- FindStat

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Identifier

Mp00062: Permutations —Lehmer-code to major-code bijection⟶ Permutations

Images

=>
            
              
            

            []=>[]
[1]=>[1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[3,1,2]
[2,1,3]=>[2,1,3]
[2,3,1]=>[1,3,2]
[3,1,2]=>[2,3,1]
[3,2,1]=>[3,2,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[4,1,2,3]
[1,3,2,4]=>[3,1,2,4]
[1,3,4,2]=>[2,4,1,3]
[1,4,2,3]=>[3,4,1,2]
[1,4,3,2]=>[4,3,1,2]
[2,1,3,4]=>[2,1,3,4]
[2,1,4,3]=>[1,4,2,3]
[2,3,1,4]=>[1,3,2,4]
[2,3,4,1]=>[1,2,4,3]
[2,4,1,3]=>[1,3,4,2]
[2,4,3,1]=>[4,1,3,2]
[3,1,2,4]=>[2,3,1,4]
[3,1,4,2]=>[4,2,1,3]
[3,2,1,4]=>[3,2,1,4]
[3,2,4,1]=>[2,1,4,3]
[3,4,1,2]=>[3,1,4,2]
[3,4,2,1]=>[1,4,3,2]
[4,1,2,3]=>[2,3,4,1]
[4,1,3,2]=>[4,2,3,1]
[4,2,1,3]=>[3,2,4,1]
[4,2,3,1]=>[2,4,3,1]
[4,3,1,2]=>[3,4,2,1]
[4,3,2,1]=>[4,3,2,1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[5,1,2,3,4]
[1,2,4,3,5]=>[4,1,2,3,5]
[1,2,4,5,3]=>[3,5,1,2,4]
[1,2,5,3,4]=>[4,5,1,2,3]
[1,2,5,4,3]=>[5,4,1,2,3]
[1,3,2,4,5]=>[3,1,2,4,5]
[1,3,2,5,4]=>[2,5,1,3,4]
[1,3,4,2,5]=>[2,4,1,3,5]
[1,3,4,5,2]=>[2,3,5,1,4]
[1,3,5,2,4]=>[2,4,5,1,3]
[1,3,5,4,2]=>[5,2,4,1,3]
[1,4,2,3,5]=>[3,4,1,2,5]
[1,4,2,5,3]=>[5,3,1,2,4]
[1,4,3,2,5]=>[4,3,1,2,5]
[1,4,3,5,2]=>[3,2,5,1,4]
[1,4,5,2,3]=>[4,2,5,1,3]
[1,4,5,3,2]=>[2,5,4,1,3]
[1,5,2,3,4]=>[3,4,5,1,2]
[1,5,2,4,3]=>[5,3,4,1,2]
[1,5,3,2,4]=>[4,3,5,1,2]
[1,5,3,4,2]=>[3,5,4,1,2]
[1,5,4,2,3]=>[4,5,3,1,2]
[1,5,4,3,2]=>[5,4,3,1,2]
[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,3,5,4]=>[1,5,2,3,4]
[2,1,4,3,5]=>[1,4,2,3,5]
[2,1,4,5,3]=>[1,3,5,2,4]
[2,1,5,3,4]=>[1,4,5,2,3]
[2,1,5,4,3]=>[5,1,4,2,3]
[2,3,1,4,5]=>[1,3,2,4,5]
[2,3,1,5,4]=>[1,2,5,3,4]
[2,3,4,1,5]=>[1,2,4,3,5]
[2,3,4,5,1]=>[1,2,3,5,4]
[2,3,5,1,4]=>[1,2,4,5,3]
[2,3,5,4,1]=>[5,1,2,4,3]
[2,4,1,3,5]=>[1,3,4,2,5]
[2,4,1,5,3]=>[5,1,3,2,4]
[2,4,3,1,5]=>[4,1,3,2,5]
[2,4,3,5,1]=>[3,1,2,5,4]
[2,4,5,1,3]=>[4,1,2,5,3]
[2,4,5,3,1]=>[2,5,1,4,3]
[2,5,1,3,4]=>[1,3,4,5,2]
[2,5,1,4,3]=>[5,1,3,4,2]
[2,5,3,1,4]=>[4,1,3,5,2]
[2,5,3,4,1]=>[3,5,1,4,2]
[2,5,4,1,3]=>[4,5,1,3,2]
[2,5,4,3,1]=>[5,4,1,3,2]
[3,1,2,4,5]=>[2,3,1,4,5]
[3,1,2,5,4]=>[5,2,1,3,4]
[3,1,4,2,5]=>[4,2,1,3,5]
[3,1,4,5,2]=>[3,1,5,2,4]
[3,1,5,2,4]=>[4,1,5,2,3]
[3,1,5,4,2]=>[1,5,4,2,3]
[3,2,1,4,5]=>[3,2,1,4,5]
[3,2,1,5,4]=>[2,1,5,3,4]
[3,2,4,1,5]=>[2,1,4,3,5]
[3,2,4,5,1]=>[2,1,3,5,4]
[3,2,5,1,4]=>[2,1,4,5,3]
[3,2,5,4,1]=>[1,5,2,4,3]
[3,4,1,2,5]=>[3,1,4,2,5]
[3,4,1,5,2]=>[1,5,3,2,4]
[3,4,2,1,5]=>[1,4,3,2,5]
[3,4,2,5,1]=>[1,3,2,5,4]
[3,4,5,1,2]=>[1,4,2,5,3]
[3,4,5,2,1]=>[1,2,5,4,3]
[3,5,1,2,4]=>[3,1,4,5,2]
[3,5,1,4,2]=>[1,5,3,4,2]
[3,5,2,1,4]=>[1,4,3,5,2]
[3,5,2,4,1]=>[1,3,5,4,2]
[3,5,4,1,2]=>[1,4,5,3,2]
[3,5,4,2,1]=>[5,1,4,3,2]
[4,1,2,3,5]=>[2,3,4,1,5]
[4,1,2,5,3]=>[5,2,3,1,4]
[4,1,3,2,5]=>[4,2,3,1,5]
[4,1,3,5,2]=>[3,5,2,1,4]
[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,5,3,2]=>[5,4,2,1,3]
[4,2,1,3,5]=>[3,2,4,1,5]
[4,2,1,5,3]=>[2,5,3,1,4]
[4,2,3,1,5]=>[2,4,3,1,5]
[4,2,3,5,1]=>[2,3,1,5,4]
[4,2,5,1,3]=>[2,4,1,5,3]
[4,2,5,3,1]=>[5,2,1,4,3]
[4,3,1,2,5]=>[3,4,2,1,5]
[4,3,1,5,2]=>[5,3,2,1,4]
[4,3,2,1,5]=>[4,3,2,1,5]
[4,3,2,5,1]=>[3,2,1,5,4]
[4,3,5,1,2]=>[4,2,1,5,3]
[4,3,5,2,1]=>[2,1,5,4,3]
[4,5,1,2,3]=>[3,4,1,5,2]
[4,5,1,3,2]=>[5,3,1,4,2]
[4,5,2,1,3]=>[4,3,1,5,2]
[4,5,2,3,1]=>[3,1,5,4,2]
[4,5,3,1,2]=>[4,1,5,3,2]
[4,5,3,2,1]=>[1,5,4,3,2]
[5,1,2,3,4]=>[2,3,4,5,1]
[5,1,2,4,3]=>[5,2,3,4,1]
[5,1,3,2,4]=>[4,2,3,5,1]
[5,1,3,4,2]=>[3,5,2,4,1]
[5,1,4,2,3]=>[4,5,2,3,1]
[5,1,4,3,2]=>[5,4,2,3,1]
[5,2,1,3,4]=>[3,2,4,5,1]
[5,2,1,4,3]=>[2,5,3,4,1]
[5,2,3,1,4]=>[2,4,3,5,1]
[5,2,3,4,1]=>[2,3,5,4,1]
[5,2,4,1,3]=>[2,4,5,3,1]
[5,2,4,3,1]=>[5,2,4,3,1]
[5,3,1,2,4]=>[3,4,2,5,1]
[5,3,1,4,2]=>[5,3,2,4,1]
[5,3,2,1,4]=>[4,3,2,5,1]
[5,3,2,4,1]=>[3,2,5,4,1]
[5,3,4,1,2]=>[4,2,5,3,1]
[5,3,4,2,1]=>[2,5,4,3,1]
[5,4,1,2,3]=>[3,4,5,2,1]
[5,4,1,3,2]=>[5,3,4,2,1]
[5,4,2,1,3]=>[4,3,5,2,1]
[5,4,2,3,1]=>[3,5,4,2,1]
[5,4,3,1,2]=>[4,5,3,2,1]
[5,4,3,2,1]=>[5,4,3,2,1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[6,1,2,3,4,5]
[1,2,3,5,4,6]=>[5,1,2,3,4,6]
[1,2,3,5,6,4]=>[4,6,1,2,3,5]
[1,2,3,6,4,5]=>[5,6,1,2,3,4]
[1,2,3,6,5,4]=>[6,5,1,2,3,4]
[1,2,4,3,5,6]=>[4,1,2,3,5,6]
[1,2,4,3,6,5]=>[3,6,1,2,4,5]
[1,2,4,5,3,6]=>[3,5,1,2,4,6]
[1,2,4,5,6,3]=>[3,4,6,1,2,5]
[1,2,4,6,3,5]=>[3,5,6,1,2,4]
[1,2,4,6,5,3]=>[6,3,5,1,2,4]
[1,2,5,3,4,6]=>[4,5,1,2,3,6]
[1,2,5,3,6,4]=>[6,4,1,2,3,5]
[1,2,5,4,3,6]=>[5,4,1,2,3,6]
[1,2,5,4,6,3]=>[4,3,6,1,2,5]
[1,2,5,6,3,4]=>[5,3,6,1,2,4]
[1,2,5,6,4,3]=>[3,6,5,1,2,4]
[1,2,6,3,4,5]=>[4,5,6,1,2,3]
[1,2,6,3,5,4]=>[6,4,5,1,2,3]
[1,2,6,4,3,5]=>[5,4,6,1,2,3]
[1,2,6,4,5,3]=>[4,6,5,1,2,3]
[1,2,6,5,3,4]=>[5,6,4,1,2,3]
[1,2,6,5,4,3]=>[6,5,4,1,2,3]
[1,3,2,4,5,6]=>[3,1,2,4,5,6]
[1,3,2,4,6,5]=>[2,6,1,3,4,5]
[1,3,2,5,4,6]=>[2,5,1,3,4,6]
[1,3,2,5,6,4]=>[2,4,6,1,3,5]
[1,3,2,6,4,5]=>[2,5,6,1,3,4]
[1,3,2,6,5,4]=>[6,2,5,1,3,4]
[1,3,4,2,5,6]=>[2,4,1,3,5,6]
[1,3,4,2,6,5]=>[2,3,6,1,4,5]
[1,3,4,5,2,6]=>[2,3,5,1,4,6]
[1,3,4,5,6,2]=>[2,3,4,6,1,5]
[1,3,4,6,2,5]=>[2,3,5,6,1,4]
[1,3,4,6,5,2]=>[6,2,3,5,1,4]
[1,3,5,2,4,6]=>[2,4,5,1,3,6]
[1,3,5,2,6,4]=>[6,2,4,1,3,5]
[1,3,5,4,2,6]=>[5,2,4,1,3,6]
[1,3,5,4,6,2]=>[4,2,3,6,1,5]
[1,3,5,6,2,4]=>[5,2,3,6,1,4]
[1,3,5,6,4,2]=>[3,6,2,5,1,4]
[1,3,6,2,4,5]=>[2,4,5,6,1,3]
[1,3,6,2,5,4]=>[6,2,4,5,1,3]
[1,3,6,4,2,5]=>[5,2,4,6,1,3]
[1,3,6,4,5,2]=>[4,6,2,5,1,3]
[1,3,6,5,2,4]=>[5,6,2,4,1,3]
[1,3,6,5,4,2]=>[6,5,2,4,1,3]
[1,4,2,3,5,6]=>[3,4,1,2,5,6]
[1,4,2,3,6,5]=>[6,3,1,2,4,5]
[1,4,2,5,3,6]=>[5,3,1,2,4,6]
[1,4,2,5,6,3]=>[4,2,6,1,3,5]
[1,4,2,6,3,5]=>[5,2,6,1,3,4]
[1,4,2,6,5,3]=>[2,6,5,1,3,4]
[1,4,3,2,5,6]=>[4,3,1,2,5,6]
[1,4,3,2,6,5]=>[3,2,6,1,4,5]
[1,4,3,5,2,6]=>[3,2,5,1,4,6]
[1,4,3,5,6,2]=>[3,2,4,6,1,5]
[1,4,3,6,2,5]=>[3,2,5,6,1,4]
[1,4,3,6,5,2]=>[2,6,3,5,1,4]
[1,4,5,2,3,6]=>[4,2,5,1,3,6]
[1,4,5,2,6,3]=>[2,6,4,1,3,5]
[1,4,5,3,2,6]=>[2,5,4,1,3,6]
[1,4,5,3,6,2]=>[2,4,3,6,1,5]
[1,4,5,6,2,3]=>[2,5,3,6,1,4]
[1,4,5,6,3,2]=>[2,3,6,5,1,4]
[1,4,6,2,3,5]=>[4,2,5,6,1,3]
[1,4,6,2,5,3]=>[2,6,4,5,1,3]
[1,4,6,3,2,5]=>[2,5,4,6,1,3]
[1,4,6,3,5,2]=>[2,4,6,5,1,3]
[1,4,6,5,2,3]=>[2,5,6,4,1,3]
[1,4,6,5,3,2]=>[6,2,5,4,1,3]
[1,5,2,3,4,6]=>[3,4,5,1,2,6]
[1,5,2,3,6,4]=>[6,3,4,1,2,5]
[1,5,2,4,3,6]=>[5,3,4,1,2,6]
[1,5,2,4,6,3]=>[4,6,3,1,2,5]
[1,5,2,6,3,4]=>[5,6,3,1,2,4]
[1,5,2,6,4,3]=>[6,5,3,1,2,4]
[1,5,3,2,4,6]=>[4,3,5,1,2,6]
[1,5,3,2,6,4]=>[3,6,4,1,2,5]
[1,5,3,4,2,6]=>[3,5,4,1,2,6]
[1,5,3,4,6,2]=>[3,4,2,6,1,5]
[1,5,3,6,2,4]=>[3,5,2,6,1,4]
[1,5,3,6,4,2]=>[6,3,2,5,1,4]
[1,5,4,2,3,6]=>[4,5,3,1,2,6]
[1,5,4,2,6,3]=>[6,4,3,1,2,5]
[1,5,4,3,2,6]=>[5,4,3,1,2,6]
[1,5,4,3,6,2]=>[4,3,2,6,1,5]
[1,5,4,6,2,3]=>[5,3,2,6,1,4]
[1,5,4,6,3,2]=>[3,2,6,5,1,4]
[1,5,6,2,3,4]=>[4,5,2,6,1,3]
[1,5,6,2,4,3]=>[6,4,2,5,1,3]
[1,5,6,3,2,4]=>[5,4,2,6,1,3]
[1,5,6,3,4,2]=>[4,2,6,5,1,3]
[1,5,6,4,2,3]=>[5,2,6,4,1,3]
[1,5,6,4,3,2]=>[2,6,5,4,1,3]
[1,6,2,3,4,5]=>[3,4,5,6,1,2]
[1,6,2,3,5,4]=>[6,3,4,5,1,2]
[1,6,2,4,3,5]=>[5,3,4,6,1,2]
[1,6,2,4,5,3]=>[4,6,3,5,1,2]
[1,6,2,5,3,4]=>[5,6,3,4,1,2]
[1,6,2,5,4,3]=>[6,5,3,4,1,2]
[1,6,3,2,4,5]=>[4,3,5,6,1,2]
[1,6,3,2,5,4]=>[3,6,4,5,1,2]
[1,6,3,4,2,5]=>[3,5,4,6,1,2]
[1,6,3,4,5,2]=>[3,4,6,5,1,2]
[1,6,3,5,2,4]=>[3,5,6,4,1,2]
[1,6,3,5,4,2]=>[6,3,5,4,1,2]
[1,6,4,2,3,5]=>[4,5,3,6,1,2]
[1,6,4,2,5,3]=>[6,4,3,5,1,2]
[1,6,4,3,2,5]=>[5,4,3,6,1,2]
[1,6,4,3,5,2]=>[4,3,6,5,1,2]
[1,6,4,5,2,3]=>[5,3,6,4,1,2]
[1,6,4,5,3,2]=>[3,6,5,4,1,2]
[1,6,5,2,3,4]=>[4,5,6,3,1,2]
[1,6,5,2,4,3]=>[6,4,5,3,1,2]
[1,6,5,3,2,4]=>[5,4,6,3,1,2]
[1,6,5,3,4,2]=>[4,6,5,3,1,2]
[1,6,5,4,2,3]=>[5,6,4,3,1,2]
[1,6,5,4,3,2]=>[6,5,4,3,1,2]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[2,1,3,4,6,5]=>[1,6,2,3,4,5]
[2,1,3,5,4,6]=>[1,5,2,3,4,6]
[2,1,3,5,6,4]=>[1,4,6,2,3,5]
[2,1,3,6,4,5]=>[1,5,6,2,3,4]
[2,1,3,6,5,4]=>[6,1,5,2,3,4]
[2,1,4,3,5,6]=>[1,4,2,3,5,6]
[2,1,4,3,6,5]=>[1,3,6,2,4,5]
[2,1,4,5,3,6]=>[1,3,5,2,4,6]
[2,1,4,5,6,3]=>[1,3,4,6,2,5]
[2,1,4,6,3,5]=>[1,3,5,6,2,4]
[2,1,4,6,5,3]=>[6,1,3,5,2,4]
[2,1,5,3,4,6]=>[1,4,5,2,3,6]
[2,1,5,3,6,4]=>[6,1,4,2,3,5]
[2,1,5,4,3,6]=>[5,1,4,2,3,6]
[2,1,5,4,6,3]=>[4,1,3,6,2,5]
[2,1,5,6,3,4]=>[5,1,3,6,2,4]
[2,1,5,6,4,3]=>[3,6,1,5,2,4]
[2,1,6,3,4,5]=>[1,4,5,6,2,3]
[2,1,6,3,5,4]=>[6,1,4,5,2,3]
[2,1,6,4,3,5]=>[5,1,4,6,2,3]
[2,1,6,4,5,3]=>[4,6,1,5,2,3]
[2,1,6,5,3,4]=>[5,6,1,4,2,3]
[2,1,6,5,4,3]=>[6,5,1,4,2,3]
[2,3,1,4,5,6]=>[1,3,2,4,5,6]
[2,3,1,4,6,5]=>[1,2,6,3,4,5]
[2,3,1,5,4,6]=>[1,2,5,3,4,6]
[2,3,1,5,6,4]=>[1,2,4,6,3,5]
[2,3,1,6,4,5]=>[1,2,5,6,3,4]
[2,3,1,6,5,4]=>[6,1,2,5,3,4]
[2,3,4,1,5,6]=>[1,2,4,3,5,6]
[2,3,4,1,6,5]=>[1,2,3,6,4,5]
[2,3,4,5,1,6]=>[1,2,3,5,4,6]
[2,3,4,5,6,1]=>[1,2,3,4,6,5]
[2,3,4,6,1,5]=>[1,2,3,5,6,4]
[2,3,4,6,5,1]=>[6,1,2,3,5,4]
[2,3,5,1,4,6]=>[1,2,4,5,3,6]
[2,3,5,1,6,4]=>[6,1,2,4,3,5]
[2,3,5,4,1,6]=>[5,1,2,4,3,6]
[2,3,5,4,6,1]=>[4,1,2,3,6,5]
[2,3,5,6,1,4]=>[5,1,2,3,6,4]
[2,3,5,6,4,1]=>[3,6,1,2,5,4]
[2,3,6,1,4,5]=>[1,2,4,5,6,3]
[2,3,6,1,5,4]=>[6,1,2,4,5,3]
[2,3,6,4,1,5]=>[5,1,2,4,6,3]
[2,3,6,4,5,1]=>[4,6,1,2,5,3]
[2,3,6,5,1,4]=>[5,6,1,2,4,3]
[2,3,6,5,4,1]=>[6,5,1,2,4,3]
[2,4,1,3,5,6]=>[1,3,4,2,5,6]
[2,4,1,3,6,5]=>[6,1,3,2,4,5]
[2,4,1,5,3,6]=>[5,1,3,2,4,6]
[2,4,1,5,6,3]=>[4,1,2,6,3,5]
[2,4,1,6,3,5]=>[5,1,2,6,3,4]
[2,4,1,6,5,3]=>[2,6,1,5,3,4]
[2,4,3,1,5,6]=>[4,1,3,2,5,6]
[2,4,3,1,6,5]=>[3,1,2,6,4,5]
[2,4,3,5,1,6]=>[3,1,2,5,4,6]
[2,4,3,5,6,1]=>[3,1,2,4,6,5]
[2,4,3,6,1,5]=>[3,1,2,5,6,4]
[2,4,3,6,5,1]=>[2,6,1,3,5,4]
[2,4,5,1,3,6]=>[4,1,2,5,3,6]
[2,4,5,1,6,3]=>[2,6,1,4,3,5]
[2,4,5,3,1,6]=>[2,5,1,4,3,6]
[2,4,5,3,6,1]=>[2,4,1,3,6,5]
[2,4,5,6,1,3]=>[2,5,1,3,6,4]
[2,4,5,6,3,1]=>[2,3,6,1,5,4]
[2,4,6,1,3,5]=>[4,1,2,5,6,3]
[2,4,6,1,5,3]=>[2,6,1,4,5,3]
[2,4,6,3,1,5]=>[2,5,1,4,6,3]
[2,4,6,3,5,1]=>[2,4,6,1,5,3]
[2,4,6,5,1,3]=>[2,5,6,1,4,3]
[2,4,6,5,3,1]=>[6,2,5,1,4,3]
[2,5,1,3,4,6]=>[1,3,4,5,2,6]
[2,5,1,3,6,4]=>[6,1,3,4,2,5]
[2,5,1,4,3,6]=>[5,1,3,4,2,6]
[2,5,1,4,6,3]=>[4,6,1,3,2,5]
[2,5,1,6,3,4]=>[5,6,1,3,2,4]
[2,5,1,6,4,3]=>[6,5,1,3,2,4]
[2,5,3,1,4,6]=>[4,1,3,5,2,6]
[2,5,3,1,6,4]=>[3,6,1,4,2,5]
[2,5,3,4,1,6]=>[3,5,1,4,2,6]
[2,5,3,4,6,1]=>[3,4,1,2,6,5]
[2,5,3,6,1,4]=>[3,5,1,2,6,4]
[2,5,3,6,4,1]=>[6,3,1,2,5,4]
[2,5,4,1,3,6]=>[4,5,1,3,2,6]
[2,5,4,1,6,3]=>[6,4,1,3,2,5]
[2,5,4,3,1,6]=>[5,4,1,3,2,6]
[2,5,4,3,6,1]=>[4,3,1,2,6,5]
[2,5,4,6,1,3]=>[5,3,1,2,6,4]
[2,5,4,6,3,1]=>[3,2,6,1,5,4]
[2,5,6,1,3,4]=>[4,5,1,2,6,3]
[2,5,6,1,4,3]=>[6,4,1,2,5,3]
[2,5,6,3,1,4]=>[5,4,1,2,6,3]
[2,5,6,3,4,1]=>[4,2,6,1,5,3]
[2,5,6,4,1,3]=>[5,2,6,1,4,3]
[2,5,6,4,3,1]=>[2,6,5,1,4,3]
[2,6,1,3,4,5]=>[1,3,4,5,6,2]
[2,6,1,3,5,4]=>[6,1,3,4,5,2]
[2,6,1,4,3,5]=>[5,1,3,4,6,2]
[2,6,1,4,5,3]=>[4,6,1,3,5,2]
[2,6,1,5,3,4]=>[5,6,1,3,4,2]
[2,6,1,5,4,3]=>[6,5,1,3,4,2]
[2,6,3,1,4,5]=>[4,1,3,5,6,2]
[2,6,3,1,5,4]=>[3,6,1,4,5,2]
[2,6,3,4,1,5]=>[3,5,1,4,6,2]
[2,6,3,4,5,1]=>[3,4,6,1,5,2]
[2,6,3,5,1,4]=>[3,5,6,1,4,2]
[2,6,3,5,4,1]=>[6,3,5,1,4,2]
[2,6,4,1,3,5]=>[4,5,1,3,6,2]
[2,6,4,1,5,3]=>[6,4,1,3,5,2]
[2,6,4,3,1,5]=>[5,4,1,3,6,2]
[2,6,4,3,5,1]=>[4,3,6,1,5,2]
[2,6,4,5,1,3]=>[5,3,6,1,4,2]
[2,6,4,5,3,1]=>[3,6,5,1,4,2]
[2,6,5,1,3,4]=>[4,5,6,1,3,2]
[2,6,5,1,4,3]=>[6,4,5,1,3,2]
[2,6,5,3,1,4]=>[5,4,6,1,3,2]
[2,6,5,3,4,1]=>[4,6,5,1,3,2]
[2,6,5,4,1,3]=>[5,6,4,1,3,2]
[2,6,5,4,3,1]=>[6,5,4,1,3,2]
[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[3,1,2,4,6,5]=>[6,2,1,3,4,5]
[3,1,2,5,4,6]=>[5,2,1,3,4,6]
[3,1,2,5,6,4]=>[4,1,6,2,3,5]
[3,1,2,6,4,5]=>[5,1,6,2,3,4]
[3,1,2,6,5,4]=>[1,6,5,2,3,4]
[3,1,4,2,5,6]=>[4,2,1,3,5,6]
[3,1,4,2,6,5]=>[3,1,6,2,4,5]
[3,1,4,5,2,6]=>[3,1,5,2,4,6]
[3,1,4,5,6,2]=>[3,1,4,6,2,5]
[3,1,4,6,2,5]=>[3,1,5,6,2,4]
[3,1,4,6,5,2]=>[1,6,3,5,2,4]
[3,1,5,2,4,6]=>[4,1,5,2,3,6]
[3,1,5,2,6,4]=>[1,6,4,2,3,5]
[3,1,5,4,2,6]=>[1,5,4,2,3,6]
[3,1,5,4,6,2]=>[1,4,3,6,2,5]
[3,1,5,6,2,4]=>[1,5,3,6,2,4]
[3,1,5,6,4,2]=>[1,3,6,5,2,4]
[3,1,6,2,4,5]=>[4,1,5,6,2,3]
[3,1,6,2,5,4]=>[1,6,4,5,2,3]
[3,1,6,4,2,5]=>[1,5,4,6,2,3]
[3,1,6,4,5,2]=>[1,4,6,5,2,3]
[3,1,6,5,2,4]=>[1,5,6,4,2,3]
[3,1,6,5,4,2]=>[6,1,5,4,2,3]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]
[3,2,1,4,6,5]=>[2,1,6,3,4,5]
[3,2,1,5,4,6]=>[2,1,5,3,4,6]
[3,2,1,5,6,4]=>[2,1,4,6,3,5]
[3,2,1,6,4,5]=>[2,1,5,6,3,4]
[3,2,1,6,5,4]=>[1,6,2,5,3,4]
[3,2,4,1,5,6]=>[2,1,4,3,5,6]
[3,2,4,1,6,5]=>[2,1,3,6,4,5]
[3,2,4,5,1,6]=>[2,1,3,5,4,6]
[3,2,4,5,6,1]=>[2,1,3,4,6,5]
[3,2,4,6,1,5]=>[2,1,3,5,6,4]
[3,2,4,6,5,1]=>[1,6,2,3,5,4]
[3,2,5,1,4,6]=>[2,1,4,5,3,6]
[3,2,5,1,6,4]=>[1,6,2,4,3,5]
[3,2,5,4,1,6]=>[1,5,2,4,3,6]
[3,2,5,4,6,1]=>[1,4,2,3,6,5]
[3,2,5,6,1,4]=>[1,5,2,3,6,4]
[3,2,5,6,4,1]=>[1,3,6,2,5,4]
[3,2,6,1,4,5]=>[2,1,4,5,6,3]
[3,2,6,1,5,4]=>[1,6,2,4,5,3]
[3,2,6,4,1,5]=>[1,5,2,4,6,3]
[3,2,6,4,5,1]=>[1,4,6,2,5,3]
[3,2,6,5,1,4]=>[1,5,6,2,4,3]
[3,2,6,5,4,1]=>[6,1,5,2,4,3]
[3,4,1,2,5,6]=>[3,1,4,2,5,6]
[3,4,1,2,6,5]=>[1,6,3,2,4,5]
[3,4,1,5,2,6]=>[1,5,3,2,4,6]
[3,4,1,5,6,2]=>[1,4,2,6,3,5]
[3,4,1,6,2,5]=>[1,5,2,6,3,4]
[3,4,1,6,5,2]=>[1,2,6,5,3,4]
[3,4,2,1,5,6]=>[1,4,3,2,5,6]
[3,4,2,1,6,5]=>[1,3,2,6,4,5]
[3,4,2,5,1,6]=>[1,3,2,5,4,6]
[3,4,2,5,6,1]=>[1,3,2,4,6,5]
[3,4,2,6,1,5]=>[1,3,2,5,6,4]
[3,4,2,6,5,1]=>[1,2,6,3,5,4]
[3,4,5,1,2,6]=>[1,4,2,5,3,6]
[3,4,5,1,6,2]=>[1,2,6,4,3,5]
[3,4,5,2,1,6]=>[1,2,5,4,3,6]
[3,4,5,2,6,1]=>[1,2,4,3,6,5]
[3,4,5,6,1,2]=>[1,2,5,3,6,4]
[3,4,5,6,2,1]=>[1,2,3,6,5,4]
[3,4,6,1,2,5]=>[1,4,2,5,6,3]
[3,4,6,1,5,2]=>[1,2,6,4,5,3]
[3,4,6,2,1,5]=>[1,2,5,4,6,3]
[3,4,6,2,5,1]=>[1,2,4,6,5,3]
[3,4,6,5,1,2]=>[1,2,5,6,4,3]
[3,4,6,5,2,1]=>[6,1,2,5,4,3]
[3,5,1,2,4,6]=>[3,1,4,5,2,6]
[3,5,1,2,6,4]=>[1,6,3,4,2,5]
[3,5,1,4,2,6]=>[1,5,3,4,2,6]
[3,5,1,4,6,2]=>[1,4,6,3,2,5]
[3,5,1,6,2,4]=>[1,5,6,3,2,4]
[3,5,1,6,4,2]=>[6,1,5,3,2,4]
[3,5,2,1,4,6]=>[1,4,3,5,2,6]
[3,5,2,1,6,4]=>[1,3,6,4,2,5]
[3,5,2,4,1,6]=>[1,3,5,4,2,6]
[3,5,2,4,6,1]=>[1,3,4,2,6,5]
[3,5,2,6,1,4]=>[1,3,5,2,6,4]
[3,5,2,6,4,1]=>[6,1,3,2,5,4]
[3,5,4,1,2,6]=>[1,4,5,3,2,6]
[3,5,4,1,6,2]=>[6,1,4,3,2,5]
[3,5,4,2,1,6]=>[5,1,4,3,2,6]
[3,5,4,2,6,1]=>[4,1,3,2,6,5]
[3,5,4,6,1,2]=>[5,1,3,2,6,4]
[3,5,4,6,2,1]=>[3,1,2,6,5,4]
[3,5,6,1,2,4]=>[1,4,5,2,6,3]
[3,5,6,1,4,2]=>[6,1,4,2,5,3]
[3,5,6,2,1,4]=>[5,1,4,2,6,3]
[3,5,6,2,4,1]=>[4,1,2,6,5,3]
[3,5,6,4,1,2]=>[5,1,2,6,4,3]
[3,5,6,4,2,1]=>[2,6,1,5,4,3]
[3,6,1,2,4,5]=>[3,1,4,5,6,2]
[3,6,1,2,5,4]=>[1,6,3,4,5,2]
[3,6,1,4,2,5]=>[1,5,3,4,6,2]
[3,6,1,4,5,2]=>[1,4,6,3,5,2]
[3,6,1,5,2,4]=>[1,5,6,3,4,2]
[3,6,1,5,4,2]=>[6,1,5,3,4,2]
[3,6,2,1,4,5]=>[1,4,3,5,6,2]
[3,6,2,1,5,4]=>[1,3,6,4,5,2]
[3,6,2,4,1,5]=>[1,3,5,4,6,2]
[3,6,2,4,5,1]=>[1,3,4,6,5,2]
[3,6,2,5,1,4]=>[1,3,5,6,4,2]
[3,6,2,5,4,1]=>[6,1,3,5,4,2]
[3,6,4,1,2,5]=>[1,4,5,3,6,2]
[3,6,4,1,5,2]=>[6,1,4,3,5,2]
[3,6,4,2,1,5]=>[5,1,4,3,6,2]
[3,6,4,2,5,1]=>[4,1,3,6,5,2]
[3,6,4,5,1,2]=>[5,1,3,6,4,2]
[3,6,4,5,2,1]=>[3,6,1,5,4,2]
[3,6,5,1,2,4]=>[1,4,5,6,3,2]
[3,6,5,1,4,2]=>[6,1,4,5,3,2]
[3,6,5,2,1,4]=>[5,1,4,6,3,2]
[3,6,5,2,4,1]=>[4,6,1,5,3,2]
[3,6,5,4,1,2]=>[5,6,1,4,3,2]
[3,6,5,4,2,1]=>[6,5,1,4,3,2]
[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[4,1,2,3,6,5]=>[6,2,3,1,4,5]
[4,1,2,5,3,6]=>[5,2,3,1,4,6]
[4,1,2,5,6,3]=>[4,6,2,1,3,5]
[4,1,2,6,3,5]=>[5,6,2,1,3,4]
[4,1,2,6,5,3]=>[6,5,2,1,3,4]
[4,1,3,2,5,6]=>[4,2,3,1,5,6]
[4,1,3,2,6,5]=>[3,6,2,1,4,5]
[4,1,3,5,2,6]=>[3,5,2,1,4,6]
[4,1,3,5,6,2]=>[3,4,1,6,2,5]
[4,1,3,6,2,5]=>[3,5,1,6,2,4]
[4,1,3,6,5,2]=>[6,3,1,5,2,4]
[4,1,5,2,3,6]=>[4,5,2,1,3,6]
[4,1,5,2,6,3]=>[6,4,2,1,3,5]
[4,1,5,3,2,6]=>[5,4,2,1,3,6]
[4,1,5,3,6,2]=>[4,3,1,6,2,5]
[4,1,5,6,2,3]=>[5,3,1,6,2,4]
[4,1,5,6,3,2]=>[3,1,6,5,2,4]
[4,1,6,2,3,5]=>[4,5,1,6,2,3]
[4,1,6,2,5,3]=>[6,4,1,5,2,3]
[4,1,6,3,2,5]=>[5,4,1,6,2,3]
[4,1,6,3,5,2]=>[4,1,6,5,2,3]
[4,1,6,5,2,3]=>[5,1,6,4,2,3]
[4,1,6,5,3,2]=>[1,6,5,4,2,3]
[4,2,1,3,5,6]=>[3,2,4,1,5,6]
[4,2,1,3,6,5]=>[2,6,3,1,4,5]
[4,2,1,5,3,6]=>[2,5,3,1,4,6]
[4,2,1,5,6,3]=>[2,4,1,6,3,5]
[4,2,1,6,3,5]=>[2,5,1,6,3,4]
[4,2,1,6,5,3]=>[6,2,1,5,3,4]
[4,2,3,1,5,6]=>[2,4,3,1,5,6]
[4,2,3,1,6,5]=>[2,3,1,6,4,5]
[4,2,3,5,1,6]=>[2,3,1,5,4,6]
[4,2,3,5,6,1]=>[2,3,1,4,6,5]
[4,2,3,6,1,5]=>[2,3,1,5,6,4]
[4,2,3,6,5,1]=>[6,2,1,3,5,4]
[4,2,5,1,3,6]=>[2,4,1,5,3,6]
[4,2,5,1,6,3]=>[6,2,1,4,3,5]
[4,2,5,3,1,6]=>[5,2,1,4,3,6]
[4,2,5,3,6,1]=>[4,2,1,3,6,5]
[4,2,5,6,1,3]=>[5,2,1,3,6,4]
[4,2,5,6,3,1]=>[3,1,6,2,5,4]
[4,2,6,1,3,5]=>[2,4,1,5,6,3]
[4,2,6,1,5,3]=>[6,2,1,4,5,3]
[4,2,6,3,1,5]=>[5,2,1,4,6,3]
[4,2,6,3,5,1]=>[4,1,6,2,5,3]
[4,2,6,5,1,3]=>[5,1,6,2,4,3]
[4,2,6,5,3,1]=>[1,6,5,2,4,3]
[4,3,1,2,5,6]=>[3,4,2,1,5,6]
[4,3,1,2,6,5]=>[6,3,2,1,4,5]
[4,3,1,5,2,6]=>[5,3,2,1,4,6]
[4,3,1,5,6,2]=>[4,2,1,6,3,5]
[4,3,1,6,2,5]=>[5,2,1,6,3,4]
[4,3,1,6,5,2]=>[2,1,6,5,3,4]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]
[4,3,2,1,6,5]=>[3,2,1,6,4,5]
[4,3,2,5,1,6]=>[3,2,1,5,4,6]
[4,3,2,5,6,1]=>[3,2,1,4,6,5]
[4,3,2,6,1,5]=>[3,2,1,5,6,4]
[4,3,2,6,5,1]=>[2,1,6,3,5,4]
[4,3,5,1,2,6]=>[4,2,1,5,3,6]
[4,3,5,1,6,2]=>[2,1,6,4,3,5]
[4,3,5,2,1,6]=>[2,1,5,4,3,6]
[4,3,5,2,6,1]=>[2,1,4,3,6,5]
[4,3,5,6,1,2]=>[2,1,5,3,6,4]
[4,3,5,6,2,1]=>[2,1,3,6,5,4]
[4,3,6,1,2,5]=>[4,2,1,5,6,3]
[4,3,6,1,5,2]=>[2,1,6,4,5,3]
[4,3,6,2,1,5]=>[2,1,5,4,6,3]
[4,3,6,2,5,1]=>[2,1,4,6,5,3]
[4,3,6,5,1,2]=>[2,1,5,6,4,3]
[4,3,6,5,2,1]=>[1,6,2,5,4,3]
[4,5,1,2,3,6]=>[3,4,1,5,2,6]
[4,5,1,2,6,3]=>[6,3,1,4,2,5]
[4,5,1,3,2,6]=>[5,3,1,4,2,6]
[4,5,1,3,6,2]=>[4,1,6,3,2,5]
[4,5,1,6,2,3]=>[5,1,6,3,2,4]
[4,5,1,6,3,2]=>[1,6,5,3,2,4]
[4,5,2,1,3,6]=>[4,3,1,5,2,6]
[4,5,2,1,6,3]=>[3,1,6,4,2,5]
[4,5,2,3,1,6]=>[3,1,5,4,2,6]
[4,5,2,3,6,1]=>[3,1,4,2,6,5]
[4,5,2,6,1,3]=>[3,1,5,2,6,4]
[4,5,2,6,3,1]=>[1,6,3,2,5,4]
[4,5,3,1,2,6]=>[4,1,5,3,2,6]
[4,5,3,1,6,2]=>[1,6,4,3,2,5]
[4,5,3,2,1,6]=>[1,5,4,3,2,6]
[4,5,3,2,6,1]=>[1,4,3,2,6,5]
[4,5,3,6,1,2]=>[1,5,3,2,6,4]
[4,5,3,6,2,1]=>[1,3,2,6,5,4]
[4,5,6,1,2,3]=>[4,1,5,2,6,3]
[4,5,6,1,3,2]=>[1,6,4,2,5,3]
[4,5,6,2,1,3]=>[1,5,4,2,6,3]
[4,5,6,2,3,1]=>[1,4,2,6,5,3]
[4,5,6,3,1,2]=>[1,5,2,6,4,3]
[4,5,6,3,2,1]=>[1,2,6,5,4,3]
[4,6,1,2,3,5]=>[3,4,1,5,6,2]
[4,6,1,2,5,3]=>[6,3,1,4,5,2]
[4,6,1,3,2,5]=>[5,3,1,4,6,2]
[4,6,1,3,5,2]=>[4,1,6,3,5,2]
[4,6,1,5,2,3]=>[5,1,6,3,4,2]
[4,6,1,5,3,2]=>[1,6,5,3,4,2]
[4,6,2,1,3,5]=>[4,3,1,5,6,2]
[4,6,2,1,5,3]=>[3,1,6,4,5,2]
[4,6,2,3,1,5]=>[3,1,5,4,6,2]
[4,6,2,3,5,1]=>[3,1,4,6,5,2]
[4,6,2,5,1,3]=>[3,1,5,6,4,2]
[4,6,2,5,3,1]=>[1,6,3,5,4,2]
[4,6,3,1,2,5]=>[4,1,5,3,6,2]
[4,6,3,1,5,2]=>[1,6,4,3,5,2]
[4,6,3,2,1,5]=>[1,5,4,3,6,2]
[4,6,3,2,5,1]=>[1,4,3,6,5,2]
[4,6,3,5,1,2]=>[1,5,3,6,4,2]
[4,6,3,5,2,1]=>[1,3,6,5,4,2]
[4,6,5,1,2,3]=>[4,1,5,6,3,2]
[4,6,5,1,3,2]=>[1,6,4,5,3,2]
[4,6,5,2,1,3]=>[1,5,4,6,3,2]
[4,6,5,2,3,1]=>[1,4,6,5,3,2]
[4,6,5,3,1,2]=>[1,5,6,4,3,2]
[4,6,5,3,2,1]=>[6,1,5,4,3,2]
[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[5,1,2,3,6,4]=>[6,2,3,4,1,5]
[5,1,2,4,3,6]=>[5,2,3,4,1,6]
[5,1,2,4,6,3]=>[4,6,2,3,1,5]
[5,1,2,6,3,4]=>[5,6,2,3,1,4]
[5,1,2,6,4,3]=>[6,5,2,3,1,4]
[5,1,3,2,4,6]=>[4,2,3,5,1,6]
[5,1,3,2,6,4]=>[3,6,2,4,1,5]
[5,1,3,4,2,6]=>[3,5,2,4,1,6]
[5,1,3,4,6,2]=>[3,4,6,2,1,5]
[5,1,3,6,2,4]=>[3,5,6,2,1,4]
[5,1,3,6,4,2]=>[6,3,5,2,1,4]
[5,1,4,2,3,6]=>[4,5,2,3,1,6]
[5,1,4,2,6,3]=>[6,4,2,3,1,5]
[5,1,4,3,2,6]=>[5,4,2,3,1,6]
[5,1,4,3,6,2]=>[4,3,6,2,1,5]
[5,1,4,6,2,3]=>[5,3,6,2,1,4]
[5,1,4,6,3,2]=>[3,6,5,2,1,4]
[5,1,6,2,3,4]=>[4,5,6,2,1,3]
[5,1,6,2,4,3]=>[6,4,5,2,1,3]
[5,1,6,3,2,4]=>[5,4,6,2,1,3]
[5,1,6,3,4,2]=>[4,6,5,2,1,3]
[5,1,6,4,2,3]=>[5,6,4,2,1,3]
[5,1,6,4,3,2]=>[6,5,4,2,1,3]
[5,2,1,3,4,6]=>[3,2,4,5,1,6]
[5,2,1,3,6,4]=>[2,6,3,4,1,5]
[5,2,1,4,3,6]=>[2,5,3,4,1,6]
[5,2,1,4,6,3]=>[2,4,6,3,1,5]
[5,2,1,6,3,4]=>[2,5,6,3,1,4]
[5,2,1,6,4,3]=>[6,2,5,3,1,4]
[5,2,3,1,4,6]=>[2,4,3,5,1,6]
[5,2,3,1,6,4]=>[2,3,6,4,1,5]
[5,2,3,4,1,6]=>[2,3,5,4,1,6]
[5,2,3,4,6,1]=>[2,3,4,1,6,5]
[5,2,3,6,1,4]=>[2,3,5,1,6,4]
[5,2,3,6,4,1]=>[6,2,3,1,5,4]
[5,2,4,1,3,6]=>[2,4,5,3,1,6]
[5,2,4,1,6,3]=>[6,2,4,3,1,5]
[5,2,4,3,1,6]=>[5,2,4,3,1,6]
[5,2,4,3,6,1]=>[4,2,3,1,6,5]
[5,2,4,6,1,3]=>[5,2,3,1,6,4]
[5,2,4,6,3,1]=>[3,6,2,1,5,4]
[5,2,6,1,3,4]=>[2,4,5,1,6,3]
[5,2,6,1,4,3]=>[6,2,4,1,5,3]
[5,2,6,3,1,4]=>[5,2,4,1,6,3]
[5,2,6,3,4,1]=>[4,6,2,1,5,3]
[5,2,6,4,1,3]=>[5,6,2,1,4,3]
[5,2,6,4,3,1]=>[6,5,2,1,4,3]
[5,3,1,2,4,6]=>[3,4,2,5,1,6]
[5,3,1,2,6,4]=>[6,3,2,4,1,5]
[5,3,1,4,2,6]=>[5,3,2,4,1,6]
[5,3,1,4,6,2]=>[4,2,6,3,1,5]
[5,3,1,6,2,4]=>[5,2,6,3,1,4]
[5,3,1,6,4,2]=>[2,6,5,3,1,4]
[5,3,2,1,4,6]=>[4,3,2,5,1,6]
[5,3,2,1,6,4]=>[3,2,6,4,1,5]
[5,3,2,4,1,6]=>[3,2,5,4,1,6]
[5,3,2,4,6,1]=>[3,2,4,1,6,5]
[5,3,2,6,1,4]=>[3,2,5,1,6,4]
[5,3,2,6,4,1]=>[2,6,3,1,5,4]
[5,3,4,1,2,6]=>[4,2,5,3,1,6]
[5,3,4,1,6,2]=>[2,6,4,3,1,5]
[5,3,4,2,1,6]=>[2,5,4,3,1,6]
[5,3,4,2,6,1]=>[2,4,3,1,6,5]
[5,3,4,6,1,2]=>[2,5,3,1,6,4]
[5,3,4,6,2,1]=>[2,3,1,6,5,4]
[5,3,6,1,2,4]=>[4,2,5,1,6,3]
[5,3,6,1,4,2]=>[2,6,4,1,5,3]
[5,3,6,2,1,4]=>[2,5,4,1,6,3]
[5,3,6,2,4,1]=>[2,4,1,6,5,3]
[5,3,6,4,1,2]=>[2,5,1,6,4,3]
[5,3,6,4,2,1]=>[6,2,1,5,4,3]
[5,4,1,2,3,6]=>[3,4,5,2,1,6]
[5,4,1,2,6,3]=>[6,3,4,2,1,5]
[5,4,1,3,2,6]=>[5,3,4,2,1,6]
[5,4,1,3,6,2]=>[4,6,3,2,1,5]
[5,4,1,6,2,3]=>[5,6,3,2,1,4]
[5,4,1,6,3,2]=>[6,5,3,2,1,4]
[5,4,2,1,3,6]=>[4,3,5,2,1,6]
[5,4,2,1,6,3]=>[3,6,4,2,1,5]
[5,4,2,3,1,6]=>[3,5,4,2,1,6]
[5,4,2,3,6,1]=>[3,4,2,1,6,5]
[5,4,2,6,1,3]=>[3,5,2,1,6,4]
[5,4,2,6,3,1]=>[6,3,2,1,5,4]
[5,4,3,1,2,6]=>[4,5,3,2,1,6]
[5,4,3,1,6,2]=>[6,4,3,2,1,5]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]
[5,4,3,2,6,1]=>[4,3,2,1,6,5]
[5,4,3,6,1,2]=>[5,3,2,1,6,4]
[5,4,3,6,2,1]=>[3,2,1,6,5,4]
[5,4,6,1,2,3]=>[4,5,2,1,6,3]
[5,4,6,1,3,2]=>[6,4,2,1,5,3]
[5,4,6,2,1,3]=>[5,4,2,1,6,3]
[5,4,6,2,3,1]=>[4,2,1,6,5,3]
[5,4,6,3,1,2]=>[5,2,1,6,4,3]
[5,4,6,3,2,1]=>[2,1,6,5,4,3]
[5,6,1,2,3,4]=>[3,4,5,1,6,2]
[5,6,1,2,4,3]=>[6,3,4,1,5,2]
[5,6,1,3,2,4]=>[5,3,4,1,6,2]
[5,6,1,3,4,2]=>[4,6,3,1,5,2]
[5,6,1,4,2,3]=>[5,6,3,1,4,2]
[5,6,1,4,3,2]=>[6,5,3,1,4,2]
[5,6,2,1,3,4]=>[4,3,5,1,6,2]
[5,6,2,1,4,3]=>[3,6,4,1,5,2]
[5,6,2,3,1,4]=>[3,5,4,1,6,2]
[5,6,2,3,4,1]=>[3,4,1,6,5,2]
[5,6,2,4,1,3]=>[3,5,1,6,4,2]
[5,6,2,4,3,1]=>[6,3,1,5,4,2]
[5,6,3,1,2,4]=>[4,5,3,1,6,2]
[5,6,3,1,4,2]=>[6,4,3,1,5,2]
[5,6,3,2,1,4]=>[5,4,3,1,6,2]
[5,6,3,2,4,1]=>[4,3,1,6,5,2]
[5,6,3,4,1,2]=>[5,3,1,6,4,2]
[5,6,3,4,2,1]=>[3,1,6,5,4,2]
[5,6,4,1,2,3]=>[4,5,1,6,3,2]
[5,6,4,1,3,2]=>[6,4,1,5,3,2]
[5,6,4,2,1,3]=>[5,4,1,6,3,2]
[5,6,4,2,3,1]=>[4,1,6,5,3,2]
[5,6,4,3,1,2]=>[5,1,6,4,3,2]
[5,6,4,3,2,1]=>[1,6,5,4,3,2]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[6,1,2,3,5,4]=>[6,2,3,4,5,1]
[6,1,2,4,3,5]=>[5,2,3,4,6,1]
[6,1,2,4,5,3]=>[4,6,2,3,5,1]
[6,1,2,5,3,4]=>[5,6,2,3,4,1]
[6,1,2,5,4,3]=>[6,5,2,3,4,1]
[6,1,3,2,4,5]=>[4,2,3,5,6,1]
[6,1,3,2,5,4]=>[3,6,2,4,5,1]
[6,1,3,4,2,5]=>[3,5,2,4,6,1]
[6,1,3,4,5,2]=>[3,4,6,2,5,1]
[6,1,3,5,2,4]=>[3,5,6,2,4,1]
[6,1,3,5,4,2]=>[6,3,5,2,4,1]
[6,1,4,2,3,5]=>[4,5,2,3,6,1]
[6,1,4,2,5,3]=>[6,4,2,3,5,1]
[6,1,4,3,2,5]=>[5,4,2,3,6,1]
[6,1,4,3,5,2]=>[4,3,6,2,5,1]
[6,1,4,5,2,3]=>[5,3,6,2,4,1]
[6,1,4,5,3,2]=>[3,6,5,2,4,1]
[6,1,5,2,3,4]=>[4,5,6,2,3,1]
[6,1,5,2,4,3]=>[6,4,5,2,3,1]
[6,1,5,3,2,4]=>[5,4,6,2,3,1]
[6,1,5,3,4,2]=>[4,6,5,2,3,1]
[6,1,5,4,2,3]=>[5,6,4,2,3,1]
[6,1,5,4,3,2]=>[6,5,4,2,3,1]
[6,2,1,3,4,5]=>[3,2,4,5,6,1]
[6,2,1,3,5,4]=>[2,6,3,4,5,1]
[6,2,1,4,3,5]=>[2,5,3,4,6,1]
[6,2,1,4,5,3]=>[2,4,6,3,5,1]
[6,2,1,5,3,4]=>[2,5,6,3,4,1]
[6,2,1,5,4,3]=>[6,2,5,3,4,1]
[6,2,3,1,4,5]=>[2,4,3,5,6,1]
[6,2,3,1,5,4]=>[2,3,6,4,5,1]
[6,2,3,4,1,5]=>[2,3,5,4,6,1]
[6,2,3,4,5,1]=>[2,3,4,6,5,1]
[6,2,3,5,1,4]=>[2,3,5,6,4,1]
[6,2,3,5,4,1]=>[6,2,3,5,4,1]
[6,2,4,1,3,5]=>[2,4,5,3,6,1]
[6,2,4,1,5,3]=>[6,2,4,3,5,1]
[6,2,4,3,1,5]=>[5,2,4,3,6,1]
[6,2,4,3,5,1]=>[4,2,3,6,5,1]
[6,2,4,5,1,3]=>[5,2,3,6,4,1]
[6,2,4,5,3,1]=>[3,6,2,5,4,1]
[6,2,5,1,3,4]=>[2,4,5,6,3,1]
[6,2,5,1,4,3]=>[6,2,4,5,3,1]
[6,2,5,3,1,4]=>[5,2,4,6,3,1]
[6,2,5,3,4,1]=>[4,6,2,5,3,1]
[6,2,5,4,1,3]=>[5,6,2,4,3,1]
[6,2,5,4,3,1]=>[6,5,2,4,3,1]
[6,3,1,2,4,5]=>[3,4,2,5,6,1]
[6,3,1,2,5,4]=>[6,3,2,4,5,1]
[6,3,1,4,2,5]=>[5,3,2,4,6,1]
[6,3,1,4,5,2]=>[4,2,6,3,5,1]
[6,3,1,5,2,4]=>[5,2,6,3,4,1]
[6,3,1,5,4,2]=>[2,6,5,3,4,1]
[6,3,2,1,4,5]=>[4,3,2,5,6,1]
[6,3,2,1,5,4]=>[3,2,6,4,5,1]
[6,3,2,4,1,5]=>[3,2,5,4,6,1]
[6,3,2,4,5,1]=>[3,2,4,6,5,1]
[6,3,2,5,1,4]=>[3,2,5,6,4,1]
[6,3,2,5,4,1]=>[2,6,3,5,4,1]
[6,3,4,1,2,5]=>[4,2,5,3,6,1]
[6,3,4,1,5,2]=>[2,6,4,3,5,1]
[6,3,4,2,1,5]=>[2,5,4,3,6,1]
[6,3,4,2,5,1]=>[2,4,3,6,5,1]
[6,3,4,5,1,2]=>[2,5,3,6,4,1]
[6,3,4,5,2,1]=>[2,3,6,5,4,1]
[6,3,5,1,2,4]=>[4,2,5,6,3,1]
[6,3,5,1,4,2]=>[2,6,4,5,3,1]
[6,3,5,2,1,4]=>[2,5,4,6,3,1]
[6,3,5,2,4,1]=>[2,4,6,5,3,1]
[6,3,5,4,1,2]=>[2,5,6,4,3,1]
[6,3,5,4,2,1]=>[6,2,5,4,3,1]
[6,4,1,2,3,5]=>[3,4,5,2,6,1]
[6,4,1,2,5,3]=>[6,3,4,2,5,1]
[6,4,1,3,2,5]=>[5,3,4,2,6,1]
[6,4,1,3,5,2]=>[4,6,3,2,5,1]
[6,4,1,5,2,3]=>[5,6,3,2,4,1]
[6,4,1,5,3,2]=>[6,5,3,2,4,1]
[6,4,2,1,3,5]=>[4,3,5,2,6,1]
[6,4,2,1,5,3]=>[3,6,4,2,5,1]
[6,4,2,3,1,5]=>[3,5,4,2,6,1]
[6,4,2,3,5,1]=>[3,4,2,6,5,1]
[6,4,2,5,1,3]=>[3,5,2,6,4,1]
[6,4,2,5,3,1]=>[6,3,2,5,4,1]
[6,4,3,1,2,5]=>[4,5,3,2,6,1]
[6,4,3,1,5,2]=>[6,4,3,2,5,1]
[6,4,3,2,1,5]=>[5,4,3,2,6,1]
[6,4,3,2,5,1]=>[4,3,2,6,5,1]
[6,4,3,5,1,2]=>[5,3,2,6,4,1]
[6,4,3,5,2,1]=>[3,2,6,5,4,1]
[6,4,5,1,2,3]=>[4,5,2,6,3,1]
[6,4,5,1,3,2]=>[6,4,2,5,3,1]
[6,4,5,2,1,3]=>[5,4,2,6,3,1]
[6,4,5,2,3,1]=>[4,2,6,5,3,1]
[6,4,5,3,1,2]=>[5,2,6,4,3,1]
[6,4,5,3,2,1]=>[2,6,5,4,3,1]
[6,5,1,2,3,4]=>[3,4,5,6,2,1]
[6,5,1,2,4,3]=>[6,3,4,5,2,1]
[6,5,1,3,2,4]=>[5,3,4,6,2,1]
[6,5,1,3,4,2]=>[4,6,3,5,2,1]
[6,5,1,4,2,3]=>[5,6,3,4,2,1]
[6,5,1,4,3,2]=>[6,5,3,4,2,1]
[6,5,2,1,3,4]=>[4,3,5,6,2,1]
[6,5,2,1,4,3]=>[3,6,4,5,2,1]
[6,5,2,3,1,4]=>[3,5,4,6,2,1]
[6,5,2,3,4,1]=>[3,4,6,5,2,1]
[6,5,2,4,1,3]=>[3,5,6,4,2,1]
[6,5,2,4,3,1]=>[6,3,5,4,2,1]
[6,5,3,1,2,4]=>[4,5,3,6,2,1]
[6,5,3,1,4,2]=>[6,4,3,5,2,1]
[6,5,3,2,1,4]=>[5,4,3,6,2,1]
[6,5,3,2,4,1]=>[4,3,6,5,2,1]
[6,5,3,4,1,2]=>[5,3,6,4,2,1]
[6,5,3,4,2,1]=>[3,6,5,4,2,1]
[6,5,4,1,2,3]=>[4,5,6,3,2,1]
[6,5,4,1,3,2]=>[6,4,5,3,2,1]
[6,5,4,2,1,3]=>[5,4,6,3,2,1]
[6,5,4,2,3,1]=>[4,6,5,3,2,1]
[6,5,4,3,1,2]=>[5,6,4,3,2,1]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]
[1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]
[1,2,3,4,6,7,5]=>[5,7,1,2,3,4,6]
[1,2,3,4,7,5,6]=>[6,7,1,2,3,4,5]
[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]
[1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]
[1,2,3,5,4,7,6]=>[4,7,1,2,3,5,6]
[1,2,3,5,6,4,7]=>[4,6,1,2,3,5,7]
[1,2,3,5,6,7,4]=>[4,5,7,1,2,3,6]
[1,2,3,5,7,4,6]=>[4,6,7,1,2,3,5]
[1,2,3,5,7,6,4]=>[7,4,6,1,2,3,5]
[1,2,3,6,4,5,7]=>[5,6,1,2,3,4,7]
[1,2,3,6,4,7,5]=>[7,5,1,2,3,4,6]
[1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]
[1,2,3,6,5,7,4]=>[5,4,7,1,2,3,6]
[1,2,3,6,7,4,5]=>[6,4,7,1,2,3,5]
[1,2,3,6,7,5,4]=>[4,7,6,1,2,3,5]
[1,2,3,7,4,5,6]=>[5,6,7,1,2,3,4]
[1,2,3,7,4,6,5]=>[7,5,6,1,2,3,4]
[1,2,3,7,5,4,6]=>[6,5,7,1,2,3,4]
[1,2,3,7,5,6,4]=>[5,7,6,1,2,3,4]
[1,2,3,7,6,4,5]=>[6,7,5,1,2,3,4]
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]
[1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]
[1,2,4,3,5,7,6]=>[3,7,1,2,4,5,6]
[1,2,4,3,6,5,7]=>[3,6,1,2,4,5,7]
[1,2,4,3,6,7,5]=>[3,5,7,1,2,4,6]
[1,2,4,3,7,5,6]=>[3,6,7,1,2,4,5]
[1,2,4,3,7,6,5]=>[7,3,6,1,2,4,5]
[1,2,4,5,3,6,7]=>[3,5,1,2,4,6,7]
[1,2,4,5,3,7,6]=>[3,4,7,1,2,5,6]
[1,2,4,5,6,3,7]=>[3,4,6,1,2,5,7]
[1,2,4,5,6,7,3]=>[3,4,5,7,1,2,6]
[1,2,4,5,7,3,6]=>[3,4,6,7,1,2,5]
[1,2,4,5,7,6,3]=>[7,3,4,6,1,2,5]
[1,2,4,6,3,5,7]=>[3,5,6,1,2,4,7]
[1,2,4,6,3,7,5]=>[7,3,5,1,2,4,6]
[1,2,4,6,5,3,7]=>[6,3,5,1,2,4,7]
[1,2,4,6,5,7,3]=>[5,3,4,7,1,2,6]
[1,2,4,6,7,3,5]=>[6,3,4,7,1,2,5]
[1,2,4,6,7,5,3]=>[4,7,3,6,1,2,5]
[1,2,4,7,3,5,6]=>[3,5,6,7,1,2,4]
[1,2,4,7,3,6,5]=>[7,3,5,6,1,2,4]
[1,2,4,7,5,3,6]=>[6,3,5,7,1,2,4]
[1,2,4,7,5,6,3]=>[5,7,3,6,1,2,4]
[1,2,4,7,6,3,5]=>[6,7,3,5,1,2,4]
[1,2,4,7,6,5,3]=>[7,6,3,5,1,2,4]
[1,2,5,3,4,6,7]=>[4,5,1,2,3,6,7]
[1,2,5,3,4,7,6]=>[7,4,1,2,3,5,6]
[1,2,5,3,6,4,7]=>[6,4,1,2,3,5,7]
[1,2,5,3,6,7,4]=>[5,3,7,1,2,4,6]
[1,2,5,3,7,4,6]=>[6,3,7,1,2,4,5]
[1,2,5,3,7,6,4]=>[3,7,6,1,2,4,5]
[1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]
[1,2,5,4,3,7,6]=>[4,3,7,1,2,5,6]
[1,2,5,4,6,3,7]=>[4,3,6,1,2,5,7]
[1,2,5,4,6,7,3]=>[4,3,5,7,1,2,6]
[1,2,5,4,7,3,6]=>[4,3,6,7,1,2,5]
[1,2,5,4,7,6,3]=>[3,7,4,6,1,2,5]
[1,2,5,6,3,4,7]=>[5,3,6,1,2,4,7]
[1,2,5,6,3,7,4]=>[3,7,5,1,2,4,6]
[1,2,5,6,4,3,7]=>[3,6,5,1,2,4,7]
[1,2,5,6,4,7,3]=>[3,5,4,7,1,2,6]
[1,2,5,6,7,3,4]=>[3,6,4,7,1,2,5]
[1,2,5,6,7,4,3]=>[3,4,7,6,1,2,5]
[1,2,5,7,3,4,6]=>[5,3,6,7,1,2,4]
[1,2,5,7,3,6,4]=>[3,7,5,6,1,2,4]
[1,2,5,7,4,3,6]=>[3,6,5,7,1,2,4]
[1,2,5,7,4,6,3]=>[3,5,7,6,1,2,4]
[1,2,5,7,6,3,4]=>[3,6,7,5,1,2,4]
[1,2,5,7,6,4,3]=>[7,3,6,5,1,2,4]
[1,2,6,3,4,5,7]=>[4,5,6,1,2,3,7]
[1,2,6,3,4,7,5]=>[7,4,5,1,2,3,6]
[1,2,6,3,5,4,7]=>[6,4,5,1,2,3,7]
[1,2,6,3,5,7,4]=>[5,7,4,1,2,3,6]
[1,2,6,3,7,4,5]=>[6,7,4,1,2,3,5]
[1,2,6,3,7,5,4]=>[7,6,4,1,2,3,5]
[1,2,6,4,3,5,7]=>[5,4,6,1,2,3,7]
[1,2,6,4,3,7,5]=>[4,7,5,1,2,3,6]
[1,2,6,4,5,3,7]=>[4,6,5,1,2,3,7]
[1,2,6,4,5,7,3]=>[4,5,3,7,1,2,6]
[1,2,6,4,7,3,5]=>[4,6,3,7,1,2,5]
[1,2,6,4,7,5,3]=>[7,4,3,6,1,2,5]
[1,2,6,5,3,4,7]=>[5,6,4,1,2,3,7]
[1,2,6,5,3,7,4]=>[7,5,4,1,2,3,6]
[1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]
[1,2,6,5,4,7,3]=>[5,4,3,7,1,2,6]
[1,2,6,5,7,3,4]=>[6,4,3,7,1,2,5]
[1,2,6,5,7,4,3]=>[4,3,7,6,1,2,5]
[1,2,6,7,3,4,5]=>[5,6,3,7,1,2,4]
[1,2,6,7,3,5,4]=>[7,5,3,6,1,2,4]
[1,2,6,7,4,3,5]=>[6,5,3,7,1,2,4]
[1,2,6,7,4,5,3]=>[5,3,7,6,1,2,4]
[1,2,6,7,5,3,4]=>[6,3,7,5,1,2,4]
[1,2,6,7,5,4,3]=>[3,7,6,5,1,2,4]
[1,2,7,3,4,5,6]=>[4,5,6,7,1,2,3]
[1,2,7,3,4,6,5]=>[7,4,5,6,1,2,3]
[1,2,7,3,5,4,6]=>[6,4,5,7,1,2,3]
[1,2,7,3,5,6,4]=>[5,7,4,6,1,2,3]
[1,2,7,3,6,4,5]=>[6,7,4,5,1,2,3]
[1,2,7,3,6,5,4]=>[7,6,4,5,1,2,3]
[1,2,7,4,3,5,6]=>[5,4,6,7,1,2,3]
[1,2,7,4,3,6,5]=>[4,7,5,6,1,2,3]
[1,2,7,4,5,3,6]=>[4,6,5,7,1,2,3]
[1,2,7,4,5,6,3]=>[4,5,7,6,1,2,3]
[1,2,7,4,6,3,5]=>[4,6,7,5,1,2,3]
[1,2,7,4,6,5,3]=>[7,4,6,5,1,2,3]
[1,2,7,5,3,4,6]=>[5,6,4,7,1,2,3]
[1,2,7,5,3,6,4]=>[7,5,4,6,1,2,3]
[1,2,7,5,4,3,6]=>[6,5,4,7,1,2,3]
[1,2,7,5,4,6,3]=>[5,4,7,6,1,2,3]
[1,2,7,5,6,3,4]=>[6,4,7,5,1,2,3]
[1,2,7,5,6,4,3]=>[4,7,6,5,1,2,3]
[1,2,7,6,3,4,5]=>[5,6,7,4,1,2,3]
[1,2,7,6,3,5,4]=>[7,5,6,4,1,2,3]
[1,2,7,6,4,3,5]=>[6,5,7,4,1,2,3]
[1,2,7,6,4,5,3]=>[5,7,6,4,1,2,3]
[1,2,7,6,5,3,4]=>[6,7,5,4,1,2,3]
[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]
[1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[1,3,2,4,5,7,6]=>[2,7,1,3,4,5,6]
[1,3,2,4,6,5,7]=>[2,6,1,3,4,5,7]
[1,3,2,4,6,7,5]=>[2,5,7,1,3,4,6]
[1,3,2,4,7,5,6]=>[2,6,7,1,3,4,5]
[1,3,2,4,7,6,5]=>[7,2,6,1,3,4,5]
[1,3,2,5,4,6,7]=>[2,5,1,3,4,6,7]
[1,3,2,5,4,7,6]=>[2,4,7,1,3,5,6]
[1,3,2,5,6,4,7]=>[2,4,6,1,3,5,7]
[1,3,2,5,6,7,4]=>[2,4,5,7,1,3,6]
[1,3,2,5,7,4,6]=>[2,4,6,7,1,3,5]
[1,3,2,5,7,6,4]=>[7,2,4,6,1,3,5]
[1,3,2,6,4,5,7]=>[2,5,6,1,3,4,7]
[1,3,2,6,4,7,5]=>[7,2,5,1,3,4,6]
[1,3,2,6,5,4,7]=>[6,2,5,1,3,4,7]
[1,3,2,6,5,7,4]=>[5,2,4,7,1,3,6]
[1,3,2,6,7,4,5]=>[6,2,4,7,1,3,5]
[1,3,2,6,7,5,4]=>[4,7,2,6,1,3,5]
[1,3,2,7,4,5,6]=>[2,5,6,7,1,3,4]
[1,3,2,7,4,6,5]=>[7,2,5,6,1,3,4]
[1,3,2,7,5,4,6]=>[6,2,5,7,1,3,4]
[1,3,2,7,5,6,4]=>[5,7,2,6,1,3,4]
[1,3,2,7,6,4,5]=>[6,7,2,5,1,3,4]
[1,3,2,7,6,5,4]=>[7,6,2,5,1,3,4]
[1,3,4,2,5,6,7]=>[2,4,1,3,5,6,7]
[1,3,4,2,5,7,6]=>[2,3,7,1,4,5,6]
[1,3,4,2,6,5,7]=>[2,3,6,1,4,5,7]
[1,3,4,2,6,7,5]=>[2,3,5,7,1,4,6]
[1,3,4,2,7,5,6]=>[2,3,6,7,1,4,5]
[1,3,4,2,7,6,5]=>[7,2,3,6,1,4,5]
[1,3,4,5,2,6,7]=>[2,3,5,1,4,6,7]
[1,3,4,5,2,7,6]=>[2,3,4,7,1,5,6]
[1,3,4,5,6,2,7]=>[2,3,4,6,1,5,7]
[1,3,4,5,6,7,2]=>[2,3,4,5,7,1,6]
[1,3,4,5,7,2,6]=>[2,3,4,6,7,1,5]
[1,3,4,5,7,6,2]=>[7,2,3,4,6,1,5]
[1,3,4,6,2,5,7]=>[2,3,5,6,1,4,7]
[1,3,4,6,2,7,5]=>[7,2,3,5,1,4,6]
[1,3,4,6,5,2,7]=>[6,2,3,5,1,4,7]
[1,3,4,6,5,7,2]=>[5,2,3,4,7,1,6]
[1,3,4,6,7,2,5]=>[6,2,3,4,7,1,5]
[1,3,4,6,7,5,2]=>[4,7,2,3,6,1,5]
[1,3,4,7,2,5,6]=>[2,3,5,6,7,1,4]
[1,3,4,7,2,6,5]=>[7,2,3,5,6,1,4]
[1,3,4,7,5,2,6]=>[6,2,3,5,7,1,4]
[1,3,4,7,5,6,2]=>[5,7,2,3,6,1,4]
[1,3,4,7,6,2,5]=>[6,7,2,3,5,1,4]
[1,3,4,7,6,5,2]=>[7,6,2,3,5,1,4]
[1,3,5,2,4,6,7]=>[2,4,5,1,3,6,7]
[1,3,5,2,4,7,6]=>[7,2,4,1,3,5,6]
[1,3,5,2,6,4,7]=>[6,2,4,1,3,5,7]
[1,3,5,2,6,7,4]=>[5,2,3,7,1,4,6]
[1,3,5,2,7,4,6]=>[6,2,3,7,1,4,5]
[1,3,5,2,7,6,4]=>[3,7,2,6,1,4,5]
[1,3,5,4,2,6,7]=>[5,2,4,1,3,6,7]
[1,3,5,4,2,7,6]=>[4,2,3,7,1,5,6]
[1,3,5,4,6,2,7]=>[4,2,3,6,1,5,7]
[1,3,5,4,6,7,2]=>[4,2,3,5,7,1,6]
[1,3,5,4,7,2,6]=>[4,2,3,6,7,1,5]
[1,3,5,4,7,6,2]=>[3,7,2,4,6,1,5]
[1,3,5,6,2,4,7]=>[5,2,3,6,1,4,7]
[1,3,5,6,2,7,4]=>[3,7,2,5,1,4,6]
[1,3,5,6,4,2,7]=>[3,6,2,5,1,4,7]
[1,3,5,6,4,7,2]=>[3,5,2,4,7,1,6]
[1,3,5,6,7,2,4]=>[3,6,2,4,7,1,5]
[1,3,5,6,7,4,2]=>[3,4,7,2,6,1,5]
[1,3,5,7,2,4,6]=>[5,2,3,6,7,1,4]
[1,3,5,7,2,6,4]=>[3,7,2,5,6,1,4]
[1,3,5,7,4,2,6]=>[3,6,2,5,7,1,4]
[1,3,5,7,4,6,2]=>[3,5,7,2,6,1,4]
[1,3,5,7,6,2,4]=>[3,6,7,2,5,1,4]
[1,3,5,7,6,4,2]=>[7,3,6,2,5,1,4]
[1,3,6,2,4,5,7]=>[2,4,5,6,1,3,7]
[1,3,6,2,4,7,5]=>[7,2,4,5,1,3,6]
[1,3,6,2,5,4,7]=>[6,2,4,5,1,3,7]
[1,3,6,2,5,7,4]=>[5,7,2,4,1,3,6]
[1,3,6,2,7,4,5]=>[6,7,2,4,1,3,5]
[1,3,6,2,7,5,4]=>[7,6,2,4,1,3,5]
[1,3,6,4,2,5,7]=>[5,2,4,6,1,3,7]
[1,3,6,4,2,7,5]=>[4,7,2,5,1,3,6]
[1,3,6,4,5,2,7]=>[4,6,2,5,1,3,7]
[1,3,6,4,5,7,2]=>[4,5,2,3,7,1,6]
[1,3,6,4,7,2,5]=>[4,6,2,3,7,1,5]
[1,3,6,4,7,5,2]=>[7,4,2,3,6,1,5]
[1,3,6,5,2,4,7]=>[5,6,2,4,1,3,7]
[1,3,6,5,2,7,4]=>[7,5,2,4,1,3,6]
[1,3,6,5,4,2,7]=>[6,5,2,4,1,3,7]
[1,3,6,5,4,7,2]=>[5,4,2,3,7,1,6]
[1,3,6,5,7,2,4]=>[6,4,2,3,7,1,5]
[1,3,6,5,7,4,2]=>[4,3,7,2,6,1,5]
[1,3,6,7,2,4,5]=>[5,6,2,3,7,1,4]
[1,3,6,7,2,5,4]=>[7,5,2,3,6,1,4]
[1,3,6,7,4,2,5]=>[6,5,2,3,7,1,4]
[1,3,6,7,4,5,2]=>[5,3,7,2,6,1,4]
[1,3,6,7,5,2,4]=>[6,3,7,2,5,1,4]
[1,3,6,7,5,4,2]=>[3,7,6,2,5,1,4]
[1,3,7,2,4,5,6]=>[2,4,5,6,7,1,3]
[1,3,7,2,4,6,5]=>[7,2,4,5,6,1,3]
[1,3,7,2,5,4,6]=>[6,2,4,5,7,1,3]
[1,3,7,2,5,6,4]=>[5,7,2,4,6,1,3]
[1,3,7,2,6,4,5]=>[6,7,2,4,5,1,3]
[1,3,7,2,6,5,4]=>[7,6,2,4,5,1,3]
[1,3,7,4,2,5,6]=>[5,2,4,6,7,1,3]
[1,3,7,4,2,6,5]=>[4,7,2,5,6,1,3]
[1,3,7,4,5,2,6]=>[4,6,2,5,7,1,3]
[1,3,7,4,5,6,2]=>[4,5,7,2,6,1,3]
[1,3,7,4,6,2,5]=>[4,6,7,2,5,1,3]
[1,3,7,4,6,5,2]=>[7,4,6,2,5,1,3]
[1,3,7,5,2,4,6]=>[5,6,2,4,7,1,3]
[1,3,7,5,2,6,4]=>[7,5,2,4,6,1,3]
[1,3,7,5,4,2,6]=>[6,5,2,4,7,1,3]
[1,3,7,5,4,6,2]=>[5,4,7,2,6,1,3]
[1,3,7,5,6,2,4]=>[6,4,7,2,5,1,3]
[1,3,7,5,6,4,2]=>[4,7,6,2,5,1,3]
[1,3,7,6,2,4,5]=>[5,6,7,2,4,1,3]
[1,3,7,6,2,5,4]=>[7,5,6,2,4,1,3]
[1,3,7,6,4,2,5]=>[6,5,7,2,4,1,3]
[1,3,7,6,4,5,2]=>[5,7,6,2,4,1,3]
[1,3,7,6,5,2,4]=>[6,7,5,2,4,1,3]
[1,3,7,6,5,4,2]=>[7,6,5,2,4,1,3]
[1,4,2,3,5,6,7]=>[3,4,1,2,5,6,7]
[1,4,2,3,5,7,6]=>[7,3,1,2,4,5,6]
[1,4,2,3,6,5,7]=>[6,3,1,2,4,5,7]
[1,4,2,3,6,7,5]=>[5,2,7,1,3,4,6]
[1,4,2,3,7,5,6]=>[6,2,7,1,3,4,5]
[1,4,2,3,7,6,5]=>[2,7,6,1,3,4,5]
[1,4,2,5,3,6,7]=>[5,3,1,2,4,6,7]
[1,4,2,5,3,7,6]=>[4,2,7,1,3,5,6]
[1,4,2,5,6,3,7]=>[4,2,6,1,3,5,7]
[1,4,2,5,6,7,3]=>[4,2,5,7,1,3,6]
[1,4,2,5,7,3,6]=>[4,2,6,7,1,3,5]
[1,4,2,5,7,6,3]=>[2,7,4,6,1,3,5]
[1,4,2,6,3,5,7]=>[5,2,6,1,3,4,7]
[1,4,2,6,3,7,5]=>[2,7,5,1,3,4,6]
[1,4,2,6,5,3,7]=>[2,6,5,1,3,4,7]
[1,4,2,6,5,7,3]=>[2,5,4,7,1,3,6]
[1,4,2,6,7,3,5]=>[2,6,4,7,1,3,5]
[1,4,2,6,7,5,3]=>[2,4,7,6,1,3,5]
[1,4,2,7,3,5,6]=>[5,2,6,7,1,3,4]
[1,4,2,7,3,6,5]=>[2,7,5,6,1,3,4]
[1,4,2,7,5,3,6]=>[2,6,5,7,1,3,4]
[1,4,2,7,5,6,3]=>[2,5,7,6,1,3,4]
[1,4,2,7,6,3,5]=>[2,6,7,5,1,3,4]
[1,4,2,7,6,5,3]=>[7,2,6,5,1,3,4]
[1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]
[1,4,3,2,5,7,6]=>[3,2,7,1,4,5,6]
[1,4,3,2,6,5,7]=>[3,2,6,1,4,5,7]
[1,4,3,2,6,7,5]=>[3,2,5,7,1,4,6]
[1,4,3,2,7,5,6]=>[3,2,6,7,1,4,5]
[1,4,3,2,7,6,5]=>[2,7,3,6,1,4,5]
[1,4,3,5,2,6,7]=>[3,2,5,1,4,6,7]
[1,4,3,5,2,7,6]=>[3,2,4,7,1,5,6]
[1,4,3,5,6,2,7]=>[3,2,4,6,1,5,7]
[1,4,3,5,6,7,2]=>[3,2,4,5,7,1,6]
[1,4,3,5,7,2,6]=>[3,2,4,6,7,1,5]
[1,4,3,5,7,6,2]=>[2,7,3,4,6,1,5]
[1,4,3,6,2,5,7]=>[3,2,5,6,1,4,7]
[1,4,3,6,2,7,5]=>[2,7,3,5,1,4,6]
[1,4,3,6,5,2,7]=>[2,6,3,5,1,4,7]
[1,4,3,6,5,7,2]=>[2,5,3,4,7,1,6]
[1,4,3,6,7,2,5]=>[2,6,3,4,7,1,5]
[1,4,3,6,7,5,2]=>[2,4,7,3,6,1,5]
[1,4,3,7,2,5,6]=>[3,2,5,6,7,1,4]
[1,4,3,7,2,6,5]=>[2,7,3,5,6,1,4]
[1,4,3,7,5,2,6]=>[2,6,3,5,7,1,4]
[1,4,3,7,5,6,2]=>[2,5,7,3,6,1,4]
[1,4,3,7,6,2,5]=>[2,6,7,3,5,1,4]
[1,4,3,7,6,5,2]=>[7,2,6,3,5,1,4]
[1,4,5,2,3,6,7]=>[4,2,5,1,3,6,7]
[1,4,5,2,3,7,6]=>[2,7,4,1,3,5,6]
[1,4,5,2,6,3,7]=>[2,6,4,1,3,5,7]
[1,4,5,2,6,7,3]=>[2,5,3,7,1,4,6]
[1,4,5,2,7,3,6]=>[2,6,3,7,1,4,5]
[1,4,5,2,7,6,3]=>[2,3,7,6,1,4,5]
[1,4,5,3,2,6,7]=>[2,5,4,1,3,6,7]
[1,4,5,3,2,7,6]=>[2,4,3,7,1,5,6]
[1,4,5,3,6,2,7]=>[2,4,3,6,1,5,7]
[1,4,5,3,6,7,2]=>[2,4,3,5,7,1,6]
[1,4,5,3,7,2,6]=>[2,4,3,6,7,1,5]
[1,4,5,3,7,6,2]=>[2,3,7,4,6,1,5]
[1,4,5,6,2,3,7]=>[2,5,3,6,1,4,7]
[1,4,5,6,2,7,3]=>[2,3,7,5,1,4,6]
[1,4,5,6,3,2,7]=>[2,3,6,5,1,4,7]
[1,4,5,6,3,7,2]=>[2,3,5,4,7,1,6]
[1,4,5,6,7,2,3]=>[2,3,6,4,7,1,5]
[1,4,5,6,7,3,2]=>[2,3,4,7,6,1,5]
[1,4,5,7,2,3,6]=>[2,5,3,6,7,1,4]
[1,4,5,7,2,6,3]=>[2,3,7,5,6,1,4]
[1,4,5,7,3,2,6]=>[2,3,6,5,7,1,4]
