6,8,5,4,3,2,1]
[1,2,3,4,5,8,6,7,9,12,10,11]=>[11,10,12,9,7,6,8,5,4,3,2,1]
[1,2,3,4,5,10,6,7,8,9,11,12]=>[12,11,9,8,7,6,10,5,4,3,2,1]
[1,2,3,4,5,12,6,7,8,9,10,11]=>[11,10,9,8,7,6,12,5,4,3,2,1]
[1,2,3,4,5,12,6,7,8,11,9,10]=>[10,9,11,8,7,6,12,5,4,3,2,1]
[1,2,3,4,5,10,6,9,7,8,11,12]=>[12,11,8,7,9,6,10,5,4,3,2,1]
[1,2,3,4,5,12,6,9,7,8,10,11]=>[11,10,8,7,9,6,12,5,4,3,2,1]
[1,2,3,4,5,12,6,11,7,8,9,10]=>[10,9,8,7,11,6,12,5,4,3,2,1]
[1,2,3,4,5,12,6,11,7,10,8,9]=>[9,8,10,7,11,6,12,5,4,3,2,1]
[1,2,3,6,4,5,7,8,9,10,11,12]=>[12,11,10,9,8,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,8,9,12,10,11]=>[11,10,12,9,8,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,10,8,9,11,12]=>[12,11,9,8,10,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,12,8,9,10,11]=>[11,10,9,8,12,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,12,8,11,9,10]=>[10,9,11,8,12,7,5,4,6,3,2,1]
[1,2,3,8,4,5,6,7,9,10,11,12]=>[12,11,10,9,7,6,5,4,8,3,2,1]
[1,2,3,8,4,5,6,7,9,12,10,11]=>[11,10,12,9,7,6,5,4,8,3,2,1]
[1,2,3,10,4,5,6,7,8,9,11,12]=>[12,11,9,8,7,6,5,4,10,3,2,1]
[1,2,3,12,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,12,3,2,1]
[1,2,3,12,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,12,3,2,1]
[1,2,3,10,4,5,6,9,7,8,11,12]=>[12,11,8,7,9,6,5,4,10,3,2,1]
[1,2,3,12,4,5,6,9,7,8,10,11]=>[11,10,8,7,9,6,5,4,12,3,2,1]
[1,2,3,12,4,5,6,11,7,8,9,10]=>[10,9,8,7,11,6,5,4,12,3,2,1]
[1,2,3,12,4,5,6,11,7,10,8,9]=>[9,8,10,7,11,6,5,4,12,3,2,1]
[1,2,3,8,4,7,5,6,9,10,11,12]=>[12,11,10,9,6,5,7,4,8,3,2,1]
[1,2,3,8,4,7,5,6,9,12,10,11]=>[11,10,12,9,6,5,7,4,8,3,2,1]
[1,2,3,10,4,7,5,6,8,9,11,12]=>[12,11,9,8,6,5,7,4,10,3,2,1]
[1,2,3,12,4,7,5,6,8,9,10,11]=>[11,10,9,8,6,5,7,4,12,3,2,1]
[1,2,3,12,4,7,5,6,8,11,9,10]=>[10,9,11,8,6,5,7,4,12,3,2,1]
[1,2,3,10,4,9,5,6,7,8,11,12]=>[12,11,8,7,6,5,9,4,10,3,2,1]
[1,2,3,12,4,9,5,6,7,8,10,11]=>[11,10,8,7,6,5,9,4,12,3,2,1]
[1,2,3,12,4,11,5,6,7,8,9,10]=>[10,9,8,7,6,5,11,4,12,3,2,1]
[1,2,3,12,4,11,5,6,7,10,8,9]=>[9,8,10,7,6,5,11,4,12,3,2,1]
[1,2,3,10,4,9,5,8,6,7,11,12]=>[12,11,7,6,8,5,9,4,10,3,2,1]
[1,2,3,12,4,9,5,8,6,7,10,11]=>[11,10,7,6,8,5,9,4,12,3,2,1]
[1,2,3,12,4,11,5,8,6,7,9,10]=>[10,9,7,6,8,5,11,4,12,3,2,1]
[1,2,3,12,4,11,5,10,6,7,8,9]=>[9,8,7,6,10,5,11,4,12,3,2,1]
[1,2,3,12,4,11,5,10,6,9,7,8]=>[8,7,9,6,10,5,11,4,12,3,2,1]
[1,4,2,3,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,3,2,4,1]
[1,4,2,3,5,6,7,8,9,12,10,11]=>[11,10,12,9,8,7,6,5,3,2,4,1]
[1,4,2,3,5,6,7,10,8,9,11,12]=>[12,11,9,8,10,7,6,5,3,2,4,1]
[1,4,2,3,5,6,7,12,8,9,10,11]=>[11,10,9,8,12,7,6,5,3,2,4,1]
[1,4,2,3,5,6,7,12,8,11,9,10]=>[10,9,11,8,12,7,6,5,3,2,4,1]
[1,4,2,3,5,8,6,7,9,10,11,12]=>[12,11,10,9,7,6,8,5,3,2,4,1]
[1,4,2,3,5,8,6,7,9,12,10,11]=>[11,10,12,9,7,6,8,5,3,2,4,1]
[1,4,2,3,5,10,6,7,8,9,11,12]=>[12,11,9,8,7,6,10,5,3,2,4,1]
[1,4,2,3,5,12,6,7,8,9,10,11]=>[11,10,9,8,7,6,12,5,3,2,4,1]
[1,4,2,3,5,12,6,7,8,11,9,10]=>[10,9,11,8,7,6,12,5,3,2,4,1]
[1,4,2,3,5,10,6,9,7,8,11,12]=>[12,11,8,7,9,6,10,5,3,2,4,1]
[1,4,2,3,5,12,6,9,7,8,10,11]=>[11,10,8,7,9,6,12,5,3,2,4,1]
[1,4,2,3,5,12,6,11,7,8,9,10]=>[10,9,8,7,11,6,12,5,3,2,4,1]
[1,4,2,3,5,12,6,11,7,10,8,9]=>[9,8,10,7,11,6,12,5,3,2,4,1]
[1,6,2,3,4,5,7,8,9,10,11,12]=>[12,11,10,9,8,7,5,4,3,2,6,1]
[1,6,2,3,4,5,7,8,9,12,10,11]=>[11,10,12,9,8,7,5,4,3,2,6,1]
[1,6,2,3,4,5,7,10,8,9,11,12]=>[12,11,9,8,10,7,5,4,3,2,6,1]
[1,6,2,3,4,5,7,12,8,9,10,11]=>[11,10,9,8,12,7,5,4,3,2,6,1]
[1,6,2,3,4,5,7,12,8,11,9,10]=>[10,9,11,8,12,7,5,4,3,2,6,1]
[1,8,2,3,4,5,6,7,9,10,11,12]=>[12,11,10,9,7,6,5,4,3,2,8,1]
[1,8,2,3,4,5,6,7,9,12,10,11]=>[11,10,12,9,7,6,5,4,3,2,8,1]
[1,10,2,3,4,5,6,7,8,9,11,12]=>[12,11,9,8,7,6,5,4,3,2,10,1]
[1,12,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,12,1]
[1,12,2,3,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,3,2,12,1]
[1,10,2,3,4,5,6,9,7,8,11,12]=>[12,11,8,7,9,6,5,4,3,2,10,1]
[1,12,2,3,4,5,6,9,7,8,10,11]=>[11,10,8,7,9,6,5,4,3,2,12,1]
[1,12,2,3,4,5,6,11,7,8,9,10]=>[10,9,8,7,11,6,5,4,3,2,12,1]
[1,12,2,3,4,5,6,11,7,10,8,9]=>[9,8,10,7,11,6,5,4,3,2,12,1]
[1,8,2,3,4,7,5,6,9,10,11,12]=>[12,11,10,9,6,5,7,4,3,2,8,1]
[1,8,2,3,4,7,5,6,9,12,10,11]=>[11,10,12,9,6,5,7,4,3,2,8,1]
[1,10,2,3,4,7,5,6,8,9,11,12]=>[12,11,9,8,6,5,7,4,3,2,10,1]
[1,12,2,3,4,7,5,6,8,9,10,11]=>[11,10,9,8,6,5,7,4,3,2,12,1]
[1,12,2,3,4,7,5,6,8,11,9,10]=>[10,9,11,8,6,5,7,4,3,2,12,1]
[1,10,2,3,4,9,5,6,7,8,11,12]=>[12,11,8,7,6,5,9,4,3,2,10,1]
[1,12,2,3,4,9,5,6,7,8,10,11]=>[11,10,8,7,6,5,9,4,3,2,12,1]
[1,12,2,3,4,11,5,6,7,8,9,10]=>[10,9,8,7,6,5,11,4,3,2,12,1]
[1,12,2,3,4,11,5,6,7,10,8,9]=>[9,8,10,7,6,5,11,4,3,2,12,1]
[1,10,2,3,4,9,5,8,6,7,11,12]=>[12,11,7,6,8,5,9,4,3,2,10,1]
[1,12,2,3,4,9,5,8,6,7,10,11]=>[11,10,7,6,8,5,9,4,3,2,12,1]
[1,12,2,3,4,11,5,8,6,7,9,10]=>[10,9,7,6,8,5,11,4,3,2,12,1]
[1,12,2,3,4,11,5,10,6,7,8,9]=>[9,8,7,6,10,5,11,4,3,2,12,1]
[1,12,2,3,4,11,5,10,6,9,7,8]=>[8,7,9,6,10,5,11,4,3,2,12,1]
[1,6,2,5,3,4,7,8,9,10,11,12]=>[12,11,10,9,8,7,4,3,5,2,6,1]
[1,6,2,5,3,4,7,8,9,12,10,11]=>[11,10,12,9,8,7,4,3,5,2,6,1]
[1,6,2,5,3,4,7,10,8,9,11,12]=>[12,11,9,8,10,7,4,3,5,2,6,1]
[1,6,2,5,3,4,7,12,8,9,10,11]=>[11,10,9,8,12,7,4,3,5,2,6,1]
[1,6,2,5,3,4,7,12,8,11,9,10]=>[10,9,11,8,12,7,4,3,5,2,6,1]
[1,8,2,5,3,4,6,7,9,10,11,12]=>[12,11,10,9,7,6,4,3,5,2,8,1]
[1,8,2,5,3,4,6,7,9,12,10,11]=>[11,10,12,9,7,6,4,3,5,2,8,1]
[1,10,2,5,3,4,6,7,8,9,11,12]=>[12,11,9,8,7,6,4,3,5,2,10,1]
[1,12,2,5,3,4,6,7,8,9,10,11]=>[11,10,9,8,7,6,4,3,5,2,12,1]
[1,12,2,5,3,4,6,7,8,11,9,10]=>[10,9,11,8,7,6,4,3,5,2,12,1]
[1,10,2,5,3,4,6,9,7,8,11,12]=>[12,11,8,7,9,6,4,3,5,2,10,1]
[1,12,2,5,3,4,6,9,7,8,10,11]=>[11,10,8,7,9,6,4,3,5,2,12,1]
[1,12,2,5,3,4,6,11,7,8,9,10]=>[10,9,8,7,11,6,4,3,5,2,12,1]
[1,12,2,5,3,4,6,11,7,10,8,9]=>[9,8,10,7,11,6,4,3,5,2,12,1]
[1,8,2,7,3,4,5,6,9,10,11,12]=>[12,11,10,9,6,5,4,3,7,2,8,1]
[1,8,2,7,3,4,5,6,9,12,10,11]=>[11,10,12,9,6,5,4,3,7,2,8,1]
[1,10,2,7,3,4,5,6,8,9,11,12]=>[12,11,9,8,6,5,4,3,7,2,10,1]
[1,12,2,7,3,4,5,6,8,9,10,11]=>[11,10,9,8,6,5,4,3,7,2,12,1]
[1,12,2,7,3,4,5,6,8,11,9,10]=>[10,9,11,8,6,5,4,3,7,2,12,1]
[1,10,2,9,3,4,5,6,7,8,11,12]=>[12,11,8,7,6,5,4,3,9,2,10,1]
[1,12,2,9,3,4,5,6,7,8,10,11]=>[11,10,8,7,6,5,4,3,9,2,12,1]
[1,12,2,11,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,11,2,12,1]
[1,12,2,11,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,11,2,12,1]
[1,10,2,9,3,4,5,8,6,7,11,12]=>[12,11,7,6,8,5,4,3,9,2,10,1]
[1,12,2,9,3,4,5,8,6,7,10,11]=>[11,10,7,6,8,5,4,3,9,2,12,1]
[1,12,2,11,3,4,5,8,6,7,9,10]=>[10,9,7,6,8,5,4,3,11,2,12,1]
[1,12,2,11,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,11,2,12,1]
[1,12,2,11,3,4,5,10,6,9,7,8]=>[8,7,9,6,10,5,4,3,11,2,12,1]
[1,8,2,7,3,6,4,5,9,10,11,12]=>[12,11,10,9,5,4,6,3,7,2,8,1]
[1,8,2,7,3,6,4,5,9,12,10,11]=>[11,10,12,9,5,4,6,3,7,2,8,1]
[1,10,2,7,3,6,4,5,8,9,11,12]=>[12,11,9,8,5,4,6,3,7,2,10,1]
[1,12,2,7,3,6,4,5,8,9,10,11]=>[11,10,9,8,5,4,6,3,7,2,12,1]
[1,12,2,7,3,6,4,5,8,11,9,10]=>[10,9,11,8,5,4,6,3,7,2,12,1]
[1,10,2,9,3,6,4,5,7,8,11,12]=>[12,11,8,7,5,4,6,3,9,2,10,1]
[1,12,2,9,3,6,4,5,7,8,10,11]=>[11,10,8,7,5,4,6,3,9,2,12,1]
[1,12,2,11,3,6,4,5,7,8,9,10]=>[10,9,8,7,5,4,6,3,11,2,12,1]
[1,12,2,11,3,6,4,5,7,10,8,9]=>[9,8,10,7,5,4,6,3,11,2,12,1]
[1,10,2,9,3,8,4,5,6,7,11,12]=>[12,11,7,6,5,4,8,3,9,2,10,1]
[1,12,2,9,3,8,4,5,6,7,10,11]=>[11,10,7,6,5,4,8,3,9,2,12,1]
[1,12,2,11,3,8,4,5,6,7,9,10]=>[10,9,7,6,5,4,8,3,11,2,12,1]
[1,12,2,11,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,11,2,12,1]
[1,12,2,11,3,10,4,5,6,9,7,8]=>[8,7,9,6,5,4,10,3,11,2,12,1]
[1,10,2,9,3,8,4,7,5,6,11,12]=>[12,11,6,5,7,4,8,3,9,2,10,1]
[1,12,2,9,3,8,4,7,5,6,10,11]=>[11,10,6,5,7,4,8,3,9,2,12,1]
[1,12,2,11,3,8,4,7,5,6,9,10]=>[10,9,6,5,7,4,8,3,11,2,12,1]
[1,12,2,11,3,10,4,7,5,6,8,9]=>[9,8,6,5,7,4,10,3,11,2,12,1]
[1,12,2,11,3,10,4,9,5,6,7,8]=>[8,7,6,5,9,4,10,3,11,2,12,1]
[12,3,1,4,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,4,1,3,12]
[2,1,4,3,10,7,11,9,6,12,5,8]=>[8,5,12,6,9,11,7,10,3,4,1,2]
[2,1,8,5,9,7,4,10,3,6,12,11]=>[11,12,6,3,10,4,7,9,5,8,1,2]
[2,1,10,5,11,7,4,9,6,12,3,8]=>[8,3,12,6,9,4,7,11,5,10,1,2]
[2,1,8,5,9,7,4,10,11,12,3,6]=>[6,3,12,11,10,4,7,9,5,8,1,2]
[2,1,10,5,11,7,8,9,4,12,3,6]=>[6,3,12,4,9,8,7,11,5,10,1,2]
[2,1,6,5,9,10,8,12,11,7,3,4]=>[4,3,7,11,12,8,10,9,5,6,1,2]
[2,1,10,5,6,7,11,9,4,12,3,8]=>[8,3,12,4,9,11,7,6,5,10,1,2]
[2,1,10,7,6,8,9,4,11,12,3,5]=>[5,3,12,11,4,9,8,6,7,10,1,2]
[2,1,4,9,6,10,8,5,11,3,12,7]=>[7,12,3,11,5,8,10,6,9,4,1,2]
[2,3,4,1,10,7,11,9,6,12,5,8]=>[8,5,12,6,9,11,7,10,1,4,3,2]
[6,3,7,5,2,8,1,4,10,9,12,11]=>[11,12,9,10,4,1,8,2,5,7,3,6]
[6,3,7,5,2,8,1,4,10,11,12,9]=>[9,12,11,10,4,1,8,2,5,7,3,6]
[8,3,9,5,2,7,4,10,1,6,12,11]=>[11,12,6,1,10,4,7,2,5,9,3,8]
[10,3,11,5,2,7,4,9,6,12,1,8]=>[8,1,12,6,9,4,7,2,5,11,3,10]
[8,3,9,5,2,7,4,10,11,12,1,6]=>[6,1,12,11,10,4,7,2,5,9,3,8]
[6,3,7,5,2,8,9,10,1,4,12,11]=>[11,12,4,1,10,9,8,2,5,7,3,6]
[10,3,11,5,2,7,8,9,4,12,1,6]=>[6,1,12,4,9,8,7,2,5,11,3,10]
[6,3,9,5,2,10,8,12,11,7,1,4]=>[4,1,7,11,12,8,10,2,5,9,3,6]
[6,3,7,5,2,8,9,10,11,12,1,4]=>[4,1,12,11,10,9,8,2,5,7,3,6]
[8,3,9,5,6,7,2,10,1,4,12,11]=>[11,12,4,1,10,2,7,6,5,9,3,8]
[10,3,11,5,6,7,2,9,4,12,1,8]=>[8,1,12,4,9,2,7,6,5,11,3,10]
[8,3,9,5,6,7,2,10,11,12,1,4]=>[4,1,12,11,10,2,7,6,5,9,3,8]
[4,3,7,8,6,10,9,5,1,2,12,11]=>[11,12,2,1,5,9,10,6,8,7,3,4]
[10,3,11,7,6,8,9,4,2,12,1,5]=>[5,1,12,2,4,9,8,6,7,11,3,10]
[4,3,9,10,6,12,8,5,11,7,1,2]=>[2,1,7,11,5,8,12,6,10,9,3,4]
[10,3,11,5,6,7,8,9,2,12,1,4]=>[4,1,12,2,9,8,7,6,5,11,3,10]
[4,3,9,10,6,7,8,12,11,5,1,2]=>[2,1,5,11,12,8,7,6,10,9,3,4]
[4,3,5,8,9,7,12,10,6,11,2,1]=>[1,2,11,6,10,12,7,9,8,5,3,4]
[8,3,4,5,9,7,2,10,1,6,12,11]=>[11,12,6,1,10,2,7,9,5,4,3,8]
[10,3,4,5,11,7,2,9,6,12,1,8]=>[8,1,12,6,9,2,7,11,5,4,3,10]
[8,3,4,5,9,7,2,10,11,12,1,6]=>[6,1,12,11,10,2,7,9,5,4,3,8]
[10,3,4,5,11,7,8,9,2,12,1,6]=>[6,1,12,2,9,8,7,11,5,4,3,10]
[6,3,4,5,9,10,8,12,11,7,1,2]=>[2,1,7,11,12,8,10,9,5,4,3,6]
[8,5,4,6,7,2,9,10,1,3,12,11]=>[11,12,3,1,10,9,2,7,6,4,5,8]
[10,5,4,6,7,2,11,9,3,12,1,8]=>[8,1,12,3,9,11,2,7,6,4,5,10]
[8,5,4,6,7,2,9,10,11,12,1,3]=>[3,1,12,11,10,9,2,7,6,4,5,8]
[2,7,4,8,6,3,9,1,10,5,12,11]=>[11,12,5,10,1,9,3,6,8,4,7,2]
[10,7,4,8,6,3,9,2,11,12,1,5]=>[5,1,12,11,2,9,3,6,8,4,7,10]
[2,9,4,10,6,3,8,5,11,1,12,7]=>[7,12,1,11,5,8,3,6,10,4,9,2]
[2,7,4,8,6,3,9,10,11,1,12,5]=>[5,12,1,11,10,9,3,6,8,4,7,2]
[10,5,4,6,7,8,9,2,11,12,1,3]=>[3,1,12,11,2,9,8,7,6,4,5,10]
[2,9,4,10,6,7,8,3,11,1,12,5]=>[5,12,1,11,3,8,7,6,10,4,9,2]
[2,5,4,8,9,7,11,10,6,1,12,3]=>[3,12,1,6,10,11,7,9,8,4,5,2]
[10,3,4,5,6,7,11,9,2,12,1,8]=>[8,1,12,2,9,11,7,6,5,4,3,10]
[10,7,4,5,6,8,9,2,11,12,1,3]=>[3,1,12,11,2,9,8,6,5,4,7,10]
[2,9,4,5,6,10,8,3,11,1,12,7]=>[7,12,1,11,3,8,10,6,5,4,9,2]
[10,3,6,5,7,8,2,9,11,12,1,4]=>[4,1,12,11,9,2,8,7,5,6,3,10]
[2,9,6,5,7,8,3,10,11,1,12,4]=>[4,12,1,11,10,3,8,7,5,6,9,2]
[2,3,8,5,9,7,4,10,1,11,12,6]=>[6,12,11,1,10,4,7,9,5,8,3,2]
[1,3,2,5,4,7,6,9,8,12,10,11]=>[11,10,12,8,9,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,8,10,12,9,11]=>[11,9,12,10,8,6,7,4,5,2,3,1]
[1,3,2,5,4,7,6,8,12,9,10,11]=>[11,10,9,12,8,6,7,4,5,2,3,1]
[1,3,2,5,4,6,8,9,7,12,10,11]=>[11,10,12,7,9,8,6,4,5,2,3,1]
[1,3,2,5,4,6,8,7,10,12,9,11]=>[11,9,12,10,7,8,6,4,5,2,3,1]
[1,3,2,5,4,6,8,7,12,9,10,11]=>[11,10,9,12,7,8,6,4,5,2,3,1]
[1,3,2,5,4,6,7,9,10,12,8,11]=>[11,8,12,10,9,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,9,12,8,10,11]=>[11,10,8,12,9,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,12,8,9,10,11]=>[11,10,9,8,12,7,6,4,5,2,3,1]
[1,3,2,4,6,7,5,9,8,12,10,11]=>[11,10,12,8,9,5,7,6,4,2,3,1]
[1,3,2,4,6,7,5,8,10,12,9,11]=>[11,9,12,10,8,5,7,6,4,2,3,1]
[1,3,2,4,6,7,5,8,12,9,10,11]=>[11,10,9,12,8,5,7,6,4,2,3,1]
[1,3,2,4,6,5,8,9,7,12,10,11]=>[11,10,12,7,9,8,5,6,4,2,3,1]
[1,3,2,4,6,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,6,4,2,3,1]
[1,3,2,4,6,5,8,7,12,9,10,11]=>[11,10,9,12,7,8,5,6,4,2,3,1]
[1,3,2,4,6,5,7,9,10,12,8,11]=>[11,8,12,10,9,7,5,6,4,2,3,1]
[1,3,2,4,6,5,7,9,12,8,10,11]=>[11,10,8,12,9,7,5,6,4,2,3,1]
[1,3,2,4,6,5,7,12,8,9,10,11]=>[11,10,9,8,12,7,5,6,4,2,3,1]
[1,3,2,4,5,7,8,9,6,12,10,11]=>[11,10,12,6,9,8,7,5,4,2,3,1]
[1,3,2,4,5,7,8,6,10,12,9,11]=>[11,9,12,10,6,8,7,5,4,2,3,1]
[1,3,2,4,5,7,8,6,12,9,10,11]=>[11,10,9,12,6,8,7,5,4,2,3,1]
[1,3,2,4,5,7,6,9,10,12,8,11]=>[11,8,12,10,9,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,9,12,8,10,11]=>[11,10,8,12,9,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,12,8,9,10,11]=>[11,10,9,8,12,6,7,5,4,2,3,1]
[1,3,2,4,5,6,8,9,10,12,7,11]=>[11,7,12,10,9,8,6,5,4,2,3,1]
[1,3,2,4,5,6,8,9,12,7,10,11]=>[11,10,7,12,9,8,6,5,4,2,3,1]
[1,3,2,4,5,6,8,12,7,9,10,11]=>[11,10,9,7,12,8,6,5,4,2,3,1]
[1,3,2,4,5,6,12,7,8,9,10,11]=>[11,10,9,8,7,12,6,5,4,2,3,1]
[1,2,4,5,3,7,6,9,8,12,10,11]=>[11,10,12,8,9,6,7,3,5,4,2,1]
[1,2,4,5,3,7,6,8,10,12,9,11]=>[11,9,12,10,8,6,7,3,5,4,2,1]
[1,2,4,5,3,7,6,8,12,9,10,11]=>[11,10,9,12,8,6,7,3,5,4,2,1]
[1,2,4,5,3,6,8,9,7,12,10,11]=>[11,10,12,7,9,8,6,3,5,4,2,1]
[1,2,4,5,3,6,8,7,10,12,9,11]=>[11,9,12,10,7,8,6,3,5,4,2,1]
[1,2,4,5,3,6,8,7,12,9,10,11]=>[11,10,9,12,7,8,6,3,5,4,2,1]
[1,2,4,5,3,6,7,9,10,12,8,11]=>[11,8,12,10,9,7,6,3,5,4,2,1]
[1,2,4,5,3,6,7,9,12,8,10,11]=>[11,10,8,12,9,7,6,3,5,4,2,1]
[1,2,4,5,3,6,7,12,8,9,10,11]=>[11,10,9,8,12,7,6,3,5,4,2,1]
[1,2,4,3,6,7,5,9,8,12,10,11]=>[11,10,12,8,9,5,7,6,3,4,2,1]
[1,2,4,3,6,7,5,8,10,12,9,11]=>[11,9,12,10,8,5,7,6,3,4,2,1]
[1,2,4,3,6,7,5,8,12,9,10,11]=>[11,10,9,12,8,5,7,6,3,4,2,1]
[1,2,4,3,6,5,8,9,7,12,10,11]=>[11,10,12,7,9,8,5,6,3,4,2,1]
[1,2,4,3,6,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,6,3,4,2,1]
[1,2,4,3,6,5,8,7,12,9,10,11]=>[11,10,9,12,7,8,5,6,3,4,2,1]
[1,2,4,3,6,5,7,9,10,12,8,11]=>[11,8,12,10,9,7,5,6,3,4,2,1]
[1,2,4,3,6,5,7,9,12,8,10,11]=>[11,10,8,12,9,7,5,6,3,4,2,1]
[1,2,4,3,6,5,7,12,8,9,10,11]=>[11,10,9,8,12,7,5,6,3,4,2,1]
[1,2,4,3,5,7,8,9,6,12,10,11]=>[11,10,12,6,9,8,7,5,3,4,2,1]
[1,2,4,3,5,7,8,6,10,12,9,11]=>[11,9,12,10,6,8,7,5,3,4,2,1]
[1,2,4,3,5,7,8,6,12,9,10,11]=>[11,10,9,12,6,8,7,5,3,4,2,1]
[1,2,4,3,5,7,6,9,10,12,8,11]=>[11,8,12,10,9,6,7,5,3,4,2,1]
[1,2,4,3,5,7,6,9,12,8,10,11]=>[11,10,8,12,9,6,7,5,3,4,2,1]
[1,2,4,3,5,7,6,12,8,9,10,11]=>[11,10,9,8,12,6,7,5,3,4,2,1]
[1,2,4,3,5,6,8,9,10,12,7,11]=>[11,7,12,10,9,8,6,5,3,4,2,1]
[1,2,4,3,5,6,8,9,12,7,10,11]=>[11,10,7,12,9,8,6,5,3,4,2,1]
[1,2,4,3,5,6,8,12,7,9,10,11]=>[11,10,9,7,12,8,6,5,3,4,2,1]
[1,2,4,3,5,6,12,7,8,9,10,11]=>[11,10,9,8,7,12,6,5,3,4,2,1]
[1,2,3,5,6,7,4,9,8,12,10,11]=>[11,10,12,8,9,4,7,6,5,3,2,1]
[1,2,3,5,6,7,4,8,10,12,9,11]=>[11,9,12,10,8,4,7,6,5,3,2,1]
[1,2,3,5,6,7,4,8,12,9,10,11]=>[11,10,9,12,8,4,7,6,5,3,2,1]
[1,2,3,5,6,4,8,9,7,12,10,11]=>[11,10,12,7,9,8,4,6,5,3,2,1]
[1,2,3,5,6,4,8,7,10,12,9,11]=>[11,9,12,10,7,8,4,6,5,3,2,1]
[1,2,3,5,6,4,8,7,12,9,10,11]=>[11,10,9,12,7,8,4,6,5,3,2,1]
[1,2,3,5,6,4,7,9,10,12,8,11]=>[11,8,12,10,9,7,4,6,5,3,2,1]
[1,2,3,5,6,4,7,9,12,8,10,11]=>[11,10,8,12,9,7,4,6,5,3,2,1]
[1,2,3,5,6,4,7,12,8,9,10,11]=>[11,10,9,8,12,7,4,6,5,3,2,1]
[1,2,3,5,4,7,8,9,6,12,10,11]=>[11,10,12,6,9,8,7,4,5,3,2,1]
[1,2,3,5,4,7,8,6,10,12,9,11]=>[11,9,12,10,6,8,7,4,5,3,2,1]
[1,2,3,5,4,7,8,6,12,9,10,11]=>[11,10,9,12,6,8,7,4,5,3,2,1]
[1,2,3,5,4,7,6,9,10,12,8,11]=>[11,8,12,10,9,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,9,12,8,10,11]=>[11,10,8,12,9,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,12,8,9,10,11]=>[11,10,9,8,12,6,7,4,5,3,2,1]
[1,2,3,5,4,6,8,9,10,12,7,11]=>[11,7,12,10,9,8,6,4,5,3,2,1]
[1,2,3,5,4,6,8,9,12,7,10,11]=>[11,10,7,12,9,8,6,4,5,3,2,1]
[1,2,3,5,4,6,8,12,7,9,10,11]=>[11,10,9,7,12,8,6,4,5,3,2,1]
[1,2,3,5,4,6,12,7,8,9,10,11]=>[11,10,9,8,7,12,6,4,5,3,2,1]
[1,2,3,4,6,7,8,9,5,12,10,11]=>[11,10,12,5,9,8,7,6,4,3,2,1]
[1,2,3,4,6,7,8,5,10,12,9,11]=>[11,9,12,10,5,8,7,6,4,3,2,1]
[1,2,3,4,6,7,8,5,12,9,10,11]=>[11,10,9,12,5,8,7,6,4,3,2,1]
[1,2,3,4,6,7,5,9,10,12,8,11]=>[11,8,12,10,9,5,7,6,4,3,2,1]
[1,2,3,4,6,7,5,9,12,8,10,11]=>[11,10,8,12,9,5,7,6,4,3,2,1]
[1,2,3,4,6,7,5,12,8,9,10,11]=>[11,10,9,8,12,5,7,6,4,3,2,1]
[1,2,3,4,6,5,8,9,10,12,7,11]=>[11,7,12,10,9,8,5,6,4,3,2,1]
[1,2,3,4,6,5,8,9,12,7,10,11]=>[11,10,7,12,9,8,5,6,4,3,2,1]
[1,2,3,4,6,5,8,12,7,9,10,11]=>[11,10,9,7,12,8,5,6,4,3,2,1]
[1,2,3,4,6,5,12,7,8,9,10,11]=>[11,10,9,8,7,12,5,6,4,3,2,1]
[1,2,3,4,5,7,8,9,10,12,6,11]=>[11,6,12,10,9,8,7,5,4,3,2,1]
[1,2,3,4,5,7,8,9,12,6,10,11]=>[11,10,6,12,9,8,7,5,4,3,2,1]
[1,2,3,4,5,7,8,12,6,9,10,11]=>[11,10,9,6,12,8,7,5,4,3,2,1]
[1,2,3,4,5,7,12,6,8,9,10,11]=>[11,10,9,8,6,12,7,5,4,3,2,1]
[12,10,11,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,11,10,12]
[12,11,8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8,11,12]
[12,11,9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9,11,12]
[12,11,9,10,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,10,9,11,12]
[12,11,10,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,10,11,12]
[11,12,9,10,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,10,9,12,11]
[12,9,10,11,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,11,10,9,12]
[2,1,4,3,6,5,10,12,9,11,8,7]=>[7,8,11,9,12,10,5,6,3,4,1,2]
[2,1,4,3,8,10,7,9,6,5,12,11]=>[11,12,5,6,9,7,10,8,3,4,1,2]
[2,1,4,3,10,12,7,9,6,11,8,5]=>[5,8,11,6,9,7,12,10,3,4,1,2]
[2,1,4,3,10,7,12,8,9,11,6,5]=>[5,6,11,9,8,12,7,10,3,4,1,2]
[2,1,4,3,6,9,12,8,11,10,7,5]=>[5,7,10,11,8,12,9,6,3,4,1,2]
[2,1,4,6,5,3,10,12,9,11,8,7]=>[7,8,11,9,12,10,3,5,6,4,1,2]
[2,1,6,8,5,7,4,3,10,9,12,11]=>[11,12,9,10,3,4,7,5,8,6,1,2]
[2,1,6,8,5,7,4,3,10,12,11,9]=>[9,11,12,10,3,4,7,5,8,6,1,2]
[2,1,8,10,5,7,4,9,6,3,12,11]=>[11,12,3,6,9,4,7,5,10,8,1,2]
[2,1,10,12,5,7,4,9,6,11,8,3]=>[3,8,11,6,9,4,7,5,12,10,1,2]
[2,1,8,9,5,7,4,12,10,6,11,3]=>[3,11,6,10,12,4,7,5,9,8,1,2]
[2,1,10,7,5,12,8,4,9,11,6,3]=>[3,6,11,9,4,8,12,5,7,10,1,2]
[2,1,6,9,5,12,8,4,11,10,7,3]=>[3,7,10,11,4,8,12,5,9,6,1,2]
[2,1,6,7,5,8,12,9,4,10,11,3]=>[3,11,10,4,9,12,8,5,7,6,1,2]
[2,1,8,5,10,6,7,9,4,3,12,11]=>[11,12,3,4,9,7,6,10,5,8,1,2]
[2,1,10,5,12,6,7,9,4,11,8,3]=>[3,8,11,4,9,7,6,12,5,10,1,2]
[2,1,4,7,10,6,9,8,5,3,12,11]=>[11,12,3,5,8,9,6,10,7,4,1,2]
[2,1,10,7,12,6,9,8,5,11,4,3]=>[3,4,11,5,8,9,6,12,7,10,1,2]
[2,1,4,9,12,6,11,8,10,5,7,3]=>[3,7,5,10,8,11,6,12,9,4,1,2]
[2,1,10,5,6,12,7,8,9,11,4,3]=>[3,4,11,9,8,7,12,6,5,10,1,2]
[2,1,4,9,6,12,7,8,11,10,5,3]=>[3,5,10,11,8,7,12,6,9,4,1,2]
[2,1,4,5,8,12,7,11,9,10,6,3]=>[3,6,10,9,11,7,12,8,5,4,1,2]
[2,4,3,1,6,5,10,12,9,11,8,7]=>[7,8,11,9,12,10,5,6,1,3,4,2]
[2,4,3,1,8,10,7,9,6,5,12,11]=>[11,12,5,6,9,7,10,8,1,3,4,2]
[2,4,3,1,10,12,7,9,6,11,8,5]=>[5,8,11,6,9,7,12,10,1,3,4,2]
[2,4,3,1,10,7,12,8,9,11,6,5]=>[5,6,11,9,8,12,7,10,1,3,4,2]
[2,4,3,1,6,9,12,8,11,10,7,5]=>[5,7,10,11,8,12,9,6,1,3,4,2]
[4,6,3,5,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,5,3,6,4]
[4,6,3,5,2,1,8,7,10,12,11,9]=>[9,11,12,10,7,8,1,2,5,3,6,4]
[4,6,3,5,2,1,8,10,9,7,12,11]=>[11,12,7,9,10,8,1,2,5,3,6,4]
[4,6,3,5,2,1,10,12,9,11,8,7]=>[7,8,11,9,12,10,1,2,5,3,6,4]
[4,6,3,5,2,1,8,9,12,10,11,7]=>[7,11,10,12,9,8,1,2,5,3,6,4]
[6,8,3,5,2,7,4,1,10,9,12,11]=>[11,12,9,10,1,4,7,2,5,3,8,6]
[6,8,3,5,2,7,4,1,10,12,11,9]=>[9,11,12,10,1,4,7,2,5,3,8,6]
[8,10,3,5,2,7,4,9,6,1,12,11]=>[11,12,1,6,9,4,7,2,5,3,10,8]
[10,12,3,5,2,7,4,9,6,11,8,1]=>[1,8,11,6,9,4,7,2,5,3,12,10]
[8,9,3,5,2,7,4,12,10,6,11,1]=>[1,11,6,10,12,4,7,2,5,3,9,8]
[6,7,3,5,2,10,8,4,9,1,12,11]=>[11,12,1,9,4,8,10,2,5,3,7,6]
[10,7,3,5,2,12,8,4,9,11,6,1]=>[1,6,11,9,4,8,12,2,5,3,7,10]
[6,9,3,5,2,12,8,4,11,10,7,1]=>[1,7,10,11,4,8,12,2,5,3,9,6]
[6,7,3,5,2,8,12,9,4,10,11,1]=>[1,11,10,4,9,12,8,2,5,3,7,6]
[8,5,3,10,6,2,7,9,4,1,12,11]=>[11,12,1,4,9,7,2,6,10,3,5,8]
[10,5,3,12,6,2,7,9,4,11,8,1]=>[1,8,11,4,9,7,2,6,12,3,5,10]
[8,5,3,9,6,2,7,12,10,4,11,1]=>[1,11,4,10,12,7,2,6,9,3,5,8]
[4,7,3,10,6,2,9,8,5,1,12,11]=>[11,12,1,5,8,9,2,6,10,3,7,4]
[10,7,3,12,6,2,9,8,5,11,4,1]=>[1,4,11,5,8,9,2,6,12,3,7,10]
[4,9,3,12,6,2,11,8,10,5,7,1]=>[1,7,5,10,8,11,2,6,12,3,9,4]
[4,7,3,8,6,2,12,10,9,5,11,1]=>[1,11,5,9,10,12,2,6,8,3,7,4]
[4,5,3,6,10,7,2,8,9,1,12,11]=>[11,12,1,9,8,2,7,10,6,3,5,4]
[10,5,3,6,12,7,2,8,9,11,4,1]=>[1,4,11,9,8,2,7,12,6,3,5,10]
[4,9,3,6,12,7,2,8,11,10,5,1]=>[1,5,10,11,8,2,7,12,6,3,9,4]
[4,5,3,8,12,7,2,11,9,10,6,1]=>[1,6,10,9,11,2,7,12,8,3,5,4]
[2,3,6,4,5,1,10,12,9,11,8,7]=>[7,8,11,9,12,10,1,5,4,6,3,2]
[6,3,8,4,5,7,2,1,10,9,12,11]=>[11,12,9,10,1,2,7,5,4,8,3,6]
[6,3,8,4,5,7,2,1,10,12,11,9]=>[9,11,12,10,1,2,7,5,4,8,3,6]
[8,3,10,4,5,7,2,9,6,1,12,11]=>[11,12,1,6,9,2,7,5,4,10,3,8]
[10,3,12,4,5,7,2,9,6,11,8,1]=>[1,8,11,6,9,2,7,5,4,12,3,10]
[8,3,9,4,5,7,2,12,10,6,11,1]=>[1,11,6,10,12,2,7,5,4,9,3,8]
[10,3,7,4,5,12,8,2,9,11,6,1]=>[1,6,11,9,2,8,12,5,4,7,3,10]
[6,3,9,4,5,12,8,2,11,10,7,1]=>[1,7,10,11,2,8,12,5,4,9,3,6]
[6,3,7,4,5,8,12,9,2,10,11,1]=>[1,11,10,2,9,12,8,5,4,7,3,6]
[2,5,8,4,7,6,3,1,10,9,12,11]=>[11,12,9,10,1,3,6,7,4,8,5,2]
[2,5,8,4,7,6,3,1,10,12,11,9]=>[9,11,12,10,1,3,6,7,4,8,5,2]
[8,5,10,4,7,6,3,9,2,1,12,11]=>[11,12,1,2,9,3,6,7,4,10,5,8]
[10,5,12,4,7,6,3,9,2,11,8,1]=>[1,8,11,2,9,3,6,7,4,12,5,10]
[8,5,9,4,7,6,3,12,10,2,11,1]=>[1,11,2,10,12,3,6,7,4,9,5,8]
[2,7,10,4,9,6,8,3,5,1,12,11]=>[11,12,1,5,3,8,6,9,4,10,7,2]
[10,7,12,4,9,6,8,3,5,11,2,1]=>[1,2,11,5,3,8,6,9,4,12,7,10]
[2,9,12,4,11,6,8,3,10,5,7,1]=>[1,7,5,10,3,8,6,11,4,12,9,2]
[2,7,8,4,12,6,10,9,3,5,11,1]=>[1,11,5,3,9,10,6,12,4,8,7,2]
[10,5,6,4,12,8,7,3,9,11,2,1]=>[1,2,11,9,3,7,8,12,4,6,5,10]
[2,9,6,4,12,8,7,3,11,10,5,1]=>[1,5,10,11,3,7,8,12,4,6,9,2]
[2,5,8,4,12,11,7,9,3,10,6,1]=>[1,6,10,3,9,7,11,12,4,8,5,2]
[2,5,6,4,7,12,9,8,3,10,11,1]=>[1,11,10,3,8,9,12,7,4,6,5,2]
[8,3,4,10,5,6,7,9,2,1,12,11]=>[11,12,1,2,9,7,6,5,10,4,3,8]
[10,3,4,12,5,6,7,9,2,11,8,1]=>[1,8,11,2,9,7,6,5,12,4,3,10]
[2,7,4,10,5,6,9,8,3,1,12,11]=>[11,12,1,3,8,9,6,5,10,4,7,2]
[10,7,4,12,5,6,9,8,3,11,2,1]=>[1,2,11,3,8,9,6,5,12,4,7,10]
[2,9,4,12,5,6,11,8,10,3,7,1]=>[1,7,3,10,8,11,6,5,12,4,9,2]
[2,3,6,10,5,9,7,8,4,1,12,11]=>[11,12,1,4,8,7,9,5,10,6,3,2]
[10,3,6,12,5,9,7,8,4,11,2,1]=>[1,2,11,4,8,7,9,5,12,6,3,10]
[2,9,6,12,5,11,7,8,10,4,3,1]=>[1,3,4,10,8,7,11,5,12,6,9,2]
[2,3,8,12,5,11,7,10,9,4,6,1]=>[1,6,4,9,10,7,11,5,12,8,3,2]
[10,3,4,5,12,6,7,8,9,11,2,1]=>[1,2,11,9,8,7,6,12,5,4,3,10]
[2,9,4,5,12,6,7,8,11,10,3,1]=>[1,3,10,11,8,7,6,12,5,4,9,2]
[2,3,8,5,12,6,7,11,9,10,4,1]=>[1,4,10,9,11,7,6,12,5,8,3,2]
[2,3,4,7,12,6,11,8,9,10,5,1]=>[1,5,10,9,8,11,6,12,7,4,3,2]
[2,1,4,3,6,5,10,9,11,12,8,7]=>[7,8,12,11,9,10,5,6,3,4,1,2]
[2,1,4,3,8,7,9,10,6,5,12,11]=>[11,12,5,6,10,9,7,8,3,4,1,2]
[2,1,4,3,10,7,9,11,6,12,8,5]=>[5,8,12,6,11,9,7,10,3,4,1,2]
[2,1,4,3,8,7,9,10,11,12,6,5]=>[5,6,12,11,10,9,7,8,3,4,1,2]
[2,1,4,3,10,7,8,9,11,12,6,5]=>[5,6,12,11,9,8,7,10,3,4,1,2]
[2,1,4,3,6,9,8,10,11,7,12,5]=>[5,12,7,11,10,8,9,6,3,4,1,2]
[2,1,4,5,6,3,10,9,11,12,8,7]=>[7,8,12,11,9,10,3,6,5,4,1,2]
[2,1,6,5,7,8,4,3,10,9,12,11]=>[11,12,9,10,3,4,8,7,5,6,1,2]
[2,1,6,5,7,8,4,3,10,11,12,9]=>[9,12,11,10,3,4,8,7,5,6,1,2]
[2,1,8,5,7,9,4,10,6,3,12,11]=>[11,12,3,6,10,4,9,7,5,8,1,2]
[2,1,10,5,7,9,4,11,6,12,8,3]=>[3,8,12,6,11,4,9,7,5,10,1,2]
[2,1,8,5,7,9,4,10,11,12,6,3]=>[3,6,12,11,10,4,9,7,5,8,1,2]
[2,1,6,5,7,8,9,10,4,3,12,11]=>[11,12,3,4,10,9,8,7,5,6,1,2]
[2,1,10,5,7,8,9,11,4,12,6,3]=>[3,6,12,4,11,9,8,7,5,10,1,2]
[2,1,6,5,9,8,10,11,12,4,7,3]=>[3,7,4,12,11,10,8,9,5,6,1,2]
[2,1,6,5,7,8,9,10,11,12,4,3]=>[3,4,12,11,10,9,8,7,5,6,1,2]
[2,1,8,5,6,7,9,10,4,3,12,11]=>[11,12,3,4,10,9,7,6,5,8,1,2]
[2,1,10,5,6,7,9,11,4,12,8,3]=>[3,8,12,4,11,9,7,6,5,10,1,2]
[2,1,8,5,6,7,9,10,11,12,4,3]=>[3,4,12,11,10,9,7,6,5,8,1,2]
[2,1,4,7,6,8,9,5,10,3,12,11]=>[11,12,3,10,5,9,8,6,7,4,1,2]
[2,1,10,7,6,8,9,5,11,12,4,3]=>[3,4,12,11,5,9,8,6,7,10,1,2]
[2,1,4,9,6,8,10,5,11,7,12,3]=>[3,12,7,11,5,10,8,6,9,4,1,2]
[2,1,4,7,6,8,9,10,11,5,12,3]=>[3,12,5,11,10,9,8,6,7,4,1,2]
[2,1,10,5,6,7,8,9,11,12,4,3]=>[3,4,12,11,9,8,7,6,5,10,1,2]
[2,1,4,9,6,7,8,10,11,5,12,3]=>[3,12,5,11,10,8,7,6,9,4,1,2]
[2,1,4,5,8,7,9,10,6,11,12,3]=>[3,12,11,6,10,9,7,8,5,4,1,2]
[2,3,4,1,6,5,10,9,11,12,8,7]=>[7,8,12,11,9,10,5,6,1,4,3,2]
[2,3,4,1,8,7,9,10,6,5,12,11]=>[11,12,5,6,10,9,7,8,1,4,3,2]
[2,3,4,1,10,7,9,11,6,12,8,5]=>[5,8,12,6,11,9,7,10,1,4,3,2]
[2,3,4,1,8,7,9,10,11,12,6,5]=>[5,6,12,11,10,9,7,8,1,4,3,2]
[2,3,4,1,10,7,8,9,11,12,6,5]=>[5,6,12,11,9,8,7,10,1,4,3,2]
[2,3,4,1,6,9,8,10,11,7,12,5]=>[5,12,7,11,10,8,9,6,1,4,3,2]
[4,3,5,6,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,6,5,3,4]
[4,3,5,6,2,1,8,7,10,11,12,9]=>[9,12,11,10,7,8,1,2,6,5,3,4]
[4,3,5,6,2,1,8,9,10,7,12,11]=>[11,12,7,10,9,8,1,2,6,5,3,4]
[4,3,5,6,2,1,10,9,11,12,8,7]=>[7,8,12,11,9,10,1,2,6,5,3,4]
[4,3,5,6,2,1,8,9,10,11,12,7]=>[7,12,11,10,9,8,1,2,6,5,3,4]
[6,3,5,7,2,8,4,1,10,9,12,11]=>[11,12,9,10,1,4,8,2,7,5,3,6]
[6,3,5,7,2,8,4,1,10,11,12,9]=>[9,12,11,10,1,4,8,2,7,5,3,6]
[8,3,5,7,2,9,4,10,6,1,12,11]=>[11,12,1,6,10,4,9,2,7,5,3,8]
[10,3,5,7,2,9,4,11,6,12,8,1]=>[1,8,12,6,11,4,9,2,7,5,3,10]
[8,3,5,7,2,9,4,10,11,12,6,1]=>[1,6,12,11,10,4,9,2,7,5,3,8]
[6,3,5,7,2,8,9,10,4,1,12,11]=>[11,12,1,4,10,9,8,2,7,5,3,6]
[10,3,5,7,2,8,9,11,4,12,6,1]=>[1,6,12,4,11,9,8,2,7,5,3,10]
[6,3,5,9,2,8,10,11,12,4,7,1]=>[1,7,4,12,11,10,8,2,9,5,3,6]
[6,3,5,7,2,8,9,10,11,12,4,1]=>[1,4,12,11,10,9,8,2,7,5,3,6]
[4,3,5,6,7,8,2,1,10,9,12,11]=>[11,12,9,10,1,2,8,7,6,5,3,4]
[4,3,5,6,7,8,2,1,10,11,12,9]=>[9,12,11,10,1,2,8,7,6,5,3,4]
[8,3,5,6,7,9,2,10,4,1,12,11]=>[11,12,1,4,10,2,9,7,6,5,3,8]
[10,3,5,6,7,9,2,11,4,12,8,1]=>[1,8,12,4,11,2,9,7,6,5,3,10]
[8,3,5,6,7,9,2,10,11,12,4,1]=>[1,4,12,11,10,2,9,7,6,5,3,8]
[4,3,7,6,8,9,10,2,5,1,12,11]=>[11,12,1,5,2,10,9,8,6,7,3,4]
[10,3,7,6,8,9,11,2,5,12,4,1]=>[1,4,12,5,2,11,9,8,6,7,3,10]
[4,3,9,6,8,10,11,2,12,5,7,1]=>[1,7,5,12,2,11,10,8,6,9,3,4]
[4,3,7,6,8,9,10,11,12,2,5,1]=>[1,5,2,12,11,10,9,8,6,7,3,4]
[4,3,5,6,7,8,9,10,2,1,12,11]=>[11,12,1,2,10,9,8,7,6,5,3,4]
[10,3,5,6,7,8,9,11,2,12,4,1]=>[1,4,12,2,11,9,8,7,6,5,3,10]
[4,3,9,6,7,8,10,11,12,2,5,1]=>[1,5,2,12,11,10,8,7,6,9,3,4]
[4,3,5,8,7,9,10,11,2,12,6,1]=>[1,6,12,2,11,10,9,7,8,5,3,4]
[4,3,5,6,7,8,9,10,11,12,2,1]=>[1,2,12,11,10,9,8,7,6,5,3,4]
[2,3,4,5,6,1,10,9,11,12,8,7]=>[7,8,12,11,9,10,1,6,5,4,3,2]
[6,3,4,5,7,8,2,1,10,9,12,11]=>[11,12,9,10,1,2,8,7,5,4,3,6]
[6,3,4,5,7,8,2,1,10,11,12,9]=>[9,12,11,10,1,2,8,7,5,4,3,6]
[8,3,4,5,7,9,2,10,6,1,12,11]=>[11,12,1,6,10,2,9,7,5,4,3,8]
[10,3,4,5,7,9,2,11,6,12,8,1]=>[1,8,12,6,11,2,9,7,5,4,3,10]
[8,3,4,5,7,9,2,10,11,12,6,1]=>[1,6,12,11,10,2,9,7,5,4,3,8]
[6,3,4,5,7,8,9,10,2,1,12,11]=>[11,12,1,2,10,9,8,7,5,4,3,6]
[10,3,4,5,7,8,9,11,2,12,6,1]=>[1,6,12,2,11,9,8,7,5,4,3,10]
[6,3,4,5,9,8,10,11,12,2,7,1]=>[1,7,2,12,11,10,8,9,5,4,3,6]
[6,3,4,5,7,8,9,10,11,12,2,1]=>[1,2,12,11,10,9,8,7,5,4,3,6]
[2,5,4,6,7,3,8,1,10,9,12,11]=>[11,12,9,10,1,8,3,7,6,4,5,2]
[2,5,4,6,7,3,8,1,10,11,12,9]=>[9,12,11,10,1,8,3,7,6,4,5,2]
[8,5,4,6,7,3,9,10,2,1,12,11]=>[11,12,1,2,10,9,3,7,6,4,5,8]
[10,5,4,6,7,3,9,11,2,12,8,1]=>[1,8,12,2,11,9,3,7,6,4,5,10]
[8,5,4,6,7,3,9,10,11,12,2,1]=>[1,2,12,11,10,9,3,7,6,4,5,8]
[2,7,4,6,8,3,9,5,10,1,12,11]=>[11,12,1,10,5,9,3,8,6,4,7,2]
[10,7,4,6,8,3,9,5,11,12,2,1]=>[1,2,12,11,5,9,3,8,6,4,7,10]
[2,9,4,6,8,3,10,5,11,7,12,1]=>[1,12,7,11,5,10,3,8,6,4,9,2]
[2,7,4,6,8,3,9,10,11,5,12,1]=>[1,12,5,11,10,9,3,8,6,4,7,2]
[2,5,4,6,7,8,9,3,10,1,12,11]=>[11,12,1,10,3,9,8,7,6,4,5,2]
[10,5,4,6,7,8,9,3,11,12,2,1]=>[1,2,12,11,3,9,8,7,6,4,5,10]
[2,9,4,6,7,8,10,3,11,5,12,1]=>[1,12,5,11,3,10,8,7,6,4,9,2]
[2,5,4,8,7,9,10,11,3,6,12,1]=>[1,12,6,3,11,10,9,7,8,4,5,2]
[2,5,4,6,7,8,9,10,11,3,12,1]=>[1,12,3,11,10,9,8,7,6,4,5,2]
[8,3,4,5,6,7,9,10,2,1,12,11]=>[11,12,1,2,10,9,7,6,5,4,3,8]
[10,3,4,5,6,7,9,11,2,12,8,1]=>[1,8,12,2,11,9,7,6,5,4,3,10]
[8,3,4,5,6,7,9,10,11,12,2,1]=>[1,2,12,11,10,9,7,6,5,4,3,8]
[2,7,4,5,6,8,9,3,10,1,12,11]=>[11,12,1,10,3,9,8,6,5,4,7,2]
[10,7,4,5,6,8,9,3,11,12,2,1]=>[1,2,12,11,3,9,8,6,5,4,7,10]
[2,9,4,5,6,8,10,3,11,7,12,1]=>[1,12,7,11,3,10,8,6,5,4,9,2]
[2,7,4,5,6,8,9,10,11,3,12,1]=>[1,12,3,11,10,9,8,6,5,4,7,2]
[2,3,6,5,7,8,4,9,10,1,12,11]=>[11,12,1,10,9,4,8,7,5,6,3,2]
[10,3,6,5,7,8,4,9,11,12,2,1]=>[1,2,12,11,9,4,8,7,5,6,3,10]
[2,9,6,5,7,8,4,10,11,3,12,1]=>[1,12,3,11,10,4,8,7,5,6,9,2]
[2,3,8,5,7,9,4,10,6,11,12,1]=>[1,12,11,6,10,4,9,7,5,8,3,2]
[2,3,6,5,7,8,9,10,4,11,12,1]=>[1,12,11,4,10,9,8,7,5,6,3,2]
[10,3,4,5,6,7,8,9,11,12,2,1]=>[1,2,12,11,9,8,7,6,5,4,3,10]
[2,9,4,5,6,7,8,10,11,3,12,1]=>[1,12,3,11,10,8,7,6,5,4,9,2]
[2,3,8,5,6,7,9,10,4,11,12,1]=>[1,12,11,4,10,9,7,6,5,8,3,2]
[2,3,4,7,6,8,9,5,10,11,12,1]=>[1,12,11,10,5,9,8,6,7,4,3,2]
[2,12,11,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,11,12,2]
[3,2,5,4,7,6,9,8,1,10,11,12]=>[12,11,10,1,8,9,6,7,4,5,2,3]
[3,2,5,4,7,6,1,11,10,8,9,12]=>[12,9,8,10,11,1,6,7,4,5,2,3]
[3,2,5,4,7,6,1,8,9,10,11,12]=>[12,11,10,9,8,1,6,7,4,5,2,3]
[3,2,5,4,9,8,7,6,1,10,11,12]=>[12,11,10,1,6,7,8,9,4,5,2,3]
[3,2,5,4,1,9,8,11,10,6,7,12]=>[12,7,6,10,11,8,9,1,4,5,2,3]
[3,2,5,4,1,9,8,6,7,10,11,12]=>[12,11,10,7,6,8,9,1,4,5,2,3]
[3,2,5,4,1,11,10,9,8,6,7,12]=>[12,7,6,8,9,10,11,1,4,5,2,3]
[3,2,5,4,1,6,11,10,7,8,9,12]=>[12,9,8,7,10,11,6,1,4,5,2,3]
[3,2,5,4,1,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,1,4,5,2,3]
[3,2,7,6,5,4,9,8,1,10,11,12]=>[12,11,10,1,8,9,4,5,6,7,2,3]
[3,2,7,6,5,4,1,11,10,8,9,12]=>[12,9,8,10,11,1,4,5,6,7,2,3]
[3,2,7,6,5,4,1,8,9,10,11,12]=>[12,11,10,9,8,1,4,5,6,7,2,3]
[3,2,9,6,5,8,7,4,1,10,11,12]=>[12,11,10,1,4,7,8,5,6,9,2,3]
[3,2,1,7,6,9,8,11,10,4,5,12]=>[12,5,4,10,11,8,9,6,7,1,2,3]
[3,2,1,7,6,9,8,4,5,10,11,12]=>[12,11,10,5,4,8,9,6,7,1,2,3]
[3,2,1,7,6,11,10,9,8,4,5,12]=>[12,5,4,8,9,10,11,6,7,1,2,3]
[3,2,1,7,6,4,11,10,5,8,9,12]=>[12,9,8,5,10,11,4,6,7,1,2,3]
[3,2,1,7,6,4,5,8,9,10,11,12]=>[12,11,10,9,8,5,4,6,7,1,2,3]
[3,2,9,8,7,6,5,4,1,10,11,12]=>[12,11,10,1,4,5,6,7,8,9,2,3]
[3,2,1,9,8,7,6,11,10,4,5,12]=>[12,5,4,10,11,6,7,8,9,1,2,3]
[3,2,1,9,8,7,6,4,5,10,11,12]=>[12,11,10,5,4,6,7,8,9,1,2,3]
[3,2,1,11,8,7,10,9,6,4,5,12]=>[12,5,4,6,9,10,7,8,11,1,2,3]
[3,2,1,4,9,8,11,10,5,6,7,12]=>[12,7,6,5,10,11,8,9,4,1,2,3]
[3,2,1,4,9,8,5,6,7,10,11,12]=>[12,11,10,7,6,5,8,9,4,1,2,3]
[3,2,1,11,10,9,8,7,6,4,5,12]=>[12,5,4,6,7,8,9,10,11,1,2,3]
[3,2,1,4,11,10,9,8,5,6,7,12]=>[12,7,6,5,8,9,10,11,4,1,2,3]
[3,2,1,4,5,11,10,6,7,8,9,12]=>[12,9,8,7,6,10,11,5,4,1,2,3]
[3,2,1,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,1,2,3]
[5,4,3,2,7,6,9,8,1,10,11,12]=>[12,11,10,1,8,9,6,7,2,3,4,5]
[5,4,3,2,7,6,1,11,10,8,9,12]=>[12,9,8,10,11,1,6,7,2,3,4,5]
[5,4,3,2,7,6,1,8,9,10,11,12]=>[12,11,10,9,8,1,6,7,2,3,4,5]
[5,4,3,2,9,8,7,6,1,10,11,12]=>[12,11,10,1,6,7,8,9,2,3,4,5]
[5,4,3,2,1,9,8,11,10,6,7,12]=>[12,7,6,10,11,8,9,1,2,3,4,5]
[5,4,3,2,1,9,8,6,7,10,11,12]=>[12,11,10,7,6,8,9,1,2,3,4,5]
[5,4,3,2,1,11,10,9,8,6,7,12]=>[12,7,6,8,9,10,11,1,2,3,4,5]
[5,4,3,2,1,6,11,10,7,8,9,12]=>[12,9,8,7,10,11,6,1,2,3,4,5]
[5,4,3,2,1,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,1,2,3,4,5]
[7,4,3,6,5,2,9,8,1,10,11,12]=>[12,11,10,1,8,9,2,5,6,3,4,7]
[7,4,3,6,5,2,1,11,10,8,9,12]=>[12,9,8,10,11,1,2,5,6,3,4,7]
[7,4,3,6,5,2,1,8,9,10,11,12]=>[12,11,10,9,8,1,2,5,6,3,4,7]
[9,4,3,6,5,8,7,2,1,10,11,12]=>[12,11,10,1,2,7,8,5,6,3,4,9]
[1,5,4,7,6,9,8,11,10,2,3,12]=>[12,3,2,10,11,8,9,6,7,4,5,1]
[1,5,4,7,6,9,8,2,3,10,11,12]=>[12,11,10,3,2,8,9,6,7,4,5,1]
[1,5,4,7,6,11,10,9,8,2,3,12]=>[12,3,2,8,9,10,11,6,7,4,5,1]
[1,5,4,7,6,2,11,10,3,8,9,12]=>[12,9,8,3,10,11,2,6,7,4,5,1]
[1,5,4,7,6,2,3,8,9,10,11,12]=>[12,11,10,9,8,3,2,6,7,4,5,1]
[9,4,3,8,7,6,5,2,1,10,11,12]=>[12,11,10,1,2,5,6,7,8,3,4,9]
[1,5,4,9,8,7,6,11,10,2,3,12]=>[12,3,2,10,11,6,7,8,9,4,5,1]
[1,5,4,9,8,7,6,2,3,10,11,12]=>[12,11,10,3,2,6,7,8,9,4,5,1]
[1,5,4,11,8,7,10,9,6,2,3,12]=>[12,3,2,6,9,10,7,8,11,4,5,1]
[1,5,4,2,9,8,11,10,3,6,7,12]=>[12,7,6,3,10,11,8,9,2,4,5,1]
[1,5,4,2,9,8,3,6,7,10,11,12]=>[12,11,10,7,6,3,8,9,2,4,5,1]
[1,5,4,11,10,9,8,7,6,2,3,12]=>[12,3,2,6,7,8,9,10,11,4,5,1]
[1,5,4,2,11,10,9,8,3,6,7,12]=>[12,7,6,3,8,9,10,11,2,4,5,1]
[1,5,4,2,3,11,10,6,7,8,9,12]=>[12,9,8,7,6,10,11,3,2,4,5,1]
[1,5,4,2,3,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,3,2,4,5,1]
[7,6,5,4,3,2,9,8,1,10,11,12]=>[12,11,10,1,8,9,2,3,4,5,6,7]
[7,6,5,4,3,2,1,11,10,8,9,12]=>[12,9,8,10,11,1,2,3,4,5,6,7]
[9,6,5,4,3,8,7,2,1,10,11,12]=>[12,11,10,1,2,7,8,3,4,5,6,9]
[1,7,6,5,4,9,8,11,10,2,3,12]=>[12,3,2,10,11,8,9,4,5,6,7,1]
[1,7,6,5,4,9,8,2,3,10,11,12]=>[12,11,10,3,2,8,9,4,5,6,7,1]
[1,7,6,5,4,11,10,9,8,2,3,12]=>[12,3,2,8,9,10,11,4,5,6,7,1]
[1,7,6,5,4,2,11,10,3,8,9,12]=>[12,9,8,3,10,11,2,4,5,6,7,1]
[1,7,6,5,4,2,3,8,9,10,11,12]=>[12,11,10,9,8,3,2,4,5,6,7,1]
[9,8,5,4,7,6,3,2,1,10,11,12]=>[12,11,10,1,2,3,6,7,4,5,8,9]
[1,9,6,5,8,7,4,11,10,2,3,12]=>[12,3,2,10,11,4,7,8,5,6,9,1]
[1,9,6,5,8,7,4,2,3,10,11,12]=>[12,11,10,3,2,4,7,8,5,6,9,1]
[1,11,6,5,8,7,10,9,4,2,3,12]=>[12,3,2,4,9,10,7,8,5,6,11,1]
[1,2,7,6,9,8,11,10,3,4,5,12]=>[12,5,4,3,10,11,8,9,6,7,2,1]
[1,2,7,6,9,8,3,4,5,10,11,12]=>[12,11,10,5,4,3,8,9,6,7,2,1]
[1,11,6,5,10,9,8,7,4,2,3,12]=>[12,3,2,4,7,8,9,10,5,6,11,1]
[1,2,7,6,11,10,9,8,3,4,5,12]=>[12,5,4,3,8,9,10,11,6,7,2,1]
[1,2,7,6,3,11,10,4,5,8,9,12]=>[12,9,8,5,4,10,11,3,6,7,2,1]
[1,2,7,6,3,4,5,8,9,10,11,12]=>[12,11,10,9,8,5,4,3,6,7,2,1]
[9,8,7,6,5,4,3,2,1,10,11,12]=>[12,11,10,1,2,3,4,5,6,7,8,9]
[1,9,8,7,6,5,4,11,10,2,3,12]=>[12,3,2,10,11,4,5,6,7,8,9,1]
[1,9,8,7,6,5,4,2,3,10,11,12]=>[12,11,10,3,2,4,5,6,7,8,9,1]
[1,11,8,7,6,5,10,9,4,2,3,12]=>[12,3,2,4,9,10,5,6,7,8,11,1]
[1,2,9,8,7,6,11,10,3,4,5,12]=>[12,5,4,3,10,11,6,7,8,9,2,1]
[1,2,9,8,7,6,3,4,5,10,11,12]=>[12,11,10,5,4,3,6,7,8,9,2,1]
[1,11,10,7,6,9,8,5,4,2,3,12]=>[12,3,2,4,5,8,9,6,7,10,11,1]
[1,2,11,8,7,10,9,6,3,4,5,12]=>[12,5,4,3,6,9,10,7,8,11,2,1]
[1,2,3,9,8,11,10,4,5,6,7,12]=>[12,7,6,5,4,10,11,8,9,3,2,1]
[1,2,3,9,8,4,5,6,7,10,11,12]=>[12,11,10,7,6,5,4,8,9,3,2,1]
[1,11,10,9,8,7,6,5,4,2,3,12]=>[12,3,2,4,5,6,7,8,9,10,11,1]
[1,2,11,10,9,8,7,6,3,4,5,12]=>[12,5,4,3,6,7,8,9,10,11,2,1]
[1,2,3,11,10,9,8,4,5,6,7,12]=>[12,7,6,5,4,8,9,10,11,3,2,1]
[1,2,3,4,11,10,5,6,7,8,9,12]=>[12,9,8,7,6,5,10,11,4,3,2,1]
[11,2,3,4,5,6,7,8,9,12,1,10]=>[10,1,12,9,8,7,6,5,4,3,2,11]
[12,2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2,12]
[11,2,3,4,5,6,7,8,9,10,12,1]=>[1,12,10,9,8,7,6,5,4,3,2,11]
[11,12,9,10,7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7,10,9,12,11]
[11,12,9,10,7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7,10,9,12,11]
[11,12,9,10,7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7,10,9,12,11]
[11,12,9,10,7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7,10,9,12,11]
[11,12,9,10,7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7,10,9,12,11]
[11,12,9,10,7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7,10,9,12,11]
[11,12,9,10,7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7,10,9,12,11]
[11,12,9,10,7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7,10,9,12,11]
[11,12,9,10,7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7,10,9,12,11]
[11,12,9,10,7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7,10,9,12,11]
[11,12,9,10,7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7,10,9,12,11]
[11,12,9,10,7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7,10,9,12,11]
[11,12,9,10,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,10,9,12,11]
[11,12,9,7,10,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,10,7,9,12,11]
[11,12,9,7,10,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,10,7,9,12,11]
[11,12,9,7,10,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,10,7,9,12,11]
[11,12,9,7,10,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,10,7,9,12,11]
[11,12,9,7,10,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,10,7,9,12,11]
[11,12,9,7,10,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,10,7,9,12,11]
[11,12,9,7,10,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,10,7,9,12,11]
[11,12,9,7,10,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,10,7,9,12,11]
[11,12,9,7,10,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,10,7,9,12,11]
[11,12,9,7,10,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,10,7,9,12,11]
[11,12,9,7,10,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,10,7,9,12,11]
[11,12,9,7,10,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,10,7,9,12,11]
[11,12,9,7,10,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,10,7,9,12,11]
[11,12,9,7,10,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,10,7,9,12,11]
[11,12,9,7,5,10,8,6,3,4,1,2]=>[2,1,4,3,6,8,10,5,7,9,12,11]
[11,12,9,7,5,10,8,6,3,1,4,2]=>[2,4,1,3,6,8,10,5,7,9,12,11]
[11,12,9,7,5,10,8,3,6,4,1,2]=>[2,1,4,6,3,8,10,5,7,9,12,11]
[11,12,9,7,5,10,8,3,6,1,4,2]=>[2,4,1,6,3,8,10,5,7,9,12,11]
[11,12,9,7,5,10,8,3,1,6,4,2]=>[2,4,6,1,3,8,10,5,7,9,12,11]
[11,12,9,7,5,10,3,8,6,4,1,2]=>[2,1,4,6,8,3,10,5,7,9,12,11]
[11,12,9,7,5,10,3,8,6,1,4,2]=>[2,4,1,6,8,3,10,5,7,9,12,11]
[11,12,9,7,5,10,3,8,1,6,4,2]=>[2,4,6,1,8,3,10,5,7,9,12,11]
[11,12,9,7,5,10,3,1,8,6,4,2]=>[2,4,6,8,1,3,10,5,7,9,12,11]
[11,12,9,7,5,3,10,8,6,4,1,2]=>[2,1,4,6,8,10,3,5,7,9,12,11]
[11,12,9,7,5,3,10,8,6,1,4,2]=>[2,4,1,6,8,10,3,5,7,9,12,11]
[11,12,9,7,5,3,10,8,1,6,4,2]=>[2,4,6,1,8,10,3,5,7,9,12,11]
[11,12,9,7,5,3,10,1,8,6,4,2]=>[2,4,6,8,1,10,3,5,7,9,12,11]
[11,12,9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9,12,11]
[11,9,12,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,12,9,11]
[11,9,12,10,7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7,10,12,9,11]
[11,9,12,10,7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7,10,12,9,11]
[11,9,12,10,7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7,10,12,9,11]
[11,9,12,10,7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7,10,12,9,11]
[11,9,12,10,7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7,10,12,9,11]
[11,9,12,10,7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7,10,12,9,11]
[11,9,12,10,7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7,10,12,9,11]
[11,9,12,10,7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7,10,12,9,11]
[11,9,12,10,7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7,10,12,9,11]
[11,9,12,10,7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7,10,12,9,11]
[11,9,12,10,7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7,10,12,9,11]
[11,9,12,10,7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7,10,12,9,11]
[11,9,12,10,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,10,12,9,11]
[11,9,12,7,10,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,10,7,12,9,11]
[11,9,12,7,10,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,10,7,12,9,11]
[11,9,12,7,10,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,10,7,12,9,11]
[11,9,12,7,10,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,10,7,12,9,11]
[11,9,12,7,10,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,10,7,12,9,11]
[11,9,12,7,10,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,10,7,12,9,11]
[11,9,12,7,10,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,10,7,12,9,11]
[11,9,12,7,10,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,10,7,12,9,11]
[11,9,12,7,10,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,10,7,12,9,11]
[11,9,12,7,10,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,10,7,12,9,11]
[11,9,12,7,10,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,10,7,12,9,11]
[11,9,12,7,10,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,10,7,12,9,11]
[11,9,12,7,10,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,10,7,12,9,11]
[11,9,12,7,10,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,10,7,12,9,11]
[11,9,12,7,5,10,8,6,3,4,1,2]=>[2,1,4,3,6,8,10,5,7,12,9,11]
[11,9,12,7,5,10,8,6,3,1,4,2]=>[2,4,1,3,6,8,10,5,7,12,9,11]
[11,9,12,7,5,10,8,3,6,4,1,2]=>[2,1,4,6,3,8,10,5,7,12,9,11]
[11,9,12,7,5,10,8,3,6,1,4,2]=>[2,4,1,6,3,8,10,5,7,12,9,11]
[11,9,12,7,5,10,8,3,1,6,4,2]=>[2,4,6,1,3,8,10,5,7,12,9,11]
[11,9,12,7,5,10,3,8,6,4,1,2]=>[2,1,4,6,8,3,10,5,7,12,9,11]
[11,9,12,7,5,10,3,8,6,1,4,2]=>[2,4,1,6,8,3,10,5,7,12,9,11]
[11,9,12,7,5,10,3,8,1,6,4,2]=>[2,4,6,1,8,3,10,5,7,12,9,11]
[11,9,12,7,5,10,3,1,8,6,4,2]=>[2,4,6,8,1,3,10,5,7,12,9,11]
[11,9,12,7,5,3,10,8,6,4,1,2]=>[2,1,4,6,8,10,3,5,7,12,9,11]
[11,9,12,7,5,3,10,8,6,1,4,2]=>[2,4,1,6,8,10,3,5,7,12,9,11]
[11,9,12,7,5,3,10,8,1,6,4,2]=>[2,4,6,1,8,10,3,5,7,12,9,11]
[11,9,12,7,5,3,10,1,8,6,4,2]=>[2,4,6,8,1,10,3,5,7,12,9,11]
[11,9,12,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,12,9,11]
[11,9,7,12,10,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,10,12,7,9,11]
[11,9,7,12,10,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,10,12,7,9,11]
[11,9,7,12,10,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,10,12,7,9,11]
[11,9,7,12,10,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,10,12,7,9,11]
[11,9,7,12,10,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,10,12,7,9,11]
[11,9,7,12,10,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,10,12,7,9,11]
[11,9,7,12,10,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,10,12,7,9,11]
[11,9,7,12,10,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,10,12,7,9,11]
[11,9,7,12,10,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,10,12,7,9,11]
[11,9,7,12,10,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,10,12,7,9,11]
[11,9,7,12,10,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,10,12,7,9,11]
[11,9,7,12,10,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,10,12,7,9,11]
[11,9,7,12,10,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,10,12,7,9,11]
[11,9,7,12,10,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,10,12,7,9,11]
[11,9,7,12,5,10,8,6,3,4,1,2]=>[2,1,4,3,6,8,10,5,12,7,9,11]
[11,9,7,12,5,10,8,6,3,1,4,2]=>[2,4,1,3,6,8,10,5,12,7,9,11]
[11,9,7,12,5,10,8,3,6,4,1,2]=>[2,1,4,6,3,8,10,5,12,7,9,11]
[11,9,7,12,5,10,8,3,6,1,4,2]=>[2,4,1,6,3,8,10,5,12,7,9,11]
[11,9,7,12,5,10,8,3,1,6,4,2]=>[2,4,6,1,3,8,10,5,12,7,9,11]
[11,9,7,12,5,10,3,8,6,4,1,2]=>[2,1,4,6,8,3,10,5,12,7,9,11]
[11,9,7,12,5,10,3,8,6,1,4,2]=>[2,4,1,6,8,3,10,5,12,7,9,11]
[11,9,7,12,5,10,3,8,1,6,4,2]=>[2,4,6,1,8,3,10,5,12,7,9,11]
[11,9,7,12,5,10,3,1,8,6,4,2]=>[2,4,6,8,1,3,10,5,12,7,9,11]
[11,9,7,12,5,3,10,8,6,4,1,2]=>[2,1,4,6,8,10,3,5,12,7,9,11]
[11,9,7,12,5,3,10,8,6,1,4,2]=>[2,4,1,6,8,10,3,5,12,7,9,11]
[11,9,7,12,5,3,10,8,1,6,4,2]=>[2,4,6,1,8,10,3,5,12,7,9,11]
[11,9,7,12,5,3,10,1,8,6,4,2]=>[2,4,6,8,1,10,3,5,12,7,9,11]
[11,9,7,12,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,12,7,9,11]
[11,9,7,5,12,10,8,6,3,4,1,2]=>[2,1,4,3,6,8,10,12,5,7,9,11]
[11,9,7,5,12,10,8,6,3,1,4,2]=>[2,4,1,3,6,8,10,12,5,7,9,11]
[11,9,7,5,12,10,8,3,6,4,1,2]=>[2,1,4,6,3,8,10,12,5,7,9,11]
[11,9,7,5,12,10,8,3,6,1,4,2]=>[2,4,1,6,3,8,10,12,5,7,9,11]
[11,9,7,5,12,10,8,3,1,6,4,2]=>[2,4,6,1,3,8,10,12,5,7,9,11]
[11,9,7,5,12,10,3,8,6,4,1,2]=>[2,1,4,6,8,3,10,12,5,7,9,11]
[11,9,7,5,12,10,3,8,6,1,4,2]=>[2,4,1,6,8,3,10,12,5,7,9,11]
[11,9,7,5,12,10,3,8,1,6,4,2]=>[2,4,6,1,8,3,10,12,5,7,9,11]
[11,9,7,5,12,10,3,1,8,6,4,2]=>[2,4,6,8,1,3,10,12,5,7,9,11]
[11,9,7,5,12,3,10,8,6,4,1,2]=>[2,1,4,6,8,10,3,12,5,7,9,11]
[11,9,7,5,12,3,10,8,6,1,4,2]=>[2,4,1,6,8,10,3,12,5,7,9,11]
[11,9,7,5,12,3,10,8,1,6,4,2]=>[2,4,6,1,8,10,3,12,5,7,9,11]
[11,9,7,5,12,3,10,1,8,6,4,2]=>[2,4,6,8,1,10,3,12,5,7,9,11]
[11,9,7,5,12,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,12,5,7,9,11]
[11,9,7,5,3,12,10,8,6,4,1,2]=>[2,1,4,6,8,10,12,3,5,7,9,11]
[11,9,7,5,3,12,10,8,6,1,4,2]=>[2,4,1,6,8,10,12,3,5,7,9,11]
[11,9,7,5,3,12,10,8,1,6,4,2]=>[2,4,6,1,8,10,12,3,5,7,9,11]
[11,9,7,5,3,12,10,1,8,6,4,2]=>[2,4,6,8,1,10,12,3,5,7,9,11]
[11,9,7,5,3,12,1,10,8,6,4,2]=>[2,4,6,8,10,1,12,3,5,7,9,11]
[1,3,5,7,10,9,12,11,8,6,4,2]=>[2,4,6,8,11,12,9,10,7,5,3,1]
[1,3,5,8,7,11,12,10,9,6,4,2]=>[2,4,6,9,10,12,11,7,8,5,3,1]
[1,3,5,8,10,7,12,11,9,6,4,2]=>[2,4,6,9,11,12,7,10,8,5,3,1]
[1,3,5,9,8,7,12,11,10,6,4,2]=>[2,4,6,10,11,12,7,8,9,5,3,1]
[1,3,6,5,9,11,12,10,8,7,4,2]=>[2,4,7,8,10,12,11,9,5,6,3,1]
[1,3,6,5,10,9,12,11,8,7,4,2]=>[2,4,7,8,11,12,9,10,5,6,3,1]
[1,3,6,8,5,11,12,10,9,7,4,2]=>[2,4,7,9,10,12,11,5,8,6,3,1]
[1,3,6,8,10,5,12,11,9,7,4,2]=>[2,4,7,9,11,12,5,10,8,6,3,1]
[1,3,6,9,8,5,12,11,10,7,4,2]=>[2,4,7,10,11,12,5,8,9,6,3,1]
[1,3,7,6,5,11,12,10,9,8,4,2]=>[2,4,8,9,10,12,11,5,6,7,3,1]
[1,3,7,6,10,5,12,11,9,8,4,2]=>[2,4,8,9,11,12,5,10,6,7,3,1]
[1,3,7,9,6,5,12,11,10,8,4,2]=>[2,4,8,10,11,12,5,6,9,7,3,1]
[1,3,8,7,6,5,12,11,10,9,4,2]=>[2,4,9,10,11,12,5,6,7,8,3,1]
[1,4,3,7,9,11,12,10,8,6,5,2]=>[2,5,6,8,10,12,11,9,7,3,4,1]
[1,4,3,7,10,9,12,11,8,6,5,2]=>[2,5,6,8,11,12,9,10,7,3,4,1]
[1,4,3,8,7,11,12,10,9,6,5,2]=>[2,5,6,9,10,12,11,7,8,3,4,1]
[1,4,3,8,10,7,12,11,9,6,5,2]=>[2,5,6,9,11,12,7,10,8,3,4,1]
[1,4,3,9,8,7,12,11,10,6,5,2]=>[2,5,6,10,11,12,7,8,9,3,4,1]
[1,4,6,3,9,11,12,10,8,7,5,2]=>[2,5,7,8,10,12,11,9,3,6,4,1]
[1,4,6,3,10,9,12,11,8,7,5,2]=>[2,5,7,8,11,12,9,10,3,6,4,1]
[1,4,6,8,3,11,12,10,9,7,5,2]=>[2,5,7,9,10,12,11,3,8,6,4,1]
[1,4,6,8,10,3,12,11,9,7,5,2]=>[2,5,7,9,11,12,3,10,8,6,4,1]
[1,4,6,9,8,3,12,11,10,7,5,2]=>[2,5,7,10,11,12,3,8,9,6,4,1]
[1,4,7,6,3,11,12,10,9,8,5,2]=>[2,5,8,9,10,12,11,3,6,7,4,1]
[1,4,7,6,10,3,12,11,9,8,5,2]=>[2,5,8,9,11,12,3,10,6,7,4,1]
[1,4,7,9,6,3,12,11,10,8,5,2]=>[2,5,8,10,11,12,3,6,9,7,4,1]
[1,4,8,7,6,3,12,11,10,9,5,2]=>[2,5,9,10,11,12,3,6,7,8,4,1]
[1,5,4,3,9,11,12,10,8,7,6,2]=>[2,6,7,8,10,12,11,9,3,4,5,1]
[1,5,4,3,10,9,12,11,8,7,6,2]=>[2,6,7,8,11,12,9,10,3,4,5,1]
[1,5,4,8,3,11,12,10,9,7,6,2]=>[2,6,7,9,10,12,11,3,8,4,5,1]
[1,5,4,8,10,3,12,11,9,7,6,2]=>[2,6,7,9,11,12,3,10,8,4,5,1]
[1,5,4,9,8,3,12,11,10,7,6,2]=>[2,6,7,10,11,12,3,8,9,4,5,1]
[1,5,7,4,3,11,12,10,9,8,6,2]=>[2,6,8,9,10,12,11,3,4,7,5,1]
[1,5,7,4,10,3,12,11,9,8,6,2]=>[2,6,8,9,11,12,3,10,4,7,5,1]
[1,5,7,9,4,3,12,11,10,8,6,2]=>[2,6,8,10,11,12,3,4,9,7,5,1]
[1,5,8,7,4,3,12,11,10,9,6,2]=>[2,6,9,10,11,12,3,4,7,8,5,1]
[1,6,5,4,3,11,12,10,9,8,7,2]=>[2,7,8,9,10,12,11,3,4,5,6,1]
[1,6,5,4,10,3,12,11,9,8,7,2]=>[2,7,8,9,11,12,3,10,4,5,6,1]
[1,6,5,9,4,3,12,11,10,8,7,2]=>[2,7,8,10,11,12,3,4,9,5,6,1]
[1,6,8,5,4,3,12,11,10,9,7,2]=>[2,7,9,10,11,12,3,4,5,8,6,1]
[1,7,6,5,4,3,12,11,10,9,8,2]=>[2,8,9,10,11,12,3,4,5,6,7,1]
[2,1,5,7,9,11,12,10,8,6,4,3]=>[3,4,6,8,10,12,11,9,7,5,1,2]
[2,1,5,7,10,9,12,11,8,6,4,3]=>[3,4,6,8,11,12,9,10,7,5,1,2]
[2,1,5,8,7,11,12,10,9,6,4,3]=>[3,4,6,9,10,12,11,7,8,5,1,2]
[2,1,5,8,10,7,12,11,9,6,4,3]=>[3,4,6,9,11,12,7,10,8,5,1,2]
[2,1,5,9,8,7,12,11,10,6,4,3]=>[3,4,6,10,11,12,7,8,9,5,1,2]
[2,1,6,5,9,11,12,10,8,7,4,3]=>[3,4,7,8,10,12,11,9,5,6,1,2]
[2,1,6,5,10,9,12,11,8,7,4,3]=>[3,4,7,8,11,12,9,10,5,6,1,2]
[2,1,6,8,5,11,12,10,9,7,4,3]=>[3,4,7,9,10,12,11,5,8,6,1,2]
[2,1,6,8,10,5,12,11,9,7,4,3]=>[3,4,7,9,11,12,5,10,8,6,1,2]
[2,1,6,9,8,5,12,11,10,7,4,3]=>[3,4,7,10,11,12,5,8,9,6,1,2]
[2,1,7,6,5,11,12,10,9,8,4,3]=>[3,4,8,9,10,12,11,5,6,7,1,2]
[2,1,7,6,10,5,12,11,9,8,4,3]=>[3,4,8,9,11,12,5,10,6,7,1,2]
[2,1,7,9,6,5,12,11,10,8,4,3]=>[3,4,8,10,11,12,5,6,9,7,1,2]
[2,1,8,7,6,5,12,11,10,9,4,3]=>[3,4,9,10,11,12,5,6,7,8,1,2]
[2,4,1,7,9,11,12,10,8,6,5,3]=>[3,5,6,8,10,12,11,9,7,1,4,2]
[2,4,1,7,10,9,12,11,8,6,5,3]=>[3,5,6,8,11,12,9,10,7,1,4,2]
[2,4,1,8,7,11,12,10,9,6,5,3]=>[3,5,6,9,10,12,11,7,8,1,4,2]
[2,4,1,8,10,7,12,11,9,6,5,3]=>[3,5,6,9,11,12,7,10,8,1,4,2]
[2,4,1,9,8,7,12,11,10,6,5,3]=>[3,5,6,10,11,12,7,8,9,1,4,2]
[2,4,6,1,9,11,12,10,8,7,5,3]=>[3,5,7,8,10,12,11,9,1,6,4,2]
[2,4,6,1,10,9,12,11,8,7,5,3]=>[3,5,7,8,11,12,9,10,1,6,4,2]
[2,4,6,8,1,11,12,10,9,7,5,3]=>[3,5,7,9,10,12,11,1,8,6,4,2]
[2,4,6,8,10,1,12,11,9,7,5,3]=>[3,5,7,9,11,12,1,10,8,6,4,2]
[2,4,6,9,8,1,12,11,10,7,5,3]=>[3,5,7,10,11,12,1,8,9,6,4,2]
[2,4,7,6,1,11,12,10,9,8,5,3]=>[3,5,8,9,10,12,11,1,6,7,4,2]
[2,4,7,6,10,1,12,11,9,8,5,3]=>[3,5,8,9,11,12,1,10,6,7,4,2]
[2,4,7,9,6,1,12,11,10,8,5,3]=>[3,5,8,10,11,12,1,6,9,7,4,2]
[2,4,8,7,6,1,12,11,10,9,5,3]=>[3,5,9,10,11,12,1,6,7,8,4,2]
[2,5,4,1,9,11,12,10,8,7,6,3]=>[3,6,7,8,10,12,11,9,1,4,5,2]
[2,5,4,1,10,9,12,11,8,7,6,3]=>[3,6,7,8,11,12,9,10,1,4,5,2]
[2,5,4,8,1,11,12,10,9,7,6,3]=>[3,6,7,9,10,12,11,1,8,4,5,2]
[2,5,4,8,10,1,12,11,9,7,6,3]=>[3,6,7,9,11,12,1,10,8,4,5,2]
[2,5,4,9,8,1,12,11,10,7,6,3]=>[3,6,7,10,11,12,1,8,9,4,5,2]
[2,5,7,4,1,11,12,10,9,8,6,3]=>[3,6,8,9,10,12,11,1,4,7,5,2]
[2,5,7,4,10,1,12,11,9,8,6,3]=>[3,6,8,9,11,12,1,10,4,7,5,2]
[2,5,7,9,4,1,12,11,10,8,6,3]=>[3,6,8,10,11,12,1,4,9,7,5,2]
[2,5,8,7,4,1,12,11,10,9,6,3]=>[3,6,9,10,11,12,1,4,7,8,5,2]
[2,6,5,4,1,11,12,10,9,8,7,3]=>[3,7,8,9,10,12,11,1,4,5,6,2]
[2,6,5,4,10,1,12,11,9,8,7,3]=>[3,7,8,9,11,12,1,10,4,5,6,2]
[2,6,5,9,4,1,12,11,10,8,7,3]=>[3,7,8,10,11,12,1,4,9,5,6,2]
[2,6,8,5,4,1,12,11,10,9,7,3]=>[3,7,9,10,11,12,1,4,5,8,6,2]
[2,7,6,5,4,1,12,11,10,9,8,3]=>[3,8,9,10,11,12,1,4,5,6,7,2]
[3,2,1,7,9,11,12,10,8,6,5,4]=>[4,5,6,8,10,12,11,9,7,1,2,3]
[3,2,1,7,10,9,12,11,8,6,5,4]=>[4,5,6,8,11,12,9,10,7,1,2,3]
[3,2,1,8,7,11,12,10,9,6,5,4]=>[4,5,6,9,10,12,11,7,8,1,2,3]
[3,2,1,8,10,7,12,11,9,6,5,4]=>[4,5,6,9,11,12,7,10,8,1,2,3]
[3,2,1,9,8,7,12,11,10,6,5,4]=>[4,5,6,10,11,12,7,8,9,1,2,3]
[3,2,6,1,9,11,12,10,8,7,5,4]=>[4,5,7,8,10,12,11,9,1,6,2,3]
[3,2,6,1,10,9,12,11,8,7,5,4]=>[4,5,7,8,11,12,9,10,1,6,2,3]
[3,2,6,8,1,11,12,10,9,7,5,4]=>[4,5,7,9,10,12,11,1,8,6,2,3]
[3,2,6,8,10,1,12,11,9,7,5,4]=>[4,5,7,9,11,12,1,10,8,6,2,3]
[3,2,6,9,8,1,12,11,10,7,5,4]=>[4,5,7,10,11,12,1,8,9,6,2,3]
[3,2,7,6,1,11,12,10,9,8,5,4]=>[4,5,8,9,10,12,11,1,6,7,2,3]
[3,2,7,6,10,1,12,11,9,8,5,4]=>[4,5,8,9,11,12,1,10,6,7,2,3]
[3,2,7,9,6,1,12,11,10,8,5,4]=>[4,5,8,10,11,12,1,6,9,7,2,3]
[3,2,8,7,6,1,12,11,10,9,5,4]=>[4,5,9,10,11,12,1,6,7,8,2,3]
[3,5,2,1,9,11,12,10,8,7,6,4]=>[4,6,7,8,10,12,11,9,1,2,5,3]
[3,5,2,1,10,9,12,11,8,7,6,4]=>[4,6,7,8,11,12,9,10,1,2,5,3]
[3,5,2,8,1,11,12,10,9,7,6,4]=>[4,6,7,9,10,12,11,1,8,2,5,3]
[3,5,2,8,10,1,12,11,9,7,6,4]=>[4,6,7,9,11,12,1,10,8,2,5,3]
[3,5,2,9,8,1,12,11,10,7,6,4]=>[4,6,7,10,11,12,1,8,9,2,5,3]
[3,5,7,2,1,11,12,10,9,8,6,4]=>[4,6,8,9,10,12,11,1,2,7,5,3]
[3,5,7,2,10,1,12,11,9,8,6,4]=>[4,6,8,9,11,12,1,10,2,7,5,3]
[3,5,7,9,2,1,12,11,10,8,6,4]=>[4,6,8,10,11,12,1,2,9,7,5,3]
[3,5,8,7,2,1,12,11,10,9,6,4]=>[4,6,9,10,11,12,1,2,7,8,5,3]
[3,6,5,2,1,11,12,10,9,8,7,4]=>[4,7,8,9,10,12,11,1,2,5,6,3]
[3,6,5,2,10,1,12,11,9,8,7,4]=>[4,7,8,9,11,12,1,10,2,5,6,3]
[3,6,5,9,2,1,12,11,10,8,7,4]=>[4,7,8,10,11,12,1,2,9,5,6,3]
[3,6,8,5,2,1,12,11,10,9,7,4]=>[4,7,9,10,11,12,1,2,5,8,6,3]
[3,7,6,5,2,1,12,11,10,9,8,4]=>[4,8,9,10,11,12,1,2,5,6,7,3]
[4,3,2,1,9,11,12,10,8,7,6,5]=>[5,6,7,8,10,12,11,9,1,2,3,4]
[4,3,2,1,10,9,12,11,8,7,6,5]=>[5,6,7,8,11,12,9,10,1,2,3,4]
[4,3,2,8,1,11,12,10,9,7,6,5]=>[5,6,7,9,10,12,11,1,8,2,3,4]
[4,3,2,8,10,1,12,11,9,7,6,5]=>[5,6,7,9,11,12,1,10,8,2,3,4]
[4,3,2,9,8,1,12,11,10,7,6,5]=>[5,6,7,10,11,12,1,8,9,2,3,4]
[4,3,7,2,1,11,12,10,9,8,6,5]=>[5,6,8,9,10,12,11,1,2,7,3,4]
[4,3,7,2,10,1,12,11,9,8,6,5]=>[5,6,8,9,11,12,1,10,2,7,3,4]
[4,3,7,9,2,1,12,11,10,8,6,5]=>[5,6,8,10,11,12,1,2,9,7,3,4]
[4,3,8,7,2,1,12,11,10,9,6,5]=>[5,6,9,10,11,12,1,2,7,8,3,4]
[4,6,3,2,1,11,12,10,9,8,7,5]=>[5,7,8,9,10,12,11,1,2,3,6,4]
[4,6,3,2,10,1,12,11,9,8,7,5]=>[5,7,8,9,11,12,1,10,2,3,6,4]
[4,6,3,9,2,1,12,11,10,8,7,5]=>[5,7,8,10,11,12,1,2,9,3,6,4]
[4,6,8,3,2,1,12,11,10,9,7,5]=>[5,7,9,10,11,12,1,2,3,8,6,4]
[4,7,6,3,2,1,12,11,10,9,8,5]=>[5,8,9,10,11,12,1,2,3,6,7,4]
[5,4,3,2,1,11,12,10,9,8,7,6]=>[6,7,8,9,10,12,11,1,2,3,4,5]
[5,4,3,2,10,1,12,11,9,8,7,6]=>[6,7,8,9,11,12,1,10,2,3,4,5]
[5,4,3,9,2,1,12,11,10,8,7,6]=>[6,7,8,10,11,12,1,2,9,3,4,5]
[5,4,8,3,2,1,12,11,10,9,7,6]=>[6,7,9,10,11,12,1,2,3,8,4,5]
[5,7,4,3,2,1,12,11,10,9,8,6]=>[6,8,9,10,11,12,1,2,3,4,7,5]
[12,10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10,12]
[1,2,11,9,7,5,3,12,10,8,6,4]=>[4,6,8,10,12,3,5,7,9,11,2,1]
[3,4,11,9,7,5,1,12,10,8,6,2]=>[2,6,8,10,12,1,5,7,9,11,4,3]
[4,2,11,1,9,7,5,3,12,10,8,6]=>[6,8,10,12,3,5,7,9,1,11,2,4]
[1,2,3,4,11,9,7,5,12,10,8,6]=>[6,8,10,12,5,7,9,11,4,3,2,1]
[5,6,11,9,7,3,1,12,10,8,4,2]=>[2,4,8,10,12,1,3,7,9,11,6,5]
[5,1,6,2,11,9,7,3,12,10,8,4]=>[4,8,10,12,3,7,9,11,2,6,1,5]
[6,4,11,3,9,7,5,1,12,10,8,2]=>[2,8,10,12,1,5,7,9,3,11,4,6]
[6,4,2,11,9,1,7,5,3,12,10,8]=>[8,10,12,3,5,7,1,9,11,2,4,6]
[2,3,6,4,11,1,9,7,5,12,10,8]=>[8,10,12,5,7,9,1,11,4,6,3,2]
[3,4,5,6,11,9,7,1,12,10,8,2]=>[2,8,10,12,1,7,9,11,6,5,4,3]
[4,5,6,2,11,1,9,7,3,12,10,8]=>[8,10,12,3,7,9,1,11,2,6,5,4]
[5,3,6,1,2,4,11,9,7,12,10,8]=>[8,10,12,7,9,11,4,2,1,6,3,5]
[1,2,3,4,5,6,11,9,7,12,10,8]=>[8,10,12,7,9,11,6,5,4,3,2,1]
[7,8,11,9,5,3,1,12,10,6,4,2]=>[2,4,6,10,12,1,3,5,9,11,8,7]
[7,1,8,2,11,9,5,3,12,10,6,4]=>[4,6,10,12,3,5,9,11,2,8,1,7]
[7,3,8,4,11,9,5,1,12,10,6,2]=>[2,6,10,12,1,5,9,11,4,8,3,7]
[7,8,1,4,2,11,9,5,3,12,10,6]=>[6,10,12,3,5,9,11,2,4,1,8,7]
[1,2,7,3,8,4,11,9,5,12,10,6]=>[6,10,12,5,9,11,4,8,3,7,2,1]
[8,6,11,5,9,7,3,1,12,10,4,2]=>[2,4,10,12,1,3,7,9,5,11,6,8]
[8,6,1,11,5,2,9,7,3,12,10,4]=>[4,10,12,3,7,9,2,5,11,1,6,8]
[8,6,4,11,9,3,7,5,1,12,10,2]=>[2,10,12,1,5,7,3,9,11,4,6,8]
[8,6,4,2,11,9,7,1,5,3,12,10]=>[10,12,3,5,1,7,9,11,2,4,6,8]
[2,3,8,6,4,11,9,1,7,5,12,10]=>[10,12,5,7,1,9,11,4,6,8,3,2]
[4,5,8,6,11,3,9,7,1,12,10,2]=>[2,10,12,1,7,9,3,11,6,8,5,4]
[4,5,8,6,2,11,9,1,7,3,12,10]=>[10,12,3,7,1,9,11,2,6,8,5,4]
[5,3,8,2,6,4,11,1,9,7,12,10]=>[10,12,7,9,1,11,4,6,2,8,3,5]
[2,3,4,5,8,6,11,1,9,7,12,10]=>[10,12,7,9,1,11,6,8,5,4,3,2]
[5,6,7,8,11,9,3,1,12,10,4,2]=>[2,4,10,12,1,3,9,11,8,7,6,5]
[5,6,7,1,8,2,11,9,3,12,10,4]=>[4,10,12,3,9,11,2,8,1,7,6,5]
[6,7,8,4,11,3,9,5,1,12,10,2]=>[2,10,12,1,5,9,3,11,4,8,7,6]
[6,7,8,4,2,11,9,1,5,3,12,10]=>[10,12,3,5,1,9,11,2,4,8,7,6]
[6,2,7,3,8,4,11,1,9,5,12,10]=>[10,12,5,9,1,11,4,8,3,7,2,6]
[7,5,8,3,4,6,11,9,1,12,10,2]=>[2,10,12,1,9,11,6,4,3,8,5,7]
[7,5,8,4,6,2,11,1,9,3,12,10]=>[10,12,3,9,1,11,2,6,4,8,5,7]
[7,5,3,8,6,1,2,4,11,9,12,10]=>[10,12,9,11,4,2,1,6,8,3,5,7]
[3,4,7,5,8,1,2,6,11,9,12,10]=>[10,12,9,11,6,2,1,8,5,7,4,3]
[3,4,5,6,7,8,11,9,1,12,10,2]=>[2,10,12,1,9,11,8,7,6,5,4,3]
[4,5,6,7,8,2,11,1,9,3,12,10]=>[10,12,3,9,1,11,2,8,7,6,5,4]
[5,6,7,3,8,1,2,4,11,9,12,10]=>[10,12,9,11,4,2,1,8,3,7,6,5]
[6,4,7,1,2,3,5,8,11,9,12,10]=>[10,12,9,11,8,5,3,2,1,7,4,6]
[1,2,3,4,5,6,7,8,11,9,12,10]=>[10,12,9,11,8,7,6,5,4,3,2,1]
[9,10,11,7,5,3,1,12,8,6,4,2]=>[2,4,6,8,12,1,3,5,7,11,10,9]
[9,1,10,2,11,7,5,3,12,8,6,4]=>[4,6,8,12,3,5,7,11,2,10,1,9]
[9,3,10,4,11,7,5,1,12,8,6,2]=>[2,6,8,12,1,5,7,11,4,10,3,9]
[9,10,1,4,2,11,7,5,3,12,8,6]=>[6,8,12,3,5,7,11,2,4,1,10,9]
[1,2,9,3,10,4,11,7,5,12,8,6]=>[6,8,12,5,7,11,4,10,3,9,2,1]
[9,5,10,6,11,7,3,1,12,8,4,2]=>[2,4,8,12,1,3,7,11,6,10,5,9]
[9,5,1,10,6,2,11,7,3,12,8,4]=>[4,8,12,3,7,11,2,6,10,1,5,9]
[9,10,3,6,4,11,7,5,1,12,8,2]=>[2,8,12,1,5,7,11,4,6,3,10,9]
[9,10,6,4,1,2,11,7,5,3,12,8]=>[8,12,3,5,7,11,2,1,4,6,10,9]
[2,9,3,10,1,6,4,11,7,5,12,8]=>[8,12,5,7,11,4,6,1,10,3,9,2]
[3,4,9,5,10,6,11,7,1,12,8,2]=>[2,8,12,1,7,11,6,10,5,9,4,3]
[4,9,5,10,1,6,2,11,7,3,12,8]=>[8,12,3,7,11,2,6,1,10,5,9,4]
[9,5,1,2,3,10,6,4,11,7,12,8]=>[8,12,7,11,4,6,10,3,2,1,5,9]
[1,2,3,4,9,5,10,6,11,7,12,8]=>[8,12,7,11,6,10,5,9,4,3,2,1]
[10,8,11,7,9,5,3,1,12,6,4,2]=>[2,4,6,12,1,3,5,9,7,11,8,10]
[10,8,1,11,7,2,9,5,3,12,6,4]=>[4,6,12,3,5,9,2,7,11,1,8,10]
[10,8,3,11,7,4,9,5,1,12,6,2]=>[2,6,12,1,5,9,4,7,11,3,8,10]
[10,1,8,11,7,4,2,9,5,3,12,6]=>[6,12,3,5,9,2,4,7,11,8,1,10]
[1,2,10,8,3,11,7,4,9,5,12,6]=>[6,12,5,9,4,7,11,3,8,10,2,1]
[10,8,6,11,9,5,7,3,1,12,4,2]=>[2,4,12,1,3,7,5,9,11,6,8,10]
[10,8,6,1,11,9,5,2,7,3,12,4]=>[4,12,3,7,2,5,9,11,1,6,8,10]
[10,8,6,4,11,9,7,3,5,1,12,2]=>[2,12,1,5,3,7,9,11,4,6,8,10]
[10,8,6,4,2,11,9,7,5,1,3,12]=>[12,3,1,5,7,9,11,2,4,6,8,10]
[2,3,10,8,6,4,11,9,7,1,5,12]=>[12,5,1,7,9,11,4,6,8,10,3,2]
[4,5,10,8,6,11,9,3,7,1,12,2]=>[2,12,1,7,3,9,11,6,8,10,5,4]
[4,5,10,8,6,2,11,9,7,1,3,12]=>[12,3,1,7,9,11,2,6,8,10,5,4]
[5,3,10,2,8,6,4,11,9,1,7,12]=>[12,7,1,9,11,4,6,8,2,10,3,5]
[2,3,4,5,10,8,6,11,9,1,7,12]=>[12,7,1,9,11,6,8,10,5,4,3,2]
[6,7,10,8,11,5,9,3,1,12,4,2]=>[2,4,12,1,3,9,5,11,8,10,7,6]
[6,7,10,8,1,11,5,2,9,3,12,4]=>[4,12,3,9,2,5,11,1,8,10,7,6]
[6,7,10,8,4,11,9,3,5,1,12,2]=>[2,12,1,5,3,9,11,4,8,10,7,6]
[6,7,10,8,4,2,11,9,5,1,3,12]=>[12,3,1,5,9,11,2,4,8,10,7,6]
[6,2,7,3,10,8,4,11,9,1,5,12]=>[12,5,1,9,11,4,8,10,3,7,2,6]
[7,5,10,4,8,6,11,3,9,1,12,2]=>[2,12,1,9,3,11,6,8,4,10,5,7]
[7,5,10,4,8,6,2,11,9,1,3,12]=>[12,3,1,9,11,2,6,8,4,10,5,7]
[7,5,3,10,8,2,6,4,11,1,9,12]=>[12,9,1,11,4,6,2,8,10,3,5,7]
[3,4,7,5,10,2,8,6,11,1,9,12]=>[12,9,1,11,6,8,2,10,5,7,4,3]
[4,5,6,7,10,8,11,3,9,1,12,2]=>[2,12,1,9,3,11,8,10,7,6,5,4]
[4,5,6,7,10,8,2,11,9,1,3,12]=>[12,3,1,9,11,2,8,10,7,6,5,4]
[5,6,7,3,10,2,8,4,11,1,9,12]=>[12,9,1,11,4,8,2,10,3,7,6,5]
[6,4,7,2,3,5,10,8,11,1,9,12]=>[12,9,1,11,8,10,5,3,2,7,4,6]
[2,3,4,5,6,7,10,8,11,1,9,12]=>[12,9,1,11,8,10,7,6,5,4,3,2]
[7,8,9,10,11,5,3,1,12,6,4,2]=>[2,4,6,12,1,3,5,11,10,9,8,7]
[7,8,9,1,10,2,11,5,3,12,6,4]=>[4,6,12,3,5,11,2,10,1,9,8,7]
[7,8,9,3,10,4,11,5,1,12,6,2]=>[2,6,12,1,5,11,4,10,3,9,8,7]
[7,1,8,9,10,4,2,11,5,3,12,6]=>[6,12,3,5,11,2,4,10,9,8,1,7]
[8,9,10,6,11,5,7,3,1,12,4,2]=>[2,4,12,1,3,7,5,11,6,10,9,8]
[8,9,10,6,1,11,5,2,7,3,12,4]=>[4,12,3,7,2,5,11,1,6,10,9,8]
[8,9,10,6,4,11,7,3,5,1,12,2]=>[2,12,1,5,3,7,11,4,6,10,9,8]
[8,9,10,6,4,2,11,7,5,1,3,12]=>[12,3,1,5,7,11,2,4,6,10,9,8]
[8,2,9,3,10,6,4,11,7,1,5,12]=>[12,5,1,7,11,4,6,10,3,9,2,8]
[8,4,9,5,10,6,11,3,7,1,12,2]=>[2,12,1,7,3,11,6,10,5,9,4,8]
[8,4,9,5,10,6,2,11,7,1,3,12]=>[12,3,1,7,11,2,6,10,5,9,4,8]
[8,9,2,5,3,10,6,4,11,1,7,12]=>[12,7,1,11,4,6,10,3,5,2,9,8]
[2,3,8,4,9,5,10,6,11,1,7,12]=>[12,7,1,11,6,10,5,9,4,8,3,2]
[9,7,10,5,6,8,11,3,1,12,4,2]=>[2,4,12,1,3,11,8,6,5,10,7,9]
[9,7,10,5,6,1,8,2,11,3,12,4]=>[4,12,3,11,2,8,1,6,5,10,7,9]
[9,7,10,6,8,4,11,3,5,1,12,2]=>[2,12,1,5,3,11,4,8,6,10,7,9]
[9,7,10,6,8,4,2,11,5,1,3,12]=>[12,3,1,5,11,2,4,8,6,10,7,9]
[9,7,2,10,6,3,8,4,11,1,5,12]=>[12,5,1,11,4,8,3,6,10,2,7,9]
[9,7,5,10,8,3,4,6,11,1,12,2]=>[2,12,1,11,6,4,3,8,10,5,7,9]
[9,7,5,10,8,4,6,2,11,1,3,12]=>[12,3,1,11,2,6,4,8,10,5,7,9]
[9,7,5,3,10,8,6,1,2,4,11,12]=>[12,11,4,2,1,6,8,10,3,5,7,9]
[3,4,9,7,5,10,8,1,2,6,11,12]=>[12,11,6,2,1,8,10,5,7,9,4,3]
[5,6,9,7,10,3,4,8,11,1,12,2]=>[2,12,1,11,8,4,3,10,7,9,6,5]
[5,6,9,7,10,4,8,2,11,1,3,12]=>[12,3,1,11,2,8,4,10,7,9,6,5]
[5,6,9,7,3,10,8,1,2,4,11,12]=>[12,11,4,2,1,8,10,3,7,9,6,5]
[6,4,9,3,7,5,10,1,2,8,11,12]=>[12,11,8,2,1,10,5,7,3,9,4,6]
[3,4,5,6,9,7,10,1,2,8,11,12]=>[12,11,8,2,1,10,7,9,6,5,4,3]
[5,6,7,8,9,10,11,3,1,12,4,2]=>[2,4,12,1,3,11,10,9,8,7,6,5]
[5,6,7,8,9,1,10,2,11,3,12,4]=>[4,12,3,11,2,10,1,9,8,7,6,5]
[6,7,8,9,10,4,11,3,5,1,12,2]=>[2,12,1,5,3,11,4,10,9,8,7,6]
[6,7,8,9,10,4,2,11,5,1,3,12]=>[12,3,1,5,11,2,4,10,9,8,7,6]
[6,7,8,2,9,3,10,4,11,1,5,12]=>[12,5,1,11,4,10,3,9,2,8,7,6]
[7,8,9,5,10,3,4,6,11,1,12,2]=>[2,12,1,11,6,4,3,10,5,9,8,7]
[7,8,9,5,10,4,6,2,11,1,3,12]=>[12,3,1,11,2,6,4,10,5,9,8,7]
[7,8,9,5,3,10,6,1,2,4,11,12]=>[12,11,4,2,1,6,10,3,5,9,8,7]
[7,3,8,4,9,5,10,1,2,6,11,12]=>[12,11,6,2,1,10,5,9,4,8,3,7]
[8,6,9,3,4,5,7,10,11,1,12,2]=>[2,12,1,11,10,7,5,4,3,9,6,8]
[8,6,9,4,5,7,10,2,11,1,3,12]=>[12,3,1,11,2,10,7,5,4,9,6,8]
[8,6,9,5,7,3,10,1,2,4,11,12]=>[12,11,4,2,1,10,3,7,5,9,6,8]
[8,6,4,9,7,1,2,3,5,10,11,12]=>[12,11,10,5,3,2,1,7,9,4,6,8]
[4,5,8,6,9,1,2,3,7,10,11,12]=>[12,11,10,7,3,2,1,9,6,8,5,4]
[4,5,6,7,8,9,10,2,11,1,3,12]=>[12,3,1,11,2,10,9,8,7,6,5,4]
[5,6,7,8,9,3,10,1,2,4,11,12]=>[12,11,4,2,1,10,3,9,8,7,6,5]
[6,7,8,4,9,1,2,3,5,10,11,12]=>[12,11,10,5,3,2,1,9,4,8,7,6]
[7,5,8,1,2,3,4,6,9,10,11,12]=>[12,11,10,9,6,4,3,2,1,8,5,7]
[11,2,1,4,3,6,5,8,7,10,9,12]=>[12,9,10,7,8,5,6,3,4,1,2,11]
[11,2,1,4,3,6,5,10,9,8,7,12]=>[12,7,8,9,10,5,6,3,4,1,2,11]
[11,2,1,4,3,8,7,6,5,10,9,12]=>[12,9,10,5,6,7,8,3,4,1,2,11]
[11,2,1,4,3,10,7,6,9,8,5,12]=>[12,5,8,9,6,7,10,3,4,1,2,11]
[11,2,1,4,3,10,9,8,7,6,5,12]=>[12,5,6,7,8,9,10,3,4,1,2,11]
[11,2,1,6,5,4,3,8,7,10,9,12]=>[12,9,10,7,8,3,4,5,6,1,2,11]
[11,2,1,6,5,4,3,10,9,8,7,12]=>[12,7,8,9,10,3,4,5,6,1,2,11]
[11,2,1,8,5,4,7,6,3,10,9,12]=>[12,9,10,3,6,7,4,5,8,1,2,11]
[11,2,1,10,5,4,7,6,9,8,3,12]=>[12,3,8,9,6,7,4,5,10,1,2,11]
[11,2,1,10,5,4,9,8,7,6,3,12]=>[12,3,6,7,8,9,4,5,10,1,2,11]
[11,2,1,8,7,6,5,4,3,10,9,12]=>[12,9,10,3,4,5,6,7,8,1,2,11]
[11,2,1,10,7,6,5,4,9,8,3,12]=>[12,3,8,9,4,5,6,7,10,1,2,11]
[11,2,1,10,9,6,5,8,7,4,3,12]=>[12,3,4,7,8,5,6,9,10,1,2,11]
[11,2,1,10,9,8,7,6,5,4,3,12]=>[12,3,4,5,6,7,8,9,10,1,2,11]
[11,4,3,2,1,6,5,8,7,10,9,12]=>[12,9,10,7,8,5,6,1,2,3,4,11]
[11,4,3,2,1,6,5,10,9,8,7,12]=>[12,7,8,9,10,5,6,1,2,3,4,11]
[11,4,3,2,1,8,7,6,5,10,9,12]=>[12,9,10,5,6,7,8,1,2,3,4,11]
[11,4,3,2,1,10,7,6,9,8,5,12]=>[12,5,8,9,6,7,10,1,2,3,4,11]
[11,4,3,2,1,10,9,8,7,6,5,12]=>[12,5,6,7,8,9,10,1,2,3,4,11]
[11,6,3,2,5,4,1,8,7,10,9,12]=>[12,9,10,7,8,1,4,5,2,3,6,11]
[11,6,3,2,5,4,1,10,9,8,7,12]=>[12,7,8,9,10,1,4,5,2,3,6,11]
[11,8,3,2,5,4,7,6,1,10,9,12]=>[12,9,10,1,6,7,4,5,2,3,8,11]
[11,10,3,2,5,4,7,6,9,8,1,12]=>[12,1,8,9,6,7,4,5,2,3,10,11]
[11,10,3,2,5,4,9,8,7,6,1,12]=>[12,1,6,7,8,9,4,5,2,3,10,11]
[11,8,3,2,7,6,5,4,1,10,9,12]=>[12,9,10,1,4,5,6,7,2,3,8,11]
[11,10,3,2,7,6,5,4,9,8,1,12]=>[12,1,8,9,4,5,6,7,2,3,10,11]
[11,10,3,2,9,6,5,8,7,4,1,12]=>[12,1,4,7,8,5,6,9,2,3,10,11]
[11,10,3,2,9,8,7,6,5,4,1,12]=>[12,1,4,5,6,7,8,9,2,3,10,11]
[11,6,5,4,3,2,1,8,7,10,9,12]=>[12,9,10,7,8,1,2,3,4,5,6,11]
[11,6,5,4,3,2,1,10,9,8,7,12]=>[12,7,8,9,10,1,2,3,4,5,6,11]
[11,8,5,4,3,2,7,6,1,10,9,12]=>[12,9,10,1,6,7,2,3,4,5,8,11]
[11,10,5,4,3,2,7,6,9,8,1,12]=>[12,1,8,9,6,7,2,3,4,5,10,11]
[11,10,5,4,3,2,9,8,7,6,1,12]=>[12,1,6,7,8,9,2,3,4,5,10,11]
[11,8,7,4,3,6,5,2,1,10,9,12]=>[12,9,10,1,2,5,6,3,4,7,8,11]
[11,10,7,4,3,6,5,2,9,8,1,12]=>[12,1,8,9,2,5,6,3,4,7,10,11]
[11,10,9,4,3,6,5,8,7,2,1,12]=>[12,1,2,7,8,5,6,3,4,9,10,11]
[11,10,9,4,3,8,7,6,5,2,1,12]=>[12,1,2,5,6,7,8,3,4,9,10,11]
[11,8,7,6,5,4,3,2,1,10,9,12]=>[12,9,10,1,2,3,4,5,6,7,8,11]
[11,10,7,6,5,4,3,2,9,8,1,12]=>[12,1,8,9,2,3,4,5,6,7,10,11]
[11,10,9,6,5,4,3,8,7,2,1,12]=>[12,1,2,7,8,3,4,5,6,9,10,11]
[11,10,9,8,5,4,7,6,3,2,1,12]=>[12,1,2,3,6,7,4,5,8,9,10,11]
[3,1,2,4,5,6,7,8,9,10,12,11]=>[11,12,10,9,8,7,6,5,4,2,1,3]
[2,1,5,11,12,7,9,10,8,6,4,3]=>[3,4,6,8,10,9,7,12,11,5,1,2]
[1,11,4,12,3,7,9,10,8,6,5,2]=>[2,5,6,8,10,9,7,3,12,4,11,1]
[2,1,11,12,4,7,9,10,8,6,5,3]=>[3,5,6,8,10,9,7,4,12,11,1,2]
[3,11,9,12,2,10,1,7,8,6,5,4]=>[4,5,6,8,7,1,10,2,12,9,11,3]
[6,1,3,11,12,5,9,10,8,7,4,2]=>[2,4,7,8,10,9,5,12,11,3,1,6]
[11,2,6,12,1,5,9,10,8,7,4,3]=>[3,4,7,8,10,9,5,1,12,6,2,11]
[4,1,11,12,3,6,9,10,8,7,5,2]=>[2,5,7,8,10,9,6,3,12,11,1,4]
[11,2,12,1,4,6,9,10,8,7,5,3]=>[3,5,7,8,10,9,6,4,1,12,2,11]
[3,2,11,12,9,10,1,6,8,7,5,4]=>[4,5,7,8,6,1,10,9,12,11,2,3]
[5,1,11,12,4,9,10,3,8,7,6,2]=>[2,6,7,8,3,10,9,4,12,11,1,5]
[11,2,12,1,5,9,10,4,8,7,6,3]=>[3,6,7,8,4,10,9,5,1,12,2,11]
[11,3,12,2,9,10,1,5,8,7,6,4]=>[4,6,7,8,5,1,10,9,2,12,3,11]
[11,4,12,3,9,10,2,8,1,7,6,5]=>[5,6,7,1,8,2,10,9,3,12,4,11]
[1,3,5,8,11,12,7,10,9,6,4,2]=>[2,4,6,9,10,7,12,11,8,5,3,1]
[8,2,11,12,1,5,7,10,9,6,4,3]=>[3,4,6,9,10,7,5,1,12,11,2,8]
[1,4,8,11,12,3,7,10,9,6,5,2]=>[2,5,6,9,10,7,3,12,11,8,4,1]
[2,8,11,12,1,4,7,10,9,6,5,3]=>[3,5,6,9,10,7,4,1,12,11,8,2]
[3,2,11,12,8,10,1,7,9,6,5,4]=>[4,5,6,9,7,1,10,8,12,11,2,3]
[1,3,6,11,12,5,8,10,9,7,4,2]=>[2,4,7,9,10,8,5,12,11,6,3,1]
[2,6,11,12,1,5,8,10,9,7,4,3]=>[3,4,7,9,10,8,5,1,12,11,6,2]
[1,4,11,12,3,6,8,10,9,7,5,2]=>[2,5,7,9,10,8,6,3,12,11,4,1]
[2,11,12,1,4,6,8,10,9,7,5,3]=>[3,5,7,9,10,8,6,4,1,12,11,2]
[3,2,11,12,10,1,6,8,9,7,5,4]=>[4,5,7,9,8,6,1,10,12,11,2,3]
[5,4,11,12,1,10,3,8,9,7,6,2]=>[2,6,7,9,8,3,10,1,12,11,4,5]
[2,5,11,12,1,10,4,8,9,7,6,3]=>[3,6,7,9,8,4,10,1,12,11,5,2]
[11,3,12,2,10,1,5,8,9,7,6,4]=>[4,6,7,9,8,5,1,10,2,12,3,11]
[11,4,12,3,10,2,8,9,1,7,6,5]=>[5,6,7,1,9,8,2,10,3,12,4,11]
[1,3,7,11,12,6,10,5,9,8,4,2]=>[2,4,8,9,5,10,6,12,11,7,3,1]
[2,7,11,12,1,6,10,5,9,8,4,3]=>[3,4,8,9,5,10,6,1,12,11,7,2]
[1,4,11,12,3,7,10,6,9,8,5,2]=>[2,5,8,9,6,10,7,3,12,11,4,1]
[2,11,12,1,4,7,10,6,9,8,5,3]=>[3,5,8,9,6,10,7,4,1,12,11,2]
[3,11,12,2,7,10,1,6,9,8,5,4]=>[4,5,8,9,6,1,10,7,2,12,11,3]
[1,5,11,12,4,10,3,7,9,8,6,2]=>[2,6,8,9,7,3,10,4,12,11,5,1]
[2,11,12,1,5,10,4,7,9,8,6,3]=>[3,6,8,9,7,4,10,5,1,12,11,2]
[3,11,12,2,10,1,5,7,9,8,6,4]=>[4,6,8,9,7,5,1,10,2,12,11,3]
[11,4,12,3,10,2,9,1,7,8,6,5]=>[5,6,8,7,1,9,2,10,3,12,4,11]
[1,6,11,12,5,10,4,9,3,8,7,2]=>[2,7,8,3,9,4,10,5,12,11,6,1]
[2,11,12,1,6,10,5,9,4,8,7,3]=>[3,7,8,4,9,5,10,6,1,12,11,2]
[3,11,12,2,10,1,6,9,5,8,7,4]=>[4,7,8,5,9,6,1,10,2,12,11,3]
[4,11,12,3,10,2,9,1,6,8,7,5]=>[5,7,8,6,1,9,2,10,3,12,11,4]
[5,11,12,4,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,4,12,11,5]
[1,3,5,7,10,12,9,11,8,6,4,2]=>[2,4,6,8,11,9,12,10,7,5,3,1]
[2,1,10,12,5,7,9,11,8,6,4,3]=>[3,4,6,8,11,9,7,5,12,10,1,2]
[4,1,10,12,3,7,9,11,8,6,5,2]=>[2,5,6,8,11,9,7,3,12,10,1,4]
[10,2,12,1,4,7,9,11,8,6,5,3]=>[3,5,6,8,11,9,7,4,1,12,2,10]
[10,3,9,12,2,11,1,7,8,6,5,4]=>[4,5,6,8,7,1,11,2,12,9,3,10]
[1,3,6,10,12,5,9,11,8,7,4,2]=>[2,4,7,8,11,9,5,12,10,6,3,1]
[2,6,10,12,1,5,9,11,8,7,4,3]=>[3,4,7,8,11,9,5,1,12,10,6,2]
[1,4,10,12,3,6,9,11,8,7,5,2]=>[2,5,7,8,11,9,6,3,12,10,4,1]
[2,10,12,1,4,6,9,11,8,7,5,3]=>[3,5,7,8,11,9,6,4,1,12,10,2]
[10,3,12,2,9,11,1,6,8,7,5,4]=>[4,5,7,8,6,1,11,9,2,12,3,10]
[1,5,10,12,4,9,11,3,8,7,6,2]=>[2,6,7,8,3,11,9,4,12,10,5,1]
[2,10,12,1,5,9,11,4,8,7,6,3]=>[3,6,7,8,4,11,9,5,1,12,10,2]
[3,10,12,2,9,11,1,5,8,7,6,4]=>[4,6,7,8,5,1,11,9,2,12,10,3]
[4,10,12,3,9,11,2,8,1,7,6,5]=>[5,6,7,1,8,2,11,9,3,12,10,4]
[1,3,5,8,12,7,10,11,9,6,4,2]=>[2,4,6,9,11,10,7,12,8,5,3,1]
[8,2,12,1,5,7,10,11,9,6,4,3]=>[3,4,6,9,11,10,7,5,1,12,2,8]
[1,4,8,12,3,7,10,11,9,6,5,2]=>[2,5,6,9,11,10,7,3,12,8,4,1]
[2,8,12,1,4,7,10,11,9,6,5,3]=>[3,5,6,9,11,10,7,4,1,12,8,2]
[10,3,12,2,8,11,1,7,9,6,5,4]=>[4,5,6,9,7,1,11,8,2,12,3,10]
[1,3,6,12,5,8,10,11,9,7,4,2]=>[2,4,7,9,11,10,8,5,12,6,3,1]
[2,6,12,1,5,8,10,11,9,7,4,3]=>[3,4,7,9,11,10,8,5,1,12,6,2]
[1,4,12,3,6,8,10,11,9,7,5,2]=>[2,5,7,9,11,10,8,6,3,12,4,1]
[2,12,1,4,6,8,10,11,9,7,5,3]=>[3,5,7,9,11,10,8,6,4,1,12,2]
[10,3,12,2,11,1,6,8,9,7,5,4]=>[4,5,7,9,8,6,1,11,2,12,3,10]
[5,4,12,1,10,11,3,8,9,7,6,2]=>[2,6,7,9,8,3,11,10,1,12,4,5]
[2,5,12,1,10,11,4,8,9,7,6,3]=>[3,6,7,9,8,4,11,10,1,12,5,2]
[3,10,12,2,11,1,5,8,9,7,6,4]=>[4,6,7,9,8,5,1,11,2,12,10,3]
[4,10,12,3,11,2,8,9,1,7,6,5]=>[5,6,7,1,9,8,2,11,3,12,10,4]
[1,3,7,12,6,10,11,5,9,8,4,2]=>[2,4,8,9,5,11,10,6,12,7,3,1]
[2,7,12,1,6,10,11,5,9,8,4,3]=>[3,4,8,9,5,11,10,6,1,12,7,2]
[1,4,12,3,7,10,11,6,9,8,5,2]=>[2,5,8,9,6,11,10,7,3,12,4,1]
[2,12,1,4,7,10,11,6,9,8,5,3]=>[3,5,8,9,6,11,10,7,4,1,12,2]
[3,12,2,7,10,11,1,6,9,8,5,4]=>[4,5,8,9,6,1,11,10,7,2,12,3]
[1,5,12,4,10,11,3,7,9,8,6,2]=>[2,6,8,9,7,3,11,10,4,12,5,1]
[2,12,1,5,10,11,4,7,9,8,6,3]=>[3,6,8,9,7,4,11,10,5,1,12,2]
[3,12,2,10,11,1,5,7,9,8,6,4]=>[4,6,8,9,7,5,1,11,10,2,12,3]
[4,10,12,3,11,2,9,1,7,8,6,5]=>[5,6,8,7,1,9,2,11,3,12,10,4]
[1,6,12,5,10,11,4,9,3,8,7,2]=>[2,7,8,3,9,4,11,10,5,12,6,1]
[2,12,1,6,10,11,5,9,4,8,7,3]=>[3,7,8,4,9,5,11,10,6,1,12,2]
[3,12,2,10,11,1,6,9,5,8,7,4]=>[4,7,8,5,9,6,1,11,10,2,12,3]
[4,12,3,10,11,2,9,1,6,8,7,5]=>[5,7,8,6,1,9,2,11,10,3,12,4]
[5,12,4,10,11,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,11,10,4,12,5]
[1,3,5,9,12,8,11,7,10,6,4,2]=>[2,4,6,10,7,11,8,12,9,5,3,1]
[9,2,12,1,5,8,11,7,10,6,4,3]=>[3,4,6,10,7,11,8,5,1,12,2,9]
[1,4,9,12,3,8,11,7,10,6,5,2]=>[2,5,6,10,7,11,8,3,12,9,4,1]
[2,9,12,1,4,8,11,7,10,6,5,3]=>[3,5,6,10,7,11,8,4,1,12,9,2]
[3,9,12,2,8,11,1,7,10,6,5,4]=>[4,5,6,10,7,1,11,8,2,12,9,3]
[1,3,6,12,5,9,11,8,10,7,4,2]=>[2,4,7,10,8,11,9,5,12,6,3,1]
[2,6,12,1,5,9,11,8,10,7,4,3]=>[3,4,7,10,8,11,9,5,1,12,6,2]
[1,4,12,3,6,9,11,8,10,7,5,2]=>[2,5,7,10,8,11,9,6,3,12,4,1]
[2,12,1,4,6,9,11,8,10,7,5,3]=>[3,5,7,10,8,11,9,6,4,1,12,2]
[3,9,12,2,11,1,6,8,10,7,5,4]=>[4,5,7,10,8,6,1,11,2,12,9,3]
[1,5,12,4,9,11,3,8,10,7,6,2]=>[2,6,7,10,8,3,11,9,4,12,5,1]
[2,12,1,5,9,11,4,8,10,7,6,3]=>[3,6,7,10,8,4,11,9,5,1,12,2]
[3,12,2,9,11,1,5,8,10,7,6,4]=>[4,6,7,10,8,5,1,11,9,2,12,3]
[4,12,3,9,11,2,8,10,1,7,6,5]=>[5,6,7,1,10,8,2,11,9,3,12,4]
[1,3,7,12,6,11,5,9,10,8,4,2]=>[2,4,8,10,9,5,11,6,12,7,3,1]
[2,7,12,1,6,11,5,9,10,8,4,3]=>[3,4,8,10,9,5,11,6,1,12,7,2]
[1,4,12,3,7,11,6,9,10,8,5,2]=>[2,5,8,10,9,6,11,7,3,12,4,1]
[2,12,1,4,7,11,6,9,10,8,5,3]=>[3,5,8,10,9,6,11,7,4,1,12,2]
[3,12,2,7,11,1,6,9,10,8,5,4]=>[4,5,8,10,9,6,1,11,7,2,12,3]
[1,5,12,4,11,3,7,9,10,8,6,2]=>[2,6,8,10,9,7,3,11,4,12,5,1]
[2,12,1,5,11,4,7,9,10,8,6,3]=>[3,6,8,10,9,7,4,11,5,1,12,2]
[3,12,2,11,1,5,7,9,10,8,6,4]=>[4,6,8,10,9,7,5,1,11,2,12,3]
[4,12,3,9,11,2,10,1,7,8,6,5]=>[5,6,8,7,1,10,2,11,9,3,12,4]
[1,6,12,5,11,4,9,10,3,8,7,2]=>[2,7,8,3,10,9,4,11,5,12,6,1]
[2,12,1,6,11,5,9,10,4,8,7,3]=>[3,7,8,4,10,9,5,11,6,1,12,2]
[3,12,2,11,1,6,9,10,5,8,7,4]=>[4,7,8,5,10,9,6,1,11,2,12,3]
[4,12,3,11,2,9,10,1,6,8,7,5]=>[5,7,8,6,1,10,9,2,11,3,12,4]
[5,12,4,11,3,9,10,2,8,1,7,6]=>[6,7,1,8,2,10,9,3,11,4,12,5]
[1,3,8,12,7,11,6,10,5,9,4,2]=>[2,4,9,5,10,6,11,7,12,8,3,1]
[2,8,12,1,7,11,6,10,5,9,4,3]=>[3,4,9,5,10,6,11,7,1,12,8,2]
[1,4,12,3,8,11,7,10,6,9,5,2]=>[2,5,9,6,10,7,11,8,3,12,4,1]
[2,12,1,4,8,11,7,10,6,9,5,3]=>[3,5,9,6,10,7,11,8,4,1,12,2]
[3,12,2,8,11,1,7,10,6,9,5,4]=>[4,5,9,6,10,7,1,11,8,2,12,3]
[1,5,12,4,11,3,8,10,7,9,6,2]=>[2,6,9,7,10,8,3,11,4,12,5,1]
[2,12,1,5,11,4,8,10,7,9,6,3]=>[3,6,9,7,10,8,4,11,5,1,12,2]
[3,12,2,11,1,5,8,10,7,9,6,4]=>[4,6,9,7,10,8,5,1,11,2,12,3]
[4,12,3,11,2,8,10,1,7,9,6,5]=>[5,6,9,7,1,10,8,2,11,3,12,4]
[1,6,12,5,11,4,10,3,8,9,7,2]=>[2,7,9,8,3,10,4,11,5,12,6,1]
[2,12,1,6,11,5,10,4,8,9,7,3]=>[3,7,9,8,4,10,5,11,6,1,12,2]
[3,12,2,11,1,6,10,5,8,9,7,4]=>[4,7,9,8,5,10,6,1,11,2,12,3]
[4,12,3,11,2,10,1,6,8,9,7,5]=>[5,7,9,8,6,1,10,2,11,3,12,4]
[5,12,4,11,3,10,2,8,9,1,7,6]=>[6,7,1,9,8,2,10,3,11,4,12,5]
[1,7,12,6,11,5,10,4,9,3,8,2]=>[2,8,3,9,4,10,5,11,6,12,7,1]
[2,12,1,7,11,6,10,5,9,4,8,3]=>[3,8,4,9,5,10,6,11,7,1,12,2]
[3,12,2,11,1,7,10,6,9,5,8,4]=>[4,8,5,9,6,10,7,1,11,2,12,3]
[4,12,3,11,2,10,1,7,9,6,8,5]=>[5,8,6,9,7,1,10,2,11,3,12,4]
[5,12,4,11,3,10,2,9,1,7,8,6]=>[6,8,7,1,9,2,10,3,11,4,12,5]
[7,8,9,10,12,5,1,2,3,4,11,6]=>[6,11,4,3,2,1,5,12,10,9,8,7]
[7,8,9,11,4,12,1,2,3,10,5,6]=>[6,5,10,3,2,1,12,4,11,9,8,7]
[7,8,9,11,12,5,1,2,3,10,4,6]=>[6,4,10,3,2,1,5,12,11,9,8,7]
[7,8,9,12,4,5,1,2,3,10,11,6]=>[6,11,10,3,2,1,5,4,12,9,8,7]
[7,8,10,3,11,12,1,2,9,4,5,6]=>[6,5,4,9,2,1,12,11,3,10,8,7]
[7,8,10,3,12,5,1,2,9,4,11,6]=>[6,11,4,9,2,1,5,12,3,10,8,7]
[7,8,10,11,4,12,1,2,9,3,5,6]=>[6,5,3,9,2,1,12,4,11,10,8,7]
[7,8,10,11,12,5,1,2,9,3,4,6]=>[6,4,3,9,2,1,5,12,11,10,8,7]
[7,8,10,12,4,5,1,2,9,3,11,6]=>[6,11,3,9,2,1,5,4,12,10,8,7]
[7,8,11,3,4,12,1,2,9,10,5,6]=>[6,5,10,9,2,1,12,4,3,11,8,7]
[7,8,11,3,12,5,1,2,9,10,4,6]=>[6,4,10,9,2,1,5,12,3,11,8,7]
[7,8,11,12,4,5,1,2,9,10,3,6]=>[6,3,10,9,2,1,5,4,12,11,8,7]
[7,8,12,3,4,5,1,2,9,10,11,6]=>[6,11,10,9,2,1,5,4,3,12,8,7]
[7,9,2,10,11,12,1,8,3,4,5,6]=>[6,5,4,3,8,1,12,11,10,2,9,7]
[7,9,2,10,12,5,1,8,3,4,11,6]=>[6,11,4,3,8,1,5,12,10,2,9,7]
[7,9,2,11,4,12,1,8,3,10,5,6]=>[6,5,10,3,8,1,12,4,11,2,9,7]
[7,9,2,11,12,5,1,8,3,10,4,6]=>[6,4,10,3,8,1,5,12,11,2,9,7]
[7,9,2,12,4,5,1,8,3,10,11,6]=>[6,11,10,3,8,1,5,4,12,2,9,7]
[7,9,10,3,11,12,1,8,2,4,5,6]=>[6,5,4,2,8,1,12,11,3,10,9,7]
[7,9,10,3,12,5,1,8,2,4,11,6]=>[6,11,4,2,8,1,5,12,3,10,9,7]
[7,9,10,11,4,12,1,8,2,3,5,6]=>[6,5,3,2,8,1,12,4,11,10,9,7]
[7,9,10,11,12,5,1,8,2,3,4,6]=>[6,4,3,2,8,1,5,12,11,10,9,7]
[7,9,10,12,4,5,1,8,2,3,11,6]=>[6,11,3,2,8,1,5,4,12,10,9,7]
[7,9,11,3,4,12,1,8,2,10,5,6]=>[6,5,10,2,8,1,12,4,3,11,9,7]
[7,9,11,3,12,5,1,8,2,10,4,6]=>[6,4,10,2,8,1,5,12,3,11,9,7]
[7,9,11,12,4,5,1,8,2,10,3,6]=>[6,3,10,2,8,1,5,4,12,11,9,7]
[7,9,12,3,4,5,1,8,2,10,11,6]=>[6,11,10,2,8,1,5,4,3,12,9,7]
[7,10,2,3,11,12,1,8,9,4,5,6]=>[6,5,4,9,8,1,12,11,3,2,10,7]
[7,10,2,3,12,5,1,8,9,4,11,6]=>[6,11,4,9,8,1,5,12,3,2,10,7]
[7,10,2,11,4,12,1,8,9,3,5,6]=>[6,5,3,9,8,1,12,4,11,2,10,7]
[7,10,2,11,12,5,1,8,9,3,4,6]=>[6,4,3,9,8,1,5,12,11,2,10,7]
[7,10,2,12,4,5,1,8,9,3,11,6]=>[6,11,3,9,8,1,5,4,12,2,10,7]
[7,10,11,3,4,12,1,8,9,2,5,6]=>[6,5,2,9,8,1,12,4,3,11,10,7]
[7,10,11,3,12,5,1,8,9,2,4,6]=>[6,4,2,9,8,1,5,12,3,11,10,7]
[7,10,11,12,4,5,1,8,9,2,3,6]=>[6,3,2,9,8,1,5,4,12,11,10,7]
[7,10,12,3,4,5,1,8,9,2,11,6]=>[6,11,2,9,8,1,5,4,3,12,10,7]
[7,11,2,3,4,12,1,8,9,10,5,6]=>[6,5,10,9,8,1,12,4,3,2,11,7]
[7,11,2,3,12,5,1,8,9,10,4,6]=>[6,4,10,9,8,1,5,12,3,2,11,7]
[7,11,2,12,4,5,1,8,9,10,3,6]=>[6,3,10,9,8,1,5,4,12,2,11,7]
[7,11,12,3,4,5,1,8,9,10,2,6]=>[6,2,10,9,8,1,5,4,3,12,11,7]
[7,12,2,3,4,5,1,8,9,10,11,6]=>[6,11,10,9,8,1,5,4,3,2,12,7]
[8,1,9,10,11,12,7,2,3,4,5,6]=>[6,5,4,3,2,7,12,11,10,9,1,8]
[8,1,9,10,12,5,7,2,3,4,11,6]=>[6,11,4,3,2,7,5,12,10,9,1,8]
[8,1,9,11,4,12,7,2,3,10,5,6]=>[6,5,10,3,2,7,12,4,11,9,1,8]
[8,1,9,11,12,5,7,2,3,10,4,6]=>[6,4,10,3,2,7,5,12,11,9,1,8]
[8,1,9,12,4,5,7,2,3,10,11,6]=>[6,11,10,3,2,7,5,4,12,9,1,8]
[8,1,10,3,11,12,7,2,9,4,5,6]=>[6,5,4,9,2,7,12,11,3,10,1,8]
[8,1,10,3,12,5,7,2,9,4,11,6]=>[6,11,4,9,2,7,5,12,3,10,1,8]
[8,1,10,11,4,12,7,2,9,3,5,6]=>[6,5,3,9,2,7,12,4,11,10,1,8]
[8,1,10,11,12,5,7,2,9,3,4,6]=>[6,4,3,9,2,7,5,12,11,10,1,8]
[8,1,10,12,4,5,7,2,9,3,11,6]=>[6,11,3,9,2,7,5,4,12,10,1,8]
[8,1,11,3,4,12,7,2,9,10,5,6]=>[6,5,10,9,2,7,12,4,3,11,1,8]
[8,1,11,3,12,5,7,2,9,10,4,6]=>[6,4,10,9,2,7,5,12,3,11,1,8]
[8,1,11,12,4,5,7,2,9,10,3,6]=>[6,3,10,9,2,7,5,4,12,11,1,8]
[8,1,12,3,4,5,7,2,9,10,11,6]=>[6,11,10,9,2,7,5,4,3,12,1,8]
[8,9,2,10,11,12,7,1,3,4,5,6]=>[6,5,4,3,1,7,12,11,10,2,9,8]
[8,9,2,10,12,5,7,1,3,4,11,6]=>[6,11,4,3,1,7,5,12,10,2,9,8]
[8,9,2,11,4,12,7,1,3,10,5,6]=>[6,5,10,3,1,7,12,4,11,2,9,8]
[8,9,2,11,12,5,7,1,3,10,4,6]=>[6,4,10,3,1,7,5,12,11,2,9,8]
[8,9,2,12,4,5,7,1,3,10,11,6]=>[6,11,10,3,1,7,5,4,12,2,9,8]
[8,9,10,3,11,12,7,1,2,4,5,6]=>[6,5,4,2,1,7,12,11,3,10,9,8]
[8,9,10,3,12,5,7,1,2,4,11,6]=>[6,11,4,2,1,7,5,12,3,10,9,8]
[8,9,10,11,4,12,7,1,2,3,5,6]=>[6,5,3,2,1,7,12,4,11,10,9,8]
[8,9,10,11,12,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,12,11,10,9,8]
[8,9,10,12,4,5,7,1,2,3,11,6]=>[6,11,3,2,1,7,5,4,12,10,9,8]
[8,9,11,3,4,12,7,1,2,10,5,6]=>[6,5,10,2,1,7,12,4,3,11,9,8]
[8,9,11,3,12,5,7,1,2,10,4,6]=>[6,4,10,2,1,7,5,12,3,11,9,8]
[8,9,11,12,4,5,7,1,2,10,3,6]=>[6,3,10,2,1,7,5,4,12,11,9,8]
[8,9,12,3,4,5,7,1,2,10,11,6]=>[6,11,10,2,1,7,5,4,3,12,9,8]
[8,10,2,3,11,12,7,1,9,4,5,6]=>[6,5,4,9,1,7,12,11,3,2,10,8]
[8,10,2,3,12,5,7,1,9,4,11,6]=>[6,11,4,9,1,7,5,12,3,2,10,8]
[8,10,2,11,4,12,7,1,9,3,5,6]=>[6,5,3,9,1,7,12,4,11,2,10,8]
[8,10,2,11,12,5,7,1,9,3,4,6]=>[6,4,3,9,1,7,5,12,11,2,10,8]
[8,10,2,12,4,5,7,1,9,3,11,6]=>[6,11,3,9,1,7,5,4,12,2,10,8]
[8,10,11,3,4,12,7,1,9,2,5,6]=>[6,5,2,9,1,7,12,4,3,11,10,8]
[8,10,11,3,12,5,7,1,9,2,4,6]=>[6,4,2,9,1,7,5,12,3,11,10,8]
[8,10,11,12,4,5,7,1,9,2,3,6]=>[6,3,2,9,1,7,5,4,12,11,10,8]
[8,10,12,3,4,5,7,1,9,2,11,6]=>[6,11,2,9,1,7,5,4,3,12,10,8]
[8,11,2,3,4,12,7,1,9,10,5,6]=>[6,5,10,9,1,7,12,4,3,2,11,8]
[8,11,2,3,12,5,7,1,9,10,4,6]=>[6,4,10,9,1,7,5,12,3,2,11,8]
[8,11,2,12,4,5,7,1,9,10,3,6]=>[6,3,10,9,1,7,5,4,12,2,11,8]
[8,11,12,3,4,5,7,1,9,10,2,6]=>[6,2,10,9,1,7,5,4,3,12,11,8]
[8,12,2,3,4,5,7,1,9,10,11,6]=>[6,11,10,9,1,7,5,4,3,2,12,8]
[9,1,2,10,11,12,7,8,3,4,5,6]=>[6,5,4,3,8,7,12,11,10,2,1,9]
[9,1,2,10,12,5,7,8,3,4,11,6]=>[6,11,4,3,8,7,5,12,10,2,1,9]
[9,1,2,11,4,12,7,8,3,10,5,6]=>[6,5,10,3,8,7,12,4,11,2,1,9]
[9,1,2,11,12,5,7,8,3,10,4,6]=>[6,4,10,3,8,7,5,12,11,2,1,9]
[9,1,2,12,4,5,7,8,3,10,11,6]=>[6,11,10,3,8,7,5,4,12,2,1,9]
[9,1,10,3,11,12,7,8,2,4,5,6]=>[6,5,4,2,8,7,12,11,3,10,1,9]
[9,1,10,3,12,5,7,8,2,4,11,6]=>[6,11,4,2,8,7,5,12,3,10,1,9]
[9,1,10,11,4,12,7,8,2,3,5,6]=>[6,5,3,2,8,7,12,4,11,10,1,9]
[9,1,10,11,12,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,12,11,10,1,9]
[9,1,10,12,4,5,7,8,2,3,11,6]=>[6,11,3,2,8,7,5,4,12,10,1,9]
[9,1,11,3,4,12,7,8,2,10,5,6]=>[6,5,10,2,8,7,12,4,3,11,1,9]
[9,1,11,3,12,5,7,8,2,10,4,6]=>[6,4,10,2,8,7,5,12,3,11,1,9]
[9,1,11,12,4,5,7,8,2,10,3,6]=>[6,3,10,2,8,7,5,4,12,11,1,9]
[9,1,12,3,4,5,7,8,2,10,11,6]=>[6,11,10,2,8,7,5,4,3,12,1,9]
[9,10,2,3,11,12,7,8,1,4,5,6]=>[6,5,4,1,8,7,12,11,3,2,10,9]
[9,10,2,3,12,5,7,8,1,4,11,6]=>[6,11,4,1,8,7,5,12,3,2,10,9]
[9,10,2,11,4,12,7,8,1,3,5,6]=>[6,5,3,1,8,7,12,4,11,2,10,9]
[9,10,2,11,12,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,12,11,2,10,9]
[9,10,2,12,4,5,7,8,1,3,11,6]=>[6,11,3,1,8,7,5,4,12,2,10,9]
[9,10,11,3,4,12,7,8,1,2,5,6]=>[6,5,2,1,8,7,12,4,3,11,10,9]
[9,10,11,3,12,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,12,3,11,10,9]
[9,10,11,12,4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4,12,11,10,9]
[9,10,12,3,4,5,7,8,1,2,11,6]=>[6,11,2,1,8,7,5,4,3,12,10,9]
[9,11,2,3,4,12,7,8,1,10,5,6]=>[6,5,10,1,8,7,12,4,3,2,11,9]
[9,11,2,3,12,5,7,8,1,10,4,6]=>[6,4,10,1,8,7,5,12,3,2,11,9]
[9,11,2,12,4,5,7,8,1,10,3,6]=>[6,3,10,1,8,7,5,4,12,2,11,9]
[9,11,12,3,4,5,7,8,1,10,2,6]=>[6,2,10,1,8,7,5,4,3,12,11,9]
[9,12,2,3,4,5,7,8,1,10,11,6]=>[6,11,10,1,8,7,5,4,3,2,12,9]
[10,1,2,3,11,12,7,8,9,4,5,6]=>[6,5,4,9,8,7,12,11,3,2,1,10]
[10,1,2,3,12,5,7,8,9,4,11,6]=>[6,11,4,9,8,7,5,12,3,2,1,10]
[10,1,2,11,4,12,7,8,9,3,5,6]=>[6,5,3,9,8,7,12,4,11,2,1,10]
[10,1,2,11,12,5,7,8,9,3,4,6]=>[6,4,3,9,8,7,5,12,11,2,1,10]
[10,1,2,12,4,5,7,8,9,3,11,6]=>[6,11,3,9,8,7,5,4,12,2,1,10]
[10,1,11,3,4,12,7,8,9,2,5,6]=>[6,5,2,9,8,7,12,4,3,11,1,10]
[10,1,11,3,12,5,7,8,9,2,4,6]=>[6,4,2,9,8,7,5,12,3,11,1,10]
[10,1,11,12,4,5,7,8,9,2,3,6]=>[6,3,2,9,8,7,5,4,12,11,1,10]
[10,1,12,3,4,5,7,8,9,2,11,6]=>[6,11,2,9,8,7,5,4,3,12,1,10]
[10,11,2,3,4,12,7,8,9,1,5,6]=>[6,5,1,9,8,7,12,4,3,2,11,10]
[10,11,2,3,12,5,7,8,9,1,4,6]=>[6,4,1,9,8,7,5,12,3,2,11,10]
[10,11,2,12,4,5,7,8,9,1,3,6]=>[6,3,1,9,8,7,5,4,12,2,11,10]
[10,11,12,3,4,5,7,8,9,1,2,6]=>[6,2,1,9,8,7,5,4,3,12,11,10]
[10,12,2,3,4,5,7,8,9,1,11,6]=>[6,11,1,9,8,7,5,4,3,2,12,10]
[11,1,2,3,4,12,7,8,9,10,5,6]=>[6,5,10,9,8,7,12,4,3,2,1,11]
[11,1,2,3,12,5,7,8,9,10,4,6]=>[6,4,10,9,8,7,5,12,3,2,1,11]
[11,1,2,12,4,5,7,8,9,10,3,6]=>[6,3,10,9,8,7,5,4,12,2,1,11]
[11,1,12,3,4,5,7,8,9,10,2,6]=>[6,2,10,9,8,7,5,4,3,12,1,11]
[11,12,2,3,4,5,7,8,9,10,1,6]=>[6,1,10,9,8,7,5,4,3,2,12,11]
[11,10,12,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,12,10,11]
[11,10,9,12,8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8,12,9,10,11]
[11,10,9,12,7,8,6,4,5,2,3,1]=>[1,3,2,5,4,6,8,7,12,9,10,11]
[11,10,9,8,12,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,12,8,9,10,11]
[11,10,9,12,7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7,12,9,10,11]
[11,10,9,8,12,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,12,8,9,10,11]
[11,10,9,8,12,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,12,8,9,10,11]
[11,10,9,8,7,12,6,5,4,2,3,1]=>[1,3,2,4,5,6,12,7,8,9,10,11]
[11,10,9,12,7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7,12,9,10,11]
[11,10,9,8,12,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,12,8,9,10,11]
[11,10,9,8,12,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,12,8,9,10,11]
[11,10,9,8,7,12,6,5,3,4,2,1]=>[1,2,4,3,5,6,12,7,8,9,10,11]
[11,10,9,8,12,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,12,8,9,10,11]
[11,10,9,8,7,12,6,4,5,3,2,1]=>[1,2,3,5,4,6,12,7,8,9,10,11]
[11,10,9,8,7,12,5,6,4,3,2,1]=>[1,2,3,4,6,5,12,7,8,9,10,11]
[7,8,9,10,12,1,2,3,4,5,11,6]=>[6,11,5,4,3,2,1,12,10,9,8,7]
[1,3,5,7,12,9,10,11,8,6,4,2]=>[2,4,6,8,11,10,9,12,7,5,3,1]
[1,3,5,11,7,8,12,10,9,6,4,2]=>[2,4,6,9,10,12,8,7,11,5,3,1]
[1,3,5,10,12,7,8,11,9,6,4,2]=>[2,4,6,9,11,8,7,12,10,5,3,1]
[1,3,5,12,11,7,8,9,10,6,4,2]=>[2,4,6,10,9,8,7,11,12,5,3,1]
[1,3,9,5,6,11,12,10,8,7,4,2]=>[2,4,7,8,10,12,11,6,5,9,3,1]
[1,3,12,5,6,9,10,11,8,7,4,2]=>[2,4,7,8,11,10,9,6,5,12,3,1]
[1,3,8,11,5,6,12,10,9,7,4,2]=>[2,4,7,9,10,12,6,5,11,8,3,1]
[1,3,8,10,12,5,6,11,9,7,4,2]=>[2,4,7,9,11,6,5,12,10,8,3,1]
[1,3,8,12,9,5,11,6,10,7,4,2]=>[2,4,7,10,6,11,5,9,12,8,3,1]
[1,3,11,12,5,6,7,10,9,8,4,2]=>[2,4,8,9,10,7,6,5,12,11,3,1]
[1,3,10,12,5,11,6,7,9,8,4,2]=>[2,4,8,9,7,6,11,5,12,10,3,1]
[1,3,12,9,11,5,6,7,10,8,4,2]=>[2,4,8,10,7,6,5,11,9,12,3,1]
[1,3,12,11,10,5,6,7,8,9,4,2]=>[2,4,9,8,7,6,5,10,11,12,3,1]
[1,7,3,4,9,11,12,10,8,6,5,2]=>[2,5,6,8,10,12,11,9,4,3,7,1]
[1,7,3,4,12,9,10,11,8,6,5,2]=>[2,5,6,8,11,10,9,12,4,3,7,1]
[1,11,3,4,7,8,12,10,9,6,5,2]=>[2,5,6,9,10,12,8,7,4,3,11,1]
[1,10,3,4,12,7,8,11,9,6,5,2]=>[2,5,6,9,11,8,7,12,4,3,10,1]
[1,12,3,4,11,7,8,9,10,6,5,2]=>[2,5,6,10,9,8,7,11,4,3,12,1]
[1,6,9,3,4,11,12,10,8,7,5,2]=>[2,5,7,8,10,12,11,4,3,9,6,1]
[1,6,12,3,4,9,10,11,8,7,5,2]=>[2,5,7,8,11,10,9,4,3,12,6,1]
[1,6,8,11,3,4,12,10,9,7,5,2]=>[2,5,7,9,10,12,4,3,11,8,6,1]
[1,6,8,10,12,3,4,11,9,7,5,2]=>[2,5,7,9,11,4,3,12,10,8,6,1]
[1,8,3,12,9,6,11,4,10,7,5,2]=>[2,5,7,10,4,11,6,9,12,3,8,1]
[1,6,11,7,3,12,4,10,9,8,5,2]=>[2,5,8,9,10,4,12,3,7,11,6,1]
[1,10,3,12,6,7,11,4,9,8,5,2]=>[2,5,8,9,4,11,7,6,12,3,10,1]
[1,6,12,9,7,3,11,4,10,8,5,2]=>[2,5,8,10,4,11,3,7,9,12,6,1]
[1,6,12,11,7,3,8,10,4,9,5,2]=>[2,5,9,4,10,8,3,7,11,12,6,1]
[1,9,11,3,4,5,12,10,8,7,6,2]=>[2,6,7,8,10,12,5,4,3,11,9,1]
[1,12,9,3,4,5,10,11,8,7,6,2]=>[2,6,7,8,11,10,5,4,3,9,12,1]
[1,8,11,3,12,4,5,10,9,7,6,2]=>[2,6,7,9,10,5,4,12,3,11,8,1]
[1,8,10,3,12,11,4,5,9,7,6,2]=>[2,6,7,9,5,4,11,12,3,10,8,1]
[1,8,12,3,9,11,4,10,5,7,6,2]=>[2,6,7,5,10,4,11,9,3,12,8,1]
[1,11,7,12,3,4,5,10,9,8,6,2]=>[2,6,8,9,10,5,4,3,12,7,11,1]
[1,10,12,3,7,11,4,5,9,8,6,2]=>[2,6,8,9,5,4,11,7,3,12,10,1]
[1,9,12,7,11,3,4,5,10,8,6,2]=>[2,6,8,10,5,4,3,11,7,12,9,1]
[1,12,7,11,8,3,4,10,5,9,6,2]=>[2,6,9,5,10,4,3,8,11,7,12,1]
[1,11,12,10,3,4,5,6,9,8,7,2]=>[2,7,8,9,6,5,4,3,10,12,11,1]
[1,10,12,11,3,4,9,5,6,8,7,2]=>[2,7,8,6,5,9,4,3,11,12,10,1]
[1,12,9,11,3,10,4,5,6,8,7,2]=>[2,7,8,6,5,4,10,3,11,9,12,1]
[1,12,11,8,10,3,4,5,6,9,7,2]=>[2,7,9,6,5,4,3,10,8,11,12,1]
[1,12,11,10,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,10,11,12,1]
[5,1,2,7,9,11,12,10,8,6,4,3]=>[3,4,6,8,10,12,11,9,7,2,1,5]
[5,1,2,7,12,9,10,11,8,6,4,3]=>[3,4,6,8,11,10,9,12,7,2,1,5]
[5,1,2,11,7,8,12,10,9,6,4,3]=>[3,4,6,9,10,12,8,7,11,2,1,5]
[5,1,2,10,12,7,8,11,9,6,4,3]=>[3,4,6,9,11,8,7,12,10,2,1,5]
[5,1,2,12,11,7,8,9,10,6,4,3]=>[3,4,6,10,9,8,7,11,12,2,1,5]
[9,1,2,5,6,11,12,10,8,7,4,3]=>[3,4,7,8,10,12,11,6,5,2,1,9]
[12,1,2,5,6,9,10,11,8,7,4,3]=>[3,4,7,8,11,10,9,6,5,2,1,12]
[8,1,2,11,5,6,12,10,9,7,4,3]=>[3,4,7,9,10,12,6,5,11,2,1,8]
[8,1,2,10,12,5,6,11,9,7,4,3]=>[3,4,7,9,11,6,5,12,10,2,1,8]
[8,1,2,12,9,5,11,6,10,7,4,3]=>[3,4,7,10,6,11,5,9,12,2,1,8]
[11,1,2,12,5,6,7,10,9,8,4,3]=>[3,4,8,9,10,7,6,5,12,2,1,11]
[10,1,2,12,5,11,6,7,9,8,4,3]=>[3,4,8,9,7,6,11,5,12,2,1,10]
[12,1,2,9,11,5,6,7,10,8,4,3]=>[3,4,8,10,7,6,5,11,9,2,1,12]
[12,1,2,11,10,5,6,7,8,9,4,3]=>[3,4,9,8,7,6,5,10,11,2,1,12]
[4,7,1,2,9,11,12,10,8,6,5,3]=>[3,5,6,8,10,12,11,9,2,1,7,4]
[4,7,1,2,12,9,10,11,8,6,5,3]=>[3,5,6,8,11,10,9,12,2,1,7,4]
[4,11,1,2,7,8,12,10,9,6,5,3]=>[3,5,6,9,10,12,8,7,2,1,11,4]
[4,10,1,2,12,7,8,11,9,6,5,3]=>[3,5,6,9,11,8,7,12,2,1,10,4]
[4,12,1,2,11,7,8,9,10,6,5,3]=>[3,5,6,10,9,8,7,11,2,1,12,4]
[4,6,9,1,2,11,12,10,8,7,5,3]=>[3,5,7,8,10,12,11,2,1,9,6,4]
[4,6,12,1,2,9,10,11,8,7,5,3]=>[3,5,7,8,11,10,9,2,1,12,6,4]
[4,6,8,11,1,2,12,10,9,7,5,3]=>[3,5,7,9,10,12,2,1,11,8,6,4]
[4,6,8,10,12,1,2,11,9,7,5,3]=>[3,5,7,9,11,2,1,12,10,8,6,4]
[8,1,4,12,9,6,11,2,10,7,5,3]=>[3,5,7,10,2,11,6,9,12,4,1,8]
[6,1,11,7,4,12,2,10,9,8,5,3]=>[3,5,8,9,10,2,12,4,7,11,1,6]
[10,1,4,12,6,7,11,2,9,8,5,3]=>[3,5,8,9,2,11,7,6,12,4,1,10]
[6,1,12,9,7,4,11,2,10,8,5,3]=>[3,5,8,10,2,11,4,7,9,12,1,6]
[6,1,12,11,7,4,8,10,2,9,5,3]=>[3,5,9,2,10,8,4,7,11,12,1,6]
[4,9,5,1,11,2,12,10,8,7,6,3]=>[3,6,7,8,10,12,2,11,1,5,9,4]
[4,12,5,1,9,2,10,11,8,7,6,3]=>[3,6,7,8,11,10,2,9,1,5,12,4]
[8,1,11,4,5,12,2,10,9,7,6,3]=>[3,6,7,9,10,2,12,5,4,11,1,8]
[8,1,10,4,12,5,11,2,9,7,6,3]=>[3,6,7,9,2,11,5,12,4,10,1,8]
[8,1,12,4,9,5,11,10,2,7,6,3]=>[3,6,7,2,10,11,5,9,4,12,1,8]
[4,11,7,5,1,12,2,10,9,8,6,3]=>[3,6,8,9,10,2,12,1,5,7,11,4]
[10,1,12,4,7,5,11,2,9,8,6,3]=>[3,6,8,9,2,11,5,7,4,12,1,10]
[4,9,12,7,5,1,11,2,10,8,6,3]=>[3,6,8,10,2,11,1,5,7,12,9,4]
[4,12,7,11,5,1,8,10,2,9,6,3]=>[3,6,9,2,10,8,1,5,11,7,12,4]
[4,11,12,5,1,6,10,2,9,8,7,3]=>[3,7,8,9,2,10,6,1,5,12,11,4]
[4,10,12,5,1,11,6,9,2,8,7,3]=>[3,7,8,2,9,6,11,1,5,12,10,4]
[12,1,9,11,4,5,6,10,2,8,7,3]=>[3,7,8,2,10,6,5,4,11,9,1,12]
[4,12,11,8,5,1,6,10,2,9,7,3]=>[3,7,9,2,10,6,1,5,8,11,12,4]
[4,12,11,10,5,1,6,7,9,2,8,3]=>[3,8,2,9,7,6,1,5,10,11,12,4]
[7,9,1,2,3,11,12,10,8,6,5,4]=>[4,5,6,8,10,12,11,3,2,1,9,7]
[7,12,1,2,3,9,10,11,8,6,5,4]=>[4,5,6,8,11,10,9,3,2,1,12,7]
[11,7,1,2,3,8,12,10,9,6,5,4]=>[4,5,6,9,10,12,8,3,2,1,7,11]
[10,12,1,2,3,7,8,11,9,6,5,4]=>[4,5,6,9,11,8,7,3,2,1,12,10]
[12,11,1,2,3,7,8,9,10,6,5,4]=>[4,5,6,10,9,8,7,3,2,1,11,12]
[6,9,1,11,2,3,12,10,8,7,5,4]=>[4,5,7,8,10,12,3,2,11,1,9,6]
[6,12,1,9,2,3,10,11,8,7,5,4]=>[4,5,7,8,11,10,3,2,9,1,12,6]
[6,8,1,11,12,2,3,10,9,7,5,4]=>[4,5,7,9,10,3,2,12,11,1,8,6]
[6,8,1,10,12,11,2,3,9,7,5,4]=>[4,5,7,9,3,2,11,12,10,1,8,6]
[8,12,1,2,9,6,11,10,3,7,5,4]=>[4,5,7,3,10,11,6,9,2,1,12,8]
[6,11,1,7,12,2,10,3,9,8,5,4]=>[4,5,8,9,3,10,2,12,7,1,11,6]
[10,12,1,2,6,7,11,9,3,8,5,4]=>[4,5,8,3,9,11,7,6,2,1,12,10]
[6,12,1,9,7,11,2,10,3,8,5,4]=>[4,5,8,3,10,2,11,7,9,1,12,6]
[6,12,1,11,7,8,2,10,9,3,5,4]=>[4,5,3,9,10,2,8,7,11,1,12,6]
[9,5,11,1,2,3,12,10,8,7,6,4]=>[4,6,7,8,10,12,3,2,1,11,5,9]
[12,5,9,1,2,3,10,11,8,7,6,4]=>[4,6,7,8,11,10,3,2,1,9,5,12]
[8,11,1,5,12,2,3,10,9,7,6,4]=>[4,6,7,9,10,3,2,12,5,1,11,8]
[8,10,1,5,12,11,2,3,9,7,6,4]=>[4,6,7,9,3,2,11,12,5,1,10,8]
[8,12,1,9,2,11,5,10,3,7,6,4]=>[4,6,7,3,10,5,11,2,9,1,12,8]
[7,11,5,12,1,2,3,10,9,8,6,4]=>[4,6,8,9,10,3,2,1,12,5,11,7]
[10,7,1,12,5,11,2,3,9,8,6,4]=>[4,6,8,9,3,2,11,5,12,1,7,10]
[7,9,12,5,11,1,2,3,10,8,6,4]=>[4,6,8,10,3,2,1,11,5,12,9,7]
[7,8,12,11,5,1,2,10,3,9,6,4]=>[4,6,9,3,10,2,1,5,11,12,8,7]
[11,5,12,6,1,2,10,3,9,8,7,4]=>[4,7,8,9,3,10,2,1,6,12,5,11]
[10,12,1,11,5,2,6,9,3,8,7,4]=>[4,7,8,3,9,6,2,5,11,1,12,10]
[12,9,1,11,5,6,2,10,3,8,7,4]=>[4,7,8,3,10,2,6,5,11,1,9,12]
[8,12,11,5,6,1,2,10,3,9,7,4]=>[4,7,9,3,10,2,1,6,5,11,12,8]
[12,5,11,10,6,1,2,7,9,3,8,4]=>[4,8,3,9,7,2,1,6,10,11,5,12]
[9,11,12,1,2,3,4,10,8,7,6,5]=>[5,6,7,8,10,4,3,2,1,12,11,9]
[12,9,10,1,2,3,4,11,8,7,6,5]=>[5,6,7,8,11,4,3,2,1,10,9,12]
[8,11,12,1,2,10,3,4,9,7,6,5]=>[5,6,7,9,4,3,10,2,1,12,11,8]
[8,10,12,1,2,11,9,3,4,7,6,5]=>[5,6,7,4,3,9,11,2,1,12,10,8]
[8,12,9,1,2,11,10,3,7,4,6,5]=>[5,6,4,7,3,10,11,2,1,9,12,8]
[11,7,12,1,10,2,3,4,9,8,6,5]=>[5,6,8,9,4,3,2,10,1,12,7,11]
[10,12,7,1,2,11,9,3,4,8,6,5]=>[5,6,8,4,3,9,11,2,1,7,12,10]
[9,12,7,1,11,10,2,3,4,8,6,5]=>[5,6,8,4,3,2,10,11,1,7,12,9]
[12,7,11,1,8,10,2,3,9,4,6,5]=>[5,6,4,9,3,2,10,8,1,11,7,12]
[11,12,6,10,1,2,3,4,9,8,7,5]=>[5,7,8,9,4,3,2,1,10,6,12,11]
[10,12,11,1,6,2,9,3,4,8,7,5]=>[5,7,8,4,3,9,2,6,1,11,12,10]
[9,12,11,6,1,10,2,3,4,8,7,5]=>[5,7,8,4,3,2,10,1,6,11,12,9]
[12,8,11,6,10,1,2,3,4,9,7,5]=>[5,7,9,4,3,2,1,10,6,11,8,12]
[12,11,6,10,7,1,2,3,9,4,8,5]=>[5,8,4,9,3,2,1,7,10,6,11,12]
[11,12,10,9,1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1,9,10,12,11]
[10,12,11,9,1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1,9,11,12,10]
[12,9,11,10,1,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,1,10,11,9,12]
[12,11,8,10,1,9,2,3,4,5,7,6]=>[6,7,5,4,3,2,9,1,10,8,11,12]
[12,11,10,7,9,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,9,7,10,11,12]
[12,11,10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10,11,12]
[9,12,11,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,11,12,9]
[11,12,7,10,9,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,9,10,7,12,11]
[7,12,11,10,9,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,9,10,11,12,7]
[11,12,9,10,5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5,10,9,12,11]
[9,12,11,10,5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5,10,11,12,9]
[11,12,5,10,9,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,9,10,5,12,11]
[5,12,11,10,9,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,9,10,11,12,5]
[11,12,9,10,7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7,10,9,12,11]
[9,12,11,10,7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7,10,11,12,9]
[11,12,7,10,9,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,9,10,7,12,11]
[7,12,11,10,9,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,9,10,11,12,7]
[11,12,9,10,3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3,10,9,12,11]
[9,12,11,10,3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3,10,11,12,9]
[11,12,3,10,9,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,9,10,3,12,11]
[3,12,11,10,9,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,9,10,11,12,3]
[11,12,9,10,7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7,10,9,12,11]
[9,12,11,10,7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7,10,11,12,9]
[11,12,7,10,9,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,9,10,7,12,11]
[7,12,11,10,9,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,9,10,11,12,7]
[11,12,9,10,5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5,10,9,12,11]
[9,12,11,10,5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5,10,11,12,9]
[11,12,5,10,9,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,9,10,5,12,11]
[5,12,11,10,9,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,9,10,11,12,5]
[8,7,12,11,9,10,2,1,6,5,3,4]=>[4,3,5,6,1,2,10,9,11,12,7,8]
[11,12,9,10,7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7,10,9,12,11]
[9,12,11,10,7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7,10,11,12,9]
[11,12,7,10,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,10,7,12,11]
[11,12,9,10,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,10,9,12,11]
[9,12,11,10,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,10,11,12,9]
[11,12,1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1,12,11]
[1,2,3,5,7,9,11,12,10,8,6,4]=>[4,6,8,10,12,11,9,7,5,3,2,1]
[1,3,4,5,7,9,11,12,10,8,6,2]=>[2,6,8,10,12,11,9,7,5,4,3,1]
[1,4,2,5,7,9,11,12,10,8,3,6]=>[6,3,8,10,12,11,9,7,5,2,4,1]
[1,2,3,4,5,7,9,11,12,10,8,6]=>[6,8,10,12,11,9,7,5,4,3,2,1]
[1,3,5,6,7,9,11,12,10,8,4,2]=>[2,4,8,10,12,11,9,7,6,5,3,1]
[1,2,3,5,6,7,9,11,12,10,8,4]=>[4,8,10,12,11,9,7,6,5,3,2,1]
[1,3,6,4,7,9,11,12,10,5,8,2]=>[2,8,5,10,12,11,9,7,4,6,3,1]
[1,6,2,4,7,9,11,12,10,5,3,8]=>[8,3,5,10,12,11,9,7,4,2,6,1]
[1,2,3,6,4,7,9,11,12,10,5,8]=>[8,5,10,12,11,9,7,4,6,3,2,1]
[1,3,4,5,6,7,9,11,12,10,8,2]=>[2,8,10,12,11,9,7,6,5,4,3,1]
[1,4,2,5,6,7,9,11,12,10,3,8]=>[8,3,10,12,11,9,7,6,5,2,4,1]
[1,5,2,3,6,4,9,11,12,10,7,8]=>[8,7,10,12,11,9,4,6,3,2,5,1]
[1,2,3,4,5,6,7,9,11,12,10,8]=>[8,10,12,11,9,7,6,5,4,3,2,1]
[1,3,5,7,8,9,11,12,10,6,4,2]=>[2,4,6,10,12,11,9,8,7,5,3,1]
[1,2,3,5,7,8,9,11,12,10,6,4]=>[4,6,10,12,11,9,8,7,5,3,2,1]
[1,3,4,5,7,8,9,11,12,10,6,2]=>[2,6,10,12,11,9,8,7,5,4,3,1]
[1,4,2,5,7,8,9,11,12,10,3,6]=>[6,3,10,12,11,9,8,7,5,2,4,1]
[1,2,3,4,5,7,8,9,11,12,10,6]=>[6,10,12,11,9,8,7,5,4,3,2,1]
[1,3,5,8,6,9,11,12,7,10,4,2]=>[2,4,10,7,12,11,9,6,8,5,3,1]
[1,2,3,5,8,6,9,11,12,7,10,4]=>[4,10,7,12,11,9,6,8,5,3,2,1]
[1,3,8,4,6,9,11,12,7,5,10,2]=>[2,10,5,7,12,11,9,6,4,8,3,1]
[1,8,2,4,6,9,11,12,7,5,3,10]=>[10,3,5,7,12,11,9,6,4,2,8,1]
[1,2,3,8,4,6,9,11,12,7,5,10]=>[10,5,7,12,11,9,6,4,8,3,2,1]
[1,3,4,5,8,6,9,11,12,7,10,2]=>[2,10,7,12,11,9,6,8,5,4,3,1]
[1,4,2,5,8,6,9,11,12,7,3,10]=>[10,3,7,12,11,9,6,8,5,2,4,1]
[1,2,8,3,5,6,9,11,12,4,7,10]=>[10,7,4,12,11,9,6,5,3,8,2,1]
[1,2,3,4,5,8,6,9,11,12,7,10]=>[10,7,12,11,9,6,8,5,4,3,2,1]
[1,3,5,6,7,8,9,11,12,10,4,2]=>[2,4,10,12,11,9,8,7,6,5,3,1]
[1,2,3,5,6,7,8,9,11,12,10,4]=>[4,10,12,11,9,8,7,6,5,3,2,1]
[1,3,6,4,7,8,9,11,12,5,10,2]=>[2,10,5,12,11,9,8,7,4,6,3,1]
[1,6,2,4,7,8,9,11,12,5,3,10]=>[10,3,5,12,11,9,8,7,4,2,6,1]
[1,2,3,6,4,7,8,9,11,12,5,10]=>[10,5,12,11,9,8,7,4,6,3,2,1]
[1,3,7,4,5,8,6,11,12,9,10,2]=>[2,10,9,12,11,6,8,5,4,7,3,1]
[1,7,2,4,5,8,6,11,12,9,3,10]=>[10,3,9,12,11,6,8,5,4,2,7,1]
[1,7,2,5,3,8,6,11,12,4,9,10]=>[10,9,4,12,11,6,8,3,5,2,7,1]
[1,2,3,7,4,5,8,6,11,12,9,10]=>[10,9,12,11,6,8,5,4,7,3,2,1]
[1,3,4,5,6,7,8,9,11,12,10,2]=>[2,10,12,11,9,8,7,6,5,4,3,1]
[1,4,2,5,6,7,8,9,11,12,3,10]=>[10,3,12,11,9,8,7,6,5,2,4,1]
[1,5,2,3,6,7,8,4,11,12,9,10]=>[10,9,12,11,4,8,7,6,3,2,5,1]
[1,6,2,3,4,7,5,8,11,12,9,10]=>[10,9,12,11,8,5,7,4,3,2,6,1]
[1,3,5,7,9,10,11,12,8,6,4,2]=>[2,4,6,8,12,11,10,9,7,5,3,1]
[1,2,3,5,7,9,10,11,12,8,6,4]=>[4,6,8,12,11,10,9,7,5,3,2,1]
[1,3,4,5,7,9,10,11,12,8,6,2]=>[2,6,8,12,11,10,9,7,5,4,3,1]
[1,4,2,5,7,9,10,11,12,8,3,6]=>[6,3,8,12,11,10,9,7,5,2,4,1]
[1,2,3,4,5,7,9,10,11,12,8,6]=>[6,8,12,11,10,9,7,5,4,3,2,1]
[1,3,5,6,7,9,10,11,12,8,4,2]=>[2,4,8,12,11,10,9,7,6,5,3,1]
[1,2,3,5,6,7,9,10,11,12,8,4]=>[4,8,12,11,10,9,7,6,5,3,2,1]
[1,3,6,4,7,9,10,11,12,5,8,2]=>[2,8,5,12,11,10,9,7,4,6,3,1]
[1,6,2,4,7,9,10,11,12,5,3,8]=>[8,3,5,12,11,10,9,7,4,2,6,1]
[1,2,3,6,4,7,9,10,11,12,5,8]=>[8,5,12,11,10,9,7,4,6,3,2,1]
[1,3,4,5,6,7,9,10,11,12,8,2]=>[2,8,12,11,10,9,7,6,5,4,3,1]
[1,4,2,5,6,7,9,10,11,12,3,8]=>[8,3,12,11,10,9,7,6,5,2,4,1]
[1,5,2,3,6,4,9,10,11,12,7,8]=>[8,7,12,11,10,9,4,6,3,2,5,1]
[1,2,3,4,5,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,5,4,3,2,1]
[1,3,5,7,10,8,11,9,12,6,4,2]=>[2,4,6,12,9,11,8,10,7,5,3,1]
[1,2,3,5,7,10,8,11,9,12,6,4]=>[4,6,12,9,11,8,10,7,5,3,2,1]
[1,3,4,5,7,10,8,11,9,12,6,2]=>[2,6,12,9,11,8,10,7,5,4,3,1]
[1,4,2,5,7,10,8,11,9,12,3,6]=>[6,3,12,9,11,8,10,7,5,2,4,1]
[1,2,3,4,5,7,10,8,11,9,12,6]=>[6,12,9,11,8,10,7,5,4,3,2,1]
[1,3,5,10,6,8,11,9,7,12,4,2]=>[2,4,12,7,9,11,8,6,10,5,3,1]
[1,2,3,5,10,6,8,11,9,7,12,4]=>[4,12,7,9,11,8,6,10,5,3,2,1]
[1,3,10,4,6,8,11,9,7,5,12,2]=>[2,12,5,7,9,11,8,6,4,10,3,1]
[1,10,2,4,6,8,11,9,7,5,3,12]=>[12,3,5,7,9,11,8,6,4,2,10,1]
[1,2,3,10,4,6,8,11,9,7,5,12]=>[12,5,7,9,11,8,6,4,10,3,2,1]
[1,3,4,5,10,6,8,11,9,7,12,2]=>[2,12,7,9,11,8,6,10,5,4,3,1]
[1,4,2,5,10,6,8,11,9,7,3,12]=>[12,3,7,9,11,8,6,10,5,2,4,1]
[1,2,10,3,5,6,8,11,9,4,7,12]=>[12,7,4,9,11,8,6,5,3,10,2,1]
[1,2,3,4,5,10,6,8,11,9,7,12]=>[12,7,9,11,8,6,10,5,4,3,2,1]
[1,3,5,6,7,10,8,11,9,12,4,2]=>[2,4,12,9,11,8,10,7,6,5,3,1]
[1,2,3,5,6,7,10,8,11,9,12,4]=>[4,12,9,11,8,10,7,6,5,3,2,1]
[1,3,6,4,7,10,8,11,9,5,12,2]=>[2,12,5,9,11,8,10,7,4,6,3,1]
[1,6,2,4,7,10,8,11,9,5,3,12]=>[12,3,5,9,11,8,10,7,4,2,6,1]
[1,2,3,6,4,7,10,8,11,9,5,12]=>[12,5,9,11,8,10,7,4,6,3,2,1]
[1,3,4,10,5,7,8,11,6,9,12,2]=>[2,12,9,6,11,8,7,5,10,4,3,1]
[1,4,2,10,5,7,8,11,6,9,3,12]=>[12,3,9,6,11,8,7,5,10,2,4,1]
[1,2,10,5,3,7,8,11,6,4,9,12]=>[12,9,4,6,11,8,7,3,5,10,2,1]
[1,2,3,4,10,5,7,8,11,6,9,12]=>[12,9,6,11,8,7,5,10,4,3,2,1]
[1,3,4,5,6,7,10,8,11,9,12,2]=>[2,12,9,11,8,10,7,6,5,4,3,1]
[1,4,2,5,6,7,10,8,11,9,3,12]=>[12,3,9,11,8,10,7,6,5,2,4,1]
[1,5,2,3,6,7,10,8,11,4,9,12]=>[12,9,4,11,8,10,7,6,3,2,5,1]
[1,2,3,10,4,6,7,5,11,8,9,12]=>[12,9,8,11,5,7,6,4,10,3,2,1]
[1,2,3,4,5,6,7,10,8,11,9,12]=>[12,9,11,8,10,7,6,5,4,3,2,1]
[1,3,5,7,8,9,10,11,12,6,4,2]=>[2,4,6,12,11,10,9,8,7,5,3,1]
[1,2,3,5,7,8,9,10,11,12,6,4]=>[4,6,12,11,10,9,8,7,5,3,2,1]
[1,3,4,5,7,8,9,10,11,12,6,2]=>[2,6,12,11,10,9,8,7,5,4,3,1]
[1,4,2,5,7,8,9,10,11,12,3,6]=>[6,3,12,11,10,9,8,7,5,2,4,1]
[1,3,5,8,6,9,10,11,7,12,4,2]=>[2,4,12,7,11,10,9,6,8,5,3,1]
[1,2,3,5,8,6,9,10,11,7,12,4]=>[4,12,7,11,10,9,6,8,5,3,2,1]
[1,3,8,4,6,9,10,11,7,5,12,2]=>[2,12,5,7,11,10,9,6,4,8,3,1]
[1,8,2,4,6,9,10,11,7,5,3,12]=>[12,3,5,7,11,10,9,6,4,2,8,1]
[1,2,3,8,4,6,9,10,11,7,5,12]=>[12,5,7,11,10,9,6,4,8,3,2,1]
[1,3,4,5,8,6,9,10,11,7,12,2]=>[2,12,7,11,10,9,6,8,5,4,3,1]
[1,4,2,5,8,6,9,10,11,7,3,12]=>[12,3,7,11,10,9,6,8,5,2,4,1]
[1,2,8,3,5,6,9,10,11,4,7,12]=>[12,7,4,11,10,9,6,5,3,8,2,1]
[1,2,3,4,5,8,6,9,10,11,7,12]=>[12,7,11,10,9,6,8,5,4,3,2,1]
[1,3,5,9,6,7,10,8,11,12,4,2]=>[2,4,12,11,8,10,7,6,9,5,3,1]
[1,2,3,5,9,6,7,10,8,11,12,4]=>[4,12,11,8,10,7,6,9,5,3,2,1]
[1,3,9,4,6,7,10,8,11,5,12,2]=>[2,12,5,11,8,10,7,6,4,9,3,1]
[1,9,2,4,6,7,10,8,11,5,3,12]=>[12,3,5,11,8,10,7,6,4,2,9,1]
[1,2,3,9,4,6,7,10,8,11,5,12]=>[12,5,11,8,10,7,6,4,9,3,2,1]
[1,3,9,4,7,5,10,8,6,11,12,2]=>[2,12,11,6,8,10,5,7,4,9,3,1]
[1,9,2,4,7,5,10,8,6,11,3,12]=>[12,3,11,6,8,10,5,7,4,2,9,1]
[1,9,2,7,3,5,10,8,6,4,11,12]=>[12,11,4,6,8,10,5,3,7,2,9,1]
[1,2,3,9,4,7,5,10,8,6,11,12]=>[12,11,6,8,10,5,7,4,9,3,2,1]
[1,3,4,5,9,6,7,10,8,11,12,2]=>[2,12,11,8,10,7,6,9,5,4,3,1]
[1,4,2,5,9,6,7,10,8,11,3,12]=>[12,3,11,8,10,7,6,9,5,2,4,1]
[1,5,2,3,9,6,7,10,8,4,11,12]=>[12,11,4,8,10,7,6,9,3,2,5,1]
[1,2,9,3,6,4,7,10,5,8,11,12]=>[12,11,8,5,10,7,4,6,3,9,2,1]
[1,2,3,4,5,9,6,7,10,8,11,12]=>[12,11,8,10,7,6,9,5,4,3,2,1]
[1,3,5,6,7,8,9,10,11,12,4,2]=>[2,4,12,11,10,9,8,7,6,5,3,1]
[1,2,3,5,6,7,8,9,10,11,12,4]=>[4,12,11,10,9,8,7,6,5,3,2,1]
[1,3,6,4,7,8,9,10,11,5,12,2]=>[2,12,5,11,10,9,8,7,4,6,3,1]
[1,6,2,4,7,8,9,10,11,5,3,12]=>[12,3,5,11,10,9,8,7,4,2,6,1]
[1,2,3,6,4,7,8,9,10,11,5,12]=>[12,5,11,10,9,8,7,4,6,3,2,1]
[1,3,7,4,5,8,9,10,6,11,12,2]=>[2,12,11,6,10,9,8,5,4,7,3,1]
[1,7,2,4,5,8,9,10,6,11,3,12]=>[12,3,11,6,10,9,8,5,4,2,7,1]
[1,7,2,5,3,8,9,10,6,4,11,12]=>[12,11,4,6,10,9,8,3,5,2,7,1]
[1,2,3,7,4,5,8,9,10,6,11,12]=>[12,11,6,10,9,8,5,4,7,3,2,1]
[1,3,8,4,5,6,9,7,10,11,12,2]=>[2,12,11,10,7,9,6,5,4,8,3,1]
[1,8,2,4,5,6,9,7,10,11,3,12]=>[12,3,11,10,7,9,6,5,4,2,8,1]
[1,8,2,5,3,6,9,7,10,4,11,12]=>[12,11,4,10,7,9,6,3,5,2,8,1]
[1,8,2,6,3,4,9,7,5,10,11,12]=>[12,11,10,5,7,9,4,3,6,2,8,1]
[1,2,3,8,4,5,6,9,7,10,11,12]=>[12,11,10,7,9,6,5,4,8,3,2,1]
[1,4,2,5,6,7,8,9,10,11,3,12]=>[12,3,11,10,9,8,7,6,5,2,4,1]
[1,5,2,3,6,7,8,9,10,4,11,12]=>[12,11,4,10,9,8,7,6,3,2,5,1]
[1,6,2,3,4,7,8,9,5,10,11,12]=>[12,11,10,5,9,8,7,4,3,2,6,1]
[1,7,2,3,4,5,8,6,9,10,11,12]=>[12,11,10,9,6,8,5,4,3,2,7,1]
[11,12,10,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,10,12,11]
[6,7,8,9,10,11,12,5,4,3,2,1]=>[1,2,3,4,5,12,11,10,9,8,7,6]
[1,2,3,4,5,6,7,9,10,8,11,12]=>[12,11,8,10,9,7,6,5,4,3,2,1]
[1,2,3,4,5,7,8,6,9,10,11,12]=>[12,11,10,9,6,8,7,5,4,3,2,1]
[1,2,3,4,5,7,8,6,9,11,12,10]=>[10,12,11,9,6,8,7,5,4,3,2,1]
[1,2,3,4,5,7,8,9,10,6,11,12]=>[12,11,6,10,9,8,7,5,4,3,2,1]
[1,2,3,4,5,7,9,10,8,6,11,12]=>[12,11,6,8,10,9,7,5,4,3,2,1]
[1,2,3,4,5,7,9,10,8,11,12,6]=>[6,12,11,8,10,9,7,5,4,3,2,1]
[1,2,3,5,6,4,7,8,9,10,11,12]=>[12,11,10,9,8,7,4,6,5,3,2,1]
[1,2,3,5,6,4,7,8,9,11,12,10]=>[10,12,11,9,8,7,4,6,5,3,2,1]
[1,2,3,5,6,4,7,9,10,8,11,12]=>[12,11,8,10,9,7,4,6,5,3,2,1]
[1,2,3,5,6,4,7,9,11,12,10,8]=>[8,10,12,11,9,7,4,6,5,3,2,1]
[1,2,3,5,6,7,8,4,9,10,11,12]=>[12,11,10,9,4,8,7,6,5,3,2,1]
[1,2,3,5,6,7,8,9,10,4,11,12]=>[12,11,4,10,9,8,7,6,5,3,2,1]
[1,2,3,5,6,7,9,10,8,4,11,12]=>[12,11,4,8,10,9,7,6,5,3,2,1]
[1,2,3,5,6,7,9,10,8,11,12,4]=>[4,12,11,8,10,9,7,6,5,3,2,1]
[1,2,3,5,7,8,6,4,9,10,11,12]=>[12,11,10,9,4,6,8,7,5,3,2,1]
[1,2,3,5,7,8,6,4,9,11,12,10]=>[10,12,11,9,4,6,8,7,5,3,2,1]
[1,2,3,5,7,8,6,9,10,4,11,12]=>[12,11,4,10,9,6,8,7,5,3,2,1]
[1,2,3,5,7,8,6,9,10,11,12,4]=>[4,12,11,10,9,6,8,7,5,3,2,1]
[1,2,3,5,7,8,6,9,11,12,10,4]=>[4,10,12,11,9,6,8,7,5,3,2,1]
[1,2,3,5,7,8,9,10,6,4,11,12]=>[12,11,4,6,10,9,8,7,5,3,2,1]
[1,2,3,5,7,8,9,10,6,11,12,4]=>[4,12,11,6,10,9,8,7,5,3,2,1]
[1,2,3,5,7,9,10,8,6,4,11,12]=>[12,11,4,6,8,10,9,7,5,3,2,1]
[1,2,3,5,7,9,10,8,6,11,12,4]=>[4,12,11,6,8,10,9,7,5,3,2,1]
[1,2,3,5,7,9,10,8,11,12,6,4]=>[4,6,12,11,8,10,9,7,5,3,2,1]
[1,3,4,2,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,2,4,3,1]
[1,3,4,2,5,6,7,8,9,11,12,10]=>[10,12,11,9,8,7,6,5,2,4,3,1]
[1,3,4,2,5,6,7,9,10,8,11,12]=>[12,11,8,10,9,7,6,5,2,4,3,1]
[1,3,4,2,5,6,7,9,11,12,10,8]=>[8,10,12,11,9,7,6,5,2,4,3,1]
[1,3,4,2,5,7,8,6,9,10,11,12]=>[12,11,10,9,6,8,7,5,2,4,3,1]
[1,3,4,2,5,7,8,9,10,6,11,12]=>[12,11,6,10,9,8,7,5,2,4,3,1]
[1,3,4,2,5,7,8,9,10,11,12,6]=>[6,12,11,10,9,8,7,5,2,4,3,1]
[1,3,4,2,5,7,8,9,11,12,10,6]=>[6,10,12,11,9,8,7,5,2,4,3,1]
[1,3,4,2,5,7,9,10,8,6,11,12]=>[12,11,6,8,10,9,7,5,2,4,3,1]
[1,3,4,2,5,7,9,10,8,11,12,6]=>[6,12,11,8,10,9,7,5,2,4,3,1]
[1,3,4,2,5,7,9,10,11,12,8,6]=>[6,8,12,11,10,9,7,5,2,4,3,1]
[1,3,4,2,5,7,9,11,12,10,8,6]=>[6,8,10,12,11,9,7,5,2,4,3,1]
[1,3,4,5,6,2,7,8,9,10,11,12]=>[12,11,10,9,8,7,2,6,5,4,3,1]
[1,3,4,5,6,2,7,8,9,11,12,10]=>[10,12,11,9,8,7,2,6,5,4,3,1]
[1,3,4,5,6,2,7,9,10,8,11,12]=>[12,11,8,10,9,7,2,6,5,4,3,1]
[1,3,4,5,6,2,7,9,10,11,12,8]=>[8,12,11,10,9,7,2,6,5,4,3,1]
[1,3,4,5,6,2,7,9,11,12,10,8]=>[8,10,12,11,9,7,2,6,5,4,3,1]
[1,3,4,5,6,7,8,2,9,10,11,12]=>[12,11,10,9,2,8,7,6,5,4,3,1]
[1,3,4,5,6,7,8,2,9,11,12,10]=>[10,12,11,9,2,8,7,6,5,4,3,1]
[1,3,4,5,6,7,8,9,10,2,11,12]=>[12,11,2,10,9,8,7,6,5,4,3,1]
[1,3,4,5,6,7,9,10,8,2,11,12]=>[12,11,2,8,10,9,7,6,5,4,3,1]
[1,3,4,5,6,7,9,10,8,11,12,2]=>[2,12,11,8,10,9,7,6,5,4,3,1]
[1,3,4,5,7,8,6,2,9,10,11,12]=>[12,11,10,9,2,6,8,7,5,4,3,1]
[1,3,4,5,7,8,6,2,9,11,12,10]=>[10,12,11,9,2,6,8,7,5,4,3,1]
[1,3,4,5,7,8,6,9,10,2,11,12]=>[12,11,2,10,9,6,8,7,5,4,3,1]
[1,3,4,5,7,8,6,9,10,11,12,2]=>[2,12,11,10,9,6,8,7,5,4,3,1]
[1,3,4,5,7,8,6,9,11,12,10,2]=>[2,10,12,11,9,6,8,7,5,4,3,1]
[1,3,4,5,7,8,9,10,6,2,11,12]=>[12,11,2,6,10,9,8,7,5,4,3,1]
[1,3,4,5,7,8,9,10,6,11,12,2]=>[2,12,11,6,10,9,8,7,5,4,3,1]
[1,3,4,5,7,9,10,8,6,2,11,12]=>[12,11,2,6,8,10,9,7,5,4,3,1]
[1,3,4,5,7,9,10,8,6,11,12,2]=>[2,12,11,6,8,10,9,7,5,4,3,1]
[1,3,4,5,7,9,10,8,11,12,6,2]=>[2,6,12,11,8,10,9,7,5,4,3,1]
[1,3,5,6,4,2,7,8,9,10,11,12]=>[12,11,10,9,8,7,2,4,6,5,3,1]
[1,3,5,6,4,2,7,8,9,11,12,10]=>[10,12,11,9,8,7,2,4,6,5,3,1]
[1,3,5,6,4,2,7,9,10,8,11,12]=>[12,11,8,10,9,7,2,4,6,5,3,1]
[1,3,5,6,4,2,7,9,10,11,12,8]=>[8,12,11,10,9,7,2,4,6,5,3,1]
[1,3,5,6,4,2,7,9,11,12,10,8]=>[8,10,12,11,9,7,2,4,6,5,3,1]
[1,3,5,6,4,7,8,2,9,10,11,12]=>[12,11,10,9,2,8,7,4,6,5,3,1]
[1,3,5,6,4,7,8,2,9,11,12,10]=>[10,12,11,9,2,8,7,4,6,5,3,1]
[1,3,5,6,4,7,8,9,10,2,11,12]=>[12,11,2,10,9,8,7,4,6,5,3,1]
[1,3,5,6,4,7,8,9,10,11,12,2]=>[2,12,11,10,9,8,7,4,6,5,3,1]
[1,3,5,6,4,7,8,9,11,12,10,2]=>[2,10,12,11,9,8,7,4,6,5,3,1]
[1,3,5,6,4,7,9,10,8,2,11,12]=>[12,11,2,8,10,9,7,4,6,5,3,1]
[1,3,5,6,4,7,9,10,8,11,12,2]=>[2,12,11,8,10,9,7,4,6,5,3,1]
[1,3,5,6,4,7,9,10,11,12,8,2]=>[2,8,12,11,10,9,7,4,6,5,3,1]
[1,3,5,6,4,7,9,11,12,10,8,2]=>[2,8,10,12,11,9,7,4,6,5,3,1]
[1,3,5,6,7,8,4,2,9,10,11,12]=>[12,11,10,9,2,4,8,7,6,5,3,1]
[1,3,5,6,7,8,4,2,9,11,12,10]=>[10,12,11,9,2,4,8,7,6,5,3,1]
[1,3,5,6,7,8,4,9,10,2,11,12]=>[12,11,2,10,9,4,8,7,6,5,3,1]
[1,3,5,6,7,8,4,9,10,11,12,2]=>[2,12,11,10,9,4,8,7,6,5,3,1]
[1,3,5,6,7,8,4,9,11,12,10,2]=>[2,10,12,11,9,4,8,7,6,5,3,1]
[1,3,5,6,7,8,9,10,4,2,11,12]=>[12,11,2,4,10,9,8,7,6,5,3,1]
[1,3,5,6,7,8,9,10,4,11,12,2]=>[2,12,11,4,10,9,8,7,6,5,3,1]
[1,3,5,6,7,9,10,8,4,2,11,12]=>[12,11,2,4,8,10,9,7,6,5,3,1]
[1,3,5,6,7,9,10,8,4,11,12,2]=>[2,12,11,4,8,10,9,7,6,5,3,1]
[1,3,5,6,7,9,10,8,11,12,4,2]=>[2,4,12,11,8,10,9,7,6,5,3,1]
[1,3,5,7,8,6,4,2,9,10,11,12]=>[12,11,10,9,2,4,6,8,7,5,3,1]
[1,3,5,7,8,6,4,2,9,11,12,10]=>[10,12,11,9,2,4,6,8,7,5,3,1]
[1,3,5,7,8,6,4,9,10,2,11,12]=>[12,11,2,10,9,4,6,8,7,5,3,1]
[1,3,5,7,8,6,4,9,10,11,12,2]=>[2,12,11,10,9,4,6,8,7,5,3,1]
[1,3,5,7,8,6,4,9,11,12,10,2]=>[2,10,12,11,9,4,6,8,7,5,3,1]
[1,3,5,7,8,6,9,10,4,2,11,12]=>[12,11,2,4,10,9,6,8,7,5,3,1]
[1,3,5,7,8,6,9,10,4,11,12,2]=>[2,12,11,4,10,9,6,8,7,5,3,1]
[1,3,5,7,8,6,9,10,11,12,4,2]=>[2,4,12,11,10,9,6,8,7,5,3,1]
[1,3,5,7,8,6,9,11,12,10,4,2]=>[2,4,10,12,11,9,6,8,7,5,3,1]
[1,3,5,7,8,9,10,6,4,2,11,12]=>[12,11,2,4,6,10,9,8,7,5,3,1]
[1,3,5,7,8,9,10,6,4,11,12,2]=>[2,12,11,4,6,10,9,8,7,5,3,1]
[1,3,5,7,8,9,10,6,11,12,4,2]=>[2,4,12,11,6,10,9,8,7,5,3,1]
[1,3,5,7,9,10,8,6,4,2,11,12]=>[12,11,2,4,6,8,10,9,7,5,3,1]
[1,3,5,7,9,10,8,6,4,11,12,2]=>[2,12,11,4,6,8,10,9,7,5,3,1]
[1,3,5,7,9,10,8,6,11,12,4,2]=>[2,4,12,11,6,8,10,9,7,5,3,1]
[1,3,5,7,9,10,8,11,12,6,4,2]=>[2,4,6,12,11,8,10,9,7,5,3,1]
[9,12,7,10,5,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,5,10,7,12,9]
[6,7,8,9,10,11,12,1,2,3,4,5]=>[5,4,3,2,1,12,11,10,9,8,7,6]
[1,7,8,9,10,11,2,3,4,5,12,6]=>[6,12,5,4,3,2,11,10,9,8,7,1]
[1,7,8,9,10,11,2,3,4,12,5,6]=>[6,5,12,4,3,2,11,10,9,8,7,1]
[1,2,7,8,9,10,3,4,5,11,12,6]=>[6,12,11,5,4,3,10,9,8,7,2,1]
[1,7,2,8,9,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,9,8,2,7,1]
[1,7,8,9,10,11,2,3,12,4,5,6]=>[6,5,4,12,3,2,11,10,9,8,7,1]
[1,2,7,8,9,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,9,8,7,2,1]
[7,1,2,8,9,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,9,8,2,1,7]
[1,7,2,8,9,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,9,8,2,7,1]
[1,2,7,8,9,10,3,4,11,12,5,6]=>[6,5,12,11,4,3,10,9,8,7,2,1]
[1,2,3,7,8,9,4,5,10,11,12,6]=>[6,12,11,10,5,4,9,8,7,3,2,1]
[1,7,8,2,9,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,9,2,8,7,1]
[1,7,8,2,9,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,9,2,8,7,1]
[1,7,2,8,9,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,9,8,2,7,1]
[1,7,8,9,10,11,2,12,3,4,5,6]=>[6,5,4,3,12,2,11,10,9,8,7,1]
[1,2,7,8,9,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,9,8,7,2,1]
[7,1,2,8,9,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,9,8,2,1,7]
[1,7,2,8,9,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,9,8,2,7,1]
[1,2,7,8,9,10,3,11,4,12,5,6]=>[6,5,12,4,11,3,10,9,8,7,2,1]
[1,7,2,3,8,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,8,3,2,7,1]
[1,7,8,2,9,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,9,2,8,7,1]
[7,1,2,8,9,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,9,8,2,1,7]
[1,7,2,8,9,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,9,8,2,7,1]
[1,2,7,8,9,10,3,11,12,4,5,6]=>[6,5,4,12,11,3,10,9,8,7,2,1]
[7,1,2,3,8,9,4,10,11,12,5,6]=>[6,5,12,11,10,4,9,8,3,2,1,7]
[1,7,2,3,8,9,4,10,11,12,5,6]=>[6,5,12,11,10,4,9,8,3,2,7,1]
[1,2,7,3,8,9,4,10,11,12,5,6]=>[6,5,12,11,10,4,9,8,3,7,2,1]
[1,2,3,7,8,9,4,10,11,12,5,6]=>[6,5,12,11,10,4,9,8,7,3,2,1]
[1,2,3,4,7,8,5,9,10,11,12,6]=>[6,12,11,10,9,5,8,7,4,3,2,1]
[1,7,8,9,2,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,2,9,8,7,1]
[1,7,8,9,2,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,2,9,8,7,1]
[1,2,7,8,3,9,10,4,5,11,12,6]=>[6,12,11,5,4,10,9,3,8,7,2,1]
[1,7,8,9,2,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,2,9,8,7,1]
[7,1,2,8,3,9,10,4,11,12,5,6]=>[6,5,12,11,4,10,9,3,8,2,1,7]
[1,7,2,8,3,9,10,4,11,12,5,6]=>[6,5,12,11,4,10,9,3,8,2,7,1]
[1,2,7,8,3,9,10,4,11,12,5,6]=>[6,5,12,11,4,10,9,3,8,7,2,1]
[1,2,3,7,4,8,9,5,10,11,12,6]=>[6,12,11,10,5,9,8,4,7,3,2,1]
[1,7,8,2,9,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,9,2,8,7,1]
[1,7,8,2,9,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,9,2,8,7,1]
[1,2,7,3,8,9,10,4,5,11,12,6]=>[6,12,11,5,4,10,9,8,3,7,2,1]
[1,7,2,8,9,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,9,8,2,7,1]
[1,7,8,9,10,11,12,2,3,4,5,6]=>[6,5,4,3,2,12,11,10,9,8,7,1]
[1,2,7,8,9,10,11,3,4,5,12,6]=>[6,12,5,4,3,11,10,9,8,7,2,1]
[7,1,2,8,9,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,9,8,2,1,7]
[1,7,2,8,9,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,9,8,2,7,1]
[1,2,7,8,9,10,11,3,4,12,5,6]=>[6,5,12,4,3,11,10,9,8,7,2,1]
[1,2,3,7,8,9,10,4,5,11,12,6]=>[6,12,11,5,4,10,9,8,7,3,2,1]
[1,7,2,3,8,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,8,3,2,7,1]
[1,7,8,2,9,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,9,2,8,7,1]
[7,1,2,8,9,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,9,8,2,1,7]
[1,7,2,8,9,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,9,8,2,7,1]
[1,2,7,8,9,10,11,3,12,4,5,6]=>[6,5,4,12,3,11,10,9,8,7,2,1]
[7,1,2,3,8,9,10,4,11,12,5,6]=>[6,5,12,11,4,10,9,8,3,2,1,7]
[1,7,2,3,8,9,10,4,11,12,5,6]=>[6,5,12,11,4,10,9,8,3,2,7,1]
[1,2,7,3,8,9,10,4,11,12,5,6]=>[6,5,12,11,4,10,9,8,3,7,2,1]
[1,2,3,7,8,9,10,4,11,12,5,6]=>[6,5,12,11,4,10,9,8,7,3,2,1]
[1,2,3,4,7,8,9,5,10,11,12,6]=>[6,12,11,10,5,9,8,7,4,3,2,1]
[1,7,8,2,3,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,3,2,8,7,1]
[7,1,8,2,3,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,3,2,8,1,7]
[1,7,8,2,3,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,3,2,8,7,1]
[1,2,7,3,4,8,9,10,5,11,12,6]=>[6,12,11,5,10,9,8,4,3,7,2,1]
[1,7,2,8,3,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,3,8,2,7,1]
[1,7,8,9,2,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,2,9,8,7,1]
[1,2,7,8,3,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,3,8,7,2,1]
[7,1,2,8,3,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,3,8,2,1,7]
[1,7,2,8,3,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,3,8,2,7,1]
[1,2,7,8,3,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,3,8,7,2,1]
[1,2,3,7,4,8,9,10,5,11,12,6]=>[6,12,11,5,10,9,8,4,7,3,2,1]
[1,7,2,3,8,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,8,3,2,7,1]
[1,7,8,2,9,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,9,2,8,7,1]
[1,2,7,3,8,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,8,3,7,2,1]
[7,1,2,8,9,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,9,8,2,1,7]
[1,7,2,8,9,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,9,8,2,7,1]
[1,2,7,8,9,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,9,8,7,2,1]
[1,2,3,7,8,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,8,7,3,2,1]
[7,1,2,3,8,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,8,3,2,1,7]
[1,7,2,3,8,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,8,3,2,7,1]
[1,2,7,3,8,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,8,3,7,2,1]
[1,2,3,7,8,9,10,11,4,12,5,6]=>[6,5,12,4,11,10,9,8,7,3,2,1]
[1,2,3,4,7,8,9,10,5,11,12,6]=>[6,12,11,5,10,9,8,7,4,3,2,1]
[7,8,1,2,3,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,3,2,1,8,7]
[1,7,2,3,4,8,9,10,11,5,12,6]=>[6,12,5,11,10,9,8,4,3,2,7,1]
[7,1,8,2,3,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,3,2,8,1,7]
[1,7,8,2,3,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,3,2,8,7,1]
[1,2,7,3,4,8,9,10,11,5,12,6]=>[6,12,5,11,10,9,8,4,3,7,2,1]
[7,1,2,8,3,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,3,8,2,1,7]
[1,7,2,8,3,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,3,8,2,7,1]
[1,2,7,8,3,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,3,8,7,2,1]
[1,2,3,7,4,8,9,10,11,5,12,6]=>[6,12,5,11,10,9,8,4,7,3,2,1]
[7,1,2,3,8,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,8,3,2,1,7]
[1,7,2,3,8,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,8,3,2,7,1]
[1,2,7,3,8,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,8,3,7,2,1]
[1,2,3,7,8,9,10,11,12,4,5,6]=>[6,5,4,12,11,10,9,8,7,3,2,1]
[1,2,3,4,7,8,9,10,11,5,12,6]=>[6,12,5,11,10,9,8,7,4,3,2,1]
[7,1,2,3,4,8,9,10,11,12,5,6]=>[6,5,12,11,10,9,8,4,3,2,1,7]
[1,7,2,3,4,8,9,10,11,12,5,6]=>[6,5,12,11,10,9,8,4,3,2,7,1]
[1,2,7,3,4,8,9,10,11,12,5,6]=>[6,5,12,11,10,9,8,4,3,7,2,1]
[1,2,3,7,4,8,9,10,11,12,5,6]=>[6,5,12,11,10,9,8,4,7,3,2,1]
[1,2,3,4,7,8,9,10,11,12,5,6]=>[6,5,12,11,10,9,8,7,4,3,2,1]
[12,11,10,6,5,4,9,8,7,3,2,1]=>[1,2,3,7,8,9,4,5,6,10,11,12]
[12,6,5,4,3,2,11,10,9,8,7,1]=>[1,7,8,9,10,11,2,3,4,5,6,12]
[10,12,1,2,3,4,5,6,7,9,8,11]=>[11,8,9,7,6,5,4,3,2,1,12,10]
[11,12,1,2,3,4,5,7,6,9,8,10]=>[10,8,9,6,7,5,4,3,2,1,12,11]
[10,12,1,2,3,4,5,7,6,8,9,11]=>[11,9,8,6,7,5,4,3,2,1,12,10]
[9,12,1,2,3,4,5,7,8,6,10,11]=>[11,10,6,8,7,5,4,3,2,1,12,9]
[11,12,1,2,3,5,4,7,6,8,9,10]=>[10,9,8,6,7,4,5,3,2,1,12,11]
[10,12,1,2,3,5,4,7,6,9,8,11]=>[11,8,9,6,7,4,5,3,2,1,12,10]
[11,12,1,2,3,5,4,6,7,9,8,10]=>[10,8,9,7,6,4,5,3,2,1,12,11]
[10,12,1,2,3,5,4,6,7,8,9,11]=>[11,9,8,7,6,4,5,3,2,1,12,10]
[9,12,1,2,3,5,4,6,8,7,10,11]=>[11,10,7,8,6,4,5,3,2,1,12,9]
[11,12,1,2,3,5,6,4,8,9,7,10]=>[10,7,9,8,4,6,5,3,2,1,12,11]
[10,12,1,2,3,5,6,4,8,7,9,11]=>[11,9,7,8,4,6,5,3,2,1,12,10]
[9,12,1,2,3,5,6,4,7,8,10,11]=>[11,10,8,7,4,6,5,3,2,1,12,9]
[8,12,1,2,3,5,6,7,4,9,10,11]=>[11,10,9,4,7,6,5,3,2,1,12,8]
[11,12,1,3,2,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,2,3,1,12,11]
[10,12,1,3,2,5,4,6,7,9,8,11]=>[11,8,9,7,6,4,5,2,3,1,12,10]
[11,12,1,3,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,3,1,12,11]
[10,12,1,3,2,5,4,7,6,8,9,11]=>[11,9,8,6,7,4,5,2,3,1,12,10]
[9,12,1,3,2,5,4,7,8,6,10,11]=>[11,10,6,8,7,4,5,2,3,1,12,9]
[11,12,1,3,2,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,2,3,1,12,11]
[10,12,1,3,2,4,5,7,6,9,8,11]=>[11,8,9,6,7,5,4,2,3,1,12,10]
[11,12,1,3,2,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,2,3,1,12,11]
[10,12,1,3,2,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,2,3,1,12,10]
[9,12,1,3,2,4,5,6,8,7,10,11]=>[11,10,7,8,6,5,4,2,3,1,12,9]
[11,12,1,3,2,4,6,5,8,9,7,10]=>[10,7,9,8,5,6,4,2,3,1,12,11]
[10,12,1,3,2,4,6,5,8,7,9,11]=>[11,9,7,8,5,6,4,2,3,1,12,10]
[9,12,1,3,2,4,6,5,7,8,10,11]=>[11,10,8,7,5,6,4,2,3,1,12,9]
[8,12,1,3,2,4,6,7,5,9,10,11]=>[11,10,9,5,7,6,4,2,3,1,12,8]
[11,12,1,3,4,2,6,7,5,8,9,10]=>[10,9,8,5,7,6,2,4,3,1,12,11]
[10,12,1,3,4,2,6,7,5,9,8,11]=>[11,8,9,5,7,6,2,4,3,1,12,10]
[11,12,1,3,4,2,6,5,7,9,8,10]=>[10,8,9,7,5,6,2,4,3,1,12,11]
[10,12,1,3,4,2,6,5,7,8,9,11]=>[11,9,8,7,5,6,2,4,3,1,12,10]
[9,12,1,3,4,2,6,5,8,7,10,11]=>[11,10,7,8,5,6,2,4,3,1,12,9]
[11,12,1,3,4,2,5,6,8,9,7,10]=>[10,7,9,8,6,5,2,4,3,1,12,11]
[10,12,1,3,4,2,5,6,8,7,9,11]=>[11,9,7,8,6,5,2,4,3,1,12,10]
[9,12,1,3,4,2,5,6,7,8,10,11]=>[11,10,8,7,6,5,2,4,3,1,12,9]
[8,12,1,3,4,2,5,7,6,9,10,11]=>[11,10,9,6,7,5,2,4,3,1,12,8]
[11,12,1,3,4,5,2,7,8,9,6,10]=>[10,6,9,8,7,2,5,4,3,1,12,11]
[10,12,1,3,4,5,2,7,8,6,9,11]=>[11,9,6,8,7,2,5,4,3,1,12,10]
[9,12,1,3,4,5,2,7,6,8,10,11]=>[11,10,8,6,7,2,5,4,3,1,12,9]
[8,12,1,3,4,5,2,6,7,9,10,11]=>[11,10,9,7,6,2,5,4,3,1,12,8]
[7,12,1,3,4,5,6,2,8,9,10,11]=>[11,10,9,8,2,6,5,4,3,1,12,7]
[11,1,12,3,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,3,12,1,11]
[10,1,12,3,2,4,5,6,7,9,8,11]=>[11,8,9,7,6,5,4,2,3,12,1,10]
[11,1,12,3,2,4,5,7,6,9,8,10]=>[10,8,9,6,7,5,4,2,3,12,1,11]
[10,1,12,3,2,4,5,7,6,8,9,11]=>[11,9,8,6,7,5,4,2,3,12,1,10]
[9,1,12,3,2,4,5,7,8,6,10,11]=>[11,10,6,8,7,5,4,2,3,12,1,9]
[11,1,12,3,2,5,4,7,6,8,9,10]=>[10,9,8,6,7,4,5,2,3,12,1,11]
[10,1,12,3,2,5,4,7,6,9,8,11]=>[11,8,9,6,7,4,5,2,3,12,1,10]
[11,1,12,3,2,5,4,6,7,9,8,10]=>[10,8,9,7,6,4,5,2,3,12,1,11]
[10,1,12,3,2,5,4,6,7,8,9,11]=>[11,9,8,7,6,4,5,2,3,12,1,10]
[9,1,12,3,2,5,4,6,8,7,10,11]=>[11,10,7,8,6,4,5,2,3,12,1,9]
[11,1,12,3,2,5,6,4,8,9,7,10]=>[10,7,9,8,4,6,5,2,3,12,1,11]
[10,1,12,3,2,5,6,4,8,7,9,11]=>[11,9,7,8,4,6,5,2,3,12,1,10]
[9,1,12,3,2,5,6,4,7,8,10,11]=>[11,10,8,7,4,6,5,2,3,12,1,9]
[8,1,12,3,2,5,6,7,4,9,10,11]=>[11,10,9,4,7,6,5,2,3,12,1,8]
[11,1,12,2,3,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,3,2,12,1,11]
[10,1,12,2,3,5,4,6,7,9,8,11]=>[11,8,9,7,6,4,5,3,2,12,1,10]
[11,1,12,2,3,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,3,2,12,1,11]
[10,1,12,2,3,5,4,7,6,8,9,11]=>[11,9,8,6,7,4,5,3,2,12,1,10]
[9,1,12,2,3,5,4,7,8,6,10,11]=>[11,10,6,8,7,4,5,3,2,12,1,9]
[11,1,12,2,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,2,12,1,11]
[10,1,12,2,3,4,5,7,6,9,8,11]=>[11,8,9,6,7,5,4,3,2,12,1,10]
[11,1,12,2,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,2,12,1,11]
[10,1,12,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,12,1,10]
[9,1,12,2,3,4,5,6,8,7,10,11]=>[11,10,7,8,6,5,4,3,2,12,1,9]
[11,1,12,2,3,4,6,5,8,9,7,10]=>[10,7,9,8,5,6,4,3,2,12,1,11]
[10,1,12,2,3,4,6,5,8,7,9,11]=>[11,9,7,8,5,6,4,3,2,12,1,10]
[9,1,12,2,3,4,6,5,7,8,10,11]=>[11,10,8,7,5,6,4,3,2,12,1,9]
[8,1,12,2,3,4,6,7,5,9,10,11]=>[11,10,9,5,7,6,4,3,2,12,1,8]
[11,1,12,2,4,3,6,7,5,8,9,10]=>[10,9,8,5,7,6,3,4,2,12,1,11]
[10,1,12,2,4,3,6,7,5,9,8,11]=>[11,8,9,5,7,6,3,4,2,12,1,10]
[11,1,12,2,4,3,6,5,7,9,8,10]=>[10,8,9,7,5,6,3,4,2,12,1,11]
[10,1,12,2,4,3,6,5,7,8,9,11]=>[11,9,8,7,5,6,3,4,2,12,1,10]
[9,1,12,2,4,3,6,5,8,7,10,11]=>[11,10,7,8,5,6,3,4,2,12,1,9]
[11,1,12,2,4,3,5,6,8,9,7,10]=>[10,7,9,8,6,5,3,4,2,12,1,11]
[10,1,12,2,4,3,5,6,8,7,9,11]=>[11,9,7,8,6,5,3,4,2,12,1,10]
[9,1,12,2,4,3,5,6,7,8,10,11]=>[11,10,8,7,6,5,3,4,2,12,1,9]
[8,1,12,2,4,3,5,7,6,9,10,11]=>[11,10,9,6,7,5,3,4,2,12,1,8]
[11,1,12,2,4,5,3,7,8,9,6,10]=>[10,6,9,8,7,3,5,4,2,12,1,11]
[10,1,12,2,4,5,3,7,8,6,9,11]=>[11,9,6,8,7,3,5,4,2,12,1,10]
[9,1,12,2,4,5,3,7,6,8,10,11]=>[11,10,8,6,7,3,5,4,2,12,1,9]
[8,1,12,2,4,5,3,6,7,9,10,11]=>[11,10,9,7,6,3,5,4,2,12,1,8]
[7,1,12,2,4,5,6,3,8,9,10,11]=>[11,10,9,8,3,6,5,4,2,12,1,7]
[11,1,2,12,4,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,4,12,2,1,11]
[10,1,2,12,4,5,3,6,7,9,8,11]=>[11,8,9,7,6,3,5,4,12,2,1,10]
[11,1,2,12,4,5,3,7,6,9,8,10]=>[10,8,9,6,7,3,5,4,12,2,1,11]
[10,1,2,12,4,5,3,7,6,8,9,11]=>[11,9,8,6,7,3,5,4,12,2,1,10]
[9,1,2,12,4,5,3,7,8,6,10,11]=>[11,10,6,8,7,3,5,4,12,2,1,9]
[11,1,2,12,4,3,5,7,6,8,9,10]=>[10,9,8,6,7,5,3,4,12,2,1,11]
[10,1,2,12,4,3,5,7,6,9,8,11]=>[11,8,9,6,7,5,3,4,12,2,1,10]
[11,1,2,12,4,3,5,6,7,9,8,10]=>[10,8,9,7,6,5,3,4,12,2,1,11]
[10,1,2,12,4,3,5,6,7,8,9,11]=>[11,9,8,7,6,5,3,4,12,2,1,10]
[9,1,2,12,4,3,5,6,8,7,10,11]=>[11,10,7,8,6,5,3,4,12,2,1,9]
[11,1,2,12,4,3,6,5,8,9,7,10]=>[10,7,9,8,5,6,3,4,12,2,1,11]
[10,1,2,12,4,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,4,12,2,1,10]
[9,1,2,12,4,3,6,5,7,8,10,11]=>[11,10,8,7,5,6,3,4,12,2,1,9]
[8,1,2,12,4,3,6,7,5,9,10,11]=>[11,10,9,5,7,6,3,4,12,2,1,8]
[11,1,2,12,3,4,6,7,5,8,9,10]=>[10,9,8,5,7,6,4,3,12,2,1,11]
[10,1,2,12,3,4,6,7,5,9,8,11]=>[11,8,9,5,7,6,4,3,12,2,1,10]
[11,1,2,12,3,4,6,5,7,9,8,10]=>[10,8,9,7,5,6,4,3,12,2,1,11]
[10,1,2,12,3,4,6,5,7,8,9,11]=>[11,9,8,7,5,6,4,3,12,2,1,10]
[9,1,2,12,3,4,6,5,8,7,10,11]=>[11,10,7,8,5,6,4,3,12,2,1,9]
[11,1,2,12,3,4,5,6,8,9,7,10]=>[10,7,9,8,6,5,4,3,12,2,1,11]
[10,1,2,12,3,4,5,6,8,7,9,11]=>[11,9,7,8,6,5,4,3,12,2,1,10]
[9,1,2,12,3,4,5,6,7,8,10,11]=>[11,10,8,7,6,5,4,3,12,2,1,9]
[8,1,2,12,3,4,5,7,6,9,10,11]=>[11,10,9,6,7,5,4,3,12,2,1,8]
[11,1,2,12,3,5,4,7,8,9,6,10]=>[10,6,9,8,7,4,5,3,12,2,1,11]
[10,1,2,12,3,5,4,7,8,6,9,11]=>[11,9,6,8,7,4,5,3,12,2,1,10]
[9,1,2,12,3,5,4,7,6,8,10,11]=>[11,10,8,6,7,4,5,3,12,2,1,9]
[8,1,2,12,3,5,4,6,7,9,10,11]=>[11,10,9,7,6,4,5,3,12,2,1,8]
[7,1,2,12,3,5,6,4,8,9,10,11]=>[11,10,9,8,4,6,5,3,12,2,1,7]
[11,1,2,3,12,5,6,7,4,8,9,10]=>[10,9,8,4,7,6,5,12,3,2,1,11]
[10,1,2,3,12,5,6,7,4,9,8,11]=>[11,8,9,4,7,6,5,12,3,2,1,10]
[11,1,2,3,12,5,6,4,7,9,8,10]=>[10,8,9,7,4,6,5,12,3,2,1,11]
[10,1,2,3,12,5,6,4,7,8,9,11]=>[11,9,8,7,4,6,5,12,3,2,1,10]
[9,1,2,3,12,5,6,4,8,7,10,11]=>[11,10,7,8,4,6,5,12,3,2,1,9]
[11,1,2,3,12,5,4,6,8,9,7,10]=>[10,7,9,8,6,4,5,12,3,2,1,11]
[10,1,2,3,12,5,4,6,8,7,9,11]=>[11,9,7,8,6,4,5,12,3,2,1,10]
[9,1,2,3,12,5,4,6,7,8,10,11]=>[11,10,8,7,6,4,5,12,3,2,1,9]
[8,1,2,3,12,5,4,7,6,9,10,11]=>[11,10,9,6,7,4,5,12,3,2,1,8]
[11,1,2,3,12,4,5,7,8,9,6,10]=>[10,6,9,8,7,5,4,12,3,2,1,11]
[10,1,2,3,12,4,5,7,8,6,9,11]=>[11,9,6,8,7,5,4,12,3,2,1,10]
[9,1,2,3,12,4,5,7,6,8,10,11]=>[11,10,8,6,7,5,4,12,3,2,1,9]
[8,1,2,3,12,4,5,6,7,9,10,11]=>[11,10,9,7,6,5,4,12,3,2,1,8]
[7,1,2,3,12,4,6,5,8,9,10,11]=>[11,10,9,8,5,6,4,12,3,2,1,7]
[11,1,2,3,4,12,6,7,8,9,5,10]=>[10,5,9,8,7,6,12,4,3,2,1,11]
[10,1,2,3,4,12,6,7,8,5,9,11]=>[11,9,5,8,7,6,12,4,3,2,1,10]
[9,1,2,3,4,12,6,7,5,8,10,11]=>[11,10,8,5,7,6,12,4,3,2,1,9]
[8,1,2,3,4,12,6,5,7,9,10,11]=>[11,10,9,7,5,6,12,4,3,2,1,8]
[7,1,2,3,4,12,5,6,8,9,10,11]=>[11,10,9,8,6,5,12,4,3,2,1,7]
[6,12,1,7,2,8,3,9,4,10,5,11]=>[11,5,10,4,9,3,8,2,7,1,12,6]
[6,12,1,7,2,8,3,9,4,10,11,5]=>[5,11,10,4,9,3,8,2,7,1,12,6]
[6,12,1,7,2,8,3,9,10,4,5,11]=>[11,5,4,10,9,3,8,2,7,1,12,6]
[6,12,1,7,2,8,3,9,10,4,11,5]=>[5,11,4,10,9,3,8,2,7,1,12,6]
[6,12,1,7,2,8,3,9,10,11,4,5]=>[5,4,11,10,9,3,8,2,7,1,12,6]
[6,12,1,7,2,8,9,3,4,10,5,11]=>[11,5,10,4,3,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,3,4,10,11,5]=>[5,11,10,4,3,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,3,10,4,5,11]=>[11,5,4,10,3,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,3,10,4,11,5]=>[5,11,4,10,3,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,3,10,11,4,5]=>[5,4,11,10,3,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,10,3,4,5,11]=>[11,5,4,3,10,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,10,3,4,11,5]=>[5,11,4,3,10,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,10,3,11,4,5]=>[5,4,11,3,10,9,8,2,7,1,12,6]
[6,12,1,7,2,8,9,10,11,3,4,5]=>[5,4,3,11,10,9,8,2,7,1,12,6]
[6,12,1,7,8,2,3,9,4,10,5,11]=>[11,5,10,4,9,3,2,8,7,1,12,6]
[6,12,1,7,8,2,3,9,4,10,11,5]=>[5,11,10,4,9,3,2,8,7,1,12,6]
[6,12,1,7,8,2,3,9,10,4,5,11]=>[11,5,4,10,9,3,2,8,7,1,12,6]
[6,12,1,7,8,2,3,9,10,4,11,5]=>[5,11,4,10,9,3,2,8,7,1,12,6]
[6,12,1,7,8,2,3,9,10,11,4,5]=>[5,4,11,10,9,3,2,8,7,1,12,6]
[6,12,1,7,8,2,9,3,4,10,5,11]=>[11,5,10,4,3,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,3,4,10,11,5]=>[5,11,10,4,3,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,3,10,4,5,11]=>[11,5,4,10,3,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,3,10,4,11,5]=>[5,11,4,10,3,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,3,10,11,4,5]=>[5,4,11,10,3,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,10,3,4,5,11]=>[11,5,4,3,10,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,10,3,4,11,5]=>[5,11,4,3,10,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,10,3,11,4,5]=>[5,4,11,3,10,9,2,8,7,1,12,6]
[6,12,1,7,8,2,9,10,11,3,4,5]=>[5,4,3,11,10,9,2,8,7,1,12,6]
[6,12,1,7,8,9,2,3,4,10,5,11]=>[11,5,10,4,3,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,3,4,10,11,5]=>[5,11,10,4,3,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,3,10,4,5,11]=>[11,5,4,10,3,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,3,10,4,11,5]=>[5,11,4,10,3,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,3,10,11,4,5]=>[5,4,11,10,3,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,10,3,4,5,11]=>[11,5,4,3,10,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,10,3,4,11,5]=>[5,11,4,3,10,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,10,3,11,4,5]=>[5,4,11,3,10,2,9,8,7,1,12,6]
[6,12,1,7,8,9,2,10,11,3,4,5]=>[5,4,3,11,10,2,9,8,7,1,12,6]
[6,12,1,7,8,9,10,2,3,4,5,11]=>[11,5,4,3,2,10,9,8,7,1,12,6]
[6,12,1,7,8,9,10,2,3,4,11,5]=>[5,11,4,3,2,10,9,8,7,1,12,6]
[6,12,1,7,8,9,10,2,3,11,4,5]=>[5,4,11,3,2,10,9,8,7,1,12,6]
[6,12,1,7,8,9,10,2,11,3,4,5]=>[5,4,3,11,2,10,9,8,7,1,12,6]
[6,12,1,7,8,9,10,11,2,3,4,5]=>[5,4,3,2,11,10,9,8,7,1,12,6]
[6,12,7,1,2,8,3,9,4,10,5,11]=>[11,5,10,4,9,3,8,2,1,7,12,6]
[6,12,7,1,2,8,3,9,4,10,11,5]=>[5,11,10,4,9,3,8,2,1,7,12,6]
[6,12,7,1,2,8,3,9,10,4,5,11]=>[11,5,4,10,9,3,8,2,1,7,12,6]
[6,12,7,1,2,8,3,9,10,4,11,5]=>[5,11,4,10,9,3,8,2,1,7,12,6]
[6,12,7,1,2,8,3,9,10,11,4,5]=>[5,4,11,10,9,3,8,2,1,7,12,6]
[6,12,7,1,2,8,9,3,4,10,5,11]=>[11,5,10,4,3,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,3,4,10,11,5]=>[5,11,10,4,3,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,3,10,4,5,11]=>[11,5,4,10,3,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,3,10,4,11,5]=>[5,11,4,10,3,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,3,10,11,4,5]=>[5,4,11,10,3,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,10,3,4,5,11]=>[11,5,4,3,10,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,10,3,4,11,5]=>[5,11,4,3,10,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,10,3,11,4,5]=>[5,4,11,3,10,9,8,2,1,7,12,6]
[6,12,7,1,2,8,9,10,11,3,4,5]=>[5,4,3,11,10,9,8,2,1,7,12,6]
[6,12,7,1,8,2,3,9,4,10,5,11]=>[11,5,10,4,9,3,2,8,1,7,12,6]
[6,12,7,1,8,2,3,9,4,10,11,5]=>[5,11,10,4,9,3,2,8,1,7,12,6]
[6,12,7,1,8,2,3,9,10,4,5,11]=>[11,5,4,10,9,3,2,8,1,7,12,6]
[6,12,7,1,8,2,3,9,10,4,11,5]=>[5,11,4,10,9,3,2,8,1,7,12,6]
[6,12,7,1,8,2,3,9,10,11,4,5]=>[5,4,11,10,9,3,2,8,1,7,12,6]
[6,12,7,1,8,2,9,3,4,10,5,11]=>[11,5,10,4,3,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,3,4,10,11,5]=>[5,11,10,4,3,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,3,10,4,5,11]=>[11,5,4,10,3,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,3,10,4,11,5]=>[5,11,4,10,3,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,3,10,11,4,5]=>[5,4,11,10,3,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,10,3,4,5,11]=>[11,5,4,3,10,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,10,3,4,11,5]=>[5,11,4,3,10,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,10,3,11,4,5]=>[5,4,11,3,10,9,2,8,1,7,12,6]
[6,12,7,1,8,2,9,10,11,3,4,5]=>[5,4,3,11,10,9,2,8,1,7,12,6]
[6,12,7,1,8,9,2,3,4,10,5,11]=>[11,5,10,4,3,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,3,4,10,11,5]=>[5,11,10,4,3,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,3,10,4,5,11]=>[11,5,4,10,3,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,3,10,4,11,5]=>[5,11,4,10,3,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,3,10,11,4,5]=>[5,4,11,10,3,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,10,3,4,5,11]=>[11,5,4,3,10,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,10,3,4,11,5]=>[5,11,4,3,10,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,10,3,11,4,5]=>[5,4,11,3,10,2,9,8,1,7,12,6]
[6,12,7,1,8,9,2,10,11,3,4,5]=>[5,4,3,11,10,2,9,8,1,7,12,6]
[6,12,7,1,8,9,10,2,3,4,5,11]=>[11,5,4,3,2,10,9,8,1,7,12,6]
[6,12,7,1,8,9,10,2,3,4,11,5]=>[5,11,4,3,2,10,9,8,1,7,12,6]
[6,12,7,1,8,9,10,2,3,11,4,5]=>[5,4,11,3,2,10,9,8,1,7,12,6]
[6,12,7,1,8,9,10,2,11,3,4,5]=>[5,4,3,11,2,10,9,8,1,7,12,6]
[6,12,7,1,8,9,10,11,2,3,4,5]=>[5,4,3,2,11,10,9,8,1,7,12,6]
[6,12,7,8,1,2,3,9,4,10,5,11]=>[11,5,10,4,9,3,2,1,8,7,12,6]
[6,12,7,8,1,2,3,9,4,10,11,5]=>[5,11,10,4,9,3,2,1,8,7,12,6]
[6,12,7,8,1,2,3,9,10,4,5,11]=>[11,5,4,10,9,3,2,1,8,7,12,6]
[6,12,7,8,1,2,3,9,10,4,11,5]=>[5,11,4,10,9,3,2,1,8,7,12,6]
[6,12,7,8,1,2,3,9,10,11,4,5]=>[5,4,11,10,9,3,2,1,8,7,12,6]
[6,12,7,8,1,2,9,3,4,10,5,11]=>[11,5,10,4,3,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,3,4,10,11,5]=>[5,11,10,4,3,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,3,10,4,5,11]=>[11,5,4,10,3,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,3,10,4,11,5]=>[5,11,4,10,3,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,3,10,11,4,5]=>[5,4,11,10,3,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,10,3,4,5,11]=>[11,5,4,3,10,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,10,3,4,11,5]=>[5,11,4,3,10,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,10,3,11,4,5]=>[5,4,11,3,10,9,2,1,8,7,12,6]
[6,12,7,8,1,2,9,10,11,3,4,5]=>[5,4,3,11,10,9,2,1,8,7,12,6]
[6,12,7,8,1,9,2,3,4,10,5,11]=>[11,5,10,4,3,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,3,4,10,11,5]=>[5,11,10,4,3,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,3,10,4,5,11]=>[11,5,4,10,3,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,3,10,4,11,5]=>[5,11,4,10,3,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,3,10,11,4,5]=>[5,4,11,10,3,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,10,3,4,5,11]=>[11,5,4,3,10,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,10,3,4,11,5]=>[5,11,4,3,10,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,10,3,11,4,5]=>[5,4,11,3,10,2,9,1,8,7,12,6]
[6,12,7,8,1,9,2,10,11,3,4,5]=>[5,4,3,11,10,2,9,1,8,7,12,6]
[6,12,7,8,1,9,10,2,3,4,5,11]=>[11,5,4,3,2,10,9,1,8,7,12,6]
[6,12,7,8,1,9,10,2,3,4,11,5]=>[5,11,4,3,2,10,9,1,8,7,12,6]
[6,12,7,8,1,9,10,2,3,11,4,5]=>[5,4,11,3,2,10,9,1,8,7,12,6]
[6,12,7,8,1,9,10,2,11,3,4,5]=>[5,4,3,11,2,10,9,1,8,7,12,6]
[6,12,7,8,1,9,10,11,2,3,4,5]=>[5,4,3,2,11,10,9,1,8,7,12,6]
[6,12,7,8,9,1,2,3,4,10,5,11]=>[11,5,10,4,3,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,3,4,10,11,5]=>[5,11,10,4,3,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,3,10,4,5,11]=>[11,5,4,10,3,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,3,10,4,11,5]=>[5,11,4,10,3,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,3,10,11,4,5]=>[5,4,11,10,3,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,10,3,4,5,11]=>[11,5,4,3,10,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,10,3,4,11,5]=>[5,11,4,3,10,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,10,3,11,4,5]=>[5,4,11,3,10,2,1,9,8,7,12,6]
[6,12,7,8,9,1,2,10,11,3,4,5]=>[5,4,3,11,10,2,1,9,8,7,12,6]
[6,12,7,8,9,1,10,2,3,4,5,11]=>[11,5,4,3,2,10,1,9,8,7,12,6]
[6,12,7,8,9,1,10,2,3,4,11,5]=>[5,11,4,3,2,10,1,9,8,7,12,6]
[6,12,7,8,9,1,10,2,3,11,4,5]=>[5,4,11,3,2,10,1,9,8,7,12,6]
[6,12,7,8,9,1,10,2,11,3,4,5]=>[5,4,3,11,2,10,1,9,8,7,12,6]
[6,12,7,8,9,1,10,11,2,3,4,5]=>[5,4,3,2,11,10,1,9,8,7,12,6]
[6,12,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,12,6]
[6,12,7,8,9,10,1,2,3,4,11,5]=>[5,11,4,3,2,1,10,9,8,7,12,6]
[6,12,7,8,9,10,1,2,3,11,4,5]=>[5,4,11,3,2,1,10,9,8,7,12,6]
[6,12,7,8,9,10,1,2,11,3,4,5]=>[5,4,3,11,2,1,10,9,8,7,12,6]
[6,12,7,8,9,10,1,11,2,3,4,5]=>[5,4,3,2,11,1,10,9,8,7,12,6]
[6,12,7,8,9,10,11,1,2,3,4,5]=>[5,4,3,2,1,11,10,9,8,7,12,6]
[2,1,4,3,6,5,8,10,9,12,11,7]=>[7,11,12,9,10,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,8,12,11,7,9]=>[9,7,11,12,8,10,5,6,3,4,1,2]
[2,1,4,3,6,8,7,10,9,5,12,11]=>[11,12,5,9,10,7,8,6,3,4,1,2]
[2,1,4,3,6,8,7,10,9,12,11,5]=>[5,11,12,9,10,7,8,6,3,4,1,2]
[2,1,4,3,8,10,9,6,12,11,5,7]=>[7,5,11,12,6,9,10,8,3,4,1,2]
[2,1,4,3,8,6,10,9,5,7,12,11]=>[11,12,7,5,9,10,6,8,3,4,1,2]
[2,1,4,3,8,6,10,9,5,12,11,7]=>[7,11,12,5,9,10,6,8,3,4,1,2]
[2,1,4,3,6,10,8,7,12,11,9,5]=>[5,9,11,12,7,8,10,6,3,4,1,2]
[2,1,4,3,10,6,8,12,11,7,5,9]=>[9,5,7,11,12,8,6,10,3,4,1,2]
[2,1,4,6,5,3,10,8,12,11,7,9]=>[9,7,11,12,8,10,3,5,6,4,1,2]
[2,1,6,8,7,10,9,4,12,11,3,5]=>[5,3,11,12,4,9,10,7,8,6,1,2]
[2,1,6,8,7,4,10,9,3,5,12,11]=>[11,12,5,3,9,10,4,7,8,6,1,2]
[2,1,6,8,7,4,10,9,3,12,11,5]=>[5,11,12,3,9,10,4,7,8,6,1,2]
[2,1,4,6,5,10,8,7,12,11,9,3]=>[3,9,11,12,7,8,10,5,6,4,1,2]
[2,1,8,10,9,4,6,12,11,5,3,7]=>[7,3,5,11,12,6,4,9,10,8,1,2]
[2,1,6,4,8,7,3,5,10,9,12,11]=>[11,12,9,10,5,3,7,8,4,6,1,2]
[2,1,6,4,8,7,3,5,10,12,11,9]=>[9,11,12,10,5,3,7,8,4,6,1,2]
[2,1,6,4,8,7,3,10,9,5,12,11]=>[11,12,5,9,10,3,7,8,4,6,1,2]
[2,1,6,4,8,7,3,10,9,12,11,5]=>[5,11,12,9,10,3,7,8,4,6,1,2]
[2,1,8,4,10,9,3,6,12,11,5,7]=>[7,5,11,12,6,3,9,10,4,8,1,2]
[2,1,4,8,6,5,10,9,7,3,12,11]=>[11,12,3,7,9,10,5,6,8,4,1,2]
[2,1,4,8,6,5,10,9,7,12,11,3]=>[3,11,12,7,9,10,5,6,8,4,1,2]
[2,1,8,4,10,9,6,5,12,11,3,7]=>[7,3,11,12,5,6,9,10,4,8,1,2]
[2,1,4,10,6,5,8,12,11,7,9,3]=>[3,9,7,11,12,8,5,6,10,4,1,2]
[2,1,8,4,6,10,9,5,3,7,12,11]=>[11,12,7,3,5,9,10,6,4,8,1,2]
[2,1,8,4,6,10,9,5,3,12,11,7]=>[7,11,12,3,5,9,10,6,4,8,1,2]
[2,1,4,8,10,6,5,9,12,11,7,3]=>[3,7,11,12,9,5,6,10,8,4,1,2]
[2,1,6,10,4,8,7,12,11,3,9,5]=>[5,9,3,11,12,7,8,4,10,6,1,2]
[2,1,10,6,4,8,12,11,7,3,5,9]=>[9,5,3,7,11,12,8,4,6,10,1,2]
[2,4,3,1,6,5,8,10,9,12,11,7]=>[7,11,12,9,10,8,5,6,1,3,4,2]
[2,4,3,1,6,5,10,8,12,11,7,9]=>[9,7,11,12,8,10,5,6,1,3,4,2]
[2,4,3,1,6,8,7,10,9,5,12,11]=>[11,12,5,9,10,7,8,6,1,3,4,2]
[2,4,3,1,6,8,7,10,9,12,11,5]=>[5,11,12,9,10,7,8,6,1,3,4,2]
[2,4,3,1,8,10,9,6,12,11,5,7]=>[7,5,11,12,6,9,10,8,1,3,4,2]
[2,4,3,1,8,6,10,9,5,7,12,11]=>[11,12,7,5,9,10,6,8,1,3,4,2]
[2,4,3,1,8,6,10,9,5,12,11,7]=>[7,11,12,5,9,10,6,8,1,3,4,2]
[2,4,3,1,6,10,8,7,12,11,9,5]=>[5,9,11,12,7,8,10,6,1,3,4,2]
[2,4,3,1,10,6,8,12,11,7,5,9]=>[9,5,7,11,12,8,6,10,1,3,4,2]
[2,4,3,6,5,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,5,6,3,4,2]
[2,4,3,6,5,1,8,7,10,12,11,9]=>[9,11,12,10,7,8,1,5,6,3,4,2]
[2,4,3,6,5,1,8,10,9,7,12,11]=>[11,12,7,9,10,8,1,5,6,3,4,2]
[2,4,3,6,5,1,8,10,9,12,11,7]=>[7,11,12,9,10,8,1,5,6,3,4,2]
[2,4,3,6,5,1,10,8,12,11,7,9]=>[9,7,11,12,8,10,1,5,6,3,4,2]
[2,4,3,6,5,8,7,1,10,9,12,11]=>[11,12,9,10,1,7,8,5,6,3,4,2]
[2,4,3,6,5,8,7,1,10,12,11,9]=>[9,11,12,10,1,7,8,5,6,3,4,2]
[2,4,3,6,5,8,7,10,9,1,12,11]=>[11,12,1,9,10,7,8,5,6,3,4,2]
[4,6,5,8,7,10,9,2,12,11,1,3]=>[3,1,11,12,2,9,10,7,8,5,6,4]
[4,6,5,8,7,2,10,9,1,3,12,11]=>[11,12,3,1,9,10,2,7,8,5,6,4]
[4,6,5,8,7,2,10,9,1,12,11,3]=>[3,11,12,1,9,10,2,7,8,5,6,4]
[2,4,3,6,5,10,8,7,12,11,9,1]=>[1,9,11,12,7,8,10,5,6,3,4,2]
[6,8,7,10,9,2,4,12,11,3,1,5]=>[5,1,3,11,12,4,2,9,10,7,8,6]
[4,6,5,2,8,7,1,3,10,9,12,11]=>[11,12,9,10,3,1,7,8,2,5,6,4]
[4,6,5,2,8,7,1,3,10,12,11,9]=>[9,11,12,10,3,1,7,8,2,5,6,4]
[4,6,5,2,8,7,1,10,9,3,12,11]=>[11,12,3,9,10,1,7,8,2,5,6,4]
[4,6,5,2,8,7,1,10,9,12,11,3]=>[3,11,12,9,10,1,7,8,2,5,6,4]
[6,8,7,2,10,9,1,4,12,11,3,5]=>[5,3,11,12,4,1,9,10,2,7,8,6]
[2,4,3,8,6,5,10,9,7,1,12,11]=>[11,12,1,7,9,10,5,6,8,3,4,2]
[2,4,3,8,6,5,10,9,7,12,11,1]=>[1,11,12,7,9,10,5,6,8,3,4,2]
[6,8,7,2,10,9,4,3,12,11,1,5]=>[5,1,11,12,3,4,9,10,2,7,8,6]
[2,4,3,10,6,5,8,12,11,7,9,1]=>[1,9,7,11,12,8,5,6,10,3,4,2]
[6,8,7,2,4,10,9,3,1,5,12,11]=>[11,12,5,1,3,9,10,4,2,7,8,6]
[6,8,7,2,4,10,9,3,1,12,11,5]=>[5,11,12,1,3,9,10,4,2,7,8,6]
[2,4,3,8,10,6,5,9,12,11,7,1]=>[1,7,11,12,9,5,6,10,8,3,4,2]
[4,6,5,10,2,8,7,12,11,1,9,3]=>[3,9,1,11,12,7,8,2,10,5,6,4]
[8,10,9,4,2,6,12,11,5,1,3,7]=>[7,3,1,5,11,12,6,2,4,9,10,8]
[4,2,6,5,1,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,1,5,6,2,4]
[4,2,6,5,1,3,8,7,10,12,11,9]=>[9,11,12,10,7,8,3,1,5,6,2,4]
[4,2,6,5,1,3,8,10,9,7,12,11]=>[11,12,7,9,10,8,3,1,5,6,2,4]
[4,2,6,5,1,3,8,10,9,12,11,7]=>[7,11,12,9,10,8,3,1,5,6,2,4]
[4,2,6,5,1,3,10,8,12,11,7,9]=>[9,7,11,12,8,10,3,1,5,6,2,4]
[4,2,6,5,1,8,7,3,10,9,12,11]=>[11,12,9,10,3,7,8,1,5,6,2,4]
[4,2,6,5,1,8,7,3,10,12,11,9]=>[9,11,12,10,3,7,8,1,5,6,2,4]
[4,2,6,5,1,8,7,10,9,3,12,11]=>[11,12,3,9,10,7,8,1,5,6,2,4]
[4,2,6,5,1,8,7,10,9,12,11,3]=>[3,11,12,9,10,7,8,1,5,6,2,4]
[6,2,8,7,1,10,9,4,12,11,3,5]=>[5,3,11,12,4,9,10,1,7,8,2,6]
[6,2,8,7,1,4,10,9,3,5,12,11]=>[11,12,5,3,9,10,4,1,7,8,2,6]
[6,2,8,7,1,4,10,9,3,12,11,5]=>[5,11,12,3,9,10,4,1,7,8,2,6]
[4,2,6,5,1,10,8,7,12,11,9,3]=>[3,9,11,12,7,8,10,1,5,6,2,4]
[8,2,10,9,1,4,6,12,11,5,3,7]=>[7,3,5,11,12,6,4,1,9,10,2,8]
[2,6,4,3,8,7,5,1,10,9,12,11]=>[11,12,9,10,1,5,7,8,3,4,6,2]
[2,6,4,3,8,7,5,1,10,12,11,9]=>[9,11,12,10,1,5,7,8,3,4,6,2]
[2,6,4,3,8,7,5,10,9,1,12,11]=>[11,12,1,9,10,5,7,8,3,4,6,2]
[2,6,4,3,8,7,5,10,9,12,11,1]=>[1,11,12,9,10,5,7,8,3,4,6,2]
[4,8,6,5,10,9,7,2,12,11,1,3]=>[3,1,11,12,2,7,9,10,5,6,8,4]
[6,2,8,7,4,3,10,9,1,5,12,11]=>[11,12,5,1,9,10,3,4,7,8,2,6]
[6,2,8,7,4,3,10,9,1,12,11,5]=>[5,11,12,1,9,10,3,4,7,8,2,6]
[2,8,4,3,10,9,6,5,12,11,7,1]=>[1,7,11,12,5,6,9,10,3,4,8,2]
[8,2,10,9,4,3,6,12,11,5,1,7]=>[7,1,5,11,12,6,3,4,9,10,2,8]
[2,8,4,3,6,10,9,5,7,1,12,11]=>[11,12,1,7,5,9,10,6,3,4,8,2]
[2,8,4,3,6,10,9,5,7,12,11,1]=>[1,11,12,7,5,9,10,6,3,4,8,2]
[6,2,8,7,10,4,3,9,12,11,1,5]=>[5,1,11,12,9,3,4,10,7,8,2,6]
[8,4,10,9,2,6,5,12,11,1,3,7]=>[7,3,1,11,12,5,6,2,9,10,4,8]
[4,10,6,5,2,8,12,11,7,1,9,3]=>[3,9,1,7,11,12,8,2,5,6,10,4]
[6,2,4,8,7,3,1,5,10,9,12,11]=>[11,12,9,10,5,1,3,7,8,4,2,6]
[6,2,4,8,7,3,1,5,10,12,11,9]=>[9,11,12,10,5,1,3,7,8,4,2,6]
[6,2,4,8,7,3,1,10,9,5,12,11]=>[11,12,5,9,10,1,3,7,8,4,2,6]
[6,2,4,8,7,3,1,10,9,12,11,5]=>[5,11,12,9,10,1,3,7,8,4,2,6]
[8,2,4,10,9,3,1,6,12,11,5,7]=>[7,5,11,12,6,1,3,9,10,4,2,8]
[2,6,8,4,3,7,10,9,5,1,12,11]=>[11,12,1,5,9,10,7,3,4,8,6,2]
[2,6,8,4,3,7,10,9,5,12,11,1]=>[1,11,12,5,9,10,7,3,4,8,6,2]
[8,2,4,10,9,3,6,5,12,11,1,7]=>[7,1,11,12,5,6,3,9,10,4,2,8]
[2,8,10,4,3,9,6,12,11,5,7,1]=>[1,7,5,11,12,6,9,3,4,10,8,2]
[4,8,2,6,5,10,9,1,7,3,12,11]=>[11,12,3,7,1,9,10,5,6,2,8,4]
[4,8,2,6,5,10,9,1,7,12,11,3]=>[3,11,12,7,1,9,10,5,6,2,8,4]
[8,4,2,10,9,6,5,1,12,11,3,7]=>[7,3,11,12,1,5,6,9,10,2,4,8]
[6,2,10,8,7,4,3,12,11,9,1,5]=>[5,1,9,11,12,3,4,7,8,10,2,6]
[2,10,6,4,3,8,12,11,7,5,9,1]=>[1,9,5,7,11,12,8,3,4,6,10,2]
[8,4,2,6,10,9,5,1,3,7,12,11]=>[11,12,7,3,1,5,9,10,6,2,4,8]
[8,4,2,6,10,9,5,1,3,12,11,7]=>[7,11,12,3,1,5,9,10,6,2,4,8]
[4,8,2,10,6,5,9,1,12,11,7,3]=>[3,7,11,12,1,9,5,6,10,2,8,4]
[2,6,10,8,4,3,7,12,11,9,5,1]=>[1,5,9,11,12,7,3,4,8,10,6,2]
[6,10,2,4,8,7,12,11,3,1,9,5]=>[5,9,1,3,11,12,7,8,4,2,10,6]
[10,6,2,4,8,12,11,7,3,1,5,9]=>[9,5,1,3,7,11,12,8,4,2,6,10]
[6,9,12,3,5,8,11,1,2,4,7,10]=>[10,7,4,2,1,11,8,5,3,12,9,6]
[12,8,11,3,5,7,10,1,2,4,6,9]=>[9,6,4,2,1,10,7,5,3,11,8,12]
[12,11,10,3,5,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,5,3,10,11,12]
[12,5,8,11,4,7,10,1,2,3,6,9]=>[9,6,3,2,1,10,7,4,11,8,5,12]
[8,12,7,11,4,6,10,1,2,3,5,9]=>[9,5,3,2,1,10,6,4,11,7,12,8]
[12,11,7,10,4,6,9,1,2,3,5,8]=>[8,5,3,2,1,9,6,4,10,7,11,12]
[12,7,11,6,10,5,9,1,2,3,4,8]=>[8,4,3,2,1,9,5,10,6,11,7,12]
[12,5,8,11,2,4,7,10,1,3,6,9]=>[9,6,3,1,10,7,4,2,11,8,5,12]
[12,11,7,10,2,4,6,9,1,3,5,8]=>[8,5,3,1,9,6,4,2,10,7,11,12]
[8,12,4,7,11,3,6,10,1,2,5,9]=>[9,5,2,1,10,6,3,11,7,4,12,8]
[12,11,4,7,10,3,6,9,1,2,5,8]=>[8,5,2,1,9,6,3,10,7,4,11,12]
[12,7,11,6,10,3,5,9,1,2,4,8]=>[8,4,2,1,9,5,3,10,6,11,7,12]
[12,7,11,3,6,10,2,5,9,1,4,8]=>[8,4,1,9,5,2,10,6,3,11,7,12]
[5,3,10,8,12,7,1,6,9,4,11,2]=>[2,11,4,9,6,1,7,12,8,10,3,5]
[5,2,10,8,12,7,1,6,9,4,11,3]=>[3,11,4,9,6,1,7,12,8,10,2,5]
[4,10,8,12,7,3,6,9,1,5,11,2]=>[2,11,5,1,9,6,3,7,12,8,10,4]
[4,10,8,12,7,2,6,9,1,5,11,3]=>[3,11,5,1,9,6,2,7,12,8,10,4]
[10,8,12,7,3,6,9,2,5,11,1,4]=>[4,1,11,5,2,9,6,3,7,12,8,10]
[5,3,6,1,10,8,12,7,9,4,11,2]=>[2,11,4,9,7,12,8,10,1,6,3,5]
[5,2,6,1,10,8,12,7,9,4,11,3]=>[3,11,4,9,7,12,8,10,1,6,2,5]
[4,6,3,10,8,12,7,9,1,5,11,2]=>[2,11,5,1,9,7,12,8,10,3,6,4]
[4,6,2,10,8,12,7,9,1,5,11,3]=>[3,11,5,1,9,7,12,8,10,2,6,4]
[6,3,10,8,12,7,9,2,5,11,1,4]=>[4,1,11,5,2,9,7,12,8,10,3,6]
[4,5,3,10,8,12,7,9,1,6,11,2]=>[2,11,6,1,9,7,12,8,10,3,5,4]
[4,5,2,10,8,12,7,9,1,6,11,3]=>[3,11,6,1,9,7,12,8,10,2,5,4]
[5,3,10,8,12,7,9,2,6,11,1,4]=>[4,1,11,6,2,9,7,12,8,10,3,5]
[4,3,10,8,12,7,9,2,6,11,1,5]=>[5,1,11,6,2,9,7,12,8,10,3,4]
[5,3,9,10,7,1,6,12,8,4,11,2]=>[2,11,4,8,12,6,1,7,10,9,3,5]
[5,2,9,10,7,1,6,12,8,4,11,3]=>[3,11,4,8,12,6,1,7,10,9,2,5]
[4,9,10,7,3,6,12,8,1,5,11,2]=>[2,11,5,1,8,12,6,3,7,10,9,4]
[4,9,10,7,2,6,12,8,1,5,11,3]=>[3,11,5,1,8,12,6,2,7,10,9,4]
[9,10,7,3,6,12,8,2,5,11,1,4]=>[4,1,11,5,2,8,12,6,3,7,10,9]
[5,3,6,1,9,10,7,12,8,4,11,2]=>[2,11,4,8,12,7,10,9,1,6,3,5]
[5,2,6,1,9,10,7,12,8,4,11,3]=>[3,11,4,8,12,7,10,9,1,6,2,5]
[4,6,3,9,10,7,12,8,1,5,11,2]=>[2,11,5,1,8,12,7,10,9,3,6,4]
[4,6,2,9,10,7,12,8,1,5,11,3]=>[3,11,5,1,8,12,7,10,9,2,6,4]
[6,3,9,10,7,12,8,2,5,11,1,4]=>[4,1,11,5,2,8,12,7,10,9,3,6]
[4,5,3,9,10,7,12,8,1,6,11,2]=>[2,11,6,1,8,12,7,10,9,3,5,4]
[4,5,2,9,10,7,12,8,1,6,11,3]=>[3,11,6,1,8,12,7,10,9,2,5,4]
[5,3,9,10,7,12,8,2,6,11,1,4]=>[4,1,11,6,2,8,12,7,10,9,3,5]
[4,3,9,10,7,12,8,2,6,11,1,5]=>[5,1,11,6,2,8,12,7,10,9,3,4]
[5,3,6,1,9,10,8,12,7,4,11,2]=>[2,11,4,7,12,8,10,9,1,6,3,5]
[5,2,6,1,9,10,8,12,7,4,11,3]=>[3,11,4,7,12,8,10,9,1,6,2,5]
[4,6,3,9,10,8,12,7,1,5,11,2]=>[2,11,5,1,7,12,8,10,9,3,6,4]
[4,6,2,9,10,8,12,7,1,5,11,3]=>[3,11,5,1,7,12,8,10,9,2,6,4]
[6,3,9,10,8,12,7,2,5,11,1,4]=>[4,1,11,5,2,7,12,8,10,9,3,6]
[4,5,3,9,10,8,12,7,1,6,11,2]=>[2,11,6,1,7,12,8,10,9,3,5,4]
[4,5,2,9,10,8,12,7,1,6,11,3]=>[3,11,6,1,7,12,8,10,9,2,5,4]
[5,3,9,10,8,12,7,2,6,11,1,4]=>[4,1,11,6,2,7,12,8,10,9,3,5]
[4,3,9,10,8,12,7,2,6,11,1,5]=>[5,1,11,6,2,7,12,8,10,9,3,4]
[4,5,3,6,1,9,10,8,12,7,11,2]=>[2,11,7,12,8,10,9,1,6,3,5,4]
[4,5,2,6,1,9,10,8,12,7,11,3]=>[3,11,7,12,8,10,9,1,6,2,5,4]
[5,3,6,2,9,10,8,12,7,11,1,4]=>[4,1,11,7,12,8,10,9,2,6,3,5]
[4,3,6,2,9,10,8,12,7,11,1,5]=>[5,1,11,7,12,8,10,9,2,6,3,4]
[4,3,5,2,9,10,8,12,7,11,1,6]=>[6,1,11,7,12,8,10,9,2,5,3,4]
[5,3,11,8,12,7,1,6,9,4,10,2]=>[2,10,4,9,6,1,7,12,8,11,3,5]
[5,2,11,8,12,7,1,6,9,4,10,3]=>[3,10,4,9,6,1,7,12,8,11,2,5]
[4,11,8,12,7,3,6,9,1,5,10,2]=>[2,10,5,1,9,6,3,7,12,8,11,4]
[4,11,8,12,7,2,6,9,1,5,10,3]=>[3,10,5,1,9,6,2,7,12,8,11,4]
[11,8,12,7,3,6,9,2,5,10,1,4]=>[4,1,10,5,2,9,6,3,7,12,8,11]
[5,3,6,1,11,8,12,7,9,4,10,2]=>[2,10,4,9,7,12,8,11,1,6,3,5]
[5,2,6,1,11,8,12,7,9,4,10,3]=>[3,10,4,9,7,12,8,11,1,6,2,5]
[4,6,3,11,8,12,7,9,1,5,10,2]=>[2,10,5,1,9,7,12,8,11,3,6,4]
[4,6,2,11,8,12,7,9,1,5,10,3]=>[3,10,5,1,9,7,12,8,11,2,6,4]
[6,3,11,8,12,7,9,2,5,10,1,4]=>[4,1,10,5,2,9,7,12,8,11,3,6]
[4,5,3,11,8,12,7,9,1,6,10,2]=>[2,10,6,1,9,7,12,8,11,3,5,4]
[4,5,2,11,8,12,7,9,1,6,10,3]=>[3,10,6,1,9,7,12,8,11,2,5,4]
[5,3,11,8,12,7,9,2,6,10,1,4]=>[4,1,10,6,2,9,7,12,8,11,3,5]
[4,3,11,8,12,7,9,2,6,10,1,5]=>[5,1,10,6,2,9,7,12,8,11,3,4]
[5,3,9,11,7,1,6,12,8,4,10,2]=>[2,10,4,8,12,6,1,7,11,9,3,5]
[5,2,9,11,7,1,6,12,8,4,10,3]=>[3,10,4,8,12,6,1,7,11,9,2,5]
[4,9,11,7,3,6,12,8,1,5,10,2]=>[2,10,5,1,8,12,6,3,7,11,9,4]
[4,9,11,7,2,6,12,8,1,5,10,3]=>[3,10,5,1,8,12,6,2,7,11,9,4]
[9,11,7,3,6,12,8,2,5,10,1,4]=>[4,1,10,5,2,8,12,6,3,7,11,9]
[5,3,6,1,9,11,7,12,8,4,10,2]=>[2,10,4,8,12,7,11,9,1,6,3,5]
[5,2,6,1,9,11,7,12,8,4,10,3]=>[3,10,4,8,12,7,11,9,1,6,2,5]
[4,6,3,9,11,7,12,8,1,5,10,2]=>[2,10,5,1,8,12,7,11,9,3,6,4]
[4,6,2,9,11,7,12,8,1,5,10,3]=>[3,10,5,1,8,12,7,11,9,2,6,4]
[6,3,9,11,7,12,8,2,5,10,1,4]=>[4,1,10,5,2,8,12,7,11,9,3,6]
[4,5,3,9,11,7,12,8,1,6,10,2]=>[2,10,6,1,8,12,7,11,9,3,5,4]
[4,5,2,9,11,7,12,8,1,6,10,3]=>[3,10,6,1,8,12,7,11,9,2,5,4]
[5,3,9,11,7,12,8,2,6,10,1,4]=>[4,1,10,6,2,8,12,7,11,9,3,5]
[4,3,9,11,7,12,8,2,6,10,1,5]=>[5,1,10,6,2,8,12,7,11,9,3,4]
[5,3,6,1,9,11,8,12,7,4,10,2]=>[2,10,4,7,12,8,11,9,1,6,3,5]
[5,2,6,1,9,11,8,12,7,4,10,3]=>[3,10,4,7,12,8,11,9,1,6,2,5]
[4,6,3,9,11,8,12,7,1,5,10,2]=>[2,10,5,1,7,12,8,11,9,3,6,4]
[4,6,2,9,11,8,12,7,1,5,10,3]=>[3,10,5,1,7,12,8,11,9,2,6,4]
[6,3,9,11,8,12,7,2,5,10,1,4]=>[4,1,10,5,2,7,12,8,11,9,3,6]
[4,5,3,9,11,8,12,7,1,6,10,2]=>[2,10,6,1,7,12,8,11,9,3,5,4]
[4,5,2,9,11,8,12,7,1,6,10,3]=>[3,10,6,1,7,12,8,11,9,2,5,4]
[5,3,9,11,8,12,7,2,6,10,1,4]=>[4,1,10,6,2,7,12,8,11,9,3,5]
[4,3,9,11,8,12,7,2,6,10,1,5]=>[5,1,10,6,2,7,12,8,11,9,3,4]
[4,5,3,6,1,9,11,8,12,7,10,2]=>[2,10,7,12,8,11,9,1,6,3,5,4]
[4,5,2,6,1,9,11,8,12,7,10,3]=>[3,10,7,12,8,11,9,1,6,2,5,4]
[5,3,6,2,9,11,8,12,7,10,1,4]=>[4,1,10,7,12,8,11,9,2,6,3,5]
[4,3,6,2,9,11,8,12,7,10,1,5]=>[5,1,10,7,12,8,11,9,2,6,3,4]
[4,3,5,2,9,11,8,12,7,10,1,6]=>[6,1,10,7,12,8,11,9,2,5,3,4]
[5,3,10,7,1,6,11,8,4,12,9,2]=>[2,9,12,4,8,11,6,1,7,10,3,5]
[5,2,10,7,1,6,11,8,4,12,9,3]=>[3,9,12,4,8,11,6,1,7,10,2,5]
[4,10,7,3,6,11,8,1,5,12,9,2]=>[2,9,12,5,1,8,11,6,3,7,10,4]
[4,10,7,2,6,11,8,1,5,12,9,3]=>[3,9,12,5,1,8,11,6,2,7,10,4]
[10,7,3,6,11,8,2,5,12,9,1,4]=>[4,1,9,12,5,2,8,11,6,3,7,10]
[5,3,6,1,10,7,11,8,4,12,9,2]=>[2,9,12,4,8,11,7,10,1,6,3,5]
[5,2,6,1,10,7,11,8,4,12,9,3]=>[3,9,12,4,8,11,7,10,1,6,2,5]
[4,6,3,10,7,11,8,1,5,12,9,2]=>[2,9,12,5,1,8,11,7,10,3,6,4]
[4,6,2,10,7,11,8,1,5,12,9,3]=>[3,9,12,5,1,8,11,7,10,2,6,4]
[6,3,10,7,11,8,2,5,12,9,1,4]=>[4,1,9,12,5,2,8,11,7,10,3,6]
[4,5,3,10,7,11,8,1,6,12,9,2]=>[2,9,12,6,1,8,11,7,10,3,5,4]
[4,5,2,10,7,11,8,1,6,12,9,3]=>[3,9,12,6,1,8,11,7,10,2,5,4]
[5,3,10,7,11,8,2,6,12,9,1,4]=>[4,1,9,12,6,2,8,11,7,10,3,5]
[4,3,10,7,11,8,2,6,12,9,1,5]=>[5,1,9,12,6,2,8,11,7,10,3,4]
[5,3,6,1,10,8,11,7,4,12,9,2]=>[2,9,12,4,7,11,8,10,1,6,3,5]
[5,2,6,1,10,8,11,7,4,12,9,3]=>[3,9,12,4,7,11,8,10,1,6,2,5]
[4,6,3,10,8,11,7,1,5,12,9,2]=>[2,9,12,5,1,7,11,8,10,3,6,4]
[4,6,2,10,8,11,7,1,5,12,9,3]=>[3,9,12,5,1,7,11,8,10,2,6,4]
[6,3,10,8,11,7,2,5,12,9,1,4]=>[4,1,9,12,5,2,7,11,8,10,3,6]
[4,5,3,10,8,11,7,1,6,12,9,2]=>[2,9,12,6,1,7,11,8,10,3,5,4]
[4,5,2,10,8,11,7,1,6,12,9,3]=>[3,9,12,6,1,7,11,8,10,2,5,4]
[5,3,10,8,11,7,2,6,12,9,1,4]=>[4,1,9,12,6,2,7,11,8,10,3,5]
[4,3,10,8,11,7,2,6,12,9,1,5]=>[5,1,9,12,6,2,7,11,8,10,3,4]
[4,5,3,6,1,10,8,11,7,12,9,2]=>[2,9,12,7,11,8,10,1,6,3,5,4]
[4,5,2,6,1,10,8,11,7,12,9,3]=>[3,9,12,7,11,8,10,1,6,2,5,4]
[5,3,6,2,10,8,11,7,12,9,1,4]=>[4,1,9,12,7,11,8,10,2,6,3,5]
[4,3,6,2,10,8,11,7,12,9,1,5]=>[5,1,9,12,7,11,8,10,2,6,3,4]
[4,3,5,2,10,8,11,7,12,9,1,6]=>[6,1,9,12,7,11,8,10,2,5,3,4]
[5,3,6,1,10,9,11,7,4,12,8,2]=>[2,8,12,4,7,11,9,10,1,6,3,5]
[5,2,6,1,10,9,11,7,4,12,8,3]=>[3,8,12,4,7,11,9,10,1,6,2,5]
[4,6,3,10,9,11,7,1,5,12,8,2]=>[2,8,12,5,1,7,11,9,10,3,6,4]
[4,6,2,10,9,11,7,1,5,12,8,3]=>[3,8,12,5,1,7,11,9,10,2,6,4]
[6,3,10,9,11,7,2,5,12,8,1,4]=>[4,1,8,12,5,2,7,11,9,10,3,6]
[4,5,3,10,9,11,7,1,6,12,8,2]=>[2,8,12,6,1,7,11,9,10,3,5,4]
[4,5,2,10,9,11,7,1,6,12,8,3]=>[3,8,12,6,1,7,11,9,10,2,5,4]
[5,3,10,9,11,7,2,6,12,8,1,4]=>[4,1,8,12,6,2,7,11,9,10,3,5]
[4,3,10,9,11,7,2,6,12,8,1,5]=>[5,1,8,12,6,2,7,11,9,10,3,4]
[4,5,3,6,1,10,9,11,7,12,8,2]=>[2,8,12,7,11,9,10,1,6,3,5,4]
[4,5,2,6,1,10,9,11,7,12,8,3]=>[3,8,12,7,11,9,10,1,6,2,5,4]
[5,3,6,2,10,9,11,7,12,8,1,4]=>[4,1,8,12,7,11,9,10,2,6,3,5]
[4,3,6,2,10,9,11,7,12,8,1,5]=>[5,1,8,12,7,11,9,10,2,6,3,4]
[4,3,5,2,10,9,11,7,12,8,1,6]=>[6,1,8,12,7,11,9,10,2,5,3,4]
[4,5,3,6,1,10,9,11,8,12,7,2]=>[2,7,12,8,11,9,10,1,6,3,5,4]
[4,5,2,6,1,10,9,11,8,12,7,3]=>[3,7,12,8,11,9,10,1,6,2,5,4]
[5,3,6,2,10,9,11,8,12,7,1,4]=>[4,1,7,12,8,11,9,10,2,6,3,5]
[4,3,6,2,10,9,11,8,12,7,1,5]=>[5,1,7,12,8,11,9,10,2,6,3,4]
[4,3,5,2,10,9,11,8,12,7,1,6]=>[6,1,7,12,8,11,9,10,2,5,3,4]
[2,1,3,4,5,6,7,8,9,12,10,11]=>[11,10,12,9,8,7,6,5,4,3,1,2]
[1,12,2,11,3,10,4,9,5,7,8,6]=>[6,8,7,5,9,4,10,3,11,2,12,1]
[2,1,3,4,5,6,7,8,9,10,12,11]=>[11,12,10,9,8,7,6,5,4,3,1,2]
[2,3,4,5,6,7,8,9,11,12,1,10]=>[10,1,12,11,9,8,7,6,5,4,3,2]