[1,4,5,7,3,6,2]=>[2,3,5,7,6,1,4]
[1,4,5,7,6,2,3]=>[2,3,6,7,5,1,4]
[1,4,5,7,6,3,2]=>[7,2,3,6,5,1,4]
[1,4,6,2,3,5,7]=>[4,2,5,6,1,3,7]
[1,4,6,2,3,7,5]=>[2,7,4,5,1,3,6]
[1,4,6,2,5,3,7]=>[2,6,4,5,1,3,7]
[1,4,6,2,5,7,3]=>[2,5,7,4,1,3,6]
[1,4,6,2,7,3,5]=>[2,6,7,4,1,3,5]
[1,4,6,2,7,5,3]=>[7,2,6,4,1,3,5]
[1,4,6,3,2,5,7]=>[2,5,4,6,1,3,7]
[1,4,6,3,2,7,5]=>[2,4,7,5,1,3,6]
[1,4,6,3,5,2,7]=>[2,4,6,5,1,3,7]
[1,4,6,3,5,7,2]=>[2,4,5,3,7,1,6]
[1,4,6,3,7,2,5]=>[2,4,6,3,7,1,5]
[1,4,6,3,7,5,2]=>[7,2,4,3,6,1,5]
[1,4,6,5,2,3,7]=>[2,5,6,4,1,3,7]
[1,4,6,5,2,7,3]=>[7,2,5,4,1,3,6]
[1,4,6,5,3,2,7]=>[6,2,5,4,1,3,7]
[1,4,6,5,3,7,2]=>[5,2,4,3,7,1,6]
[1,4,6,5,7,2,3]=>[6,2,4,3,7,1,5]
[1,4,6,5,7,3,2]=>[4,2,3,7,6,1,5]
[1,4,6,7,2,3,5]=>[2,5,6,3,7,1,4]
[1,4,6,7,2,5,3]=>[7,2,5,3,6,1,4]
[1,4,6,7,3,2,5]=>[6,2,5,3,7,1,4]
[1,4,6,7,3,5,2]=>[5,2,3,7,6,1,4]
[1,4,6,7,5,2,3]=>[6,2,3,7,5,1,4]
[1,4,6,7,5,3,2]=>[3,7,2,6,5,1,4]
[1,4,7,2,3,5,6]=>[4,2,5,6,7,1,3]
[1,4,7,2,3,6,5]=>[2,7,4,5,6,1,3]
[1,4,7,2,5,3,6]=>[2,6,4,5,7,1,3]
[1,4,7,2,5,6,3]=>[2,5,7,4,6,1,3]
[1,4,7,2,6,3,5]=>[2,6,7,4,5,1,3]
[1,4,7,2,6,5,3]=>[7,2,6,4,5,1,3]
[1,4,7,3,2,5,6]=>[2,5,4,6,7,1,3]
[1,4,7,3,2,6,5]=>[2,4,7,5,6,1,3]
[1,4,7,3,5,2,6]=>[2,4,6,5,7,1,3]
[1,4,7,3,5,6,2]=>[2,4,5,7,6,1,3]
[1,4,7,3,6,2,5]=>[2,4,6,7,5,1,3]
[1,4,7,3,6,5,2]=>[7,2,4,6,5,1,3]
[1,4,7,5,2,3,6]=>[2,5,6,4,7,1,3]
[1,4,7,5,2,6,3]=>[7,2,5,4,6,1,3]
[1,4,7,5,3,2,6]=>[6,2,5,4,7,1,3]
[1,4,7,5,3,6,2]=>[5,2,4,7,6,1,3]
[1,4,7,5,6,2,3]=>[6,2,4,7,5,1,3]
[1,4,7,5,6,3,2]=>[4,7,2,6,5,1,3]
[1,4,7,6,2,3,5]=>[2,5,6,7,4,1,3]
[1,4,7,6,2,5,3]=>[7,2,5,6,4,1,3]
[1,4,7,6,3,2,5]=>[6,2,5,7,4,1,3]
[1,4,7,6,3,5,2]=>[5,7,2,6,4,1,3]
[1,4,7,6,5,2,3]=>[6,7,2,5,4,1,3]
[1,4,7,6,5,3,2]=>[7,6,2,5,4,1,3]
[1,5,2,3,4,6,7]=>[3,4,5,1,2,6,7]
[1,5,2,3,4,7,6]=>[7,3,4,1,2,5,6]
[1,5,2,3,6,4,7]=>[6,3,4,1,2,5,7]
[1,5,2,3,6,7,4]=>[5,7,3,1,2,4,6]
[1,5,2,3,7,4,6]=>[6,7,3,1,2,4,5]
[1,5,2,3,7,6,4]=>[7,6,3,1,2,4,5]
[1,5,2,4,3,6,7]=>[5,3,4,1,2,6,7]
[1,5,2,4,3,7,6]=>[4,7,3,1,2,5,6]
[1,5,2,4,6,3,7]=>[4,6,3,1,2,5,7]
[1,5,2,4,6,7,3]=>[4,5,2,7,1,3,6]
[1,5,2,4,7,3,6]=>[4,6,2,7,1,3,5]
[1,5,2,4,7,6,3]=>[7,4,2,6,1,3,5]
[1,5,2,6,3,4,7]=>[5,6,3,1,2,4,7]
[1,5,2,6,3,7,4]=>[7,5,3,1,2,4,6]
[1,5,2,6,4,3,7]=>[6,5,3,1,2,4,7]
[1,5,2,6,4,7,3]=>[5,4,2,7,1,3,6]
[1,5,2,6,7,3,4]=>[6,4,2,7,1,3,5]
[1,5,2,6,7,4,3]=>[4,2,7,6,1,3,5]
[1,5,2,7,3,4,6]=>[5,6,2,7,1,3,4]
[1,5,2,7,3,6,4]=>[7,5,2,6,1,3,4]
[1,5,2,7,4,3,6]=>[6,5,2,7,1,3,4]
[1,5,2,7,4,6,3]=>[5,2,7,6,1,3,4]
[1,5,2,7,6,3,4]=>[6,2,7,5,1,3,4]
[1,5,2,7,6,4,3]=>[2,7,6,5,1,3,4]
[1,5,3,2,4,6,7]=>[4,3,5,1,2,6,7]
[1,5,3,2,4,7,6]=>[3,7,4,1,2,5,6]
[1,5,3,2,6,4,7]=>[3,6,4,1,2,5,7]
[1,5,3,2,6,7,4]=>[3,5,2,7,1,4,6]
[1,5,3,2,7,4,6]=>[3,6,2,7,1,4,5]
[1,5,3,2,7,6,4]=>[7,3,2,6,1,4,5]
[1,5,3,4,2,6,7]=>[3,5,4,1,2,6,7]
[1,5,3,4,2,7,6]=>[3,4,2,7,1,5,6]
[1,5,3,4,6,2,7]=>[3,4,2,6,1,5,7]
[1,5,3,4,6,7,2]=>[3,4,2,5,7,1,6]
[1,5,3,4,7,2,6]=>[3,4,2,6,7,1,5]
[1,5,3,4,7,6,2]=>[7,3,2,4,6,1,5]
[1,5,3,6,2,4,7]=>[3,5,2,6,1,4,7]
[1,5,3,6,2,7,4]=>[7,3,2,5,1,4,6]
[1,5,3,6,4,2,7]=>[6,3,2,5,1,4,7]
[1,5,3,6,4,7,2]=>[5,3,2,4,7,1,6]
[1,5,3,6,7,2,4]=>[6,3,2,4,7,1,5]
[1,5,3,6,7,4,2]=>[4,2,7,3,6,1,5]
[1,5,3,7,2,4,6]=>[3,5,2,6,7,1,4]
[1,5,3,7,2,6,4]=>[7,3,2,5,6,1,4]
[1,5,3,7,4,2,6]=>[6,3,2,5,7,1,4]
[1,5,3,7,4,6,2]=>[5,2,7,3,6,1,4]
[1,5,3,7,6,2,4]=>[6,2,7,3,5,1,4]
[1,5,3,7,6,4,2]=>[2,7,6,3,5,1,4]
[1,5,4,2,3,6,7]=>[4,5,3,1,2,6,7]
[1,5,4,2,3,7,6]=>[7,4,3,1,2,5,6]
[1,5,4,2,6,3,7]=>[6,4,3,1,2,5,7]
[1,5,4,2,6,7,3]=>[5,3,2,7,1,4,6]
[1,5,4,2,7,3,6]=>[6,3,2,7,1,4,5]
[1,5,4,2,7,6,3]=>[3,2,7,6,1,4,5]
[1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]
[1,5,4,3,2,7,6]=>[4,3,2,7,1,5,6]
[1,5,4,3,6,2,7]=>[4,3,2,6,1,5,7]
[1,5,4,3,6,7,2]=>[4,3,2,5,7,1,6]
[1,5,4,3,7,2,6]=>[4,3,2,6,7,1,5]
[1,5,4,3,7,6,2]=>[3,2,7,4,6,1,5]
[1,5,4,6,2,3,7]=>[5,3,2,6,1,4,7]
[1,5,4,6,2,7,3]=>[3,2,7,5,1,4,6]
[1,5,4,6,3,2,7]=>[3,2,6,5,1,4,7]
[1,5,4,6,3,7,2]=>[3,2,5,4,7,1,6]
[1,5,4,6,7,2,3]=>[3,2,6,4,7,1,5]
[1,5,4,6,7,3,2]=>[3,2,4,7,6,1,5]
[1,5,4,7,2,3,6]=>[5,3,2,6,7,1,4]
[1,5,4,7,2,6,3]=>[3,2,7,5,6,1,4]
[1,5,4,7,3,2,6]=>[3,2,6,5,7,1,4]
[1,5,4,7,3,6,2]=>[3,2,5,7,6,1,4]
[1,5,4,7,6,2,3]=>[3,2,6,7,5,1,4]
[1,5,4,7,6,3,2]=>[2,7,3,6,5,1,4]
[1,5,6,2,3,4,7]=>[4,5,2,6,1,3,7]
[1,5,6,2,3,7,4]=>[7,4,2,5,1,3,6]
[1,5,6,2,4,3,7]=>[6,4,2,5,1,3,7]
[1,5,6,2,4,7,3]=>[5,2,7,4,1,3,6]
[1,5,6,2,7,3,4]=>[6,2,7,4,1,3,5]
[1,5,6,2,7,4,3]=>[2,7,6,4,1,3,5]
[1,5,6,3,2,4,7]=>[5,4,2,6,1,3,7]
[1,5,6,3,2,7,4]=>[4,2,7,5,1,3,6]
[1,5,6,3,4,2,7]=>[4,2,6,5,1,3,7]
[1,5,6,3,4,7,2]=>[4,2,5,3,7,1,6]
[1,5,6,3,7,2,4]=>[4,2,6,3,7,1,5]
[1,5,6,3,7,4,2]=>[2,7,4,3,6,1,5]
[1,5,6,4,2,3,7]=>[5,2,6,4,1,3,7]
[1,5,6,4,2,7,3]=>[2,7,5,4,1,3,6]
[1,5,6,4,3,2,7]=>[2,6,5,4,1,3,7]
[1,5,6,4,3,7,2]=>[2,5,4,3,7,1,6]
[1,5,6,4,7,2,3]=>[2,6,4,3,7,1,5]
[1,5,6,4,7,3,2]=>[2,4,3,7,6,1,5]
[1,5,6,7,2,3,4]=>[5,2,6,3,7,1,4]
[1,5,6,7,2,4,3]=>[2,7,5,3,6,1,4]
[1,5,6,7,3,2,4]=>[2,6,5,3,7,1,4]
[1,5,6,7,3,4,2]=>[2,5,3,7,6,1,4]
[1,5,6,7,4,2,3]=>[2,6,3,7,5,1,4]
[1,5,6,7,4,3,2]=>[2,3,7,6,5,1,4]
[1,5,7,2,3,4,6]=>[4,5,2,6,7,1,3]
[1,5,7,2,3,6,4]=>[7,4,2,5,6,1,3]
[1,5,7,2,4,3,6]=>[6,4,2,5,7,1,3]
[1,5,7,2,4,6,3]=>[5,2,7,4,6,1,3]
[1,5,7,2,6,3,4]=>[6,2,7,4,5,1,3]
[1,5,7,2,6,4,3]=>[2,7,6,4,5,1,3]
[1,5,7,3,2,4,6]=>[5,4,2,6,7,1,3]
[1,5,7,3,2,6,4]=>[4,2,7,5,6,1,3]
[1,5,7,3,4,2,6]=>[4,2,6,5,7,1,3]
[1,5,7,3,4,6,2]=>[4,2,5,7,6,1,3]
[1,5,7,3,6,2,4]=>[4,2,6,7,5,1,3]
[1,5,7,3,6,4,2]=>[2,7,4,6,5,1,3]
[1,5,7,4,2,3,6]=>[5,2,6,4,7,1,3]
[1,5,7,4,2,6,3]=>[2,7,5,4,6,1,3]
[1,5,7,4,3,2,6]=>[2,6,5,4,7,1,3]
[1,5,7,4,3,6,2]=>[2,5,4,7,6,1,3]
[1,5,7,4,6,2,3]=>[2,6,4,7,5,1,3]
[1,5,7,4,6,3,2]=>[2,4,7,6,5,1,3]
[1,5,7,6,2,3,4]=>[5,2,6,7,4,1,3]
[1,5,7,6,2,4,3]=>[2,7,5,6,4,1,3]
[1,5,7,6,3,2,4]=>[2,6,5,7,4,1,3]
[1,5,7,6,3,4,2]=>[2,5,7,6,4,1,3]
[1,5,7,6,4,2,3]=>[2,6,7,5,4,1,3]
[1,5,7,6,4,3,2]=>[7,2,6,5,4,1,3]
[1,6,2,3,4,5,7]=>[3,4,5,6,1,2,7]
[1,6,2,3,4,7,5]=>[7,3,4,5,1,2,6]
[1,6,2,3,5,4,7]=>[6,3,4,5,1,2,7]
[1,6,2,3,5,7,4]=>[5,7,3,4,1,2,6]
[1,6,2,3,7,4,5]=>[6,7,3,4,1,2,5]
[1,6,2,3,7,5,4]=>[7,6,3,4,1,2,5]
[1,6,2,4,3,5,7]=>[5,3,4,6,1,2,7]
[1,6,2,4,3,7,5]=>[4,7,3,5,1,2,6]
[1,6,2,4,5,3,7]=>[4,6,3,5,1,2,7]
[1,6,2,4,5,7,3]=>[4,5,7,3,1,2,6]
[1,6,2,4,7,3,5]=>[4,6,7,3,1,2,5]
[1,6,2,4,7,5,3]=>[7,4,6,3,1,2,5]
[1,6,2,5,3,4,7]=>[5,6,3,4,1,2,7]
[1,6,2,5,3,7,4]=>[7,5,3,4,1,2,6]
[1,6,2,5,4,3,7]=>[6,5,3,4,1,2,7]
[1,6,2,5,4,7,3]=>[5,4,7,3,1,2,6]
[1,6,2,5,7,3,4]=>[6,4,7,3,1,2,5]
[1,6,2,5,7,4,3]=>[4,7,6,3,1,2,5]
[1,6,2,7,3,4,5]=>[5,6,7,3,1,2,4]
[1,6,2,7,3,5,4]=>[7,5,6,3,1,2,4]
[1,6,2,7,4,3,5]=>[6,5,7,3,1,2,4]
[1,6,2,7,4,5,3]=>[5,7,6,3,1,2,4]
[1,6,2,7,5,3,4]=>[6,7,5,3,1,2,4]
[1,6,2,7,5,4,3]=>[7,6,5,3,1,2,4]
[1,6,3,2,4,5,7]=>[4,3,5,6,1,2,7]
[1,6,3,2,4,7,5]=>[3,7,4,5,1,2,6]
[1,6,3,2,5,4,7]=>[3,6,4,5,1,2,7]
[1,6,3,2,5,7,4]=>[3,5,7,4,1,2,6]
[1,6,3,2,7,4,5]=>[3,6,7,4,1,2,5]
[1,6,3,2,7,5,4]=>[7,3,6,4,1,2,5]
[1,6,3,4,2,5,7]=>[3,5,4,6,1,2,7]
[1,6,3,4,2,7,5]=>[3,4,7,5,1,2,6]
[1,6,3,4,5,2,7]=>[3,4,6,5,1,2,7]
[1,6,3,4,5,7,2]=>[3,4,5,2,7,1,6]
[1,6,3,4,7,2,5]=>[3,4,6,2,7,1,5]
[1,6,3,4,7,5,2]=>[7,3,4,2,6,1,5]
[1,6,3,5,2,4,7]=>[3,5,6,4,1,2,7]
[1,6,3,5,2,7,4]=>[7,3,5,4,1,2,6]
[1,6,3,5,4,2,7]=>[6,3,5,4,1,2,7]
[1,6,3,5,4,7,2]=>[5,3,4,2,7,1,6]
[1,6,3,5,7,2,4]=>[6,3,4,2,7,1,5]
[1,6,3,5,7,4,2]=>[4,7,3,2,6,1,5]
[1,6,3,7,2,4,5]=>[3,5,6,2,7,1,4]
[1,6,3,7,2,5,4]=>[7,3,5,2,6,1,4]
[1,6,3,7,4,2,5]=>[6,3,5,2,7,1,4]
[1,6,3,7,4,5,2]=>[5,7,3,2,6,1,4]
[1,6,3,7,5,2,4]=>[6,7,3,2,5,1,4]
[1,6,3,7,5,4,2]=>[7,6,3,2,5,1,4]
[1,6,4,2,3,5,7]=>[4,5,3,6,1,2,7]
[1,6,4,2,3,7,5]=>[7,4,3,5,1,2,6]
[1,6,4,2,5,3,7]=>[6,4,3,5,1,2,7]
[1,6,4,2,5,7,3]=>[5,3,7,4,1,2,6]
[1,6,4,2,7,3,5]=>[6,3,7,4,1,2,5]
[1,6,4,2,7,5,3]=>[3,7,6,4,1,2,5]
[1,6,4,3,2,5,7]=>[5,4,3,6,1,2,7]
[1,6,4,3,2,7,5]=>[4,3,7,5,1,2,6]
[1,6,4,3,5,2,7]=>[4,3,6,5,1,2,7]
[1,6,4,3,5,7,2]=>[4,3,5,2,7,1,6]
[1,6,4,3,7,2,5]=>[4,3,6,2,7,1,5]
[1,6,4,3,7,5,2]=>[3,7,4,2,6,1,5]
[1,6,4,5,2,3,7]=>[5,3,6,4,1,2,7]
[1,6,4,5,2,7,3]=>[3,7,5,4,1,2,6]
[1,6,4,5,3,2,7]=>[3,6,5,4,1,2,7]
[1,6,4,5,3,7,2]=>[3,5,4,2,7,1,6]
[1,6,4,5,7,2,3]=>[3,6,4,2,7,1,5]
[1,6,4,5,7,3,2]=>[3,4,2,7,6,1,5]
[1,6,4,7,2,3,5]=>[5,3,6,2,7,1,4]
[1,6,4,7,2,5,3]=>[3,7,5,2,6,1,4]
[1,6,4,7,3,2,5]=>[3,6,5,2,7,1,4]
[1,6,4,7,3,5,2]=>[3,5,2,7,6,1,4]
[1,6,4,7,5,2,3]=>[3,6,2,7,5,1,4]
[1,6,4,7,5,3,2]=>[7,3,2,6,5,1,4]
[1,6,5,2,3,4,7]=>[4,5,6,3,1,2,7]
[1,6,5,2,3,7,4]=>[7,4,5,3,1,2,6]
[1,6,5,2,4,3,7]=>[6,4,5,3,1,2,7]
[1,6,5,2,4,7,3]=>[5,7,4,3,1,2,6]
[1,6,5,2,7,3,4]=>[6,7,4,3,1,2,5]
[1,6,5,2,7,4,3]=>[7,6,4,3,1,2,5]
[1,6,5,3,2,4,7]=>[5,4,6,3,1,2,7]
[1,6,5,3,2,7,4]=>[4,7,5,3,1,2,6]
[1,6,5,3,4,2,7]=>[4,6,5,3,1,2,7]
[1,6,5,3,4,7,2]=>[4,5,3,2,7,1,6]
[1,6,5,3,7,2,4]=>[4,6,3,2,7,1,5]
[1,6,5,3,7,4,2]=>[7,4,3,2,6,1,5]
[1,6,5,4,2,3,7]=>[5,6,4,3,1,2,7]
[1,6,5,4,2,7,3]=>[7,5,4,3,1,2,6]
[1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]
[1,6,5,4,3,7,2]=>[5,4,3,2,7,1,6]
[1,6,5,4,7,2,3]=>[6,4,3,2,7,1,5]
[1,6,5,4,7,3,2]=>[4,3,2,7,6,1,5]
[1,6,5,7,2,3,4]=>[5,6,3,2,7,1,4]
[1,6,5,7,2,4,3]=>[7,5,3,2,6,1,4]
[1,6,5,7,3,2,4]=>[6,5,3,2,7,1,4]
[1,6,5,7,3,4,2]=>[5,3,2,7,6,1,4]
[1,6,5,7,4,2,3]=>[6,3,2,7,5,1,4]
[1,6,5,7,4,3,2]=>[3,2,7,6,5,1,4]
[1,6,7,2,3,4,5]=>[4,5,6,2,7,1,3]
[1,6,7,2,3,5,4]=>[7,4,5,2,6,1,3]
[1,6,7,2,4,3,5]=>[6,4,5,2,7,1,3]
[1,6,7,2,4,5,3]=>[5,7,4,2,6,1,3]
[1,6,7,2,5,3,4]=>[6,7,4,2,5,1,3]
[1,6,7,2,5,4,3]=>[7,6,4,2,5,1,3]
[1,6,7,3,2,4,5]=>[5,4,6,2,7,1,3]
[1,6,7,3,2,5,4]=>[4,7,5,2,6,1,3]
[1,6,7,3,4,2,5]=>[4,6,5,2,7,1,3]
[1,6,7,3,4,5,2]=>[4,5,2,7,6,1,3]
[1,6,7,3,5,2,4]=>[4,6,2,7,5,1,3]
[1,6,7,3,5,4,2]=>[7,4,2,6,5,1,3]
[1,6,7,4,2,3,5]=>[5,6,4,2,7,1,3]
[1,6,7,4,2,5,3]=>[7,5,4,2,6,1,3]
[1,6,7,4,3,2,5]=>[6,5,4,2,7,1,3]
[1,6,7,4,3,5,2]=>[5,4,2,7,6,1,3]
[1,6,7,4,5,2,3]=>[6,4,2,7,5,1,3]
[1,6,7,4,5,3,2]=>[4,2,7,6,5,1,3]
[1,6,7,5,2,3,4]=>[5,6,2,7,4,1,3]
[1,6,7,5,2,4,3]=>[7,5,2,6,4,1,3]
[1,6,7,5,3,2,4]=>[6,5,2,7,4,1,3]
[1,6,7,5,3,4,2]=>[5,2,7,6,4,1,3]
[1,6,7,5,4,2,3]=>[6,2,7,5,4,1,3]
[1,6,7,5,4,3,2]=>[2,7,6,5,4,1,3]
[1,7,2,3,4,5,6]=>[3,4,5,6,7,1,2]
[1,7,2,3,4,6,5]=>[7,3,4,5,6,1,2]
[1,7,2,3,5,4,6]=>[6,3,4,5,7,1,2]
[1,7,2,3,5,6,4]=>[5,7,3,4,6,1,2]
[1,7,2,3,6,4,5]=>[6,7,3,4,5,1,2]
[1,7,2,3,6,5,4]=>[7,6,3,4,5,1,2]
[1,7,2,4,3,5,6]=>[5,3,4,6,7,1,2]
[1,7,2,4,3,6,5]=>[4,7,3,5,6,1,2]
[1,7,2,4,5,3,6]=>[4,6,3,5,7,1,2]
[1,7,2,4,5,6,3]=>[4,5,7,3,6,1,2]
[1,7,2,4,6,3,5]=>[4,6,7,3,5,1,2]
[1,7,2,4,6,5,3]=>[7,4,6,3,5,1,2]
[1,7,2,5,3,4,6]=>[5,6,3,4,7,1,2]
[1,7,2,5,3,6,4]=>[7,5,3,4,6,1,2]
[1,7,2,5,4,3,6]=>[6,5,3,4,7,1,2]
[1,7,2,5,4,6,3]=>[5,4,7,3,6,1,2]
[1,7,2,5,6,3,4]=>[6,4,7,3,5,1,2]
[1,7,2,5,6,4,3]=>[4,7,6,3,5,1,2]
[1,7,2,6,3,4,5]=>[5,6,7,3,4,1,2]
[1,7,2,6,3,5,4]=>[7,5,6,3,4,1,2]
[1,7,2,6,4,3,5]=>[6,5,7,3,4,1,2]
[1,7,2,6,4,5,3]=>[5,7,6,3,4,1,2]
[1,7,2,6,5,3,4]=>[6,7,5,3,4,1,2]
[1,7,2,6,5,4,3]=>[7,6,5,3,4,1,2]
[1,7,3,2,4,5,6]=>[4,3,5,6,7,1,2]
[1,7,3,2,4,6,5]=>[3,7,4,5,6,1,2]
[1,7,3,2,5,4,6]=>[3,6,4,5,7,1,2]
[1,7,3,2,5,6,4]=>[3,5,7,4,6,1,2]
[1,7,3,2,6,4,5]=>[3,6,7,4,5,1,2]
[1,7,3,2,6,5,4]=>[7,3,6,4,5,1,2]
[1,7,3,4,2,5,6]=>[3,5,4,6,7,1,2]
[1,7,3,4,2,6,5]=>[3,4,7,5,6,1,2]
[1,7,3,4,5,2,6]=>[3,4,6,5,7,1,2]
[1,7,3,4,5,6,2]=>[3,4,5,7,6,1,2]
[1,7,3,4,6,2,5]=>[3,4,6,7,5,1,2]
[1,7,3,4,6,5,2]=>[7,3,4,6,5,1,2]
[1,7,3,5,2,4,6]=>[3,5,6,4,7,1,2]
[1,7,3,5,2,6,4]=>[7,3,5,4,6,1,2]
[1,7,3,5,4,2,6]=>[6,3,5,4,7,1,2]
[1,7,3,5,4,6,2]=>[5,3,4,7,6,1,2]
[1,7,3,5,6,2,4]=>[6,3,4,7,5,1,2]
[1,7,3,5,6,4,2]=>[4,7,3,6,5,1,2]
[1,7,3,6,2,4,5]=>[3,5,6,7,4,1,2]
[1,7,3,6,2,5,4]=>[7,3,5,6,4,1,2]
[1,7,3,6,4,2,5]=>[6,3,5,7,4,1,2]
[1,7,3,6,4,5,2]=>[5,7,3,6,4,1,2]
[1,7,3,6,5,2,4]=>[6,7,3,5,4,1,2]
[1,7,3,6,5,4,2]=>[7,6,3,5,4,1,2]
[1,7,4,2,3,5,6]=>[4,5,3,6,7,1,2]
[1,7,4,2,3,6,5]=>[7,4,3,5,6,1,2]
[1,7,4,2,5,3,6]=>[6,4,3,5,7,1,2]
[1,7,4,2,5,6,3]=>[5,3,7,4,6,1,2]
[1,7,4,2,6,3,5]=>[6,3,7,4,5,1,2]
[1,7,4,2,6,5,3]=>[3,7,6,4,5,1,2]
[1,7,4,3,2,5,6]=>[5,4,3,6,7,1,2]
[1,7,4,3,2,6,5]=>[4,3,7,5,6,1,2]
[1,7,4,3,5,2,6]=>[4,3,6,5,7,1,2]
[1,7,4,3,5,6,2]=>[4,3,5,7,6,1,2]
[1,7,4,3,6,2,5]=>[4,3,6,7,5,1,2]
[1,7,4,3,6,5,2]=>[3,7,4,6,5,1,2]
[1,7,4,5,2,3,6]=>[5,3,6,4,7,1,2]
[1,7,4,5,2,6,3]=>[3,7,5,4,6,1,2]
[1,7,4,5,3,2,6]=>[3,6,5,4,7,1,2]
[1,7,4,5,3,6,2]=>[3,5,4,7,6,1,2]
[1,7,4,5,6,2,3]=>[3,6,4,7,5,1,2]
[1,7,4,5,6,3,2]=>[3,4,7,6,5,1,2]
[1,7,4,6,2,3,5]=>[5,3,6,7,4,1,2]
[1,7,4,6,2,5,3]=>[3,7,5,6,4,1,2]
[1,7,4,6,3,2,5]=>[3,6,5,7,4,1,2]
[1,7,4,6,3,5,2]=>[3,5,7,6,4,1,2]
[1,7,4,6,5,2,3]=>[3,6,7,5,4,1,2]
[1,7,4,6,5,3,2]=>[7,3,6,5,4,1,2]
[1,7,5,2,3,4,6]=>[4,5,6,3,7,1,2]
[1,7,5,2,3,6,4]=>[7,4,5,3,6,1,2]
[1,7,5,2,4,3,6]=>[6,4,5,3,7,1,2]
[1,7,5,2,4,6,3]=>[5,7,4,3,6,1,2]
[1,7,5,2,6,3,4]=>[6,7,4,3,5,1,2]
[1,7,5,2,6,4,3]=>[7,6,4,3,5,1,2]
[1,7,5,3,2,4,6]=>[5,4,6,3,7,1,2]
[1,7,5,3,2,6,4]=>[4,7,5,3,6,1,2]
[1,7,5,3,4,2,6]=>[4,6,5,3,7,1,2]
[1,7,5,3,4,6,2]=>[4,5,3,7,6,1,2]
[1,7,5,3,6,2,4]=>[4,6,3,7,5,1,2]
[1,7,5,3,6,4,2]=>[7,4,3,6,5,1,2]
[1,7,5,4,2,3,6]=>[5,6,4,3,7,1,2]
[1,7,5,4,2,6,3]=>[7,5,4,3,6,1,2]
[1,7,5,4,3,2,6]=>[6,5,4,3,7,1,2]
[1,7,5,4,3,6,2]=>[5,4,3,7,6,1,2]
[1,7,5,4,6,2,3]=>[6,4,3,7,5,1,2]
[1,7,5,4,6,3,2]=>[4,3,7,6,5,1,2]
[1,7,5,6,2,3,4]=>[5,6,3,7,4,1,2]
[1,7,5,6,2,4,3]=>[7,5,3,6,4,1,2]
[1,7,5,6,3,2,4]=>[6,5,3,7,4,1,2]
[1,7,5,6,3,4,2]=>[5,3,7,6,4,1,2]
[1,7,5,6,4,2,3]=>[6,3,7,5,4,1,2]
[1,7,5,6,4,3,2]=>[3,7,6,5,4,1,2]
[1,7,6,2,3,4,5]=>[4,5,6,7,3,1,2]
[1,7,6,2,3,5,4]=>[7,4,5,6,3,1,2]
[1,7,6,2,4,3,5]=>[6,4,5,7,3,1,2]
[1,7,6,2,4,5,3]=>[5,7,4,6,3,1,2]
[1,7,6,2,5,3,4]=>[6,7,4,5,3,1,2]
[1,7,6,2,5,4,3]=>[7,6,4,5,3,1,2]
[1,7,6,3,2,4,5]=>[5,4,6,7,3,1,2]
[1,7,6,3,2,5,4]=>[4,7,5,6,3,1,2]
[1,7,6,3,4,2,5]=>[4,6,5,7,3,1,2]
[1,7,6,3,4,5,2]=>[4,5,7,6,3,1,2]
[1,7,6,3,5,2,4]=>[4,6,7,5,3,1,2]
[1,7,6,3,5,4,2]=>[7,4,6,5,3,1,2]
[1,7,6,4,2,3,5]=>[5,6,4,7,3,1,2]
[1,7,6,4,2,5,3]=>[7,5,4,6,3,1,2]
[1,7,6,4,3,2,5]=>[6,5,4,7,3,1,2]
[1,7,6,4,3,5,2]=>[5,4,7,6,3,1,2]
[1,7,6,4,5,2,3]=>[6,4,7,5,3,1,2]
[1,7,6,4,5,3,2]=>[4,7,6,5,3,1,2]
[1,7,6,5,2,3,4]=>[5,6,7,4,3,1,2]
[1,7,6,5,2,4,3]=>[7,5,6,4,3,1,2]
[1,7,6,5,3,2,4]=>[6,5,7,4,3,1,2]
[1,7,6,5,3,4,2]=>[5,7,6,4,3,1,2]
[1,7,6,5,4,2,3]=>[6,7,5,4,3,1,2]
[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[2,1,3,4,5,7,6]=>[1,7,2,3,4,5,6]
[2,1,3,4,6,5,7]=>[1,6,2,3,4,5,7]
[2,1,3,4,6,7,5]=>[1,5,7,2,3,4,6]
[2,1,3,4,7,5,6]=>[1,6,7,2,3,4,5]
[2,1,3,4,7,6,5]=>[7,1,6,2,3,4,5]
[2,1,3,5,4,6,7]=>[1,5,2,3,4,6,7]
[2,1,3,5,4,7,6]=>[1,4,7,2,3,5,6]
[2,1,3,5,6,4,7]=>[1,4,6,2,3,5,7]
[2,1,3,5,6,7,4]=>[1,4,5,7,2,3,6]
[2,1,3,5,7,4,6]=>[1,4,6,7,2,3,5]
[2,1,3,5,7,6,4]=>[7,1,4,6,2,3,5]
[2,1,3,6,4,5,7]=>[1,5,6,2,3,4,7]
[2,1,3,6,4,7,5]=>[7,1,5,2,3,4,6]
[2,1,3,6,5,4,7]=>[6,1,5,2,3,4,7]
[2,1,3,6,5,7,4]=>[5,1,4,7,2,3,6]
[2,1,3,6,7,4,5]=>[6,1,4,7,2,3,5]
[2,1,3,6,7,5,4]=>[4,7,1,6,2,3,5]
[2,1,3,7,4,5,6]=>[1,5,6,7,2,3,4]
[2,1,3,7,4,6,5]=>[7,1,5,6,2,3,4]
[2,1,3,7,5,4,6]=>[6,1,5,7,2,3,4]
[2,1,3,7,5,6,4]=>[5,7,1,6,2,3,4]
[2,1,3,7,6,4,5]=>[6,7,1,5,2,3,4]
[2,1,3,7,6,5,4]=>[7,6,1,5,2,3,4]
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]
[2,1,4,3,5,7,6]=>[1,3,7,2,4,5,6]
[2,1,4,3,6,5,7]=>[1,3,6,2,4,5,7]
[2,1,4,3,6,7,5]=>[1,3,5,7,2,4,6]
[2,1,4,3,7,5,6]=>[1,3,6,7,2,4,5]
[2,1,4,3,7,6,5]=>[7,1,3,6,2,4,5]
[2,1,4,5,3,6,7]=>[1,3,5,2,4,6,7]
[2,1,4,5,3,7,6]=>[1,3,4,7,2,5,6]
[2,1,4,5,6,3,7]=>[1,3,4,6,2,5,7]
[2,1,4,5,6,7,3]=>[1,3,4,5,7,2,6]
[2,1,4,5,7,3,6]=>[1,3,4,6,7,2,5]
[2,1,4,5,7,6,3]=>[7,1,3,4,6,2,5]
[2,1,4,6,3,5,7]=>[1,3,5,6,2,4,7]
[2,1,4,6,3,7,5]=>[7,1,3,5,2,4,6]
[2,1,4,6,5,3,7]=>[6,1,3,5,2,4,7]
[2,1,4,6,5,7,3]=>[5,1,3,4,7,2,6]
[2,1,4,6,7,3,5]=>[6,1,3,4,7,2,5]
[2,1,4,6,7,5,3]=>[4,7,1,3,6,2,5]
[2,1,4,7,3,5,6]=>[1,3,5,6,7,2,4]
[2,1,4,7,3,6,5]=>[7,1,3,5,6,2,4]
[2,1,4,7,5,3,6]=>[6,1,3,5,7,2,4]
[2,1,4,7,5,6,3]=>[5,7,1,3,6,2,4]
[2,1,4,7,6,3,5]=>[6,7,1,3,5,2,4]
[2,1,4,7,6,5,3]=>[7,6,1,3,5,2,4]
[2,1,5,3,4,6,7]=>[1,4,5,2,3,6,7]
[2,1,5,3,4,7,6]=>[7,1,4,2,3,5,6]
[2,1,5,3,6,4,7]=>[6,1,4,2,3,5,7]
[2,1,5,3,6,7,4]=>[5,1,3,7,2,4,6]
[2,1,5,3,7,4,6]=>[6,1,3,7,2,4,5]
[2,1,5,3,7,6,4]=>[3,7,1,6,2,4,5]
[2,1,5,4,3,6,7]=>[5,1,4,2,3,6,7]
[2,1,5,4,3,7,6]=>[4,1,3,7,2,5,6]
[2,1,5,4,6,3,7]=>[4,1,3,6,2,5,7]
[2,1,5,4,6,7,3]=>[4,1,3,5,7,2,6]
[2,1,5,4,7,3,6]=>[4,1,3,6,7,2,5]
[2,1,5,4,7,6,3]=>[3,7,1,4,6,2,5]
[2,1,5,6,3,4,7]=>[5,1,3,6,2,4,7]
[2,1,5,6,3,7,4]=>[3,7,1,5,2,4,6]
[2,1,5,6,4,3,7]=>[3,6,1,5,2,4,7]
[2,1,5,6,4,7,3]=>[3,5,1,4,7,2,6]
[2,1,5,6,7,3,4]=>[3,6,1,4,7,2,5]
[2,1,5,6,7,4,3]=>[3,4,7,1,6,2,5]
[2,1,5,7,3,4,6]=>[5,1,3,6,7,2,4]
[2,1,5,7,3,6,4]=>[3,7,1,5,6,2,4]
[2,1,5,7,4,3,6]=>[3,6,1,5,7,2,4]
[2,1,5,7,4,6,3]=>[3,5,7,1,6,2,4]
[2,1,5,7,6,3,4]=>[3,6,7,1,5,2,4]
[2,1,5,7,6,4,3]=>[7,3,6,1,5,2,4]
[2,1,6,3,4,5,7]=>[1,4,5,6,2,3,7]
[2,1,6,3,4,7,5]=>[7,1,4,5,2,3,6]
[2,1,6,3,5,4,7]=>[6,1,4,5,2,3,7]
[2,1,6,3,5,7,4]=>[5,7,1,4,2,3,6]
[2,1,6,3,7,4,5]=>[6,7,1,4,2,3,5]
[2,1,6,3,7,5,4]=>[7,6,1,4,2,3,5]
[2,1,6,4,3,5,7]=>[5,1,4,6,2,3,7]
[2,1,6,4,3,7,5]=>[4,7,1,5,2,3,6]
[2,1,6,4,5,3,7]=>[4,6,1,5,2,3,7]
[2,1,6,4,5,7,3]=>[4,5,1,3,7,2,6]
[2,1,6,4,7,3,5]=>[4,6,1,3,7,2,5]
[2,1,6,4,7,5,3]=>[7,4,1,3,6,2,5]
[2,1,6,5,3,4,7]=>[5,6,1,4,2,3,7]
[2,1,6,5,3,7,4]=>[7,5,1,4,2,3,6]
[2,1,6,5,4,3,7]=>[6,5,1,4,2,3,7]
[2,1,6,5,4,7,3]=>[5,4,1,3,7,2,6]
[2,1,6,5,7,3,4]=>[6,4,1,3,7,2,5]
[2,1,6,5,7,4,3]=>[4,3,7,1,6,2,5]
[2,1,6,7,3,4,5]=>[5,6,1,3,7,2,4]
[2,1,6,7,3,5,4]=>[7,5,1,3,6,2,4]
[2,1,6,7,4,3,5]=>[6,5,1,3,7,2,4]
[2,1,6,7,4,5,3]=>[5,3,7,1,6,2,4]
[2,1,6,7,5,3,4]=>[6,3,7,1,5,2,4]
[2,1,6,7,5,4,3]=>[3,7,6,1,5,2,4]
[2,1,7,3,4,5,6]=>[1,4,5,6,7,2,3]
[2,1,7,3,4,6,5]=>[7,1,4,5,6,2,3]
[2,1,7,3,5,4,6]=>[6,1,4,5,7,2,3]
[2,1,7,3,5,6,4]=>[5,7,1,4,6,2,3]
[2,1,7,3,6,4,5]=>[6,7,1,4,5,2,3]
[2,1,7,3,6,5,4]=>[7,6,1,4,5,2,3]
[2,1,7,4,3,5,6]=>[5,1,4,6,7,2,3]
[2,1,7,4,3,6,5]=>[4,7,1,5,6,2,3]
[2,1,7,4,5,3,6]=>[4,6,1,5,7,2,3]
[2,1,7,4,5,6,3]=>[4,5,7,1,6,2,3]
[2,1,7,4,6,3,5]=>[4,6,7,1,5,2,3]
[2,1,7,4,6,5,3]=>[7,4,6,1,5,2,3]
[2,1,7,5,3,4,6]=>[5,6,1,4,7,2,3]
[2,1,7,5,3,6,4]=>[7,5,1,4,6,2,3]
[2,1,7,5,4,3,6]=>[6,5,1,4,7,2,3]
[2,1,7,5,4,6,3]=>[5,4,7,1,6,2,3]
[2,1,7,5,6,3,4]=>[6,4,7,1,5,2,3]
[2,1,7,5,6,4,3]=>[4,7,6,1,5,2,3]
[2,1,7,6,3,4,5]=>[5,6,7,1,4,2,3]
[2,1,7,6,3,5,4]=>[7,5,6,1,4,2,3]
[2,1,7,6,4,3,5]=>[6,5,7,1,4,2,3]
[2,1,7,6,4,5,3]=>[5,7,6,1,4,2,3]
[2,1,7,6,5,3,4]=>[6,7,5,1,4,2,3]
[2,1,7,6,5,4,3]=>[7,6,5,1,4,2,3]
[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7]
[2,3,1,4,5,7,6]=>[1,2,7,3,4,5,6]
[2,3,1,4,6,5,7]=>[1,2,6,3,4,5,7]
[2,3,1,4,6,7,5]=>[1,2,5,7,3,4,6]
[2,3,1,4,7,5,6]=>[1,2,6,7,3,4,5]
[2,3,1,4,7,6,5]=>[7,1,2,6,3,4,5]
[2,3,1,5,4,6,7]=>[1,2,5,3,4,6,7]
[2,3,1,5,4,7,6]=>[1,2,4,7,3,5,6]
[2,3,1,5,6,4,7]=>[1,2,4,6,3,5,7]
[2,3,1,5,6,7,4]=>[1,2,4,5,7,3,6]
[2,3,1,5,7,4,6]=>[1,2,4,6,7,3,5]
[2,3,1,5,7,6,4]=>[7,1,2,4,6,3,5]
[2,3,1,6,4,5,7]=>[1,2,5,6,3,4,7]
[2,3,1,6,4,7,5]=>[7,1,2,5,3,4,6]
[2,3,1,6,5,4,7]=>[6,1,2,5,3,4,7]
[2,3,1,6,5,7,4]=>[5,1,2,4,7,3,6]
[2,3,1,6,7,4,5]=>[6,1,2,4,7,3,5]
[2,3,1,6,7,5,4]=>[4,7,1,2,6,3,5]
[2,3,1,7,4,5,6]=>[1,2,5,6,7,3,4]
[2,3,1,7,4,6,5]=>[7,1,2,5,6,3,4]
[2,3,1,7,5,4,6]=>[6,1,2,5,7,3,4]
[2,3,1,7,5,6,4]=>[5,7,1,2,6,3,4]
[2,3,1,7,6,4,5]=>[6,7,1,2,5,3,4]
[2,3,1,7,6,5,4]=>[7,6,1,2,5,3,4]
[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7]
[2,3,4,1,5,7,6]=>[1,2,3,7,4,5,6]
[2,3,4,1,6,5,7]=>[1,2,3,6,4,5,7]
[2,3,4,1,6,7,5]=>[1,2,3,5,7,4,6]
[2,3,4,1,7,5,6]=>[1,2,3,6,7,4,5]
[2,3,4,1,7,6,5]=>[7,1,2,3,6,4,5]
[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7]
[2,3,4,5,1,7,6]=>[1,2,3,4,7,5,6]
[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7]
[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6]
[2,3,4,5,7,1,6]=>[1,2,3,4,6,7,5]
[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]
[2,3,4,6,1,5,7]=>[1,2,3,5,6,4,7]
[2,3,4,6,1,7,5]=>[7,1,2,3,5,4,6]
[2,3,4,6,5,1,7]=>[6,1,2,3,5,4,7]
[2,3,4,6,5,7,1]=>[5,1,2,3,4,7,6]
[2,3,4,6,7,1,5]=>[6,1,2,3,4,7,5]
[2,3,4,6,7,5,1]=>[4,7,1,2,3,6,5]
[2,3,4,7,1,5,6]=>[1,2,3,5,6,7,4]
[2,3,4,7,1,6,5]=>[7,1,2,3,5,6,4]
[2,3,4,7,5,1,6]=>[6,1,2,3,5,7,4]
[2,3,4,7,5,6,1]=>[5,7,1,2,3,6,4]
[2,3,4,7,6,1,5]=>[6,7,1,2,3,5,4]
[2,3,4,7,6,5,1]=>[7,6,1,2,3,5,4]
[2,3,5,1,4,6,7]=>[1,2,4,5,3,6,7]
[2,3,5,1,4,7,6]=>[7,1,2,4,3,5,6]
[2,3,5,1,6,4,7]=>[6,1,2,4,3,5,7]
[2,3,5,1,6,7,4]=>[5,1,2,3,7,4,6]
[2,3,5,1,7,4,6]=>[6,1,2,3,7,4,5]
[2,3,5,1,7,6,4]=>[3,7,1,2,6,4,5]
[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7]
[2,3,5,4,1,7,6]=>[4,1,2,3,7,5,6]
[2,3,5,4,6,1,7]=>[4,1,2,3,6,5,7]
[2,3,5,4,6,7,1]=>[4,1,2,3,5,7,6]
[2,3,5,4,7,1,6]=>[4,1,2,3,6,7,5]
[2,3,5,4,7,6,1]=>[3,7,1,2,4,6,5]
[2,3,5,6,1,4,7]=>[5,1,2,3,6,4,7]
[2,3,5,6,1,7,4]=>[3,7,1,2,5,4,6]
[2,3,5,6,4,1,7]=>[3,6,1,2,5,4,7]
[2,3,5,6,4,7,1]=>[3,5,1,2,4,7,6]
[2,3,5,6,7,1,4]=>[3,6,1,2,4,7,5]
[2,3,5,6,7,4,1]=>[3,4,7,1,2,6,5]
[2,3,5,7,1,4,6]=>[5,1,2,3,6,7,4]
[2,3,5,7,1,6,4]=>[3,7,1,2,5,6,4]
[2,3,5,7,4,1,6]=>[3,6,1,2,5,7,4]
[2,3,5,7,4,6,1]=>[3,5,7,1,2,6,4]
[2,3,5,7,6,1,4]=>[3,6,7,1,2,5,4]
[2,3,5,7,6,4,1]=>[7,3,6,1,2,5,4]
[2,3,6,1,4,5,7]=>[1,2,4,5,6,3,7]
[2,3,6,1,4,7,5]=>[7,1,2,4,5,3,6]
[2,3,6,1,5,4,7]=>[6,1,2,4,5,3,7]
[2,3,6,1,5,7,4]=>[5,7,1,2,4,3,6]
[2,3,6,1,7,4,5]=>[6,7,1,2,4,3,5]
[2,3,6,1,7,5,4]=>[7,6,1,2,4,3,5]
[2,3,6,4,1,5,7]=>[5,1,2,4,6,3,7]
[2,3,6,4,1,7,5]=>[4,7,1,2,5,3,6]
[2,3,6,4,5,1,7]=>[4,6,1,2,5,3,7]
[2,3,6,4,5,7,1]=>[4,5,1,2,3,7,6]
[2,3,6,4,7,1,5]=>[4,6,1,2,3,7,5]
[2,3,6,4,7,5,1]=>[7,4,1,2,3,6,5]
[2,3,6,5,1,4,7]=>[5,6,1,2,4,3,7]
[2,3,6,5,1,7,4]=>[7,5,1,2,4,3,6]
[2,3,6,5,4,1,7]=>[6,5,1,2,4,3,7]
[2,3,6,5,4,7,1]=>[5,4,1,2,3,7,6]
[2,3,6,5,7,1,4]=>[6,4,1,2,3,7,5]
[2,3,6,5,7,4,1]=>[4,3,7,1,2,6,5]
[2,3,6,7,1,4,5]=>[5,6,1,2,3,7,4]
[2,3,6,7,1,5,4]=>[7,5,1,2,3,6,4]
[2,3,6,7,4,1,5]=>[6,5,1,2,3,7,4]
[2,3,6,7,4,5,1]=>[5,3,7,1,2,6,4]
[2,3,6,7,5,1,4]=>[6,3,7,1,2,5,4]
[2,3,6,7,5,4,1]=>[3,7,6,1,2,5,4]
[2,3,7,1,4,5,6]=>[1,2,4,5,6,7,3]
[2,3,7,1,4,6,5]=>[7,1,2,4,5,6,3]
[2,3,7,1,5,4,6]=>[6,1,2,4,5,7,3]
[2,3,7,1,5,6,4]=>[5,7,1,2,4,6,3]
[2,3,7,1,6,4,5]=>[6,7,1,2,4,5,3]
[2,3,7,1,6,5,4]=>[7,6,1,2,4,5,3]
[2,3,7,4,1,5,6]=>[5,1,2,4,6,7,3]
[2,3,7,4,1,6,5]=>[4,7,1,2,5,6,3]
[2,3,7,4,5,1,6]=>[4,6,1,2,5,7,3]
[2,3,7,4,5,6,1]=>[4,5,7,1,2,6,3]
[2,3,7,4,6,1,5]=>[4,6,7,1,2,5,3]
[2,3,7,4,6,5,1]=>[7,4,6,1,2,5,3]
[2,3,7,5,1,4,6]=>[5,6,1,2,4,7,3]
[2,3,7,5,1,6,4]=>[7,5,1,2,4,6,3]
[2,3,7,5,4,1,6]=>[6,5,1,2,4,7,3]
[2,3,7,5,4,6,1]=>[5,4,7,1,2,6,3]
[2,3,7,5,6,1,4]=>[6,4,7,1,2,5,3]
[2,3,7,5,6,4,1]=>[4,7,6,1,2,5,3]
[2,3,7,6,1,4,5]=>[5,6,7,1,2,4,3]
[2,3,7,6,1,5,4]=>[7,5,6,1,2,4,3]
[2,3,7,6,4,1,5]=>[6,5,7,1,2,4,3]
[2,3,7,6,4,5,1]=>[5,7,6,1,2,4,3]
[2,3,7,6,5,1,4]=>[6,7,5,1,2,4,3]
[2,3,7,6,5,4,1]=>[7,6,5,1,2,4,3]
[2,4,1,3,5,6,7]=>[1,3,4,2,5,6,7]
[2,4,1,3,5,7,6]=>[7,1,3,2,4,5,6]
[2,4,1,3,6,5,7]=>[6,1,3,2,4,5,7]
[2,4,1,3,6,7,5]=>[5,1,2,7,3,4,6]
[2,4,1,3,7,5,6]=>[6,1,2,7,3,4,5]
[2,4,1,3,7,6,5]=>[2,7,1,6,3,4,5]
[2,4,1,5,3,6,7]=>[5,1,3,2,4,6,7]
[2,4,1,5,3,7,6]=>[4,1,2,7,3,5,6]
[2,4,1,5,6,3,7]=>[4,1,2,6,3,5,7]
[2,4,1,5,6,7,3]=>[4,1,2,5,7,3,6]
[2,4,1,5,7,3,6]=>[4,1,2,6,7,3,5]
[2,4,1,5,7,6,3]=>[2,7,1,4,6,3,5]
[2,4,1,6,3,5,7]=>[5,1,2,6,3,4,7]
[2,4,1,6,3,7,5]=>[2,7,1,5,3,4,6]
[2,4,1,6,5,3,7]=>[2,6,1,5,3,4,7]
[2,4,1,6,5,7,3]=>[2,5,1,4,7,3,6]
[2,4,1,6,7,3,5]=>[2,6,1,4,7,3,5]
[2,4,1,6,7,5,3]=>[2,4,7,1,6,3,5]
[2,4,1,7,3,5,6]=>[5,1,2,6,7,3,4]
[2,4,1,7,3,6,5]=>[2,7,1,5,6,3,4]
[2,4,1,7,5,3,6]=>[2,6,1,5,7,3,4]
[2,4,1,7,5,6,3]=>[2,5,7,1,6,3,4]
[2,4,1,7,6,3,5]=>[2,6,7,1,5,3,4]
[2,4,1,7,6,5,3]=>[7,2,6,1,5,3,4]
[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7]
[2,4,3,1,5,7,6]=>[3,1,2,7,4,5,6]
[2,4,3,1,6,5,7]=>[3,1,2,6,4,5,7]
[2,4,3,1,6,7,5]=>[3,1,2,5,7,4,6]
[2,4,3,1,7,5,6]=>[3,1,2,6,7,4,5]
[2,4,3,1,7,6,5]=>[2,7,1,3,6,4,5]
[2,4,3,5,1,6,7]=>[3,1,2,5,4,6,7]
[2,4,3,5,1,7,6]=>[3,1,2,4,7,5,6]
[2,4,3,5,6,1,7]=>[3,1,2,4,6,5,7]
[2,4,3,5,6,7,1]=>[3,1,2,4,5,7,6]
[2,4,3,5,7,1,6]=>[3,1,2,4,6,7,5]
[2,4,3,5,7,6,1]=>[2,7,1,3,4,6,5]
[2,4,3,6,1,5,7]=>[3,1,2,5,6,4,7]
[2,4,3,6,1,7,5]=>[2,7,1,3,5,4,6]
[2,4,3,6,5,1,7]=>[2,6,1,3,5,4,7]
[2,4,3,6,5,7,1]=>[2,5,1,3,4,7,6]
[2,4,3,6,7,1,5]=>[2,6,1,3,4,7,5]
[2,4,3,6,7,5,1]=>[2,4,7,1,3,6,5]
[2,4,3,7,1,5,6]=>[3,1,2,5,6,7,4]
[2,4,3,7,1,6,5]=>[2,7,1,3,5,6,4]
[2,4,3,7,5,1,6]=>[2,6,1,3,5,7,4]
[2,4,3,7,5,6,1]=>[2,5,7,1,3,6,4]
[2,4,3,7,6,1,5]=>[2,6,7,1,3,5,4]
[2,4,3,7,6,5,1]=>[7,2,6,1,3,5,4]
[2,4,5,1,3,6,7]=>[4,1,2,5,3,6,7]
[2,4,5,1,3,7,6]=>[2,7,1,4,3,5,6]
[2,4,5,1,6,3,7]=>[2,6,1,4,3,5,7]
[2,4,5,1,6,7,3]=>[2,5,1,3,7,4,6]
[2,4,5,1,7,3,6]=>[2,6,1,3,7,4,5]
[2,4,5,1,7,6,3]=>[2,3,7,1,6,4,5]
[2,4,5,3,1,6,7]=>[2,5,1,4,3,6,7]
[2,4,5,3,1,7,6]=>[2,4,1,3,7,5,6]
[2,4,5,3,6,1,7]=>[2,4,1,3,6,5,7]
[2,4,5,3,6,7,1]=>[2,4,1,3,5,7,6]
[2,4,5,3,7,1,6]=>[2,4,1,3,6,7,5]
[2,4,5,3,7,6,1]=>[2,3,7,1,4,6,5]
[2,4,5,6,1,3,7]=>[2,5,1,3,6,4,7]
[2,4,5,6,1,7,3]=>[2,3,7,1,5,4,6]
[2,4,5,6,3,1,7]=>[2,3,6,1,5,4,7]
[2,4,5,6,3,7,1]=>[2,3,5,1,4,7,6]
[2,4,5,6,7,1,3]=>[2,3,6,1,4,7,5]
[2,4,5,6,7,3,1]=>[2,3,4,7,1,6,5]
[2,4,5,7,1,3,6]=>[2,5,1,3,6,7,4]
[2,4,5,7,1,6,3]=>[2,3,7,1,5,6,4]
[2,4,5,7,3,1,6]=>[2,3,6,1,5,7,4]
[2,4,5,7,3,6,1]=>[2,3,5,7,1,6,4]
[2,4,5,7,6,1,3]=>[2,3,6,7,1,5,4]
[2,4,5,7,6,3,1]=>[7,2,3,6,1,5,4]
[2,4,6,1,3,5,7]=>[4,1,2,5,6,3,7]
[2,4,6,1,3,7,5]=>[2,7,1,4,5,3,6]
[2,4,6,1,5,3,7]=>[2,6,1,4,5,3,7]
[2,4,6,1,5,7,3]=>[2,5,7,1,4,3,6]
[2,4,6,1,7,3,5]=>[2,6,7,1,4,3,5]
[2,4,6,1,7,5,3]=>[7,2,6,1,4,3,5]
[2,4,6,3,1,5,7]=>[2,5,1,4,6,3,7]
[2,4,6,3,1,7,5]=>[2,4,7,1,5,3,6]
[2,4,6,3,5,1,7]=>[2,4,6,1,5,3,7]
[2,4,6,3,5,7,1]=>[2,4,5,1,3,7,6]
[2,4,6,3,7,1,5]=>[2,4,6,1,3,7,5]
[2,4,6,3,7,5,1]=>[7,2,4,1,3,6,5]
[2,4,6,5,1,3,7]=>[2,5,6,1,4,3,7]
[2,4,6,5,1,7,3]=>[7,2,5,1,4,3,6]
[2,4,6,5,3,1,7]=>[6,2,5,1,4,3,7]
[2,4,6,5,3,7,1]=>[5,2,4,1,3,7,6]
[2,4,6,5,7,1,3]=>[6,2,4,1,3,7,5]
[2,4,6,5,7,3,1]=>[4,2,3,7,1,6,5]
[2,4,6,7,1,3,5]=>[2,5,6,1,3,7,4]
[2,4,6,7,1,5,3]=>[7,2,5,1,3,6,4]
[2,4,6,7,3,1,5]=>[6,2,5,1,3,7,4]
[2,4,6,7,3,5,1]=>[5,2,3,7,1,6,4]
[2,4,6,7,5,1,3]=>[6,2,3,7,1,5,4]
[2,4,6,7,5,3,1]=>[3,7,2,6,1,5,4]
[2,4,7,1,3,5,6]=>[4,1,2,5,6,7,3]
[2,4,7,1,3,6,5]=>[2,7,1,4,5,6,3]
[2,4,7,1,5,3,6]=>[2,6,1,4,5,7,3]
[2,4,7,1,5,6,3]=>[2,5,7,1,4,6,3]
[2,4,7,1,6,3,5]=>[2,6,7,1,4,5,3]
[2,4,7,1,6,5,3]=>[7,2,6,1,4,5,3]
[2,4,7,3,1,5,6]=>[2,5,1,4,6,7,3]
[2,4,7,3,1,6,5]=>[2,4,7,1,5,6,3]
[2,4,7,3,5,1,6]=>[2,4,6,1,5,7,3]
[2,4,7,3,5,6,1]=>[2,4,5,7,1,6,3]
[2,4,7,3,6,1,5]=>[2,4,6,7,1,5,3]
[2,4,7,3,6,5,1]=>[7,2,4,6,1,5,3]
[2,4,7,5,1,3,6]=>[2,5,6,1,4,7,3]
[2,4,7,5,1,6,3]=>[7,2,5,1,4,6,3]
[2,4,7,5,3,1,6]=>[6,2,5,1,4,7,3]
[2,4,7,5,3,6,1]=>[5,2,4,7,1,6,3]
[2,4,7,5,6,1,3]=>[6,2,4,7,1,5,3]
[2,4,7,5,6,3,1]=>[4,7,2,6,1,5,3]
[2,4,7,6,1,3,5]=>[2,5,6,7,1,4,3]
[2,4,7,6,1,5,3]=>[7,2,5,6,1,4,3]
[2,4,7,6,3,1,5]=>[6,2,5,7,1,4,3]
[2,4,7,6,3,5,1]=>[5,7,2,6,1,4,3]
[2,4,7,6,5,1,3]=>[6,7,2,5,1,4,3]
[2,4,7,6,5,3,1]=>[7,6,2,5,1,4,3]
[2,5,1,3,4,6,7]=>[1,3,4,5,2,6,7]
[2,5,1,3,4,7,6]=>[7,1,3,4,2,5,6]
[2,5,1,3,6,4,7]=>[6,1,3,4,2,5,7]
[2,5,1,3,6,7,4]=>[5,7,1,3,2,4,6]
[2,5,1,3,7,4,6]=>[6,7,1,3,2,4,5]
[2,5,1,3,7,6,4]=>[7,6,1,3,2,4,5]
[2,5,1,4,3,6,7]=>[5,1,3,4,2,6,7]
[2,5,1,4,3,7,6]=>[4,7,1,3,2,5,6]
[2,5,1,4,6,3,7]=>[4,6,1,3,2,5,7]
[2,5,1,4,6,7,3]=>[4,5,1,2,7,3,6]
[2,5,1,4,7,3,6]=>[4,6,1,2,7,3,5]
[2,5,1,4,7,6,3]=>[7,4,1,2,6,3,5]
[2,5,1,6,3,4,7]=>[5,6,1,3,2,4,7]
[2,5,1,6,3,7,4]=>[7,5,1,3,2,4,6]
[2,5,1,6,4,3,7]=>[6,5,1,3,2,4,7]
[2,5,1,6,4,7,3]=>[5,4,1,2,7,3,6]
[2,5,1,6,7,3,4]=>[6,4,1,2,7,3,5]
[2,5,1,6,7,4,3]=>[4,2,7,1,6,3,5]
[2,5,1,7,3,4,6]=>[5,6,1,2,7,3,4]
[2,5,1,7,3,6,4]=>[7,5,1,2,6,3,4]
[2,5,1,7,4,3,6]=>[6,5,1,2,7,3,4]
[2,5,1,7,4,6,3]=>[5,2,7,1,6,3,4]
[2,5,1,7,6,3,4]=>[6,2,7,1,5,3,4]
[2,5,1,7,6,4,3]=>[2,7,6,1,5,3,4]
[2,5,3,1,4,6,7]=>[4,1,3,5,2,6,7]
[2,5,3,1,4,7,6]=>[3,7,1,4,2,5,6]
[2,5,3,1,6,4,7]=>[3,6,1,4,2,5,7]
[2,5,3,1,6,7,4]=>[3,5,1,2,7,4,6]
[2,5,3,1,7,4,6]=>[3,6,1,2,7,4,5]
[2,5,3,1,7,6,4]=>[7,3,1,2,6,4,5]
[2,5,3,4,1,6,7]=>[3,5,1,4,2,6,7]
[2,5,3,4,1,7,6]=>[3,4,1,2,7,5,6]
[2,5,3,4,6,1,7]=>[3,4,1,2,6,5,7]
[2,5,3,4,6,7,1]=>[3,4,1,2,5,7,6]
[2,5,3,4,7,1,6]=>[3,4,1,2,6,7,5]
[2,5,3,4,7,6,1]=>[7,3,1,2,4,6,5]
[2,5,3,6,1,4,7]=>[3,5,1,2,6,4,7]
[2,5,3,6,1,7,4]=>[7,3,1,2,5,4,6]
[2,5,3,6,4,1,7]=>[6,3,1,2,5,4,7]
[2,5,3,6,4,7,1]=>[5,3,1,2,4,7,6]
[2,5,3,6,7,1,4]=>[6,3,1,2,4,7,5]
[2,5,3,6,7,4,1]=>[4,2,7,1,3,6,5]
[2,5,3,7,1,4,6]=>[3,5,1,2,6,7,4]
[2,5,3,7,1,6,4]=>[7,3,1,2,5,6,4]
[2,5,3,7,4,1,6]=>[6,3,1,2,5,7,4]
[2,5,3,7,4,6,1]=>[5,2,7,1,3,6,4]
[2,5,3,7,6,1,4]=>[6,2,7,1,3,5,4]
[2,5,3,7,6,4,1]=>[2,7,6,1,3,5,4]
[2,5,4,1,3,6,7]=>[4,5,1,3,2,6,7]
[2,5,4,1,3,7,6]=>[7,4,1,3,2,5,6]
[2,5,4,1,6,3,7]=>[6,4,1,3,2,5,7]
[2,5,4,1,6,7,3]=>[5,3,1,2,7,4,6]
[2,5,4,1,7,3,6]=>[6,3,1,2,7,4,5]
[2,5,4,1,7,6,3]=>[3,2,7,1,6,4,5]
[2,5,4,3,1,6,7]=>[5,4,1,3,2,6,7]
[2,5,4,3,1,7,6]=>[4,3,1,2,7,5,6]
[2,5,4,3,6,1,7]=>[4,3,1,2,6,5,7]
[2,5,4,3,6,7,1]=>[4,3,1,2,5,7,6]
[2,5,4,3,7,1,6]=>[4,3,1,2,6,7,5]
[2,5,4,3,7,6,1]=>[3,2,7,1,4,6,5]
[2,5,4,6,1,3,7]=>[5,3,1,2,6,4,7]
[2,5,4,6,1,7,3]=>[3,2,7,1,5,4,6]
[2,5,4,6,3,1,7]=>[3,2,6,1,5,4,7]
[2,5,4,6,3,7,1]=>[3,2,5,1,4,7,6]
[2,5,4,6,7,1,3]=>[3,2,6,1,4,7,5]
[2,5,4,6,7,3,1]=>[3,2,4,7,1,6,5]
[2,5,4,7,1,3,6]=>[5,3,1,2,6,7,4]
[2,5,4,7,1,6,3]=>[3,2,7,1,5,6,4]
[2,5,4,7,3,1,6]=>[3,2,6,1,5,7,4]
[2,5,4,7,3,6,1]=>[3,2,5,7,1,6,4]
[2,5,4,7,6,1,3]=>[3,2,6,7,1,5,4]
[2,5,4,7,6,3,1]=>[2,7,3,6,1,5,4]
[2,5,6,1,3,4,7]=>[4,5,1,2,6,3,7]
[2,5,6,1,3,7,4]=>[7,4,1,2,5,3,6]
[2,5,6,1,4,3,7]=>[6,4,1,2,5,3,7]
[2,5,6,1,4,7,3]=>[5,2,7,1,4,3,6]
[2,5,6,1,7,3,4]=>[6,2,7,1,4,3,5]
[2,5,6,1,7,4,3]=>[2,7,6,1,4,3,5]
[2,5,6,3,1,4,7]=>[5,4,1,2,6,3,7]
[2,5,6,3,1,7,4]=>[4,2,7,1,5,3,6]
[2,5,6,3,4,1,7]=>[4,2,6,1,5,3,7]
[2,5,6,3,4,7,1]=>[4,2,5,1,3,7,6]
[2,5,6,3,7,1,4]=>[4,2,6,1,3,7,5]
[2,5,6,3,7,4,1]=>[2,7,4,1,3,6,5]
[2,5,6,4,1,3,7]=>[5,2,6,1,4,3,7]
[2,5,6,4,1,7,3]=>[2,7,5,1,4,3,6]
[2,5,6,4,3,1,7]=>[2,6,5,1,4,3,7]
[2,5,6,4,3,7,1]=>[2,5,4,1,3,7,6]
[2,5,6,4,7,1,3]=>[2,6,4,1,3,7,5]
[2,5,6,4,7,3,1]=>[2,4,3,7,1,6,5]
[2,5,6,7,1,3,4]=>[5,2,6,1,3,7,4]
[2,5,6,7,1,4,3]=>[2,7,5,1,3,6,4]
[2,5,6,7,3,1,4]=>[2,6,5,1,3,7,4]
[2,5,6,7,3,4,1]=>[2,5,3,7,1,6,4]
[2,5,6,7,4,1,3]=>[2,6,3,7,1,5,4]
[2,5,6,7,4,3,1]=>[2,3,7,6,1,5,4]
[2,5,7,1,3,4,6]=>[4,5,1,2,6,7,3]
[2,5,7,1,3,6,4]=>[7,4,1,2,5,6,3]
[2,5,7,1,4,3,6]=>[6,4,1,2,5,7,3]
[2,5,7,1,4,6,3]=>[5,2,7,1,4,6,3]
[2,5,7,1,6,3,4]=>[6,2,7,1,4,5,3]
[2,5,7,1,6,4,3]=>[2,7,6,1,4,5,3]
[2,5,7,3,1,4,6]=>[5,4,1,2,6,7,3]
[2,5,7,3,1,6,4]=>[4,2,7,1,5,6,3]
[2,5,7,3,4,1,6]=>[4,2,6,1,5,7,3]
[2,5,7,3,4,6,1]=>[4,2,5,7,1,6,3]
[2,5,7,3,6,1,4]=>[4,2,6,7,1,5,3]
[2,5,7,3,6,4,1]=>[2,7,4,6,1,5,3]
[2,5,7,4,1,3,6]=>[5,2,6,1,4,7,3]
[2,5,7,4,1,6,3]=>[2,7,5,1,4,6,3]
[2,5,7,4,3,1,6]=>[2,6,5,1,4,7,3]
[2,5,7,4,3,6,1]=>[2,5,4,7,1,6,3]
[2,5,7,4,6,1,3]=>[2,6,4,7,1,5,3]
[2,5,7,4,6,3,1]=>[2,4,7,6,1,5,3]
[2,5,7,6,1,3,4]=>[5,2,6,7,1,4,3]
[2,5,7,6,1,4,3]=>[2,7,5,6,1,4,3]
[2,5,7,6,3,1,4]=>[2,6,5,7,1,4,3]
[2,5,7,6,3,4,1]=>[2,5,7,6,1,4,3]
[2,5,7,6,4,1,3]=>[2,6,7,5,1,4,3]
[2,5,7,6,4,3,1]=>[7,2,6,5,1,4,3]
[2,6,1,3,4,5,7]=>[1,3,4,5,6,2,7]
[2,6,1,3,4,7,5]=>[7,1,3,4,5,2,6]
[2,6,1,3,5,4,7]=>[6,1,3,4,5,2,7]
[2,6,1,3,5,7,4]=>[5,7,1,3,4,2,6]
[2,6,1,3,7,4,5]=>[6,7,1,3,4,2,5]
[2,6,1,3,7,5,4]=>[7,6,1,3,4,2,5]
[2,6,1,4,3,5,7]=>[5,1,3,4,6,2,7]
[2,6,1,4,3,7,5]=>[4,7,1,3,5,2,6]
[2,6,1,4,5,3,7]=>[4,6,1,3,5,2,7]
[2,6,1,4,5,7,3]=>[4,5,7,1,3,2,6]
[2,6,1,4,7,3,5]=>[4,6,7,1,3,2,5]
[2,6,1,4,7,5,3]=>[7,4,6,1,3,2,5]
[2,6,1,5,3,4,7]=>[5,6,1,3,4,2,7]
[2,6,1,5,3,7,4]=>[7,5,1,3,4,2,6]
[2,6,1,5,4,3,7]=>[6,5,1,3,4,2,7]
[2,6,1,5,4,7,3]=>[5,4,7,1,3,2,6]
[2,6,1,5,7,3,4]=>[6,4,7,1,3,2,5]
[2,6,1,5,7,4,3]=>[4,7,6,1,3,2,5]
[2,6,1,7,3,4,5]=>[5,6,7,1,3,2,4]
[2,6,1,7,3,5,4]=>[7,5,6,1,3,2,4]
[2,6,1,7,4,3,5]=>[6,5,7,1,3,2,4]
[2,6,1,7,4,5,3]=>[5,7,6,1,3,2,4]
[2,6,1,7,5,3,4]=>[6,7,5,1,3,2,4]
[2,6,1,7,5,4,3]=>[7,6,5,1,3,2,4]
[2,6,3,1,4,5,7]=>[4,1,3,5,6,2,7]
[2,6,3,1,4,7,5]=>[3,7,1,4,5,2,6]
[2,6,3,1,5,4,7]=>[3,6,1,4,5,2,7]
[2,6,3,1,5,7,4]=>[3,5,7,1,4,2,6]
[2,6,3,1,7,4,5]=>[3,6,7,1,4,2,5]
[2,6,3,1,7,5,4]=>[7,3,6,1,4,2,5]
[2,6,3,4,1,5,7]=>[3,5,1,4,6,2,7]
[2,6,3,4,1,7,5]=>[3,4,7,1,5,2,6]
[2,6,3,4,5,1,7]=>[3,4,6,1,5,2,7]
[2,6,3,4,5,7,1]=>[3,4,5,1,2,7,6]
[2,6,3,4,7,1,5]=>[3,4,6,1,2,7,5]
[2,6,3,4,7,5,1]=>[7,3,4,1,2,6,5]
[2,6,3,5,1,4,7]=>[3,5,6,1,4,2,7]
[2,6,3,5,1,7,4]=>[7,3,5,1,4,2,6]
[2,6,3,5,4,1,7]=>[6,3,5,1,4,2,7]
[2,6,3,5,4,7,1]=>[5,3,4,1,2,7,6]
[2,6,3,5,7,1,4]=>[6,3,4,1,2,7,5]
[2,6,3,5,7,4,1]=>[4,7,3,1,2,6,5]
[2,6,3,7,1,4,5]=>[3,5,6,1,2,7,4]
[2,6,3,7,1,5,4]=>[7,3,5,1,2,6,4]
[2,6,3,7,4,1,5]=>[6,3,5,1,2,7,4]
[2,6,3,7,4,5,1]=>[5,7,3,1,2,6,4]
[2,6,3,7,5,1,4]=>[6,7,3,1,2,5,4]
[2,6,3,7,5,4,1]=>[7,6,3,1,2,5,4]
[2,6,4,1,3,5,7]=>[4,5,1,3,6,2,7]
[2,6,4,1,3,7,5]=>[7,4,1,3,5,2,6]
[2,6,4,1,5,3,7]=>[6,4,1,3,5,2,7]
[2,6,4,1,5,7,3]=>[5,3,7,1,4,2,6]
[2,6,4,1,7,3,5]=>[6,3,7,1,4,2,5]
[2,6,4,1,7,5,3]=>[3,7,6,1,4,2,5]
[2,6,4,3,1,5,7]=>[5,4,1,3,6,2,7]
[2,6,4,3,1,7,5]=>[4,3,7,1,5,2,6]
[2,6,4,3,5,1,7]=>[4,3,6,1,5,2,7]
[2,6,4,3,5,7,1]=>[4,3,5,1,2,7,6]
[2,6,4,3,7,1,5]=>[4,3,6,1,2,7,5]
[2,6,4,3,7,5,1]=>[3,7,4,1,2,6,5]
[2,6,4,5,1,3,7]=>[5,3,6,1,4,2,7]
[2,6,4,5,1,7,3]=>[3,7,5,1,4,2,6]
[2,6,4,5,3,1,7]=>[3,6,5,1,4,2,7]
[2,6,4,5,3,7,1]=>[3,5,4,1,2,7,6]
[2,6,4,5,7,1,3]=>[3,6,4,1,2,7,5]
[2,6,4,5,7,3,1]=>[3,4,2,7,1,6,5]
[2,6,4,7,1,3,5]=>[5,3,6,1,2,7,4]
[2,6,4,7,1,5,3]=>[3,7,5,1,2,6,4]
[2,6,4,7,3,1,5]=>[3,6,5,1,2,7,4]
[2,6,4,7,3,5,1]=>[3,5,2,7,1,6,4]
[2,6,4,7,5,1,3]=>[3,6,2,7,1,5,4]
[2,6,4,7,5,3,1]=>[7,3,2,6,1,5,4]
[2,6,5,1,3,4,7]=>[4,5,6,1,3,2,7]
[2,6,5,1,3,7,4]=>[7,4,5,1,3,2,6]
[2,6,5,1,4,3,7]=>[6,4,5,1,3,2,7]
[2,6,5,1,4,7,3]=>[5,7,4,1,3,2,6]
[2,6,5,1,7,3,4]=>[6,7,4,1,3,2,5]
[2,6,5,1,7,4,3]=>[7,6,4,1,3,2,5]
[2,6,5,3,1,4,7]=>[5,4,6,1,3,2,7]
[2,6,5,3,1,7,4]=>[4,7,5,1,3,2,6]
[2,6,5,3,4,1,7]=>[4,6,5,1,3,2,7]
[2,6,5,3,4,7,1]=>[4,5,3,1,2,7,6]
[2,6,5,3,7,1,4]=>[4,6,3,1,2,7,5]
[2,6,5,3,7,4,1]=>[7,4,3,1,2,6,5]
[2,6,5,4,1,3,7]=>[5,6,4,1,3,2,7]
[2,6,5,4,1,7,3]=>[7,5,4,1,3,2,6]
[2,6,5,4,3,1,7]=>[6,5,4,1,3,2,7]
[2,6,5,4,3,7,1]=>[5,4,3,1,2,7,6]
[2,6,5,4,7,1,3]=>[6,4,3,1,2,7,5]
[2,6,5,4,7,3,1]=>[4,3,2,7,1,6,5]
[2,6,5,7,1,3,4]=>[5,6,3,1,2,7,4]
[2,6,5,7,1,4,3]=>[7,5,3,1,2,6,4]
[2,6,5,7,3,1,4]=>[6,5,3,1,2,7,4]
[2,6,5,7,3,4,1]=>[5,3,2,7,1,6,4]
[2,6,5,7,4,1,3]=>[6,3,2,7,1,5,4]
[2,6,5,7,4,3,1]=>[3,2,7,6,1,5,4]
[2,6,7,1,3,4,5]=>[4,5,6,1,2,7,3]
[2,6,7,1,3,5,4]=>[7,4,5,1,2,6,3]
[2,6,7,1,4,3,5]=>[6,4,5,1,2,7,3]
[2,6,7,1,4,5,3]=>[5,7,4,1,2,6,3]
[2,6,7,1,5,3,4]=>[6,7,4,1,2,5,3]
[2,6,7,1,5,4,3]=>[7,6,4,1,2,5,3]
[2,6,7,3,1,4,5]=>[5,4,6,1,2,7,3]
[2,6,7,3,1,5,4]=>[4,7,5,1,2,6,3]
[2,6,7,3,4,1,5]=>[4,6,5,1,2,7,3]
[2,6,7,3,4,5,1]=>[4,5,2,7,1,6,3]
[2,6,7,3,5,1,4]=>[4,6,2,7,1,5,3]
[2,6,7,3,5,4,1]=>[7,4,2,6,1,5,3]
[2,6,7,4,1,3,5]=>[5,6,4,1,2,7,3]
[2,6,7,4,1,5,3]=>[7,5,4,1,2,6,3]
[2,6,7,4,3,1,5]=>[6,5,4,1,2,7,3]
[2,6,7,4,3,5,1]=>[5,4,2,7,1,6,3]
[2,6,7,4,5,1,3]=>[6,4,2,7,1,5,3]
[2,6,7,4,5,3,1]=>[4,2,7,6,1,5,3]
[2,6,7,5,1,3,4]=>[5,6,2,7,1,4,3]
[2,6,7,5,1,4,3]=>[7,5,2,6,1,4,3]
[2,6,7,5,3,1,4]=>[6,5,2,7,1,4,3]
[2,6,7,5,3,4,1]=>[5,2,7,6,1,4,3]
[2,6,7,5,4,1,3]=>[6,2,7,5,1,4,3]
[2,6,7,5,4,3,1]=>[2,7,6,5,1,4,3]
[2,7,1,3,4,5,6]=>[1,3,4,5,6,7,2]
[2,7,1,3,4,6,5]=>[7,1,3,4,5,6,2]
[2,7,1,3,5,4,6]=>[6,1,3,4,5,7,2]
[2,7,1,3,5,6,4]=>[5,7,1,3,4,6,2]
[2,7,1,3,6,4,5]=>[6,7,1,3,4,5,2]
[2,7,1,3,6,5,4]=>[7,6,1,3,4,5,2]
[2,7,1,4,3,5,6]=>[5,1,3,4,6,7,2]
[2,7,1,4,3,6,5]=>[4,7,1,3,5,6,2]
[2,7,1,4,5,3,6]=>[4,6,1,3,5,7,2]
[2,7,1,4,5,6,3]=>[4,5,7,1,3,6,2]
[2,7,1,4,6,3,5]=>[4,6,7,1,3,5,2]
[2,7,1,4,6,5,3]=>[7,4,6,1,3,5,2]
[2,7,1,5,3,4,6]=>[5,6,1,3,4,7,2]
[2,7,1,5,3,6,4]=>[7,5,1,3,4,6,2]
[2,7,1,5,4,3,6]=>[6,5,1,3,4,7,2]
[2,7,1,5,4,6,3]=>[5,4,7,1,3,6,2]
[2,7,1,5,6,3,4]=>[6,4,7,1,3,5,2]
[2,7,1,5,6,4,3]=>[4,7,6,1,3,5,2]
[2,7,1,6,3,4,5]=>[5,6,7,1,3,4,2]
[2,7,1,6,3,5,4]=>[7,5,6,1,3,4,2]
[2,7,1,6,4,3,5]=>[6,5,7,1,3,4,2]
[2,7,1,6,4,5,3]=>[5,7,6,1,3,4,2]
[2,7,1,6,5,3,4]=>[6,7,5,1,3,4,2]
[2,7,1,6,5,4,3]=>[7,6,5,1,3,4,2]
[2,7,3,1,4,5,6]=>[4,1,3,5,6,7,2]
[2,7,3,1,4,6,5]=>[3,7,1,4,5,6,2]
[2,7,3,1,5,4,6]=>[3,6,1,4,5,7,2]
[2,7,3,1,5,6,4]=>[3,5,7,1,4,6,2]
[2,7,3,1,6,4,5]=>[3,6,7,1,4,5,2]
[2,7,3,1,6,5,4]=>[7,3,6,1,4,5,2]
[2,7,3,4,1,5,6]=>[3,5,1,4,6,7,2]
[2,7,3,4,1,6,5]=>[3,4,7,1,5,6,2]
[2,7,3,4,5,1,6]=>[3,4,6,1,5,7,2]
[2,7,3,4,5,6,1]=>[3,4,5,7,1,6,2]
[2,7,3,4,6,1,5]=>[3,4,6,7,1,5,2]
[2,7,3,4,6,5,1]=>[7,3,4,6,1,5,2]
[2,7,3,5,1,4,6]=>[3,5,6,1,4,7,2]
[2,7,3,5,1,6,4]=>[7,3,5,1,4,6,2]
[2,7,3,5,4,1,6]=>[6,3,5,1,4,7,2]
[2,7,3,5,4,6,1]=>[5,3,4,7,1,6,2]
[2,7,3,5,6,1,4]=>[6,3,4,7,1,5,2]
[2,7,3,5,6,4,1]=>[4,7,3,6,1,5,2]
[2,7,3,6,1,4,5]=>[3,5,6,7,1,4,2]
[2,7,3,6,1,5,4]=>[7,3,5,6,1,4,2]
[2,7,3,6,4,1,5]=>[6,3,5,7,1,4,2]
[2,7,3,6,4,5,1]=>[5,7,3,6,1,4,2]
[2,7,3,6,5,1,4]=>[6,7,3,5,1,4,2]
[2,7,3,6,5,4,1]=>[7,6,3,5,1,4,2]
[2,7,4,1,3,5,6]=>[4,5,1,3,6,7,2]
[2,7,4,1,3,6,5]=>[7,4,1,3,5,6,2]
[2,7,4,1,5,3,6]=>[6,4,1,3,5,7,2]
[2,7,4,1,5,6,3]=>[5,3,7,1,4,6,2]
[2,7,4,1,6,3,5]=>[6,3,7,1,4,5,2]
[2,7,4,1,6,5,3]=>[3,7,6,1,4,5,2]
[2,7,4,3,1,5,6]=>[5,4,1,3,6,7,2]
[2,7,4,3,1,6,5]=>[4,3,7,1,5,6,2]
[2,7,4,3,5,1,6]=>[4,3,6,1,5,7,2]
[2,7,4,3,5,6,1]=>[4,3,5,7,1,6,2]
[2,7,4,3,6,1,5]=>[4,3,6,7,1,5,2]
[2,7,4,3,6,5,1]=>[3,7,4,6,1,5,2]
[2,7,4,5,1,3,6]=>[5,3,6,1,4,7,2]
[2,7,4,5,1,6,3]=>[3,7,5,1,4,6,2]
[2,7,4,5,3,1,6]=>[3,6,5,1,4,7,2]
[2,7,4,5,3,6,1]=>[3,5,4,7,1,6,2]
[2,7,4,5,6,1,3]=>[3,6,4,7,1,5,2]
[2,7,4,5,6,3,1]=>[3,4,7,6,1,5,2]
[2,7,4,6,1,3,5]=>[5,3,6,7,1,4,2]
[2,7,4,6,1,5,3]=>[3,7,5,6,1,4,2]
[2,7,4,6,3,1,5]=>[3,6,5,7,1,4,2]
[2,7,4,6,3,5,1]=>[3,5,7,6,1,4,2]
[2,7,4,6,5,1,3]=>[3,6,7,5,1,4,2]
[2,7,4,6,5,3,1]=>[7,3,6,5,1,4,2]
[2,7,5,1,3,4,6]=>[4,5,6,1,3,7,2]
[2,7,5,1,3,6,4]=>[7,4,5,1,3,6,2]
[2,7,5,1,4,3,6]=>[6,4,5,1,3,7,2]
[2,7,5,1,4,6,3]=>[5,7,4,1,3,6,2]
[2,7,5,1,6,3,4]=>[6,7,4,1,3,5,2]
[2,7,5,1,6,4,3]=>[7,6,4,1,3,5,2]
[2,7,5,3,1,4,6]=>[5,4,6,1,3,7,2]
[2,7,5,3,1,6,4]=>[4,7,5,1,3,6,2]
[2,7,5,3,4,1,6]=>[4,6,5,1,3,7,2]
[2,7,5,3,4,6,1]=>[4,5,3,7,1,6,2]
[2,7,5,3,6,1,4]=>[4,6,3,7,1,5,2]
[2,7,5,3,6,4,1]=>[7,4,3,6,1,5,2]
[2,7,5,4,1,3,6]=>[5,6,4,1,3,7,2]
[2,7,5,4,1,6,3]=>[7,5,4,1,3,6,2]
[2,7,5,4,3,1,6]=>[6,5,4,1,3,7,2]
[2,7,5,4,3,6,1]=>[5,4,3,7,1,6,2]
[2,7,5,4,6,1,3]=>[6,4,3,7,1,5,2]
[2,7,5,4,6,3,1]=>[4,3,7,6,1,5,2]
[2,7,5,6,1,3,4]=>[5,6,3,7,1,4,2]
[2,7,5,6,1,4,3]=>[7,5,3,6,1,4,2]
[2,7,5,6,3,1,4]=>[6,5,3,7,1,4,2]
[2,7,5,6,3,4,1]=>[5,3,7,6,1,4,2]
[2,7,5,6,4,1,3]=>[6,3,7,5,1,4,2]
[2,7,5,6,4,3,1]=>[3,7,6,5,1,4,2]
[2,7,6,1,3,4,5]=>[4,5,6,7,1,3,2]
[2,7,6,1,3,5,4]=>[7,4,5,6,1,3,2]
[2,7,6,1,4,3,5]=>[6,4,5,7,1,3,2]
[2,7,6,1,4,5,3]=>[5,7,4,6,1,3,2]
[2,7,6,1,5,3,4]=>[6,7,4,5,1,3,2]
[2,7,6,1,5,4,3]=>[7,6,4,5,1,3,2]
[2,7,6,3,1,4,5]=>[5,4,6,7,1,3,2]
[2,7,6,3,1,5,4]=>[4,7,5,6,1,3,2]
[2,7,6,3,4,1,5]=>[4,6,5,7,1,3,2]
[2,7,6,3,4,5,1]=>[4,5,7,6,1,3,2]
[2,7,6,3,5,1,4]=>[4,6,7,5,1,3,2]
[2,7,6,3,5,4,1]=>[7,4,6,5,1,3,2]
[2,7,6,4,1,3,5]=>[5,6,4,7,1,3,2]
[2,7,6,4,1,5,3]=>[7,5,4,6,1,3,2]
[2,7,6,4,3,1,5]=>[6,5,4,7,1,3,2]
[2,7,6,4,3,5,1]=>[5,4,7,6,1,3,2]
[2,7,6,4,5,1,3]=>[6,4,7,5,1,3,2]
[2,7,6,4,5,3,1]=>[4,7,6,5,1,3,2]
[2,7,6,5,1,3,4]=>[5,6,7,4,1,3,2]
[2,7,6,5,1,4,3]=>[7,5,6,4,1,3,2]
[2,7,6,5,3,1,4]=>[6,5,7,4,1,3,2]
[2,7,6,5,3,4,1]=>[5,7,6,4,1,3,2]
[2,7,6,5,4,1,3]=>[6,7,5,4,1,3,2]
[2,7,6,5,4,3,1]=>[7,6,5,4,1,3,2]
[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[3,1,2,4,5,7,6]=>[7,2,1,3,4,5,6]
[3,1,2,4,6,5,7]=>[6,2,1,3,4,5,7]
[3,1,2,4,6,7,5]=>[5,1,7,2,3,4,6]
[3,1,2,4,7,5,6]=>[6,1,7,2,3,4,5]
[3,1,2,4,7,6,5]=>[1,7,6,2,3,4,5]
[3,1,2,5,4,6,7]=>[5,2,1,3,4,6,7]
[3,1,2,5,4,7,6]=>[4,1,7,2,3,5,6]
[3,1,2,5,6,4,7]=>[4,1,6,2,3,5,7]
[3,1,2,5,6,7,4]=>[4,1,5,7,2,3,6]
[3,1,2,5,7,4,6]=>[4,1,6,7,2,3,5]
[3,1,2,5,7,6,4]=>[1,7,4,6,2,3,5]
[3,1,2,6,4,5,7]=>[5,1,6,2,3,4,7]
[3,1,2,6,4,7,5]=>[1,7,5,2,3,4,6]
[3,1,2,6,5,4,7]=>[1,6,5,2,3,4,7]
[3,1,2,6,5,7,4]=>[1,5,4,7,2,3,6]
[3,1,2,6,7,4,5]=>[1,6,4,7,2,3,5]
[3,1,2,6,7,5,4]=>[1,4,7,6,2,3,5]
[3,1,2,7,4,5,6]=>[5,1,6,7,2,3,4]
[3,1,2,7,4,6,5]=>[1,7,5,6,2,3,4]
[3,1,2,7,5,4,6]=>[1,6,5,7,2,3,4]
[3,1,2,7,5,6,4]=>[1,5,7,6,2,3,4]
[3,1,2,7,6,4,5]=>[1,6,7,5,2,3,4]
[3,1,2,7,6,5,4]=>[7,1,6,5,2,3,4]
[3,1,4,2,5,6,7]=>[4,2,1,3,5,6,7]
[3,1,4,2,5,7,6]=>[3,1,7,2,4,5,6]
[3,1,4,2,6,5,7]=>[3,1,6,2,4,5,7]
[3,1,4,2,6,7,5]=>[3,1,5,7,2,4,6]
[3,1,4,2,7,5,6]=>[3,1,6,7,2,4,5]
[3,1,4,2,7,6,5]=>[1,7,3,6,2,4,5]
[3,1,4,5,2,6,7]=>[3,1,5,2,4,6,7]
[3,1,4,5,2,7,6]=>[3,1,4,7,2,5,6]
[3,1,4,5,6,2,7]=>[3,1,4,6,2,5,7]
[3,1,4,5,6,7,2]=>[3,1,4,5,7,2,6]
[3,1,4,5,7,2,6]=>[3,1,4,6,7,2,5]
[3,1,4,5,7,6,2]=>[1,7,3,4,6,2,5]
[3,1,4,6,2,5,7]=>[3,1,5,6,2,4,7]
[3,1,4,6,2,7,5]=>[1,7,3,5,2,4,6]
[3,1,4,6,5,2,7]=>[1,6,3,5,2,4,7]
[3,1,4,6,5,7,2]=>[1,5,3,4,7,2,6]
[3,1,4,6,7,2,5]=>[1,6,3,4,7,2,5]
[3,1,4,6,7,5,2]=>[1,4,7,3,6,2,5]
[3,1,4,7,2,5,6]=>[3,1,5,6,7,2,4]
[3,1,4,7,2,6,5]=>[1,7,3,5,6,2,4]
[3,1,4,7,5,2,6]=>[1,6,3,5,7,2,4]
[3,1,4,7,5,6,2]=>[1,5,7,3,6,2,4]
[3,1,4,7,6,2,5]=>[1,6,7,3,5,2,4]
[3,1,4,7,6,5,2]=>[7,1,6,3,5,2,4]
[3,1,5,2,4,6,7]=>[4,1,5,2,3,6,7]
[3,1,5,2,4,7,6]=>[1,7,4,2,3,5,6]
[3,1,5,2,6,4,7]=>[1,6,4,2,3,5,7]
[3,1,5,2,6,7,4]=>[1,5,3,7,2,4,6]
[3,1,5,2,7,4,6]=>[1,6,3,7,2,4,5]
[3,1,5,2,7,6,4]=>[1,3,7,6,2,4,5]
[3,1,5,4,2,6,7]=>[1,5,4,2,3,6,7]
[3,1,5,4,2,7,6]=>[1,4,3,7,2,5,6]
[3,1,5,4,6,2,7]=>[1,4,3,6,2,5,7]
[3,1,5,4,6,7,2]=>[1,4,3,5,7,2,6]
[3,1,5,4,7,2,6]=>[1,4,3,6,7,2,5]
[3,1,5,4,7,6,2]=>[1,3,7,4,6,2,5]
[3,1,5,6,2,4,7]=>[1,5,3,6,2,4,7]
[3,1,5,6,2,7,4]=>[1,3,7,5,2,4,6]
[3,1,5,6,4,2,7]=>[1,3,6,5,2,4,7]
[3,1,5,6,4,7,2]=>[1,3,5,4,7,2,6]
[3,1,5,6,7,2,4]=>[1,3,6,4,7,2,5]
[3,1,5,6,7,4,2]=>[1,3,4,7,6,2,5]
[3,1,5,7,2,4,6]=>[1,5,3,6,7,2,4]
[3,1,5,7,2,6,4]=>[1,3,7,5,6,2,4]
[3,1,5,7,4,2,6]=>[1,3,6,5,7,2,4]
[3,1,5,7,4,6,2]=>[1,3,5,7,6,2,4]
[3,1,5,7,6,2,4]=>[1,3,6,7,5,2,4]
[3,1,5,7,6,4,2]=>[7,1,3,6,5,2,4]
[3,1,6,2,4,5,7]=>[4,1,5,6,2,3,7]
[3,1,6,2,4,7,5]=>[1,7,4,5,2,3,6]
[3,1,6,2,5,4,7]=>[1,6,4,5,2,3,7]
[3,1,6,2,5,7,4]=>[1,5,7,4,2,3,6]
[3,1,6,2,7,4,5]=>[1,6,7,4,2,3,5]
[3,1,6,2,7,5,4]=>[7,1,6,4,2,3,5]
[3,1,6,4,2,5,7]=>[1,5,4,6,2,3,7]
[3,1,6,4,2,7,5]=>[1,4,7,5,2,3,6]
[3,1,6,4,5,2,7]=>[1,4,6,5,2,3,7]
[3,1,6,4,5,7,2]=>[1,4,5,3,7,2,6]
[3,1,6,4,7,2,5]=>[1,4,6,3,7,2,5]
[3,1,6,4,7,5,2]=>[7,1,4,3,6,2,5]
[3,1,6,5,2,4,7]=>[1,5,6,4,2,3,7]
[3,1,6,5,2,7,4]=>[7,1,5,4,2,3,6]
[3,1,6,5,4,2,7]=>[6,1,5,4,2,3,7]
[3,1,6,5,4,7,2]=>[5,1,4,3,7,2,6]
[3,1,6,5,7,2,4]=>[6,1,4,3,7,2,5]
[3,1,6,5,7,4,2]=>[4,1,3,7,6,2,5]
[3,1,6,7,2,4,5]=>[1,5,6,3,7,2,4]
[3,1,6,7,2,5,4]=>[7,1,5,3,6,2,4]
[3,1,6,7,4,2,5]=>[6,1,5,3,7,2,4]
[3,1,6,7,4,5,2]=>[5,1,3,7,6,2,4]
[3,1,6,7,5,2,4]=>[6,1,3,7,5,2,4]
[3,1,6,7,5,4,2]=>[3,7,1,6,5,2,4]
[3,1,7,2,4,5,6]=>[4,1,5,6,7,2,3]
[3,1,7,2,4,6,5]=>[1,7,4,5,6,2,3]
[3,1,7,2,5,4,6]=>[1,6,4,5,7,2,3]
[3,1,7,2,5,6,4]=>[1,5,7,4,6,2,3]
[3,1,7,2,6,4,5]=>[1,6,7,4,5,2,3]
[3,1,7,2,6,5,4]=>[7,1,6,4,5,2,3]
[3,1,7,4,2,5,6]=>[1,5,4,6,7,2,3]
[3,1,7,4,2,6,5]=>[1,4,7,5,6,2,3]
[3,1,7,4,5,2,6]=>[1,4,6,5,7,2,3]
[3,1,7,4,5,6,2]=>[1,4,5,7,6,2,3]
[3,1,7,4,6,2,5]=>[1,4,6,7,5,2,3]
[3,1,7,4,6,5,2]=>[7,1,4,6,5,2,3]
[3,1,7,5,2,4,6]=>[1,5,6,4,7,2,3]
[3,1,7,5,2,6,4]=>[7,1,5,4,6,2,3]
[3,1,7,5,4,2,6]=>[6,1,5,4,7,2,3]
[3,1,7,5,4,6,2]=>[5,1,4,7,6,2,3]
[3,1,7,5,6,2,4]=>[6,1,4,7,5,2,3]
[3,1,7,5,6,4,2]=>[4,7,1,6,5,2,3]
[3,1,7,6,2,4,5]=>[1,5,6,7,4,2,3]
[3,1,7,6,2,5,4]=>[7,1,5,6,4,2,3]
[3,1,7,6,4,2,5]=>[6,1,5,7,4,2,3]
[3,1,7,6,4,5,2]=>[5,7,1,6,4,2,3]
[3,1,7,6,5,2,4]=>[6,7,1,5,4,2,3]
[3,1,7,6,5,4,2]=>[7,6,1,5,4,2,3]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[3,2,1,4,5,7,6]=>[2,1,7,3,4,5,6]
[3,2,1,4,6,5,7]=>[2,1,6,3,4,5,7]
[3,2,1,4,6,7,5]=>[2,1,5,7,3,4,6]
[3,2,1,4,7,5,6]=>[2,1,6,7,3,4,5]
[3,2,1,4,7,6,5]=>[1,7,2,6,3,4,5]
[3,2,1,5,4,6,7]=>[2,1,5,3,4,6,7]
[3,2,1,5,4,7,6]=>[2,1,4,7,3,5,6]
[3,2,1,5,6,4,7]=>[2,1,4,6,3,5,7]
[3,2,1,5,6,7,4]=>[2,1,4,5,7,3,6]
[3,2,1,5,7,4,6]=>[2,1,4,6,7,3,5]
[3,2,1,5,7,6,4]=>[1,7,2,4,6,3,5]
[3,2,1,6,4,5,7]=>[2,1,5,6,3,4,7]
[3,2,1,6,4,7,5]=>[1,7,2,5,3,4,6]
[3,2,1,6,5,4,7]=>[1,6,2,5,3,4,7]
[3,2,1,6,5,7,4]=>[1,5,2,4,7,3,6]
[3,2,1,6,7,4,5]=>[1,6,2,4,7,3,5]
[3,2,1,6,7,5,4]=>[1,4,7,2,6,3,5]
[3,2,1,7,4,5,6]=>[2,1,5,6,7,3,4]
[3,2,1,7,4,6,5]=>[1,7,2,5,6,3,4]
[3,2,1,7,5,4,6]=>[1,6,2,5,7,3,4]
[3,2,1,7,5,6,4]=>[1,5,7,2,6,3,4]
[3,2,1,7,6,4,5]=>[1,6,7,2,5,3,4]
[3,2,1,7,6,5,4]=>[7,1,6,2,5,3,4]
[3,2,4,1,5,6,7]=>[2,1,4,3,5,6,7]
[3,2,4,1,5,7,6]=>[2,1,3,7,4,5,6]
[3,2,4,1,6,5,7]=>[2,1,3,6,4,5,7]
[3,2,4,1,6,7,5]=>[2,1,3,5,7,4,6]
[3,2,4,1,7,5,6]=>[2,1,3,6,7,4,5]
[3,2,4,1,7,6,5]=>[1,7,2,3,6,4,5]
[3,2,4,5,1,6,7]=>[2,1,3,5,4,6,7]
[3,2,4,5,1,7,6]=>[2,1,3,4,7,5,6]
[3,2,4,5,6,1,7]=>[2,1,3,4,6,5,7]
[3,2,4,5,6,7,1]=>[2,1,3,4,5,7,6]
[3,2,4,5,7,1,6]=>[2,1,3,4,6,7,5]
[3,2,4,5,7,6,1]=>[1,7,2,3,4,6,5]
[3,2,4,6,1,5,7]=>[2,1,3,5,6,4,7]
[3,2,4,6,1,7,5]=>[1,7,2,3,5,4,6]
[3,2,4,6,5,1,7]=>[1,6,2,3,5,4,7]
[3,2,4,6,5,7,1]=>[1,5,2,3,4,7,6]
[3,2,4,6,7,1,5]=>[1,6,2,3,4,7,5]
[3,2,4,6,7,5,1]=>[1,4,7,2,3,6,5]
[3,2,4,7,1,5,6]=>[2,1,3,5,6,7,4]
[3,2,4,7,1,6,5]=>[1,7,2,3,5,6,4]
[3,2,4,7,5,1,6]=>[1,6,2,3,5,7,4]
[3,2,4,7,5,6,1]=>[1,5,7,2,3,6,4]
[3,2,4,7,6,1,5]=>[1,6,7,2,3,5,4]
[3,2,4,7,6,5,1]=>[7,1,6,2,3,5,4]
[3,2,5,1,4,6,7]=>[2,1,4,5,3,6,7]
[3,2,5,1,4,7,6]=>[1,7,2,4,3,5,6]
[3,2,5,1,6,4,7]=>[1,6,2,4,3,5,7]
[3,2,5,1,6,7,4]=>[1,5,2,3,7,4,6]
[3,2,5,1,7,4,6]=>[1,6,2,3,7,4,5]
[3,2,5,1,7,6,4]=>[1,3,7,2,6,4,5]
[3,2,5,4,1,6,7]=>[1,5,2,4,3,6,7]
[3,2,5,4,1,7,6]=>[1,4,2,3,7,5,6]
[3,2,5,4,6,1,7]=>[1,4,2,3,6,5,7]
[3,2,5,4,6,7,1]=>[1,4,2,3,5,7,6]
[3,2,5,4,7,1,6]=>[1,4,2,3,6,7,5]
[3,2,5,4,7,6,1]=>[1,3,7,2,4,6,5]
[3,2,5,6,1,4,7]=>[1,5,2,3,6,4,7]
[3,2,5,6,1,7,4]=>[1,3,7,2,5,4,6]
[3,2,5,6,4,1,7]=>[1,3,6,2,5,4,7]
[3,2,5,6,4,7,1]=>[1,3,5,2,4,7,6]
[3,2,5,6,7,1,4]=>[1,3,6,2,4,7,5]
[3,2,5,6,7,4,1]=>[1,3,4,7,2,6,5]
[3,2,5,7,1,4,6]=>[1,5,2,3,6,7,4]
[3,2,5,7,1,6,4]=>[1,3,7,2,5,6,4]
[3,2,5,7,4,1,6]=>[1,3,6,2,5,7,4]
[3,2,5,7,4,6,1]=>[1,3,5,7,2,6,4]
[3,2,5,7,6,1,4]=>[1,3,6,7,2,5,4]
[3,2,5,7,6,4,1]=>[7,1,3,6,2,5,4]
[3,2,6,1,4,5,7]=>[2,1,4,5,6,3,7]
[3,2,6,1,4,7,5]=>[1,7,2,4,5,3,6]
[3,2,6,1,5,4,7]=>[1,6,2,4,5,3,7]
[3,2,6,1,5,7,4]=>[1,5,7,2,4,3,6]
[3,2,6,1,7,4,5]=>[1,6,7,2,4,3,5]
[3,2,6,1,7,5,4]=>[7,1,6,2,4,3,5]
[3,2,6,4,1,5,7]=>[1,5,2,4,6,3,7]
[3,2,6,4,1,7,5]=>[1,4,7,2,5,3,6]
[3,2,6,4,5,1,7]=>[1,4,6,2,5,3,7]
[3,2,6,4,5,7,1]=>[1,4,5,2,3,7,6]
[3,2,6,4,7,1,5]=>[1,4,6,2,3,7,5]
[3,2,6,4,7,5,1]=>[7,1,4,2,3,6,5]
[3,2,6,5,1,4,7]=>[1,5,6,2,4,3,7]
[3,2,6,5,1,7,4]=>[7,1,5,2,4,3,6]
[3,2,6,5,4,1,7]=>[6,1,5,2,4,3,7]
[3,2,6,5,4,7,1]=>[5,1,4,2,3,7,6]
[3,2,6,5,7,1,4]=>[6,1,4,2,3,7,5]
[3,2,6,5,7,4,1]=>[4,1,3,7,2,6,5]
[3,2,6,7,1,4,5]=>[1,5,6,2,3,7,4]
[3,2,6,7,1,5,4]=>[7,1,5,2,3,6,4]
[3,2,6,7,4,1,5]=>[6,1,5,2,3,7,4]
[3,2,6,7,4,5,1]=>[5,1,3,7,2,6,4]
[3,2,6,7,5,1,4]=>[6,1,3,7,2,5,4]
[3,2,6,7,5,4,1]=>[3,7,1,6,2,5,4]
[3,2,7,1,4,5,6]=>[2,1,4,5,6,7,3]
[3,2,7,1,4,6,5]=>[1,7,2,4,5,6,3]
[3,2,7,1,5,4,6]=>[1,6,2,4,5,7,3]
[3,2,7,1,5,6,4]=>[1,5,7,2,4,6,3]
[3,2,7,1,6,4,5]=>[1,6,7,2,4,5,3]
[3,2,7,1,6,5,4]=>[7,1,6,2,4,5,3]
[3,2,7,4,1,5,6]=>[1,5,2,4,6,7,3]
[3,2,7,4,1,6,5]=>[1,4,7,2,5,6,3]
[3,2,7,4,5,1,6]=>[1,4,6,2,5,7,3]
[3,2,7,4,5,6,1]=>[1,4,5,7,2,6,3]
[3,2,7,4,6,1,5]=>[1,4,6,7,2,5,3]
[3,2,7,4,6,5,1]=>[7,1,4,6,2,5,3]
[3,2,7,5,1,4,6]=>[1,5,6,2,4,7,3]
[3,2,7,5,1,6,4]=>[7,1,5,2,4,6,3]
[3,2,7,5,4,1,6]=>[6,1,5,2,4,7,3]
[3,2,7,5,4,6,1]=>[5,1,4,7,2,6,3]
[3,2,7,5,6,1,4]=>[6,1,4,7,2,5,3]
[3,2,7,5,6,4,1]=>[4,7,1,6,2,5,3]
[3,2,7,6,1,4,5]=>[1,5,6,7,2,4,3]
[3,2,7,6,1,5,4]=>[7,1,5,6,2,4,3]
[3,2,7,6,4,1,5]=>[6,1,5,7,2,4,3]
[3,2,7,6,4,5,1]=>[5,7,1,6,2,4,3]
[3,2,7,6,5,1,4]=>[6,7,1,5,2,4,3]
[3,2,7,6,5,4,1]=>[7,6,1,5,2,4,3]
[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]
[3,4,1,2,5,7,6]=>[1,7,3,2,4,5,6]
[3,4,1,2,6,5,7]=>[1,6,3,2,4,5,7]
[3,4,1,2,6,7,5]=>[1,5,2,7,3,4,6]
[3,4,1,2,7,5,6]=>[1,6,2,7,3,4,5]
[3,4,1,2,7,6,5]=>[1,2,7,6,3,4,5]
[3,4,1,5,2,6,7]=>[1,5,3,2,4,6,7]
[3,4,1,5,2,7,6]=>[1,4,2,7,3,5,6]
[3,4,1,5,6,2,7]=>[1,4,2,6,3,5,7]
[3,4,1,5,6,7,2]=>[1,4,2,5,7,3,6]
[3,4,1,5,7,2,6]=>[1,4,2,6,7,3,5]
[3,4,1,5,7,6,2]=>[1,2,7,4,6,3,5]
[3,4,1,6,2,5,7]=>[1,5,2,6,3,4,7]
[3,4,1,6,2,7,5]=>[1,2,7,5,3,4,6]
[3,4,1,6,5,2,7]=>[1,2,6,5,3,4,7]
[3,4,1,6,5,7,2]=>[1,2,5,4,7,3,6]
[3,4,1,6,7,2,5]=>[1,2,6,4,7,3,5]
[3,4,1,6,7,5,2]=>[1,2,4,7,6,3,5]
[3,4,1,7,2,5,6]=>[1,5,2,6,7,3,4]
[3,4,1,7,2,6,5]=>[1,2,7,5,6,3,4]
[3,4,1,7,5,2,6]=>[1,2,6,5,7,3,4]
[3,4,1,7,5,6,2]=>[1,2,5,7,6,3,4]
[3,4,1,7,6,2,5]=>[1,2,6,7,5,3,4]
[3,4,1,7,6,5,2]=>[7,1,2,6,5,3,4]
[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7]
[3,4,2,1,5,7,6]=>[1,3,2,7,4,5,6]
[3,4,2,1,6,5,7]=>[1,3,2,6,4,5,7]
[3,4,2,1,6,7,5]=>[1,3,2,5,7,4,6]
[3,4,2,1,7,5,6]=>[1,3,2,6,7,4,5]
[3,4,2,1,7,6,5]=>[1,2,7,3,6,4,5]
[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7]
[3,4,2,5,1,7,6]=>[1,3,2,4,7,5,6]
[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7]
[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6]
[3,4,2,5,7,1,6]=>[1,3,2,4,6,7,5]
[3,4,2,5,7,6,1]=>[1,2,7,3,4,6,5]
[3,4,2,6,1,5,7]=>[1,3,2,5,6,4,7]
[3,4,2,6,1,7,5]=>[1,2,7,3,5,4,6]
[3,4,2,6,5,1,7]=>[1,2,6,3,5,4,7]
[3,4,2,6,5,7,1]=>[1,2,5,3,4,7,6]
[3,4,2,6,7,1,5]=>[1,2,6,3,4,7,5]
[3,4,2,6,7,5,1]=>[1,2,4,7,3,6,5]
[3,4,2,7,1,5,6]=>[1,3,2,5,6,7,4]
[3,4,2,7,1,6,5]=>[1,2,7,3,5,6,4]
[3,4,2,7,5,1,6]=>[1,2,6,3,5,7,4]
[3,4,2,7,5,6,1]=>[1,2,5,7,3,6,4]
[3,4,2,7,6,1,5]=>[1,2,6,7,3,5,4]
[3,4,2,7,6,5,1]=>[7,1,2,6,3,5,4]
[3,4,5,1,2,6,7]=>[1,4,2,5,3,6,7]
[3,4,5,1,2,7,6]=>[1,2,7,4,3,5,6]
[3,4,5,1,6,2,7]=>[1,2,6,4,3,5,7]
[3,4,5,1,6,7,2]=>[1,2,5,3,7,4,6]
[3,4,5,1,7,2,6]=>[1,2,6,3,7,4,5]
[3,4,5,1,7,6,2]=>[1,2,3,7,6,4,5]
[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7]
[3,4,5,2,1,7,6]=>[1,2,4,3,7,5,6]
[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7]
[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6]
[3,4,5,2,7,1,6]=>[1,2,4,3,6,7,5]
[3,4,5,2,7,6,1]=>[1,2,3,7,4,6,5]
[3,4,5,6,1,2,7]=>[1,2,5,3,6,4,7]
[3,4,5,6,1,7,2]=>[1,2,3,7,5,4,6]
[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7]
[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6]
[3,4,5,6,7,1,2]=>[1,2,3,6,4,7,5]
[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5]
[3,4,5,7,1,2,6]=>[1,2,5,3,6,7,4]
[3,4,5,7,1,6,2]=>[1,2,3,7,5,6,4]
[3,4,5,7,2,1,6]=>[1,2,3,6,5,7,4]
[3,4,5,7,2,6,1]=>[1,2,3,5,7,6,4]
[3,4,5,7,6,1,2]=>[1,2,3,6,7,5,4]
[3,4,5,7,6,2,1]=>[7,1,2,3,6,5,4]
[3,4,6,1,2,5,7]=>[1,4,2,5,6,3,7]
[3,4,6,1,2,7,5]=>[1,2,7,4,5,3,6]
[3,4,6,1,5,2,7]=>[1,2,6,4,5,3,7]
[3,4,6,1,5,7,2]=>[1,2,5,7,4,3,6]
[3,4,6,1,7,2,5]=>[1,2,6,7,4,3,5]
[3,4,6,1,7,5,2]=>[7,1,2,6,4,3,5]
[3,4,6,2,1,5,7]=>[1,2,5,4,6,3,7]
[3,4,6,2,1,7,5]=>[1,2,4,7,5,3,6]
[3,4,6,2,5,1,7]=>[1,2,4,6,5,3,7]
[3,4,6,2,5,7,1]=>[1,2,4,5,3,7,6]
[3,4,6,2,7,1,5]=>[1,2,4,6,3,7,5]
[3,4,6,2,7,5,1]=>[7,1,2,4,3,6,5]
[3,4,6,5,1,2,7]=>[1,2,5,6,4,3,7]
[3,4,6,5,1,7,2]=>[7,1,2,5,4,3,6]
[3,4,6,5,2,1,7]=>[6,1,2,5,4,3,7]
[3,4,6,5,2,7,1]=>[5,1,2,4,3,7,6]
[3,4,6,5,7,1,2]=>[6,1,2,4,3,7,5]
[3,4,6,5,7,2,1]=>[4,1,2,3,7,6,5]
[3,4,6,7,1,2,5]=>[1,2,5,6,3,7,4]
[3,4,6,7,1,5,2]=>[7,1,2,5,3,6,4]
[3,4,6,7,2,1,5]=>[6,1,2,5,3,7,4]
[3,4,6,7,2,5,1]=>[5,1,2,3,7,6,4]
[3,4,6,7,5,1,2]=>[6,1,2,3,7,5,4]
[3,4,6,7,5,2,1]=>[3,7,1,2,6,5,4]
[3,4,7,1,2,5,6]=>[1,4,2,5,6,7,3]
[3,4,7,1,2,6,5]=>[1,2,7,4,5,6,3]
[3,4,7,1,5,2,6]=>[1,2,6,4,5,7,3]
[3,4,7,1,5,6,2]=>[1,2,5,7,4,6,3]
[3,4,7,1,6,2,5]=>[1,2,6,7,4,5,3]
[3,4,7,1,6,5,2]=>[7,1,2,6,4,5,3]
[3,4,7,2,1,5,6]=>[1,2,5,4,6,7,3]
[3,4,7,2,1,6,5]=>[1,2,4,7,5,6,3]
[3,4,7,2,5,1,6]=>[1,2,4,6,5,7,3]
[3,4,7,2,5,6,1]=>[1,2,4,5,7,6,3]
[3,4,7,2,6,1,5]=>[1,2,4,6,7,5,3]
[3,4,7,2,6,5,1]=>[7,1,2,4,6,5,3]
[3,4,7,5,1,2,6]=>[1,2,5,6,4,7,3]
[3,4,7,5,1,6,2]=>[7,1,2,5,4,6,3]
[3,4,7,5,2,1,6]=>[6,1,2,5,4,7,3]
[3,4,7,5,2,6,1]=>[5,1,2,4,7,6,3]
[3,4,7,5,6,1,2]=>[6,1,2,4,7,5,3]
[3,4,7,5,6,2,1]=>[4,7,1,2,6,5,3]
[3,4,7,6,1,2,5]=>[1,2,5,6,7,4,3]
[3,4,7,6,1,5,2]=>[7,1,2,5,6,4,3]
[3,4,7,6,2,1,5]=>[6,1,2,5,7,4,3]
[3,4,7,6,2,5,1]=>[5,7,1,2,6,4,3]
[3,4,7,6,5,1,2]=>[6,7,1,2,5,4,3]
[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3]
[3,5,1,2,4,6,7]=>[3,1,4,5,2,6,7]
[3,5,1,2,4,7,6]=>[1,7,3,4,2,5,6]
[3,5,1,2,6,4,7]=>[1,6,3,4,2,5,7]
[3,5,1,2,6,7,4]=>[1,5,7,3,2,4,6]
[3,5,1,2,7,4,6]=>[1,6,7,3,2,4,5]
[3,5,1,2,7,6,4]=>[7,1,6,3,2,4,5]
[3,5,1,4,2,6,7]=>[1,5,3,4,2,6,7]
[3,5,1,4,2,7,6]=>[1,4,7,3,2,5,6]
[3,5,1,4,6,2,7]=>[1,4,6,3,2,5,7]
[3,5,1,4,6,7,2]=>[1,4,5,2,7,3,6]
[3,5,1,4,7,2,6]=>[1,4,6,2,7,3,5]
[3,5,1,4,7,6,2]=>[7,1,4,2,6,3,5]
[3,5,1,6,2,4,7]=>[1,5,6,3,2,4,7]
[3,5,1,6,2,7,4]=>[7,1,5,3,2,4,6]
[3,5,1,6,4,2,7]=>[6,1,5,3,2,4,7]
[3,5,1,6,4,7,2]=>[5,1,4,2,7,3,6]
[3,5,1,6,7,2,4]=>[6,1,4,2,7,3,5]
[3,5,1,6,7,4,2]=>[4,1,2,7,6,3,5]
[3,5,1,7,2,4,6]=>[1,5,6,2,7,3,4]
[3,5,1,7,2,6,4]=>[7,1,5,2,6,3,4]
[3,5,1,7,4,2,6]=>[6,1,5,2,7,3,4]
[3,5,1,7,4,6,2]=>[5,1,2,7,6,3,4]
[3,5,1,7,6,2,4]=>[6,1,2,7,5,3,4]
[3,5,1,7,6,4,2]=>[2,7,1,6,5,3,4]
[3,5,2,1,4,6,7]=>[1,4,3,5,2,6,7]
[3,5,2,1,4,7,6]=>[1,3,7,4,2,5,6]
[3,5,2,1,6,4,7]=>[1,3,6,4,2,5,7]
[3,5,2,1,6,7,4]=>[1,3,5,2,7,4,6]
[3,5,2,1,7,4,6]=>[1,3,6,2,7,4,5]
[3,5,2,1,7,6,4]=>[7,1,3,2,6,4,5]
[3,5,2,4,1,6,7]=>[1,3,5,4,2,6,7]
[3,5,2,4,1,7,6]=>[1,3,4,2,7,5,6]
[3,5,2,4,6,1,7]=>[1,3,4,2,6,5,7]
[3,5,2,4,6,7,1]=>[1,3,4,2,5,7,6]
[3,5,2,4,7,1,6]=>[1,3,4,2,6,7,5]
[3,5,2,4,7,6,1]=>[7,1,3,2,4,6,5]
[3,5,2,6,1,4,7]=>[1,3,5,2,6,4,7]
[3,5,2,6,1,7,4]=>[7,1,3,2,5,4,6]
[3,5,2,6,4,1,7]=>[6,1,3,2,5,4,7]
[3,5,2,6,4,7,1]=>[5,1,3,2,4,7,6]
[3,5,2,6,7,1,4]=>[6,1,3,2,4,7,5]
[3,5,2,6,7,4,1]=>[4,1,2,7,3,6,5]
[3,5,2,7,1,4,6]=>[1,3,5,2,6,7,4]
[3,5,2,7,1,6,4]=>[7,1,3,2,5,6,4]
[3,5,2,7,4,1,6]=>[6,1,3,2,5,7,4]
[3,5,2,7,4,6,1]=>[5,1,2,7,3,6,4]
[3,5,2,7,6,1,4]=>[6,1,2,7,3,5,4]
[3,5,2,7,6,4,1]=>[2,7,1,6,3,5,4]
[3,5,4,1,2,6,7]=>[1,4,5,3,2,6,7]
[3,5,4,1,2,7,6]=>[7,1,4,3,2,5,6]
[3,5,4,1,6,2,7]=>[6,1,4,3,2,5,7]
[3,5,4,1,6,7,2]=>[5,1,3,2,7,4,6]
[3,5,4,1,7,2,6]=>[6,1,3,2,7,4,5]
[3,5,4,1,7,6,2]=>[3,1,2,7,6,4,5]
[3,5,4,2,1,6,7]=>[5,1,4,3,2,6,7]
[3,5,4,2,1,7,6]=>[4,1,3,2,7,5,6]
[3,5,4,2,6,1,7]=>[4,1,3,2,6,5,7]
[3,5,4,2,6,7,1]=>[4,1,3,2,5,7,6]
[3,5,4,2,7,1,6]=>[4,1,3,2,6,7,5]
[3,5,4,2,7,6,1]=>[3,1,2,7,4,6,5]
[3,5,4,6,1,2,7]=>[5,1,3,2,6,4,7]
[3,5,4,6,1,7,2]=>[3,1,2,7,5,4,6]
[3,5,4,6,2,1,7]=>[3,1,2,6,5,4,7]
[3,5,4,6,2,7,1]=>[3,1,2,5,4,7,6]
[3,5,4,6,7,1,2]=>[3,1,2,6,4,7,5]
[3,5,4,6,7,2,1]=>[3,1,2,4,7,6,5]
[3,5,4,7,1,2,6]=>[5,1,3,2,6,7,4]
[3,5,4,7,1,6,2]=>[3,1,2,7,5,6,4]
[3,5,4,7,2,1,6]=>[3,1,2,6,5,7,4]
[3,5,4,7,2,6,1]=>[3,1,2,5,7,6,4]
[3,5,4,7,6,1,2]=>[3,1,2,6,7,5,4]
[3,5,4,7,6,2,1]=>[2,7,1,3,6,5,4]
[3,5,6,1,2,4,7]=>[1,4,5,2,6,3,7]
[3,5,6,1,2,7,4]=>[7,1,4,2,5,3,6]
[3,5,6,1,4,2,7]=>[6,1,4,2,5,3,7]
[3,5,6,1,4,7,2]=>[5,1,2,7,4,3,6]
[3,5,6,1,7,2,4]=>[6,1,2,7,4,3,5]
[3,5,6,1,7,4,2]=>[2,7,1,6,4,3,5]
[3,5,6,2,1,4,7]=>[5,1,4,2,6,3,7]
[3,5,6,2,1,7,4]=>[4,1,2,7,5,3,6]
[3,5,6,2,4,1,7]=>[4,1,2,6,5,3,7]
[3,5,6,2,4,7,1]=>[4,1,2,5,3,7,6]
[3,5,6,2,7,1,4]=>[4,1,2,6,3,7,5]
[3,5,6,2,7,4,1]=>[2,7,1,4,3,6,5]
[3,5,6,4,1,2,7]=>[5,1,2,6,4,3,7]
[3,5,6,4,1,7,2]=>[2,7,1,5,4,3,6]
[3,5,6,4,2,1,7]=>[2,6,1,5,4,3,7]
[3,5,6,4,2,7,1]=>[2,5,1,4,3,7,6]
[3,5,6,4,7,1,2]=>[2,6,1,4,3,7,5]
[3,5,6,4,7,2,1]=>[2,4,1,3,7,6,5]
[3,5,6,7,1,2,4]=>[5,1,2,6,3,7,4]
[3,5,6,7,1,4,2]=>[2,7,1,5,3,6,4]
[3,5,6,7,2,1,4]=>[2,6,1,5,3,7,4]
[3,5,6,7,2,4,1]=>[2,5,1,3,7,6,4]
[3,5,6,7,4,1,2]=>[2,6,1,3,7,5,4]
[3,5,6,7,4,2,1]=>[2,3,7,1,6,5,4]
[3,5,7,1,2,4,6]=>[1,4,5,2,6,7,3]
[3,5,7,1,2,6,4]=>[7,1,4,2,5,6,3]
[3,5,7,1,4,2,6]=>[6,1,4,2,5,7,3]
[3,5,7,1,4,6,2]=>[5,1,2,7,4,6,3]
[3,5,7,1,6,2,4]=>[6,1,2,7,4,5,3]
[3,5,7,1,6,4,2]=>[2,7,1,6,4,5,3]
[3,5,7,2,1,4,6]=>[5,1,4,2,6,7,3]
[3,5,7,2,1,6,4]=>[4,1,2,7,5,6,3]
[3,5,7,2,4,1,6]=>[4,1,2,6,5,7,3]
[3,5,7,2,4,6,1]=>[4,1,2,5,7,6,3]
[3,5,7,2,6,1,4]=>[4,1,2,6,7,5,3]
[3,5,7,2,6,4,1]=>[2,7,1,4,6,5,3]
[3,5,7,4,1,2,6]=>[5,1,2,6,4,7,3]
[3,5,7,4,1,6,2]=>[2,7,1,5,4,6,3]
[3,5,7,4,2,1,6]=>[2,6,1,5,4,7,3]
[3,5,7,4,2,6,1]=>[2,5,1,4,7,6,3]
[3,5,7,4,6,1,2]=>[2,6,1,4,7,5,3]
[3,5,7,4,6,2,1]=>[2,4,7,1,6,5,3]
[3,5,7,6,1,2,4]=>[5,1,2,6,7,4,3]
[3,5,7,6,1,4,2]=>[2,7,1,5,6,4,3]
[3,5,7,6,2,1,4]=>[2,6,1,5,7,4,3]
[3,5,7,6,2,4,1]=>[2,5,7,1,6,4,3]
[3,5,7,6,4,1,2]=>[2,6,7,1,5,4,3]
[3,5,7,6,4,2,1]=>[7,2,6,1,5,4,3]
[3,6,1,2,4,5,7]=>[3,1,4,5,6,2,7]
[3,6,1,2,4,7,5]=>[1,7,3,4,5,2,6]
[3,6,1,2,5,4,7]=>[1,6,3,4,5,2,7]
[3,6,1,2,5,7,4]=>[1,5,7,3,4,2,6]
[3,6,1,2,7,4,5]=>[1,6,7,3,4,2,5]
[3,6,1,2,7,5,4]=>[7,1,6,3,4,2,5]
[3,6,1,4,2,5,7]=>[1,5,3,4,6,2,7]
[3,6,1,4,2,7,5]=>[1,4,7,3,5,2,6]
[3,6,1,4,5,2,7]=>[1,4,6,3,5,2,7]
[3,6,1,4,5,7,2]=>[1,4,5,7,3,2,6]
[3,6,1,4,7,2,5]=>[1,4,6,7,3,2,5]
[3,6,1,4,7,5,2]=>[7,1,4,6,3,2,5]
[3,6,1,5,2,4,7]=>[1,5,6,3,4,2,7]
[3,6,1,5,2,7,4]=>[7,1,5,3,4,2,6]
[3,6,1,5,4,2,7]=>[6,1,5,3,4,2,7]
[3,6,1,5,4,7,2]=>[5,1,4,7,3,2,6]
[3,6,1,5,7,2,4]=>[6,1,4,7,3,2,5]
[3,6,1,5,7,4,2]=>[4,7,1,6,3,2,5]
[3,6,1,7,2,4,5]=>[1,5,6,7,3,2,4]
[3,6,1,7,2,5,4]=>[7,1,5,6,3,2,4]
[3,6,1,7,4,2,5]=>[6,1,5,7,3,2,4]
[3,6,1,7,4,5,2]=>[5,7,1,6,3,2,4]
[3,6,1,7,5,2,4]=>[6,7,1,5,3,2,4]
[3,6,1,7,5,4,2]=>[7,6,1,5,3,2,4]
[3,6,2,1,4,5,7]=>[1,4,3,5,6,2,7]
[3,6,2,1,4,7,5]=>[1,3,7,4,5,2,6]
[3,6,2,1,5,4,7]=>[1,3,6,4,5,2,7]
[3,6,2,1,5,7,4]=>[1,3,5,7,4,2,6]
[3,6,2,1,7,4,5]=>[1,3,6,7,4,2,5]
[3,6,2,1,7,5,4]=>[7,1,3,6,4,2,5]
[3,6,2,4,1,5,7]=>[1,3,5,4,6,2,7]
[3,6,2,4,1,7,5]=>[1,3,4,7,5,2,6]
[3,6,2,4,5,1,7]=>[1,3,4,6,5,2,7]
[3,6,2,4,5,7,1]=>[1,3,4,5,2,7,6]
[3,6,2,4,7,1,5]=>[1,3,4,6,2,7,5]
[3,6,2,4,7,5,1]=>[7,1,3,4,2,6,5]
[3,6,2,5,1,4,7]=>[1,3,5,6,4,2,7]
[3,6,2,5,1,7,4]=>[7,1,3,5,4,2,6]
[3,6,2,5,4,1,7]=>[6,1,3,5,4,2,7]
[3,6,2,5,4,7,1]=>[5,1,3,4,2,7,6]
[3,6,2,5,7,1,4]=>[6,1,3,4,2,7,5]
[3,6,2,5,7,4,1]=>[4,7,1,3,2,6,5]
[3,6,2,7,1,4,5]=>[1,3,5,6,2,7,4]
[3,6,2,7,1,5,4]=>[7,1,3,5,2,6,4]
[3,6,2,7,4,1,5]=>[6,1,3,5,2,7,4]
[3,6,2,7,4,5,1]=>[5,7,1,3,2,6,4]
[3,6,2,7,5,1,4]=>[6,7,1,3,2,5,4]
[3,6,2,7,5,4,1]=>[7,6,1,3,2,5,4]
[3,6,4,1,2,5,7]=>[1,4,5,3,6,2,7]
[3,6,4,1,2,7,5]=>[7,1,4,3,5,2,6]
[3,6,4,1,5,2,7]=>[6,1,4,3,5,2,7]
[3,6,4,1,5,7,2]=>[5,1,3,7,4,2,6]
[3,6,4,1,7,2,5]=>[6,1,3,7,4,2,5]
[3,6,4,1,7,5,2]=>[3,7,1,6,4,2,5]
[3,6,4,2,1,5,7]=>[5,1,4,3,6,2,7]
[3,6,4,2,1,7,5]=>[4,1,3,7,5,2,6]
[3,6,4,2,5,1,7]=>[4,1,3,6,5,2,7]
[3,6,4,2,5,7,1]=>[4,1,3,5,2,7,6]
[3,6,4,2,7,1,5]=>[4,1,3,6,2,7,5]
[3,6,4,2,7,5,1]=>[3,7,1,4,2,6,5]
[3,6,4,5,1,2,7]=>[5,1,3,6,4,2,7]
[3,6,4,5,1,7,2]=>[3,7,1,5,4,2,6]
[3,6,4,5,2,1,7]=>[3,6,1,5,4,2,7]
[3,6,4,5,2,7,1]=>[3,5,1,4,2,7,6]
[3,6,4,5,7,1,2]=>[3,6,1,4,2,7,5]
[3,6,4,5,7,2,1]=>[3,4,1,2,7,6,5]
[3,6,4,7,1,2,5]=>[5,1,3,6,2,7,4]
[3,6,4,7,1,5,2]=>[3,7,1,5,2,6,4]
[3,6,4,7,2,1,5]=>[3,6,1,5,2,7,4]
[3,6,4,7,2,5,1]=>[3,5,1,2,7,6,4]
[3,6,4,7,5,1,2]=>[3,6,1,2,7,5,4]
[3,6,4,7,5,2,1]=>[7,3,1,2,6,5,4]
[3,6,5,1,2,4,7]=>[1,4,5,6,3,2,7]
[3,6,5,1,2,7,4]=>[7,1,4,5,3,2,6]
[3,6,5,1,4,2,7]=>[6,1,4,5,3,2,7]
[3,6,5,1,4,7,2]=>[5,7,1,4,3,2,6]
[3,6,5,1,7,2,4]=>[6,7,1,4,3,2,5]
[3,6,5,1,7,4,2]=>[7,6,1,4,3,2,5]
[3,6,5,2,1,4,7]=>[5,1,4,6,3,2,7]
[3,6,5,2,1,7,4]=>[4,7,1,5,3,2,6]
[3,6,5,2,4,1,7]=>[4,6,1,5,3,2,7]
[3,6,5,2,4,7,1]=>[4,5,1,3,2,7,6]
[3,6,5,2,7,1,4]=>[4,6,1,3,2,7,5]
[3,6,5,2,7,4,1]=>[7,4,1,3,2,6,5]
[3,6,5,4,1,2,7]=>[5,6,1,4,3,2,7]
[3,6,5,4,1,7,2]=>[7,5,1,4,3,2,6]
[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]
[3,6,5,4,2,7,1]=>[5,4,1,3,2,7,6]
[3,6,5,4,7,1,2]=>[6,4,1,3,2,7,5]
[3,6,5,4,7,2,1]=>[4,3,1,2,7,6,5]
[3,6,5,7,1,2,4]=>[5,6,1,3,2,7,4]
[3,6,5,7,1,4,2]=>[7,5,1,3,2,6,4]
[3,6,5,7,2,1,4]=>[6,5,1,3,2,7,4]
[3,6,5,7,2,4,1]=>[5,3,1,2,7,6,4]
[3,6,5,7,4,1,2]=>[6,3,1,2,7,5,4]
[3,6,5,7,4,2,1]=>[3,2,7,1,6,5,4]
[3,6,7,1,2,4,5]=>[1,4,5,6,2,7,3]
[3,6,7,1,2,5,4]=>[7,1,4,5,2,6,3]
[3,6,7,1,4,2,5]=>[6,1,4,5,2,7,3]
[3,6,7,1,4,5,2]=>[5,7,1,4,2,6,3]
[3,6,7,1,5,2,4]=>[6,7,1,4,2,5,3]
[3,6,7,1,5,4,2]=>[7,6,1,4,2,5,3]
[3,6,7,2,1,4,5]=>[5,1,4,6,2,7,3]
[3,6,7,2,1,5,4]=>[4,7,1,5,2,6,3]
[3,6,7,2,4,1,5]=>[4,6,1,5,2,7,3]
[3,6,7,2,4,5,1]=>[4,5,1,2,7,6,3]
[3,6,7,2,5,1,4]=>[4,6,1,2,7,5,3]
[3,6,7,2,5,4,1]=>[7,4,1,2,6,5,3]
[3,6,7,4,1,2,5]=>[5,6,1,4,2,7,3]
[3,6,7,4,1,5,2]=>[7,5,1,4,2,6,3]
[3,6,7,4,2,1,5]=>[6,5,1,4,2,7,3]
[3,6,7,4,2,5,1]=>[5,4,1,2,7,6,3]
[3,6,7,4,5,1,2]=>[6,4,1,2,7,5,3]
[3,6,7,4,5,2,1]=>[4,2,7,1,6,5,3]
[3,6,7,5,1,2,4]=>[5,6,1,2,7,4,3]
[3,6,7,5,1,4,2]=>[7,5,1,2,6,4,3]
[3,6,7,5,2,1,4]=>[6,5,1,2,7,4,3]
[3,6,7,5,2,4,1]=>[5,2,7,1,6,4,3]
[3,6,7,5,4,1,2]=>[6,2,7,1,5,4,3]
[3,6,7,5,4,2,1]=>[2,7,6,1,5,4,3]
[3,7,1,2,4,5,6]=>[3,1,4,5,6,7,2]
[3,7,1,2,4,6,5]=>[1,7,3,4,5,6,2]
[3,7,1,2,5,4,6]=>[1,6,3,4,5,7,2]
[3,7,1,2,5,6,4]=>[1,5,7,3,4,6,2]
[3,7,1,2,6,4,5]=>[1,6,7,3,4,5,2]
[3,7,1,2,6,5,4]=>[7,1,6,3,4,5,2]
[3,7,1,4,2,5,6]=>[1,5,3,4,6,7,2]
[3,7,1,4,2,6,5]=>[1,4,7,3,5,6,2]
[3,7,1,4,5,2,6]=>[1,4,6,3,5,7,2]
[3,7,1,4,5,6,2]=>[1,4,5,7,3,6,2]
[3,7,1,4,6,2,5]=>[1,4,6,7,3,5,2]
[3,7,1,4,6,5,2]=>[7,1,4,6,3,5,2]
[3,7,1,5,2,4,6]=>[1,5,6,3,4,7,2]
[3,7,1,5,2,6,4]=>[7,1,5,3,4,6,2]
[3,7,1,5,4,2,6]=>[6,1,5,3,4,7,2]
[3,7,1,5,4,6,2]=>[5,1,4,7,3,6,2]
[3,7,1,5,6,2,4]=>[6,1,4,7,3,5,2]
[3,7,1,5,6,4,2]=>[4,7,1,6,3,5,2]
[3,7,1,6,2,4,5]=>[1,5,6,7,3,4,2]
[3,7,1,6,2,5,4]=>[7,1,5,6,3,4,2]
[3,7,1,6,4,2,5]=>[6,1,5,7,3,4,2]
[3,7,1,6,4,5,2]=>[5,7,1,6,3,4,2]
[3,7,1,6,5,2,4]=>[6,7,1,5,3,4,2]
[3,7,1,6,5,4,2]=>[7,6,1,5,3,4,2]
[3,7,2,1,4,5,6]=>[1,4,3,5,6,7,2]
[3,7,2,1,4,6,5]=>[1,3,7,4,5,6,2]
[3,7,2,1,5,4,6]=>[1,3,6,4,5,7,2]
[3,7,2,1,5,6,4]=>[1,3,5,7,4,6,2]
[3,7,2,1,6,4,5]=>[1,3,6,7,4,5,2]
[3,7,2,1,6,5,4]=>[7,1,3,6,4,5,2]
[3,7,2,4,1,5,6]=>[1,3,5,4,6,7,2]
[3,7,2,4,1,6,5]=>[1,3,4,7,5,6,2]
[3,7,2,4,5,1,6]=>[1,3,4,6,5,7,2]
[3,7,2,4,5,6,1]=>[1,3,4,5,7,6,2]
[3,7,2,4,6,1,5]=>[1,3,4,6,7,5,2]
[3,7,2,4,6,5,1]=>[7,1,3,4,6,5,2]
[3,7,2,5,1,4,6]=>[1,3,5,6,4,7,2]
[3,7,2,5,1,6,4]=>[7,1,3,5,4,6,2]
[3,7,2,5,4,1,6]=>[6,1,3,5,4,7,2]
[3,7,2,5,4,6,1]=>[5,1,3,4,7,6,2]
[3,7,2,5,6,1,4]=>[6,1,3,4,7,5,2]
[3,7,2,5,6,4,1]=>[4,7,1,3,6,5,2]
[3,7,2,6,1,4,5]=>[1,3,5,6,7,4,2]
[3,7,2,6,1,5,4]=>[7,1,3,5,6,4,2]
[3,7,2,6,4,1,5]=>[6,1,3,5,7,4,2]
[3,7,2,6,4,5,1]=>[5,7,1,3,6,4,2]
[3,7,2,6,5,1,4]=>[6,7,1,3,5,4,2]
[3,7,2,6,5,4,1]=>[7,6,1,3,5,4,2]
[3,7,4,1,2,5,6]=>[1,4,5,3,6,7,2]
[3,7,4,1,2,6,5]=>[7,1,4,3,5,6,2]
[3,7,4,1,5,2,6]=>[6,1,4,3,5,7,2]
[3,7,4,1,5,6,2]=>[5,1,3,7,4,6,2]
[3,7,4,1,6,2,5]=>[6,1,3,7,4,5,2]
[3,7,4,1,6,5,2]=>[3,7,1,6,4,5,2]
[3,7,4,2,1,5,6]=>[5,1,4,3,6,7,2]
[3,7,4,2,1,6,5]=>[4,1,3,7,5,6,2]
[3,7,4,2,5,1,6]=>[4,1,3,6,5,7,2]
[3,7,4,2,5,6,1]=>[4,1,3,5,7,6,2]
[3,7,4,2,6,1,5]=>[4,1,3,6,7,5,2]
[3,7,4,2,6,5,1]=>[3,7,1,4,6,5,2]
[3,7,4,5,1,2,6]=>[5,1,3,6,4,7,2]
[3,7,4,5,1,6,2]=>[3,7,1,5,4,6,2]
[3,7,4,5,2,1,6]=>[3,6,1,5,4,7,2]
[3,7,4,5,2,6,1]=>[3,5,1,4,7,6,2]
[3,7,4,5,6,1,2]=>[3,6,1,4,7,5,2]
[3,7,4,5,6,2,1]=>[3,4,7,1,6,5,2]
[3,7,4,6,1,2,5]=>[5,1,3,6,7,4,2]
[3,7,4,6,1,5,2]=>[3,7,1,5,6,4,2]
[3,7,4,6,2,1,5]=>[3,6,1,5,7,4,2]
[3,7,4,6,2,5,1]=>[3,5,7,1,6,4,2]
[3,7,4,6,5,1,2]=>[3,6,7,1,5,4,2]
[3,7,4,6,5,2,1]=>[7,3,6,1,5,4,2]
[3,7,5,1,2,4,6]=>[1,4,5,6,3,7,2]
[3,7,5,1,2,6,4]=>[7,1,4,5,3,6,2]
[3,7,5,1,4,2,6]=>[6,1,4,5,3,7,2]
[3,7,5,1,4,6,2]=>[5,7,1,4,3,6,2]
[3,7,5,1,6,2,4]=>[6,7,1,4,3,5,2]
[3,7,5,1,6,4,2]=>[7,6,1,4,3,5,2]
[3,7,5,2,1,4,6]=>[5,1,4,6,3,7,2]
[3,7,5,2,1,6,4]=>[4,7,1,5,3,6,2]
[3,7,5,2,4,1,6]=>[4,6,1,5,3,7,2]
[3,7,5,2,4,6,1]=>[4,5,1,3,7,6,2]
[3,7,5,2,6,1,4]=>[4,6,1,3,7,5,2]
[3,7,5,2,6,4,1]=>[7,4,1,3,6,5,2]
[3,7,5,4,1,2,6]=>[5,6,1,4,3,7,2]
[3,7,5,4,1,6,2]=>[7,5,1,4,3,6,2]
[3,7,5,4,2,1,6]=>[6,5,1,4,3,7,2]
[3,7,5,4,2,6,1]=>[5,4,1,3,7,6,2]
[3,7,5,4,6,1,2]=>[6,4,1,3,7,5,2]
[3,7,5,4,6,2,1]=>[4,3,7,1,6,5,2]
[3,7,5,6,1,2,4]=>[5,6,1,3,7,4,2]
[3,7,5,6,1,4,2]=>[7,5,1,3,6,4,2]
[3,7,5,6,2,1,4]=>[6,5,1,3,7,4,2]
[3,7,5,6,2,4,1]=>[5,3,7,1,6,4,2]
[3,7,5,6,4,1,2]=>[6,3,7,1,5,4,2]
[3,7,5,6,4,2,1]=>[3,7,6,1,5,4,2]
[3,7,6,1,2,4,5]=>[1,4,5,6,7,3,2]
[3,7,6,1,2,5,4]=>[7,1,4,5,6,3,2]
[3,7,6,1,4,2,5]=>[6,1,4,5,7,3,2]
[3,7,6,1,4,5,2]=>[5,7,1,4,6,3,2]
[3,7,6,1,5,2,4]=>[6,7,1,4,5,3,2]
[3,7,6,1,5,4,2]=>[7,6,1,4,5,3,2]
[3,7,6,2,1,4,5]=>[5,1,4,6,7,3,2]
[3,7,6,2,1,5,4]=>[4,7,1,5,6,3,2]
[3,7,6,2,4,1,5]=>[4,6,1,5,7,3,2]
[3,7,6,2,4,5,1]=>[4,5,7,1,6,3,2]
[3,7,6,2,5,1,4]=>[4,6,7,1,5,3,2]
[3,7,6,2,5,4,1]=>[7,4,6,1,5,3,2]
[3,7,6,4,1,2,5]=>[5,6,1,4,7,3,2]
[3,7,6,4,1,5,2]=>[7,5,1,4,6,3,2]
[3,7,6,4,2,1,5]=>[6,5,1,4,7,3,2]
[3,7,6,4,2,5,1]=>[5,4,7,1,6,3,2]
[3,7,6,4,5,1,2]=>[6,4,7,1,5,3,2]
[3,7,6,4,5,2,1]=>[4,7,6,1,5,3,2]
[3,7,6,5,1,2,4]=>[5,6,7,1,4,3,2]
[3,7,6,5,1,4,2]=>[7,5,6,1,4,3,2]
[3,7,6,5,2,1,4]=>[6,5,7,1,4,3,2]
[3,7,6,5,2,4,1]=>[5,7,6,1,4,3,2]
[3,7,6,5,4,1,2]=>[6,7,5,1,4,3,2]
[3,7,6,5,4,2,1]=>[7,6,5,1,4,3,2]
[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[4,1,2,3,5,7,6]=>[7,2,3,1,4,5,6]
[4,1,2,3,6,5,7]=>[6,2,3,1,4,5,7]
[4,1,2,3,6,7,5]=>[5,7,2,1,3,4,6]
[4,1,2,3,7,5,6]=>[6,7,2,1,3,4,5]
[4,1,2,3,7,6,5]=>[7,6,2,1,3,4,5]
[4,1,2,5,3,6,7]=>[5,2,3,1,4,6,7]
[4,1,2,5,3,7,6]=>[4,7,2,1,3,5,6]
[4,1,2,5,6,3,7]=>[4,6,2,1,3,5,7]
[4,1,2,5,6,7,3]=>[4,5,1,7,2,3,6]
[4,1,2,5,7,3,6]=>[4,6,1,7,2,3,5]
[4,1,2,5,7,6,3]=>[7,4,1,6,2,3,5]
[4,1,2,6,3,5,7]=>[5,6,2,1,3,4,7]
[4,1,2,6,3,7,5]=>[7,5,2,1,3,4,6]
[4,1,2,6,5,3,7]=>[6,5,2,1,3,4,7]
[4,1,2,6,5,7,3]=>[5,4,1,7,2,3,6]
[4,1,2,6,7,3,5]=>[6,4,1,7,2,3,5]
[4,1,2,6,7,5,3]=>[4,1,7,6,2,3,5]
[4,1,2,7,3,5,6]=>[5,6,1,7,2,3,4]
[4,1,2,7,3,6,5]=>[7,5,1,6,2,3,4]
[4,1,2,7,5,3,6]=>[6,5,1,7,2,3,4]
[4,1,2,7,5,6,3]=>[5,1,7,6,2,3,4]
[4,1,2,7,6,3,5]=>[6,1,7,5,2,3,4]
[4,1,2,7,6,5,3]=>[1,7,6,5,2,3,4]
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]
[4,1,3,2,5,7,6]=>[3,7,2,1,4,5,6]
[4,1,3,2,6,5,7]=>[3,6,2,1,4,5,7]
[4,1,3,2,6,7,5]=>[3,5,1,7,2,4,6]
[4,1,3,2,7,5,6]=>[3,6,1,7,2,4,5]
[4,1,3,2,7,6,5]=>[7,3,1,6,2,4,5]
[4,1,3,5,2,6,7]=>[3,5,2,1,4,6,7]
[4,1,3,5,2,7,6]=>[3,4,1,7,2,5,6]
[4,1,3,5,6,2,7]=>[3,4,1,6,2,5,7]
[4,1,3,5,6,7,2]=>[3,4,1,5,7,2,6]
[4,1,3,5,7,2,6]=>[3,4,1,6,7,2,5]
[4,1,3,5,7,6,2]=>[7,3,1,4,6,2,5]
[4,1,3,6,2,5,7]=>[3,5,1,6,2,4,7]
[4,1,3,6,2,7,5]=>[7,3,1,5,2,4,6]
[4,1,3,6,5,2,7]=>[6,3,1,5,2,4,7]
[4,1,3,6,5,7,2]=>[5,3,1,4,7,2,6]
[4,1,3,6,7,2,5]=>[6,3,1,4,7,2,5]
[4,1,3,6,7,5,2]=>[4,1,7,3,6,2,5]
[4,1,3,7,2,5,6]=>[3,5,1,6,7,2,4]
[4,1,3,7,2,6,5]=>[7,3,1,5,6,2,4]
[4,1,3,7,5,2,6]=>[6,3,1,5,7,2,4]
[4,1,3,7,5,6,2]=>[5,1,7,3,6,2,4]
[4,1,3,7,6,2,5]=>[6,1,7,3,5,2,4]
[4,1,3,7,6,5,2]=>[1,7,6,3,5,2,4]
[4,1,5,2,3,6,7]=>[4,5,2,1,3,6,7]
[4,1,5,2,3,7,6]=>[7,4,2,1,3,5,6]
[4,1,5,2,6,3,7]=>[6,4,2,1,3,5,7]
[4,1,5,2,6,7,3]=>[5,3,1,7,2,4,6]
[4,1,5,2,7,3,6]=>[6,3,1,7,2,4,5]
[4,1,5,2,7,6,3]=>[3,1,7,6,2,4,5]
[4,1,5,3,2,6,7]=>[5,4,2,1,3,6,7]
[4,1,5,3,2,7,6]=>[4,3,1,7,2,5,6]
[4,1,5,3,6,2,7]=>[4,3,1,6,2,5,7]
[4,1,5,3,6,7,2]=>[4,3,1,5,7,2,6]
[4,1,5,3,7,2,6]=>[4,3,1,6,7,2,5]
[4,1,5,3,7,6,2]=>[3,1,7,4,6,2,5]
[4,1,5,6,2,3,7]=>[5,3,1,6,2,4,7]
[4,1,5,6,2,7,3]=>[3,1,7,5,2,4,6]
[4,1,5,6,3,2,7]=>[3,1,6,5,2,4,7]
[4,1,5,6,3,7,2]=>[3,1,5,4,7,2,6]
[4,1,5,6,7,2,3]=>[3,1,6,4,7,2,5]
[4,1,5,6,7,3,2]=>[3,1,4,7,6,2,5]
[4,1,5,7,2,3,6]=>[5,3,1,6,7,2,4]
[4,1,5,7,2,6,3]=>[3,1,7,5,6,2,4]
[4,1,5,7,3,2,6]=>[3,1,6,5,7,2,4]
[4,1,5,7,3,6,2]=>[3,1,5,7,6,2,4]
[4,1,5,7,6,2,3]=>[3,1,6,7,5,2,4]
[4,1,5,7,6,3,2]=>[1,7,3,6,5,2,4]
[4,1,6,2,3,5,7]=>[4,5,1,6,2,3,7]
[4,1,6,2,3,7,5]=>[7,4,1,5,2,3,6]
[4,1,6,2,5,3,7]=>[6,4,1,5,2,3,7]
[4,1,6,2,5,7,3]=>[5,1,7,4,2,3,6]
[4,1,6,2,7,3,5]=>[6,1,7,4,2,3,5]
[4,1,6,2,7,5,3]=>[1,7,6,4,2,3,5]
[4,1,6,3,2,5,7]=>[5,4,1,6,2,3,7]
[4,1,6,3,2,7,5]=>[4,1,7,5,2,3,6]
[4,1,6,3,5,2,7]=>[4,1,6,5,2,3,7]
[4,1,6,3,5,7,2]=>[4,1,5,3,7,2,6]
[4,1,6,3,7,2,5]=>[4,1,6,3,7,2,5]
[4,1,6,3,7,5,2]=>[1,7,4,3,6,2,5]
[4,1,6,5,2,3,7]=>[5,1,6,4,2,3,7]
[4,1,6,5,2,7,3]=>[1,7,5,4,2,3,6]
[4,1,6,5,3,2,7]=>[1,6,5,4,2,3,7]
[4,1,6,5,3,7,2]=>[1,5,4,3,7,2,6]
[4,1,6,5,7,2,3]=>[1,6,4,3,7,2,5]
[4,1,6,5,7,3,2]=>[1,4,3,7,6,2,5]
[4,1,6,7,2,3,5]=>[5,1,6,3,7,2,4]
[4,1,6,7,2,5,3]=>[1,7,5,3,6,2,4]
[4,1,6,7,3,2,5]=>[1,6,5,3,7,2,4]
[4,1,6,7,3,5,2]=>[1,5,3,7,6,2,4]
[4,1,6,7,5,2,3]=>[1,6,3,7,5,2,4]
[4,1,6,7,5,3,2]=>[1,3,7,6,5,2,4]
[4,1,7,2,3,5,6]=>[4,5,1,6,7,2,3]
[4,1,7,2,3,6,5]=>[7,4,1,5,6,2,3]
[4,1,7,2,5,3,6]=>[6,4,1,5,7,2,3]
[4,1,7,2,5,6,3]=>[5,1,7,4,6,2,3]
[4,1,7,2,6,3,5]=>[6,1,7,4,5,2,3]
[4,1,7,2,6,5,3]=>[1,7,6,4,5,2,3]
[4,1,7,3,2,5,6]=>[5,4,1,6,7,2,3]
[4,1,7,3,2,6,5]=>[4,1,7,5,6,2,3]
[4,1,7,3,5,2,6]=>[4,1,6,5,7,2,3]
[4,1,7,3,5,6,2]=>[4,1,5,7,6,2,3]
[4,1,7,3,6,2,5]=>[4,1,6,7,5,2,3]
[4,1,7,3,6,5,2]=>[1,7,4,6,5,2,3]
[4,1,7,5,2,3,6]=>[5,1,6,4,7,2,3]
[4,1,7,5,2,6,3]=>[1,7,5,4,6,2,3]
[4,1,7,5,3,2,6]=>[1,6,5,4,7,2,3]
[4,1,7,5,3,6,2]=>[1,5,4,7,6,2,3]
[4,1,7,5,6,2,3]=>[1,6,4,7,5,2,3]
[4,1,7,5,6,3,2]=>[1,4,7,6,5,2,3]
[4,1,7,6,2,3,5]=>[5,1,6,7,4,2,3]
[4,1,7,6,2,5,3]=>[1,7,5,6,4,2,3]
[4,1,7,6,3,2,5]=>[1,6,5,7,4,2,3]
[4,1,7,6,3,5,2]=>[1,5,7,6,4,2,3]
[4,1,7,6,5,2,3]=>[1,6,7,5,4,2,3]
[4,1,7,6,5,3,2]=>[7,1,6,5,4,2,3]
[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]
[4,2,1,3,5,7,6]=>[2,7,3,1,4,5,6]
[4,2,1,3,6,5,7]=>[2,6,3,1,4,5,7]
[4,2,1,3,6,7,5]=>[2,5,1,7,3,4,6]
[4,2,1,3,7,5,6]=>[2,6,1,7,3,4,5]
[4,2,1,3,7,6,5]=>[7,2,1,6,3,4,5]
[4,2,1,5,3,6,7]=>[2,5,3,1,4,6,7]
[4,2,1,5,3,7,6]=>[2,4,1,7,3,5,6]
[4,2,1,5,6,3,7]=>[2,4,1,6,3,5,7]
[4,2,1,5,6,7,3]=>[2,4,1,5,7,3,6]
[4,2,1,5,7,3,6]=>[2,4,1,6,7,3,5]
[4,2,1,5,7,6,3]=>[7,2,1,4,6,3,5]
[4,2,1,6,3,5,7]=>[2,5,1,6,3,4,7]
[4,2,1,6,3,7,5]=>[7,2,1,5,3,4,6]
[4,2,1,6,5,3,7]=>[6,2,1,5,3,4,7]
[4,2,1,6,5,7,3]=>[5,2,1,4,7,3,6]
[4,2,1,6,7,3,5]=>[6,2,1,4,7,3,5]
[4,2,1,6,7,5,3]=>[4,1,7,2,6,3,5]
[4,2,1,7,3,5,6]=>[2,5,1,6,7,3,4]
[4,2,1,7,3,6,5]=>[7,2,1,5,6,3,4]
[4,2,1,7,5,3,6]=>[6,2,1,5,7,3,4]
[4,2,1,7,5,6,3]=>[5,1,7,2,6,3,4]
[4,2,1,7,6,3,5]=>[6,1,7,2,5,3,4]
[4,2,1,7,6,5,3]=>[1,7,6,2,5,3,4]
[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]
[4,2,3,1,5,7,6]=>[2,3,1,7,4,5,6]
[4,2,3,1,6,5,7]=>[2,3,1,6,4,5,7]
[4,2,3,1,6,7,5]=>[2,3,1,5,7,4,6]
[4,2,3,1,7,5,6]=>[2,3,1,6,7,4,5]
[4,2,3,1,7,6,5]=>[7,2,1,3,6,4,5]
[4,2,3,5,1,6,7]=>[2,3,1,5,4,6,7]
[4,2,3,5,1,7,6]=>[2,3,1,4,7,5,6]
[4,2,3,5,6,1,7]=>[2,3,1,4,6,5,7]
[4,2,3,5,6,7,1]=>[2,3,1,4,5,7,6]
[4,2,3,5,7,1,6]=>[2,3,1,4,6,7,5]
[4,2,3,5,7,6,1]=>[7,2,1,3,4,6,5]
[4,2,3,6,1,5,7]=>[2,3,1,5,6,4,7]
[4,2,3,6,1,7,5]=>[7,2,1,3,5,4,6]
[4,2,3,6,5,1,7]=>[6,2,1,3,5,4,7]
[4,2,3,6,5,7,1]=>[5,2,1,3,4,7,6]
[4,2,3,6,7,1,5]=>[6,2,1,3,4,7,5]
[4,2,3,6,7,5,1]=>[4,1,7,2,3,6,5]
[4,2,3,7,1,5,6]=>[2,3,1,5,6,7,4]
[4,2,3,7,1,6,5]=>[7,2,1,3,5,6,4]
[4,2,3,7,5,1,6]=>[6,2,1,3,5,7,4]
[4,2,3,7,5,6,1]=>[5,1,7,2,3,6,4]
[4,2,3,7,6,1,5]=>[6,1,7,2,3,5,4]
[4,2,3,7,6,5,1]=>[1,7,6,2,3,5,4]
[4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]
[4,2,5,1,3,7,6]=>[7,2,1,4,3,5,6]
[4,2,5,1,6,3,7]=>[6,2,1,4,3,5,7]
[4,2,5,1,6,7,3]=>[5,2,1,3,7,4,6]
[4,2,5,1,7,3,6]=>[6,2,1,3,7,4,5]
[4,2,5,1,7,6,3]=>[3,1,7,2,6,4,5]
[4,2,5,3,1,6,7]=>[5,2,1,4,3,6,7]
[4,2,5,3,1,7,6]=>[4,2,1,3,7,5,6]
[4,2,5,3,6,1,7]=>[4,2,1,3,6,5,7]
[4,2,5,3,6,7,1]=>[4,2,1,3,5,7,6]
[4,2,5,3,7,1,6]=>[4,2,1,3,6,7,5]
[4,2,5,3,7,6,1]=>[3,1,7,2,4,6,5]
[4,2,5,6,1,3,7]=>[5,2,1,3,6,4,7]
[4,2,5,6,1,7,3]=>[3,1,7,2,5,4,6]
[4,2,5,6,3,1,7]=>[3,1,6,2,5,4,7]
[4,2,5,6,3,7,1]=>[3,1,5,2,4,7,6]
[4,2,5,6,7,1,3]=>[3,1,6,2,4,7,5]
[4,2,5,6,7,3,1]=>[3,1,4,7,2,6,5]
[4,2,5,7,1,3,6]=>[5,2,1,3,6,7,4]
[4,2,5,7,1,6,3]=>[3,1,7,2,5,6,4]
[4,2,5,7,3,1,6]=>[3,1,6,2,5,7,4]
[4,2,5,7,3,6,1]=>[3,1,5,7,2,6,4]
[4,2,5,7,6,1,3]=>[3,1,6,7,2,5,4]
[4,2,5,7,6,3,1]=>[1,7,3,6,2,5,4]
[4,2,6,1,3,5,7]=>[2,4,1,5,6,3,7]
[4,2,6,1,3,7,5]=>[7,2,1,4,5,3,6]
[4,2,6,1,5,3,7]=>[6,2,1,4,5,3,7]
[4,2,6,1,5,7,3]=>[5,1,7,2,4,3,6]
[4,2,6,1,7,3,5]=>[6,1,7,2,4,3,5]
[4,2,6,1,7,5,3]=>[1,7,6,2,4,3,5]
[4,2,6,3,1,5,7]=>[5,2,1,4,6,3,7]
[4,2,6,3,1,7,5]=>[4,1,7,2,5,3,6]
[4,2,6,3,5,1,7]=>[4,1,6,2,5,3,7]
[4,2,6,3,5,7,1]=>[4,1,5,2,3,7,6]
[4,2,6,3,7,1,5]=>[4,1,6,2,3,7,5]
[4,2,6,3,7,5,1]=>[1,7,4,2,3,6,5]
[4,2,6,5,1,3,7]=>[5,1,6,2,4,3,7]
[4,2,6,5,1,7,3]=>[1,7,5,2,4,3,6]
[4,2,6,5,3,1,7]=>[1,6,5,2,4,3,7]
[4,2,6,5,3,7,1]=>[1,5,4,2,3,7,6]
[4,2,6,5,7,1,3]=>[1,6,4,2,3,7,5]
[4,2,6,5,7,3,1]=>[1,4,3,7,2,6,5]
[4,2,6,7,1,3,5]=>[5,1,6,2,3,7,4]
[4,2,6,7,1,5,3]=>[1,7,5,2,3,6,4]
[4,2,6,7,3,1,5]=>[1,6,5,2,3,7,4]
[4,2,6,7,3,5,1]=>[1,5,3,7,2,6,4]
[4,2,6,7,5,1,3]=>[1,6,3,7,2,5,4]
[4,2,6,7,5,3,1]=>[1,3,7,6,2,5,4]
[4,2,7,1,3,5,6]=>[2,4,1,5,6,7,3]
[4,2,7,1,3,6,5]=>[7,2,1,4,5,6,3]
[4,2,7,1,5,3,6]=>[6,2,1,4,5,7,3]
[4,2,7,1,5,6,3]=>[5,1,7,2,4,6,3]
[4,2,7,1,6,3,5]=>[6,1,7,2,4,5,3]
[4,2,7,1,6,5,3]=>[1,7,6,2,4,5,3]
[4,2,7,3,1,5,6]=>[5,2,1,4,6,7,3]
[4,2,7,3,1,6,5]=>[4,1,7,2,5,6,3]
[4,2,7,3,5,1,6]=>[4,1,6,2,5,7,3]
[4,2,7,3,5,6,1]=>[4,1,5,7,2,6,3]
[4,2,7,3,6,1,5]=>[4,1,6,7,2,5,3]
[4,2,7,3,6,5,1]=>[1,7,4,6,2,5,3]
[4,2,7,5,1,3,6]=>[5,1,6,2,4,7,3]
[4,2,7,5,1,6,3]=>[1,7,5,2,4,6,3]
[4,2,7,5,3,1,6]=>[1,6,5,2,4,7,3]
[4,2,7,5,3,6,1]=>[1,5,4,7,2,6,3]
[4,2,7,5,6,1,3]=>[1,6,4,7,2,5,3]
[4,2,7,5,6,3,1]=>[1,4,7,6,2,5,3]
[4,2,7,6,1,3,5]=>[5,1,6,7,2,4,3]
[4,2,7,6,1,5,3]=>[1,7,5,6,2,4,3]
[4,2,7,6,3,1,5]=>[1,6,5,7,2,4,3]
[4,2,7,6,3,5,1]=>[1,5,7,6,2,4,3]
[4,2,7,6,5,1,3]=>[1,6,7,5,2,4,3]
[4,2,7,6,5,3,1]=>[7,1,6,5,2,4,3]
[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]
[4,3,1,2,5,7,6]=>[7,3,2,1,4,5,6]
[4,3,1,2,6,5,7]=>[6,3,2,1,4,5,7]
[4,3,1,2,6,7,5]=>[5,2,1,7,3,4,6]
[4,3,1,2,7,5,6]=>[6,2,1,7,3,4,5]
[4,3,1,2,7,6,5]=>[2,1,7,6,3,4,5]
[4,3,1,5,2,6,7]=>[5,3,2,1,4,6,7]
[4,3,1,5,2,7,6]=>[4,2,1,7,3,5,6]
[4,3,1,5,6,2,7]=>[4,2,1,6,3,5,7]
[4,3,1,5,6,7,2]=>[4,2,1,5,7,3,6]
[4,3,1,5,7,2,6]=>[4,2,1,6,7,3,5]
[4,3,1,5,7,6,2]=>[2,1,7,4,6,3,5]
[4,3,1,6,2,5,7]=>[5,2,1,6,3,4,7]
[4,3,1,6,2,7,5]=>[2,1,7,5,3,4,6]
[4,3,1,6,5,2,7]=>[2,1,6,5,3,4,7]
[4,3,1,6,5,7,2]=>[2,1,5,4,7,3,6]
[4,3,1,6,7,2,5]=>[2,1,6,4,7,3,5]
[4,3,1,6,7,5,2]=>[2,1,4,7,6,3,5]
[4,3,1,7,2,5,6]=>[5,2,1,6,7,3,4]
[4,3,1,7,2,6,5]=>[2,1,7,5,6,3,4]
[4,3,1,7,5,2,6]=>[2,1,6,5,7,3,4]
[4,3,1,7,5,6,2]=>[2,1,5,7,6,3,4]
[4,3,1,7,6,2,5]=>[2,1,6,7,5,3,4]
[4,3,1,7,6,5,2]=>[1,7,2,6,5,3,4]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]
[4,3,2,1,5,7,6]=>[3,2,1,7,4,5,6]
[4,3,2,1,6,5,7]=>[3,2,1,6,4,5,7]
[4,3,2,1,6,7,5]=>[3,2,1,5,7,4,6]
[4,3,2,1,7,5,6]=>[3,2,1,6,7,4,5]
[4,3,2,1,7,6,5]=>[2,1,7,3,6,4,5]
[4,3,2,5,1,6,7]=>[3,2,1,5,4,6,7]
[4,3,2,5,1,7,6]=>[3,2,1,4,7,5,6]
[4,3,2,5,6,1,7]=>[3,2,1,4,6,5,7]
[4,3,2,5,6,7,1]=>[3,2,1,4,5,7,6]
[4,3,2,5,7,1,6]=>[3,2,1,4,6,7,5]