[3,2,4,5,6,7,8,9,10,11,12,1]=>[1,12,11,10,9,8,7,6,5,4,2,3]
[3,5,4,7,6,9,8,11,10,12,1,2]=>[2,1,12,10,11,8,9,6,7,4,5,3]
[1,11,10,9,8,7,6,5,4,3,12,2]=>[2,12,3,4,5,6,7,8,9,10,11,1]
[8,5,7,6,10,3,9,4,12,1,11,2]=>[2,11,1,12,4,9,3,10,6,7,5,8]
[8,5,7,6,11,3,9,4,12,1,10,2]=>[2,10,1,12,4,9,3,11,6,7,5,8]
[9,5,7,6,10,3,8,4,12,1,11,2]=>[2,11,1,12,4,8,3,10,6,7,5,9]
[9,5,7,6,11,3,8,4,12,1,10,2]=>[2,10,1,12,4,8,3,11,6,7,5,9]
[10,5,7,6,11,3,8,4,12,1,9,2]=>[2,9,1,12,4,8,3,11,6,7,5,10]
[8,6,5,7,10,3,9,4,12,1,11,2]=>[2,11,1,12,4,9,3,10,7,5,6,8]
[8,6,5,7,11,3,9,4,12,1,10,2]=>[2,10,1,12,4,9,3,11,7,5,6,8]
[9,6,5,7,10,3,8,4,12,1,11,2]=>[2,11,1,12,4,8,3,10,7,5,6,9]
[9,6,5,7,11,3,8,4,12,1,10,2]=>[2,10,1,12,4,8,3,11,7,5,6,9]
[10,6,5,7,11,3,8,4,12,1,9,2]=>[2,9,1,12,4,8,3,11,7,5,6,10]
[8,9,6,5,10,3,7,4,12,1,11,2]=>[2,11,1,12,4,7,3,10,5,6,9,8]
[8,9,6,5,11,3,7,4,12,1,10,2]=>[2,10,1,12,4,7,3,11,5,6,9,8]
[8,10,6,5,11,3,7,4,12,1,9,2]=>[2,9,1,12,4,7,3,11,5,6,10,8]
[9,6,5,10,3,7,4,11,1,12,8,2]=>[2,8,12,1,11,4,7,3,10,5,6,9]
[8,4,7,6,10,3,9,5,12,1,11,2]=>[2,11,1,12,5,9,3,10,6,7,4,8]
[8,4,7,6,11,3,9,5,12,1,10,2]=>[2,10,1,12,5,9,3,11,6,7,4,8]
[9,4,7,6,10,3,8,5,12,1,11,2]=>[2,11,1,12,5,8,3,10,6,7,4,9]
[9,4,7,6,11,3,8,5,12,1,10,2]=>[2,10,1,12,5,8,3,11,6,7,4,9]
[10,4,7,6,11,3,8,5,12,1,9,2]=>[2,9,1,12,5,8,3,11,6,7,4,10]
[8,6,4,7,10,3,9,5,12,1,11,2]=>[2,11,1,12,5,9,3,10,7,4,6,8]
[8,6,4,7,11,3,9,5,12,1,10,2]=>[2,10,1,12,5,9,3,11,7,4,6,8]
[9,6,4,7,10,3,8,5,12,1,11,2]=>[2,11,1,12,5,8,3,10,7,4,6,9]
[9,6,4,7,11,3,8,5,12,1,10,2]=>[2,10,1,12,5,8,3,11,7,4,6,9]
[10,6,4,7,11,3,8,5,12,1,9,2]=>[2,9,1,12,5,8,3,11,7,4,6,10]
[8,9,6,4,10,3,7,5,12,1,11,2]=>[2,11,1,12,5,7,3,10,4,6,9,8]
[8,9,6,4,11,3,7,5,12,1,10,2]=>[2,10,1,12,5,7,3,11,4,6,9,8]
[8,10,6,4,11,3,7,5,12,1,9,2]=>[2,9,1,12,5,7,3,11,4,6,10,8]
[9,6,4,10,3,7,5,11,1,12,8,2]=>[2,8,12,1,11,5,7,3,10,4,6,9]
[5,8,4,7,10,3,9,6,12,1,11,2]=>[2,11,1,12,6,9,3,10,7,4,8,5]
[5,8,4,7,11,3,9,6,12,1,10,2]=>[2,10,1,12,6,9,3,11,7,4,8,5]
[5,9,4,7,10,3,8,6,12,1,11,2]=>[2,11,1,12,6,8,3,10,7,4,9,5]
[5,9,4,7,11,3,8,6,12,1,10,2]=>[2,10,1,12,6,8,3,11,7,4,9,5]
[5,10,4,7,11,3,8,6,12,1,9,2]=>[2,9,1,12,6,8,3,11,7,4,10,5]
[5,8,9,4,10,3,7,6,12,1,11,2]=>[2,11,1,12,6,7,3,10,4,9,8,5]
[5,8,9,4,11,3,7,6,12,1,10,2]=>[2,10,1,12,6,7,3,11,4,9,8,5]
[5,8,10,4,11,3,7,6,12,1,9,2]=>[2,9,1,12,6,7,3,11,4,10,8,5]
[5,9,4,10,3,7,6,11,1,12,8,2]=>[2,8,12,1,11,6,7,3,10,4,9,5]
[5,8,9,4,10,6,3,7,12,1,11,2]=>[2,11,1,12,7,3,6,10,4,9,8,5]
[5,8,9,4,11,6,3,7,12,1,10,2]=>[2,10,1,12,7,3,6,11,4,9,8,5]
[5,8,10,4,11,6,3,7,12,1,9,2]=>[2,9,1,12,7,3,6,11,4,10,8,5]
[5,9,4,10,6,3,7,11,1,12,8,2]=>[2,8,12,1,11,7,3,6,10,4,9,5]
[5,9,4,10,8,11,6,3,12,1,7,2]=>[2,7,1,12,3,6,11,8,10,4,9,5]
[8,5,7,6,10,2,9,4,12,1,11,3]=>[3,11,1,12,4,9,2,10,6,7,5,8]
[8,5,7,6,11,2,9,4,12,1,10,3]=>[3,10,1,12,4,9,2,11,6,7,5,8]
[9,5,7,6,10,2,8,4,12,1,11,3]=>[3,11,1,12,4,8,2,10,6,7,5,9]
[9,5,7,6,11,2,8,4,12,1,10,3]=>[3,10,1,12,4,8,2,11,6,7,5,9]
[10,5,7,6,11,2,8,4,12,1,9,3]=>[3,9,1,12,4,8,2,11,6,7,5,10]
[8,6,5,7,10,2,9,4,12,1,11,3]=>[3,11,1,12,4,9,2,10,7,5,6,8]
[8,6,5,7,11,2,9,4,12,1,10,3]=>[3,10,1,12,4,9,2,11,7,5,6,8]
[9,6,5,7,10,2,8,4,12,1,11,3]=>[3,11,1,12,4,8,2,10,7,5,6,9]
[9,6,5,7,11,2,8,4,12,1,10,3]=>[3,10,1,12,4,8,2,11,7,5,6,9]
[10,6,5,7,11,2,8,4,12,1,9,3]=>[3,9,1,12,4,8,2,11,7,5,6,10]
[8,9,6,5,10,2,7,4,12,1,11,3]=>[3,11,1,12,4,7,2,10,5,6,9,8]
[8,9,6,5,11,2,7,4,12,1,10,3]=>[3,10,1,12,4,7,2,11,5,6,9,8]
[8,10,6,5,11,2,7,4,12,1,9,3]=>[3,9,1,12,4,7,2,11,5,6,10,8]
[9,6,5,10,2,7,4,11,1,12,8,3]=>[3,8,12,1,11,4,7,2,10,5,6,9]
[8,4,7,6,10,2,9,5,12,1,11,3]=>[3,11,1,12,5,9,2,10,6,7,4,8]
[8,4,7,6,11,2,9,5,12,1,10,3]=>[3,10,1,12,5,9,2,11,6,7,4,8]
[9,4,7,6,10,2,8,5,12,1,11,3]=>[3,11,1,12,5,8,2,10,6,7,4,9]
[9,4,7,6,11,2,8,5,12,1,10,3]=>[3,10,1,12,5,8,2,11,6,7,4,9]
[10,4,7,6,11,2,8,5,12,1,9,3]=>[3,9,1,12,5,8,2,11,6,7,4,10]
[8,6,4,7,10,2,9,5,12,1,11,3]=>[3,11,1,12,5,9,2,10,7,4,6,8]
[8,6,4,7,11,2,9,5,12,1,10,3]=>[3,10,1,12,5,9,2,11,7,4,6,8]
[9,6,4,7,10,2,8,5,12,1,11,3]=>[3,11,1,12,5,8,2,10,7,4,6,9]
[9,6,4,7,11,2,8,5,12,1,10,3]=>[3,10,1,12,5,8,2,11,7,4,6,9]
[10,6,4,7,11,2,8,5,12,1,9,3]=>[3,9,1,12,5,8,2,11,7,4,6,10]
[8,9,6,4,10,2,7,5,12,1,11,3]=>[3,11,1,12,5,7,2,10,4,6,9,8]
[8,9,6,4,11,2,7,5,12,1,10,3]=>[3,10,1,12,5,7,2,11,4,6,9,8]
[8,10,6,4,11,2,7,5,12,1,9,3]=>[3,9,1,12,5,7,2,11,4,6,10,8]
[9,6,4,10,2,7,5,11,1,12,8,3]=>[3,8,12,1,11,5,7,2,10,4,6,9]
[5,8,4,7,10,2,9,6,12,1,11,3]=>[3,11,1,12,6,9,2,10,7,4,8,5]
[5,8,4,7,11,2,9,6,12,1,10,3]=>[3,10,1,12,6,9,2,11,7,4,8,5]
[5,9,4,7,10,2,8,6,12,1,11,3]=>[3,11,1,12,6,8,2,10,7,4,9,5]
[5,9,4,7,11,2,8,6,12,1,10,3]=>[3,10,1,12,6,8,2,11,7,4,9,5]
[5,10,4,7,11,2,8,6,12,1,9,3]=>[3,9,1,12,6,8,2,11,7,4,10,5]
[5,8,9,4,10,2,7,6,12,1,11,3]=>[3,11,1,12,6,7,2,10,4,9,8,5]
[5,8,9,4,11,2,7,6,12,1,10,3]=>[3,10,1,12,6,7,2,11,4,9,8,5]
[5,8,10,4,11,2,7,6,12,1,9,3]=>[3,9,1,12,6,7,2,11,4,10,8,5]
[5,9,4,10,2,7,6,11,1,12,8,3]=>[3,8,12,1,11,6,7,2,10,4,9,5]
[5,8,9,4,10,6,2,7,12,1,11,3]=>[3,11,1,12,7,2,6,10,4,9,8,5]
[5,8,9,4,11,6,2,7,12,1,10,3]=>[3,10,1,12,7,2,6,11,4,9,8,5]
[5,8,10,4,11,6,2,7,12,1,9,3]=>[3,9,1,12,7,2,6,11,4,10,8,5]
[5,9,4,10,6,2,7,11,1,12,8,3]=>[3,8,12,1,11,7,2,6,10,4,9,5]
[5,9,4,10,8,11,6,2,12,1,7,3]=>[3,7,1,12,2,6,11,8,10,4,9,5]
[8,3,7,6,10,2,9,5,12,1,11,4]=>[4,11,1,12,5,9,2,10,6,7,3,8]
[8,3,7,6,11,2,9,5,12,1,10,4]=>[4,10,1,12,5,9,2,11,6,7,3,8]
[9,3,7,6,10,2,8,5,12,1,11,4]=>[4,11,1,12,5,8,2,10,6,7,3,9]
[9,3,7,6,11,2,8,5,12,1,10,4]=>[4,10,1,12,5,8,2,11,6,7,3,9]
[10,3,7,6,11,2,8,5,12,1,9,4]=>[4,9,1,12,5,8,2,11,6,7,3,10]
[8,6,3,7,10,2,9,5,12,1,11,4]=>[4,11,1,12,5,9,2,10,7,3,6,8]
[8,6,3,7,11,2,9,5,12,1,10,4]=>[4,10,1,12,5,9,2,11,7,3,6,8]
[9,6,3,7,10,2,8,5,12,1,11,4]=>[4,11,1,12,5,8,2,10,7,3,6,9]
[9,6,3,7,11,2,8,5,12,1,10,4]=>[4,10,1,12,5,8,2,11,7,3,6,9]
[10,6,3,7,11,2,8,5,12,1,9,4]=>[4,9,1,12,5,8,2,11,7,3,6,10]
[8,9,6,3,10,2,7,5,12,1,11,4]=>[4,11,1,12,5,7,2,10,3,6,9,8]
[8,9,6,3,11,2,7,5,12,1,10,4]=>[4,10,1,12,5,7,2,11,3,6,9,8]
[8,10,6,3,11,2,7,5,12,1,9,4]=>[4,9,1,12,5,7,2,11,3,6,10,8]
[9,6,3,10,2,7,5,11,1,12,8,4]=>[4,8,12,1,11,5,7,2,10,3,6,9]
[5,8,3,7,10,2,9,6,12,1,11,4]=>[4,11,1,12,6,9,2,10,7,3,8,5]
[5,8,3,7,11,2,9,6,12,1,10,4]=>[4,10,1,12,6,9,2,11,7,3,8,5]
[5,9,3,7,10,2,8,6,12,1,11,4]=>[4,11,1,12,6,8,2,10,7,3,9,5]
[5,9,3,7,11,2,8,6,12,1,10,4]=>[4,10,1,12,6,8,2,11,7,3,9,5]
[5,10,3,7,11,2,8,6,12,1,9,4]=>[4,9,1,12,6,8,2,11,7,3,10,5]
[5,8,9,3,10,2,7,6,12,1,11,4]=>[4,11,1,12,6,7,2,10,3,9,8,5]
[5,8,9,3,11,2,7,6,12,1,10,4]=>[4,10,1,12,6,7,2,11,3,9,8,5]
[5,8,10,3,11,2,7,6,12,1,9,4]=>[4,9,1,12,6,7,2,11,3,10,8,5]
[5,9,3,10,2,7,6,11,1,12,8,4]=>[4,8,12,1,11,6,7,2,10,3,9,5]
[5,8,9,3,10,6,2,7,12,1,11,4]=>[4,11,1,12,7,2,6,10,3,9,8,5]
[5,8,9,3,11,6,2,7,12,1,10,4]=>[4,10,1,12,7,2,6,11,3,9,8,5]
[5,8,10,3,11,6,2,7,12,1,9,4]=>[4,9,1,12,7,2,6,11,3,10,8,5]
[5,9,3,10,6,2,7,11,1,12,8,4]=>[4,8,12,1,11,7,2,6,10,3,9,5]
[5,9,3,10,8,11,6,2,12,1,7,4]=>[4,7,1,12,2,6,11,8,10,3,9,5]
[8,4,7,10,3,9,6,12,2,11,1,5]=>[5,1,11,2,12,6,9,3,10,7,4,8]
[8,4,7,11,3,9,6,12,2,10,1,5]=>[5,1,10,2,12,6,9,3,11,7,4,8]
[9,4,7,10,3,8,6,12,2,11,1,5]=>[5,1,11,2,12,6,8,3,10,7,4,9]
[9,4,7,11,3,8,6,12,2,10,1,5]=>[5,1,10,2,12,6,8,3,11,7,4,9]
[10,4,7,11,3,8,6,12,2,9,1,5]=>[5,1,9,2,12,6,8,3,11,7,4,10]
[8,9,4,10,3,7,6,12,2,11,1,5]=>[5,1,11,2,12,6,7,3,10,4,9,8]
[8,9,4,11,3,7,6,12,2,10,1,5]=>[5,1,10,2,12,6,7,3,11,4,9,8]
[8,10,4,11,3,7,6,12,2,9,1,5]=>[5,1,9,2,12,6,7,3,11,4,10,8]
[9,4,10,3,7,6,11,2,12,8,1,5]=>[5,1,8,12,2,11,6,7,3,10,4,9]
[8,9,4,10,6,3,7,12,2,11,1,5]=>[5,1,11,2,12,7,3,6,10,4,9,8]
[8,9,4,11,6,3,7,12,2,10,1,5]=>[5,1,10,2,12,7,3,6,11,4,9,8]
[8,10,4,11,6,3,7,12,2,9,1,5]=>[5,1,9,2,12,7,3,6,11,4,10,8]
[9,4,10,6,3,7,11,2,12,8,1,5]=>[5,1,8,12,2,11,7,3,6,10,4,9]
[9,4,10,8,11,6,3,12,2,7,1,5]=>[5,1,7,2,12,3,6,11,8,10,4,9]
[8,9,4,5,3,10,2,7,12,1,11,6]=>[6,11,1,12,7,2,10,3,5,4,9,8]
[8,9,4,5,3,11,2,7,12,1,10,6]=>[6,10,1,12,7,2,11,3,5,4,9,8]
[8,10,4,5,3,11,2,7,12,1,9,6]=>[6,9,1,12,7,2,11,3,5,4,10,8]
[9,4,5,3,10,2,7,11,1,12,8,6]=>[6,8,12,1,11,7,2,10,3,5,4,9]
[9,4,5,3,10,8,11,2,12,1,7,6]=>[6,7,1,12,2,11,8,10,3,5,4,9]
[9,4,5,3,10,8,11,2,12,6,1,7]=>[7,1,6,12,2,11,8,10,3,5,4,9]
[1,11,2,12,3,9,4,10,5,7,6,8]=>[8,6,7,5,10,4,9,3,12,2,11,1]
[1,10,4,11,2,12,3,9,5,7,6,8]=>[8,6,7,5,9,3,12,2,11,4,10,1]
[1,11,2,12,3,8,6,9,4,10,5,7]=>[7,5,10,4,9,6,8,3,12,2,11,1]
[1,10,4,11,2,12,3,8,6,9,5,7]=>[7,5,9,6,8,3,12,2,11,4,10,1]
[1,9,3,8,6,10,4,11,2,12,5,7]=>[7,5,12,2,11,4,10,6,8,3,9,1]
[1,11,2,12,3,9,4,10,5,6,8,7]=>[7,8,6,5,10,4,9,3,12,2,11,1]
[1,10,4,11,2,12,3,9,5,6,8,7]=>[7,8,6,5,9,3,12,2,11,4,10,1]
[1,11,2,12,3,8,7,5,6,9,4,10]=>[10,4,9,6,5,7,8,3,12,2,11,1]
[1,10,4,11,2,12,3,8,7,5,6,9]=>[9,6,5,7,8,3,12,2,11,4,10,1]
[1,9,3,8,7,5,6,10,4,11,2,12]=>[12,2,11,4,10,6,5,7,8,3,9,1]
[1,11,2,12,3,7,5,6,9,4,10,8]=>[8,10,4,9,6,5,7,3,12,2,11,1]
[1,10,4,11,2,12,3,7,5,6,9,8]=>[8,9,6,5,7,3,12,2,11,4,10,1]
[1,9,3,7,5,6,10,4,11,2,12,8]=>[8,12,2,11,4,10,6,5,7,3,9,1]
[1,8,9,3,7,5,6,10,4,11,2,12]=>[12,2,11,4,10,6,5,7,3,9,8,1]
[1,10,5,7,4,11,2,12,3,9,6,8]=>[8,6,9,3,12,2,11,4,7,5,10,1]
[1,10,5,7,4,11,2,12,3,8,6,9]=>[9,6,8,3,12,2,11,4,7,5,10,1]
[1,9,3,8,6,10,5,7,4,11,2,12]=>[12,2,11,4,7,5,10,6,8,3,9,1]
[1,10,5,6,8,7,4,11,2,12,3,9]=>[9,3,12,2,11,4,7,8,6,5,10,1]
[1,11,2,12,3,8,7,4,10,5,6,9]=>[9,6,5,10,4,7,8,3,12,2,11,1]
[1,10,5,6,9,3,8,7,4,11,2,12]=>[12,2,11,4,7,8,3,9,6,5,10,1]
[1,9,3,8,7,4,11,2,12,5,6,10]=>[10,6,5,12,2,11,4,7,8,3,9,1]
[1,11,2,12,3,7,4,10,5,6,9,8]=>[8,9,6,5,10,4,7,3,12,2,11,1]
[1,10,5,6,9,3,7,4,11,2,12,8]=>[8,12,2,11,4,7,3,9,6,5,10,1]
[1,9,3,7,4,11,2,12,5,6,10,8]=>[8,10,6,5,12,2,11,4,7,3,9,1]
[1,8,9,3,7,4,11,2,12,5,6,10]=>[10,6,5,12,2,11,4,7,3,9,8,1]
[1,11,2,12,3,9,4,10,6,8,7,5]=>[5,7,8,6,10,4,9,3,12,2,11,1]
[1,10,6,8,7,4,11,2,12,3,9,5]=>[5,9,3,12,2,11,4,7,8,6,10,1]
[1,11,2,12,3,8,7,4,10,6,9,5]=>[5,9,6,10,4,7,8,3,12,2,11,1]
[1,10,6,9,3,8,7,4,11,2,12,5]=>[5,12,2,11,4,7,8,3,9,6,10,1]
[1,11,2,12,3,7,4,10,6,9,5,8]=>[8,5,9,6,10,4,7,3,12,2,11,1]
[1,10,6,9,3,7,4,11,2,12,5,8]=>[8,5,12,2,11,4,7,3,9,6,10,1]
[1,11,2,12,3,6,9,4,10,7,5,8]=>[8,5,7,10,4,9,6,3,12,2,11,1]
[1,10,7,4,11,2,12,3,6,9,5,8]=>[8,5,9,6,3,12,2,11,4,7,10,1]
[1,9,3,6,10,7,4,11,2,12,5,8]=>[8,5,12,2,11,4,7,10,6,3,9,1]
[1,8,9,3,6,10,7,4,11,2,12,5]=>[5,12,2,11,4,7,10,6,3,9,8,1]
[1,7,4,11,2,12,3,6,10,8,9,5]=>[5,9,8,10,6,3,12,2,11,4,7,1]
[1,9,2,12,3,8,6,10,4,11,5,7]=>[7,5,11,4,10,6,8,3,12,2,9,1]
[1,9,2,12,3,8,7,5,6,10,4,11]=>[11,4,10,6,5,7,8,3,12,2,9,1]
[1,9,2,12,3,7,5,6,10,4,11,8]=>[8,11,4,10,6,5,7,3,12,2,9,1]
[1,8,9,2,12,3,7,5,6,10,4,11]=>[11,4,10,6,5,7,3,12,2,9,8,1]
[1,9,2,12,3,8,6,10,5,7,4,11]=>[11,4,7,5,10,6,8,3,12,2,9,1]
[1,10,5,6,9,2,12,3,8,7,4,11]=>[11,4,7,8,3,12,2,9,6,5,10,1]
[1,9,2,12,3,8,7,4,11,5,6,10]=>[10,6,5,11,4,7,8,3,12,2,9,1]
[1,10,5,6,9,2,12,3,7,4,11,8]=>[8,11,4,7,3,12,2,9,6,5,10,1]
[1,9,2,12,3,7,4,11,5,6,10,8]=>[8,10,6,5,11,4,7,3,12,2,9,1]
[1,8,9,2,12,3,7,4,11,5,6,10]=>[10,6,5,11,4,7,3,12,2,9,8,1]
[1,10,6,9,2,12,3,8,7,4,11,5]=>[5,11,4,7,8,3,12,2,9,6,10,1]
[1,10,6,9,2,12,3,7,4,11,5,8]=>[8,5,11,4,7,3,12,2,9,6,10,1]
[1,9,2,12,3,6,10,7,4,11,5,8]=>[8,5,11,4,7,10,6,3,12,2,9,1]
[1,8,9,2,12,3,6,10,7,4,11,5]=>[5,11,4,7,10,6,3,12,2,9,8,1]
[1,11,2,12,4,10,5,7,3,9,6,8]=>[8,6,9,3,7,5,10,4,12,2,11,1]
[1,10,5,7,3,9,2,12,4,11,6,8]=>[8,6,11,4,12,2,9,3,7,5,10,1]
[1,11,2,12,4,10,5,7,3,8,6,9]=>[9,6,8,3,7,5,10,4,12,2,11,1]
[1,10,5,7,3,8,6,9,2,12,4,11]=>[11,4,12,2,9,6,8,3,7,5,10,1]
[1,9,2,12,4,11,3,8,6,10,5,7]=>[7,5,10,6,8,3,11,4,12,2,9,1]
[1,11,2,12,4,10,5,6,8,7,3,9]=>[9,3,7,8,6,5,10,4,12,2,11,1]
[1,10,5,6,8,7,3,9,2,12,4,11]=>[11,4,12,2,9,3,7,8,6,5,10,1]
[1,11,2,12,4,10,5,6,9,3,8,7]=>[7,8,3,9,6,5,10,4,12,2,11,1]
[1,10,5,6,9,2,12,4,11,3,8,7]=>[7,8,3,11,4,12,2,9,6,5,10,1]
[1,9,2,12,4,11,3,8,7,5,6,10]=>[10,6,5,7,8,3,11,4,12,2,9,1]
[1,11,2,12,4,10,5,6,9,3,7,8]=>[8,7,3,9,6,5,10,4,12,2,11,1]
[1,10,5,6,9,2,12,4,11,3,7,8]=>[8,7,3,11,4,12,2,9,6,5,10,1]
[1,9,2,12,4,11,3,7,5,6,10,8]=>[8,10,6,5,7,3,11,4,12,2,9,1]
[1,8,9,2,12,4,11,3,7,5,6,10]=>[10,6,5,7,3,11,4,12,2,9,8,1]
[1,11,2,12,4,10,6,8,7,3,9,5]=>[5,9,3,7,8,6,10,4,12,2,11,1]
[1,10,6,8,7,3,9,2,12,4,11,5]=>[5,11,4,12,2,9,3,7,8,6,10,1]
[1,11,2,12,4,10,6,9,3,8,7,5]=>[5,7,8,3,9,6,10,4,12,2,11,1]
[1,10,6,9,2,12,4,11,3,8,7,5]=>[5,7,8,3,11,4,12,2,9,6,10,1]
[1,11,2,12,4,10,6,9,3,7,5,8]=>[8,5,7,3,9,6,10,4,12,2,11,1]
[1,10,6,9,2,12,4,11,3,7,5,8]=>[8,5,7,3,11,4,12,2,9,6,10,1]
[1,11,2,12,4,10,7,3,6,9,5,8]=>[8,5,9,6,3,7,10,4,12,2,11,1]
[1,10,7,3,6,9,2,12,4,11,5,8]=>[8,5,11,4,12,2,9,6,3,7,10,1]
[1,9,2,12,4,11,3,6,10,7,5,8]=>[8,5,7,10,6,3,11,4,12,2,9,1]
[1,8,9,2,12,4,11,3,6,10,7,5]=>[5,7,10,6,3,11,4,12,2,9,8,1]
[1,7,3,6,10,8,9,2,12,4,11,5]=>[5,11,4,12,2,9,8,10,6,3,7,1]
[1,11,2,12,5,4,10,6,8,7,3,9]=>[9,3,7,8,6,10,4,5,12,2,11,1]
[1,10,6,8,7,3,9,2,12,5,4,11]=>[11,4,5,12,2,9,3,7,8,6,10,1]
[1,11,2,12,5,4,10,6,9,3,8,7]=>[7,8,3,9,6,10,4,5,12,2,11,1]
[1,10,6,9,2,12,5,4,11,3,8,7]=>[7,8,3,11,4,5,12,2,9,6,10,1]
[1,9,2,12,5,4,11,3,8,7,6,10]=>[10,6,7,8,3,11,4,5,12,2,9,1]
[1,11,2,12,5,4,10,6,9,3,7,8]=>[8,7,3,9,6,10,4,5,12,2,11,1]
[1,10,6,9,2,12,5,4,11,3,7,8]=>[8,7,3,11,4,5,12,2,9,6,10,1]
[1,9,2,12,5,4,11,3,7,6,10,8]=>[8,10,6,7,3,11,4,5,12,2,9,1]
[1,8,9,2,12,5,4,11,3,7,6,10]=>[10,6,7,3,11,4,5,12,2,9,8,1]
[1,11,2,12,5,4,10,7,3,6,9,8]=>[8,9,6,3,7,10,4,5,12,2,11,1]
[1,10,7,3,6,9,2,12,5,4,11,8]=>[8,11,4,5,12,2,9,6,3,7,10,1]
[1,9,2,12,5,4,11,3,6,10,7,8]=>[8,7,10,6,3,11,4,5,12,2,9,1]
[1,8,9,2,12,5,4,11,3,6,10,7]=>[7,10,6,3,11,4,5,12,2,9,8,1]
[1,7,3,6,10,8,9,2,12,5,4,11]=>[11,4,5,12,2,9,8,10,6,3,7,1]
[1,11,2,12,6,9,3,5,4,10,7,8]=>[8,7,10,4,5,3,9,6,12,2,11,1]
[1,10,7,3,5,4,11,2,12,6,9,8]=>[8,9,6,12,2,11,4,5,3,7,10,1]
[1,9,2,12,6,10,7,3,5,4,11,8]=>[8,11,4,5,3,7,10,6,12,2,9,1]
[1,8,9,2,12,6,10,7,3,5,4,11]=>[11,4,5,3,7,10,6,12,2,9,8,1]
[1,7,3,5,4,11,2,12,6,10,8,9]=>[9,8,10,6,12,2,11,4,5,3,7,1]
[1,6,10,8,9,2,12,7,3,5,4,11]=>[11,4,5,3,7,12,2,9,8,10,6,1]
[10,9,8,7,12,11,2,1,4,3,6,5]=>[5,6,3,4,1,2,11,12,7,8,9,10]
[8,7,12,11,10,9,2,1,4,3,6,5]=>[5,6,3,4,1,2,9,10,11,12,7,8]
[12,9,8,11,10,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,10,11,8,9,12]
[6,5,8,7,9,10,11,12,2,1,4,3]=>[3,4,1,2,12,11,10,9,7,8,5,6]
[8,7,6,5,9,10,11,12,2,1,4,3]=>[3,4,1,2,12,11,10,9,5,6,7,8]
[6,5,9,8,7,11,12,10,2,1,4,3]=>[3,4,1,2,10,12,11,7,8,9,5,6]
[10,6,5,9,7,11,12,8,2,1,4,3]=>[3,4,1,2,8,12,11,7,9,5,6,10]
[10,9,7,6,5,11,12,8,2,1,4,3]=>[3,4,1,2,8,12,11,5,6,7,9,10]
[6,5,12,11,7,8,9,10,2,1,4,3]=>[3,4,1,2,10,9,8,7,11,12,5,6]
[12,6,5,11,7,9,10,8,2,1,4,3]=>[3,4,1,2,8,10,9,7,11,5,6,12]
[12,11,6,5,9,10,7,8,2,1,4,3]=>[3,4,1,2,8,7,10,9,5,6,11,12]
[12,11,10,9,5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5,9,10,11,12]
[8,7,10,9,12,11,4,3,2,1,6,5]=>[5,6,1,2,3,4,11,12,9,10,7,8]
[8,7,12,11,10,9,4,3,2,1,6,5]=>[5,6,1,2,3,4,9,10,11,12,7,8]
[12,9,8,11,10,7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7,10,11,8,9,12]
[12,11,10,9,8,7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7,8,9,10,11,12]
[7,6,10,9,2,11,12,3,4,1,8,5]=>[5,8,1,4,3,12,11,2,9,10,6,7]
[10,9,7,6,2,11,12,3,4,1,8,5]=>[5,8,1,4,3,12,11,2,6,7,9,10]
[6,3,7,9,8,10,11,2,1,12,5,4]=>[4,5,12,1,2,11,10,8,9,7,3,6]
[7,6,3,9,8,11,12,2,1,10,5,4]=>[4,5,10,1,2,12,11,8,9,3,6,7]
[9,8,3,7,6,11,12,2,1,10,5,4]=>[4,5,10,1,2,12,11,6,7,3,8,9]
[6,3,7,11,10,8,9,2,1,12,5,4]=>[4,5,12,1,2,9,8,10,11,7,3,6]
[7,6,3,12,11,8,9,2,1,10,5,4]=>[4,5,10,1,2,9,8,11,12,3,6,7]
[12,8,3,6,11,9,7,2,1,10,5,4]=>[4,5,10,1,2,7,9,11,6,3,8,12]
[12,11,3,9,8,6,7,2,1,10,5,4]=>[4,5,10,1,2,7,6,8,9,3,11,12]
[10,9,12,11,2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2,11,12,9,10]
[12,11,10,9,2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2,9,10,11,12]
[8,3,9,11,10,2,4,5,1,12,7,6]=>[6,7,12,1,5,4,2,10,11,9,3,8]
[9,8,3,12,11,2,4,5,1,10,7,6]=>[6,7,10,1,5,4,2,11,12,3,8,9]
[12,11,3,9,8,2,4,5,1,10,7,6]=>[6,7,10,1,5,4,2,8,9,3,11,12]
[4,3,7,8,10,9,2,1,11,12,6,5]=>[5,6,12,11,1,2,9,10,8,7,3,4]
[7,4,3,8,11,9,2,1,12,10,6,5]=>[5,6,10,12,1,2,9,11,8,3,4,7]
[8,7,3,4,12,11,2,1,9,10,6,5]=>[5,6,10,9,1,2,11,12,4,3,7,8]
[12,11,3,4,8,7,2,1,9,10,6,5]=>[5,6,10,9,1,2,7,8,4,3,11,12]
[5,4,3,6,7,8,9,11,12,10,2,1]=>[1,2,10,12,11,9,8,7,6,3,4,5]
[6,5,3,4,7,8,11,12,9,10,2,1]=>[1,2,10,9,12,11,8,7,4,3,5,6]
[7,6,3,4,5,11,12,8,9,10,2,1]=>[1,2,10,9,8,12,11,5,4,3,6,7]
[12,11,3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3,11,12]
[8,7,10,9,12,11,2,1,6,5,4,3]=>[3,4,5,6,1,2,11,12,9,10,7,8]
[10,9,8,7,12,11,2,1,6,5,4,3]=>[3,4,5,6,1,2,11,12,7,8,9,10]
[12,9,8,11,10,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,10,11,8,9,12]
[12,11,10,9,8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8,9,10,11,12]
[6,5,8,7,9,10,11,12,4,3,2,1]=>[1,2,3,4,12,11,10,9,7,8,5,6]
[8,7,6,5,9,10,11,12,4,3,2,1]=>[1,2,3,4,12,11,10,9,5,6,7,8]
[6,5,9,8,7,11,12,10,4,3,2,1]=>[1,2,3,4,10,12,11,7,8,9,5,6]
[10,6,5,9,7,11,12,8,4,3,2,1]=>[1,2,3,4,8,12,11,7,9,5,6,10]
[10,9,7,6,5,11,12,8,4,3,2,1]=>[1,2,3,4,8,12,11,5,6,7,9,10]
[6,5,12,11,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,11,12,5,6]
[12,6,5,11,7,9,10,8,4,3,2,1]=>[1,2,3,4,8,10,9,7,11,5,6,12]
[12,11,6,5,9,10,7,8,4,3,2,1]=>[1,2,3,4,8,7,10,9,5,6,11,12]
[12,11,10,9,5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5,9,10,11,12]
[8,7,10,9,12,11,6,3,2,5,4,1]=>[1,4,5,2,3,6,11,12,9,10,7,8]
[10,9,8,7,12,11,6,3,2,5,4,1]=>[1,4,5,2,3,6,11,12,7,8,9,10]
[8,7,12,11,10,9,6,3,2,5,4,1]=>[1,4,5,2,3,6,9,10,11,12,7,8]
[12,9,8,11,10,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,10,11,8,9,12]
[7,6,10,9,4,11,12,2,3,8,5,1]=>[1,5,8,3,2,12,11,4,9,10,6,7]
[10,9,7,6,4,11,12,2,3,8,5,1]=>[1,5,8,3,2,12,11,4,6,7,9,10]
[7,6,2,9,8,11,12,3,1,5,10,4]=>[4,10,5,1,3,12,11,8,9,2,6,7]
[1,7,6,9,8,10,11,3,2,5,4,12]=>[12,4,5,2,3,11,10,8,9,6,7,1]
[1,9,8,7,6,10,11,3,2,5,4,12]=>[12,4,5,2,3,11,10,6,7,8,9,1]
[7,6,2,12,11,8,9,3,1,5,10,4]=>[4,10,5,1,3,9,8,11,12,2,6,7]
[1,7,6,11,10,8,9,3,2,5,4,12]=>[12,4,5,2,3,9,8,10,11,6,7,1]
[1,11,8,6,10,9,7,3,2,5,4,12]=>[12,4,5,2,3,7,9,10,6,8,11,1]
[1,11,10,9,8,6,7,3,2,5,4,12]=>[12,4,5,2,3,7,6,8,9,10,11,1]
[10,9,12,11,4,2,3,5,6,8,7,1]=>[1,7,8,6,5,3,2,4,11,12,9,10]
[12,11,10,9,4,2,3,5,6,8,7,1]=>[1,7,8,6,5,3,2,4,9,10,11,12]
[9,8,2,12,11,3,4,5,1,7,10,6]=>[6,10,7,1,5,4,3,11,12,2,8,9]
[1,9,8,11,10,3,4,5,2,7,6,12]=>[12,6,7,2,5,4,3,10,11,8,9,1]
[1,11,10,9,8,3,4,5,2,7,6,12]=>[12,6,7,2,5,4,3,8,9,10,11,1]
[7,4,2,8,11,9,3,1,12,6,10,5]=>[5,10,6,12,1,3,9,11,8,2,4,7]
[1,7,4,8,10,9,3,2,11,6,5,12]=>[12,5,6,11,2,3,9,10,8,4,7,1]
[1,8,7,4,11,10,3,2,9,6,5,12]=>[12,5,6,9,2,3,10,11,4,7,8,1]
[1,11,10,4,8,7,3,2,9,6,5,12]=>[12,5,6,9,2,3,7,8,4,10,11,1]
[5,4,2,6,7,8,9,11,12,3,10,1]=>[1,10,3,12,11,9,8,7,6,2,4,5]
[1,5,4,6,7,8,9,10,11,3,2,12]=>[12,2,3,11,10,9,8,7,6,4,5,1]
[1,6,5,4,7,8,10,11,9,3,2,12]=>[12,2,3,9,11,10,8,7,4,5,6,1]
[1,7,6,4,5,10,11,8,9,3,2,12]=>[12,2,3,9,8,11,10,5,4,6,7,1]
[1,11,10,4,5,6,7,8,9,3,2,12]=>[12,2,3,9,8,7,6,5,4,10,11,1]
[10,9,8,7,12,11,6,5,4,3,2,1]=>[1,2,3,4,5,6,11,12,7,8,9,10]
[8,7,12,11,10,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,10,11,12,7,8]
[7,6,10,9,4,11,12,5,8,3,2,1]=>[1,2,3,8,5,12,11,4,9,10,6,7]
[10,9,7,6,4,11,12,5,8,3,2,1]=>[1,2,3,8,5,12,11,4,6,7,9,10]
[7,6,2,9,8,11,12,5,4,3,10,1]=>[1,10,3,4,5,12,11,8,9,2,6,7]
[1,7,6,9,8,10,11,5,4,3,2,12]=>[12,2,3,4,5,11,10,8,9,6,7,1]
[1,9,8,7,6,10,11,5,4,3,2,12]=>[12,2,3,4,5,11,10,6,7,8,9,1]
[7,6,2,12,11,8,9,5,4,3,10,1]=>[1,10,3,4,5,9,8,11,12,2,6,7]
[1,7,6,11,10,8,9,5,4,3,2,12]=>[12,2,3,4,5,9,8,10,11,6,7,1]
[1,11,8,6,10,9,7,5,4,3,2,12]=>[12,2,3,4,5,7,9,10,6,8,11,1]
[1,11,10,9,8,6,7,5,4,3,2,12]=>[12,2,3,4,5,7,6,8,9,10,11,1]
[10,9,12,11,4,5,2,3,8,7,6,1]=>[1,6,7,8,3,2,5,4,11,12,9,10]
[12,11,10,9,4,5,2,3,8,7,6,1]=>[1,6,7,8,3,2,5,4,9,10,11,12]
[9,8,2,12,11,5,3,4,7,6,10,1]=>[1,10,6,7,4,3,5,11,12,2,8,9]
[1,9,8,11,10,5,3,4,7,6,2,12]=>[12,2,6,7,4,3,5,10,11,8,9,1]
[1,11,10,9,8,5,3,4,7,6,2,12]=>[12,2,6,7,4,3,5,8,9,10,11,1]
[8,7,2,3,12,11,4,1,6,9,10,5]=>[5,10,9,6,1,4,11,12,3,2,7,8]
[1,8,7,3,11,10,4,2,6,9,5,12]=>[12,5,9,6,2,4,10,11,3,7,8,1]
[1,2,8,7,10,9,4,3,6,5,11,12]=>[12,11,5,6,3,4,9,10,7,8,2,1]
[1,2,10,9,8,7,4,3,6,5,11,12]=>[12,11,5,6,3,4,7,8,9,10,2,1]
[6,5,2,3,7,8,11,12,4,9,10,1]=>[1,10,9,4,12,11,8,7,3,2,5,6]
[1,6,5,3,7,8,10,11,4,9,2,12]=>[12,2,9,4,11,10,8,7,3,5,6,1]
[1,2,6,5,7,8,9,10,4,3,11,12]=>[12,11,3,4,10,9,8,7,5,6,2,1]
[1,2,7,6,5,9,10,8,4,3,11,12]=>[12,11,3,4,8,10,9,5,6,7,2,1]
[1,2,10,9,5,6,7,8,4,3,11,12]=>[12,11,3,4,8,7,6,5,9,10,2,1]
[10,9,12,11,4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4,11,12,9,10]
[12,11,10,9,4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4,9,10,11,12]
[9,8,2,12,11,5,6,7,4,3,10,1]=>[1,10,3,4,7,6,5,11,12,2,8,9]
[1,9,8,11,10,5,6,7,4,3,2,12]=>[12,2,3,4,7,6,5,10,11,8,9,1]
[1,11,10,9,8,5,6,7,4,3,2,12]=>[12,2,3,4,7,6,5,8,9,10,11,1]
[8,7,2,3,12,11,6,5,4,9,10,1]=>[1,10,9,4,5,6,11,12,3,2,7,8]
[1,8,7,3,11,10,6,5,4,9,2,12]=>[12,2,9,4,5,6,10,11,3,7,8,1]
[1,2,8,7,10,9,6,5,4,3,11,12]=>[12,11,3,4,5,6,9,10,7,8,2,1]
[1,2,10,9,8,7,6,5,4,3,11,12]=>[12,11,3,4,5,6,7,8,9,10,2,1]
[7,6,2,3,4,11,12,5,8,9,10,1]=>[1,10,9,8,5,12,11,4,3,2,6,7]
[1,7,6,3,4,10,11,5,8,9,2,12]=>[12,2,9,8,5,11,10,4,3,6,7,1]
[1,2,7,6,4,9,10,5,8,3,11,12]=>[12,11,3,8,5,10,9,4,6,7,2,1]
[1,2,3,7,6,8,9,5,4,10,11,12]=>[12,11,10,4,5,9,8,6,7,3,2,1]
[1,2,3,9,8,6,7,5,4,10,11,12]=>[12,11,10,4,5,7,6,8,9,3,2,1]
[12,11,2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2,11,12]
[1,11,10,3,4,5,6,7,8,9,2,12]=>[12,2,9,8,7,6,5,4,3,10,11,1]
[1,2,10,9,4,5,6,7,8,3,11,12]=>[12,11,3,8,7,6,5,4,9,10,2,1]
[1,2,3,9,8,5,6,7,4,10,11,12]=>[12,11,10,4,7,6,5,8,9,3,2,1]
[1,2,3,4,8,7,6,5,9,10,11,12]=>[12,11,10,9,5,6,7,8,4,3,2,1]
[10,12,1,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,1,12,10]
[8,5,7,6,10,2,9,1,12,3,11,4]=>[4,11,3,12,1,9,2,10,6,7,5,8]
[8,4,7,3,10,5,9,6,12,1,11,2]=>[2,11,1,12,6,9,5,10,3,7,4,8]
[8,4,7,2,10,5,9,1,12,3,11,6]=>[6,11,3,12,1,9,5,10,2,7,4,8]
[8,3,7,2,10,1,9,4,12,5,11,6]=>[6,11,5,12,4,9,1,10,2,7,3,8]
[6,5,7,8,10,3,9,4,12,1,11,2]=>[2,11,1,12,4,9,3,10,8,7,5,6]
[6,5,7,8,10,2,9,1,12,3,11,4]=>[4,11,3,12,1,9,2,10,8,7,5,6]
[6,4,7,10,3,9,5,8,12,1,11,2]=>[2,11,1,12,8,5,9,3,10,7,4,6]
[6,4,7,10,2,9,5,12,1,11,3,8]=>[8,3,11,1,12,5,9,2,10,7,4,6]
[6,3,7,10,2,9,1,12,4,11,5,8]=>[8,5,11,4,12,1,9,2,10,7,3,6]
[5,10,4,9,3,6,7,8,12,1,11,2]=>[2,11,1,12,8,7,6,3,9,4,10,5]
[5,10,4,9,2,6,7,12,1,11,3,8]=>[8,3,11,1,12,7,6,2,9,4,10,5]
[5,10,3,9,2,6,12,1,11,4,7,8]=>[8,7,4,11,1,12,6,2,9,3,10,5]
[10,4,9,3,12,2,11,1,5,6,7,8]=>[8,7,6,5,1,11,2,12,3,9,4,10]
[10,5,9,6,7,3,8,4,12,1,11,2]=>[2,11,1,12,4,8,3,7,6,9,5,10]
[10,5,9,6,7,2,8,1,12,3,11,4]=>[4,11,3,12,1,8,2,7,6,9,5,10]
[10,4,9,3,7,5,8,6,12,1,11,2]=>[2,11,1,12,6,8,5,7,3,9,4,10]
[10,4,9,2,7,5,8,1,12,3,11,6]=>[6,11,3,12,1,8,5,7,2,9,4,10]
[10,3,9,2,7,1,8,4,12,5,11,6]=>[6,11,5,12,4,8,1,7,2,9,3,10]
[7,10,5,6,3,9,8,4,12,1,11,2]=>[2,11,1,12,4,8,9,3,6,5,10,7]
[7,10,5,6,2,9,8,1,12,3,11,4]=>[4,11,3,12,1,8,9,2,6,5,10,7]
[7,9,4,6,3,8,5,10,12,1,11,2]=>[2,11,1,12,10,5,8,3,6,4,9,7]
[7,9,4,6,2,8,5,12,1,11,3,10]=>[10,3,11,1,12,5,8,2,6,4,9,7]
[7,9,3,6,2,8,1,12,4,11,5,10]=>[10,5,11,4,12,1,8,2,6,3,9,7]
[9,5,4,8,3,6,7,10,12,1,11,2]=>[2,11,1,12,10,7,6,3,8,4,5,9]
[9,5,4,8,2,6,7,12,1,11,3,10]=>[10,3,11,1,12,7,6,2,8,4,5,9]
[9,5,3,8,2,6,12,1,11,4,7,10]=>[10,7,4,11,1,12,6,2,8,3,5,9]
[4,9,3,8,2,12,1,11,5,6,7,10]=>[10,7,6,5,11,1,12,2,8,3,9,4]
[5,10,6,3,9,8,7,4,12,1,11,2]=>[2,11,1,12,4,7,8,9,3,6,10,5]
[5,10,6,2,9,8,7,1,12,3,11,4]=>[4,11,3,12,1,7,8,9,2,6,10,5]
[9,6,4,8,7,3,5,10,12,1,11,2]=>[2,11,1,12,10,5,3,7,8,4,6,9]
[9,6,4,8,7,2,5,12,1,11,3,10]=>[10,3,11,1,12,5,2,7,8,4,6,9]
[9,6,3,8,7,2,12,1,11,4,5,10]=>[10,5,4,11,1,12,2,7,8,3,6,9]
[5,4,8,3,7,6,9,10,12,1,11,2]=>[2,11,1,12,10,9,6,7,3,8,4,5]
[5,4,8,2,7,6,9,12,1,11,3,10]=>[10,3,11,1,12,9,6,7,2,8,4,5]
[5,3,8,2,7,6,12,1,11,4,9,10]=>[10,9,4,11,1,12,6,7,2,8,3,5]
[4,8,3,7,2,12,1,5,11,6,9,10]=>[10,9,6,11,5,1,12,2,7,3,8,4]
[5,4,6,3,7,8,9,10,12,1,11,2]=>[2,11,1,12,10,9,8,7,3,6,4,5]
[5,4,6,2,7,8,9,12,1,11,3,10]=>[10,3,11,1,12,9,8,7,2,6,4,5]
[5,3,6,2,7,8,12,1,11,4,9,10]=>[10,9,4,11,1,12,8,7,2,6,3,5]
[4,6,3,7,12,2,11,1,5,8,9,10]=>[10,9,8,5,1,11,2,12,7,3,6,4]
[4,5,3,12,2,11,1,6,7,8,9,10]=>[10,9,8,7,6,1,11,2,12,3,5,4]
[8,5,7,6,12,3,11,4,9,1,10,2]=>[2,10,1,9,4,11,3,12,6,7,5,8]
[8,5,7,6,12,2,11,1,9,3,10,4]=>[4,10,3,9,1,11,2,12,6,7,5,8]
[8,4,7,3,12,5,11,6,9,1,10,2]=>[2,10,1,9,6,11,5,12,3,7,4,8]
[8,4,7,2,12,5,11,1,9,3,10,6]=>[6,10,3,9,1,11,5,12,2,7,4,8]
[8,3,7,2,12,1,11,4,9,5,10,6]=>[6,10,5,9,4,11,1,12,2,7,3,8]
[6,5,7,8,12,3,11,4,9,1,10,2]=>[2,10,1,9,4,11,3,12,8,7,5,6]
[6,5,7,8,12,2,11,1,9,3,10,4]=>[4,10,3,9,1,11,2,12,8,7,5,6]
[6,4,7,12,3,11,5,8,9,1,10,2]=>[2,10,1,9,8,5,11,3,12,7,4,6]
[6,4,7,12,2,11,5,9,1,10,3,8]=>[8,3,10,1,9,5,11,2,12,7,4,6]
[6,3,7,12,2,11,1,9,4,10,5,8]=>[8,5,10,4,9,1,11,2,12,7,3,6]
[5,12,4,11,3,6,7,8,9,1,10,2]=>[2,10,1,9,8,7,6,3,11,4,12,5]
[5,12,4,11,2,6,7,9,1,10,3,8]=>[8,3,10,1,9,7,6,2,11,4,12,5]
[5,12,3,11,2,6,9,1,10,4,7,8]=>[8,7,4,10,1,9,6,2,11,3,12,5]
[12,4,11,3,9,2,10,1,5,6,7,8]=>[8,7,6,5,1,10,2,9,3,11,4,12]
[12,5,9,6,7,3,11,4,8,1,10,2]=>[2,10,1,8,4,11,3,7,6,9,5,12]
[12,5,9,6,7,2,11,1,8,3,10,4]=>[4,10,3,8,1,11,2,7,6,9,5,12]
[12,4,9,3,7,5,11,6,8,1,10,2]=>[2,10,1,8,6,11,5,7,3,9,4,12]
[12,4,9,2,7,5,11,1,8,3,10,6]=>[6,10,3,8,1,11,5,7,2,9,4,12]
[12,3,9,2,7,1,11,4,8,5,10,6]=>[6,10,5,8,4,11,1,7,2,9,3,12]
[7,12,5,6,3,9,4,11,8,1,10,2]=>[2,10,1,8,11,4,9,3,6,5,12,7]
[7,12,5,6,2,9,1,11,8,3,10,4]=>[4,10,3,8,11,1,9,2,6,5,12,7]
[7,9,4,6,3,12,5,8,1,11,10,2]=>[2,10,11,1,8,5,12,3,6,4,9,7]
[7,9,4,6,2,11,5,8,1,10,3,12]=>[12,3,10,1,8,5,11,2,6,4,9,7]
[7,9,3,6,2,11,1,8,4,10,5,12]=>[12,5,10,4,8,1,11,2,6,3,9,7]
[9,5,4,12,3,6,7,8,1,11,10,2]=>[2,10,11,1,8,7,6,3,12,4,5,9]
[9,5,4,11,2,6,7,8,1,10,3,12]=>[12,3,10,1,8,7,6,2,11,4,5,9]
[9,5,3,11,2,6,8,1,10,4,7,12]=>[12,7,4,10,1,8,6,2,11,3,5,9]
[4,9,3,11,2,8,1,10,5,6,7,12]=>[12,7,6,5,10,1,8,2,11,3,9,4]
[5,12,6,3,9,8,4,11,7,1,10,2]=>[2,10,1,7,11,4,8,9,3,6,12,5]
[5,12,6,2,9,8,1,11,7,3,10,4]=>[4,10,3,7,11,1,8,9,2,6,12,5]
[9,6,4,8,3,5,12,7,1,11,10,2]=>[2,10,11,1,7,12,5,3,8,4,6,9]
[9,6,4,8,2,5,11,7,1,10,3,12]=>[12,3,10,1,7,11,5,2,8,4,6,9]
[9,6,3,8,2,11,7,1,10,4,5,12]=>[12,5,4,10,1,7,11,2,8,3,6,9]
[5,4,8,3,9,12,6,7,1,11,10,2]=>[2,10,11,1,7,6,12,9,3,8,4,5]
[5,4,8,2,9,11,6,7,1,10,3,12]=>[12,3,10,1,7,6,11,9,2,8,4,5]
[5,3,8,2,11,6,7,1,10,4,9,12]=>[12,9,4,10,1,7,6,11,2,8,3,5]
[4,8,3,11,2,7,1,5,10,6,9,12]=>[12,9,6,10,5,1,7,2,11,3,8,4]
[5,4,7,8,9,12,3,6,1,11,10,2]=>[2,10,11,1,6,3,12,9,8,7,4,5]
[5,4,7,8,9,11,2,6,1,10,3,12]=>[12,3,10,1,6,2,11,9,8,7,4,5]
[5,3,7,8,11,2,6,1,10,4,9,12]=>[12,9,4,10,1,6,2,11,8,7,3,5]
[4,7,11,3,6,2,10,1,5,8,9,12]=>[12,9,8,5,1,10,2,6,3,11,7,4]
[4,11,3,5,2,10,1,6,7,8,9,12]=>[12,9,8,7,6,1,10,2,5,3,11,4]
[12,5,11,6,10,3,7,4,8,1,9,2]=>[2,9,1,8,4,7,3,10,6,11,5,12]
[12,5,11,6,10,2,7,1,8,3,9,4]=>[4,9,3,8,1,7,2,10,6,11,5,12]
[12,4,11,3,10,5,7,6,8,1,9,2]=>[2,9,1,8,6,7,5,10,3,11,4,12]
[12,4,11,2,10,5,7,1,8,3,9,6]=>[6,9,3,8,1,7,5,10,2,11,4,12]
[12,3,11,2,10,1,7,4,8,5,9,6]=>[6,9,5,8,4,7,1,10,2,11,3,12]
[7,12,5,11,3,6,4,10,8,1,9,2]=>[2,9,1,8,10,4,6,3,11,5,12,7]
[7,12,5,11,2,6,1,10,8,3,9,4]=>[4,9,3,8,10,1,6,2,11,5,12,7]
[7,12,4,11,10,3,6,5,8,1,9,2]=>[2,9,1,8,5,6,3,10,11,4,12,7]
[7,11,4,10,2,6,5,8,1,9,3,12]=>[12,3,9,1,8,5,6,2,10,4,11,7]
[7,11,3,10,2,6,1,8,4,9,5,12]=>[12,5,9,4,8,1,6,2,10,3,11,7]
[12,4,11,10,5,3,6,7,8,1,9,2]=>[2,9,1,8,7,6,3,5,10,11,4,12]
[11,4,10,5,2,6,7,8,1,9,3,12]=>[12,3,9,1,8,7,6,2,5,10,4,11]
[11,3,10,5,2,6,8,1,9,4,7,12]=>[12,7,4,9,1,8,6,2,5,10,3,11]
[11,4,3,10,2,8,1,9,5,6,7,12]=>[12,7,6,5,9,1,8,2,10,3,4,11]
[5,12,3,11,8,6,4,10,7,1,9,2]=>[2,9,1,7,10,4,6,8,11,3,12,5]
[5,12,2,11,8,6,1,10,7,3,9,4]=>[4,9,3,7,10,1,6,8,11,2,12,5]
[12,4,8,6,3,5,11,10,7,1,9,2]=>[2,9,1,7,10,11,5,3,6,8,4,12]
[11,4,8,6,2,5,10,7,1,9,3,12]=>[12,3,9,1,7,10,5,2,6,8,4,11]
[11,3,8,6,2,10,7,1,9,4,5,12]=>[12,5,4,9,1,7,10,2,6,8,3,11]
[8,4,5,3,12,6,7,1,11,10,9,2]=>[2,9,10,11,1,7,6,12,3,5,4,8]
[8,4,5,2,11,6,7,1,10,9,3,12]=>[12,3,9,10,1,7,6,11,2,5,4,8]
[8,3,5,2,10,6,7,1,9,4,11,12]=>[12,11,4,9,1,7,6,10,2,5,3,8]
[8,4,3,10,2,7,1,5,9,6,11,12]=>[12,11,6,9,5,1,7,2,10,3,4,8]
[7,8,12,4,5,3,6,1,11,10,9,2]=>[2,9,10,11,1,6,3,5,4,12,8,7]
[7,8,11,4,5,2,6,1,10,9,3,12]=>[12,3,9,10,1,6,2,5,4,11,8,7]
[7,8,10,3,5,2,6,1,9,4,11,12]=>[12,11,4,9,1,6,2,5,3,10,8,7]
[7,10,4,3,6,2,9,1,5,8,11,12]=>[12,11,8,5,1,9,2,6,3,4,10,7]
[10,4,3,5,2,9,1,6,7,8,11,12]=>[12,11,8,7,6,1,9,2,5,3,4,10]
[12,5,3,11,6,4,10,7,1,9,8,2]=>[2,8,9,1,7,10,4,6,11,3,5,12]
[12,5,2,11,6,1,10,7,3,9,8,4]=>[4,8,9,3,7,10,1,6,11,2,5,12]
[4,12,3,11,10,6,5,9,7,1,8,2]=>[2,8,1,7,9,5,6,10,11,3,12,4]
[4,11,2,10,6,5,9,7,1,8,3,12]=>[12,3,8,1,7,9,5,6,10,2,11,4]
[11,3,10,6,2,9,7,1,4,8,5,12]=>[12,5,8,4,1,7,9,2,6,10,3,11]
[4,12,5,3,11,10,9,6,7,1,8,2]=>[2,8,1,7,6,9,10,11,3,5,12,4]
[4,11,5,2,10,9,6,7,1,8,3,12]=>[12,3,8,1,7,6,9,10,2,5,11,4]
[10,5,3,9,6,7,2,8,1,4,11,12]=>[12,11,4,1,8,2,7,6,9,3,5,10]
[4,3,10,2,9,1,7,5,8,6,11,12]=>[12,11,6,8,5,7,1,9,2,10,3,4]
[4,7,12,5,3,6,1,11,10,9,8,2]=>[2,8,9,10,11,1,6,3,5,12,7,4]
[4,7,11,5,2,6,1,10,9,8,3,12]=>[12,3,8,9,10,1,6,2,5,11,7,4]
[7,10,5,3,6,2,9,8,1,4,11,12]=>[12,11,4,1,8,9,2,6,3,5,10,7]
[4,3,7,9,2,6,1,8,5,10,11,12]=>[12,11,10,5,8,1,6,2,9,7,3,4]
[4,3,9,5,2,8,1,6,7,10,11,12]=>[12,11,10,7,6,1,8,2,5,9,3,4]
[4,5,3,12,6,1,11,10,9,8,7,2]=>[2,7,8,9,10,11,1,6,12,3,5,4]
[4,5,2,11,6,1,10,9,8,7,3,12]=>[12,3,7,8,9,10,1,6,11,2,5,4]
[5,3,10,6,2,9,8,7,1,4,11,12]=>[12,11,4,1,7,8,9,2,6,10,3,5]
[4,3,9,6,2,8,7,1,5,10,11,12]=>[12,11,10,5,1,7,8,2,6,9,3,4]
[4,3,5,2,8,1,7,6,9,10,11,12]=>[12,11,10,9,6,7,1,8,2,5,3,4]
[4,3,5,2,6,1,7,8,9,10,11,12]=>[12,11,10,9,8,7,1,6,2,5,3,4]
[1,11,3,9,2,12,4,10,5,7,6,8]=>[8,6,7,5,10,4,12,2,9,3,11,1]
[1,11,2,12,3,9,5,7,4,10,6,8]=>[8,6,10,4,7,5,9,3,12,2,11,1]
[1,11,3,9,5,7,4,10,2,12,6,8]=>[8,6,12,2,10,4,7,5,9,3,11,1]
[1,11,5,7,3,9,2,12,6,8,4,10]=>[10,4,8,6,12,2,9,3,7,5,11,1]
[1,11,2,12,3,9,4,10,5,6,7,8]=>[8,7,6,5,10,4,9,3,12,2,11,1]
[1,11,3,9,2,12,4,10,5,6,7,8]=>[8,7,6,5,10,4,12,2,9,3,11,1]
[1,11,2,12,3,9,5,6,4,10,8,7]=>[7,8,10,4,6,5,9,3,12,2,11,1]
[1,11,3,9,5,6,4,10,2,12,8,7]=>[7,8,12,2,10,4,6,5,9,3,11,1]
[1,11,5,6,3,9,2,12,8,4,10,7]=>[7,10,4,8,12,2,9,3,6,5,11,1]
[1,11,2,12,3,9,7,4,10,8,6,5]=>[5,6,8,10,4,7,9,3,12,2,11,1]
[1,11,3,9,7,2,12,8,6,4,10,5]=>[5,10,4,6,8,12,2,7,9,3,11,1]
[1,11,7,2,12,8,6,3,9,4,10,5]=>[5,10,4,9,3,6,8,12,2,7,11,1]
[1,11,7,2,12,8,3,9,5,4,10,6]=>[6,10,4,5,9,3,8,12,2,7,11,1]
[1,11,2,12,3,8,6,10,4,7,5,9]=>[9,5,7,4,10,6,8,3,12,2,11,1]
[1,11,3,8,6,10,2,12,4,7,5,9]=>[9,5,7,4,12,2,10,6,8,3,11,1]
[1,11,2,12,3,8,4,7,5,9,6,10]=>[10,6,9,5,7,4,8,3,12,2,11,1]
[1,11,3,8,2,12,6,10,4,7,5,9]=>[9,5,7,4,10,6,12,2,8,3,11,1]
[1,11,5,9,2,12,6,10,4,7,3,8]=>[8,3,7,4,10,6,12,2,9,5,11,1]
[1,11,2,12,3,8,10,4,6,5,9,7]=>[7,9,5,6,4,10,8,3,12,2,11,1]
[1,11,3,8,10,2,12,4,6,5,9,7]=>[7,9,5,6,4,12,2,10,8,3,11,1]
[1,11,2,12,3,8,4,6,5,9,7,10]=>[10,7,9,5,6,4,8,3,12,2,11,1]
[1,11,3,8,2,12,10,4,6,5,9,7]=>[7,9,5,6,4,10,12,2,8,3,11,1]
[1,11,5,9,2,12,10,4,6,3,8,7]=>[7,8,3,6,4,10,12,2,9,5,11,1]
[1,11,2,12,3,8,6,4,5,9,7,10]=>[10,7,9,5,4,6,8,3,12,2,11,1]
[1,11,3,8,6,4,5,9,7,2,12,10]=>[10,12,2,7,9,5,4,6,8,3,11,1]
[1,11,7,2,12,10,4,5,9,3,8,6]=>[6,8,3,9,5,4,10,12,2,7,11,1]
[1,11,7,2,12,10,6,3,8,4,5,9]=>[9,5,4,8,3,6,10,12,2,7,11,1]
[1,11,2,12,3,7,9,4,6,8,10,5]=>[5,10,8,6,4,9,7,3,12,2,11,1]
[1,11,3,7,9,2,12,4,6,8,10,5]=>[5,10,8,6,4,12,2,9,7,3,11,1]
[1,11,2,12,3,7,9,5,4,6,8,10]=>[10,8,6,4,5,9,7,3,12,2,11,1]
[1,11,3,7,9,5,4,6,8,2,12,10]=>[10,12,2,8,6,4,5,9,7,3,11,1]
[1,11,5,3,7,9,2,12,10,4,6,8]=>[8,6,4,10,12,2,9,7,3,5,11,1]
[1,11,2,12,3,7,4,5,6,8,9,10]=>[10,9,8,6,5,4,7,3,12,2,11,1]
[1,11,3,7,2,12,10,4,5,6,8,9]=>[9,8,6,5,4,10,12,2,7,3,11,1]
[1,11,9,2,12,10,4,5,3,7,6,8]=>[8,6,7,3,5,4,10,12,2,9,11,1]
[1,11,9,5,3,7,2,12,10,6,8,4]=>[4,8,6,10,12,2,7,3,5,9,11,1]
[1,11,2,12,3,6,4,5,7,8,9,10]=>[10,9,8,7,5,4,6,3,12,2,11,1]
[1,11,3,6,2,12,10,4,5,7,8,9]=>[9,8,7,5,4,10,12,2,6,3,11,1]
[1,11,9,2,12,10,4,5,3,6,7,8]=>[8,7,6,3,5,4,10,12,2,9,11,1]
[1,11,9,5,3,6,2,12,10,8,4,7]=>[7,4,8,10,12,2,6,3,5,9,11,1]
[1,11,9,7,2,12,10,8,6,3,5,4]=>[4,5,3,6,8,10,12,2,7,9,11,1]
[1,10,4,12,2,9,3,11,5,7,6,8]=>[8,6,7,5,11,3,9,2,12,4,10,1]
[1,10,2,9,3,11,4,12,5,7,6,8]=>[8,6,7,5,12,4,11,3,9,2,10,1]
[1,10,6,8,3,11,2,9,5,7,4,12]=>[12,4,7,5,9,2,11,3,8,6,10,1]
[1,10,2,9,5,7,4,12,6,8,3,11]=>[11,3,8,6,12,4,7,5,9,2,10,1]
[1,10,4,12,6,8,2,9,3,11,5,7]=>[7,5,11,3,9,2,8,6,12,4,10,1]
[1,10,4,12,2,9,3,11,5,6,7,8]=>[8,7,6,5,11,3,9,2,12,4,10,1]
[1,10,2,9,3,11,4,12,5,6,7,8]=>[8,7,6,5,12,4,11,3,9,2,10,1]
[1,10,8,3,11,2,9,5,6,4,12,7]=>[7,12,4,6,5,9,2,11,3,8,10,1]
[1,10,2,9,5,6,4,12,8,3,11,7]=>[7,11,3,8,12,4,6,5,9,2,10,1]
[1,10,4,12,8,2,9,3,11,5,6,7]=>[7,6,5,11,3,9,2,8,12,4,10,1]
[1,10,8,6,4,12,2,9,7,3,11,5]=>[5,11,3,7,9,2,12,4,6,8,10,1]
[1,10,2,9,7,3,11,4,12,8,6,5]=>[5,6,8,12,4,11,3,7,9,2,10,1]
[1,10,4,12,8,6,3,11,7,2,9,5]=>[5,9,2,7,11,3,6,8,12,4,10,1]
[1,10,6,3,11,7,2,9,5,4,12,8]=>[8,12,4,5,9,2,7,11,3,6,10,1]
[1,10,4,7,5,9,3,11,2,8,6,12]=>[12,6,8,2,11,3,9,5,7,4,10,1]
[1,10,2,8,6,12,4,7,5,9,3,11]=>[11,3,9,5,7,4,12,6,8,2,10,1]
[1,10,6,12,2,8,3,11,4,7,5,9]=>[9,5,7,4,11,3,8,2,12,6,10,1]
[1,10,2,8,3,11,4,7,5,9,6,12]=>[12,6,9,5,7,4,11,3,8,2,10,1]
[1,10,4,7,3,11,5,9,2,8,6,12]=>[12,6,8,2,9,5,11,3,7,4,10,1]
[1,10,4,6,5,9,3,11,2,8,12,7]=>[7,12,8,2,11,3,9,5,6,4,10,1]
[1,10,2,8,12,4,6,5,9,3,11,7]=>[7,11,3,9,5,6,4,12,8,2,10,1]
[1,10,12,2,8,3,11,4,6,5,9,7]=>[7,9,5,6,4,11,3,8,2,12,10,1]
[1,10,2,8,3,11,4,6,5,9,7,12]=>[12,7,9,5,6,4,11,3,8,2,10,1]
[1,10,4,6,3,11,5,9,2,8,7,12]=>[12,7,8,2,9,5,11,3,6,4,10,1]
[1,10,12,2,8,6,4,5,9,7,3,11]=>[11,3,7,9,5,4,6,8,2,12,10,1]
[1,10,2,8,6,4,5,9,7,3,11,12]=>[12,11,3,7,9,5,4,6,8,2,10,1]
[1,10,4,5,9,2,8,6,3,11,7,12]=>[12,7,11,3,6,8,2,9,5,4,10,1]
[1,10,6,3,11,7,2,8,4,5,9,12]=>[12,9,5,4,8,2,7,11,3,6,10,1]
[1,10,4,6,8,12,2,7,9,3,11,5]=>[5,11,3,9,7,2,12,8,6,4,10,1]
[1,10,2,7,9,3,11,4,6,8,12,5]=>[5,12,8,6,4,11,3,9,7,2,10,1]
[1,10,12,2,7,9,5,4,6,8,3,11]=>[11,3,8,6,4,5,9,7,2,12,10,1]
[1,10,2,7,9,5,4,6,8,3,11,12]=>[12,11,3,8,6,4,5,9,7,2,10,1]
[1,10,4,6,8,2,7,9,3,11,5,12]=>[12,5,11,3,9,7,2,8,6,4,10,1]
[1,10,12,2,7,3,11,4,5,6,8,9]=>[9,8,6,5,4,11,3,7,2,12,10,1]
[1,10,2,7,3,11,4,5,6,8,9,12]=>[12,9,8,6,5,4,11,3,7,2,10,1]
[1,10,4,5,3,11,9,2,7,6,8,12]=>[12,8,6,7,2,9,11,3,5,4,10,1]
[1,10,6,8,2,7,3,11,9,5,4,12]=>[12,4,5,9,11,3,7,2,8,6,10,1]
[1,10,12,2,6,3,11,4,5,7,8,9]=>[9,8,7,5,4,11,3,6,2,12,10,1]
[1,10,2,6,3,11,4,5,7,8,9,12]=>[12,9,8,7,5,4,11,3,6,2,10,1]
[1,10,4,5,3,11,9,2,6,7,8,12]=>[12,8,7,6,2,9,11,3,5,4,10,1]
[1,10,8,2,6,3,11,9,5,4,7,12]=>[12,7,4,5,9,11,3,6,2,8,10,1]
[1,10,8,6,2,5,3,11,9,7,4,12]=>[12,4,7,9,11,3,5,2,6,8,10,1]
[1,9,3,7,5,11,2,8,6,12,4,10]=>[10,4,12,6,8,2,11,5,7,3,9,1]
[1,9,2,8,6,12,4,10,3,7,5,11]=>[11,5,7,3,10,4,12,6,8,2,9,1]
[1,9,5,11,2,8,3,7,4,10,6,12]=>[12,6,10,4,7,3,8,2,11,5,9,1]
[1,9,5,11,3,7,4,10,2,8,6,12]=>[12,6,8,2,10,4,7,3,11,5,9,1]
[1,9,2,8,3,7,4,10,5,11,6,12]=>[12,6,11,5,10,4,7,3,8,2,9,1]
[1,9,3,6,5,11,2,8,12,4,10,7]=>[7,10,4,12,8,2,11,5,6,3,9,1]
[1,9,2,8,12,4,10,3,6,5,11,7]=>[7,11,5,6,3,10,4,12,8,2,9,1]
[1,9,5,11,2,8,3,6,4,10,12,7]=>[7,12,10,4,6,3,8,2,11,5,9,1]
[1,9,5,11,3,6,4,10,2,8,7,12]=>[12,7,8,2,10,4,6,3,11,5,9,1]
[1,9,2,8,3,6,4,10,5,11,7,12]=>[12,7,11,5,10,4,6,3,8,2,9,1]
[1,9,7,3,5,11,2,8,6,4,10,12]=>[12,10,4,6,8,2,11,5,3,7,9,1]
[1,9,7,2,8,6,4,10,3,5,11,12]=>[12,11,5,3,10,4,6,8,2,7,9,1]
[1,9,2,8,6,3,5,11,7,4,10,12]=>[12,10,4,7,11,5,3,6,8,2,9,1]
[1,9,5,11,7,2,8,3,4,10,6,12]=>[12,6,10,4,3,8,2,7,11,5,9,1]
[1,9,3,6,8,12,2,7,11,4,10,5]=>[5,10,4,11,7,2,12,8,6,3,9,1]
[1,9,2,7,11,3,6,8,12,4,10,5]=>[5,10,4,12,8,6,3,11,7,2,9,1]
[1,9,5,4,10,12,2,7,11,3,6,8]=>[8,6,3,11,7,2,12,10,4,5,9,1]
[1,9,5,4,10,2,7,11,3,6,8,12]=>[12,8,6,3,11,7,2,10,4,5,9,1]
[1,9,2,7,11,5,3,6,8,4,10,12]=>[12,10,4,8,6,3,5,11,7,2,9,1]
[1,9,11,2,7,3,5,4,10,12,6,8]=>[8,6,12,10,4,5,3,7,2,11,9,1]
[1,9,11,3,5,4,10,2,7,6,8,12]=>[12,8,6,7,2,10,4,5,3,11,9,1]
[1,9,2,7,3,5,4,10,6,8,11,12]=>[12,11,8,6,10,4,5,3,7,2,9,1]
[1,9,5,3,4,10,6,8,2,7,11,12]=>[12,11,7,2,8,6,10,4,3,5,9,1]
[1,9,11,2,6,3,5,4,10,12,7,8]=>[8,7,12,10,4,5,3,6,2,11,9,1]
[1,9,11,3,5,4,10,2,6,7,8,12]=>[12,8,7,6,2,10,4,5,3,11,9,1]
[1,9,2,6,3,5,4,10,7,8,11,12]=>[12,11,8,7,10,4,5,3,6,2,9,1]
[1,9,5,3,4,10,8,2,6,7,11,12]=>[12,11,7,6,2,8,10,4,3,5,9,1]
[1,9,7,2,5,3,4,10,8,6,11,12]=>[12,11,6,8,10,4,3,5,2,7,9,1]
[1,8,12,2,7,11,3,6,10,4,5,9]=>[9,5,4,10,6,3,11,7,2,12,8,1]
[1,8,12,4,5,9,2,7,11,3,6,10]=>[10,6,3,11,7,2,9,5,4,12,8,1]
[1,8,3,6,10,12,2,7,11,4,5,9]=>[9,5,4,11,7,2,12,10,6,3,8,1]
[1,8,2,7,11,3,6,10,4,5,9,12]=>[12,9,5,4,10,6,3,11,7,2,8,1]
[1,8,2,7,11,5,9,3,6,10,4,12]=>[12,4,10,6,3,9,5,11,7,2,8,1]
[1,8,6,10,12,2,7,3,5,9,11,4]=>[4,11,9,5,3,7,2,12,10,6,8,1]
[1,8,6,10,2,7,3,5,9,11,4,12]=>[12,4,11,9,5,3,7,2,10,6,8,1]
[1,8,6,10,4,3,5,9,2,7,11,12]=>[12,11,7,2,9,5,3,4,10,6,8,1]
[1,8,2,7,3,4,5,9,6,10,11,12]=>[12,11,10,6,9,5,4,3,7,2,8,1]
[1,8,10,12,2,6,3,5,9,11,4,7]=>[7,4,11,9,5,3,6,2,12,10,8,1]
[1,8,10,2,6,3,5,9,11,4,7,12]=>[12,7,4,11,9,5,3,6,2,10,8,1]
[1,8,10,4,3,5,9,2,6,7,11,12]=>[12,11,7,6,2,9,5,3,4,10,8,1]
[1,8,2,6,3,4,5,9,7,10,11,12]=>[12,11,10,7,9,5,4,3,6,2,8,1]
[1,8,6,2,5,9,7,3,4,10,11,12]=>[12,11,10,4,3,7,9,5,2,6,8,1]
[1,7,9,11,2,6,8,10,12,3,5,4]=>[4,5,3,12,10,8,6,2,11,9,7,1]
[1,7,9,11,3,5,2,6,8,10,4,12]=>[12,4,10,8,6,2,5,3,11,9,7,1]
[1,7,9,2,6,8,10,4,3,5,11,12]=>[12,11,5,3,4,10,8,6,2,9,7,1]
[1,7,9,5,2,6,8,3,4,10,11,12]=>[12,11,10,4,3,8,6,2,5,9,7,1]
[1,7,2,5,3,4,6,8,9,10,11,12]=>[12,11,10,9,8,6,4,3,5,2,7,1]
[2,1,4,3,6,5,11,8,12,9,10,7]=>[7,10,9,12,8,11,5,6,3,4,1,2]
[2,1,4,3,11,8,12,9,10,6,7,5]=>[5,7,6,10,9,12,8,11,3,4,1,2]
[2,1,4,3,9,6,10,7,8,5,12,11]=>[11,12,5,8,7,10,6,9,3,4,1,2]
[2,1,4,3,9,6,12,10,11,7,8,5]=>[5,8,7,11,10,12,6,9,3,4,1,2]
[2,1,4,3,12,9,10,6,11,7,8,5]=>[5,8,7,11,6,10,9,12,3,4,1,2]
[2,1,4,3,11,7,10,6,12,8,9,5]=>[5,9,8,12,6,10,7,11,3,4,1,2]
[2,1,6,4,5,3,11,8,12,9,10,7]=>[7,10,9,12,8,11,3,5,4,6,1,2]
[2,1,11,8,12,9,10,6,7,4,5,3]=>[3,5,4,7,6,10,9,12,8,11,1,2]
[2,1,9,6,10,7,8,4,5,3,12,11]=>[11,12,3,5,4,8,7,10,6,9,1,2]
[2,1,9,6,12,10,11,7,8,4,5,3]=>[3,5,4,8,7,11,10,12,6,9,1,2]
[2,1,12,9,10,6,11,7,8,4,5,3]=>[3,5,4,8,7,11,6,10,9,12,1,2]
[2,1,11,7,10,6,12,8,9,4,5,3]=>[3,5,4,9,8,12,6,10,7,11,1,2]
[2,1,7,4,8,5,6,3,10,9,12,11]=>[11,12,9,10,3,6,5,8,4,7,1,2]
[2,1,7,4,8,5,6,3,12,10,11,9]=>[9,11,10,12,3,6,5,8,4,7,1,2]
[2,1,7,4,10,8,9,5,6,3,12,11]=>[11,12,3,6,5,9,8,10,4,7,1,2]
[2,1,7,4,12,10,11,8,9,5,6,3]=>[3,6,5,9,8,11,10,12,4,7,1,2]
[2,1,7,4,11,8,12,9,10,5,6,3]=>[3,6,5,10,9,12,8,11,4,7,1,2]
[2,1,10,7,8,4,9,5,6,3,12,11]=>[11,12,3,6,5,9,4,8,7,10,1,2]
[2,1,12,10,11,7,8,4,9,5,6,3]=>[3,6,5,9,4,8,7,11,10,12,1,2]
[2,1,11,7,8,4,12,9,10,5,6,3]=>[3,6,5,10,9,12,4,8,7,11,1,2]
[2,1,12,8,9,4,11,7,10,5,6,3]=>[3,6,5,10,7,11,4,9,8,12,1,2]
[2,1,9,5,8,4,10,6,7,3,12,11]=>[11,12,3,7,6,10,4,8,5,9,1,2]
[2,1,9,5,8,4,12,10,11,6,7,3]=>[3,7,6,11,10,12,4,8,5,9,1,2]
[2,1,12,9,10,5,8,4,11,6,7,3]=>[3,7,6,11,4,8,5,10,9,12,1,2]
[2,1,10,5,12,8,9,4,11,6,7,3]=>[3,7,6,11,4,9,8,12,5,10,1,2]
[2,1,10,5,11,6,9,4,12,7,8,3]=>[3,8,7,12,4,9,6,11,5,10,1,2]
[4,2,3,1,6,5,11,8,12,9,10,7]=>[7,10,9,12,8,11,5,6,1,3,2,4]
[4,2,3,1,11,8,12,9,10,6,7,5]=>[5,7,6,10,9,12,8,11,1,3,2,4]
[4,2,3,1,9,6,10,7,8,5,12,11]=>[11,12,5,8,7,10,6,9,1,3,2,4]
[4,2,3,1,9,6,12,10,11,7,8,5]=>[5,8,7,11,10,12,6,9,1,3,2,4]
[4,2,3,1,12,9,10,6,11,7,8,5]=>[5,8,7,11,6,10,9,12,1,3,2,4]
[4,2,3,1,11,7,10,6,12,8,9,5]=>[5,9,8,12,6,10,7,11,1,3,2,4]
[6,4,5,2,3,1,11,8,12,9,10,7]=>[7,10,9,12,8,11,1,3,2,5,4,6]
[11,8,12,9,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,9,12,8,11]
[9,6,10,7,8,4,5,2,3,1,12,11]=>[11,12,1,3,2,5,4,8,7,10,6,9]
[9,6,12,10,11,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,11,10,12,6,9]
[12,9,10,6,11,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,11,6,10,9,12]
[11,7,10,6,12,8,9,4,5,2,3,1]=>[1,3,2,5,4,9,8,12,6,10,7,11]
[7,4,8,5,6,2,3,1,10,9,12,11]=>[11,12,9,10,1,3,2,6,5,8,4,7]
[7,4,8,5,6,2,3,1,12,10,11,9]=>[9,11,10,12,1,3,2,6,5,8,4,7]
[7,4,10,8,9,5,6,2,3,1,12,11]=>[11,12,1,3,2,6,5,9,8,10,4,7]
[7,4,12,10,11,8,9,5,6,2,3,1]=>[1,3,2,6,5,9,8,11,10,12,4,7]
[7,4,11,8,12,9,10,5,6,2,3,1]=>[1,3,2,6,5,10,9,12,8,11,4,7]
[10,7,8,4,9,5,6,2,3,1,12,11]=>[11,12,1,3,2,6,5,9,4,8,7,10]
[12,10,11,7,8,4,9,5,6,2,3,1]=>[1,3,2,6,5,9,4,8,7,11,10,12]
[11,7,8,4,12,9,10,5,6,2,3,1]=>[1,3,2,6,5,10,9,12,4,8,7,11]
[12,8,9,4,11,7,10,5,6,2,3,1]=>[1,3,2,6,5,10,7,11,4,9,8,12]
[9,5,8,4,10,6,7,2,3,1,12,11]=>[11,12,1,3,2,7,6,10,4,8,5,9]
[9,5,8,4,12,10,11,6,7,2,3,1]=>[1,3,2,7,6,11,10,12,4,8,5,9]
[12,9,10,5,8,4,11,6,7,2,3,1]=>[1,3,2,7,6,11,4,8,5,10,9,12]
[10,5,12,8,9,4,11,6,7,2,3,1]=>[1,3,2,7,6,11,4,9,8,12,5,10]
[10,5,11,6,9,4,12,7,8,2,3,1]=>[1,3,2,8,7,12,4,9,6,11,5,10]
[5,2,6,3,4,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,4,3,6,2,5]
[5,2,6,3,4,1,8,7,12,10,11,9]=>[9,11,10,12,7,8,1,4,3,6,2,5]
[5,2,6,3,4,1,10,8,9,7,12,11]=>[11,12,7,9,8,10,1,4,3,6,2,5]
[5,2,6,3,4,1,12,10,11,8,9,7]=>[7,9,8,11,10,12,1,4,3,6,2,5]
[5,2,6,3,4,1,11,8,12,9,10,7]=>[7,10,9,12,8,11,1,4,3,6,2,5]
[5,2,8,6,7,3,4,1,10,9,12,11]=>[11,12,9,10,1,4,3,7,6,8,2,5]
[5,2,8,6,7,3,4,1,12,10,11,9]=>[9,11,10,12,1,4,3,7,6,8,2,5]
[5,2,10,8,9,6,7,3,4,1,12,11]=>[11,12,1,4,3,7,6,9,8,10,2,5]
[5,2,12,10,11,8,9,6,7,3,4,1]=>[1,4,3,7,6,9,8,11,10,12,2,5]
[5,2,11,8,12,9,10,6,7,3,4,1]=>[1,4,3,7,6,10,9,12,8,11,2,5]
[5,2,9,6,10,7,8,3,4,1,12,11]=>[11,12,1,4,3,8,7,10,6,9,2,5]
[5,2,9,6,12,10,11,7,8,3,4,1]=>[1,4,3,8,7,11,10,12,6,9,2,5]
[5,2,12,9,10,6,11,7,8,3,4,1]=>[1,4,3,8,7,11,6,10,9,12,2,5]
[5,2,11,7,10,6,12,8,9,3,4,1]=>[1,4,3,9,8,12,6,10,7,11,2,5]
[8,5,6,2,7,3,4,1,10,9,12,11]=>[11,12,9,10,1,4,3,7,2,6,5,8]
[8,5,6,2,7,3,4,1,12,10,11,9]=>[9,11,10,12,1,4,3,7,2,6,5,8]
[10,8,9,5,6,2,7,3,4,1,12,11]=>[11,12,1,4,3,7,2,6,5,9,8,10]
[12,10,11,8,9,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,9,8,11,10,12]
[11,8,12,9,10,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,10,9,12,8,11]
[9,5,6,2,10,7,8,3,4,1,12,11]=>[11,12,1,4,3,8,7,10,2,6,5,9]
[9,5,6,2,12,10,11,7,8,3,4,1]=>[1,4,3,8,7,11,10,12,2,6,5,9]
[12,9,10,5,6,2,11,7,8,3,4,1]=>[1,4,3,8,7,11,2,6,5,10,9,12]
[11,7,10,5,6,2,12,8,9,3,4,1]=>[1,4,3,9,8,12,2,6,5,10,7,11]
[10,6,7,2,9,5,8,3,4,1,12,11]=>[11,12,1,4,3,8,5,9,2,7,6,10]
[12,10,11,6,7,2,9,5,8,3,4,1]=>[1,4,3,8,5,9,2,7,6,11,10,12]
[11,6,7,2,12,9,10,5,8,3,4,1]=>[1,4,3,8,5,10,9,12,2,7,6,11]
[10,5,11,6,7,2,12,8,9,3,4,1]=>[1,4,3,9,8,12,2,7,6,11,5,10]
[10,5,12,7,8,2,11,6,9,3,4,1]=>[1,4,3,9,6,11,2,8,7,12,5,10]
[7,3,6,2,8,4,5,1,10,9,12,11]=>[11,12,9,10,1,5,4,8,2,6,3,7]
[7,3,6,2,8,4,5,1,12,10,11,9]=>[9,11,10,12,1,5,4,8,2,6,3,7]
[7,3,6,2,10,8,9,4,5,1,12,11]=>[11,12,1,5,4,9,8,10,2,6,3,7]
[7,3,6,2,12,10,11,8,9,4,5,1]=>[1,5,4,9,8,11,10,12,2,6,3,7]
[7,3,6,2,11,8,12,9,10,4,5,1]=>[1,5,4,10,9,12,8,11,2,6,3,7]
[10,7,8,3,6,2,9,4,5,1,12,11]=>[11,12,1,5,4,9,2,6,3,8,7,10]
[12,10,11,7,8,3,6,2,9,4,5,1]=>[1,5,4,9,2,6,3,8,7,11,10,12]
[11,7,8,3,6,2,12,9,10,4,5,1]=>[1,5,4,10,9,12,2,6,3,8,7,11]
[12,8,9,3,6,2,11,7,10,4,5,1]=>[1,5,4,10,7,11,2,6,3,9,8,12]
[8,3,10,6,7,2,9,4,5,1,12,11]=>[11,12,1,5,4,9,2,7,6,10,3,8]
[8,3,12,10,11,6,7,2,9,4,5,1]=>[1,5,4,9,2,7,6,11,10,12,3,8]
[8,3,11,6,7,2,12,9,10,4,5,1]=>[1,5,4,10,9,12,2,7,6,11,3,8]
[11,6,7,2,12,8,9,3,10,4,5,1]=>[1,5,4,10,3,9,8,12,2,7,6,11]
[12,7,8,2,11,6,9,3,10,4,5,1]=>[1,5,4,10,3,9,6,11,2,8,7,12]
[8,3,9,4,7,2,10,5,6,1,12,11]=>[11,12,1,6,5,10,2,7,4,9,3,8]
[8,3,9,4,7,2,12,10,11,5,6,1]=>[1,6,5,11,10,12,2,7,4,9,3,8]
[8,3,12,9,10,4,7,2,11,5,6,1]=>[1,6,5,11,2,7,4,10,9,12,3,8]
[12,8,9,3,10,4,7,2,11,5,6,1]=>[1,6,5,11,2,7,4,10,3,9,8,12]
[10,4,9,3,12,7,8,2,11,5,6,1]=>[1,6,5,11,2,8,7,12,3,9,4,10]
[10,4,9,3,11,5,8,2,12,6,7,1]=>[1,7,6,12,2,8,5,11,3,9,4,10]
[11,12,9,10,7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7,10,9,12,11]
[11,12,9,10,7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7,10,9,12,11]
[11,12,9,10,7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7,10,9,12,11]
[11,12,9,10,7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7,10,9,12,11]
[11,12,9,10,8,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,8,10,9,12,11]
[11,12,9,10,8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8,10,9,12,11]
[11,12,9,10,8,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,8,10,9,12,11]
[11,12,9,10,8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8,10,9,12,11]
[11,12,9,10,8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8,10,9,12,11]
[11,12,9,10,8,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,8,10,9,12,11]
[11,12,9,10,8,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,8,10,9,12,11]
[11,12,9,10,8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8,10,9,12,11]
[11,12,9,10,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,10,9,12,11]
[11,12,10,8,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,8,10,12,11]
[11,12,10,8,7,9,5,6,4,2,1,3]=>[3,1,2,4,6,5,9,7,8,10,12,11]
[11,12,10,8,7,9,6,4,3,5,1,2]=>[2,1,5,3,4,6,9,7,8,10,12,11]
[11,12,10,8,7,9,6,4,5,2,1,3]=>[3,1,2,5,4,6,9,7,8,10,12,11]
[11,12,10,8,7,9,6,5,3,2,1,4]=>[4,1,2,3,5,6,9,7,8,10,12,11]
[11,12,10,8,9,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,9,8,10,12,11]
[11,12,10,8,9,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,9,8,10,12,11]
[11,12,10,8,9,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,9,8,10,12,11]
[11,12,10,8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8,10,12,11]
[11,12,10,8,9,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,9,8,10,12,11]
[11,12,10,8,9,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,9,8,10,12,11]
[11,12,10,8,9,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,9,8,10,12,11]
[11,12,10,8,9,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,9,8,10,12,11]
[11,12,10,8,9,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,9,8,10,12,11]
[11,12,10,9,7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7,9,10,12,11]
[11,12,10,9,7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7,9,10,12,11]
[11,12,10,9,7,6,8,4,3,5,1,2]=>[2,1,5,3,4,8,6,7,9,10,12,11]
[11,12,10,9,7,6,8,4,5,2,1,3]=>[3,1,2,5,4,8,6,7,9,10,12,11]
[11,12,10,9,7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7,9,10,12,11]
[11,12,10,9,7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7,9,10,12,11]
[11,12,10,9,7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7,9,10,12,11]
[11,12,10,9,7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7,9,10,12,11]
[11,12,10,9,7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7,9,10,12,11]
[11,12,10,9,8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8,9,10,12,11]
[11,12,10,9,8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8,9,10,12,11]
[11,12,10,9,8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8,9,10,12,11]
[11,12,10,9,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,9,10,12,11]
[11,12,10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10,12,11]
[12,10,9,11,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,11,9,10,12]
[12,10,9,11,7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7,11,9,10,12]
[12,10,9,11,7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7,11,9,10,12]
[12,10,9,11,7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7,11,9,10,12]
[12,10,9,11,7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7,11,9,10,12]
[12,10,9,11,8,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,8,11,9,10,12]
[12,10,9,11,8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8,11,9,10,12]
[12,10,9,11,8,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,8,11,9,10,12]
[12,10,9,11,8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8,11,9,10,12]
[12,10,9,11,8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8,11,9,10,12]
[12,10,9,11,8,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,8,11,9,10,12]
[12,10,9,11,8,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,8,11,9,10,12]
[12,10,9,11,8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8,11,9,10,12]
[12,10,9,11,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,11,9,10,12]
[12,10,11,8,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,8,11,10,12]
[12,10,11,8,7,9,5,6,4,2,1,3]=>[3,1,2,4,6,5,9,7,8,11,10,12]
[12,10,11,8,7,9,6,4,3,5,1,2]=>[2,1,5,3,4,6,9,7,8,11,10,12]
[12,10,11,8,7,9,6,4,5,2,1,3]=>[3,1,2,5,4,6,9,7,8,11,10,12]
[12,10,11,8,7,9,6,5,3,2,1,4]=>[4,1,2,3,5,6,9,7,8,11,10,12]
[12,10,11,8,9,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,9,8,11,10,12]
[12,10,11,8,9,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,9,8,11,10,12]
[12,10,11,8,9,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,9,8,11,10,12]
[12,10,11,8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8,11,10,12]
[12,10,11,8,9,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,9,8,11,10,12]
[12,10,11,8,9,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,9,8,11,10,12]
[12,10,11,8,9,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,9,8,11,10,12]
[12,10,11,8,9,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,9,8,11,10,12]
[12,10,11,8,9,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,9,8,11,10,12]
[12,10,11,9,7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7,9,11,10,12]
[12,10,11,9,7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7,9,11,10,12]
[12,10,11,9,7,6,8,4,3,5,1,2]=>[2,1,5,3,4,8,6,7,9,11,10,12]
[12,10,11,9,7,6,8,4,5,2,1,3]=>[3,1,2,5,4,8,6,7,9,11,10,12]
[12,10,11,9,7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7,9,11,10,12]
[12,10,11,9,7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7,9,11,10,12]
[12,10,11,9,7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7,9,11,10,12]
[12,10,11,9,7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7,9,11,10,12]
[12,10,11,9,7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7,9,11,10,12]
[12,10,11,9,8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8,9,11,10,12]
[12,10,11,9,8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8,9,11,10,12]
[12,10,11,9,8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8,9,11,10,12]
[12,10,11,9,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,9,11,10,12]
[12,10,11,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,11,10,12]
[12,11,9,8,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,8,9,11,12]
[12,11,9,8,7,10,5,6,4,2,1,3]=>[3,1,2,4,6,5,10,7,8,9,11,12]
[12,11,9,8,7,10,6,4,3,5,1,2]=>[2,1,5,3,4,6,10,7,8,9,11,12]
[12,11,9,8,7,10,6,4,5,2,1,3]=>[3,1,2,5,4,6,10,7,8,9,11,12]
[12,11,9,8,7,10,6,5,3,2,1,4]=>[4,1,2,3,5,6,10,7,8,9,11,12]
[12,11,9,8,10,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,10,8,9,11,12]
[12,11,9,8,10,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,10,8,9,11,12]
[12,11,9,8,10,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,10,8,9,11,12]
[12,11,9,8,10,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,10,8,9,11,12]
[12,11,9,8,10,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,10,8,9,11,12]
[12,11,9,8,10,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,10,8,9,11,12]
[12,11,9,8,10,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,10,8,9,11,12]
[12,11,9,8,10,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,10,8,9,11,12]
[12,11,9,8,10,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,10,8,9,11,12]
[12,11,9,10,7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7,10,9,11,12]
[12,11,9,10,7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7,10,9,11,12]
[12,11,9,10,7,6,8,4,3,5,1,2]=>[2,1,5,3,4,8,6,7,10,9,11,12]
[12,11,9,10,7,6,8,4,5,2,1,3]=>[3,1,2,5,4,8,6,7,10,9,11,12]
[12,11,9,10,7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7,10,9,11,12]
[12,11,9,10,7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7,10,9,11,12]
[12,11,9,10,7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7,10,9,11,12]
[12,11,9,10,7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7,10,9,11,12]
[12,11,9,10,7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7,10,9,11,12]
[12,11,9,10,8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8,10,9,11,12]
[12,11,9,10,8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8,10,9,11,12]
[12,11,9,10,8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8,10,9,11,12]
[12,11,9,10,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,10,9,11,12]
[12,11,9,10,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,10,9,11,12]
[12,11,10,8,7,6,5,9,3,4,1,2]=>[2,1,4,3,9,5,6,7,8,10,11,12]
[12,11,10,8,7,6,5,9,4,2,1,3]=>[3,1,2,4,9,5,6,7,8,10,11,12]
[12,11,10,8,7,6,9,4,3,5,1,2]=>[2,1,5,3,4,9,6,7,8,10,11,12]
[12,11,10,8,7,6,9,4,5,2,1,3]=>[3,1,2,5,4,9,6,7,8,10,11,12]
[12,11,10,8,7,6,9,5,3,2,1,4]=>[4,1,2,3,5,9,6,7,8,10,11,12]
[12,11,10,8,7,9,5,4,3,6,1,2]=>[2,1,6,3,4,5,9,7,8,10,11,12]
[12,11,10,8,7,9,5,4,6,2,1,3]=>[3,1,2,6,4,5,9,7,8,10,11,12]
[12,11,10,8,7,9,5,6,3,2,1,4]=>[4,1,2,3,6,5,9,7,8,10,11,12]
[12,11,10,8,7,9,6,4,3,2,1,5]=>[5,1,2,3,4,6,9,7,8,10,11,12]
[12,11,10,8,9,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,9,8,10,11,12]
[12,11,10,8,9,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,9,8,10,11,12]
[12,11,10,8,9,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,9,8,10,11,12]
[12,11,10,8,9,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,9,8,10,11,12]
[12,11,10,8,9,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,9,8,10,11,12]
[12,11,10,9,7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7,9,10,11,12]
[12,11,10,9,7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7,9,10,11,12]
[12,11,10,9,7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7,9,10,11,12]
[12,11,10,9,7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7,9,10,11,12]
[12,11,10,9,7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7,9,10,11,12]
[2,3,1,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,1,3,2]
[2,3,4,5,1,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,1,5,4,3,2]
[2,3,4,5,6,7,1,8,9,10,11,12]=>[12,11,10,9,8,1,7,6,5,4,3,2]
[2,3,4,5,6,7,8,9,1,10,11,12]=>[12,11,10,1,9,8,7,6,5,4,3,2]
[1,9,3,12,2,10,4,11,5,7,6,8]=>[8,6,7,5,11,4,10,2,12,3,9,1]
[1,11,2,12,3,7,5,10,4,8,6,9]=>[9,6,8,4,10,5,7,3,12,2,11,1]
[1,7,5,11,2,10,4,8,6,9,3,12]=>[12,3,9,6,8,4,10,2,11,5,7,1]
[1,7,5,11,2,8,6,10,4,12,3,9]=>[9,3,12,4,10,6,8,2,11,5,7,1]
[1,9,3,12,2,10,4,11,5,6,7,8]=>[8,7,6,5,11,4,10,2,12,3,9,1]
[1,11,2,12,3,5,10,4,8,7,9,6]=>[6,9,7,8,4,10,5,3,12,2,11,1]
[1,5,11,2,10,4,8,7,9,3,12,6]=>[6,12,3,9,7,8,4,10,2,11,5,1]
[1,5,11,2,8,7,10,4,12,3,9,6]=>[6,9,3,12,4,10,7,8,2,11,5,1]
[1,11,2,12,3,5,7,9,4,6,10,8]=>[8,10,6,4,9,7,5,3,12,2,11,1]
[1,5,7,9,3,12,2,10,4,6,11,8]=>[8,11,6,4,10,2,12,3,9,7,5,1]
[1,5,7,10,4,12,2,6,11,3,9,8]=>[8,9,3,11,6,2,12,4,10,7,5,1]
[1,11,2,12,3,9,6,8,4,10,5,7]=>[7,5,10,4,8,6,9,3,12,2,11,1]
[1,9,6,8,4,11,2,10,5,7,3,12]=>[12,3,7,5,10,2,11,4,8,6,9,1]
[1,11,2,12,3,7,4,8,5,10,6,9]=>[9,6,10,5,8,4,7,3,12,2,11,1]
[1,7,3,12,2,10,5,11,4,8,6,9]=>[9,6,8,4,11,5,10,2,12,3,7,1]
[1,7,3,9,6,10,5,11,2,8,4,12]=>[12,4,8,2,11,5,10,6,9,3,7,1]
[1,11,2,12,3,9,7,8,4,10,5,6]=>[6,5,10,4,8,7,9,3,12,2,11,1]
[1,9,7,8,4,11,2,10,5,3,12,6]=>[6,12,3,5,10,2,11,4,8,7,9,1]
[1,11,2,12,3,4,8,5,10,6,7,9]=>[9,7,6,10,5,8,4,3,12,2,11,1]
[1,3,12,2,10,5,11,4,8,6,7,9]=>[9,7,6,8,4,11,5,10,2,12,3,1]
[1,3,9,7,10,5,11,2,8,4,12,6]=>[6,12,4,8,2,11,5,10,7,9,3,1]
[1,11,2,12,3,4,6,10,5,7,9,8]=>[8,9,7,5,10,6,4,3,12,2,11,1]
[1,3,12,2,10,5,7,9,8,4,6,11]=>[11,6,4,8,9,7,5,10,2,12,3,1]
[1,3,9,8,4,12,2,6,11,5,7,10]=>[10,7,5,11,6,2,12,4,8,9,3,1]
[1,3,7,10,5,12,2,6,11,4,8,9]=>[9,8,4,11,6,2,12,5,10,7,3,1]
[1,11,2,12,3,9,7,5,4,10,6,8]=>[8,6,10,4,5,7,9,3,12,2,11,1]
[1,9,7,5,3,12,2,10,6,4,11,8]=>[8,11,4,6,10,2,12,3,5,7,9,1]
[1,11,2,12,3,4,8,9,7,5,10,6]=>[6,10,5,7,9,8,4,3,12,2,11,1]
[1,3,12,2,10,6,4,8,9,7,5,11]=>[11,5,7,9,8,4,6,10,2,12,3,1]
[1,3,9,7,5,11,2,8,10,6,4,12]=>[12,4,6,10,8,2,11,5,7,9,3,1]
[1,11,2,12,3,4,5,7,6,10,8,9]=>[9,8,10,6,7,5,4,3,12,2,11,1]
[1,3,12,2,10,6,11,4,5,7,8,9]=>[9,8,7,5,4,11,6,10,2,12,3,1]
[1,3,9,8,10,6,11,2,4,12,5,7]=>[7,5,12,4,2,11,6,10,8,9,3,1]
[1,3,7,5,12,2,4,8,10,6,11,9]=>[9,11,6,10,8,4,2,12,5,7,3,1]
[1,11,2,12,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,12,2,11,1]
[1,3,12,2,10,7,11,4,5,6,8,9]=>[9,8,6,5,4,11,7,10,2,12,3,1]
[1,3,9,8,10,7,11,2,4,12,5,6]=>[6,5,12,4,2,11,7,10,8,9,3,1]
[1,3,5,12,2,4,8,10,7,11,6,9]=>[9,6,11,7,10,8,4,2,12,5,3,1]
[1,3,5,7,11,2,4,6,12,8,10,9]=>[9,10,8,12,6,4,2,11,7,5,3,1]
[1,11,4,10,2,12,3,9,5,7,6,8]=>[8,6,7,5,9,3,12,2,10,4,11,1]
[1,9,2,10,3,12,4,11,5,7,6,8]=>[8,6,7,5,11,4,12,3,10,2,9,1]
[1,11,4,8,6,9,2,12,3,7,5,10]=>[10,5,7,3,12,2,9,6,8,4,11,1]
[1,7,5,11,4,8,6,9,2,10,3,12]=>[12,3,10,2,9,6,8,4,11,5,7,1]
[1,7,5,11,4,12,3,9,2,8,6,10]=>[10,6,8,2,9,3,12,4,11,5,7,1]
[1,11,4,10,2,12,3,9,5,6,7,8]=>[8,7,6,5,9,3,12,2,10,4,11,1]
[1,9,2,10,3,12,4,11,5,6,7,8]=>[8,7,6,5,11,4,12,3,10,2,9,1]
[1,11,4,8,7,9,2,12,3,5,10,6]=>[6,10,5,3,12,2,9,7,8,4,11,1]
[1,5,11,4,8,7,9,2,10,3,12,6]=>[6,12,3,10,2,9,7,8,4,11,5,1]
[1,5,11,4,12,3,9,2,8,7,10,6]=>[6,10,7,8,2,9,3,12,4,11,5,1]
[1,11,4,6,10,2,12,3,5,7,9,8]=>[8,9,7,5,3,12,2,10,6,4,11,1]
[1,5,7,9,2,10,3,12,4,6,11,8]=>[8,11,6,4,12,3,10,2,9,7,5,1]
[1,5,7,10,2,6,11,4,12,3,9,8]=>[8,9,3,12,4,11,6,2,10,7,5,1]
[1,5,12,3,7,10,2,6,11,4,8,9]=>[9,8,4,11,6,2,10,7,3,12,5,1]
[1,11,5,7,2,12,3,9,6,8,4,10]=>[10,4,8,6,9,3,12,2,7,5,11,1]
[1,9,6,8,4,11,5,7,2,10,3,12]=>[12,3,10,2,7,5,11,4,8,6,9,1]
[1,11,5,10,2,12,3,7,4,8,6,9]=>[9,6,8,4,7,3,12,2,10,5,11,1]
[1,7,2,10,3,12,4,8,5,11,6,9]=>[9,6,11,5,8,4,12,3,10,2,7,1]
[1,7,2,8,4,12,3,9,6,10,5,11]=>[11,5,10,6,9,3,12,4,8,2,7,1]
[1,11,5,2,12,3,9,7,8,4,10,6]=>[6,10,4,8,7,9,3,12,2,5,11,1]
[1,9,7,8,4,11,5,2,10,3,12,6]=>[6,12,3,10,2,5,11,4,8,7,9,1]
[1,11,5,10,2,12,3,4,8,6,7,9]=>[9,7,6,8,4,3,12,2,10,5,11,1]
[1,2,10,3,12,4,8,5,11,6,7,9]=>[9,7,6,11,5,8,4,12,3,10,2,1]
[1,2,8,4,12,3,9,7,10,5,11,6]=>[6,11,5,10,7,9,3,12,4,8,2,1]
[1,11,5,7,9,8,4,6,10,2,12,3]=>[3,12,2,10,6,4,8,9,7,5,11,1]
[1,2,10,3,12,4,6,11,5,7,9,8]=>[8,9,7,5,11,6,4,12,3,10,2,1]
[1,2,6,11,5,7,10,3,9,8,4,12]=>[12,4,8,9,3,10,7,5,11,6,2,1]
[1,2,6,11,5,12,3,7,10,4,8,9]=>[9,8,4,10,7,3,12,5,11,6,2,1]
[1,11,6,4,10,2,12,3,9,7,5,8]=>[8,5,7,9,3,12,2,10,4,6,11,1]
[1,9,7,5,2,10,3,12,4,11,6,8]=>[8,6,11,4,12,3,10,2,5,7,9,1]
[1,11,6,4,8,9,7,5,10,2,12,3]=>[3,12,2,10,5,7,9,8,4,6,11,1]
[1,2,10,3,12,4,8,9,7,5,11,6]=>[6,11,5,7,9,8,4,12,3,10,2,1]
[1,2,8,10,3,9,7,5,11,6,4,12]=>[12,4,6,11,5,7,9,3,10,8,2,1]
[1,11,6,10,2,12,3,4,5,7,8,9]=>[9,8,7,5,4,3,12,2,10,6,11,1]
[1,2,10,3,12,4,5,7,6,11,8,9]=>[9,8,11,6,7,5,4,12,3,10,2,1]
[1,2,4,12,3,9,8,10,5,7,6,11]=>[11,6,7,5,10,8,9,3,12,4,2,1]
[1,2,4,8,10,3,7,5,12,6,11,9]=>[9,11,6,12,5,7,3,10,8,4,2,1]
[1,11,7,10,2,12,3,4,5,6,8,9]=>[9,8,6,5,4,3,12,2,10,7,11,1]
[1,2,10,3,12,4,5,6,7,11,8,9]=>[9,8,11,7,6,5,4,12,3,10,2,1]
[1,2,4,12,3,9,8,10,5,6,7,11]=>[11,7,6,5,10,8,9,3,12,4,2,1]
[1,2,4,8,10,3,5,12,6,7,11,9]=>[9,11,7,6,12,5,3,10,8,4,2,1]
[1,2,4,6,12,3,5,7,11,8,10,9]=>[9,10,8,11,7,5,3,12,6,4,2,1]
[1,11,5,7,2,12,4,10,6,8,3,9]=>[9,3,8,6,10,4,12,2,7,5,11,1]
[1,9,3,12,4,11,5,7,2,10,6,8]=>[8,6,10,2,7,5,11,4,12,3,9,1]
[1,11,5,10,6,9,3,7,2,12,4,8]=>[8,4,12,2,7,3,9,6,10,5,11,1]
[1,7,2,10,6,9,3,12,4,8,5,11]=>[11,5,8,4,12,3,9,6,10,2,7,1]
[1,7,2,8,3,9,4,12,5,11,6,10]=>[10,6,11,5,12,4,9,3,8,2,7,1]
[1,11,5,2,12,4,10,7,8,3,9,6]=>[6,9,3,8,7,10,4,12,2,5,11,1]
[1,9,3,12,4,11,5,2,10,7,8,6]=>[6,8,7,10,2,5,11,4,12,3,9,1]
[1,11,5,10,7,9,3,2,12,4,8,6]=>[6,8,4,12,2,3,9,7,10,5,11,1]
[1,2,10,7,9,3,12,4,8,5,11,6]=>[6,11,5,8,4,12,3,9,7,10,2,1]
[1,2,8,3,9,4,12,5,11,6,7,10]=>[10,7,6,11,5,12,4,9,3,8,2,1]
[1,11,5,7,9,3,2,12,4,6,10,8]=>[8,10,6,4,12,2,3,9,7,5,11,1]
[1,2,10,8,3,12,4,6,11,5,7,9]=>[9,7,5,11,6,4,12,3,8,10,2,1]
[1,2,6,11,5,7,10,8,3,9,4,12]=>[12,4,9,3,8,10,7,5,11,6,2,1]
[1,2,6,11,5,12,4,8,3,7,10,9]=>[9,10,7,3,8,4,12,5,11,6,2,1]
[1,11,6,2,12,4,10,7,5,3,9,8]=>[8,9,3,5,7,10,4,12,2,6,11,1]
[1,9,3,12,4,11,6,2,10,7,5,8]=>[8,5,7,10,2,6,11,4,12,3,9,1]
[1,11,6,2,12,4,8,9,3,5,10,7]=>[7,10,5,3,9,8,4,12,2,6,11,1]
[1,2,10,7,5,11,6,3,12,4,8,9]=>[9,8,4,12,3,6,11,5,7,10,2,1]
[1,2,8,10,7,5,11,6,3,9,4,12]=>[12,4,9,3,6,11,5,7,10,8,2,1]
[1,11,6,10,8,9,3,2,12,4,5,7]=>[7,5,4,12,2,3,9,8,10,6,11,1]
[1,2,10,8,9,3,12,4,5,7,6,11]=>[11,6,7,5,4,12,3,9,8,10,2,1]
[1,2,3,9,4,12,5,7,6,11,8,10]=>[10,8,11,6,7,5,12,4,9,3,2,1]
[1,2,3,7,5,12,4,8,10,9,6,11]=>[11,6,9,10,8,4,12,5,7,3,2,1]
[1,11,7,10,8,9,3,2,12,4,5,6]=>[6,5,4,12,2,3,9,8,10,7,11,1]
[1,2,10,8,9,3,12,4,5,6,7,11]=>[11,7,6,5,4,12,3,9,8,10,2,1]
[1,2,3,9,4,12,5,6,7,11,8,10]=>[10,8,11,7,6,5,12,4,9,3,2,1]
[1,2,3,5,12,4,8,10,9,6,7,11]=>[11,7,6,9,10,8,4,12,5,3,2,1]
[1,2,3,5,7,11,8,10,9,4,6,12]=>[12,6,4,9,10,8,11,7,5,3,2,1]
[1,11,6,2,12,5,3,9,8,4,10,7]=>[7,10,4,8,9,3,5,12,2,6,11,1]
[1,9,8,4,11,6,2,10,7,3,12,5]=>[5,12,3,7,10,2,6,11,4,8,9,1]
[1,11,6,2,12,5,10,7,3,4,8,9]=>[9,8,4,3,7,10,5,12,2,6,11,1]
[1,2,10,7,3,12,5,11,6,4,8,9]=>[9,8,4,6,11,5,12,3,7,10,2,1]
[1,2,8,4,12,5,11,6,3,9,10,7]=>[7,10,9,3,6,11,5,12,4,8,2,1]
[1,11,6,10,8,4,2,12,5,7,3,9]=>[9,3,7,5,12,2,4,8,10,6,11,1]
[1,2,10,8,4,3,12,5,7,6,11,9]=>[9,11,6,7,5,12,3,4,8,10,2,1]
[1,2,3,9,10,8,4,12,5,7,6,11]=>[11,6,7,5,12,4,8,10,9,3,2,1]
[1,2,3,7,4,8,5,12,6,11,9,10]=>[10,9,11,6,12,5,8,4,7,3,2,1]
[1,11,7,10,8,4,2,12,5,3,6,9]=>[9,6,3,5,12,2,4,8,10,7,11,1]
[1,2,10,8,4,3,12,5,6,7,11,9]=>[9,11,7,6,5,12,3,4,8,10,2,1]
[1,2,3,9,10,8,4,12,5,6,7,11]=>[11,7,6,5,12,4,8,10,9,3,2,1]
[1,2,3,4,8,5,12,6,7,11,9,10]=>[10,9,11,7,6,12,5,8,4,3,2,1]
[1,2,3,4,6,12,5,7,11,8,9,10]=>[10,9,8,11,7,5,12,6,4,3,2,1]
[1,11,7,5,3,2,12,6,4,8,10,9]=>[9,10,8,4,6,12,2,3,5,7,11,1]
[1,2,10,8,11,7,5,3,12,6,4,9]=>[9,4,6,12,3,5,7,11,8,10,2,1]
[1,2,3,9,10,8,11,7,5,4,12,6]=>[6,12,4,5,7,11,8,10,9,3,2,1]
[1,2,3,4,8,11,7,5,12,6,9,10]=>[10,9,6,12,5,7,11,8,4,3,2,1]
[1,2,3,4,5,7,6,12,8,11,9,10]=>[10,9,11,8,12,6,7,5,4,3,2,1]
[4,1,6,3,8,5,10,7,12,9,11,2]=>[2,11,9,12,7,10,5,8,3,6,1,4]
[6,1,2,3,8,5,10,7,12,9,11,4]=>[4,11,9,12,7,10,5,8,3,2,1,6]
[6,1,8,3,4,5,10,7,12,9,11,2]=>[2,11,9,12,7,10,5,4,3,8,1,6]
[8,5,2,1,4,3,10,7,12,9,11,6]=>[6,11,9,12,7,10,3,4,1,2,5,8]
[8,1,2,3,4,5,10,7,12,9,11,6]=>[6,11,9,12,7,10,5,4,3,2,1,8]
[4,1,8,3,10,5,6,7,12,9,11,2]=>[2,11,9,12,7,6,5,10,3,8,1,4]
[8,1,2,3,10,5,6,7,12,9,11,4]=>[4,11,9,12,7,6,5,10,3,2,1,8]
[8,1,10,7,4,3,6,5,12,9,11,2]=>[2,11,9,12,5,6,3,4,7,10,1,8]
[10,5,2,7,4,1,6,3,12,9,11,8]=>[8,11,9,12,3,6,1,4,7,2,5,10]
[10,7,2,3,4,1,6,5,12,9,11,8]=>[8,11,9,12,5,6,1,4,3,2,7,10]
[8,1,10,3,4,5,6,7,12,9,11,2]=>[2,11,9,12,7,6,5,4,3,10,1,8]
[10,7,2,1,4,5,6,3,12,9,11,8]=>[8,11,9,12,3,6,5,4,1,2,7,10]
[10,1,6,3,2,5,4,7,12,9,11,8]=>[8,11,9,12,7,4,5,2,3,6,1,10]
[10,1,2,3,4,5,6,7,12,9,11,8]=>[8,11,9,12,7,6,5,4,3,2,1,10]
[4,1,6,3,10,5,12,7,8,9,11,2]=>[2,11,9,8,7,12,5,10,3,6,1,4]
[6,1,2,3,10,5,12,7,8,9,11,4]=>[4,11,9,8,7,12,5,10,3,2,1,6]
[6,1,10,3,4,5,12,7,8,9,11,2]=>[2,11,9,8,7,12,5,4,3,10,1,6]
[10,5,2,1,4,3,12,7,8,9,11,6]=>[6,11,9,8,7,12,3,4,1,2,5,10]
[10,1,2,3,4,5,12,7,8,9,11,6]=>[6,11,9,8,7,12,5,4,3,2,1,10]
[4,1,10,3,12,9,6,5,8,7,11,2]=>[2,11,7,8,5,6,9,12,3,10,1,4]
[10,1,2,3,12,9,6,5,8,7,11,4]=>[4,11,7,8,5,6,9,12,3,2,1,10]
[10,1,12,7,4,9,6,3,8,5,11,2]=>[2,11,5,8,3,6,9,4,7,12,1,10]
[12,5,2,7,4,9,6,1,8,3,11,10]=>[10,11,3,8,1,6,9,4,7,2,5,12]
[12,7,2,3,4,9,6,1,8,5,11,10]=>[10,11,5,8,1,6,9,4,3,2,7,12]
[10,1,12,9,4,5,6,3,8,7,11,2]=>[2,11,7,8,3,6,5,4,9,12,1,10]
[12,7,2,9,4,5,6,1,8,3,11,10]=>[10,11,3,8,1,6,5,4,9,2,7,12]
[12,9,6,3,2,5,4,1,8,7,11,10]=>[10,11,7,8,1,4,5,2,3,6,9,12]
[12,9,2,3,4,5,6,1,8,7,11,10]=>[10,11,7,8,1,6,5,4,3,2,9,12]
[4,1,10,3,12,5,6,7,8,9,11,2]=>[2,11,9,8,7,6,5,12,3,10,1,4]
[10,1,2,3,12,5,6,7,8,9,11,4]=>[4,11,9,8,7,6,5,12,3,2,1,10]
[10,1,12,9,4,3,6,7,8,5,11,2]=>[2,11,5,8,7,6,3,4,9,12,1,10]
[12,5,2,9,4,1,6,7,8,3,11,10]=>[10,11,3,8,7,6,1,4,9,2,5,12]
[12,9,2,3,4,1,6,7,8,5,11,10]=>[10,11,5,8,7,6,1,4,3,2,9,12]
[10,1,12,3,8,5,4,7,6,9,11,2]=>[2,11,9,6,7,4,5,8,3,12,1,10]
[12,9,2,1,8,5,4,7,6,3,11,10]=>[10,11,3,6,7,4,5,8,1,2,9,12]
[12,1,6,3,8,5,2,7,4,9,11,10]=>[10,11,9,4,7,2,5,8,3,6,1,12]
[12,1,8,3,4,5,2,7,6,9,11,10]=>[10,11,9,6,7,2,5,4,3,8,1,12]
[10,1,12,3,4,5,6,7,8,9,11,2]=>[2,11,9,8,7,6,5,4,3,12,1,10]
[12,9,2,1,4,5,6,7,8,3,11,10]=>[10,11,3,8,7,6,5,4,1,2,9,12]
[12,1,8,3,2,5,6,7,4,9,11,10]=>[10,11,9,4,7,6,5,2,3,8,1,12]
[12,1,2,7,4,3,6,5,8,9,11,10]=>[10,11,9,8,5,6,3,4,7,2,1,12]
[12,1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1,12]
[4,1,6,3,8,5,12,7,9,10,11,2]=>[2,11,10,9,7,12,5,8,3,6,1,4]
[6,1,2,3,8,5,12,7,9,10,11,4]=>[4,11,10,9,7,12,5,8,3,2,1,6]
[6,1,8,3,4,5,12,7,9,10,11,2]=>[2,11,10,9,7,12,5,4,3,8,1,6]
[8,5,2,1,4,3,12,7,9,10,11,6]=>[6,11,10,9,7,12,3,4,1,2,5,8]
[8,1,2,3,4,5,12,7,9,10,11,6]=>[6,11,10,9,7,12,5,4,3,2,1,8]
[4,1,8,3,12,5,6,7,9,10,11,2]=>[2,11,10,9,7,6,5,12,3,8,1,4]
[8,1,2,3,12,5,6,7,9,10,11,4]=>[4,11,10,9,7,6,5,12,3,2,1,8]
[8,1,12,7,4,3,6,5,9,10,11,2]=>[2,11,10,9,5,6,3,4,7,12,1,8]
[12,5,2,7,4,1,6,3,9,10,11,8]=>[8,11,10,9,3,6,1,4,7,2,5,12]
[12,7,2,3,4,1,6,5,9,10,11,8]=>[8,11,10,9,5,6,1,4,3,2,7,12]
[8,1,12,3,4,5,6,7,9,10,11,2]=>[2,11,10,9,7,6,5,4,3,12,1,8]
[12,7,2,1,4,5,6,3,9,10,11,8]=>[8,11,10,9,3,6,5,4,1,2,7,12]
[12,1,6,3,2,5,4,7,9,10,11,8]=>[8,11,10,9,7,4,5,2,3,6,1,12]
[12,1,2,3,4,5,6,7,9,10,11,8]=>[8,11,10,9,7,6,5,4,3,2,1,12]
[4,1,6,3,12,5,7,11,8,10,9,2]=>[2,9,10,8,11,7,5,12,3,6,1,4]
[6,1,2,3,12,5,7,11,8,10,9,4]=>[4,9,10,8,11,7,5,12,3,2,1,6]
[6,1,12,3,4,5,7,11,8,10,9,2]=>[2,9,10,8,11,7,5,4,3,12,1,6]
[12,5,2,1,4,3,7,11,8,10,9,6]=>[6,9,10,8,11,7,3,4,1,2,5,12]
[12,1,2,3,4,5,7,11,8,10,9,6]=>[6,9,10,8,11,7,5,4,3,2,1,12]
[4,1,12,3,5,9,6,11,8,10,7,2]=>[2,7,10,8,11,6,9,5,3,12,1,4]
[12,1,2,3,5,9,6,11,8,10,7,4]=>[4,7,10,8,11,6,9,5,3,2,1,12]
[12,1,3,7,4,9,6,11,8,10,5,2]=>[2,5,10,8,11,6,9,4,7,3,1,12]
[1,5,2,7,4,9,6,11,8,10,3,12]=>[12,3,10,8,11,6,9,4,7,2,5,1]
[1,7,2,3,4,9,6,11,8,10,5,12]=>[12,5,10,8,11,6,9,4,3,2,7,1]
[12,1,3,9,4,5,6,11,8,10,7,2]=>[2,7,10,8,11,6,5,4,9,3,1,12]
[1,7,2,9,4,5,6,11,8,10,3,12]=>[12,3,10,8,11,6,5,4,9,2,7,1]
[1,9,6,3,2,5,4,11,8,10,7,12]=>[12,7,10,8,11,4,5,2,3,6,9,1]
[1,9,2,3,4,5,6,11,8,10,7,12]=>[12,7,10,8,11,6,5,4,3,2,9,1]
[4,1,12,3,5,11,6,7,8,10,9,2]=>[2,9,10,8,7,6,11,5,3,12,1,4]
[12,1,2,3,5,11,6,7,8,10,9,4]=>[4,9,10,8,7,6,11,5,3,2,1,12]
[12,1,3,9,4,11,6,7,8,10,5,2]=>[2,5,10,8,7,6,11,4,9,3,1,12]
[1,5,2,9,4,11,6,7,8,10,3,12]=>[12,3,10,8,7,6,11,4,9,2,5,1]
[1,9,2,3,4,11,6,7,8,10,5,12]=>[12,5,10,8,7,6,11,4,3,2,9,1]
[12,1,3,11,8,5,4,7,6,10,9,2]=>[2,9,10,6,7,4,5,8,11,3,1,12]
[1,9,2,11,8,5,4,7,6,10,3,12]=>[12,3,10,6,7,4,5,8,11,2,9,1]
[1,11,6,3,8,5,2,7,4,10,9,12]=>[12,9,10,4,7,2,5,8,3,6,11,1]
[1,11,8,3,4,5,2,7,6,10,9,12]=>[12,9,10,6,7,2,5,4,3,8,11,1]
[12,1,3,11,4,5,6,7,8,10,9,2]=>[2,9,10,8,7,6,5,4,11,3,1,12]
[1,9,2,11,4,5,6,7,8,10,3,12]=>[12,3,10,8,7,6,5,4,11,2,9,1]
[1,11,8,3,2,5,6,7,4,10,9,12]=>[12,9,10,4,7,6,5,2,3,8,11,1]
[1,11,2,7,4,3,6,5,8,10,9,12]=>[12,9,10,8,5,6,3,4,7,2,11,1]
[1,11,2,3,4,5,6,7,8,10,9,12]=>[12,9,10,8,7,6,5,4,3,2,11,1]
[4,1,6,3,12,5,7,8,9,10,11,2]=>[2,11,10,9,8,7,5,12,3,6,1,4]
[6,1,2,3,12,5,7,8,9,10,11,4]=>[4,11,10,9,8,7,5,12,3,2,1,6]
[6,1,12,3,4,5,7,8,9,10,11,2]=>[2,11,10,9,8,7,5,4,3,12,1,6]
[12,5,2,1,4,3,7,8,9,10,11,6]=>[6,11,10,9,8,7,3,4,1,2,5,12]
[4,1,12,3,5,11,6,8,9,10,7,2]=>[2,7,10,9,8,6,11,5,3,12,1,4]
[12,1,2,3,5,11,6,8,9,10,7,4]=>[4,7,10,9,8,6,11,5,3,2,1,12]
[12,1,3,7,4,11,6,8,9,10,5,2]=>[2,5,10,9,8,6,11,4,7,3,1,12]
[1,5,2,7,4,11,6,8,9,10,3,12]=>[12,3,10,9,8,6,11,4,7,2,5,1]
[1,7,2,3,4,11,6,8,9,10,5,12]=>[12,5,10,9,8,6,11,4,3,2,7,1]
[12,1,3,11,4,5,6,8,9,10,7,2]=>[2,7,10,9,8,6,5,4,11,3,1,12]
[1,7,2,11,4,5,6,8,9,10,3,12]=>[12,3,10,9,8,6,5,4,11,2,7,1]
[1,11,6,3,2,5,4,8,9,10,7,12]=>[12,7,10,9,8,4,5,2,3,6,11,1]
[1,11,2,3,4,5,6,8,9,10,7,12]=>[12,7,10,9,8,6,5,4,3,2,11,1]
[4,1,12,3,5,6,10,7,9,8,11,2]=>[2,11,8,9,7,10,6,5,3,12,1,4]
[12,1,2,3,5,6,10,7,9,8,11,4]=>[4,11,8,9,7,10,6,5,3,2,1,12]
[12,1,3,11,4,6,10,7,9,8,5,2]=>[2,5,8,9,7,10,6,4,11,3,1,12]
[1,5,2,11,4,6,10,7,9,8,3,12]=>[12,3,8,9,7,10,6,4,11,2,5,1]
[1,11,2,3,4,6,10,7,9,8,5,12]=>[12,5,8,9,7,10,6,4,3,2,11,1]
[12,1,3,4,8,5,10,7,9,6,11,2]=>[2,11,6,9,7,10,5,8,4,3,1,12]
[1,11,2,4,8,5,10,7,9,6,3,12]=>[12,3,6,9,7,10,5,8,4,2,11,1]
[1,2,6,3,8,5,10,7,9,4,11,12]=>[12,11,4,9,7,10,5,8,3,6,2,1]
[1,2,8,3,4,5,10,7,9,6,11,12]=>[12,11,6,9,7,10,5,4,3,8,2,1]
[12,1,3,4,10,5,6,7,9,8,11,2]=>[2,11,8,9,7,6,5,10,4,3,1,12]
[1,11,2,4,10,5,6,7,9,8,3,12]=>[12,3,8,9,7,6,5,10,4,2,11,1]
[1,2,8,3,10,5,6,7,9,4,11,12]=>[12,11,4,9,7,6,5,10,3,8,2,1]
[1,2,10,7,4,3,6,5,9,8,11,12]=>[12,11,8,9,5,6,3,4,7,10,2,1]
[1,2,10,3,4,5,6,7,9,8,11,12]=>[12,11,8,9,7,6,5,4,3,10,2,1]
[4,1,12,3,5,6,7,8,9,10,11,2]=>[2,11,10,9,8,7,6,5,3,12,1,4]
[12,1,2,3,5,6,7,8,9,10,11,4]=>[4,11,10,9,8,7,6,5,3,2,1,12]
[12,1,3,11,4,6,7,8,9,10,5,2]=>[2,5,10,9,8,7,6,4,11,3,1,12]
[1,5,2,11,4,6,7,8,9,10,3,12]=>[12,3,10,9,8,7,6,4,11,2,5,1]
[1,11,2,3,4,6,7,8,9,10,5,12]=>[12,5,10,9,8,7,6,4,3,2,11,1]
[12,1,3,4,10,5,7,8,9,6,11,2]=>[2,11,6,9,8,7,5,10,4,3,1,12]
[1,11,2,4,10,5,7,8,9,6,3,12]=>[12,3,6,9,8,7,5,10,4,2,11,1]
[1,2,6,3,10,5,7,8,9,4,11,12]=>[12,11,4,9,8,7,5,10,3,6,2,1]
[1,2,10,3,4,5,7,8,9,6,11,12]=>[12,11,6,9,8,7,5,4,3,10,2,1]
[12,1,3,4,5,9,6,8,7,10,11,2]=>[2,11,10,7,8,6,9,5,4,3,1,12]
[1,11,2,4,5,9,6,8,7,10,3,12]=>[12,3,10,7,8,6,9,5,4,2,11,1]
[1,2,10,3,5,9,6,8,7,4,11,12]=>[12,11,4,7,8,6,9,5,3,10,2,1]
[1,2,3,7,4,9,6,8,5,10,11,12]=>[12,11,10,5,8,6,9,4,7,3,2,1]
[1,2,3,9,4,5,6,8,7,10,11,12]=>[12,11,10,7,8,6,5,4,9,3,2,1]
[1,11,2,4,5,6,7,8,9,10,3,12]=>[12,3,10,9,8,7,6,5,4,2,11,1]
[1,2,10,3,5,6,7,8,9,4,11,12]=>[12,11,4,9,8,7,6,5,3,10,2,1]
[1,2,3,9,4,6,7,8,5,10,11,12]=>[12,11,10,5,8,7,6,4,9,3,2,1]
[1,2,3,4,8,5,7,6,9,10,11,12]=>[12,11,10,9,6,7,5,8,4,3,2,1]
[12,11,10,6,5,4,3,9,2,8,1,7]=>[7,1,8,2,9,3,4,5,6,10,11,12]
[12,6,11,5,10,4,9,3,8,2,1,7]=>[7,1,2,8,3,9,4,10,5,11,6,12]
[7,6,12,5,11,4,10,3,9,1,2,8]=>[8,2,1,9,3,10,4,11,5,12,6,7]
[12,9,10,7,8,5,6,3,4,1,2,11]=>[11,2,1,4,3,6,5,8,7,10,9,12]
[10,11,12,7,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,7,12,11,10]
[12,7,8,9,10,5,6,3,4,1,2,11]=>[11,2,1,4,3,6,5,10,9,8,7,12]
[10,11,8,9,12,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,12,9,8,11,10]
[8,9,10,11,12,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,12,11,10,9,8]
[12,9,10,5,6,7,8,3,4,1,2,11]=>[11,2,1,4,3,8,7,6,5,10,9,12]
[10,11,12,5,6,7,8,3,4,1,2,9]=>[9,2,1,4,3,8,7,6,5,12,11,10]
[12,5,8,9,6,7,10,3,4,1,2,11]=>[11,2,1,4,3,10,7,6,9,8,5,12]
[10,11,8,9,6,7,12,3,4,1,2,5]=>[5,2,1,4,3,12,7,6,9,8,11,10]
[8,9,10,11,6,7,12,3,4,1,2,5]=>[5,2,1,4,3,12,7,6,11,10,9,8]
[12,5,6,7,8,9,10,3,4,1,2,11]=>[11,2,1,4,3,10,9,8,7,6,5,12]
[10,11,6,7,8,9,12,3,4,1,2,5]=>[5,2,1,4,3,12,9,8,7,6,11,10]
[6,9,10,7,8,11,12,3,4,1,2,5]=>[5,2,1,4,3,12,11,8,7,10,9,6]
[6,7,8,9,10,11,12,3,4,1,2,5]=>[5,2,1,4,3,12,11,10,9,8,7,6]
[12,9,10,7,8,3,4,5,6,1,2,11]=>[11,2,1,6,5,4,3,8,7,10,9,12]
[10,11,12,7,8,3,4,5,6,1,2,9]=>[9,2,1,6,5,4,3,8,7,12,11,10]
[12,7,8,9,10,3,4,5,6,1,2,11]=>[11,2,1,6,5,4,3,10,9,8,7,12]
[10,11,8,9,12,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,12,9,8,11,10]
[8,9,10,11,12,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,12,11,10,9,8]
[12,9,10,3,6,7,4,5,8,1,2,11]=>[11,2,1,8,5,4,7,6,3,10,9,12]
[10,11,12,3,6,7,4,5,8,1,2,9]=>[9,2,1,8,5,4,7,6,3,12,11,10]
[12,3,8,9,6,7,4,5,10,1,2,11]=>[11,2,1,10,5,4,7,6,9,8,3,12]
[10,11,8,9,6,7,4,5,12,1,2,3]=>[3,2,1,12,5,4,7,6,9,8,11,10]
[8,9,10,11,6,7,4,5,12,1,2,3]=>[3,2,1,12,5,4,7,6,11,10,9,8]
[12,3,6,7,8,9,4,5,10,1,2,11]=>[11,2,1,10,5,4,9,8,7,6,3,12]
[10,11,6,7,8,9,4,5,12,1,2,3]=>[3,2,1,12,5,4,9,8,7,6,11,10]
[6,9,10,7,8,11,4,5,12,1,2,3]=>[3,2,1,12,5,4,11,8,7,10,9,6]
[6,7,8,9,10,11,4,5,12,1,2,3]=>[3,2,1,12,5,4,11,10,9,8,7,6]
[12,9,10,3,4,5,6,7,8,1,2,11]=>[11,2,1,8,7,6,5,4,3,10,9,12]
[10,11,12,3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3,12,11,10]
[12,3,8,9,4,5,6,7,10,1,2,11]=>[11,2,1,10,7,6,5,4,9,8,3,12]
[10,11,8,9,4,5,6,7,12,1,2,3]=>[3,2,1,12,7,6,5,4,9,8,11,10]
[8,9,10,11,4,5,6,7,12,1,2,3]=>[3,2,1,12,7,6,5,4,11,10,9,8]
[12,3,4,7,8,5,6,9,10,1,2,11]=>[11,2,1,10,9,6,5,8,7,4,3,12]
[10,11,4,7,8,5,6,9,12,1,2,3]=>[3,2,1,12,9,6,5,8,7,4,11,10]
[4,9,10,7,8,5,6,11,12,1,2,3]=>[3,2,1,12,11,6,5,8,7,10,9,4]
[4,7,8,9,10,5,6,11,12,1,2,3]=>[3,2,1,12,11,6,5,10,9,8,7,4]
[12,3,4,5,6,7,8,9,10,1,2,11]=>[11,2,1,10,9,8,7,6,5,4,3,12]
[10,11,4,5,6,7,8,9,12,1,2,3]=>[3,2,1,12,9,8,7,6,5,4,11,10]
[4,9,10,5,6,7,8,11,12,1,2,3]=>[3,2,1,12,11,8,7,6,5,10,9,4]
[4,5,8,9,6,7,10,11,12,1,2,3]=>[3,2,1,12,11,10,7,6,9,8,5,4]
[4,5,6,7,8,9,10,11,12,1,2,3]=>[3,2,1,12,11,10,9,8,7,6,5,4]
[12,9,10,7,8,5,6,1,2,3,4,11]=>[11,4,3,2,1,6,5,8,7,10,9,12]
[10,11,12,7,8,5,6,1,2,3,4,9]=>[9,4,3,2,1,6,5,8,7,12,11,10]
[12,7,8,9,10,5,6,1,2,3,4,11]=>[11,4,3,2,1,6,5,10,9,8,7,12]
[10,11,8,9,12,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,12,9,8,11,10]
[8,9,10,11,12,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,12,11,10,9,8]
[12,9,10,5,6,7,8,1,2,3,4,11]=>[11,4,3,2,1,8,7,6,5,10,9,12]
[10,11,12,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,12,11,10]
[12,5,8,9,6,7,10,1,2,3,4,11]=>[11,4,3,2,1,10,7,6,9,8,5,12]
[10,11,8,9,6,7,12,1,2,3,4,5]=>[5,4,3,2,1,12,7,6,9,8,11,10]
[8,9,10,11,6,7,12,1,2,3,4,5]=>[5,4,3,2,1,12,7,6,11,10,9,8]
[12,5,6,7,8,9,10,1,2,3,4,11]=>[11,4,3,2,1,10,9,8,7,6,5,12]
[10,11,6,7,8,9,12,1,2,3,4,5]=>[5,4,3,2,1,12,9,8,7,6,11,10]
[6,9,10,7,8,11,12,1,2,3,4,5]=>[5,4,3,2,1,12,11,8,7,10,9,6]
[12,9,10,7,8,1,4,5,2,3,6,11]=>[11,6,3,2,5,4,1,8,7,10,9,12]
[10,11,12,7,8,1,4,5,2,3,6,9]=>[9,6,3,2,5,4,1,8,7,12,11,10]
[12,7,8,9,10,1,4,5,2,3,6,11]=>[11,6,3,2,5,4,1,10,9,8,7,12]
[10,11,8,9,12,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,12,9,8,11,10]
[8,9,10,11,12,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,12,11,10,9,8]
[12,9,10,1,6,7,4,5,2,3,8,11]=>[11,8,3,2,5,4,7,6,1,10,9,12]
[10,11,12,1,6,7,4,5,2,3,8,9]=>[9,8,3,2,5,4,7,6,1,12,11,10]
[12,1,8,9,6,7,4,5,2,3,10,11]=>[11,10,3,2,5,4,7,6,9,8,1,12]
[10,11,8,9,6,7,4,5,2,3,12,1]=>[1,12,3,2,5,4,7,6,9,8,11,10]
[8,9,10,11,6,7,4,5,2,3,12,1]=>[1,12,3,2,5,4,7,6,11,10,9,8]
[12,1,6,7,8,9,4,5,2,3,10,11]=>[11,10,3,2,5,4,9,8,7,6,1,12]
[10,11,6,7,8,9,4,5,2,3,12,1]=>[1,12,3,2,5,4,9,8,7,6,11,10]
[6,9,10,7,8,11,4,5,2,3,12,1]=>[1,12,3,2,5,4,11,8,7,10,9,6]
[6,7,8,9,10,11,4,5,2,3,12,1]=>[1,12,3,2,5,4,11,10,9,8,7,6]
[12,9,10,1,4,5,6,7,2,3,8,11]=>[11,8,3,2,7,6,5,4,1,10,9,12]
[10,11,12,1,4,5,6,7,2,3,8,9]=>[9,8,3,2,7,6,5,4,1,12,11,10]
[12,1,8,9,4,5,6,7,2,3,10,11]=>[11,10,3,2,7,6,5,4,9,8,1,12]
[10,11,8,9,4,5,6,7,2,3,12,1]=>[1,12,3,2,7,6,5,4,9,8,11,10]
[8,9,10,11,4,5,6,7,2,3,12,1]=>[1,12,3,2,7,6,5,4,11,10,9,8]
[12,1,4,7,8,5,6,9,2,3,10,11]=>[11,10,3,2,9,6,5,8,7,4,1,12]
[10,11,4,7,8,5,6,9,2,3,12,1]=>[1,12,3,2,9,6,5,8,7,4,11,10]
[4,9,10,7,8,5,6,11,2,3,12,1]=>[1,12,3,2,11,6,5,8,7,10,9,4]
[4,7,8,9,10,5,6,11,2,3,12,1]=>[1,12,3,2,11,6,5,10,9,8,7,4]
[12,1,4,5,6,7,8,9,2,3,10,11]=>[11,10,3,2,9,8,7,6,5,4,1,12]
[10,11,4,5,6,7,8,9,2,3,12,1]=>[1,12,3,2,9,8,7,6,5,4,11,10]
[4,9,10,5,6,7,8,11,2,3,12,1]=>[1,12,3,2,11,8,7,6,5,10,9,4]
[4,5,8,9,6,7,10,11,2,3,12,1]=>[1,12,3,2,11,10,7,6,9,8,5,4]
[4,5,6,7,8,9,10,11,2,3,12,1]=>[1,12,3,2,11,10,9,8,7,6,5,4]
[12,9,10,7,8,1,2,3,4,5,6,11]=>[11,6,5,4,3,2,1,8,7,10,9,12]
[10,11,12,7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7,12,11,10]
[12,7,8,9,10,1,2,3,4,5,6,11]=>[11,6,5,4,3,2,1,10,9,8,7,12]
[10,11,8,9,12,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,12,9,8,11,10]
[12,9,10,1,6,7,2,3,4,5,8,11]=>[11,8,5,4,3,2,7,6,1,10,9,12]
[10,11,12,1,6,7,2,3,4,5,8,9]=>[9,8,5,4,3,2,7,6,1,12,11,10]
[12,1,8,9,6,7,2,3,4,5,10,11]=>[11,10,5,4,3,2,7,6,9,8,1,12]
[10,11,8,9,6,7,2,3,4,5,12,1]=>[1,12,5,4,3,2,7,6,9,8,11,10]
[8,9,10,11,6,7,2,3,4,5,12,1]=>[1,12,5,4,3,2,7,6,11,10,9,8]
[12,1,6,7,8,9,2,3,4,5,10,11]=>[11,10,5,4,3,2,9,8,7,6,1,12]
[10,11,6,7,8,9,2,3,4,5,12,1]=>[1,12,5,4,3,2,9,8,7,6,11,10]
[6,9,10,7,8,11,2,3,4,5,12,1]=>[1,12,5,4,3,2,11,8,7,10,9,6]
[6,7,8,9,10,11,2,3,4,5,12,1]=>[1,12,5,4,3,2,11,10,9,8,7,6]
[12,9,10,1,2,5,6,3,4,7,8,11]=>[11,8,7,4,3,6,5,2,1,10,9,12]
[10,11,12,1,2,5,6,3,4,7,8,9]=>[9,8,7,4,3,6,5,2,1,12,11,10]
[12,1,8,9,2,5,6,3,4,7,10,11]=>[11,10,7,4,3,6,5,2,9,8,1,12]
[10,11,8,9,2,5,6,3,4,7,12,1]=>[1,12,7,4,3,6,5,2,9,8,11,10]
[8,9,10,11,2,5,6,3,4,7,12,1]=>[1,12,7,4,3,6,5,2,11,10,9,8]
[12,1,2,7,8,5,6,3,4,9,10,11]=>[11,10,9,4,3,6,5,8,7,2,1,12]
[10,11,2,7,8,5,6,3,4,9,12,1]=>[1,12,9,4,3,6,5,8,7,2,11,10]
[2,9,10,7,8,5,6,3,4,11,12,1]=>[1,12,11,4,3,6,5,8,7,10,9,2]
[2,7,8,9,10,5,6,3,4,11,12,1]=>[1,12,11,4,3,6,5,10,9,8,7,2]
[12,1,2,5,6,7,8,3,4,9,10,11]=>[11,10,9,4,3,8,7,6,5,2,1,12]
[10,11,2,5,6,7,8,3,4,9,12,1]=>[1,12,9,4,3,8,7,6,5,2,11,10]
[2,9,10,5,6,7,8,3,4,11,12,1]=>[1,12,11,4,3,8,7,6,5,10,9,2]
[2,5,8,9,6,7,10,3,4,11,12,1]=>[1,12,11,4,3,10,7,6,9,8,5,2]
[2,5,6,7,8,9,10,3,4,11,12,1]=>[1,12,11,4,3,10,9,8,7,6,5,2]
[12,9,10,1,2,3,4,5,6,7,8,11]=>[11,8,7,6,5,4,3,2,1,10,9,12]
[12,1,8,9,2,3,4,5,6,7,10,11]=>[11,10,7,6,5,4,3,2,9,8,1,12]
[10,11,8,9,2,3,4,5,6,7,12,1]=>[1,12,7,6,5,4,3,2,9,8,11,10]
[8,9,10,11,2,3,4,5,6,7,12,1]=>[1,12,7,6,5,4,3,2,11,10,9,8]
[12,1,2,7,8,3,4,5,6,9,10,11]=>[11,10,9,6,5,4,3,8,7,2,1,12]
[10,11,2,7,8,3,4,5,6,9,12,1]=>[1,12,9,6,5,4,3,8,7,2,11,10]
[2,9,10,7,8,3,4,5,6,11,12,1]=>[1,12,11,6,5,4,3,8,7,10,9,2]
[2,7,8,9,10,3,4,5,6,11,12,1]=>[1,12,11,6,5,4,3,10,9,8,7,2]
[12,1,2,3,6,7,4,5,8,9,10,11]=>[11,10,9,8,5,4,7,6,3,2,1,12]
[10,11,2,3,6,7,4,5,8,9,12,1]=>[1,12,9,8,5,4,7,6,3,2,11,10]
[2,9,10,3,6,7,4,5,8,11,12,1]=>[1,12,11,8,5,4,7,6,3,10,9,2]
[2,3,8,9,6,7,4,5,10,11,12,1]=>[1,12,11,10,5,4,7,6,9,8,3,2]
[2,3,6,7,8,9,4,5,10,11,12,1]=>[1,12,11,10,5,4,9,8,7,6,3,2]
[10,11,2,3,4,5,6,7,8,9,12,1]=>[1,12,9,8,7,6,5,4,3,2,11,10]
[2,9,10,3,4,5,6,7,8,11,12,1]=>[1,12,11,8,7,6,5,4,3,10,9,2]
[2,3,8,9,4,5,6,7,10,11,12,1]=>[1,12,11,10,7,6,5,4,9,8,3,2]
[2,3,4,7,8,5,6,9,10,11,12,1]=>[1,12,11,10,9,6,5,8,7,4,3,2]
[11,1,12,2,10,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,10,2,12,1,11]
[12,1,10,2,11,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,11,2,10,1,12]
[11,1,10,2,12,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,12,2,10,1,11]
[10,1,11,2,12,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,12,2,11,1,10]
[12,1,11,2,9,3,10,4,8,5,7,6]=>[6,7,5,8,4,10,3,9,2,11,1,12]
[11,1,12,2,9,3,10,4,8,5,7,6]=>[6,7,5,8,4,10,3,9,2,12,1,11]
[12,1,10,2,9,3,11,4,8,5,7,6]=>[6,7,5,8,4,11,3,9,2,10,1,12]
[11,1,10,2,9,3,12,4,8,5,7,6]=>[6,7,5,8,4,12,3,9,2,10,1,11]
[10,1,11,2,9,3,12,4,8,5,7,6]=>[6,7,5,8,4,12,3,9,2,11,1,10]
[12,1,9,2,10,3,11,4,8,5,7,6]=>[6,7,5,8,4,11,3,10,2,9,1,12]
[11,1,9,2,10,3,12,4,8,5,7,6]=>[6,7,5,8,4,12,3,10,2,9,1,11]
[10,1,9,2,11,3,12,4,8,5,7,6]=>[6,7,5,8,4,12,3,11,2,9,1,10]
[9,1,10,2,11,3,12,4,8,5,7,6]=>[6,7,5,8,4,12,3,11,2,10,1,9]
[12,1,11,2,10,3,8,4,9,5,7,6]=>[6,7,5,9,4,8,3,10,2,11,1,12]
[11,1,12,2,10,3,8,4,9,5,7,6]=>[6,7,5,9,4,8,3,10,2,12,1,11]
[12,1,10,2,11,3,8,4,9,5,7,6]=>[6,7,5,9,4,8,3,11,2,10,1,12]
[11,1,10,2,12,3,8,4,9,5,7,6]=>[6,7,5,9,4,8,3,12,2,10,1,11]
[10,1,11,2,12,3,8,4,9,5,7,6]=>[6,7,5,9,4,8,3,12,2,11,1,10]
[12,1,11,2,9,3,8,4,10,5,7,6]=>[6,7,5,10,4,8,3,9,2,11,1,12]
[11,1,12,2,9,3,8,4,10,5,7,6]=>[6,7,5,10,4,8,3,9,2,12,1,11]
[12,1,10,2,9,3,8,4,11,5,7,6]=>[6,7,5,11,4,8,3,9,2,10,1,12]
[11,1,10,2,9,3,8,4,12,5,7,6]=>[6,7,5,12,4,8,3,9,2,10,1,11]
[10,1,11,2,9,3,8,4,12,5,7,6]=>[6,7,5,12,4,8,3,9,2,11,1,10]
[12,1,9,2,10,3,8,4,11,5,7,6]=>[6,7,5,11,4,8,3,10,2,9,1,12]
[11,1,9,2,10,3,8,4,12,5,7,6]=>[6,7,5,12,4,8,3,10,2,9,1,11]
[10,1,9,2,11,3,8,4,12,5,7,6]=>[6,7,5,12,4,8,3,11,2,9,1,10]
[9,1,10,2,11,3,8,4,12,5,7,6]=>[6,7,5,12,4,8,3,11,2,10,1,9]
[12,1,11,2,8,3,9,4,10,5,7,6]=>[6,7,5,10,4,9,3,8,2,11,1,12]
[11,1,12,2,8,3,9,4,10,5,7,6]=>[6,7,5,10,4,9,3,8,2,12,1,11]
[12,1,10,2,8,3,9,4,11,5,7,6]=>[6,7,5,11,4,9,3,8,2,10,1,12]
[11,1,10,2,8,3,9,4,12,5,7,6]=>[6,7,5,12,4,9,3,8,2,10,1,11]
[10,1,11,2,8,3,9,4,12,5,7,6]=>[6,7,5,12,4,9,3,8,2,11,1,10]
[12,1,9,2,8,3,10,4,11,5,7,6]=>[6,7,5,11,4,10,3,8,2,9,1,12]
[11,1,9,2,8,3,10,4,12,5,7,6]=>[6,7,5,12,4,10,3,8,2,9,1,11]
[10,1,9,2,8,3,11,4,12,5,7,6]=>[6,7,5,12,4,11,3,8,2,9,1,10]
[9,1,10,2,8,3,11,4,12,5,7,6]=>[6,7,5,12,4,11,3,8,2,10,1,9]
[12,1,8,2,9,3,10,4,11,5,7,6]=>[6,7,5,11,4,10,3,9,2,8,1,12]
[11,1,8,2,9,3,10,4,12,5,7,6]=>[6,7,5,12,4,10,3,9,2,8,1,11]
[10,1,8,2,9,3,11,4,12,5,7,6]=>[6,7,5,12,4,11,3,9,2,8,1,10]
[9,1,8,2,10,3,11,4,12,5,7,6]=>[6,7,5,12,4,11,3,10,2,8,1,9]
[8,1,9,2,10,3,11,4,12,5,7,6]=>[6,7,5,12,4,11,3,10,2,9,1,8]
[12,1,11,2,10,3,9,4,7,5,8,6]=>[6,8,5,7,4,9,3,10,2,11,1,12]
[11,1,12,2,10,3,9,4,7,5,8,6]=>[6,8,5,7,4,9,3,10,2,12,1,11]
[12,1,10,2,11,3,9,4,7,5,8,6]=>[6,8,5,7,4,9,3,11,2,10,1,12]
[11,1,10,2,12,3,9,4,7,5,8,6]=>[6,8,5,7,4,9,3,12,2,10,1,11]
[10,1,11,2,12,3,9,4,7,5,8,6]=>[6,8,5,7,4,9,3,12,2,11,1,10]
[12,1,11,2,9,3,10,4,7,5,8,6]=>[6,8,5,7,4,10,3,9,2,11,1,12]
[11,1,12,2,9,3,10,4,7,5,8,6]=>[6,8,5,7,4,10,3,9,2,12,1,11]
[12,1,10,2,9,3,11,4,7,5,8,6]=>[6,8,5,7,4,11,3,9,2,10,1,12]
[11,1,10,2,9,3,12,4,7,5,8,6]=>[6,8,5,7,4,12,3,9,2,10,1,11]
[10,1,11,2,9,3,12,4,7,5,8,6]=>[6,8,5,7,4,12,3,9,2,11,1,10]
[12,1,9,2,10,3,11,4,7,5,8,6]=>[6,8,5,7,4,11,3,10,2,9,1,12]
[11,1,9,2,10,3,12,4,7,5,8,6]=>[6,8,5,7,4,12,3,10,2,9,1,11]
[10,1,9,2,11,3,12,4,7,5,8,6]=>[6,8,5,7,4,12,3,11,2,9,1,10]
[9,1,10,2,11,3,12,4,7,5,8,6]=>[6,8,5,7,4,12,3,11,2,10,1,9]
[12,1,11,2,10,3,8,4,7,5,9,6]=>[6,9,5,7,4,8,3,10,2,11,1,12]
[11,1,12,2,10,3,8,4,7,5,9,6]=>[6,9,5,7,4,8,3,10,2,12,1,11]
[12,1,10,2,11,3,8,4,7,5,9,6]=>[6,9,5,7,4,8,3,11,2,10,1,12]
[11,1,10,2,12,3,8,4,7,5,9,6]=>[6,9,5,7,4,8,3,12,2,10,1,11]
[10,1,11,2,12,3,8,4,7,5,9,6]=>[6,9,5,7,4,8,3,12,2,11,1,10]
[12,1,11,2,9,3,8,4,7,5,10,6]=>[6,10,5,7,4,8,3,9,2,11,1,12]
[11,1,12,2,9,3,8,4,7,5,10,6]=>[6,10,5,7,4,8,3,9,2,12,1,11]
[12,1,10,2,9,3,8,4,7,5,11,6]=>[6,11,5,7,4,8,3,9,2,10,1,12]
[11,1,10,2,9,3,8,4,7,5,12,6]=>[6,12,5,7,4,8,3,9,2,10,1,11]
[10,1,11,2,9,3,8,4,7,5,12,6]=>[6,12,5,7,4,8,3,9,2,11,1,10]
[12,1,9,2,10,3,8,4,7,5,11,6]=>[6,11,5,7,4,8,3,10,2,9,1,12]
[11,1,9,2,10,3,8,4,7,5,12,6]=>[6,12,5,7,4,8,3,10,2,9,1,11]
[10,1,9,2,11,3,8,4,7,5,12,6]=>[6,12,5,7,4,8,3,11,2,9,1,10]
[9,1,10,2,11,3,8,4,7,5,12,6]=>[6,12,5,7,4,8,3,11,2,10,1,9]
[12,1,11,2,8,3,9,4,7,5,10,6]=>[6,10,5,7,4,9,3,8,2,11,1,12]
[11,1,12,2,8,3,9,4,7,5,10,6]=>[6,10,5,7,4,9,3,8,2,12,1,11]
[12,1,10,2,8,3,9,4,7,5,11,6]=>[6,11,5,7,4,9,3,8,2,10,1,12]
[11,1,10,2,8,3,9,4,7,5,12,6]=>[6,12,5,7,4,9,3,8,2,10,1,11]
[10,1,11,2,8,3,9,4,7,5,12,6]=>[6,12,5,7,4,9,3,8,2,11,1,10]
[12,1,9,2,8,3,10,4,7,5,11,6]=>[6,11,5,7,4,10,3,8,2,9,1,12]
[11,1,9,2,8,3,10,4,7,5,12,6]=>[6,12,5,7,4,10,3,8,2,9,1,11]
[10,1,9,2,8,3,11,4,7,5,12,6]=>[6,12,5,7,4,11,3,8,2,9,1,10]
[9,1,10,2,8,3,11,4,7,5,12,6]=>[6,12,5,7,4,11,3,8,2,10,1,9]
[12,1,8,2,9,3,10,4,7,5,11,6]=>[6,11,5,7,4,10,3,9,2,8,1,12]
[11,1,8,2,9,3,10,4,7,5,12,6]=>[6,12,5,7,4,10,3,9,2,8,1,11]
[10,1,8,2,9,3,11,4,7,5,12,6]=>[6,12,5,7,4,11,3,9,2,8,1,10]
[9,1,8,2,10,3,11,4,7,5,12,6]=>[6,12,5,7,4,11,3,10,2,8,1,9]
[8,1,9,2,10,3,11,4,7,5,12,6]=>[6,12,5,7,4,11,3,10,2,9,1,8]
[12,1,11,2,10,3,7,4,8,5,9,6]=>[6,9,5,8,4,7,3,10,2,11,1,12]
[11,1,12,2,10,3,7,4,8,5,9,6]=>[6,9,5,8,4,7,3,10,2,12,1,11]
[12,1,10,2,11,3,7,4,8,5,9,6]=>[6,9,5,8,4,7,3,11,2,10,1,12]
[11,1,10,2,12,3,7,4,8,5,9,6]=>[6,9,5,8,4,7,3,12,2,10,1,11]
[10,1,11,2,12,3,7,4,8,5,9,6]=>[6,9,5,8,4,7,3,12,2,11,1,10]
[12,1,11,2,9,3,7,4,8,5,10,6]=>[6,10,5,8,4,7,3,9,2,11,1,12]
[11,1,12,2,9,3,7,4,8,5,10,6]=>[6,10,5,8,4,7,3,9,2,12,1,11]
[12,1,10,2,9,3,7,4,8,5,11,6]=>[6,11,5,8,4,7,3,9,2,10,1,12]
[11,1,10,2,9,3,7,4,8,5,12,6]=>[6,12,5,8,4,7,3,9,2,10,1,11]
[10,1,11,2,9,3,7,4,8,5,12,6]=>[6,12,5,8,4,7,3,9,2,11,1,10]
[12,1,9,2,10,3,7,4,8,5,11,6]=>[6,11,5,8,4,7,3,10,2,9,1,12]
[11,1,9,2,10,3,7,4,8,5,12,6]=>[6,12,5,8,4,7,3,10,2,9,1,11]
[10,1,9,2,11,3,7,4,8,5,12,6]=>[6,12,5,8,4,7,3,11,2,9,1,10]
[9,1,10,2,11,3,7,4,8,5,12,6]=>[6,12,5,8,4,7,3,11,2,10,1,9]
[12,1,11,2,8,3,7,4,9,5,10,6]=>[6,10,5,9,4,7,3,8,2,11,1,12]
[11,1,12,2,8,3,7,4,9,5,10,6]=>[6,10,5,9,4,7,3,8,2,12,1,11]
[12,1,10,2,8,3,7,4,9,5,11,6]=>[6,11,5,9,4,7,3,8,2,10,1,12]
[11,1,10,2,8,3,7,4,9,5,12,6]=>[6,12,5,9,4,7,3,8,2,10,1,11]
[10,1,11,2,8,3,7,4,9,5,12,6]=>[6,12,5,9,4,7,3,8,2,11,1,10]
[12,1,9,2,8,3,7,4,10,5,11,6]=>[6,11,5,10,4,7,3,8,2,9,1,12]
[11,1,9,2,8,3,7,4,10,5,12,6]=>[6,12,5,10,4,7,3,8,2,9,1,11]
[10,1,9,2,8,3,7,4,11,5,12,6]=>[6,12,5,11,4,7,3,8,2,9,1,10]
[9,1,10,2,8,3,7,4,11,5,12,6]=>[6,12,5,11,4,7,3,8,2,10,1,9]
[12,1,8,2,9,3,7,4,10,5,11,6]=>[6,11,5,10,4,7,3,9,2,8,1,12]
[11,1,8,2,9,3,7,4,10,5,12,6]=>[6,12,5,10,4,7,3,9,2,8,1,11]
[10,1,8,2,9,3,7,4,11,5,12,6]=>[6,12,5,11,4,7,3,9,2,8,1,10]
[9,1,8,2,10,3,7,4,11,5,12,6]=>[6,12,5,11,4,7,3,10,2,8,1,9]
[8,1,9,2,10,3,7,4,11,5,12,6]=>[6,12,5,11,4,7,3,10,2,9,1,8]
[12,1,11,2,7,3,8,4,9,5,10,6]=>[6,10,5,9,4,8,3,7,2,11,1,12]
[11,1,12,2,7,3,8,4,9,5,10,6]=>[6,10,5,9,4,8,3,7,2,12,1,11]
[12,1,10,2,7,3,8,4,9,5,11,6]=>[6,11,5,9,4,8,3,7,2,10,1,12]
[11,1,10,2,7,3,8,4,9,5,12,6]=>[6,12,5,9,4,8,3,7,2,10,1,11]
[10,1,11,2,7,3,8,4,9,5,12,6]=>[6,12,5,9,4,8,3,7,2,11,1,10]
[12,1,9,2,7,3,8,4,10,5,11,6]=>[6,11,5,10,4,8,3,7,2,9,1,12]
[11,1,9,2,7,3,8,4,10,5,12,6]=>[6,12,5,10,4,8,3,7,2,9,1,11]
[10,1,9,2,7,3,8,4,11,5,12,6]=>[6,12,5,11,4,8,3,7,2,9,1,10]
[9,1,10,2,7,3,8,4,11,5,12,6]=>[6,12,5,11,4,8,3,7,2,10,1,9]
[12,1,8,2,7,3,9,4,10,5,11,6]=>[6,11,5,10,4,9,3,7,2,8,1,12]
[11,1,8,2,7,3,9,4,10,5,12,6]=>[6,12,5,10,4,9,3,7,2,8,1,11]
[10,1,8,2,7,3,9,4,11,5,12,6]=>[6,12,5,11,4,9,3,7,2,8,1,10]
[9,1,8,2,7,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,7,2,8,1,9]
[8,1,9,2,7,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,7,2,9,1,8]
[12,1,7,2,8,3,9,4,10,5,11,6]=>[6,11,5,10,4,9,3,8,2,7,1,12]
[11,1,7,2,8,3,9,4,10,5,12,6]=>[6,12,5,10,4,9,3,8,2,7,1,11]
[10,1,7,2,8,3,9,4,11,5,12,6]=>[6,12,5,11,4,9,3,8,2,7,1,10]
[9,1,7,2,8,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,8,2,7,1,9]
[8,1,7,2,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,2,7,1,8]
[7,5,8,6,9,3,10,4,11,1,12,2]=>[2,12,1,11,4,10,3,9,6,8,5,7]
[7,5,8,6,11,1,9,3,12,2,10,4]=>[4,10,2,12,3,9,1,11,6,8,5,7]
[9,3,7,5,10,4,8,6,11,1,12,2]=>[2,12,1,11,6,8,4,10,5,7,3,9]
[11,1,7,5,9,3,12,2,10,4,8,6]=>[6,8,4,10,2,12,3,9,5,7,1,11]
[9,3,10,4,11,1,7,5,12,2,8,6]=>[6,8,2,12,5,7,1,11,4,10,3,9]
[5,6,7,8,9,3,10,4,11,1,12,2]=>[2,12,1,11,4,10,3,9,8,7,6,5]
[5,6,7,8,11,1,9,3,12,2,10,4]=>[4,10,2,12,3,9,1,11,8,7,6,5]
[6,7,9,3,5,10,4,8,11,1,12,2]=>[2,12,1,11,8,4,10,5,3,9,7,6]
[6,7,11,1,5,9,3,12,2,10,4,8]=>[8,4,10,2,12,3,9,5,1,11,7,6]
[6,7,9,3,10,4,11,1,5,12,2,8]=>[8,2,12,5,1,11,4,10,3,9,7,6]
[9,3,5,7,10,4,6,8,11,1,12,2]=>[2,12,1,11,8,6,4,10,7,5,3,9]
[11,1,5,7,9,3,12,2,10,4,6,8]=>[8,6,4,10,2,12,3,9,7,5,1,11]
[9,3,10,4,11,1,5,7,12,2,6,8]=>[8,6,2,12,7,5,1,11,4,10,3,9]
[11,1,5,9,3,7,12,2,6,10,4,8]=>[8,4,10,6,2,12,7,3,9,5,1,11]
[9,5,7,3,10,6,8,4,11,1,12,2]=>[2,12,1,11,4,8,6,10,3,7,5,9]
[11,1,9,5,7,3,12,2,10,6,8,4]=>[4,8,6,10,2,12,3,7,5,9,1,11]
[7,3,8,4,9,5,10,6,11,1,12,2]=>[2,12,1,11,6,10,5,9,4,8,3,7]
[8,4,9,5,11,1,7,3,12,2,10,6]=>[6,10,2,12,3,7,1,11,5,9,4,8]
[11,1,7,3,9,5,12,2,8,4,10,6]=>[6,10,4,8,2,12,5,9,3,7,1,11]
[6,7,9,5,3,10,8,4,11,1,12,2]=>[2,12,1,11,4,8,10,3,5,9,7,6]
[6,7,11,1,9,5,3,12,2,10,8,4]=>[4,8,10,2,12,3,5,9,1,11,7,6]
[3,6,7,8,4,9,5,10,11,1,12,2]=>[2,12,1,11,10,5,9,4,8,7,6,3]
[6,7,8,4,9,5,11,1,3,12,2,10]=>[10,2,12,3,1,11,5,9,4,8,7,6]
[6,7,11,1,3,9,5,12,2,8,4,10]=>[10,4,8,2,12,5,9,3,1,11,7,6]
[3,8,4,6,9,5,7,10,11,1,12,2]=>[2,12,1,11,10,7,5,9,6,4,8,3]
[8,4,6,9,5,7,11,1,3,12,2,10]=>[10,2,12,3,1,11,7,5,9,6,4,8]
[11,1,3,9,5,7,12,2,6,8,4,10]=>[10,4,8,6,2,12,7,5,9,3,1,11]
[8,4,9,5,11,1,3,7,12,2,6,10]=>[10,6,2,12,7,3,1,11,5,9,4,8]
[9,7,5,3,10,8,6,4,11,1,12,2]=>[2,12,1,11,4,6,8,10,3,5,7,9]
[11,1,9,7,5,3,12,2,10,8,6,4]=>[4,6,8,10,2,12,3,5,7,9,1,11]
[3,8,6,4,9,7,5,10,11,1,12,2]=>[2,12,1,11,10,5,7,9,4,6,8,3]
[8,6,4,9,7,5,11,1,3,12,2,10]=>[10,2,12,3,1,11,5,7,9,4,6,8]
[11,1,3,9,7,5,12,2,8,6,4,10]=>[10,4,6,8,2,12,5,7,9,3,1,11]
[3,4,7,5,8,6,9,10,11,1,12,2]=>[2,12,1,11,10,9,6,8,5,7,4,3]
[4,7,5,8,6,9,11,1,3,12,2,10]=>[10,2,12,3,1,11,9,6,8,5,7,4]
[7,5,8,6,11,1,3,9,12,2,4,10]=>[10,4,2,12,9,3,1,11,6,8,5,7]
[11,1,3,7,5,9,12,2,4,8,6,10]=>[10,6,8,4,2,12,9,5,7,3,1,11]
[4,5,6,7,8,9,11,1,3,12,2,10]=>[10,2,12,3,1,11,9,8,7,6,5,4]
[5,6,7,8,11,1,3,9,12,2,4,10]=>[10,4,2,12,9,3,1,11,8,7,6,5]
[6,7,11,1,3,5,9,12,2,4,8,10]=>[10,8,4,2,12,9,5,3,1,11,7,6]
[11,1,3,5,7,9,12,2,4,6,8,10]=>[10,8,6,4,2,12,9,7,5,3,1,11]
[7,5,8,6,11,3,9,1,12,4,10,2]=>[2,10,4,12,1,9,3,11,6,8,5,7]
[7,5,8,6,9,1,10,2,11,3,12,4]=>[4,12,3,11,2,10,1,9,6,8,5,7]
[11,3,7,5,9,1,12,4,8,6,10,2]=>[2,10,6,8,4,12,1,9,5,7,3,11]
[9,1,7,5,10,2,11,3,12,4,8,6]=>[6,8,4,12,3,11,2,10,5,7,1,9]
[11,3,9,1,7,5,12,4,10,2,8,6]=>[6,8,2,10,4,12,5,7,1,9,3,11]
[5,6,7,8,11,3,9,1,12,4,10,2]=>[2,10,4,12,1,9,3,11,8,7,6,5]
[6,7,11,3,5,9,1,12,4,8,10,2]=>[2,10,8,4,12,1,9,5,3,11,7,6]
[6,7,9,1,5,10,2,11,3,12,4,8]=>[8,4,12,3,11,2,10,5,1,9,7,6]
[6,7,11,3,9,1,5,12,4,10,2,8]=>[8,2,10,4,12,5,1,9,3,11,7,6]
[11,3,5,7,9,1,12,4,6,8,10,2]=>[2,10,8,6,4,12,1,9,7,5,3,11]
[9,1,5,7,10,2,11,3,12,4,6,8]=>[8,6,4,12,3,11,2,10,7,5,1,9]
[11,3,9,1,5,7,12,4,10,2,6,8]=>[8,6,2,10,4,12,7,5,1,9,3,11]
[9,1,5,10,2,6,11,3,7,12,4,8]=>[8,4,12,7,3,11,6,2,10,5,1,9]
[11,3,9,5,7,1,12,6,8,4,10,2]=>[2,10,4,8,6,12,1,7,5,9,3,11]
[9,5,7,1,10,2,11,3,12,6,8,4]=>[4,8,6,12,3,11,2,10,1,7,5,9]
[8,4,9,5,11,3,7,1,12,6,10,2]=>[2,10,6,12,1,7,3,11,5,9,4,8]
[7,1,8,4,9,5,10,2,11,3,12,6]=>[6,12,3,11,2,10,5,9,4,8,1,7]
[7,1,10,2,8,4,11,3,9,5,12,6]=>[6,12,5,9,3,11,4,8,2,10,1,7]
[6,7,11,3,9,5,1,12,8,4,10,2]=>[2,10,4,8,12,1,5,9,3,11,7,6]
[6,7,9,5,1,10,2,11,3,12,8,4]=>[4,8,12,3,11,2,10,1,5,9,7,6]
[6,7,8,4,9,5,11,3,1,12,10,2]=>[2,10,12,1,3,11,5,9,4,8,7,6]
[1,6,7,8,4,9,5,10,2,11,3,12]=>[12,3,11,2,10,5,9,4,8,7,6,1]
[1,6,7,10,2,8,4,11,3,9,5,12]=>[12,5,9,3,11,4,8,2,10,7,6,1]
[8,4,6,9,5,7,11,3,1,12,10,2]=>[2,10,12,1,3,11,7,5,9,6,4,8]
[1,8,4,6,9,5,7,10,2,11,3,12]=>[12,3,11,2,10,7,5,9,6,4,8,1]
[1,10,2,6,8,4,11,3,9,5,7,12]=>[12,7,5,9,3,11,4,8,6,2,10,1]
[1,8,4,9,5,10,2,6,11,3,7,12]=>[12,7,3,11,6,2,10,5,9,4,8,1]
[11,3,9,7,5,1,12,8,6,4,10,2]=>[2,10,4,6,8,12,1,5,7,9,3,11]
[9,7,5,1,10,2,11,3,12,8,6,4]=>[4,6,8,12,3,11,2,10,1,5,7,9]
[8,6,4,9,7,5,11,3,1,12,10,2]=>[2,10,12,1,3,11,5,7,9,4,6,8]
[1,8,6,4,9,7,5,10,2,11,3,12]=>[12,3,11,2,10,5,7,9,4,6,8,1]
[1,10,2,8,6,4,11,3,9,7,5,12]=>[12,5,7,9,3,11,4,6,8,2,10,1]
[4,7,5,8,6,9,11,3,1,12,10,2]=>[2,10,12,1,3,11,9,6,8,5,7,4]
[1,4,7,5,8,6,9,10,2,11,3,12]=>[12,3,11,2,10,9,6,8,5,7,4,1]
[1,7,5,8,6,10,2,4,11,3,9,12]=>[12,9,3,11,4,2,10,6,8,5,7,1]
[1,10,2,4,8,6,11,3,7,5,9,12]=>[12,9,5,7,3,11,6,8,4,2,10,1]
[4,5,6,7,8,9,11,3,1,12,10,2]=>[2,10,12,1,3,11,9,8,7,6,5,4]
[1,4,5,6,7,8,9,10,2,11,3,12]=>[12,3,11,2,10,9,8,7,6,5,4,1]
[1,5,6,7,8,10,2,4,11,3,9,12]=>[12,9,3,11,4,2,10,8,7,6,5,1]
[1,6,7,10,2,4,8,11,3,5,9,12]=>[12,9,5,3,11,8,4,2,10,7,6,1]
[1,10,2,4,6,8,11,3,5,7,9,12]=>[12,9,7,5,3,11,8,6,4,2,10,1]
[9,3,10,4,11,5,7,1,12,6,8,2]=>[2,8,6,12,1,7,5,11,4,10,3,9]
[11,5,7,1,9,3,12,6,8,2,10,4]=>[4,10,2,8,6,12,3,9,1,7,5,11]
[11,5,9,3,7,1,12,6,10,4,8,2]=>[2,8,4,10,6,12,1,7,3,9,5,11]
[7,1,10,4,8,2,11,5,9,3,12,6]=>[6,12,3,9,5,11,2,8,4,10,1,7]
[6,7,9,3,10,4,11,5,1,12,8,2]=>[2,8,12,1,5,11,4,10,3,9,7,6]
[6,7,11,5,1,9,3,12,8,2,10,4]=>[4,10,2,8,12,3,9,1,5,11,7,6]
[6,7,11,5,9,3,1,12,10,4,8,2]=>[2,8,4,10,12,1,3,9,5,11,7,6]
[1,6,7,10,4,8,2,11,5,9,3,12]=>[12,3,9,5,11,2,8,4,10,7,6,1]
[1,6,7,8,2,9,3,10,4,11,5,12]=>[12,5,11,4,10,3,9,2,8,7,6,1]
[11,5,7,9,3,1,12,10,4,6,8,2]=>[2,8,6,4,10,12,1,3,9,7,5,11]
[1,10,4,6,8,2,11,5,7,9,3,12]=>[12,3,9,7,5,11,2,8,6,4,10,1]
[1,8,2,6,9,3,10,4,11,5,7,12]=>[12,7,5,11,4,10,3,9,6,2,8,1]
[1,10,4,8,2,6,11,5,9,3,7,12]=>[12,7,3,9,5,11,6,2,8,4,10,1]
[11,7,5,1,9,3,12,8,6,2,10,4]=>[4,10,2,6,8,12,3,9,1,5,7,11]
[11,7,5,9,3,1,12,10,4,8,6,2]=>[2,6,8,4,10,12,1,3,9,5,7,11]
[1,10,4,8,6,2,11,7,5,9,3,12]=>[12,3,9,5,7,11,2,6,8,4,10,1]
[1,8,6,2,9,3,10,4,11,7,5,12]=>[12,5,7,11,4,10,3,9,2,6,8,1]
[7,5,8,6,11,9,3,1,12,10,4,2]=>[2,4,10,12,1,3,9,11,6,8,5,7]
[1,7,5,8,6,10,4,2,11,9,3,12]=>[12,3,9,11,2,4,10,6,8,5,7,1]
[1,2,7,5,8,6,9,3,10,4,11,12]=>[12,11,4,10,3,9,6,8,5,7,2,1]
[1,2,9,3,7,5,10,4,8,6,11,12]=>[12,11,6,8,4,10,5,7,3,9,2,1]
[1,5,6,7,8,10,4,2,11,9,3,12]=>[12,3,9,11,2,4,10,8,7,6,5,1]
[1,2,5,6,7,8,9,3,10,4,11,12]=>[12,11,4,10,3,9,8,7,6,5,2,1]
[1,2,6,7,9,3,5,10,4,8,11,12]=>[12,11,8,4,10,5,3,9,7,6,2,1]
[1,2,9,3,5,7,10,4,6,8,11,12]=>[12,11,8,6,4,10,7,5,3,9,2,1]
[11,7,3,9,5,1,12,8,4,10,6,2]=>[2,6,10,4,8,12,1,5,9,3,7,11]
[8,4,9,5,11,7,3,1,12,10,6,2]=>[2,6,10,12,1,3,7,11,5,9,4,8]
[1,8,4,9,5,10,6,2,11,7,3,12]=>[12,3,7,11,2,6,10,5,9,4,8,1]
[1,10,6,2,8,4,11,7,3,9,5,12]=>[12,5,9,3,7,11,4,8,2,6,10,1]
[11,9,5,7,3,1,12,10,6,8,4,2]=>[2,4,8,6,10,12,1,3,7,5,9,11]
[1,10,6,8,4,2,11,9,5,7,3,12]=>[12,3,7,5,9,11,2,4,8,6,10,1]
[1,2,9,5,7,3,10,6,8,4,11,12]=>[12,11,4,8,6,10,3,7,5,9,2,1]
[1,2,7,3,8,4,9,5,10,6,11,12]=>[12,11,6,10,5,9,4,8,3,7,2,1]
[6,7,11,9,5,3,1,12,10,8,4,2]=>[2,4,8,10,12,1,3,5,9,11,7,6]
[1,6,7,10,8,4,2,11,9,5,3,12]=>[12,3,5,9,11,2,4,8,10,7,6,1]
[1,2,6,7,9,5,3,10,8,4,11,12]=>[12,11,4,8,10,3,5,9,7,6,2,1]
[1,2,3,6,7,8,4,9,5,10,11,12]=>[12,11,10,5,9,4,8,7,6,3,2,1]
[1,2,3,8,4,6,9,5,7,10,11,12]=>[12,11,10,7,5,9,6,4,8,3,2,1]
[1,10,8,6,4,2,11,9,7,5,3,12]=>[12,3,5,7,9,11,2,4,6,8,10,1]
[1,2,9,7,5,3,10,8,6,4,11,12]=>[12,11,4,6,8,10,3,5,7,9,2,1]
[1,2,3,8,6,4,9,7,5,10,11,12]=>[12,11,10,5,7,9,4,6,8,3,2,1]
[1,2,3,4,7,5,8,6,9,10,11,12]=>[12,11,10,9,6,8,5,7,4,3,2,1]
[1,11,10,9,8,7,6,5,4,3,2,12]=>[12,2,3,4,5,6,7,8,9,10,11,1]
[8,1,7,9,10,11,12,2,3,4,5,6]=>[6,5,4,3,2,12,11,10,9,7,1,8]
[7,2,8,9,10,11,12,1,3,4,6,5]=>[5,6,4,3,1,12,11,10,9,8,2,7]
[2,1,11,3,4,12,5,10,6,9,7,8]=>[8,7,9,6,10,5,12,4,3,11,1,2]
[1,12,3,2,10,4,5,11,6,9,7,8]=>[8,7,9,6,11,5,4,10,2,3,12,1]
[3,1,11,2,10,4,5,12,6,9,7,8]=>[8,7,9,6,12,5,4,10,2,11,1,3]
[2,1,3,4,11,5,6,12,7,10,8,9]=>[9,8,10,7,12,6,5,11,4,3,1,2]
[2,1,11,3,4,5,6,12,7,10,8,9]=>[9,8,10,7,12,6,5,4,3,11,1,2]
[2,3,1,10,4,5,6,12,7,11,8,9]=>[9,8,11,7,12,6,5,4,10,1,3,2]
[2,1,11,3,4,12,5,6,7,10,8,9]=>[9,8,10,7,6,5,12,4,3,11,1,2]
[1,12,2,11,4,3,9,5,6,10,7,8]=>[8,7,10,6,5,9,3,4,11,2,12,1]
[1,2,3,12,5,4,10,6,7,11,8,9]=>[9,8,11,7,6,10,4,5,12,3,2,1]
[1,12,4,2,10,3,9,5,6,11,7,8]=>[8,7,11,6,5,9,3,10,2,4,12,1]
[4,1,11,2,10,3,9,5,6,12,7,8]=>[8,7,12,6,5,9,3,10,2,11,1,4]
[3,1,2,4,11,5,10,6,7,12,8,9]=>[9,8,12,7,6,10,5,11,4,2,1,3]
[1,12,3,2,4,5,10,6,7,11,8,9]=>[9,8,11,7,6,10,5,4,2,3,12,1]
[3,1,11,2,4,5,10,6,7,12,8,9]=>[9,8,12,7,6,10,5,4,2,11,1,3]
[3,2,1,10,4,5,11,6,7,12,8,9]=>[9,8,12,7,6,11,5,4,10,1,2,3]
[2,1,3,4,5,6,11,7,8,12,9,10]=>[10,9,12,8,7,11,6,5,4,3,1,2]
[1,12,3,2,10,4,5,6,7,11,8,9]=>[9,8,11,7,6,5,4,10,2,3,12,1]
[3,1,11,2,10,4,5,6,7,12,8,9]=>[9,8,12,7,6,5,4,10,2,11,1,3]
[2,1,3,4,11,5,6,7,8,12,9,10]=>[10,9,12,8,7,6,5,11,4,3,1,2]
[1,12,3,4,2,9,5,6,7,11,8,10]=>[10,8,11,7,6,5,9,2,4,3,12,1]
[3,1,11,4,2,9,5,6,7,12,8,10]=>[10,8,12,7,6,5,9,2,4,11,1,3]
[3,4,1,10,2,9,5,6,7,12,8,11]=>[11,8,12,7,6,5,9,2,10,1,4,3]
[2,3,1,4,5,10,6,7,8,12,9,11]=>[11,9,12,8,7,6,10,5,4,1,3,2]
[2,1,11,3,4,5,6,7,8,12,9,10]=>[10,9,12,8,7,6,5,4,3,11,1,2]
[2,3,1,10,4,5,6,7,8,12,9,11]=>[11,9,12,8,7,6,5,4,10,1,3,2]
[2,3,4,1,9,5,6,7,8,12,10,11]=>[11,10,12,8,7,6,5,9,1,4,3,2]
[2,1,11,3,4,12,5,10,6,7,8,9]=>[9,8,7,6,10,5,12,4,3,11,1,2]
[1,12,3,2,10,4,5,11,6,7,8,9]=>[9,8,7,6,11,5,4,10,2,3,12,1]
[3,1,11,2,10,4,5,12,6,7,8,9]=>[9,8,7,6,12,5,4,10,2,11,1,3]
[2,1,3,4,11,5,6,12,7,8,9,10]=>[10,9,8,7,12,6,5,11,4,3,1,2]
[2,1,11,3,4,5,6,12,7,8,9,10]=>[10,9,8,7,12,6,5,4,3,11,1,2]
[2,3,1,10,4,5,6,12,7,8,9,11]=>[11,9,8,7,12,6,5,4,10,1,3,2]
[1,12,2,11,3,10,5,4,8,6,7,9]=>[9,7,6,8,4,5,10,3,11,2,12,1]
[1,2,3,12,4,11,6,5,9,7,8,10]=>[10,8,7,9,5,6,11,4,12,3,2,1]
[1,12,2,3,4,11,6,5,9,7,8,10]=>[10,8,7,9,5,6,11,4,3,2,12,1]
[2,1,11,3,4,12,6,5,9,7,8,10]=>[10,8,7,9,5,6,12,4,3,11,1,2]
[1,2,3,4,5,12,7,6,10,8,9,11]=>[11,9,8,10,6,7,12,5,4,3,2,1]
[1,12,2,11,5,3,9,4,8,6,7,10]=>[10,7,6,8,4,9,3,5,11,2,12,1]
[1,2,3,12,6,4,10,5,9,7,8,11]=>[11,8,7,9,5,10,4,6,12,3,2,1]
[1,12,5,2,10,3,9,4,8,6,7,11]=>[11,7,6,8,4,9,3,10,2,5,12,1]
[5,1,11,2,10,3,9,4,8,6,7,12]=>[12,7,6,8,4,9,3,10,2,11,1,5]
[4,1,2,3,11,5,10,6,9,7,8,12]=>[12,8,7,9,6,10,5,11,3,2,1,4]
[1,12,4,2,3,5,10,6,9,7,8,11]=>[11,8,7,9,6,10,5,3,2,4,12,1]
[4,1,11,2,3,5,10,6,9,7,8,12]=>[12,8,7,9,6,10,5,3,2,11,1,4]
[4,2,1,10,3,5,11,6,9,7,8,12]=>[12,8,7,9,6,11,5,3,10,1,2,4]
[3,1,2,4,5,6,11,7,10,8,9,12]=>[12,9,8,10,7,11,6,5,4,2,1,3]
[1,12,2,11,4,3,5,6,9,7,8,10]=>[10,8,7,9,6,5,3,4,11,2,12,1]
[1,2,3,12,5,4,6,7,10,8,9,11]=>[11,9,8,10,7,6,4,5,12,3,2,1]
[1,12,4,2,10,3,5,6,9,7,8,11]=>[11,8,7,9,6,5,3,10,2,4,12,1]
[4,1,11,2,10,3,5,6,9,7,8,12]=>[12,8,7,9,6,5,3,10,2,11,1,4]
[3,1,2,4,11,5,6,7,10,8,9,12]=>[12,9,8,10,7,6,5,11,4,2,1,3]
[1,12,4,3,2,9,5,6,10,7,8,11]=>[11,8,7,10,6,5,9,2,3,4,12,1]
[4,1,11,3,2,9,5,6,10,7,8,12]=>[12,8,7,10,6,5,9,2,3,11,1,4]
[4,3,1,10,2,9,5,6,11,7,8,12]=>[12,8,7,11,6,5,9,2,10,1,3,4]
[3,2,1,4,5,10,6,7,11,8,9,12]=>[12,9,8,11,7,6,10,5,4,1,2,3]
[1,12,3,2,4,5,6,7,10,8,9,11]=>[11,9,8,10,7,6,5,4,2,3,12,1]
[3,1,11,2,4,5,6,7,10,8,9,12]=>[12,9,8,10,7,6,5,4,2,11,1,3]
[3,2,1,10,4,5,6,7,11,8,9,12]=>[12,9,8,11,7,6,5,4,10,1,2,3]
[3,2,4,1,9,5,6,7,11,8,10,12]=>[12,10,8,11,7,6,5,9,1,4,2,3]
[2,1,3,4,5,6,7,8,11,9,10,12]=>[12,10,9,11,8,7,6,5,4,3,1,2]
[2,1,11,3,4,12,5,6,7,8,9,10]=>[10,9,8,7,6,5,12,4,3,11,1,2]
[1,12,2,11,4,3,9,5,6,7,8,10]=>[10,8,7,6,5,9,3,4,11,2,12,1]
[1,2,3,12,5,4,10,6,7,8,9,11]=>[11,9,8,7,6,10,4,5,12,3,2,1]
[1,12,4,2,10,3,9,5,6,7,8,11]=>[11,8,7,6,5,9,3,10,2,4,12,1]
[4,1,11,2,10,3,9,5,6,7,8,12]=>[12,8,7,6,5,9,3,10,2,11,1,4]
[3,1,2,4,11,5,10,6,7,8,9,12]=>[12,9,8,7,6,10,5,11,4,2,1,3]
[1,12,3,2,4,5,10,6,7,8,9,11]=>[11,9,8,7,6,10,5,4,2,3,12,1]
[3,1,11,2,4,5,10,6,7,8,9,12]=>[12,9,8,7,6,10,5,4,2,11,1,3]
[3,2,1,10,4,5,11,6,7,8,9,12]=>[12,9,8,7,6,11,5,4,10,1,2,3]
[2,1,3,4,5,6,11,7,8,9,10,12]=>[12,10,9,8,7,11,6,5,4,3,1,2]
[1,12,2,11,4,5,3,8,6,7,9,10]=>[10,9,7,6,8,3,5,4,11,2,12,1]
[1,2,3,12,5,6,4,9,7,8,10,11]=>[11,10,8,7,9,4,6,5,12,3,2,1]
[1,12,4,2,10,5,3,8,6,7,9,11]=>[11,9,7,6,8,3,5,10,2,4,12,1]
[4,1,11,2,10,5,3,8,6,7,9,12]=>[12,9,7,6,8,3,5,10,2,11,1,4]
[3,1,2,4,11,6,5,9,7,8,10,12]=>[12,10,8,7,9,5,6,11,4,2,1,3]
[1,12,4,5,2,9,3,8,6,7,10,11]=>[11,10,7,6,8,3,9,2,5,4,12,1]
[4,1,11,5,2,9,3,8,6,7,10,12]=>[12,10,7,6,8,3,9,2,5,11,1,4]
[4,5,1,10,2,9,3,8,6,7,11,12]=>[12,11,7,6,8,3,9,2,10,1,5,4]
[3,4,1,2,5,10,6,9,7,8,11,12]=>[12,11,8,7,9,6,10,5,2,1,4,3]
[1,12,3,4,2,5,6,9,7,8,10,11]=>[11,10,8,7,9,6,5,2,4,3,12,1]
[3,1,11,4,2,5,6,9,7,8,10,12]=>[12,10,8,7,9,6,5,2,4,11,1,3]
[3,4,1,10,2,5,6,9,7,8,11,12]=>[12,11,8,7,9,6,5,2,10,1,4,3]
[3,4,2,1,9,5,6,10,7,8,11,12]=>[12,11,8,7,10,6,5,9,1,2,4,3]
[2,3,1,4,5,6,7,10,8,9,11,12]=>[12,11,9,8,10,7,6,5,4,1,3,2]
[1,12,3,2,10,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,10,2,3,12,1]
[3,1,11,2,10,4,5,6,7,8,9,12]=>[12,9,8,7,6,5,4,10,2,11,1,3]
[2,1,3,4,11,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,11,4,3,1,2]
[1,12,3,4,2,9,5,6,7,8,10,11]=>[11,10,8,7,6,5,9,2,4,3,12,1]
[3,1,11,4,2,9,5,6,7,8,10,12]=>[12,10,8,7,6,5,9,2,4,11,1,3]
[3,4,1,10,2,9,5,6,7,8,11,12]=>[12,11,8,7,6,5,9,2,10,1,4,3]
[2,3,1,4,5,10,6,7,8,9,11,12]=>[12,11,9,8,7,6,10,5,4,1,3,2]
[1,12,3,4,5,2,8,6,7,9,10,11]=>[11,10,9,7,6,8,2,5,4,3,12,1]
[3,1,11,4,5,2,8,6,7,9,10,12]=>[12,10,9,7,6,8,2,5,4,11,1,3]
[3,4,1,10,5,2,8,6,7,9,11,12]=>[12,11,9,7,6,8,2,5,10,1,4,3]
[3,4,5,1,9,2,8,6,7,10,11,12]=>[12,11,10,7,6,8,2,9,1,5,4,3]
[2,3,4,1,5,6,9,7,8,10,11,12]=>[12,11,10,8,7,9,6,5,1,4,3,2]
[2,1,11,3,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,3,11,1,2]
[2,3,1,10,4,5,6,7,8,9,11,12]=>[12,11,9,8,7,6,5,4,10,1,3,2]
[2,3,4,1,9,5,6,7,8,10,11,12]=>[12,11,10,8,7,6,5,9,1,4,3,2]
[2,3,4,5,1,8,6,7,9,10,11,12]=>[12,11,10,9,7,6,8,1,5,4,3,2]
[6,7,5,8,4,9,3,12,2,10,1,11]=>[11,1,10,2,12,3,9,4,8,5,7,6]
[6,7,5,8,4,9,3,12,11,1,10,2]=>[2,10,1,11,12,3,9,4,8,5,7,6]
[4,1,6,3,8,5,11,7,9,10,12,2]=>[2,12,10,9,7,11,5,8,3,6,1,4]
[4,1,6,3,9,5,10,7,12,8,11,2]=>[2,11,8,12,7,10,5,9,3,6,1,4]
[4,1,6,3,9,5,7,11,12,10,8,2]=>[2,8,10,12,11,7,5,9,3,6,1,4]
[4,1,6,3,10,5,7,8,9,11,12,2]=>[2,12,11,9,8,7,5,10,3,6,1,4]
[4,1,7,3,8,5,10,6,12,9,11,2]=>[2,11,9,12,6,10,5,8,3,7,1,4]
[4,1,7,3,8,5,11,6,9,10,12,2]=>[2,12,10,9,6,11,5,8,3,7,1,4]
[4,1,7,3,9,10,12,5,8,6,11,2]=>[2,11,6,8,5,12,10,9,3,7,1,4]
[4,1,7,3,5,9,11,12,8,10,6,2]=>[2,6,10,8,12,11,9,5,3,7,1,4]
[4,1,7,3,5,10,11,8,9,6,12,2]=>[2,12,6,9,8,11,10,5,3,7,1,4]
[4,1,8,3,9,5,6,10,12,7,11,2]=>[2,11,7,12,10,6,5,9,3,8,1,4]
[4,1,8,3,5,9,6,11,12,10,7,2]=>[2,7,10,12,11,6,9,5,3,8,1,4]
[4,1,8,3,5,6,10,11,9,12,7,2]=>[2,7,12,9,11,10,6,5,3,8,1,4]
[4,1,9,3,5,6,7,8,10,11,12,2]=>[2,12,11,10,8,7,6,5,3,9,1,4]
[5,1,6,3,8,4,10,7,12,9,11,2]=>[2,11,9,12,7,10,4,8,3,6,1,5]
[5,1,6,3,8,4,11,7,9,10,12,2]=>[2,12,10,9,7,11,4,8,3,6,1,5]
[5,1,6,3,9,4,10,7,12,8,11,2]=>[2,11,8,12,7,10,4,9,3,6,1,5]
[5,1,6,3,9,4,7,11,12,10,8,2]=>[2,8,10,12,11,7,4,9,3,6,1,5]
[5,1,6,3,10,4,7,8,9,11,12,2]=>[2,12,11,9,8,7,4,10,3,6,1,5]
[5,1,7,8,10,3,6,4,12,9,11,2]=>[2,11,9,12,4,6,3,10,8,7,1,5]
[5,1,7,8,11,3,6,4,9,10,12,2]=>[2,12,10,9,4,6,3,11,8,7,1,5]
[5,1,7,9,10,12,3,6,8,4,11,2]=>[2,11,4,8,6,3,12,10,9,7,1,5]
[5,1,3,7,9,11,6,12,8,10,4,2]=>[2,4,10,8,12,6,11,9,7,3,1,5]
[5,1,3,7,10,11,6,8,9,4,12,2]=>[2,12,4,9,8,6,11,10,7,3,1,5]
[5,1,8,9,10,3,6,7,12,4,11,2]=>[2,11,4,12,7,6,3,10,9,8,1,5]
[5,1,3,8,9,11,6,7,12,10,4,2]=>[2,4,10,12,7,6,11,9,8,3,1,5]
[5,1,3,8,10,6,11,7,9,12,4,2]=>[2,4,12,9,7,11,6,10,8,3,1,5]
[5,1,3,9,10,6,7,8,4,11,12,2]=>[2,12,11,4,8,7,6,10,9,3,1,5]
[6,1,7,3,4,8,10,5,12,9,11,2]=>[2,11,9,12,5,10,8,4,3,7,1,6]
[6,1,7,3,4,8,11,5,9,10,12,2]=>[2,12,10,9,5,11,8,4,3,7,1,6]
[6,1,7,9,3,10,12,4,8,5,11,2]=>[2,11,5,8,4,12,10,3,9,7,1,6]
[6,1,3,7,4,9,11,12,8,10,5,2]=>[2,5,10,8,12,11,9,4,7,3,1,6]
[6,1,3,7,4,10,11,8,9,5,12,2]=>[2,12,5,9,8,11,10,4,7,3,1,6]
[6,1,8,3,9,10,4,12,7,5,11,2]=>[2,11,5,7,12,4,10,9,3,8,1,6]
[6,1,3,8,9,11,4,12,7,10,5,2]=>[2,5,10,7,12,4,11,9,8,3,1,6]
[6,1,3,4,8,10,11,12,9,7,5,2]=>[2,5,7,9,12,11,10,8,4,3,1,6]
[6,1,3,4,9,10,7,8,11,5,12,2]=>[2,12,5,11,8,7,10,9,4,3,1,6]
[7,1,8,3,4,5,9,10,12,6,11,2]=>[2,11,6,12,10,9,5,4,3,8,1,7]
[7,1,3,8,4,5,9,11,12,10,6,2]=>[2,6,10,12,11,9,5,4,8,3,1,7]
[7,1,3,4,8,5,10,11,9,12,6,2]=>[2,6,12,9,11,10,5,8,4,3,1,7]
[7,1,3,4,5,9,10,8,11,12,6,2]=>[2,6,12,11,8,10,9,5,4,3,1,7]
[8,1,3,4,5,6,7,9,10,11,12,2]=>[2,12,11,10,9,7,6,5,4,3,1,8]
[4,1,6,2,8,5,10,7,12,9,11,3]=>[3,11,9,12,7,10,5,8,2,6,1,4]
[4,1,6,2,8,5,11,7,9,10,12,3]=>[3,12,10,9,7,11,5,8,2,6,1,4]
[4,1,6,2,9,5,10,7,12,8,11,3]=>[3,11,8,12,7,10,5,9,2,6,1,4]
[4,1,6,2,9,5,7,11,12,10,8,3]=>[3,8,10,12,11,7,5,9,2,6,1,4]
[4,1,6,2,10,5,7,8,9,11,12,3]=>[3,12,11,9,8,7,5,10,2,6,1,4]
[4,1,7,2,8,5,10,6,12,9,11,3]=>[3,11,9,12,6,10,5,8,2,7,1,4]
[4,1,7,2,8,5,11,6,9,10,12,3]=>[3,12,10,9,6,11,5,8,2,7,1,4]
[4,1,7,2,9,10,12,5,8,6,11,3]=>[3,11,6,8,5,12,10,9,2,7,1,4]
[4,1,7,2,5,9,11,12,8,10,6,3]=>[3,6,10,8,12,11,9,5,2,7,1,4]
[4,1,7,2,5,10,11,8,9,6,12,3]=>[3,12,6,9,8,11,10,5,2,7,1,4]
[4,1,8,2,9,5,6,10,12,7,11,3]=>[3,11,7,12,10,6,5,9,2,8,1,4]
[4,1,8,2,5,9,6,11,12,10,7,3]=>[3,7,10,12,11,6,9,5,2,8,1,4]
[4,1,8,2,5,6,10,11,9,12,7,3]=>[3,7,12,9,11,10,6,5,2,8,1,4]
[4,1,9,2,5,6,7,8,10,11,12,3]=>[3,12,11,10,8,7,6,5,2,9,1,4]
[5,6,8,1,4,2,10,7,12,9,11,3]=>[3,11,9,12,7,10,2,4,1,8,6,5]
[5,6,8,1,4,2,11,7,9,10,12,3]=>[3,12,10,9,7,11,2,4,1,8,6,5]
[5,6,9,1,4,2,10,7,12,8,11,3]=>[3,11,8,12,7,10,2,4,1,9,6,5]
[5,6,9,1,4,2,7,11,12,10,8,3]=>[3,8,10,12,11,7,2,4,1,9,6,5]
[5,6,10,1,4,2,7,8,9,11,12,3]=>[3,12,11,9,8,7,2,4,1,10,6,5]
[5,7,8,10,1,4,6,2,12,9,11,3]=>[3,11,9,12,2,6,4,1,10,8,7,5]
[5,7,8,11,1,4,6,2,9,10,12,3]=>[3,12,10,9,2,6,4,1,11,8,7,5]
[5,7,9,10,1,12,4,6,8,2,11,3]=>[3,11,2,8,6,4,12,1,10,9,7,5]
[1,5,7,9,4,11,6,12,8,10,2,3]=>[3,2,10,8,12,6,11,4,9,7,5,1]
[1,5,7,10,4,11,6,8,9,2,12,3]=>[3,12,2,9,8,6,11,4,10,7,5,1]
[5,8,9,10,1,4,6,7,12,2,11,3]=>[3,11,2,12,7,6,4,1,10,9,8,5]
[1,5,8,9,4,11,6,7,12,10,2,3]=>[3,2,10,12,7,6,11,4,9,8,5,1]
[1,5,8,10,4,6,11,7,9,12,2,3]=>[3,2,12,9,7,11,6,4,10,8,5,1]
[1,5,9,10,4,6,7,8,2,11,12,3]=>[3,12,11,2,8,7,6,4,10,9,5,1]
[6,7,8,1,4,5,10,2,12,9,11,3]=>[3,11,9,12,2,10,5,4,1,8,7,6]
[6,7,8,1,4,5,11,2,9,10,12,3]=>[3,12,10,9,2,11,5,4,1,8,7,6]
[6,7,9,10,1,4,12,5,8,2,11,3]=>[3,11,2,8,5,12,4,1,10,9,7,6]
[1,6,7,9,4,5,11,12,8,10,2,3]=>[3,2,10,8,12,11,5,4,9,7,6,1]
[1,6,7,10,4,5,11,8,9,2,12,3]=>[3,12,2,9,8,11,5,4,10,7,6,1]
[6,8,9,1,10,4,5,12,7,2,11,3]=>[3,11,2,7,12,5,4,10,1,9,8,6]
[1,6,8,9,11,4,5,12,7,10,2,3]=>[3,2,10,7,12,5,4,11,9,8,6,1]
[1,6,8,4,10,5,11,12,9,7,2,3]=>[3,2,7,9,12,11,5,10,4,8,6,1]
[1,6,9,4,10,5,7,8,11,2,12,3]=>[3,12,2,11,8,7,5,10,4,9,6,1]
[7,8,9,1,4,5,6,10,12,2,11,3]=>[3,11,2,12,10,6,5,4,1,9,8,7]
[1,7,8,9,4,5,6,11,12,10,2,3]=>[3,2,10,12,11,6,5,4,9,8,7,1]
[1,7,8,4,10,5,6,11,9,12,2,3]=>[3,2,12,9,11,6,5,10,4,8,7,1]
[1,7,9,4,5,10,6,8,11,12,2,3]=>[3,2,12,11,8,6,10,5,4,9,7,1]
[1,8,9,4,5,6,7,2,10,11,12,3]=>[3,12,11,10,2,7,6,5,4,9,8,1]
[5,1,2,6,8,3,10,7,12,9,11,4]=>[4,11,9,12,7,10,3,8,6,2,1,5]
[5,1,2,6,8,3,11,7,9,10,12,4]=>[4,12,10,9,7,11,3,8,6,2,1,5]
[5,1,2,6,9,3,10,7,12,8,11,4]=>[4,11,8,12,7,10,3,9,6,2,1,5]
[5,1,2,6,9,3,7,11,12,10,8,4]=>[4,8,10,12,11,7,3,9,6,2,1,5]
[5,1,2,6,10,3,7,8,9,11,12,4]=>[4,12,11,9,8,7,3,10,6,2,1,5]
[5,7,1,8,10,2,6,3,12,9,11,4]=>[4,11,9,12,3,6,2,10,8,1,7,5]
[5,7,1,8,11,2,6,3,9,10,12,4]=>[4,12,10,9,3,6,2,11,8,1,7,5]
[5,7,1,9,10,12,2,6,8,3,11,4]=>[4,11,3,8,6,2,12,10,9,1,7,5]
[1,5,2,7,9,11,6,12,8,10,3,4]=>[4,3,10,8,12,6,11,9,7,2,5,1]
[1,5,2,7,10,11,6,8,9,3,12,4]=>[4,12,3,9,8,6,11,10,7,2,5,1]
[5,8,1,9,10,2,6,7,12,3,11,4]=>[4,11,3,12,7,6,2,10,9,1,8,5]
[1,5,2,8,9,11,6,7,12,10,3,4]=>[4,3,10,12,7,6,11,9,8,2,5,1]
[1,5,2,8,10,6,11,7,9,12,3,4]=>[4,3,12,9,7,11,6,10,8,2,5,1]
[1,5,2,9,10,6,7,8,3,11,12,4]=>[4,12,11,3,8,7,6,10,9,2,5,1]
[6,1,7,8,2,10,5,3,12,9,11,4]=>[4,11,9,12,3,5,10,2,8,7,1,6]
[6,1,7,8,2,11,5,3,9,10,12,4]=>[4,12,10,9,3,5,11,2,8,7,1,6]
[6,7,9,10,1,12,2,5,8,3,11,4]=>[4,11,3,8,5,2,12,1,10,9,7,6]
[1,6,7,9,2,11,5,12,8,10,3,4]=>[4,3,10,8,12,5,11,2,9,7,6,1]
[1,6,7,10,2,11,5,8,9,3,12,4]=>[4,12,3,9,8,5,11,2,10,7,6,1]
[6,1,8,9,10,12,2,7,5,3,11,4]=>[4,11,3,5,7,2,12,10,9,8,1,6]
[1,6,8,9,11,12,2,7,5,10,3,4]=>[4,3,10,5,7,2,12,11,9,8,6,1]
[1,2,6,8,10,11,12,7,9,5,3,4]=>[4,3,5,9,7,12,11,10,8,6,2,1]
[1,2,6,9,10,11,7,8,5,3,12,4]=>[4,12,3,5,8,7,11,10,9,6,2,1]
[7,1,8,9,2,5,10,6,12,3,11,4]=>[4,11,3,12,6,10,5,2,9,8,1,7]
[1,7,8,9,2,5,11,6,12,10,3,4]=>[4,3,10,12,6,11,5,2,9,8,7,1]
[1,2,7,8,10,5,11,6,9,12,3,4]=>[4,3,12,9,6,11,5,10,8,7,2,1]
[1,2,7,9,5,10,11,8,6,12,3,4]=>[4,3,12,6,8,11,10,5,9,7,2,1]
[1,2,8,9,5,6,7,10,3,11,12,4]=>[4,12,11,3,10,7,6,5,9,8,2,1]
[6,1,2,3,7,8,10,4,12,9,11,5]=>[5,11,9,12,4,10,8,7,3,2,1,6]
[6,1,2,3,7,8,11,4,9,10,12,5]=>[5,12,10,9,4,11,8,7,3,2,1,6]
[6,7,1,2,9,10,12,3,8,4,11,5]=>[5,11,4,8,3,12,10,9,2,1,7,6]
[1,6,2,3,7,9,11,12,8,10,4,5]=>[5,4,10,8,12,11,9,7,3,2,6,1]
[1,6,2,3,7,10,11,8,9,4,12,5]=>[5,12,4,9,8,11,10,7,3,2,6,1]
[6,1,8,2,9,10,3,12,7,4,11,5]=>[5,11,4,7,12,3,10,9,2,8,1,6]
[1,6,8,2,9,11,3,12,7,10,4,5]=>[5,4,10,7,12,3,11,9,2,8,6,1]
[1,2,6,3,8,10,11,12,9,7,4,5]=>[5,4,7,9,12,11,10,8,3,6,2,1]
[1,2,6,3,9,10,7,8,11,4,12,5]=>[5,12,4,11,8,7,10,9,3,6,2,1]
[7,1,2,8,9,3,10,12,6,4,11,5]=>[5,11,4,6,12,10,3,9,8,2,1,7]
[1,7,2,8,9,3,11,12,6,10,4,5]=>[5,4,10,6,12,11,3,9,8,2,7,1]
[1,2,7,8,10,3,11,12,9,6,4,5]=>[5,4,6,9,12,11,3,10,8,7,2,1]
[1,2,3,7,9,10,11,8,12,6,4,5]=>[5,4,6,12,8,11,10,9,7,3,2,1]
[1,2,3,8,9,6,7,10,11,4,12,5]=>[5,12,4,11,10,7,6,9,8,3,2,1]
[7,1,2,3,4,8,9,10,12,5,11,6]=>[6,11,5,12,10,9,8,4,3,2,1,7]
[1,7,2,3,4,8,9,11,12,10,5,6]=>[6,5,10,12,11,9,8,4,3,2,7,1]
[1,2,7,3,4,8,10,11,9,12,5,6]=>[6,5,12,9,11,10,8,4,3,7,2,1]
[1,2,3,7,4,9,10,8,11,12,5,6]=>[6,5,12,11,8,10,9,4,7,3,2,1]
[1,2,3,4,8,9,7,10,11,12,5,6]=>[6,5,12,11,10,7,9,8,4,3,2,1]
[1,2,3,4,5,6,8,9,10,11,12,7]=>[7,12,11,10,9,8,6,5,4,3,2,1]
[12,1,11,2,10,3,9,4,7,6,8,5]=>[5,8,6,7,4,9,3,10,2,11,1,12]
[12,1,11,2,10,3,8,7,9,4,6,5]=>[5,6,4,9,7,8,3,10,2,11,1,12]
[12,1,11,2,10,3,8,6,9,5,7,4]=>[4,7,5,9,6,8,3,10,2,11,1,12]
[12,1,11,2,10,3,7,6,5,8,9,4]=>[4,9,8,5,6,7,3,10,2,11,1,12]
[12,1,11,2,9,8,10,3,7,4,6,5]=>[5,6,4,7,3,10,8,9,2,11,1,12]
[12,1,11,2,9,8,10,3,6,5,7,4]=>[4,7,5,6,3,10,8,9,2,11,1,12]
[12,1,11,2,9,7,10,6,8,3,5,4]=>[4,5,3,8,6,10,7,9,2,11,1,12]
[12,1,11,2,9,7,10,5,8,4,6,3]=>[3,6,4,8,5,10,7,9,2,11,1,12]
[12,1,11,2,9,6,10,5,4,7,8,3]=>[3,8,7,4,5,10,6,9,2,11,1,12]
[12,1,11,2,8,7,6,9,10,3,5,4]=>[4,5,3,10,9,6,7,8,2,11,1,12]
[12,1,11,2,8,7,5,9,10,4,6,3]=>[3,6,4,10,9,5,7,8,2,11,1,12]
[12,1,11,2,8,6,5,9,4,7,10,3]=>[3,10,7,4,9,5,6,8,2,11,1,12]
[12,1,11,2,7,6,5,4,8,9,10,3]=>[3,10,9,8,4,5,6,7,2,11,1,12]
[12,1,10,9,11,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,11,9,10,1,12]
[12,1,10,9,11,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,11,9,10,1,12]
[12,1,10,9,11,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,11,9,10,1,12]
[12,1,10,9,11,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,11,9,10,1,12]
[12,1,10,9,11,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,11,9,10,1,12]
[12,1,10,8,11,7,9,2,6,3,5,4]=>[4,5,3,6,2,9,7,11,8,10,1,12]
[12,1,10,8,11,7,9,2,5,4,6,3]=>[3,6,4,5,2,9,7,11,8,10,1,12]
[12,1,10,8,11,6,9,5,7,2,4,3]=>[3,4,2,7,5,9,6,11,8,10,1,12]
[12,1,10,8,11,6,9,4,7,3,5,2]=>[2,5,3,7,4,9,6,11,8,10,1,12]
[12,1,10,8,11,5,9,4,3,6,7,2]=>[2,7,6,3,4,9,5,11,8,10,1,12]
[12,1,10,7,11,6,5,8,9,2,4,3]=>[3,4,2,9,8,5,6,11,7,10,1,12]
[12,1,10,7,11,6,4,8,9,3,5,2]=>[2,5,3,9,8,4,6,11,7,10,1,12]
[12,1,10,7,11,5,4,8,3,6,9,2]=>[2,9,6,3,8,4,5,11,7,10,1,12]
[12,1,10,6,11,5,4,3,7,8,9,2]=>[2,9,8,7,3,4,5,11,6,10,1,12]
[12,1,9,8,7,10,11,2,6,3,5,4]=>[4,5,3,6,2,11,10,7,8,9,1,12]
[12,1,9,8,7,10,11,2,5,4,6,3]=>[3,6,4,5,2,11,10,7,8,9,1,12]
[12,1,9,8,6,10,11,5,7,2,4,3]=>[3,4,2,7,5,11,10,6,8,9,1,12]
[12,1,9,8,6,10,11,4,7,3,5,2]=>[2,5,3,7,4,11,10,6,8,9,1,12]
[12,1,9,8,5,10,11,4,3,6,7,2]=>[2,7,6,3,4,11,10,5,8,9,1,12]
[12,1,9,7,6,10,5,8,11,2,4,3]=>[3,4,2,11,8,5,10,6,7,9,1,12]
[12,1,9,7,6,10,4,8,11,3,5,2]=>[2,5,3,11,8,4,10,6,7,9,1,12]
[12,1,9,7,5,10,4,8,3,6,11,2]=>[2,11,6,3,8,4,10,5,7,9,1,12]
[12,1,9,6,5,10,4,3,7,8,11,2]=>[2,11,8,7,3,4,10,5,6,9,1,12]
[12,1,8,7,6,5,9,10,11,2,4,3]=>[3,4,2,11,10,9,5,6,7,8,1,12]
[12,1,8,7,6,4,9,10,11,3,5,2]=>[2,5,3,11,10,9,4,6,7,8,1,12]
[12,1,8,7,5,4,9,10,3,6,11,2]=>[2,11,6,3,10,9,4,5,7,8,1,12]
[12,1,8,6,5,4,9,3,7,10,11,2]=>[2,11,10,7,3,9,4,5,6,8,1,12]
[12,1,7,6,5,4,3,8,9,10,11,2]=>[2,11,10,9,8,3,4,5,6,7,1,12]
[11,10,12,1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1,12,10,11]
[11,10,12,1,9,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,9,1,12,10,11]
[11,10,12,1,9,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,9,1,12,10,11]
[11,10,12,1,9,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,9,1,12,10,11]
[11,10,12,1,9,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,9,1,12,10,11]
[11,10,12,1,8,7,9,2,6,3,5,4]=>[4,5,3,6,2,9,7,8,1,12,10,11]
[11,10,12,1,8,7,9,2,5,4,6,3]=>[3,6,4,5,2,9,7,8,1,12,10,11]
[11,10,12,1,8,6,9,5,7,2,4,3]=>[3,4,2,7,5,9,6,8,1,12,10,11]
[11,10,12,1,8,6,9,4,7,3,5,2]=>[2,5,3,7,4,9,6,8,1,12,10,11]
[11,10,12,1,8,5,9,4,3,6,7,2]=>[2,7,6,3,4,9,5,8,1,12,10,11]
[11,10,12,1,7,6,5,8,9,2,4,3]=>[3,4,2,9,8,5,6,7,1,12,10,11]
[11,10,12,1,7,6,4,8,9,3,5,2]=>[2,5,3,9,8,4,6,7,1,12,10,11]
[11,10,12,1,7,5,4,8,3,6,9,2]=>[2,9,6,3,8,4,5,7,1,12,10,11]
[11,10,12,1,6,5,4,3,7,8,9,2]=>[2,9,8,7,3,4,5,6,1,12,10,11]
[11,9,12,8,10,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,10,8,12,9,11]
[11,9,12,8,10,1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1,10,8,12,9,11]
[11,9,12,8,10,1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1,10,8,12,9,11]
[11,9,12,8,10,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,10,8,12,9,11]
[11,9,12,8,10,1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1,10,8,12,9,11]
[11,9,12,7,10,6,8,1,5,2,4,3]=>[3,4,2,5,1,8,6,10,7,12,9,11]
[11,9,12,7,10,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,10,7,12,9,11]
[11,9,12,7,10,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,10,7,12,9,11]
[11,9,12,7,10,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,10,7,12,9,11]
[11,9,12,7,10,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,10,7,12,9,11]
[11,9,12,6,10,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,10,6,12,9,11]
[11,9,12,6,10,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,10,6,12,9,11]
[11,9,12,6,10,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,10,6,12,9,11]
[11,9,12,5,10,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,10,5,12,9,11]
[11,8,12,7,6,9,10,1,5,2,4,3]=>[3,4,2,5,1,10,9,6,7,12,8,11]
[11,8,12,7,6,9,10,1,4,3,5,2]=>[2,5,3,4,1,10,9,6,7,12,8,11]
[11,8,12,7,5,9,10,4,6,1,3,2]=>[2,3,1,6,4,10,9,5,7,12,8,11]
[11,8,12,7,5,9,10,3,6,2,4,1]=>[1,4,2,6,3,10,9,5,7,12,8,11]
[11,8,12,7,4,9,10,3,2,5,6,1]=>[1,6,5,2,3,10,9,4,7,12,8,11]
[11,8,12,6,5,9,4,7,10,1,3,2]=>[2,3,1,10,7,4,9,5,6,12,8,11]
[11,8,12,6,5,9,3,7,10,2,4,1]=>[1,4,2,10,7,3,9,5,6,12,8,11]
[11,8,12,6,4,9,3,7,2,5,10,1]=>[1,10,5,2,7,3,9,4,6,12,8,11]
[11,8,12,5,4,9,3,2,6,7,10,1]=>[1,10,7,6,2,3,9,4,5,12,8,11]
[11,7,12,6,5,4,8,9,10,1,3,2]=>[2,3,1,10,9,8,4,5,6,12,7,11]
[11,7,12,6,5,3,8,9,10,2,4,1]=>[1,4,2,10,9,8,3,5,6,12,7,11]
[11,7,12,6,4,3,8,9,2,5,10,1]=>[1,10,5,2,9,8,3,4,6,12,7,11]
[11,7,12,5,4,3,8,2,6,9,10,1]=>[1,10,9,6,2,8,3,4,5,12,7,11]
[11,6,12,5,4,3,2,7,8,9,10,1]=>[1,10,9,8,7,2,3,4,5,12,6,11]
[10,9,8,11,12,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,12,11,8,9,10]
[10,9,8,11,12,1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1,12,11,8,9,10]
[10,9,8,11,12,1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1,12,11,8,9,10]
[10,9,8,11,12,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,12,11,8,9,10]
[10,9,8,11,12,1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1,12,11,8,9,10]
[10,9,7,11,12,6,8,1,5,2,4,3]=>[3,4,2,5,1,8,6,12,11,7,9,10]
[10,9,7,11,12,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,12,11,7,9,10]
[10,9,7,11,12,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,12,11,7,9,10]
[10,9,7,11,12,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,12,11,7,9,10]
[10,9,7,11,12,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,12,11,7,9,10]
[10,9,6,11,12,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,12,11,6,9,10]
[10,9,6,11,12,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,12,11,6,9,10]
[10,9,6,11,12,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,12,11,6,9,10]
[10,9,5,11,12,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,12,11,5,9,10]
[10,8,7,11,6,9,12,1,5,2,4,3]=>[3,4,2,5,1,12,9,6,11,7,8,10]
[10,8,7,11,6,9,12,1,4,3,5,2]=>[2,5,3,4,1,12,9,6,11,7,8,10]
[10,8,7,11,5,9,12,4,6,1,3,2]=>[2,3,1,6,4,12,9,5,11,7,8,10]
[10,8,7,11,5,9,12,3,6,2,4,1]=>[1,4,2,6,3,12,9,5,11,7,8,10]
[10,8,7,11,4,9,12,3,2,5,6,1]=>[1,6,5,2,3,12,9,4,11,7,8,10]
[10,8,6,11,5,9,4,7,12,1,3,2]=>[2,3,1,12,7,4,9,5,11,6,8,10]
[10,8,6,11,5,9,3,7,12,2,4,1]=>[1,4,2,12,7,3,9,5,11,6,8,10]
[10,8,6,11,4,9,3,7,2,5,12,1]=>[1,12,5,2,7,3,9,4,11,6,8,10]
[10,8,5,11,4,9,3,2,6,7,12,1]=>[1,12,7,6,2,3,9,4,11,5,8,10]
[10,7,6,11,5,4,8,9,12,1,3,2]=>[2,3,1,12,9,8,4,5,11,6,7,10]
[10,7,6,11,5,3,8,9,12,2,4,1]=>[1,4,2,12,9,8,3,5,11,6,7,10]
[10,7,6,11,4,3,8,9,2,5,12,1]=>[1,12,5,2,9,8,3,4,11,6,7,10]
[10,7,5,11,4,3,8,2,6,9,12,1]=>[1,12,9,6,2,8,3,4,11,5,7,10]
[10,6,5,11,4,3,2,7,8,9,12,1]=>[1,12,9,8,7,2,3,4,11,5,6,10]
[9,8,7,6,10,11,12,1,5,2,4,3]=>[3,4,2,5,1,12,11,10,6,7,8,9]
[9,8,7,6,10,11,12,1,4,3,5,2]=>[2,5,3,4,1,12,11,10,6,7,8,9]
[9,8,7,5,10,11,12,4,6,1,3,2]=>[2,3,1,6,4,12,11,10,5,7,8,9]
[9,8,7,5,10,11,12,3,6,2,4,1]=>[1,4,2,6,3,12,11,10,5,7,8,9]
[9,8,7,4,10,11,12,3,2,5,6,1]=>[1,6,5,2,3,12,11,10,4,7,8,9]
[9,8,6,5,10,11,4,7,12,1,3,2]=>[2,3,1,12,7,4,11,10,5,6,8,9]
[9,8,6,5,10,11,3,7,12,2,4,1]=>[1,4,2,12,7,3,11,10,5,6,8,9]
[9,8,6,4,10,11,3,7,2,5,12,1]=>[1,12,5,2,7,3,11,10,4,6,8,9]
[9,8,5,4,10,11,3,2,6,7,12,1]=>[1,12,7,6,2,3,11,10,4,5,8,9]
[9,7,6,5,10,4,8,11,12,1,3,2]=>[2,3,1,12,11,8,4,10,5,6,7,9]
[9,7,6,5,10,3,8,11,12,2,4,1]=>[1,4,2,12,11,8,3,10,5,6,7,9]
[9,7,6,4,10,3,8,11,2,5,12,1]=>[1,12,5,2,11,8,3,10,4,6,7,9]
[9,7,5,4,10,3,8,2,6,11,12,1]=>[1,12,11,6,2,8,3,10,4,5,7,9]
[9,6,5,4,10,3,2,7,8,11,12,1]=>[1,12,11,8,7,2,3,10,4,5,6,9]
[8,7,6,5,4,9,10,11,12,1,3,2]=>[2,3,1,12,11,10,9,4,5,6,7,8]
[8,7,6,5,3,9,10,11,12,2,4,1]=>[1,4,2,12,11,10,9,3,5,6,7,8]
[8,7,6,4,3,9,10,11,2,5,12,1]=>[1,12,5,2,11,10,9,3,4,6,7,8]
[8,7,5,4,3,9,10,2,6,11,12,1]=>[1,12,11,6,2,10,9,3,4,5,7,8]
[8,6,5,4,3,9,2,7,10,11,12,1]=>[1,12,11,10,7,2,9,3,4,5,6,8]
[7,6,5,4,3,2,8,9,10,11,12,1]=>[1,12,11,10,9,8,2,3,4,5,6,7]
[7,6,8,5,9,4,10,3,1,12,11,2]=>[2,11,12,1,3,10,4,9,5,8,6,7]
[7,6,8,5,9,4,2,11,10,3,12,1]=>[1,12,3,10,11,2,4,9,5,8,6,7]
[7,6,8,5,9,4,10,1,3,12,11,2]=>[2,11,12,3,1,10,4,9,5,8,6,7]
[7,6,8,5,9,4,1,2,12,11,10,3]=>[3,10,11,12,2,1,4,9,5,8,6,7]
[7,6,8,5,3,10,9,4,11,2,12,1]=>[1,12,2,11,4,9,10,3,5,8,6,7]
[7,6,8,5,3,10,9,4,1,12,11,2]=>[2,11,12,1,4,9,10,3,5,8,6,7]
[7,6,8,5,9,2,4,11,10,3,12,1]=>[1,12,3,10,11,4,2,9,5,8,6,7]
[7,6,8,5,9,10,2,1,4,12,11,3]=>[3,11,12,4,1,2,10,9,5,8,6,7]
[7,6,8,5,9,1,4,2,12,11,10,3]=>[3,10,11,12,2,4,1,9,5,8,6,7]
[7,6,8,5,2,3,11,10,9,4,12,1]=>[1,12,4,9,10,11,3,2,5,8,6,7]
[7,6,8,5,2,10,1,11,4,12,9,3]=>[3,9,12,4,11,1,10,2,5,8,6,7]
[7,6,8,5,9,1,2,4,12,11,10,3]=>[3,10,11,12,4,2,1,9,5,8,6,7]
[7,6,8,5,1,2,3,12,11,10,9,4]=>[4,9,10,11,12,3,2,1,5,8,6,7]
[7,6,4,9,8,5,10,3,11,2,12,1]=>[1,12,2,11,3,10,5,8,9,4,6,7]
[7,6,4,9,8,5,10,3,1,12,11,2]=>[2,11,12,1,3,10,5,8,9,4,6,7]
[7,6,4,9,8,5,2,11,10,3,12,1]=>[1,12,3,10,11,2,5,8,9,4,6,7]
[7,6,4,9,8,5,10,1,3,12,11,2]=>[2,11,12,3,1,10,5,8,9,4,6,7]
[7,6,4,9,8,5,1,2,12,11,10,3]=>[3,10,11,12,2,1,5,8,9,4,6,7]
[7,6,8,3,5,10,9,4,11,2,12,1]=>[1,12,2,11,4,9,10,5,3,8,6,7]
[7,6,8,3,5,10,9,4,1,12,11,2]=>[2,11,12,1,4,9,10,5,3,8,6,7]
[7,6,8,9,3,2,5,11,10,4,12,1]=>[1,12,4,10,11,5,2,3,9,8,6,7]
[7,6,8,9,3,10,2,1,5,12,11,4]=>[4,11,12,5,1,2,10,3,9,8,6,7]
[7,6,8,9,3,1,5,2,12,11,10,4]=>[4,10,11,12,2,5,1,3,9,8,6,7]
[7,6,8,2,5,3,11,10,9,4,12,1]=>[1,12,4,9,10,11,3,5,2,8,6,7]
[7,6,8,2,5,10,1,11,4,12,9,3]=>[3,9,12,4,11,1,10,5,2,8,6,7]
[7,6,8,9,3,1,2,5,12,11,10,4]=>[4,10,11,12,5,2,1,3,9,8,6,7]
[7,6,8,1,5,2,3,12,11,10,9,4]=>[4,9,10,11,12,3,2,5,1,8,6,7]
[7,6,3,4,10,9,8,5,11,2,12,1]=>[1,12,2,11,5,8,9,10,4,3,6,7]
[7,6,3,4,10,9,8,5,1,12,11,2]=>[2,11,12,1,5,8,9,10,4,3,6,7]
[7,6,3,9,2,10,5,11,8,4,12,1]=>[1,12,4,8,11,5,10,2,9,3,6,7]
[7,6,3,9,10,5,2,1,8,12,11,4]=>[4,11,12,8,1,2,5,10,9,3,6,7]
[7,6,3,9,1,10,5,2,12,11,8,4]=>[4,8,11,12,2,5,10,1,9,3,6,7]
[7,6,8,2,3,5,11,10,9,4,12,1]=>[1,12,4,9,10,11,5,3,2,8,6,7]
[7,6,8,2,10,3,1,11,5,12,9,4]=>[4,9,12,5,11,1,3,10,2,8,6,7]
[7,6,8,9,1,3,2,5,12,11,10,4]=>[4,10,11,12,5,2,3,1,9,8,6,7]
[7,6,8,1,2,5,3,12,11,10,9,4]=>[4,9,10,11,12,3,5,2,1,8,6,7]
[7,6,2,3,4,11,10,9,8,5,12,1]=>[1,12,5,8,9,10,11,4,3,2,6,7]
[7,6,2,3,10,1,11,9,5,12,8,4]=>[4,8,12,5,9,11,1,10,3,2,6,7]
[7,6,2,9,1,3,11,5,12,10,8,4]=>[4,8,10,12,5,11,3,1,9,2,6,7]
[7,6,8,1,2,3,5,12,11,10,9,4]=>[4,9,10,11,12,5,3,2,1,8,6,7]
[7,6,1,2,3,4,12,11,10,9,8,5]=>[5,8,9,10,11,12,4,3,2,1,6,7]
[5,8,7,6,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,6,7,8,5]
[5,8,7,6,9,4,10,3,1,12,11,2]=>[2,11,12,1,3,10,4,9,6,7,8,5]
[5,8,7,6,9,4,2,11,10,3,12,1]=>[1,12,3,10,11,2,4,9,6,7,8,5]
[5,8,7,6,9,4,10,1,3,12,11,2]=>[2,11,12,3,1,10,4,9,6,7,8,5]
[5,8,7,6,9,4,1,2,12,11,10,3]=>[3,10,11,12,2,1,4,9,6,7,8,5]
[5,8,7,6,3,10,9,4,11,2,12,1]=>[1,12,2,11,4,9,10,3,6,7,8,5]
[5,8,7,6,3,10,9,4,1,12,11,2]=>[2,11,12,1,4,9,10,3,6,7,8,5]
[5,8,7,6,9,2,4,11,10,3,12,1]=>[1,12,3,10,11,4,2,9,6,7,8,5]
[5,8,7,6,9,10,2,1,4,12,11,3]=>[3,11,12,4,1,2,10,9,6,7,8,5]
[5,8,7,6,9,1,4,2,12,11,10,3]=>[3,10,11,12,2,4,1,9,6,7,8,5]
[5,8,7,6,2,3,11,10,9,4,12,1]=>[1,12,4,9,10,11,3,2,6,7,8,5]
[5,8,7,6,2,10,1,11,4,12,9,3]=>[3,9,12,4,11,1,10,2,6,7,8,5]
[5,8,7,6,9,1,2,4,12,11,10,3]=>[3,10,11,12,4,2,1,9,6,7,8,5]
[5,8,7,6,1,2,3,12,11,10,9,4]=>[4,9,10,11,12,3,2,1,6,7,8,5]
[7,4,6,9,8,5,10,3,11,2,12,1]=>[1,12,2,11,3,10,5,8,9,6,4,7]
[7,4,6,9,8,5,10,3,1,12,11,2]=>[2,11,12,1,3,10,5,8,9,6,4,7]
[7,4,6,9,8,5,2,11,10,3,12,1]=>[1,12,3,10,11,2,5,8,9,6,4,7]
[7,4,6,9,8,5,10,1,3,12,11,2]=>[2,11,12,3,1,10,5,8,9,6,4,7]
[7,4,6,9,8,5,1,2,12,11,10,3]=>[3,10,11,12,2,1,5,8,9,6,4,7]
[7,8,4,3,6,10,9,5,11,2,12,1]=>[1,12,2,11,5,9,10,6,3,4,8,7]
[7,8,4,3,6,10,9,5,1,12,11,2]=>[2,11,12,1,5,9,10,6,3,4,8,7]
[7,8,4,9,3,2,6,11,10,5,12,1]=>[1,12,5,10,11,6,2,3,9,4,8,7]
[7,8,4,9,3,10,2,1,6,12,11,5]=>[5,11,12,6,1,2,10,3,9,4,8,7]
[7,8,4,9,3,1,6,2,12,11,10,5]=>[5,10,11,12,2,6,1,3,9,4,8,7]
[7,8,4,2,6,3,11,10,9,5,12,1]=>[1,12,5,9,10,11,3,6,2,4,8,7]
[7,8,4,2,6,10,1,11,5,12,9,3]=>[3,9,12,5,11,1,10,6,2,4,8,7]
[7,8,4,9,3,1,2,6,12,11,10,5]=>[5,10,11,12,6,2,1,3,9,4,8,7]
[7,8,4,1,6,2,3,12,11,10,9,5]=>[5,9,10,11,12,3,2,6,1,4,8,7]
[7,3,6,4,10,9,8,5,11,2,12,1]=>[1,12,2,11,5,8,9,10,4,6,3,7]
[7,3,6,4,10,9,8,5,1,12,11,2]=>[2,11,12,1,5,8,9,10,4,6,3,7]
[7,3,6,9,2,10,5,11,8,4,12,1]=>[1,12,4,8,11,5,10,2,9,6,3,7]
[7,3,6,9,10,5,2,1,8,12,11,4]=>[4,11,12,8,1,2,5,10,9,6,3,7]
[7,3,6,9,1,10,5,2,12,11,8,4]=>[4,8,11,12,2,5,10,1,9,6,3,7]
[7,8,4,2,3,6,11,10,9,5,12,1]=>[1,12,5,9,10,11,6,3,2,4,8,7]
[7,8,4,2,10,3,1,11,6,12,9,5]=>[5,9,12,6,11,1,3,10,2,4,8,7]
[7,8,4,9,1,3,2,6,12,11,10,5]=>[5,10,11,12,6,2,3,1,9,4,8,7]
[7,8,4,1,2,6,3,12,11,10,9,5]=>[5,9,10,11,12,3,6,2,1,4,8,7]
[7,2,6,3,4,11,10,9,8,5,12,1]=>[1,12,5,8,9,10,11,4,3,6,2,7]
[7,2,6,3,10,1,11,9,5,12,8,4]=>[4,8,12,5,9,11,1,10,3,6,2,7]
[7,2,6,9,1,3,11,5,12,10,8,4]=>[4,8,10,12,5,11,3,1,9,6,2,7]
[7,8,4,1,2,3,6,12,11,10,9,5]=>[5,9,10,11,12,6,3,2,1,4,8,7]
[7,1,6,2,3,4,12,11,10,9,8,5]=>[5,8,9,10,11,12,4,3,2,6,1,7]
[4,5,9,8,7,6,10,3,11,2,12,1]=>[1,12,2,11,3,10,6,7,8,9,5,4]
[4,5,9,8,7,6,10,3,1,12,11,2]=>[2,11,12,1,3,10,6,7,8,9,5,4]
[4,5,9,8,7,6,2,11,10,3,12,1]=>[1,12,3,10,11,2,6,7,8,9,5,4]
[4,5,9,8,7,6,10,1,3,12,11,2]=>[2,11,12,3,1,10,6,7,8,9,5,4]
[4,5,9,8,7,6,1,2,12,11,10,3]=>[3,10,11,12,2,1,6,7,8,9,5,4]
[4,8,3,9,6,10,7,5,11,2,12,1]=>[1,12,2,11,5,7,10,6,9,3,8,4]
[4,8,3,9,6,10,7,5,1,12,11,2]=>[2,11,12,1,5,7,10,6,9,3,8,4]
[4,8,9,6,3,2,7,11,10,5,12,1]=>[1,12,5,10,11,7,2,3,6,9,8,4]
[4,8,9,6,3,10,2,1,7,12,11,5]=>[5,11,12,7,1,2,10,3,6,9,8,4]
[4,8,9,6,3,1,7,2,12,11,10,5]=>[5,10,11,12,2,7,1,3,6,9,8,4]
[4,8,2,9,6,3,11,10,7,5,12,1]=>[1,12,5,7,10,11,3,6,9,2,8,4]
[4,8,2,9,6,10,1,11,5,12,7,3]=>[3,7,12,5,11,1,10,6,9,2,8,4]
[4,8,9,6,3,1,2,7,12,11,10,5]=>[5,10,11,12,7,2,1,3,6,9,8,4]
[4,8,1,9,6,2,3,12,11,10,7,5]=>[5,7,10,11,12,3,2,6,9,1,8,4]
[7,3,4,6,10,9,8,5,11,2,12,1]=>[1,12,2,11,5,8,9,10,6,4,3,7]
[7,3,4,6,10,9,8,5,1,12,11,2]=>[2,11,12,1,5,8,9,10,6,4,3,7]
[7,3,9,4,2,10,6,11,8,5,12,1]=>[1,12,5,8,11,6,10,2,4,9,3,7]
[7,3,9,4,10,6,2,1,8,12,11,5]=>[5,11,12,8,1,2,6,10,4,9,3,7]
[7,3,9,4,1,10,6,2,12,11,8,5]=>[5,8,11,12,2,6,10,1,4,9,3,7]
[7,8,2,4,3,6,11,10,9,5,12,1]=>[1,12,5,9,10,11,6,3,4,2,8,7]
[7,8,2,4,10,3,1,11,6,12,9,5]=>[5,9,12,6,11,1,3,10,4,2,8,7]
[7,8,9,2,1,4,3,6,12,11,10,5]=>[5,10,11,12,6,3,4,1,2,9,8,7]
[7,8,1,4,2,6,3,12,11,10,9,5]=>[5,9,10,11,12,3,6,2,4,1,8,7]
[7,2,3,6,4,11,10,9,8,5,12,1]=>[1,12,5,8,9,10,11,4,6,3,2,7]
[7,2,3,6,10,1,11,9,5,12,8,4]=>[4,8,12,5,9,11,1,10,6,3,2,7]
[7,2,9,4,1,3,11,6,12,10,8,5]=>[5,8,10,12,6,11,3,1,4,9,2,7]
[7,8,1,4,2,3,6,12,11,10,9,5]=>[5,9,10,11,12,6,3,2,4,1,8,7]
[7,1,2,6,3,4,12,11,10,9,8,5]=>[5,8,9,10,11,12,4,3,6,2,1,7]
[3,4,5,10,9,8,7,6,11,2,12,1]=>[1,12,2,11,6,7,8,9,10,5,4,3]
[3,4,5,10,9,8,7,6,1,12,11,2]=>[2,11,12,1,6,7,8,9,10,5,4,3]
[3,4,9,2,10,8,6,11,7,5,12,1]=>[1,12,5,7,11,6,8,10,2,9,4,3]
[3,4,9,10,7,6,2,1,8,12,11,5]=>[5,11,12,8,1,2,6,7,10,9,4,3]
[3,4,9,1,10,8,6,2,12,11,7,5]=>[5,7,11,12,2,6,8,10,1,9,4,3]
[3,8,2,4,10,6,11,9,7,5,12,1]=>[1,12,5,7,9,11,6,10,4,2,8,3]
[3,8,2,10,7,4,1,11,6,12,9,5]=>[5,9,12,6,11,1,4,7,10,2,8,3]
[3,8,9,1,7,4,2,6,12,11,10,5]=>[5,10,11,12,6,2,4,7,1,9,8,3]
[3,8,1,2,10,6,4,12,11,9,7,5]=>[5,7,9,11,12,4,6,10,2,1,8,3]
[7,2,3,4,6,11,10,9,8,5,12,1]=>[1,12,5,8,9,10,11,6,4,3,2,7]
[7,2,3,10,4,1,11,9,6,12,8,5]=>[5,8,12,6,9,11,1,4,10,3,2,7]
[7,2,9,1,4,3,11,6,12,10,8,5]=>[5,8,10,12,6,11,3,4,1,9,2,7]
[7,8,1,2,4,3,6,12,11,10,9,5]=>[5,9,10,11,12,6,3,4,2,1,8,7]
[7,1,2,3,6,4,12,11,10,9,8,5]=>[5,8,9,10,11,12,4,6,3,2,1,7]
[2,3,4,5,11,10,9,8,7,6,12,1]=>[1,12,6,7,8,9,10,11,5,4,3,2]
[2,3,4,10,1,11,9,8,6,12,7,5]=>[5,7,12,6,8,9,11,1,10,4,3,2]
[2,3,9,1,4,11,10,6,12,8,7,5]=>[5,7,8,12,6,10,11,4,1,9,3,2]
[2,8,1,3,4,11,6,12,10,9,7,5]=>[5,7,9,10,12,6,11,4,3,1,8,2]
[7,1,2,3,4,6,12,11,10,9,8,5]=>[5,8,9,10,11,12,6,4,3,2,1,7]
[3,2,6,5,9,8,10,7,11,12,4,1]=>[1,4,12,11,7,10,8,9,5,6,2,3]
[3,2,6,5,9,8,10,11,7,4,12,1]=>[1,12,4,7,11,10,8,9,5,6,2,3]
[3,2,6,5,9,8,10,11,7,12,4,1]=>[1,4,12,7,11,10,8,9,5,6,2,3]
[3,2,6,5,9,8,10,11,12,7,4,1]=>[1,4,7,12,11,10,8,9,5,6,2,3]
[3,2,6,5,8,10,9,7,11,4,12,1]=>[1,12,4,11,7,9,10,8,5,6,2,3]
[3,2,6,5,8,10,9,7,11,12,4,1]=>[1,4,12,11,7,9,10,8,5,6,2,3]
[3,2,6,5,8,10,9,11,7,4,12,1]=>[1,12,4,7,11,9,10,8,5,6,2,3]
[3,2,6,5,8,10,9,11,7,12,4,1]=>[1,4,12,7,11,9,10,8,5,6,2,3]
[3,2,6,5,8,10,9,11,12,7,4,1]=>[1,4,7,12,11,9,10,8,5,6,2,3]
[3,2,6,5,8,10,11,9,7,4,12,1]=>[1,12,4,7,9,11,10,8,5,6,2,3]
[3,2,6,5,8,10,11,9,7,12,4,1]=>[1,4,12,7,9,11,10,8,5,6,2,3]
[3,2,6,5,8,10,11,9,12,7,4,1]=>[1,4,7,12,9,11,10,8,5,6,2,3]
[3,2,6,5,8,10,11,12,9,7,4,1]=>[1,4,7,9,12,11,10,8,5,6,2,3]
[3,2,5,9,8,7,10,6,11,4,12,1]=>[1,12,4,11,6,10,7,8,9,5,2,3]
[3,2,5,9,8,7,10,6,11,12,4,1]=>[1,4,12,11,6,10,7,8,9,5,2,3]
[3,2,5,9,8,7,10,11,6,4,12,1]=>[1,12,4,6,11,10,7,8,9,5,2,3]
[3,2,5,9,8,7,10,11,6,12,4,1]=>[1,4,12,6,11,10,7,8,9,5,2,3]
[3,2,5,9,8,7,10,11,12,6,4,1]=>[1,4,6,12,11,10,7,8,9,5,2,3]
[3,2,5,8,7,10,9,6,11,4,12,1]=>[1,12,4,11,6,9,10,7,8,5,2,3]
[3,2,5,8,7,10,9,6,11,12,4,1]=>[1,4,12,11,6,9,10,7,8,5,2,3]
[3,2,5,8,7,10,9,11,6,4,12,1]=>[1,12,4,6,11,9,10,7,8,5,2,3]
[3,2,5,8,7,10,9,11,6,12,4,1]=>[1,4,12,6,11,9,10,7,8,5,2,3]
[3,2,5,8,7,10,9,11,12,6,4,1]=>[1,4,6,12,11,9,10,7,8,5,2,3]
[3,2,5,8,7,10,11,9,6,4,12,1]=>[1,12,4,6,9,11,10,7,8,5,2,3]
[3,2,5,8,7,10,11,9,6,12,4,1]=>[1,4,12,6,9,11,10,7,8,5,2,3]
[3,2,5,8,7,10,11,9,12,6,4,1]=>[1,4,6,12,9,11,10,7,8,5,2,3]
[3,2,5,8,7,10,11,12,9,6,4,1]=>[1,4,6,9,12,11,10,7,8,5,2,3]
[3,2,5,7,10,9,8,6,11,4,12,1]=>[1,12,4,11,6,8,9,10,7,5,2,3]
[3,2,5,7,10,9,8,6,11,12,4,1]=>[1,4,12,11,6,8,9,10,7,5,2,3]
[3,2,5,7,10,9,8,11,6,4,12,1]=>[1,12,4,6,11,8,9,10,7,5,2,3]
[3,2,5,7,10,9,8,11,6,12,4,1]=>[1,4,12,6,11,8,9,10,7,5,2,3]
[3,2,5,7,10,9,8,11,12,6,4,1]=>[1,4,6,12,11,8,9,10,7,5,2,3]
[3,2,5,7,10,9,11,8,6,4,12,1]=>[1,12,4,6,8,11,9,10,7,5,2,3]
[3,2,5,7,10,9,11,8,6,12,4,1]=>[1,4,12,6,8,11,9,10,7,5,2,3]
[3,2,5,7,10,9,11,8,12,6,4,1]=>[1,4,6,12,8,11,9,10,7,5,2,3]
[3,2,5,7,10,9,11,12,8,6,4,1]=>[1,4,6,8,12,11,9,10,7,5,2,3]
[3,2,5,7,9,11,10,8,6,4,12,1]=>[1,12,4,6,8,10,11,9,7,5,2,3]
[3,2,5,7,9,11,10,8,6,12,4,1]=>[1,4,12,6,8,10,11,9,7,5,2,3]
[3,2,5,7,9,11,10,8,12,6,4,1]=>[1,4,6,12,8,10,11,9,7,5,2,3]
[3,2,5,7,9,11,10,12,8,6,4,1]=>[1,4,6,8,12,10,11,9,7,5,2,3]
[3,2,5,7,9,11,12,10,8,6,4,1]=>[1,4,6,8,10,12,11,9,7,5,2,3]
[2,6,5,4,9,8,10,7,11,3,12,1]=>[1,12,3,11,7,10,8,9,4,5,6,2]
[2,6,5,4,9,8,10,7,11,12,3,1]=>[1,3,12,11,7,10,8,9,4,5,6,2]
[2,6,5,4,9,8,10,11,7,3,12,1]=>[1,12,3,7,11,10,8,9,4,5,6,2]
[2,6,5,4,9,8,10,11,7,12,3,1]=>[1,3,12,7,11,10,8,9,4,5,6,2]
[2,6,5,4,9,8,10,11,12,7,3,1]=>[1,3,7,12,11,10,8,9,4,5,6,2]
[2,6,5,4,8,10,9,7,11,3,12,1]=>[1,12,3,11,7,9,10,8,4,5,6,2]
[2,6,5,4,8,10,9,7,11,12,3,1]=>[1,3,12,11,7,9,10,8,4,5,6,2]
[2,6,5,4,8,10,9,11,7,3,12,1]=>[1,12,3,7,11,9,10,8,4,5,6,2]
[2,6,5,4,8,10,9,11,7,12,3,1]=>[1,3,12,7,11,9,10,8,4,5,6,2]
[2,6,5,4,8,10,9,11,12,7,3,1]=>[1,3,7,12,11,9,10,8,4,5,6,2]
[2,6,5,4,8,10,11,9,7,3,12,1]=>[1,12,3,7,9,11,10,8,4,5,6,2]
[2,6,5,4,8,10,11,9,7,12,3,1]=>[1,3,12,7,9,11,10,8,4,5,6,2]
[2,6,5,4,8,10,11,9,12,7,3,1]=>[1,3,7,12,9,11,10,8,4,5,6,2]
[2,6,5,4,8,10,11,12,9,7,3,1]=>[1,3,7,9,12,11,10,8,4,5,6,2]
[2,5,4,9,8,7,10,6,11,3,12,1]=>[1,12,3,11,6,10,7,8,9,4,5,2]
[2,5,4,9,8,7,10,6,11,12,3,1]=>[1,3,12,11,6,10,7,8,9,4,5,2]
[2,5,4,9,8,7,10,11,6,3,12,1]=>[1,12,3,6,11,10,7,8,9,4,5,2]
[2,5,4,9,8,7,10,11,6,12,3,1]=>[1,3,12,6,11,10,7,8,9,4,5,2]
[2,5,4,9,8,7,10,11,12,6,3,1]=>[1,3,6,12,11,10,7,8,9,4,5,2]
[2,5,4,8,7,10,9,6,11,3,12,1]=>[1,12,3,11,6,9,10,7,8,4,5,2]
[2,5,4,8,7,10,9,6,11,12,3,1]=>[1,3,12,11,6,9,10,7,8,4,5,2]
[2,5,4,8,7,10,9,11,6,3,12,1]=>[1,12,3,6,11,9,10,7,8,4,5,2]
[2,5,4,8,7,10,9,11,6,12,3,1]=>[1,3,12,6,11,9,10,7,8,4,5,2]
[2,5,4,8,7,10,9,11,12,6,3,1]=>[1,3,6,12,11,9,10,7,8,4,5,2]
[2,5,4,8,7,10,11,9,6,3,12,1]=>[1,12,3,6,9,11,10,7,8,4,5,2]
[2,5,4,8,7,10,11,9,6,12,3,1]=>[1,3,12,6,9,11,10,7,8,4,5,2]
[2,5,4,8,7,10,11,9,12,6,3,1]=>[1,3,6,12,9,11,10,7,8,4,5,2]
[2,5,4,8,7,10,11,12,9,6,3,1]=>[1,3,6,9,12,11,10,7,8,4,5,2]
[2,5,4,7,10,9,8,6,11,3,12,1]=>[1,12,3,11,6,8,9,10,7,4,5,2]
[2,5,4,7,10,9,8,6,11,12,3,1]=>[1,3,12,11,6,8,9,10,7,4,5,2]
[2,5,4,7,10,9,8,11,6,3,12,1]=>[1,12,3,6,11,8,9,10,7,4,5,2]
[2,5,4,7,10,9,8,11,6,12,3,1]=>[1,3,12,6,11,8,9,10,7,4,5,2]
[2,5,4,7,10,9,8,11,12,6,3,1]=>[1,3,6,12,11,8,9,10,7,4,5,2]
[2,5,4,7,10,9,11,8,6,3,12,1]=>[1,12,3,6,8,11,9,10,7,4,5,2]
[2,5,4,7,10,9,11,8,6,12,3,1]=>[1,3,12,6,8,11,9,10,7,4,5,2]
[2,5,4,7,10,9,11,8,12,6,3,1]=>[1,3,6,12,8,11,9,10,7,4,5,2]
[2,5,4,7,10,9,11,12,8,6,3,1]=>[1,3,6,8,12,11,9,10,7,4,5,2]
[2,5,4,7,9,11,10,8,6,3,12,1]=>[1,12,3,6,8,10,11,9,7,4,5,2]
[2,5,4,7,9,11,10,8,6,12,3,1]=>[1,3,12,6,8,10,11,9,7,4,5,2]
[2,5,4,7,9,11,10,8,12,6,3,1]=>[1,3,6,12,8,10,11,9,7,4,5,2]
[2,5,4,7,9,11,10,12,8,6,3,1]=>[1,3,6,8,12,10,11,9,7,4,5,2]
[2,5,4,7,9,11,12,10,8,6,3,1]=>[1,3,6,8,10,12,11,9,7,4,5,2]
[2,4,9,8,7,6,10,5,11,3,12,1]=>[1,12,3,11,5,10,6,7,8,9,4,2]
[2,4,9,8,7,6,10,5,11,12,3,1]=>[1,3,12,11,5,10,6,7,8,9,4,2]
[2,4,9,8,7,6,10,11,5,3,12,1]=>[1,12,3,5,11,10,6,7,8,9,4,2]
[2,4,9,8,7,6,10,11,5,12,3,1]=>[1,3,12,5,11,10,6,7,8,9,4,2]
[2,4,9,8,7,6,10,11,12,5,3,1]=>[1,3,5,12,11,10,6,7,8,9,4,2]
[2,4,8,7,6,10,9,5,11,3,12,1]=>[1,12,3,11,5,9,10,6,7,8,4,2]
[2,4,8,7,6,10,9,5,11,12,3,1]=>[1,3,12,11,5,9,10,6,7,8,4,2]
[2,4,8,7,6,10,9,11,5,3,12,1]=>[1,12,3,5,11,9,10,6,7,8,4,2]
[2,4,8,7,6,10,9,11,5,12,3,1]=>[1,3,12,5,11,9,10,6,7,8,4,2]
[2,4,8,7,6,10,9,11,12,5,3,1]=>[1,3,5,12,11,9,10,6,7,8,4,2]
[2,4,8,7,6,10,11,9,5,3,12,1]=>[1,12,3,5,9,11,10,6,7,8,4,2]
[2,4,8,7,6,10,11,9,5,12,3,1]=>[1,3,12,5,9,11,10,6,7,8,4,2]
[2,4,8,7,6,10,11,9,12,5,3,1]=>[1,3,5,12,9,11,10,6,7,8,4,2]
[2,4,8,7,6,10,11,12,9,5,3,1]=>[1,3,5,9,12,11,10,6,7,8,4,2]
[2,4,7,6,10,9,8,5,11,3,12,1]=>[1,12,3,11,5,8,9,10,6,7,4,2]
[2,4,7,6,10,9,8,5,11,12,3,1]=>[1,3,12,11,5,8,9,10,6,7,4,2]
[2,4,7,6,10,9,8,11,5,3,12,1]=>[1,12,3,5,11,8,9,10,6,7,4,2]
[2,4,7,6,10,9,8,11,5,12,3,1]=>[1,3,12,5,11,8,9,10,6,7,4,2]
[2,4,7,6,10,9,8,11,12,5,3,1]=>[1,3,5,12,11,8,9,10,6,7,4,2]
[2,4,7,6,10,9,11,8,5,3,12,1]=>[1,12,3,5,8,11,9,10,6,7,4,2]
[2,4,7,6,10,9,11,8,5,12,3,1]=>[1,3,12,5,8,11,9,10,6,7,4,2]
[2,4,7,6,10,9,11,8,12,5,3,1]=>[1,3,5,12,8,11,9,10,6,7,4,2]
[2,4,7,6,10,9,11,12,8,5,3,1]=>[1,3,5,8,12,11,9,10,6,7,4,2]
[2,4,7,6,9,11,10,8,5,3,12,1]=>[1,12,3,5,8,10,11,9,6,7,4,2]
[2,4,7,6,9,11,10,8,5,12,3,1]=>[1,3,12,5,8,10,11,9,6,7,4,2]
[2,4,7,6,9,11,10,8,12,5,3,1]=>[1,3,5,12,8,10,11,9,6,7,4,2]
[2,4,7,6,9,11,10,12,8,5,3,1]=>[1,3,5,8,12,10,11,9,6,7,4,2]
[2,4,7,6,9,11,12,10,8,5,3,1]=>[1,3,5,8,10,12,11,9,6,7,4,2]
[2,4,6,10,9,8,7,5,11,3,12,1]=>[1,12,3,11,5,7,8,9,10,6,4,2]
[2,4,6,10,9,8,7,5,11,12,3,1]=>[1,3,12,11,5,7,8,9,10,6,4,2]
[2,4,6,10,9,8,7,11,5,3,12,1]=>[1,12,3,5,11,7,8,9,10,6,4,2]
[2,4,6,10,9,8,7,11,5,12,3,1]=>[1,3,12,5,11,7,8,9,10,6,4,2]
[2,4,6,10,9,8,7,11,12,5,3,1]=>[1,3,5,12,11,7,8,9,10,6,4,2]
[2,4,6,10,9,8,11,7,5,3,12,1]=>[1,12,3,5,7,11,8,9,10,6,4,2]
[2,4,6,10,9,8,11,7,5,12,3,1]=>[1,3,12,5,7,11,8,9,10,6,4,2]
[2,4,6,10,9,8,11,7,12,5,3,1]=>[1,3,5,12,7,11,8,9,10,6,4,2]
[2,4,6,10,9,8,11,12,7,5,3,1]=>[1,3,5,7,12,11,8,9,10,6,4,2]
[2,4,6,9,8,11,10,7,5,3,12,1]=>[1,12,3,5,7,10,11,8,9,6,4,2]
[2,4,6,9,8,11,10,7,5,12,3,1]=>[1,3,12,5,7,10,11,8,9,6,4,2]
[2,4,6,9,8,11,10,7,12,5,3,1]=>[1,3,5,12,7,10,11,8,9,6,4,2]
[2,4,6,9,8,11,10,12,7,5,3,1]=>[1,3,5,7,12,10,11,8,9,6,4,2]
[2,4,6,9,8,11,12,10,7,5,3,1]=>[1,3,5,7,10,12,11,8,9,6,4,2]
[2,4,6,8,11,10,9,7,5,3,12,1]=>[1,12,3,5,7,9,10,11,8,6,4,2]
[2,4,6,8,11,10,9,7,5,12,3,1]=>[1,3,12,5,7,9,10,11,8,6,4,2]
[2,4,6,8,11,10,9,7,12,5,3,1]=>[1,3,5,12,7,9,10,11,8,6,4,2]
[2,4,6,8,11,10,9,12,7,5,3,1]=>[1,3,5,7,12,9,10,11,8,6,4,2]
[2,4,6,8,11,10,12,9,7,5,3,1]=>[1,3,5,7,9,12,10,11,8,6,4,2]
[2,4,6,8,10,12,11,9,7,5,3,1]=>[1,3,5,7,9,11,12,10,8,6,4,2]
[1,7,10,5,9,11,12,6,3,8,4,2]=>[2,4,8,3,6,12,11,9,5,10,7,1]
[1,7,10,12,6,3,8,4,2,5,9,11]=>[11,9,5,2,4,8,3,6,12,10,7,1]
[1,7,10,5,9,4,2,3,8,11,12,6]=>[6,12,11,8,3,2,4,9,5,10,7,1]
[1,7,10,12,6,3,8,11,5,9,4,2]=>[2,4,9,5,11,8,3,6,12,10,7,1]
[1,7,10,4,2,3,8,11,5,9,12,6]=>[6,12,9,5,11,8,3,2,4,10,7,1]
[1,7,3,8,4,2,5,9,11,12,6,10]=>[10,6,12,11,9,5,2,4,8,3,7,1]
[1,7,3,8,4,2,5,9,11,6,10,12]=>[12,10,6,11,9,5,2,4,8,3,7,1]
[1,7,3,8,11,12,6,10,5,9,4,2]=>[2,4,9,5,10,6,12,11,8,3,7,1]
[1,7,3,8,11,5,9,4,2,6,10,12]=>[12,10,6,2,4,9,5,11,8,3,7,1]
[1,7,3,8,11,5,9,12,6,10,4,2]=>[2,4,10,6,12,9,5,11,8,3,7,1]
[1,7,11,12,6,10,5,9,4,2,3,8]=>[8,3,2,4,9,5,10,6,12,11,7,1]
[1,7,11,5,9,4,2,3,8,6,10,12]=>[12,10,6,8,3,2,4,9,5,11,7,1]
[1,7,11,5,9,12,6,10,4,2,3,8]=>[8,3,2,4,10,6,12,9,5,11,7,1]
[1,7,11,5,9,3,8,12,6,10,4,2]=>[2,4,10,6,12,8,3,9,5,11,7,1]
[1,7,10,5,2,3,8,4,9,11,12,6]=>[6,12,11,9,4,8,3,2,5,10,7,1]
[1,7,10,12,6,3,8,4,9,11,5,2]=>[2,5,11,9,4,8,3,6,12,10,7,1]
[1,7,10,5,2,3,8,11,12,6,4,9]=>[9,4,6,12,11,8,3,2,5,10,7,1]
[1,7,10,12,6,3,8,11,5,2,4,9]=>[9,4,2,5,11,8,3,6,12,10,7,1]
[1,7,10,4,9,12,6,3,8,11,5,2]=>[2,5,11,8,3,6,12,9,4,10,7,1]
[1,7,3,8,4,9,11,12,6,10,5,2]=>[2,5,10,6,12,11,9,4,8,3,7,1]
[1,7,3,8,4,9,11,5,2,6,10,12]=>[12,10,6,2,5,11,9,4,8,3,7,1]
[1,7,3,8,11,12,6,10,5,2,4,9]=>[9,4,2,5,10,6,12,11,8,3,7,1]
[1,7,3,8,11,5,2,4,9,6,10,12]=>[12,10,6,9,4,2,5,11,8,3,7,1]
[1,7,3,8,11,5,2,4,9,12,6,10]=>[10,6,12,9,4,2,5,11,8,3,7,1]
[1,7,11,12,6,10,5,2,3,8,4,9]=>[9,4,8,3,2,5,10,6,12,11,7,1]
[1,7,11,5,2,3,8,4,9,6,10,12]=>[12,10,6,9,4,8,3,2,5,11,7,1]
[1,7,11,5,2,3,8,4,9,12,6,10]=>[10,6,12,9,4,8,3,2,5,11,7,1]
[1,7,11,5,2,3,8,12,6,10,4,9]=>[9,4,10,6,12,8,3,2,5,11,7,1]
[1,7,3,8,4,9,11,12,6,2,5,10]=>[10,5,2,6,12,11,9,4,8,3,7,1]
[1,7,3,8,4,9,11,5,10,12,6,2]=>[2,6,12,10,5,11,9,4,8,3,7,1]
[1,7,3,8,11,12,6,2,4,9,5,10]=>[10,5,9,4,2,6,12,11,8,3,7,1]
[1,7,3,8,11,5,10,12,6,2,4,9]=>[9,4,2,6,12,10,5,11,8,3,7,1]
[1,7,3,8,11,5,10,4,9,12,6,2]=>[2,6,12,9,4,10,5,11,8,3,7,1]
[1,7,11,12,6,2,3,8,4,9,5,10]=>[10,5,9,4,8,3,2,6,12,11,7,1]
[1,7,11,5,10,12,6,2,3,8,4,9]=>[9,4,8,3,2,6,12,10,5,11,7,1]
[1,7,11,5,10,4,9,12,6,2,3,8]=>[8,3,2,6,12,9,4,10,5,11,7,1]
[1,7,11,5,10,4,9,3,8,12,6,2]=>[2,6,12,8,3,9,4,10,5,11,7,1]
[1,7,2,3,8,4,9,5,10,6,11,12]=>[12,11,6,10,5,9,4,8,3,2,7,1]
[1,7,2,3,8,4,9,5,10,12,6,11]=>[11,6,12,10,5,9,4,8,3,2,7,1]
[1,7,2,3,8,4,9,12,6,11,5,10]=>[10,5,11,6,12,9,4,8,3,2,7,1]
[1,7,2,3,8,12,6,11,5,10,4,9]=>[9,4,10,5,11,6,12,8,3,2,7,1]
[1,7,10,5,9,11,12,6,3,2,8,4]=>[4,8,2,3,6,12,11,9,5,10,7,1]
[1,7,10,12,6,3,2,8,4,5,9,11]=>[11,9,5,4,8,2,3,6,12,10,7,1]
[1,7,10,5,9,4,2,8,11,12,6,3]=>[3,6,12,11,8,2,4,9,5,10,7,1]
[1,7,10,12,6,3,2,8,11,5,9,4]=>[4,9,5,11,8,2,3,6,12,10,7,1]
[1,7,10,4,2,8,11,5,9,12,6,3]=>[3,6,12,9,5,11,8,2,4,10,7,1]
[1,7,3,2,8,4,5,9,11,12,6,10]=>[10,6,12,11,9,5,4,8,2,3,7,1]
[1,7,3,2,8,4,5,9,11,6,10,12]=>[12,10,6,11,9,5,4,8,2,3,7,1]
[1,7,3,2,8,11,12,6,10,5,9,4]=>[4,9,5,10,6,12,11,8,2,3,7,1]
[1,7,3,2,8,11,5,9,4,6,10,12]=>[12,10,6,4,9,5,11,8,2,3,7,1]
[1,7,3,2,8,11,5,9,12,6,10,4]=>[4,10,6,12,9,5,11,8,2,3,7,1]
[1,7,11,12,6,10,5,9,4,2,8,3]=>[3,8,2,4,9,5,10,6,12,11,7,1]
[1,7,11,5,9,4,2,8,3,6,10,12]=>[12,10,6,3,8,2,4,9,5,11,7,1]
[1,7,11,5,9,12,6,10,4,2,8,3]=>[3,8,2,4,10,6,12,9,5,11,7,1]
[1,7,11,5,9,3,2,8,12,6,10,4]=>[4,10,6,12,8,2,3,9,5,11,7,1]
[1,7,10,5,2,8,4,9,11,12,6,3]=>[3,6,12,11,9,4,8,2,5,10,7,1]
[1,7,10,12,6,3,2,8,4,9,11,5]=>[5,11,9,4,8,2,3,6,12,10,7,1]
[1,7,10,5,2,8,11,12,6,3,4,9]=>[9,4,3,6,12,11,8,2,5,10,7,1]
[1,7,10,12,6,3,2,8,11,5,4,9]=>[9,4,5,11,8,2,3,6,12,10,7,1]
[1,7,10,4,9,12,6,3,2,8,11,5]=>[5,11,8,2,3,6,12,9,4,10,7,1]
[1,7,3,2,8,4,9,11,12,6,10,5]=>[5,10,6,12,11,9,4,8,2,3,7,1]
[1,7,3,2,8,4,9,11,5,6,10,12]=>[12,10,6,5,11,9,4,8,2,3,7,1]
[1,7,3,2,8,11,12,6,10,5,4,9]=>[9,4,5,10,6,12,11,8,2,3,7,1]
[1,7,3,2,8,11,5,4,9,6,10,12]=>[12,10,6,9,4,5,11,8,2,3,7,1]
[1,7,3,2,8,11,5,4,9,12,6,10]=>[10,6,12,9,4,5,11,8,2,3,7,1]
[1,7,11,12,6,10,5,2,8,3,4,9]=>[9,4,3,8,2,5,10,6,12,11,7,1]
[1,7,11,5,2,8,3,4,9,6,10,12]=>[12,10,6,9,4,3,8,2,5,11,7,1]
[1,7,11,5,2,8,3,4,9,12,6,10]=>[10,6,12,9,4,3,8,2,5,11,7,1]
[1,7,11,5,2,8,12,6,10,4,9,3]=>[3,9,4,10,6,12,8,2,5,11,7,1]
[1,7,3,2,8,4,9,11,12,6,5,10]=>[10,5,6,12,11,9,4,8,2,3,7,1]
[1,7,3,2,8,4,9,11,5,10,12,6]=>[6,12,10,5,11,9,4,8,2,3,7,1]
[1,7,3,2,8,11,12,6,4,9,5,10]=>[10,5,9,4,6,12,11,8,2,3,7,1]
[1,7,3,2,8,11,5,10,12,6,4,9]=>[9,4,6,12,10,5,11,8,2,3,7,1]
[1,7,3,2,8,11,5,10,4,9,12,6]=>[6,12,9,4,10,5,11,8,2,3,7,1]
[1,7,11,12,6,2,8,3,4,9,5,10]=>[10,5,9,4,3,8,2,6,12,11,7,1]
[1,7,11,5,10,12,6,2,8,3,4,9]=>[9,4,3,8,2,6,12,10,5,11,7,1]
[1,7,11,5,10,4,9,12,6,2,8,3]=>[3,8,2,6,12,9,4,10,5,11,7,1]
[1,7,11,5,10,4,9,3,2,8,12,6]=>[6,12,8,2,3,9,4,10,5,11,7,1]
[1,7,2,8,3,4,9,5,10,6,11,12]=>[12,11,6,10,5,9,4,3,8,2,7,1]
[1,7,2,8,3,4,9,5,10,12,6,11]=>[11,6,12,10,5,9,4,3,8,2,7,1]
[1,7,2,8,3,4,9,12,6,11,5,10]=>[10,5,11,6,12,9,4,3,8,2,7,1]
[1,7,2,8,12,6,11,5,10,4,9,3]=>[3,9,4,10,5,11,6,12,8,2,7,1]
[1,7,12,6,11,5,10,4,9,3,2,8]=>[8,2,3,9,4,10,5,11,6,12,7,1]
[1,7,10,5,2,8,4,3,9,11,12,6]=>[6,12,11,9,3,4,8,2,5,10,7,1]
[1,7,10,12,6,3,9,11,5,2,8,4]=>[4,8,2,5,11,9,3,6,12,10,7,1]
[1,7,10,5,2,8,11,12,6,3,9,4]=>[4,9,3,6,12,11,8,2,5,10,7,1]
[1,7,10,12,6,3,9,4,2,8,11,5]=>[5,11,8,2,4,9,3,6,12,10,7,1]
[1,7,10,4,2,8,11,5,3,9,12,6]=>[6,12,9,3,5,11,8,2,4,10,7,1]
[1,7,3,9,11,12,6,10,5,2,8,4]=>[4,8,2,5,10,6,12,11,9,3,7,1]
[1,7,3,9,11,5,2,8,4,6,10,12]=>[12,10,6,4,8,2,5,11,9,3,7,1]
[1,7,3,9,4,2,8,11,12,6,10,5]=>[5,10,6,12,11,8,2,4,9,3,7,1]
[1,7,3,9,4,2,8,11,5,6,10,12]=>[12,10,6,5,11,8,2,4,9,3,7,1]
[1,7,3,9,12,6,10,4,2,8,11,5]=>[5,11,8,2,4,10,6,12,9,3,7,1]
[1,7,11,12,6,10,5,2,8,3,9,4]=>[4,9,3,8,2,5,10,6,12,11,7,1]
[1,7,11,5,2,8,3,9,4,6,10,12]=>[12,10,6,4,9,3,8,2,5,11,7,1]
[1,7,11,5,2,8,3,9,12,6,10,4]=>[4,10,6,12,9,3,8,2,5,11,7,1]
[1,7,11,5,2,8,12,6,10,4,3,9]=>[9,3,4,10,6,12,8,2,5,11,7,1]
[1,7,3,9,11,12,6,2,8,4,5,10]=>[10,5,4,8,2,6,12,11,9,3,7,1]
[1,7,3,9,11,5,10,12,6,2,8,4]=>[4,8,2,6,12,10,5,11,9,3,7,1]
[1,7,3,9,4,2,8,11,12,6,5,10]=>[10,5,6,12,11,8,2,4,9,3,7,1]
[1,7,3,9,4,2,8,11,5,10,12,6]=>[6,12,10,5,11,8,2,4,9,3,7,1]
[1,7,3,9,12,6,2,8,11,5,10,4]=>[4,10,5,11,8,2,6,12,9,3,7,1]
[1,7,11,12,6,2,8,3,9,4,5,10]=>[10,5,4,9,3,8,2,6,12,11,7,1]
[1,7,11,5,10,12,6,2,8,3,9,4]=>[4,9,3,8,2,6,12,10,5,11,7,1]
[1,7,11,5,10,4,2,8,3,9,12,6]=>[6,12,9,3,8,2,4,10,5,11,7,1]
[1,7,11,5,10,4,2,8,12,6,3,9]=>[9,3,6,12,8,2,4,10,5,11,7,1]
[1,7,2,8,3,9,4,5,10,6,11,12]=>[12,11,6,10,5,4,9,3,8,2,7,1]
[1,7,2,8,3,9,4,5,10,12,6,11]=>[11,6,12,10,5,4,9,3,8,2,7,1]
[1,7,2,8,3,9,12,6,11,5,10,4]=>[4,10,5,11,6,12,9,3,8,2,7,1]
[1,7,2,8,12,6,11,5,10,4,3,9]=>[9,3,4,10,5,11,6,12,8,2,7,1]
[1,7,12,6,11,5,10,4,2,8,3,9]=>[9,3,8,2,4,10,5,11,6,12,7,1]
[1,7,3,9,11,12,6,2,8,4,10,5]=>[5,10,4,8,2,6,12,11,9,3,7,1]
[1,7,3,9,11,5,2,8,4,10,12,6]=>[6,12,10,4,8,2,5,11,9,3,7,1]
[1,7,3,9,4,10,5,2,8,11,12,6]=>[6,12,11,8,2,5,10,4,9,3,7,1]
[1,7,3,9,4,10,12,6,2,8,11,5]=>[5,11,8,2,6,12,10,4,9,3,7,1]
[1,7,3,9,12,6,2,8,11,5,4,10]=>[10,4,5,11,8,2,6,12,9,3,7,1]
[1,7,11,12,6,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,6,12,11,7,1]
[1,7,11,5,2,8,3,9,4,10,12,6]=>[6,12,10,4,9,3,8,2,5,11,7,1]
[1,7,11,5,2,8,3,9,12,6,4,10]=>[10,4,6,12,9,3,8,2,5,11,7,1]
[1,7,11,5,2,8,12,6,3,9,4,10]=>[10,4,9,3,6,12,8,2,5,11,7,1]
[1,7,2,8,3,9,4,10,5,6,11,12]=>[12,11,6,5,10,4,9,3,8,2,7,1]
[1,7,2,8,3,9,4,10,12,6,11,5]=>[5,11,6,12,10,4,9,3,8,2,7,1]
[1,7,2,8,3,9,12,6,11,5,4,10]=>[10,4,5,11,6,12,9,3,8,2,7,1]
[1,7,2,8,12,6,11,5,3,9,4,10]=>[10,4,9,3,5,11,6,12,8,2,7,1]
[1,7,12,6,11,5,2,8,3,9,4,10]=>[10,4,9,3,8,2,5,11,6,12,7,1]
[1,7,2,8,3,9,4,10,12,6,5,11]=>[11,5,6,12,10,4,9,3,8,2,7,1]
[1,7,2,8,3,9,12,6,4,10,5,11]=>[11,5,10,4,6,12,9,3,8,2,7,1]
[1,7,2,8,12,6,3,9,4,10,5,11]=>[11,5,10,4,9,3,6,12,8,2,7,1]
[1,7,12,6,2,8,3,9,4,10,5,11]=>[11,5,10,4,9,3,8,2,6,12,7,1]
[2,1,4,3,6,5,11,12,9,7,10,8]=>[8,10,7,9,12,11,5,6,3,4,1,2]
[2,1,4,3,9,10,7,5,8,6,12,11]=>[11,12,6,8,5,7,10,9,3,4,1,2]
[2,1,4,3,11,9,7,12,6,5,10,8]=>[8,10,5,6,12,7,9,11,3,4,1,2]
[2,1,4,3,12,10,7,5,6,9,11,8]=>[8,11,9,6,5,7,10,12,3,4,1,2]
[2,1,4,3,11,12,6,8,9,5,10,7]=>[7,10,5,9,8,6,12,11,3,4,1,2]
[2,1,4,3,11,5,12,8,6,10,9,7]=>[7,9,10,6,8,12,5,11,3,4,1,2]
[2,1,6,3,5,4,11,12,9,7,10,8]=>[8,10,7,9,12,11,4,5,3,6,1,2]
[2,1,7,8,5,3,6,4,10,9,12,11]=>[11,12,9,10,4,6,3,5,8,7,1,2]
[2,1,7,8,5,3,6,4,12,9,11,10]=>[10,11,9,12,4,6,3,5,8,7,1,2]
[2,1,9,7,5,10,4,3,8,6,12,11]=>[11,12,6,8,3,4,10,5,7,9,1,2]
[2,1,11,7,5,9,4,12,6,3,10,8]=>[8,10,3,6,12,4,9,5,7,11,1,2]
[2,1,12,7,5,10,4,3,6,9,11,8]=>[8,11,9,6,3,4,10,5,7,12,1,2]
[2,1,10,8,5,3,4,7,9,6,12,11]=>[11,12,6,9,7,4,3,5,8,10,1,2]
[2,1,11,8,5,12,6,4,9,3,10,7]=>[7,10,3,9,4,6,12,5,8,11,1,2]
[2,1,8,11,5,3,12,6,4,10,9,7]=>[7,9,10,4,6,12,3,5,11,8,1,2]
[2,1,9,12,5,3,4,6,8,10,11,7]=>[7,11,10,8,6,4,3,5,12,9,1,2]
[2,1,9,10,4,6,7,3,8,5,12,11]=>[11,12,5,8,3,7,6,4,10,9,1,2]
[2,1,11,9,4,6,7,12,5,3,10,8]=>[8,10,3,5,12,7,6,4,9,11,1,2]
[2,1,12,10,4,6,7,3,5,9,11,8]=>[8,11,9,5,3,7,6,4,10,12,1,2]
[2,1,9,3,10,6,4,8,7,5,12,11]=>[11,12,5,7,8,4,6,10,3,9,1,2]
[2,1,11,9,12,6,4,8,7,3,10,5]=>[5,10,3,7,8,4,6,12,9,11,1,2]
[2,1,11,3,12,6,10,8,4,7,9,5]=>[5,9,7,4,8,10,6,12,3,11,1,2]
[2,1,12,3,10,6,4,5,9,8,11,7]=>[7,11,8,9,5,4,6,10,3,12,1,2]
[2,1,11,12,4,5,7,8,9,3,10,6]=>[6,10,3,9,8,7,5,4,12,11,1,2]
[2,1,11,3,12,5,7,8,4,10,9,6]=>[6,9,10,4,8,7,5,12,3,11,1,2]
[2,1,11,3,4,12,7,5,9,10,8,6]=>[6,8,10,9,5,7,12,4,3,11,1,2]
[4,1,3,2,6,5,11,12,9,7,10,8]=>[8,10,7,9,12,11,5,6,2,3,1,4]
[4,1,3,2,9,10,7,5,8,6,12,11]=>[11,12,6,8,5,7,10,9,2,3,1,4]
[4,1,3,2,11,9,7,12,6,5,10,8]=>[8,10,5,6,12,7,9,11,2,3,1,4]
[4,1,3,2,12,10,7,5,6,9,11,8]=>[8,11,9,6,5,7,10,12,2,3,1,4]
[4,1,3,2,11,12,6,8,9,5,10,7]=>[7,10,5,9,8,6,12,11,2,3,1,4]
[4,1,3,2,11,5,12,8,6,10,9,7]=>[7,9,10,6,8,12,5,11,2,3,1,4]
[5,6,3,1,4,2,8,7,10,9,12,11]=>[11,12,9,10,7,8,2,4,1,3,6,5]
[5,6,3,1,4,2,8,7,12,9,11,10]=>[10,11,9,12,7,8,2,4,1,3,6,5]
[5,6,3,1,4,2,10,7,9,8,12,11]=>[11,12,8,9,7,10,2,4,1,3,6,5]
[5,6,3,1,4,2,11,12,9,7,10,8]=>[8,10,7,9,12,11,2,4,1,3,6,5]
[5,6,3,1,4,2,12,7,8,10,11,9]=>[9,11,10,8,7,12,2,4,1,3,6,5]
[7,5,3,8,2,1,6,4,10,9,12,11]=>[11,12,9,10,4,6,1,2,8,3,5,7]
[7,5,3,8,2,1,6,4,12,9,11,10]=>[10,11,9,12,4,6,1,2,8,3,5,7]
[9,5,3,7,2,10,4,1,8,6,12,11]=>[11,12,6,8,1,4,10,2,7,3,5,9]
[11,5,3,7,2,9,4,12,6,1,10,8]=>[8,10,1,6,12,4,9,2,7,3,5,11]
[12,5,3,7,2,10,4,1,6,9,11,8]=>[8,11,9,6,1,4,10,2,7,3,5,12]
[10,5,3,8,2,1,4,7,9,6,12,11]=>[11,12,6,9,7,4,1,2,8,3,5,10]
[11,5,3,8,2,12,6,4,9,1,10,7]=>[7,10,1,9,4,6,12,2,8,3,5,11]
[8,5,3,11,2,1,12,6,4,10,9,7]=>[7,9,10,4,6,12,1,2,11,3,5,8]
[9,5,3,12,2,1,4,6,8,10,11,7]=>[7,11,10,8,6,4,1,2,12,3,5,9]
[8,6,3,1,2,5,7,4,10,9,12,11]=>[11,12,9,10,4,7,5,2,1,3,6,8]
[8,6,3,1,2,5,7,4,12,9,11,10]=>[10,11,9,12,4,7,5,2,1,3,6,8]
[9,6,3,10,4,2,7,1,8,5,12,11]=>[11,12,5,8,1,7,2,4,10,3,6,9]
[11,6,3,9,4,2,7,12,5,1,10,8]=>[8,10,1,5,12,7,2,4,9,3,6,11]
[12,6,3,10,4,2,7,1,5,9,11,8]=>[8,11,9,5,1,7,2,4,10,3,6,12]
[6,9,3,1,10,4,2,8,7,5,12,11]=>[11,12,5,7,8,2,4,10,1,3,9,6]
[11,6,3,9,12,2,4,8,7,1,10,5]=>[5,10,1,7,8,4,2,12,9,3,6,11]
[6,11,3,1,12,4,10,8,2,7,9,5]=>[5,9,7,2,8,10,4,12,1,3,11,6]
[6,12,3,1,10,4,2,5,9,8,11,7]=>[7,11,8,9,5,2,4,10,1,3,12,6]
[7,10,3,1,2,4,6,8,9,5,12,11]=>[11,12,5,9,8,6,4,2,1,3,10,7]
[11,7,3,12,4,5,2,8,9,1,10,6]=>[6,10,1,9,8,2,5,4,12,3,7,11]
[7,11,3,1,12,5,4,8,2,10,9,6]=>[6,9,10,2,8,4,5,12,1,3,11,7]
[11,7,3,1,2,12,5,4,9,10,8,6]=>[6,8,10,9,4,5,12,2,1,3,7,11]
[12,8,3,1,2,4,5,7,9,10,11,6]=>[6,11,10,9,7,5,4,2,1,3,8,12]
[6,1,2,4,5,3,11,12,9,7,10,8]=>[8,10,7,9,12,11,3,5,4,2,1,6]
[7,8,2,4,5,1,6,3,10,9,12,11]=>[11,12,9,10,3,6,1,5,4,2,8,7]
[7,8,2,4,5,1,6,3,12,9,11,10]=>[10,11,9,12,3,6,1,5,4,2,8,7]
[9,7,2,4,5,10,3,1,8,6,12,11]=>[11,12,6,8,1,3,10,5,4,2,7,9]
[11,7,2,4,5,9,3,12,6,1,10,8]=>[8,10,1,6,12,3,9,5,4,2,7,11]
[12,7,2,4,5,10,3,1,6,9,11,8]=>[8,11,9,6,1,3,10,5,4,2,7,12]
[10,8,2,4,5,1,3,7,9,6,12,11]=>[11,12,6,9,7,3,1,5,4,2,8,10]
[11,8,2,4,5,12,6,3,9,1,10,7]=>[7,10,1,9,3,6,12,5,4,2,8,11]
[8,11,2,4,5,1,12,6,3,10,9,7]=>[7,9,10,3,6,12,1,5,4,2,11,8]
[9,12,2,4,5,1,3,6,8,10,11,7]=>[7,11,10,8,6,3,1,5,4,2,12,9]
[7,1,8,4,2,6,5,3,10,9,12,11]=>[11,12,9,10,3,5,6,2,4,8,1,7]
[7,1,8,4,2,6,5,3,12,9,11,10]=>[10,11,9,12,3,5,6,2,4,8,1,7]
[9,7,10,4,2,6,5,1,8,3,12,11]=>[11,12,3,8,1,5,6,2,4,10,7,9]
[11,7,9,4,2,6,5,12,3,1,10,8]=>[8,10,1,3,12,5,6,2,4,9,7,11]
[12,7,10,4,2,6,5,1,3,9,11,8]=>[8,11,9,3,1,5,6,2,4,10,7,12]
[9,1,10,4,8,6,2,5,7,3,12,11]=>[11,12,3,7,5,2,6,8,4,10,1,9]
[11,9,12,4,8,6,2,5,7,1,10,3]=>[3,10,1,7,5,2,6,8,4,12,9,11]
[11,1,8,4,12,6,10,3,2,7,9,5]=>[5,9,7,2,3,10,6,12,4,8,1,11]
[9,1,10,4,12,6,2,3,7,8,11,5]=>[5,11,8,7,3,2,6,12,4,10,1,9]
[10,1,8,4,2,3,7,6,9,5,12,11]=>[11,12,5,9,6,7,3,2,4,8,1,10]
[11,12,8,4,2,3,7,6,9,1,10,5]=>[5,10,1,9,6,7,3,2,4,8,12,11]
[11,1,8,4,12,5,7,3,2,10,9,6]=>[6,9,10,2,3,7,5,12,4,8,1,11]
[12,1,11,4,2,9,7,3,6,10,8,5]=>[5,8,10,6,3,7,9,2,4,11,1,12]
[9,1,12,4,2,3,5,8,7,10,11,6]=>[6,11,10,7,8,5,3,2,4,12,1,9]
[9,10,2,3,5,6,7,1,8,4,12,11]=>[11,12,4,8,1,7,6,5,3,2,10,9]
[11,9,2,3,5,6,7,12,4,1,10,8]=>[8,10,1,4,12,7,6,5,3,2,9,11]
[12,10,2,3,5,6,7,1,4,9,11,8]=>[8,11,9,4,1,7,6,5,3,2,10,12]
[9,1,10,3,5,6,2,8,7,4,12,11]=>[11,12,4,7,8,2,6,5,3,10,1,9]
[11,9,12,3,5,6,2,8,7,1,10,4]=>[4,10,1,7,8,2,6,5,3,12,9,11]
[11,1,12,3,5,6,10,8,2,7,9,4]=>[4,9,7,2,8,10,6,5,3,12,1,11]
[12,1,10,3,5,6,2,4,9,8,11,7]=>[7,11,8,9,4,2,6,5,3,10,1,12]
[9,1,2,10,5,3,7,8,6,4,12,11]=>[11,12,4,6,8,7,3,5,10,2,1,9]
[11,9,2,12,5,3,7,8,6,1,10,4]=>[4,10,1,6,8,7,3,5,12,2,9,11]
[10,1,11,12,5,3,7,8,2,9,6,4]=>[4,6,9,2,8,7,3,5,12,11,1,10]
[11,1,2,12,5,10,7,3,9,6,8,4]=>[4,8,6,9,3,7,10,5,12,2,1,11]
[12,1,2,10,5,3,4,8,9,7,11,6]=>[6,11,7,9,8,4,3,5,10,2,1,12]
[11,12,2,3,4,6,7,8,9,1,10,5]=>[5,10,1,9,8,7,6,4,3,2,12,11]
[11,1,12,3,4,6,7,8,2,10,9,5]=>[5,9,10,2,8,7,6,4,3,12,1,11]
[11,1,2,12,4,6,7,3,9,10,8,5]=>[5,8,10,9,3,7,6,4,12,2,1,11]
[11,1,2,3,12,6,4,8,9,10,7,5]=>[5,7,10,9,8,4,6,12,3,2,1,11]
[2,3,4,5,6,7,8,9,12,10,1,11]=>[11,1,10,12,9,8,7,6,5,4,3,2]
[1,11,9,7,5,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,5,7,9,11,1]
[3,11,9,7,5,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,5,7,9,11,3]
[3,1,11,9,7,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,7,9,11,1,3]
[1,3,11,9,7,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,7,9,11,3,1]
[5,11,9,7,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,7,9,11,5]
[5,1,11,9,7,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,7,9,11,1,5]
[5,3,11,9,7,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,7,9,11,3,5]
[5,3,1,11,9,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,9,11,1,3,5]
[1,5,3,11,9,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,9,11,3,5,1]
[3,5,11,9,7,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,7,9,11,5,3]
[3,5,1,11,9,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,9,11,1,5,3]
[3,1,5,11,9,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,9,11,5,1,3]
[1,3,5,11,9,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,9,11,5,3,1]
[7,11,9,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,9,11,7]
[7,1,11,9,5,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,5,9,11,1,7]
[7,3,11,9,5,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,5,9,11,3,7]
[7,3,1,11,9,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,9,11,1,3,7]
[1,7,3,11,9,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,9,11,3,7,1]
[7,5,11,9,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,9,11,5,7]
[7,5,1,11,9,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,9,11,1,5,7]
[7,5,3,11,9,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,9,11,3,5,7]
[7,5,3,1,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,1,3,5,7]
[1,7,5,3,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,3,5,7,1]
[3,7,5,11,9,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,9,11,5,7,3]
[3,7,5,1,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,1,5,7,3]
[3,1,7,5,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,5,7,1,3]
[1,3,7,5,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,5,7,3,1]
[5,7,11,9,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,9,11,7,5]
[5,7,1,11,9,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,9,11,1,7,5]
[5,7,3,11,9,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,9,11,3,7,5]
[5,7,3,1,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,1,3,7,5]
[5,1,7,3,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,3,7,1,5]
[5,3,7,11,9,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,9,11,7,3,5]
[5,3,7,1,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,1,7,3,5]
[5,3,1,7,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,7,1,3,5]
[1,5,3,7,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,7,3,5,1]
[3,5,7,11,9,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,9,11,7,5,3]
[3,5,7,1,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,1,7,5,3]
[3,5,1,7,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,7,1,5,3]
[3,1,5,7,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,7,5,1,3]
[1,3,5,7,11,9,12,10,8,6,4,2]=>[2,4,6,8,10,12,9,11,7,5,3,1]
[9,11,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,11,9]
[9,1,11,7,5,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,5,7,11,1,9]
[9,3,11,7,5,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,5,7,11,3,9]
[9,3,1,11,7,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,7,11,1,3,9]
[1,9,3,11,7,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,7,11,3,9,1]
[9,5,11,7,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,7,11,5,9]
[9,5,1,11,7,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,7,11,1,5,9]
[9,5,3,11,7,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,7,11,3,5,9]
[9,5,3,1,11,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,11,1,3,5,9]
[1,9,5,3,11,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,11,3,5,9,1]
[3,9,5,11,7,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,7,11,5,9,3]
[3,9,5,1,11,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,11,1,5,9,3]
[3,1,9,5,11,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,11,5,9,1,3]
[1,3,9,5,11,7,12,10,8,6,4,2]=>[2,4,6,8,10,12,7,11,5,9,3,1]
[9,7,11,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,11,7,9]
[9,7,1,11,5,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,5,11,1,7,9]
[9,7,3,11,5,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,5,11,3,7,9]
[9,7,3,1,11,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,11,1,3,7,9]
[1,9,7,3,11,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,11,3,7,9,1]
[9,7,5,11,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,11,5,7,9]
[9,7,5,1,11,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,11,1,5,7,9]
[9,7,5,3,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,3,5,7,9]
[9,7,5,3,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,3,5,7,9]
[1,9,7,5,3,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,3,5,7,9,1]
[3,9,7,5,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,5,7,9,3]
[3,9,7,5,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,5,7,9,3]
[3,1,9,7,5,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,5,7,9,1,3]
[1,3,9,7,5,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,5,7,9,3,1]
[5,9,7,11,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,11,7,9,5]
[5,9,7,1,11,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,11,1,7,9,5]
[5,9,7,3,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,3,7,9,5]
[5,9,7,3,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,3,7,9,5]
[5,1,9,7,3,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,3,7,9,1,5]
[5,3,9,7,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,7,9,3,5]
[5,3,9,7,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,7,9,3,5]
[5,3,1,9,7,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,7,9,1,3,5]
[1,5,3,9,7,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,7,9,3,5,1]
[3,5,9,7,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,7,9,5,3]
[3,5,9,7,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,7,9,5,3]
[3,5,1,9,7,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,7,9,1,5,3]
[3,1,5,9,7,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,7,9,5,1,3]
[1,3,5,9,7,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,7,9,5,3,1]
[7,9,11,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,11,9,7]
[7,9,1,11,5,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,5,11,1,9,7]
[7,9,3,11,5,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,5,11,3,9,7]
[7,9,3,1,11,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,11,1,3,9,7]
[7,1,9,3,11,5,12,10,8,6,4,2]=>[2,4,6,8,10,12,5,11,3,9,1,7]
[7,9,5,11,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,11,5,9,7]
[7,9,5,1,11,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,11,1,5,9,7]
[7,9,5,3,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,3,5,9,7]
[7,9,5,3,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,3,5,9,7]
[7,1,9,5,3,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,3,5,9,1,7]
[7,3,9,5,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,5,9,3,7]
[7,3,9,5,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,5,9,3,7]
[7,3,1,9,5,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,5,9,1,3,7]
[1,7,3,9,5,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,5,9,3,7,1]
[7,5,9,11,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,11,9,5,7]
[7,5,9,1,11,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,11,1,9,5,7]
[7,5,9,3,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,3,9,5,7]
[7,5,9,3,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,3,9,5,7]
[7,5,1,9,3,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,3,9,1,5,7]
[7,5,3,9,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,9,3,5,7]
[7,5,3,9,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,9,3,5,7]
[7,5,3,1,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,1,3,5,7]
[1,7,5,3,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,3,5,7,1]
[3,7,5,9,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,9,5,7,3]
[3,7,5,9,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,9,5,7,3]
[3,7,5,1,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,1,5,7,3]
[3,1,7,5,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,5,7,1,3]
[1,3,7,5,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,5,7,3,1]
[5,7,9,11,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,11,9,7,5]
[5,7,9,1,11,3,12,10,8,6,4,2]=>[2,4,6,8,10,12,3,11,1,9,7,5]
[5,7,9,3,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,3,9,7,5]
[5,7,9,3,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,3,9,7,5]
[5,7,1,9,3,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,3,9,1,7,5]
[5,7,3,9,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,9,3,7,5]
[5,7,3,9,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,9,3,7,5]
[5,7,3,1,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,1,3,7,5]
[5,1,7,3,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,3,7,1,5]
[5,3,7,9,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,9,7,3,5]
[5,3,7,9,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,9,7,3,5]
[5,3,7,1,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,1,7,3,5]
[5,3,1,7,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,7,1,3,5]
[1,5,3,7,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,7,3,5,1]
[3,5,7,9,11,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,11,9,7,5,3]
[3,5,7,9,1,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,1,9,7,5,3]
[3,5,7,1,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,1,7,5,3]
[3,5,1,7,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,7,1,5,3]
[3,1,5,7,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,7,5,1,3]
[11,12,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,12,11]
[11,10,9,8,7,6,5,4,1,3,12,2]=>[2,12,3,1,4,5,6,7,8,9,10,11]
[12,10,9,8,7,1,2,3,4,5,11,6]=>[6,11,5,4,3,2,1,7,8,9,10,12]
[12,11,9,8,1,7,2,3,4,10,5,6]=>[6,5,10,4,3,2,7,1,8,9,11,12]
[12,11,9,8,7,1,2,3,4,10,5,6]=>[6,5,10,4,3,2,1,7,8,9,11,12]
[12,9,8,7,1,2,3,4,5,10,11,6]=>[6,11,10,5,4,3,2,1,7,8,9,12]
[12,11,10,1,8,7,2,3,9,4,5,6]=>[6,5,4,9,3,2,7,8,1,10,11,12]
[12,10,8,1,7,2,3,4,9,5,11,6]=>[6,11,5,9,4,3,2,7,1,8,10,12]
[12,11,10,8,1,7,2,3,9,4,5,6]=>[6,5,4,9,3,2,7,1,8,10,11,12]
[12,11,10,8,7,1,2,3,9,4,5,6]=>[6,5,4,9,3,2,1,7,8,10,11,12]
[12,10,8,7,1,2,3,4,9,5,11,6]=>[6,11,5,9,4,3,2,1,7,8,10,12]
[12,11,8,1,2,7,3,4,9,10,5,6]=>[6,5,10,9,4,3,7,2,1,8,11,12]
[12,11,8,1,7,2,3,4,9,10,5,6]=>[6,5,10,9,4,3,2,7,1,8,11,12]
[12,11,8,7,1,2,3,4,9,10,5,6]=>[6,5,10,9,4,3,2,1,7,8,11,12]
[12,8,7,1,2,3,4,5,9,10,11,6]=>[6,11,10,9,5,4,3,2,1,7,8,12]
[12,11,1,10,9,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,9,10,1,11,12]
[12,10,1,9,7,2,3,8,4,5,11,6]=>[6,11,5,4,8,3,2,7,9,1,10,12]
[12,11,1,9,2,7,3,8,4,10,5,6]=>[6,5,10,4,8,3,7,2,9,1,11,12]
[12,11,1,9,7,2,3,8,4,10,5,6]=>[6,5,10,4,8,3,2,7,9,1,11,12]
[12,9,1,7,2,3,4,8,5,10,11,6]=>[6,11,10,5,8,4,3,2,7,1,9,12]
[12,11,10,1,9,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,9,1,10,11,12]
[12,10,9,1,7,2,3,8,4,5,11,6]=>[6,11,5,4,8,3,2,7,1,9,10,12]
[12,11,10,9,1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1,9,10,11,12]
[12,11,10,9,7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7,9,10,11,12]
[12,10,9,7,1,2,3,8,4,5,11,6]=>[6,11,5,4,8,3,2,1,7,9,10,12]
[12,11,9,1,2,7,3,8,4,10,5,6]=>[6,5,10,4,8,3,7,2,1,9,11,12]
[12,11,9,1,7,2,3,8,4,10,5,6]=>[6,5,10,4,8,3,2,7,1,9,11,12]
[12,11,9,7,1,2,3,8,4,10,5,6]=>[6,5,10,4,8,3,2,1,7,9,11,12]
[12,9,7,1,2,3,4,8,5,10,11,6]=>[6,11,10,5,8,4,3,2,1,7,9,12]
[12,11,1,2,10,7,3,8,9,4,5,6]=>[6,5,4,9,8,3,7,10,2,1,11,12]
[12,10,1,2,7,3,4,8,9,5,11,6]=>[6,11,5,9,8,4,3,7,2,1,10,12]
[12,11,1,10,2,7,3,8,9,4,5,6]=>[6,5,4,9,8,3,7,2,10,1,11,12]
[12,11,1,10,7,2,3,8,9,4,5,6]=>[6,5,4,9,8,3,2,7,10,1,11,12]
[12,10,1,7,2,3,4,8,9,5,11,6]=>[6,11,5,9,8,4,3,2,7,1,10,12]
[12,11,10,1,2,7,3,8,9,4,5,6]=>[6,5,4,9,8,3,7,2,1,10,11,12]
[12,11,10,1,7,2,3,8,9,4,5,6]=>[6,5,4,9,8,3,2,7,1,10,11,12]
[12,11,10,7,1,2,3,8,9,4,5,6]=>[6,5,4,9,8,3,2,1,7,10,11,12]
[12,10,7,1,2,3,4,8,9,5,11,6]=>[6,11,5,9,8,4,3,2,1,7,10,12]
[12,11,1,2,3,7,4,8,9,10,5,6]=>[6,5,10,9,8,4,7,3,2,1,11,12]
[12,11,1,2,7,3,4,8,9,10,5,6]=>[6,5,10,9,8,4,3,7,2,1,11,12]
[12,11,1,7,2,3,4,8,9,10,5,6]=>[6,5,10,9,8,4,3,2,7,1,11,12]
[12,11,7,1,2,3,4,8,9,10,5,6]=>[6,5,10,9,8,4,3,2,1,7,11,12]
[12,7,1,2,3,4,5,8,9,10,11,6]=>[6,11,10,9,8,5,4,3,2,1,7,12]
[12,1,11,10,9,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,9,10,11,1,12]
[12,1,10,9,8,2,7,3,4,5,11,6]=>[6,11,5,4,3,7,2,8,9,10,1,12]
[12,1,11,9,2,8,7,3,4,10,5,6]=>[6,5,10,4,3,7,8,2,9,11,1,12]
[12,1,11,9,8,2,7,3,4,10,5,6]=>[6,5,10,4,3,7,2,8,9,11,1,12]
[12,1,9,8,2,3,7,4,5,10,11,6]=>[6,11,10,5,4,7,3,2,8,9,1,12]
[12,1,11,2,10,8,7,3,9,4,5,6]=>[6,5,4,9,3,7,8,10,2,11,1,12]
[12,1,11,10,2,8,7,3,9,4,5,6]=>[6,5,4,9,3,7,8,2,10,11,1,12]
[12,1,11,10,8,2,7,3,9,4,5,6]=>[6,5,4,9,3,7,2,8,10,11,1,12]
[12,1,10,8,2,3,7,4,9,5,11,6]=>[6,11,5,9,4,7,3,2,8,10,1,12]
[12,1,11,2,3,8,7,4,9,10,5,6]=>[6,5,10,9,4,7,8,3,2,11,1,12]
[12,1,11,2,8,3,7,4,9,10,5,6]=>[6,5,10,9,4,7,3,8,2,11,1,12]
[12,1,11,8,2,3,7,4,9,10,5,6]=>[6,5,10,9,4,7,3,2,8,11,1,12]
[12,1,8,2,3,4,7,5,9,10,11,6]=>[6,11,10,9,5,7,4,3,2,8,1,12]
[12,11,1,10,9,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,9,10,1,11,12]
[12,10,1,9,8,2,7,3,4,5,11,6]=>[6,11,5,4,3,7,2,8,9,1,10,12]
[12,11,1,9,2,8,7,3,4,10,5,6]=>[6,5,10,4,3,7,8,2,9,1,11,12]
[12,11,1,9,8,2,7,3,4,10,5,6]=>[6,5,10,4,3,7,2,8,9,1,11,12]
[12,9,1,8,2,3,7,4,5,10,11,6]=>[6,11,10,5,4,7,3,2,8,1,9,12]
[12,11,10,1,9,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,9,1,10,11,12]
[12,10,9,1,8,2,7,3,4,5,11,6]=>[6,11,5,4,3,7,2,8,1,9,10,12]
[12,11,10,9,1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1,9,10,11,12]
[12,11,10,9,8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8,9,10,11,12]
[12,10,9,8,1,2,7,3,4,5,11,6]=>[6,11,5,4,3,7,2,1,8,9,10,12]
[12,11,9,1,2,8,7,3,4,10,5,6]=>[6,5,10,4,3,7,8,2,1,9,11,12]
[12,11,9,1,8,2,7,3,4,10,5,6]=>[6,5,10,4,3,7,2,8,1,9,11,12]
[12,11,9,8,1,2,7,3,4,10,5,6]=>[6,5,10,4,3,7,2,1,8,9,11,12]
[12,9,8,1,2,3,7,4,5,10,11,6]=>[6,11,10,5,4,7,3,2,1,8,9,12]
[12,11,1,2,10,8,7,3,9,4,5,6]=>[6,5,4,9,3,7,8,10,2,1,11,12]
[12,10,1,2,8,3,7,4,9,5,11,6]=>[6,11,5,9,4,7,3,8,2,1,10,12]
[12,11,1,10,2,8,7,3,9,4,5,6]=>[6,5,4,9,3,7,8,2,10,1,11,12]
[12,11,1,10,8,2,7,3,9,4,5,6]=>[6,5,4,9,3,7,2,8,10,1,11,12]
[12,10,1,8,2,3,7,4,9,5,11,6]=>[6,11,5,9,4,7,3,2,8,1,10,12]
[12,11,10,1,2,8,7,3,9,4,5,6]=>[6,5,4,9,3,7,8,2,1,10,11,12]
[12,11,10,1,8,2,7,3,9,4,5,6]=>[6,5,4,9,3,7,2,8,1,10,11,12]
[12,11,10,8,1,2,7,3,9,4,5,6]=>[6,5,4,9,3,7,2,1,8,10,11,12]
[12,10,8,1,2,3,7,4,9,5,11,6]=>[6,11,5,9,4,7,3,2,1,8,10,12]
[12,11,1,2,3,8,7,4,9,10,5,6]=>[6,5,10,9,4,7,8,3,2,1,11,12]
[12,11,1,2,8,3,7,4,9,10,5,6]=>[6,5,10,9,4,7,3,8,2,1,11,12]
[12,11,1,8,2,3,7,4,9,10,5,6]=>[6,5,10,9,4,7,3,2,8,1,11,12]
[12,11,8,1,2,3,7,4,9,10,5,6]=>[6,5,10,9,4,7,3,2,1,8,11,12]
[12,8,1,2,3,4,7,5,9,10,11,6]=>[6,11,10,9,5,7,4,3,2,1,8,12]
[12,1,2,11,10,9,7,8,3,4,5,6]=>[6,5,4,3,8,7,9,10,11,2,1,12]
[12,1,2,10,9,3,7,8,4,5,11,6]=>[6,11,5,4,8,7,3,9,10,2,1,12]
[12,1,2,11,3,9,7,8,4,10,5,6]=>[6,5,10,4,8,7,9,3,11,2,1,12]
[12,1,2,11,9,3,7,8,4,10,5,6]=>[6,5,10,4,8,7,3,9,11,2,1,12]
[12,1,2,9,3,4,7,8,5,10,11,6]=>[6,11,10,5,8,7,4,3,9,2,1,12]
[12,1,11,2,10,9,7,8,3,4,5,6]=>[6,5,4,3,8,7,9,10,2,11,1,12]
[12,1,10,2,9,3,7,8,4,5,11,6]=>[6,11,5,4,8,7,3,9,2,10,1,12]
[12,1,11,10,2,9,7,8,3,4,5,6]=>[6,5,4,3,8,7,9,2,10,11,1,12]
[12,1,11,10,9,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,9,10,11,1,12]
[12,1,10,9,2,3,7,8,4,5,11,6]=>[6,11,5,4,8,7,3,2,9,10,1,12]
[12,1,11,2,3,9,7,8,4,10,5,6]=>[6,5,10,4,8,7,9,3,2,11,1,12]
[12,1,11,2,9,3,7,8,4,10,5,6]=>[6,5,10,4,8,7,3,9,2,11,1,12]
[12,1,11,9,2,3,7,8,4,10,5,6]=>[6,5,10,4,8,7,3,2,9,11,1,12]
[12,1,9,2,3,4,7,8,5,10,11,6]=>[6,11,10,5,8,7,4,3,2,9,1,12]
[12,11,1,2,10,9,7,8,3,4,5,6]=>[6,5,4,3,8,7,9,10,2,1,11,12]
[12,10,1,2,9,3,7,8,4,5,11,6]=>[6,11,5,4,8,7,3,9,2,1,10,12]
[12,11,1,10,2,9,7,8,3,4,5,6]=>[6,5,4,3,8,7,9,2,10,1,11,12]
[12,11,1,10,9,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,9,10,1,11,12]
[12,10,1,9,2,3,7,8,4,5,11,6]=>[6,11,5,4,8,7,3,2,9,1,10,12]
[12,11,10,1,2,9,7,8,3,4,5,6]=>[6,5,4,3,8,7,9,2,1,10,11,12]
[12,11,10,1,9,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,9,1,10,11,12]
[12,11,10,9,1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1,9,10,11,12]
[12,10,9,1,2,3,7,8,4,5,11,6]=>[6,11,5,4,8,7,3,2,1,9,10,12]
[12,11,1,2,3,9,7,8,4,10,5,6]=>[6,5,10,4,8,7,9,3,2,1,11,12]
[12,11,1,2,9,3,7,8,4,10,5,6]=>[6,5,10,4,8,7,3,9,2,1,11,12]
[12,11,1,9,2,3,7,8,4,10,5,6]=>[6,5,10,4,8,7,3,2,9,1,11,12]
[12,11,9,1,2,3,7,8,4,10,5,6]=>[6,5,10,4,8,7,3,2,1,9,11,12]
[12,9,1,2,3,4,7,8,5,10,11,6]=>[6,11,10,5,8,7,4,3,2,1,9,12]
[12,1,2,3,11,10,7,8,9,4,5,6]=>[6,5,4,9,8,7,10,11,3,2,1,12]
[12,1,2,3,10,4,7,8,9,5,11,6]=>[6,11,5,9,8,7,4,10,3,2,1,12]
[12,1,2,11,3,10,7,8,9,4,5,6]=>[6,5,4,9,8,7,10,3,11,2,1,12]
[12,1,2,11,10,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,10,11,2,1,12]
[12,1,2,10,3,4,7,8,9,5,11,6]=>[6,11,5,9,8,7,4,3,10,2,1,12]
[12,1,11,2,3,10,7,8,9,4,5,6]=>[6,5,4,9,8,7,10,3,2,11,1,12]
[12,1,11,2,10,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,10,2,11,1,12]
[12,1,11,10,2,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,2,10,11,1,12]
[12,1,10,2,3,4,7,8,9,5,11,6]=>[6,11,5,9,8,7,4,3,2,10,1,12]
[12,11,1,2,3,10,7,8,9,4,5,6]=>[6,5,4,9,8,7,10,3,2,1,11,12]
[12,11,1,2,10,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,10,2,1,11,12]
[12,11,1,10,2,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,2,10,1,11,12]
[12,11,10,1,2,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,2,1,10,11,12]
[12,10,1,2,3,4,7,8,9,5,11,6]=>[6,11,5,9,8,7,4,3,2,1,10,12]
[12,1,2,3,4,11,7,8,9,10,5,6]=>[6,5,10,9,8,7,11,4,3,2,1,12]
[12,1,2,3,11,4,7,8,9,10,5,6]=>[6,5,10,9,8,7,4,11,3,2,1,12]
[12,1,2,11,3,4,7,8,9,10,5,6]=>[6,5,10,9,8,7,4,3,11,2,1,12]
[12,1,11,2,3,4,7,8,9,10,5,6]=>[6,5,10,9,8,7,4,3,2,11,1,12]
[12,11,1,2,3,4,7,8,9,10,5,6]=>[6,5,10,9,8,7,4,3,2,1,11,12]
[12,10,8,6,4,2,3,1,5,7,9,11]=>[11,9,7,5,1,3,2,4,6,8,10,12]
[12,10,8,6,3,4,2,5,1,7,9,11]=>[11,9,7,1,5,2,4,3,6,8,10,12]
[12,10,8,5,6,4,7,2,3,1,9,11]=>[11,9,1,3,2,7,4,6,5,8,10,12]
[12,10,8,5,3,4,2,6,7,1,9,11]=>[11,9,1,7,6,2,4,3,5,8,10,12]
[12,10,8,4,5,3,6,2,7,1,9,11]=>[11,9,1,7,2,6,3,5,4,8,10,12]
[12,10,7,8,6,9,4,2,3,1,5,11]=>[11,5,1,3,2,4,9,6,8,7,10,12]
[12,10,7,8,6,9,3,4,2,5,1,11]=>[11,1,5,2,4,3,9,6,8,7,10,12]
[12,10,7,5,6,4,8,9,2,3,1,11]=>[11,1,3,2,9,8,4,6,5,7,10,12]
[12,10,6,7,5,8,4,9,2,3,1,11]=>[11,1,3,2,9,4,8,5,7,6,10,12]
[12,10,7,5,3,4,2,6,8,9,1,11]=>[11,1,9,8,6,2,4,3,5,7,10,12]
[12,10,7,4,5,3,6,2,8,9,1,11]=>[11,1,9,8,2,6,3,5,4,7,10,12]
[12,10,6,7,5,8,3,4,2,9,1,11]=>[11,1,9,2,4,3,8,5,7,6,10,12]
[12,10,6,4,5,3,7,8,2,9,1,11]=>[11,1,9,2,8,7,3,5,4,6,10,12]
[12,10,5,6,4,7,3,8,2,9,1,11]=>[11,1,9,2,8,3,7,4,6,5,10,12]
[12,9,10,8,11,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,11,8,10,9,12]
[12,9,10,8,11,6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6,11,8,10,9,12]
[12,9,8,10,5,6,4,7,2,3,1,11]=>[11,1,3,2,7,4,6,5,10,8,9,12]
[12,9,10,8,11,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,11,8,10,9,12]
[12,9,10,8,11,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,11,8,10,9,12]
[12,9,7,8,6,10,11,4,2,3,1,5]=>[5,1,3,2,4,11,10,6,8,7,9,12]
[12,9,7,8,6,10,11,3,4,2,5,1]=>[1,5,2,4,3,11,10,6,8,7,9,12]
[12,8,9,7,10,6,11,4,2,3,1,5]=>[5,1,3,2,4,11,6,10,7,9,8,12]
[12,8,9,7,10,6,11,3,4,2,5,1]=>[1,5,2,4,3,11,6,10,7,9,8,12]
[12,9,7,5,6,4,8,10,11,2,3,1]=>[1,3,2,11,10,8,4,6,5,7,9,12]
[12,9,6,7,5,8,4,10,11,2,3,1]=>[1,3,2,11,10,4,8,5,7,6,9,12]
[12,8,9,7,10,5,6,4,11,2,3,1]=>[1,3,2,11,4,6,5,10,7,9,8,12]
[12,8,6,7,5,9,10,4,11,2,3,1]=>[1,3,2,11,4,10,9,5,7,6,8,12]
[12,7,8,6,9,5,10,4,11,2,3,1]=>[1,3,2,11,4,10,5,9,6,8,7,12]
[12,9,7,5,3,4,2,6,8,10,11,1]=>[1,11,10,8,6,2,4,3,5,7,9,12]
[12,9,7,4,5,3,6,2,8,10,11,1]=>[1,11,10,8,2,6,3,5,4,7,9,12]
[12,9,6,7,5,8,3,4,2,10,11,1]=>[1,11,10,2,4,3,8,5,7,6,9,12]
[12,9,5,6,4,7,3,8,2,10,11,1]=>[1,11,10,2,8,3,7,4,6,5,9,12]
[12,8,9,7,10,5,3,4,2,6,11,1]=>[1,11,6,2,4,3,5,10,7,9,8,12]
[12,8,9,7,10,4,5,3,6,2,11,1]=>[1,11,2,6,3,5,4,10,7,9,8,12]
[12,8,6,7,5,9,10,3,4,2,11,1]=>[1,11,2,4,3,10,9,5,7,6,8,12]
[12,7,8,6,9,5,10,3,4,2,11,1]=>[1,11,2,4,3,10,5,9,6,8,7,12]
[12,8,6,4,5,3,7,9,10,2,11,1]=>[1,11,2,10,9,7,3,5,4,6,8,12]
[12,8,5,6,4,7,3,9,10,2,11,1]=>[1,11,2,10,9,3,7,4,6,5,8,12]
[12,7,8,6,9,4,5,3,10,2,11,1]=>[1,11,2,10,3,5,4,9,6,8,7,12]
[12,7,5,6,4,8,9,3,10,2,11,1]=>[1,11,2,10,3,9,8,4,6,5,7,12]
[12,6,7,5,8,4,9,3,10,2,11,1]=>[1,11,2,10,3,9,4,8,5,7,6,12]
[11,10,12,8,6,4,2,3,1,5,7,9]=>[9,7,5,1,3,2,4,6,8,12,10,11]
[11,10,12,8,6,3,4,2,5,1,7,9]=>[9,7,1,5,2,4,3,6,8,12,10,11]
[11,10,12,8,5,6,4,7,2,3,1,9]=>[9,1,3,2,7,4,6,5,8,12,10,11]
[11,10,12,8,5,3,4,2,6,7,1,9]=>[9,1,7,6,2,4,3,5,8,12,10,11]
[11,10,12,8,4,5,3,6,2,7,1,9]=>[9,1,7,2,6,3,5,4,8,12,10,11]
[11,10,12,7,8,6,9,4,2,3,1,5]=>[5,1,3,2,4,9,6,8,7,12,10,11]
[11,10,12,7,8,6,9,3,4,2,5,1]=>[1,5,2,4,3,9,6,8,7,12,10,11]
[11,10,12,7,5,6,4,8,9,2,3,1]=>[1,3,2,9,8,4,6,5,7,12,10,11]
[11,10,12,6,7,5,8,4,9,2,3,1]=>[1,3,2,9,4,8,5,7,6,12,10,11]
[11,10,12,7,5,3,4,2,6,8,9,1]=>[1,9,8,6,2,4,3,5,7,12,10,11]
[11,10,12,7,4,5,3,6,2,8,9,1]=>[1,9,8,2,6,3,5,4,7,12,10,11]
[11,10,12,6,7,5,8,3,4,2,9,1]=>[1,9,2,4,3,8,5,7,6,12,10,11]
[11,10,12,6,4,5,3,7,8,2,9,1]=>[1,9,2,8,7,3,5,4,6,12,10,11]
[11,10,12,5,6,4,7,3,8,2,9,1]=>[1,9,2,8,3,7,4,6,5,12,10,11]
[11,9,8,10,6,4,2,3,1,5,7,12]=>[12,7,5,1,3,2,4,6,10,8,9,11]
[11,9,8,10,6,3,4,2,5,1,7,12]=>[12,7,1,5,2,4,3,6,10,8,9,11]
[11,9,10,8,12,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,12,8,10,9,11]
[11,9,8,10,5,3,4,2,6,7,1,12]=>[12,1,7,6,2,4,3,5,10,8,9,11]
[11,9,8,10,4,5,3,6,2,7,1,12]=>[12,1,7,2,6,3,5,4,10,8,9,11]
[10,9,11,7,5,3,4,2,6,8,12,1]=>[1,12,8,6,2,4,3,5,7,11,9,10]
[10,9,11,7,4,5,3,6,2,8,12,1]=>[1,12,8,2,6,3,5,4,7,11,9,10]
[10,9,11,8,12,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,12,8,11,9,10]
[10,9,11,6,4,5,3,7,8,2,12,1]=>[1,12,2,8,7,3,5,4,6,11,9,10]
[10,9,11,5,6,4,7,3,8,2,12,1]=>[1,12,2,8,3,7,4,6,5,11,9,10]
[11,9,7,6,8,4,2,3,1,5,10,12]=>[12,10,5,1,3,2,4,8,6,7,9,11]
[11,9,7,6,8,3,4,2,5,1,10,12]=>[12,10,1,5,2,4,3,8,6,7,9,11]
[11,8,7,9,5,3,4,2,6,10,1,12]=>[12,1,10,6,2,4,3,5,9,7,8,11]
[11,8,7,9,4,5,3,6,2,10,1,12]=>[12,1,10,2,6,3,5,4,9,7,8,11]
[10,9,11,7,8,6,12,4,2,3,1,5]=>[5,1,3,2,4,12,6,8,7,11,9,10]
[10,9,11,7,8,6,12,3,4,2,5,1]=>[1,5,2,4,3,12,6,8,7,11,9,10]
[10,8,7,9,5,3,4,2,6,11,12,1]=>[1,12,11,6,2,4,3,5,9,7,8,10]
[10,8,7,9,4,5,3,6,2,11,12,1]=>[1,12,11,2,6,3,5,4,9,7,8,10]
[9,8,10,6,4,5,3,7,11,2,12,1]=>[1,12,2,11,7,3,5,4,6,10,8,9]
[9,8,10,5,6,4,7,3,11,2,12,1]=>[1,12,2,11,3,7,4,6,5,10,8,9]
[11,9,7,5,4,6,2,3,1,8,10,12]=>[12,10,8,1,3,2,6,4,5,7,9,11]
[11,9,6,5,7,3,4,2,8,1,10,12]=>[12,10,1,8,2,4,3,7,5,6,9,11]
[11,8,7,9,5,6,4,10,2,3,1,12]=>[12,1,3,2,10,4,6,5,9,7,8,11]
[11,8,6,5,7,3,4,2,9,10,1,12]=>[12,1,10,9,2,4,3,7,5,6,8,11]
[11,7,6,8,4,5,3,9,2,10,1,12]=>[12,1,10,2,9,3,5,4,8,6,7,11]
[10,9,11,7,5,6,4,8,12,2,3,1]=>[1,3,2,12,8,4,6,5,7,11,9,10]
[10,9,11,6,7,5,8,4,12,2,3,1]=>[1,3,2,12,4,8,5,7,6,11,9,10]
[10,8,7,9,5,6,4,11,12,2,3,1]=>[1,3,2,12,11,4,6,5,9,7,8,10]
[9,8,10,6,7,5,11,4,12,2,3,1]=>[1,3,2,12,4,11,5,7,6,10,8,9]
[10,8,6,5,7,3,4,2,9,11,12,1]=>[1,12,11,9,2,4,3,7,5,6,8,10]
[10,7,6,8,4,5,3,9,2,11,12,1]=>[1,12,11,2,9,3,5,4,8,6,7,10]
[9,8,10,6,7,5,11,3,4,2,12,1]=>[1,12,2,4,3,11,5,7,6,10,8,9]
[9,7,6,8,4,5,3,10,11,2,12,1]=>[1,12,2,11,10,3,5,4,8,6,7,9]
[8,7,9,5,6,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,6,5,9,7,8]
[11,9,7,5,3,2,4,1,6,8,10,12]=>[12,10,8,6,1,4,2,3,5,7,9,11]
[11,9,7,4,3,5,2,6,1,8,10,12]=>[12,10,8,1,6,2,5,3,4,7,9,11]
[11,9,6,7,5,8,4,2,3,1,10,12]=>[12,10,1,3,2,4,8,5,7,6,9,11]
[11,9,6,4,3,5,2,7,8,1,10,12]=>[12,10,1,8,7,2,5,3,4,6,9,11]
[11,9,5,4,6,3,7,2,8,1,10,12]=>[12,10,1,8,2,7,3,6,4,5,9,11]
[11,8,9,7,10,6,4,2,3,1,5,12]=>[12,5,1,3,2,4,6,10,7,9,8,11]
[11,8,9,7,10,6,3,4,2,5,1,12]=>[12,1,5,2,4,3,6,10,7,9,8,11]
[11,8,6,7,5,9,10,4,2,3,1,12]=>[12,1,3,2,4,10,9,5,7,6,8,11]
[11,7,8,6,9,5,10,4,2,3,1,12]=>[12,1,3,2,4,10,5,9,6,8,7,11]
[11,8,6,4,3,5,2,7,9,10,1,12]=>[12,1,10,9,7,2,5,3,4,6,8,11]
[11,8,5,4,6,3,7,2,9,10,1,12]=>[12,1,10,9,2,7,3,6,4,5,8,11]
[11,7,8,6,9,5,3,4,2,10,1,12]=>[12,1,10,2,4,3,5,9,6,8,7,11]
[11,7,5,4,6,3,8,9,2,10,1,12]=>[12,1,10,2,9,8,3,6,4,5,7,11]
[11,6,5,7,4,8,3,9,2,10,1,12]=>[12,1,10,2,9,3,8,4,7,5,6,11]
[10,11,9,12,8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8,12,9,11,10]
[10,11,9,12,8,6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6,8,12,9,11,10]
[10,9,11,6,7,5,8,4,2,3,1,12]=>[12,1,3,2,4,8,5,7,6,11,9,10]
[10,11,9,12,8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8,12,9,11,10]
[10,11,9,12,8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8,12,9,11,10]
[10,8,9,7,11,12,6,4,2,3,1,5]=>[5,1,3,2,4,6,12,11,7,9,8,10]
[10,8,9,7,11,12,6,3,4,2,5,1]=>[1,5,2,4,3,6,12,11,7,9,8,10]
[9,10,8,11,7,12,6,4,2,3,1,5]=>[5,1,3,2,4,6,12,7,11,8,10,9]
[9,10,8,11,7,12,6,3,4,2,5,1]=>[1,5,2,4,3,6,12,7,11,8,10,9]
[10,8,6,7,5,9,11,12,4,2,3,1]=>[1,3,2,4,12,11,9,5,7,6,8,10]
[10,7,8,6,9,5,11,12,4,2,3,1]=>[1,3,2,4,12,11,5,9,6,8,7,10]
[9,10,8,11,7,5,6,4,12,2,3,1]=>[1,3,2,12,4,6,5,7,11,8,10,9]
[9,7,8,6,10,11,5,12,4,2,3,1]=>[1,3,2,4,12,5,11,10,6,8,7,9]
[8,9,7,10,6,11,5,12,4,2,3,1]=>[1,3,2,4,12,5,11,6,10,7,9,8]
[10,8,6,4,3,5,2,7,9,11,12,1]=>[1,12,11,9,7,2,5,3,4,6,8,10]
[10,8,5,4,6,3,7,2,9,11,12,1]=>[1,12,11,9,2,7,3,6,4,5,8,10]
[10,7,8,6,9,5,3,4,2,11,12,1]=>[1,12,11,2,4,3,5,9,6,8,7,10]
[10,7,5,4,6,3,8,9,2,11,12,1]=>[1,12,11,2,9,8,3,6,4,5,7,10]
[10,6,5,7,4,8,3,9,2,11,12,1]=>[1,12,11,2,9,3,8,4,7,5,6,10]
[9,10,8,11,7,5,3,4,2,6,12,1]=>[1,12,6,2,4,3,5,7,11,8,10,9]
[9,10,8,11,7,4,5,3,6,2,12,1]=>[1,12,2,6,3,5,4,7,11,8,10,9]
[9,7,8,6,10,11,5,3,4,2,12,1]=>[1,12,2,4,3,5,11,10,6,8,7,9]
[8,9,7,10,6,11,5,3,4,2,12,1]=>[1,12,2,4,3,5,11,6,10,7,9,8]
[9,7,5,4,6,3,8,10,11,2,12,1]=>[1,12,2,11,10,8,3,6,4,5,7,9]
[9,6,5,7,4,8,3,10,11,2,12,1]=>[1,12,2,11,10,3,8,4,7,5,6,9]
[8,9,7,10,6,4,5,3,11,2,12,1]=>[1,12,2,11,3,5,4,6,10,7,9,8]
[8,6,5,7,4,9,10,3,11,2,12,1]=>[1,12,2,11,3,10,9,4,7,5,6,8]
[10,9,11,7,5,3,1,12,8,6,4,2]=>[2,4,6,8,12,1,3,5,7,11,9,10]
[8,7,11,9,5,3,1,12,10,6,4,2]=>[2,4,6,10,12,1,3,5,9,11,7,8]
[8,10,7,11,9,5,3,1,12,6,4,2]=>[2,4,6,12,1,3,5,9,11,7,10,8]
[9,8,7,10,11,5,3,1,12,6,4,2]=>[2,4,6,12,1,3,5,11,10,7,8,9]
[6,5,11,9,7,3,1,12,10,8,4,2]=>[2,4,8,10,12,1,3,7,9,11,5,6]
[10,9,6,5,11,7,3,1,12,8,4,2]=>[2,4,8,12,1,3,7,11,5,6,9,10]
[6,8,5,11,9,7,3,1,12,10,4,2]=>[2,4,10,12,1,3,7,9,11,5,8,6]
[8,6,10,5,11,9,7,3,1,12,4,2]=>[2,4,12,1,3,7,9,11,5,10,6,8]
[6,9,8,10,5,11,7,3,1,12,4,2]=>[2,4,12,1,3,7,11,5,10,8,9,6]
[7,6,5,8,11,9,3,1,12,10,4,2]=>[2,4,10,12,1,3,9,11,8,5,6,7]
[10,7,6,5,8,11,9,3,1,12,4,2]=>[2,4,12,1,3,9,11,8,5,6,7,10]
[7,6,9,5,10,8,11,3,1,12,4,2]=>[2,4,12,1,3,11,8,10,5,9,6,7]
[8,7,6,5,9,10,11,3,1,12,4,2]=>[2,4,12,1,3,11,10,9,5,6,7,8]
[4,3,11,9,7,5,1,12,10,8,6,2]=>[2,6,8,10,12,1,5,7,9,11,3,4]
[10,9,4,3,11,7,5,1,12,8,6,2]=>[2,6,8,12,1,5,7,11,3,4,9,10]
[8,7,4,3,11,9,5,1,12,10,6,2]=>[2,6,10,12,1,5,9,11,3,4,7,8]
[8,10,7,4,3,11,9,5,1,12,6,2]=>[2,6,12,1,5,9,11,3,4,7,10,8]
[9,8,7,10,4,3,11,5,1,12,6,2]=>[2,6,12,1,5,11,3,4,10,7,8,9]
[4,6,3,11,9,7,5,1,12,10,8,2]=>[2,8,10,12,1,5,7,9,11,3,6,4]
[4,10,9,6,3,11,7,5,1,12,8,2]=>[2,8,12,1,5,7,11,3,6,9,10,4]
[6,4,8,3,11,9,7,5,1,12,10,2]=>[2,10,12,1,5,7,9,11,3,8,4,6]
[8,6,4,10,3,11,9,7,5,1,12,2]=>[2,12,1,5,7,9,11,3,10,4,6,8]
[6,9,8,4,10,3,11,7,5,1,12,2]=>[2,12,1,5,7,11,3,10,4,8,9,6]
[4,7,6,8,3,11,9,5,1,12,10,2]=>[2,10,12,1,5,9,11,3,8,6,7,4]
[4,10,7,6,8,3,11,9,5,1,12,2]=>[2,12,1,5,9,11,3,8,6,7,10,4]
[7,6,4,9,10,8,3,11,5,1,12,2]=>[2,12,1,5,11,3,8,10,9,4,6,7]
[4,8,7,6,9,10,3,11,5,1,12,2]=>[2,12,1,5,11,3,10,9,6,7,8,4]
[5,4,3,6,11,9,7,1,12,10,8,2]=>[2,8,10,12,1,7,9,11,6,3,4,5]
[5,4,3,10,9,6,11,7,1,12,8,2]=>[2,8,12,1,7,11,6,9,10,3,4,5]
[8,5,4,3,6,11,9,7,1,12,10,2]=>[2,10,12,1,7,9,11,6,3,4,5,8]
[5,8,4,3,10,6,11,9,7,1,12,2]=>[2,12,1,7,9,11,6,10,3,4,8,5]
[9,5,8,4,3,10,6,11,7,1,12,2]=>[2,12,1,7,11,6,10,3,4,8,5,9]
[5,4,7,3,8,6,11,9,1,12,10,2]=>[2,10,12,1,9,11,6,8,3,7,4,5]
[5,4,10,7,3,8,6,11,9,1,12,2]=>[2,12,1,9,11,6,8,3,7,10,4,5]
[5,7,4,9,3,10,8,6,11,1,12,2]=>[2,12,1,11,6,8,10,3,9,4,7,5]
[5,4,8,7,9,3,10,6,11,1,12,2]=>[2,12,1,11,6,10,3,9,7,8,4,5]
[6,5,4,3,7,8,11,9,1,12,10,2]=>[2,10,12,1,9,11,8,7,3,4,5,6]
[7,5,4,3,10,6,8,11,9,1,12,2]=>[2,12,1,9,11,8,6,10,3,4,5,7]
[5,9,6,4,3,7,10,8,11,1,12,2]=>[2,12,1,11,8,10,7,3,4,6,9,5]
[6,5,4,8,3,9,7,10,11,1,12,2]=>[2,12,1,11,10,7,9,3,8,4,5,6]
[7,6,5,4,3,8,9,10,11,1,12,2]=>[2,12,1,11,10,9,8,3,4,5,6,7]
[2,1,11,9,7,5,3,12,10,8,6,4]=>[4,6,8,10,12,3,5,7,9,11,1,2]
[10,9,2,1,11,7,5,3,12,8,6,4]=>[4,6,8,12,3,5,7,11,1,2,9,10]
[8,7,2,1,11,9,5,3,12,10,6,4]=>[4,6,10,12,3,5,9,11,1,2,7,8]
[8,10,7,2,1,11,9,5,3,12,6,4]=>[4,6,12,3,5,9,11,1,2,7,10,8]
[9,8,7,10,2,1,11,5,3,12,6,4]=>[4,6,12,3,5,11,1,2,10,7,8,9]
[6,5,2,1,11,9,7,3,12,10,8,4]=>[4,8,10,12,3,7,9,11,1,2,5,6]
[10,9,6,5,2,1,11,7,3,12,8,4]=>[4,8,12,3,7,11,1,2,5,6,9,10]
[6,8,5,2,1,11,9,7,3,12,10,4]=>[4,10,12,3,7,9,11,1,2,5,8,6]
[8,6,10,5,2,1,11,9,7,3,12,4]=>[4,12,3,7,9,11,1,2,5,10,6,8]
[6,9,8,10,5,2,1,11,7,3,12,4]=>[4,12,3,7,11,1,2,5,10,8,9,6]
[7,6,5,8,2,1,11,9,3,12,10,4]=>[4,10,12,3,9,11,1,2,8,5,6,7]
[10,7,6,5,8,2,1,11,9,3,12,4]=>[4,12,3,9,11,1,2,8,5,6,7,10]
[7,6,9,5,10,8,2,1,11,3,12,4]=>[4,12,3,11,1,2,8,10,5,9,6,7]
[8,7,6,5,9,10,2,1,11,3,12,4]=>[4,12,3,11,1,2,10,9,5,6,7,8]
[2,4,1,11,9,7,5,3,12,10,8,6]=>[6,8,10,12,3,5,7,9,11,1,4,2]
[2,10,9,4,1,11,7,5,3,12,8,6]=>[6,8,12,3,5,7,11,1,4,9,10,2]
[2,8,7,4,1,11,9,5,3,12,10,6]=>[6,10,12,3,5,9,11,1,4,7,8,2]
[8,2,10,7,4,1,11,9,5,3,12,6]=>[6,12,3,5,9,11,1,4,7,10,2,8]
[9,8,7,2,10,4,1,11,5,3,12,6]=>[6,12,3,5,11,1,4,10,2,7,8,9]
[4,2,6,1,11,9,7,5,3,12,10,8]=>[8,10,12,3,5,7,9,11,1,6,2,4]
[4,2,10,9,6,1,11,7,5,3,12,8]=>[8,12,3,5,7,11,1,6,9,10,2,4]
[6,4,2,8,1,11,9,7,5,3,12,10]=>[10,12,3,5,7,9,11,1,8,2,4,6]
[8,6,4,2,10,1,11,9,7,5,3,12]=>[12,3,5,7,9,11,1,10,2,4,6,8]
[6,9,8,4,2,10,1,11,7,5,3,12]=>[12,3,5,7,11,1,10,2,4,8,9,6]
[4,7,6,2,8,1,11,9,5,3,12,10]=>[10,12,3,5,9,11,1,8,2,6,7,4]
[4,10,7,6,2,8,1,11,9,5,3,12]=>[12,3,5,9,11,1,8,2,6,7,10,4]
[7,6,4,9,2,10,8,1,11,5,3,12]=>[12,3,5,11,1,8,10,2,9,4,6,7]
[4,8,7,6,9,2,10,1,11,5,3,12]=>[12,3,5,11,1,10,2,9,6,7,8,4]
[2,5,4,6,1,11,9,7,3,12,10,8]=>[8,10,12,3,7,9,11,1,6,4,5,2]
[2,5,4,10,9,6,1,11,7,3,12,8]=>[8,12,3,7,11,1,6,9,10,4,5,2]
[2,8,5,4,6,1,11,9,7,3,12,10]=>[10,12,3,7,9,11,1,6,4,5,8,2]
[5,2,8,4,10,6,1,11,9,7,3,12]=>[12,3,7,9,11,1,6,10,4,8,2,5]
[9,5,2,8,4,10,6,1,11,7,3,12]=>[12,3,7,11,1,6,10,4,8,2,5,9]
[5,4,2,7,8,6,1,11,9,3,12,10]=>[10,12,3,9,11,1,6,8,7,2,4,5]
[5,4,2,10,7,8,6,1,11,9,3,12]=>[12,3,9,11,1,6,8,7,10,2,4,5]
[5,7,4,2,9,10,8,6,1,11,3,12]=>[12,3,11,1,6,8,10,9,2,4,7,5]
[5,4,8,7,2,9,10,6,1,11,3,12]=>[12,3,11,1,6,10,9,2,7,8,4,5]
[2,6,5,4,7,8,1,11,9,3,12,10]=>[10,12,3,9,11,1,8,7,4,5,6,2]
[2,7,5,4,10,6,8,1,11,9,3,12]=>[12,3,9,11,1,8,6,10,4,5,7,2]
[5,2,9,6,4,7,10,8,1,11,3,12]=>[12,3,11,1,8,10,7,4,6,9,2,5]
[6,5,4,2,8,9,7,10,1,11,3,12]=>[12,3,11,1,10,7,9,8,2,4,5,6]
[2,7,6,5,4,8,9,10,1,11,3,12]=>[12,3,11,1,10,9,8,4,5,6,7,2]
[3,2,1,4,11,9,7,5,12,10,8,6]=>[6,8,10,12,5,7,9,11,4,1,2,3]
[3,2,1,10,9,4,11,7,5,12,8,6]=>[6,8,12,5,7,11,4,9,10,1,2,3]
[3,2,1,8,7,4,11,9,5,12,10,6]=>[6,10,12,5,9,11,4,7,8,1,2,3]
[8,3,2,1,10,7,4,11,9,5,12,6]=>[6,12,5,9,11,4,7,10,1,2,3,8]
[9,8,7,3,2,1,10,4,11,5,12,6]=>[6,12,5,11,4,10,1,2,3,7,8,9]
[6,3,2,1,4,11,9,7,5,12,10,8]=>[8,10,12,5,7,9,11,4,1,2,3,6]
[10,3,2,1,9,6,4,11,7,5,12,8]=>[8,12,5,7,11,4,6,9,1,2,3,10]
[3,6,2,1,8,4,11,9,7,5,12,10]=>[10,12,5,7,9,11,4,8,1,2,6,3]
[3,8,6,2,1,10,4,11,9,7,5,12]=>[12,5,7,9,11,4,10,1,2,6,8,3]
[6,3,9,8,2,1,10,4,11,7,5,12]=>[12,5,7,11,4,10,1,2,8,9,3,6]
[7,3,6,2,1,8,4,11,9,5,12,10]=>[10,12,5,9,11,4,8,1,2,6,3,7]
[10,3,7,6,2,1,8,4,11,9,5,12]=>[12,5,9,11,4,8,1,2,6,7,3,10]
[3,7,6,9,2,1,10,8,4,11,5,12]=>[12,5,11,4,8,10,1,2,9,6,7,3]
[8,3,7,6,9,2,1,10,4,11,5,12]=>[12,5,11,4,10,1,2,9,6,7,3,8]
[3,2,5,1,6,4,11,9,7,12,10,8]=>[8,10,12,7,9,11,4,6,1,5,2,3]
[3,2,5,1,10,9,6,4,11,7,12,8]=>[8,12,7,11,4,6,9,10,1,5,2,3]
[3,2,8,5,1,6,4,11,9,7,12,10]=>[10,12,7,9,11,4,6,1,5,8,2,3]
[5,3,2,8,1,10,6,4,11,9,7,12]=>[12,7,9,11,4,6,10,1,8,2,3,5]
[9,5,3,2,8,1,10,6,4,11,7,12]=>[12,7,11,4,6,10,1,8,2,3,5,9]
[3,5,2,7,1,8,6,4,11,9,12,10]=>[10,12,9,11,4,6,8,1,7,2,5,3]
[3,5,2,10,7,1,8,6,4,11,9,12]=>[12,9,11,4,6,8,1,7,10,2,5,3]
[5,3,7,2,9,1,10,8,6,4,11,12]=>[12,11,4,6,8,10,1,9,2,7,3,5]
[3,5,8,7,2,9,1,10,6,4,11,12]=>[12,11,4,6,10,1,9,2,7,8,5,3]
[3,2,6,5,7,1,8,4,11,9,12,10]=>[10,12,9,11,4,8,1,7,5,6,2,3]
[3,2,7,5,10,6,1,8,4,11,9,12]=>[12,9,11,4,8,1,6,10,5,7,2,3]
[5,3,2,9,6,7,1,10,8,4,11,12]=>[12,11,4,8,10,1,7,6,9,2,3,5]
[3,6,5,2,8,9,7,1,10,4,11,12]=>[12,11,4,10,1,7,9,8,2,5,6,3]
[3,2,7,6,5,8,9,1,10,4,11,12]=>[12,11,4,10,1,9,8,5,6,7,2,3]
[4,3,2,1,5,6,11,9,7,12,10,8]=>[8,10,12,7,9,11,6,5,1,2,3,4]
[4,3,2,1,5,10,9,6,11,7,12,8]=>[8,12,7,11,6,9,10,5,1,2,3,4]
[5,3,2,1,8,4,6,11,9,7,12,10]=>[10,12,7,9,11,6,4,8,1,2,3,5]
[8,4,3,2,1,5,10,6,11,9,7,12]=>[12,7,9,11,6,10,5,1,2,3,4,8]
[9,8,4,3,2,1,5,10,6,11,7,12]=>[12,7,11,6,10,5,1,2,3,4,8,9]
[3,7,4,2,1,5,8,6,11,9,12,10]=>[10,12,9,11,6,8,5,1,2,4,7,3]
[3,10,4,2,1,7,5,8,6,11,9,12]=>[12,9,11,6,8,5,7,1,2,4,10,3]
[7,3,9,4,2,1,5,10,8,6,11,12]=>[12,11,6,8,10,5,1,2,4,9,3,7]
[3,8,4,7,2,1,9,5,10,6,11,12]=>[12,11,6,10,5,9,1,2,7,4,8,3]
[4,3,2,6,1,7,5,8,11,9,12,10]=>[10,12,9,11,8,5,7,1,6,2,3,4]
[4,3,2,7,1,10,6,5,8,11,9,12]=>[12,9,11,8,5,6,10,1,7,2,3,4]
[9,4,3,2,6,1,7,5,10,8,11,12]=>[12,11,8,10,5,7,1,6,2,3,4,9]
[4,3,6,2,8,1,9,7,5,10,11,12]=>[12,11,10,5,7,9,1,8,2,6,3,4]
[4,3,2,7,6,8,1,9,5,10,11,12]=>[12,11,10,5,9,1,8,6,7,2,3,4]
[5,4,3,2,1,6,7,8,11,9,12,10]=>[10,12,9,11,8,7,6,1,2,3,4,5]
[6,4,3,2,1,7,10,5,8,11,9,12]=>[12,9,11,8,5,10,7,1,2,3,4,6]
[4,6,3,2,1,9,5,7,10,8,11,12]=>[12,11,8,10,7,5,9,1,2,3,6,4]
[4,3,8,5,2,1,6,9,7,10,11,12]=>[12,11,10,7,9,6,1,2,5,8,3,4]
[5,4,3,2,7,1,8,6,9,10,11,12]=>[12,11,10,9,6,8,1,7,2,3,4,5]
[3,12,2,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,2,12,3]
[1,2,11,9,7,5,12,10,8,6,4,3]=>[3,4,6,8,10,12,5,7,9,11,2,1]
[3,4,11,9,7,1,12,10,8,6,5,2]=>[2,5,6,8,10,12,1,7,9,11,4,3]
[4,2,11,1,9,7,12,10,8,6,5,3]=>[3,5,6,8,10,12,7,9,1,11,2,4]
[11,1,2,3,9,7,12,10,8,6,5,4]=>[4,5,6,8,10,12,7,9,3,2,1,11]
[5,6,11,9,3,1,12,10,8,7,4,2]=>[2,4,7,8,10,12,1,3,9,11,6,5]
[5,1,6,2,11,9,12,10,8,7,4,3]=>[3,4,7,8,10,12,9,11,2,6,1,5]
[6,4,11,3,9,1,12,10,8,7,5,2]=>[2,5,7,8,10,12,1,9,3,11,4,6]
[6,4,2,11,9,12,1,10,8,7,5,3]=>[3,5,7,8,10,1,12,9,11,2,4,6]
[2,3,6,11,9,12,1,10,8,7,5,4]=>[4,5,7,8,10,1,12,9,11,6,3,2]
[11,3,4,5,9,1,12,10,8,7,6,2]=>[2,6,7,8,10,12,1,9,5,4,3,11]
[11,4,5,2,9,12,1,10,8,7,6,3]=>[3,6,7,8,10,1,12,9,2,5,4,11]
[3,11,5,9,12,1,2,10,8,7,6,4]=>[4,6,7,8,10,2,1,12,9,5,11,3]
[11,9,12,1,2,3,4,10,8,7,6,5]=>[5,6,7,8,10,4,3,2,1,12,9,11]
[7,8,11,5,3,1,12,10,9,6,4,2]=>[2,4,6,9,10,12,1,3,5,11,8,7]
[7,1,8,2,11,5,12,10,9,6,4,3]=>[3,4,6,9,10,12,5,11,2,8,1,7]
[7,3,8,4,11,1,12,10,9,6,5,2]=>[2,5,6,9,10,12,1,11,4,8,3,7]
[7,8,1,4,2,11,12,10,9,6,5,3]=>[3,5,6,9,10,12,11,2,4,1,8,7]
[1,2,7,3,8,11,12,10,9,6,5,4]=>[4,5,6,9,10,12,11,8,3,7,2,1]
[8,6,11,12,5,3,1,10,9,7,4,2]=>[2,4,7,9,10,1,3,5,12,11,6,8]
[8,6,1,11,2,12,5,10,9,7,4,3]=>[3,4,7,9,10,5,12,2,11,1,6,8]
[8,6,4,11,12,10,3,1,9,7,5,2]=>[2,5,7,9,1,3,10,12,11,4,6,8]
[8,6,4,2,11,12,10,9,1,7,5,3]=>[3,5,7,1,9,10,12,11,2,4,6,8]
[2,3,8,6,11,12,10,9,1,7,5,4]=>[4,5,7,1,9,10,12,11,6,8,3,2]
[4,5,8,11,12,10,3,1,9,7,6,2]=>[2,6,7,9,1,3,10,12,11,8,5,4]
[4,5,8,2,11,12,10,9,1,7,6,3]=>[3,6,7,1,9,10,12,11,2,8,5,4]
[5,3,8,11,12,2,10,9,1,7,6,4]=>[4,6,7,1,9,10,2,12,11,8,3,5]
[8,11,12,2,3,4,10,9,1,7,6,5]=>[5,6,7,1,9,10,4,3,2,12,11,8]
[11,12,5,6,7,3,1,10,9,8,4,2]=>[2,4,8,9,10,1,3,7,6,5,12,11]
[11,12,5,1,6,2,7,10,9,8,4,3]=>[3,4,8,9,10,7,2,6,1,5,12,11]
[11,12,6,4,7,10,3,1,9,8,5,2]=>[2,5,8,9,1,3,10,7,4,6,12,11]
[11,12,6,4,2,7,10,9,1,8,5,3]=>[3,5,8,1,9,10,7,2,4,6,12,11]
[2,11,3,12,6,7,10,9,1,8,5,4]=>[4,5,8,1,9,10,7,6,12,3,11,2]
[5,11,12,7,10,3,4,1,9,8,6,2]=>[2,6,8,9,1,4,3,10,7,12,11,5]
[5,11,12,7,2,10,4,9,1,8,6,3]=>[3,6,8,1,9,4,10,2,7,12,11,5]
[5,3,11,12,7,10,9,1,2,8,6,4]=>[4,6,8,2,1,9,10,7,12,11,3,5]
[11,12,3,4,7,10,9,1,2,8,6,5]=>[5,6,8,2,1,9,10,7,4,3,12,11]
[11,12,10,3,4,5,6,1,9,8,7,2]=>[2,7,8,9,1,6,5,4,3,10,12,11]
[11,12,10,4,5,2,6,9,1,8,7,3]=>[3,7,8,1,9,6,2,5,4,10,12,11]
[11,3,12,10,5,6,9,1,2,8,7,4]=>[4,7,8,2,1,9,6,5,10,12,3,11]
[11,12,4,10,6,9,1,2,3,8,7,5]=>[5,7,8,3,2,1,9,6,10,4,12,11]
[12,9,10,7,5,3,1,11,8,6,4,2]=>[2,4,6,8,11,1,3,5,7,10,9,12]
[1,12,9,2,10,7,5,11,8,6,4,3]=>[3,4,6,8,11,5,7,10,2,9,12,1]
[3,12,9,4,10,7,1,11,8,6,5,2]=>[2,5,6,8,11,1,7,10,4,9,12,3]
[12,9,1,4,2,10,7,11,8,6,5,3]=>[3,5,6,8,11,7,10,2,4,1,9,12]
[1,2,3,12,9,10,7,11,8,6,5,4]=>[4,5,6,8,11,7,10,9,12,3,2,1]
[5,12,9,6,10,3,1,11,8,7,4,2]=>[2,4,7,8,11,1,3,10,6,9,12,5]
[5,1,12,9,6,2,10,11,8,7,4,3]=>[3,4,7,8,11,10,2,6,9,12,1,5]
[12,9,3,6,4,10,1,11,8,7,5,2]=>[2,5,7,8,11,1,10,4,6,3,9,12]
[12,9,6,4,1,2,10,11,8,7,5,3]=>[3,5,7,8,11,10,2,1,4,6,9,12]
[2,3,12,9,1,6,10,11,8,7,5,4]=>[4,5,7,8,11,10,6,1,9,12,3,2]
[3,4,5,12,9,10,1,11,8,7,6,2]=>[2,6,7,8,11,1,10,9,12,5,4,3]
[4,5,12,9,1,2,10,11,8,7,6,3]=>[3,6,7,8,11,10,2,1,9,12,5,4]
[5,3,12,1,2,9,10,11,8,7,6,4]=>[4,6,7,8,11,10,9,2,1,12,3,5]
[12,1,2,3,4,9,10,11,8,7,6,5]=>[5,6,7,8,11,10,9,4,3,2,1,12]
[8,12,10,11,7,5,3,1,9,6,4,2]=>[2,4,6,9,1,3,5,7,11,10,12,8]
[8,1,12,10,2,11,7,5,9,6,4,3]=>[3,4,6,9,5,7,11,2,10,12,1,8]
[8,3,12,10,4,11,7,1,9,6,5,2]=>[2,5,6,9,1,7,11,4,10,12,3,8]
[8,12,1,10,4,2,11,7,9,6,5,3]=>[3,5,6,9,7,11,2,4,10,1,12,8]
[1,2,8,3,12,10,11,7,9,6,5,4]=>[4,5,6,9,7,11,10,12,3,8,2,1]
[8,6,12,10,11,9,5,3,1,7,4,2]=>[2,4,7,1,3,5,9,11,10,12,6,8]
[8,6,1,12,10,2,11,9,5,7,4,3]=>[3,4,7,5,9,11,2,10,12,1,6,8]
[8,6,4,12,10,11,9,7,3,1,5,2]=>[2,5,1,3,7,9,11,10,12,4,6,8]
[8,6,4,2,12,10,11,9,7,5,1,3]=>[3,1,5,7,9,11,10,12,2,4,6,8]
[2,3,8,6,12,10,11,9,7,5,1,4]=>[4,1,5,7,9,11,10,12,6,8,3,2]
[4,5,8,12,10,11,9,7,3,1,6,2]=>[2,6,1,3,7,9,11,10,12,8,5,4]
[4,5,8,2,12,10,11,9,7,6,1,3]=>[3,1,6,7,9,11,10,12,2,8,5,4]
[5,3,8,12,2,10,11,9,7,6,1,4]=>[4,1,6,7,9,11,10,2,12,8,3,5]
[8,12,2,3,4,10,11,9,7,6,1,5]=>[5,1,6,7,9,11,10,4,3,2,12,8]
[12,6,7,10,11,9,5,3,1,8,4,2]=>[2,4,8,1,3,5,9,11,10,7,6,12]
[12,6,7,1,10,2,11,9,5,8,4,3]=>[3,4,8,5,9,11,2,10,1,7,6,12]
[12,6,7,4,10,11,9,8,3,1,5,2]=>[2,5,1,3,8,9,11,10,4,7,6,12]
[12,6,7,4,2,10,11,9,8,5,1,3]=>[3,1,5,8,9,11,10,2,4,7,6,12]
[2,12,6,3,7,10,11,9,8,5,1,4]=>[4,1,5,8,9,11,10,7,3,6,12,2]
[5,12,7,10,11,4,9,8,3,1,6,2]=>[2,6,1,3,8,9,4,11,10,7,12,5]
[5,12,7,10,2,11,4,9,8,6,1,3]=>[3,1,6,8,9,4,11,2,10,7,12,5]
[5,3,12,7,10,11,9,2,8,6,1,4]=>[4,1,6,8,2,9,11,10,7,12,3,5]
[12,3,4,7,10,11,9,2,8,6,1,5]=>[5,1,6,8,2,9,11,10,7,4,3,12]
[12,10,11,4,5,6,9,8,3,1,7,2]=>[2,7,1,3,8,9,6,5,4,11,10,12]
[12,10,11,4,5,2,6,9,8,7,1,3]=>[3,1,7,8,9,6,2,5,4,11,10,12]
[12,10,3,11,5,6,9,2,8,7,1,4]=>[4,1,7,8,2,9,6,5,11,3,10,12]
[12,4,10,11,6,9,2,3,8,7,1,5]=>[5,1,7,8,3,2,9,6,11,10,4,12]
[12,10,11,9,2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2,9,11,10,12]
[12,11,7,8,9,5,3,1,10,6,4,2]=>[2,4,6,10,1,3,5,9,8,7,11,12]
[12,11,7,1,8,2,9,5,10,6,4,3]=>[3,4,6,10,5,9,2,8,1,7,11,12]
[12,11,7,3,8,4,9,1,10,6,5,2]=>[2,5,6,10,1,9,4,8,3,7,11,12]
[12,1,11,7,8,4,2,9,10,6,5,3]=>[3,5,6,10,9,2,4,8,7,11,1,12]
[1,2,12,11,7,3,8,9,10,6,5,4]=>[4,5,6,10,9,8,3,7,11,12,2,1]
[12,11,8,6,9,10,5,3,1,7,4,2]=>[2,4,7,1,3,5,10,9,6,8,11,12]
[12,11,8,6,1,9,2,10,5,7,4,3]=>[3,4,7,5,10,2,9,1,6,8,11,12]
[12,11,8,6,4,9,10,7,3,1,5,2]=>[2,5,1,3,7,10,9,4,6,8,11,12]
[12,11,8,6,4,2,9,10,7,5,1,3]=>[3,1,5,7,10,9,2,4,6,8,11,12]
[2,3,12,11,8,6,9,10,7,5,1,4]=>[4,1,5,7,10,9,6,8,11,12,3,2]
[4,5,12,11,8,9,10,7,3,1,6,2]=>[2,6,1,3,7,10,9,8,11,12,5,4]
[4,5,12,11,8,2,9,10,7,6,1,3]=>[3,1,6,7,10,9,2,8,11,12,5,4]
[5,3,12,2,11,8,9,10,7,6,1,4]=>[4,1,6,7,10,9,8,11,2,12,3,5]
[12,2,3,4,11,8,9,10,7,6,1,5]=>[5,1,6,7,10,9,8,11,4,3,2,12]
[12,7,11,9,10,5,6,3,1,8,4,2]=>[2,4,8,1,3,6,5,10,9,11,7,12]
[12,7,11,9,1,10,5,2,6,8,4,3]=>[3,4,8,6,2,5,10,1,9,11,7,12]
[12,7,11,9,4,10,6,8,3,1,5,2]=>[2,5,1,3,8,6,10,4,9,11,7,12]
[12,7,11,9,4,2,10,6,8,5,1,3]=>[3,1,5,8,6,10,2,4,9,11,7,12]
[2,12,7,3,11,9,10,6,8,5,1,4]=>[4,1,5,8,6,10,9,11,3,7,12,2]
[5,12,7,11,9,10,8,3,4,1,6,2]=>[2,6,1,4,3,8,10,9,11,7,12,5]
[5,12,7,11,9,2,10,8,4,6,1,3]=>[3,1,6,4,8,10,2,9,11,7,12,5]
[5,3,12,7,11,9,10,8,6,1,2,4]=>[4,2,1,6,8,10,9,11,7,12,3,5]
[12,3,4,7,11,9,10,8,6,1,2,5]=>[5,2,1,6,8,10,9,11,7,4,3,12]
[12,11,5,6,9,10,8,3,4,1,7,2]=>[2,7,1,4,3,8,10,9,6,5,11,12]
[12,11,5,6,9,2,10,8,4,7,1,3]=>[3,1,7,4,8,10,2,9,6,5,11,12]
[12,11,5,3,6,9,10,8,7,1,2,4]=>[4,2,1,7,8,10,9,6,3,5,11,12]
[12,4,11,6,9,10,3,8,7,1,2,5]=>[5,2,1,7,8,3,10,9,6,11,4,12]
[12,11,9,10,3,4,5,8,7,1,2,6]=>[6,2,1,7,8,5,4,3,10,9,11,12]
[12,11,10,5,6,7,8,3,1,9,4,2]=>[2,4,9,1,3,8,7,6,5,10,11,12]
[12,11,10,5,6,1,7,2,8,9,4,3]=>[3,4,9,8,2,7,1,6,5,10,11,12]
[12,11,10,6,7,4,8,9,3,1,5,2]=>[2,5,1,3,9,8,4,7,6,10,11,12]
[12,11,10,6,7,4,2,8,9,5,1,3]=>[3,1,5,9,8,2,4,7,6,10,11,12]
[2,12,11,10,6,3,7,8,9,5,1,4]=>[4,1,5,9,8,7,3,6,10,11,12,2]
[5,12,11,10,7,8,9,3,4,1,6,2]=>[2,6,1,4,3,9,8,7,10,11,12,5]
[5,12,11,10,7,8,2,9,4,6,1,3]=>[3,1,6,4,9,2,8,7,10,11,12,5]
[5,3,12,11,10,7,8,9,6,1,2,4]=>[4,2,1,6,9,8,7,10,11,12,3,5]
[12,3,4,11,10,7,8,9,6,1,2,5]=>[5,2,1,6,9,8,7,10,11,4,3,12]
[12,11,6,10,8,9,3,4,5,1,7,2]=>[2,7,1,5,4,3,9,8,10,6,11,12]
[12,11,6,10,8,9,4,2,5,7,1,3]=>[3,1,7,5,2,4,9,8,10,6,11,12]
[12,11,6,3,10,8,9,5,7,1,2,4]=>[4,2,1,7,5,9,8,10,3,6,11,12]
[12,4,11,6,10,8,9,7,1,2,3,5]=>[5,3,2,1,7,9,8,10,6,11,4,12]
[12,11,10,4,5,8,9,7,1,2,3,6]=>[6,3,2,1,7,9,8,5,4,10,11,12]
[12,11,10,9,3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3,9,10,11,12]
[12,11,10,9,4,5,6,2,7,8,1,3]=>[3,1,8,7,2,6,5,4,9,10,11,12]
[12,11,10,9,5,3,6,7,8,1,2,4]=>[4,2,1,8,7,6,3,5,9,10,11,12]
[12,4,11,10,9,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,9,10,11,4,12]
[12,11,10,5,9,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,9,5,10,11,12]
[12,11,10,9,8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8,9,10,11,12]
[12,11,10,3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3,10,11,12]
[12,1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1,12]
[12,1,11,2,10,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,10,2,11,1,12]
[2,1,4,3,6,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,6,3,4,1,2]
[2,1,4,3,6,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,6,3,4,1,2]
[2,1,4,3,6,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,6,3,4,1,2]
[2,1,4,3,8,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,8,3,4,1,2]
[2,1,4,3,8,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,8,3,4,1,2]
[2,1,4,3,10,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,10,3,4,1,2]
[2,1,4,3,12,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,12,3,4,1,2]
[2,1,4,3,12,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,12,3,4,1,2]
[2,1,4,3,10,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,10,3,4,1,2]
[2,1,4,3,12,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,12,3,4,1,2]
[2,1,4,3,12,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,12,3,4,1,2]
[2,1,4,3,12,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,12,3,4,1,2]
[2,1,6,4,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,4,6,1,2]
[2,1,6,4,3,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,3,4,6,1,2]
[2,1,6,4,3,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,3,4,6,1,2]
[2,1,6,4,3,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,3,4,6,1,2]
[2,1,6,4,3,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,3,4,6,1,2]
[2,1,8,4,3,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,3,4,8,1,2]
[2,1,8,4,3,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,3,4,8,1,2]
[2,1,10,4,3,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,3,4,10,1,2]
[2,1,12,4,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,4,12,1,2]
[2,1,12,4,3,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,3,4,12,1,2]
[2,1,10,4,3,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,3,4,10,1,2]
[2,1,12,4,3,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,3,4,12,1,2]
[2,1,12,4,3,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,3,4,12,1,2]
[2,1,12,4,3,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,3,4,12,1,2]
[2,1,8,6,4,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,4,6,8,1,2]
[2,1,8,6,4,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,4,6,8,1,2]
[2,1,10,6,4,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,4,6,10,1,2]
[2,1,12,6,4,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,4,6,12,1,2]
[2,1,12,6,4,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,4,6,12,1,2]
[2,1,10,8,4,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,4,8,10,1,2]
[2,1,12,8,4,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,4,8,12,1,2]
[2,1,12,10,4,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,4,10,12,1,2]
[2,1,12,10,4,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,4,10,12,1,2]
[2,1,10,8,6,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,6,8,10,1,2]
[2,1,12,8,6,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,6,8,12,1,2]
[2,1,12,10,6,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,6,10,12,1,2]
[2,1,12,10,8,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,8,10,12,1,2]
[2,1,12,10,8,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,8,10,12,1,2]
[4,2,1,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,1,2,4]
[4,2,1,3,6,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,6,3,1,2,4]
[4,2,1,3,6,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,6,3,1,2,4]
[4,2,1,3,6,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,6,3,1,2,4]
[4,2,1,3,6,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,6,3,1,2,4]
[4,2,1,3,8,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,8,3,1,2,4]
[4,2,1,3,8,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,8,3,1,2,4]
[4,2,1,3,10,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,10,3,1,2,4]
[4,2,1,3,12,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,12,3,1,2,4]
[4,2,1,3,12,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,12,3,1,2,4]
[4,2,1,3,10,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,10,3,1,2,4]
[4,2,1,3,12,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,12,3,1,2,4]
[4,2,1,3,12,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,12,3,1,2,4]
[4,2,1,3,12,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,12,3,1,2,4]
[6,2,1,4,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,4,1,2,6]
[6,2,1,4,3,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,3,4,1,2,6]
[6,2,1,4,3,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,3,4,1,2,6]
[6,2,1,4,3,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,3,4,1,2,6]
[6,2,1,4,3,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,3,4,1,2,6]
[8,2,1,4,3,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,3,4,1,2,8]
[8,2,1,4,3,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,3,4,1,2,8]
[10,2,1,4,3,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,3,4,1,2,10]
[12,2,1,4,3,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,3,4,1,2,12]
[10,2,1,4,3,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,3,4,1,2,10]
[12,2,1,4,3,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,3,4,1,2,12]
[12,2,1,4,3,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,3,4,1,2,12]
[12,2,1,4,3,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,3,4,1,2,12]
[8,2,1,6,4,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,4,6,1,2,8]
[8,2,1,6,4,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,4,6,1,2,8]
[10,2,1,6,4,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,4,6,1,2,10]
[12,2,1,6,4,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,4,6,1,2,12]
[12,2,1,6,4,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,4,6,1,2,12]
[10,2,1,8,4,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,4,8,1,2,10]
[12,2,1,8,4,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,4,8,1,2,12]
[12,2,1,10,4,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,4,10,1,2,12]
[10,2,1,8,6,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,6,8,1,2,10]
[12,2,1,8,6,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,6,8,1,2,12]
[12,2,1,10,6,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,6,10,1,2,12]
[12,2,1,10,8,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,8,10,1,2,12]
[12,2,1,10,8,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,8,10,1,2,12]
[6,4,2,1,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,1,2,4,6]
[6,4,2,1,3,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,3,1,2,4,6]
[6,4,2,1,3,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,3,1,2,4,6]
[6,4,2,1,3,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,3,1,2,4,6]
[6,4,2,1,3,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,3,1,2,4,6]
[8,4,2,1,3,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,3,1,2,4,8]
[8,4,2,1,3,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,3,1,2,4,8]
[10,4,2,1,3,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,3,1,2,4,10]
[12,4,2,1,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,1,2,4,12]
[12,4,2,1,3,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,3,1,2,4,12]
[10,4,2,1,3,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,3,1,2,4,10]
[12,4,2,1,3,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,3,1,2,4,12]
[12,4,2,1,3,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,3,1,2,4,12]
[12,4,2,1,3,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,3,1,2,4,12]
[8,6,2,1,4,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,4,1,2,6,8]
[8,6,2,1,4,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,4,1,2,6,8]
[10,6,2,1,4,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,4,1,2,6,10]
[12,6,2,1,4,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,4,1,2,6,12]
[12,6,2,1,4,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,4,1,2,6,12]
[10,8,2,1,4,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,4,1,2,8,10]
[12,8,2,1,4,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,4,1,2,8,12]
[12,10,2,1,4,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,4,1,2,10,12]
[12,10,2,1,4,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,4,1,2,10,12]
[10,8,2,1,6,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,6,1,2,8,10]
[12,8,2,1,6,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,6,1,2,8,12]
[12,10,2,1,6,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,6,1,2,10,12]
[12,10,2,1,8,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,8,1,2,10,12]
[12,10,2,1,8,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,8,1,2,10,12]
[8,6,4,2,1,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,1,2,4,6,8]
[8,6,4,2,1,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,1,2,4,6,8]
[10,6,4,2,1,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,1,2,4,6,10]
[12,6,4,2,1,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,1,2,4,6,12]
[12,6,4,2,1,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,1,2,4,6,12]
[10,8,4,2,1,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,1,2,4,8,10]
[12,8,4,2,1,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,1,2,4,8,12]
[12,10,4,2,1,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,1,2,4,10,12]
[12,10,4,2,1,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,1,2,4,10,12]
[10,8,6,2,1,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,1,2,6,8,10]
[12,8,6,2,1,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,1,2,6,8,12]
[12,10,6,2,1,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,1,2,6,10,12]
[12,10,8,2,1,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,1,2,8,10,12]
[12,10,8,2,1,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,1,2,8,10,12]
[10,8,6,4,2,1,3,5,7,9,12,11]=>[11,12,9,7,5,3,1,2,4,6,8,10]
[12,8,6,4,2,1,3,5,7,10,9,11]=>[11,9,10,7,5,3,1,2,4,6,8,12]
[12,10,6,4,2,1,3,5,8,7,9,11]=>[11,9,7,8,5,3,1,2,4,6,10,12]
[12,10,8,4,2,1,3,6,5,7,9,11]=>[11,9,7,5,6,3,1,2,4,8,10,12]
[12,10,8,6,2,1,4,3,5,7,9,11]=>[11,9,7,5,3,4,1,2,6,8,10,12]
[3,5,4,7,6,9,8,10,11,1,12,2]=>[2,12,1,11,10,8,9,6,7,4,5,3]
[3,5,4,7,6,8,11,9,10,12,1,2]=>[2,1,12,10,9,11,8,6,7,4,5,3]
[3,5,4,7,6,8,10,9,11,1,12,2]=>[2,12,1,11,9,10,8,6,7,4,5,3]
[3,5,4,7,6,8,9,10,1,11,12,2]=>[2,12,11,1,10,9,8,6,7,4,5,3]
[3,5,4,6,9,7,8,11,10,12,1,2]=>[2,1,12,10,11,8,7,9,6,4,5,3]
[3,5,4,6,9,7,8,10,11,1,12,2]=>[2,12,1,11,10,8,7,9,6,4,5,3]
[3,5,4,6,8,7,11,9,10,12,1,2]=>[2,1,12,10,9,11,7,8,6,4,5,3]
[3,5,4,6,8,7,10,9,11,1,12,2]=>[2,12,1,11,9,10,7,8,6,4,5,3]
[3,5,4,6,8,7,9,10,1,11,12,2]=>[2,12,11,1,10,9,7,8,6,4,5,3]
[3,5,4,6,7,11,8,9,10,12,1,2]=>[2,1,12,10,9,8,11,7,6,4,5,3]
[3,5,4,6,7,10,8,9,11,1,12,2]=>[2,12,1,11,9,8,10,7,6,4,5,3]
[3,5,4,6,7,9,8,10,1,11,12,2]=>[2,12,11,1,10,8,9,7,6,4,5,3]
[3,5,4,6,7,8,9,1,10,11,12,2]=>[2,12,11,10,1,9,8,7,6,4,5,3]
[3,4,7,5,6,9,8,11,10,12,1,2]=>[2,1,12,10,11,8,9,6,5,7,4,3]
[3,4,7,5,6,9,8,10,11,1,12,2]=>[2,12,1,11,10,8,9,6,5,7,4,3]
[3,4,7,5,6,8,11,9,10,12,1,2]=>[2,1,12,10,9,11,8,6,5,7,4,3]
[3,4,7,5,6,8,10,9,11,1,12,2]=>[2,12,1,11,9,10,8,6,5,7,4,3]
[3,4,7,5,6,8,9,10,1,11,12,2]=>[2,12,11,1,10,9,8,6,5,7,4,3]
[3,4,6,5,9,7,8,11,10,12,1,2]=>[2,1,12,10,11,8,7,9,5,6,4,3]
[3,4,6,5,9,7,8,10,11,1,12,2]=>[2,12,1,11,10,8,7,9,5,6,4,3]
[3,4,6,5,8,7,11,9,10,12,1,2]=>[2,1,12,10,9,11,7,8,5,6,4,3]
[3,4,6,5,8,7,10,9,11,1,12,2]=>[2,12,1,11,9,10,7,8,5,6,4,3]
[3,4,6,5,8,7,9,10,1,11,12,2]=>[2,12,11,1,10,9,7,8,5,6,4,3]
[3,4,6,5,7,11,8,9,10,12,1,2]=>[2,1,12,10,9,8,11,7,5,6,4,3]
[3,4,6,5,7,10,8,9,11,1,12,2]=>[2,12,1,11,9,8,10,7,5,6,4,3]
[3,4,6,5,7,9,8,10,1,11,12,2]=>[2,12,11,1,10,8,9,7,5,6,4,3]
[3,4,6,5,7,8,9,1,10,11,12,2]=>[2,12,11,10,1,9,8,7,5,6,4,3]
[3,4,5,9,6,7,8,11,10,12,1,2]=>[2,1,12,10,11,8,7,6,9,5,4,3]
[3,4,5,9,6,7,8,10,11,1,12,2]=>[2,12,1,11,10,8,7,6,9,5,4,3]
[3,4,5,8,6,7,11,9,10,12,1,2]=>[2,1,12,10,9,11,7,6,8,5,4,3]
[3,4,5,8,6,7,10,9,11,1,12,2]=>[2,12,1,11,9,10,7,6,8,5,4,3]
[3,4,5,8,6,7,9,10,1,11,12,2]=>[2,12,11,1,10,9,7,6,8,5,4,3]
[3,4,5,7,6,11,8,9,10,12,1,2]=>[2,1,12,10,9,8,11,6,7,5,4,3]
[3,4,5,7,6,10,8,9,11,1,12,2]=>[2,12,1,11,9,8,10,6,7,5,4,3]
[3,4,5,7,6,9,8,10,1,11,12,2]=>[2,12,11,1,10,8,9,6,7,5,4,3]
[3,4,5,7,6,8,9,1,10,11,12,2]=>[2,12,11,10,1,9,8,6,7,5,4,3]
[3,4,5,6,11,7,8,9,10,12,1,2]=>[2,1,12,10,9,8,7,11,6,5,4,3]
[3,4,5,6,10,7,8,9,11,1,12,2]=>[2,12,1,11,9,8,7,10,6,5,4,3]
[3,4,5,6,9,7,8,10,1,11,12,2]=>[2,12,11,1,10,8,7,9,6,5,4,3]
[3,4,5,6,8,7,9,1,10,11,12,2]=>[2,12,11,10,1,9,7,8,6,5,4,3]
[3,4,5,6,7,8,1,9,10,11,12,2]=>[2,12,11,10,9,1,8,7,6,5,4,3]
[2,5,4,7,6,9,8,11,10,12,3,1]=>[1,3,12,10,11,8,9,6,7,4,5,2]
[2,5,4,7,6,9,8,10,11,3,12,1]=>[1,12,3,11,10,8,9,6,7,4,5,2]
[2,5,4,7,6,8,11,9,10,12,3,1]=>[1,3,12,10,9,11,8,6,7,4,5,2]
[2,5,4,7,6,8,10,9,11,3,12,1]=>[1,12,3,11,9,10,8,6,7,4,5,2]
[2,5,4,7,6,8,9,10,3,11,12,1]=>[1,12,11,3,10,9,8,6,7,4,5,2]
[2,5,4,6,9,7,8,11,10,12,3,1]=>[1,3,12,10,11,8,7,9,6,4,5,2]
[2,5,4,6,9,7,8,10,11,3,12,1]=>[1,12,3,11,10,8,7,9,6,4,5,2]
[2,5,4,6,8,7,11,9,10,12,3,1]=>[1,3,12,10,9,11,7,8,6,4,5,2]
[2,5,4,6,8,7,10,9,11,3,12,1]=>[1,12,3,11,9,10,7,8,6,4,5,2]
[2,5,4,6,8,7,9,10,3,11,12,1]=>[1,12,11,3,10,9,7,8,6,4,5,2]
[2,5,4,6,7,11,8,9,10,12,3,1]=>[1,3,12,10,9,8,11,7,6,4,5,2]
[2,5,4,6,7,10,8,9,11,3,12,1]=>[1,12,3,11,9,8,10,7,6,4,5,2]
[2,5,4,6,7,9,8,10,3,11,12,1]=>[1,12,11,3,10,8,9,7,6,4,5,2]
[2,5,4,6,7,8,9,3,10,11,12,1]=>[1,12,11,10,3,9,8,7,6,4,5,2]
[2,4,7,5,6,9,8,11,10,12,3,1]=>[1,3,12,10,11,8,9,6,5,7,4,2]
[2,4,7,5,6,9,8,10,11,3,12,1]=>[1,12,3,11,10,8,9,6,5,7,4,2]
[2,4,7,5,6,8,11,9,10,12,3,1]=>[1,3,12,10,9,11,8,6,5,7,4,2]
[2,4,7,5,6,8,10,9,11,3,12,1]=>[1,12,3,11,9,10,8,6,5,7,4,2]
[2,4,7,5,6,8,9,10,3,11,12,1]=>[1,12,11,3,10,9,8,6,5,7,4,2]
[2,4,6,5,9,7,8,11,10,12,3,1]=>[1,3,12,10,11,8,7,9,5,6,4,2]
[2,4,6,5,9,7,8,10,11,3,12,1]=>[1,12,3,11,10,8,7,9,5,6,4,2]
[2,4,6,5,8,7,11,9,10,12,3,1]=>[1,3,12,10,9,11,7,8,5,6,4,2]
[2,4,6,5,8,7,10,9,11,3,12,1]=>[1,12,3,11,9,10,7,8,5,6,4,2]
[2,4,6,5,8,7,9,10,3,11,12,1]=>[1,12,11,3,10,9,7,8,5,6,4,2]
[2,4,6,5,7,11,8,9,10,12,3,1]=>[1,3,12,10,9,8,11,7,5,6,4,2]
[2,4,6,5,7,10,8,9,11,3,12,1]=>[1,12,3,11,9,8,10,7,5,6,4,2]
[2,4,6,5,7,9,8,10,3,11,12,1]=>[1,12,11,3,10,8,9,7,5,6,4,2]
[2,4,6,5,7,8,9,3,10,11,12,1]=>[1,12,11,10,3,9,8,7,5,6,4,2]
[2,4,5,9,6,7,8,11,10,12,3,1]=>[1,3,12,10,11,8,7,6,9,5,4,2]
[2,4,5,9,6,7,8,10,11,3,12,1]=>[1,12,3,11,10,8,7,6,9,5,4,2]
[2,4,5,8,6,7,11,9,10,12,3,1]=>[1,3,12,10,9,11,7,6,8,5,4,2]
[2,4,5,8,6,7,10,9,11,3,12,1]=>[1,12,3,11,9,10,7,6,8,5,4,2]
[2,4,5,8,6,7,9,10,3,11,12,1]=>[1,12,11,3,10,9,7,6,8,5,4,2]
[2,4,5,7,6,11,8,9,10,12,3,1]=>[1,3,12,10,9,8,11,6,7,5,4,2]
[2,4,5,7,6,10,8,9,11,3,12,1]=>[1,12,3,11,9,8,10,6,7,5,4,2]
[2,4,5,7,6,9,8,10,3,11,12,1]=>[1,12,11,3,10,8,9,6,7,5,4,2]
[2,4,5,7,6,8,9,3,10,11,12,1]=>[1,12,11,10,3,9,8,6,7,5,4,2]
[2,4,5,6,11,7,8,9,10,12,3,1]=>[1,3,12,10,9,8,7,11,6,5,4,2]
[2,4,5,6,10,7,8,9,11,3,12,1]=>[1,12,3,11,9,8,7,10,6,5,4,2]
[2,4,5,6,9,7,8,10,3,11,12,1]=>[1,12,11,3,10,8,7,9,6,5,4,2]
[2,4,5,6,8,7,9,3,10,11,12,1]=>[1,12,11,10,3,9,7,8,6,5,4,2]
[2,4,5,6,7,8,3,9,10,11,12,1]=>[1,12,11,10,9,3,8,7,6,5,4,2]
[2,3,7,5,6,9,8,11,10,12,1,4]=>[4,1,12,10,11,8,9,6,5,7,3,2]
[2,3,7,5,6,9,8,10,11,1,12,4]=>[4,12,1,11,10,8,9,6,5,7,3,2]
[2,3,7,5,6,8,11,9,10,12,1,4]=>[4,1,12,10,9,11,8,6,5,7,3,2]
[2,3,7,5,6,8,10,9,11,1,12,4]=>[4,12,1,11,9,10,8,6,5,7,3,2]
[2,3,7,5,6,8,9,10,1,11,12,4]=>[4,12,11,1,10,9,8,6,5,7,3,2]
[2,3,6,5,9,7,8,11,10,12,1,4]=>[4,1,12,10,11,8,7,9,5,6,3,2]
[2,3,6,5,9,7,8,10,11,1,12,4]=>[4,12,1,11,10,8,7,9,5,6,3,2]
[2,3,6,5,8,7,11,9,10,12,1,4]=>[4,1,12,10,9,11,7,8,5,6,3,2]
[2,3,6,5,8,7,10,9,11,1,12,4]=>[4,12,1,11,9,10,7,8,5,6,3,2]
[2,3,6,5,8,7,9,10,1,11,12,4]=>[4,12,11,1,10,9,7,8,5,6,3,2]
[2,3,6,5,7,11,8,9,10,12,1,4]=>[4,1,12,10,9,8,11,7,5,6,3,2]
[2,3,6,5,7,10,8,9,11,1,12,4]=>[4,12,1,11,9,8,10,7,5,6,3,2]
[2,3,6,5,7,9,8,10,1,11,12,4]=>[4,12,11,1,10,8,9,7,5,6,3,2]
[2,3,6,5,7,8,9,1,10,11,12,4]=>[4,12,11,10,1,9,8,7,5,6,3,2]
[2,3,5,9,6,7,8,11,10,12,1,4]=>[4,1,12,10,11,8,7,6,9,5,3,2]
[2,3,5,9,6,7,8,10,11,1,12,4]=>[4,12,1,11,10,8,7,6,9,5,3,2]
[2,3,5,8,6,7,11,9,10,12,1,4]=>[4,1,12,10,9,11,7,6,8,5,3,2]
[2,3,5,8,6,7,10,9,11,1,12,4]=>[4,12,1,11,9,10,7,6,8,5,3,2]
[2,3,5,8,6,7,9,10,1,11,12,4]=>[4,12,11,1,10,9,7,6,8,5,3,2]
[2,3,5,7,6,11,8,9,10,12,1,4]=>[4,1,12,10,9,8,11,6,7,5,3,2]
[2,3,5,7,6,10,8,9,11,1,12,4]=>[4,12,1,11,9,8,10,6,7,5,3,2]
[2,3,5,7,6,9,8,10,1,11,12,4]=>[4,12,11,1,10,8,9,6,7,5,3,2]
[2,3,5,7,6,8,9,1,10,11,12,4]=>[4,12,11,10,1,9,8,6,7,5,3,2]
[2,3,5,6,11,7,8,9,10,12,1,4]=>[4,1,12,10,9,8,7,11,6,5,3,2]
[2,3,5,6,10,7,8,9,11,1,12,4]=>[4,12,1,11,9,8,7,10,6,5,3,2]
[2,3,5,6,9,7,8,10,1,11,12,4]=>[4,12,11,1,10,8,7,9,6,5,3,2]
[2,3,5,6,8,7,9,1,10,11,12,4]=>[4,12,11,10,1,9,7,8,6,5,3,2]
[2,3,5,6,7,8,1,9,10,11,12,4]=>[4,12,11,10,9,1,8,7,6,5,3,2]
[2,3,4,9,6,7,8,11,10,12,5,1]=>[1,5,12,10,11,8,7,6,9,4,3,2]
[2,3,4,9,6,7,8,10,11,5,12,1]=>[1,12,5,11,10,8,7,6,9,4,3,2]
[2,3,4,8,6,7,11,9,10,12,5,1]=>[1,5,12,10,9,11,7,6,8,4,3,2]
[2,3,4,8,6,7,10,9,11,5,12,1]=>[1,12,5,11,9,10,7,6,8,4,3,2]
[2,3,4,8,6,7,9,10,5,11,12,1]=>[1,12,11,5,10,9,7,6,8,4,3,2]
[2,3,4,7,6,11,8,9,10,12,5,1]=>[1,5,12,10,9,8,11,6,7,4,3,2]
[2,3,4,7,6,10,8,9,11,5,12,1]=>[1,12,5,11,9,8,10,6,7,4,3,2]
[2,3,4,7,6,9,8,10,5,11,12,1]=>[1,12,11,5,10,8,9,6,7,4,3,2]
[2,3,4,6,11,7,8,9,10,12,5,1]=>[1,5,12,10,9,8,7,11,6,4,3,2]
[2,3,4,6,10,7,8,9,11,5,12,1]=>[1,12,5,11,9,8,7,10,6,4,3,2]
[2,3,4,6,9,7,8,10,5,11,12,1]=>[1,12,11,5,10,8,7,9,6,4,3,2]
[2,3,4,6,8,7,9,5,10,11,12,1]=>[1,12,11,10,5,9,7,8,6,4,3,2]
[2,3,4,6,7,8,5,9,10,11,12,1]=>[1,12,11,10,9,5,8,7,6,4,3,2]
[2,3,4,5,11,7,8,9,10,12,1,6]=>[6,1,12,10,9,8,7,11,5,4,3,2]
[2,3,4,5,10,7,8,9,11,1,12,6]=>[6,12,1,11,9,8,7,10,5,4,3,2]
[2,3,4,5,9,7,8,10,1,11,12,6]=>[6,12,11,1,10,8,7,9,5,4,3,2]
[2,3,4,5,8,7,9,1,10,11,12,6]=>[6,12,11,10,1,9,7,8,5,4,3,2]
[2,3,4,5,7,8,1,9,10,11,12,6]=>[6,12,11,10,9,1,8,7,5,4,3,2]
[12,5,11,4,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,4,11,5,12]
[12,5,11,4,10,3,9,2,1,8,7,6]=>[6,7,8,1,2,9,3,10,4,11,5,12]
[12,5,11,4,10,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,10,4,11,5,12]
[12,5,11,4,10,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,10,4,11,5,12]
[12,5,11,4,10,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,10,4,11,5,12]
[12,5,11,4,3,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,3,4,11,5,12]
[12,5,11,4,3,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,3,4,11,5,12]
[12,5,11,4,3,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,3,4,11,5,12]
[12,5,11,4,3,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,3,4,11,5,12]
[12,5,11,4,3,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,3,4,11,5,12]
[12,5,11,4,3,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,3,4,11,5,12]
[12,5,11,4,3,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,3,4,11,5,12]
[12,5,11,4,3,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,3,4,11,5,12]
[12,5,11,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,11,5,12]
[12,5,4,11,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,11,4,5,12]
[12,5,4,11,10,3,9,2,1,8,7,6]=>[6,7,8,1,2,9,3,10,11,4,5,12]
[12,5,4,11,10,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,10,11,4,5,12]
[12,5,4,11,10,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,10,11,4,5,12]
[12,5,4,11,10,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,10,11,4,5,12]
[12,5,4,11,3,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,3,11,4,5,12]
[12,5,4,11,3,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,3,11,4,5,12]
[12,5,4,11,3,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,3,11,4,5,12]
[12,5,4,11,3,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,3,11,4,5,12]
[12,5,4,11,3,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,3,11,4,5,12]
[12,5,4,11,3,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,3,11,4,5,12]
[12,5,4,11,3,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,3,11,4,5,12]
[12,5,4,11,3,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,3,11,4,5,12]
[12,5,4,11,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,11,4,5,12]
[12,5,4,3,11,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,11,3,4,5,12]
[12,5,4,3,11,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,11,3,4,5,12]
[12,5,4,3,11,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,11,3,4,5,12]
[12,5,4,3,11,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,11,3,4,5,12]
[12,5,4,3,11,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,11,3,4,5,12]
[12,5,4,3,11,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,11,3,4,5,12]
[12,5,4,3,11,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,11,3,4,5,12]
[12,5,4,3,11,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,11,3,4,5,12]
[12,5,4,3,11,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,11,3,4,5,12]
[12,5,4,3,2,11,10,9,8,1,7,6]=>[6,7,1,8,9,10,11,2,3,4,5,12]
[12,5,4,3,2,11,10,9,1,8,7,6]=>[6,7,8,1,9,10,11,2,3,4,5,12]
[12,5,4,3,2,11,10,1,9,8,7,6]=>[6,7,8,9,1,10,11,2,3,4,5,12]
[12,5,4,3,2,11,1,10,9,8,7,6]=>[6,7,8,9,10,1,11,2,3,4,5,12]
[12,5,4,3,2,1,11,10,9,8,7,6]=>[6,7,8,9,10,11,1,2,3,4,5,12]
[5,12,11,4,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,4,11,12,5]
[5,12,11,4,10,3,9,2,1,8,7,6]=>[6,7,8,1,2,9,3,10,4,11,12,5]
[5,12,11,4,10,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,10,4,11,12,5]
[5,12,11,4,10,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,10,4,11,12,5]
[5,12,11,4,10,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,10,4,11,12,5]
[5,12,11,4,3,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,3,4,11,12,5]
[5,12,11,4,3,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,3,4,11,12,5]
[5,12,11,4,3,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,3,4,11,12,5]
[5,12,11,4,3,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,3,4,11,12,5]
[5,12,11,4,3,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,3,4,11,12,5]
[5,12,11,4,3,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,3,4,11,12,5]
[5,12,11,4,3,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,3,4,11,12,5]
[5,12,11,4,3,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,3,4,11,12,5]
[5,12,11,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,11,12,5]
[5,12,4,11,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,11,4,12,5]
[5,12,4,11,10,3,9,2,1,8,7,6]=>[6,7,8,1,2,9,3,10,11,4,12,5]
[5,12,4,11,10,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,10,11,4,12,5]
[5,12,4,11,10,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,10,11,4,12,5]
[5,12,4,11,10,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,10,11,4,12,5]
[5,12,4,11,3,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,3,11,4,12,5]
[5,12,4,11,3,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,3,11,4,12,5]
[5,12,4,11,3,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,3,11,4,12,5]
[5,12,4,11,3,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,3,11,4,12,5]
[5,12,4,11,3,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,3,11,4,12,5]
[5,12,4,11,3,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,3,11,4,12,5]
[5,12,4,11,3,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,3,11,4,12,5]
[5,12,4,11,3,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,3,11,4,12,5]
[5,12,4,11,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,11,4,12,5]
[5,12,4,3,11,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,11,3,4,12,5]
[5,12,4,3,11,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,11,3,4,12,5]
[5,12,4,3,11,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,11,3,4,12,5]
[5,12,4,3,11,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,11,3,4,12,5]
[5,12,4,3,11,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,11,3,4,12,5]
[5,12,4,3,11,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,11,3,4,12,5]
[5,12,4,3,11,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,11,3,4,12,5]
[5,12,4,3,11,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,11,3,4,12,5]
[5,12,4,3,11,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,11,3,4,12,5]
[5,12,4,3,2,11,10,9,8,1,7,6]=>[6,7,1,8,9,10,11,2,3,4,12,5]
[5,12,4,3,2,11,10,9,1,8,7,6]=>[6,7,8,1,9,10,11,2,3,4,12,5]
[5,12,4,3,2,11,10,1,9,8,7,6]=>[6,7,8,9,1,10,11,2,3,4,12,5]
[5,12,4,3,2,11,1,10,9,8,7,6]=>[6,7,8,9,10,1,11,2,3,4,12,5]
[5,12,4,3,2,1,11,10,9,8,7,6]=>[6,7,8,9,10,11,1,2,3,4,12,5]
[5,4,12,11,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,11,12,4,5]
[5,4,12,11,10,3,9,2,1,8,7,6]=>[6,7,8,1,2,9,3,10,11,12,4,5]
[5,4,12,11,10,3,2,9,8,1,7,6]=>[6,7,1,8,9,2,3,10,11,12,4,5]
[5,4,12,11,10,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,10,11,12,4,5]
[5,4,12,11,10,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,10,11,12,4,5]
[5,4,12,11,3,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,3,11,12,4,5]
[5,4,12,11,3,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,3,11,12,4,5]
[5,4,12,11,3,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,3,11,12,4,5]
[5,4,12,11,3,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,3,11,12,4,5]
[5,4,12,11,3,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,3,11,12,4,5]
[5,4,12,11,3,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,3,11,12,4,5]
[5,4,12,11,3,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,3,11,12,4,5]
[5,4,12,11,3,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,3,11,12,4,5]
[5,4,12,11,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,11,12,4,5]
[5,4,12,3,11,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,11,3,12,4,5]
[5,4,12,3,11,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,11,3,12,4,5]
[5,4,12,3,11,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,11,3,12,4,5]
[5,4,12,3,11,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,11,3,12,4,5]
[5,4,12,3,11,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,11,3,12,4,5]
[5,4,12,3,11,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,11,3,12,4,5]
[5,4,12,3,11,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,11,3,12,4,5]
[5,4,12,3,11,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,11,3,12,4,5]
[5,4,12,3,11,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,11,3,12,4,5]
[5,4,12,3,2,11,10,9,8,1,7,6]=>[6,7,1,8,9,10,11,2,3,12,4,5]
[5,4,12,3,2,11,10,9,1,8,7,6]=>[6,7,8,1,9,10,11,2,3,12,4,5]
[5,4,12,3,2,11,10,1,9,8,7,6]=>[6,7,8,9,1,10,11,2,3,12,4,5]
[5,4,12,3,2,11,1,10,9,8,7,6]=>[6,7,8,9,10,1,11,2,3,12,4,5]
[5,4,12,3,2,1,11,10,9,8,7,6]=>[6,7,8,9,10,11,1,2,3,12,4,5]
[5,4,3,12,11,10,9,2,8,1,7,6]=>[6,7,1,8,2,9,10,11,12,3,4,5]
[5,4,3,12,11,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,11,12,3,4,5]
[5,4,3,12,11,10,2,9,8,1,7,6]=>[6,7,1,8,9,2,10,11,12,3,4,5]
[5,4,3,12,11,10,2,9,1,8,7,6]=>[6,7,8,1,9,2,10,11,12,3,4,5]
[5,4,3,12,11,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,11,12,3,4,5]
[5,4,3,12,11,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,11,12,3,4,5]
[5,4,3,12,11,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,11,12,3,4,5]
[5,4,3,12,11,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,11,12,3,4,5]
[5,4,3,12,11,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,11,12,3,4,5]
[5,4,3,12,2,11,10,9,8,1,7,6]=>[6,7,1,8,9,10,11,2,12,3,4,5]
[5,4,3,12,2,11,10,9,1,8,7,6]=>[6,7,8,1,9,10,11,2,12,3,4,5]
[5,4,3,12,2,11,10,1,9,8,7,6]=>[6,7,8,9,1,10,11,2,12,3,4,5]
[5,4,3,12,2,11,1,10,9,8,7,6]=>[6,7,8,9,10,1,11,2,12,3,4,5]
[5,4,3,12,2,1,11,10,9,8,7,6]=>[6,7,8,9,10,11,1,2,12,3,4,5]
[5,4,3,2,12,11,10,9,8,1,7,6]=>[6,7,1,8,9,10,11,12,2,3,4,5]
[5,4,3,2,12,11,10,9,1,8,7,6]=>[6,7,8,1,9,10,11,12,2,3,4,5]
[5,4,3,2,12,11,10,1,9,8,7,6]=>[6,7,8,9,1,10,11,12,2,3,4,5]
[5,4,3,2,12,11,1,10,9,8,7,6]=>[6,7,8,9,10,1,11,12,2,3,4,5]
[5,4,3,2,12,1,11,10,9,8,7,6]=>[6,7,8,9,10,11,1,12,2,3,4,5]
[9,7,5,3,1,12,10,8,6,4,2,11]=>[11,2,4,6,8,10,12,1,3,5,7,9]
[11,9,7,5,3,1,12,2,4,6,8,10]=>[10,8,6,4,2,12,1,3,5,7,9,11]
[12,9,7,5,3,1,10,2,4,6,8,11]=>[11,8,6,4,2,10,1,3,5,7,9,12]
[11,7,5,3,1,12,9,2,4,6,8,10]=>[10,8,6,4,2,9,12,1,3,5,7,11]
[10,7,5,3,1,11,8,12,2,4,6,9]=>[9,6,4,2,12,8,11,1,3,5,7,10]
[12,10,7,5,3,1,8,2,4,6,9,11]=>[11,9,6,4,2,8,1,3,5,7,10,12]
[11,9,5,3,1,12,7,2,4,6,8,10]=>[10,8,6,4,2,7,12,1,3,5,9,11]
[12,9,5,3,1,10,7,2,4,6,8,11]=>[11,8,6,4,2,7,10,1,3,5,9,12]
[11,5,3,1,12,9,7,2,4,6,8,10]=>[10,8,6,4,2,7,9,12,1,3,5,11]
[10,5,3,1,11,8,6,12,2,4,7,9]=>[9,7,4,2,12,6,8,11,1,3,5,10]
[12,8,5,3,1,9,6,10,2,4,7,11]=>[11,7,4,2,10,6,9,1,3,5,8,12]
[11,5,3,1,12,8,6,9,2,4,7,10]=>[10,7,4,2,9,6,8,12,1,3,5,11]
[10,5,3,1,11,6,12,8,2,4,7,9]=>[9,7,4,2,8,12,6,11,1,3,5,10]
[9,5,3,1,10,6,11,7,12,2,4,8]=>[8,4,2,12,7,11,6,10,1,3,5,9]
[12,10,8,5,3,1,6,2,4,7,9,11]=>[11,9,7,4,2,6,1,3,5,8,10,12]
[11,9,7,3,1,12,5,2,4,6,8,10]=>[10,8,6,4,2,5,12,1,3,7,9,11]
[12,9,7,3,1,10,5,2,4,6,8,11]=>[11,8,6,4,2,5,10,1,3,7,9,12]
[11,7,3,1,12,9,5,2,4,6,8,10]=>[10,8,6,4,2,5,9,12,1,3,7,11]
[10,7,3,1,11,8,4,12,2,5,6,9]=>[9,6,5,2,12,4,8,11,1,3,7,10]
[12,10,7,3,1,8,5,2,4,6,9,11]=>[11,9,6,4,2,5,8,1,3,7,10,12]
[11,9,3,1,12,7,5,2,4,6,8,10]=>[10,8,6,4,2,5,7,12,1,3,9,11]
[12,9,3,1,10,7,5,2,4,6,8,11]=>[11,8,6,4,2,5,7,10,1,3,9,12]
[11,3,1,12,9,7,5,2,4,6,8,10]=>[10,8,6,4,2,5,7,9,12,1,3,11]
[10,3,1,11,8,6,4,12,2,5,7,9]=>[9,7,5,2,12,4,6,8,11,1,3,10]
[12,8,3,1,9,6,4,10,2,5,7,11]=>[11,7,5,2,10,4,6,9,1,3,8,12]
[11,3,1,12,8,6,4,9,2,5,7,10]=>[10,7,5,2,9,4,6,8,12,1,3,11]
[10,3,1,11,6,4,12,8,2,5,7,9]=>[9,7,5,2,8,12,4,6,11,1,3,10]
[9,3,1,10,6,4,11,7,12,2,5,8]=>[8,5,2,12,7,11,4,6,10,1,3,9]
[12,10,6,3,1,7,4,8,2,5,9,11]=>[11,9,5,2,8,4,7,1,3,6,10,12]
[11,9,3,1,12,6,4,7,2,5,8,10]=>[10,8,5,2,7,4,6,12,1,3,9,11]
[12,9,3,1,10,6,4,7,2,5,8,11]=>[11,8,5,2,7,4,6,10,1,3,9,12]
[11,3,1,12,9,6,4,7,2,5,8,10]=>[10,8,5,2,7,4,6,9,12,1,3,11]
[10,3,1,11,8,4,12,6,2,5,7,9]=>[9,7,5,2,6,12,4,8,11,1,3,10]
[12,8,3,1,9,4,10,6,2,5,7,11]=>[11,7,5,2,6,10,4,9,1,3,8,12]
[11,3,1,12,8,4,9,6,2,5,7,10]=>[10,7,5,2,6,9,4,8,12,1,3,11]
[10,3,1,11,4,12,8,6,2,5,7,9]=>[9,7,5,2,6,8,12,4,11,1,3,10]
[9,3,1,10,4,11,7,5,12,2,6,8]=>[8,6,2,12,5,7,11,4,10,1,3,9]
[12,7,3,1,8,4,9,5,10,2,6,11]=>[11,6,2,10,5,9,4,8,1,3,7,12]
[11,3,1,12,7,4,8,5,9,2,6,10]=>[10,6,2,9,5,8,4,7,12,1,3,11]
[10,3,1,11,4,12,7,5,8,2,6,9]=>[9,6,2,8,5,7,12,4,11,1,3,10]
[9,3,1,10,4,11,5,12,7,2,6,8]=>[8,6,2,7,12,5,11,4,10,1,3,9]
[8,3,1,9,4,10,5,11,6,12,2,7]=>[7,2,12,6,11,5,10,4,9,1,3,8]
[11,9,7,5,1,12,3,2,4,6,8,10]=>[10,8,6,4,2,3,12,1,5,7,9,11]
[12,9,7,5,1,10,3,2,4,6,8,11]=>[11,8,6,4,2,3,10,1,5,7,9,12]
[11,7,5,1,12,9,3,2,4,6,8,10]=>[10,8,6,4,2,3,9,12,1,5,7,11]
[10,7,5,1,11,8,2,12,3,4,6,9]=>[9,6,4,3,12,2,8,11,1,5,7,10]
[12,10,7,5,1,8,3,2,4,6,9,11]=>[11,9,6,4,2,3,8,1,5,7,10,12]
[11,9,5,1,12,7,3,2,4,6,8,10]=>[10,8,6,4,2,3,7,12,1,5,9,11]
[12,9,5,1,10,7,3,2,4,6,8,11]=>[11,8,6,4,2,3,7,10,1,5,9,12]
[11,5,1,12,9,7,3,2,4,6,8,10]=>[10,8,6,4,2,3,7,9,12,1,5,11]
[10,5,1,11,8,6,2,12,3,4,7,9]=>[9,7,4,3,12,2,6,8,11,1,5,10]
[12,8,5,1,9,6,2,10,3,4,7,11]=>[11,7,4,3,10,2,6,9,1,5,8,12]
[11,5,1,12,8,6,2,9,3,4,7,10]=>[10,7,4,3,9,2,6,8,12,1,5,11]
[10,5,1,11,6,2,12,8,3,4,7,9]=>[9,7,4,3,8,12,2,6,11,1,5,10]
[9,5,1,10,6,2,11,7,12,3,4,8]=>[8,4,3,12,7,11,2,6,10,1,5,9]
[11,9,7,1,12,5,3,2,4,6,8,10]=>[10,8,6,4,2,3,5,12,1,7,9,11]
[12,9,7,1,10,5,3,2,4,6,8,11]=>[11,8,6,4,2,3,5,10,1,7,9,12]
[11,7,1,12,9,5,3,2,4,6,8,10]=>[10,8,6,4,2,3,5,9,12,1,7,11]
[10,7,1,11,8,4,2,12,3,5,6,9]=>[9,6,5,3,12,2,4,8,11,1,7,10]
[11,9,1,12,7,5,3,2,4,6,8,10]=>[10,8,6,4,2,3,5,7,12,1,9,11]
[10,1,11,8,6,4,2,12,3,5,7,9]=>[9,7,5,3,12,2,4,6,8,11,1,10]
[12,8,1,9,6,4,2,10,3,5,7,11]=>[11,7,5,3,10,2,4,6,9,1,8,12]
[11,1,12,8,6,4,2,9,3,5,7,10]=>[10,7,5,3,9,2,4,6,8,12,1,11]
[10,1,11,6,4,2,12,8,3,5,7,9]=>[9,7,5,3,8,12,2,4,6,11,1,10]
[9,1,10,6,4,2,11,7,12,3,5,8]=>[8,5,3,12,7,11,2,4,6,10,1,9]
[12,10,6,1,7,4,2,8,3,5,9,11]=>[11,9,5,3,8,2,4,7,1,6,10,12]
[11,9,1,12,6,4,2,7,3,5,8,10]=>[10,8,5,3,7,2,4,6,12,1,9,11]
[12,9,1,10,6,4,2,7,3,5,8,11]=>[11,8,5,3,7,2,4,6,10,1,9,12]
[11,1,12,9,6,4,2,7,3,5,8,10]=>[10,8,5,3,7,2,4,6,9,12,1,11]
[10,1,11,8,4,2,12,6,3,5,7,9]=>[9,7,5,3,6,12,2,4,8,11,1,10]
[12,8,1,9,4,2,10,6,3,5,7,11]=>[11,7,5,3,6,10,2,4,9,1,8,12]
[11,1,12,8,4,2,9,6,3,5,7,10]=>[10,7,5,3,6,9,2,4,8,12,1,11]
[10,1,11,4,2,12,8,6,3,5,7,9]=>[9,7,5,3,6,8,12,2,4,11,1,10]
[9,1,10,4,2,11,7,5,12,3,6,8]=>[8,6,3,12,5,7,11,2,4,10,1,9]
[12,7,1,8,4,2,9,5,10,3,6,11]=>[11,6,3,10,5,9,2,4,8,1,7,12]
[11,1,12,7,4,2,8,5,9,3,6,10]=>[10,6,3,9,5,8,2,4,7,12,1,11]
[10,1,11,4,2,12,7,5,8,3,6,9]=>[9,6,3,8,5,7,12,2,4,11,1,10]
[9,1,10,4,2,11,5,12,7,3,6,8]=>[8,6,3,7,12,5,11,2,4,10,1,9]
[8,1,9,4,2,10,5,11,6,12,3,7]=>[7,3,12,6,11,5,10,2,4,9,1,8]
[11,9,7,1,12,4,2,5,3,6,8,10]=>[10,8,6,3,5,2,4,12,1,7,9,11]
[12,9,7,1,10,4,2,5,3,6,8,11]=>[11,8,6,3,5,2,4,10,1,7,9,12]
[11,7,1,12,9,4,2,5,3,6,8,10]=>[10,8,6,3,5,2,4,9,12,1,7,11]
[10,7,1,11,8,2,12,4,3,5,6,9]=>[9,6,5,3,4,12,2,8,11,1,7,10]
[11,9,1,12,7,4,2,5,3,6,8,10]=>[10,8,6,3,5,2,4,7,12,1,9,11]
[10,1,11,8,6,2,12,4,3,5,7,9]=>[9,7,5,3,4,12,2,6,8,11,1,10]
[12,8,1,9,6,2,10,4,3,5,7,11]=>[11,7,5,3,4,10,2,6,9,1,8,12]
[11,1,12,8,6,2,9,4,3,5,7,10]=>[10,7,5,3,4,9,2,6,8,12,1,11]
[10,1,11,6,2,12,8,4,3,5,7,9]=>[9,7,5,3,4,8,12,2,6,11,1,10]
[9,1,10,6,2,11,7,3,12,4,5,8]=>[8,5,4,12,3,7,11,2,6,10,1,9]
[11,9,1,12,6,2,7,4,3,5,8,10]=>[10,8,5,3,4,7,2,6,12,1,9,11]
[10,1,11,8,2,12,6,4,3,5,7,9]=>[9,7,5,3,4,6,12,2,8,11,1,10]
[9,1,10,2,11,7,5,3,12,4,6,8]=>[8,6,4,12,3,5,7,11,2,10,1,9]
[12,7,1,8,2,9,5,3,10,4,6,11]=>[11,6,4,10,3,5,9,2,8,1,7,12]
[11,1,12,7,2,8,5,3,9,4,6,10]=>[10,6,4,9,3,5,8,2,7,12,1,11]
[10,1,11,2,12,7,5,3,8,4,6,9]=>[9,6,4,8,3,5,7,12,2,11,1,10]
[9,1,10,2,11,5,3,12,7,4,6,8]=>[8,6,4,7,12,3,5,11,2,10,1,9]
[8,1,9,2,10,5,3,11,6,12,4,7]=>[7,4,12,6,11,3,5,10,2,9,1,8]
[11,9,1,12,5,2,6,3,7,4,8,10]=>[10,8,4,7,3,6,2,5,12,1,9,11]
[10,1,11,8,2,12,5,3,6,4,7,9]=>[9,7,4,6,3,5,12,2,8,11,1,10]
[9,1,10,2,11,7,3,12,5,4,6,8]=>[8,6,4,5,12,3,7,11,2,10,1,9]
[8,1,9,2,10,3,11,6,4,12,5,7]=>[7,5,12,4,6,11,3,10,2,9,1,8]
[2,1,4,3,6,5,12,11,8,7,9,10]=>[10,9,7,8,11,12,5,6,3,4,1,2]
[2,1,4,3,10,9,6,5,7,8,12,11]=>[11,12,8,7,5,6,9,10,3,4,1,2]
[2,1,4,3,12,9,6,11,7,5,8,10]=>[10,8,5,7,11,6,9,12,3,4,1,2]
[2,1,4,3,12,11,6,5,7,8,9,10]=>[10,9,8,7,5,6,11,12,3,4,1,2]
[2,1,4,3,12,11,6,7,8,5,9,10]=>[10,9,5,8,7,6,11,12,3,4,1,2]
[2,1,4,3,12,5,10,7,6,8,9,11]=>[11,9,8,6,7,10,5,12,3,4,1,2]
[2,1,6,3,4,5,12,11,8,7,9,10]=>[10,9,7,8,11,12,5,4,3,6,1,2]
[2,1,8,7,4,3,5,6,10,9,12,11]=>[11,12,9,10,6,5,3,4,7,8,1,2]
[2,1,8,7,4,3,5,6,12,9,10,11]=>[11,10,9,12,6,5,3,4,7,8,1,2]
[2,1,10,7,4,9,5,3,6,8,12,11]=>[11,12,8,6,3,5,9,4,7,10,1,2]
[2,1,12,7,4,9,5,11,6,3,8,10]=>[10,8,3,6,11,5,9,4,7,12,1,2]
[2,1,12,7,4,11,5,3,6,8,9,10]=>[10,9,8,6,3,5,11,4,7,12,1,2]
[2,1,10,9,4,3,5,6,7,8,12,11]=>[11,12,8,7,6,5,3,4,9,10,1,2]
[2,1,12,9,4,11,5,6,7,3,8,10]=>[10,8,3,7,6,5,11,4,9,12,1,2]
[2,1,12,10,4,3,11,6,5,7,8,9]=>[9,8,7,5,6,11,3,4,10,12,1,2]
[2,1,12,11,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,11,12,1,2]
[2,1,10,9,4,5,6,3,7,8,12,11]=>[11,12,8,7,3,6,5,4,9,10,1,2]
[2,1,12,9,4,5,6,11,7,3,8,10]=>[10,8,3,7,11,6,5,4,9,12,1,2]
[2,1,12,11,4,5,6,3,7,8,9,10]=>[10,9,8,7,3,6,5,4,11,12,1,2]
[2,1,10,3,8,5,4,6,7,9,12,11]=>[11,12,9,7,6,4,5,8,3,10,1,2]
[2,1,12,11,8,5,4,6,7,3,9,10]=>[10,9,3,7,6,4,5,8,11,12,1,2]
[2,1,12,3,8,5,10,6,4,7,9,11]=>[11,9,7,4,6,10,5,8,3,12,1,2]
[2,1,12,3,10,5,4,6,7,8,9,11]=>[11,9,8,7,6,4,5,10,3,12,1,2]
[2,1,12,11,4,5,6,7,8,3,9,10]=>[10,9,3,8,7,6,5,4,11,12,1,2]
[2,1,12,3,10,5,6,7,4,8,9,11]=>[11,9,8,4,7,6,5,10,3,12,1,2]
[2,1,12,3,4,9,6,5,7,8,10,11]=>[11,10,8,7,5,6,9,4,3,12,1,2]
[4,1,2,3,6,5,12,11,8,7,9,10]=>[10,9,7,8,11,12,5,6,3,2,1,4]
[4,1,2,3,10,9,6,5,7,8,12,11]=>[11,12,8,7,5,6,9,10,3,2,1,4]
[4,1,2,3,12,9,6,11,7,5,8,10]=>[10,8,5,7,11,6,9,12,3,2,1,4]
[4,1,2,3,12,11,6,5,7,8,9,10]=>[10,9,8,7,5,6,11,12,3,2,1,4]
[4,1,2,3,12,11,6,7,8,5,9,10]=>[10,9,5,8,7,6,11,12,3,2,1,4]
[4,1,2,3,12,5,10,7,6,8,9,11]=>[11,9,8,6,7,10,5,12,3,2,1,4]
[6,5,2,1,3,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,3,1,2,5,6]
[6,5,2,1,3,4,8,7,12,9,10,11]=>[11,10,9,12,7,8,4,3,1,2,5,6]
[6,5,2,1,3,4,10,7,8,9,12,11]=>[11,12,9,8,7,10,4,3,1,2,5,6]
[6,5,2,1,3,4,12,11,8,7,9,10]=>[10,9,7,8,11,12,4,3,1,2,5,6]
[6,5,2,1,3,4,12,7,8,9,10,11]=>[11,10,9,8,7,12,4,3,1,2,5,6]
[8,5,2,7,3,1,4,6,10,9,12,11]=>[11,12,9,10,6,4,1,3,7,2,5,8]
[8,5,2,7,3,1,4,6,12,9,10,11]=>[11,10,9,12,6,4,1,3,7,2,5,8]
[10,5,2,7,3,9,4,1,6,8,12,11]=>[11,12,8,6,1,4,9,3,7,2,5,10]
[12,5,2,7,3,9,4,11,6,1,8,10]=>[10,8,1,6,11,4,9,3,7,2,5,12]
[12,5,2,7,3,11,4,1,6,8,9,10]=>[10,9,8,6,1,4,11,3,7,2,5,12]
[10,5,2,9,3,1,4,6,7,8,12,11]=>[11,12,8,7,6,4,1,3,9,2,5,10]
[12,5,2,9,3,11,4,6,7,1,8,10]=>[10,8,1,7,6,4,11,3,9,2,5,12]
[12,5,2,10,3,1,11,6,4,7,8,9]=>[9,8,7,4,6,11,1,3,10,2,5,12]
[12,5,2,11,3,1,4,6,7,8,9,10]=>[10,9,8,7,6,4,1,3,11,2,5,12]
[8,7,2,1,3,4,5,6,10,9,12,11]=>[11,12,9,10,6,5,4,3,1,2,7,8]
[8,7,2,1,3,4,5,6,12,9,10,11]=>[11,10,9,12,6,5,4,3,1,2,7,8]
[10,7,2,9,3,4,5,1,6,8,12,11]=>[11,12,8,6,1,5,4,3,9,2,7,10]
[12,7,2,9,3,4,5,11,6,1,8,10]=>[10,8,1,6,11,5,4,3,9,2,7,12]
[12,7,2,11,3,4,5,1,6,8,9,10]=>[10,9,8,6,1,5,4,3,11,2,7,12]
[10,8,2,1,9,4,3,5,6,7,12,11]=>[11,12,7,6,5,3,4,9,1,2,8,10]
[12,8,2,11,9,4,3,5,6,1,7,10]=>[10,7,1,6,5,3,4,9,11,2,8,12]
[12,8,2,1,10,4,11,5,3,6,7,9]=>[9,7,6,3,5,11,4,10,1,2,8,12]
[12,10,2,1,11,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,11,1,2,10,12]
[10,9,2,1,3,4,5,6,7,8,12,11]=>[11,12,8,7,6,5,4,3,1,2,9,10]
[12,9,2,11,3,4,5,6,7,1,8,10]=>[10,8,1,7,6,5,4,3,11,2,9,12]
[12,10,2,1,11,4,5,6,3,7,8,9]=>[9,8,7,3,6,5,4,11,1,2,10,12]
[12,9,2,1,3,11,5,4,6,7,8,10]=>[10,8,7,6,4,5,11,3,1,2,9,12]
[12,11,2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2,11,12]
[6,1,2,3,4,5,12,11,8,7,9,10]=>[10,9,7,8,11,12,5,4,3,2,1,6]
[8,7,2,3,4,1,5,6,10,9,12,11]=>[11,12,9,10,6,5,1,4,3,2,7,8]
[8,7,2,3,4,1,5,6,12,9,10,11]=>[11,10,9,12,6,5,1,4,3,2,7,8]
[10,7,2,3,4,9,5,1,6,8,12,11]=>[11,12,8,6,1,5,9,4,3,2,7,10]
[12,7,2,3,4,9,5,11,6,1,8,10]=>[10,8,1,6,11,5,9,4,3,2,7,12]
[12,7,2,3,4,11,5,1,6,8,9,10]=>[10,9,8,6,1,5,11,4,3,2,7,12]
[10,9,2,3,4,1,5,6,7,8,12,11]=>[11,12,8,7,6,5,1,4,3,2,9,10]
[12,9,2,3,4,11,5,6,7,1,8,10]=>[10,8,1,7,6,5,11,4,3,2,9,12]
[12,10,2,3,4,1,11,6,5,7,8,9]=>[9,8,7,5,6,11,1,4,3,2,10,12]
[12,11,2,3,4,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,4,3,2,11,12]
[8,1,6,3,2,4,5,7,10,9,12,11]=>[11,12,9,10,7,5,4,2,3,6,1,8]
[8,1,6,3,2,4,5,7,12,9,10,11]=>[11,10,9,12,7,5,4,2,3,6,1,8]
[10,9,6,3,2,4,5,1,7,8,12,11]=>[11,12,8,7,1,5,4,2,3,6,9,10]
[12,9,6,3,2,4,5,11,7,1,8,10]=>[10,8,1,7,11,5,4,2,3,6,9,12]
[12,11,6,3,2,4,5,1,7,8,9,10]=>[10,9,8,7,1,5,4,2,3,6,11,12]
[10,1,6,3,8,4,2,5,7,9,12,11]=>[11,12,9,7,5,2,4,8,3,6,1,10]
[12,11,6,3,8,4,2,5,7,1,9,10]=>[10,9,1,7,5,2,4,8,3,6,11,12]
[12,1,6,3,8,4,10,5,2,7,9,11]=>[11,9,7,2,5,10,4,8,3,6,1,12]
[12,1,6,3,10,4,2,5,7,8,9,11]=>[11,9,8,7,5,2,4,10,3,6,1,12]
[10,1,8,3,2,4,5,6,7,9,12,11]=>[11,12,9,7,6,5,4,2,3,8,1,10]
[12,11,8,3,2,4,5,6,7,1,9,10]=>[10,9,1,7,6,5,4,2,3,8,11,12]
[12,1,8,3,10,4,5,6,2,7,9,11]=>[11,9,7,2,6,5,4,10,3,8,1,12]
[12,1,9,3,2,10,5,4,6,7,8,11]=>[11,8,7,6,4,5,10,2,3,9,1,12]
[12,1,10,3,2,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,2,3,10,1,12]
[10,9,2,3,4,5,6,1,7,8,12,11]=>[11,12,8,7,1,6,5,4,3,2,9,10]
[12,9,2,3,4,5,6,11,7,1,8,10]=>[10,8,1,7,11,6,5,4,3,2,9,12]
[12,11,2,3,4,5,6,1,7,8,9,10]=>[10,9,8,7,1,6,5,4,3,2,11,12]
[10,1,8,3,4,5,2,6,7,9,12,11]=>[11,12,9,7,6,2,5,4,3,8,1,10]
[12,11,8,3,4,5,2,6,7,1,9,10]=>[10,9,1,7,6,2,5,4,3,8,11,12]
[12,1,8,3,4,5,10,6,2,7,9,11]=>[11,9,7,2,6,10,5,4,3,8,1,12]
[12,1,10,3,4,5,2,6,7,8,9,11]=>[11,9,8,7,6,2,5,4,3,10,1,12]
[10,1,2,7,4,3,5,6,8,9,12,11]=>[11,12,9,8,6,5,3,4,7,2,1,10]
[12,11,2,7,4,3,5,6,8,1,9,10]=>[10,9,1,8,6,5,3,4,7,2,11,12]
[12,1,10,7,4,3,5,6,2,8,9,11]=>[11,9,8,2,6,5,3,4,7,10,1,12]
[12,1,2,7,4,9,5,3,6,8,10,11]=>[11,10,8,6,3,5,9,4,7,2,1,12]
[12,1,2,9,4,3,5,6,7,8,10,11]=>[11,10,8,7,6,5,3,4,9,2,1,12]
[12,11,2,3,4,5,6,7,8,1,9,10]=>[10,9,1,8,7,6,5,4,3,2,11,12]
[12,1,10,3,4,5,6,7,2,8,9,11]=>[11,9,8,2,7,6,5,4,3,10,1,12]
[12,1,2,9,4,5,6,3,7,8,10,11]=>[11,10,8,7,3,6,5,4,9,2,1,12]
[12,1,2,3,8,5,4,6,7,9,10,11]=>[11,10,9,7,6,4,5,8,3,2,1,12]
[2,12,11,10,9,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,9,10,11,12,2]
[10,7,11,8,9,5,3,1,12,6,4,2]=>[2,4,6,12,1,3,5,9,8,11,7,10]
[11,5,8,6,9,7,3,1,12,10,4,2]=>[2,4,10,12,1,3,7,9,6,8,5,11]
[10,8,5,11,9,6,7,3,1,12,4,2]=>[2,4,12,1,3,7,6,9,11,5,8,10]
[8,9,10,5,11,6,7,3,1,12,4,2]=>[2,4,12,1,3,7,6,11,5,10,9,8]
[5,6,10,7,11,8,9,3,1,12,4,2]=>[2,4,12,1,3,9,8,11,7,10,6,5]
[9,5,10,6,7,8,11,3,1,12,4,2]=>[2,4,12,1,3,11,8,7,6,10,5,9]
[10,7,3,11,8,4,9,5,1,12,6,2]=>[2,6,12,1,5,9,4,8,11,3,7,10]
[11,3,6,4,9,7,5,1,12,10,8,2]=>[2,8,10,12,1,5,7,9,4,6,3,11]
[3,8,11,9,6,4,7,5,1,12,10,2]=>[2,10,12,1,5,7,4,6,9,11,8,3]
[10,8,6,3,11,9,7,4,5,1,12,2]=>[2,12,1,5,4,7,9,11,3,6,8,10]
[8,9,10,6,3,11,7,4,5,1,12,2]=>[2,12,1,5,4,7,11,3,6,10,9,8]
[3,6,11,7,8,4,9,5,1,12,10,2]=>[2,10,12,1,5,9,4,8,7,11,6,3]
[6,7,10,8,3,11,9,4,5,1,12,2]=>[2,12,1,5,4,9,11,3,8,10,7,6]
[9,6,10,7,8,3,11,4,5,1,12,2]=>[2,12,1,5,4,11,3,8,7,10,6,9]
[6,7,8,9,10,3,11,4,5,1,12,2]=>[2,12,1,5,4,11,3,10,9,8,7,6]
[3,4,11,5,8,6,9,7,1,12,10,2]=>[2,10,12,1,7,9,6,8,5,11,4,3]
[3,4,10,8,5,11,9,6,7,1,12,2]=>[2,12,1,7,6,9,11,5,8,10,4,3]
[8,3,9,4,10,5,11,6,7,1,12,2]=>[2,12,1,7,6,11,5,10,4,9,3,8]
[7,3,8,4,5,6,11,9,1,12,10,2]=>[2,10,12,1,9,11,6,5,4,8,3,7]
[10,7,3,4,5,11,8,6,9,1,12,2]=>[2,12,1,9,6,8,11,5,4,3,7,10]
[9,7,3,10,8,4,5,6,11,1,12,2]=>[2,12,1,11,6,5,4,8,10,3,7,9]
[7,8,9,3,10,4,5,6,11,1,12,2]=>[2,12,1,11,6,5,4,10,3,9,8,7]
[3,4,5,6,10,7,11,8,9,1,12,2]=>[2,12,1,9,8,11,7,10,6,5,4,3]
[3,4,9,5,10,6,7,8,11,1,12,2]=>[2,12,1,11,8,7,6,10,5,9,4,3]
[8,3,9,4,5,6,7,10,11,1,12,2]=>[2,12,1,11,10,7,6,5,4,9,3,8]
[10,7,1,11,8,2,9,5,3,12,6,4]=>[4,6,12,3,5,9,2,8,11,1,7,10]
[11,5,1,8,6,2,9,7,3,12,10,4]=>[4,10,12,3,7,9,2,6,8,1,5,11]
[10,8,5,1,11,9,6,2,7,3,12,4]=>[4,12,3,7,2,6,9,11,1,5,8,10]
[8,9,10,5,1,11,6,2,7,3,12,4]=>[4,12,3,7,2,6,11,1,5,10,9,8]
[5,6,10,7,1,11,8,2,9,3,12,4]=>[4,12,3,9,2,8,11,1,7,10,6,5]
[9,5,10,6,7,1,8,2,11,3,12,4]=>[4,12,3,11,2,8,1,7,6,10,5,9]
[11,1,4,2,9,7,5,3,12,10,8,6]=>[6,8,10,12,3,5,7,9,2,4,1,11]
[10,1,7,11,8,4,2,9,5,3,12,6]=>[6,12,3,5,9,2,4,8,11,7,1,10]
[11,9,1,6,4,2,7,5,3,12,10,8]=>[8,10,12,3,5,7,2,4,6,1,9,11]
[1,8,6,11,9,7,4,2,5,3,12,10]=>[10,12,3,5,2,4,7,9,11,6,8,1]
[10,8,6,4,1,11,9,7,5,2,3,12]=>[12,3,2,5,7,9,11,1,4,6,8,10]
[8,9,10,6,4,1,11,7,5,2,3,12]=>[12,3,2,5,7,11,1,4,6,10,9,8]
[6,7,1,8,11,9,4,2,5,3,12,10]=>[10,12,3,5,2,4,9,11,8,1,7,6]
[6,7,10,8,4,1,11,9,5,2,3,12]=>[12,3,2,5,9,11,1,4,8,10,7,6]
[9,6,10,7,8,4,1,11,5,2,3,12]=>[12,3,2,5,11,1,4,8,7,10,6,9]
[6,7,8,9,10,4,1,11,5,2,3,12]=>[12,3,2,5,11,1,4,10,9,8,7,6]
[1,4,11,5,6,2,9,7,3,12,10,8]=>[8,10,12,3,7,9,2,6,5,11,4,1]
[1,9,4,10,5,6,2,11,7,3,12,8]=>[8,12,3,7,11,2,6,5,10,4,9,1]
[1,8,4,5,11,9,6,2,7,3,12,10]=>[10,12,3,7,2,6,9,11,5,4,8,1]
[4,5,10,8,6,1,11,9,7,2,3,12]=>[12,3,2,7,9,11,1,6,8,10,5,4]
[8,4,9,5,10,6,1,11,7,2,3,12]=>[12,3,2,7,11,1,6,10,5,9,4,8]
[11,1,7,4,8,5,6,2,9,3,12,10]=>[10,12,3,9,2,6,5,8,4,7,1,11]
[10,4,7,5,8,6,1,11,9,2,3,12]=>[12,3,2,9,11,1,6,8,5,7,4,10]
[9,7,4,10,8,5,6,1,11,2,3,12]=>[12,3,2,11,1,6,5,8,10,4,7,9]
[7,8,9,4,10,5,6,1,11,2,3,12]=>[12,3,2,11,1,6,5,10,4,9,8,7]
[1,4,5,6,11,7,8,2,9,3,12,10]=>[10,12,3,9,2,8,7,11,6,5,4,1]
[4,5,6,7,10,8,1,11,9,2,3,12]=>[12,3,2,9,11,1,8,10,7,6,5,4]
[4,5,9,6,10,7,8,1,11,2,3,12]=>[12,3,2,11,1,8,7,10,6,9,5,4]
[8,4,9,5,6,7,10,1,11,2,3,12]=>[12,3,2,11,1,10,7,6,5,9,4,8]
[4,5,6,7,8,9,10,1,11,2,3,12]=>[12,3,2,11,1,10,9,8,7,6,5,4]
[1,2,10,7,3,11,8,4,9,5,12,6]=>[6,12,5,9,4,8,11,3,7,10,2,1]
[1,2,11,3,6,4,9,7,5,12,10,8]=>[8,10,12,5,7,9,4,6,3,11,2,1]
[1,9,2,10,3,6,4,11,7,5,12,8]=>[8,12,5,7,11,4,6,3,10,2,9,1]
[1,8,2,3,11,9,6,4,7,5,12,10]=>[10,12,5,7,4,6,9,11,3,2,8,1]
[1,2,10,8,6,3,11,9,7,4,5,12]=>[12,5,4,7,9,11,3,6,8,10,2,1]
[8,1,9,2,10,6,3,11,7,4,5,12]=>[12,5,4,7,11,3,6,10,2,9,1,8]
[11,1,6,2,7,3,8,4,9,5,12,10]=>[10,12,5,9,4,8,3,7,2,6,1,11]
[6,1,7,2,10,8,3,11,9,4,5,12]=>[12,5,4,9,11,3,8,10,2,7,1,6]
[9,6,1,10,7,2,8,3,11,4,5,12]=>[12,5,4,11,3,8,2,7,10,1,6,9]
[6,7,8,1,9,2,10,3,11,4,5,12]=>[12,5,4,11,3,10,2,9,1,8,7,6]
[5,1,6,2,3,4,11,9,7,12,10,8]=>[8,10,12,7,9,11,4,3,2,6,1,5]
[11,1,8,2,5,3,6,4,9,7,12,10]=>[10,12,7,9,4,6,3,5,2,8,1,11]
[10,8,1,2,5,3,11,9,6,4,7,12]=>[12,7,4,6,9,11,3,5,2,1,8,10]
[1,2,8,9,10,5,3,11,6,4,7,12]=>[12,7,4,6,11,3,5,10,9,8,2,1]
[7,5,1,8,6,2,3,4,11,9,12,10]=>[10,12,9,11,4,3,2,6,8,1,5,7]
[10,11,1,7,5,2,3,8,6,4,9,12]=>[12,9,4,6,8,3,2,5,7,1,11,10]
[9,7,5,1,10,8,6,2,3,4,11,12]=>[12,11,4,3,2,6,8,10,1,5,7,9]
[7,8,9,5,1,10,6,2,3,4,11,12]=>[12,11,4,3,2,6,10,1,5,9,8,7]
[5,6,7,1,8,2,3,4,11,9,12,10]=>[10,12,9,11,4,3,2,8,1,7,6,5]
[5,6,10,7,1,2,3,11,8,4,9,12]=>[12,9,4,8,11,3,2,1,7,10,6,5]
[5,6,9,7,1,10,8,2,3,4,11,12]=>[12,11,4,3,2,8,10,1,7,9,6,5]
[8,5,9,6,7,1,10,2,3,4,11,12]=>[12,11,4,3,2,10,1,7,6,9,5,8]
[5,6,7,8,9,1,10,2,3,4,11,12]=>[12,11,4,3,2,10,1,9,8,7,6,5]
[1,2,3,4,11,5,8,6,9,7,12,10]=>[10,12,7,9,6,8,5,11,4,3,2,1]
[1,2,3,4,10,8,5,11,9,6,7,12]=>[12,7,6,9,11,5,8,10,4,3,2,1]
[1,2,8,3,9,4,10,5,11,6,7,12]=>[12,7,6,11,5,10,4,9,3,8,2,1]
[1,2,7,3,8,4,5,6,11,9,12,10]=>[10,12,9,11,6,5,4,8,3,7,2,1]
[1,2,10,7,3,4,5,11,8,6,9,12]=>[12,9,6,8,11,5,4,3,7,10,2,1]
[1,2,9,7,3,10,8,4,5,6,11,12]=>[12,11,6,5,4,8,10,3,7,9,2,1]
[7,1,8,2,9,3,10,4,5,6,11,12]=>[12,11,6,5,4,10,3,9,2,8,1,7]
[6,1,7,2,3,4,5,8,11,9,12,10]=>[10,12,9,11,8,5,4,3,2,7,1,6]
[10,1,6,2,3,4,7,5,11,8,9,12]=>[12,9,8,11,5,7,4,3,2,6,1,10]
[9,6,1,2,3,10,7,4,5,8,11,12]=>[12,11,8,5,4,7,10,3,2,1,6,9]
[8,6,1,9,7,2,3,4,5,10,11,12]=>[12,11,10,5,4,3,2,7,9,1,6,8]
[6,7,8,1,9,2,3,4,5,10,11,12]=>[12,11,10,5,4,3,2,9,1,8,7,6]
[1,2,3,4,5,6,10,7,11,8,9,12]=>[12,9,8,11,7,10,6,5,4,3,2,1]
[1,2,3,4,9,5,10,6,7,8,11,12]=>[12,11,8,7,6,10,5,9,4,3,2,1]
[1,2,8,3,9,4,5,6,7,10,11,12]=>[12,11,10,7,6,5,4,9,3,8,2,1]
[7,1,8,2,3,4,5,6,9,10,11,12]=>[12,11,10,9,6,5,4,3,2,8,1,7]
[11,1,2,3,4,5,6,7,8,12,9,10]=>[10,9,12,8,7,6,5,4,3,2,1,11]
[3,4,5,6,7,8,9,10,12,1,11,2]=>[2,11,1,12,10,9,8,7,6,5,4,3]
[9,12,4,6,8,11,1,2,3,5,7,10]=>[10,7,5,3,2,1,11,8,6,4,12,9]
[1,12,2,4,11,5,7,10,8,9,6,3]=>[3,6,9,8,10,7,5,11,4,2,12,1]
[2,1,4,3,6,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,10,7,9,12,11]=>[11,12,9,7,10,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,10,7,12,9,11]=>[11,9,12,7,10,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,10,12,7,9,11]=>[11,9,7,12,10,8,5,6,3,4,1,2]
[2,1,4,3,6,8,5,7,10,9,12,11]=>[11,12,9,10,7,5,8,6,3,4,1,2]
[2,1,4,3,6,8,5,7,10,12,9,11]=>[11,9,12,10,7,5,8,6,3,4,1,2]
[2,1,4,3,6,8,5,10,7,9,12,11]=>[11,12,9,7,10,5,8,6,3,4,1,2]
[2,1,4,3,6,8,5,10,7,12,9,11]=>[11,9,12,7,10,5,8,6,3,4,1,2]
[2,1,4,3,6,8,5,10,12,7,9,11]=>[11,9,7,12,10,5,8,6,3,4,1,2]
[2,1,4,3,6,8,10,5,7,9,12,11]=>[11,12,9,7,5,10,8,6,3,4,1,2]
[2,1,4,3,6,8,10,5,7,12,9,11]=>[11,9,12,7,5,10,8,6,3,4,1,2]
[2,1,4,3,6,8,10,5,12,7,9,11]=>[11,9,7,12,5,10,8,6,3,4,1,2]
[2,1,4,3,6,8,10,12,5,7,9,11]=>[11,9,7,5,12,10,8,6,3,4,1,2]
[2,1,4,6,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,6,4,1,2]
[2,1,4,6,3,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,3,6,4,1,2]
[2,1,4,6,3,5,8,10,7,9,12,11]=>[11,12,9,7,10,8,5,3,6,4,1,2]
[2,1,4,6,3,5,8,10,7,12,9,11]=>[11,9,12,7,10,8,5,3,6,4,1,2]
[2,1,4,6,3,5,8,10,12,7,9,11]=>[11,9,7,12,10,8,5,3,6,4,1,2]
[2,1,4,6,3,8,5,7,10,9,12,11]=>[11,12,9,10,7,5,8,3,6,4,1,2]
[2,1,4,6,3,8,5,7,10,12,9,11]=>[11,9,12,10,7,5,8,3,6,4,1,2]
[2,1,4,6,3,8,5,10,7,9,12,11]=>[11,12,9,7,10,5,8,3,6,4,1,2]
[2,1,4,6,3,8,5,10,7,12,9,11]=>[11,9,12,7,10,5,8,3,6,4,1,2]
[2,1,4,6,3,8,5,10,12,7,9,11]=>[11,9,7,12,10,5,8,3,6,4,1,2]
[2,1,4,6,3,8,10,5,7,9,12,11]=>[11,12,9,7,5,10,8,3,6,4,1,2]
[2,1,4,6,3,8,10,5,7,12,9,11]=>[11,9,12,7,5,10,8,3,6,4,1,2]
[2,1,4,6,3,8,10,5,12,7,9,11]=>[11,9,7,12,5,10,8,3,6,4,1,2]
[2,1,4,6,3,8,10,12,5,7,9,11]=>[11,9,7,5,12,10,8,3,6,4,1,2]
[2,1,4,6,8,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,8,6,4,1,2]
[2,1,4,6,8,3,5,7,10,12,9,11]=>[11,9,12,10,7,5,3,8,6,4,1,2]
[2,1,4,6,8,3,5,10,7,9,12,11]=>[11,12,9,7,10,5,3,8,6,4,1,2]
[2,1,4,6,8,3,5,10,7,12,9,11]=>[11,9,12,7,10,5,3,8,6,4,1,2]
[2,1,4,6,8,3,5,10,12,7,9,11]=>[11,9,7,12,10,5,3,8,6,4,1,2]
[2,1,4,6,8,3,10,5,7,9,12,11]=>[11,12,9,7,5,10,3,8,6,4,1,2]
[2,1,4,6,8,3,10,5,7,12,9,11]=>[11,9,12,7,5,10,3,8,6,4,1,2]
[2,1,4,6,8,3,10,5,12,7,9,11]=>[11,9,7,12,5,10,3,8,6,4,1,2]
[2,1,4,6,8,3,10,12,5,7,9,11]=>[11,9,7,5,12,10,3,8,6,4,1,2]
[2,1,4,6,8,10,3,5,7,9,12,11]=>[11,12,9,7,5,3,10,8,6,4,1,2]
[2,1,4,6,8,10,3,5,7,12,9,11]=>[11,9,12,7,5,3,10,8,6,4,1,2]
[2,1,4,6,8,10,3,5,12,7,9,11]=>[11,9,7,12,5,3,10,8,6,4,1,2]
[2,1,4,6,8,10,3,12,5,7,9,11]=>[11,9,7,5,12,3,10,8,6,4,1,2]
[2,1,4,6,8,10,12,3,5,7,9,11]=>[11,9,7,5,3,12,10,8,6,4,1,2]
[2,4,1,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,1,4,2]
[2,4,1,3,6,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,6,3,1,4,2]
[2,4,1,3,6,5,8,10,7,9,12,11]=>[11,12,9,7,10,8,5,6,3,1,4,2]
[2,4,1,3,6,5,8,10,7,12,9,11]=>[11,9,12,7,10,8,5,6,3,1,4,2]
[2,4,1,3,6,5,8,10,12,7,9,11]=>[11,9,7,12,10,8,5,6,3,1,4,2]
[2,4,1,3,6,8,5,7,10,9,12,11]=>[11,12,9,10,7,5,8,6,3,1,4,2]
[2,4,1,3,6,8,5,7,10,12,9,11]=>[11,9,12,10,7,5,8,6,3,1,4,2]
[2,4,1,3,6,8,5,10,7,9,12,11]=>[11,12,9,7,10,5,8,6,3,1,4,2]
[2,4,1,3,6,8,5,10,7,12,9,11]=>[11,9,12,7,10,5,8,6,3,1,4,2]
[2,4,1,3,6,8,5,10,12,7,9,11]=>[11,9,7,12,10,5,8,6,3,1,4,2]
[2,4,1,3,6,8,10,5,7,9,12,11]=>[11,12,9,7,5,10,8,6,3,1,4,2]
[2,4,1,3,6,8,10,5,7,12,9,11]=>[11,9,12,7,5,10,8,6,3,1,4,2]
[2,4,1,3,6,8,10,5,12,7,9,11]=>[11,9,7,12,5,10,8,6,3,1,4,2]
[2,4,1,3,6,8,10,12,5,7,9,11]=>[11,9,7,5,12,10,8,6,3,1,4,2]
[2,4,1,6,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,6,1,4,2]
[2,4,1,6,3,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,3,6,1,4,2]
[2,4,1,6,3,5,8,10,7,9,12,11]=>[11,12,9,7,10,8,5,3,6,1,4,2]
[2,4,1,6,3,5,8,10,7,12,9,11]=>[11,9,12,7,10,8,5,3,6,1,4,2]
[2,4,1,6,3,5,8,10,12,7,9,11]=>[11,9,7,12,10,8,5,3,6,1,4,2]
[2,4,1,6,3,8,5,7,10,9,12,11]=>[11,12,9,10,7,5,8,3,6,1,4,2]
[2,4,1,6,3,8,5,7,10,12,9,11]=>[11,9,12,10,7,5,8,3,6,1,4,2]
[2,4,1,6,3,8,5,10,7,9,12,11]=>[11,12,9,7,10,5,8,3,6,1,4,2]
[2,4,1,6,3,8,5,10,7,12,9,11]=>[11,9,12,7,10,5,8,3,6,1,4,2]
[2,4,1,6,3,8,5,10,12,7,9,11]=>[11,9,7,12,10,5,8,3,6,1,4,2]
[2,4,1,6,3,8,10,5,7,9,12,11]=>[11,12,9,7,5,10,8,3,6,1,4,2]
[2,4,1,6,3,8,10,5,7,12,9,11]=>[11,9,12,7,5,10,8,3,6,1,4,2]
[2,4,1,6,3,8,10,5,12,7,9,11]=>[11,9,7,12,5,10,8,3,6,1,4,2]
[2,4,1,6,3,8,10,12,5,7,9,11]=>[11,9,7,5,12,10,8,3,6,1,4,2]
[2,4,1,6,8,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,8,6,1,4,2]
[2,4,1,6,8,3,5,7,10,12,9,11]=>[11,9,12,10,7,5,3,8,6,1,4,2]
[2,4,1,6,8,3,5,10,7,9,12,11]=>[11,12,9,7,10,5,3,8,6,1,4,2]
[2,4,1,6,8,3,5,10,7,12,9,11]=>[11,9,12,7,10,5,3,8,6,1,4,2]
[2,4,1,6,8,3,5,10,12,7,9,11]=>[11,9,7,12,10,5,3,8,6,1,4,2]
[2,4,1,6,8,3,10,5,7,9,12,11]=>[11,12,9,7,5,10,3,8,6,1,4,2]
[2,4,1,6,8,3,10,5,7,12,9,11]=>[11,9,12,7,5,10,3,8,6,1,4,2]
[2,4,1,6,8,3,10,5,12,7,9,11]=>[11,9,7,12,5,10,3,8,6,1,4,2]
[2,4,1,6,8,3,10,12,5,7,9,11]=>[11,9,7,5,12,10,3,8,6,1,4,2]
[2,4,1,6,8,10,3,5,7,9,12,11]=>[11,12,9,7,5,3,10,8,6,1,4,2]
[2,4,1,6,8,10,3,5,7,12,9,11]=>[11,9,12,7,5,3,10,8,6,1,4,2]
[2,4,1,6,8,10,3,5,12,7,9,11]=>[11,9,7,12,5,3,10,8,6,1,4,2]
[2,4,1,6,8,10,3,12,5,7,9,11]=>[11,9,7,5,12,3,10,8,6,1,4,2]
[2,4,1,6,8,10,12,3,5,7,9,11]=>[11,9,7,5,3,12,10,8,6,1,4,2]
[2,4,6,1,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,1,6,4,2]
[2,4,6,1,3,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,3,1,6,4,2]
[2,4,6,1,3,5,8,10,7,9,12,11]=>[11,12,9,7,10,8,5,3,1,6,4,2]
[2,4,6,1,3,5,8,10,7,12,9,11]=>[11,9,12,7,10,8,5,3,1,6,4,2]
[2,4,6,1,3,5,8,10,12,7,9,11]=>[11,9,7,12,10,8,5,3,1,6,4,2]
[2,4,6,1,3,8,5,7,10,9,12,11]=>[11,12,9,10,7,5,8,3,1,6,4,2]
[2,4,6,1,3,8,5,7,10,12,9,11]=>[11,9,12,10,7,5,8,3,1,6,4,2]
[2,4,6,1,3,8,5,10,7,9,12,11]=>[11,12,9,7,10,5,8,3,1,6,4,2]
[2,4,6,1,3,8,5,10,7,12,9,11]=>[11,9,12,7,10,5,8,3,1,6,4,2]
[2,4,6,1,3,8,5,10,12,7,9,11]=>[11,9,7,12,10,5,8,3,1,6,4,2]
[2,4,6,1,3,8,10,5,7,9,12,11]=>[11,12,9,7,5,10,8,3,1,6,4,2]
[2,4,6,1,3,8,10,5,7,12,9,11]=>[11,9,12,7,5,10,8,3,1,6,4,2]
[2,4,6,1,3,8,10,5,12,7,9,11]=>[11,9,7,12,5,10,8,3,1,6,4,2]
[2,4,6,1,3,8,10,12,5,7,9,11]=>[11,9,7,5,12,10,8,3,1,6,4,2]
[2,4,6,1,8,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,8,1,6,4,2]
[2,4,6,1,8,3,5,7,10,12,9,11]=>[11,9,12,10,7,5,3,8,1,6,4,2]
[2,4,6,1,8,3,5,10,7,9,12,11]=>[11,12,9,7,10,5,3,8,1,6,4,2]
[2,4,6,1,8,3,5,10,7,12,9,11]=>[11,9,12,7,10,5,3,8,1,6,4,2]
[2,4,6,1,8,3,5,10,12,7,9,11]=>[11,9,7,12,10,5,3,8,1,6,4,2]
[2,4,6,1,8,3,10,5,7,9,12,11]=>[11,12,9,7,5,10,3,8,1,6,4,2]
[2,4,6,1,8,3,10,5,7,12,9,11]=>[11,9,12,7,5,10,3,8,1,6,4,2]
[2,4,6,1,8,3,10,5,12,7,9,11]=>[11,9,7,12,5,10,3,8,1,6,4,2]
[2,4,6,1,8,3,10,12,5,7,9,11]=>[11,9,7,5,12,10,3,8,1,6,4,2]
[2,4,6,1,8,10,3,5,7,9,12,11]=>[11,12,9,7,5,3,10,8,1,6,4,2]
[2,4,6,1,8,10,3,5,7,12,9,11]=>[11,9,12,7,5,3,10,8,1,6,4,2]
[2,4,6,1,8,10,3,5,12,7,9,11]=>[11,9,7,12,5,3,10,8,1,6,4,2]
[2,4,6,1,8,10,3,12,5,7,9,11]=>[11,9,7,5,12,3,10,8,1,6,4,2]
[2,4,6,1,8,10,12,3,5,7,9,11]=>[11,9,7,5,3,12,10,8,1,6,4,2]
[2,4,6,8,1,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,1,8,6,4,2]
[2,4,6,8,1,3,5,7,10,12,9,11]=>[11,9,12,10,7,5,3,1,8,6,4,2]
[2,4,6,8,1,3,5,10,7,9,12,11]=>[11,12,9,7,10,5,3,1,8,6,4,2]
[2,4,6,8,1,3,5,10,7,12,9,11]=>[11,9,12,7,10,5,3,1,8,6,4,2]
[2,4,6,8,1,3,5,10,12,7,9,11]=>[11,9,7,12,10,5,3,1,8,6,4,2]
[2,4,6,8,1,3,10,5,7,9,12,11]=>[11,12,9,7,5,10,3,1,8,6,4,2]
[2,4,6,8,1,3,10,5,7,12,9,11]=>[11,9,12,7,5,10,3,1,8,6,4,2]
[2,4,6,8,1,3,10,5,12,7,9,11]=>[11,9,7,12,5,10,3,1,8,6,4,2]
[2,4,6,8,1,3,10,12,5,7,9,11]=>[11,9,7,5,12,10,3,1,8,6,4,2]
[2,4,6,8,1,10,3,5,7,9,12,11]=>[11,12,9,7,5,3,10,1,8,6,4,2]
[2,4,6,8,1,10,3,5,7,12,9,11]=>[11,9,12,7,5,3,10,1,8,6,4,2]
[2,4,6,8,1,10,3,5,12,7,9,11]=>[11,9,7,12,5,3,10,1,8,6,4,2]
[2,4,6,8,1,10,3,12,5,7,9,11]=>[11,9,7,5,12,3,10,1,8,6,4,2]
[2,4,6,8,1,10,12,3,5,7,9,11]=>[11,9,7,5,3,12,10,1,8,6,4,2]
[2,4,6,8,10,1,3,5,7,9,12,11]=>[11,12,9,7,5,3,1,10,8,6,4,2]
[2,4,6,8,10,1,3,5,7,12,9,11]=>[11,9,12,7,5,3,1,10,8,6,4,2]
[2,4,6,8,10,1,3,5,12,7,9,11]=>[11,9,7,12,5,3,1,10,8,6,4,2]
[2,4,6,8,10,1,3,12,5,7,9,11]=>[11,9,7,5,12,3,1,10,8,6,4,2]
[2,4,6,8,10,1,12,3,5,7,9,11]=>[11,9,7,5,3,12,1,10,8,6,4,2]
[9,7,10,8,12,11,2,1,4,3,6,5]=>[5,6,3,4,1,2,11,12,8,10,7,9]
[8,7,11,9,12,10,2,1,4,3,6,5]=>[5,6,3,4,1,2,10,12,9,11,7,8]
[9,7,11,8,12,10,2,1,4,3,6,5]=>[5,6,3,4,1,2,10,12,8,11,7,9]
[10,7,11,8,12,9,2,1,4,3,6,5]=>[5,6,3,4,1,2,9,12,8,11,7,10]
[8,6,10,9,12,11,1,2,4,3,7,5]=>[5,7,3,4,2,1,11,12,9,10,6,8]
[9,6,10,8,12,11,1,2,4,3,7,5]=>[5,7,3,4,2,1,11,12,8,10,6,9]
[8,6,11,9,12,10,1,2,4,3,7,5]=>[5,7,3,4,2,1,10,12,9,11,6,8]
[9,6,11,8,12,10,1,2,4,3,7,5]=>[5,7,3,4,2,1,10,12,8,11,6,9]
[10,6,11,8,12,9,1,2,4,3,7,5]=>[5,7,3,4,2,1,9,12,8,11,6,10]
[7,6,10,8,11,9,1,12,3,2,5,4]=>[4,5,2,3,12,1,9,11,8,10,6,7]
[8,6,10,7,11,9,1,12,3,2,5,4]=>[4,5,2,3,12,1,9,11,7,10,6,8]
[9,6,10,7,11,8,1,12,3,2,5,4]=>[4,5,2,3,12,1,8,11,7,10,6,9]
[9,6,10,7,12,8,1,11,3,2,5,4]=>[4,5,2,3,11,1,8,12,7,10,6,9]
[8,7,10,9,12,11,3,1,4,2,6,5]=>[5,6,2,4,1,3,11,12,9,10,7,8]
[9,7,10,8,12,11,3,1,4,2,6,5]=>[5,6,2,4,1,3,11,12,8,10,7,9]
[8,7,11,9,12,10,3,1,4,2,6,5]=>[5,6,2,4,1,3,10,12,9,11,7,8]
[9,7,11,8,12,10,3,1,4,2,6,5]=>[5,6,2,4,1,3,10,12,8,11,7,9]
[10,7,11,8,12,9,3,1,4,2,6,5]=>[5,6,2,4,1,3,9,12,8,11,7,10]
[8,6,10,9,12,11,2,1,4,3,7,5]=>[5,7,3,4,1,2,11,12,9,10,6,8]
[9,6,10,8,12,11,2,1,4,3,7,5]=>[5,7,3,4,1,2,11,12,8,10,6,9]
[8,6,11,9,12,10,2,1,4,3,7,5]=>[5,7,3,4,1,2,10,12,9,11,6,8]
[9,6,11,8,12,10,2,1,4,3,7,5]=>[5,7,3,4,1,2,10,12,8,11,6,9]
[10,6,11,8,12,9,2,1,4,3,7,5]=>[5,7,3,4,1,2,9,12,8,11,6,10]
[7,6,10,8,11,9,2,12,3,1,5,4]=>[4,5,1,3,12,2,9,11,8,10,6,7]
[8,6,10,7,11,9,2,12,3,1,5,4]=>[4,5,1,3,12,2,9,11,7,10,6,8]
[9,6,10,7,11,8,2,12,3,1,5,4]=>[4,5,1,3,12,2,8,11,7,10,6,9]
[9,6,10,7,12,8,2,11,3,1,5,4]=>[4,5,1,3,11,2,8,12,7,10,6,9]
[8,5,10,9,11,12,2,1,4,3,7,6]=>[6,7,3,4,1,2,12,11,9,10,5,8]
[9,5,10,8,11,12,2,1,4,3,7,6]=>[6,7,3,4,1,2,12,11,8,10,5,9]
[8,5,10,9,12,11,2,1,4,3,7,6]=>[6,7,3,4,1,2,11,12,9,10,5,8]
[9,5,10,8,12,11,2,1,4,3,7,6]=>[6,7,3,4,1,2,11,12,8,10,5,9]
[9,5,11,8,12,10,2,1,4,3,7,6]=>[6,7,3,4,1,2,10,12,8,11,5,9]
[7,5,9,8,11,10,2,12,3,1,6,4]=>[4,6,1,3,12,2,10,11,8,9,5,7]
[8,5,9,7,11,10,2,12,3,1,6,4]=>[4,6,1,3,12,2,10,11,7,9,5,8]
[8,5,10,7,11,9,2,12,3,1,6,4]=>[4,6,1,3,12,2,9,11,7,10,5,8]
[8,5,10,7,12,9,2,11,3,1,6,4]=>[4,6,1,3,11,2,9,12,7,10,5,8]
[6,5,9,8,11,10,1,12,3,2,7,4]=>[4,7,2,3,12,1,10,11,8,9,5,6]
[8,5,9,6,11,10,1,12,3,2,7,4]=>[4,7,2,3,12,1,10,11,6,9,5,8]
[8,5,10,6,11,9,1,12,3,2,7,4]=>[4,7,2,3,12,1,9,11,6,10,5,8]
[8,5,10,6,12,9,1,11,3,2,7,4]=>[4,7,2,3,11,1,9,12,6,10,5,8]
[7,5,10,6,11,9,1,12,3,2,8,4]=>[4,8,2,3,12,1,9,11,6,10,5,7]
[8,7,10,9,12,11,2,1,5,3,6,4]=>[4,6,3,5,1,2,11,12,9,10,7,8]
[9,7,10,8,12,11,2,1,5,3,6,4]=>[4,6,3,5,1,2,11,12,8,10,7,9]
[8,7,11,9,12,10,2,1,5,3,6,4]=>[4,6,3,5,1,2,10,12,9,11,7,8]
[9,7,11,8,12,10,2,1,5,3,6,4]=>[4,6,3,5,1,2,10,12,8,11,7,9]
[10,7,11,8,12,9,2,1,5,3,6,4]=>[4,6,3,5,1,2,9,12,8,11,7,10]
[8,6,10,9,12,11,1,2,5,3,7,4]=>[4,7,3,5,2,1,11,12,9,10,6,8]
[9,6,10,8,12,11,1,2,5,3,7,4]=>[4,7,3,5,2,1,11,12,8,10,6,9]
[8,6,11,9,12,10,1,2,5,3,7,4]=>[4,7,3,5,2,1,10,12,9,11,6,8]
[9,6,11,8,12,10,1,2,5,3,7,4]=>[4,7,3,5,2,1,10,12,8,11,6,9]
[10,6,11,8,12,9,1,2,5,3,7,4]=>[4,7,3,5,2,1,9,12,8,11,6,10]
[7,6,10,8,11,9,1,12,4,2,5,3]=>[3,5,2,4,12,1,9,11,8,10,6,7]
[8,6,10,7,11,9,1,12,4,2,5,3]=>[3,5,2,4,12,1,9,11,7,10,6,8]
[9,6,10,7,11,8,1,12,4,2,5,3]=>[3,5,2,4,12,1,8,11,7,10,6,9]
[9,6,10,7,12,8,1,11,4,2,5,3]=>[3,5,2,4,11,1,8,12,7,10,6,9]
[8,7,10,9,12,11,3,1,5,2,6,4]=>[4,6,2,5,1,3,11,12,9,10,7,8]
[9,7,10,8,12,11,3,1,5,2,6,4]=>[4,6,2,5,1,3,11,12,8,10,7,9]
[8,7,11,9,12,10,3,1,5,2,6,4]=>[4,6,2,5,1,3,10,12,9,11,7,8]
[9,7,11,8,12,10,3,1,5,2,6,4]=>[4,6,2,5,1,3,10,12,8,11,7,9]
[10,7,11,8,12,9,3,1,5,2,6,4]=>[4,6,2,5,1,3,9,12,8,11,7,10]
[8,6,10,9,12,11,2,1,5,3,7,4]=>[4,7,3,5,1,2,11,12,9,10,6,8]
[9,6,10,8,12,11,2,1,5,3,7,4]=>[4,7,3,5,1,2,11,12,8,10,6,9]
[8,6,11,9,12,10,2,1,5,3,7,4]=>[4,7,3,5,1,2,10,12,9,11,6,8]
[9,6,11,8,12,10,2,1,5,3,7,4]=>[4,7,3,5,1,2,10,12,8,11,6,9]
[10,6,11,8,12,9,2,1,5,3,7,4]=>[4,7,3,5,1,2,9,12,8,11,6,10]
[7,6,10,8,11,9,2,12,4,1,5,3]=>[3,5,1,4,12,2,9,11,8,10,6,7]
[8,6,10,7,11,9,2,12,4,1,5,3]=>[3,5,1,4,12,2,9,11,7,10,6,8]
[9,6,10,7,11,8,2,12,4,1,5,3]=>[3,5,1,4,12,2,8,11,7,10,6,9]
[9,6,10,7,12,8,2,11,4,1,5,3]=>[3,5,1,4,11,2,8,12,7,10,6,9]
[8,5,10,9,11,12,2,1,6,3,7,4]=>[4,7,3,6,1,2,12,11,9,10,5,8]
[9,5,10,8,11,12,2,1,6,3,7,4]=>[4,7,3,6,1,2,12,11,8,10,5,9]
[8,5,10,9,12,11,2,1,6,3,7,4]=>[4,7,3,6,1,2,11,12,9,10,5,8]
[9,5,10,8,12,11,2,1,6,3,7,4]=>[4,7,3,6,1,2,11,12,8,10,5,9]
[9,5,11,8,12,10,2,1,6,3,7,4]=>[4,7,3,6,1,2,10,12,8,11,5,9]
[7,5,9,8,11,10,2,12,4,1,6,3]=>[3,6,1,4,12,2,10,11,8,9,5,7]
[8,5,9,7,11,10,2,12,4,1,6,3]=>[3,6,1,4,12,2,10,11,7,9,5,8]
[8,5,10,7,11,9,2,12,4,1,6,3]=>[3,6,1,4,12,2,9,11,7,10,5,8]
[8,5,10,7,12,9,2,11,4,1,6,3]=>[3,6,1,4,11,2,9,12,7,10,5,8]
[6,5,9,8,11,10,1,12,4,2,7,3]=>[3,7,2,4,12,1,10,11,8,9,5,6]
[8,5,9,6,11,10,1,12,4,2,7,3]=>[3,7,2,4,12,1,10,11,6,9,5,8]
[8,5,10,6,11,9,1,12,4,2,7,3]=>[3,7,2,4,12,1,9,11,6,10,5,8]
[8,5,10,6,12,9,1,11,4,2,7,3]=>[3,7,2,4,11,1,9,12,6,10,5,8]
[7,5,10,6,11,9,1,12,4,2,8,3]=>[3,8,2,4,12,1,9,11,6,10,5,7]
[8,7,10,9,12,11,4,1,5,2,6,3]=>[3,6,2,5,1,4,11,12,9,10,7,8]
[9,7,10,8,12,11,4,1,5,2,6,3]=>[3,6,2,5,1,4,11,12,8,10,7,9]
[8,7,11,9,12,10,4,1,5,2,6,3]=>[3,6,2,5,1,4,10,12,9,11,7,8]
[9,7,11,8,12,10,4,1,5,2,6,3]=>[3,6,2,5,1,4,10,12,8,11,7,9]
[10,7,11,8,12,9,4,1,5,2,6,3]=>[3,6,2,5,1,4,9,12,8,11,7,10]
[8,6,10,9,12,11,3,1,5,2,7,4]=>[4,7,2,5,1,3,11,12,9,10,6,8]
[9,6,10,8,12,11,3,1,5,2,7,4]=>[4,7,2,5,1,3,11,12,8,10,6,9]
[8,6,11,9,12,10,3,1,5,2,7,4]=>[4,7,2,5,1,3,10,12,9,11,6,8]
[9,6,11,8,12,10,3,1,5,2,7,4]=>[4,7,2,5,1,3,10,12,8,11,6,9]
[10,6,11,8,12,9,3,1,5,2,7,4]=>[4,7,2,5,1,3,9,12,8,11,6,10]
[7,6,10,8,11,9,3,12,4,1,5,2]=>[2,5,1,4,12,3,9,11,8,10,6,7]
[8,6,10,7,11,9,3,12,4,1,5,2]=>[2,5,1,4,12,3,9,11,7,10,6,8]
[9,6,10,7,11,8,3,12,4,1,5,2]=>[2,5,1,4,12,3,8,11,7,10,6,9]
[9,6,10,7,12,8,3,11,4,1,5,2]=>[2,5,1,4,11,3,8,12,7,10,6,9]
[8,5,10,9,11,12,3,1,6,2,7,4]=>[4,7,2,6,1,3,12,11,9,10,5,8]
[9,5,10,8,11,12,3,1,6,2,7,4]=>[4,7,2,6,1,3,12,11,8,10,5,9]
[8,5,10,9,12,11,3,1,6,2,7,4]=>[4,7,2,6,1,3,11,12,9,10,5,8]
[9,5,10,8,12,11,3,1,6,2,7,4]=>[4,7,2,6,1,3,11,12,8,10,5,9]
[9,5,11,8,12,10,3,1,6,2,7,4]=>[4,7,2,6,1,3,10,12,8,11,5,9]
[7,5,9,8,11,10,3,12,4,1,6,2]=>[2,6,1,4,12,3,10,11,8,9,5,7]
[8,5,9,7,11,10,3,12,4,1,6,2]=>[2,6,1,4,12,3,10,11,7,9,5,8]
[8,5,10,7,11,9,3,12,4,1,6,2]=>[2,6,1,4,12,3,9,11,7,10,5,8]
[8,5,10,7,12,9,3,11,4,1,6,2]=>[2,6,1,4,11,3,9,12,7,10,5,8]
[6,5,9,8,11,10,2,12,4,1,7,3]=>[3,7,1,4,12,2,10,11,8,9,5,6]
[8,5,9,6,11,10,2,12,4,1,7,3]=>[3,7,1,4,12,2,10,11,6,9,5,8]
[8,5,10,6,11,9,2,12,4,1,7,3]=>[3,7,1,4,12,2,9,11,6,10,5,8]
[8,5,10,6,12,9,2,11,4,1,7,3]=>[3,7,1,4,11,2,9,12,6,10,5,8]
[7,5,10,6,11,9,2,12,4,1,8,3]=>[3,8,1,4,12,2,9,11,6,10,5,7]
[9,8,11,10,1,12,4,2,6,3,7,5]=>[5,7,3,6,2,4,12,1,10,11,8,9]
[10,8,11,9,1,12,4,2,6,3,7,5]=>[5,7,3,6,2,4,12,1,9,11,8,10]
[9,8,12,10,1,11,4,2,6,3,7,5]=>[5,7,3,6,2,4,11,1,10,12,8,9]
[10,8,12,9,1,11,4,2,6,3,7,5]=>[5,7,3,6,2,4,11,1,9,12,8,10]
[11,8,12,9,1,10,4,2,6,3,7,5]=>[5,7,3,6,2,4,10,1,9,12,8,11]
[8,7,11,9,1,10,4,12,5,2,6,3]=>[3,6,2,5,12,4,10,1,9,11,7,8]
[9,7,11,8,1,10,4,12,5,2,6,3]=>[3,6,2,5,12,4,10,1,8,11,7,9]
[10,7,11,8,1,9,4,12,5,2,6,3]=>[3,6,2,5,12,4,9,1,8,11,7,10]
[10,7,12,8,1,9,4,11,5,2,6,3]=>[3,6,2,5,11,4,9,1,8,12,7,10]
[8,6,11,9,1,10,3,12,5,2,7,4]=>[4,7,2,5,12,3,10,1,9,11,6,8]
[9,6,11,8,1,10,3,12,5,2,7,4]=>[4,7,2,5,12,3,10,1,8,11,6,9]
[10,6,11,8,1,9,3,12,5,2,7,4]=>[4,7,2,5,12,3,9,1,8,11,6,10]
[10,6,12,8,1,9,3,11,5,2,7,4]=>[4,7,2,5,11,3,9,1,8,12,6,10]
[10,6,11,7,1,9,3,12,5,2,8,4]=>[4,8,2,5,12,3,9,1,7,11,6,10]
[8,5,10,9,1,11,3,12,6,2,7,4]=>[4,7,2,6,12,3,11,1,9,10,5,8]
[9,5,10,8,1,11,3,12,6,2,7,4]=>[4,7,2,6,12,3,11,1,8,10,5,9]
[9,5,11,8,1,10,3,12,6,2,7,4]=>[4,7,2,6,12,3,10,1,8,11,5,9]
[9,5,12,8,1,10,3,11,6,2,7,4]=>[4,7,2,6,11,3,10,1,8,12,5,9]
[9,5,11,7,1,10,3,12,6,2,8,4]=>[4,8,2,6,12,3,10,1,7,11,5,9]
[9,5,11,6,1,10,2,12,7,3,8,4]=>[4,8,3,7,12,2,10,1,6,11,5,9]
[1,11,3,9,5,7,2,12,6,8,4,10]=>[10,4,8,6,12,2,7,5,9,3,11,1]
[1,11,5,7,2,12,6,8,3,9,4,10]=>[10,4,9,3,8,6,12,2,7,5,11,1]
[1,11,2,12,3,9,5,4,10,8,6,7]=>[7,6,8,10,4,5,9,3,12,2,11,1]
[1,11,3,9,5,2,12,8,4,10,6,7]=>[7,6,10,4,8,12,2,5,9,3,11,1]
[1,11,5,2,12,8,3,9,4,10,6,7]=>[7,6,10,4,9,3,8,12,2,5,11,1]
[1,11,2,12,3,9,7,5,4,10,8,6]=>[6,8,10,4,5,7,9,3,12,2,11,1]
[1,11,3,9,7,5,2,12,8,6,4,10]=>[10,4,6,8,12,2,5,7,9,3,11,1]
[1,11,7,5,2,12,8,6,3,9,4,10]=>[10,4,9,3,6,8,12,2,5,7,11,1]
[1,11,7,3,9,5,2,12,8,4,10,6]=>[6,10,4,8,12,2,5,9,3,7,11,1]
[1,11,2,12,3,7,5,9,4,8,6,10]=>[10,6,8,4,9,5,7,3,12,2,11,1]
[1,11,3,7,5,9,2,12,4,8,6,10]=>[10,6,8,4,12,2,9,5,7,3,11,1]
[1,11,2,12,3,7,4,8,5,9,6,10]=>[10,6,9,5,8,4,7,3,12,2,11,1]
[1,11,3,7,2,12,6,10,4,8,5,9]=>[9,5,8,4,10,6,12,2,7,3,11,1]
[1,11,5,9,3,7,2,12,6,10,4,8]=>[8,4,10,6,12,2,7,3,9,5,11,1]
[1,11,2,12,3,5,9,4,8,10,6,7]=>[7,6,10,8,4,9,5,3,12,2,11,1]
[1,11,3,5,9,2,12,4,8,10,6,7]=>[7,6,10,8,4,12,2,9,5,3,11,1]
[1,11,2,12,3,4,8,5,9,6,7,10]=>[10,7,6,9,5,8,4,3,12,2,11,1]
[1,11,3,2,12,10,4,8,5,9,6,7]=>[7,6,9,5,8,4,10,12,2,3,11,1]
[1,11,5,9,3,2,12,10,4,8,6,7]=>[7,6,8,4,10,12,2,3,9,5,11,1]
[1,11,2,12,3,4,8,6,5,9,7,10]=>[10,7,9,5,6,8,4,3,12,2,11,1]
[1,11,3,2,12,10,4,8,6,5,9,7]=>[7,9,5,6,8,4,10,12,2,3,11,1]
[1,11,7,5,9,3,2,12,10,4,8,6]=>[6,8,4,10,12,2,3,9,5,7,11,1]
[1,11,7,3,2,12,10,6,4,8,5,9]=>[9,5,8,4,6,10,12,2,3,7,11,1]
[1,11,2,12,3,5,7,9,4,6,8,10]=>[10,8,6,4,9,7,5,3,12,2,11,1]
[1,11,3,5,7,9,2,12,4,6,8,10]=>[10,8,6,4,12,2,9,7,5,3,11,1]
[1,11,2,12,3,4,6,8,5,7,9,10]=>[10,9,7,5,8,6,4,3,12,2,11,1]
[1,11,3,2,12,10,4,6,8,5,7,9]=>[9,7,5,8,6,4,10,12,2,3,11,1]
[1,11,5,7,9,3,2,12,10,4,6,8]=>[8,6,4,10,12,2,3,9,7,5,11,1]
[1,11,2,12,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,12,2,11,1]
[1,11,3,2,12,10,4,5,7,6,8,9]=>[9,8,6,7,5,4,10,12,2,3,11,1]
[1,11,9,3,2,12,10,4,5,7,6,8]=>[8,6,7,5,4,10,12,2,3,9,11,1]
[1,11,9,5,7,3,2,12,10,6,8,4]=>[4,8,6,10,12,2,3,7,5,9,11,1]
[1,11,2,12,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,12,2,11,1]
[1,11,3,2,12,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,12,2,3,11,1]
[1,11,9,3,2,12,10,4,5,6,7,8]=>[8,7,6,5,4,10,12,2,3,9,11,1]
[1,11,9,5,3,2,12,10,8,4,6,7]=>[7,6,4,8,10,12,2,3,5,9,11,1]
[1,11,9,7,5,3,2,12,10,8,6,4]=>[4,6,8,10,12,2,3,5,7,9,11,1]
[1,9,3,11,2,10,4,12,5,7,6,8]=>[8,6,7,5,12,4,10,2,11,3,9,1]
[1,9,2,10,3,11,4,12,5,7,6,8]=>[8,6,7,5,12,4,11,3,10,2,9,1]
[1,9,5,7,3,11,2,10,6,8,4,12]=>[12,4,8,6,10,2,11,3,7,5,9,1]
[1,9,5,7,2,10,3,11,4,12,6,8]=>[8,6,12,4,11,3,10,2,7,5,9,1]
[1,9,3,11,5,7,2,10,4,12,6,8]=>[8,6,12,4,10,2,7,5,11,3,9,1]
[1,9,3,11,2,10,4,12,5,6,7,8]=>[8,7,6,5,12,4,10,2,11,3,9,1]
[1,9,2,10,3,11,4,12,5,6,7,8]=>[8,7,6,5,12,4,11,3,10,2,9,1]
[1,9,5,3,11,2,10,8,4,12,6,7]=>[7,6,12,4,8,10,2,11,3,5,9,1]
[1,9,5,2,10,3,11,4,12,8,6,7]=>[7,6,8,12,4,11,3,10,2,5,9,1]
[1,9,3,11,5,2,10,4,12,8,6,7]=>[7,6,8,12,4,10,2,5,11,3,9,1]
[1,9,7,5,3,11,2,10,8,6,4,12]=>[12,4,6,8,10,2,11,3,5,7,9,1]
[1,9,7,5,2,10,3,11,4,12,8,6]=>[6,8,12,4,11,3,10,2,5,7,9,1]
[1,9,3,11,7,5,2,10,4,12,8,6]=>[6,8,12,4,10,2,5,7,11,3,9,1]
[1,9,5,2,10,6,3,11,7,4,12,8]=>[8,12,4,7,11,3,6,10,2,5,9,1]
[1,7,5,9,3,11,2,10,4,8,6,12]=>[12,6,8,4,10,2,11,3,9,5,7,1]
[1,7,5,9,2,10,3,11,4,8,6,12]=>[12,6,8,4,11,3,10,2,9,5,7,1]
[1,7,3,11,2,10,6,12,4,8,5,9]=>[9,5,8,4,12,6,10,2,11,3,7,1]
[1,7,2,10,3,11,4,8,5,9,6,12]=>[12,6,9,5,8,4,11,3,10,2,7,1]
[1,7,2,10,4,8,3,11,5,9,6,12]=>[12,6,9,5,11,3,8,4,10,2,7,1]
[1,5,9,3,11,2,10,4,8,12,6,7]=>[7,6,12,8,4,10,2,11,3,9,5,1]
[1,5,9,2,10,3,11,4,8,12,6,7]=>[7,6,12,8,4,11,3,10,2,9,5,1]
[1,3,11,2,10,12,4,8,5,9,6,7]=>[7,6,9,5,8,4,12,10,2,11,3,1]
[1,2,10,3,11,4,8,5,9,6,7,12]=>[12,7,6,9,5,8,4,11,3,10,2,1]
[1,2,10,4,8,3,11,5,9,6,7,12]=>[12,7,6,9,5,11,3,8,4,10,2,1]
[1,3,11,2,10,12,4,8,6,5,9,7]=>[7,9,5,6,8,4,12,10,2,11,3,1]
[1,2,10,3,11,4,8,6,5,9,7,12]=>[12,7,9,5,6,8,4,11,3,10,2,1]
[1,2,10,4,8,6,3,11,7,5,9,12]=>[12,9,5,7,11,3,6,8,4,10,2,1]
[1,2,10,6,3,11,7,4,8,5,9,12]=>[12,9,5,8,4,7,11,3,6,10,2,1]
[1,5,7,9,3,11,2,10,4,6,8,12]=>[12,8,6,4,10,2,11,3,9,7,5,1]
[1,5,7,9,2,10,3,11,4,6,8,12]=>[12,8,6,4,11,3,10,2,9,7,5,1]
[1,3,11,2,10,12,4,6,8,5,7,9]=>[9,7,5,8,6,4,12,10,2,11,3,1]
[1,2,10,3,11,4,6,8,5,7,9,12]=>[12,9,7,5,8,6,4,11,3,10,2,1]
[1,2,10,4,6,8,3,11,5,7,9,12]=>[12,9,7,5,11,3,8,6,4,10,2,1]
[1,3,11,2,10,12,4,5,7,6,8,9]=>[9,8,6,7,5,4,12,10,2,11,3,1]
[1,2,10,3,11,4,5,7,6,8,9,12]=>[12,9,8,6,7,5,4,11,3,10,2,1]
[1,2,10,4,3,11,9,5,7,6,8,12]=>[12,8,6,7,5,9,11,3,4,10,2,1]
[1,2,10,6,8,4,3,11,9,5,7,12]=>[12,7,5,9,11,3,4,8,6,10,2,1]
[1,3,11,2,10,12,4,5,6,7,8,9]=>[9,8,7,6,5,4,12,10,2,11,3,1]
[1,2,10,3,11,4,5,6,7,8,9,12]=>[12,9,8,7,6,5,4,11,3,10,2,1]
[1,2,10,4,3,11,9,5,6,7,8,12]=>[12,8,7,6,5,9,11,3,4,10,2,1]
[1,2,10,8,4,3,11,9,5,6,7,12]=>[12,7,6,5,9,11,3,4,8,10,2,1]
[1,2,10,8,6,4,3,11,9,7,5,12]=>[12,5,7,9,11,3,4,6,8,10,2,1]
[1,7,5,11,2,8,6,12,3,9,4,10]=>[10,4,9,3,12,6,8,2,11,5,7,1]
[1,7,5,11,3,9,2,8,6,12,4,10]=>[10,4,12,6,8,2,9,3,11,5,7,1]
[1,7,3,9,5,11,2,8,4,10,6,12]=>[12,6,10,4,8,2,11,5,9,3,7,1]
[1,7,2,8,4,10,3,9,5,11,6,12]=>[12,6,11,5,9,3,10,4,8,2,7,1]
[1,5,11,2,8,12,3,9,4,10,6,7]=>[7,6,10,4,9,3,12,8,2,11,5,1]
[1,5,11,3,9,2,8,12,4,10,6,7]=>[7,6,10,4,12,8,2,9,3,11,5,1]
[1,3,9,5,11,2,8,4,10,12,6,7]=>[7,6,12,10,4,8,2,11,5,9,3,1]
[1,2,8,4,10,3,9,5,11,6,7,12]=>[12,7,6,11,5,9,3,10,4,8,2,1]
[1,3,9,7,5,11,2,8,6,4,10,12]=>[12,10,4,6,8,2,11,5,7,9,3,1]
[1,2,8,6,4,10,3,9,7,5,11,12]=>[12,11,5,7,9,3,10,4,6,8,2,1]
[1,2,8,6,3,9,4,10,5,11,7,12]=>[12,7,11,5,10,4,9,3,6,8,2,1]
[1,2,8,4,10,6,3,9,5,11,7,12]=>[12,7,11,5,9,3,6,10,4,8,2,1]
[1,5,7,11,2,6,8,12,3,9,4,10]=>[10,4,9,3,12,8,6,2,11,7,5,1]
[1,5,7,11,3,9,2,6,8,12,4,10]=>[10,4,12,8,6,2,9,3,11,7,5,1]
[1,3,9,5,7,11,2,6,8,4,10,12]=>[12,10,4,8,6,2,11,7,5,9,3,1]
[1,2,6,8,4,10,3,9,5,7,11,12]=>[12,11,7,5,9,3,10,4,8,6,2,1]
[1,2,6,8,3,9,4,10,5,7,11,12]=>[12,11,7,5,10,4,9,3,8,6,2,1]
[1,3,9,11,2,4,10,12,5,7,6,8]=>[8,6,7,5,12,10,4,2,11,9,3,1]
[1,2,4,10,3,9,11,5,7,6,8,12]=>[12,8,6,7,5,11,9,3,10,4,2,1]
[1,2,3,9,4,10,5,7,6,8,11,12]=>[12,11,8,6,7,5,10,4,9,3,2,1]
[1,2,3,9,5,7,4,10,6,8,11,12]=>[12,11,8,6,10,4,7,5,9,3,2,1]
[1,3,9,11,2,4,10,12,5,6,7,8]=>[8,7,6,5,12,10,4,2,11,9,3,1]
[1,2,4,10,3,9,11,5,6,7,8,12]=>[12,8,7,6,5,11,9,3,10,4,2,1]
[1,2,3,9,4,10,5,6,7,8,11,12]=>[12,11,8,7,6,5,10,4,9,3,2,1]
[1,2,3,9,5,4,10,8,6,7,11,12]=>[12,11,7,6,8,10,4,5,9,3,2,1]
[1,2,3,9,7,5,4,10,8,6,11,12]=>[12,11,6,8,10,4,5,7,9,3,2,1]
[1,5,9,3,7,11,2,6,10,4,8,12]=>[12,8,4,10,6,2,11,7,3,9,5,1]
[1,5,9,2,6,10,3,7,11,4,8,12]=>[12,8,4,11,7,3,10,6,2,9,5,1]
[1,3,7,11,2,6,10,12,4,8,5,9]=>[9,5,8,4,12,10,6,2,11,7,3,1]
[1,2,6,10,3,7,11,4,8,5,9,12]=>[12,9,5,8,4,11,7,3,10,6,2,1]
[1,2,6,10,4,8,3,7,11,5,9,12]=>[12,9,5,11,7,3,8,4,10,6,2,1]
[1,3,7,5,9,11,2,4,8,6,10,12]=>[12,10,6,8,4,2,11,9,5,7,3,1]
[1,2,4,8,6,10,3,7,5,9,11,12]=>[12,11,9,5,7,3,10,6,8,4,2,1]
[1,2,3,7,5,9,4,8,6,10,11,12]=>[12,11,10,6,8,4,9,5,7,3,2,1]
[1,2,3,7,4,8,5,9,6,10,11,12]=>[12,11,10,6,9,5,8,4,7,3,2,1]
[1,3,5,9,11,2,4,8,10,12,6,7]=>[7,6,12,10,8,4,2,11,9,5,3,1]
[1,2,4,8,10,3,5,9,11,6,7,12]=>[12,7,6,11,9,5,3,10,8,4,2,1]
[1,2,3,5,9,4,8,10,6,7,11,12]=>[12,11,7,6,10,8,4,9,5,3,2,1]
[1,2,3,4,8,5,9,6,7,10,11,12]=>[12,11,10,7,6,9,5,8,4,3,2,1]
[1,2,3,4,8,6,5,9,7,10,11,12]=>[12,11,10,7,9,5,6,8,4,3,2,1]
[1,3,5,7,9,11,2,4,6,8,10,12]=>[12,10,8,6,4,2,11,9,7,5,3,1]
[1,2,4,6,8,10,3,5,7,9,11,12]=>[12,11,9,7,5,3,10,8,6,4,2,1]
[1,2,3,5,7,9,4,6,8,10,11,12]=>[12,11,10,8,6,4,9,7,5,3,2,1]
[1,2,3,4,6,8,5,7,9,10,11,12]=>[12,11,10,9,7,5,8,6,4,3,2,1]
[2,11,12,9,10,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,10,9,12,11,2]
[2,11,12,9,10,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,10,9,12,11,2]
[2,11,12,9,10,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,10,9,12,11,2]
[2,11,12,9,10,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,10,9,12,11,2]
[2,11,12,9,10,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,10,9,12,11,2]
[2,11,12,7,8,9,10,5,6,3,4,1]=>[1,4,3,6,5,10,9,8,7,12,11,2]
[2,11,12,7,8,9,10,3,4,5,6,1]=>[1,6,5,4,3,10,9,8,7,12,11,2]
[2,11,12,5,8,9,6,7,10,3,4,1]=>[1,4,3,10,7,6,9,8,5,12,11,2]
[2,11,12,3,8,9,6,7,4,5,10,1]=>[1,10,5,4,7,6,9,8,3,12,11,2]
[2,11,12,3,8,9,4,5,6,7,10,1]=>[1,10,7,6,5,4,9,8,3,12,11,2]
[2,11,12,5,6,7,8,9,10,3,4,1]=>[1,4,3,10,9,8,7,6,5,12,11,2]
[2,11,12,3,6,7,8,9,4,5,10,1]=>[1,10,5,4,9,8,7,6,3,12,11,2]
[2,11,12,3,4,7,8,5,6,9,10,1]=>[1,10,9,6,5,8,7,4,3,12,11,2]
[2,11,12,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,12,11,2]
[2,9,10,11,12,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,12,11,10,9,2]
[2,9,10,11,12,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,12,11,10,9,2]
[2,9,10,11,12,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,12,11,10,9,2]
[2,9,10,11,12,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,12,11,10,9,2]
[2,9,10,11,12,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,12,11,10,9,2]
[2,7,10,11,8,9,12,5,6,3,4,1]=>[1,4,3,6,5,12,9,8,11,10,7,2]
[2,7,10,11,8,9,12,3,4,5,6,1]=>[1,6,5,4,3,12,9,8,11,10,7,2]
[2,5,10,11,8,9,6,7,12,3,4,1]=>[1,4,3,12,7,6,9,8,11,10,5,2]
[2,3,10,11,8,9,6,7,4,5,12,1]=>[1,12,5,4,7,6,9,8,11,10,3,2]
[2,3,10,11,8,9,4,5,6,7,12,1]=>[1,12,7,6,5,4,9,8,11,10,3,2]
[2,5,10,11,6,7,8,9,12,3,4,1]=>[1,4,3,12,9,8,7,6,11,10,5,2]
[2,3,10,11,6,7,8,9,4,5,12,1]=>[1,12,5,4,9,8,7,6,11,10,3,2]
[2,3,10,11,4,7,8,5,6,9,12,1]=>[1,12,9,6,5,8,7,4,11,10,3,2]
[2,3,10,11,4,5,6,7,8,9,12,1]=>[1,12,9,8,7,6,5,4,11,10,3,2]
[2,7,8,9,10,11,12,5,6,3,4,1]=>[1,4,3,6,5,12,11,10,9,8,7,2]
[2,7,8,9,10,11,12,3,4,5,6,1]=>[1,6,5,4,3,12,11,10,9,8,7,2]
[2,5,8,9,10,11,6,7,12,3,4,1]=>[1,4,3,12,7,6,11,10,9,8,5,2]
[2,3,8,9,10,11,6,7,4,5,12,1]=>[1,12,5,4,7,6,11,10,9,8,3,2]
[2,3,8,9,10,11,4,5,6,7,12,1]=>[1,12,7,6,5,4,11,10,9,8,3,2]
[2,5,6,9,10,7,8,11,12,3,4,1]=>[1,4,3,12,11,8,7,10,9,6,5,2]
[2,3,6,9,10,7,8,11,4,5,12,1]=>[1,12,5,4,11,8,7,10,9,6,3,2]
[2,3,4,9,10,7,8,5,6,11,12,1]=>[1,12,11,6,5,8,7,10,9,4,3,2]
[2,3,4,9,10,5,6,7,8,11,12,1]=>[1,12,11,8,7,6,5,10,9,4,3,2]
[2,5,6,7,8,9,10,11,12,3,4,1]=>[1,4,3,12,11,10,9,8,7,6,5,2]
[2,3,6,7,8,9,10,11,4,5,12,1]=>[1,12,5,4,11,10,9,8,7,6,3,2]
[2,3,4,7,8,9,10,5,6,11,12,1]=>[1,12,11,6,5,10,9,8,7,4,3,2]
[2,3,4,5,8,9,6,7,10,11,12,1]=>[1,12,11,10,7,6,9,8,5,4,3,2]
[10,12,9,11,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,11,9,12,10]
[11,12,8,10,7,9,5,6,1,2,3,4]=>[4,3,2,1,6,5,9,7,10,8,12,11]
[10,12,8,11,7,9,5,6,1,2,3,4]=>[4,3,2,1,6,5,9,7,11,8,12,10]
[9,12,8,11,7,10,5,6,1,2,3,4]=>[4,3,2,1,6,5,10,7,11,8,12,9]
[11,12,9,10,6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6,10,9,12,11]
[10,12,9,11,6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6,11,9,12,10]
[11,12,8,10,6,9,5,7,1,2,3,4]=>[4,3,2,1,7,5,9,6,10,8,12,11]
[10,12,8,11,6,9,5,7,1,2,3,4]=>[4,3,2,1,7,5,9,6,11,8,12,10]
[9,12,8,11,6,10,5,7,1,2,3,4]=>[4,3,2,1,7,5,10,6,11,8,12,9]
[11,12,7,10,6,9,5,8,1,2,3,4]=>[4,3,2,1,8,5,9,6,10,7,12,11]
[10,12,7,11,6,9,5,8,1,2,3,4]=>[4,3,2,1,8,5,9,6,11,7,12,10]
[9,12,7,11,6,10,5,8,1,2,3,4]=>[4,3,2,1,8,5,10,6,11,7,12,9]
[8,12,7,11,6,10,5,9,1,2,3,4]=>[4,3,2,1,9,5,10,6,11,7,12,8]
[11,12,9,10,7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7,10,9,12,11]
[10,12,9,11,7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7,11,9,12,10]
[11,12,8,10,7,9,4,6,1,2,3,5]=>[5,3,2,1,6,4,9,7,10,8,12,11]
[10,12,8,11,7,9,4,6,1,2,3,5]=>[5,3,2,1,6,4,9,7,11,8,12,10]
[9,12,8,11,7,10,4,6,1,2,3,5]=>[5,3,2,1,6,4,10,7,11,8,12,9]
[11,12,9,10,6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6,10,9,12,11]
[10,12,9,11,6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6,11,9,12,10]
[11,12,8,10,6,9,4,7,1,2,3,5]=>[5,3,2,1,7,4,9,6,10,8,12,11]
[10,12,8,11,6,9,4,7,1,2,3,5]=>[5,3,2,1,7,4,9,6,11,8,12,10]
[9,12,8,11,6,10,4,7,1,2,3,5]=>[5,3,2,1,7,4,10,6,11,8,12,9]
[11,12,7,10,6,9,4,8,1,2,3,5]=>[5,3,2,1,8,4,9,6,10,7,12,11]
[10,12,7,11,6,9,4,8,1,2,3,5]=>[5,3,2,1,8,4,9,6,11,7,12,10]
[9,12,7,11,6,10,4,8,1,2,3,5]=>[5,3,2,1,8,4,10,6,11,7,12,9]
[8,12,7,11,6,10,4,9,1,2,3,5]=>[5,3,2,1,9,4,10,6,11,7,12,8]
[11,12,9,10,5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5,10,9,12,11]
[10,12,9,11,5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5,11,9,12,10]
[11,12,8,10,5,9,4,7,1,2,3,6]=>[6,3,2,1,7,4,9,5,10,8,12,11]
[10,12,8,11,5,9,4,7,1,2,3,6]=>[6,3,2,1,7,4,9,5,11,8,12,10]
[9,12,8,11,5,10,4,7,1,2,3,6]=>[6,3,2,1,7,4,10,5,11,8,12,9]
[11,12,7,10,5,9,4,8,1,2,3,6]=>[6,3,2,1,8,4,9,5,10,7,12,11]
[10,12,7,11,5,9,4,8,1,2,3,6]=>[6,3,2,1,8,4,9,5,11,7,12,10]
[9,12,7,11,5,10,4,8,1,2,3,6]=>[6,3,2,1,8,4,10,5,11,7,12,9]
[8,12,7,11,5,10,4,9,1,2,3,6]=>[6,3,2,1,9,4,10,5,11,7,12,8]
[11,12,6,10,5,9,4,8,1,2,3,7]=>[7,3,2,1,8,4,9,5,10,6,12,11]
[10,12,6,11,5,9,4,8,1,2,3,7]=>[7,3,2,1,8,4,9,5,11,6,12,10]
[9,12,6,11,5,10,4,8,1,2,3,7]=>[7,3,2,1,8,4,10,5,11,6,12,9]
[8,12,6,11,5,10,4,9,1,2,3,7]=>[7,3,2,1,9,4,10,5,11,6,12,8]
[7,12,6,11,5,10,4,9,1,2,3,8]=>[8,3,2,1,9,4,10,5,11,6,12,7]
[11,12,9,10,7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7,10,9,12,11]
[10,12,9,11,7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7,11,9,12,10]
[11,12,8,10,7,9,3,5,1,2,4,6]=>[6,4,2,1,5,3,9,7,10,8,12,11]
[10,12,8,11,7,9,3,5,1,2,4,6]=>[6,4,2,1,5,3,9,7,11,8,12,10]
[9,12,8,11,7,10,3,5,1,2,4,6]=>[6,4,2,1,5,3,10,7,11,8,12,9]
[11,12,9,10,6,8,3,5,1,2,4,7]=>[7,4,2,1,5,3,8,6,10,9,12,11]
[10,12,9,11,6,8,3,5,1,2,4,7]=>[7,4,2,1,5,3,8,6,11,9,12,10]
[11,12,8,10,6,9,3,5,1,2,4,7]=>[7,4,2,1,5,3,9,6,10,8,12,11]
[10,12,8,11,6,9,3,5,1,2,4,7]=>[7,4,2,1,5,3,9,6,11,8,12,10]
[9,12,8,11,6,10,3,5,1,2,4,7]=>[7,4,2,1,5,3,10,6,11,8,12,9]
[11,12,7,10,6,9,3,5,1,2,4,8]=>[8,4,2,1,5,3,9,6,10,7,12,11]
[10,12,7,11,6,9,3,5,1,2,4,8]=>[8,4,2,1,5,3,9,6,11,7,12,10]
[9,12,7,11,6,10,3,5,1,2,4,8]=>[8,4,2,1,5,3,10,6,11,7,12,9]
[8,12,7,11,6,10,3,5,1,2,4,9]=>[9,4,2,1,5,3,10,6,11,7,12,8]
[11,12,9,10,7,8,3,6,1,2,4,5]=>[5,4,2,1,6,3,8,7,10,9,12,11]
[10,12,9,11,7,8,3,6,1,2,4,5]=>[5,4,2,1,6,3,8,7,11,9,12,10]
[11,12,8,10,7,9,3,6,1,2,4,5]=>[5,4,2,1,6,3,9,7,10,8,12,11]
[10,12,8,11,7,9,3,6,1,2,4,5]=>[5,4,2,1,6,3,9,7,11,8,12,10]
[9,12,8,11,7,10,3,6,1,2,4,5]=>[5,4,2,1,6,3,10,7,11,8,12,9]
[11,12,9,10,6,8,3,7,1,2,4,5]=>[5,4,2,1,7,3,8,6,10,9,12,11]
[10,12,9,11,6,8,3,7,1,2,4,5]=>[5,4,2,1,7,3,8,6,11,9,12,10]
[11,12,8,10,6,9,3,7,1,2,4,5]=>[5,4,2,1,7,3,9,6,10,8,12,11]
[10,12,8,11,6,9,3,7,1,2,4,5]=>[5,4,2,1,7,3,9,6,11,8,12,10]
[9,12,8,11,6,10,3,7,1,2,4,5]=>[5,4,2,1,7,3,10,6,11,8,12,9]
[11,12,7,10,6,9,3,8,1,2,4,5]=>[5,4,2,1,8,3,9,6,10,7,12,11]
[10,12,7,11,6,9,3,8,1,2,4,5]=>[5,4,2,1,8,3,9,6,11,7,12,10]
[9,12,7,11,6,10,3,8,1,2,4,5]=>[5,4,2,1,8,3,10,6,11,7,12,9]
[8,12,7,11,6,10,3,9,1,2,4,5]=>[5,4,2,1,9,3,10,6,11,7,12,8]
[11,12,9,10,5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5,10,9,12,11]
[10,12,9,11,5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5,11,9,12,10]
[11,12,8,10,5,9,3,7,1,2,4,6]=>[6,4,2,1,7,3,9,5,10,8,12,11]
[10,12,8,11,5,9,3,7,1,2,4,6]=>[6,4,2,1,7,3,9,5,11,8,12,10]
[9,12,8,11,5,10,3,7,1,2,4,6]=>[6,4,2,1,7,3,10,5,11,8,12,9]
[11,12,7,10,5,9,3,8,1,2,4,6]=>[6,4,2,1,8,3,9,5,10,7,12,11]
[10,12,7,11,5,9,3,8,1,2,4,6]=>[6,4,2,1,8,3,9,5,11,7,12,10]
[9,12,7,11,5,10,3,8,1,2,4,6]=>[6,4,2,1,8,3,10,5,11,7,12,9]
[8,12,7,11,5,10,3,9,1,2,4,6]=>[6,4,2,1,9,3,10,5,11,7,12,8]
[11,12,6,10,5,9,3,8,1,2,4,7]=>[7,4,2,1,8,3,9,5,10,6,12,11]
[10,12,6,11,5,9,3,8,1,2,4,7]=>[7,4,2,1,8,3,9,5,11,6,12,10]
[9,12,6,11,5,10,3,8,1,2,4,7]=>[7,4,2,1,8,3,10,5,11,6,12,9]
[8,12,6,11,5,10,3,9,1,2,4,7]=>[7,4,2,1,9,3,10,5,11,6,12,8]
[7,12,6,11,5,10,3,9,1,2,4,8]=>[8,4,2,1,9,3,10,5,11,6,12,7]
[11,12,9,10,4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4,10,9,12,11]
[10,12,9,11,4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4,11,9,12,10]
[11,12,8,10,4,7,3,6,1,2,5,9]=>[9,5,2,1,6,3,7,4,10,8,12,11]
[10,12,8,11,4,7,3,6,1,2,5,9]=>[9,5,2,1,6,3,7,4,11,8,12,10]
[9,12,8,11,4,7,3,6,1,2,5,10]=>[10,5,2,1,6,3,7,4,11,8,12,9]
[11,12,9,10,4,8,3,6,1,2,5,7]=>[7,5,2,1,6,3,8,4,10,9,12,11]
[10,12,9,11,4,8,3,6,1,2,5,7]=>[7,5,2,1,6,3,8,4,11,9,12,10]
[11,12,8,10,4,9,3,6,1,2,5,7]=>[7,5,2,1,6,3,9,4,10,8,12,11]
[10,12,8,11,4,9,3,6,1,2,5,7]=>[7,5,2,1,6,3,9,4,11,8,12,10]
[9,12,8,11,4,10,3,6,1,2,5,7]=>[7,5,2,1,6,3,10,4,11,8,12,9]
[11,12,7,10,4,9,3,6,1,2,5,8]=>[8,5,2,1,6,3,9,4,10,7,12,11]
[10,12,7,11,4,9,3,6,1,2,5,8]=>[8,5,2,1,6,3,9,4,11,7,12,10]
[9,12,7,11,4,10,3,6,1,2,5,8]=>[8,5,2,1,6,3,10,4,11,7,12,9]
[8,12,7,11,4,10,3,6,1,2,5,9]=>[9,5,2,1,6,3,10,4,11,7,12,8]
[11,12,9,10,4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4,10,9,12,11]
[10,12,9,11,4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4,11,9,12,10]
[11,12,8,10,4,9,3,7,1,2,5,6]=>[6,5,2,1,7,3,9,4,10,8,12,11]
[10,12,8,11,4,9,3,7,1,2,5,6]=>[6,5,2,1,7,3,9,4,11,8,12,10]
[9,12,8,11,4,10,3,7,1,2,5,6]=>[6,5,2,1,7,3,10,4,11,8,12,9]
[11,12,7,10,4,9,3,8,1,2,5,6]=>[6,5,2,1,8,3,9,4,10,7,12,11]
[10,12,7,11,4,9,3,8,1,2,5,6]=>[6,5,2,1,8,3,9,4,11,7,12,10]
[9,12,7,11,4,10,3,8,1,2,5,6]=>[6,5,2,1,8,3,10,4,11,7,12,9]
[8,12,7,11,4,10,3,9,1,2,5,6]=>[6,5,2,1,9,3,10,4,11,7,12,8]
[11,12,6,10,4,9,3,8,1,2,5,7]=>[7,5,2,1,8,3,9,4,10,6,12,11]
[10,12,6,11,4,9,3,8,1,2,5,7]=>[7,5,2,1,8,3,9,4,11,6,12,10]
[9,12,6,11,4,10,3,8,1,2,5,7]=>[7,5,2,1,8,3,10,4,11,6,12,9]
[8,12,6,11,4,10,3,9,1,2,5,7]=>[7,5,2,1,9,3,10,4,11,6,12,8]
[7,12,6,11,4,10,3,9,1,2,5,8]=>[8,5,2,1,9,3,10,4,11,6,12,7]
[11,12,5,9,4,8,3,7,1,2,6,10]=>[10,6,2,1,7,3,8,4,9,5,12,11]
[10,12,5,9,4,8,3,7,1,2,6,11]=>[11,6,2,1,7,3,8,4,9,5,12,10]
[11,12,5,10,4,8,3,7,1,2,6,9]=>[9,6,2,1,7,3,8,4,10,5,12,11]
[10,12,5,11,4,8,3,7,1,2,6,9]=>[9,6,2,1,7,3,8,4,11,5,12,10]
[9,12,5,11,4,8,3,7,1,2,6,10]=>[10,6,2,1,7,3,8,4,11,5,12,9]
[11,12,5,10,4,9,3,7,1,2,6,8]=>[8,6,2,1,7,3,9,4,10,5,12,11]
[10,12,5,11,4,9,3,7,1,2,6,8]=>[8,6,2,1,7,3,9,4,11,5,12,10]
[9,12,5,11,4,10,3,7,1,2,6,8]=>[8,6,2,1,7,3,10,4,11,5,12,9]
[8,12,5,11,4,10,3,7,1,2,6,9]=>[9,6,2,1,7,3,10,4,11,5,12,8]
[11,12,5,10,4,9,3,8,1,2,6,7]=>[7,6,2,1,8,3,9,4,10,5,12,11]
[10,12,5,11,4,9,3,8,1,2,6,7]=>[7,6,2,1,8,3,9,4,11,5,12,10]
[9,12,5,11,4,10,3,8,1,2,6,7]=>[7,6,2,1,8,3,10,4,11,5,12,9]
[8,12,5,11,4,10,3,9,1,2,6,7]=>[7,6,2,1,9,3,10,4,11,5,12,8]
[7,12,5,11,4,10,3,9,1,2,6,8]=>[8,6,2,1,9,3,10,4,11,5,12,7]
[6,11,5,10,4,9,3,8,1,2,7,12]=>[12,7,2,1,8,3,9,4,10,5,11,6]
[6,12,5,10,4,9,3,8,1,2,7,11]=>[11,7,2,1,8,3,9,4,10,5,12,6]
[6,12,5,11,4,9,3,8,1,2,7,10]=>[10,7,2,1,8,3,9,4,11,5,12,6]
[6,12,5,11,4,10,3,8,1,2,7,9]=>[9,7,2,1,8,3,10,4,11,5,12,6]
[6,12,5,11,4,10,3,9,1,2,7,8]=>[8,7,2,1,9,3,10,4,11,5,12,6]
[1,4,6,8,10,12,2,3,5,7,9,11]=>[11,9,7,5,3,2,12,10,8,6,4,1]
[8,7,10,9,12,11,2,1,5,6,4,3]=>[3,4,6,5,1,2,11,12,9,10,7,8]
[8,7,10,9,12,11,3,4,2,1,6,5]=>[5,6,1,2,4,3,11,12,9,10,7,8]
[8,7,10,9,12,11,3,5,2,6,4,1]=>[1,4,6,2,5,3,11,12,9,10,7,8]
[8,7,10,9,12,11,4,5,6,3,2,1]=>[1,2,3,6,5,4,11,12,9,10,7,8]
[7,6,9,8,10,1,11,12,3,2,5,4]=>[4,5,2,3,12,11,1,10,8,9,6,7]
[7,6,9,8,10,1,11,12,4,5,3,2]=>[2,3,5,4,12,11,1,10,8,9,6,7]
[7,6,10,9,11,2,12,3,4,1,8,5]=>[5,8,1,4,3,12,2,11,9,10,6,7]
[7,6,10,9,11,2,12,4,3,8,5,1]=>[1,5,8,3,4,12,2,11,9,10,6,7]
[7,6,10,9,11,3,12,4,8,5,2,1]=>[1,2,5,8,4,12,3,11,9,10,6,7]
[9,5,11,10,12,1,3,4,6,2,8,7]=>[7,8,2,6,4,3,1,12,10,11,5,9]
[9,5,11,10,12,1,4,3,6,8,7,2]=>[2,7,8,6,3,4,1,12,10,11,5,9]
[9,5,11,10,12,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,12,10,11,5,9]
[10,9,12,11,1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1,11,12,9,10]
[8,7,11,12,10,9,2,1,4,3,6,5]=>[5,6,3,4,1,2,9,10,12,11,7,8]
[8,7,11,12,10,9,2,1,5,6,4,3]=>[3,4,6,5,1,2,9,10,12,11,7,8]
[8,7,11,12,10,9,3,4,2,1,6,5]=>[5,6,1,2,4,3,9,10,12,11,7,8]
[8,7,11,12,10,9,3,5,2,6,4,1]=>[1,4,6,2,5,3,9,10,12,11,7,8]
[8,7,11,12,10,9,4,5,6,3,2,1]=>[1,2,3,6,5,4,9,10,12,11,7,8]
[7,6,9,11,8,1,12,10,3,2,5,4]=>[4,5,2,3,10,12,1,8,11,9,6,7]
[7,6,9,11,8,1,12,10,4,5,3,2]=>[2,3,5,4,10,12,1,8,11,9,6,7]
[7,6,9,10,8,2,11,3,1,12,5,4]=>[4,5,12,1,3,11,2,8,10,9,6,7]
[7,6,9,11,8,2,12,4,1,5,10,3]=>[3,10,5,1,4,12,2,8,11,9,6,7]
[7,6,9,11,8,3,12,4,5,2,10,1]=>[1,10,2,5,4,12,3,8,11,9,6,7]
[8,5,10,11,9,1,3,4,2,12,7,6]=>[6,7,12,2,4,3,1,9,11,10,5,8]
[8,5,11,12,9,1,4,3,2,7,10,6]=>[6,10,7,2,3,4,1,9,12,11,5,8]
[8,5,11,12,9,2,4,3,7,6,10,1]=>[1,10,6,7,3,4,2,9,12,11,5,8]
[8,4,9,12,11,2,5,7,6,3,10,1]=>[1,10,3,6,7,5,2,11,12,9,4,8]
[6,5,7,11,12,8,9,10,2,1,4,3]=>[3,4,1,2,10,9,8,12,11,7,5,6]
[6,5,7,11,12,8,9,10,3,4,2,1]=>[1,2,4,3,10,9,8,12,11,7,5,6]
[7,6,10,11,1,8,9,3,2,12,5,4]=>[4,5,12,2,3,9,8,1,11,10,6,7]
[7,6,11,12,1,8,9,4,2,5,10,3]=>[3,10,5,2,4,9,8,1,12,11,6,7]
[7,6,11,12,2,8,9,4,5,3,10,1]=>[1,10,3,5,4,9,8,2,12,11,6,7]
[7,5,8,10,1,9,3,2,11,12,6,4]=>[4,6,12,11,2,3,9,1,10,8,5,7]
[7,5,8,11,1,9,4,2,12,6,10,3]=>[3,10,6,12,2,4,9,1,11,8,5,7]
[7,5,8,12,2,11,4,1,6,9,10,3]=>[3,10,9,6,1,4,11,2,12,8,5,7]
[7,4,8,12,1,11,5,6,3,9,10,2]=>[2,10,9,3,6,5,11,1,12,8,4,7]
[6,5,7,8,1,2,9,10,11,12,4,3]=>[3,4,12,11,10,9,2,1,8,7,5,6]
[6,5,7,8,1,3,9,11,12,4,10,2]=>[2,10,4,12,11,9,3,1,8,7,5,6]
[6,5,7,8,2,3,11,12,4,9,10,1]=>[1,10,9,4,12,11,3,2,8,7,5,6]
[6,4,7,11,1,3,12,5,8,9,10,2]=>[2,10,9,8,5,12,3,1,11,7,4,6]
[5,4,11,12,1,2,6,7,8,9,10,3]=>[3,10,9,8,7,6,2,1,12,11,4,5]
[9,10,8,7,12,11,2,1,4,3,6,5]=>[5,6,3,4,1,2,11,12,7,8,10,9]
[9,10,8,7,12,11,2,1,5,6,4,3]=>[3,4,6,5,1,2,11,12,7,8,10,9]
[9,10,8,7,12,11,3,4,2,1,6,5]=>[5,6,1,2,4,3,11,12,7,8,10,9]
[9,10,8,7,12,11,3,5,2,6,4,1]=>[1,4,6,2,5,3,11,12,7,8,10,9]
[9,10,8,7,12,11,4,5,6,3,2,1]=>[1,2,3,6,5,4,11,12,7,8,10,9]
[8,9,7,6,10,1,11,12,3,2,5,4]=>[4,5,2,3,12,11,1,10,6,7,9,8]
[8,9,7,6,10,1,11,12,4,5,3,2]=>[2,3,5,4,12,11,1,10,6,7,9,8]
[9,10,7,6,11,2,12,3,4,1,8,5]=>[5,8,1,4,3,12,2,11,6,7,10,9]
[9,10,7,6,11,2,12,4,3,8,5,1]=>[1,5,8,3,4,12,2,11,6,7,10,9]
[9,10,7,6,11,3,12,4,8,5,2,1]=>[1,2,5,8,4,12,3,11,6,7,10,9]
[10,11,9,5,12,1,3,4,6,2,8,7]=>[7,8,2,6,4,3,1,12,5,9,11,10]
[10,11,9,5,12,1,4,3,6,8,7,2]=>[2,7,8,6,3,4,1,12,5,9,11,10]
[10,11,9,5,12,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,12,5,9,11,10]
[11,12,10,9,1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1,9,10,12,11]
[9,11,8,12,10,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,10,12,8,11,9]
[9,11,8,12,10,7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7,10,12,8,11,9]
[9,11,8,12,10,7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7,10,12,8,11,9]
[9,11,8,12,10,7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7,10,12,8,11,9]
[9,11,8,12,10,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,10,12,8,11,9]
[7,10,6,11,9,1,12,8,3,2,5,4]=>[4,5,2,3,8,12,1,9,11,6,10,7]
[7,10,6,11,9,1,12,8,4,5,3,2]=>[2,3,5,4,8,12,1,9,11,6,10,7]
[7,9,6,11,8,2,12,3,1,10,5,4]=>[4,5,10,1,3,12,2,8,11,6,9,7]
[7,9,6,10,8,2,11,4,1,5,3,12]=>[12,3,5,1,4,11,2,8,10,6,9,7]
[7,9,6,10,8,3,11,4,5,2,1,12]=>[12,1,2,5,4,11,3,8,10,6,9,7]
[8,11,5,12,9,1,3,4,2,10,7,6]=>[6,7,10,2,4,3,1,9,12,5,11,8]
[8,10,5,11,9,1,4,3,2,7,6,12]=>[12,6,7,2,3,4,1,9,11,5,10,8]
[8,10,5,11,9,2,4,3,7,6,1,12]=>[12,1,6,7,3,4,2,9,11,5,10,8]
[8,9,4,11,10,2,5,7,6,3,1,12]=>[12,1,3,6,7,5,2,10,11,4,9,8]
[6,7,5,11,12,9,10,8,2,1,4,3]=>[3,4,1,2,8,10,9,12,11,5,7,6]
[6,7,5,11,12,9,10,8,3,4,2,1]=>[1,2,4,3,8,10,9,12,11,5,7,6]
[7,11,6,12,1,8,9,3,2,10,5,4]=>[4,5,10,2,3,9,8,1,12,6,11,7]
[7,10,6,11,1,8,9,4,2,5,3,12]=>[12,3,5,2,4,9,8,1,11,6,10,7]
[7,10,6,11,2,8,9,4,5,3,1,12]=>[12,1,3,5,4,9,8,2,11,6,10,7]
[7,8,5,11,1,9,3,2,12,10,6,4]=>[4,6,10,12,2,3,9,1,11,5,8,7]
[7,8,5,10,1,9,4,2,11,6,3,12]=>[12,3,6,11,2,4,9,1,10,5,8,7]
[7,8,5,11,2,10,4,1,6,9,3,12]=>[12,3,9,6,1,4,10,2,11,5,8,7]
[7,8,4,11,1,10,5,6,3,9,2,12]=>[12,2,9,3,6,5,10,1,11,4,8,7]
[6,7,5,8,1,2,9,11,12,10,4,3]=>[3,4,10,12,11,9,2,1,8,5,7,6]
[6,7,5,8,1,3,9,10,11,4,2,12]=>[12,2,4,11,10,9,3,1,8,5,7,6]
[6,7,5,8,2,3,10,11,4,9,1,12]=>[12,1,9,4,11,10,3,2,8,5,7,6]
[6,7,4,10,1,3,11,5,8,9,2,12]=>[12,2,9,8,5,11,3,1,10,4,7,6]
[5,10,4,11,1,2,6,7,8,9,3,12]=>[12,3,9,8,7,6,2,1,11,4,10,5]
[10,11,12,9,8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8,9,12,11,10]
[10,11,12,9,8,7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7,8,9,12,11,10]
[10,11,12,9,8,7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7,8,9,12,11,10]
[10,11,12,9,8,7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7,8,9,12,11,10]
[10,11,12,9,8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8,9,12,11,10]
[9,10,11,7,6,1,12,8,3,2,5,4]=>[4,5,2,3,8,12,1,6,7,11,10,9]
[9,10,11,7,6,1,12,8,4,5,3,2]=>[2,3,5,4,8,12,1,6,7,11,10,9]
[8,9,11,7,6,2,12,3,1,10,5,4]=>[4,5,10,1,3,12,2,6,7,11,9,8]
[8,9,10,7,6,2,11,4,1,5,3,12]=>[12,3,5,1,4,11,2,6,7,10,9,8]
[8,9,10,7,6,3,11,4,5,2,1,12]=>[12,1,2,5,4,11,3,6,7,10,9,8]
[9,11,12,8,5,1,3,4,2,10,7,6]=>[6,7,10,2,4,3,1,5,8,12,11,9]
[9,10,11,8,5,1,4,3,2,7,6,12]=>[12,6,7,2,3,4,1,5,8,11,10,9]
[9,10,11,8,5,2,4,3,7,6,1,12]=>[12,1,6,7,3,4,2,5,8,11,10,9]
[9,10,11,4,8,2,5,7,6,3,1,12]=>[12,1,3,6,7,5,2,8,4,11,10,9]
[6,9,11,5,12,10,7,8,2,1,4,3]=>[3,4,1,2,8,7,10,12,5,11,9,6]
[6,9,11,5,12,10,7,8,3,4,2,1]=>[1,2,4,3,8,7,10,12,5,11,9,6]
[8,11,12,6,1,9,7,3,2,10,5,4]=>[4,5,10,2,3,7,9,1,6,12,11,8]
[8,10,11,6,1,9,7,4,2,5,3,12]=>[12,3,5,2,4,7,9,1,6,11,10,8]
[8,10,11,6,2,9,7,4,5,3,1,12]=>[12,1,3,5,4,7,9,2,6,11,10,8]
[7,8,12,5,1,11,3,2,9,10,6,4]=>[4,6,10,9,2,3,11,1,5,12,8,7]
[7,8,11,5,1,10,4,2,9,6,3,12]=>[12,3,6,9,2,4,10,1,5,11,8,7]
[7,8,10,5,2,9,4,1,6,3,11,12]=>[12,11,3,6,1,4,9,2,5,10,8,7]
[7,8,10,4,1,9,5,6,3,2,11,12]=>[12,11,2,3,6,5,9,1,4,10,8,7]
[6,7,8,5,1,2,11,12,9,10,4,3]=>[3,4,10,9,12,11,2,1,5,8,7,6]
[6,7,8,5,1,3,10,11,9,4,2,12]=>[12,2,4,9,11,10,3,1,5,8,7,6]
[6,7,8,5,2,3,9,10,4,1,11,12]=>[12,11,1,4,10,9,3,2,5,8,7,6]
[6,7,9,4,1,3,10,5,8,2,11,12]=>[12,11,2,8,5,10,3,1,4,9,7,6]
[5,9,10,4,1,2,6,7,8,3,11,12]=>[12,11,3,8,7,6,2,1,4,10,9,5]
[9,10,11,12,5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5,12,11,10,9]
[9,10,11,12,5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5,12,11,10,9]
[4,9,11,12,8,6,7,2,1,10,5,3]=>[3,5,10,1,2,7,6,8,12,11,9,4]
[4,9,10,11,8,6,7,3,1,5,2,12]=>[12,2,5,1,3,7,6,8,11,10,9,4]
[9,10,11,1,8,6,7,4,5,3,2,12]=>[12,2,3,5,4,7,6,8,1,11,10,9]
[4,8,11,12,5,7,2,1,9,10,6,3]=>[3,6,10,9,1,2,7,5,12,11,8,4]
[4,8,10,11,5,7,3,1,9,6,2,12]=>[12,2,6,9,1,3,7,5,11,10,8,4]
[8,9,10,1,5,7,4,2,6,3,11,12]=>[12,11,3,6,2,4,7,5,1,10,9,8]
[4,9,10,1,8,7,5,6,3,2,11,12]=>[12,11,2,3,6,5,7,8,1,10,9,4]
[4,6,7,11,5,1,12,8,9,10,3,2]=>[2,3,10,9,8,12,1,5,11,7,6,4]
[4,6,7,10,5,2,11,8,9,3,1,12]=>[12,1,3,9,8,11,2,5,10,7,6,4]
[6,7,9,1,5,3,10,8,4,2,11,12]=>[12,11,2,4,8,10,3,5,1,9,7,6]
[4,7,8,1,6,3,9,5,2,10,11,12]=>[12,11,10,2,5,9,3,6,1,8,7,4]
[4,8,9,1,5,2,6,7,3,10,11,12]=>[12,11,10,3,7,6,2,5,1,9,8,4]
[4,5,11,12,1,6,7,8,9,10,3,2]=>[2,3,10,9,8,7,6,1,12,11,5,4]
[4,5,10,11,2,6,7,8,9,3,1,12]=>[12,1,3,9,8,7,6,2,11,10,5,4]
[5,9,10,1,3,6,7,8,4,2,11,12]=>[12,11,2,4,8,7,6,3,1,10,9,5]
[4,8,9,1,2,6,7,5,3,10,11,12]=>[12,11,10,3,5,7,6,2,1,9,8,4]
[4,5,8,1,2,7,6,3,9,10,11,12]=>[12,11,10,9,3,6,7,2,1,8,5,4]
[4,5,6,1,2,3,7,8,9,10,11,12]=>[12,11,10,9,8,7,3,2,1,6,5,4]
[1,2,3,4,5,6,7,12,10,11,8,9]=>[9,8,11,10,12,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,12,9,10,8,11]=>[11,8,10,9,12,7,6,5,4,3,2,1]
[1,2,3,4,5,10,8,9,6,7,11,12]=>[12,11,7,6,9,8,10,5,4,3,2,1]
[1,2,3,4,5,12,10,11,8,9,6,7]=>[7,6,9,8,11,10,12,5,4,3,2,1]
[1,2,3,4,5,12,9,10,6,7,8,11]=>[11,8,7,6,10,9,12,5,4,3,2,1]
[1,2,3,4,5,10,7,8,6,9,11,12]=>[12,11,9,6,8,7,10,5,4,3,2,1]
[1,2,3,4,5,12,10,11,7,8,6,9]=>[9,6,8,7,11,10,12,5,4,3,2,1]
[1,2,3,4,5,12,9,10,6,11,7,8]=>[8,7,11,6,10,9,12,5,4,3,2,1]
[1,2,3,4,5,12,8,9,6,11,7,10]=>[10,7,11,6,9,8,12,5,4,3,2,1]
[1,2,3,6,4,5,7,12,10,11,8,9]=>[9,8,11,10,12,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,12,9,10,8,11]=>[11,8,10,9,12,7,5,4,6,3,2,1]
[1,2,3,8,6,7,4,5,9,10,11,12]=>[12,11,10,9,5,4,7,6,8,3,2,1]
[1,2,3,8,6,7,4,5,9,12,10,11]=>[11,10,12,9,5,4,7,6,8,3,2,1]
[1,2,3,10,8,9,6,7,4,5,11,12]=>[12,11,5,4,7,6,9,8,10,3,2,1]
[1,2,3,12,10,11,8,9,6,7,4,5]=>[5,4,7,6,9,8,11,10,12,3,2,1]
[1,2,3,12,9,10,6,7,4,5,8,11]=>[11,8,5,4,7,6,10,9,12,3,2,1]
[1,2,3,10,7,8,4,5,6,9,11,12]=>[12,11,9,6,5,4,8,7,10,3,2,1]
[1,2,3,12,10,11,7,8,4,5,6,9]=>[9,6,5,4,8,7,11,10,12,3,2,1]
[1,2,3,12,9,10,6,11,7,8,4,5]=>[5,4,8,7,11,6,10,9,12,3,2,1]
[1,2,3,12,8,9,4,5,6,11,7,10]=>[10,7,11,6,5,4,9,8,12,3,2,1]
[1,2,3,8,5,6,4,7,9,10,11,12]=>[12,11,10,9,7,4,6,5,8,3,2,1]
[1,2,3,8,5,6,4,7,9,12,10,11]=>[11,10,12,9,7,4,6,5,8,3,2,1]
[1,2,3,10,8,9,5,6,4,7,11,12]=>[12,11,7,4,6,5,9,8,10,3,2,1]
[1,2,3,12,10,11,8,9,5,6,4,7]=>[7,4,6,5,9,8,11,10,12,3,2,1]
[1,2,3,12,9,10,5,6,4,7,8,11]=>[11,8,7,4,6,5,10,9,12,3,2,1]
[1,2,3,10,7,8,4,9,5,6,11,12]=>[12,11,6,5,9,4,8,7,10,3,2,1]
[1,2,3,12,10,11,7,8,4,9,5,6]=>[6,5,9,4,8,7,11,10,12,3,2,1]
[1,2,3,12,9,10,5,6,4,11,7,8]=>[8,7,11,4,6,5,10,9,12,3,2,1]
[1,2,3,12,8,9,4,11,7,10,5,6]=>[6,5,10,7,11,4,9,8,12,3,2,1]
[1,2,3,10,6,7,4,9,5,8,11,12]=>[12,11,8,5,9,4,7,6,10,3,2,1]
[1,2,3,12,10,11,6,7,4,9,5,8]=>[8,5,9,4,7,6,11,10,12,3,2,1]
[1,2,3,12,9,10,5,8,4,11,6,7]=>[7,6,11,4,8,5,10,9,12,3,2,1]
[1,2,3,12,8,9,4,11,6,7,5,10]=>[10,5,7,6,11,4,9,8,12,3,2,1]
[1,2,3,12,7,8,4,11,6,9,5,10]=>[10,5,9,6,11,4,8,7,12,3,2,1]
[1,4,2,3,5,6,7,12,10,11,8,9]=>[9,8,11,10,12,7,6,5,3,2,4,1]
[1,4,2,3,5,6,7,12,9,10,8,11]=>[11,8,10,9,12,7,6,5,3,2,4,1]
[1,4,2,3,5,10,8,9,6,7,11,12]=>[12,11,7,6,9,8,10,5,3,2,4,1]
[1,4,2,3,5,12,10,11,8,9,6,7]=>[7,6,9,8,11,10,12,5,3,2,4,1]
[1,4,2,3,5,12,9,10,6,7,8,11]=>[11,8,7,6,10,9,12,5,3,2,4,1]
[1,4,2,3,5,10,7,8,6,9,11,12]=>[12,11,9,6,8,7,10,5,3,2,4,1]
[1,4,2,3,5,12,10,11,7,8,6,9]=>[9,6,8,7,11,10,12,5,3,2,4,1]
[1,4,2,3,5,12,9,10,6,11,7,8]=>[8,7,11,6,10,9,12,5,3,2,4,1]
[1,4,2,3,5,12,8,9,6,11,7,10]=>[10,7,11,6,9,8,12,5,3,2,4,1]
[1,6,4,5,2,3,7,8,9,10,11,12]=>[12,11,10,9,8,7,3,2,5,4,6,1]
[1,6,4,5,2,3,7,8,9,12,10,11]=>[11,10,12,9,8,7,3,2,5,4,6,1]
[1,6,4,5,2,3,7,10,8,9,11,12]=>[12,11,9,8,10,7,3,2,5,4,6,1]
[1,6,4,5,2,3,7,12,10,11,8,9]=>[9,8,11,10,12,7,3,2,5,4,6,1]
[1,6,4,5,2,3,7,12,9,10,8,11]=>[11,8,10,9,12,7,3,2,5,4,6,1]
[1,8,6,7,4,5,2,3,9,10,11,12]=>[12,11,10,9,3,2,5,4,7,6,8,1]
[1,8,6,7,4,5,2,3,9,12,10,11]=>[11,10,12,9,3,2,5,4,7,6,8,1]
[1,10,8,9,6,7,4,5,2,3,11,12]=>[12,11,3,2,5,4,7,6,9,8,10,1]
[1,12,10,11,8,9,6,7,4,5,2,3]=>[3,2,5,4,7,6,9,8,11,10,12,1]
[1,12,9,10,6,7,4,5,2,3,8,11]=>[11,8,3,2,5,4,7,6,10,9,12,1]
[1,10,7,8,4,5,2,3,6,9,11,12]=>[12,11,9,6,3,2,5,4,8,7,10,1]
[1,12,10,11,7,8,4,5,2,3,6,9]=>[9,6,3,2,5,4,8,7,11,10,12,1]
[1,12,9,10,6,11,7,8,4,5,2,3]=>[3,2,5,4,8,7,11,6,10,9,12,1]
[1,12,8,9,4,5,2,3,6,11,7,10]=>[10,7,11,6,3,2,5,4,9,8,12,1]
[1,8,5,6,2,3,4,7,9,10,11,12]=>[12,11,10,9,7,4,3,2,6,5,8,1]
[1,8,5,6,2,3,4,7,9,12,10,11]=>[11,10,12,9,7,4,3,2,6,5,8,1]
[1,10,8,9,5,6,2,3,4,7,11,12]=>[12,11,7,4,3,2,6,5,9,8,10,1]
[1,12,10,11,8,9,5,6,2,3,4,7]=>[7,4,3,2,6,5,9,8,11,10,12,1]
[1,12,9,10,5,6,2,3,4,7,8,11]=>[11,8,7,4,3,2,6,5,10,9,12,1]
[1,10,7,8,4,9,5,6,2,3,11,12]=>[12,11,3,2,6,5,9,4,8,7,10,1]
[1,12,10,11,7,8,4,9,5,6,2,3]=>[3,2,6,5,9,4,8,7,11,10,12,1]
[1,12,9,10,5,6,2,3,4,11,7,8]=>[8,7,11,4,3,2,6,5,10,9,12,1]
[1,12,8,9,4,11,7,10,5,6,2,3]=>[3,2,6,5,10,7,11,4,9,8,12,1]
[1,10,6,7,2,3,4,9,5,8,11,12]=>[12,11,8,5,9,4,3,2,7,6,10,1]
[1,12,10,11,6,7,2,3,4,9,5,8]=>[8,5,9,4,3,2,7,6,11,10,12,1]
[1,12,9,10,5,8,4,11,6,7,2,3]=>[3,2,7,6,11,4,8,5,10,9,12,1]
[1,12,8,9,4,11,6,7,2,3,5,10]=>[10,5,3,2,7,6,11,4,9,8,12,1]
[1,12,7,8,2,3,4,11,6,9,5,10]=>[10,5,9,6,11,4,3,2,8,7,12,1]
[1,6,3,4,2,5,7,8,9,10,11,12]=>[12,11,10,9,8,7,5,2,4,3,6,1]
[1,6,3,4,2,5,7,8,9,12,10,11]=>[11,10,12,9,8,7,5,2,4,3,6,1]
[1,6,3,4,2,5,7,10,8,9,11,12]=>[12,11,9,8,10,7,5,2,4,3,6,1]
[1,6,3,4,2,5,7,12,10,11,8,9]=>[9,8,11,10,12,7,5,2,4,3,6,1]
[1,6,3,4,2,5,7,12,9,10,8,11]=>[11,8,10,9,12,7,5,2,4,3,6,1]
[1,8,6,7,3,4,2,5,9,10,11,12]=>[12,11,10,9,5,2,4,3,7,6,8,1]
[1,8,6,7,3,4,2,5,9,12,10,11]=>[11,10,12,9,5,2,4,3,7,6,8,1]
[1,10,8,9,6,7,3,4,2,5,11,12]=>[12,11,5,2,4,3,7,6,9,8,10,1]
[1,12,10,11,8,9,6,7,3,4,2,5]=>[5,2,4,3,7,6,9,8,11,10,12,1]
[1,12,9,10,6,7,3,4,2,5,8,11]=>[11,8,5,2,4,3,7,6,10,9,12,1]
[1,10,7,8,3,4,2,5,6,9,11,12]=>[12,11,9,6,5,2,4,3,8,7,10,1]
[1,12,10,11,7,8,3,4,2,5,6,9]=>[9,6,5,2,4,3,8,7,11,10,12,1]
[1,12,9,10,6,11,7,8,3,4,2,5]=>[5,2,4,3,8,7,11,6,10,9,12,1]
[1,12,8,9,3,4,2,5,6,11,7,10]=>[10,7,11,6,5,2,4,3,9,8,12,1]
[1,8,5,6,2,7,3,4,9,10,11,12]=>[12,11,10,9,4,3,7,2,6,5,8,1]
[1,8,5,6,2,7,3,4,9,12,10,11]=>[11,10,12,9,4,3,7,2,6,5,8,1]
[1,10,8,9,5,6,2,7,3,4,11,12]=>[12,11,4,3,7,2,6,5,9,8,10,1]
[1,12,10,11,8,9,5,6,2,7,3,4]=>[4,3,7,2,6,5,9,8,11,10,12,1]
[1,12,9,10,5,6,2,7,3,4,8,11]=>[11,8,4,3,7,2,6,5,10,9,12,1]
[1,10,7,8,3,4,2,9,5,6,11,12]=>[12,11,6,5,9,2,4,3,8,7,10,1]
[1,12,10,11,7,8,3,4,2,9,5,6]=>[6,5,9,2,4,3,8,7,11,10,12,1]
[1,12,9,10,5,6,2,11,7,8,3,4]=>[4,3,8,7,11,2,6,5,10,9,12,1]
[1,12,8,9,3,4,2,11,7,10,5,6]=>[6,5,10,7,11,2,4,3,9,8,12,1]
[1,10,6,7,2,9,5,8,3,4,11,12]=>[12,11,4,3,8,5,9,2,7,6,10,1]
[1,12,10,11,6,7,2,9,5,8,3,4]=>[4,3,8,5,9,2,7,6,11,10,12,1]
[1,12,9,10,5,8,3,4,2,11,6,7]=>[7,6,11,2,4,3,8,5,10,9,12,1]
[1,12,8,9,3,4,2,11,6,7,5,10]=>[10,5,7,6,11,2,4,3,9,8,12,1]
[1,12,7,8,2,11,6,9,3,4,5,10]=>[10,5,4,3,9,6,11,2,8,7,12,1]
[1,8,4,5,2,7,3,6,9,10,11,12]=>[12,11,10,9,6,3,7,2,5,4,8,1]
[1,8,4,5,2,7,3,6,9,12,10,11]=>[11,10,12,9,6,3,7,2,5,4,8,1]
[1,10,8,9,4,5,2,7,3,6,11,12]=>[12,11,6,3,7,2,5,4,9,8,10,1]
[1,12,10,11,8,9,4,5,2,7,3,6]=>[6,3,7,2,5,4,9,8,11,10,12,1]
[1,12,9,10,4,5,2,7,3,6,8,11]=>[11,8,6,3,7,2,5,4,10,9,12,1]
[1,10,7,8,3,6,2,9,4,5,11,12]=>[12,11,5,4,9,2,6,3,8,7,10,1]
[1,12,10,11,7,8,3,6,2,9,4,5]=>[5,4,9,2,6,3,8,7,11,10,12,1]
[1,12,9,10,4,5,2,11,7,8,3,6]=>[6,3,8,7,11,2,5,4,10,9,12,1]
[1,12,8,9,3,6,2,11,7,10,4,5]=>[5,4,10,7,11,2,6,3,9,8,12,1]
[1,10,6,7,2,9,4,5,3,8,11,12]=>[12,11,8,3,5,4,9,2,7,6,10,1]
[1,12,10,11,6,7,2,9,4,5,3,8]=>[8,3,5,4,9,2,7,6,11,10,12,1]
[1,12,9,10,4,5,2,11,6,7,3,8]=>[8,3,7,6,11,2,5,4,10,9,12,1]
[1,12,8,9,3,10,4,5,2,11,6,7]=>[7,6,11,2,5,4,10,3,9,8,12,1]
[1,12,7,8,2,11,6,9,3,10,4,5]=>[5,4,10,3,9,6,11,2,8,7,12,1]
[1,10,5,6,2,9,4,7,3,8,11,12]=>[12,11,8,3,7,4,9,2,6,5,10,1]
[1,12,10,11,5,6,2,9,4,7,3,8]=>[8,3,7,4,9,2,6,5,11,10,12,1]
[1,12,9,10,4,7,2,11,5,6,3,8]=>[8,3,6,5,11,2,7,4,10,9,12,1]
[1,12,8,9,3,10,4,7,2,11,5,6]=>[6,5,11,2,7,4,10,3,9,8,12,1]
[1,12,7,8,2,11,5,6,3,10,4,9]=>[9,4,10,3,6,5,11,2,8,7,12,1]
[1,12,6,7,2,11,5,8,3,10,4,9]=>[9,4,10,3,8,5,11,2,7,6,12,1]
[11,12,2,3,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,3,2,12,11]
[3,2,12,1,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,1,12,2,3]
[11,2,12,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,12,2,11]
[5,8,1,2,4,3,10,7,12,9,11,6]=>[6,11,9,12,7,10,3,4,2,1,8,5]
[8,1,7,10,3,4,6,5,12,9,11,2]=>[2,11,9,12,5,6,4,3,10,7,1,8]
[5,7,1,10,2,4,6,3,12,9,11,8]=>[8,11,9,12,3,6,4,2,10,1,7,5]
[7,10,1,2,3,4,6,5,12,9,11,8]=>[8,11,9,12,5,6,4,3,2,1,10,7]
[7,10,1,2,4,5,6,3,12,9,11,8]=>[8,11,9,12,3,6,5,4,2,1,10,7]
[6,1,10,2,3,5,4,7,12,9,11,8]=>[8,11,9,12,7,4,5,3,2,10,1,6]
[5,10,1,2,4,3,12,7,8,9,11,6]=>[6,11,9,8,7,12,3,4,2,1,10,5]
[4,1,10,3,9,12,5,6,8,7,11,2]=>[2,11,7,8,6,5,12,9,3,10,1,4]
[10,1,2,3,9,12,5,6,8,7,11,4]=>[4,11,7,8,6,5,12,9,3,2,1,10]
[10,1,7,9,3,12,4,6,8,5,11,2]=>[2,11,5,8,6,4,12,3,9,7,1,10]
[5,7,1,9,2,12,4,6,8,3,11,10]=>[10,11,3,8,6,4,12,2,9,1,7,5]
[7,9,1,2,3,12,4,6,8,5,11,10]=>[10,11,5,8,6,4,12,3,2,1,9,7]
[10,1,9,12,3,4,5,6,8,7,11,2]=>[2,11,7,8,6,5,4,3,12,9,1,10]
[7,9,1,12,2,4,5,6,8,3,11,10]=>[10,11,3,8,6,5,4,2,12,1,9,7]
[6,9,12,1,2,3,5,4,8,7,11,10]=>[10,11,7,8,4,5,3,2,1,12,9,6]
[9,12,1,2,3,4,5,6,8,7,11,10]=>[10,11,7,8,6,5,4,3,2,1,12,9]
[10,1,9,12,3,4,6,7,8,5,11,2]=>[2,11,5,8,7,6,4,3,12,9,1,10]
[5,9,1,12,2,4,6,7,8,3,11,10]=>[10,11,3,8,7,6,4,2,12,1,9,5]
[9,12,1,2,3,4,6,7,8,5,11,10]=>[10,11,5,8,7,6,4,3,2,1,12,9]
[10,1,8,3,12,4,5,7,6,9,11,2]=>[2,11,9,6,7,5,4,12,3,8,1,10]
[9,8,1,2,12,4,5,7,6,3,11,10]=>[10,11,3,6,7,5,4,12,2,1,8,9]
[6,1,8,2,12,3,5,7,4,9,11,10]=>[10,11,9,4,7,5,3,12,2,8,1,6]
[8,1,12,2,3,4,5,7,6,9,11,10]=>[10,11,9,6,7,5,4,3,2,12,1,8]
[9,12,1,2,4,5,6,7,8,3,11,10]=>[10,11,3,8,7,6,5,4,2,1,12,9]
[8,1,12,2,3,5,6,7,4,9,11,10]=>[10,11,9,4,7,6,5,3,2,12,1,8]
[7,1,2,12,3,4,6,5,8,9,11,10]=>[10,11,9,8,5,6,4,3,12,2,1,7]
[5,8,1,2,4,3,12,7,9,10,11,6]=>[6,11,10,9,7,12,3,4,2,1,8,5]
[8,1,7,12,3,4,6,5,9,10,11,2]=>[2,11,10,9,5,6,4,3,12,7,1,8]
[5,7,1,12,2,4,6,3,9,10,11,8]=>[8,11,10,9,3,6,4,2,12,1,7,5]
[7,12,1,2,3,4,6,5,9,10,11,8]=>[8,11,10,9,5,6,4,3,2,1,12,7]