[4,3,2,5,7,6,1]=>[2,1,7,3,4,6,5]
[4,3,2,6,1,5,7]=>[3,2,1,5,6,4,7]
[4,3,2,6,1,7,5]=>[2,1,7,3,5,4,6]
[4,3,2,6,5,1,7]=>[2,1,6,3,5,4,7]
[4,3,2,6,5,7,1]=>[2,1,5,3,4,7,6]
[4,3,2,6,7,1,5]=>[2,1,6,3,4,7,5]
[4,3,2,6,7,5,1]=>[2,1,4,7,3,6,5]
[4,3,2,7,1,5,6]=>[3,2,1,5,6,7,4]
[4,3,2,7,1,6,5]=>[2,1,7,3,5,6,4]
[4,3,2,7,5,1,6]=>[2,1,6,3,5,7,4]
[4,3,2,7,5,6,1]=>[2,1,5,7,3,6,4]
[4,3,2,7,6,1,5]=>[2,1,6,7,3,5,4]
[4,3,2,7,6,5,1]=>[1,7,2,6,3,5,4]
[4,3,5,1,2,6,7]=>[4,2,1,5,3,6,7]
[4,3,5,1,2,7,6]=>[2,1,7,4,3,5,6]
[4,3,5,1,6,2,7]=>[2,1,6,4,3,5,7]
[4,3,5,1,6,7,2]=>[2,1,5,3,7,4,6]
[4,3,5,1,7,2,6]=>[2,1,6,3,7,4,5]
[4,3,5,1,7,6,2]=>[2,1,3,7,6,4,5]
[4,3,5,2,1,6,7]=>[2,1,5,4,3,6,7]
[4,3,5,2,1,7,6]=>[2,1,4,3,7,5,6]
[4,3,5,2,6,1,7]=>[2,1,4,3,6,5,7]
[4,3,5,2,6,7,1]=>[2,1,4,3,5,7,6]
[4,3,5,2,7,1,6]=>[2,1,4,3,6,7,5]
[4,3,5,2,7,6,1]=>[2,1,3,7,4,6,5]
[4,3,5,6,1,2,7]=>[2,1,5,3,6,4,7]
[4,3,5,6,1,7,2]=>[2,1,3,7,5,4,6]
[4,3,5,6,2,1,7]=>[2,1,3,6,5,4,7]
[4,3,5,6,2,7,1]=>[2,1,3,5,4,7,6]
[4,3,5,6,7,1,2]=>[2,1,3,6,4,7,5]
[4,3,5,6,7,2,1]=>[2,1,3,4,7,6,5]
[4,3,5,7,1,2,6]=>[2,1,5,3,6,7,4]
[4,3,5,7,1,6,2]=>[2,1,3,7,5,6,4]
[4,3,5,7,2,1,6]=>[2,1,3,6,5,7,4]
[4,3,5,7,2,6,1]=>[2,1,3,5,7,6,4]
[4,3,5,7,6,1,2]=>[2,1,3,6,7,5,4]
[4,3,5,7,6,2,1]=>[1,7,2,3,6,5,4]
[4,3,6,1,2,5,7]=>[4,2,1,5,6,3,7]
[4,3,6,1,2,7,5]=>[2,1,7,4,5,3,6]
[4,3,6,1,5,2,7]=>[2,1,6,4,5,3,7]
[4,3,6,1,5,7,2]=>[2,1,5,7,4,3,6]
[4,3,6,1,7,2,5]=>[2,1,6,7,4,3,5]
[4,3,6,1,7,5,2]=>[1,7,2,6,4,3,5]
[4,3,6,2,1,5,7]=>[2,1,5,4,6,3,7]
[4,3,6,2,1,7,5]=>[2,1,4,7,5,3,6]
[4,3,6,2,5,1,7]=>[2,1,4,6,5,3,7]
[4,3,6,2,5,7,1]=>[2,1,4,5,3,7,6]
[4,3,6,2,7,1,5]=>[2,1,4,6,3,7,5]
[4,3,6,2,7,5,1]=>[1,7,2,4,3,6,5]
[4,3,6,5,1,2,7]=>[2,1,5,6,4,3,7]
[4,3,6,5,1,7,2]=>[1,7,2,5,4,3,6]
[4,3,6,5,2,1,7]=>[1,6,2,5,4,3,7]
[4,3,6,5,2,7,1]=>[1,5,2,4,3,7,6]
[4,3,6,5,7,1,2]=>[1,6,2,4,3,7,5]
[4,3,6,5,7,2,1]=>[1,4,2,3,7,6,5]
[4,3,6,7,1,2,5]=>[2,1,5,6,3,7,4]
[4,3,6,7,1,5,2]=>[1,7,2,5,3,6,4]
[4,3,6,7,2,1,5]=>[1,6,2,5,3,7,4]
[4,3,6,7,2,5,1]=>[1,5,2,3,7,6,4]
[4,3,6,7,5,1,2]=>[1,6,2,3,7,5,4]
[4,3,6,7,5,2,1]=>[1,3,7,2,6,5,4]
[4,3,7,1,2,5,6]=>[4,2,1,5,6,7,3]
[4,3,7,1,2,6,5]=>[2,1,7,4,5,6,3]
[4,3,7,1,5,2,6]=>[2,1,6,4,5,7,3]
[4,3,7,1,5,6,2]=>[2,1,5,7,4,6,3]
[4,3,7,1,6,2,5]=>[2,1,6,7,4,5,3]
[4,3,7,1,6,5,2]=>[1,7,2,6,4,5,3]
[4,3,7,2,1,5,6]=>[2,1,5,4,6,7,3]
[4,3,7,2,1,6,5]=>[2,1,4,7,5,6,3]
[4,3,7,2,5,1,6]=>[2,1,4,6,5,7,3]
[4,3,7,2,5,6,1]=>[2,1,4,5,7,6,3]
[4,3,7,2,6,1,5]=>[2,1,4,6,7,5,3]
[4,3,7,2,6,5,1]=>[1,7,2,4,6,5,3]
[4,3,7,5,1,2,6]=>[2,1,5,6,4,7,3]
[4,3,7,5,1,6,2]=>[1,7,2,5,4,6,3]
[4,3,7,5,2,1,6]=>[1,6,2,5,4,7,3]
[4,3,7,5,2,6,1]=>[1,5,2,4,7,6,3]
[4,3,7,5,6,1,2]=>[1,6,2,4,7,5,3]
[4,3,7,5,6,2,1]=>[1,4,7,2,6,5,3]
[4,3,7,6,1,2,5]=>[2,1,5,6,7,4,3]
[4,3,7,6,1,5,2]=>[1,7,2,5,6,4,3]
[4,3,7,6,2,1,5]=>[1,6,2,5,7,4,3]
[4,3,7,6,2,5,1]=>[1,5,7,2,6,4,3]
[4,3,7,6,5,1,2]=>[1,6,7,2,5,4,3]
[4,3,7,6,5,2,1]=>[7,1,6,2,5,4,3]
[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]
[4,5,1,2,3,7,6]=>[7,3,1,4,2,5,6]
[4,5,1,2,6,3,7]=>[6,3,1,4,2,5,7]
[4,5,1,2,6,7,3]=>[5,1,7,3,2,4,6]
[4,5,1,2,7,3,6]=>[6,1,7,3,2,4,5]
[4,5,1,2,7,6,3]=>[1,7,6,3,2,4,5]
[4,5,1,3,2,6,7]=>[5,3,1,4,2,6,7]
[4,5,1,3,2,7,6]=>[4,1,7,3,2,5,6]
[4,5,1,3,6,2,7]=>[4,1,6,3,2,5,7]
[4,5,1,3,6,7,2]=>[4,1,5,2,7,3,6]
[4,5,1,3,7,2,6]=>[4,1,6,2,7,3,5]
[4,5,1,3,7,6,2]=>[1,7,4,2,6,3,5]
[4,5,1,6,2,3,7]=>[5,1,6,3,2,4,7]
[4,5,1,6,2,7,3]=>[1,7,5,3,2,4,6]
[4,5,1,6,3,2,7]=>[1,6,5,3,2,4,7]
[4,5,1,6,3,7,2]=>[1,5,4,2,7,3,6]
[4,5,1,6,7,2,3]=>[1,6,4,2,7,3,5]
[4,5,1,6,7,3,2]=>[1,4,2,7,6,3,5]
[4,5,1,7,2,3,6]=>[5,1,6,2,7,3,4]
[4,5,1,7,2,6,3]=>[1,7,5,2,6,3,4]
[4,5,1,7,3,2,6]=>[1,6,5,2,7,3,4]
[4,5,1,7,3,6,2]=>[1,5,2,7,6,3,4]
[4,5,1,7,6,2,3]=>[1,6,2,7,5,3,4]
[4,5,1,7,6,3,2]=>[1,2,7,6,5,3,4]
[4,5,2,1,3,6,7]=>[4,3,1,5,2,6,7]
[4,5,2,1,3,7,6]=>[3,1,7,4,2,5,6]
[4,5,2,1,6,3,7]=>[3,1,6,4,2,5,7]
[4,5,2,1,6,7,3]=>[3,1,5,2,7,4,6]
[4,5,2,1,7,3,6]=>[3,1,6,2,7,4,5]
[4,5,2,1,7,6,3]=>[1,7,3,2,6,4,5]
[4,5,2,3,1,6,7]=>[3,1,5,4,2,6,7]
[4,5,2,3,1,7,6]=>[3,1,4,2,7,5,6]
[4,5,2,3,6,1,7]=>[3,1,4,2,6,5,7]
[4,5,2,3,6,7,1]=>[3,1,4,2,5,7,6]
[4,5,2,3,7,1,6]=>[3,1,4,2,6,7,5]
[4,5,2,3,7,6,1]=>[1,7,3,2,4,6,5]
[4,5,2,6,1,3,7]=>[3,1,5,2,6,4,7]
[4,5,2,6,1,7,3]=>[1,7,3,2,5,4,6]
[4,5,2,6,3,1,7]=>[1,6,3,2,5,4,7]
[4,5,2,6,3,7,1]=>[1,5,3,2,4,7,6]
[4,5,2,6,7,1,3]=>[1,6,3,2,4,7,5]
[4,5,2,6,7,3,1]=>[1,4,2,7,3,6,5]
[4,5,2,7,1,3,6]=>[3,1,5,2,6,7,4]
[4,5,2,7,1,6,3]=>[1,7,3,2,5,6,4]
[4,5,2,7,3,1,6]=>[1,6,3,2,5,7,4]
[4,5,2,7,3,6,1]=>[1,5,2,7,3,6,4]
[4,5,2,7,6,1,3]=>[1,6,2,7,3,5,4]
[4,5,2,7,6,3,1]=>[1,2,7,6,3,5,4]
[4,5,3,1,2,6,7]=>[4,1,5,3,2,6,7]
[4,5,3,1,2,7,6]=>[1,7,4,3,2,5,6]
[4,5,3,1,6,2,7]=>[1,6,4,3,2,5,7]
[4,5,3,1,6,7,2]=>[1,5,3,2,7,4,6]
[4,5,3,1,7,2,6]=>[1,6,3,2,7,4,5]
[4,5,3,1,7,6,2]=>[1,3,2,7,6,4,5]
[4,5,3,2,1,6,7]=>[1,5,4,3,2,6,7]
[4,5,3,2,1,7,6]=>[1,4,3,2,7,5,6]
[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7]
[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6]
[4,5,3,2,7,1,6]=>[1,4,3,2,6,7,5]
[4,5,3,2,7,6,1]=>[1,3,2,7,4,6,5]
[4,5,3,6,1,2,7]=>[1,5,3,2,6,4,7]
[4,5,3,6,1,7,2]=>[1,3,2,7,5,4,6]
[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7]
[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6]
[4,5,3,6,7,1,2]=>[1,3,2,6,4,7,5]
[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5]
[4,5,3,7,1,2,6]=>[1,5,3,2,6,7,4]
[4,5,3,7,1,6,2]=>[1,3,2,7,5,6,4]
[4,5,3,7,2,1,6]=>[1,3,2,6,5,7,4]
[4,5,3,7,2,6,1]=>[1,3,2,5,7,6,4]
[4,5,3,7,6,1,2]=>[1,3,2,6,7,5,4]
[4,5,3,7,6,2,1]=>[1,2,7,3,6,5,4]
[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]
[4,5,6,1,2,7,3]=>[1,7,4,2,5,3,6]
[4,5,6,1,3,2,7]=>[1,6,4,2,5,3,7]
[4,5,6,1,3,7,2]=>[1,5,2,7,4,3,6]
[4,5,6,1,7,2,3]=>[1,6,2,7,4,3,5]
[4,5,6,1,7,3,2]=>[1,2,7,6,4,3,5]
[4,5,6,2,1,3,7]=>[1,5,4,2,6,3,7]
[4,5,6,2,1,7,3]=>[1,4,2,7,5,3,6]
[4,5,6,2,3,1,7]=>[1,4,2,6,5,3,7]
[4,5,6,2,3,7,1]=>[1,4,2,5,3,7,6]
[4,5,6,2,7,1,3]=>[1,4,2,6,3,7,5]
[4,5,6,2,7,3,1]=>[1,2,7,4,3,6,5]
[4,5,6,3,1,2,7]=>[1,5,2,6,4,3,7]
[4,5,6,3,1,7,2]=>[1,2,7,5,4,3,6]
[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7]
[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6]
[4,5,6,3,7,1,2]=>[1,2,6,4,3,7,5]
[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5]
[4,5,6,7,1,2,3]=>[1,5,2,6,3,7,4]
[4,5,6,7,1,3,2]=>[1,2,7,5,3,6,4]
[4,5,6,7,2,1,3]=>[1,2,6,5,3,7,4]
[4,5,6,7,2,3,1]=>[1,2,5,3,7,6,4]
[4,5,6,7,3,1,2]=>[1,2,6,3,7,5,4]
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]
[4,5,7,1,2,3,6]=>[4,1,5,2,6,7,3]
[4,5,7,1,2,6,3]=>[1,7,4,2,5,6,3]
[4,5,7,1,3,2,6]=>[1,6,4,2,5,7,3]
[4,5,7,1,3,6,2]=>[1,5,2,7,4,6,3]
[4,5,7,1,6,2,3]=>[1,6,2,7,4,5,3]
[4,5,7,1,6,3,2]=>[1,2,7,6,4,5,3]
[4,5,7,2,1,3,6]=>[1,5,4,2,6,7,3]
[4,5,7,2,1,6,3]=>[1,4,2,7,5,6,3]
[4,5,7,2,3,1,6]=>[1,4,2,6,5,7,3]
[4,5,7,2,3,6,1]=>[1,4,2,5,7,6,3]
[4,5,7,2,6,1,3]=>[1,4,2,6,7,5,3]
[4,5,7,2,6,3,1]=>[1,2,7,4,6,5,3]
[4,5,7,3,1,2,6]=>[1,5,2,6,4,7,3]
[4,5,7,3,1,6,2]=>[1,2,7,5,4,6,3]
[4,5,7,3,2,1,6]=>[1,2,6,5,4,7,3]
[4,5,7,3,2,6,1]=>[1,2,5,4,7,6,3]
[4,5,7,3,6,1,2]=>[1,2,6,4,7,5,3]
[4,5,7,3,6,2,1]=>[1,2,4,7,6,5,3]
[4,5,7,6,1,2,3]=>[1,5,2,6,7,4,3]
[4,5,7,6,1,3,2]=>[1,2,7,5,6,4,3]
[4,5,7,6,2,1,3]=>[1,2,6,5,7,4,3]
[4,5,7,6,2,3,1]=>[1,2,5,7,6,4,3]
[4,5,7,6,3,1,2]=>[1,2,6,7,5,4,3]
[4,5,7,6,3,2,1]=>[7,1,2,6,5,4,3]
[4,6,1,2,3,5,7]=>[3,4,1,5,6,2,7]
[4,6,1,2,3,7,5]=>[7,3,1,4,5,2,6]
[4,6,1,2,5,3,7]=>[6,3,1,4,5,2,7]
[4,6,1,2,5,7,3]=>[5,1,7,3,4,2,6]
[4,6,1,2,7,3,5]=>[6,1,7,3,4,2,5]
[4,6,1,2,7,5,3]=>[1,7,6,3,4,2,5]
[4,6,1,3,2,5,7]=>[5,3,1,4,6,2,7]
[4,6,1,3,2,7,5]=>[4,1,7,3,5,2,6]
[4,6,1,3,5,2,7]=>[4,1,6,3,5,2,7]
[4,6,1,3,5,7,2]=>[4,1,5,7,3,2,6]
[4,6,1,3,7,2,5]=>[4,1,6,7,3,2,5]
[4,6,1,3,7,5,2]=>[1,7,4,6,3,2,5]
[4,6,1,5,2,3,7]=>[5,1,6,3,4,2,7]
[4,6,1,5,2,7,3]=>[1,7,5,3,4,2,6]
[4,6,1,5,3,2,7]=>[1,6,5,3,4,2,7]
[4,6,1,5,3,7,2]=>[1,5,4,7,3,2,6]
[4,6,1,5,7,2,3]=>[1,6,4,7,3,2,5]
[4,6,1,5,7,3,2]=>[1,4,7,6,3,2,5]
[4,6,1,7,2,3,5]=>[5,1,6,7,3,2,4]
[4,6,1,7,2,5,3]=>[1,7,5,6,3,2,4]
[4,6,1,7,3,2,5]=>[1,6,5,7,3,2,4]
[4,6,1,7,3,5,2]=>[1,5,7,6,3,2,4]
[4,6,1,7,5,2,3]=>[1,6,7,5,3,2,4]
[4,6,1,7,5,3,2]=>[7,1,6,5,3,2,4]
[4,6,2,1,3,5,7]=>[4,3,1,5,6,2,7]
[4,6,2,1,3,7,5]=>[3,1,7,4,5,2,6]
[4,6,2,1,5,3,7]=>[3,1,6,4,5,2,7]
[4,6,2,1,5,7,3]=>[3,1,5,7,4,2,6]
[4,6,2,1,7,3,5]=>[3,1,6,7,4,2,5]
[4,6,2,1,7,5,3]=>[1,7,3,6,4,2,5]
[4,6,2,3,1,5,7]=>[3,1,5,4,6,2,7]
[4,6,2,3,1,7,5]=>[3,1,4,7,5,2,6]
[4,6,2,3,5,1,7]=>[3,1,4,6,5,2,7]
[4,6,2,3,5,7,1]=>[3,1,4,5,2,7,6]
[4,6,2,3,7,1,5]=>[3,1,4,6,2,7,5]
[4,6,2,3,7,5,1]=>[1,7,3,4,2,6,5]
[4,6,2,5,1,3,7]=>[3,1,5,6,4,2,7]
[4,6,2,5,1,7,3]=>[1,7,3,5,4,2,6]
[4,6,2,5,3,1,7]=>[1,6,3,5,4,2,7]
[4,6,2,5,3,7,1]=>[1,5,3,4,2,7,6]
[4,6,2,5,7,1,3]=>[1,6,3,4,2,7,5]
[4,6,2,5,7,3,1]=>[1,4,7,3,2,6,5]
[4,6,2,7,1,3,5]=>[3,1,5,6,2,7,4]
[4,6,2,7,1,5,3]=>[1,7,3,5,2,6,4]
[4,6,2,7,3,1,5]=>[1,6,3,5,2,7,4]
[4,6,2,7,3,5,1]=>[1,5,7,3,2,6,4]
[4,6,2,7,5,1,3]=>[1,6,7,3,2,5,4]
[4,6,2,7,5,3,1]=>[7,1,6,3,2,5,4]
[4,6,3,1,2,5,7]=>[4,1,5,3,6,2,7]
[4,6,3,1,2,7,5]=>[1,7,4,3,5,2,6]
[4,6,3,1,5,2,7]=>[1,6,4,3,5,2,7]
[4,6,3,1,5,7,2]=>[1,5,3,7,4,2,6]
[4,6,3,1,7,2,5]=>[1,6,3,7,4,2,5]
[4,6,3,1,7,5,2]=>[1,3,7,6,4,2,5]
[4,6,3,2,1,5,7]=>[1,5,4,3,6,2,7]
[4,6,3,2,1,7,5]=>[1,4,3,7,5,2,6]
[4,6,3,2,5,1,7]=>[1,4,3,6,5,2,7]
[4,6,3,2,5,7,1]=>[1,4,3,5,2,7,6]
[4,6,3,2,7,1,5]=>[1,4,3,6,2,7,5]
[4,6,3,2,7,5,1]=>[1,3,7,4,2,6,5]
[4,6,3,5,1,2,7]=>[1,5,3,6,4,2,7]
[4,6,3,5,1,7,2]=>[1,3,7,5,4,2,6]
[4,6,3,5,2,1,7]=>[1,3,6,5,4,2,7]
[4,6,3,5,2,7,1]=>[1,3,5,4,2,7,6]
[4,6,3,5,7,1,2]=>[1,3,6,4,2,7,5]
[4,6,3,5,7,2,1]=>[1,3,4,2,7,6,5]
[4,6,3,7,1,2,5]=>[1,5,3,6,2,7,4]
[4,6,3,7,1,5,2]=>[1,3,7,5,2,6,4]
[4,6,3,7,2,1,5]=>[1,3,6,5,2,7,4]
[4,6,3,7,2,5,1]=>[1,3,5,2,7,6,4]
[4,6,3,7,5,1,2]=>[1,3,6,2,7,5,4]
[4,6,3,7,5,2,1]=>[7,1,3,2,6,5,4]
[4,6,5,1,2,3,7]=>[4,1,5,6,3,2,7]
[4,6,5,1,2,7,3]=>[1,7,4,5,3,2,6]
[4,6,5,1,3,2,7]=>[1,6,4,5,3,2,7]
[4,6,5,1,3,7,2]=>[1,5,7,4,3,2,6]
[4,6,5,1,7,2,3]=>[1,6,7,4,3,2,5]
[4,6,5,1,7,3,2]=>[7,1,6,4,3,2,5]
[4,6,5,2,1,3,7]=>[1,5,4,6,3,2,7]
[4,6,5,2,1,7,3]=>[1,4,7,5,3,2,6]
[4,6,5,2,3,1,7]=>[1,4,6,5,3,2,7]
[4,6,5,2,3,7,1]=>[1,4,5,3,2,7,6]
[4,6,5,2,7,1,3]=>[1,4,6,3,2,7,5]
[4,6,5,2,7,3,1]=>[7,1,4,3,2,6,5]
[4,6,5,3,1,2,7]=>[1,5,6,4,3,2,7]
[4,6,5,3,1,7,2]=>[7,1,5,4,3,2,6]
[4,6,5,3,2,1,7]=>[6,1,5,4,3,2,7]
[4,6,5,3,2,7,1]=>[5,1,4,3,2,7,6]
[4,6,5,3,7,1,2]=>[6,1,4,3,2,7,5]
[4,6,5,3,7,2,1]=>[4,1,3,2,7,6,5]
[4,6,5,7,1,2,3]=>[1,5,6,3,2,7,4]
[4,6,5,7,1,3,2]=>[7,1,5,3,2,6,4]
[4,6,5,7,2,1,3]=>[6,1,5,3,2,7,4]
[4,6,5,7,2,3,1]=>[5,1,3,2,7,6,4]
[4,6,5,7,3,1,2]=>[6,1,3,2,7,5,4]
[4,6,5,7,3,2,1]=>[3,1,2,7,6,5,4]
[4,6,7,1,2,3,5]=>[4,1,5,6,2,7,3]
[4,6,7,1,2,5,3]=>[1,7,4,5,2,6,3]
[4,6,7,1,3,2,5]=>[1,6,4,5,2,7,3]
[4,6,7,1,3,5,2]=>[1,5,7,4,2,6,3]
[4,6,7,1,5,2,3]=>[1,6,7,4,2,5,3]
[4,6,7,1,5,3,2]=>[7,1,6,4,2,5,3]
[4,6,7,2,1,3,5]=>[1,5,4,6,2,7,3]
[4,6,7,2,1,5,3]=>[1,4,7,5,2,6,3]
[4,6,7,2,3,1,5]=>[1,4,6,5,2,7,3]
[4,6,7,2,3,5,1]=>[1,4,5,2,7,6,3]
[4,6,7,2,5,1,3]=>[1,4,6,2,7,5,3]
[4,6,7,2,5,3,1]=>[7,1,4,2,6,5,3]
[4,6,7,3,1,2,5]=>[1,5,6,4,2,7,3]
[4,6,7,3,1,5,2]=>[7,1,5,4,2,6,3]
[4,6,7,3,2,1,5]=>[6,1,5,4,2,7,3]
[4,6,7,3,2,5,1]=>[5,1,4,2,7,6,3]
[4,6,7,3,5,1,2]=>[6,1,4,2,7,5,3]
[4,6,7,3,5,2,1]=>[4,1,2,7,6,5,3]
[4,6,7,5,1,2,3]=>[1,5,6,2,7,4,3]
[4,6,7,5,1,3,2]=>[7,1,5,2,6,4,3]
[4,6,7,5,2,1,3]=>[6,1,5,2,7,4,3]
[4,6,7,5,2,3,1]=>[5,1,2,7,6,4,3]
[4,6,7,5,3,1,2]=>[6,1,2,7,5,4,3]
[4,6,7,5,3,2,1]=>[2,7,1,6,5,4,3]
[4,7,1,2,3,5,6]=>[3,4,1,5,6,7,2]
[4,7,1,2,3,6,5]=>[7,3,1,4,5,6,2]
[4,7,1,2,5,3,6]=>[6,3,1,4,5,7,2]
[4,7,1,2,5,6,3]=>[5,1,7,3,4,6,2]
[4,7,1,2,6,3,5]=>[6,1,7,3,4,5,2]
[4,7,1,2,6,5,3]=>[1,7,6,3,4,5,2]
[4,7,1,3,2,5,6]=>[5,3,1,4,6,7,2]
[4,7,1,3,2,6,5]=>[4,1,7,3,5,6,2]
[4,7,1,3,5,2,6]=>[4,1,6,3,5,7,2]
[4,7,1,3,5,6,2]=>[4,1,5,7,3,6,2]
[4,7,1,3,6,2,5]=>[4,1,6,7,3,5,2]
[4,7,1,3,6,5,2]=>[1,7,4,6,3,5,2]
[4,7,1,5,2,3,6]=>[5,1,6,3,4,7,2]
[4,7,1,5,2,6,3]=>[1,7,5,3,4,6,2]
[4,7,1,5,3,2,6]=>[1,6,5,3,4,7,2]
[4,7,1,5,3,6,2]=>[1,5,4,7,3,6,2]
[4,7,1,5,6,2,3]=>[1,6,4,7,3,5,2]
[4,7,1,5,6,3,2]=>[1,4,7,6,3,5,2]
[4,7,1,6,2,3,5]=>[5,1,6,7,3,4,2]
[4,7,1,6,2,5,3]=>[1,7,5,6,3,4,2]
[4,7,1,6,3,2,5]=>[1,6,5,7,3,4,2]
[4,7,1,6,3,5,2]=>[1,5,7,6,3,4,2]
[4,7,1,6,5,2,3]=>[1,6,7,5,3,4,2]
[4,7,1,6,5,3,2]=>[7,1,6,5,3,4,2]
[4,7,2,1,3,5,6]=>[4,3,1,5,6,7,2]
[4,7,2,1,3,6,5]=>[3,1,7,4,5,6,2]
[4,7,2,1,5,3,6]=>[3,1,6,4,5,7,2]
[4,7,2,1,5,6,3]=>[3,1,5,7,4,6,2]
[4,7,2,1,6,3,5]=>[3,1,6,7,4,5,2]
[4,7,2,1,6,5,3]=>[1,7,3,6,4,5,2]
[4,7,2,3,1,5,6]=>[3,1,5,4,6,7,2]
[4,7,2,3,1,6,5]=>[3,1,4,7,5,6,2]
[4,7,2,3,5,1,6]=>[3,1,4,6,5,7,2]
[4,7,2,3,5,6,1]=>[3,1,4,5,7,6,2]
[4,7,2,3,6,1,5]=>[3,1,4,6,7,5,2]
[4,7,2,3,6,5,1]=>[1,7,3,4,6,5,2]
[4,7,2,5,1,3,6]=>[3,1,5,6,4,7,2]
[4,7,2,5,1,6,3]=>[1,7,3,5,4,6,2]
[4,7,2,5,3,1,6]=>[1,6,3,5,4,7,2]
[4,7,2,5,3,6,1]=>[1,5,3,4,7,6,2]
[4,7,2,5,6,1,3]=>[1,6,3,4,7,5,2]
[4,7,2,5,6,3,1]=>[1,4,7,3,6,5,2]
[4,7,2,6,1,3,5]=>[3,1,5,6,7,4,2]
[4,7,2,6,1,5,3]=>[1,7,3,5,6,4,2]
[4,7,2,6,3,1,5]=>[1,6,3,5,7,4,2]
[4,7,2,6,3,5,1]=>[1,5,7,3,6,4,2]
[4,7,2,6,5,1,3]=>[1,6,7,3,5,4,2]
[4,7,2,6,5,3,1]=>[7,1,6,3,5,4,2]
[4,7,3,1,2,5,6]=>[4,1,5,3,6,7,2]
[4,7,3,1,2,6,5]=>[1,7,4,3,5,6,2]
[4,7,3,1,5,2,6]=>[1,6,4,3,5,7,2]
[4,7,3,1,5,6,2]=>[1,5,3,7,4,6,2]
[4,7,3,1,6,2,5]=>[1,6,3,7,4,5,2]
[4,7,3,1,6,5,2]=>[1,3,7,6,4,5,2]
[4,7,3,2,1,5,6]=>[1,5,4,3,6,7,2]
[4,7,3,2,1,6,5]=>[1,4,3,7,5,6,2]
[4,7,3,2,5,1,6]=>[1,4,3,6,5,7,2]
[4,7,3,2,5,6,1]=>[1,4,3,5,7,6,2]
[4,7,3,2,6,1,5]=>[1,4,3,6,7,5,2]
[4,7,3,2,6,5,1]=>[1,3,7,4,6,5,2]
[4,7,3,5,1,2,6]=>[1,5,3,6,4,7,2]
[4,7,3,5,1,6,2]=>[1,3,7,5,4,6,2]
[4,7,3,5,2,1,6]=>[1,3,6,5,4,7,2]
[4,7,3,5,2,6,1]=>[1,3,5,4,7,6,2]
[4,7,3,5,6,1,2]=>[1,3,6,4,7,5,2]
[4,7,3,5,6,2,1]=>[1,3,4,7,6,5,2]
[4,7,3,6,1,2,5]=>[1,5,3,6,7,4,2]
[4,7,3,6,1,5,2]=>[1,3,7,5,6,4,2]
[4,7,3,6,2,1,5]=>[1,3,6,5,7,4,2]
[4,7,3,6,2,5,1]=>[1,3,5,7,6,4,2]
[4,7,3,6,5,1,2]=>[1,3,6,7,5,4,2]
[4,7,3,6,5,2,1]=>[7,1,3,6,5,4,2]
[4,7,5,1,2,3,6]=>[4,1,5,6,3,7,2]
[4,7,5,1,2,6,3]=>[1,7,4,5,3,6,2]
[4,7,5,1,3,2,6]=>[1,6,4,5,3,7,2]
[4,7,5,1,3,6,2]=>[1,5,7,4,3,6,2]
[4,7,5,1,6,2,3]=>[1,6,7,4,3,5,2]
[4,7,5,1,6,3,2]=>[7,1,6,4,3,5,2]
[4,7,5,2,1,3,6]=>[1,5,4,6,3,7,2]
[4,7,5,2,1,6,3]=>[1,4,7,5,3,6,2]
[4,7,5,2,3,1,6]=>[1,4,6,5,3,7,2]
[4,7,5,2,3,6,1]=>[1,4,5,3,7,6,2]
[4,7,5,2,6,1,3]=>[1,4,6,3,7,5,2]
[4,7,5,2,6,3,1]=>[7,1,4,3,6,5,2]
[4,7,5,3,1,2,6]=>[1,5,6,4,3,7,2]
[4,7,5,3,1,6,2]=>[7,1,5,4,3,6,2]
[4,7,5,3,2,1,6]=>[6,1,5,4,3,7,2]
[4,7,5,3,2,6,1]=>[5,1,4,3,7,6,2]
[4,7,5,3,6,1,2]=>[6,1,4,3,7,5,2]
[4,7,5,3,6,2,1]=>[4,1,3,7,6,5,2]
[4,7,5,6,1,2,3]=>[1,5,6,3,7,4,2]
[4,7,5,6,1,3,2]=>[7,1,5,3,6,4,2]
[4,7,5,6,2,1,3]=>[6,1,5,3,7,4,2]
[4,7,5,6,2,3,1]=>[5,1,3,7,6,4,2]
[4,7,5,6,3,1,2]=>[6,1,3,7,5,4,2]
[4,7,5,6,3,2,1]=>[3,7,1,6,5,4,2]
[4,7,6,1,2,3,5]=>[4,1,5,6,7,3,2]
[4,7,6,1,2,5,3]=>[1,7,4,5,6,3,2]
[4,7,6,1,3,2,5]=>[1,6,4,5,7,3,2]
[4,7,6,1,3,5,2]=>[1,5,7,4,6,3,2]
[4,7,6,1,5,2,3]=>[1,6,7,4,5,3,2]
[4,7,6,1,5,3,2]=>[7,1,6,4,5,3,2]
[4,7,6,2,1,3,5]=>[1,5,4,6,7,3,2]
[4,7,6,2,1,5,3]=>[1,4,7,5,6,3,2]
[4,7,6,2,3,1,5]=>[1,4,6,5,7,3,2]
[4,7,6,2,3,5,1]=>[1,4,5,7,6,3,2]
[4,7,6,2,5,1,3]=>[1,4,6,7,5,3,2]
[4,7,6,2,5,3,1]=>[7,1,4,6,5,3,2]
[4,7,6,3,1,2,5]=>[1,5,6,4,7,3,2]
[4,7,6,3,1,5,2]=>[7,1,5,4,6,3,2]
[4,7,6,3,2,1,5]=>[6,1,5,4,7,3,2]
[4,7,6,3,2,5,1]=>[5,1,4,7,6,3,2]
[4,7,6,3,5,1,2]=>[6,1,4,7,5,3,2]
[4,7,6,3,5,2,1]=>[4,7,1,6,5,3,2]
[4,7,6,5,1,2,3]=>[1,5,6,7,4,3,2]
[4,7,6,5,1,3,2]=>[7,1,5,6,4,3,2]
[4,7,6,5,2,1,3]=>[6,1,5,7,4,3,2]
[4,7,6,5,2,3,1]=>[5,7,1,6,4,3,2]
[4,7,6,5,3,1,2]=>[6,7,1,5,4,3,2]
[4,7,6,5,3,2,1]=>[7,6,1,5,4,3,2]
[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[5,1,2,3,4,7,6]=>[7,2,3,4,1,5,6]
[5,1,2,3,6,4,7]=>[6,2,3,4,1,5,7]
[5,1,2,3,6,7,4]=>[5,7,2,3,1,4,6]
[5,1,2,3,7,4,6]=>[6,7,2,3,1,4,5]
[5,1,2,3,7,6,4]=>[7,6,2,3,1,4,5]
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]
[5,1,2,4,3,7,6]=>[4,7,2,3,1,5,6]
[5,1,2,4,6,3,7]=>[4,6,2,3,1,5,7]
[5,1,2,4,6,7,3]=>[4,5,7,2,1,3,6]
[5,1,2,4,7,3,6]=>[4,6,7,2,1,3,5]
[5,1,2,4,7,6,3]=>[7,4,6,2,1,3,5]
[5,1,2,6,3,4,7]=>[5,6,2,3,1,4,7]
[5,1,2,6,3,7,4]=>[7,5,2,3,1,4,6]
[5,1,2,6,4,3,7]=>[6,5,2,3,1,4,7]
[5,1,2,6,4,7,3]=>[5,4,7,2,1,3,6]
[5,1,2,6,7,3,4]=>[6,4,7,2,1,3,5]
[5,1,2,6,7,4,3]=>[4,7,6,2,1,3,5]
[5,1,2,7,3,4,6]=>[5,6,7,2,1,3,4]
[5,1,2,7,3,6,4]=>[7,5,6,2,1,3,4]
[5,1,2,7,4,3,6]=>[6,5,7,2,1,3,4]
[5,1,2,7,4,6,3]=>[5,7,6,2,1,3,4]
[5,1,2,7,6,3,4]=>[6,7,5,2,1,3,4]
[5,1,2,7,6,4,3]=>[7,6,5,2,1,3,4]
[5,1,3,2,4,6,7]=>[4,2,3,5,1,6,7]
[5,1,3,2,4,7,6]=>[3,7,2,4,1,5,6]
[5,1,3,2,6,4,7]=>[3,6,2,4,1,5,7]
[5,1,3,2,6,7,4]=>[3,5,7,2,1,4,6]
[5,1,3,2,7,4,6]=>[3,6,7,2,1,4,5]
[5,1,3,2,7,6,4]=>[7,3,6,2,1,4,5]
[5,1,3,4,2,6,7]=>[3,5,2,4,1,6,7]
[5,1,3,4,2,7,6]=>[3,4,7,2,1,5,6]
[5,1,3,4,6,2,7]=>[3,4,6,2,1,5,7]
[5,1,3,4,6,7,2]=>[3,4,5,1,7,2,6]
[5,1,3,4,7,2,6]=>[3,4,6,1,7,2,5]
[5,1,3,4,7,6,2]=>[7,3,4,1,6,2,5]
[5,1,3,6,2,4,7]=>[3,5,6,2,1,4,7]
[5,1,3,6,2,7,4]=>[7,3,5,2,1,4,6]
[5,1,3,6,4,2,7]=>[6,3,5,2,1,4,7]
[5,1,3,6,4,7,2]=>[5,3,4,1,7,2,6]
[5,1,3,6,7,2,4]=>[6,3,4,1,7,2,5]
[5,1,3,6,7,4,2]=>[4,7,3,1,6,2,5]
[5,1,3,7,2,4,6]=>[3,5,6,1,7,2,4]
[5,1,3,7,2,6,4]=>[7,3,5,1,6,2,4]
[5,1,3,7,4,2,6]=>[6,3,5,1,7,2,4]
[5,1,3,7,4,6,2]=>[5,7,3,1,6,2,4]
[5,1,3,7,6,2,4]=>[6,7,3,1,5,2,4]
[5,1,3,7,6,4,2]=>[7,6,3,1,5,2,4]
[5,1,4,2,3,6,7]=>[4,5,2,3,1,6,7]
[5,1,4,2,3,7,6]=>[7,4,2,3,1,5,6]
[5,1,4,2,6,3,7]=>[6,4,2,3,1,5,7]
[5,1,4,2,6,7,3]=>[5,3,7,2,1,4,6]
[5,1,4,2,7,3,6]=>[6,3,7,2,1,4,5]
[5,1,4,2,7,6,3]=>[3,7,6,2,1,4,5]
[5,1,4,3,2,6,7]=>[5,4,2,3,1,6,7]
[5,1,4,3,2,7,6]=>[4,3,7,2,1,5,6]
[5,1,4,3,6,2,7]=>[4,3,6,2,1,5,7]
[5,1,4,3,6,7,2]=>[4,3,5,1,7,2,6]
[5,1,4,3,7,2,6]=>[4,3,6,1,7,2,5]
[5,1,4,3,7,6,2]=>[3,7,4,1,6,2,5]
[5,1,4,6,2,3,7]=>[5,3,6,2,1,4,7]
[5,1,4,6,2,7,3]=>[3,7,5,2,1,4,6]
[5,1,4,6,3,2,7]=>[3,6,5,2,1,4,7]
[5,1,4,6,3,7,2]=>[3,5,4,1,7,2,6]
[5,1,4,6,7,2,3]=>[3,6,4,1,7,2,5]
[5,1,4,6,7,3,2]=>[3,4,1,7,6,2,5]
[5,1,4,7,2,3,6]=>[5,3,6,1,7,2,4]
[5,1,4,7,2,6,3]=>[3,7,5,1,6,2,4]
[5,1,4,7,3,2,6]=>[3,6,5,1,7,2,4]
[5,1,4,7,3,6,2]=>[3,5,1,7,6,2,4]
[5,1,4,7,6,2,3]=>[3,6,1,7,5,2,4]
[5,1,4,7,6,3,2]=>[7,3,1,6,5,2,4]
[5,1,6,2,3,4,7]=>[4,5,6,2,1,3,7]
[5,1,6,2,3,7,4]=>[7,4,5,2,1,3,6]
[5,1,6,2,4,3,7]=>[6,4,5,2,1,3,7]
[5,1,6,2,4,7,3]=>[5,7,4,2,1,3,6]
[5,1,6,2,7,3,4]=>[6,7,4,2,1,3,5]
[5,1,6,2,7,4,3]=>[7,6,4,2,1,3,5]
[5,1,6,3,2,4,7]=>[5,4,6,2,1,3,7]
[5,1,6,3,2,7,4]=>[4,7,5,2,1,3,6]
[5,1,6,3,4,2,7]=>[4,6,5,2,1,3,7]
[5,1,6,3,4,7,2]=>[4,5,3,1,7,2,6]
[5,1,6,3,7,2,4]=>[4,6,3,1,7,2,5]
[5,1,6,3,7,4,2]=>[7,4,3,1,6,2,5]
[5,1,6,4,2,3,7]=>[5,6,4,2,1,3,7]
[5,1,6,4,2,7,3]=>[7,5,4,2,1,3,6]
[5,1,6,4,3,2,7]=>[6,5,4,2,1,3,7]
[5,1,6,4,3,7,2]=>[5,4,3,1,7,2,6]
[5,1,6,4,7,2,3]=>[6,4,3,1,7,2,5]
[5,1,6,4,7,3,2]=>[4,3,1,7,6,2,5]
[5,1,6,7,2,3,4]=>[5,6,3,1,7,2,4]
[5,1,6,7,2,4,3]=>[7,5,3,1,6,2,4]
[5,1,6,7,3,2,4]=>[6,5,3,1,7,2,4]
[5,1,6,7,3,4,2]=>[5,3,1,7,6,2,4]
[5,1,6,7,4,2,3]=>[6,3,1,7,5,2,4]
[5,1,6,7,4,3,2]=>[3,1,7,6,5,2,4]
[5,1,7,2,3,4,6]=>[4,5,6,1,7,2,3]
[5,1,7,2,3,6,4]=>[7,4,5,1,6,2,3]
[5,1,7,2,4,3,6]=>[6,4,5,1,7,2,3]
[5,1,7,2,4,6,3]=>[5,7,4,1,6,2,3]
[5,1,7,2,6,3,4]=>[6,7,4,1,5,2,3]
[5,1,7,2,6,4,3]=>[7,6,4,1,5,2,3]
[5,1,7,3,2,4,6]=>[5,4,6,1,7,2,3]
[5,1,7,3,2,6,4]=>[4,7,5,1,6,2,3]
[5,1,7,3,4,2,6]=>[4,6,5,1,7,2,3]
[5,1,7,3,4,6,2]=>[4,5,1,7,6,2,3]
[5,1,7,3,6,2,4]=>[4,6,1,7,5,2,3]
[5,1,7,3,6,4,2]=>[7,4,1,6,5,2,3]
[5,1,7,4,2,3,6]=>[5,6,4,1,7,2,3]
[5,1,7,4,2,6,3]=>[7,5,4,1,6,2,3]
[5,1,7,4,3,2,6]=>[6,5,4,1,7,2,3]
[5,1,7,4,3,6,2]=>[5,4,1,7,6,2,3]
[5,1,7,4,6,2,3]=>[6,4,1,7,5,2,3]
[5,1,7,4,6,3,2]=>[4,1,7,6,5,2,3]
[5,1,7,6,2,3,4]=>[5,6,1,7,4,2,3]
[5,1,7,6,2,4,3]=>[7,5,1,6,4,2,3]
[5,1,7,6,3,2,4]=>[6,5,1,7,4,2,3]
[5,1,7,6,3,4,2]=>[5,1,7,6,4,2,3]
[5,1,7,6,4,2,3]=>[6,1,7,5,4,2,3]
[5,1,7,6,4,3,2]=>[1,7,6,5,4,2,3]
[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]
[5,2,1,3,4,7,6]=>[2,7,3,4,1,5,6]
[5,2,1,3,6,4,7]=>[2,6,3,4,1,5,7]
[5,2,1,3,6,7,4]=>[2,5,7,3,1,4,6]
[5,2,1,3,7,4,6]=>[2,6,7,3,1,4,5]
[5,2,1,3,7,6,4]=>[7,2,6,3,1,4,5]
[5,2,1,4,3,6,7]=>[2,5,3,4,1,6,7]
[5,2,1,4,3,7,6]=>[2,4,7,3,1,5,6]
[5,2,1,4,6,3,7]=>[2,4,6,3,1,5,7]
[5,2,1,4,6,7,3]=>[2,4,5,1,7,3,6]
[5,2,1,4,7,3,6]=>[2,4,6,1,7,3,5]
[5,2,1,4,7,6,3]=>[7,2,4,1,6,3,5]
[5,2,1,6,3,4,7]=>[2,5,6,3,1,4,7]
[5,2,1,6,3,7,4]=>[7,2,5,3,1,4,6]
[5,2,1,6,4,3,7]=>[6,2,5,3,1,4,7]
[5,2,1,6,4,7,3]=>[5,2,4,1,7,3,6]
[5,2,1,6,7,3,4]=>[6,2,4,1,7,3,5]
[5,2,1,6,7,4,3]=>[4,7,2,1,6,3,5]
[5,2,1,7,3,4,6]=>[2,5,6,1,7,3,4]
[5,2,1,7,3,6,4]=>[7,2,5,1,6,3,4]
[5,2,1,7,4,3,6]=>[6,2,5,1,7,3,4]
[5,2,1,7,4,6,3]=>[5,7,2,1,6,3,4]
[5,2,1,7,6,3,4]=>[6,7,2,1,5,3,4]
[5,2,1,7,6,4,3]=>[7,6,2,1,5,3,4]
[5,2,3,1,4,6,7]=>[2,4,3,5,1,6,7]
[5,2,3,1,4,7,6]=>[2,3,7,4,1,5,6]
[5,2,3,1,6,4,7]=>[2,3,6,4,1,5,7]
[5,2,3,1,6,7,4]=>[2,3,5,1,7,4,6]
[5,2,3,1,7,4,6]=>[2,3,6,1,7,4,5]
[5,2,3,1,7,6,4]=>[7,2,3,1,6,4,5]
[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]
[5,2,3,4,1,7,6]=>[2,3,4,1,7,5,6]
[5,2,3,4,6,1,7]=>[2,3,4,1,6,5,7]
[5,2,3,4,6,7,1]=>[2,3,4,1,5,7,6]
[5,2,3,4,7,1,6]=>[2,3,4,1,6,7,5]
[5,2,3,4,7,6,1]=>[7,2,3,1,4,6,5]
[5,2,3,6,1,4,7]=>[2,3,5,1,6,4,7]
[5,2,3,6,1,7,4]=>[7,2,3,1,5,4,6]
[5,2,3,6,4,1,7]=>[6,2,3,1,5,4,7]
[5,2,3,6,4,7,1]=>[5,2,3,1,4,7,6]
[5,2,3,6,7,1,4]=>[6,2,3,1,4,7,5]
[5,2,3,6,7,4,1]=>[4,7,2,1,3,6,5]
[5,2,3,7,1,4,6]=>[2,3,5,1,6,7,4]
[5,2,3,7,1,6,4]=>[7,2,3,1,5,6,4]
[5,2,3,7,4,1,6]=>[6,2,3,1,5,7,4]
[5,2,3,7,4,6,1]=>[5,7,2,1,3,6,4]
[5,2,3,7,6,1,4]=>[6,7,2,1,3,5,4]
[5,2,3,7,6,4,1]=>[7,6,2,1,3,5,4]
[5,2,4,1,3,6,7]=>[2,4,5,3,1,6,7]
[5,2,4,1,3,7,6]=>[7,2,4,3,1,5,6]
[5,2,4,1,6,3,7]=>[6,2,4,3,1,5,7]
[5,2,4,1,6,7,3]=>[5,2,3,1,7,4,6]
[5,2,4,1,7,3,6]=>[6,2,3,1,7,4,5]
[5,2,4,1,7,6,3]=>[3,7,2,1,6,4,5]
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]
[5,2,4,3,1,7,6]=>[4,2,3,1,7,5,6]
[5,2,4,3,6,1,7]=>[4,2,3,1,6,5,7]
[5,2,4,3,6,7,1]=>[4,2,3,1,5,7,6]
[5,2,4,3,7,1,6]=>[4,2,3,1,6,7,5]
[5,2,4,3,7,6,1]=>[3,7,2,1,4,6,5]
[5,2,4,6,1,3,7]=>[5,2,3,1,6,4,7]
[5,2,4,6,1,7,3]=>[3,7,2,1,5,4,6]
[5,2,4,6,3,1,7]=>[3,6,2,1,5,4,7]
[5,2,4,6,3,7,1]=>[3,5,2,1,4,7,6]
[5,2,4,6,7,1,3]=>[3,6,2,1,4,7,5]
[5,2,4,6,7,3,1]=>[3,4,1,7,2,6,5]
[5,2,4,7,1,3,6]=>[5,2,3,1,6,7,4]
[5,2,4,7,1,6,3]=>[3,7,2,1,5,6,4]
[5,2,4,7,3,1,6]=>[3,6,2,1,5,7,4]
[5,2,4,7,3,6,1]=>[3,5,1,7,2,6,4]
[5,2,4,7,6,1,3]=>[3,6,1,7,2,5,4]
[5,2,4,7,6,3,1]=>[7,3,1,6,2,5,4]
[5,2,6,1,3,4,7]=>[2,4,5,1,6,3,7]
[5,2,6,1,3,7,4]=>[7,2,4,1,5,3,6]
[5,2,6,1,4,3,7]=>[6,2,4,1,5,3,7]
[5,2,6,1,4,7,3]=>[5,7,2,1,4,3,6]
[5,2,6,1,7,3,4]=>[6,7,2,1,4,3,5]
[5,2,6,1,7,4,3]=>[7,6,2,1,4,3,5]
[5,2,6,3,1,4,7]=>[5,2,4,1,6,3,7]
[5,2,6,3,1,7,4]=>[4,7,2,1,5,3,6]
[5,2,6,3,4,1,7]=>[4,6,2,1,5,3,7]
[5,2,6,3,4,7,1]=>[4,5,2,1,3,7,6]
[5,2,6,3,7,1,4]=>[4,6,2,1,3,7,5]
[5,2,6,3,7,4,1]=>[7,4,2,1,3,6,5]
[5,2,6,4,1,3,7]=>[5,6,2,1,4,3,7]
[5,2,6,4,1,7,3]=>[7,5,2,1,4,3,6]
[5,2,6,4,3,1,7]=>[6,5,2,1,4,3,7]
[5,2,6,4,3,7,1]=>[5,4,2,1,3,7,6]
[5,2,6,4,7,1,3]=>[6,4,2,1,3,7,5]
[5,2,6,4,7,3,1]=>[4,3,1,7,2,6,5]
[5,2,6,7,1,3,4]=>[5,6,2,1,3,7,4]
[5,2,6,7,1,4,3]=>[7,5,2,1,3,6,4]
[5,2,6,7,3,1,4]=>[6,5,2,1,3,7,4]
[5,2,6,7,3,4,1]=>[5,3,1,7,2,6,4]
[5,2,6,7,4,1,3]=>[6,3,1,7,2,5,4]
[5,2,6,7,4,3,1]=>[3,1,7,6,2,5,4]
[5,2,7,1,3,4,6]=>[2,4,5,1,6,7,3]
[5,2,7,1,3,6,4]=>[7,2,4,1,5,6,3]
[5,2,7,1,4,3,6]=>[6,2,4,1,5,7,3]
[5,2,7,1,4,6,3]=>[5,7,2,1,4,6,3]
[5,2,7,1,6,3,4]=>[6,7,2,1,4,5,3]
[5,2,7,1,6,4,3]=>[7,6,2,1,4,5,3]
[5,2,7,3,1,4,6]=>[5,2,4,1,6,7,3]
[5,2,7,3,1,6,4]=>[4,7,2,1,5,6,3]
[5,2,7,3,4,1,6]=>[4,6,2,1,5,7,3]
[5,2,7,3,4,6,1]=>[4,5,1,7,2,6,3]
[5,2,7,3,6,1,4]=>[4,6,1,7,2,5,3]
[5,2,7,3,6,4,1]=>[7,4,1,6,2,5,3]
[5,2,7,4,1,3,6]=>[5,6,2,1,4,7,3]
[5,2,7,4,1,6,3]=>[7,5,2,1,4,6,3]
[5,2,7,4,3,1,6]=>[6,5,2,1,4,7,3]
[5,2,7,4,3,6,1]=>[5,4,1,7,2,6,3]
[5,2,7,4,6,1,3]=>[6,4,1,7,2,5,3]
[5,2,7,4,6,3,1]=>[4,1,7,6,2,5,3]
[5,2,7,6,1,3,4]=>[5,6,1,7,2,4,3]
[5,2,7,6,1,4,3]=>[7,5,1,6,2,4,3]
[5,2,7,6,3,1,4]=>[6,5,1,7,2,4,3]
[5,2,7,6,3,4,1]=>[5,1,7,6,2,4,3]
[5,2,7,6,4,1,3]=>[6,1,7,5,2,4,3]
[5,2,7,6,4,3,1]=>[1,7,6,5,2,4,3]
[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]
[5,3,1,2,4,7,6]=>[7,3,2,4,1,5,6]
[5,3,1,2,6,4,7]=>[6,3,2,4,1,5,7]
[5,3,1,2,6,7,4]=>[5,2,7,3,1,4,6]
[5,3,1,2,7,4,6]=>[6,2,7,3,1,4,5]
[5,3,1,2,7,6,4]=>[2,7,6,3,1,4,5]
[5,3,1,4,2,6,7]=>[5,3,2,4,1,6,7]
[5,3,1,4,2,7,6]=>[4,2,7,3,1,5,6]
[5,3,1,4,6,2,7]=>[4,2,6,3,1,5,7]
[5,3,1,4,6,7,2]=>[4,2,5,1,7,3,6]
[5,3,1,4,7,2,6]=>[4,2,6,1,7,3,5]
[5,3,1,4,7,6,2]=>[2,7,4,1,6,3,5]
[5,3,1,6,2,4,7]=>[5,2,6,3,1,4,7]
[5,3,1,6,2,7,4]=>[2,7,5,3,1,4,6]
[5,3,1,6,4,2,7]=>[2,6,5,3,1,4,7]
[5,3,1,6,4,7,2]=>[2,5,4,1,7,3,6]
[5,3,1,6,7,2,4]=>[2,6,4,1,7,3,5]
[5,3,1,6,7,4,2]=>[2,4,1,7,6,3,5]
[5,3,1,7,2,4,6]=>[5,2,6,1,7,3,4]
[5,3,1,7,2,6,4]=>[2,7,5,1,6,3,4]
[5,3,1,7,4,2,6]=>[2,6,5,1,7,3,4]
[5,3,1,7,4,6,2]=>[2,5,1,7,6,3,4]
[5,3,1,7,6,2,4]=>[2,6,1,7,5,3,4]
[5,3,1,7,6,4,2]=>[7,2,1,6,5,3,4]
[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]
[5,3,2,1,4,7,6]=>[3,2,7,4,1,5,6]
[5,3,2,1,6,4,7]=>[3,2,6,4,1,5,7]
[5,3,2,1,6,7,4]=>[3,2,5,1,7,4,6]
[5,3,2,1,7,4,6]=>[3,2,6,1,7,4,5]
[5,3,2,1,7,6,4]=>[2,7,3,1,6,4,5]
[5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]
[5,3,2,4,1,7,6]=>[3,2,4,1,7,5,6]
[5,3,2,4,6,1,7]=>[3,2,4,1,6,5,7]
[5,3,2,4,6,7,1]=>[3,2,4,1,5,7,6]
[5,3,2,4,7,1,6]=>[3,2,4,1,6,7,5]
[5,3,2,4,7,6,1]=>[2,7,3,1,4,6,5]
[5,3,2,6,1,4,7]=>[3,2,5,1,6,4,7]
[5,3,2,6,1,7,4]=>[2,7,3,1,5,4,6]
[5,3,2,6,4,1,7]=>[2,6,3,1,5,4,7]
[5,3,2,6,4,7,1]=>[2,5,3,1,4,7,6]
[5,3,2,6,7,1,4]=>[2,6,3,1,4,7,5]
[5,3,2,6,7,4,1]=>[2,4,1,7,3,6,5]
[5,3,2,7,1,4,6]=>[3,2,5,1,6,7,4]
[5,3,2,7,1,6,4]=>[2,7,3,1,5,6,4]
[5,3,2,7,4,1,6]=>[2,6,3,1,5,7,4]
[5,3,2,7,4,6,1]=>[2,5,1,7,3,6,4]
[5,3,2,7,6,1,4]=>[2,6,1,7,3,5,4]
[5,3,2,7,6,4,1]=>[7,2,1,6,3,5,4]
[5,3,4,1,2,6,7]=>[4,2,5,3,1,6,7]
[5,3,4,1,2,7,6]=>[2,7,4,3,1,5,6]
[5,3,4,1,6,2,7]=>[2,6,4,3,1,5,7]
[5,3,4,1,6,7,2]=>[2,5,3,1,7,4,6]
[5,3,4,1,7,2,6]=>[2,6,3,1,7,4,5]
[5,3,4,1,7,6,2]=>[2,3,1,7,6,4,5]
[5,3,4,2,1,6,7]=>[2,5,4,3,1,6,7]
[5,3,4,2,1,7,6]=>[2,4,3,1,7,5,6]
[5,3,4,2,6,1,7]=>[2,4,3,1,6,5,7]
[5,3,4,2,6,7,1]=>[2,4,3,1,5,7,6]
[5,3,4,2,7,1,6]=>[2,4,3,1,6,7,5]
[5,3,4,2,7,6,1]=>[2,3,1,7,4,6,5]
[5,3,4,6,1,2,7]=>[2,5,3,1,6,4,7]
[5,3,4,6,1,7,2]=>[2,3,1,7,5,4,6]
[5,3,4,6,2,1,7]=>[2,3,1,6,5,4,7]
[5,3,4,6,2,7,1]=>[2,3,1,5,4,7,6]
[5,3,4,6,7,1,2]=>[2,3,1,6,4,7,5]
[5,3,4,6,7,2,1]=>[2,3,1,4,7,6,5]
[5,3,4,7,1,2,6]=>[2,5,3,1,6,7,4]
[5,3,4,7,1,6,2]=>[2,3,1,7,5,6,4]
[5,3,4,7,2,1,6]=>[2,3,1,6,5,7,4]
[5,3,4,7,2,6,1]=>[2,3,1,5,7,6,4]
[5,3,4,7,6,1,2]=>[2,3,1,6,7,5,4]
[5,3,4,7,6,2,1]=>[7,2,1,3,6,5,4]
[5,3,6,1,2,4,7]=>[4,2,5,1,6,3,7]
[5,3,6,1,2,7,4]=>[2,7,4,1,5,3,6]
[5,3,6,1,4,2,7]=>[2,6,4,1,5,3,7]
[5,3,6,1,4,7,2]=>[2,5,1,7,4,3,6]
[5,3,6,1,7,2,4]=>[2,6,1,7,4,3,5]
[5,3,6,1,7,4,2]=>[7,2,1,6,4,3,5]
[5,3,6,2,1,4,7]=>[2,5,4,1,6,3,7]
[5,3,6,2,1,7,4]=>[2,4,1,7,5,3,6]
[5,3,6,2,4,1,7]=>[2,4,1,6,5,3,7]
[5,3,6,2,4,7,1]=>[2,4,1,5,3,7,6]
[5,3,6,2,7,1,4]=>[2,4,1,6,3,7,5]
[5,3,6,2,7,4,1]=>[7,2,1,4,3,6,5]
[5,3,6,4,1,2,7]=>[2,5,1,6,4,3,7]
[5,3,6,4,1,7,2]=>[7,2,1,5,4,3,6]
[5,3,6,4,2,1,7]=>[6,2,1,5,4,3,7]
[5,3,6,4,2,7,1]=>[5,2,1,4,3,7,6]
[5,3,6,4,7,1,2]=>[6,2,1,4,3,7,5]
[5,3,6,4,7,2,1]=>[4,2,1,3,7,6,5]
[5,3,6,7,1,2,4]=>[2,5,1,6,3,7,4]
[5,3,6,7,1,4,2]=>[7,2,1,5,3,6,4]
[5,3,6,7,2,1,4]=>[6,2,1,5,3,7,4]
[5,3,6,7,2,4,1]=>[5,2,1,3,7,6,4]
[5,3,6,7,4,1,2]=>[6,2,1,3,7,5,4]
[5,3,6,7,4,2,1]=>[3,1,7,2,6,5,4]
[5,3,7,1,2,4,6]=>[4,2,5,1,6,7,3]
[5,3,7,1,2,6,4]=>[2,7,4,1,5,6,3]
[5,3,7,1,4,2,6]=>[2,6,4,1,5,7,3]
[5,3,7,1,4,6,2]=>[2,5,1,7,4,6,3]
[5,3,7,1,6,2,4]=>[2,6,1,7,4,5,3]
[5,3,7,1,6,4,2]=>[7,2,1,6,4,5,3]
[5,3,7,2,1,4,6]=>[2,5,4,1,6,7,3]
[5,3,7,2,1,6,4]=>[2,4,1,7,5,6,3]
[5,3,7,2,4,1,6]=>[2,4,1,6,5,7,3]
[5,3,7,2,4,6,1]=>[2,4,1,5,7,6,3]
[5,3,7,2,6,1,4]=>[2,4,1,6,7,5,3]
[5,3,7,2,6,4,1]=>[7,2,1,4,6,5,3]
[5,3,7,4,1,2,6]=>[2,5,1,6,4,7,3]
[5,3,7,4,1,6,2]=>[7,2,1,5,4,6,3]
[5,3,7,4,2,1,6]=>[6,2,1,5,4,7,3]
[5,3,7,4,2,6,1]=>[5,2,1,4,7,6,3]
[5,3,7,4,6,1,2]=>[6,2,1,4,7,5,3]
[5,3,7,4,6,2,1]=>[4,1,7,2,6,5,3]
[5,3,7,6,1,2,4]=>[2,5,1,6,7,4,3]
[5,3,7,6,1,4,2]=>[7,2,1,5,6,4,3]
[5,3,7,6,2,1,4]=>[6,2,1,5,7,4,3]
[5,3,7,6,2,4,1]=>[5,1,7,2,6,4,3]
[5,3,7,6,4,1,2]=>[6,1,7,2,5,4,3]
[5,3,7,6,4,2,1]=>[1,7,6,2,5,4,3]
[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]
[5,4,1,2,3,7,6]=>[7,3,4,2,1,5,6]
[5,4,1,2,6,3,7]=>[6,3,4,2,1,5,7]
[5,4,1,2,6,7,3]=>[5,7,3,2,1,4,6]
[5,4,1,2,7,3,6]=>[6,7,3,2,1,4,5]
[5,4,1,2,7,6,3]=>[7,6,3,2,1,4,5]
[5,4,1,3,2,6,7]=>[5,3,4,2,1,6,7]
[5,4,1,3,2,7,6]=>[4,7,3,2,1,5,6]
[5,4,1,3,6,2,7]=>[4,6,3,2,1,5,7]
[5,4,1,3,6,7,2]=>[4,5,2,1,7,3,6]
[5,4,1,3,7,2,6]=>[4,6,2,1,7,3,5]
[5,4,1,3,7,6,2]=>[7,4,2,1,6,3,5]
[5,4,1,6,2,3,7]=>[5,6,3,2,1,4,7]
[5,4,1,6,2,7,3]=>[7,5,3,2,1,4,6]
[5,4,1,6,3,2,7]=>[6,5,3,2,1,4,7]
[5,4,1,6,3,7,2]=>[5,4,2,1,7,3,6]
[5,4,1,6,7,2,3]=>[6,4,2,1,7,3,5]
[5,4,1,6,7,3,2]=>[4,2,1,7,6,3,5]
[5,4,1,7,2,3,6]=>[5,6,2,1,7,3,4]
[5,4,1,7,2,6,3]=>[7,5,2,1,6,3,4]
[5,4,1,7,3,2,6]=>[6,5,2,1,7,3,4]
[5,4,1,7,3,6,2]=>[5,2,1,7,6,3,4]
[5,4,1,7,6,2,3]=>[6,2,1,7,5,3,4]
[5,4,1,7,6,3,2]=>[2,1,7,6,5,3,4]
[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]
[5,4,2,1,3,7,6]=>[3,7,4,2,1,5,6]
[5,4,2,1,6,3,7]=>[3,6,4,2,1,5,7]
[5,4,2,1,6,7,3]=>[3,5,2,1,7,4,6]
[5,4,2,1,7,3,6]=>[3,6,2,1,7,4,5]
[5,4,2,1,7,6,3]=>[7,3,2,1,6,4,5]
[5,4,2,3,1,6,7]=>[3,5,4,2,1,6,7]
[5,4,2,3,1,7,6]=>[3,4,2,1,7,5,6]
[5,4,2,3,6,1,7]=>[3,4,2,1,6,5,7]
[5,4,2,3,6,7,1]=>[3,4,2,1,5,7,6]
[5,4,2,3,7,1,6]=>[3,4,2,1,6,7,5]
[5,4,2,3,7,6,1]=>[7,3,2,1,4,6,5]
[5,4,2,6,1,3,7]=>[3,5,2,1,6,4,7]
[5,4,2,6,1,7,3]=>[7,3,2,1,5,4,6]
[5,4,2,6,3,1,7]=>[6,3,2,1,5,4,7]
[5,4,2,6,3,7,1]=>[5,3,2,1,4,7,6]
[5,4,2,6,7,1,3]=>[6,3,2,1,4,7,5]
[5,4,2,6,7,3,1]=>[4,2,1,7,3,6,5]
[5,4,2,7,1,3,6]=>[3,5,2,1,6,7,4]
[5,4,2,7,1,6,3]=>[7,3,2,1,5,6,4]
[5,4,2,7,3,1,6]=>[6,3,2,1,5,7,4]
[5,4,2,7,3,6,1]=>[5,2,1,7,3,6,4]
[5,4,2,7,6,1,3]=>[6,2,1,7,3,5,4]
[5,4,2,7,6,3,1]=>[2,1,7,6,3,5,4]
[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]
[5,4,3,1,2,7,6]=>[7,4,3,2,1,5,6]
[5,4,3,1,6,2,7]=>[6,4,3,2,1,5,7]
[5,4,3,1,6,7,2]=>[5,3,2,1,7,4,6]
[5,4,3,1,7,2,6]=>[6,3,2,1,7,4,5]
[5,4,3,1,7,6,2]=>[3,2,1,7,6,4,5]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]
[5,4,3,2,1,7,6]=>[4,3,2,1,7,5,6]
[5,4,3,2,6,1,7]=>[4,3,2,1,6,5,7]
[5,4,3,2,6,7,1]=>[4,3,2,1,5,7,6]
[5,4,3,2,7,1,6]=>[4,3,2,1,6,7,5]
[5,4,3,2,7,6,1]=>[3,2,1,7,4,6,5]
[5,4,3,6,1,2,7]=>[5,3,2,1,6,4,7]
[5,4,3,6,1,7,2]=>[3,2,1,7,5,4,6]
[5,4,3,6,2,1,7]=>[3,2,1,6,5,4,7]
[5,4,3,6,2,7,1]=>[3,2,1,5,4,7,6]
[5,4,3,6,7,1,2]=>[3,2,1,6,4,7,5]
[5,4,3,6,7,2,1]=>[3,2,1,4,7,6,5]
[5,4,3,7,1,2,6]=>[5,3,2,1,6,7,4]
[5,4,3,7,1,6,2]=>[3,2,1,7,5,6,4]
[5,4,3,7,2,1,6]=>[3,2,1,6,5,7,4]
[5,4,3,7,2,6,1]=>[3,2,1,5,7,6,4]
[5,4,3,7,6,1,2]=>[3,2,1,6,7,5,4]
[5,4,3,7,6,2,1]=>[2,1,7,3,6,5,4]
[5,4,6,1,2,3,7]=>[4,5,2,1,6,3,7]
[5,4,6,1,2,7,3]=>[7,4,2,1,5,3,6]
[5,4,6,1,3,2,7]=>[6,4,2,1,5,3,7]
[5,4,6,1,3,7,2]=>[5,2,1,7,4,3,6]
[5,4,6,1,7,2,3]=>[6,2,1,7,4,3,5]
[5,4,6,1,7,3,2]=>[2,1,7,6,4,3,5]
[5,4,6,2,1,3,7]=>[5,4,2,1,6,3,7]
[5,4,6,2,1,7,3]=>[4,2,1,7,5,3,6]
[5,4,6,2,3,1,7]=>[4,2,1,6,5,3,7]
[5,4,6,2,3,7,1]=>[4,2,1,5,3,7,6]
[5,4,6,2,7,1,3]=>[4,2,1,6,3,7,5]
[5,4,6,2,7,3,1]=>[2,1,7,4,3,6,5]
[5,4,6,3,1,2,7]=>[5,2,1,6,4,3,7]
[5,4,6,3,1,7,2]=>[2,1,7,5,4,3,6]
[5,4,6,3,2,1,7]=>[2,1,6,5,4,3,7]
[5,4,6,3,2,7,1]=>[2,1,5,4,3,7,6]
[5,4,6,3,7,1,2]=>[2,1,6,4,3,7,5]
[5,4,6,3,7,2,1]=>[2,1,4,3,7,6,5]
[5,4,6,7,1,2,3]=>[5,2,1,6,3,7,4]
[5,4,6,7,1,3,2]=>[2,1,7,5,3,6,4]
[5,4,6,7,2,1,3]=>[2,1,6,5,3,7,4]
[5,4,6,7,2,3,1]=>[2,1,5,3,7,6,4]
[5,4,6,7,3,1,2]=>[2,1,6,3,7,5,4]
[5,4,6,7,3,2,1]=>[2,1,3,7,6,5,4]
[5,4,7,1,2,3,6]=>[4,5,2,1,6,7,3]
[5,4,7,1,2,6,3]=>[7,4,2,1,5,6,3]
[5,4,7,1,3,2,6]=>[6,4,2,1,5,7,3]
[5,4,7,1,3,6,2]=>[5,2,1,7,4,6,3]
[5,4,7,1,6,2,3]=>[6,2,1,7,4,5,3]
[5,4,7,1,6,3,2]=>[2,1,7,6,4,5,3]
[5,4,7,2,1,3,6]=>[5,4,2,1,6,7,3]
[5,4,7,2,1,6,3]=>[4,2,1,7,5,6,3]
[5,4,7,2,3,1,6]=>[4,2,1,6,5,7,3]
[5,4,7,2,3,6,1]=>[4,2,1,5,7,6,3]
[5,4,7,2,6,1,3]=>[4,2,1,6,7,5,3]
[5,4,7,2,6,3,1]=>[2,1,7,4,6,5,3]
[5,4,7,3,1,2,6]=>[5,2,1,6,4,7,3]
[5,4,7,3,1,6,2]=>[2,1,7,5,4,6,3]
[5,4,7,3,2,1,6]=>[2,1,6,5,4,7,3]
[5,4,7,3,2,6,1]=>[2,1,5,4,7,6,3]
[5,4,7,3,6,1,2]=>[2,1,6,4,7,5,3]
[5,4,7,3,6,2,1]=>[2,1,4,7,6,5,3]
[5,4,7,6,1,2,3]=>[5,2,1,6,7,4,3]
[5,4,7,6,1,3,2]=>[2,1,7,5,6,4,3]
[5,4,7,6,2,1,3]=>[2,1,6,5,7,4,3]
[5,4,7,6,2,3,1]=>[2,1,5,7,6,4,3]
[5,4,7,6,3,1,2]=>[2,1,6,7,5,4,3]
[5,4,7,6,3,2,1]=>[1,7,2,6,5,4,3]
[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]
[5,6,1,2,3,7,4]=>[7,3,4,1,5,2,6]
[5,6,1,2,4,3,7]=>[6,3,4,1,5,2,7]
[5,6,1,2,4,7,3]=>[5,7,3,1,4,2,6]
[5,6,1,2,7,3,4]=>[6,7,3,1,4,2,5]
[5,6,1,2,7,4,3]=>[7,6,3,1,4,2,5]
[5,6,1,3,2,4,7]=>[5,3,4,1,6,2,7]
[5,6,1,3,2,7,4]=>[4,7,3,1,5,2,6]
[5,6,1,3,4,2,7]=>[4,6,3,1,5,2,7]
[5,6,1,3,4,7,2]=>[4,5,1,7,3,2,6]
[5,6,1,3,7,2,4]=>[4,6,1,7,3,2,5]
[5,6,1,3,7,4,2]=>[7,4,1,6,3,2,5]
[5,6,1,4,2,3,7]=>[5,6,3,1,4,2,7]
[5,6,1,4,2,7,3]=>[7,5,3,1,4,2,6]
[5,6,1,4,3,2,7]=>[6,5,3,1,4,2,7]
[5,6,1,4,3,7,2]=>[5,4,1,7,3,2,6]
[5,6,1,4,7,2,3]=>[6,4,1,7,3,2,5]
[5,6,1,4,7,3,2]=>[4,1,7,6,3,2,5]
[5,6,1,7,2,3,4]=>[5,6,1,7,3,2,4]
[5,6,1,7,2,4,3]=>[7,5,1,6,3,2,4]
[5,6,1,7,3,2,4]=>[6,5,1,7,3,2,4]
[5,6,1,7,3,4,2]=>[5,1,7,6,3,2,4]
[5,6,1,7,4,2,3]=>[6,1,7,5,3,2,4]
[5,6,1,7,4,3,2]=>[1,7,6,5,3,2,4]
[5,6,2,1,3,4,7]=>[4,3,5,1,6,2,7]
[5,6,2,1,3,7,4]=>[3,7,4,1,5,2,6]
[5,6,2,1,4,3,7]=>[3,6,4,1,5,2,7]
[5,6,2,1,4,7,3]=>[3,5,1,7,4,2,6]
[5,6,2,1,7,3,4]=>[3,6,1,7,4,2,5]
[5,6,2,1,7,4,3]=>[7,3,1,6,4,2,5]
[5,6,2,3,1,4,7]=>[3,5,4,1,6,2,7]
[5,6,2,3,1,7,4]=>[3,4,1,7,5,2,6]
[5,6,2,3,4,1,7]=>[3,4,1,6,5,2,7]
[5,6,2,3,4,7,1]=>[3,4,1,5,2,7,6]
[5,6,2,3,7,1,4]=>[3,4,1,6,2,7,5]
[5,6,2,3,7,4,1]=>[7,3,1,4,2,6,5]
[5,6,2,4,1,3,7]=>[3,5,1,6,4,2,7]
[5,6,2,4,1,7,3]=>[7,3,1,5,4,2,6]
[5,6,2,4,3,1,7]=>[6,3,1,5,4,2,7]
[5,6,2,4,3,7,1]=>[5,3,1,4,2,7,6]
[5,6,2,4,7,1,3]=>[6,3,1,4,2,7,5]
[5,6,2,4,7,3,1]=>[4,1,7,3,2,6,5]
[5,6,2,7,1,3,4]=>[3,5,1,6,2,7,4]
[5,6,2,7,1,4,3]=>[7,3,1,5,2,6,4]
[5,6,2,7,3,1,4]=>[6,3,1,5,2,7,4]
[5,6,2,7,3,4,1]=>[5,1,7,3,2,6,4]
[5,6,2,7,4,1,3]=>[6,1,7,3,2,5,4]
[5,6,2,7,4,3,1]=>[1,7,6,3,2,5,4]
[5,6,3,1,2,4,7]=>[4,5,3,1,6,2,7]
[5,6,3,1,2,7,4]=>[7,4,3,1,5,2,6]
[5,6,3,1,4,2,7]=>[6,4,3,1,5,2,7]
[5,6,3,1,4,7,2]=>[5,3,1,7,4,2,6]
[5,6,3,1,7,2,4]=>[6,3,1,7,4,2,5]
[5,6,3,1,7,4,2]=>[3,1,7,6,4,2,5]
[5,6,3,2,1,4,7]=>[5,4,3,1,6,2,7]
[5,6,3,2,1,7,4]=>[4,3,1,7,5,2,6]
[5,6,3,2,4,1,7]=>[4,3,1,6,5,2,7]
[5,6,3,2,4,7,1]=>[4,3,1,5,2,7,6]
[5,6,3,2,7,1,4]=>[4,3,1,6,2,7,5]
[5,6,3,2,7,4,1]=>[3,1,7,4,2,6,5]
[5,6,3,4,1,2,7]=>[5,3,1,6,4,2,7]
[5,6,3,4,1,7,2]=>[3,1,7,5,4,2,6]
[5,6,3,4,2,1,7]=>[3,1,6,5,4,2,7]
[5,6,3,4,2,7,1]=>[3,1,5,4,2,7,6]
[5,6,3,4,7,1,2]=>[3,1,6,4,2,7,5]
[5,6,3,4,7,2,1]=>[3,1,4,2,7,6,5]
[5,6,3,7,1,2,4]=>[5,3,1,6,2,7,4]
[5,6,3,7,1,4,2]=>[3,1,7,5,2,6,4]
[5,6,3,7,2,1,4]=>[3,1,6,5,2,7,4]
[5,6,3,7,2,4,1]=>[3,1,5,2,7,6,4]
[5,6,3,7,4,1,2]=>[3,1,6,2,7,5,4]
[5,6,3,7,4,2,1]=>[1,7,3,2,6,5,4]
[5,6,4,1,2,3,7]=>[4,5,1,6,3,2,7]
[5,6,4,1,2,7,3]=>[7,4,1,5,3,2,6]
[5,6,4,1,3,2,7]=>[6,4,1,5,3,2,7]
[5,6,4,1,3,7,2]=>[5,1,7,4,3,2,6]
[5,6,4,1,7,2,3]=>[6,1,7,4,3,2,5]
[5,6,4,1,7,3,2]=>[1,7,6,4,3,2,5]
[5,6,4,2,1,3,7]=>[5,4,1,6,3,2,7]
[5,6,4,2,1,7,3]=>[4,1,7,5,3,2,6]
[5,6,4,2,3,1,7]=>[4,1,6,5,3,2,7]
[5,6,4,2,3,7,1]=>[4,1,5,3,2,7,6]
[5,6,4,2,7,1,3]=>[4,1,6,3,2,7,5]
[5,6,4,2,7,3,1]=>[1,7,4,3,2,6,5]
[5,6,4,3,1,2,7]=>[5,1,6,4,3,2,7]
[5,6,4,3,1,7,2]=>[1,7,5,4,3,2,6]
[5,6,4,3,2,1,7]=>[1,6,5,4,3,2,7]
[5,6,4,3,2,7,1]=>[1,5,4,3,2,7,6]
[5,6,4,3,7,1,2]=>[1,6,4,3,2,7,5]
[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5]
[5,6,4,7,1,2,3]=>[5,1,6,3,2,7,4]
[5,6,4,7,1,3,2]=>[1,7,5,3,2,6,4]
[5,6,4,7,2,1,3]=>[1,6,5,3,2,7,4]
[5,6,4,7,2,3,1]=>[1,5,3,2,7,6,4]
[5,6,4,7,3,1,2]=>[1,6,3,2,7,5,4]
[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4]
[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]
[5,6,7,1,2,4,3]=>[7,4,1,5,2,6,3]
[5,6,7,1,3,2,4]=>[6,4,1,5,2,7,3]
[5,6,7,1,3,4,2]=>[5,1,7,4,2,6,3]
[5,6,7,1,4,2,3]=>[6,1,7,4,2,5,3]
[5,6,7,1,4,3,2]=>[1,7,6,4,2,5,3]
[5,6,7,2,1,3,4]=>[5,4,1,6,2,7,3]
[5,6,7,2,1,4,3]=>[4,1,7,5,2,6,3]
[5,6,7,2,3,1,4]=>[4,1,6,5,2,7,3]
[5,6,7,2,3,4,1]=>[4,1,5,2,7,6,3]
[5,6,7,2,4,1,3]=>[4,1,6,2,7,5,3]
[5,6,7,2,4,3,1]=>[1,7,4,2,6,5,3]
[5,6,7,3,1,2,4]=>[5,1,6,4,2,7,3]
[5,6,7,3,1,4,2]=>[1,7,5,4,2,6,3]
[5,6,7,3,2,1,4]=>[1,6,5,4,2,7,3]
[5,6,7,3,2,4,1]=>[1,5,4,2,7,6,3]
[5,6,7,3,4,1,2]=>[1,6,4,2,7,5,3]
[5,6,7,3,4,2,1]=>[1,4,2,7,6,5,3]
[5,6,7,4,1,2,3]=>[5,1,6,2,7,4,3]
[5,6,7,4,1,3,2]=>[1,7,5,2,6,4,3]
[5,6,7,4,2,1,3]=>[1,6,5,2,7,4,3]
[5,6,7,4,2,3,1]=>[1,5,2,7,6,4,3]
[5,6,7,4,3,1,2]=>[1,6,2,7,5,4,3]
[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3]
[5,7,1,2,3,4,6]=>[3,4,5,1,6,7,2]
[5,7,1,2,3,6,4]=>[7,3,4,1,5,6,2]
[5,7,1,2,4,3,6]=>[6,3,4,1,5,7,2]
[5,7,1,2,4,6,3]=>[5,7,3,1,4,6,2]
[5,7,1,2,6,3,4]=>[6,7,3,1,4,5,2]
[5,7,1,2,6,4,3]=>[7,6,3,1,4,5,2]
[5,7,1,3,2,4,6]=>[5,3,4,1,6,7,2]
[5,7,1,3,2,6,4]=>[4,7,3,1,5,6,2]
[5,7,1,3,4,2,6]=>[4,6,3,1,5,7,2]
[5,7,1,3,4,6,2]=>[4,5,1,7,3,6,2]