[7,12,1,2,4,5,6,3,9,10,11,8]=>[8,11,10,9,3,6,5,4,2,1,12,7]
[6,1,12,2,3,5,4,7,9,10,11,8]=>[8,11,10,9,7,4,5,3,2,12,1,6]
[5,12,1,2,4,3,7,11,8,10,9,6]=>[6,9,10,8,11,7,3,4,2,1,12,5]
[1,6,9,2,3,5,4,11,8,10,7,12]=>[12,7,10,8,11,4,5,3,2,9,6,1]
[12,1,3,8,11,4,5,7,6,10,9,2]=>[2,9,10,6,7,5,4,11,8,3,1,12]
[1,9,2,8,11,4,5,7,6,10,3,12]=>[12,3,10,6,7,5,4,11,8,2,9,1]
[1,6,8,2,11,3,5,7,4,10,9,12]=>[12,9,10,4,7,5,3,11,2,8,6,1]
[1,8,11,2,3,4,5,7,6,10,9,12]=>[12,9,10,6,7,5,4,3,2,11,8,1]
[1,8,11,2,3,5,6,7,4,10,9,12]=>[12,9,10,4,7,6,5,3,2,11,8,1]
[1,7,2,11,3,4,6,5,8,10,9,12]=>[12,9,10,8,5,6,4,3,11,2,7,1]
[5,12,1,2,4,3,7,8,9,10,11,6]=>[6,11,10,9,8,7,3,4,2,1,12,5]
[1,6,11,2,3,5,4,8,9,10,7,12]=>[12,7,10,9,8,4,5,3,2,11,6,1]
[1,2,7,10,3,4,6,5,9,8,11,12]=>[12,11,8,9,5,6,4,3,10,7,2,1]
[7,8,11,9,4,12,6,10,3,5,2,1]=>[1,2,5,3,10,6,12,4,9,11,8,7]
[7,8,11,9,3,12,6,10,2,5,1,4]=>[4,1,5,2,10,6,12,3,9,11,8,7]
[3,4,11,5,7,12,2,10,6,1,9,8]=>[8,9,1,6,10,2,12,7,5,11,4,3]
[4,5,11,6,8,12,3,10,7,2,9,1]=>[1,9,2,7,10,3,12,8,6,11,5,4]
[3,4,11,5,8,12,2,10,7,1,9,6]=>[6,9,1,7,10,2,12,8,5,11,4,3]
[4,5,2,6,10,12,3,1,9,11,8,7]=>[7,8,11,9,1,3,12,10,6,2,5,4]
[4,5,2,6,9,12,3,1,8,11,7,10]=>[10,7,11,8,1,3,12,9,6,2,5,4]
[6,7,4,8,10,12,5,3,9,11,2,1]=>[1,2,11,9,3,5,12,10,8,4,7,6]
[5,6,3,7,9,12,4,2,8,11,1,10]=>[10,1,11,8,2,4,12,9,7,3,6,5]
[8,9,6,10,3,12,7,5,2,11,4,1]=>[1,4,11,2,5,7,12,3,10,6,9,8]
[6,7,2,8,10,12,5,1,9,11,4,3]=>[3,4,11,9,1,5,12,10,8,2,7,6]
[5,6,2,7,9,12,4,1,8,11,3,10]=>[10,3,11,8,1,4,12,9,7,2,6,5]
[8,9,2,10,5,12,7,1,4,11,6,3]=>[3,6,11,4,1,7,12,5,10,2,9,8]
[8,9,3,10,5,12,7,2,4,11,6,1]=>[1,6,11,4,2,7,12,5,10,3,9,8]
[3,4,11,9,5,12,2,10,8,1,7,6]=>[6,7,1,8,10,2,12,5,9,11,4,3]
[4,5,11,9,6,12,3,10,8,2,7,1]=>[1,7,2,8,10,3,12,6,9,11,5,4]
[5,6,11,2,7,12,4,10,1,3,9,8]=>[8,9,3,1,10,4,12,7,2,11,6,5]
[6,7,11,2,8,12,5,10,1,4,9,3]=>[3,9,4,1,10,5,12,8,2,11,7,6]
[6,7,11,3,8,12,5,10,2,4,9,1]=>[1,9,4,2,10,5,12,8,3,11,7,6]
[8,9,6,4,10,12,7,5,3,11,2,1]=>[1,2,11,3,5,7,12,10,4,6,9,8]
[7,8,5,3,9,12,6,4,2,11,1,10]=>[10,1,11,2,4,6,12,9,3,5,8,7]
[8,9,6,2,10,12,7,5,1,11,4,3]=>[3,4,11,1,5,7,12,10,2,6,9,8]
[7,8,5,2,9,12,6,4,1,11,3,10]=>[10,3,11,1,4,6,12,9,2,5,8,7]
[5,6,3,10,7,12,4,2,9,11,1,8]=>[8,1,11,9,2,4,12,7,10,3,6,5]
[8,9,2,4,10,12,7,1,3,11,6,5]=>[5,6,11,3,1,7,12,10,4,2,9,8]
[7,8,2,4,9,12,6,1,3,11,5,10]=>[10,5,11,3,1,6,12,9,4,2,8,7]
[5,6,2,10,7,12,4,1,9,11,3,8]=>[8,3,11,9,1,4,12,7,10,2,6,5]
[3,4,8,10,5,12,2,7,9,11,1,6]=>[6,1,11,9,7,2,12,5,10,8,4,3]
[10,11,8,6,2,12,9,7,5,1,4,3]=>[3,4,1,5,7,9,12,2,6,8,11,10]
[10,11,8,6,3,12,9,7,5,2,4,1]=>[1,4,2,5,7,9,12,3,6,8,11,10]
[10,11,8,2,4,12,9,7,1,3,6,5]=>[5,6,3,1,7,9,12,4,2,8,11,10]
[10,11,8,2,5,12,9,7,1,4,6,3]=>[3,6,4,1,7,9,12,5,2,8,11,10]
[10,11,8,3,5,12,9,7,2,4,6,1]=>[1,6,4,2,7,9,12,5,3,8,11,10]
[10,11,2,4,6,12,9,1,3,5,8,7]=>[7,8,5,3,1,9,12,6,4,2,11,10]
[10,11,2,4,7,12,9,1,3,6,8,5]=>[5,8,6,3,1,9,12,7,4,2,11,10]
[10,11,2,5,7,12,9,1,4,6,8,3]=>[3,8,6,4,1,9,12,7,5,2,11,10]
[10,11,3,5,7,12,9,2,4,6,8,1]=>[1,8,6,4,2,9,12,7,5,3,11,10]
[2,3,5,7,9,12,1,4,6,8,11,10]=>[10,11,8,6,4,1,12,9,7,5,3,2]
[2,3,5,7,10,12,1,4,6,9,11,8]=>[8,11,9,6,4,1,12,10,7,5,3,2]
[2,3,5,8,10,12,1,4,7,9,11,6]=>[6,11,9,7,4,1,12,10,8,5,3,2]
[2,3,6,8,10,12,1,5,7,9,11,4]=>[4,11,9,7,5,1,12,10,8,6,3,2]
[3,4,6,8,10,12,2,5,7,9,11,1]=>[1,11,9,7,5,2,12,10,8,6,4,3]
[10,2,11,3,7,12,9,1,6,8,5,4]=>[4,5,8,6,1,9,12,7,3,11,2,10]
[10,2,11,3,6,12,9,1,5,8,4,7]=>[7,4,8,5,1,9,12,6,3,11,2,10]
[10,4,11,5,7,12,9,3,6,8,2,1]=>[1,2,8,6,3,9,12,7,5,11,4,10]
[10,3,11,4,6,12,9,2,5,8,1,7]=>[7,1,8,5,2,9,12,6,4,11,3,10]
[10,6,11,7,3,12,9,5,2,8,4,1]=>[1,4,8,2,5,9,12,3,7,11,6,10]
[2,5,3,6,10,12,1,4,9,11,8,7]=>[7,8,11,9,4,1,12,10,6,3,5,2]
[2,5,3,6,9,12,1,4,8,11,7,10]=>[10,7,11,8,4,1,12,9,6,3,5,2]
[2,7,3,8,10,12,1,6,9,11,5,4]=>[4,5,11,9,6,1,12,10,8,3,7,2]
[2,6,3,7,9,12,1,5,8,11,4,10]=>[10,4,11,8,5,1,12,9,7,3,6,2]
[2,9,3,10,6,12,1,8,5,11,7,4]=>[4,7,11,5,8,1,12,6,10,3,9,2]
[4,7,5,8,10,12,3,6,9,11,2,1]=>[1,2,11,9,6,3,12,10,8,5,7,4]
[3,6,4,7,9,12,2,5,8,11,1,10]=>[10,1,11,8,5,2,12,9,7,4,6,3]
[6,9,7,10,3,12,5,8,2,11,4,1]=>[1,4,11,2,8,5,12,3,10,7,9,6]
[3,9,4,10,6,12,2,8,5,11,1,7]=>[7,1,11,5,8,2,12,6,10,4,9,3]
[10,6,11,4,7,12,9,5,3,8,2,1]=>[1,2,8,3,5,9,12,7,4,11,6,10]
[10,5,11,3,6,12,9,4,2,8,1,7]=>[7,1,8,2,4,9,12,6,3,11,5,10]
[10,6,11,2,7,12,9,5,1,8,4,3]=>[3,4,8,1,5,9,12,7,2,11,6,10]
[10,5,11,2,6,12,9,4,1,8,3,7]=>[7,3,8,1,4,9,12,6,2,11,5,10]
[10,3,11,7,4,12,9,2,6,8,1,5]=>[5,1,8,6,2,9,12,4,7,11,3,10]
[2,9,3,7,10,12,1,8,6,11,5,4]=>[4,5,11,6,8,1,12,10,7,3,9,2]
[2,8,3,6,9,12,1,7,5,11,4,10]=>[10,4,11,5,7,1,12,9,6,3,8,2]
[2,9,3,5,10,12,1,8,4,11,7,6]=>[6,7,11,4,8,1,12,10,5,3,9,2]
[2,8,3,5,9,12,1,7,4,11,6,10]=>[10,6,11,4,7,1,12,9,5,3,8,2]
[2,6,3,10,7,12,1,5,9,11,4,8]=>[8,4,11,9,5,1,12,7,10,3,6,2]
[6,9,7,2,10,12,5,8,1,11,4,3]=>[3,4,11,1,8,5,12,10,2,7,9,6]
[5,8,6,2,9,12,4,7,1,11,3,10]=>[10,3,11,1,7,4,12,9,2,6,8,5]
[3,6,4,10,7,12,2,5,9,11,1,8]=>[8,1,11,9,5,2,12,7,10,4,6,3]
[7,3,8,10,4,12,6,2,9,11,5,1]=>[1,5,11,9,2,6,12,4,10,8,3,7]
[2,11,3,9,5,12,1,10,8,4,7,6]=>[6,7,4,8,10,1,12,5,9,3,11,2]
[2,11,3,9,6,12,1,10,8,5,7,4]=>[4,7,5,8,10,1,12,6,9,3,11,2]
[2,11,3,5,7,12,1,10,4,6,9,8]=>[8,9,6,4,10,1,12,7,5,3,11,2]
[2,11,3,5,8,12,1,10,4,7,9,6]=>[6,9,7,4,10,1,12,8,5,3,11,2]
[2,11,3,6,8,12,1,10,5,7,9,4]=>[4,9,7,5,10,1,12,8,6,3,11,2]
[8,11,9,2,4,12,7,10,1,3,6,5]=>[5,6,3,1,10,7,12,4,2,9,11,8]
[8,11,9,2,5,12,7,10,1,4,6,3]=>[3,6,4,1,10,7,12,5,2,9,11,8]
[8,11,9,3,5,12,7,10,2,4,6,1]=>[1,6,4,2,10,7,12,5,3,9,11,8]
[3,11,4,6,8,12,2,10,5,7,1,9]=>[9,1,7,5,10,2,12,8,6,4,11,3]
[4,2,5,7,9,12,3,1,6,8,11,10]=>[10,11,8,6,1,3,12,9,7,5,2,4]
[4,2,5,7,10,12,3,1,6,9,11,8]=>[8,11,9,6,1,3,12,10,7,5,2,4]
[4,2,5,8,10,12,3,1,7,9,11,6]=>[6,11,9,7,1,3,12,10,8,5,2,4]
[5,3,6,8,10,12,4,2,7,9,11,1]=>[1,11,9,7,2,4,12,10,8,6,3,5]
[5,2,6,8,10,12,4,1,7,9,11,3]=>[3,11,9,7,1,4,12,10,8,6,2,5]
[3,6,11,4,7,12,2,5,10,1,9,8]=>[8,9,1,10,5,2,12,7,4,11,6,3]
[4,7,11,5,8,12,3,6,10,2,9,1]=>[1,9,2,10,6,3,12,8,5,11,7,4]
[8,4,11,9,5,12,7,3,10,6,2,1]=>[1,2,6,10,3,7,12,5,9,11,4,8]
[8,3,11,9,4,12,7,2,10,6,1,5]=>[5,1,6,10,2,7,12,4,9,11,3,8]
[3,7,11,4,8,12,2,6,10,1,5,9]=>[9,5,1,10,6,2,12,8,4,11,7,3]
[6,9,4,7,10,12,5,8,3,11,2,1]=>[1,2,11,3,8,5,12,10,7,4,9,6]
[5,8,3,6,9,12,4,7,2,11,1,10]=>[10,1,11,2,7,4,12,9,6,3,8,5]
[4,9,2,5,10,12,3,8,1,11,7,6]=>[6,7,11,1,8,3,12,10,5,2,9,4]
[4,8,2,5,9,12,3,7,1,11,6,10]=>[10,6,11,1,7,3,12,9,5,2,8,4]
[9,3,7,10,4,12,8,2,6,11,1,5]=>[5,1,11,6,2,8,12,4,10,7,3,9]
[4,9,7,5,10,12,3,8,6,11,2,1]=>[1,2,11,6,8,3,12,10,5,7,9,4]
[3,8,6,4,9,12,2,7,5,11,1,10]=>[10,1,11,5,7,2,12,9,4,6,8,3]
[9,5,3,10,6,12,8,4,2,11,7,1]=>[1,7,11,2,4,8,12,6,10,3,5,9]
[9,5,2,10,6,12,8,4,1,11,7,3]=>[3,7,11,1,4,8,12,6,10,2,5,9]
[8,11,6,9,2,12,7,10,5,1,4,3]=>[3,4,1,5,10,7,12,2,9,6,11,8]
[8,11,6,9,3,12,7,10,5,2,4,1]=>[1,4,2,5,10,7,12,3,9,6,11,8]
[4,11,2,5,7,12,3,10,1,6,9,8]=>[8,9,6,1,10,3,12,7,5,2,11,4]
[4,11,2,5,8,12,3,10,1,7,9,6]=>[6,9,7,1,10,3,12,8,5,2,11,4]
[5,11,3,6,8,12,4,10,2,7,9,1]=>[1,9,7,2,10,4,12,8,6,3,11,5]
[6,11,9,7,2,12,5,10,8,1,4,3]=>[3,4,1,8,10,5,12,2,7,9,11,6]
[6,11,9,7,3,12,5,10,8,2,4,1]=>[1,4,2,8,10,5,12,3,7,9,11,6]
[3,11,9,4,6,12,2,10,8,5,1,7]=>[7,1,5,8,10,2,12,6,4,9,11,3]
[5,11,2,6,8,12,4,10,1,7,3,9]=>[9,3,7,1,10,4,12,8,6,2,11,5]
[6,4,2,7,9,12,5,3,1,8,11,10]=>[10,11,8,1,3,5,12,9,7,2,4,6]
[6,4,2,7,10,12,5,3,1,9,11,8]=>[8,11,9,1,3,5,12,10,7,2,4,6]
[7,5,3,8,10,12,6,4,2,9,11,1]=>[1,11,9,2,4,6,12,10,8,3,5,7]
[7,5,2,8,10,12,6,4,1,9,11,3]=>[3,11,9,1,4,6,12,10,8,2,5,7]
[7,2,4,8,10,12,6,1,3,9,11,5]=>[5,11,9,3,1,6,12,10,8,4,2,7]
[6,11,4,9,7,12,5,10,3,8,2,1]=>[1,2,8,3,10,5,12,7,9,4,11,6]
[5,11,3,9,6,12,4,10,2,8,1,7]=>[7,1,8,2,10,4,12,6,9,3,11,5]
[6,11,4,2,7,12,5,10,3,1,9,8]=>[8,9,1,3,10,5,12,7,2,4,11,6]
[7,11,5,3,8,12,6,10,4,2,9,1]=>[1,9,2,4,10,6,12,8,3,5,11,7]
[7,11,5,2,8,12,6,10,4,1,9,3]=>[3,9,1,4,10,6,12,8,2,5,11,7]
[4,11,9,7,5,12,3,10,8,6,2,1]=>[1,2,6,8,10,3,12,5,7,9,11,4]
[3,11,9,7,4,12,2,10,8,6,1,5]=>[5,1,6,8,10,2,12,4,7,9,11,3]
[5,11,9,2,6,12,4,10,8,1,3,7]=>[7,3,1,8,10,4,12,6,2,9,11,5]
[7,11,2,4,8,12,6,10,1,3,5,9]=>[9,5,3,1,10,6,12,8,4,2,11,7]
[8,6,4,2,9,12,7,5,3,1,11,10]=>[10,11,1,3,5,7,12,9,2,4,6,8]
[9,7,5,3,10,12,8,6,4,2,11,1]=>[1,11,2,4,6,8,12,10,3,5,7,9]
[9,7,5,2,10,12,8,6,4,1,11,3]=>[3,11,1,4,6,8,12,10,2,5,7,9]
[9,7,2,4,10,12,8,6,1,3,11,5]=>[5,11,3,1,6,8,12,10,4,2,7,9]
[9,2,4,6,10,12,8,1,3,5,11,7]=>[7,11,5,3,1,8,12,10,6,4,2,9]
[11,9,7,5,3,12,10,8,6,4,2,1]=>[1,2,4,6,8,10,12,3,5,7,9,11]
[11,9,7,5,2,12,10,8,6,4,1,3]=>[3,1,4,6,8,10,12,2,5,7,9,11]
[11,9,7,2,4,12,10,8,6,1,3,5]=>[5,3,1,6,8,10,12,4,2,7,9,11]
[11,9,2,4,6,12,10,8,1,3,5,7]=>[7,5,3,1,8,10,12,6,4,2,9,11]
[11,2,4,6,8,12,10,1,3,5,7,9]=>[9,7,5,3,1,10,12,8,6,4,2,11]
[8,5,7,6,12,3,11,4,10,1,9,2]=>[2,9,1,10,4,11,3,12,6,7,5,8]
[10,5,9,6,8,3,7,4,12,1,11,2]=>[2,11,1,12,4,7,3,8,6,9,5,10]
[12,5,9,6,8,3,11,4,10,1,7,2]=>[2,7,1,10,4,11,3,8,6,9,5,12]
[12,5,11,6,10,3,9,4,8,1,7,2]=>[2,7,1,8,4,9,3,10,6,11,5,12]
[5,6,7,8,10,3,9,4,12,1,11,2]=>[2,11,1,12,4,9,3,10,8,7,6,5]
[5,6,7,8,12,3,11,4,10,1,9,2]=>[2,9,1,10,4,11,3,12,8,7,6,5]
[6,7,10,3,9,8,5,4,12,1,11,2]=>[2,11,1,12,4,5,8,9,3,10,7,6]
[6,7,12,3,9,8,4,11,1,10,5,2]=>[2,5,10,1,11,4,8,9,3,12,7,6]
[6,7,12,3,11,4,10,1,9,8,5,2]=>[2,5,8,9,1,10,4,11,3,12,7,6]
[10,3,9,8,7,6,5,4,12,1,11,2]=>[2,11,1,12,4,5,6,7,8,9,3,10]
[12,3,9,8,7,6,4,11,1,10,5,2]=>[2,5,10,1,11,4,6,7,8,9,3,12]
[12,3,11,8,7,4,10,1,9,6,5,2]=>[2,5,6,9,1,10,4,7,8,11,3,12]
[12,3,11,4,10,1,9,8,7,6,5,2]=>[2,5,6,7,8,9,1,10,4,11,3,12]
[8,3,7,4,10,5,9,6,12,1,11,2]=>[2,11,1,12,6,9,5,10,4,7,3,8]
[8,3,7,4,12,5,11,6,10,1,9,2]=>[2,9,1,10,6,11,5,12,4,7,3,8]
[10,3,9,4,8,5,7,6,12,1,11,2]=>[2,11,1,12,6,7,5,8,4,9,3,10]
[12,3,9,4,8,5,11,6,10,1,7,2]=>[2,7,1,10,6,11,5,8,4,9,3,12]
[12,3,11,4,10,5,9,6,8,1,7,2]=>[2,7,1,8,6,9,5,10,4,11,3,12]
[6,7,10,3,9,4,5,8,12,1,11,2]=>[2,11,1,12,8,5,4,9,3,10,7,6]
[6,7,12,3,11,4,5,8,10,1,9,2]=>[2,9,1,10,8,5,4,11,3,12,7,6]
[3,6,7,9,4,8,5,10,12,1,11,2]=>[2,11,1,12,10,5,8,4,9,7,6,3]
[6,7,9,4,8,5,12,1,11,10,3,2]=>[2,3,10,11,1,12,5,8,4,9,7,6]
[6,7,12,4,11,10,5,9,1,8,3,2]=>[2,3,8,1,9,5,10,11,4,12,7,6]
[3,9,4,8,7,6,5,10,12,1,11,2]=>[2,11,1,12,10,5,6,7,8,4,9,3]
[9,4,8,7,6,5,12,1,11,10,3,2]=>[2,3,10,11,1,12,5,6,7,8,4,9]
[12,4,8,7,5,11,10,1,9,6,3,2]=>[2,3,6,9,1,10,11,5,7,8,4,12]
[12,4,11,10,5,9,1,8,7,6,3,2]=>[2,3,6,7,8,1,9,5,10,11,4,12]
[10,3,9,4,5,6,7,8,12,1,11,2]=>[2,11,1,12,8,7,6,5,4,9,3,10]
[12,3,11,4,5,6,7,8,10,1,9,2]=>[2,9,1,10,8,7,6,5,4,11,3,12]
[3,9,4,8,5,6,7,10,12,1,11,2]=>[2,11,1,12,10,7,6,5,8,4,9,3]
[9,4,8,5,6,7,12,1,11,10,3,2]=>[2,3,10,11,1,12,7,6,5,8,4,9]
[12,4,11,10,5,6,7,9,1,8,3,2]=>[2,3,8,1,9,7,6,5,10,11,4,12]
[3,4,8,5,7,6,9,10,12,1,11,2]=>[2,11,1,12,10,9,6,7,5,8,4,3]
[4,8,5,7,6,9,12,1,11,10,3,2]=>[2,3,10,11,1,12,9,6,7,5,8,4]
[8,5,7,6,12,1,11,10,9,4,3,2]=>[2,3,4,9,10,11,1,12,6,7,5,8]
[12,5,11,10,9,6,8,1,7,4,3,2]=>[2,3,4,7,1,8,6,9,10,11,5,12]
[4,5,6,7,8,9,12,1,11,10,3,2]=>[2,3,10,11,1,12,9,8,7,6,5,4]
[5,6,7,8,12,1,11,10,9,4,3,2]=>[2,3,4,9,10,11,1,12,8,7,6,5]
[6,7,12,1,11,10,9,8,5,4,3,2]=>[2,3,4,5,8,9,10,11,1,12,7,6]
[8,5,7,6,10,1,9,2,12,3,11,4]=>[4,11,3,12,2,9,1,10,6,7,5,8]
[8,5,7,6,12,1,11,2,10,3,9,4]=>[4,9,3,10,2,11,1,12,6,7,5,8]
[10,5,9,6,8,1,7,2,12,3,11,4]=>[4,11,3,12,2,7,1,8,6,9,5,10]
[12,5,9,6,8,1,11,2,10,3,7,4]=>[4,7,3,10,2,11,1,8,6,9,5,12]
[12,5,11,6,10,1,9,2,8,3,7,4]=>[4,7,3,8,2,9,1,10,6,11,5,12]
[5,6,7,8,10,1,9,2,12,3,11,4]=>[4,11,3,12,2,9,1,10,8,7,6,5]
[5,6,7,8,12,1,11,2,10,3,9,4]=>[4,9,3,10,2,11,1,12,8,7,6,5]
[6,7,10,1,9,8,5,2,12,3,11,4]=>[4,11,3,12,2,5,8,9,1,10,7,6]
[6,7,12,1,9,8,2,11,3,10,5,4]=>[4,5,10,3,11,2,8,9,1,12,7,6]
[6,7,12,1,11,2,10,3,9,8,5,4]=>[4,5,8,9,3,10,2,11,1,12,7,6]
[10,1,9,8,7,6,5,2,12,3,11,4]=>[4,11,3,12,2,5,6,7,8,9,1,10]
[12,1,9,8,7,6,2,11,3,10,5,4]=>[4,5,10,3,11,2,6,7,8,9,1,12]
[12,1,11,8,7,2,10,3,9,6,5,4]=>[4,5,6,9,3,10,2,7,8,11,1,12]
[8,1,7,4,10,5,9,2,12,3,11,6]=>[6,11,3,12,2,9,5,10,4,7,1,8]
[8,1,7,4,12,5,11,2,10,3,9,6]=>[6,9,3,10,2,11,5,12,4,7,1,8]
[10,1,9,4,8,5,7,2,12,3,11,6]=>[6,11,3,12,2,7,5,8,4,9,1,10]
[12,1,9,4,8,5,11,2,10,3,7,6]=>[6,7,3,10,2,11,5,8,4,9,1,12]
[12,1,11,4,10,5,9,2,8,3,7,6]=>[6,7,3,8,2,9,5,10,4,11,1,12]
[6,7,10,1,9,4,5,12,2,11,3,8]=>[8,3,11,2,12,5,4,9,1,10,7,6]
[6,7,12,1,11,4,5,10,2,9,3,8]=>[8,3,9,2,10,5,4,11,1,12,7,6]
[6,7,9,4,8,5,12,1,11,2,3,10]=>[10,3,2,11,1,12,5,8,4,9,7,6]
[1,6,7,9,4,8,5,11,2,10,3,12]=>[12,3,10,2,11,5,8,4,9,7,6,1]
[1,6,7,11,4,10,5,9,2,8,3,12]=>[12,3,8,2,9,5,10,4,11,7,6,1]
[9,4,8,7,6,5,12,1,11,2,3,10]=>[10,3,2,11,1,12,5,6,7,8,4,9]
[1,9,4,8,7,6,5,11,2,10,3,12]=>[12,3,10,2,11,5,6,7,8,4,9,1]
[1,11,4,8,7,5,10,2,9,6,3,12]=>[12,3,6,9,2,10,5,7,8,4,11,1]
[1,11,4,10,5,9,2,8,7,6,3,12]=>[12,3,6,7,8,2,9,5,10,4,11,1]
[10,1,9,4,5,6,7,12,2,11,3,8]=>[8,3,11,2,12,7,6,5,4,9,1,10]
[12,1,11,4,5,6,7,10,2,9,3,8]=>[8,3,9,2,10,7,6,5,4,11,1,12]
[9,4,8,5,6,7,12,1,11,2,3,10]=>[10,3,2,11,1,12,7,6,5,8,4,9]
[1,9,4,8,5,6,7,11,2,10,3,12]=>[12,3,10,2,11,7,6,5,8,4,9,1]
[1,11,4,10,5,6,7,9,2,8,3,12]=>[12,3,8,2,9,7,6,5,10,4,11,1]
[4,8,5,7,6,9,12,1,11,2,3,10]=>[10,3,2,11,1,12,9,6,7,5,8,4]
[1,4,8,5,7,6,9,11,2,10,3,12]=>[12,3,10,2,11,9,6,7,5,8,4,1]
[1,8,5,7,6,11,2,10,9,4,3,12]=>[12,3,4,9,10,2,11,6,7,5,8,1]
[1,11,5,10,9,6,8,2,7,4,3,12]=>[12,3,4,7,2,8,6,9,10,5,11,1]
[4,5,6,7,8,9,12,1,11,2,3,10]=>[10,3,2,11,1,12,9,8,7,6,5,4]
[1,4,5,6,7,8,9,11,2,10,3,12]=>[12,3,10,2,11,9,8,7,6,5,4,1]
[1,5,6,7,8,11,2,10,9,4,3,12]=>[12,3,4,9,10,2,11,8,7,6,5,1]
[1,6,7,11,2,10,9,8,5,4,3,12]=>[12,3,4,5,8,9,10,2,11,7,6,1]
[1,11,2,10,9,8,7,6,5,4,3,12]=>[12,3,4,5,6,7,8,9,10,2,11,1]
[8,1,7,2,10,3,9,4,12,5,11,6]=>[6,11,5,12,4,9,3,10,2,7,1,8]
[8,1,7,2,12,3,11,4,10,5,9,6]=>[6,9,5,10,4,11,3,12,2,7,1,8]
[10,1,9,2,8,3,7,4,12,5,11,6]=>[6,11,5,12,4,7,3,8,2,9,1,10]
[12,1,9,2,8,3,11,4,10,5,7,6]=>[6,7,5,10,4,11,3,8,2,9,1,12]
[6,7,10,1,9,2,12,3,11,4,5,8]=>[8,5,4,11,3,12,2,9,1,10,7,6]
[6,7,12,1,11,2,10,3,9,4,5,8]=>[8,5,4,9,3,10,2,11,1,12,7,6]
[6,7,9,1,8,2,3,12,4,11,5,10]=>[10,5,11,4,12,3,2,8,1,9,7,6]
[1,6,7,9,2,8,3,11,4,10,5,12]=>[12,5,10,4,11,3,8,2,9,7,6,1]
[1,6,7,11,2,10,3,9,4,8,5,12]=>[12,5,8,4,9,3,10,2,11,7,6,1]
[9,1,8,7,6,2,3,12,4,11,5,10]=>[10,5,11,4,12,3,2,6,7,8,1,9]
[1,9,2,8,7,6,3,11,4,10,5,12]=>[12,5,10,4,11,3,6,7,8,2,9,1]
[1,11,2,8,7,3,10,4,9,6,5,12]=>[12,5,6,9,4,10,3,7,8,2,11,1]
[1,11,2,10,3,9,4,8,7,6,5,12]=>[12,5,6,7,8,4,9,3,10,2,11,1]
[10,1,9,2,5,6,12,3,11,4,7,8]=>[8,7,4,11,3,12,6,5,2,9,1,10]
[12,1,11,2,5,6,10,3,9,4,7,8]=>[8,7,4,9,3,10,6,5,2,11,1,12]
[9,1,8,5,6,12,2,3,11,4,7,10]=>[10,7,4,11,3,2,12,6,5,8,1,9]
[1,9,2,8,5,6,11,3,10,4,7,12]=>[12,7,4,10,3,11,6,5,8,2,9,1]
[1,11,2,10,5,6,9,3,8,4,7,12]=>[12,7,4,8,3,9,6,5,10,2,11,1]
[8,5,7,6,12,1,11,2,3,4,9,10]=>[10,9,4,3,2,11,1,12,6,7,5,8]
[1,8,5,7,6,11,2,10,3,4,9,12]=>[12,9,4,3,10,2,11,6,7,5,8,1]
[1,2,8,5,7,6,10,3,9,4,11,12]=>[12,11,4,9,3,10,6,7,5,8,2,1]
[1,2,10,5,9,6,8,3,7,4,11,12]=>[12,11,4,7,3,8,6,9,5,10,2,1]
[5,6,7,8,12,1,11,2,3,4,9,10]=>[10,9,4,3,2,11,1,12,8,7,6,5]
[1,5,6,7,8,11,2,10,3,4,9,12]=>[12,9,4,3,10,2,11,8,7,6,5,1]
[1,2,5,6,7,8,10,3,9,4,11,12]=>[12,11,4,9,3,10,8,7,6,5,2,1]
[1,2,6,7,10,3,9,8,5,4,11,12]=>[12,11,4,5,8,9,3,10,7,6,2,1]
[1,2,10,3,9,8,7,6,5,4,11,12]=>[12,11,4,5,6,7,8,9,3,10,2,1]
[10,1,9,2,12,3,11,4,5,6,7,8]=>[8,7,6,5,4,11,3,12,2,9,1,10]
[12,1,11,2,10,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,10,2,11,1,12]
[9,1,8,2,3,12,4,11,5,6,7,10]=>[10,7,6,5,11,4,12,3,2,8,1,9]
[1,9,2,8,3,11,4,10,5,6,7,12]=>[12,7,6,5,10,4,11,3,8,2,9,1]
[1,11,2,10,3,9,4,8,5,6,7,12]=>[12,7,6,5,8,4,9,3,10,2,11,1]
[8,1,7,2,3,4,12,5,11,6,9,10]=>[10,9,6,11,5,12,4,3,2,7,1,8]
[1,8,2,7,3,4,11,5,10,6,9,12]=>[12,9,6,10,5,11,4,3,7,2,8,1]
[1,2,8,3,7,4,10,5,9,6,11,12]=>[12,11,6,9,5,10,4,7,3,8,2,1]
[1,2,10,3,9,4,8,5,7,6,11,12]=>[12,11,6,7,5,8,4,9,3,10,2,1]
[6,7,12,1,11,2,3,4,5,8,9,10]=>[10,9,8,5,4,3,2,11,1,12,7,6]
[1,6,7,11,2,10,3,4,5,8,9,12]=>[12,9,8,5,4,3,10,2,11,7,6,1]
[1,2,6,7,10,3,9,4,5,8,11,12]=>[12,11,8,5,4,9,3,10,7,6,2,1]
[1,2,3,6,7,9,4,8,5,10,11,12]=>[12,11,10,5,8,4,9,7,6,3,2,1]
[1,2,3,9,4,8,7,6,5,10,11,12]=>[12,11,10,5,6,7,8,4,9,3,2,1]
[12,1,11,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,11,1,12]
[1,11,2,10,3,4,5,6,7,8,9,12]=>[12,9,8,7,6,5,4,3,10,2,11,1]
[1,2,10,3,9,4,5,6,7,8,11,12]=>[12,11,8,7,6,5,4,9,3,10,2,1]
[1,2,3,9,4,8,5,6,7,10,11,12]=>[12,11,10,7,6,5,8,4,9,3,2,1]
[2,1,4,3,6,5,10,11,9,12,8,7]=>[7,8,12,9,11,10,5,6,3,4,1,2]
[2,1,4,3,8,9,7,10,6,5,12,11]=>[11,12,5,6,10,7,9,8,3,4,1,2]
[2,1,4,3,10,9,7,11,6,12,8,5]=>[5,8,12,6,11,7,9,10,3,4,1,2]
[2,1,4,3,8,10,7,9,12,6,11,5]=>[5,11,6,12,9,7,10,8,3,4,1,2]
[2,1,4,3,10,7,11,8,9,12,6,5]=>[5,6,12,9,8,11,7,10,3,4,1,2]
[2,1,4,3,6,9,11,8,12,10,7,5]=>[5,7,10,12,8,11,9,6,3,4,1,2]
[2,1,4,6,5,3,10,11,9,12,8,7]=>[7,8,12,9,11,10,3,5,6,4,1,2]
[2,1,6,7,5,8,4,3,10,9,12,11]=>[11,12,9,10,3,4,8,5,7,6,1,2]
[2,1,6,7,5,8,4,3,10,12,11,9]=>[9,11,12,10,3,4,8,5,7,6,1,2]
[2,1,8,7,5,9,4,10,6,3,12,11]=>[11,12,3,6,10,4,9,5,7,8,1,2]
[2,1,10,7,5,9,4,11,6,12,8,3]=>[3,8,12,6,11,4,9,5,7,10,1,2]
[2,1,8,7,5,10,4,9,12,6,11,3]=>[3,11,6,12,9,4,10,5,7,8,1,2]
[2,1,6,8,5,7,10,4,9,3,12,11]=>[11,12,3,9,4,10,7,5,8,6,1,2]
[2,1,10,8,5,7,11,4,9,12,6,3]=>[3,6,12,9,4,11,7,5,8,10,1,2]
[2,1,6,8,5,9,11,4,12,10,7,3]=>[3,7,10,12,4,11,9,5,8,6,1,2]
[2,1,6,9,5,7,8,12,4,10,11,3]=>[3,11,10,4,12,8,7,5,9,6,1,2]
[2,1,8,5,9,6,7,10,4,3,12,11]=>[11,12,3,4,10,7,6,9,5,8,1,2]
[2,1,10,5,9,6,7,11,4,12,8,3]=>[3,8,12,4,11,7,6,9,5,10,1,2]
[2,1,8,5,10,6,7,9,12,4,11,3]=>[3,11,4,12,9,7,6,10,5,8,1,2]
[2,1,4,7,9,6,10,8,5,3,12,11]=>[11,12,3,5,8,10,6,9,7,4,1,2]
[2,1,10,7,9,6,11,8,5,12,4,3]=>[3,4,12,5,8,11,6,9,7,10,1,2]
[2,1,4,9,10,6,11,8,12,5,7,3]=>[3,7,5,12,8,11,6,10,9,4,1,2]
[2,1,4,7,10,6,8,12,9,5,11,3]=>[3,11,5,9,12,8,6,10,7,4,1,2]
[2,1,10,5,6,11,7,8,9,12,4,3]=>[3,4,12,9,8,7,11,6,5,10,1,2]
[2,1,4,9,6,11,7,8,12,10,5,3]=>[3,5,10,12,8,7,11,6,9,4,1,2]
[2,1,4,5,8,11,7,12,9,10,6,3]=>[3,6,10,9,12,7,11,8,5,4,1,2]
[2,4,3,1,6,5,10,11,9,12,8,7]=>[7,8,12,9,11,10,5,6,1,3,4,2]
[2,4,3,1,8,9,7,10,6,5,12,11]=>[11,12,5,6,10,7,9,8,1,3,4,2]
[2,4,3,1,10,9,7,11,6,12,8,5]=>[5,8,12,6,11,7,9,10,1,3,4,2]
[2,4,3,1,8,10,7,9,12,6,11,5]=>[5,11,6,12,9,7,10,8,1,3,4,2]
[2,4,3,1,10,7,11,8,9,12,6,5]=>[5,6,12,9,8,11,7,10,1,3,4,2]
[2,4,3,1,6,9,11,8,12,10,7,5]=>[5,7,10,12,8,11,9,6,1,3,4,2]
[4,5,3,6,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,6,3,5,4]
[4,5,3,6,2,1,8,7,10,12,11,9]=>[9,11,12,10,7,8,1,2,6,3,5,4]
[4,5,3,6,2,1,8,10,9,7,12,11]=>[11,12,7,9,10,8,1,2,6,3,5,4]
[4,5,3,6,2,1,10,11,9,12,8,7]=>[7,8,12,9,11,10,1,2,6,3,5,4]
[4,5,3,6,2,1,8,9,12,10,11,7]=>[7,11,10,12,9,8,1,2,6,3,5,4]
[6,5,3,7,2,8,4,1,10,9,12,11]=>[11,12,9,10,1,4,8,2,7,3,5,6]
[6,5,3,7,2,8,4,1,10,12,11,9]=>[9,11,12,10,1,4,8,2,7,3,5,6]
[8,5,3,7,2,9,4,10,6,1,12,11]=>[11,12,1,6,10,4,9,2,7,3,5,8]
[10,5,3,7,2,9,4,11,6,12,8,1]=>[1,8,12,6,11,4,9,2,7,3,5,10]
[8,5,3,7,2,10,4,9,12,6,11,1]=>[1,11,6,12,9,4,10,2,7,3,5,8]
[6,5,3,8,2,7,10,4,9,1,12,11]=>[11,12,1,9,4,10,7,2,8,3,5,6]
[10,5,3,8,2,7,11,4,9,12,6,1]=>[1,6,12,9,4,11,7,2,8,3,5,10]
[6,5,3,8,2,9,11,4,12,10,7,1]=>[1,7,10,12,4,11,9,2,8,3,5,6]
[6,5,3,9,2,7,8,12,4,10,11,1]=>[1,11,10,4,12,8,7,2,9,3,5,6]
[4,6,3,5,8,2,7,1,10,9,12,11]=>[11,12,9,10,1,7,2,8,5,3,6,4]
[4,6,3,5,8,2,7,1,10,12,11,9]=>[9,11,12,10,1,7,2,8,5,3,6,4]
[8,6,3,5,9,2,7,10,4,1,12,11]=>[11,12,1,4,10,7,2,9,5,3,6,8]
[10,6,3,5,9,2,7,11,4,12,8,1]=>[1,8,12,4,11,7,2,9,5,3,6,10]
[8,6,3,5,10,2,7,9,12,4,11,1]=>[1,11,4,12,9,7,2,10,5,3,6,8]
[4,6,3,7,9,2,10,8,5,1,12,11]=>[11,12,1,5,8,10,2,9,7,3,6,4]
[10,6,3,7,9,2,11,8,5,12,4,1]=>[1,4,12,5,8,11,2,9,7,3,6,10]
[4,6,3,9,10,2,11,8,12,5,7,1]=>[1,7,5,12,8,11,2,10,9,3,6,4]
[4,6,3,7,10,2,8,12,9,5,11,1]=>[1,11,5,9,12,8,2,10,7,3,6,4]
[4,7,3,5,6,10,2,8,9,1,12,11]=>[11,12,1,9,8,2,10,6,5,3,7,4]
[10,7,3,5,6,11,2,8,9,12,4,1]=>[1,4,12,9,8,2,11,6,5,3,7,10]
[4,7,3,9,6,11,2,8,12,10,5,1]=>[1,5,10,12,8,2,11,6,9,3,7,4]
[4,7,3,5,8,11,2,12,9,10,6,1]=>[1,6,10,9,12,2,11,8,5,3,7,4]
[4,8,3,5,6,7,12,2,9,10,11,1]=>[1,11,10,9,2,12,7,6,5,3,8,4]
[2,3,6,4,5,1,10,11,9,12,8,7]=>[7,8,12,9,11,10,1,5,4,6,3,2]
[6,3,7,4,5,8,2,1,10,9,12,11]=>[11,12,9,10,1,2,8,5,4,7,3,6]
[6,3,7,4,5,8,2,1,10,12,11,9]=>[9,11,12,10,1,2,8,5,4,7,3,6]
[8,3,7,4,5,9,2,10,6,1,12,11]=>[11,12,1,6,10,2,9,5,4,7,3,8]
[10,3,7,4,5,9,2,11,6,12,8,1]=>[1,8,12,6,11,2,9,5,4,7,3,10]
[8,3,7,4,5,10,2,9,12,6,11,1]=>[1,11,6,12,9,2,10,5,4,7,3,8]
[6,3,8,4,5,7,10,2,9,1,12,11]=>[11,12,1,9,2,10,7,5,4,8,3,6]
[10,3,8,4,5,7,11,2,9,12,6,1]=>[1,6,12,9,2,11,7,5,4,8,3,10]
[6,3,8,4,5,9,11,2,12,10,7,1]=>[1,7,10,12,2,11,9,5,4,8,3,6]
[6,3,9,4,5,7,8,12,2,10,11,1]=>[1,11,10,2,12,8,7,5,4,9,3,6]
[2,5,7,4,8,6,3,1,10,9,12,11]=>[11,12,9,10,1,3,6,8,4,7,5,2]
[2,5,7,4,8,6,3,1,10,12,11,9]=>[9,11,12,10,1,3,6,8,4,7,5,2]
[8,5,7,4,9,6,3,10,2,1,12,11]=>[11,12,1,2,10,3,6,9,4,7,5,8]
[10,5,7,4,9,6,3,11,2,12,8,1]=>[1,8,12,2,11,3,6,9,4,7,5,10]
[8,5,7,4,10,6,3,9,12,2,11,1]=>[1,11,2,12,9,3,6,10,4,7,5,8]
[2,7,8,4,9,6,10,3,5,1,12,11]=>[11,12,1,5,3,10,6,9,4,8,7,2]
[10,7,8,4,9,6,11,3,5,12,2,1]=>[1,2,12,5,3,11,6,9,4,8,7,10]
[2,9,8,4,10,6,11,3,12,5,7,1]=>[1,7,5,12,3,11,6,10,4,8,9,2]
[2,7,9,4,10,6,8,12,3,5,11,1]=>[1,11,5,3,12,8,6,10,4,9,7,2]
[2,5,8,4,6,10,7,3,9,1,12,11]=>[11,12,1,9,3,7,10,6,4,8,5,2]
[10,5,8,4,6,11,7,3,9,12,2,1]=>[1,2,12,9,3,7,11,6,4,8,5,10]
[2,9,8,4,6,11,7,3,12,10,5,1]=>[1,5,10,12,3,7,11,6,4,8,9,2]
[2,5,9,4,8,11,7,12,3,10,6,1]=>[1,6,10,3,12,7,11,8,4,9,5,2]
[2,5,9,4,6,7,12,8,3,10,11,1]=>[1,11,10,3,8,12,7,6,4,9,5,2]
[8,3,4,9,5,6,7,10,2,1,12,11]=>[11,12,1,2,10,7,6,5,9,4,3,8]
[10,3,4,9,5,6,7,11,2,12,8,1]=>[1,8,12,2,11,7,6,5,9,4,3,10]
[8,3,4,10,5,6,7,9,12,2,11,1]=>[1,11,2,12,9,7,6,5,10,4,3,8]
[2,7,4,9,5,6,10,8,3,1,12,11]=>[11,12,1,3,8,10,6,5,9,4,7,2]
[10,7,4,9,5,6,11,8,3,12,2,1]=>[1,2,12,3,8,11,6,5,9,4,7,10]
[2,9,4,10,5,6,11,8,12,3,7,1]=>[1,7,3,12,8,11,6,5,10,4,9,2]
[2,7,4,10,5,6,8,12,9,3,11,1]=>[1,11,3,9,12,8,6,5,10,4,7,2]
[2,3,6,9,5,10,7,8,4,1,12,11]=>[11,12,1,4,8,7,10,5,9,6,3,2]
[10,3,6,9,5,11,7,8,4,12,2,1]=>[1,2,12,4,8,7,11,5,9,6,3,10]
[2,9,6,10,5,11,7,8,12,4,3,1]=>[1,3,4,12,8,7,11,5,10,6,9,2]
[2,3,8,10,5,11,7,12,9,4,6,1]=>[1,6,4,9,12,7,11,5,10,8,3,2]
[2,3,6,10,5,7,12,8,9,4,11,1]=>[1,11,4,9,8,12,7,5,10,6,3,2]
[10,3,4,5,11,6,7,8,9,12,2,1]=>[1,2,12,9,8,7,6,11,5,4,3,10]
[2,9,4,5,11,6,7,8,12,10,3,1]=>[1,3,10,12,8,7,6,11,5,4,9,2]
[2,3,8,5,11,6,7,12,9,10,4,1]=>[1,4,10,9,12,7,6,11,5,8,3,2]
[2,3,4,7,11,6,12,8,9,10,5,1]=>[1,5,10,9,8,12,6,11,7,4,3,2]
[12,1,11,2,10,3,9,4,6,7,8,5]=>[5,8,7,6,4,9,3,10,2,11,1,12]
[12,1,11,2,10,3,7,8,9,4,6,5]=>[5,6,4,9,8,7,3,10,2,11,1,12]
[12,1,11,2,10,3,5,8,9,6,7,4]=>[4,7,6,9,8,5,3,10,2,11,1,12]
[12,1,11,2,10,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,10,2,11,1,12]
[12,1,11,2,8,9,10,3,7,4,6,5]=>[5,6,4,7,3,10,9,8,2,11,1,12]
[12,1,11,2,8,9,10,3,5,6,7,4]=>[4,7,6,5,3,10,9,8,2,11,1,12]
[12,1,11,2,6,9,10,7,8,3,5,4]=>[4,5,3,8,7,10,9,6,2,11,1,12]
[12,1,11,2,4,9,10,7,8,5,6,3]=>[3,6,5,8,7,10,9,4,2,11,1,12]
[12,1,11,2,4,9,10,5,6,7,8,3]=>[3,8,7,6,5,10,9,4,2,11,1,12]
[12,1,11,2,6,7,8,9,10,3,5,4]=>[4,5,3,10,9,8,7,6,2,11,1,12]
[12,1,11,2,4,7,8,9,10,5,6,3]=>[3,6,5,10,9,8,7,4,2,11,1,12]
[12,1,11,2,4,5,8,9,6,7,10,3]=>[3,10,7,6,9,8,5,4,2,11,1,12]
[12,1,11,2,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,2,11,1,12]
[12,1,9,10,11,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,11,10,9,1,12]
[12,1,9,10,11,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,11,10,9,1,12]
[12,1,9,10,11,2,6,7,8,3,5,4]=>[4,5,3,8,7,6,2,11,10,9,1,12]
[12,1,9,10,11,2,4,7,8,5,6,3]=>[3,6,5,8,7,4,2,11,10,9,1,12]
[12,1,9,10,11,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,11,10,9,1,12]
[12,1,7,10,11,8,9,2,6,3,5,4]=>[4,5,3,6,2,9,8,11,10,7,1,12]
[12,1,7,10,11,8,9,2,4,5,6,3]=>[3,6,5,4,2,9,8,11,10,7,1,12]
[12,1,5,10,11,8,9,6,7,2,4,3]=>[3,4,2,7,6,9,8,11,10,5,1,12]
[12,1,3,10,11,8,9,6,7,4,5,2]=>[2,5,4,7,6,9,8,11,10,3,1,12]
[12,1,3,10,11,8,9,4,5,6,7,2]=>[2,7,6,5,4,9,8,11,10,3,1,12]
[12,1,5,10,11,6,7,8,9,2,4,3]=>[3,4,2,9,8,7,6,11,10,5,1,12]
[12,1,3,10,11,6,7,8,9,4,5,2]=>[2,5,4,9,8,7,6,11,10,3,1,12]
[12,1,3,10,11,4,7,8,5,6,9,2]=>[2,9,6,5,8,7,4,11,10,3,1,12]
[12,1,3,10,11,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,11,10,3,1,12]
[12,1,7,8,9,10,11,2,6,3,5,4]=>[4,5,3,6,2,11,10,9,8,7,1,12]
[12,1,7,8,9,10,11,2,4,5,6,3]=>[3,6,5,4,2,11,10,9,8,7,1,12]
[12,1,5,8,9,10,11,6,7,2,4,3]=>[3,4,2,7,6,11,10,9,8,5,1,12]
[12,1,3,8,9,10,11,6,7,4,5,2]=>[2,5,4,7,6,11,10,9,8,3,1,12]
[12,1,3,8,9,10,11,4,5,6,7,2]=>[2,7,6,5,4,11,10,9,8,3,1,12]
[12,1,5,6,9,10,7,8,11,2,4,3]=>[3,4,2,11,8,7,10,9,6,5,1,12]
[12,1,3,6,9,10,7,8,11,4,5,2]=>[2,5,4,11,8,7,10,9,6,3,1,12]
[12,1,3,4,9,10,7,8,5,6,11,2]=>[2,11,6,5,8,7,10,9,4,3,1,12]
[12,1,3,4,9,10,5,6,7,8,11,2]=>[2,11,8,7,6,5,10,9,4,3,1,12]
[12,1,5,6,7,8,9,10,11,2,4,3]=>[3,4,2,11,10,9,8,7,6,5,1,12]
[12,1,3,6,7,8,9,10,11,4,5,2]=>[2,5,4,11,10,9,8,7,6,3,1,12]
[12,1,3,4,7,8,9,10,5,6,11,2]=>[2,11,6,5,10,9,8,7,4,3,1,12]
[12,1,3,4,5,8,9,6,7,10,11,2]=>[2,11,10,7,6,9,8,5,4,3,1,12]
[10,11,12,1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1,12,11,10]
[10,11,12,1,9,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,9,1,12,11,10]
[10,11,12,1,9,2,6,7,8,3,5,4]=>[4,5,3,8,7,6,2,9,1,12,11,10]
[10,11,12,1,9,2,4,7,8,5,6,3]=>[3,6,5,8,7,4,2,9,1,12,11,10]
[10,11,12,1,9,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,9,1,12,11,10]
[10,11,12,1,7,8,9,2,6,3,5,4]=>[4,5,3,6,2,9,8,7,1,12,11,10]
[10,11,12,1,7,8,9,2,4,5,6,3]=>[3,6,5,4,2,9,8,7,1,12,11,10]
[10,11,12,1,5,8,9,6,7,2,4,3]=>[3,4,2,7,6,9,8,5,1,12,11,10]
[10,11,12,1,3,8,9,6,7,4,5,2]=>[2,5,4,7,6,9,8,3,1,12,11,10]
[10,11,12,1,3,8,9,4,5,6,7,2]=>[2,7,6,5,4,9,8,3,1,12,11,10]
[10,11,12,1,5,6,7,8,9,2,4,3]=>[3,4,2,9,8,7,6,5,1,12,11,10]
[10,11,12,1,3,6,7,8,9,4,5,2]=>[2,5,4,9,8,7,6,3,1,12,11,10]
[10,11,12,1,3,4,7,8,5,6,9,2]=>[2,9,6,5,8,7,4,3,1,12,11,10]
[10,11,12,1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1,12,11,10]
[8,11,12,9,10,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,10,9,12,11,8]
[8,11,12,9,10,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,10,9,12,11,8]
[8,11,12,9,10,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,10,9,12,11,8]
[8,11,12,9,10,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,10,9,12,11,8]
[8,11,12,9,10,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,10,9,12,11,8]
[6,11,12,9,10,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,10,9,12,11,6]
[6,11,12,9,10,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,10,9,12,11,6]
[4,11,12,9,10,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,10,9,12,11,4]
[4,11,12,9,10,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,10,9,12,11,4]
[6,11,12,7,8,9,10,1,5,2,4,3]=>[3,4,2,5,1,10,9,8,7,12,11,6]
[6,11,12,7,8,9,10,1,3,4,5,2]=>[2,5,4,3,1,10,9,8,7,12,11,6]
[4,11,12,7,8,9,10,5,6,1,3,2]=>[2,3,1,6,5,10,9,8,7,12,11,4]
[4,11,12,5,8,9,6,7,10,1,3,2]=>[2,3,1,10,7,6,9,8,5,12,11,4]
[4,11,12,5,6,7,8,9,10,1,3,2]=>[2,3,1,10,9,8,7,6,5,12,11,4]
[8,9,10,11,12,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,12,11,10,9,8]
[8,9,10,11,12,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,12,11,10,9,8]
[8,9,10,11,12,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,12,11,10,9,8]
[8,9,10,11,12,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,12,11,10,9,8]
[6,9,10,11,12,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,12,11,10,9,6]
[6,9,10,11,12,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,12,11,10,9,6]
[4,9,10,11,12,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,12,11,10,9,4]
[4,9,10,11,12,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,12,11,10,9,4]
[6,7,10,11,8,9,12,1,5,2,4,3]=>[3,4,2,5,1,12,9,8,11,10,7,6]
[6,7,10,11,8,9,12,1,3,4,5,2]=>[2,5,4,3,1,12,9,8,11,10,7,6]
[4,7,10,11,8,9,12,5,6,1,3,2]=>[2,3,1,6,5,12,9,8,11,10,7,4]
[4,5,10,11,8,9,6,7,12,1,3,2]=>[2,3,1,12,7,6,9,8,11,10,5,4]
[4,5,10,11,6,7,8,9,12,1,3,2]=>[2,3,1,12,9,8,7,6,11,10,5,4]
[6,7,8,9,10,11,12,1,5,2,4,3]=>[3,4,2,5,1,12,11,10,9,8,7,6]
[6,7,8,9,10,11,12,1,3,4,5,2]=>[2,5,4,3,1,12,11,10,9,8,7,6]
[4,7,8,9,10,11,12,5,6,1,3,2]=>[2,3,1,6,5,12,11,10,9,8,7,4]
[4,5,8,9,10,11,6,7,12,1,3,2]=>[2,3,1,12,7,6,11,10,9,8,5,4]
[4,5,6,9,10,7,8,11,12,1,3,2]=>[2,3,1,12,11,8,7,10,9,6,5,4]
[4,5,6,7,8,9,10,11,12,1,3,2]=>[2,3,1,12,11,10,9,8,7,6,5,4]
[6,7,5,8,4,9,3,10,1,12,11,2]=>[2,11,12,1,10,3,9,4,8,5,7,6]
[1,11,12,2,10,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,10,2,12,11,1]
[1,10,2,12,11,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,11,12,2,10,1]
[3,2,5,4,7,6,1,11,9,8,12,10]=>[10,12,8,9,11,1,6,7,4,5,2,3]
[3,2,5,4,7,6,1,8,9,11,12,10]=>[10,12,11,9,8,1,6,7,4,5,2,3]
[3,2,5,4,9,8,6,7,1,10,12,11]=>[11,12,10,1,7,6,8,9,4,5,2,3]
[3,2,5,4,1,9,7,11,8,6,12,10]=>[10,12,6,8,11,7,9,1,4,5,2,3]
[3,2,5,4,1,9,7,6,8,11,12,10]=>[10,12,11,8,6,7,9,1,4,5,2,3]
[3,2,5,4,1,11,10,7,8,6,12,9]=>[9,12,6,8,7,10,11,1,4,5,2,3]
[3,2,5,4,1,6,11,8,7,10,12,9]=>[9,12,10,7,8,11,6,1,4,5,2,3]
[3,2,5,4,1,6,7,8,10,11,12,9]=>[9,12,11,10,8,7,6,1,4,5,2,3]
[3,2,7,6,4,5,9,8,1,10,12,11]=>[11,12,10,1,8,9,5,4,6,7,2,3]
[3,2,7,6,4,5,1,11,9,8,12,10]=>[10,12,8,9,11,1,5,4,6,7,2,3]
[3,2,7,6,4,5,1,8,9,11,12,10]=>[10,12,11,9,8,1,5,4,6,7,2,3]
[3,2,9,6,4,8,5,7,1,10,12,11]=>[11,12,10,1,7,5,8,4,6,9,2,3]
[3,2,1,7,5,9,6,11,8,4,12,10]=>[10,12,4,8,11,6,9,5,7,1,2,3]
[3,2,1,7,5,9,6,4,8,11,12,10]=>[10,12,11,8,4,6,9,5,7,1,2,3]
[3,2,1,7,5,11,10,6,8,4,12,9]=>[9,12,4,8,6,10,11,5,7,1,2,3]
[3,2,1,7,5,4,11,8,6,10,12,9]=>[9,12,10,6,8,11,4,5,7,1,2,3]
[3,2,1,7,5,4,6,8,10,11,12,9]=>[9,12,11,10,8,6,4,5,7,1,2,3]
[3,2,9,8,7,4,5,6,1,10,12,11]=>[11,12,10,1,6,5,4,7,8,9,2,3]
[3,2,1,9,8,5,6,11,7,4,12,10]=>[10,12,4,7,11,6,5,8,9,1,2,3]
[3,2,1,9,8,5,6,4,7,11,12,10]=>[10,12,11,7,4,6,5,8,9,1,2,3]
[3,2,1,11,8,5,10,6,7,4,12,9]=>[9,12,4,7,6,10,5,8,11,1,2,3]
[3,2,1,4,9,6,11,7,5,10,12,8]=>[8,12,10,5,7,11,6,9,4,1,2,3]
[3,2,1,4,9,6,5,7,10,11,12,8]=>[8,12,11,10,7,5,6,9,4,1,2,3]
[3,2,1,11,10,9,5,6,7,4,12,8]=>[8,12,4,7,6,5,9,10,11,1,2,3]
[3,2,1,4,11,10,6,7,5,9,12,8]=>[8,12,9,5,7,6,10,11,4,1,2,3]
[3,2,1,4,5,11,7,6,9,10,12,8]=>[8,12,10,9,6,7,11,5,4,1,2,3]
[3,2,1,4,5,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,5,4,1,2,3]
[5,4,2,3,7,6,9,8,1,10,12,11]=>[11,12,10,1,8,9,6,7,3,2,4,5]
[5,4,2,3,7,6,1,11,9,8,12,10]=>[10,12,8,9,11,1,6,7,3,2,4,5]
[5,4,2,3,7,6,1,8,9,11,12,10]=>[10,12,11,9,8,1,6,7,3,2,4,5]
[5,4,2,3,9,8,6,7,1,10,12,11]=>[11,12,10,1,7,6,8,9,3,2,4,5]
[5,4,2,3,1,9,7,11,8,6,12,10]=>[10,12,6,8,11,7,9,1,3,2,4,5]
[5,4,2,3,1,9,7,6,8,11,12,10]=>[10,12,11,8,6,7,9,1,3,2,4,5]
[5,4,2,3,1,11,10,7,8,6,12,9]=>[9,12,6,8,7,10,11,1,3,2,4,5]
[5,4,2,3,1,6,11,8,7,10,12,9]=>[9,12,10,7,8,11,6,1,3,2,4,5]
[5,4,2,3,1,6,7,8,10,11,12,9]=>[9,12,11,10,8,7,6,1,3,2,4,5]
[7,4,2,6,3,5,9,8,1,10,12,11]=>[11,12,10,1,8,9,5,3,6,2,4,7]
[7,4,2,6,3,5,1,11,9,8,12,10]=>[10,12,8,9,11,1,5,3,6,2,4,7]
[7,4,2,6,3,5,1,8,9,11,12,10]=>[10,12,11,9,8,1,5,3,6,2,4,7]
[9,4,2,6,3,8,5,7,1,10,12,11]=>[11,12,10,1,7,5,8,3,6,2,4,9]
[1,5,3,7,4,9,6,11,8,2,12,10]=>[10,12,2,8,11,6,9,4,7,3,5,1]
[1,5,3,7,4,9,6,2,8,11,12,10]=>[10,12,11,8,2,6,9,4,7,3,5,1]
[1,5,3,7,4,11,10,6,8,2,12,9]=>[9,12,2,8,6,10,11,4,7,3,5,1]
[1,5,3,7,4,2,11,8,6,10,12,9]=>[9,12,10,6,8,11,2,4,7,3,5,1]
[1,5,3,7,4,2,6,8,10,11,12,9]=>[9,12,11,10,8,6,2,4,7,3,5,1]
[9,4,2,8,7,3,5,6,1,10,12,11]=>[11,12,10,1,6,5,3,7,8,2,4,9]
[1,5,3,9,8,4,6,11,7,2,12,10]=>[10,12,2,7,11,6,4,8,9,3,5,1]
[1,5,3,9,8,4,6,2,7,11,12,10]=>[10,12,11,7,2,6,4,8,9,3,5,1]
[1,5,3,11,8,4,10,6,7,2,12,9]=>[9,12,2,7,6,10,4,8,11,3,5,1]
[1,5,3,2,9,6,11,7,4,10,12,8]=>[8,12,10,4,7,11,6,9,2,3,5,1]
[1,5,3,2,9,6,4,7,10,11,12,8]=>[8,12,11,10,7,4,6,9,2,3,5,1]
[1,5,3,11,10,9,4,6,7,2,12,8]=>[8,12,2,7,6,4,9,10,11,3,5,1]
[1,5,3,2,11,10,6,7,4,9,12,8]=>[8,12,9,4,7,6,10,11,2,3,5,1]
[1,5,3,2,4,11,7,6,9,10,12,8]=>[8,12,10,9,6,7,11,4,2,3,5,1]
[1,5,3,2,4,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,4,2,3,5,1]
[7,6,5,2,3,4,9,8,1,10,12,11]=>[11,12,10,1,8,9,4,3,2,5,6,7]
[7,6,5,2,3,4,1,11,9,8,12,10]=>[10,12,8,9,11,1,4,3,2,5,6,7]
[7,6,5,2,3,4,1,8,9,11,12,10]=>[10,12,11,9,8,1,4,3,2,5,6,7]
[9,6,5,2,3,8,4,7,1,10,12,11]=>[11,12,10,1,7,4,8,3,2,5,6,9]
[1,7,6,3,4,9,5,11,8,2,12,10]=>[10,12,2,8,11,5,9,4,3,6,7,1]
[1,7,6,3,4,9,5,2,8,11,12,10]=>[10,12,11,8,2,5,9,4,3,6,7,1]
[1,7,6,3,4,11,10,5,8,2,12,9]=>[9,12,2,8,5,10,11,4,3,6,7,1]
[1,7,6,3,4,2,11,8,5,10,12,9]=>[9,12,10,5,8,11,2,4,3,6,7,1]
[1,7,6,3,4,2,5,8,10,11,12,9]=>[9,12,11,10,8,5,2,4,3,6,7,1]
[9,8,5,2,7,3,4,6,1,10,12,11]=>[11,12,10,1,6,4,3,7,2,5,8,9]
[1,9,6,3,8,4,5,11,7,2,12,10]=>[10,12,2,7,11,5,4,8,3,6,9,1]
[1,9,6,3,8,4,5,2,7,11,12,10]=>[10,12,11,7,2,5,4,8,3,6,9,1]
[1,11,6,3,8,4,10,5,7,2,12,9]=>[9,12,2,7,5,10,4,8,3,6,11,1]
[1,2,7,4,9,5,11,6,3,10,12,8]=>[8,12,10,3,6,11,5,9,4,7,2,1]
[1,2,7,4,9,5,3,6,10,11,12,8]=>[8,12,11,10,6,3,5,9,4,7,2,1]
[1,11,6,3,10,9,4,5,7,2,12,8]=>[8,12,2,7,5,4,9,10,3,6,11,1]
[1,2,7,4,11,10,5,6,3,9,12,8]=>[8,12,9,3,6,5,10,11,4,7,2,1]
[1,2,7,4,3,11,6,5,9,10,12,8]=>[8,12,10,9,5,6,11,3,4,7,2,1]
[1,2,7,4,3,5,6,9,10,11,12,8]=>[8,12,11,10,9,6,5,3,4,7,2,1]
[9,8,7,6,2,3,4,5,1,10,12,11]=>[11,12,10,1,5,4,3,2,6,7,8,9]
[1,9,8,7,3,4,5,11,6,2,12,10]=>[10,12,2,6,11,5,4,3,7,8,9,1]
[1,9,8,7,3,4,5,2,6,11,12,10]=>[10,12,11,6,2,5,4,3,7,8,9,1]
[1,11,8,7,3,4,10,5,6,2,12,9]=>[9,12,2,6,5,10,4,3,7,8,11,1]
[1,2,9,8,4,5,11,6,3,10,12,7]=>[7,12,10,3,6,11,5,4,8,9,2,1]
[1,2,9,8,4,5,3,6,10,11,12,7]=>[7,12,11,10,6,3,5,4,8,9,2,1]
[1,11,10,7,3,9,4,5,6,2,12,8]=>[8,12,2,6,5,4,9,3,7,10,11,1]
[1,2,11,8,4,10,5,6,3,9,12,7]=>[7,12,9,3,6,5,10,4,8,11,2,1]
[1,2,3,9,5,11,6,4,8,10,12,7]=>[7,12,10,8,4,6,11,5,9,3,2,1]
[1,2,3,9,5,4,6,8,10,11,12,7]=>[7,12,11,10,8,6,4,5,9,3,2,1]
[1,11,10,9,8,3,4,5,6,2,12,7]=>[7,12,2,6,5,4,3,8,9,10,11,1]
[1,2,11,10,9,4,5,6,3,8,12,7]=>[7,12,8,3,6,5,4,9,10,11,2,1]
[1,2,3,11,10,5,6,4,8,9,12,7]=>[7,12,9,8,4,6,5,10,11,3,2,1]
[1,2,3,4,11,6,5,8,9,10,12,7]=>[7,12,10,9,8,5,6,11,4,3,2,1]
[7,5,8,6,12,2,10,4,11,1,9,3]=>[3,9,1,11,4,10,2,12,6,8,5,7]
[10,4,8,6,9,3,7,5,11,1,12,2]=>[2,12,1,11,5,7,3,9,6,8,4,10]
[11,1,7,5,12,2,10,4,8,6,9,3]=>[3,9,6,8,4,10,2,12,5,7,1,11]
[9,3,11,1,7,5,12,2,8,6,10,4]=>[4,10,6,8,2,12,5,7,1,11,3,9]
[5,6,8,7,9,3,10,4,11,1,12,2]=>[2,12,1,11,4,10,3,9,7,8,6,5]
[5,6,8,7,12,2,10,4,11,1,9,3]=>[3,9,1,11,4,10,2,12,7,8,6,5]
[6,10,4,8,7,9,3,5,11,1,12,2]=>[2,12,1,11,5,3,9,7,8,4,10,6]
[6,11,1,5,12,2,10,4,8,7,9,3]=>[3,9,7,8,4,10,2,12,5,1,11,6]
[6,9,3,11,1,5,12,2,8,7,10,4]=>[4,10,7,8,2,12,5,1,11,3,9,6]
[8,9,3,5,7,10,4,6,11,1,12,2]=>[2,12,1,11,6,4,10,7,5,3,9,8]
[8,12,2,10,4,6,11,1,5,7,9,3]=>[3,9,7,5,1,11,6,4,10,2,12,8]
[8,9,3,12,2,6,11,1,5,7,10,4]=>[4,10,7,5,1,11,6,2,12,3,9,8]
[10,4,8,9,3,7,12,2,6,11,1,5]=>[5,1,11,6,2,12,7,3,9,8,4,10]
[10,5,7,3,9,6,8,4,11,1,12,2]=>[2,12,1,11,4,8,6,9,3,7,5,10]
[11,1,9,6,8,4,12,2,10,5,7,3]=>[3,7,5,10,2,12,4,8,6,9,1,11]
[7,3,8,4,9,6,10,5,11,1,12,2]=>[2,12,1,11,5,10,6,9,4,8,3,7]
[8,4,9,6,12,2,10,5,11,1,7,3]=>[3,7,1,11,5,10,2,12,6,9,4,8]
[11,1,7,3,9,6,10,5,12,2,8,4]=>[4,8,2,12,5,10,6,9,3,7,1,11]
[6,10,5,3,9,7,8,4,11,1,12,2]=>[2,12,1,11,4,8,7,9,3,5,10,6]
[6,11,1,9,7,8,4,12,2,10,5,3]=>[3,5,10,2,12,4,8,7,9,1,11,6]
[3,6,8,4,9,7,10,5,11,1,12,2]=>[2,12,1,11,5,10,7,9,4,8,6,3]
[6,8,4,9,7,12,2,10,5,11,1,3]=>[3,1,11,5,10,2,12,7,9,4,8,6]
[6,11,1,3,9,7,10,5,12,2,8,4]=>[4,8,2,12,5,10,7,9,3,1,11,6]
[3,10,5,7,9,8,4,6,11,1,12,2]=>[2,12,1,11,6,4,8,9,7,5,10,3]
[12,2,10,5,7,9,8,4,6,11,1,3]=>[3,1,11,6,4,8,9,7,5,10,2,12]
[10,5,7,12,2,6,11,1,3,9,8,4]=>[4,8,9,3,1,11,6,2,12,7,5,10]
[8,4,9,12,2,6,11,1,3,7,10,5]=>[5,10,7,3,1,11,6,2,12,9,4,8]
[8,9,7,5,3,10,6,4,11,1,12,2]=>[2,12,1,11,4,6,10,3,5,7,9,8]
[8,12,2,10,6,4,11,1,9,7,5,3]=>[3,5,7,9,1,11,4,6,10,2,12,8]
[3,10,6,4,8,9,7,5,11,1,12,2]=>[2,12,1,11,5,7,9,8,4,6,10,3]
[12,2,10,6,4,8,9,7,5,11,1,3]=>[3,1,11,5,7,9,8,4,6,10,2,12]
[11,1,3,9,7,5,12,2,8,10,6,4]=>[4,6,10,8,2,12,5,7,9,3,1,11]
[3,4,7,5,9,8,10,6,11,1,12,2]=>[2,12,1,11,6,10,8,9,5,7,4,3]
[4,7,5,9,8,12,2,10,6,11,1,3]=>[3,1,11,6,10,2,12,8,9,5,7,4]
[7,5,11,1,3,9,8,10,6,12,2,4]=>[4,2,12,6,10,8,9,3,1,11,5,7]
[9,12,2,4,8,10,6,11,1,3,7,5]=>[5,7,3,1,11,6,10,8,4,2,12,9]
[3,4,5,6,9,8,10,7,11,1,12,2]=>[2,12,1,11,7,10,8,9,6,5,4,3]
[4,5,6,9,8,12,2,10,7,11,1,3]=>[3,1,11,7,10,2,12,8,9,6,5,4]
[5,6,11,1,3,9,8,10,7,12,2,4]=>[4,2,12,7,10,8,9,3,1,11,6,5]
[6,9,12,2,4,8,10,7,11,1,3,5]=>[5,3,1,11,7,10,8,4,2,12,9,6]
[9,10,8,11,1,3,5,7,12,2,4,6]=>[6,4,2,12,7,5,3,1,11,8,10,9]
[7,5,8,6,12,3,9,1,11,4,10,2]=>[2,10,4,11,1,9,3,12,6,8,5,7]
[7,5,8,6,9,1,10,2,11,4,12,3]=>[3,12,4,11,2,10,1,9,6,8,5,7]
[11,4,8,6,9,1,12,3,7,5,10,2]=>[2,10,5,7,3,12,1,9,6,8,4,11]
[10,2,11,4,8,6,9,1,7,5,12,3]=>[3,12,5,7,1,9,6,8,4,11,2,10]
[10,2,8,6,12,3,9,1,7,5,11,4]=>[4,11,5,7,1,9,3,12,6,8,2,10]
[5,6,8,7,12,3,9,1,11,4,10,2]=>[2,10,4,11,1,9,3,12,7,8,6,5]
[5,6,8,7,9,1,10,2,11,4,12,3]=>[3,12,4,11,2,10,1,9,7,8,6,5]
[6,11,4,8,7,9,1,12,3,5,10,2]=>[2,10,5,3,12,1,9,7,8,4,11,6]
[6,10,2,11,4,8,7,9,1,5,12,3]=>[3,12,5,1,9,7,8,4,11,2,10,6]
[6,10,2,8,7,12,3,9,1,5,11,4]=>[4,11,5,1,9,3,12,7,8,2,10,6]
[8,12,3,5,7,9,1,11,4,6,10,2]=>[2,10,6,4,11,1,9,7,5,3,12,8]
[8,9,1,5,7,10,2,11,4,6,12,3]=>[3,12,6,4,11,2,10,7,5,1,9,8]
[8,12,3,9,1,5,7,10,2,6,11,4]=>[4,11,6,2,10,7,5,1,9,3,12,8]
[12,3,7,10,2,6,11,4,8,9,1,5]=>[5,1,9,8,4,11,6,2,10,7,3,12]
[11,5,7,1,12,3,9,6,8,4,10,2]=>[2,10,4,8,6,9,3,12,1,7,5,11]
[10,2,11,5,7,1,9,6,8,4,12,3]=>[3,12,4,8,6,9,1,7,5,11,2,10]
[8,4,9,6,12,3,7,1,11,5,10,2]=>[2,10,5,11,1,7,3,12,6,9,4,8]
[7,1,8,4,9,6,10,2,11,5,12,3]=>[3,12,5,11,2,10,6,9,4,8,1,7]
[7,1,11,5,12,3,9,6,10,2,8,4]=>[4,8,2,10,6,9,3,12,5,11,1,7]
[6,11,5,1,12,3,9,7,8,4,10,2]=>[2,10,4,8,7,9,3,12,1,5,11,6]
[6,10,2,11,5,1,9,7,8,4,12,3]=>[3,12,4,8,7,9,1,5,11,2,10,6]
[6,8,4,9,7,12,3,1,11,5,10,2]=>[2,10,5,11,1,3,12,7,9,4,8,6]
[1,6,8,4,9,7,10,2,11,5,12,3]=>[3,12,5,11,2,10,7,9,4,8,6,1]
[1,6,11,5,12,3,9,7,10,2,8,4]=>[4,8,2,10,7,9,3,12,5,11,6,1]
[12,3,1,11,5,7,9,8,4,6,10,2]=>[2,10,6,4,8,9,7,5,11,1,3,12]
[1,10,2,11,5,7,9,8,4,6,12,3]=>[3,12,6,4,8,9,7,5,11,2,10,1]
[1,11,5,7,10,2,6,12,3,9,8,4]=>[4,8,9,3,12,6,2,10,7,5,11,1]
[1,8,4,9,12,3,7,10,2,6,11,5]=>[5,11,6,2,10,7,3,12,9,4,8,1]
[8,12,3,9,7,5,1,11,6,4,10,2]=>[2,10,4,6,11,1,5,7,9,3,12,8]
[8,9,7,5,1,10,2,11,6,4,12,3]=>[3,12,4,6,11,2,10,1,5,7,9,8]
[12,3,1,11,6,4,8,9,7,5,10,2]=>[2,10,5,7,9,8,4,6,11,1,3,12]
[1,10,2,11,6,4,8,9,7,5,12,3]=>[3,12,5,7,9,8,4,6,11,2,10,1]
[1,10,2,8,12,3,9,7,5,11,6,4]=>[4,6,11,5,7,9,3,12,8,2,10,1]
[4,7,5,9,8,12,3,1,11,6,10,2]=>[2,10,6,11,1,3,12,8,9,5,7,4]
[1,4,7,5,9,8,10,2,11,6,12,3]=>[3,12,6,11,2,10,8,9,5,7,4,1]
[1,7,5,11,6,12,3,9,8,10,2,4]=>[4,2,10,8,9,3,12,6,11,5,7,1]
[1,9,10,2,4,8,11,6,12,3,7,5]=>[5,7,3,12,6,11,8,4,2,10,9,1]
[4,5,6,9,8,12,3,1,11,7,10,2]=>[2,10,7,11,1,3,12,8,9,6,5,4]
[1,4,5,6,9,8,10,2,11,7,12,3]=>[3,12,7,11,2,10,8,9,6,5,4,1]
[1,5,6,11,7,12,3,9,8,10,2,4]=>[4,2,10,8,9,3,12,7,11,6,5,1]
[1,6,9,10,2,4,8,11,7,12,3,5]=>[5,3,12,7,11,8,4,2,10,9,6,1]
[1,9,12,3,5,7,11,8,10,2,4,6]=>[6,4,2,10,8,11,7,5,3,12,9,1]
[9,3,11,5,7,1,12,4,10,6,8,2]=>[2,8,6,10,4,12,1,7,5,11,3,9]
[10,6,8,2,12,4,11,5,7,1,9,3]=>[3,9,1,7,5,11,4,12,2,8,6,10]
[11,5,10,6,9,3,7,1,12,4,8,2]=>[2,8,4,12,1,7,3,9,6,10,5,11]
[7,1,11,5,12,4,8,2,10,6,9,3]=>[3,9,6,10,2,8,4,12,5,11,1,7]
[7,1,8,2,9,3,10,6,11,5,12,4]=>[4,12,5,11,6,10,3,9,2,8,1,7]
[6,9,3,11,5,1,12,4,10,7,8,2]=>[2,8,7,10,4,12,1,5,11,3,9,6]
[6,10,7,8,2,12,4,11,5,1,9,3]=>[3,9,1,5,11,4,12,2,8,7,10,6]
[6,11,5,10,7,9,3,1,12,4,8,2]=>[2,8,4,12,1,3,9,7,10,5,11,6]
[1,6,11,5,12,4,8,2,10,7,9,3]=>[3,9,7,10,2,8,4,12,5,11,6,1]
[1,6,8,2,9,3,10,7,11,5,12,4]=>[4,12,5,11,7,10,3,9,2,8,6,1]
[11,5,7,9,3,1,12,4,6,10,8,2]=>[2,8,10,6,4,12,1,3,9,7,5,11]
[1,10,8,2,12,4,6,11,5,7,9,3]=>[3,9,7,5,11,6,4,12,2,8,10,1]
[1,9,3,11,5,7,10,8,2,6,12,4]=>[4,12,6,2,8,10,7,5,11,3,9,1]
[1,10,9,3,7,12,4,8,2,6,11,5]=>[5,11,6,2,8,4,12,7,3,9,10,1]
[8,9,3,12,4,10,7,5,1,11,6,2]=>[2,6,11,1,5,7,10,4,12,3,9,8]
[8,12,4,11,6,2,10,7,5,1,9,3]=>[3,9,1,5,7,10,2,6,11,4,12,8]
[10,7,5,12,4,8,9,3,1,11,6,2]=>[2,6,11,1,3,9,8,4,12,5,7,10]
[1,11,6,2,10,7,5,12,4,8,9,3]=>[3,9,8,4,12,5,7,10,2,6,11,1]
[1,9,3,11,6,2,8,10,7,5,12,4]=>[4,12,5,7,10,8,2,6,11,3,9,1]
[7,5,11,6,10,8,9,3,1,12,4,2]=>[2,4,12,1,3,9,8,10,6,11,5,7]
[1,7,5,11,6,12,4,2,10,8,9,3]=>[3,9,8,10,2,4,12,6,11,5,7,1]
[1,2,7,5,9,3,10,8,11,6,12,4]=>[4,12,6,11,8,10,3,9,5,7,2,1]
[1,2,11,6,12,4,8,10,9,3,7,5]=>[5,7,3,9,10,8,4,12,6,11,2,1]
[5,6,11,7,10,8,9,3,1,12,4,2]=>[2,4,12,1,3,9,8,10,7,11,6,5]
[1,5,6,11,7,12,4,2,10,8,9,3]=>[3,9,8,10,2,4,12,7,11,6,5,1]
[1,2,5,6,9,3,10,8,11,7,12,4]=>[4,12,7,11,8,10,3,9,6,5,2,1]
[1,2,6,11,7,12,4,8,10,9,3,5]=>[5,3,9,10,8,4,12,7,11,6,2,1]
[1,2,11,8,10,9,3,5,7,12,4,6]=>[6,4,12,7,5,3,9,10,8,11,2,1]
[10,7,3,9,8,4,12,5,1,11,6,2]=>[2,6,11,1,5,12,4,8,9,3,7,10]
[12,5,1,9,8,4,11,6,2,10,7,3]=>[3,7,10,2,6,11,4,8,9,1,5,12]
[8,4,9,12,5,10,7,3,1,11,6,2]=>[2,6,11,1,3,7,10,5,12,9,4,8]
[1,8,4,9,12,5,11,6,2,10,7,3]=>[3,7,10,2,6,11,5,12,9,4,8,1]
[1,10,7,3,9,12,5,11,6,2,8,4]=>[4,8,2,6,11,5,12,9,3,7,10,1]
[9,12,5,7,3,1,11,6,10,8,4,2]=>[2,4,8,10,6,11,1,3,7,5,12,9]
[1,9,10,8,4,2,11,6,12,5,7,3]=>[3,7,5,12,6,11,2,4,8,10,9,1]
[1,2,11,6,12,5,7,3,9,10,8,4]=>[4,8,10,9,3,7,5,12,6,11,2,1]
[1,2,7,3,8,4,10,9,11,6,12,5]=>[5,12,6,11,9,10,4,8,3,7,2,1]
[6,9,12,5,3,1,11,7,10,8,4,2]=>[2,4,8,10,7,11,1,3,5,12,9,6]
[1,6,9,10,8,4,2,11,7,12,5,3]=>[3,5,12,7,11,2,4,8,10,9,6,1]
[1,2,6,11,7,12,5,3,9,10,8,4]=>[4,8,10,9,3,5,12,7,11,6,2,1]
[1,2,3,6,8,4,10,9,11,7,12,5]=>[5,12,7,11,9,10,4,8,6,3,2,1]
[1,2,3,10,9,12,5,7,11,8,4,6]=>[6,4,8,11,7,5,12,9,10,3,2,1]
[9,10,8,11,7,5,3,1,12,6,4,2]=>[2,4,6,12,1,3,5,7,11,8,10,9]
[1,9,12,6,4,2,10,8,11,7,5,3]=>[3,5,7,11,8,10,2,4,6,12,9,1]
[1,2,11,7,5,3,9,10,8,12,6,4]=>[4,6,12,8,10,9,3,5,7,11,2,1]
[1,2,3,10,9,12,6,4,8,11,7,5]=>[5,7,11,8,4,6,12,9,10,3,2,1]
[1,2,3,4,7,5,10,9,11,8,12,6]=>[6,12,8,11,9,10,5,7,4,3,2,1]
[1,2,3,4,5,6,10,9,11,8,12,7]=>[7,12,8,11,9,10,6,5,4,3,2,1]
[8,4,1,5,9,12,2,3,6,7,10,11]=>[11,10,7,6,3,2,12,9,5,1,4,8]
[9,4,1,5,10,12,2,3,6,7,8,11]=>[11,8,7,6,3,2,12,10,5,1,4,9]
[8,5,1,6,9,12,2,3,4,7,10,11]=>[11,10,7,4,3,2,12,9,6,1,5,8]
[9,5,1,6,10,12,2,3,4,7,8,11]=>[11,8,7,4,3,2,12,10,6,1,5,9]
[9,6,1,7,10,12,2,3,4,5,8,11]=>[11,8,5,4,3,2,12,10,7,1,6,9]
[8,4,2,5,9,12,1,3,6,7,10,11]=>[11,10,7,6,3,1,12,9,5,2,4,8]
[9,4,2,5,10,12,1,3,6,7,8,11]=>[11,8,7,6,3,1,12,10,5,2,4,9]
[8,5,2,6,9,12,1,3,4,7,10,11]=>[11,10,7,4,3,1,12,9,6,2,5,8]
[9,5,2,6,10,12,1,3,4,7,8,11]=>[11,8,7,4,3,1,12,10,6,2,5,9]
[9,6,2,7,10,12,1,3,4,5,8,11]=>[11,8,5,4,3,1,12,10,7,2,6,9]
[8,5,3,6,9,12,1,2,4,7,10,11]=>[11,10,7,4,2,1,12,9,6,3,5,8]
[9,5,3,6,10,12,1,2,4,7,8,11]=>[11,8,7,4,2,1,12,10,6,3,5,9]
[9,6,3,7,10,12,1,2,4,5,8,11]=>[11,8,5,4,2,1,12,10,7,3,6,9]
[9,6,4,7,10,12,1,2,3,5,8,11]=>[11,8,5,3,2,1,12,10,7,4,6,9]
[8,1,2,5,9,12,3,4,6,7,10,11]=>[11,10,7,6,4,3,12,9,5,2,1,8]
[9,1,2,5,10,12,3,4,6,7,8,11]=>[11,8,7,6,4,3,12,10,5,2,1,9]
[8,1,2,6,9,12,3,4,5,7,10,11]=>[11,10,7,5,4,3,12,9,6,2,1,8]
[9,1,2,6,10,12,3,4,5,7,8,11]=>[11,8,7,5,4,3,12,10,6,2,1,9]
[9,1,2,7,10,12,3,4,5,6,8,11]=>[11,8,6,5,4,3,12,10,7,2,1,9]
[8,2,3,5,9,12,1,4,6,7,10,11]=>[11,10,7,6,4,1,12,9,5,3,2,8]
[9,2,3,5,10,12,1,4,6,7,8,11]=>[11,8,7,6,4,1,12,10,5,3,2,9]
[8,2,3,6,9,12,1,4,5,7,10,11]=>[11,10,7,5,4,1,12,9,6,3,2,8]
[9,2,3,6,10,12,1,4,5,7,8,11]=>[11,8,7,5,4,1,12,10,6,3,2,9]
[9,2,3,7,10,12,1,4,5,6,8,11]=>[11,8,6,5,4,1,12,10,7,3,2,9]
[8,3,4,6,9,12,1,2,5,7,10,11]=>[11,10,7,5,2,1,12,9,6,4,3,8]
[9,3,4,6,10,12,1,2,5,7,8,11]=>[11,8,7,5,2,1,12,10,6,4,3,9]
[9,3,4,7,10,12,1,2,5,6,8,11]=>[11,8,6,5,2,1,12,10,7,4,3,9]
[9,4,5,7,10,12,1,2,3,6,8,11]=>[11,8,6,3,2,1,12,10,7,5,4,9]
[8,1,3,5,9,12,2,4,6,7,10,11]=>[11,10,7,6,4,2,12,9,5,3,1,8]
[9,1,3,5,10,12,2,4,6,7,8,11]=>[11,8,7,6,4,2,12,10,5,3,1,9]
[8,1,3,6,9,12,2,4,5,7,10,11]=>[11,10,7,5,4,2,12,9,6,3,1,8]
[9,1,3,6,10,12,2,4,5,7,8,11]=>[11,8,7,5,4,2,12,10,6,3,1,9]
[9,1,3,7,10,12,2,4,5,6,8,11]=>[11,8,6,5,4,2,12,10,7,3,1,9]
[8,1,4,6,9,12,2,3,5,7,10,11]=>[11,10,7,5,3,2,12,9,6,4,1,8]
[9,1,4,6,10,12,2,3,5,7,8,11]=>[11,8,7,5,3,2,12,10,6,4,1,9]
[9,1,4,7,10,12,2,3,5,6,8,11]=>[11,8,6,5,3,2,12,10,7,4,1,9]
[9,1,5,7,10,12,2,3,4,6,8,11]=>[11,8,6,4,3,2,12,10,7,5,1,9]
[8,2,4,6,9,12,1,3,5,7,10,11]=>[11,10,7,5,3,1,12,9,6,4,2,8]
[9,2,4,6,10,12,1,3,5,7,8,11]=>[11,8,7,5,3,1,12,10,6,4,2,9]
[9,2,4,7,10,12,1,3,5,6,8,11]=>[11,8,6,5,3,1,12,10,7,4,2,9]
[9,2,5,7,10,12,1,3,4,6,8,11]=>[11,8,6,4,3,1,12,10,7,5,2,9]
[9,3,5,7,10,12,1,2,4,6,8,11]=>[11,8,6,4,2,1,12,10,7,5,3,9]
[4,5,1,6,9,12,2,3,7,8,10,11]=>[11,10,8,7,3,2,12,9,6,1,5,4]
[4,5,1,6,10,12,2,3,7,8,9,11]=>[11,9,8,7,3,2,12,10,6,1,5,4]
[5,6,1,7,9,12,2,3,4,8,10,11]=>[11,10,8,4,3,2,12,9,7,1,6,5]
[5,6,1,7,10,12,2,3,4,8,9,11]=>[11,9,8,4,3,2,12,10,7,1,6,5]
[6,7,1,8,10,12,2,3,4,5,9,11]=>[11,9,5,4,3,2,12,10,8,1,7,6]
[4,5,2,6,9,12,1,3,7,8,10,11]=>[11,10,8,7,3,1,12,9,6,2,5,4]
[4,5,2,6,10,12,1,3,7,8,9,11]=>[11,9,8,7,3,1,12,10,6,2,5,4]
[5,6,2,7,9,12,1,3,4,8,10,11]=>[11,10,8,4,3,1,12,9,7,2,6,5]
[5,6,2,7,10,12,1,3,4,8,9,11]=>[11,9,8,4,3,1,12,10,7,2,6,5]
[6,7,2,8,10,12,1,3,4,5,9,11]=>[11,9,5,4,3,1,12,10,8,2,7,6]
[5,6,3,7,9,12,1,2,4,8,10,11]=>[11,10,8,4,2,1,12,9,7,3,6,5]
[5,6,3,7,10,12,1,2,4,8,9,11]=>[11,9,8,4,2,1,12,10,7,3,6,5]
[6,7,3,8,10,12,1,2,4,5,9,11]=>[11,9,5,4,2,1,12,10,8,3,7,6]
[6,7,4,8,10,12,1,2,3,5,9,11]=>[11,9,5,3,2,1,12,10,8,4,7,6]
[5,1,2,6,9,12,3,4,7,8,10,11]=>[11,10,8,7,4,3,12,9,6,2,1,5]
[5,1,2,6,10,12,3,4,7,8,9,11]=>[11,9,8,7,4,3,12,10,6,2,1,5]
[6,1,2,7,9,12,3,4,5,8,10,11]=>[11,10,8,5,4,3,12,9,7,2,1,6]
[6,1,2,7,10,12,3,4,5,8,9,11]=>[11,9,8,5,4,3,12,10,7,2,1,6]
[7,1,2,8,10,12,3,4,5,6,9,11]=>[11,9,6,5,4,3,12,10,8,2,1,7]
[5,2,3,6,9,12,1,4,7,8,10,11]=>[11,10,8,7,4,1,12,9,6,3,2,5]
[5,2,3,6,10,12,1,4,7,8,9,11]=>[11,9,8,7,4,1,12,10,6,3,2,5]
[6,2,3,7,9,12,1,4,5,8,10,11]=>[11,10,8,5,4,1,12,9,7,3,2,6]
[6,2,3,7,10,12,1,4,5,8,9,11]=>[11,9,8,5,4,1,12,10,7,3,2,6]
[7,2,3,8,10,12,1,4,5,6,9,11]=>[11,9,6,5,4,1,12,10,8,3,2,7]
[6,3,4,7,9,12,1,2,5,8,10,11]=>[11,10,8,5,2,1,12,9,7,4,3,6]
[6,3,4,7,10,12,1,2,5,8,9,11]=>[11,9,8,5,2,1,12,10,7,4,3,6]
[7,3,4,8,10,12,1,2,5,6,9,11]=>[11,9,6,5,2,1,12,10,8,4,3,7]
[7,4,5,8,10,12,1,2,3,6,9,11]=>[11,9,6,3,2,1,12,10,8,5,4,7]
[5,1,3,6,9,12,2,4,7,8,10,11]=>[11,10,8,7,4,2,12,9,6,3,1,5]
[5,1,3,6,10,12,2,4,7,8,9,11]=>[11,9,8,7,4,2,12,10,6,3,1,5]
[6,1,3,7,9,12,2,4,5,8,10,11]=>[11,10,8,5,4,2,12,9,7,3,1,6]
[6,1,3,7,10,12,2,4,5,8,9,11]=>[11,9,8,5,4,2,12,10,7,3,1,6]
[7,1,3,8,10,12,2,4,5,6,9,11]=>[11,9,6,5,4,2,12,10,8,3,1,7]
[6,1,4,7,9,12,2,3,5,8,10,11]=>[11,10,8,5,3,2,12,9,7,4,1,6]
[6,1,4,7,10,12,2,3,5,8,9,11]=>[11,9,8,5,3,2,12,10,7,4,1,6]
[7,1,4,8,10,12,2,3,5,6,9,11]=>[11,9,6,5,3,2,12,10,8,4,1,7]
[7,1,5,8,10,12,2,3,4,6,9,11]=>[11,9,6,4,3,2,12,10,8,5,1,7]
[6,2,4,7,9,12,1,3,5,8,10,11]=>[11,10,8,5,3,1,12,9,7,4,2,6]
[6,2,4,7,10,12,1,3,5,8,9,11]=>[11,9,8,5,3,1,12,10,7,4,2,6]
[7,2,4,8,10,12,1,3,5,6,9,11]=>[11,9,6,5,3,1,12,10,8,4,2,7]
[7,2,5,8,10,12,1,3,4,6,9,11]=>[11,9,6,4,3,1,12,10,8,5,2,7]
[7,3,5,8,10,12,1,2,4,6,9,11]=>[11,9,6,4,2,1,12,10,8,5,3,7]
[1,2,3,6,9,12,4,5,7,8,10,11]=>[11,10,8,7,5,4,12,9,6,3,2,1]
[1,2,3,6,10,12,4,5,7,8,9,11]=>[11,9,8,7,5,4,12,10,6,3,2,1]
[1,2,3,7,9,12,4,5,6,8,10,11]=>[11,10,8,6,5,4,12,9,7,3,2,1]
[1,2,3,7,10,12,4,5,6,8,9,11]=>[11,9,8,6,5,4,12,10,7,3,2,1]
[1,2,3,8,10,12,4,5,6,7,9,11]=>[11,9,7,6,5,4,12,10,8,3,2,1]
[2,3,4,6,9,12,1,5,7,8,10,11]=>[11,10,8,7,5,1,12,9,6,4,3,2]
[2,3,4,6,10,12,1,5,7,8,9,11]=>[11,9,8,7,5,1,12,10,6,4,3,2]
[2,3,4,7,9,12,1,5,6,8,10,11]=>[11,10,8,6,5,1,12,9,7,4,3,2]
[2,3,4,7,10,12,1,5,6,8,9,11]=>[11,9,8,6,5,1,12,10,7,4,3,2]
[2,3,4,8,10,12,1,5,6,7,9,11]=>[11,9,7,6,5,1,12,10,8,4,3,2]
[3,4,5,7,9,12,1,2,6,8,10,11]=>[11,10,8,6,2,1,12,9,7,5,4,3]
[3,4,5,7,10,12,1,2,6,8,9,11]=>[11,9,8,6,2,1,12,10,7,5,4,3]
[3,4,5,8,10,12,1,2,6,7,9,11]=>[11,9,7,6,2,1,12,10,8,5,4,3]
[3,1,4,6,9,12,2,5,7,8,10,11]=>[11,10,8,7,5,2,12,9,6,4,1,3]
[3,1,4,6,10,12,2,5,7,8,9,11]=>[11,9,8,7,5,2,12,10,6,4,1,3]
[3,1,4,7,9,12,2,5,6,8,10,11]=>[11,10,8,6,5,2,12,9,7,4,1,3]
[3,1,4,7,10,12,2,5,6,8,9,11]=>[11,9,8,6,5,2,12,10,7,4,1,3]
[3,1,4,8,10,12,2,5,6,7,9,11]=>[11,9,7,6,5,2,12,10,8,4,1,3]
[4,1,5,7,9,12,2,3,6,8,10,11]=>[11,10,8,6,3,2,12,9,7,5,1,4]
[4,1,5,7,10,12,2,3,6,8,9,11]=>[11,9,8,6,3,2,12,10,7,5,1,4]
[4,1,5,8,10,12,2,3,6,7,9,11]=>[11,9,7,6,3,2,12,10,8,5,1,4]
[5,1,6,8,10,12,2,3,4,7,9,11]=>[11,9,7,4,3,2,12,10,8,6,1,5]
[4,2,5,7,9,12,1,3,6,8,10,11]=>[11,10,8,6,3,1,12,9,7,5,2,4]
[4,2,5,7,10,12,1,3,6,8,9,11]=>[11,9,8,6,3,1,12,10,7,5,2,4]
[4,2,5,8,10,12,1,3,6,7,9,11]=>[11,9,7,6,3,1,12,10,8,5,2,4]
[5,2,6,8,10,12,1,3,4,7,9,11]=>[11,9,7,4,3,1,12,10,8,6,2,5]
[5,3,6,8,10,12,1,2,4,7,9,11]=>[11,9,7,4,2,1,12,10,8,6,3,5]
[1,2,4,6,9,12,3,5,7,8,10,11]=>[11,10,8,7,5,3,12,9,6,4,2,1]
[1,2,4,6,10,12,3,5,7,8,9,11]=>[11,9,8,7,5,3,12,10,6,4,2,1]
[1,2,4,7,9,12,3,5,6,8,10,11]=>[11,10,8,6,5,3,12,9,7,4,2,1]
[1,2,4,7,10,12,3,5,6,8,9,11]=>[11,9,8,6,5,3,12,10,7,4,2,1]
[1,2,4,8,10,12,3,5,6,7,9,11]=>[11,9,7,6,5,3,12,10,8,4,2,1]
[1,2,5,7,9,12,3,4,6,8,10,11]=>[11,10,8,6,4,3,12,9,7,5,2,1]
[1,2,5,7,10,12,3,4,6,8,9,11]=>[11,9,8,6,4,3,12,10,7,5,2,1]
[1,2,5,8,10,12,3,4,6,7,9,11]=>[11,9,7,6,4,3,12,10,8,5,2,1]
[1,2,6,8,10,12,3,4,5,7,9,11]=>[11,9,7,5,4,3,12,10,8,6,2,1]
[2,3,5,7,9,12,1,4,6,8,10,11]=>[11,10,8,6,4,1,12,9,7,5,3,2]
[2,3,5,7,10,12,1,4,6,8,9,11]=>[11,9,8,6,4,1,12,10,7,5,3,2]
[2,3,5,8,10,12,1,4,6,7,9,11]=>[11,9,7,6,4,1,12,10,8,5,3,2]
[2,3,6,8,10,12,1,4,5,7,9,11]=>[11,9,7,5,4,1,12,10,8,6,3,2]
[1,3,5,7,10,12,2,4,6,8,9,11]=>[11,9,8,6,4,2,12,10,7,5,3,1]
[1,3,5,8,10,12,2,4,6,7,9,11]=>[11,9,7,6,4,2,12,10,8,5,3,1]
[1,3,6,8,10,12,2,4,5,7,9,11]=>[11,9,7,5,4,2,12,10,8,6,3,1]
[4,3,1,12,11,10,9,8,7,6,5,2]=>[2,5,6,7,8,9,10,11,12,1,3,4]
[6,3,1,12,11,10,9,8,7,5,4,2]=>[2,4,5,7,8,9,10,11,12,1,3,6]
[8,3,1,12,11,10,9,7,6,5,4,2]=>[2,4,5,6,7,9,10,11,12,1,3,8]
[10,3,1,12,11,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,11,12,1,3,10]
[12,3,1,11,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,11,1,3,12]
[6,5,4,1,12,11,10,9,8,7,3,2]=>[2,3,7,8,9,10,11,12,1,4,5,6]
[8,5,4,1,12,11,10,9,7,6,3,2]=>[2,3,6,7,9,10,11,12,1,4,5,8]
[10,5,4,1,12,11,9,8,7,6,3,2]=>[2,3,6,7,8,9,11,12,1,4,5,10]
[12,5,4,1,11,10,9,8,7,6,3,2]=>[2,3,6,7,8,9,10,11,1,4,5,12]
[8,7,4,1,12,11,10,9,6,5,3,2]=>[2,3,5,6,9,10,11,12,1,4,7,8]
[10,7,4,1,12,11,9,8,6,5,3,2]=>[2,3,5,6,8,9,11,12,1,4,7,10]
[12,7,4,1,11,10,9,8,6,5,3,2]=>[2,3,5,6,8,9,10,11,1,4,7,12]
[10,9,4,1,12,11,8,7,6,5,3,2]=>[2,3,5,6,7,8,11,12,1,4,9,10]
[12,9,4,1,11,10,8,7,6,5,3,2]=>[2,3,5,6,7,8,10,11,1,4,9,12]
[12,11,4,1,10,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,10,1,4,11,12]
[8,7,6,5,1,12,11,10,9,4,3,2]=>[2,3,4,9,10,11,12,1,5,6,7,8]
[10,7,6,5,1,12,11,9,8,4,3,2]=>[2,3,4,8,9,11,12,1,5,6,7,10]
[12,7,6,5,1,11,10,9,8,4,3,2]=>[2,3,4,8,9,10,11,1,5,6,7,12]
[10,9,6,5,1,12,11,8,7,4,3,2]=>[2,3,4,7,8,11,12,1,5,6,9,10]
[12,9,6,5,1,11,10,8,7,4,3,2]=>[2,3,4,7,8,10,11,1,5,6,9,12]
[12,11,6,5,1,10,9,8,7,4,3,2]=>[2,3,4,7,8,9,10,1,5,6,11,12]
[10,9,8,5,1,12,11,7,6,4,3,2]=>[2,3,4,6,7,11,12,1,5,8,9,10]
[12,9,8,5,1,11,10,7,6,4,3,2]=>[2,3,4,6,7,10,11,1,5,8,9,12]
[12,11,8,5,1,10,9,7,6,4,3,2]=>[2,3,4,6,7,9,10,1,5,8,11,12]
[12,11,10,5,1,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,1,5,10,11,12]
[10,9,8,7,6,1,12,11,5,4,3,2]=>[2,3,4,5,11,12,1,6,7,8,9,10]
[12,9,8,7,6,1,11,10,5,4,3,2]=>[2,3,4,5,10,11,1,6,7,8,9,12]
[12,11,8,7,6,1,10,9,5,4,3,2]=>[2,3,4,5,9,10,1,6,7,8,11,12]
[12,11,10,7,6,1,9,8,5,4,3,2]=>[2,3,4,5,8,9,1,6,7,10,11,12]
[12,11,10,9,6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6,9,10,11,12]
[12,11,10,9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9,10,11,12]
[1,12,2,11,3,10,6,7,8,9,5,4]=>[4,5,9,8,7,6,10,3,11,2,12,1]
[1,12,2,11,3,10,4,9,6,7,8,5]=>[5,8,7,6,9,4,10,3,11,2,12,1]
[2,12,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,12,2]
[11,12,9,7,8,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,8,7,9,12,11]
[11,12,9,7,8,10,5,6,3,1,2,4]=>[4,2,1,3,6,5,10,8,7,9,12,11]
[11,12,9,7,8,10,5,3,4,6,1,2]=>[2,1,6,4,3,5,10,8,7,9,12,11]
[1,2,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,2,1]
[1,11,12,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,12,11,1]
[11,9,10,7,8,5,6,3,4,1,2,12]=>[12,2,1,4,3,6,5,8,7,10,9,11]
[1,12,2,11,3,10,5,6,9,8,4,7]=>[7,4,8,9,6,5,10,3,11,2,12,1]
[1,12,2,11,3,10,6,5,9,7,8,4]=>[4,8,7,9,5,6,10,3,11,2,12,1]
[1,12,2,11,4,5,10,9,3,8,6,7]=>[7,6,8,3,9,10,5,4,11,2,12,1]
[1,12,2,11,4,5,10,9,6,7,8,3]=>[3,8,7,6,9,10,5,4,11,2,12,1]
[1,12,2,11,5,4,10,6,9,8,3,7]=>[7,3,8,9,6,10,4,5,11,2,12,1]
[1,12,2,11,6,4,10,5,9,7,8,3]=>[3,8,7,9,5,10,4,6,11,2,12,1]
[1,12,2,11,6,4,10,7,8,9,5,3]=>[3,5,9,8,7,10,4,6,11,2,12,1]
[1,12,2,11,5,6,7,10,9,8,3,4]=>[4,3,8,9,10,7,6,5,11,2,12,1]
[1,12,2,11,6,5,7,10,9,4,8,3]=>[3,8,4,9,10,7,5,6,11,2,12,1]
[1,12,2,11,6,7,5,10,8,9,4,3]=>[3,4,9,8,10,5,7,6,11,2,12,1]
[1,12,2,11,6,7,8,9,10,5,4,3]=>[3,4,5,10,9,8,7,6,11,2,12,1]
[1,12,3,4,11,10,2,9,5,8,6,7]=>[7,6,8,5,9,2,10,11,4,3,12,1]
[1,12,3,4,11,10,2,9,6,7,8,5]=>[5,8,7,6,9,2,10,11,4,3,12,1]
[1,12,3,4,11,10,5,6,9,8,2,7]=>[7,2,8,9,6,5,10,11,4,3,12,1]
[1,12,3,4,11,10,6,5,9,7,8,2]=>[2,8,7,9,5,6,10,11,4,3,12,1]
[1,12,3,4,11,10,6,7,8,9,5,2]=>[2,5,9,8,7,6,10,11,4,3,12,1]
[1,12,4,3,11,5,10,9,2,8,6,7]=>[7,6,8,2,9,10,5,11,3,4,12,1]
[1,12,4,3,11,5,10,9,6,7,8,2]=>[2,8,7,6,9,10,5,11,3,4,12,1]
[1,12,5,3,11,4,10,6,9,8,2,7]=>[7,2,8,9,6,10,4,11,3,5,12,1]
[1,12,6,3,11,4,10,5,9,7,8,2]=>[2,8,7,9,5,10,4,11,3,6,12,1]
[1,12,6,3,11,4,10,7,8,9,5,2]=>[2,5,9,8,7,10,4,11,3,6,12,1]
[1,12,5,3,11,6,7,10,9,8,2,4]=>[4,2,8,9,10,7,6,11,3,5,12,1]
[1,12,6,3,11,5,7,10,9,4,8,2]=>[2,8,4,9,10,7,5,11,3,6,12,1]
[1,12,6,3,11,7,5,10,8,9,4,2]=>[2,4,9,8,10,5,7,11,3,6,12,1]
[1,12,6,3,11,7,8,9,10,5,4,2]=>[2,4,5,10,9,8,7,11,3,6,12,1]
[1,12,4,5,6,11,10,9,2,8,3,7]=>[7,3,8,2,9,10,11,6,5,4,12,1]
[1,12,4,5,6,11,10,9,3,7,8,2]=>[2,8,7,3,9,10,11,6,5,4,12,1]
[1,12,5,4,6,11,10,3,9,8,2,7]=>[7,2,8,9,3,10,11,6,4,5,12,1]
[1,12,6,4,5,11,10,3,9,7,8,2]=>[2,8,7,9,3,10,11,5,4,6,12,1]
[1,12,6,4,5,11,10,7,8,9,3,2]=>[2,3,9,8,7,10,11,5,4,6,12,1]
[1,12,5,6,4,11,7,10,9,8,2,3]=>[3,2,8,9,10,7,11,4,6,5,12,1]
[1,12,6,5,4,11,7,10,9,3,8,2]=>[2,8,3,9,10,7,11,4,5,6,12,1]
[1,12,6,7,4,11,5,10,8,9,3,2]=>[2,3,9,8,10,5,11,4,7,6,12,1]
[1,12,6,7,4,11,8,9,10,5,3,2]=>[2,3,5,10,9,8,11,4,7,6,12,1]
[1,12,5,6,7,8,11,10,9,4,2,3]=>[3,2,4,9,10,11,8,7,6,5,12,1]
[1,12,6,5,7,8,11,10,9,3,4,2]=>[2,4,3,9,10,11,8,7,5,6,12,1]
[1,12,6,7,5,8,11,10,4,9,3,2]=>[2,3,9,4,10,11,8,5,7,6,12,1]
[1,12,6,7,8,5,11,9,10,4,3,2]=>[2,3,4,10,9,11,5,8,7,6,12,1]
[1,12,6,7,8,9,10,11,5,4,3,2]=>[2,3,4,5,11,10,9,8,7,6,12,1]
[2,3,12,11,1,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,1,11,12,3,2]
[2,3,12,11,1,10,4,9,6,7,8,5]=>[5,8,7,6,9,4,10,1,11,12,3,2]
[2,3,12,11,1,10,5,6,9,8,4,7]=>[7,4,8,9,6,5,10,1,11,12,3,2]
[2,3,12,11,1,10,6,5,9,7,8,4]=>[4,8,7,9,5,6,10,1,11,12,3,2]
[2,3,12,11,1,10,6,7,8,9,5,4]=>[4,5,9,8,7,6,10,1,11,12,3,2]
[2,3,12,11,4,5,10,9,1,8,6,7]=>[7,6,8,1,9,10,5,4,11,12,3,2]
[2,3,12,11,4,5,10,9,6,7,8,1]=>[1,8,7,6,9,10,5,4,11,12,3,2]
[2,3,12,11,5,4,10,6,9,8,1,7]=>[7,1,8,9,6,10,4,5,11,12,3,2]
[2,3,12,11,6,4,10,5,9,7,8,1]=>[1,8,7,9,5,10,4,6,11,12,3,2]
[2,3,12,11,6,4,10,7,8,9,5,1]=>[1,5,9,8,7,10,4,6,11,12,3,2]
[2,3,12,11,5,6,7,10,9,8,1,4]=>[4,1,8,9,10,7,6,5,11,12,3,2]
[2,3,12,11,6,5,7,10,9,4,8,1]=>[1,8,4,9,10,7,5,6,11,12,3,2]
[2,3,12,11,6,7,5,10,8,9,4,1]=>[1,4,9,8,10,5,7,6,11,12,3,2]
[2,3,12,11,6,7,8,9,10,5,4,1]=>[1,4,5,10,9,8,7,6,11,12,3,2]
[3,2,12,4,11,10,1,9,5,8,6,7]=>[7,6,8,5,9,1,10,11,4,12,2,3]
[3,2,12,4,11,10,1,9,6,7,8,5]=>[5,8,7,6,9,1,10,11,4,12,2,3]
[3,2,12,4,11,10,5,6,9,8,1,7]=>[7,1,8,9,6,5,10,11,4,12,2,3]
[3,2,12,4,11,10,6,5,9,7,8,1]=>[1,8,7,9,5,6,10,11,4,12,2,3]
[3,2,12,4,11,10,6,7,8,9,5,1]=>[1,5,9,8,7,6,10,11,4,12,2,3]
[4,2,12,3,11,5,10,9,1,8,6,7]=>[7,6,8,1,9,10,5,11,3,12,2,4]
[4,2,12,3,11,5,10,9,6,7,8,1]=>[1,8,7,6,9,10,5,11,3,12,2,4]
[5,2,12,3,11,4,10,6,9,8,1,7]=>[7,1,8,9,6,10,4,11,3,12,2,5]
[6,2,12,3,11,4,10,5,9,7,8,1]=>[1,8,7,9,5,10,4,11,3,12,2,6]
[6,2,12,3,11,4,10,7,8,9,5,1]=>[1,5,9,8,7,10,4,11,3,12,2,6]
[5,2,12,3,11,6,7,10,9,8,1,4]=>[4,1,8,9,10,7,6,11,3,12,2,5]
[6,2,12,3,11,5,7,10,9,4,8,1]=>[1,8,4,9,10,7,5,11,3,12,2,6]
[6,2,12,3,11,7,5,10,8,9,4,1]=>[1,4,9,8,10,5,7,11,3,12,2,6]
[6,2,12,3,11,7,8,9,10,5,4,1]=>[1,4,5,10,9,8,7,11,3,12,2,6]
[4,2,12,5,6,11,10,9,1,8,3,7]=>[7,3,8,1,9,10,11,6,5,12,2,4]
[4,2,12,5,6,11,10,9,3,7,8,1]=>[1,8,7,3,9,10,11,6,5,12,2,4]
[5,2,12,4,6,11,10,3,9,8,1,7]=>[7,1,8,9,3,10,11,6,4,12,2,5]
[6,2,12,4,5,11,10,3,9,7,8,1]=>[1,8,7,9,3,10,11,5,4,12,2,6]
[6,2,12,4,5,11,10,7,8,9,3,1]=>[1,3,9,8,7,10,11,5,4,12,2,6]
[5,2,12,6,4,11,7,10,9,8,1,3]=>[3,1,8,9,10,7,11,4,6,12,2,5]
[6,2,12,5,4,11,7,10,9,3,8,1]=>[1,8,3,9,10,7,11,4,5,12,2,6]
[6,2,12,7,4,11,5,10,8,9,3,1]=>[1,3,9,8,10,5,11,4,7,12,2,6]
[6,2,12,7,4,11,8,9,10,5,3,1]=>[1,3,5,10,9,8,11,4,7,12,2,6]
[5,2,12,6,7,8,11,10,9,4,1,3]=>[3,1,4,9,10,11,8,7,6,12,2,5]
[6,2,12,5,7,8,11,10,9,3,4,1]=>[1,4,3,9,10,11,8,7,5,12,2,6]
[6,2,12,7,5,8,11,10,4,9,3,1]=>[1,3,9,4,10,11,8,5,7,12,2,6]
[6,2,12,7,8,5,11,9,10,4,3,1]=>[1,3,4,10,9,11,5,8,7,12,2,6]
[6,2,12,7,8,9,10,11,5,4,3,1]=>[1,3,4,5,11,10,9,8,7,12,2,6]
[3,4,5,12,11,10,1,9,2,8,6,7]=>[7,6,8,2,9,1,10,11,12,5,4,3]
[3,4,5,12,11,10,1,9,6,7,8,2]=>[2,8,7,6,9,1,10,11,12,5,4,3]
[3,4,5,12,11,10,2,6,9,8,1,7]=>[7,1,8,9,6,2,10,11,12,5,4,3]
[3,4,5,12,11,10,6,2,9,7,8,1]=>[1,8,7,9,2,6,10,11,12,5,4,3]
[3,4,5,12,11,10,6,7,8,9,2,1]=>[1,2,9,8,7,6,10,11,12,5,4,3]
[4,3,5,12,11,2,10,9,1,8,6,7]=>[7,6,8,1,9,10,2,11,12,5,3,4]
[4,3,5,12,11,2,10,9,6,7,8,1]=>[1,8,7,6,9,10,2,11,12,5,3,4]
[5,3,4,12,11,2,10,6,9,8,1,7]=>[7,1,8,9,6,10,2,11,12,4,3,5]
[6,3,4,12,11,2,10,5,9,7,8,1]=>[1,8,7,9,5,10,2,11,12,4,3,6]
[6,3,4,12,11,2,10,7,8,9,5,1]=>[1,5,9,8,7,10,2,11,12,4,3,6]
[5,3,4,12,11,6,7,10,9,8,1,2]=>[2,1,8,9,10,7,6,11,12,4,3,5]
[6,3,4,12,11,5,7,10,9,2,8,1]=>[1,8,2,9,10,7,5,11,12,4,3,6]
[6,3,4,12,11,7,5,10,8,9,2,1]=>[1,2,9,8,10,5,7,11,12,4,3,6]
[6,3,4,12,11,7,8,9,10,5,2,1]=>[1,2,5,10,9,8,7,11,12,4,3,6]
[4,5,3,12,6,11,10,9,1,8,2,7]=>[7,2,8,1,9,10,11,6,12,3,5,4]
[4,5,3,12,6,11,10,9,2,7,8,1]=>[1,8,7,2,9,10,11,6,12,3,5,4]
[5,4,3,12,6,11,10,2,9,8,1,7]=>[7,1,8,9,2,10,11,6,12,3,4,5]
[6,4,3,12,5,11,10,2,9,7,8,1]=>[1,8,7,9,2,10,11,5,12,3,4,6]
[6,4,3,12,5,11,10,7,8,9,2,1]=>[1,2,9,8,7,10,11,5,12,3,4,6]
[5,6,3,12,4,11,7,10,9,8,1,2]=>[2,1,8,9,10,7,11,4,12,3,6,5]
[6,5,3,12,4,11,7,10,9,2,8,1]=>[1,8,2,9,10,7,11,4,12,3,5,6]
[6,7,3,12,4,11,5,10,8,9,2,1]=>[1,2,9,8,10,5,11,4,12,3,7,6]
[6,7,3,12,4,11,8,9,10,5,2,1]=>[1,2,5,10,9,8,11,4,12,3,7,6]
[5,6,3,12,7,8,11,10,9,4,1,2]=>[2,1,4,9,10,11,8,7,12,3,6,5]
[6,5,3,12,7,8,11,10,9,2,4,1]=>[1,4,2,9,10,11,8,7,12,3,5,6]
[6,7,3,12,5,8,11,10,4,9,2,1]=>[1,2,9,4,10,11,8,5,12,3,7,6]
[6,7,3,12,8,5,11,9,10,4,2,1]=>[1,2,4,10,9,11,5,8,12,3,7,6]
[6,7,3,12,8,9,10,11,5,4,2,1]=>[1,2,4,5,11,10,9,8,12,3,7,6]
[4,5,6,7,12,11,10,9,1,8,2,3]=>[3,2,8,1,9,10,11,12,7,6,5,4]
[4,5,6,7,12,11,10,9,2,3,8,1]=>[1,8,3,2,9,10,11,12,7,6,5,4]
[5,4,6,7,12,11,10,2,9,8,1,3]=>[3,1,8,9,2,10,11,12,7,6,4,5]
[6,4,5,7,12,11,10,2,9,3,8,1]=>[1,8,3,9,2,10,11,12,7,5,4,6]
[6,4,5,7,12,11,10,3,8,9,2,1]=>[1,2,9,8,3,10,11,12,7,5,4,6]
[5,6,4,7,12,11,3,10,9,8,1,2]=>[2,1,8,9,10,3,11,12,7,4,6,5]
[6,5,4,7,12,11,3,10,9,2,8,1]=>[1,8,2,9,10,3,11,12,7,4,5,6]
[6,7,4,5,12,11,3,10,8,9,2,1]=>[1,2,9,8,10,3,11,12,5,4,7,6]
[6,7,4,5,12,11,8,9,10,3,2,1]=>[1,2,3,10,9,8,11,12,5,4,7,6]
[5,6,7,4,12,8,11,10,9,3,1,2]=>[2,1,3,9,10,11,8,12,4,7,6,5]
[6,5,7,4,12,8,11,10,9,2,3,1]=>[1,3,2,9,10,11,8,12,4,7,5,6]
[6,7,5,4,12,8,11,10,3,9,2,1]=>[1,2,9,3,10,11,8,12,4,5,7,6]
[6,7,8,4,12,5,11,9,10,3,2,1]=>[1,2,3,10,9,11,5,12,4,8,7,6]
[6,7,8,4,12,9,10,11,5,3,2,1]=>[1,2,3,5,11,10,9,12,4,8,7,6]
[5,6,7,8,9,12,11,10,4,3,1,2]=>[2,1,3,4,10,11,12,9,8,7,6,5]
[6,5,7,8,9,12,11,10,4,2,3,1]=>[1,3,2,4,10,11,12,9,8,7,5,6]
[6,7,5,8,9,12,11,10,3,4,2,1]=>[1,2,4,3,10,11,12,9,8,5,7,6]
[6,7,8,5,9,12,11,4,10,3,2,1]=>[1,2,3,10,4,11,12,9,5,8,7,6]
[6,7,8,9,5,12,10,11,4,3,2,1]=>[1,2,3,4,11,10,12,5,9,8,7,6]
[12,6,3,8,4,2,1,7,10,5,9,11]=>[11,9,5,10,7,1,2,4,8,3,6,12]
[11,5,9,12,6,3,8,4,2,1,7,10]=>[10,7,1,2,4,8,3,6,12,9,5,11]
[10,5,9,4,2,1,7,12,6,3,8,11]=>[11,8,3,6,12,7,1,2,4,9,5,10]
[12,6,3,8,11,5,9,4,2,1,7,10]=>[10,7,1,2,4,9,5,11,8,3,6,12]
[10,4,2,1,7,12,6,3,8,11,5,9]=>[9,5,11,8,3,6,12,7,1,2,4,10]
[8,4,2,1,7,3,12,6,10,5,9,11]=>[11,9,5,10,6,12,3,7,1,2,4,8]
[8,4,2,1,7,3,11,5,9,12,6,10]=>[10,6,12,9,5,11,3,7,1,2,4,8]
[12,6,10,5,9,4,2,1,7,3,8,11]=>[11,8,3,7,1,2,4,9,5,10,6,12]
[11,5,9,4,2,1,7,3,8,12,6,10]=>[10,6,12,8,3,7,1,2,4,9,5,11]
[12,6,10,4,2,1,7,3,8,11,5,9]=>[9,5,11,8,3,7,1,2,4,10,6,12]
[8,3,12,6,10,5,9,4,2,1,7,11]=>[11,7,1,2,4,9,5,10,6,12,3,8]
[8,3,11,5,9,4,2,1,7,12,6,10]=>[10,6,12,7,1,2,4,9,5,11,3,8]
[8,3,12,6,10,4,2,1,7,11,5,9]=>[9,5,11,7,1,2,4,10,6,12,3,8]
[12,6,10,4,2,1,7,11,5,9,3,8]=>[8,3,9,5,11,7,1,2,4,10,6,12]
[10,5,2,1,7,12,6,3,8,4,9,11]=>[11,9,4,8,3,6,12,7,1,2,5,10]
[12,6,3,8,4,9,11,5,2,1,7,10]=>[10,7,1,2,5,11,9,4,8,3,6,12]
[9,4,10,5,2,1,7,12,6,3,8,11]=>[11,8,3,6,12,7,1,2,5,10,4,9]
[9,4,12,6,3,8,11,5,2,1,7,10]=>[10,7,1,2,5,11,8,3,6,12,4,9]
[12,6,3,8,11,5,2,1,7,10,4,9]=>[9,4,10,7,1,2,5,11,8,3,6,12]
[12,6,10,5,2,1,7,3,8,4,9,11]=>[11,9,4,8,3,7,1,2,5,10,6,12]
[11,5,2,1,7,3,8,4,9,12,6,10]=>[10,6,12,9,4,8,3,7,1,2,5,11]
[9,4,12,6,10,5,2,1,7,3,8,11]=>[11,8,3,7,1,2,5,10,6,12,4,9]
[9,4,11,5,2,1,7,3,8,12,6,10]=>[10,6,12,8,3,7,1,2,5,11,4,9]
[11,5,2,1,7,3,8,12,6,10,4,9]=>[9,4,10,6,12,8,3,7,1,2,5,11]
[8,3,9,4,12,6,10,5,2,1,7,11]=>[11,7,1,2,5,10,6,12,4,9,3,8]
[8,3,9,4,11,5,2,1,7,12,6,10]=>[10,6,12,7,1,2,5,11,4,9,3,8]
[8,3,11,5,2,1,7,12,6,10,4,9]=>[9,4,10,6,12,7,1,2,5,11,3,8]
[11,5,2,1,7,12,6,10,4,9,3,8]=>[8,3,9,4,10,6,12,7,1,2,5,11]
[10,5,12,6,2,1,7,3,8,4,9,11]=>[11,9,4,8,3,7,1,2,6,12,5,10]
[12,6,2,1,7,3,8,4,9,11,5,10]=>[10,5,11,9,4,8,3,7,1,2,6,12]
[9,4,10,5,12,6,2,1,7,3,8,11]=>[11,8,3,7,1,2,6,12,5,10,4,9]
[9,4,12,6,2,1,7,3,8,11,5,10]=>[10,5,11,8,3,7,1,2,6,12,4,9]
[12,6,2,1,7,3,8,11,5,10,4,9]=>[9,4,10,5,11,8,3,7,1,2,6,12]
[8,3,9,4,10,5,12,6,2,1,7,11]=>[11,7,1,2,6,12,5,10,4,9,3,8]
[8,3,9,4,12,6,2,1,7,11,5,10]=>[10,5,11,7,1,2,6,12,4,9,3,8]
[8,3,12,6,2,1,7,11,5,10,4,9]=>[9,4,10,5,11,7,1,2,6,12,3,8]
[12,6,2,1,7,11,5,10,4,9,3,8]=>[8,3,9,4,10,5,11,7,1,2,6,12]
[7,2,1,8,3,9,4,10,5,12,6,11]=>[11,6,12,5,10,4,9,3,8,1,2,7]
[7,2,1,8,3,9,4,12,6,11,5,10]=>[10,5,11,6,12,4,9,3,8,1,2,7]
[7,2,1,8,3,12,6,11,5,10,4,9]=>[9,4,10,5,11,6,12,3,8,1,2,7]
[7,2,1,12,6,11,5,10,4,9,3,8]=>[8,3,9,4,10,5,11,6,12,1,2,7]
[8,4,2,12,6,3,1,7,10,5,9,11]=>[11,9,5,10,7,1,3,6,12,2,4,8]
[8,4,2,11,5,9,12,6,3,1,7,10]=>[10,7,1,3,6,12,9,5,11,2,4,8]
[12,6,3,1,7,10,5,9,4,2,8,11]=>[11,8,2,4,9,5,10,7,1,3,6,12]
[11,5,9,4,2,8,12,6,3,1,7,10]=>[10,7,1,3,6,12,8,2,4,9,5,11]
[12,6,3,1,7,10,4,2,8,11,5,9]=>[9,5,11,8,2,4,10,7,1,3,6,12]
[7,3,1,8,4,2,12,6,10,5,9,11]=>[11,9,5,10,6,12,2,4,8,1,3,7]
[7,3,1,8,4,2,11,5,9,12,6,10]=>[10,6,12,9,5,11,2,4,8,1,3,7]
[7,3,1,12,6,10,5,9,4,2,8,11]=>[11,8,2,4,9,5,10,6,12,1,3,7]
[7,3,1,11,5,9,4,2,8,12,6,10]=>[10,6,12,8,2,4,9,5,11,1,3,7]
[7,3,1,12,6,10,4,2,8,11,5,9]=>[9,5,11,8,2,4,10,6,12,1,3,7]
[12,6,10,5,9,4,2,8,3,1,7,11]=>[11,7,1,3,8,2,4,9,5,10,6,12]
[11,5,9,4,2,8,3,1,7,12,6,10]=>[10,6,12,7,1,3,8,2,4,9,5,11]
[12,6,10,4,2,8,3,1,7,11,5,9]=>[9,5,11,7,1,3,8,2,4,10,6,12]
[11,5,9,3,1,7,12,6,10,4,2,8]=>[8,2,4,10,6,12,7,1,3,9,5,11]
[12,6,3,1,7,10,5,2,8,4,9,11]=>[11,9,4,8,2,5,10,7,1,3,6,12]
[11,5,2,8,4,9,12,6,3,1,7,10]=>[10,7,1,3,6,12,9,4,8,2,5,11]
[9,4,12,6,3,1,7,10,5,2,8,11]=>[11,8,2,5,10,7,1,3,6,12,4,9]
[9,4,11,5,2,8,12,6,3,1,7,10]=>[10,7,1,3,6,12,8,2,5,11,4,9]
[11,5,2,8,12,6,3,1,7,10,4,9]=>[9,4,10,7,1,3,6,12,8,2,5,11]
[7,3,1,12,6,10,5,2,8,4,9,11]=>[11,9,4,8,2,5,10,6,12,1,3,7]
[7,3,1,11,5,2,8,4,9,12,6,10]=>[10,6,12,9,4,8,2,5,11,1,3,7]
[7,3,1,9,4,12,6,10,5,2,8,11]=>[11,8,2,5,10,6,12,4,9,1,3,7]
[7,3,1,9,4,11,5,2,8,12,6,10]=>[10,6,12,8,2,5,11,4,9,1,3,7]
[7,3,1,11,5,2,8,12,6,10,4,9]=>[9,4,10,6,12,8,2,5,11,1,3,7]
[9,4,12,6,10,5,2,8,3,1,7,11]=>[11,7,1,3,8,2,5,10,6,12,4,9]
[9,4,11,5,2,8,3,1,7,12,6,10]=>[10,6,12,7,1,3,8,2,5,11,4,9]
[11,5,2,8,3,1,7,12,6,10,4,9]=>[9,4,10,6,12,7,1,3,8,2,5,11]
[12,6,10,4,9,3,1,7,11,5,2,8]=>[8,2,5,11,7,1,3,9,4,10,6,12]
[7,3,1,10,5,12,6,2,8,4,9,11]=>[11,9,4,8,2,6,12,5,10,1,3,7]
[7,3,1,12,6,2,8,4,9,11,5,10]=>[10,5,11,9,4,8,2,6,12,1,3,7]
[7,3,1,9,4,10,5,12,6,2,8,11]=>[11,8,2,6,12,5,10,4,9,1,3,7]
[7,3,1,9,4,12,6,2,8,11,5,10]=>[10,5,11,8,2,6,12,4,9,1,3,7]
[7,3,1,12,6,2,8,11,5,10,4,9]=>[9,4,10,5,11,8,2,6,12,1,3,7]
[9,4,10,5,12,6,2,8,3,1,7,11]=>[11,7,1,3,8,2,6,12,5,10,4,9]
[9,4,12,6,2,8,3,1,7,11,5,10]=>[10,5,11,7,1,3,8,2,6,12,4,9]
[12,6,2,8,3,1,7,11,5,10,4,9]=>[9,4,10,5,11,7,1,3,8,2,6,12]
[11,5,10,4,9,3,1,7,12,6,2,8]=>[8,2,6,12,7,1,3,9,4,10,5,11]
[8,3,1,7,2,9,4,10,5,12,6,11]=>[11,6,12,5,10,4,9,2,7,1,3,8]
[8,3,1,7,2,9,4,12,6,11,5,10]=>[10,5,11,6,12,4,9,2,7,1,3,8]
[8,3,1,7,2,12,6,11,5,10,4,9]=>[9,4,10,5,11,6,12,2,7,1,3,8]
[12,6,11,5,10,4,9,3,1,7,2,8]=>[8,2,7,1,3,9,4,10,5,11,6,12]
[8,2,12,6,11,5,10,4,9,3,1,7]=>[7,1,3,9,4,10,5,11,6,12,2,8]
[10,5,2,8,4,1,7,12,6,3,9,11]=>[11,9,3,6,12,7,1,4,8,2,5,10]
[12,6,3,9,11,5,2,8,4,1,7,10]=>[10,7,1,4,8,2,5,11,9,3,6,12]
[12,6,3,9,4,1,7,10,5,2,8,11]=>[11,8,2,5,10,7,1,4,9,3,6,12]
[11,5,2,8,12,6,3,9,4,1,7,10]=>[10,7,1,4,9,3,6,12,8,2,5,11]
[10,4,1,7,11,5,2,8,12,6,3,9]=>[9,3,6,12,8,2,5,11,7,1,4,10]
[12,6,10,5,2,8,4,1,7,3,9,11]=>[11,9,3,7,1,4,8,2,5,10,6,12]
[11,5,2,8,4,1,7,3,9,12,6,10]=>[10,6,12,9,3,7,1,4,8,2,5,11]
[9,4,1,7,3,12,6,10,5,2,8,11]=>[11,8,2,5,10,6,12,3,7,1,4,9]
[9,4,1,7,3,11,5,2,8,12,6,10]=>[10,6,12,8,2,5,11,3,7,1,4,9]
[11,5,2,8,12,6,10,4,1,7,3,9]=>[9,3,7,1,4,10,6,12,8,2,5,11]
[12,6,10,5,2,8,3,9,4,1,7,11]=>[11,7,1,4,9,3,8,2,5,10,6,12]
[11,5,2,8,3,9,4,1,7,12,6,10]=>[10,6,12,7,1,4,9,3,8,2,5,11]
[12,6,10,4,1,7,11,5,2,8,3,9]=>[9,3,8,2,5,11,7,1,4,10,6,12]
[9,3,12,6,10,4,1,7,11,5,2,8]=>[8,2,5,11,7,1,4,10,6,12,3,9]
[10,5,12,6,2,8,4,1,7,3,9,11]=>[11,9,3,7,1,4,8,2,6,12,5,10]
[12,6,2,8,4,1,7,3,9,11,5,10]=>[10,5,11,9,3,7,1,4,8,2,6,12]
[9,4,1,7,3,10,5,12,6,2,8,11]=>[11,8,2,6,12,5,10,3,7,1,4,9]
[9,4,1,7,3,12,6,2,8,11,5,10]=>[10,5,11,8,2,6,12,3,7,1,4,9]
[12,6,2,8,11,5,10,4,1,7,3,9]=>[9,3,7,1,4,10,5,11,8,2,6,12]
[10,5,12,6,2,8,3,9,4,1,7,11]=>[11,7,1,4,9,3,8,2,6,12,5,10]
[12,6,2,8,3,9,4,1,7,11,5,10]=>[10,5,11,7,1,4,9,3,8,2,6,12]
[11,5,10,4,1,7,12,6,2,8,3,9]=>[9,3,8,2,6,12,7,1,4,10,5,11]
[9,3,11,5,10,4,1,7,12,6,2,8]=>[8,2,6,12,7,1,4,10,5,11,3,9]
[9,4,1,7,2,8,3,10,5,12,6,11]=>[11,6,12,5,10,3,8,2,7,1,4,9]
[9,4,1,7,2,8,3,12,6,11,5,10]=>[10,5,11,6,12,3,8,2,7,1,4,9]
[12,6,11,5,10,4,1,7,2,8,3,9]=>[9,3,8,2,7,1,4,10,5,11,6,12]
[9,3,12,6,11,5,10,4,1,7,2,8]=>[8,2,7,1,4,10,5,11,6,12,3,9]
[8,2,9,3,12,6,11,5,10,4,1,7]=>[7,1,4,10,5,11,6,12,3,9,2,8]
[12,6,2,8,4,10,5,1,7,3,9,11]=>[11,9,3,7,1,5,10,4,8,2,6,12]
[11,5,1,7,3,9,12,6,2,8,4,10]=>[10,4,8,2,6,12,9,3,7,1,5,11]
[10,5,1,7,3,9,4,12,6,2,8,11]=>[11,8,2,6,12,4,9,3,7,1,5,10]
[12,6,2,8,11,5,1,7,3,9,4,10]=>[10,4,9,3,7,1,5,11,8,2,6,12]
[10,4,12,6,2,8,11,5,1,7,3,9]=>[9,3,7,1,5,11,8,2,6,12,4,10]
[12,6,2,8,3,9,4,10,5,1,7,11]=>[11,7,1,5,10,4,9,3,8,2,6,12]
[11,5,1,7,12,6,2,8,3,9,4,10]=>[10,4,9,3,8,2,6,12,7,1,5,11]
[10,4,11,5,1,7,12,6,2,8,3,9]=>[9,3,8,2,6,12,7,1,5,11,4,10]
[9,3,10,4,11,5,1,7,12,6,2,8]=>[8,2,6,12,7,1,5,11,4,10,3,9]
[10,5,1,7,2,8,3,9,4,12,6,11]=>[11,6,12,4,9,3,8,2,7,1,5,10]
[12,6,11,5,1,7,2,8,3,9,4,10]=>[10,4,9,3,8,2,7,1,5,11,6,12]
[10,4,12,6,11,5,1,7,2,8,3,9]=>[9,3,8,2,7,1,5,11,6,12,4,10]
[9,3,10,4,12,6,11,5,1,7,2,8]=>[8,2,7,1,5,11,6,12,4,10,3,9]
[8,2,9,3,10,4,12,6,11,5,1,7]=>[7,1,5,11,6,12,4,10,3,9,2,8]
[11,5,12,6,1,7,2,8,3,9,4,10]=>[10,4,9,3,8,2,7,1,6,12,5,11]
[10,4,11,5,12,6,1,7,2,8,3,9]=>[9,3,8,2,7,1,6,12,5,11,4,10]
[9,3,10,4,11,5,12,6,1,7,2,8]=>[8,2,7,1,6,12,5,11,4,10,3,9]
[3,8,4,9,5,10,6,11,1,12,7,2]=>[2,7,12,1,11,6,10,5,9,4,8,3]
[3,8,4,9,5,10,1,6,2,11,12,7]=>[7,12,11,2,6,1,10,5,9,4,8,3]
[4,9,5,10,6,11,2,7,3,12,8,1]=>[1,8,12,3,7,2,11,6,10,5,9,4]
[5,9,6,10,7,11,1,2,12,8,4,3]=>[3,4,8,12,2,1,11,7,10,6,9,5]
[3,8,4,9,1,5,2,10,6,11,12,7]=>[7,12,11,6,10,2,5,1,9,4,8,3]
[5,9,6,10,1,2,7,11,3,12,8,4]=>[4,8,12,3,11,7,2,1,10,6,9,5]
[4,9,5,10,2,6,3,7,1,11,12,8]=>[8,12,11,1,7,3,6,2,10,5,9,4]
[5,10,6,11,3,1,7,8,4,12,9,2]=>[2,9,12,4,8,7,1,3,11,6,10,5]
[6,10,7,11,4,2,8,1,12,9,5,3]=>[3,5,9,12,1,8,2,4,11,7,10,6]
[5,9,6,10,1,2,7,4,3,11,12,8]=>[8,12,11,3,4,7,2,1,10,6,9,5]
[6,10,7,11,1,2,8,3,5,12,9,4]=>[4,9,12,5,3,8,2,1,11,7,10,6]
[7,10,8,11,3,1,5,4,12,9,6,2]=>[2,6,9,12,4,5,1,3,11,8,10,7]
[7,10,8,11,1,2,3,12,9,6,5,4]=>[4,5,6,9,12,3,2,1,11,8,10,7]
[3,8,1,4,2,9,5,10,6,11,12,7]=>[7,12,11,6,10,5,9,2,4,1,8,3]
[5,9,1,2,6,10,7,11,3,12,8,4]=>[4,8,12,3,11,7,10,6,2,1,9,5]
[5,9,1,2,6,10,3,7,4,11,12,8]=>[8,12,11,4,7,3,10,6,2,1,9,5]
[6,10,2,3,7,11,4,8,5,12,9,1]=>[1,9,12,5,8,4,11,7,3,2,10,6]
[7,10,4,5,8,11,1,2,12,9,6,3]=>[3,6,9,12,2,1,11,8,5,4,10,7]
[4,9,2,5,3,6,1,10,7,11,12,8]=>[8,12,11,7,10,1,6,3,5,2,9,4]
[6,10,2,3,7,1,8,11,4,12,9,5]=>[5,9,12,4,11,8,1,7,3,2,10,6]
[5,10,3,1,6,7,4,8,2,11,12,9]=>[9,12,11,2,8,4,7,6,1,3,10,5]
[6,11,4,1,7,2,8,9,5,12,10,3]=>[3,10,12,5,9,8,2,7,1,4,11,6]
[7,11,5,2,8,3,9,1,12,10,6,4]=>[4,6,10,12,1,9,3,8,2,5,11,7]
[6,10,4,2,7,1,8,5,3,11,12,9]=>[9,12,11,3,5,8,1,7,2,4,10,6]
[7,11,5,2,8,1,9,3,6,12,10,4]=>[4,10,12,6,3,9,1,8,2,5,11,7]
[8,11,5,1,9,2,6,4,12,10,7,3]=>[3,7,10,12,4,6,2,9,1,5,11,8]
[8,11,6,2,9,1,3,12,10,7,5,4]=>[4,5,7,10,12,3,1,9,2,6,11,8]
[5,9,1,2,6,4,3,10,7,11,12,8]=>[8,12,11,7,10,3,4,6,2,1,9,5]
[7,10,1,2,4,3,8,11,5,12,9,6]=>[6,9,12,5,11,8,3,4,2,1,10,7]
[6,10,1,2,7,3,5,8,4,11,12,9]=>[9,12,11,4,8,5,3,7,2,1,10,6]
[7,11,2,3,5,4,8,9,6,12,10,1]=>[1,10,12,6,9,8,4,5,3,2,11,7]
[8,11,3,4,6,5,9,1,12,10,7,2]=>[2,7,10,12,1,9,5,6,4,3,11,8]
[7,10,3,1,5,4,8,6,2,11,12,9]=>[9,12,11,2,6,8,4,5,1,3,10,7]
[8,11,3,1,4,6,9,2,7,12,10,5]=>[5,10,12,7,2,9,6,4,1,3,11,8]
[9,11,4,2,6,5,7,3,12,10,8,1]=>[1,8,10,12,3,7,5,6,2,4,11,9]
[9,11,5,1,3,7,2,12,10,8,6,4]=>[4,6,8,10,12,2,7,3,1,5,11,9]
[7,10,1,2,3,8,6,5,4,11,12,9]=>[9,12,11,4,5,6,8,3,2,1,10,7]
[8,11,1,2,3,9,5,4,7,12,10,6]=>[6,10,12,7,4,5,9,3,2,1,11,8]
[9,11,2,3,4,7,1,6,12,10,8,5]=>[5,8,10,12,6,1,7,4,3,2,11,9]
[9,11,4,1,2,6,5,12,10,8,7,3]=>[3,7,8,10,12,5,6,2,1,4,11,9]
[9,11,1,2,3,4,12,10,8,7,6,5]=>[5,6,7,8,10,12,4,3,2,1,11,9]
[1,3,2,8,4,9,5,10,6,11,12,7]=>[7,12,11,6,10,5,9,4,8,2,3,1]
[1,2,5,9,6,10,7,11,3,12,8,4]=>[4,8,12,3,11,7,10,6,9,5,2,1]
[1,2,5,9,6,10,3,7,4,11,12,8]=>[8,12,11,4,7,3,10,6,9,5,2,1]
[2,3,6,10,7,11,4,8,5,12,9,1]=>[1,9,12,5,8,4,11,7,10,6,3,2]
[4,5,7,10,8,11,1,2,12,9,6,3]=>[3,6,9,12,2,1,11,8,10,7,5,4]
[1,2,5,9,3,6,4,10,7,11,12,8]=>[8,12,11,7,10,4,6,3,9,5,2,1]
[1,2,7,10,3,4,8,11,5,12,9,6]=>[6,9,12,5,11,8,4,3,10,7,2,1]
[2,3,6,10,4,7,5,8,1,11,12,9]=>[9,12,11,1,8,5,7,4,10,6,3,2]
[3,4,7,11,5,1,8,9,6,12,10,2]=>[2,10,12,6,9,8,1,5,11,7,4,3]
[4,5,8,11,6,2,9,1,12,10,7,3]=>[3,7,10,12,1,9,2,6,11,8,5,4]
[4,5,7,10,1,2,8,6,3,11,12,9]=>[9,12,11,3,6,8,2,1,10,7,5,4]
[5,6,8,11,1,2,9,3,7,12,10,4]=>[4,10,12,7,3,9,2,1,11,8,6,5]
[5,6,9,11,3,1,7,4,12,10,8,2]=>[2,8,10,12,4,7,1,3,11,9,6,5]
[6,7,9,11,1,2,3,12,10,8,5,4]=>[4,5,8,10,12,3,2,1,11,9,7,6]
[2,4,3,5,1,9,6,10,7,11,12,8]=>[8,12,11,7,10,6,9,1,5,3,4,2]
[2,3,6,1,7,10,8,11,4,12,9,5]=>[5,9,12,4,11,8,10,7,1,6,3,2]
[2,3,6,1,7,10,4,8,5,11,12,9]=>[9,12,11,5,8,4,10,7,1,6,3,2]
[3,1,7,4,8,11,5,9,6,12,10,2]=>[2,10,12,6,9,5,11,8,4,7,1,3]
[5,1,8,6,9,11,2,3,12,10,7,4]=>[4,7,10,12,3,2,11,9,6,8,1,5]
[3,1,5,6,4,7,2,10,8,11,12,9]=>[9,12,11,8,10,2,7,4,6,5,1,3]
[3,1,7,4,8,2,9,11,5,12,10,6]=>[6,10,12,5,11,9,2,8,4,7,1,3]
[4,1,6,2,7,8,5,9,3,11,12,10]=>[10,12,11,3,9,5,8,7,2,6,1,4]
[5,1,7,2,8,3,9,10,6,12,11,4]=>[4,11,12,6,10,9,3,8,2,7,1,5]
[6,2,8,3,9,4,10,1,12,11,7,5]=>[5,7,11,12,1,10,4,9,3,8,2,6]
[5,2,7,3,8,1,9,6,4,11,12,10]=>[10,12,11,4,6,9,1,8,3,7,2,5]
[6,2,8,3,9,1,10,4,7,12,11,5]=>[5,11,12,7,4,10,1,9,3,8,2,6]
[6,4,9,1,10,2,7,5,12,11,8,3]=>[3,8,11,12,5,7,2,10,1,9,4,6]
[7,5,9,2,10,1,3,12,11,8,6,4]=>[4,6,8,11,12,3,1,10,2,9,5,7]
[4,2,6,1,7,5,3,10,8,11,12,9]=>[9,12,11,8,10,3,5,7,1,6,2,4]
[4,2,8,1,5,3,9,11,6,12,10,7]=>[7,10,12,6,11,9,3,5,1,8,2,4]
[5,2,7,1,8,3,6,9,4,11,12,10]=>[10,12,11,4,9,6,3,8,1,7,2,5]
[5,1,8,3,6,4,9,10,7,12,11,2]=>[2,11,12,7,10,9,4,6,3,8,1,5]
[6,1,9,4,7,5,10,2,12,11,8,3]=>[3,8,11,12,2,10,5,7,4,9,1,6]
[5,1,8,2,6,4,9,7,3,11,12,10]=>[10,12,11,3,7,9,4,6,2,8,1,5]
[6,1,9,2,4,7,10,3,8,12,11,5]=>[5,11,12,8,3,10,7,4,2,9,1,6]
[6,2,10,3,7,5,8,4,12,11,9,1]=>[1,9,11,12,4,8,5,7,3,10,2,6]
[7,3,10,1,4,8,2,12,11,9,6,5]=>[5,6,9,11,12,2,8,4,1,10,3,7]
[6,2,8,1,3,9,7,5,4,11,12,10]=>[10,12,11,4,5,7,9,3,1,8,2,6]
[7,2,9,1,3,10,5,4,8,12,11,6]=>[6,11,12,8,4,5,10,3,1,9,2,7]
[7,1,10,3,4,8,2,6,12,11,9,5]=>[5,9,11,12,6,2,8,4,3,10,1,7]
[8,1,10,2,3,6,5,12,11,9,7,4]=>[4,7,9,11,12,5,6,3,2,10,1,8]
[8,2,10,1,3,4,12,11,9,7,6,5]=>[5,6,7,9,11,12,4,3,1,10,2,8]
[1,2,5,4,3,9,6,10,7,11,12,8]=>[8,12,11,7,10,6,9,3,4,5,2,1]
[1,2,4,3,7,10,8,11,5,12,9,6]=>[6,9,12,5,11,8,10,7,3,4,2,1]
[1,2,4,3,7,10,5,8,6,11,12,9]=>[9,12,11,6,8,5,10,7,3,4,2,1]
[1,2,3,5,8,11,6,9,7,12,10,4]=>[4,10,12,7,9,6,11,8,5,3,2,1]
[1,2,3,7,9,11,4,5,12,10,8,6]=>[6,8,10,12,5,4,11,9,7,3,2,1]
[1,2,6,3,5,7,4,10,8,11,12,9]=>[9,12,11,8,10,4,7,5,3,6,2,1]
[1,2,5,3,8,4,9,11,6,12,10,7]=>[7,10,12,6,11,9,4,8,3,5,2,1]
[2,3,5,4,7,8,6,9,1,11,12,10]=>[10,12,11,1,9,6,8,7,4,5,3,2]
[2,3,4,6,8,1,9,10,7,12,11,5]=>[5,11,12,7,10,9,1,8,6,4,3,2]
[3,4,1,7,9,5,10,2,12,11,8,6]=>[6,8,11,12,2,10,5,9,7,1,4,3]
[3,4,6,5,8,1,9,7,2,11,12,10]=>[10,12,11,2,7,9,1,8,5,6,4,3]
[3,4,5,7,9,1,10,2,8,12,11,6]=>[6,11,12,8,2,10,1,9,7,5,4,3]
[4,5,2,7,10,1,8,6,12,11,9,3]=>[3,9,11,12,6,8,1,10,7,2,5,4]
[5,6,3,8,10,1,2,12,11,9,7,4]=>[4,7,9,11,12,2,1,10,8,3,6,5]
[3,1,5,4,7,6,2,10,8,11,12,9]=>[9,12,11,8,10,2,6,7,4,5,1,3]
[3,1,5,4,6,2,9,11,7,12,10,8]=>[8,10,12,7,11,9,2,6,4,5,1,3]
[3,1,4,6,8,2,7,9,5,11,12,10]=>[10,12,11,5,9,7,2,8,6,4,1,3]
[4,1,2,6,7,5,9,10,8,12,11,3]=>[3,11,12,8,10,9,5,7,6,2,1,4]
[5,1,2,7,8,6,10,3,12,11,9,4]=>[4,9,11,12,3,10,6,8,7,2,1,5]
[4,2,6,5,7,3,9,8,1,11,12,10]=>[10,12,11,1,8,9,3,7,5,6,2,4]
[4,2,5,7,3,8,10,1,9,12,11,6]=>[6,11,12,9,1,10,8,3,7,5,2,4]
[5,3,1,7,8,6,9,4,12,11,10,2]=>[2,10,11,12,4,9,6,8,7,1,3,5]
[6,3,4,8,2,9,1,12,11,10,7,5]=>[5,7,10,11,12,1,9,2,8,4,3,6]
[5,1,3,7,2,9,8,6,4,11,12,10]=>[10,12,11,4,6,8,9,2,7,3,1,5]
[5,1,3,8,2,10,6,4,9,12,11,7]=>[7,11,12,9,4,6,10,2,8,3,1,5]
[6,1,2,8,4,9,3,7,12,11,10,5]=>[5,10,11,12,7,3,9,4,8,2,1,6]
[6,2,3,9,1,7,5,12,11,10,8,4]=>[4,8,10,11,12,5,7,1,9,3,2,6]
[7,1,3,9,2,4,12,11,10,8,6,5]=>[5,6,8,10,11,12,4,2,9,3,1,7]
[1,2,3,7,6,5,4,10,8,11,12,9]=>[9,12,11,8,10,4,5,6,7,3,2,1]
[1,2,3,6,5,4,9,11,7,12,10,8]=>[8,10,12,7,11,9,4,5,6,3,2,1]
[1,2,3,8,5,4,7,9,6,11,12,10]=>[10,12,11,6,9,7,4,5,8,3,2,1]
[1,2,3,7,4,6,9,10,8,12,11,5]=>[5,11,12,8,10,9,6,4,7,3,2,1]
[1,2,3,8,4,7,10,5,12,11,9,6]=>[6,9,11,12,5,10,7,4,8,3,2,1]
[2,3,4,7,1,6,9,8,5,11,12,10]=>[10,12,11,5,8,9,6,1,7,4,3,2]
[2,3,4,6,1,8,10,5,9,12,11,7]=>[7,11,12,9,5,10,8,1,6,4,3,2]
[3,4,1,8,5,7,9,6,12,11,10,2]=>[2,10,11,12,6,9,7,5,8,1,4,3]
[4,5,2,7,6,9,1,12,11,10,8,3]=>[3,8,10,11,12,1,9,6,7,2,5,4]
[4,1,2,6,5,9,8,7,3,11,12,10]=>[10,12,11,3,7,8,9,5,6,2,1,4]
[4,1,2,6,5,10,7,3,9,12,11,8]=>[8,11,12,9,3,7,10,5,6,2,1,4]
[5,1,2,7,6,9,3,8,12,11,10,4]=>[4,10,11,12,8,3,9,6,7,2,1,5]
[5,3,1,7,6,8,4,12,11,10,9,2]=>[2,9,10,11,12,4,8,6,7,1,3,5]
[6,1,2,4,8,3,12,11,10,9,7,5]=>[5,7,9,10,11,12,3,8,4,2,1,6]
[1,2,3,4,9,8,7,6,5,11,12,10]=>[10,12,11,5,6,7,8,9,4,3,2,1]
[1,2,3,4,10,7,6,5,9,12,11,8]=>[8,11,12,9,5,6,7,10,4,3,2,1]
[2,3,4,6,9,5,1,8,12,11,10,7]=>[7,10,11,12,8,1,5,9,6,4,3,2]
[3,4,1,5,8,2,7,12,11,10,9,6]=>[6,9,10,11,12,7,2,8,5,1,4,3]
[5,1,2,3,7,6,12,11,10,9,8,4]=>[4,8,9,10,11,12,6,7,3,2,1,5]
[12,11,10,9,7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7,9,10,11,12]
[11,10,9,8,12,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,12,8,9,10,11]
[11,10,12,9,7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7,9,12,10,11]
[12,11,9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9,11,12]
[11,10,9,8,12,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,12,8,9,10,11]
[11,10,12,9,7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7,9,12,10,11]
[4,3,6,5,8,7,10,9,12,11,1,2]=>[2,1,11,12,9,10,7,8,5,6,3,4]
[4,3,6,5,8,7,11,9,10,1,12,2]=>[2,12,1,10,9,11,7,8,5,6,3,4]
[4,3,6,5,9,7,8,10,12,11,1,2]=>[2,1,11,12,10,8,7,9,5,6,3,4]
[4,3,6,5,9,7,8,11,10,1,12,2]=>[2,12,1,10,11,8,7,9,5,6,3,4]
[4,3,6,5,10,7,8,9,1,11,12,2]=>[2,12,11,1,9,8,7,10,5,6,3,4]
[4,3,7,5,6,8,10,9,12,11,1,2]=>[2,1,11,12,9,10,8,6,5,7,3,4]
[4,3,7,5,6,8,11,9,10,1,12,2]=>[2,12,1,10,9,11,8,6,5,7,3,4]
[4,3,7,5,6,9,8,10,12,11,1,2]=>[2,1,11,12,10,8,9,6,5,7,3,4]
[4,3,7,5,6,9,8,11,10,1,12,2]=>[2,12,1,10,11,8,9,6,5,7,3,4]
[4,3,7,5,6,10,8,9,1,11,12,2]=>[2,12,11,1,9,8,10,6,5,7,3,4]
[4,3,8,5,6,7,9,10,12,11,1,2]=>[2,1,11,12,10,9,7,6,5,8,3,4]
[4,3,8,5,6,7,9,11,10,1,12,2]=>[2,12,1,10,11,9,7,6,5,8,3,4]
[4,3,8,5,6,7,10,9,1,11,12,2]=>[2,12,11,1,9,10,7,6,5,8,3,4]
[4,3,9,5,6,7,8,1,10,11,12,2]=>[2,12,11,10,1,8,7,6,5,9,3,4]
[5,3,4,6,8,7,10,9,12,11,1,2]=>[2,1,11,12,9,10,7,8,6,4,3,5]
[5,3,4,6,8,7,11,9,10,1,12,2]=>[2,12,1,10,9,11,7,8,6,4,3,5]
[5,3,4,6,9,7,8,10,12,11,1,2]=>[2,1,11,12,10,8,7,9,6,4,3,5]
[5,3,4,6,9,7,8,11,10,1,12,2]=>[2,12,1,10,11,8,7,9,6,4,3,5]
[5,3,4,6,10,7,8,9,1,11,12,2]=>[2,12,11,1,9,8,7,10,6,4,3,5]
[5,3,4,7,6,8,10,9,12,11,1,2]=>[2,1,11,12,9,10,8,6,7,4,3,5]
[5,3,4,7,6,8,11,9,10,1,12,2]=>[2,12,1,10,9,11,8,6,7,4,3,5]
[5,3,4,7,6,9,8,10,12,11,1,2]=>[2,1,11,12,10,8,9,6,7,4,3,5]
[5,3,4,7,6,9,8,11,10,1,12,2]=>[2,12,1,10,11,8,9,6,7,4,3,5]
[5,3,4,7,6,10,8,9,1,11,12,2]=>[2,12,11,1,9,8,10,6,7,4,3,5]
[5,3,4,8,6,7,9,10,12,11,1,2]=>[2,1,11,12,10,9,7,6,8,4,3,5]
[5,3,4,8,6,7,9,11,10,1,12,2]=>[2,12,1,10,11,9,7,6,8,4,3,5]
[5,3,4,8,6,7,10,9,1,11,12,2]=>[2,12,11,1,9,10,7,6,8,4,3,5]
[5,3,4,9,6,7,8,1,10,11,12,2]=>[2,12,11,10,1,8,7,6,9,4,3,5]
[6,3,4,5,7,8,10,9,12,11,1,2]=>[2,1,11,12,9,10,8,7,5,4,3,6]
[6,3,4,5,7,8,11,9,10,1,12,2]=>[2,12,1,10,9,11,8,7,5,4,3,6]
[6,3,4,5,7,9,8,10,12,11,1,2]=>[2,1,11,12,10,8,9,7,5,4,3,6]
[6,3,4,5,7,9,8,11,10,1,12,2]=>[2,12,1,10,11,8,9,7,5,4,3,6]
[6,3,4,5,7,10,8,9,1,11,12,2]=>[2,12,11,1,9,8,10,7,5,4,3,6]
[6,3,4,5,8,7,9,10,12,11,1,2]=>[2,1,11,12,10,9,7,8,5,4,3,6]
[6,3,4,5,8,7,9,11,10,1,12,2]=>[2,12,1,10,11,9,7,8,5,4,3,6]
[6,3,4,5,8,7,10,9,1,11,12,2]=>[2,12,11,1,9,10,7,8,5,4,3,6]
[6,3,4,5,9,7,8,1,10,11,12,2]=>[2,12,11,10,1,8,7,9,5,4,3,6]
[7,3,4,5,6,8,9,10,12,11,1,2]=>[2,1,11,12,10,9,8,6,5,4,3,7]
[7,3,4,5,6,8,9,11,10,1,12,2]=>[2,12,1,10,11,9,8,6,5,4,3,7]
[7,3,4,5,6,8,10,9,1,11,12,2]=>[2,12,11,1,9,10,8,6,5,4,3,7]
[7,3,4,5,6,9,8,1,10,11,12,2]=>[2,12,11,10,1,8,9,6,5,4,3,7]
[8,3,4,5,6,7,1,9,10,11,12,2]=>[2,12,11,10,9,1,7,6,5,4,3,8]
[2,4,6,5,8,7,10,9,12,11,1,3]=>[3,1,11,12,9,10,7,8,5,6,4,2]
[2,4,6,5,8,7,11,9,10,1,12,3]=>[3,12,1,10,9,11,7,8,5,6,4,2]
[2,4,6,5,9,7,8,10,12,11,1,3]=>[3,1,11,12,10,8,7,9,5,6,4,2]
[2,4,6,5,9,7,8,11,10,1,12,3]=>[3,12,1,10,11,8,7,9,5,6,4,2]
[2,4,6,5,10,7,8,9,1,11,12,3]=>[3,12,11,1,9,8,7,10,5,6,4,2]
[2,4,7,5,6,8,10,9,12,11,1,3]=>[3,1,11,12,9,10,8,6,5,7,4,2]
[2,4,7,5,6,8,11,9,10,1,12,3]=>[3,12,1,10,9,11,8,6,5,7,4,2]
[2,4,7,5,6,9,8,10,12,11,1,3]=>[3,1,11,12,10,8,9,6,5,7,4,2]
[2,4,7,5,6,9,8,11,10,1,12,3]=>[3,12,1,10,11,8,9,6,5,7,4,2]
[2,4,7,5,6,10,8,9,1,11,12,3]=>[3,12,11,1,9,8,10,6,5,7,4,2]
[2,4,8,5,6,7,9,10,12,11,1,3]=>[3,1,11,12,10,9,7,6,5,8,4,2]
[2,4,8,5,6,7,9,11,10,1,12,3]=>[3,12,1,10,11,9,7,6,5,8,4,2]
[2,4,8,5,6,7,10,9,1,11,12,3]=>[3,12,11,1,9,10,7,6,5,8,4,2]
[2,4,9,5,6,7,8,1,10,11,12,3]=>[3,12,11,10,1,8,7,6,5,9,4,2]
[2,5,4,6,8,7,10,9,12,11,1,3]=>[3,1,11,12,9,10,7,8,6,4,5,2]
[2,5,4,6,8,7,11,9,10,1,12,3]=>[3,12,1,10,9,11,7,8,6,4,5,2]
[2,5,4,6,9,7,8,10,12,11,1,3]=>[3,1,11,12,10,8,7,9,6,4,5,2]
[2,5,4,6,9,7,8,11,10,1,12,3]=>[3,12,1,10,11,8,7,9,6,4,5,2]
[2,5,4,6,10,7,8,9,1,11,12,3]=>[3,12,11,1,9,8,7,10,6,4,5,2]
[2,5,4,7,6,8,10,9,12,11,1,3]=>[3,1,11,12,9,10,8,6,7,4,5,2]
[2,5,4,7,6,8,11,9,10,1,12,3]=>[3,12,1,10,9,11,8,6,7,4,5,2]
[2,5,4,7,6,9,8,10,12,11,1,3]=>[3,1,11,12,10,8,9,6,7,4,5,2]
[2,5,4,7,6,9,8,11,10,1,12,3]=>[3,12,1,10,11,8,9,6,7,4,5,2]
[2,5,4,7,6,10,8,9,1,11,12,3]=>[3,12,11,1,9,8,10,6,7,4,5,2]
[2,5,4,8,6,7,9,10,12,11,1,3]=>[3,1,11,12,10,9,7,6,8,4,5,2]
[2,5,4,8,6,7,9,11,10,1,12,3]=>[3,12,1,10,11,9,7,6,8,4,5,2]
[2,5,4,8,6,7,10,9,1,11,12,3]=>[3,12,11,1,9,10,7,6,8,4,5,2]
[2,5,4,9,6,7,8,1,10,11,12,3]=>[3,12,11,10,1,8,7,6,9,4,5,2]
[2,6,4,5,7,8,10,9,12,11,1,3]=>[3,1,11,12,9,10,8,7,5,4,6,2]
[2,6,4,5,7,8,11,9,10,1,12,3]=>[3,12,1,10,9,11,8,7,5,4,6,2]
[2,6,4,5,7,9,8,10,12,11,1,3]=>[3,1,11,12,10,8,9,7,5,4,6,2]
[2,6,4,5,7,9,8,11,10,1,12,3]=>[3,12,1,10,11,8,9,7,5,4,6,2]
[2,6,4,5,7,10,8,9,1,11,12,3]=>[3,12,11,1,9,8,10,7,5,4,6,2]
[2,6,4,5,8,7,9,10,12,11,1,3]=>[3,1,11,12,10,9,7,8,5,4,6,2]
[2,6,4,5,8,7,9,11,10,1,12,3]=>[3,12,1,10,11,9,7,8,5,4,6,2]
[2,6,4,5,8,7,10,9,1,11,12,3]=>[3,12,11,1,9,10,7,8,5,4,6,2]
[2,6,4,5,9,7,8,1,10,11,12,3]=>[3,12,11,10,1,8,7,9,5,4,6,2]
[2,7,4,5,6,8,9,10,12,11,1,3]=>[3,1,11,12,10,9,8,6,5,4,7,2]
[2,7,4,5,6,8,9,11,10,1,12,3]=>[3,12,1,10,11,9,8,6,5,4,7,2]
[2,7,4,5,6,8,10,9,1,11,12,3]=>[3,12,11,1,9,10,8,6,5,4,7,2]
[2,7,4,5,6,9,8,1,10,11,12,3]=>[3,12,11,10,1,8,9,6,5,4,7,2]
[2,8,4,5,6,7,1,9,10,11,12,3]=>[3,12,11,10,9,1,7,6,5,4,8,2]
[2,3,5,6,8,7,10,9,12,11,1,4]=>[4,1,11,12,9,10,7,8,6,5,3,2]
[2,3,5,6,8,7,11,9,10,1,12,4]=>[4,12,1,10,9,11,7,8,6,5,3,2]
[2,3,5,6,9,7,8,10,12,11,1,4]=>[4,1,11,12,10,8,7,9,6,5,3,2]
[2,3,5,6,9,7,8,11,10,1,12,4]=>[4,12,1,10,11,8,7,9,6,5,3,2]
[2,3,5,6,10,7,8,9,1,11,12,4]=>[4,12,11,1,9,8,7,10,6,5,3,2]
[2,3,5,7,6,8,10,9,12,11,1,4]=>[4,1,11,12,9,10,8,6,7,5,3,2]
[2,3,5,7,6,8,11,9,10,1,12,4]=>[4,12,1,10,9,11,8,6,7,5,3,2]
[2,3,5,7,6,9,8,10,12,11,1,4]=>[4,1,11,12,10,8,9,6,7,5,3,2]
[2,3,5,7,6,9,8,11,10,1,12,4]=>[4,12,1,10,11,8,9,6,7,5,3,2]
[2,3,5,7,6,10,8,9,1,11,12,4]=>[4,12,11,1,9,8,10,6,7,5,3,2]
[2,3,5,8,6,7,9,10,12,11,1,4]=>[4,1,11,12,10,9,7,6,8,5,3,2]
[2,3,5,8,6,7,9,11,10,1,12,4]=>[4,12,1,10,11,9,7,6,8,5,3,2]
[2,3,5,8,6,7,10,9,1,11,12,4]=>[4,12,11,1,9,10,7,6,8,5,3,2]
[2,3,5,9,6,7,8,1,10,11,12,4]=>[4,12,11,10,1,8,7,6,9,5,3,2]
[2,3,6,5,7,8,10,9,12,11,1,4]=>[4,1,11,12,9,10,8,7,5,6,3,2]
[2,3,6,5,7,8,11,9,10,1,12,4]=>[4,12,1,10,9,11,8,7,5,6,3,2]
[2,3,6,5,7,9,8,10,12,11,1,4]=>[4,1,11,12,10,8,9,7,5,6,3,2]
[2,3,6,5,7,9,8,11,10,1,12,4]=>[4,12,1,10,11,8,9,7,5,6,3,2]
[2,3,6,5,7,10,8,9,1,11,12,4]=>[4,12,11,1,9,8,10,7,5,6,3,2]
[2,3,6,5,8,7,9,10,12,11,1,4]=>[4,1,11,12,10,9,7,8,5,6,3,2]
[2,3,6,5,8,7,9,11,10,1,12,4]=>[4,12,1,10,11,9,7,8,5,6,3,2]
[2,3,6,5,8,7,10,9,1,11,12,4]=>[4,12,11,1,9,10,7,8,5,6,3,2]
[2,3,6,5,9,7,8,1,10,11,12,4]=>[4,12,11,10,1,8,7,9,5,6,3,2]
[2,3,7,5,6,8,9,10,12,11,1,4]=>[4,1,11,12,10,9,8,6,5,7,3,2]
[2,3,7,5,6,8,9,11,10,1,12,4]=>[4,12,1,10,11,9,8,6,5,7,3,2]
[2,3,7,5,6,8,10,9,1,11,12,4]=>[4,12,11,1,9,10,8,6,5,7,3,2]
[2,3,7,5,6,9,8,1,10,11,12,4]=>[4,12,11,10,1,8,9,6,5,7,3,2]
[2,3,8,5,6,7,1,9,10,11,12,4]=>[4,12,11,10,9,1,7,6,5,8,3,2]
[2,3,4,6,7,8,10,9,12,11,1,5]=>[5,1,11,12,9,10,8,7,6,4,3,2]
[2,3,4,6,7,8,11,9,10,1,12,5]=>[5,12,1,10,9,11,8,7,6,4,3,2]
[2,3,4,6,7,9,8,10,12,11,1,5]=>[5,1,11,12,10,8,9,7,6,4,3,2]
[2,3,4,6,7,9,8,11,10,1,12,5]=>[5,12,1,10,11,8,9,7,6,4,3,2]
[2,3,4,6,7,10,8,9,1,11,12,5]=>[5,12,11,1,9,8,10,7,6,4,3,2]
[2,3,4,6,8,7,9,10,12,11,1,5]=>[5,1,11,12,10,9,7,8,6,4,3,2]
[2,3,4,6,8,7,9,11,10,1,12,5]=>[5,12,1,10,11,9,7,8,6,4,3,2]
[2,3,4,6,8,7,10,9,1,11,12,5]=>[5,12,11,1,9,10,7,8,6,4,3,2]
[2,3,4,6,9,7,8,1,10,11,12,5]=>[5,12,11,10,1,8,7,9,6,4,3,2]
[2,3,4,7,6,8,9,10,12,11,1,5]=>[5,1,11,12,10,9,8,6,7,4,3,2]
[2,3,4,7,6,8,9,11,10,1,12,5]=>[5,12,1,10,11,9,8,6,7,4,3,2]
[2,3,4,7,6,8,10,9,1,11,12,5]=>[5,12,11,1,9,10,8,6,7,4,3,2]
[2,3,4,7,6,9,8,1,10,11,12,5]=>[5,12,11,10,1,8,9,6,7,4,3,2]
[2,3,4,8,6,7,1,9,10,11,12,5]=>[5,12,11,10,9,1,7,6,8,4,3,2]
[2,3,4,5,7,8,9,10,12,11,1,6]=>[6,1,11,12,10,9,8,7,5,4,3,2]
[2,3,4,5,7,8,9,11,10,1,12,6]=>[6,12,1,10,11,9,8,7,5,4,3,2]
[2,3,4,5,7,8,10,9,1,11,12,6]=>[6,12,11,1,9,10,8,7,5,4,3,2]
[2,3,4,5,7,9,8,1,10,11,12,6]=>[6,12,11,10,1,8,9,7,5,4,3,2]
[2,3,4,5,8,7,1,9,10,11,12,6]=>[6,12,11,10,9,1,7,8,5,4,3,2]
[6,7,8,9,1,12,2,3,4,5,10,11]=>[11,10,5,4,3,2,12,1,9,8,7,6]
[6,7,8,2,11,12,1,3,4,5,9,10]=>[10,9,5,4,3,1,12,11,2,8,7,6]
[6,7,8,10,1,12,2,3,4,5,9,11]=>[11,9,5,4,3,2,12,1,10,8,7,6]
[5,6,7,1,2,12,3,4,8,9,10,11]=>[11,10,9,8,4,3,12,2,1,7,6,5]
[6,7,3,10,11,12,1,2,4,5,8,9]=>[9,8,5,4,2,1,12,11,10,3,7,6]
[5,6,2,9,1,12,3,4,7,8,10,11]=>[11,10,8,7,4,3,12,1,9,2,6,5]
[6,7,9,2,11,12,1,3,4,5,8,10]=>[10,8,5,4,3,1,12,11,2,9,7,6]
[6,7,9,10,1,12,2,3,4,5,8,11]=>[11,8,5,4,3,2,12,1,10,9,7,6]
[5,6,8,1,2,12,3,4,7,9,10,11]=>[11,10,9,7,4,3,12,2,1,8,6,5]
[5,6,2,3,11,12,1,4,7,8,9,10]=>[10,9,8,7,4,1,12,11,3,2,6,5]
[5,6,2,10,1,12,3,4,7,8,9,11]=>[11,9,8,7,4,3,12,1,10,2,6,5]
[5,6,9,1,2,12,3,4,7,8,10,11]=>[11,10,8,7,4,3,12,2,1,9,6,5]
[4,5,1,2,3,12,6,7,8,9,10,11]=>[11,10,9,8,7,6,12,3,2,1,5,4]
[6,4,9,10,11,12,1,2,3,5,7,8]=>[8,7,5,3,2,1,12,11,10,9,4,6]
[5,3,8,9,1,12,2,4,6,7,10,11]=>[11,10,7,6,4,2,12,1,9,8,3,5]
[5,3,8,2,11,12,1,4,6,7,9,10]=>[10,9,7,6,4,1,12,11,2,8,3,5]
[5,3,8,10,1,12,2,4,6,7,9,11]=>[11,9,7,6,4,2,12,1,10,8,3,5]
[4,2,7,1,3,12,5,6,8,9,10,11]=>[11,10,9,8,6,5,12,3,1,7,2,4]
[6,8,3,10,11,12,1,2,4,5,7,9]=>[9,7,5,4,2,1,12,11,10,3,8,6]
[5,7,2,9,1,12,3,4,6,8,10,11]=>[11,10,8,6,4,3,12,1,9,2,7,5]
[6,8,9,2,11,12,1,3,4,5,7,10]=>[10,7,5,4,3,1,12,11,2,9,8,6]
[6,8,9,10,1,12,2,3,4,5,7,11]=>[11,7,5,4,3,2,12,1,10,9,8,6]
[5,7,8,1,2,12,3,4,6,9,10,11]=>[11,10,9,6,4,3,12,2,1,8,7,5]
[5,7,2,3,11,12,1,4,6,8,9,10]=>[10,9,8,6,4,1,12,11,3,2,7,5]
[5,7,2,10,1,12,3,4,6,8,9,11]=>[11,9,8,6,4,3,12,1,10,2,7,5]
[5,7,9,1,2,12,3,4,6,8,10,11]=>[11,10,8,6,4,3,12,2,1,9,7,5]
[4,6,1,2,3,12,5,7,8,9,10,11]=>[11,10,9,8,7,5,12,3,2,1,6,4]
[5,3,4,10,11,12,1,2,6,7,8,9]=>[9,8,7,6,2,1,12,11,10,4,3,5]
[4,2,3,9,1,12,5,6,7,8,10,11]=>[11,10,8,7,6,5,12,1,9,3,2,4]
[5,3,9,2,11,12,1,4,6,7,8,10]=>[10,8,7,6,4,1,12,11,2,9,3,5]
[5,3,9,10,1,12,2,4,6,7,8,11]=>[11,8,7,6,4,2,12,1,10,9,3,5]
[4,2,8,1,3,12,5,6,7,9,10,11]=>[11,10,9,7,6,5,12,3,1,8,2,4]
[5,8,2,3,11,12,1,4,6,7,9,10]=>[10,9,7,6,4,1,12,11,3,2,8,5]
[5,8,2,10,1,12,3,4,6,7,9,11]=>[11,9,7,6,4,3,12,1,10,2,8,5]
[5,8,9,1,2,12,3,4,6,7,10,11]=>[11,10,7,6,4,3,12,2,1,9,8,5]
[4,7,1,2,3,12,5,6,8,9,10,11]=>[11,10,9,8,6,5,12,3,2,1,7,4]
[4,2,3,5,11,12,1,6,7,8,9,10]=>[10,9,8,7,6,1,12,11,5,3,2,4]
[4,2,3,10,1,12,5,6,7,8,9,11]=>[11,9,8,7,6,5,12,1,10,3,2,4]
[4,2,9,1,3,12,5,6,7,8,10,11]=>[11,10,8,7,6,5,12,3,1,9,2,4]
[4,8,1,2,3,12,5,6,7,9,10,11]=>[11,10,9,7,6,5,12,3,2,1,8,4]
[3,1,2,4,5,12,6,7,8,9,10,11]=>[11,10,9,8,7,6,12,5,4,2,1,3]
[4,7,8,9,1,12,2,3,5,6,10,11]=>[11,10,6,5,3,2,12,1,9,8,7,4]
[4,7,8,2,11,12,1,3,5,6,9,10]=>[10,9,6,5,3,1,12,11,2,8,7,4]
[4,7,8,10,1,12,2,3,5,6,9,11]=>[11,9,6,5,3,2,12,1,10,8,7,4]
[3,6,7,1,2,12,4,5,8,9,10,11]=>[11,10,9,8,5,4,12,2,1,7,6,3]
[4,7,3,10,11,12,1,2,5,6,8,9]=>[9,8,6,5,2,1,12,11,10,3,7,4]
[3,6,2,9,1,12,4,5,7,8,10,11]=>[11,10,8,7,5,4,12,1,9,2,6,3]
[4,7,9,2,11,12,1,3,5,6,8,10]=>[10,8,6,5,3,1,12,11,2,9,7,4]
[4,7,9,10,1,12,2,3,5,6,8,11]=>[11,8,6,5,3,2,12,1,10,9,7,4]
[3,6,8,1,2,12,4,5,7,9,10,11]=>[11,10,9,7,5,4,12,2,1,8,6,3]
[3,6,2,4,11,12,1,5,7,8,9,10]=>[10,9,8,7,5,1,12,11,4,2,6,3]
[3,6,2,10,1,12,4,5,7,8,9,11]=>[11,9,8,7,5,4,12,1,10,2,6,3]
[3,6,9,1,2,12,4,5,7,8,10,11]=>[11,10,8,7,5,4,12,2,1,9,6,3]
[2,5,1,3,4,12,6,7,8,9,10,11]=>[11,10,9,8,7,6,12,4,3,1,5,2]
[7,4,9,10,11,12,1,2,3,5,6,8]=>[8,6,5,3,2,1,12,11,10,9,4,7]
[6,3,8,9,1,12,2,4,5,7,10,11]=>[11,10,7,5,4,2,12,1,9,8,3,6]
[6,3,8,2,11,12,1,4,5,7,9,10]=>[10,9,7,5,4,1,12,11,2,8,3,6]
[6,3,8,10,1,12,2,4,5,7,9,11]=>[11,9,7,5,4,2,12,1,10,8,3,6]
[5,2,7,1,3,12,4,6,8,9,10,11]=>[11,10,9,8,6,4,12,3,1,7,2,5]
[7,8,3,10,11,12,1,2,4,5,6,9]=>[9,6,5,4,2,1,12,11,10,3,8,7]
[6,7,2,9,1,12,3,4,5,8,10,11]=>[11,10,8,5,4,3,12,1,9,2,7,6]
[7,8,9,2,11,12,1,3,4,5,6,10]=>[10,6,5,4,3,1,12,11,2,9,8,7]
[7,8,9,10,1,12,2,3,4,5,6,11]=>[11,6,5,4,3,2,12,1,10,9,8,7]
[6,7,8,1,2,12,3,4,5,9,10,11]=>[11,10,9,5,4,3,12,2,1,8,7,6]
[6,7,2,3,11,12,1,4,5,8,9,10]=>[10,9,8,5,4,1,12,11,3,2,7,6]
[6,7,2,10,1,12,3,4,5,8,9,11]=>[11,9,8,5,4,3,12,1,10,2,7,6]
[6,7,9,1,2,12,3,4,5,8,10,11]=>[11,10,8,5,4,3,12,2,1,9,7,6]
[5,6,1,2,3,12,4,7,8,9,10,11]=>[11,10,9,8,7,4,12,3,2,1,6,5]
[6,3,4,10,11,12,1,2,5,7,8,9]=>[9,8,7,5,2,1,12,11,10,4,3,6]
[5,2,3,9,1,12,4,6,7,8,10,11]=>[11,10,8,7,6,4,12,1,9,3,2,5]
[6,3,9,2,11,12,1,4,5,7,8,10]=>[10,8,7,5,4,1,12,11,2,9,3,6]
[6,3,9,10,1,12,2,4,5,7,8,11]=>[11,8,7,5,4,2,12,1,10,9,3,6]
[5,2,8,1,3,12,4,6,7,9,10,11]=>[11,10,9,7,6,4,12,3,1,8,2,5]
[6,8,2,3,11,12,1,4,5,7,9,10]=>[10,9,7,5,4,1,12,11,3,2,8,6]
[6,8,2,10,1,12,3,4,5,7,9,11]=>[11,9,7,5,4,3,12,1,10,2,8,6]
[6,8,9,1,2,12,3,4,5,7,10,11]=>[11,10,7,5,4,3,12,2,1,9,8,6]
[5,7,1,2,3,12,4,6,8,9,10,11]=>[11,10,9,8,6,4,12,3,2,1,7,5]
[5,2,3,4,11,12,1,6,7,8,9,10]=>[10,9,8,7,6,1,12,11,4,3,2,5]
[5,2,3,10,1,12,4,6,7,8,9,11]=>[11,9,8,7,6,4,12,1,10,3,2,5]
[5,2,9,1,3,12,4,6,7,8,10,11]=>[11,10,8,7,6,4,12,3,1,9,2,5]
[5,8,1,2,3,12,4,6,7,9,10,11]=>[11,10,9,7,6,4,12,3,2,1,8,5]
[4,1,2,3,5,12,6,7,8,9,10,11]=>[11,10,9,8,7,6,12,5,3,2,1,4]
[3,4,8,9,1,12,2,5,6,7,10,11]=>[11,10,7,6,5,2,12,1,9,8,4,3]
[3,4,8,2,11,12,1,5,6,7,9,10]=>[10,9,7,6,5,1,12,11,2,8,4,3]
[3,4,8,10,1,12,2,5,6,7,9,11]=>[11,9,7,6,5,2,12,1,10,8,4,3]
[2,3,7,1,4,12,5,6,8,9,10,11]=>[11,10,9,8,6,5,12,4,1,7,3,2]
[4,8,3,10,11,12,1,2,5,6,7,9]=>[9,7,6,5,2,1,12,11,10,3,8,4]
[3,7,2,9,1,12,4,5,6,8,10,11]=>[11,10,8,6,5,4,12,1,9,2,7,3]
[4,8,9,2,11,12,1,3,5,6,7,10]=>[10,7,6,5,3,1,12,11,2,9,8,4]
[4,8,9,10,1,12,2,3,5,6,7,11]=>[11,7,6,5,3,2,12,1,10,9,8,4]
[3,7,8,1,2,12,4,5,6,9,10,11]=>[11,10,9,6,5,4,12,2,1,8,7,3]
[3,7,2,4,11,12,1,5,6,8,9,10]=>[10,9,8,6,5,1,12,11,4,2,7,3]
[3,7,2,10,1,12,4,5,6,8,9,11]=>[11,9,8,6,5,4,12,1,10,2,7,3]
[3,7,9,1,2,12,4,5,6,8,10,11]=>[11,10,8,6,5,4,12,2,1,9,7,3]
[2,6,1,3,4,12,5,7,8,9,10,11]=>[11,10,9,8,7,5,12,4,3,1,6,2]
[7,3,4,10,11,12,1,2,5,6,8,9]=>[9,8,6,5,2,1,12,11,10,4,3,7]
[6,2,3,9,1,12,4,5,7,8,10,11]=>[11,10,8,7,5,4,12,1,9,3,2,6]
[7,3,9,2,11,12,1,4,5,6,8,10]=>[10,8,6,5,4,1,12,11,2,9,3,7]
[7,3,9,10,1,12,2,4,5,6,8,11]=>[11,8,6,5,4,2,12,1,10,9,3,7]
[6,2,8,1,3,12,4,5,7,9,10,11]=>[11,10,9,7,5,4,12,3,1,8,2,6]
[7,8,2,3,11,12,1,4,5,6,9,10]=>[10,9,6,5,4,1,12,11,3,2,8,7]
[7,8,2,10,1,12,3,4,5,6,9,11]=>[11,9,6,5,4,3,12,1,10,2,8,7]
[7,8,9,1,2,12,3,4,5,6,10,11]=>[11,10,6,5,4,3,12,2,1,9,8,7]
[6,7,1,2,3,12,4,5,8,9,10,11]=>[11,10,9,8,5,4,12,3,2,1,7,6]
[6,2,3,4,11,12,1,5,7,8,9,10]=>[10,9,8,7,5,1,12,11,4,3,2,6]
[6,2,3,10,1,12,4,5,7,8,9,11]=>[11,9,8,7,5,4,12,1,10,3,2,6]
[6,2,9,1,3,12,4,5,7,8,10,11]=>[11,10,8,7,5,4,12,3,1,9,2,6]
[6,8,1,2,3,12,4,5,7,9,10,11]=>[11,10,9,7,5,4,12,3,2,1,8,6]
[5,1,2,3,4,12,6,7,8,9,10,11]=>[11,10,9,8,7,6,12,4,3,2,1,5]
[3,4,5,10,11,12,1,2,6,7,8,9]=>[9,8,7,6,2,1,12,11,10,5,4,3]
[2,3,4,9,1,12,5,6,7,8,10,11]=>[11,10,8,7,6,5,12,1,9,4,3,2]
[3,4,9,2,11,12,1,5,6,7,8,10]=>[10,8,7,6,5,1,12,11,2,9,4,3]
[3,4,9,10,1,12,2,5,6,7,8,11]=>[11,8,7,6,5,2,12,1,10,9,4,3]
[2,3,8,1,4,12,5,6,7,9,10,11]=>[11,10,9,7,6,5,12,4,1,8,3,2]
[3,8,2,4,11,12,1,5,6,7,9,10]=>[10,9,7,6,5,1,12,11,4,2,8,3]
[3,8,2,10,1,12,4,5,6,7,9,11]=>[11,9,7,6,5,4,12,1,10,2,8,3]
[3,8,9,1,2,12,4,5,6,7,10,11]=>[11,10,7,6,5,4,12,2,1,9,8,3]
[2,7,1,3,4,12,5,6,8,9,10,11]=>[11,10,9,8,6,5,12,4,3,1,7,2]
[7,2,3,4,11,12,1,5,6,8,9,10]=>[10,9,8,6,5,1,12,11,4,3,2,7]
[7,2,3,10,1,12,4,5,6,8,9,11]=>[11,9,8,6,5,4,12,1,10,3,2,7]
[7,2,9,1,3,12,4,5,6,8,10,11]=>[11,10,8,6,5,4,12,3,1,9,2,7]
[7,8,1,2,3,12,4,5,6,9,10,11]=>[11,10,9,6,5,4,12,3,2,1,8,7]
[6,1,2,3,4,12,5,7,8,9,10,11]=>[11,10,9,8,7,5,12,4,3,2,1,6]
[2,3,4,5,11,12,1,6,7,8,9,10]=>[10,9,8,7,6,1,12,11,5,4,3,2]
[2,3,4,10,1,12,5,6,7,8,9,11]=>[11,9,8,7,6,5,12,1,10,4,3,2]
[2,3,9,1,4,12,5,6,7,8,10,11]=>[11,10,8,7,6,5,12,4,1,9,3,2]
[2,8,1,3,4,12,5,6,7,9,10,11]=>[11,10,9,7,6,5,12,4,3,1,8,2]
[11,12,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,12,11]
[12,11,10,8,9,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,9,8,10,11,12]
[12,10,9,7,5,3,1,11,8,6,4,2]=>[2,4,6,8,11,1,3,5,7,9,10,12]
[8,11,7,5,3,1,12,10,9,6,4,2]=>[2,4,6,9,10,12,1,3,5,7,11,8]
[10,12,8,7,5,3,1,11,9,6,4,2]=>[2,4,6,9,11,1,3,5,7,8,12,10]
[9,12,11,8,7,5,3,1,10,6,4,2]=>[2,4,6,10,1,3,5,7,8,11,12,9]
[6,11,9,5,3,1,12,10,8,7,4,2]=>[2,4,7,8,10,12,1,3,5,9,11,6]
[6,12,10,9,5,3,1,11,8,7,4,2]=>[2,4,7,8,11,1,3,5,9,10,12,6]
[8,6,11,5,3,1,12,10,9,7,4,2]=>[2,4,7,9,10,12,1,3,5,11,6,8]
[10,8,12,6,5,3,1,11,9,7,4,2]=>[2,4,7,9,11,1,3,5,6,12,8,10]
[9,8,12,11,6,5,3,1,10,7,4,2]=>[2,4,7,10,1,3,5,6,11,12,8,9]
[11,7,12,6,5,3,1,10,9,8,4,2]=>[2,4,8,9,10,1,3,5,6,12,7,11]
[7,10,12,6,5,3,1,11,9,8,4,2]=>[2,4,8,9,11,1,3,5,6,12,10,7]
[12,9,7,11,6,5,3,1,10,8,4,2]=>[2,4,8,10,1,3,5,6,11,7,9,12]
[12,8,7,11,10,6,5,3,1,9,4,2]=>[2,4,9,1,3,5,6,10,11,7,8,12]
[4,11,9,7,3,1,12,10,8,6,5,2]=>[2,5,6,8,10,12,1,3,7,9,11,4]
[4,12,10,9,7,3,1,11,8,6,5,2]=>[2,5,6,8,11,1,3,7,9,10,12,4]
[8,4,11,7,3,1,12,10,9,6,5,2]=>[2,5,6,9,10,12,1,3,7,11,4,8]
[10,4,12,8,7,3,1,11,9,6,5,2]=>[2,5,6,9,11,1,3,7,8,12,4,10]
[9,4,12,11,8,7,3,1,10,6,5,2]=>[2,5,6,10,1,3,7,8,11,12,4,9]
[6,4,11,9,3,1,12,10,8,7,5,2]=>[2,5,7,8,10,12,1,3,9,11,4,6]
[6,4,12,10,9,3,1,11,8,7,5,2]=>[2,5,7,8,11,1,3,9,10,12,4,6]
[8,6,4,11,3,1,12,10,9,7,5,2]=>[2,5,7,9,10,12,1,3,11,4,6,8]
[10,8,6,12,4,3,1,11,9,7,5,2]=>[2,5,7,9,11,1,3,4,12,6,8,10]
[9,8,6,12,11,4,3,1,10,7,5,2]=>[2,5,7,10,1,3,4,11,12,6,8,9]
[11,7,6,12,4,3,1,10,9,8,5,2]=>[2,5,8,9,10,1,3,4,12,6,7,11]
[7,10,6,12,4,3,1,11,9,8,5,2]=>[2,5,8,9,11,1,3,4,12,6,10,7]
[12,9,7,6,11,4,3,1,10,8,5,2]=>[2,5,8,10,1,3,4,11,6,7,9,12]
[12,8,7,6,11,10,4,3,1,9,5,2]=>[2,5,9,1,3,4,10,11,6,7,8,12]
[11,5,4,9,3,1,12,10,8,7,6,2]=>[2,6,7,8,10,12,1,3,9,4,5,11]
[10,5,4,12,9,3,1,11,8,7,6,2]=>[2,6,7,8,11,1,3,9,12,4,5,10]
[5,8,4,11,3,1,12,10,9,7,6,2]=>[2,6,7,9,10,12,1,3,11,4,8,5]
[5,10,8,12,4,3,1,11,9,7,6,2]=>[2,6,7,9,11,1,3,4,12,8,10,5]
[5,9,8,12,11,4,3,1,10,7,6,2]=>[2,6,7,10,1,3,4,11,12,8,9,5]
[7,11,5,12,4,3,1,10,9,8,6,2]=>[2,6,8,9,10,1,3,4,12,5,11,7]
[7,5,10,12,4,3,1,11,9,8,6,2]=>[2,6,8,9,11,1,3,4,12,10,5,7]
[9,12,7,5,11,4,3,1,10,8,6,2]=>[2,6,8,10,1,3,4,11,5,7,12,9]
[8,12,7,5,11,10,4,3,1,9,6,2]=>[2,6,9,1,3,4,10,11,5,7,12,8]
[6,11,5,12,10,4,3,1,9,8,7,2]=>[2,7,8,9,1,3,4,10,12,5,11,6]
[10,12,6,5,11,4,3,1,9,8,7,2]=>[2,7,8,9,1,3,4,11,5,6,12,10]
[12,6,9,5,11,4,3,1,10,8,7,2]=>[2,7,8,10,1,3,4,11,5,9,6,12]
[8,12,11,6,5,10,4,3,1,9,7,2]=>[2,7,9,1,3,4,10,5,6,11,12,8]
[7,12,11,6,5,10,9,4,3,1,8,2]=>[2,8,1,3,4,9,10,5,6,11,12,7]
[2,11,9,7,5,1,12,10,8,6,4,3]=>[3,4,6,8,10,12,1,5,7,9,11,2]
[2,12,10,9,7,5,1,11,8,6,4,3]=>[3,4,6,8,11,1,5,7,9,10,12,2]
[8,2,11,7,5,1,12,10,9,6,4,3]=>[3,4,6,9,10,12,1,5,7,11,2,8]
[10,2,12,8,7,5,1,11,9,6,4,3]=>[3,4,6,9,11,1,5,7,8,12,2,10]
[9,2,12,11,8,7,5,1,10,6,4,3]=>[3,4,6,10,1,5,7,8,11,12,2,9]
[6,2,11,9,5,1,12,10,8,7,4,3]=>[3,4,7,8,10,12,1,5,9,11,2,6]
[6,2,12,10,9,5,1,11,8,7,4,3]=>[3,4,7,8,11,1,5,9,10,12,2,6]
[8,6,2,11,5,1,12,10,9,7,4,3]=>[3,4,7,9,10,12,1,5,11,2,6,8]
[10,8,2,12,6,5,1,11,9,7,4,3]=>[3,4,7,9,11,1,5,6,12,2,8,10]
[9,8,2,12,11,6,5,1,10,7,4,3]=>[3,4,7,10,1,5,6,11,12,2,8,9]
[11,7,2,12,6,5,1,10,9,8,4,3]=>[3,4,8,9,10,1,5,6,12,2,7,11]
[7,10,2,12,6,5,1,11,9,8,4,3]=>[3,4,8,9,11,1,5,6,12,2,10,7]
[12,9,7,2,11,6,5,1,10,8,4,3]=>[3,4,8,10,1,5,6,11,2,7,9,12]
[12,8,7,2,11,10,6,5,1,9,4,3]=>[3,4,9,1,5,6,10,11,2,7,8,12]
[4,2,11,9,7,1,12,10,8,6,5,3]=>[3,5,6,8,10,12,1,7,9,11,2,4]
[4,2,12,10,9,7,1,11,8,6,5,3]=>[3,5,6,8,11,1,7,9,10,12,2,4]
[8,4,2,11,7,1,12,10,9,6,5,3]=>[3,5,6,9,10,12,1,7,11,2,4,8]
[10,4,2,12,8,7,1,11,9,6,5,3]=>[3,5,6,9,11,1,7,8,12,2,4,10]
[9,4,2,12,11,8,7,1,10,6,5,3]=>[3,5,6,10,1,7,8,11,12,2,4,9]
[6,4,2,11,9,1,12,10,8,7,5,3]=>[3,5,7,8,10,12,1,9,11,2,4,6]
[6,4,2,12,10,9,1,11,8,7,5,3]=>[3,5,7,8,11,1,9,10,12,2,4,6]
[8,6,4,2,11,1,12,10,9,7,5,3]=>[3,5,7,9,10,12,1,11,2,4,6,8]
[10,8,6,4,12,2,1,11,9,7,5,3]=>[3,5,7,9,11,1,2,12,4,6,8,10]
[9,8,6,4,12,11,2,1,10,7,5,3]=>[3,5,7,10,1,2,11,12,4,6,8,9]
[11,7,6,4,12,2,1,10,9,8,5,3]=>[3,5,8,9,10,1,2,12,4,6,7,11]
[7,10,6,4,12,2,1,11,9,8,5,3]=>[3,5,8,9,11,1,2,12,4,6,10,7]
[12,9,7,6,4,11,2,1,10,8,5,3]=>[3,5,8,10,1,2,11,4,6,7,9,12]
[12,8,7,6,4,11,10,2,1,9,5,3]=>[3,5,9,1,2,10,11,4,6,7,8,12]
[11,5,4,2,9,1,12,10,8,7,6,3]=>[3,6,7,8,10,12,1,9,2,4,5,11]
[10,5,4,2,12,9,1,11,8,7,6,3]=>[3,6,7,8,11,1,9,12,2,4,5,10]
[5,8,4,2,11,1,12,10,9,7,6,3]=>[3,6,7,9,10,12,1,11,2,4,8,5]
[5,10,8,4,12,2,1,11,9,7,6,3]=>[3,6,7,9,11,1,2,12,4,8,10,5]
[5,9,8,4,12,11,2,1,10,7,6,3]=>[3,6,7,10,1,2,11,12,4,8,9,5]
[7,11,5,4,12,2,1,10,9,8,6,3]=>[3,6,8,9,10,1,2,12,4,5,11,7]
[7,5,10,4,12,2,1,11,9,8,6,3]=>[3,6,8,9,11,1,2,12,4,10,5,7]
[9,12,7,5,4,11,2,1,10,8,6,3]=>[3,6,8,10,1,2,11,4,5,7,12,9]
[8,12,7,5,4,11,10,2,1,9,6,3]=>[3,6,9,1,2,10,11,4,5,7,12,8]
[6,11,5,4,12,10,2,1,9,8,7,3]=>[3,7,8,9,1,2,10,12,4,5,11,6]
[10,12,6,5,4,11,2,1,9,8,7,3]=>[3,7,8,9,1,2,11,4,5,6,12,10]
[12,6,9,5,4,11,2,1,10,8,7,3]=>[3,7,8,10,1,2,11,4,5,9,6,12]
[8,12,11,6,5,4,10,2,1,9,7,3]=>[3,7,9,1,2,10,4,5,6,11,12,8]
[7,12,11,6,5,4,10,9,2,1,8,3]=>[3,8,1,2,9,10,4,5,6,11,12,7]
[11,3,2,9,7,1,12,10,8,6,5,4]=>[4,5,6,8,10,12,1,7,9,2,3,11]
[12,3,2,10,9,7,1,11,8,6,5,4]=>[4,5,6,8,11,1,7,9,10,2,3,12]
[3,8,2,11,7,1,12,10,9,6,5,4]=>[4,5,6,9,10,12,1,7,11,2,8,3]
[10,8,3,2,12,7,1,11,9,6,5,4]=>[4,5,6,9,11,1,7,12,2,3,8,10]
[9,8,3,2,12,11,7,1,10,6,5,4]=>[4,5,6,10,1,7,11,12,2,3,8,9]
[3,6,2,11,9,1,12,10,8,7,5,4]=>[4,5,7,8,10,12,1,9,11,2,6,3]
[3,6,2,12,10,9,1,11,8,7,5,4]=>[4,5,7,8,11,1,9,10,12,2,6,3]
[3,8,6,2,11,1,12,10,9,7,5,4]=>[4,5,7,9,10,12,1,11,2,6,8,3]
[3,10,8,6,12,2,1,11,9,7,5,4]=>[4,5,7,9,11,1,2,12,6,8,10,3]
[3,9,8,6,12,11,2,1,10,7,5,4]=>[4,5,7,10,1,2,11,12,6,8,9,3]
[3,11,7,6,12,2,1,10,9,8,5,4]=>[4,5,8,9,10,1,2,12,6,7,11,3]
[7,3,10,6,12,2,1,11,9,8,5,4]=>[4,5,8,9,11,1,2,12,6,10,3,7]
[3,12,9,7,6,11,2,1,10,8,5,4]=>[4,5,8,10,1,2,11,6,7,9,12,3]
[3,12,8,7,6,11,10,2,1,9,5,4]=>[4,5,9,1,2,10,11,6,7,8,12,3]
[5,11,3,2,9,1,12,10,8,7,6,4]=>[4,6,7,8,10,12,1,9,2,3,11,5]
[5,10,3,2,12,9,1,11,8,7,6,4]=>[4,6,7,8,11,1,9,12,2,3,10,5]
[5,3,8,2,11,1,12,10,9,7,6,4]=>[4,6,7,9,10,12,1,11,2,8,3,5]
[5,3,10,8,12,2,1,11,9,7,6,4]=>[4,6,7,9,11,1,2,12,8,10,3,5]
[5,3,9,8,12,11,2,1,10,7,6,4]=>[4,6,7,10,1,2,11,12,8,9,3,5]
[7,5,11,3,12,2,1,10,9,8,6,4]=>[4,6,8,9,10,1,2,12,3,11,5,7]
[7,5,3,10,12,2,1,11,9,8,6,4]=>[4,6,8,9,11,1,2,12,10,3,5,7]
[9,7,12,5,3,11,2,1,10,8,6,4]=>[4,6,8,10,1,2,11,3,5,12,7,9]
[8,7,12,5,3,11,10,2,1,9,6,4]=>[4,6,9,1,2,10,11,3,5,12,7,8]
[6,5,11,3,12,10,2,1,9,8,7,4]=>[4,7,8,9,1,2,10,12,3,11,5,6]
[10,6,12,5,3,11,2,1,9,8,7,4]=>[4,7,8,9,1,2,11,3,5,12,6,10]
[6,9,12,5,3,11,2,1,10,8,7,4]=>[4,7,8,10,1,2,11,3,5,12,9,6]
[8,6,12,11,5,3,10,2,1,9,7,4]=>[4,7,9,1,2,10,3,5,11,12,6,8]
[7,6,12,11,5,3,10,9,2,1,8,4]=>[4,8,1,2,9,10,3,5,11,12,6,7]
[4,11,3,2,12,9,1,10,8,7,6,5]=>[5,6,7,8,10,1,9,12,2,3,11,4]
[10,12,4,3,2,9,1,11,8,7,6,5]=>[5,6,7,8,11,1,9,2,3,4,12,10]
[4,3,11,8,12,2,1,10,9,7,6,5]=>[5,6,7,9,10,1,2,12,8,11,3,4]
[10,4,3,8,12,2,1,11,9,7,6,5]=>[5,6,7,9,11,1,2,12,8,3,4,10]
[4,3,12,9,8,11,2,1,10,7,6,5]=>[5,6,7,10,1,2,11,8,9,12,3,4]
[4,7,11,3,12,2,1,10,9,8,6,5]=>[5,6,8,9,10,1,2,12,3,11,7,4]
[4,7,3,10,12,2,1,11,9,8,6,5]=>[5,6,8,9,11,1,2,12,10,3,7,4]
[4,9,12,7,3,11,2,1,10,8,6,5]=>[5,6,8,10,1,2,11,3,7,12,9,4]
[4,8,12,7,3,11,10,2,1,9,6,5]=>[5,6,9,1,2,10,11,3,7,12,8,4]
[11,6,12,4,3,10,2,1,9,8,7,5]=>[5,7,8,9,1,2,10,3,4,12,6,11]
[6,10,12,4,3,11,2,1,9,8,7,5]=>[5,7,8,9,1,2,11,3,4,12,10,6]
[6,12,4,9,3,11,2,1,10,8,7,5]=>[5,7,8,10,1,2,11,3,9,4,12,6]
[12,8,6,11,4,3,10,2,1,9,7,5]=>[5,7,9,1,2,10,3,4,11,6,8,12]
[12,7,6,11,4,3,10,9,2,1,8,5]=>[5,8,1,2,9,10,3,4,11,6,7,12]
[11,5,12,4,3,10,9,2,1,8,7,6]=>[6,7,8,1,2,9,10,3,4,12,5,11]
[5,10,12,4,3,11,9,2,1,8,7,6]=>[6,7,8,1,2,9,11,3,4,12,10,5]
[12,9,5,11,4,3,10,2,1,8,7,6]=>[6,7,8,1,2,10,3,4,11,5,9,12]
[5,12,8,11,4,3,10,2,1,9,7,6]=>[6,7,9,1,2,10,3,4,11,8,12,5]
[12,7,5,11,10,4,3,9,2,1,8,6]=>[6,8,1,2,9,3,4,10,11,5,7,12]
[12,6,5,11,10,4,3,9,8,2,1,7]=>[7,1,2,8,9,3,4,10,11,5,6,12]
[5,3,8,2,1,6,4,11,9,7,12,10]=>[10,12,7,9,11,4,6,1,2,8,3,5]
[4,3,2,1,8,5,6,11,9,7,12,10]=>[10,12,7,9,11,6,5,8,1,2,3,4]
[4,7,3,2,1,5,8,6,11,9,12,10]=>[10,12,9,11,6,8,5,1,2,3,7,4]
[7,3,10,6,2,1,8,4,11,9,5,12]=>[12,5,9,11,4,8,1,2,6,10,3,7]
[7,5,10,4,3,8,6,11,9,1,12,2]=>[2,12,1,9,11,6,8,3,4,10,5,7]
[7,5,4,10,2,8,6,1,11,9,3,12]=>[12,3,9,11,1,6,8,2,10,4,5,7]
[3,7,5,10,2,1,8,6,4,11,9,12]=>[12,9,11,4,6,8,1,2,10,5,7,3]
[4,7,3,2,1,10,5,8,6,11,9,12]=>[12,9,11,6,8,5,10,1,2,3,7,4]
[6,5,4,3,10,7,8,11,9,1,12,2]=>[2,12,1,9,11,8,7,10,3,4,5,6]
[2,6,5,4,10,7,8,1,11,9,3,12]=>[12,3,9,11,1,8,7,10,4,5,6,2]
[3,2,6,5,10,7,1,8,4,11,9,12]=>[12,9,11,4,8,1,7,10,5,6,2,3]
[4,3,2,6,1,10,7,5,8,11,9,12]=>[12,9,11,8,5,7,10,1,6,2,3,4]
[5,4,3,2,1,6,10,7,8,11,9,12]=>[12,9,11,8,7,10,6,1,2,3,4,5]
[7,4,9,3,2,1,5,10,8,6,11,12]=>[12,11,6,8,10,5,1,2,3,9,4,7]
[6,9,5,4,3,7,10,8,11,1,12,2]=>[2,12,1,11,8,10,7,3,4,5,9,6]
[6,2,9,5,4,7,10,8,1,11,3,12]=>[12,3,11,1,8,10,7,4,5,9,2,6]
[6,5,3,9,2,7,1,10,8,4,11,12]=>[12,11,4,8,10,1,7,2,9,3,5,6]
[4,6,3,9,2,1,7,5,10,8,11,12]=>[12,11,8,10,5,7,1,2,9,3,6,4]
[9,5,4,3,2,1,6,7,10,8,11,12]=>[12,11,8,10,7,6,1,2,3,4,5,9]
[4,8,3,7,2,1,9,5,10,6,11,12]=>[12,11,6,10,5,9,1,2,7,3,8,4]
[5,4,8,3,2,1,6,9,7,10,11,12]=>[12,11,10,7,9,6,1,2,3,8,4,5]
[11,2,9,4,7,6,8,5,10,3,12,1]=>[1,12,3,10,5,8,6,7,4,9,2,11]
[7,5,6,8,4,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,4,8,6,5,7]
[8,6,7,4,5,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,5,4,7,6,8]
[9,7,8,5,3,4,6,10,2,11,1,12]=>[12,1,11,2,10,6,4,3,5,8,7,9]
[8,6,7,9,5,3,4,10,2,11,1,12]=>[12,1,11,2,10,4,3,5,9,7,6,8]
[9,7,8,5,6,3,4,10,2,11,1,12]=>[12,1,11,2,10,4,3,6,5,8,7,9]
[10,8,9,5,3,4,6,2,7,11,1,12]=>[12,1,11,7,2,6,4,3,5,9,8,10]
[10,8,9,6,4,5,2,3,7,11,1,12]=>[12,1,11,7,3,2,5,4,6,9,8,10]
[9,7,8,10,6,4,2,3,5,11,1,12]=>[12,1,11,5,3,2,4,6,10,8,7,9]
[10,8,9,6,7,4,2,3,5,11,1,12]=>[12,1,11,5,3,2,4,7,6,9,8,10]
[8,6,7,9,5,10,4,2,3,11,1,12]=>[12,1,11,3,2,4,10,5,9,7,6,8]
[9,7,8,5,6,10,4,2,3,11,1,12]=>[12,1,11,3,2,4,10,6,5,8,7,9]
[10,8,9,6,4,5,7,2,3,11,1,12]=>[12,1,11,3,2,7,5,4,6,9,8,10]
[9,7,8,10,6,4,5,2,3,11,1,12]=>[12,1,11,3,2,5,4,6,10,8,7,9]
[10,8,9,6,7,4,5,2,3,11,1,12]=>[12,1,11,3,2,5,4,7,6,9,8,10]
[11,9,10,5,3,4,6,2,7,1,8,12]=>[12,8,1,7,2,6,4,3,5,10,9,11]
[11,9,10,6,4,5,2,3,7,1,8,12]=>[12,8,1,7,3,2,5,4,6,10,9,11]
[10,11,8,6,7,4,2,3,5,9,1,12]=>[12,1,9,5,3,2,4,7,6,8,11,10]
[11,9,10,6,4,5,7,3,1,2,8,12]=>[12,8,2,1,3,7,5,4,6,10,9,11]
[11,9,10,7,5,6,3,4,1,2,8,12]=>[12,8,2,1,4,3,6,5,7,10,9,11]
[10,8,9,11,7,4,2,3,5,1,6,12]=>[12,6,1,5,3,2,4,7,11,9,8,10]
[10,8,9,11,7,5,3,4,1,2,6,12]=>[12,6,2,1,4,3,5,7,11,9,8,10]
[11,9,10,7,8,4,2,3,5,1,6,12]=>[12,6,1,5,3,2,4,8,7,10,9,11]
[11,9,10,7,8,5,3,4,1,2,6,12]=>[12,6,2,1,4,3,5,8,7,10,9,11]
[9,7,8,10,6,11,5,3,1,2,4,12]=>[12,4,2,1,3,5,11,6,10,8,7,9]
[10,8,9,6,7,11,5,3,1,2,4,12]=>[12,4,2,1,3,5,11,7,6,9,8,10]
[11,9,10,7,5,6,8,3,1,2,4,12]=>[12,4,2,1,3,8,6,5,7,10,9,11]
[10,8,9,11,7,5,6,3,1,2,4,12]=>[12,4,2,1,3,6,5,7,11,9,8,10]
[11,9,10,7,8,5,6,3,1,2,4,12]=>[12,4,2,1,3,6,5,8,7,10,9,11]
[8,6,7,9,5,10,4,11,3,1,2,12]=>[12,2,1,3,11,4,10,5,9,7,6,8]
[9,7,8,5,6,10,4,11,3,1,2,12]=>[12,2,1,3,11,4,10,6,5,8,7,9]
[10,8,9,6,4,5,7,11,3,1,2,12]=>[12,2,1,3,11,7,5,4,6,9,8,10]
[9,7,8,10,6,4,5,11,3,1,2,12]=>[12,2,1,3,11,5,4,6,10,8,7,9]
[10,8,9,6,7,4,5,11,3,1,2,12]=>[12,2,1,3,11,5,4,7,6,9,8,10]
[11,9,10,6,4,5,7,3,8,1,2,12]=>[12,2,1,8,3,7,5,4,6,10,9,11]
[11,9,10,7,5,6,3,4,8,1,2,12]=>[12,2,1,8,4,3,6,5,7,10,9,11]
[10,8,9,11,7,5,3,4,6,1,2,12]=>[12,2,1,6,4,3,5,7,11,9,8,10]
[11,9,10,7,8,5,3,4,6,1,2,12]=>[12,2,1,6,4,3,5,8,7,10,9,11]
[9,7,8,10,6,11,5,3,4,1,2,12]=>[12,2,1,4,3,5,11,6,10,8,7,9]
[10,8,9,6,7,11,5,3,4,1,2,12]=>[12,2,1,4,3,5,11,7,6,9,8,10]
[11,9,10,7,5,6,8,3,4,1,2,12]=>[12,2,1,4,3,8,6,5,7,10,9,11]
[10,8,9,11,7,5,6,3,4,1,2,12]=>[12,2,1,4,3,6,5,7,11,9,8,10]
[11,12,6,4,5,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,5,4,6,12,11]
[11,12,7,5,6,3,4,8,2,9,1,10]=>[10,1,9,2,8,4,3,6,5,7,12,11]
[11,12,8,6,7,4,2,3,5,9,1,10]=>[10,1,9,5,3,2,4,7,6,8,12,11]
[11,12,7,5,6,8,4,2,3,9,1,10]=>[10,1,9,3,2,4,8,6,5,7,12,11]
[11,12,8,6,7,4,5,2,3,9,1,10]=>[10,1,9,3,2,5,4,7,6,8,12,11]
[11,12,9,7,8,4,2,3,5,1,6,10]=>[10,6,1,5,3,2,4,8,7,9,12,11]
[11,12,9,7,8,5,3,4,1,2,6,10]=>[10,6,2,1,4,3,5,8,7,9,12,11]
[11,12,8,6,7,9,5,3,1,2,4,10]=>[10,4,2,1,3,5,9,7,6,8,12,11]
[11,12,9,7,8,5,6,3,1,2,4,10]=>[10,4,2,1,3,6,5,8,7,9,12,11]
[11,12,7,5,6,8,4,9,3,1,2,10]=>[10,2,1,3,9,4,8,6,5,7,12,11]
[11,12,8,6,7,4,5,9,3,1,2,10]=>[10,2,1,3,9,5,4,7,6,8,12,11]
[11,12,9,7,8,5,3,4,6,1,2,10]=>[10,2,1,6,4,3,5,8,7,9,12,11]
[11,12,8,6,7,9,5,3,4,1,2,10]=>[10,2,1,4,3,5,9,7,6,8,12,11]
[11,12,9,7,8,5,6,3,4,1,2,10]=>[10,2,1,4,3,6,5,8,7,9,12,11]
[10,11,6,4,5,7,3,8,2,9,12,1]=>[1,12,9,2,8,3,7,5,4,6,11,10]
[10,11,7,5,6,3,4,8,2,9,12,1]=>[1,12,9,2,8,4,3,6,5,7,11,10]
[11,9,10,12,7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7,12,10,9,11]
[10,11,7,5,6,8,4,2,3,9,12,1]=>[1,12,9,3,2,4,8,6,5,7,11,10]
[10,11,8,6,7,4,5,2,3,9,12,1]=>[1,12,9,3,2,5,4,7,6,8,11,10]
[11,12,7,5,6,8,4,9,3,10,1,2]=>[2,1,10,3,9,4,8,6,5,7,12,11]
[11,12,8,6,7,4,5,9,3,10,1,2]=>[2,1,10,3,9,5,4,7,6,8,12,11]
[11,12,9,10,7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7,10,9,12,11]
[11,12,8,6,7,9,5,3,4,10,1,2]=>[2,1,10,4,3,5,9,7,6,8,12,11]
[11,12,9,7,8,5,6,3,4,10,1,2]=>[2,1,10,4,3,6,5,8,7,9,12,11]
[9,10,6,4,5,7,3,8,11,2,12,1]=>[1,12,2,11,8,3,7,5,4,6,10,9]
[9,10,7,5,6,3,4,8,11,2,12,1]=>[1,12,2,11,8,4,3,6,5,7,10,9]
[10,11,7,5,6,8,4,9,2,3,12,1]=>[1,12,3,2,9,4,8,6,5,7,11,10]
[10,11,8,6,7,4,5,9,2,3,12,1]=>[1,12,3,2,9,5,4,7,6,8,11,10]
[11,12,9,7,8,10,4,2,3,5,1,6]=>[6,1,5,3,2,4,10,8,7,9,12,11]
[11,12,9,7,8,10,5,3,4,1,2,6]=>[6,2,1,4,3,5,10,8,7,9,12,11]
[10,11,7,5,6,8,4,9,12,3,1,2]=>[2,1,3,12,9,4,8,6,5,7,11,10]
[10,11,8,6,7,4,5,9,12,3,1,2]=>[2,1,3,12,9,5,4,7,6,8,11,10]
[11,12,8,6,7,9,5,10,3,4,1,2]=>[2,1,4,3,10,5,9,7,6,8,12,11]
[11,12,9,7,8,5,6,10,3,4,1,2]=>[2,1,4,3,10,6,5,8,7,9,12,11]
[8,9,6,4,5,7,10,3,11,2,12,1]=>[1,12,2,11,3,10,7,5,4,6,9,8]
[9,10,7,5,6,8,3,4,11,2,12,1]=>[1,12,2,11,4,3,8,6,5,7,10,9]
[10,11,8,6,7,9,4,2,3,5,12,1]=>[1,12,5,3,2,4,9,7,6,8,11,10]
[9,10,7,5,6,8,11,4,2,3,12,1]=>[1,12,3,2,4,11,8,6,5,7,10,9]
[10,11,8,6,7,9,4,5,2,3,12,1]=>[1,12,3,2,5,4,9,7,6,8,11,10]
[11,12,8,6,7,9,5,10,3,1,2,4]=>[4,2,1,3,10,5,9,7,6,8,12,11]
[11,12,9,7,8,5,6,10,3,1,2,4]=>[4,2,1,3,10,6,5,8,7,9,12,11]
[10,11,8,6,7,9,12,5,3,1,2,4]=>[4,2,1,3,5,12,9,7,6,8,11,10]
[9,10,7,5,6,8,11,4,12,3,1,2]=>[2,1,3,12,4,11,8,6,5,7,10,9]
[10,11,8,6,7,9,4,5,12,3,1,2]=>[2,1,3,12,5,4,9,7,6,8,11,10]
[10,11,8,6,7,9,12,5,3,4,1,2]=>[2,1,4,3,5,12,9,7,6,8,11,10]
[7,8,5,6,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,6,5,8,7]
[8,9,6,7,4,5,10,3,11,2,12,1]=>[1,12,2,11,3,10,5,4,7,6,9,8]
[10,8,9,5,3,4,6,7,11,2,12,1]=>[1,12,2,11,7,6,4,3,5,9,8,10]
[8,9,6,7,10,5,3,4,11,2,12,1]=>[1,12,2,11,4,3,5,10,7,6,9,8]
[9,10,7,8,5,6,3,4,11,2,12,1]=>[1,12,2,11,4,3,6,5,8,7,10,9]
[11,9,10,5,3,4,6,2,7,8,12,1]=>[1,12,8,7,2,6,4,3,5,10,9,11]
[11,9,10,6,4,5,2,3,7,8,12,1]=>[1,12,8,7,3,2,5,4,6,10,9,11]
[10,8,9,11,7,4,2,3,5,6,12,1]=>[1,12,6,5,3,2,4,7,11,9,8,10]
[11,9,10,7,8,4,2,3,5,6,12,1]=>[1,12,6,5,3,2,4,8,7,10,9,11]
[8,9,6,7,10,5,11,4,2,3,12,1]=>[1,12,3,2,4,11,5,10,7,6,9,8]
[9,10,7,8,5,6,11,4,2,3,12,1]=>[1,12,3,2,4,11,6,5,8,7,10,9]
[11,9,10,6,4,5,7,8,2,3,12,1]=>[1,12,3,2,8,7,5,4,6,10,9,11]
[9,10,7,8,11,6,4,5,2,3,12,1]=>[1,12,3,2,5,4,6,11,8,7,10,9]
[12,10,11,5,3,4,6,2,7,1,8,9]=>[9,8,1,7,2,6,4,3,5,11,10,12]
[12,10,11,6,4,5,2,3,7,1,8,9]=>[9,8,1,7,3,2,5,4,6,11,10,12]
[11,12,9,7,8,4,2,3,5,6,10,1]=>[1,10,6,5,3,2,4,8,7,9,12,11]
[12,10,11,6,4,5,7,3,1,2,8,9]=>[9,8,2,1,3,7,5,4,6,11,10,12]
[12,10,11,7,5,6,3,4,1,2,8,9]=>[9,8,2,1,4,3,6,5,7,11,10,12]
[11,9,10,12,8,4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4,8,12,10,9,11]
[11,9,10,12,8,5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5,8,12,10,9,11]
[12,10,11,8,9,4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4,9,8,11,10,12]
[12,10,11,8,9,5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5,9,8,11,10,12]
[10,8,9,11,7,12,6,3,1,2,4,5]=>[5,4,2,1,3,6,12,7,11,9,8,10]
[11,9,10,7,8,12,6,3,1,2,4,5]=>[5,4,2,1,3,6,12,8,7,10,9,11]
[12,10,11,7,5,6,8,9,3,1,2,4]=>[4,2,1,3,9,8,6,5,7,11,10,12]
[11,9,10,12,8,6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6,8,12,10,9,11]
[12,10,11,8,9,6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6,9,8,11,10,12]
[8,9,6,7,10,5,11,4,12,3,1,2]=>[2,1,3,12,4,11,5,10,7,6,9,8]
[9,10,7,8,5,6,11,4,12,3,1,2]=>[2,1,3,12,4,11,6,5,8,7,10,9]
[11,9,10,6,4,5,7,8,12,3,1,2]=>[2,1,3,12,8,7,5,4,6,10,9,11]
[9,10,7,8,11,6,4,5,12,3,1,2]=>[2,1,3,12,5,4,6,11,8,7,10,9]
[10,11,8,9,6,7,4,5,12,3,1,2]=>[2,1,3,12,5,4,7,6,9,8,11,10]
[12,10,11,6,4,5,7,3,8,9,1,2]=>[2,1,9,8,3,7,5,4,6,11,10,12]
[12,10,11,7,5,6,3,4,8,9,1,2]=>[2,1,9,8,4,3,6,5,7,11,10,12]
[11,9,10,12,8,5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5,8,12,10,9,11]
[12,10,11,8,9,5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5,9,8,11,10,12]
[9,10,7,8,11,6,12,5,3,4,1,2]=>[2,1,4,3,5,12,6,11,8,7,10,9]
[10,11,8,9,6,7,12,5,3,4,1,2]=>[2,1,4,3,5,12,7,6,9,8,11,10]
[12,10,11,7,5,6,8,9,3,4,1,2]=>[2,1,4,3,9,8,6,5,7,11,10,12]
[10,11,8,9,12,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,12,9,8,11,10]
[5,6,1,7,2,8,3,9,4,10,11,12]=>[12,11,10,4,9,3,8,2,7,1,6,5]
[5,6,1,7,2,8,3,9,10,11,4,12]=>[12,4,11,10,9,3,8,2,7,1,6,5]
[5,6,1,7,2,8,3,9,10,4,11,12]=>[12,11,4,10,9,3,8,2,7,1,6,5]
[4,5,1,6,2,7,3,8,9,10,11,12]=>[12,11,10,9,8,3,7,2,6,1,5,4]
[5,6,1,7,2,8,9,10,3,11,4,12]=>[12,4,11,3,10,9,8,2,7,1,6,5]
[5,6,1,7,2,8,9,10,3,4,11,12]=>[12,11,4,3,10,9,8,2,7,1,6,5]
[5,6,1,7,2,8,9,3,10,11,4,12]=>[12,4,11,10,3,9,8,2,7,1,6,5]
[5,6,1,7,2,8,9,3,10,4,11,12]=>[12,11,4,10,3,9,8,2,7,1,6,5]
[4,5,1,6,2,7,8,3,9,10,11,12]=>[12,11,10,9,3,8,7,2,6,1,5,4]
[4,5,1,6,2,7,8,9,10,11,3,12]=>[12,3,11,10,9,8,7,2,6,1,5,4]
[4,5,1,6,2,7,8,9,10,3,11,12]=>[12,11,3,10,9,8,7,2,6,1,5,4]
[4,5,1,6,2,7,8,9,3,10,11,12]=>[12,11,10,3,9,8,7,2,6,1,5,4]
[3,4,1,5,2,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,2,5,1,4,3]
[5,6,1,7,8,9,2,10,3,11,4,12]=>[12,4,11,3,10,2,9,8,7,1,6,5]
[5,6,1,7,8,9,2,10,3,4,11,12]=>[12,11,4,3,10,2,9,8,7,1,6,5]
[5,6,1,7,8,9,2,3,10,11,4,12]=>[12,4,11,10,3,2,9,8,7,1,6,5]
[5,6,1,7,8,9,2,3,10,4,11,12]=>[12,11,4,10,3,2,9,8,7,1,6,5]
[4,5,1,6,7,8,2,3,9,10,11,12]=>[12,11,10,9,3,2,8,7,6,1,5,4]
[5,6,1,7,8,2,9,10,3,11,4,12]=>[12,4,11,3,10,9,2,8,7,1,6,5]
[5,6,1,7,8,2,9,10,3,4,11,12]=>[12,11,4,3,10,9,2,8,7,1,6,5]
[5,6,1,7,8,2,9,3,10,11,4,12]=>[12,4,11,10,3,9,2,8,7,1,6,5]
[5,6,1,7,8,2,9,3,10,4,11,12]=>[12,11,4,10,3,9,2,8,7,1,6,5]
[4,5,1,6,7,2,8,3,9,10,11,12]=>[12,11,10,9,3,8,2,7,6,1,5,4]
[4,5,1,6,7,2,8,9,10,11,3,12]=>[12,3,11,10,9,8,2,7,6,1,5,4]
[4,5,1,6,7,2,8,9,10,3,11,12]=>[12,11,3,10,9,8,2,7,6,1,5,4]
[4,5,1,6,7,2,8,9,3,10,11,12]=>[12,11,10,3,9,8,2,7,6,1,5,4]
[3,4,1,5,6,2,7,8,9,10,11,12]=>[12,11,10,9,8,7,2,6,5,1,4,3]
[4,5,1,6,7,8,9,10,2,11,3,12]=>[12,3,11,2,10,9,8,7,6,1,5,4]
[4,5,1,6,7,8,9,10,2,3,11,12]=>[12,11,3,2,10,9,8,7,6,1,5,4]
[4,5,1,6,7,8,9,2,10,11,3,12]=>[12,3,11,10,2,9,8,7,6,1,5,4]
[4,5,1,6,7,8,9,2,10,3,11,12]=>[12,11,3,10,2,9,8,7,6,1,5,4]
[4,5,1,6,7,8,9,2,3,10,11,12]=>[12,11,10,3,2,9,8,7,6,1,5,4]
[4,5,1,6,7,8,2,9,10,11,3,12]=>[12,3,11,10,9,2,8,7,6,1,5,4]
[4,5,1,6,7,8,2,9,10,3,11,12]=>[12,11,3,10,9,2,8,7,6,1,5,4]
[4,5,1,6,7,8,2,9,3,10,11,12]=>[12,11,10,3,9,2,8,7,6,1,5,4]
[3,4,1,5,6,7,2,8,9,10,11,12]=>[12,11,10,9,8,2,7,6,5,1,4,3]
[3,4,1,5,6,7,8,9,10,11,2,12]=>[12,2,11,10,9,8,7,6,5,1,4,3]
[3,4,1,5,6,7,8,9,10,2,11,12]=>[12,11,2,10,9,8,7,6,5,1,4,3]
[3,4,1,5,6,7,8,9,2,10,11,12]=>[12,11,10,2,9,8,7,6,5,1,4,3]
[3,4,1,5,6,7,8,2,9,10,11,12]=>[12,11,10,9,2,8,7,6,5,1,4,3]
[5,6,7,8,1,9,2,10,3,11,4,12]=>[12,4,11,3,10,2,9,1,8,7,6,5]
[5,6,7,8,1,9,2,10,3,4,11,12]=>[12,11,4,3,10,2,9,1,8,7,6,5]
[5,6,7,8,1,9,2,3,10,11,4,12]=>[12,4,11,10,3,2,9,1,8,7,6,5]
[5,6,7,8,1,9,2,3,10,4,11,12]=>[12,11,4,10,3,2,9,1,8,7,6,5]
[4,5,6,7,1,8,2,3,9,10,11,12]=>[12,11,10,9,3,2,8,1,7,6,5,4]
[5,6,7,8,1,2,9,10,3,11,4,12]=>[12,4,11,3,10,9,2,1,8,7,6,5]
[5,6,7,8,1,2,9,10,3,4,11,12]=>[12,11,4,3,10,9,2,1,8,7,6,5]
[5,6,7,8,1,2,9,3,10,11,4,12]=>[12,4,11,10,3,9,2,1,8,7,6,5]
[5,6,7,8,1,2,9,3,10,4,11,12]=>[12,11,4,10,3,9,2,1,8,7,6,5]
[4,5,6,7,1,2,8,3,9,10,11,12]=>[12,11,10,9,3,8,2,1,7,6,5,4]
[4,5,6,7,1,2,8,9,10,11,3,12]=>[12,3,11,10,9,8,2,1,7,6,5,4]
[4,5,6,7,1,2,8,9,10,3,11,12]=>[12,11,3,10,9,8,2,1,7,6,5,4]
[4,5,6,7,1,2,8,9,3,10,11,12]=>[12,11,10,3,9,8,2,1,7,6,5,4]
[3,4,5,6,1,2,7,8,9,10,11,12]=>[12,11,10,9,8,7,2,1,6,5,4,3]
[5,6,7,1,8,9,2,10,3,11,4,12]=>[12,4,11,3,10,2,9,8,1,7,6,5]
[5,6,7,1,8,9,2,10,3,4,11,12]=>[12,11,4,3,10,2,9,8,1,7,6,5]
[5,6,7,1,8,9,2,3,10,11,4,12]=>[12,4,11,10,3,2,9,8,1,7,6,5]
[5,6,7,1,8,9,2,3,10,4,11,12]=>[12,11,4,10,3,2,9,8,1,7,6,5]
[4,5,6,1,7,8,2,3,9,10,11,12]=>[12,11,10,9,3,2,8,7,1,6,5,4]
[5,6,7,1,8,2,9,10,3,11,4,12]=>[12,4,11,3,10,9,2,8,1,7,6,5]
[5,6,7,1,8,2,9,10,3,4,11,12]=>[12,11,4,3,10,9,2,8,1,7,6,5]
[5,6,7,1,8,2,9,3,10,11,4,12]=>[12,4,11,10,3,9,2,8,1,7,6,5]
[5,6,7,1,8,2,9,3,10,4,11,12]=>[12,11,4,10,3,9,2,8,1,7,6,5]
[4,5,6,1,7,2,8,3,9,10,11,12]=>[12,11,10,9,3,8,2,7,1,6,5,4]
[4,5,6,1,7,2,8,9,10,11,3,12]=>[12,3,11,10,9,8,2,7,1,6,5,4]
[4,5,6,1,7,2,8,9,10,3,11,12]=>[12,11,3,10,9,8,2,7,1,6,5,4]
[4,5,6,1,7,2,8,9,3,10,11,12]=>[12,11,10,3,9,8,2,7,1,6,5,4]
[3,4,5,1,6,2,7,8,9,10,11,12]=>[12,11,10,9,8,7,2,6,1,5,4,3]
[4,5,6,1,7,8,9,10,2,11,3,12]=>[12,3,11,2,10,9,8,7,1,6,5,4]
[4,5,6,1,7,8,9,10,2,3,11,12]=>[12,11,3,2,10,9,8,7,1,6,5,4]
[4,5,6,1,7,8,9,2,10,11,3,12]=>[12,3,11,10,2,9,8,7,1,6,5,4]
[4,5,6,1,7,8,9,2,10,3,11,12]=>[12,11,3,10,2,9,8,7,1,6,5,4]
[4,5,6,1,7,8,9,2,3,10,11,12]=>[12,11,10,3,2,9,8,7,1,6,5,4]
[4,5,6,1,7,8,2,9,10,11,3,12]=>[12,3,11,10,9,2,8,7,1,6,5,4]
[4,5,6,1,7,8,2,9,10,3,11,12]=>[12,11,3,10,9,2,8,7,1,6,5,4]
[4,5,6,1,7,8,2,9,3,10,11,12]=>[12,11,10,3,9,2,8,7,1,6,5,4]
[3,4,5,1,6,7,2,8,9,10,11,12]=>[12,11,10,9,8,2,7,6,1,5,4,3]
[3,4,5,1,6,7,8,9,10,11,2,12]=>[12,2,11,10,9,8,7,6,1,5,4,3]
[3,4,5,1,6,7,8,9,10,2,11,12]=>[12,11,2,10,9,8,7,6,1,5,4,3]
[3,4,5,1,6,7,8,9,2,10,11,12]=>[12,11,10,2,9,8,7,6,1,5,4,3]
[3,4,5,1,6,7,8,2,9,10,11,12]=>[12,11,10,9,2,8,7,6,1,5,4,3]
[2,3,4,1,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,1,4,3,2]
[4,5,6,7,8,9,1,10,2,11,3,12]=>[12,3,11,2,10,1,9,8,7,6,5,4]
[4,5,6,7,8,9,1,10,2,3,11,12]=>[12,11,3,2,10,1,9,8,7,6,5,4]
[4,5,6,7,8,9,1,2,10,11,3,12]=>[12,3,11,10,2,1,9,8,7,6,5,4]
[4,5,6,7,8,9,1,2,10,3,11,12]=>[12,11,3,10,2,1,9,8,7,6,5,4]
[4,5,6,7,8,9,1,2,3,10,11,12]=>[12,11,10,3,2,1,9,8,7,6,5,4]
[4,5,6,7,8,1,9,10,2,11,3,12]=>[12,3,11,2,10,9,1,8,7,6,5,4]
[4,5,6,7,8,1,9,10,2,3,11,12]=>[12,11,3,2,10,9,1,8,7,6,5,4]
[4,5,6,7,8,1,9,2,10,11,3,12]=>[12,3,11,10,2,9,1,8,7,6,5,4]
[4,5,6,7,8,1,9,2,10,3,11,12]=>[12,11,3,10,2,9,1,8,7,6,5,4]
[4,5,6,7,8,1,9,2,3,10,11,12]=>[12,11,10,3,2,9,1,8,7,6,5,4]
[4,5,6,7,8,1,2,9,10,11,3,12]=>[12,3,11,10,9,2,1,8,7,6,5,4]
[4,5,6,7,8,1,2,9,10,3,11,12]=>[12,11,3,10,9,2,1,8,7,6,5,4]
[4,5,6,7,8,1,2,9,3,10,11,12]=>[12,11,10,3,9,2,1,8,7,6,5,4]
[3,4,5,6,7,1,2,8,9,10,11,12]=>[12,11,10,9,8,2,1,7,6,5,4,3]
[4,5,6,7,1,8,9,10,2,11,3,12]=>[12,3,11,2,10,9,8,1,7,6,5,4]
[4,5,6,7,1,8,9,10,2,3,11,12]=>[12,11,3,2,10,9,8,1,7,6,5,4]
[4,5,6,7,1,8,9,2,10,11,3,12]=>[12,3,11,10,2,9,8,1,7,6,5,4]
[4,5,6,7,1,8,9,2,10,3,11,12]=>[12,11,3,10,2,9,8,1,7,6,5,4]
[4,5,6,7,1,8,9,2,3,10,11,12]=>[12,11,10,3,2,9,8,1,7,6,5,4]
[4,5,6,7,1,8,2,9,10,11,3,12]=>[12,3,11,10,9,2,8,1,7,6,5,4]
[4,5,6,7,1,8,2,9,10,3,11,12]=>[12,11,3,10,9,2,8,1,7,6,5,4]
[4,5,6,7,1,8,2,9,3,10,11,12]=>[12,11,10,3,9,2,8,1,7,6,5,4]
[3,4,5,6,1,7,2,8,9,10,11,12]=>[12,11,10,9,8,2,7,1,6,5,4,3]
[3,4,5,6,1,7,8,9,10,11,2,12]=>[12,2,11,10,9,8,7,1,6,5,4,3]
[3,4,5,6,1,7,8,9,10,2,11,12]=>[12,11,2,10,9,8,7,1,6,5,4,3]
[3,4,5,6,1,7,8,9,2,10,11,12]=>[12,11,10,2,9,8,7,1,6,5,4,3]
[3,4,5,6,1,7,8,2,9,10,11,12]=>[12,11,10,9,2,8,7,1,6,5,4,3]
[3,4,5,6,7,8,9,10,1,11,2,12]=>[12,2,11,1,10,9,8,7,6,5,4,3]
[3,4,5,6,7,8,9,10,1,2,11,12]=>[12,11,2,1,10,9,8,7,6,5,4,3]
[3,4,5,6,7,8,9,1,10,11,2,12]=>[12,2,11,10,1,9,8,7,6,5,4,3]
[3,4,5,6,7,8,9,1,10,2,11,12]=>[12,11,2,10,1,9,8,7,6,5,4,3]
[3,4,5,6,7,8,9,1,2,10,11,12]=>[12,11,10,2,1,9,8,7,6,5,4,3]
[3,4,5,6,7,8,1,9,10,11,2,12]=>[12,2,11,10,9,1,8,7,6,5,4,3]
[3,4,5,6,7,8,1,9,10,2,11,12]=>[12,11,2,10,9,1,8,7,6,5,4,3]
[3,4,5,6,7,8,1,9,2,10,11,12]=>[12,11,10,2,9,1,8,7,6,5,4,3]
[3,4,5,6,7,8,1,2,9,10,11,12]=>[12,11,10,9,2,1,8,7,6,5,4,3]
[3,4,5,6,7,1,8,9,10,11,2,12]=>[12,2,11,10,9,8,1,7,6,5,4,3]
[3,4,5,6,7,1,8,9,10,2,11,12]=>[12,11,2,10,9,8,1,7,6,5,4,3]
[3,4,5,6,7,1,8,9,2,10,11,12]=>[12,11,10,2,9,8,1,7,6,5,4,3]
[3,4,5,6,7,1,8,2,9,10,11,12]=>[12,11,10,9,2,8,1,7,6,5,4,3]
[2,3,4,5,6,1,7,8,9,10,11,12]=>[12,11,10,9,8,7,1,6,5,4,3,2]
[2,3,4,5,6,7,8,9,10,1,11,12]=>[12,11,1,10,9,8,7,6,5,4,3,2]
[2,3,4,5,6,7,8,1,9,10,11,12]=>[12,11,10,9,1,8,7,6,5,4,3,2]
[2,12,4,1,6,3,8,5,10,7,11,9]=>[9,11,7,10,5,8,3,6,1,4,12,2]
[3,1,4,12,6,2,8,5,10,7,11,9]=>[9,11,7,10,5,8,2,6,12,4,1,3]
[2,12,5,3,6,1,8,4,10,7,11,9]=>[9,11,7,10,4,8,1,6,3,5,12,2]
[3,5,6,2,1,12,8,4,10,7,11,9]=>[9,11,7,10,4,8,12,1,2,6,5,3]
[4,1,2,5,6,12,8,3,10,7,11,9]=>[9,11,7,10,3,8,12,6,5,2,1,4]
[2,12,4,1,7,5,8,3,10,6,11,9]=>[9,11,6,10,3,8,5,7,1,4,12,2]
[3,1,4,12,7,5,8,2,10,6,11,9]=>[9,11,6,10,2,8,5,7,12,4,1,3]
[2,12,5,7,8,4,3,1,10,6,11,9]=>[9,11,6,10,1,3,4,8,7,5,12,2]
[3,5,8,7,1,4,2,12,10,6,11,9]=>[9,11,6,10,12,2,4,1,7,8,5,3]
[4,1,7,5,8,3,2,12,10,6,11,9]=>[9,11,6,10,12,2,3,8,5,7,1,4]
[2,12,6,3,4,7,8,1,10,5,11,9]=>[9,11,5,10,1,8,7,4,3,6,12,2]
[3,6,8,2,4,7,1,12,10,5,11,9]=>[9,11,5,10,12,1,7,4,2,8,6,3]
[4,6,2,7,3,1,8,12,10,5,11,9]=>[9,11,5,10,12,8,1,3,7,2,6,4]
[5,1,2,3,6,7,8,12,10,4,11,9]=>[9,11,4,10,12,8,7,6,3,2,1,5]
[2,12,4,1,6,3,9,7,10,5,11,8]=>[8,11,5,10,7,9,3,6,1,4,12,2]
[3,1,4,12,6,2,9,7,10,5,11,8]=>[8,11,5,10,7,9,2,6,12,4,1,3]
[2,12,5,3,6,1,9,7,10,4,11,8]=>[8,11,4,10,7,9,1,6,3,5,12,2]
[3,5,6,2,1,12,9,7,10,4,11,8]=>[8,11,4,10,7,9,12,1,2,6,5,3]
[4,1,2,5,6,12,9,7,10,3,11,8]=>[8,11,3,10,7,9,12,6,5,2,1,4]
[2,12,4,1,7,9,10,6,5,3,11,8]=>[8,11,3,5,6,10,9,7,1,4,12,2]
[3,1,4,12,7,9,10,6,5,2,11,8]=>[8,11,2,5,6,10,9,7,12,4,1,3]
[2,12,5,7,10,9,3,6,4,1,11,8]=>[8,11,1,4,6,3,9,10,7,5,12,2]
[3,5,10,7,1,9,2,6,4,12,11,8]=>[8,11,12,4,6,2,9,1,7,10,5,3]
[4,1,7,5,10,9,2,6,3,12,11,8]=>[8,11,12,3,6,2,9,10,5,7,1,4]
[2,12,6,3,9,7,10,5,4,1,11,8]=>[8,11,1,4,5,10,7,9,3,6,12,2]
[3,6,10,2,9,7,1,5,4,12,11,8]=>[8,11,12,4,5,1,7,9,2,10,6,3]
[4,6,2,7,9,1,10,5,3,12,11,8]=>[8,11,12,3,5,10,1,9,7,2,6,4]
[5,1,2,9,6,7,10,4,3,12,11,8]=>[8,11,12,3,4,10,7,6,9,2,1,5]
[2,12,4,1,8,5,6,9,10,3,11,7]=>[7,11,3,10,9,6,5,8,1,4,12,2]
[3,1,4,12,8,5,6,9,10,2,11,7]=>[7,11,2,10,9,6,5,8,12,4,1,3]
[2,12,5,8,10,4,6,9,3,1,11,7]=>[7,11,1,3,9,6,4,10,8,5,12,2]
[3,5,10,8,1,4,6,9,2,12,11,7]=>[7,11,12,2,9,6,4,1,8,10,5,3]
[4,1,8,5,10,3,6,9,2,12,11,7]=>[7,11,12,2,9,6,3,10,5,8,1,4]
[2,12,6,8,4,9,5,3,10,1,11,7]=>[7,11,1,10,3,5,9,4,8,6,12,2]
[3,6,10,8,4,9,5,2,1,12,11,7]=>[7,11,12,1,2,5,9,4,8,10,6,3]
[4,6,8,9,3,1,5,2,10,12,11,7]=>[7,11,12,10,2,5,1,3,9,8,6,4]
[5,1,8,3,6,9,4,2,10,12,11,7]=>[7,11,12,10,2,4,9,6,3,8,1,5]
[2,12,7,3,4,5,8,9,10,1,11,6]=>[6,11,1,10,9,8,5,4,3,7,12,2]
[3,7,10,2,4,5,8,9,1,12,11,6]=>[6,11,12,1,9,8,5,4,2,10,7,3]
[4,7,2,9,3,5,8,1,10,12,11,6]=>[6,11,12,10,1,8,5,3,9,2,7,4]
[5,7,2,3,8,4,1,9,10,12,11,6]=>[6,11,12,10,9,1,4,8,3,2,7,5]
[6,1,2,3,4,7,8,9,10,12,11,5]=>[5,11,12,10,9,8,7,4,3,2,1,6]
[2,12,4,1,6,3,8,5,10,9,11,7]=>[7,11,9,10,5,8,3,6,1,4,12,2]
[3,1,4,12,6,2,8,5,10,9,11,7]=>[7,11,9,10,5,8,2,6,12,4,1,3]
[2,12,5,3,6,1,8,4,10,9,11,7]=>[7,11,9,10,4,8,1,6,3,5,12,2]
[3,5,6,2,1,12,8,4,10,9,11,7]=>[7,11,9,10,4,8,12,1,2,6,5,3]
[4,1,2,5,6,12,8,3,10,9,11,7]=>[7,11,9,10,3,8,12,6,5,2,1,4]
[2,12,4,1,7,5,8,3,10,9,11,6]=>[6,11,9,10,3,8,5,7,1,4,12,2]
[3,1,4,12,7,5,8,2,10,9,11,6]=>[6,11,9,10,2,8,5,7,12,4,1,3]
[2,12,5,7,8,4,3,1,10,9,11,6]=>[6,11,9,10,1,3,4,8,7,5,12,2]
[3,5,8,7,1,4,2,12,10,9,11,6]=>[6,11,9,10,12,2,4,1,7,8,5,3]
[4,1,7,5,8,3,2,12,10,9,11,6]=>[6,11,9,10,12,2,3,8,5,7,1,4]
[2,12,6,3,4,7,8,1,10,9,11,5]=>[5,11,9,10,1,8,7,4,3,6,12,2]
[3,6,8,2,4,7,1,12,10,9,11,5]=>[5,11,9,10,12,1,7,4,2,8,6,3]
[4,6,2,7,3,1,8,12,10,9,11,5]=>[5,11,9,10,12,8,1,3,7,2,6,4]
[5,1,2,3,6,7,8,12,10,9,11,4]=>[4,11,9,10,12,8,7,6,3,2,1,5]
[2,12,4,1,6,3,9,10,11,8,7,5]=>[5,7,8,11,10,9,3,6,1,4,12,2]
[3,1,4,12,6,2,9,10,11,8,7,5]=>[5,7,8,11,10,9,2,6,12,4,1,3]
[2,12,5,3,6,1,9,10,11,8,7,4]=>[4,7,8,11,10,9,1,6,3,5,12,2]
[3,5,6,2,1,12,9,10,11,8,7,4]=>[4,7,8,11,10,9,12,1,2,6,5,3]
[4,1,2,5,6,12,9,10,11,8,7,3]=>[3,7,8,11,10,9,12,6,5,2,1,4]
[2,12,4,1,7,9,11,10,5,8,6,3]=>[3,6,8,5,10,11,9,7,1,4,12,2]
[3,1,4,12,7,9,11,10,5,8,6,2]=>[2,6,8,5,10,11,9,7,12,4,1,3]
[2,12,5,7,11,9,3,10,4,8,6,1]=>[1,6,8,4,10,3,9,11,7,5,12,2]
[3,5,11,7,1,9,2,10,4,8,6,12]=>[12,6,8,4,10,2,9,1,7,11,5,3]
[4,1,7,5,11,9,2,10,3,8,6,12]=>[12,6,8,3,10,2,9,11,5,7,1,4]
[2,12,6,3,9,7,11,10,4,8,5,1]=>[1,5,8,4,10,11,7,9,3,6,12,2]
[3,6,11,2,9,7,1,10,4,8,5,12]=>[12,5,8,4,10,1,7,9,2,11,6,3]
[4,6,2,7,9,1,11,10,3,8,5,12]=>[12,5,8,3,10,11,1,9,7,2,6,4]
[5,1,2,9,6,7,11,10,3,8,4,12]=>[12,4,8,3,10,11,7,6,9,2,1,5]
[2,12,4,1,8,5,10,9,11,7,6,3]=>[3,6,7,11,9,10,5,8,1,4,12,2]
[3,1,4,12,8,5,10,9,11,7,6,2]=>[2,6,7,11,9,10,5,8,12,4,1,3]
[2,12,5,8,11,4,10,9,3,7,6,1]=>[1,6,7,3,9,10,4,11,8,5,12,2]
[3,5,11,8,1,4,10,9,2,7,6,12]=>[12,6,7,2,9,10,4,1,8,11,5,3]
[4,1,8,5,11,3,10,9,2,7,6,12]=>[12,6,7,2,9,10,3,11,5,8,1,4]
[2,12,6,8,4,9,10,3,11,7,5,1]=>[1,5,7,11,3,10,9,4,8,6,12,2]
[3,6,11,8,4,9,10,2,1,7,5,12]=>[12,5,7,1,2,10,9,4,8,11,6,3]
[4,6,8,9,3,1,10,2,11,7,5,12]=>[12,5,7,11,2,10,1,3,9,8,6,4]
[5,1,8,3,6,9,10,2,11,7,4,12]=>[12,4,7,11,2,10,9,6,3,8,1,5]
[2,12,7,3,4,10,8,9,11,6,5,1]=>[1,5,6,11,9,8,10,4,3,7,12,2]
[3,7,11,2,4,10,8,9,1,6,5,12]=>[12,5,6,1,9,8,10,4,2,11,7,3]
[4,7,2,9,3,10,8,1,11,6,5,12]=>[12,5,6,11,1,8,10,3,9,2,7,4]
[5,7,2,3,8,10,1,9,11,6,4,12]=>[12,4,6,11,9,1,10,8,3,2,7,5]
[6,1,2,3,10,7,8,9,11,5,4,12]=>[12,4,5,11,9,8,7,10,3,2,1,6]
[2,12,4,1,6,3,9,7,8,10,11,5]=>[5,11,10,8,7,9,3,6,1,4,12,2]
[3,1,4,12,6,2,9,7,8,10,11,5]=>[5,11,10,8,7,9,2,6,12,4,1,3]
[2,12,5,3,6,1,9,7,8,10,11,4]=>[4,11,10,8,7,9,1,6,3,5,12,2]
[3,5,6,2,1,12,9,7,8,10,11,4]=>[4,11,10,8,7,9,12,1,2,6,5,3]
[4,1,2,5,6,12,9,7,8,10,11,3]=>[3,11,10,8,7,9,12,6,5,2,1,4]
[2,12,4,1,7,9,11,6,8,10,5,3]=>[3,5,10,8,6,11,9,7,1,4,12,2]
[3,1,4,12,7,9,11,6,8,10,5,2]=>[2,5,10,8,6,11,9,7,12,4,1,3]
[2,12,5,7,11,9,3,6,8,10,4,1]=>[1,4,10,8,6,3,9,11,7,5,12,2]
[3,5,11,7,1,9,2,6,8,10,4,12]=>[12,4,10,8,6,2,9,1,7,11,5,3]
[4,1,7,5,11,9,2,6,8,10,3,12]=>[12,3,10,8,6,2,9,11,5,7,1,4]
[2,12,6,3,9,7,11,5,8,10,4,1]=>[1,4,10,8,5,11,7,9,3,6,12,2]
[3,6,11,2,9,7,1,5,8,10,4,12]=>[12,4,10,8,5,1,7,9,2,11,6,3]
[4,6,2,7,9,1,11,5,8,10,3,12]=>[12,3,10,8,5,11,1,9,7,2,6,4]
[5,1,2,9,6,7,11,4,8,10,3,12]=>[12,3,10,8,4,11,7,6,9,2,1,5]
[2,12,4,1,8,9,6,10,7,5,11,3]=>[3,11,5,7,10,6,9,8,1,4,12,2]
[3,1,4,12,8,9,6,10,7,5,11,2]=>[2,11,5,7,10,6,9,8,12,4,1,3]
[2,12,5,8,11,9,6,10,7,4,3,1]=>[1,3,4,7,10,6,9,11,8,5,12,2]
[3,5,11,8,1,9,6,10,7,4,2,12]=>[12,2,4,7,10,6,9,1,8,11,5,3]
[4,1,8,5,11,9,6,10,7,3,2,12]=>[12,2,3,7,10,6,9,11,5,8,1,4]
[2,12,6,8,9,10,5,3,7,4,11,1]=>[1,11,4,7,3,5,10,9,8,6,12,2]
[3,6,11,8,9,10,5,2,7,4,1,12]=>[12,1,4,7,2,5,10,9,8,11,6,3]
[4,6,8,10,9,1,5,2,7,3,11,12]=>[12,11,3,7,2,5,1,9,10,8,6,4]
[5,1,8,9,6,10,4,2,7,3,11,12]=>[12,11,3,7,2,4,10,6,9,8,1,5]
[2,12,7,3,9,5,8,10,6,4,11,1]=>[1,11,4,6,10,8,5,9,3,7,12,2]
[3,7,11,2,9,5,8,10,6,4,1,12]=>[12,1,4,6,10,8,5,9,2,11,7,3]
[4,7,2,10,9,5,8,1,6,3,11,12]=>[12,11,3,6,1,8,5,9,10,2,7,4]
[5,7,2,9,8,4,1,10,6,3,11,12]=>[12,11,3,6,10,1,4,8,9,2,7,5]
[6,1,2,9,4,7,8,10,5,3,11,12]=>[12,11,3,5,10,8,7,4,9,2,1,6]
[2,12,4,1,8,5,6,7,9,10,11,3]=>[3,11,10,9,7,6,5,8,1,4,12,2]
[3,1,4,12,8,5,6,7,9,10,11,2]=>[2,11,10,9,7,6,5,8,12,4,1,3]
[2,12,5,8,11,4,6,7,9,10,3,1]=>[1,3,10,9,7,6,4,11,8,5,12,2]
[3,5,11,8,1,4,6,7,9,10,2,12]=>[12,2,10,9,7,6,4,1,8,11,5,3]
[4,1,8,5,11,3,6,7,9,10,2,12]=>[12,2,10,9,7,6,3,11,5,8,1,4]
[2,12,6,8,4,10,5,7,9,3,11,1]=>[1,11,3,9,7,5,10,4,8,6,12,2]
[3,6,11,8,4,10,5,7,9,2,1,12]=>[12,1,2,9,7,5,10,4,8,11,6,3]
[4,6,8,10,3,1,5,7,9,2,11,12]=>[12,11,2,9,7,5,1,3,10,8,6,4]
[5,1,8,3,6,10,4,7,9,2,11,12]=>[12,11,2,9,7,4,10,6,3,8,1,5]
[2,12,7,8,4,5,9,6,3,10,11,1]=>[1,11,10,3,6,9,5,4,8,7,12,2]
[3,7,11,8,4,5,9,6,2,10,1,12]=>[12,1,10,2,6,9,5,4,8,11,7,3]
[4,7,8,10,3,5,9,6,2,1,11,12]=>[12,11,1,2,6,9,5,3,10,8,7,4]
[5,7,8,3,9,4,1,6,2,10,11,12]=>[12,11,10,2,6,1,4,9,3,8,7,5]
[6,1,8,3,4,7,9,5,2,10,11,12]=>[12,11,10,2,5,9,7,4,3,8,1,6]
[2,12,7,3,4,5,6,8,9,10,11,1]=>[1,11,10,9,8,6,5,4,3,7,12,2]
[3,7,11,2,4,5,6,8,9,10,1,12]=>[12,1,10,9,8,6,5,4,2,11,7,3]
[4,7,2,10,3,5,6,8,9,1,11,12]=>[12,11,1,9,8,6,5,3,10,2,7,4]
[5,7,2,3,9,4,6,8,1,10,11,12]=>[12,11,10,1,8,6,4,9,3,2,7,5]
[6,7,2,3,4,8,5,1,9,10,11,12]=>[12,11,10,9,1,5,8,4,3,2,7,6]
[12,4,3,11,10,5,2,9,8,6,1,7]=>[7,1,6,8,9,2,5,10,11,3,4,12]
[12,4,3,11,10,5,2,1,9,8,6,7]=>[7,6,8,9,1,2,5,10,11,3,4,12]
[12,4,3,2,11,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,11,2,3,4,12]
[12,4,3,2,11,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,11,2,3,4,12]
[12,4,3,2,1,11,10,5,9,8,6,7]=>[7,6,8,9,5,10,11,1,2,3,4,12]
[3,12,4,11,10,5,2,9,8,6,1,7]=>[7,1,6,8,9,2,5,10,11,4,12,3]
[3,12,4,11,10,5,2,1,9,8,6,7]=>[7,6,8,9,1,2,5,10,11,4,12,3]
[3,12,4,2,11,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,11,2,4,12,3]
[3,12,4,2,11,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,11,2,4,12,3]
[3,12,4,2,1,11,10,5,9,8,6,7]=>[7,6,8,9,5,10,11,1,2,4,12,3]
[3,2,12,4,11,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,11,4,12,2,3]
[3,2,12,4,11,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,11,4,12,2,3]
[3,2,12,4,1,11,10,5,9,8,6,7]=>[7,6,8,9,5,10,11,1,4,12,2,3]
[3,2,1,12,4,11,10,5,9,8,6,7]=>[7,6,8,9,5,10,11,4,12,1,2,3]
[12,11,4,3,10,5,2,9,8,6,1,7]=>[7,1,6,8,9,2,5,10,3,4,11,12]
[12,11,4,3,10,5,2,1,9,8,6,7]=>[7,6,8,9,1,2,5,10,3,4,11,12]
[12,11,4,3,2,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,2,3,4,11,12]
[12,11,4,3,2,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,2,3,4,11,12]
[12,11,4,3,2,1,10,5,9,8,6,7]=>[7,6,8,9,5,10,1,2,3,4,11,12]
[3,12,11,4,10,5,2,9,8,6,1,7]=>[7,1,6,8,9,2,5,10,4,11,12,3]
[3,12,11,4,10,5,2,1,9,8,6,7]=>[7,6,8,9,1,2,5,10,4,11,12,3]
[3,12,11,4,2,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,2,4,11,12,3]
[3,12,11,4,2,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,2,4,11,12,3]
[3,12,11,4,2,1,10,5,9,8,6,7]=>[7,6,8,9,5,10,1,2,4,11,12,3]
[3,2,12,11,4,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,4,11,12,2,3]
[3,2,12,11,4,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,4,11,12,2,3]
[3,2,12,11,4,1,10,5,9,8,6,7]=>[7,6,8,9,5,10,1,4,11,12,2,3]
[3,2,1,12,11,4,10,5,9,8,6,7]=>[7,6,8,9,5,10,4,11,12,1,2,3]
[12,3,11,4,10,5,2,9,8,6,1,7]=>[7,1,6,8,9,2,5,10,4,11,3,12]
[12,3,11,4,10,5,2,1,9,8,6,7]=>[7,6,8,9,1,2,5,10,4,11,3,12]
[12,3,11,4,2,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,2,4,11,3,12]
[12,3,11,4,2,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,2,4,11,3,12]
[12,3,11,4,2,1,10,5,9,8,6,7]=>[7,6,8,9,5,10,1,2,4,11,3,12]
[12,3,2,11,4,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,4,11,2,3,12]
[12,3,2,11,4,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,4,11,2,3,12]
[12,3,2,11,4,1,10,5,9,8,6,7]=>[7,6,8,9,5,10,1,4,11,2,3,12]
[12,3,2,1,11,4,10,5,9,8,6,7]=>[7,6,8,9,5,10,4,11,1,2,3,12]
[2,12,3,11,4,10,5,9,8,6,1,7]=>[7,1,6,8,9,5,10,4,11,3,12,2]
[2,12,3,11,4,10,5,1,9,8,6,7]=>[7,6,8,9,1,5,10,4,11,3,12,2]
[2,12,3,11,4,1,10,5,9,8,6,7]=>[7,6,8,9,5,10,1,4,11,3,12,2]
[2,12,3,1,11,4,10,5,9,8,6,7]=>[7,6,8,9,5,10,4,11,1,3,12,2]
[2,1,12,3,11,4,10,5,9,8,6,7]=>[7,6,8,9,5,10,4,11,3,12,1,2]
[12,4,3,11,10,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,10,11,3,4,12]
[12,4,3,11,10,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,10,11,3,4,12]
[12,4,3,2,11,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,11,2,3,4,12]
[12,4,3,2,11,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,11,2,3,4,12]
[12,4,3,2,1,11,10,9,5,8,6,7]=>[7,6,8,5,9,10,11,1,2,3,4,12]
[3,12,4,11,10,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,10,11,4,12,3]
[3,12,4,11,10,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,10,11,4,12,3]
[3,12,4,2,11,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,11,2,4,12,3]
[3,12,4,2,11,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,11,2,4,12,3]
[3,12,4,2,1,11,10,9,5,8,6,7]=>[7,6,8,5,9,10,11,1,2,4,12,3]
[3,2,12,4,11,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,11,4,12,2,3]
[3,2,12,4,11,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,11,4,12,2,3]
[3,2,12,4,1,11,10,9,5,8,6,7]=>[7,6,8,5,9,10,11,1,4,12,2,3]
[3,2,1,12,4,11,10,9,5,8,6,7]=>[7,6,8,5,9,10,11,4,12,1,2,3]
[12,11,4,3,10,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,10,3,4,11,12]
[12,11,4,3,10,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,10,3,4,11,12]
[12,11,4,3,2,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,2,3,4,11,12]
[12,11,4,3,2,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,2,3,4,11,12]
[12,11,4,3,2,1,10,9,5,8,6,7]=>[7,6,8,5,9,10,1,2,3,4,11,12]
[3,12,11,4,10,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,10,4,11,12,3]
[3,12,11,4,10,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,10,4,11,12,3]
[3,12,11,4,2,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,2,4,11,12,3]
[3,12,11,4,2,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,2,4,11,12,3]
[3,12,11,4,2,1,10,9,5,8,6,7]=>[7,6,8,5,9,10,1,2,4,11,12,3]
[3,2,12,11,4,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,4,11,12,2,3]
[3,2,12,11,4,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,4,11,12,2,3]
[3,2,12,11,4,1,10,9,5,8,6,7]=>[7,6,8,5,9,10,1,4,11,12,2,3]
[3,2,1,12,11,4,10,9,5,8,6,7]=>[7,6,8,5,9,10,4,11,12,1,2,3]
[12,3,11,4,10,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,10,4,11,3,12]
[12,3,11,4,10,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,10,4,11,3,12]
[12,3,11,4,2,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,2,4,11,3,12]
[12,3,11,4,2,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,2,4,11,3,12]
[12,3,11,4,2,1,10,9,5,8,6,7]=>[7,6,8,5,9,10,1,2,4,11,3,12]
[12,3,2,11,4,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,4,11,2,3,12]
[12,3,2,11,4,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,4,11,2,3,12]
[12,3,2,11,4,1,10,9,5,8,6,7]=>[7,6,8,5,9,10,1,4,11,2,3,12]
[12,3,2,1,11,4,10,9,5,8,6,7]=>[7,6,8,5,9,10,4,11,1,2,3,12]
[2,12,3,11,4,10,9,5,8,6,1,7]=>[7,1,6,8,5,9,10,4,11,3,12,2]
[2,12,3,11,4,10,9,5,1,8,6,7]=>[7,6,8,1,5,9,10,4,11,3,12,2]
[2,12,3,11,4,1,10,9,5,8,6,7]=>[7,6,8,5,9,10,1,4,11,3,12,2]
[2,12,3,1,11,4,10,9,5,8,6,7]=>[7,6,8,5,9,10,4,11,1,3,12,2]
[2,1,12,3,11,4,10,9,5,8,6,7]=>[7,6,8,5,9,10,4,11,3,12,1,2]
[12,11,10,4,3,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,3,4,10,11,12]
[12,11,10,4,3,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,3,4,10,11,12]
[12,11,10,4,3,2,9,5,8,6,1,7]=>[7,1,6,8,5,9,2,3,4,10,11,12]
[12,11,10,4,3,2,9,5,1,8,6,7]=>[7,6,8,1,5,9,2,3,4,10,11,12]
[12,11,10,4,3,2,1,9,5,8,6,7]=>[7,6,8,5,9,1,2,3,4,10,11,12]
[3,12,11,10,4,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,4,10,11,12,3]
[3,12,11,10,4,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,4,10,11,12,3]
[3,12,11,10,4,2,9,5,8,6,1,7]=>[7,1,6,8,5,9,2,4,10,11,12,3]
[3,12,11,10,4,2,9,5,1,8,6,7]=>[7,6,8,1,5,9,2,4,10,11,12,3]
[3,12,11,10,4,2,1,9,5,8,6,7]=>[7,6,8,5,9,1,2,4,10,11,12,3]
[3,2,12,11,10,4,9,5,8,6,1,7]=>[7,1,6,8,5,9,4,10,11,12,2,3]
[3,2,12,11,10,4,9,5,1,8,6,7]=>[7,6,8,1,5,9,4,10,11,12,2,3]
[3,2,12,11,10,4,1,9,5,8,6,7]=>[7,6,8,5,9,1,4,10,11,12,2,3]
[3,2,1,12,11,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,11,12,1,2,3]
[12,3,11,10,4,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,4,10,11,3,12]
[12,3,11,10,4,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,4,10,11,3,12]
[12,3,11,10,4,2,9,5,8,6,1,7]=>[7,1,6,8,5,9,2,4,10,11,3,12]
[12,3,11,10,4,2,9,5,1,8,6,7]=>[7,6,8,1,5,9,2,4,10,11,3,12]
[12,3,11,10,4,2,1,9,5,8,6,7]=>[7,6,8,5,9,1,2,4,10,11,3,12]
[12,3,2,11,10,4,9,5,8,6,1,7]=>[7,1,6,8,5,9,4,10,11,2,3,12]
[12,3,2,11,10,4,9,5,1,8,6,7]=>[7,6,8,1,5,9,4,10,11,2,3,12]
[12,3,2,11,10,4,1,9,5,8,6,7]=>[7,6,8,5,9,1,4,10,11,2,3,12]
[12,3,2,1,11,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,11,1,2,3,12]
[2,12,3,11,10,4,9,5,8,6,1,7]=>[7,1,6,8,5,9,4,10,11,3,12,2]
[2,12,3,11,10,4,9,5,1,8,6,7]=>[7,6,8,1,5,9,4,10,11,3,12,2]
[2,12,3,11,10,4,1,9,5,8,6,7]=>[7,6,8,5,9,1,4,10,11,3,12,2]
[2,12,3,1,11,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,11,1,3,12,2]
[2,1,12,3,11,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,11,3,12,1,2]
[12,11,3,10,4,9,5,2,8,6,1,7]=>[7,1,6,8,2,5,9,4,10,3,11,12]
[12,11,3,10,4,9,5,2,1,8,6,7]=>[7,6,8,1,2,5,9,4,10,3,11,12]
[12,11,3,10,4,2,9,5,8,6,1,7]=>[7,1,6,8,5,9,2,4,10,3,11,12]
[12,11,3,10,4,2,9,5,1,8,6,7]=>[7,6,8,1,5,9,2,4,10,3,11,12]
[12,11,3,10,4,2,1,9,5,8,6,7]=>[7,6,8,5,9,1,2,4,10,3,11,12]
[12,11,3,2,10,4,9,5,8,6,1,7]=>[7,1,6,8,5,9,4,10,2,3,11,12]
[12,11,3,2,10,4,9,5,1,8,6,7]=>[7,6,8,1,5,9,4,10,2,3,11,12]
[12,11,3,2,10,4,1,9,5,8,6,7]=>[7,6,8,5,9,1,4,10,2,3,11,12]
[12,11,3,2,1,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,1,2,3,11,12]
[2,12,11,3,10,4,9,5,8,6,1,7]=>[7,1,6,8,5,9,4,10,3,11,12,2]
[2,12,11,3,10,4,9,5,1,8,6,7]=>[7,6,8,1,5,9,4,10,3,11,12,2]
[2,12,11,3,10,4,1,9,5,8,6,7]=>[7,6,8,5,9,1,4,10,3,11,12,2]
[2,12,11,3,1,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,1,3,11,12,2]
[2,1,12,11,3,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,3,11,12,1,2]
[12,2,11,3,10,4,9,5,8,6,1,7]=>[7,1,6,8,5,9,4,10,3,11,2,12]
[12,2,11,3,10,4,9,5,1,8,6,7]=>[7,6,8,1,5,9,4,10,3,11,2,12]
[12,2,11,3,10,4,1,9,5,8,6,7]=>[7,6,8,5,9,1,4,10,3,11,2,12]
[12,2,11,3,1,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,1,3,11,2,12]
[10,1,12,9,4,3,5,6,8,7,11,2]=>[2,11,7,8,6,5,3,4,9,12,1,10]
[12,5,2,9,4,1,3,6,8,7,11,10]=>[10,11,7,8,6,3,1,4,9,2,5,12]
[10,7,2,1,3,4,6,5,12,9,11,8]=>[8,11,9,12,5,6,4,3,1,2,7,10]
[12,7,2,1,3,4,6,5,9,10,11,8]=>[8,11,10,9,5,6,4,3,1,2,7,12]
[12,9,2,1,8,5,3,4,6,7,11,10]=>[10,11,7,6,4,3,5,8,1,2,9,12]
[12,9,2,1,3,4,5,6,8,7,11,10]=>[10,11,7,8,6,5,4,3,1,2,9,12]
[12,9,2,3,4,1,5,6,8,7,11,10]=>[10,11,7,8,6,5,1,4,3,2,9,12]
[12,1,8,3,2,4,5,7,6,9,11,10]=>[10,11,9,6,7,5,4,2,3,8,1,12]
[1,11,8,3,2,4,5,7,6,10,9,12]=>[12,9,10,6,7,5,4,2,3,8,11,1]
[12,10,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,10,12]
[12,11,10,8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8,10,11,12]
[12,10,9,8,6,11,4,7,2,5,1,3]=>[3,1,5,2,7,4,11,6,8,9,10,12]
[12,11,9,8,6,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,6,8,9,11,12]
[12,11,10,9,8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8,9,10,11,12]
[12,10,8,7,6,11,4,9,2,5,1,3]=>[3,1,5,2,9,4,11,6,7,8,10,12]
[12,11,8,7,6,10,4,9,2,5,1,3]=>[3,1,5,2,9,4,10,6,7,8,11,12]
[12,10,9,7,6,11,4,8,2,5,1,3]=>[3,1,5,2,8,4,11,6,7,9,10,12]
[12,11,9,7,6,10,4,8,2,5,1,3]=>[3,1,5,2,8,4,10,6,7,9,11,12]
[12,11,10,9,7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7,9,10,11,12]
[12,10,9,8,7,6,4,11,2,5,1,3]=>[3,1,5,2,11,4,6,7,8,9,10,12]
[12,11,9,8,7,6,4,10,2,5,1,3]=>[3,1,5,2,10,4,6,7,8,9,11,12]
[12,11,10,8,7,6,4,9,2,5,1,3]=>[3,1,5,2,9,4,6,7,8,10,11,12]
[12,11,10,9,8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8,9,10,11,12]
[12,10,8,6,5,11,4,9,2,7,1,3]=>[3,1,7,2,9,4,11,5,6,8,10,12]
[12,11,8,6,5,10,4,9,2,7,1,3]=>[3,1,7,2,9,4,10,5,6,8,11,12]
[12,10,9,6,5,11,4,8,2,7,1,3]=>[3,1,7,2,8,4,11,5,6,9,10,12]
[12,11,9,6,5,10,4,8,2,7,1,3]=>[3,1,7,2,8,4,10,5,6,9,11,12]
[12,11,10,9,6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6,9,10,11,12]
[12,10,8,7,5,11,4,9,2,6,1,3]=>[3,1,6,2,9,4,11,5,7,8,10,12]
[12,11,8,7,5,10,4,9,2,6,1,3]=>[3,1,6,2,9,4,10,5,7,8,11,12]
[12,10,9,7,5,11,4,8,2,6,1,3]=>[3,1,6,2,8,4,11,5,7,9,10,12]
[12,11,9,7,5,10,4,8,2,6,1,3]=>[3,1,6,2,8,4,10,5,7,9,11,12]
[12,11,10,9,7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7,9,10,11,12]
[12,10,9,8,7,5,4,11,2,6,1,3]=>[3,1,6,2,11,4,5,7,8,9,10,12]
[12,11,9,8,7,5,4,10,2,6,1,3]=>[3,1,6,2,10,4,5,7,8,9,11,12]
[12,11,10,8,7,5,4,9,2,6,1,3]=>[3,1,6,2,9,4,5,7,8,10,11,12]
[12,11,10,9,8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8,9,10,11,12]
[12,10,8,7,6,5,4,11,2,9,1,3]=>[3,1,9,2,11,4,5,6,7,8,10,12]
[12,11,8,7,6,5,4,10,2,9,1,3]=>[3,1,9,2,10,4,5,6,7,8,11,12]
[12,10,9,7,6,5,4,11,2,8,1,3]=>[3,1,8,2,11,4,5,6,7,9,10,12]
[12,11,9,7,6,5,4,10,2,8,1,3]=>[3,1,8,2,10,4,5,6,7,9,11,12]
[12,11,10,7,6,5,4,9,2,8,1,3]=>[3,1,8,2,9,4,5,6,7,10,11,12]
[12,10,9,8,6,5,4,11,2,7,1,3]=>[3,1,7,2,11,4,5,6,8,9,10,12]
[12,11,9,8,6,5,4,10,2,7,1,3]=>[3,1,7,2,10,4,5,6,8,9,11,12]
[12,11,10,8,6,5,4,9,2,7,1,3]=>[3,1,7,2,9,4,5,6,8,10,11,12]
[12,11,10,9,8,6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6,8,9,10,11,12]
[12,10,9,8,7,6,5,4,2,11,1,3]=>[3,1,11,2,4,5,6,7,8,9,10,12]
[12,11,9,8,7,6,5,4,2,10,1,3]=>[3,1,10,2,4,5,6,7,8,9,11,12]
[12,11,10,8,7,6,5,4,2,9,1,3]=>[3,1,9,2,4,5,6,7,8,10,11,12]
[12,11,10,9,7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7,9,10,11,12]
[12,10,8,6,4,11,3,9,2,7,1,5]=>[5,1,7,2,9,3,11,4,6,8,10,12]
[12,11,8,6,4,10,3,9,2,7,1,5]=>[5,1,7,2,9,3,10,4,6,8,11,12]
[12,10,9,6,4,11,3,8,2,7,1,5]=>[5,1,7,2,8,3,11,4,6,9,10,12]
[12,11,9,6,4,10,3,8,2,7,1,5]=>[5,1,7,2,8,3,10,4,6,9,11,12]
[12,11,10,9,6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6,9,10,11,12]
[12,10,8,7,4,11,3,9,2,6,1,5]=>[5,1,6,2,9,3,11,4,7,8,10,12]
[12,11,8,7,4,10,3,9,2,6,1,5]=>[5,1,6,2,9,3,10,4,7,8,11,12]
[12,10,9,7,4,11,3,8,2,6,1,5]=>[5,1,6,2,8,3,11,4,7,9,10,12]
[12,11,9,7,4,10,3,8,2,6,1,5]=>[5,1,6,2,8,3,10,4,7,9,11,12]
[12,11,10,9,7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7,9,10,11,12]
[12,10,9,8,7,4,3,11,2,6,1,5]=>[5,1,6,2,11,3,4,7,8,9,10,12]
[12,11,9,8,7,4,3,10,2,6,1,5]=>[5,1,6,2,10,3,4,7,8,9,11,12]
[12,11,10,8,7,4,3,9,2,6,1,5]=>[5,1,6,2,9,3,4,7,8,10,11,12]
[12,11,10,9,8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8,9,10,11,12]
[12,10,8,6,5,11,3,9,2,7,1,4]=>[4,1,7,2,9,3,11,5,6,8,10,12]
[12,11,8,6,5,10,3,9,2,7,1,4]=>[4,1,7,2,9,3,10,5,6,8,11,12]
[12,10,9,6,5,11,3,8,2,7,1,4]=>[4,1,7,2,8,3,11,5,6,9,10,12]
[12,11,9,6,5,10,3,8,2,7,1,4]=>[4,1,7,2,8,3,10,5,6,9,11,12]
[12,11,10,9,6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6,9,10,11,12]
[12,10,8,7,5,11,3,9,2,6,1,4]=>[4,1,6,2,9,3,11,5,7,8,10,12]
[12,11,8,7,5,10,3,9,2,6,1,4]=>[4,1,6,2,9,3,10,5,7,8,11,12]
[12,10,9,7,5,11,3,8,2,6,1,4]=>[4,1,6,2,8,3,11,5,7,9,10,12]
[12,11,9,7,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,7,9,11,12]
[12,11,10,9,7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7,9,10,11,12]
[12,10,9,8,7,5,3,11,2,6,1,4]=>[4,1,6,2,11,3,5,7,8,9,10,12]
[12,11,9,8,7,5,3,10,2,6,1,4]=>[4,1,6,2,10,3,5,7,8,9,11,12]
[12,11,10,8,7,5,3,9,2,6,1,4]=>[4,1,6,2,9,3,5,7,8,10,11,12]
[12,11,10,9,8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8,9,10,11,12]
[12,10,8,7,6,5,3,11,2,9,1,4]=>[4,1,9,2,11,3,5,6,7,8,10,12]
[12,11,8,7,6,5,3,10,2,9,1,4]=>[4,1,9,2,10,3,5,6,7,8,11,12]
[12,10,9,7,6,5,3,11,2,8,1,4]=>[4,1,8,2,11,3,5,6,7,9,10,12]
[12,11,9,7,6,5,3,10,2,8,1,4]=>[4,1,8,2,10,3,5,6,7,9,11,12]
[12,11,10,7,6,5,3,9,2,8,1,4]=>[4,1,8,2,9,3,5,6,7,10,11,12]
[12,10,9,8,6,5,3,11,2,7,1,4]=>[4,1,7,2,11,3,5,6,8,9,10,12]
[12,11,9,8,6,5,3,10,2,7,1,4]=>[4,1,7,2,10,3,5,6,8,9,11,12]
[12,11,10,8,6,5,3,9,2,7,1,4]=>[4,1,7,2,9,3,5,6,8,10,11,12]
[12,11,10,9,8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8,9,10,11,12]
[12,10,9,8,7,6,5,3,2,11,1,4]=>[4,1,11,2,3,5,6,7,8,9,10,12]
[12,11,9,8,7,6,5,3,2,10,1,4]=>[4,1,10,2,3,5,6,7,8,9,11,12]
[12,11,10,8,7,6,5,3,2,9,1,4]=>[4,1,9,2,3,5,6,7,8,10,11,12]
[12,11,10,9,7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7,9,10,11,12]
[12,11,10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10,11,12]
[12,10,8,6,5,4,3,11,2,9,1,7]=>[7,1,9,2,11,3,4,5,6,8,10,12]
[12,11,8,6,5,4,3,10,2,9,1,7]=>[7,1,9,2,10,3,4,5,6,8,11,12]
[12,10,9,6,5,4,3,11,2,8,1,7]=>[7,1,8,2,11,3,4,5,6,9,10,12]
[12,11,9,6,5,4,3,10,2,8,1,7]=>[7,1,8,2,10,3,4,5,6,9,11,12]
[12,10,8,7,5,4,3,11,2,9,1,6]=>[6,1,9,2,11,3,4,5,7,8,10,12]
[12,11,8,7,5,4,3,10,2,9,1,6]=>[6,1,9,2,10,3,4,5,7,8,11,12]
[12,10,9,7,5,4,3,11,2,8,1,6]=>[6,1,8,2,11,3,4,5,7,9,10,12]
[12,11,9,7,5,4,3,10,2,8,1,6]=>[6,1,8,2,10,3,4,5,7,9,11,12]
[12,11,10,7,5,4,3,9,2,8,1,6]=>[6,1,8,2,9,3,4,5,7,10,11,12]
[12,10,9,8,5,4,3,11,2,7,1,6]=>[6,1,7,2,11,3,4,5,8,9,10,12]
[12,11,9,8,5,4,3,10,2,7,1,6]=>[6,1,7,2,10,3,4,5,8,9,11,12]
[12,11,10,8,5,4,3,9,2,7,1,6]=>[6,1,7,2,9,3,4,5,8,10,11,12]
[12,11,10,9,8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8,9,10,11,12]
[12,10,8,7,6,4,3,11,2,9,1,5]=>[5,1,9,2,11,3,4,6,7,8,10,12]
[12,11,8,7,6,4,3,10,2,9,1,5]=>[5,1,9,2,10,3,4,6,7,8,11,12]
[12,10,9,7,6,4,3,11,2,8,1,5]=>[5,1,8,2,11,3,4,6,7,9,10,12]
[12,11,9,7,6,4,3,10,2,8,1,5]=>[5,1,8,2,10,3,4,6,7,9,11,12]
[12,11,10,7,6,4,3,9,2,8,1,5]=>[5,1,8,2,9,3,4,6,7,10,11,12]
[12,10,9,8,6,4,3,11,2,7,1,5]=>[5,1,7,2,11,3,4,6,8,9,10,12]
[12,11,9,8,6,4,3,10,2,7,1,5]=>[5,1,7,2,10,3,4,6,8,9,11,12]
[12,11,10,8,6,4,3,9,2,7,1,5]=>[5,1,7,2,9,3,4,6,8,10,11,12]
[12,11,10,9,8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8,9,10,11,12]
[12,10,9,8,7,6,4,3,2,11,1,5]=>[5,1,11,2,3,4,6,7,8,9,10,12]
[12,11,9,8,7,6,4,3,2,10,1,5]=>[5,1,10,2,3,4,6,7,8,9,11,12]
[12,11,10,8,7,6,4,3,2,9,1,5]=>[5,1,9,2,3,4,6,7,8,10,11,12]
[12,11,10,9,7,6,4,3,2,8,1,5]=>[5,1,8,2,3,4,6,7,9,10,11,12]
[12,10,8,7,6,5,4,3,2,11,1,9]=>[9,1,11,2,3,4,5,6,7,8,10,12]
[12,11,8,7,6,5,4,3,2,10,1,9]=>[9,1,10,2,3,4,5,6,7,8,11,12]
[12,10,9,7,6,5,4,3,2,11,1,8]=>[8,1,11,2,3,4,5,6,7,9,10,12]
[12,11,9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9,11,12]
[12,11,10,7,6,5,4,3,2,9,1,8]=>[8,1,9,2,3,4,5,6,7,10,11,12]
[12,10,9,8,6,5,4,3,2,11,1,7]=>[7,1,11,2,3,4,5,6,8,9,10,12]
[12,11,9,8,6,5,4,3,2,10,1,7]=>[7,1,10,2,3,4,5,6,8,9,11,12]
[12,11,10,8,6,5,4,3,2,9,1,7]=>[7,1,9,2,3,4,5,6,8,10,11,12]
[12,11,10,9,6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6,9,10,11,12]
[12,10,9,8,7,5,4,3,2,11,1,6]=>[6,1,11,2,3,4,5,7,8,9,10,12]
[12,11,9,8,7,5,4,3,2,10,1,6]=>[6,1,10,2,3,4,5,7,8,9,11,12]
[12,11,10,8,7,5,4,3,2,9,1,6]=>[6,1,9,2,3,4,5,7,8,10,11,12]
[12,11,10,9,7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7,9,10,11,12]
[12,11,10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10,11,12]
[12,11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11,12]
[12,11,10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10,11,12]
[2,1,4,3,6,5,10,9,12,11,8,7]=>[7,8,11,12,9,10,5,6,3,4,1,2]
[2,1,4,3,8,7,10,9,6,5,12,11]=>[11,12,5,6,9,10,7,8,3,4,1,2]
[2,1,4,3,10,7,12,9,6,11,8,5]=>[5,8,11,6,9,12,7,10,3,4,1,2]
[2,1,4,3,8,7,12,9,10,11,6,5]=>[5,6,11,10,9,12,7,8,3,4,1,2]
[2,1,4,3,10,7,8,9,12,11,6,5]=>[5,6,11,12,9,8,7,10,3,4,1,2]
[2,1,4,3,6,9,8,11,10,7,12,5]=>[5,12,7,10,11,8,9,6,3,4,1,2]
[2,1,4,5,6,3,10,9,12,11,8,7]=>[7,8,11,12,9,10,3,6,5,4,1,2]
[2,1,6,5,8,7,4,3,10,9,12,11]=>[11,12,9,10,3,4,7,8,5,6,1,2]
[2,1,6,5,8,7,4,3,10,11,12,9]=>[9,12,11,10,3,4,7,8,5,6,1,2]
[2,1,8,5,10,7,4,9,6,3,12,11]=>[11,12,3,6,9,4,7,10,5,8,1,2]
[2,1,10,5,12,7,4,9,6,11,8,3]=>[3,8,11,6,9,4,7,12,5,10,1,2]
[2,1,8,5,12,7,4,9,10,11,6,3]=>[3,6,11,10,9,4,7,12,5,8,1,2]
[2,1,6,5,10,7,8,9,4,3,12,11]=>[11,12,3,4,9,8,7,10,5,6,1,2]
[2,1,10,5,12,7,8,9,4,11,6,3]=>[3,6,11,4,9,8,7,12,5,10,1,2]
[2,1,6,5,12,9,8,11,10,7,4,3]=>[3,4,7,10,11,8,9,12,5,6,1,2]
[2,1,6,5,12,7,8,9,10,11,4,3]=>[3,4,11,10,9,8,7,12,5,6,1,2]
[2,1,8,5,6,7,10,9,4,3,12,11]=>[11,12,3,4,9,10,7,6,5,8,1,2]
[2,1,10,5,6,7,12,9,4,11,8,3]=>[3,8,11,4,9,12,7,6,5,10,1,2]
[2,1,8,5,6,7,12,9,10,11,4,3]=>[3,4,11,10,9,12,7,6,5,8,1,2]
[2,1,4,7,6,9,8,5,10,3,12,11]=>[11,12,3,10,5,8,9,6,7,4,1,2]
[2,1,10,7,6,9,8,5,12,11,4,3]=>[3,4,11,12,5,8,9,6,7,10,1,2]