[5,7,1,3,6,2,4]=>[4,6,1,7,3,5,2]
[5,7,1,3,6,4,2]=>[7,4,1,6,3,5,2]
[5,7,1,4,2,3,6]=>[5,6,3,1,4,7,2]
[5,7,1,4,2,6,3]=>[7,5,3,1,4,6,2]
[5,7,1,4,3,2,6]=>[6,5,3,1,4,7,2]
[5,7,1,4,3,6,2]=>[5,4,1,7,3,6,2]
[5,7,1,4,6,2,3]=>[6,4,1,7,3,5,2]
[5,7,1,4,6,3,2]=>[4,1,7,6,3,5,2]
[5,7,1,6,2,3,4]=>[5,6,1,7,3,4,2]
[5,7,1,6,2,4,3]=>[7,5,1,6,3,4,2]
[5,7,1,6,3,2,4]=>[6,5,1,7,3,4,2]
[5,7,1,6,3,4,2]=>[5,1,7,6,3,4,2]
[5,7,1,6,4,2,3]=>[6,1,7,5,3,4,2]
[5,7,1,6,4,3,2]=>[1,7,6,5,3,4,2]
[5,7,2,1,3,4,6]=>[4,3,5,1,6,7,2]
[5,7,2,1,3,6,4]=>[3,7,4,1,5,6,2]
[5,7,2,1,4,3,6]=>[3,6,4,1,5,7,2]
[5,7,2,1,4,6,3]=>[3,5,1,7,4,6,2]
[5,7,2,1,6,3,4]=>[3,6,1,7,4,5,2]
[5,7,2,1,6,4,3]=>[7,3,1,6,4,5,2]
[5,7,2,3,1,4,6]=>[3,5,4,1,6,7,2]
[5,7,2,3,1,6,4]=>[3,4,1,7,5,6,2]
[5,7,2,3,4,1,6]=>[3,4,1,6,5,7,2]
[5,7,2,3,4,6,1]=>[3,4,1,5,7,6,2]
[5,7,2,3,6,1,4]=>[3,4,1,6,7,5,2]
[5,7,2,3,6,4,1]=>[7,3,1,4,6,5,2]
[5,7,2,4,1,3,6]=>[3,5,1,6,4,7,2]
[5,7,2,4,1,6,3]=>[7,3,1,5,4,6,2]
[5,7,2,4,3,1,6]=>[6,3,1,5,4,7,2]
[5,7,2,4,3,6,1]=>[5,3,1,4,7,6,2]
[5,7,2,4,6,1,3]=>[6,3,1,4,7,5,2]
[5,7,2,4,6,3,1]=>[4,1,7,3,6,5,2]
[5,7,2,6,1,3,4]=>[3,5,1,6,7,4,2]
[5,7,2,6,1,4,3]=>[7,3,1,5,6,4,2]
[5,7,2,6,3,1,4]=>[6,3,1,5,7,4,2]
[5,7,2,6,3,4,1]=>[5,1,7,3,6,4,2]
[5,7,2,6,4,1,3]=>[6,1,7,3,5,4,2]
[5,7,2,6,4,3,1]=>[1,7,6,3,5,4,2]
[5,7,3,1,2,4,6]=>[4,5,3,1,6,7,2]
[5,7,3,1,2,6,4]=>[7,4,3,1,5,6,2]
[5,7,3,1,4,2,6]=>[6,4,3,1,5,7,2]
[5,7,3,1,4,6,2]=>[5,3,1,7,4,6,2]
[5,7,3,1,6,2,4]=>[6,3,1,7,4,5,2]
[5,7,3,1,6,4,2]=>[3,1,7,6,4,5,2]
[5,7,3,2,1,4,6]=>[5,4,3,1,6,7,2]
[5,7,3,2,1,6,4]=>[4,3,1,7,5,6,2]
[5,7,3,2,4,1,6]=>[4,3,1,6,5,7,2]
[5,7,3,2,4,6,1]=>[4,3,1,5,7,6,2]
[5,7,3,2,6,1,4]=>[4,3,1,6,7,5,2]
[5,7,3,2,6,4,1]=>[3,1,7,4,6,5,2]
[5,7,3,4,1,2,6]=>[5,3,1,6,4,7,2]
[5,7,3,4,1,6,2]=>[3,1,7,5,4,6,2]
[5,7,3,4,2,1,6]=>[3,1,6,5,4,7,2]
[5,7,3,4,2,6,1]=>[3,1,5,4,7,6,2]
[5,7,3,4,6,1,2]=>[3,1,6,4,7,5,2]
[5,7,3,4,6,2,1]=>[3,1,4,7,6,5,2]
[5,7,3,6,1,2,4]=>[5,3,1,6,7,4,2]
[5,7,3,6,1,4,2]=>[3,1,7,5,6,4,2]
[5,7,3,6,2,1,4]=>[3,1,6,5,7,4,2]
[5,7,3,6,2,4,1]=>[3,1,5,7,6,4,2]
[5,7,3,6,4,1,2]=>[3,1,6,7,5,4,2]
[5,7,3,6,4,2,1]=>[1,7,3,6,5,4,2]
[5,7,4,1,2,3,6]=>[4,5,1,6,3,7,2]
[5,7,4,1,2,6,3]=>[7,4,1,5,3,6,2]
[5,7,4,1,3,2,6]=>[6,4,1,5,3,7,2]
[5,7,4,1,3,6,2]=>[5,1,7,4,3,6,2]
[5,7,4,1,6,2,3]=>[6,1,7,4,3,5,2]
[5,7,4,1,6,3,2]=>[1,7,6,4,3,5,2]
[5,7,4,2,1,3,6]=>[5,4,1,6,3,7,2]
[5,7,4,2,1,6,3]=>[4,1,7,5,3,6,2]
[5,7,4,2,3,1,6]=>[4,1,6,5,3,7,2]
[5,7,4,2,3,6,1]=>[4,1,5,3,7,6,2]
[5,7,4,2,6,1,3]=>[4,1,6,3,7,5,2]
[5,7,4,2,6,3,1]=>[1,7,4,3,6,5,2]
[5,7,4,3,1,2,6]=>[5,1,6,4,3,7,2]
[5,7,4,3,1,6,2]=>[1,7,5,4,3,6,2]
[5,7,4,3,2,1,6]=>[1,6,5,4,3,7,2]
[5,7,4,3,2,6,1]=>[1,5,4,3,7,6,2]
[5,7,4,3,6,1,2]=>[1,6,4,3,7,5,2]
[5,7,4,3,6,2,1]=>[1,4,3,7,6,5,2]
[5,7,4,6,1,2,3]=>[5,1,6,3,7,4,2]
[5,7,4,6,1,3,2]=>[1,7,5,3,6,4,2]
[5,7,4,6,2,1,3]=>[1,6,5,3,7,4,2]
[5,7,4,6,2,3,1]=>[1,5,3,7,6,4,2]
[5,7,4,6,3,1,2]=>[1,6,3,7,5,4,2]
[5,7,4,6,3,2,1]=>[1,3,7,6,5,4,2]
[5,7,6,1,2,3,4]=>[4,5,1,6,7,3,2]
[5,7,6,1,2,4,3]=>[7,4,1,5,6,3,2]
[5,7,6,1,3,2,4]=>[6,4,1,5,7,3,2]
[5,7,6,1,3,4,2]=>[5,1,7,4,6,3,2]
[5,7,6,1,4,2,3]=>[6,1,7,4,5,3,2]
[5,7,6,1,4,3,2]=>[1,7,6,4,5,3,2]
[5,7,6,2,1,3,4]=>[5,4,1,6,7,3,2]
[5,7,6,2,1,4,3]=>[4,1,7,5,6,3,2]
[5,7,6,2,3,1,4]=>[4,1,6,5,7,3,2]
[5,7,6,2,3,4,1]=>[4,1,5,7,6,3,2]
[5,7,6,2,4,1,3]=>[4,1,6,7,5,3,2]
[5,7,6,2,4,3,1]=>[1,7,4,6,5,3,2]
[5,7,6,3,1,2,4]=>[5,1,6,4,7,3,2]
[5,7,6,3,1,4,2]=>[1,7,5,4,6,3,2]
[5,7,6,3,2,1,4]=>[1,6,5,4,7,3,2]
[5,7,6,3,2,4,1]=>[1,5,4,7,6,3,2]
[5,7,6,3,4,1,2]=>[1,6,4,7,5,3,2]
[5,7,6,3,4,2,1]=>[1,4,7,6,5,3,2]
[5,7,6,4,1,2,3]=>[5,1,6,7,4,3,2]
[5,7,6,4,1,3,2]=>[1,7,5,6,4,3,2]
[5,7,6,4,2,1,3]=>[1,6,5,7,4,3,2]
[5,7,6,4,2,3,1]=>[1,5,7,6,4,3,2]
[5,7,6,4,3,1,2]=>[1,6,7,5,4,3,2]
[5,7,6,4,3,2,1]=>[7,1,6,5,4,3,2]
[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[6,1,2,3,4,7,5]=>[7,2,3,4,5,1,6]
[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]
[6,1,2,3,5,7,4]=>[5,7,2,3,4,1,6]
[6,1,2,3,7,4,5]=>[6,7,2,3,4,1,5]
[6,1,2,3,7,5,4]=>[7,6,2,3,4,1,5]
[6,1,2,4,3,5,7]=>[5,2,3,4,6,1,7]
[6,1,2,4,3,7,5]=>[4,7,2,3,5,1,6]
[6,1,2,4,5,3,7]=>[4,6,2,3,5,1,7]
[6,1,2,4,5,7,3]=>[4,5,7,2,3,1,6]
[6,1,2,4,7,3,5]=>[4,6,7,2,3,1,5]
[6,1,2,4,7,5,3]=>[7,4,6,2,3,1,5]
[6,1,2,5,3,4,7]=>[5,6,2,3,4,1,7]
[6,1,2,5,3,7,4]=>[7,5,2,3,4,1,6]
[6,1,2,5,4,3,7]=>[6,5,2,3,4,1,7]
[6,1,2,5,4,7,3]=>[5,4,7,2,3,1,6]
[6,1,2,5,7,3,4]=>[6,4,7,2,3,1,5]
[6,1,2,5,7,4,3]=>[4,7,6,2,3,1,5]
[6,1,2,7,3,4,5]=>[5,6,7,2,3,1,4]
[6,1,2,7,3,5,4]=>[7,5,6,2,3,1,4]
[6,1,2,7,4,3,5]=>[6,5,7,2,3,1,4]
[6,1,2,7,4,5,3]=>[5,7,6,2,3,1,4]
[6,1,2,7,5,3,4]=>[6,7,5,2,3,1,4]
[6,1,2,7,5,4,3]=>[7,6,5,2,3,1,4]
[6,1,3,2,4,5,7]=>[4,2,3,5,6,1,7]
[6,1,3,2,4,7,5]=>[3,7,2,4,5,1,6]
[6,1,3,2,5,4,7]=>[3,6,2,4,5,1,7]
[6,1,3,2,5,7,4]=>[3,5,7,2,4,1,6]
[6,1,3,2,7,4,5]=>[3,6,7,2,4,1,5]
[6,1,3,2,7,5,4]=>[7,3,6,2,4,1,5]
[6,1,3,4,2,5,7]=>[3,5,2,4,6,1,7]
[6,1,3,4,2,7,5]=>[3,4,7,2,5,1,6]
[6,1,3,4,5,2,7]=>[3,4,6,2,5,1,7]
[6,1,3,4,5,7,2]=>[3,4,5,7,2,1,6]
[6,1,3,4,7,2,5]=>[3,4,6,7,2,1,5]
[6,1,3,4,7,5,2]=>[7,3,4,6,2,1,5]
[6,1,3,5,2,4,7]=>[3,5,6,2,4,1,7]
[6,1,3,5,2,7,4]=>[7,3,5,2,4,1,6]
[6,1,3,5,4,2,7]=>[6,3,5,2,4,1,7]
[6,1,3,5,4,7,2]=>[5,3,4,7,2,1,6]
[6,1,3,5,7,2,4]=>[6,3,4,7,2,1,5]
[6,1,3,5,7,4,2]=>[4,7,3,6,2,1,5]
[6,1,3,7,2,4,5]=>[3,5,6,7,2,1,4]
[6,1,3,7,2,5,4]=>[7,3,5,6,2,1,4]
[6,1,3,7,4,2,5]=>[6,3,5,7,2,1,4]
[6,1,3,7,4,5,2]=>[5,7,3,6,2,1,4]
[6,1,3,7,5,2,4]=>[6,7,3,5,2,1,4]
[6,1,3,7,5,4,2]=>[7,6,3,5,2,1,4]
[6,1,4,2,3,5,7]=>[4,5,2,3,6,1,7]
[6,1,4,2,3,7,5]=>[7,4,2,3,5,1,6]
[6,1,4,2,5,3,7]=>[6,4,2,3,5,1,7]
[6,1,4,2,5,7,3]=>[5,3,7,2,4,1,6]
[6,1,4,2,7,3,5]=>[6,3,7,2,4,1,5]
[6,1,4,2,7,5,3]=>[3,7,6,2,4,1,5]
[6,1,4,3,2,5,7]=>[5,4,2,3,6,1,7]
[6,1,4,3,2,7,5]=>[4,3,7,2,5,1,6]
[6,1,4,3,5,2,7]=>[4,3,6,2,5,1,7]
[6,1,4,3,5,7,2]=>[4,3,5,7,2,1,6]
[6,1,4,3,7,2,5]=>[4,3,6,7,2,1,5]
[6,1,4,3,7,5,2]=>[3,7,4,6,2,1,5]
[6,1,4,5,2,3,7]=>[5,3,6,2,4,1,7]
[6,1,4,5,2,7,3]=>[3,7,5,2,4,1,6]
[6,1,4,5,3,2,7]=>[3,6,5,2,4,1,7]
[6,1,4,5,3,7,2]=>[3,5,4,7,2,1,6]
[6,1,4,5,7,2,3]=>[3,6,4,7,2,1,5]
[6,1,4,5,7,3,2]=>[3,4,7,6,2,1,5]
[6,1,4,7,2,3,5]=>[5,3,6,7,2,1,4]
[6,1,4,7,2,5,3]=>[3,7,5,6,2,1,4]
[6,1,4,7,3,2,5]=>[3,6,5,7,2,1,4]
[6,1,4,7,3,5,2]=>[3,5,7,6,2,1,4]
[6,1,4,7,5,2,3]=>[3,6,7,5,2,1,4]
[6,1,4,7,5,3,2]=>[7,3,6,5,2,1,4]
[6,1,5,2,3,4,7]=>[4,5,6,2,3,1,7]
[6,1,5,2,3,7,4]=>[7,4,5,2,3,1,6]
[6,1,5,2,4,3,7]=>[6,4,5,2,3,1,7]
[6,1,5,2,4,7,3]=>[5,7,4,2,3,1,6]
[6,1,5,2,7,3,4]=>[6,7,4,2,3,1,5]
[6,1,5,2,7,4,3]=>[7,6,4,2,3,1,5]
[6,1,5,3,2,4,7]=>[5,4,6,2,3,1,7]
[6,1,5,3,2,7,4]=>[4,7,5,2,3,1,6]
[6,1,5,3,4,2,7]=>[4,6,5,2,3,1,7]
[6,1,5,3,4,7,2]=>[4,5,3,7,2,1,6]
[6,1,5,3,7,2,4]=>[4,6,3,7,2,1,5]
[6,1,5,3,7,4,2]=>[7,4,3,6,2,1,5]
[6,1,5,4,2,3,7]=>[5,6,4,2,3,1,7]
[6,1,5,4,2,7,3]=>[7,5,4,2,3,1,6]
[6,1,5,4,3,2,7]=>[6,5,4,2,3,1,7]
[6,1,5,4,3,7,2]=>[5,4,3,7,2,1,6]
[6,1,5,4,7,2,3]=>[6,4,3,7,2,1,5]
[6,1,5,4,7,3,2]=>[4,3,7,6,2,1,5]
[6,1,5,7,2,3,4]=>[5,6,3,7,2,1,4]
[6,1,5,7,2,4,3]=>[7,5,3,6,2,1,4]
[6,1,5,7,3,2,4]=>[6,5,3,7,2,1,4]
[6,1,5,7,3,4,2]=>[5,3,7,6,2,1,4]
[6,1,5,7,4,2,3]=>[6,3,7,5,2,1,4]
[6,1,5,7,4,3,2]=>[3,7,6,5,2,1,4]
[6,1,7,2,3,4,5]=>[4,5,6,7,2,1,3]
[6,1,7,2,3,5,4]=>[7,4,5,6,2,1,3]
[6,1,7,2,4,3,5]=>[6,4,5,7,2,1,3]
[6,1,7,2,4,5,3]=>[5,7,4,6,2,1,3]
[6,1,7,2,5,3,4]=>[6,7,4,5,2,1,3]
[6,1,7,2,5,4,3]=>[7,6,4,5,2,1,3]
[6,1,7,3,2,4,5]=>[5,4,6,7,2,1,3]
[6,1,7,3,2,5,4]=>[4,7,5,6,2,1,3]
[6,1,7,3,4,2,5]=>[4,6,5,7,2,1,3]
[6,1,7,3,4,5,2]=>[4,5,7,6,2,1,3]
[6,1,7,3,5,2,4]=>[4,6,7,5,2,1,3]
[6,1,7,3,5,4,2]=>[7,4,6,5,2,1,3]
[6,1,7,4,2,3,5]=>[5,6,4,7,2,1,3]
[6,1,7,4,2,5,3]=>[7,5,4,6,2,1,3]
[6,1,7,4,3,2,5]=>[6,5,4,7,2,1,3]
[6,1,7,4,3,5,2]=>[5,4,7,6,2,1,3]
[6,1,7,4,5,2,3]=>[6,4,7,5,2,1,3]
[6,1,7,4,5,3,2]=>[4,7,6,5,2,1,3]
[6,1,7,5,2,3,4]=>[5,6,7,4,2,1,3]
[6,1,7,5,2,4,3]=>[7,5,6,4,2,1,3]
[6,1,7,5,3,2,4]=>[6,5,7,4,2,1,3]
[6,1,7,5,3,4,2]=>[5,7,6,4,2,1,3]
[6,1,7,5,4,2,3]=>[6,7,5,4,2,1,3]
[6,1,7,5,4,3,2]=>[7,6,5,4,2,1,3]
[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]
[6,2,1,3,4,7,5]=>[2,7,3,4,5,1,6]
[6,2,1,3,5,4,7]=>[2,6,3,4,5,1,7]
[6,2,1,3,5,7,4]=>[2,5,7,3,4,1,6]
[6,2,1,3,7,4,5]=>[2,6,7,3,4,1,5]
[6,2,1,3,7,5,4]=>[7,2,6,3,4,1,5]
[6,2,1,4,3,5,7]=>[2,5,3,4,6,1,7]
[6,2,1,4,3,7,5]=>[2,4,7,3,5,1,6]
[6,2,1,4,5,3,7]=>[2,4,6,3,5,1,7]
[6,2,1,4,5,7,3]=>[2,4,5,7,3,1,6]
[6,2,1,4,7,3,5]=>[2,4,6,7,3,1,5]
[6,2,1,4,7,5,3]=>[7,2,4,6,3,1,5]
[6,2,1,5,3,4,7]=>[2,5,6,3,4,1,7]
[6,2,1,5,3,7,4]=>[7,2,5,3,4,1,6]
[6,2,1,5,4,3,7]=>[6,2,5,3,4,1,7]
[6,2,1,5,4,7,3]=>[5,2,4,7,3,1,6]
[6,2,1,5,7,3,4]=>[6,2,4,7,3,1,5]
[6,2,1,5,7,4,3]=>[4,7,2,6,3,1,5]
[6,2,1,7,3,4,5]=>[2,5,6,7,3,1,4]
[6,2,1,7,3,5,4]=>[7,2,5,6,3,1,4]
[6,2,1,7,4,3,5]=>[6,2,5,7,3,1,4]
[6,2,1,7,4,5,3]=>[5,7,2,6,3,1,4]
[6,2,1,7,5,3,4]=>[6,7,2,5,3,1,4]
[6,2,1,7,5,4,3]=>[7,6,2,5,3,1,4]
[6,2,3,1,4,5,7]=>[2,4,3,5,6,1,7]
[6,2,3,1,4,7,5]=>[2,3,7,4,5,1,6]
[6,2,3,1,5,4,7]=>[2,3,6,4,5,1,7]
[6,2,3,1,5,7,4]=>[2,3,5,7,4,1,6]
[6,2,3,1,7,4,5]=>[2,3,6,7,4,1,5]
[6,2,3,1,7,5,4]=>[7,2,3,6,4,1,5]
[6,2,3,4,1,5,7]=>[2,3,5,4,6,1,7]
[6,2,3,4,1,7,5]=>[2,3,4,7,5,1,6]
[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]
[6,2,3,4,5,7,1]=>[2,3,4,5,1,7,6]
[6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]
[6,2,3,4,7,5,1]=>[7,2,3,4,1,6,5]
[6,2,3,5,1,4,7]=>[2,3,5,6,4,1,7]
[6,2,3,5,1,7,4]=>[7,2,3,5,4,1,6]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]
[6,2,3,5,4,7,1]=>[5,2,3,4,1,7,6]
[6,2,3,5,7,1,4]=>[6,2,3,4,1,7,5]
[6,2,3,5,7,4,1]=>[4,7,2,3,1,6,5]
[6,2,3,7,1,4,5]=>[2,3,5,6,1,7,4]
[6,2,3,7,1,5,4]=>[7,2,3,5,1,6,4]
[6,2,3,7,4,1,5]=>[6,2,3,5,1,7,4]
[6,2,3,7,4,5,1]=>[5,7,2,3,1,6,4]
[6,2,3,7,5,1,4]=>[6,7,2,3,1,5,4]
[6,2,3,7,5,4,1]=>[7,6,2,3,1,5,4]
[6,2,4,1,3,5,7]=>[2,4,5,3,6,1,7]
[6,2,4,1,3,7,5]=>[7,2,4,3,5,1,6]
[6,2,4,1,5,3,7]=>[6,2,4,3,5,1,7]
[6,2,4,1,5,7,3]=>[5,2,3,7,4,1,6]
[6,2,4,1,7,3,5]=>[6,2,3,7,4,1,5]
[6,2,4,1,7,5,3]=>[3,7,2,6,4,1,5]
[6,2,4,3,1,5,7]=>[5,2,4,3,6,1,7]
[6,2,4,3,1,7,5]=>[4,2,3,7,5,1,6]
[6,2,4,3,5,1,7]=>[4,2,3,6,5,1,7]
[6,2,4,3,5,7,1]=>[4,2,3,5,1,7,6]
[6,2,4,3,7,1,5]=>[4,2,3,6,1,7,5]
[6,2,4,3,7,5,1]=>[3,7,2,4,1,6,5]
[6,2,4,5,1,3,7]=>[5,2,3,6,4,1,7]
[6,2,4,5,1,7,3]=>[3,7,2,5,4,1,6]
[6,2,4,5,3,1,7]=>[3,6,2,5,4,1,7]
[6,2,4,5,3,7,1]=>[3,5,2,4,1,7,6]
[6,2,4,5,7,1,3]=>[3,6,2,4,1,7,5]
[6,2,4,5,7,3,1]=>[3,4,7,2,1,6,5]
[6,2,4,7,1,3,5]=>[5,2,3,6,1,7,4]
[6,2,4,7,1,5,3]=>[3,7,2,5,1,6,4]
[6,2,4,7,3,1,5]=>[3,6,2,5,1,7,4]
[6,2,4,7,3,5,1]=>[3,5,7,2,1,6,4]
[6,2,4,7,5,1,3]=>[3,6,7,2,1,5,4]
[6,2,4,7,5,3,1]=>[7,3,6,2,1,5,4]
[6,2,5,1,3,4,7]=>[2,4,5,6,3,1,7]
[6,2,5,1,3,7,4]=>[7,2,4,5,3,1,6]
[6,2,5,1,4,3,7]=>[6,2,4,5,3,1,7]
[6,2,5,1,4,7,3]=>[5,7,2,4,3,1,6]
[6,2,5,1,7,3,4]=>[6,7,2,4,3,1,5]
[6,2,5,1,7,4,3]=>[7,6,2,4,3,1,5]
[6,2,5,3,1,4,7]=>[5,2,4,6,3,1,7]
[6,2,5,3,1,7,4]=>[4,7,2,5,3,1,6]
[6,2,5,3,4,1,7]=>[4,6,2,5,3,1,7]
[6,2,5,3,4,7,1]=>[4,5,2,3,1,7,6]
[6,2,5,3,7,1,4]=>[4,6,2,3,1,7,5]
[6,2,5,3,7,4,1]=>[7,4,2,3,1,6,5]
[6,2,5,4,1,3,7]=>[5,6,2,4,3,1,7]
[6,2,5,4,1,7,3]=>[7,5,2,4,3,1,6]
[6,2,5,4,3,1,7]=>[6,5,2,4,3,1,7]
[6,2,5,4,3,7,1]=>[5,4,2,3,1,7,6]
[6,2,5,4,7,1,3]=>[6,4,2,3,1,7,5]
[6,2,5,4,7,3,1]=>[4,3,7,2,1,6,5]
[6,2,5,7,1,3,4]=>[5,6,2,3,1,7,4]
[6,2,5,7,1,4,3]=>[7,5,2,3,1,6,4]
[6,2,5,7,3,1,4]=>[6,5,2,3,1,7,4]
[6,2,5,7,3,4,1]=>[5,3,7,2,1,6,4]
[6,2,5,7,4,1,3]=>[6,3,7,2,1,5,4]
[6,2,5,7,4,3,1]=>[3,7,6,2,1,5,4]
[6,2,7,1,3,4,5]=>[2,4,5,6,1,7,3]
[6,2,7,1,3,5,4]=>[7,2,4,5,1,6,3]
[6,2,7,1,4,3,5]=>[6,2,4,5,1,7,3]
[6,2,7,1,4,5,3]=>[5,7,2,4,1,6,3]
[6,2,7,1,5,3,4]=>[6,7,2,4,1,5,3]
[6,2,7,1,5,4,3]=>[7,6,2,4,1,5,3]
[6,2,7,3,1,4,5]=>[5,2,4,6,1,7,3]
[6,2,7,3,1,5,4]=>[4,7,2,5,1,6,3]
[6,2,7,3,4,1,5]=>[4,6,2,5,1,7,3]
[6,2,7,3,4,5,1]=>[4,5,7,2,1,6,3]
[6,2,7,3,5,1,4]=>[4,6,7,2,1,5,3]
[6,2,7,3,5,4,1]=>[7,4,6,2,1,5,3]
[6,2,7,4,1,3,5]=>[5,6,2,4,1,7,3]
[6,2,7,4,1,5,3]=>[7,5,2,4,1,6,3]
[6,2,7,4,3,1,5]=>[6,5,2,4,1,7,3]
[6,2,7,4,3,5,1]=>[5,4,7,2,1,6,3]
[6,2,7,4,5,1,3]=>[6,4,7,2,1,5,3]
[6,2,7,4,5,3,1]=>[4,7,6,2,1,5,3]
[6,2,7,5,1,3,4]=>[5,6,7,2,1,4,3]
[6,2,7,5,1,4,3]=>[7,5,6,2,1,4,3]
[6,2,7,5,3,1,4]=>[6,5,7,2,1,4,3]
[6,2,7,5,3,4,1]=>[5,7,6,2,1,4,3]
[6,2,7,5,4,1,3]=>[6,7,5,2,1,4,3]
[6,2,7,5,4,3,1]=>[7,6,5,2,1,4,3]
[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]
[6,3,1,2,4,7,5]=>[7,3,2,4,5,1,6]
[6,3,1,2,5,4,7]=>[6,3,2,4,5,1,7]
[6,3,1,2,5,7,4]=>[5,2,7,3,4,1,6]
[6,3,1,2,7,4,5]=>[6,2,7,3,4,1,5]
[6,3,1,2,7,5,4]=>[2,7,6,3,4,1,5]
[6,3,1,4,2,5,7]=>[5,3,2,4,6,1,7]
[6,3,1,4,2,7,5]=>[4,2,7,3,5,1,6]
[6,3,1,4,5,2,7]=>[4,2,6,3,5,1,7]
[6,3,1,4,5,7,2]=>[4,2,5,7,3,1,6]
[6,3,1,4,7,2,5]=>[4,2,6,7,3,1,5]
[6,3,1,4,7,5,2]=>[2,7,4,6,3,1,5]
[6,3,1,5,2,4,7]=>[5,2,6,3,4,1,7]
[6,3,1,5,2,7,4]=>[2,7,5,3,4,1,6]
[6,3,1,5,4,2,7]=>[2,6,5,3,4,1,7]
[6,3,1,5,4,7,2]=>[2,5,4,7,3,1,6]
[6,3,1,5,7,2,4]=>[2,6,4,7,3,1,5]
[6,3,1,5,7,4,2]=>[2,4,7,6,3,1,5]
[6,3,1,7,2,4,5]=>[5,2,6,7,3,1,4]
[6,3,1,7,2,5,4]=>[2,7,5,6,3,1,4]
[6,3,1,7,4,2,5]=>[2,6,5,7,3,1,4]
[6,3,1,7,4,5,2]=>[2,5,7,6,3,1,4]
[6,3,1,7,5,2,4]=>[2,6,7,5,3,1,4]
[6,3,1,7,5,4,2]=>[7,2,6,5,3,1,4]
[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]
[6,3,2,1,4,7,5]=>[3,2,7,4,5,1,6]
[6,3,2,1,5,4,7]=>[3,2,6,4,5,1,7]
[6,3,2,1,5,7,4]=>[3,2,5,7,4,1,6]
[6,3,2,1,7,4,5]=>[3,2,6,7,4,1,5]
[6,3,2,1,7,5,4]=>[2,7,3,6,4,1,5]
[6,3,2,4,1,5,7]=>[3,2,5,4,6,1,7]
[6,3,2,4,1,7,5]=>[3,2,4,7,5,1,6]
[6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]
[6,3,2,4,5,7,1]=>[3,2,4,5,1,7,6]
[6,3,2,4,7,1,5]=>[3,2,4,6,1,7,5]
[6,3,2,4,7,5,1]=>[2,7,3,4,1,6,5]
[6,3,2,5,1,4,7]=>[3,2,5,6,4,1,7]
[6,3,2,5,1,7,4]=>[2,7,3,5,4,1,6]
[6,3,2,5,4,1,7]=>[2,6,3,5,4,1,7]
[6,3,2,5,4,7,1]=>[2,5,3,4,1,7,6]
[6,3,2,5,7,1,4]=>[2,6,3,4,1,7,5]
[6,3,2,5,7,4,1]=>[2,4,7,3,1,6,5]
[6,3,2,7,1,4,5]=>[3,2,5,6,1,7,4]
[6,3,2,7,1,5,4]=>[2,7,3,5,1,6,4]
[6,3,2,7,4,1,5]=>[2,6,3,5,1,7,4]
[6,3,2,7,4,5,1]=>[2,5,7,3,1,6,4]
[6,3,2,7,5,1,4]=>[2,6,7,3,1,5,4]
[6,3,2,7,5,4,1]=>[7,2,6,3,1,5,4]
[6,3,4,1,2,5,7]=>[4,2,5,3,6,1,7]
[6,3,4,1,2,7,5]=>[2,7,4,3,5,1,6]
[6,3,4,1,5,2,7]=>[2,6,4,3,5,1,7]
[6,3,4,1,5,7,2]=>[2,5,3,7,4,1,6]
[6,3,4,1,7,2,5]=>[2,6,3,7,4,1,5]
[6,3,4,1,7,5,2]=>[2,3,7,6,4,1,5]
[6,3,4,2,1,5,7]=>[2,5,4,3,6,1,7]
[6,3,4,2,1,7,5]=>[2,4,3,7,5,1,6]
[6,3,4,2,5,1,7]=>[2,4,3,6,5,1,7]
[6,3,4,2,5,7,1]=>[2,4,3,5,1,7,6]
[6,3,4,2,7,1,5]=>[2,4,3,6,1,7,5]
[6,3,4,2,7,5,1]=>[2,3,7,4,1,6,5]
[6,3,4,5,1,2,7]=>[2,5,3,6,4,1,7]
[6,3,4,5,1,7,2]=>[2,3,7,5,4,1,6]
[6,3,4,5,2,1,7]=>[2,3,6,5,4,1,7]
[6,3,4,5,2,7,1]=>[2,3,5,4,1,7,6]
[6,3,4,5,7,1,2]=>[2,3,6,4,1,7,5]
[6,3,4,5,7,2,1]=>[2,3,4,1,7,6,5]
[6,3,4,7,1,2,5]=>[2,5,3,6,1,7,4]
[6,3,4,7,1,5,2]=>[2,3,7,5,1,6,4]
[6,3,4,7,2,1,5]=>[2,3,6,5,1,7,4]
[6,3,4,7,2,5,1]=>[2,3,5,1,7,6,4]
[6,3,4,7,5,1,2]=>[2,3,6,1,7,5,4]
[6,3,4,7,5,2,1]=>[7,2,3,1,6,5,4]
[6,3,5,1,2,4,7]=>[4,2,5,6,3,1,7]
[6,3,5,1,2,7,4]=>[2,7,4,5,3,1,6]
[6,3,5,1,4,2,7]=>[2,6,4,5,3,1,7]
[6,3,5,1,4,7,2]=>[2,5,7,4,3,1,6]
[6,3,5,1,7,2,4]=>[2,6,7,4,3,1,5]
[6,3,5,1,7,4,2]=>[7,2,6,4,3,1,5]
[6,3,5,2,1,4,7]=>[2,5,4,6,3,1,7]
[6,3,5,2,1,7,4]=>[2,4,7,5,3,1,6]
[6,3,5,2,4,1,7]=>[2,4,6,5,3,1,7]
[6,3,5,2,4,7,1]=>[2,4,5,3,1,7,6]
[6,3,5,2,7,1,4]=>[2,4,6,3,1,7,5]
[6,3,5,2,7,4,1]=>[7,2,4,3,1,6,5]
[6,3,5,4,1,2,7]=>[2,5,6,4,3,1,7]
[6,3,5,4,1,7,2]=>[7,2,5,4,3,1,6]
[6,3,5,4,2,1,7]=>[6,2,5,4,3,1,7]
[6,3,5,4,2,7,1]=>[5,2,4,3,1,7,6]
[6,3,5,4,7,1,2]=>[6,2,4,3,1,7,5]
[6,3,5,4,7,2,1]=>[4,2,3,1,7,6,5]
[6,3,5,7,1,2,4]=>[2,5,6,3,1,7,4]
[6,3,5,7,1,4,2]=>[7,2,5,3,1,6,4]
[6,3,5,7,2,1,4]=>[6,2,5,3,1,7,4]
[6,3,5,7,2,4,1]=>[5,2,3,1,7,6,4]
[6,3,5,7,4,1,2]=>[6,2,3,1,7,5,4]
[6,3,5,7,4,2,1]=>[3,7,2,1,6,5,4]
[6,3,7,1,2,4,5]=>[4,2,5,6,1,7,3]
[6,3,7,1,2,5,4]=>[2,7,4,5,1,6,3]
[6,3,7,1,4,2,5]=>[2,6,4,5,1,7,3]
[6,3,7,1,4,5,2]=>[2,5,7,4,1,6,3]
[6,3,7,1,5,2,4]=>[2,6,7,4,1,5,3]
[6,3,7,1,5,4,2]=>[7,2,6,4,1,5,3]
[6,3,7,2,1,4,5]=>[2,5,4,6,1,7,3]
[6,3,7,2,1,5,4]=>[2,4,7,5,1,6,3]
[6,3,7,2,4,1,5]=>[2,4,6,5,1,7,3]
[6,3,7,2,4,5,1]=>[2,4,5,1,7,6,3]
[6,3,7,2,5,1,4]=>[2,4,6,1,7,5,3]
[6,3,7,2,5,4,1]=>[7,2,4,1,6,5,3]
[6,3,7,4,1,2,5]=>[2,5,6,4,1,7,3]
[6,3,7,4,1,5,2]=>[7,2,5,4,1,6,3]
[6,3,7,4,2,1,5]=>[6,2,5,4,1,7,3]
[6,3,7,4,2,5,1]=>[5,2,4,1,7,6,3]
[6,3,7,4,5,1,2]=>[6,2,4,1,7,5,3]
[6,3,7,4,5,2,1]=>[4,7,2,1,6,5,3]
[6,3,7,5,1,2,4]=>[2,5,6,1,7,4,3]
[6,3,7,5,1,4,2]=>[7,2,5,1,6,4,3]
[6,3,7,5,2,1,4]=>[6,2,5,1,7,4,3]
[6,3,7,5,2,4,1]=>[5,7,2,1,6,4,3]
[6,3,7,5,4,1,2]=>[6,7,2,1,5,4,3]
[6,3,7,5,4,2,1]=>[7,6,2,1,5,4,3]
[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]
[6,4,1,2,3,7,5]=>[7,3,4,2,5,1,6]
[6,4,1,2,5,3,7]=>[6,3,4,2,5,1,7]
[6,4,1,2,5,7,3]=>[5,7,3,2,4,1,6]
[6,4,1,2,7,3,5]=>[6,7,3,2,4,1,5]
[6,4,1,2,7,5,3]=>[7,6,3,2,4,1,5]
[6,4,1,3,2,5,7]=>[5,3,4,2,6,1,7]
[6,4,1,3,2,7,5]=>[4,7,3,2,5,1,6]
[6,4,1,3,5,2,7]=>[4,6,3,2,5,1,7]
[6,4,1,3,5,7,2]=>[4,5,2,7,3,1,6]
[6,4,1,3,7,2,5]=>[4,6,2,7,3,1,5]
[6,4,1,3,7,5,2]=>[7,4,2,6,3,1,5]
[6,4,1,5,2,3,7]=>[5,6,3,2,4,1,7]
[6,4,1,5,2,7,3]=>[7,5,3,2,4,1,6]
[6,4,1,5,3,2,7]=>[6,5,3,2,4,1,7]
[6,4,1,5,3,7,2]=>[5,4,2,7,3,1,6]
[6,4,1,5,7,2,3]=>[6,4,2,7,3,1,5]
[6,4,1,5,7,3,2]=>[4,2,7,6,3,1,5]
[6,4,1,7,2,3,5]=>[5,6,2,7,3,1,4]
[6,4,1,7,2,5,3]=>[7,5,2,6,3,1,4]
[6,4,1,7,3,2,5]=>[6,5,2,7,3,1,4]
[6,4,1,7,3,5,2]=>[5,2,7,6,3,1,4]
[6,4,1,7,5,2,3]=>[6,2,7,5,3,1,4]
[6,4,1,7,5,3,2]=>[2,7,6,5,3,1,4]
[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]
[6,4,2,1,3,7,5]=>[3,7,4,2,5,1,6]
[6,4,2,1,5,3,7]=>[3,6,4,2,5,1,7]
[6,4,2,1,5,7,3]=>[3,5,2,7,4,1,6]
[6,4,2,1,7,3,5]=>[3,6,2,7,4,1,5]
[6,4,2,1,7,5,3]=>[7,3,2,6,4,1,5]
[6,4,2,3,1,5,7]=>[3,5,4,2,6,1,7]
[6,4,2,3,1,7,5]=>[3,4,2,7,5,1,6]
[6,4,2,3,5,1,7]=>[3,4,2,6,5,1,7]
[6,4,2,3,5,7,1]=>[3,4,2,5,1,7,6]
[6,4,2,3,7,1,5]=>[3,4,2,6,1,7,5]
[6,4,2,3,7,5,1]=>[7,3,2,4,1,6,5]
[6,4,2,5,1,3,7]=>[3,5,2,6,4,1,7]
[6,4,2,5,1,7,3]=>[7,3,2,5,4,1,6]
[6,4,2,5,3,1,7]=>[6,3,2,5,4,1,7]
[6,4,2,5,3,7,1]=>[5,3,2,4,1,7,6]
[6,4,2,5,7,1,3]=>[6,3,2,4,1,7,5]
[6,4,2,5,7,3,1]=>[4,2,7,3,1,6,5]
[6,4,2,7,1,3,5]=>[3,5,2,6,1,7,4]
[6,4,2,7,1,5,3]=>[7,3,2,5,1,6,4]
[6,4,2,7,3,1,5]=>[6,3,2,5,1,7,4]
[6,4,2,7,3,5,1]=>[5,2,7,3,1,6,4]
[6,4,2,7,5,1,3]=>[6,2,7,3,1,5,4]
[6,4,2,7,5,3,1]=>[2,7,6,3,1,5,4]
[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]
[6,4,3,1,2,7,5]=>[7,4,3,2,5,1,6]
[6,4,3,1,5,2,7]=>[6,4,3,2,5,1,7]
[6,4,3,1,5,7,2]=>[5,3,2,7,4,1,6]
[6,4,3,1,7,2,5]=>[6,3,2,7,4,1,5]
[6,4,3,1,7,5,2]=>[3,2,7,6,4,1,5]
[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]
[6,4,3,2,1,7,5]=>[4,3,2,7,5,1,6]
[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]
[6,4,3,2,5,7,1]=>[4,3,2,5,1,7,6]
[6,4,3,2,7,1,5]=>[4,3,2,6,1,7,5]
[6,4,3,2,7,5,1]=>[3,2,7,4,1,6,5]
[6,4,3,5,1,2,7]=>[5,3,2,6,4,1,7]
[6,4,3,5,1,7,2]=>[3,2,7,5,4,1,6]
[6,4,3,5,2,1,7]=>[3,2,6,5,4,1,7]
[6,4,3,5,2,7,1]=>[3,2,5,4,1,7,6]
[6,4,3,5,7,1,2]=>[3,2,6,4,1,7,5]
[6,4,3,5,7,2,1]=>[3,2,4,1,7,6,5]
[6,4,3,7,1,2,5]=>[5,3,2,6,1,7,4]
[6,4,3,7,1,5,2]=>[3,2,7,5,1,6,4]
[6,4,3,7,2,1,5]=>[3,2,6,5,1,7,4]
[6,4,3,7,2,5,1]=>[3,2,5,1,7,6,4]
[6,4,3,7,5,1,2]=>[3,2,6,1,7,5,4]
[6,4,3,7,5,2,1]=>[2,7,3,1,6,5,4]
[6,4,5,1,2,3,7]=>[4,5,2,6,3,1,7]
[6,4,5,1,2,7,3]=>[7,4,2,5,3,1,6]
[6,4,5,1,3,2,7]=>[6,4,2,5,3,1,7]
[6,4,5,1,3,7,2]=>[5,2,7,4,3,1,6]
[6,4,5,1,7,2,3]=>[6,2,7,4,3,1,5]
[6,4,5,1,7,3,2]=>[2,7,6,4,3,1,5]
[6,4,5,2,1,3,7]=>[5,4,2,6,3,1,7]
[6,4,5,2,1,7,3]=>[4,2,7,5,3,1,6]
[6,4,5,2,3,1,7]=>[4,2,6,5,3,1,7]
[6,4,5,2,3,7,1]=>[4,2,5,3,1,7,6]
[6,4,5,2,7,1,3]=>[4,2,6,3,1,7,5]
[6,4,5,2,7,3,1]=>[2,7,4,3,1,6,5]
[6,4,5,3,1,2,7]=>[5,2,6,4,3,1,7]
[6,4,5,3,1,7,2]=>[2,7,5,4,3,1,6]
[6,4,5,3,2,1,7]=>[2,6,5,4,3,1,7]
[6,4,5,3,2,7,1]=>[2,5,4,3,1,7,6]
[6,4,5,3,7,1,2]=>[2,6,4,3,1,7,5]
[6,4,5,3,7,2,1]=>[2,4,3,1,7,6,5]
[6,4,5,7,1,2,3]=>[5,2,6,3,1,7,4]
[6,4,5,7,1,3,2]=>[2,7,5,3,1,6,4]
[6,4,5,7,2,1,3]=>[2,6,5,3,1,7,4]
[6,4,5,7,2,3,1]=>[2,5,3,1,7,6,4]
[6,4,5,7,3,1,2]=>[2,6,3,1,7,5,4]
[6,4,5,7,3,2,1]=>[2,3,1,7,6,5,4]
[6,4,7,1,2,3,5]=>[4,5,2,6,1,7,3]
[6,4,7,1,2,5,3]=>[7,4,2,5,1,6,3]
[6,4,7,1,3,2,5]=>[6,4,2,5,1,7,3]
[6,4,7,1,3,5,2]=>[5,2,7,4,1,6,3]
[6,4,7,1,5,2,3]=>[6,2,7,4,1,5,3]
[6,4,7,1,5,3,2]=>[2,7,6,4,1,5,3]
[6,4,7,2,1,3,5]=>[5,4,2,6,1,7,3]
[6,4,7,2,1,5,3]=>[4,2,7,5,1,6,3]
[6,4,7,2,3,1,5]=>[4,2,6,5,1,7,3]
[6,4,7,2,3,5,1]=>[4,2,5,1,7,6,3]
[6,4,7,2,5,1,3]=>[4,2,6,1,7,5,3]
[6,4,7,2,5,3,1]=>[2,7,4,1,6,5,3]
[6,4,7,3,1,2,5]=>[5,2,6,4,1,7,3]
[6,4,7,3,1,5,2]=>[2,7,5,4,1,6,3]
[6,4,7,3,2,1,5]=>[2,6,5,4,1,7,3]
[6,4,7,3,2,5,1]=>[2,5,4,1,7,6,3]
[6,4,7,3,5,1,2]=>[2,6,4,1,7,5,3]
[6,4,7,3,5,2,1]=>[2,4,1,7,6,5,3]
[6,4,7,5,1,2,3]=>[5,2,6,1,7,4,3]
[6,4,7,5,1,3,2]=>[2,7,5,1,6,4,3]
[6,4,7,5,2,1,3]=>[2,6,5,1,7,4,3]
[6,4,7,5,2,3,1]=>[2,5,1,7,6,4,3]
[6,4,7,5,3,1,2]=>[2,6,1,7,5,4,3]
[6,4,7,5,3,2,1]=>[7,2,1,6,5,4,3]
[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]
[6,5,1,2,3,7,4]=>[7,3,4,5,2,1,6]
[6,5,1,2,4,3,7]=>[6,3,4,5,2,1,7]
[6,5,1,2,4,7,3]=>[5,7,3,4,2,1,6]
[6,5,1,2,7,3,4]=>[6,7,3,4,2,1,5]
[6,5,1,2,7,4,3]=>[7,6,3,4,2,1,5]
[6,5,1,3,2,4,7]=>[5,3,4,6,2,1,7]
[6,5,1,3,2,7,4]=>[4,7,3,5,2,1,6]
[6,5,1,3,4,2,7]=>[4,6,3,5,2,1,7]
[6,5,1,3,4,7,2]=>[4,5,7,3,2,1,6]
[6,5,1,3,7,2,4]=>[4,6,7,3,2,1,5]
[6,5,1,3,7,4,2]=>[7,4,6,3,2,1,5]
[6,5,1,4,2,3,7]=>[5,6,3,4,2,1,7]
[6,5,1,4,2,7,3]=>[7,5,3,4,2,1,6]
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]
[6,5,1,4,3,7,2]=>[5,4,7,3,2,1,6]
[6,5,1,4,7,2,3]=>[6,4,7,3,2,1,5]
[6,5,1,4,7,3,2]=>[4,7,6,3,2,1,5]
[6,5,1,7,2,3,4]=>[5,6,7,3,2,1,4]
[6,5,1,7,2,4,3]=>[7,5,6,3,2,1,4]
[6,5,1,7,3,2,4]=>[6,5,7,3,2,1,4]
[6,5,1,7,3,4,2]=>[5,7,6,3,2,1,4]
[6,5,1,7,4,2,3]=>[6,7,5,3,2,1,4]
[6,5,1,7,4,3,2]=>[7,6,5,3,2,1,4]
[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]
[6,5,2,1,3,7,4]=>[3,7,4,5,2,1,6]
[6,5,2,1,4,3,7]=>[3,6,4,5,2,1,7]
[6,5,2,1,4,7,3]=>[3,5,7,4,2,1,6]
[6,5,2,1,7,3,4]=>[3,6,7,4,2,1,5]
[6,5,2,1,7,4,3]=>[7,3,6,4,2,1,5]
[6,5,2,3,1,4,7]=>[3,5,4,6,2,1,7]
[6,5,2,3,1,7,4]=>[3,4,7,5,2,1,6]
[6,5,2,3,4,1,7]=>[3,4,6,5,2,1,7]
[6,5,2,3,4,7,1]=>[3,4,5,2,1,7,6]
[6,5,2,3,7,1,4]=>[3,4,6,2,1,7,5]
[6,5,2,3,7,4,1]=>[7,3,4,2,1,6,5]
[6,5,2,4,1,3,7]=>[3,5,6,4,2,1,7]
[6,5,2,4,1,7,3]=>[7,3,5,4,2,1,6]
[6,5,2,4,3,1,7]=>[6,3,5,4,2,1,7]
[6,5,2,4,3,7,1]=>[5,3,4,2,1,7,6]
[6,5,2,4,7,1,3]=>[6,3,4,2,1,7,5]
[6,5,2,4,7,3,1]=>[4,7,3,2,1,6,5]
[6,5,2,7,1,3,4]=>[3,5,6,2,1,7,4]
[6,5,2,7,1,4,3]=>[7,3,5,2,1,6,4]
[6,5,2,7,3,1,4]=>[6,3,5,2,1,7,4]
[6,5,2,7,3,4,1]=>[5,7,3,2,1,6,4]
[6,5,2,7,4,1,3]=>[6,7,3,2,1,5,4]
[6,5,2,7,4,3,1]=>[7,6,3,2,1,5,4]
[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]
[6,5,3,1,2,7,4]=>[7,4,3,5,2,1,6]
[6,5,3,1,4,2,7]=>[6,4,3,5,2,1,7]
[6,5,3,1,4,7,2]=>[5,3,7,4,2,1,6]
[6,5,3,1,7,2,4]=>[6,3,7,4,2,1,5]
[6,5,3,1,7,4,2]=>[3,7,6,4,2,1,5]
[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]
[6,5,3,2,1,7,4]=>[4,3,7,5,2,1,6]
[6,5,3,2,4,1,7]=>[4,3,6,5,2,1,7]
[6,5,3,2,4,7,1]=>[4,3,5,2,1,7,6]
[6,5,3,2,7,1,4]=>[4,3,6,2,1,7,5]
[6,5,3,2,7,4,1]=>[3,7,4,2,1,6,5]
[6,5,3,4,1,2,7]=>[5,3,6,4,2,1,7]
[6,5,3,4,1,7,2]=>[3,7,5,4,2,1,6]
[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]
[6,5,3,4,2,7,1]=>[3,5,4,2,1,7,6]
[6,5,3,4,7,1,2]=>[3,6,4,2,1,7,5]
[6,5,3,4,7,2,1]=>[3,4,2,1,7,6,5]
[6,5,3,7,1,2,4]=>[5,3,6,2,1,7,4]
[6,5,3,7,1,4,2]=>[3,7,5,2,1,6,4]
[6,5,3,7,2,1,4]=>[3,6,5,2,1,7,4]
[6,5,3,7,2,4,1]=>[3,5,2,1,7,6,4]
[6,5,3,7,4,1,2]=>[3,6,2,1,7,5,4]
[6,5,3,7,4,2,1]=>[7,3,2,1,6,5,4]
[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]
[6,5,4,1,2,7,3]=>[7,4,5,3,2,1,6]
[6,5,4,1,3,2,7]=>[6,4,5,3,2,1,7]
[6,5,4,1,3,7,2]=>[5,7,4,3,2,1,6]
[6,5,4,1,7,2,3]=>[6,7,4,3,2,1,5]
[6,5,4,1,7,3,2]=>[7,6,4,3,2,1,5]
[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]
[6,5,4,2,1,7,3]=>[4,7,5,3,2,1,6]
[6,5,4,2,3,1,7]=>[4,6,5,3,2,1,7]
[6,5,4,2,3,7,1]=>[4,5,3,2,1,7,6]
[6,5,4,2,7,1,3]=>[4,6,3,2,1,7,5]
[6,5,4,2,7,3,1]=>[7,4,3,2,1,6,5]
[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]
[6,5,4,3,1,7,2]=>[7,5,4,3,2,1,6]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]
[6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6]
[6,5,4,3,7,1,2]=>[6,4,3,2,1,7,5]
[6,5,4,3,7,2,1]=>[4,3,2,1,7,6,5]
[6,5,4,7,1,2,3]=>[5,6,3,2,1,7,4]
[6,5,4,7,1,3,2]=>[7,5,3,2,1,6,4]
[6,5,4,7,2,1,3]=>[6,5,3,2,1,7,4]
[6,5,4,7,2,3,1]=>[5,3,2,1,7,6,4]
[6,5,4,7,3,1,2]=>[6,3,2,1,7,5,4]
[6,5,4,7,3,2,1]=>[3,2,1,7,6,5,4]
[6,5,7,1,2,3,4]=>[4,5,6,2,1,7,3]
[6,5,7,1,2,4,3]=>[7,4,5,2,1,6,3]
[6,5,7,1,3,2,4]=>[6,4,5,2,1,7,3]
[6,5,7,1,3,4,2]=>[5,7,4,2,1,6,3]
[6,5,7,1,4,2,3]=>[6,7,4,2,1,5,3]
[6,5,7,1,4,3,2]=>[7,6,4,2,1,5,3]
[6,5,7,2,1,3,4]=>[5,4,6,2,1,7,3]
[6,5,7,2,1,4,3]=>[4,7,5,2,1,6,3]
[6,5,7,2,3,1,4]=>[4,6,5,2,1,7,3]
[6,5,7,2,3,4,1]=>[4,5,2,1,7,6,3]
[6,5,7,2,4,1,3]=>[4,6,2,1,7,5,3]
[6,5,7,2,4,3,1]=>[7,4,2,1,6,5,3]
[6,5,7,3,1,2,4]=>[5,6,4,2,1,7,3]
[6,5,7,3,1,4,2]=>[7,5,4,2,1,6,3]
[6,5,7,3,2,1,4]=>[6,5,4,2,1,7,3]
[6,5,7,3,2,4,1]=>[5,4,2,1,7,6,3]
[6,5,7,3,4,1,2]=>[6,4,2,1,7,5,3]
[6,5,7,3,4,2,1]=>[4,2,1,7,6,5,3]
[6,5,7,4,1,2,3]=>[5,6,2,1,7,4,3]
[6,5,7,4,1,3,2]=>[7,5,2,1,6,4,3]
[6,5,7,4,2,1,3]=>[6,5,2,1,7,4,3]
[6,5,7,4,2,3,1]=>[5,2,1,7,6,4,3]
[6,5,7,4,3,1,2]=>[6,2,1,7,5,4,3]
[6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3]
[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]
[6,7,1,2,3,5,4]=>[7,3,4,5,1,6,2]
[6,7,1,2,4,3,5]=>[6,3,4,5,1,7,2]
[6,7,1,2,4,5,3]=>[5,7,3,4,1,6,2]
[6,7,1,2,5,3,4]=>[6,7,3,4,1,5,2]
[6,7,1,2,5,4,3]=>[7,6,3,4,1,5,2]
[6,7,1,3,2,4,5]=>[5,3,4,6,1,7,2]
[6,7,1,3,2,5,4]=>[4,7,3,5,1,6,2]
[6,7,1,3,4,2,5]=>[4,6,3,5,1,7,2]
[6,7,1,3,4,5,2]=>[4,5,7,3,1,6,2]
[6,7,1,3,5,2,4]=>[4,6,7,3,1,5,2]
[6,7,1,3,5,4,2]=>[7,4,6,3,1,5,2]
[6,7,1,4,2,3,5]=>[5,6,3,4,1,7,2]
[6,7,1,4,2,5,3]=>[7,5,3,4,1,6,2]
[6,7,1,4,3,2,5]=>[6,5,3,4,1,7,2]
[6,7,1,4,3,5,2]=>[5,4,7,3,1,6,2]
[6,7,1,4,5,2,3]=>[6,4,7,3,1,5,2]
[6,7,1,4,5,3,2]=>[4,7,6,3,1,5,2]
[6,7,1,5,2,3,4]=>[5,6,7,3,1,4,2]
[6,7,1,5,2,4,3]=>[7,5,6,3,1,4,2]
[6,7,1,5,3,2,4]=>[6,5,7,3,1,4,2]
[6,7,1,5,3,4,2]=>[5,7,6,3,1,4,2]
[6,7,1,5,4,2,3]=>[6,7,5,3,1,4,2]
[6,7,1,5,4,3,2]=>[7,6,5,3,1,4,2]
[6,7,2,1,3,4,5]=>[4,3,5,6,1,7,2]
[6,7,2,1,3,5,4]=>[3,7,4,5,1,6,2]
[6,7,2,1,4,3,5]=>[3,6,4,5,1,7,2]
[6,7,2,1,4,5,3]=>[3,5,7,4,1,6,2]
[6,7,2,1,5,3,4]=>[3,6,7,4,1,5,2]
[6,7,2,1,5,4,3]=>[7,3,6,4,1,5,2]
[6,7,2,3,1,4,5]=>[3,5,4,6,1,7,2]
[6,7,2,3,1,5,4]=>[3,4,7,5,1,6,2]
[6,7,2,3,4,1,5]=>[3,4,6,5,1,7,2]
[6,7,2,3,4,5,1]=>[3,4,5,1,7,6,2]
[6,7,2,3,5,1,4]=>[3,4,6,1,7,5,2]
[6,7,2,3,5,4,1]=>[7,3,4,1,6,5,2]
[6,7,2,4,1,3,5]=>[3,5,6,4,1,7,2]
[6,7,2,4,1,5,3]=>[7,3,5,4,1,6,2]
[6,7,2,4,3,1,5]=>[6,3,5,4,1,7,2]
[6,7,2,4,3,5,1]=>[5,3,4,1,7,6,2]
[6,7,2,4,5,1,3]=>[6,3,4,1,7,5,2]
[6,7,2,4,5,3,1]=>[4,7,3,1,6,5,2]
[6,7,2,5,1,3,4]=>[3,5,6,1,7,4,2]
[6,7,2,5,1,4,3]=>[7,3,5,1,6,4,2]
[6,7,2,5,3,1,4]=>[6,3,5,1,7,4,2]
[6,7,2,5,3,4,1]=>[5,7,3,1,6,4,2]
[6,7,2,5,4,1,3]=>[6,7,3,1,5,4,2]
[6,7,2,5,4,3,1]=>[7,6,3,1,5,4,2]
[6,7,3,1,2,4,5]=>[4,5,3,6,1,7,2]
[6,7,3,1,2,5,4]=>[7,4,3,5,1,6,2]
[6,7,3,1,4,2,5]=>[6,4,3,5,1,7,2]
[6,7,3,1,4,5,2]=>[5,3,7,4,1,6,2]
[6,7,3,1,5,2,4]=>[6,3,7,4,1,5,2]
[6,7,3,1,5,4,2]=>[3,7,6,4,1,5,2]
[6,7,3,2,1,4,5]=>[5,4,3,6,1,7,2]
[6,7,3,2,1,5,4]=>[4,3,7,5,1,6,2]
[6,7,3,2,4,1,5]=>[4,3,6,5,1,7,2]
[6,7,3,2,4,5,1]=>[4,3,5,1,7,6,2]
[6,7,3,2,5,1,4]=>[4,3,6,1,7,5,2]
[6,7,3,2,5,4,1]=>[3,7,4,1,6,5,2]
[6,7,3,4,1,2,5]=>[5,3,6,4,1,7,2]
[6,7,3,4,1,5,2]=>[3,7,5,4,1,6,2]
[6,7,3,4,2,1,5]=>[3,6,5,4,1,7,2]
[6,7,3,4,2,5,1]=>[3,5,4,1,7,6,2]
[6,7,3,4,5,1,2]=>[3,6,4,1,7,5,2]
[6,7,3,4,5,2,1]=>[3,4,1,7,6,5,2]
[6,7,3,5,1,2,4]=>[5,3,6,1,7,4,2]
[6,7,3,5,1,4,2]=>[3,7,5,1,6,4,2]
[6,7,3,5,2,1,4]=>[3,6,5,1,7,4,2]
[6,7,3,5,2,4,1]=>[3,5,1,7,6,4,2]
[6,7,3,5,4,1,2]=>[3,6,1,7,5,4,2]
[6,7,3,5,4,2,1]=>[7,3,1,6,5,4,2]
[6,7,4,1,2,3,5]=>[4,5,6,3,1,7,2]
[6,7,4,1,2,5,3]=>[7,4,5,3,1,6,2]
[6,7,4,1,3,2,5]=>[6,4,5,3,1,7,2]
[6,7,4,1,3,5,2]=>[5,7,4,3,1,6,2]
[6,7,4,1,5,2,3]=>[6,7,4,3,1,5,2]
[6,7,4,1,5,3,2]=>[7,6,4,3,1,5,2]
[6,7,4,2,1,3,5]=>[5,4,6,3,1,7,2]
[6,7,4,2,1,5,3]=>[4,7,5,3,1,6,2]
[6,7,4,2,3,1,5]=>[4,6,5,3,1,7,2]
[6,7,4,2,3,5,1]=>[4,5,3,1,7,6,2]
[6,7,4,2,5,1,3]=>[4,6,3,1,7,5,2]
[6,7,4,2,5,3,1]=>[7,4,3,1,6,5,2]
[6,7,4,3,1,2,5]=>[5,6,4,3,1,7,2]
[6,7,4,3,1,5,2]=>[7,5,4,3,1,6,2]
[6,7,4,3,2,1,5]=>[6,5,4,3,1,7,2]
[6,7,4,3,2,5,1]=>[5,4,3,1,7,6,2]
[6,7,4,3,5,1,2]=>[6,4,3,1,7,5,2]
[6,7,4,3,5,2,1]=>[4,3,1,7,6,5,2]
[6,7,4,5,1,2,3]=>[5,6,3,1,7,4,2]
[6,7,4,5,1,3,2]=>[7,5,3,1,6,4,2]
[6,7,4,5,2,1,3]=>[6,5,3,1,7,4,2]
[6,7,4,5,2,3,1]=>[5,3,1,7,6,4,2]
[6,7,4,5,3,1,2]=>[6,3,1,7,5,4,2]
[6,7,4,5,3,2,1]=>[3,1,7,6,5,4,2]
[6,7,5,1,2,3,4]=>[4,5,6,1,7,3,2]
[6,7,5,1,2,4,3]=>[7,4,5,1,6,3,2]
[6,7,5,1,3,2,4]=>[6,4,5,1,7,3,2]
[6,7,5,1,3,4,2]=>[5,7,4,1,6,3,2]
[6,7,5,1,4,2,3]=>[6,7,4,1,5,3,2]
[6,7,5,1,4,3,2]=>[7,6,4,1,5,3,2]
[6,7,5,2,1,3,4]=>[5,4,6,1,7,3,2]
[6,7,5,2,1,4,3]=>[4,7,5,1,6,3,2]
[6,7,5,2,3,1,4]=>[4,6,5,1,7,3,2]
[6,7,5,2,3,4,1]=>[4,5,1,7,6,3,2]
[6,7,5,2,4,1,3]=>[4,6,1,7,5,3,2]
[6,7,5,2,4,3,1]=>[7,4,1,6,5,3,2]
[6,7,5,3,1,2,4]=>[5,6,4,1,7,3,2]
[6,7,5,3,1,4,2]=>[7,5,4,1,6,3,2]
[6,7,5,3,2,1,4]=>[6,5,4,1,7,3,2]
[6,7,5,3,2,4,1]=>[5,4,1,7,6,3,2]
[6,7,5,3,4,1,2]=>[6,4,1,7,5,3,2]
[6,7,5,3,4,2,1]=>[4,1,7,6,5,3,2]
[6,7,5,4,1,2,3]=>[5,6,1,7,4,3,2]
[6,7,5,4,1,3,2]=>[7,5,1,6,4,3,2]
[6,7,5,4,2,1,3]=>[6,5,1,7,4,3,2]
[6,7,5,4,2,3,1]=>[5,1,7,6,4,3,2]
[6,7,5,4,3,1,2]=>[6,1,7,5,4,3,2]
[6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2]
[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[7,1,2,3,4,6,5]=>[7,2,3,4,5,6,1]
[7,1,2,3,5,4,6]=>[6,2,3,4,5,7,1]
[7,1,2,3,5,6,4]=>[5,7,2,3,4,6,1]
[7,1,2,3,6,4,5]=>[6,7,2,3,4,5,1]
[7,1,2,3,6,5,4]=>[7,6,2,3,4,5,1]
[7,1,2,4,3,5,6]=>[5,2,3,4,6,7,1]
[7,1,2,4,3,6,5]=>[4,7,2,3,5,6,1]
[7,1,2,4,5,3,6]=>[4,6,2,3,5,7,1]
[7,1,2,4,5,6,3]=>[4,5,7,2,3,6,1]
[7,1,2,4,6,3,5]=>[4,6,7,2,3,5,1]
[7,1,2,4,6,5,3]=>[7,4,6,2,3,5,1]
[7,1,2,5,3,4,6]=>[5,6,2,3,4,7,1]
[7,1,2,5,3,6,4]=>[7,5,2,3,4,6,1]
[7,1,2,5,4,3,6]=>[6,5,2,3,4,7,1]
[7,1,2,5,4,6,3]=>[5,4,7,2,3,6,1]
[7,1,2,5,6,3,4]=>[6,4,7,2,3,5,1]
[7,1,2,5,6,4,3]=>[4,7,6,2,3,5,1]
[7,1,2,6,3,4,5]=>[5,6,7,2,3,4,1]
[7,1,2,6,3,5,4]=>[7,5,6,2,3,4,1]
[7,1,2,6,4,3,5]=>[6,5,7,2,3,4,1]
[7,1,2,6,4,5,3]=>[5,7,6,2,3,4,1]
[7,1,2,6,5,3,4]=>[6,7,5,2,3,4,1]
[7,1,2,6,5,4,3]=>[7,6,5,2,3,4,1]
[7,1,3,2,4,5,6]=>[4,2,3,5,6,7,1]
[7,1,3,2,4,6,5]=>[3,7,2,4,5,6,1]
[7,1,3,2,5,4,6]=>[3,6,2,4,5,7,1]
[7,1,3,2,5,6,4]=>[3,5,7,2,4,6,1]
[7,1,3,2,6,4,5]=>[3,6,7,2,4,5,1]
[7,1,3,2,6,5,4]=>[7,3,6,2,4,5,1]
[7,1,3,4,2,5,6]=>[3,5,2,4,6,7,1]
[7,1,3,4,2,6,5]=>[3,4,7,2,5,6,1]
[7,1,3,4,5,2,6]=>[3,4,6,2,5,7,1]
[7,1,3,4,5,6,2]=>[3,4,5,7,2,6,1]
[7,1,3,4,6,2,5]=>[3,4,6,7,2,5,1]
[7,1,3,4,6,5,2]=>[7,3,4,6,2,5,1]
[7,1,3,5,2,4,6]=>[3,5,6,2,4,7,1]
[7,1,3,5,2,6,4]=>[7,3,5,2,4,6,1]
[7,1,3,5,4,2,6]=>[6,3,5,2,4,7,1]
[7,1,3,5,4,6,2]=>[5,3,4,7,2,6,1]
[7,1,3,5,6,2,4]=>[6,3,4,7,2,5,1]
[7,1,3,5,6,4,2]=>[4,7,3,6,2,5,1]
[7,1,3,6,2,4,5]=>[3,5,6,7,2,4,1]
[7,1,3,6,2,5,4]=>[7,3,5,6,2,4,1]
[7,1,3,6,4,2,5]=>[6,3,5,7,2,4,1]
[7,1,3,6,4,5,2]=>[5,7,3,6,2,4,1]
[7,1,3,6,5,2,4]=>[6,7,3,5,2,4,1]
[7,1,3,6,5,4,2]=>[7,6,3,5,2,4,1]
[7,1,4,2,3,5,6]=>[4,5,2,3,6,7,1]
[7,1,4,2,3,6,5]=>[7,4,2,3,5,6,1]
[7,1,4,2,5,3,6]=>[6,4,2,3,5,7,1]
[7,1,4,2,5,6,3]=>[5,3,7,2,4,6,1]
[7,1,4,2,6,3,5]=>[6,3,7,2,4,5,1]
[7,1,4,2,6,5,3]=>[3,7,6,2,4,5,1]
[7,1,4,3,2,5,6]=>[5,4,2,3,6,7,1]
[7,1,4,3,2,6,5]=>[4,3,7,2,5,6,1]
[7,1,4,3,5,2,6]=>[4,3,6,2,5,7,1]
[7,1,4,3,5,6,2]=>[4,3,5,7,2,6,1]
[7,1,4,3,6,2,5]=>[4,3,6,7,2,5,1]
[7,1,4,3,6,5,2]=>[3,7,4,6,2,5,1]
[7,1,4,5,2,3,6]=>[5,3,6,2,4,7,1]
[7,1,4,5,2,6,3]=>[3,7,5,2,4,6,1]
[7,1,4,5,3,2,6]=>[3,6,5,2,4,7,1]
[7,1,4,5,3,6,2]=>[3,5,4,7,2,6,1]
[7,1,4,5,6,2,3]=>[3,6,4,7,2,5,1]
[7,1,4,5,6,3,2]=>[3,4,7,6,2,5,1]
[7,1,4,6,2,3,5]=>[5,3,6,7,2,4,1]
[7,1,4,6,2,5,3]=>[3,7,5,6,2,4,1]
[7,1,4,6,3,2,5]=>[3,6,5,7,2,4,1]
[7,1,4,6,3,5,2]=>[3,5,7,6,2,4,1]
[7,1,4,6,5,2,3]=>[3,6,7,5,2,4,1]
[7,1,4,6,5,3,2]=>[7,3,6,5,2,4,1]
[7,1,5,2,3,4,6]=>[4,5,6,2,3,7,1]
[7,1,5,2,3,6,4]=>[7,4,5,2,3,6,1]
[7,1,5,2,4,3,6]=>[6,4,5,2,3,7,1]
[7,1,5,2,4,6,3]=>[5,7,4,2,3,6,1]
[7,1,5,2,6,3,4]=>[6,7,4,2,3,5,1]
[7,1,5,2,6,4,3]=>[7,6,4,2,3,5,1]
[7,1,5,3,2,4,6]=>[5,4,6,2,3,7,1]
[7,1,5,3,2,6,4]=>[4,7,5,2,3,6,1]
[7,1,5,3,4,2,6]=>[4,6,5,2,3,7,1]
[7,1,5,3,4,6,2]=>[4,5,3,7,2,6,1]
[7,1,5,3,6,2,4]=>[4,6,3,7,2,5,1]
[7,1,5,3,6,4,2]=>[7,4,3,6,2,5,1]
[7,1,5,4,2,3,6]=>[5,6,4,2,3,7,1]
[7,1,5,4,2,6,3]=>[7,5,4,2,3,6,1]
[7,1,5,4,3,2,6]=>[6,5,4,2,3,7,1]
[7,1,5,4,3,6,2]=>[5,4,3,7,2,6,1]
[7,1,5,4,6,2,3]=>[6,4,3,7,2,5,1]
[7,1,5,4,6,3,2]=>[4,3,7,6,2,5,1]
[7,1,5,6,2,3,4]=>[5,6,3,7,2,4,1]
[7,1,5,6,2,4,3]=>[7,5,3,6,2,4,1]
[7,1,5,6,3,2,4]=>[6,5,3,7,2,4,1]
[7,1,5,6,3,4,2]=>[5,3,7,6,2,4,1]
[7,1,5,6,4,2,3]=>[6,3,7,5,2,4,1]
[7,1,5,6,4,3,2]=>[3,7,6,5,2,4,1]
[7,1,6,2,3,4,5]=>[4,5,6,7,2,3,1]
[7,1,6,2,3,5,4]=>[7,4,5,6,2,3,1]
[7,1,6,2,4,3,5]=>[6,4,5,7,2,3,1]
[7,1,6,2,4,5,3]=>[5,7,4,6,2,3,1]
[7,1,6,2,5,3,4]=>[6,7,4,5,2,3,1]
[7,1,6,2,5,4,3]=>[7,6,4,5,2,3,1]
[7,1,6,3,2,4,5]=>[5,4,6,7,2,3,1]
[7,1,6,3,2,5,4]=>[4,7,5,6,2,3,1]
[7,1,6,3,4,2,5]=>[4,6,5,7,2,3,1]
[7,1,6,3,4,5,2]=>[4,5,7,6,2,3,1]
[7,1,6,3,5,2,4]=>[4,6,7,5,2,3,1]
[7,1,6,3,5,4,2]=>[7,4,6,5,2,3,1]
[7,1,6,4,2,3,5]=>[5,6,4,7,2,3,1]
[7,1,6,4,2,5,3]=>[7,5,4,6,2,3,1]
[7,1,6,4,3,2,5]=>[6,5,4,7,2,3,1]
[7,1,6,4,3,5,2]=>[5,4,7,6,2,3,1]
[7,1,6,4,5,2,3]=>[6,4,7,5,2,3,1]
[7,1,6,4,5,3,2]=>[4,7,6,5,2,3,1]
[7,1,6,5,2,3,4]=>[5,6,7,4,2,3,1]
[7,1,6,5,2,4,3]=>[7,5,6,4,2,3,1]
[7,1,6,5,3,2,4]=>[6,5,7,4,2,3,1]
[7,1,6,5,3,4,2]=>[5,7,6,4,2,3,1]
[7,1,6,5,4,2,3]=>[6,7,5,4,2,3,1]
[7,1,6,5,4,3,2]=>[7,6,5,4,2,3,1]
[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]
[7,2,1,3,4,6,5]=>[2,7,3,4,5,6,1]
[7,2,1,3,5,4,6]=>[2,6,3,4,5,7,1]
[7,2,1,3,5,6,4]=>[2,5,7,3,4,6,1]
[7,2,1,3,6,4,5]=>[2,6,7,3,4,5,1]
[7,2,1,3,6,5,4]=>[7,2,6,3,4,5,1]
[7,2,1,4,3,5,6]=>[2,5,3,4,6,7,1]
[7,2,1,4,3,6,5]=>[2,4,7,3,5,6,1]
[7,2,1,4,5,3,6]=>[2,4,6,3,5,7,1]
[7,2,1,4,5,6,3]=>[2,4,5,7,3,6,1]
[7,2,1,4,6,3,5]=>[2,4,6,7,3,5,1]
[7,2,1,4,6,5,3]=>[7,2,4,6,3,5,1]
[7,2,1,5,3,4,6]=>[2,5,6,3,4,7,1]
[7,2,1,5,3,6,4]=>[7,2,5,3,4,6,1]
[7,2,1,5,4,3,6]=>[6,2,5,3,4,7,1]
[7,2,1,5,4,6,3]=>[5,2,4,7,3,6,1]
[7,2,1,5,6,3,4]=>[6,2,4,7,3,5,1]
[7,2,1,5,6,4,3]=>[4,7,2,6,3,5,1]
[7,2,1,6,3,4,5]=>[2,5,6,7,3,4,1]
[7,2,1,6,3,5,4]=>[7,2,5,6,3,4,1]
[7,2,1,6,4,3,5]=>[6,2,5,7,3,4,1]
[7,2,1,6,4,5,3]=>[5,7,2,6,3,4,1]
[7,2,1,6,5,3,4]=>[6,7,2,5,3,4,1]
[7,2,1,6,5,4,3]=>[7,6,2,5,3,4,1]
[7,2,3,1,4,5,6]=>[2,4,3,5,6,7,1]
[7,2,3,1,4,6,5]=>[2,3,7,4,5,6,1]
[7,2,3,1,5,4,6]=>[2,3,6,4,5,7,1]
[7,2,3,1,5,6,4]=>[2,3,5,7,4,6,1]
[7,2,3,1,6,4,5]=>[2,3,6,7,4,5,1]
[7,2,3,1,6,5,4]=>[7,2,3,6,4,5,1]
[7,2,3,4,1,5,6]=>[2,3,5,4,6,7,1]
[7,2,3,4,1,6,5]=>[2,3,4,7,5,6,1]
[7,2,3,4,5,1,6]=>[2,3,4,6,5,7,1]
[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]
[7,2,3,4,6,1,5]=>[2,3,4,6,7,5,1]
[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]
[7,2,3,5,1,4,6]=>[2,3,5,6,4,7,1]
[7,2,3,5,1,6,4]=>[7,2,3,5,4,6,1]
[7,2,3,5,4,1,6]=>[6,2,3,5,4,7,1]
[7,2,3,5,4,6,1]=>[5,2,3,4,7,6,1]
[7,2,3,5,6,1,4]=>[6,2,3,4,7,5,1]
[7,2,3,5,6,4,1]=>[4,7,2,3,6,5,1]
[7,2,3,6,1,4,5]=>[2,3,5,6,7,4,1]
[7,2,3,6,1,5,4]=>[7,2,3,5,6,4,1]
[7,2,3,6,4,1,5]=>[6,2,3,5,7,4,1]
[7,2,3,6,4,5,1]=>[5,7,2,3,6,4,1]
[7,2,3,6,5,1,4]=>[6,7,2,3,5,4,1]
[7,2,3,6,5,4,1]=>[7,6,2,3,5,4,1]
[7,2,4,1,3,5,6]=>[2,4,5,3,6,7,1]
[7,2,4,1,3,6,5]=>[7,2,4,3,5,6,1]
[7,2,4,1,5,3,6]=>[6,2,4,3,5,7,1]
[7,2,4,1,5,6,3]=>[5,2,3,7,4,6,1]
[7,2,4,1,6,3,5]=>[6,2,3,7,4,5,1]
[7,2,4,1,6,5,3]=>[3,7,2,6,4,5,1]
[7,2,4,3,1,5,6]=>[5,2,4,3,6,7,1]
[7,2,4,3,1,6,5]=>[4,2,3,7,5,6,1]
[7,2,4,3,5,1,6]=>[4,2,3,6,5,7,1]
[7,2,4,3,5,6,1]=>[4,2,3,5,7,6,1]
[7,2,4,3,6,1,5]=>[4,2,3,6,7,5,1]
[7,2,4,3,6,5,1]=>[3,7,2,4,6,5,1]
[7,2,4,5,1,3,6]=>[5,2,3,6,4,7,1]
[7,2,4,5,1,6,3]=>[3,7,2,5,4,6,1]
[7,2,4,5,3,1,6]=>[3,6,2,5,4,7,1]
[7,2,4,5,3,6,1]=>[3,5,2,4,7,6,1]
[7,2,4,5,6,1,3]=>[3,6,2,4,7,5,1]
[7,2,4,5,6,3,1]=>[3,4,7,2,6,5,1]
[7,2,4,6,1,3,5]=>[5,2,3,6,7,4,1]
[7,2,4,6,1,5,3]=>[3,7,2,5,6,4,1]
[7,2,4,6,3,1,5]=>[3,6,2,5,7,4,1]
[7,2,4,6,3,5,1]=>[3,5,7,2,6,4,1]
[7,2,4,6,5,1,3]=>[3,6,7,2,5,4,1]
[7,2,4,6,5,3,1]=>[7,3,6,2,5,4,1]
[7,2,5,1,3,4,6]=>[2,4,5,6,3,7,1]
[7,2,5,1,3,6,4]=>[7,2,4,5,3,6,1]
[7,2,5,1,4,3,6]=>[6,2,4,5,3,7,1]
[7,2,5,1,4,6,3]=>[5,7,2,4,3,6,1]
[7,2,5,1,6,3,4]=>[6,7,2,4,3,5,1]
[7,2,5,1,6,4,3]=>[7,6,2,4,3,5,1]
[7,2,5,3,1,4,6]=>[5,2,4,6,3,7,1]
[7,2,5,3,1,6,4]=>[4,7,2,5,3,6,1]
[7,2,5,3,4,1,6]=>[4,6,2,5,3,7,1]
[7,2,5,3,4,6,1]=>[4,5,2,3,7,6,1]
[7,2,5,3,6,1,4]=>[4,6,2,3,7,5,1]
[7,2,5,3,6,4,1]=>[7,4,2,3,6,5,1]
[7,2,5,4,1,3,6]=>[5,6,2,4,3,7,1]
[7,2,5,4,1,6,3]=>[7,5,2,4,3,6,1]
[7,2,5,4,3,1,6]=>[6,5,2,4,3,7,1]
[7,2,5,4,3,6,1]=>[5,4,2,3,7,6,1]
[7,2,5,4,6,1,3]=>[6,4,2,3,7,5,1]
[7,2,5,4,6,3,1]=>[4,3,7,2,6,5,1]
[7,2,5,6,1,3,4]=>[5,6,2,3,7,4,1]
[7,2,5,6,1,4,3]=>[7,5,2,3,6,4,1]
[7,2,5,6,3,1,4]=>[6,5,2,3,7,4,1]
[7,2,5,6,3,4,1]=>[5,3,7,2,6,4,1]
[7,2,5,6,4,1,3]=>[6,3,7,2,5,4,1]
[7,2,5,6,4,3,1]=>[3,7,6,2,5,4,1]
[7,2,6,1,3,4,5]=>[2,4,5,6,7,3,1]
[7,2,6,1,3,5,4]=>[7,2,4,5,6,3,1]
[7,2,6,1,4,3,5]=>[6,2,4,5,7,3,1]
[7,2,6,1,4,5,3]=>[5,7,2,4,6,3,1]
[7,2,6,1,5,3,4]=>[6,7,2,4,5,3,1]
[7,2,6,1,5,4,3]=>[7,6,2,4,5,3,1]
[7,2,6,3,1,4,5]=>[5,2,4,6,7,3,1]
[7,2,6,3,1,5,4]=>[4,7,2,5,6,3,1]
[7,2,6,3,4,1,5]=>[4,6,2,5,7,3,1]
[7,2,6,3,4,5,1]=>[4,5,7,2,6,3,1]
[7,2,6,3,5,1,4]=>[4,6,7,2,5,3,1]
[7,2,6,3,5,4,1]=>[7,4,6,2,5,3,1]
[7,2,6,4,1,3,5]=>[5,6,2,4,7,3,1]
[7,2,6,4,1,5,3]=>[7,5,2,4,6,3,1]
[7,2,6,4,3,1,5]=>[6,5,2,4,7,3,1]
[7,2,6,4,3,5,1]=>[5,4,7,2,6,3,1]
[7,2,6,4,5,1,3]=>[6,4,7,2,5,3,1]
[7,2,6,4,5,3,1]=>[4,7,6,2,5,3,1]
[7,2,6,5,1,3,4]=>[5,6,7,2,4,3,1]
[7,2,6,5,1,4,3]=>[7,5,6,2,4,3,1]
[7,2,6,5,3,1,4]=>[6,5,7,2,4,3,1]
[7,2,6,5,3,4,1]=>[5,7,6,2,4,3,1]
[7,2,6,5,4,1,3]=>[6,7,5,2,4,3,1]
[7,2,6,5,4,3,1]=>[7,6,5,2,4,3,1]
[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]
[7,3,1,2,4,6,5]=>[7,3,2,4,5,6,1]
[7,3,1,2,5,4,6]=>[6,3,2,4,5,7,1]
[7,3,1,2,5,6,4]=>[5,2,7,3,4,6,1]
[7,3,1,2,6,4,5]=>[6,2,7,3,4,5,1]
[7,3,1,2,6,5,4]=>[2,7,6,3,4,5,1]
[7,3,1,4,2,5,6]=>[5,3,2,4,6,7,1]
[7,3,1,4,2,6,5]=>[4,2,7,3,5,6,1]
[7,3,1,4,5,2,6]=>[4,2,6,3,5,7,1]
[7,3,1,4,5,6,2]=>[4,2,5,7,3,6,1]
[7,3,1,4,6,2,5]=>[4,2,6,7,3,5,1]
[7,3,1,4,6,5,2]=>[2,7,4,6,3,5,1]
[7,3,1,5,2,4,6]=>[5,2,6,3,4,7,1]
[7,3,1,5,2,6,4]=>[2,7,5,3,4,6,1]
[7,3,1,5,4,2,6]=>[2,6,5,3,4,7,1]
[7,3,1,5,4,6,2]=>[2,5,4,7,3,6,1]
[7,3,1,5,6,2,4]=>[2,6,4,7,3,5,1]
[7,3,1,5,6,4,2]=>[2,4,7,6,3,5,1]
[7,3,1,6,2,4,5]=>[5,2,6,7,3,4,1]
[7,3,1,6,2,5,4]=>[2,7,5,6,3,4,1]
[7,3,1,6,4,2,5]=>[2,6,5,7,3,4,1]
[7,3,1,6,4,5,2]=>[2,5,7,6,3,4,1]
[7,3,1,6,5,2,4]=>[2,6,7,5,3,4,1]
[7,3,1,6,5,4,2]=>[7,2,6,5,3,4,1]
[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]
[7,3,2,1,4,6,5]=>[3,2,7,4,5,6,1]
[7,3,2,1,5,4,6]=>[3,2,6,4,5,7,1]
[7,3,2,1,5,6,4]=>[3,2,5,7,4,6,1]
[7,3,2,1,6,4,5]=>[3,2,6,7,4,5,1]
[7,3,2,1,6,5,4]=>[2,7,3,6,4,5,1]
[7,3,2,4,1,5,6]=>[3,2,5,4,6,7,1]
[7,3,2,4,1,6,5]=>[3,2,4,7,5,6,1]
[7,3,2,4,5,1,6]=>[3,2,4,6,5,7,1]
[7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]
[7,3,2,4,6,1,5]=>[3,2,4,6,7,5,1]
[7,3,2,4,6,5,1]=>[2,7,3,4,6,5,1]
[7,3,2,5,1,4,6]=>[3,2,5,6,4,7,1]
[7,3,2,5,1,6,4]=>[2,7,3,5,4,6,1]
[7,3,2,5,4,1,6]=>[2,6,3,5,4,7,1]
[7,3,2,5,4,6,1]=>[2,5,3,4,7,6,1]
[7,3,2,5,6,1,4]=>[2,6,3,4,7,5,1]
[7,3,2,5,6,4,1]=>[2,4,7,3,6,5,1]
[7,3,2,6,1,4,5]=>[3,2,5,6,7,4,1]
[7,3,2,6,1,5,4]=>[2,7,3,5,6,4,1]
[7,3,2,6,4,1,5]=>[2,6,3,5,7,4,1]
[7,3,2,6,4,5,1]=>[2,5,7,3,6,4,1]
[7,3,2,6,5,1,4]=>[2,6,7,3,5,4,1]
[7,3,2,6,5,4,1]=>[7,2,6,3,5,4,1]
[7,3,4,1,2,5,6]=>[4,2,5,3,6,7,1]
[7,3,4,1,2,6,5]=>[2,7,4,3,5,6,1]
[7,3,4,1,5,2,6]=>[2,6,4,3,5,7,1]
[7,3,4,1,5,6,2]=>[2,5,3,7,4,6,1]
[7,3,4,1,6,2,5]=>[2,6,3,7,4,5,1]
[7,3,4,1,6,5,2]=>[2,3,7,6,4,5,1]
[7,3,4,2,1,5,6]=>[2,5,4,3,6,7,1]
[7,3,4,2,1,6,5]=>[2,4,3,7,5,6,1]
[7,3,4,2,5,1,6]=>[2,4,3,6,5,7,1]
[7,3,4,2,5,6,1]=>[2,4,3,5,7,6,1]
[7,3,4,2,6,1,5]=>[2,4,3,6,7,5,1]
[7,3,4,2,6,5,1]=>[2,3,7,4,6,5,1]
[7,3,4,5,1,2,6]=>[2,5,3,6,4,7,1]
[7,3,4,5,1,6,2]=>[2,3,7,5,4,6,1]
[7,3,4,5,2,1,6]=>[2,3,6,5,4,7,1]
[7,3,4,5,2,6,1]=>[2,3,5,4,7,6,1]
[7,3,4,5,6,1,2]=>[2,3,6,4,7,5,1]
[7,3,4,5,6,2,1]=>[2,3,4,7,6,5,1]
[7,3,4,6,1,2,5]=>[2,5,3,6,7,4,1]
[7,3,4,6,1,5,2]=>[2,3,7,5,6,4,1]
[7,3,4,6,2,1,5]=>[2,3,6,5,7,4,1]
[7,3,4,6,2,5,1]=>[2,3,5,7,6,4,1]
[7,3,4,6,5,1,2]=>[2,3,6,7,5,4,1]
[7,3,4,6,5,2,1]=>[7,2,3,6,5,4,1]
[7,3,5,1,2,4,6]=>[4,2,5,6,3,7,1]
[7,3,5,1,2,6,4]=>[2,7,4,5,3,6,1]
[7,3,5,1,4,2,6]=>[2,6,4,5,3,7,1]
[7,3,5,1,4,6,2]=>[2,5,7,4,3,6,1]
[7,3,5,1,6,2,4]=>[2,6,7,4,3,5,1]
[7,3,5,1,6,4,2]=>[7,2,6,4,3,5,1]
[7,3,5,2,1,4,6]=>[2,5,4,6,3,7,1]
[7,3,5,2,1,6,4]=>[2,4,7,5,3,6,1]
[7,3,5,2,4,1,6]=>[2,4,6,5,3,7,1]
[7,3,5,2,4,6,1]=>[2,4,5,3,7,6,1]
[7,3,5,2,6,1,4]=>[2,4,6,3,7,5,1]
[7,3,5,2,6,4,1]=>[7,2,4,3,6,5,1]
[7,3,5,4,1,2,6]=>[2,5,6,4,3,7,1]
[7,3,5,4,1,6,2]=>[7,2,5,4,3,6,1]
[7,3,5,4,2,1,6]=>[6,2,5,4,3,7,1]
[7,3,5,4,2,6,1]=>[5,2,4,3,7,6,1]
[7,3,5,4,6,1,2]=>[6,2,4,3,7,5,1]
[7,3,5,4,6,2,1]=>[4,2,3,7,6,5,1]
[7,3,5,6,1,2,4]=>[2,5,6,3,7,4,1]
[7,3,5,6,1,4,2]=>[7,2,5,3,6,4,1]
[7,3,5,6,2,1,4]=>[6,2,5,3,7,4,1]
[7,3,5,6,2,4,1]=>[5,2,3,7,6,4,1]
[7,3,5,6,4,1,2]=>[6,2,3,7,5,4,1]
[7,3,5,6,4,2,1]=>[3,7,2,6,5,4,1]
[7,3,6,1,2,4,5]=>[4,2,5,6,7,3,1]
[7,3,6,1,2,5,4]=>[2,7,4,5,6,3,1]
[7,3,6,1,4,2,5]=>[2,6,4,5,7,3,1]
[7,3,6,1,4,5,2]=>[2,5,7,4,6,3,1]
[7,3,6,1,5,2,4]=>[2,6,7,4,5,3,1]
[7,3,6,1,5,4,2]=>[7,2,6,4,5,3,1]
[7,3,6,2,1,4,5]=>[2,5,4,6,7,3,1]
[7,3,6,2,1,5,4]=>[2,4,7,5,6,3,1]
[7,3,6,2,4,1,5]=>[2,4,6,5,7,3,1]
[7,3,6,2,4,5,1]=>[2,4,5,7,6,3,1]
[7,3,6,2,5,1,4]=>[2,4,6,7,5,3,1]
[7,3,6,2,5,4,1]=>[7,2,4,6,5,3,1]
[7,3,6,4,1,2,5]=>[2,5,6,4,7,3,1]
[7,3,6,4,1,5,2]=>[7,2,5,4,6,3,1]
[7,3,6,4,2,1,5]=>[6,2,5,4,7,3,1]
[7,3,6,4,2,5,1]=>[5,2,4,7,6,3,1]
[7,3,6,4,5,1,2]=>[6,2,4,7,5,3,1]
[7,3,6,4,5,2,1]=>[4,7,2,6,5,3,1]
[7,3,6,5,1,2,4]=>[2,5,6,7,4,3,1]
[7,3,6,5,1,4,2]=>[7,2,5,6,4,3,1]
[7,3,6,5,2,1,4]=>[6,2,5,7,4,3,1]
[7,3,6,5,2,4,1]=>[5,7,2,6,4,3,1]
[7,3,6,5,4,1,2]=>[6,7,2,5,4,3,1]
[7,3,6,5,4,2,1]=>[7,6,2,5,4,3,1]
[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]
[7,4,1,2,3,6,5]=>[7,3,4,2,5,6,1]
[7,4,1,2,5,3,6]=>[6,3,4,2,5,7,1]
[7,4,1,2,5,6,3]=>[5,7,3,2,4,6,1]
[7,4,1,2,6,3,5]=>[6,7,3,2,4,5,1]
[7,4,1,2,6,5,3]=>[7,6,3,2,4,5,1]
[7,4,1,3,2,5,6]=>[5,3,4,2,6,7,1]
[7,4,1,3,2,6,5]=>[4,7,3,2,5,6,1]
[7,4,1,3,5,2,6]=>[4,6,3,2,5,7,1]
[7,4,1,3,5,6,2]=>[4,5,2,7,3,6,1]
[7,4,1,3,6,2,5]=>[4,6,2,7,3,5,1]
[7,4,1,3,6,5,2]=>[7,4,2,6,3,5,1]
[7,4,1,5,2,3,6]=>[5,6,3,2,4,7,1]
[7,4,1,5,2,6,3]=>[7,5,3,2,4,6,1]
[7,4,1,5,3,2,6]=>[6,5,3,2,4,7,1]
[7,4,1,5,3,6,2]=>[5,4,2,7,3,6,1]
[7,4,1,5,6,2,3]=>[6,4,2,7,3,5,1]
[7,4,1,5,6,3,2]=>[4,2,7,6,3,5,1]
[7,4,1,6,2,3,5]=>[5,6,2,7,3,4,1]
[7,4,1,6,2,5,3]=>[7,5,2,6,3,4,1]
[7,4,1,6,3,2,5]=>[6,5,2,7,3,4,1]
[7,4,1,6,3,5,2]=>[5,2,7,6,3,4,1]
[7,4,1,6,5,2,3]=>[6,2,7,5,3,4,1]
[7,4,1,6,5,3,2]=>[2,7,6,5,3,4,1]
[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]
[7,4,2,1,3,6,5]=>[3,7,4,2,5,6,1]
[7,4,2,1,5,3,6]=>[3,6,4,2,5,7,1]
[7,4,2,1,5,6,3]=>[3,5,2,7,4,6,1]
[7,4,2,1,6,3,5]=>[3,6,2,7,4,5,1]
[7,4,2,1,6,5,3]=>[7,3,2,6,4,5,1]
[7,4,2,3,1,5,6]=>[3,5,4,2,6,7,1]
[7,4,2,3,1,6,5]=>[3,4,2,7,5,6,1]
[7,4,2,3,5,1,6]=>[3,4,2,6,5,7,1]
[7,4,2,3,5,6,1]=>[3,4,2,5,7,6,1]
[7,4,2,3,6,1,5]=>[3,4,2,6,7,5,1]
[7,4,2,3,6,5,1]=>[7,3,2,4,6,5,1]
[7,4,2,5,1,3,6]=>[3,5,2,6,4,7,1]
[7,4,2,5,1,6,3]=>[7,3,2,5,4,6,1]
[7,4,2,5,3,1,6]=>[6,3,2,5,4,7,1]
[7,4,2,5,3,6,1]=>[5,3,2,4,7,6,1]
[7,4,2,5,6,1,3]=>[6,3,2,4,7,5,1]
[7,4,2,5,6,3,1]=>[4,2,7,3,6,5,1]
[7,4,2,6,1,3,5]=>[3,5,2,6,7,4,1]
[7,4,2,6,1,5,3]=>[7,3,2,5,6,4,1]
[7,4,2,6,3,1,5]=>[6,3,2,5,7,4,1]
[7,4,2,6,3,5,1]=>[5,2,7,3,6,4,1]
[7,4,2,6,5,1,3]=>[6,2,7,3,5,4,1]
[7,4,2,6,5,3,1]=>[2,7,6,3,5,4,1]
[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]
[7,4,3,1,2,6,5]=>[7,4,3,2,5,6,1]
[7,4,3,1,5,2,6]=>[6,4,3,2,5,7,1]
[7,4,3,1,5,6,2]=>[5,3,2,7,4,6,1]
[7,4,3,1,6,2,5]=>[6,3,2,7,4,5,1]
[7,4,3,1,6,5,2]=>[3,2,7,6,4,5,1]
[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]
[7,4,3,2,1,6,5]=>[4,3,2,7,5,6,1]
[7,4,3,2,5,1,6]=>[4,3,2,6,5,7,1]
[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]
[7,4,3,2,6,1,5]=>[4,3,2,6,7,5,1]
[7,4,3,2,6,5,1]=>[3,2,7,4,6,5,1]
[7,4,3,5,1,2,6]=>[5,3,2,6,4,7,1]
[7,4,3,5,1,6,2]=>[3,2,7,5,4,6,1]
[7,4,3,5,2,1,6]=>[3,2,6,5,4,7,1]
[7,4,3,5,2,6,1]=>[3,2,5,4,7,6,1]
[7,4,3,5,6,1,2]=>[3,2,6,4,7,5,1]
[7,4,3,5,6,2,1]=>[3,2,4,7,6,5,1]
[7,4,3,6,1,2,5]=>[5,3,2,6,7,4,1]
[7,4,3,6,1,5,2]=>[3,2,7,5,6,4,1]
[7,4,3,6,2,1,5]=>[3,2,6,5,7,4,1]
[7,4,3,6,2,5,1]=>[3,2,5,7,6,4,1]
[7,4,3,6,5,1,2]=>[3,2,6,7,5,4,1]
[7,4,3,6,5,2,1]=>[2,7,3,6,5,4,1]
[7,4,5,1,2,3,6]=>[4,5,2,6,3,7,1]
[7,4,5,1,2,6,3]=>[7,4,2,5,3,6,1]
[7,4,5,1,3,2,6]=>[6,4,2,5,3,7,1]
[7,4,5,1,3,6,2]=>[5,2,7,4,3,6,1]
[7,4,5,1,6,2,3]=>[6,2,7,4,3,5,1]
[7,4,5,1,6,3,2]=>[2,7,6,4,3,5,1]
[7,4,5,2,1,3,6]=>[5,4,2,6,3,7,1]
[7,4,5,2,1,6,3]=>[4,2,7,5,3,6,1]
[7,4,5,2,3,1,6]=>[4,2,6,5,3,7,1]
[7,4,5,2,3,6,1]=>[4,2,5,3,7,6,1]
[7,4,5,2,6,1,3]=>[4,2,6,3,7,5,1]
[7,4,5,2,6,3,1]=>[2,7,4,3,6,5,1]
[7,4,5,3,1,2,6]=>[5,2,6,4,3,7,1]
[7,4,5,3,1,6,2]=>[2,7,5,4,3,6,1]
[7,4,5,3,2,1,6]=>[2,6,5,4,3,7,1]
[7,4,5,3,2,6,1]=>[2,5,4,3,7,6,1]
[7,4,5,3,6,1,2]=>[2,6,4,3,7,5,1]
[7,4,5,3,6,2,1]=>[2,4,3,7,6,5,1]
[7,4,5,6,1,2,3]=>[5,2,6,3,7,4,1]
[7,4,5,6,1,3,2]=>[2,7,5,3,6,4,1]
[7,4,5,6,2,1,3]=>[2,6,5,3,7,4,1]
[7,4,5,6,2,3,1]=>[2,5,3,7,6,4,1]
[7,4,5,6,3,1,2]=>[2,6,3,7,5,4,1]
[7,4,5,6,3,2,1]=>[2,3,7,6,5,4,1]
[7,4,6,1,2,3,5]=>[4,5,2,6,7,3,1]
[7,4,6,1,2,5,3]=>[7,4,2,5,6,3,1]
[7,4,6,1,3,2,5]=>[6,4,2,5,7,3,1]
[7,4,6,1,3,5,2]=>[5,2,7,4,6,3,1]
[7,4,6,1,5,2,3]=>[6,2,7,4,5,3,1]
[7,4,6,1,5,3,2]=>[2,7,6,4,5,3,1]
[7,4,6,2,1,3,5]=>[5,4,2,6,7,3,1]
[7,4,6,2,1,5,3]=>[4,2,7,5,6,3,1]
[7,4,6,2,3,1,5]=>[4,2,6,5,7,3,1]
[7,4,6,2,3,5,1]=>[4,2,5,7,6,3,1]
[7,4,6,2,5,1,3]=>[4,2,6,7,5,3,1]
[7,4,6,2,5,3,1]=>[2,7,4,6,5,3,1]
[7,4,6,3,1,2,5]=>[5,2,6,4,7,3,1]
[7,4,6,3,1,5,2]=>[2,7,5,4,6,3,1]
[7,4,6,3,2,1,5]=>[2,6,5,4,7,3,1]
[7,4,6,3,2,5,1]=>[2,5,4,7,6,3,1]
[7,4,6,3,5,1,2]=>[2,6,4,7,5,3,1]
[7,4,6,3,5,2,1]=>[2,4,7,6,5,3,1]
[7,4,6,5,1,2,3]=>[5,2,6,7,4,3,1]
[7,4,6,5,1,3,2]=>[2,7,5,6,4,3,1]
[7,4,6,5,2,1,3]=>[2,6,5,7,4,3,1]
[7,4,6,5,2,3,1]=>[2,5,7,6,4,3,1]
[7,4,6,5,3,1,2]=>[2,6,7,5,4,3,1]
[7,4,6,5,3,2,1]=>[7,2,6,5,4,3,1]
[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]
[7,5,1,2,3,6,4]=>[7,3,4,5,2,6,1]
[7,5,1,2,4,3,6]=>[6,3,4,5,2,7,1]
[7,5,1,2,4,6,3]=>[5,7,3,4,2,6,1]
[7,5,1,2,6,3,4]=>[6,7,3,4,2,5,1]
[7,5,1,2,6,4,3]=>[7,6,3,4,2,5,1]
[7,5,1,3,2,4,6]=>[5,3,4,6,2,7,1]
[7,5,1,3,2,6,4]=>[4,7,3,5,2,6,1]
[7,5,1,3,4,2,6]=>[4,6,3,5,2,7,1]
[7,5,1,3,4,6,2]=>[4,5,7,3,2,6,1]
[7,5,1,3,6,2,4]=>[4,6,7,3,2,5,1]
[7,5,1,3,6,4,2]=>[7,4,6,3,2,5,1]
[7,5,1,4,2,3,6]=>[5,6,3,4,2,7,1]
[7,5,1,4,2,6,3]=>[7,5,3,4,2,6,1]
[7,5,1,4,3,2,6]=>[6,5,3,4,2,7,1]
[7,5,1,4,3,6,2]=>[5,4,7,3,2,6,1]
[7,5,1,4,6,2,3]=>[6,4,7,3,2,5,1]
[7,5,1,4,6,3,2]=>[4,7,6,3,2,5,1]
[7,5,1,6,2,3,4]=>[5,6,7,3,2,4,1]
[7,5,1,6,2,4,3]=>[7,5,6,3,2,4,1]
[7,5,1,6,3,2,4]=>[6,5,7,3,2,4,1]
[7,5,1,6,3,4,2]=>[5,7,6,3,2,4,1]
[7,5,1,6,4,2,3]=>[6,7,5,3,2,4,1]
[7,5,1,6,4,3,2]=>[7,6,5,3,2,4,1]
[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]
[7,5,2,1,3,6,4]=>[3,7,4,5,2,6,1]
[7,5,2,1,4,3,6]=>[3,6,4,5,2,7,1]
[7,5,2,1,4,6,3]=>[3,5,7,4,2,6,1]
[7,5,2,1,6,3,4]=>[3,6,7,4,2,5,1]
[7,5,2,1,6,4,3]=>[7,3,6,4,2,5,1]
[7,5,2,3,1,4,6]=>[3,5,4,6,2,7,1]
[7,5,2,3,1,6,4]=>[3,4,7,5,2,6,1]
[7,5,2,3,4,1,6]=>[3,4,6,5,2,7,1]
[7,5,2,3,4,6,1]=>[3,4,5,2,7,6,1]
[7,5,2,3,6,1,4]=>[3,4,6,2,7,5,1]
[7,5,2,3,6,4,1]=>[7,3,4,2,6,5,1]
[7,5,2,4,1,3,6]=>[3,5,6,4,2,7,1]
[7,5,2,4,1,6,3]=>[7,3,5,4,2,6,1]
[7,5,2,4,3,1,6]=>[6,3,5,4,2,7,1]
[7,5,2,4,3,6,1]=>[5,3,4,2,7,6,1]
[7,5,2,4,6,1,3]=>[6,3,4,2,7,5,1]
[7,5,2,4,6,3,1]=>[4,7,3,2,6,5,1]
[7,5,2,6,1,3,4]=>[3,5,6,2,7,4,1]
[7,5,2,6,1,4,3]=>[7,3,5,2,6,4,1]
[7,5,2,6,3,1,4]=>[6,3,5,2,7,4,1]
[7,5,2,6,3,4,1]=>[5,7,3,2,6,4,1]
[7,5,2,6,4,1,3]=>[6,7,3,2,5,4,1]
[7,5,2,6,4,3,1]=>[7,6,3,2,5,4,1]
[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]
[7,5,3,1,2,6,4]=>[7,4,3,5,2,6,1]
[7,5,3,1,4,2,6]=>[6,4,3,5,2,7,1]
[7,5,3,1,4,6,2]=>[5,3,7,4,2,6,1]
[7,5,3,1,6,2,4]=>[6,3,7,4,2,5,1]
[7,5,3,1,6,4,2]=>[3,7,6,4,2,5,1]
[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]
[7,5,3,2,1,6,4]=>[4,3,7,5,2,6,1]
[7,5,3,2,4,1,6]=>[4,3,6,5,2,7,1]
[7,5,3,2,4,6,1]=>[4,3,5,2,7,6,1]
[7,5,3,2,6,1,4]=>[4,3,6,2,7,5,1]
[7,5,3,2,6,4,1]=>[3,7,4,2,6,5,1]
[7,5,3,4,1,2,6]=>[5,3,6,4,2,7,1]
[7,5,3,4,1,6,2]=>[3,7,5,4,2,6,1]
[7,5,3,4,2,1,6]=>[3,6,5,4,2,7,1]
[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]
[7,5,3,4,6,1,2]=>[3,6,4,2,7,5,1]
[7,5,3,4,6,2,1]=>[3,4,2,7,6,5,1]
[7,5,3,6,1,2,4]=>[5,3,6,2,7,4,1]
[7,5,3,6,1,4,2]=>[3,7,5,2,6,4,1]
[7,5,3,6,2,1,4]=>[3,6,5,2,7,4,1]
[7,5,3,6,2,4,1]=>[3,5,2,7,6,4,1]
[7,5,3,6,4,1,2]=>[3,6,2,7,5,4,1]
[7,5,3,6,4,2,1]=>[7,3,2,6,5,4,1]
[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]
[7,5,4,1,2,6,3]=>[7,4,5,3,2,6,1]
[7,5,4,1,3,2,6]=>[6,4,5,3,2,7,1]
[7,5,4,1,3,6,2]=>[5,7,4,3,2,6,1]
[7,5,4,1,6,2,3]=>[6,7,4,3,2,5,1]
[7,5,4,1,6,3,2]=>[7,6,4,3,2,5,1]
[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]
[7,5,4,2,1,6,3]=>[4,7,5,3,2,6,1]
[7,5,4,2,3,1,6]=>[4,6,5,3,2,7,1]
[7,5,4,2,3,6,1]=>[4,5,3,2,7,6,1]
[7,5,4,2,6,1,3]=>[4,6,3,2,7,5,1]
[7,5,4,2,6,3,1]=>[7,4,3,2,6,5,1]
[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]
[7,5,4,3,1,6,2]=>[7,5,4,3,2,6,1]
[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]
[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]
[7,5,4,3,6,1,2]=>[6,4,3,2,7,5,1]
[7,5,4,3,6,2,1]=>[4,3,2,7,6,5,1]
[7,5,4,6,1,2,3]=>[5,6,3,2,7,4,1]
[7,5,4,6,1,3,2]=>[7,5,3,2,6,4,1]
[7,5,4,6,2,1,3]=>[6,5,3,2,7,4,1]
[7,5,4,6,2,3,1]=>[5,3,2,7,6,4,1]
[7,5,4,6,3,1,2]=>[6,3,2,7,5,4,1]
[7,5,4,6,3,2,1]=>[3,2,7,6,5,4,1]
[7,5,6,1,2,3,4]=>[4,5,6,2,7,3,1]
[7,5,6,1,2,4,3]=>[7,4,5,2,6,3,1]
[7,5,6,1,3,2,4]=>[6,4,5,2,7,3,1]
[7,5,6,1,3,4,2]=>[5,7,4,2,6,3,1]
[7,5,6,1,4,2,3]=>[6,7,4,2,5,3,1]
[7,5,6,1,4,3,2]=>[7,6,4,2,5,3,1]
[7,5,6,2,1,3,4]=>[5,4,6,2,7,3,1]
[7,5,6,2,1,4,3]=>[4,7,5,2,6,3,1]
[7,5,6,2,3,1,4]=>[4,6,5,2,7,3,1]
[7,5,6,2,3,4,1]=>[4,5,2,7,6,3,1]
[7,5,6,2,4,1,3]=>[4,6,2,7,5,3,1]
[7,5,6,2,4,3,1]=>[7,4,2,6,5,3,1]
[7,5,6,3,1,2,4]=>[5,6,4,2,7,3,1]
[7,5,6,3,1,4,2]=>[7,5,4,2,6,3,1]
[7,5,6,3,2,1,4]=>[6,5,4,2,7,3,1]
[7,5,6,3,2,4,1]=>[5,4,2,7,6,3,1]
[7,5,6,3,4,1,2]=>[6,4,2,7,5,3,1]
[7,5,6,3,4,2,1]=>[4,2,7,6,5,3,1]
[7,5,6,4,1,2,3]=>[5,6,2,7,4,3,1]
[7,5,6,4,1,3,2]=>[7,5,2,6,4,3,1]
[7,5,6,4,2,1,3]=>[6,5,2,7,4,3,1]
[7,5,6,4,2,3,1]=>[5,2,7,6,4,3,1]
[7,5,6,4,3,1,2]=>[6,2,7,5,4,3,1]
[7,5,6,4,3,2,1]=>[2,7,6,5,4,3,1]
[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]
[7,6,1,2,3,5,4]=>[7,3,4,5,6,2,1]
[7,6,1,2,4,3,5]=>[6,3,4,5,7,2,1]
[7,6,1,2,4,5,3]=>[5,7,3,4,6,2,1]
[7,6,1,2,5,3,4]=>[6,7,3,4,5,2,1]
[7,6,1,2,5,4,3]=>[7,6,3,4,5,2,1]
[7,6,1,3,2,4,5]=>[5,3,4,6,7,2,1]
[7,6,1,3,2,5,4]=>[4,7,3,5,6,2,1]
[7,6,1,3,4,2,5]=>[4,6,3,5,7,2,1]
[7,6,1,3,4,5,2]=>[4,5,7,3,6,2,1]
[7,6,1,3,5,2,4]=>[4,6,7,3,5,2,1]
[7,6,1,3,5,4,2]=>[7,4,6,3,5,2,1]
[7,6,1,4,2,3,5]=>[5,6,3,4,7,2,1]
[7,6,1,4,2,5,3]=>[7,5,3,4,6,2,1]
[7,6,1,4,3,2,5]=>[6,5,3,4,7,2,1]
[7,6,1,4,3,5,2]=>[5,4,7,3,6,2,1]
[7,6,1,4,5,2,3]=>[6,4,7,3,5,2,1]
[7,6,1,4,5,3,2]=>[4,7,6,3,5,2,1]
[7,6,1,5,2,3,4]=>[5,6,7,3,4,2,1]
[7,6,1,5,2,4,3]=>[7,5,6,3,4,2,1]
[7,6,1,5,3,2,4]=>[6,5,7,3,4,2,1]
[7,6,1,5,3,4,2]=>[5,7,6,3,4,2,1]
[7,6,1,5,4,2,3]=>[6,7,5,3,4,2,1]
[7,6,1,5,4,3,2]=>[7,6,5,3,4,2,1]
[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]
[7,6,2,1,3,5,4]=>[3,7,4,5,6,2,1]
[7,6,2,1,4,3,5]=>[3,6,4,5,7,2,1]
[7,6,2,1,4,5,3]=>[3,5,7,4,6,2,1]
[7,6,2,1,5,3,4]=>[3,6,7,4,5,2,1]
[7,6,2,1,5,4,3]=>[7,3,6,4,5,2,1]
[7,6,2,3,1,4,5]=>[3,5,4,6,7,2,1]
[7,6,2,3,1,5,4]=>[3,4,7,5,6,2,1]
[7,6,2,3,4,1,5]=>[3,4,6,5,7,2,1]
[7,6,2,3,4,5,1]=>[3,4,5,7,6,2,1]
[7,6,2,3,5,1,4]=>[3,4,6,7,5,2,1]
[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1]
[7,6,2,4,1,3,5]=>[3,5,6,4,7,2,1]
[7,6,2,4,1,5,3]=>[7,3,5,4,6,2,1]
[7,6,2,4,3,1,5]=>[6,3,5,4,7,2,1]
[7,6,2,4,3,5,1]=>[5,3,4,7,6,2,1]
[7,6,2,4,5,1,3]=>[6,3,4,7,5,2,1]
[7,6,2,4,5,3,1]=>[4,7,3,6,5,2,1]
[7,6,2,5,1,3,4]=>[3,5,6,7,4,2,1]
[7,6,2,5,1,4,3]=>[7,3,5,6,4,2,1]
[7,6,2,5,3,1,4]=>[6,3,5,7,4,2,1]
[7,6,2,5,3,4,1]=>[5,7,3,6,4,2,1]
[7,6,2,5,4,1,3]=>[6,7,3,5,4,2,1]
[7,6,2,5,4,3,1]=>[7,6,3,5,4,2,1]
[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]
[7,6,3,1,2,5,4]=>[7,4,3,5,6,2,1]
[7,6,3,1,4,2,5]=>[6,4,3,5,7,2,1]
[7,6,3,1,4,5,2]=>[5,3,7,4,6,2,1]
[7,6,3,1,5,2,4]=>[6,3,7,4,5,2,1]
[7,6,3,1,5,4,2]=>[3,7,6,4,5,2,1]
[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]
[7,6,3,2,1,5,4]=>[4,3,7,5,6,2,1]
[7,6,3,2,4,1,5]=>[4,3,6,5,7,2,1]
[7,6,3,2,4,5,1]=>[4,3,5,7,6,2,1]
[7,6,3,2,5,1,4]=>[4,3,6,7,5,2,1]
[7,6,3,2,5,4,1]=>[3,7,4,6,5,2,1]
[7,6,3,4,1,2,5]=>[5,3,6,4,7,2,1]
[7,6,3,4,1,5,2]=>[3,7,5,4,6,2,1]
[7,6,3,4,2,1,5]=>[3,6,5,4,7,2,1]
[7,6,3,4,2,5,1]=>[3,5,4,7,6,2,1]
[7,6,3,4,5,1,2]=>[3,6,4,7,5,2,1]
[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]
[7,6,3,5,1,2,4]=>[5,3,6,7,4,2,1]
[7,6,3,5,1,4,2]=>[3,7,5,6,4,2,1]
[7,6,3,5,2,1,4]=>[3,6,5,7,4,2,1]
[7,6,3,5,2,4,1]=>[3,5,7,6,4,2,1]
[7,6,3,5,4,1,2]=>[3,6,7,5,4,2,1]
[7,6,3,5,4,2,1]=>[7,3,6,5,4,2,1]
[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]
[7,6,4,1,2,5,3]=>[7,4,5,3,6,2,1]
[7,6,4,1,3,2,5]=>[6,4,5,3,7,2,1]
[7,6,4,1,3,5,2]=>[5,7,4,3,6,2,1]
[7,6,4,1,5,2,3]=>[6,7,4,3,5,2,1]
[7,6,4,1,5,3,2]=>[7,6,4,3,5,2,1]
[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]
[7,6,4,2,1,5,3]=>[4,7,5,3,6,2,1]
[7,6,4,2,3,1,5]=>[4,6,5,3,7,2,1]
[7,6,4,2,3,5,1]=>[4,5,3,7,6,2,1]
[7,6,4,2,5,1,3]=>[4,6,3,7,5,2,1]
[7,6,4,2,5,3,1]=>[7,4,3,6,5,2,1]
[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]
[7,6,4,3,1,5,2]=>[7,5,4,3,6,2,1]
[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]
[7,6,4,3,2,5,1]=>[5,4,3,7,6,2,1]
[7,6,4,3,5,1,2]=>[6,4,3,7,5,2,1]
[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]
[7,6,4,5,1,2,3]=>[5,6,3,7,4,2,1]
[7,6,4,5,1,3,2]=>[7,5,3,6,4,2,1]
[7,6,4,5,2,1,3]=>[6,5,3,7,4,2,1]
[7,6,4,5,2,3,1]=>[5,3,7,6,4,2,1]
[7,6,4,5,3,1,2]=>[6,3,7,5,4,2,1]
[7,6,4,5,3,2,1]=>[3,7,6,5,4,2,1]
[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]
[7,6,5,1,2,4,3]=>[7,4,5,6,3,2,1]
[7,6,5,1,3,2,4]=>[6,4,5,7,3,2,1]
[7,6,5,1,3,4,2]=>[5,7,4,6,3,2,1]
[7,6,5,1,4,2,3]=>[6,7,4,5,3,2,1]
[7,6,5,1,4,3,2]=>[7,6,4,5,3,2,1]
[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]
[7,6,5,2,1,4,3]=>[4,7,5,6,3,2,1]
[7,6,5,2,3,1,4]=>[4,6,5,7,3,2,1]
[7,6,5,2,3,4,1]=>[4,5,7,6,3,2,1]
[7,6,5,2,4,1,3]=>[4,6,7,5,3,2,1]
[7,6,5,2,4,3,1]=>[7,4,6,5,3,2,1]
[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]
[7,6,5,3,1,4,2]=>[7,5,4,6,3,2,1]
[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]
[7,6,5,3,2,4,1]=>[5,4,7,6,3,2,1]
[7,6,5,3,4,1,2]=>[6,4,7,5,3,2,1]
[7,6,5,3,4,2,1]=>[4,7,6,5,3,2,1]
[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]
[7,6,5,4,1,3,2]=>[7,5,6,4,3,2,1]
[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]
[7,6,5,4,2,3,1]=>[5,7,6,4,3,2,1]
[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]
[7,8,6,5,4,3,2,1]=>[1,8,7,6,5,4,3,2]
[8,6,7,5,4,3,2,1]=>[2,8,7,6,5,4,3,1]
[7,6,8,5,4,3,2,1]=>[2,1,8,7,6,5,4,3]
[6,7,8,5,4,3,2,1]=>[1,2,8,7,6,5,4,3]
[8,7,5,6,4,3,2,1]=>[3,8,7,6,5,4,2,1]
[7,8,5,6,4,3,2,1]=>[3,1,8,7,6,5,4,2]
[8,6,5,7,4,3,2,1]=>[3,2,8,7,6,5,4,1]
[8,5,6,7,4,3,2,1]=>[2,3,8,7,6,5,4,1]
[7,6,5,8,4,3,2,1]=>[3,2,1,8,7,6,5,4]
[6,7,5,8,4,3,2,1]=>[1,3,2,8,7,6,5,4]
[7,5,6,8,4,3,2,1]=>[2,3,1,8,7,6,5,4]
[6,5,7,8,4,3,2,1]=>[2,1,3,8,7,6,5,4]
[5,6,7,8,4,3,2,1]=>[1,2,3,8,7,6,5,4]
[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]
[7,8,6,4,5,3,2,1]=>[4,1,8,7,6,5,3,2]
[8,6,7,4,5,3,2,1]=>[4,2,8,7,6,5,3,1]
[7,6,8,4,5,3,2,1]=>[4,2,1,8,7,6,5,3]
[6,7,8,4,5,3,2,1]=>[1,4,2,8,7,6,5,3]
[8,7,5,4,6,3,2,1]=>[4,3,8,7,6,5,2,1]
[8,7,4,5,6,3,2,1]=>[3,4,8,7,6,5,2,1]
[8,6,5,4,7,3,2,1]=>[4,3,2,8,7,6,5,1]
[8,5,6,4,7,3,2,1]=>[2,4,3,8,7,6,5,1]
[8,6,4,5,7,3,2,1]=>[3,4,2,8,7,6,5,1]
[8,5,4,6,7,3,2,1]=>[3,2,4,8,7,6,5,1]
[8,4,5,6,7,3,2,1]=>[2,3,4,8,7,6,5,1]
[7,6,5,4,8,3,2,1]=>[4,3,2,1,8,7,6,5]
[6,7,5,4,8,3,2,1]=>[1,4,3,2,8,7,6,5]
[7,5,6,4,8,3,2,1]=>[2,4,3,1,8,7,6,5]
[6,5,7,4,8,3,2,1]=>[2,1,4,3,8,7,6,5]
[5,6,7,4,8,3,2,1]=>[1,2,4,3,8,7,6,5]
[7,6,4,5,8,3,2,1]=>[3,4,2,1,8,7,6,5]
[6,7,4,5,8,3,2,1]=>[3,1,4,2,8,7,6,5]
[7,5,4,6,8,3,2,1]=>[3,2,4,1,8,7,6,5]
[7,4,5,6,8,3,2,1]=>[2,3,4,1,8,7,6,5]
[6,5,4,7,8,3,2,1]=>[3,2,1,4,8,7,6,5]
[5,6,4,7,8,3,2,1]=>[1,3,2,4,8,7,6,5]
[6,4,5,7,8,3,2,1]=>[2,3,1,4,8,7,6,5]
[5,4,6,7,8,3,2,1]=>[2,1,3,4,8,7,6,5]
[4,5,6,7,8,3,2,1]=>[1,2,3,4,8,7,6,5]
[8,7,6,5,3,4,2,1]=>[5,8,7,6,4,3,2,1]
[7,8,6,5,3,4,2,1]=>[5,1,8,7,6,4,3,2]
[8,6,7,5,3,4,2,1]=>[5,2,8,7,6,4,3,1]
[7,6,8,5,3,4,2,1]=>[5,2,1,8,7,6,4,3]
[8,7,5,6,3,4,2,1]=>[5,3,8,7,6,4,2,1]
[7,8,5,6,3,4,2,1]=>[5,3,1,8,7,6,4,2]
[8,5,6,7,3,4,2,1]=>[2,5,3,8,7,6,4,1]
[7,6,5,8,3,4,2,1]=>[5,3,2,1,8,7,6,4]
[6,7,5,8,3,4,2,1]=>[1,5,3,2,8,7,6,4]
[6,5,7,8,3,4,2,1]=>[2,1,5,3,8,7,6,4]
[5,6,7,8,3,4,2,1]=>[1,2,5,3,8,7,6,4]
[8,7,6,4,3,5,2,1]=>[5,4,8,7,6,3,2,1]
[7,8,6,4,3,5,2,1]=>[5,4,1,8,7,6,3,2]
[8,6,7,4,3,5,2,1]=>[5,4,2,8,7,6,3,1]
[7,6,8,4,3,5,2,1]=>[5,4,2,1,8,7,6,3]
[6,7,8,4,3,5,2,1]=>[1,5,4,2,8,7,6,3]
[8,7,6,3,4,5,2,1]=>[4,5,8,7,6,3,2,1]
[7,8,6,3,4,5,2,1]=>[4,5,1,8,7,6,3,2]
[8,6,7,3,4,5,2,1]=>[4,5,2,8,7,6,3,1]
[7,6,8,3,4,5,2,1]=>[4,5,2,1,8,7,6,3]
[6,7,8,3,4,5,2,1]=>[4,1,5,2,8,7,6,3]
[8,7,5,4,3,6,2,1]=>[5,4,3,8,7,6,2,1]
[7,8,5,4,3,6,2,1]=>[5,4,3,1,8,7,6,2]
[8,7,4,5,3,6,2,1]=>[3,5,4,8,7,6,2,1]
[8,7,5,3,4,6,2,1]=>[4,5,3,8,7,6,2,1]
[7,8,5,3,4,6,2,1]=>[4,5,3,1,8,7,6,2]
[8,7,4,3,5,6,2,1]=>[4,3,5,8,7,6,2,1]
[8,7,3,4,5,6,2,1]=>[3,4,5,8,7,6,2,1]
[7,8,3,4,5,6,2,1]=>[3,4,5,1,8,7,6,2]
[8,6,5,4,3,7,2,1]=>[5,4,3,2,8,7,6,1]
[8,6,4,5,3,7,2,1]=>[3,5,4,2,8,7,6,1]
[8,5,4,6,3,7,2,1]=>[3,2,5,4,8,7,6,1]
[8,6,4,3,5,7,2,1]=>[4,3,5,2,8,7,6,1]
[8,5,4,3,6,7,2,1]=>[4,3,2,5,8,7,6,1]
[8,5,3,4,6,7,2,1]=>[3,4,2,5,8,7,6,1]
[8,4,3,5,6,7,2,1]=>[3,2,4,5,8,7,6,1]
[8,3,4,5,6,7,2,1]=>[2,3,4,5,8,7,6,1]
[7,6,5,4,3,8,2,1]=>[5,4,3,2,1,8,7,6]
[6,7,5,4,3,8,2,1]=>[1,5,4,3,2,8,7,6]
[7,5,6,4,3,8,2,1]=>[2,5,4,3,1,8,7,6]
[6,5,7,4,3,8,2,1]=>[2,1,5,4,3,8,7,6]
[5,6,7,4,3,8,2,1]=>[1,2,5,4,3,8,7,6]
[7,6,4,5,3,8,2,1]=>[3,5,4,2,1,8,7,6]
[6,7,4,5,3,8,2,1]=>[3,1,5,4,2,8,7,6]
[7,5,4,6,3,8,2,1]=>[3,2,5,4,1,8,7,6]
[7,4,5,6,3,8,2,1]=>[2,3,5,4,1,8,7,6]
[6,5,4,7,3,8,2,1]=>[3,2,1,5,4,8,7,6]
[6,4,5,7,3,8,2,1]=>[2,3,1,5,4,8,7,6]
[5,4,6,7,3,8,2,1]=>[2,1,3,5,4,8,7,6]
[4,5,6,7,3,8,2,1]=>[1,2,3,5,4,8,7,6]
[7,6,5,3,4,8,2,1]=>[4,5,3,2,1,8,7,6]
[7,6,4,3,5,8,2,1]=>[4,3,5,2,1,8,7,6]
[7,6,3,4,5,8,2,1]=>[3,4,5,2,1,8,7,6]
[7,5,4,3,6,8,2,1]=>[4,3,2,5,1,8,7,6]
[7,5,3,4,6,8,2,1]=>[3,4,2,5,1,8,7,6]
[7,3,4,5,6,8,2,1]=>[2,3,4,5,1,8,7,6]
[6,5,4,3,7,8,2,1]=>[4,3,2,1,5,8,7,6]
[4,5,6,3,7,8,2,1]=>[1,2,4,3,5,8,7,6]
[6,5,3,4,7,8,2,1]=>[3,4,2,1,5,8,7,6]
[6,3,4,5,7,8,2,1]=>[2,3,4,1,5,8,7,6]
[5,4,3,6,7,8,2,1]=>[3,2,1,4,5,8,7,6]
[5,3,4,6,7,8,2,1]=>[2,3,1,4,5,8,7,6]
[4,3,5,6,7,8,2,1]=>[2,1,3,4,5,8,7,6]
[3,4,5,6,7,8,2,1]=>[1,2,3,4,5,8,7,6]
[8,7,6,5,4,2,3,1]=>[6,8,7,5,4,3,2,1]
[7,8,6,5,4,2,3,1]=>[6,1,8,7,5,4,3,2]
[8,6,7,5,4,2,3,1]=>[6,2,8,7,5,4,3,1]
[7,6,8,5,4,2,3,1]=>[6,2,1,8,7,5,4,3]
[8,7,5,6,4,2,3,1]=>[6,3,8,7,5,4,2,1]
[8,6,5,7,4,2,3,1]=>[6,3,2,8,7,5,4,1]
[8,5,6,7,4,2,3,1]=>[2,6,3,8,7,5,4,1]
[7,6,5,8,4,2,3,1]=>[6,3,2,1,8,7,5,4]
[6,7,5,8,4,2,3,1]=>[1,6,3,2,8,7,5,4]
[7,5,6,8,4,2,3,1]=>[2,6,3,1,8,7,5,4]
[5,6,7,8,4,2,3,1]=>[1,2,6,3,8,7,5,4]
[8,7,6,4,5,2,3,1]=>[6,4,8,7,5,3,2,1]
[8,6,7,4,5,2,3,1]=>[6,4,2,8,7,5,3,1]
[7,6,8,4,5,2,3,1]=>[6,4,2,1,8,7,5,3]
[6,7,8,4,5,2,3,1]=>[1,6,4,2,8,7,5,3]
[8,7,5,4,6,2,3,1]=>[6,4,3,8,7,5,2,1]
[8,7,4,5,6,2,3,1]=>[3,6,4,8,7,5,2,1]
[8,6,5,4,7,2,3,1]=>[6,4,3,2,8,7,5,1]
[8,5,6,4,7,2,3,1]=>[2,6,4,3,8,7,5,1]
[8,6,4,5,7,2,3,1]=>[3,6,4,2,8,7,5,1]
[8,4,5,6,7,2,3,1]=>[2,3,6,4,8,7,5,1]
[7,6,5,4,8,2,3,1]=>[6,4,3,2,1,8,7,5]
[7,5,6,4,8,2,3,1]=>[2,6,4,3,1,8,7,5]
[6,5,7,4,8,2,3,1]=>[2,1,6,4,3,8,7,5]
[7,6,4,5,8,2,3,1]=>[3,6,4,2,1,8,7,5]
[6,7,4,5,8,2,3,1]=>[3,1,6,4,2,8,7,5]
[4,5,6,7,8,2,3,1]=>[1,2,3,6,4,8,7,5]
[8,7,6,5,3,2,4,1]=>[6,5,8,7,4,3,2,1]
[7,8,6,5,3,2,4,1]=>[6,5,1,8,7,4,3,2]
[8,6,7,5,3,2,4,1]=>[6,5,2,8,7,4,3,1]
[7,6,8,5,3,2,4,1]=>[6,5,2,1,8,7,4,3]
[6,7,8,5,3,2,4,1]=>[1,6,5,2,8,7,4,3]
[8,7,5,6,3,2,4,1]=>[6,5,3,8,7,4,2,1]
[8,6,5,7,3,2,4,1]=>[6,5,3,2,8,7,4,1]
[8,5,6,7,3,2,4,1]=>[2,6,5,3,8,7,4,1]
[7,6,5,8,3,2,4,1]=>[6,5,3,2,1,8,7,4]
[6,7,5,8,3,2,4,1]=>[1,6,5,3,2,8,7,4]
[5,6,7,8,3,2,4,1]=>[1,2,6,5,3,8,7,4]
[8,7,6,5,2,3,4,1]=>[5,6,8,7,4,3,2,1]
[8,6,7,5,2,3,4,1]=>[5,6,2,8,7,4,3,1]
[7,6,8,5,2,3,4,1]=>[5,6,2,1,8,7,4,3]
[6,7,8,5,2,3,4,1]=>[5,1,6,2,8,7,4,3]
[8,7,5,6,2,3,4,1]=>[5,6,3,8,7,4,2,1]
[7,8,5,6,2,3,4,1]=>[5,6,3,1,8,7,4,2]
[8,6,5,7,2,3,4,1]=>[5,6,3,2,8,7,4,1]
[8,5,6,7,2,3,4,1]=>[5,2,6,3,8,7,4,1]
[7,6,5,8,2,3,4,1]=>[5,6,3,2,1,8,7,4]
[6,7,5,8,2,3,4,1]=>[5,1,6,3,2,8,7,4]
[6,5,7,8,2,3,4,1]=>[5,2,1,6,3,8,7,4]
[5,6,7,8,2,3,4,1]=>[1,5,2,6,3,8,7,4]
[8,7,6,4,3,2,5,1]=>[6,5,4,8,7,3,2,1]
[7,8,6,4,3,2,5,1]=>[6,5,4,1,8,7,3,2]
[8,6,7,4,3,2,5,1]=>[6,5,4,2,8,7,3,1]
[7,6,8,4,3,2,5,1]=>[6,5,4,2,1,8,7,3]
[6,7,8,4,3,2,5,1]=>[1,6,5,4,2,8,7,3]
[8,7,6,3,4,2,5,1]=>[4,6,5,8,7,3,2,1]
[7,8,6,3,4,2,5,1]=>[4,6,5,1,8,7,3,2]
[8,6,7,3,4,2,5,1]=>[4,6,5,2,8,7,3,1]
[7,6,8,3,4,2,5,1]=>[4,6,5,2,1,8,7,3]
[6,7,8,3,4,2,5,1]=>[4,1,6,5,2,8,7,3]
[8,7,6,4,2,3,5,1]=>[5,6,4,8,7,3,2,1]
[8,6,7,4,2,3,5,1]=>[5,6,4,2,8,7,3,1]
[7,6,8,4,2,3,5,1]=>[5,6,4,2,1,8,7,3]
[6,7,8,4,2,3,5,1]=>[5,1,6,4,2,8,7,3]
[8,7,6,3,2,4,5,1]=>[5,4,6,8,7,3,2,1]
[7,8,6,3,2,4,5,1]=>[5,4,6,1,8,7,3,2]
[8,6,7,3,2,4,5,1]=>[5,4,6,2,8,7,3,1]
[6,7,8,3,2,4,5,1]=>[5,4,1,6,2,8,7,3]
[8,7,6,2,3,4,5,1]=>[4,5,6,8,7,3,2,1]
[7,8,6,2,3,4,5,1]=>[4,5,6,1,8,7,3,2]
[8,6,7,2,3,4,5,1]=>[4,5,6,2,8,7,3,1]
[7,6,8,2,3,4,5,1]=>[4,5,6,2,1,8,7,3]
[6,7,8,2,3,4,5,1]=>[4,5,1,6,2,8,7,3]
[8,7,5,4,3,2,6,1]=>[6,5,4,3,8,7,2,1]
[7,8,5,4,3,2,6,1]=>[6,5,4,3,1,8,7,2]
[8,7,5,3,4,2,6,1]=>[4,6,5,3,8,7,2,1]
[7,8,5,3,4,2,6,1]=>[4,6,5,3,1,8,7,2]
[8,7,4,3,5,2,6,1]=>[4,3,6,5,8,7,2,1]
[7,8,4,3,5,2,6,1]=>[4,3,6,5,1,8,7,2]
[8,7,5,4,2,3,6,1]=>[5,6,4,3,8,7,2,1]
[8,7,5,3,2,4,6,1]=>[5,4,6,3,8,7,2,1]
[8,7,4,3,2,5,6,1]=>[5,4,3,6,8,7,2,1]
[7,8,4,3,2,5,6,1]=>[5,4,3,6,1,8,7,2]
[7,8,3,4,2,5,6,1]=>[3,5,4,6,1,8,7,2]
[7,8,4,2,3,5,6,1]=>[4,5,3,6,1,8,7,2]
[7,8,3,2,4,5,6,1]=>[4,3,5,6,1,8,7,2]
[8,7,2,3,4,5,6,1]=>[3,4,5,6,8,7,2,1]
[7,8,2,3,4,5,6,1]=>[3,4,5,6,1,8,7,2]
[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]
[8,5,6,4,3,2,7,1]=>[2,6,5,4,3,8,7,1]
[8,6,4,5,3,2,7,1]=>[3,6,5,4,2,8,7,1]
[8,5,4,6,3,2,7,1]=>[3,2,6,5,4,8,7,1]
[8,6,5,3,4,2,7,1]=>[4,6,5,3,2,8,7,1]
[8,5,6,3,4,2,7,1]=>[4,2,6,5,3,8,7,1]
[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]
[8,6,3,4,5,2,7,1]=>[3,4,6,5,2,8,7,1]
[8,5,4,3,6,2,7,1]=>[4,3,2,6,5,8,7,1]
[8,4,5,3,6,2,7,1]=>[2,4,3,6,5,8,7,1]
[8,4,3,5,6,2,7,1]=>[3,2,4,6,5,8,7,1]
[8,3,4,5,6,2,7,1]=>[2,3,4,6,5,8,7,1]
[8,6,5,4,2,3,7,1]=>[5,6,4,3,2,8,7,1]
[8,5,6,4,2,3,7,1]=>[5,2,6,4,3,8,7,1]
[8,6,4,5,2,3,7,1]=>[5,3,6,4,2,8,7,1]
[8,6,5,3,2,4,7,1]=>[5,4,6,3,2,8,7,1]
[8,6,4,3,2,5,7,1]=>[5,4,3,6,2,8,7,1]
[8,6,4,2,3,5,7,1]=>[4,5,3,6,2,8,7,1]
[8,6,2,3,4,5,7,1]=>[3,4,5,6,2,8,7,1]
[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]
[8,4,5,3,2,6,7,1]=>[2,5,4,3,6,8,7,1]
[8,5,3,4,2,6,7,1]=>[3,5,4,2,6,8,7,1]
[8,3,4,5,2,6,7,1]=>[2,3,5,4,6,8,7,1]
[8,5,4,2,3,6,7,1]=>[4,5,3,2,6,8,7,1]
[8,4,5,2,3,6,7,1]=>[4,2,5,3,6,8,7,1]
[8,5,2,3,4,6,7,1]=>[3,4,5,2,6,8,7,1]
[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]
[8,3,4,2,5,6,7,1]=>[2,4,3,5,6,8,7,1]
[8,4,2,3,5,6,7,1]=>[3,4,2,5,6,8,7,1]
[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,8,7,1]
[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,7,1]
[7,6,5,4,3,2,8,1]=>[6,5,4,3,2,1,8,7]
[6,7,5,4,3,2,8,1]=>[1,6,5,4,3,2,8,7]
[7,5,6,4,3,2,8,1]=>[2,6,5,4,3,1,8,7]
[6,5,7,4,3,2,8,1]=>[2,1,6,5,4,3,8,7]
[5,6,7,4,3,2,8,1]=>[1,2,6,5,4,3,8,7]
[7,6,4,5,3,2,8,1]=>[3,6,5,4,2,1,8,7]
[7,4,5,6,3,2,8,1]=>[2,3,6,5,4,1,8,7]
[6,5,4,7,3,2,8,1]=>[3,2,1,6,5,4,8,7]
[6,4,5,7,3,2,8,1]=>[2,3,1,6,5,4,8,7]
[4,5,6,7,3,2,8,1]=>[1,2,3,6,5,4,8,7]
[7,6,5,3,4,2,8,1]=>[4,6,5,3,2,1,8,7]
[7,5,6,3,4,2,8,1]=>[4,2,6,5,3,1,8,7]
[6,5,7,3,4,2,8,1]=>[4,2,1,6,5,3,8,7]
[5,6,7,3,4,2,8,1]=>[1,4,2,6,5,3,8,7]
[7,6,4,3,5,2,8,1]=>[4,3,6,5,2,1,8,7]
[7,6,3,4,5,2,8,1]=>[3,4,6,5,2,1,8,7]
[7,5,4,3,6,2,8,1]=>[4,3,2,6,5,1,8,7]
[7,4,5,3,6,2,8,1]=>[2,4,3,6,5,1,8,7]
[7,5,3,4,6,2,8,1]=>[3,4,2,6,5,1,8,7]
[7,3,4,5,6,2,8,1]=>[2,3,4,6,5,1,8,7]
[6,5,4,3,7,2,8,1]=>[4,3,2,1,6,5,8,7]
[6,4,5,3,7,2,8,1]=>[2,4,3,1,6,5,8,7]
[5,4,6,3,7,2,8,1]=>[2,1,4,3,6,5,8,7]
[4,5,6,3,7,2,8,1]=>[1,2,4,3,6,5,8,7]
[6,5,3,4,7,2,8,1]=>[3,4,2,1,6,5,8,7]
[5,6,3,4,7,2,8,1]=>[3,1,4,2,6,5,8,7]
[6,4,3,5,7,2,8,1]=>[3,2,4,1,6,5,8,7]
[5,4,3,6,7,2,8,1]=>[3,2,1,4,6,5,8,7]
[4,5,3,6,7,2,8,1]=>[1,3,2,4,6,5,8,7]
[4,3,5,6,7,2,8,1]=>[2,1,3,4,6,5,8,7]
[3,4,5,6,7,2,8,1]=>[1,2,3,4,6,5,8,7]
[7,6,5,4,2,3,8,1]=>[5,6,4,3,2,1,8,7]
[6,7,5,4,2,3,8,1]=>[5,1,6,4,3,2,8,7]
[7,5,6,4,2,3,8,1]=>[5,2,6,4,3,1,8,7]
[6,5,7,4,2,3,8,1]=>[5,2,1,6,4,3,8,7]
[5,6,7,4,2,3,8,1]=>[1,5,2,6,4,3,8,7]
[7,6,4,5,2,3,8,1]=>[5,3,6,4,2,1,8,7]
[6,7,4,5,2,3,8,1]=>[5,3,1,6,4,2,8,7]
[7,5,4,6,2,3,8,1]=>[5,3,2,6,4,1,8,7]
[7,4,5,6,2,3,8,1]=>[2,5,3,6,4,1,8,7]
[6,5,4,7,2,3,8,1]=>[5,3,2,1,6,4,8,7]
[5,6,4,7,2,3,8,1]=>[1,5,3,2,6,4,8,7]
[6,4,5,7,2,3,8,1]=>[2,5,3,1,6,4,8,7]
[5,4,6,7,2,3,8,1]=>[2,1,5,3,6,4,8,7]
[4,5,6,7,2,3,8,1]=>[1,2,5,3,6,4,8,7]
[7,6,5,3,2,4,8,1]=>[5,4,6,3,2,1,8,7]
[6,7,5,3,2,4,8,1]=>[5,4,1,6,3,2,8,7]
[6,5,7,3,2,4,8,1]=>[5,4,2,1,6,3,8,7]
[7,6,5,2,3,4,8,1]=>[4,5,6,3,2,1,8,7]
[5,6,7,2,3,4,8,1]=>[4,1,5,2,6,3,8,7]
[6,7,4,3,2,5,8,1]=>[5,4,3,1,6,2,8,7]
[7,6,3,2,4,5,8,1]=>[4,3,5,6,2,1,8,7]
[6,7,3,2,4,5,8,1]=>[4,3,5,1,6,2,8,7]
[7,6,2,3,4,5,8,1]=>[3,4,5,6,2,1,8,7]
[6,7,2,3,4,5,8,1]=>[3,4,5,1,6,2,8,7]
[7,5,4,3,2,6,8,1]=>[5,4,3,2,6,1,8,7]
[7,4,3,5,2,6,8,1]=>[3,2,5,4,6,1,8,7]
[7,5,4,2,3,6,8,1]=>[4,5,3,2,6,1,8,7]
[7,4,5,2,3,6,8,1]=>[4,2,5,3,6,1,8,7]
[7,5,3,2,4,6,8,1]=>[4,3,5,2,6,1,8,7]
[7,5,2,3,4,6,8,1]=>[3,4,5,2,6,1,8,7]
[7,4,3,2,5,6,8,1]=>[4,3,2,5,6,1,8,7]
[7,4,2,3,5,6,8,1]=>[3,4,2,5,6,1,8,7]
[7,3,2,4,5,6,8,1]=>[3,2,4,5,6,1,8,7]
[7,2,3,4,5,6,8,1]=>[2,3,4,5,6,1,8,7]
[6,5,4,3,2,7,8,1]=>[5,4,3,2,1,6,8,7]
[5,4,6,3,2,7,8,1]=>[2,1,5,4,3,6,8,7]
[4,5,6,3,2,7,8,1]=>[1,2,5,4,3,6,8,7]
[6,5,3,4,2,7,8,1]=>[3,5,4,2,1,6,8,7]
[6,3,4,5,2,7,8,1]=>[2,3,5,4,1,6,8,7]
[5,4,3,6,2,7,8,1]=>[3,2,1,5,4,6,8,7]
[4,3,5,6,2,7,8,1]=>[2,1,3,5,4,6,8,7]
[3,4,5,6,2,7,8,1]=>[1,2,3,5,4,6,8,7]
[6,5,4,2,3,7,8,1]=>[4,5,3,2,1,6,8,7]
[5,6,4,2,3,7,8,1]=>[4,1,5,3,2,6,8,7]
[6,4,5,2,3,7,8,1]=>[4,2,5,3,1,6,8,7]
[5,4,6,2,3,7,8,1]=>[4,2,1,5,3,6,8,7]
[4,5,6,2,3,7,8,1]=>[1,4,2,5,3,6,8,7]
[6,5,3,2,4,7,8,1]=>[4,3,5,2,1,6,8,7]
[6,5,2,3,4,7,8,1]=>[3,4,5,2,1,6,8,7]
[5,6,2,3,4,7,8,1]=>[3,4,1,5,2,6,8,7]
[6,2,3,4,5,7,8,1]=>[2,3,4,5,1,6,8,7]
[5,4,3,2,6,7,8,1]=>[4,3,2,1,5,6,8,7]
[4,5,3,2,6,7,8,1]=>[1,4,3,2,5,6,8,7]
[5,3,4,2,6,7,8,1]=>[2,4,3,1,5,6,8,7]
[4,3,5,2,6,7,8,1]=>[2,1,4,3,5,6,8,7]
[3,4,5,2,6,7,8,1]=>[1,2,4,3,5,6,8,7]
[5,4,2,3,6,7,8,1]=>[3,4,2,1,5,6,8,7]
[4,5,2,3,6,7,8,1]=>[3,1,4,2,5,6,8,7]
[5,3,2,4,6,7,8,1]=>[3,2,4,1,5,6,8,7]
[5,2,3,4,6,7,8,1]=>[2,3,4,1,5,6,8,7]
[4,3,2,5,6,7,8,1]=>[3,2,1,4,5,6,8,7]
[3,4,2,5,6,7,8,1]=>[1,3,2,4,5,6,8,7]
[4,2,3,5,6,7,8,1]=>[2,3,1,4,5,6,8,7]
[3,2,4,5,6,7,8,1]=>[2,1,3,4,5,6,8,7]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,8,7]
[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1]
[7,8,6,5,4,3,1,2]=>[7,1,8,6,5,4,3,2]
[8,6,7,5,4,3,1,2]=>[7,2,8,6,5,4,3,1]
[7,6,8,5,4,3,1,2]=>[7,2,1,8,6,5,4,3]
[6,7,8,5,4,3,1,2]=>[1,7,2,8,6,5,4,3]
[8,7,5,6,4,3,1,2]=>[7,3,8,6,5,4,2,1]
[7,8,5,6,4,3,1,2]=>[7,3,1,8,6,5,4,2]
[8,6,5,7,4,3,1,2]=>[7,3,2,8,6,5,4,1]
[7,6,5,8,4,3,1,2]=>[7,3,2,1,8,6,5,4]
[6,7,5,8,4,3,1,2]=>[1,7,3,2,8,6,5,4]
[7,5,6,8,4,3,1,2]=>[2,7,3,1,8,6,5,4]
[6,5,7,8,4,3,1,2]=>[2,1,7,3,8,6,5,4]
[5,6,7,8,4,3,1,2]=>[1,2,7,3,8,6,5,4]
[8,7,6,4,5,3,1,2]=>[7,4,8,6,5,3,2,1]
[7,8,6,4,5,3,1,2]=>[7,4,1,8,6,5,3,2]
[8,6,7,4,5,3,1,2]=>[7,4,2,8,6,5,3,1]
[6,7,8,4,5,3,1,2]=>[1,7,4,2,8,6,5,3]
[8,7,5,4,6,3,1,2]=>[7,4,3,8,6,5,2,1]
[7,8,4,5,6,3,1,2]=>[3,7,4,1,8,6,5,2]
[8,5,6,4,7,3,1,2]=>[2,7,4,3,8,6,5,1]
[8,5,4,6,7,3,1,2]=>[3,2,7,4,8,6,5,1]
[7,6,5,4,8,3,1,2]=>[7,4,3,2,1,8,6,5]
[7,5,6,4,8,3,1,2]=>[2,7,4,3,1,8,6,5]
[6,5,7,4,8,3,1,2]=>[2,1,7,4,3,8,6,5]
[7,6,4,5,8,3,1,2]=>[3,7,4,2,1,8,6,5]
[6,7,4,5,8,3,1,2]=>[3,1,7,4,2,8,6,5]
[6,5,4,7,8,3,1,2]=>[3,2,1,7,4,8,6,5]
[5,6,4,7,8,3,1,2]=>[1,3,2,7,4,8,6,5]
[5,4,6,7,8,3,1,2]=>[2,1,3,7,4,8,6,5]
[4,5,6,7,8,3,1,2]=>[1,2,3,7,4,8,6,5]
[8,7,6,5,3,4,1,2]=>[7,5,8,6,4,3,2,1]
[7,8,6,5,3,4,1,2]=>[7,5,1,8,6,4,3,2]
[7,6,8,5,3,4,1,2]=>[7,5,2,1,8,6,4,3]
[6,7,8,5,3,4,1,2]=>[1,7,5,2,8,6,4,3]
[8,7,5,6,3,4,1,2]=>[7,5,3,8,6,4,2,1]
[7,8,5,6,3,4,1,2]=>[7,5,3,1,8,6,4,2]
[8,6,5,7,3,4,1,2]=>[7,5,3,2,8,6,4,1]
[8,5,6,7,3,4,1,2]=>[2,7,5,3,8,6,4,1]
[7,6,5,8,3,4,1,2]=>[7,5,3,2,1,8,6,4]
[6,7,5,8,3,4,1,2]=>[1,7,5,3,2,8,6,4]
[7,5,6,8,3,4,1,2]=>[2,7,5,3,1,8,6,4]
[6,5,7,8,3,4,1,2]=>[2,1,7,5,3,8,6,4]
[5,6,7,8,3,4,1,2]=>[1,2,7,5,3,8,6,4]
[6,7,8,4,3,5,1,2]=>[1,7,5,4,2,8,6,3]
[8,7,6,3,4,5,1,2]=>[4,7,5,8,6,3,2,1]
[7,8,6,3,4,5,1,2]=>[4,7,5,1,8,6,3,2]
[8,6,7,3,4,5,1,2]=>[4,7,5,2,8,6,3,1]
[6,7,8,3,4,5,1,2]=>[4,1,7,5,2,8,6,3]
[7,8,5,4,3,6,1,2]=>[7,5,4,3,1,8,6,2]
[8,7,4,5,3,6,1,2]=>[3,7,5,4,8,6,2,1]
[7,8,4,5,3,6,1,2]=>[3,7,5,4,1,8,6,2]
[7,8,5,3,4,6,1,2]=>[4,7,5,3,1,8,6,2]
[8,7,4,3,5,6,1,2]=>[4,3,7,5,8,6,2,1]
[7,8,4,3,5,6,1,2]=>[4,3,7,5,1,8,6,2]
[8,7,3,4,5,6,1,2]=>[3,4,7,5,8,6,2,1]
[7,8,3,4,5,6,1,2]=>[3,4,7,5,1,8,6,2]
[8,6,5,4,3,7,1,2]=>[7,5,4,3,2,8,6,1]
[8,5,4,6,3,7,1,2]=>[3,2,7,5,4,8,6,1]
[8,5,4,3,6,7,1,2]=>[4,3,2,7,5,8,6,1]
[8,5,3,4,6,7,1,2]=>[3,4,2,7,5,8,6,1]
[8,4,3,5,6,7,1,2]=>[3,2,4,7,5,8,6,1]
[8,3,4,5,6,7,1,2]=>[2,3,4,7,5,8,6,1]
[7,6,5,4,3,8,1,2]=>[7,5,4,3,2,1,8,6]
[7,5,6,4,3,8,1,2]=>[2,7,5,4,3,1,8,6]
[6,5,7,4,3,8,1,2]=>[2,1,7,5,4,3,8,6]
[5,6,7,4,3,8,1,2]=>[1,2,7,5,4,3,8,6]
[6,7,4,5,3,8,1,2]=>[3,1,7,5,4,2,8,6]
[7,5,4,6,3,8,1,2]=>[3,2,7,5,4,1,8,6]
[6,5,4,7,3,8,1,2]=>[3,2,1,7,5,4,8,6]
[5,6,4,7,3,8,1,2]=>[1,3,2,7,5,4,8,6]
[6,4,5,7,3,8,1,2]=>[2,3,1,7,5,4,8,6]
[5,4,6,7,3,8,1,2]=>[2,1,3,7,5,4,8,6]
[4,5,6,7,3,8,1,2]=>[1,2,3,7,5,4,8,6]
[7,6,5,3,4,8,1,2]=>[4,7,5,3,2,1,8,6]
[7,5,6,3,4,8,1,2]=>[4,2,7,5,3,1,8,6]
[5,6,7,3,4,8,1,2]=>[1,4,2,7,5,3,8,6]
[7,6,4,3,5,8,1,2]=>[4,3,7,5,2,1,8,6]
[7,6,3,4,5,8,1,2]=>[3,4,7,5,2,1,8,6]
[7,5,4,3,6,8,1,2]=>[4,3,2,7,5,1,8,6]
[7,4,5,3,6,8,1,2]=>[2,4,3,7,5,1,8,6]
[7,5,3,4,6,8,1,2]=>[3,4,2,7,5,1,8,6]
[7,3,4,5,6,8,1,2]=>[2,3,4,7,5,1,8,6]
[6,5,4,3,7,8,1,2]=>[4,3,2,1,7,5,8,6]
[5,6,4,3,7,8,1,2]=>[1,4,3,2,7,5,8,6]
[5,4,6,3,7,8,1,2]=>[2,1,4,3,7,5,8,6]
[4,5,6,3,7,8,1,2]=>[1,2,4,3,7,5,8,6]
[6,5,3,4,7,8,1,2]=>[3,4,2,1,7,5,8,6]
[5,6,3,4,7,8,1,2]=>[3,1,4,2,7,5,8,6]
[6,4,3,5,7,8,1,2]=>[3,2,4,1,7,5,8,6]
[6,3,4,5,7,8,1,2]=>[2,3,4,1,7,5,8,6]
[5,4,3,6,7,8,1,2]=>[3,2,1,4,7,5,8,6]
[4,5,3,6,7,8,1,2]=>[1,3,2,4,7,5,8,6]
[5,3,4,6,7,8,1,2]=>[2,3,1,4,7,5,8,6]
[4,3,5,6,7,8,1,2]=>[2,1,3,4,7,5,8,6]
[3,4,5,6,7,8,1,2]=>[1,2,3,4,7,5,8,6]
[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1]
[7,8,6,5,4,2,1,3]=>[7,6,1,8,5,4,3,2]
[8,6,7,5,4,2,1,3]=>[7,6,2,8,5,4,3,1]
[7,6,8,5,4,2,1,3]=>[7,6,2,1,8,5,4,3]
[6,7,8,5,4,2,1,3]=>[1,7,6,2,8,5,4,3]
[8,7,5,6,4,2,1,3]=>[7,6,3,8,5,4,2,1]
[7,8,5,6,4,2,1,3]=>[7,6,3,1,8,5,4,2]
[8,6,5,7,4,2,1,3]=>[7,6,3,2,8,5,4,1]
[7,6,5,8,4,2,1,3]=>[7,6,3,2,1,8,5,4]
[6,7,5,8,4,2,1,3]=>[1,7,6,3,2,8,5,4]
[7,5,6,8,4,2,1,3]=>[2,7,6,3,1,8,5,4]
[6,5,7,8,4,2,1,3]=>[2,1,7,6,3,8,5,4]
[5,6,7,8,4,2,1,3]=>[1,2,7,6,3,8,5,4]
[8,7,6,4,5,2,1,3]=>[7,6,4,8,5,3,2,1]
[8,6,7,4,5,2,1,3]=>[7,6,4,2,8,5,3,1]
[7,6,8,4,5,2,1,3]=>[7,6,4,2,1,8,5,3]
[8,7,4,5,6,2,1,3]=>[3,7,6,4,8,5,2,1]
[8,6,5,4,7,2,1,3]=>[7,6,4,3,2,8,5,1]
[8,6,4,5,7,2,1,3]=>[3,7,6,4,2,8,5,1]
[8,4,5,6,7,2,1,3]=>[2,3,7,6,4,8,5,1]
[7,6,5,4,8,2,1,3]=>[7,6,4,3,2,1,8,5]
[6,7,5,4,8,2,1,3]=>[1,7,6,4,3,2,8,5]
[7,5,6,4,8,2,1,3]=>[2,7,6,4,3,1,8,5]
[6,5,7,4,8,2,1,3]=>[2,1,7,6,4,3,8,5]
[5,6,7,4,8,2,1,3]=>[1,2,7,6,4,3,8,5]
[7,6,4,5,8,2,1,3]=>[3,7,6,4,2,1,8,5]
[7,5,4,6,8,2,1,3]=>[3,2,7,6,4,1,8,5]
[7,4,5,6,8,2,1,3]=>[2,3,7,6,4,1,8,5]
[5,4,6,7,8,2,1,3]=>[2,1,3,7,6,4,8,5]
[4,5,6,7,8,2,1,3]=>[1,2,3,7,6,4,8,5]
[8,7,6,5,4,1,2,3]=>[6,7,8,5,4,3,2,1]
[7,8,6,5,4,1,2,3]=>[6,7,1,8,5,4,3,2]
[7,6,8,5,4,1,2,3]=>[6,7,2,1,8,5,4,3]
[6,7,8,5,4,1,2,3]=>[6,1,7,2,8,5,4,3]
[7,8,5,6,4,1,2,3]=>[6,7,3,1,8,5,4,2]
[8,6,5,7,4,1,2,3]=>[6,7,3,2,8,5,4,1]
[8,5,6,7,4,1,2,3]=>[6,2,7,3,8,5,4,1]
[7,6,5,8,4,1,2,3]=>[6,7,3,2,1,8,5,4]
[6,7,5,8,4,1,2,3]=>[6,1,7,3,2,8,5,4]
[7,5,6,8,4,1,2,3]=>[6,2,7,3,1,8,5,4]
[6,5,7,8,4,1,2,3]=>[6,2,1,7,3,8,5,4]
[5,6,7,8,4,1,2,3]=>[1,6,2,7,3,8,5,4]
[8,7,6,4,5,1,2,3]=>[6,7,4,8,5,3,2,1]
[8,6,7,4,5,1,2,3]=>[6,7,4,2,8,5,3,1]
[6,7,8,4,5,1,2,3]=>[6,1,7,4,2,8,5,3]
[8,7,5,4,6,1,2,3]=>[6,7,4,3,8,5,2,1]
[7,8,5,4,6,1,2,3]=>[6,7,4,3,1,8,5,2]
[8,7,4,5,6,1,2,3]=>[6,3,7,4,8,5,2,1]
[7,8,4,5,6,1,2,3]=>[6,3,7,4,1,8,5,2]
[8,6,5,4,7,1,2,3]=>[6,7,4,3,2,8,5,1]
[8,5,6,4,7,1,2,3]=>[6,2,7,4,3,8,5,1]
[8,6,4,5,7,1,2,3]=>[6,3,7,4,2,8,5,1]
[8,5,4,6,7,1,2,3]=>[6,3,2,7,4,8,5,1]
[8,4,5,6,7,1,2,3]=>[2,6,3,7,4,8,5,1]
[7,6,5,4,8,1,2,3]=>[6,7,4,3,2,1,8,5]
[6,7,5,4,8,1,2,3]=>[6,1,7,4,3,2,8,5]
[7,5,6,4,8,1,2,3]=>[6,2,7,4,3,1,8,5]
[6,5,7,4,8,1,2,3]=>[6,2,1,7,4,3,8,5]
[5,6,7,4,8,1,2,3]=>[1,6,2,7,4,3,8,5]
[7,6,4,5,8,1,2,3]=>[6,3,7,4,2,1,8,5]
[6,7,4,5,8,1,2,3]=>[6,3,1,7,4,2,8,5]
[7,5,4,6,8,1,2,3]=>[6,3,2,7,4,1,8,5]
[7,4,5,6,8,1,2,3]=>[2,6,3,7,4,1,8,5]
[6,5,4,7,8,1,2,3]=>[6,3,2,1,7,4,8,5]
[5,6,4,7,8,1,2,3]=>[1,6,3,2,7,4,8,5]
[6,4,5,7,8,1,2,3]=>[2,6,3,1,7,4,8,5]
[5,4,6,7,8,1,2,3]=>[2,1,6,3,7,4,8,5]
[4,5,6,7,8,1,2,3]=>[1,2,6,3,7,4,8,5]
[8,7,6,5,3,2,1,4]=>[7,6,5,8,4,3,2,1]
[7,8,6,5,3,2,1,4]=>[7,6,5,1,8,4,3,2]
[8,6,7,5,3,2,1,4]=>[7,6,5,2,8,4,3,1]
[7,6,8,5,3,2,1,4]=>[7,6,5,2,1,8,4,3]
[6,7,8,5,3,2,1,4]=>[1,7,6,5,2,8,4,3]
[8,7,5,6,3,2,1,4]=>[7,6,5,3,8,4,2,1]