[2,1,4,9,6,11,8,5,10,7,12,3]=>[3,12,7,10,5,8,11,6,9,4,1,2]
[2,1,4,7,6,11,8,9,10,5,12,3]=>[3,12,5,10,9,8,11,6,7,4,1,2]
[2,1,10,5,6,7,8,9,12,11,4,3]=>[3,4,11,12,9,8,7,6,5,10,1,2]
[2,1,4,9,6,7,8,11,10,5,12,3]=>[3,12,5,10,11,8,7,6,9,4,1,2]
[2,1,4,5,8,7,10,9,6,11,12,3]=>[3,12,11,6,9,10,7,8,5,4,1,2]
[2,3,4,1,6,5,10,9,12,11,8,7]=>[7,8,11,12,9,10,5,6,1,4,3,2]
[2,3,4,1,8,7,10,9,6,5,12,11]=>[11,12,5,6,9,10,7,8,1,4,3,2]
[2,3,4,1,10,7,12,9,6,11,8,5]=>[5,8,11,6,9,12,7,10,1,4,3,2]
[2,3,4,1,8,7,12,9,10,11,6,5]=>[5,6,11,10,9,12,7,8,1,4,3,2]
[2,3,4,1,10,7,8,9,12,11,6,5]=>[5,6,11,12,9,8,7,10,1,4,3,2]
[2,3,4,1,6,9,8,11,10,7,12,5]=>[5,12,7,10,11,8,9,6,1,4,3,2]
[4,3,6,5,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,5,6,3,4]
[4,3,6,5,2,1,8,7,10,11,12,9]=>[9,12,11,10,7,8,1,2,5,6,3,4]
[4,3,6,5,2,1,8,9,10,7,12,11]=>[11,12,7,10,9,8,1,2,5,6,3,4]
[4,3,6,5,2,1,8,9,10,11,12,7]=>[7,12,11,10,9,8,1,2,5,6,3,4]
[6,3,8,5,2,7,4,1,10,9,12,11]=>[11,12,9,10,1,4,7,2,5,8,3,6]
[6,3,8,5,2,7,4,1,10,11,12,9]=>[9,12,11,10,1,4,7,2,5,8,3,6]
[8,3,10,5,2,7,4,9,6,1,12,11]=>[11,12,1,6,9,4,7,2,5,10,3,8]
[10,3,12,5,2,7,4,9,6,11,8,1]=>[1,8,11,6,9,4,7,2,5,12,3,10]
[8,3,12,5,2,7,4,9,10,11,6,1]=>[1,6,11,10,9,4,7,2,5,12,3,8]
[6,3,10,5,2,7,8,9,4,1,12,11]=>[11,12,1,4,9,8,7,2,5,10,3,6]
[10,3,12,5,2,7,8,9,4,11,6,1]=>[1,6,11,4,9,8,7,2,5,12,3,10]
[6,3,12,5,2,9,8,11,10,7,4,1]=>[1,4,7,10,11,8,9,2,5,12,3,6]
[6,3,12,5,2,7,8,9,10,11,4,1]=>[1,4,11,10,9,8,7,2,5,12,3,6]
[4,3,8,5,6,7,2,1,10,9,12,11]=>[11,12,9,10,1,2,7,6,5,8,3,4]
[4,3,8,5,6,7,2,1,10,11,12,9]=>[9,12,11,10,1,2,7,6,5,8,3,4]
[8,3,10,5,6,7,2,9,4,1,12,11]=>[11,12,1,4,9,2,7,6,5,10,3,8]
[10,3,12,5,6,7,2,9,4,11,8,1]=>[1,8,11,4,9,2,7,6,5,12,3,10]
[8,3,12,5,6,7,2,9,10,11,4,1]=>[1,4,11,10,9,2,7,6,5,12,3,8]
[4,3,10,7,6,9,8,5,2,1,12,11]=>[11,12,1,2,5,8,9,6,7,10,3,4]
[10,3,12,7,6,9,8,5,2,11,4,1]=>[1,4,11,2,5,8,9,6,7,12,3,10]
[4,3,12,9,6,11,8,5,10,7,2,1]=>[1,2,7,10,5,8,11,6,9,12,3,4]
[4,3,12,7,6,11,8,9,10,5,2,1]=>[1,2,5,10,9,8,11,6,7,12,3,4]
[4,3,10,5,6,7,8,9,2,1,12,11]=>[11,12,1,2,9,8,7,6,5,10,3,4]
[10,3,12,5,6,7,8,9,2,11,4,1]=>[1,4,11,2,9,8,7,6,5,12,3,10]
[4,3,12,9,6,7,8,11,10,5,2,1]=>[1,2,5,10,11,8,7,6,9,12,3,4]
[4,3,12,5,8,7,10,9,6,11,2,1]=>[1,2,11,6,9,10,7,8,5,12,3,4]
[4,3,12,5,6,7,8,9,10,11,2,1]=>[1,2,11,10,9,8,7,6,5,12,3,4]
[2,3,4,5,6,1,10,9,12,11,8,7]=>[7,8,11,12,9,10,1,6,5,4,3,2]
[6,3,4,5,8,7,2,1,10,9,12,11]=>[11,12,9,10,1,2,7,8,5,4,3,6]
[6,3,4,5,8,7,2,1,10,11,12,9]=>[9,12,11,10,1,2,7,8,5,4,3,6]
[8,3,4,5,10,7,2,9,6,1,12,11]=>[11,12,1,6,9,2,7,10,5,4,3,8]
[10,3,4,5,12,7,2,9,6,11,8,1]=>[1,8,11,6,9,2,7,12,5,4,3,10]
[8,3,4,5,12,7,2,9,10,11,6,1]=>[1,6,11,10,9,2,7,12,5,4,3,8]
[6,3,4,5,10,7,8,9,2,1,12,11]=>[11,12,1,2,9,8,7,10,5,4,3,6]
[10,3,4,5,12,7,8,9,2,11,6,1]=>[1,6,11,2,9,8,7,12,5,4,3,10]
[6,3,4,5,12,9,8,11,10,7,2,1]=>[1,2,7,10,11,8,9,12,5,4,3,6]
[6,3,4,5,12,7,8,9,10,11,2,1]=>[1,2,11,10,9,8,7,12,5,4,3,6]
[2,5,4,7,6,3,8,1,10,9,12,11]=>[11,12,9,10,1,8,3,6,7,4,5,2]
[2,5,4,7,6,3,8,1,10,11,12,9]=>[9,12,11,10,1,8,3,6,7,4,5,2]
[8,5,4,7,6,3,10,9,2,1,12,11]=>[11,12,1,2,9,10,3,6,7,4,5,8]
[10,5,4,7,6,3,12,9,2,11,8,1]=>[1,8,11,2,9,12,3,6,7,4,5,10]
[8,5,4,7,6,3,12,9,10,11,2,1]=>[1,2,11,10,9,12,3,6,7,4,5,8]
[2,7,4,9,6,3,8,5,10,1,12,11]=>[11,12,1,10,5,8,3,6,9,4,7,2]
[10,7,4,9,6,3,8,5,12,11,2,1]=>[1,2,11,12,5,8,3,6,9,4,7,10]
[2,9,4,11,6,3,8,5,10,7,12,1]=>[1,12,7,10,5,8,3,6,11,4,9,2]
[2,7,4,11,6,3,8,9,10,5,12,1]=>[1,12,5,10,9,8,3,6,11,4,7,2]
[2,5,4,9,6,7,8,3,10,1,12,11]=>[11,12,1,10,3,8,7,6,9,4,5,2]
[10,5,4,9,6,7,8,3,12,11,2,1]=>[1,2,11,12,3,8,7,6,9,4,5,10]
[2,9,4,11,6,7,8,3,10,5,12,1]=>[1,12,5,10,3,8,7,6,11,4,9,2]
[2,5,4,11,8,7,10,9,6,3,12,1]=>[1,12,3,6,9,10,7,8,11,4,5,2]
[2,5,4,11,6,7,8,9,10,3,12,1]=>[1,12,3,10,9,8,7,6,11,4,5,2]
[8,3,4,5,6,7,10,9,2,1,12,11]=>[11,12,1,2,9,10,7,6,5,4,3,8]
[10,3,4,5,6,7,12,9,2,11,8,1]=>[1,8,11,2,9,12,7,6,5,4,3,10]
[8,3,4,5,6,7,12,9,10,11,2,1]=>[1,2,11,10,9,12,7,6,5,4,3,8]
[2,7,4,5,6,9,8,3,10,1,12,11]=>[11,12,1,10,3,8,9,6,5,4,7,2]
[10,7,4,5,6,9,8,3,12,11,2,1]=>[1,2,11,12,3,8,9,6,5,4,7,10]
[2,9,4,5,6,11,8,3,10,7,12,1]=>[1,12,7,10,3,8,11,6,5,4,9,2]
[2,7,4,5,6,11,8,9,10,3,12,1]=>[1,12,3,10,9,8,11,6,5,4,7,2]
[2,3,6,5,8,7,4,9,10,1,12,11]=>[11,12,1,10,9,4,7,8,5,6,3,2]
[10,3,6,5,8,7,4,9,12,11,2,1]=>[1,2,11,12,9,4,7,8,5,6,3,10]
[2,9,6,5,8,7,4,11,10,3,12,1]=>[1,12,3,10,11,4,7,8,5,6,9,2]
[2,3,8,5,10,7,4,9,6,11,12,1]=>[1,12,11,6,9,4,7,10,5,8,3,2]
[2,3,6,5,10,7,8,9,4,11,12,1]=>[1,12,11,4,9,8,7,10,5,6,3,2]
[10,3,4,5,6,7,8,9,12,11,2,1]=>[1,2,11,12,9,8,7,6,5,4,3,10]
[2,9,4,5,6,7,8,11,10,3,12,1]=>[1,12,3,10,11,8,7,6,5,4,9,2]
[2,3,8,5,6,7,10,9,4,11,12,1]=>[1,12,11,4,9,10,7,6,5,8,3,2]
[2,3,4,7,6,9,8,5,10,11,12,1]=>[1,12,11,10,5,8,9,6,7,4,3,2]
[1,2,5,3,10,6,12,4,9,11,8,7]=>[7,8,11,9,4,12,6,10,3,5,2,1]
[1,2,5,3,10,6,9,4,12,8,11,7]=>[7,11,8,12,4,9,6,10,3,5,2,1]
[1,2,8,3,5,9,7,12,4,6,11,10]=>[10,11,6,4,12,7,9,5,3,8,2,1]
[1,2,8,3,5,9,12,7,4,11,6,10]=>[10,6,11,4,7,12,9,5,3,8,2,1]
[1,2,6,3,10,7,5,12,9,4,11,8]=>[8,11,4,9,12,5,7,10,3,6,2,1]
[1,2,5,3,7,9,6,4,12,8,11,10]=>[10,11,8,12,4,6,9,7,3,5,2,1]
[1,2,5,3,7,10,6,4,9,12,8,11]=>[11,8,12,9,4,6,10,7,3,5,2,1]
[1,2,11,3,5,7,12,10,4,6,9,8]=>[8,9,6,4,10,12,7,5,3,11,2,1]
[1,2,8,3,5,10,9,7,4,12,6,11]=>[11,6,12,4,7,9,10,5,3,8,2,1]
[1,2,11,3,8,5,12,10,7,4,9,6]=>[6,9,4,7,10,12,5,8,3,11,2,1]
[1,2,11,3,5,7,10,12,4,6,9,8]=>[8,9,6,4,12,10,7,5,3,11,2,1]
[1,2,8,3,5,10,7,9,4,12,6,11]=>[11,6,12,4,9,7,10,5,3,8,2,1]
[1,2,11,3,8,5,10,12,7,4,9,6]=>[6,9,4,7,12,10,5,8,3,11,2,1]
[1,2,8,3,10,5,12,7,9,4,11,6]=>[6,11,4,9,7,12,5,10,3,8,2,1]
[1,2,6,11,3,7,5,12,10,4,9,8]=>[8,9,4,10,12,5,7,3,11,6,2,1]
[1,2,8,6,3,9,12,7,5,11,4,10]=>[10,4,11,5,7,12,9,3,6,8,2,1]
[1,2,6,11,3,7,5,10,12,4,9,8]=>[8,9,4,12,10,5,7,3,11,6,2,1]
[1,2,6,11,3,7,10,5,12,9,4,8]=>[8,4,9,12,5,10,7,3,11,6,2,1]
[1,2,6,10,3,7,12,5,9,11,4,8]=>[8,4,11,9,5,12,7,3,10,6,2,1]
[1,2,11,9,3,5,12,10,8,4,7,6]=>[6,7,4,8,10,12,5,3,9,11,2,1]
[1,2,8,6,3,10,9,7,5,12,4,11]=>[11,4,12,5,7,9,10,3,6,8,2,1]
[1,2,9,11,3,5,10,8,12,4,7,6]=>[6,7,4,12,8,10,5,3,11,9,2,1]
[1,2,6,8,3,10,7,5,9,12,4,11]=>[11,4,12,9,5,7,10,3,8,6,2,1]
[1,2,6,8,3,10,7,5,12,9,4,11]=>[11,4,9,12,5,7,10,3,8,6,2,1]
[1,2,9,11,3,5,8,10,12,4,7,6]=>[6,7,4,12,10,8,5,3,11,9,2,1]
[1,2,6,8,3,10,5,7,9,12,4,11]=>[11,4,12,9,7,5,10,3,8,6,2,1]
[1,2,6,8,3,10,5,7,12,9,4,11]=>[11,4,9,12,7,5,10,3,8,6,2,1]
[1,2,6,8,3,10,5,12,7,9,4,11]=>[11,4,9,7,12,5,10,3,8,6,2,1]
[1,2,9,7,11,3,10,8,6,12,5,4]=>[4,5,12,6,8,10,3,11,7,9,2,1]
[1,2,11,9,6,3,12,10,8,5,7,4]=>[4,7,5,8,10,12,3,6,9,11,2,1]
[1,2,7,9,11,3,8,6,10,12,5,4]=>[4,5,12,10,6,8,3,11,9,7,2,1]
[1,2,9,11,6,3,10,8,12,5,7,4]=>[4,7,5,12,8,10,3,6,11,9,2,1]
[1,2,11,6,8,3,12,10,5,7,9,4]=>[4,9,7,5,10,12,3,8,6,11,2,1]
[1,2,7,9,11,3,6,8,10,12,5,4]=>[4,5,12,10,8,6,3,11,9,7,2,1]
[1,2,9,11,6,3,8,10,12,5,7,4]=>[4,7,5,12,10,8,3,6,11,9,2,1]
[1,2,11,6,8,3,10,12,5,7,9,4]=>[4,9,7,5,12,10,3,8,6,11,2,1]
[1,2,6,8,10,3,12,5,7,9,11,4]=>[4,11,9,7,5,12,3,10,8,6,2,1]
[1,2,4,6,8,10,3,5,7,9,12,11]=>[11,12,9,7,5,3,10,8,6,4,2,1]
[1,2,4,6,8,10,3,5,7,12,9,11]=>[11,9,12,7,5,3,10,8,6,4,2,1]
[1,2,4,6,8,10,3,5,12,7,9,11]=>[11,9,7,12,5,3,10,8,6,4,2,1]
[1,2,4,6,8,10,3,12,5,7,9,11]=>[11,9,7,5,12,3,10,8,6,4,2,1]
[1,2,4,6,8,10,12,3,5,7,9,11]=>[11,9,7,5,3,12,10,8,6,4,2,1]
[1,10,2,11,7,3,9,12,6,8,5,4]=>[4,5,8,6,12,9,3,7,11,2,10,1]
[1,7,2,8,10,3,6,9,12,5,11,4]=>[4,11,5,12,9,6,3,10,8,2,7,1]
[1,7,2,8,10,3,12,6,9,11,5,4]=>[4,5,11,9,6,12,3,10,8,2,7,1]
[1,7,2,8,10,3,6,12,9,5,11,4]=>[4,11,5,9,12,6,3,10,8,2,7,1]
[1,9,2,10,6,3,12,8,5,11,7,4]=>[4,7,11,5,8,12,3,6,10,2,9,1]
[1,4,2,5,7,9,3,6,12,8,11,10]=>[10,11,8,12,6,3,9,7,5,2,4,1]
[1,4,2,5,7,10,3,6,9,12,8,11]=>[11,8,12,9,6,3,10,7,5,2,4,1]
[1,4,2,5,7,9,3,12,6,8,11,10]=>[10,11,8,6,12,3,9,7,5,2,4,1]
[1,4,2,5,7,10,3,9,6,12,8,11]=>[11,8,12,6,9,3,10,7,5,2,4,1]
[1,4,2,5,10,7,3,12,9,6,11,8]=>[8,11,6,9,12,3,7,10,5,2,4,1]
[1,4,2,5,7,9,12,3,6,8,11,10]=>[10,11,8,6,3,12,9,7,5,2,4,1]
[1,4,2,5,7,10,9,3,6,12,8,11]=>[11,8,12,6,3,9,10,7,5,2,4,1]
[1,4,2,5,10,7,12,3,9,6,11,8]=>[8,11,6,9,3,12,7,10,5,2,4,1]
[1,7,2,8,4,10,6,12,3,9,5,11]=>[11,5,9,3,12,6,10,4,8,2,7,1]
[1,9,2,7,10,3,12,8,6,11,5,4]=>[4,5,11,6,8,12,3,10,7,2,9,1]
[1,7,2,11,8,3,6,12,10,5,9,4]=>[4,9,5,10,12,6,3,8,11,2,7,1]
[1,7,2,11,8,3,10,6,12,9,5,4]=>[4,5,9,12,6,10,3,8,11,2,7,1]
[1,7,2,11,8,3,6,10,12,5,9,4]=>[4,9,5,12,10,6,3,8,11,2,7,1]
[1,9,2,6,10,3,8,12,5,7,11,4]=>[4,11,7,5,12,8,3,10,6,2,9,1]
[1,4,2,11,5,7,3,12,10,6,9,8]=>[8,9,6,10,12,3,7,5,11,2,4,1]
[1,4,2,8,5,10,3,9,7,12,6,11]=>[11,6,12,7,9,3,10,5,8,2,4,1]
[1,4,2,11,5,7,3,10,12,6,9,8]=>[8,9,6,12,10,3,7,5,11,2,4,1]
[1,4,2,8,5,10,3,7,9,12,6,11]=>[11,6,12,9,7,3,10,5,8,2,4,1]
[1,4,2,8,5,10,3,7,12,9,6,11]=>[11,6,9,12,7,3,10,5,8,2,4,1]
[1,4,2,11,5,7,10,3,12,6,9,8]=>[8,9,6,12,3,10,7,5,11,2,4,1]
[1,4,2,8,5,10,7,3,9,12,6,11]=>[11,6,12,9,3,7,10,5,8,2,4,1]
[1,4,2,8,5,10,7,3,12,9,6,11]=>[11,6,9,12,3,7,10,5,8,2,4,1]
[1,9,2,4,10,6,12,8,3,5,11,7]=>[7,11,5,3,8,12,6,10,4,2,9,1]
[1,4,2,9,11,5,3,10,8,12,7,6]=>[6,7,12,8,10,3,5,11,9,2,4,1]
[1,4,2,11,8,5,3,12,10,7,9,6]=>[6,9,7,10,12,3,5,8,11,2,4,1]
[1,4,2,9,11,5,3,8,10,12,7,6]=>[6,7,12,10,8,3,5,11,9,2,4,1]
[1,4,2,11,8,5,3,10,12,7,9,6]=>[6,9,7,12,10,3,5,8,11,2,4,1]
[1,4,2,8,10,5,3,12,7,9,11,6]=>[6,11,9,7,12,3,5,10,8,2,4,1]
[1,4,2,9,11,5,8,3,10,12,7,6]=>[6,7,12,10,3,8,5,11,9,2,4,1]
[1,4,2,11,8,5,10,3,12,7,9,6]=>[6,9,7,12,3,10,5,8,11,2,4,1]
[1,4,2,8,10,5,12,3,7,9,11,6]=>[6,11,9,7,3,12,5,10,8,2,4,1]
[1,9,2,4,6,10,8,12,3,5,7,11]=>[11,7,5,3,12,8,10,6,4,2,9,1]
[1,4,2,6,8,10,5,3,7,9,12,11]=>[11,12,9,7,3,5,10,8,6,2,4,1]
[1,4,2,6,8,10,5,3,7,12,9,11]=>[11,9,12,7,3,5,10,8,6,2,4,1]
[1,4,2,6,8,10,5,3,12,7,9,11]=>[11,9,7,12,3,5,10,8,6,2,4,1]
[1,11,2,4,6,8,12,10,3,5,7,9]=>[9,7,5,3,10,12,8,6,4,2,11,1]
[1,11,2,4,6,8,10,12,3,5,7,9]=>[9,7,5,3,12,10,8,6,4,2,11,1]
[1,4,8,2,5,9,7,3,12,6,11,10]=>[10,11,6,12,3,7,9,5,2,8,4,1]
[1,4,8,2,5,9,12,3,7,11,6,10]=>[10,6,11,7,3,12,9,5,2,8,4,1]
[1,9,4,2,10,5,12,8,3,11,7,6]=>[6,7,11,3,8,12,5,10,2,4,9,1]
[1,9,4,2,10,5,8,12,3,7,11,6]=>[6,11,7,3,12,8,5,10,2,4,9,1]
[1,5,9,2,6,10,4,8,12,3,7,11]=>[11,7,3,12,8,4,10,6,2,9,5,1]
[1,4,11,2,5,7,12,3,10,6,9,8]=>[8,9,6,10,3,12,7,5,2,11,4,1]
[1,4,8,2,5,10,9,3,7,12,6,11]=>[11,6,12,7,3,9,10,5,2,8,4,1]
[1,6,4,2,7,9,5,12,3,8,11,10]=>[10,11,8,3,12,5,9,7,2,4,6,1]
[1,6,4,2,7,10,5,9,3,12,8,11]=>[11,8,12,3,9,5,10,7,2,4,6,1]
[1,9,7,2,10,4,8,12,6,3,11,5]=>[5,11,3,6,12,8,4,10,2,7,9,1]
[1,6,4,2,7,9,12,5,3,8,11,10]=>[10,11,8,3,5,12,9,7,2,4,6,1]
[1,6,4,2,7,10,9,5,3,12,8,11]=>[11,8,12,3,5,9,10,7,2,4,6,1]
[1,9,7,2,10,4,12,8,6,3,11,5]=>[5,11,3,6,8,12,4,10,2,7,9,1]
[1,7,11,2,8,4,10,6,12,3,9,5]=>[5,9,3,12,6,10,4,8,2,11,7,1]
[1,4,9,2,11,5,10,3,8,12,7,6]=>[6,7,12,8,3,10,5,11,2,9,4,1]
[1,4,11,2,8,5,12,3,10,7,9,6]=>[6,9,7,10,3,12,5,8,2,11,4,1]
[1,6,4,2,11,7,5,10,3,12,9,8]=>[8,9,12,3,10,5,7,11,2,4,6,1]
[1,6,4,2,10,7,5,12,3,9,11,8]=>[8,11,9,3,12,5,7,10,2,4,6,1]
[1,7,11,2,4,8,12,6,10,3,5,9]=>[9,5,3,10,6,12,8,4,2,11,7,1]
[1,6,4,2,11,7,10,5,3,12,9,8]=>[8,9,12,3,5,10,7,11,2,4,6,1]
[1,6,4,2,10,7,12,5,3,9,11,8]=>[8,11,9,3,5,12,7,10,2,4,6,1]
[1,7,11,2,4,8,6,12,10,3,5,9]=>[9,5,3,10,12,6,8,4,2,11,7,1]
[1,7,11,2,4,8,6,10,12,3,5,9]=>[9,5,3,12,10,6,8,4,2,11,7,1]
[1,6,4,2,8,10,7,5,3,9,12,11]=>[11,12,9,3,5,7,10,8,2,4,6,1]
[1,6,4,2,8,10,7,5,3,12,9,11]=>[11,9,12,3,5,7,10,8,2,4,6,1]
[1,11,9,2,4,6,12,10,8,3,5,7]=>[7,5,3,8,10,12,6,4,2,9,11,1]
[1,9,11,2,4,6,10,8,12,3,5,7]=>[7,5,3,12,8,10,6,4,2,11,9,1]
[1,9,11,2,4,6,8,10,12,3,5,7]=>[7,5,3,12,10,8,6,4,2,11,9,1]
[1,6,11,4,2,7,12,5,10,3,9,8]=>[8,9,3,10,5,12,7,2,4,11,6,1]
[1,7,5,11,2,8,6,12,4,10,3,9]=>[9,3,10,4,12,6,8,2,11,5,7,1]
[1,8,6,4,2,9,7,12,5,3,11,10]=>[10,11,3,5,12,7,9,2,4,6,8,1]
[1,5,11,9,2,6,12,4,10,8,3,7]=>[7,3,8,10,4,12,6,2,9,11,5,1]
[1,5,9,11,2,6,10,4,8,12,3,7]=>[7,3,12,8,4,10,6,2,11,9,5,1]
[1,8,6,4,2,9,12,7,5,3,11,10]=>[10,11,3,5,7,12,9,2,4,6,8,1]
[1,5,11,9,2,6,4,12,10,8,3,7]=>[7,3,8,10,12,4,6,2,9,11,5,1]
[1,5,9,11,2,6,4,10,8,12,3,7]=>[7,3,12,8,10,4,6,2,11,9,5,1]
[1,5,9,11,2,6,4,8,10,12,3,7]=>[7,3,12,10,8,4,6,2,11,9,5,1]
[1,8,6,4,2,10,9,7,5,3,12,11]=>[11,12,3,5,7,9,10,2,4,6,8,1]
[1,11,9,7,2,4,12,10,8,6,3,5]=>[5,3,6,8,10,12,4,2,7,9,11,1]
[1,9,7,11,2,4,10,8,6,12,3,5]=>[5,3,12,6,8,10,4,2,11,7,9,1]
[1,7,9,11,2,4,8,6,10,12,3,5]=>[5,3,12,10,6,8,4,2,11,9,7,1]
[1,7,9,11,2,4,6,8,10,12,3,5]=>[5,3,12,10,8,6,4,2,11,9,7,1]
[1,11,9,7,5,2,12,10,8,6,4,3]=>[3,4,6,8,10,12,2,5,7,9,11,1]
[1,9,7,5,11,2,10,8,6,4,12,3]=>[3,12,4,6,8,10,2,11,5,7,9,1]
[1,7,5,9,11,2,8,6,4,10,12,3]=>[3,12,10,4,6,8,2,11,9,5,7,1]
[1,5,7,9,11,2,6,4,8,10,12,3]=>[3,12,10,8,4,6,2,11,9,7,5,1]
[1,5,7,9,11,2,4,6,8,10,12,3]=>[3,12,10,8,6,4,2,11,9,7,5,1]
[6,7,8,9,10,12,1,2,3,5,11,4]=>[4,11,5,3,2,1,12,10,9,8,7,6]
[7,6,8,9,10,12,1,2,3,4,5,11]=>[11,5,4,3,2,1,12,10,9,8,6,7]
[11,3,4,5,6,7,8,9,10,12,1,2]=>[2,1,12,10,9,8,7,6,5,4,3,11]
[4,2,1,5,6,7,8,9,10,11,12,3]=>[3,12,11,10,9,8,7,6,5,1,2,4]
[2,1,4,3,6,5,11,12,8,7,9,10]=>[10,9,7,8,12,11,5,6,3,4,1,2]
[2,1,4,3,9,10,6,5,7,8,12,11]=>[11,12,8,7,5,6,10,9,3,4,1,2]
[2,1,4,3,11,9,6,12,8,5,7,10]=>[10,7,5,8,12,6,9,11,3,4,1,2]
[2,1,4,3,11,12,6,5,7,8,9,10]=>[10,9,8,7,5,6,12,11,3,4,1,2]
[2,1,4,3,11,12,6,7,8,5,9,10]=>[10,9,5,8,7,6,12,11,3,4,1,2]
[2,1,4,3,10,5,12,7,6,8,9,11]=>[11,9,8,6,7,12,5,10,3,4,1,2]
[2,1,6,3,4,5,11,12,8,7,9,10]=>[10,9,7,8,12,11,5,4,3,6,1,2]
[2,1,7,8,4,3,5,6,10,9,12,11]=>[11,12,9,10,6,5,3,4,8,7,1,2]
[2,1,7,8,4,3,5,6,12,9,10,11]=>[11,10,9,12,6,5,3,4,8,7,1,2]
[2,1,9,7,4,10,6,3,5,8,12,11]=>[11,12,8,5,3,6,10,4,7,9,1,2]
[2,1,11,7,4,9,6,12,8,3,5,10]=>[10,5,3,8,12,6,9,4,7,11,1,2]
[2,1,11,7,4,12,6,3,5,8,9,10]=>[10,9,8,5,3,6,12,4,7,11,1,2]
[2,1,9,10,4,3,5,6,7,8,12,11]=>[11,12,8,7,6,5,3,4,10,9,1,2]
[2,1,11,9,4,12,6,7,8,3,5,10]=>[10,5,3,8,7,6,12,4,9,11,1,2]
[2,1,11,12,4,3,10,7,5,6,9,8]=>[8,9,6,5,7,10,3,4,12,11,1,2]
[2,1,11,12,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,12,11,1,2]
[2,1,9,10,4,5,6,3,7,8,12,11]=>[11,12,8,7,3,6,5,4,10,9,1,2]
[2,1,11,9,4,5,6,12,8,3,7,10]=>[10,7,3,8,12,6,5,4,9,11,1,2]
[2,1,11,12,4,5,6,3,7,8,9,10]=>[10,9,8,7,3,6,5,4,12,11,1,2]
[2,1,8,3,10,5,4,6,7,9,12,11]=>[11,12,9,7,6,4,5,10,3,8,1,2]
[2,1,11,8,12,5,4,6,7,3,9,10]=>[10,9,3,7,6,4,5,12,8,11,1,2]
[2,1,10,3,8,5,12,7,4,6,9,11]=>[11,9,6,4,7,12,5,8,3,10,1,2]
[2,1,10,3,12,5,4,6,7,8,9,11]=>[11,9,8,7,6,4,5,12,3,10,1,2]
[2,1,11,12,4,5,6,7,8,3,9,10]=>[10,9,3,8,7,6,5,4,12,11,1,2]
[2,1,10,3,12,5,6,7,4,8,9,11]=>[11,9,8,4,7,6,5,12,3,10,1,2]
[2,1,9,3,4,12,6,5,7,8,10,11]=>[11,10,8,7,5,6,12,4,3,9,1,2]
[4,1,2,3,6,5,11,12,8,7,9,10]=>[10,9,7,8,12,11,5,6,3,2,1,4]
[4,1,2,3,9,10,6,5,7,8,12,11]=>[11,12,8,7,5,6,10,9,3,2,1,4]
[4,1,2,3,11,9,6,12,8,5,7,10]=>[10,7,5,8,12,6,9,11,3,2,1,4]
[4,1,2,3,11,12,6,5,7,8,9,10]=>[10,9,8,7,5,6,12,11,3,2,1,4]
[4,1,2,3,11,12,6,7,8,5,9,10]=>[10,9,5,8,7,6,12,11,3,2,1,4]
[4,1,2,3,10,5,12,7,6,8,9,11]=>[11,9,8,6,7,12,5,10,3,2,1,4]
[5,6,2,1,3,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,3,1,2,6,5]
[5,6,2,1,3,4,8,7,12,9,10,11]=>[11,10,9,12,7,8,4,3,1,2,6,5]
[5,6,2,1,3,4,10,7,8,9,12,11]=>[11,12,9,8,7,10,4,3,1,2,6,5]
[5,6,2,1,3,4,11,12,8,7,9,10]=>[10,9,7,8,12,11,4,3,1,2,6,5]
[5,6,2,1,3,4,12,7,8,9,10,11]=>[11,10,9,8,7,12,4,3,1,2,6,5]
[7,5,2,8,4,1,3,6,10,9,12,11]=>[11,12,9,10,6,3,1,4,8,2,5,7]
[7,5,2,8,4,1,3,6,12,9,10,11]=>[11,10,9,12,6,3,1,4,8,2,5,7]
[9,5,2,7,4,10,6,1,3,8,12,11]=>[11,12,8,3,1,6,10,4,7,2,5,9]
[11,5,2,7,4,9,6,12,8,1,3,10]=>[10,3,1,8,12,6,9,4,7,2,5,11]
[11,5,2,7,4,12,6,1,3,8,9,10]=>[10,9,8,3,1,6,12,4,7,2,5,11]
[9,5,2,10,4,1,3,6,7,8,12,11]=>[11,12,8,7,6,3,1,4,10,2,5,9]
[11,5,2,9,4,12,6,7,8,1,3,10]=>[10,3,1,8,7,6,12,4,9,2,5,11]
[11,5,2,12,4,1,10,7,3,6,9,8]=>[8,9,6,3,7,10,1,4,12,2,5,11]
[11,5,2,12,4,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,4,12,2,5,11]
[7,8,2,1,3,4,5,6,10,9,12,11]=>[11,12,9,10,6,5,4,3,1,2,8,7]
[7,8,2,1,3,4,5,6,12,9,10,11]=>[11,10,9,12,6,5,4,3,1,2,8,7]
[9,7,2,10,4,5,6,1,3,8,12,11]=>[11,12,8,3,1,6,5,4,10,2,7,9]
[11,7,2,9,4,5,6,12,8,1,3,10]=>[10,3,1,8,12,6,5,4,9,2,7,11]
[11,7,2,12,4,5,6,1,3,8,9,10]=>[10,9,8,3,1,6,5,4,12,2,7,11]
[9,10,2,1,8,5,3,4,7,6,12,11]=>[11,12,6,7,4,3,5,8,1,2,10,9]
[11,9,2,8,12,5,4,6,7,1,3,10]=>[10,3,1,7,6,4,5,12,8,2,9,11]
[11,12,2,1,8,5,10,7,3,4,9,6]=>[6,9,4,3,7,10,5,8,1,2,12,11]
[11,12,2,1,10,5,3,4,6,7,9,8]=>[8,9,7,6,4,3,5,10,1,2,12,11]
[9,10,2,1,3,4,5,6,7,8,12,11]=>[11,12,8,7,6,5,4,3,1,2,10,9]
[11,9,2,12,4,5,6,7,8,1,3,10]=>[10,3,1,8,7,6,5,4,12,2,9,11]
[11,12,2,1,10,5,6,7,3,4,9,8]=>[8,9,4,3,7,6,5,10,1,2,12,11]
[12,11,2,1,3,9,6,4,5,8,10,7]=>[7,10,8,5,4,6,9,3,1,2,11,12]
[11,12,2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2,12,11]
[6,1,2,3,4,5,11,12,8,7,9,10]=>[10,9,7,8,12,11,5,4,3,2,1,6]
[7,8,2,3,4,1,5,6,10,9,12,11]=>[11,12,9,10,6,5,1,4,3,2,8,7]
[7,8,2,3,4,1,5,6,12,9,10,11]=>[11,10,9,12,6,5,1,4,3,2,8,7]
[9,7,2,3,4,10,6,1,5,8,12,11]=>[11,12,8,5,1,6,10,4,3,2,7,9]
[11,7,2,3,4,9,6,12,8,1,5,10]=>[10,5,1,8,12,6,9,4,3,2,7,11]
[11,7,2,3,4,12,6,1,5,8,9,10]=>[10,9,8,5,1,6,12,4,3,2,7,11]
[9,10,2,3,4,1,5,6,7,8,12,11]=>[11,12,8,7,6,5,1,4,3,2,10,9]
[11,9,2,3,4,12,6,7,8,1,5,10]=>[10,5,1,8,7,6,12,4,3,2,9,11]
[11,12,2,3,4,1,10,7,5,6,9,8]=>[8,9,6,5,7,10,1,4,3,2,12,11]
[11,12,2,3,4,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,4,3,2,12,11]
[6,1,8,3,2,4,5,7,10,9,12,11]=>[11,12,9,10,7,5,4,2,3,8,1,6]
[6,1,8,3,2,4,5,7,12,9,10,11]=>[11,10,9,12,7,5,4,2,3,8,1,6]
[9,6,10,3,2,4,5,1,7,8,12,11]=>[11,12,8,7,1,5,4,2,3,10,6,9]
[11,6,9,3,2,4,5,12,8,1,7,10]=>[10,7,1,8,12,5,4,2,3,9,6,11]
[11,6,12,3,2,4,5,1,7,8,9,10]=>[10,9,8,7,1,5,4,2,3,12,6,11]
[8,1,6,3,10,5,2,4,7,9,12,11]=>[11,12,9,7,4,2,5,10,3,6,1,8]
[11,8,6,3,12,5,2,4,7,1,9,10]=>[10,9,1,7,4,2,5,12,3,6,8,11]
[10,1,6,3,8,5,12,7,2,4,9,11]=>[11,9,4,2,7,12,5,8,3,6,1,10]
[10,1,6,3,12,5,2,4,7,8,9,11]=>[11,9,8,7,4,2,5,12,3,6,1,10]
[8,1,10,3,2,4,5,6,7,9,12,11]=>[11,12,9,7,6,5,4,2,3,10,1,8]
[11,8,12,3,2,4,5,6,7,1,9,10]=>[10,9,1,7,6,5,4,2,3,12,8,11]
[10,1,8,3,12,5,6,7,2,4,9,11]=>[11,9,4,2,7,6,5,12,3,8,1,10]
[10,1,12,3,2,9,6,4,5,8,7,11]=>[11,7,8,5,4,6,9,2,3,12,1,10]
[10,1,12,3,2,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,2,3,12,1,10]
[9,10,2,3,4,5,6,1,7,8,12,11]=>[11,12,8,7,1,6,5,4,3,2,10,9]
[11,9,2,3,4,5,6,12,8,1,7,10]=>[10,7,1,8,12,6,5,4,3,2,9,11]
[11,12,2,3,4,5,6,1,7,8,9,10]=>[10,9,8,7,1,6,5,4,3,2,12,11]
[8,1,10,3,4,5,2,6,7,9,12,11]=>[11,12,9,7,6,2,5,4,3,10,1,8]
[11,8,12,3,4,5,2,6,7,1,9,10]=>[10,9,1,7,6,2,5,4,3,12,8,11]
[10,1,8,3,4,5,12,7,2,6,9,11]=>[11,9,6,2,7,12,5,4,3,8,1,10]
[10,1,12,3,4,5,2,6,7,8,9,11]=>[11,9,8,7,6,2,5,4,3,12,1,10]
[7,1,2,10,4,3,5,6,8,9,12,11]=>[11,12,9,8,6,5,3,4,10,2,1,7]
[11,7,2,12,4,3,5,6,8,1,9,10]=>[10,9,1,8,6,5,3,4,12,2,7,11]
[10,1,7,12,4,3,5,6,2,8,9,11]=>[11,9,8,2,6,5,3,4,12,7,1,10]
[9,1,2,7,4,12,6,3,5,8,10,11]=>[11,10,8,5,3,6,12,4,7,2,1,9]
[9,1,2,12,4,3,5,6,7,8,10,11]=>[11,10,8,7,6,5,3,4,12,2,1,9]
[11,12,2,3,4,5,6,7,8,1,9,10]=>[10,9,1,8,7,6,5,4,3,2,12,11]
[10,1,12,3,4,5,6,7,2,8,9,11]=>[11,9,8,2,7,6,5,4,3,12,1,10]
[9,1,2,12,4,5,6,3,7,8,10,11]=>[11,10,8,7,3,6,5,4,12,2,1,9]
[8,1,2,3,12,5,4,6,7,9,10,11]=>[11,10,9,7,6,4,5,12,3,2,1,8]
[8,5,7,6,11,3,12,4,10,1,9,2]=>[2,9,1,10,4,12,3,11,6,7,5,8]
[9,5,10,6,8,3,7,4,12,1,11,2]=>[2,11,1,12,4,7,3,8,6,10,5,9]
[9,5,11,6,8,3,12,4,10,1,7,2]=>[2,7,1,10,4,12,3,8,6,11,5,9]
[10,5,11,6,12,3,9,4,8,1,7,2]=>[2,7,1,8,4,9,3,12,6,11,5,10]
[5,6,8,7,10,3,9,4,12,1,11,2]=>[2,11,1,12,4,9,3,10,7,8,6,5]
[5,6,8,7,11,3,12,4,10,1,9,2]=>[2,9,1,10,4,12,3,11,7,8,6,5]
[6,9,7,10,3,8,5,4,12,1,11,2]=>[2,11,1,12,4,5,8,3,10,7,9,6]
[6,9,7,11,3,8,4,12,1,10,5,2]=>[2,5,10,1,12,4,8,3,11,7,9,6]
[6,10,7,11,3,12,4,9,1,8,5,2]=>[2,5,8,1,9,4,12,3,11,7,10,6]
[8,9,3,10,7,6,5,4,12,1,11,2]=>[2,11,1,12,4,5,6,7,10,3,9,8]
[8,9,3,11,7,6,4,12,1,10,5,2]=>[2,5,10,1,12,4,6,7,11,3,9,8]
[8,10,3,11,7,4,12,1,9,6,5,2]=>[2,5,6,9,1,12,4,7,11,3,10,8]
[9,3,10,4,11,1,12,8,7,6,5,2]=>[2,5,6,7,8,12,1,11,4,10,3,9]
[8,3,7,4,10,6,9,5,12,1,11,2]=>[2,11,1,12,5,9,6,10,4,7,3,8]
[8,3,7,4,11,6,12,5,10,1,9,2]=>[2,9,1,10,5,12,6,11,4,7,3,8]
[9,3,10,4,8,6,7,5,12,1,11,2]=>[2,11,1,12,5,7,6,8,4,10,3,9]
[9,3,11,4,8,6,12,5,10,1,7,2]=>[2,7,1,10,5,12,6,8,4,11,3,9]
[10,3,11,4,12,6,9,5,8,1,7,2]=>[2,7,1,8,5,9,6,12,4,11,3,10]
[6,8,3,10,7,9,4,5,12,1,11,2]=>[2,11,1,12,5,4,9,7,10,3,8,6]
[6,8,3,11,7,12,4,5,10,1,9,2]=>[2,9,1,10,5,4,12,7,11,3,8,6]
[3,6,9,4,10,7,8,5,12,1,11,2]=>[2,11,1,12,5,8,7,10,4,9,6,3]
[6,9,4,11,7,8,5,12,1,10,3,2]=>[2,3,10,1,12,5,8,7,11,4,9,6]
[6,10,4,11,7,12,5,9,1,8,3,2]=>[2,3,8,1,9,5,12,7,11,4,10,6]
[3,9,4,8,10,7,6,5,12,1,11,2]=>[2,11,1,12,5,6,7,10,8,4,9,3]
[9,4,8,11,7,6,5,12,1,10,3,2]=>[2,3,10,1,12,5,6,7,11,8,4,9]
[10,4,8,11,7,5,12,1,9,6,3,2]=>[2,3,6,9,1,12,5,7,11,8,4,10]
[9,10,4,11,5,12,1,8,7,6,3,2]=>[2,3,6,7,8,1,12,5,11,4,10,9]
[8,10,3,7,9,4,5,6,12,1,11,2]=>[2,11,1,12,6,5,4,9,7,3,10,8]
[8,11,3,7,12,4,5,6,10,1,9,2]=>[2,9,1,10,6,5,4,12,7,3,11,8]
[3,9,4,7,10,8,5,6,12,1,11,2]=>[2,11,1,12,6,5,8,10,7,4,9,3]
[9,4,7,11,8,5,6,12,1,10,3,2]=>[2,3,10,1,12,6,5,8,11,7,4,9]
[10,4,7,11,5,6,12,1,9,8,3,2]=>[2,3,8,9,1,12,6,5,11,7,4,10]
[3,4,9,8,10,5,7,6,12,1,11,2]=>[2,11,1,12,6,7,5,10,8,9,4,3]
[4,9,8,11,5,7,6,12,1,10,3,2]=>[2,3,10,1,12,6,7,5,11,8,9,4]
[10,8,11,5,7,6,12,1,9,4,3,2]=>[2,3,4,9,1,12,6,7,5,11,8,10]
[9,10,5,11,6,12,8,1,7,4,3,2]=>[2,3,4,7,1,8,12,6,11,5,10,9]
[3,4,5,6,9,8,10,7,12,1,11,2]=>[2,11,1,12,7,10,8,9,6,5,4,3]
[4,5,6,9,8,11,7,12,1,10,3,2]=>[2,3,10,1,12,7,11,8,9,6,5,4]
[5,6,10,8,11,7,12,1,9,4,3,2]=>[2,3,4,9,1,12,7,11,8,10,6,5]
[6,9,10,7,11,1,12,8,5,4,3,2]=>[2,3,4,5,8,12,1,11,7,10,9,6]
[9,10,8,11,1,12,7,6,5,4,3,2]=>[2,3,4,5,6,7,12,1,11,8,10,9]
[8,5,7,6,10,1,9,2,12,4,11,3]=>[3,11,4,12,2,9,1,10,6,7,5,8]
[8,5,7,6,11,1,12,2,10,4,9,3]=>[3,9,4,10,2,12,1,11,6,7,5,8]
[9,5,10,6,8,1,7,2,12,4,11,3]=>[3,11,4,12,2,7,1,8,6,10,5,9]
[9,5,11,6,8,1,12,2,10,4,7,3]=>[3,7,4,10,2,12,1,8,6,11,5,9]
[10,5,11,6,12,1,9,2,8,4,7,3]=>[3,7,4,8,2,9,1,12,6,11,5,10]
[5,6,8,7,10,1,9,2,12,4,11,3]=>[3,11,4,12,2,9,1,10,7,8,6,5]
[5,6,8,7,11,1,12,2,10,4,9,3]=>[3,9,4,10,2,12,1,11,7,8,6,5]
[6,9,7,10,1,8,5,2,12,4,11,3]=>[3,11,4,12,2,5,8,1,10,7,9,6]
[6,9,7,11,1,8,2,12,4,10,5,3]=>[3,5,10,4,12,2,8,1,11,7,9,6]
[6,10,7,11,1,12,2,9,4,8,5,3]=>[3,5,8,4,9,2,12,1,11,7,10,6]
[8,9,1,10,7,6,5,2,12,4,11,3]=>[3,11,4,12,2,5,6,7,10,1,9,8]
[8,9,1,11,7,6,2,12,4,10,5,3]=>[3,5,10,4,12,2,6,7,11,1,9,8]
[8,10,1,11,7,2,12,4,9,6,5,3]=>[3,5,6,9,4,12,2,7,11,1,10,8]
[9,1,10,2,11,4,12,8,7,6,5,3]=>[3,5,6,7,8,12,4,11,2,10,1,9]
[8,1,7,4,10,6,9,2,12,5,11,3]=>[3,11,5,12,2,9,6,10,4,7,1,8]
[8,1,7,4,11,6,12,2,10,5,9,3]=>[3,9,5,10,2,12,6,11,4,7,1,8]
[9,1,10,4,8,6,7,2,12,5,11,3]=>[3,11,5,12,2,7,6,8,4,10,1,9]
[9,1,11,4,8,6,12,2,10,5,7,3]=>[3,7,5,10,2,12,6,8,4,11,1,9]
[10,1,11,4,12,6,9,2,8,5,7,3]=>[3,7,5,8,2,9,6,12,4,11,1,10]
[6,8,1,10,7,9,4,12,2,5,11,3]=>[3,11,5,2,12,4,9,7,10,1,8,6]
[6,8,1,11,7,12,4,10,2,5,9,3]=>[3,9,5,2,10,4,12,7,11,1,8,6]
[6,9,4,10,7,8,1,12,5,11,2,3]=>[3,2,11,5,12,1,8,7,10,4,9,6]
[1,6,9,4,11,7,8,2,12,5,10,3]=>[3,10,5,12,2,8,7,11,4,9,6,1]
[1,6,10,4,11,7,12,2,9,5,8,3]=>[3,8,5,9,2,12,7,11,4,10,6,1]
[9,4,8,10,7,6,1,12,5,11,2,3]=>[3,2,11,5,12,1,6,7,10,8,4,9]
[1,9,4,8,11,7,6,2,12,5,10,3]=>[3,10,5,12,2,6,7,11,8,4,9,1]
[1,10,4,8,11,7,2,12,5,9,6,3]=>[3,6,9,5,12,2,7,11,8,4,10,1]
[1,9,10,4,11,2,12,5,8,7,6,3]=>[3,6,7,8,5,12,2,11,4,10,9,1]
[8,10,1,7,9,4,5,12,2,6,11,3]=>[3,11,6,2,12,5,4,9,7,1,10,8]
[8,11,1,7,12,4,5,10,2,6,9,3]=>[3,9,6,2,10,5,4,12,7,1,11,8]
[9,4,7,10,8,5,12,1,6,11,2,3]=>[3,2,11,6,1,12,5,8,10,7,4,9]
[1,9,4,7,11,8,5,12,2,6,10,3]=>[3,10,6,2,12,5,8,11,7,4,9,1]
[1,10,4,7,11,5,12,2,6,9,8,3]=>[3,8,9,6,2,12,5,11,7,4,10,1]
[4,9,8,10,5,7,1,12,6,11,2,3]=>[3,2,11,6,12,1,7,5,10,8,9,4]
[1,4,9,8,11,5,7,2,12,6,10,3]=>[3,10,6,12,2,7,5,11,8,9,4,1]
[1,10,8,11,5,7,2,12,6,9,4,3]=>[3,4,9,6,12,2,7,5,11,8,10,1]
[1,9,10,5,11,2,12,8,6,7,4,3]=>[3,4,7,6,8,12,2,11,5,10,9,1]
[4,5,6,9,8,10,1,12,7,11,2,3]=>[3,2,11,7,12,1,10,8,9,6,5,4]
[1,4,5,6,9,8,11,2,12,7,10,3]=>[3,10,7,12,2,11,8,9,6,5,4,1]
[1,5,6,10,8,11,2,12,7,9,4,3]=>[3,4,9,7,12,2,11,8,10,6,5,1]
[1,6,9,10,2,11,7,12,8,5,4,3]=>[3,4,5,8,12,7,11,2,10,9,6,1]
[1,9,10,2,11,8,12,7,6,5,4,3]=>[3,4,5,6,7,12,8,11,2,10,9,1]
[8,1,7,2,10,3,9,6,12,5,11,4]=>[4,11,5,12,6,9,3,10,2,7,1,8]
[8,1,7,2,11,3,12,6,10,5,9,4]=>[4,9,5,10,6,12,3,11,2,7,1,8]
[9,1,10,2,8,3,7,6,12,5,11,4]=>[4,11,5,12,6,7,3,8,2,10,1,9]
[9,1,11,2,8,3,12,6,10,5,7,4]=>[4,7,5,10,6,12,3,8,2,11,1,9]
[10,1,11,2,12,3,9,6,8,5,7,4]=>[4,7,5,8,6,9,3,12,2,11,1,10]
[6,8,1,10,2,9,7,12,3,5,11,4]=>[4,11,5,3,12,7,9,2,10,1,8,6]
[6,8,1,11,2,12,7,10,3,5,9,4]=>[4,9,5,3,10,7,12,2,11,1,8,6]
[6,9,1,10,2,3,8,7,12,5,11,4]=>[4,11,5,12,7,8,3,2,10,1,9,6]
[1,6,9,2,11,3,8,7,12,5,10,4]=>[4,10,5,12,7,8,3,11,2,9,6,1]
[1,6,10,2,11,3,12,7,9,5,8,4]=>[4,8,5,9,7,12,3,11,2,10,6,1]
[9,1,10,7,6,2,3,8,12,5,11,4]=>[4,11,5,12,8,3,2,6,7,10,1,9]
[1,9,2,11,7,6,3,8,12,5,10,4]=>[4,10,5,12,8,3,6,7,11,2,9,1]
[1,10,2,11,7,3,8,12,5,9,6,4]=>[4,6,9,5,12,8,3,7,11,2,10,1]
[1,10,2,9,11,3,12,5,8,7,6,4]=>[4,6,7,8,5,12,3,11,9,2,10,1]
[8,10,1,9,2,5,7,12,3,6,11,4]=>[4,11,6,3,12,7,5,2,9,1,10,8]
[8,11,1,12,2,5,7,10,3,6,9,4]=>[4,9,6,3,10,7,5,2,12,1,11,8]
[9,1,10,8,5,7,12,2,3,6,11,4]=>[4,11,6,3,2,12,7,5,8,10,1,9]
[1,9,2,11,8,5,7,12,3,6,10,4]=>[4,10,6,3,12,7,5,8,11,2,9,1]
[1,10,2,11,5,7,12,3,6,9,8,4]=>[4,8,9,6,3,12,7,5,11,2,10,1]
[9,5,7,1,10,8,12,6,11,2,3,4]=>[4,3,2,11,6,12,8,10,1,7,5,9]
[1,9,5,7,2,11,8,12,6,10,3,4]=>[4,3,10,6,12,8,11,2,7,5,9,1]
[1,2,10,5,7,3,11,8,12,6,9,4]=>[4,9,6,12,8,11,3,7,5,10,2,1]
[1,2,10,5,9,11,3,12,8,6,7,4]=>[4,7,6,8,12,3,11,9,5,10,2,1]
[5,6,9,1,10,8,12,7,11,2,3,4]=>[4,3,2,11,7,12,8,10,1,9,6,5]
[1,5,6,9,2,11,8,12,7,10,3,4]=>[4,3,10,7,12,8,11,2,9,6,5,1]
[1,2,5,6,10,3,11,8,12,7,9,4]=>[4,9,7,12,8,11,3,10,6,5,2,1]
[1,2,6,10,3,9,11,7,12,8,5,4]=>[4,5,8,12,7,11,9,3,10,6,2,1]
[1,2,10,3,9,11,8,12,7,6,5,4]=>[4,5,6,7,12,8,11,9,3,10,2,1]
[10,1,8,9,2,7,12,3,6,11,4,5]=>[5,4,11,6,3,12,7,2,9,8,1,10]
[11,1,8,12,2,7,10,3,6,9,4,5]=>[5,4,9,6,3,10,7,2,12,8,1,11]
[9,10,1,8,2,3,7,12,4,6,11,5]=>[5,11,6,4,12,7,3,2,8,1,10,9]
[1,9,11,2,8,3,7,12,4,6,10,5]=>[5,10,6,4,12,7,3,8,2,11,9,1]
[1,10,2,11,3,7,12,9,4,6,8,5]=>[5,8,6,4,9,12,7,3,11,2,10,1]
[9,10,1,7,2,3,4,8,12,6,11,5]=>[5,11,6,12,8,4,3,2,7,1,10,9]
[1,9,11,2,7,3,4,8,12,6,10,5]=>[5,10,6,12,8,4,3,7,2,11,9,1]
[1,2,10,3,7,4,8,11,6,12,9,5]=>[5,9,12,6,11,8,4,7,3,10,2,1]
[1,2,10,9,11,3,12,4,8,6,7,5]=>[5,7,6,8,4,12,3,11,9,10,2,1]
[6,9,10,1,8,12,7,11,2,3,4,5]=>[5,4,3,2,11,7,12,8,1,10,9,6]
[1,6,9,11,2,8,12,7,10,3,4,5]=>[5,4,3,10,7,12,8,2,11,9,6,1]
[1,2,6,10,3,8,11,7,12,9,4,5]=>[5,4,9,12,7,11,8,3,10,6,2,1]
[1,2,3,6,10,9,11,4,12,7,8,5]=>[5,8,7,12,4,11,9,10,6,3,2,1]
[1,2,3,10,9,11,4,8,12,7,6,5]=>[5,6,7,12,8,4,11,9,10,3,2,1]
[9,10,8,12,1,7,11,2,3,4,5,6]=>[6,5,4,3,2,11,7,1,12,8,10,9]
[1,9,11,8,12,2,7,10,3,4,5,6]=>[6,5,4,3,10,7,2,12,8,11,9,1]
[1,2,10,8,11,3,7,12,9,4,5,6]=>[6,5,4,9,12,7,3,11,8,10,2,1]
[1,2,3,10,9,11,4,7,12,8,5,6]=>[6,5,8,12,7,4,11,9,10,3,2,1]
[1,2,3,4,10,9,11,8,12,5,7,6]=>[6,7,5,12,8,11,9,10,4,3,2,1]
[2,12,11,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,11,12,2]
[12,3,11,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,11,3,12]
[12,11,4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4,11,12]
[12,11,5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5,11,12]
[6,12,11,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,11,12,6]
[12,7,11,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,11,7,12]
[12,11,8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8,11,12]
[12,11,9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9,11,12]
[12,3,1,2,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,2,1,3,12]
[10,11,1,2,12,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,12,2,1,11,10]
[12,1,9,10,2,3,11,4,8,5,7,6]=>[6,7,5,8,4,11,3,2,10,9,1,12]
[8,11,1,10,2,3,12,4,9,5,7,6]=>[6,7,5,9,4,12,3,2,10,1,11,8]
[8,9,10,1,2,3,12,4,11,5,7,6]=>[6,7,5,11,4,12,3,2,1,10,9,8]
[12,1,11,2,8,9,3,4,10,5,7,6]=>[6,7,5,10,4,3,9,8,2,11,1,12]
[10,11,1,2,8,9,3,4,12,5,7,6]=>[6,7,5,12,4,3,9,8,2,1,11,10]
[12,1,7,10,2,9,3,4,11,5,8,6]=>[6,8,5,11,4,3,9,2,10,7,1,12]
[6,11,1,10,2,9,3,4,12,5,8,7]=>[7,8,5,12,4,3,9,2,10,1,11,6]
[6,9,10,1,2,11,3,4,12,5,8,7]=>[7,8,5,12,4,3,11,2,1,10,9,6]
[12,1,7,8,9,2,3,4,11,5,10,6]=>[6,10,5,11,4,3,2,9,8,7,1,12]
[6,11,1,8,9,2,3,4,12,5,10,7]=>[7,10,5,12,4,3,2,9,8,1,11,6]
[6,7,10,1,9,2,3,4,12,5,11,8]=>[8,11,5,12,4,3,2,9,1,10,7,6]
[6,7,8,9,1,2,3,4,12,5,11,10]=>[10,11,5,12,4,3,2,1,9,8,7,6]
[12,1,11,2,10,3,7,8,4,5,9,6]=>[6,9,5,4,8,7,3,10,2,11,1,12]
[10,11,1,2,12,3,7,8,4,5,9,6]=>[6,9,5,4,8,7,3,12,2,1,11,10]
[12,1,9,10,2,3,7,8,4,5,11,6]=>[6,11,5,4,8,7,3,2,10,9,1,12]
[8,11,1,10,2,3,7,9,4,5,12,6]=>[6,12,5,4,9,7,3,2,10,1,11,8]
[8,9,10,1,2,3,7,11,4,5,12,6]=>[6,12,5,4,11,7,3,2,1,10,9,8]
[12,1,11,2,6,9,3,8,4,5,10,7]=>[7,10,5,4,8,3,9,6,2,11,1,12]
[10,11,1,2,6,9,3,8,4,5,12,7]=>[7,12,5,4,8,3,9,6,2,1,11,10]
[12,1,5,10,2,9,3,8,4,6,11,7]=>[7,11,6,4,8,3,9,2,10,5,1,12]
[4,11,1,10,2,9,3,8,5,6,12,7]=>[7,12,6,5,8,3,9,2,10,1,11,4]
[4,9,10,1,2,11,3,8,5,6,12,7]=>[7,12,6,5,8,3,11,2,1,10,9,4]
[12,1,5,8,9,2,3,10,4,6,11,7]=>[7,11,6,4,10,3,2,9,8,5,1,12]
[4,11,1,8,9,2,3,10,5,6,12,7]=>[7,12,6,5,10,3,2,9,8,1,11,4]
[4,7,10,1,9,2,3,11,5,6,12,8]=>[8,12,6,5,11,3,2,9,1,10,7,4]
[4,7,8,9,1,2,3,11,5,6,12,10]=>[10,12,6,5,11,3,2,1,9,8,7,4]
[12,1,11,2,6,7,8,3,4,5,10,9]=>[9,10,5,4,3,8,7,6,2,11,1,12]
[10,11,1,2,6,7,8,3,4,5,12,9]=>[9,12,5,4,3,8,7,6,2,1,11,10]
[12,1,5,10,2,7,8,3,4,6,11,9]=>[9,11,6,4,3,8,7,2,10,5,1,12]
[4,11,1,10,2,7,8,3,5,6,12,9]=>[9,12,6,5,3,8,7,2,10,1,11,4]
[4,9,10,1,2,7,8,3,5,6,12,11]=>[11,12,6,5,3,8,7,2,1,10,9,4]
[12,1,5,6,9,2,8,3,4,7,11,10]=>[10,11,7,4,3,8,2,9,6,5,1,12]
[4,11,1,6,9,2,8,3,5,7,12,10]=>[10,12,7,5,3,8,2,9,6,1,11,4]
[4,5,10,1,9,2,8,3,6,7,12,11]=>[11,12,7,6,3,8,2,9,1,10,5,4]
[4,5,8,9,1,2,10,3,6,7,12,11]=>[11,12,7,6,3,10,2,1,9,8,5,4]
[12,1,5,6,7,8,2,3,4,9,11,10]=>[10,11,9,4,3,2,8,7,6,5,1,12]
[4,11,1,6,7,8,2,3,5,9,12,10]=>[10,12,9,5,3,2,8,7,6,1,11,4]
[4,5,10,1,7,8,2,3,6,9,12,11]=>[11,12,9,6,3,2,8,7,1,10,5,4]
[4,5,6,9,1,8,2,3,7,10,12,11]=>[11,12,10,7,3,2,8,1,9,6,5,4]
[4,5,6,7,8,1,2,3,9,10,12,11]=>[11,12,10,9,3,2,1,8,7,6,5,4]
[12,1,11,2,10,3,9,4,6,7,5,8]=>[8,5,7,6,4,9,3,10,2,11,1,12]
[10,11,1,2,12,3,9,4,6,7,5,8]=>[8,5,7,6,4,9,3,12,2,1,11,10]
[12,1,9,10,2,3,11,4,6,7,5,8]=>[8,5,7,6,4,11,3,2,10,9,1,12]
[8,11,1,10,2,3,12,4,6,7,5,9]=>[9,5,7,6,4,12,3,2,10,1,11,8]
[8,9,10,1,2,3,12,4,6,7,5,11]=>[11,5,7,6,4,12,3,2,1,10,9,8]
[12,1,11,2,8,9,3,4,6,7,5,10]=>[10,5,7,6,4,3,9,8,2,11,1,12]
[10,11,1,2,8,9,3,4,6,7,5,12]=>[12,5,7,6,4,3,9,8,2,1,11,10]
[12,1,7,10,2,9,3,4,6,8,5,11]=>[11,5,8,6,4,3,9,2,10,7,1,12]
[6,11,1,10,2,9,3,4,7,8,5,12]=>[12,5,8,7,4,3,9,2,10,1,11,6]
[6,9,10,1,2,11,3,4,7,8,5,12]=>[12,5,8,7,4,3,11,2,1,10,9,6]
[12,1,7,8,9,2,3,4,6,10,5,11]=>[11,5,10,6,4,3,2,9,8,7,1,12]
[6,11,1,8,9,2,3,4,7,10,5,12]=>[12,5,10,7,4,3,2,9,8,1,11,6]
[6,7,10,1,9,2,3,4,8,11,5,12]=>[12,5,11,8,4,3,2,9,1,10,7,6]
[6,7,8,9,1,2,3,4,10,11,5,12]=>[12,5,11,10,4,3,2,1,9,8,7,6]
[12,1,11,2,10,3,5,8,4,7,6,9]=>[9,6,7,4,8,5,3,10,2,11,1,12]
[10,11,1,2,12,3,5,8,4,7,6,9]=>[9,6,7,4,8,5,3,12,2,1,11,10]
[12,1,9,10,2,3,5,8,4,7,6,11]=>[11,6,7,4,8,5,3,2,10,9,1,12]
[8,11,1,10,2,3,5,9,4,7,6,12]=>[12,6,7,4,9,5,3,2,10,1,11,8]
[8,9,10,1,2,3,5,11,4,7,6,12]=>[12,6,7,4,11,5,3,2,1,10,9,8]
[12,1,11,2,4,9,3,8,5,7,6,10]=>[10,6,7,5,8,3,9,4,2,11,1,12]
[10,11,1,2,4,9,3,8,5,7,6,12]=>[12,6,7,5,8,3,9,4,2,1,11,10]
[12,1,3,10,2,9,4,8,5,7,6,11]=>[11,6,7,5,8,4,9,2,10,3,1,12]
[2,11,1,10,3,9,4,8,5,7,6,12]=>[12,6,7,5,8,4,9,3,10,1,11,2]
[2,9,10,1,3,11,4,8,5,7,6,12]=>[12,6,7,5,8,4,11,3,1,10,9,2]
[12,1,3,8,9,2,4,10,5,7,6,11]=>[11,6,7,5,10,4,2,9,8,3,1,12]
[2,11,1,8,9,3,4,10,5,7,6,12]=>[12,6,7,5,10,4,3,9,8,1,11,2]
[2,7,10,1,9,3,4,11,5,8,6,12]=>[12,6,8,5,11,4,3,9,1,10,7,2]
[2,7,8,9,1,3,4,11,5,10,6,12]=>[12,6,10,5,11,4,3,1,9,8,7,2]
[12,1,11,2,4,7,8,3,5,9,6,10]=>[10,6,9,5,3,8,7,4,2,11,1,12]
[10,11,1,2,4,7,8,3,5,9,6,12]=>[12,6,9,5,3,8,7,4,2,1,11,10]
[12,1,3,10,2,7,8,4,5,9,6,11]=>[11,6,9,5,4,8,7,2,10,3,1,12]
[2,11,1,10,3,7,8,4,5,9,6,12]=>[12,6,9,5,4,8,7,3,10,1,11,2]
[2,9,10,1,3,7,8,4,5,11,6,12]=>[12,6,11,5,4,8,7,3,1,10,9,2]
[12,1,3,6,9,2,8,4,5,10,7,11]=>[11,7,10,5,4,8,2,9,6,3,1,12]
[2,11,1,6,9,3,8,4,5,10,7,12]=>[12,7,10,5,4,8,3,9,6,1,11,2]
[2,5,10,1,9,3,8,4,6,11,7,12]=>[12,7,11,6,4,8,3,9,1,10,5,2]
[2,5,8,9,1,3,10,4,6,11,7,12]=>[12,7,11,6,4,10,3,1,9,8,5,2]
[12,1,3,6,7,8,2,4,5,10,9,11]=>[11,9,10,5,4,2,8,7,6,3,1,12]
[2,11,1,6,7,8,3,4,5,10,9,12]=>[12,9,10,5,4,3,8,7,6,1,11,2]
[2,5,10,1,7,8,3,4,6,11,9,12]=>[12,9,11,6,4,3,8,7,1,10,5,2]
[2,5,6,9,1,8,3,4,7,11,10,12]=>[12,10,11,7,4,3,8,1,9,6,5,2]
[2,5,6,7,8,1,3,4,9,11,10,12]=>[12,10,11,9,4,3,1,8,7,6,5,2]
[12,1,11,2,10,3,5,6,7,4,8,9]=>[9,8,4,7,6,5,3,10,2,11,1,12]
[10,11,1,2,12,3,5,6,7,4,8,9]=>[9,8,4,7,6,5,3,12,2,1,11,10]
[12,1,9,10,2,3,5,6,7,4,8,11]=>[11,8,4,7,6,5,3,2,10,9,1,12]
[8,11,1,10,2,3,5,6,7,4,9,12]=>[12,9,4,7,6,5,3,2,10,1,11,8]
[8,9,10,1,2,3,5,6,7,4,11,12]=>[12,11,4,7,6,5,3,2,1,10,9,8]
[12,1,11,2,4,9,3,6,7,5,8,10]=>[10,8,5,7,6,3,9,4,2,11,1,12]
[10,11,1,2,4,9,3,6,7,5,8,12]=>[12,8,5,7,6,3,9,4,2,1,11,10]
[12,1,3,10,2,9,4,6,7,5,8,11]=>[11,8,5,7,6,4,9,2,10,3,1,12]
[2,11,1,10,3,9,4,6,7,5,8,12]=>[12,8,5,7,6,4,9,3,10,1,11,2]
[2,9,10,1,3,11,4,6,7,5,8,12]=>[12,8,5,7,6,4,11,3,1,10,9,2]
[12,1,3,8,9,2,4,6,7,5,10,11]=>[11,10,5,7,6,4,2,9,8,3,1,12]
[2,11,1,8,9,3,4,6,7,5,10,12]=>[12,10,5,7,6,4,3,9,8,1,11,2]
[2,7,10,1,9,3,4,6,8,5,11,12]=>[12,11,5,8,6,4,3,9,1,10,7,2]
[2,7,8,9,1,3,4,6,10,5,11,12]=>[12,11,5,10,6,4,3,1,9,8,7,2]
[12,1,11,2,4,5,8,3,7,6,9,10]=>[10,9,6,7,3,8,5,4,2,11,1,12]
[10,11,1,2,4,5,8,3,7,6,9,12]=>[12,9,6,7,3,8,5,4,2,1,11,10]
[12,1,3,10,2,5,8,4,7,6,9,11]=>[11,9,6,7,4,8,5,2,10,3,1,12]
[2,11,1,10,3,5,8,4,7,6,9,12]=>[12,9,6,7,4,8,5,3,10,1,11,2]
[2,9,10,1,3,5,8,4,7,6,11,12]=>[12,11,6,7,4,8,5,3,1,10,9,2]
[12,1,3,4,9,2,8,5,7,6,10,11]=>[11,10,6,7,5,8,2,9,4,3,1,12]
[2,11,1,4,9,3,8,5,7,6,10,12]=>[12,10,6,7,5,8,3,9,4,1,11,2]
[2,3,10,1,9,4,8,5,7,6,11,12]=>[12,11,6,7,5,8,4,9,1,10,3,2]
[2,3,8,9,1,4,10,5,7,6,11,12]=>[12,11,6,7,5,10,4,1,9,8,3,2]
[12,1,3,4,7,8,2,5,9,6,10,11]=>[11,10,6,9,5,2,8,7,4,3,1,12]
[2,11,1,4,7,8,3,5,9,6,10,12]=>[12,10,6,9,5,3,8,7,4,1,11,2]
[2,3,10,1,7,8,4,5,9,6,11,12]=>[12,11,6,9,5,4,8,7,1,10,3,2]
[2,3,6,9,1,8,4,5,10,7,11,12]=>[12,11,7,10,5,4,8,1,9,6,3,2]
[2,3,6,7,8,1,4,5,10,9,11,12]=>[12,11,9,10,5,4,1,8,7,6,3,2]
[12,1,11,2,4,5,6,7,3,8,9,10]=>[10,9,8,3,7,6,5,4,2,11,1,12]
[10,11,1,2,4,5,6,7,3,8,9,12]=>[12,9,8,3,7,6,5,4,2,1,11,10]
[12,1,3,10,2,5,6,7,4,8,9,11]=>[11,9,8,4,7,6,5,2,10,3,1,12]
[2,11,1,10,3,5,6,7,4,8,9,12]=>[12,9,8,4,7,6,5,3,10,1,11,2]
[2,9,10,1,3,5,6,7,4,8,11,12]=>[12,11,8,4,7,6,5,3,1,10,9,2]
[12,1,3,4,9,2,6,7,5,8,10,11]=>[11,10,8,5,7,6,2,9,4,3,1,12]
[2,11,1,4,9,3,6,7,5,8,10,12]=>[12,10,8,5,7,6,3,9,4,1,11,2]
[2,3,10,1,9,4,6,7,5,8,11,12]=>[12,11,8,5,7,6,4,9,1,10,3,2]
[2,3,8,9,1,4,6,7,5,10,11,12]=>[12,11,10,5,7,6,4,1,9,8,3,2]
[12,1,3,4,5,8,2,7,6,9,10,11]=>[11,10,9,6,7,2,8,5,4,3,1,12]
[2,11,1,4,5,8,3,7,6,9,10,12]=>[12,10,9,6,7,3,8,5,4,1,11,2]
[2,3,10,1,5,8,4,7,6,9,11,12]=>[12,11,9,6,7,4,8,5,1,10,3,2]
[2,3,4,9,1,8,5,7,6,10,11,12]=>[12,11,10,6,7,5,8,1,9,4,3,2]
[2,3,4,7,8,1,5,9,6,10,11,12]=>[12,11,10,6,9,5,1,8,7,4,3,2]
[12,1,3,4,5,6,7,2,8,9,10,11]=>[11,10,9,8,2,7,6,5,4,3,1,12]
[2,11,1,4,5,6,7,3,8,9,10,12]=>[12,10,9,8,3,7,6,5,4,1,11,2]
[2,3,10,1,5,6,7,4,8,9,11,12]=>[12,11,9,8,4,7,6,5,1,10,3,2]
[2,3,4,9,1,6,7,5,8,10,11,12]=>[12,11,10,8,5,7,6,1,9,4,3,2]
[2,3,4,5,8,1,7,6,9,10,11,12]=>[12,11,10,9,6,7,1,8,5,4,3,2]
[12,11,1,2,10,9,3,4,8,7,5,6]=>[6,5,7,8,4,3,9,10,2,1,11,12]
[12,1,2,11,10,9,3,4,8,7,5,6]=>[6,5,7,8,4,3,9,10,11,2,1,12]
[12,11,1,2,10,3,4,9,8,7,5,6]=>[6,5,7,8,9,4,3,10,2,1,11,12]
[12,1,2,11,10,3,4,9,8,7,5,6]=>[6,5,7,8,9,4,3,10,11,2,1,12]
[12,1,2,11,3,4,10,9,8,7,5,6]=>[6,5,7,8,9,10,4,3,11,2,1,12]
[12,11,1,2,10,9,3,4,8,5,7,6]=>[6,7,5,8,4,3,9,10,2,1,11,12]
[12,1,2,11,10,9,3,4,8,5,7,6]=>[6,7,5,8,4,3,9,10,11,2,1,12]
[12,11,1,2,10,3,4,9,8,5,7,6]=>[6,7,5,8,9,4,3,10,2,1,11,12]
[12,1,2,11,10,3,4,9,8,5,7,6]=>[6,7,5,8,9,4,3,10,11,2,1,12]
[12,1,2,11,3,4,10,9,8,5,7,6]=>[6,7,5,8,9,10,4,3,11,2,1,12]
[12,11,1,2,10,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,10,2,1,11,12]
[12,1,2,11,10,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,10,11,2,1,12]
[12,1,2,11,3,4,10,9,5,8,7,6]=>[6,7,8,5,9,10,4,3,11,2,1,12]
[12,1,2,11,3,4,10,5,9,8,7,6]=>[6,7,8,9,5,10,4,3,11,2,1,12]
[12,11,1,2,10,9,3,8,7,4,5,6]=>[6,5,4,7,8,3,9,10,2,1,11,12]
[12,1,2,11,10,9,3,8,7,4,5,6]=>[6,5,4,7,8,3,9,10,11,2,1,12]
[12,11,1,2,10,3,9,8,7,4,5,6]=>[6,5,4,7,8,9,3,10,2,1,11,12]
[12,1,2,11,10,3,9,8,7,4,5,6]=>[6,5,4,7,8,9,3,10,11,2,1,12]
[12,1,2,11,3,10,9,8,7,4,5,6]=>[6,5,4,7,8,9,10,3,11,2,1,12]
[12,11,1,2,10,9,3,8,4,5,7,6]=>[6,7,5,4,8,3,9,10,2,1,11,12]
[12,1,2,11,10,9,3,8,4,5,7,6]=>[6,7,5,4,8,3,9,10,11,2,1,12]
[12,11,1,2,10,3,9,8,4,5,7,6]=>[6,7,5,4,8,9,3,10,2,1,11,12]
[12,1,2,11,10,3,9,8,4,5,7,6]=>[6,7,5,4,8,9,3,10,11,2,1,12]
[12,1,2,11,3,10,9,8,4,5,7,6]=>[6,7,5,4,8,9,10,3,11,2,1,12]
[12,11,1,2,10,3,9,4,5,8,7,6]=>[6,7,8,5,4,9,3,10,2,1,11,12]
[12,1,2,11,10,3,9,4,5,8,7,6]=>[6,7,8,5,4,9,3,10,11,2,1,12]
[12,1,2,11,3,10,9,4,5,8,7,6]=>[6,7,8,5,4,9,10,3,11,2,1,12]
[12,1,2,11,3,10,4,5,9,8,7,6]=>[6,7,8,9,5,4,10,3,11,2,1,12]
[12,11,1,2,10,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,10,2,1,11,12]
[12,1,2,11,10,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,10,11,2,1,12]
[12,11,1,2,10,3,9,8,4,7,5,6]=>[6,5,7,4,8,9,3,10,2,1,11,12]
[12,1,2,11,10,3,9,8,4,7,5,6]=>[6,5,7,4,8,9,3,10,11,2,1,12]
[12,1,2,11,3,10,9,8,4,7,5,6]=>[6,5,7,4,8,9,10,3,11,2,1,12]
[12,11,1,2,10,3,9,4,8,7,5,6]=>[6,5,7,8,4,9,3,10,2,1,11,12]
[12,1,2,11,10,3,9,4,8,7,5,6]=>[6,5,7,8,4,9,3,10,11,2,1,12]
[12,1,2,11,3,10,9,4,8,7,5,6]=>[6,5,7,8,4,9,10,3,11,2,1,12]
[12,1,2,11,3,10,4,9,8,7,5,6]=>[6,5,7,8,9,4,10,3,11,2,1,12]
[12,11,1,2,10,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,10,2,1,11,12]
[12,1,2,11,10,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,10,11,2,1,12]
[12,1,2,11,3,10,9,4,8,5,7,6]=>[6,7,5,8,4,9,10,3,11,2,1,12]
[12,1,2,11,3,10,4,9,8,5,7,6]=>[6,7,5,8,9,4,10,3,11,2,1,12]
[12,1,2,11,3,10,4,9,5,8,7,6]=>[6,7,8,5,9,4,10,3,11,2,1,12]
[12,11,1,10,9,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,9,10,1,11,12]
[12,1,11,10,9,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,9,10,11,1,12]
[12,11,1,10,2,3,4,9,8,7,5,6]=>[6,5,7,8,9,4,3,2,10,1,11,12]
[12,1,11,10,2,3,4,9,8,7,5,6]=>[6,5,7,8,9,4,3,2,10,11,1,12]
[12,1,11,2,3,4,10,9,8,7,5,6]=>[6,5,7,8,9,10,4,3,2,11,1,12]
[12,11,1,10,9,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,9,10,1,11,12]
[12,1,11,10,9,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,9,10,11,1,12]
[12,11,1,10,2,3,4,9,8,5,7,6]=>[6,7,5,8,9,4,3,2,10,1,11,12]
[12,1,11,10,2,3,4,9,8,5,7,6]=>[6,7,5,8,9,4,3,2,10,11,1,12]
[12,1,11,2,3,4,10,9,8,5,7,6]=>[6,7,5,8,9,10,4,3,2,11,1,12]
[12,11,1,10,2,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,2,10,1,11,12]
[12,1,11,10,2,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,2,10,11,1,12]
[12,1,11,2,3,4,10,9,5,8,7,6]=>[6,7,8,5,9,10,4,3,2,11,1,12]
[12,1,11,2,3,4,10,5,9,8,7,6]=>[6,7,8,9,5,10,4,3,2,11,1,12]
[12,11,1,10,9,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,9,10,1,11,12]
[12,1,11,10,9,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,9,10,11,1,12]
[12,11,1,10,2,3,9,8,7,4,5,6]=>[6,5,4,7,8,9,3,2,10,1,11,12]
[12,1,11,10,2,3,9,8,7,4,5,6]=>[6,5,4,7,8,9,3,2,10,11,1,12]
[12,1,11,2,3,10,9,8,7,4,5,6]=>[6,5,4,7,8,9,10,3,2,11,1,12]
[12,11,1,10,9,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,9,10,1,11,12]
[12,1,11,10,9,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,9,10,11,1,12]
[12,11,1,10,2,3,9,8,4,5,7,6]=>[6,7,5,4,8,9,3,2,10,1,11,12]
[12,1,11,10,2,3,9,8,4,5,7,6]=>[6,7,5,4,8,9,3,2,10,11,1,12]
[12,1,11,2,3,10,9,8,4,5,7,6]=>[6,7,5,4,8,9,10,3,2,11,1,12]
[12,11,1,10,2,3,9,4,5,8,7,6]=>[6,7,8,5,4,9,3,2,10,1,11,12]
[12,1,11,10,2,3,9,4,5,8,7,6]=>[6,7,8,5,4,9,3,2,10,11,1,12]
[12,1,11,2,3,10,9,4,5,8,7,6]=>[6,7,8,5,4,9,10,3,2,11,1,12]
[12,1,11,2,3,10,4,5,9,8,7,6]=>[6,7,8,9,5,4,10,3,2,11,1,12]
[12,11,1,10,9,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,9,10,1,11,12]
[12,1,11,10,9,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,9,10,11,1,12]
[12,11,1,10,2,3,9,8,4,7,5,6]=>[6,5,7,4,8,9,3,2,10,1,11,12]
[12,1,11,10,2,3,9,8,4,7,5,6]=>[6,5,7,4,8,9,3,2,10,11,1,12]
[12,1,11,2,3,10,9,8,4,7,5,6]=>[6,5,7,4,8,9,10,3,2,11,1,12]
[12,11,1,10,2,3,9,4,8,7,5,6]=>[6,5,7,8,4,9,3,2,10,1,11,12]
[12,1,11,10,2,3,9,4,8,7,5,6]=>[6,5,7,8,4,9,3,2,10,11,1,12]
[12,1,11,2,3,10,9,4,8,7,5,6]=>[6,5,7,8,4,9,10,3,2,11,1,12]
[12,1,11,2,3,10,4,9,8,7,5,6]=>[6,5,7,8,9,4,10,3,2,11,1,12]
[12,11,1,10,2,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,2,10,1,11,12]
[12,1,11,10,2,3,9,4,8,5,7,6]=>[6,7,5,8,4,9,3,2,10,11,1,12]
[12,1,11,2,3,10,9,4,8,5,7,6]=>[6,7,5,8,4,9,10,3,2,11,1,12]
[12,1,11,2,3,10,4,9,8,5,7,6]=>[6,7,5,8,9,4,10,3,2,11,1,12]
[12,1,11,2,3,10,4,9,5,8,7,6]=>[6,7,8,5,9,4,10,3,2,11,1,12]
[12,11,1,10,9,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,9,10,1,11,12]
[12,1,11,10,9,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,9,10,11,1,12]
[12,11,1,10,2,9,8,7,3,4,5,6]=>[6,5,4,3,7,8,9,2,10,1,11,12]
[12,1,11,10,2,9,8,7,3,4,5,6]=>[6,5,4,3,7,8,9,2,10,11,1,12]
[12,1,11,2,10,9,8,7,3,4,5,6]=>[6,5,4,3,7,8,9,10,2,11,1,12]
[12,11,1,10,9,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,9,10,1,11,12]
[12,1,11,10,9,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,9,10,11,1,12]
[12,11,1,10,2,9,8,3,4,5,7,6]=>[6,7,5,4,3,8,9,2,10,1,11,12]
[12,1,11,10,2,9,8,3,4,5,7,6]=>[6,7,5,4,3,8,9,2,10,11,1,12]
[12,1,11,2,10,9,8,3,4,5,7,6]=>[6,7,5,4,3,8,9,10,2,11,1,12]
[12,11,1,10,2,9,3,4,5,8,7,6]=>[6,7,8,5,4,3,9,2,10,1,11,12]
[12,1,11,10,2,9,3,4,5,8,7,6]=>[6,7,8,5,4,3,9,2,10,11,1,12]
[12,1,11,2,10,9,3,4,5,8,7,6]=>[6,7,8,5,4,3,9,10,2,11,1,12]
[12,1,11,2,10,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,10,2,11,1,12]
[12,11,1,10,9,2,8,3,4,7,5,6]=>[6,5,7,4,3,8,2,9,10,1,11,12]
[12,1,11,10,9,2,8,3,4,7,5,6]=>[6,5,7,4,3,8,2,9,10,11,1,12]
[12,11,1,10,2,9,8,3,4,7,5,6]=>[6,5,7,4,3,8,9,2,10,1,11,12]
[12,1,11,10,2,9,8,3,4,7,5,6]=>[6,5,7,4,3,8,9,2,10,11,1,12]
[12,1,11,2,10,9,8,3,4,7,5,6]=>[6,5,7,4,3,8,9,10,2,11,1,12]
[12,11,1,10,2,9,3,4,8,7,5,6]=>[6,5,7,8,4,3,9,2,10,1,11,12]
[12,1,11,10,2,9,3,4,8,7,5,6]=>[6,5,7,8,4,3,9,2,10,11,1,12]
[12,1,11,2,10,9,3,4,8,7,5,6]=>[6,5,7,8,4,3,9,10,2,11,1,12]
[12,1,11,2,10,3,4,9,8,7,5,6]=>[6,5,7,8,9,4,3,10,2,11,1,12]
[12,11,1,10,2,9,3,4,8,5,7,6]=>[6,7,5,8,4,3,9,2,10,1,11,12]
[12,1,11,10,2,9,3,4,8,5,7,6]=>[6,7,5,8,4,3,9,2,10,11,1,12]
[12,1,11,2,10,9,3,4,8,5,7,6]=>[6,7,5,8,4,3,9,10,2,11,1,12]
[12,1,11,2,10,3,4,9,8,5,7,6]=>[6,7,5,8,9,4,3,10,2,11,1,12]
[12,1,11,2,10,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,10,2,11,1,12]
[12,11,1,10,9,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,9,10,1,11,12]
[12,1,11,10,9,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,9,10,11,1,12]
[12,11,1,10,2,9,8,3,7,4,5,6]=>[6,5,4,7,3,8,9,2,10,1,11,12]
[12,1,11,10,2,9,8,3,7,4,5,6]=>[6,5,4,7,3,8,9,2,10,11,1,12]
[12,1,11,2,10,9,8,3,7,4,5,6]=>[6,5,4,7,3,8,9,10,2,11,1,12]
[12,11,1,10,2,9,3,8,7,4,5,6]=>[6,5,4,7,8,3,9,2,10,1,11,12]
[12,1,11,10,2,9,3,8,7,4,5,6]=>[6,5,4,7,8,3,9,2,10,11,1,12]
[12,1,11,2,10,9,3,8,7,4,5,6]=>[6,5,4,7,8,3,9,10,2,11,1,12]
[12,1,11,2,10,3,9,8,7,4,5,6]=>[6,5,4,7,8,9,3,10,2,11,1,12]
[12,11,1,10,2,9,3,8,4,5,7,6]=>[6,7,5,4,8,3,9,2,10,1,11,12]
[12,1,11,10,2,9,3,8,4,5,7,6]=>[6,7,5,4,8,3,9,2,10,11,1,12]
[12,1,11,2,10,9,3,8,4,5,7,6]=>[6,7,5,4,8,3,9,10,2,11,1,12]
[12,1,11,2,10,3,9,8,4,5,7,6]=>[6,7,5,4,8,9,3,10,2,11,1,12]
[12,1,11,2,10,3,9,4,5,8,7,6]=>[6,7,8,5,4,9,3,10,2,11,1,12]
[12,11,1,10,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,10,1,11,12]
[12,1,11,10,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,10,11,1,12]
[12,1,11,2,10,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,10,2,11,1,12]
[12,1,11,2,10,3,9,8,4,7,5,6]=>[6,5,7,4,8,9,3,10,2,11,1,12]
[12,1,11,2,10,3,9,4,8,7,5,6]=>[6,5,7,8,4,9,3,10,2,11,1,12]
[3,8,4,9,5,10,6,11,12,7,2,1]=>[1,2,7,12,11,6,10,5,9,4,8,3]
[3,8,4,9,5,10,6,2,1,11,12,7]=>[7,12,11,1,2,6,10,5,9,4,8,3]
[5,9,6,10,7,11,12,1,3,8,4,2]=>[2,4,8,3,1,12,11,7,10,6,9,5]
[5,9,6,10,7,11,12,8,4,3,2,1]=>[1,2,3,4,8,12,11,7,10,6,9,5]
[3,8,4,9,5,2,1,10,6,11,12,7]=>[7,12,11,6,10,1,2,5,9,4,8,3]
[5,9,6,10,1,3,7,11,12,8,4,2]=>[2,4,8,12,11,7,3,1,10,6,9,5]
[5,9,6,10,7,1,3,4,2,11,12,8]=>[8,12,11,2,4,3,1,7,10,6,9,5]
[7,10,8,11,12,1,4,2,5,9,6,3]=>[3,6,9,5,2,4,1,12,11,8,10,7]
[7,10,8,11,12,3,5,9,6,4,2,1]=>[1,2,4,6,9,5,3,12,11,8,10,7]
[5,9,6,10,7,4,3,2,1,11,12,8]=>[8,12,11,1,2,3,4,7,10,6,9,5]
[7,10,8,11,12,3,2,1,5,9,6,4]=>[4,6,9,5,1,2,3,12,11,8,10,7]
[7,10,8,11,12,9,1,3,6,5,4,2]=>[2,4,5,6,3,1,9,12,11,8,10,7]
[7,10,8,11,12,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,12,11,8,10,7]
[3,8,4,2,1,9,5,10,6,11,12,7]=>[7,12,11,6,10,5,9,1,2,4,8,3]
[5,9,1,3,6,10,7,11,12,8,4,2]=>[2,4,8,12,11,7,10,6,3,1,9,5]
[5,9,1,3,6,10,7,4,2,11,12,8]=>[8,12,11,2,4,7,10,6,3,1,9,5]
[7,10,1,4,8,11,12,2,5,9,6,3]=>[3,6,9,5,2,12,11,8,4,1,10,7]
[7,10,3,5,8,11,12,9,6,4,2,1]=>[1,2,4,6,9,12,11,8,5,3,10,7]
[5,9,6,1,3,4,2,10,7,11,12,8]=>[8,12,11,7,10,2,4,3,1,6,9,5]
[6,10,4,2,7,3,8,11,12,9,5,1]=>[1,5,9,12,11,8,3,7,2,4,10,6]
[7,10,8,1,4,2,5,6,3,11,12,9]=>[9,12,11,3,6,5,2,4,1,8,10,7]
[9,11,12,1,5,2,6,3,7,10,8,4]=>[4,8,10,7,3,6,2,5,1,12,11,9]
[9,11,12,3,6,4,7,10,8,5,2,1]=>[1,2,5,8,10,7,4,6,3,12,11,9]
[7,10,8,3,5,6,4,2,1,11,12,9]=>[9,12,11,1,2,4,6,5,3,8,10,7]
[9,11,12,3,6,4,2,1,7,10,8,5]=>[5,8,10,7,1,2,4,6,3,12,11,9]
[9,11,12,5,7,10,1,3,8,6,4,2]=>[2,4,6,8,3,1,10,7,5,12,11,9]
[9,11,12,5,7,10,8,6,4,3,2,1]=>[1,2,3,4,6,8,10,7,5,12,11,9]
[5,9,6,4,3,2,1,10,7,11,12,8]=>[8,12,11,7,10,1,2,3,4,6,9,5]
[7,10,3,2,1,5,8,11,12,9,6,4]=>[4,6,9,12,11,8,5,1,2,3,10,7]
[7,10,8,3,2,1,5,6,4,11,12,9]=>[9,12,11,4,6,5,1,2,3,8,10,7]
[9,11,12,3,2,1,6,4,7,10,8,5]=>[5,8,10,7,4,6,1,2,3,12,11,9]
[9,11,12,1,3,5,7,10,8,6,4,2]=>[2,4,6,8,10,7,5,3,1,12,11,9]
[7,10,8,6,1,3,5,4,2,11,12,9]=>[9,12,11,2,4,5,3,1,6,8,10,7]
[9,11,12,5,1,3,4,2,7,10,8,6]=>[6,8,10,7,2,4,3,1,5,12,11,9]
[9,11,12,10,1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1,10,12,11,9]
[9,11,12,10,3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3,10,12,11,9]
[7,10,8,6,5,4,3,2,1,11,12,9]=>[9,12,11,1,2,3,4,5,6,8,10,7]
[9,11,12,5,4,3,2,1,7,10,8,6]=>[6,8,10,7,1,2,3,4,5,12,11,9]
[9,11,12,10,3,2,1,5,8,7,6,4]=>[4,6,7,8,5,1,2,3,10,12,11,9]
[9,11,12,10,8,1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1,8,10,12,11,9]
[9,11,12,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,12,11,9]
[3,2,1,8,4,9,5,10,6,11,12,7]=>[7,12,11,6,10,5,9,4,8,1,2,3]
[1,3,5,9,6,10,7,11,12,8,4,2]=>[2,4,8,12,11,7,10,6,9,5,3,1]
[1,3,5,9,6,10,7,4,2,11,12,8]=>[8,12,11,2,4,7,10,6,9,5,3,1]
[1,4,7,10,8,11,12,2,5,9,6,3]=>[3,6,9,5,2,12,11,8,10,7,4,1]
[3,5,7,10,8,11,12,9,6,4,2,1]=>[1,2,4,6,9,12,11,8,10,7,5,3]
[1,3,5,9,6,4,2,10,7,11,12,8]=>[8,12,11,7,10,2,4,6,9,5,3,1]
[1,4,7,10,2,5,8,11,12,9,6,3]=>[3,6,9,12,11,8,5,2,10,7,4,1]
[1,4,7,10,8,2,5,6,3,11,12,9]=>[9,12,11,3,6,5,2,8,10,7,4,1]
[1,5,9,11,12,2,6,3,7,10,8,4]=>[4,8,10,7,3,6,2,12,11,9,5,1]
[3,6,9,11,12,4,7,10,8,5,2,1]=>[1,2,5,8,10,7,4,12,11,9,6,3]
[3,5,7,10,8,6,4,2,1,11,12,9]=>[9,12,11,1,2,4,6,8,10,7,5,3]
[3,6,9,11,12,4,2,1,7,10,8,5]=>[5,8,10,7,1,2,4,12,11,9,6,3]
[5,7,9,11,12,10,1,3,8,6,4,2]=>[2,4,6,8,3,1,10,12,11,9,7,5]
[5,7,9,11,12,10,8,6,4,3,2,1]=>[1,2,3,4,6,8,10,12,11,9,7,5]
[5,1,3,4,2,9,6,10,7,11,12,8]=>[8,12,11,7,10,6,9,2,4,3,1,5]
[4,2,6,3,7,10,8,11,12,9,5,1]=>[1,5,9,12,11,8,10,7,3,6,2,4]
[4,2,6,3,7,10,8,5,1,11,12,9]=>[9,12,11,1,5,8,10,7,3,6,2,4]
[4,3,8,5,9,11,12,1,6,10,7,2]=>[2,7,10,6,1,12,11,9,5,8,3,4]
[1,5,8,6,9,11,12,10,7,4,3,2]=>[2,3,4,7,10,12,11,9,6,8,5,1]
[7,1,4,2,5,6,3,10,8,11,12,9]=>[9,12,11,8,10,3,6,5,2,4,1,7]
[7,2,6,3,8,4,9,11,12,10,5,1]=>[1,5,10,12,11,9,4,8,3,6,2,7]
[9,1,5,2,6,3,7,8,4,11,12,10]=>[10,12,11,4,8,7,3,6,2,5,1,9]
[12,1,6,2,7,3,8,4,9,11,10,5]=>[5,10,11,9,4,8,3,7,2,6,1,12]
[12,3,7,4,8,5,9,11,10,6,2,1]=>[1,2,6,10,11,9,5,8,4,7,3,12]
[9,3,6,4,7,8,5,2,1,11,12,10]=>[10,12,11,1,2,5,8,7,4,6,3,9]
[12,3,7,4,8,5,2,1,9,11,10,6]=>[6,10,11,9,1,2,5,8,4,7,3,12]
[12,5,8,6,9,11,1,3,10,7,4,2]=>[2,4,7,10,3,1,11,9,6,8,5,12]
[12,5,8,6,9,11,10,7,4,3,2,1]=>[1,2,3,4,7,10,11,9,6,8,5,12]
[7,3,5,6,4,2,1,10,8,11,12,9]=>[9,12,11,8,10,1,2,4,6,5,3,7]
[6,4,8,2,1,5,9,11,12,10,7,3]=>[3,7,10,12,11,9,5,1,2,8,4,6]
[9,3,6,4,2,1,7,8,5,11,12,10]=>[10,12,11,5,8,7,1,2,4,6,3,9]
[12,3,7,4,2,1,8,5,9,11,10,6]=>[6,10,11,9,5,8,1,2,4,7,3,12]
[12,5,8,1,3,6,9,11,10,7,4,2]=>[2,4,7,10,11,9,6,3,1,8,5,12]
[9,5,7,8,1,3,6,4,2,11,12,10]=>[10,12,11,2,4,6,3,1,8,7,5,9]
[12,5,8,6,1,3,4,2,9,11,10,7]=>[7,10,11,9,2,4,3,1,6,8,5,12]
[12,7,9,11,1,4,2,5,10,8,6,3]=>[3,6,8,10,5,2,4,1,11,9,7,12]
[12,7,9,11,3,5,10,8,6,4,2,1]=>[1,2,4,6,8,10,5,3,11,9,7,12]
[9,5,7,8,6,4,3,2,1,11,12,10]=>[10,12,11,1,2,3,4,6,8,7,5,9]
[12,5,8,6,4,3,2,1,9,11,10,7]=>[7,10,11,9,1,2,3,4,6,8,5,12]
[12,7,9,11,3,2,1,5,10,8,6,4]=>[4,6,8,10,5,1,2,3,11,9,7,12]
[12,7,9,11,10,1,3,8,6,5,4,2]=>[2,4,5,6,8,3,1,10,11,9,7,12]
[12,7,9,11,10,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,10,11,9,7,12]
[5,4,3,2,1,9,6,10,7,11,12,8]=>[8,12,11,7,10,6,9,1,2,3,4,5]
[3,2,1,5,7,10,8,11,12,9,6,4]=>[4,6,9,12,11,8,10,7,5,1,2,3]
[3,2,1,5,7,10,8,6,4,11,12,9]=>[9,12,11,4,6,8,10,7,5,1,2,3]
[3,2,1,6,9,11,12,4,7,10,8,5]=>[5,8,10,7,4,12,11,9,6,1,2,3]
[7,3,2,1,5,6,4,10,8,11,12,9]=>[9,12,11,8,10,4,6,5,1,2,3,7]
[6,2,1,4,8,5,9,11,12,10,7,3]=>[3,7,10,12,11,9,5,8,4,1,2,6]
[9,3,2,1,6,4,7,8,5,11,12,10]=>[10,12,11,5,8,7,4,6,1,2,3,9]
[12,3,2,1,7,4,8,5,9,11,10,6]=>[6,10,11,9,5,8,4,7,1,2,3,12]
[12,1,3,5,8,6,9,11,10,7,4,2]=>[2,4,7,10,11,9,6,8,5,3,1,12]
[9,1,3,5,7,8,6,4,2,11,12,10]=>[10,12,11,2,4,6,8,7,5,3,1,9]
[12,1,3,5,8,6,4,2,9,11,10,7]=>[7,10,11,9,2,4,6,8,5,3,1,12]
[12,1,4,7,9,11,2,5,10,8,6,3]=>[3,6,8,10,5,2,11,9,7,4,1,12]
[12,3,5,7,9,11,10,8,6,4,2,1]=>[1,2,4,6,8,10,11,9,7,5,3,12]
[7,6,1,3,5,4,2,10,8,11,12,9]=>[9,12,11,8,10,2,4,5,3,1,6,7]
[6,5,1,4,2,7,9,11,12,10,8,3]=>[3,8,10,12,11,9,7,2,4,1,5,6]
[9,5,1,3,4,2,7,8,6,11,12,10]=>[10,12,11,6,8,7,2,4,3,1,5,9]
[12,5,1,3,4,2,8,6,9,11,10,7]=>[7,10,11,9,6,8,2,4,3,1,5,12]
[12,4,2,6,3,7,9,11,10,8,5,1]=>[1,5,8,10,11,9,7,3,6,2,4,12]
[9,8,1,4,2,5,7,6,3,11,12,10]=>[10,12,11,3,6,7,5,2,4,1,8,9]
[12,7,1,4,2,5,6,3,9,11,10,8]=>[8,10,11,9,3,6,5,2,4,1,7,12]
[12,11,1,5,2,6,3,7,10,9,8,4]=>[4,8,9,10,7,3,6,2,5,1,11,12]
[12,11,3,6,4,7,10,9,8,5,2,1]=>[1,2,5,8,9,10,7,4,6,3,11,12]
[9,8,3,5,7,6,4,2,1,11,12,10]=>[10,12,11,1,2,4,6,7,5,3,8,9]
[12,7,3,5,6,4,2,1,9,11,10,8]=>[8,10,11,9,1,2,4,6,5,3,7,12]
[12,11,3,6,4,2,1,7,10,9,8,5]=>[5,8,9,10,7,1,2,4,6,3,11,12]
[12,11,5,7,10,1,3,9,8,6,4,2]=>[2,4,6,8,9,3,1,10,7,5,11,12]
[12,11,5,7,10,9,8,6,4,3,2,1]=>[1,2,3,4,6,8,9,10,7,5,11,12]
[7,6,5,4,3,2,1,10,8,11,12,9]=>[9,12,11,8,10,1,2,3,4,5,6,7]
[5,4,3,2,1,7,9,11,12,10,8,6]=>[6,8,10,12,11,9,7,1,2,3,4,5]
[9,5,4,3,2,1,7,8,6,11,12,10]=>[10,12,11,6,8,7,1,2,3,4,5,9]
[12,5,4,3,2,1,8,6,9,11,10,7]=>[7,10,11,9,6,8,1,2,3,4,5,12]
[12,3,2,1,5,7,9,11,10,8,6,4]=>[4,6,8,10,11,9,7,5,1,2,3,12]
[9,8,3,2,1,5,7,6,4,11,12,10]=>[10,12,11,4,6,7,5,1,2,3,8,9]
[12,7,3,2,1,5,6,4,9,11,10,8]=>[8,10,11,9,4,6,5,1,2,3,7,12]
[12,11,3,2,1,6,4,7,10,9,8,5]=>[5,8,9,10,7,4,6,1,2,3,11,12]
[12,11,1,3,5,7,10,9,8,6,4,2]=>[2,4,6,8,9,10,7,5,3,1,11,12]
[9,8,7,1,3,6,5,4,2,11,12,10]=>[10,12,11,2,4,5,6,3,1,7,8,9]
[12,7,6,1,3,5,4,2,9,11,10,8]=>[8,10,11,9,2,4,5,3,1,6,7,12]
[12,11,5,1,3,4,2,7,10,9,8,6]=>[6,8,9,10,7,2,4,3,1,5,11,12]
[12,11,10,1,4,2,5,9,8,7,6,3]=>[3,6,7,8,9,5,2,4,1,10,11,12]
[12,11,10,3,5,9,8,7,6,4,2,1]=>[1,2,4,6,7,8,9,5,3,10,11,12]
[9,8,7,6,5,4,3,2,1,11,12,10]=>[10,12,11,1,2,3,4,5,6,7,8,9]
[12,7,6,5,4,3,2,1,9,11,10,8]=>[8,10,11,9,1,2,3,4,5,6,7,12]
[12,11,5,4,3,2,1,7,10,9,8,6]=>[6,8,9,10,7,1,2,3,4,5,11,12]
[12,11,10,3,2,1,5,9,8,7,6,4]=>[4,6,7,8,9,5,1,2,3,10,11,12]
[12,11,10,9,1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1,9,10,11,12]
[3,4,5,6,7,8,9,10,11,12,2,1]=>[1,2,12,11,10,9,8,7,6,5,4,3]
[2,11,1,3,4,5,6,7,8,9,12,10]=>[10,12,9,8,7,6,5,4,3,1,11,2]
[8,2,9,3,10,4,11,5,12,1,7,6]=>[6,7,1,12,5,11,4,10,3,9,2,8]
[8,2,9,3,10,4,11,12,5,1,7,6]=>[6,7,1,5,12,11,4,10,3,9,2,8]
[8,2,9,3,10,4,11,12,1,6,7,5]=>[5,7,6,1,12,11,4,10,3,9,2,8]
[8,2,9,3,10,11,4,5,12,1,7,6]=>[6,7,1,12,5,4,11,10,3,9,2,8]
[8,2,9,3,10,11,4,12,5,1,7,6]=>[6,7,1,5,12,4,11,10,3,9,2,8]
[8,2,9,3,10,11,4,12,1,6,7,5]=>[5,7,6,1,12,4,11,10,3,9,2,8]
[8,2,9,3,10,11,12,4,5,1,7,6]=>[6,7,1,5,4,12,11,10,3,9,2,8]
[8,2,9,3,10,11,12,4,1,6,7,5]=>[5,7,6,1,4,12,11,10,3,9,2,8]
[8,2,9,3,10,11,12,1,5,6,7,4]=>[4,7,6,5,1,12,11,10,3,9,2,8]
[8,2,9,10,3,4,11,5,12,1,7,6]=>[6,7,1,12,5,11,4,3,10,9,2,8]
[8,2,9,10,3,4,11,12,5,1,7,6]=>[6,7,1,5,12,11,4,3,10,9,2,8]
[8,2,9,10,3,4,11,12,1,6,7,5]=>[5,7,6,1,12,11,4,3,10,9,2,8]
[8,2,9,10,3,11,4,5,12,1,7,6]=>[6,7,1,12,5,4,11,3,10,9,2,8]
[8,2,9,10,3,11,4,12,5,1,7,6]=>[6,7,1,5,12,4,11,3,10,9,2,8]
[8,2,9,10,3,11,4,12,1,6,7,5]=>[5,7,6,1,12,4,11,3,10,9,2,8]
[8,2,9,10,3,11,12,4,5,1,7,6]=>[6,7,1,5,4,12,11,3,10,9,2,8]
[8,2,9,10,3,11,12,4,1,6,7,5]=>[5,7,6,1,4,12,11,3,10,9,2,8]
[8,2,9,10,3,11,12,1,5,6,7,4]=>[4,7,6,5,1,12,11,3,10,9,2,8]
[8,2,9,10,11,3,4,5,12,1,7,6]=>[6,7,1,12,5,4,3,11,10,9,2,8]
[8,2,9,10,11,3,4,12,5,1,7,6]=>[6,7,1,5,12,4,3,11,10,9,2,8]
[8,2,9,10,11,3,4,12,1,6,7,5]=>[5,7,6,1,12,4,3,11,10,9,2,8]
[8,2,9,10,11,3,12,4,5,1,7,6]=>[6,7,1,5,4,12,3,11,10,9,2,8]
[8,2,9,10,11,3,12,4,1,6,7,5]=>[5,7,6,1,4,12,3,11,10,9,2,8]
[8,2,9,10,11,3,12,1,5,6,7,4]=>[4,7,6,5,1,12,3,11,10,9,2,8]
[8,2,9,10,11,12,3,4,5,1,7,6]=>[6,7,1,5,4,3,12,11,10,9,2,8]
[8,2,9,10,11,12,3,4,1,6,7,5]=>[5,7,6,1,4,3,12,11,10,9,2,8]
[8,2,9,10,11,12,3,1,5,6,7,4]=>[4,7,6,5,1,3,12,11,10,9,2,8]
[8,2,9,10,11,12,1,4,5,6,7,3]=>[3,7,6,5,4,1,12,11,10,9,2,8]
[8,9,2,3,10,4,11,5,12,1,7,6]=>[6,7,1,12,5,11,4,10,3,2,9,8]
[8,9,2,3,10,4,11,12,5,1,7,6]=>[6,7,1,5,12,11,4,10,3,2,9,8]
[8,9,2,3,10,4,11,12,1,6,7,5]=>[5,7,6,1,12,11,4,10,3,2,9,8]
[8,9,2,3,10,11,4,5,12,1,7,6]=>[6,7,1,12,5,4,11,10,3,2,9,8]
[8,9,2,3,10,11,4,12,5,1,7,6]=>[6,7,1,5,12,4,11,10,3,2,9,8]
[8,9,2,3,10,11,4,12,1,6,7,5]=>[5,7,6,1,12,4,11,10,3,2,9,8]
[8,9,2,3,10,11,12,4,5,1,7,6]=>[6,7,1,5,4,12,11,10,3,2,9,8]
[8,9,2,3,10,11,12,4,1,6,7,5]=>[5,7,6,1,4,12,11,10,3,2,9,8]
[8,9,2,3,10,11,12,1,5,6,7,4]=>[4,7,6,5,1,12,11,10,3,2,9,8]
[8,9,2,10,3,4,11,5,12,1,7,6]=>[6,7,1,12,5,11,4,3,10,2,9,8]
[8,9,2,10,3,4,11,12,5,1,7,6]=>[6,7,1,5,12,11,4,3,10,2,9,8]
[8,9,2,10,3,4,11,12,1,6,7,5]=>[5,7,6,1,12,11,4,3,10,2,9,8]
[8,9,2,10,3,11,4,5,12,1,7,6]=>[6,7,1,12,5,4,11,3,10,2,9,8]
[8,9,2,10,3,11,4,12,5,1,7,6]=>[6,7,1,5,12,4,11,3,10,2,9,8]
[8,9,2,10,3,11,4,12,1,6,7,5]=>[5,7,6,1,12,4,11,3,10,2,9,8]
[8,9,2,10,3,11,12,4,5,1,7,6]=>[6,7,1,5,4,12,11,3,10,2,9,8]
[8,9,2,10,3,11,12,4,1,6,7,5]=>[5,7,6,1,4,12,11,3,10,2,9,8]
[8,9,2,10,3,11,12,1,5,6,7,4]=>[4,7,6,5,1,12,11,3,10,2,9,8]
[8,9,2,10,11,3,4,5,12,1,7,6]=>[6,7,1,12,5,4,3,11,10,2,9,8]
[8,9,2,10,11,3,4,12,5,1,7,6]=>[6,7,1,5,12,4,3,11,10,2,9,8]
[8,9,2,10,11,3,4,12,1,6,7,5]=>[5,7,6,1,12,4,3,11,10,2,9,8]
[8,9,2,10,11,3,12,4,5,1,7,6]=>[6,7,1,5,4,12,3,11,10,2,9,8]
[8,9,2,10,11,3,12,4,1,6,7,5]=>[5,7,6,1,4,12,3,11,10,2,9,8]
[8,9,2,10,11,3,12,1,5,6,7,4]=>[4,7,6,5,1,12,3,11,10,2,9,8]
[8,9,2,10,11,12,3,4,5,1,7,6]=>[6,7,1,5,4,3,12,11,10,2,9,8]
[8,9,2,10,11,12,3,4,1,6,7,5]=>[5,7,6,1,4,3,12,11,10,2,9,8]
[8,9,2,10,11,12,3,1,5,6,7,4]=>[4,7,6,5,1,3,12,11,10,2,9,8]
[8,9,2,10,11,12,1,4,5,6,7,3]=>[3,7,6,5,4,1,12,11,10,2,9,8]
[8,9,10,2,3,4,11,5,12,1,7,6]=>[6,7,1,12,5,11,4,3,2,10,9,8]
[8,9,10,2,3,4,11,12,5,1,7,6]=>[6,7,1,5,12,11,4,3,2,10,9,8]
[8,9,10,2,3,4,11,12,1,6,7,5]=>[5,7,6,1,12,11,4,3,2,10,9,8]
[8,9,10,2,3,11,4,5,12,1,7,6]=>[6,7,1,12,5,4,11,3,2,10,9,8]
[8,9,10,2,3,11,4,12,5,1,7,6]=>[6,7,1,5,12,4,11,3,2,10,9,8]
[8,9,10,2,3,11,4,12,1,6,7,5]=>[5,7,6,1,12,4,11,3,2,10,9,8]
[8,9,10,2,3,11,12,4,5,1,7,6]=>[6,7,1,5,4,12,11,3,2,10,9,8]
[8,9,10,2,3,11,12,4,1,6,7,5]=>[5,7,6,1,4,12,11,3,2,10,9,8]
[8,9,10,2,3,11,12,1,5,6,7,4]=>[4,7,6,5,1,12,11,3,2,10,9,8]
[8,9,10,2,11,3,4,5,12,1,7,6]=>[6,7,1,12,5,4,3,11,2,10,9,8]
[8,9,10,2,11,3,4,12,5,1,7,6]=>[6,7,1,5,12,4,3,11,2,10,9,8]
[8,9,10,2,11,3,4,12,1,6,7,5]=>[5,7,6,1,12,4,3,11,2,10,9,8]
[8,9,10,2,11,3,12,4,5,1,7,6]=>[6,7,1,5,4,12,3,11,2,10,9,8]
[8,9,10,2,11,3,12,4,1,6,7,5]=>[5,7,6,1,4,12,3,11,2,10,9,8]
[8,9,10,2,11,3,12,1,5,6,7,4]=>[4,7,6,5,1,12,3,11,2,10,9,8]
[8,9,10,2,11,12,3,4,5,1,7,6]=>[6,7,1,5,4,3,12,11,2,10,9,8]
[8,9,10,2,11,12,3,4,1,6,7,5]=>[5,7,6,1,4,3,12,11,2,10,9,8]
[8,9,10,2,11,12,3,1,5,6,7,4]=>[4,7,6,5,1,3,12,11,2,10,9,8]
[8,9,10,2,11,12,1,4,5,6,7,3]=>[3,7,6,5,4,1,12,11,2,10,9,8]
[8,9,10,11,2,3,4,5,12,1,7,6]=>[6,7,1,12,5,4,3,2,11,10,9,8]
[8,9,10,11,2,3,4,12,5,1,7,6]=>[6,7,1,5,12,4,3,2,11,10,9,8]
[8,9,10,11,2,3,4,12,1,6,7,5]=>[5,7,6,1,12,4,3,2,11,10,9,8]
[8,9,10,11,2,3,12,4,5,1,7,6]=>[6,7,1,5,4,12,3,2,11,10,9,8]
[8,9,10,11,2,3,12,4,1,6,7,5]=>[5,7,6,1,4,12,3,2,11,10,9,8]
[8,9,10,11,2,3,12,1,5,6,7,4]=>[4,7,6,5,1,12,3,2,11,10,9,8]
[8,9,10,11,2,12,3,4,5,1,7,6]=>[6,7,1,5,4,3,12,2,11,10,9,8]
[8,9,10,11,2,12,3,4,1,6,7,5]=>[5,7,6,1,4,3,12,2,11,10,9,8]
[8,9,10,11,2,12,3,1,5,6,7,4]=>[4,7,6,5,1,3,12,2,11,10,9,8]
[8,9,10,11,2,12,1,4,5,6,7,3]=>[3,7,6,5,4,1,12,2,11,10,9,8]
[8,9,10,11,12,2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2,12,11,10,9,8]
[8,9,10,11,12,2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2,12,11,10,9,8]
[8,9,10,11,12,2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2,12,11,10,9,8]
[8,9,10,11,12,2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2,12,11,10,9,8]
[11,9,8,10,12,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,12,10,8,9,11]
[11,8,7,9,6,10,12,4,5,2,3,1]=>[1,3,2,5,4,12,10,6,9,7,8,11]
[11,10,12,7,6,8,9,4,5,2,3,1]=>[1,3,2,5,4,9,8,6,7,12,10,11]
[11,9,7,6,8,10,12,4,5,2,3,1]=>[1,3,2,5,4,12,10,8,6,7,9,11]
[11,8,7,9,5,6,4,10,12,2,3,1]=>[1,3,2,12,10,4,6,5,9,7,8,11]
[11,8,6,5,7,9,4,10,12,2,3,1]=>[1,3,2,12,10,4,9,7,5,6,8,11]
[11,10,12,6,5,7,4,8,9,2,3,1]=>[1,3,2,9,8,4,7,5,6,12,10,11]
[11,9,6,5,7,4,8,10,12,2,3,1]=>[1,3,2,12,10,8,4,7,5,6,9,11]
[11,10,12,8,9,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,9,8,12,10,11]
[11,9,8,10,12,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,12,10,8,9,11]
[11,8,7,9,5,4,6,10,12,2,3,1]=>[1,3,2,12,10,6,4,5,9,7,8,11]
[11,10,12,7,5,4,6,8,9,2,3,1]=>[1,3,2,9,8,6,4,5,7,12,10,11]
[11,9,7,5,4,6,8,10,12,2,3,1]=>[1,3,2,12,10,8,6,4,5,7,9,11]
[11,8,7,9,5,6,3,4,2,10,12,1]=>[1,12,10,2,4,3,6,5,9,7,8,11]
[11,8,6,5,7,9,3,4,2,10,12,1]=>[1,12,10,2,4,3,9,7,5,6,8,11]
[12,9,6,5,7,4,8,10,2,3,11,1]=>[1,11,3,2,10,8,4,7,5,6,9,12]
[11,8,7,9,4,3,5,6,2,10,12,1]=>[1,12,10,2,6,5,3,4,9,7,8,11]
[11,10,12,6,5,7,3,4,2,8,9,1]=>[1,9,8,2,4,3,7,5,6,12,10,11]
[11,10,12,6,4,3,5,7,2,8,9,1]=>[1,9,8,2,7,5,3,4,6,12,10,11]
[11,9,6,5,7,3,4,2,8,10,12,1]=>[1,12,10,8,2,4,3,7,5,6,9,11]
[11,10,12,8,9,4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4,9,8,12,10,11]
[11,9,8,10,12,4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4,12,10,8,9,11]
[11,10,12,7,4,3,5,2,6,8,9,1]=>[1,9,8,6,2,5,3,4,7,12,10,11]
[11,10,12,8,9,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,9,8,12,10,11]
[11,9,8,10,12,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,12,10,8,9,11]
[11,8,7,9,6,10,12,3,2,4,5,1]=>[1,5,4,2,3,12,10,6,9,7,8,11]
[11,10,12,7,6,8,9,3,2,4,5,1]=>[1,5,4,2,3,9,8,6,7,12,10,11]
[11,9,7,6,8,10,12,3,2,4,5,1]=>[1,5,4,2,3,12,10,8,6,7,9,11]
[11,8,7,9,5,6,3,2,4,10,12,1]=>[1,12,10,4,2,3,6,5,9,7,8,11]
[11,10,12,6,5,7,3,2,4,8,9,1]=>[1,9,8,4,2,3,7,5,6,12,10,11]
[11,10,12,8,9,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,9,8,12,10,11]
[11,9,8,10,12,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,12,10,8,9,11]
[11,10,12,7,5,3,2,4,6,8,9,1]=>[1,9,8,6,4,2,3,5,7,12,10,11]
[12,9,8,10,6,7,4,5,2,3,1,11]=>[11,1,3,2,5,4,7,6,10,8,9,12]
[12,9,7,6,8,10,4,5,2,3,1,11]=>[11,1,3,2,5,4,10,8,6,7,9,12]
[12,9,6,5,7,4,8,10,2,3,1,11]=>[11,1,3,2,10,8,4,7,5,6,9,12]
[12,9,8,10,5,4,6,7,2,3,1,11]=>[11,1,3,2,7,6,4,5,10,8,9,12]
[12,9,7,5,4,6,8,10,2,3,1,11]=>[11,1,3,2,10,8,6,4,5,7,9,12]
[12,9,6,5,7,3,4,2,8,10,1,11]=>[11,1,10,8,2,4,3,7,5,6,9,12]
[12,9,8,10,4,3,5,2,6,7,1,11]=>[11,1,7,6,2,5,3,4,10,8,9,12]
[12,9,8,10,6,7,3,2,4,5,1,11]=>[11,1,5,4,2,3,7,6,10,8,9,12]
[12,9,7,6,8,10,3,2,4,5,1,11]=>[11,1,5,4,2,3,10,8,6,7,9,12]
[12,9,8,10,5,3,2,4,6,7,1,11]=>[11,1,7,6,4,2,3,5,10,8,9,12]
[12,9,8,10,6,7,4,5,3,11,1,2]=>[2,1,11,3,5,4,7,6,10,8,9,12]
[12,9,7,6,8,10,4,5,3,11,1,2]=>[2,1,11,3,5,4,10,8,6,7,9,12]
[12,9,8,10,5,4,6,7,3,11,1,2]=>[2,1,11,3,7,6,4,5,10,8,9,12]
[12,9,7,5,4,6,8,10,3,11,1,2]=>[2,1,11,3,10,8,6,4,5,7,9,12]
[12,9,8,10,6,7,4,5,2,1,3,11]=>[11,3,1,2,5,4,7,6,10,8,9,12]
[12,9,7,6,8,10,4,5,2,1,3,11]=>[11,3,1,2,5,4,10,8,6,7,9,12]
[12,9,8,10,5,4,6,7,2,1,3,11]=>[11,3,1,2,7,6,4,5,10,8,9,12]
[12,9,8,10,6,7,5,11,3,4,1,2]=>[2,1,4,3,11,5,7,6,10,8,9,12]
[12,9,7,6,8,10,5,11,3,4,1,2]=>[2,1,4,3,11,5,10,8,6,7,9,12]
[12,9,8,10,6,7,4,3,5,11,1,2]=>[2,1,11,5,3,4,7,6,10,8,9,12]
[12,9,7,6,8,10,4,3,5,11,1,2]=>[2,1,11,5,3,4,10,8,6,7,9,12]
[12,9,8,10,5,4,6,2,3,1,7,11]=>[11,7,1,3,2,6,4,5,10,8,9,12]
[12,9,8,10,6,7,5,11,2,1,3,4]=>[4,3,1,2,11,5,7,6,10,8,9,12]
[12,9,7,6,8,10,5,11,2,1,3,4]=>[4,3,1,2,11,5,10,8,6,7,9,12]
[12,9,8,10,6,7,4,2,1,3,5,11]=>[11,5,3,1,2,4,7,6,10,8,9,12]
[12,9,8,10,7,11,5,6,3,4,1,2]=>[2,1,4,3,6,5,11,7,10,8,9,12]
[12,9,8,10,6,5,7,11,3,4,1,2]=>[2,1,4,3,11,7,5,6,10,8,9,12]
[12,9,8,10,5,4,6,3,7,11,1,2]=>[2,1,11,7,3,6,4,5,10,8,9,12]
[12,9,8,10,7,11,4,3,5,6,1,2]=>[2,1,6,5,3,4,11,7,10,8,9,12]
[12,9,8,10,6,4,3,5,7,11,1,2]=>[2,1,11,7,5,3,4,6,10,8,9,12]
[12,9,8,10,6,7,3,2,4,1,5,11]=>[11,5,1,4,2,3,7,6,10,8,9,12]
[12,9,8,10,7,11,3,2,4,1,5,6]=>[6,5,1,4,2,3,11,7,10,8,9,12]
[12,9,8,10,7,11,5,6,2,1,3,4]=>[4,3,1,2,6,5,11,7,10,8,9,12]
[12,9,8,10,6,5,7,11,2,1,3,4]=>[4,3,1,2,11,7,5,6,10,8,9,12]
[12,9,8,10,7,11,4,2,1,3,5,6]=>[6,5,3,1,2,4,11,7,10,8,9,12]
[12,10,8,7,9,11,5,6,3,4,1,2]=>[2,1,4,3,6,5,11,9,7,8,10,12]
[11,8,7,9,6,5,10,12,3,4,1,2]=>[2,1,4,3,12,10,5,6,9,7,8,11]
[12,10,9,11,6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6,11,9,10,12]
[12,10,8,6,5,7,9,11,3,4,1,2]=>[2,1,4,3,11,9,7,5,6,8,10,12]
[11,8,7,9,5,6,4,3,10,12,1,2]=>[2,1,12,10,3,4,6,5,9,7,8,11]
[11,8,6,5,7,9,4,3,10,12,1,2]=>[2,1,12,10,3,4,9,7,5,6,8,11]
[11,10,12,6,5,7,4,3,8,9,1,2]=>[2,1,9,8,3,4,7,5,6,12,10,11]
[11,9,6,5,7,4,3,8,10,12,1,2]=>[2,1,12,10,8,3,4,7,5,6,9,11]
[12,10,9,11,7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7,11,9,10,12]
[12,10,8,7,9,11,4,3,5,6,1,2]=>[2,1,6,5,3,4,11,9,7,8,10,12]
[11,8,7,9,6,4,3,5,10,12,1,2]=>[2,1,12,10,5,3,4,6,9,7,8,11]
[12,10,9,11,6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6,11,9,10,12]
[12,10,8,6,4,3,5,7,9,11,1,2]=>[2,1,11,9,7,5,3,4,6,8,10,12]
[11,8,7,9,5,6,3,4,2,1,10,12]=>[12,10,1,2,4,3,6,5,9,7,8,11]
[11,8,6,5,7,9,3,4,2,1,10,12]=>[12,10,1,2,4,3,9,7,5,6,8,11]
[12,9,6,5,7,4,3,8,10,1,2,11]=>[11,2,1,10,8,3,4,7,5,6,9,12]
[11,8,7,9,4,3,5,6,2,1,10,12]=>[12,10,1,2,6,5,3,4,9,7,8,11]
[11,8,6,4,3,5,7,9,2,1,10,12]=>[12,10,1,2,9,7,5,3,4,6,8,11]
[11,10,12,6,5,7,3,4,2,1,8,9]=>[9,8,1,2,4,3,7,5,6,12,10,11]
[11,10,12,6,4,3,5,7,2,1,8,9]=>[9,8,1,2,7,5,3,4,6,12,10,11]
[11,9,6,5,7,3,4,2,1,8,10,12]=>[12,10,8,1,2,4,3,7,5,6,9,11]
[11,9,6,4,3,5,7,2,1,8,10,12]=>[12,10,8,1,2,7,5,3,4,6,9,11]
[11,10,12,8,9,4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4,9,8,12,10,11]
[11,9,8,10,12,4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4,12,10,8,9,11]
[11,8,7,9,6,3,2,4,1,5,10,12]=>[12,10,5,1,4,2,3,6,9,7,8,11]
[11,10,12,7,4,3,5,2,1,6,8,9]=>[9,8,6,1,2,5,3,4,7,12,10,11]
[11,9,7,4,3,5,2,1,6,8,10,12]=>[12,10,8,6,1,2,5,3,4,7,9,11]
[12,10,9,11,7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7,11,9,10,12]
[12,10,8,7,9,11,5,6,2,1,3,4]=>[4,3,1,2,6,5,11,9,7,8,10,12]
[11,8,7,9,6,5,10,12,2,1,3,4]=>[4,3,1,2,12,10,5,6,9,7,8,11]
[12,10,9,11,6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6,11,9,10,12]
[12,10,8,6,5,7,9,11,2,1,3,4]=>[4,3,1,2,11,9,7,5,6,8,10,12]
[11,8,7,9,5,6,4,2,1,3,10,12]=>[12,10,3,1,2,4,6,5,9,7,8,11]
[11,8,6,5,7,9,4,2,1,3,10,12]=>[12,10,3,1,2,4,9,7,5,6,8,11]
[11,10,12,6,5,7,4,2,1,3,8,9]=>[9,8,3,1,2,4,7,5,6,12,10,11]
[11,9,6,5,7,4,2,1,3,8,10,12]=>[12,10,8,3,1,2,4,7,5,6,9,11]
[12,10,9,11,7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7,11,9,10,12]
[12,10,8,7,9,11,4,2,1,3,5,6]=>[6,5,3,1,2,4,11,9,7,8,10,12]
[11,8,7,9,6,4,2,1,3,5,10,12]=>[12,10,5,3,1,2,4,6,9,7,8,11]
[12,10,9,11,6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6,11,9,10,12]
[7,1,12,11,10,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,10,11,12,1,7]
[7,12,1,11,10,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,10,11,1,12,7]
[7,12,11,1,10,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,10,1,11,12,7]
[7,12,11,10,1,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,1,10,11,12,7]
[7,12,11,10,9,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,9,10,11,12,7]
[11,10,12,9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9,12,10,11]
[11,12,9,8,10,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,10,8,9,12,11]
[11,10,12,8,9,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,9,8,12,10,11]
[11,10,9,12,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,12,9,10,11]
[11,12,9,10,7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7,10,9,12,11]
[11,10,12,9,7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7,9,12,10,11]
[11,12,9,8,10,6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6,10,8,9,12,11]
[11,10,12,8,9,6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6,9,8,12,10,11]
[11,10,9,12,8,6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6,8,12,9,10,11]
[11,12,9,8,7,10,6,5,3,4,1,2]=>[2,1,4,3,5,6,10,7,8,9,12,11]
[11,10,12,8,7,9,6,5,3,4,1,2]=>[2,1,4,3,5,6,9,7,8,12,10,11]
[11,10,9,12,7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7,12,9,10,11]
[11,10,9,8,12,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,12,8,9,10,11]
[11,12,9,10,7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7,10,9,12,11]
[11,10,12,9,7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7,9,12,10,11]
[11,12,9,8,10,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,10,8,9,12,11]
[11,10,12,8,9,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,9,8,12,10,11]
[11,10,9,12,8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8,12,9,10,11]
[11,12,9,10,7,6,8,4,5,3,1,2]=>[2,1,3,5,4,8,6,7,10,9,12,11]
[11,10,12,9,7,6,8,4,5,3,1,2]=>[2,1,3,5,4,8,6,7,9,12,10,11]
[11,12,9,8,10,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,10,8,9,12,11]
[11,10,12,8,9,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,9,8,12,10,11]
[11,10,9,12,8,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,8,12,9,10,11]
[11,12,9,8,7,10,6,4,5,3,1,2]=>[2,1,3,5,4,6,10,7,8,9,12,11]
[11,10,12,8,7,9,6,4,5,3,1,2]=>[2,1,3,5,4,6,9,7,8,12,10,11]
[11,10,9,12,7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7,12,9,10,11]
[11,10,9,8,12,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,12,8,9,10,11]
[11,12,9,10,7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7,10,9,12,11]
[11,10,12,9,7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7,9,12,10,11]
[11,12,9,8,10,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,10,8,9,12,11]
[11,10,12,8,9,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,9,8,12,10,11]
[11,10,9,12,8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8,12,9,10,11]
[11,12,9,8,7,10,5,6,4,3,1,2]=>[2,1,3,4,6,5,10,7,8,9,12,11]
[11,10,12,8,7,9,5,6,4,3,1,2]=>[2,1,3,4,6,5,9,7,8,12,10,11]
[11,10,9,12,7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7,12,9,10,11]
[11,10,9,8,12,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,12,8,9,10,11]
[11,12,9,8,7,6,10,5,4,3,1,2]=>[2,1,3,4,5,10,6,7,8,9,12,11]
[11,10,12,8,7,6,9,5,4,3,1,2]=>[2,1,3,4,5,9,6,7,8,12,10,11]
[11,10,9,12,7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7,12,9,10,11]
[11,10,9,8,12,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,12,8,9,10,11]
[11,10,9,8,7,12,6,5,4,3,1,2]=>[2,1,3,4,5,6,12,7,8,9,10,11]
[11,12,9,10,7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7,10,9,12,11]
[11,10,12,9,7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7,9,12,10,11]
[11,12,9,8,10,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,10,8,9,12,11]
[11,10,12,8,9,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,9,8,12,10,11]
[11,10,9,12,8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8,12,9,10,11]
[11,12,9,10,7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7,10,9,12,11]
[11,12,9,8,10,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,10,8,9,12,11]
[11,10,12,8,9,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,9,8,12,10,11]
[11,10,9,12,8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8,12,9,10,11]
[11,12,9,8,7,10,6,5,3,2,4,1]=>[1,4,2,3,5,6,10,7,8,9,12,11]
[11,10,12,8,7,9,6,5,3,2,4,1]=>[1,4,2,3,5,6,9,7,8,12,10,11]
[11,10,9,12,7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7,12,9,10,11]
[11,12,9,10,7,8,5,4,6,2,3,1]=>[1,3,2,6,4,5,8,7,10,9,12,11]
[11,10,12,9,7,8,5,4,6,2,3,1]=>[1,3,2,6,4,5,8,7,9,12,10,11]
[11,12,9,8,10,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,10,8,9,12,11]
[11,10,12,8,9,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,9,8,12,10,11]
[11,10,9,12,8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8,12,9,10,11]
[11,12,9,10,7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7,10,9,12,11]
[11,10,12,9,7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7,9,12,10,11]
[11,12,9,8,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,8,9,12,11]
[11,12,9,8,7,10,6,4,5,2,3,1]=>[1,3,2,5,4,6,10,7,8,9,12,11]
[11,10,12,8,7,9,6,4,5,2,3,1]=>[1,3,2,5,4,6,9,7,8,12,10,11]
[11,12,9,10,7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7,10,9,12,11]
[11,10,12,9,7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7,9,12,10,11]
[11,12,9,8,10,6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6,10,8,9,12,11]
[11,10,12,8,9,6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6,9,8,12,10,11]
[11,10,9,12,8,6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6,8,12,9,10,11]
[11,12,9,8,7,10,5,6,4,2,3,1]=>[1,3,2,4,6,5,10,7,8,9,12,11]
[11,10,12,8,7,9,5,6,4,2,3,1]=>[1,3,2,4,6,5,9,7,8,12,10,11]
[11,12,9,8,7,6,10,5,4,2,3,1]=>[1,3,2,4,5,10,6,7,8,9,12,11]
[11,10,12,8,7,6,9,5,4,2,3,1]=>[1,3,2,4,5,9,6,7,8,12,10,11]
[11,10,9,12,7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7,12,9,10,11]
[11,12,9,10,7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7,10,9,12,11]
[11,10,12,9,7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7,9,12,10,11]
[11,12,9,8,10,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,10,8,9,12,11]
[11,10,12,8,9,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,9,8,12,10,11]
[11,10,9,12,8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8,12,9,10,11]
[11,12,9,10,7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7,10,9,12,11]
[11,10,12,9,7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7,9,12,10,11]
[11,12,9,8,10,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,10,8,9,12,11]
[11,10,12,8,9,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,9,8,12,10,11]
[11,10,9,12,8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8,12,9,10,11]
[11,12,9,8,7,10,6,4,3,5,2,1]=>[1,2,5,3,4,6,10,7,8,9,12,11]
[11,10,12,8,7,9,6,4,3,5,2,1]=>[1,2,5,3,4,6,9,7,8,12,10,11]
[11,10,9,12,7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7,12,9,10,11]
[11,10,9,8,12,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,12,8,9,10,11]
[11,12,9,10,7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7,10,9,12,11]
[11,10,12,9,7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7,9,12,10,11]
[11,12,9,8,10,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,10,8,9,12,11]
[11,10,12,8,9,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,9,8,12,10,11]
[11,10,9,12,8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8,12,9,10,11]
[11,12,9,8,7,10,5,6,3,4,2,1]=>[1,2,4,3,6,5,10,7,8,9,12,11]
[11,10,12,8,7,9,5,6,3,4,2,1]=>[1,2,4,3,6,5,9,7,8,12,10,11]
[11,12,9,8,7,6,10,5,3,4,2,1]=>[1,2,4,3,5,10,6,7,8,9,12,11]
[11,10,12,8,7,6,9,5,3,4,2,1]=>[1,2,4,3,5,9,6,7,8,12,10,11]
[11,10,9,12,7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7,12,9,10,11]
[11,12,9,10,7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7,10,9,12,11]
[11,12,9,8,10,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,10,8,9,12,11]
[11,10,12,8,9,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,9,8,12,10,11]
[11,10,9,12,8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8,12,9,10,11]
[11,12,9,8,7,10,5,4,6,3,2,1]=>[1,2,3,6,4,5,10,7,8,9,12,11]
[11,10,12,8,7,9,5,4,6,3,2,1]=>[1,2,3,6,4,5,9,7,8,12,10,11]
[11,10,9,12,7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7,12,9,10,11]
[11,12,9,8,7,6,10,4,5,3,2,1]=>[1,2,3,5,4,10,6,7,8,9,12,11]
[11,10,12,8,7,6,9,4,5,3,2,1]=>[1,2,3,5,4,9,6,7,8,12,10,11]
[11,10,9,12,7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7,12,9,10,11]
[11,12,9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9,12,11]
[11,10,12,8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8,12,10,11]
[11,10,9,12,7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7,12,9,10,11]
[11,10,9,8,12,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,12,8,9,10,11]
[12,2,9,8,10,6,1,11,4,5,3,7]=>[7,3,5,4,11,1,6,10,8,9,2,12]
[10,6,1,12,2,9,8,11,4,5,3,7]=>[7,3,5,4,11,8,9,2,12,1,6,10]
[9,12,2,8,10,6,1,11,4,5,3,7]=>[7,3,5,4,11,1,6,10,8,2,12,9]
[9,10,6,1,12,2,8,11,4,5,3,7]=>[7,3,5,4,11,8,2,12,1,6,10,9]
[10,6,1,9,12,2,8,11,4,5,3,7]=>[7,3,5,4,11,8,2,12,9,1,6,10]
[11,4,5,3,6,1,12,2,9,8,10,7]=>[7,10,8,9,2,12,1,6,3,5,4,11]
[12,2,9,8,11,4,5,3,6,1,10,7]=>[7,10,1,6,3,5,4,11,8,9,2,12]
[9,11,4,5,3,6,1,12,2,8,10,7]=>[7,10,8,2,12,1,6,3,5,4,11,9]
[9,12,2,8,11,4,5,3,6,1,10,7]=>[7,10,1,6,3,5,4,11,8,2,12,9]
[12,2,8,11,4,5,3,6,1,9,10,7]=>[7,10,9,1,6,3,5,4,11,8,2,12]
[9,10,8,11,4,5,3,6,1,12,2,7]=>[7,2,12,1,6,3,5,4,11,8,10,9]
[9,11,4,5,3,6,1,10,8,12,2,7]=>[7,2,12,8,10,1,6,3,5,4,11,9]
[11,4,5,3,6,1,9,10,8,12,2,7]=>[7,2,12,8,10,9,1,6,3,5,4,11]
[10,9,11,4,5,3,6,1,8,12,2,7]=>[7,2,12,8,1,6,3,5,4,11,9,10]
[4,12,2,9,8,10,6,1,11,5,3,7]=>[7,3,5,11,1,6,10,8,9,2,12,4]
[4,10,6,1,12,2,9,8,11,5,3,7]=>[7,3,5,11,8,9,2,12,1,6,10,4]
[4,9,12,2,8,10,6,1,11,5,3,7]=>[7,3,5,11,1,6,10,8,2,12,9,4]
[4,9,10,6,1,12,2,8,11,5,3,7]=>[7,3,5,11,8,2,12,1,6,10,9,4]
[4,10,6,1,9,12,2,8,11,5,3,7]=>[7,3,5,11,8,2,12,9,1,6,10,4]
[4,11,5,3,6,1,12,2,9,8,10,7]=>[7,10,8,9,2,12,1,6,3,5,11,4]
[4,12,2,9,8,11,5,3,6,1,10,7]=>[7,10,1,6,3,5,11,8,9,2,12,4]
[4,9,11,5,3,6,1,12,2,8,10,7]=>[7,10,8,2,12,1,6,3,5,11,9,4]
[4,9,12,2,8,11,5,3,6,1,10,7]=>[7,10,1,6,3,5,11,8,2,12,9,4]
[4,12,2,8,11,5,3,6,1,9,10,7]=>[7,10,9,1,6,3,5,11,8,2,12,4]
[4,9,10,8,11,5,3,6,1,12,2,7]=>[7,2,12,1,6,3,5,11,8,10,9,4]
[4,9,11,5,3,6,1,10,8,12,2,7]=>[7,2,12,8,10,1,6,3,5,11,9,4]
[4,11,5,3,6,1,9,10,8,12,2,7]=>[7,2,12,8,10,9,1,6,3,5,11,4]
[4,10,9,11,5,3,6,1,8,12,2,7]=>[7,2,12,8,1,6,3,5,11,9,10,4]
[4,5,3,11,6,1,12,2,9,8,10,7]=>[7,10,8,9,2,12,1,6,11,3,5,4]
[4,5,3,12,2,9,8,11,6,1,10,7]=>[7,10,1,6,11,8,9,2,12,3,5,4]
[4,5,3,9,11,6,1,12,2,8,10,7]=>[7,10,8,2,12,1,6,11,9,3,5,4]
[4,5,3,9,12,2,8,11,6,1,10,7]=>[7,10,1,6,11,8,2,12,9,3,5,4]
[4,5,3,12,2,8,11,6,1,9,10,7]=>[7,10,9,1,6,11,8,2,12,3,5,4]
[4,5,3,9,10,8,11,6,1,12,2,7]=>[7,2,12,1,6,11,8,10,9,3,5,4]
[4,5,3,9,11,6,1,10,8,12,2,7]=>[7,2,12,8,10,1,6,11,9,3,5,4]
[4,5,3,11,6,1,9,10,8,12,2,7]=>[7,2,12,8,10,9,1,6,11,3,5,4]
[4,5,3,10,9,11,6,1,8,12,2,7]=>[7,2,12,8,1,6,11,9,10,3,5,4]
[4,5,3,9,10,8,12,2,6,1,11,7]=>[7,11,1,6,2,12,8,10,9,3,5,4]
[4,5,3,9,12,2,6,1,10,8,11,7]=>[7,11,8,10,1,6,2,12,9,3,5,4]
[4,5,3,12,2,6,1,9,10,8,11,7]=>[7,11,8,10,9,1,6,2,12,3,5,4]
[4,5,3,10,9,12,2,6,1,8,11,7]=>[7,11,8,1,6,2,12,9,10,3,5,4]
[4,5,3,10,9,11,8,12,2,6,1,7]=>[7,1,6,2,12,8,11,9,10,3,5,4]
[11,4,5,2,9,8,10,6,1,12,3,7]=>[7,3,12,1,6,10,8,9,2,5,4,11]
[10,6,1,11,4,5,2,9,8,12,3,7]=>[7,3,12,8,9,2,5,4,11,1,6,10]
[9,11,4,5,2,8,10,6,1,12,3,7]=>[7,3,12,1,6,10,8,2,5,4,11,9]
[9,10,6,1,11,4,5,2,8,12,3,7]=>[7,3,12,8,2,5,4,11,1,6,10,9]
[10,6,1,9,11,4,5,2,8,12,3,7]=>[7,3,12,8,2,5,4,11,9,1,6,10]
[12,3,6,1,11,4,5,2,9,8,10,7]=>[7,10,8,9,2,5,4,11,1,6,3,12]
[11,4,5,2,9,8,12,3,6,1,10,7]=>[7,10,1,6,3,12,8,9,2,5,4,11]
[9,12,3,6,1,11,4,5,2,8,10,7]=>[7,10,8,2,5,4,11,1,6,3,12,9]
[9,11,4,5,2,8,12,3,6,1,10,7]=>[7,10,1,6,3,12,8,2,5,4,11,9]
[11,4,5,2,8,12,3,6,1,9,10,7]=>[7,10,9,1,6,3,12,8,2,5,4,11]
[9,10,8,12,3,6,1,11,4,5,2,7]=>[7,2,5,4,11,1,6,3,12,8,10,9]
[9,12,3,6,1,10,8,11,4,5,2,7]=>[7,2,5,4,11,8,10,1,6,3,12,9]
[12,3,6,1,9,10,8,11,4,5,2,7]=>[7,2,5,4,11,8,10,9,1,6,3,12]
[10,9,12,3,6,1,8,11,4,5,2,7]=>[7,2,5,4,11,8,1,6,3,12,9,10]
[4,11,5,2,9,8,10,6,1,12,3,7]=>[7,3,12,1,6,10,8,9,2,5,11,4]
[4,10,6,1,11,5,2,9,8,12,3,7]=>[7,3,12,8,9,2,5,11,1,6,10,4]
[4,9,11,5,2,8,10,6,1,12,3,7]=>[7,3,12,1,6,10,8,2,5,11,9,4]
[4,9,10,6,1,11,5,2,8,12,3,7]=>[7,3,12,8,2,5,11,1,6,10,9,4]
[4,10,6,1,9,11,5,2,8,12,3,7]=>[7,3,12,8,2,5,11,9,1,6,10,4]
[4,12,3,6,1,11,5,2,9,8,10,7]=>[7,10,8,9,2,5,11,1,6,3,12,4]
[4,11,5,2,9,8,12,3,6,1,10,7]=>[7,10,1,6,3,12,8,9,2,5,11,4]
[4,9,12,3,6,1,11,5,2,8,10,7]=>[7,10,8,2,5,11,1,6,3,12,9,4]
[4,9,11,5,2,8,12,3,6,1,10,7]=>[7,10,1,6,3,12,8,2,5,11,9,4]
[4,11,5,2,8,12,3,6,1,9,10,7]=>[7,10,9,1,6,3,12,8,2,5,11,4]
[4,9,10,8,12,3,6,1,11,5,2,7]=>[7,2,5,11,1,6,3,12,8,10,9,4]
[4,9,12,3,6,1,10,8,11,5,2,7]=>[7,2,5,11,8,10,1,6,3,12,9,4]
[4,12,3,6,1,9,10,8,11,5,2,7]=>[7,2,5,11,8,10,9,1,6,3,12,4]
[4,10,9,12,3,6,1,8,11,5,2,7]=>[7,2,5,11,8,1,6,3,12,9,10,4]
[4,11,6,1,12,3,5,2,9,8,10,7]=>[7,10,8,9,2,5,3,12,1,6,11,4]
[4,12,3,5,2,9,8,11,6,1,10,7]=>[7,10,1,6,11,8,9,2,5,3,12,4]
[4,9,11,6,1,12,3,5,2,8,10,7]=>[7,10,8,2,5,3,12,1,6,11,9,4]
[4,9,12,3,5,2,8,11,6,1,10,7]=>[7,10,1,6,11,8,2,5,3,12,9,4]
[4,12,3,5,2,8,11,6,1,9,10,7]=>[7,10,9,1,6,11,8,2,5,3,12,4]
[4,9,10,8,11,6,1,12,3,5,2,7]=>[7,2,5,3,12,1,6,11,8,10,9,4]
[4,9,11,6,1,10,8,12,3,5,2,7]=>[7,2,5,3,12,8,10,1,6,11,9,4]
[4,11,6,1,9,10,8,12,3,5,2,7]=>[7,2,5,3,12,8,10,9,1,6,11,4]
[4,10,9,11,6,1,8,12,3,5,2,7]=>[7,2,5,3,12,8,1,6,11,9,10,4]
[4,9,10,8,12,3,5,2,6,1,11,7]=>[7,11,1,6,2,5,3,12,8,10,9,4]
[4,9,12,3,5,2,6,1,10,8,11,7]=>[7,11,8,10,1,6,2,5,3,12,9,4]
[4,12,3,5,2,6,1,9,10,8,11,7]=>[7,11,8,10,9,1,6,2,5,3,12,4]
[4,10,9,12,3,5,2,6,1,8,11,7]=>[7,11,8,1,6,2,5,3,12,9,10,4]
[4,10,9,11,8,12,3,5,2,6,1,7]=>[7,1,6,2,5,3,12,8,11,9,10,4]
[11,5,2,9,8,10,6,1,12,4,3,7]=>[7,3,4,12,1,6,10,8,9,2,5,11]
[10,6,1,11,5,2,9,8,12,4,3,7]=>[7,3,4,12,8,9,2,5,11,1,6,10]
[9,11,5,2,8,10,6,1,12,4,3,7]=>[7,3,4,12,1,6,10,8,2,5,11,9]
[9,10,6,1,11,5,2,8,12,4,3,7]=>[7,3,4,12,8,2,5,11,1,6,10,9]
[10,6,1,9,11,5,2,8,12,4,3,7]=>[7,3,4,12,8,2,5,11,9,1,6,10]
[12,4,3,6,1,11,5,2,9,8,10,7]=>[7,10,8,9,2,5,11,1,6,3,4,12]
[11,5,2,9,8,12,4,3,6,1,10,7]=>[7,10,1,6,3,4,12,8,9,2,5,11]
[9,12,4,3,6,1,11,5,2,8,10,7]=>[7,10,8,2,5,11,1,6,3,4,12,9]
[9,11,5,2,8,12,4,3,6,1,10,7]=>[7,10,1,6,3,4,12,8,2,5,11,9]
[11,5,2,8,12,4,3,6,1,9,10,7]=>[7,10,9,1,6,3,4,12,8,2,5,11]
[9,10,8,12,4,3,6,1,11,5,2,7]=>[7,2,5,11,1,6,3,4,12,8,10,9]
[9,12,4,3,6,1,10,8,11,5,2,7]=>[7,2,5,11,8,10,1,6,3,4,12,9]
[12,4,3,6,1,9,10,8,11,5,2,7]=>[7,2,5,11,8,10,9,1,6,3,4,12]
[10,9,12,4,3,6,1,8,11,5,2,7]=>[7,2,5,11,8,1,6,3,4,12,9,10]
[11,6,1,12,4,3,5,2,9,8,10,7]=>[7,10,8,9,2,5,3,4,12,1,6,11]
[12,4,3,5,2,9,8,11,6,1,10,7]=>[7,10,1,6,11,8,9,2,5,3,4,12]
[9,11,6,1,12,4,3,5,2,8,10,7]=>[7,10,8,2,5,3,4,12,1,6,11,9]
[9,12,4,3,5,2,8,11,6,1,10,7]=>[7,10,1,6,11,8,2,5,3,4,12,9]
[12,4,3,5,2,8,11,6,1,9,10,7]=>[7,10,9,1,6,11,8,2,5,3,4,12]
[9,10,8,11,6,1,12,4,3,5,2,7]=>[7,2,5,3,4,12,1,6,11,8,10,9]
[9,11,6,1,10,8,12,4,3,5,2,7]=>[7,2,5,3,4,12,8,10,1,6,11,9]
[11,6,1,9,10,8,12,4,3,5,2,7]=>[7,2,5,3,4,12,8,10,9,1,6,11]
[10,9,11,6,1,8,12,4,3,5,2,7]=>[7,2,5,3,4,12,8,1,6,11,9,10]
[9,10,8,12,4,3,5,2,6,1,11,7]=>[7,11,1,6,2,5,3,4,12,8,10,9]
[9,12,4,3,5,2,6,1,10,8,11,7]=>[7,11,8,10,1,6,2,5,3,4,12,9]
[12,4,3,5,2,6,1,9,10,8,11,7]=>[7,11,8,10,9,1,6,2,5,3,4,12]
[10,9,12,4,3,5,2,6,1,8,11,7]=>[7,11,8,1,6,2,5,3,4,12,9,10]
[4,3,11,6,1,12,5,2,9,8,10,7]=>[7,10,8,9,2,5,12,1,6,11,3,4]
[4,3,12,5,2,9,8,11,6,1,10,7]=>[7,10,1,6,11,8,9,2,5,12,3,4]
[4,3,9,11,6,1,12,5,2,8,10,7]=>[7,10,8,2,5,12,1,6,11,9,3,4]
[4,3,9,12,5,2,8,11,6,1,10,7]=>[7,10,1,6,11,8,2,5,12,9,3,4]
[4,3,12,5,2,8,11,6,1,9,10,7]=>[7,10,9,1,6,11,8,2,5,12,3,4]
[4,3,9,10,8,11,6,1,12,5,2,7]=>[7,2,5,12,1,6,11,8,10,9,3,4]
[4,3,9,11,6,1,10,8,12,5,2,7]=>[7,2,5,12,8,10,1,6,11,9,3,4]
[4,3,11,6,1,9,10,8,12,5,2,7]=>[7,2,5,12,8,10,9,1,6,11,3,4]
[4,3,10,9,11,6,1,8,12,5,2,7]=>[7,2,5,12,8,1,6,11,9,10,3,4]
[4,3,9,10,8,12,5,2,6,1,11,7]=>[7,11,1,6,2,5,12,8,10,9,3,4]
[4,3,9,12,5,2,6,1,10,8,11,7]=>[7,11,8,10,1,6,2,5,12,9,3,4]
[4,3,12,5,2,6,1,9,10,8,11,7]=>[7,11,8,10,9,1,6,2,5,12,3,4]
[4,3,10,9,12,5,2,6,1,8,11,7]=>[7,11,8,1,6,2,5,12,9,10,3,4]
[4,3,10,9,11,8,12,5,2,6,1,7]=>[7,1,6,2,5,12,8,11,9,10,3,4]
[4,3,5,2,9,10,8,12,6,1,11,7]=>[7,11,1,6,12,8,10,9,2,5,3,4]
[4,3,5,2,9,12,6,1,10,8,11,7]=>[7,11,8,10,1,6,12,9,2,5,3,4]
[4,3,5,2,12,6,1,9,10,8,11,7]=>[7,11,8,10,9,1,6,12,2,5,3,4]
[4,3,5,2,10,9,12,6,1,8,11,7]=>[7,11,8,1,6,12,9,10,2,5,3,4]
[4,3,5,2,10,9,11,8,12,6,1,7]=>[7,1,6,12,8,11,9,10,2,5,3,4]
[12,9,10,7,8,5,6,3,1,4,2,11]=>[11,2,4,1,3,6,5,8,7,10,9,12]
[12,9,10,7,8,5,3,6,4,1,2,11]=>[11,2,1,4,6,3,5,8,7,10,9,12]
[12,9,10,7,8,5,3,6,1,4,2,11]=>[11,2,4,1,6,3,5,8,7,10,9,12]
[12,9,10,7,8,5,3,1,6,4,2,11]=>[11,2,4,6,1,3,5,8,7,10,9,12]
[12,9,10,7,5,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,5,7,10,9,12]
[12,9,10,7,5,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,5,7,10,9,12]
[12,9,10,7,5,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,5,7,10,9,12]
[12,9,10,7,5,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,5,7,10,9,12]
[12,9,10,7,5,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,5,7,10,9,12]
[12,9,10,7,5,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,5,7,10,9,12]
[12,9,10,7,5,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,5,7,10,9,12]
[12,9,10,7,5,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,5,7,10,9,12]
[12,9,10,7,5,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,5,7,10,9,12]
[12,9,7,10,8,5,6,3,4,1,2,11]=>[11,2,1,4,3,6,5,8,10,7,9,12]
[12,9,7,10,8,5,6,3,1,4,2,11]=>[11,2,4,1,3,6,5,8,10,7,9,12]
[12,9,7,10,8,5,3,6,4,1,2,11]=>[11,2,1,4,6,3,5,8,10,7,9,12]
[12,9,7,10,8,5,3,6,1,4,2,11]=>[11,2,4,1,6,3,5,8,10,7,9,12]
[12,9,7,10,8,5,3,1,6,4,2,11]=>[11,2,4,6,1,3,5,8,10,7,9,12]
[12,9,7,10,5,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,5,10,7,9,12]
[12,9,7,10,5,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,5,10,7,9,12]
[12,9,7,10,5,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,5,10,7,9,12]
[12,9,7,10,5,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,5,10,7,9,12]
[12,9,7,10,5,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,5,10,7,9,12]
[12,9,7,10,5,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,5,10,7,9,12]
[12,9,7,10,5,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,5,10,7,9,12]
[12,9,7,10,5,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,5,10,7,9,12]
[12,9,7,10,5,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,5,10,7,9,12]
[12,9,7,5,10,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,10,5,7,9,12]
[12,9,7,5,10,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,10,5,7,9,12]
[12,9,7,5,10,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,10,5,7,9,12]
[12,9,7,5,10,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,10,5,7,9,12]
[12,9,7,5,10,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,10,5,7,9,12]
[12,9,7,5,10,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,10,5,7,9,12]
[12,9,7,5,10,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,10,5,7,9,12]
[12,9,7,5,10,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,10,5,7,9,12]
[12,9,7,5,10,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,10,5,7,9,12]
[12,9,7,5,3,10,8,6,4,1,2,11]=>[11,2,1,4,6,8,10,3,5,7,9,12]
[12,9,7,5,3,10,8,6,1,4,2,11]=>[11,2,4,1,6,8,10,3,5,7,9,12]
[12,9,7,5,3,10,8,1,6,4,2,11]=>[11,2,4,6,1,8,10,3,5,7,9,12]
[12,9,7,5,3,10,1,8,6,4,2,11]=>[11,2,4,6,8,1,10,3,5,7,9,12]
[12,9,7,5,3,1,10,8,6,4,2,11]=>[11,2,4,6,8,10,1,3,5,7,9,12]
[9,12,10,7,8,5,6,3,4,1,2,11]=>[11,2,1,4,3,6,5,8,7,10,12,9]
[9,12,10,7,8,5,6,3,1,4,2,11]=>[11,2,4,1,3,6,5,8,7,10,12,9]
[9,12,10,7,8,5,3,6,4,1,2,11]=>[11,2,1,4,6,3,5,8,7,10,12,9]
[9,12,10,7,8,5,3,6,1,4,2,11]=>[11,2,4,1,6,3,5,8,7,10,12,9]
[9,12,10,7,8,5,3,1,6,4,2,11]=>[11,2,4,6,1,3,5,8,7,10,12,9]
[9,12,10,7,5,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,5,7,10,12,9]
[9,12,10,7,5,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,5,7,10,12,9]
[9,12,10,7,5,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,5,7,10,12,9]
[9,12,10,7,5,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,5,7,10,12,9]
[9,12,10,7,5,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,5,7,10,12,9]
[9,12,10,7,5,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,5,7,10,12,9]
[9,12,10,7,5,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,5,7,10,12,9]
[9,12,10,7,5,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,5,7,10,12,9]
[9,12,10,7,5,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,5,7,10,12,9]
[9,12,7,10,8,5,6,3,4,1,2,11]=>[11,2,1,4,3,6,5,8,10,7,12,9]
[9,12,7,10,8,5,6,3,1,4,2,11]=>[11,2,4,1,3,6,5,8,10,7,12,9]
[9,12,7,10,8,5,3,6,4,1,2,11]=>[11,2,1,4,6,3,5,8,10,7,12,9]
[9,12,7,10,8,5,3,6,1,4,2,11]=>[11,2,4,1,6,3,5,8,10,7,12,9]
[9,12,7,10,8,5,3,1,6,4,2,11]=>[11,2,4,6,1,3,5,8,10,7,12,9]
[9,12,7,10,5,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,5,10,7,12,9]
[9,12,7,10,5,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,5,10,7,12,9]
[9,12,7,10,5,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,5,10,7,12,9]
[9,12,7,10,5,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,5,10,7,12,9]
[9,12,7,10,5,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,5,10,7,12,9]
[9,12,7,10,5,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,5,10,7,12,9]
[9,12,7,10,5,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,5,10,7,12,9]
[9,12,7,10,5,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,5,10,7,12,9]
[9,12,7,5,10,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,10,5,7,12,9]
[9,12,7,5,10,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,10,5,7,12,9]
[9,12,7,5,10,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,10,5,7,12,9]
[9,12,7,5,10,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,10,5,7,12,9]
[9,12,7,5,10,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,10,5,7,12,9]
[9,12,7,5,10,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,10,5,7,12,9]
[9,12,7,5,10,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,10,5,7,12,9]
[9,12,7,5,10,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,10,5,7,12,9]
[9,12,7,5,10,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,10,5,7,12,9]
[9,12,7,5,3,10,8,6,4,1,2,11]=>[11,2,1,4,6,8,10,3,5,7,12,9]
[9,12,7,5,3,10,8,6,1,4,2,11]=>[11,2,4,1,6,8,10,3,5,7,12,9]
[9,12,7,5,3,10,8,1,6,4,2,11]=>[11,2,4,6,1,8,10,3,5,7,12,9]
[9,12,7,5,3,10,1,8,6,4,2,11]=>[11,2,4,6,8,1,10,3,5,7,12,9]
[9,12,7,5,3,1,10,8,6,4,2,11]=>[11,2,4,6,8,10,1,3,5,7,12,9]
[9,7,12,10,8,5,6,3,4,1,2,11]=>[11,2,1,4,3,6,5,8,10,12,7,9]
[9,7,12,10,8,5,6,3,1,4,2,11]=>[11,2,4,1,3,6,5,8,10,12,7,9]
[9,7,12,10,8,5,3,6,4,1,2,11]=>[11,2,1,4,6,3,5,8,10,12,7,9]
[9,7,12,10,8,5,3,6,1,4,2,11]=>[11,2,4,1,6,3,5,8,10,12,7,9]
[9,7,12,10,8,5,3,1,6,4,2,11]=>[11,2,4,6,1,3,5,8,10,12,7,9]
[9,7,12,10,5,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,5,10,12,7,9]
[9,7,12,10,5,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,5,10,12,7,9]
[9,7,12,10,5,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,5,10,12,7,9]
[9,7,12,10,5,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,5,10,12,7,9]
[9,7,12,10,5,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,5,10,12,7,9]
[9,7,12,10,5,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,5,10,12,7,9]
[9,7,12,10,5,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,5,10,12,7,9]
[9,7,12,10,5,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,5,10,12,7,9]
[9,7,12,10,5,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,5,10,12,7,9]
[9,7,12,5,10,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,10,5,12,7,9]
[9,7,12,5,10,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,10,5,12,7,9]
[9,7,12,5,10,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,10,5,12,7,9]
[9,7,12,5,10,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,10,5,12,7,9]
[9,7,12,5,10,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,10,5,12,7,9]
[9,7,12,5,10,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,10,5,12,7,9]
[9,7,12,5,10,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,10,5,12,7,9]
[9,7,12,5,10,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,10,5,12,7,9]
[9,7,12,5,10,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,10,5,12,7,9]
[9,7,12,5,3,10,8,6,4,1,2,11]=>[11,2,1,4,6,8,10,3,5,12,7,9]
[9,7,12,5,3,10,8,6,1,4,2,11]=>[11,2,4,1,6,8,10,3,5,12,7,9]
[9,7,12,5,3,10,8,1,6,4,2,11]=>[11,2,4,6,1,8,10,3,5,12,7,9]
[9,7,12,5,3,10,1,8,6,4,2,11]=>[11,2,4,6,8,1,10,3,5,12,7,9]
[9,7,12,5,3,1,10,8,6,4,2,11]=>[11,2,4,6,8,10,1,3,5,12,7,9]
[9,7,5,12,10,8,6,3,4,1,2,11]=>[11,2,1,4,3,6,8,10,12,5,7,9]
[9,7,5,12,10,8,6,3,1,4,2,11]=>[11,2,4,1,3,6,8,10,12,5,7,9]
[9,7,5,12,10,8,3,6,4,1,2,11]=>[11,2,1,4,6,3,8,10,12,5,7,9]
[9,7,5,12,10,8,3,6,1,4,2,11]=>[11,2,4,1,6,3,8,10,12,5,7,9]
[9,7,5,12,10,8,3,1,6,4,2,11]=>[11,2,4,6,1,3,8,10,12,5,7,9]
[9,7,5,12,10,3,8,6,4,1,2,11]=>[11,2,1,4,6,8,3,10,12,5,7,9]
[9,7,5,12,10,3,8,6,1,4,2,11]=>[11,2,4,1,6,8,3,10,12,5,7,9]
[9,7,5,12,10,3,8,1,6,4,2,11]=>[11,2,4,6,1,8,3,10,12,5,7,9]
[9,7,5,12,10,3,1,8,6,4,2,11]=>[11,2,4,6,8,1,3,10,12,5,7,9]
[9,7,5,12,3,10,8,6,4,1,2,11]=>[11,2,1,4,6,8,10,3,12,5,7,9]
[9,7,5,12,3,10,8,6,1,4,2,11]=>[11,2,4,1,6,8,10,3,12,5,7,9]
[9,7,5,12,3,10,8,1,6,4,2,11]=>[11,2,4,6,1,8,10,3,12,5,7,9]
[9,7,5,12,3,10,1,8,6,4,2,11]=>[11,2,4,6,8,1,10,3,12,5,7,9]
[9,7,5,12,3,1,10,8,6,4,2,11]=>[11,2,4,6,8,10,1,3,12,5,7,9]
[9,7,5,3,12,10,8,6,4,1,2,11]=>[11,2,1,4,6,8,10,12,3,5,7,9]
[9,7,5,3,12,10,8,6,1,4,2,11]=>[11,2,4,1,6,8,10,12,3,5,7,9]
[9,7,5,3,12,10,8,1,6,4,2,11]=>[11,2,4,6,1,8,10,12,3,5,7,9]
[9,7,5,3,12,10,1,8,6,4,2,11]=>[11,2,4,6,8,1,10,12,3,5,7,9]
[9,7,5,3,12,1,10,8,6,4,2,11]=>[11,2,4,6,8,10,1,12,3,5,7,9]
[12,11,2,4,6,8,1,3,5,7,9,10]=>[10,9,7,5,3,1,8,6,4,2,11,12]
[10,9,2,4,6,12,1,3,5,7,8,11]=>[11,8,7,5,3,1,12,6,4,2,9,10]
[2,12,9,11,4,6,1,3,5,7,8,10]=>[10,8,7,5,3,1,6,4,11,9,12,2]
[2,12,11,10,4,6,1,3,5,7,8,9]=>[9,8,7,5,3,1,6,4,10,11,12,2]
[8,7,2,4,10,12,1,3,5,6,9,11]=>[11,9,6,5,3,1,12,10,4,2,7,8]
[8,12,7,11,2,4,1,3,5,6,9,10]=>[10,9,6,5,3,1,4,2,11,7,12,8]
[2,10,7,9,4,12,1,3,5,6,8,11]=>[11,8,6,5,3,1,12,4,9,7,10,2]
[2,7,12,9,11,1,4,3,5,6,8,10]=>[10,8,6,5,3,4,1,11,9,12,7,2]
[12,11,10,2,7,1,4,3,5,6,8,9]=>[9,8,6,5,3,4,1,7,2,10,11,12]
[2,10,9,8,4,12,1,3,5,6,7,11]=>[11,7,6,5,3,1,12,4,8,9,10,2]
[2,9,8,12,11,1,4,3,5,6,7,10]=>[10,7,6,5,3,4,1,11,12,8,9,2]
[2,1,12,11,8,10,4,3,5,6,7,9]=>[9,7,6,5,3,4,10,8,11,12,1,2]
[2,12,1,11,10,9,4,3,5,6,7,8]=>[8,7,6,5,3,4,9,10,11,1,12,2]
[6,5,2,8,10,12,1,3,4,7,9,11]=>[11,9,7,4,3,1,12,10,8,2,5,6]
[6,12,5,11,2,8,1,3,4,7,9,10]=>[10,9,7,4,3,1,8,2,11,5,12,6]
[6,10,5,9,2,12,1,3,4,7,8,11]=>[11,8,7,4,3,1,12,2,9,5,10,6]
[6,5,12,9,11,2,1,3,4,7,8,10]=>[10,8,7,4,3,1,2,11,9,12,5,6]
[12,11,6,10,5,2,1,3,4,7,8,9]=>[9,8,7,4,3,1,2,5,10,6,11,12]
[2,8,5,1,7,10,12,3,4,6,9,11]=>[11,9,6,4,3,12,10,7,1,5,8,2]
[2,8,12,5,7,1,11,3,4,6,9,10]=>[10,9,6,4,3,11,1,7,5,12,8,2]
[2,5,10,7,1,3,9,12,4,6,8,11]=>[11,8,6,4,12,9,3,1,7,10,5,2]
[5,2,12,7,9,1,3,4,11,6,8,10]=>[10,8,6,11,4,3,1,9,7,12,2,5]
[12,11,5,10,2,1,3,4,7,6,8,9]=>[9,8,6,7,4,3,1,2,10,5,11,12]
[10,9,8,2,1,3,5,12,4,6,7,11]=>[11,7,6,4,12,5,3,1,2,8,9,10]
[12,5,2,9,8,1,3,4,11,6,7,10]=>[10,7,6,11,4,3,1,8,9,2,5,12]
[2,12,11,5,1,8,3,4,10,6,7,9]=>[9,7,6,10,4,3,8,1,5,11,12,2]
[12,2,1,11,10,5,3,4,9,6,7,8]=>[8,7,6,9,4,3,5,10,11,1,2,12]
[2,1,8,7,6,10,12,3,4,5,9,11]=>[11,9,5,4,3,12,10,6,7,8,1,2]
[2,8,7,12,6,1,11,3,4,5,9,10]=>[10,9,5,4,3,11,1,6,12,7,8,2]
[2,10,7,1,6,3,9,12,4,5,8,11]=>[11,8,5,4,12,9,3,6,1,7,10,2]
[2,12,1,7,6,9,3,4,11,5,8,10]=>[10,8,5,11,4,3,9,6,7,1,12,2]
[7,12,11,2,1,6,3,4,10,5,8,9]=>[9,8,5,10,4,3,6,1,2,11,12,7]
[10,2,1,6,3,9,8,12,4,5,7,11]=>[11,7,5,4,12,8,9,3,6,1,2,10]
[2,1,12,9,3,6,8,4,11,5,7,10]=>[10,7,5,11,4,8,6,3,9,12,1,2]
[2,12,6,1,8,3,4,11,10,5,7,9]=>[9,7,5,10,11,4,3,8,1,6,12,2]
[2,1,12,11,10,3,4,9,6,5,7,8]=>[8,7,5,6,9,4,3,10,11,12,1,2]
[2,1,3,10,9,8,7,12,4,5,6,11]=>[11,6,5,4,12,7,8,9,10,3,1,2]
[2,12,1,9,8,3,7,4,11,5,6,10]=>[10,6,5,11,4,7,3,8,9,1,12,2]
[12,2,1,8,3,7,4,11,10,5,6,9]=>[9,6,5,10,11,4,7,3,8,1,2,12]
[2,1,12,3,7,4,11,10,9,5,6,8]=>[8,6,5,9,10,11,4,7,3,12,1,2]
[2,1,3,4,12,11,10,9,8,5,6,7]=>[7,6,5,8,9,10,11,12,4,3,1,2]
[1,4,3,6,8,10,12,2,5,7,9,11]=>[11,9,7,5,2,12,10,8,6,3,4,1]
[12,1,4,11,3,6,8,2,5,7,9,10]=>[10,9,7,5,2,8,6,3,11,4,1,12]
[10,1,4,9,3,6,12,2,5,7,8,11]=>[11,8,7,5,2,12,6,3,9,4,1,10]
[12,4,3,9,11,1,6,2,5,7,8,10]=>[10,8,7,5,2,6,1,11,9,3,4,12]
[12,11,4,3,10,1,6,2,5,7,8,9]=>[9,8,7,5,2,6,1,10,3,4,11,12]
[4,8,3,1,7,10,12,2,5,6,9,11]=>[11,9,6,5,2,12,10,7,1,3,8,4]
[4,8,12,3,7,1,11,2,5,6,9,10]=>[10,9,6,5,2,11,1,7,3,12,8,4]
[4,3,10,7,1,9,12,2,5,6,8,11]=>[11,8,6,5,2,12,9,1,7,10,3,4]
[4,3,7,9,1,12,11,2,5,6,8,10]=>[10,8,6,5,2,11,12,1,9,7,3,4]
[12,4,11,3,1,10,7,2,5,6,8,9]=>[9,8,6,5,2,7,10,1,3,11,4,12]
[10,9,4,1,8,3,12,2,5,6,7,11]=>[11,7,6,5,2,12,3,8,1,4,9,10]
[9,4,8,3,1,12,11,2,5,6,7,10]=>[10,7,6,5,2,11,12,1,3,8,4,9]
[4,8,1,12,11,10,3,2,5,6,7,9]=>[9,7,6,5,2,3,10,11,12,1,8,4]
[1,12,11,10,9,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,9,10,11,12,1]
[3,1,6,2,5,8,10,12,4,7,9,11]=>[11,9,7,4,12,10,8,5,2,6,1,3]
[3,12,1,6,11,2,5,8,4,7,9,10]=>[10,9,7,4,8,5,2,11,6,1,12,3]
[6,10,1,3,5,2,9,12,4,7,8,11]=>[11,8,7,4,12,9,2,5,3,1,10,6]
[12,1,6,3,5,9,2,11,4,7,8,10]=>[10,8,7,4,11,2,9,5,3,6,1,12]
[12,11,3,6,1,10,2,5,4,7,8,9]=>[9,8,7,4,5,2,10,1,6,3,11,12]
[3,5,1,8,2,4,7,10,12,6,9,11]=>[11,9,6,12,10,7,4,2,8,1,5,3]
[3,8,12,1,5,7,2,4,11,6,9,10]=>[10,9,6,11,4,2,7,5,1,12,8,3]
[3,5,7,1,10,2,4,6,9,12,8,11]=>[11,8,12,9,6,4,2,10,1,7,5,3]
[3,5,7,9,1,12,2,4,6,8,11,10]=>[10,11,8,6,4,2,12,1,9,7,5,3]
[12,11,3,5,1,7,2,4,6,8,10,9]=>[9,10,8,6,4,2,7,1,5,3,11,12]
[10,9,3,1,5,2,4,6,8,12,7,11]=>[11,7,12,8,6,4,2,5,1,3,9,10]
[9,8,3,5,1,12,2,4,6,7,11,10]=>[10,11,7,6,4,2,12,1,5,3,8,9]
[3,12,8,1,11,5,2,4,6,7,10,9]=>[9,10,7,6,4,2,5,11,1,8,12,3]
[3,1,12,11,10,5,2,4,6,7,9,8]=>[8,9,7,6,4,2,5,10,11,12,1,3]
[1,8,7,3,2,4,6,10,12,5,9,11]=>[11,9,5,12,10,6,4,2,3,7,8,1]
[3,8,7,12,1,6,2,4,11,5,9,10]=>[10,9,5,11,4,2,6,1,12,7,8,3]
[7,6,3,1,10,2,4,5,9,12,8,11]=>[11,8,12,9,5,4,2,10,1,3,6,7]
[7,6,3,9,1,12,2,4,5,8,11,10]=>[10,11,8,5,4,2,12,1,9,3,6,7]
[7,12,6,1,11,3,2,4,5,8,10,9]=>[9,10,8,5,4,2,3,11,1,6,12,7]
[3,1,10,6,2,9,4,5,8,12,7,11]=>[11,7,12,8,5,4,9,2,6,10,1,3]
[3,1,9,6,8,2,12,4,5,7,11,10]=>[10,11,7,5,4,12,2,8,6,9,1,3]
[3,6,1,12,8,2,4,11,5,7,10,9]=>[9,10,7,5,11,4,2,8,12,1,6,3]
[1,12,11,10,3,2,4,6,5,7,9,8]=>[8,9,7,5,6,4,2,3,10,11,12,1]
[1,3,2,10,9,8,4,5,7,12,6,11]=>[11,6,12,7,5,4,8,9,10,2,3,1]
[1,3,9,8,7,2,12,4,5,6,11,10]=>[10,11,6,5,4,12,2,7,8,9,3,1]
[3,1,12,8,2,7,4,11,5,6,10,9]=>[9,10,6,5,11,4,7,2,8,12,1,3]
[1,12,3,2,7,4,11,10,5,6,9,8]=>[8,9,6,5,10,11,4,7,2,3,12,1]
[1,3,2,4,12,11,10,9,5,6,8,7]=>[7,8,6,5,9,10,11,12,4,2,3,1]
[1,2,6,5,4,8,10,12,3,7,9,11]=>[11,9,7,3,12,10,8,4,5,6,2,1]
[1,2,6,12,5,11,4,8,3,7,9,10]=>[10,9,7,3,8,4,11,5,12,6,2,1]
[6,1,5,10,4,2,9,12,3,7,8,11]=>[11,8,7,3,12,9,2,4,10,5,1,6]
[6,5,4,12,1,9,2,11,3,7,8,10]=>[10,8,7,3,11,2,9,1,12,4,5,6]
[6,12,5,1,11,4,2,10,3,7,8,9]=>[9,8,7,3,10,2,4,11,1,5,12,6]
[5,1,4,2,8,3,7,10,12,6,9,11]=>[11,9,6,12,10,7,3,8,2,4,1,5]
[1,2,5,8,12,4,7,3,11,6,9,10]=>[10,9,6,11,3,7,4,12,8,5,2,1]
[5,1,4,7,2,10,3,6,9,12,8,11]=>[11,8,12,9,6,3,10,2,7,4,1,5]
[5,1,4,7,9,2,12,3,6,8,11,10]=>[10,11,8,6,3,12,2,9,7,4,1,5]
[12,5,11,1,4,2,7,3,6,8,10,9]=>[9,10,8,6,3,7,2,4,1,11,5,12]
[5,1,10,4,2,9,3,6,8,12,7,11]=>[11,7,12,8,6,3,9,2,4,10,1,5]
[5,4,9,1,8,2,12,3,6,7,11,10]=>[10,11,7,6,3,12,2,8,1,9,4,5]
[5,4,1,12,8,2,11,3,6,7,10,9]=>[9,10,7,6,3,11,2,8,12,1,4,5]
[1,12,11,5,2,10,4,3,6,7,9,8]=>[8,9,7,6,3,4,10,2,5,11,12,1]
[1,4,2,8,3,7,6,10,12,5,9,11]=>[11,9,5,12,10,6,7,3,8,2,4,1]
[4,8,1,2,7,12,6,3,11,5,9,10]=>[10,9,5,11,3,6,12,7,2,1,8,4]
[4,7,1,2,6,3,10,5,9,12,8,11]=>[11,8,12,9,5,10,3,6,2,1,7,4]
[4,7,1,2,6,9,3,12,5,8,11,10]=>[10,11,8,5,12,3,9,6,2,1,7,4]
[7,12,4,1,2,6,3,11,5,8,10,9]=>[9,10,8,5,11,3,6,2,1,4,12,7]
[4,1,6,2,10,3,5,9,8,12,7,11]=>[11,7,12,8,9,5,3,10,2,6,1,4]
[1,4,6,9,2,8,3,5,12,7,11,10]=>[10,11,7,12,5,3,8,2,9,6,4,1]
[4,6,1,8,2,12,3,5,7,11,10,9]=>[9,10,11,7,5,3,12,2,8,1,6,4]
[1,12,11,4,2,6,3,5,7,10,9,8]=>[8,9,10,7,5,3,6,2,4,11,12,1]
[1,2,10,9,4,3,5,8,7,12,6,11]=>[11,6,12,7,8,5,3,4,9,10,2,1]
[1,4,9,8,2,7,3,5,12,6,11,10]=>[10,11,6,12,5,3,7,2,8,9,4,1]
[1,8,7,4,2,12,3,5,6,11,10,9]=>[9,10,11,6,5,3,12,2,4,7,8,1]
[1,4,2,12,7,3,11,5,6,10,9,8]=>[8,9,10,6,5,11,3,7,12,2,4,1]
[1,2,4,3,12,11,10,5,6,9,8,7]=>[7,8,9,6,5,10,11,12,3,4,2,1]
[1,2,3,8,7,6,5,10,12,4,9,11]=>[11,9,4,12,10,5,6,7,8,3,2,1]
[8,1,2,7,6,12,5,3,11,4,9,10]=>[10,9,4,11,3,5,12,6,7,2,1,8]
[7,1,2,6,5,3,10,4,9,12,8,11]=>[11,8,12,9,4,10,3,5,6,2,1,7]
[7,1,2,6,5,9,3,12,4,8,11,10]=>[10,11,8,4,12,3,9,5,6,2,1,7]
[7,6,1,2,12,5,3,11,4,8,10,9]=>[9,10,8,4,11,3,5,12,2,1,6,7]
[1,6,2,5,3,10,4,9,8,12,7,11]=>[11,7,12,8,9,4,10,3,5,2,6,1]
[6,1,2,5,9,3,8,4,12,7,11,10]=>[10,11,7,12,4,8,3,9,5,2,1,6]
[6,5,1,2,8,3,12,4,7,11,10,9]=>[9,10,11,7,4,12,3,8,2,1,5,6]
[1,6,2,12,5,3,11,4,7,10,9,8]=>[8,9,10,7,4,11,3,5,12,2,6,1]
[1,2,5,3,10,4,9,8,7,12,6,11]=>[11,6,12,7,8,9,4,10,3,5,2,1]
[1,5,9,2,3,8,7,4,12,6,11,10]=>[10,11,6,12,4,7,8,3,2,9,5,1]
[5,1,8,2,3,7,4,12,6,11,10,9]=>[9,10,11,6,12,4,7,3,2,8,1,5]
[1,5,2,7,3,12,4,6,11,10,9,8]=>[8,9,10,11,6,4,12,3,7,2,5,1]
[1,2,3,12,11,5,4,6,10,9,8,7]=>[7,8,9,10,6,4,5,11,12,3,2,1]
[1,2,3,4,10,9,8,7,6,12,5,11]=>[11,5,12,6,7,8,9,10,4,3,2,1]
[9,1,2,3,8,7,6,4,12,5,11,10]=>[10,11,5,12,4,6,7,8,3,2,1,9]
[1,8,2,3,7,6,4,12,5,11,10,9]=>[9,10,11,5,12,4,6,7,3,2,8,1]
[1,2,7,3,6,4,12,5,11,10,9,8]=>[8,9,10,11,5,12,4,6,3,7,2,1]
[1,2,3,6,4,12,5,11,10,9,8,7]=>[7,8,9,10,11,5,12,4,6,3,2,1]
[12,1,10,3,8,5,7,6,9,4,11,2]=>[2,11,4,9,6,7,5,8,3,10,1,12]
[2,6,1,3,8,5,10,7,12,9,11,4]=>[4,11,9,12,7,10,5,8,3,1,6,2]
[6,1,4,8,3,5,10,7,12,9,11,2]=>[2,11,9,12,7,10,5,3,8,4,1,6]
[5,4,1,8,2,3,10,7,12,9,11,6]=>[6,11,9,12,7,10,3,2,8,1,4,5]
[2,3,8,1,4,5,10,7,12,9,11,6]=>[6,11,9,12,7,10,5,4,1,8,3,2]
[4,1,8,3,6,10,5,7,12,9,11,2]=>[2,11,9,12,7,5,10,6,3,8,1,4]
[2,8,1,3,6,10,5,7,12,9,11,4]=>[4,11,9,12,7,5,10,6,3,1,8,2]
[8,1,7,6,3,10,4,5,12,9,11,2]=>[2,11,9,12,5,4,10,3,6,7,1,8]
[5,7,1,6,2,10,4,3,12,9,11,8]=>[8,11,9,12,3,4,10,2,6,1,7,5]
[2,7,6,1,4,10,3,5,12,9,11,8]=>[8,11,9,12,5,3,10,4,1,6,7,2]
[8,1,4,5,10,3,6,7,12,9,11,2]=>[2,11,9,12,7,6,3,10,5,4,1,8]
[7,4,1,5,10,2,6,3,12,9,11,8]=>[8,11,9,12,3,6,2,10,5,1,4,7]
[6,3,5,1,10,2,4,7,12,9,11,8]=>[8,11,9,12,7,4,2,10,1,5,3,6]
[2,3,4,10,1,5,6,7,12,9,11,8]=>[8,11,9,12,7,6,5,1,10,4,3,2]
[4,1,6,3,10,5,8,12,7,9,11,2]=>[2,11,9,7,12,8,5,10,3,6,1,4]
[2,6,1,3,10,5,8,12,7,9,11,4]=>[4,11,9,7,12,8,5,10,3,1,6,2]
[6,1,4,10,3,5,8,12,7,9,11,2]=>[2,11,9,7,12,8,5,3,10,4,1,6]
[5,4,1,10,2,3,8,12,7,9,11,6]=>[6,11,9,7,12,8,3,2,10,1,4,5]
[2,3,10,1,4,5,8,12,7,9,11,6]=>[6,11,9,7,12,8,5,4,1,10,3,2]
[4,1,10,3,9,8,5,12,6,7,11,2]=>[2,11,7,6,12,5,8,9,3,10,1,4]
[2,10,1,3,9,8,5,12,6,7,11,4]=>[4,11,7,6,12,5,8,9,3,1,10,2]
[10,1,7,9,3,8,4,12,6,5,11,2]=>[2,11,5,6,12,4,8,3,9,7,1,10]
[5,7,1,9,2,8,4,12,6,3,11,10]=>[10,11,3,6,12,4,8,2,9,1,7,5]
[2,7,9,1,4,8,3,12,6,5,11,10]=>[10,11,5,6,12,3,8,4,1,9,7,2]
[10,1,4,9,8,3,6,12,5,7,11,2]=>[2,11,7,5,12,6,3,8,9,4,1,10]
[7,4,1,9,8,2,6,12,5,3,11,10]=>[10,11,3,5,12,6,2,8,9,1,4,7]
[6,3,9,1,8,2,4,12,5,7,11,10]=>[10,11,7,5,12,4,2,8,1,9,3,6]
[2,3,9,8,1,5,6,12,4,7,11,10]=>[10,11,7,4,12,6,5,1,8,9,3,2]
[4,1,10,3,6,7,12,5,8,9,11,2]=>[2,11,9,8,5,12,7,6,3,10,1,4]
[2,10,1,3,6,7,12,5,8,9,11,4]=>[4,11,9,8,5,12,7,6,3,1,10,2]
[10,1,9,6,3,7,12,4,8,5,11,2]=>[2,11,5,8,4,12,7,3,6,9,1,10]
[5,9,1,6,2,7,12,4,8,3,11,10]=>[10,11,3,8,4,12,7,2,6,1,9,5]
[2,9,6,1,4,7,12,3,8,5,11,10]=>[10,11,5,8,3,12,7,4,1,6,9,2]
[10,1,8,5,7,3,12,4,6,9,11,2]=>[2,11,9,6,4,12,3,7,5,8,1,10]
[9,8,1,5,7,2,12,4,6,3,11,10]=>[10,11,3,6,4,12,2,7,5,1,8,9]
[6,8,5,1,7,2,12,3,4,9,11,10]=>[10,11,9,4,3,12,2,7,1,5,8,6]
[2,8,4,7,1,5,12,3,6,9,11,10]=>[10,11,9,6,3,12,5,1,7,4,8,2]
[10,1,4,5,6,12,3,7,8,9,11,2]=>[2,11,9,8,7,3,12,6,5,4,1,10]
[9,4,1,5,6,12,2,7,8,3,11,10]=>[10,11,3,8,7,2,12,6,5,1,4,9]
[8,3,5,1,6,12,2,7,4,9,11,10]=>[10,11,9,4,7,2,12,6,1,5,3,8]
[7,3,4,6,1,12,2,5,8,9,11,10]=>[10,11,9,8,5,2,12,1,6,4,3,7]
[2,3,4,5,12,1,6,7,8,9,11,10]=>[10,11,9,8,7,6,1,12,5,4,3,2]
[4,1,6,3,8,5,12,7,10,9,11,2]=>[2,11,9,10,7,12,5,8,3,6,1,4]
[2,6,1,3,8,5,12,7,10,9,11,4]=>[4,11,9,10,7,12,5,8,3,1,6,2]
[6,1,4,8,3,5,12,7,10,9,11,2]=>[2,11,9,10,7,12,5,3,8,4,1,6]
[5,4,1,8,2,3,12,7,10,9,11,6]=>[6,11,9,10,7,12,3,2,8,1,4,5]
[2,3,8,1,4,5,12,7,10,9,11,6]=>[6,11,9,10,7,12,5,4,1,8,3,2]
[4,1,8,3,6,12,5,7,10,9,11,2]=>[2,11,9,10,7,5,12,6,3,8,1,4]
[2,8,1,3,6,12,5,7,10,9,11,4]=>[4,11,9,10,7,5,12,6,3,1,8,2]
[8,1,7,6,3,12,4,5,10,9,11,2]=>[2,11,9,10,5,4,12,3,6,7,1,8]
[5,7,1,6,2,12,4,3,10,9,11,8]=>[8,11,9,10,3,4,12,2,6,1,7,5]
[2,7,6,1,4,12,3,5,10,9,11,8]=>[8,11,9,10,5,3,12,4,1,6,7,2]
[8,1,4,5,12,3,6,7,10,9,11,2]=>[2,11,9,10,7,6,3,12,5,4,1,8]
[7,4,1,5,12,2,6,3,10,9,11,8]=>[8,11,9,10,3,6,2,12,5,1,4,7]
[6,3,5,1,12,2,4,7,10,9,11,8]=>[8,11,9,10,7,4,2,12,1,5,3,6]
[2,3,4,12,1,5,6,7,10,9,11,8]=>[8,11,9,10,7,6,5,1,12,4,3,2]
[4,1,6,3,12,5,11,10,7,8,9,2]=>[2,9,8,7,10,11,5,12,3,6,1,4]
[2,6,1,3,12,5,11,10,7,8,9,4]=>[4,9,8,7,10,11,5,12,3,1,6,2]
[6,1,4,12,3,5,11,10,7,8,9,2]=>[2,9,8,7,10,11,5,3,12,4,1,6]
[5,4,1,12,2,3,11,10,7,8,9,6]=>[6,9,8,7,10,11,3,2,12,1,4,5]
[2,3,12,1,4,5,11,10,7,8,9,6]=>[6,9,8,7,10,11,5,4,1,12,3,2]
[4,1,12,3,9,11,5,10,6,8,7,2]=>[2,7,8,6,10,5,11,9,3,12,1,4]
[2,12,1,3,9,11,5,10,6,8,7,4]=>[4,7,8,6,10,5,11,9,3,1,12,2]
[12,1,7,9,3,11,4,10,6,8,5,2]=>[2,5,8,6,10,4,11,3,9,7,1,12]
[5,7,1,9,2,11,4,10,6,8,3,12]=>[12,3,8,6,10,4,11,2,9,1,7,5]
[2,7,9,1,4,11,3,10,6,8,5,12]=>[12,5,8,6,10,3,11,4,1,9,7,2]
[12,1,4,9,11,3,6,10,5,8,7,2]=>[2,7,8,5,10,6,3,11,9,4,1,12]
[7,4,1,9,11,2,6,10,5,8,3,12]=>[12,3,8,5,10,6,2,11,9,1,4,7]
[6,3,9,1,11,2,4,10,5,8,7,12]=>[12,7,8,5,10,4,2,11,1,9,3,6]
[2,3,9,11,1,5,6,10,4,8,7,12]=>[12,7,8,4,10,6,5,1,11,9,3,2]
[4,1,12,3,6,11,10,5,8,7,9,2]=>[2,9,7,8,5,10,11,6,3,12,1,4]
[2,12,1,3,6,11,10,5,8,7,9,4]=>[4,9,7,8,5,10,11,6,3,1,12,2]
[12,1,9,6,3,11,10,4,8,7,5,2]=>[2,5,7,8,4,10,11,3,6,9,1,12]
[5,9,1,6,2,11,10,4,8,7,3,12]=>[12,3,7,8,4,10,11,2,6,1,9,5]
[2,9,6,1,4,11,10,3,8,7,5,12]=>[12,5,7,8,3,10,11,4,1,6,9,2]
[12,1,8,5,11,3,10,4,6,7,9,2]=>[2,9,7,6,4,10,3,11,5,8,1,12]
[9,8,1,5,11,2,10,4,6,7,3,12]=>[12,3,7,6,4,10,2,11,5,1,8,9]
[6,8,5,1,11,2,10,3,4,7,9,12]=>[12,9,7,4,3,10,2,11,1,5,8,6]
[2,8,4,11,1,5,10,3,6,7,9,12]=>[12,9,7,6,3,10,5,1,11,4,8,2]
[12,1,4,5,11,10,3,7,8,6,9,2]=>[2,9,6,8,7,3,10,11,5,4,1,12]
[9,4,1,5,11,10,2,7,8,6,3,12]=>[12,3,6,8,7,2,10,11,5,1,4,9]
[8,3,5,1,11,10,2,7,4,6,9,12]=>[12,9,6,4,7,2,10,11,1,5,3,8]
[7,3,4,11,1,10,2,5,8,6,9,12]=>[12,9,6,8,5,2,10,1,11,4,3,7]
[2,3,4,11,10,1,6,7,8,5,9,12]=>[12,9,5,8,7,6,1,10,11,4,3,2]
[4,1,6,3,12,5,8,9,7,10,11,2]=>[2,11,10,7,9,8,5,12,3,6,1,4]
[2,6,1,3,12,5,8,9,7,10,11,4]=>[4,11,10,7,9,8,5,12,3,1,6,2]
[6,1,4,12,3,5,8,9,7,10,11,2]=>[2,11,10,7,9,8,5,3,12,4,1,6]
[5,4,1,12,2,3,8,9,7,10,11,6]=>[6,11,10,7,9,8,3,2,12,1,4,5]
[2,3,12,1,4,5,8,9,7,10,11,6]=>[6,11,10,7,9,8,5,4,1,12,3,2]
[4,1,12,3,11,8,5,9,6,10,7,2]=>[2,7,10,6,9,5,8,11,3,12,1,4]
[2,12,1,3,11,8,5,9,6,10,7,4]=>[4,7,10,6,9,5,8,11,3,1,12,2]
[12,1,7,11,3,8,4,9,6,10,5,2]=>[2,5,10,6,9,4,8,3,11,7,1,12]
[5,7,1,11,2,8,4,9,6,10,3,12]=>[12,3,10,6,9,4,8,2,11,1,7,5]
[2,7,11,1,4,8,3,9,6,10,5,12]=>[12,5,10,6,9,3,8,4,1,11,7,2]
[12,1,4,11,8,3,6,9,5,10,7,2]=>[2,7,10,5,9,6,3,8,11,4,1,12]
[7,4,1,11,8,2,6,9,5,10,3,12]=>[12,3,10,5,9,6,2,8,11,1,4,7]
[6,3,11,1,8,2,4,9,5,10,7,12]=>[12,7,10,5,9,4,2,8,1,11,3,6]
[2,3,11,8,1,5,6,9,4,10,7,12]=>[12,7,10,4,9,6,5,1,8,11,3,2]
[4,1,12,3,10,7,9,5,6,8,11,2]=>[2,11,8,6,5,9,7,10,3,12,1,4]
[2,12,1,3,10,7,9,5,6,8,11,4]=>[4,11,8,6,5,9,7,10,3,1,12,2]
[12,1,11,10,3,7,9,4,6,8,5,2]=>[2,5,8,6,4,9,7,3,10,11,1,12]
[5,11,1,10,2,7,9,4,6,8,3,12]=>[12,3,8,6,4,9,7,2,10,1,11,5]
[2,11,10,1,4,7,9,3,6,8,5,12]=>[12,5,8,6,3,9,7,4,1,10,11,2]
[12,1,8,10,7,3,9,4,5,6,11,2]=>[2,11,6,5,4,9,3,7,10,8,1,12]
[11,8,1,10,7,2,9,4,5,6,3,12]=>[12,3,6,5,4,9,2,7,10,1,8,11]
[6,8,10,1,7,2,9,3,5,4,11,12]=>[12,11,4,5,3,9,2,7,1,10,8,6]
[2,8,10,7,1,5,9,3,4,6,11,12]=>[12,11,6,4,3,9,5,1,7,10,8,2]
[12,1,4,10,6,9,3,7,5,8,11,2]=>[2,11,8,5,7,3,9,6,10,4,1,12]
[11,4,1,10,6,9,2,7,5,8,3,12]=>[12,3,8,5,7,2,9,6,10,1,4,11]
[8,3,10,1,6,9,2,7,5,4,11,12]=>[12,11,4,5,7,2,9,6,1,10,3,8]
[7,3,10,6,1,9,2,5,4,8,11,12]=>[12,11,8,4,5,2,9,1,6,10,3,7]
[2,3,10,5,9,1,6,7,4,8,11,12]=>[12,11,8,4,7,6,1,9,5,10,3,2]
[4,1,12,3,6,7,8,5,9,10,11,2]=>[2,11,10,9,5,8,7,6,3,12,1,4]
[2,12,1,3,6,7,8,5,9,10,11,4]=>[4,11,10,9,5,8,7,6,3,1,12,2]
[12,1,11,6,3,7,8,4,9,10,5,2]=>[2,5,10,9,4,8,7,3,6,11,1,12]
[5,11,1,6,2,7,8,4,9,10,3,12]=>[12,3,10,9,4,8,7,2,6,1,11,5]
[2,11,6,1,4,7,8,3,9,10,5,12]=>[12,5,10,9,3,8,7,4,1,6,11,2]
[12,1,10,5,7,3,8,4,9,6,11,2]=>[2,11,6,9,4,8,3,7,5,10,1,12]
[11,10,1,5,7,2,8,4,9,6,3,12]=>[12,3,6,9,4,8,2,7,5,1,10,11]
[6,10,5,1,7,2,8,3,9,4,11,12]=>[12,11,4,9,3,8,2,7,1,5,10,6]
[2,10,4,7,1,5,8,3,9,6,11,12]=>[12,11,6,9,3,8,5,1,7,4,10,2]
[12,1,9,5,6,8,3,4,7,10,11,2]=>[2,11,10,7,4,3,8,6,5,9,1,12]
[11,9,1,5,6,8,2,4,7,10,3,12]=>[12,3,10,7,4,2,8,6,5,1,9,11]
[10,9,5,1,6,8,2,3,7,4,11,12]=>[12,11,4,7,3,2,8,6,1,5,9,10]
[7,9,4,6,1,8,2,3,5,10,11,12]=>[12,11,10,5,3,2,8,1,6,4,9,7]
[2,9,4,5,8,1,6,3,7,10,11,12]=>[12,11,10,7,3,6,1,8,5,4,9,2]
[12,1,4,5,6,7,3,8,9,10,11,2]=>[2,11,10,9,8,3,7,6,5,4,1,12]
[11,4,1,5,6,7,2,8,9,10,3,12]=>[12,3,10,9,8,2,7,6,5,1,4,11]
[10,3,5,1,6,7,2,8,9,4,11,12]=>[12,11,4,9,8,2,7,6,1,5,3,10]
[9,3,4,6,1,7,2,8,5,10,11,12]=>[12,11,10,5,8,2,7,1,6,4,3,9]
[8,3,4,5,7,1,2,6,9,10,11,12]=>[12,11,10,9,6,2,1,7,5,4,3,8]
[1,2,3,4,5,6,7,11,9,8,12,10]=>[10,12,8,9,11,7,6,5,4,3,2,1]
[1,2,3,4,5,7,6,11,9,8,12,10]=>[10,12,8,9,11,6,7,5,4,3,2,1]
[1,2,3,4,5,9,7,6,10,8,11,12]=>[12,11,8,10,6,7,9,5,4,3,2,1]
[1,2,3,4,5,11,7,6,12,9,8,10]=>[10,8,9,12,6,7,11,5,4,3,2,1]
[1,2,3,4,5,9,7,6,11,10,8,12]=>[12,8,10,11,6,7,9,5,4,3,2,1]
[1,2,3,4,5,9,11,7,6,10,12,8]=>[8,12,10,6,7,11,9,5,4,3,2,1]
[1,2,3,5,4,6,7,11,9,8,12,10]=>[10,12,8,9,11,7,6,4,5,3,2,1]
[1,2,3,5,4,7,6,11,9,8,12,10]=>[10,12,8,9,11,6,7,4,5,3,2,1]
[1,2,3,5,4,9,7,6,10,8,11,12]=>[12,11,8,10,6,7,9,4,5,3,2,1]
[1,2,3,5,4,11,7,6,12,9,8,10]=>[10,8,9,12,6,7,11,4,5,3,2,1]
[1,2,3,5,4,9,7,6,11,10,8,12]=>[12,8,10,11,6,7,9,4,5,3,2,1]
[1,2,3,5,4,9,11,7,6,10,12,8]=>[8,12,10,6,7,11,9,4,5,3,2,1]
[1,2,3,7,5,4,8,6,9,10,11,12]=>[12,11,10,9,6,8,4,5,7,3,2,1]
[1,2,3,7,5,4,8,6,9,11,10,12]=>[12,10,11,9,6,8,4,5,7,3,2,1]
[1,2,3,9,5,4,10,7,6,8,11,12]=>[12,11,8,6,7,10,4,5,9,3,2,1]
[1,2,3,11,5,4,12,7,6,9,8,10]=>[10,8,9,6,7,12,4,5,11,3,2,1]
[1,2,3,9,5,4,10,11,7,6,12,8]=>[8,12,6,7,11,10,4,5,9,3,2,1]
[1,2,3,7,5,4,9,8,6,10,11,12]=>[12,11,10,6,8,9,4,5,7,3,2,1]
[1,2,3,7,5,4,9,8,6,11,10,12]=>[12,10,11,6,8,9,4,5,7,3,2,1]
[1,2,3,9,5,4,11,10,7,6,12,8]=>[8,12,6,7,10,11,4,5,9,3,2,1]
[1,2,3,9,5,4,7,11,10,6,8,12]=>[12,8,6,10,11,7,4,5,9,3,2,1]
[1,2,3,7,9,5,4,8,10,6,11,12]=>[12,11,6,10,8,4,5,9,7,3,2,1]
[1,2,3,9,11,5,4,10,12,7,6,8]=>[8,6,7,12,10,4,5,11,9,3,2,1]
[1,2,3,7,9,5,4,8,11,10,6,12]=>[12,6,10,11,8,4,5,9,7,3,2,1]
[1,2,3,7,11,5,4,9,8,12,6,10]=>[10,6,12,8,9,4,5,11,7,3,2,1]
[1,2,3,7,11,9,5,4,8,12,10,6]=>[6,10,12,8,4,5,9,11,7,3,2,1]
[1,3,2,4,5,6,7,11,9,8,12,10]=>[10,12,8,9,11,7,6,5,4,2,3,1]
[1,3,2,4,5,7,6,11,9,8,12,10]=>[10,12,8,9,11,6,7,5,4,2,3,1]
[1,3,2,4,5,9,7,6,10,8,11,12]=>[12,11,8,10,6,7,9,5,4,2,3,1]
[1,3,2,4,5,11,7,6,12,9,8,10]=>[10,8,9,12,6,7,11,5,4,2,3,1]
[1,3,2,4,5,9,7,6,11,10,8,12]=>[12,8,10,11,6,7,9,5,4,2,3,1]
[1,3,2,4,5,9,11,7,6,10,12,8]=>[8,12,10,6,7,11,9,5,4,2,3,1]
[1,3,2,5,4,6,7,11,9,8,12,10]=>[10,12,8,9,11,7,6,4,5,2,3,1]
[1,3,2,5,4,7,6,11,9,8,12,10]=>[10,12,8,9,11,6,7,4,5,2,3,1]
[1,3,2,5,4,9,7,6,10,8,11,12]=>[12,11,8,10,6,7,9,4,5,2,3,1]
[1,3,2,5,4,11,7,6,12,9,8,10]=>[10,8,9,12,6,7,11,4,5,2,3,1]
[1,3,2,5,4,9,7,6,11,10,8,12]=>[12,8,10,11,6,7,9,4,5,2,3,1]
[1,3,2,5,4,9,11,7,6,10,12,8]=>[8,12,10,6,7,11,9,4,5,2,3,1]
[1,3,2,7,5,4,8,6,9,10,11,12]=>[12,11,10,9,6,8,4,5,7,2,3,1]
[1,3,2,7,5,4,8,6,9,11,10,12]=>[12,10,11,9,6,8,4,5,7,2,3,1]
[1,3,2,9,5,4,10,7,6,8,11,12]=>[12,11,8,6,7,10,4,5,9,2,3,1]
[1,3,2,11,5,4,12,7,6,9,8,10]=>[10,8,9,6,7,12,4,5,11,2,3,1]
[1,3,2,9,5,4,10,11,7,6,12,8]=>[8,12,6,7,11,10,4,5,9,2,3,1]
[1,3,2,7,5,4,9,8,6,10,11,12]=>[12,11,10,6,8,9,4,5,7,2,3,1]
[1,3,2,7,5,4,9,8,6,11,10,12]=>[12,10,11,6,8,9,4,5,7,2,3,1]
[1,3,2,9,5,4,11,10,7,6,12,8]=>[8,12,6,7,10,11,4,5,9,2,3,1]
[1,3,2,9,5,4,7,11,10,6,8,12]=>[12,8,6,10,11,7,4,5,9,2,3,1]
[1,3,2,7,9,5,4,8,10,6,11,12]=>[12,11,6,10,8,4,5,9,7,2,3,1]
[1,3,2,9,11,5,4,10,12,7,6,8]=>[8,6,7,12,10,4,5,11,9,2,3,1]
[1,3,2,7,9,5,4,8,11,10,6,12]=>[12,6,10,11,8,4,5,9,7,2,3,1]
[1,3,2,7,11,5,4,9,8,12,6,10]=>[10,6,12,8,9,4,5,11,7,2,3,1]
[1,3,2,7,11,9,5,4,8,12,10,6]=>[6,10,12,8,4,5,9,11,7,2,3,1]
[1,5,3,2,6,4,7,8,9,10,11,12]=>[12,11,10,9,8,7,4,6,2,3,5,1]
[1,5,3,2,6,4,7,8,9,11,10,12]=>[12,10,11,9,8,7,4,6,2,3,5,1]
[1,5,3,2,6,4,7,9,8,10,11,12]=>[12,11,10,8,9,7,4,6,2,3,5,1]
[1,5,3,2,6,4,7,9,8,11,10,12]=>[12,10,11,8,9,7,4,6,2,3,5,1]
[1,5,3,2,6,4,7,11,9,8,12,10]=>[10,12,8,9,11,7,4,6,2,3,5,1]
[1,7,3,2,8,5,4,6,9,10,11,12]=>[12,11,10,9,6,4,5,8,2,3,7,1]
[1,7,3,2,8,5,4,6,9,11,10,12]=>[12,10,11,9,6,4,5,8,2,3,7,1]
[1,9,3,2,10,5,4,7,6,8,11,12]=>[12,11,8,6,7,4,5,10,2,3,9,1]
[1,11,3,2,12,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,12,2,3,11,1]
[1,9,3,2,10,5,4,11,7,6,12,8]=>[8,12,6,7,11,4,5,10,2,3,9,1]
[1,7,3,2,8,9,5,4,10,6,11,12]=>[12,11,6,10,4,5,9,8,2,3,7,1]
[1,9,3,2,10,11,5,4,12,7,6,8]=>[8,6,7,12,4,5,11,10,2,3,9,1]
[1,11,3,2,12,7,5,4,9,8,6,10]=>[10,6,8,9,4,5,7,12,2,3,11,1]
[1,7,3,2,8,9,11,5,4,10,12,6]=>[6,12,10,4,5,11,9,8,2,3,7,1]
[1,5,3,2,7,6,4,8,9,10,11,12]=>[12,11,10,9,8,4,6,7,2,3,5,1]
[1,5,3,2,7,6,4,8,9,11,10,12]=>[12,10,11,9,8,4,6,7,2,3,5,1]
[1,5,3,2,7,6,4,9,8,10,11,12]=>[12,11,10,8,9,4,6,7,2,3,5,1]
[1,5,3,2,7,6,4,9,8,11,10,12]=>[12,10,11,8,9,4,6,7,2,3,5,1]
[1,5,3,2,7,6,4,11,9,8,12,10]=>[10,12,8,9,11,4,6,7,2,3,5,1]
[1,7,3,2,9,8,5,4,10,6,11,12]=>[12,11,6,10,4,5,8,9,2,3,7,1]
[1,9,3,2,11,10,5,4,12,7,6,8]=>[8,6,7,12,4,5,10,11,2,3,9,1]
[1,7,3,2,9,8,5,4,11,10,6,12]=>[12,6,10,11,4,5,8,9,2,3,7,1]
[1,7,3,2,9,8,11,5,4,10,12,6]=>[6,12,10,4,5,11,8,9,2,3,7,1]
[1,7,3,2,5,9,8,4,6,10,11,12]=>[12,11,10,6,4,8,9,5,2,3,7,1]
[1,7,3,2,5,9,8,4,6,11,10,12]=>[12,10,11,6,4,8,9,5,2,3,7,1]
[1,9,3,2,5,11,10,4,7,6,12,8]=>[8,12,6,7,4,10,11,5,2,3,9,1]
[1,7,3,2,11,9,8,5,4,12,10,6]=>[6,10,12,4,5,8,9,11,2,3,7,1]
[1,7,3,2,11,5,9,8,4,12,6,10]=>[10,6,12,4,8,9,5,11,2,3,7,1]
[1,5,7,3,2,6,8,4,9,10,11,12]=>[12,11,10,9,4,8,6,2,3,7,5,1]
[1,5,7,3,2,6,8,4,9,11,10,12]=>[12,10,11,9,4,8,6,2,3,7,5,1]
[1,7,9,3,2,8,10,5,4,6,11,12]=>[12,11,6,4,5,10,8,2,3,9,7,1]
[1,9,11,3,2,10,12,5,4,7,6,8]=>[8,6,7,4,5,12,10,2,3,11,9,1]
[1,7,9,3,2,8,10,11,5,4,12,6]=>[6,12,4,5,11,10,8,2,3,9,7,1]
[1,5,7,3,2,6,9,8,4,10,11,12]=>[12,11,10,4,8,9,6,2,3,7,5,1]
[1,5,7,3,2,6,9,8,4,11,10,12]=>[12,10,11,4,8,9,6,2,3,7,5,1]
[1,7,9,3,2,8,11,10,5,4,12,6]=>[6,12,4,5,10,11,8,2,3,9,7,1]
[1,7,9,3,2,8,5,11,10,4,6,12]=>[12,6,4,10,11,5,8,2,3,9,7,1]
[1,5,9,3,2,7,6,10,4,8,11,12]=>[12,11,8,4,10,6,7,2,3,9,5,1]
[1,5,11,3,2,7,6,12,4,9,8,10]=>[10,8,9,4,12,6,7,2,3,11,5,1]
[1,7,11,3,2,9,8,12,5,4,10,6]=>[6,10,4,5,12,8,9,2,3,11,7,1]
[1,9,5,3,2,11,10,7,6,4,12,8]=>[8,12,4,6,7,10,11,2,3,5,9,1]
[1,9,5,3,2,7,11,10,6,4,8,12]=>[12,8,4,6,10,11,7,2,3,5,9,1]
[1,5,9,7,3,2,6,10,8,4,11,12]=>[12,11,4,8,10,6,2,3,7,9,5,1]
[1,7,11,9,3,2,8,12,10,5,4,6]=>[6,4,5,10,12,8,2,3,9,11,7,1]
[1,5,11,7,3,2,6,12,9,8,4,10]=>[10,4,8,9,12,6,2,3,7,11,5,1]
[1,5,9,7,3,2,6,11,10,8,4,12]=>[12,4,8,10,11,6,2,3,7,9,5,1]
[1,5,9,11,3,2,7,6,10,12,4,8]=>[8,4,12,10,6,7,2,3,11,9,5,1]
[1,5,9,11,7,3,2,6,10,12,8,4]=>[4,8,12,10,6,2,3,7,11,9,5,1]
[12,11,9,8,5,6,7,4,3,10,2,1]=>[1,2,10,3,4,7,6,5,8,9,11,12]
[12,11,10,9,5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5,9,10,11,12]
[12,11,9,8,5,7,6,4,3,10,2,1]=>[1,2,10,3,4,6,7,5,8,9,11,12]
[12,11,10,9,5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5,9,10,11,12]
[2,1,4,3,6,5,11,10,7,12,8,9]=>[9,8,12,7,10,11,5,6,3,4,1,2]
[2,1,4,3,6,5,8,9,12,7,10,11]=>[11,10,7,12,9,8,5,6,3,4,1,2]
[2,1,4,3,9,8,5,10,6,7,12,11]=>[11,12,7,6,10,5,8,9,3,4,1,2]
[2,1,4,3,9,11,5,10,6,12,8,7]=>[7,8,12,6,10,5,11,9,3,4,1,2]
[2,1,4,3,11,8,5,9,12,6,10,7]=>[7,10,6,12,9,5,8,11,3,4,1,2]
[2,1,4,3,6,7,10,5,8,9,12,11]=>[11,12,9,8,5,10,7,6,3,4,1,2]
[2,1,4,3,6,11,10,5,8,12,7,9]=>[9,7,12,8,5,10,11,6,3,4,1,2]
[2,1,4,3,10,7,9,5,12,6,8,11]=>[11,8,6,12,5,9,7,10,3,4,1,2]
[2,1,4,3,6,7,8,12,5,9,10,11]=>[11,10,9,5,12,8,7,6,3,4,1,2]
[2,1,4,6,3,5,11,10,7,12,8,9]=>[9,8,12,7,10,11,5,3,6,4,1,2]
[2,1,4,6,3,5,8,9,12,7,10,11]=>[11,10,7,12,9,8,5,3,6,4,1,2]
[2,1,7,6,3,8,4,5,10,9,12,11]=>[11,12,9,10,5,4,8,3,6,7,1,2]
[2,1,7,6,3,8,4,5,10,12,9,11]=>[11,9,12,10,5,4,8,3,6,7,1,2]
[2,1,7,9,3,8,4,10,6,5,12,11]=>[11,12,5,6,10,4,8,3,9,7,1,2]
[2,1,7,9,3,11,4,10,6,12,8,5]=>[5,8,12,6,10,4,11,3,9,7,1,2]
[2,1,7,11,3,8,4,9,12,6,10,5]=>[5,10,6,12,9,4,8,3,11,7,1,2]
[2,1,9,6,3,7,10,4,8,5,12,11]=>[11,12,5,8,4,10,7,3,6,9,1,2]
[2,1,9,6,3,11,10,4,8,12,7,5]=>[5,7,12,8,4,10,11,3,6,9,1,2]
[2,1,11,10,3,7,9,4,12,6,8,5]=>[5,8,6,12,4,9,7,3,10,11,1,2]
[2,1,11,6,3,7,8,12,4,9,10,5]=>[5,10,9,4,12,8,7,3,6,11,1,2]
[2,1,4,5,8,3,6,7,10,9,12,11]=>[11,12,9,10,7,6,3,8,5,4,1,2]
[2,1,4,5,8,3,6,7,10,12,9,11]=>[11,9,12,10,7,6,3,8,5,4,1,2]
[2,1,4,9,8,3,6,10,5,7,12,11]=>[11,12,7,5,10,6,3,8,9,4,1,2]
[2,1,4,9,11,3,6,10,5,12,8,7]=>[7,8,12,5,10,6,3,11,9,4,1,2]
[2,1,4,11,8,3,6,9,12,5,10,7]=>[7,10,5,12,9,6,3,8,11,4,1,2]
[2,1,8,5,7,3,10,4,6,9,12,11]=>[11,12,9,6,4,10,3,7,5,8,1,2]
[2,1,8,5,11,3,10,4,6,12,7,9]=>[9,7,12,6,4,10,3,11,5,8,1,2]
[2,1,8,10,7,3,9,4,12,5,6,11]=>[11,6,5,12,4,9,3,7,10,8,1,2]
[2,1,10,5,7,3,8,12,4,9,6,11]=>[11,6,9,4,12,8,3,7,5,10,1,2]
[2,1,4,5,6,10,3,7,8,9,12,11]=>[11,12,9,8,7,3,10,6,5,4,1,2]
[2,1,4,5,11,10,3,7,8,12,6,9]=>[9,6,12,8,7,3,10,11,5,4,1,2]
[2,1,4,10,6,9,3,7,12,5,8,11]=>[11,8,5,12,7,3,9,6,10,4,1,2]
[2,1,9,5,6,8,3,12,4,7,10,11]=>[11,10,7,4,12,3,8,6,5,9,1,2]
[2,1,4,5,6,7,12,3,8,9,10,11]=>[11,10,9,8,3,12,7,6,5,4,1,2]
[2,4,1,3,6,5,11,10,7,12,8,9]=>[9,8,12,7,10,11,5,6,3,1,4,2]
[2,4,1,3,6,5,8,9,12,7,10,11]=>[11,10,7,12,9,8,5,6,3,1,4,2]
[2,4,1,3,9,8,5,10,6,7,12,11]=>[11,12,7,6,10,5,8,9,3,1,4,2]
[2,4,1,3,9,11,5,10,6,12,8,7]=>[7,8,12,6,10,5,11,9,3,1,4,2]
[2,4,1,3,11,8,5,9,12,6,10,7]=>[7,10,6,12,9,5,8,11,3,1,4,2]
[2,4,1,3,6,7,10,5,8,9,12,11]=>[11,12,9,8,5,10,7,6,3,1,4,2]
[2,4,1,3,6,11,10,5,8,12,7,9]=>[9,7,12,8,5,10,11,6,3,1,4,2]
[2,4,1,3,10,7,9,5,12,6,8,11]=>[11,8,6,12,5,9,7,10,3,1,4,2]
[2,4,1,3,6,7,8,12,5,9,10,11]=>[11,10,9,5,12,8,7,6,3,1,4,2]
[5,4,1,6,2,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,2,6,1,4,5]
[5,4,1,6,2,3,8,7,10,12,9,11]=>[11,9,12,10,7,8,3,2,6,1,4,5]
[5,4,1,6,2,3,8,10,7,9,12,11]=>[11,12,9,7,10,8,3,2,6,1,4,5]
[5,4,1,6,2,3,11,10,7,12,8,9]=>[9,8,12,7,10,11,3,2,6,1,4,5]
[5,4,1,6,2,3,8,9,12,7,10,11]=>[11,10,7,12,9,8,3,2,6,1,4,5]
[5,7,1,6,2,8,4,3,10,9,12,11]=>[11,12,9,10,3,4,8,2,6,1,7,5]
[5,7,1,6,2,8,4,3,10,12,9,11]=>[11,9,12,10,3,4,8,2,6,1,7,5]
[5,7,1,9,2,8,4,10,6,3,12,11]=>[11,12,3,6,10,4,8,2,9,1,7,5]
[5,7,1,9,2,11,4,10,6,12,8,3]=>[3,8,12,6,10,4,11,2,9,1,7,5]
[5,7,1,11,2,8,4,9,12,6,10,3]=>[3,10,6,12,9,4,8,2,11,1,7,5]
[5,9,1,6,2,7,10,4,8,3,12,11]=>[11,12,3,8,4,10,7,2,6,1,9,5]
[5,9,1,6,2,11,10,4,8,12,7,3]=>[3,7,12,8,4,10,11,2,6,1,9,5]
[5,11,1,10,2,7,9,4,12,6,8,3]=>[3,8,6,12,4,9,7,2,10,1,11,5]
[5,11,1,6,2,7,8,12,4,9,10,3]=>[3,10,9,4,12,8,7,2,6,1,11,5]
[7,4,1,5,8,2,6,3,10,9,12,11]=>[11,12,9,10,3,6,2,8,5,1,4,7]
[7,4,1,5,8,2,6,3,10,12,9,11]=>[11,9,12,10,3,6,2,8,5,1,4,7]
[7,4,1,9,8,2,6,10,5,3,12,11]=>[11,12,3,5,10,6,2,8,9,1,4,7]
[7,4,1,9,11,2,6,10,5,12,8,3]=>[3,8,12,5,10,6,2,11,9,1,4,7]
[7,4,1,11,8,2,6,9,12,5,10,3]=>[3,10,5,12,9,6,2,8,11,1,4,7]
[9,8,1,5,7,2,10,4,6,3,12,11]=>[11,12,3,6,4,10,2,7,5,1,8,9]
[9,8,1,5,11,2,10,4,6,12,7,3]=>[3,7,12,6,4,10,2,11,5,1,8,9]
[11,8,1,10,7,2,9,4,12,5,6,3]=>[3,6,5,12,4,9,2,7,10,1,8,11]
[11,10,1,5,7,2,8,12,4,9,6,3]=>[3,6,9,4,12,8,2,7,5,1,10,11]
[9,4,1,5,6,10,2,7,8,3,12,11]=>[11,12,3,8,7,2,10,6,5,1,4,9]
[9,4,1,5,11,10,2,7,8,12,6,3]=>[3,6,12,8,7,2,10,11,5,1,4,9]
[11,4,1,10,6,9,2,7,12,5,8,3]=>[3,8,5,12,7,2,9,6,10,1,4,11]
[11,9,1,5,6,8,2,12,4,7,10,3]=>[3,10,7,4,12,2,8,6,5,1,9,11]
[11,4,1,5,6,7,12,2,8,9,10,3]=>[3,10,9,8,2,12,7,6,5,1,4,11]
[2,3,6,1,4,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,4,1,6,3,2]
[2,3,6,1,4,5,8,7,10,12,9,11]=>[11,9,12,10,7,8,5,4,1,6,3,2]
[2,3,6,1,4,5,8,10,7,9,12,11]=>[11,12,9,7,10,8,5,4,1,6,3,2]
[2,3,6,1,4,5,11,10,7,12,8,9]=>[9,8,12,7,10,11,5,4,1,6,3,2]
[2,3,6,1,4,5,8,9,12,7,10,11]=>[11,10,7,12,9,8,5,4,1,6,3,2]
[2,7,6,1,4,8,3,5,10,9,12,11]=>[11,12,9,10,5,3,8,4,1,6,7,2]
[2,7,6,1,4,8,3,5,10,12,9,11]=>[11,9,12,10,5,3,8,4,1,6,7,2]
[2,7,9,1,4,8,3,10,6,5,12,11]=>[11,12,5,6,10,3,8,4,1,9,7,2]
[2,7,9,1,4,11,3,10,6,12,8,5]=>[5,8,12,6,10,3,11,4,1,9,7,2]
[2,7,11,1,4,8,3,9,12,6,10,5]=>[5,10,6,12,9,3,8,4,1,11,7,2]
[2,9,6,1,4,7,10,3,8,5,12,11]=>[11,12,5,8,3,10,7,4,1,6,9,2]
[2,9,6,1,4,11,10,3,8,12,7,5]=>[5,7,12,8,3,10,11,4,1,6,9,2]
[2,11,10,1,4,7,9,3,12,6,8,5]=>[5,8,6,12,3,9,7,4,1,10,11,2]
[2,11,6,1,4,7,8,12,3,9,10,5]=>[5,10,9,3,12,8,7,4,1,6,11,2]
[6,3,5,1,8,2,4,7,10,9,12,11]=>[11,12,9,10,7,4,2,8,1,5,3,6]
[6,3,5,1,8,2,4,7,10,12,9,11]=>[11,9,12,10,7,4,2,8,1,5,3,6]
[6,3,9,1,8,2,4,10,5,7,12,11]=>[11,12,7,5,10,4,2,8,1,9,3,6]
[6,3,9,1,11,2,4,10,5,12,8,7]=>[7,8,12,5,10,4,2,11,1,9,3,6]
[6,3,11,1,8,2,4,9,12,5,10,7]=>[7,10,5,12,9,4,2,8,1,11,3,6]
[6,8,5,1,7,2,10,3,4,9,12,11]=>[11,12,9,4,3,10,2,7,1,5,8,6]
[6,8,5,1,11,2,10,3,4,12,7,9]=>[9,7,12,4,3,10,2,11,1,5,8,6]
[6,8,10,1,7,2,9,3,12,5,4,11]=>[11,4,5,12,3,9,2,7,1,10,8,6]
[6,10,5,1,7,2,8,12,3,9,4,11]=>[11,4,9,3,12,8,2,7,1,5,10,6]
[8,3,5,1,6,10,2,7,4,9,12,11]=>[11,12,9,4,7,2,10,6,1,5,3,8]
[8,3,5,1,11,10,2,7,4,12,6,9]=>[9,6,12,4,7,2,10,11,1,5,3,8]
[8,3,10,1,6,9,2,7,12,5,4,11]=>[11,4,5,12,7,2,9,6,1,10,3,8]
[10,9,5,1,6,8,2,12,3,7,4,11]=>[11,4,7,3,12,2,8,6,1,5,9,10]
[10,3,5,1,6,7,12,2,8,9,4,11]=>[11,4,9,8,2,12,7,6,1,5,3,10]
[2,3,4,8,1,5,6,7,10,9,12,11]=>[11,12,9,10,7,6,5,1,8,4,3,2]
[2,3,4,8,1,5,6,7,10,12,9,11]=>[11,9,12,10,7,6,5,1,8,4,3,2]
[2,3,9,8,1,5,6,10,4,7,12,11]=>[11,12,7,4,10,6,5,1,8,9,3,2]
[2,3,9,11,1,5,6,10,4,12,8,7]=>[7,8,12,4,10,6,5,1,11,9,3,2]
[2,3,11,8,1,5,6,9,12,4,10,7]=>[7,10,4,12,9,6,5,1,8,11,3,2]
[2,8,4,7,1,5,10,3,6,9,12,11]=>[11,12,9,6,3,10,5,1,7,4,8,2]
[2,8,4,11,1,5,10,3,6,12,7,9]=>[9,7,12,6,3,10,5,1,11,4,8,2]
[2,8,10,7,1,5,9,3,12,4,6,11]=>[11,6,4,12,3,9,5,1,7,10,8,2]
[2,10,4,7,1,5,8,12,3,9,6,11]=>[11,6,9,3,12,8,5,1,7,4,10,2]
[7,3,4,6,1,10,2,5,8,9,12,11]=>[11,12,9,8,5,2,10,1,6,4,3,7]
[7,3,4,11,1,10,2,5,8,12,6,9]=>[9,6,12,8,5,2,10,1,11,4,3,7]
[7,3,10,6,1,9,2,5,12,4,8,11]=>[11,8,4,12,5,2,9,1,6,10,3,7]
[7,9,4,6,1,8,2,12,3,5,10,11]=>[11,10,5,3,12,2,8,1,6,4,9,7]
[9,3,4,6,1,7,12,2,8,5,10,11]=>[11,10,5,8,2,12,7,1,6,4,3,9]
[2,3,4,5,10,1,6,7,8,9,12,11]=>[11,12,9,8,7,6,1,10,5,4,3,2]
[2,3,4,11,10,1,6,7,8,12,5,9]=>[9,5,12,8,7,6,1,10,11,4,3,2]
[2,3,10,5,9,1,6,7,12,4,8,11]=>[11,8,4,12,7,6,1,9,5,10,3,2]
[2,9,4,5,8,1,6,12,3,7,10,11]=>[11,10,7,3,12,6,1,8,5,4,9,2]
[8,3,4,5,7,1,12,2,6,9,10,11]=>[11,10,9,6,2,12,1,7,5,4,3,8]
[2,3,4,5,6,12,1,7,8,9,10,11]=>[11,10,9,8,7,1,12,6,5,4,3,2]
[4,1,6,3,8,5,11,7,12,10,9,2]=>[2,9,10,12,7,11,5,8,3,6,1,4]
[4,1,6,3,9,5,10,12,7,8,11,2]=>[2,11,8,7,12,10,5,9,3,6,1,4]
[4,1,6,3,9,5,11,12,7,10,8,2]=>[2,8,10,7,12,11,5,9,3,6,1,4]
[4,1,6,3,10,5,11,12,9,7,8,2]=>[2,8,7,9,12,11,5,10,3,6,1,4]
[4,1,7,3,8,10,5,6,12,9,11,2]=>[2,11,9,12,6,5,10,8,3,7,1,4]
[4,1,7,3,8,11,5,6,12,10,9,2]=>[2,9,10,12,6,5,11,8,3,7,1,4]
[4,1,7,3,9,10,5,12,6,8,11,2]=>[2,11,8,6,12,5,10,9,3,7,1,4]
[4,1,7,3,9,11,5,12,6,10,8,2]=>[2,8,10,6,12,5,11,9,3,7,1,4]
[4,1,7,3,10,11,5,12,9,6,8,2]=>[2,8,6,9,12,5,11,10,3,7,1,4]
[4,1,8,3,9,10,12,5,6,7,11,2]=>[2,11,7,6,5,12,10,9,3,8,1,4]
[4,1,8,3,9,11,12,5,6,10,7,2]=>[2,7,10,6,5,12,11,9,3,8,1,4]
[4,1,8,3,10,11,12,5,9,6,7,2]=>[2,7,6,9,5,12,11,10,3,8,1,4]
[4,1,9,3,10,11,12,8,5,6,7,2]=>[2,7,6,5,8,12,11,10,3,9,1,4]
[5,1,6,8,3,4,10,7,12,9,11,2]=>[2,11,9,12,7,10,4,3,8,6,1,5]
[5,1,6,8,3,4,11,7,12,10,9,2]=>[2,9,10,12,7,11,4,3,8,6,1,5]
[5,1,6,9,3,4,10,12,7,8,11,2]=>[2,11,8,7,12,10,4,3,9,6,1,5]
[5,1,6,9,3,4,11,12,7,10,8,2]=>[2,8,10,7,12,11,4,3,9,6,1,5]
[5,1,6,10,3,4,11,12,9,7,8,2]=>[2,8,7,9,12,11,4,3,10,6,1,5]
[5,1,7,8,3,10,4,6,12,9,11,2]=>[2,11,9,12,6,4,10,3,8,7,1,5]
[5,1,7,8,3,11,4,6,12,10,9,2]=>[2,9,10,12,6,4,11,3,8,7,1,5]
[5,1,7,9,3,10,4,12,6,8,11,2]=>[2,11,8,6,12,4,10,3,9,7,1,5]
[5,1,7,9,3,11,4,12,6,10,8,2]=>[2,8,10,6,12,4,11,3,9,7,1,5]
[5,1,7,10,3,11,4,12,9,6,8,2]=>[2,8,6,9,12,4,11,3,10,7,1,5]
[5,1,8,9,3,10,12,4,6,7,11,2]=>[2,11,7,6,4,12,10,3,9,8,1,5]
[5,1,8,9,3,11,12,4,6,10,7,2]=>[2,7,10,6,4,12,11,3,9,8,1,5]
[5,1,8,10,3,11,12,4,9,6,7,2]=>[2,7,6,9,4,12,11,3,10,8,1,5]
[5,1,9,10,3,11,12,8,4,6,7,2]=>[2,7,6,4,8,12,11,3,10,9,1,5]
[6,1,7,8,10,3,4,5,12,9,11,2]=>[2,11,9,12,5,4,3,10,8,7,1,6]
[6,1,7,8,11,3,4,5,12,10,9,2]=>[2,9,10,12,5,4,3,11,8,7,1,6]
[6,1,7,9,10,3,4,12,5,8,11,2]=>[2,11,8,5,12,4,3,10,9,7,1,6]
[6,1,7,9,11,3,4,12,5,10,8,2]=>[2,8,10,5,12,4,3,11,9,7,1,6]
[6,1,7,10,11,3,4,12,9,5,8,2]=>[2,8,5,9,12,4,3,11,10,7,1,6]
[6,1,8,9,10,3,12,4,5,7,11,2]=>[2,11,7,5,4,12,3,10,9,8,1,6]
[6,1,8,9,11,3,12,4,5,10,7,2]=>[2,7,10,5,4,12,3,11,9,8,1,6]
[6,1,8,10,11,3,12,4,9,5,7,2]=>[2,7,5,9,4,12,3,11,10,8,1,6]
[6,1,9,10,11,3,12,8,4,5,7,2]=>[2,7,5,4,8,12,3,11,10,9,1,6]
[7,1,8,9,10,12,3,4,5,6,11,2]=>[2,11,6,5,4,3,12,10,9,8,1,7]
[7,1,8,9,11,12,3,4,5,10,6,2]=>[2,6,10,5,4,3,12,11,9,8,1,7]
[7,1,8,10,11,12,3,4,9,5,6,2]=>[2,6,5,9,4,3,12,11,10,8,1,7]
[7,1,9,10,11,12,3,8,4,5,6,2]=>[2,6,5,4,8,3,12,11,10,9,1,7]
[8,1,9,10,11,12,7,3,4,5,6,2]=>[2,6,5,4,3,7,12,11,10,9,1,8]
[4,6,1,2,8,5,10,7,12,9,11,3]=>[3,11,9,12,7,10,5,8,2,1,6,4]
[4,6,1,2,8,5,11,7,12,10,9,3]=>[3,9,10,12,7,11,5,8,2,1,6,4]
[4,6,1,2,9,5,10,12,7,8,11,3]=>[3,11,8,7,12,10,5,9,2,1,6,4]
[4,6,1,2,9,5,11,12,7,10,8,3]=>[3,8,10,7,12,11,5,9,2,1,6,4]
[4,6,1,2,10,5,11,12,9,7,8,3]=>[3,8,7,9,12,11,5,10,2,1,6,4]
[4,7,1,2,8,10,5,6,12,9,11,3]=>[3,11,9,12,6,5,10,8,2,1,7,4]
[4,7,1,2,8,11,5,6,12,10,9,3]=>[3,9,10,12,6,5,11,8,2,1,7,4]
[4,7,1,2,9,10,5,12,6,8,11,3]=>[3,11,8,6,12,5,10,9,2,1,7,4]
[4,7,1,2,9,11,5,12,6,10,8,3]=>[3,8,10,6,12,5,11,9,2,1,7,4]
[4,7,1,2,10,11,5,12,9,6,8,3]=>[3,8,6,9,12,5,11,10,2,1,7,4]
[4,8,1,2,9,10,12,5,6,7,11,3]=>[3,11,7,6,5,12,10,9,2,1,8,4]
[4,8,1,2,9,11,12,5,6,10,7,3]=>[3,7,10,6,5,12,11,9,2,1,8,4]
[4,8,1,2,10,11,12,5,9,6,7,3]=>[3,7,6,9,5,12,11,10,2,1,8,4]
[4,9,1,2,10,11,12,8,5,6,7,3]=>[3,7,6,5,8,12,11,10,2,1,9,4]
[5,6,1,8,2,4,10,7,12,9,11,3]=>[3,11,9,12,7,10,4,2,8,1,6,5]
[5,6,1,8,2,4,11,7,12,10,9,3]=>[3,9,10,12,7,11,4,2,8,1,6,5]
[5,6,1,9,2,4,10,12,7,8,11,3]=>[3,11,8,7,12,10,4,2,9,1,6,5]
[5,6,1,9,2,4,11,12,7,10,8,3]=>[3,8,10,7,12,11,4,2,9,1,6,5]
[5,6,1,10,2,4,11,12,9,7,8,3]=>[3,8,7,9,12,11,4,2,10,1,6,5]
[5,7,1,8,2,10,4,6,12,9,11,3]=>[3,11,9,12,6,4,10,2,8,1,7,5]
[5,7,1,8,2,11,4,6,12,10,9,3]=>[3,9,10,12,6,4,11,2,8,1,7,5]
[5,7,1,9,2,10,4,12,6,8,11,3]=>[3,11,8,6,12,4,10,2,9,1,7,5]
[5,7,1,9,2,11,4,12,6,10,8,3]=>[3,8,10,6,12,4,11,2,9,1,7,5]
[5,7,1,10,2,11,4,12,9,6,8,3]=>[3,8,6,9,12,4,11,2,10,1,7,5]
[5,8,1,9,2,10,12,4,6,7,11,3]=>[3,11,7,6,4,12,10,2,9,1,8,5]
[5,8,1,9,2,11,12,4,6,10,7,3]=>[3,7,10,6,4,12,11,2,9,1,8,5]
[5,8,1,10,2,11,12,4,9,6,7,3]=>[3,7,6,9,4,12,11,2,10,1,8,5]
[5,9,1,10,2,11,12,8,4,6,7,3]=>[3,7,6,4,8,12,11,2,10,1,9,5]
[6,7,1,8,10,2,4,5,12,9,11,3]=>[3,11,9,12,5,4,2,10,8,1,7,6]
[6,7,1,8,11,2,4,5,12,10,9,3]=>[3,9,10,12,5,4,2,11,8,1,7,6]
[6,7,1,9,10,2,4,12,5,8,11,3]=>[3,11,8,5,12,4,2,10,9,1,7,6]
[6,7,1,9,11,2,4,12,5,10,8,3]=>[3,8,10,5,12,4,2,11,9,1,7,6]
[6,7,1,10,11,2,4,12,9,5,8,3]=>[3,8,5,9,12,4,2,11,10,1,7,6]
[6,8,1,9,10,2,12,4,5,7,11,3]=>[3,11,7,5,4,12,2,10,9,1,8,6]
[6,8,1,9,11,2,12,4,5,10,7,3]=>[3,7,10,5,4,12,2,11,9,1,8,6]
[6,8,1,10,11,2,12,4,9,5,7,3]=>[3,7,5,9,4,12,2,11,10,1,8,6]
[6,9,1,10,11,2,12,8,4,5,7,3]=>[3,7,5,4,8,12,2,11,10,1,9,6]
[7,8,1,9,10,12,2,4,5,6,11,3]=>[3,11,6,5,4,2,12,10,9,1,8,7]
[7,8,1,9,11,12,2,4,5,10,6,3]=>[3,6,10,5,4,2,12,11,9,1,8,7]
[7,8,1,10,11,12,2,4,9,5,6,3]=>[3,6,5,9,4,2,12,11,10,1,8,7]
[7,9,1,10,11,12,2,8,4,5,6,3]=>[3,6,5,4,8,2,12,11,10,1,9,7]
[8,9,1,10,11,12,7,2,4,5,6,3]=>[3,6,5,4,2,7,12,11,10,1,9,8]
[5,6,8,1,2,3,10,7,12,9,11,4]=>[4,11,9,12,7,10,3,2,1,8,6,5]
[5,6,8,1,2,3,11,7,12,10,9,4]=>[4,9,10,12,7,11,3,2,1,8,6,5]
[5,6,9,1,2,3,10,12,7,8,11,4]=>[4,11,8,7,12,10,3,2,1,9,6,5]
[5,6,9,1,2,3,11,12,7,10,8,4]=>[4,8,10,7,12,11,3,2,1,9,6,5]
[5,6,10,1,2,3,11,12,9,7,8,4]=>[4,8,7,9,12,11,3,2,1,10,6,5]
[5,7,8,1,2,10,3,6,12,9,11,4]=>[4,11,9,12,6,3,10,2,1,8,7,5]
[5,7,8,1,2,11,3,6,12,10,9,4]=>[4,9,10,12,6,3,11,2,1,8,7,5]
[5,7,9,1,2,10,3,12,6,8,11,4]=>[4,11,8,6,12,3,10,2,1,9,7,5]
[5,7,9,1,2,11,3,12,6,10,8,4]=>[4,8,10,6,12,3,11,2,1,9,7,5]
[5,7,10,1,2,11,3,12,9,6,8,4]=>[4,8,6,9,12,3,11,2,1,10,7,5]
[5,8,9,1,2,10,12,3,6,7,11,4]=>[4,11,7,6,3,12,10,2,1,9,8,5]
[5,8,9,1,2,11,12,3,6,10,7,4]=>[4,7,10,6,3,12,11,2,1,9,8,5]
[5,8,10,1,2,11,12,3,9,6,7,4]=>[4,7,6,9,3,12,11,2,1,10,8,5]
[5,9,10,1,2,11,12,8,3,6,7,4]=>[4,7,6,3,8,12,11,2,1,10,9,5]
[6,7,8,1,10,2,3,5,12,9,11,4]=>[4,11,9,12,5,3,2,10,1,8,7,6]
[6,7,8,1,11,2,3,5,12,10,9,4]=>[4,9,10,12,5,3,2,11,1,8,7,6]
[6,7,9,1,10,2,3,12,5,8,11,4]=>[4,11,8,5,12,3,2,10,1,9,7,6]
[6,7,9,1,11,2,3,12,5,10,8,4]=>[4,8,10,5,12,3,2,11,1,9,7,6]
[6,7,10,1,11,2,3,12,9,5,8,4]=>[4,8,5,9,12,3,2,11,1,10,7,6]
[6,8,9,1,10,2,12,3,5,7,11,4]=>[4,11,7,5,3,12,2,10,1,9,8,6]
[6,8,9,1,11,2,12,3,5,10,7,4]=>[4,7,10,5,3,12,2,11,1,9,8,6]
[6,8,10,1,11,2,12,3,9,5,7,4]=>[4,7,5,9,3,12,2,11,1,10,8,6]
[6,9,10,1,11,2,12,8,3,5,7,4]=>[4,7,5,3,8,12,2,11,1,10,9,6]
[7,8,9,1,10,12,2,3,5,6,11,4]=>[4,11,6,5,3,2,12,10,1,9,8,7]
[7,8,9,1,11,12,2,3,5,10,6,4]=>[4,6,10,5,3,2,12,11,1,9,8,7]
[7,8,10,1,11,12,2,3,9,5,6,4]=>[4,6,5,9,3,2,12,11,1,10,8,7]
[7,9,10,1,11,12,2,8,3,5,6,4]=>[4,6,5,3,8,2,12,11,1,10,9,7]
[8,9,10,1,11,12,7,2,3,5,6,4]=>[4,6,5,3,2,7,12,11,1,10,9,8]
[6,7,8,10,1,2,3,4,12,9,11,5]=>[5,11,9,12,4,3,2,1,10,8,7,6]
[6,7,8,11,1,2,3,4,12,10,9,5]=>[5,9,10,12,4,3,2,1,11,8,7,6]
[6,7,9,10,1,2,3,12,4,8,11,5]=>[5,11,8,4,12,3,2,1,10,9,7,6]
[6,7,9,11,1,2,3,12,4,10,8,5]=>[5,8,10,4,12,3,2,1,11,9,7,6]
[6,7,10,11,1,2,3,12,9,4,8,5]=>[5,8,4,9,12,3,2,1,11,10,7,6]
[6,8,9,10,1,2,12,3,4,7,11,5]=>[5,11,7,4,3,12,2,1,10,9,8,6]
[6,8,9,11,1,2,12,3,4,10,7,5]=>[5,7,10,4,3,12,2,1,11,9,8,6]
[6,8,10,11,1,2,12,3,9,4,7,5]=>[5,7,4,9,3,12,2,1,11,10,8,6]
[6,9,10,11,1,2,12,8,3,4,7,5]=>[5,7,4,3,8,12,2,1,11,10,9,6]
[7,8,9,10,1,12,2,3,4,6,11,5]=>[5,11,6,4,3,2,12,1,10,9,8,7]
[7,8,9,11,1,12,2,3,4,10,6,5]=>[5,6,10,4,3,2,12,1,11,9,8,7]
[7,8,10,11,1,12,2,3,9,4,6,5]=>[5,6,4,9,3,2,12,1,11,10,8,7]
[7,9,10,11,1,12,2,8,3,4,6,5]=>[5,6,4,3,8,2,12,1,11,10,9,7]
[8,9,10,11,1,12,7,2,3,4,6,5]=>[5,6,4,3,2,7,12,1,11,10,9,8]
[7,8,9,11,12,1,2,3,4,10,5,6]=>[6,5,10,4,3,2,1,12,11,9,8,7]
[7,8,10,11,12,1,2,3,9,4,5,6]=>[6,5,4,9,3,2,1,12,11,10,8,7]
[7,9,10,11,12,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,12,11,10,9,7]
[8,9,10,11,12,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,12,11,10,9,8]
[8,9,10,11,12,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,12,11,10,9,8]
[12,11,8,7,6,5,4,3,9,10,2,1]=>[1,2,10,9,3,4,5,6,7,8,11,12]
[12,11,8,7,5,6,4,3,9,10,2,1]=>[1,2,10,9,3,4,6,5,7,8,11,12]
[12,11,3,7,6,5,4,8,9,10,2,1]=>[1,2,10,9,8,4,5,6,7,3,11,12]
[1,11,10,8,7,6,5,4,9,3,2,12]=>[12,2,3,9,4,5,6,7,8,10,11,1]
[1,11,10,7,6,5,4,8,9,3,2,12]=>[12,2,3,9,8,4,5,6,7,10,11,1]
[12,11,3,4,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,4,3,11,12]
[1,11,10,4,9,8,7,6,5,3,2,12]=>[12,2,3,5,6,7,8,9,4,10,11,1]
[12,11,3,4,10,9,7,8,6,5,2,1]=>[1,2,5,6,8,7,9,10,4,3,11,12]
[1,2,10,9,7,6,5,8,4,3,11,12]=>[12,11,3,4,8,5,6,7,9,10,2,1]
[12,11,3,4,5,9,8,7,6,10,2,1]=>[1,2,10,6,7,8,9,5,4,3,11,12]
[1,11,10,4,5,9,8,7,6,3,2,12]=>[12,2,3,6,7,8,9,5,4,10,11,1]
[1,2,10,9,5,8,7,6,4,3,11,12]=>[12,11,3,4,6,7,8,5,9,10,2,1]
[1,2,3,9,8,7,6,5,4,10,11,12]=>[12,11,10,4,5,6,7,8,9,3,2,1]
[12,10,8,9,11,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,11,9,8,10,12]
[12,10,8,9,6,7,11,4,5,2,3,1]=>[1,3,2,5,4,11,7,6,9,8,10,12]
[12,10,11,8,6,7,9,4,5,2,3,1]=>[1,3,2,5,4,9,7,6,8,11,10,12]
[12,10,8,6,7,9,11,4,5,2,3,1]=>[1,3,2,5,4,11,9,7,6,8,10,12]
[12,10,8,9,6,7,4,5,11,2,3,1]=>[1,3,2,11,5,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,5,11,2,3,1]=>[1,3,2,11,5,4,9,7,6,8,10,12]
[12,10,11,8,6,7,4,5,9,2,3,1]=>[1,3,2,9,5,4,7,6,8,11,10,12]
[12,10,8,6,7,4,5,9,11,2,3,1]=>[1,3,2,11,9,5,4,7,6,8,10,12]
[12,10,11,8,9,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,9,8,11,10,12]
[12,10,8,9,11,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,11,9,8,10,12]
[12,10,8,9,6,4,5,7,11,2,3,1]=>[1,3,2,11,7,5,4,6,9,8,10,12]
[12,10,11,8,6,4,5,7,9,2,3,1]=>[1,3,2,9,7,5,4,6,8,11,10,12]
[12,10,8,6,4,5,7,9,11,2,3,1]=>[1,3,2,11,9,7,5,4,6,8,10,12]
[12,10,8,9,6,7,4,5,2,3,11,1]=>[1,11,3,2,5,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,5,2,3,11,1]=>[1,11,3,2,5,4,9,7,6,8,10,12]
[12,10,8,6,7,4,5,9,2,3,11,1]=>[1,11,3,2,9,5,4,7,6,8,10,12]
[12,10,8,9,6,4,5,7,2,3,11,1]=>[1,11,3,2,7,5,4,6,9,8,10,12]
[12,10,8,6,4,5,7,9,2,3,11,1]=>[1,11,3,2,9,7,5,4,6,8,10,12]
[12,10,11,8,6,7,4,5,2,3,9,1]=>[1,9,3,2,5,4,7,6,8,11,10,12]
[12,10,11,8,6,4,5,7,2,3,9,1]=>[1,9,3,2,7,5,4,6,8,11,10,12]
[12,10,8,6,7,4,5,2,3,9,11,1]=>[1,11,9,3,2,5,4,7,6,8,10,12]
[12,10,8,6,4,5,7,2,3,9,11,1]=>[1,11,9,3,2,7,5,4,6,8,10,12]
[12,10,11,8,9,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,9,8,11,10,12]
[12,10,8,9,11,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,11,9,8,10,12]
[12,10,8,9,6,4,5,2,3,7,11,1]=>[1,11,7,3,2,5,4,6,9,8,10,12]
[12,10,11,8,6,4,5,2,3,7,9,1]=>[1,9,7,3,2,5,4,6,8,11,10,12]
[12,10,8,6,4,5,2,3,7,9,11,1]=>[1,11,9,7,3,2,5,4,6,8,10,12]
[12,10,11,8,9,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,9,8,11,10,12]
[12,10,8,9,11,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,11,9,8,10,12]
[12,10,8,9,6,7,11,4,2,3,5,1]=>[1,5,3,2,4,11,7,6,9,8,10,12]
[12,10,11,8,6,7,9,4,2,3,5,1]=>[1,5,3,2,4,9,7,6,8,11,10,12]
[12,10,8,9,6,7,4,2,3,5,11,1]=>[1,11,5,3,2,4,7,6,9,8,10,12]
[12,10,11,8,9,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,9,8,11,10,12]
[12,10,8,9,6,7,4,5,2,3,1,11]=>[11,1,3,2,5,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,5,2,3,1,11]=>[11,1,3,2,5,4,9,7,6,8,10,12]
[12,10,8,6,7,4,5,9,2,3,1,11]=>[11,1,3,2,9,5,4,7,6,8,10,12]
[12,10,8,9,6,4,5,7,2,3,1,11]=>[11,1,3,2,7,5,4,6,9,8,10,12]
[12,10,8,6,4,5,7,9,2,3,1,11]=>[11,1,3,2,9,7,5,4,6,8,10,12]
[12,10,8,6,7,4,5,2,3,9,1,11]=>[11,1,9,3,2,5,4,7,6,8,10,12]
[12,10,8,6,4,5,7,2,3,9,1,11]=>[11,1,9,3,2,7,5,4,6,8,10,12]
[12,10,8,9,6,4,5,2,3,7,1,11]=>[11,1,7,3,2,5,4,6,9,8,10,12]
[12,10,8,6,4,5,2,3,7,9,1,11]=>[11,1,9,7,3,2,5,4,6,8,10,12]
[12,10,8,9,6,7,4,2,3,5,1,11]=>[11,1,5,3,2,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,2,3,5,1,11]=>[11,1,5,3,2,4,9,7,6,8,10,12]
[12,10,8,6,7,4,2,3,5,9,1,11]=>[11,1,9,5,3,2,4,7,6,8,10,12]
[12,10,8,9,6,4,2,3,5,7,1,11]=>[11,1,7,5,3,2,4,6,9,8,10,12]
[12,10,8,6,4,2,3,5,7,9,1,11]=>[11,1,9,7,5,3,2,4,6,8,10,12]
[12,10,11,8,6,7,4,5,2,3,1,9]=>[9,1,3,2,5,4,7,6,8,11,10,12]
[12,10,11,8,6,4,5,7,2,3,1,9]=>[9,1,3,2,7,5,4,6,8,11,10,12]
[12,10,11,8,6,4,5,2,3,7,1,9]=>[9,1,7,3,2,5,4,6,8,11,10,12]
[12,10,11,8,6,7,4,2,3,5,1,9]=>[9,1,5,3,2,4,7,6,8,11,10,12]
[12,10,11,8,6,4,2,3,5,7,1,9]=>[9,1,7,5,3,2,4,6,8,11,10,12]
[12,10,8,6,7,4,5,2,3,1,9,11]=>[11,9,1,3,2,5,4,7,6,8,10,12]
[12,10,8,6,4,5,7,2,3,1,9,11]=>[11,9,1,3,2,7,5,4,6,8,10,12]
[12,10,8,6,4,5,2,3,7,1,9,11]=>[11,9,1,7,3,2,5,4,6,8,10,12]
[12,10,8,6,7,4,2,3,5,1,9,11]=>[11,9,1,5,3,2,4,7,6,8,10,12]
[12,10,8,6,4,2,3,5,7,1,9,11]=>[11,9,1,7,5,3,2,4,6,8,10,12]
[12,10,11,8,9,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,9,8,11,10,12]
[12,10,11,8,9,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,9,8,11,10,12]
[12,10,8,9,11,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,11,9,8,10,12]
[12,10,8,9,11,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,11,9,8,10,12]
[12,10,8,9,6,4,5,2,3,1,7,11]=>[11,7,1,3,2,5,4,6,9,8,10,12]
[12,10,8,9,6,4,2,3,5,1,7,11]=>[11,7,1,5,3,2,4,6,9,8,10,12]
[12,10,11,8,6,4,5,2,3,1,7,9]=>[9,7,1,3,2,5,4,6,8,11,10,12]
[12,10,11,8,6,4,2,3,5,1,7,9]=>[9,7,1,5,3,2,4,6,8,11,10,12]
[12,10,8,6,4,5,2,3,1,7,9,11]=>[11,9,7,1,3,2,5,4,6,8,10,12]
[12,10,8,6,4,2,3,5,1,7,9,11]=>[11,9,7,1,5,3,2,4,6,8,10,12]
[12,10,11,8,9,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,9,8,11,10,12]
[12,10,8,9,11,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,11,9,8,10,12]
[12,10,8,9,6,7,11,4,2,3,1,5]=>[5,1,3,2,4,11,7,6,9,8,10,12]
[12,10,8,6,7,9,11,4,2,3,1,5]=>[5,1,3,2,4,11,9,7,6,8,10,12]
[12,10,8,9,6,7,4,2,3,1,5,11]=>[11,5,1,3,2,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,2,3,1,5,11]=>[11,5,1,3,2,4,9,7,6,8,10,12]
[12,10,11,8,6,7,4,2,3,1,5,9]=>[9,5,1,3,2,4,7,6,8,11,10,12]
[12,10,8,6,7,4,2,3,1,5,9,11]=>[11,9,5,1,3,2,4,7,6,8,10,12]
[12,10,11,8,9,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,9,8,11,10,12]
[12,10,8,9,11,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,11,9,8,10,12]
[12,10,8,9,6,4,2,3,1,5,7,11]=>[11,7,5,1,3,2,4,6,9,8,10,12]
[12,10,11,8,6,4,2,3,1,5,7,9]=>[9,7,5,1,3,2,4,6,8,11,10,12]
[12,10,8,9,11,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,11,9,8,10,12]
[12,10,8,9,6,7,11,4,5,2,1,3]=>[3,1,2,5,4,11,7,6,9,8,10,12]
[12,10,11,8,6,7,9,4,5,2,1,3]=>[3,1,2,5,4,9,7,6,8,11,10,12]
[12,10,8,6,7,9,11,4,5,2,1,3]=>[3,1,2,5,4,11,9,7,6,8,10,12]
[12,10,8,9,6,7,4,5,11,2,1,3]=>[3,1,2,11,5,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,5,11,2,1,3]=>[3,1,2,11,5,4,9,7,6,8,10,12]
[12,10,11,8,6,7,4,5,9,2,1,3]=>[3,1,2,9,5,4,7,6,8,11,10,12]
[12,10,8,6,7,4,5,9,11,2,1,3]=>[3,1,2,11,9,5,4,7,6,8,10,12]
[12,10,11,8,9,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,9,8,11,10,12]
[12,10,8,9,6,7,4,5,2,1,3,11]=>[11,3,1,2,5,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,5,2,1,3,11]=>[11,3,1,2,5,4,9,7,6,8,10,12]
[12,10,8,6,7,4,5,9,2,1,3,11]=>[11,3,1,2,9,5,4,7,6,8,10,12]
[12,10,8,9,6,4,5,7,2,1,3,11]=>[11,3,1,2,7,5,4,6,9,8,10,12]
[12,10,11,8,6,7,4,5,2,1,3,9]=>[9,3,1,2,5,4,7,6,8,11,10,12]
[12,10,8,6,7,4,5,2,1,3,9,11]=>[11,9,3,1,2,5,4,7,6,8,10,12]
[12,10,11,8,9,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,9,8,11,10,12]
[12,10,11,8,9,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,9,8,11,10,12]
[12,10,8,9,11,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,11,9,8,10,12]
[12,10,8,9,6,7,11,4,2,1,3,5]=>[5,3,1,2,4,11,7,6,9,8,10,12]
[12,10,8,6,7,9,11,4,2,1,3,5]=>[5,3,1,2,4,11,9,7,6,8,10,12]
[12,10,8,9,6,7,4,2,1,3,5,11]=>[11,5,3,1,2,4,7,6,9,8,10,12]
[12,10,8,6,7,9,4,2,1,3,5,11]=>[11,5,3,1,2,4,9,7,6,8,10,12]
[12,10,11,8,6,7,4,2,1,3,5,9]=>[9,5,3,1,2,4,7,6,8,11,10,12]
[12,10,8,6,7,4,2,1,3,5,9,11]=>[11,9,5,3,1,2,4,7,6,8,10,12]
[12,10,11,8,9,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,9,8,11,10,12]
[12,10,8,9,11,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,11,9,8,10,12]
[12,10,8,9,6,4,2,1,3,5,7,11]=>[11,7,5,3,1,2,4,6,9,8,10,12]
[12,10,11,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,11,10,12]
[2,12,4,1,6,3,8,5,9,10,11,7]=>[7,11,10,9,5,8,3,6,1,4,12,2]
[2,12,4,1,6,3,8,9,10,5,11,7]=>[7,11,5,10,9,8,3,6,1,4,12,2]
[2,12,4,1,6,3,7,9,11,10,8,5]=>[5,8,10,11,9,7,3,6,1,4,12,2]
[2,12,4,1,6,3,7,8,9,10,11,5]=>[5,11,10,9,8,7,3,6,1,4,12,2]
[2,12,4,1,6,7,8,3,10,5,11,9]=>[9,11,5,10,3,8,7,6,1,4,12,2]
[2,12,4,1,6,7,8,3,9,10,11,5]=>[5,11,10,9,3,8,7,6,1,4,12,2]
[2,12,4,1,8,7,10,9,6,3,11,5]=>[5,11,3,6,9,10,7,8,1,4,12,2]
[2,12,4,1,5,7,11,9,6,10,8,3]=>[3,8,10,6,9,11,7,5,1,4,12,2]
[2,12,4,1,5,7,11,8,9,10,6,3]=>[3,6,10,9,8,11,7,5,1,4,12,2]
[2,12,4,1,6,7,8,9,10,3,11,5]=>[5,11,3,10,9,8,7,6,1,4,12,2]
[2,12,4,1,5,7,8,9,11,10,6,3]=>[3,6,10,11,9,8,7,5,1,4,12,2]
[2,12,4,1,5,6,8,10,9,7,11,3]=>[3,11,7,9,10,8,6,5,1,4,12,2]
[2,12,4,1,5,6,7,8,9,10,11,3]=>[3,11,10,9,8,7,6,5,1,4,12,2]
[2,12,4,5,6,1,8,3,10,7,11,9]=>[9,11,7,10,3,8,1,6,5,4,12,2]
[2,12,4,5,6,1,8,3,9,10,11,7]=>[7,11,10,9,3,8,1,6,5,4,12,2]
[2,12,4,5,6,1,8,9,10,3,11,7]=>[7,11,3,10,9,8,1,6,5,4,12,2]
[2,12,4,5,6,1,7,9,11,10,8,3]=>[3,8,10,11,9,7,1,6,5,4,12,2]
[2,12,4,5,6,1,7,8,9,10,11,3]=>[3,11,10,9,8,7,1,6,5,4,12,2]
[2,12,6,5,8,7,4,1,10,3,11,9]=>[9,11,3,10,1,4,7,8,5,6,12,2]
[2,12,6,5,8,7,4,1,9,10,11,3]=>[3,11,10,9,1,4,7,8,5,6,12,2]
[2,12,8,5,10,7,4,9,6,1,11,3]=>[3,11,1,6,9,4,7,10,5,8,12,2]
[2,12,3,5,11,7,4,9,6,10,8,1]=>[1,8,10,6,9,4,7,11,5,3,12,2]
[2,12,3,5,11,7,4,8,9,10,6,1]=>[1,6,10,9,8,4,7,11,5,3,12,2]
[2,12,6,5,10,7,8,9,4,1,11,3]=>[3,11,1,4,9,8,7,10,5,6,12,2]
[2,12,3,5,11,7,8,9,4,10,6,1]=>[1,6,10,4,9,8,7,11,5,3,12,2]
[2,12,3,5,11,6,8,10,9,7,4,1]=>[1,4,7,9,10,8,6,11,5,3,12,2]
[2,12,3,5,11,6,7,8,9,10,4,1]=>[1,4,10,9,8,7,6,11,5,3,12,2]
[2,12,4,5,6,7,8,1,10,3,11,9]=>[9,11,3,10,1,8,7,6,5,4,12,2]
[2,12,4,5,6,7,8,1,9,10,11,3]=>[3,11,10,9,1,8,7,6,5,4,12,2]
[2,12,8,5,6,7,10,9,4,1,11,3]=>[3,11,1,4,9,10,7,6,5,8,12,2]
[2,12,3,5,6,7,11,9,4,10,8,1]=>[1,8,10,4,9,11,7,6,5,3,12,2]
[2,12,3,5,6,7,11,8,9,10,4,1]=>[1,4,10,9,8,11,7,6,5,3,12,2]
[2,12,4,7,6,9,8,5,10,1,11,3]=>[3,11,1,10,5,8,9,6,7,4,12,2]
[2,12,3,7,6,9,8,5,11,10,4,1]=>[1,4,10,11,5,8,9,6,7,3,12,2]
[2,12,3,4,6,10,8,5,9,7,11,1]=>[1,11,7,9,5,8,10,6,4,3,12,2]
[2,12,3,4,6,10,7,8,9,5,11,1]=>[1,11,5,9,8,7,10,6,4,3,12,2]
[2,12,4,5,6,7,8,9,10,1,11,3]=>[3,11,1,10,9,8,7,6,5,4,12,2]
[2,12,3,5,6,7,8,9,11,10,4,1]=>[1,4,10,11,9,8,7,6,5,3,12,2]
[2,12,3,4,6,7,8,10,9,5,11,1]=>[1,11,5,9,10,8,7,6,4,3,12,2]
[2,12,3,4,5,7,9,8,6,10,11,1]=>[1,11,10,6,8,9,7,5,4,3,12,2]
[2,3,4,12,6,1,8,5,10,7,11,9]=>[9,11,7,10,5,8,1,6,12,4,3,2]
[2,3,4,12,6,1,8,5,9,10,11,7]=>[7,11,10,9,5,8,1,6,12,4,3,2]
[2,3,4,12,6,1,8,9,10,5,11,7]=>[7,11,5,10,9,8,1,6,12,4,3,2]
[2,3,4,12,6,1,7,9,11,10,8,5]=>[5,8,10,11,9,7,1,6,12,4,3,2]
[2,3,4,12,6,1,7,8,9,10,11,5]=>[5,11,10,9,8,7,1,6,12,4,3,2]
[2,3,4,12,6,7,8,1,10,5,11,9]=>[9,11,5,10,1,8,7,6,12,4,3,2]
[2,3,4,12,6,7,8,1,9,10,11,5]=>[5,11,10,9,1,8,7,6,12,4,3,2]
[2,3,4,12,8,7,10,9,6,1,11,5]=>[5,11,1,6,9,10,7,8,12,4,3,2]
[2,3,4,12,5,7,11,9,6,10,8,1]=>[1,8,10,6,9,11,7,5,12,4,3,2]
[2,3,4,12,5,7,11,8,9,10,6,1]=>[1,6,10,9,8,11,7,5,12,4,3,2]
[2,3,4,12,6,7,8,9,10,1,11,5]=>[5,11,1,10,9,8,7,6,12,4,3,2]
[2,3,4,12,5,7,8,9,11,10,6,1]=>[1,6,10,11,9,8,7,5,12,4,3,2]
[2,3,4,12,5,6,8,10,9,7,11,1]=>[1,11,7,9,10,8,6,5,12,4,3,2]
[2,3,4,12,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,12,4,3,2]
[4,3,6,5,2,12,8,1,10,7,11,9]=>[9,11,7,10,1,8,12,2,5,6,3,4]
[4,3,6,5,2,12,8,1,9,10,11,7]=>[7,11,10,9,1,8,12,2,5,6,3,4]
[4,3,6,5,2,12,8,9,10,1,11,7]=>[7,11,1,10,9,8,12,2,5,6,3,4]
[4,3,6,5,2,12,7,9,11,10,8,1]=>[1,8,10,11,9,7,12,2,5,6,3,4]
[4,3,6,5,2,12,7,8,9,10,11,1]=>[1,11,10,9,8,7,12,2,5,6,3,4]
[6,3,8,5,2,7,4,12,10,1,11,9]=>[9,11,1,10,12,4,7,2,5,8,3,6]
[6,3,8,5,2,7,4,12,9,10,11,1]=>[1,11,10,9,12,4,7,2,5,8,3,6]
[8,3,10,5,2,7,4,9,6,12,11,1]=>[1,11,12,6,9,4,7,2,5,10,3,8]
[1,3,11,5,2,7,4,9,6,10,8,12]=>[12,8,10,6,9,4,7,2,5,11,3,1]
[1,3,11,5,2,7,4,8,9,10,6,12]=>[12,6,10,9,8,4,7,2,5,11,3,1]
[6,3,10,5,2,7,8,9,4,12,11,1]=>[1,11,12,4,9,8,7,2,5,10,3,6]
[1,3,11,5,2,7,8,9,4,10,6,12]=>[12,6,10,4,9,8,7,2,5,11,3,1]
[1,3,11,5,2,6,8,10,9,7,4,12]=>[12,4,7,9,10,8,6,2,5,11,3,1]
[1,3,11,5,2,6,7,8,9,10,4,12]=>[12,4,10,9,8,7,6,2,5,11,3,1]
[4,3,8,5,6,7,2,12,10,1,11,9]=>[9,11,1,10,12,2,7,6,5,8,3,4]
[4,3,8,5,6,7,2,12,9,10,11,1]=>[1,11,10,9,12,2,7,6,5,8,3,4]
[8,3,10,5,6,7,2,9,4,12,11,1]=>[1,11,12,4,9,2,7,6,5,10,3,8]
[1,3,11,5,6,7,2,9,4,10,8,12]=>[12,8,10,4,9,2,7,6,5,11,3,1]
[1,3,11,5,6,7,2,8,9,10,4,12]=>[12,4,10,9,8,2,7,6,5,11,3,1]
[4,3,10,7,6,9,8,5,2,12,11,1]=>[1,11,12,2,5,8,9,6,7,10,3,4]
[1,3,11,7,6,9,8,5,2,10,4,12]=>[12,4,10,2,5,8,9,6,7,11,3,1]
[1,3,11,4,6,10,8,5,9,7,2,12]=>[12,2,7,9,5,8,10,6,4,11,3,1]
[1,3,11,4,6,10,7,8,9,5,2,12]=>[12,2,5,9,8,7,10,6,4,11,3,1]
[4,3,10,5,6,7,8,9,2,12,11,1]=>[1,11,12,2,9,8,7,6,5,10,3,4]
[1,3,11,5,6,7,8,9,2,10,4,12]=>[12,4,10,2,9,8,7,6,5,11,3,1]
[1,3,11,4,6,7,8,10,9,5,2,12]=>[12,2,5,9,10,8,7,6,4,11,3,1]
[1,3,11,4,5,7,9,8,6,10,2,12]=>[12,2,10,6,8,9,7,5,4,11,3,1]
[1,3,11,4,5,6,7,8,9,10,2,12]=>[12,2,10,9,8,7,6,5,4,11,3,1]
[2,3,4,5,6,12,8,1,10,7,11,9]=>[9,11,7,10,1,8,12,6,5,4,3,2]
[2,3,4,5,6,12,8,1,9,10,11,7]=>[7,11,10,9,1,8,12,6,5,4,3,2]
[2,3,4,5,6,12,8,9,10,1,11,7]=>[7,11,1,10,9,8,12,6,5,4,3,2]
[2,3,4,5,6,12,7,9,11,10,8,1]=>[1,8,10,11,9,7,12,6,5,4,3,2]
[6,3,4,5,8,7,2,12,10,1,11,9]=>[9,11,1,10,12,2,7,8,5,4,3,6]
[6,3,4,5,8,7,2,12,9,10,11,1]=>[1,11,10,9,12,2,7,8,5,4,3,6]
[8,3,4,5,10,7,2,9,6,12,11,1]=>[1,11,12,6,9,2,7,10,5,4,3,8]
[1,3,4,5,11,7,2,9,6,10,8,12]=>[12,8,10,6,9,2,7,11,5,4,3,1]
[1,3,4,5,11,7,2,8,9,10,6,12]=>[12,6,10,9,8,2,7,11,5,4,3,1]
[6,3,4,5,10,7,8,9,2,12,11,1]=>[1,11,12,2,9,8,7,10,5,4,3,6]
[1,3,4,5,11,7,8,9,2,10,6,12]=>[12,6,10,2,9,8,7,11,5,4,3,1]
[1,3,4,5,11,6,8,10,9,7,2,12]=>[12,2,7,9,10,8,6,11,5,4,3,1]
[1,3,4,5,11,6,7,8,9,10,2,12]=>[12,2,10,9,8,7,6,11,5,4,3,1]
[2,5,4,7,6,3,8,12,10,1,11,9]=>[9,11,1,10,12,8,3,6,7,4,5,2]
[2,5,4,7,6,3,8,12,9,10,11,1]=>[1,11,10,9,12,8,3,6,7,4,5,2]
[8,5,4,7,6,3,10,9,2,12,11,1]=>[1,11,12,2,9,10,3,6,7,4,5,8]
[1,5,4,7,6,3,11,9,2,10,8,12]=>[12,8,10,2,9,11,3,6,7,4,5,1]
[1,5,4,7,6,3,11,8,9,10,2,12]=>[12,2,10,9,8,11,3,6,7,4,5,1]
[2,7,4,9,6,3,8,5,10,12,11,1]=>[1,11,12,10,5,8,3,6,9,4,7,2]
[1,7,4,9,6,3,8,5,11,10,2,12]=>[12,2,10,11,5,8,3,6,9,4,7,1]
[1,2,4,10,6,3,8,5,9,7,11,12]=>[12,11,7,9,5,8,3,6,10,4,2,1]
[1,2,4,10,6,3,7,8,9,5,11,12]=>[12,11,5,9,8,7,3,6,10,4,2,1]
[2,5,4,9,6,7,8,3,10,12,11,1]=>[1,11,12,10,3,8,7,6,9,4,5,2]
[1,5,4,9,6,7,8,3,11,10,2,12]=>[12,2,10,11,3,8,7,6,9,4,5,1]
[1,2,4,10,6,7,8,3,9,5,11,12]=>[12,11,5,9,3,8,7,6,10,4,2,1]
[1,2,4,10,5,7,9,8,6,3,11,12]=>[12,11,3,6,8,9,7,5,10,4,2,1]
[1,2,4,10,5,6,7,8,9,3,11,12]=>[12,11,3,9,8,7,6,5,10,4,2,1]
[2,3,4,5,6,7,8,12,10,1,11,9]=>[9,11,1,10,12,8,7,6,5,4,3,2]
[2,3,4,5,6,7,8,12,9,10,11,1]=>[1,11,10,9,12,8,7,6,5,4,3,2]
[8,3,4,5,6,7,10,9,2,12,11,1]=>[1,11,12,2,9,10,7,6,5,4,3,8]
[1,3,4,5,6,7,11,9,2,10,8,12]=>[12,8,10,2,9,11,7,6,5,4,3,1]
[1,3,4,5,6,7,11,8,9,10,2,12]=>[12,2,10,9,8,11,7,6,5,4,3,1]
[2,7,4,5,6,9,8,3,10,12,11,1]=>[1,11,12,10,3,8,9,6,5,4,7,2]
[1,7,4,5,6,9,8,3,11,10,2,12]=>[12,2,10,11,3,8,9,6,5,4,7,1]
[1,2,4,5,6,10,8,3,9,7,11,12]=>[12,11,7,9,3,8,10,6,5,4,2,1]
[1,2,4,5,6,10,7,8,9,3,11,12]=>[12,11,3,9,8,7,10,6,5,4,2,1]
[2,3,6,5,8,7,4,9,10,12,11,1]=>[1,11,12,10,9,4,7,8,5,6,3,2]
[1,3,6,5,8,7,4,9,11,10,2,12]=>[12,2,10,11,9,4,7,8,5,6,3,1]
[1,2,6,5,8,7,4,10,9,3,11,12]=>[12,11,3,9,10,4,7,8,5,6,2,1]
[1,2,3,5,9,7,4,8,6,10,11,12]=>[12,11,10,6,8,4,7,9,5,3,2,1]