[7,8,5,6,3,2,1,4]=>[7,6,5,3,1,8,4,2]
[8,6,5,7,3,2,1,4]=>[7,6,5,3,2,8,4,1]
[8,5,6,7,3,2,1,4]=>[2,7,6,5,3,8,4,1]
[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,8,4]
[6,7,5,8,3,2,1,4]=>[1,7,6,5,3,2,8,4]
[7,5,6,8,3,2,1,4]=>[2,7,6,5,3,1,8,4]
[6,5,7,8,3,2,1,4]=>[2,1,7,6,5,3,8,4]
[5,6,7,8,3,2,1,4]=>[1,2,7,6,5,3,8,4]
[8,7,6,5,2,3,1,4]=>[5,7,6,8,4,3,2,1]
[7,8,6,5,2,3,1,4]=>[5,7,6,1,8,4,3,2]
[8,6,7,5,2,3,1,4]=>[5,7,6,2,8,4,3,1]
[7,6,8,5,2,3,1,4]=>[5,7,6,2,1,8,4,3]
[6,7,8,5,2,3,1,4]=>[5,1,7,6,2,8,4,3]
[8,7,5,6,2,3,1,4]=>[5,7,6,3,8,4,2,1]
[7,8,5,6,2,3,1,4]=>[5,7,6,3,1,8,4,2]
[8,6,5,7,2,3,1,4]=>[5,7,6,3,2,8,4,1]
[8,5,6,7,2,3,1,4]=>[5,2,7,6,3,8,4,1]
[7,6,5,8,2,3,1,4]=>[5,7,6,3,2,1,8,4]
[6,7,5,8,2,3,1,4]=>[5,1,7,6,3,2,8,4]
[7,5,6,8,2,3,1,4]=>[5,2,7,6,3,1,8,4]
[6,5,7,8,2,3,1,4]=>[5,2,1,7,6,3,8,4]
[5,6,7,8,2,3,1,4]=>[1,5,2,7,6,3,8,4]
[8,7,6,5,3,1,2,4]=>[6,7,5,8,4,3,2,1]
[7,8,6,5,3,1,2,4]=>[6,7,5,1,8,4,3,2]
[8,6,7,5,3,1,2,4]=>[6,7,5,2,8,4,3,1]
[7,6,8,5,3,1,2,4]=>[6,7,5,2,1,8,4,3]
[8,7,5,6,3,1,2,4]=>[6,7,5,3,8,4,2,1]
[7,8,5,6,3,1,2,4]=>[6,7,5,3,1,8,4,2]
[8,6,5,7,3,1,2,4]=>[6,7,5,3,2,8,4,1]
[7,6,5,8,3,1,2,4]=>[6,7,5,3,2,1,8,4]
[6,7,5,8,3,1,2,4]=>[6,1,7,5,3,2,8,4]
[7,5,6,8,3,1,2,4]=>[6,2,7,5,3,1,8,4]
[6,5,7,8,3,1,2,4]=>[6,2,1,7,5,3,8,4]
[5,6,7,8,3,1,2,4]=>[1,6,2,7,5,3,8,4]
[8,7,6,5,2,1,3,4]=>[6,5,7,8,4,3,2,1]
[7,8,6,5,2,1,3,4]=>[6,5,7,1,8,4,3,2]
[7,6,8,5,2,1,3,4]=>[6,5,7,2,1,8,4,3]
[6,7,8,5,2,1,3,4]=>[6,5,1,7,2,8,4,3]
[8,7,5,6,2,1,3,4]=>[6,5,7,3,8,4,2,1]
[7,8,5,6,2,1,3,4]=>[6,5,7,3,1,8,4,2]
[8,6,5,7,2,1,3,4]=>[6,5,7,3,2,8,4,1]
[8,5,6,7,2,1,3,4]=>[6,5,2,7,3,8,4,1]
[7,6,5,8,2,1,3,4]=>[6,5,7,3,2,1,8,4]
[6,7,5,8,2,1,3,4]=>[6,5,1,7,3,2,8,4]
[7,5,6,8,2,1,3,4]=>[6,5,2,7,3,1,8,4]
[6,5,7,8,2,1,3,4]=>[6,5,2,1,7,3,8,4]
[5,6,7,8,2,1,3,4]=>[1,6,5,2,7,3,8,4]
[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1]
[7,8,6,5,1,2,3,4]=>[5,6,7,1,8,4,3,2]
[8,6,7,5,1,2,3,4]=>[5,6,7,2,8,4,3,1]
[7,6,8,5,1,2,3,4]=>[5,6,7,2,1,8,4,3]
[6,7,8,5,1,2,3,4]=>[5,6,1,7,2,8,4,3]
[8,7,5,6,1,2,3,4]=>[5,6,7,3,8,4,2,1]
[7,8,5,6,1,2,3,4]=>[5,6,7,3,1,8,4,2]
[8,6,5,7,1,2,3,4]=>[5,6,7,3,2,8,4,1]
[8,5,6,7,1,2,3,4]=>[5,6,2,7,3,8,4,1]
[7,6,5,8,1,2,3,4]=>[5,6,7,3,2,1,8,4]
[6,7,5,8,1,2,3,4]=>[5,6,1,7,3,2,8,4]
[7,5,6,8,1,2,3,4]=>[5,6,2,7,3,1,8,4]
[6,5,7,8,1,2,3,4]=>[5,6,2,1,7,3,8,4]
[5,6,7,8,1,2,3,4]=>[5,1,6,2,7,3,8,4]
[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1]
[7,8,6,4,3,2,1,5]=>[7,6,5,4,1,8,3,2]
[8,6,7,4,3,2,1,5]=>[7,6,5,4,2,8,3,1]
[7,6,8,4,3,2,1,5]=>[7,6,5,4,2,1,8,3]
[6,7,8,4,3,2,1,5]=>[1,7,6,5,4,2,8,3]
[8,7,6,3,4,2,1,5]=>[4,7,6,5,8,3,2,1]
[7,8,6,3,4,2,1,5]=>[4,7,6,5,1,8,3,2]
[6,7,8,3,4,2,1,5]=>[4,1,7,6,5,2,8,3]
[8,7,6,4,2,3,1,5]=>[5,7,6,4,8,3,2,1]
[8,6,7,4,2,3,1,5]=>[5,7,6,4,2,8,3,1]
[7,6,8,4,2,3,1,5]=>[5,7,6,4,2,1,8,3]
[6,7,8,4,2,3,1,5]=>[5,1,7,6,4,2,8,3]
[8,7,6,3,2,4,1,5]=>[5,4,7,6,8,3,2,1]
[8,6,7,3,2,4,1,5]=>[5,4,7,6,2,8,3,1]
[6,7,8,3,2,4,1,5]=>[5,4,1,7,6,2,8,3]
[8,7,6,2,3,4,1,5]=>[4,5,7,6,8,3,2,1]
[8,6,7,2,3,4,1,5]=>[4,5,7,6,2,8,3,1]
[7,6,8,2,3,4,1,5]=>[4,5,7,6,2,1,8,3]
[6,7,8,2,3,4,1,5]=>[4,5,1,7,6,2,8,3]
[8,7,6,4,3,1,2,5]=>[6,7,5,4,8,3,2,1]
[6,7,8,4,3,1,2,5]=>[6,1,7,5,4,2,8,3]
[8,7,6,3,4,1,2,5]=>[6,4,7,5,8,3,2,1]
[7,8,6,3,4,1,2,5]=>[6,4,7,5,1,8,3,2]
[8,6,7,3,4,1,2,5]=>[6,4,7,5,2,8,3,1]
[6,7,8,3,4,1,2,5]=>[6,4,1,7,5,2,8,3]
[8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1]
[7,8,6,4,2,1,3,5]=>[6,5,7,4,1,8,3,2]
[8,6,7,4,2,1,3,5]=>[6,5,7,4,2,8,3,1]
[6,7,8,4,2,1,3,5]=>[6,5,1,7,4,2,8,3]
[8,7,6,4,1,2,3,5]=>[5,6,7,4,8,3,2,1]
[7,8,6,4,1,2,3,5]=>[5,6,7,4,1,8,3,2]
[7,6,8,4,1,2,3,5]=>[5,6,7,4,2,1,8,3]
[6,7,8,4,1,2,3,5]=>[5,6,1,7,4,2,8,3]
[8,7,6,3,2,1,4,5]=>[6,5,4,7,8,3,2,1]
[7,8,6,3,2,1,4,5]=>[6,5,4,7,1,8,3,2]
[8,6,7,3,2,1,4,5]=>[6,5,4,7,2,8,3,1]
[7,6,8,3,2,1,4,5]=>[6,5,4,7,2,1,8,3]
[6,7,8,3,2,1,4,5]=>[6,5,4,1,7,2,8,3]
[8,7,6,2,3,1,4,5]=>[4,6,5,7,8,3,2,1]
[7,8,6,2,3,1,4,5]=>[4,6,5,7,1,8,3,2]
[8,6,7,2,3,1,4,5]=>[4,6,5,7,2,8,3,1]
[7,6,8,2,3,1,4,5]=>[4,6,5,7,2,1,8,3]
[6,7,8,2,3,1,4,5]=>[4,6,5,1,7,2,8,3]
[8,7,6,3,1,2,4,5]=>[5,6,4,7,8,3,2,1]
[7,8,6,3,1,2,4,5]=>[5,6,4,7,1,8,3,2]
[8,6,7,3,1,2,4,5]=>[5,6,4,7,2,8,3,1]
[7,6,8,3,1,2,4,5]=>[5,6,4,7,2,1,8,3]
[6,7,8,3,1,2,4,5]=>[5,6,4,1,7,2,8,3]
[8,7,6,2,1,3,4,5]=>[5,4,6,7,8,3,2,1]
[7,8,6,2,1,3,4,5]=>[5,4,6,7,1,8,3,2]
[8,6,7,2,1,3,4,5]=>[5,4,6,7,2,8,3,1]
[6,7,8,2,1,3,4,5]=>[5,4,6,1,7,2,8,3]
[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1]
[7,8,6,1,2,3,4,5]=>[4,5,6,7,1,8,3,2]
[8,6,7,1,2,3,4,5]=>[4,5,6,7,2,8,3,1]
[7,6,8,1,2,3,4,5]=>[4,5,6,7,2,1,8,3]
[6,7,8,1,2,3,4,5]=>[4,5,6,1,7,2,8,3]
[8,7,5,4,3,2,1,6]=>[7,6,5,4,3,8,2,1]
[7,8,5,4,3,2,1,6]=>[7,6,5,4,3,1,8,2]
[8,7,4,5,3,2,1,6]=>[3,7,6,5,4,8,2,1]
[7,8,4,5,3,2,1,6]=>[3,7,6,5,4,1,8,2]
[8,7,5,3,4,2,1,6]=>[4,7,6,5,3,8,2,1]
[8,7,3,4,5,2,1,6]=>[3,4,7,6,5,8,2,1]
[7,8,3,4,5,2,1,6]=>[3,4,7,6,5,1,8,2]
[8,7,4,5,2,3,1,6]=>[5,3,7,6,4,8,2,1]
[7,8,4,5,2,3,1,6]=>[5,3,7,6,4,1,8,2]
[8,7,5,3,2,4,1,6]=>[5,4,7,6,3,8,2,1]
[7,8,5,2,3,4,1,6]=>[4,5,7,6,3,1,8,2]
[8,7,4,3,2,5,1,6]=>[5,4,3,7,6,8,2,1]
[7,8,4,3,2,5,1,6]=>[5,4,3,7,6,1,8,2]
[8,7,3,4,2,5,1,6]=>[3,5,4,7,6,8,2,1]
[7,8,3,4,2,5,1,6]=>[3,5,4,7,6,1,8,2]
[8,7,2,3,4,5,1,6]=>[3,4,5,7,6,8,2,1]
[7,8,2,3,4,5,1,6]=>[3,4,5,7,6,1,8,2]
[8,7,5,4,3,1,2,6]=>[6,7,5,4,3,8,2,1]
[7,8,5,4,3,1,2,6]=>[6,7,5,4,3,1,8,2]
[8,7,5,3,4,1,2,6]=>[6,4,7,5,3,8,2,1]
[7,8,5,3,4,1,2,6]=>[6,4,7,5,3,1,8,2]
[8,7,3,4,5,1,2,6]=>[3,6,4,7,5,8,2,1]
[7,8,3,4,5,1,2,6]=>[3,6,4,7,5,1,8,2]
[7,8,5,4,2,1,3,6]=>[6,5,7,4,3,1,8,2]
[8,7,5,4,1,2,3,6]=>[5,6,7,4,3,8,2,1]
[7,8,5,4,1,2,3,6]=>[5,6,7,4,3,1,8,2]
[8,7,4,5,1,2,3,6]=>[5,6,3,7,4,8,2,1]
[7,8,4,5,1,2,3,6]=>[5,6,3,7,4,1,8,2]
[8,7,5,3,2,1,4,6]=>[6,5,4,7,3,8,2,1]
[7,8,5,3,2,1,4,6]=>[6,5,4,7,3,1,8,2]
[8,7,5,2,3,1,4,6]=>[4,6,5,7,3,8,2,1]
[8,7,5,3,1,2,4,6]=>[5,6,4,7,3,8,2,1]
[7,8,5,3,1,2,4,6]=>[5,6,4,7,3,1,8,2]
[8,7,5,2,1,3,4,6]=>[5,4,6,7,3,8,2,1]
[7,8,5,2,1,3,4,6]=>[5,4,6,7,3,1,8,2]
[8,7,5,1,2,3,4,6]=>[4,5,6,7,3,8,2,1]
[7,8,5,1,2,3,4,6]=>[4,5,6,7,3,1,8,2]
[8,7,4,3,2,1,5,6]=>[6,5,4,3,7,8,2,1]
[7,8,4,3,2,1,5,6]=>[6,5,4,3,7,1,8,2]
[8,7,3,4,2,1,5,6]=>[3,6,5,4,7,8,2,1]
[7,8,3,4,2,1,5,6]=>[3,6,5,4,7,1,8,2]
[7,8,4,2,3,1,5,6]=>[4,6,5,3,7,1,8,2]
[8,7,3,2,4,1,5,6]=>[4,3,6,5,7,8,2,1]
[7,8,3,2,4,1,5,6]=>[4,3,6,5,7,1,8,2]
[8,7,2,3,4,1,5,6]=>[3,4,6,5,7,8,2,1]
[7,8,2,3,4,1,5,6]=>[3,4,6,5,7,1,8,2]
[7,8,4,3,1,2,5,6]=>[5,6,4,3,7,1,8,2]
[8,7,3,4,1,2,5,6]=>[5,3,6,4,7,8,2,1]
[7,8,3,4,1,2,5,6]=>[5,3,6,4,7,1,8,2]
[8,7,4,2,1,3,5,6]=>[5,4,6,3,7,8,2,1]
[7,8,4,2,1,3,5,6]=>[5,4,6,3,7,1,8,2]
[8,7,4,1,2,3,5,6]=>[4,5,6,3,7,8,2,1]
[7,8,4,1,2,3,5,6]=>[4,5,6,3,7,1,8,2]
[8,7,3,2,1,4,5,6]=>[5,4,3,6,7,8,2,1]
[7,8,3,2,1,4,5,6]=>[5,4,3,6,7,1,8,2]
[8,7,2,3,1,4,5,6]=>[3,5,4,6,7,8,2,1]
[7,8,2,3,1,4,5,6]=>[3,5,4,6,7,1,8,2]
[7,8,3,1,2,4,5,6]=>[4,5,3,6,7,1,8,2]
[8,7,2,1,3,4,5,6]=>[4,3,5,6,7,8,2,1]
[7,8,2,1,3,4,5,6]=>[4,3,5,6,7,1,8,2]
[8,7,1,2,3,4,5,6]=>[3,4,5,6,7,8,2,1]
[7,8,1,2,3,4,5,6]=>[3,4,5,6,7,1,8,2]
[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1]
[8,5,6,4,3,2,1,7]=>[2,7,6,5,4,3,8,1]
[8,6,4,5,3,2,1,7]=>[3,7,6,5,4,2,8,1]
[8,4,5,6,3,2,1,7]=>[2,3,7,6,5,4,8,1]
[8,6,5,3,4,2,1,7]=>[4,7,6,5,3,2,8,1]
[8,5,6,3,4,2,1,7]=>[4,2,7,6,5,3,8,1]
[8,6,4,3,5,2,1,7]=>[4,3,7,6,5,2,8,1]
[8,4,5,3,6,2,1,7]=>[2,4,3,7,6,5,8,1]
[8,4,3,5,6,2,1,7]=>[3,2,4,7,6,5,8,1]
[8,3,4,5,6,2,1,7]=>[2,3,4,7,6,5,8,1]
[8,6,5,4,2,3,1,7]=>[5,7,6,4,3,2,8,1]
[8,5,6,4,2,3,1,7]=>[5,2,7,6,4,3,8,1]
[8,6,4,5,2,3,1,7]=>[5,3,7,6,4,2,8,1]
[8,4,5,6,2,3,1,7]=>[2,5,3,7,6,4,8,1]
[8,6,5,3,2,4,1,7]=>[5,4,7,6,3,2,8,1]
[8,6,5,2,3,4,1,7]=>[4,5,7,6,3,2,8,1]
[8,5,6,2,3,4,1,7]=>[4,5,2,7,6,3,8,1]
[8,6,4,3,2,5,1,7]=>[5,4,3,7,6,2,8,1]
[8,6,4,2,3,5,1,7]=>[4,5,3,7,6,2,8,1]
[8,6,3,2,4,5,1,7]=>[4,3,5,7,6,2,8,1]
[8,5,4,3,2,6,1,7]=>[5,4,3,2,7,6,8,1]
[8,4,3,5,2,6,1,7]=>[3,2,5,4,7,6,8,1]
[8,5,4,2,3,6,1,7]=>[4,5,3,2,7,6,8,1]
[8,4,5,2,3,6,1,7]=>[4,2,5,3,7,6,8,1]
[8,5,3,2,4,6,1,7]=>[4,3,5,2,7,6,8,1]
[8,5,2,3,4,6,1,7]=>[3,4,5,2,7,6,8,1]
[8,3,4,2,5,6,1,7]=>[2,4,3,5,7,6,8,1]
[8,3,2,4,5,6,1,7]=>[3,2,4,5,7,6,8,1]
[8,2,3,4,5,6,1,7]=>[2,3,4,5,7,6,8,1]
[8,6,5,4,3,1,2,7]=>[6,7,5,4,3,2,8,1]
[8,6,4,5,3,1,2,7]=>[6,3,7,5,4,2,8,1]
[8,6,5,3,4,1,2,7]=>[6,4,7,5,3,2,8,1]
[8,5,6,3,4,1,2,7]=>[6,4,2,7,5,3,8,1]
[8,6,3,4,5,1,2,7]=>[3,6,4,7,5,2,8,1]
[8,5,4,3,6,1,2,7]=>[6,4,3,2,7,5,8,1]
[8,4,5,3,6,1,2,7]=>[2,6,4,3,7,5,8,1]
[8,5,3,4,6,1,2,7]=>[3,6,4,2,7,5,8,1]
[8,4,3,5,6,1,2,7]=>[3,2,6,4,7,5,8,1]
[8,3,4,5,6,1,2,7]=>[2,3,6,4,7,5,8,1]
[8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1]
[8,5,6,4,2,1,3,7]=>[6,5,2,7,4,3,8,1]
[8,6,4,5,2,1,3,7]=>[6,5,3,7,4,2,8,1]
[8,4,5,6,2,1,3,7]=>[2,6,5,3,7,4,8,1]
[8,6,5,4,1,2,3,7]=>[5,6,7,4,3,2,8,1]
[8,5,6,4,1,2,3,7]=>[5,6,2,7,4,3,8,1]
[8,6,4,5,1,2,3,7]=>[5,6,3,7,4,2,8,1]
[8,4,5,6,1,2,3,7]=>[5,2,6,3,7,4,8,1]
[8,6,5,3,2,1,4,7]=>[6,5,4,7,3,2,8,1]
[8,5,6,3,2,1,4,7]=>[6,5,4,2,7,3,8,1]
[8,6,5,2,3,1,4,7]=>[4,6,5,7,3,2,8,1]
[8,5,6,2,3,1,4,7]=>[4,6,5,2,7,3,8,1]
[8,5,6,3,1,2,4,7]=>[5,6,4,2,7,3,8,1]
[8,6,5,2,1,3,4,7]=>[5,4,6,7,3,2,8,1]
[8,5,6,2,1,3,4,7]=>[5,4,6,2,7,3,8,1]
[8,6,5,1,2,3,4,7]=>[4,5,6,7,3,2,8,1]
[8,5,6,1,2,3,4,7]=>[4,5,6,2,7,3,8,1]
[8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1]
[8,6,3,4,2,1,5,7]=>[3,6,5,4,7,2,8,1]
[8,6,4,2,3,1,5,7]=>[4,6,5,3,7,2,8,1]
[8,6,3,2,4,1,5,7]=>[4,3,6,5,7,2,8,1]
[8,6,2,3,4,1,5,7]=>[3,4,6,5,7,2,8,1]
[8,6,4,3,1,2,5,7]=>[5,6,4,3,7,2,8,1]
[8,6,3,4,1,2,5,7]=>[5,3,6,4,7,2,8,1]
[8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1]
[8,6,4,1,2,3,5,7]=>[4,5,6,3,7,2,8,1]
[8,6,3,2,1,4,5,7]=>[5,4,3,6,7,2,8,1]
[8,6,1,2,3,4,5,7]=>[3,4,5,6,7,2,8,1]
[8,5,4,3,2,1,6,7]=>[6,5,4,3,2,7,8,1]
[8,4,5,3,2,1,6,7]=>[2,6,5,4,3,7,8,1]
[8,4,3,5,2,1,6,7]=>[3,2,6,5,4,7,8,1]
[8,3,4,5,2,1,6,7]=>[2,3,6,5,4,7,8,1]
[8,4,5,2,3,1,6,7]=>[4,2,6,5,3,7,8,1]
[8,5,2,3,4,1,6,7]=>[3,4,6,5,2,7,8,1]
[8,4,2,3,5,1,6,7]=>[3,4,2,6,5,7,8,1]
[8,2,3,4,5,1,6,7]=>[2,3,4,6,5,7,8,1]
[8,5,3,4,1,2,6,7]=>[5,3,6,4,2,7,8,1]
[8,3,4,5,1,2,6,7]=>[2,5,3,6,4,7,8,1]
[8,5,4,2,1,3,6,7]=>[5,4,6,3,2,7,8,1]
[8,5,4,1,2,3,6,7]=>[4,5,6,3,2,7,8,1]
[8,4,5,1,2,3,6,7]=>[4,5,2,6,3,7,8,1]
[8,5,3,2,1,4,6,7]=>[5,4,3,6,2,7,8,1]
[8,5,3,1,2,4,6,7]=>[4,5,3,6,2,7,8,1]
[8,5,2,1,3,4,6,7]=>[4,3,5,6,2,7,8,1]
[8,5,1,2,3,4,6,7]=>[3,4,5,6,2,7,8,1]
[8,4,3,2,1,5,6,7]=>[5,4,3,2,6,7,8,1]
[8,3,4,2,1,5,6,7]=>[2,5,4,3,6,7,8,1]
[8,4,2,3,1,5,6,7]=>[3,5,4,2,6,7,8,1]
[8,2,3,4,1,5,6,7]=>[2,3,5,4,6,7,8,1]
[8,3,4,1,2,5,6,7]=>[4,2,5,3,6,7,8,1]
[8,4,2,1,3,5,6,7]=>[4,3,5,2,6,7,8,1]
[8,4,1,2,3,5,6,7]=>[3,4,5,2,6,7,8,1]
[8,3,2,1,4,5,6,7]=>[4,3,2,5,6,7,8,1]
[8,2,3,1,4,5,6,7]=>[2,4,3,5,6,7,8,1]
[8,3,1,2,4,5,6,7]=>[3,4,2,5,6,7,8,1]
[8,2,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]
[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]
[6,7,5,4,3,2,1,8]=>[1,7,6,5,4,3,2,8]
[7,5,6,4,3,2,1,8]=>[2,7,6,5,4,3,1,8]
[6,5,7,4,3,2,1,8]=>[2,1,7,6,5,4,3,8]
[5,6,7,4,3,2,1,8]=>[1,2,7,6,5,4,3,8]
[7,6,4,5,3,2,1,8]=>[3,7,6,5,4,2,1,8]
[6,7,4,5,3,2,1,8]=>[3,1,7,6,5,4,2,8]
[7,4,5,6,3,2,1,8]=>[2,3,7,6,5,4,1,8]
[6,5,4,7,3,2,1,8]=>[3,2,1,7,6,5,4,8]
[5,6,4,7,3,2,1,8]=>[1,3,2,7,6,5,4,8]
[5,4,6,7,3,2,1,8]=>[2,1,3,7,6,5,4,8]
[4,5,6,7,3,2,1,8]=>[1,2,3,7,6,5,4,8]
[7,6,5,3,4,2,1,8]=>[4,7,6,5,3,2,1,8]
[6,7,5,3,4,2,1,8]=>[4,1,7,6,5,3,2,8]
[7,5,6,3,4,2,1,8]=>[4,2,7,6,5,3,1,8]
[6,5,7,3,4,2,1,8]=>[4,2,1,7,6,5,3,8]
[5,6,7,3,4,2,1,8]=>[1,4,2,7,6,5,3,8]
[7,6,4,3,5,2,1,8]=>[4,3,7,6,5,2,1,8]
[6,7,4,3,5,2,1,8]=>[4,3,1,7,6,5,2,8]
[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]
[7,5,4,3,6,2,1,8]=>[4,3,2,7,6,5,1,8]
[7,4,5,3,6,2,1,8]=>[2,4,3,7,6,5,1,8]
[7,3,4,5,6,2,1,8]=>[2,3,4,7,6,5,1,8]
[6,5,4,3,7,2,1,8]=>[4,3,2,1,7,6,5,8]
[5,6,4,3,7,2,1,8]=>[1,4,3,2,7,6,5,8]
[5,4,6,3,7,2,1,8]=>[2,1,4,3,7,6,5,8]
[5,4,3,6,7,2,1,8]=>[3,2,1,4,7,6,5,8]
[3,4,5,6,7,2,1,8]=>[1,2,3,4,7,6,5,8]
[7,6,5,4,2,3,1,8]=>[5,7,6,4,3,2,1,8]
[6,7,5,4,2,3,1,8]=>[5,1,7,6,4,3,2,8]
[7,5,6,4,2,3,1,8]=>[5,2,7,6,4,3,1,8]
[5,6,7,4,2,3,1,8]=>[1,5,2,7,6,4,3,8]
[7,6,4,5,2,3,1,8]=>[5,3,7,6,4,2,1,8]
[6,7,4,5,2,3,1,8]=>[5,3,1,7,6,4,2,8]
[7,5,4,6,2,3,1,8]=>[5,3,2,7,6,4,1,8]
[7,4,5,6,2,3,1,8]=>[2,5,3,7,6,4,1,8]
[6,5,4,7,2,3,1,8]=>[5,3,2,1,7,6,4,8]
[5,6,4,7,2,3,1,8]=>[1,5,3,2,7,6,4,8]
[5,4,6,7,2,3,1,8]=>[2,1,5,3,7,6,4,8]
[4,5,6,7,2,3,1,8]=>[1,2,5,3,7,6,4,8]
[7,6,5,3,2,4,1,8]=>[5,4,7,6,3,2,1,8]
[6,5,7,3,2,4,1,8]=>[5,4,2,1,7,6,3,8]
[5,6,7,3,2,4,1,8]=>[1,5,4,2,7,6,3,8]
[7,6,5,2,3,4,1,8]=>[4,5,7,6,3,2,1,8]
[6,7,5,2,3,4,1,8]=>[4,5,1,7,6,3,2,8]
[7,5,6,2,3,4,1,8]=>[4,5,2,7,6,3,1,8]
[6,5,7,2,3,4,1,8]=>[4,5,2,1,7,6,3,8]
[5,6,7,2,3,4,1,8]=>[4,1,5,2,7,6,3,8]
[7,6,4,3,2,5,1,8]=>[5,4,3,7,6,2,1,8]
[6,7,4,3,2,5,1,8]=>[5,4,3,1,7,6,2,8]
[6,7,3,4,2,5,1,8]=>[3,5,4,1,7,6,2,8]
[7,6,4,2,3,5,1,8]=>[4,5,3,7,6,2,1,8]
[6,7,4,2,3,5,1,8]=>[4,5,3,1,7,6,2,8]
[7,6,3,2,4,5,1,8]=>[4,3,5,7,6,2,1,8]
[6,7,3,2,4,5,1,8]=>[4,3,5,1,7,6,2,8]
[7,6,2,3,4,5,1,8]=>[3,4,5,7,6,2,1,8]
[6,7,2,3,4,5,1,8]=>[3,4,5,1,7,6,2,8]
[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]
[7,4,5,3,2,6,1,8]=>[2,5,4,3,7,6,1,8]
[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]
[7,5,4,2,3,6,1,8]=>[4,5,3,2,7,6,1,8]
[7,4,5,2,3,6,1,8]=>[4,2,5,3,7,6,1,8]
[7,5,3,2,4,6,1,8]=>[4,3,5,2,7,6,1,8]
[7,4,2,3,5,6,1,8]=>[3,4,2,5,7,6,1,8]
[7,2,3,4,5,6,1,8]=>[2,3,4,5,7,6,1,8]
[6,5,4,3,2,7,1,8]=>[5,4,3,2,1,7,6,8]
[5,6,4,3,2,7,1,8]=>[1,5,4,3,2,7,6,8]
[5,4,6,3,2,7,1,8]=>[2,1,5,4,3,7,6,8]
[5,6,3,4,2,7,1,8]=>[3,1,5,4,2,7,6,8]
[6,3,4,5,2,7,1,8]=>[2,3,5,4,1,7,6,8]
[5,4,3,6,2,7,1,8]=>[3,2,1,5,4,7,6,8]
[4,5,3,6,2,7,1,8]=>[1,3,2,5,4,7,6,8]
[5,3,4,6,2,7,1,8]=>[2,3,1,5,4,7,6,8]
[4,3,5,6,2,7,1,8]=>[2,1,3,5,4,7,6,8]
[3,4,5,6,2,7,1,8]=>[1,2,3,5,4,7,6,8]
[5,4,6,2,3,7,1,8]=>[4,2,1,5,3,7,6,8]
[6,5,3,2,4,7,1,8]=>[4,3,5,2,1,7,6,8]
[6,4,2,3,5,7,1,8]=>[3,4,2,5,1,7,6,8]
[6,3,2,4,5,7,1,8]=>[3,2,4,5,1,7,6,8]
[6,2,3,4,5,7,1,8]=>[2,3,4,5,1,7,6,8]
[5,4,3,2,6,7,1,8]=>[4,3,2,1,5,7,6,8]
[3,4,5,2,6,7,1,8]=>[1,2,4,3,5,7,6,8]
[5,4,2,3,6,7,1,8]=>[3,4,2,1,5,7,6,8]
[4,5,2,3,6,7,1,8]=>[3,1,4,2,5,7,6,8]
[5,2,3,4,6,7,1,8]=>[2,3,4,1,5,7,6,8]
[4,3,2,5,6,7,1,8]=>[3,2,1,4,5,7,6,8]
[3,4,2,5,6,7,1,8]=>[1,3,2,4,5,7,6,8]
[4,2,3,5,6,7,1,8]=>[2,3,1,4,5,7,6,8]
[3,2,4,5,6,7,1,8]=>[2,1,3,4,5,7,6,8]
[2,3,4,5,6,7,1,8]=>[1,2,3,4,5,7,6,8]
[7,6,5,4,3,1,2,8]=>[6,7,5,4,3,2,1,8]
[6,7,5,4,3,1,2,8]=>[6,1,7,5,4,3,2,8]
[7,5,6,4,3,1,2,8]=>[6,2,7,5,4,3,1,8]
[7,6,4,5,3,1,2,8]=>[6,3,7,5,4,2,1,8]
[7,4,5,6,3,1,2,8]=>[2,6,3,7,5,4,1,8]
[5,4,6,7,3,1,2,8]=>[2,1,6,3,7,5,4,8]
[4,5,6,7,3,1,2,8]=>[1,2,6,3,7,5,4,8]
[7,6,5,3,4,1,2,8]=>[6,4,7,5,3,2,1,8]
[7,5,6,3,4,1,2,8]=>[6,4,2,7,5,3,1,8]
[6,5,7,3,4,1,2,8]=>[6,4,2,1,7,5,3,8]
[6,7,3,4,5,1,2,8]=>[3,6,4,1,7,5,2,8]
[7,5,3,4,6,1,2,8]=>[3,6,4,2,7,5,1,8]
[6,5,4,3,7,1,2,8]=>[6,4,3,2,1,7,5,8]
[6,4,5,3,7,1,2,8]=>[2,6,4,3,1,7,5,8]
[5,6,3,4,7,1,2,8]=>[3,1,6,4,2,7,5,8]
[6,4,3,5,7,1,2,8]=>[3,2,6,4,1,7,5,8]
[6,3,4,5,7,1,2,8]=>[2,3,6,4,1,7,5,8]
[4,3,5,6,7,1,2,8]=>[2,1,3,6,4,7,5,8]
[3,4,5,6,7,1,2,8]=>[1,2,3,6,4,7,5,8]
[7,6,5,4,2,1,3,8]=>[6,5,7,4,3,2,1,8]
[6,5,7,4,2,1,3,8]=>[6,5,2,1,7,4,3,8]
[7,6,4,5,2,1,3,8]=>[6,5,3,7,4,2,1,8]
[7,5,4,6,2,1,3,8]=>[6,5,3,2,7,4,1,8]
[7,4,5,6,2,1,3,8]=>[2,6,5,3,7,4,1,8]
[5,4,6,7,2,1,3,8]=>[2,1,6,5,3,7,4,8]
[4,5,6,7,2,1,3,8]=>[1,2,6,5,3,7,4,8]
[7,6,5,4,1,2,3,8]=>[5,6,7,4,3,2,1,8]
[7,5,6,4,1,2,3,8]=>[5,6,2,7,4,3,1,8]
[5,6,7,4,1,2,3,8]=>[5,1,6,2,7,4,3,8]
[7,6,4,5,1,2,3,8]=>[5,6,3,7,4,2,1,8]
[7,5,4,6,1,2,3,8]=>[5,6,3,2,7,4,1,8]
[7,4,5,6,1,2,3,8]=>[5,2,6,3,7,4,1,8]
[5,6,4,7,1,2,3,8]=>[5,1,6,3,2,7,4,8]
[5,4,6,7,1,2,3,8]=>[5,2,1,6,3,7,4,8]
[4,5,6,7,1,2,3,8]=>[1,5,2,6,3,7,4,8]
[7,6,5,3,2,1,4,8]=>[6,5,4,7,3,2,1,8]
[7,6,5,2,3,1,4,8]=>[4,6,5,7,3,2,1,8]
[6,7,5,2,3,1,4,8]=>[4,6,5,1,7,3,2,8]
[7,5,6,2,3,1,4,8]=>[4,6,5,2,7,3,1,8]
[6,5,7,2,3,1,4,8]=>[4,6,5,2,1,7,3,8]
[5,6,7,2,3,1,4,8]=>[4,1,6,5,2,7,3,8]
[7,5,6,3,1,2,4,8]=>[5,6,4,2,7,3,1,8]
[5,6,7,3,1,2,4,8]=>[5,1,6,4,2,7,3,8]
[7,6,5,2,1,3,4,8]=>[5,4,6,7,3,2,1,8]
[6,7,5,2,1,3,4,8]=>[5,4,6,1,7,3,2,8]
[7,5,6,2,1,3,4,8]=>[5,4,6,2,7,3,1,8]
[5,6,7,2,1,3,4,8]=>[5,4,1,6,2,7,3,8]
[7,6,5,1,2,3,4,8]=>[4,5,6,7,3,2,1,8]
[6,7,5,1,2,3,4,8]=>[4,5,6,1,7,3,2,8]
[7,5,6,1,2,3,4,8]=>[4,5,6,2,7,3,1,8]
[6,5,7,1,2,3,4,8]=>[4,5,6,2,1,7,3,8]
[5,6,7,1,2,3,4,8]=>[4,5,1,6,2,7,3,8]
[7,6,4,3,2,1,5,8]=>[6,5,4,3,7,2,1,8]
[6,7,4,3,2,1,5,8]=>[6,5,4,3,1,7,2,8]
[7,6,3,4,2,1,5,8]=>[3,6,5,4,7,2,1,8]
[6,7,3,4,2,1,5,8]=>[3,6,5,4,1,7,2,8]
[7,6,4,2,3,1,5,8]=>[4,6,5,3,7,2,1,8]
[6,7,4,2,3,1,5,8]=>[4,6,5,3,1,7,2,8]
[7,6,3,2,4,1,5,8]=>[4,3,6,5,7,2,1,8]
[6,7,3,2,4,1,5,8]=>[4,3,6,5,1,7,2,8]
[7,6,2,3,4,1,5,8]=>[3,4,6,5,7,2,1,8]
[6,7,2,3,4,1,5,8]=>[3,4,6,5,1,7,2,8]
[7,6,4,3,1,2,5,8]=>[5,6,4,3,7,2,1,8]
[6,7,3,4,1,2,5,8]=>[5,3,6,4,1,7,2,8]
[7,6,4,2,1,3,5,8]=>[5,4,6,3,7,2,1,8]
[7,6,3,2,1,4,5,8]=>[5,4,3,6,7,2,1,8]
[6,7,3,2,1,4,5,8]=>[5,4,3,6,1,7,2,8]
[7,6,2,3,1,4,5,8]=>[3,5,4,6,7,2,1,8]
[6,7,2,3,1,4,5,8]=>[3,5,4,6,1,7,2,8]
[6,7,3,1,2,4,5,8]=>[4,5,3,6,1,7,2,8]
[7,6,1,2,3,4,5,8]=>[3,4,5,6,7,2,1,8]
[6,7,1,2,3,4,5,8]=>[3,4,5,6,1,7,2,8]
[7,5,4,3,2,1,6,8]=>[6,5,4,3,2,7,1,8]
[7,4,5,3,2,1,6,8]=>[2,6,5,4,3,7,1,8]
[7,4,3,5,2,1,6,8]=>[3,2,6,5,4,7,1,8]
[7,3,4,5,2,1,6,8]=>[2,3,6,5,4,7,1,8]
[7,5,4,2,3,1,6,8]=>[4,6,5,3,2,7,1,8]
[7,5,3,2,4,1,6,8]=>[4,3,6,5,2,7,1,8]
[7,5,2,3,4,1,6,8]=>[3,4,6,5,2,7,1,8]
[7,4,2,3,5,1,6,8]=>[3,4,2,6,5,7,1,8]
[7,2,3,4,5,1,6,8]=>[2,3,4,6,5,7,1,8]
[7,5,4,3,1,2,6,8]=>[5,6,4,3,2,7,1,8]
[7,5,3,4,1,2,6,8]=>[5,3,6,4,2,7,1,8]
[7,4,5,2,1,3,6,8]=>[5,4,2,6,3,7,1,8]
[7,4,5,1,2,3,6,8]=>[4,5,2,6,3,7,1,8]
[7,5,3,2,1,4,6,8]=>[5,4,3,6,2,7,1,8]
[7,5,2,3,1,4,6,8]=>[3,5,4,6,2,7,1,8]
[7,5,3,1,2,4,6,8]=>[4,5,3,6,2,7,1,8]
[7,5,1,2,3,4,6,8]=>[3,4,5,6,2,7,1,8]
[7,4,3,2,1,5,6,8]=>[5,4,3,2,6,7,1,8]
[7,2,3,4,1,5,6,8]=>[2,3,5,4,6,7,1,8]
[7,4,3,1,2,5,6,8]=>[4,5,3,2,6,7,1,8]
[7,3,4,1,2,5,6,8]=>[4,2,5,3,6,7,1,8]
[7,4,1,2,3,5,6,8]=>[3,4,5,2,6,7,1,8]
[7,3,2,1,4,5,6,8]=>[4,3,2,5,6,7,1,8]
[7,2,3,1,4,5,6,8]=>[2,4,3,5,6,7,1,8]
[7,3,1,2,4,5,6,8]=>[3,4,2,5,6,7,1,8]
[7,2,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8]
[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]
[5,6,4,3,2,1,7,8]=>[1,6,5,4,3,2,7,8]
[5,4,6,3,2,1,7,8]=>[2,1,6,5,4,3,7,8]
[4,5,6,3,2,1,7,8]=>[1,2,6,5,4,3,7,8]
[6,5,3,4,2,1,7,8]=>[3,6,5,4,2,1,7,8]
[5,6,3,4,2,1,7,8]=>[3,1,6,5,4,2,7,8]
[6,3,4,5,2,1,7,8]=>[2,3,6,5,4,1,7,8]
[5,4,3,6,2,1,7,8]=>[3,2,1,6,5,4,7,8]
[3,4,5,6,2,1,7,8]=>[1,2,3,6,5,4,7,8]
[5,4,6,2,3,1,7,8]=>[4,2,1,6,5,3,7,8]
[5,6,3,2,4,1,7,8]=>[4,3,1,6,5,2,7,8]
[6,5,2,3,4,1,7,8]=>[3,4,6,5,2,1,7,8]
[5,6,2,3,4,1,7,8]=>[3,4,1,6,5,2,7,8]
[6,4,3,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]
[6,2,3,4,5,1,7,8]=>[2,3,4,6,5,1,7,8]
[5,4,3,2,6,1,7,8]=>[4,3,2,1,6,5,7,8]
[4,5,3,2,6,1,7,8]=>[1,4,3,2,6,5,7,8]
[4,3,5,2,6,1,7,8]=>[2,1,4,3,6,5,7,8]
[3,4,5,2,6,1,7,8]=>[1,2,4,3,6,5,7,8]
[5,3,2,4,6,1,7,8]=>[3,2,4,1,6,5,7,8]
[5,2,3,4,6,1,7,8]=>[2,3,4,1,6,5,7,8]
[4,3,2,5,6,1,7,8]=>[3,2,1,4,6,5,7,8]
[3,4,2,5,6,1,7,8]=>[1,3,2,4,6,5,7,8]
[4,2,3,5,6,1,7,8]=>[2,3,1,4,6,5,7,8]
[3,2,4,5,6,1,7,8]=>[2,1,3,4,6,5,7,8]
[2,3,4,5,6,1,7,8]=>[1,2,3,4,6,5,7,8]
[6,5,4,3,1,2,7,8]=>[5,6,4,3,2,1,7,8]
[5,6,4,3,1,2,7,8]=>[5,1,6,4,3,2,7,8]
[6,4,5,3,1,2,7,8]=>[5,2,6,4,3,1,7,8]
[5,4,6,3,1,2,7,8]=>[5,2,1,6,4,3,7,8]
[5,6,3,4,1,2,7,8]=>[5,3,1,6,4,2,7,8]
[6,4,3,5,1,2,7,8]=>[5,3,2,6,4,1,7,8]
[5,4,3,6,1,2,7,8]=>[5,3,2,1,6,4,7,8]
[4,3,5,6,1,2,7,8]=>[2,1,5,3,6,4,7,8]
[3,4,5,6,1,2,7,8]=>[1,2,5,3,6,4,7,8]
[6,5,4,2,1,3,7,8]=>[5,4,6,3,2,1,7,8]
[5,6,4,2,1,3,7,8]=>[5,4,1,6,3,2,7,8]
[6,4,5,2,1,3,7,8]=>[5,4,2,6,3,1,7,8]
[5,4,6,2,1,3,7,8]=>[5,4,2,1,6,3,7,8]
[4,5,6,2,1,3,7,8]=>[1,5,4,2,6,3,7,8]
[6,5,4,1,2,3,7,8]=>[4,5,6,3,2,1,7,8]
[4,5,6,1,2,3,7,8]=>[4,1,5,2,6,3,7,8]
[6,5,3,2,1,4,7,8]=>[5,4,3,6,2,1,7,8]
[5,6,3,2,1,4,7,8]=>[5,4,3,1,6,2,7,8]
[5,6,2,1,3,4,7,8]=>[4,3,5,1,6,2,7,8]
[6,5,1,2,3,4,7,8]=>[3,4,5,6,2,1,7,8]
[5,6,1,2,3,4,7,8]=>[3,4,5,1,6,2,7,8]
[6,4,3,2,1,5,7,8]=>[5,4,3,2,6,1,7,8]
[6,3,4,2,1,5,7,8]=>[2,5,4,3,6,1,7,8]
[6,4,3,1,2,5,7,8]=>[4,5,3,2,6,1,7,8]
[6,4,2,1,3,5,7,8]=>[4,3,5,2,6,1,7,8]
[6,4,1,2,3,5,7,8]=>[3,4,5,2,6,1,7,8]
[6,3,2,1,4,5,7,8]=>[4,3,2,5,6,1,7,8]
[6,2,3,1,4,5,7,8]=>[2,4,3,5,6,1,7,8]
[6,3,1,2,4,5,7,8]=>[3,4,2,5,6,1,7,8]
[6,2,1,3,4,5,7,8]=>[3,2,4,5,6,1,7,8]
[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]
[4,5,3,2,1,6,7,8]=>[1,5,4,3,2,6,7,8]
[5,3,4,2,1,6,7,8]=>[2,5,4,3,1,6,7,8]
[4,3,5,2,1,6,7,8]=>[2,1,5,4,3,6,7,8]
[3,4,5,2,1,6,7,8]=>[1,2,5,4,3,6,7,8]
[5,4,2,3,1,6,7,8]=>[3,5,4,2,1,6,7,8]
[4,5,2,3,1,6,7,8]=>[3,1,5,4,2,6,7,8]
[5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]
[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]
[4,3,2,5,1,6,7,8]=>[3,2,1,5,4,6,7,8]
[3,4,2,5,1,6,7,8]=>[1,3,2,5,4,6,7,8]
[4,2,3,5,1,6,7,8]=>[2,3,1,5,4,6,7,8]
[3,2,4,5,1,6,7,8]=>[2,1,3,5,4,6,7,8]
[2,3,4,5,1,6,7,8]=>[1,2,3,5,4,6,7,8]
[5,4,3,1,2,6,7,8]=>[4,5,3,2,1,6,7,8]
[5,3,4,1,2,6,7,8]=>[4,2,5,3,1,6,7,8]
[4,3,5,1,2,6,7,8]=>[4,2,1,5,3,6,7,8]
[3,4,5,1,2,6,7,8]=>[1,4,2,5,3,6,7,8]
[5,4,2,1,3,6,7,8]=>[4,3,5,2,1,6,7,8]
[4,5,2,1,3,6,7,8]=>[4,3,1,5,2,6,7,8]
[5,4,1,2,3,6,7,8]=>[3,4,5,2,1,6,7,8]
[4,5,1,2,3,6,7,8]=>[3,4,1,5,2,6,7,8]
[5,3,2,1,4,6,7,8]=>[4,3,2,5,1,6,7,8]
[5,2,3,1,4,6,7,8]=>[2,4,3,5,1,6,7,8]
[5,3,1,2,4,6,7,8]=>[3,4,2,5,1,6,7,8]
[5,2,1,3,4,6,7,8]=>[3,2,4,5,1,6,7,8]
[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]
[3,4,2,1,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]
[3,2,4,1,5,6,7,8]=>[2,1,4,3,5,6,7,8]
[2,3,4,1,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[4,3,1,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]
[3,4,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]
[4,2,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]
[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]
[2,3,1,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[6,8,7,5,4,3,2,1]=>[8,1,7,6,5,4,3,2]
[5,8,7,6,4,3,2,1]=>[8,7,1,6,5,4,3,2]
[5,7,8,6,4,3,2,1]=>[2,8,1,7,6,5,4,3]
[6,5,8,7,4,3,2,1]=>[1,8,2,7,6,5,4,3]
[5,6,8,7,4,3,2,1]=>[8,1,2,7,6,5,4,3]
[5,7,6,8,4,3,2,1]=>[3,1,2,8,7,6,5,4]
[4,8,7,6,5,3,2,1]=>[8,7,6,1,5,4,3,2]
[4,7,8,6,5,3,2,1]=>[2,8,7,1,6,5,4,3]
[4,6,8,7,5,3,2,1]=>[8,2,7,1,6,5,4,3]
[4,7,6,8,5,3,2,1]=>[3,2,8,1,7,6,5,4]
[4,6,7,8,5,3,2,1]=>[2,3,8,1,7,6,5,4]
[5,4,7,8,6,3,2,1]=>[1,3,8,2,7,6,5,4]
[4,5,8,7,6,3,2,1]=>[8,7,1,2,6,5,4,3]
[4,5,7,8,6,3,2,1]=>[3,8,1,2,7,6,5,4]
[6,5,4,8,7,3,2,1]=>[2,1,8,3,7,6,5,4]
[5,6,4,8,7,3,2,1]=>[1,2,8,3,7,6,5,4]
[4,6,5,8,7,3,2,1]=>[2,8,1,3,7,6,5,4]
[4,5,6,8,7,3,2,1]=>[8,1,2,3,7,6,5,4]
[5,7,6,4,8,3,2,1]=>[4,1,3,2,8,7,6,5]
[4,7,6,5,8,3,2,1]=>[4,3,1,2,8,7,6,5]
[4,6,7,5,8,3,2,1]=>[2,4,1,3,8,7,6,5]
[5,4,7,6,8,3,2,1]=>[1,4,2,3,8,7,6,5]
[4,5,7,6,8,3,2,1]=>[4,1,2,3,8,7,6,5]
[4,6,5,7,8,3,2,1]=>[3,1,2,4,8,7,6,5]
[3,8,7,6,5,4,2,1]=>[8,7,6,5,1,4,3,2]
[3,7,8,6,5,4,2,1]=>[2,8,7,6,1,5,4,3]
[3,6,8,7,5,4,2,1]=>[8,2,7,6,1,5,4,3]
[3,7,6,8,5,4,2,1]=>[3,2,8,7,1,6,5,4]
[3,5,8,7,6,4,2,1]=>[8,7,2,6,1,5,4,3]
[3,5,7,8,6,4,2,1]=>[3,8,2,7,1,6,5,4]
[3,5,6,8,7,4,2,1]=>[8,2,3,7,1,6,5,4]
[3,7,6,5,8,4,2,1]=>[4,3,2,8,1,7,6,5]
[3,6,7,5,8,4,2,1]=>[2,4,3,8,1,7,6,5]
[3,5,7,6,8,4,2,1]=>[4,2,3,8,1,7,6,5]
[3,5,6,7,8,4,2,1]=>[2,3,4,8,1,7,6,5]
[4,3,8,7,6,5,2,1]=>[8,7,1,6,2,5,4,3]
[4,3,7,8,6,5,2,1]=>[3,8,1,7,2,6,5,4]
[4,3,6,7,8,5,2,1]=>[1,3,4,8,2,7,6,5]
[3,4,8,7,6,5,2,1]=>[8,7,6,1,2,5,4,3]
[3,4,6,7,8,5,2,1]=>[3,4,8,1,2,7,6,5]
[5,4,3,8,7,6,2,1]=>[1,8,2,7,3,6,5,4]
[5,4,3,7,8,6,2,1]=>[2,1,4,8,3,7,6,5]
[4,5,3,7,8,6,2,1]=>[1,2,4,8,3,7,6,5]
[3,5,4,7,8,6,2,1]=>[2,4,8,1,3,7,6,5]
[4,3,5,7,8,6,2,1]=>[1,4,8,2,3,7,6,5]
[3,4,5,8,7,6,2,1]=>[8,7,1,2,3,6,5,4]
[3,4,5,7,8,6,2,1]=>[4,8,1,2,3,7,6,5]
[6,5,4,3,8,7,2,1]=>[3,2,1,8,4,7,6,5]
[5,6,4,3,8,7,2,1]=>[1,3,2,8,4,7,6,5]
[4,5,6,3,8,7,2,1]=>[1,2,3,8,4,7,6,5]
[3,6,5,4,8,7,2,1]=>[3,2,8,1,4,7,6,5]
[4,3,6,5,8,7,2,1]=>[1,3,8,2,4,7,6,5]
[5,4,3,6,8,7,2,1]=>[2,1,8,3,4,7,6,5]
[4,5,3,6,8,7,2,1]=>[1,2,8,3,4,7,6,5]
[4,3,5,6,8,7,2,1]=>[1,8,2,3,4,7,6,5]
[3,4,5,6,8,7,2,1]=>[8,1,2,3,4,7,6,5]
[5,7,6,4,3,8,2,1]=>[5,1,4,3,2,8,7,6]
[4,7,6,5,3,8,2,1]=>[5,4,1,3,2,8,7,6]
[5,4,7,6,3,8,2,1]=>[1,5,2,4,3,8,7,6]
[3,7,6,5,4,8,2,1]=>[5,4,3,1,2,8,7,6]
[3,5,7,6,4,8,2,1]=>[5,2,4,1,3,8,7,6]
[3,5,6,7,4,8,2,1]=>[2,3,5,1,4,8,7,6]
[4,3,7,6,5,8,2,1]=>[5,1,4,2,3,8,7,6]
[3,4,7,6,5,8,2,1]=>[5,4,1,2,3,8,7,6]
[3,4,6,7,5,8,2,1]=>[3,5,1,2,4,8,7,6]
[4,5,3,7,6,8,2,1]=>[1,2,5,3,4,8,7,6]
[3,5,4,7,6,8,2,1]=>[2,5,1,3,4,8,7,6]
[4,3,5,7,6,8,2,1]=>[1,5,2,3,4,8,7,6]
[3,4,5,7,6,8,2,1]=>[5,1,2,3,4,8,7,6]
[3,6,5,4,7,8,2,1]=>[4,3,1,2,5,8,7,6]
[3,5,6,4,7,8,2,1]=>[2,4,1,3,5,8,7,6]
[4,3,6,5,7,8,2,1]=>[1,4,2,3,5,8,7,6]
[3,4,6,5,7,8,2,1]=>[4,1,2,3,5,8,7,6]
[3,5,4,6,7,8,2,1]=>[3,1,2,4,5,8,7,6]
[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,1,3,2]
[2,7,8,6,5,4,3,1]=>[2,8,7,6,5,1,4,3]
[2,6,8,7,5,4,3,1]=>[8,2,7,6,5,1,4,3]
[2,7,6,8,5,4,3,1]=>[3,2,8,7,6,1,5,4]
[2,6,7,8,5,4,3,1]=>[2,3,8,7,6,1,5,4]
[2,5,8,7,6,4,3,1]=>[8,7,2,6,5,1,4,3]
[2,6,7,5,8,4,3,1]=>[2,4,3,8,7,1,6,5]
[2,6,5,7,8,4,3,1]=>[3,2,4,8,7,1,6,5]
[2,5,6,7,8,4,3,1]=>[2,3,4,8,7,1,6,5]
[2,4,8,7,6,5,3,1]=>[8,7,6,2,5,1,4,3]
[2,4,7,8,6,5,3,1]=>[3,8,7,2,6,1,5,4]
[2,4,6,8,7,5,3,1]=>[8,3,7,2,6,1,5,4]
[2,4,6,7,8,5,3,1]=>[3,4,8,2,7,1,6,5]
[2,5,4,8,7,6,3,1]=>[8,2,7,3,6,1,5,4]
[2,5,4,7,8,6,3,1]=>[2,4,8,3,7,1,6,5]
[2,4,5,7,8,6,3,1]=>[4,8,2,3,7,1,6,5]
[2,6,5,4,8,7,3,1]=>[3,2,8,4,7,1,6,5]
[2,5,6,4,8,7,3,1]=>[2,3,8,4,7,1,6,5]
[2,4,6,5,8,7,3,1]=>[3,8,2,4,7,1,6,5]
[2,4,5,6,8,7,3,1]=>[8,2,3,4,7,1,6,5]
[2,7,6,5,4,8,3,1]=>[5,4,3,2,8,1,7,6]
[2,6,7,5,4,8,3,1]=>[2,5,4,3,8,1,7,6]
[2,5,6,7,4,8,3,1]=>[2,3,5,4,8,1,7,6]
[2,4,7,6,5,8,3,1]=>[5,4,2,3,8,1,7,6]
[2,4,6,7,5,8,3,1]=>[3,5,2,4,8,1,7,6]
[2,5,4,7,6,8,3,1]=>[2,5,3,4,8,1,7,6]
[2,6,5,4,7,8,3,1]=>[4,3,2,5,8,1,7,6]
[2,5,6,4,7,8,3,1]=>[2,4,3,5,8,1,7,6]
[2,4,6,5,7,8,3,1]=>[4,2,3,5,8,1,7,6]
[2,5,4,6,7,8,3,1]=>[3,2,4,5,8,1,7,6]
[2,4,5,6,7,8,3,1]=>[2,3,4,5,8,1,7,6]
[3,2,8,7,6,5,4,1]=>[8,7,6,1,5,2,4,3]
[3,2,7,8,6,5,4,1]=>[3,8,7,1,6,2,5,4]
[3,2,6,8,7,5,4,1]=>[8,3,7,1,6,2,5,4]
[3,2,5,7,8,6,4,1]=>[4,8,1,3,7,2,6,5]
[3,2,6,5,8,7,4,1]=>[3,8,1,4,7,2,6,5]
[3,2,6,7,5,8,4,1]=>[3,5,1,4,8,2,7,6]
[3,2,5,7,6,8,4,1]=>[5,1,3,4,8,2,7,6]
[3,2,5,6,7,8,4,1]=>[1,3,4,5,8,2,7,6]
[2,3,8,7,6,5,4,1]=>[8,7,6,5,1,2,4,3]
[2,3,6,7,8,5,4,1]=>[3,4,8,7,1,2,6,5]
[2,3,5,8,7,6,4,1]=>[8,7,3,6,1,2,5,4]
[2,3,5,7,8,6,4,1]=>[4,8,3,7,1,2,6,5]
[2,3,6,5,8,7,4,1]=>[3,8,4,7,1,2,6,5]
[2,3,5,6,8,7,4,1]=>[8,3,4,7,1,2,6,5]
[2,3,7,6,5,8,4,1]=>[5,4,3,8,1,2,7,6]
[2,3,5,7,6,8,4,1]=>[5,3,4,8,1,2,7,6]
[2,3,5,6,7,8,4,1]=>[3,4,5,8,1,2,7,6]
[4,3,2,8,7,6,5,1]=>[8,1,7,2,6,3,5,4]
[4,3,2,7,8,6,5,1]=>[1,4,8,2,7,3,6,5]
[4,3,2,6,8,7,5,1]=>[1,8,2,4,7,3,6,5]
[3,4,2,8,7,6,5,1]=>[8,7,1,2,6,3,5,4]
[2,4,3,8,7,6,5,1]=>[8,7,2,6,1,3,5,4]
[2,4,3,6,8,7,5,1]=>[8,2,4,7,1,3,6,5]
[2,4,3,6,7,8,5,1]=>[2,4,5,8,1,3,7,6]
[3,2,4,8,7,6,5,1]=>[8,7,1,6,2,3,5,4]
[3,2,4,7,8,6,5,1]=>[4,8,1,7,2,3,6,5]
[2,3,4,8,7,6,5,1]=>[8,7,6,1,2,3,5,4]
[2,3,4,7,8,6,5,1]=>[4,8,7,1,2,3,6,5]
[2,3,4,6,8,7,5,1]=>[8,4,7,1,2,3,6,5]
[2,3,4,7,6,8,5,1]=>[5,4,8,1,2,3,7,6]
[2,3,4,6,7,8,5,1]=>[4,5,8,1,2,3,7,6]
[5,4,3,2,8,7,6,1]=>[2,1,8,3,7,4,6,5]
[5,4,3,2,7,8,6,1]=>[3,2,1,5,8,4,7,6]
[4,5,3,2,8,7,6,1]=>[1,2,8,3,7,4,6,5]
[3,5,4,2,7,8,6,1]=>[3,1,2,5,8,4,7,6]
[4,3,5,2,8,7,6,1]=>[1,8,2,3,7,4,6,5]
[3,4,5,2,7,8,6,1]=>[1,2,3,5,8,4,7,6]
[2,5,4,3,8,7,6,1]=>[2,8,3,7,1,4,6,5]
[2,5,4,3,7,8,6,1]=>[3,2,5,8,1,4,7,6]
[2,4,5,3,8,7,6,1]=>[8,2,3,7,1,4,6,5]
[2,4,5,3,7,8,6,1]=>[2,3,5,8,1,4,7,6]
[3,2,5,4,7,8,6,1]=>[1,3,5,8,2,4,7,6]
[2,3,5,4,8,7,6,1]=>[8,3,7,1,2,4,6,5]
[2,3,5,4,7,8,6,1]=>[3,5,8,1,2,4,7,6]
[4,3,2,5,8,7,6,1]=>[1,8,2,7,3,4,6,5]
[4,3,2,5,7,8,6,1]=>[2,1,5,8,3,4,7,6]
[3,4,2,5,8,7,6,1]=>[8,1,2,7,3,4,6,5]
[3,4,2,5,7,8,6,1]=>[1,2,5,8,3,4,7,6]
[2,4,3,5,8,7,6,1]=>[8,2,7,1,3,4,6,5]
[3,2,4,5,7,8,6,1]=>[1,5,8,2,3,4,7,6]
[2,3,4,5,8,7,6,1]=>[8,7,1,2,3,4,6,5]
[2,3,4,5,7,8,6,1]=>[5,8,1,2,3,4,7,6]
[6,5,4,3,2,8,7,1]=>[4,3,2,1,8,5,7,6]
[4,5,6,3,2,8,7,1]=>[1,2,4,3,8,5,7,6]
[3,6,5,4,2,8,7,1]=>[4,3,1,2,8,5,7,6]
[3,5,6,4,2,8,7,1]=>[2,4,1,3,8,5,7,6]
[4,3,6,5,2,8,7,1]=>[1,4,2,3,8,5,7,6]
[5,4,3,6,2,8,7,1]=>[3,2,1,4,8,5,7,6]
[4,5,3,6,2,8,7,1]=>[1,3,2,4,8,5,7,6]
[3,5,4,6,2,8,7,1]=>[3,1,2,4,8,5,7,6]
[3,4,5,6,2,8,7,1]=>[1,2,3,4,8,5,7,6]
[2,6,5,4,3,8,7,1]=>[4,3,2,8,1,5,7,6]
[2,4,6,5,3,8,7,1]=>[4,2,3,8,1,5,7,6]
[2,4,5,6,3,8,7,1]=>[2,3,4,8,1,5,7,6]
[3,2,6,5,4,8,7,1]=>[4,1,3,8,2,5,7,6]
[2,3,5,6,4,8,7,1]=>[3,4,8,1,2,5,7,6]
[4,3,2,6,5,8,7,1]=>[2,1,4,8,3,5,7,6]
[3,4,2,6,5,8,7,1]=>[1,2,4,8,3,5,7,6]
[2,4,3,6,5,8,7,1]=>[2,4,8,1,3,5,7,6]
[3,2,4,6,5,8,7,1]=>[1,4,8,2,3,5,7,6]
[2,3,4,6,5,8,7,1]=>[4,8,1,2,3,5,7,6]
[5,4,3,2,6,8,7,1]=>[3,2,1,8,4,5,7,6]
[4,5,3,2,6,8,7,1]=>[1,3,2,8,4,5,7,6]
[2,5,4,3,6,8,7,1]=>[3,2,8,1,4,5,7,6]
[2,4,5,3,6,8,7,1]=>[2,3,8,1,4,5,7,6]
[3,2,5,4,6,8,7,1]=>[1,3,8,2,4,5,7,6]
[4,3,2,5,6,8,7,1]=>[2,1,8,3,4,5,7,6]
[3,4,2,5,6,8,7,1]=>[1,2,8,3,4,5,7,6]
[2,4,3,5,6,8,7,1]=>[2,8,1,3,4,5,7,6]
[3,2,4,5,6,8,7,1]=>[1,8,2,3,4,5,7,6]
[2,3,4,5,6,8,7,1]=>[8,1,2,3,4,5,7,6]
[5,7,6,4,3,2,8,1]=>[6,1,5,4,3,2,8,7]
[4,7,6,5,3,2,8,1]=>[6,5,1,4,3,2,8,7]
[4,6,5,7,3,2,8,1]=>[3,1,2,6,5,4,8,7]
[3,5,7,6,4,2,8,1]=>[6,2,5,1,4,3,8,7]
[3,5,6,7,4,2,8,1]=>[2,3,6,1,5,4,8,7]
[4,3,7,6,5,2,8,1]=>[6,1,5,2,4,3,8,7]
[4,3,6,7,5,2,8,1]=>[1,3,6,2,5,4,8,7]
[3,4,7,6,5,2,8,1]=>[6,5,1,2,4,3,8,7]
[3,4,6,7,5,2,8,1]=>[3,6,1,2,5,4,8,7]
[4,5,3,7,6,2,8,1]=>[1,2,6,3,5,4,8,7]
[3,5,4,7,6,2,8,1]=>[2,6,1,3,5,4,8,7]
[3,4,5,7,6,2,8,1]=>[6,1,2,3,5,4,8,7]
[3,6,5,4,7,2,8,1]=>[4,3,1,2,6,5,8,7]
[3,5,6,4,7,2,8,1]=>[2,4,1,3,6,5,8,7]
[4,3,6,5,7,2,8,1]=>[1,4,2,3,6,5,8,7]
[3,4,6,5,7,2,8,1]=>[4,1,2,3,6,5,8,7]
[3,5,4,6,7,2,8,1]=>[3,1,2,4,6,5,8,7]
[2,7,6,5,4,3,8,1]=>[6,5,4,3,1,2,8,7]
[2,6,5,7,4,3,8,1]=>[3,2,6,5,1,4,8,7]
[2,5,6,7,4,3,8,1]=>[2,3,6,5,1,4,8,7]
[2,4,6,7,5,3,8,1]=>[3,6,2,5,1,4,8,7]
[2,5,4,7,6,3,8,1]=>[2,6,3,5,1,4,8,7]
[2,4,6,5,7,3,8,1]=>[4,2,3,6,1,5,8,7]
[2,5,4,6,7,3,8,1]=>[3,2,4,6,1,5,8,7]
[2,4,5,6,7,3,8,1]=>[2,3,4,6,1,5,8,7]
[3,2,7,6,5,4,8,1]=>[6,5,1,4,2,3,8,7]
[3,2,6,7,5,4,8,1]=>[3,6,1,5,2,4,8,7]
[3,2,5,7,6,4,8,1]=>[6,1,3,5,2,4,8,7]
[3,2,6,5,7,4,8,1]=>[4,1,3,6,2,5,8,7]
[3,2,5,6,7,4,8,1]=>[1,3,4,6,2,5,8,7]
[2,3,7,6,5,4,8,1]=>[6,5,4,1,2,3,8,7]
[2,3,5,7,6,4,8,1]=>[6,3,5,1,2,4,8,7]
[2,3,5,6,7,4,8,1]=>[3,4,6,1,2,5,8,7]
[4,3,2,7,6,5,8,1]=>[1,6,2,5,3,4,8,7]
[4,3,2,6,7,5,8,1]=>[2,1,4,6,3,5,8,7]
[3,4,2,7,6,5,8,1]=>[6,1,2,5,3,4,8,7]
[3,4,2,6,7,5,8,1]=>[1,2,4,6,3,5,8,7]
[2,4,3,7,6,5,8,1]=>[6,2,5,1,3,4,8,7]
[2,4,3,6,7,5,8,1]=>[2,4,6,1,3,5,8,7]
[3,2,4,7,6,5,8,1]=>[6,1,5,2,3,4,8,7]
[2,3,4,7,6,5,8,1]=>[6,5,1,2,3,4,8,7]
[2,3,4,6,7,5,8,1]=>[4,6,1,2,3,5,8,7]
[5,4,3,2,7,6,8,1]=>[3,2,1,6,4,5,8,7]
[3,5,4,2,7,6,8,1]=>[3,1,2,6,4,5,8,7]
[4,3,5,2,7,6,8,1]=>[2,1,3,6,4,5,8,7]
[3,4,5,2,7,6,8,1]=>[1,2,3,6,4,5,8,7]
[2,5,4,3,7,6,8,1]=>[3,2,6,1,4,5,8,7]
[3,2,5,4,7,6,8,1]=>[1,3,6,2,4,5,8,7]
[2,3,5,4,7,6,8,1]=>[3,6,1,2,4,5,8,7]
[4,3,2,5,7,6,8,1]=>[2,1,6,3,4,5,8,7]
[3,4,2,5,7,6,8,1]=>[1,2,6,3,4,5,8,7]
[2,4,3,5,7,6,8,1]=>[2,6,1,3,4,5,8,7]
[3,2,4,5,7,6,8,1]=>[1,6,2,3,4,5,8,7]
[2,3,4,5,7,6,8,1]=>[6,1,2,3,4,5,8,7]
[3,6,5,4,2,7,8,1]=>[5,4,1,3,2,6,8,7]
[3,5,6,4,2,7,8,1]=>[2,5,1,4,3,6,8,7]
[3,4,6,5,2,7,8,1]=>[5,1,2,4,3,6,8,7]
[3,5,4,6,2,7,8,1]=>[3,1,2,5,4,6,8,7]
[2,6,5,4,3,7,8,1]=>[5,4,3,1,2,6,8,7]
[2,5,6,4,3,7,8,1]=>[2,5,4,1,3,6,8,7]
[2,4,6,5,3,7,8,1]=>[5,2,4,1,3,6,8,7]
[2,5,4,6,3,7,8,1]=>[3,2,5,1,4,6,8,7]
[2,4,5,6,3,7,8,1]=>[2,3,5,1,4,6,8,7]
[3,2,5,6,4,7,8,1]=>[1,3,5,2,4,6,8,7]
[2,3,6,5,4,7,8,1]=>[5,4,1,2,3,6,8,7]
[2,3,5,6,4,7,8,1]=>[3,5,1,2,4,6,8,7]
[4,3,2,6,5,7,8,1]=>[2,1,5,3,4,6,8,7]
[3,4,2,6,5,7,8,1]=>[1,2,5,3,4,6,8,7]
[2,4,3,6,5,7,8,1]=>[2,5,1,3,4,6,8,7]
[2,3,4,6,5,7,8,1]=>[5,1,2,3,4,6,8,7]
[3,5,4,2,6,7,8,1]=>[4,1,3,2,5,6,8,7]
[2,5,4,3,6,7,8,1]=>[4,3,1,2,5,6,8,7]
[2,4,5,3,6,7,8,1]=>[2,4,1,3,5,6,8,7]
[3,2,5,4,6,7,8,1]=>[1,4,2,3,5,6,8,7]
[2,3,5,4,6,7,8,1]=>[4,1,2,3,5,6,8,7]
[2,4,3,5,6,7,8,1]=>[3,1,2,4,5,6,8,7]
[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]
[1,7,8,6,5,4,3,2]=>[2,8,7,6,5,4,1,3]
[1,6,8,7,5,4,3,2]=>[8,2,7,6,5,4,1,3]
[1,7,6,8,5,4,3,2]=>[3,2,8,7,6,5,1,4]
[1,6,7,8,5,4,3,2]=>[2,3,8,7,6,5,1,4]
[1,5,8,7,6,4,3,2]=>[8,7,2,6,5,4,1,3]
[1,6,5,8,7,4,3,2]=>[2,8,3,7,6,5,1,4]
[1,7,6,5,8,4,3,2]=>[4,3,2,8,7,6,1,5]
[1,6,7,5,8,4,3,2]=>[2,4,3,8,7,6,1,5]
[1,5,7,6,8,4,3,2]=>[4,2,3,8,7,6,1,5]
[1,6,5,7,8,4,3,2]=>[3,2,4,8,7,6,1,5]
[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]
[1,4,8,7,6,5,3,2]=>[8,7,6,2,5,4,1,3]
[1,4,7,8,6,5,3,2]=>[3,8,7,2,6,5,1,4]
[1,4,6,8,7,5,3,2]=>[8,3,7,2,6,5,1,4]
[1,4,6,7,8,5,3,2]=>[3,4,8,2,7,6,1,5]
[1,5,4,7,8,6,3,2]=>[2,4,8,3,7,6,1,5]
[1,4,5,8,7,6,3,2]=>[8,7,2,3,6,5,1,4]
[1,4,5,7,8,6,3,2]=>[4,8,2,3,7,6,1,5]
[1,6,5,4,8,7,3,2]=>[3,2,8,4,7,6,1,5]
[1,4,6,5,8,7,3,2]=>[3,8,2,4,7,6,1,5]
[1,5,4,6,8,7,3,2]=>[2,8,3,4,7,6,1,5]
[1,7,6,5,4,8,3,2]=>[5,4,3,2,8,7,1,6]
[1,4,7,6,5,8,3,2]=>[5,4,2,3,8,7,1,6]
[1,4,6,7,5,8,3,2]=>[3,5,2,4,8,7,1,6]
[1,6,5,4,7,8,3,2]=>[4,3,2,5,8,7,1,6]
[1,5,6,4,7,8,3,2]=>[2,4,3,5,8,7,1,6]
[1,5,4,6,7,8,3,2]=>[3,2,4,5,8,7,1,6]
[1,4,5,6,7,8,3,2]=>[2,3,4,5,8,7,1,6]
[1,3,8,7,6,5,4,2]=>[8,7,6,5,2,4,1,3]
[1,3,7,8,6,5,4,2]=>[3,8,7,6,2,5,1,4]
[1,3,6,8,7,5,4,2]=>[8,3,7,6,2,5,1,4]
[1,3,6,7,8,5,4,2]=>[3,4,8,7,2,6,1,5]
[1,3,5,8,7,6,4,2]=>[8,7,3,6,2,5,1,4]
[1,3,5,7,8,6,4,2]=>[4,8,3,7,2,6,1,5]
[1,3,5,6,8,7,4,2]=>[8,3,4,7,2,6,1,5]
[1,3,6,7,5,8,4,2]=>[3,5,4,8,2,7,1,6]
[1,3,5,7,6,8,4,2]=>[5,3,4,8,2,7,1,6]
[1,3,6,5,7,8,4,2]=>[4,3,5,8,2,7,1,6]
[1,3,5,6,7,8,4,2]=>[3,4,5,8,2,7,1,6]
[1,4,3,8,7,6,5,2]=>[8,7,2,6,3,5,1,4]
[1,4,3,7,8,6,5,2]=>[4,8,2,7,3,6,1,5]
[1,4,3,6,8,7,5,2]=>[8,2,4,7,3,6,1,5]
[1,4,3,7,6,8,5,2]=>[5,2,4,8,3,7,1,6]
[1,4,3,6,7,8,5,2]=>[2,4,5,8,3,7,1,6]
[1,3,4,8,7,6,5,2]=>[8,7,6,2,3,5,1,4]
[1,3,4,7,6,8,5,2]=>[5,4,8,2,3,7,1,6]
[1,3,4,6,7,8,5,2]=>[4,5,8,2,3,7,1,6]
[1,5,4,3,8,7,6,2]=>[2,8,3,7,4,6,1,5]
[1,4,5,3,8,7,6,2]=>[8,2,3,7,4,6,1,5]
[1,4,5,3,7,8,6,2]=>[2,3,5,8,4,7,1,6]
[1,3,5,4,8,7,6,2]=>[8,3,7,2,4,6,1,5]
[1,3,5,4,7,8,6,2]=>[3,5,8,2,4,7,1,6]
[1,4,3,5,8,7,6,2]=>[8,2,7,3,4,6,1,5]
[1,4,3,5,7,8,6,2]=>[2,5,8,3,4,7,1,6]
[1,3,4,5,8,7,6,2]=>[8,7,2,3,4,6,1,5]
[1,3,4,5,7,8,6,2]=>[5,8,2,3,4,7,1,6]
[1,6,5,4,3,8,7,2]=>[4,3,2,8,5,7,1,6]
[1,5,6,4,3,8,7,2]=>[2,4,3,8,5,7,1,6]
[1,4,6,5,3,8,7,2]=>[4,2,3,8,5,7,1,6]
[1,4,5,6,3,8,7,2]=>[2,3,4,8,5,7,1,6]
[1,3,6,5,4,8,7,2]=>[4,3,8,2,5,7,1,6]
[1,4,3,6,5,8,7,2]=>[2,4,8,3,5,7,1,6]
[1,5,4,3,6,8,7,2]=>[3,2,8,4,5,7,1,6]
[1,4,5,3,6,8,7,2]=>[2,3,8,4,5,7,1,6]
[1,3,4,5,6,8,7,2]=>[8,2,3,4,5,7,1,6]
[1,7,6,5,4,3,8,2]=>[6,5,4,3,2,8,1,7]
[1,6,7,5,4,3,8,2]=>[2,6,5,4,3,8,1,7]
[1,6,5,7,4,3,8,2]=>[3,2,6,5,4,8,1,7]
[1,5,6,7,4,3,8,2]=>[2,3,6,5,4,8,1,7]
[1,4,6,7,5,3,8,2]=>[3,6,2,5,4,8,1,7]
[1,5,6,4,7,3,8,2]=>[2,4,3,6,5,8,1,7]
[1,4,6,5,7,3,8,2]=>[4,2,3,6,5,8,1,7]
[1,5,4,6,7,3,8,2]=>[3,2,4,6,5,8,1,7]
[1,4,5,6,7,3,8,2]=>[2,3,4,6,5,8,1,7]
[1,3,5,7,6,4,8,2]=>[6,3,5,2,4,8,1,7]
[1,3,6,5,7,4,8,2]=>[4,3,6,2,5,8,1,7]
[1,3,5,6,7,4,8,2]=>[3,4,6,2,5,8,1,7]
[1,4,3,6,7,5,8,2]=>[2,4,6,3,5,8,1,7]
[1,3,4,7,6,5,8,2]=>[6,5,2,3,4,8,1,7]
[1,3,4,6,7,5,8,2]=>[4,6,2,3,5,8,1,7]
[1,3,5,4,7,6,8,2]=>[3,6,2,4,5,8,1,7]
[1,3,4,5,7,6,8,2]=>[6,2,3,4,5,8,1,7]
[1,6,5,4,3,7,8,2]=>[5,4,3,2,6,8,1,7]
[1,5,4,6,3,7,8,2]=>[3,2,5,4,6,8,1,7]
[1,3,5,6,4,7,8,2]=>[3,5,2,4,6,8,1,7]
[1,4,3,6,5,7,8,2]=>[2,5,3,4,6,8,1,7]
[1,3,4,6,5,7,8,2]=>[5,2,3,4,6,8,1,7]
[1,5,4,3,6,7,8,2]=>[4,3,2,5,6,8,1,7]
[1,4,5,3,6,7,8,2]=>[2,4,3,5,6,8,1,7]
[1,3,5,4,6,7,8,2]=>[4,2,3,5,6,8,1,7]
[1,4,3,5,6,7,8,2]=>[3,2,4,5,6,8,1,7]
[1,3,4,5,6,7,8,2]=>[2,3,4,5,6,8,1,7]
[2,1,8,7,6,5,4,3]=>[8,7,6,5,1,4,2,3]
[2,1,7,8,6,5,4,3]=>[3,8,7,6,1,5,2,4]
[2,1,6,8,7,5,4,3]=>[8,3,7,6,1,5,2,4]
[2,1,7,6,8,5,4,3]=>[4,3,8,7,1,6,2,5]
[2,1,6,7,8,5,4,3]=>[3,4,8,7,1,6,2,5]
[2,1,5,8,7,6,4,3]=>[8,7,3,6,1,5,2,4]
[2,1,5,7,8,6,4,3]=>[4,8,3,7,1,6,2,5]
[2,1,6,5,8,7,4,3]=>[3,8,4,7,1,6,2,5]
[2,1,5,6,8,7,4,3]=>[8,3,4,7,1,6,2,5]
[2,1,7,6,5,8,4,3]=>[5,4,3,8,1,7,2,6]
[2,1,6,7,5,8,4,3]=>[3,5,4,8,1,7,2,6]
[2,1,5,7,6,8,4,3]=>[5,3,4,8,1,7,2,6]
[2,1,6,5,7,8,4,3]=>[4,3,5,8,1,7,2,6]
[2,1,5,6,7,8,4,3]=>[3,4,5,8,1,7,2,6]
[2,1,4,8,7,6,5,3]=>[8,7,6,1,3,5,2,4]
[2,1,4,7,8,6,5,3]=>[4,8,7,1,3,6,2,5]
[2,1,4,6,8,7,5,3]=>[8,4,7,1,3,6,2,5]
[2,1,4,7,6,8,5,3]=>[5,4,8,1,3,7,2,6]
[2,1,4,6,7,8,5,3]=>[4,5,8,1,3,7,2,6]
[2,1,5,4,8,7,6,3]=>[8,3,7,1,4,6,2,5]
[2,1,5,4,7,8,6,3]=>[3,5,8,1,4,7,2,6]
[2,1,4,5,8,7,6,3]=>[8,7,1,3,4,6,2,5]
[2,1,4,5,7,8,6,3]=>[5,8,1,3,4,7,2,6]
[2,1,6,5,4,8,7,3]=>[4,3,8,1,5,7,2,6]
[2,1,5,6,4,8,7,3]=>[3,4,8,1,5,7,2,6]
[2,1,4,6,5,8,7,3]=>[4,8,1,3,5,7,2,6]
[2,1,5,4,6,8,7,3]=>[3,8,1,4,5,7,2,6]
[2,1,4,5,6,8,7,3]=>[8,1,3,4,5,7,2,6]
[2,1,7,6,5,4,8,3]=>[6,5,4,1,3,8,2,7]
[2,1,6,7,5,4,8,3]=>[3,6,5,1,4,8,2,7]
[2,1,5,7,6,4,8,3]=>[6,3,5,1,4,8,2,7]
[2,1,6,5,7,4,8,3]=>[4,3,6,1,5,8,2,7]