[1,2,3,5,9,6,7,8,4,10,11,12]=>[12,11,10,4,8,7,6,9,5,3,2,1]
[2,3,4,5,6,7,8,9,10,12,11,1]=>[1,11,12,10,9,8,7,6,5,4,3,2]
[1,3,4,5,6,7,8,9,11,10,2,12]=>[12,2,10,11,9,8,7,6,5,4,3,1]
[1,2,4,5,6,7,8,10,9,3,11,12]=>[12,11,3,9,10,8,7,6,5,4,2,1]
[1,2,3,5,6,7,9,8,4,10,11,12]=>[12,11,10,4,8,9,7,6,5,3,2,1]
[1,2,3,4,6,8,7,5,9,10,11,12]=>[12,11,10,9,5,7,8,6,4,3,2,1]
[3,4,5,6,7,8,9,10,12,11,1,2]=>[2,1,11,12,10,9,8,7,6,5,4,3]
[1,3,2,4,5,6,7,8,9,10,12,11]=>[11,12,10,9,8,7,6,5,4,2,3,1]
[2,7,6,1,3,10,5,4,12,9,11,8]=>[8,11,9,12,4,5,10,3,1,6,7,2]
[7,4,1,5,10,3,2,6,12,9,11,8]=>[8,11,9,12,6,2,3,10,5,1,4,7]
[2,7,9,1,3,8,5,12,6,4,11,10]=>[10,11,4,6,12,5,8,3,1,9,7,2]
[10,1,4,9,8,3,5,12,7,6,11,2]=>[2,11,6,7,12,5,3,8,9,4,1,10]
[7,4,1,9,8,3,2,12,5,6,11,10]=>[10,11,6,5,12,2,3,8,9,1,4,7]
[2,3,9,8,1,4,5,12,6,7,11,10]=>[10,11,7,6,12,5,4,1,8,9,3,2]
[10,1,9,6,3,7,12,5,4,8,11,2]=>[2,11,8,4,5,12,7,3,6,9,1,10]
[2,9,6,1,3,7,12,5,8,4,11,10]=>[10,11,4,8,5,12,7,3,1,6,9,2]
[9,8,1,5,7,3,12,6,4,2,11,10]=>[10,11,2,4,6,12,3,7,5,1,8,9]
[2,8,4,7,1,3,12,6,5,9,11,10]=>[10,11,9,5,6,12,3,1,7,4,8,2]
[9,4,1,5,6,12,3,7,2,8,11,10]=>[10,11,8,2,7,3,12,6,5,1,4,9]
[8,3,5,1,6,12,4,2,7,9,11,10]=>[10,11,9,7,2,4,12,6,1,5,3,8]
[2,7,6,1,3,12,5,4,10,9,11,8]=>[8,11,9,10,4,5,12,3,1,6,7,2]
[7,4,1,5,12,3,2,6,10,9,11,8]=>[8,11,9,10,6,2,3,12,5,1,4,7]
[2,7,9,1,3,11,5,10,6,8,4,12]=>[12,4,8,6,10,5,11,3,1,9,7,2]
[12,1,4,9,11,3,5,10,7,8,6,2]=>[2,6,8,7,10,5,3,11,9,4,1,12]
[7,4,1,9,11,3,2,10,5,8,6,12]=>[12,6,8,5,10,2,3,11,9,1,4,7]
[2,3,9,11,1,4,5,10,6,8,7,12]=>[12,7,8,6,10,5,4,1,11,9,3,2]
[4,1,12,3,6,11,10,5,7,9,8,2]=>[2,8,9,7,5,10,11,6,3,12,1,4]
[2,12,1,3,6,11,10,5,7,9,8,4]=>[4,8,9,7,5,10,11,6,3,1,12,2]
[12,1,9,6,3,11,10,5,4,7,8,2]=>[2,8,7,4,5,10,11,3,6,9,1,12]
[5,9,1,6,2,11,10,4,7,3,8,12]=>[12,8,3,7,4,10,11,2,6,1,9,5]
[2,9,6,1,3,11,10,5,7,4,8,12]=>[12,8,4,7,5,10,11,3,1,6,9,2]
[9,8,1,5,11,3,10,6,4,7,2,12]=>[12,2,7,4,6,10,3,11,5,1,8,9]
[2,8,4,11,1,3,10,6,5,7,9,12]=>[12,9,7,5,6,10,3,1,11,4,8,2]
[12,1,4,5,11,10,3,6,7,8,9,2]=>[2,9,8,7,6,3,10,11,5,4,1,12]
[9,4,1,5,11,10,3,6,2,8,7,12]=>[12,7,8,2,6,3,10,11,5,1,4,9]
[8,3,5,1,11,10,4,2,6,9,7,12]=>[12,7,9,6,2,4,10,11,1,5,3,8]
[7,3,4,11,1,10,2,5,6,9,8,12]=>[12,8,9,6,5,2,10,1,11,4,3,7]
[2,3,4,11,10,1,5,6,7,9,8,12]=>[12,8,9,7,6,5,1,10,11,4,3,2]
[2,7,11,1,3,8,5,9,6,10,4,12]=>[12,4,10,6,9,5,8,3,1,11,7,2]
[12,1,4,11,8,3,5,9,7,10,6,2]=>[2,6,10,7,9,5,3,8,11,4,1,12]
[7,4,1,11,8,3,2,9,5,10,6,12]=>[12,6,10,5,9,2,3,8,11,1,4,7]
[2,3,11,8,1,4,5,9,6,10,7,12]=>[12,7,10,6,9,5,4,1,8,11,3,2]
[12,1,11,10,3,7,9,5,6,4,8,2]=>[2,8,4,6,5,9,7,3,10,11,1,12]
[2,11,10,1,3,7,9,5,6,8,4,12]=>[12,4,8,6,5,9,7,3,1,10,11,2]
[11,8,1,10,7,3,9,5,2,4,6,12]=>[12,6,4,2,5,9,3,7,10,1,8,11]
[2,8,10,7,1,3,9,4,5,6,11,12]=>[12,11,6,5,4,9,3,1,7,10,8,2]
[12,1,4,10,6,9,3,5,8,7,11,2]=>[2,11,7,8,5,3,9,6,10,4,1,12]
[11,4,1,10,6,9,3,5,8,2,7,12]=>[12,7,2,8,5,3,9,6,10,1,4,11]
[8,3,10,1,6,9,4,2,5,7,11,12]=>[12,11,7,5,2,4,9,6,1,10,3,8]
[7,3,10,6,1,9,2,4,8,5,11,12]=>[12,11,5,8,4,2,9,1,6,10,3,7]
[2,3,10,5,9,1,4,6,7,8,11,12]=>[12,11,8,7,6,4,1,9,5,10,3,2]
[2,11,6,1,3,7,8,5,9,10,4,12]=>[12,4,10,9,5,8,7,3,1,6,11,2]
[11,10,1,5,7,3,8,4,9,2,6,12]=>[12,6,2,9,4,8,3,7,5,1,10,11]
[2,10,4,7,1,3,8,6,9,5,11,12]=>[12,11,5,9,6,8,3,1,7,4,10,2]
[11,9,1,5,6,8,3,4,2,10,7,12]=>[12,7,10,2,4,3,8,6,5,1,9,11]
[10,9,5,1,6,8,3,7,2,4,11,12]=>[12,11,4,2,7,3,8,6,1,5,9,10]
[2,9,4,5,8,1,3,7,6,10,11,12]=>[12,11,10,6,7,3,1,8,5,4,9,2]
[9,2,1,4,3,6,5,8,7,10,11,12]=>[12,11,10,7,8,5,6,3,4,1,2,9]
[7,2,1,4,3,6,5,10,11,9,8,12]=>[12,8,9,11,10,5,6,3,4,1,2,7]
[7,2,1,4,3,6,5,8,9,10,11,12]=>[12,11,10,9,8,5,6,3,4,1,2,7]
[9,2,1,4,3,8,7,6,5,10,11,12]=>[12,11,10,5,6,7,8,3,4,1,2,9]
[5,2,1,4,3,10,11,7,6,9,8,12]=>[12,8,9,6,7,11,10,3,4,1,2,5]
[5,2,1,4,3,8,9,7,6,10,11,12]=>[12,11,10,6,7,9,8,3,4,1,2,5]
[5,2,1,4,3,10,11,9,8,7,6,12]=>[12,6,7,8,9,11,10,3,4,1,2,5]
[5,2,1,4,3,6,9,10,11,8,7,12]=>[12,7,8,11,10,9,6,3,4,1,2,5]
[5,2,1,4,3,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,3,4,1,2,5]
[9,2,1,6,5,4,3,8,7,10,11,12]=>[12,11,10,7,8,3,4,5,6,1,2,9]
[7,2,1,6,5,4,3,10,11,9,8,12]=>[12,8,9,11,10,3,4,5,6,1,2,7]
[7,2,1,6,5,4,3,8,9,10,11,12]=>[12,11,10,9,8,3,4,5,6,1,2,7]
[9,2,1,8,5,4,7,6,3,10,11,12]=>[12,11,10,3,6,7,4,5,8,1,2,9]
[3,2,1,10,11,5,4,7,6,9,8,12]=>[12,8,9,6,7,4,5,11,10,1,2,3]
[3,2,1,8,9,5,4,7,6,10,11,12]=>[12,11,10,6,7,4,5,9,8,1,2,3]
[3,2,1,10,11,5,4,9,8,7,6,12]=>[12,6,7,8,9,4,5,11,10,1,2,3]
[3,2,1,6,9,5,4,10,11,8,7,12]=>[12,7,8,11,10,4,5,9,6,1,2,3]
[3,2,1,6,7,5,4,8,9,10,11,12]=>[12,11,10,9,8,4,5,7,6,1,2,3]
[9,2,1,8,7,6,5,4,3,10,11,12]=>[12,11,10,3,4,5,6,7,8,1,2,9]
[3,2,1,10,11,7,6,5,4,9,8,12]=>[12,8,9,4,5,6,7,11,10,1,2,3]
[3,2,1,8,9,7,6,5,4,10,11,12]=>[12,11,10,4,5,6,7,9,8,1,2,3]
[3,2,1,10,11,9,6,5,8,7,4,12]=>[12,4,7,8,5,6,9,11,10,1,2,3]
[3,2,1,4,9,10,11,6,5,8,7,12]=>[12,7,8,5,6,11,10,9,4,1,2,3]
[3,2,1,4,7,8,9,6,5,10,11,12]=>[12,11,10,5,6,9,8,7,4,1,2,3]
[3,2,1,10,11,9,8,7,6,5,4,12]=>[12,4,5,6,7,8,9,11,10,1,2,3]
[3,2,1,4,9,10,11,8,7,6,5,12]=>[12,5,6,7,8,11,10,9,4,1,2,3]
[3,2,1,4,5,8,9,10,11,7,6,12]=>[12,6,7,11,10,9,8,5,4,1,2,3]
[9,4,3,2,1,6,5,8,7,10,11,12]=>[12,11,10,7,8,5,6,1,2,3,4,9]
[7,4,3,2,1,6,5,10,11,9,8,12]=>[12,8,9,11,10,5,6,1,2,3,4,7]
[7,4,3,2,1,6,5,8,9,10,11,12]=>[12,11,10,9,8,5,6,1,2,3,4,7]
[9,4,3,2,1,8,7,6,5,10,11,12]=>[12,11,10,5,6,7,8,1,2,3,4,9]
[5,4,3,2,1,10,11,7,6,9,8,12]=>[12,8,9,6,7,11,10,1,2,3,4,5]
[5,4,3,2,1,8,9,7,6,10,11,12]=>[12,11,10,6,7,9,8,1,2,3,4,5]
[5,4,3,2,1,10,11,9,8,7,6,12]=>[12,6,7,8,9,11,10,1,2,3,4,5]
[5,4,3,2,1,6,9,10,11,8,7,12]=>[12,7,8,11,10,9,6,1,2,3,4,5]
[9,6,3,2,5,4,1,8,7,10,11,12]=>[12,11,10,7,8,1,4,5,2,3,6,9]
[7,6,3,2,5,4,1,10,11,9,8,12]=>[12,8,9,11,10,1,4,5,2,3,6,7]
[7,6,3,2,5,4,1,8,9,10,11,12]=>[12,11,10,9,8,1,4,5,2,3,6,7]
[9,8,3,2,5,4,7,6,1,10,11,12]=>[12,11,10,1,6,7,4,5,2,3,8,9]
[1,10,11,3,2,5,4,7,6,9,8,12]=>[12,8,9,6,7,4,5,2,3,11,10,1]
[1,8,9,3,2,5,4,7,6,10,11,12]=>[12,11,10,6,7,4,5,2,3,9,8,1]
[1,10,11,3,2,5,4,9,8,7,6,12]=>[12,6,7,8,9,4,5,2,3,11,10,1]
[1,6,9,3,2,5,4,10,11,8,7,12]=>[12,7,8,11,10,4,5,2,3,9,6,1]
[1,6,7,3,2,5,4,8,9,10,11,12]=>[12,11,10,9,8,4,5,2,3,7,6,1]
[9,8,3,2,7,6,5,4,1,10,11,12]=>[12,11,10,1,4,5,6,7,2,3,8,9]
[1,10,11,3,2,7,6,5,4,9,8,12]=>[12,8,9,4,5,6,7,2,3,11,10,1]
[1,8,9,3,2,7,6,5,4,10,11,12]=>[12,11,10,4,5,6,7,2,3,9,8,1]
[1,10,11,3,2,9,6,5,8,7,4,12]=>[12,4,7,8,5,6,9,2,3,11,10,1]
[1,4,9,3,2,10,11,6,5,8,7,12]=>[12,7,8,5,6,11,10,2,3,9,4,1]
[1,4,7,3,2,8,9,6,5,10,11,12]=>[12,11,10,5,6,9,8,2,3,7,4,1]
[1,10,11,3,2,9,8,7,6,5,4,12]=>[12,4,5,6,7,8,9,2,3,11,10,1]
[1,4,9,3,2,10,11,8,7,6,5,12]=>[12,5,6,7,8,11,10,2,3,9,4,1]
[1,4,5,3,2,8,9,10,11,7,6,12]=>[12,6,7,11,10,9,8,2,3,5,4,1]
[1,4,5,3,2,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,2,3,5,4,1]
[9,6,5,4,3,2,1,8,7,10,11,12]=>[12,11,10,7,8,1,2,3,4,5,6,9]
[7,6,5,4,3,2,1,10,11,9,8,12]=>[12,8,9,11,10,1,2,3,4,5,6,7]
[9,8,5,4,3,2,7,6,1,10,11,12]=>[12,11,10,1,6,7,2,3,4,5,8,9]
[1,10,11,5,4,3,2,7,6,9,8,12]=>[12,8,9,6,7,2,3,4,5,11,10,1]
[1,8,9,5,4,3,2,7,6,10,11,12]=>[12,11,10,6,7,2,3,4,5,9,8,1]
[1,10,11,5,4,3,2,9,8,7,6,12]=>[12,6,7,8,9,2,3,4,5,11,10,1]
[1,6,9,5,4,3,2,10,11,8,7,12]=>[12,7,8,11,10,2,3,4,5,9,6,1]
[1,6,7,5,4,3,2,8,9,10,11,12]=>[12,11,10,9,8,2,3,4,5,7,6,1]
[9,8,7,4,3,6,5,2,1,10,11,12]=>[12,11,10,1,2,5,6,3,4,7,8,9]
[1,10,11,7,4,3,6,5,2,9,8,12]=>[12,8,9,2,5,6,3,4,7,11,10,1]
[1,8,9,7,4,3,6,5,2,10,11,12]=>[12,11,10,2,5,6,3,4,7,9,8,1]
[1,10,11,9,4,3,6,5,8,7,2,12]=>[12,2,7,8,5,6,3,4,9,11,10,1]
[1,2,9,10,11,4,3,6,5,8,7,12]=>[12,7,8,5,6,3,4,11,10,9,2,1]
[1,2,7,8,9,4,3,6,5,10,11,12]=>[12,11,10,5,6,3,4,9,8,7,2,1]
[1,10,11,9,4,3,8,7,6,5,2,12]=>[12,2,5,6,7,8,3,4,9,11,10,1]
[1,2,9,10,11,4,3,8,7,6,5,12]=>[12,5,6,7,8,3,4,11,10,9,2,1]
[1,2,5,8,9,4,3,10,11,7,6,12]=>[12,6,7,11,10,3,4,9,8,5,2,1]
[1,2,5,6,7,4,3,8,9,10,11,12]=>[12,11,10,9,8,3,4,7,6,5,2,1]
[1,10,11,7,6,5,4,3,2,9,8,12]=>[12,8,9,2,3,4,5,6,7,11,10,1]
[1,8,9,7,6,5,4,3,2,10,11,12]=>[12,11,10,2,3,4,5,6,7,9,8,1]
[1,10,11,9,6,5,4,3,8,7,2,12]=>[12,2,7,8,3,4,5,6,9,11,10,1]
[1,2,9,10,11,6,5,4,3,8,7,12]=>[12,7,8,3,4,5,6,11,10,9,2,1]
[1,2,7,8,9,6,5,4,3,10,11,12]=>[12,11,10,3,4,5,6,9,8,7,2,1]
[1,10,11,9,8,5,4,7,6,3,2,12]=>[12,2,3,6,7,4,5,8,9,11,10,1]
[1,2,9,10,11,8,5,4,7,6,3,12]=>[12,3,6,7,4,5,8,11,10,9,2,1]
[1,2,3,8,9,10,11,5,4,7,6,12]=>[12,6,7,4,5,11,10,9,8,3,2,1]
[1,2,3,6,7,8,9,5,4,10,11,12]=>[12,11,10,4,5,9,8,7,6,3,2,1]
[1,10,11,9,8,7,6,5,4,3,2,12]=>[12,2,3,4,5,6,7,8,9,11,10,1]
[1,2,9,10,11,8,7,6,5,4,3,12]=>[12,3,4,5,6,7,8,11,10,9,2,1]
[1,2,3,8,9,10,11,7,6,5,4,12]=>[12,4,5,6,7,11,10,9,8,3,2,1]
[1,2,3,4,7,8,9,10,11,6,5,12]=>[12,5,6,11,10,9,8,7,4,3,2,1]
[11,12,1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1,12,11]
[11,1,2,3,4,5,6,7,8,10,12,9]=>[9,12,10,8,7,6,5,4,3,2,1,11]
[4,1,6,3,9,5,10,7,12,2,11,8]=>[8,11,2,12,7,10,5,9,3,6,1,4]
[4,1,6,3,9,5,7,11,12,10,2,8]=>[8,2,10,12,11,7,5,9,3,6,1,4]
[4,1,7,3,8,5,10,2,12,9,11,6]=>[6,11,9,12,2,10,5,8,3,7,1,4]
[4,1,7,3,8,5,11,2,9,10,12,6]=>[6,12,10,9,2,11,5,8,3,7,1,4]
[4,1,7,3,9,12,10,5,6,8,11,2]=>[2,11,8,6,5,10,12,9,3,7,1,4]
[4,1,7,3,5,9,11,12,2,10,8,6]=>[6,8,10,2,12,11,9,5,3,7,1,4]
[4,1,7,3,5,10,11,8,9,2,12,6]=>[6,12,2,9,8,11,10,5,3,7,1,4]
[5,1,6,3,8,2,10,7,12,9,11,4]=>[4,11,9,12,7,10,2,8,3,6,1,5]
[5,1,6,3,8,2,11,7,9,10,12,4]=>[4,12,10,9,7,11,2,8,3,6,1,5]
[5,1,6,3,9,2,10,7,12,4,11,8]=>[8,11,4,12,7,10,2,9,3,6,1,5]
[5,1,6,3,9,2,7,11,12,10,4,8]=>[8,4,10,12,11,7,2,9,3,6,1,5]
[5,1,6,3,10,2,7,8,9,11,12,4]=>[4,12,11,9,8,7,2,10,3,6,1,5]
[5,1,7,10,8,3,4,6,12,9,11,2]=>[2,11,9,12,6,4,3,8,10,7,1,5]
[5,1,7,11,8,3,4,6,9,10,12,2]=>[2,12,10,9,6,4,3,8,11,7,1,5]
[5,1,7,12,9,10,4,2,6,3,11,8]=>[8,11,3,6,2,4,10,9,12,7,1,5]
[5,1,3,7,9,11,2,12,6,10,8,4]=>[4,8,10,6,12,2,11,9,7,3,1,5]
[5,1,3,7,10,11,2,8,9,6,12,4]=>[4,12,6,9,8,2,11,10,7,3,1,5]
[5,1,8,12,9,3,4,7,10,6,11,2]=>[2,11,6,10,7,4,3,9,12,8,1,5]
[5,1,3,8,9,11,6,2,12,10,4,7]=>[7,4,10,12,2,6,11,9,8,3,1,5]
[5,1,3,8,10,6,11,2,9,12,4,7]=>[7,4,12,9,2,11,6,10,8,3,1,5]
[5,1,3,9,10,6,7,8,2,11,12,4]=>[4,12,11,2,8,7,6,10,9,3,1,5]
[6,1,7,9,4,12,10,3,8,2,11,5]=>[5,11,2,8,3,10,12,4,9,7,1,6]
[6,1,3,7,4,9,11,12,5,10,8,2]=>[2,8,10,5,12,11,9,4,7,3,1,6]
[6,1,8,3,9,12,4,10,7,2,11,5]=>[5,11,2,7,10,4,12,9,3,8,1,6]
[6,1,3,8,9,12,4,11,7,10,2,5]=>[5,2,10,7,11,4,12,9,8,3,1,6]
[6,1,3,4,8,10,11,12,9,5,2,7]=>[7,2,5,9,12,11,10,8,4,3,1,6]
[7,1,8,3,4,5,9,10,12,2,11,6]=>[6,11,2,12,10,9,5,4,3,8,1,7]
[7,1,3,8,4,5,9,11,12,10,2,6]=>[6,2,10,12,11,9,5,4,8,3,1,7]
[7,1,3,4,8,5,10,11,9,12,2,6]=>[6,2,12,9,11,10,5,8,4,3,1,7]
[7,1,3,4,5,9,10,8,11,12,2,6]=>[6,2,12,11,8,10,9,5,4,3,1,7]
[6,1,4,2,8,5,10,7,12,9,11,3]=>[3,11,9,12,7,10,5,8,2,4,1,6]
[6,1,4,2,8,5,11,7,9,10,12,3]=>[3,12,10,9,7,11,5,8,2,4,1,6]
[6,1,4,2,9,5,10,7,12,3,11,8]=>[8,11,3,12,7,10,5,9,2,4,1,6]
[6,1,4,2,9,5,7,11,12,10,3,8]=>[8,3,10,12,11,7,5,9,2,4,1,6]
[6,1,4,2,10,5,7,8,9,11,12,3]=>[3,12,11,9,8,7,5,10,2,4,1,6]
[7,1,4,2,8,5,10,3,12,9,11,6]=>[6,11,9,12,3,10,5,8,2,4,1,7]
[7,1,4,2,8,5,11,3,9,10,12,6]=>[6,12,10,9,3,11,5,8,2,4,1,7]
[7,1,4,2,9,12,10,5,6,8,11,3]=>[3,11,8,6,5,10,12,9,2,4,1,7]
[7,1,4,2,5,9,11,12,3,10,8,6]=>[6,8,10,3,12,11,9,5,2,4,1,7]
[7,1,4,2,5,10,11,8,9,3,12,6]=>[6,12,3,9,8,11,10,5,2,4,1,7]
[8,1,4,2,9,5,6,10,12,7,11,3]=>[3,11,7,12,10,6,5,9,2,4,1,8]
[8,1,4,2,5,9,6,11,12,10,7,3]=>[3,7,10,12,11,6,9,5,2,4,1,8]
[8,1,4,2,5,6,10,11,9,12,7,3]=>[3,7,12,9,11,10,6,5,2,4,1,8]
[9,1,4,2,5,6,7,8,10,11,12,3]=>[3,12,11,10,8,7,6,5,2,4,1,9]
[8,6,5,1,4,3,10,7,12,9,11,2]=>[2,11,9,12,7,10,3,4,1,5,6,8]
[8,6,5,1,4,3,11,7,9,10,12,2]=>[2,12,10,9,7,11,3,4,1,5,6,8]
[9,6,5,1,4,3,10,7,12,2,11,8]=>[8,11,2,12,7,10,3,4,1,5,6,9]
[9,6,5,1,4,3,7,11,12,10,2,8]=>[8,2,10,12,11,7,3,4,1,5,6,9]
[10,6,5,1,4,3,7,8,9,11,12,2]=>[2,12,11,9,8,7,3,4,1,5,6,10]
[10,7,5,8,2,1,6,3,12,9,11,4]=>[4,11,9,12,3,6,1,2,8,5,7,10]
[11,7,5,8,2,1,6,3,9,10,12,4]=>[4,12,10,9,3,6,1,2,8,5,7,11]
[12,7,5,9,2,10,4,1,8,3,11,6]=>[6,11,3,8,1,4,10,2,9,5,7,12]
[1,7,5,9,2,11,4,12,6,10,8,3]=>[3,8,10,6,12,4,11,2,9,5,7,1]
[1,7,5,10,2,11,4,8,9,6,12,3]=>[3,12,6,9,8,4,11,2,10,5,7,1]
[12,8,5,9,2,1,3,6,10,7,11,4]=>[4,11,7,10,6,3,1,2,9,5,8,12]
[1,8,5,9,2,11,6,4,12,10,3,7]=>[7,3,10,12,4,6,11,2,9,5,8,1]
[1,8,5,10,2,6,11,4,9,12,3,7]=>[7,3,12,9,4,11,6,2,10,5,8,1]
[1,9,5,10,2,6,7,8,4,11,12,3]=>[3,12,11,4,8,7,6,2,10,5,9,1]
[10,7,6,1,2,5,8,4,12,9,11,3]=>[3,11,9,12,4,8,5,2,1,6,7,10]
[11,7,6,1,2,5,8,4,9,10,12,3]=>[3,12,10,9,4,8,5,2,1,6,7,11]
[12,7,6,9,4,2,10,1,8,5,11,3]=>[3,11,5,8,1,10,2,4,9,6,7,12]
[1,7,6,9,4,2,11,12,3,10,8,5]=>[5,8,10,3,12,11,2,4,9,6,7,1]
[1,7,6,10,4,2,11,8,9,3,12,5]=>[5,12,3,9,8,11,2,4,10,6,7,1]
[12,8,6,1,9,4,2,10,7,3,11,5]=>[5,11,3,7,10,2,4,9,1,6,8,12]
[1,8,6,9,12,2,4,11,5,10,7,3]=>[3,7,10,5,11,4,2,12,9,6,8,1]
[1,8,6,4,10,2,11,12,9,3,5,7]=>[7,5,3,9,12,11,2,10,4,6,8,1]
[1,9,6,4,10,2,7,8,11,3,12,5]=>[5,12,3,11,8,7,2,10,4,6,9,1]
[12,8,7,1,2,3,5,9,10,4,11,6]=>[6,11,4,10,9,5,3,2,1,7,8,12]
[1,8,7,9,4,5,2,11,12,10,6,3]=>[3,6,10,12,11,2,5,4,9,7,8,1]
[1,8,7,4,10,5,2,11,9,12,6,3]=>[3,6,12,9,11,2,5,10,4,7,8,1]
[1,9,7,4,5,10,2,8,11,12,6,3]=>[3,6,12,11,8,2,10,5,4,7,9,1]
[1,9,8,4,5,6,7,2,10,11,12,3]=>[3,12,11,10,2,7,6,5,4,8,9,1]
[8,1,2,5,6,3,10,7,12,9,11,4]=>[4,11,9,12,7,10,3,6,5,2,1,8]
[8,1,2,5,6,3,11,7,9,10,12,4]=>[4,12,10,9,7,11,3,6,5,2,1,8]
[9,1,2,5,6,3,10,7,12,4,11,8]=>[8,11,4,12,7,10,3,6,5,2,1,9]
[9,1,2,5,6,3,7,11,12,10,4,8]=>[8,4,10,12,11,7,3,6,5,2,1,9]
[10,1,2,5,6,3,7,8,9,11,12,4]=>[4,12,11,9,8,7,3,6,5,2,1,10]
[10,8,2,5,7,1,6,4,12,9,11,3]=>[3,11,9,12,4,6,1,7,5,2,8,10]
[11,8,2,5,7,1,6,4,9,10,12,3]=>[3,12,10,9,4,6,1,7,5,2,8,11]
[12,9,2,5,7,10,3,1,8,4,11,6]=>[6,11,4,8,1,3,10,7,5,2,9,12]
[1,9,2,5,7,11,3,12,6,10,8,4]=>[4,8,10,6,12,3,11,7,5,2,9,1]
[1,10,2,5,7,11,3,8,9,6,12,4]=>[4,12,6,9,8,3,11,7,5,2,10,1]
[12,9,2,5,8,1,3,7,10,6,11,4]=>[4,11,6,10,7,3,1,8,5,2,9,12]
[1,9,2,5,8,11,6,3,12,10,4,7]=>[7,4,10,12,3,6,11,8,5,2,9,1]
[1,10,2,5,8,6,11,3,9,12,4,7]=>[7,4,12,9,3,11,6,8,5,2,10,1]
[1,10,2,5,9,6,7,8,3,11,12,4]=>[4,12,11,3,8,7,6,9,5,2,10,1]
[10,1,8,6,2,7,5,4,12,9,11,3]=>[3,11,9,12,4,5,7,2,6,8,1,10]
[11,1,8,6,2,7,5,4,9,10,12,3]=>[3,12,10,9,4,5,7,2,6,8,1,11]
[12,10,9,6,2,7,5,1,8,3,11,4]=>[4,11,3,8,1,5,7,2,6,9,10,12]
[1,11,9,6,2,7,5,12,4,10,8,3]=>[3,8,10,4,12,5,7,2,6,9,11,1]
[1,11,10,6,2,7,5,8,9,4,12,3]=>[3,12,4,9,8,5,7,2,6,10,11,1]
[12,1,9,6,8,10,2,4,7,3,11,5]=>[5,11,3,7,4,2,10,8,6,9,1,12]
[1,12,9,6,8,11,2,4,7,10,3,5]=>[5,3,10,7,4,2,11,8,6,9,12,1]
[1,2,10,6,8,11,12,3,9,4,7,5]=>[5,7,4,9,3,12,11,8,6,10,2,1]
[1,2,10,6,9,11,7,8,3,4,12,5]=>[5,12,4,3,8,7,11,9,6,10,2,1]
[12,1,9,7,2,3,8,6,10,5,11,4]=>[4,11,5,10,6,8,3,2,7,9,1,12]
[1,12,9,7,2,3,8,6,11,10,5,4]=>[4,5,10,11,6,8,3,2,7,9,12,1]
[1,2,10,7,8,5,11,3,9,12,6,4]=>[4,6,12,9,3,11,5,8,7,10,2,1]
[1,2,10,7,5,9,11,8,3,12,6,4]=>[4,6,12,3,8,11,9,5,7,10,2,1]
[1,2,10,8,5,6,7,9,3,11,12,4]=>[4,12,11,3,9,7,6,5,8,10,2,1]
[10,1,2,3,6,7,8,4,12,9,11,5]=>[5,11,9,12,4,8,7,6,3,2,1,10]
[11,1,2,3,6,7,8,4,9,10,12,5]=>[5,12,10,9,4,8,7,6,3,2,1,11]
[12,10,2,3,6,7,9,1,8,5,11,4]=>[4,11,5,8,1,9,7,6,3,2,10,12]
[1,11,2,3,6,7,9,12,4,10,8,5]=>[5,8,10,4,12,9,7,6,3,2,11,1]
[1,11,2,3,6,7,10,8,9,4,12,5]=>[5,12,4,9,8,10,7,6,3,2,11,1]
[12,1,10,3,6,8,2,9,7,5,11,4]=>[4,11,5,7,9,2,8,6,3,10,1,12]
[1,12,11,3,6,8,2,9,7,10,5,4]=>[4,5,10,7,9,2,8,6,3,11,12,1]
[1,2,11,3,6,8,10,12,9,4,5,7]=>[7,5,4,9,12,10,8,6,3,11,2,1]
[1,2,11,3,6,9,7,8,10,4,12,5]=>[5,12,4,10,8,7,9,6,3,11,2,1]
[12,1,2,10,7,3,8,9,6,5,11,4]=>[4,11,5,6,9,8,3,7,10,2,1,12]
[1,12,2,11,7,3,8,9,6,10,5,4]=>[4,5,10,6,9,8,3,7,11,2,12,1]
[1,2,12,11,7,3,8,10,9,6,5,4]=>[4,5,6,9,10,8,3,7,11,12,2,1]
[1,2,3,11,7,9,10,8,12,4,6,5]=>[5,6,4,12,8,10,9,7,11,3,2,1]
[1,2,3,11,8,6,7,9,10,4,12,5]=>[5,12,4,10,9,7,6,8,11,3,2,1]
[12,1,2,3,4,7,8,9,10,5,11,6]=>[6,11,5,10,9,8,7,4,3,2,1,12]
[1,12,2,3,4,7,8,9,11,10,5,6]=>[6,5,10,11,9,8,7,4,3,2,12,1]
[1,2,12,3,4,7,8,10,9,11,5,6]=>[6,5,11,9,10,8,7,4,3,12,2,1]
[1,2,3,12,4,7,9,8,10,11,5,6]=>[6,5,11,10,8,9,7,4,12,3,2,1]
[1,2,3,4,12,8,7,9,10,11,5,6]=>[6,5,11,10,9,7,8,12,4,3,2,1]
[2,12,1,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,1,12,2]
[12,2,11,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,11,2,12]
[10,9,7,8,12,11,2,1,4,3,6,5]=>[5,6,3,4,1,2,11,12,8,7,9,10]
[8,7,12,11,9,10,2,1,4,3,6,5]=>[5,6,3,4,1,2,10,9,11,12,7,8]
[12,9,7,11,8,10,2,1,4,3,6,5]=>[5,6,3,4,1,2,10,8,11,7,9,12]
[12,11,10,7,8,9,2,1,4,3,6,5]=>[5,6,3,4,1,2,9,8,7,10,11,12]
[6,5,9,8,10,11,12,1,3,2,7,4]=>[4,7,2,3,1,12,11,10,8,9,5,6]
[9,8,5,6,10,11,12,1,3,2,7,4]=>[4,7,2,3,1,12,11,10,6,5,8,9]
[6,5,10,9,8,12,11,1,3,2,7,4]=>[4,7,2,3,1,11,12,8,9,10,5,6]
[10,8,5,9,6,12,11,1,3,2,7,4]=>[4,7,2,3,1,11,12,6,9,5,8,10]
[11,9,8,5,6,12,10,1,3,2,7,4]=>[4,7,2,3,1,10,12,6,5,8,9,11]
[6,5,11,9,7,8,10,12,2,1,4,3]=>[3,4,1,2,12,10,8,7,9,11,5,6]
[11,6,5,9,8,7,10,12,2,1,4,3]=>[3,4,1,2,12,10,7,8,9,5,6,11]
[11,10,6,5,8,7,9,12,2,1,4,3]=>[3,4,1,2,12,9,7,8,5,6,10,11]
[12,10,8,6,5,7,9,11,2,1,4,3]=>[3,4,1,2,11,9,7,5,6,8,10,12]
[8,7,10,9,12,11,4,3,1,2,6,5]=>[5,6,2,1,3,4,11,12,9,10,7,8]
[10,9,7,8,12,11,4,3,1,2,6,5]=>[5,6,2,1,3,4,11,12,8,7,9,10]
[8,7,12,11,9,10,4,3,1,2,6,5]=>[5,6,2,1,3,4,10,9,11,12,7,8]
[12,9,7,11,8,10,4,3,1,2,6,5]=>[5,6,2,1,3,4,10,8,11,7,9,12]
[12,11,10,7,8,9,4,3,1,2,6,5]=>[5,6,2,1,3,4,9,8,7,10,11,12]
[8,6,10,9,2,11,12,4,1,3,7,5]=>[5,7,3,1,4,12,11,2,9,10,6,8]
[10,9,6,8,2,11,12,4,1,3,7,5]=>[5,7,3,1,4,12,11,2,8,6,9,10]
[6,3,8,10,9,12,11,4,1,2,7,5]=>[5,7,2,1,4,11,12,9,10,8,3,6]
[9,6,3,10,8,12,11,4,1,2,7,5]=>[5,7,2,1,4,11,12,8,10,3,6,9]
[11,9,3,6,8,12,10,4,1,2,7,5]=>[5,7,2,1,4,10,12,8,6,3,9,11]
[6,3,7,12,10,9,11,2,1,4,8,5]=>[5,8,4,1,2,11,9,10,12,7,3,6]
[9,6,3,12,10,7,11,2,1,4,8,5]=>[5,8,4,1,2,11,7,10,12,3,6,9]
[12,9,3,6,11,7,10,2,1,4,8,5]=>[5,8,4,1,2,10,7,11,6,3,9,12]
[11,10,3,8,6,7,9,2,12,1,5,4]=>[4,5,1,12,2,9,7,6,8,3,10,11]
[9,8,11,10,2,3,4,12,1,5,7,6]=>[6,7,5,1,12,4,3,2,10,11,8,9]
[11,10,8,9,2,3,4,12,1,5,7,6]=>[6,7,5,1,12,4,3,2,9,8,10,11]
[8,3,9,12,10,2,4,11,1,5,7,6]=>[6,7,5,1,11,4,2,10,12,9,3,8]
[10,8,3,12,9,2,4,11,1,5,7,6]=>[6,7,5,1,11,4,2,9,12,3,8,10]
[12,11,3,8,9,2,4,10,1,5,7,6]=>[6,7,5,1,10,4,2,9,8,3,11,12]
[4,3,7,9,11,10,2,12,1,5,8,6]=>[6,8,5,1,12,2,10,11,9,7,3,4]
[7,4,3,10,11,9,2,12,1,5,8,6]=>[6,8,5,1,12,2,9,11,10,3,4,7]
[10,7,3,4,12,9,2,11,1,5,8,6]=>[6,8,5,1,11,2,9,12,4,3,7,10]
[11,9,3,4,7,8,2,10,12,1,6,5]=>[5,6,1,12,10,2,8,7,4,3,9,11]
[4,3,5,6,9,10,11,12,1,2,8,7]=>[7,8,2,1,12,11,10,9,6,5,3,4]
[5,4,3,6,9,11,10,12,1,2,8,7]=>[7,8,2,1,12,10,11,9,6,3,4,5]
[6,5,3,4,9,12,10,11,1,2,8,7]=>[7,8,2,1,11,10,12,9,4,3,5,6]
[8,6,3,4,5,11,9,10,12,1,7,2]=>[2,7,1,12,10,9,11,5,4,3,6,8]
[10,7,3,4,5,6,9,11,12,1,8,2]=>[2,8,1,12,11,9,6,5,4,3,7,10]
[8,7,10,9,12,11,2,1,6,5,3,4]=>[4,3,5,6,1,2,11,12,9,10,7,8]
[10,9,7,8,12,11,2,1,6,5,3,4]=>[4,3,5,6,1,2,11,12,8,7,9,10]
[12,9,7,11,8,10,2,1,6,5,3,4]=>[4,3,5,6,1,2,10,8,11,7,9,12]
[12,11,10,7,8,9,2,1,6,5,3,4]=>[4,3,5,6,1,2,9,8,7,10,11,12]
[6,5,9,8,10,11,12,1,7,4,2,3]=>[3,2,4,7,1,12,11,10,8,9,5,6]
[9,8,5,6,10,11,12,1,7,4,2,3]=>[3,2,4,7,1,12,11,10,6,5,8,9]
[6,5,10,9,8,12,11,1,7,4,2,3]=>[3,2,4,7,1,11,12,8,9,10,5,6]
[10,8,5,9,6,12,11,1,7,4,2,3]=>[3,2,4,7,1,11,12,6,9,5,8,10]
[11,9,8,5,6,12,10,1,7,4,2,3]=>[3,2,4,7,1,10,12,6,5,8,9,11]
[6,5,11,9,7,8,10,12,4,3,1,2]=>[2,1,3,4,12,10,8,7,9,11,5,6]
[11,6,5,9,8,7,10,12,4,3,1,2]=>[2,1,3,4,12,10,7,8,9,5,6,11]
[11,10,6,5,8,7,9,12,4,3,1,2]=>[2,1,3,4,12,9,7,8,5,6,10,11]
[12,10,8,6,5,7,9,11,4,3,1,2]=>[2,1,3,4,11,9,7,5,6,8,10,12]
[8,7,10,9,12,11,6,3,1,5,2,4]=>[4,2,5,1,3,6,11,12,9,10,7,8]
[10,9,7,8,12,11,6,3,1,5,2,4]=>[4,2,5,1,3,6,11,12,8,7,9,10]
[8,7,12,11,9,10,6,3,1,5,2,4]=>[4,2,5,1,3,6,10,9,11,12,7,8]
[12,9,7,11,8,10,6,3,1,5,2,4]=>[4,2,5,1,3,6,10,8,11,7,9,12]
[12,11,10,7,8,9,6,3,1,5,2,4]=>[4,2,5,1,3,6,9,8,7,10,11,12]
[8,6,10,9,4,11,12,3,1,7,2,5]=>[5,2,7,1,3,12,11,4,9,10,6,8]
[10,9,6,8,4,11,12,3,1,7,2,5]=>[5,2,7,1,3,12,11,4,8,6,9,10]
[8,6,2,10,9,12,11,4,1,7,3,5]=>[5,3,7,1,4,11,12,9,10,2,6,8]
[1,9,6,10,8,12,11,4,2,7,3,5]=>[5,3,7,2,4,11,12,8,10,6,9,1]
[1,11,9,6,8,12,10,4,2,7,3,5]=>[5,3,7,2,4,10,12,8,6,9,11,1]
[7,6,2,12,10,9,11,3,1,8,4,5]=>[5,4,8,1,3,11,9,10,12,2,6,7]
[1,9,6,12,10,7,11,3,2,8,4,5]=>[5,4,8,2,3,11,7,10,12,6,9,1]
[1,12,9,6,11,7,10,3,2,8,4,5]=>[5,4,8,2,3,10,7,11,6,9,12,1]
[1,11,10,8,6,7,9,3,12,5,2,4]=>[4,2,5,12,3,9,7,6,8,10,11,1]
[9,8,11,10,4,2,3,12,1,7,5,6]=>[6,5,7,1,12,3,2,4,10,11,8,9]
[11,10,8,9,4,2,3,12,1,7,5,6]=>[6,5,7,1,12,3,2,4,9,8,10,11]
[9,8,2,12,10,3,4,11,1,7,5,6]=>[6,5,7,1,11,4,3,10,12,2,8,9]
[1,10,8,12,9,3,4,11,2,7,5,6]=>[6,5,7,2,11,4,3,9,12,8,10,1]
[1,12,11,8,9,3,4,10,2,7,5,6]=>[6,5,7,2,10,4,3,9,8,11,12,1]
[7,4,2,9,11,10,3,12,1,8,5,6]=>[6,5,8,1,12,3,10,11,9,2,4,7]
[1,7,4,10,11,9,3,12,2,8,5,6]=>[6,5,8,2,12,3,9,11,10,4,7,1]
[1,10,7,4,12,9,3,11,2,8,5,6]=>[6,5,8,2,11,3,9,12,4,7,10,1]
[1,11,9,4,7,8,3,10,12,6,2,5]=>[5,2,6,12,10,3,8,7,4,9,11,1]
[5,4,2,6,9,10,11,12,1,8,3,7]=>[7,3,8,1,12,11,10,9,6,2,4,5]
[1,5,4,6,9,11,10,12,2,8,3,7]=>[7,3,8,2,12,10,11,9,6,4,5,1]
[1,6,5,4,9,12,10,11,2,8,3,7]=>[7,3,8,2,11,10,12,9,4,5,6,1]
[1,8,6,4,5,11,9,10,12,7,2,3]=>[3,2,7,12,10,9,11,5,4,6,8,1]
[1,10,7,4,5,6,9,11,12,8,2,3]=>[3,2,8,12,11,9,6,5,4,7,10,1]
[8,7,10,9,12,11,6,5,4,1,2,3]=>[3,2,1,4,5,6,11,12,9,10,7,8]
[10,9,7,8,12,11,6,5,4,1,2,3]=>[3,2,1,4,5,6,11,12,8,7,9,10]
[8,7,12,11,9,10,6,5,4,1,2,3]=>[3,2,1,4,5,6,10,9,11,12,7,8]
[12,9,7,11,8,10,6,5,4,1,2,3]=>[3,2,1,4,5,6,10,8,11,7,9,12]
[12,11,10,7,8,9,6,5,4,1,2,3]=>[3,2,1,4,5,6,9,8,7,10,11,12]
[8,6,10,9,4,11,12,7,5,1,2,3]=>[3,2,1,5,7,12,11,4,9,10,6,8]
[10,9,6,8,4,11,12,7,5,1,2,3]=>[3,2,1,5,7,12,11,4,8,6,9,10]
[8,6,2,10,9,12,11,7,5,1,3,4]=>[4,3,1,5,7,11,12,9,10,2,6,8]
[1,9,6,10,8,12,11,7,5,2,3,4]=>[4,3,2,5,7,11,12,8,10,6,9,1]
[1,11,9,6,8,12,10,7,5,2,3,4]=>[4,3,2,5,7,10,12,8,6,9,11,1]
[7,6,2,12,10,9,11,5,8,1,3,4]=>[4,3,1,8,5,11,9,10,12,2,6,7]
[1,9,6,12,10,7,11,5,8,2,3,4]=>[4,3,2,8,5,11,7,10,12,6,9,1]
[1,12,9,6,11,7,10,5,8,2,3,4]=>[4,3,2,8,5,10,7,11,6,9,12,1]
[1,12,11,8,6,7,10,5,4,2,3,9]=>[9,3,2,4,5,10,7,6,8,11,12,1]
[9,8,11,10,4,5,2,12,7,1,3,6]=>[6,3,1,7,12,2,5,4,10,11,8,9]
[11,10,8,9,4,5,2,12,7,1,3,6]=>[6,3,1,7,12,2,5,4,9,8,10,11]
[9,8,2,12,10,5,3,11,7,1,4,6]=>[6,4,1,7,11,3,5,10,12,2,8,9]
[1,10,8,12,9,5,3,11,7,2,4,6]=>[6,4,2,7,11,3,5,9,12,8,10,1]
[1,12,11,8,9,5,3,10,7,2,4,6]=>[6,4,2,7,10,3,5,9,8,11,12,1]
[9,7,2,3,11,10,4,12,8,1,5,6]=>[6,5,1,8,12,4,10,11,3,2,7,9]
[1,10,7,3,11,9,4,12,8,2,5,6]=>[6,5,2,8,12,4,9,11,3,7,10,1]
[1,2,10,7,12,9,4,11,8,3,5,6]=>[6,5,3,8,11,4,9,12,7,10,2,1]
[1,2,12,10,7,8,4,11,6,3,5,9]=>[9,5,3,6,11,4,8,7,10,12,2,1]
[6,5,2,3,9,10,11,12,8,1,4,7]=>[7,4,1,8,12,11,10,9,3,2,5,6]
[1,6,5,3,9,11,10,12,8,2,4,7]=>[7,4,2,8,12,10,11,9,3,5,6,1]
[1,2,6,5,9,12,10,11,8,3,4,7]=>[7,4,3,8,11,10,12,9,5,6,2,1]
[1,2,8,6,5,12,10,11,7,3,4,9]=>[9,4,3,7,11,10,12,5,6,8,2,1]
[1,2,11,7,5,6,10,12,8,3,4,9]=>[9,4,3,8,12,10,6,5,7,11,2,1]
[10,9,12,11,4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4,11,12,9,10]
[12,11,9,10,4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4,10,9,11,12]
[9,8,2,11,10,5,6,7,12,1,3,4]=>[4,3,1,12,7,6,5,10,11,2,8,9]
[1,10,8,11,9,5,6,7,12,2,3,4]=>[4,3,2,12,7,6,5,9,11,8,10,1]
[1,12,10,8,9,5,6,7,11,2,3,4]=>[4,3,2,11,7,6,5,9,8,10,12,1]
[9,7,2,3,11,10,6,5,12,1,4,8]=>[8,4,1,12,5,6,10,11,3,2,7,9]
[1,10,7,3,11,9,6,5,12,2,4,8]=>[8,4,2,12,5,6,9,11,3,7,10,1]
[1,2,10,7,12,9,6,5,11,3,4,8]=>[8,4,3,11,5,6,9,12,7,10,2,1]
[1,2,11,10,7,8,6,5,12,3,4,9]=>[9,4,3,12,5,6,8,7,10,11,2,1]
[9,6,2,3,4,10,11,7,12,1,5,8]=>[8,5,1,12,7,11,10,4,3,2,6,9]
[1,9,6,3,4,11,10,7,12,2,5,8]=>[8,5,2,12,7,10,11,4,3,6,9,1]
[1,2,9,6,4,12,10,7,11,3,5,8]=>[8,5,3,11,7,10,12,4,6,9,2,1]
[1,2,3,8,6,11,10,7,12,4,5,9]=>[9,5,4,12,7,10,11,6,8,3,2,1]
[1,2,3,11,7,6,10,5,12,4,8,9]=>[9,8,4,12,5,10,6,7,11,3,2,1]
[10,9,2,3,4,5,6,11,12,1,7,8]=>[8,7,1,12,11,6,5,4,3,2,9,10]
[1,11,9,3,4,5,6,10,12,2,7,8]=>[8,7,2,12,10,6,5,4,3,9,11,1]
[1,2,12,9,4,5,6,10,11,3,7,8]=>[8,7,3,11,10,6,5,4,9,12,2,1]
[1,2,3,11,8,5,6,10,12,4,7,9]=>[9,7,4,12,10,6,5,8,11,3,2,1]
[1,2,3,4,10,7,6,11,12,5,8,9]=>[9,8,5,12,11,6,7,10,4,3,2,1]
[1,2,3,4,5,6,10,11,12,7,8,9]=>[9,8,7,12,11,10,6,5,4,3,2,1]
[1,3,2,5,4,7,6,8,11,9,12,10]=>[10,12,9,11,8,6,7,4,5,2,3,1]
[1,3,2,5,4,6,9,7,8,12,10,11]=>[11,10,12,8,7,9,6,4,5,2,3,1]
[1,3,2,5,4,6,9,7,8,11,12,10]=>[10,12,11,8,7,9,6,4,5,2,3,1]
[1,3,2,5,4,6,8,7,11,9,12,10]=>[10,12,9,11,7,8,6,4,5,2,3,1]
[1,3,2,5,4,6,7,11,8,9,12,10]=>[10,12,9,8,11,7,6,4,5,2,3,1]
[1,3,2,5,4,6,7,10,8,11,12,9]=>[9,12,11,8,10,7,6,4,5,2,3,1]
[1,3,2,4,7,5,6,9,8,12,10,11]=>[11,10,12,8,9,6,5,7,4,2,3,1]
[1,3,2,4,7,5,6,9,8,11,12,10]=>[10,12,11,8,9,6,5,7,4,2,3,1]
[1,3,2,4,7,5,6,8,12,9,10,11]=>[11,10,9,12,8,6,5,7,4,2,3,1]
[1,3,2,4,7,5,6,8,11,9,12,10]=>[10,12,9,11,8,6,5,7,4,2,3,1]
[1,3,2,4,7,5,6,8,10,11,12,9]=>[9,12,11,10,8,6,5,7,4,2,3,1]
[1,3,2,4,6,5,9,7,8,12,10,11]=>[11,10,12,8,7,9,5,6,4,2,3,1]
[1,3,2,4,6,5,9,7,8,11,12,10]=>[10,12,11,8,7,9,5,6,4,2,3,1]
[1,3,2,4,6,5,8,7,11,9,12,10]=>[10,12,9,11,7,8,5,6,4,2,3,1]
[1,3,2,4,6,5,7,11,8,9,12,10]=>[10,12,9,8,11,7,5,6,4,2,3,1]
[1,3,2,4,6,5,7,10,8,11,12,9]=>[9,12,11,8,10,7,5,6,4,2,3,1]
[1,3,2,4,5,9,6,7,8,12,10,11]=>[11,10,12,8,7,6,9,5,4,2,3,1]
[1,3,2,4,5,9,6,7,8,11,12,10]=>[10,12,11,8,7,6,9,5,4,2,3,1]
[1,3,2,4,5,8,6,7,12,9,10,11]=>[11,10,9,12,7,6,8,5,4,2,3,1]
[1,3,2,4,5,8,6,7,11,9,12,10]=>[10,12,9,11,7,6,8,5,4,2,3,1]
[1,3,2,4,5,8,6,7,10,11,12,9]=>[9,12,11,10,7,6,8,5,4,2,3,1]
[1,3,2,4,5,7,6,11,8,9,12,10]=>[10,12,9,8,11,6,7,5,4,2,3,1]
[1,3,2,4,5,7,6,10,8,11,12,9]=>[9,12,11,8,10,6,7,5,4,2,3,1]
[1,3,2,4,5,6,11,7,8,9,12,10]=>[10,12,9,8,7,11,6,5,4,2,3,1]
[1,3,2,4,5,6,10,7,8,11,12,9]=>[9,12,11,8,7,10,6,5,4,2,3,1]
[1,3,2,4,5,6,9,7,10,11,12,8]=>[8,12,11,10,7,9,6,5,4,2,3,1]
[1,2,5,3,4,7,6,9,8,12,10,11]=>[11,10,12,8,9,6,7,4,3,5,2,1]
[1,2,5,3,4,7,6,9,8,11,12,10]=>[10,12,11,8,9,6,7,4,3,5,2,1]
[1,2,5,3,4,7,6,8,12,9,10,11]=>[11,10,9,12,8,6,7,4,3,5,2,1]
[1,2,5,3,4,7,6,8,11,9,12,10]=>[10,12,9,11,8,6,7,4,3,5,2,1]
[1,2,5,3,4,7,6,8,10,11,12,9]=>[9,12,11,10,8,6,7,4,3,5,2,1]
[1,2,5,3,4,6,9,7,8,12,10,11]=>[11,10,12,8,7,9,6,4,3,5,2,1]
[1,2,5,3,4,6,9,7,8,11,12,10]=>[10,12,11,8,7,9,6,4,3,5,2,1]
[1,2,5,3,4,6,8,7,12,9,10,11]=>[11,10,9,12,7,8,6,4,3,5,2,1]
[1,2,5,3,4,6,8,7,11,9,12,10]=>[10,12,9,11,7,8,6,4,3,5,2,1]
[1,2,5,3,4,6,8,7,10,11,12,9]=>[9,12,11,10,7,8,6,4,3,5,2,1]
[1,2,5,3,4,6,7,12,8,9,10,11]=>[11,10,9,8,12,7,6,4,3,5,2,1]
[1,2,5,3,4,6,7,11,8,9,12,10]=>[10,12,9,8,11,7,6,4,3,5,2,1]
[1,2,5,3,4,6,7,10,8,11,12,9]=>[9,12,11,8,10,7,6,4,3,5,2,1]
[1,2,5,3,4,6,7,9,10,11,12,8]=>[8,12,11,10,9,7,6,4,3,5,2,1]
[1,2,4,3,7,5,6,9,8,12,10,11]=>[11,10,12,8,9,6,5,7,3,4,2,1]
[1,2,4,3,7,5,6,9,8,11,12,10]=>[10,12,11,8,9,6,5,7,3,4,2,1]
[1,2,4,3,7,5,6,8,12,9,10,11]=>[11,10,9,12,8,6,5,7,3,4,2,1]
[1,2,4,3,7,5,6,8,11,9,12,10]=>[10,12,9,11,8,6,5,7,3,4,2,1]
[1,2,4,3,7,5,6,8,10,11,12,9]=>[9,12,11,10,8,6,5,7,3,4,2,1]
[1,2,4,3,6,5,9,7,8,12,10,11]=>[11,10,12,8,7,9,5,6,3,4,2,1]
[1,2,4,3,6,5,9,7,8,11,12,10]=>[10,12,11,8,7,9,5,6,3,4,2,1]
[1,2,4,3,6,5,8,7,11,9,12,10]=>[10,12,9,11,7,8,5,6,3,4,2,1]
[1,2,4,3,6,5,7,11,8,9,12,10]=>[10,12,9,8,11,7,5,6,3,4,2,1]
[1,2,4,3,6,5,7,10,8,11,12,9]=>[9,12,11,8,10,7,5,6,3,4,2,1]
[1,2,4,3,5,9,6,7,8,12,10,11]=>[11,10,12,8,7,6,9,5,3,4,2,1]
[1,2,4,3,5,9,6,7,8,11,12,10]=>[10,12,11,8,7,6,9,5,3,4,2,1]
[1,2,4,3,5,8,6,7,12,9,10,11]=>[11,10,9,12,7,6,8,5,3,4,2,1]
[1,2,4,3,5,8,6,7,11,9,12,10]=>[10,12,9,11,7,6,8,5,3,4,2,1]
[1,2,4,3,5,8,6,7,10,11,12,9]=>[9,12,11,10,7,6,8,5,3,4,2,1]
[1,2,4,3,5,7,6,11,8,9,12,10]=>[10,12,9,8,11,6,7,5,3,4,2,1]
[1,2,4,3,5,7,6,10,8,11,12,9]=>[9,12,11,8,10,6,7,5,3,4,2,1]
[1,2,4,3,5,6,11,7,8,9,12,10]=>[10,12,9,8,7,11,6,5,3,4,2,1]
[1,2,4,3,5,6,10,7,8,11,12,9]=>[9,12,11,8,7,10,6,5,3,4,2,1]
[1,2,4,3,5,6,9,7,10,11,12,8]=>[8,12,11,10,7,9,6,5,3,4,2,1]
[1,2,3,7,4,5,6,9,8,12,10,11]=>[11,10,12,8,9,6,5,4,7,3,2,1]
[1,2,3,7,4,5,6,9,8,11,12,10]=>[10,12,11,8,9,6,5,4,7,3,2,1]
[1,2,3,7,4,5,6,8,12,9,10,11]=>[11,10,9,12,8,6,5,4,7,3,2,1]
[1,2,3,7,4,5,6,8,11,9,12,10]=>[10,12,9,11,8,6,5,4,7,3,2,1]
[1,2,3,7,4,5,6,8,10,11,12,9]=>[9,12,11,10,8,6,5,4,7,3,2,1]
[1,2,3,6,4,5,9,7,8,12,10,11]=>[11,10,12,8,7,9,5,4,6,3,2,1]
[1,2,3,6,4,5,9,7,8,11,12,10]=>[10,12,11,8,7,9,5,4,6,3,2,1]
[1,2,3,6,4,5,8,7,12,9,10,11]=>[11,10,9,12,7,8,5,4,6,3,2,1]
[1,2,3,6,4,5,8,7,11,9,12,10]=>[10,12,9,11,7,8,5,4,6,3,2,1]
[1,2,3,6,4,5,8,7,10,11,12,9]=>[9,12,11,10,7,8,5,4,6,3,2,1]
[1,2,3,6,4,5,7,11,8,9,12,10]=>[10,12,9,8,11,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,10,8,11,12,9]=>[9,12,11,8,10,7,5,4,6,3,2,1]
[1,2,3,6,4,5,7,9,10,11,12,8]=>[8,12,11,10,9,7,5,4,6,3,2,1]
[1,2,3,5,4,9,6,7,8,12,10,11]=>[11,10,12,8,7,6,9,4,5,3,2,1]
[1,2,3,5,4,9,6,7,8,11,12,10]=>[10,12,11,8,7,6,9,4,5,3,2,1]
[1,2,3,5,4,8,6,7,12,9,10,11]=>[11,10,9,12,7,6,8,4,5,3,2,1]
[1,2,3,5,4,8,6,7,11,9,12,10]=>[10,12,9,11,7,6,8,4,5,3,2,1]
[1,2,3,5,4,8,6,7,10,11,12,9]=>[9,12,11,10,7,6,8,4,5,3,2,1]
[1,2,3,5,4,7,6,11,8,9,12,10]=>[10,12,9,8,11,6,7,4,5,3,2,1]
[1,2,3,5,4,7,6,10,8,11,12,9]=>[9,12,11,8,10,6,7,4,5,3,2,1]
[1,2,3,5,4,6,11,7,8,9,12,10]=>[10,12,9,8,7,11,6,4,5,3,2,1]
[1,2,3,5,4,6,10,7,8,11,12,9]=>[9,12,11,8,7,10,6,4,5,3,2,1]
[1,2,3,5,4,6,9,7,10,11,12,8]=>[8,12,11,10,7,9,6,4,5,3,2,1]
[1,2,3,4,9,5,6,7,8,12,10,11]=>[11,10,12,8,7,6,5,9,4,3,2,1]
[1,2,3,4,9,5,6,7,8,11,12,10]=>[10,12,11,8,7,6,5,9,4,3,2,1]
[1,2,3,4,8,5,6,7,12,9,10,11]=>[11,10,9,12,7,6,5,8,4,3,2,1]
[1,2,3,4,8,5,6,7,11,9,12,10]=>[10,12,9,11,7,6,5,8,4,3,2,1]
[1,2,3,4,8,5,6,7,10,11,12,9]=>[9,12,11,10,7,6,5,8,4,3,2,1]
[1,2,3,4,7,5,6,12,8,9,10,11]=>[11,10,9,8,12,6,5,7,4,3,2,1]
[1,2,3,4,7,5,6,11,8,9,12,10]=>[10,12,9,8,11,6,5,7,4,3,2,1]
[1,2,3,4,7,5,6,10,8,11,12,9]=>[9,12,11,8,10,6,5,7,4,3,2,1]
[1,2,3,4,7,5,6,9,10,11,12,8]=>[8,12,11,10,9,6,5,7,4,3,2,1]
[1,2,3,4,6,5,11,7,8,9,12,10]=>[10,12,9,8,7,11,5,6,4,3,2,1]
[1,2,3,4,6,5,10,7,8,11,12,9]=>[9,12,11,8,7,10,5,6,4,3,2,1]
[1,2,3,4,6,5,9,7,10,11,12,8]=>[8,12,11,10,7,9,5,6,4,3,2,1]
[1,2,3,4,5,11,6,7,8,9,12,10]=>[10,12,9,8,7,6,11,5,4,3,2,1]
[1,2,3,4,5,10,6,7,8,11,12,9]=>[9,12,11,8,7,6,10,5,4,3,2,1]
[1,2,3,4,5,9,6,7,10,11,12,8]=>[8,12,11,10,7,6,9,5,4,3,2,1]
[1,2,3,4,5,8,6,9,10,11,12,7]=>[7,12,11,10,9,6,8,5,4,3,2,1]
[2,1,4,3,9,12,6,11,8,5,7,10]=>[10,7,5,8,11,6,12,9,3,4,1,2]
[2,1,7,10,4,9,6,3,5,8,12,11]=>[11,12,8,5,3,6,9,4,10,7,1,2]
[2,1,7,12,4,9,6,11,8,3,5,10]=>[10,5,3,8,11,6,9,4,12,7,1,2]
[2,1,7,12,4,11,6,3,5,8,9,10]=>[10,9,8,5,3,6,11,4,12,7,1,2]
[2,1,9,12,4,11,6,7,8,3,5,10]=>[10,5,3,8,7,6,11,4,12,9,1,2]
[2,1,12,10,4,3,11,7,5,6,9,8]=>[8,9,6,5,7,11,3,4,10,12,1,2]
[2,1,9,12,4,5,6,11,8,3,7,10]=>[10,7,3,8,11,6,5,4,12,9,1,2]
[2,1,8,12,11,5,4,6,7,3,9,10]=>[10,9,3,7,6,4,5,11,12,8,1,2]
[2,1,8,3,12,5,10,7,4,6,9,11]=>[11,9,6,4,7,10,5,12,3,8,1,2]
[4,1,2,3,9,12,6,11,8,5,7,10]=>[10,7,5,8,11,6,12,9,3,2,1,4]
[5,8,2,7,4,1,3,6,10,9,12,11]=>[11,12,9,10,6,3,1,4,7,2,8,5]
[5,8,2,7,4,1,3,6,12,9,10,11]=>[11,10,9,12,6,3,1,4,7,2,8,5]
[5,10,2,7,4,9,6,1,3,8,12,11]=>[11,12,8,3,1,6,9,4,7,2,10,5]
[5,12,2,7,4,9,6,11,8,1,3,10]=>[10,3,1,8,11,6,9,4,7,2,12,5]
[5,12,2,7,4,11,6,1,3,8,9,10]=>[10,9,8,3,1,6,11,4,7,2,12,5]
[5,10,2,9,4,1,3,6,7,8,12,11]=>[11,12,8,7,6,3,1,4,9,2,10,5]
[5,12,2,9,4,11,6,7,8,1,3,10]=>[10,3,1,8,7,6,11,4,9,2,12,5]
[12,5,2,10,4,1,11,7,3,6,9,8]=>[8,9,6,3,7,11,1,4,10,2,5,12]
[5,12,2,11,4,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,4,11,2,12,5]
[7,10,2,9,4,5,6,1,3,8,12,11]=>[11,12,8,3,1,6,5,4,9,2,10,7]
[7,12,2,9,4,5,6,11,8,1,3,10]=>[10,3,1,8,11,6,5,4,9,2,12,7]
[7,12,2,11,4,5,6,1,3,8,9,10]=>[10,9,8,3,1,6,5,4,11,2,12,7]
[10,8,2,1,9,5,3,4,7,6,12,11]=>[11,12,6,7,4,3,5,9,1,2,8,10]
[9,12,2,8,11,5,4,6,7,1,3,10]=>[10,3,1,7,6,4,5,11,8,2,12,9]
[12,8,2,1,11,5,10,7,3,4,9,6]=>[6,9,4,3,7,10,5,11,1,2,8,12]
[9,12,2,11,4,5,6,7,8,1,3,10]=>[10,3,1,8,7,6,5,4,11,2,12,9]
[12,10,2,1,11,5,6,7,3,4,9,8]=>[8,9,4,3,7,6,5,11,1,2,10,12]
[9,12,2,1,3,11,6,4,5,8,10,7]=>[7,10,8,5,4,6,11,3,1,2,12,9]
[7,10,2,3,4,9,6,1,5,8,12,11]=>[11,12,8,5,1,6,9,4,3,2,10,7]
[7,12,2,3,4,9,6,11,8,1,5,10]=>[10,5,1,8,11,6,9,4,3,2,12,7]
[7,12,2,3,4,11,6,1,5,8,9,10]=>[10,9,8,5,1,6,11,4,3,2,12,7]
[9,12,2,3,4,11,6,7,8,1,5,10]=>[10,5,1,8,7,6,11,4,3,2,12,9]
[12,10,2,3,4,1,11,7,5,6,9,8]=>[8,9,6,5,7,11,1,4,3,2,10,12]
[6,10,9,3,2,4,5,1,7,8,12,11]=>[11,12,8,7,1,5,4,2,3,9,10,6]
[6,12,9,3,2,4,5,11,8,1,7,10]=>[10,7,1,8,11,5,4,2,3,9,12,6]
[6,12,11,3,2,4,5,1,7,8,9,10]=>[10,9,8,7,1,5,4,2,3,11,12,6]
[6,1,10,3,8,5,2,4,7,9,12,11]=>[11,12,9,7,4,2,5,8,3,10,1,6]
[6,12,11,3,8,5,2,4,7,1,9,10]=>[10,9,1,7,4,2,5,8,3,11,12,6]
[6,1,12,3,8,5,10,7,2,4,9,11]=>[11,9,4,2,7,10,5,8,3,12,1,6]
[6,1,12,3,10,5,2,4,7,8,9,11]=>[11,9,8,7,4,2,5,10,3,12,1,6]
[8,12,11,3,2,4,5,6,7,1,9,10]=>[10,9,1,7,6,5,4,2,3,11,12,8]
[8,1,12,3,10,5,6,7,2,4,9,11]=>[11,9,4,2,7,6,5,10,3,12,1,8]
[12,1,9,3,2,10,6,4,5,8,7,11]=>[11,7,8,5,4,6,10,2,3,9,1,12]
[9,12,2,3,4,5,6,11,8,1,7,10]=>[10,7,1,8,11,6,5,4,3,2,12,9]
[8,12,11,3,4,5,2,6,7,1,9,10]=>[10,9,1,7,6,2,5,4,3,11,12,8]
[8,1,12,3,4,5,10,7,2,6,9,11]=>[11,9,6,2,7,10,5,4,3,12,1,8]
[7,12,2,11,4,3,5,6,8,1,9,10]=>[10,9,1,8,6,5,3,4,11,2,12,7]
[7,1,12,10,4,3,5,6,2,8,9,11]=>[11,9,8,2,6,5,3,4,10,12,1,7]
[7,1,2,12,4,9,6,3,5,8,10,11]=>[11,10,8,5,3,6,9,4,12,2,1,7]
[12,1,11,3,8,5,7,6,9,10,4,2]=>[2,4,10,9,6,7,5,8,3,11,1,12]
[12,1,10,3,9,5,7,8,6,4,11,2]=>[2,11,4,6,8,7,5,9,3,10,1,12]
[12,1,11,3,9,5,7,8,6,10,4,2]=>[2,4,10,6,8,7,5,9,3,11,1,12]
[12,1,11,3,10,5,7,8,9,6,4,2]=>[2,4,6,9,8,7,5,10,3,11,1,12]
[12,1,10,3,8,7,6,5,9,4,11,2]=>[2,11,4,9,5,6,7,8,3,10,1,12]
[12,1,11,3,8,7,6,5,9,10,4,2]=>[2,4,10,9,5,6,7,8,3,11,1,12]
[12,1,10,3,9,7,6,8,5,4,11,2]=>[2,11,4,5,8,6,7,9,3,10,1,12]
[12,1,11,3,9,7,6,8,5,10,4,2]=>[2,4,10,5,8,6,7,9,3,11,1,12]
[12,1,11,3,10,7,6,8,9,5,4,2]=>[2,4,5,9,8,6,7,10,3,11,1,12]
[12,1,10,3,9,8,7,6,5,4,11,2]=>[2,11,4,5,6,7,8,9,3,10,1,12]
[12,1,11,3,9,8,7,6,5,10,4,2]=>[2,4,10,5,6,7,8,9,3,11,1,12]
[12,1,11,3,10,8,7,6,9,5,4,2]=>[2,4,5,9,6,7,8,10,3,11,1,12]
[12,1,11,3,10,9,7,8,6,5,4,2]=>[2,4,5,6,8,7,9,10,3,11,1,12]
[12,1,10,8,4,5,7,6,9,3,11,2]=>[2,11,3,9,6,7,5,4,8,10,1,12]
[12,1,11,8,4,5,7,6,9,10,3,2]=>[2,3,10,9,6,7,5,4,8,11,1,12]
[12,1,10,9,4,5,7,8,6,3,11,2]=>[2,11,3,6,8,7,5,4,9,10,1,12]
[12,1,11,9,4,5,7,8,6,10,3,2]=>[2,3,10,6,8,7,5,4,9,11,1,12]
[12,1,11,10,4,5,7,8,9,6,3,2]=>[2,3,6,9,8,7,5,4,10,11,1,12]
[12,1,10,8,4,7,6,5,9,3,11,2]=>[2,11,3,9,5,6,7,4,8,10,1,12]
[12,1,11,8,4,7,6,5,9,10,3,2]=>[2,3,10,9,5,6,7,4,8,11,1,12]
[12,1,10,9,4,7,6,8,5,3,11,2]=>[2,11,3,5,8,6,7,4,9,10,1,12]
[12,1,11,9,4,7,6,8,5,10,3,2]=>[2,3,10,5,8,6,7,4,9,11,1,12]
[12,1,11,10,4,7,6,8,9,5,3,2]=>[2,3,5,9,8,6,7,4,10,11,1,12]
[12,1,10,9,4,8,7,6,5,3,11,2]=>[2,11,3,5,6,7,8,4,9,10,1,12]
[12,1,11,9,4,8,7,6,5,10,3,2]=>[2,3,10,5,6,7,8,4,9,11,1,12]
[12,1,11,10,4,8,7,6,9,5,3,2]=>[2,3,5,9,6,7,8,4,10,11,1,12]
[12,1,11,10,4,9,7,8,6,5,3,2]=>[2,3,5,6,8,7,9,4,10,11,1,12]
[12,1,10,8,7,5,6,4,9,3,11,2]=>[2,11,3,9,4,6,5,7,8,10,1,12]
[12,1,11,8,7,5,6,4,9,10,3,2]=>[2,3,10,9,4,6,5,7,8,11,1,12]
[12,1,10,9,7,5,6,8,4,3,11,2]=>[2,11,3,4,8,6,5,7,9,10,1,12]
[12,1,11,9,7,5,6,8,4,10,3,2]=>[2,3,10,4,8,6,5,7,9,11,1,12]
[12,1,11,10,7,5,6,8,9,4,3,2]=>[2,3,4,9,8,6,5,7,10,11,1,12]
[12,1,10,9,8,5,7,6,4,3,11,2]=>[2,11,3,4,6,7,5,8,9,10,1,12]
[12,1,11,9,8,5,7,6,4,10,3,2]=>[2,3,10,4,6,7,5,8,9,11,1,12]
[12,1,11,10,8,5,7,6,9,4,3,2]=>[2,3,4,9,6,7,5,8,10,11,1,12]
[12,1,11,10,9,5,7,8,6,4,3,2]=>[2,3,4,6,8,7,5,9,10,11,1,12]
[12,1,10,9,8,7,6,5,4,3,11,2]=>[2,11,3,4,5,6,7,8,9,10,1,12]
[12,1,11,9,8,7,6,5,4,10,3,2]=>[2,3,10,4,5,6,7,8,9,11,1,12]
[12,1,11,10,8,7,6,5,9,4,3,2]=>[2,3,4,9,5,6,7,8,10,11,1,12]
[12,1,11,10,9,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,9,10,11,1,12]
[12,10,2,3,8,5,7,6,9,4,11,1]=>[1,11,4,9,6,7,5,8,3,2,10,12]
[12,11,2,3,8,5,7,6,9,10,4,1]=>[1,4,10,9,6,7,5,8,3,2,11,12]
[12,10,2,3,9,5,7,8,6,4,11,1]=>[1,11,4,6,8,7,5,9,3,2,10,12]
[12,11,2,3,9,5,7,8,6,10,4,1]=>[1,4,10,6,8,7,5,9,3,2,11,12]
[12,11,2,3,10,5,7,8,9,6,4,1]=>[1,4,6,9,8,7,5,10,3,2,11,12]
[12,10,2,3,8,7,6,5,9,4,11,1]=>[1,11,4,9,5,6,7,8,3,2,10,12]
[12,11,2,3,8,7,6,5,9,10,4,1]=>[1,4,10,9,5,6,7,8,3,2,11,12]
[12,10,2,3,9,7,6,8,5,4,11,1]=>[1,11,4,5,8,6,7,9,3,2,10,12]
[12,11,2,3,9,7,6,8,5,10,4,1]=>[1,4,10,5,8,6,7,9,3,2,11,12]
[12,11,2,3,10,7,6,8,9,5,4,1]=>[1,4,5,9,8,6,7,10,3,2,11,12]
[12,10,2,3,9,8,7,6,5,4,11,1]=>[1,11,4,5,6,7,8,9,3,2,10,12]
[12,11,2,3,9,8,7,6,5,10,4,1]=>[1,4,10,5,6,7,8,9,3,2,11,12]
[12,11,2,3,10,8,7,6,9,5,4,1]=>[1,4,5,9,6,7,8,10,3,2,11,12]
[12,11,2,3,10,9,7,8,6,5,4,1]=>[1,4,5,6,8,7,9,10,3,2,11,12]
[12,10,2,8,4,5,7,6,9,3,11,1]=>[1,11,3,9,6,7,5,4,8,2,10,12]
[12,11,2,8,4,5,7,6,9,10,3,1]=>[1,3,10,9,6,7,5,4,8,2,11,12]
[12,10,2,9,4,5,7,8,6,3,11,1]=>[1,11,3,6,8,7,5,4,9,2,10,12]
[12,11,2,9,4,5,7,8,6,10,3,1]=>[1,3,10,6,8,7,5,4,9,2,11,12]
[12,11,2,10,4,5,7,8,9,6,3,1]=>[1,3,6,9,8,7,5,4,10,2,11,12]
[12,10,2,8,4,7,6,5,9,3,11,1]=>[1,11,3,9,5,6,7,4,8,2,10,12]
[12,11,2,8,4,7,6,5,9,10,3,1]=>[1,3,10,9,5,6,7,4,8,2,11,12]
[12,10,2,9,4,7,6,8,5,3,11,1]=>[1,11,3,5,8,6,7,4,9,2,10,12]
[12,11,2,9,4,7,6,8,5,10,3,1]=>[1,3,10,5,8,6,7,4,9,2,11,12]
[12,11,2,10,4,7,6,8,9,5,3,1]=>[1,3,5,9,8,6,7,4,10,2,11,12]
[12,10,2,9,4,8,7,6,5,3,11,1]=>[1,11,3,5,6,7,8,4,9,2,10,12]
[12,11,2,9,4,8,7,6,5,10,3,1]=>[1,3,10,5,6,7,8,4,9,2,11,12]
[12,11,2,10,4,8,7,6,9,5,3,1]=>[1,3,5,9,6,7,8,4,10,2,11,12]
[12,11,2,10,4,9,7,8,6,5,3,1]=>[1,3,5,6,8,7,9,4,10,2,11,12]
[12,10,2,8,7,5,6,4,9,3,11,1]=>[1,11,3,9,4,6,5,7,8,2,10,12]
[12,11,2,8,7,5,6,4,9,10,3,1]=>[1,3,10,9,4,6,5,7,8,2,11,12]
[12,10,2,9,7,5,6,8,4,3,11,1]=>[1,11,3,4,8,6,5,7,9,2,10,12]
[12,11,2,9,7,5,6,8,4,10,3,1]=>[1,3,10,4,8,6,5,7,9,2,11,12]
[12,11,2,10,7,5,6,8,9,4,3,1]=>[1,3,4,9,8,6,5,7,10,2,11,12]
[12,10,2,9,8,5,7,6,4,3,11,1]=>[1,11,3,4,6,7,5,8,9,2,10,12]
[12,11,2,9,8,5,7,6,4,10,3,1]=>[1,3,10,4,6,7,5,8,9,2,11,12]
[12,11,2,10,8,5,7,6,9,4,3,1]=>[1,3,4,9,6,7,5,8,10,2,11,12]
[12,11,2,10,9,5,7,8,6,4,3,1]=>[1,3,4,6,8,7,5,9,10,2,11,12]
[12,10,2,9,8,7,6,5,4,3,11,1]=>[1,11,3,4,5,6,7,8,9,2,10,12]
[12,11,2,9,8,7,6,5,4,10,3,1]=>[1,3,10,4,5,6,7,8,9,2,11,12]
[12,11,2,10,8,7,6,5,9,4,3,1]=>[1,3,4,9,5,6,7,8,10,2,11,12]
[12,11,2,10,9,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,9,10,2,11,12]
[12,11,2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2,11,12]
[12,10,8,3,4,5,7,6,9,2,11,1]=>[1,11,2,9,6,7,5,4,3,8,10,12]
[12,11,8,3,4,5,7,6,9,10,2,1]=>[1,2,10,9,6,7,5,4,3,8,11,12]
[12,10,9,3,4,5,7,8,6,2,11,1]=>[1,11,2,6,8,7,5,4,3,9,10,12]
[12,11,9,3,4,5,7,8,6,10,2,1]=>[1,2,10,6,8,7,5,4,3,9,11,12]
[12,11,10,3,4,5,7,8,9,6,2,1]=>[1,2,6,9,8,7,5,4,3,10,11,12]
[12,10,8,3,4,7,6,5,9,2,11,1]=>[1,11,2,9,5,6,7,4,3,8,10,12]
[12,11,8,3,4,7,6,5,9,10,2,1]=>[1,2,10,9,5,6,7,4,3,8,11,12]
[12,10,9,3,4,7,6,8,5,2,11,1]=>[1,11,2,5,8,6,7,4,3,9,10,12]
[12,11,9,3,4,7,6,8,5,10,2,1]=>[1,2,10,5,8,6,7,4,3,9,11,12]
[12,11,10,3,4,7,6,8,9,5,2,1]=>[1,2,5,9,8,6,7,4,3,10,11,12]
[12,10,9,3,4,8,7,6,5,2,11,1]=>[1,11,2,5,6,7,8,4,3,9,10,12]
[12,11,9,3,4,8,7,6,5,10,2,1]=>[1,2,10,5,6,7,8,4,3,9,11,12]
[12,11,10,3,4,8,7,6,9,5,2,1]=>[1,2,5,9,6,7,8,4,3,10,11,12]
[12,11,10,3,4,9,7,8,6,5,2,1]=>[1,2,5,6,8,7,9,4,3,10,11,12]
[12,10,8,3,7,5,6,4,9,2,11,1]=>[1,11,2,9,4,6,5,7,3,8,10,12]
[12,11,8,3,7,5,6,4,9,10,2,1]=>[1,2,10,9,4,6,5,7,3,8,11,12]
[12,10,9,3,7,5,6,8,4,2,11,1]=>[1,11,2,4,8,6,5,7,3,9,10,12]
[12,11,9,3,7,5,6,8,4,10,2,1]=>[1,2,10,4,8,6,5,7,3,9,11,12]
[12,11,10,3,7,5,6,8,9,4,2,1]=>[1,2,4,9,8,6,5,7,3,10,11,12]
[12,10,9,3,8,5,7,6,4,2,11,1]=>[1,11,2,4,6,7,5,8,3,9,10,12]
[12,11,9,3,8,5,7,6,4,10,2,1]=>[1,2,10,4,6,7,5,8,3,9,11,12]
[12,11,10,3,8,5,7,6,9,4,2,1]=>[1,2,4,9,6,7,5,8,3,10,11,12]
[12,11,10,3,9,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,9,3,10,11,12]
[12,10,9,3,8,7,6,5,4,2,11,1]=>[1,11,2,4,5,6,7,8,3,9,10,12]
[12,11,9,3,8,7,6,5,4,10,2,1]=>[1,2,10,4,5,6,7,8,3,9,11,12]
[12,11,10,3,8,7,6,5,9,4,2,1]=>[1,2,4,9,5,6,7,8,3,10,11,12]
[12,11,10,3,9,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,9,3,10,11,12]
[12,10,8,7,4,5,6,3,9,2,11,1]=>[1,11,2,9,3,6,5,4,7,8,10,12]
[12,11,8,7,4,5,6,3,9,10,2,1]=>[1,2,10,9,3,6,5,4,7,8,11,12]
[12,10,9,7,4,5,6,8,3,2,11,1]=>[1,11,2,3,8,6,5,4,7,9,10,12]
[12,11,9,7,4,5,6,8,3,10,2,1]=>[1,2,10,3,8,6,5,4,7,9,11,12]
[12,11,10,7,4,5,6,8,9,3,2,1]=>[1,2,3,9,8,6,5,4,7,10,11,12]
[12,10,9,8,4,5,7,6,3,2,11,1]=>[1,11,2,3,6,7,5,4,8,9,10,12]
[12,11,9,8,4,5,7,6,3,10,2,1]=>[1,2,10,3,6,7,5,4,8,9,11,12]
[12,11,10,8,4,5,7,6,9,3,2,1]=>[1,2,3,9,6,7,5,4,8,10,11,12]
[12,11,10,9,4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4,9,10,11,12]
[12,10,9,8,4,7,6,5,3,2,11,1]=>[1,11,2,3,5,6,7,4,8,9,10,12]
[12,11,9,8,4,7,6,5,3,10,2,1]=>[1,2,10,3,5,6,7,4,8,9,11,12]
[12,11,10,8,4,7,6,5,9,3,2,1]=>[1,2,3,9,5,6,7,4,8,10,11,12]
[12,11,10,9,4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4,9,10,11,12]
[12,11,10,9,4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4,9,10,11,12]
[12,10,9,8,7,5,6,4,3,2,11,1]=>[1,11,2,3,4,6,5,7,8,9,10,12]
[12,11,9,8,7,5,6,4,3,10,2,1]=>[1,2,10,3,4,6,5,7,8,9,11,12]
[12,11,10,8,7,5,6,4,9,3,2,1]=>[1,2,3,9,4,6,5,7,8,10,11,12]
[12,11,10,9,7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7,9,10,11,12]
[1,11,4,5,3,7,12,2,9,8,10,6]=>[6,10,8,9,2,12,7,3,5,4,11,1]
[1,11,4,5,2,9,8,10,6,3,7,12]=>[12,7,3,6,10,8,9,2,5,4,11,1]
[1,11,5,3,7,12,2,9,8,10,6,4]=>[4,6,10,8,9,2,12,7,3,5,11,1]
[1,11,5,2,9,8,10,6,3,7,12,4]=>[4,12,7,3,6,10,8,9,2,5,11,1]
[1,11,4,5,3,6,2,9,8,10,7,12]=>[12,7,10,8,9,2,6,3,5,4,11,1]
[1,11,4,5,2,9,8,10,7,12,3,6]=>[6,3,12,7,10,8,9,2,5,4,11,1]
[1,11,5,3,6,2,9,8,10,7,12,4]=>[4,12,7,10,8,9,2,6,3,5,11,1]
[1,11,5,2,9,8,10,7,12,3,6,4]=>[4,6,3,12,7,10,8,9,2,5,11,1]
[1,11,5,2,9,8,10,7,12,4,3,6]=>[6,3,4,12,7,10,8,9,2,5,11,1]
[1,11,6,2,9,8,10,7,12,3,5,4]=>[4,5,3,12,7,10,8,9,2,6,11,1]
[1,11,6,2,9,8,10,7,12,4,3,5]=>[5,3,4,12,7,10,8,9,2,6,11,1]
[1,11,6,2,9,8,10,7,12,5,3,4]=>[4,3,5,12,7,10,8,9,2,6,11,1]
[1,11,4,5,3,7,12,2,8,10,6,9]=>[9,6,10,8,2,12,7,3,5,4,11,1]
[1,11,4,5,2,8,10,6,3,7,12,9]=>[9,12,7,3,6,10,8,2,5,4,11,1]
[1,11,5,3,7,12,2,8,10,6,4,9]=>[9,4,6,10,8,2,12,7,3,5,11,1]
[1,11,5,2,8,10,6,3,7,12,4,9]=>[9,4,12,7,3,6,10,8,2,5,11,1]
[1,11,4,5,3,6,2,8,10,7,12,9]=>[9,12,7,10,8,2,6,3,5,4,11,1]
[1,11,4,5,2,8,10,7,12,3,6,9]=>[9,6,3,12,7,10,8,2,5,4,11,1]
[1,11,5,3,6,2,8,10,7,12,4,9]=>[9,4,12,7,10,8,2,6,3,5,11,1]
[1,11,5,2,8,10,7,12,3,6,4,9]=>[9,4,6,3,12,7,10,8,2,5,11,1]
[1,11,5,2,8,10,7,12,4,3,6,9]=>[9,6,3,4,12,7,10,8,2,5,11,1]
[1,11,6,2,8,10,7,12,3,5,4,9]=>[9,4,5,3,12,7,10,8,2,6,11,1]
[1,11,6,2,8,10,7,12,4,3,5,9]=>[9,5,3,4,12,7,10,8,2,6,11,1]
[1,11,6,2,8,10,7,12,5,3,4,9]=>[9,4,3,5,12,7,10,8,2,6,11,1]
[1,11,4,5,3,6,2,7,12,8,10,9]=>[9,10,8,12,7,2,6,3,5,4,11,1]
[1,11,4,5,2,7,12,3,6,8,10,9]=>[9,10,8,6,3,12,7,2,5,4,11,1]
[1,11,5,3,6,2,7,12,4,8,10,9]=>[9,10,8,4,12,7,2,6,3,5,11,1]
[1,11,5,2,7,12,3,6,4,8,10,9]=>[9,10,8,4,6,3,12,7,2,5,11,1]
[1,11,5,2,7,12,4,3,6,8,10,9]=>[9,10,8,6,3,4,12,7,2,5,11,1]
[1,11,6,2,7,12,3,5,4,8,10,9]=>[9,10,8,4,5,3,12,7,2,6,11,1]
[1,11,6,2,7,12,4,3,5,8,10,9]=>[9,10,8,5,3,4,12,7,2,6,11,1]
[1,11,6,2,7,12,5,3,4,8,10,9]=>[9,10,8,4,3,5,12,7,2,6,11,1]
[1,11,7,12,2,6,3,5,4,8,10,9]=>[9,10,8,4,5,3,6,2,12,7,11,1]
[1,11,7,12,3,5,2,6,4,8,10,9]=>[9,10,8,4,6,2,5,3,12,7,11,1]
[1,11,7,12,4,3,5,2,6,8,10,9]=>[9,10,8,6,2,5,3,4,12,7,11,1]
[1,11,7,12,5,2,6,3,4,8,10,9]=>[9,10,8,4,3,6,2,5,12,7,11,1]
[1,11,7,12,6,2,5,3,4,8,10,9]=>[9,10,8,4,3,5,2,6,12,7,11,1]
[1,10,6,2,9,8,11,4,5,3,7,12]=>[12,7,3,5,4,11,8,9,2,6,10,1]
[1,10,6,2,9,8,11,5,3,7,12,4]=>[4,12,7,3,5,11,8,9,2,6,10,1]
[1,10,7,12,2,9,8,11,4,5,3,6]=>[6,3,5,4,11,8,9,2,12,7,10,1]
[1,10,7,12,3,6,2,9,8,11,4,5]=>[5,4,11,8,9,2,6,3,12,7,10,1]
[1,10,7,12,2,9,8,11,5,3,6,4]=>[4,6,3,5,11,8,9,2,12,7,10,1]
[1,10,7,12,3,6,2,9,8,11,5,4]=>[4,5,11,8,9,2,6,3,12,7,10,1]
[1,10,7,12,4,3,6,2,9,8,11,5]=>[5,11,8,9,2,6,3,4,12,7,10,1]
[1,10,7,12,2,9,8,11,6,3,5,4]=>[4,5,3,6,11,8,9,2,12,7,10,1]
[1,10,7,12,3,5,2,9,8,11,6,4]=>[4,6,11,8,9,2,5,3,12,7,10,1]
[1,10,7,12,4,3,5,2,9,8,11,6]=>[6,11,8,9,2,5,3,4,12,7,10,1]
[1,10,7,12,5,2,9,8,11,6,3,4]=>[4,3,6,11,8,9,2,5,12,7,10,1]
[1,10,6,2,8,11,4,5,3,7,12,9]=>[9,12,7,3,5,4,11,8,2,6,10,1]
[1,10,6,2,8,11,5,3,7,12,4,9]=>[9,4,12,7,3,5,11,8,2,6,10,1]
[1,10,7,12,2,8,11,4,5,3,6,9]=>[9,6,3,5,4,11,8,2,12,7,10,1]
[1,10,7,12,3,6,2,8,11,4,5,9]=>[9,5,4,11,8,2,6,3,12,7,10,1]
[1,10,7,12,2,8,11,5,3,6,4,9]=>[9,4,6,3,5,11,8,2,12,7,10,1]
[1,10,7,12,3,6,2,8,11,5,4,9]=>[9,4,5,11,8,2,6,3,12,7,10,1]
[1,10,7,12,4,3,6,2,8,11,5,9]=>[9,5,11,8,2,6,3,4,12,7,10,1]
[1,10,7,12,2,8,11,6,3,5,4,9]=>[9,4,5,3,6,11,8,2,12,7,10,1]
[1,10,7,12,3,5,2,8,11,6,4,9]=>[9,4,6,11,8,2,5,3,12,7,10,1]
[1,10,7,12,4,3,5,2,8,11,6,9]=>[9,6,11,8,2,5,3,4,12,7,10,1]
[1,10,7,12,5,2,8,11,6,3,4,9]=>[9,4,3,6,11,8,2,5,12,7,10,1]
[1,10,8,11,4,5,3,6,2,7,12,9]=>[9,12,7,2,6,3,5,4,11,8,10,1]
[1,10,8,11,4,5,2,7,12,3,6,9]=>[9,6,3,12,7,2,5,4,11,8,10,1]
[1,10,8,11,5,3,6,2,7,12,4,9]=>[9,4,12,7,2,6,3,5,11,8,10,1]
[1,10,8,11,5,2,7,12,3,6,4,9]=>[9,4,6,3,12,7,2,5,11,8,10,1]
[1,10,8,11,5,2,7,12,4,3,6,9]=>[9,6,3,4,12,7,2,5,11,8,10,1]
[1,10,8,11,6,2,7,12,3,5,4,9]=>[9,4,5,3,12,7,2,6,11,8,10,1]
[1,10,8,11,6,2,7,12,4,3,5,9]=>[9,5,3,4,12,7,2,6,11,8,10,1]
[1,10,8,11,6,2,7,12,5,3,4,9]=>[9,4,3,5,12,7,2,6,11,8,10,1]
[1,10,8,11,7,12,2,6,3,5,4,9]=>[9,4,5,3,6,2,12,7,11,8,10,1]
[1,10,8,11,7,12,3,5,2,6,4,9]=>[9,4,6,2,5,3,12,7,11,8,10,1]
[1,10,8,11,7,12,4,3,5,2,6,9]=>[9,6,2,5,3,4,12,7,11,8,10,1]
[1,10,8,11,7,12,5,2,6,3,4,9]=>[9,4,3,6,2,5,12,7,11,8,10,1]
[1,10,8,11,7,12,6,2,5,3,4,9]=>[9,4,3,5,2,6,12,7,11,8,10,1]
[1,9,10,6,2,8,11,4,5,3,7,12]=>[12,7,3,5,4,11,8,2,6,10,9,1]
[1,9,10,6,2,8,11,5,3,7,12,4]=>[4,12,7,3,5,11,8,2,6,10,9,1]
[1,9,10,7,12,2,8,11,4,5,3,6]=>[6,3,5,4,11,8,2,12,7,10,9,1]
[1,9,10,7,12,3,6,2,8,11,4,5]=>[5,4,11,8,2,6,3,12,7,10,9,1]
[1,9,10,7,12,2,8,11,5,3,6,4]=>[4,6,3,5,11,8,2,12,7,10,9,1]
[1,9,10,7,12,3,6,2,8,11,5,4]=>[4,5,11,8,2,6,3,12,7,10,9,1]
[1,9,10,7,12,4,3,6,2,8,11,5]=>[5,11,8,2,6,3,4,12,7,10,9,1]
[1,9,10,7,12,2,8,11,6,3,5,4]=>[4,5,3,6,11,8,2,12,7,10,9,1]
[1,9,10,7,12,3,5,2,8,11,6,4]=>[4,6,11,8,2,5,3,12,7,10,9,1]
[1,9,10,7,12,4,3,5,2,8,11,6]=>[6,11,8,2,5,3,4,12,7,10,9,1]
[1,9,10,7,12,5,2,8,11,6,3,4]=>[4,3,6,11,8,2,5,12,7,10,9,1]
[1,9,10,8,11,4,5,3,6,2,7,12]=>[12,7,2,6,3,5,4,11,8,10,9,1]
[1,9,10,8,11,4,5,2,7,12,3,6]=>[6,3,12,7,2,5,4,11,8,10,9,1]
[1,9,10,8,11,5,3,6,2,7,12,4]=>[4,12,7,2,6,3,5,11,8,10,9,1]
[1,9,10,8,11,5,2,7,12,3,6,4]=>[4,6,3,12,7,2,5,11,8,10,9,1]
[1,9,10,8,11,5,2,7,12,4,3,6]=>[6,3,4,12,7,2,5,11,8,10,9,1]
[1,9,10,8,11,6,2,7,12,3,5,4]=>[4,5,3,12,7,2,6,11,8,10,9,1]
[1,9,10,8,11,6,2,7,12,4,3,5]=>[5,3,4,12,7,2,6,11,8,10,9,1]
[1,9,10,8,11,6,2,7,12,5,3,4]=>[4,3,5,12,7,2,6,11,8,10,9,1]
[1,9,10,8,11,7,12,2,6,3,5,4]=>[4,5,3,6,2,12,7,11,8,10,9,1]
[1,9,10,8,11,7,12,3,5,2,6,4]=>[4,6,2,5,3,12,7,11,8,10,9,1]
[1,9,10,8,11,7,12,4,3,5,2,6]=>[6,2,5,3,4,12,7,11,8,10,9,1]
[1,9,10,8,11,7,12,5,2,6,3,4]=>[4,3,6,2,5,12,7,11,8,10,9,1]
[1,9,10,8,11,7,12,6,2,5,3,4]=>[4,3,5,2,6,12,7,11,8,10,9,1]
[1,8,11,4,5,3,6,2,7,12,9,10]=>[10,9,12,7,2,6,3,5,4,11,8,1]
[1,8,11,4,5,2,7,12,3,6,9,10]=>[10,9,6,3,12,7,2,5,4,11,8,1]
[1,8,11,5,3,6,2,7,12,4,9,10]=>[10,9,4,12,7,2,6,3,5,11,8,1]
[1,8,11,5,2,7,12,3,6,4,9,10]=>[10,9,4,6,3,12,7,2,5,11,8,1]
[1,8,11,5,2,7,12,4,3,6,9,10]=>[10,9,6,3,4,12,7,2,5,11,8,1]
[1,8,11,6,2,7,12,3,5,4,9,10]=>[10,9,4,5,3,12,7,2,6,11,8,1]
[1,8,11,6,2,7,12,4,3,5,9,10]=>[10,9,5,3,4,12,7,2,6,11,8,1]
[1,8,11,6,2,7,12,5,3,4,9,10]=>[10,9,4,3,5,12,7,2,6,11,8,1]
[1,8,11,7,12,2,6,3,5,4,9,10]=>[10,9,4,5,3,6,2,12,7,11,8,1]
[1,8,11,7,12,3,5,2,6,4,9,10]=>[10,9,4,6,2,5,3,12,7,11,8,1]
[1,8,11,7,12,4,3,5,2,6,9,10]=>[10,9,6,2,5,3,4,12,7,11,8,1]
[1,8,11,7,12,5,2,6,3,4,9,10]=>[10,9,4,3,6,2,5,12,7,11,8,1]
[1,8,11,7,12,6,2,5,3,4,9,10]=>[10,9,4,3,5,2,6,12,7,11,8,1]
[1,7,12,2,6,3,5,4,8,11,9,10]=>[10,9,11,8,4,5,3,6,2,12,7,1]
[1,7,12,3,5,2,6,4,8,11,9,10]=>[10,9,11,8,4,6,2,5,3,12,7,1]
[1,7,12,4,3,5,2,6,8,11,9,10]=>[10,9,11,8,6,2,5,3,4,12,7,1]
[1,7,12,5,2,6,3,4,8,11,9,10]=>[10,9,11,8,4,3,6,2,5,12,7,1]
[1,7,12,6,2,5,3,4,8,11,9,10]=>[10,9,11,8,4,3,5,2,6,12,7,1]
[2,1,4,3,6,5,12,11,9,7,10,8]=>[8,10,7,9,11,12,5,6,3,4,1,2]
[2,1,4,3,10,9,7,5,8,6,12,11]=>[11,12,6,8,5,7,9,10,3,4,1,2]
[2,1,4,3,12,9,7,11,8,5,10,6]=>[6,10,5,8,11,7,9,12,3,4,1,2]
[2,1,4,3,12,11,6,8,9,5,10,7]=>[7,10,5,9,8,6,11,12,3,4,1,2]
[2,1,4,3,12,5,11,8,6,10,9,7]=>[7,9,10,6,8,11,5,12,3,4,1,2]
[2,1,6,3,5,4,12,11,9,7,10,8]=>[8,10,7,9,11,12,4,5,3,6,1,2]
[2,1,8,7,5,3,6,4,10,9,12,11]=>[11,12,9,10,4,6,3,5,7,8,1,2]
[2,1,8,7,5,3,6,4,12,9,11,10]=>[10,11,9,12,4,6,3,5,7,8,1,2]
[2,1,10,7,5,9,6,3,8,4,12,11]=>[11,12,4,8,3,6,9,5,7,10,1,2]
[2,1,12,7,5,9,6,11,8,3,10,4]=>[4,10,3,8,11,6,9,5,7,12,1,2]
[2,1,12,7,5,10,6,3,4,9,11,8]=>[8,11,9,4,3,6,10,5,7,12,1,2]
[2,1,12,8,5,11,4,7,9,3,10,6]=>[6,10,3,9,7,4,11,5,8,12,1,2]
[2,1,12,8,5,3,11,7,4,10,9,6]=>[6,9,10,4,7,11,3,5,8,12,1,2]
[2,1,12,9,5,3,4,6,8,10,11,7]=>[7,11,10,8,6,4,3,5,9,12,1,2]
[2,1,10,9,4,6,7,3,8,5,12,11]=>[11,12,5,8,3,7,6,4,9,10,1,2]
[2,1,12,9,4,6,7,11,8,3,10,5]=>[5,10,3,8,11,7,6,4,9,12,1,2]
[2,1,10,3,9,6,4,8,7,5,12,11]=>[11,12,5,7,8,4,6,9,3,10,1,2]
[2,1,12,11,9,6,4,8,7,3,10,5]=>[5,10,3,7,8,4,6,9,11,12,1,2]
[2,1,12,3,10,6,11,8,4,9,7,5]=>[5,7,9,4,8,11,6,10,3,12,1,2]
[2,1,12,11,4,5,7,8,9,3,10,6]=>[6,10,3,9,8,7,5,4,11,12,1,2]
[2,1,12,3,11,5,7,8,4,10,9,6]=>[6,9,10,4,8,7,5,11,3,12,1,2]
[2,1,12,3,4,11,7,5,9,10,8,6]=>[6,8,10,9,5,7,11,4,3,12,1,2]
[4,1,3,2,6,5,12,11,9,7,10,8]=>[8,10,7,9,11,12,5,6,2,3,1,4]
[4,1,3,2,10,9,7,5,8,6,12,11]=>[11,12,6,8,5,7,9,10,2,3,1,4]
[4,1,3,2,12,9,7,11,8,5,10,6]=>[6,10,5,8,11,7,9,12,2,3,1,4]
[4,1,3,2,12,11,6,8,9,5,10,7]=>[7,10,5,9,8,6,11,12,2,3,1,4]
[4,1,3,2,12,5,11,8,6,10,9,7]=>[7,9,10,6,8,11,5,12,2,3,1,4]
[6,5,3,1,4,2,8,7,10,9,12,11]=>[11,12,9,10,7,8,2,4,1,3,5,6]
[6,5,3,1,4,2,8,7,12,9,11,10]=>[10,11,9,12,7,8,2,4,1,3,5,6]
[6,5,3,1,4,2,10,7,9,8,12,11]=>[11,12,8,9,7,10,2,4,1,3,5,6]
[6,5,3,1,4,2,12,11,9,7,10,8]=>[8,10,7,9,11,12,2,4,1,3,5,6]
[6,5,3,1,4,2,12,7,8,10,11,9]=>[9,11,10,8,7,12,2,4,1,3,5,6]
[8,5,3,7,4,1,6,2,10,9,12,11]=>[11,12,9,10,2,6,1,4,7,3,5,8]
[8,5,3,7,4,1,6,2,12,9,11,10]=>[10,11,9,12,2,6,1,4,7,3,5,8]
[10,5,3,7,4,9,6,1,8,2,12,11]=>[11,12,2,8,1,6,9,4,7,3,5,10]
[12,5,3,7,4,9,6,11,8,1,10,2]=>[2,10,1,8,11,6,9,4,7,3,5,12]
[12,5,3,7,4,10,6,1,2,9,11,8]=>[8,11,9,2,1,6,10,4,7,3,5,12]
[10,5,3,8,4,1,2,7,9,6,12,11]=>[11,12,6,9,7,2,1,4,8,3,5,10]
[12,5,3,8,4,11,2,7,9,1,10,6]=>[6,10,1,9,7,2,11,4,8,3,5,12]
[12,5,3,8,4,1,11,7,2,10,9,6]=>[6,9,10,2,7,11,1,4,8,3,5,12]
[12,5,3,9,4,1,2,6,8,10,11,7]=>[7,11,10,8,6,2,1,4,9,3,5,12]
[10,6,3,9,2,5,7,1,8,4,12,11]=>[11,12,4,8,1,7,5,2,9,3,6,10]
[12,6,3,9,2,5,7,11,8,1,10,4]=>[4,10,1,8,11,7,5,2,9,3,6,12]
[12,6,3,10,2,5,7,1,4,9,11,8]=>[8,11,9,4,1,7,5,2,10,3,6,12]
[10,6,3,1,9,5,2,8,7,4,12,11]=>[11,12,4,7,8,2,5,9,1,3,6,10]
[12,6,3,11,9,5,2,8,7,1,10,4]=>[4,10,1,7,8,2,5,9,11,3,6,12]
[12,6,3,1,10,5,11,8,2,9,7,4]=>[4,7,9,2,8,11,5,10,1,3,6,12]
[12,6,3,1,10,5,2,4,9,8,11,7]=>[7,11,8,9,4,2,5,10,1,3,6,12]
[10,7,3,1,2,4,6,8,9,5,12,11]=>[11,12,5,9,8,6,4,2,1,3,7,10]
[12,7,3,11,2,4,6,8,9,1,10,5]=>[5,10,1,9,8,6,4,2,11,3,7,12]
[12,7,3,1,11,4,6,8,2,10,9,5]=>[5,9,10,2,8,6,4,11,1,3,7,12]
[12,7,3,1,2,11,6,4,9,10,8,5]=>[5,8,10,9,4,6,11,2,1,3,7,12]
[6,1,2,4,5,3,12,11,9,7,10,8]=>[8,10,7,9,11,12,3,5,4,2,1,6]
[8,7,2,4,5,1,6,3,10,9,12,11]=>[11,12,9,10,3,6,1,5,4,2,7,8]
[8,7,2,4,5,1,6,3,12,9,11,10]=>[10,11,9,12,3,6,1,5,4,2,7,8]
[10,7,2,4,5,9,6,1,8,3,12,11]=>[11,12,3,8,1,6,9,5,4,2,7,10]
[12,7,2,4,5,9,6,11,8,1,10,3]=>[3,10,1,8,11,6,9,5,4,2,7,12]
[12,7,2,4,5,10,6,1,3,9,11,8]=>[8,11,9,3,1,6,10,5,4,2,7,12]
[12,8,2,4,5,11,3,7,9,1,10,6]=>[6,10,1,9,7,3,11,5,4,2,8,12]
[12,8,2,4,5,1,11,7,3,10,9,6]=>[6,9,10,3,7,11,1,5,4,2,8,12]
[12,9,2,4,5,1,3,6,8,10,11,7]=>[7,11,10,8,6,3,1,5,4,2,9,12]
[8,1,7,4,2,6,5,3,10,9,12,11]=>[11,12,9,10,3,5,6,2,4,7,1,8]
[8,1,7,4,2,6,5,3,12,9,11,10]=>[10,11,9,12,3,5,6,2,4,7,1,8]
[10,9,7,4,2,6,5,1,8,3,12,11]=>[11,12,3,8,1,5,6,2,4,7,9,10]
[12,9,7,4,2,6,5,11,8,1,10,3]=>[3,10,1,8,11,5,6,2,4,7,9,12]
[12,10,7,4,2,6,5,1,3,9,11,8]=>[8,11,9,3,1,5,6,2,4,7,10,12]
[10,1,8,4,9,6,2,7,5,3,12,11]=>[11,12,3,5,7,2,6,9,4,8,1,10]
[12,11,8,4,9,6,2,7,5,1,10,3]=>[3,10,1,5,7,2,6,9,4,8,11,12]
[12,1,8,4,10,6,11,7,2,9,5,3]=>[3,5,9,2,7,11,6,10,4,8,1,12]
[12,1,9,4,10,6,2,3,8,7,11,5]=>[5,11,7,8,3,2,6,10,4,9,1,12]
[12,11,8,4,2,3,7,6,9,1,10,5]=>[5,10,1,9,6,7,3,2,4,8,11,12]
[12,1,8,4,11,3,7,6,2,10,9,5]=>[5,9,10,2,6,7,3,11,4,8,1,12]
[12,1,9,4,2,11,7,3,8,10,6,5]=>[5,6,10,8,3,7,11,2,4,9,1,12]
[12,1,9,4,2,3,5,8,7,10,11,6]=>[6,11,10,7,8,5,3,2,4,9,1,12]
[10,9,2,3,5,6,7,1,8,4,12,11]=>[11,12,4,8,1,7,6,5,3,2,9,10]
[12,9,2,3,5,6,7,11,8,1,10,4]=>[4,10,1,8,11,7,6,5,3,2,9,12]
[10,1,9,3,5,6,2,8,7,4,12,11]=>[11,12,4,7,8,2,6,5,3,9,1,10]
[12,11,9,3,5,6,2,8,7,1,10,4]=>[4,10,1,7,8,2,6,5,3,9,11,12]
[12,1,10,3,5,6,11,8,2,9,7,4]=>[4,7,9,2,8,11,6,5,3,10,1,12]
[10,1,2,9,5,3,7,8,6,4,12,11]=>[11,12,4,6,8,7,3,5,9,2,1,10]
[12,11,2,9,5,3,7,8,6,1,10,4]=>[4,10,1,6,8,7,3,5,9,2,11,12]
[12,1,11,10,5,3,7,8,2,9,6,4]=>[4,6,9,2,8,7,3,5,10,11,1,12]
[12,1,2,10,5,11,7,3,9,8,6,4]=>[4,6,8,9,3,7,11,5,10,2,1,12]
[12,11,2,3,4,6,7,8,9,1,10,5]=>[5,10,1,9,8,7,6,4,3,2,11,12]
[12,1,11,3,4,6,7,8,2,10,9,5]=>[5,9,10,2,8,7,6,4,3,11,1,12]
[12,1,2,11,4,6,7,3,9,10,8,5]=>[5,8,10,9,3,7,6,4,11,2,1,12]
[12,1,2,3,11,6,4,8,9,10,7,5]=>[5,7,10,9,8,4,6,11,3,2,1,12]
[12,2,9,4,7,6,8,5,10,11,3,1]=>[1,3,11,10,5,8,6,7,4,9,2,12]
[11,2,10,4,7,6,8,9,5,3,12,1]=>[1,12,3,5,9,8,6,7,4,10,2,11]
[12,2,10,4,7,6,8,9,5,11,3,1]=>[1,3,11,5,9,8,6,7,4,10,2,12]
[12,2,11,4,7,6,8,9,10,5,3,1]=>[1,3,5,10,9,8,6,7,4,11,2,12]
[11,2,9,4,8,7,6,5,10,3,12,1]=>[1,12,3,10,5,6,7,8,4,9,2,11]
[12,2,9,4,8,7,6,5,10,11,3,1]=>[1,3,11,10,5,6,7,8,4,9,2,12]
[11,2,10,4,8,7,6,9,5,3,12,1]=>[1,12,3,5,9,6,7,8,4,10,2,11]
[12,2,10,4,8,7,6,9,5,11,3,1]=>[1,3,11,5,9,6,7,8,4,10,2,12]
[12,2,11,4,8,7,6,9,10,5,3,1]=>[1,3,5,10,9,6,7,8,4,11,2,12]
[11,2,10,4,9,7,8,6,5,3,12,1]=>[1,12,3,5,6,8,7,9,4,10,2,11]
[12,2,10,4,9,7,8,6,5,11,3,1]=>[1,3,11,5,6,8,7,9,4,10,2,12]
[12,2,11,4,9,7,8,6,10,5,3,1]=>[1,3,5,10,6,8,7,9,4,11,2,12]
[12,2,11,4,10,7,8,9,6,5,3,1]=>[1,3,5,6,9,8,7,10,4,11,2,12]
[11,2,9,7,5,6,8,4,10,3,12,1]=>[1,12,3,10,4,8,6,5,7,9,2,11]
[12,2,9,7,5,6,8,4,10,11,3,1]=>[1,3,11,10,4,8,6,5,7,9,2,12]
[11,2,10,7,5,6,8,9,4,3,12,1]=>[1,12,3,4,9,8,6,5,7,10,2,11]
[12,2,10,7,5,6,8,9,4,11,3,1]=>[1,3,11,4,9,8,6,5,7,10,2,12]
[12,2,11,7,5,6,8,9,10,4,3,1]=>[1,3,4,10,9,8,6,5,7,11,2,12]
[11,2,9,8,5,7,6,4,10,3,12,1]=>[1,12,3,10,4,6,7,5,8,9,2,11]
[12,2,9,8,5,7,6,4,10,11,3,1]=>[1,3,11,10,4,6,7,5,8,9,2,12]
[11,2,10,8,5,7,6,9,4,3,12,1]=>[1,12,3,4,9,6,7,5,8,10,2,11]
[12,2,10,8,5,7,6,9,4,11,3,1]=>[1,3,11,4,9,6,7,5,8,10,2,12]
[12,2,11,8,5,7,6,9,10,4,3,1]=>[1,3,4,10,9,6,7,5,8,11,2,12]
[11,2,10,9,5,7,8,6,4,3,12,1]=>[1,12,3,4,6,8,7,5,9,10,2,11]
[12,2,10,9,5,7,8,6,4,11,3,1]=>[1,3,11,4,6,8,7,5,9,10,2,12]
[12,2,11,9,5,7,8,6,10,4,3,1]=>[1,3,4,10,6,8,7,5,9,11,2,12]
[12,2,11,10,5,7,8,9,6,4,3,1]=>[1,3,4,6,9,8,7,5,10,11,2,12]
[11,2,9,8,7,6,5,4,10,3,12,1]=>[1,12,3,10,4,5,6,7,8,9,2,11]
[12,2,9,8,7,6,5,4,10,11,3,1]=>[1,3,11,10,4,5,6,7,8,9,2,12]
[11,2,10,8,7,6,5,9,4,3,12,1]=>[1,12,3,4,9,5,6,7,8,10,2,11]
[12,2,10,8,7,6,5,9,4,11,3,1]=>[1,3,11,4,9,5,6,7,8,10,2,12]
[12,2,11,8,7,6,5,9,10,4,3,1]=>[1,3,4,10,9,5,6,7,8,11,2,12]
[11,2,10,9,7,6,8,5,4,3,12,1]=>[1,12,3,4,5,8,6,7,9,10,2,11]
[12,2,10,9,7,6,8,5,4,11,3,1]=>[1,3,11,4,5,8,6,7,9,10,2,12]
[12,2,11,9,7,6,8,5,10,4,3,1]=>[1,3,4,10,5,8,6,7,9,11,2,12]
[12,2,11,10,7,6,8,9,5,4,3,1]=>[1,3,4,5,9,8,6,7,10,11,2,12]
[11,2,10,9,8,7,6,5,4,3,12,1]=>[1,12,3,4,5,6,7,8,9,10,2,11]
[12,2,10,9,8,7,6,5,4,11,3,1]=>[1,3,11,4,5,6,7,8,9,10,2,12]
[12,2,11,9,8,7,6,5,10,4,3,1]=>[1,3,4,10,5,6,7,8,9,11,2,12]
[12,2,11,10,8,7,6,9,5,4,3,1]=>[1,3,4,5,9,6,7,8,10,11,2,12]
[12,2,11,10,9,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,9,10,11,2,12]
[11,9,3,4,7,6,8,5,10,2,12,1]=>[1,12,2,10,5,8,6,7,4,3,9,11]
[12,9,3,4,7,6,8,5,10,11,2,1]=>[1,2,11,10,5,8,6,7,4,3,9,12]
[11,10,3,4,7,6,8,9,5,2,12,1]=>[1,12,2,5,9,8,6,7,4,3,10,11]
[12,10,3,4,7,6,8,9,5,11,2,1]=>[1,2,11,5,9,8,6,7,4,3,10,12]
[12,11,3,4,7,6,8,9,10,5,2,1]=>[1,2,5,10,9,8,6,7,4,3,11,12]
[11,9,3,4,8,7,6,5,10,2,12,1]=>[1,12,2,10,5,6,7,8,4,3,9,11]
[12,9,3,4,8,7,6,5,10,11,2,1]=>[1,2,11,10,5,6,7,8,4,3,9,12]
[11,10,3,4,8,7,6,9,5,2,12,1]=>[1,12,2,5,9,6,7,8,4,3,10,11]
[12,10,3,4,8,7,6,9,5,11,2,1]=>[1,2,11,5,9,6,7,8,4,3,10,12]
[12,11,3,4,8,7,6,9,10,5,2,1]=>[1,2,5,10,9,6,7,8,4,3,11,12]
[11,10,3,4,9,7,8,6,5,2,12,1]=>[1,12,2,5,6,8,7,9,4,3,10,11]
[12,10,3,4,9,7,8,6,5,11,2,1]=>[1,2,11,5,6,8,7,9,4,3,10,12]
[12,11,3,4,9,7,8,6,10,5,2,1]=>[1,2,5,10,6,8,7,9,4,3,11,12]
[12,11,3,4,10,7,8,9,6,5,2,1]=>[1,2,5,6,9,8,7,10,4,3,11,12]
[11,9,3,7,5,6,8,4,10,2,12,1]=>[1,12,2,10,4,8,6,5,7,3,9,11]
[12,9,3,7,5,6,8,4,10,11,2,1]=>[1,2,11,10,4,8,6,5,7,3,9,12]
[11,10,3,7,5,6,8,9,4,2,12,1]=>[1,12,2,4,9,8,6,5,7,3,10,11]
[12,10,3,7,5,6,8,9,4,11,2,1]=>[1,2,11,4,9,8,6,5,7,3,10,12]
[12,11,3,7,5,6,8,9,10,4,2,1]=>[1,2,4,10,9,8,6,5,7,3,11,12]
[11,9,3,8,5,7,6,4,10,2,12,1]=>[1,12,2,10,4,6,7,5,8,3,9,11]
[12,9,3,8,5,7,6,4,10,11,2,1]=>[1,2,11,10,4,6,7,5,8,3,9,12]
[11,10,3,8,5,7,6,9,4,2,12,1]=>[1,12,2,4,9,6,7,5,8,3,10,11]
[12,10,3,8,5,7,6,9,4,11,2,1]=>[1,2,11,4,9,6,7,5,8,3,10,12]
[12,11,3,8,5,7,6,9,10,4,2,1]=>[1,2,4,10,9,6,7,5,8,3,11,12]
[11,10,3,9,5,7,8,6,4,2,12,1]=>[1,12,2,4,6,8,7,5,9,3,10,11]
[12,10,3,9,5,7,8,6,4,11,2,1]=>[1,2,11,4,6,8,7,5,9,3,10,12]
[12,11,3,9,5,7,8,6,10,4,2,1]=>[1,2,4,10,6,8,7,5,9,3,11,12]
[12,11,3,10,5,7,8,9,6,4,2,1]=>[1,2,4,6,9,8,7,5,10,3,11,12]
[11,9,3,8,7,6,5,4,10,2,12,1]=>[1,12,2,10,4,5,6,7,8,3,9,11]
[12,9,3,8,7,6,5,4,10,11,2,1]=>[1,2,11,10,4,5,6,7,8,3,9,12]
[11,10,3,8,7,6,5,9,4,2,12,1]=>[1,12,2,4,9,5,6,7,8,3,10,11]
[12,10,3,8,7,6,5,9,4,11,2,1]=>[1,2,11,4,9,5,6,7,8,3,10,12]
[12,11,3,8,7,6,5,9,10,4,2,1]=>[1,2,4,10,9,5,6,7,8,3,11,12]
[11,10,3,9,7,6,8,5,4,2,12,1]=>[1,12,2,4,5,8,6,7,9,3,10,11]
[12,10,3,9,7,6,8,5,4,11,2,1]=>[1,2,11,4,5,8,6,7,9,3,10,12]
[12,11,3,9,7,6,8,5,10,4,2,1]=>[1,2,4,10,5,8,6,7,9,3,11,12]
[12,11,3,10,7,6,8,9,5,4,2,1]=>[1,2,4,5,9,8,6,7,10,3,11,12]
[11,10,3,9,8,7,6,5,4,2,12,1]=>[1,12,2,4,5,6,7,8,9,3,10,11]
[12,10,3,9,8,7,6,5,4,11,2,1]=>[1,2,11,4,5,6,7,8,9,3,10,12]
[12,11,3,9,8,7,6,5,10,4,2,1]=>[1,2,4,10,5,6,7,8,9,3,11,12]
[12,11,3,10,8,7,6,9,5,4,2,1]=>[1,2,4,5,9,6,7,8,10,3,11,12]
[12,11,3,10,9,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,9,10,3,11,12]
[11,9,7,4,5,6,8,3,10,2,12,1]=>[1,12,2,10,3,8,6,5,4,7,9,11]
[12,9,7,4,5,6,8,3,10,11,2,1]=>[1,2,11,10,3,8,6,5,4,7,9,12]
[11,10,7,4,5,6,8,9,3,2,12,1]=>[1,12,2,3,9,8,6,5,4,7,10,11]
[12,10,7,4,5,6,8,9,3,11,2,1]=>[1,2,11,3,9,8,6,5,4,7,10,12]
[12,11,7,4,5,6,8,9,10,3,2,1]=>[1,2,3,10,9,8,6,5,4,7,11,12]
[11,9,8,4,5,7,6,3,10,2,12,1]=>[1,12,2,10,3,6,7,5,4,8,9,11]
[12,9,8,4,5,7,6,3,10,11,2,1]=>[1,2,11,10,3,6,7,5,4,8,9,12]
[11,10,8,4,5,7,6,9,3,2,12,1]=>[1,12,2,3,9,6,7,5,4,8,10,11]
[12,10,8,4,5,7,6,9,3,11,2,1]=>[1,2,11,3,9,6,7,5,4,8,10,12]
[12,11,8,4,5,7,6,9,10,3,2,1]=>[1,2,3,10,9,6,7,5,4,8,11,12]
[11,10,9,4,5,7,8,6,3,2,12,1]=>[1,12,2,3,6,8,7,5,4,9,10,11]
[12,10,9,4,5,7,8,6,3,11,2,1]=>[1,2,11,3,6,8,7,5,4,9,10,12]
[12,11,9,4,5,7,8,6,10,3,2,1]=>[1,2,3,10,6,8,7,5,4,9,11,12]
[12,11,10,4,5,7,8,9,6,3,2,1]=>[1,2,3,6,9,8,7,5,4,10,11,12]
[11,9,8,4,7,6,5,3,10,2,12,1]=>[1,12,2,10,3,5,6,7,4,8,9,11]
[12,9,8,4,7,6,5,3,10,11,2,1]=>[1,2,11,10,3,5,6,7,4,8,9,12]
[11,10,8,4,7,6,5,9,3,2,12,1]=>[1,12,2,3,9,5,6,7,4,8,10,11]
[12,10,8,4,7,6,5,9,3,11,2,1]=>[1,2,11,3,9,5,6,7,4,8,10,12]
[12,11,8,4,7,6,5,9,10,3,2,1]=>[1,2,3,10,9,5,6,7,4,8,11,12]
[11,10,9,4,7,6,8,5,3,2,12,1]=>[1,12,2,3,5,8,6,7,4,9,10,11]
[12,10,9,4,7,6,8,5,3,11,2,1]=>[1,2,11,3,5,8,6,7,4,9,10,12]
[12,11,9,4,7,6,8,5,10,3,2,1]=>[1,2,3,10,5,8,6,7,4,9,11,12]
[12,11,10,4,7,6,8,9,5,3,2,1]=>[1,2,3,5,9,8,6,7,4,10,11,12]
[11,10,9,4,8,7,6,5,3,2,12,1]=>[1,12,2,3,5,6,7,8,4,9,10,11]
[12,10,9,4,8,7,6,5,3,11,2,1]=>[1,2,11,3,5,6,7,8,4,9,10,12]
[12,11,9,4,8,7,6,5,10,3,2,1]=>[1,2,3,10,5,6,7,8,4,9,11,12]
[12,11,10,4,8,7,6,9,5,3,2,1]=>[1,2,3,5,9,6,7,8,4,10,11,12]
[12,11,10,4,9,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,9,4,10,11,12]
[11,9,8,7,5,6,4,3,10,2,12,1]=>[1,12,2,10,3,4,6,5,7,8,9,11]
[12,9,8,7,5,6,4,3,10,11,2,1]=>[1,2,11,10,3,4,6,5,7,8,9,12]
[11,10,8,7,5,6,4,9,3,2,12,1]=>[1,12,2,3,9,4,6,5,7,8,10,11]
[12,10,8,7,5,6,4,9,3,11,2,1]=>[1,2,11,3,9,4,6,5,7,8,10,12]
[12,11,8,7,5,6,4,9,10,3,2,1]=>[1,2,3,10,9,4,6,5,7,8,11,12]
[11,10,9,7,5,6,8,4,3,2,12,1]=>[1,12,2,3,4,8,6,5,7,9,10,11]
[12,10,9,7,5,6,8,4,3,11,2,1]=>[1,2,11,3,4,8,6,5,7,9,10,12]
[12,11,9,7,5,6,8,4,10,3,2,1]=>[1,2,3,10,4,8,6,5,7,9,11,12]
[12,11,10,7,5,6,8,9,4,3,2,1]=>[1,2,3,4,9,8,6,5,7,10,11,12]
[11,10,9,8,5,7,6,4,3,2,12,1]=>[1,12,2,3,4,6,7,5,8,9,10,11]
[12,10,9,8,5,7,6,4,3,11,2,1]=>[1,2,11,3,4,6,7,5,8,9,10,12]
[12,11,9,8,5,7,6,4,10,3,2,1]=>[1,2,3,10,4,6,7,5,8,9,11,12]
[12,11,10,8,5,7,6,9,4,3,2,1]=>[1,2,3,4,9,6,7,5,8,10,11,12]
[12,11,10,9,5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5,9,10,11,12]
[12,10,9,8,7,6,5,4,3,11,2,1]=>[1,2,11,3,4,5,6,7,8,9,10,12]
[12,11,10,8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8,10,11,12]
[12,10,8,6,3,2,1,4,5,7,9,11]=>[11,9,7,5,4,1,2,3,6,8,10,12]
[12,10,8,5,4,2,1,3,6,7,9,11]=>[11,9,7,6,3,1,2,4,5,8,10,12]
[12,10,8,5,3,2,1,4,6,7,9,11]=>[11,9,7,6,4,1,2,3,5,8,10,12]
[12,10,8,4,3,2,1,5,6,7,9,11]=>[11,9,7,6,5,1,2,3,4,8,10,12]
[12,10,7,6,4,2,1,3,5,8,9,11]=>[11,9,8,5,3,1,2,4,6,7,10,12]
[12,10,7,6,3,2,1,4,5,8,9,11]=>[11,9,8,5,4,1,2,3,6,7,10,12]
[12,10,7,5,4,2,1,3,6,8,9,11]=>[11,9,8,6,3,1,2,4,5,7,10,12]
[12,10,7,5,3,2,1,4,6,8,9,11]=>[11,9,8,6,4,1,2,3,5,7,10,12]
[12,10,7,4,3,2,1,5,6,8,9,11]=>[11,9,8,6,5,1,2,3,4,7,10,12]
[12,10,6,5,4,2,1,3,7,8,9,11]=>[11,9,8,7,3,1,2,4,5,6,10,12]
[12,10,6,5,3,2,1,4,7,8,9,11]=>[11,9,8,7,4,1,2,3,5,6,10,12]
[12,10,6,4,3,2,1,5,7,8,9,11]=>[11,9,8,7,5,1,2,3,4,6,10,12]
[12,10,5,4,3,2,1,6,7,8,9,11]=>[11,9,8,7,6,1,2,3,4,5,10,12]
[12,9,8,6,4,2,1,3,5,7,10,11]=>[11,10,7,5,3,1,2,4,6,8,9,12]
[12,9,8,6,3,2,1,4,5,7,10,11]=>[11,10,7,5,4,1,2,3,6,8,9,12]
[12,9,8,5,4,2,1,3,6,7,10,11]=>[11,10,7,6,3,1,2,4,5,8,9,12]
[12,9,8,5,3,2,1,4,6,7,10,11]=>[11,10,7,6,4,1,2,3,5,8,9,12]
[12,9,8,4,3,2,1,5,6,7,10,11]=>[11,10,7,6,5,1,2,3,4,8,9,12]
[12,9,7,6,4,2,1,3,5,8,10,11]=>[11,10,8,5,3,1,2,4,6,7,9,12]
[12,9,7,6,3,2,1,4,5,8,10,11]=>[11,10,8,5,4,1,2,3,6,7,9,12]
[12,9,7,5,4,2,1,3,6,8,10,11]=>[11,10,8,6,3,1,2,4,5,7,9,12]
[12,9,7,5,3,2,1,4,6,8,10,11]=>[11,10,8,6,4,1,2,3,5,7,9,12]
[12,9,7,4,3,2,1,5,6,8,10,11]=>[11,10,8,6,5,1,2,3,4,7,9,12]
[12,9,6,5,4,2,1,3,7,8,10,11]=>[11,10,8,7,3,1,2,4,5,6,9,12]
[12,9,6,5,3,2,1,4,7,8,10,11]=>[11,10,8,7,4,1,2,3,5,6,9,12]
[12,9,6,4,3,2,1,5,7,8,10,11]=>[11,10,8,7,5,1,2,3,4,6,9,12]
[12,9,5,4,3,2,1,6,7,8,10,11]=>[11,10,8,7,6,1,2,3,4,5,9,12]
[12,8,7,6,4,2,1,3,5,9,10,11]=>[11,10,9,5,3,1,2,4,6,7,8,12]
[12,8,7,6,3,2,1,4,5,9,10,11]=>[11,10,9,5,4,1,2,3,6,7,8,12]
[12,8,7,5,4,2,1,3,6,9,10,11]=>[11,10,9,6,3,1,2,4,5,7,8,12]
[12,8,7,5,3,2,1,4,6,9,10,11]=>[11,10,9,6,4,1,2,3,5,7,8,12]
[12,8,7,4,3,2,1,5,6,9,10,11]=>[11,10,9,6,5,1,2,3,4,7,8,12]
[12,8,6,5,4,2,1,3,7,9,10,11]=>[11,10,9,7,3,1,2,4,5,6,8,12]
[12,8,6,5,3,2,1,4,7,9,10,11]=>[11,10,9,7,4,1,2,3,5,6,8,12]
[12,8,6,4,3,2,1,5,7,9,10,11]=>[11,10,9,7,5,1,2,3,4,6,8,12]
[12,8,5,4,3,2,1,6,7,9,10,11]=>[11,10,9,7,6,1,2,3,4,5,8,12]
[12,7,6,5,4,2,1,3,8,9,10,11]=>[11,10,9,8,3,1,2,4,5,6,7,12]
[12,7,6,5,3,2,1,4,8,9,10,11]=>[11,10,9,8,4,1,2,3,5,6,7,12]
[12,7,6,4,3,2,1,5,8,9,10,11]=>[11,10,9,8,5,1,2,3,4,6,7,12]
[12,7,5,4,3,2,1,6,8,9,10,11]=>[11,10,9,8,6,1,2,3,4,5,7,12]
[12,6,5,4,3,2,1,7,8,9,10,11]=>[11,10,9,8,7,1,2,3,4,5,6,12]
[11,10,8,6,4,2,1,3,5,7,9,12]=>[12,9,7,5,3,1,2,4,6,8,10,11]
[11,10,8,6,3,2,1,4,5,7,9,12]=>[12,9,7,5,4,1,2,3,6,8,10,11]
[11,10,8,5,4,2,1,3,6,7,9,12]=>[12,9,7,6,3,1,2,4,5,8,10,11]
[11,10,8,5,3,2,1,4,6,7,9,12]=>[12,9,7,6,4,1,2,3,5,8,10,11]
[11,10,8,4,3,2,1,5,6,7,9,12]=>[12,9,7,6,5,1,2,3,4,8,10,11]
[11,10,7,6,4,2,1,3,5,8,9,12]=>[12,9,8,5,3,1,2,4,6,7,10,11]
[11,10,7,6,3,2,1,4,5,8,9,12]=>[12,9,8,5,4,1,2,3,6,7,10,11]
[11,10,7,5,4,2,1,3,6,8,9,12]=>[12,9,8,6,3,1,2,4,5,7,10,11]
[11,10,7,5,3,2,1,4,6,8,9,12]=>[12,9,8,6,4,1,2,3,5,7,10,11]
[11,10,7,4,3,2,1,5,6,8,9,12]=>[12,9,8,6,5,1,2,3,4,7,10,11]
[11,10,6,5,4,2,1,3,7,8,9,12]=>[12,9,8,7,3,1,2,4,5,6,10,11]
[11,10,6,5,3,2,1,4,7,8,9,12]=>[12,9,8,7,4,1,2,3,5,6,10,11]
[11,10,6,4,3,2,1,5,7,8,9,12]=>[12,9,8,7,5,1,2,3,4,6,10,11]
[11,10,5,4,3,2,1,6,7,8,9,12]=>[12,9,8,7,6,1,2,3,4,5,10,11]
[11,9,8,6,4,2,1,3,5,7,10,12]=>[12,10,7,5,3,1,2,4,6,8,9,11]
[11,9,8,6,3,2,1,4,5,7,10,12]=>[12,10,7,5,4,1,2,3,6,8,9,11]
[11,9,8,5,4,2,1,3,6,7,10,12]=>[12,10,7,6,3,1,2,4,5,8,9,11]
[11,9,8,5,3,2,1,4,6,7,10,12]=>[12,10,7,6,4,1,2,3,5,8,9,11]
[11,9,8,4,3,2,1,5,6,7,10,12]=>[12,10,7,6,5,1,2,3,4,8,9,11]
[11,9,7,6,4,2,1,3,5,8,10,12]=>[12,10,8,5,3,1,2,4,6,7,9,11]
[11,9,7,6,3,2,1,4,5,8,10,12]=>[12,10,8,5,4,1,2,3,6,7,9,11]
[11,9,7,5,4,2,1,3,6,8,10,12]=>[12,10,8,6,3,1,2,4,5,7,9,11]
[11,9,7,5,3,2,1,4,6,8,10,12]=>[12,10,8,6,4,1,2,3,5,7,9,11]
[11,9,7,4,3,2,1,5,6,8,10,12]=>[12,10,8,6,5,1,2,3,4,7,9,11]
[11,9,6,5,4,2,1,3,7,8,10,12]=>[12,10,8,7,3,1,2,4,5,6,9,11]
[11,9,6,5,3,2,1,4,7,8,10,12]=>[12,10,8,7,4,1,2,3,5,6,9,11]
[11,9,6,4,3,2,1,5,7,8,10,12]=>[12,10,8,7,5,1,2,3,4,6,9,11]
[11,9,5,4,3,2,1,6,7,8,10,12]=>[12,10,8,7,6,1,2,3,4,5,9,11]
[11,8,7,6,4,2,1,3,5,9,10,12]=>[12,10,9,5,3,1,2,4,6,7,8,11]
[11,8,7,6,3,2,1,4,5,9,10,12]=>[12,10,9,5,4,1,2,3,6,7,8,11]
[11,8,7,5,4,2,1,3,6,9,10,12]=>[12,10,9,6,3,1,2,4,5,7,8,11]
[11,8,7,5,3,2,1,4,6,9,10,12]=>[12,10,9,6,4,1,2,3,5,7,8,11]
[11,8,7,4,3,2,1,5,6,9,10,12]=>[12,10,9,6,5,1,2,3,4,7,8,11]
[11,8,6,5,4,2,1,3,7,9,10,12]=>[12,10,9,7,3,1,2,4,5,6,8,11]
[11,8,6,5,3,2,1,4,7,9,10,12]=>[12,10,9,7,4,1,2,3,5,6,8,11]
[11,8,6,4,3,2,1,5,7,9,10,12]=>[12,10,9,7,5,1,2,3,4,6,8,11]
[11,8,5,4,3,2,1,6,7,9,10,12]=>[12,10,9,7,6,1,2,3,4,5,8,11]
[11,7,6,5,4,2,1,3,8,9,10,12]=>[12,10,9,8,3,1,2,4,5,6,7,11]
[11,7,6,5,3,2,1,4,8,9,10,12]=>[12,10,9,8,4,1,2,3,5,6,7,11]
[11,7,6,4,3,2,1,5,8,9,10,12]=>[12,10,9,8,5,1,2,3,4,6,7,11]
[11,7,5,4,3,2,1,6,8,9,10,12]=>[12,10,9,8,6,1,2,3,4,5,7,11]
[11,6,5,4,3,2,1,7,8,9,10,12]=>[12,10,9,8,7,1,2,3,4,5,6,11]
[10,9,8,6,4,2,1,3,5,7,11,12]=>[12,11,7,5,3,1,2,4,6,8,9,10]
[10,9,8,6,3,2,1,4,5,7,11,12]=>[12,11,7,5,4,1,2,3,6,8,9,10]
[10,9,8,5,4,2,1,3,6,7,11,12]=>[12,11,7,6,3,1,2,4,5,8,9,10]
[10,9,8,5,3,2,1,4,6,7,11,12]=>[12,11,7,6,4,1,2,3,5,8,9,10]
[10,9,8,4,3,2,1,5,6,7,11,12]=>[12,11,7,6,5,1,2,3,4,8,9,10]
[10,9,7,6,4,2,1,3,5,8,11,12]=>[12,11,8,5,3,1,2,4,6,7,9,10]
[10,9,7,6,3,2,1,4,5,8,11,12]=>[12,11,8,5,4,1,2,3,6,7,9,10]
[10,9,7,5,4,2,1,3,6,8,11,12]=>[12,11,8,6,3,1,2,4,5,7,9,10]
[10,9,7,5,3,2,1,4,6,8,11,12]=>[12,11,8,6,4,1,2,3,5,7,9,10]
[10,9,7,4,3,2,1,5,6,8,11,12]=>[12,11,8,6,5,1,2,3,4,7,9,10]
[10,9,6,5,4,2,1,3,7,8,11,12]=>[12,11,8,7,3,1,2,4,5,6,9,10]
[10,9,6,5,3,2,1,4,7,8,11,12]=>[12,11,8,7,4,1,2,3,5,6,9,10]
[10,9,6,4,3,2,1,5,7,8,11,12]=>[12,11,8,7,5,1,2,3,4,6,9,10]
[10,9,5,4,3,2,1,6,7,8,11,12]=>[12,11,8,7,6,1,2,3,4,5,9,10]
[10,8,7,6,4,2,1,3,5,9,11,12]=>[12,11,9,5,3,1,2,4,6,7,8,10]
[10,8,7,6,3,2,1,4,5,9,11,12]=>[12,11,9,5,4,1,2,3,6,7,8,10]
[10,8,7,5,4,2,1,3,6,9,11,12]=>[12,11,9,6,3,1,2,4,5,7,8,10]
[10,8,7,5,3,2,1,4,6,9,11,12]=>[12,11,9,6,4,1,2,3,5,7,8,10]
[10,8,7,4,3,2,1,5,6,9,11,12]=>[12,11,9,6,5,1,2,3,4,7,8,10]
[10,8,6,5,4,2,1,3,7,9,11,12]=>[12,11,9,7,3,1,2,4,5,6,8,10]
[10,8,6,5,3,2,1,4,7,9,11,12]=>[12,11,9,7,4,1,2,3,5,6,8,10]
[10,8,6,4,3,2,1,5,7,9,11,12]=>[12,11,9,7,5,1,2,3,4,6,8,10]
[10,8,5,4,3,2,1,6,7,9,11,12]=>[12,11,9,7,6,1,2,3,4,5,8,10]
[10,7,6,5,4,2,1,3,8,9,11,12]=>[12,11,9,8,3,1,2,4,5,6,7,10]
[10,7,6,5,3,2,1,4,8,9,11,12]=>[12,11,9,8,4,1,2,3,5,6,7,10]
[10,7,6,4,3,2,1,5,8,9,11,12]=>[12,11,9,8,5,1,2,3,4,6,7,10]
[10,7,5,4,3,2,1,6,8,9,11,12]=>[12,11,9,8,6,1,2,3,4,5,7,10]
[10,6,5,4,3,2,1,7,8,9,11,12]=>[12,11,9,8,7,1,2,3,4,5,6,10]
[9,8,7,6,4,2,1,3,5,10,11,12]=>[12,11,10,5,3,1,2,4,6,7,8,9]
[9,8,7,6,3,2,1,4,5,10,11,12]=>[12,11,10,5,4,1,2,3,6,7,8,9]
[9,8,7,5,4,2,1,3,6,10,11,12]=>[12,11,10,6,3,1,2,4,5,7,8,9]
[9,8,7,5,3,2,1,4,6,10,11,12]=>[12,11,10,6,4,1,2,3,5,7,8,9]
[9,8,7,4,3,2,1,5,6,10,11,12]=>[12,11,10,6,5,1,2,3,4,7,8,9]
[9,8,6,5,4,2,1,3,7,10,11,12]=>[12,11,10,7,3,1,2,4,5,6,8,9]
[9,8,6,5,3,2,1,4,7,10,11,12]=>[12,11,10,7,4,1,2,3,5,6,8,9]
[9,8,6,4,3,2,1,5,7,10,11,12]=>[12,11,10,7,5,1,2,3,4,6,8,9]
[9,8,5,4,3,2,1,6,7,10,11,12]=>[12,11,10,7,6,1,2,3,4,5,8,9]
[9,7,6,5,4,2,1,3,8,10,11,12]=>[12,11,10,8,3,1,2,4,5,6,7,9]
[9,7,6,5,3,2,1,4,8,10,11,12]=>[12,11,10,8,4,1,2,3,5,6,7,9]
[9,7,6,4,3,2,1,5,8,10,11,12]=>[12,11,10,8,5,1,2,3,4,6,7,9]
[9,7,5,4,3,2,1,6,8,10,11,12]=>[12,11,10,8,6,1,2,3,4,5,7,9]
[9,6,5,4,3,2,1,7,8,10,11,12]=>[12,11,10,8,7,1,2,3,4,5,6,9]
[8,7,6,5,4,2,1,3,9,10,11,12]=>[12,11,10,9,3,1,2,4,5,6,7,8]
[8,7,6,5,3,2,1,4,9,10,11,12]=>[12,11,10,9,4,1,2,3,5,6,7,8]
[8,7,6,4,3,2,1,5,9,10,11,12]=>[12,11,10,9,5,1,2,3,4,6,7,8]
[8,7,5,4,3,2,1,6,9,10,11,12]=>[12,11,10,9,6,1,2,3,4,5,7,8]
[8,6,5,4,3,2,1,7,9,10,11,12]=>[12,11,10,9,7,1,2,3,4,5,6,8]
[4,1,6,3,9,5,10,12,8,7,11,2]=>[2,11,7,8,12,10,5,9,3,6,1,4]
[4,1,6,3,9,5,11,12,8,10,7,2]=>[2,7,10,8,12,11,5,9,3,6,1,4]
[4,1,6,3,10,5,11,12,9,8,7,2]=>[2,7,8,9,12,11,5,10,3,6,1,4]
[4,1,7,3,8,10,6,5,12,9,11,2]=>[2,11,9,12,5,6,10,8,3,7,1,4]
[4,1,7,3,8,11,6,5,12,10,9,2]=>[2,9,10,12,5,6,11,8,3,7,1,4]
[4,1,7,3,9,10,6,12,8,5,11,2]=>[2,11,5,8,12,6,10,9,3,7,1,4]
[4,1,7,3,9,11,6,12,8,10,5,2]=>[2,5,10,8,12,6,11,9,3,7,1,4]
[4,1,7,3,10,11,6,12,9,8,5,2]=>[2,5,8,9,12,6,11,10,3,7,1,4]
[4,1,8,3,9,10,12,7,6,5,11,2]=>[2,11,5,6,7,12,10,9,3,8,1,4]
[4,1,8,3,9,11,12,7,6,10,5,2]=>[2,5,10,6,7,12,11,9,3,8,1,4]
[4,1,8,3,10,11,12,7,9,6,5,2]=>[2,5,6,9,7,12,11,10,3,8,1,4]
[4,1,9,3,10,11,12,8,7,6,5,2]=>[2,5,6,7,8,12,11,10,3,9,1,4]
[5,1,6,8,4,3,10,7,12,9,11,2]=>[2,11,9,12,7,10,3,4,8,6,1,5]
[5,1,6,8,4,3,11,7,12,10,9,2]=>[2,9,10,12,7,11,3,4,8,6,1,5]
[5,1,6,9,4,3,10,12,8,7,11,2]=>[2,11,7,8,12,10,3,4,9,6,1,5]
[5,1,6,9,4,3,11,12,8,10,7,2]=>[2,7,10,8,12,11,3,4,9,6,1,5]
[5,1,6,10,4,3,11,12,9,8,7,2]=>[2,7,8,9,12,11,3,4,10,6,1,5]
[5,1,7,8,4,10,6,3,12,9,11,2]=>[2,11,9,12,3,6,10,4,8,7,1,5]
[5,1,7,8,4,11,6,3,12,10,9,2]=>[2,9,10,12,3,6,11,4,8,7,1,5]
[5,1,7,9,4,10,6,12,8,3,11,2]=>[2,11,3,8,12,6,10,4,9,7,1,5]
[5,1,7,9,4,11,6,12,8,10,3,2]=>[2,3,10,8,12,6,11,4,9,7,1,5]
[5,1,7,10,4,11,6,12,9,8,3,2]=>[2,3,8,9,12,6,11,4,10,7,1,5]
[5,1,8,9,4,10,12,7,6,3,11,2]=>[2,11,3,6,7,12,10,4,9,8,1,5]
[5,1,8,9,4,11,12,7,6,10,3,2]=>[2,3,10,6,7,12,11,4,9,8,1,5]
[5,1,8,10,4,11,12,7,9,6,3,2]=>[2,3,6,9,7,12,11,4,10,8,1,5]
[5,1,9,10,4,11,12,8,7,6,3,2]=>[2,3,6,7,8,12,11,4,10,9,1,5]
[6,1,7,8,10,5,4,3,12,9,11,2]=>[2,11,9,12,3,4,5,10,8,7,1,6]
[6,1,7,8,11,5,4,3,12,10,9,2]=>[2,9,10,12,3,4,5,11,8,7,1,6]
[6,1,7,9,10,5,4,12,8,3,11,2]=>[2,11,3,8,12,4,5,10,9,7,1,6]
[6,1,7,9,11,5,4,12,8,10,3,2]=>[2,3,10,8,12,4,5,11,9,7,1,6]
[6,1,7,10,11,5,4,12,9,8,3,2]=>[2,3,8,9,12,4,5,11,10,7,1,6]
[6,1,8,9,10,5,12,7,4,3,11,2]=>[2,11,3,4,7,12,5,10,9,8,1,6]
[6,1,8,9,11,5,12,7,4,10,3,2]=>[2,3,10,4,7,12,5,11,9,8,1,6]
[6,1,8,10,11,5,12,7,9,4,3,2]=>[2,3,4,9,7,12,5,11,10,8,1,6]
[6,1,9,10,11,5,12,8,7,4,3,2]=>[2,3,4,7,8,12,5,11,10,9,1,6]
[7,1,8,9,10,12,6,5,4,3,11,2]=>[2,11,3,4,5,6,12,10,9,8,1,7]
[7,1,8,9,11,12,6,5,4,10,3,2]=>[2,3,10,4,5,6,12,11,9,8,1,7]
[7,1,8,10,11,12,6,5,9,4,3,2]=>[2,3,4,9,5,6,12,11,10,8,1,7]
[7,1,9,10,11,12,6,8,5,4,3,2]=>[2,3,4,5,8,6,12,11,10,9,1,7]
[8,1,9,10,11,12,7,6,5,4,3,2]=>[2,3,4,5,6,7,12,11,10,9,1,8]
[4,6,2,1,8,5,10,7,12,9,11,3]=>[3,11,9,12,7,10,5,8,1,2,6,4]
[4,6,2,1,8,5,11,7,12,10,9,3]=>[3,9,10,12,7,11,5,8,1,2,6,4]
[4,6,2,1,9,5,10,12,8,7,11,3]=>[3,11,7,8,12,10,5,9,1,2,6,4]
[4,6,2,1,9,5,11,12,8,10,7,3]=>[3,7,10,8,12,11,5,9,1,2,6,4]
[4,6,2,1,10,5,11,12,9,8,7,3]=>[3,7,8,9,12,11,5,10,1,2,6,4]
[4,7,2,1,8,10,6,5,12,9,11,3]=>[3,11,9,12,5,6,10,8,1,2,7,4]
[4,7,2,1,8,11,6,5,12,10,9,3]=>[3,9,10,12,5,6,11,8,1,2,7,4]
[4,7,2,1,9,10,6,12,8,5,11,3]=>[3,11,5,8,12,6,10,9,1,2,7,4]
[4,7,2,1,9,11,6,12,8,10,5,3]=>[3,5,10,8,12,6,11,9,1,2,7,4]
[4,7,2,1,10,11,6,12,9,8,5,3]=>[3,5,8,9,12,6,11,10,1,2,7,4]
[4,8,2,1,9,10,12,7,6,5,11,3]=>[3,11,5,6,7,12,10,9,1,2,8,4]
[4,8,2,1,9,11,12,7,6,10,5,3]=>[3,5,10,6,7,12,11,9,1,2,8,4]
[4,8,2,1,10,11,12,7,9,6,5,3]=>[3,5,6,9,7,12,11,10,1,2,8,4]
[4,9,2,1,10,11,12,8,7,6,5,3]=>[3,5,6,7,8,12,11,10,1,2,9,4]
[5,6,2,8,4,1,10,7,12,9,11,3]=>[3,11,9,12,7,10,1,4,8,2,6,5]
[5,6,2,8,4,1,11,7,12,10,9,3]=>[3,9,10,12,7,11,1,4,8,2,6,5]
[5,6,2,9,4,1,10,12,8,7,11,3]=>[3,11,7,8,12,10,1,4,9,2,6,5]
[5,6,2,9,4,1,11,12,8,10,7,3]=>[3,7,10,8,12,11,1,4,9,2,6,5]
[5,6,2,10,4,1,11,12,9,8,7,3]=>[3,7,8,9,12,11,1,4,10,2,6,5]
[5,7,2,8,4,10,6,1,12,9,11,3]=>[3,11,9,12,1,6,10,4,8,2,7,5]
[5,7,2,8,4,11,6,1,12,10,9,3]=>[3,9,10,12,1,6,11,4,8,2,7,5]
[5,7,2,9,4,10,6,12,8,1,11,3]=>[3,11,1,8,12,6,10,4,9,2,7,5]
[5,7,2,9,4,11,6,12,8,10,1,3]=>[3,1,10,8,12,6,11,4,9,2,7,5]
[5,7,2,10,4,11,6,12,9,8,1,3]=>[3,1,8,9,12,6,11,4,10,2,7,5]
[5,8,2,9,4,10,12,7,6,1,11,3]=>[3,11,1,6,7,12,10,4,9,2,8,5]
[5,8,2,9,4,11,12,7,6,10,1,3]=>[3,1,10,6,7,12,11,4,9,2,8,5]
[5,8,2,10,4,11,12,7,9,6,1,3]=>[3,1,6,9,7,12,11,4,10,2,8,5]
[5,9,2,10,4,11,12,8,7,6,1,3]=>[3,1,6,7,8,12,11,4,10,2,9,5]
[6,7,2,8,10,5,4,1,12,9,11,3]=>[3,11,9,12,1,4,5,10,8,2,7,6]
[6,7,2,8,11,5,4,1,12,10,9,3]=>[3,9,10,12,1,4,5,11,8,2,7,6]
[6,7,2,9,10,5,4,12,8,1,11,3]=>[3,11,1,8,12,4,5,10,9,2,7,6]
[6,7,2,9,11,5,4,12,8,10,1,3]=>[3,1,10,8,12,4,5,11,9,2,7,6]
[6,7,2,10,11,5,4,12,9,8,1,3]=>[3,1,8,9,12,4,5,11,10,2,7,6]
[6,8,2,9,10,5,12,7,4,1,11,3]=>[3,11,1,4,7,12,5,10,9,2,8,6]
[6,8,2,9,11,5,12,7,4,10,1,3]=>[3,1,10,4,7,12,5,11,9,2,8,6]
[6,8,2,10,11,5,12,7,9,4,1,3]=>[3,1,4,9,7,12,5,11,10,2,8,6]
[6,9,2,10,11,5,12,8,7,4,1,3]=>[3,1,4,7,8,12,5,11,10,2,9,6]
[7,8,2,9,10,12,6,5,4,1,11,3]=>[3,11,1,4,5,6,12,10,9,2,8,7]
[7,8,2,9,11,12,6,5,4,10,1,3]=>[3,1,10,4,5,6,12,11,9,2,8,7]
[7,8,2,10,11,12,6,5,9,4,1,3]=>[3,1,4,9,5,6,12,11,10,2,8,7]
[7,9,2,10,11,12,6,8,5,4,1,3]=>[3,1,4,5,8,6,12,11,10,2,9,7]
[8,9,2,10,11,12,7,6,5,4,1,3]=>[3,1,4,5,6,7,12,11,10,2,9,8]
[5,6,8,3,2,1,10,7,12,9,11,4]=>[4,11,9,12,7,10,1,2,3,8,6,5]
[5,6,8,3,2,1,11,7,12,10,9,4]=>[4,9,10,12,7,11,1,2,3,8,6,5]
[5,6,9,3,2,1,10,12,8,7,11,4]=>[4,11,7,8,12,10,1,2,3,9,6,5]
[5,6,9,3,2,1,11,12,8,10,7,4]=>[4,7,10,8,12,11,1,2,3,9,6,5]
[5,6,10,3,2,1,11,12,9,8,7,4]=>[4,7,8,9,12,11,1,2,3,10,6,5]
[5,7,8,3,2,10,6,1,12,9,11,4]=>[4,11,9,12,1,6,10,2,3,8,7,5]
[5,7,8,3,2,11,6,1,12,10,9,4]=>[4,9,10,12,1,6,11,2,3,8,7,5]
[5,7,9,3,2,10,6,12,8,1,11,4]=>[4,11,1,8,12,6,10,2,3,9,7,5]
[5,7,9,3,2,11,6,12,8,10,1,4]=>[4,1,10,8,12,6,11,2,3,9,7,5]
[5,7,10,3,2,11,6,12,9,8,1,4]=>[4,1,8,9,12,6,11,2,3,10,7,5]
[5,8,9,3,2,10,12,7,6,1,11,4]=>[4,11,1,6,7,12,10,2,3,9,8,5]
[5,8,9,3,2,11,12,7,6,10,1,4]=>[4,1,10,6,7,12,11,2,3,9,8,5]
[5,8,10,3,2,11,12,7,9,6,1,4]=>[4,1,6,9,7,12,11,2,3,10,8,5]
[5,9,10,3,2,11,12,8,7,6,1,4]=>[4,1,6,7,8,12,11,2,3,10,9,5]
[6,7,8,3,10,5,2,1,12,9,11,4]=>[4,11,9,12,1,2,5,10,3,8,7,6]
[6,7,8,3,11,5,2,1,12,10,9,4]=>[4,9,10,12,1,2,5,11,3,8,7,6]
[6,7,9,3,10,5,2,12,8,1,11,4]=>[4,11,1,8,12,2,5,10,3,9,7,6]
[6,7,9,3,11,5,2,12,8,10,1,4]=>[4,1,10,8,12,2,5,11,3,9,7,6]
[6,7,10,3,11,5,2,12,9,8,1,4]=>[4,1,8,9,12,2,5,11,3,10,7,6]
[6,8,9,3,10,5,12,7,2,1,11,4]=>[4,11,1,2,7,12,5,10,3,9,8,6]
[6,8,9,3,11,5,12,7,2,10,1,4]=>[4,1,10,2,7,12,5,11,3,9,8,6]
[6,8,10,3,11,5,12,7,9,2,1,4]=>[4,1,2,9,7,12,5,11,3,10,8,6]
[6,9,10,3,11,5,12,8,7,2,1,4]=>[4,1,2,7,8,12,5,11,3,10,9,6]
[7,8,9,3,10,12,6,5,2,1,11,4]=>[4,11,1,2,5,6,12,10,3,9,8,7]
[7,8,9,3,11,12,6,5,2,10,1,4]=>[4,1,10,2,5,6,12,11,3,9,8,7]
[7,8,10,3,11,12,6,5,9,2,1,4]=>[4,1,2,9,5,6,12,11,3,10,8,7]
[7,9,10,3,11,12,6,8,5,2,1,4]=>[4,1,2,5,8,6,12,11,3,10,9,7]
[8,9,10,3,11,12,7,6,5,2,1,4]=>[4,1,2,5,6,7,12,11,3,10,9,8]
[6,7,8,10,4,3,2,1,12,9,11,5]=>[5,11,9,12,1,2,3,4,10,8,7,6]
[6,7,8,11,4,3,2,1,12,10,9,5]=>[5,9,10,12,1,2,3,4,11,8,7,6]
[6,7,9,10,4,3,2,12,8,1,11,5]=>[5,11,1,8,12,2,3,4,10,9,7,6]
[6,7,9,11,4,3,2,12,8,10,1,5]=>[5,1,10,8,12,2,3,4,11,9,7,6]
[6,7,10,11,4,3,2,12,9,8,1,5]=>[5,1,8,9,12,2,3,4,11,10,7,6]
[6,8,9,10,4,3,12,7,2,1,11,5]=>[5,11,1,2,7,12,3,4,10,9,8,6]
[6,8,9,11,4,3,12,7,2,10,1,5]=>[5,1,10,2,7,12,3,4,11,9,8,6]
[6,8,10,11,4,3,12,7,9,2,1,5]=>[5,1,2,9,7,12,3,4,11,10,8,6]
[6,9,10,11,4,3,12,8,7,2,1,5]=>[5,1,2,7,8,12,3,4,11,10,9,6]
[7,8,9,10,4,12,6,3,2,1,11,5]=>[5,11,1,2,3,6,12,4,10,9,8,7]
[7,8,9,11,4,12,6,3,2,10,1,5]=>[5,1,10,2,3,6,12,4,11,9,8,7]
[7,8,10,11,4,12,6,3,9,2,1,5]=>[5,1,2,9,3,6,12,4,11,10,8,7]
[7,9,10,11,4,12,6,8,3,2,1,5]=>[5,1,2,3,8,6,12,4,11,10,9,7]
[8,9,10,11,4,12,7,6,3,2,1,5]=>[5,1,2,3,6,7,12,4,11,10,9,8]
[7,8,9,10,12,5,4,3,2,1,11,6]=>[6,11,1,2,3,4,5,12,10,9,8,7]
[7,8,9,11,12,5,4,3,2,10,1,6]=>[6,1,10,2,3,4,5,12,11,9,8,7]
[7,8,10,11,12,5,4,3,9,2,1,6]=>[6,1,2,9,3,4,5,12,11,10,8,7]
[7,9,10,11,12,5,4,8,3,2,1,6]=>[6,1,2,3,8,4,5,12,11,10,9,7]
[8,9,10,11,12,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,12,11,10,9,8]
[8,9,10,11,12,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,12,11,10,9,8]
[5,4,2,8,1,3,10,7,12,9,11,6]=>[6,11,9,12,7,10,3,1,8,2,4,5]
[8,1,7,6,4,10,3,5,12,9,11,2]=>[2,11,9,12,5,3,10,4,6,7,1,8]
[5,7,2,6,4,10,1,3,12,9,11,8]=>[8,11,9,12,3,1,10,4,6,2,7,5]
[2,7,6,3,1,10,4,5,12,9,11,8]=>[8,11,9,12,5,4,10,1,3,6,7,2]
[7,4,2,5,10,1,6,3,12,9,11,8]=>[8,11,9,12,3,6,1,10,5,2,4,7]
[6,3,5,2,10,1,4,7,12,9,11,8]=>[8,11,9,12,7,4,1,10,2,5,3,6]
[5,4,2,10,1,3,8,12,7,9,11,6]=>[6,11,9,7,12,8,3,1,10,2,4,5]
[4,1,10,3,9,8,6,12,5,7,11,2]=>[2,11,7,5,12,6,8,9,3,10,1,4]
[2,10,1,3,9,8,6,12,5,7,11,4]=>[4,11,7,5,12,6,8,9,3,1,10,2]
[10,1,7,9,4,8,6,12,3,5,11,2]=>[2,11,5,3,12,6,8,4,9,7,1,10]
[5,7,2,9,4,8,6,12,1,3,11,10]=>[10,11,3,1,12,6,8,4,9,2,7,5]
[2,7,9,3,1,8,6,12,4,5,11,10]=>[10,11,5,4,12,6,8,1,3,9,7,2]
[10,1,4,9,8,5,3,12,6,7,11,2]=>[2,11,7,6,12,3,5,8,9,4,1,10]
[7,4,2,9,8,5,1,12,6,3,11,10]=>[10,11,3,6,12,1,5,8,9,2,4,7]
[6,3,9,2,8,5,1,12,4,7,11,10]=>[10,11,7,4,12,1,5,8,2,9,3,6]
[2,3,9,8,4,1,5,12,6,7,11,10]=>[10,11,7,6,12,5,1,4,8,9,3,2]
[10,1,9,6,4,7,12,3,8,5,11,2]=>[2,11,5,8,3,12,7,4,6,9,1,10]
[5,9,2,6,4,7,12,1,8,3,11,10]=>[10,11,3,8,1,12,7,4,6,2,9,5]
[2,9,6,3,1,7,12,4,8,5,11,10]=>[10,11,5,8,4,12,7,1,3,6,9,2]
[10,1,8,5,7,4,12,3,6,9,11,2]=>[2,11,9,6,3,12,4,7,5,8,1,10]
[9,8,2,5,7,4,12,1,6,3,11,10]=>[10,11,3,6,1,12,4,7,5,2,8,9]
[6,8,5,3,7,2,12,1,4,9,11,10]=>[10,11,9,4,1,12,2,7,3,5,8,6]
[2,8,4,7,3,1,12,5,6,9,11,10]=>[10,11,9,6,5,12,1,3,7,4,8,2]
[9,4,2,5,6,12,1,7,8,3,11,10]=>[10,11,3,8,7,1,12,6,5,2,4,9]
[8,3,5,2,6,12,1,7,4,9,11,10]=>[10,11,9,4,7,1,12,6,2,5,3,8]
[7,3,4,6,2,12,1,5,8,9,11,10]=>[10,11,9,8,5,1,12,2,6,4,3,7]
[5,4,2,8,1,3,12,7,10,9,11,6]=>[6,11,9,10,7,12,3,1,8,2,4,5]
[8,1,7,6,4,12,3,5,10,9,11,2]=>[2,11,9,10,5,3,12,4,6,7,1,8]
[5,7,2,6,4,12,1,3,10,9,11,8]=>[8,11,9,10,3,1,12,4,6,2,7,5]
[2,7,6,3,1,12,4,5,10,9,11,8]=>[8,11,9,10,5,4,12,1,3,6,7,2]
[7,4,2,5,12,1,6,3,10,9,11,8]=>[8,11,9,10,3,6,1,12,5,2,4,7]
[6,3,5,2,12,1,4,7,10,9,11,8]=>[8,11,9,10,7,4,1,12,2,5,3,6]
[4,1,6,3,12,5,11,10,8,7,9,2]=>[2,9,7,8,10,11,5,12,3,6,1,4]
[2,6,1,3,12,5,11,10,8,7,9,4]=>[4,9,7,8,10,11,5,12,3,1,6,2]
[6,1,4,12,3,5,11,10,8,7,9,2]=>[2,9,7,8,10,11,5,3,12,4,1,6]
[5,4,2,12,1,3,11,10,8,7,9,6]=>[6,9,7,8,10,11,3,1,12,2,4,5]
[2,3,12,1,4,5,11,10,8,7,9,6]=>[6,9,7,8,10,11,5,4,1,12,3,2]
[4,1,12,3,9,11,6,10,8,5,7,2]=>[2,7,5,8,10,6,11,9,3,12,1,4]
[2,12,1,3,9,11,6,10,8,5,7,4]=>[4,7,5,8,10,6,11,9,3,1,12,2]
[12,1,7,9,4,11,6,10,8,3,5,2]=>[2,5,3,8,10,6,11,4,9,7,1,12]
[5,7,2,9,4,11,6,10,8,1,3,12]=>[12,3,1,8,10,6,11,4,9,2,7,5]
[2,7,9,3,1,11,6,10,8,4,5,12]=>[12,5,4,8,10,6,11,1,3,9,7,2]
[12,1,4,9,11,5,3,10,8,6,7,2]=>[2,7,6,8,10,3,5,11,9,4,1,12]
[7,4,2,9,11,5,1,10,8,6,3,12]=>[12,3,6,8,10,1,5,11,9,2,4,7]
[6,3,9,2,11,5,1,10,8,4,7,12]=>[12,7,4,8,10,1,5,11,2,9,3,6]
[2,3,9,11,4,1,5,10,8,6,7,12]=>[12,7,6,8,10,5,1,4,11,9,3,2]
[4,1,12,3,6,11,10,7,5,8,9,2]=>[2,9,8,5,7,10,11,6,3,12,1,4]
[2,12,1,3,6,11,10,7,5,8,9,4]=>[4,9,8,5,7,10,11,6,3,1,12,2]
[12,1,9,6,4,11,10,7,3,8,5,2]=>[2,5,8,3,7,10,11,4,6,9,1,12]
[5,9,2,6,4,11,10,7,1,8,3,12]=>[12,3,8,1,7,10,11,4,6,2,9,5]
[2,9,6,3,1,11,10,7,4,8,5,12]=>[12,5,8,4,7,10,11,1,3,6,9,2]
[12,1,8,5,11,4,10,7,3,6,9,2]=>[2,9,6,3,7,10,4,11,5,8,1,12]
[9,8,2,5,11,4,10,7,1,6,3,12]=>[12,3,6,1,7,10,4,11,5,2,8,9]
[6,8,5,3,11,2,10,7,1,4,9,12]=>[12,9,4,1,7,10,2,11,3,5,8,6]
[2,8,4,11,3,1,10,7,5,6,9,12]=>[12,9,6,5,7,10,1,3,11,4,8,2]
[12,1,4,5,11,10,6,3,7,8,9,2]=>[2,9,8,7,3,6,10,11,5,4,1,12]
[9,4,2,5,11,10,6,1,7,8,3,12]=>[12,3,8,7,1,6,10,11,5,2,4,9]
[8,3,5,2,11,10,6,1,7,4,9,12]=>[12,9,4,7,1,6,10,11,2,5,3,8]
[7,3,4,11,2,10,6,1,5,8,9,12]=>[12,9,8,5,1,6,10,2,11,4,3,7]
[2,3,4,11,10,5,1,6,7,8,9,12]=>[12,9,8,7,6,1,5,10,11,4,3,2]
[5,4,2,12,1,3,8,9,7,10,11,6]=>[6,11,10,7,9,8,3,1,12,2,4,5]
[4,1,12,3,11,8,6,9,5,10,7,2]=>[2,7,10,5,9,6,8,11,3,12,1,4]
[2,12,1,3,11,8,6,9,5,10,7,4]=>[4,7,10,5,9,6,8,11,3,1,12,2]
[12,1,7,11,4,8,6,9,3,10,5,2]=>[2,5,10,3,9,6,8,4,11,7,1,12]
[5,7,2,11,4,8,6,9,1,10,3,12]=>[12,3,10,1,9,6,8,4,11,2,7,5]
[2,7,11,3,1,8,6,9,4,10,5,12]=>[12,5,10,4,9,6,8,1,3,11,7,2]
[12,1,4,11,8,5,3,9,6,10,7,2]=>[2,7,10,6,9,3,5,8,11,4,1,12]
[7,4,2,11,8,5,1,9,6,10,3,12]=>[12,3,10,6,9,1,5,8,11,2,4,7]
[6,3,11,2,8,5,1,9,4,10,7,12]=>[12,7,10,4,9,1,5,8,2,11,3,6]
[2,3,11,8,4,1,5,9,6,10,7,12]=>[12,7,10,6,9,5,1,4,8,11,3,2]
[4,1,12,3,10,7,9,6,5,8,11,2]=>[2,11,8,5,6,9,7,10,3,12,1,4]
[2,12,1,3,10,7,9,6,5,8,11,4]=>[4,11,8,5,6,9,7,10,3,1,12,2]
[12,1,11,10,4,7,9,6,3,8,5,2]=>[2,5,8,3,6,9,7,4,10,11,1,12]
[5,11,2,10,4,7,9,6,1,8,3,12]=>[12,3,8,1,6,9,7,4,10,2,11,5]
[2,11,10,3,1,7,9,6,4,8,5,12]=>[12,5,8,4,6,9,7,1,3,10,11,2]
[12,1,8,10,7,5,9,4,3,6,11,2]=>[2,11,6,3,4,9,5,7,10,8,1,12]
[11,8,2,10,7,5,9,4,1,6,3,12]=>[12,3,6,1,4,9,5,7,10,2,8,11]
[6,8,10,3,7,5,9,2,1,4,11,12]=>[12,11,4,1,2,9,5,7,3,10,8,6]
[2,8,10,7,4,3,9,1,5,6,11,12]=>[12,11,6,5,1,9,3,4,7,10,8,2]
[12,1,4,10,6,9,5,3,7,8,11,2]=>[2,11,8,7,3,5,9,6,10,4,1,12]
[11,4,2,10,6,9,5,1,7,8,3,12]=>[12,3,8,7,1,5,9,6,10,2,4,11]
[8,3,10,2,6,9,5,1,7,4,11,12]=>[12,11,4,7,1,5,9,6,2,10,3,8]
[7,3,10,6,4,9,2,1,5,8,11,12]=>[12,11,8,5,1,2,9,4,6,10,3,7]
[2,3,10,5,9,4,1,6,7,8,11,12]=>[12,11,8,7,6,1,4,9,5,10,3,2]
[12,1,11,6,4,7,8,3,9,10,5,2]=>[2,5,10,9,3,8,7,4,6,11,1,12]
[5,11,2,6,4,7,8,1,9,10,3,12]=>[12,3,10,9,1,8,7,4,6,2,11,5]
[2,11,6,3,1,7,8,4,9,10,5,12]=>[12,5,10,9,4,8,7,1,3,6,11,2]
[12,1,10,5,7,4,8,3,9,6,11,2]=>[2,11,6,9,3,8,4,7,5,10,1,12]
[11,10,2,5,7,4,8,1,9,6,3,12]=>[12,3,6,9,1,8,4,7,5,2,10,11]
[6,10,5,3,7,2,8,1,9,4,11,12]=>[12,11,4,9,1,8,2,7,3,5,10,6]
[2,10,4,7,3,1,8,5,9,6,11,12]=>[12,11,6,9,5,8,1,3,7,4,10,2]
[12,1,9,5,6,8,4,3,7,10,11,2]=>[2,11,10,7,3,4,8,6,5,9,1,12]
[11,9,2,5,6,8,4,1,7,10,3,12]=>[12,3,10,7,1,4,8,6,5,2,9,11]
[10,9,5,3,6,8,2,1,7,4,11,12]=>[12,11,4,7,1,2,8,6,3,5,9,10]
[7,9,4,6,3,8,2,1,5,10,11,12]=>[12,11,10,5,1,2,8,3,6,4,9,7]
[2,9,4,5,8,3,1,6,7,10,11,12]=>[12,11,10,7,6,1,3,8,5,4,9,2]
[11,4,2,5,6,7,1,8,9,10,3,12]=>[12,3,10,9,8,1,7,6,5,2,4,11]
[10,3,5,2,6,7,1,8,9,4,11,12]=>[12,11,4,9,8,1,7,6,2,5,3,10]
[9,3,4,6,2,7,1,8,5,10,11,12]=>[12,11,10,5,8,1,7,2,6,4,3,9]
[8,3,4,5,7,2,1,6,9,10,11,12]=>[12,11,10,9,6,1,2,7,5,4,3,8]
[2,1,4,3,6,5,9,12,11,7,8,10]=>[10,8,7,11,12,9,5,6,3,4,1,2]
[2,1,4,3,6,5,10,7,8,11,12,9]=>[9,12,11,8,7,10,5,6,3,4,1,2]
[2,1,4,3,7,10,9,5,6,8,12,11]=>[11,12,8,6,5,9,10,7,3,4,1,2]
[2,1,4,3,7,12,9,11,6,8,5,10]=>[10,5,8,6,11,9,12,7,3,4,1,2]
[2,1,4,3,7,12,10,5,8,11,6,9]=>[9,6,11,8,5,10,12,7,3,4,1,2]
[2,1,4,3,8,5,6,9,10,7,12,11]=>[11,12,7,10,9,6,5,8,3,4,1,2]
[2,1,4,3,8,5,9,12,11,7,6,10]=>[10,6,7,11,12,9,5,8,3,4,1,2]
[2,1,4,3,8,11,5,10,7,6,12,9]=>[9,12,6,7,10,5,11,8,3,4,1,2]
[2,1,4,3,9,5,6,7,10,11,12,8]=>[8,12,11,10,7,6,5,9,3,4,1,2]
[2,1,5,3,6,4,9,12,11,7,8,10]=>[10,8,7,11,12,9,4,6,3,5,1,2]
[2,1,5,3,6,4,10,7,8,11,12,9]=>[9,12,11,8,7,10,4,6,3,5,1,2]
[2,1,5,8,7,3,4,6,10,9,12,11]=>[11,12,9,10,6,4,3,7,8,5,1,2]
[2,1,5,8,7,3,4,6,11,9,12,10]=>[10,12,9,11,6,4,3,7,8,5,1,2]
[2,1,5,10,7,9,4,6,3,8,12,11]=>[11,12,8,3,6,4,9,7,10,5,1,2]
[2,1,5,12,7,9,4,11,3,8,6,10]=>[10,6,8,3,11,4,9,7,12,5,1,2]
[2,1,5,12,7,10,4,6,8,11,3,9]=>[9,3,11,8,6,4,10,7,12,5,1,2]
[2,1,5,10,8,3,6,9,4,7,12,11]=>[11,12,7,4,9,6,3,8,10,5,1,2]
[2,1,5,12,8,3,9,11,4,6,7,10]=>[10,7,6,4,11,9,3,8,12,5,1,2]
[2,1,5,12,8,11,3,10,7,6,4,9]=>[9,4,6,7,10,3,11,8,12,5,1,2]
[2,1,5,12,9,3,6,7,10,11,4,8]=>[8,4,11,10,7,6,3,9,12,5,1,2]
[2,1,6,3,4,7,8,5,10,9,12,11]=>[11,12,9,10,5,8,7,4,3,6,1,2]
[2,1,6,3,4,7,8,5,11,9,12,10]=>[10,12,9,11,5,8,7,4,3,6,1,2]
[2,1,6,3,7,10,9,5,4,8,12,11]=>[11,12,8,4,5,9,10,7,3,6,1,2]
[2,1,6,3,7,12,9,11,4,8,5,10]=>[10,5,8,4,11,9,12,7,3,6,1,2]
[2,1,6,3,7,12,10,5,8,11,4,9]=>[9,4,11,8,5,10,12,7,3,6,1,2]
[2,1,6,9,3,8,5,4,10,7,12,11]=>[11,12,7,10,4,5,8,3,9,6,1,2]
[2,1,6,9,3,8,12,7,11,4,5,10]=>[10,5,4,11,7,12,8,3,9,6,1,2]
[2,1,6,11,8,10,3,4,7,5,12,9]=>[9,12,5,7,4,3,10,8,11,6,1,2]
[2,1,6,11,3,9,5,7,10,4,12,8]=>[8,12,4,10,7,5,9,3,11,6,1,2]
[2,1,7,3,4,5,8,9,10,6,12,11]=>[11,12,6,10,9,8,5,4,3,7,1,2]
[2,1,7,3,4,8,9,12,11,5,6,10]=>[10,6,5,11,12,9,8,4,3,7,1,2]
[2,1,7,3,8,5,11,10,6,4,12,9]=>[9,12,4,6,10,11,5,8,3,7,1,2]
[2,1,7,10,3,5,9,6,4,11,12,8]=>[8,12,11,4,6,9,5,3,10,7,1,2]
[2,1,8,3,4,5,6,9,10,11,12,7]=>[7,12,11,10,9,6,5,4,3,8,1,2]
[3,1,4,2,6,5,9,12,11,7,8,10]=>[10,8,7,11,12,9,5,6,2,4,1,3]
[3,1,4,2,6,5,10,7,8,11,12,9]=>[9,12,11,8,7,10,5,6,2,4,1,3]
[3,1,4,2,7,10,9,5,6,8,12,11]=>[11,12,8,6,5,9,10,7,2,4,1,3]
[3,1,4,2,7,12,9,11,6,8,5,10]=>[10,5,8,6,11,9,12,7,2,4,1,3]
[3,1,4,2,7,12,10,5,8,11,6,9]=>[9,6,11,8,5,10,12,7,2,4,1,3]
[3,1,4,2,8,5,6,9,10,7,12,11]=>[11,12,7,10,9,6,5,8,2,4,1,3]
[3,1,4,2,8,5,9,12,11,7,6,10]=>[10,6,7,11,12,9,5,8,2,4,1,3]
[3,1,4,2,8,11,5,10,7,6,12,9]=>[9,12,6,7,10,5,11,8,2,4,1,3]
[3,1,4,2,9,5,6,7,10,11,12,8]=>[8,12,11,10,7,6,5,9,2,4,1,3]
[3,6,5,1,2,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,2,1,5,6,3]
[3,6,5,1,2,4,8,7,11,9,12,10]=>[10,12,9,11,7,8,4,2,1,5,6,3]
[3,6,5,1,2,4,9,7,10,8,12,11]=>[11,12,8,10,7,9,4,2,1,5,6,3]
[3,6,5,1,2,4,9,12,11,7,8,10]=>[10,8,7,11,12,9,4,2,1,5,6,3]
[3,6,5,1,2,4,10,7,8,11,12,9]=>[9,12,11,8,7,10,4,2,1,5,6,3]
[3,8,5,7,2,4,1,6,10,9,12,11]=>[11,12,9,10,6,1,4,2,7,5,8,3]
[3,8,5,7,2,4,1,6,11,9,12,10]=>[10,12,9,11,6,1,4,2,7,5,8,3]
[3,10,5,7,2,9,1,6,4,8,12,11]=>[11,12,8,4,6,1,9,2,7,5,10,3]
[3,12,5,7,2,9,1,11,4,8,6,10]=>[10,6,8,4,11,1,9,2,7,5,12,3]
[3,12,5,7,2,10,1,6,8,11,4,9]=>[9,4,11,8,6,1,10,2,7,5,12,3]
[3,10,5,8,2,4,6,9,1,7,12,11]=>[11,12,7,1,9,6,4,2,8,5,10,3]
[3,12,5,8,2,4,9,11,1,6,7,10]=>[10,7,6,1,11,9,4,2,8,5,12,3]
[3,12,5,8,2,11,4,10,7,6,1,9]=>[9,1,6,7,10,4,11,2,8,5,12,3]
[3,12,5,9,2,4,6,7,10,11,1,8]=>[8,1,11,10,7,6,4,2,9,5,12,3]
[3,8,6,1,4,7,2,5,10,9,12,11]=>[11,12,9,10,5,2,7,4,1,6,8,3]
[3,8,6,1,4,7,2,5,11,9,12,10]=>[10,12,9,11,5,2,7,4,1,6,8,3]
[3,10,6,1,7,9,2,4,5,8,12,11]=>[11,12,8,5,4,2,9,7,1,6,10,3]
[3,12,6,1,7,9,2,11,5,8,4,10]=>[10,4,8,5,11,2,9,7,1,6,12,3]
[3,12,6,1,7,10,2,4,8,11,5,9]=>[9,5,11,8,4,2,10,7,1,6,12,3]
[3,10,6,9,1,8,5,4,2,7,12,11]=>[11,12,7,2,4,5,8,1,9,6,10,3]
[3,12,6,9,1,8,11,4,2,7,5,10]=>[10,5,7,2,4,11,8,1,9,6,12,3]
[3,12,6,11,8,10,1,4,7,5,2,9]=>[9,2,5,7,4,1,10,8,11,6,12,3]
[3,12,6,11,1,9,5,7,10,4,2,8]=>[8,2,4,10,7,5,9,1,11,6,12,3]
[3,10,7,1,4,5,8,9,2,6,12,11]=>[11,12,6,2,9,8,5,4,1,7,10,3]
[3,12,7,1,4,8,9,11,2,6,5,10]=>[10,5,6,2,11,9,8,4,1,7,12,3]
[3,12,7,1,8,5,11,10,6,4,2,9]=>[9,2,4,6,10,11,5,8,1,7,12,3]
[3,12,7,10,1,5,9,6,4,11,2,8]=>[8,2,11,4,6,9,5,1,10,7,12,3]
[3,12,8,1,4,5,6,9,10,11,2,7]=>[7,2,11,10,9,6,5,4,1,8,12,3]
[4,1,2,5,6,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,6,5,2,1,4]
[4,1,2,5,6,3,8,7,11,9,12,10]=>[10,12,9,11,7,8,3,6,5,2,1,4]
[4,1,2,5,6,3,9,7,10,8,12,11]=>[11,12,8,10,7,9,3,6,5,2,1,4]
[4,1,2,5,6,3,9,12,11,7,8,10]=>[10,8,7,11,12,9,3,6,5,2,1,4]
[4,1,2,5,6,3,10,7,8,11,12,9]=>[9,12,11,8,7,10,3,6,5,2,1,4]
[4,1,5,8,7,3,2,6,10,9,12,11]=>[11,12,9,10,6,2,3,7,8,5,1,4]
[4,1,5,8,7,3,2,6,11,9,12,10]=>[10,12,9,11,6,2,3,7,8,5,1,4]
[4,1,5,10,7,9,2,6,3,8,12,11]=>[11,12,8,3,6,2,9,7,10,5,1,4]
[4,1,5,12,7,9,2,11,3,8,6,10]=>[10,6,8,3,11,2,9,7,12,5,1,4]
[4,1,5,12,7,10,2,6,8,11,3,9]=>[9,3,11,8,6,2,10,7,12,5,1,4]
[4,1,5,10,8,3,6,9,2,7,12,11]=>[11,12,7,2,9,6,3,8,10,5,1,4]
[4,1,5,12,8,3,9,11,2,6,7,10]=>[10,7,6,2,11,9,3,8,12,5,1,4]
[4,1,5,12,8,11,3,10,7,6,2,9]=>[9,2,6,7,10,3,11,8,12,5,1,4]
[4,1,5,12,9,3,6,7,10,11,2,8]=>[8,2,11,10,7,6,3,9,12,5,1,4]
[4,7,1,6,3,2,8,5,10,9,12,11]=>[11,12,9,10,5,8,2,3,6,1,7,4]
[4,7,1,6,3,2,8,5,11,9,12,10]=>[10,12,9,11,5,8,2,3,6,1,7,4]
[4,7,1,6,10,5,9,2,3,8,12,11]=>[11,12,8,3,2,9,5,10,6,1,7,4]
[4,7,1,6,12,5,9,11,3,8,2,10]=>[10,2,8,3,11,9,5,12,6,1,7,4]
[4,7,1,6,12,5,10,2,8,11,3,9]=>[9,3,11,8,2,10,5,12,6,1,7,4]
[4,9,6,8,1,2,5,3,10,7,12,11]=>[11,12,7,10,3,5,2,1,8,6,9,4]
[4,9,6,8,1,2,12,7,11,3,5,10]=>[10,5,3,11,7,12,2,1,8,6,9,4]
[4,11,6,8,10,2,5,3,7,1,12,9]=>[9,12,1,7,3,5,2,10,8,6,11,4]
[4,11,6,9,1,2,5,7,10,3,12,8]=>[8,12,3,10,7,5,2,1,9,6,11,4]
[4,9,1,7,3,5,8,2,10,6,12,11]=>[11,12,6,10,2,8,5,3,7,1,9,4]
[4,9,2,7,3,8,12,1,11,5,6,10]=>[10,6,5,11,1,12,8,3,7,2,9,4]
[4,11,1,7,8,3,10,2,6,5,12,9]=>[9,12,5,6,2,10,3,8,7,1,11,4]
[4,11,7,10,3,5,9,6,1,2,12,8]=>[8,12,2,1,6,9,5,3,10,7,11,4]
[4,11,1,8,3,5,6,9,10,2,12,7]=>[7,12,2,10,9,6,5,3,8,1,11,4]
[5,1,2,3,6,7,8,4,10,9,12,11]=>[11,12,9,10,4,8,7,6,3,2,1,5]
[5,1,2,3,6,7,8,4,11,9,12,10]=>[10,12,9,11,4,8,7,6,3,2,1,5]
[5,1,2,6,7,10,9,3,4,8,12,11]=>[11,12,8,4,3,9,10,7,6,2,1,5]
[5,1,2,6,7,12,9,11,4,8,3,10]=>[10,3,8,4,11,9,12,7,6,2,1,5]
[5,1,2,6,7,12,10,3,8,11,4,9]=>[9,4,11,8,3,10,12,7,6,2,1,5]
[5,1,6,3,9,8,4,2,10,7,12,11]=>[11,12,7,10,2,4,8,9,3,6,1,5]
[5,1,6,3,9,8,12,7,11,2,4,10]=>[10,4,2,11,7,12,8,9,3,6,1,5]
[5,1,6,11,8,10,3,4,7,2,12,9]=>[9,12,2,7,4,3,10,8,11,6,1,5]
[5,1,6,3,11,9,4,7,10,2,12,8]=>[8,12,2,10,7,4,9,11,3,6,1,5]
[5,8,1,3,7,4,2,9,10,6,12,11]=>[11,12,6,10,9,2,4,7,3,1,8,5]
[5,8,1,3,7,9,2,12,11,6,4,10]=>[10,4,6,11,12,2,9,7,3,1,8,5]
[5,8,2,7,11,3,1,10,6,4,12,9]=>[9,12,4,6,10,1,3,11,7,2,8,5]
[5,10,7,1,9,4,2,6,3,11,12,8]=>[8,12,11,3,6,2,4,9,1,7,10,5]
[5,10,1,3,8,4,6,9,2,11,12,7]=>[7,12,11,2,9,6,4,8,3,1,10,5]
[6,1,2,3,4,7,8,9,10,5,12,11]=>[11,12,5,10,9,8,7,4,3,2,1,6]
[6,1,2,3,7,8,9,12,11,5,4,10]=>[10,4,5,11,12,9,8,7,3,2,1,6]
[6,1,2,7,3,8,11,10,5,4,12,9]=>[9,12,4,5,10,11,8,3,7,2,1,6]
[6,1,7,3,4,10,9,5,2,11,12,8]=>[8,12,11,2,5,9,10,4,3,7,1,6]
[6,9,1,3,4,8,5,2,10,11,12,7]=>[7,12,11,10,2,5,8,4,3,1,9,6]
[7,1,2,3,4,5,8,9,10,11,12,6]=>[6,12,11,10,9,8,5,4,3,2,1,7]
[1,12,2,11,3,10,4,9,6,5,7,8]=>[8,7,5,6,9,4,10,3,11,2,12,1]
[1,12,2,11,3,10,6,5,4,7,8,9]=>[9,8,7,4,5,6,10,3,11,2,12,1]
[1,12,2,11,6,5,4,3,7,8,9,10]=>[10,9,8,7,3,4,5,6,11,2,12,1]
[1,12,6,5,4,3,2,7,8,9,10,11]=>[11,10,9,8,7,2,3,4,5,6,12,1]
[2,12,4,1,6,3,8,5,11,10,7,9]=>[9,7,10,11,5,8,3,6,1,4,12,2]
[2,12,4,1,6,3,9,10,5,7,11,8]=>[8,11,7,5,10,9,3,6,1,4,12,2]
[2,12,4,1,6,3,9,11,5,10,7,8]=>[8,7,10,5,11,9,3,6,1,4,12,2]
[2,12,4,1,6,3,10,11,9,5,7,8]=>[8,7,5,9,11,10,3,6,1,4,12,2]
[2,12,4,1,7,8,3,5,10,6,11,9]=>[9,11,6,10,5,3,8,7,1,4,12,2]
[2,12,4,1,7,8,3,5,11,10,6,9]=>[9,6,10,11,5,3,8,7,1,4,12,2]
[2,12,4,1,7,9,3,10,5,6,11,8]=>[8,11,6,5,10,3,9,7,1,4,12,2]
[2,12,4,1,7,9,3,11,5,10,6,8]=>[8,6,10,5,11,3,9,7,1,4,12,2]
[2,12,4,1,7,10,3,11,9,5,6,8]=>[8,6,5,9,11,3,10,7,1,4,12,2]
[2,12,4,1,8,9,10,3,5,6,11,7]=>[7,11,6,5,3,10,9,8,1,4,12,2]
[2,12,4,1,8,9,11,3,5,10,6,7]=>[7,6,10,5,3,11,9,8,1,4,12,2]
[2,12,4,1,8,10,11,3,9,5,6,7]=>[7,6,5,9,3,11,10,8,1,4,12,2]
[2,12,4,1,9,10,11,8,3,5,6,7]=>[7,6,5,3,8,11,10,9,1,4,12,2]
[2,12,5,6,1,3,8,4,10,7,11,9]=>[9,11,7,10,4,8,3,1,6,5,12,2]
[2,12,5,6,1,3,8,4,11,10,7,9]=>[9,7,10,11,4,8,3,1,6,5,12,2]
[2,12,5,6,1,3,9,10,4,7,11,8]=>[8,11,7,4,10,9,3,1,6,5,12,2]
[2,12,5,6,1,3,9,11,4,10,7,8]=>[8,7,10,4,11,9,3,1,6,5,12,2]
[2,12,5,6,1,3,10,11,9,4,7,8]=>[8,7,4,9,11,10,3,1,6,5,12,2]
[2,12,5,7,1,8,3,4,10,6,11,9]=>[9,11,6,10,4,3,8,1,7,5,12,2]
[2,12,5,7,1,8,3,4,11,10,6,9]=>[9,6,10,11,4,3,8,1,7,5,12,2]
[2,12,5,7,1,9,3,10,4,6,11,8]=>[8,11,6,4,10,3,9,1,7,5,12,2]
[2,12,5,7,1,9,3,11,4,10,6,8]=>[8,6,10,4,11,3,9,1,7,5,12,2]
[2,12,5,7,1,10,3,11,9,4,6,8]=>[8,6,4,9,11,3,10,1,7,5,12,2]
[2,12,5,8,1,9,10,3,4,6,11,7]=>[7,11,6,4,3,10,9,1,8,5,12,2]
[2,12,5,8,1,9,11,3,4,10,6,7]=>[7,6,10,4,3,11,9,1,8,5,12,2]
[2,12,5,8,1,10,11,3,9,4,6,7]=>[7,6,4,9,3,11,10,1,8,5,12,2]
[2,12,5,9,1,10,11,8,3,4,6,7]=>[7,6,4,3,8,11,10,1,9,5,12,2]
[2,12,6,7,8,1,3,4,10,5,11,9]=>[9,11,5,10,4,3,1,8,7,6,12,2]
[2,12,6,7,8,1,3,4,11,10,5,9]=>[9,5,10,11,4,3,1,8,7,6,12,2]
[2,12,6,7,9,1,3,10,4,5,11,8]=>[8,11,5,4,10,3,1,9,7,6,12,2]
[2,12,6,7,9,1,3,11,4,10,5,8]=>[8,5,10,4,11,3,1,9,7,6,12,2]
[2,12,6,7,10,1,3,11,9,4,5,8]=>[8,5,4,9,11,3,1,10,7,6,12,2]
[2,12,6,8,9,1,10,3,4,5,11,7]=>[7,11,5,4,3,10,1,9,8,6,12,2]
[2,12,6,8,9,1,11,3,4,10,5,7]=>[7,5,10,4,3,11,1,9,8,6,12,2]
[2,12,6,8,10,1,11,3,9,4,5,7]=>[7,5,4,9,3,11,1,10,8,6,12,2]
[2,12,6,9,10,1,11,8,3,4,5,7]=>[7,5,4,3,8,11,1,10,9,6,12,2]
[2,12,7,8,9,10,1,3,4,5,11,6]=>[6,11,5,4,3,1,10,9,8,7,12,2]
[2,12,7,8,9,11,1,3,4,10,5,6]=>[6,5,10,4,3,1,11,9,8,7,12,2]
[2,12,7,8,10,11,1,3,9,4,5,6]=>[6,5,4,9,3,1,11,10,8,7,12,2]
[2,12,7,9,10,11,1,8,3,4,5,6]=>[6,5,4,3,8,1,11,10,9,7,12,2]
[2,12,8,9,10,11,7,1,3,4,5,6]=>[6,5,4,3,1,7,11,10,9,8,12,2]
[3,4,12,1,6,2,8,5,10,7,11,9]=>[9,11,7,10,5,8,2,6,1,12,4,3]
[3,4,12,1,6,2,8,5,11,10,7,9]=>[9,7,10,11,5,8,2,6,1,12,4,3]
[3,4,12,1,6,2,9,10,5,7,11,8]=>[8,11,7,5,10,9,2,6,1,12,4,3]
[3,4,12,1,6,2,9,11,5,10,7,8]=>[8,7,10,5,11,9,2,6,1,12,4,3]
[3,4,12,1,6,2,10,11,9,5,7,8]=>[8,7,5,9,11,10,2,6,1,12,4,3]
[3,4,12,1,7,8,2,5,10,6,11,9]=>[9,11,6,10,5,2,8,7,1,12,4,3]
[3,4,12,1,7,8,2,5,11,10,6,9]=>[9,6,10,11,5,2,8,7,1,12,4,3]
[3,4,12,1,7,9,2,10,5,6,11,8]=>[8,11,6,5,10,2,9,7,1,12,4,3]
[3,4,12,1,7,9,2,11,5,10,6,8]=>[8,6,10,5,11,2,9,7,1,12,4,3]
[3,4,12,1,7,10,2,11,9,5,6,8]=>[8,6,5,9,11,2,10,7,1,12,4,3]
[3,4,12,1,8,9,10,2,5,6,11,7]=>[7,11,6,5,2,10,9,8,1,12,4,3]
[3,4,12,1,8,9,11,2,5,10,6,7]=>[7,6,10,5,2,11,9,8,1,12,4,3]
[3,4,12,1,8,10,11,2,9,5,6,7]=>[7,6,5,9,2,11,10,8,1,12,4,3]
[3,4,12,1,9,10,11,8,2,5,6,7]=>[7,6,5,2,8,11,10,9,1,12,4,3]
[3,5,12,6,1,2,8,4,10,7,11,9]=>[9,11,7,10,4,8,2,1,6,12,5,3]
[3,5,12,6,1,2,8,4,11,10,7,9]=>[9,7,10,11,4,8,2,1,6,12,5,3]
[3,5,12,6,1,2,9,10,4,7,11,8]=>[8,11,7,4,10,9,2,1,6,12,5,3]
[3,5,12,6,1,2,9,11,4,10,7,8]=>[8,7,10,4,11,9,2,1,6,12,5,3]
[3,5,12,6,1,2,10,11,9,4,7,8]=>[8,7,4,9,11,10,2,1,6,12,5,3]
[3,5,12,7,1,8,2,4,10,6,11,9]=>[9,11,6,10,4,2,8,1,7,12,5,3]
[3,5,12,7,1,8,2,4,11,10,6,9]=>[9,6,10,11,4,2,8,1,7,12,5,3]
[3,5,12,7,1,9,2,10,4,6,11,8]=>[8,11,6,4,10,2,9,1,7,12,5,3]
[3,5,12,7,1,9,2,11,4,10,6,8]=>[8,6,10,4,11,2,9,1,7,12,5,3]
[3,5,12,7,1,10,2,11,9,4,6,8]=>[8,6,4,9,11,2,10,1,7,12,5,3]
[3,5,12,8,1,9,10,2,4,6,11,7]=>[7,11,6,4,2,10,9,1,8,12,5,3]
[3,5,12,8,1,9,11,2,4,10,6,7]=>[7,6,10,4,2,11,9,1,8,12,5,3]
[3,5,12,8,1,10,11,2,9,4,6,7]=>[7,6,4,9,2,11,10,1,8,12,5,3]
[3,5,12,9,1,10,11,8,2,4,6,7]=>[7,6,4,2,8,11,10,1,9,12,5,3]
[3,6,12,7,8,1,2,4,10,5,11,9]=>[9,11,5,10,4,2,1,8,7,12,6,3]
[3,6,12,7,8,1,2,4,11,10,5,9]=>[9,5,10,11,4,2,1,8,7,12,6,3]
[3,6,12,7,9,1,2,10,4,5,11,8]=>[8,11,5,4,10,2,1,9,7,12,6,3]
[3,6,12,7,9,1,2,11,4,10,5,8]=>[8,5,10,4,11,2,1,9,7,12,6,3]
[3,6,12,7,10,1,2,11,9,4,5,8]=>[8,5,4,9,11,2,1,10,7,12,6,3]
[3,6,12,8,9,1,10,2,4,5,11,7]=>[7,11,5,4,2,10,1,9,8,12,6,3]
[3,6,12,8,9,1,11,2,4,10,5,7]=>[7,5,10,4,2,11,1,9,8,12,6,3]
[3,6,12,8,10,1,11,2,9,4,5,7]=>[7,5,4,9,2,11,1,10,8,12,6,3]
[3,6,12,9,10,1,11,8,2,4,5,7]=>[7,5,4,2,8,11,1,10,9,12,6,3]
[3,7,12,8,9,10,1,2,4,5,11,6]=>[6,11,5,4,2,1,10,9,8,12,7,3]
[3,7,12,8,9,11,1,2,4,10,5,6]=>[6,5,10,4,2,1,11,9,8,12,7,3]
[3,7,12,8,10,11,1,2,9,4,5,6]=>[6,5,4,9,2,1,11,10,8,12,7,3]
[3,7,12,9,10,11,1,8,2,4,5,6]=>[6,5,4,2,8,1,11,10,9,12,7,3]
[3,8,12,9,10,11,7,1,2,4,5,6]=>[6,5,4,2,1,7,11,10,9,12,8,3]
[4,5,6,12,1,2,8,3,10,7,11,9]=>[9,11,7,10,3,8,2,1,12,6,5,4]
[4,5,6,12,1,2,8,3,11,10,7,9]=>[9,7,10,11,3,8,2,1,12,6,5,4]
[4,5,6,12,1,2,9,10,3,7,11,8]=>[8,11,7,3,10,9,2,1,12,6,5,4]
[4,5,6,12,1,2,9,11,3,10,7,8]=>[8,7,10,3,11,9,2,1,12,6,5,4]
[4,5,6,12,1,2,10,11,9,3,7,8]=>[8,7,3,9,11,10,2,1,12,6,5,4]
[4,5,7,12,1,8,2,3,10,6,11,9]=>[9,11,6,10,3,2,8,1,12,7,5,4]
[4,5,7,12,1,8,2,3,11,10,6,9]=>[9,6,10,11,3,2,8,1,12,7,5,4]
[4,5,7,12,1,9,2,10,3,6,11,8]=>[8,11,6,3,10,2,9,1,12,7,5,4]
[4,5,7,12,1,9,2,11,3,10,6,8]=>[8,6,10,3,11,2,9,1,12,7,5,4]
[4,5,7,12,1,10,2,11,9,3,6,8]=>[8,6,3,9,11,2,10,1,12,7,5,4]
[4,5,8,12,1,9,10,2,3,6,11,7]=>[7,11,6,3,2,10,9,1,12,8,5,4]
[4,5,8,12,1,9,11,2,3,10,6,7]=>[7,6,10,3,2,11,9,1,12,8,5,4]
[4,5,8,12,1,10,11,2,9,3,6,7]=>[7,6,3,9,2,11,10,1,12,8,5,4]
[4,5,9,12,1,10,11,8,2,3,6,7]=>[7,6,3,2,8,11,10,1,12,9,5,4]
[4,6,7,12,8,1,2,3,10,5,11,9]=>[9,11,5,10,3,2,1,8,12,7,6,4]
[4,6,7,12,8,1,2,3,11,10,5,9]=>[9,5,10,11,3,2,1,8,12,7,6,4]
[4,6,7,12,9,1,2,10,3,5,11,8]=>[8,11,5,3,10,2,1,9,12,7,6,4]
[4,6,7,12,9,1,2,11,3,10,5,8]=>[8,5,10,3,11,2,1,9,12,7,6,4]
[4,6,7,12,10,1,2,11,9,3,5,8]=>[8,5,3,9,11,2,1,10,12,7,6,4]
[4,6,8,12,9,1,10,2,3,5,11,7]=>[7,11,5,3,2,10,1,9,12,8,6,4]
[4,6,8,12,9,1,11,2,3,10,5,7]=>[7,5,10,3,2,11,1,9,12,8,6,4]
[4,6,8,12,10,1,11,2,9,3,5,7]=>[7,5,3,9,2,11,1,10,12,8,6,4]
[4,6,9,12,10,1,11,8,2,3,5,7]=>[7,5,3,2,8,11,1,10,12,9,6,4]
[4,7,8,12,9,10,1,2,3,5,11,6]=>[6,11,5,3,2,1,10,9,12,8,7,4]
[4,7,8,12,9,11,1,2,3,10,5,6]=>[6,5,10,3,2,1,11,9,12,8,7,4]
[4,7,8,12,10,11,1,2,9,3,5,6]=>[6,5,3,9,2,1,11,10,12,8,7,4]
[4,7,9,12,10,11,1,8,2,3,5,6]=>[6,5,3,2,8,1,11,10,12,9,7,4]
[4,8,9,12,10,11,7,1,2,3,5,6]=>[6,5,3,2,1,7,11,10,12,9,8,4]
[5,6,7,8,12,1,2,3,10,4,11,9]=>[9,11,4,10,3,2,1,12,8,7,6,5]
[5,6,7,8,12,1,2,3,11,10,4,9]=>[9,4,10,11,3,2,1,12,8,7,6,5]
[5,6,7,9,12,1,2,10,3,4,11,8]=>[8,11,4,3,10,2,1,12,9,7,6,5]
[5,6,7,9,12,1,2,11,3,10,4,8]=>[8,4,10,3,11,2,1,12,9,7,6,5]
[5,6,7,10,12,1,2,11,9,3,4,8]=>[8,4,3,9,11,2,1,12,10,7,6,5]
[5,6,8,9,12,1,10,2,3,4,11,7]=>[7,11,4,3,2,10,1,12,9,8,6,5]
[5,6,8,9,12,1,11,2,3,10,4,7]=>[7,4,10,3,2,11,1,12,9,8,6,5]
[5,6,8,10,12,1,11,2,9,3,4,7]=>[7,4,3,9,2,11,1,12,10,8,6,5]
[5,6,9,10,12,1,11,8,2,3,4,7]=>[7,4,3,2,8,11,1,12,10,9,6,5]
[5,7,8,9,12,10,1,2,3,4,11,6]=>[6,11,4,3,2,1,10,12,9,8,7,5]
[5,7,8,9,12,11,1,2,3,10,4,6]=>[6,4,10,3,2,1,11,12,9,8,7,5]
[5,7,8,10,12,11,1,2,9,3,4,6]=>[6,4,3,9,2,1,11,12,10,8,7,5]
[5,7,9,10,12,11,1,8,2,3,4,6]=>[6,4,3,2,8,1,11,12,10,9,7,5]
[5,8,9,10,12,11,7,1,2,3,4,6]=>[6,4,3,2,1,7,11,12,10,9,8,5]
[6,7,8,9,10,12,1,2,3,4,11,5]=>[5,11,4,3,2,1,12,10,9,8,7,6]
[6,7,8,9,11,12,1,2,3,10,4,5]=>[5,4,10,3,2,1,12,11,9,8,7,6]
[6,7,8,10,11,12,1,2,9,3,4,5]=>[5,4,3,9,2,1,12,11,10,8,7,6]
[6,7,9,10,11,12,1,8,2,3,4,5]=>[5,4,3,2,8,1,12,11,10,9,7,6]
[6,8,9,10,11,12,7,1,2,3,4,5]=>[5,4,3,2,1,7,12,11,10,9,8,6]
[7,8,9,10,11,6,12,1,2,3,4,5]=>[5,4,3,2,1,12,6,11,10,9,8,7]
[2,1,4,3,6,5,9,12,11,8,10,7]=>[7,10,8,11,12,9,5,6,3,4,1,2]
[2,1,4,3,7,10,9,6,8,5,12,11]=>[11,12,5,8,6,9,10,7,3,4,1,2]
[2,1,4,3,7,12,10,6,8,11,9,5]=>[5,9,11,8,6,10,12,7,3,4,1,2]
[2,1,4,3,8,11,6,10,7,9,12,5]=>[5,12,9,7,10,6,11,8,3,4,1,2]
[2,1,5,3,6,4,9,12,11,8,10,7]=>[7,10,8,11,12,9,4,6,3,5,1,2]
[2,1,5,8,7,4,6,3,10,9,12,11]=>[11,12,9,10,3,6,4,7,8,5,1,2]
[2,1,5,8,7,4,6,3,11,9,12,10]=>[10,12,9,11,3,6,4,7,8,5,1,2]
[2,1,5,10,8,4,6,9,7,3,12,11]=>[11,12,3,7,9,6,4,8,10,5,1,2]
[2,1,5,12,8,4,9,11,3,7,6,10]=>[10,6,7,3,11,9,4,8,12,5,1,2]
[2,1,5,12,8,11,6,10,7,9,4,3]=>[3,4,9,7,10,6,11,8,12,5,1,2]
[2,1,5,12,9,4,6,7,10,11,8,3]=>[3,8,11,10,7,6,4,9,12,5,1,2]
[2,1,6,9,4,8,5,7,10,3,12,11]=>[11,12,3,10,7,5,8,4,9,6,1,2]
[2,1,6,9,4,8,12,5,11,7,10,3]=>[3,10,7,11,5,12,8,4,9,6,1,2]
[2,1,6,11,8,10,5,3,7,4,12,9]=>[9,12,4,7,3,5,10,8,11,6,1,2]
[2,1,6,11,4,9,5,7,10,8,12,3]=>[3,12,8,10,7,5,9,4,11,6,1,2]
[2,1,7,3,4,8,9,12,11,6,10,5]=>[5,10,6,11,12,9,8,4,3,7,1,2]
[2,1,7,10,4,5,9,6,8,11,12,3]=>[3,12,11,8,6,9,5,4,10,7,1,2]
[3,1,4,2,6,5,9,12,11,8,10,7]=>[7,10,8,11,12,9,5,6,2,4,1,3]
[3,1,4,2,7,10,9,6,8,5,12,11]=>[11,12,5,8,6,9,10,7,2,4,1,3]
[3,1,4,2,7,12,10,6,8,11,9,5]=>[5,9,11,8,6,10,12,7,2,4,1,3]
[3,1,4,2,8,11,6,10,7,9,12,5]=>[5,12,9,7,10,6,11,8,2,4,1,3]
[3,6,5,2,4,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,4,2,5,6,3]
[3,6,5,2,4,1,8,7,11,9,12,10]=>[10,12,9,11,7,8,1,4,2,5,6,3]
[3,6,5,2,4,1,9,7,10,8,12,11]=>[11,12,8,10,7,9,1,4,2,5,6,3]
[3,6,5,2,4,1,9,12,11,8,10,7]=>[7,10,8,11,12,9,1,4,2,5,6,3]
[3,6,5,2,4,1,10,7,8,11,12,9]=>[9,12,11,8,7,10,1,4,2,5,6,3]
[3,12,5,8,2,4,9,11,1,7,10,6]=>[6,10,7,1,11,9,4,2,8,5,12,3]
[3,12,5,8,2,11,6,10,7,9,1,4]=>[4,1,9,7,10,6,11,2,8,5,12,3]
[3,8,6,2,4,7,5,1,10,9,12,11]=>[11,12,9,10,1,5,7,4,2,6,8,3]
[3,8,6,2,4,7,5,1,11,9,12,10]=>[10,12,9,11,1,5,7,4,2,6,8,3]
[3,10,6,2,7,9,1,5,4,8,12,11]=>[11,12,8,4,5,1,9,7,2,6,10,3]
[3,12,6,2,7,9,1,11,4,8,5,10]=>[10,5,8,4,11,1,9,7,2,6,12,3]
[3,12,6,2,7,10,1,5,8,11,4,9]=>[9,4,11,8,5,1,10,7,2,6,12,3]
[3,10,6,9,4,8,5,7,2,1,12,11]=>[11,12,1,2,7,5,8,4,9,6,10,3]
[3,12,6,9,4,8,11,5,2,7,1,10]=>[10,1,7,2,5,11,8,4,9,6,12,3]
[3,12,6,11,8,10,5,2,7,9,1,4]=>[4,1,9,7,2,5,10,8,11,6,12,3]
[3,12,6,11,4,9,5,7,10,8,2,1]=>[1,2,8,10,7,5,9,4,11,6,12,3]
[3,10,7,2,4,5,8,9,6,1,12,11]=>[11,12,1,6,9,8,5,4,2,7,10,3]
[3,12,7,2,4,8,9,11,5,6,1,10]=>[10,1,6,5,11,9,8,4,2,7,12,3]
[3,12,7,2,8,5,11,10,6,4,9,1]=>[1,9,4,6,10,11,5,8,2,7,12,3]
[3,12,7,10,4,5,9,6,8,11,2,1]=>[1,2,11,8,6,9,5,4,10,7,12,3]
[3,12,8,2,4,5,6,9,10,11,7,1]=>[1,7,11,10,9,6,5,4,2,8,12,3]
[4,1,2,5,6,3,9,12,11,8,10,7]=>[7,10,8,11,12,9,3,6,5,2,1,4]
[4,1,5,12,8,3,9,11,2,7,10,6]=>[6,10,7,2,11,9,3,8,12,5,1,4]
[4,1,5,12,8,11,6,10,7,9,2,3]=>[3,2,9,7,10,6,11,8,12,5,1,4]
[4,7,2,6,3,5,8,1,10,9,12,11]=>[11,12,9,10,1,8,5,3,6,2,7,4]
[4,7,2,6,3,5,8,1,11,9,12,10]=>[10,12,9,11,1,8,5,3,6,2,7,4]
[4,7,2,6,10,3,9,5,8,1,12,11]=>[11,12,1,8,5,9,3,10,6,2,7,4]
[4,7,2,6,12,3,9,11,5,8,1,10]=>[10,1,8,5,11,9,3,12,6,2,7,4]
[4,7,2,6,12,3,10,5,8,11,9,1]=>[1,9,11,8,5,10,3,12,6,2,7,4]
[4,9,6,8,3,1,5,2,10,7,12,11]=>[11,12,7,10,2,5,1,3,8,6,9,4]
[4,9,6,8,3,1,12,2,11,7,10,5]=>[5,10,7,11,2,12,1,3,8,6,9,4]
[4,11,6,8,10,1,5,2,7,3,12,9]=>[9,12,3,7,2,5,1,10,8,6,11,4]
[4,11,6,9,3,1,5,7,10,2,12,8]=>[8,12,2,10,7,5,1,3,9,6,11,4]
[4,9,2,7,3,5,8,6,10,1,12,11]=>[11,12,1,10,6,8,5,3,7,2,9,4]
[4,9,2,7,3,8,12,1,11,6,10,5]=>[5,10,6,11,1,12,8,3,7,2,9,4]
[4,11,2,7,8,5,10,1,6,3,12,9]=>[9,12,3,6,1,10,5,8,7,2,11,4]
[4,11,7,10,3,5,9,6,2,8,12,1]=>[1,12,8,2,6,9,5,3,10,7,11,4]
[4,11,2,8,3,5,6,9,10,7,12,1]=>[1,12,7,10,9,6,5,3,8,2,11,4]
[5,1,2,6,7,10,9,4,8,3,12,11]=>[11,12,3,8,4,9,10,7,6,2,1,5]
[5,1,2,6,7,12,10,4,8,11,9,3]=>[3,9,11,8,4,10,12,7,6,2,1,5]
[5,1,6,3,9,8,12,2,11,7,10,4]=>[4,10,7,11,2,12,8,9,3,6,1,5]
[5,1,6,11,8,10,4,3,7,9,12,2]=>[2,12,9,7,3,4,10,8,11,6,1,5]
[5,8,2,3,7,4,6,9,10,1,12,11]=>[11,12,1,10,9,6,4,7,3,2,8,5]
[5,8,2,3,7,9,4,12,11,6,1,10]=>[10,1,6,11,12,4,9,7,3,2,8,5]
[5,8,2,7,11,4,1,10,6,9,12,3]=>[3,12,9,6,10,1,4,11,7,2,8,5]
[5,10,7,3,9,4,1,6,2,11,12,8]=>[8,12,11,2,6,1,4,9,3,7,10,5]
[5,10,2,3,8,4,6,9,7,11,12,1]=>[1,12,11,7,9,6,4,8,3,2,10,5]
[6,1,2,7,4,8,11,10,5,9,12,3]=>[3,12,9,5,10,11,8,4,7,2,1,6]
[6,9,2,3,4,8,5,7,10,11,12,1]=>[1,12,11,10,7,5,8,4,3,2,9,6]
[3,6,9,2,5,8,11,1,4,7,10,12]=>[12,10,7,4,1,11,8,5,2,9,6,3]
[4,3,7,2,6,9,11,1,5,8,10,12]=>[12,10,8,5,1,11,9,6,2,7,3,4]
[5,4,3,2,7,9,11,1,6,8,10,12]=>[12,10,8,6,1,11,9,7,2,3,4,5]
[4,3,7,10,2,6,9,1,5,8,11,12]=>[12,11,8,5,1,9,6,2,10,7,3,4]
[4,8,3,7,2,6,10,1,5,9,11,12]=>[12,11,9,5,1,10,6,2,7,3,8,4]
[5,4,3,8,2,7,10,1,6,9,11,12]=>[12,11,9,6,1,10,7,2,8,3,4,5]
[5,4,9,3,8,2,7,1,6,10,11,12]=>[12,11,10,6,1,7,2,8,3,9,4,5]
[4,3,7,10,2,6,9,12,1,5,8,11]=>[11,8,5,1,12,9,6,2,10,7,3,4]
[5,4,3,8,2,7,10,12,1,6,9,11]=>[11,9,6,1,12,10,7,2,8,3,4,5]
[4,8,3,7,11,2,6,10,1,5,9,12]=>[12,9,5,1,10,6,2,11,7,3,8,4]
[5,4,3,8,11,2,7,10,1,6,9,12]=>[12,9,6,1,10,7,2,11,8,3,4,5]
[5,4,9,3,8,2,7,11,1,6,10,12]=>[12,10,6,1,11,7,2,8,3,9,4,5]
[5,4,9,3,8,12,2,7,11,1,6,10]=>[10,6,1,11,7,2,12,8,3,9,4,5]
[10,12,7,11,8,5,3,1,9,6,4,2]=>[2,4,6,9,1,3,5,8,11,7,12,10]
[9,5,10,12,6,3,1,11,8,7,4,2]=>[2,4,7,8,11,1,3,6,12,10,5,9]
[11,5,8,12,6,3,1,10,9,7,4,2]=>[2,4,7,9,10,1,3,6,12,8,5,11]
[10,8,12,5,11,9,6,3,1,7,4,2]=>[2,4,7,1,3,6,9,11,5,12,8,10]
[8,12,9,11,5,10,6,3,1,7,4,2]=>[2,4,7,1,3,6,10,5,11,9,12,8]
[12,5,6,10,11,9,7,3,1,8,4,2]=>[2,4,8,1,3,7,9,11,10,6,5,12]
[12,9,11,5,10,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,10,5,11,9,12]
[7,3,12,10,8,11,4,1,9,6,5,2]=>[2,5,6,9,1,4,11,8,10,12,3,7]
[7,12,8,3,9,11,4,1,10,6,5,2]=>[2,5,6,10,1,4,11,9,3,8,12,7]
[11,3,6,4,9,1,12,10,8,7,5,2]=>[2,5,7,8,10,12,1,9,4,6,3,11]
[9,10,3,6,12,4,1,11,8,7,5,2]=>[2,5,7,8,11,1,4,12,6,3,10,9]
[11,8,3,6,12,10,4,1,9,7,5,2]=>[2,5,7,9,1,4,10,12,6,3,8,11]
[10,8,6,12,3,11,9,7,4,1,5,2]=>[2,5,1,4,7,9,11,3,12,6,8,10]
[8,12,9,6,11,3,10,7,4,1,5,2]=>[2,5,1,4,7,10,3,11,6,9,12,8]
[11,3,6,12,7,10,4,1,9,8,5,2]=>[2,5,8,9,1,4,10,7,12,6,3,11]
[6,7,10,12,3,11,9,8,4,1,5,2]=>[2,5,1,4,8,9,11,3,12,10,7,6]
[9,6,12,11,7,10,3,8,4,1,5,2]=>[2,5,1,4,8,3,10,7,11,12,6,9]
[6,12,11,7,8,10,3,9,4,1,5,2]=>[2,5,1,4,9,3,10,8,7,11,12,6]
[3,4,9,12,5,10,1,11,8,7,6,2]=>[2,6,7,8,11,1,10,5,12,9,4,3]
[3,4,5,11,12,10,8,1,9,7,6,2]=>[2,6,7,9,1,8,10,12,11,5,4,3]
[3,4,10,12,8,11,9,7,5,1,6,2]=>[2,6,1,5,7,9,11,8,12,10,4,3]
[8,12,3,9,11,4,10,7,5,1,6,2]=>[2,6,1,5,7,10,4,11,9,3,12,8]
[3,11,12,7,10,4,5,1,9,8,6,2]=>[2,6,8,9,1,5,4,10,7,12,11,3]
[10,12,3,7,11,4,9,8,5,1,6,2]=>[2,6,1,5,8,9,4,11,7,3,12,10]
[9,12,7,11,3,10,8,4,5,1,6,2]=>[2,6,1,5,4,8,10,3,11,7,12,9]
[12,7,11,8,10,3,9,4,5,1,6,2]=>[2,6,1,5,4,9,3,10,8,11,7,12]
[12,10,11,3,4,5,9,8,6,1,7,2]=>[2,7,1,6,8,9,5,4,3,11,10,12]
[12,11,3,4,9,10,8,5,6,1,7,2]=>[2,7,1,6,5,8,10,9,4,3,11,12]
[12,11,8,10,3,9,4,5,6,1,7,2]=>[2,7,1,6,5,4,9,3,10,8,11,12]
[10,1,12,7,2,11,8,5,9,6,4,3]=>[3,4,6,9,5,8,11,2,7,12,1,10]
[9,5,1,10,6,12,2,11,8,7,4,3]=>[3,4,7,8,11,2,12,6,10,1,5,9]
[11,5,1,8,6,12,2,10,9,7,4,3]=>[3,4,7,9,10,2,12,6,8,1,5,11]
[10,5,1,12,8,6,11,9,2,7,4,3]=>[3,4,7,2,9,11,6,8,12,1,5,10]
[12,11,8,5,1,9,6,10,2,7,4,3]=>[3,4,7,2,10,6,9,1,5,8,11,12]
[11,5,6,1,7,12,2,10,9,8,4,3]=>[3,4,8,9,10,2,12,7,1,6,5,11]
[10,5,6,1,12,7,11,9,2,8,4,3]=>[3,4,8,2,9,11,7,12,1,6,5,10]
[9,5,12,11,6,1,7,10,2,8,4,3]=>[3,4,8,2,10,7,1,6,11,12,5,9]
[5,12,11,6,7,1,8,10,2,9,4,3]=>[3,4,9,2,10,8,1,7,6,11,12,5]
[11,1,4,2,9,7,12,10,8,6,5,3]=>[3,5,6,8,10,12,7,9,2,4,1,11]
[1,9,10,4,2,12,7,11,8,6,5,3]=>[3,5,6,8,11,7,12,2,4,10,9,1]
[1,12,7,10,8,4,11,2,9,6,5,3]=>[3,5,6,9,2,11,4,8,10,7,12,1]
[7,8,9,1,12,4,11,2,10,6,5,3]=>[3,5,6,10,2,11,4,12,1,9,8,7]
[11,6,1,4,2,12,9,10,8,7,5,3]=>[3,5,7,8,10,9,12,2,4,1,6,11]
[9,10,6,4,12,1,2,11,8,7,5,3]=>[3,5,7,8,11,2,1,12,4,6,10,9]
[8,11,1,6,4,12,10,9,2,7,5,3]=>[3,5,7,2,9,10,12,4,6,1,11,8]
[10,8,6,4,12,1,11,9,7,5,2,3]=>[3,2,5,7,9,11,1,12,4,6,8,10]
[8,12,9,6,4,11,1,10,7,5,2,3]=>[3,2,5,7,10,1,11,4,6,9,12,8]
[11,1,12,6,7,4,10,9,2,8,5,3]=>[3,5,8,2,9,10,4,7,6,12,1,11]
[6,7,10,4,12,1,11,9,8,5,2,3]=>[3,2,5,8,9,11,1,12,4,10,7,6]
[9,6,12,11,7,4,10,1,8,5,2,3]=>[3,2,5,8,1,10,4,7,11,12,6,9]
[6,12,11,7,8,4,10,1,9,5,2,3]=>[3,2,5,9,1,10,4,8,7,11,12,6]
[11,4,5,1,2,12,9,10,8,7,6,3]=>[3,6,7,8,10,9,12,2,1,5,4,11]
[4,9,5,10,12,1,2,11,8,7,6,3]=>[3,6,7,8,11,2,1,12,10,5,9,4]
[1,8,11,4,5,12,10,9,2,7,6,3]=>[3,6,7,2,9,10,12,5,4,11,8,1]
[4,5,10,8,12,1,11,9,7,6,2,3]=>[3,2,6,7,9,11,1,12,8,10,5,4]
[8,9,4,12,5,11,1,10,7,6,2,3]=>[3,2,6,7,10,1,11,5,12,4,9,8]
[11,12,1,4,10,7,5,9,2,8,6,3]=>[3,6,8,2,9,5,7,10,4,1,12,11]
[10,12,4,7,5,11,1,9,8,6,2,3]=>[3,2,6,8,9,1,11,5,7,4,12,10]
[12,9,7,4,11,5,10,8,1,6,2,3]=>[3,2,6,1,8,10,5,11,4,7,9,12]
[7,12,11,8,4,10,5,9,1,6,2,3]=>[3,2,6,1,9,5,10,4,8,11,12,7]
[11,1,12,4,5,10,6,9,2,8,7,3]=>[3,7,8,2,9,6,10,5,4,12,1,11]
[12,10,4,5,6,11,1,9,8,7,2,3]=>[3,2,7,8,9,1,11,6,5,4,10,12]
[12,9,4,5,11,6,10,8,1,7,2,3]=>[3,2,7,1,8,10,6,11,5,4,9,12]
[12,8,4,11,10,5,6,9,1,7,2,3]=>[3,2,7,1,9,6,5,10,11,4,8,12]
[4,12,11,10,5,6,7,9,1,8,2,3]=>[3,2,8,1,9,7,6,5,10,11,12,4]
[1,2,9,10,3,12,7,11,8,6,5,4]=>[4,5,6,8,11,7,12,3,10,9,2,1]
[1,2,10,7,12,3,11,8,9,6,5,4]=>[4,5,6,9,8,11,3,12,7,10,2,1]
[7,1,8,12,2,9,11,3,10,6,5,4]=>[4,5,6,10,3,11,9,2,12,8,1,7]
[1,2,3,11,6,12,9,10,8,7,5,4]=>[4,5,7,8,10,9,12,6,11,3,2,1]
[1,9,2,10,12,3,6,11,8,7,5,4]=>[4,5,7,8,11,6,3,12,10,2,9,1]
[1,2,8,3,11,12,10,9,6,7,5,4]=>[4,5,7,6,9,10,12,11,3,8,2,1]
[1,2,10,8,12,6,11,9,7,5,3,4]=>[4,3,5,7,9,11,6,12,8,10,2,1]
[1,8,2,12,9,11,6,10,7,5,3,4]=>[4,3,5,7,10,6,11,9,12,2,8,1]
[6,1,2,11,12,7,10,9,3,8,5,4]=>[4,5,8,3,9,10,7,12,11,2,1,6]
[6,1,7,12,2,10,11,9,8,5,3,4]=>[4,3,5,8,9,11,10,2,12,7,1,6]
[6,1,9,12,11,7,10,2,8,5,3,4]=>[4,3,5,8,2,10,7,11,12,9,1,6]
[6,7,12,11,1,8,10,2,9,5,3,4]=>[4,3,5,9,2,10,8,1,11,12,7,6]
[11,12,1,2,5,3,9,10,8,7,6,4]=>[4,6,7,8,10,9,3,5,2,1,12,11]
[9,5,12,1,2,3,10,11,8,7,6,4]=>[4,6,7,8,11,10,3,2,1,12,5,9]
[11,1,2,8,12,5,10,9,3,7,6,4]=>[4,6,7,3,9,10,5,12,8,2,1,11]
[10,1,5,12,2,8,11,9,7,6,3,4]=>[4,3,6,7,9,11,8,2,12,5,1,10]
[8,9,12,1,5,11,2,10,7,6,3,4]=>[4,3,6,7,10,2,11,5,1,12,9,8]
[11,1,7,12,5,10,9,2,3,8,6,4]=>[4,6,8,3,2,9,10,5,12,7,1,11]
[10,7,12,1,5,11,9,2,8,6,3,4]=>[4,3,6,8,2,9,11,5,1,12,7,10]
[9,7,12,5,11,1,10,8,6,2,3,4]=>[4,3,2,6,8,10,1,11,5,12,7,9]
[7,8,12,11,5,10,1,9,6,2,3,4]=>[4,3,2,6,9,1,10,5,11,12,8,7]
[1,11,12,5,10,6,9,2,3,8,7,4]=>[4,7,8,3,2,9,6,10,5,12,11,1]
[10,12,1,5,11,6,9,2,8,7,3,4]=>[4,3,7,8,2,9,6,11,5,1,12,10]
[12,5,6,9,11,1,10,8,7,2,3,4]=>[4,3,2,7,8,10,1,11,9,6,5,12]
[8,12,5,11,10,6,9,1,7,2,3,4]=>[4,3,2,7,1,9,6,10,11,5,12,8]
[12,5,11,10,6,7,9,1,8,2,3,4]=>[4,3,2,8,1,9,7,6,10,11,5,12]
[11,1,12,2,3,4,9,10,8,7,6,5]=>[5,6,7,8,10,9,4,3,2,12,1,11]
[1,11,12,2,3,8,10,9,4,7,6,5]=>[5,6,7,4,9,10,8,3,2,12,11,1]
[10,12,1,2,3,8,11,9,7,6,4,5]=>[5,4,6,7,9,11,8,3,2,1,12,10]
[12,1,2,8,11,3,9,10,7,6,4,5]=>[5,4,6,7,10,9,3,11,8,2,1,12]
[11,12,1,2,3,10,9,4,7,8,6,5]=>[5,6,8,7,4,9,10,3,2,1,12,11]
[12,1,2,3,10,11,9,7,8,6,4,5]=>[5,4,6,8,7,9,11,10,3,2,1,12]
[12,1,2,9,11,7,10,8,6,3,4,5]=>[5,4,3,6,8,10,7,11,9,2,1,12]
[12,7,11,1,8,10,2,9,6,3,4,5]=>[5,4,3,6,9,2,10,8,1,11,7,12]
[11,12,1,10,6,9,2,3,4,8,7,5]=>[5,7,8,4,3,2,9,6,10,1,12,11]
[12,1,10,11,6,9,2,3,8,7,4,5]=>[5,4,7,8,3,2,9,6,11,10,1,12]
[12,9,11,1,6,10,2,8,7,3,4,5]=>[5,4,3,7,8,2,10,6,1,11,9,12]
[12,8,11,6,10,1,9,7,2,3,4,5]=>[5,4,3,2,7,9,1,10,6,11,8,12]
[12,11,6,10,7,9,1,8,2,3,4,5]=>[5,4,3,2,8,1,9,7,10,6,11,12]
[12,10,11,9,1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1,9,11,10,12]
[12,11,9,10,1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1,10,9,11,12]
[12,11,10,1,2,8,9,7,3,4,5,6]=>[6,5,4,3,7,9,8,2,1,10,11,12]
[12,11,10,7,9,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,9,7,10,11,12]
[7,8,6,9,5,10,4,12,2,1,11,3]=>[3,11,1,2,12,4,10,5,9,6,8,7]
[7,8,6,9,5,10,4,12,3,11,1,2]=>[2,1,11,3,12,4,10,5,9,6,8,7]
[12,11,10,7,9,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,9,7,10,11,12]
[12,11,3,4,5,10,9,8,7,6,2,1]=>[1,2,6,7,8,9,10,5,4,3,11,12]
[1,12,11,10,9,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,9,10,11,12,1]
[1,12,10,11,9,6,8,7,5,3,4,2]=>[2,4,3,5,7,8,6,9,11,10,12,1]
[1,12,10,4,5,11,9,8,7,3,6,2]=>[2,6,3,7,8,9,11,5,4,10,12,1]
[1,12,11,9,10,8,7,6,4,5,3,2]=>[2,3,5,4,6,7,8,10,9,11,12,1]
[1,12,11,4,10,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,10,4,11,12,1]
[1,2,12,9,5,11,10,8,4,7,6,3]=>[3,6,7,4,8,10,11,5,9,12,2,1]
[1,12,11,10,9,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,9,10,11,12,1]
[1,12,11,4,10,9,7,8,6,5,3,2]=>[2,3,5,6,8,7,9,10,4,11,12,1]
[1,2,12,11,10,9,7,8,6,5,4,3]=>[3,4,5,6,8,7,9,10,11,12,2,1]
[1,12,11,4,5,10,9,8,7,6,3,2]=>[2,3,6,7,8,9,10,5,4,11,12,1]
[1,2,12,11,5,10,9,8,7,6,4,3]=>[3,4,6,7,8,9,10,5,11,12,2,1]
[1,2,3,12,11,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,11,12,3,2,1]
[1,2,3,12,8,11,10,5,9,7,6,4]=>[4,6,7,9,5,10,11,8,12,3,2,1]
[12,11,3,4,5,6,7,10,9,8,2,1]=>[1,2,8,9,10,7,6,5,4,3,11,12]
[1,12,11,4,5,6,7,10,9,8,3,2]=>[2,3,8,9,10,7,6,5,4,11,12,1]
[1,2,12,11,5,6,7,10,9,8,4,3]=>[3,4,8,9,10,7,6,5,11,12,2,1]
[1,2,3,12,11,6,7,10,9,8,5,4]=>[4,5,8,9,10,7,6,11,12,3,2,1]
[1,2,3,4,12,11,7,10,9,8,6,5]=>[5,6,8,9,10,7,11,12,4,3,2,1]
[2,12,4,1,6,3,8,5,9,10,7,11]=>[11,7,10,9,5,8,3,6,1,4,12,2]
[2,12,4,1,6,3,8,10,5,9,11,7]=>[7,11,9,5,10,8,3,6,1,4,12,2]
[2,12,4,1,6,3,7,11,5,10,9,8]=>[8,9,10,5,11,7,3,6,1,4,12,2]
[2,12,4,1,6,3,7,8,9,5,10,11]=>[11,10,5,9,8,7,3,6,1,4,12,2]
[2,12,4,1,6,8,3,7,10,5,11,9]=>[9,11,5,10,7,3,8,6,1,4,12,2]
[2,12,4,1,6,8,3,7,9,10,5,11]=>[11,5,10,9,7,3,8,6,1,4,12,2]
[2,12,4,1,8,9,3,10,7,6,11,5]=>[5,11,6,7,10,3,9,8,1,4,12,2]
[2,12,4,1,5,9,3,11,7,10,6,8]=>[8,6,10,7,11,3,9,5,1,4,12,2]
[2,12,4,1,5,10,3,8,9,7,6,11]=>[11,6,7,9,8,3,10,5,1,4,12,2]
[2,12,4,1,6,7,10,3,8,9,11,5]=>[5,11,9,8,3,10,7,6,1,4,12,2]
[2,12,4,1,5,7,11,3,8,10,9,6]=>[6,9,10,8,3,11,7,5,1,4,12,2]
[2,12,4,1,5,6,11,3,9,8,10,7]=>[7,10,8,9,3,11,6,5,1,4,12,2]
[2,12,4,1,5,6,7,8,3,9,10,11]=>[11,10,9,3,8,7,6,5,1,4,12,2]
[2,12,4,6,1,5,8,3,10,7,11,9]=>[9,11,7,10,3,8,5,1,6,4,12,2]
[2,12,4,6,1,5,8,3,9,10,7,11]=>[11,7,10,9,3,8,5,1,6,4,12,2]
[2,12,4,6,1,5,8,10,3,9,11,7]=>[7,11,9,3,10,8,5,1,6,4,12,2]
[2,12,4,6,1,5,7,11,3,10,9,8]=>[8,9,10,3,11,7,5,1,6,4,12,2]
[2,12,4,6,1,5,7,8,9,3,10,11]=>[11,10,3,9,8,7,5,1,6,4,12,2]
[2,12,6,7,1,8,5,4,10,3,11,9]=>[9,11,3,10,4,5,8,1,7,6,12,2]
[2,12,6,7,1,8,5,4,9,10,3,11]=>[11,3,10,9,4,5,8,1,7,6,12,2]
[2,12,8,7,1,9,5,10,4,6,11,3]=>[3,11,6,4,10,5,9,1,7,8,12,2]
[2,12,3,7,1,9,5,11,4,10,6,8]=>[8,6,10,4,11,5,9,1,7,3,12,2]
[2,12,3,7,1,10,5,8,9,4,6,11]=>[11,6,4,9,8,5,10,1,7,3,12,2]
[2,12,6,8,1,7,10,5,4,9,11,3]=>[3,11,9,4,5,10,7,1,8,6,12,2]
[2,12,3,8,1,7,11,5,4,10,9,6]=>[6,9,10,4,5,11,7,1,8,3,12,2]
[2,12,3,8,1,6,11,5,9,4,10,7]=>[7,10,4,9,5,11,6,1,8,3,12,2]
[2,12,3,9,1,6,7,8,5,4,10,11]=>[11,10,4,5,8,7,6,1,9,3,12,2]
[2,12,4,5,8,1,6,7,10,3,11,9]=>[9,11,3,10,7,6,1,8,5,4,12,2]
[2,12,4,5,8,1,6,7,9,10,3,11]=>[11,3,10,9,7,6,1,8,5,4,12,2]
[2,12,8,5,9,1,6,10,7,4,11,3]=>[3,11,4,7,10,6,1,9,5,8,12,2]
[2,12,3,5,9,1,6,11,7,10,4,8]=>[8,4,10,7,11,6,1,9,5,3,12,2]
[2,12,3,5,10,1,6,8,9,7,4,11]=>[11,4,7,9,8,6,1,10,5,3,12,2]
[2,12,4,7,9,1,10,6,8,5,11,3]=>[3,11,5,8,6,10,1,9,7,4,12,2]
[2,12,3,7,9,1,11,6,8,10,5,4]=>[4,5,10,8,6,11,1,9,7,3,12,2]
[2,12,3,4,10,1,11,6,9,8,5,7]=>[7,5,8,9,6,11,1,10,4,3,12,2]
[2,12,3,4,10,1,7,8,6,9,5,11]=>[11,5,9,6,8,7,1,10,4,3,12,2]
[2,12,4,5,6,10,1,7,8,9,11,3]=>[3,11,9,8,7,1,10,6,5,4,12,2]
[2,12,3,5,6,11,1,7,8,10,9,4]=>[4,9,10,8,7,1,11,6,5,3,12,2]
[2,12,3,4,6,11,1,7,9,8,10,5]=>[5,10,8,9,7,1,11,6,4,3,12,2]
[2,12,3,4,5,11,1,8,7,9,10,6]=>[6,10,9,7,8,1,11,5,4,3,12,2]
[2,12,3,4,5,6,7,1,8,9,10,11]=>[11,10,9,8,1,7,6,5,4,3,12,2]
[2,4,12,3,6,1,8,5,10,7,11,9]=>[9,11,7,10,5,8,1,6,3,12,4,2]
[2,4,12,3,6,1,8,5,9,10,7,11]=>[11,7,10,9,5,8,1,6,3,12,4,2]
[2,4,12,3,6,1,8,10,5,9,11,7]=>[7,11,9,5,10,8,1,6,3,12,4,2]
[2,4,12,3,6,1,7,11,5,10,9,8]=>[8,9,10,5,11,7,1,6,3,12,4,2]
[2,4,12,3,6,1,7,8,9,5,10,11]=>[11,10,5,9,8,7,1,6,3,12,4,2]
[2,4,12,3,6,8,1,7,10,5,11,9]=>[9,11,5,10,7,1,8,6,3,12,4,2]
[2,4,12,3,6,8,1,7,9,10,5,11]=>[11,5,10,9,7,1,8,6,3,12,4,2]
[2,4,12,3,8,9,1,10,7,6,11,5]=>[5,11,6,7,10,1,9,8,3,12,4,2]
[2,4,12,3,5,9,1,11,7,10,6,8]=>[8,6,10,7,11,1,9,5,3,12,4,2]
[2,4,12,3,5,10,1,8,9,7,6,11]=>[11,6,7,9,8,1,10,5,3,12,4,2]
[2,4,12,3,6,7,10,1,8,9,11,5]=>[5,11,9,8,1,10,7,6,3,12,4,2]
[2,4,12,3,5,7,11,1,8,10,9,6]=>[6,9,10,8,1,11,7,5,3,12,4,2]
[2,4,12,3,5,6,11,1,9,8,10,7]=>[7,10,8,9,1,11,6,5,3,12,4,2]
[2,4,12,3,5,6,7,8,1,9,10,11]=>[11,10,9,1,8,7,6,5,3,12,4,2]
[4,5,12,6,3,2,8,1,10,7,11,9]=>[9,11,7,10,1,8,2,3,6,12,5,4]
[4,5,12,6,3,2,8,1,9,10,7,11]=>[11,7,10,9,1,8,2,3,6,12,5,4]
[4,5,12,6,3,2,8,10,1,9,11,7]=>[7,11,9,1,10,8,2,3,6,12,5,4]
[4,5,12,6,3,2,7,11,1,10,9,8]=>[8,9,10,1,11,7,2,3,6,12,5,4]
[4,5,12,6,3,2,7,8,9,1,10,11]=>[11,10,1,9,8,7,2,3,6,12,5,4]
[6,5,12,7,3,8,2,4,10,1,11,9]=>[9,11,1,10,4,2,8,3,7,12,5,6]
[6,5,12,7,3,8,2,4,9,10,1,11]=>[11,1,10,9,4,2,8,3,7,12,5,6]
[8,5,12,7,3,9,2,10,4,6,11,1]=>[1,11,6,4,10,2,9,3,7,12,5,8]
[1,5,12,7,3,9,2,11,4,10,6,8]=>[8,6,10,4,11,2,9,3,7,12,5,1]
[1,5,12,7,3,10,2,8,9,4,6,11]=>[11,6,4,9,8,2,10,3,7,12,5,1]
[6,5,12,8,3,7,10,2,4,9,11,1]=>[1,11,9,4,2,10,7,3,8,12,5,6]
[1,5,12,8,3,7,11,2,4,10,9,6]=>[6,9,10,4,2,11,7,3,8,12,5,1]
[1,5,12,8,3,6,11,2,9,4,10,7]=>[7,10,4,9,2,11,6,3,8,12,5,1]
[1,5,12,9,3,6,7,8,2,4,10,11]=>[11,10,4,2,8,7,6,3,9,12,5,1]
[4,6,12,5,8,3,2,7,10,1,11,9]=>[9,11,1,10,7,2,3,8,5,12,6,4]
[4,6,12,5,8,3,2,7,9,10,1,11]=>[11,1,10,9,7,2,3,8,5,12,6,4]
[8,6,12,5,9,3,2,10,7,4,11,1]=>[1,11,4,7,10,2,3,9,5,12,6,8]
[1,6,12,5,9,3,2,11,7,10,4,8]=>[8,4,10,7,11,2,3,9,5,12,6,1]
[1,6,12,5,10,3,2,8,9,7,4,11]=>[11,4,7,9,8,2,3,10,5,12,6,1]
[4,6,12,7,9,3,10,2,8,5,11,1]=>[1,11,5,8,2,10,3,9,7,12,6,4]
[1,6,12,7,9,3,11,2,8,10,5,4]=>[4,5,10,8,2,11,3,9,7,12,6,1]
[1,6,12,4,10,3,11,2,9,8,5,7]=>[7,5,8,9,2,11,3,10,4,12,6,1]
[1,6,12,4,10,3,7,8,2,9,5,11]=>[11,5,9,2,8,7,3,10,4,12,6,1]
[4,7,12,5,6,10,3,2,8,9,11,1]=>[1,11,9,8,2,3,10,6,5,12,7,4]
[1,7,12,5,6,11,3,2,8,10,9,4]=>[4,9,10,8,2,3,11,6,5,12,7,1]
[1,7,12,4,6,11,3,2,9,8,10,5]=>[5,10,8,9,2,3,11,6,4,12,7,1]
[1,7,12,4,5,11,3,8,2,9,10,6]=>[6,10,9,2,8,3,11,5,4,12,7,1]
[1,8,12,4,5,6,7,3,2,9,10,11]=>[11,10,9,2,3,7,6,5,4,12,8,1]
[2,3,6,12,4,5,8,1,10,7,11,9]=>[9,11,7,10,1,8,5,4,12,6,3,2]
[2,3,6,12,4,5,8,1,9,10,7,11]=>[11,7,10,9,1,8,5,4,12,6,3,2]
[2,3,6,12,4,5,8,10,1,9,11,7]=>[7,11,9,1,10,8,5,4,12,6,3,2]
[2,3,6,12,4,5,7,11,1,10,9,8]=>[8,9,10,1,11,7,5,4,12,6,3,2]
[2,3,6,12,4,5,7,8,9,1,10,11]=>[11,10,1,9,8,7,5,4,12,6,3,2]
[6,3,7,12,4,8,5,2,10,1,11,9]=>[9,11,1,10,2,5,8,4,12,7,3,6]
[6,3,7,12,4,8,5,2,9,10,1,11]=>[11,1,10,9,2,5,8,4,12,7,3,6]
[8,3,7,12,4,9,5,10,2,6,11,1]=>[1,11,6,2,10,5,9,4,12,7,3,8]
[1,3,7,12,4,9,5,11,2,10,6,8]=>[8,6,10,2,11,5,9,4,12,7,3,1]
[1,3,7,12,4,10,5,8,9,2,6,11]=>[11,6,2,9,8,5,10,4,12,7,3,1]
[6,3,8,12,4,7,10,5,2,9,11,1]=>[1,11,9,2,5,10,7,4,12,8,3,6]
[1,3,8,12,4,7,11,5,2,10,9,6]=>[6,9,10,2,5,11,7,4,12,8,3,1]
[1,3,8,12,4,6,11,5,9,2,10,7]=>[7,10,2,9,5,11,6,4,12,8,3,1]
[1,3,9,12,4,6,7,8,5,2,10,11]=>[11,10,2,5,8,7,6,4,12,9,3,1]
[2,5,7,12,8,4,6,3,10,1,11,9]=>[9,11,1,10,3,6,4,8,12,7,5,2]
[2,5,7,12,8,4,6,3,9,10,1,11]=>[11,1,10,9,3,6,4,8,12,7,5,2]
[8,5,7,12,9,4,6,10,3,2,11,1]=>[1,11,2,3,10,6,4,9,12,7,5,8]
[1,5,7,12,9,4,6,11,3,10,2,8]=>[8,2,10,3,11,6,4,9,12,7,5,1]
[1,5,7,12,10,4,6,8,9,3,2,11]=>[11,2,3,9,8,6,4,10,12,7,5,1]
[2,7,8,12,9,4,10,6,3,5,11,1]=>[1,11,5,3,6,10,4,9,12,8,7,2]
[1,7,8,12,9,4,11,6,3,10,5,2]=>[2,5,10,3,6,11,4,9,12,8,7,1]
[1,2,8,12,10,4,11,6,9,3,5,7]=>[7,5,3,9,6,11,4,10,12,8,2,1]
[1,2,9,12,10,4,7,8,6,3,5,11]=>[11,5,3,6,8,7,4,10,12,9,2,1]
[2,5,8,12,6,10,4,7,3,9,11,1]=>[1,11,9,3,7,4,10,6,12,8,5,2]
[1,5,8,12,6,11,4,7,3,10,9,2]=>[2,9,10,3,7,4,11,6,12,8,5,1]
[1,2,8,12,6,11,4,7,9,3,10,5]=>[5,10,3,9,7,4,11,6,12,8,2,1]
[1,2,9,12,5,11,4,8,7,3,10,6]=>[6,10,3,7,8,4,11,5,12,9,2,1]
[1,2,9,12,5,6,7,4,8,3,10,11]=>[11,10,3,8,4,7,6,5,12,9,2,1]
[2,3,4,8,12,5,6,7,10,1,11,9]=>[9,11,1,10,7,6,5,12,8,4,3,2]
[2,3,4,8,12,5,6,7,9,10,1,11]=>[11,1,10,9,7,6,5,12,8,4,3,2]
[8,3,4,9,12,5,6,10,7,2,11,1]=>[1,11,2,7,10,6,5,12,9,4,3,8]
[1,3,4,9,12,5,6,11,7,10,2,8]=>[8,2,10,7,11,6,5,12,9,4,3,1]
[1,3,4,10,12,5,6,8,9,7,2,11]=>[11,2,7,9,8,6,5,12,10,4,3,1]
[2,7,4,9,12,5,10,6,8,3,11,1]=>[1,11,3,8,6,10,5,12,9,4,7,2]
[1,7,4,9,12,5,11,6,8,10,3,2]=>[2,3,10,8,6,11,5,12,9,4,7,1]
[1,2,4,10,12,5,11,6,9,8,3,7]=>[7,3,8,9,6,11,5,12,10,4,2,1]
[1,2,4,10,12,5,7,8,6,9,3,11]=>[11,3,9,6,8,7,5,12,10,4,2,1]
[2,3,6,9,12,10,5,7,8,4,11,1]=>[1,11,4,8,7,5,10,12,9,6,3,2]
[1,3,6,9,12,11,5,7,8,10,4,2]=>[2,4,10,8,7,5,11,12,9,6,3,1]
[1,2,6,10,12,11,5,7,9,8,4,3]=>[3,4,8,9,7,5,11,12,10,6,2,1]
[1,2,3,10,12,11,5,8,7,9,4,6]=>[6,4,9,7,8,5,11,12,10,3,2,1]
[1,2,3,10,12,6,7,5,8,9,4,11]=>[11,4,9,8,5,7,6,12,10,3,2,1]
[2,3,4,5,10,12,6,7,8,9,11,1]=>[1,11,9,8,7,6,12,10,5,4,3,2]
[1,3,4,5,11,12,6,7,8,10,9,2]=>[2,9,10,8,7,6,12,11,5,4,3,1]
[1,2,4,5,11,12,6,7,9,8,10,3]=>[3,10,8,9,7,6,12,11,5,4,2,1]
[1,2,3,5,11,12,6,8,7,9,10,4]=>[4,10,9,7,8,6,12,11,5,3,2,1]
[1,2,3,4,11,12,7,6,8,9,10,5]=>[5,10,9,8,6,7,12,11,4,3,2,1]
[1,2,3,4,5,6,12,7,8,9,10,11]=>[11,10,9,8,7,12,6,5,4,3,2,1]
[8,12,11,6,4,2,1,3,5,7,9,10]=>[10,9,7,5,3,1,2,4,6,11,12,8]
[12,6,10,9,4,2,1,3,5,7,8,11]=>[11,8,7,5,3,1,2,4,9,10,6,12]
[9,6,12,11,4,2,1,3,5,7,8,10]=>[10,8,7,5,3,1,2,4,11,12,6,9]
[6,4,12,11,10,2,1,3,5,7,8,9]=>[9,8,7,5,3,1,2,10,11,12,4,6]
[12,10,4,8,7,2,1,3,5,6,9,11]=>[11,9,6,5,3,1,2,7,8,4,10,12]
[4,12,11,8,7,2,1,3,5,6,9,10]=>[10,9,6,5,3,1,2,7,8,11,12,4]
[12,7,4,10,9,2,1,3,5,6,8,11]=>[11,8,6,5,3,1,2,9,10,4,7,12]
[9,7,4,12,11,2,1,3,5,6,8,10]=>[10,8,6,5,3,1,2,11,12,4,7,9]
[7,4,12,2,11,10,1,3,5,6,8,9]=>[9,8,6,5,3,1,10,11,2,12,4,7]
[12,4,2,10,9,8,1,3,5,6,7,11]=>[11,7,6,5,3,1,8,9,10,2,4,12]
[9,4,8,12,2,11,1,3,5,6,7,10]=>[10,7,6,5,3,1,11,2,12,8,4,9]
[4,8,2,12,11,10,1,3,5,6,7,9]=>[9,7,6,5,3,1,10,11,12,2,8,4]
[4,2,1,12,11,10,9,3,5,6,7,8]=>[8,7,6,5,3,9,10,11,12,1,2,4]
[12,10,8,2,6,5,1,3,4,7,9,11]=>[11,9,7,4,3,1,5,6,2,8,10,12]
[8,12,11,2,6,5,1,3,4,7,9,10]=>[10,9,7,4,3,1,5,6,2,11,12,8]
[12,2,10,9,6,5,1,3,4,7,8,11]=>[11,8,7,4,3,1,5,6,9,10,2,12]
[9,2,12,11,6,5,1,3,4,7,8,10]=>[10,8,7,4,3,1,5,6,11,12,2,9]
[2,6,12,11,10,5,1,3,4,7,8,9]=>[9,8,7,4,3,1,5,10,11,12,6,2]
[12,10,5,2,8,7,1,3,4,6,9,11]=>[11,9,6,4,3,1,7,8,2,5,10,12]
[5,12,11,2,8,7,1,3,4,6,9,10]=>[10,9,6,4,3,1,7,8,2,11,12,5]
[12,7,5,2,10,9,1,3,4,6,8,11]=>[11,8,6,4,3,1,9,10,2,5,7,12]
[9,7,5,2,12,11,1,3,4,6,8,10]=>[10,8,6,4,3,1,11,12,2,5,7,9]
[7,5,12,2,1,11,10,3,4,6,8,9]=>[9,8,6,4,3,10,11,1,2,12,5,7]
[12,5,2,10,1,9,8,3,4,6,7,11]=>[11,7,6,4,3,8,9,1,10,2,5,12]
[5,12,2,9,8,1,11,3,4,6,7,10]=>[10,7,6,4,3,11,1,8,9,2,12,5]
[5,2,12,8,1,11,10,3,4,6,7,9]=>[9,7,6,4,3,10,11,1,8,12,2,5]
[5,2,1,12,11,3,10,9,4,6,7,8]=>[8,7,6,4,9,10,3,11,12,1,2,5]
[12,10,2,1,8,7,6,3,4,5,9,11]=>[11,9,5,4,3,6,7,8,1,2,10,12]
[2,12,11,1,8,7,6,3,4,5,9,10]=>[10,9,5,4,3,6,7,8,1,11,12,2]
[12,7,2,6,10,1,9,3,4,5,8,11]=>[11,8,5,4,3,9,1,10,6,2,7,12]
[7,12,2,6,9,1,11,3,4,5,8,10]=>[10,8,5,4,3,11,1,9,6,2,12,7]
[7,2,12,6,1,11,3,10,4,5,8,9]=>[9,8,5,4,10,3,11,1,6,12,2,7]
[12,2,6,1,10,9,8,3,4,5,7,11]=>[11,7,5,4,3,8,9,10,1,6,2,12]
[9,2,6,8,12,1,11,3,4,5,7,10]=>[10,7,5,4,3,11,1,12,8,6,2,9]
[6,2,8,1,12,11,10,3,4,5,7,9]=>[9,7,5,4,3,10,11,12,1,8,2,6]
[2,6,1,12,3,11,10,9,4,5,7,8]=>[8,7,5,4,9,10,11,3,12,1,6,2]
[12,2,1,3,10,9,8,7,4,5,6,11]=>[11,6,5,4,7,8,9,10,3,1,2,12]
[9,2,1,8,12,7,3,11,4,5,6,10]=>[10,6,5,4,11,3,7,12,8,1,2,9]
[2,8,1,7,12,11,3,10,4,5,6,9]=>[9,6,5,4,10,3,11,12,7,1,8,2]
[2,1,7,3,12,11,10,9,4,5,6,8]=>[8,6,5,4,9,10,11,12,3,7,1,2]
[12,10,8,6,1,4,3,2,5,7,9,11]=>[11,9,7,5,2,3,4,1,6,8,10,12]
[8,12,11,6,1,4,3,2,5,7,9,10]=>[10,9,7,5,2,3,4,1,6,11,12,8]
[12,6,10,9,1,4,3,2,5,7,8,11]=>[11,8,7,5,2,3,4,1,9,10,6,12]
[9,6,12,11,1,4,3,2,5,7,8,10]=>[10,8,7,5,2,3,4,1,11,12,6,9]
[6,1,12,11,10,4,3,2,5,7,8,9]=>[9,8,7,5,2,3,4,10,11,12,1,6]
[12,10,1,8,7,4,3,2,5,6,9,11]=>[11,9,6,5,2,3,4,7,8,1,10,12]
[1,12,11,8,7,4,3,2,5,6,9,10]=>[10,9,6,5,2,3,4,7,8,11,12,1]
[12,7,1,10,9,4,3,2,5,6,8,11]=>[11,8,6,5,2,3,4,9,10,1,7,12]
[9,7,1,12,11,4,3,2,5,6,8,10]=>[10,8,6,5,2,3,4,11,12,1,7,9]
[7,1,12,4,11,10,3,2,5,6,8,9]=>[9,8,6,5,2,3,10,11,4,12,1,7]
[12,1,4,10,9,8,3,2,5,6,7,11]=>[11,7,6,5,2,3,8,9,10,4,1,12]
[9,1,8,12,4,11,3,2,5,6,7,10]=>[10,7,6,5,2,3,11,4,12,8,1,9]
[1,8,4,12,11,10,3,2,5,6,7,9]=>[9,7,6,5,2,3,10,11,12,4,8,1]
[1,4,3,12,11,10,9,2,5,6,7,8]=>[8,7,6,5,2,9,10,11,12,3,4,1]
[12,10,8,3,1,6,5,2,4,7,9,11]=>[11,9,7,4,2,5,6,1,3,8,10,12]
[8,12,11,3,1,6,5,2,4,7,9,10]=>[10,9,7,4,2,5,6,1,3,11,12,8]
[12,3,10,9,1,6,5,2,4,7,8,11]=>[11,8,7,4,2,5,6,1,9,10,3,12]
[9,3,12,11,1,6,5,2,4,7,8,10]=>[10,8,7,4,2,5,6,1,11,12,3,9]
[3,1,12,11,10,6,5,2,4,7,8,9]=>[9,8,7,4,2,5,6,10,11,12,1,3]
[12,10,5,3,1,8,7,2,4,6,9,11]=>[11,9,6,4,2,7,8,1,3,5,10,12]
[5,12,11,3,1,8,7,2,4,6,9,10]=>[10,9,6,4,2,7,8,1,3,11,12,5]
[12,7,5,3,1,10,9,2,4,6,8,11]=>[11,8,6,4,2,9,10,1,3,5,7,12]
[9,7,5,3,1,12,11,2,4,6,8,10]=>[10,8,6,4,2,11,12,1,3,5,7,9]
[7,5,12,3,1,2,11,10,4,6,8,9]=>[9,8,6,4,10,11,2,1,3,12,5,7]
[12,5,3,10,1,2,9,8,4,6,7,11]=>[11,7,6,4,8,9,2,1,10,3,5,12]
[5,12,3,9,1,8,2,11,4,6,7,10]=>[10,7,6,4,11,2,8,1,9,3,12,5]
[5,3,12,8,1,2,11,10,4,6,7,9]=>[9,7,6,4,10,11,2,1,8,12,3,5]
[5,3,1,12,11,2,4,10,9,6,7,8]=>[8,7,6,9,10,4,2,11,12,1,3,5]
[12,10,3,1,8,2,7,6,4,5,9,11]=>[11,9,5,4,6,7,2,8,1,3,10,12]
[3,12,11,1,8,2,7,6,4,5,9,10]=>[10,9,5,4,6,7,2,8,1,11,12,3]
[12,3,10,1,7,6,2,9,4,5,8,11]=>[11,8,5,4,9,2,6,7,1,10,3,12]
[3,12,9,1,7,6,2,11,4,5,8,10]=>[10,8,5,4,11,2,6,7,1,9,12,3]
[3,1,12,11,7,6,2,4,10,5,8,9]=>[9,8,5,10,4,2,6,7,11,12,1,3]
[12,3,1,10,6,2,9,8,4,5,7,11]=>[11,7,5,4,8,9,2,6,10,1,3,12]
[3,12,1,9,6,8,2,11,4,5,7,10]=>[10,7,5,4,11,2,8,6,9,1,12,3]
[3,6,12,1,8,2,11,10,4,5,7,9]=>[9,7,5,4,10,11,2,8,1,12,6,3]
[3,1,6,12,11,2,4,10,9,5,7,8]=>[8,7,5,9,10,4,2,11,12,6,1,3]
[12,3,1,2,10,9,4,8,7,5,6,11]=>[11,6,5,7,8,4,9,10,2,1,3,12]
[9,3,1,8,12,2,7,4,11,5,6,10]=>[10,6,5,11,4,7,2,12,8,1,3,9]
[3,1,12,2,8,11,7,4,10,5,6,9]=>[9,6,5,10,4,7,11,8,2,12,1,3]
[3,1,2,12,7,11,4,10,9,5,6,8]=>[8,6,5,9,10,4,11,7,12,2,1,3]
[3,1,2,4,12,11,10,5,9,8,6,7]=>[7,6,8,9,5,10,11,12,4,2,1,3]
[12,10,8,1,2,6,5,4,3,7,9,11]=>[11,9,7,3,4,5,6,2,1,8,10,12]
[8,12,11,1,2,6,5,4,3,7,9,10]=>[10,9,7,3,4,5,6,2,1,11,12,8]
[12,1,10,9,2,6,5,4,3,7,8,11]=>[11,8,7,3,4,5,6,2,9,10,1,12]
[9,1,12,11,2,6,5,4,3,7,8,10]=>[10,8,7,3,4,5,6,2,11,12,1,9]
[1,2,12,11,10,6,5,4,3,7,8,9]=>[9,8,7,3,4,5,6,10,11,12,2,1]
[12,10,5,1,4,8,2,7,3,6,9,11]=>[11,9,6,3,7,2,8,4,1,5,10,12]
[5,12,11,1,4,8,2,7,3,6,9,10]=>[10,9,6,3,7,2,8,4,1,11,12,5]
[12,5,10,1,4,7,2,9,3,6,8,11]=>[11,8,6,3,9,2,7,4,1,10,5,12]
[5,12,9,1,4,7,2,11,3,6,8,10]=>[10,8,6,3,11,2,7,4,1,9,12,5]
[5,1,12,11,4,7,2,3,10,6,8,9]=>[9,8,6,10,3,2,7,4,11,12,1,5]
[12,5,1,10,4,2,9,3,8,6,7,11]=>[11,7,6,8,3,9,2,4,10,1,5,12]
[5,12,1,9,4,8,2,3,11,6,7,10]=>[10,7,6,11,3,2,8,4,9,1,12,5]
[5,1,12,4,11,2,8,3,10,6,7,9]=>[9,7,6,10,3,8,2,11,4,12,1,5]
[5,1,4,12,11,2,3,10,6,9,7,8]=>[8,7,9,6,10,3,2,11,12,4,1,5]
[12,10,1,4,2,8,7,6,3,5,9,11]=>[11,9,5,3,6,7,8,2,4,1,10,12]
[1,12,11,4,2,8,7,6,3,5,9,10]=>[10,9,5,3,6,7,8,2,4,11,12,1]
[12,7,1,4,6,10,2,9,3,5,8,11]=>[11,8,5,3,9,2,10,6,4,1,7,12]
[7,12,1,4,6,9,2,11,3,5,8,10]=>[10,8,5,3,11,2,9,6,4,1,12,7]
[7,1,12,4,6,2,11,3,10,5,8,9]=>[9,8,5,10,3,11,2,6,4,12,1,7]
[12,4,1,6,2,10,9,8,3,5,7,11]=>[11,7,5,3,8,9,10,2,6,1,4,12]
[9,4,1,6,8,12,2,11,3,5,7,10]=>[10,7,5,3,11,2,12,8,6,1,4,9]
[6,4,1,8,2,12,11,10,3,5,7,9]=>[9,7,5,3,10,11,12,2,8,1,4,6]
[4,1,6,12,2,3,11,10,9,5,7,8]=>[8,7,5,9,10,11,3,2,12,6,1,4]
[12,1,4,2,10,3,9,8,7,5,6,11]=>[11,6,5,7,8,9,3,10,2,4,1,12]
[1,12,4,2,9,8,7,3,11,5,6,10]=>[10,6,5,11,3,7,8,9,2,4,12,1]
[1,4,12,2,8,7,11,3,10,5,6,9]=>[9,6,5,10,3,11,7,8,2,12,4,1]
[4,1,2,7,12,3,11,10,9,5,6,8]=>[8,6,5,9,10,11,3,12,7,2,1,4]
[1,4,2,3,12,11,5,10,9,8,6,7]=>[7,6,8,9,10,5,11,12,3,2,4,1]
[12,10,1,2,3,8,7,6,5,4,9,11]=>[11,9,4,5,6,7,8,3,2,1,10,12]
[1,12,11,2,3,8,7,6,5,4,9,10]=>[10,9,4,5,6,7,8,3,2,11,12,1]
[12,7,1,2,6,10,5,3,9,4,8,11]=>[11,8,4,9,3,5,10,6,2,1,7,12]
[7,12,1,2,6,9,5,3,11,4,8,10]=>[10,8,4,11,3,5,9,6,2,1,12,7]
[7,1,12,2,6,5,11,3,4,10,8,9]=>[9,8,10,4,3,11,5,6,2,12,1,7]
[12,1,6,2,5,10,9,3,8,4,7,11]=>[11,7,4,8,3,9,10,5,2,6,1,12]
[9,1,6,2,8,12,5,3,11,4,7,10]=>[10,7,4,11,3,5,12,8,2,6,1,9]
[6,5,1,2,8,12,11,3,10,4,7,9]=>[9,7,4,10,3,11,12,8,2,1,5,6]
[1,6,2,12,5,3,11,10,4,9,7,8]=>[8,7,9,4,10,11,3,5,12,2,6,1]
[12,1,2,5,3,10,9,8,7,4,6,11]=>[11,6,4,7,8,9,10,3,5,2,1,12]
[9,1,2,5,8,12,7,3,11,4,6,10]=>[10,6,4,11,3,7,12,8,5,2,1,9]
[5,1,2,8,7,12,11,3,10,4,6,9]=>[9,6,4,10,3,11,12,7,8,2,1,5]
[1,5,2,7,3,12,11,10,9,4,6,8]=>[8,6,4,9,10,11,12,3,7,2,5,1]
[1,2,5,3,12,4,11,10,9,8,6,7]=>[7,6,8,9,10,11,4,12,3,5,2,1]
[12,1,2,3,4,10,9,8,7,6,5,11]=>[11,5,6,7,8,9,10,4,3,2,1,12]
[9,1,2,3,8,12,7,6,4,11,5,10]=>[10,5,11,4,6,7,12,8,3,2,1,9]
[1,8,2,3,7,12,11,6,4,10,5,9]=>[9,5,10,4,6,11,12,7,3,2,8,1]
[1,2,7,3,6,12,11,10,4,9,5,8]=>[8,5,9,4,10,11,12,6,3,7,2,1]
[1,2,3,6,4,12,11,10,9,8,5,7]=>[7,5,8,9,10,11,12,4,6,3,2,1]
[10,2,1,4,3,6,5,8,7,11,12,9]=>[9,12,11,7,8,5,6,3,4,1,2,10]
[11,2,1,4,3,6,5,10,9,7,8,12]=>[12,8,7,9,10,5,6,3,4,1,2,11]
[10,2,1,4,3,6,5,11,9,7,12,8]=>[8,12,7,9,11,5,6,3,4,1,2,10]
[9,2,1,4,3,6,5,10,11,12,7,8]=>[8,7,12,11,10,5,6,3,4,1,2,9]
[11,2,1,4,3,8,7,5,6,10,9,12]=>[12,9,10,6,5,7,8,3,4,1,2,11]
[10,2,1,4,3,8,7,5,6,11,12,9]=>[9,12,11,6,5,7,8,3,4,1,2,10]
[11,2,1,4,3,10,7,5,9,6,8,12]=>[12,8,6,9,5,7,10,3,4,1,2,11]
[10,2,1,4,3,11,7,5,9,6,12,8]=>[8,12,6,9,5,7,11,3,4,1,2,10]
[9,2,1,4,3,10,7,5,11,12,6,8]=>[8,6,12,11,5,7,10,3,4,1,2,9]
[11,2,1,4,3,10,9,8,5,6,7,12]=>[12,7,6,5,8,9,10,3,4,1,2,11]
[10,2,1,4,3,11,9,8,5,6,12,7]=>[7,12,6,5,8,9,11,3,4,1,2,10]
[9,2,1,4,3,10,11,8,5,12,6,7]=>[7,6,12,5,8,11,10,3,4,1,2,9]
[8,2,1,4,3,9,10,11,12,5,6,7]=>[7,6,5,12,11,10,9,3,4,1,2,8]
[11,2,1,6,5,3,4,8,7,10,9,12]=>[12,9,10,7,8,4,3,5,6,1,2,11]
[10,2,1,6,5,3,4,8,7,11,12,9]=>[9,12,11,7,8,4,3,5,6,1,2,10]
[11,2,1,6,5,3,4,10,9,7,8,12]=>[12,8,7,9,10,4,3,5,6,1,2,11]
[10,2,1,6,5,3,4,11,9,7,12,8]=>[8,12,7,9,11,4,3,5,6,1,2,10]
[9,2,1,6,5,3,4,10,11,12,7,8]=>[8,7,12,11,10,4,3,5,6,1,2,9]
[11,2,1,8,5,3,7,4,6,10,9,12]=>[12,9,10,6,4,7,3,5,8,1,2,11]
[10,2,1,8,5,3,7,4,6,11,12,9]=>[9,12,11,6,4,7,3,5,8,1,2,10]
[11,2,1,10,5,3,7,4,9,6,8,12]=>[12,8,6,9,4,7,3,5,10,1,2,11]
[10,2,1,11,5,3,7,4,9,6,12,8]=>[8,12,6,9,4,7,3,5,11,1,2,10]
[9,2,1,10,5,3,7,4,11,12,6,8]=>[8,6,12,11,4,7,3,5,10,1,2,9]
[11,2,1,10,5,3,9,8,4,6,7,12]=>[12,7,6,4,8,9,3,5,10,1,2,11]
[10,2,1,11,5,3,9,8,4,6,12,7]=>[7,12,6,4,8,9,3,5,11,1,2,10]
[9,2,1,10,5,3,11,8,4,12,6,7]=>[7,6,12,4,8,11,3,5,10,1,2,9]
[8,2,1,9,5,3,10,11,12,4,6,7]=>[7,6,4,12,11,10,3,5,9,1,2,8]
[11,2,1,8,7,6,3,4,5,10,9,12]=>[12,9,10,5,4,3,6,7,8,1,2,11]
[10,2,1,8,7,6,3,4,5,11,12,9]=>[9,12,11,5,4,3,6,7,8,1,2,10]
[11,2,1,10,7,6,3,4,9,5,8,12]=>[12,8,5,9,4,3,6,7,10,1,2,11]
[10,2,1,11,7,6,3,4,9,5,12,8]=>[8,12,5,9,4,3,6,7,11,1,2,10]
[9,2,1,10,7,6,3,4,11,12,5,8]=>[8,5,12,11,4,3,6,7,10,1,2,9]
[11,2,1,10,9,6,3,8,4,5,7,12]=>[12,7,5,4,8,3,6,9,10,1,2,11]
[10,2,1,11,9,6,3,8,4,5,12,7]=>[7,12,5,4,8,3,6,9,11,1,2,10]
[9,2,1,10,11,6,3,8,4,12,5,7]=>[7,5,12,4,8,3,6,11,10,1,2,9]
[8,2,1,9,10,6,3,11,12,4,5,7]=>[7,5,4,12,11,3,6,10,9,1,2,8]
[11,2,1,10,9,8,7,3,4,5,6,12]=>[12,6,5,4,3,7,8,9,10,1,2,11]
[10,2,1,11,9,8,7,3,4,5,12,6]=>[6,12,5,4,3,7,8,9,11,1,2,10]
[9,2,1,10,11,8,7,3,4,12,5,6]=>[6,5,12,4,3,7,8,11,10,1,2,9]
[8,2,1,9,10,11,7,3,12,4,5,6]=>[6,5,4,12,3,7,11,10,9,1,2,8]
[7,2,1,8,9,10,11,12,3,4,5,6]=>[6,5,4,3,12,11,10,9,8,1,2,7]
[11,4,3,1,2,6,5,8,7,10,9,12]=>[12,9,10,7,8,5,6,2,1,3,4,11]
[10,4,3,1,2,6,5,8,7,11,12,9]=>[9,12,11,7,8,5,6,2,1,3,4,10]
[11,4,3,1,2,6,5,10,9,7,8,12]=>[12,8,7,9,10,5,6,2,1,3,4,11]
[10,4,3,1,2,6,5,11,9,7,12,8]=>[8,12,7,9,11,5,6,2,1,3,4,10]
[9,4,3,1,2,6,5,10,11,12,7,8]=>[8,7,12,11,10,5,6,2,1,3,4,9]
[11,4,3,1,2,8,7,5,6,10,9,12]=>[12,9,10,6,5,7,8,2,1,3,4,11]
[10,4,3,1,2,8,7,5,6,11,12,9]=>[9,12,11,6,5,7,8,2,1,3,4,10]
[11,4,3,1,2,10,7,5,9,6,8,12]=>[12,8,6,9,5,7,10,2,1,3,4,11]
[10,4,3,1,2,11,7,5,9,6,12,8]=>[8,12,6,9,5,7,11,2,1,3,4,10]
[9,4,3,1,2,10,7,5,11,12,6,8]=>[8,6,12,11,5,7,10,2,1,3,4,9]
[11,4,3,1,2,10,9,8,5,6,7,12]=>[12,7,6,5,8,9,10,2,1,3,4,11]
[10,4,3,1,2,11,9,8,5,6,12,7]=>[7,12,6,5,8,9,11,2,1,3,4,10]
[9,4,3,1,2,10,11,8,5,12,6,7]=>[7,6,12,5,8,11,10,2,1,3,4,9]
[8,4,3,1,2,9,10,11,12,5,6,7]=>[7,6,5,12,11,10,9,2,1,3,4,8]
[11,6,3,1,5,2,4,8,7,10,9,12]=>[12,9,10,7,8,4,2,5,1,3,6,11]
[10,6,3,1,5,2,4,8,7,11,12,9]=>[9,12,11,7,8,4,2,5,1,3,6,10]
[11,6,3,1,5,2,4,10,9,7,8,12]=>[12,8,7,9,10,4,2,5,1,3,6,11]
[10,6,3,1,5,2,4,11,9,7,12,8]=>[8,12,7,9,11,4,2,5,1,3,6,10]
[9,6,3,1,5,2,4,10,11,12,7,8]=>[8,7,12,11,10,4,2,5,1,3,6,9]
[11,8,3,1,5,2,7,4,6,10,9,12]=>[12,9,10,6,4,7,2,5,1,3,8,11]
[10,8,3,1,5,2,7,4,6,11,12,9]=>[9,12,11,6,4,7,2,5,1,3,8,10]
[11,10,3,1,5,2,7,4,9,6,8,12]=>[12,8,6,9,4,7,2,5,1,3,10,11]
[10,11,3,1,5,2,7,4,9,6,12,8]=>[8,12,6,9,4,7,2,5,1,3,11,10]
[9,10,3,1,5,2,7,4,11,12,6,8]=>[8,6,12,11,4,7,2,5,1,3,10,9]
[11,10,3,1,5,2,9,8,4,6,7,12]=>[12,7,6,4,8,9,2,5,1,3,10,11]
[10,11,3,1,5,2,9,8,4,6,12,7]=>[7,12,6,4,8,9,2,5,1,3,11,10]
[9,10,3,1,5,2,11,8,4,12,6,7]=>[7,6,12,4,8,11,2,5,1,3,10,9]
[8,9,3,1,5,2,10,11,12,4,6,7]=>[7,6,4,12,11,10,2,5,1,3,9,8]
[11,8,3,1,7,6,2,4,5,10,9,12]=>[12,9,10,5,4,2,6,7,1,3,8,11]
[10,8,3,1,7,6,2,4,5,11,12,9]=>[9,12,11,5,4,2,6,7,1,3,8,10]
[11,10,3,1,7,6,2,4,9,5,8,12]=>[12,8,5,9,4,2,6,7,1,3,10,11]
[10,11,3,1,7,6,2,4,9,5,12,8]=>[8,12,5,9,4,2,6,7,1,3,11,10]
[9,10,3,1,7,6,2,4,11,12,5,8]=>[8,5,12,11,4,2,6,7,1,3,10,9]
[11,10,3,1,9,6,2,8,4,5,7,12]=>[12,7,5,4,8,2,6,9,1,3,10,11]
[10,11,3,1,9,6,2,8,4,5,12,7]=>[7,12,5,4,8,2,6,9,1,3,11,10]
[9,10,3,1,11,6,2,8,4,12,5,7]=>[7,5,12,4,8,2,6,11,1,3,10,9]
[8,9,3,1,10,6,2,11,12,4,5,7]=>[7,5,4,12,11,2,6,10,1,3,9,8]
[11,10,3,1,9,8,7,2,4,5,6,12]=>[12,6,5,4,2,7,8,9,1,3,10,11]
[10,11,3,1,9,8,7,2,4,5,12,6]=>[6,12,5,4,2,7,8,9,1,3,11,10]
[9,10,3,1,11,8,7,2,4,12,5,6]=>[6,5,12,4,2,7,8,11,1,3,10,9]
[8,9,3,1,10,11,7,2,12,4,5,6]=>[6,5,4,12,2,7,11,10,1,3,9,8]
[7,8,3,1,9,10,11,12,2,4,5,6]=>[6,5,4,2,12,11,10,9,1,3,8,7]
[11,6,5,4,1,2,3,8,7,10,9,12]=>[12,9,10,7,8,3,2,1,4,5,6,11]
[10,6,5,4,1,2,3,8,7,11,12,9]=>[9,12,11,7,8,3,2,1,4,5,6,10]
[11,6,5,4,1,2,3,10,9,7,8,12]=>[12,8,7,9,10,3,2,1,4,5,6,11]
[10,6,5,4,1,2,3,11,9,7,12,8]=>[8,12,7,9,11,3,2,1,4,5,6,10]
[9,6,5,4,1,2,3,10,11,12,7,8]=>[8,7,12,11,10,3,2,1,4,5,6,9]
[11,8,5,4,1,2,7,3,6,10,9,12]=>[12,9,10,6,3,7,2,1,4,5,8,11]
[10,8,5,4,1,2,7,3,6,11,12,9]=>[9,12,11,6,3,7,2,1,4,5,8,10]
[11,10,5,4,1,2,7,3,9,6,8,12]=>[12,8,6,9,3,7,2,1,4,5,10,11]
[10,11,5,4,1,2,7,3,9,6,12,8]=>[8,12,6,9,3,7,2,1,4,5,11,10]
[9,10,5,4,1,2,7,3,11,12,6,8]=>[8,6,12,11,3,7,2,1,4,5,10,9]
[11,10,5,4,1,2,9,8,3,6,7,12]=>[12,7,6,3,8,9,2,1,4,5,10,11]
[10,11,5,4,1,2,9,8,3,6,12,7]=>[7,12,6,3,8,9,2,1,4,5,11,10]
[9,10,5,4,1,2,11,8,3,12,6,7]=>[7,6,12,3,8,11,2,1,4,5,10,9]
[8,9,5,4,1,2,10,11,12,3,6,7]=>[7,6,3,12,11,10,2,1,4,5,9,8]
[11,8,7,4,1,6,2,3,5,10,9,12]=>[12,9,10,5,3,2,6,1,4,7,8,11]
[10,8,7,4,1,6,2,3,5,11,12,9]=>[9,12,11,5,3,2,6,1,4,7,8,10]
[11,10,7,4,1,6,2,3,9,5,8,12]=>[12,8,5,9,3,2,6,1,4,7,10,11]
[10,11,7,4,1,6,2,3,9,5,12,8]=>[8,12,5,9,3,2,6,1,4,7,11,10]
[9,10,7,4,1,6,2,3,11,12,5,8]=>[8,5,12,11,3,2,6,1,4,7,10,9]
[11,10,9,4,1,6,2,8,3,5,7,12]=>[12,7,5,3,8,2,6,1,4,9,10,11]
[10,11,9,4,1,6,2,8,3,5,12,7]=>[7,12,5,3,8,2,6,1,4,9,11,10]
[9,10,11,4,1,6,2,8,3,12,5,7]=>[7,5,12,3,8,2,6,1,4,11,10,9]
[8,9,10,4,1,6,2,11,12,3,5,7]=>[7,5,3,12,11,2,6,1,4,10,9,8]
[11,10,9,4,1,8,7,2,3,5,6,12]=>[12,6,5,3,2,7,8,1,4,9,10,11]
[10,11,9,4,1,8,7,2,3,5,12,6]=>[6,12,5,3,2,7,8,1,4,9,11,10]
[9,10,11,4,1,8,7,2,3,12,5,6]=>[6,5,12,3,2,7,8,1,4,11,10,9]
[8,9,10,4,1,11,7,2,12,3,5,6]=>[6,5,3,12,2,7,11,1,4,10,9,8]
[7,8,9,4,1,10,11,12,2,3,5,6]=>[6,5,3,2,12,11,10,1,4,9,8,7]
[11,8,7,6,5,1,2,3,4,10,9,12]=>[12,9,10,4,3,2,1,5,6,7,8,11]
[10,8,7,6,5,1,2,3,4,11,12,9]=>[9,12,11,4,3,2,1,5,6,7,8,10]
[11,10,7,6,5,1,2,3,9,4,8,12]=>[12,8,4,9,3,2,1,5,6,7,10,11]
[10,11,7,6,5,1,2,3,9,4,12,8]=>[8,12,4,9,3,2,1,5,6,7,11,10]
[9,10,7,6,5,1,2,3,11,12,4,8]=>[8,4,12,11,3,2,1,5,6,7,10,9]
[11,10,9,6,5,1,2,8,3,4,7,12]=>[12,7,4,3,8,2,1,5,6,9,10,11]
[10,11,9,6,5,1,2,8,3,4,12,7]=>[7,12,4,3,8,2,1,5,6,9,11,10]
[9,10,11,6,5,1,2,8,3,12,4,7]=>[7,4,12,3,8,2,1,5,6,11,10,9]
[8,9,10,6,5,1,2,11,12,3,4,7]=>[7,4,3,12,11,2,1,5,6,10,9,8]
[11,10,9,8,5,1,7,2,3,4,6,12]=>[12,6,4,3,2,7,1,5,8,9,10,11]
[10,11,9,8,5,1,7,2,3,4,12,6]=>[6,12,4,3,2,7,1,5,8,9,11,10]
[9,10,11,8,5,1,7,2,3,12,4,6]=>[6,4,12,3,2,7,1,5,8,11,10,9]
[8,9,10,11,5,1,7,2,12,3,4,6]=>[6,4,3,12,2,7,1,5,11,10,9,8]
[7,8,9,10,5,1,11,12,2,3,4,6]=>[6,4,3,2,12,11,1,5,10,9,8,7]
[11,10,9,8,7,6,1,2,3,4,5,12]=>[12,5,4,3,2,1,6,7,8,9,10,11]
[10,11,9,8,7,6,1,2,3,4,12,5]=>[5,12,4,3,2,1,6,7,8,9,11,10]
[9,10,11,8,7,6,1,2,3,12,4,5]=>[5,4,12,3,2,1,6,7,8,11,10,9]
[8,9,10,11,7,6,1,2,12,3,4,5]=>[5,4,3,12,2,1,6,7,11,10,9,8]
[7,8,9,10,11,6,1,12,2,3,4,5]=>[5,4,3,2,12,1,6,11,10,9,8,7]
[1,7,8,2,3,9,10,4,5,11,12,6]=>[6,12,11,5,4,10,9,3,2,8,7,1]
[1,7,8,9,2,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,2,9,8,7,1]
[1,7,8,9,2,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,2,9,8,7,1]
[1,7,8,9,10,2,3,11,4,5,12,6]=>[6,12,5,4,11,3,2,10,9,8,7,1]
[7,1,8,2,3,9,10,4,5,11,12,6]=>[6,12,11,5,4,10,9,3,2,8,1,7]
[7,1,8,2,3,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,3,2,8,1,7]
[7,1,8,9,2,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,2,9,8,1,7]
[7,8,1,9,2,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,2,9,1,8,7]
[1,2,7,8,9,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,9,8,7,2,1]
[1,2,7,8,9,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,9,8,7,2,1]
[7,1,2,8,3,9,10,4,5,11,12,6]=>[6,12,11,5,4,10,9,3,8,2,1,7]
[7,1,2,8,3,9,10,11,4,5,12,6]=>[6,12,5,4,11,10,9,3,8,2,1,7]
[7,1,2,8,9,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,9,8,2,1,7]
[7,1,2,8,9,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,9,8,2,1,7]
[7,1,2,8,9,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,9,8,2,1,7]
[7,8,1,2,9,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,9,2,1,8,7]
[1,7,2,8,3,9,10,4,5,11,12,6]=>[6,12,11,5,4,10,9,3,8,2,7,1]
[1,7,2,8,9,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,9,8,2,7,1]
[1,7,2,8,9,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,9,8,2,7,1]
[1,7,8,2,9,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,9,2,8,7,1]
[1,7,8,2,9,3,10,11,4,5,12,6]=>[6,12,5,4,11,10,3,9,2,8,7,1]
[1,7,8,9,2,10,3,11,4,5,12,6]=>[6,12,5,4,11,3,10,2,9,8,7,1]
[7,1,8,2,9,3,10,4,5,11,12,6]=>[6,12,11,5,4,10,3,9,2,8,1,7]
[1,7,8,2,3,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,3,2,8,7,1]
[1,7,8,2,3,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,3,2,8,7,1]
[1,7,8,9,2,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,2,9,8,7,1]
[1,7,8,9,2,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,2,9,8,7,1]
[1,7,8,9,10,2,3,4,11,5,12,6]=>[6,12,5,11,4,3,2,10,9,8,7,1]
[7,1,8,2,3,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,3,2,8,1,7]
[7,1,8,2,3,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,3,2,8,1,7]
[7,1,8,9,2,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,2,9,8,1,7]
[7,1,8,9,2,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,2,9,8,1,7]
[7,8,1,9,2,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,2,9,1,8,7]
[7,8,1,9,2,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,2,9,1,8,7]
[1,2,7,8,3,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,3,8,7,2,1]
[1,2,7,8,3,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,3,8,7,2,1]
[1,2,7,8,9,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,9,8,7,2,1]
[1,2,7,8,9,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,9,8,7,2,1]
[7,1,2,8,3,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,3,8,2,1,7]
[7,1,2,8,3,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,3,8,2,1,7]
[7,1,2,8,9,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,9,8,2,1,7]
[7,1,2,8,9,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,9,8,2,1,7]
[7,1,2,8,9,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,9,8,2,1,7]
[7,8,1,2,9,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,9,2,1,8,7]
[7,8,1,2,9,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,9,2,1,8,7]
[1,7,2,8,3,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,3,8,2,7,1]
[1,7,2,8,3,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,3,8,2,7,1]
[1,7,2,8,9,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,9,8,2,7,1]
[1,7,2,8,9,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,9,8,2,7,1]
[1,7,8,2,9,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,9,2,8,7,1]
[1,7,8,2,9,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,9,2,8,7,1]
[1,7,8,2,9,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,9,2,8,7,1]
[1,7,8,9,2,10,3,4,11,5,12,6]=>[6,12,5,11,4,3,10,2,9,8,7,1]
[7,1,8,2,9,3,4,10,5,11,12,6]=>[6,12,11,5,10,4,3,9,2,8,1,7]
[7,1,8,2,9,3,4,10,11,5,12,6]=>[6,12,5,11,10,4,3,9,2,8,1,7]
[1,7,2,3,8,4,9,10,5,11,12,6]=>[6,12,11,5,10,9,4,8,3,2,7,1]
[1,7,2,3,8,4,9,10,11,5,12,6]=>[6,12,5,11,10,9,4,8,3,2,7,1]
[1,7,2,3,8,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,8,3,2,7,1]
[1,7,8,2,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,2,8,7,1]
[1,7,8,2,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,2,8,7,1]
[1,7,8,2,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,2,8,7,1]
[1,7,8,9,2,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,2,9,8,7,1]
[7,1,8,2,3,9,4,10,5,11,12,6]=>[6,12,11,5,10,4,9,3,2,8,1,7]
[7,1,8,2,3,9,4,10,11,5,12,6]=>[6,12,5,11,10,4,9,3,2,8,1,7]
[7,1,8,2,3,9,10,4,11,5,12,6]=>[6,12,5,11,4,10,9,3,2,8,1,7]
[12,2,10,4,8,6,7,5,9,3,11,1]=>[1,11,3,9,5,7,6,8,4,10,2,12]
[12,2,11,4,8,6,7,5,9,10,3,1]=>[1,3,10,9,5,7,6,8,4,11,2,12]
[12,2,10,4,9,6,7,8,5,3,11,1]=>[1,11,3,5,8,7,6,9,4,10,2,12]
[12,2,11,4,9,6,7,8,5,10,3,1]=>[1,3,10,5,8,7,6,9,4,11,2,12]
[12,2,11,4,10,6,7,8,9,5,3,1]=>[1,3,5,9,8,7,6,10,4,11,2,12]
[12,2,10,4,8,7,6,5,9,3,11,1]=>[1,11,3,9,5,6,7,8,4,10,2,12]
[12,2,11,4,8,7,6,5,9,10,3,1]=>[1,3,10,9,5,6,7,8,4,11,2,12]
[12,2,10,4,9,7,6,8,5,3,11,1]=>[1,11,3,5,8,6,7,9,4,10,2,12]
[12,2,11,4,9,7,6,8,5,10,3,1]=>[1,3,10,5,8,6,7,9,4,11,2,12]
[12,2,11,4,10,7,6,8,9,5,3,1]=>[1,3,5,9,8,6,7,10,4,11,2,12]
[12,2,10,4,9,8,7,6,5,3,11,1]=>[1,11,3,5,6,7,8,9,4,10,2,12]
[12,2,11,4,9,8,7,6,5,10,3,1]=>[1,3,10,5,6,7,8,9,4,11,2,12]
[12,2,11,4,10,8,7,6,9,5,3,1]=>[1,3,5,9,6,7,8,10,4,11,2,12]
[12,2,11,4,10,9,7,8,6,5,3,1]=>[1,3,5,6,8,7,9,10,4,11,2,12]
[12,2,10,8,5,6,7,4,9,3,11,1]=>[1,11,3,9,4,7,6,5,8,10,2,12]
[12,2,11,8,5,6,7,4,9,10,3,1]=>[1,3,10,9,4,7,6,5,8,11,2,12]
[12,2,10,9,5,6,7,8,4,3,11,1]=>[1,11,3,4,8,7,6,5,9,10,2,12]
[12,2,11,9,5,6,7,8,4,10,3,1]=>[1,3,10,4,8,7,6,5,9,11,2,12]
[12,2,11,10,5,6,7,8,9,4,3,1]=>[1,3,4,9,8,7,6,5,10,11,2,12]
[12,2,10,8,5,7,6,4,9,3,11,1]=>[1,11,3,9,4,6,7,5,8,10,2,12]
[12,2,11,8,5,7,6,4,9,10,3,1]=>[1,3,10,9,4,6,7,5,8,11,2,12]
[12,2,10,9,5,7,6,8,4,3,11,1]=>[1,11,3,4,8,6,7,5,9,10,2,12]
[12,2,11,9,5,7,6,8,4,10,3,1]=>[1,3,10,4,8,6,7,5,9,11,2,12]
[12,2,11,10,5,7,6,8,9,4,3,1]=>[1,3,4,9,8,6,7,5,10,11,2,12]
[12,2,10,9,5,8,7,6,4,3,11,1]=>[1,11,3,4,6,7,8,5,9,10,2,12]
[12,2,11,9,5,8,7,6,4,10,3,1]=>[1,3,10,4,6,7,8,5,9,11,2,12]
[12,2,11,10,5,8,7,6,9,4,3,1]=>[1,3,4,9,6,7,8,5,10,11,2,12]
[12,2,11,10,5,9,7,8,6,4,3,1]=>[1,3,4,6,8,7,9,5,10,11,2,12]
[12,2,10,8,7,6,5,4,9,3,11,1]=>[1,11,3,9,4,5,6,7,8,10,2,12]
[12,2,11,8,7,6,5,4,9,10,3,1]=>[1,3,10,9,4,5,6,7,8,11,2,12]
[12,2,10,9,7,6,5,8,4,3,11,1]=>[1,11,3,4,8,5,6,7,9,10,2,12]
[12,2,11,9,7,6,5,8,4,10,3,1]=>[1,3,10,4,8,5,6,7,9,11,2,12]
[12,2,11,10,7,6,5,8,9,4,3,1]=>[1,3,4,9,8,5,6,7,10,11,2,12]
[12,2,10,9,8,6,7,5,4,3,11,1]=>[1,11,3,4,5,7,6,8,9,10,2,12]
[12,2,11,9,8,6,7,5,4,10,3,1]=>[1,3,10,4,5,7,6,8,9,11,2,12]
[12,2,11,10,8,6,7,5,9,4,3,1]=>[1,3,4,9,5,7,6,8,10,11,2,12]
[12,2,11,10,9,6,7,8,5,4,3,1]=>[1,3,4,5,8,7,6,9,10,11,2,12]
[12,2,10,9,8,7,6,5,4,3,11,1]=>[1,11,3,4,5,6,7,8,9,10,2,12]
[12,2,11,9,8,7,6,5,4,10,3,1]=>[1,3,10,4,5,6,7,8,9,11,2,12]
[12,2,11,10,8,7,6,5,9,4,3,1]=>[1,3,4,9,5,6,7,8,10,11,2,12]
[12,2,11,10,9,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,9,10,11,2,12]
[12,10,3,4,8,6,7,5,9,2,11,1]=>[1,11,2,9,5,7,6,8,4,3,10,12]
[12,11,3,4,8,6,7,5,9,10,2,1]=>[1,2,10,9,5,7,6,8,4,3,11,12]
[12,10,3,4,9,6,7,8,5,2,11,1]=>[1,11,2,5,8,7,6,9,4,3,10,12]
[12,11,3,4,9,6,7,8,5,10,2,1]=>[1,2,10,5,8,7,6,9,4,3,11,12]
[12,11,3,4,10,6,7,8,9,5,2,1]=>[1,2,5,9,8,7,6,10,4,3,11,12]
[12,10,3,4,8,7,6,5,9,2,11,1]=>[1,11,2,9,5,6,7,8,4,3,10,12]
[12,11,3,4,8,7,6,5,9,10,2,1]=>[1,2,10,9,5,6,7,8,4,3,11,12]
[12,10,3,4,9,7,6,8,5,2,11,1]=>[1,11,2,5,8,6,7,9,4,3,10,12]
[12,11,3,4,9,7,6,8,5,10,2,1]=>[1,2,10,5,8,6,7,9,4,3,11,12]
[12,11,3,4,10,7,6,8,9,5,2,1]=>[1,2,5,9,8,6,7,10,4,3,11,12]
[12,10,3,4,9,8,7,6,5,2,11,1]=>[1,11,2,5,6,7,8,9,4,3,10,12]
[12,11,3,4,9,8,7,6,5,10,2,1]=>[1,2,10,5,6,7,8,9,4,3,11,12]
[12,11,3,4,10,8,7,6,9,5,2,1]=>[1,2,5,9,6,7,8,10,4,3,11,12]
[12,10,3,8,5,6,7,4,9,2,11,1]=>[1,11,2,9,4,7,6,5,8,3,10,12]
[12,11,3,8,5,6,7,4,9,10,2,1]=>[1,2,10,9,4,7,6,5,8,3,11,12]
[12,10,3,9,5,6,7,8,4,2,11,1]=>[1,11,2,4,8,7,6,5,9,3,10,12]
[12,11,3,9,5,6,7,8,4,10,2,1]=>[1,2,10,4,8,7,6,5,9,3,11,12]
[12,11,3,10,5,6,7,8,9,4,2,1]=>[1,2,4,9,8,7,6,5,10,3,11,12]
[12,10,3,8,5,7,6,4,9,2,11,1]=>[1,11,2,9,4,6,7,5,8,3,10,12]
[12,11,3,8,5,7,6,4,9,10,2,1]=>[1,2,10,9,4,6,7,5,8,3,11,12]
[12,10,3,9,5,7,6,8,4,2,11,1]=>[1,11,2,4,8,6,7,5,9,3,10,12]
[12,11,3,9,5,7,6,8,4,10,2,1]=>[1,2,10,4,8,6,7,5,9,3,11,12]
[12,11,3,10,5,7,6,8,9,4,2,1]=>[1,2,4,9,8,6,7,5,10,3,11,12]
[12,10,3,9,5,8,7,6,4,2,11,1]=>[1,11,2,4,6,7,8,5,9,3,10,12]
[12,11,3,9,5,8,7,6,4,10,2,1]=>[1,2,10,4,6,7,8,5,9,3,11,12]
[12,11,3,10,5,8,7,6,9,4,2,1]=>[1,2,4,9,6,7,8,5,10,3,11,12]
[12,11,3,10,5,9,7,8,6,4,2,1]=>[1,2,4,6,8,7,9,5,10,3,11,12]
[12,10,3,8,7,6,5,4,9,2,11,1]=>[1,11,2,9,4,5,6,7,8,3,10,12]
[12,11,3,8,7,6,5,4,9,10,2,1]=>[1,2,10,9,4,5,6,7,8,3,11,12]
[12,10,3,9,7,6,5,8,4,2,11,1]=>[1,11,2,4,8,5,6,7,9,3,10,12]
[12,11,3,9,7,6,5,8,4,10,2,1]=>[1,2,10,4,8,5,6,7,9,3,11,12]
[12,11,3,10,7,6,5,8,9,4,2,1]=>[1,2,4,9,8,5,6,7,10,3,11,12]
[12,10,3,9,8,6,7,5,4,2,11,1]=>[1,11,2,4,5,7,6,8,9,3,10,12]
[12,11,3,10,8,6,7,5,9,4,2,1]=>[1,2,4,9,5,7,6,8,10,3,11,12]
[12,10,3,9,8,7,6,5,4,2,11,1]=>[1,11,2,4,5,6,7,8,9,3,10,12]
[12,11,3,10,8,7,6,5,9,4,2,1]=>[1,2,4,9,5,6,7,8,10,3,11,12]
[12,10,8,4,5,6,7,3,9,2,11,1]=>[1,11,2,9,3,7,6,5,4,8,10,12]
[12,11,8,4,5,6,7,3,9,10,2,1]=>[1,2,10,9,3,7,6,5,4,8,11,12]
[12,10,9,4,5,6,7,8,3,2,11,1]=>[1,11,2,3,8,7,6,5,4,9,10,12]
[12,11,9,4,5,6,7,8,3,10,2,1]=>[1,2,10,3,8,7,6,5,4,9,11,12]
[12,11,10,4,5,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,5,4,10,11,12]
[12,10,8,4,5,7,6,3,9,2,11,1]=>[1,11,2,9,3,6,7,5,4,8,10,12]
[12,11,8,4,5,7,6,3,9,10,2,1]=>[1,2,10,9,3,6,7,5,4,8,11,12]
[12,10,9,4,5,7,6,8,3,2,11,1]=>[1,11,2,3,8,6,7,5,4,9,10,12]
[12,11,9,4,5,7,6,8,3,10,2,1]=>[1,2,10,3,8,6,7,5,4,9,11,12]
[12,11,10,4,5,7,6,8,9,3,2,1]=>[1,2,3,9,8,6,7,5,4,10,11,12]
[12,10,9,4,5,8,7,6,3,2,11,1]=>[1,11,2,3,6,7,8,5,4,9,10,12]
[12,11,9,4,5,8,7,6,3,10,2,1]=>[1,2,10,3,6,7,8,5,4,9,11,12]
[12,11,10,4,5,8,7,6,9,3,2,1]=>[1,2,3,9,6,7,8,5,4,10,11,12]
[12,11,10,4,5,9,7,8,6,3,2,1]=>[1,2,3,6,8,7,9,5,4,10,11,12]
[12,10,8,4,7,6,5,3,9,2,11,1]=>[1,11,2,9,3,5,6,7,4,8,10,12]
[12,11,8,4,7,6,5,3,9,10,2,1]=>[1,2,10,9,3,5,6,7,4,8,11,12]
[12,10,9,4,7,6,5,8,3,2,11,1]=>[1,11,2,3,8,5,6,7,4,9,10,12]
[12,11,9,4,7,6,5,8,3,10,2,1]=>[1,2,10,3,8,5,6,7,4,9,11,12]
[12,11,10,4,7,6,5,8,9,3,2,1]=>[1,2,3,9,8,5,6,7,4,10,11,12]
[12,10,9,4,8,6,7,5,3,2,11,1]=>[1,11,2,3,5,7,6,8,4,9,10,12]
[12,11,9,4,8,6,7,5,3,10,2,1]=>[1,2,10,3,5,7,6,8,4,9,11,12]
[12,11,10,4,8,6,7,5,9,3,2,1]=>[1,2,3,9,5,7,6,8,4,10,11,12]
[12,11,10,4,9,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,9,4,10,11,12]
[12,10,9,4,8,7,6,5,3,2,11,1]=>[1,11,2,3,5,6,7,8,4,9,10,12]
[12,11,9,4,8,7,6,5,3,10,2,1]=>[1,2,10,3,5,6,7,8,4,9,11,12]
[12,11,10,4,8,7,6,5,9,3,2,1]=>[1,2,3,9,5,6,7,8,4,10,11,12]
[12,11,10,4,9,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,9,4,10,11,12]
[12,11,10,4,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,4,10,11,12]
[12,10,8,7,5,6,4,3,9,2,11,1]=>[1,11,2,9,3,4,6,5,7,8,10,12]
[12,10,9,7,5,6,4,8,3,2,11,1]=>[1,11,2,3,8,4,6,5,7,9,10,12]
[12,11,9,7,5,6,4,8,3,10,2,1]=>[1,2,10,3,8,4,6,5,7,9,11,12]
[12,11,10,7,5,6,4,8,9,3,2,1]=>[1,2,3,9,8,4,6,5,7,10,11,12]
[12,10,9,8,5,6,7,4,3,2,11,1]=>[1,11,2,3,4,7,6,5,8,9,10,12]
[12,11,10,8,5,6,7,4,9,3,2,1]=>[1,2,3,9,4,7,6,5,8,10,11,12]
[12,10,9,8,5,7,6,4,3,2,11,1]=>[1,11,2,3,4,6,7,5,8,9,10,12]
[12,11,10,8,5,7,6,4,9,3,2,1]=>[1,2,3,9,4,6,7,5,8,10,11,12]
[12,11,10,9,5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5,9,10,11,12]
[12,11,10,8,7,6,5,4,9,3,2,1]=>[1,2,3,9,4,5,6,7,8,10,11,12]
[7,8,9,10,6,12,1,2,3,4,11,5]=>[5,11,4,3,2,1,12,6,10,9,8,7]
[7,8,9,5,11,12,1,2,3,10,4,6]=>[6,4,10,3,2,1,12,11,5,9,8,7]
[7,8,9,11,6,12,1,2,3,10,4,5]=>[5,4,10,3,2,1,12,6,11,9,8,7]
[7,8,9,5,6,12,1,2,3,10,11,4]=>[4,11,10,3,2,1,12,6,5,9,8,7]
[7,8,4,10,11,12,1,2,9,3,5,6]=>[6,5,3,9,2,1,12,11,10,4,8,7]
[7,8,4,10,6,12,1,2,9,3,11,5]=>[5,11,3,9,2,1,12,6,10,4,8,7]
[7,8,10,5,11,12,1,2,9,3,4,6]=>[6,4,3,9,2,1,12,11,5,10,8,7]
[7,8,10,11,6,12,1,2,9,3,4,5]=>[5,4,3,9,2,1,12,6,11,10,8,7]
[7,8,10,5,6,12,1,2,9,3,11,4]=>[4,11,3,9,2,1,12,6,5,10,8,7]
[7,8,4,5,11,12,1,2,9,10,3,6]=>[6,3,10,9,2,1,12,11,5,4,8,7]
[7,8,4,11,6,12,1,2,9,10,3,5]=>[5,3,10,9,2,1,12,6,11,4,8,7]
[7,8,11,5,6,12,1,2,9,10,3,4]=>[4,3,10,9,2,1,12,6,5,11,8,7]
[7,8,4,5,6,12,1,2,9,10,11,3]=>[3,11,10,9,2,1,12,6,5,4,8,7]
[7,3,9,10,11,12,1,8,2,4,5,6]=>[6,5,4,2,8,1,12,11,10,9,3,7]
[7,3,9,10,6,12,1,8,2,4,11,5]=>[5,11,4,2,8,1,12,6,10,9,3,7]
[7,3,9,5,11,12,1,8,2,10,4,6]=>[6,4,10,2,8,1,12,11,5,9,3,7]
[7,3,9,11,6,12,1,8,2,10,4,5]=>[5,4,10,2,8,1,12,6,11,9,3,7]
[7,3,9,5,6,12,1,8,2,10,11,4]=>[4,11,10,2,8,1,12,6,5,9,3,7]
[7,9,4,10,11,12,1,8,2,3,5,6]=>[6,5,3,2,8,1,12,11,10,4,9,7]
[7,9,4,10,6,12,1,8,2,3,11,5]=>[5,11,3,2,8,1,12,6,10,4,9,7]
[7,9,10,5,11,12,1,8,2,3,4,6]=>[6,4,3,2,8,1,12,11,5,10,9,7]
[7,9,10,11,6,12,1,8,2,3,4,5]=>[5,4,3,2,8,1,12,6,11,10,9,7]
[7,9,10,5,6,12,1,8,2,3,11,4]=>[4,11,3,2,8,1,12,6,5,10,9,7]
[7,9,4,5,11,12,1,8,2,10,3,6]=>[6,3,10,2,8,1,12,11,5,4,9,7]
[7,9,4,11,6,12,1,8,2,10,3,5]=>[5,3,10,2,8,1,12,6,11,4,9,7]
[7,9,11,5,6,12,1,8,2,10,3,4]=>[4,3,10,2,8,1,12,6,5,11,9,7]
[7,9,4,5,6,12,1,8,2,10,11,3]=>[3,11,10,2,8,1,12,6,5,4,9,7]
[7,3,4,10,11,12,1,8,9,2,5,6]=>[6,5,2,9,8,1,12,11,10,4,3,7]
[7,3,4,10,6,12,1,8,9,2,11,5]=>[5,11,2,9,8,1,12,6,10,4,3,7]
[7,3,10,5,11,12,1,8,9,2,4,6]=>[6,4,2,9,8,1,12,11,5,10,3,7]
[7,3,10,11,6,12,1,8,9,2,4,5]=>[5,4,2,9,8,1,12,6,11,10,3,7]
[7,3,10,5,6,12,1,8,9,2,11,4]=>[4,11,2,9,8,1,12,6,5,10,3,7]
[7,10,4,5,11,12,1,8,9,2,3,6]=>[6,3,2,9,8,1,12,11,5,4,10,7]
[7,10,4,11,6,12,1,8,9,2,3,5]=>[5,3,2,9,8,1,12,6,11,4,10,7]
[7,10,11,5,6,12,1,8,9,2,3,4]=>[4,3,2,9,8,1,12,6,5,11,10,7]
[7,10,4,5,6,12,1,8,9,2,11,3]=>[3,11,2,9,8,1,12,6,5,4,10,7]
[7,3,4,5,11,12,1,8,9,10,2,6]=>[6,2,10,9,8,1,12,11,5,4,3,7]
[7,3,4,11,6,12,1,8,9,10,2,5]=>[5,2,10,9,8,1,12,6,11,4,3,7]
[7,3,11,5,6,12,1,8,9,10,2,4]=>[4,2,10,9,8,1,12,6,5,11,3,7]
[7,11,4,5,6,12,1,8,9,10,2,3]=>[3,2,10,9,8,1,12,6,5,4,11,7]
[7,3,4,5,6,12,1,8,9,10,11,2]=>[2,11,10,9,8,1,12,6,5,4,3,7]
[2,8,9,10,11,12,7,1,3,4,5,6]=>[6,5,4,3,1,7,12,11,10,9,8,2]
[2,8,9,10,6,12,7,1,3,4,11,5]=>[5,11,4,3,1,7,12,6,10,9,8,2]
[2,8,9,5,11,12,7,1,3,10,4,6]=>[6,4,10,3,1,7,12,11,5,9,8,2]
[2,8,9,11,6,12,7,1,3,10,4,5]=>[5,4,10,3,1,7,12,6,11,9,8,2]
[2,8,9,5,6,12,7,1,3,10,11,4]=>[4,11,10,3,1,7,12,6,5,9,8,2]
[2,8,4,10,11,12,7,1,9,3,5,6]=>[6,5,3,9,1,7,12,11,10,4,8,2]
[2,8,4,10,6,12,7,1,9,3,11,5]=>[5,11,3,9,1,7,12,6,10,4,8,2]
[2,8,10,5,11,12,7,1,9,3,4,6]=>[6,4,3,9,1,7,12,11,5,10,8,2]
[2,8,10,11,6,12,7,1,9,3,4,5]=>[5,4,3,9,1,7,12,6,11,10,8,2]
[2,8,10,5,6,12,7,1,9,3,11,4]=>[4,11,3,9,1,7,12,6,5,10,8,2]
[2,8,4,5,11,12,7,1,9,10,3,6]=>[6,3,10,9,1,7,12,11,5,4,8,2]
[2,8,4,11,6,12,7,1,9,10,3,5]=>[5,3,10,9,1,7,12,6,11,4,8,2]
[2,8,11,5,6,12,7,1,9,10,3,4]=>[4,3,10,9,1,7,12,6,5,11,8,2]
[2,8,4,5,6,12,7,1,9,10,11,3]=>[3,11,10,9,1,7,12,6,5,4,8,2]
[8,3,9,10,11,12,7,1,2,4,5,6]=>[6,5,4,2,1,7,12,11,10,9,3,8]
[8,3,9,10,6,12,7,1,2,4,11,5]=>[5,11,4,2,1,7,12,6,10,9,3,8]
[8,3,9,5,11,12,7,1,2,10,4,6]=>[6,4,10,2,1,7,12,11,5,9,3,8]
[8,3,9,11,6,12,7,1,2,10,4,5]=>[5,4,10,2,1,7,12,6,11,9,3,8]
[8,3,9,5,6,12,7,1,2,10,11,4]=>[4,11,10,2,1,7,12,6,5,9,3,8]
[8,9,4,10,11,12,7,1,2,3,5,6]=>[6,5,3,2,1,7,12,11,10,4,9,8]
[8,9,4,10,6,12,7,1,2,3,11,5]=>[5,11,3,2,1,7,12,6,10,4,9,8]
[8,9,10,5,11,12,7,1,2,3,4,6]=>[6,4,3,2,1,7,12,11,5,10,9,8]
[8,9,10,11,6,12,7,1,2,3,4,5]=>[5,4,3,2,1,7,12,6,11,10,9,8]
[8,9,10,5,6,12,7,1,2,3,11,4]=>[4,11,3,2,1,7,12,6,5,10,9,8]
[8,9,4,5,11,12,7,1,2,10,3,6]=>[6,3,10,2,1,7,12,11,5,4,9,8]
[8,9,4,11,6,12,7,1,2,10,3,5]=>[5,3,10,2,1,7,12,6,11,4,9,8]
[8,9,11,5,6,12,7,1,2,10,3,4]=>[4,3,10,2,1,7,12,6,5,11,9,8]
[8,9,4,5,6,12,7,1,2,10,11,3]=>[3,11,10,2,1,7,12,6,5,4,9,8]
[8,3,4,10,11,12,7,1,9,2,5,6]=>[6,5,2,9,1,7,12,11,10,4,3,8]
[8,3,4,10,6,12,7,1,9,2,11,5]=>[5,11,2,9,1,7,12,6,10,4,3,8]
[8,3,10,5,11,12,7,1,9,2,4,6]=>[6,4,2,9,1,7,12,11,5,10,3,8]
[8,3,10,11,6,12,7,1,9,2,4,5]=>[5,4,2,9,1,7,12,6,11,10,3,8]
[8,3,10,5,6,12,7,1,9,2,11,4]=>[4,11,2,9,1,7,12,6,5,10,3,8]
[8,10,4,5,11,12,7,1,9,2,3,6]=>[6,3,2,9,1,7,12,11,5,4,10,8]
[8,10,4,11,6,12,7,1,9,2,3,5]=>[5,3,2,9,1,7,12,6,11,4,10,8]
[8,10,11,5,6,12,7,1,9,2,3,4]=>[4,3,2,9,1,7,12,6,5,11,10,8]
[8,10,4,5,6,12,7,1,9,2,11,3]=>[3,11,2,9,1,7,12,6,5,4,10,8]
[8,3,4,5,11,12,7,1,9,10,2,6]=>[6,2,10,9,1,7,12,11,5,4,3,8]
[8,3,4,11,6,12,7,1,9,10,2,5]=>[5,2,10,9,1,7,12,6,11,4,3,8]
[8,3,11,5,6,12,7,1,9,10,2,4]=>[4,2,10,9,1,7,12,6,5,11,3,8]
[8,11,4,5,6,12,7,1,9,10,2,3]=>[3,2,10,9,1,7,12,6,5,4,11,8]
[8,3,4,5,6,12,7,1,9,10,11,2]=>[2,11,10,9,1,7,12,6,5,4,3,8]
[2,3,9,10,11,12,7,8,1,4,5,6]=>[6,5,4,1,8,7,12,11,10,9,3,2]
[2,3,9,10,6,12,7,8,1,4,11,5]=>[5,11,4,1,8,7,12,6,10,9,3,2]
[2,3,9,5,11,12,7,8,1,10,4,6]=>[6,4,10,1,8,7,12,11,5,9,3,2]
[2,3,9,11,6,12,7,8,1,10,4,5]=>[5,4,10,1,8,7,12,6,11,9,3,2]
[2,3,9,5,6,12,7,8,1,10,11,4]=>[4,11,10,1,8,7,12,6,5,9,3,2]
[2,9,4,10,11,12,7,8,1,3,5,6]=>[6,5,3,1,8,7,12,11,10,4,9,2]
[2,9,4,10,6,12,7,8,1,3,11,5]=>[5,11,3,1,8,7,12,6,10,4,9,2]
[2,9,10,5,11,12,7,8,1,3,4,6]=>[6,4,3,1,8,7,12,11,5,10,9,2]
[2,9,10,11,6,12,7,8,1,3,4,5]=>[5,4,3,1,8,7,12,6,11,10,9,2]
[2,9,10,5,6,12,7,8,1,3,11,4]=>[4,11,3,1,8,7,12,6,5,10,9,2]
[2,9,4,5,11,12,7,8,1,10,3,6]=>[6,3,10,1,8,7,12,11,5,4,9,2]
[2,9,4,11,6,12,7,8,1,10,3,5]=>[5,3,10,1,8,7,12,6,11,4,9,2]
[2,9,11,5,6,12,7,8,1,10,3,4]=>[4,3,10,1,8,7,12,6,5,11,9,2]
[2,9,4,5,6,12,7,8,1,10,11,3]=>[3,11,10,1,8,7,12,6,5,4,9,2]
[9,3,4,10,11,12,7,8,1,2,5,6]=>[6,5,2,1,8,7,12,11,10,4,3,9]
[9,3,4,10,6,12,7,8,1,2,11,5]=>[5,11,2,1,8,7,12,6,10,4,3,9]
[9,3,10,5,11,12,7,8,1,2,4,6]=>[6,4,2,1,8,7,12,11,5,10,3,9]
[9,3,10,11,6,12,7,8,1,2,4,5]=>[5,4,2,1,8,7,12,6,11,10,3,9]
[9,3,10,5,6,12,7,8,1,2,11,4]=>[4,11,2,1,8,7,12,6,5,10,3,9]
[9,10,4,5,11,12,7,8,1,2,3,6]=>[6,3,2,1,8,7,12,11,5,4,10,9]
[9,10,4,11,6,12,7,8,1,2,3,5]=>[5,3,2,1,8,7,12,6,11,4,10,9]
[9,10,11,5,6,12,7,8,1,2,3,4]=>[4,3,2,1,8,7,12,6,5,11,10,9]
[9,10,4,5,6,12,7,8,1,2,11,3]=>[3,11,2,1,8,7,12,6,5,4,10,9]
[9,3,4,5,11,12,7,8,1,10,2,6]=>[6,2,10,1,8,7,12,11,5,4,3,9]
[9,3,4,11,6,12,7,8,1,10,2,5]=>[5,2,10,1,8,7,12,6,11,4,3,9]
[9,3,11,5,6,12,7,8,1,10,2,4]=>[4,2,10,1,8,7,12,6,5,11,3,9]
[9,11,4,5,6,12,7,8,1,10,2,3]=>[3,2,10,1,8,7,12,6,5,4,11,9]
[9,3,4,5,6,12,7,8,1,10,11,2]=>[2,11,10,1,8,7,12,6,5,4,3,9]
[2,3,4,10,11,12,7,8,9,1,5,6]=>[6,5,1,9,8,7,12,11,10,4,3,2]
[2,3,4,10,6,12,7,8,9,1,11,5]=>[5,11,1,9,8,7,12,6,10,4,3,2]
[2,3,10,5,11,12,7,8,9,1,4,6]=>[6,4,1,9,8,7,12,11,5,10,3,2]
[2,3,10,11,6,12,7,8,9,1,4,5]=>[5,4,1,9,8,7,12,6,11,10,3,2]
[2,3,10,5,6,12,7,8,9,1,11,4]=>[4,11,1,9,8,7,12,6,5,10,3,2]
[2,10,4,5,11,12,7,8,9,1,3,6]=>[6,3,1,9,8,7,12,11,5,4,10,2]
[2,10,4,11,6,12,7,8,9,1,3,5]=>[5,3,1,9,8,7,12,6,11,4,10,2]
[2,10,11,5,6,12,7,8,9,1,3,4]=>[4,3,1,9,8,7,12,6,5,11,10,2]
[2,10,4,5,6,12,7,8,9,1,11,3]=>[3,11,1,9,8,7,12,6,5,4,10,2]
[10,3,4,5,11,12,7,8,9,1,2,6]=>[6,2,1,9,8,7,12,11,5,4,3,10]
[10,3,4,11,6,12,7,8,9,1,2,5]=>[5,2,1,9,8,7,12,6,11,4,3,10]
[10,3,11,5,6,12,7,8,9,1,2,4]=>[4,2,1,9,8,7,12,6,5,11,3,10]
[10,11,4,5,6,12,7,8,9,1,2,3]=>[3,2,1,9,8,7,12,6,5,4,11,10]
[10,3,4,5,6,12,7,8,9,1,11,2]=>[2,11,1,9,8,7,12,6,5,4,3,10]
[2,3,4,5,11,12,7,8,9,10,1,6]=>[6,1,10,9,8,7,12,11,5,4,3,2]
[2,3,4,11,6,12,7,8,9,10,1,5]=>[5,1,10,9,8,7,12,6,11,4,3,2]
[2,3,11,5,6,12,7,8,9,10,1,4]=>[4,1,10,9,8,7,12,6,5,11,3,2]
[2,11,4,5,6,12,7,8,9,10,1,3]=>[3,1,10,9,8,7,12,6,5,4,11,2]
[11,3,4,5,6,12,7,8,9,10,1,2]=>[2,1,10,9,8,7,12,6,5,4,3,11]
[8,7,9,6,12,5,2,10,4,11,3,1]=>[1,3,11,4,10,2,5,12,6,9,7,8]
[8,7,11,6,3,9,5,10,4,2,12,1]=>[1,12,2,4,10,5,9,3,6,11,7,8]
[8,7,12,6,2,9,5,10,4,11,3,1]=>[1,3,11,4,10,5,9,2,6,12,7,8]
[9,8,12,7,4,10,6,11,5,3,2,1]=>[1,2,3,5,11,6,10,4,7,12,8,9]
[9,8,12,7,3,11,6,5,10,4,2,1]=>[1,2,4,10,5,6,11,3,7,12,8,9]
[9,8,12,7,6,5,2,10,4,11,3,1]=>[1,3,11,4,10,2,5,6,7,12,8,9]
[9,8,12,10,6,2,7,5,4,11,3,1]=>[1,3,11,4,5,7,2,6,10,12,8,9]
[9,8,12,11,6,2,7,4,10,5,3,1]=>[1,3,5,10,4,7,2,6,11,12,8,9]
[9,8,7,6,12,5,2,10,4,11,3,1]=>[1,3,11,4,10,2,5,12,6,7,8,9]
[10,7,4,8,6,9,5,3,11,2,12,1]=>[1,12,2,11,3,5,9,6,8,4,7,10]
[11,8,5,9,7,10,6,4,12,3,2,1]=>[1,2,3,12,4,6,10,7,9,5,8,11]
[11,7,3,8,6,9,5,10,4,2,12,1]=>[1,12,2,4,10,5,9,6,8,3,7,11]
[12,7,2,8,6,9,5,10,4,11,3,1]=>[1,3,11,4,10,5,9,6,8,2,7,12]
[12,8,4,9,7,10,6,11,5,3,2,1]=>[1,2,3,5,11,6,10,7,9,4,8,12]
[11,8,5,9,7,10,6,4,3,2,12,1]=>[1,12,2,3,4,6,10,7,9,5,8,11]
[12,8,5,9,7,10,6,4,2,11,3,1]=>[1,3,11,2,4,6,10,7,9,5,8,12]
[12,8,3,9,7,11,6,5,10,4,2,1]=>[1,2,4,10,5,6,11,7,9,3,8,12]
[12,9,6,10,8,11,7,5,4,3,2,1]=>[1,2,3,4,5,7,11,8,10,6,9,12]
[12,8,6,9,7,5,2,10,4,11,3,1]=>[1,3,11,4,10,2,5,7,9,6,8,12]
[11,8,4,10,7,6,9,5,3,2,12,1]=>[1,12,2,3,5,9,6,7,10,4,8,11]
[12,8,4,10,7,6,9,5,2,11,3,1]=>[1,3,11,2,5,9,6,7,10,4,8,12]
[12,8,3,11,7,6,9,4,10,5,2,1]=>[1,2,5,10,4,9,6,7,11,3,8,12]
[12,9,5,11,8,7,10,6,4,3,2,1]=>[1,2,3,4,6,10,7,8,11,5,9,12]
[12,9,4,11,10,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,10,11,4,9,12]
[11,8,7,6,3,9,5,10,4,2,12,1]=>[1,12,2,4,10,5,9,3,6,7,8,11]
[12,8,7,6,2,9,5,10,4,11,3,1]=>[1,3,11,4,10,5,9,2,6,7,8,12]
[12,9,8,7,4,10,6,11,5,3,2,1]=>[1,2,3,5,11,6,10,4,7,8,9,12]
[12,9,8,7,3,11,6,5,10,4,2,1]=>[1,2,4,10,5,6,11,3,7,8,9,12]
[11,9,7,3,8,6,5,10,4,2,12,1]=>[1,12,2,4,10,5,6,8,3,7,9,11]
[12,9,7,2,8,6,5,10,4,11,3,1]=>[1,3,11,4,10,5,6,8,2,7,9,12]
[12,10,8,4,9,7,6,11,5,3,2,1]=>[1,2,3,5,11,6,7,9,4,8,10,12]
[11,10,7,3,8,5,9,6,4,2,12,1]=>[1,12,2,4,6,9,5,8,3,7,10,11]
[12,10,7,2,8,5,9,6,4,11,3,1]=>[1,3,11,4,6,9,5,8,2,7,10,12]
[12,11,7,2,8,4,9,6,10,5,3,1]=>[1,3,5,10,6,9,4,8,2,7,11,12]
[12,11,8,4,9,6,10,7,5,3,2,1]=>[1,2,3,5,7,10,6,9,4,8,11,12]
[12,11,8,3,10,7,5,9,6,4,2,1]=>[1,2,4,6,9,5,7,10,3,8,11,12]
[12,9,8,7,6,5,2,10,4,11,3,1]=>[1,3,11,4,10,2,5,6,7,8,9,12]
[12,10,8,7,6,2,9,5,4,11,3,1]=>[1,3,11,4,5,9,2,6,7,8,10,12]
[12,11,8,7,6,2,9,4,10,5,3,1]=>[1,3,5,10,4,9,2,6,7,8,11,12]
[12,10,9,7,2,8,6,5,4,11,3,1]=>[1,3,11,4,5,6,8,2,7,9,10,12]
[12,11,9,7,2,8,6,4,10,5,3,1]=>[1,3,5,10,4,6,8,2,7,9,11,12]
[12,11,10,7,2,8,4,9,6,5,3,1]=>[1,3,5,6,9,4,8,2,7,10,11,12]
[5,9,10,12,2,4,7,11,1,3,6,8]=>[8,6,3,1,11,7,4,2,12,10,9,5]
[5,9,10,12,3,4,7,11,1,2,6,8]=>[8,6,2,1,11,7,4,3,12,10,9,5]
[4,9,10,12,1,5,7,11,2,3,6,8]=>[8,6,3,2,11,7,5,1,12,10,9,4]
[4,9,10,12,2,5,7,11,1,3,6,8]=>[8,6,3,1,11,7,5,2,12,10,9,4]
[9,10,12,1,3,5,7,11,2,4,6,8]=>[8,6,4,2,11,7,5,3,1,12,10,9]
[5,6,10,12,2,4,9,11,1,3,7,8]=>[8,7,3,1,11,9,4,2,12,10,6,5]
[5,6,10,12,3,4,9,11,1,2,7,8]=>[8,7,2,1,11,9,4,3,12,10,6,5]
[4,6,10,12,1,5,9,11,2,3,7,8]=>[8,7,3,2,11,9,5,1,12,10,6,4]
[4,6,10,12,2,5,9,11,1,3,7,8]=>[8,7,3,1,11,9,5,2,12,10,6,4]
[6,10,12,1,3,5,9,11,2,4,7,8]=>[8,7,4,2,11,9,5,3,1,12,10,6]
[4,5,10,12,1,3,9,11,2,6,7,8]=>[8,7,6,2,11,9,3,1,12,10,5,4]
[4,5,10,12,2,3,9,11,1,6,7,8]=>[8,7,6,1,11,9,3,2,12,10,5,4]
[5,10,12,1,3,4,9,11,2,6,7,8]=>[8,7,6,2,11,9,4,3,1,12,10,5]
[4,10,12,1,2,5,9,11,3,6,7,8]=>[8,7,6,3,11,9,5,2,1,12,10,4]
[5,8,9,11,2,4,7,10,12,1,3,6]=>[6,3,1,12,10,7,4,2,11,9,8,5]
[5,8,9,11,3,4,7,10,12,1,2,6]=>[6,2,1,12,10,7,4,3,11,9,8,5]
[4,8,9,11,1,5,7,10,12,2,3,6]=>[6,3,2,12,10,7,5,1,11,9,8,4]
[4,8,9,11,2,5,7,10,12,1,3,6]=>[6,3,1,12,10,7,5,2,11,9,8,4]
[8,9,11,1,3,5,7,10,12,2,4,6]=>[6,4,2,12,10,7,5,3,1,11,9,8]
[5,6,9,11,2,4,8,10,12,1,3,7]=>[7,3,1,12,10,8,4,2,11,9,6,5]
[5,6,9,11,3,4,8,10,12,1,2,7]=>[7,2,1,12,10,8,4,3,11,9,6,5]
[4,6,9,11,1,5,8,10,12,2,3,7]=>[7,3,2,12,10,8,5,1,11,9,6,4]
[4,6,9,11,2,5,8,10,12,1,3,7]=>[7,3,1,12,10,8,5,2,11,9,6,4]
[6,9,11,1,3,5,8,10,12,2,4,7]=>[7,4,2,12,10,8,5,3,1,11,9,6]
[4,5,9,11,1,3,8,10,12,2,6,7]=>[7,6,2,12,10,8,3,1,11,9,5,4]
[4,5,9,11,2,3,8,10,12,1,6,7]=>[7,6,1,12,10,8,3,2,11,9,5,4]
[5,9,11,1,3,4,8,10,12,2,6,7]=>[7,6,2,12,10,8,4,3,1,11,9,5]
[4,9,11,1,2,5,8,10,12,3,6,7]=>[7,6,3,12,10,8,5,2,1,11,9,4]
[5,6,9,10,2,4,7,11,12,1,3,8]=>[8,3,1,12,11,7,4,2,10,9,6,5]
[5,6,9,10,3,4,7,11,12,1,2,8]=>[8,2,1,12,11,7,4,3,10,9,6,5]
[4,6,9,10,1,5,7,11,12,2,3,8]=>[8,3,2,12,11,7,5,1,10,9,6,4]
[4,6,9,10,2,5,7,11,12,1,3,8]=>[8,3,1,12,11,7,5,2,10,9,6,4]
[6,9,10,1,3,5,7,11,12,2,4,8]=>[8,4,2,12,11,7,5,3,1,10,9,6]
[4,5,9,10,1,3,7,11,12,2,6,8]=>[8,6,2,12,11,7,3,1,10,9,5,4]
[4,5,9,10,2,3,7,11,12,1,6,8]=>[8,6,1,12,11,7,3,2,10,9,5,4]
[5,9,10,1,3,4,7,11,12,2,6,8]=>[8,6,2,12,11,7,4,3,1,10,9,5]
[4,9,10,1,2,5,7,11,12,3,6,8]=>[8,6,3,12,11,7,5,2,1,10,9,4]
[4,5,6,10,1,3,9,11,12,2,7,8]=>[8,7,2,12,11,9,3,1,10,6,5,4]
[4,5,6,10,2,3,9,11,12,1,7,8]=>[8,7,1,12,11,9,3,2,10,6,5,4]
[5,6,10,1,3,4,9,11,12,2,7,8]=>[8,7,2,12,11,9,4,3,1,10,6,5]
[4,6,10,1,2,5,9,11,12,3,7,8]=>[8,7,3,12,11,9,5,2,1,10,6,4]
[4,5,10,1,2,3,9,11,12,6,7,8]=>[8,7,6,12,11,9,3,2,1,10,5,4]
[5,9,11,12,2,4,7,10,1,3,6,8]=>[8,6,3,1,10,7,4,2,12,11,9,5]
[5,9,11,12,3,4,7,10,1,2,6,8]=>[8,6,2,1,10,7,4,3,12,11,9,5]
[4,9,11,12,1,5,7,10,2,3,6,8]=>[8,6,3,2,10,7,5,1,12,11,9,4]
[4,9,11,12,2,5,7,10,1,3,6,8]=>[8,6,3,1,10,7,5,2,12,11,9,4]
[9,11,12,1,3,5,7,10,2,4,6,8]=>[8,6,4,2,10,7,5,3,1,12,11,9]
[5,6,11,12,2,4,9,10,1,3,7,8]=>[8,7,3,1,10,9,4,2,12,11,6,5]
[5,6,11,12,3,4,9,10,1,2,7,8]=>[8,7,2,1,10,9,4,3,12,11,6,5]
[4,6,11,12,1,5,9,10,2,3,7,8]=>[8,7,3,2,10,9,5,1,12,11,6,4]
[4,6,11,12,2,5,9,10,1,3,7,8]=>[8,7,3,1,10,9,5,2,12,11,6,4]
[6,11,12,1,3,5,9,10,2,4,7,8]=>[8,7,4,2,10,9,5,3,1,12,11,6]
[4,5,11,12,1,3,9,10,2,6,7,8]=>[8,7,6,2,10,9,3,1,12,11,5,4]
[4,5,11,12,2,3,9,10,1,6,7,8]=>[8,7,6,1,10,9,3,2,12,11,5,4]
[5,11,12,1,3,4,9,10,2,6,7,8]=>[8,7,6,2,10,9,4,3,1,12,11,5]
[4,11,12,1,2,5,9,10,3,6,7,8]=>[8,7,6,3,10,9,5,2,1,12,11,4]
[5,8,10,11,2,4,7,9,12,1,3,6]=>[6,3,1,12,9,7,4,2,11,10,8,5]
[5,8,10,11,3,4,7,9,12,1,2,6]=>[6,2,1,12,9,7,4,3,11,10,8,5]
[4,8,10,11,1,5,7,9,12,2,3,6]=>[6,3,2,12,9,7,5,1,11,10,8,4]
[4,8,10,11,2,5,7,9,12,1,3,6]=>[6,3,1,12,9,7,5,2,11,10,8,4]
[8,10,11,1,3,5,7,9,12,2,4,6]=>[6,4,2,12,9,7,5,3,1,11,10,8]
[5,6,10,11,2,4,8,9,12,1,3,7]=>[7,3,1,12,9,8,4,2,11,10,6,5]
[5,6,10,11,3,4,8,9,12,1,2,7]=>[7,2,1,12,9,8,4,3,11,10,6,5]
[4,6,10,11,1,5,8,9,12,2,3,7]=>[7,3,2,12,9,8,5,1,11,10,6,4]
[4,6,10,11,2,5,8,9,12,1,3,7]=>[7,3,1,12,9,8,5,2,11,10,6,4]
[6,10,11,1,3,5,8,9,12,2,4,7]=>[7,4,2,12,9,8,5,3,1,11,10,6]
[4,5,10,11,1,3,8,9,12,2,6,7]=>[7,6,2,12,9,8,3,1,11,10,5,4]
[4,5,10,11,2,3,8,9,12,1,6,7]=>[7,6,1,12,9,8,3,2,11,10,5,4]
[5,10,11,1,3,4,8,9,12,2,6,7]=>[7,6,2,12,9,8,4,3,1,11,10,5]
[4,10,11,1,2,5,8,9,12,3,6,7]=>[7,6,3,12,9,8,5,2,1,11,10,4]
[5,6,9,11,2,4,7,10,12,1,3,8]=>[8,3,1,12,10,7,4,2,11,9,6,5]
[5,6,9,11,3,4,7,10,12,1,2,8]=>[8,2,1,12,10,7,4,3,11,9,6,5]
[4,6,9,11,1,5,7,10,12,2,3,8]=>[8,3,2,12,10,7,5,1,11,9,6,4]
[4,6,9,11,2,5,7,10,12,1,3,8]=>[8,3,1,12,10,7,5,2,11,9,6,4]
[6,9,11,1,3,5,7,10,12,2,4,8]=>[8,4,2,12,10,7,5,3,1,11,9,6]
[4,5,9,11,1,3,7,10,12,2,6,8]=>[8,6,2,12,10,7,3,1,11,9,5,4]
[4,5,9,11,2,3,7,10,12,1,6,8]=>[8,6,1,12,10,7,3,2,11,9,5,4]
[5,9,11,1,3,4,7,10,12,2,6,8]=>[8,6,2,12,10,7,4,3,1,11,9,5]
[4,9,11,1,2,5,7,10,12,3,6,8]=>[8,6,3,12,10,7,5,2,1,11,9,4]
[4,5,6,11,1,3,9,10,12,2,7,8]=>[8,7,2,12,10,9,3,1,11,6,5,4]
[4,5,6,11,2,3,9,10,12,1,7,8]=>[8,7,1,12,10,9,3,2,11,6,5,4]
[5,6,11,1,3,4,9,10,12,2,7,8]=>[8,7,2,12,10,9,4,3,1,11,6,5]
[4,6,11,1,2,5,9,10,12,3,7,8]=>[8,7,3,12,10,9,5,2,1,11,6,4]
[4,5,11,1,2,3,9,10,12,6,7,8]=>[8,7,6,12,10,9,3,2,1,11,5,4]
[5,8,10,12,2,4,7,9,11,1,3,6]=>[6,3,1,11,9,7,4,2,12,10,8,5]
[5,8,10,12,3,4,7,9,11,1,2,6]=>[6,2,1,11,9,7,4,3,12,10,8,5]
[4,8,10,12,1,5,7,9,11,2,3,6]=>[6,3,2,11,9,7,5,1,12,10,8,4]
[4,8,10,12,2,5,7,9,11,1,3,6]=>[6,3,1,11,9,7,5,2,12,10,8,4]
[8,10,12,1,3,5,7,9,11,2,4,6]=>[6,4,2,11,9,7,5,3,1,12,10,8]
[5,6,10,12,2,4,8,9,11,1,3,7]=>[7,3,1,11,9,8,4,2,12,10,6,5]
[5,6,10,12,3,4,8,9,11,1,2,7]=>[7,2,1,11,9,8,4,3,12,10,6,5]
[4,6,10,12,1,5,8,9,11,2,3,7]=>[7,3,2,11,9,8,5,1,12,10,6,4]
[4,6,10,12,2,5,8,9,11,1,3,7]=>[7,3,1,11,9,8,5,2,12,10,6,4]
[6,10,12,1,3,5,8,9,11,2,4,7]=>[7,4,2,11,9,8,5,3,1,12,10,6]
[4,5,10,12,1,3,8,9,11,2,6,7]=>[7,6,2,11,9,8,3,1,12,10,5,4]
[4,5,10,12,2,3,8,9,11,1,6,7]=>[7,6,1,11,9,8,3,2,12,10,5,4]
[5,10,12,1,3,4,8,9,11,2,6,7]=>[7,6,2,11,9,8,4,3,1,12,10,5]
[4,10,12,1,2,5,8,9,11,3,6,7]=>[7,6,3,11,9,8,5,2,1,12,10,4]
[5,6,9,12,2,4,7,10,11,1,3,8]=>[8,3,1,11,10,7,4,2,12,9,6,5]
[5,6,9,12,3,4,7,10,11,1,2,8]=>[8,2,1,11,10,7,4,3,12,9,6,5]
[4,6,9,12,1,5,7,10,11,2,3,8]=>[8,3,2,11,10,7,5,1,12,9,6,4]
[4,6,9,12,2,5,7,10,11,1,3,8]=>[8,3,1,11,10,7,5,2,12,9,6,4]
[6,9,12,1,3,5,7,10,11,2,4,8]=>[8,4,2,11,10,7,5,3,1,12,9,6]
[4,5,9,12,1,3,7,10,11,2,6,8]=>[8,6,2,11,10,7,3,1,12,9,5,4]
[4,5,9,12,2,3,7,10,11,1,6,8]=>[8,6,1,11,10,7,3,2,12,9,5,4]
[5,9,12,1,3,4,7,10,11,2,6,8]=>[8,6,2,11,10,7,4,3,1,12,9,5]
[4,9,12,1,2,5,7,10,11,3,6,8]=>[8,6,3,11,10,7,5,2,1,12,9,4]
[4,5,6,12,1,3,9,10,11,2,7,8]=>[8,7,2,11,10,9,3,1,12,6,5,4]
[4,5,6,12,2,3,9,10,11,1,7,8]=>[8,7,1,11,10,9,3,2,12,6,5,4]
[5,6,12,1,3,4,9,10,11,2,7,8]=>[8,7,2,11,10,9,4,3,1,12,6,5]
[4,6,12,1,2,5,9,10,11,3,7,8]=>[8,7,3,11,10,9,5,2,1,12,6,4]
[4,5,12,1,2,3,9,10,11,6,7,8]=>[8,7,6,11,10,9,3,2,1,12,5,4]
[5,6,8,11,2,4,7,10,12,1,3,9]=>[9,3,1,12,10,7,4,2,11,8,6,5]
[5,6,8,11,3,4,7,10,12,1,2,9]=>[9,2,1,12,10,7,4,3,11,8,6,5]
[4,6,8,11,1,5,7,10,12,2,3,9]=>[9,3,2,12,10,7,5,1,11,8,6,4]
[4,6,8,11,2,5,7,10,12,1,3,9]=>[9,3,1,12,10,7,5,2,11,8,6,4]
[6,8,11,1,3,5,7,10,12,2,4,9]=>[9,4,2,12,10,7,5,3,1,11,8,6]
[4,5,8,11,1,3,7,10,12,2,6,9]=>[9,6,2,12,10,7,3,1,11,8,5,4]
[4,5,8,11,2,3,7,10,12,1,6,9]=>[9,6,1,12,10,7,3,2,11,8,5,4]
[5,8,11,1,3,4,7,10,12,2,6,9]=>[9,6,2,12,10,7,4,3,1,11,8,5]
[4,8,11,1,2,5,7,10,12,3,6,9]=>[9,6,3,12,10,7,5,2,1,11,8,4]
[4,5,6,11,1,3,8,10,12,2,7,9]=>[9,7,2,12,10,8,3,1,11,6,5,4]
[4,5,6,11,2,3,8,10,12,1,7,9]=>[9,7,1,12,10,8,3,2,11,6,5,4]
[5,6,11,1,3,4,8,10,12,2,7,9]=>[9,7,2,12,10,8,4,3,1,11,6,5]
[4,6,11,1,2,5,8,10,12,3,7,9]=>[9,7,3,12,10,8,5,2,1,11,6,4]
[4,5,11,1,2,3,8,10,12,6,7,9]=>[9,7,6,12,10,8,3,2,1,11,5,4]
[4,5,6,10,1,3,7,11,12,2,8,9]=>[9,8,2,12,11,7,3,1,10,6,5,4]
[4,5,6,10,2,3,7,11,12,1,8,9]=>[9,8,1,12,11,7,3,2,10,6,5,4]
[5,6,10,1,3,4,7,11,12,2,8,9]=>[9,8,2,12,11,7,4,3,1,10,6,5]
[4,6,10,1,2,5,7,11,12,3,8,9]=>[9,8,3,12,11,7,5,2,1,10,6,4]
[4,5,10,1,2,3,7,11,12,6,8,9]=>[9,8,6,12,11,7,3,2,1,10,5,4]
[2,1,4,3,6,5,12,10,8,11,9,7]=>[7,9,11,8,10,12,5,6,3,4,1,2]
[2,1,4,3,12,10,11,8,6,9,7,5]=>[5,7,9,6,8,11,10,12,3,4,1,2]
[2,1,4,3,10,8,6,9,7,5,12,11]=>[11,12,5,7,9,6,8,10,3,4,1,2]
[2,1,4,3,12,10,8,11,9,6,7,5]=>[5,7,6,9,11,8,10,12,3,4,1,2]
[2,1,4,3,12,10,8,11,6,9,7,5]=>[5,7,9,6,11,8,10,12,3,4,1,2]
[2,1,4,3,12,10,8,6,11,9,7,5]=>[5,7,9,11,6,8,10,12,3,4,1,2]
[2,1,6,4,5,3,12,10,8,11,9,7]=>[7,9,11,8,10,12,3,5,4,6,1,2]
[2,1,12,10,11,8,9,6,4,7,5,3]=>[3,5,7,4,6,9,8,11,10,12,1,2]
[2,1,10,8,9,6,4,7,5,3,12,11]=>[11,12,3,5,7,4,6,9,8,10,1,2]
[2,1,12,10,11,8,6,9,7,4,5,3]=>[3,5,4,7,9,6,8,11,10,12,1,2]
[2,1,12,10,11,8,6,9,4,7,5,3]=>[3,5,7,4,9,6,8,11,10,12,1,2]
[2,1,12,10,11,8,6,4,9,7,5,3]=>[3,5,7,9,4,6,8,11,10,12,1,2]
[2,1,8,6,4,7,5,3,10,9,12,11]=>[11,12,9,10,3,5,7,4,6,8,1,2]
[2,1,8,6,4,7,5,3,12,10,11,9]=>[9,11,10,12,3,5,7,4,6,8,1,2]
[2,1,10,8,6,9,7,4,5,3,12,11]=>[11,12,3,5,4,7,9,6,8,10,1,2]
[2,1,12,10,8,11,9,6,7,4,5,3]=>[3,5,4,7,6,9,11,8,10,12,1,2]
[2,1,12,10,8,11,9,6,4,7,5,3]=>[3,5,7,4,6,9,11,8,10,12,1,2]
[2,1,10,8,6,9,4,7,5,3,12,11]=>[11,12,3,5,7,4,9,6,8,10,1,2]
[2,1,12,10,8,11,6,9,7,4,5,3]=>[3,5,4,7,9,6,11,8,10,12,1,2]
[2,1,12,10,8,11,6,9,4,7,5,3]=>[3,5,7,4,9,6,11,8,10,12,1,2]
[2,1,12,10,8,11,6,4,9,7,5,3]=>[3,5,7,9,4,6,11,8,10,12,1,2]
[2,1,10,8,6,4,9,7,5,3,12,11]=>[11,12,3,5,7,9,4,6,8,10,1,2]
[2,1,12,10,8,6,11,9,7,4,5,3]=>[3,5,4,7,9,11,6,8,10,12,1,2]
[2,1,12,10,8,6,11,9,4,7,5,3]=>[3,5,7,4,9,11,6,8,10,12,1,2]
[2,1,12,10,8,6,11,4,9,7,5,3]=>[3,5,7,9,4,11,6,8,10,12,1,2]
[2,1,12,10,8,6,4,11,9,7,5,3]=>[3,5,7,9,11,4,6,8,10,12,1,2]
[4,2,3,1,6,5,12,10,8,11,9,7]=>[7,9,11,8,10,12,5,6,1,3,2,4]
[4,2,3,1,12,10,11,8,6,9,7,5]=>[5,7,9,6,8,11,10,12,1,3,2,4]
[4,2,3,1,10,8,6,9,7,5,12,11]=>[11,12,5,7,9,6,8,10,1,3,2,4]
[4,2,3,1,12,10,8,11,9,6,7,5]=>[5,7,6,9,11,8,10,12,1,3,2,4]
[4,2,3,1,12,10,8,11,6,9,7,5]=>[5,7,9,6,11,8,10,12,1,3,2,4]
[4,2,3,1,12,10,8,6,11,9,7,5]=>[5,7,9,11,6,8,10,12,1,3,2,4]
[6,4,5,2,3,1,12,10,8,11,9,7]=>[7,9,11,8,10,12,1,3,2,5,4,6]
[12,10,11,8,9,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,9,8,11,10,12]
[10,8,9,6,7,4,2,5,3,1,12,11]=>[11,12,1,3,5,2,4,7,6,9,8,10]
[12,10,11,8,9,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,9,8,11,10,12]
[12,10,11,8,9,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,9,8,11,10,12]
[12,10,11,8,9,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,9,8,11,10,12]
[8,6,7,4,2,5,3,1,10,9,12,11]=>[11,12,9,10,1,3,5,2,4,7,6,8]
[8,6,7,4,2,5,3,1,12,10,11,9]=>[9,11,10,12,1,3,5,2,4,7,6,8]
[10,8,9,6,4,7,5,2,3,1,12,11]=>[11,12,1,3,2,5,7,4,6,9,8,10]
[12,10,11,8,6,9,7,4,5,2,3,1]=>[1,3,2,5,4,7,9,6,8,11,10,12]
[12,10,11,8,6,9,7,4,2,5,3,1]=>[1,3,5,2,4,7,9,6,8,11,10,12]
[10,8,9,6,4,7,2,5,3,1,12,11]=>[11,12,1,3,5,2,7,4,6,9,8,10]
[12,10,11,8,6,9,4,7,5,2,3,1]=>[1,3,2,5,7,4,9,6,8,11,10,12]
[12,10,11,8,6,9,4,7,2,5,3,1]=>[1,3,5,2,7,4,9,6,8,11,10,12]
[12,10,11,8,6,9,4,2,7,5,3,1]=>[1,3,5,7,2,4,9,6,8,11,10,12]
[10,8,9,6,4,2,7,5,3,1,12,11]=>[11,12,1,3,5,7,2,4,6,9,8,10]
[12,10,11,8,6,4,9,7,5,2,3,1]=>[1,3,2,5,7,9,4,6,8,11,10,12]
[12,10,11,8,6,4,9,7,2,5,3,1]=>[1,3,5,2,7,9,4,6,8,11,10,12]
[12,10,11,8,6,4,9,2,7,5,3,1]=>[1,3,5,7,2,9,4,6,8,11,10,12]
[12,10,11,8,6,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,6,8,11,10,12]
[6,4,2,5,3,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,3,5,2,4,6]
[6,4,2,5,3,1,8,7,12,10,11,9]=>[9,11,10,12,7,8,1,3,5,2,4,6]
[6,4,2,5,3,1,10,8,9,7,12,11]=>[11,12,7,9,8,10,1,3,5,2,4,6]
[6,4,2,5,3,1,12,10,11,8,9,7]=>[7,9,8,11,10,12,1,3,5,2,4,6]
[6,4,2,5,3,1,12,10,8,11,9,7]=>[7,9,11,8,10,12,1,3,5,2,4,6]
[8,6,4,7,5,2,3,1,10,9,12,11]=>[11,12,9,10,1,3,2,5,7,4,6,8]
[8,6,4,7,5,2,3,1,12,10,11,9]=>[9,11,10,12,1,3,2,5,7,4,6,8]
[10,8,6,9,7,4,5,2,3,1,12,11]=>[11,12,1,3,2,5,4,7,9,6,8,10]
[12,10,8,11,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,11,8,10,12]
[12,10,8,11,9,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,9,11,8,10,12]
[10,8,6,9,7,4,2,5,3,1,12,11]=>[11,12,1,3,5,2,4,7,9,6,8,10]
[12,10,8,11,9,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,9,11,8,10,12]
[12,10,8,11,9,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,9,11,8,10,12]
[12,10,8,11,9,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,9,11,8,10,12]
[8,6,4,7,2,5,3,1,10,9,12,11]=>[11,12,9,10,1,3,5,2,7,4,6,8]
[8,6,4,7,2,5,3,1,12,10,11,9]=>[9,11,10,12,1,3,5,2,7,4,6,8]
[10,8,6,9,4,7,5,2,3,1,12,11]=>[11,12,1,3,2,5,7,4,9,6,8,10]
[12,10,8,11,6,9,7,4,5,2,3,1]=>[1,3,2,5,4,7,9,6,11,8,10,12]
[12,10,8,11,6,9,7,4,2,5,3,1]=>[1,3,5,2,4,7,9,6,11,8,10,12]
[10,8,6,9,4,7,2,5,3,1,12,11]=>[11,12,1,3,5,2,7,4,9,6,8,10]
[12,10,8,11,6,9,4,7,5,2,3,1]=>[1,3,2,5,7,4,9,6,11,8,10,12]
[12,10,8,11,6,9,4,7,2,5,3,1]=>[1,3,5,2,7,4,9,6,11,8,10,12]
[12,10,8,11,6,9,4,2,7,5,3,1]=>[1,3,5,7,2,4,9,6,11,8,10,12]
[10,8,6,9,4,2,7,5,3,1,12,11]=>[11,12,1,3,5,7,2,4,9,6,8,10]
[12,10,8,11,6,4,9,7,5,2,3,1]=>[1,3,2,5,7,9,4,6,11,8,10,12]
[12,10,8,11,6,4,9,7,2,5,3,1]=>[1,3,5,2,7,9,4,6,11,8,10,12]
[12,10,8,11,6,4,9,2,7,5,3,1]=>[1,3,5,7,2,9,4,6,11,8,10,12]
[12,10,8,11,6,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,6,11,8,10,12]
[8,6,4,2,7,5,3,1,10,9,12,11]=>[11,12,9,10,1,3,5,7,2,4,6,8]
[8,6,4,2,7,5,3,1,12,10,11,9]=>[9,11,10,12,1,3,5,7,2,4,6,8]
[10,8,6,4,9,7,5,2,3,1,12,11]=>[11,12,1,3,2,5,7,9,4,6,8,10]
[12,10,8,6,11,9,7,4,5,2,3,1]=>[1,3,2,5,4,7,9,11,6,8,10,12]
[12,10,8,6,11,9,7,4,2,5,3,1]=>[1,3,5,2,4,7,9,11,6,8,10,12]
[10,8,6,4,9,7,2,5,3,1,12,11]=>[11,12,1,3,5,2,7,9,4,6,8,10]
[12,10,8,6,11,9,4,7,5,2,3,1]=>[1,3,2,5,7,4,9,11,6,8,10,12]
[12,10,8,6,11,9,4,7,2,5,3,1]=>[1,3,5,2,7,4,9,11,6,8,10,12]
[12,10,8,6,11,9,4,2,7,5,3,1]=>[1,3,5,7,2,4,9,11,6,8,10,12]
[10,8,6,4,9,2,7,5,3,1,12,11]=>[11,12,1,3,5,7,2,9,4,6,8,10]
[12,10,8,6,11,4,9,7,5,2,3,1]=>[1,3,2,5,7,9,4,11,6,8,10,12]
[12,10,8,6,11,4,9,7,2,5,3,1]=>[1,3,5,2,7,9,4,11,6,8,10,12]
[12,10,8,6,11,4,9,2,7,5,3,1]=>[1,3,5,7,2,9,4,11,6,8,10,12]
[12,10,8,6,11,4,2,9,7,5,3,1]=>[1,3,5,7,9,2,4,11,6,8,10,12]
[10,8,6,4,2,9,7,5,3,1,12,11]=>[11,12,1,3,5,7,9,2,4,6,8,10]
[12,10,8,6,4,11,9,7,5,2,3,1]=>[1,3,2,5,7,9,11,4,6,8,10,12]
[12,10,8,6,4,11,9,7,2,5,3,1]=>[1,3,5,2,7,9,11,4,6,8,10,12]
[12,10,8,6,4,11,9,2,7,5,3,1]=>[1,3,5,7,2,9,11,4,6,8,10,12]
[12,10,8,6,4,11,2,9,7,5,3,1]=>[1,3,5,7,9,2,11,4,6,8,10,12]
[12,10,8,6,4,2,11,9,7,5,3,1]=>[1,3,5,7,9,11,2,4,6,8,10,12]
[7,5,8,6,9,3,11,1,10,4,12,2]=>[2,12,4,10,1,11,3,9,6,8,5,7]
[7,5,9,3,8,6,10,4,11,1,12,2]=>[2,12,1,11,4,10,6,8,3,9,5,7]
[7,5,9,3,8,6,11,1,10,4,12,2]=>[2,12,4,10,1,11,6,8,3,9,5,7]
[7,5,11,1,9,3,8,6,10,4,12,2]=>[2,12,4,10,6,8,3,9,1,11,5,7]
[8,7,5,6,9,3,10,4,11,1,12,2]=>[2,12,1,11,4,10,3,9,6,5,7,8]
[8,7,5,6,9,3,11,1,10,4,12,2]=>[2,12,4,10,1,11,3,9,6,5,7,8]
[9,3,8,7,5,6,10,4,11,1,12,2]=>[2,12,1,11,4,10,6,5,7,8,3,9]
[9,3,8,7,5,6,11,1,10,4,12,2]=>[2,12,4,10,1,11,6,5,7,8,3,9]
[11,1,9,3,8,7,5,6,10,4,12,2]=>[2,12,4,10,6,5,7,8,3,9,1,11]
[8,9,3,7,5,6,10,4,11,1,12,2]=>[2,12,1,11,4,10,6,5,7,3,9,8]
[8,9,3,7,5,6,11,1,10,4,12,2]=>[2,12,4,10,1,11,6,5,7,3,9,8]
[8,11,1,9,3,7,5,6,10,4,12,2]=>[2,12,4,10,6,5,7,3,9,1,11,8]
[11,1,8,9,3,7,5,6,10,4,12,2]=>[2,12,4,10,6,5,7,3,9,8,1,11]
[8,6,9,3,10,5,7,4,11,1,12,2]=>[2,12,1,11,4,7,5,10,3,9,6,8]
[8,6,9,3,11,1,10,5,7,4,12,2]=>[2,12,4,7,5,10,1,11,3,9,6,8]
[9,3,8,6,10,5,7,4,11,1,12,2]=>[2,12,1,11,4,7,5,10,6,8,3,9]
[9,3,8,6,11,1,10,5,7,4,12,2]=>[2,12,4,7,5,10,1,11,6,8,3,9]
[11,1,9,3,8,6,10,5,7,4,12,2]=>[2,12,4,7,5,10,6,8,3,9,1,11]
[9,3,10,5,6,8,7,4,11,1,12,2]=>[2,12,1,11,4,7,8,6,5,10,3,9]
[9,3,11,1,10,5,6,8,7,4,12,2]=>[2,12,4,7,8,6,5,10,1,11,3,9]
[10,5,6,9,3,8,7,4,11,1,12,2]=>[2,12,1,11,4,7,8,3,9,6,5,10]
[11,1,10,5,6,9,3,8,7,4,12,2]=>[2,12,4,7,8,3,9,6,5,10,1,11]
[10,5,6,11,1,9,3,8,7,4,12,2]=>[2,12,4,7,8,3,9,1,11,6,5,10]
[8,10,5,6,9,3,7,4,11,1,12,2]=>[2,12,1,11,4,7,3,9,6,5,10,8]
[8,11,1,10,5,6,9,3,7,4,12,2]=>[2,12,4,7,3,9,6,5,10,1,11,8]
[8,10,5,6,11,1,9,3,7,4,12,2]=>[2,12,4,7,3,9,1,11,6,5,10,8]
[10,5,6,11,1,8,9,3,7,4,12,2]=>[2,12,4,7,3,9,8,1,11,6,5,10]
[5,9,3,10,6,8,7,4,11,1,12,2]=>[2,12,1,11,4,7,8,6,10,3,9,5]
[5,9,3,11,1,10,6,8,7,4,12,2]=>[2,12,4,7,8,6,10,1,11,3,9,5]
[5,10,6,9,3,8,7,4,11,1,12,2]=>[2,12,1,11,4,7,8,3,9,6,10,5]
[5,11,1,10,6,9,3,8,7,4,12,2]=>[2,12,4,7,8,3,9,6,10,1,11,5]
[5,10,6,11,1,9,3,8,7,4,12,2]=>[2,12,4,7,8,3,9,1,11,6,10,5]
[5,8,10,6,9,3,7,4,11,1,12,2]=>[2,12,1,11,4,7,3,9,6,10,8,5]
[5,8,11,1,10,6,9,3,7,4,12,2]=>[2,12,4,7,3,9,6,10,1,11,8,5]
[5,8,10,6,11,1,9,3,7,4,12,2]=>[2,12,4,7,3,9,1,11,6,10,8,5]
[5,10,6,11,1,8,9,3,7,4,12,2]=>[2,12,4,7,3,9,8,1,11,6,10,5]
[5,8,9,3,6,10,7,4,11,1,12,2]=>[2,12,1,11,4,7,10,6,3,9,8,5]
[5,8,9,3,6,11,1,10,7,4,12,2]=>[2,12,4,7,10,1,11,6,3,9,8,5]
[5,8,11,1,9,3,6,10,7,4,12,2]=>[2,12,4,7,10,6,3,9,1,11,8,5]
[5,11,1,8,9,3,6,10,7,4,12,2]=>[2,12,4,7,10,6,3,9,8,1,11,5]
[5,10,8,9,3,6,11,1,7,4,12,2]=>[2,12,4,7,1,11,6,3,9,8,10,5]
[7,5,8,6,10,4,11,1,12,3,9,2]=>[2,9,3,12,1,11,4,10,6,8,5,7]
[7,5,8,6,11,1,10,4,12,3,9,2]=>[2,9,3,12,4,10,1,11,6,8,5,7]
[7,5,10,4,11,1,12,3,8,6,9,2]=>[2,9,6,8,3,12,1,11,4,10,5,7]
[7,5,11,1,10,4,12,3,8,6,9,2]=>[2,9,6,8,3,12,4,10,1,11,5,7]
[7,5,12,3,8,6,10,4,11,1,9,2]=>[2,9,1,11,4,10,6,8,3,12,5,7]
[8,7,5,6,10,4,11,1,12,3,9,2]=>[2,9,3,12,1,11,4,10,6,5,7,8]
[8,7,5,6,11,1,10,4,12,3,9,2]=>[2,9,3,12,4,10,1,11,6,5,7,8]
[10,4,11,1,12,3,8,7,5,6,9,2]=>[2,9,6,5,7,8,3,12,1,11,4,10]
[11,1,10,4,12,3,8,7,5,6,9,2]=>[2,9,6,5,7,8,3,12,4,10,1,11]
[12,3,8,7,5,6,10,4,11,1,9,2]=>[2,9,1,11,4,10,6,5,7,8,3,12]
[8,10,4,11,1,12,3,7,5,6,9,2]=>[2,9,6,5,7,3,12,1,11,4,10,8]
[8,11,1,10,4,12,3,7,5,6,9,2]=>[2,9,6,5,7,3,12,4,10,1,11,8]
[8,12,3,7,5,6,10,4,11,1,9,2]=>[2,9,1,11,4,10,6,5,7,3,12,8]
[12,3,7,5,6,10,4,11,1,8,9,2]=>[2,9,8,1,11,4,10,6,5,7,3,12]
[8,6,10,5,7,4,11,1,12,3,9,2]=>[2,9,3,12,1,11,4,7,5,10,6,8]
[8,6,11,1,10,5,7,4,12,3,9,2]=>[2,9,3,12,4,7,5,10,1,11,6,8]
[10,5,7,4,11,1,12,3,8,6,9,2]=>[2,9,6,8,3,12,1,11,4,7,5,10]
[11,1,10,5,7,4,12,3,8,6,9,2]=>[2,9,6,8,3,12,4,7,5,10,1,11]
[12,3,8,6,10,5,7,4,11,1,9,2]=>[2,9,1,11,4,7,5,10,6,8,3,12]
[10,5,6,8,7,4,11,1,12,3,9,2]=>[2,9,3,12,1,11,4,7,8,6,5,10]
[11,1,10,5,6,8,7,4,12,3,9,2]=>[2,9,3,12,4,7,8,6,5,10,1,11]
[11,1,12,3,8,7,4,10,5,6,9,2]=>[2,9,6,5,10,4,7,8,3,12,1,11]
[12,3,8,7,4,11,1,10,5,6,9,2]=>[2,9,6,5,10,1,11,4,7,8,3,12]
[10,5,6,12,3,8,7,4,11,1,9,2]=>[2,9,1,11,4,7,8,3,12,6,5,10]
[8,11,1,12,3,7,4,10,5,6,9,2]=>[2,9,6,5,10,4,7,3,12,1,11,8]
[8,12,3,7,4,11,1,10,5,6,9,2]=>[2,9,6,5,10,1,11,4,7,3,12,8]
[8,10,5,6,12,3,7,4,11,1,9,2]=>[2,9,1,11,4,7,3,12,6,5,10,8]
[10,5,6,12,3,7,4,11,1,8,9,2]=>[2,9,8,1,11,4,7,3,12,6,5,10]
[5,10,6,8,7,4,11,1,12,3,9,2]=>[2,9,3,12,1,11,4,7,8,6,10,5]
[5,11,1,10,6,8,7,4,12,3,9,2]=>[2,9,3,12,4,7,8,6,10,1,11,5]
[5,11,1,12,3,8,7,4,10,6,9,2]=>[2,9,6,10,4,7,8,3,12,1,11,5]
[5,12,3,8,7,4,11,1,10,6,9,2]=>[2,9,6,10,1,11,4,7,8,3,12,5]
[5,10,6,12,3,8,7,4,11,1,9,2]=>[2,9,1,11,4,7,8,3,12,6,10,5]
[5,8,11,1,12,3,7,4,10,6,9,2]=>[2,9,6,10,4,7,3,12,1,11,8,5]
[5,8,12,3,7,4,11,1,10,6,9,2]=>[2,9,6,10,1,11,4,7,3,12,8,5]
[5,8,10,6,12,3,7,4,11,1,9,2]=>[2,9,1,11,4,7,3,12,6,10,8,5]
[5,10,6,12,3,7,4,11,1,8,9,2]=>[2,9,8,1,11,4,7,3,12,6,10,5]
[5,8,10,7,4,11,1,12,3,6,9,2]=>[2,9,6,3,12,1,11,4,7,10,8,5]
[5,8,11,1,10,7,4,12,3,6,9,2]=>[2,9,6,3,12,4,7,10,1,11,8,5]
[5,8,12,3,6,10,7,4,11,1,9,2]=>[2,9,1,11,4,7,10,6,3,12,8,5]
[5,12,3,6,10,7,4,11,1,8,9,2]=>[2,9,8,1,11,4,7,10,6,3,12,5]
[5,11,1,7,4,12,3,6,10,8,9,2]=>[2,9,8,10,6,3,12,4,7,1,11,5]
[8,6,11,1,12,4,10,5,7,3,9,2]=>[2,9,3,7,5,10,4,12,1,11,6,8]
[8,6,12,4,11,1,10,5,7,3,9,2]=>[2,9,3,7,5,10,1,11,4,12,6,8]
[11,1,12,4,10,5,7,3,8,6,9,2]=>[2,9,6,8,3,7,5,10,4,12,1,11]
[12,4,11,1,10,5,7,3,8,6,9,2]=>[2,9,6,8,3,7,5,10,1,11,4,12]
[10,5,7,3,8,6,12,4,11,1,9,2]=>[2,9,1,11,4,12,6,8,3,7,5,10]
[11,1,12,4,10,5,6,8,7,3,9,2]=>[2,9,3,7,8,6,5,10,4,12,1,11]
[12,4,11,1,10,5,6,8,7,3,9,2]=>[2,9,3,7,8,6,5,10,1,11,4,12]
[8,7,3,11,1,12,4,10,5,6,9,2]=>[2,9,6,5,10,4,12,1,11,3,7,8]
[8,7,3,12,4,11,1,10,5,6,9,2]=>[2,9,6,5,10,1,11,4,12,3,7,8]
[8,7,3,10,5,6,12,4,11,1,9,2]=>[2,9,1,11,4,12,6,5,10,3,7,8]
[7,3,8,11,1,12,4,10,5,6,9,2]=>[2,9,6,5,10,4,12,1,11,8,3,7]
[7,3,8,12,4,11,1,10,5,6,9,2]=>[2,9,6,5,10,1,11,4,12,8,3,7]
[7,3,8,10,5,6,12,4,11,1,9,2]=>[2,9,1,11,4,12,6,5,10,8,3,7]
[7,3,10,5,6,12,4,11,1,8,9,2]=>[2,9,8,1,11,4,12,6,5,10,3,7]
[5,11,1,12,4,10,6,8,7,3,9,2]=>[2,9,3,7,8,6,10,4,12,1,11,5]
[5,12,4,11,1,10,6,8,7,3,9,2]=>[2,9,3,7,8,6,10,1,11,4,12,5]
[5,8,7,3,11,1,12,4,10,6,9,2]=>[2,9,6,10,4,12,1,11,3,7,8,5]
[5,8,7,3,12,4,11,1,10,6,9,2]=>[2,9,6,10,1,11,4,12,3,7,8,5]
[5,8,7,3,10,6,12,4,11,1,9,2]=>[2,9,1,11,4,12,6,10,3,7,8,5]
[5,7,3,8,11,1,12,4,10,6,9,2]=>[2,9,6,10,4,12,1,11,8,3,7,5]
[5,7,3,8,12,4,11,1,10,6,9,2]=>[2,9,6,10,1,11,4,12,8,3,7,5]
[5,7,3,8,10,6,12,4,11,1,9,2]=>[2,9,1,11,4,12,6,10,8,3,7,5]
[5,7,3,10,6,12,4,11,1,8,9,2]=>[2,9,8,1,11,4,12,6,10,3,7,5]
[5,8,11,1,12,4,10,7,3,6,9,2]=>[2,9,6,3,7,10,4,12,1,11,8,5]
[5,8,12,4,11,1,10,7,3,6,9,2]=>[2,9,6,3,7,10,1,11,4,12,8,5]
[5,8,10,7,3,6,12,4,11,1,9,2]=>[2,9,1,11,4,12,6,3,7,10,8,5]
[5,10,7,3,6,12,4,11,1,8,9,2]=>[2,9,8,1,11,4,12,6,3,7,10,5]
[5,12,4,11,1,7,3,6,10,8,9,2]=>[2,9,8,10,6,3,7,1,11,4,12,5]
[11,1,12,5,4,10,6,8,7,3,9,2]=>[2,9,3,7,8,6,10,4,5,12,1,11]
[12,5,4,11,1,10,6,8,7,3,9,2]=>[2,9,3,7,8,6,10,1,11,4,5,12]
[8,7,3,11,1,12,5,4,10,6,9,2]=>[2,9,6,10,4,5,12,1,11,3,7,8]
[8,7,3,12,5,4,11,1,10,6,9,2]=>[2,9,6,10,1,11,4,5,12,3,7,8]
[8,7,3,10,6,12,5,4,11,1,9,2]=>[2,9,1,11,4,5,12,6,10,3,7,8]
[7,3,8,11,1,12,5,4,10,6,9,2]=>[2,9,6,10,4,5,12,1,11,8,3,7]
[7,3,8,12,5,4,11,1,10,6,9,2]=>[2,9,6,10,1,11,4,5,12,8,3,7]
[7,3,8,10,6,12,5,4,11,1,9,2]=>[2,9,1,11,4,5,12,6,10,8,3,7]
[7,3,10,6,12,5,4,11,1,8,9,2]=>[2,9,8,1,11,4,5,12,6,10,3,7]
[8,11,1,12,5,4,10,7,3,6,9,2]=>[2,9,6,3,7,10,4,5,12,1,11,8]
[8,12,5,4,11,1,10,7,3,6,9,2]=>[2,9,6,3,7,10,1,11,4,5,12,8]
[8,10,7,3,6,12,5,4,11,1,9,2]=>[2,9,1,11,4,5,12,6,3,7,10,8]
[10,7,3,6,12,5,4,11,1,8,9,2]=>[2,9,8,1,11,4,5,12,6,3,7,10]
[12,5,4,11,1,7,3,6,10,8,9,2]=>[2,9,8,10,6,3,7,1,11,4,5,12]
[8,10,7,3,5,4,11,1,12,6,9,2]=>[2,9,6,12,1,11,4,5,3,7,10,8]
[8,11,1,10,7,3,5,4,12,6,9,2]=>[2,9,6,12,4,5,3,7,10,1,11,8]
[8,12,6,10,7,3,5,4,11,1,9,2]=>[2,9,1,11,4,5,3,7,10,6,12,8]
[12,6,10,7,3,5,4,11,1,8,9,2]=>[2,9,8,1,11,4,5,3,7,10,6,12]
[11,1,7,3,5,4,12,6,10,8,9,2]=>[2,9,8,10,6,12,4,5,3,7,1,11]
[12,7,3,5,4,11,1,6,10,8,9,2]=>[2,9,8,10,6,1,11,4,5,3,7,12]
[2,1,4,3,6,5,11,9,12,7,8,10]=>[10,8,7,12,9,11,5,6,3,4,1,2]
[2,1,4,3,9,7,10,5,6,8,12,11]=>[11,12,8,6,5,10,7,9,3,4,1,2]
[2,1,4,3,11,7,9,12,5,6,8,10]=>[10,8,6,5,12,9,7,11,3,4,1,2]
[2,1,4,3,10,7,11,5,6,12,8,9]=>[9,8,12,6,5,11,7,10,3,4,1,2]
[2,1,4,3,11,5,8,9,12,6,7,10]=>[10,7,6,12,9,8,5,11,3,4,1,2]
[2,1,4,3,10,8,5,11,6,7,12,9]=>[9,12,7,6,11,5,8,10,3,4,1,2]
[2,1,5,3,6,4,11,9,12,7,8,10]=>[10,8,7,12,9,11,4,6,3,5,1,2]
[2,1,7,5,8,3,4,6,10,9,12,11]=>[11,12,9,10,6,4,3,8,5,7,1,2]
[2,1,7,5,8,3,4,6,11,9,12,10]=>[10,12,9,11,6,4,3,8,5,7,1,2]
[2,1,9,5,7,10,3,4,6,8,12,11]=>[11,12,8,6,4,3,10,7,5,9,1,2]
[2,1,11,5,7,9,3,12,4,6,8,10]=>[10,8,6,4,12,3,9,7,5,11,1,2]
[2,1,10,5,7,11,3,4,6,12,8,9]=>[9,8,12,6,4,3,11,7,5,10,1,2]
[2,1,8,5,9,3,4,10,6,7,12,11]=>[11,12,7,6,10,4,3,9,5,8,1,2]
[2,1,11,5,8,3,9,12,4,6,7,10]=>[10,7,6,4,12,9,3,8,5,11,1,2]
[2,1,10,5,8,11,3,12,4,6,7,9]=>[9,7,6,4,12,3,11,8,5,10,1,2]
[2,1,9,5,10,3,4,6,11,12,7,8]=>[8,7,12,11,6,4,3,10,5,9,1,2]
[2,1,9,3,6,7,10,4,5,8,12,11]=>[11,12,8,5,4,10,7,6,3,9,1,2]
[2,1,11,3,6,7,9,12,4,5,8,10]=>[10,8,5,4,12,9,7,6,3,11,1,2]
[2,1,10,3,6,7,11,4,5,12,8,9]=>[9,8,12,5,4,11,7,6,3,10,1,2]
[2,1,8,6,3,9,4,5,10,7,12,11]=>[11,12,7,10,5,4,9,3,6,8,1,2]
[2,1,11,6,3,8,9,4,12,5,7,10]=>[10,7,5,12,4,9,8,3,6,11,1,2]
[2,1,10,8,6,11,3,4,5,7,12,9]=>[9,12,7,5,4,3,11,6,8,10,1,2]
[2,1,9,6,3,10,4,5,11,7,12,8]=>[8,12,7,11,5,4,10,3,6,9,1,2]
[2,1,11,3,4,7,8,9,12,5,6,10]=>[10,6,5,12,9,8,7,4,3,11,1,2]
[2,1,10,3,7,4,8,11,5,6,12,9]=>[9,12,6,5,11,8,4,7,3,10,1,2]
[2,1,9,7,3,4,10,5,6,11,12,8]=>[8,12,11,6,5,10,4,3,7,9,1,2]
[3,1,4,2,6,5,11,9,12,7,8,10]=>[10,8,7,12,9,11,5,6,2,4,1,3]
[3,1,4,2,9,7,10,5,6,8,12,11]=>[11,12,8,6,5,10,7,9,2,4,1,3]
[3,1,4,2,11,7,9,12,5,6,8,10]=>[10,8,6,5,12,9,7,11,2,4,1,3]
[3,1,4,2,10,7,11,5,6,12,8,9]=>[9,8,12,6,5,11,7,10,2,4,1,3]
[3,1,4,2,11,5,8,9,12,6,7,10]=>[10,7,6,12,9,8,5,11,2,4,1,3]
[3,1,4,2,10,8,5,11,6,7,12,9]=>[9,12,7,6,11,5,8,10,2,4,1,3]
[5,3,6,1,2,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,2,1,6,3,5]
[5,3,6,1,2,4,8,7,11,9,12,10]=>[10,12,9,11,7,8,4,2,1,6,3,5]
[5,3,6,1,2,4,9,7,10,8,12,11]=>[11,12,8,10,7,9,4,2,1,6,3,5]
[5,3,6,1,2,4,11,9,12,7,8,10]=>[10,8,7,12,9,11,4,2,1,6,3,5]
[5,3,6,1,2,4,10,7,8,11,12,9]=>[9,12,11,8,7,10,4,2,1,6,3,5]
[7,3,5,8,1,2,4,6,10,9,12,11]=>[11,12,9,10,6,4,2,1,8,5,3,7]
[7,3,5,8,1,2,4,6,11,9,12,10]=>[10,12,9,11,6,4,2,1,8,5,3,7]
[9,3,5,7,1,10,2,4,6,8,12,11]=>[11,12,8,6,4,2,10,1,7,5,3,9]
[11,3,5,7,1,9,2,12,4,6,8,10]=>[10,8,6,4,12,2,9,1,7,5,3,11]
[10,3,5,7,1,11,2,4,6,12,8,9]=>[9,8,12,6,4,2,11,1,7,5,3,10]
[8,3,5,9,1,2,4,10,6,7,12,11]=>[11,12,7,6,10,4,2,1,9,5,3,8]
[11,3,5,8,1,2,9,12,4,6,7,10]=>[10,7,6,4,12,9,2,1,8,5,3,11]
[10,3,5,8,1,11,2,12,4,6,7,9]=>[9,7,6,4,12,2,11,1,8,5,3,10]
[9,3,5,10,1,2,4,6,11,12,7,8]=>[8,7,12,11,6,4,2,1,10,5,3,9]
[6,3,7,1,2,8,4,5,10,9,12,11]=>[11,12,9,10,5,4,8,2,1,7,3,6]
[6,3,7,1,2,8,4,5,11,9,12,10]=>[10,12,9,11,5,4,8,2,1,7,3,6]
[9,3,6,1,7,10,2,4,5,8,12,11]=>[11,12,8,5,4,2,10,7,1,6,3,9]
[11,3,6,1,7,9,2,12,4,5,8,10]=>[10,8,5,4,12,2,9,7,1,6,3,11]
[10,3,6,1,7,11,2,4,5,12,8,9]=>[9,8,12,5,4,2,11,7,1,6,3,10]
[8,3,6,9,1,10,2,4,5,7,12,11]=>[11,12,7,5,4,2,10,1,9,6,3,8]
[11,3,6,8,1,9,12,2,4,5,7,10]=>[10,7,5,4,2,12,9,1,8,6,3,11]
[10,3,8,6,11,12,1,2,4,5,7,9]=>[9,7,5,4,2,1,12,11,6,8,3,10]
[9,3,6,10,1,11,2,4,12,5,7,8]=>[8,7,5,12,4,2,11,1,10,6,3,9]
[7,3,8,1,2,4,9,10,5,6,12,11]=>[11,12,6,5,10,9,4,2,1,8,3,7]
[11,3,7,1,2,8,9,12,4,5,6,10]=>[10,6,5,4,12,9,8,2,1,7,3,11]
[10,3,7,1,8,2,11,12,4,5,6,9]=>[9,6,5,4,12,11,2,8,1,7,3,10]
[9,3,7,10,1,2,11,4,5,12,6,8]=>[8,6,12,5,4,11,2,1,10,7,3,9]
[8,3,9,1,2,4,5,10,11,12,6,7]=>[7,6,12,11,10,5,4,2,1,9,3,8]
[4,1,2,5,6,3,11,9,12,7,8,10]=>[10,8,7,12,9,11,3,6,5,2,1,4]
[7,1,4,5,8,2,3,6,10,9,12,11]=>[11,12,9,10,6,3,2,8,5,4,1,7]
[7,1,4,5,8,2,3,6,11,9,12,10]=>[10,12,9,11,6,3,2,8,5,4,1,7]
[9,1,4,5,7,10,2,3,6,8,12,11]=>[11,12,8,6,3,2,10,7,5,4,1,9]
[11,1,4,5,7,9,2,12,3,6,8,10]=>[10,8,6,3,12,2,9,7,5,4,1,11]
[10,1,4,5,7,11,2,3,6,12,8,9]=>[9,8,12,6,3,2,11,7,5,4,1,10]
[8,1,4,5,9,2,3,10,6,7,12,11]=>[11,12,7,6,10,3,2,9,5,4,1,8]
[11,1,4,5,8,2,9,12,3,6,7,10]=>[10,7,6,3,12,9,2,8,5,4,1,11]
[10,1,4,5,8,11,2,12,3,6,7,9]=>[9,7,6,3,12,2,11,8,5,4,1,10]
[9,1,4,5,10,2,3,6,11,12,7,8]=>[8,7,12,11,6,3,2,10,5,4,1,9]
[6,4,1,7,2,3,8,5,10,9,12,11]=>[11,12,9,10,5,8,3,2,7,1,4,6]
[6,4,1,7,2,3,8,5,11,9,12,10]=>[10,12,9,11,5,8,3,2,7,1,4,6]
[9,4,1,6,7,2,10,3,5,8,12,11]=>[11,12,8,5,3,10,2,7,6,1,4,9]
[11,4,1,6,7,2,9,12,3,5,8,10]=>[10,8,5,3,12,9,2,7,6,1,4,11]
[10,4,1,6,7,2,11,3,5,12,8,9]=>[9,8,12,5,3,11,2,7,6,1,4,10]
[8,6,4,9,1,2,3,5,10,7,12,11]=>[11,12,7,10,5,3,2,1,9,4,6,8]
[11,6,4,8,1,2,9,3,12,5,7,10]=>[10,7,5,12,3,9,2,1,8,4,6,11]
[10,8,4,6,11,1,2,3,5,7,12,9]=>[9,12,7,5,3,2,1,11,6,4,8,10]
[9,6,4,10,1,2,3,5,11,7,12,8]=>[8,12,7,11,5,3,2,1,10,4,6,9]
[7,4,1,8,2,3,9,5,10,6,12,11]=>[11,12,6,10,5,9,3,2,8,1,4,7]
[11,4,1,7,2,8,9,3,12,5,6,10]=>[10,6,5,12,3,9,8,2,7,1,4,11]
[10,4,1,7,8,2,11,3,5,6,12,9]=>[9,12,6,5,3,11,2,8,7,1,4,10]
[9,7,4,10,1,2,11,3,5,6,12,8]=>[8,12,6,5,3,11,2,1,10,4,7,9]
[8,4,1,9,2,3,5,10,11,6,12,7]=>[7,12,6,11,10,5,3,2,9,1,4,8]
[9,1,2,5,6,7,10,3,4,8,12,11]=>[11,12,8,4,3,10,7,6,5,2,1,9]
[11,1,2,5,6,7,9,12,3,4,8,10]=>[10,8,4,3,12,9,7,6,5,2,1,11]
[10,1,2,5,6,7,11,3,4,12,8,9]=>[9,8,12,4,3,11,7,6,5,2,1,10]
[8,1,5,2,6,9,3,4,10,7,12,11]=>[11,12,7,10,4,3,9,6,2,5,1,8]
[11,1,5,2,6,8,9,3,12,4,7,10]=>[10,7,4,12,3,9,8,6,2,5,1,11]
[10,1,8,5,6,11,2,3,4,7,12,9]=>[9,12,7,4,3,2,11,6,5,8,1,10]
[9,1,5,2,6,10,3,4,11,7,12,8]=>[8,12,7,11,4,3,10,6,2,5,1,9]
[7,5,1,2,8,3,4,9,10,6,12,11]=>[11,12,6,10,9,4,3,8,2,1,5,7]
[11,5,1,2,7,8,3,9,12,4,6,10]=>[10,6,4,12,9,3,8,7,2,1,5,11]
[10,7,1,5,8,2,3,11,4,6,12,9]=>[9,12,6,4,11,3,2,8,5,1,7,10]
[9,7,5,1,10,2,3,4,6,11,12,8]=>[8,12,11,6,4,3,2,10,1,5,7,9]
[8,5,1,2,9,3,4,10,6,11,12,7]=>[7,12,11,6,10,4,3,9,2,1,5,8]
[11,1,2,3,6,7,8,9,12,4,5,10]=>[10,5,4,12,9,8,7,6,3,2,1,11]
[10,1,2,6,3,7,8,11,4,5,12,9]=>[9,12,5,4,11,8,7,3,6,2,1,10]
[9,1,6,2,3,7,10,4,5,11,12,8]=>[8,12,11,5,4,10,7,3,2,6,1,9]
[8,6,1,2,3,9,4,5,10,11,12,7]=>[7,12,11,10,5,4,9,3,2,1,6,8]
[7,5,8,6,12,4,10,1,11,3,9,2]=>[2,9,3,11,1,10,4,12,6,8,5,7]
[10,6,8,3,9,5,7,4,11,1,12,2]=>[2,12,1,11,4,7,5,9,3,8,6,10]
[11,3,9,5,7,4,10,1,12,6,8,2]=>[2,8,6,12,1,10,4,7,5,9,3,11]
[10,4,11,5,7,3,9,1,12,6,8,2]=>[2,8,6,12,1,9,3,7,5,11,4,10]
[6,5,7,8,9,3,10,4,11,1,12,2]=>[2,12,1,11,4,10,3,9,8,7,5,6]
[6,5,7,8,12,4,10,1,11,3,9,2]=>[2,9,3,11,1,10,4,12,8,7,5,6]
[7,10,8,3,9,5,6,4,11,1,12,2]=>[2,12,1,11,4,6,5,9,3,8,10,7]
[7,11,3,9,5,6,4,10,1,12,8,2]=>[2,8,12,1,10,4,6,5,9,3,11,7]
[7,10,4,11,5,6,3,9,1,12,8,2]=>[2,8,12,1,9,3,6,5,11,4,10,7]
[5,9,7,3,10,8,6,4,11,1,12,2]=>[2,12,1,11,4,6,8,10,3,7,9,5]
[5,12,8,6,4,10,1,11,3,9,7,2]=>[2,7,9,3,11,1,10,4,6,8,12,5]
[5,10,4,12,8,6,3,9,1,11,7,2]=>[2,7,11,1,9,3,6,8,12,4,10,5]
[10,6,3,9,5,4,12,8,1,11,7,2]=>[2,7,11,1,8,12,4,5,9,3,6,10]
[10,4,7,5,9,3,8,6,11,1,12,2]=>[2,12,1,11,6,8,3,9,5,7,4,10]
[11,3,8,6,10,1,12,4,7,5,9,2]=>[2,9,5,7,4,12,1,10,6,8,3,11]
[7,4,8,3,9,5,10,6,11,1,12,2]=>[2,12,1,11,6,10,5,9,3,8,4,7]
[7,4,9,5,12,6,10,1,11,3,8,2]=>[2,8,3,11,1,10,6,12,5,9,4,7]
[11,5,9,1,12,6,10,4,7,3,8,2]=>[2,8,3,7,4,10,6,12,1,9,5,11]
[7,10,4,6,5,9,3,8,11,1,12,2]=>[2,12,1,11,8,3,9,5,6,4,10,7]
[7,11,3,8,10,1,12,4,6,5,9,2]=>[2,9,5,6,4,12,1,10,8,3,11,7]
[6,4,7,8,3,9,5,10,11,1,12,2]=>[2,12,1,11,10,5,9,3,8,7,4,6]
[6,4,7,9,5,12,10,1,11,3,8,2]=>[2,8,3,11,1,10,12,5,9,7,4,6]
[7,11,5,9,1,12,10,4,6,3,8,2]=>[2,8,3,6,4,10,12,1,9,5,11,7]
[9,7,3,8,6,4,5,10,11,1,12,2]=>[2,12,1,11,10,5,4,6,8,3,7,9]
[12,10,1,11,3,8,6,4,5,9,7,2]=>[2,7,9,5,4,6,8,3,11,1,10,12]
[8,6,3,12,10,4,5,9,1,11,7,2]=>[2,7,11,1,9,5,4,10,12,3,6,8]
[4,9,5,12,10,6,3,8,1,11,7,2]=>[2,7,11,1,8,3,6,10,12,5,9,4]
[5,9,3,7,10,4,6,8,11,1,12,2]=>[2,12,1,11,8,6,4,10,7,3,9,5]
[5,12,4,6,8,10,1,11,3,7,9,2]=>[2,9,7,3,11,1,10,8,6,4,12,5]
[9,5,4,6,8,3,7,10,11,1,12,2]=>[2,12,1,11,10,7,3,8,6,4,5,9]
[12,10,1,11,3,7,9,5,4,6,8,2]=>[2,8,6,4,5,9,7,3,11,1,10,12]
[11,5,3,7,9,1,12,10,4,6,8,2]=>[2,8,6,4,10,12,1,9,7,3,5,11]
[5,4,7,3,8,6,9,10,11,1,12,2]=>[2,12,1,11,10,9,6,8,3,7,4,5]
[5,4,8,6,9,12,10,1,11,3,7,2]=>[2,7,3,11,1,10,12,9,6,8,4,5]
[8,6,11,9,1,12,10,4,5,3,7,2]=>[2,7,3,5,4,10,12,1,9,11,6,8]
[4,12,10,6,8,1,11,9,5,3,7,2]=>[2,7,3,5,9,11,1,8,6,10,12,4]
[5,4,6,3,7,8,9,10,11,1,12,2]=>[2,12,1,11,10,9,8,7,3,6,4,5]
[5,4,7,8,9,12,10,1,11,3,6,2]=>[2,6,3,11,1,10,12,9,8,7,4,5]
[7,8,11,9,1,12,10,4,5,3,6,2]=>[2,6,3,5,4,10,12,1,9,11,8,7]
[4,7,12,10,8,1,11,9,5,3,6,2]=>[2,6,3,5,9,11,1,8,10,12,7,4]
[4,5,3,11,9,7,1,12,10,8,6,2]=>[2,6,8,10,12,1,7,9,11,3,5,4]
[7,5,8,6,12,2,9,3,11,1,10,4]=>[4,10,1,11,3,9,2,12,6,8,5,7]
[7,5,8,6,9,2,10,1,11,3,12,4]=>[4,12,3,11,1,10,2,9,6,8,5,7]
[11,1,10,6,8,3,12,2,9,5,7,4]=>[4,7,5,9,2,12,3,8,6,10,1,11]
[10,1,11,3,12,6,8,2,9,5,7,4]=>[4,7,5,9,2,8,6,12,3,11,1,10]
[11,5,7,3,12,6,8,2,9,1,10,4]=>[4,10,1,9,2,8,6,12,3,7,5,11]
[6,5,7,8,12,2,9,3,11,1,10,4]=>[4,10,1,11,3,9,2,12,8,7,5,6]
[6,5,7,8,9,2,10,1,11,3,12,4]=>[4,12,3,11,1,10,2,9,8,7,5,6]
[7,11,1,10,8,3,12,2,9,5,6,4]=>[4,6,5,9,2,12,3,8,10,1,11,7]
[7,10,1,11,3,12,8,2,9,5,6,4]=>[4,6,5,9,2,8,12,3,11,1,10,7]
[7,11,5,6,3,12,8,2,9,1,10,4]=>[4,10,1,9,2,8,12,3,6,5,11,7]
[5,12,2,9,7,3,11,1,10,8,6,4]=>[4,6,8,10,1,11,3,7,9,2,12,5]
[5,9,7,2,10,1,11,3,12,8,6,4]=>[4,6,8,12,3,11,1,10,2,7,9,5]
[5,12,8,6,3,11,7,2,9,1,10,4]=>[4,10,1,9,2,7,11,3,6,8,12,5]
[12,8,1,10,6,3,11,7,2,9,5,4]=>[4,5,9,2,7,11,3,6,10,1,8,12]
[11,1,10,4,7,5,9,3,12,2,8,6]=>[6,8,2,12,3,9,5,7,4,10,1,11]
[10,1,11,3,12,4,7,5,9,2,8,6]=>[6,8,2,9,5,7,4,12,3,11,1,10]
[7,4,9,5,12,2,8,3,11,1,10,6]=>[6,10,1,11,3,8,2,12,5,9,4,7]
[7,4,8,2,9,5,10,1,11,3,12,6]=>[6,12,3,11,1,10,5,9,2,8,4,7]
[8,2,11,5,9,1,10,4,7,3,12,6]=>[6,12,3,7,4,10,1,9,5,11,2,8]
[7,11,1,10,4,6,5,9,3,12,2,8]=>[8,2,12,3,9,5,6,4,10,1,11,7]
[7,10,1,11,3,12,4,6,5,9,2,8]=>[8,2,9,5,6,4,12,3,11,1,10,7]
[6,4,7,9,5,12,2,8,3,11,1,10]=>[10,1,11,3,8,2,12,5,9,7,4,6]
[6,4,7,8,2,9,5,10,1,11,3,12]=>[12,3,11,1,10,5,9,2,8,7,4,6]
[7,8,2,11,5,9,1,10,4,6,3,12]=>[12,3,6,4,10,1,9,5,11,2,8,7]
[12,2,8,6,4,5,9,7,3,11,1,10]=>[10,1,11,3,7,9,5,4,6,8,2,12]
[9,7,2,8,6,4,5,10,1,11,3,12]=>[12,3,11,1,10,5,4,6,8,2,7,9]
[10,4,5,9,1,11,7,2,8,6,3,12]=>[12,3,6,8,2,7,11,1,9,5,4,10]
[4,9,5,11,7,2,8,1,10,6,3,12]=>[12,3,6,10,1,8,2,7,11,5,9,4]
[5,12,2,7,9,3,11,1,10,4,6,8]=>[8,6,4,10,1,11,3,9,7,2,12,5]
[5,9,2,7,10,1,11,3,12,4,6,8]=>[8,6,4,12,3,11,1,10,7,2,9,5]
[12,2,7,9,5,4,6,8,3,11,1,10]=>[10,1,11,3,8,6,4,5,9,7,2,12]
[9,5,4,6,8,2,7,10,1,11,3,12]=>[12,3,11,1,10,7,2,8,6,4,5,9]
[10,4,6,8,2,7,9,1,11,5,3,12]=>[12,3,5,11,1,9,7,2,8,6,4,10]
[5,4,8,6,9,12,2,7,3,11,1,10]=>[10,1,11,3,7,2,12,9,6,8,4,5]
[5,4,7,2,8,6,9,10,1,11,3,12]=>[12,3,11,1,10,9,6,8,2,7,4,5]
[7,2,8,6,11,9,1,10,4,5,3,12]=>[12,3,5,4,10,1,9,11,6,8,2,7]
[4,7,2,10,6,8,1,11,9,5,3,12]=>[12,3,5,9,11,1,8,6,10,2,7,4]
[5,4,7,8,9,12,2,6,3,11,1,10]=>[10,1,11,3,6,2,12,9,8,7,4,5]
[5,4,6,2,7,8,9,10,1,11,3,12]=>[12,3,11,1,10,9,8,7,2,6,4,5]
[6,2,7,8,11,9,1,10,4,5,3,12]=>[12,3,5,4,10,1,9,11,8,7,2,6]
[4,6,2,7,10,8,1,11,9,5,3,12]=>[12,3,5,9,11,1,8,10,7,2,6,4]
[4,11,9,7,1,10,8,6,2,5,3,12]=>[12,3,5,2,6,8,10,1,7,9,11,4]
[10,4,11,1,9,3,7,5,12,2,8,6]=>[6,8,2,12,5,7,3,9,1,11,4,10]
[11,3,7,5,12,4,10,1,9,2,8,6]=>[6,8,2,9,1,10,4,12,5,7,3,11]
[11,1,9,5,12,2,8,3,7,4,10,6]=>[6,10,4,7,3,8,2,12,5,9,1,11]
[8,2,11,3,7,4,10,1,9,5,12,6]=>[6,12,5,9,1,10,4,7,3,11,2,8]
[7,3,8,2,9,1,10,4,11,5,12,6]=>[6,12,5,11,4,10,1,9,2,8,3,7]
[7,10,4,11,1,9,3,6,5,12,2,8]=>[8,2,12,5,6,3,9,1,11,4,10,7]
[7,11,3,6,5,12,4,10,1,9,2,8]=>[8,2,9,1,10,4,12,5,6,3,11,7]
[7,11,1,9,5,12,2,8,3,6,4,10]=>[10,4,6,3,8,2,12,5,9,1,11,7]
[7,8,2,11,3,6,4,10,1,9,5,12]=>[12,5,9,1,10,4,6,3,11,2,8,7]
[6,3,7,8,2,9,1,10,4,11,5,12]=>[12,5,11,4,10,1,9,2,8,7,3,6]
[11,1,9,7,3,5,12,2,8,6,4,10]=>[10,4,6,8,2,12,5,3,7,9,1,11]
[10,1,9,7,2,8,6,4,11,3,5,12]=>[12,5,3,11,4,6,8,2,7,9,1,10]
[9,1,10,4,11,7,2,8,6,3,5,12]=>[12,5,3,6,8,2,7,11,4,10,1,9]
[10,6,3,4,11,7,2,8,1,9,5,12]=>[12,5,9,1,8,2,7,11,4,3,6,10]
[5,10,4,12,2,7,11,1,9,3,6,8]=>[8,6,3,9,1,11,7,2,12,4,10,5]
[5,12,4,10,1,9,2,7,11,3,6,8]=>[8,6,3,11,7,2,9,1,10,4,12,5]
[8,3,6,12,2,7,11,1,9,5,4,10]=>[10,4,5,9,1,11,7,2,12,6,3,8]
[10,1,9,5,4,11,3,6,8,2,7,12]=>[12,7,2,8,6,3,11,4,5,9,1,10]
[9,1,10,4,11,5,3,6,8,2,7,12]=>[12,7,2,8,6,3,5,11,4,10,1,9]
[8,6,11,1,9,12,2,7,3,5,4,10]=>[10,4,5,3,7,2,12,9,1,11,6,8]
[7,2,8,6,11,3,5,4,10,1,9,12]=>[12,9,1,10,4,5,3,11,6,8,2,7]
[5,3,7,2,8,6,9,1,10,4,11,12]=>[12,11,4,10,1,9,6,8,2,7,3,5]
[7,2,10,6,8,1,9,5,3,4,11,12]=>[12,11,4,3,5,9,1,8,6,10,2,7]
[7,8,11,1,9,12,2,6,3,5,4,10]=>[10,4,5,3,6,2,12,9,1,11,8,7]
[6,2,7,8,11,3,5,4,10,1,9,12]=>[12,9,1,10,4,5,3,11,8,7,2,6]
[5,3,6,2,7,8,9,1,10,4,11,12]=>[12,11,4,10,1,9,8,7,2,6,3,5]
[6,2,7,10,8,1,9,5,3,4,11,12]=>[12,11,4,3,5,9,1,8,10,7,2,6]
[9,7,1,10,8,6,2,5,3,4,11,12]=>[12,11,4,3,5,2,6,8,10,1,7,9]
[10,4,5,9,3,6,12,2,7,11,1,8]=>[8,1,11,7,2,12,6,3,9,5,4,10]
[12,4,5,9,2,7,11,3,6,10,1,8]=>[8,1,10,6,3,11,7,2,9,5,4,12]
[4,9,5,12,2,7,11,1,8,3,6,10]=>[10,6,3,8,1,11,7,2,12,5,9,4]
[4,9,5,11,3,6,10,1,8,2,7,12]=>[12,7,2,8,1,10,6,3,11,5,9,4]
[10,4,3,6,11,5,9,1,8,2,7,12]=>[12,7,2,8,1,9,5,11,6,3,4,10]
[4,12,2,7,3,5,9,11,1,8,6,10]=>[10,6,8,1,11,9,5,3,7,2,12,4]
[4,7,2,10,1,8,6,11,3,5,9,12]=>[12,9,5,3,11,6,8,1,10,2,7,4]
[7,2,10,4,3,5,9,1,8,6,11,12]=>[12,11,6,8,1,9,5,3,4,10,2,7]
[4,3,7,2,8,1,9,5,10,6,11,12]=>[12,11,6,10,5,9,1,8,2,7,3,4]
[4,7,12,2,6,3,5,9,11,1,8,10]=>[10,8,1,11,9,5,3,6,2,12,7,4]
[4,6,2,7,10,1,8,11,3,5,9,12]=>[12,9,5,3,11,8,1,10,7,2,6,4]
[6,2,7,10,4,3,5,9,1,8,11,12]=>[12,11,8,1,9,5,3,4,10,7,2,6]
[4,3,6,2,7,8,1,9,5,10,11,12]=>[12,11,10,5,9,1,8,7,2,6,3,4]
[4,3,9,7,1,8,6,2,5,10,11,12]=>[12,11,10,5,2,6,8,1,7,9,3,4]
[4,5,3,11,1,7,9,12,2,6,8,10]=>[10,8,6,2,12,9,7,1,11,3,5,4]
[4,11,3,5,2,6,8,10,1,7,9,12]=>[12,9,7,1,10,8,6,2,5,3,11,4]
[9,1,7,10,4,3,5,2,6,8,11,12]=>[12,11,8,6,2,5,3,4,10,7,1,9]
[4,3,9,5,2,6,8,1,7,10,11,12]=>[12,11,10,7,1,8,6,2,5,9,3,4]
[4,3,5,2,7,1,8,6,9,10,11,12]=>[12,11,10,9,6,8,1,7,2,5,3,4]
[12,9,7,11,6,4,2,1,3,8,10,5]=>[5,10,8,3,1,2,4,6,11,7,9,12]
[12,10,7,5,9,4,2,1,6,8,3,11]=>[11,3,8,6,1,2,4,9,5,7,10,12]
[12,9,7,5,11,4,2,1,6,8,10,3]=>[3,10,8,6,1,2,4,11,5,7,9,12]
[12,11,10,7,5,9,4,2,1,6,8,3]=>[3,8,6,1,2,4,9,5,7,10,11,12]
[12,8,11,10,5,7,4,2,1,9,6,3]=>[3,6,9,1,2,4,7,5,10,11,8,12]
[12,9,7,11,6,5,4,2,1,8,10,3]=>[3,10,8,1,2,4,5,6,11,7,9,12]
[12,9,6,11,8,5,7,2,1,4,10,3]=>[3,10,4,1,2,7,5,8,11,6,9,12]
[12,8,6,11,10,5,7,2,1,9,4,3]=>[3,4,9,1,2,7,5,10,11,6,8,12]
[12,9,7,11,6,4,3,2,1,8,10,5]=>[5,10,8,1,2,3,4,6,11,7,9,12]
[12,10,8,5,3,7,2,4,6,1,9,11]=>[11,9,1,6,4,2,7,3,5,8,10,12]
[12,11,10,8,5,3,7,2,4,6,1,9]=>[9,1,6,4,2,7,3,5,8,10,11,12]
[12,10,7,5,3,9,2,4,6,8,1,11]=>[11,1,8,6,4,2,9,3,5,7,10,12]
[12,9,7,5,3,11,2,4,6,8,10,1]=>[1,10,8,6,4,2,11,3,5,7,9,12]
[12,11,10,7,5,3,9,2,4,6,8,1]=>[1,8,6,4,2,9,3,5,7,10,11,12]
[12,10,9,8,5,3,7,2,4,6,1,11]=>[11,1,6,4,2,7,3,5,8,9,10,12]
[12,9,11,8,5,3,7,2,4,6,10,1]=>[1,10,6,4,2,7,3,5,8,11,9,12]
[12,8,11,10,5,3,7,2,4,9,6,1]=>[1,6,9,4,2,7,3,5,10,11,8,12]
[12,11,10,9,8,5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5,8,9,10,11,12]
[12,9,7,11,6,3,5,2,4,8,10,1]=>[1,10,8,4,2,5,3,6,11,7,9,12]
[12,10,6,9,8,3,5,2,7,4,1,11]=>[11,1,4,7,2,5,3,8,9,6,10,12]
[12,9,6,11,8,3,5,2,7,4,10,1]=>[1,10,4,7,2,5,3,8,11,6,9,12]
[12,8,6,11,10,3,5,2,7,9,4,1]=>[1,4,9,7,2,5,3,10,11,6,8,12]
[12,11,10,6,9,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,9,6,10,11,12]
[12,7,11,10,9,6,3,8,2,5,4,1]=>[1,4,5,2,8,3,6,9,10,11,7,12]
[12,10,7,5,9,4,3,2,6,8,1,11]=>[11,1,8,6,2,3,4,9,5,7,10,12]
[12,9,7,5,11,4,3,2,6,8,10,1]=>[1,10,8,6,2,3,4,11,5,7,9,12]
[12,11,10,7,5,9,4,3,2,6,8,1]=>[1,8,6,2,3,4,9,5,7,10,11,12]
[12,8,11,10,5,7,4,3,2,9,6,1]=>[1,6,9,2,3,4,7,5,10,11,8,12]
[12,10,7,4,9,6,3,5,2,8,1,11]=>[11,1,8,2,5,3,6,9,4,7,10,12]
[12,9,7,4,11,6,3,5,2,8,10,1]=>[1,10,8,2,5,3,6,11,4,7,9,12]
[12,11,10,7,4,9,6,3,5,2,8,1]=>[1,8,2,5,3,6,9,4,7,10,11,12]
[12,10,6,4,9,8,3,5,7,2,1,11]=>[11,1,2,7,5,3,8,9,4,6,10,12]
[12,9,6,4,11,8,3,5,7,2,10,1]=>[1,10,2,7,5,3,8,11,4,6,9,12]
[12,8,6,4,11,10,3,5,7,9,2,1]=>[1,2,9,7,5,3,10,11,4,6,8,12]
[12,11,10,6,4,9,8,3,5,7,2,1]=>[1,2,7,5,3,8,9,4,6,10,11,12]
[12,7,11,10,4,9,6,3,8,5,2,1]=>[1,2,5,8,3,6,9,4,10,11,7,12]
[12,9,7,11,6,5,4,3,2,8,10,1]=>[1,10,8,2,3,4,5,6,11,7,9,12]
[12,9,6,11,8,5,4,3,7,2,10,1]=>[1,10,2,7,3,4,5,8,11,6,9,12]
[12,8,6,11,10,5,4,3,7,9,2,1]=>[1,2,9,7,3,4,5,10,11,6,8,12]
[12,9,5,11,8,7,4,6,3,2,10,1]=>[1,10,2,3,6,4,7,8,11,5,9,12]
[12,8,5,11,10,7,4,6,3,9,2,1]=>[1,2,9,3,6,4,7,10,11,5,8,12]
[12,7,5,11,10,9,4,6,8,3,2,1]=>[1,2,3,8,6,4,9,10,11,5,7,12]
[1,12,2,11,3,10,4,6,9,8,5,7]=>[7,5,8,9,6,4,10,3,11,2,12,1]
[1,12,2,11,3,10,4,6,9,7,8,5]=>[5,8,7,9,6,4,10,3,11,2,12,1]
[1,12,2,11,3,10,4,6,8,9,7,5]=>[5,7,9,8,6,4,10,3,11,2,12,1]
[1,12,2,11,3,5,10,9,4,8,6,7]=>[7,6,8,4,9,10,5,3,11,2,12,1]
[1,12,2,11,3,5,10,9,4,7,8,6]=>[6,8,7,4,9,10,5,3,11,2,12,1]
[1,12,2,11,3,5,10,6,9,8,4,7]=>[7,4,8,9,6,10,5,3,11,2,12,1]
[1,12,2,11,3,5,10,6,9,7,8,4]=>[4,8,7,9,6,10,5,3,11,2,12,1]
[1,12,2,11,3,5,10,6,8,9,7,4]=>[4,7,9,8,6,10,5,3,11,2,12,1]
[1,12,2,11,3,5,7,10,9,8,4,6]=>[6,4,8,9,10,7,5,3,11,2,12,1]
[1,12,2,11,3,5,7,10,9,6,8,4]=>[4,8,6,9,10,7,5,3,11,2,12,1]
[1,12,2,11,3,5,7,10,8,9,6,4]=>[4,6,9,8,10,7,5,3,11,2,12,1]
[1,12,2,11,3,5,7,9,10,8,6,4]=>[4,6,8,10,9,7,5,3,11,2,12,1]
[1,12,2,4,11,10,3,9,5,8,6,7]=>[7,6,8,5,9,3,10,11,4,2,12,1]
[1,12,2,4,11,10,3,9,5,7,8,6]=>[6,8,7,5,9,3,10,11,4,2,12,1]
[1,12,2,4,11,10,3,6,9,8,5,7]=>[7,5,8,9,6,3,10,11,4,2,12,1]
[1,12,2,4,11,10,3,6,9,7,8,5]=>[5,8,7,9,6,3,10,11,4,2,12,1]
[1,12,2,4,11,10,3,6,8,9,7,5]=>[5,7,9,8,6,3,10,11,4,2,12,1]
[1,12,2,4,11,5,10,9,3,8,6,7]=>[7,6,8,3,9,10,5,11,4,2,12,1]
[1,12,2,4,11,5,10,9,3,7,8,6]=>[6,8,7,3,9,10,5,11,4,2,12,1]
[1,12,2,4,11,5,10,6,9,8,3,7]=>[7,3,8,9,6,10,5,11,4,2,12,1]
[1,12,2,4,11,5,10,6,9,7,8,3]=>[3,8,7,9,6,10,5,11,4,2,12,1]
[1,12,2,4,11,5,10,6,8,9,7,3]=>[3,7,9,8,6,10,5,11,4,2,12,1]
[1,12,2,4,11,5,7,10,9,8,3,6]=>[6,3,8,9,10,7,5,11,4,2,12,1]
[1,12,2,4,11,5,7,10,9,6,8,3]=>[3,8,6,9,10,7,5,11,4,2,12,1]
[1,12,2,4,11,5,7,9,10,8,6,3]=>[3,6,8,10,9,7,5,11,4,2,12,1]
[1,12,2,4,6,11,10,9,3,8,5,7]=>[7,5,8,3,9,10,11,6,4,2,12,1]
[1,12,2,4,6,11,10,9,3,7,8,5]=>[5,8,7,3,9,10,11,6,4,2,12,1]
[1,12,2,4,6,11,10,5,9,8,3,7]=>[7,3,8,9,5,10,11,6,4,2,12,1]
[1,12,2,4,6,11,10,5,9,7,8,3]=>[3,8,7,9,5,10,11,6,4,2,12,1]
[1,12,2,4,6,11,10,5,8,9,7,3]=>[3,7,9,8,5,10,11,6,4,2,12,1]
[1,12,2,4,6,11,7,10,9,8,3,5]=>[5,3,8,9,10,7,11,6,4,2,12,1]
[1,12,2,4,6,11,7,10,9,5,8,3]=>[3,8,5,9,10,7,11,6,4,2,12,1]
[1,12,2,4,6,11,7,10,8,9,5,3]=>[3,5,9,8,10,7,11,6,4,2,12,1]
[1,12,2,4,6,11,7,9,10,8,5,3]=>[3,5,8,10,9,7,11,6,4,2,12,1]
[1,12,2,4,6,8,11,10,9,7,3,5]=>[5,3,7,9,10,11,8,6,4,2,12,1]
[1,12,2,4,6,8,11,10,9,5,7,3]=>[3,7,5,9,10,11,8,6,4,2,12,1]
[1,12,2,4,6,8,11,10,7,9,5,3]=>[3,5,9,7,10,11,8,6,4,2,12,1]
[1,12,2,4,6,8,11,9,10,7,5,3]=>[3,5,7,10,9,11,8,6,4,2,12,1]
[1,12,2,4,6,8,10,11,9,7,5,3]=>[3,5,7,9,11,10,8,6,4,2,12,1]
[1,3,12,11,2,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,2,11,12,3,1]
[1,3,12,11,2,10,4,9,5,7,8,6]=>[6,8,7,5,9,4,10,2,11,12,3,1]
[1,3,12,11,2,10,4,6,9,8,5,7]=>[7,5,8,9,6,4,10,2,11,12,3,1]
[1,3,12,11,2,10,4,6,9,7,8,5]=>[5,8,7,9,6,4,10,2,11,12,3,1]
[1,3,12,11,2,10,4,6,8,9,7,5]=>[5,7,9,8,6,4,10,2,11,12,3,1]
[1,3,12,11,2,5,10,9,4,8,6,7]=>[7,6,8,4,9,10,5,2,11,12,3,1]
[1,3,12,11,2,5,10,9,4,7,8,6]=>[6,8,7,4,9,10,5,2,11,12,3,1]
[1,3,12,11,2,5,10,6,9,8,4,7]=>[7,4,8,9,6,10,5,2,11,12,3,1]
[1,3,12,11,2,5,10,6,9,7,8,4]=>[4,8,7,9,6,10,5,2,11,12,3,1]
[1,3,12,11,2,5,10,6,8,9,7,4]=>[4,7,9,8,6,10,5,2,11,12,3,1]
[1,3,12,11,2,5,7,10,9,8,4,6]=>[6,4,8,9,10,7,5,2,11,12,3,1]
[1,3,12,11,2,5,7,10,9,6,8,4]=>[4,8,6,9,10,7,5,2,11,12,3,1]
[1,3,12,11,2,5,7,10,8,9,6,4]=>[4,6,9,8,10,7,5,2,11,12,3,1]
[1,3,12,11,2,5,7,9,10,8,6,4]=>[4,6,8,10,9,7,5,2,11,12,3,1]
[1,3,12,4,11,10,2,9,5,8,6,7]=>[7,6,8,5,9,2,10,11,4,12,3,1]
[1,3,12,4,11,10,2,9,5,7,8,6]=>[6,8,7,5,9,2,10,11,4,12,3,1]
[1,3,12,4,11,10,2,6,9,8,5,7]=>[7,5,8,9,6,2,10,11,4,12,3,1]
[1,3,12,4,11,10,2,6,9,7,8,5]=>[5,8,7,9,6,2,10,11,4,12,3,1]
[1,3,12,4,11,10,2,6,8,9,7,5]=>[5,7,9,8,6,2,10,11,4,12,3,1]
[1,3,12,4,11,5,10,9,2,8,6,7]=>[7,6,8,2,9,10,5,11,4,12,3,1]
[1,3,12,4,11,5,10,9,2,7,8,6]=>[6,8,7,2,9,10,5,11,4,12,3,1]
[1,3,12,4,11,5,10,6,9,8,2,7]=>[7,2,8,9,6,10,5,11,4,12,3,1]
[1,3,12,4,11,5,10,6,9,7,8,2]=>[2,8,7,9,6,10,5,11,4,12,3,1]
[1,3,12,4,11,5,10,6,8,9,7,2]=>[2,7,9,8,6,10,5,11,4,12,3,1]
[1,3,12,4,11,5,7,10,9,8,2,6]=>[6,2,8,9,10,7,5,11,4,12,3,1]
[1,3,12,4,11,5,7,10,9,6,8,2]=>[2,8,6,9,10,7,5,11,4,12,3,1]
[1,3,12,4,11,5,7,10,8,9,6,2]=>[2,6,9,8,10,7,5,11,4,12,3,1]
[1,3,12,4,11,5,7,9,10,8,6,2]=>[2,6,8,10,9,7,5,11,4,12,3,1]
[1,3,12,4,6,11,10,9,2,8,5,7]=>[7,5,8,2,9,10,11,6,4,12,3,1]
[1,3,12,4,6,11,10,9,2,7,8,5]=>[5,8,7,2,9,10,11,6,4,12,3,1]
[1,3,12,4,6,11,10,5,9,8,2,7]=>[7,2,8,9,5,10,11,6,4,12,3,1]
[1,3,12,4,6,11,10,5,9,7,8,2]=>[2,8,7,9,5,10,11,6,4,12,3,1]
[1,3,12,4,6,11,10,5,8,9,7,2]=>[2,7,9,8,5,10,11,6,4,12,3,1]
[1,3,12,4,6,11,7,10,9,8,2,5]=>[5,2,8,9,10,7,11,6,4,12,3,1]
[1,3,12,4,6,11,7,10,9,5,8,2]=>[2,8,5,9,10,7,11,6,4,12,3,1]
[1,3,12,4,6,11,7,10,8,9,5,2]=>[2,5,9,8,10,7,11,6,4,12,3,1]
[1,3,12,4,6,8,11,10,9,7,2,5]=>[5,2,7,9,10,11,8,6,4,12,3,1]
[1,3,12,4,6,8,11,10,9,5,7,2]=>[2,7,5,9,10,11,8,6,4,12,3,1]
[1,3,12,4,6,8,11,10,7,9,5,2]=>[2,5,9,7,10,11,8,6,4,12,3,1]
[1,3,12,4,6,8,11,9,10,7,5,2]=>[2,5,7,10,9,11,8,6,4,12,3,1]
[1,3,12,4,6,8,10,11,9,7,5,2]=>[2,5,7,9,11,10,8,6,4,12,3,1]
[1,3,5,12,11,10,2,9,4,8,6,7]=>[7,6,8,4,9,2,10,11,12,5,3,1]
[1,3,5,12,11,10,2,9,4,7,8,6]=>[6,8,7,4,9,2,10,11,12,5,3,1]
[1,3,5,12,11,10,2,6,9,8,4,7]=>[7,4,8,9,6,2,10,11,12,5,3,1]
[1,3,5,12,11,10,2,6,9,7,8,4]=>[4,8,7,9,6,2,10,11,12,5,3,1]
[1,3,5,12,11,10,2,6,8,9,7,4]=>[4,7,9,8,6,2,10,11,12,5,3,1]
[1,3,5,12,11,4,10,9,2,8,6,7]=>[7,6,8,2,9,10,4,11,12,5,3,1]
[1,3,5,12,11,4,10,9,2,7,8,6]=>[6,8,7,2,9,10,4,11,12,5,3,1]
[1,3,5,12,11,4,10,6,9,8,2,7]=>[7,2,8,9,6,10,4,11,12,5,3,1]
[1,3,5,12,11,4,10,6,9,7,8,2]=>[2,8,7,9,6,10,4,11,12,5,3,1]
[1,3,5,12,11,4,10,6,8,9,7,2]=>[2,7,9,8,6,10,4,11,12,5,3,1]
[1,3,5,12,11,4,7,10,9,8,2,6]=>[6,2,8,9,10,7,4,11,12,5,3,1]
[1,3,5,12,11,4,7,10,9,6,8,2]=>[2,8,6,9,10,7,4,11,12,5,3,1]
[1,3,5,12,11,4,7,10,8,9,6,2]=>[2,6,9,8,10,7,4,11,12,5,3,1]
[1,3,5,12,11,4,7,9,10,8,6,2]=>[2,6,8,10,9,7,4,11,12,5,3,1]
[1,3,5,12,6,11,10,9,2,8,4,7]=>[7,4,8,2,9,10,11,6,12,5,3,1]
[1,3,5,12,6,11,10,9,2,7,8,4]=>[4,8,7,2,9,10,11,6,12,5,3,1]
[1,3,5,12,6,11,10,4,9,8,2,7]=>[7,2,8,9,4,10,11,6,12,5,3,1]
[1,3,5,12,6,11,10,4,9,7,8,2]=>[2,8,7,9,4,10,11,6,12,5,3,1]
[1,3,5,12,6,11,10,4,8,9,7,2]=>[2,7,9,8,4,10,11,6,12,5,3,1]
[1,3,5,12,6,11,7,10,9,8,2,4]=>[4,2,8,9,10,7,11,6,12,5,3,1]
[1,3,5,12,6,11,7,10,9,4,8,2]=>[2,8,4,9,10,7,11,6,12,5,3,1]
[1,3,5,12,6,11,7,10,8,9,4,2]=>[2,4,9,8,10,7,11,6,12,5,3,1]
[1,3,5,12,6,11,7,9,10,8,4,2]=>[2,4,8,10,9,7,11,6,12,5,3,1]
[1,3,5,12,6,8,11,10,9,7,2,4]=>[4,2,7,9,10,11,8,6,12,5,3,1]
[1,3,5,12,6,8,11,10,9,4,7,2]=>[2,7,4,9,10,11,8,6,12,5,3,1]
[1,3,5,12,6,8,11,10,7,9,4,2]=>[2,4,9,7,10,11,8,6,12,5,3,1]
[1,3,5,12,6,8,11,9,10,7,4,2]=>[2,4,7,10,9,11,8,6,12,5,3,1]
[1,3,5,12,6,8,10,11,9,7,4,2]=>[2,4,7,9,11,10,8,6,12,5,3,1]
[1,3,5,7,12,11,10,9,2,8,4,6]=>[6,4,8,2,9,10,11,12,7,5,3,1]
[1,3,5,7,12,11,10,9,2,6,8,4]=>[4,8,6,2,9,10,11,12,7,5,3,1]
[1,3,5,7,12,11,10,4,9,8,2,6]=>[6,2,8,9,4,10,11,12,7,5,3,1]
[1,3,5,7,12,11,10,4,9,6,8,2]=>[2,8,6,9,4,10,11,12,7,5,3,1]
[1,3,5,7,12,11,10,4,8,9,6,2]=>[2,6,9,8,4,10,11,12,7,5,3,1]
[1,3,5,7,12,11,6,10,9,8,2,4]=>[4,2,8,9,10,6,11,12,7,5,3,1]
[1,3,5,7,12,11,6,10,9,4,8,2]=>[2,8,4,9,10,6,11,12,7,5,3,1]
[1,3,5,7,12,11,6,10,8,9,4,2]=>[2,4,9,8,10,6,11,12,7,5,3,1]
[1,3,5,7,12,11,6,9,10,8,4,2]=>[2,4,8,10,9,6,11,12,7,5,3,1]
[1,3,5,7,12,8,11,10,9,6,2,4]=>[4,2,6,9,10,11,8,12,7,5,3,1]
[1,3,5,7,12,8,11,10,9,4,6,2]=>[2,6,4,9,10,11,8,12,7,5,3,1]
[1,3,5,7,12,8,11,10,6,9,4,2]=>[2,4,9,6,10,11,8,12,7,5,3,1]
[1,3,5,7,12,8,11,9,10,6,4,2]=>[2,4,6,10,9,11,8,12,7,5,3,1]
[1,3,5,7,12,8,10,11,9,6,4,2]=>[2,4,6,9,11,10,8,12,7,5,3,1]
[1,3,5,7,9,12,11,10,8,6,2,4]=>[4,2,6,8,10,11,12,9,7,5,3,1]
[1,3,5,7,9,12,11,10,8,4,6,2]=>[2,6,4,8,10,11,12,9,7,5,3,1]
[1,3,5,7,9,12,11,10,6,8,4,2]=>[2,4,8,6,10,11,12,9,7,5,3,1]
[1,3,5,7,9,12,11,8,10,6,4,2]=>[2,4,6,10,8,11,12,9,7,5,3,1]
[1,3,5,7,9,12,10,11,8,6,4,2]=>[2,4,6,8,11,10,12,9,7,5,3,1]
[7,8,6,9,5,10,4,11,2,1,12,3]=>[3,12,1,2,11,4,10,5,9,6,8,7]
[1,11,3,12,2,4,10,5,9,6,8,7]=>[7,8,6,9,5,10,4,2,12,3,11,1]
[1,2,12,3,11,4,10,5,9,6,8,7]=>[7,8,6,9,5,10,4,11,3,12,2,1]
[4,1,6,3,9,5,10,2,12,8,11,7]=>[7,11,8,12,2,10,5,9,3,6,1,4]
[4,1,7,3,8,2,10,6,12,9,11,5]=>[5,11,9,12,6,10,2,8,3,7,1,4]
[4,1,7,3,8,2,11,6,9,10,12,5]=>[5,12,10,9,6,11,2,8,3,7,1,4]
[4,1,7,3,9,12,10,6,2,8,11,5]=>[5,11,8,2,6,10,12,9,3,7,1,4]
[5,1,6,2,8,4,10,7,12,9,11,3]=>[3,11,9,12,7,10,4,8,2,6,1,5]
[5,1,6,2,8,4,11,7,9,10,12,3]=>[3,12,10,9,7,11,4,8,2,6,1,5]
[5,1,6,2,9,4,10,3,12,8,11,7]=>[7,11,8,12,3,10,4,9,2,6,1,5]
[5,1,6,2,9,4,7,11,12,10,3,8]=>[8,3,10,12,11,7,4,9,2,6,1,5]
[5,1,6,2,10,4,7,8,9,11,12,3]=>[3,12,11,9,8,7,4,10,2,6,1,5]
[5,1,7,10,8,4,2,6,12,9,11,3]=>[3,11,9,12,6,2,4,8,10,7,1,5]
[5,1,7,11,8,4,2,6,9,10,12,3]=>[3,12,10,9,6,2,4,8,11,7,1,5]
[5,1,7,12,9,10,2,4,6,8,11,3]=>[3,11,8,6,4,2,10,9,12,7,1,5]
[5,1,8,12,9,4,6,2,10,7,11,3]=>[3,11,7,10,2,6,4,9,12,8,1,5]
[5,1,3,8,9,11,2,6,12,10,7,4]=>[4,7,10,12,6,2,11,9,8,3,1,5]
[5,1,3,8,10,6,11,7,9,12,2,4]=>[4,2,12,9,7,11,6,10,8,3,1,5]
[6,1,7,9,3,12,10,2,5,8,11,4]=>[4,11,8,5,2,10,12,3,9,7,1,6]
[6,1,8,2,9,12,4,10,3,7,11,5]=>[5,11,7,3,10,4,12,9,2,8,1,6]
[6,1,3,8,9,12,2,11,4,10,7,5]=>[5,7,10,4,11,2,12,9,8,3,1,6]
[7,1,8,2,4,5,9,10,12,6,11,3]=>[3,11,6,12,10,9,5,4,2,8,1,7]
[7,1,3,8,2,5,9,11,12,10,6,4]=>[4,6,10,12,11,9,5,2,8,3,1,7]
[7,1,3,4,8,2,10,11,9,12,6,5]=>[5,6,12,9,11,10,2,8,4,3,1,7]
[6,1,4,2,9,5,10,3,12,8,11,7]=>[7,11,8,12,3,10,5,9,2,4,1,6]
[7,1,4,2,8,3,10,6,12,9,11,5]=>[5,11,9,12,6,10,3,8,2,4,1,7]
[7,1,4,2,8,3,11,6,9,10,12,5]=>[5,12,10,9,6,11,3,8,2,4,1,7]
[7,1,4,2,9,12,10,6,3,8,11,5]=>[5,11,8,3,6,10,12,9,2,4,1,7]
[8,6,5,1,2,4,10,7,12,9,11,3]=>[3,11,9,12,7,10,4,2,1,5,6,8]
[8,6,5,1,2,4,11,7,9,10,12,3]=>[3,12,10,9,7,11,4,2,1,5,6,8]
[9,6,5,1,2,4,10,3,12,8,11,7]=>[7,11,8,12,3,10,4,2,1,5,6,9]
[9,6,5,1,2,4,7,11,12,10,3,8]=>[8,3,10,12,11,7,4,2,1,5,6,9]
[10,6,5,1,2,4,7,8,9,11,12,3]=>[3,12,11,9,8,7,4,2,1,5,6,10]
[10,7,5,8,2,1,4,6,12,9,11,3]=>[3,11,9,12,6,4,1,2,8,5,7,10]
[11,7,5,8,2,1,4,6,9,10,12,3]=>[3,12,10,9,6,4,1,2,8,5,7,11]
[12,7,5,9,2,10,4,1,6,8,11,3]=>[3,11,8,6,1,4,10,2,9,5,7,12]
[12,8,5,9,2,1,6,4,10,7,11,3]=>[3,11,7,10,4,6,1,2,9,5,8,12]
[1,8,5,9,2,11,4,6,12,10,7,3]=>[3,7,10,12,6,4,11,2,9,5,8,1]
[1,8,5,10,2,6,11,7,9,12,4,3]=>[3,4,12,9,7,11,6,2,10,5,8,1]
[10,7,6,1,4,2,8,5,12,9,11,3]=>[3,11,9,12,5,8,2,4,1,6,7,10]
[11,7,6,1,4,2,8,5,9,10,12,3]=>[3,12,10,9,5,8,2,4,1,6,7,11]
[12,7,6,9,2,4,10,1,5,8,11,3]=>[3,11,8,5,1,10,4,2,9,6,7,12]
[1,7,6,9,2,4,11,12,5,10,8,3]=>[3,8,10,5,12,11,4,2,9,6,7,1]
[1,7,6,10,2,4,11,8,9,5,12,3]=>[3,12,5,9,8,11,4,2,10,6,7,1]
[12,8,6,1,9,5,4,10,2,7,11,3]=>[3,11,7,2,10,4,5,9,1,6,8,12]
[1,8,6,9,12,4,5,11,2,10,7,3]=>[3,7,10,2,11,5,4,12,9,6,8,1]
[1,8,6,4,10,5,11,12,9,7,2,3]=>[3,2,7,9,12,11,5,10,4,6,8,1]
[1,9,6,4,10,5,7,8,11,2,12,3]=>[3,12,2,11,8,7,5,10,4,6,9,1]
[12,8,7,1,4,5,2,9,10,6,11,3]=>[3,11,6,10,9,2,5,4,1,7,8,12]
[9,1,2,5,6,3,10,4,12,8,11,7]=>[7,11,8,12,4,10,3,6,5,2,1,9]
[10,8,2,5,7,1,3,6,12,9,11,4]=>[4,11,9,12,6,3,1,7,5,2,8,10]
[11,8,2,5,7,1,3,6,9,10,12,4]=>[4,12,10,9,6,3,1,7,5,2,8,11]
[12,9,2,5,7,10,3,1,6,8,11,4]=>[4,11,8,6,1,3,10,7,5,2,9,12]
[12,9,2,5,8,1,6,3,10,7,11,4]=>[4,11,7,10,3,6,1,8,5,2,9,12]
[1,9,2,5,8,11,3,6,12,10,7,4]=>[4,7,10,12,6,3,11,8,5,2,9,1]
[1,10,2,5,8,6,11,7,9,12,3,4]=>[4,3,12,9,7,11,6,8,5,2,10,1]
[10,1,8,6,2,7,3,5,12,9,11,4]=>[4,11,9,12,5,3,7,2,6,8,1,10]
[11,1,8,6,2,7,3,5,9,10,12,4]=>[4,12,10,9,5,3,7,2,6,8,1,11]
[12,10,9,6,2,7,3,1,5,8,11,4]=>[4,11,8,5,1,3,7,2,6,9,10,12]
[1,11,9,6,2,7,3,12,5,10,8,4]=>[4,8,10,5,12,3,7,2,6,9,11,1]
[1,11,10,6,2,7,3,8,9,5,12,4]=>[4,12,5,9,8,3,7,2,6,10,11,1]
[12,1,9,6,8,10,2,3,4,7,11,5]=>[5,11,7,4,3,2,10,8,6,9,1,12]
[1,12,9,6,8,11,2,3,4,10,7,5]=>[5,7,10,4,3,2,11,8,6,9,12,1]
[12,1,9,7,2,5,8,3,10,6,11,4]=>[4,11,6,10,3,8,5,2,7,9,1,12]
[1,12,9,7,2,5,8,3,11,10,6,4]=>[4,6,10,11,3,8,5,2,7,9,12,1]
[1,2,10,7,8,3,11,4,9,12,6,5]=>[5,6,12,9,4,11,3,8,7,10,2,1]
[1,2,10,7,5,9,11,8,4,12,3,6]=>[6,3,12,4,8,11,9,5,7,10,2,1]
[12,10,2,3,6,7,9,1,4,8,11,5]=>[5,11,8,4,1,9,7,6,3,2,10,12]
[12,1,10,3,6,8,2,9,4,7,11,5]=>[5,11,7,4,9,2,8,6,3,10,1,12]
[1,12,11,3,6,8,2,9,4,10,7,5]=>[5,7,10,4,9,2,8,6,3,11,12,1]
[12,1,2,10,7,3,8,9,4,6,11,5]=>[5,11,6,4,9,8,3,7,10,2,1,12]
[1,12,2,11,7,3,8,9,4,10,6,5]=>[5,6,10,4,9,8,3,7,11,2,12,1]
[1,2,12,11,7,3,8,10,9,4,6,5]=>[5,6,4,9,10,8,3,7,11,12,2,1]
[3,6,2,5,8,10,1,4,7,9,11,12]=>[12,11,9,7,4,1,10,8,5,2,6,3]
[10,1,2,12,3,11,4,9,5,8,6,7]=>[7,6,8,5,9,4,11,3,12,2,1,10]
[1,12,9,2,3,11,4,10,5,8,6,7]=>[7,6,8,5,10,4,11,3,2,9,12,1]
[1,10,11,2,3,12,4,9,5,8,6,7]=>[7,6,8,5,9,4,12,3,2,11,10,1]
[9,8,1,2,3,12,4,11,5,10,6,7]=>[7,6,10,5,11,4,12,3,2,1,8,9]
[1,12,2,11,8,3,4,10,5,9,6,7]=>[7,6,9,5,10,4,3,8,11,2,12,1]
[10,1,2,12,8,3,4,11,5,9,6,7]=>[7,6,9,5,11,4,3,8,12,2,1,10]
[1,12,2,9,10,3,4,11,5,8,6,7]=>[7,6,8,5,11,4,3,10,9,2,12,1]
[1,3,11,9,10,2,4,12,5,8,6,7]=>[7,6,8,5,12,4,2,10,9,11,3,1]
[9,1,8,2,11,3,4,12,5,10,6,7]=>[7,6,10,5,12,4,3,11,2,8,1,9]
[1,12,8,7,2,3,4,11,5,10,6,9]=>[9,6,10,5,11,4,3,2,7,8,12,1]
[1,9,11,7,2,3,4,12,5,10,6,8]=>[8,6,10,5,12,4,3,2,7,11,9,1]
[1,9,8,10,2,3,4,12,5,11,6,7]=>[7,6,11,5,12,4,3,2,10,8,9,1]
[8,7,6,1,2,3,4,12,5,11,9,10]=>[10,9,11,5,12,4,3,2,1,6,7,8]
[1,12,2,11,3,10,7,4,5,9,6,8]=>[8,6,9,5,4,7,10,3,11,2,12,1]
[10,1,2,12,3,11,7,4,5,9,6,8]=>[8,6,9,5,4,7,11,3,12,2,1,10]
[1,12,9,2,3,11,7,4,5,10,6,8]=>[8,6,10,5,4,7,11,3,2,9,12,1]
[1,10,11,2,3,12,7,4,5,9,6,8]=>[8,6,9,5,4,7,12,3,2,11,10,1]
[9,8,1,2,3,12,7,4,5,11,6,10]=>[10,6,11,5,4,7,12,3,2,1,8,9]
[1,12,2,11,3,8,9,4,5,10,6,7]=>[7,6,10,5,4,9,8,3,11,2,12,1]
[10,1,2,12,3,8,9,4,5,11,6,7]=>[7,6,11,5,4,9,8,3,12,2,1,10]
[1,12,2,4,10,8,9,3,5,11,6,7]=>[7,6,11,5,3,9,8,10,4,2,12,1]
[1,3,11,4,10,8,9,2,5,12,6,7]=>[7,6,12,5,2,9,8,10,4,11,3,1]
[9,1,3,2,11,8,10,4,5,12,6,7]=>[7,6,12,5,4,10,8,11,2,3,1,9]
[1,12,8,2,7,3,10,4,5,11,6,9]=>[9,6,11,5,4,10,3,7,2,8,12,1]
[1,9,11,2,7,3,10,4,5,12,6,8]=>[8,6,12,5,4,10,3,7,2,11,9,1]
[1,9,3,10,7,2,11,4,5,12,6,8]=>[8,6,12,5,4,11,2,7,10,3,9,1]
[8,7,1,6,2,3,11,4,5,12,9,10]=>[10,9,12,5,4,11,3,2,6,1,7,8]
[1,12,2,11,7,6,3,4,5,10,8,9]=>[9,8,10,5,4,3,6,7,11,2,12,1]
[10,1,2,12,7,6,3,4,5,11,8,9]=>[9,8,11,5,4,3,6,7,12,2,1,10]
[1,12,2,8,10,6,3,4,5,11,7,9]=>[9,7,11,5,4,3,6,10,8,2,12,1]
[1,3,11,8,10,6,2,4,5,12,7,9]=>[9,7,12,5,4,2,6,10,8,11,3,1]
[9,1,7,2,11,6,3,4,5,12,8,10]=>[10,8,12,5,4,3,6,11,2,7,1,9]
[1,12,2,8,7,9,3,4,5,11,6,10]=>[10,6,11,5,4,3,9,7,8,2,12,1]
[1,3,11,8,7,9,2,4,5,12,6,10]=>[10,6,12,5,4,2,9,7,8,11,3,1]
[1,3,9,10,7,8,2,4,5,12,6,11]=>[11,6,12,5,4,2,8,7,10,9,3,1]
[8,1,7,6,2,10,3,4,5,12,9,11]=>[11,9,12,5,4,3,10,2,6,7,1,8]
[1,12,7,6,5,2,3,4,8,11,9,10]=>[10,9,11,8,4,3,2,5,6,7,12,1]
[1,8,11,6,5,2,3,4,7,12,9,10]=>[10,9,12,7,4,3,2,5,6,11,8,1]
[1,8,7,10,5,2,3,4,6,12,9,11]=>[11,9,12,6,4,3,2,5,10,7,8,1]
[1,8,7,6,9,2,3,4,5,12,10,11]=>[11,10,12,5,4,3,2,9,6,7,8,1]
[7,6,5,4,1,2,3,8,9,12,10,11]=>[11,10,12,9,8,3,2,1,4,5,6,7]
[10,1,2,12,3,11,4,9,6,5,7,8]=>[8,7,5,6,9,4,11,3,12,2,1,10]
[1,12,9,2,3,11,4,10,6,5,7,8]=>[8,7,5,6,10,4,11,3,2,9,12,1]
[1,10,11,2,3,12,4,9,6,5,7,8]=>[8,7,5,6,9,4,12,3,2,11,10,1]
[9,8,1,2,3,12,4,11,6,5,7,10]=>[10,7,5,6,11,4,12,3,2,1,8,9]
[1,12,2,11,8,3,4,10,6,5,7,9]=>[9,7,5,6,10,4,3,8,11,2,12,1]
[10,1,2,12,8,3,4,11,6,5,7,9]=>[9,7,5,6,11,4,3,8,12,2,1,10]
[1,12,2,9,10,3,4,11,6,5,7,8]=>[8,7,5,6,11,4,3,10,9,2,12,1]
[1,3,11,9,10,2,4,12,6,5,7,8]=>[8,7,5,6,12,4,2,10,9,11,3,1]
[9,1,8,2,11,3,4,12,6,5,7,10]=>[10,7,5,6,12,4,3,11,2,8,1,9]
[1,12,8,7,2,3,4,11,6,5,9,10]=>[10,9,5,6,11,4,3,2,7,8,12,1]
[1,9,11,7,2,3,4,12,6,5,8,10]=>[10,8,5,6,12,4,3,2,7,11,9,1]
[1,9,8,10,2,3,4,12,6,5,7,11]=>[11,7,5,6,12,4,3,2,10,8,9,1]
[8,7,6,1,2,3,4,12,9,5,10,11]=>[11,10,5,9,12,4,3,2,1,6,7,8]
[1,12,2,11,3,10,4,7,8,5,6,9]=>[9,6,5,8,7,4,10,3,11,2,12,1]
[10,1,2,12,3,11,4,7,8,5,6,9]=>[9,6,5,8,7,4,11,3,12,2,1,10]
[1,12,9,2,3,11,4,7,8,5,6,10]=>[10,6,5,8,7,4,11,3,2,9,12,1]
[1,10,11,2,3,12,4,7,8,5,6,9]=>[9,6,5,8,7,4,12,3,2,11,10,1]
[9,8,1,2,3,12,4,7,10,5,6,11]=>[11,6,5,10,7,4,12,3,2,1,8,9]
[1,12,2,11,3,5,9,7,8,4,6,10]=>[10,6,4,8,7,9,5,3,11,2,12,1]
[10,1,2,12,3,5,9,7,8,4,6,11]=>[11,6,4,8,7,9,5,3,12,2,1,10]
[1,12,2,4,10,5,9,7,8,3,6,11]=>[11,6,3,8,7,9,5,10,4,2,12,1]
[1,3,11,4,10,5,9,7,8,2,6,12]=>[12,6,2,8,7,9,5,10,4,11,3,1]
[9,1,3,2,11,5,10,7,8,4,6,12]=>[12,6,4,8,7,10,5,11,2,3,1,9]
[1,12,8,2,4,3,10,7,9,5,6,11]=>[11,6,5,9,7,10,3,4,2,8,12,1]
[1,9,11,2,4,3,10,7,8,5,6,12]=>[12,6,5,8,7,10,3,4,2,11,9,1]
[1,9,3,10,4,2,11,7,8,5,6,12]=>[12,6,5,8,7,11,2,4,10,3,9,1]
[8,7,1,3,2,4,11,9,10,5,6,12]=>[12,6,5,10,9,11,4,2,3,1,7,8]
[1,12,2,11,7,3,6,4,9,5,8,10]=>[10,8,5,9,4,6,3,7,11,2,12,1]
[10,1,2,12,7,3,6,4,9,5,8,11]=>[11,8,5,9,4,6,3,7,12,2,1,10]
[1,12,2,8,10,3,6,4,9,5,7,11]=>[11,7,5,9,4,6,3,10,8,2,12,1]
[1,3,11,8,10,2,6,4,9,5,7,12]=>[12,7,5,9,4,6,2,10,8,11,3,1]
[9,1,7,2,11,3,6,4,10,5,8,12]=>[12,8,5,10,4,6,3,11,2,7,1,9]
[1,12,2,8,4,9,6,3,10,5,7,11]=>[11,7,5,10,3,6,9,4,8,2,12,1]
[1,3,11,8,4,9,6,2,10,5,7,12]=>[12,7,5,10,2,6,9,4,8,11,3,1]
[1,3,9,10,4,8,6,2,11,5,7,12]=>[12,7,5,11,2,6,8,4,10,9,3,1]
[8,1,7,3,2,10,6,4,11,5,9,12]=>[12,9,5,11,4,6,10,2,3,7,1,8]
[1,12,7,6,2,5,3,4,10,8,9,11]=>[11,9,8,10,4,3,5,2,6,7,12,1]
[1,8,11,6,2,5,3,4,10,7,9,12]=>[12,9,7,10,4,3,5,2,6,11,8,1]
[1,8,7,10,2,5,3,4,11,6,9,12]=>[12,9,6,11,4,3,5,2,10,7,8,1]
[1,8,7,3,9,5,2,4,11,6,10,12]=>[12,10,6,11,4,2,5,9,3,7,8,1]
[7,6,5,1,4,2,3,8,11,9,10,12]=>[12,10,9,11,8,3,2,4,1,5,6,7]
[10,1,2,12,3,11,6,5,4,7,8,9]=>[9,8,7,4,5,6,11,3,12,2,1,10]
[1,12,9,2,3,11,6,5,4,7,8,10]=>[10,8,7,4,5,6,11,3,2,9,12,1]
[1,10,11,2,3,12,6,5,4,7,8,9]=>[9,8,7,4,5,6,12,3,2,11,10,1]
[9,8,1,2,3,12,6,5,4,7,10,11]=>[11,10,7,4,5,6,12,3,2,1,8,9]
[1,12,2,11,3,7,9,5,4,6,8,10]=>[10,8,6,4,5,9,7,3,11,2,12,1]
[10,1,2,12,3,7,9,5,4,6,8,11]=>[11,8,6,4,5,9,7,3,12,2,1,10]
[1,12,2,4,10,7,9,5,3,6,8,11]=>[11,8,6,3,5,9,7,10,4,2,12,1]
[1,3,11,4,10,7,9,5,2,6,8,12]=>[12,8,6,2,5,9,7,10,4,11,3,1]
[9,1,3,2,11,7,10,5,4,6,8,12]=>[12,8,6,4,5,10,7,11,2,3,1,9]
[1,12,8,2,6,3,10,5,4,7,9,11]=>[11,9,7,4,5,10,3,6,2,8,12,1]
[1,9,11,2,6,3,10,5,4,7,8,12]=>[12,8,7,4,5,10,3,6,2,11,9,1]
[1,9,3,10,6,2,11,5,4,7,8,12]=>[12,8,7,4,5,11,2,6,10,3,9,1]
[8,7,1,5,2,3,11,6,4,9,10,12]=>[12,10,9,4,6,11,3,2,5,1,7,8]
[1,12,2,11,3,7,6,8,4,5,9,10]=>[10,9,5,4,8,6,7,3,11,2,12,1]
[10,1,2,12,3,7,6,8,4,5,9,11]=>[11,9,5,4,8,6,7,3,12,2,1,10]
[1,12,2,4,10,7,6,8,3,5,9,11]=>[11,9,5,3,8,6,7,10,4,2,12,1]
[1,3,11,4,10,7,6,8,2,5,9,12]=>[12,9,5,2,8,6,7,10,4,11,3,1]
[9,1,3,2,11,7,6,8,4,5,10,12]=>[12,10,5,4,8,6,7,11,2,3,1,9]
[1,12,2,4,8,9,6,7,3,5,10,11]=>[11,10,5,3,7,6,9,8,4,2,12,1]
[1,3,11,4,8,9,6,7,2,5,10,12]=>[12,10,5,2,7,6,9,8,4,11,3,1]
[1,3,5,10,8,9,6,7,2,4,11,12]=>[12,11,4,2,7,6,9,8,10,5,3,1]
[8,1,3,7,2,10,6,9,4,5,11,12]=>[12,11,5,4,9,6,10,2,7,3,1,8]
[1,12,7,2,6,5,3,9,4,8,10,11]=>[11,10,8,4,9,3,5,6,2,7,12,1]
[1,8,11,2,6,5,3,9,4,7,10,12]=>[12,10,7,4,9,3,5,6,2,11,8,1]
[1,8,3,10,6,5,2,9,4,7,11,12]=>[12,11,7,4,9,2,5,6,10,3,8,1]
[1,8,3,7,9,5,2,10,4,6,11,12]=>[12,11,6,4,10,2,5,9,7,3,8,1]
[7,6,1,5,4,2,3,10,8,9,11,12]=>[12,11,9,8,10,3,2,4,5,1,6,7]
[10,1,2,12,6,5,4,3,7,8,9,11]=>[11,9,8,7,3,4,5,6,12,2,1,10]
[1,12,2,7,10,5,4,3,6,8,9,11]=>[11,9,8,6,3,4,5,10,7,2,12,1]
[1,3,11,7,10,5,4,2,6,8,9,12]=>[12,9,8,6,2,4,5,10,7,11,3,1]
[9,1,6,2,11,5,4,3,7,8,10,12]=>[12,10,8,7,3,4,5,11,2,6,1,9]
[1,12,2,7,6,9,4,3,5,8,10,11]=>[11,10,8,5,3,4,9,6,7,2,12,1]
[1,3,11,7,6,9,4,2,5,8,10,12]=>[12,10,8,5,2,4,9,6,7,11,3,1]
[1,3,8,10,6,9,4,2,5,7,11,12]=>[12,11,7,5,2,4,9,6,10,8,3,1]
[8,1,6,5,2,10,4,3,7,9,11,12]=>[12,11,9,7,3,4,10,2,5,6,1,8]
[1,12,2,7,6,5,8,3,4,9,10,11]=>[11,10,9,4,3,8,5,6,7,2,12,1]
[1,3,11,7,6,5,8,2,4,9,10,12]=>[12,10,9,4,2,8,5,6,7,11,3,1]
[1,3,8,10,6,5,7,2,4,9,11,12]=>[12,11,9,4,2,7,5,6,10,8,3,1]
[1,3,8,7,9,5,6,2,4,10,11,12]=>[12,11,10,4,2,6,5,9,7,8,3,1]
[7,1,6,5,4,2,9,3,8,10,11,12]=>[12,11,10,8,3,9,2,4,5,6,1,7]
[1,7,11,5,4,3,2,6,8,9,10,12]=>[12,10,9,8,6,2,3,4,5,11,7,1]
[1,7,6,10,4,3,2,5,8,9,11,12]=>[12,11,9,8,5,2,3,4,10,6,7,1]
[1,7,6,5,9,3,2,4,8,10,11,12]=>[12,11,10,8,4,2,3,9,5,6,7,1]
[1,7,6,5,4,8,2,3,9,10,11,12]=>[12,11,10,9,3,2,8,4,5,6,7,1]
[11,12,1,3,5,7,10,2,4,6,8,9]=>[9,8,6,4,2,10,7,5,3,1,12,11]
[12,9,1,3,5,8,2,4,6,7,10,11]=>[11,10,7,6,4,2,8,5,3,1,9,12]
[11,8,12,1,3,5,9,10,2,4,6,7]=>[7,6,4,2,10,9,5,3,1,12,8,11]
[10,11,12,9,1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1,9,12,11,10]
[9,6,1,3,5,12,2,4,7,8,10,11]=>[11,10,8,7,4,2,12,5,3,1,6,9]
[6,5,11,12,1,3,10,2,4,7,8,9]=>[9,8,7,4,2,10,3,1,12,11,5,6]
[6,12,9,1,3,7,8,2,4,5,10,11]=>[11,10,5,4,2,8,7,3,1,9,12,6]
[6,11,8,12,1,3,7,9,10,2,4,5]=>[5,4,2,10,9,7,3,1,12,8,11,6]
[6,10,11,12,9,1,3,7,8,2,4,5]=>[5,4,2,8,7,3,1,9,12,11,10,6]
[12,8,9,7,1,3,6,2,4,5,10,11]=>[11,10,5,4,2,6,3,1,7,9,8,12]
[11,12,8,7,1,3,6,9,10,2,4,5]=>[5,4,2,10,9,6,3,1,7,8,12,11]
[10,11,7,12,8,9,1,3,6,2,4,5]=>[5,4,2,6,3,1,9,8,12,7,11,10]
[9,10,11,12,8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8,12,11,10,9]
[7,4,1,3,9,12,2,5,6,8,10,11]=>[11,10,8,6,5,2,12,9,3,1,4,7]
[4,3,11,12,1,7,10,2,5,6,8,9]=>[9,8,6,5,2,10,7,1,12,11,3,4]
[3,12,4,9,1,8,2,5,6,7,10,11]=>[11,10,7,6,5,2,8,1,9,4,12,3]
[3,11,4,8,12,1,9,10,2,5,6,7]=>[7,6,5,2,10,9,1,12,8,4,11,3]
[3,10,11,12,4,9,1,8,2,5,6,7]=>[7,6,5,2,8,1,9,4,12,11,10,3]
[4,9,6,12,1,5,2,3,7,8,10,11]=>[11,10,8,7,3,2,5,1,12,6,9,4]
[4,6,11,3,12,1,10,2,5,7,8,9]=>[9,8,7,5,2,10,1,12,3,11,6,4]
[4,6,12,9,1,5,7,8,2,3,10,11]=>[11,10,3,2,8,7,5,1,9,12,6,4]
[4,6,11,8,12,1,5,7,9,10,2,3]=>[3,2,10,9,7,5,1,12,8,11,6,4]
[4,6,10,11,12,9,1,5,7,8,2,3]=>[3,2,8,7,5,1,9,12,11,10,6,4]
[12,4,8,9,7,1,5,6,2,3,10,11]=>[11,10,3,2,6,5,1,7,9,8,4,12]
[11,12,4,8,7,1,5,6,9,10,2,3]=>[3,2,10,9,6,5,1,7,8,4,12,11]
[10,11,4,7,12,8,9,1,5,6,2,3]=>[3,2,6,5,1,9,8,12,7,4,11,10]
[9,10,11,12,4,8,7,1,5,6,2,3]=>[3,2,6,5,1,7,8,4,12,11,10,9]
[9,12,6,5,1,4,2,3,7,8,10,11]=>[11,10,8,7,3,2,4,1,5,6,12,9]
[11,5,4,3,12,1,10,2,6,7,8,9]=>[9,8,7,6,2,10,1,12,3,4,5,11]
[12,9,6,5,1,4,7,8,2,3,10,11]=>[11,10,3,2,8,7,4,1,5,6,9,12]
[11,8,5,4,12,1,6,7,9,10,2,3]=>[3,2,10,9,7,6,1,12,4,5,8,11]
[10,5,4,11,12,9,1,6,7,8,2,3]=>[3,2,8,7,6,1,9,12,11,4,5,10]
[12,8,5,9,6,7,1,4,2,3,10,11]=>[11,10,3,2,4,1,7,6,9,5,8,12]
[11,5,12,8,6,7,1,4,9,10,2,3]=>[3,2,10,9,4,1,7,6,8,12,5,11]
[10,5,11,7,12,6,8,9,1,4,2,3]=>[3,2,4,1,9,8,6,12,7,11,5,10]
[9,5,10,11,12,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,12,11,10,5,9]
[12,7,8,9,6,5,1,4,2,3,10,11]=>[11,10,3,2,4,1,5,6,9,8,7,12]
[11,12,7,8,6,5,1,4,9,10,2,3]=>[3,2,10,9,4,1,5,6,8,7,12,11]
[10,11,12,7,6,5,8,9,1,4,2,3]=>[3,2,4,1,9,8,5,6,7,12,11,10]
[9,10,11,6,12,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,12,6,11,10,9]
[8,9,10,11,12,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,12,11,10,9,8]
[5,2,1,7,9,12,3,4,6,8,10,11]=>[11,10,8,6,4,3,12,9,7,1,2,5]
[2,1,11,12,5,7,10,3,4,6,8,9]=>[9,8,6,4,3,10,7,5,12,11,1,2]
[1,12,2,9,5,8,3,4,6,7,10,11]=>[11,10,7,6,4,3,8,5,9,2,12,1]
[1,11,2,8,12,5,9,10,3,4,6,7]=>[7,6,4,3,10,9,5,12,8,2,11,1]
[1,10,11,12,2,9,5,8,3,4,6,7]=>[7,6,4,3,8,5,9,2,12,11,10,1]
[1,9,2,6,5,12,3,4,7,8,10,11]=>[11,10,8,7,4,3,12,5,6,2,9,1]
[1,6,2,5,11,12,10,3,4,7,8,9]=>[9,8,7,4,3,10,12,11,5,2,6,1]
[1,6,12,2,9,7,8,3,4,5,10,11]=>[11,10,5,4,3,8,7,9,2,12,6,1]
[1,6,11,2,8,12,7,9,10,3,4,5]=>[5,4,3,10,9,7,12,8,2,11,6,1]
[1,6,10,11,12,2,9,7,8,3,4,5]=>[5,4,3,8,7,9,2,12,11,10,6,1]
[12,1,8,9,2,7,6,3,4,5,10,11]=>[11,10,5,4,3,6,7,2,9,8,1,12]
[11,12,1,8,2,7,6,9,10,3,4,5]=>[5,4,3,10,9,6,7,2,8,1,12,11]
[10,11,1,7,12,2,8,9,6,3,4,5]=>[5,4,3,6,9,8,2,12,7,1,11,10]
[9,10,11,12,1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1,12,11,10,9]
[2,7,4,9,1,12,3,5,6,8,10,11]=>[11,10,8,6,5,3,12,1,9,4,7,2]
[2,4,11,1,12,7,10,3,5,6,8,9]=>[9,8,6,5,3,10,7,12,1,11,4,2]
[12,2,4,1,9,8,3,5,6,7,10,11]=>[11,10,7,6,5,3,8,9,1,4,2,12]
[11,2,4,1,8,12,9,10,3,5,6,7]=>[7,6,5,3,10,9,12,8,1,4,2,11]
[10,11,1,12,2,4,9,8,3,5,6,7]=>[7,6,5,3,8,9,4,2,12,1,11,10]
[2,4,9,6,12,3,5,1,7,8,10,11]=>[11,10,8,7,1,5,3,12,6,9,4,2]
[2,4,6,11,12,10,3,1,5,7,8,9]=>[9,8,7,5,1,3,10,12,11,6,4,2]
[2,4,6,12,9,3,5,7,8,1,10,11]=>[11,10,1,8,7,5,3,9,12,6,4,2]
[2,4,6,11,8,12,3,5,7,9,10,1]=>[1,10,9,7,5,3,12,8,11,6,4,2]
[2,4,6,10,11,12,9,3,5,7,8,1]=>[1,8,7,5,3,9,12,11,10,6,4,2]
[12,2,4,8,9,7,3,5,6,1,10,11]=>[11,10,1,6,5,3,7,9,8,4,2,12]
[11,12,2,4,8,7,3,5,6,9,10,1]=>[1,10,9,6,5,3,7,8,4,2,12,11]
[10,11,2,4,7,12,8,9,3,5,6,1]=>[1,6,5,3,9,8,12,7,4,2,11,10]
[9,10,11,12,2,4,8,7,3,5,6,1]=>[1,6,5,3,7,8,4,2,12,11,10,9]
[9,12,2,6,5,3,4,1,7,8,10,11]=>[11,10,8,7,1,4,3,5,6,2,12,9]
[11,5,2,4,12,10,3,1,6,7,8,9]=>[9,8,7,6,1,3,10,12,4,2,5,11]
[12,9,2,6,5,3,4,7,8,1,10,11]=>[11,10,1,8,7,4,3,5,6,2,9,12]
[11,8,2,5,4,12,3,6,7,9,10,1]=>[1,10,9,7,6,3,12,4,5,2,8,11]
[10,5,2,4,11,12,9,3,6,7,8,1]=>[1,8,7,6,3,9,12,11,4,2,5,10]
[12,8,2,5,9,6,7,3,4,1,10,11]=>[11,10,1,4,3,7,6,9,5,2,8,12]
[11,5,12,2,8,6,7,3,4,9,10,1]=>[1,10,9,4,3,7,6,8,2,12,5,11]
[10,5,11,2,7,12,6,8,9,3,4,1]=>[1,4,3,9,8,6,12,7,2,11,5,10]
[9,5,10,11,12,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,12,11,10,5,9]
[12,7,8,9,2,6,5,3,4,1,10,11]=>[11,10,1,4,3,5,6,2,9,8,7,12]
[11,12,7,8,2,6,5,3,4,9,10,1]=>[1,10,9,4,3,5,6,2,8,7,12,11]
[10,11,12,7,2,6,5,8,9,3,4,1]=>[1,4,3,9,8,5,6,2,7,12,11,10]
[9,10,11,6,12,2,7,8,5,3,4,1]=>[1,4,3,5,8,7,2,12,6,11,10,9]
[8,9,10,11,12,7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7,12,11,10,9,8]
[7,9,3,2,1,12,4,5,6,8,10,11]=>[11,10,8,6,5,4,12,1,2,3,9,7]
[11,3,2,1,12,7,10,4,5,6,8,9]=>[9,8,6,5,4,10,7,12,1,2,3,11]
[3,2,1,12,9,8,4,5,6,7,10,11]=>[11,10,7,6,5,4,8,9,12,1,2,3]
[3,2,1,11,8,12,9,10,4,5,6,7]=>[7,6,5,4,10,9,12,8,11,1,2,3]
[3,2,1,10,11,12,9,8,4,5,6,7]=>[7,6,5,4,8,9,12,11,10,1,2,3]
[9,6,3,2,12,4,5,1,7,8,10,11]=>[11,10,8,7,1,5,4,12,2,3,6,9]
[6,3,2,11,12,10,4,1,5,7,8,9]=>[9,8,7,5,1,4,10,12,11,2,3,6]
[6,3,2,12,9,4,5,7,8,1,10,11]=>[11,10,1,8,7,5,4,9,12,2,3,6]
[6,3,2,11,8,12,4,5,7,9,10,1]=>[1,10,9,7,5,4,12,8,11,2,3,6]
[6,3,2,10,11,12,9,4,5,7,8,1]=>[1,8,7,5,4,9,12,11,10,2,3,6]
[3,2,12,8,9,7,4,5,6,1,10,11]=>[11,10,1,6,5,4,7,9,8,12,2,3]
[3,2,11,12,8,7,4,5,6,9,10,1]=>[1,10,9,6,5,4,7,8,12,11,2,3]
[3,2,10,11,7,12,8,9,4,5,6,1]=>[1,6,5,4,9,8,12,7,11,10,2,3]
[3,2,9,10,11,12,8,7,4,5,6,1]=>[1,6,5,4,7,8,12,11,10,9,2,3]
[9,3,12,6,4,5,2,1,7,8,10,11]=>[11,10,8,7,1,2,5,4,6,12,3,9]
[3,11,5,12,10,4,2,1,6,7,8,9]=>[9,8,7,6,1,2,4,10,12,5,11,3]
[3,12,9,6,4,5,2,7,8,1,10,11]=>[11,10,1,8,7,2,5,4,6,9,12,3]
[3,11,8,5,12,4,2,6,7,9,10,1]=>[1,10,9,7,6,2,4,12,5,8,11,3]
[3,10,5,11,2,12,9,4,6,7,8,1]=>[1,8,7,6,4,9,12,2,11,5,10,3]
[3,12,8,5,9,4,6,7,2,1,10,11]=>[11,10,1,2,7,6,4,9,5,8,12,3]
[3,11,5,12,8,4,6,7,2,9,10,1]=>[1,10,9,2,7,6,4,8,12,5,11,3]
[3,10,5,11,7,12,4,6,8,9,2,1]=>[1,2,9,8,6,4,12,7,11,5,10,3]
[3,9,5,10,11,12,8,4,6,7,2,1]=>[1,2,7,6,4,8,12,11,10,5,9,3]
[3,12,7,8,9,6,4,5,2,1,10,11]=>[11,10,1,2,5,4,6,9,8,7,12,3]
[3,11,12,7,8,6,4,5,2,9,10,1]=>[1,10,9,2,5,4,6,8,7,12,11,3]
[3,10,11,12,7,6,4,5,8,9,2,1]=>[1,2,9,8,5,4,6,7,12,11,10,3]
[3,9,10,11,6,12,7,8,4,5,2,1]=>[1,2,5,4,8,7,12,6,11,10,9,3]
[3,8,9,10,11,12,7,6,4,5,2,1]=>[1,2,5,4,6,7,12,11,10,9,8,3]
[9,12,5,6,4,3,2,1,7,8,10,11]=>[11,10,8,7,1,2,3,4,6,5,12,9]
[11,12,10,5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5,10,12,11]
[12,9,5,6,4,3,2,7,8,1,10,11]=>[11,10,1,8,7,2,3,4,6,5,9,12]
[11,8,12,5,4,3,2,6,7,9,10,1]=>[1,10,9,7,6,2,3,4,5,12,8,11]
[10,11,4,3,2,12,9,5,6,7,8,1]=>[1,8,7,6,5,9,12,2,3,4,11,10]
[12,8,9,5,4,3,6,7,2,1,10,11]=>[11,10,1,2,7,6,3,4,5,9,8,12]
[11,12,8,5,4,3,6,7,2,9,10,1]=>[1,10,9,2,7,6,3,4,5,8,12,11]
[10,11,7,4,3,12,5,6,8,9,2,1]=>[1,2,9,8,6,5,12,3,4,7,11,10]
[9,10,4,3,11,12,8,5,6,7,2,1]=>[1,2,7,6,5,8,12,11,3,4,10,9]
[12,7,8,4,9,5,6,3,2,1,10,11]=>[11,10,1,2,3,6,5,9,4,8,7,12]
[11,12,7,4,8,5,6,3,2,9,10,1]=>[1,10,9,2,3,6,5,8,4,7,12,11]
[10,11,4,12,7,5,6,3,8,9,2,1]=>[1,2,9,8,3,6,5,7,12,4,11,10]
[9,10,4,11,6,12,5,7,8,3,2,1]=>[1,2,3,8,7,5,12,6,11,4,10,9]
[8,9,4,10,11,12,7,5,6,3,2,1]=>[1,2,3,6,5,7,12,11,10,4,9,8]
[12,6,7,8,9,5,4,3,2,1,10,11]=>[11,10,1,2,3,4,5,9,8,7,6,12]
[11,12,6,7,8,5,4,3,2,9,10,1]=>[1,10,9,2,3,4,5,8,7,6,12,11]
[10,11,12,6,7,5,4,3,8,9,2,1]=>[1,2,9,8,3,4,5,7,6,12,11,10]
[9,10,11,12,6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6,12,11,10,9]
[8,9,10,11,5,12,6,7,4,3,2,1]=>[1,2,3,4,7,6,12,5,11,10,9,8]
[10,7,11,4,8,12,2,5,9,1,3,6,13]=>[13,6,3,1,9,5,2,12,8,4,11,7,10]
[10,6,11,4,7,2,5,12,13,1,3,8,9]=>[9,8,3,1,13,12,5,2,7,4,11,6,10]
[9,6,10,4,7,2,5,11,1,3,8,12,13]=>[13,12,8,3,1,11,5,2,7,4,10,6,9]
[10,6,3,11,12,2,7,8,13,1,4,5,9]=>[9,5,4,1,13,8,7,2,12,11,3,6,10]
[9,6,3,10,11,2,7,8,1,4,5,12,13]=>[13,12,5,4,1,8,7,2,11,10,3,6,9]
[9,5,3,10,2,6,11,12,1,4,7,8,13]=>[13,8,7,4,1,12,11,6,2,10,3,5,9]
[10,11,6,7,12,3,4,8,13,1,2,5,9]=>[9,5,2,1,13,8,4,3,12,7,6,11,10]
[9,10,6,7,11,3,4,8,1,2,5,12,13]=>[13,12,5,2,1,8,4,3,11,7,6,10,9]
[9,10,5,6,3,4,11,12,1,2,7,8,13]=>[13,8,7,2,1,12,11,4,3,6,5,10,9]
[9,5,10,11,2,6,7,12,1,3,4,8,13]=>[13,8,4,3,1,12,7,6,2,11,10,5,9]
[13,10,11,12,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,12,11,10,13]
[12,13,9,10,11,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,11,10,9,13,12]
[13,11,12,8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8,12,11,13]
[2,3,4,5,6,7,8,9,10,13,12,1,11]=>[11,1,12,13,10,9,8,7,6,5,4,3,2]
[4,3,1,5,6,7,8,9,10,11,12,13,2]=>[2,13,12,11,10,9,8,7,6,5,1,3,4]
[11,1,9,2,13,3,8,4,10,5,12,6,7]=>[7,6,12,5,10,4,8,3,13,2,9,1,11]
[13,1,12,2,7,3,9,4,10,11,5,6,8]=>[8,6,5,11,10,4,9,3,7,2,12,1,13]
[13,1,11,2,6,3,10,9,4,5,12,7,8]=>[8,7,12,5,4,9,10,3,6,2,11,1,13]
[13,1,12,2,7,3,8,10,4,11,5,6,9]=>[9,6,5,11,4,10,8,3,7,2,12,1,13]
[13,1,12,2,6,3,8,11,10,4,5,7,9]=>[9,7,5,4,10,11,8,3,6,2,12,1,13]
[9,1,5,2,11,13,3,4,10,6,12,7,8]=>[8,7,12,6,10,4,3,13,11,2,5,1,9]
[13,1,5,2,12,8,3,4,10,11,6,7,9]=>[9,7,6,11,10,4,3,8,12,2,5,1,13]
[13,1,11,2,6,7,3,10,4,5,12,8,9]=>[9,8,12,5,4,10,3,7,6,2,11,1,13]
[10,1,5,2,11,7,13,3,4,6,12,8,9]=>[9,8,12,6,4,3,13,7,11,2,5,1,10]
[13,1,12,2,8,7,3,9,4,11,5,6,10]=>[10,6,5,11,4,9,3,7,8,2,12,1,13]
[13,1,12,2,6,8,3,9,11,4,5,7,10]=>[10,7,5,4,11,9,3,8,6,2,12,1,13]
[13,1,5,2,12,9,8,3,4,11,6,7,10]=>[10,7,6,11,4,3,8,9,12,2,5,1,13]
[13,1,12,2,6,7,9,3,11,4,5,8,10]=>[10,8,5,4,11,3,9,7,6,2,12,1,13]
[11,1,5,2,12,7,13,9,3,4,6,8,10]=>[10,8,6,4,3,9,13,7,12,2,5,1,11]
[13,1,4,11,2,3,9,5,10,6,12,7,8]=>[8,7,12,6,10,5,9,3,2,11,4,1,13]
[13,1,4,12,2,3,8,5,10,11,6,7,9]=>[9,7,6,11,10,5,8,3,2,12,4,1,13]
[7,1,4,11,2,3,13,10,5,6,12,8,9]=>[9,8,12,6,5,10,13,3,2,11,4,1,7]
[13,1,4,12,2,3,8,9,5,11,6,7,10]=>[10,7,6,11,5,9,8,3,2,12,4,1,13]
[7,1,4,12,2,3,13,9,11,5,6,8,10]=>[10,8,6,5,11,9,13,3,2,12,4,1,7]
[13,1,6,5,2,11,3,4,10,7,12,8,9]=>[9,8,12,7,10,4,3,11,2,5,6,1,13]
[9,1,6,5,2,13,3,4,12,11,7,8,10]=>[10,8,7,11,12,4,3,13,2,5,6,1,9]
[13,1,4,11,6,2,3,5,10,7,12,8,9]=>[9,8,12,7,10,5,3,2,6,11,4,1,13]
[13,1,4,9,6,2,3,5,12,11,7,8,10]=>[10,8,7,11,12,5,3,2,6,9,4,1,13]
[8,1,11,6,2,7,3,13,4,5,12,9,10]=>[10,9,12,5,4,13,3,7,2,6,11,1,8]
[13,1,11,5,2,7,8,3,4,6,12,9,10]=>[10,9,12,6,4,3,8,7,2,5,11,1,13]
[8,1,4,11,7,2,3,13,5,6,12,9,10]=>[10,9,12,6,5,13,3,2,7,11,4,1,8]
[13,1,11,5,6,2,8,3,4,7,12,9,10]=>[10,9,12,7,4,3,8,2,6,5,11,1,13]
[13,1,4,11,6,8,2,3,5,7,12,9,10]=>[10,9,12,7,5,3,2,8,6,11,4,1,13]
[8,1,10,13,2,7,3,9,4,12,5,6,11]=>[11,6,5,12,4,9,3,7,2,13,10,1,8]
[13,1,12,6,2,8,3,9,10,4,5,7,11]=>[11,7,5,4,10,9,3,8,2,6,12,1,13]
[13,1,10,5,2,9,8,3,4,12,6,7,11]=>[11,7,6,12,4,3,8,9,2,5,10,1,13]
[13,1,12,6,2,7,9,3,10,4,5,8,11]=>[11,8,5,4,10,3,9,7,2,6,12,1,13]
[13,1,12,5,2,7,10,9,3,4,6,8,11]=>[11,8,6,4,3,9,10,7,2,5,12,1,13]
[8,1,4,10,13,2,3,9,5,12,6,7,11]=>[11,7,6,12,5,9,3,2,13,10,4,1,8]
[13,1,4,12,7,2,3,9,10,5,6,8,11]=>[11,8,6,5,10,9,3,2,7,12,4,1,13]
[13,1,10,5,6,2,9,3,4,12,7,8,11]=>[11,8,7,12,4,3,9,2,6,5,10,1,13]
[9,1,4,10,6,13,2,3,5,12,7,8,11]=>[11,8,7,12,5,3,2,13,6,10,4,1,9]
[13,1,12,7,6,2,8,3,10,4,5,9,11]=>[11,9,5,4,10,3,8,2,6,7,12,1,13]
[13,1,12,5,7,2,8,10,3,4,6,9,11]=>[11,9,6,4,3,10,8,2,7,5,12,1,13]
[13,1,4,12,8,7,2,3,10,5,6,9,11]=>[11,9,6,5,10,3,2,7,8,12,4,1,13]
[13,1,12,5,6,8,2,10,3,4,7,9,11]=>[11,9,7,4,3,10,2,8,6,5,12,1,13]
[10,1,4,13,6,12,8,2,3,5,7,9,11]=>[11,9,7,5,3,2,8,12,6,13,4,1,10]
[13,3,1,2,11,4,9,5,10,6,12,7,8]=>[8,7,12,6,10,5,9,4,11,2,1,3,13]
[13,3,1,2,12,4,8,5,10,11,6,7,9]=>[9,7,6,11,10,5,8,4,12,2,1,3,13]
[11,3,1,2,7,4,13,10,5,6,12,8,9]=>[9,8,12,6,5,10,13,4,7,2,1,3,11]
[13,3,1,2,12,4,8,9,5,11,6,7,10]=>[10,7,6,11,5,9,8,4,12,2,1,3,13]
[12,3,1,2,7,4,13,9,11,5,6,8,10]=>[10,8,6,5,11,9,13,4,7,2,1,3,12]
[13,3,1,2,6,11,4,5,10,7,12,8,9]=>[9,8,12,7,10,5,4,11,6,2,1,3,13]
[9,3,1,2,6,13,4,5,12,11,7,8,10]=>[10,8,7,11,12,5,4,13,6,2,1,3,9]
[11,3,1,2,8,7,4,13,5,6,12,9,10]=>[10,9,12,6,5,13,4,7,8,2,1,3,11]
[13,3,1,2,6,11,8,4,5,7,12,9,10]=>[10,9,12,7,5,4,8,11,6,2,1,3,13]
[10,3,1,2,13,8,4,9,5,12,6,7,11]=>[11,7,6,12,5,9,4,8,13,2,1,3,10]
[13,3,1,2,12,7,4,9,10,5,6,8,11]=>[11,8,6,5,10,9,4,7,12,2,1,3,13]
[10,3,1,2,6,13,9,4,5,12,7,8,11]=>[11,8,7,12,5,4,9,13,6,2,1,3,10]
[13,3,1,2,12,7,8,4,10,5,6,9,11]=>[11,9,6,5,10,4,8,7,12,2,1,3,13]
[13,3,1,2,6,12,8,10,4,5,7,9,11]=>[11,9,7,5,4,10,8,12,6,2,1,3,13]
[11,4,1,5,2,3,13,6,10,7,12,8,9]=>[9,8,12,7,10,6,13,3,2,5,1,4,11]
[13,4,1,5,2,3,9,6,12,11,7,8,10]=>[10,8,7,11,12,6,9,3,2,5,1,4,13]
[11,4,1,5,2,3,8,13,6,7,12,9,10]=>[10,9,12,7,6,13,8,3,2,5,1,4,11]
[13,4,1,5,2,3,10,9,6,12,7,8,11]=>[11,8,7,12,6,9,10,3,2,5,1,4,13]
[12,4,1,5,2,3,8,13,10,6,7,9,11]=>[11,9,7,6,10,13,8,3,2,5,1,4,12]
[11,3,5,1,2,4,13,6,10,7,12,8,9]=>[9,8,12,7,10,6,13,4,2,1,5,3,11]
[13,3,5,1,2,4,9,6,12,11,7,8,10]=>[10,8,7,11,12,6,9,4,2,1,5,3,13]
[11,3,5,1,2,4,8,13,6,7,12,9,10]=>[10,9,12,7,6,13,8,4,2,1,5,3,11]
[13,3,5,1,2,4,10,9,6,12,7,8,11]=>[11,8,7,12,6,9,10,4,2,1,5,3,13]
[12,3,5,1,2,4,8,13,10,6,7,9,11]=>[11,9,7,6,10,13,8,4,2,1,5,3,12]
[6,13,1,5,2,7,3,4,11,8,12,9,10]=>[10,9,12,8,11,4,3,7,2,5,1,13,6]
[6,13,1,5,2,7,3,4,10,12,8,9,11]=>[11,9,8,12,10,4,3,7,2,5,1,13,6]
[13,4,1,7,6,2,3,5,11,8,12,9,10]=>[10,9,12,8,11,5,3,2,6,7,1,4,13]
[13,4,1,7,6,2,3,5,10,12,8,9,11]=>[11,9,8,12,10,5,3,2,6,7,1,4,13]
[6,3,13,1,2,7,4,5,11,8,12,9,10]=>[10,9,12,8,11,5,4,7,2,1,13,3,6]
[6,3,13,1,2,7,4,5,10,12,8,9,11]=>[11,9,8,12,10,5,4,7,2,1,13,3,6]
[13,5,4,1,7,2,3,6,11,8,12,9,10]=>[10,9,12,8,11,6,3,2,7,1,4,5,13]
[13,5,4,1,7,2,3,6,10,12,8,9,11]=>[11,9,8,12,10,6,3,2,7,1,4,5,13]
[7,3,13,5,1,2,4,6,11,8,12,9,10]=>[10,9,12,8,11,6,4,2,1,5,13,3,7]
[7,3,13,5,1,2,4,6,10,12,8,9,11]=>[11,9,8,12,10,6,4,2,1,5,13,3,7]
[13,8,1,6,2,7,3,9,4,5,12,10,11]=>[11,10,12,5,4,9,3,7,2,6,1,8,13]
[13,9,1,5,2,7,8,3,4,6,12,10,11]=>[11,10,12,6,4,3,8,7,2,5,1,9,13]
[8,4,1,13,7,2,3,9,5,6,12,10,11]=>[11,10,12,6,5,9,3,2,7,13,1,4,8]
[13,9,1,5,6,2,8,3,4,7,12,10,11]=>[11,10,12,7,4,3,8,2,6,5,1,9,13]
[9,4,1,13,6,8,2,3,5,7,12,10,11]=>[11,10,12,7,5,3,2,8,6,13,1,4,9]
[13,3,8,1,2,7,4,9,5,6,12,10,11]=>[11,10,12,6,5,9,4,7,2,1,8,3,13]
[6,3,13,1,2,9,8,4,5,7,12,10,11]=>[11,10,12,7,5,4,8,9,2,1,13,3,6]
[8,5,4,1,13,2,3,9,6,7,12,10,11]=>[11,10,12,7,6,9,3,2,13,1,4,5,8]
[13,3,8,5,1,2,4,9,6,7,12,10,11]=>[11,10,12,7,6,9,4,2,1,5,8,3,13]
[7,13,5,1,6,2,9,3,4,8,12,10,11]=>[11,10,12,8,4,3,9,2,6,1,5,13,7]
[13,9,4,1,6,7,2,3,5,8,12,10,11]=>[11,10,12,8,5,3,2,7,6,1,4,9,13]
[7,3,13,6,1,2,9,4,5,8,12,10,11]=>[11,10,12,8,5,4,9,2,1,6,13,3,7]
[13,9,4,5,1,7,2,3,6,8,12,10,11]=>[11,10,12,8,6,3,2,7,1,5,4,9,13]
[13,3,9,5,7,1,2,4,6,8,12,10,11]=>[11,10,12,8,6,4,2,1,7,5,9,3,13]
[10,8,1,13,2,7,3,9,4,11,5,6,12]=>[12,6,5,11,4,9,3,7,2,13,1,8,10]
[13,11,1,6,2,8,3,9,10,4,5,7,12]=>[12,7,5,4,10,9,3,8,2,6,1,11,13]
[13,10,1,5,2,9,8,3,4,11,6,7,12]=>[12,7,6,11,4,3,8,9,2,5,1,10,13]
[13,11,1,6,2,7,9,3,10,4,5,8,12]=>[12,8,5,4,10,3,9,7,2,6,1,11,13]
[13,11,1,5,2,7,10,9,3,4,6,8,12]=>[12,8,6,4,3,9,10,7,2,5,1,11,13]
[8,4,1,10,13,2,3,9,5,11,6,7,12]=>[12,7,6,11,5,9,3,2,13,10,1,4,8]
[13,4,1,11,7,2,3,9,10,5,6,8,12]=>[12,8,6,5,10,9,3,2,7,11,1,4,13]
[13,10,1,5,6,2,9,3,4,11,7,8,12]=>[12,8,7,11,4,3,9,2,6,5,1,10,13]
[9,4,1,10,6,13,2,3,5,11,7,8,12]=>[12,8,7,11,5,3,2,13,6,10,1,4,9]
[13,11,1,7,6,2,8,3,10,4,5,9,12]=>[12,9,5,4,10,3,8,2,6,7,1,11,13]
[13,11,1,5,7,2,8,10,3,4,6,9,12]=>[12,9,6,4,3,10,8,2,7,5,1,11,13]
[13,4,1,11,8,7,2,3,10,5,6,9,12]=>[12,9,6,5,10,3,2,7,8,11,1,4,13]
[13,11,1,5,6,8,2,10,3,4,7,9,12]=>[12,9,7,4,3,10,2,8,6,5,1,11,13]
[10,4,1,11,6,13,8,2,3,5,7,9,12]=>[12,9,7,5,3,2,8,13,6,11,1,4,10]
[13,3,10,1,2,8,4,9,5,11,6,7,12]=>[12,7,6,11,5,9,4,8,2,1,10,3,13]
[13,3,11,1,2,7,4,9,10,5,6,8,12]=>[12,8,6,5,10,9,4,7,2,1,11,3,13]
[6,3,10,1,2,13,9,4,5,11,7,8,12]=>[12,8,7,11,5,4,9,13,2,1,10,3,6]
[13,3,11,1,2,7,8,4,10,5,6,9,12]=>[12,9,6,5,10,4,8,7,2,1,11,3,13]
[6,3,11,1,2,13,8,10,4,5,7,9,12]=>[12,9,7,5,4,10,8,13,2,1,11,3,6]
[13,5,4,1,10,2,3,9,6,11,7,8,12]=>[12,8,7,11,6,9,3,2,10,1,4,5,13]
[8,5,4,1,13,2,3,11,10,6,7,9,12]=>[12,9,7,6,10,11,3,2,13,1,4,5,8]
[13,3,10,5,1,2,4,9,6,11,7,8,12]=>[12,8,7,11,6,9,4,2,1,5,10,3,13]
[13,3,8,5,1,2,4,11,10,6,7,9,12]=>[12,9,7,6,10,11,4,2,1,5,8,3,13]
[7,10,5,1,6,2,13,3,4,11,8,9,12]=>[12,9,8,11,4,3,13,2,6,1,5,10,7]
[13,10,4,1,6,7,2,3,5,11,8,9,12]=>[12,9,8,11,5,3,2,7,6,1,4,10,13]
[7,3,10,6,1,2,13,4,5,11,8,9,12]=>[12,9,8,11,5,4,13,2,1,6,10,3,7]
[13,10,4,5,1,7,2,3,6,11,8,9,12]=>[12,9,8,11,6,3,2,7,1,5,4,10,13]
[13,3,10,5,7,1,2,4,6,11,8,9,12]=>[12,9,8,11,6,4,2,1,7,5,10,3,13]
[7,9,13,1,6,2,8,3,11,4,5,10,12]=>[12,10,5,4,11,3,8,2,6,1,13,9,7]
[13,11,5,1,7,2,8,9,3,4,6,10,12]=>[12,10,6,4,3,9,8,2,7,1,5,11,13]
[13,9,4,1,8,7,2,3,11,5,6,10,12]=>[12,10,6,5,11,3,2,7,8,1,4,9,13]
[13,11,5,1,6,8,2,9,3,4,7,10,12]=>[12,10,7,4,3,9,2,8,6,1,5,11,13]
[13,11,4,1,6,9,8,2,3,5,7,10,12]=>[12,10,7,5,3,2,8,9,6,1,4,11,13]
[7,3,9,13,1,2,8,4,11,5,6,10,12]=>[12,10,6,5,11,4,8,2,1,13,9,3,7]
[13,3,11,6,1,2,8,9,4,5,7,10,12]=>[12,10,7,5,4,9,8,2,1,6,11,3,13]
[13,9,4,5,1,8,2,3,11,6,7,10,12]=>[12,10,7,6,11,3,2,8,1,5,4,9,13]
[8,3,9,5,13,1,2,4,11,6,7,10,12]=>[12,10,7,6,11,4,2,1,13,5,9,3,8]
[13,11,6,5,1,7,2,9,3,4,8,10,12]=>[12,10,8,4,3,9,2,7,1,5,6,11,13]
[13,11,4,6,1,7,9,2,3,5,8,10,12]=>[12,10,8,5,3,2,9,7,1,6,4,11,13]
[13,3,11,7,6,1,2,9,4,5,8,10,12]=>[12,10,8,5,4,9,2,1,6,7,11,3,13]
[13,11,4,5,7,1,9,2,3,6,8,10,12]=>[12,10,8,6,3,2,9,1,7,5,4,11,13]
[9,3,13,5,11,7,1,2,4,6,8,10,12]=>[12,10,8,6,4,2,1,7,11,5,13,3,9]
[13,11,12,9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9,12,11,13]
[13,11,12,9,10,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,10,9,12,11,13]
[13,12,9,10,11,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,11,10,9,12,13]
[13,12,9,10,11,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,11,10,9,12,13]
[13,12,10,11,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,11,10,12,13]
[12,13,9,10,11,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,11,10,9,13,12]
[12,13,10,11,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,11,10,13,12]
[13,6,9,12,3,5,8,11,1,2,4,7,10]=>[10,7,4,2,1,11,8,5,3,12,9,6,13]
[9,13,8,12,3,5,7,11,1,2,4,6,10]=>[10,6,4,2,1,11,7,5,3,12,8,13,9]
[13,12,8,11,3,5,7,10,1,2,4,6,9]=>[9,6,4,2,1,10,7,5,3,11,8,12,13]
[9,13,5,8,12,4,7,11,1,2,3,6,10]=>[10,6,3,2,1,11,7,4,12,8,5,13,9]
[13,12,5,8,11,4,7,10,1,2,3,6,9]=>[9,6,3,2,1,10,7,4,11,8,5,12,13]
[13,8,12,7,11,4,6,10,1,2,3,5,9]=>[9,5,3,2,1,10,6,4,11,7,12,8,13]
[9,13,5,8,12,2,4,7,11,1,3,6,10]=>[10,6,3,1,11,7,4,2,12,8,5,13,9]
[13,12,5,8,11,2,4,7,10,1,3,6,9]=>[9,6,3,1,10,7,4,2,11,8,5,12,13]
[13,8,12,7,11,2,4,6,10,1,3,5,9]=>[9,5,3,1,10,6,4,2,11,7,12,8,13]
[13,8,12,4,7,11,3,6,10,1,2,5,9]=>[9,5,2,1,10,6,3,11,7,4,12,8,13]
[4,3,7,10,2,6,9,12,1,5,8,11,13]=>[13,11,8,5,1,12,9,6,2,10,7,3,4]
[4,8,3,7,2,6,10,12,1,5,9,11,13]=>[13,11,9,5,1,12,10,6,2,7,3,8,4]
[5,4,3,8,2,7,10,12,1,6,9,11,13]=>[13,11,9,6,1,12,10,7,2,8,3,4,5]
[4,8,3,7,11,2,6,10,1,5,9,12,13]=>[13,12,9,5,1,10,6,2,11,7,3,8,4]
[5,4,3,8,11,2,7,10,1,6,9,12,13]=>[13,12,9,6,1,10,7,2,11,8,3,4,5]
[5,4,9,3,8,2,7,11,1,6,10,12,13]=>[13,12,10,6,1,11,7,2,8,3,9,4,5]
[4,8,3,7,11,2,6,10,13,1,5,9,12]=>[12,9,5,1,13,10,6,2,11,7,3,8,4]
[5,4,3,8,11,2,7,10,13,1,6,9,12]=>[12,9,6,1,13,10,7,2,11,8,3,4,5]
[5,4,9,3,8,2,7,11,13,1,6,10,12]=>[12,10,6,1,13,11,7,2,8,3,9,4,5]
[5,4,9,3,8,12,2,7,11,1,6,10,13]=>[13,10,6,1,11,7,2,12,8,3,9,4,5]
[14,3,2,5,4,7,6,9,8,11,10,13,12,1]=>[1,12,13,10,11,8,9,6,7,4,5,2,3,14]
[14,3,2,5,4,7,6,9,8,13,12,11,10,1]=>[1,10,11,12,13,8,9,6,7,4,5,2,3,14]
[14,3,2,5,4,7,6,11,10,9,8,13,12,1]=>[1,12,13,8,9,10,11,6,7,4,5,2,3,14]
[14,3,2,5,4,7,6,13,10,9,12,11,8,1]=>[1,8,11,12,9,10,13,6,7,4,5,2,3,14]
[14,3,2,5,4,7,6,13,12,11,10,9,8,1]=>[1,8,9,10,11,12,13,6,7,4,5,2,3,14]
[14,3,2,5,4,9,8,7,6,11,10,13,12,1]=>[1,12,13,10,11,6,7,8,9,4,5,2,3,14]
[14,3,2,5,4,9,8,7,6,13,12,11,10,1]=>[1,10,11,12,13,6,7,8,9,4,5,2,3,14]
[14,3,2,5,4,11,8,7,10,9,6,13,12,1]=>[1,12,13,6,9,10,7,8,11,4,5,2,3,14]
[14,3,2,5,4,13,8,7,10,9,12,11,6,1]=>[1,6,11,12,9,10,7,8,13,4,5,2,3,14]
[14,3,2,5,4,13,8,7,12,11,10,9,6,1]=>[1,6,9,10,11,12,7,8,13,4,5,2,3,14]
[14,3,2,5,4,11,10,9,8,7,6,13,12,1]=>[1,12,13,6,7,8,9,10,11,4,5,2,3,14]
[14,3,2,5,4,13,10,9,8,7,12,11,6,1]=>[1,6,11,12,7,8,9,10,13,4,5,2,3,14]
[14,3,2,5,4,13,12,9,8,11,10,7,6,1]=>[1,6,7,10,11,8,9,12,13,4,5,2,3,14]
[14,3,2,5,4,13,12,11,10,9,8,7,6,1]=>[1,6,7,8,9,10,11,12,13,4,5,2,3,14]
[14,3,2,7,6,5,4,9,8,11,10,13,12,1]=>[1,12,13,10,11,8,9,4,5,6,7,2,3,14]
[14,3,2,7,6,5,4,9,8,13,12,11,10,1]=>[1,10,11,12,13,8,9,4,5,6,7,2,3,14]
[14,3,2,7,6,5,4,11,10,9,8,13,12,1]=>[1,12,13,8,9,10,11,4,5,6,7,2,3,14]
[14,3,2,7,6,5,4,13,10,9,12,11,8,1]=>[1,8,11,12,9,10,13,4,5,6,7,2,3,14]
[14,3,2,7,6,5,4,13,12,11,10,9,8,1]=>[1,8,9,10,11,12,13,4,5,6,7,2,3,14]
[14,3,2,9,6,5,8,7,4,11,10,13,12,1]=>[1,12,13,10,11,4,7,8,5,6,9,2,3,14]
[14,3,2,9,6,5,8,7,4,13,12,11,10,1]=>[1,10,11,12,13,4,7,8,5,6,9,2,3,14]
[14,3,2,11,6,5,8,7,10,9,4,13,12,1]=>[1,12,13,4,9,10,7,8,5,6,11,2,3,14]
[14,3,2,13,6,5,8,7,10,9,12,11,4,1]=>[1,4,11,12,9,10,7,8,5,6,13,2,3,14]
[14,3,2,13,6,5,8,7,12,11,10,9,4,1]=>[1,4,9,10,11,12,7,8,5,6,13,2,3,14]
[14,3,2,11,6,5,10,9,8,7,4,13,12,1]=>[1,12,13,4,7,8,9,10,5,6,11,2,3,14]
[14,3,2,13,6,5,10,9,8,7,12,11,4,1]=>[1,4,11,12,7,8,9,10,5,6,13,2,3,14]
[14,3,2,13,6,5,12,9,8,11,10,7,4,1]=>[1,4,7,10,11,8,9,12,5,6,13,2,3,14]
[14,3,2,13,6,5,12,11,10,9,8,7,4,1]=>[1,4,7,8,9,10,11,12,5,6,13,2,3,14]
[14,3,2,9,8,7,6,5,4,11,10,13,12,1]=>[1,12,13,10,11,4,5,6,7,8,9,2,3,14]
[14,3,2,9,8,7,6,5,4,13,12,11,10,1]=>[1,10,11,12,13,4,5,6,7,8,9,2,3,14]
[14,3,2,11,8,7,6,5,10,9,4,13,12,1]=>[1,12,13,4,9,10,5,6,7,8,11,2,3,14]
[14,3,2,13,8,7,6,5,10,9,12,11,4,1]=>[1,4,11,12,9,10,5,6,7,8,13,2,3,14]
[14,3,2,13,8,7,6,5,12,11,10,9,4,1]=>[1,4,9,10,11,12,5,6,7,8,13,2,3,14]
[14,3,2,11,10,7,6,9,8,5,4,13,12,1]=>[1,12,13,4,5,8,9,6,7,10,11,2,3,14]
[14,3,2,13,10,7,6,9,8,5,12,11,4,1]=>[1,4,11,12,5,8,9,6,7,10,13,2,3,14]
[14,3,2,13,12,7,6,9,8,11,10,5,4,1]=>[1,4,5,10,11,8,9,6,7,12,13,2,3,14]
[14,3,2,13,12,7,6,11,10,9,8,5,4,1]=>[1,4,5,8,9,10,11,6,7,12,13,2,3,14]
[14,3,2,11,10,9,8,7,6,5,4,13,12,1]=>[1,12,13,4,5,6,7,8,9,10,11,2,3,14]
[14,3,2,13,10,9,8,7,6,5,12,11,4,1]=>[1,4,11,12,5,6,7,8,9,10,13,2,3,14]
[14,3,2,13,12,9,8,7,6,11,10,5,4,1]=>[1,4,5,10,11,6,7,8,9,12,13,2,3,14]
[14,3,2,13,12,11,8,7,10,9,6,5,4,1]=>[1,4,5,6,9,10,7,8,11,12,13,2,3,14]
[14,3,2,13,12,11,10,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,10,11,12,13,2,3,14]
[14,5,4,3,2,7,6,9,8,11,10,13,12,1]=>[1,12,13,10,11,8,9,6,7,2,3,4,5,14]
[14,5,4,3,2,7,6,9,8,13,12,11,10,1]=>[1,10,11,12,13,8,9,6,7,2,3,4,5,14]
[14,5,4,3,2,7,6,11,10,9,8,13,12,1]=>[1,12,13,8,9,10,11,6,7,2,3,4,5,14]
[14,5,4,3,2,7,6,13,10,9,12,11,8,1]=>[1,8,11,12,9,10,13,6,7,2,3,4,5,14]
[14,5,4,3,2,7,6,13,12,11,10,9,8,1]=>[1,8,9,10,11,12,13,6,7,2,3,4,5,14]
[14,5,4,3,2,9,8,7,6,11,10,13,12,1]=>[1,12,13,10,11,6,7,8,9,2,3,4,5,14]
[14,5,4,3,2,9,8,7,6,13,12,11,10,1]=>[1,10,11,12,13,6,7,8,9,2,3,4,5,14]
[14,5,4,3,2,11,8,7,10,9,6,13,12,1]=>[1,12,13,6,9,10,7,8,11,2,3,4,5,14]
[14,5,4,3,2,13,8,7,10,9,12,11,6,1]=>[1,6,11,12,9,10,7,8,13,2,3,4,5,14]
[14,5,4,3,2,13,8,7,12,11,10,9,6,1]=>[1,6,9,10,11,12,7,8,13,2,3,4,5,14]
[14,5,4,3,2,11,10,9,8,7,6,13,12,1]=>[1,12,13,6,7,8,9,10,11,2,3,4,5,14]
[14,5,4,3,2,13,10,9,8,7,12,11,6,1]=>[1,6,11,12,7,8,9,10,13,2,3,4,5,14]
[14,5,4,3,2,13,12,9,8,11,10,7,6,1]=>[1,6,7,10,11,8,9,12,13,2,3,4,5,14]
[14,5,4,3,2,13,12,11,10,9,8,7,6,1]=>[1,6,7,8,9,10,11,12,13,2,3,4,5,14]
[14,7,4,3,6,5,2,9,8,11,10,13,12,1]=>[1,12,13,10,11,8,9,2,5,6,3,4,7,14]
[14,7,4,3,6,5,2,9,8,13,12,11,10,1]=>[1,10,11,12,13,8,9,2,5,6,3,4,7,14]
[14,7,4,3,6,5,2,11,10,9,8,13,12,1]=>[1,12,13,8,9,10,11,2,5,6,3,4,7,14]
[14,7,4,3,6,5,2,13,10,9,12,11,8,1]=>[1,8,11,12,9,10,13,2,5,6,3,4,7,14]
[14,7,4,3,6,5,2,13,12,11,10,9,8,1]=>[1,8,9,10,11,12,13,2,5,6,3,4,7,14]
[14,9,4,3,6,5,8,7,2,11,10,13,12,1]=>[1,12,13,10,11,2,7,8,5,6,3,4,9,14]
[14,9,4,3,6,5,8,7,2,13,12,11,10,1]=>[1,10,11,12,13,2,7,8,5,6,3,4,9,14]
[14,11,4,3,6,5,8,7,10,9,2,13,12,1]=>[1,12,13,2,9,10,7,8,5,6,3,4,11,14]
[14,13,4,3,6,5,8,7,10,9,12,11,2,1]=>[1,2,11,12,9,10,7,8,5,6,3,4,13,14]
[14,13,4,3,6,5,8,7,12,11,10,9,2,1]=>[1,2,9,10,11,12,7,8,5,6,3,4,13,14]
[14,11,4,3,6,5,10,9,8,7,2,13,12,1]=>[1,12,13,2,7,8,9,10,5,6,3,4,11,14]
[14,13,4,3,6,5,10,9,8,7,12,11,2,1]=>[1,2,11,12,7,8,9,10,5,6,3,4,13,14]
[14,13,4,3,6,5,12,9,8,11,10,7,2,1]=>[1,2,7,10,11,8,9,12,5,6,3,4,13,14]
[14,13,4,3,6,5,12,11,10,9,8,7,2,1]=>[1,2,7,8,9,10,11,12,5,6,3,4,13,14]
[14,9,4,3,8,7,6,5,2,11,10,13,12,1]=>[1,12,13,10,11,2,5,6,7,8,3,4,9,14]
[14,9,4,3,8,7,6,5,2,13,12,11,10,1]=>[1,10,11,12,13,2,5,6,7,8,3,4,9,14]
[14,11,4,3,8,7,6,5,10,9,2,13,12,1]=>[1,12,13,2,9,10,5,6,7,8,3,4,11,14]
[14,13,4,3,8,7,6,5,10,9,12,11,2,1]=>[1,2,11,12,9,10,5,6,7,8,3,4,13,14]
[14,13,4,3,8,7,6,5,12,11,10,9,2,1]=>[1,2,9,10,11,12,5,6,7,8,3,4,13,14]
[14,11,4,3,10,7,6,9,8,5,2,13,12,1]=>[1,12,13,2,5,8,9,6,7,10,3,4,11,14]
[14,13,4,3,10,7,6,9,8,5,12,11,2,1]=>[1,2,11,12,5,8,9,6,7,10,3,4,13,14]
[14,13,4,3,12,7,6,9,8,11,10,5,2,1]=>[1,2,5,10,11,8,9,6,7,12,3,4,13,14]
[14,13,4,3,12,7,6,11,10,9,8,5,2,1]=>[1,2,5,8,9,10,11,6,7,12,3,4,13,14]
[14,11,4,3,10,9,8,7,6,5,2,13,12,1]=>[1,12,13,2,5,6,7,8,9,10,3,4,11,14]
[14,13,4,3,10,9,8,7,6,5,12,11,2,1]=>[1,2,11,12,5,6,7,8,9,10,3,4,13,14]
[14,13,4,3,12,9,8,7,6,11,10,5,2,1]=>[1,2,5,10,11,6,7,8,9,12,3,4,13,14]
[14,13,4,3,12,11,8,7,10,9,6,5,2,1]=>[1,2,5,6,9,10,7,8,11,12,3,4,13,14]
[14,13,4,3,12,11,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,11,12,3,4,13,14]
[14,7,6,5,4,3,2,9,8,11,10,13,12,1]=>[1,12,13,10,11,8,9,2,3,4,5,6,7,14]
[14,7,6,5,4,3,2,9,8,13,12,11,10,1]=>[1,10,11,12,13,8,9,2,3,4,5,6,7,14]
[14,7,6,5,4,3,2,11,10,9,8,13,12,1]=>[1,12,13,8,9,10,11,2,3,4,5,6,7,14]
[14,7,6,5,4,3,2,13,10,9,12,11,8,1]=>[1,8,11,12,9,10,13,2,3,4,5,6,7,14]
[14,7,6,5,4,3,2,13,12,11,10,9,8,1]=>[1,8,9,10,11,12,13,2,3,4,5,6,7,14]
[14,9,6,5,4,3,8,7,2,11,10,13,12,1]=>[1,12,13,10,11,2,7,8,3,4,5,6,9,14]
[14,9,6,5,4,3,8,7,2,13,12,11,10,1]=>[1,10,11,12,13,2,7,8,3,4,5,6,9,14]
[14,11,6,5,4,3,8,7,10,9,2,13,12,1]=>[1,12,13,2,9,10,7,8,3,4,5,6,11,14]
[14,13,6,5,4,3,8,7,10,9,12,11,2,1]=>[1,2,11,12,9,10,7,8,3,4,5,6,13,14]
[14,13,6,5,4,3,8,7,12,11,10,9,2,1]=>[1,2,9,10,11,12,7,8,3,4,5,6,13,14]
[14,11,6,5,4,3,10,9,8,7,2,13,12,1]=>[1,12,13,2,7,8,9,10,3,4,5,6,11,14]
[14,13,6,5,4,3,10,9,8,7,12,11,2,1]=>[1,2,11,12,7,8,9,10,3,4,5,6,13,14]
[14,13,6,5,4,3,12,9,8,11,10,7,2,1]=>[1,2,7,10,11,8,9,12,3,4,5,6,13,14]
[14,13,6,5,4,3,12,11,10,9,8,7,2,1]=>[1,2,7,8,9,10,11,12,3,4,5,6,13,14]
[14,9,8,5,4,7,6,3,2,11,10,13,12,1]=>[1,12,13,10,11,2,3,6,7,4,5,8,9,14]
[14,9,8,5,4,7,6,3,2,13,12,11,10,1]=>[1,10,11,12,13,2,3,6,7,4,5,8,9,14]
[14,11,8,5,4,7,6,3,10,9,2,13,12,1]=>[1,12,13,2,9,10,3,6,7,4,5,8,11,14]
[14,13,8,5,4,7,6,3,10,9,12,11,2,1]=>[1,2,11,12,9,10,3,6,7,4,5,8,13,14]
[14,13,8,5,4,7,6,3,12,11,10,9,2,1]=>[1,2,9,10,11,12,3,6,7,4,5,8,13,14]
[14,11,10,5,4,7,6,9,8,3,2,13,12,1]=>[1,12,13,2,3,8,9,6,7,4,5,10,11,14]
[14,13,10,5,4,7,6,9,8,3,12,11,2,1]=>[1,2,11,12,3,8,9,6,7,4,5,10,13,14]
[14,13,12,5,4,7,6,9,8,11,10,3,2,1]=>[1,2,3,10,11,8,9,6,7,4,5,12,13,14]
[14,13,12,5,4,7,6,11,10,9,8,3,2,1]=>[1,2,3,8,9,10,11,6,7,4,5,12,13,14]
[14,11,10,5,4,9,8,7,6,3,2,13,12,1]=>[1,12,13,2,3,6,7,8,9,4,5,10,11,14]
[14,13,10,5,4,9,8,7,6,3,12,11,2,1]=>[1,2,11,12,3,6,7,8,9,4,5,10,13,14]
[14,13,12,5,4,9,8,7,6,11,10,3,2,1]=>[1,2,3,10,11,6,7,8,9,4,5,12,13,14]
[14,13,12,5,4,11,8,7,10,9,6,3,2,1]=>[1,2,3,6,9,10,7,8,11,4,5,12,13,14]
[14,13,12,5,4,11,10,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,10,11,4,5,12,13,14]
[14,9,8,7,6,5,4,3,2,11,10,13,12,1]=>[1,12,13,10,11,2,3,4,5,6,7,8,9,14]
[14,9,8,7,6,5,4,3,2,13,12,11,10,1]=>[1,10,11,12,13,2,3,4,5,6,7,8,9,14]
[14,11,8,7,6,5,4,3,10,9,2,13,12,1]=>[1,12,13,2,9,10,3,4,5,6,7,8,11,14]
[14,13,8,7,6,5,4,3,10,9,12,11,2,1]=>[1,2,11,12,9,10,3,4,5,6,7,8,13,14]
[14,13,8,7,6,5,4,3,12,11,10,9,2,1]=>[1,2,9,10,11,12,3,4,5,6,7,8,13,14]
[14,11,10,7,6,5,4,9,8,3,2,13,12,1]=>[1,12,13,2,3,8,9,4,5,6,7,10,11,14]
[14,13,10,7,6,5,4,9,8,3,12,11,2,1]=>[1,2,11,12,3,8,9,4,5,6,7,10,13,14]
[14,13,12,7,6,5,4,9,8,11,10,3,2,1]=>[1,2,3,10,11,8,9,4,5,6,7,12,13,14]
[14,13,12,7,6,5,4,11,10,9,8,3,2,1]=>[1,2,3,8,9,10,11,4,5,6,7,12,13,14]
[14,11,10,9,6,5,8,7,4,3,2,13,12,1]=>[1,12,13,2,3,4,7,8,5,6,9,10,11,14]
[14,13,10,9,6,5,8,7,4,3,12,11,2,1]=>[1,2,11,12,3,4,7,8,5,6,9,10,13,14]
[14,13,12,9,6,5,8,7,4,11,10,3,2,1]=>[1,2,3,10,11,4,7,8,5,6,9,12,13,14]
[14,13,12,11,6,5,8,7,10,9,4,3,2,1]=>[1,2,3,4,9,10,7,8,5,6,11,12,13,14]
[14,13,12,11,6,5,10,9,8,7,4,3,2,1]=>[1,2,3,4,7,8,9,10,5,6,11,12,13,14]
[14,11,10,9,8,7,6,5,4,3,2,13,12,1]=>[1,12,13,2,3,4,5,6,7,8,9,10,11,14]
[14,13,10,9,8,7,6,5,4,3,12,11,2,1]=>[1,2,11,12,3,4,5,6,7,8,9,10,13,14]
[14,13,12,9,8,7,6,5,4,11,10,3,2,1]=>[1,2,3,10,11,4,5,6,7,8,9,12,13,14]
[14,13,12,11,8,7,6,5,10,9,4,3,2,1]=>[1,2,3,4,9,10,5,6,7,8,11,12,13,14]
[14,13,12,11,10,7,6,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,6,7,10,11,12,13,14]
[14,13,12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12,13,14]
[11,7,12,4,8,13,2,5,9,14,1,3,6,10]=>[10,6,3,1,14,9,5,2,13,8,4,12,7,11]
[10,7,11,4,8,12,2,5,9,1,3,6,13,14]=>[14,13,6,3,1,9,5,2,12,8,4,11,7,10]
[10,6,11,4,7,2,5,12,13,1,3,8,9,14]=>[14,9,8,3,1,13,12,5,2,7,4,11,6,10]
[10,6,3,11,12,2,7,8,13,1,4,5,9,14]=>[14,9,5,4,1,13,8,7,2,12,11,3,6,10]
[10,11,6,7,12,3,4,8,13,1,2,5,9,14]=>[14,9,5,2,1,13,8,4,3,12,7,6,11,10]
[12,11,10,9,8,7,6,5,4,3,2,1,14,13]=>[13,14,1,2,3,4,5,6,7,8,9,10,11,12]
[2,1,14,13,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,13,14,1,2]
[12,11,10,9,6,5,8,7,4,3,2,1,14,13]=>[13,14,1,2,3,4,7,8,5,6,9,10,11,12]
[2,1,14,13,12,11,8,7,10,9,6,5,4,3]=>[3,4,5,6,9,10,7,8,11,12,13,14,1,2]
[12,11,10,7,6,5,4,9,8,3,2,1,14,13]=>[13,14,1,2,3,8,9,4,5,6,7,10,11,12]
[12,11,10,5,4,9,8,7,6,3,2,1,14,13]=>[13,14,1,2,3,6,7,8,9,4,5,10,11,12]
[2,1,14,13,12,9,8,7,6,11,10,5,4,3]=>[3,4,5,10,11,6,7,8,9,12,13,14,1,2]
[2,1,14,13,12,7,6,11,10,9,8,5,4,3]=>[3,4,5,8,9,10,11,6,7,12,13,14,1,2]
[12,11,8,7,6,5,4,3,10,9,2,1,14,13]=>[13,14,1,2,9,10,3,4,5,6,7,8,11,12]
[12,11,10,5,4,7,6,9,8,3,2,1,14,13]=>[13,14,1,2,3,8,9,6,7,4,5,10,11,12]
[12,11,4,3,10,9,8,7,6,5,2,1,14,13]=>[13,14,1,2,5,6,7,8,9,10,3,4,11,12]
[2,1,14,13,10,9,8,7,6,5,12,11,4,3]=>[3,4,11,12,5,6,7,8,9,10,13,14,1,2]
[2,1,14,13,12,7,6,9,8,11,10,5,4,3]=>[3,4,5,10,11,8,9,6,7,12,13,14,1,2]
[2,1,14,13,6,5,12,11,10,9,8,7,4,3]=>[3,4,7,8,9,10,11,12,5,6,13,14,1,2]
[12,9,8,7,6,5,4,3,2,11,10,1,14,13]=>[13,14,1,10,11,2,3,4,5,6,7,8,9,12]
[12,11,8,5,4,7,6,3,10,9,2,1,14,13]=>[13,14,1,2,9,10,3,6,7,4,5,8,11,12]
[12,11,6,5,4,3,10,9,8,7,2,1,14,13]=>[13,14,1,2,7,8,9,10,3,4,5,6,11,12]
[12,11,4,3,10,7,6,9,8,5,2,1,14,13]=>[13,14,1,2,5,8,9,6,7,10,3,4,11,12]
[12,3,2,11,10,9,8,7,6,5,4,1,14,13]=>[13,14,1,4,5,6,7,8,9,10,11,2,3,12]
[10,9,8,7,6,5,4,3,2,1,14,13,12,11]=>[11,12,13,14,1,2,3,4,5,6,7,8,9,10]
[2,1,14,11,10,9,8,7,6,5,4,13,12,3]=>[3,12,13,4,5,6,7,8,9,10,11,14,1,2]
[2,1,14,13,10,7,6,9,8,5,12,11,4,3]=>[3,4,11,12,5,8,9,6,7,10,13,14,1,2]
[2,1,14,13,8,7,6,5,12,11,10,9,4,3]=>[3,4,9,10,11,12,5,6,7,8,13,14,1,2]
[2,1,14,13,6,5,12,9,8,11,10,7,4,3]=>[3,4,7,10,11,8,9,12,5,6,13,14,1,2]
[4,3,2,1,14,13,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,13,14,1,2,3,4]
[2,1,14,5,4,13,12,11,10,9,8,7,6,3]=>[3,6,7,8,9,10,11,12,13,4,5,14,1,2]
[13,14,10,11,12,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,12,11,10,14,13]
[14,12,13,9,10,11,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,11,10,9,13,12,14]
[3,5,2,7,4,9,6,11,8,13,10,14,12,1]=>[1,12,14,10,13,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,12,8,13,14,11,10,1]=>[1,10,11,14,13,8,12,6,9,4,7,2,5,3]
[3,5,2,7,4,10,6,11,13,9,8,14,12,1]=>[1,12,14,8,9,13,11,6,10,4,7,2,5,3]
[3,5,2,7,4,10,6,12,13,9,14,11,8,1]=>[1,8,11,14,9,13,12,6,10,4,7,2,5,3]
[3,5,2,7,4,11,6,12,13,14,10,9,8,1]=>[1,8,9,10,14,13,12,6,11,4,7,2,5,3]
[3,5,2,8,4,9,11,7,6,13,10,14,12,1]=>[1,12,14,10,13,6,7,11,9,4,8,2,5,3]
[3,5,2,8,4,9,12,7,6,13,14,11,10,1]=>[1,10,11,14,13,6,7,12,9,4,8,2,5,3]
[3,5,2,8,4,10,11,7,13,9,6,14,12,1]=>[1,12,14,6,9,13,7,11,10,4,8,2,5,3]
[3,5,2,8,4,10,12,7,13,9,14,11,6,1]=>[1,6,11,14,9,13,7,12,10,4,8,2,5,3]
[3,5,2,8,4,11,12,7,13,14,10,9,6,1]=>[1,6,9,10,14,13,7,12,11,4,8,2,5,3]
[3,5,2,9,4,10,11,13,8,7,6,14,12,1]=>[1,12,14,6,7,8,13,11,10,4,9,2,5,3]
[3,5,2,9,4,10,12,13,8,7,14,11,6,1]=>[1,6,11,14,7,8,13,12,10,4,9,2,5,3]
[3,5,2,9,4,11,12,13,8,14,10,7,6,1]=>[1,6,7,10,14,8,13,12,11,4,9,2,5,3]
[3,5,2,10,4,11,12,13,14,9,8,7,6,1]=>[1,6,7,8,9,14,13,12,11,4,10,2,5,3]
[3,6,2,7,9,5,4,11,8,13,10,14,12,1]=>[1,12,14,10,13,8,11,4,5,9,7,2,6,3]
[3,6,2,7,9,5,4,12,8,13,14,11,10,1]=>[1,10,11,14,13,8,12,4,5,9,7,2,6,3]
[3,6,2,7,10,5,4,11,13,9,8,14,12,1]=>[1,12,14,8,9,13,11,4,5,10,7,2,6,3]
[3,6,2,7,10,5,4,12,13,9,14,11,8,1]=>[1,8,11,14,9,13,12,4,5,10,7,2,6,3]
[3,6,2,7,11,5,4,12,13,14,10,9,8,1]=>[1,8,9,10,14,13,12,4,5,11,7,2,6,3]
[3,6,2,8,9,5,11,7,4,13,10,14,12,1]=>[1,12,14,10,13,4,7,11,5,9,8,2,6,3]
[3,6,2,8,9,5,12,7,4,13,14,11,10,1]=>[1,10,11,14,13,4,7,12,5,9,8,2,6,3]
[3,6,2,8,10,5,11,7,13,9,4,14,12,1]=>[1,12,14,4,9,13,7,11,5,10,8,2,6,3]
[3,6,2,8,10,5,12,7,13,9,14,11,4,1]=>[1,4,11,14,9,13,7,12,5,10,8,2,6,3]
[3,6,2,8,11,5,12,7,13,14,10,9,4,1]=>[1,4,9,10,14,13,7,12,5,11,8,2,6,3]
[3,6,2,9,10,5,11,13,8,7,4,14,12,1]=>[1,12,14,4,7,8,13,11,5,10,9,2,6,3]
[3,6,2,9,10,5,12,13,8,7,14,11,4,1]=>[1,4,11,14,7,8,13,12,5,10,9,2,6,3]
[3,6,2,9,11,5,12,13,8,14,10,7,4,1]=>[1,4,7,10,14,8,13,12,5,11,9,2,6,3]
[3,6,2,10,11,5,12,13,14,9,8,7,4,1]=>[1,4,7,8,9,14,13,12,5,11,10,2,6,3]
[3,7,2,8,9,11,6,5,4,13,10,14,12,1]=>[1,12,14,10,13,4,5,6,11,9,8,2,7,3]
[3,7,2,8,9,12,6,5,4,13,14,11,10,1]=>[1,10,11,14,13,4,5,6,12,9,8,2,7,3]
[3,7,2,8,10,11,6,5,13,9,4,14,12,1]=>[1,12,14,4,9,13,5,6,11,10,8,2,7,3]
[3,7,2,8,10,12,6,5,13,9,14,11,4,1]=>[1,4,11,14,9,13,5,6,12,10,8,2,7,3]
[3,7,2,8,11,12,6,5,13,14,10,9,4,1]=>[1,4,9,10,14,13,5,6,12,11,8,2,7,3]
[3,7,2,9,10,11,6,13,8,5,4,14,12,1]=>[1,12,14,4,5,8,13,6,11,10,9,2,7,3]
[3,7,2,9,10,12,6,13,8,5,14,11,4,1]=>[1,4,11,14,5,8,13,6,12,10,9,2,7,3]
[3,7,2,9,11,12,6,13,8,14,10,5,4,1]=>[1,4,5,10,14,8,13,6,12,11,9,2,7,3]
[3,7,2,10,11,12,6,13,14,9,8,5,4,1]=>[1,4,5,8,9,14,13,6,12,11,10,2,7,3]
[3,8,2,9,10,11,13,7,6,5,4,14,12,1]=>[1,12,14,4,5,6,7,13,11,10,9,2,8,3]
[3,8,2,9,10,12,13,7,6,5,14,11,4,1]=>[1,4,11,14,5,6,7,13,12,10,9,2,8,3]
[3,8,2,9,11,12,13,7,6,14,10,5,4,1]=>[1,4,5,10,14,6,7,13,12,11,9,2,8,3]
[3,8,2,10,11,12,13,7,14,9,6,5,4,1]=>[1,4,5,6,9,14,7,13,12,11,10,2,8,3]
[3,9,2,10,11,12,13,14,8,7,6,5,4,1]=>[1,4,5,6,7,8,14,13,12,11,10,2,9,3]
[4,5,7,3,2,9,6,11,8,13,10,14,12,1]=>[1,12,14,10,13,8,11,6,9,2,3,7,5,4]
[4,5,7,3,2,9,6,12,8,13,14,11,10,1]=>[1,10,11,14,13,8,12,6,9,2,3,7,5,4]
[4,5,7,3,2,10,6,11,13,9,8,14,12,1]=>[1,12,14,8,9,13,11,6,10,2,3,7,5,4]
[4,5,7,3,2,10,6,12,13,9,14,11,8,1]=>[1,8,11,14,9,13,12,6,10,2,3,7,5,4]
[4,5,7,3,2,11,6,12,13,14,10,9,8,1]=>[1,8,9,10,14,13,12,6,11,2,3,7,5,4]
[4,5,8,3,2,9,11,7,6,13,10,14,12,1]=>[1,12,14,10,13,6,7,11,9,2,3,8,5,4]
[4,5,8,3,2,9,12,7,6,13,14,11,10,1]=>[1,10,11,14,13,6,7,12,9,2,3,8,5,4]
[4,5,8,3,2,10,11,7,13,9,6,14,12,1]=>[1,12,14,6,9,13,7,11,10,2,3,8,5,4]
[4,5,8,3,2,10,12,7,13,9,14,11,6,1]=>[1,6,11,14,9,13,7,12,10,2,3,8,5,4]
[4,5,8,3,2,11,12,7,13,14,10,9,6,1]=>[1,6,9,10,14,13,7,12,11,2,3,8,5,4]
[4,5,9,3,2,10,11,13,8,7,6,14,12,1]=>[1,12,14,6,7,8,13,11,10,2,3,9,5,4]
[4,5,9,3,2,10,12,13,8,7,14,11,6,1]=>[1,6,11,14,7,8,13,12,10,2,3,9,5,4]
[4,5,9,3,2,11,12,13,8,14,10,7,6,1]=>[1,6,7,10,14,8,13,12,11,2,3,9,5,4]
[4,5,10,3,2,11,12,13,14,9,8,7,6,1]=>[1,6,7,8,9,14,13,12,11,2,3,10,5,4]
[4,6,7,3,9,5,2,11,8,13,10,14,12,1]=>[1,12,14,10,13,8,11,2,5,9,3,7,6,4]
[4,6,7,3,9,5,2,12,8,13,14,11,10,1]=>[1,10,11,14,13,8,12,2,5,9,3,7,6,4]
[4,6,7,3,10,5,2,11,13,9,8,14,12,1]=>[1,12,14,8,9,13,11,2,5,10,3,7,6,4]
[4,6,7,3,10,5,2,12,13,9,14,11,8,1]=>[1,8,11,14,9,13,12,2,5,10,3,7,6,4]
[4,6,7,3,11,5,2,12,13,14,10,9,8,1]=>[1,8,9,10,14,13,12,2,5,11,3,7,6,4]
[4,6,8,3,9,5,11,7,2,13,10,14,12,1]=>[1,12,14,10,13,2,7,11,5,9,3,8,6,4]
[4,6,8,3,9,5,12,7,2,13,14,11,10,1]=>[1,10,11,14,13,2,7,12,5,9,3,8,6,4]
[4,6,8,3,10,5,11,7,13,9,2,14,12,1]=>[1,12,14,2,9,13,7,11,5,10,3,8,6,4]
[4,6,8,3,10,5,12,7,13,9,14,11,2,1]=>[1,2,11,14,9,13,7,12,5,10,3,8,6,4]
[4,6,8,3,11,5,12,7,13,14,10,9,2,1]=>[1,2,9,10,14,13,7,12,5,11,3,8,6,4]
[4,6,9,3,10,5,11,13,8,7,2,14,12,1]=>[1,12,14,2,7,8,13,11,5,10,3,9,6,4]
[4,6,9,3,10,5,12,13,8,7,14,11,2,1]=>[1,2,11,14,7,8,13,12,5,10,3,9,6,4]
[4,6,9,3,11,5,12,13,8,14,10,7,2,1]=>[1,2,7,10,14,8,13,12,5,11,3,9,6,4]
[4,6,10,3,11,5,12,13,14,9,8,7,2,1]=>[1,2,7,8,9,14,13,12,5,11,3,10,6,4]
[4,7,8,3,9,11,6,5,2,13,10,14,12,1]=>[1,12,14,10,13,2,5,6,11,9,3,8,7,4]
[4,7,8,3,9,12,6,5,2,13,14,11,10,1]=>[1,10,11,14,13,2,5,6,12,9,3,8,7,4]
[4,7,8,3,10,11,6,5,13,9,2,14,12,1]=>[1,12,14,2,9,13,5,6,11,10,3,8,7,4]
[4,7,8,3,10,12,6,5,13,9,14,11,2,1]=>[1,2,11,14,9,13,5,6,12,10,3,8,7,4]
[4,7,8,3,11,12,6,5,13,14,10,9,2,1]=>[1,2,9,10,14,13,5,6,12,11,3,8,7,4]
[4,7,9,3,10,11,6,13,8,5,2,14,12,1]=>[1,12,14,2,5,8,13,6,11,10,3,9,7,4]
[4,7,9,3,10,12,6,13,8,5,14,11,2,1]=>[1,2,11,14,5,8,13,6,12,10,3,9,7,4]
[4,7,9,3,11,12,6,13,8,14,10,5,2,1]=>[1,2,5,10,14,8,13,6,12,11,3,9,7,4]
[4,7,10,3,11,12,6,13,14,9,8,5,2,1]=>[1,2,5,8,9,14,13,6,12,11,3,10,7,4]
[4,8,9,3,10,11,13,7,6,5,2,14,12,1]=>[1,12,14,2,5,6,7,13,11,10,3,9,8,4]
[4,8,9,3,10,12,13,7,6,5,14,11,2,1]=>[1,2,11,14,5,6,7,13,12,10,3,9,8,4]
[4,8,9,3,11,12,13,7,6,14,10,5,2,1]=>[1,2,5,10,14,6,7,13,12,11,3,9,8,4]
[4,8,10,3,11,12,13,7,14,9,6,5,2,1]=>[1,2,5,6,9,14,7,13,12,11,3,10,8,4]
[4,9,10,3,11,12,13,14,8,7,6,5,2,1]=>[1,2,5,6,7,8,14,13,12,11,3,10,9,4]
[5,6,7,9,4,3,2,11,8,13,10,14,12,1]=>[1,12,14,10,13,8,11,2,3,4,9,7,6,5]
[5,6,7,9,4,3,2,12,8,13,14,11,10,1]=>[1,10,11,14,13,8,12,2,3,4,9,7,6,5]
[5,6,7,10,4,3,2,11,13,9,8,14,12,1]=>[1,12,14,8,9,13,11,2,3,4,10,7,6,5]
[5,6,7,10,4,3,2,12,13,9,14,11,8,1]=>[1,8,11,14,9,13,12,2,3,4,10,7,6,5]
[5,6,7,11,4,3,2,12,13,14,10,9,8,1]=>[1,8,9,10,14,13,12,2,3,4,11,7,6,5]
[5,6,8,9,4,3,11,7,2,13,10,14,12,1]=>[1,12,14,10,13,2,7,11,3,4,9,8,6,5]
[5,6,8,9,4,3,12,7,2,13,14,11,10,1]=>[1,10,11,14,13,2,7,12,3,4,9,8,6,5]
[5,6,8,10,4,3,11,7,13,9,2,14,12,1]=>[1,12,14,2,9,13,7,11,3,4,10,8,6,5]
[5,6,8,10,4,3,12,7,13,9,14,11,2,1]=>[1,2,11,14,9,13,7,12,3,4,10,8,6,5]
[5,6,8,11,4,3,12,7,13,14,10,9,2,1]=>[1,2,9,10,14,13,7,12,3,4,11,8,6,5]
[5,6,9,10,4,3,11,13,8,7,2,14,12,1]=>[1,12,14,2,7,8,13,11,3,4,10,9,6,5]
[5,6,9,10,4,3,12,13,8,7,14,11,2,1]=>[1,2,11,14,7,8,13,12,3,4,10,9,6,5]
[5,6,9,11,4,3,12,13,8,14,10,7,2,1]=>[1,2,7,10,14,8,13,12,3,4,11,9,6,5]
[5,6,10,11,4,3,12,13,14,9,8,7,2,1]=>[1,2,7,8,9,14,13,12,3,4,11,10,6,5]
[5,7,8,9,4,11,6,3,2,13,10,14,12,1]=>[1,12,14,10,13,2,3,6,11,4,9,8,7,5]
[5,7,8,9,4,12,6,3,2,13,14,11,10,1]=>[1,10,11,14,13,2,3,6,12,4,9,8,7,5]
[5,7,8,10,4,11,6,3,13,9,2,14,12,1]=>[1,12,14,2,9,13,3,6,11,4,10,8,7,5]
[5,7,8,10,4,12,6,3,13,9,14,11,2,1]=>[1,2,11,14,9,13,3,6,12,4,10,8,7,5]
[5,7,8,11,4,12,6,3,13,14,10,9,2,1]=>[1,2,9,10,14,13,3,6,12,4,11,8,7,5]
[5,7,9,10,4,11,6,13,8,3,2,14,12,1]=>[1,12,14,2,3,8,13,6,11,4,10,9,7,5]
[5,7,9,10,4,12,6,13,8,3,14,11,2,1]=>[1,2,11,14,3,8,13,6,12,4,10,9,7,5]
[5,7,9,11,4,12,6,13,8,14,10,3,2,1]=>[1,2,3,10,14,8,13,6,12,4,11,9,7,5]
[5,7,10,11,4,12,6,13,14,9,8,3,2,1]=>[1,2,3,8,9,14,13,6,12,4,11,10,7,5]
[5,8,9,10,4,11,13,7,6,3,2,14,12,1]=>[1,12,14,2,3,6,7,13,11,4,10,9,8,5]
[5,8,9,10,4,12,13,7,6,3,14,11,2,1]=>[1,2,11,14,3,6,7,13,12,4,10,9,8,5]
[5,8,9,11,4,12,13,7,6,14,10,3,2,1]=>[1,2,3,10,14,6,7,13,12,4,11,9,8,5]
[5,8,10,11,4,12,13,7,14,9,6,3,2,1]=>[1,2,3,6,9,14,7,13,12,4,11,10,8,5]
[5,9,10,11,4,12,13,14,8,7,6,3,2,1]=>[1,2,3,6,7,8,14,13,12,4,11,10,9,5]
[6,7,8,9,11,5,4,3,2,13,10,14,12,1]=>[1,12,14,10,13,2,3,4,5,11,9,8,7,6]
[6,7,8,9,12,5,4,3,2,13,14,11,10,1]=>[1,10,11,14,13,2,3,4,5,12,9,8,7,6]
[6,7,8,10,11,5,4,3,13,9,2,14,12,1]=>[1,12,14,2,9,13,3,4,5,11,10,8,7,6]
[6,7,8,10,12,5,4,3,13,9,14,11,2,1]=>[1,2,11,14,9,13,3,4,5,12,10,8,7,6]
[6,7,8,11,12,5,4,3,13,14,10,9,2,1]=>[1,2,9,10,14,13,3,4,5,12,11,8,7,6]
[6,7,9,10,11,5,4,13,8,3,2,14,12,1]=>[1,12,14,2,3,8,13,4,5,11,10,9,7,6]
[6,7,9,10,12,5,4,13,8,3,14,11,2,1]=>[1,2,11,14,3,8,13,4,5,12,10,9,7,6]
[6,7,9,11,12,5,4,13,8,14,10,3,2,1]=>[1,2,3,10,14,8,13,4,5,12,11,9,7,6]
[6,7,10,11,12,5,4,13,14,9,8,3,2,1]=>[1,2,3,8,9,14,13,4,5,12,11,10,7,6]
[6,8,9,10,11,5,13,7,4,3,2,14,12,1]=>[1,12,14,2,3,4,7,13,5,11,10,9,8,6]
[6,8,9,10,12,5,13,7,4,3,14,11,2,1]=>[1,2,11,14,3,4,7,13,5,12,10,9,8,6]
[6,8,9,11,12,5,13,7,4,14,10,3,2,1]=>[1,2,3,10,14,4,7,13,5,12,11,9,8,6]
[6,8,10,11,12,5,13,7,14,9,4,3,2,1]=>[1,2,3,4,9,14,7,13,5,12,11,10,8,6]
[6,9,10,11,12,5,13,14,8,7,4,3,2,1]=>[1,2,3,4,7,8,14,13,5,12,11,10,9,6]
[7,8,9,10,11,13,6,5,4,3,2,14,12,1]=>[1,12,14,2,3,4,5,6,13,11,10,9,8,7]
[7,8,9,10,12,13,6,5,4,3,14,11,2,1]=>[1,2,11,14,3,4,5,6,13,12,10,9,8,7]
[7,8,9,11,12,13,6,5,4,14,10,3,2,1]=>[1,2,3,10,14,4,5,6,13,12,11,9,8,7]
[7,8,10,11,12,13,6,5,14,9,4,3,2,1]=>[1,2,3,4,9,14,5,6,13,12,11,10,8,7]
[7,9,10,11,12,13,6,14,8,5,4,3,2,1]=>[1,2,3,4,5,8,14,6,13,12,11,10,9,7]
[8,9,10,11,12,13,14,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,14,13,12,11,10,9,8]
[7,8,9,10,11,12,6,5,4,3,2,1,14,13]=>[13,14,1,2,3,4,5,6,12,11,10,9,8,7]
[2,1,9,10,11,12,13,14,8,7,6,5,4,3]=>[3,4,5,6,7,8,14,13,12,11,10,9,1,2]
[6,8,9,10,11,5,12,7,4,3,2,1,14,13]=>[13,14,1,2,3,4,7,12,5,11,10,9,8,6]
[2,1,8,10,11,12,13,7,14,9,6,5,4,3]=>[3,4,5,6,9,14,7,13,12,11,10,8,1,2]
[6,7,9,10,11,5,4,12,8,3,2,1,14,13]=>[13,14,1,2,3,8,12,4,5,11,10,9,7,6]
[5,8,9,10,4,11,12,7,6,3,2,1,14,13]=>[13,14,1,2,3,6,7,12,11,4,10,9,8,5]
[2,1,8,9,11,12,13,7,6,14,10,5,4,3]=>[3,4,5,10,14,6,7,13,12,11,9,8,1,2]
[2,1,7,10,11,12,6,13,14,9,8,5,4,3]=>[3,4,5,8,9,14,13,6,12,11,10,7,1,2]
[6,7,8,10,11,5,4,3,12,9,2,1,14,13]=>[13,14,1,2,9,12,3,4,5,11,10,8,7,6]
[5,7,9,10,4,11,6,12,8,3,2,1,14,13]=>[13,14,1,2,3,8,12,6,11,4,10,9,7,5]
[4,8,9,3,10,11,12,7,6,5,2,1,14,13]=>[13,14,1,2,5,6,7,12,11,10,3,9,8,4]
[2,1,8,9,10,12,13,7,6,5,14,11,4,3]=>[3,4,11,14,5,6,7,13,12,10,9,8,1,2]
[2,1,7,9,11,12,6,13,8,14,10,5,4,3]=>[3,4,5,10,14,8,13,6,12,11,9,7,1,2]
[2,1,6,10,11,5,12,13,14,9,8,7,4,3]=>[3,4,7,8,9,14,13,12,5,11,10,6,1,2]
[6,7,8,9,11,5,4,3,2,12,10,1,14,13]=>[13,14,1,10,12,2,3,4,5,11,9,8,7,6]
[5,7,8,10,4,11,6,3,12,9,2,1,14,13]=>[13,14,1,2,9,12,3,6,11,4,10,8,7,5]
[5,6,9,10,4,3,11,12,8,7,2,1,14,13]=>[13,14,1,2,7,8,12,11,3,4,10,9,6,5]
[4,7,9,3,10,11,6,12,8,5,2,1,14,13]=>[13,14,1,2,5,8,12,6,11,10,3,9,7,4]
[3,8,2,9,10,11,12,7,6,5,4,1,14,13]=>[13,14,1,4,5,6,7,12,11,10,9,2,8,3]
[6,7,8,9,10,5,4,3,2,1,13,14,12,11]=>[11,12,14,13,1,2,3,4,5,10,9,8,7,6]
[2,1,8,9,10,11,13,7,6,5,4,14,12,3]=>[3,12,14,4,5,6,7,13,11,10,9,8,1,2]
[2,1,7,9,10,12,6,13,8,5,14,11,4,3]=>[3,4,11,14,5,8,13,6,12,10,9,7,1,2]
[2,1,7,8,11,12,6,5,13,14,10,9,4,3]=>[3,4,9,10,14,13,5,6,12,11,8,7,1,2]
[2,1,6,9,11,5,12,13,8,14,10,7,4,3]=>[3,4,7,10,14,8,13,12,5,11,9,6,1,2]
[3,4,2,1,10,11,12,13,14,9,8,7,6,5]=>[5,6,7,8,9,14,13,12,11,10,1,2,4,3]
[2,1,5,10,4,11,12,13,14,9,8,7,6,3]=>[3,6,7,8,9,14,13,12,11,4,10,5,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13]=>[13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,14,13,12,11]=>[11,12,13,14,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,14,11,10,13,12,9]=>[9,12,13,10,11,14,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,14,9,8,11,10,13,12,7]=>[7,12,13,10,11,8,9,14,5,6,3,4,1,2]
[2,1,4,3,14,7,6,9,8,11,10,13,12,5]=>[5,12,13,10,11,8,9,6,7,14,3,4,1,2]
[2,1,14,5,4,7,6,9,8,11,10,13,12,3]=>[3,12,13,10,11,8,9,6,7,4,5,14,1,2]
[2,1,4,3,6,5,8,7,14,13,12,11,10,9]=>[9,10,11,12,13,14,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,14,11,10,9,8,13,12,7]=>[7,12,13,8,9,10,11,14,5,6,3,4,1,2]
[2,1,4,3,14,9,8,7,6,11,10,13,12,5]=>[5,12,13,10,11,6,7,8,9,14,3,4,1,2]
[2,1,14,7,6,5,4,9,8,11,10,13,12,3]=>[3,12,13,10,11,8,9,4,5,6,7,14,1,2]
[2,1,4,3,6,5,14,13,10,9,12,11,8,7]=>[7,8,11,12,9,10,13,14,5,6,3,4,1,2]
[2,1,4,3,14,11,8,7,10,9,6,13,12,5]=>[5,12,13,6,9,10,7,8,11,14,3,4,1,2]
[2,1,4,3,6,5,14,13,12,11,10,9,8,7]=>[7,8,9,10,11,12,13,14,5,6,3,4,1,2]
[2,1,14,9,6,5,8,7,4,11,10,13,12,3]=>[3,12,13,10,11,4,7,8,5,6,9,14,1,2]
[2,1,4,3,14,11,10,9,8,7,6,13,12,5]=>[5,12,13,6,7,8,9,10,11,14,3,4,1,2]
[2,1,14,9,8,7,6,5,4,11,10,13,12,3]=>[3,12,13,10,11,4,5,6,7,8,9,14,1,2]
[2,1,4,3,14,13,8,7,10,9,12,11,6,5]=>[5,6,11,12,9,10,7,8,13,14,3,4,1,2]
[2,1,14,11,6,5,8,7,10,9,4,13,12,3]=>[3,12,13,4,9,10,7,8,5,6,11,14,1,2]
[2,1,4,3,14,13,8,7,12,11,10,9,6,5]=>[5,6,9,10,11,12,7,8,13,14,3,4,1,2]
[2,1,14,11,6,5,10,9,8,7,4,13,12,3]=>[3,12,13,4,7,8,9,10,5,6,11,14,1,2]
[2,1,4,3,14,13,12,9,8,11,10,7,6,5]=>[5,6,7,10,11,8,9,12,13,14,3,4,1,2]
[2,1,14,11,10,7,6,9,8,5,4,13,12,3]=>[3,12,13,4,5,8,9,6,7,10,11,14,1,2]
[2,4,6,8,10,12,14,1,3,5,7,9,11,13]=>[13,11,9,7,5,3,1,14,12,10,8,6,4,2]
[2,4,6,8,10,13,14,1,3,5,7,9,11,12]=>[12,11,9,7,5,3,1,14,13,10,8,6,4,2]
[2,4,6,8,11,13,14,1,3,5,7,9,10,12]=>[12,10,9,7,5,3,1,14,13,11,8,6,4,2]
[2,4,6,9,11,13,14,1,3,5,7,8,10,12]=>[12,10,8,7,5,3,1,14,13,11,9,6,4,2]
[2,4,7,9,11,13,14,1,3,5,6,8,10,12]=>[12,10,8,6,5,3,1,14,13,11,9,7,4,2]
[2,5,7,9,11,13,14,1,3,4,6,8,10,12]=>[12,10,8,6,4,3,1,14,13,11,9,7,5,2]
[3,5,7,9,11,13,14,1,2,4,6,8,10,12]=>[12,10,8,6,4,2,1,14,13,11,9,7,5,3]
[2,4,6,8,12,13,14,1,3,5,7,9,10,11]=>[11,10,9,7,5,3,1,14,13,12,8,6,4,2]
[2,4,6,10,11,13,14,1,3,5,7,8,9,12]=>[12,9,8,7,5,3,1,14,13,11,10,6,4,2]
[2,4,8,9,11,13,14,1,3,5,6,7,10,12]=>[12,10,7,6,5,3,1,14,13,11,9,8,4,2]
[2,6,7,9,11,13,14,1,3,4,5,8,10,12]=>[12,10,8,5,4,3,1,14,13,11,9,7,6,2]
[4,5,7,9,11,13,14,1,2,3,6,8,10,12]=>[12,10,8,6,3,2,1,14,13,11,9,7,5,4]
[2,4,6,10,12,13,14,1,3,5,7,8,9,11]=>[11,9,8,7,5,3,1,14,13,12,10,6,4,2]
[2,4,8,10,11,13,14,1,3,5,6,7,9,12]=>[12,9,7,6,5,3,1,14,13,11,10,8,4,2]
[2,4,6,11,12,13,14,1,3,5,7,8,9,10]=>[10,9,8,7,5,3,1,14,13,12,11,6,4,2]
[2,6,8,9,11,13,14,1,3,4,5,7,10,12]=>[12,10,7,5,4,3,1,14,13,11,9,8,6,2]
[2,4,9,10,11,13,14,1,3,5,6,7,8,12]=>[12,8,7,6,5,3,1,14,13,11,10,9,4,2]
[4,6,7,9,11,13,14,1,2,3,5,8,10,12]=>[12,10,8,5,3,2,1,14,13,11,9,7,6,4]
[2,7,8,9,11,13,14,1,3,4,5,6,10,12]=>[12,10,6,5,4,3,1,14,13,11,9,8,7,2]
[5,6,7,9,11,13,14,1,2,3,4,8,10,12]=>[12,10,8,4,3,2,1,14,13,11,9,7,6,5]
[2,4,8,10,12,13,14,1,3,5,6,7,9,11]=>[11,9,7,6,5,3,1,14,13,12,10,8,4,2]
[2,6,8,10,11,13,14,1,3,4,5,7,9,12]=>[12,9,7,5,4,3,1,14,13,11,10,8,6,2]
[2,4,8,11,12,13,14,1,3,5,6,7,9,10]=>[10,9,7,6,5,3,1,14,13,12,11,8,4,2]
[4,6,8,9,11,13,14,1,2,3,5,7,10,12]=>[12,10,7,5,3,2,1,14,13,11,9,8,6,4]
[2,6,9,10,11,13,14,1,3,4,5,7,8,12]=>[12,8,7,5,4,3,1,14,13,11,10,9,6,2]
[2,4,9,11,12,13,14,1,3,5,6,7,8,10]=>[10,8,7,6,5,3,1,14,13,12,11,9,4,2]
[4,7,8,9,11,13,14,1,2,3,5,6,10,12]=>[12,10,6,5,3,2,1,14,13,11,9,8,7,4]
[2,7,9,10,11,13,14,1,3,4,5,6,8,12]=>[12,8,6,5,4,3,1,14,13,11,10,9,7,2]
[5,7,8,9,11,13,14,1,2,3,4,6,10,12]=>[12,10,6,4,3,2,1,14,13,11,9,8,7,5]
[3,5,7,9,12,13,14,1,2,4,6,8,10,11]=>[11,10,8,6,4,2,1,14,13,12,9,7,5,3]
[3,5,7,10,11,13,14,1,2,4,6,8,9,12]=>[12,9,8,6,4,2,1,14,13,11,10,7,5,3]
[3,5,7,10,12,13,14,1,2,4,6,8,9,11]=>[11,9,8,6,4,2,1,14,13,12,10,7,5,3]
[3,5,7,11,12,13,14,1,2,4,6,8,9,10]=>[10,9,8,6,4,2,1,14,13,12,11,7,5,3]
[3,5,8,9,11,13,14,1,2,4,6,7,10,12]=>[12,10,7,6,4,2,1,14,13,11,9,8,5,3]
[3,5,8,9,12,13,14,1,2,4,6,7,10,11]=>[11,10,7,6,4,2,1,14,13,12,9,8,5,3]
[3,5,8,10,11,13,14,1,2,4,6,7,9,12]=>[12,9,7,6,4,2,1,14,13,11,10,8,5,3]
[3,5,8,10,12,13,14,1,2,4,6,7,9,11]=>[11,9,7,6,4,2,1,14,13,12,10,8,5,3]
[3,5,8,11,12,13,14,1,2,4,6,7,9,10]=>[10,9,7,6,4,2,1,14,13,12,11,8,5,3]
[3,5,9,10,11,13,14,1,2,4,6,7,8,12]=>[12,8,7,6,4,2,1,14,13,11,10,9,5,3]
[3,5,9,10,12,13,14,1,2,4,6,7,8,11]=>[11,8,7,6,4,2,1,14,13,12,10,9,5,3]
[3,5,9,11,12,13,14,1,2,4,6,7,8,10]=>[10,8,7,6,4,2,1,14,13,12,11,9,5,3]
[3,5,10,11,12,13,14,1,2,4,6,7,8,9]=>[9,8,7,6,4,2,1,14,13,12,11,10,5,3]
[3,6,7,9,11,13,14,1,2,4,5,8,10,12]=>[12,10,8,5,4,2,1,14,13,11,9,7,6,3]
[3,6,7,9,12,13,14,1,2,4,5,8,10,11]=>[11,10,8,5,4,2,1,14,13,12,9,7,6,3]
[3,6,7,10,11,13,14,1,2,4,5,8,9,12]=>[12,9,8,5,4,2,1,14,13,11,10,7,6,3]
[3,6,7,10,12,13,14,1,2,4,5,8,9,11]=>[11,9,8,5,4,2,1,14,13,12,10,7,6,3]
[3,6,7,11,12,13,14,1,2,4,5,8,9,10]=>[10,9,8,5,4,2,1,14,13,12,11,7,6,3]
[3,6,8,9,11,13,14,1,2,4,5,7,10,12]=>[12,10,7,5,4,2,1,14,13,11,9,8,6,3]
[3,6,8,9,12,13,14,1,2,4,5,7,10,11]=>[11,10,7,5,4,2,1,14,13,12,9,8,6,3]
[3,6,8,10,11,13,14,1,2,4,5,7,9,12]=>[12,9,7,5,4,2,1,14,13,11,10,8,6,3]
[3,6,8,10,12,13,14,1,2,4,5,7,9,11]=>[11,9,7,5,4,2,1,14,13,12,10,8,6,3]
[3,6,8,11,12,13,14,1,2,4,5,7,9,10]=>[10,9,7,5,4,2,1,14,13,12,11,8,6,3]
[3,6,9,10,11,13,14,1,2,4,5,7,8,12]=>[12,8,7,5,4,2,1,14,13,11,10,9,6,3]
[3,6,9,10,12,13,14,1,2,4,5,7,8,11]=>[11,8,7,5,4,2,1,14,13,12,10,9,6,3]
[3,6,9,11,12,13,14,1,2,4,5,7,8,10]=>[10,8,7,5,4,2,1,14,13,12,11,9,6,3]
[3,6,10,11,12,13,14,1,2,4,5,7,8,9]=>[9,8,7,5,4,2,1,14,13,12,11,10,6,3]
[3,7,8,9,11,13,14,1,2,4,5,6,10,12]=>[12,10,6,5,4,2,1,14,13,11,9,8,7,3]
[3,7,8,9,12,13,14,1,2,4,5,6,10,11]=>[11,10,6,5,4,2,1,14,13,12,9,8,7,3]
[3,7,8,10,11,13,14,1,2,4,5,6,9,12]=>[12,9,6,5,4,2,1,14,13,11,10,8,7,3]
[3,7,8,10,12,13,14,1,2,4,5,6,9,11]=>[11,9,6,5,4,2,1,14,13,12,10,8,7,3]
[3,7,8,11,12,13,14,1,2,4,5,6,9,10]=>[10,9,6,5,4,2,1,14,13,12,11,8,7,3]
[3,7,9,10,11,13,14,1,2,4,5,6,8,12]=>[12,8,6,5,4,2,1,14,13,11,10,9,7,3]
[3,7,9,10,12,13,14,1,2,4,5,6,8,11]=>[11,8,6,5,4,2,1,14,13,12,10,9,7,3]
[3,7,9,11,12,13,14,1,2,4,5,6,8,10]=>[10,8,6,5,4,2,1,14,13,12,11,9,7,3]
[3,7,10,11,12,13,14,1,2,4,5,6,8,9]=>[9,8,6,5,4,2,1,14,13,12,11,10,7,3]
[3,8,9,10,11,13,14,1,2,4,5,6,7,12]=>[12,7,6,5,4,2,1,14,13,11,10,9,8,3]
[3,8,9,10,12,13,14,1,2,4,5,6,7,11]=>[11,7,6,5,4,2,1,14,13,12,10,9,8,3]
[3,8,9,11,12,13,14,1,2,4,5,6,7,10]=>[10,7,6,5,4,2,1,14,13,12,11,9,8,3]
[3,8,10,11,12,13,14,1,2,4,5,6,7,9]=>[9,7,6,5,4,2,1,14,13,12,11,10,8,3]
[3,9,10,11,12,13,14,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,14,13,12,11,10,9,3]
[4,5,7,9,12,13,14,1,2,3,6,8,10,11]=>[11,10,8,6,3,2,1,14,13,12,9,7,5,4]
[4,5,7,10,11,13,14,1,2,3,6,8,9,12]=>[12,9,8,6,3,2,1,14,13,11,10,7,5,4]
[4,5,7,10,12,13,14,1,2,3,6,8,9,11]=>[11,9,8,6,3,2,1,14,13,12,10,7,5,4]
[4,5,7,11,12,13,14,1,2,3,6,8,9,10]=>[10,9,8,6,3,2,1,14,13,12,11,7,5,4]
[4,5,8,9,11,13,14,1,2,3,6,7,10,12]=>[12,10,7,6,3,2,1,14,13,11,9,8,5,4]
[4,5,8,9,12,13,14,1,2,3,6,7,10,11]=>[11,10,7,6,3,2,1,14,13,12,9,8,5,4]
[4,5,8,10,11,13,14,1,2,3,6,7,9,12]=>[12,9,7,6,3,2,1,14,13,11,10,8,5,4]
[4,5,8,10,12,13,14,1,2,3,6,7,9,11]=>[11,9,7,6,3,2,1,14,13,12,10,8,5,4]
[4,5,8,11,12,13,14,1,2,3,6,7,9,10]=>[10,9,7,6,3,2,1,14,13,12,11,8,5,4]
[4,5,9,10,11,13,14,1,2,3,6,7,8,12]=>[12,8,7,6,3,2,1,14,13,11,10,9,5,4]
[4,5,9,10,12,13,14,1,2,3,6,7,8,11]=>[11,8,7,6,3,2,1,14,13,12,10,9,5,4]
[4,5,9,11,12,13,14,1,2,3,6,7,8,10]=>[10,8,7,6,3,2,1,14,13,12,11,9,5,4]
[4,5,10,11,12,13,14,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,14,13,12,11,10,5,4]
[4,6,7,9,12,13,14,1,2,3,5,8,10,11]=>[11,10,8,5,3,2,1,14,13,12,9,7,6,4]
[4,6,7,10,11,13,14,1,2,3,5,8,9,12]=>[12,9,8,5,3,2,1,14,13,11,10,7,6,4]
[4,6,7,10,12,13,14,1,2,3,5,8,9,11]=>[11,9,8,5,3,2,1,14,13,12,10,7,6,4]
[4,6,7,11,12,13,14,1,2,3,5,8,9,10]=>[10,9,8,5,3,2,1,14,13,12,11,7,6,4]
[4,6,8,9,12,13,14,1,2,3,5,7,10,11]=>[11,10,7,5,3,2,1,14,13,12,9,8,6,4]
[4,6,8,10,11,13,14,1,2,3,5,7,9,12]=>[12,9,7,5,3,2,1,14,13,11,10,8,6,4]
[4,6,8,10,12,13,14,1,2,3,5,7,9,11]=>[11,9,7,5,3,2,1,14,13,12,10,8,6,4]
[4,6,8,11,12,13,14,1,2,3,5,7,9,10]=>[10,9,7,5,3,2,1,14,13,12,11,8,6,4]
[4,6,9,10,11,13,14,1,2,3,5,7,8,12]=>[12,8,7,5,3,2,1,14,13,11,10,9,6,4]
[4,6,9,10,12,13,14,1,2,3,5,7,8,11]=>[11,8,7,5,3,2,1,14,13,12,10,9,6,4]
[4,6,9,11,12,13,14,1,2,3,5,7,8,10]=>[10,8,7,5,3,2,1,14,13,12,11,9,6,4]
[4,6,10,11,12,13,14,1,2,3,5,7,8,9]=>[9,8,7,5,3,2,1,14,13,12,11,10,6,4]
[4,7,8,9,12,13,14,1,2,3,5,6,10,11]=>[11,10,6,5,3,2,1,14,13,12,9,8,7,4]
[4,7,8,10,11,13,14,1,2,3,5,6,9,12]=>[12,9,6,5,3,2,1,14,13,11,10,8,7,4]
[4,7,8,10,12,13,14,1,2,3,5,6,9,11]=>[11,9,6,5,3,2,1,14,13,12,10,8,7,4]
[4,7,8,11,12,13,14,1,2,3,5,6,9,10]=>[10,9,6,5,3,2,1,14,13,12,11,8,7,4]
[4,7,9,10,11,13,14,1,2,3,5,6,8,12]=>[12,8,6,5,3,2,1,14,13,11,10,9,7,4]
[4,7,9,10,12,13,14,1,2,3,5,6,8,11]=>[11,8,6,5,3,2,1,14,13,12,10,9,7,4]
[4,7,9,11,12,13,14,1,2,3,5,6,8,10]=>[10,8,6,5,3,2,1,14,13,12,11,9,7,4]
[4,7,10,11,12,13,14,1,2,3,5,6,8,9]=>[9,8,6,5,3,2,1,14,13,12,11,10,7,4]
[4,8,9,10,11,13,14,1,2,3,5,6,7,12]=>[12,7,6,5,3,2,1,14,13,11,10,9,8,4]
[4,8,9,10,12,13,14,1,2,3,5,6,7,11]=>[11,7,6,5,3,2,1,14,13,12,10,9,8,4]
[4,8,9,11,12,13,14,1,2,3,5,6,7,10]=>[10,7,6,5,3,2,1,14,13,12,11,9,8,4]
[4,8,10,11,12,13,14,1,2,3,5,6,7,9]=>[9,7,6,5,3,2,1,14,13,12,11,10,8,4]
[4,9,10,11,12,13,14,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,14,13,12,11,10,9,4]
[5,6,7,9,12,13,14,1,2,3,4,8,10,11]=>[11,10,8,4,3,2,1,14,13,12,9,7,6,5]
[5,6,7,10,11,13,14,1,2,3,4,8,9,12]=>[12,9,8,4,3,2,1,14,13,11,10,7,6,5]
[5,6,7,10,12,13,14,1,2,3,4,8,9,11]=>[11,9,8,4,3,2,1,14,13,12,10,7,6,5]
[5,6,7,11,12,13,14,1,2,3,4,8,9,10]=>[10,9,8,4,3,2,1,14,13,12,11,7,6,5]
[5,6,8,9,11,13,14,1,2,3,4,7,10,12]=>[12,10,7,4,3,2,1,14,13,11,9,8,6,5]
[5,6,8,9,12,13,14,1,2,3,4,7,10,11]=>[11,10,7,4,3,2,1,14,13,12,9,8,6,5]
[5,6,8,10,11,13,14,1,2,3,4,7,9,12]=>[12,9,7,4,3,2,1,14,13,11,10,8,6,5]
[5,6,8,10,12,13,14,1,2,3,4,7,9,11]=>[11,9,7,4,3,2,1,14,13,12,10,8,6,5]
[5,6,8,11,12,13,14,1,2,3,4,7,9,10]=>[10,9,7,4,3,2,1,14,13,12,11,8,6,5]
[5,6,9,10,11,13,14,1,2,3,4,7,8,12]=>[12,8,7,4,3,2,1,14,13,11,10,9,6,5]
[5,6,9,10,12,13,14,1,2,3,4,7,8,11]=>[11,8,7,4,3,2,1,14,13,12,10,9,6,5]
[5,6,9,11,12,13,14,1,2,3,4,7,8,10]=>[10,8,7,4,3,2,1,14,13,12,11,9,6,5]
[5,6,10,11,12,13,14,1,2,3,4,7,8,9]=>[9,8,7,4,3,2,1,14,13,12,11,10,6,5]
[5,7,8,9,12,13,14,1,2,3,4,6,10,11]=>[11,10,6,4,3,2,1,14,13,12,9,8,7,5]
[5,7,8,10,11,13,14,1,2,3,4,6,9,12]=>[12,9,6,4,3,2,1,14,13,11,10,8,7,5]
[5,7,8,10,12,13,14,1,2,3,4,6,9,11]=>[11,9,6,4,3,2,1,14,13,12,10,8,7,5]
[5,7,8,11,12,13,14,1,2,3,4,6,9,10]=>[10,9,6,4,3,2,1,14,13,12,11,8,7,5]
[5,7,9,10,11,13,14,1,2,3,4,6,8,12]=>[12,8,6,4,3,2,1,14,13,11,10,9,7,5]
[5,7,9,10,12,13,14,1,2,3,4,6,8,11]=>[11,8,6,4,3,2,1,14,13,12,10,9,7,5]
[5,7,9,11,12,13,14,1,2,3,4,6,8,10]=>[10,8,6,4,3,2,1,14,13,12,11,9,7,5]
[5,7,10,11,12,13,14,1,2,3,4,6,8,9]=>[9,8,6,4,3,2,1,14,13,12,11,10,7,5]
[5,8,9,10,11,13,14,1,2,3,4,6,7,12]=>[12,7,6,4,3,2,1,14,13,11,10,9,8,5]
[5,8,9,10,12,13,14,1,2,3,4,6,7,11]=>[11,7,6,4,3,2,1,14,13,12,10,9,8,5]
[5,8,9,11,12,13,14,1,2,3,4,6,7,10]=>[10,7,6,4,3,2,1,14,13,12,11,9,8,5]
[5,8,10,11,12,13,14,1,2,3,4,6,7,9]=>[9,7,6,4,3,2,1,14,13,12,11,10,8,5]
[5,9,10,11,12,13,14,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,14,13,12,11,10,9,5]
[6,7,8,9,11,13,14,1,2,3,4,5,10,12]=>[12,10,5,4,3,2,1,14,13,11,9,8,7,6]
[6,7,8,9,12,13,14,1,2,3,4,5,10,11]=>[11,10,5,4,3,2,1,14,13,12,9,8,7,6]
[6,7,8,10,11,13,14,1,2,3,4,5,9,12]=>[12,9,5,4,3,2,1,14,13,11,10,8,7,6]
[6,7,8,10,12,13,14,1,2,3,4,5,9,11]=>[11,9,5,4,3,2,1,14,13,12,10,8,7,6]
[6,7,8,11,12,13,14,1,2,3,4,5,9,10]=>[10,9,5,4,3,2,1,14,13,12,11,8,7,6]
[6,7,9,10,11,13,14,1,2,3,4,5,8,12]=>[12,8,5,4,3,2,1,14,13,11,10,9,7,6]
[6,7,9,10,12,13,14,1,2,3,4,5,8,11]=>[11,8,5,4,3,2,1,14,13,12,10,9,7,6]
[6,7,9,11,12,13,14,1,2,3,4,5,8,10]=>[10,8,5,4,3,2,1,14,13,12,11,9,7,6]
[6,7,10,11,12,13,14,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,14,13,12,11,10,7,6]
[6,8,9,10,11,13,14,1,2,3,4,5,7,12]=>[12,7,5,4,3,2,1,14,13,11,10,9,8,6]
[6,8,9,10,12,13,14,1,2,3,4,5,7,11]=>[11,7,5,4,3,2,1,14,13,12,10,9,8,6]
[6,8,9,11,12,13,14,1,2,3,4,5,7,10]=>[10,7,5,4,3,2,1,14,13,12,11,9,8,6]
[6,8,10,11,12,13,14,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,14,13,12,11,10,8,6]
[6,9,10,11,12,13,14,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,14,13,12,11,10,9,6]
[7,8,9,10,11,13,14,1,2,3,4,5,6,12]=>[12,6,5,4,3,2,1,14,13,11,10,9,8,7]
[7,8,9,10,12,13,14,1,2,3,4,5,6,11]=>[11,6,5,4,3,2,1,14,13,12,10,9,8,7]
[7,8,9,11,12,13,14,1,2,3,4,5,6,10]=>[10,6,5,4,3,2,1,14,13,12,11,9,8,7]
[7,8,10,11,12,13,14,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,14,13,12,11,10,8,7]
[7,9,10,11,12,13,14,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,14,13,12,11,10,9,7]
[8,9,10,11,12,13,14,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,14,13,12,11,10,9,8]
[7,8,9,10,11,12,14,1,2,3,4,5,6,13]=>[13,6,5,4,3,2,1,14,12,11,10,9,8,7]
[2,9,10,11,12,13,14,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,14,13,12,11,10,9,2]
[6,8,9,10,11,12,14,1,2,3,4,5,7,13]=>[13,7,5,4,3,2,1,14,12,11,10,9,8,6]
[2,8,10,11,12,13,14,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,14,13,12,11,10,8,2]
[6,7,9,10,11,12,14,1,2,3,4,5,8,13]=>[13,8,5,4,3,2,1,14,12,11,10,9,7,6]
[5,8,9,10,11,12,14,1,2,3,4,6,7,13]=>[13,7,6,4,3,2,1,14,12,11,10,9,8,5]
[2,8,9,11,12,13,14,1,3,4,5,6,7,10]=>[10,7,6,5,4,3,1,14,13,12,11,9,8,2]
[2,7,10,11,12,13,14,1,3,4,5,6,8,9]=>[9,8,6,5,4,3,1,14,13,12,11,10,7,2]
[6,7,8,10,11,12,14,1,2,3,4,5,9,13]=>[13,9,5,4,3,2,1,14,12,11,10,8,7,6]
[5,7,9,10,11,12,14,1,2,3,4,6,8,13]=>[13,8,6,4,3,2,1,14,12,11,10,9,7,5]
[4,8,9,10,11,12,14,1,2,3,5,6,7,13]=>[13,7,6,5,3,2,1,14,12,11,10,9,8,4]
[2,8,9,10,12,13,14,1,3,4,5,6,7,11]=>[11,7,6,5,4,3,1,14,13,12,10,9,8,2]
[2,7,9,11,12,13,14,1,3,4,5,6,8,10]=>[10,8,6,5,4,3,1,14,13,12,11,9,7,2]
[2,6,10,11,12,13,14,1,3,4,5,7,8,9]=>[9,8,7,5,4,3,1,14,13,12,11,10,6,2]
[6,7,8,9,11,12,14,1,2,3,4,5,10,13]=>[13,10,5,4,3,2,1,14,12,11,9,8,7,6]
[5,7,8,10,11,12,14,1,2,3,4,6,9,13]=>[13,9,6,4,3,2,1,14,12,11,10,8,7,5]
[5,6,9,10,11,12,14,1,2,3,4,7,8,13]=>[13,8,7,4,3,2,1,14,12,11,10,9,6,5]
[4,7,9,10,11,12,14,1,2,3,5,6,8,13]=>[13,8,6,5,3,2,1,14,12,11,10,9,7,4]
[3,8,9,10,11,12,14,1,2,4,5,6,7,13]=>[13,7,6,5,4,2,1,14,12,11,10,9,8,3]
[6,7,8,9,10,13,14,1,2,3,4,5,11,12]=>[12,11,5,4,3,2,1,14,13,10,9,8,7,6]
[2,8,9,10,11,13,14,1,3,4,5,6,7,12]=>[12,7,6,5,4,3,1,14,13,11,10,9,8,2]
[2,7,9,10,12,13,14,1,3,4,5,6,8,11]=>[11,8,6,5,4,3,1,14,13,12,10,9,7,2]
[2,7,8,11,12,13,14,1,3,4,5,6,9,10]=>[10,9,6,5,4,3,1,14,13,12,11,8,7,2]
[2,6,9,11,12,13,14,1,3,4,5,7,8,10]=>[10,8,7,5,4,3,1,14,13,12,11,9,6,2]
[3,4,10,11,12,13,14,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,14,13,12,11,10,4,3]
[2,5,10,11,12,13,14,1,3,4,6,7,8,9]=>[9,8,7,6,4,3,1,14,13,12,11,10,5,2]
[14,12,13,9,10,11,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,11,10,9,13,12,14]
[14,12,13,10,11,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,11,10,13,12,14]
[14,13,10,11,12,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,12,11,10,13,14]
[2,1,4,3,6,5,8,7,10,9,13,14,12,11]=>[11,12,14,13,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,11,13,10,14,12,9]=>[9,12,14,10,13,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,11,8,13,10,14,12,7]=>[7,12,14,10,13,8,11,9,5,6,3,4,1,2]
[2,1,4,3,7,9,6,11,8,13,10,14,12,5]=>[5,12,14,10,13,8,11,6,9,7,3,4,1,2]
[2,1,5,7,4,9,6,11,8,13,10,14,12,3]=>[3,12,14,10,13,8,11,6,9,4,7,5,1,2]
[2,1,4,3,6,5,8,7,12,13,14,11,10,9]=>[9,10,11,14,13,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,11,13,9,8,14,12,7]=>[7,12,14,8,9,13,11,10,5,6,3,4,1,2]
[2,1,4,3,8,9,11,7,6,13,10,14,12,5]=>[5,12,14,10,13,6,7,11,9,8,3,4,1,2]
[2,1,6,7,9,5,4,11,8,13,10,14,12,3]=>[3,12,14,10,13,8,11,4,5,9,7,6,1,2]
[2,1,4,3,6,5,10,12,13,9,14,11,8,7]=>[7,8,11,14,9,13,12,10,5,6,3,4,1,2]
[2,1,4,3,8,10,11,7,13,9,6,14,12,5]=>[5,12,14,6,9,13,7,11,10,8,3,4,1,2]
[2,1,4,3,6,5,11,12,13,14,10,9,8,7]=>[7,8,9,10,14,13,12,11,5,6,3,4,1,2]
[2,1,6,8,9,5,11,7,4,13,10,14,12,3]=>[3,12,14,10,13,4,7,11,5,9,8,6,1,2]
[2,1,4,3,9,10,11,13,8,7,6,14,12,5]=>[5,12,14,6,7,8,13,11,10,9,3,4,1,2]
[2,1,7,8,9,11,6,5,4,13,10,14,12,3]=>[3,12,14,10,13,4,5,6,11,9,8,7,1,2]
[2,1,4,3,8,10,12,7,13,9,14,11,6,5]=>[5,6,11,14,9,13,7,12,10,8,3,4,1,2]
[2,1,6,8,10,5,11,7,13,9,4,14,12,3]=>[3,12,14,4,9,13,7,11,5,10,8,6,1,2]
[2,1,4,3,8,11,12,7,13,14,10,9,6,5]=>[5,6,9,10,14,13,7,12,11,8,3,4,1,2]
[2,1,6,9,10,5,11,13,8,7,4,14,12,3]=>[3,12,14,4,7,8,13,11,5,10,9,6,1,2]
[2,1,4,3,9,11,12,13,8,14,10,7,6,5]=>[5,6,7,10,14,8,13,12,11,9,3,4,1,2]
[2,1,7,9,10,11,6,13,8,5,4,14,12,3]=>[3,12,14,4,5,8,13,6,11,10,9,7,1,2]
[10,14,6,9,13,3,5,8,12,1,2,4,7,11]=>[11,7,4,2,1,12,8,5,3,13,9,6,14,10]
[14,13,6,9,12,3,5,8,11,1,2,4,7,10]=>[10,7,4,2,1,11,8,5,3,12,9,6,13,14]
[14,9,13,8,12,3,5,7,11,1,2,4,6,10]=>[10,6,4,2,1,11,7,5,3,12,8,13,9,14]
[14,9,13,5,8,12,4,7,11,1,2,3,6,10]=>[10,6,3,2,1,11,7,4,12,8,5,13,9,14]
[14,9,13,5,8,12,2,4,7,11,1,3,6,10]=>[10,6,3,1,11,7,4,2,12,8,5,13,9,14]
[13,14,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13]
[12,14,11,13,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,13,11,14,12]
[12,14,10,13,9,11,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,11,9,13,10,14,12]
[12,14,10,13,8,11,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,11,8,13,10,14,12]
[12,14,10,13,8,11,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,11,8,13,10,14,12]
[12,14,10,13,8,11,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,11,8,13,10,14,12]
[12,14,10,13,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,13,10,14,12]
[11,14,10,13,9,12,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,12,9,13,10,14,11]
[12,14,9,13,8,11,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,11,8,13,9,14,12]
[12,14,10,13,7,11,6,9,5,8,3,4,1,2]=>[2,1,4,3,8,5,9,6,11,7,13,10,14,12]
[12,14,10,13,8,11,5,9,4,7,3,6,1,2]=>[2,1,6,3,7,4,9,5,11,8,13,10,14,12]
[12,14,10,13,8,11,6,9,3,7,2,5,1,4]=>[4,1,5,2,7,3,9,6,11,8,13,10,14,12]
[11,14,9,13,8,12,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,12,8,13,9,14,11]
[12,14,9,13,7,11,6,10,5,8,3,4,1,2]=>[2,1,4,3,8,5,10,6,11,7,13,9,14,12]
[10,14,9,13,8,12,7,11,5,6,3,4,1,2]=>[2,1,4,3,6,5,11,7,12,8,13,9,14,10]
[12,14,10,13,7,11,5,9,4,8,3,6,1,2]=>[2,1,6,3,8,4,9,5,11,7,13,10,14,12]
[12,14,8,13,7,11,6,10,5,9,3,4,1,2]=>[2,1,4,3,9,5,10,6,11,7,13,8,14,12]
[12,14,10,13,8,11,5,9,3,7,2,6,1,4]=>[4,1,6,2,7,3,9,5,11,8,13,10,14,12]
[12,14,10,13,6,11,5,9,4,8,3,7,1,2]=>[2,1,7,3,8,4,9,5,11,6,13,10,14,12]
[12,14,10,13,8,11,4,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,4,11,8,13,10,14,12]
[11,14,9,13,7,12,6,10,5,8,3,4,1,2]=>[2,1,4,3,8,5,10,6,12,7,13,9,14,11]
[12,14,9,13,7,11,5,10,4,8,3,6,1,2]=>[2,1,6,3,8,4,10,5,11,7,13,9,14,12]
[10,14,9,13,7,12,6,11,5,8,3,4,1,2]=>[2,1,4,3,8,5,11,6,12,7,13,9,14,10]
[12,14,10,13,7,11,5,9,3,8,2,6,1,4]=>[4,1,6,2,8,3,9,5,11,7,13,10,14,12]
[12,14,8,13,7,11,5,10,4,9,3,6,1,2]=>[2,1,6,3,9,4,10,5,11,7,13,8,14,12]
[10,14,8,13,7,12,6,11,5,9,3,4,1,2]=>[2,1,4,3,9,5,11,6,12,7,13,8,14,10]
[12,14,10,13,6,11,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,11,6,13,10,14,12]
[12,14,8,13,6,11,5,10,4,9,3,7,1,2]=>[2,1,7,3,9,4,10,5,11,6,13,8,14,12]
[12,14,10,13,6,11,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,11,6,13,10,14,12]
[8,1,9,2,10,3,11,4,12,5,13,6,14,7]=>[7,14,6,13,5,12,4,11,3,10,2,9,1,8]
[8,1,9,2,10,3,11,4,12,5,13,14,6,7]=>[7,6,14,13,5,12,4,11,3,10,2,9,1,8]
[8,1,9,2,10,3,11,4,12,13,5,14,6,7]=>[7,6,14,5,13,12,4,11,3,10,2,9,1,8]
[8,1,9,2,10,3,11,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,11,3,10,2,9,1,8]
[8,1,9,2,10,11,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,11,10,2,9,1,8]
[8,1,9,10,2,11,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,11,2,10,9,1,8]
[8,9,1,10,2,11,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,11,2,10,1,9,8]
[8,1,9,2,10,3,11,4,12,13,14,5,6,7]=>[7,6,5,14,13,12,4,11,3,10,2,9,1,8]
[8,1,9,2,10,3,11,12,13,4,5,14,6,7]=>[7,6,14,5,4,13,12,11,3,10,2,9,1,8]
[8,1,9,2,10,11,12,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,12,11,10,2,9,1,8]
[8,1,9,10,11,2,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,2,11,10,9,1,8]
[8,9,10,1,2,11,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,11,2,1,10,9,8]
[8,1,9,2,10,3,11,12,13,4,14,5,6,7]=>[7,6,5,14,4,13,12,11,3,10,2,9,1,8]
[8,1,9,2,10,11,12,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,12,11,10,2,9,1,8]
[8,1,9,2,10,3,11,12,13,14,4,5,6,7]=>[7,6,5,4,14,13,12,11,3,10,2,9,1,8]
[8,1,9,10,11,2,12,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,12,2,11,10,9,1,8]
[8,1,9,2,10,11,12,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,12,11,10,2,9,1,8]
[8,9,10,1,11,2,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,2,11,1,10,9,8]
[8,1,9,10,11,12,2,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,2,12,11,10,9,1,8]
[8,9,10,11,1,2,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,2,1,11,10,9,8]
[8,1,9,2,10,11,12,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,12,11,10,2,9,1,8]
[8,1,9,10,11,2,12,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,12,2,11,10,9,1,8]
[8,1,9,2,10,11,12,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,12,11,10,2,9,1,8]
[8,9,10,1,11,2,12,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,12,2,11,1,10,9,8]
[8,1,9,10,11,2,12,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,12,2,11,10,9,1,8]
[8,1,9,2,10,11,12,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,12,11,10,2,9,1,8]
[8,9,10,1,11,12,2,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,2,12,11,1,10,9,8]
[8,1,9,10,11,12,2,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,2,12,11,10,9,1,8]
[8,9,10,11,1,12,2,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,2,12,1,11,10,9,8]
[13,14,6,12,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,12,6,14,13]
[8,14,7,13,6,12,5,11,4,10,3,9,1,2]=>[2,1,9,3,10,4,11,5,12,6,13,7,14,8]
[13,14,7,12,5,11,4,10,3,9,2,8,1,6]=>[6,1,8,2,9,3,10,4,11,5,12,7,14,13]
[9,14,7,13,6,12,5,11,4,10,3,8,1,2]=>[2,1,8,3,10,4,11,5,12,6,13,7,14,9]
[13,14,8,12,5,11,4,10,3,9,2,7,1,6]=>[6,1,7,2,9,3,10,4,11,5,12,8,14,13]
[13,14,7,12,6,11,4,10,3,9,2,8,1,5]=>[5,1,8,2,9,3,10,4,11,6,12,7,14,13]
[10,14,7,13,6,12,5,11,4,9,3,8,1,2]=>[2,1,8,3,9,4,11,5,12,6,13,7,14,10]
[9,14,8,13,6,12,5,11,4,10,3,7,1,2]=>[2,1,7,3,10,4,11,5,12,6,13,8,14,9]
[13,14,9,12,5,11,4,10,3,8,2,7,1,6]=>[6,1,7,2,8,3,10,4,11,5,12,9,14,13]
[13,14,8,12,6,11,4,10,3,9,2,7,1,5]=>[5,1,7,2,9,3,10,4,11,6,12,8,14,13]
[13,14,7,12,6,11,5,10,3,9,2,8,1,4]=>[4,1,8,2,9,3,10,5,11,6,12,7,14,13]
[11,14,7,13,6,12,5,10,4,9,3,8,1,2]=>[2,1,8,3,9,4,10,5,12,6,13,7,14,11]
[10,14,8,13,6,12,5,11,4,9,3,7,1,2]=>[2,1,7,3,9,4,11,5,12,6,13,8,14,10]
[9,14,8,13,7,12,5,11,4,10,3,6,1,2]=>[2,1,6,3,10,4,11,5,12,7,13,8,14,9]
[13,14,10,12,5,11,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,11,5,12,10,14,13]
[13,14,9,12,6,11,4,10,3,8,2,7,1,5]=>[5,1,7,2,8,3,10,4,11,6,12,9,14,13]
[13,14,8,12,7,11,4,10,3,9,2,6,1,5]=>[5,1,6,2,9,3,10,4,11,7,12,8,14,13]
[13,14,8,12,6,11,5,10,3,9,2,7,1,4]=>[4,1,7,2,9,3,10,5,11,6,12,8,14,13]
[13,14,7,12,6,11,5,10,4,9,2,8,1,3]=>[3,1,8,2,9,4,10,5,11,6,12,7,14,13]
[12,14,11,13,5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5,13,11,14,12]
[12,14,7,13,6,11,5,10,4,9,3,8,1,2]=>[2,1,8,3,9,4,10,5,11,6,13,7,14,12]
[11,14,8,13,6,12,5,10,4,9,3,7,1,2]=>[2,1,7,3,9,4,10,5,12,6,13,8,14,11]
[10,14,9,13,6,12,5,11,4,8,3,7,1,2]=>[2,1,7,3,8,4,11,5,12,6,13,9,14,10]
[10,14,8,13,7,12,5,11,4,9,3,6,1,2]=>[2,1,6,3,9,4,11,5,12,7,13,8,14,10]
[9,14,8,13,7,12,6,11,5,10,2,4,1,3]=>[3,1,4,2,10,5,11,6,12,7,13,8,14,9]
[9,14,8,13,7,12,6,11,4,10,3,5,1,2]=>[2,1,5,3,10,4,11,6,12,7,13,8,14,9]
[8,9,10,11,12,13,1,2,3,4,5,6,14,7]=>[7,14,6,5,4,3,2,1,13,12,11,10,9,8]
[8,1,9,10,11,12,13,14,2,3,4,5,6,7]=>[7,6,5,4,3,2,14,13,12,11,10,9,1,8]
[8,9,10,11,12,1,13,2,3,4,5,6,14,7]=>[7,14,6,5,4,3,2,13,1,12,11,10,9,8]
[8,1,9,10,11,12,13,2,14,3,4,5,6,7]=>[7,6,5,4,3,14,2,13,12,11,10,9,1,8]
[8,9,10,11,12,1,2,13,3,4,5,6,14,7]=>[7,14,6,5,4,3,13,2,1,12,11,10,9,8]
[8,9,10,11,1,12,13,2,3,4,5,6,14,7]=>[7,14,6,5,4,3,2,13,12,1,11,10,9,8]
[8,1,9,10,11,12,13,2,3,14,4,5,6,7]=>[7,6,5,4,14,3,2,13,12,11,10,9,1,8]
[8,1,9,10,11,12,2,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,2,12,11,10,9,1,8]
[8,9,10,11,12,1,2,3,13,4,5,6,14,7]=>[7,14,6,5,4,13,3,2,1,12,11,10,9,8]
[8,9,10,11,1,12,2,13,3,4,5,6,14,7]=>[7,14,6,5,4,3,13,2,12,1,11,10,9,8]
[8,9,10,1,11,12,13,2,3,4,5,6,14,7]=>[7,14,6,5,4,3,2,13,12,11,1,10,9,8]
[8,1,9,10,11,12,13,2,3,4,14,5,6,7]=>[7,6,5,14,4,3,2,13,12,11,10,9,1,8]
[8,1,9,10,11,12,2,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,2,12,11,10,9,1,8]
[8,1,9,10,11,2,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,2,11,10,9,1,8]
[8,9,10,11,12,1,2,3,4,13,5,6,14,7]=>[7,14,6,5,13,4,3,2,1,12,11,10,9,8]
[8,9,10,11,1,12,2,3,13,4,5,6,14,7]=>[7,14,6,5,4,13,3,2,12,1,11,10,9,8]
[8,9,10,11,1,2,12,13,3,4,5,6,14,7]=>[7,14,6,5,4,3,13,12,2,1,11,10,9,8]
[8,9,10,1,11,12,2,13,3,4,5,6,14,7]=>[7,14,6,5,4,3,13,2,12,11,1,10,9,8]
[8,9,1,10,11,12,13,2,3,4,5,6,14,7]=>[7,14,6,5,4,3,2,13,12,11,10,1,9,8]
[8,9,10,11,12,1,2,3,4,5,13,14,6,7]=>[7,6,14,13,5,4,3,2,1,12,11,10,9,8]
[8,1,9,10,11,12,13,2,3,4,5,14,6,7]=>[7,6,14,5,4,3,2,13,12,11,10,9,1,8]
[8,1,9,10,11,12,2,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,2,12,11,10,9,1,8]
[8,1,9,10,11,12,2,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,2,12,11,10,9,1,8]
[8,1,9,10,11,2,12,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,12,2,11,10,9,1,8]
[8,9,1,2,10,11,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,11,10,2,1,9,8]
[8,1,9,10,2,11,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,11,2,10,9,1,8]
[4,8,3,7,11,2,6,10,13,1,5,9,12,14]=>[14,12,9,5,1,13,10,6,2,11,7,3,8,4]
[5,4,3,8,11,2,7,10,13,1,6,9,12,14]=>[14,12,9,6,1,13,10,7,2,11,8,3,4,5]
[5,4,9,3,8,2,7,11,13,1,6,10,12,14]=>[14,12,10,6,1,13,11,7,2,8,3,9,4,5]
[5,4,9,3,8,12,2,7,11,1,6,10,13,14]=>[14,13,10,6,1,11,7,2,12,8,3,9,4,5]
[5,4,9,3,8,12,2,7,11,14,1,6,10,13]=>[13,10,6,1,14,11,7,2,12,8,3,9,4,5]
[3,4,2,1,6,5,8,7,10,9,12,11,14,13]=>[13,14,11,12,9,10,7,8,5,6,1,2,4,3]
[3,5,2,6,4,1,8,7,10,9,12,11,14,13]=>[13,14,11,12,9,10,7,8,1,4,6,2,5,3]
[3,5,2,7,4,8,6,1,10,9,12,11,14,13]=>[13,14,11,12,9,10,1,6,8,4,7,2,5,3]
[3,5,2,7,4,9,6,10,8,1,12,11,14,13]=>[13,14,11,12,1,8,10,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,12,10,1,14,13]=>[13,14,1,10,12,8,11,6,9,4,7,2,5,3]
[4,5,6,3,2,1,8,7,10,9,12,11,14,13]=>[13,14,11,12,9,10,7,8,1,2,3,6,5,4]
[3,6,2,7,8,5,4,1,10,9,12,11,14,13]=>[13,14,11,12,9,10,1,4,5,8,7,2,6,3]
[3,5,2,8,4,9,10,7,6,1,12,11,14,13]=>[13,14,11,12,1,6,7,10,9,4,8,2,5,3]
[3,5,2,7,4,10,6,11,12,9,8,1,14,13]=>[13,14,1,8,9,12,11,6,10,4,7,2,5,3]
[4,6,7,3,8,5,2,1,10,9,12,11,14,13]=>[13,14,11,12,9,10,1,2,5,8,3,7,6,4]
[3,6,2,8,9,5,10,7,4,1,12,11,14,13]=>[13,14,11,12,1,4,7,10,5,9,8,2,6,3]
[5,6,7,8,4,3,2,1,10,9,12,11,14,13]=>[13,14,11,12,9,10,1,2,3,4,8,7,6,5]
[3,5,2,8,4,10,11,7,12,9,6,1,14,13]=>[13,14,1,6,9,12,7,11,10,4,8,2,5,3]
[3,7,2,8,9,10,6,5,4,1,12,11,14,13]=>[13,14,11,12,1,4,5,6,10,9,8,2,7,3]
[3,5,2,9,4,10,11,12,8,7,6,1,14,13]=>[13,14,1,6,7,8,12,11,10,4,9,2,5,3]
[4,6,8,3,9,5,10,7,2,1,12,11,14,13]=>[13,14,11,12,1,2,7,10,5,9,3,8,6,4]
[3,6,2,8,10,5,11,7,12,9,4,1,14,13]=>[13,14,1,4,9,12,7,11,5,10,8,2,6,3]
[5,6,8,9,4,3,10,7,2,1,12,11,14,13]=>[13,14,11,12,1,2,7,10,3,4,9,8,6,5]
[3,7,2,8,10,11,6,5,12,9,4,1,14,13]=>[13,14,1,4,9,12,5,6,11,10,8,2,7,3]
[5,7,8,9,4,10,6,3,2,1,12,11,14,13]=>[13,14,11,12,1,2,3,6,10,4,9,8,7,5]
[3,7,2,9,10,11,6,12,8,5,4,1,14,13]=>[13,14,1,4,5,8,12,6,11,10,9,2,7,3]
[8,9,1,10,2,11,3,12,4,13,14,5,6,7]=>[7,6,5,14,13,4,12,3,11,2,10,1,9,8]
[8,9,1,10,2,11,3,12,13,4,5,14,6,7]=>[7,6,14,5,4,13,12,3,11,2,10,1,9,8]
[8,9,1,10,2,11,3,12,13,4,14,5,6,7]=>[7,6,5,14,4,13,12,3,11,2,10,1,9,8]
[8,9,1,10,2,11,3,12,13,14,4,5,6,7]=>[7,6,5,4,14,13,12,3,11,2,10,1,9,8]
[8,9,1,10,2,11,12,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,12,11,2,10,1,9,8]
[8,9,1,10,2,11,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,11,2,10,1,9,8]
[8,9,1,10,11,2,3,12,4,13,5,14,6,7]=>[7,6,14,5,13,4,12,3,2,11,10,1,9,8]
[8,9,1,10,11,2,3,12,4,13,14,5,6,7]=>[7,6,5,14,13,4,12,3,2,11,10,1,9,8]
[8,9,1,10,11,2,3,12,13,4,5,14,6,7]=>[7,6,14,5,4,13,12,3,2,11,10,1,9,8]
[8,9,1,10,11,2,3,12,13,4,14,5,6,7]=>[7,6,5,14,4,13,12,3,2,11,10,1,9,8]
[8,9,1,10,11,2,3,12,13,14,4,5,6,7]=>[7,6,5,4,14,13,12,3,2,11,10,1,9,8]
[8,9,1,10,11,2,12,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,12,2,11,10,1,9,8]
[8,9,1,10,11,2,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,2,11,10,1,9,8]
[8,9,1,10,11,12,2,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,2,12,11,10,1,9,8]
[8,9,1,10,11,12,2,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,2,12,11,10,1,9,8]
[8,9,1,10,11,12,13,2,3,4,5,14,6,7]=>[7,6,14,5,4,3,2,13,12,11,10,1,9,8]
[8,9,1,10,11,12,13,2,3,4,14,5,6,7]=>[7,6,5,14,4,3,2,13,12,11,10,1,9,8]
[8,9,1,10,11,12,13,2,3,14,4,5,6,7]=>[7,6,5,4,14,3,2,13,12,11,10,1,9,8]
[8,9,1,10,11,12,13,2,14,3,4,5,6,7]=>[7,6,5,4,3,14,2,13,12,11,10,1,9,8]
[8,9,1,10,11,12,13,14,2,3,4,5,6,7]=>[7,6,5,4,3,2,14,13,12,11,10,1,9,8]
[8,9,10,1,2,11,3,12,4,13,14,5,6,7]=>[7,6,5,14,13,4,12,3,11,2,1,10,9,8]
[8,9,10,1,2,11,3,12,13,4,5,14,6,7]=>[7,6,14,5,4,13,12,3,11,2,1,10,9,8]
[8,9,10,1,2,11,3,12,13,4,14,5,6,7]=>[7,6,5,14,4,13,12,3,11,2,1,10,9,8]
[8,9,10,1,2,11,3,12,13,14,4,5,6,7]=>[7,6,5,4,14,13,12,3,11,2,1,10,9,8]
[8,9,10,1,2,11,12,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,12,11,2,1,10,9,8]
[8,9,10,1,2,11,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,11,2,1,10,9,8]
[8,9,10,1,11,2,3,12,4,13,14,5,6,7]=>[7,6,5,14,13,4,12,3,2,11,1,10,9,8]
[8,9,10,1,11,2,3,12,13,4,5,14,6,7]=>[7,6,14,5,4,13,12,3,2,11,1,10,9,8]
[8,9,10,1,11,2,3,12,13,4,14,5,6,7]=>[7,6,5,14,4,13,12,3,2,11,1,10,9,8]
[8,9,10,1,11,2,3,12,13,14,4,5,6,7]=>[7,6,5,4,14,13,12,3,2,11,1,10,9,8]
[8,9,10,1,11,2,12,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,12,2,11,1,10,9,8]
[8,9,10,1,11,2,12,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,12,2,11,1,10,9,8]
[8,9,10,1,11,2,12,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,12,2,11,1,10,9,8]
[8,9,10,1,11,2,12,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,12,2,11,1,10,9,8]
[8,9,10,1,11,2,12,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,12,2,11,1,10,9,8]
[8,9,10,1,11,2,12,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,12,2,11,1,10,9,8]
[8,9,10,1,11,2,12,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,12,2,11,1,10,9,8]
[8,9,10,1,11,2,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,2,11,1,10,9,8]
[8,9,10,1,11,12,2,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,2,12,11,1,10,9,8]
[8,9,10,1,11,12,2,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,2,12,11,1,10,9,8]
[8,9,10,1,11,12,2,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,2,12,11,1,10,9,8]
[8,9,10,1,11,12,2,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,2,12,11,1,10,9,8]
[8,9,10,1,11,12,2,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,2,12,11,1,10,9,8]
[8,9,10,1,11,12,2,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,2,12,11,1,10,9,8]
[8,9,10,1,11,12,2,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,2,12,11,1,10,9,8]
[8,9,10,1,11,12,2,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,2,12,11,1,10,9,8]
[8,9,10,1,11,12,13,2,3,4,5,14,6,7]=>[7,6,14,5,4,3,2,13,12,11,1,10,9,8]
[8,9,10,1,11,12,13,2,3,4,14,5,6,7]=>[7,6,5,14,4,3,2,13,12,11,1,10,9,8]
[8,9,10,1,11,12,13,2,3,14,4,5,6,7]=>[7,6,5,4,14,3,2,13,12,11,1,10,9,8]
[8,9,10,1,11,12,13,2,14,3,4,5,6,7]=>[7,6,5,4,3,14,2,13,12,11,1,10,9,8]
[8,9,10,1,11,12,13,14,2,3,4,5,6,7]=>[7,6,5,4,3,2,14,13,12,11,1,10,9,8]
[8,9,10,11,1,2,3,12,4,13,14,5,6,7]=>[7,6,5,14,13,4,12,3,2,1,11,10,9,8]
[8,9,10,11,1,2,3,12,13,4,5,14,6,7]=>[7,6,14,5,4,13,12,3,2,1,11,10,9,8]
[8,9,10,11,1,2,3,12,13,4,14,5,6,7]=>[7,6,5,14,4,13,12,3,2,1,11,10,9,8]
[8,9,10,11,1,2,3,12,13,14,4,5,6,7]=>[7,6,5,4,14,13,12,3,2,1,11,10,9,8]
[8,9,10,11,1,2,12,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,12,2,1,11,10,9,8]
[8,9,10,11,1,2,12,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,12,2,1,11,10,9,8]
[8,9,10,11,1,12,2,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,2,12,1,11,10,9,8]
[8,9,10,11,1,12,2,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,2,12,1,11,10,9,8]
[8,9,10,11,1,12,2,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,2,12,1,11,10,9,8]
[8,9,10,11,1,12,2,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,2,12,1,11,10,9,8]
[8,9,10,11,1,12,2,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,2,12,1,11,10,9,8]
[8,9,10,11,1,12,2,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,2,12,1,11,10,9,8]
[8,9,10,11,1,12,2,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,2,12,1,11,10,9,8]
[8,9,10,11,1,12,2,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,2,12,1,11,10,9,8]
[8,9,10,11,1,12,13,2,3,4,5,14,6,7]=>[7,6,14,5,4,3,2,13,12,1,11,10,9,8]
[8,9,10,11,1,12,13,2,3,4,14,5,6,7]=>[7,6,5,14,4,3,2,13,12,1,11,10,9,8]
[8,9,10,11,1,12,13,2,3,14,4,5,6,7]=>[7,6,5,4,14,3,2,13,12,1,11,10,9,8]
[8,9,10,11,1,12,13,2,14,3,4,5,6,7]=>[7,6,5,4,3,14,2,13,12,1,11,10,9,8]
[8,9,10,11,1,12,13,14,2,3,4,5,6,7]=>[7,6,5,4,3,2,14,13,12,1,11,10,9,8]
[8,9,10,11,12,1,2,3,4,13,5,14,6,7]=>[7,6,14,5,13,4,3,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,3,4,13,14,5,6,7]=>[7,6,5,14,13,4,3,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,3,13,4,5,14,6,7]=>[7,6,14,5,4,13,3,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,3,13,4,14,5,6,7]=>[7,6,5,14,4,13,3,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,3,13,14,4,5,6,7]=>[7,6,5,4,14,13,3,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,13,3,4,5,14,6,7]=>[7,6,14,5,4,3,13,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,13,3,4,14,5,6,7]=>[7,6,5,14,4,3,13,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,13,3,14,4,5,6,7]=>[7,6,5,4,14,3,13,2,1,12,11,10,9,8]
[8,9,10,11,12,1,2,13,14,3,4,5,6,7]=>[7,6,5,4,3,14,13,2,1,12,11,10,9,8]
[8,9,10,11,12,1,13,2,3,4,5,14,6,7]=>[7,6,14,5,4,3,2,13,1,12,11,10,9,8]
[8,9,10,11,12,1,13,2,3,4,14,5,6,7]=>[7,6,5,14,4,3,2,13,1,12,11,10,9,8]
[8,9,10,11,12,1,13,2,3,14,4,5,6,7]=>[7,6,5,4,14,3,2,13,1,12,11,10,9,8]
[8,9,10,11,12,1,13,2,14,3,4,5,6,7]=>[7,6,5,4,3,14,2,13,1,12,11,10,9,8]
[8,9,10,11,12,1,13,14,2,3,4,5,6,7]=>[7,6,5,4,3,2,14,13,1,12,11,10,9,8]
[8,9,10,11,12,13,1,2,3,4,5,14,6,7]=>[7,6,14,5,4,3,2,1,13,12,11,10,9,8]
[8,9,10,11,12,13,1,2,3,4,14,5,6,7]=>[7,6,5,14,4,3,2,1,13,12,11,10,9,8]
[8,9,10,11,12,13,1,2,3,14,4,5,6,7]=>[7,6,5,4,14,3,2,1,13,12,11,10,9,8]
[8,9,10,11,12,13,1,2,14,3,4,5,6,7]=>[7,6,5,4,3,14,2,1,13,12,11,10,9,8]
[8,9,10,11,12,13,1,14,2,3,4,5,6,7]=>[7,6,5,4,3,2,14,1,13,12,11,10,9,8]
[11,14,10,13,8,12,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,12,8,13,10,14,11]
[12,14,9,13,8,11,6,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,6,11,8,13,9,14,12]
[11,14,9,13,8,12,6,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,6,12,8,13,9,14,11]
[10,14,9,13,8,12,6,11,4,7,2,5,1,3]=>[3,1,5,2,7,4,11,6,12,8,13,9,14,10]
[12,14,10,13,7,11,6,9,4,8,2,5,1,3]=>[3,1,5,2,8,4,9,6,11,7,13,10,14,12]
[11,14,10,13,7,12,6,9,4,8,2,5,1,3]=>[3,1,5,2,8,4,9,6,12,7,13,10,14,11]
[12,14,9,13,7,11,6,10,4,8,2,5,1,3]=>[3,1,5,2,8,4,10,6,11,7,13,9,14,12]
[11,14,9,13,7,12,6,10,4,8,2,5,1,3]=>[3,1,5,2,8,4,10,6,12,7,13,9,14,11]
[10,14,9,13,7,12,6,11,4,8,2,5,1,3]=>[3,1,5,2,8,4,11,6,12,7,13,9,14,10]
[12,14,8,13,7,11,6,10,4,9,2,5,1,3]=>[3,1,5,2,9,4,10,6,11,7,13,8,14,12]
[11,14,8,13,7,12,6,10,4,9,2,5,1,3]=>[3,1,5,2,9,4,10,6,12,7,13,8,14,11]
[10,14,8,13,7,12,6,11,4,9,2,5,1,3]=>[3,1,5,2,9,4,11,6,12,7,13,8,14,10]
[9,14,8,13,7,12,6,11,4,10,2,5,1,3]=>[3,1,5,2,10,4,11,6,12,7,13,8,14,9]
[12,14,10,13,8,11,5,9,4,7,2,6,1,3]=>[3,1,6,2,7,4,9,5,11,8,13,10,14,12]
[11,14,10,13,8,12,5,9,4,7,2,6,1,3]=>[3,1,6,2,7,4,9,5,12,8,13,10,14,11]
[12,14,9,13,8,11,5,10,4,7,2,6,1,3]=>[3,1,6,2,7,4,10,5,11,8,13,9,14,12]
[11,14,9,13,8,12,5,10,4,7,2,6,1,3]=>[3,1,6,2,7,4,10,5,12,8,13,9,14,11]
[10,14,9,13,8,12,5,11,4,7,2,6,1,3]=>[3,1,6,2,7,4,11,5,12,8,13,9,14,10]
[12,14,10,13,7,11,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,11,7,13,10,14,12]
[11,14,10,13,7,12,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,12,7,13,10,14,11]
[12,14,9,13,7,11,5,10,4,8,2,6,1,3]=>[3,1,6,2,8,4,10,5,11,7,13,9,14,12]
[11,14,9,13,7,12,5,10,4,8,2,6,1,3]=>[3,1,6,2,8,4,10,5,12,7,13,9,14,11]
[10,14,9,13,7,12,5,11,4,8,2,6,1,3]=>[3,1,6,2,8,4,11,5,12,7,13,9,14,10]
[12,14,8,13,7,11,5,10,4,9,2,6,1,3]=>[3,1,6,2,9,4,10,5,11,7,13,8,14,12]
[11,14,8,13,7,12,5,10,4,9,2,6,1,3]=>[3,1,6,2,9,4,10,5,12,7,13,8,14,11]
[10,14,8,13,7,12,5,11,4,9,2,6,1,3]=>[3,1,6,2,9,4,11,5,12,7,13,8,14,10]
[9,14,8,13,7,12,5,11,4,10,2,6,1,3]=>[3,1,6,2,10,4,11,5,12,7,13,8,14,9]
[12,14,10,13,6,11,5,9,4,8,2,7,1,3]=>[3,1,7,2,8,4,9,5,11,6,13,10,14,12]
[11,14,10,13,6,12,5,9,4,8,2,7,1,3]=>[3,1,7,2,8,4,9,5,12,6,13,10,14,11]
[12,14,9,13,6,11,5,10,4,8,2,7,1,3]=>[3,1,7,2,8,4,10,5,11,6,13,9,14,12]
[11,14,9,13,6,12,5,10,4,8,2,7,1,3]=>[3,1,7,2,8,4,10,5,12,6,13,9,14,11]
[10,14,9,13,6,12,5,11,4,8,2,7,1,3]=>[3,1,7,2,8,4,11,5,12,6,13,9,14,10]
[12,14,8,13,6,11,5,10,4,9,2,7,1,3]=>[3,1,7,2,9,4,10,5,11,6,13,8,14,12]
[11,14,8,13,6,12,5,10,4,9,2,7,1,3]=>[3,1,7,2,9,4,10,5,12,6,13,8,14,11]
[10,14,8,13,6,12,5,11,4,9,2,7,1,3]=>[3,1,7,2,9,4,11,5,12,6,13,8,14,10]
[9,14,8,13,6,12,5,11,4,10,2,7,1,3]=>[3,1,7,2,10,4,11,5,12,6,13,8,14,9]
[12,14,7,13,6,11,5,10,4,9,2,8,1,3]=>[3,1,8,2,9,4,10,5,11,6,13,7,14,12]
[11,14,7,13,6,12,5,10,4,9,2,8,1,3]=>[3,1,8,2,9,4,10,5,12,6,13,7,14,11]
[10,14,7,13,6,12,5,11,4,9,2,8,1,3]=>[3,1,8,2,9,4,11,5,12,6,13,7,14,10]
[9,14,7,13,6,12,5,11,4,10,2,8,1,3]=>[3,1,8,2,10,4,11,5,12,6,13,7,14,9]
[8,14,7,13,6,12,5,11,4,10,2,9,1,3]=>[3,1,9,2,10,4,11,5,12,6,13,7,14,8]
[11,14,10,13,8,12,6,9,3,7,2,5,1,4]=>[4,1,5,2,7,3,9,6,12,8,13,10,14,11]
[12,14,9,13,8,11,6,10,3,7,2,5,1,4]=>[4,1,5,2,7,3,10,6,11,8,13,9,14,12]
[11,14,9,13,8,12,6,10,3,7,2,5,1,4]=>[4,1,5,2,7,3,10,6,12,8,13,9,14,11]
[10,14,9,13,8,12,6,11,3,7,2,5,1,4]=>[4,1,5,2,7,3,11,6,12,8,13,9,14,10]
[12,14,10,13,7,11,6,9,3,8,2,5,1,4]=>[4,1,5,2,8,3,9,6,11,7,13,10,14,12]
[11,14,10,13,7,12,6,9,3,8,2,5,1,4]=>[4,1,5,2,8,3,9,6,12,7,13,10,14,11]
[12,14,9,13,7,11,6,10,3,8,2,5,1,4]=>[4,1,5,2,8,3,10,6,11,7,13,9,14,12]
[11,14,9,13,7,12,6,10,3,8,2,5,1,4]=>[4,1,5,2,8,3,10,6,12,7,13,9,14,11]
[10,14,9,13,7,12,6,11,3,8,2,5,1,4]=>[4,1,5,2,8,3,11,6,12,7,13,9,14,10]
[12,14,8,13,7,11,6,10,3,9,2,5,1,4]=>[4,1,5,2,9,3,10,6,11,7,13,8,14,12]
[11,14,8,13,7,12,6,10,3,9,2,5,1,4]=>[4,1,5,2,9,3,10,6,12,7,13,8,14,11]
[10,14,8,13,7,12,6,11,3,9,2,5,1,4]=>[4,1,5,2,9,3,11,6,12,7,13,8,14,10]
[9,14,8,13,7,12,6,11,3,10,2,5,1,4]=>[4,1,5,2,10,3,11,6,12,7,13,8,14,9]
[11,14,10,13,8,12,5,9,3,7,2,6,1,4]=>[4,1,6,2,7,3,9,5,12,8,13,10,14,11]
[12,14,9,13,8,11,5,10,3,7,2,6,1,4]=>[4,1,6,2,7,3,10,5,11,8,13,9,14,12]
[11,14,9,13,8,12,5,10,3,7,2,6,1,4]=>[4,1,6,2,7,3,10,5,12,8,13,9,14,11]
[10,14,9,13,8,12,5,11,3,7,2,6,1,4]=>[4,1,6,2,7,3,11,5,12,8,13,9,14,10]
[11,14,10,13,7,12,5,9,3,8,2,6,1,4]=>[4,1,6,2,8,3,9,5,12,7,13,10,14,11]
[12,14,9,13,7,11,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,11,7,13,9,14,12]
[11,14,9,13,7,12,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,12,7,13,9,14,11]
[10,14,9,13,7,12,5,11,3,8,2,6,1,4]=>[4,1,6,2,8,3,11,5,12,7,13,9,14,10]
[12,14,8,13,7,11,5,10,3,9,2,6,1,4]=>[4,1,6,2,9,3,10,5,11,7,13,8,14,12]
[11,14,8,13,7,12,5,10,3,9,2,6,1,4]=>[4,1,6,2,9,3,10,5,12,7,13,8,14,11]
[10,14,8,13,7,12,5,11,3,9,2,6,1,4]=>[4,1,6,2,9,3,11,5,12,7,13,8,14,10]
[9,14,8,13,7,12,5,11,3,10,2,6,1,4]=>[4,1,6,2,10,3,11,5,12,7,13,8,14,9]
[11,14,10,13,6,12,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,12,6,13,10,14,11]
[12,14,9,13,6,11,5,10,3,8,2,7,1,4]=>[4,1,7,2,8,3,10,5,11,6,13,9,14,12]
[11,14,9,13,6,12,5,10,3,8,2,7,1,4]=>[4,1,7,2,8,3,10,5,12,6,13,9,14,11]
[10,14,9,13,6,12,5,11,3,8,2,7,1,4]=>[4,1,7,2,8,3,11,5,12,6,13,9,14,10]
[12,14,8,13,6,11,5,10,3,9,2,7,1,4]=>[4,1,7,2,9,3,10,5,11,6,13,8,14,12]
[11,14,8,13,6,12,5,10,3,9,2,7,1,4]=>[4,1,7,2,9,3,10,5,12,6,13,8,14,11]
[10,14,8,13,6,12,5,11,3,9,2,7,1,4]=>[4,1,7,2,9,3,11,5,12,6,13,8,14,10]
[9,14,8,13,6,12,5,11,3,10,2,7,1,4]=>[4,1,7,2,10,3,11,5,12,6,13,8,14,9]
[12,14,7,13,6,11,5,10,3,9,2,8,1,4]=>[4,1,8,2,9,3,10,5,11,6,13,7,14,12]
[11,14,7,13,6,12,5,10,3,9,2,8,1,4]=>[4,1,8,2,9,3,10,5,12,6,13,7,14,11]
[10,14,7,13,6,12,5,11,3,9,2,8,1,4]=>[4,1,8,2,9,3,11,5,12,6,13,7,14,10]
[9,14,7,13,6,12,5,11,3,10,2,8,1,4]=>[4,1,8,2,10,3,11,5,12,6,13,7,14,9]
[8,14,7,13,6,12,5,11,3,10,2,9,1,4]=>[4,1,9,2,10,3,11,5,12,6,13,7,14,8]
[11,14,10,13,8,12,4,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,4,12,8,13,10,14,11]
[12,14,9,13,8,11,4,10,3,7,2,6,1,5]=>[5,1,6,2,7,3,10,4,11,8,13,9,14,12]
[11,14,9,13,8,12,4,10,3,7,2,6,1,5]=>[5,1,6,2,7,3,10,4,12,8,13,9,14,11]
[10,14,9,13,8,12,4,11,3,7,2,6,1,5]=>[5,1,6,2,7,3,11,4,12,8,13,9,14,10]
[12,14,10,13,7,11,4,9,3,8,2,6,1,5]=>[5,1,6,2,8,3,9,4,11,7,13,10,14,12]
[11,14,10,13,7,12,4,9,3,8,2,6,1,5]=>[5,1,6,2,8,3,9,4,12,7,13,10,14,11]
[12,14,9,13,7,11,4,10,3,8,2,6,1,5]=>[5,1,6,2,8,3,10,4,11,7,13,9,14,12]
[11,14,9,13,7,12,4,10,3,8,2,6,1,5]=>[5,1,6,2,8,3,10,4,12,7,13,9,14,11]
[10,14,9,13,7,12,4,11,3,8,2,6,1,5]=>[5,1,6,2,8,3,11,4,12,7,13,9,14,10]
[12,14,8,13,7,11,4,10,3,9,2,6,1,5]=>[5,1,6,2,9,3,10,4,11,7,13,8,14,12]
[11,14,8,13,7,12,4,10,3,9,2,6,1,5]=>[5,1,6,2,9,3,10,4,12,7,13,8,14,11]
[10,14,8,13,7,12,4,11,3,9,2,6,1,5]=>[5,1,6,2,9,3,11,4,12,7,13,8,14,10]
[9,14,8,13,7,12,4,11,3,10,2,6,1,5]=>[5,1,6,2,10,3,11,4,12,7,13,8,14,9]
[11,14,10,13,6,12,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,12,6,13,10,14,11]
[12,14,9,13,6,11,4,10,3,8,2,7,1,5]=>[5,1,7,2,8,3,10,4,11,6,13,9,14,12]
[11,14,9,13,6,12,4,10,3,8,2,7,1,5]=>[5,1,7,2,8,3,10,4,12,6,13,9,14,11]
[10,14,9,13,6,12,4,11,3,8,2,7,1,5]=>[5,1,7,2,8,3,11,4,12,6,13,9,14,10]
[12,14,8,13,6,11,4,10,3,9,2,7,1,5]=>[5,1,7,2,9,3,10,4,11,6,13,8,14,12]
[11,14,8,13,6,12,4,10,3,9,2,7,1,5]=>[5,1,7,2,9,3,10,4,12,6,13,8,14,11]
[10,14,8,13,6,12,4,11,3,9,2,7,1,5]=>[5,1,7,2,9,3,11,4,12,6,13,8,14,10]
[9,14,8,13,6,12,4,11,3,10,2,7,1,5]=>[5,1,7,2,10,3,11,4,12,6,13,8,14,9]
[12,14,7,13,6,11,4,10,3,9,2,8,1,5]=>[5,1,8,2,9,3,10,4,11,6,13,7,14,12]
[11,14,7,13,6,12,4,10,3,9,2,8,1,5]=>[5,1,8,2,9,3,10,4,12,6,13,7,14,11]
[10,14,7,13,6,12,4,11,3,9,2,8,1,5]=>[5,1,8,2,9,3,11,4,12,6,13,7,14,10]
[9,14,7,13,6,12,4,11,3,10,2,8,1,5]=>[5,1,8,2,10,3,11,4,12,6,13,7,14,9]
[8,14,7,13,6,12,4,11,3,10,2,9,1,5]=>[5,1,9,2,10,3,11,4,12,6,13,7,14,8]
[12,14,10,13,5,11,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,11,5,13,10,14,12]
[11,14,10,13,5,12,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,12,5,13,10,14,11]
[12,14,9,13,5,11,4,10,3,8,2,7,1,6]=>[6,1,7,2,8,3,10,4,11,5,13,9,14,12]
[11,14,9,13,5,12,4,10,3,8,2,7,1,6]=>[6,1,7,2,8,3,10,4,12,5,13,9,14,11]
[10,14,9,13,5,12,4,11,3,8,2,7,1,6]=>[6,1,7,2,8,3,11,4,12,5,13,9,14,10]
[12,14,8,13,5,11,4,10,3,9,2,7,1,6]=>[6,1,7,2,9,3,10,4,11,5,13,8,14,12]
[11,14,8,13,5,12,4,10,3,9,2,7,1,6]=>[6,1,7,2,9,3,10,4,12,5,13,8,14,11]
[10,14,8,13,5,12,4,11,3,9,2,7,1,6]=>[6,1,7,2,9,3,11,4,12,5,13,8,14,10]
[9,14,8,13,5,12,4,11,3,10,2,7,1,6]=>[6,1,7,2,10,3,11,4,12,5,13,8,14,9]
[12,14,7,13,5,11,4,10,3,9,2,8,1,6]=>[6,1,8,2,9,3,10,4,11,5,13,7,14,12]
[11,14,7,13,5,12,4,10,3,9,2,8,1,6]=>[6,1,8,2,9,3,10,4,12,5,13,7,14,11]
[10,14,7,13,5,12,4,11,3,9,2,8,1,6]=>[6,1,8,2,9,3,11,4,12,5,13,7,14,10]
[9,14,7,13,5,12,4,11,3,10,2,8,1,6]=>[6,1,8,2,10,3,11,4,12,5,13,7,14,9]
[8,14,7,13,5,12,4,11,3,10,2,9,1,6]=>[6,1,9,2,10,3,11,4,12,5,13,7,14,8]
[12,14,6,13,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,13,6,14,12]
[11,14,6,13,5,12,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,12,5,13,6,14,11]
[10,14,6,13,5,12,4,11,3,9,2,8,1,7]=>[7,1,8,2,9,3,11,4,12,5,13,6,14,10]
[9,14,6,13,5,12,4,11,3,10,2,8,1,7]=>[7,1,8,2,10,3,11,4,12,5,13,6,14,9]
[8,14,6,13,5,12,4,11,3,10,2,9,1,7]=>[7,1,9,2,10,3,11,4,12,5,13,6,14,8]
[7,14,6,13,5,12,4,11,3,10,2,9,1,8]=>[8,1,9,2,10,3,11,4,12,5,13,6,14,7]
[11,7,12,4,8,13,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,13,8,4,12,7,11]
[15,13,14,10,11,12,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,12,11,10,14,13,15]
[14,13,15,10,11,12,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,12,11,10,15,13,14]
[15,12,13,10,11,14,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,14,11,10,13,12,15]
[14,12,15,10,11,13,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,13,11,10,15,12,14]
[13,12,14,10,11,15,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,15,11,10,14,12,13]
[15,13,14,9,10,11,6,7,8,12,1,2,3,4,5]=>[5,4,3,2,1,12,8,7,6,11,10,9,14,13,15]
[14,13,15,9,10,11,6,7,8,12,1,2,3,4,5]=>[5,4,3,2,1,12,8,7,6,11,10,9,15,13,14]
[15,12,13,9,10,14,6,7,8,11,1,2,3,4,5]=>[5,4,3,2,1,11,8,7,6,14,10,9,13,12,15]
[14,12,15,9,10,13,6,7,8,11,1,2,3,4,5]=>[5,4,3,2,1,11,8,7,6,13,10,9,15,12,14]
[13,12,14,9,10,15,6,7,8,11,1,2,3,4,5]=>[5,4,3,2,1,11,8,7,6,15,10,9,14,12,13]
[15,11,12,9,10,13,6,7,8,14,1,2,3,4,5]=>[5,4,3,2,1,14,8,7,6,13,10,9,12,11,15]
[14,11,15,9,10,12,6,7,8,13,1,2,3,4,5]=>[5,4,3,2,1,13,8,7,6,12,10,9,15,11,14]
[13,11,14,9,10,15,6,7,8,12,1,2,3,4,5]=>[5,4,3,2,1,12,8,7,6,15,10,9,14,11,13]
[12,11,13,9,10,14,6,7,8,15,1,2,3,4,5]=>[5,4,3,2,1,15,8,7,6,14,10,9,13,11,12]
[15,13,14,10,11,12,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,12,11,10,14,13,15]
[14,13,15,10,11,12,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,12,11,10,15,13,14]
[15,12,13,10,11,14,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,14,11,10,13,12,15]
[14,12,15,10,11,13,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,13,11,10,15,12,14]
[13,12,14,10,11,15,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,15,11,10,14,12,13]
[15,13,14,9,10,11,5,6,7,12,1,2,3,4,8]=>[8,4,3,2,1,12,7,6,5,11,10,9,14,13,15]
[14,13,15,9,10,11,5,6,7,12,1,2,3,4,8]=>[8,4,3,2,1,12,7,6,5,11,10,9,15,13,14]
[15,12,13,9,10,14,5,6,7,11,1,2,3,4,8]=>[8,4,3,2,1,11,7,6,5,14,10,9,13,12,15]
[14,12,15,9,10,13,5,6,7,11,1,2,3,4,8]=>[8,4,3,2,1,11,7,6,5,13,10,9,15,12,14]
[13,12,14,9,10,15,5,6,7,11,1,2,3,4,8]=>[8,4,3,2,1,11,7,6,5,15,10,9,14,12,13]
[15,11,12,9,10,13,5,6,7,14,1,2,3,4,8]=>[8,4,3,2,1,14,7,6,5,13,10,9,12,11,15]
[14,11,15,9,10,12,5,6,7,13,1,2,3,4,8]=>[8,4,3,2,1,13,7,6,5,12,10,9,15,11,14]
[13,11,14,9,10,15,5,6,7,12,1,2,3,4,8]=>[8,4,3,2,1,12,7,6,5,15,10,9,14,11,13]
[12,11,13,9,10,14,5,6,7,15,1,2,3,4,8]=>[8,4,3,2,1,15,7,6,5,14,10,9,13,11,12]
[15,13,14,8,9,10,5,6,7,11,1,2,3,4,12]=>[12,4,3,2,1,11,7,6,5,10,9,8,14,13,15]
[14,13,15,8,9,10,5,6,7,11,1,2,3,4,12]=>[12,4,3,2,1,11,7,6,5,10,9,8,15,13,14]
[15,12,13,8,9,14,5,6,7,10,1,2,3,4,11]=>[11,4,3,2,1,10,7,6,5,14,9,8,13,12,15]
[14,12,15,8,9,13,5,6,7,10,1,2,3,4,11]=>[11,4,3,2,1,10,7,6,5,13,9,8,15,12,14]
[13,12,14,8,9,15,5,6,7,10,1,2,3,4,11]=>[11,4,3,2,1,10,7,6,5,15,9,8,14,12,13]
[15,11,12,8,9,13,5,6,7,14,1,2,3,4,10]=>[10,4,3,2,1,14,7,6,5,13,9,8,12,11,15]
[14,11,15,8,9,12,5,6,7,13,1,2,3,4,10]=>[10,4,3,2,1,13,7,6,5,12,9,8,15,11,14]
[13,11,14,8,9,15,5,6,7,12,1,2,3,4,10]=>[10,4,3,2,1,12,7,6,5,15,9,8,14,11,13]
[12,11,13,8,9,14,5,6,7,15,1,2,3,4,10]=>[10,4,3,2,1,15,7,6,5,14,9,8,13,11,12]
[15,10,11,8,9,12,5,6,7,13,1,2,3,4,14]=>[14,4,3,2,1,13,7,6,5,12,9,8,11,10,15]
[14,10,15,8,9,11,5,6,7,12,1,2,3,4,13]=>[13,4,3,2,1,12,7,6,5,11,9,8,15,10,14]
[13,10,14,8,9,15,5,6,7,11,1,2,3,4,12]=>[12,4,3,2,1,11,7,6,5,15,9,8,14,10,13]
[12,10,13,8,9,14,5,6,7,15,1,2,3,4,11]=>[11,4,3,2,1,15,7,6,5,14,9,8,13,10,12]
[11,10,12,8,9,13,5,6,7,14,1,2,3,4,15]=>[15,4,3,2,1,14,7,6,5,13,9,8,12,10,11]
[13,11,14,10,12,15,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,15,12,10,14,11,13]
[13,11,14,9,12,15,6,7,8,10,1,2,3,4,5]=>[5,4,3,2,1,10,8,7,6,15,12,9,14,11,13]
[15,11,12,8,9,13,6,7,10,14,1,2,3,4,5]=>[5,4,3,2,1,14,10,7,6,13,9,8,12,11,15]
[14,11,15,8,9,12,6,7,10,13,1,2,3,4,5]=>[5,4,3,2,1,13,10,7,6,12,9,8,15,11,14]
[13,10,14,8,11,15,6,7,9,12,1,2,3,4,5]=>[5,4,3,2,1,12,9,7,6,15,11,8,14,10,13]
[12,9,13,7,10,14,6,8,11,15,1,2,3,4,5]=>[5,4,3,2,1,15,11,8,6,14,10,7,13,9,12]
[13,11,14,10,12,15,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,15,12,10,14,11,13]
[13,11,14,9,12,15,5,6,7,10,1,2,3,4,8]=>[8,4,3,2,1,10,7,6,5,15,12,9,14,11,13]
[15,11,12,8,9,13,5,6,10,14,1,2,3,4,7]=>[7,4,3,2,1,14,10,6,5,13,9,8,12,11,15]
[14,11,15,8,9,12,5,6,10,13,1,2,3,4,7]=>[7,4,3,2,1,13,10,6,5,12,9,8,15,11,14]
[13,10,14,8,11,15,5,6,9,12,1,2,3,4,7]=>[7,4,3,2,1,12,9,6,5,15,11,8,14,10,13]
[12,9,13,7,10,14,5,8,11,15,1,2,3,4,6]=>[6,4,3,2,1,15,11,8,5,14,10,7,13,9,12]
[15,13,14,8,9,10,4,5,6,11,1,2,3,7,12]=>[12,7,3,2,1,11,6,5,4,10,9,8,14,13,15]
[14,13,15,8,9,10,4,5,6,11,1,2,3,7,12]=>[12,7,3,2,1,11,6,5,4,10,9,8,15,13,14]
[15,12,13,8,9,14,4,5,6,10,1,2,3,7,11]=>[11,7,3,2,1,10,6,5,4,14,9,8,13,12,15]
[14,12,15,8,9,13,4,5,6,10,1,2,3,7,11]=>[11,7,3,2,1,10,6,5,4,13,9,8,15,12,14]
[13,11,14,8,12,15,4,5,6,9,1,2,3,7,10]=>[10,7,3,2,1,9,6,5,4,15,12,8,14,11,13]
[15,11,12,7,8,13,4,5,9,14,1,2,3,6,10]=>[10,6,3,2,1,14,9,5,4,13,8,7,12,11,15]
[14,11,15,7,8,12,4,5,9,13,1,2,3,6,10]=>[10,6,3,2,1,13,9,5,4,12,8,7,15,11,14]
[13,10,14,7,11,15,4,5,8,12,1,2,3,6,9]=>[9,6,3,2,1,12,8,5,4,15,11,7,14,10,13]
[12,9,13,6,10,14,4,7,11,15,1,2,3,5,8]=>[8,5,3,2,1,15,11,7,4,14,10,6,13,9,12]
[15,10,11,6,7,12,3,4,8,13,1,2,5,9,14]=>[14,9,5,2,1,13,8,4,3,12,7,6,11,10,15]
[14,10,15,6,7,11,3,4,8,12,1,2,5,9,13]=>[13,9,5,2,1,12,8,4,3,11,7,6,15,10,14]
[13,9,14,6,10,15,3,4,7,11,1,2,5,8,12]=>[12,8,5,2,1,11,7,4,3,15,10,6,14,9,13]
[12,8,13,5,9,14,3,6,10,15,1,2,4,7,11]=>[11,7,4,2,1,15,10,6,3,14,9,5,13,8,12]
[14,11,15,10,12,13,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,13,12,10,15,11,14]
[14,10,15,9,11,12,6,7,8,13,1,2,3,4,5]=>[5,4,3,2,1,13,8,7,6,12,11,9,15,10,14]
[12,10,13,9,11,14,6,7,8,15,1,2,3,4,5]=>[5,4,3,2,1,15,8,7,6,14,11,9,13,10,12]
[15,12,13,8,9,14,6,7,10,11,1,2,3,4,5]=>[5,4,3,2,1,11,10,7,6,14,9,8,13,12,15]
[13,12,14,8,9,15,6,7,10,11,1,2,3,4,5]=>[5,4,3,2,1,11,10,7,6,15,9,8,14,12,13]
[12,11,13,8,9,14,6,7,10,15,1,2,3,4,5]=>[5,4,3,2,1,15,10,7,6,14,9,8,13,11,12]
[13,9,14,8,10,15,6,7,11,12,1,2,3,4,5]=>[5,4,3,2,1,12,11,7,6,15,10,8,14,9,13]
[12,9,13,8,10,14,6,7,11,15,1,2,3,4,5]=>[5,4,3,2,1,15,11,7,6,14,10,8,13,9,12]
[14,11,15,7,12,13,6,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,6,13,12,7,15,11,14]
[13,11,14,7,12,15,6,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,6,15,12,7,14,11,13]
[14,10,15,7,11,12,6,8,9,13,1,2,3,4,5]=>[5,4,3,2,1,13,9,8,6,12,11,7,15,10,14]
[12,10,13,7,11,14,6,8,9,15,1,2,3,4,5]=>[5,4,3,2,1,15,9,8,6,14,11,7,13,10,12]
[13,9,14,7,10,15,6,8,11,12,1,2,3,4,5]=>[5,4,3,2,1,12,11,8,6,15,10,7,14,9,13]
[14,11,15,10,12,13,5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5,13,12,10,15,11,14]
[14,9,15,8,10,11,5,6,7,12,1,2,3,4,13]=>[13,4,3,2,1,12,7,6,5,11,10,8,15,9,14]
[11,9,12,8,10,13,5,6,7,14,1,2,3,4,15]=>[15,4,3,2,1,14,7,6,5,13,10,8,12,9,11]
[15,12,13,7,8,14,5,6,9,10,1,2,3,4,11]=>[11,4,3,2,1,10,9,6,5,14,8,7,13,12,15]
[13,12,14,7,8,15,5,6,9,10,1,2,3,4,11]=>[11,4,3,2,1,10,9,6,5,15,8,7,14,12,13]
[15,10,11,7,8,12,5,6,9,13,1,2,3,4,14]=>[14,4,3,2,1,13,9,6,5,12,8,7,11,10,15]
[11,10,12,7,8,13,5,6,9,14,1,2,3,4,15]=>[15,4,3,2,1,14,9,6,5,13,8,7,12,10,11]
[13,8,14,7,9,15,5,6,10,11,1,2,3,4,12]=>[12,4,3,2,1,11,10,6,5,15,9,7,14,8,13]
[11,8,12,7,9,13,5,6,10,14,1,2,3,4,15]=>[15,4,3,2,1,14,10,6,5,13,9,7,12,8,11]
[14,11,15,6,12,13,5,7,8,9,1,2,3,4,10]=>[10,4,3,2,1,9,8,7,5,13,12,6,15,11,14]
[13,11,14,6,12,15,5,7,8,9,1,2,3,4,10]=>[10,4,3,2,1,9,8,7,5,15,12,6,14,11,13]
[14,9,15,6,10,11,5,7,8,12,1,2,3,4,13]=>[13,4,3,2,1,12,8,7,5,11,10,6,15,9,14]
[11,9,12,6,10,13,5,7,8,14,1,2,3,4,15]=>[15,4,3,2,1,14,8,7,5,13,10,6,12,9,11]
[13,8,14,6,9,15,5,7,10,11,1,2,3,4,12]=>[12,4,3,2,1,11,10,7,5,15,9,6,14,8,13]
[11,8,12,6,9,13,5,7,10,14,1,2,3,4,15]=>[15,4,3,2,1,14,10,7,5,13,9,6,12,8,11]
[15,13,14,9,10,11,4,5,6,12,1,2,3,7,8]=>[8,7,3,2,1,12,6,5,4,11,10,9,14,13,15]
[14,13,15,9,10,11,4,5,6,12,1,2,3,7,8]=>[8,7,3,2,1,12,6,5,4,11,10,9,15,13,14]
[15,11,12,9,10,13,4,5,6,14,1,2,3,7,8]=>[8,7,3,2,1,14,6,5,4,13,10,9,12,11,15]
[12,11,13,9,10,14,4,5,6,15,1,2,3,7,8]=>[8,7,3,2,1,15,6,5,4,14,10,9,13,11,12]
[14,10,15,9,11,12,4,5,6,13,1,2,3,7,8]=>[8,7,3,2,1,13,6,5,4,12,11,9,15,10,14]
[12,10,13,9,11,14,4,5,6,15,1,2,3,7,8]=>[8,7,3,2,1,15,6,5,4,14,11,9,13,10,12]
[15,10,11,8,9,12,4,5,6,13,1,2,3,7,14]=>[14,7,3,2,1,13,6,5,4,12,9,8,11,10,15]
[11,10,12,8,9,13,4,5,6,14,1,2,3,7,15]=>[15,7,3,2,1,14,6,5,4,13,9,8,12,10,11]
[14,9,15,8,10,11,4,5,6,12,1,2,3,7,13]=>[13,7,3,2,1,12,6,5,4,11,10,8,15,9,14]
[11,9,12,8,10,13,4,5,6,14,1,2,3,7,15]=>[15,7,3,2,1,14,6,5,4,13,10,8,12,9,11]
[15,11,12,6,7,13,4,5,8,14,1,2,3,9,10]=>[10,9,3,2,1,14,8,5,4,13,7,6,12,11,15]
[12,11,13,6,7,14,4,5,8,15,1,2,3,9,10]=>[10,9,3,2,1,15,8,5,4,14,7,6,13,11,12]
[15,10,11,6,7,12,4,5,8,13,1,2,3,9,14]=>[14,9,3,2,1,13,8,5,4,12,7,6,11,10,15]
[11,10,12,6,7,13,4,5,8,14,1,2,3,9,15]=>[15,9,3,2,1,14,8,5,4,13,7,6,12,10,11]
[12,7,13,6,8,14,4,5,9,15,1,2,3,10,11]=>[11,10,3,2,1,15,9,5,4,14,8,6,13,7,12]
[11,7,12,6,8,13,4,5,9,14,1,2,3,10,15]=>[15,10,3,2,1,14,9,5,4,13,8,6,12,7,11]
[14,10,15,5,11,12,4,6,7,13,1,2,3,8,9]=>[9,8,3,2,1,13,7,6,4,12,11,5,15,10,14]
[12,10,13,5,11,14,4,6,7,15,1,2,3,8,9]=>[9,8,3,2,1,15,7,6,4,14,11,5,13,10,12]
[14,9,15,5,10,11,4,6,7,12,1,2,3,8,13]=>[13,8,3,2,1,12,7,6,4,11,10,5,15,9,14]
[11,9,12,5,10,13,4,6,7,14,1,2,3,8,15]=>[15,8,3,2,1,14,7,6,4,13,10,5,12,9,11]
[12,7,13,5,8,14,4,6,9,15,1,2,3,10,11]=>[11,10,3,2,1,15,9,6,4,14,8,5,13,7,12]
[11,7,12,5,8,13,4,6,9,14,1,2,3,10,15]=>[15,10,3,2,1,14,9,6,4,13,8,5,12,7,11]
[15,12,13,8,9,14,3,4,10,11,1,2,5,6,7]=>[7,6,5,2,1,11,10,4,3,14,9,8,13,12,15]
[13,12,14,8,9,15,3,4,10,11,1,2,5,6,7]=>[7,6,5,2,1,11,10,4,3,15,9,8,14,12,13]
[15,11,12,8,9,13,3,4,10,14,1,2,5,6,7]=>[7,6,5,2,1,14,10,4,3,13,9,8,12,11,15]
[12,11,13,8,9,14,3,4,10,15,1,2,5,6,7]=>[7,6,5,2,1,15,10,4,3,14,9,8,13,11,12]
[13,9,14,8,10,15,3,4,11,12,1,2,5,6,7]=>[7,6,5,2,1,12,11,4,3,15,10,8,14,9,13]
[12,9,13,8,10,14,3,4,11,15,1,2,5,6,7]=>[7,6,5,2,1,15,11,4,3,14,10,8,13,9,12]
[15,12,13,7,8,14,3,4,9,10,1,2,5,6,11]=>[11,6,5,2,1,10,9,4,3,14,8,7,13,12,15]
[13,12,14,7,8,15,3,4,9,10,1,2,5,6,11]=>[11,6,5,2,1,10,9,4,3,15,8,7,14,12,13]
[15,10,11,7,8,12,3,4,9,13,1,2,5,6,14]=>[14,6,5,2,1,13,9,4,3,12,8,7,11,10,15]
[11,10,12,7,8,13,3,4,9,14,1,2,5,6,15]=>[15,6,5,2,1,14,9,4,3,13,8,7,12,10,11]
[13,8,14,7,9,15,3,4,10,11,1,2,5,6,12]=>[12,6,5,2,1,11,10,4,3,15,9,7,14,8,13]
[11,8,12,7,9,13,3,4,10,14,1,2,5,6,15]=>[15,6,5,2,1,14,10,4,3,13,9,7,12,8,11]
[15,11,12,6,7,13,3,4,8,14,1,2,5,9,10]=>[10,9,5,2,1,14,8,4,3,13,7,6,12,11,15]
[12,11,13,6,7,14,3,4,8,15,1,2,5,9,10]=>[10,9,5,2,1,15,8,4,3,14,7,6,13,11,12]
[11,10,12,6,7,13,3,4,8,14,1,2,5,9,15]=>[15,9,5,2,1,14,8,4,3,13,7,6,12,10,11]
[12,7,13,6,8,14,3,4,9,15,1,2,5,10,11]=>[11,10,5,2,1,15,9,4,3,14,8,6,13,7,12]
[11,7,12,6,8,13,3,4,9,14,1,2,5,10,15]=>[15,10,5,2,1,14,9,4,3,13,8,6,12,7,11]
[13,9,14,4,10,15,3,5,11,12,1,2,6,7,8]=>[8,7,6,2,1,12,11,5,3,15,10,4,14,9,13]
[12,9,13,4,10,14,3,5,11,15,1,2,6,7,8]=>[8,7,6,2,1,15,11,5,3,14,10,4,13,9,12]
[13,8,14,4,9,15,3,5,10,11,1,2,6,7,12]=>[12,7,6,2,1,11,10,5,3,15,9,4,14,8,13]
[11,8,12,4,9,13,3,5,10,14,1,2,6,7,15]=>[15,7,6,2,1,14,10,5,3,13,9,4,12,8,11]
[12,7,13,4,8,14,3,5,9,15,1,2,6,10,11]=>[11,10,6,2,1,15,9,5,3,14,8,4,13,7,12]
[11,7,12,4,8,13,3,5,9,14,1,2,6,10,15]=>[15,10,6,2,1,14,9,5,3,13,8,4,12,7,11]
[14,11,15,7,12,13,2,8,9,10,1,3,4,5,6]=>[6,5,4,3,1,10,9,8,2,13,12,7,15,11,14]
[13,11,14,7,12,15,2,8,9,10,1,3,4,5,6]=>[6,5,4,3,1,10,9,8,2,15,12,7,14,11,13]
[14,10,15,7,11,12,2,8,9,13,1,3,4,5,6]=>[6,5,4,3,1,13,9,8,2,12,11,7,15,10,14]
[12,10,13,7,11,14,2,8,9,15,1,3,4,5,6]=>[6,5,4,3,1,15,9,8,2,14,11,7,13,10,12]
[13,9,14,7,10,15,2,8,11,12,1,3,4,5,6]=>[6,5,4,3,1,12,11,8,2,15,10,7,14,9,13]
[12,9,13,7,10,14,2,8,11,15,1,3,4,5,6]=>[6,5,4,3,1,15,11,8,2,14,10,7,13,9,12]
[14,11,15,6,12,13,2,7,8,9,1,3,4,5,10]=>[10,5,4,3,1,9,8,7,2,13,12,6,15,11,14]
[13,11,14,6,12,15,2,7,8,9,1,3,4,5,10]=>[10,5,4,3,1,9,8,7,2,15,12,6,14,11,13]
[14,9,15,6,10,11,2,7,8,12,1,3,4,5,13]=>[13,5,4,3,1,12,8,7,2,11,10,6,15,9,14]
[11,9,12,6,10,13,2,7,8,14,1,3,4,5,15]=>[15,5,4,3,1,14,8,7,2,13,10,6,12,9,11]
[13,8,14,6,9,15,2,7,10,11,1,3,4,5,12]=>[12,5,4,3,1,11,10,7,2,15,9,6,14,8,13]
[11,8,12,6,9,13,2,7,10,14,1,3,4,5,15]=>[15,5,4,3,1,14,10,7,2,13,9,6,12,8,11]
[14,10,15,5,11,12,2,6,7,13,1,3,4,8,9]=>[9,8,4,3,1,13,7,6,2,12,11,5,15,10,14]
[12,10,13,5,11,14,2,6,7,15,1,3,4,8,9]=>[9,8,4,3,1,15,7,6,2,14,11,5,13,10,12]
[14,9,15,5,10,11,2,6,7,12,1,3,4,8,13]=>[13,8,4,3,1,12,7,6,2,11,10,5,15,9,14]
[11,9,12,5,10,13,2,6,7,14,1,3,4,8,15]=>[15,8,4,3,1,14,7,6,2,13,10,5,12,9,11]
[12,7,13,5,8,14,2,6,9,15,1,3,4,10,11]=>[11,10,4,3,1,15,9,6,2,14,8,5,13,7,12]
[11,7,12,5,8,13,2,6,9,14,1,3,4,10,15]=>[15,10,4,3,1,14,9,6,2,13,8,5,12,7,11]
[13,9,14,4,10,15,2,5,11,12,1,3,6,7,8]=>[8,7,6,3,1,12,11,5,2,15,10,4,14,9,13]
[12,9,13,4,10,14,2,5,11,15,1,3,6,7,8]=>[8,7,6,3,1,15,11,5,2,14,10,4,13,9,12]
[13,8,14,4,9,15,2,5,10,11,1,3,6,7,12]=>[12,7,6,3,1,11,10,5,2,15,9,4,14,8,13]
[11,8,12,4,9,13,2,5,10,14,1,3,6,7,15]=>[15,7,6,3,1,14,10,5,2,13,9,4,12,8,11]
[12,7,13,4,8,14,2,5,9,15,1,3,6,10,11]=>[11,10,6,3,1,15,9,5,2,14,8,4,13,7,12]
[15,10,14,6,9,13,3,5,8,12,1,2,4,7,11]=>[11,7,4,2,1,12,8,5,3,13,9,6,14,10,15]
[14,11,15,9,12,13,6,7,8,10,1,2,3,4,5]=>[5,4,3,2,1,10,8,7,6,13,12,9,15,11,14]
[14,12,15,8,9,13,6,7,10,11,1,2,3,4,5]=>[5,4,3,2,1,11,10,7,6,13,9,8,15,12,14]
[14,11,15,8,12,13,6,7,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,7,6,13,12,8,15,11,14]
[14,11,15,9,12,13,5,6,7,10,1,2,3,4,8]=>[8,4,3,2,1,10,7,6,5,13,12,9,15,11,14]
[15,12,13,8,9,14,5,6,10,11,1,2,3,4,7]=>[7,4,3,2,1,11,10,6,5,14,9,8,13,12,15]
[14,12,15,8,9,13,5,6,10,11,1,2,3,4,7]=>[7,4,3,2,1,11,10,6,5,13,9,8,15,12,14]
[14,11,15,8,12,13,5,6,9,10,1,2,3,4,7]=>[7,4,3,2,1,10,9,6,5,13,12,8,15,11,14]
[14,11,15,7,12,13,5,8,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,8,5,13,12,7,15,11,14]
[15,12,13,9,10,14,4,5,6,11,1,2,3,7,8]=>[8,7,3,2,1,11,6,5,4,14,10,9,13,12,15]
[14,12,15,9,10,13,4,5,6,11,1,2,3,7,8]=>[8,7,3,2,1,11,6,5,4,13,10,9,15,12,14]
[14,11,15,9,12,13,4,5,6,10,1,2,3,7,8]=>[8,7,3,2,1,10,6,5,4,13,12,9,15,11,14]
[15,12,13,8,9,14,4,5,10,11,1,2,3,6,7]=>[7,6,3,2,1,11,10,5,4,14,9,8,13,12,15]
[14,12,15,8,9,13,4,5,10,11,1,2,3,6,7]=>[7,6,3,2,1,11,10,5,4,13,9,8,15,12,14]
[14,11,15,8,12,13,4,5,9,10,1,2,3,6,7]=>[7,6,3,2,1,10,9,5,4,13,12,8,15,11,14]
[14,11,15,7,12,13,4,8,9,10,1,2,3,5,6]=>[6,5,3,2,1,10,9,8,4,13,12,7,15,11,14]
[14,12,15,8,9,13,3,4,10,11,1,2,5,6,7]=>[7,6,5,2,1,11,10,4,3,13,9,8,15,12,14]
[14,11,15,8,12,13,3,4,9,10,1,2,5,6,7]=>[7,6,5,2,1,10,9,4,3,13,12,8,15,11,14]
[14,11,15,7,12,13,3,8,9,10,1,2,4,5,6]=>[6,5,4,2,1,10,9,8,3,13,12,7,15,11,14]
[11,12,13,14,15,7,8,9,10,4,5,6,2,3,1]=>[1,3,2,6,5,4,10,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,10,4,5,6,2,1,3]=>[3,1,2,6,5,4,10,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,10,4,5,2,3,6,1]=>[1,6,3,2,5,4,10,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,10,4,5,2,6,1,3]=>[3,1,6,2,5,4,10,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,10,4,5,2,1,3,6]=>[6,3,1,2,5,4,10,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,9,8,7,15,14,13,12,11]
[11,12,13,14,7,8,9,10,15,4,5,6,2,3,1]=>[1,3,2,6,5,4,15,10,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,10,15,4,5,6,2,1,3]=>[3,1,2,6,5,4,15,10,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,10,15,4,5,2,3,6,1]=>[1,6,3,2,5,4,15,10,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,10,15,4,5,2,6,1,3]=>[3,1,6,2,5,4,15,10,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,10,15,4,5,2,1,3,6]=>[6,3,1,2,5,4,15,10,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,15,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,10,15,2,1,3,6]=>[6,3,1,2,15,10,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,15,2,3,6,10,1]=>[1,10,6,3,2,15,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,15,2,6,10,1,3]=>[3,1,10,6,2,15,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,15,2,10,1,3,6]=>[6,3,1,10,2,15,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,15,2,1,3,6,10]=>[10,6,3,1,2,15,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,2,3,6,10,15,1]=>[1,15,10,6,3,2,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,2,6,10,15,1,3]=>[3,1,15,10,6,2,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,2,10,15,1,3,6]=>[6,3,1,15,10,2,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,2,15,1,3,6,10]=>[10,6,3,1,15,2,5,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,5,2,1,3,6,10,15]=>[15,10,6,3,1,2,5,4,9,8,7,14,13,12,11]
[5,4,9,3,8,12,2,7,11,14,1,6,10,13,15]=>[15,13,10,6,1,14,11,7,2,12,8,3,9,4,5]
[11,12,13,14,15,7,8,9,10,4,2,5,6,1,3]=>[3,1,6,5,2,4,10,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,10,4,2,5,1,3,6]=>[6,3,1,5,2,4,10,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,2,5,6,10,1,3]=>[3,1,10,6,5,2,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,9,4,2,5,1,3,6,10]=>[10,6,3,1,5,2,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,5,9,10,2,3,6,1]=>[1,6,3,2,10,9,5,4,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,5,9,10,2,1,3,6]=>[6,3,1,2,10,9,5,4,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,5,9,2,1,3,6,10]=>[10,6,3,1,2,9,5,4,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,4,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,4,8,7,15,14,13,12,11]
[11,12,13,14,15,7,4,8,9,10,2,5,6,1,3]=>[3,1,6,5,2,10,9,8,4,7,15,14,13,12,11]
[11,12,13,14,15,7,4,8,9,10,2,5,1,3,6]=>[6,3,1,5,2,10,9,8,4,7,15,14,13,12,11]
[11,12,13,14,15,7,4,8,9,2,5,6,10,1,3]=>[3,1,10,6,5,2,9,8,4,7,15,14,13,12,11]
[11,12,13,14,15,7,4,8,9,2,5,1,3,6,10]=>[10,6,3,1,5,2,9,8,4,7,15,14,13,12,11]
[11,12,13,14,15,7,4,8,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,8,4,7,15,14,13,12,11]
[11,12,13,14,15,7,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,7,15,14,13,12,11]
[11,12,13,14,7,8,9,10,15,4,2,5,6,1,3]=>[3,1,6,5,2,4,15,10,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,10,15,4,2,5,1,3,6]=>[6,3,1,5,2,4,15,10,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,2,5,6,10,15,1,3]=>[3,1,15,10,6,5,2,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,9,4,2,5,1,3,6,10,15]=>[15,10,6,3,1,5,2,4,9,8,7,14,13,12,11]
[11,12,13,14,7,8,4,5,9,10,15,2,3,6,1]=>[1,6,3,2,15,10,9,5,4,8,7,14,13,12,11]
[11,12,13,14,7,8,4,5,9,10,15,2,1,3,6]=>[6,3,1,2,15,10,9,5,4,8,7,14,13,12,11]
[11,12,13,14,7,8,4,5,9,2,3,6,10,15,1]=>[1,15,10,6,3,2,9,5,4,8,7,14,13,12,11]
[11,12,13,14,7,8,4,5,9,2,1,3,6,10,15]=>[15,10,6,3,1,2,9,5,4,8,7,14,13,12,11]
[11,12,13,14,7,8,4,2,5,9,10,15,1,3,6]=>[6,3,1,15,10,9,5,2,4,8,7,14,13,12,11]
[11,12,13,14,7,8,4,2,5,9,1,3,6,10,15]=>[15,10,6,3,1,9,5,2,4,8,7,14,13,12,11]
[11,12,13,14,7,4,8,9,10,15,2,5,6,1,3]=>[3,1,6,5,2,15,10,9,8,4,7,14,13,12,11]
[11,12,13,14,7,4,8,9,10,15,2,5,1,3,6]=>[6,3,1,5,2,15,10,9,8,4,7,14,13,12,11]
[11,12,13,14,7,4,8,9,2,5,6,10,15,1,3]=>[3,1,15,10,6,5,2,9,8,4,7,14,13,12,11]
[11,12,13,14,7,4,8,9,2,5,1,3,6,10,15]=>[15,10,6,3,1,5,2,9,8,4,7,14,13,12,11]
[11,12,13,14,7,4,8,2,5,9,10,15,1,3,6]=>[6,3,1,15,10,9,5,2,8,4,7,14,13,12,11]
[11,12,13,14,7,4,8,2,5,9,1,3,6,10,15]=>[15,10,6,3,1,9,5,2,8,4,7,14,13,12,11]
[11,12,13,7,8,9,14,15,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,15,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,15,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,15,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,15,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,15,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,15,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,15,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,15,4,2,5,6,10,1,3]=>[3,1,10,6,5,2,4,15,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,15,4,2,5,1,3,6,10]=>[10,6,3,1,5,2,4,15,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,5,2,3,6,10,15,1]=>[1,15,10,6,3,2,5,4,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,5,2,1,3,6,10,15]=>[15,10,6,3,1,2,5,4,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,2,5,6,10,15,1,3]=>[3,1,15,10,6,5,2,4,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,2,5,1,3,6,10,15]=>[15,10,6,3,1,5,2,4,14,9,8,7,13,12,11]
[11,12,13,7,8,4,5,9,14,15,2,3,6,10,1]=>[1,10,6,3,2,15,14,9,5,4,8,7,13,12,11]
[11,12,13,7,8,4,5,9,14,15,2,1,3,6,10]=>[10,6,3,1,2,15,14,9,5,4,8,7,13,12,11]
[11,12,13,7,8,4,5,9,14,2,3,6,10,15,1]=>[1,15,10,6,3,2,14,9,5,4,8,7,13,12,11]
[11,12,13,7,8,4,5,9,14,2,1,3,6,10,15]=>[15,10,6,3,1,2,14,9,5,4,8,7,13,12,11]
[11,12,13,7,8,4,2,5,9,14,15,1,3,6,10]=>[10,6,3,1,15,14,9,5,2,4,8,7,13,12,11]
[11,12,13,7,8,4,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,4,8,7,13,12,11]
[11,12,13,7,4,8,9,14,15,2,5,6,10,1,3]=>[3,1,10,6,5,2,15,14,9,8,4,7,13,12,11]
[11,12,13,7,4,8,9,14,15,2,5,1,3,6,10]=>[10,6,3,1,5,2,15,14,9,8,4,7,13,12,11]
[11,12,13,7,4,8,9,14,2,5,6,10,15,1,3]=>[3,1,15,10,6,5,2,14,9,8,4,7,13,12,11]
[11,12,13,7,4,8,9,14,2,5,1,3,6,10,15]=>[15,10,6,3,1,5,2,14,9,8,4,7,13,12,11]
[11,12,13,7,4,8,2,5,9,14,15,1,3,6,10]=>[10,6,3,1,15,14,9,5,2,8,4,7,13,12,11]
[11,12,13,7,4,8,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,8,4,7,13,12,11]
[11,12,7,8,13,14,15,4,5,9,10,2,3,6,1]=>[1,6,3,2,10,9,5,4,15,14,13,8,7,12,11]
[11,12,7,8,13,14,15,4,5,9,10,2,1,3,6]=>[6,3,1,2,10,9,5,4,15,14,13,8,7,12,11]
[11,12,7,8,13,14,15,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,15,14,13,8,7,12,11]
[11,12,7,8,13,14,15,4,5,9,2,1,3,6,10]=>[10,6,3,1,2,9,5,4,15,14,13,8,7,12,11]
[11,12,7,8,13,14,15,4,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,4,15,14,13,8,7,12,11]
[11,12,7,8,13,14,15,4,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,4,15,14,13,8,7,12,11]
[11,12,7,8,13,14,4,5,9,10,15,2,3,6,1]=>[1,6,3,2,15,10,9,5,4,14,13,8,7,12,11]
[11,12,7,8,13,14,4,5,9,10,15,2,1,3,6]=>[6,3,1,2,15,10,9,5,4,14,13,8,7,12,11]
[11,12,7,8,13,14,4,5,9,2,3,6,10,15,1]=>[1,15,10,6,3,2,9,5,4,14,13,8,7,12,11]
[11,12,7,8,13,14,4,5,9,2,1,3,6,10,15]=>[15,10,6,3,1,2,9,5,4,14,13,8,7,12,11]
[11,12,7,8,13,14,4,2,5,9,10,15,1,3,6]=>[6,3,1,15,10,9,5,2,4,14,13,8,7,12,11]
[11,12,7,8,13,14,4,2,5,9,1,3,6,10,15]=>[15,10,6,3,1,9,5,2,4,14,13,8,7,12,11]
[11,12,7,8,13,4,5,9,14,15,2,3,6,10,1]=>[1,10,6,3,2,15,14,9,5,4,13,8,7,12,11]
[11,12,7,8,13,4,5,9,14,15,2,1,3,6,10]=>[10,6,3,1,2,15,14,9,5,4,13,8,7,12,11]
[11,12,7,8,13,4,5,9,14,2,3,6,10,15,1]=>[1,15,10,6,3,2,14,9,5,4,13,8,7,12,11]
[11,12,7,8,13,4,5,9,14,2,1,3,6,10,15]=>[15,10,6,3,1,2,14,9,5,4,13,8,7,12,11]
[11,12,7,8,13,4,2,5,9,14,15,1,3,6,10]=>[10,6,3,1,15,14,9,5,2,4,13,8,7,12,11]
[11,12,7,8,13,4,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,4,13,8,7,12,11]
[11,12,7,4,8,13,14,15,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,15,14,13,8,4,7,12,11]
[11,12,7,4,8,13,14,15,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,15,14,13,8,4,7,12,11]
[11,12,7,4,8,13,14,2,5,9,10,15,1,3,6]=>[6,3,1,15,10,9,5,2,14,13,8,4,7,12,11]
[11,12,7,4,8,13,14,2,5,9,1,3,6,10,15]=>[15,10,6,3,1,9,5,2,14,13,8,4,7,12,11]
[11,12,7,4,8,13,2,5,9,14,15,1,3,6,10]=>[10,6,3,1,15,14,9,5,2,13,8,4,7,12,11]
[11,12,7,4,8,13,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,13,8,4,7,12,11]
[11,7,12,13,14,15,4,8,9,10,2,5,6,1,3]=>[3,1,6,5,2,10,9,8,4,15,14,13,12,7,11]
[11,7,12,13,14,15,4,8,9,10,2,5,1,3,6]=>[6,3,1,5,2,10,9,8,4,15,14,13,12,7,11]
[11,7,12,13,14,15,4,8,9,2,5,6,10,1,3]=>[3,1,10,6,5,2,9,8,4,15,14,13,12,7,11]
[11,7,12,13,14,15,4,8,9,2,5,1,3,6,10]=>[10,6,3,1,5,2,9,8,4,15,14,13,12,7,11]
[11,7,12,13,14,15,4,8,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,8,4,15,14,13,12,7,11]
[11,7,12,13,14,15,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,15,14,13,12,7,11]
[11,7,12,13,14,4,8,9,10,15,2,5,6,1,3]=>[3,1,6,5,2,15,10,9,8,4,14,13,12,7,11]
[11,7,12,13,14,4,8,9,10,15,2,5,1,3,6]=>[6,3,1,5,2,15,10,9,8,4,14,13,12,7,11]
[11,7,12,13,14,4,8,9,2,5,6,10,15,1,3]=>[3,1,15,10,6,5,2,9,8,4,14,13,12,7,11]
[11,7,12,13,14,4,8,9,2,5,1,3,6,10,15]=>[15,10,6,3,1,5,2,9,8,4,14,13,12,7,11]
[11,7,12,13,14,4,8,2,5,9,10,15,1,3,6]=>[6,3,1,15,10,9,5,2,8,4,14,13,12,7,11]
[11,7,12,13,14,4,8,2,5,9,1,3,6,10,15]=>[15,10,6,3,1,9,5,2,8,4,14,13,12,7,11]
[11,7,12,13,4,8,9,14,15,2,5,6,10,1,3]=>[3,1,10,6,5,2,15,14,9,8,4,13,12,7,11]
[11,7,12,13,4,8,9,14,15,2,5,1,3,6,10]=>[10,6,3,1,5,2,15,14,9,8,4,13,12,7,11]
[11,7,12,13,4,8,9,14,2,5,6,10,15,1,3]=>[3,1,15,10,6,5,2,14,9,8,4,13,12,7,11]
[11,7,12,13,4,8,9,14,2,5,1,3,6,10,15]=>[15,10,6,3,1,5,2,14,9,8,4,13,12,7,11]
[11,7,12,13,4,8,2,5,9,14,15,1,3,6,10]=>[10,6,3,1,15,14,9,5,2,8,4,13,12,7,11]
[11,7,12,13,4,8,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,8,4,13,12,7,11]
[11,7,12,4,8,13,14,15,2,5,9,10,1,3,6]=>[6,3,1,10,9,5,2,15,14,13,8,4,12,7,11]
[11,7,12,4,8,13,14,15,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,15,14,13,8,4,12,7,11]
[11,7,12,4,8,13,14,2,5,9,10,15,1,3,6]=>[6,3,1,15,10,9,5,2,14,13,8,4,12,7,11]
[11,7,12,4,8,13,14,2,5,9,1,3,6,10,15]=>[15,10,6,3,1,9,5,2,14,13,8,4,12,7,11]
[11,7,12,4,8,13,2,5,9,14,15,1,3,6,10]=>[10,6,3,1,15,14,9,5,2,13,8,4,12,7,11]
[11,12,13,14,15,7,8,9,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,9,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,8,7,15,14,13,12,11]
[11,12,13,14,15,7,8,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,8,7,15,14,13,12,11]
[11,12,13,14,7,8,9,15,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,15,9,8,7,14,13,12,11]
[11,12,13,14,7,8,15,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,15,8,7,14,13,12,11]
[11,12,13,14,7,8,15,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,15,8,7,14,13,12,11]
[11,12,13,14,7,8,15,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,15,8,7,14,13,12,11]
[11,12,13,14,7,15,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,15,7,14,13,12,11]
[11,12,13,7,8,9,14,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,14,9,8,7,13,12,11]
[11,12,13,7,8,9,14,4,10,15,2,5,1,3,6]=>[6,3,1,5,2,15,10,4,14,9,8,7,13,12,11]
[11,12,13,7,8,14,4,5,9,15,2,3,6,10,1]=>[1,10,6,3,2,15,9,5,4,14,8,7,13,12,11]
[11,12,13,7,8,14,4,5,9,15,2,6,10,1,3]=>[3,1,10,6,2,15,9,5,4,14,8,7,13,12,11]
[11,12,13,7,8,14,4,9,15,2,5,10,1,3,6]=>[6,3,1,10,5,2,15,9,4,14,8,7,13,12,11]
[11,12,13,7,14,4,8,15,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,15,8,4,14,7,13,12,11]
[11,12,7,8,13,4,5,9,14,2,6,10,15,1,3]=>[3,1,15,10,6,2,14,9,5,4,13,8,7,12,11]
[11,12,7,8,13,4,9,14,2,5,10,15,1,3,6]=>[6,3,1,15,10,5,2,14,9,4,13,8,7,12,11]
[11,12,7,13,4,8,14,2,5,9,15,1,3,6,10]=>[10,6,3,1,15,9,5,2,14,8,4,13,7,12,11]
[14,13,12,11,10,9,8,7,6,5,4,3,2,1,16,15]=>[15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14]
[2,1,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2]
[14,13,12,11,10,7,6,9,8,5,4,3,2,1,16,15]=>[15,16,1,2,3,4,5,8,9,6,7,10,11,12,13,14]
[2,1,16,15,14,13,12,9,8,11,10,7,6,5,4,3]=>[3,4,5,6,7,10,11,8,9,12,13,14,15,16,1,2]
[14,13,12,11,8,7,6,5,10,9,4,3,2,1,16,15]=>[15,16,1,2,3,4,9,10,5,6,7,8,11,12,13,14]
[14,13,12,11,6,5,10,9,8,7,4,3,2,1,16,15]=>[15,16,1,2,3,4,7,8,9,10,5,6,11,12,13,14]
[2,1,16,15,14,13,10,9,8,7,12,11,6,5,4,3]=>[3,4,5,6,11,12,7,8,9,10,13,14,15,16,1,2]
[2,1,16,15,14,13,8,7,12,11,10,9,6,5,4,3]=>[3,4,5,6,9,10,11,12,7,8,13,14,15,16,1,2]
[14,13,12,9,8,7,6,5,4,11,10,3,2,1,16,15]=>[15,16,1,2,3,10,11,4,5,6,7,8,9,12,13,14]
[14,13,12,11,6,5,8,7,10,9,4,3,2,1,16,15]=>[15,16,1,2,3,4,9,10,7,8,5,6,11,12,13,14]
[14,13,12,5,4,11,10,9,8,7,6,3,2,1,16,15]=>[15,16,1,2,3,6,7,8,9,10,11,4,5,12,13,14]
[2,1,16,15,14,11,10,9,8,7,6,13,12,5,4,3]=>[3,4,5,12,13,6,7,8,9,10,11,14,15,16,1,2]
[2,1,16,15,14,13,8,7,10,9,12,11,6,5,4,3]=>[3,4,5,6,11,12,9,10,7,8,13,14,15,16,1,2]
[2,1,16,15,14,7,6,13,12,11,10,9,8,5,4,3]=>[3,4,5,8,9,10,11,12,13,6,7,14,15,16,1,2]
[8,9,10,11,12,13,14,7,6,5,4,3,2,1,16,15]=>[15,16,1,2,3,4,5,6,7,14,13,12,11,10,9,8]
[2,1,10,11,12,13,14,15,16,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,16,15,14,13,12,11,10,1,2]
[7,9,10,11,12,13,6,14,8,5,4,3,2,1,16,15]=>[15,16,1,2,3,4,5,8,14,6,13,12,11,10,9,7]
[2,1,9,11,12,13,14,15,8,16,10,7,6,5,4,3]=>[3,4,5,6,7,10,16,8,15,14,13,12,11,9,1,2]
[7,8,10,11,12,13,6,5,14,9,4,3,2,1,16,15]=>[15,16,1,2,3,4,9,14,5,6,13,12,11,10,8,7]
[6,9,10,11,12,5,13,14,8,7,4,3,2,1,16,15]=>[15,16,1,2,3,4,7,8,14,13,5,12,11,10,9,6]
[2,1,9,10,12,13,14,15,8,7,16,11,6,5,4,3]=>[3,4,5,6,11,16,7,8,15,14,13,12,10,9,1,2]
[2,1,8,11,12,13,14,7,15,16,10,9,6,5,4,3]=>[3,4,5,6,9,10,16,15,7,14,13,12,11,8,1,2]
[7,8,9,11,12,13,6,5,4,14,10,3,2,1,16,15]=>[15,16,1,2,3,10,14,4,5,6,13,12,11,9,8,7]
[6,8,10,11,12,5,13,7,14,9,4,3,2,1,16,15]=>[15,16,1,2,3,4,9,14,7,13,5,12,11,10,8,6]
[5,9,10,11,4,12,13,14,8,7,6,3,2,1,16,15]=>[15,16,1,2,3,6,7,8,14,13,12,4,11,10,9,5]
[2,1,9,10,11,13,14,15,8,7,6,16,12,5,4,3]=>[3,4,5,12,16,6,7,8,15,14,13,11,10,9,1,2]
[2,1,8,10,12,13,14,7,15,9,16,11,6,5,4,3]=>[3,4,5,6,11,16,9,15,7,14,13,12,10,8,1,2]
[2,1,7,11,12,13,6,14,15,16,10,9,8,5,4,3]=>[3,4,5,8,9,10,16,15,14,6,13,12,11,7,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,16,15,14,13]=>[13,14,15,16,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,16,13,12,15,14,11]=>[11,14,15,12,13,16,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,16,11,10,13,12,15,14,9]=>[9,14,15,12,13,10,11,16,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,16,9,8,11,10,13,12,15,14,7]=>[7,14,15,12,13,10,11,8,9,16,5,6,3,4,1,2]
[2,1,4,3,16,7,6,9,8,11,10,13,12,15,14,5]=>[5,14,15,12,13,10,11,8,9,6,7,16,3,4,1,2]
[2,1,16,5,4,7,6,9,8,11,10,13,12,15,14,3]=>[3,14,15,12,13,10,11,8,9,6,7,4,5,16,1,2]
[16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1]=>[1,14,15,12,13,10,11,8,9,6,7,4,5,2,3,16]
[2,1,4,3,6,5,8,7,10,9,16,15,14,13,12,11]=>[11,12,13,14,15,16,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,16,13,12,11,10,15,14,9]=>[9,14,15,10,11,12,13,16,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,16,11,10,9,8,13,12,15,14,7]=>[7,14,15,12,13,8,9,10,11,16,5,6,3,4,1,2]
[2,1,4,3,16,9,8,7,6,11,10,13,12,15,14,5]=>[5,14,15,12,13,10,11,6,7,8,9,16,3,4,1,2]
[2,1,16,7,6,5,4,9,8,11,10,13,12,15,14,3]=>[3,14,15,12,13,10,11,8,9,4,5,6,7,16,1,2]
[16,5,4,3,2,7,6,9,8,11,10,13,12,15,14,1]=>[1,14,15,12,13,10,11,8,9,6,7,2,3,4,5,16]
[2,1,4,3,6,5,8,7,16,15,12,11,14,13,10,9]=>[9,10,13,14,11,12,15,16,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,16,13,10,9,12,11,8,15,14,7]=>[7,14,15,8,11,12,9,10,13,16,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,16,15,14,13,12,11,10,9]=>[9,10,11,12,13,14,15,16,7,8,5,6,3,4,1,2]
[2,1,4,3,16,11,8,7,10,9,6,13,12,15,14,5]=>[5,14,15,12,13,6,9,10,7,8,11,16,3,4,1,2]
[2,1,4,3,6,5,16,13,12,11,10,9,8,15,14,7]=>[7,14,15,8,9,10,11,12,13,16,5,6,3,4,1,2]
[2,1,16,9,6,5,8,7,4,11,10,13,12,15,14,3]=>[3,14,15,12,13,10,11,4,7,8,5,6,9,16,1,2]
[2,1,4,3,16,11,10,9,8,7,6,13,12,15,14,5]=>[5,14,15,12,13,6,7,8,9,10,11,16,3,4,1,2]
[16,7,4,3,6,5,2,9,8,11,10,13,12,15,14,1]=>[1,14,15,12,13,10,11,8,9,2,5,6,3,4,7,16]
[2,1,16,9,8,7,6,5,4,11,10,13,12,15,14,3]=>[3,14,15,12,13,10,11,4,5,6,7,8,9,16,1,2]
[16,7,6,5,4,3,2,9,8,11,10,13,12,15,14,1]=>[1,14,15,12,13,10,11,8,9,2,3,4,5,6,7,16]
[2,4,6,8,10,12,14,16,1,3,5,7,9,11,13,15]=>[15,13,11,9,7,5,3,1,16,14,12,10,8,6,4,2]
[2,4,6,8,10,12,15,16,1,3,5,7,9,11,13,14]=>[14,13,11,9,7,5,3,1,16,15,12,10,8,6,4,2]
[2,4,6,8,10,13,15,16,1,3,5,7,9,11,12,14]=>[14,12,11,9,7,5,3,1,16,15,13,10,8,6,4,2]
[2,4,6,8,11,13,15,16,1,3,5,7,9,10,12,14]=>[14,12,10,9,7,5,3,1,16,15,13,11,8,6,4,2]
[2,4,6,9,11,13,15,16,1,3,5,7,8,10,12,14]=>[14,12,10,8,7,5,3,1,16,15,13,11,9,6,4,2]
[2,4,7,9,11,13,15,16,1,3,5,6,8,10,12,14]=>[14,12,10,8,6,5,3,1,16,15,13,11,9,7,4,2]
[2,5,7,9,11,13,15,16,1,3,4,6,8,10,12,14]=>[14,12,10,8,6,4,3,1,16,15,13,11,9,7,5,2]
[3,5,7,9,11,13,15,16,1,2,4,6,8,10,12,14]=>[14,12,10,8,6,4,2,1,16,15,13,11,9,7,5,3]
[2,4,6,8,10,14,15,16,1,3,5,7,9,11,12,13]=>[13,12,11,9,7,5,3,1,16,15,14,10,8,6,4,2]
[2,4,6,8,12,13,15,16,1,3,5,7,9,10,11,14]=>[14,11,10,9,7,5,3,1,16,15,13,12,8,6,4,2]
[2,4,6,10,11,13,15,16,1,3,5,7,8,9,12,14]=>[14,12,9,8,7,5,3,1,16,15,13,11,10,6,4,2]
[2,4,8,9,11,13,15,16,1,3,5,6,7,10,12,14]=>[14,12,10,7,6,5,3,1,16,15,13,11,9,8,4,2]
[2,6,7,9,11,13,15,16,1,3,4,5,8,10,12,14]=>[14,12,10,8,5,4,3,1,16,15,13,11,9,7,6,2]
[4,5,7,9,11,13,15,16,1,2,3,6,8,10,12,14]=>[14,12,10,8,6,3,2,1,16,15,13,11,9,7,5,4]
[2,4,6,8,12,14,15,16,1,3,5,7,9,10,11,13]=>[13,11,10,9,7,5,3,1,16,15,14,12,8,6,4,2]
[2,4,6,10,12,13,15,16,1,3,5,7,8,9,11,14]=>[14,11,9,8,7,5,3,1,16,15,13,12,10,6,4,2]
[2,4,6,8,13,14,15,16,1,3,5,7,9,10,11,12]=>[12,11,10,9,7,5,3,1,16,15,14,13,8,6,4,2]
[2,4,8,10,11,13,15,16,1,3,5,6,7,9,12,14]=>[14,12,9,7,6,5,3,1,16,15,13,11,10,8,4,2]
[2,4,6,11,12,13,15,16,1,3,5,7,8,9,10,14]=>[14,10,9,8,7,5,3,1,16,15,13,12,11,6,4,2]
[2,6,8,9,11,13,15,16,1,3,4,5,7,10,12,14]=>[14,12,10,7,5,4,3,1,16,15,13,11,9,8,6,2]
[2,4,9,10,11,13,15,16,1,3,5,6,7,8,12,14]=>[14,12,8,7,6,5,3,1,16,15,13,11,10,9,4,2]
[4,6,7,9,11,13,15,16,1,2,3,5,8,10,12,14]=>[14,12,10,8,5,3,2,1,16,15,13,11,9,7,6,4]
[2,7,8,9,11,13,15,16,1,3,4,5,6,10,12,14]=>[14,12,10,6,5,4,3,1,16,15,13,11,9,8,7,2]
[5,6,7,9,11,13,15,16,1,2,3,4,8,10,12,14]=>[14,12,10,8,4,3,2,1,16,15,13,11,9,7,6,5]
[8,9,10,11,12,13,14,16,1,2,3,4,5,6,7,15]=>[15,7,6,5,4,3,2,1,16,14,13,12,11,10,9,8]
[2,10,11,12,13,14,15,16,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,16,15,14,13,12,11,10,2]
[7,9,10,11,12,13,14,16,1,2,3,4,5,6,8,15]=>[15,8,6,5,4,3,2,1,16,14,13,12,11,10,9,7]
[2,9,11,12,13,14,15,16,1,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,1,16,15,14,13,12,11,9,2]
[7,8,10,11,12,13,14,16,1,2,3,4,5,6,9,15]=>[15,9,6,5,4,3,2,1,16,14,13,12,11,10,8,7]
[6,9,10,11,12,13,14,16,1,2,3,4,5,7,8,15]=>[15,8,7,5,4,3,2,1,16,14,13,12,11,10,9,6]
[2,9,10,12,13,14,15,16,1,3,4,5,6,7,8,11]=>[11,8,7,6,5,4,3,1,16,15,14,13,12,10,9,2]
[2,8,11,12,13,14,15,16,1,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,1,16,15,14,13,12,11,8,2]
[7,8,9,11,12,13,14,16,1,2,3,4,5,6,10,15]=>[15,10,6,5,4,3,2,1,16,14,13,12,11,9,8,7]
[6,8,10,11,12,13,14,16,1,2,3,4,5,7,9,15]=>[15,9,7,5,4,3,2,1,16,14,13,12,11,10,8,6]
[5,9,10,11,12,13,14,16,1,2,3,4,6,7,8,15]=>[15,8,7,6,4,3,2,1,16,14,13,12,11,10,9,5]
[2,9,10,11,13,14,15,16,1,3,4,5,6,7,8,12]=>[12,8,7,6,5,4,3,1,16,15,14,13,11,10,9,2]
[2,8,10,12,13,14,15,16,1,3,4,5,6,7,9,11]=>[11,9,7,6,5,4,3,1,16,15,14,13,12,10,8,2]
[2,7,11,12,13,14,15,16,1,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,1,16,15,14,13,12,11,7,2]
[2,1,4,3,6,5,8,7,10,9,12,11,15,16,14,13]=>[13,14,16,15,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,13,15,12,16,14,11]=>[11,14,16,12,15,13,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,11,13,10,15,12,16,14,9]=>[9,14,16,12,15,10,13,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,11,8,13,10,15,12,16,14,7]=>[7,14,16,12,15,10,13,8,11,9,5,6,3,4,1,2]
[2,1,4,3,7,9,6,11,8,13,10,15,12,16,14,5]=>[5,14,16,12,15,10,13,8,11,6,9,7,3,4,1,2]
[2,1,5,7,4,9,6,11,8,13,10,15,12,16,14,3]=>[3,14,16,12,15,10,13,8,11,6,9,4,7,5,1,2]
[3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1]=>[1,14,16,12,15,10,13,8,11,6,9,4,7,2,5,3]
[2,1,4,3,6,5,8,7,10,9,14,15,16,13,12,11]=>[11,12,13,16,15,14,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,12,13,15,11,10,16,14,9]=>[9,14,16,10,11,15,13,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,11,13,9,8,15,12,16,14,7]=>[7,14,16,12,15,8,9,13,11,10,5,6,3,4,1,2]
[2,1,4,3,8,9,11,7,6,13,10,15,12,16,14,5]=>[5,14,16,12,15,10,13,6,7,11,9,8,3,4,1,2]
[2,1,6,7,9,5,4,11,8,13,10,15,12,16,14,3]=>[3,14,16,12,15,10,13,8,11,4,5,9,7,6,1,2]
[4,5,7,3,2,9,6,11,8,13,10,15,12,16,14,1]=>[1,14,16,12,15,10,13,8,11,6,9,2,3,7,5,4]
[2,1,4,3,6,5,8,7,12,14,15,11,16,13,10,9]=>[9,10,13,16,11,15,14,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,12,13,9,15,11,8,16,14,7]=>[7,14,16,8,11,15,9,13,12,10,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,13,14,15,16,12,11,10,9]=>[9,10,11,12,16,15,14,13,7,8,5,6,3,4,1,2]
[2,1,4,3,8,10,11,7,13,9,6,15,12,16,14,5]=>[5,14,16,12,15,6,9,13,7,11,10,8,3,4,1,2]
[2,1,4,3,6,5,11,12,13,15,10,9,8,16,14,7]=>[7,14,16,8,9,10,15,13,12,11,5,6,3,4,1,2]
[2,1,6,8,9,5,11,7,4,13,10,15,12,16,14,3]=>[3,14,16,12,15,10,13,4,7,11,5,9,8,6,1,2]
[2,1,4,3,9,10,11,13,8,7,6,15,12,16,14,5]=>[5,14,16,12,15,6,7,8,13,11,10,9,3,4,1,2]
[4,6,7,3,9,5,2,11,8,13,10,15,12,16,14,1]=>[1,14,16,12,15,10,13,8,11,2,5,9,3,7,6,4]
[2,1,7,8,9,11,6,5,4,13,10,15,12,16,14,3]=>[3,14,16,12,15,10,13,4,5,6,11,9,8,7,1,2]
[5,6,7,9,4,3,2,11,8,13,10,15,12,16,14,1]=>[1,14,16,12,15,10,13,8,11,2,3,4,9,7,6,5]
[15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15]
[14,16,13,15,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,15,13,16,14]
[14,16,12,15,11,13,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,13,11,15,12,16,14]
[14,16,12,15,10,13,9,11,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,11,9,13,10,15,12,16,14]
[14,16,12,15,10,13,8,11,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,11,8,13,10,15,12,16,14]
[14,16,12,15,10,13,8,11,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,11,8,13,10,15,12,16,14]
[14,16,12,15,10,13,8,11,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,11,8,13,10,15,12,16,14]
[14,16,12,15,10,13,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,13,10,15,12,16,14]
[13,16,12,15,11,14,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,14,11,15,12,16,13]
[14,16,11,15,10,13,9,12,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,12,9,13,10,15,11,16,14]
[14,16,12,15,9,13,8,11,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,11,8,13,9,15,12,16,14]
[14,16,12,15,10,13,7,11,6,9,5,8,3,4,1,2]=>[2,1,4,3,8,5,9,6,11,7,13,10,15,12,16,14]
[14,16,12,15,10,13,8,11,5,9,4,7,3,6,1,2]=>[2,1,6,3,7,4,9,5,11,8,13,10,15,12,16,14]
[14,16,12,15,10,13,8,11,6,9,3,7,2,5,1,4]=>[4,1,5,2,7,3,9,6,11,8,13,10,15,12,16,14]
[13,16,11,15,10,14,9,12,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,12,9,14,10,15,11,16,13]
[14,16,11,15,9,13,8,12,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,12,8,13,9,15,11,16,14]
[12,16,11,15,10,14,9,13,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,13,9,14,10,15,11,16,12]
[14,16,12,15,9,13,7,11,6,10,5,8,3,4,1,2]=>[2,1,4,3,8,5,10,6,11,7,13,9,15,12,16,14]
[14,16,10,15,9,13,8,12,7,11,5,6,3,4,1,2]=>[2,1,4,3,6,5,11,7,12,8,13,9,15,10,16,14]
[14,16,12,15,10,13,7,11,5,9,4,8,3,6,1,2]=>[2,1,6,3,8,4,9,5,11,7,13,10,15,12,16,14]
[14,16,12,15,8,13,7,11,6,10,5,9,3,4,1,2]=>[2,1,4,3,9,5,10,6,11,7,13,8,15,12,16,14]
[14,16,12,15,10,13,8,11,5,9,3,7,2,6,1,4]=>[4,1,6,2,7,3,9,5,11,8,13,10,15,12,16,14]
[14,16,12,15,10,13,6,11,5,9,4,8,3,7,1,2]=>[2,1,7,3,8,4,9,5,11,6,13,10,15,12,16,14]
[14,16,12,15,10,13,8,11,4,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,4,11,8,13,10,15,12,16,14]
[9,1,10,2,11,3,12,4,13,5,14,6,15,7,16,8]=>[8,16,7,15,6,14,5,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,4,13,5,14,6,15,16,7,8]=>[8,7,16,15,6,14,5,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,4,13,5,14,15,6,16,7,8]=>[8,7,16,6,15,14,5,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,4,13,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,12,3,11,2,10,1,9]
[9,1,10,2,11,12,3,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,3,12,11,2,10,1,9]
[9,1,10,11,2,12,3,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,3,12,2,11,10,1,9]
[9,10,1,11,2,12,3,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,3,12,2,11,1,10,9]
[9,1,10,2,11,3,12,4,13,5,14,15,16,6,7,8]=>[8,7,6,16,15,14,5,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,4,13,14,15,5,6,16,7,8]=>[8,7,16,6,5,15,14,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,13,14,4,5,15,6,16,7,8]=>[8,7,16,6,15,5,4,14,13,12,3,11,2,10,1,9]
[9,1,10,2,11,12,13,3,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,3,13,12,11,2,10,1,9]
[9,1,10,11,12,2,3,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,3,2,12,11,10,1,9]
[9,10,11,1,2,12,3,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,3,12,2,1,11,10,9]
[9,1,10,2,11,3,12,4,13,14,15,5,16,6,7,8]=>[8,7,6,16,5,15,14,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,13,14,4,15,5,6,16,7,8]=>[8,7,16,6,5,15,4,14,13,12,3,11,2,10,1,9]
[9,1,10,2,11,3,12,4,13,14,15,16,5,6,7,8]=>[8,7,6,5,16,15,14,13,4,12,3,11,2,10,1,9]
[9,1,10,2,11,12,13,3,14,4,5,15,6,16,7,8]=>[8,7,16,6,15,5,4,14,3,13,12,11,2,10,1,9]
[9,1,10,2,11,3,12,13,14,15,4,5,6,16,7,8]=>[8,7,16,6,5,4,15,14,13,12,3,11,2,10,1,9]
[9,1,10,11,12,2,13,3,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,3,13,2,12,11,10,1,9]
[9,1,10,2,11,12,13,14,3,4,5,15,6,16,7,8]=>[8,7,16,6,15,5,4,3,14,13,12,11,2,10,1,9]
[9,10,11,1,12,2,3,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,3,2,12,1,11,10,9]
[9,1,10,11,12,13,2,3,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,3,2,13,12,11,10,1,9]
[9,10,11,12,1,2,3,13,4,14,5,15,6,16,7,8]=>[8,7,16,6,15,5,14,4,13,3,2,1,12,11,10,9]
[15,16,7,14,6,13,5,12,4,11,3,10,2,9,1,8]=>[8,1,9,2,10,3,11,4,12,5,13,6,14,7,16,15]
[9,16,8,15,7,14,6,13,5,12,4,11,3,10,1,2]=>[2,1,10,3,11,4,12,5,13,6,14,7,15,8,16,9]
[15,16,8,14,6,13,5,12,4,11,3,10,2,9,1,7]=>[7,1,9,2,10,3,11,4,12,5,13,6,14,8,16,15]
[10,16,8,15,7,14,6,13,5,12,4,11,3,9,1,2]=>[2,1,9,3,11,4,12,5,13,6,14,7,15,8,16,10]
[15,16,9,14,6,13,5,12,4,11,3,10,2,8,1,7]=>[7,1,8,2,10,3,11,4,12,5,13,6,14,9,16,15]
[15,16,8,14,7,13,5,12,4,11,3,10,2,9,1,6]=>[6,1,9,2,10,3,11,4,12,5,13,7,14,8,16,15]
[11,16,8,15,7,14,6,13,5,12,4,10,3,9,1,2]=>[2,1,9,3,10,4,12,5,13,6,14,7,15,8,16,11]
[10,16,9,15,7,14,6,13,5,12,4,11,3,8,1,2]=>[2,1,8,3,11,4,12,5,13,6,14,7,15,9,16,10]
[15,16,10,14,6,13,5,12,4,11,3,9,2,8,1,7]=>[7,1,8,2,9,3,11,4,12,5,13,6,14,10,16,15]
[15,16,9,14,7,13,5,12,4,11,3,10,2,8,1,6]=>[6,1,8,2,10,3,11,4,12,5,13,7,14,9,16,15]
[15,16,8,14,7,13,6,12,4,11,3,10,2,9,1,5]=>[5,1,9,2,10,3,11,4,12,6,13,7,14,8,16,15]
[12,16,8,15,7,14,6,13,5,11,4,10,3,9,1,2]=>[2,1,9,3,10,4,11,5,13,6,14,7,15,8,16,12]
[11,16,9,15,7,14,6,13,5,12,4,10,3,8,1,2]=>[2,1,8,3,10,4,12,5,13,6,14,7,15,9,16,11]
[10,16,9,15,8,14,6,13,5,12,4,11,3,7,1,2]=>[2,1,7,3,11,4,12,5,13,6,14,8,15,9,16,10]
[9,10,11,12,13,14,15,1,2,3,4,5,6,7,16,8]=>[8,16,7,6,5,4,3,2,1,15,14,13,12,11,10,9]
[9,1,10,11,12,13,14,15,16,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,16,15,14,13,12,11,10,1,9]
[9,10,11,12,13,14,1,15,2,3,4,5,6,7,16,8]=>[8,16,7,6,5,4,3,2,15,1,14,13,12,11,10,9]
[9,1,10,11,12,13,14,15,2,16,3,4,5,6,7,8]=>[8,7,6,5,4,3,16,2,15,14,13,12,11,10,1,9]
[9,10,11,12,13,14,1,2,15,3,4,5,6,7,16,8]=>[8,16,7,6,5,4,3,15,2,1,14,13,12,11,10,9]
[9,10,11,12,13,1,14,15,2,3,4,5,6,7,16,8]=>[8,16,7,6,5,4,3,2,15,14,1,13,12,11,10,9]
[9,1,10,11,12,13,14,15,2,3,16,4,5,6,7,8]=>[8,7,6,5,4,16,3,2,15,14,13,12,11,10,1,9]
[9,1,10,11,12,13,14,2,15,16,3,4,5,6,7,8]=>[8,7,6,5,4,3,16,15,2,14,13,12,11,10,1,9]
[9,10,11,12,13,14,1,2,3,15,4,5,6,7,16,8]=>[8,16,7,6,5,4,15,3,2,1,14,13,12,11,10,9]
[9,10,11,12,13,1,14,2,15,3,4,5,6,7,16,8]=>[8,16,7,6,5,4,3,15,2,14,1,13,12,11,10,9]
[9,10,11,12,1,13,14,15,2,3,4,5,6,7,16,8]=>[8,16,7,6,5,4,3,2,15,14,13,1,12,11,10,9]
[9,1,10,11,12,13,14,15,2,3,4,16,5,6,7,8]=>[8,7,6,5,16,4,3,2,15,14,13,12,11,10,1,9]
[9,1,10,11,12,13,14,2,15,3,16,4,5,6,7,8]=>[8,7,6,5,4,16,3,15,2,14,13,12,11,10,1,9]
[9,1,10,11,12,13,2,14,15,16,3,4,5,6,7,8]=>[8,7,6,5,4,3,16,15,14,2,13,12,11,10,1,9]
[3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,7,8,5,6,1,2,4,3]
[3,5,2,6,4,1,8,7,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,7,8,1,4,6,2,5,3]
[3,5,2,7,4,8,6,1,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,1,6,8,4,7,2,5,3]
[3,5,2,7,4,9,6,10,8,1,12,11,14,13,16,15]=>[15,16,13,14,11,12,1,8,10,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,12,10,1,14,13,16,15]=>[15,16,13,14,1,10,12,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,13,10,14,12,1,16,15]=>[15,16,1,12,14,10,13,8,11,6,9,4,7,2,5,3]
[4,5,6,3,2,1,8,7,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,7,8,1,2,3,6,5,4]
[3,6,2,7,8,5,4,1,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,1,4,5,8,7,2,6,3]
[3,5,2,8,4,9,10,7,6,1,12,11,14,13,16,15]=>[15,16,13,14,11,12,1,6,7,10,9,4,8,2,5,3]
[3,5,2,7,4,10,6,11,12,9,8,1,14,13,16,15]=>[15,16,13,14,1,8,9,12,11,6,10,4,7,2,5,3]
[3,5,2,7,4,9,6,12,8,13,14,11,10,1,16,15]=>[15,16,1,10,11,14,13,8,12,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,14,10,15,16,13,12,1]=>[1,12,13,16,15,10,14,8,11,6,9,4,7,2,5,3]
[4,6,7,3,8,5,2,1,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,1,2,5,8,3,7,6,4]
[3,6,2,8,9,5,10,7,4,1,12,11,14,13,16,15]=>[15,16,13,14,11,12,1,4,7,10,5,9,8,2,6,3]
[5,6,7,8,4,3,2,1,10,9,12,11,14,13,16,15]=>[15,16,13,14,11,12,9,10,1,2,3,4,8,7,6,5]
[3,5,2,8,4,10,11,7,12,9,6,1,14,13,16,15]=>[15,16,13,14,1,6,9,12,7,11,10,4,8,2,5,3]
[3,7,2,8,9,10,6,5,4,1,12,11,14,13,16,15]=>[15,16,13,14,11,12,1,4,5,6,10,9,8,2,7,3]
[3,5,2,7,4,10,6,12,13,9,14,11,8,1,16,15]=>[15,16,1,8,11,14,9,13,12,6,10,4,7,2,5,3]
[3,5,2,9,4,10,11,12,8,7,6,1,14,13,16,15]=>[15,16,13,14,1,6,7,8,12,11,10,4,9,2,5,3]
[3,5,2,7,4,9,6,12,8,14,15,11,16,13,10,1]=>[1,10,13,16,11,15,14,8,12,6,9,4,7,2,5,3]
[3,5,2,7,4,11,6,12,13,14,10,9,8,1,16,15]=>[15,16,1,8,9,10,14,13,12,6,11,4,7,2,5,3]
[3,5,2,7,4,9,6,13,8,14,15,16,12,11,10,1]=>[1,10,11,12,16,15,14,8,13,6,9,4,7,2,5,3]
[16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
[2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,1,2]
[16,15,14,13,12,11,8,7,10,9,6,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,6,9,10,7,8,11,12,13,14,15,16]
[2,1,18,17,16,15,14,13,10,9,12,11,8,7,6,5,4,3]=>[3,4,5,6,7,8,11,12,9,10,13,14,15,16,17,18,1,2]
[16,15,14,13,12,9,8,7,6,11,10,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,10,11,6,7,8,9,12,13,14,15,16]
[16,15,14,13,12,7,6,11,10,9,8,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,8,9,10,11,6,7,12,13,14,15,16]
[2,1,18,17,16,15,14,11,10,9,8,13,12,7,6,5,4,3]=>[3,4,5,6,7,12,13,8,9,10,11,14,15,16,17,18,1,2]
[2,1,18,17,16,15,14,9,8,13,12,11,10,7,6,5,4,3]=>[3,4,5,6,7,10,11,12,13,8,9,14,15,16,17,18,1,2]
[9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,6,7,8,16,15,14,13,12,11,10,9]
[2,1,11,12,13,14,15,16,17,18,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,18,17,16,15,14,13,12,11,1,2]
[8,10,11,12,13,14,15,7,16,9,6,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,6,9,16,7,15,14,13,12,11,10,8]
[2,1,10,12,13,14,15,16,17,9,18,11,8,7,6,5,4,3]=>[3,4,5,6,7,8,11,18,9,17,16,15,14,13,12,10,1,2]
[8,9,11,12,13,14,15,7,6,16,10,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,10,16,6,7,15,14,13,12,11,9,8]
[7,10,11,12,13,14,6,15,16,9,8,5,4,3,2,1,18,17]=>[17,18,1,2,3,4,5,8,9,16,15,6,14,13,12,11,10,7]
[2,1,10,11,13,14,15,16,17,9,8,18,12,7,6,5,4,3]=>[3,4,5,6,7,12,18,8,9,17,16,15,14,13,11,10,1,2]
[2,1,9,12,13,14,15,16,8,17,18,11,10,7,6,5,4,3]=>[3,4,5,6,7,10,11,18,17,8,16,15,14,13,12,9,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,18,17,16,15]=>[15,16,17,18,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,18,15,14,17,16,13]=>[13,16,17,14,15,18,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,18,13,12,15,14,17,16,11]=>[11,16,17,14,15,12,13,18,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,18,11,10,13,12,15,14,17,16,9]=>[9,16,17,14,15,12,13,10,11,18,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,18,9,8,11,10,13,12,15,14,17,16,7]=>[7,16,17,14,15,12,13,10,11,8,9,18,5,6,3,4,1,2]
[2,1,4,3,18,7,6,9,8,11,10,13,12,15,14,17,16,5]=>[5,16,17,14,15,12,13,10,11,8,9,6,7,18,3,4,1,2]
[2,1,18,5,4,7,6,9,8,11,10,13,12,15,14,17,16,3]=>[3,16,17,14,15,12,13,10,11,8,9,6,7,4,5,18,1,2]
[18,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,1]=>[1,16,17,14,15,12,13,10,11,8,9,6,7,4,5,2,3,18]
[2,1,4,3,6,5,8,7,10,9,12,11,18,17,16,15,14,13]=>[13,14,15,16,17,18,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,18,15,14,13,12,17,16,11]=>[11,16,17,12,13,14,15,18,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,18,13,12,11,10,15,14,17,16,9]=>[9,16,17,14,15,10,11,12,13,18,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,18,11,10,9,8,13,12,15,14,17,16,7]=>[7,16,17,14,15,12,13,8,9,10,11,18,5,6,3,4,1,2]
[2,1,4,3,18,9,8,7,6,11,10,13,12,15,14,17,16,5]=>[5,16,17,14,15,12,13,10,11,6,7,8,9,18,3,4,1,2]
[2,1,18,7,6,5,4,9,8,11,10,13,12,15,14,17,16,3]=>[3,16,17,14,15,12,13,10,11,8,9,4,5,6,7,18,1,2]
[18,5,4,3,2,7,6,9,8,11,10,13,12,15,14,17,16,1]=>[1,16,17,14,15,12,13,10,11,8,9,6,7,2,3,4,5,18]
[2,4,6,8,10,12,14,16,18,1,3,5,7,9,11,13,15,17]=>[17,15,13,11,9,7,5,3,1,18,16,14,12,10,8,6,4,2]
[2,4,6,8,10,12,14,17,18,1,3,5,7,9,11,13,15,16]=>[16,15,13,11,9,7,5,3,1,18,17,14,12,10,8,6,4,2]
[2,4,6,8,10,12,15,17,18,1,3,5,7,9,11,13,14,16]=>[16,14,13,11,9,7,5,3,1,18,17,15,12,10,8,6,4,2]
[2,4,6,8,10,13,15,17,18,1,3,5,7,9,11,12,14,16]=>[16,14,12,11,9,7,5,3,1,18,17,15,13,10,8,6,4,2]
[2,4,6,8,11,13,15,17,18,1,3,5,7,9,10,12,14,16]=>[16,14,12,10,9,7,5,3,1,18,17,15,13,11,8,6,4,2]
[2,4,6,9,11,13,15,17,18,1,3,5,7,8,10,12,14,16]=>[16,14,12,10,8,7,5,3,1,18,17,15,13,11,9,6,4,2]
[2,4,7,9,11,13,15,17,18,1,3,5,6,8,10,12,14,16]=>[16,14,12,10,8,6,5,3,1,18,17,15,13,11,9,7,4,2]
[2,5,7,9,11,13,15,17,18,1,3,4,6,8,10,12,14,16]=>[16,14,12,10,8,6,4,3,1,18,17,15,13,11,9,7,5,2]
[3,5,7,9,11,13,15,17,18,1,2,4,6,8,10,12,14,16]=>[16,14,12,10,8,6,4,2,1,18,17,15,13,11,9,7,5,3]
[2,4,6,8,10,12,16,17,18,1,3,5,7,9,11,13,14,15]=>[15,14,13,11,9,7,5,3,1,18,17,16,12,10,8,6,4,2]
[2,4,6,8,10,14,15,17,18,1,3,5,7,9,11,12,13,16]=>[16,13,12,11,9,7,5,3,1,18,17,15,14,10,8,6,4,2]
[2,4,6,8,12,13,15,17,18,1,3,5,7,9,10,11,14,16]=>[16,14,11,10,9,7,5,3,1,18,17,15,13,12,8,6,4,2]
[2,4,6,10,11,13,15,17,18,1,3,5,7,8,9,12,14,16]=>[16,14,12,9,8,7,5,3,1,18,17,15,13,11,10,6,4,2]
[2,4,8,9,11,13,15,17,18,1,3,5,6,7,10,12,14,16]=>[16,14,12,10,7,6,5,3,1,18,17,15,13,11,9,8,4,2]
[2,6,7,9,11,13,15,17,18,1,3,4,5,8,10,12,14,16]=>[16,14,12,10,8,5,4,3,1,18,17,15,13,11,9,7,6,2]
[4,5,7,9,11,13,15,17,18,1,2,3,6,8,10,12,14,16]=>[16,14,12,10,8,6,3,2,1,18,17,15,13,11,9,7,5,4]
[9,10,11,12,13,14,15,16,18,1,2,3,4,5,6,7,8,17]=>[17,8,7,6,5,4,3,2,1,18,16,15,14,13,12,11,10,9]
[2,11,12,13,14,15,16,17,18,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,18,17,16,15,14,13,12,11,2]
[8,10,11,12,13,14,15,16,18,1,2,3,4,5,6,7,9,17]=>[17,9,7,6,5,4,3,2,1,18,16,15,14,13,12,11,10,8]
[2,10,12,13,14,15,16,17,18,1,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,1,18,17,16,15,14,13,12,10,2]
[8,9,11,12,13,14,15,16,18,1,2,3,4,5,6,7,10,17]=>[17,10,7,6,5,4,3,2,1,18,16,15,14,13,12,11,9,8]
[7,10,11,12,13,14,15,16,18,1,2,3,4,5,6,8,9,17]=>[17,9,8,6,5,4,3,2,1,18,16,15,14,13,12,11,10,7]
[2,10,11,13,14,15,16,17,18,1,3,4,5,6,7,8,9,12]=>[12,9,8,7,6,5,4,3,1,18,17,16,15,14,13,11,10,2]
[2,9,12,13,14,15,16,17,18,1,3,4,5,6,7,8,10,11]=>[11,10,8,7,6,5,4,3,1,18,17,16,15,14,13,12,9,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,18,16,15]=>[15,16,18,17,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,18,16,13]=>[13,16,18,14,17,15,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,18,16,11]=>[11,16,18,14,17,12,15,13,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,18,16,9]=>[9,16,18,14,17,12,15,10,13,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,18,16,7]=>[7,16,18,14,17,12,15,10,13,8,11,9,5,6,3,4,1,2]
[2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,18,16,5]=>[5,16,18,14,17,12,15,10,13,8,11,6,9,7,3,4,1,2]
[2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,18,16,3]=>[3,16,18,14,17,12,15,10,13,8,11,6,9,4,7,5,1,2]
[3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16,1]=>[1,16,18,14,17,12,15,10,13,8,11,6,9,4,7,2,5,3]
[2,1,4,3,6,5,8,7,10,9,12,11,16,17,18,15,14,13]=>[13,14,15,18,17,16,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,14,15,17,13,12,18,16,11]=>[11,16,18,12,13,17,15,14,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,12,13,15,11,10,17,14,18,16,9]=>[9,16,18,14,17,10,11,15,13,12,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,10,11,13,9,8,15,12,17,14,18,16,7]=>[7,16,18,14,17,12,15,8,9,13,11,10,5,6,3,4,1,2]
[2,1,4,3,8,9,11,7,6,13,10,15,12,17,14,18,16,5]=>[5,16,18,14,17,12,15,10,13,6,7,11,9,8,3,4,1,2]
[2,1,6,7,9,5,4,11,8,13,10,15,12,17,14,18,16,3]=>[3,16,18,14,17,12,15,10,13,8,11,4,5,9,7,6,1,2]
[4,5,7,3,2,9,6,11,8,13,10,15,12,17,14,18,16,1]=>[1,16,18,14,17,12,15,10,13,8,11,6,9,2,3,7,5,4]
[17,18,15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17]
[16,18,15,17,13,14,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,15,18,16]
[16,18,14,17,13,15,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,15,13,17,14,18,16]
[16,18,14,17,12,15,11,13,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,13,11,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,9,11,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,11,9,13,10,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,8,11,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,11,8,13,10,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,8,11,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,11,8,13,10,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,8,11,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,11,8,13,10,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16]
[15,18,14,17,13,16,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,16,13,17,14,18,15]
[16,18,13,17,12,15,11,14,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,14,11,15,12,17,13,18,16]
[16,18,14,17,11,15,10,13,9,12,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,12,9,13,10,15,11,17,14,18,16]
[16,18,14,17,12,15,9,13,8,11,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,11,8,13,9,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,7,11,6,9,5,8,3,4,1,2]=>[2,1,4,3,8,5,9,6,11,7,13,10,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,8,11,5,9,4,7,3,6,1,2]=>[2,1,6,3,7,4,9,5,11,8,13,10,15,12,17,14,18,16]
[16,18,14,17,12,15,10,13,8,11,6,9,3,7,2,5,1,4]=>[4,1,5,2,7,3,9,6,11,8,13,10,15,12,17,14,18,16]
[10,1,11,2,12,3,13,4,14,5,15,6,16,7,17,8,18,9]=>[9,18,8,17,7,16,6,15,5,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,4,14,5,15,6,16,7,17,18,8,9]=>[9,8,18,17,7,16,6,15,5,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,4,14,5,15,6,16,17,7,18,8,9]=>[9,8,18,7,17,16,6,15,5,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,4,14,5,15,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,15,5,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,4,14,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,14,4,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,4,14,13,3,12,2,11,1,10]
[10,1,11,2,12,13,3,14,4,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,4,14,3,13,12,2,11,1,10]
[10,1,11,12,2,13,3,14,4,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,4,14,3,13,2,12,11,1,10]
[10,11,1,12,2,13,3,14,4,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,4,14,3,13,2,12,1,11,10]
[10,1,11,2,12,3,13,4,14,5,15,6,16,17,18,7,8,9]=>[9,8,7,18,17,16,6,15,5,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,4,14,5,15,16,17,6,7,18,8,9]=>[9,8,18,7,6,17,16,15,5,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,4,14,15,16,5,6,17,7,18,8,9]=>[9,8,18,7,17,6,5,16,15,14,4,13,3,12,2,11,1,10]
[10,1,11,2,12,3,13,14,15,4,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,4,15,14,13,3,12,2,11,1,10]
[10,1,11,2,12,13,14,3,4,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,4,3,14,13,12,2,11,1,10]
[10,1,11,12,13,2,3,14,4,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,4,14,3,2,13,12,11,1,10]
[10,11,12,1,2,13,3,14,4,15,5,16,6,17,7,18,8,9]=>[9,8,18,7,17,6,16,5,15,4,14,3,13,2,1,12,11,10]
[17,18,8,16,7,15,6,14,5,13,4,12,3,11,2,10,1,9]=>[9,1,10,2,11,3,12,4,13,5,14,6,15,7,16,8,18,17]
[10,18,9,17,8,16,7,15,6,14,5,13,4,12,3,11,1,2]=>[2,1,11,3,12,4,13,5,14,6,15,7,16,8,17,9,18,10]
[17,18,9,16,7,15,6,14,5,13,4,12,3,11,2,10,1,8]=>[8,1,10,2,11,3,12,4,13,5,14,6,15,7,16,9,18,17]
[11,18,9,17,8,16,7,15,6,14,5,13,4,12,3,10,1,2]=>[2,1,10,3,12,4,13,5,14,6,15,7,16,8,17,9,18,11]
[17,18,10,16,7,15,6,14,5,13,4,12,3,11,2,9,1,8]=>[8,1,9,2,11,3,12,4,13,5,14,6,15,7,16,10,18,17]
[17,18,9,16,8,15,6,14,5,13,4,12,3,11,2,10,1,7]=>[7,1,10,2,11,3,12,4,13,5,14,6,15,8,16,9,18,17]
[12,18,9,17,8,16,7,15,6,14,5,13,4,11,3,10,1,2]=>[2,1,10,3,11,4,13,5,14,6,15,7,16,8,17,9,18,12]
[11,18,10,17,8,16,7,15,6,14,5,13,4,12,3,9,1,2]=>[2,1,9,3,12,4,13,5,14,6,15,7,16,8,17,10,18,11]
[10,11,12,13,14,15,16,17,1,2,3,4,5,6,7,8,18,9]=>[9,18,8,7,6,5,4,3,2,1,17,16,15,14,13,12,11,10]
[10,1,11,12,13,14,15,16,17,18,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,18,17,16,15,14,13,12,11,1,10]
[10,11,12,13,14,15,16,1,17,2,3,4,5,6,7,8,18,9]=>[9,18,8,7,6,5,4,3,2,17,1,16,15,14,13,12,11,10]
[10,1,11,12,13,14,15,16,17,2,18,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,18,2,17,16,15,14,13,12,11,1,10]
[10,11,12,13,14,15,16,1,2,17,3,4,5,6,7,8,18,9]=>[9,18,8,7,6,5,4,3,17,2,1,16,15,14,13,12,11,10]
[10,11,12,13,14,15,1,16,17,2,3,4,5,6,7,8,18,9]=>[9,18,8,7,6,5,4,3,2,17,16,1,15,14,13,12,11,10]
[10,1,11,12,13,14,15,16,17,2,3,18,4,5,6,7,8,9]=>[9,8,7,6,5,4,18,3,2,17,16,15,14,13,12,11,1,10]
[10,1,11,12,13,14,15,16,2,17,18,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,18,17,2,16,15,14,13,12,11,1,10]
[3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,9,10,7,8,5,6,1,2,4,3]
[3,5,2,6,4,1,8,7,10,9,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,9,10,7,8,1,4,6,2,5,3]
[3,5,2,7,4,8,6,1,10,9,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,9,10,1,6,8,4,7,2,5,3]
[3,5,2,7,4,9,6,10,8,1,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,1,8,10,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,12,10,1,14,13,16,15,18,17]=>[17,18,15,16,13,14,1,10,12,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,13,10,14,12,1,16,15,18,17]=>[17,18,15,16,1,12,14,10,13,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1,18,17]=>[17,18,1,14,16,12,15,10,13,8,11,6,9,4,7,2,5,3]
[4,5,6,3,2,1,8,7,10,9,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,9,10,7,8,1,2,3,6,5,4]
[3,6,2,7,8,5,4,1,10,9,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,9,10,1,4,5,8,7,2,6,3]
[3,5,2,8,4,9,10,7,6,1,12,11,14,13,16,15,18,17]=>[17,18,15,16,13,14,11,12,1,6,7,10,9,4,8,2,5,3]
[3,5,2,7,4,10,6,11,12,9,8,1,14,13,16,15,18,17]=>[17,18,15,16,13,14,1,8,9,12,11,6,10,4,7,2,5,3]
[3,5,2,7,4,9,6,12,8,13,14,11,10,1,16,15,18,17]=>[17,18,15,16,1,10,11,14,13,8,12,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,14,10,15,16,13,12,1,18,17]=>[17,18,1,12,13,16,15,10,14,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,13,10,16,12,17,18,15,14,1]=>[1,14,15,18,17,12,16,10,13,8,11,6,9,4,7,2,5,3]
[18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,20,19]=>[19,20,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18]
[2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,1,2]
[18,17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,1,20,19]=>[19,20,1,2,3,4,5,6,7,10,11,8,9,12,13,14,15,16,17,18]
[2,1,20,19,18,17,16,15,14,11,10,13,12,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,12,13,10,11,14,15,16,17,18,19,20,1,2]
[10,11,12,13,14,15,16,17,18,9,8,7,6,5,4,3,2,1,20,19]=>[19,20,1,2,3,4,5,6,7,8,9,18,17,16,15,14,13,12,11,10]
[2,1,12,13,14,15,16,17,18,19,20,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,20,19,18,17,16,15,14,13,12,1,2]
[9,11,12,13,14,15,16,17,8,18,10,7,6,5,4,3,2,1,20,19]=>[19,20,1,2,3,4,5,6,7,10,18,8,17,16,15,14,13,12,11,9]
[2,1,11,13,14,15,16,17,18,19,10,20,12,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,12,20,10,19,18,17,16,15,14,13,11,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]=>[19,20,17,18,15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,20,19,18,17]=>[17,18,19,20,15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,20,17,16,19,18,15]=>[15,18,19,16,17,20,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,20,15,14,17,16,19,18,13]=>[13,18,19,16,17,14,15,20,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,20,13,12,15,14,17,16,19,18,11]=>[11,18,19,16,17,14,15,12,13,20,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,20,11,10,13,12,15,14,17,16,19,18,9]=>[9,18,19,16,17,14,15,12,13,10,11,20,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,20,9,8,11,10,13,12,15,14,17,16,19,18,7]=>[7,18,19,16,17,14,15,12,13,10,11,8,9,20,5,6,3,4,1,2]
[2,1,4,3,20,7,6,9,8,11,10,13,12,15,14,17,16,19,18,5]=>[5,18,19,16,17,14,15,12,13,10,11,8,9,6,7,20,3,4,1,2]
[2,1,20,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,3]=>[3,18,19,16,17,14,15,12,13,10,11,8,9,6,7,4,5,20,1,2]
[20,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,1]=>[1,18,19,16,17,14,15,12,13,10,11,8,9,6,7,4,5,2,3,20]
[2,4,6,8,10,12,14,16,18,20,1,3,5,7,9,11,13,15,17,19]=>[19,17,15,13,11,9,7,5,3,1,20,18,16,14,12,10,8,6,4,2]
[2,4,6,8,10,12,14,16,19,20,1,3,5,7,9,11,13,15,17,18]=>[18,17,15,13,11,9,7,5,3,1,20,19,16,14,12,10,8,6,4,2]
[2,4,6,8,10,12,14,17,19,20,1,3,5,7,9,11,13,15,16,18]=>[18,16,15,13,11,9,7,5,3,1,20,19,17,14,12,10,8,6,4,2]
[2,4,6,8,10,12,15,17,19,20,1,3,5,7,9,11,13,14,16,18]=>[18,16,14,13,11,9,7,5,3,1,20,19,17,15,12,10,8,6,4,2]
[2,4,6,8,10,13,15,17,19,20,1,3,5,7,9,11,12,14,16,18]=>[18,16,14,12,11,9,7,5,3,1,20,19,17,15,13,10,8,6,4,2]
[2,4,6,8,11,13,15,17,19,20,1,3,5,7,9,10,12,14,16,18]=>[18,16,14,12,10,9,7,5,3,1,20,19,17,15,13,11,8,6,4,2]
[2,4,6,9,11,13,15,17,19,20,1,3,5,7,8,10,12,14,16,18]=>[18,16,14,12,10,8,7,5,3,1,20,19,17,15,13,11,9,6,4,2]
[2,4,7,9,11,13,15,17,19,20,1,3,5,6,8,10,12,14,16,18]=>[18,16,14,12,10,8,6,5,3,1,20,19,17,15,13,11,9,7,4,2]
[2,5,7,9,11,13,15,17,19,20,1,3,4,6,8,10,12,14,16,18]=>[18,16,14,12,10,8,6,4,3,1,20,19,17,15,13,11,9,7,5,2]
[3,5,7,9,11,13,15,17,19,20,1,2,4,6,8,10,12,14,16,18]=>[18,16,14,12,10,8,6,4,2,1,20,19,17,15,13,11,9,7,5,3]
[10,11,12,13,14,15,16,17,18,20,1,2,3,4,5,6,7,8,9,19]=>[19,9,8,7,6,5,4,3,2,1,20,18,17,16,15,14,13,12,11,10]
[2,12,13,14,15,16,17,18,19,20,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,20,19,18,17,16,15,14,13,12,2]
[9,11,12,13,14,15,16,17,18,20,1,2,3,4,5,6,7,8,10,19]=>[19,10,8,7,6,5,4,3,2,1,20,18,17,16,15,14,13,12,11,9]
[2,11,13,14,15,16,17,18,19,20,1,3,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,3,1,20,19,18,17,16,15,14,13,11,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,19,20,18,17]=>[17,18,20,19,15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,19,16,20,18,15]=>[15,18,20,16,19,17,13,14,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,19,16,20,18,13]=>[13,18,20,16,19,14,17,15,11,12,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,19,16,20,18,11]=>[11,18,20,16,19,14,17,12,15,13,9,10,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,19,16,20,18,9]=>[9,18,20,16,19,14,17,12,15,10,13,11,7,8,5,6,3,4,1,2]
[2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,19,16,20,18,7]=>[7,18,20,16,19,14,17,12,15,10,13,8,11,9,5,6,3,4,1,2]
[2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,19,16,20,18,5]=>[5,18,20,16,19,14,17,12,15,10,13,8,11,6,9,7,3,4,1,2]
[2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,3]=>[3,18,20,16,19,14,17,12,15,10,13,8,11,6,9,4,7,5,1,2]
[3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,1]=>[1,18,20,16,19,14,17,12,15,10,13,8,11,6,9,4,7,2,5,3]
[19,20,17,18,15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[18,20,17,19,15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,19,17,20,18]
[18,20,16,19,15,17,13,14,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,15,19,16,20,18]
[18,20,16,19,14,17,13,15,11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11,15,13,17,14,19,16,20,18]
[18,20,16,19,14,17,12,15,11,13,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,13,11,15,12,17,14,19,16,20,18]
[18,20,16,19,14,17,12,15,10,13,9,11,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,11,9,13,10,15,12,17,14,19,16,20,18]
[18,20,16,19,14,17,12,15,10,13,8,11,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,11,8,13,10,15,12,17,14,19,16,20,18]
[18,20,16,19,14,17,12,15,10,13,8,11,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,11,8,13,10,15,12,17,14,19,16,20,18]
[18,20,16,19,14,17,12,15,10,13,8,11,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18]
[18,20,16,19,14,17,12,15,10,13,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18]
[11,1,12,2,13,3,14,4,15,5,16,6,17,7,18,8,19,9,20,10]=>[10,20,9,19,8,18,7,17,6,16,5,15,4,14,3,13,2,12,1,11]
[11,1,12,2,13,3,14,4,15,5,16,6,17,7,18,8,19,20,9,10]=>[10,9,20,19,8,18,7,17,6,16,5,15,4,14,3,13,2,12,1,11]
[11,1,12,2,13,3,14,4,15,5,16,6,17,7,18,19,8,20,9,10]=>[10,9,20,8,19,18,7,17,6,16,5,15,4,14,3,13,2,12,1,11]
[11,1,12,2,13,3,14,4,15,5,16,6,17,18,7,19,8,20,9,10]=>[10,9,20,8,19,7,18,17,6,16,5,15,4,14,3,13,2,12,1,11]
[11,1,12,2,13,3,14,4,15,5,16,17,6,18,7,19,8,20,9,10]=>[10,9,20,8,19,7,18,6,17,16,5,15,4,14,3,13,2,12,1,11]
[11,1,12,2,13,3,14,4,15,16,5,17,6,18,7,19,8,20,9,10]=>[10,9,20,8,19,7,18,6,17,5,16,15,4,14,3,13,2,12,1,11]
[11,1,12,2,13,3,14,15,4,16,5,17,6,18,7,19,8,20,9,10]=>[10,9,20,8,19,7,18,6,17,5,16,4,15,14,3,13,2,12,1,11]
[11,1,12,2,13,14,3,15,4,16,5,17,6,18,7,19,8,20,9,10]=>[10,9,20,8,19,7,18,6,17,5,16,4,15,3,14,13,2,12,1,11]
[11,1,12,13,2,14,3,15,4,16,5,17,6,18,7,19,8,20,9,10]=>[10,9,20,8,19,7,18,6,17,5,16,4,15,3,14,2,13,12,1,11]
[11,12,1,13,2,14,3,15,4,16,5,17,6,18,7,19,8,20,9,10]=>[10,9,20,8,19,7,18,6,17,5,16,4,15,3,14,2,13,1,12,11]
[19,20,9,18,8,17,7,16,6,15,5,14,4,13,3,12,2,11,1,10]=>[10,1,11,2,12,3,13,4,14,5,15,6,16,7,17,8,18,9,20,19]
[11,20,10,19,9,18,8,17,7,16,6,15,5,14,4,13,3,12,1,2]=>[2,1,12,3,13,4,14,5,15,6,16,7,17,8,18,9,19,10,20,11]
[19,20,10,18,8,17,7,16,6,15,5,14,4,13,3,12,2,11,1,9]=>[9,1,11,2,12,3,13,4,14,5,15,6,16,7,17,8,18,10,20,19]
[12,20,10,19,9,18,8,17,7,16,6,15,5,14,4,13,3,11,1,2]=>[2,1,11,3,13,4,14,5,15,6,16,7,17,8,18,9,19,10,20,12]
[11,12,13,14,15,16,17,18,19,1,2,3,4,5,6,7,8,9,20,10]=>[10,20,9,8,7,6,5,4,3,2,1,19,18,17,16,15,14,13,12,11]
[11,1,12,13,14,15,16,17,18,19,20,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,20,19,18,17,16,15,14,13,12,1,11]
[11,12,13,14,15,16,17,18,1,19,2,3,4,5,6,7,8,9,20,10]=>[10,20,9,8,7,6,5,4,3,2,19,1,18,17,16,15,14,13,12,11]
[11,1,12,13,14,15,16,17,18,19,2,20,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,20,2,19,18,17,16,15,14,13,12,1,11]
[3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]=>[19,20,17,18,15,16,13,14,11,12,9,10,7,8,5,6,1,2,4,3]
[3,5,2,6,4,1,8,7,10,9,12,11,14,13,16,15,18,17,20,19]=>[19,20,17,18,15,16,13,14,11,12,9,10,7,8,1,4,6,2,5,3]
[3,5,2,7,4,8,6,1,10,9,12,11,14,13,16,15,18,17,20,19]=>[19,20,17,18,15,16,13,14,11,12,9,10,1,6,8,4,7,2,5,3]
[3,5,2,7,4,9,6,10,8,1,12,11,14,13,16,15,18,17,20,19]=>[19,20,17,18,15,16,13,14,11,12,1,8,10,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,12,10,1,14,13,16,15,18,17,20,19]=>[19,20,17,18,15,16,13,14,1,10,12,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,13,10,14,12,1,16,15,18,17,20,19]=>[19,20,17,18,15,16,1,12,14,10,13,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1,18,17,20,19]=>[19,20,17,18,1,14,16,12,15,10,13,8,11,6,9,4,7,2,5,3]
[3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16,1,20,19]=>[19,20,1,16,18,14,17,12,15,10,13,8,11,6,9,4,7,2,5,3]
[21,19,20,16,17,18,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,15,14,13,12,18,17,16,20,19,21]
[20,19,21,16,17,18,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,15,14,13,12,18,17,16,21,19,20]
[21,18,19,16,17,20,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,15,14,13,12,20,17,16,19,18,21]
[20,18,21,16,17,19,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,15,14,13,12,19,17,16,21,18,20]
[19,18,20,16,17,21,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,15,14,13,12,21,17,16,20,18,19]
[21,19,20,15,16,17,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,18,14,13,12,17,16,15,20,19,21]
[20,19,21,15,16,17,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,18,14,13,12,17,16,15,21,19,20]
[21,18,19,15,16,20,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,17,14,13,12,20,16,15,19,18,21]
[20,18,21,15,16,19,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,17,14,13,12,19,16,15,21,18,20]
[19,18,20,15,16,21,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,17,14,13,12,21,16,15,20,18,19]
[21,17,18,15,16,19,12,13,14,20,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,20,14,13,12,19,16,15,18,17,21]
[20,17,21,15,16,18,12,13,14,19,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,19,14,13,12,18,16,15,21,17,20]
[19,17,20,15,16,21,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,18,14,13,12,21,16,15,20,17,19]
[18,17,19,15,16,20,12,13,14,21,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,21,14,13,12,20,16,15,19,17,18]
[21,19,20,16,17,18,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,10,9,8,7,14,13,12,11,18,17,16,20,19,21]
[20,19,21,16,17,18,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,10,9,8,7,14,13,12,11,18,17,16,21,19,20]
[21,18,19,16,17,20,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,10,9,8,7,14,13,12,11,20,17,16,19,18,21]
[20,18,21,16,17,19,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,10,9,8,7,14,13,12,11,19,17,16,21,18,20]
[19,18,20,16,17,21,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,10,9,8,7,14,13,12,11,21,17,16,20,18,19]
[21,19,20,15,16,17,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,18,13,12,11,17,16,15,20,19,21]
[20,19,21,15,16,17,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,18,13,12,11,17,16,15,21,19,20]
[21,18,19,15,16,20,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,17,13,12,11,20,16,15,19,18,21]
[20,18,21,15,16,19,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,17,13,12,11,19,16,15,21,18,20]
[19,18,20,15,16,21,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,17,13,12,11,21,16,15,20,18,19]
[21,17,18,15,16,19,11,12,13,20,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,20,13,12,11,19,16,15,18,17,21]
[20,17,21,15,16,18,11,12,13,19,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,19,13,12,11,18,16,15,21,17,20]
[19,17,20,15,16,21,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,18,13,12,11,21,16,15,20,17,19]
[18,17,19,15,16,20,11,12,13,21,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,21,13,12,11,20,16,15,19,17,18]
[21,19,20,14,15,16,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[6,5,4,3,2,1,18,10,9,8,7,17,13,12,11,16,15,14,20,19,21]
[20,19,21,14,15,16,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[6,5,4,3,2,1,18,10,9,8,7,17,13,12,11,16,15,14,21,19,20]
[21,18,19,14,15,20,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[6,5,4,3,2,1,17,10,9,8,7,16,13,12,11,20,15,14,19,18,21]
[20,18,21,14,15,19,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[6,5,4,3,2,1,17,10,9,8,7,16,13,12,11,19,15,14,21,18,20]
[19,18,20,14,15,21,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[6,5,4,3,2,1,17,10,9,8,7,16,13,12,11,21,15,14,20,18,19]
[21,17,18,14,15,19,11,12,13,20,7,8,9,10,16,1,2,3,4,5,6]=>[6,5,4,3,2,1,16,10,9,8,7,20,13,12,11,19,15,14,18,17,21]
[20,17,21,14,15,18,11,12,13,19,7,8,9,10,16,1,2,3,4,5,6]=>[6,5,4,3,2,1,16,10,9,8,7,19,13,12,11,18,15,14,21,17,20]
[19,17,20,14,15,21,11,12,13,18,7,8,9,10,16,1,2,3,4,5,6]=>[6,5,4,3,2,1,16,10,9,8,7,18,13,12,11,21,15,14,20,17,19]
[18,17,19,14,15,20,11,12,13,21,7,8,9,10,16,1,2,3,4,5,6]=>[6,5,4,3,2,1,16,10,9,8,7,21,13,12,11,20,15,14,19,17,18]
[21,16,17,14,15,18,11,12,13,19,7,8,9,10,20,1,2,3,4,5,6]=>[6,5,4,3,2,1,20,10,9,8,7,19,13,12,11,18,15,14,17,16,21]
[20,16,21,14,15,17,11,12,13,18,7,8,9,10,19,1,2,3,4,5,6]=>[6,5,4,3,2,1,19,10,9,8,7,18,13,12,11,17,15,14,21,16,20]
[19,16,20,14,15,21,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[6,5,4,3,2,1,18,10,9,8,7,17,13,12,11,21,15,14,20,16,19]
[18,16,19,14,15,20,11,12,13,21,7,8,9,10,17,1,2,3,4,5,6]=>[6,5,4,3,2,1,17,10,9,8,7,21,13,12,11,20,15,14,19,16,18]
[17,16,18,14,15,19,11,12,13,20,7,8,9,10,21,1,2,3,4,5,6]=>[6,5,4,3,2,1,21,10,9,8,7,20,13,12,11,19,15,14,18,16,17]
[21,19,20,16,17,18,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,15,14,13,12,18,17,16,20,19,21]
[20,19,21,16,17,18,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,15,14,13,12,18,17,16,21,19,20]
[21,18,19,16,17,20,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,15,14,13,12,20,17,16,19,18,21]
[20,18,21,16,17,19,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,15,14,13,12,19,17,16,21,18,20]
[19,18,20,16,17,21,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,15,14,13,12,21,17,16,20,18,19]
[21,19,20,15,16,17,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,18,14,13,12,17,16,15,20,19,21]
[20,19,21,15,16,17,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,18,14,13,12,17,16,15,21,19,20]
[21,18,19,15,16,20,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,17,14,13,12,20,16,15,19,18,21]
[20,18,21,15,16,19,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,17,14,13,12,19,16,15,21,18,20]
[19,18,20,15,16,21,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,17,14,13,12,21,16,15,20,18,19]
[21,17,18,15,16,19,12,13,14,20,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,20,14,13,12,19,16,15,18,17,21]
[20,17,21,15,16,18,12,13,14,19,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,19,14,13,12,18,16,15,21,17,20]
[19,17,20,15,16,21,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,18,14,13,12,21,16,15,20,17,19]
[18,17,19,15,16,20,12,13,14,21,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,21,14,13,12,20,16,15,19,17,18]
[21,19,20,16,17,18,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[10,5,4,3,2,1,15,9,8,7,6,14,13,12,11,18,17,16,20,19,21]
[20,19,21,16,17,18,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[10,5,4,3,2,1,15,9,8,7,6,14,13,12,11,18,17,16,21,19,20]
[21,18,19,16,17,20,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[10,5,4,3,2,1,15,9,8,7,6,14,13,12,11,20,17,16,19,18,21]
[20,18,21,16,17,19,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[10,5,4,3,2,1,15,9,8,7,6,14,13,12,11,19,17,16,21,18,20]
[19,18,20,16,17,21,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[10,5,4,3,2,1,15,9,8,7,6,14,13,12,11,21,17,16,20,18,19]
[21,19,20,15,16,17,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,18,13,12,11,17,16,15,20,19,21]
[20,19,21,15,16,17,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,18,13,12,11,17,16,15,21,19,20]
[21,18,19,15,16,20,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,17,13,12,11,20,16,15,19,18,21]
[20,18,21,15,16,19,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,17,13,12,11,19,16,15,21,18,20]
[19,18,20,15,16,21,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,17,13,12,11,21,16,15,20,18,19]
[21,17,18,15,16,19,11,12,13,20,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,20,13,12,11,19,16,15,18,17,21]
[20,17,21,15,16,18,11,12,13,19,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,19,13,12,11,18,16,15,21,17,20]
[19,17,20,15,16,21,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,18,13,12,11,21,16,15,20,17,19]
[18,17,19,15,16,20,11,12,13,21,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,21,13,12,11,20,16,15,19,17,18]
[21,19,20,14,15,16,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[10,5,4,3,2,1,18,9,8,7,6,17,13,12,11,16,15,14,20,19,21]
[20,19,21,14,15,16,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[10,5,4,3,2,1,18,9,8,7,6,17,13,12,11,16,15,14,21,19,20]
[21,18,19,14,15,20,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[10,5,4,3,2,1,17,9,8,7,6,16,13,12,11,20,15,14,19,18,21]
[20,18,21,14,15,19,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[10,5,4,3,2,1,17,9,8,7,6,16,13,12,11,19,15,14,21,18,20]
[19,18,20,14,15,21,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[10,5,4,3,2,1,17,9,8,7,6,16,13,12,11,21,15,14,20,18,19]
[21,17,18,14,15,19,11,12,13,20,6,7,8,9,16,1,2,3,4,5,10]=>[10,5,4,3,2,1,16,9,8,7,6,20,13,12,11,19,15,14,18,17,21]
[20,17,21,14,15,18,11,12,13,19,6,7,8,9,16,1,2,3,4,5,10]=>[10,5,4,3,2,1,16,9,8,7,6,19,13,12,11,18,15,14,21,17,20]
[19,17,20,14,15,21,11,12,13,18,6,7,8,9,16,1,2,3,4,5,10]=>[10,5,4,3,2,1,16,9,8,7,6,18,13,12,11,21,15,14,20,17,19]
[18,17,19,14,15,20,11,12,13,21,6,7,8,9,16,1,2,3,4,5,10]=>[10,5,4,3,2,1,16,9,8,7,6,21,13,12,11,20,15,14,19,17,18]
[21,16,17,14,15,18,11,12,13,19,6,7,8,9,20,1,2,3,4,5,10]=>[10,5,4,3,2,1,20,9,8,7,6,19,13,12,11,18,15,14,17,16,21]
[20,16,21,14,15,17,11,12,13,18,6,7,8,9,19,1,2,3,4,5,10]=>[10,5,4,3,2,1,19,9,8,7,6,18,13,12,11,17,15,14,21,16,20]
[19,16,20,14,15,21,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[10,5,4,3,2,1,18,9,8,7,6,17,13,12,11,21,15,14,20,16,19]
[18,16,19,14,15,20,11,12,13,21,6,7,8,9,17,1,2,3,4,5,10]=>[10,5,4,3,2,1,17,9,8,7,6,21,13,12,11,20,15,14,19,16,18]
[17,16,18,14,15,19,11,12,13,20,6,7,8,9,21,1,2,3,4,5,10]=>[10,5,4,3,2,1,21,9,8,7,6,20,13,12,11,19,15,14,18,16,17]
[21,19,20,16,17,18,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[15,5,4,3,2,1,14,9,8,7,6,13,12,11,10,18,17,16,20,19,21]
[20,19,21,16,17,18,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[15,5,4,3,2,1,14,9,8,7,6,13,12,11,10,18,17,16,21,19,20]
[21,18,19,16,17,20,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[15,5,4,3,2,1,14,9,8,7,6,13,12,11,10,20,17,16,19,18,21]
[20,18,21,16,17,19,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[15,5,4,3,2,1,14,9,8,7,6,13,12,11,10,19,17,16,21,18,20]
[19,18,20,16,17,21,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[15,5,4,3,2,1,14,9,8,7,6,13,12,11,10,21,17,16,20,18,19]
[21,19,20,15,16,17,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,18,12,11,10,17,16,15,20,19,21]
[20,19,21,15,16,17,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,18,12,11,10,17,16,15,21,19,20]
[21,18,19,15,16,20,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,17,12,11,10,20,16,15,19,18,21]
[20,18,21,15,16,19,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,17,12,11,10,19,16,15,21,18,20]
[19,18,20,15,16,21,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,17,12,11,10,21,16,15,20,18,19]
[21,17,18,15,16,19,10,11,12,20,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,20,12,11,10,19,16,15,18,17,21]
[20,17,21,15,16,18,10,11,12,19,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,19,12,11,10,18,16,15,21,17,20]
[19,17,20,15,16,21,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,18,12,11,10,21,16,15,20,17,19]
[18,17,19,15,16,20,10,11,12,21,6,7,8,9,13,1,2,3,4,5,14]=>[14,5,4,3,2,1,13,9,8,7,6,21,12,11,10,20,16,15,19,17,18]
[21,19,20,14,15,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[13,5,4,3,2,1,18,9,8,7,6,17,12,11,10,16,15,14,20,19,21]
[20,19,21,14,15,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[13,5,4,3,2,1,18,9,8,7,6,17,12,11,10,16,15,14,21,19,20]
[21,18,19,14,15,20,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[13,5,4,3,2,1,17,9,8,7,6,16,12,11,10,20,15,14,19,18,21]
[20,18,21,14,15,19,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[13,5,4,3,2,1,17,9,8,7,6,16,12,11,10,19,15,14,21,18,20]
[19,18,20,14,15,21,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[13,5,4,3,2,1,17,9,8,7,6,16,12,11,10,21,15,14,20,18,19]
[21,17,18,14,15,19,10,11,12,20,6,7,8,9,16,1,2,3,4,5,13]=>[13,5,4,3,2,1,16,9,8,7,6,20,12,11,10,19,15,14,18,17,21]
[20,17,21,14,15,18,10,11,12,19,6,7,8,9,16,1,2,3,4,5,13]=>[13,5,4,3,2,1,16,9,8,7,6,19,12,11,10,18,15,14,21,17,20]
[19,17,20,14,15,21,10,11,12,18,6,7,8,9,16,1,2,3,4,5,13]=>[13,5,4,3,2,1,16,9,8,7,6,18,12,11,10,21,15,14,20,17,19]
[18,17,19,14,15,20,10,11,12,21,6,7,8,9,16,1,2,3,4,5,13]=>[13,5,4,3,2,1,16,9,8,7,6,21,12,11,10,20,15,14,19,17,18]
[21,16,17,14,15,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,13]=>[13,5,4,3,2,1,20,9,8,7,6,19,12,11,10,18,15,14,17,16,21]
[20,16,21,14,15,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,13]=>[13,5,4,3,2,1,19,9,8,7,6,18,12,11,10,17,15,14,21,16,20]
[19,16,20,14,15,21,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[13,5,4,3,2,1,18,9,8,7,6,17,12,11,10,21,15,14,20,16,19]
[18,16,19,14,15,20,10,11,12,21,6,7,8,9,17,1,2,3,4,5,13]=>[13,5,4,3,2,1,17,9,8,7,6,21,12,11,10,20,15,14,19,16,18]
[17,16,18,14,15,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,13]=>[13,5,4,3,2,1,21,9,8,7,6,20,12,11,10,19,15,14,18,16,17]
[21,19,20,13,14,15,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[18,5,4,3,2,1,17,9,8,7,6,16,12,11,10,15,14,13,20,19,21]
[20,19,21,13,14,15,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[18,5,4,3,2,1,17,9,8,7,6,16,12,11,10,15,14,13,21,19,20]
[21,18,19,13,14,20,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[17,5,4,3,2,1,16,9,8,7,6,15,12,11,10,20,14,13,19,18,21]
[20,18,21,13,14,19,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[17,5,4,3,2,1,16,9,8,7,6,15,12,11,10,19,14,13,21,18,20]
[19,18,20,13,14,21,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[17,5,4,3,2,1,16,9,8,7,6,15,12,11,10,21,14,13,20,18,19]
[21,17,18,13,14,19,10,11,12,20,6,7,8,9,15,1,2,3,4,5,16]=>[16,5,4,3,2,1,15,9,8,7,6,20,12,11,10,19,14,13,18,17,21]
[20,17,21,13,14,18,10,11,12,19,6,7,8,9,15,1,2,3,4,5,16]=>[16,5,4,3,2,1,15,9,8,7,6,19,12,11,10,18,14,13,21,17,20]
[19,17,20,13,14,21,10,11,12,18,6,7,8,9,15,1,2,3,4,5,16]=>[16,5,4,3,2,1,15,9,8,7,6,18,12,11,10,21,14,13,20,17,19]
[18,17,19,13,14,20,10,11,12,21,6,7,8,9,15,1,2,3,4,5,16]=>[16,5,4,3,2,1,15,9,8,7,6,21,12,11,10,20,14,13,19,17,18]
[21,16,17,13,14,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,15]=>[15,5,4,3,2,1,20,9,8,7,6,19,12,11,10,18,14,13,17,16,21]
[20,16,21,13,14,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,15]=>[15,5,4,3,2,1,19,9,8,7,6,18,12,11,10,17,14,13,21,16,20]
[19,16,20,13,14,21,10,11,12,17,6,7,8,9,18,1,2,3,4,5,15]=>[15,5,4,3,2,1,18,9,8,7,6,17,12,11,10,21,14,13,20,16,19]
[18,16,19,13,14,20,10,11,12,21,6,7,8,9,17,1,2,3,4,5,15]=>[15,5,4,3,2,1,17,9,8,7,6,21,12,11,10,20,14,13,19,16,18]
[17,16,18,13,14,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,15]=>[15,5,4,3,2,1,21,9,8,7,6,20,12,11,10,19,14,13,18,16,17]
[21,15,16,13,14,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,20]=>[20,5,4,3,2,1,19,9,8,7,6,18,12,11,10,17,14,13,16,15,21]
[20,15,21,13,14,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,19]=>[19,5,4,3,2,1,18,9,8,7,6,17,12,11,10,16,14,13,21,15,20]
[19,15,20,13,14,21,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[18,5,4,3,2,1,17,9,8,7,6,16,12,11,10,21,14,13,20,15,19]
[18,15,19,13,14,20,10,11,12,21,6,7,8,9,16,1,2,3,4,5,17]=>[17,5,4,3,2,1,16,9,8,7,6,21,12,11,10,20,14,13,19,15,18]
[17,15,18,13,14,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,16]=>[16,5,4,3,2,1,21,9,8,7,6,20,12,11,10,19,14,13,18,15,17]
[16,15,17,13,14,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,21]=>[21,5,4,3,2,1,20,9,8,7,6,19,12,11,10,18,14,13,17,15,16]
[19,17,20,16,18,21,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,15,14,13,12,21,18,16,20,17,19]
[19,17,20,15,18,21,12,13,14,16,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,16,14,13,12,21,18,15,20,17,19]
[21,17,18,14,15,19,12,13,16,20,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,20,16,13,12,19,15,14,18,17,21]
[20,17,21,14,15,18,12,13,16,19,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,19,16,13,12,18,15,14,21,17,20]
[19,16,20,14,17,21,12,13,15,18,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,18,15,13,12,21,17,14,20,16,19]
[18,15,19,13,16,20,12,14,17,21,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,21,17,14,12,20,16,13,19,15,18]
[19,17,20,16,18,21,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,10,9,8,7,14,13,12,11,21,18,16,20,17,19]
[19,17,20,15,18,21,11,12,13,16,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,16,13,12,11,21,18,15,20,17,19]
[21,17,18,14,15,19,11,12,16,20,7,8,9,10,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,10,9,8,7,20,16,12,11,19,15,14,18,17,21]
[20,17,21,14,15,18,11,12,16,19,7,8,9,10,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,10,9,8,7,19,16,12,11,18,15,14,21,17,20]
[19,16,20,14,17,21,11,12,15,18,7,8,9,10,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,10,9,8,7,18,15,12,11,21,17,14,20,16,19]
[18,15,19,13,16,20,11,14,17,21,7,8,9,10,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,10,9,8,7,21,17,14,11,20,16,13,19,15,18]
[21,19,20,14,15,16,10,11,12,17,7,8,9,13,18,1,2,3,4,5,6]=>[6,5,4,3,2,1,18,13,9,8,7,17,12,11,10,16,15,14,20,19,21]
[20,19,21,14,15,16,10,11,12,17,7,8,9,13,18,1,2,3,4,5,6]=>[6,5,4,3,2,1,18,13,9,8,7,17,12,11,10,16,15,14,21,19,20]
[21,18,19,14,15,20,10,11,12,16,7,8,9,13,17,1,2,3,4,5,6]=>[6,5,4,3,2,1,17,13,9,8,7,16,12,11,10,20,15,14,19,18,21]
[20,18,21,14,15,19,10,11,12,16,7,8,9,13,17,1,2,3,4,5,6]=>[6,5,4,3,2,1,17,13,9,8,7,16,12,11,10,19,15,14,21,18,20]
[19,17,20,14,18,21,10,11,12,15,7,8,9,13,16,1,2,3,4,5,6]=>[6,5,4,3,2,1,16,13,9,8,7,15,12,11,10,21,18,14,20,17,19]
[21,17,18,13,14,19,10,11,15,20,7,8,9,12,16,1,2,3,4,5,6]=>[6,5,4,3,2,1,16,12,9,8,7,20,15,11,10,19,14,13,18,17,21]
[20,17,21,13,14,18,10,11,15,19,7,8,9,12,16,1,2,3,4,5,6]=>[6,5,4,3,2,1,16,12,9,8,7,19,15,11,10,18,14,13,21,17,20]
[19,16,20,13,17,21,10,11,14,18,7,8,9,12,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,12,9,8,7,18,14,11,10,21,17,13,20,16,19]
[18,15,19,12,16,20,10,13,17,21,7,8,9,11,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,11,9,8,7,21,17,13,10,20,16,12,19,15,18]
[21,16,17,12,13,18,9,10,14,19,7,8,11,15,20,1,2,3,4,5,6]=>[6,5,4,3,2,1,20,15,11,8,7,19,14,10,9,18,13,12,17,16,21]
[20,16,21,12,13,17,9,10,14,18,7,8,11,15,19,1,2,3,4,5,6]=>[6,5,4,3,2,1,19,15,11,8,7,18,14,10,9,17,13,12,21,16,20]
[19,15,20,12,16,21,9,10,13,17,7,8,11,14,18,1,2,3,4,5,6]=>[6,5,4,3,2,1,18,14,11,8,7,17,13,10,9,21,16,12,20,15,19]
[18,14,19,11,15,20,9,12,16,21,7,8,10,13,17,1,2,3,4,5,6]=>[6,5,4,3,2,1,17,13,10,8,7,21,16,12,9,20,15,11,19,14,18]
[17,13,18,10,14,19,8,11,15,20,7,9,12,16,21,1,2,3,4,5,6]=>[6,5,4,3,2,1,21,16,12,9,7,20,15,11,8,19,14,10,18,13,17]
[19,17,20,16,18,21,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,15,14,13,12,21,18,16,20,17,19]
[19,17,20,15,18,21,12,13,14,16,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,16,14,13,12,21,18,15,20,17,19]
[21,17,18,14,15,19,12,13,16,20,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,20,16,13,12,19,15,14,18,17,21]
[20,17,21,14,15,18,12,13,16,19,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,19,16,13,12,18,15,14,21,17,20]
[19,16,20,14,17,21,12,13,15,18,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,18,15,13,12,21,17,14,20,16,19]
[18,15,19,13,16,20,12,14,17,21,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,21,17,14,12,20,16,13,19,15,18]
[19,17,20,16,18,21,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[10,5,4,3,2,1,15,9,8,7,6,14,13,12,11,21,18,16,20,17,19]
[19,17,20,15,18,21,11,12,13,16,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,16,13,12,11,21,18,15,20,17,19]
[21,17,18,14,15,19,11,12,16,20,6,7,8,9,13,1,2,3,4,5,10]=>[10,5,4,3,2,1,13,9,8,7,6,20,16,12,11,19,15,14,18,17,21]
[20,17,21,14,15,18,11,12,16,19,6,7,8,9,13,1,2,3,4,5,10]=>[10,5,4,3,2,1,13,9,8,7,6,19,16,12,11,18,15,14,21,17,20]
[19,16,20,14,17,21,11,12,15,18,6,7,8,9,13,1,2,3,4,5,10]=>[10,5,4,3,2,1,13,9,8,7,6,18,15,12,11,21,17,14,20,16,19]
[18,15,19,13,16,20,11,14,17,21,6,7,8,9,12,1,2,3,4,5,10]=>[10,5,4,3,2,1,12,9,8,7,6,21,17,14,11,20,16,13,19,15,18]
[21,19,20,14,15,16,10,11,12,17,6,7,8,13,18,1,2,3,4,5,9]=>[9,5,4,3,2,1,18,13,8,7,6,17,12,11,10,16,15,14,20,19,21]
[20,19,21,14,15,16,10,11,12,17,6,7,8,13,18,1,2,3,4,5,9]=>[9,5,4,3,2,1,18,13,8,7,6,17,12,11,10,16,15,14,21,19,20]
[21,18,19,14,15,20,10,11,12,16,6,7,8,13,17,1,2,3,4,5,9]=>[9,5,4,3,2,1,17,13,8,7,6,16,12,11,10,20,15,14,19,18,21]
[20,18,21,14,15,19,10,11,12,16,6,7,8,13,17,1,2,3,4,5,9]=>[9,5,4,3,2,1,17,13,8,7,6,16,12,11,10,19,15,14,21,18,20]
[19,17,20,14,18,21,10,11,12,15,6,7,8,13,16,1,2,3,4,5,9]=>[9,5,4,3,2,1,16,13,8,7,6,15,12,11,10,21,18,14,20,17,19]
[21,17,18,13,14,19,10,11,15,20,6,7,8,12,16,1,2,3,4,5,9]=>[9,5,4,3,2,1,16,12,8,7,6,20,15,11,10,19,14,13,18,17,21]
[20,17,21,13,14,18,10,11,15,19,6,7,8,12,16,1,2,3,4,5,9]=>[9,5,4,3,2,1,16,12,8,7,6,19,15,11,10,18,14,13,21,17,20]
[19,16,20,13,17,21,10,11,14,18,6,7,8,12,15,1,2,3,4,5,9]=>[9,5,4,3,2,1,15,12,8,7,6,18,14,11,10,21,17,13,20,16,19]
[18,15,19,12,16,20,10,13,17,21,6,7,8,11,14,1,2,3,4,5,9]=>[9,5,4,3,2,1,14,11,8,7,6,21,17,13,10,20,16,12,19,15,18]
[21,16,17,12,13,18,9,10,14,19,6,7,11,15,20,1,2,3,4,5,8]=>[8,5,4,3,2,1,20,15,11,7,6,19,14,10,9,18,13,12,17,16,21]
[20,16,21,12,13,17,9,10,14,18,6,7,11,15,19,1,2,3,4,5,8]=>[8,5,4,3,2,1,19,15,11,7,6,18,14,10,9,17,13,12,21,16,20]
[19,15,20,12,16,21,9,10,13,17,6,7,11,14,18,1,2,3,4,5,8]=>[8,5,4,3,2,1,18,14,11,7,6,17,13,10,9,21,16,12,20,15,19]
[18,14,19,11,15,20,9,12,16,21,6,7,10,13,17,1,2,3,4,5,8]=>[8,5,4,3,2,1,17,13,10,7,6,21,16,12,9,20,15,11,19,14,18]
[17,13,18,10,14,19,8,11,15,20,6,9,12,16,21,1,2,3,4,5,7]=>[7,5,4,3,2,1,21,16,12,9,6,20,15,11,8,19,14,10,18,13,17]
[21,19,20,16,17,18,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[15,9,4,3,2,1,14,8,7,6,5,13,12,11,10,18,17,16,20,19,21]
[20,19,21,16,17,18,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[15,9,4,3,2,1,14,8,7,6,5,13,12,11,10,18,17,16,21,19,20]
[21,18,19,16,17,20,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[15,9,4,3,2,1,14,8,7,6,5,13,12,11,10,20,17,16,19,18,21]
[20,18,21,16,17,19,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[15,9,4,3,2,1,14,8,7,6,5,13,12,11,10,19,17,16,21,18,20]
[19,17,20,16,18,21,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[15,9,4,3,2,1,14,8,7,6,5,13,12,11,10,21,18,16,20,17,19]
[21,19,20,15,16,17,10,11,12,18,5,6,7,8,13,1,2,3,4,9,14]=>[14,9,4,3,2,1,13,8,7,6,5,18,12,11,10,17,16,15,20,19,21]
[20,19,21,15,16,17,10,11,12,18,5,6,7,8,13,1,2,3,4,9,14]=>[14,9,4,3,2,1,13,8,7,6,5,18,12,11,10,17,16,15,21,19,20]
[21,18,19,15,16,20,10,11,12,17,5,6,7,8,13,1,2,3,4,9,14]=>[14,9,4,3,2,1,13,8,7,6,5,17,12,11,10,20,16,15,19,18,21]
[20,18,21,15,16,19,10,11,12,17,5,6,7,8,13,1,2,3,4,9,14]=>[14,9,4,3,2,1,13,8,7,6,5,17,12,11,10,19,16,15,21,18,20]
[19,17,20,15,18,21,10,11,12,16,5,6,7,8,13,1,2,3,4,9,14]=>[14,9,4,3,2,1,13,8,7,6,5,16,12,11,10,21,18,15,20,17,19]
[21,17,18,14,15,19,10,11,16,20,5,6,7,8,12,1,2,3,4,9,13]=>[13,9,4,3,2,1,12,8,7,6,5,20,16,11,10,19,15,14,18,17,21]
[20,17,21,14,15,18,10,11,16,19,5,6,7,8,12,1,2,3,4,9,13]=>[13,9,4,3,2,1,12,8,7,6,5,19,16,11,10,18,15,14,21,17,20]
[19,16,20,14,17,21,10,11,15,18,5,6,7,8,12,1,2,3,4,9,13]=>[13,9,4,3,2,1,12,8,7,6,5,18,15,11,10,21,17,14,20,16,19]
[18,15,19,13,16,20,10,14,17,21,5,6,7,8,11,1,2,3,4,9,12]=>[12,9,4,3,2,1,11,8,7,6,5,21,17,14,10,20,16,13,19,15,18]
[21,19,20,14,15,16,9,10,11,17,5,6,7,12,18,1,2,3,4,8,13]=>[13,8,4,3,2,1,18,12,7,6,5,17,11,10,9,16,15,14,20,19,21]
[20,19,21,14,15,16,9,10,11,17,5,6,7,12,18,1,2,3,4,8,13]=>[13,8,4,3,2,1,18,12,7,6,5,17,11,10,9,16,15,14,21,19,20]
[21,18,19,14,15,20,9,10,11,16,5,6,7,12,17,1,2,3,4,8,13]=>[13,8,4,3,2,1,17,12,7,6,5,16,11,10,9,20,15,14,19,18,21]
[20,18,21,14,15,19,9,10,11,16,5,6,7,12,17,1,2,3,4,8,13]=>[13,8,4,3,2,1,17,12,7,6,5,16,11,10,9,19,15,14,21,18,20]
[19,17,20,14,18,21,9,10,11,15,5,6,7,12,16,1,2,3,4,8,13]=>[13,8,4,3,2,1,16,12,7,6,5,15,11,10,9,21,18,14,20,17,19]
[21,17,18,13,14,19,9,10,15,20,5,6,7,11,16,1,2,3,4,8,12]=>[12,8,4,3,2,1,16,11,7,6,5,20,15,10,9,19,14,13,18,17,21]
[20,17,21,13,14,18,9,10,15,19,5,6,7,11,16,1,2,3,4,8,12]=>[12,8,4,3,2,1,16,11,7,6,5,19,15,10,9,18,14,13,21,17,20]
[19,16,20,13,17,21,9,10,14,18,5,6,7,11,15,1,2,3,4,8,12]=>[12,8,4,3,2,1,15,11,7,6,5,18,14,10,9,21,17,13,20,16,19]
[18,15,19,12,16,20,9,13,17,21,5,6,7,10,14,1,2,3,4,8,11]=>[11,8,4,3,2,1,14,10,7,6,5,21,17,13,9,20,16,12,19,15,18]
[21,16,17,12,13,18,8,9,14,19,5,6,10,15,20,1,2,3,4,7,11]=>[11,7,4,3,2,1,20,15,10,6,5,19,14,9,8,18,13,12,17,16,21]
[20,16,21,12,13,17,8,9,14,18,5,6,10,15,19,1,2,3,4,7,11]=>[11,7,4,3,2,1,19,15,10,6,5,18,14,9,8,17,13,12,21,16,20]
[19,15,20,12,16,21,8,9,13,17,5,6,10,14,18,1,2,3,4,7,11]=>[11,7,4,3,2,1,18,14,10,6,5,17,13,9,8,21,16,12,20,15,19]
[18,14,19,11,15,20,8,12,16,21,5,6,9,13,17,1,2,3,4,7,10]=>[10,7,4,3,2,1,17,13,9,6,5,21,16,12,8,20,15,11,19,14,18]
[17,13,18,10,14,19,7,11,15,20,5,8,12,16,21,1,2,3,4,6,9]=>[9,6,4,3,2,1,21,16,12,8,5,20,15,11,7,19,14,10,18,13,17]
[21,19,20,13,14,15,8,9,10,16,4,5,6,11,17,1,2,3,7,12,18]=>[18,12,7,3,2,1,17,11,6,5,4,16,10,9,8,15,14,13,20,19,21]
[20,19,21,13,14,15,8,9,10,16,4,5,6,11,17,1,2,3,7,12,18]=>[18,12,7,3,2,1,17,11,6,5,4,16,10,9,8,15,14,13,21,19,20]
[21,18,19,13,14,20,8,9,10,15,4,5,6,11,16,1,2,3,7,12,17]=>[17,12,7,3,2,1,16,11,6,5,4,15,10,9,8,20,14,13,19,18,21]
[20,18,21,13,14,19,8,9,10,15,4,5,6,11,16,1,2,3,7,12,17]=>[17,12,7,3,2,1,16,11,6,5,4,15,10,9,8,19,14,13,21,18,20]
[19,17,20,13,18,21,8,9,10,14,4,5,6,11,15,1,2,3,7,12,16]=>[16,12,7,3,2,1,15,11,6,5,4,14,10,9,8,21,18,13,20,17,19]
[21,17,18,12,13,19,8,9,14,20,4,5,6,10,15,1,2,3,7,11,16]=>[16,11,7,3,2,1,15,10,6,5,4,20,14,9,8,19,13,12,18,17,21]
[20,17,21,12,13,18,8,9,14,19,4,5,6,10,15,1,2,3,7,11,16]=>[16,11,7,3,2,1,15,10,6,5,4,19,14,9,8,18,13,12,21,17,20]
[19,16,20,12,17,21,8,9,13,18,4,5,6,10,14,1,2,3,7,11,15]=>[15,11,7,3,2,1,14,10,6,5,4,18,13,9,8,21,17,12,20,16,19]
[18,15,19,11,16,20,8,12,17,21,4,5,6,9,13,1,2,3,7,10,14]=>[14,10,7,3,2,1,13,9,6,5,4,21,17,12,8,20,16,11,19,15,18]
[21,16,17,11,12,18,7,8,13,19,4,5,9,14,20,1,2,3,6,10,15]=>[15,10,6,3,2,1,20,14,9,5,4,19,13,8,7,18,12,11,17,16,21]
[20,16,21,11,12,17,7,8,13,18,4,5,9,14,19,1,2,3,6,10,15]=>[15,10,6,3,2,1,19,14,9,5,4,18,13,8,7,17,12,11,21,16,20]
[19,15,20,11,16,21,7,8,12,17,4,5,9,13,18,1,2,3,6,10,14]=>[14,10,6,3,2,1,18,13,9,5,4,17,12,8,7,21,16,11,20,15,19]
[18,14,19,10,15,20,7,11,16,21,4,5,8,12,17,1,2,3,6,9,13]=>[13,9,6,3,2,1,17,12,8,5,4,21,16,11,7,20,15,10,19,14,18]
[17,13,18,9,14,19,6,10,15,20,4,7,11,16,21,1,2,3,5,8,12]=>[12,8,5,3,2,1,21,16,11,7,4,20,15,10,6,19,14,9,18,13,17]
[21,15,16,10,11,17,6,7,12,18,3,4,8,13,19,1,2,5,9,14,20]=>[20,14,9,5,2,1,19,13,8,4,3,18,12,7,6,17,11,10,16,15,21]
[20,15,21,10,11,16,6,7,12,17,3,4,8,13,18,1,2,5,9,14,19]=>[19,14,9,5,2,1,18,13,8,4,3,17,12,7,6,16,11,10,21,15,20]
[19,14,20,10,15,21,6,7,11,16,3,4,8,12,17,1,2,5,9,13,18]=>[18,13,9,5,2,1,17,12,8,4,3,16,11,7,6,21,15,10,20,14,19]
[18,13,19,9,14,20,6,10,15,21,3,4,7,11,16,1,2,5,8,12,17]=>[17,12,8,5,2,1,16,11,7,4,3,21,15,10,6,20,14,9,19,13,18]
[17,12,18,8,13,19,5,9,14,20,3,6,10,15,21,1,2,4,7,11,16]=>[16,11,7,4,2,1,21,15,10,6,3,20,14,9,5,19,13,8,18,12,17]
[16,11,17,7,12,18,4,8,13,19,2,5,9,14,20,1,3,6,10,15,21]=>[21,15,10,6,3,1,20,14,9,5,2,19,13,8,4,18,12,7,17,11,16]
[20,17,21,16,18,19,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,15,14,13,12,19,18,16,21,17,20]
[20,17,21,15,18,19,12,13,14,16,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,16,14,13,12,19,18,15,21,17,20]
[21,18,19,14,15,20,12,13,16,17,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,17,16,13,12,20,15,14,19,18,21]
[20,18,21,14,15,19,12,13,16,17,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,17,16,13,12,19,15,14,21,18,20]
[20,17,21,14,18,19,12,13,15,16,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,16,15,13,12,19,18,14,21,17,20]
[20,17,21,13,18,19,12,14,15,16,7,8,9,10,11,1,2,3,4,5,6]=>[6,5,4,3,2,1,11,10,9,8,7,16,15,14,12,19,18,13,21,17,20]
[20,17,21,16,18,19,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[6,5,4,3,2,1,15,10,9,8,7,14,13,12,11,19,18,16,21,17,20]
[20,17,21,15,18,19,11,12,13,16,7,8,9,10,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,10,9,8,7,16,13,12,11,19,18,15,21,17,20]
[21,18,19,14,15,20,11,12,16,17,7,8,9,10,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,10,9,8,7,17,16,12,11,20,15,14,19,18,21]
[20,18,21,14,15,19,11,12,16,17,7,8,9,10,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,10,9,8,7,17,16,12,11,19,15,14,21,18,20]
[20,17,21,14,18,19,11,12,15,16,7,8,9,10,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,10,9,8,7,16,15,12,11,19,18,14,21,17,20]
[20,17,21,13,18,19,11,14,15,16,7,8,9,10,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,10,9,8,7,16,15,14,11,19,18,13,21,17,20]
[21,19,20,15,16,17,10,11,12,18,7,8,9,13,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,13,9,8,7,18,12,11,10,17,16,15,20,19,21]
[20,19,21,15,16,17,10,11,12,18,7,8,9,13,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,13,9,8,7,18,12,11,10,17,16,15,21,19,20]
[21,18,19,15,16,20,10,11,12,17,7,8,9,13,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,13,9,8,7,17,12,11,10,20,16,15,19,18,21]
[20,18,21,15,16,19,10,11,12,17,7,8,9,13,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,13,9,8,7,17,12,11,10,19,16,15,21,18,20]
[20,17,21,15,18,19,10,11,12,16,7,8,9,13,14,1,2,3,4,5,6]=>[6,5,4,3,2,1,14,13,9,8,7,16,12,11,10,19,18,15,21,17,20]
[21,18,19,14,15,20,10,11,16,17,7,8,9,12,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,12,9,8,7,17,16,11,10,20,15,14,19,18,21]
[20,18,21,14,15,19,10,11,16,17,7,8,9,12,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,12,9,8,7,17,16,11,10,19,15,14,21,18,20]
[20,17,21,14,18,19,10,11,15,16,7,8,9,12,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,12,9,8,7,16,15,11,10,19,18,14,21,17,20]
[20,17,21,13,18,19,10,14,15,16,7,8,9,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,9,8,7,16,15,14,10,19,18,13,21,17,20]
[21,18,19,14,15,20,9,10,16,17,7,8,11,12,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,12,11,8,7,17,16,10,9,20,15,14,19,18,21]
[20,18,21,14,15,19,9,10,16,17,7,8,11,12,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,12,11,8,7,17,16,10,9,19,15,14,21,18,20]
[20,17,21,14,18,19,9,10,15,16,7,8,11,12,13,1,2,3,4,5,6]=>[6,5,4,3,2,1,13,12,11,8,7,16,15,10,9,19,18,14,21,17,20]
[20,17,21,13,18,19,9,14,15,16,7,8,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,8,7,16,15,14,9,19,18,13,21,17,20]
[20,17,21,13,18,19,8,14,15,16,7,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,7,16,15,14,8,19,18,13,21,17,20]
[20,17,21,16,18,19,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,15,14,13,12,19,18,16,21,17,20]
[20,17,21,15,18,19,12,13,14,16,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,16,14,13,12,19,18,15,21,17,20]
[21,18,19,14,15,20,12,13,16,17,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,17,16,13,12,20,15,14,19,18,21]
[20,18,21,14,15,19,12,13,16,17,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,17,16,13,12,19,15,14,21,18,20]
[20,17,21,14,18,19,12,13,15,16,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,16,15,13,12,19,18,14,21,17,20]
[20,17,21,13,18,19,12,14,15,16,6,7,8,9,10,1,2,3,4,5,11]=>[11,5,4,3,2,1,10,9,8,7,6,16,15,14,12,19,18,13,21,17,20]
[20,17,21,16,18,19,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[10,5,4,3,2,1,15,9,8,7,6,14,13,12,11,19,18,16,21,17,20]
[20,17,21,15,18,19,11,12,13,16,6,7,8,9,14,1,2,3,4,5,10]=>[10,5,4,3,2,1,14,9,8,7,6,16,13,12,11,19,18,15,21,17,20]
[21,18,19,14,15,20,11,12,16,17,6,7,8,9,13,1,2,3,4,5,10]=>[10,5,4,3,2,1,13,9,8,7,6,17,16,12,11,20,15,14,19,18,21]
[20,18,21,14,15,19,11,12,16,17,6,7,8,9,13,1,2,3,4,5,10]=>[10,5,4,3,2,1,13,9,8,7,6,17,16,12,11,19,15,14,21,18,20]
[20,17,21,14,18,19,11,12,15,16,6,7,8,9,13,1,2,3,4,5,10]=>[10,5,4,3,2,1,13,9,8,7,6,16,15,12,11,19,18,14,21,17,20]
[20,17,21,13,18,19,11,14,15,16,6,7,8,9,12,1,2,3,4,5,10]=>[10,5,4,3,2,1,12,9,8,7,6,16,15,14,11,19,18,13,21,17,20]
[21,19,20,15,16,17,10,11,12,18,6,7,8,13,14,1,2,3,4,5,9]=>[9,5,4,3,2,1,14,13,8,7,6,18,12,11,10,17,16,15,20,19,21]
[20,19,21,15,16,17,10,11,12,18,6,7,8,13,14,1,2,3,4,5,9]=>[9,5,4,3,2,1,14,13,8,7,6,18,12,11,10,17,16,15,21,19,20]
[21,18,19,15,16,20,10,11,12,17,6,7,8,13,14,1,2,3,4,5,9]=>[9,5,4,3,2,1,14,13,8,7,6,17,12,11,10,20,16,15,19,18,21]
[20,18,21,15,16,19,10,11,12,17,6,7,8,13,14,1,2,3,4,5,9]=>[9,5,4,3,2,1,14,13,8,7,6,17,12,11,10,19,16,15,21,18,20]
[20,17,21,15,18,19,10,11,12,16,6,7,8,13,14,1,2,3,4,5,9]=>[9,5,4,3,2,1,14,13,8,7,6,16,12,11,10,19,18,15,21,17,20]
[21,18,19,14,15,20,10,11,16,17,6,7,8,12,13,1,2,3,4,5,9]=>[9,5,4,3,2,1,13,12,8,7,6,17,16,11,10,20,15,14,19,18,21]
[20,18,21,14,15,19,10,11,16,17,6,7,8,12,13,1,2,3,4,5,9]=>[9,5,4,3,2,1,13,12,8,7,6,17,16,11,10,19,15,14,21,18,20]
[20,17,21,14,18,19,10,11,15,16,6,7,8,12,13,1,2,3,4,5,9]=>[9,5,4,3,2,1,13,12,8,7,6,16,15,11,10,19,18,14,21,17,20]
[20,17,21,13,18,19,10,14,15,16,6,7,8,11,12,1,2,3,4,5,9]=>[9,5,4,3,2,1,12,11,8,7,6,16,15,14,10,19,18,13,21,17,20]
[21,18,19,14,15,20,9,10,16,17,6,7,11,12,13,1,2,3,4,5,8]=>[8,5,4,3,2,1,13,12,11,7,6,17,16,10,9,20,15,14,19,18,21]
[20,18,21,14,15,19,9,10,16,17,6,7,11,12,13,1,2,3,4,5,8]=>[8,5,4,3,2,1,13,12,11,7,6,17,16,10,9,19,15,14,21,18,20]
[20,17,21,14,18,19,9,10,15,16,6,7,11,12,13,1,2,3,4,5,8]=>[8,5,4,3,2,1,13,12,11,7,6,16,15,10,9,19,18,14,21,17,20]
[20,17,21,13,18,19,9,14,15,16,6,7,10,11,12,1,2,3,4,5,8]=>[8,5,4,3,2,1,12,11,10,7,6,16,15,14,9,19,18,13,21,17,20]
[20,17,21,13,18,19,8,14,15,16,6,9,10,11,12,1,2,3,4,5,7]=>[7,5,4,3,2,1,12,11,10,9,6,16,15,14,8,19,18,13,21,17,20]
[21,19,20,16,17,18,11,12,13,14,5,6,7,8,15,1,2,3,4,9,10]=>[10,9,4,3,2,1,15,8,7,6,5,14,13,12,11,18,17,16,20,19,21]
[20,19,21,16,17,18,11,12,13,14,5,6,7,8,15,1,2,3,4,9,10]=>[10,9,4,3,2,1,15,8,7,6,5,14,13,12,11,18,17,16,21,19,20]
[21,18,19,16,17,20,11,12,13,14,5,6,7,8,15,1,2,3,4,9,10]=>[10,9,4,3,2,1,15,8,7,6,5,14,13,12,11,20,17,16,19,18,21]
[20,18,21,16,17,19,11,12,13,14,5,6,7,8,15,1,2,3,4,9,10]=>[10,9,4,3,2,1,15,8,7,6,5,14,13,12,11,19,17,16,21,18,20]
[20,17,21,16,18,19,11,12,13,14,5,6,7,8,15,1,2,3,4,9,10]=>[10,9,4,3,2,1,15,8,7,6,5,14,13,12,11,19,18,16,21,17,20]
[21,19,20,15,16,17,11,12,13,18,5,6,7,8,14,1,2,3,4,9,10]=>[10,9,4,3,2,1,14,8,7,6,5,18,13,12,11,17,16,15,20,19,21]
[20,19,21,15,16,17,11,12,13,18,5,6,7,8,14,1,2,3,4,9,10]=>[10,9,4,3,2,1,14,8,7,6,5,18,13,12,11,17,16,15,21,19,20]
[21,18,19,15,16,20,11,12,13,17,5,6,7,8,14,1,2,3,4,9,10]=>[10,9,4,3,2,1,14,8,7,6,5,17,13,12,11,20,16,15,19,18,21]
[20,18,21,15,16,19,11,12,13,17,5,6,7,8,14,1,2,3,4,9,10]=>[10,9,4,3,2,1,14,8,7,6,5,17,13,12,11,19,16,15,21,18,20]
[20,17,21,15,18,19,11,12,13,16,5,6,7,8,14,1,2,3,4,9,10]=>[10,9,4,3,2,1,14,8,7,6,5,16,13,12,11,19,18,15,21,17,20]
[21,18,19,14,15,20,11,12,16,17,5,6,7,8,13,1,2,3,4,9,10]=>[10,9,4,3,2,1,13,8,7,6,5,17,16,12,11,20,15,14,19,18,21]
[20,18,21,14,15,19,11,12,16,17,5,6,7,8,13,1,2,3,4,9,10]=>[10,9,4,3,2,1,13,8,7,6,5,17,16,12,11,19,15,14,21,18,20]
[20,17,21,14,18,19,11,12,15,16,5,6,7,8,13,1,2,3,4,9,10]=>[10,9,4,3,2,1,13,8,7,6,5,16,15,12,11,19,18,14,21,17,20]
[20,17,21,13,18,19,11,14,15,16,5,6,7,8,12,1,2,3,4,9,10]=>[10,9,4,3,2,1,12,8,7,6,5,16,15,14,11,19,18,13,21,17,20]
[21,19,20,15,16,17,10,11,12,18,5,6,7,13,14,1,2,3,4,8,9]=>[9,8,4,3,2,1,14,13,7,6,5,18,12,11,10,17,16,15,20,19,21]
[20,19,21,15,16,17,10,11,12,18,5,6,7,13,14,1,2,3,4,8,9]=>[9,8,4,3,2,1,14,13,7,6,5,18,12,11,10,17,16,15,21,19,20]
[21,18,19,15,16,20,10,11,12,17,5,6,7,13,14,1,2,3,4,8,9]=>[9,8,4,3,2,1,14,13,7,6,5,17,12,11,10,20,16,15,19,18,21]
[20,18,21,15,16,19,10,11,12,17,5,6,7,13,14,1,2,3,4,8,9]=>[9,8,4,3,2,1,14,13,7,6,5,17,12,11,10,19,16,15,21,18,20]
[20,17,21,15,18,19,10,11,12,16,5,6,7,13,14,1,2,3,4,8,9]=>[9,8,4,3,2,1,14,13,7,6,5,16,12,11,10,19,18,15,21,17,20]
[21,18,19,14,15,20,10,11,16,17,5,6,7,12,13,1,2,3,4,8,9]=>[9,8,4,3,2,1,13,12,7,6,5,17,16,11,10,20,15,14,19,18,21]
[20,18,21,14,15,19,10,11,16,17,5,6,7,12,13,1,2,3,4,8,9]=>[9,8,4,3,2,1,13,12,7,6,5,17,16,11,10,19,15,14,21,18,20]
[20,17,21,14,18,19,10,11,15,16,5,6,7,12,13,1,2,3,4,8,9]=>[9,8,4,3,2,1,13,12,7,6,5,16,15,11,10,19,18,14,21,17,20]
[20,17,21,13,18,19,10,14,15,16,5,6,7,11,12,1,2,3,4,8,9]=>[9,8,4,3,2,1,12,11,7,6,5,16,15,14,10,19,18,13,21,17,20]
[21,18,19,14,15,20,9,10,16,17,5,6,11,12,13,1,2,3,4,7,8]=>[8,7,4,3,2,1,13,12,11,6,5,17,16,10,9,20,15,14,19,18,21]
[20,18,21,14,15,19,9,10,16,17,5,6,11,12,13,1,2,3,4,7,8]=>[8,7,4,3,2,1,13,12,11,6,5,17,16,10,9,19,15,14,21,18,20]
[20,17,21,14,18,19,9,10,15,16,5,6,11,12,13,1,2,3,4,7,8]=>[8,7,4,3,2,1,13,12,11,6,5,16,15,10,9,19,18,14,21,17,20]
[20,17,21,13,18,19,9,14,15,16,5,6,10,11,12,1,2,3,4,7,8]=>[8,7,4,3,2,1,12,11,10,6,5,16,15,14,9,19,18,13,21,17,20]
[20,17,21,13,18,19,8,14,15,16,5,9,10,11,12,1,2,3,4,6,7]=>[7,6,4,3,2,1,12,11,10,9,5,16,15,14,8,19,18,13,21,17,20]
[21,19,20,15,16,17,10,11,12,18,4,5,6,13,14,1,2,3,7,8,9]=>[9,8,7,3,2,1,14,13,6,5,4,18,12,11,10,17,16,15,20,19,21]
[20,19,21,15,16,17,10,11,12,18,4,5,6,13,14,1,2,3,7,8,9]=>[9,8,7,3,2,1,14,13,6,5,4,18,12,11,10,17,16,15,21,19,20]
[21,18,19,15,16,20,10,11,12,17,4,5,6,13,14,1,2,3,7,8,9]=>[9,8,7,3,2,1,14,13,6,5,4,17,12,11,10,20,16,15,19,18,21]
[20,18,21,15,16,19,10,11,12,17,4,5,6,13,14,1,2,3,7,8,9]=>[9,8,7,3,2,1,14,13,6,5,4,17,12,11,10,19,16,15,21,18,20]
[20,17,21,15,18,19,10,11,12,16,4,5,6,13,14,1,2,3,7,8,9]=>[9,8,7,3,2,1,14,13,6,5,4,16,12,11,10,19,18,15,21,17,20]
[21,18,19,14,15,20,10,11,16,17,4,5,6,12,13,1,2,3,7,8,9]=>[9,8,7,3,2,1,13,12,6,5,4,17,16,11,10,20,15,14,19,18,21]
[20,18,21,14,15,19,10,11,16,17,4,5,6,12,13,1,2,3,7,8,9]=>[9,8,7,3,2,1,13,12,6,5,4,17,16,11,10,19,15,14,21,18,20]
[20,17,21,14,18,19,10,11,15,16,4,5,6,12,13,1,2,3,7,8,9]=>[9,8,7,3,2,1,13,12,6,5,4,16,15,11,10,19,18,14,21,17,20]
[20,17,21,13,18,19,10,14,15,16,4,5,6,11,12,1,2,3,7,8,9]=>[9,8,7,3,2,1,12,11,6,5,4,16,15,14,10,19,18,13,21,17,20]
[21,18,19,14,15,20,9,10,16,17,4,5,11,12,13,1,2,3,6,7,8]=>[8,7,6,3,2,1,13,12,11,5,4,17,16,10,9,20,15,14,19,18,21]
[20,18,21,14,15,19,9,10,16,17,4,5,11,12,13,1,2,3,6,7,8]=>[8,7,6,3,2,1,13,12,11,5,4,17,16,10,9,19,15,14,21,18,20]
[20,17,21,14,18,19,9,10,15,16,4,5,11,12,13,1,2,3,6,7,8]=>[8,7,6,3,2,1,13,12,11,5,4,16,15,10,9,19,18,14,21,17,20]
[20,17,21,13,18,19,9,14,15,16,4,5,10,11,12,1,2,3,6,7,8]=>[8,7,6,3,2,1,12,11,10,5,4,16,15,14,9,19,18,13,21,17,20]
[20,17,21,13,18,19,8,14,15,16,4,9,10,11,12,1,2,3,5,6,7]=>[7,6,5,3,2,1,12,11,10,9,4,16,15,14,8,19,18,13,21,17,20]
[21,18,19,14,15,20,9,10,16,17,3,4,11,12,13,1,2,5,6,7,8]=>[8,7,6,5,2,1,13,12,11,4,3,17,16,10,9,20,15,14,19,18,21]
[20,18,21,14,15,19,9,10,16,17,3,4,11,12,13,1,2,5,6,7,8]=>[8,7,6,5,2,1,13,12,11,4,3,17,16,10,9,19,15,14,21,18,20]
[20,17,21,14,18,19,9,10,15,16,3,4,11,12,13,1,2,5,6,7,8]=>[8,7,6,5,2,1,13,12,11,4,3,16,15,10,9,19,18,14,21,17,20]
[20,17,21,13,18,19,9,14,15,16,3,4,10,11,12,1,2,5,6,7,8]=>[8,7,6,5,2,1,12,11,10,4,3,16,15,14,9,19,18,13,21,17,20]
[20,17,21,13,18,19,8,14,15,16,3,9,10,11,12,1,2,4,5,6,7]=>[7,6,5,4,2,1,12,11,10,9,3,16,15,14,8,19,18,13,21,17,20]
[20,17,21,13,18,19,8,14,15,16,2,9,10,11,12,1,3,4,5,6,7]=>[7,6,5,4,3,1,12,11,10,9,2,16,15,14,8,19,18,13,21,17,20]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,10,4,5,6,2,3,1]=>[1,3,2,6,5,4,10,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,10,4,5,6,2,1,3]=>[3,1,2,6,5,4,10,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,10,4,5,2,3,6,1]=>[1,6,3,2,5,4,10,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,10,4,5,2,6,1,3]=>[3,1,6,2,5,4,10,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,10,4,5,2,1,3,6]=>[6,3,1,2,5,4,10,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,10,15,4,5,6,2,3,1]=>[1,3,2,6,5,4,15,10,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,10,15,4,5,6,2,1,3]=>[3,1,2,6,5,4,15,10,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,10,15,4,5,2,3,6,1]=>[1,6,3,2,5,4,15,10,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,10,15,4,5,2,6,1,3]=>[3,1,6,2,5,4,15,10,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,10,15,4,5,2,1,3,6]=>[6,3,1,2,5,4,15,10,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,10,15,2,1,3,6]=>[6,3,1,2,15,10,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,15,2,3,6,10,1]=>[1,10,6,3,2,15,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,15,2,6,10,1,3]=>[3,1,10,6,2,15,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,15,2,10,1,3,6]=>[6,3,1,10,2,15,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,15,2,1,3,6,10]=>[10,6,3,1,2,15,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,2,3,6,10,15,1]=>[1,15,10,6,3,2,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,2,6,10,15,1,3]=>[3,1,15,10,6,2,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,2,10,15,1,3,6]=>[6,3,1,15,10,2,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,2,15,1,3,6,10]=>[10,6,3,1,15,2,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,4,5,2,1,3,6,10,15]=>[15,10,6,3,1,2,5,4,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,10,4,5,6,2,3,1]=>[1,3,2,6,5,4,10,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,10,4,5,6,2,1,3]=>[3,1,2,6,5,4,10,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,10,4,5,2,3,6,1]=>[1,6,3,2,5,4,10,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,10,4,5,2,6,1,3]=>[3,1,6,2,5,4,10,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,10,4,5,2,1,3,6]=>[6,3,1,2,5,4,10,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,10,15,4,5,6,2,3,1]=>[1,3,2,6,5,4,15,10,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,10,15,4,5,6,2,1,3]=>[3,1,2,6,5,4,15,10,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,10,15,4,5,2,3,6,1]=>[1,6,3,2,5,4,15,10,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,10,15,4,5,2,6,1,3]=>[3,1,6,2,5,4,15,10,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,10,15,4,5,2,1,3,6]=>[6,3,1,2,5,4,15,10,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,10,15,2,1,3,6]=>[6,3,1,2,15,10,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,15,2,3,6,10,1]=>[1,10,6,3,2,15,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,15,2,6,10,1,3]=>[3,1,10,6,2,15,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,15,2,10,1,3,6]=>[6,3,1,10,2,15,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,15,2,1,3,6,10]=>[10,6,3,1,2,15,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,2,3,6,10,15,1]=>[1,15,10,6,3,2,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,2,6,10,15,1,3]=>[3,1,15,10,6,2,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,2,10,15,1,3,6]=>[6,3,1,15,10,2,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,2,15,1,3,6,10]=>[10,6,3,1,15,2,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,4,5,2,1,3,6,10,15]=>[15,10,6,3,1,2,5,4,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,10,15,21,4,5,6,2,3,1]=>[1,3,2,6,5,4,21,15,10,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,10,15,21,4,5,6,2,1,3]=>[3,1,2,6,5,4,21,15,10,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,10,15,21,4,5,2,3,6,1]=>[1,6,3,2,5,4,21,15,10,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,10,15,21,4,5,2,6,1,3]=>[3,1,6,2,5,4,21,15,10,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,10,15,21,4,5,2,1,3,6]=>[6,3,1,2,5,4,21,15,10,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,10,2,1,3,6]=>[6,3,1,2,10,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,2,3,6,10,1]=>[1,10,6,3,2,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,2,6,10,1,3]=>[3,1,10,6,2,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,2,10,1,3,6]=>[6,3,1,10,2,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,15,21,4,5,2,1,3,6,10]=>[10,6,3,1,2,5,4,21,15,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,10,15,2,1,3,6]=>[6,3,1,2,15,10,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,15,2,3,6,10,1]=>[1,10,6,3,2,15,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,15,2,6,10,1,3]=>[3,1,10,6,2,15,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,15,2,10,1,3,6]=>[6,3,1,10,2,15,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,15,2,1,3,6,10]=>[10,6,3,1,2,15,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,2,3,6,10,15,1]=>[1,15,10,6,3,2,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,2,6,10,15,1,3]=>[3,1,15,10,6,2,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,2,10,15,1,3,6]=>[6,3,1,15,10,2,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,2,15,1,3,6,10]=>[10,6,3,1,15,2,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,21,4,5,2,1,3,6,10,15]=>[15,10,6,3,1,2,5,4,21,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,6,10,15,21,2,3,1]=>[1,3,2,21,15,10,6,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,6,10,15,21,2,1,3]=>[3,1,2,21,15,10,6,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,10,15,21,2,3,6,1]=>[1,6,3,2,21,15,10,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,10,15,21,2,6,1,3]=>[3,1,6,2,21,15,10,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,10,15,21,2,1,3,6]=>[6,3,1,2,21,15,10,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,15,21,2,3,6,10,1]=>[1,10,6,3,2,21,15,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,15,21,2,6,10,1,3]=>[3,1,10,6,2,21,15,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,15,21,2,10,1,3,6]=>[6,3,1,10,2,21,15,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,15,21,2,1,3,6,10]=>[10,6,3,1,2,21,15,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,21,2,3,6,10,15,1]=>[1,15,10,6,3,2,21,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,21,2,6,10,15,1,3]=>[3,1,15,10,6,2,21,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,21,2,10,15,1,3,6]=>[6,3,1,15,10,2,21,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,21,2,15,1,3,6,10]=>[10,6,3,1,15,2,21,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,21,2,1,3,6,10,15]=>[15,10,6,3,1,2,21,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,2,3,6,10,15,21,1]=>[1,21,15,10,6,3,2,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,2,6,10,15,21,1,3]=>[3,1,21,15,10,6,2,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,2,10,15,21,1,3,6]=>[6,3,1,21,15,10,2,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,2,15,21,1,3,6,10]=>[10,6,3,1,21,15,2,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,2,21,1,3,6,10,15]=>[15,10,6,3,1,21,2,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,7,8,9,4,5,2,1,3,6,10,15,21]=>[21,15,10,6,3,1,2,5,4,9,8,7,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,10,4,2,5,1,3,6]=>[6,3,1,5,2,4,10,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,9,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,9,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,8,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,8,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,15,7,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,7,15,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,10,15,4,2,5,1,3,6]=>[6,3,1,5,2,4,15,10,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,9,15,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,15,9,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,15,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,15,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,15,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,15,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,8,15,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,15,8,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,14,7,15,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,15,7,14,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,9,14,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,14,9,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,9,14,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,14,9,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,9,14,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,14,9,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,9,14,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,14,9,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,9,14,4,10,15,2,5,1,3,6]=>[6,3,1,5,2,15,10,4,14,9,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,14,4,5,9,15,2,3,6,10,1]=>[1,10,6,3,2,15,9,5,4,14,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,14,4,5,9,15,2,6,10,1,3]=>[3,1,10,6,2,15,9,5,4,14,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,8,14,4,9,15,2,5,10,1,3,6]=>[6,3,1,10,5,2,15,9,4,14,8,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,13,7,14,4,8,15,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,15,8,4,14,7,13,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,7,8,13,4,5,9,14,2,3,6,10,15,1]=>[1,15,10,6,3,2,14,9,5,4,13,8,7,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,7,8,13,4,5,9,14,2,6,10,15,1,3]=>[3,1,15,10,6,2,14,9,5,4,13,8,7,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,7,8,13,4,9,14,2,5,10,15,1,3,6]=>[6,3,1,15,10,5,2,14,9,4,13,8,7,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,12,7,13,4,8,14,2,5,9,15,1,3,6,10]=>[10,6,3,1,15,9,5,2,14,8,4,13,7,12,11,21,20,19,18,17,16]
[16,17,18,19,20,21,11,7,12,4,8,13,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,13,8,4,12,7,11,21,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,10,4,2,5,1,3,6]=>[6,3,1,5,2,4,10,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,9,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,9,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,8,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,8,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,15,21,7,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,7,21,15,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,10,15,4,2,5,1,3,6]=>[6,3,1,5,2,4,15,10,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,9,15,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,15,9,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,15,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,15,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,15,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,15,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,8,15,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,15,8,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,14,21,7,15,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,15,7,21,14,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,9,14,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,14,9,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,9,14,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,14,9,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,9,14,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,14,9,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,9,14,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,14,9,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,9,14,4,10,15,2,5,1,3,6]=>[6,3,1,5,2,15,10,4,14,9,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,14,4,5,9,15,2,3,6,10,1]=>[1,10,6,3,2,15,9,5,4,14,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,14,4,5,9,15,2,6,10,1,3]=>[3,1,10,6,2,15,9,5,4,14,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,8,14,4,9,15,2,5,10,1,3,6]=>[6,3,1,10,5,2,15,9,4,14,8,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,13,21,7,14,4,8,15,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,15,8,4,14,7,21,13,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,21,7,8,13,4,5,9,14,2,3,6,10,15,1]=>[1,15,10,6,3,2,14,9,5,4,13,8,7,21,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,21,7,8,13,4,5,9,14,2,6,10,15,1,3]=>[3,1,15,10,6,2,14,9,5,4,13,8,7,21,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,21,7,8,13,4,9,14,2,5,10,15,1,3,6]=>[6,3,1,15,10,5,2,14,9,4,13,8,7,21,12,11,20,19,18,17,16]
[16,17,18,19,20,11,12,21,7,13,4,8,14,2,5,9,15,1,3,6,10]=>[10,6,3,1,15,9,5,2,14,8,4,13,7,21,12,11,20,19,18,17,16]
[16,17,18,19,20,11,21,7,12,4,8,13,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,13,8,4,12,7,21,11,20,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,10,15,21,4,5,6,2,3,1]=>[1,3,2,6,5,4,21,15,10,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,10,15,21,4,5,6,2,1,3]=>[3,1,2,6,5,4,21,15,10,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,10,15,21,4,5,2,3,6,1]=>[1,6,3,2,5,4,21,15,10,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,10,15,21,4,5,2,6,1,3]=>[3,1,6,2,5,4,21,15,10,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,10,15,21,4,2,5,1,3,6]=>[6,3,1,5,2,4,21,15,10,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,15,21,4,5,6,10,2,3,1]=>[1,3,2,10,6,5,4,21,15,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,15,21,4,5,6,10,2,1,3]=>[3,1,2,10,6,5,4,21,15,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,15,21,4,5,10,2,3,6,1]=>[1,6,3,2,10,5,4,21,15,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,15,21,4,5,10,2,6,1,3]=>[3,1,6,2,10,5,4,21,15,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,9,15,21,4,10,2,5,1,3,6]=>[6,3,1,5,2,10,4,21,15,9,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,15,21,4,5,9,2,3,6,10,1]=>[1,10,6,3,2,9,5,4,21,15,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,15,21,4,5,9,2,6,10,1,3]=>[3,1,10,6,2,9,5,4,21,15,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,8,15,21,4,9,2,5,10,1,3,6]=>[6,3,1,10,5,2,9,4,21,15,8,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,14,20,7,15,21,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,21,15,7,20,14,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,9,14,21,4,5,6,10,15,2,3,1]=>[1,3,2,15,10,6,5,4,21,14,9,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,9,14,21,4,5,6,10,15,2,1,3]=>[3,1,2,15,10,6,5,4,21,14,9,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,9,14,21,4,5,10,15,2,3,6,1]=>[1,6,3,2,15,10,5,4,21,14,9,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,9,14,21,4,5,10,15,2,6,1,3]=>[3,1,6,2,15,10,5,4,21,14,9,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,9,14,21,4,10,15,2,5,1,3,6]=>[6,3,1,5,2,15,10,4,21,14,9,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,14,21,4,5,9,15,2,3,6,10,1]=>[1,10,6,3,2,15,9,5,4,21,14,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,14,21,4,5,9,15,2,6,10,1,3]=>[3,1,10,6,2,15,9,5,4,21,14,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,8,14,21,4,9,15,2,5,10,1,3,6]=>[6,3,1,10,5,2,15,9,4,21,14,8,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,13,20,7,14,21,4,8,15,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,15,8,4,21,14,7,20,13,12,11,19,18,17,16]
[16,17,18,19,11,12,20,7,8,13,21,4,5,9,14,2,3,6,10,15,1]=>[1,15,10,6,3,2,14,9,5,4,21,13,8,7,20,12,11,19,18,17,16]
[16,17,18,19,11,12,20,7,8,13,21,4,5,9,14,2,6,10,15,1,3]=>[3,1,15,10,6,2,14,9,5,4,21,13,8,7,20,12,11,19,18,17,16]
[16,17,18,19,11,12,20,7,8,13,21,4,9,14,2,5,10,15,1,3,6]=>[6,3,1,15,10,5,2,14,9,4,21,13,8,7,20,12,11,19,18,17,16]
[16,17,18,19,11,12,20,7,13,21,4,8,14,2,5,9,15,1,3,6,10]=>[10,6,3,1,15,9,5,2,14,8,4,21,13,7,20,12,11,19,18,17,16]
[16,17,18,19,11,20,7,12,21,4,8,13,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,13,8,4,21,12,7,20,11,19,18,17,16]
[16,17,18,11,12,13,19,7,8,9,14,20,4,5,6,10,15,21,2,3,1]=>[1,3,2,21,15,10,6,5,4,20,14,9,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,8,9,14,20,4,5,6,10,15,21,2,1,3]=>[3,1,2,21,15,10,6,5,4,20,14,9,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,8,9,14,20,4,5,10,15,21,2,3,6,1]=>[1,6,3,2,21,15,10,5,4,20,14,9,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,8,9,14,20,4,5,10,15,21,2,6,1,3]=>[3,1,6,2,21,15,10,5,4,20,14,9,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,8,9,14,20,4,10,15,21,2,5,1,3,6]=>[6,3,1,5,2,21,15,10,4,20,14,9,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,8,14,20,4,5,9,15,21,2,3,6,10,1]=>[1,10,6,3,2,21,15,9,5,4,20,14,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,8,14,20,4,5,9,15,21,2,6,10,1,3]=>[3,1,10,6,2,21,15,9,5,4,20,14,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,8,14,20,4,9,15,21,2,5,10,1,3,6]=>[6,3,1,10,5,2,21,15,9,4,20,14,8,7,19,13,12,11,18,17,16]
[16,17,18,11,12,13,19,7,14,20,4,8,15,21,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,21,15,8,4,20,14,7,19,13,12,11,18,17,16]
[16,17,18,11,12,19,7,8,13,20,4,5,9,14,21,2,3,6,10,15,1]=>[1,15,10,6,3,2,21,14,9,5,4,20,13,8,7,19,12,11,18,17,16]
[16,17,18,11,12,19,7,8,13,20,4,5,9,14,21,2,6,10,15,1,3]=>[3,1,15,10,6,2,21,14,9,5,4,20,13,8,7,19,12,11,18,17,16]
[16,17,18,11,12,19,7,8,13,20,4,9,14,21,2,5,10,15,1,3,6]=>[6,3,1,15,10,5,2,21,14,9,4,20,13,8,7,19,12,11,18,17,16]
[16,17,18,11,12,19,7,13,20,4,8,14,21,2,5,9,15,1,3,6,10]=>[10,6,3,1,15,9,5,2,21,14,8,4,20,13,7,19,12,11,18,17,16]
[16,17,18,11,19,7,12,20,4,8,13,21,2,5,9,14,1,3,6,10,15]=>[15,10,6,3,1,14,9,5,2,21,13,8,4,20,12,7,19,11,18,17,16]
[16,17,11,12,18,7,8,13,19,4,5,9,14,20,2,3,6,10,15,21,1]=>[1,21,15,10,6,3,2,20,14,9,5,4,19,13,8,7,18,12,11,17,16]
[16,17,11,12,18,7,8,13,19,4,5,9,14,20,2,6,10,15,21,1,3]=>[3,1,21,15,10,6,2,20,14,9,5,4,19,13,8,7,18,12,11,17,16]
[16,17,11,12,18,7,8,13,19,4,9,14,20,2,5,10,15,21,1,3,6]=>[6,3,1,21,15,10,5,2,20,14,9,4,19,13,8,7,18,12,11,17,16]
[16,17,11,12,18,7,13,19,4,8,14,20,2,5,9,15,21,1,3,6,10]=>[10,6,3,1,21,15,9,5,2,20,14,8,4,19,13,7,18,12,11,17,16]
[16,17,11,18,7,12,19,4,8,13,20,2,5,9,14,21,1,3,6,10,15]=>[15,10,6,3,1,21,14,9,5,2,20,13,8,4,19,12,7,18,11,17,16]
[20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,22,21]=>[21,22,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[2,1,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,1,2]
[11,12,13,14,15,16,17,18,19,20,10,9,8,7,6,5,4,3,2,1,22,21]=>[21,22,1,2,3,4,5,6,7,8,9,10,20,19,18,17,16,15,14,13,12,11]
[2,1,13,14,15,16,17,18,19,20,21,22,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,22,21,20,19,18,17,16,15,14,13,1,2]
[11,12,13,14,15,16,17,18,19,20,22,1,2,3,4,5,6,7,8,9,10,21]=>[21,10,9,8,7,6,5,4,3,2,1,22,20,19,18,17,16,15,14,13,12,11]
[2,13,14,15,16,17,18,19,20,21,22,1,3,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,3,1,22,21,20,19,18,17,16,15,14,13,2]
[21,22,10,20,9,19,8,18,7,17,6,16,5,15,4,14,3,13,2,12,1,11]=>[11,1,12,2,13,3,14,4,15,5,16,6,17,7,18,8,19,9,20,10,22,21]
[12,22,11,21,10,20,9,19,8,18,7,17,6,16,5,15,4,14,3,13,1,2]=>[2,1,13,3,14,4,15,5,16,6,17,7,18,8,19,9,20,10,21,11,22,12]
[12,13,14,15,16,17,18,19,20,21,1,2,3,4,5,6,7,8,9,10,22,11]=>[11,22,10,9,8,7,6,5,4,3,2,1,21,20,19,18,17,16,15,14,13,12]
[12,1,13,14,15,16,17,18,19,20,21,22,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,22,21,20,19,18,17,16,15,14,13,1,12]
          

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

Description

Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.

Properties

bijective, graded, involutive

Sage code

def mapping(sigma):
    return sigma.reverse()

Weight

Created

Jan 26, 2020 at 12:33 by FindStatCrew

Updated

Jan 26, 2020 at 12:33 by Martin Rubey