[2,1,5,6,7,4,8,3]=>[3,4,6,1,5,8,2,7]
[2,1,4,7,6,5,8,3]=>[6,5,1,3,4,8,2,7]
[2,1,4,6,7,5,8,3]=>[4,6,1,3,5,8,2,7]
[2,1,5,4,7,6,8,3]=>[3,6,1,4,5,8,2,7]
[2,1,5,6,4,7,8,3]=>[3,5,1,4,6,8,2,7]
[2,1,5,4,6,7,8,3]=>[4,1,3,5,6,8,2,7]
[2,1,4,5,6,7,8,3]=>[1,3,4,5,6,8,2,7]
[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]
[1,2,7,8,6,5,4,3]=>[3,8,7,6,5,1,2,4]
[1,2,7,6,8,5,4,3]=>[4,3,8,7,6,1,2,5]
[1,2,6,7,8,5,4,3]=>[3,4,8,7,6,1,2,5]
[1,2,5,8,7,6,4,3]=>[8,7,3,6,5,1,2,4]
[1,2,6,5,8,7,4,3]=>[3,8,4,7,6,1,2,5]
[1,2,5,6,8,7,4,3]=>[8,3,4,7,6,1,2,5]
[1,2,7,6,5,8,4,3]=>[5,4,3,8,7,1,2,6]
[1,2,5,7,6,8,4,3]=>[5,3,4,8,7,1,2,6]
[1,2,6,5,7,8,4,3]=>[4,3,5,8,7,1,2,6]
[1,2,5,6,7,8,4,3]=>[3,4,5,8,7,1,2,6]
[1,2,4,8,7,6,5,3]=>[8,7,6,3,5,1,2,4]
[1,2,4,7,8,6,5,3]=>[4,8,7,3,6,1,2,5]
[1,2,4,6,8,7,5,3]=>[8,4,7,3,6,1,2,5]
[1,2,4,7,6,8,5,3]=>[5,4,8,3,7,1,2,6]
[1,2,4,6,7,8,5,3]=>[4,5,8,3,7,1,2,6]
[1,2,5,4,8,7,6,3]=>[8,3,7,4,6,1,2,5]
[1,2,5,4,7,8,6,3]=>[3,5,8,4,7,1,2,6]
[1,2,4,5,8,7,6,3]=>[8,7,3,4,6,1,2,5]
[1,2,4,5,7,8,6,3]=>[5,8,3,4,7,1,2,6]
[1,2,6,5,4,8,7,3]=>[4,3,8,5,7,1,2,6]
[1,2,4,6,5,8,7,3]=>[4,8,3,5,7,1,2,6]
[1,2,5,4,6,8,7,3]=>[3,8,4,5,7,1,2,6]
[1,2,4,5,6,8,7,3]=>[8,3,4,5,7,1,2,6]
[1,2,7,6,5,4,8,3]=>[6,5,4,3,8,1,2,7]
[1,2,5,7,6,4,8,3]=>[6,3,5,4,8,1,2,7]
[1,2,5,6,7,4,8,3]=>[3,4,6,5,8,1,2,7]
[1,2,4,7,6,5,8,3]=>[6,5,3,4,8,1,2,7]
[1,2,5,4,7,6,8,3]=>[3,6,4,5,8,1,2,7]
[1,2,6,5,4,7,8,3]=>[5,4,3,6,8,1,2,7]
[1,2,5,6,4,7,8,3]=>[3,5,4,6,8,1,2,7]
[1,2,4,6,5,7,8,3]=>[5,3,4,6,8,1,2,7]
[1,2,5,4,6,7,8,3]=>[4,3,5,6,8,1,2,7]
[1,2,4,5,6,7,8,3]=>[3,4,5,6,8,1,2,7]
[3,2,1,8,7,6,5,4]=>[8,7,1,6,2,5,3,4]
[3,2,1,7,8,6,5,4]=>[4,8,1,7,2,6,3,5]
[3,2,1,6,8,7,5,4]=>[8,1,4,7,2,6,3,5]
[3,2,1,7,6,8,5,4]=>[5,1,4,8,2,7,3,6]
[3,2,1,6,7,8,5,4]=>[1,4,5,8,2,7,3,6]
[3,2,1,5,8,7,6,4]=>[8,1,7,2,4,6,3,5]
[3,2,1,5,7,8,6,4]=>[1,5,8,2,4,7,3,6]
[3,2,1,6,5,8,7,4]=>[1,4,8,2,5,7,3,6]
[3,2,1,5,6,8,7,4]=>[1,8,2,4,5,7,3,6]
[3,2,1,7,6,5,8,4]=>[6,1,5,2,4,8,3,7]
[3,2,1,6,7,5,8,4]=>[1,4,6,2,5,8,3,7]
[3,2,1,5,7,6,8,4]=>[1,6,2,4,5,8,3,7]
[3,2,1,6,5,7,8,4]=>[1,5,2,4,6,8,3,7]
[3,2,1,5,6,7,8,4]=>[2,1,4,5,6,8,3,7]
[2,3,1,8,7,6,5,4]=>[8,7,6,1,2,5,3,4]
[2,3,1,7,8,6,5,4]=>[4,8,7,1,2,6,3,5]
[2,3,1,6,8,7,5,4]=>[8,4,7,1,2,6,3,5]
[2,3,1,7,6,8,5,4]=>[5,4,8,1,2,7,3,6]
[2,3,1,6,7,8,5,4]=>[4,5,8,1,2,7,3,6]
[2,3,1,5,7,8,6,4]=>[5,8,1,2,4,7,3,6]
[2,3,1,6,5,8,7,4]=>[4,8,1,2,5,7,3,6]
[2,3,1,7,6,5,8,4]=>[6,5,1,2,4,8,3,7]
[2,3,1,6,7,5,8,4]=>[4,6,1,2,5,8,3,7]
[2,3,1,5,7,6,8,4]=>[6,1,2,4,5,8,3,7]
[2,3,1,5,6,7,8,4]=>[1,2,4,5,6,8,3,7]
[1,3,2,8,7,6,5,4]=>[8,7,6,2,5,1,3,4]
[1,3,2,6,8,7,5,4]=>[8,4,7,2,6,1,3,5]
[1,3,2,7,6,8,5,4]=>[5,4,8,2,7,1,3,6]
[1,3,2,6,7,8,5,4]=>[4,5,8,2,7,1,3,6]
[1,3,2,5,7,8,6,4]=>[5,8,2,4,7,1,3,6]
[1,3,2,6,5,8,7,4]=>[4,8,2,5,7,1,3,6]
[1,3,2,5,6,8,7,4]=>[8,2,4,5,7,1,3,6]
[1,3,2,7,6,5,8,4]=>[6,5,2,4,8,1,3,7]
[1,3,2,6,7,5,8,4]=>[4,6,2,5,8,1,3,7]
[1,3,2,5,7,6,8,4]=>[6,2,4,5,8,1,3,7]
[1,3,2,6,5,7,8,4]=>[5,2,4,6,8,1,3,7]
[1,3,2,5,6,7,8,4]=>[2,4,5,6,8,1,3,7]
[2,1,3,8,7,6,5,4]=>[8,7,6,1,5,2,3,4]
[2,1,3,7,8,6,5,4]=>[4,8,7,1,6,2,3,5]
[2,1,3,6,8,7,5,4]=>[8,4,7,1,6,2,3,5]
[2,1,3,6,7,8,5,4]=>[4,5,8,1,7,2,3,6]
[2,1,3,6,5,8,7,4]=>[4,8,1,5,7,2,3,6]
[2,1,3,5,7,6,8,4]=>[6,1,4,5,8,2,3,7]
[2,1,3,5,6,7,8,4]=>[1,4,5,6,8,2,3,7]
[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]
[1,2,3,7,8,6,5,4]=>[4,8,7,6,1,2,3,5]
[1,2,3,6,8,7,5,4]=>[8,4,7,6,1,2,3,5]
[1,2,3,7,6,8,5,4]=>[5,4,8,7,1,2,3,6]
[1,2,3,6,7,8,5,4]=>[4,5,8,7,1,2,3,6]
[1,2,3,5,8,7,6,4]=>[8,7,4,6,1,2,3,5]
[1,2,3,5,7,8,6,4]=>[5,8,4,7,1,2,3,6]
[1,2,3,6,5,8,7,4]=>[4,8,5,7,1,2,3,6]
[1,2,3,5,6,8,7,4]=>[8,4,5,7,1,2,3,6]
[1,2,3,7,6,5,8,4]=>[6,5,4,8,1,2,3,7]
[1,2,3,6,7,5,8,4]=>[4,6,5,8,1,2,3,7]
[1,2,3,5,7,6,8,4]=>[6,4,5,8,1,2,3,7]
[1,2,3,6,5,7,8,4]=>[5,4,6,8,1,2,3,7]
[1,2,3,5,6,7,8,4]=>[4,5,6,8,1,2,3,7]
[4,3,2,1,8,7,6,5]=>[1,8,2,7,3,6,4,5]
[4,3,2,1,7,8,6,5]=>[2,1,5,8,3,7,4,6]
[4,3,2,1,6,8,7,5]=>[2,1,8,3,5,7,4,6]
[4,3,2,1,7,6,8,5]=>[2,1,6,3,5,8,4,7]
[4,3,2,1,6,7,8,5]=>[3,2,1,5,6,8,4,7]
[3,4,2,1,8,7,6,5]=>[8,1,2,7,3,6,4,5]
[3,4,2,1,7,8,6,5]=>[1,2,5,8,3,7,4,6]
[3,4,2,1,6,8,7,5]=>[1,2,8,3,5,7,4,6]
[3,4,2,1,7,6,8,5]=>[1,2,6,3,5,8,4,7]
[3,4,2,1,6,7,8,5]=>[1,3,2,5,6,8,4,7]
[2,4,3,1,8,7,6,5]=>[8,2,7,1,3,6,4,5]
[2,4,3,1,7,8,6,5]=>[2,5,8,1,3,7,4,6]
[2,4,3,1,6,8,7,5]=>[2,8,1,3,5,7,4,6]
[2,4,3,1,7,6,8,5]=>[2,6,1,3,5,8,4,7]
[2,4,3,1,6,7,8,5]=>[3,1,2,5,6,8,4,7]
[3,2,4,1,8,7,6,5]=>[8,1,7,2,3,6,4,5]
[3,2,4,1,7,8,6,5]=>[1,5,8,2,3,7,4,6]
[3,2,4,1,6,8,7,5]=>[1,8,2,3,5,7,4,6]
[3,2,4,1,7,6,8,5]=>[1,6,2,3,5,8,4,7]
[3,2,4,1,6,7,8,5]=>[2,1,3,5,6,8,4,7]
[2,3,4,1,8,7,6,5]=>[8,7,1,2,3,6,4,5]
[2,3,4,1,7,8,6,5]=>[5,8,1,2,3,7,4,6]
[2,3,4,1,6,8,7,5]=>[8,1,2,3,5,7,4,6]
[2,3,4,1,7,6,8,5]=>[6,1,2,3,5,8,4,7]
[2,3,4,1,6,7,8,5]=>[1,2,3,5,6,8,4,7]
[1,4,3,2,8,7,6,5]=>[8,2,7,3,6,1,4,5]
[1,4,3,2,6,8,7,5]=>[2,8,3,5,7,1,4,6]
[1,4,3,2,7,6,8,5]=>[2,6,3,5,8,1,4,7]
[1,4,3,2,6,7,8,5]=>[3,2,5,6,8,1,4,7]
[1,3,4,2,8,7,6,5]=>[8,7,2,3,6,1,4,5]
[1,3,4,2,7,8,6,5]=>[5,8,2,3,7,1,4,6]
[1,3,4,2,6,8,7,5]=>[8,2,3,5,7,1,4,6]
[1,3,4,2,7,6,8,5]=>[6,2,3,5,8,1,4,7]
[1,3,4,2,6,7,8,5]=>[2,3,5,6,8,1,4,7]
[2,1,4,3,8,7,6,5]=>[8,7,1,3,6,2,4,5]
[2,1,4,3,7,8,6,5]=>[5,8,1,3,7,2,4,6]
[2,1,4,3,6,8,7,5]=>[8,1,3,5,7,2,4,6]
[2,1,4,3,7,6,8,5]=>[6,1,3,5,8,2,4,7]
[2,1,4,3,6,7,8,5]=>[1,3,5,6,8,2,4,7]
[1,2,4,3,8,7,6,5]=>[8,7,3,6,1,2,4,5]
[1,2,4,3,7,8,6,5]=>[5,8,3,7,1,2,4,6]
[1,2,4,3,6,8,7,5]=>[8,3,5,7,1,2,4,6]
[1,2,4,3,7,6,8,5]=>[6,3,5,8,1,2,4,7]
[1,2,4,3,6,7,8,5]=>[3,5,6,8,1,2,4,7]
[3,2,1,4,8,7,6,5]=>[8,1,7,2,6,3,4,5]
[3,2,1,4,7,8,6,5]=>[1,5,8,2,7,3,4,6]
[3,2,1,4,6,8,7,5]=>[1,8,2,5,7,3,4,6]
[3,2,1,4,7,6,8,5]=>[1,6,2,5,8,3,4,7]
[3,2,1,4,6,7,8,5]=>[2,1,5,6,8,3,4,7]
[2,3,1,4,8,7,6,5]=>[8,7,1,2,6,3,4,5]
[2,3,1,4,7,6,8,5]=>[6,1,2,5,8,3,4,7]
[2,3,1,4,6,7,8,5]=>[1,2,5,6,8,3,4,7]
[1,3,2,4,8,7,6,5]=>[8,7,2,6,1,3,4,5]
[1,3,2,4,6,8,7,5]=>[8,2,5,7,1,3,4,6]
[1,3,2,4,7,6,8,5]=>[6,2,5,8,1,3,4,7]
[1,3,2,4,6,7,8,5]=>[2,5,6,8,1,3,4,7]
[2,1,3,4,8,7,6,5]=>[8,7,1,6,2,3,4,5]
[2,1,3,4,7,8,6,5]=>[5,8,1,7,2,3,4,6]
[2,1,3,4,7,6,8,5]=>[6,1,5,8,2,3,4,7]
[2,1,3,4,6,7,8,5]=>[1,5,6,8,2,3,4,7]
[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]
[1,2,3,4,7,8,6,5]=>[5,8,7,1,2,3,4,6]
[1,2,3,4,6,8,7,5]=>[8,5,7,1,2,3,4,6]
[1,2,3,4,7,6,8,5]=>[6,5,8,1,2,3,4,7]
[1,2,3,4,6,7,8,5]=>[5,6,8,1,2,3,4,7]
[5,4,3,2,1,8,7,6]=>[3,2,1,8,4,7,5,6]
[5,4,3,2,1,7,8,6]=>[4,3,2,1,6,8,5,7]
[4,5,3,2,1,8,7,6]=>[1,3,2,8,4,7,5,6]
[3,5,4,2,1,8,7,6]=>[3,1,2,8,4,7,5,6]
[3,5,4,2,1,7,8,6]=>[4,1,3,2,6,8,5,7]
[4,3,5,2,1,8,7,6]=>[2,1,3,8,4,7,5,6]
[3,4,5,2,1,8,7,6]=>[1,2,3,8,4,7,5,6]
[3,4,5,2,1,7,8,6]=>[1,2,4,3,6,8,5,7]
[2,5,4,3,1,8,7,6]=>[3,2,8,1,4,7,5,6]
[2,5,4,3,1,7,8,6]=>[4,3,1,2,6,8,5,7]
[2,4,5,3,1,8,7,6]=>[2,3,8,1,4,7,5,6]
[2,4,5,3,1,7,8,6]=>[2,4,1,3,6,8,5,7]
[3,2,5,4,1,8,7,6]=>[1,3,8,2,4,7,5,6]
[3,2,5,4,1,7,8,6]=>[1,4,2,3,6,8,5,7]
[2,3,5,4,1,8,7,6]=>[3,8,1,2,4,7,5,6]
[4,3,2,5,1,8,7,6]=>[2,1,8,3,4,7,5,6]
[4,3,2,5,1,7,8,6]=>[3,2,1,4,6,8,5,7]
[3,4,2,5,1,8,7,6]=>[1,2,8,3,4,7,5,6]
[3,4,2,5,1,7,8,6]=>[1,3,2,4,6,8,5,7]
[2,4,3,5,1,8,7,6]=>[2,8,1,3,4,7,5,6]
[2,4,3,5,1,7,8,6]=>[3,1,2,4,6,8,5,7]
[3,2,4,5,1,8,7,6]=>[1,8,2,3,4,7,5,6]
[2,3,4,5,1,8,7,6]=>[8,1,2,3,4,7,5,6]
[2,3,4,5,1,7,8,6]=>[1,2,3,4,6,8,5,7]
[1,5,4,3,2,8,7,6]=>[3,2,8,4,7,1,5,6]
[1,4,5,3,2,8,7,6]=>[2,3,8,4,7,1,5,6]
[1,4,5,3,2,7,8,6]=>[2,4,3,6,8,1,5,7]
[1,3,5,4,2,7,8,6]=>[4,2,3,6,8,1,5,7]
[1,4,3,5,2,8,7,6]=>[2,8,3,4,7,1,5,6]
[1,4,3,5,2,7,8,6]=>[3,2,4,6,8,1,5,7]
[1,3,4,5,2,8,7,6]=>[8,2,3,4,7,1,5,6]
[1,3,4,5,2,7,8,6]=>[2,3,4,6,8,1,5,7]
[2,1,5,4,3,8,7,6]=>[3,8,1,4,7,2,5,6]
[2,1,4,5,3,8,7,6]=>[8,1,3,4,7,2,5,6]
[1,2,5,4,3,8,7,6]=>[3,8,4,7,1,2,5,6]
[1,2,5,4,3,7,8,6]=>[4,3,6,8,1,2,5,7]
[1,2,4,5,3,8,7,6]=>[8,3,4,7,1,2,5,6]
[1,2,4,5,3,7,8,6]=>[3,4,6,8,1,2,5,7]
[1,3,2,5,4,8,7,6]=>[8,2,4,7,1,3,5,6]
[1,3,2,5,4,7,8,6]=>[2,4,6,8,1,3,5,7]
[2,1,3,5,4,8,7,6]=>[8,1,4,7,2,3,5,6]
[2,1,3,5,4,7,8,6]=>[1,4,6,8,2,3,5,7]
[1,2,3,5,4,8,7,6]=>[8,4,7,1,2,3,5,6]
[1,2,3,5,4,7,8,6]=>[4,6,8,1,2,3,5,7]
[4,3,2,1,5,8,7,6]=>[2,1,8,3,7,4,5,6]
[4,3,2,1,5,7,8,6]=>[3,2,1,6,8,4,5,7]
[3,4,2,1,5,8,7,6]=>[1,2,8,3,7,4,5,6]
[2,4,3,1,5,8,7,6]=>[2,8,1,3,7,4,5,6]
[3,2,4,1,5,8,7,6]=>[1,8,2,3,7,4,5,6]
[3,2,4,1,5,7,8,6]=>[2,1,3,6,8,4,5,7]
[2,3,4,1,5,8,7,6]=>[8,1,2,3,7,4,5,6]
[2,3,4,1,5,7,8,6]=>[1,2,3,6,8,4,5,7]
[1,4,3,2,5,8,7,6]=>[2,8,3,7,1,4,5,6]
[1,4,3,2,5,7,8,6]=>[3,2,6,8,1,4,5,7]
[1,3,4,2,5,8,7,6]=>[8,2,3,7,1,4,5,6]
[1,3,4,2,5,7,8,6]=>[2,3,6,8,1,4,5,7]
[2,1,4,3,5,8,7,6]=>[8,1,3,7,2,4,5,6]
[2,1,4,3,5,7,8,6]=>[1,3,6,8,2,4,5,7]
[1,2,4,3,5,8,7,6]=>[8,3,7,1,2,4,5,6]
[1,2,4,3,5,7,8,6]=>[3,6,8,1,2,4,5,7]
[3,2,1,4,5,8,7,6]=>[1,8,2,7,3,4,5,6]
[3,2,1,4,5,7,8,6]=>[2,1,6,8,3,4,5,7]
[2,3,1,4,5,7,8,6]=>[1,2,6,8,3,4,5,7]
[1,3,2,4,5,8,7,6]=>[8,2,7,1,3,4,5,6]
[1,3,2,4,5,7,8,6]=>[2,6,8,1,3,4,5,7]
[2,1,3,4,5,8,7,6]=>[8,1,7,2,3,4,5,6]
[2,1,3,4,5,7,8,6]=>[1,6,8,2,3,4,5,7]
[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]
[1,2,3,4,5,7,8,6]=>[6,8,1,2,3,4,5,7]
[6,5,4,3,2,1,8,7]=>[5,4,3,2,1,8,6,7]
[5,6,4,3,2,1,8,7]=>[1,5,4,3,2,8,6,7]
[4,6,5,3,2,1,8,7]=>[5,1,4,3,2,8,6,7]
[5,4,6,3,2,1,8,7]=>[2,1,5,4,3,8,6,7]
[4,5,6,3,2,1,8,7]=>[1,2,5,4,3,8,6,7]
[3,6,5,4,2,1,8,7]=>[5,4,1,3,2,8,6,7]
[3,5,6,4,2,1,8,7]=>[2,5,1,4,3,8,6,7]
[4,3,6,5,2,1,8,7]=>[1,5,2,4,3,8,6,7]
[3,4,6,5,2,1,8,7]=>[5,1,2,4,3,8,6,7]
[5,4,3,6,2,1,8,7]=>[3,2,1,5,4,8,6,7]
[4,5,3,6,2,1,8,7]=>[1,3,2,5,4,8,6,7]
[4,3,5,6,2,1,8,7]=>[2,1,3,5,4,8,6,7]
[3,4,5,6,2,1,8,7]=>[1,2,3,5,4,8,6,7]
[2,6,5,4,3,1,8,7]=>[5,4,3,1,2,8,6,7]
[2,5,6,4,3,1,8,7]=>[2,5,4,1,3,8,6,7]
[2,4,6,5,3,1,8,7]=>[5,2,4,1,3,8,6,7]
[3,2,6,5,4,1,8,7]=>[5,1,4,2,3,8,6,7]
[3,2,5,6,4,1,8,7]=>[1,3,5,2,4,8,6,7]
[2,3,6,5,4,1,8,7]=>[5,4,1,2,3,8,6,7]
[2,3,5,6,4,1,8,7]=>[3,5,1,2,4,8,6,7]
[4,3,2,6,5,1,8,7]=>[2,1,5,3,4,8,6,7]
[3,4,2,6,5,1,8,7]=>[1,2,5,3,4,8,6,7]
[2,4,3,6,5,1,8,7]=>[2,5,1,3,4,8,6,7]
[5,4,3,2,6,1,8,7]=>[4,3,2,1,5,8,6,7]
[4,5,3,2,6,1,8,7]=>[1,4,3,2,5,8,6,7]
[3,5,4,2,6,1,8,7]=>[4,1,3,2,5,8,6,7]
[4,3,5,2,6,1,8,7]=>[2,1,4,3,5,8,6,7]
[3,4,5,2,6,1,8,7]=>[1,2,4,3,5,8,6,7]
[2,5,4,3,6,1,8,7]=>[4,3,1,2,5,8,6,7]
[2,4,5,3,6,1,8,7]=>[2,4,1,3,5,8,6,7]
[3,2,5,4,6,1,8,7]=>[1,4,2,3,5,8,6,7]
[4,3,2,5,6,1,8,7]=>[3,2,1,4,5,8,6,7]
[3,4,2,5,6,1,8,7]=>[1,3,2,4,5,8,6,7]
[2,3,4,5,6,1,8,7]=>[1,2,3,4,5,8,6,7]
[1,6,5,4,3,2,8,7]=>[5,4,3,2,8,1,6,7]
[1,5,6,4,3,2,8,7]=>[2,5,4,3,8,1,6,7]
[1,3,4,5,6,2,8,7]=>[2,3,4,5,8,1,6,7]
[2,1,6,5,4,3,8,7]=>[5,4,1,3,8,2,6,7]
[2,1,5,6,4,3,8,7]=>[3,5,1,4,8,2,6,7]
[2,1,4,6,5,3,8,7]=>[5,1,3,4,8,2,6,7]
[2,1,5,4,6,3,8,7]=>[4,1,3,5,8,2,6,7]
[2,1,4,5,6,3,8,7]=>[1,3,4,5,8,2,6,7]
[1,2,4,5,6,3,8,7]=>[3,4,5,8,1,2,6,7]
[3,2,1,6,5,4,8,7]=>[1,5,2,4,8,3,6,7]
[2,3,1,6,5,4,8,7]=>[5,1,2,4,8,3,6,7]
[1,3,2,6,5,4,8,7]=>[5,2,4,8,1,3,6,7]
[1,3,2,5,6,4,8,7]=>[2,4,5,8,1,3,6,7]
[2,1,3,6,5,4,8,7]=>[5,1,4,8,2,3,6,7]
[2,1,3,5,6,4,8,7]=>[1,4,5,8,2,3,6,7]
[1,2,3,6,5,4,8,7]=>[5,4,8,1,2,3,6,7]
[1,2,3,5,6,4,8,7]=>[4,5,8,1,2,3,6,7]
[4,3,2,1,6,5,8,7]=>[3,2,1,5,8,4,6,7]
[3,4,2,1,6,5,8,7]=>[1,3,2,5,8,4,6,7]
[2,4,3,1,6,5,8,7]=>[3,1,2,5,8,4,6,7]
[3,2,4,1,6,5,8,7]=>[2,1,3,5,8,4,6,7]
[2,3,4,1,6,5,8,7]=>[1,2,3,5,8,4,6,7]
[1,3,4,2,6,5,8,7]=>[2,3,5,8,1,4,6,7]
[2,1,4,3,6,5,8,7]=>[1,3,5,8,2,4,6,7]
[1,2,4,3,6,5,8,7]=>[3,5,8,1,2,4,6,7]
[2,3,1,4,6,5,8,7]=>[1,2,5,8,3,4,6,7]
[1,3,2,4,6,5,8,7]=>[2,5,8,1,3,4,6,7]
[2,1,3,4,6,5,8,7]=>[1,5,8,2,3,4,6,7]
[1,2,3,4,6,5,8,7]=>[5,8,1,2,3,4,6,7]
[5,4,3,2,1,6,8,7]=>[4,3,2,1,8,5,6,7]
[4,5,3,2,1,6,8,7]=>[1,4,3,2,8,5,6,7]
[3,5,4,2,1,6,8,7]=>[4,1,3,2,8,5,6,7]
[3,4,5,2,1,6,8,7]=>[1,2,4,3,8,5,6,7]
[2,5,4,3,1,6,8,7]=>[4,3,1,2,8,5,6,7]
[2,4,5,3,1,6,8,7]=>[2,4,1,3,8,5,6,7]
[3,2,5,4,1,6,8,7]=>[1,4,2,3,8,5,6,7]
[2,4,3,5,1,6,8,7]=>[3,1,2,4,8,5,6,7]
[2,3,4,5,1,6,8,7]=>[1,2,3,4,8,5,6,7]
[1,4,5,3,2,6,8,7]=>[2,4,3,8,1,5,6,7]
[1,3,5,4,2,6,8,7]=>[4,2,3,8,1,5,6,7]
[1,3,4,5,2,6,8,7]=>[2,3,4,8,1,5,6,7]
[2,1,5,4,3,6,8,7]=>[4,1,3,8,2,5,6,7]
[2,1,4,5,3,6,8,7]=>[1,3,4,8,2,5,6,7]
[1,2,5,4,3,6,8,7]=>[4,3,8,1,2,5,6,7]
[2,1,3,5,4,6,8,7]=>[1,4,8,2,3,5,6,7]
[1,2,3,5,4,6,8,7]=>[4,8,1,2,3,5,6,7]
[4,3,2,1,5,6,8,7]=>[3,2,1,8,4,5,6,7]
[3,4,2,1,5,6,8,7]=>[1,3,2,8,4,5,6,7]
[3,2,4,1,5,6,8,7]=>[2,1,3,8,4,5,6,7]
[2,3,4,1,5,6,8,7]=>[1,2,3,8,4,5,6,7]
[1,4,3,2,5,6,8,7]=>[3,2,8,1,4,5,6,7]
[1,3,4,2,5,6,8,7]=>[2,3,8,1,4,5,6,7]
[2,1,4,3,5,6,8,7]=>[1,3,8,2,4,5,6,7]
[1,2,4,3,5,6,8,7]=>[3,8,1,2,4,5,6,7]
[3,2,1,4,5,6,8,7]=>[2,1,8,3,4,5,6,7]
[2,3,1,4,5,6,8,7]=>[1,2,8,3,4,5,6,7]
[1,3,2,4,5,6,8,7]=>[2,8,1,3,4,5,6,7]
[2,1,3,4,5,6,8,7]=>[1,8,2,3,4,5,6,7]
[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]
[5,7,6,4,3,2,1,8]=>[7,1,6,5,4,3,2,8]
[4,7,6,5,3,2,1,8]=>[7,6,1,5,4,3,2,8]
[4,6,7,5,3,2,1,8]=>[2,7,1,6,5,4,3,8]
[5,4,7,6,3,2,1,8]=>[1,7,2,6,5,4,3,8]
[4,5,7,6,3,2,1,8]=>[7,1,2,6,5,4,3,8]
[4,6,5,7,3,2,1,8]=>[3,1,2,7,6,5,4,8]
[3,5,7,6,4,2,1,8]=>[7,2,6,1,5,4,3,8]
[3,5,6,7,4,2,1,8]=>[2,3,7,1,6,5,4,8]
[4,3,7,6,5,2,1,8]=>[7,1,6,2,5,4,3,8]
[3,4,7,6,5,2,1,8]=>[7,6,1,2,5,4,3,8]
[5,4,3,7,6,2,1,8]=>[2,1,7,3,6,5,4,8]
[4,5,3,7,6,2,1,8]=>[1,2,7,3,6,5,4,8]
[3,5,4,7,6,2,1,8]=>[2,7,1,3,6,5,4,8]
[4,3,5,7,6,2,1,8]=>[1,7,2,3,6,5,4,8]
[3,6,5,4,7,2,1,8]=>[4,3,1,2,7,6,5,8]
[3,5,6,4,7,2,1,8]=>[2,4,1,3,7,6,5,8]
[4,3,6,5,7,2,1,8]=>[1,4,2,3,7,6,5,8]
[2,7,6,5,4,3,1,8]=>[7,6,5,4,1,3,2,8]
[2,6,7,5,4,3,1,8]=>[2,7,6,5,1,4,3,8]
[2,5,7,6,4,3,1,8]=>[7,2,6,5,1,4,3,8]
[2,5,6,7,4,3,1,8]=>[2,3,7,6,1,5,4,8]
[2,4,6,7,5,3,1,8]=>[3,7,2,6,1,5,4,8]
[2,5,4,7,6,3,1,8]=>[2,7,3,6,1,5,4,8]
[2,5,6,4,7,3,1,8]=>[2,4,3,7,1,6,5,8]
[2,5,4,6,7,3,1,8]=>[3,2,4,7,1,6,5,8]
[2,4,5,6,7,3,1,8]=>[2,3,4,7,1,6,5,8]
[3,2,7,6,5,4,1,8]=>[7,6,1,5,2,4,3,8]
[3,2,6,7,5,4,1,8]=>[3,7,1,6,2,5,4,8]
[3,2,5,7,6,4,1,8]=>[7,1,3,6,2,5,4,8]
[3,2,6,5,7,4,1,8]=>[4,1,3,7,2,6,5,8]
[3,2,5,6,7,4,1,8]=>[1,3,4,7,2,6,5,8]
[2,3,7,6,5,4,1,8]=>[7,6,5,1,2,4,3,8]
[2,3,6,7,5,4,1,8]=>[3,7,6,1,2,5,4,8]
[2,3,5,7,6,4,1,8]=>[7,3,6,1,2,5,4,8]
[2,3,6,5,7,4,1,8]=>[4,3,7,1,2,6,5,8]
[2,3,5,6,7,4,1,8]=>[3,4,7,1,2,6,5,8]
[4,3,2,6,7,5,1,8]=>[2,1,4,7,3,6,5,8]
[3,4,2,7,6,5,1,8]=>[7,1,2,6,3,5,4,8]
[3,4,2,6,7,5,1,8]=>[1,2,4,7,3,6,5,8]
[3,2,4,6,7,5,1,8]=>[1,4,7,2,3,6,5,8]
[2,3,4,7,6,5,1,8]=>[7,6,1,2,3,5,4,8]
[2,3,4,6,7,5,1,8]=>[4,7,1,2,3,6,5,8]
[5,4,3,2,7,6,1,8]=>[3,2,1,7,4,6,5,8]
[4,5,3,2,7,6,1,8]=>[1,3,2,7,4,6,5,8]
[3,5,4,2,7,6,1,8]=>[3,1,2,7,4,6,5,8]
[4,3,5,2,7,6,1,8]=>[2,1,3,7,4,6,5,8]
[3,4,5,2,7,6,1,8]=>[1,2,3,7,4,6,5,8]
[3,2,5,4,7,6,1,8]=>[1,3,7,2,4,6,5,8]
[4,3,2,5,7,6,1,8]=>[2,1,7,3,4,6,5,8]
[3,4,2,5,7,6,1,8]=>[1,2,7,3,4,6,5,8]
[2,3,4,5,7,6,1,8]=>[7,1,2,3,4,6,5,8]
[3,6,5,4,2,7,1,8]=>[5,4,1,3,2,7,6,8]
[3,5,6,4,2,7,1,8]=>[2,5,1,4,3,7,6,8]
[3,4,6,5,2,7,1,8]=>[5,1,2,4,3,7,6,8]
[3,5,4,6,2,7,1,8]=>[3,1,2,5,4,7,6,8]
[2,5,4,6,3,7,1,8]=>[3,2,5,1,4,7,6,8]
[2,4,5,6,3,7,1,8]=>[2,3,5,1,4,7,6,8]
[3,2,6,5,4,7,1,8]=>[5,1,4,2,3,7,6,8]
[2,3,5,6,4,7,1,8]=>[3,5,1,2,4,7,6,8]
[4,3,2,6,5,7,1,8]=>[2,1,5,3,4,7,6,8]
[3,4,2,6,5,7,1,8]=>[1,2,5,3,4,7,6,8]
[2,4,3,6,5,7,1,8]=>[2,5,1,3,4,7,6,8]
[2,3,4,6,5,7,1,8]=>[5,1,2,3,4,7,6,8]
[3,5,4,2,6,7,1,8]=>[4,1,3,2,5,7,6,8]
[2,5,4,3,6,7,1,8]=>[4,3,1,2,5,7,6,8]
[2,4,5,3,6,7,1,8]=>[2,4,1,3,5,7,6,8]
[2,3,5,4,6,7,1,8]=>[4,1,2,3,5,7,6,8]
[2,4,3,5,6,7,1,8]=>[3,1,2,4,5,7,6,8]
[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,1,2,8]
[1,6,7,5,4,3,2,8]=>[2,7,6,5,4,1,3,8]
[1,6,5,7,4,3,2,8]=>[3,2,7,6,5,1,4,8]
[1,5,6,7,4,3,2,8]=>[2,3,7,6,5,1,4,8]
[1,4,7,6,5,3,2,8]=>[7,6,2,5,4,1,3,8]
[1,4,6,7,5,3,2,8]=>[3,7,2,6,5,1,4,8]
[1,5,4,7,6,3,2,8]=>[2,7,3,6,5,1,4,8]
[1,5,6,4,7,3,2,8]=>[2,4,3,7,6,1,5,8]
[1,4,6,5,7,3,2,8]=>[4,2,3,7,6,1,5,8]
[1,5,4,6,7,3,2,8]=>[3,2,4,7,6,1,5,8]
[1,4,5,6,7,3,2,8]=>[2,3,4,7,6,1,5,8]
[1,3,7,6,5,4,2,8]=>[7,6,5,2,4,1,3,8]
[1,3,6,7,5,4,2,8]=>[3,7,6,2,5,1,4,8]
[1,3,5,7,6,4,2,8]=>[7,3,6,2,5,1,4,8]
[1,3,6,5,7,4,2,8]=>[4,3,7,2,6,1,5,8]
[1,3,5,6,7,4,2,8]=>[3,4,7,2,6,1,5,8]
[1,3,4,6,7,5,2,8]=>[4,7,2,3,6,1,5,8]
[1,3,5,4,7,6,2,8]=>[3,7,2,4,6,1,5,8]
[1,4,3,5,7,6,2,8]=>[2,7,3,4,6,1,5,8]
[1,3,4,5,7,6,2,8]=>[7,2,3,4,6,1,5,8]
[1,5,4,6,3,7,2,8]=>[3,2,5,4,7,1,6,8]
[1,4,5,6,3,7,2,8]=>[2,3,5,4,7,1,6,8]
[1,3,6,5,4,7,2,8]=>[5,4,2,3,7,1,6,8]
[1,3,5,6,4,7,2,8]=>[3,5,2,4,7,1,6,8]
[1,4,3,6,5,7,2,8]=>[2,5,3,4,7,1,6,8]
[1,3,4,6,5,7,2,8]=>[5,2,3,4,7,1,6,8]
[1,5,4,3,6,7,2,8]=>[4,3,2,5,7,1,6,8]
[1,4,5,3,6,7,2,8]=>[2,4,3,5,7,1,6,8]
[1,3,5,4,6,7,2,8]=>[4,2,3,5,7,1,6,8]
[1,4,3,5,6,7,2,8]=>[3,2,4,5,7,1,6,8]
[1,3,4,5,6,7,2,8]=>[2,3,4,5,7,1,6,8]
[2,1,7,6,5,4,3,8]=>[7,6,5,1,4,2,3,8]
[2,1,6,7,5,4,3,8]=>[3,7,6,1,5,2,4,8]
[2,1,5,6,7,4,3,8]=>[3,4,7,1,6,2,5,8]
[2,1,4,6,7,5,3,8]=>[4,7,1,3,6,2,5,8]
[2,1,5,4,6,7,3,8]=>[4,1,3,5,7,2,6,8]
[2,1,4,5,6,7,3,8]=>[1,3,4,5,7,2,6,8]
[1,2,7,6,5,4,3,8]=>[7,6,5,4,1,2,3,8]
[1,2,6,7,5,4,3,8]=>[3,7,6,5,1,2,4,8]
[1,2,5,7,6,4,3,8]=>[7,3,6,5,1,2,4,8]
[1,2,5,6,7,4,3,8]=>[3,4,7,6,1,2,5,8]
[1,2,4,6,7,5,3,8]=>[4,7,3,6,1,2,5,8]
[1,2,5,6,4,7,3,8]=>[3,5,4,7,1,2,6,8]
[1,2,4,6,5,7,3,8]=>[5,3,4,7,1,2,6,8]
[1,2,5,4,6,7,3,8]=>[4,3,5,7,1,2,6,8]
[1,2,4,5,6,7,3,8]=>[3,4,5,7,1,2,6,8]
[3,2,1,7,6,5,4,8]=>[7,1,6,2,5,3,4,8]
[3,2,1,6,7,5,4,8]=>[1,4,7,2,6,3,5,8]
[3,2,1,5,7,6,4,8]=>[1,7,2,4,6,3,5,8]
[3,2,1,6,5,7,4,8]=>[1,5,2,4,7,3,6,8]
[3,2,1,5,6,7,4,8]=>[2,1,4,5,7,3,6,8]
[2,3,1,6,7,5,4,8]=>[4,7,1,2,6,3,5,8]
[2,3,1,6,5,7,4,8]=>[5,1,2,4,7,3,6,8]
[2,3,1,5,6,7,4,8]=>[1,2,4,5,7,3,6,8]
[1,3,2,7,6,5,4,8]=>[7,6,2,5,1,3,4,8]
[1,3,2,6,7,5,4,8]=>[4,7,2,6,1,3,5,8]
[1,3,2,5,7,6,4,8]=>[7,2,4,6,1,3,5,8]
[1,3,2,6,5,7,4,8]=>[5,2,4,7,1,3,6,8]
[1,3,2,5,6,7,4,8]=>[2,4,5,7,1,3,6,8]
[1,2,3,7,6,5,4,8]=>[7,6,5,1,2,3,4,8]
[1,2,3,6,7,5,4,8]=>[4,7,6,1,2,3,5,8]
[1,2,3,5,7,6,4,8]=>[7,4,6,1,2,3,5,8]
[1,2,3,6,5,7,4,8]=>[5,4,7,1,2,3,6,8]
[1,2,3,5,6,7,4,8]=>[4,5,7,1,2,3,6,8]
[4,3,2,1,7,6,5,8]=>[2,1,7,3,6,4,5,8]
[4,3,2,1,6,7,5,8]=>[3,2,1,5,7,4,6,8]
[3,2,4,1,7,6,5,8]=>[1,7,2,3,6,4,5,8]
[3,2,4,1,6,7,5,8]=>[2,1,3,5,7,4,6,8]
[2,3,4,1,7,6,5,8]=>[7,1,2,3,6,4,5,8]
[2,3,4,1,6,7,5,8]=>[1,2,3,5,7,4,6,8]
[1,4,3,2,7,6,5,8]=>[2,7,3,6,1,4,5,8]
[1,4,3,2,6,7,5,8]=>[3,2,5,7,1,4,6,8]
[1,3,4,2,6,7,5,8]=>[2,3,5,7,1,4,6,8]
[2,1,4,3,6,7,5,8]=>[1,3,5,7,2,4,6,8]
[1,2,4,3,6,7,5,8]=>[3,5,7,1,2,4,6,8]
[3,2,1,4,7,6,5,8]=>[1,7,2,6,3,4,5,8]
[2,3,1,4,6,7,5,8]=>[1,2,5,7,3,4,6,8]
[1,3,2,4,7,6,5,8]=>[7,2,6,1,3,4,5,8]
[1,3,2,4,6,7,5,8]=>[2,5,7,1,3,4,6,8]
[2,1,3,4,6,7,5,8]=>[1,5,7,2,3,4,6,8]
[1,2,3,4,7,6,5,8]=>[7,6,1,2,3,4,5,8]
[1,2,3,4,6,7,5,8]=>[5,7,1,2,3,4,6,8]
[5,4,3,2,1,7,6,8]=>[4,3,2,1,7,5,6,8]
[4,5,3,2,1,7,6,8]=>[1,4,3,2,7,5,6,8]
[3,5,4,2,1,7,6,8]=>[4,1,3,2,7,5,6,8]
[3,4,5,2,1,7,6,8]=>[1,2,4,3,7,5,6,8]
[2,5,4,3,1,7,6,8]=>[4,3,1,2,7,5,6,8]
[2,4,5,3,1,7,6,8]=>[2,4,1,3,7,5,6,8]
[3,2,5,4,1,7,6,8]=>[1,4,2,3,7,5,6,8]
[2,3,5,4,1,7,6,8]=>[4,1,2,3,7,5,6,8]
[3,4,2,5,1,7,6,8]=>[1,3,2,4,7,5,6,8]
[2,4,3,5,1,7,6,8]=>[3,1,2,4,7,5,6,8]
[2,3,4,5,1,7,6,8]=>[1,2,3,4,7,5,6,8]
[1,5,4,3,2,7,6,8]=>[4,3,2,7,1,5,6,8]
[1,4,5,3,2,7,6,8]=>[2,4,3,7,1,5,6,8]
[1,3,5,4,2,7,6,8]=>[4,2,3,7,1,5,6,8]
[1,4,3,5,2,7,6,8]=>[3,2,4,7,1,5,6,8]
[1,3,4,5,2,7,6,8]=>[2,3,4,7,1,5,6,8]
[2,1,5,4,3,7,6,8]=>[4,1,3,7,2,5,6,8]
[1,2,4,5,3,7,6,8]=>[3,4,7,1,2,5,6,8]
[3,2,1,5,4,7,6,8]=>[2,1,4,7,3,5,6,8]
[2,3,1,5,4,7,6,8]=>[1,2,4,7,3,5,6,8]
[1,3,2,5,4,7,6,8]=>[2,4,7,1,3,5,6,8]
[1,2,3,5,4,7,6,8]=>[4,7,1,2,3,5,6,8]
[4,3,2,1,5,7,6,8]=>[3,2,1,7,4,5,6,8]
[3,2,4,1,5,7,6,8]=>[2,1,3,7,4,5,6,8]
[2,3,4,1,5,7,6,8]=>[1,2,3,7,4,5,6,8]
[1,4,3,2,5,7,6,8]=>[3,2,7,1,4,5,6,8]
[1,3,4,2,5,7,6,8]=>[2,3,7,1,4,5,6,8]
[1,2,4,3,5,7,6,8]=>[3,7,1,2,4,5,6,8]
[3,2,1,4,5,7,6,8]=>[2,1,7,3,4,5,6,8]
[2,3,1,4,5,7,6,8]=>[1,2,7,3,4,5,6,8]
[1,3,2,4,5,7,6,8]=>[2,7,1,3,4,5,6,8]
[2,1,3,4,5,7,6,8]=>[1,7,2,3,4,5,6,8]
[1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8]
[3,6,5,4,2,1,7,8]=>[6,5,1,4,3,2,7,8]
[4,3,6,5,2,1,7,8]=>[1,6,2,5,4,3,7,8]
[2,4,6,5,3,1,7,8]=>[6,2,5,1,4,3,7,8]
[2,4,5,6,3,1,7,8]=>[2,3,6,1,5,4,7,8]
[2,3,6,5,4,1,7,8]=>[6,5,1,2,4,3,7,8]
[2,3,5,6,4,1,7,8]=>[3,6,1,2,5,4,7,8]
[4,3,2,6,5,1,7,8]=>[2,1,6,3,5,4,7,8]
[2,4,3,6,5,1,7,8]=>[2,6,1,3,5,4,7,8]
[2,3,4,6,5,1,7,8]=>[6,1,2,3,5,4,7,8]
[3,5,4,2,6,1,7,8]=>[4,1,3,2,6,5,7,8]
[2,3,5,4,6,1,7,8]=>[4,1,2,3,6,5,7,8]
[1,6,5,4,3,2,7,8]=>[6,5,4,3,1,2,7,8]
[1,5,6,4,3,2,7,8]=>[2,6,5,4,1,3,7,8]
[1,4,6,5,3,2,7,8]=>[6,2,5,4,1,3,7,8]
[1,5,4,6,3,2,7,8]=>[3,2,6,5,1,4,7,8]
[1,4,5,6,3,2,7,8]=>[2,3,6,5,1,4,7,8]
[1,3,5,6,4,2,7,8]=>[3,6,2,5,1,4,7,8]
[1,4,3,6,5,2,7,8]=>[2,6,3,5,1,4,7,8]
[1,5,4,3,6,2,7,8]=>[4,3,2,6,1,5,7,8]
[1,4,5,3,6,2,7,8]=>[2,4,3,6,1,5,7,8]
[1,3,5,4,6,2,7,8]=>[4,2,3,6,1,5,7,8]
[1,4,3,5,6,2,7,8]=>[3,2,4,6,1,5,7,8]
[1,3,4,5,6,2,7,8]=>[2,3,4,6,1,5,7,8]
[2,1,5,6,4,3,7,8]=>[3,6,1,5,2,4,7,8]
[2,1,4,6,5,3,7,8]=>[6,1,3,5,2,4,7,8]
[1,2,6,5,4,3,7,8]=>[6,5,4,1,2,3,7,8]
[1,2,5,6,4,3,7,8]=>[3,6,5,1,2,4,7,8]
[1,2,4,6,5,3,7,8]=>[6,3,5,1,2,4,7,8]
[1,2,4,5,6,3,7,8]=>[3,4,6,1,2,5,7,8]
[3,2,1,6,5,4,7,8]=>[1,6,2,5,3,4,7,8]
[3,2,1,5,6,4,7,8]=>[2,1,4,6,3,5,7,8]
[2,3,1,6,5,4,7,8]=>[6,1,2,5,3,4,7,8]
[2,3,1,5,6,4,7,8]=>[1,2,4,6,3,5,7,8]
[1,3,2,6,5,4,7,8]=>[6,2,5,1,3,4,7,8]
[1,3,2,5,6,4,7,8]=>[2,4,6,1,3,5,7,8]
[1,2,3,6,5,4,7,8]=>[6,5,1,2,3,4,7,8]
[1,2,3,5,6,4,7,8]=>[4,6,1,2,3,5,7,8]
[4,3,2,1,6,5,7,8]=>[3,2,1,6,4,5,7,8]
[2,4,3,1,6,5,7,8]=>[3,1,2,6,4,5,7,8]
[3,2,4,1,6,5,7,8]=>[2,1,3,6,4,5,7,8]
[2,3,4,1,6,5,7,8]=>[1,2,3,6,4,5,7,8]
[2,1,4,3,6,5,7,8]=>[1,3,6,2,4,5,7,8]
[1,2,4,3,6,5,7,8]=>[3,6,1,2,4,5,7,8]
[1,3,2,4,6,5,7,8]=>[2,6,1,3,4,5,7,8]
[2,1,3,4,6,5,7,8]=>[1,6,2,3,4,5,7,8]
[1,2,3,4,6,5,7,8]=>[6,1,2,3,4,5,7,8]
[3,5,4,2,1,6,7,8]=>[5,1,4,3,2,6,7,8]
[2,5,4,3,1,6,7,8]=>[5,4,1,3,2,6,7,8]
[2,4,5,3,1,6,7,8]=>[2,5,1,4,3,6,7,8]
[3,2,5,4,1,6,7,8]=>[1,5,2,4,3,6,7,8]
[2,3,5,4,1,6,7,8]=>[5,1,2,4,3,6,7,8]
[2,4,3,5,1,6,7,8]=>[3,1,2,5,4,6,7,8]
[1,5,4,3,2,6,7,8]=>[5,4,3,1,2,6,7,8]
[1,4,5,3,2,6,7,8]=>[2,5,4,1,3,6,7,8]
[1,3,5,4,2,6,7,8]=>[5,2,4,1,3,6,7,8]
[1,4,3,5,2,6,7,8]=>[3,2,5,1,4,6,7,8]
[1,3,4,5,2,6,7,8]=>[2,3,5,1,4,6,7,8]
[2,1,5,4,3,6,7,8]=>[5,1,4,2,3,6,7,8]
[2,1,4,5,3,6,7,8]=>[1,3,5,2,4,6,7,8]
[1,2,5,4,3,6,7,8]=>[5,4,1,2,3,6,7,8]
[1,2,4,5,3,6,7,8]=>[3,5,1,2,4,6,7,8]
[3,2,1,5,4,6,7,8]=>[2,1,5,3,4,6,7,8]
[2,3,1,5,4,6,7,8]=>[1,2,5,3,4,6,7,8]
[1,3,2,5,4,6,7,8]=>[2,5,1,3,4,6,7,8]
[2,1,3,5,4,6,7,8]=>[1,5,2,3,4,6,7,8]
[1,2,3,5,4,6,7,8]=>[5,1,2,3,4,6,7,8]
[2,4,3,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]
[1,4,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]
[1,3,4,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]
[2,1,4,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[1,2,4,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]
[1,3,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[1,2,3,4,8,6,7,5]=>[6,8,7,1,2,3,4,5]
[1,2,3,5,8,6,7,4]=>[6,8,4,7,1,2,3,5]
[1,2,3,7,5,6,4,8]=>[5,7,6,1,2,3,4,8]
[1,2,3,7,5,6,8,4]=>[5,6,4,8,1,2,3,7]
[1,2,3,8,5,6,7,4]=>[5,6,8,7,1,2,3,4]
[1,2,3,8,5,7,6,4]=>[8,5,7,6,1,2,3,4]
[1,2,3,8,6,5,7,4]=>[6,5,8,7,1,2,3,4]
[1,2,3,8,6,7,5,4]=>[5,8,7,6,1,2,3,4]
[1,2,4,3,8,6,7,5]=>[6,8,3,7,1,2,4,5]
[1,2,4,5,8,6,7,3]=>[6,8,3,4,7,1,2,5]
[1,2,4,7,5,6,8,3]=>[5,6,3,4,8,1,2,7]
[1,2,4,8,5,6,7,3]=>[5,6,8,3,7,1,2,4]
[1,2,4,8,6,5,7,3]=>[6,5,8,3,7,1,2,4]
[1,2,5,4,8,6,7,3]=>[3,6,8,4,7,1,2,5]
[1,2,6,4,5,3,7,8]=>[4,6,5,1,2,3,7,8]
[1,2,6,4,5,7,8,3]=>[4,5,3,6,8,1,2,7]
[1,2,6,4,5,8,7,3]=>[8,4,3,5,7,1,2,6]
[1,2,7,4,5,6,8,3]=>[4,5,6,3,8,1,2,7]
[1,2,8,4,5,6,7,3]=>[4,5,6,8,7,1,2,3]
[1,2,8,4,6,7,5,3]=>[5,8,4,7,6,1,2,3]
[1,2,8,4,7,6,5,3]=>[8,7,4,6,5,1,2,3]
[1,2,7,5,4,6,3,8]=>[5,4,7,6,1,2,3,8]
[1,2,7,5,4,6,8,3]=>[5,4,6,3,8,1,2,7]
[1,2,8,5,4,6,7,3]=>[5,4,6,8,7,1,2,3]
[1,2,8,5,4,7,6,3]=>[4,8,5,7,6,1,2,3]
[1,2,8,5,6,4,7,3]=>[4,6,5,8,7,1,2,3]
[1,2,8,5,6,7,4,3]=>[4,5,8,7,6,1,2,3]
[1,2,8,6,5,4,7,3]=>[6,5,4,8,7,1,2,3]
[1,2,8,6,5,7,4,3]=>[5,4,8,7,6,1,2,3]
[1,2,8,7,5,6,4,3]=>[5,8,7,6,4,1,2,3]
[1,3,2,4,8,6,7,5]=>[6,8,2,7,1,3,4,5]
[1,3,2,7,5,6,8,4]=>[5,6,2,4,8,1,3,7]
[1,3,2,8,5,7,6,4]=>[8,5,7,2,6,1,3,4]
[1,3,2,8,6,5,7,4]=>[6,5,8,2,7,1,3,4]
[1,3,2,8,6,7,5,4]=>[5,8,7,2,6,1,3,4]
[1,3,4,2,8,6,7,5]=>[6,8,2,3,7,1,4,5]
[1,3,4,5,8,6,7,2]=>[6,8,2,3,4,7,1,5]
[1,3,4,8,5,6,7,2]=>[5,6,8,2,3,7,1,4]
[1,3,4,8,6,5,7,2]=>[6,5,8,2,3,7,1,4]
[1,3,4,8,6,7,5,2]=>[5,8,7,2,3,6,1,4]
[1,3,6,4,5,7,2,8]=>[4,5,2,3,7,1,6,8]
[1,3,6,4,5,7,8,2]=>[4,5,2,3,6,8,1,7]
[1,3,6,4,5,8,7,2]=>[8,4,2,3,5,7,1,6]
[1,3,7,4,5,6,2,8]=>[4,5,7,2,6,1,3,8]
[1,3,7,4,5,6,8,2]=>[4,5,6,2,3,8,1,7]
[1,3,8,4,5,6,7,2]=>[4,5,6,8,2,7,1,3]
[1,3,8,4,6,5,7,2]=>[6,4,5,8,2,7,1,3]
[1,3,8,4,6,7,5,2]=>[5,8,4,7,2,6,1,3]
[1,3,8,5,4,6,7,2]=>[5,4,6,8,2,7,1,3]
[1,3,8,5,4,7,6,2]=>[4,8,5,7,2,6,1,3]
[1,3,8,5,6,7,4,2]=>[4,5,8,7,2,6,1,3]
[1,3,8,5,7,6,4,2]=>[8,4,7,6,2,5,1,3]
[1,3,8,6,5,7,4,2]=>[5,4,8,7,2,6,1,3]
[1,3,8,7,5,6,4,2]=>[5,8,7,6,2,4,1,3]
[1,4,3,2,8,6,7,5]=>[2,6,8,3,7,1,4,5]
[1,4,3,5,8,6,7,2]=>[2,6,8,3,4,7,1,5]
[1,4,3,8,5,6,7,2]=>[2,5,6,8,3,7,1,4]
[1,4,3,8,5,7,6,2]=>[8,2,5,7,3,6,1,4]
[1,4,3,8,6,5,7,2]=>[6,2,5,8,3,7,1,4]
[1,4,3,8,6,7,5,2]=>[5,8,2,7,3,6,1,4]
[1,5,3,4,2,6,7,8]=>[3,5,4,1,2,6,7,8]
[1,5,3,4,2,8,7,6]=>[8,3,2,4,7,1,5,6]
[1,5,3,4,6,2,7,8]=>[3,4,2,6,1,5,7,8]
[1,5,3,4,6,2,8,7]=>[3,4,2,5,8,1,6,7]
[1,5,3,4,6,7,2,8]=>[3,4,2,5,7,1,6,8]
[1,5,3,4,6,7,8,2]=>[3,4,2,5,6,8,1,7]
[1,5,3,4,7,6,2,8]=>[7,3,2,4,6,1,5,8]
[1,5,3,4,8,6,7,2]=>[6,2,8,3,4,7,1,5]
[1,6,3,4,5,2,7,8]=>[3,4,6,5,1,2,7,8]
[1,6,3,4,5,8,7,2]=>[8,3,4,2,5,7,1,6]
[1,7,3,4,5,6,2,8]=>[3,4,5,7,6,1,2,8]
[1,7,3,4,5,6,8,2]=>[3,4,5,6,2,8,1,7]
[1,8,3,4,5,6,7,2]=>[3,4,5,6,8,7,1,2]
[1,8,3,4,6,7,5,2]=>[5,8,3,4,7,6,1,2]
[1,8,3,4,7,6,5,2]=>[8,7,3,4,6,5,1,2]
[1,6,3,5,4,2,7,8]=>[6,3,5,4,1,2,7,8]
[1,6,3,5,4,8,7,2]=>[4,8,3,2,5,7,1,6]
[1,7,3,5,4,6,2,8]=>[5,3,4,7,6,1,2,8]
[1,8,3,5,4,6,7,2]=>[5,3,4,6,8,7,1,2]
[1,8,3,5,4,7,6,2]=>[4,8,3,5,7,6,1,2]
[1,8,3,5,6,4,7,2]=>[4,6,3,5,8,7,1,2]
[1,8,3,5,6,7,4,2]=>[4,5,8,3,7,6,1,2]
[1,8,3,5,7,6,4,2]=>[8,4,7,3,6,5,1,2]
[1,7,3,6,5,4,2,8]=>[7,6,3,5,4,1,2,8]
[1,7,3,6,5,4,8,2]=>[6,5,3,4,2,8,1,7]
[1,8,3,6,5,4,7,2]=>[6,5,3,4,8,7,1,2]
[1,8,3,7,5,6,4,2]=>[5,8,7,3,6,4,1,2]
[1,8,3,7,6,5,4,2]=>[8,7,6,3,5,4,1,2]
[1,6,4,3,5,2,7,8]=>[4,3,6,5,1,2,7,8]
[1,6,4,3,5,8,7,2]=>[3,8,4,2,5,7,1,6]
[1,8,4,3,5,6,7,2]=>[4,3,5,6,8,7,1,2]
[1,8,4,3,5,7,6,2]=>[3,8,4,5,7,6,1,2]
[1,7,4,3,6,5,8,2]=>[3,6,4,5,2,8,1,7]
[1,8,4,3,6,5,7,2]=>[3,6,4,5,8,7,1,2]
[1,8,4,3,6,7,5,2]=>[3,5,8,4,7,6,1,2]
[1,6,4,5,3,2,7,8]=>[3,6,5,4,1,2,7,8]
[1,6,4,5,3,2,8,7]=>[3,5,4,2,8,1,6,7]
[1,6,4,5,3,8,7,2]=>[3,4,2,8,5,7,1,6]
[1,7,4,5,3,6,8,2]=>[3,5,4,6,2,8,1,7]
[1,8,4,5,3,6,7,2]=>[3,5,4,6,8,7,1,2]
[1,7,4,5,6,3,2,8]=>[3,4,7,6,5,1,2,8]
[1,7,4,5,6,3,8,2]=>[3,4,6,5,2,8,1,7]
[1,8,4,5,6,3,7,2]=>[3,4,6,5,8,7,1,2]
[1,8,4,5,6,7,3,2]=>[3,4,5,8,7,6,1,2]
[1,7,4,6,5,3,2,8]=>[7,3,6,5,4,1,2,8]
[1,8,4,6,5,3,7,2]=>[6,3,5,4,8,7,1,2]
[1,8,4,6,5,7,3,2]=>[5,3,4,8,7,6,1,2]
[1,8,4,7,6,5,3,2]=>[8,7,3,6,5,4,1,2]
[1,7,5,4,3,6,2,8]=>[5,4,3,7,6,1,2,8]
[1,7,5,4,3,6,8,2]=>[5,4,3,6,2,8,1,7]
[1,8,5,4,3,6,7,2]=>[5,4,3,6,8,7,1,2]
[1,8,5,4,3,7,6,2]=>[4,3,8,5,7,6,1,2]
[1,8,5,4,6,3,7,2]=>[4,3,6,5,8,7,1,2]
[1,8,5,4,6,7,3,2]=>[4,3,5,8,7,6,1,2]
[1,8,5,4,7,6,3,2]=>[3,8,4,7,6,5,1,2]
[1,7,6,4,5,3,2,8]=>[4,7,6,5,3,1,2,8]
[1,8,6,4,5,3,7,2]=>[4,6,5,3,8,7,1,2]
[1,8,6,4,5,7,3,2]=>[4,5,3,8,7,6,1,2]
[1,8,7,4,5,6,3,2]=>[4,5,8,7,6,3,1,2]
[1,8,7,4,6,5,3,2]=>[8,4,7,6,5,3,1,2]
[1,8,6,5,4,3,7,2]=>[6,5,4,3,8,7,1,2]
[1,8,6,5,4,7,3,2]=>[5,4,3,8,7,6,1,2]
[1,8,7,5,4,6,3,2]=>[5,4,8,7,6,3,1,2]
[1,8,7,5,6,4,3,2]=>[4,8,7,6,5,3,1,2]
[2,1,3,5,8,6,7,4]=>[6,8,1,4,7,2,3,5]
[2,1,3,8,5,6,7,4]=>[5,6,8,1,7,2,3,4]
[2,1,3,8,5,7,6,4]=>[8,5,7,1,6,2,3,4]
[2,1,3,8,6,5,7,4]=>[6,5,8,1,7,2,3,4]
[2,1,3,8,6,7,5,4]=>[5,8,7,1,6,2,3,4]
[2,1,4,3,8,6,7,5]=>[6,8,1,3,7,2,4,5]
[2,1,4,5,8,6,7,3]=>[6,8,1,3,4,7,2,5]
[2,1,4,8,5,6,7,3]=>[5,6,8,1,3,7,2,4]
[2,1,4,8,5,7,6,3]=>[8,5,7,1,3,6,2,4]
[2,1,4,8,6,5,7,3]=>[6,5,8,1,3,7,2,4]
[2,1,4,8,6,7,5,3]=>[5,8,7,1,3,6,2,4]
[2,1,5,4,8,6,7,3]=>[3,6,8,1,4,7,2,5]
[2,1,6,4,5,3,8,7]=>[4,5,1,3,8,2,6,7]
[2,1,6,4,5,7,8,3]=>[4,5,1,3,6,8,2,7]
[2,1,6,4,5,8,7,3]=>[8,4,1,3,5,7,2,6]
[2,1,8,4,5,6,7,3]=>[4,5,6,8,1,7,2,3]
[2,1,8,4,5,7,6,3]=>[8,4,5,7,1,6,2,3]
[2,1,7,4,6,5,8,3]=>[6,4,5,1,3,8,2,7]
[2,1,8,4,6,5,7,3]=>[6,4,5,8,1,7,2,3]
[2,1,8,4,6,7,5,3]=>[5,8,4,7,1,6,2,3]
[2,1,8,4,7,6,5,3]=>[8,7,4,6,1,5,2,3]
[2,1,7,5,4,6,8,3]=>[5,4,6,1,3,8,2,7]
[2,1,8,5,4,6,7,3]=>[5,4,6,8,1,7,2,3]
[2,1,8,5,4,7,6,3]=>[4,8,5,7,1,6,2,3]
[2,1,7,5,6,4,8,3]=>[4,6,5,1,3,8,2,7]
[2,1,8,5,6,4,7,3]=>[4,6,5,8,1,7,2,3]
[2,1,8,5,6,7,4,3]=>[4,5,8,7,1,6,2,3]
[2,1,8,5,7,6,4,3]=>[8,4,7,6,1,5,2,3]
[2,1,8,6,5,4,7,3]=>[6,5,4,8,1,7,2,3]
[2,1,8,6,5,7,4,3]=>[5,4,8,7,1,6,2,3]
[2,1,8,7,5,6,4,3]=>[5,8,7,6,1,4,2,3]
[2,3,1,5,8,6,7,4]=>[6,8,1,2,4,7,3,5]
[2,3,1,7,5,6,4,8]=>[5,7,1,2,6,3,4,8]
[2,3,1,8,5,6,7,4]=>[5,6,8,1,2,7,3,4]
[2,3,1,8,6,7,5,4]=>[5,8,7,1,2,6,3,4]
[2,3,4,1,8,6,7,5]=>[6,8,1,2,3,7,4,5]
[2,3,4,5,8,6,7,1]=>[6,8,1,2,3,4,7,5]
[2,3,4,7,5,6,1,8]=>[5,7,1,2,3,6,4,8]
[2,3,4,7,5,6,8,1]=>[5,6,1,2,3,4,8,7]
[2,3,4,8,5,6,7,1]=>[5,6,8,1,2,3,7,4]
[2,3,4,8,5,7,6,1]=>[8,5,7,1,2,3,6,4]
[2,3,4,8,6,5,7,1]=>[6,5,8,1,2,3,7,4]
[2,3,4,8,6,7,5,1]=>[5,8,7,1,2,3,6,4]
[2,3,5,4,8,6,7,1]=>[3,6,8,1,2,4,7,5]
[2,3,6,4,5,1,7,8]=>[4,6,1,2,5,3,7,8]
[2,3,6,4,5,1,8,7]=>[4,5,1,2,3,8,6,7]
[2,3,6,4,5,7,8,1]=>[4,5,1,2,3,6,8,7]
[2,3,6,4,5,8,7,1]=>[8,4,1,2,3,5,7,6]
[2,3,7,4,5,6,8,1]=>[4,5,6,1,2,3,8,7]
[2,3,8,4,5,6,7,1]=>[4,5,6,8,1,2,7,3]
[2,3,7,4,6,5,8,1]=>[6,4,5,1,2,3,8,7]
[2,3,8,4,6,7,5,1]=>[5,8,4,7,1,2,6,3]
[2,3,7,5,4,6,1,8]=>[5,4,7,1,2,6,3,8]
[2,3,7,5,4,6,8,1]=>[5,4,6,1,2,3,8,7]
[2,3,8,5,4,6,7,1]=>[5,4,6,8,1,2,7,3]
[2,3,7,5,6,4,1,8]=>[4,7,6,1,2,5,3,8]
[2,3,7,5,6,4,8,1]=>[4,6,5,1,2,3,8,7]
[2,3,8,5,6,4,7,1]=>[4,6,5,8,1,2,7,3]
[2,3,8,5,6,7,4,1]=>[4,5,8,7,1,2,6,3]
[2,3,8,5,7,6,4,1]=>[8,4,7,6,1,2,5,3]
[2,3,8,6,5,4,7,1]=>[6,5,4,8,1,2,7,3]
[2,4,3,1,8,6,7,5]=>[2,6,8,1,3,7,4,5]
[2,4,3,5,8,6,7,1]=>[2,6,8,1,3,4,7,5]
[2,4,3,7,5,6,8,1]=>[2,5,6,1,3,4,8,7]
[2,4,3,8,5,6,7,1]=>[2,5,6,8,1,3,7,4]
[2,4,3,8,5,7,6,1]=>[8,2,5,7,1,3,6,4]
[2,4,3,8,6,5,7,1]=>[6,2,5,8,1,3,7,4]
[2,4,3,8,6,7,5,1]=>[5,8,2,7,1,3,6,4]
[2,5,3,4,1,6,7,8]=>[3,5,1,4,2,6,7,8]
[2,5,3,4,1,8,7,6]=>[8,3,1,2,4,7,5,6]
[2,5,3,4,6,7,1,8]=>[3,4,1,2,5,7,6,8]
[2,5,3,4,6,7,8,1]=>[3,4,1,2,5,6,8,7]
[2,5,3,4,6,8,7,1]=>[8,3,1,2,4,5,7,6]
[2,5,3,4,7,6,8,1]=>[6,3,1,2,4,5,8,7]
[2,5,3,4,8,6,7,1]=>[6,2,8,1,3,4,7,5]
[2,5,3,4,8,7,6,1]=>[2,8,7,1,3,4,6,5]
[2,6,3,4,5,1,7,8]=>[3,4,6,1,5,2,7,8]
[2,6,3,4,5,7,8,1]=>[3,4,5,1,2,6,8,7]
[2,6,3,4,5,8,7,1]=>[8,3,4,1,2,5,7,6]
[2,7,3,4,5,6,1,8]=>[3,4,5,7,1,6,2,8]
[2,8,3,4,5,6,7,1]=>[3,4,5,6,8,1,7,2]
[2,8,3,4,5,7,6,1]=>[8,3,4,5,7,1,6,2]
[2,6,3,5,4,1,7,8]=>[6,3,5,1,4,2,7,8]
[2,6,3,5,4,1,8,7]=>[5,3,4,1,2,8,6,7]
[2,6,3,5,4,7,8,1]=>[5,3,4,1,2,6,8,7]
[2,6,3,5,4,8,7,1]=>[4,8,3,1,2,5,7,6]
[2,7,3,5,4,6,8,1]=>[5,3,4,6,1,2,8,7]
[2,8,3,5,4,7,6,1]=>[4,8,3,5,7,1,6,2]
[2,7,3,5,6,4,8,1]=>[4,6,3,5,1,2,8,7]
[2,8,3,5,6,7,4,1]=>[4,5,8,3,7,1,6,2]
[2,8,3,5,7,6,4,1]=>[8,4,7,3,6,1,5,2]
[2,7,3,6,5,4,1,8]=>[7,6,3,5,1,4,2,8]
[2,8,3,7,5,6,4,1]=>[5,8,7,3,6,1,4,2]
[2,8,3,7,6,5,4,1]=>[8,7,6,3,5,1,4,2]
[2,5,4,3,8,6,7,1]=>[3,2,6,8,1,4,7,5]
[2,6,4,3,5,1,8,7]=>[4,3,5,1,2,8,6,7]
[2,6,4,3,5,7,8,1]=>[4,3,5,1,2,6,8,7]
[2,6,4,3,5,8,7,1]=>[3,8,4,1,2,5,7,6]
[2,7,4,3,5,6,8,1]=>[4,3,5,6,1,2,8,7]
[2,8,4,3,5,6,7,1]=>[4,3,5,6,8,1,7,2]
[2,8,4,3,5,7,6,1]=>[3,8,4,5,7,1,6,2]
[2,7,4,3,6,5,8,1]=>[3,6,4,5,1,2,8,7]
[2,8,4,3,6,5,7,1]=>[3,6,4,5,8,1,7,2]
[2,8,4,3,6,7,5,1]=>[3,5,8,4,7,1,6,2]
[2,8,4,3,7,6,5,1]=>[8,3,7,4,6,1,5,2]
[2,6,4,5,3,1,7,8]=>[3,6,5,1,4,2,7,8]
[2,6,4,5,3,1,8,7]=>[3,5,4,1,2,8,6,7]
[2,6,4,5,3,7,8,1]=>[3,5,4,1,2,6,8,7]
[2,6,4,5,3,8,7,1]=>[3,4,2,8,1,5,7,6]
[2,8,4,5,3,6,7,1]=>[3,5,4,6,8,1,7,2]
[2,7,4,5,6,3,1,8]=>[3,4,7,6,1,5,2,8]
[2,7,4,5,6,3,8,1]=>[3,4,6,5,1,2,8,7]
[2,8,4,5,6,3,7,1]=>[3,4,6,5,8,1,7,2]
[2,8,4,5,6,7,3,1]=>[3,4,5,8,7,1,6,2]
[2,7,4,6,5,3,1,8]=>[7,3,6,5,1,4,2,8]
[2,7,4,6,5,3,8,1]=>[6,3,5,4,1,2,8,7]
[2,8,4,6,5,3,7,1]=>[6,3,5,4,8,1,7,2]
[2,8,4,7,6,5,3,1]=>[8,7,3,6,5,1,4,2]
[2,7,5,4,3,6,8,1]=>[5,4,3,6,1,2,8,7]
[2,8,5,4,3,6,7,1]=>[5,4,3,6,8,1,7,2]
[2,8,5,4,3,7,6,1]=>[4,3,8,5,7,1,6,2]
[2,7,5,4,6,3,8,1]=>[4,3,6,5,1,2,8,7]
[2,8,5,4,6,7,3,1]=>[4,3,5,8,7,1,6,2]
[2,8,5,4,7,6,3,1]=>[3,8,4,7,6,1,5,2]
[2,7,6,4,5,3,8,1]=>[4,6,5,3,1,2,8,7]
[2,8,7,4,5,6,3,1]=>[4,5,8,7,6,1,3,2]
[2,8,7,4,6,5,3,1]=>[8,4,7,6,5,1,3,2]
[2,8,7,5,4,6,3,1]=>[5,4,8,7,6,1,3,2]
[2,8,7,5,6,4,3,1]=>[4,8,7,6,5,1,3,2]
[3,2,1,4,8,6,7,5]=>[1,6,8,2,7,3,4,5]
[3,2,1,5,8,6,7,4]=>[1,6,8,2,4,7,3,5]
[3,2,1,7,5,6,4,8]=>[1,5,7,2,6,3,4,8]
[3,2,1,7,5,6,8,4]=>[1,5,6,2,4,8,3,7]
[3,2,1,8,5,6,7,4]=>[1,5,6,8,2,7,3,4]
[3,2,1,8,5,7,6,4]=>[8,1,5,7,2,6,3,4]
[3,2,1,8,6,5,7,4]=>[6,1,5,8,2,7,3,4]
[3,2,1,8,6,7,5,4]=>[5,8,1,7,2,6,3,4]
[3,2,4,1,8,6,7,5]=>[1,6,8,2,3,7,4,5]
[3,2,4,5,8,6,7,1]=>[1,6,8,2,3,4,7,5]
[3,2,4,7,5,6,8,1]=>[1,5,6,2,3,4,8,7]
[3,2,4,8,5,6,7,1]=>[1,5,6,8,2,3,7,4]
[3,2,4,8,6,7,5,1]=>[5,8,1,7,2,3,6,4]
[3,2,5,4,8,6,7,1]=>[1,3,6,8,2,4,7,5]
[3,2,6,4,5,1,7,8]=>[1,4,6,2,5,3,7,8]
[3,2,6,4,5,1,8,7]=>[1,4,5,2,3,8,6,7]
[3,2,6,4,5,7,1,8]=>[1,4,5,2,3,7,6,8]
[3,2,7,4,5,6,1,8]=>[1,4,5,7,2,6,3,8]
[3,2,8,4,5,6,7,1]=>[1,4,5,6,8,2,7,3]
[3,2,7,4,6,5,1,8]=>[7,1,4,6,2,5,3,8]
[3,2,7,4,6,5,8,1]=>[6,1,4,5,2,3,8,7]
[3,2,8,4,6,5,7,1]=>[6,1,4,5,8,2,7,3]
[3,2,7,5,4,6,1,8]=>[5,1,4,7,2,6,3,8]
[3,2,8,5,4,6,7,1]=>[5,1,4,6,8,2,7,3]
[3,2,8,5,4,7,6,1]=>[4,8,1,5,7,2,6,3]
[3,2,7,5,6,4,1,8]=>[4,7,1,6,2,5,3,8]
[3,2,7,5,6,4,8,1]=>[4,6,1,5,2,3,8,7]
[3,2,8,5,6,4,7,1]=>[4,6,1,5,8,2,7,3]
[3,2,8,5,7,6,4,1]=>[8,4,7,1,6,2,5,3]
[3,2,8,6,5,7,4,1]=>[5,4,8,1,7,2,6,3]
[3,2,8,7,5,6,4,1]=>[5,8,7,1,6,2,4,3]
[4,2,3,1,5,7,6,8]=>[2,3,1,7,4,5,6,8]
[4,2,3,1,5,7,8,6]=>[2,3,1,6,8,4,5,7]
[4,2,3,1,5,8,7,6]=>[8,2,1,3,7,4,5,6]
[4,2,3,1,6,5,7,8]=>[2,3,1,6,4,5,7,8]
[4,2,3,1,6,5,8,7]=>[2,3,1,5,8,4,6,7]
[4,2,3,1,6,7,8,5]=>[2,3,1,5,6,8,4,7]
[4,2,3,1,6,8,7,5]=>[8,2,1,3,5,7,4,6]
[4,2,3,1,7,6,5,8]=>[7,2,1,3,6,4,5,8]
[4,2,3,1,7,6,8,5]=>[6,2,1,3,5,8,4,7]
[4,2,3,1,8,6,7,5]=>[6,1,8,2,3,7,4,5]
[4,2,3,1,8,7,6,5]=>[1,8,7,2,3,6,4,5]
[4,2,3,5,1,6,8,7]=>[2,3,1,4,8,5,6,7]
[4,2,3,5,1,7,8,6]=>[2,3,1,4,6,8,5,7]
[4,2,3,5,1,8,7,6]=>[8,2,1,3,4,7,5,6]
[4,2,3,5,6,1,8,7]=>[2,3,1,4,5,8,6,7]
[4,2,3,5,6,8,7,1]=>[8,2,1,3,4,5,7,6]
[4,2,3,5,7,6,1,8]=>[7,2,1,3,4,6,5,8]
[4,2,3,5,8,7,6,1]=>[1,8,7,2,3,4,6,5]
[4,2,3,6,5,1,7,8]=>[6,2,1,3,5,4,7,8]
[4,2,3,6,5,1,8,7]=>[5,2,1,3,4,8,6,7]
[4,2,3,6,5,8,7,1]=>[4,1,8,2,3,5,7,6]
[4,2,3,7,5,6,1,8]=>[5,1,7,2,3,6,4,8]
[4,2,3,7,5,6,8,1]=>[5,1,6,2,3,4,8,7]
[4,2,3,8,5,6,7,1]=>[5,1,6,8,2,3,7,4]
[4,2,3,8,5,7,6,1]=>[1,8,5,7,2,3,6,4]
[4,2,3,7,6,5,8,1]=>[1,6,5,2,3,4,8,7]
[4,2,3,8,6,7,5,1]=>[1,5,8,7,2,3,6,4]
[4,2,3,8,7,6,5,1]=>[8,1,7,6,2,3,5,4]
[5,2,3,4,1,6,8,7]=>[2,3,4,1,8,5,6,7]
[5,2,3,4,1,7,8,6]=>[2,3,4,1,6,8,5,7]
[5,2,3,4,1,8,7,6]=>[8,2,3,1,4,7,5,6]
[5,2,3,4,6,1,8,7]=>[2,3,4,1,5,8,6,7]
[5,2,3,4,7,6,1,8]=>[7,2,3,1,4,6,5,8]
[5,2,3,4,8,6,7,1]=>[6,8,2,1,3,4,7,5]
[5,2,3,4,8,7,6,1]=>[8,7,2,1,3,4,6,5]
[6,2,3,4,5,1,8,7]=>[2,3,4,5,1,8,6,7]
[6,2,3,4,5,8,7,1]=>[8,2,3,4,1,5,7,6]
[8,2,3,4,5,7,6,1]=>[8,2,3,4,5,7,6,1]
[7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1,8]
[8,2,3,4,7,6,5,1]=>[8,7,2,3,4,6,5,1]
[6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7,8]
[6,2,3,5,4,1,8,7]=>[5,2,3,4,1,8,6,7]
[6,2,3,5,4,7,1,8]=>[5,2,3,4,1,7,6,8]
[6,2,3,5,4,7,8,1]=>[5,2,3,4,1,6,8,7]
[7,2,3,5,4,6,1,8]=>[5,2,3,4,7,6,1,8]
[8,2,3,5,4,6,7,1]=>[5,2,3,4,6,8,7,1]
[8,2,3,5,4,7,6,1]=>[4,8,2,3,5,7,6,1]
[7,2,3,5,6,4,1,8]=>[4,7,2,3,6,5,1,8]
[8,2,3,5,6,7,4,1]=>[4,5,8,2,3,7,6,1]
[8,2,3,5,7,6,4,1]=>[8,4,7,2,3,6,5,1]
[7,2,3,6,5,4,1,8]=>[7,6,2,3,5,4,1,8]
[8,2,3,6,5,4,7,1]=>[6,5,2,3,4,8,7,1]
[8,2,3,7,5,6,4,1]=>[5,8,7,2,3,6,4,1]
[8,2,3,7,6,5,4,1]=>[8,7,6,2,3,5,4,1]
[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7,8]
[5,2,4,3,1,6,8,7]=>[4,2,3,1,8,5,6,7]
[5,2,4,3,1,7,6,8]=>[4,2,3,1,7,5,6,8]
[5,2,4,3,1,8,7,6]=>[3,8,2,1,4,7,5,6]
[5,2,4,3,6,1,7,8]=>[4,2,3,1,6,5,7,8]
[5,2,4,3,6,1,8,7]=>[4,2,3,1,5,8,6,7]
[5,2,4,3,6,7,1,8]=>[4,2,3,1,5,7,6,8]
[5,2,4,3,7,6,1,8]=>[3,7,2,1,4,6,5,8]
[5,2,4,3,7,6,8,1]=>[3,6,2,1,4,5,8,7]
[5,2,4,3,8,7,6,1]=>[8,3,1,7,2,4,6,5]
[6,2,4,3,5,1,8,7]=>[4,2,3,5,1,8,6,7]
[7,2,4,3,6,5,1,8]=>[3,7,2,4,6,5,1,8]
[7,2,4,3,6,5,8,1]=>[3,6,2,4,5,1,8,7]
[8,2,4,3,6,5,7,1]=>[3,6,2,4,5,8,7,1]
[8,2,4,3,6,7,5,1]=>[3,5,8,2,4,7,6,1]
[8,2,4,3,7,6,5,1]=>[8,3,7,2,4,6,5,1]
[6,2,4,5,3,1,7,8]=>[3,6,2,5,4,1,7,8]
[6,2,4,5,3,1,8,7]=>[3,5,2,4,1,8,6,7]
[6,2,4,5,3,8,7,1]=>[3,4,8,2,1,5,7,6]
[7,2,4,5,3,6,1,8]=>[3,5,2,4,7,6,1,8]
[7,2,4,5,3,6,8,1]=>[3,5,2,4,6,1,8,7]
[8,2,4,5,3,7,6,1]=>[3,4,8,2,5,7,6,1]
[8,2,4,5,6,3,7,1]=>[3,4,6,2,5,8,7,1]
[8,2,4,5,6,7,3,1]=>[3,4,5,8,2,7,6,1]
[8,2,4,5,7,6,3,1]=>[8,3,4,7,2,6,5,1]
[7,2,4,6,5,3,1,8]=>[7,3,6,2,5,4,1,8]
[7,2,4,6,5,3,8,1]=>[6,3,5,2,4,1,8,7]
[8,2,4,7,5,6,3,1]=>[5,8,3,7,2,6,4,1]
[8,2,4,7,6,5,3,1]=>[8,7,3,6,2,5,4,1]
[6,2,5,4,3,1,7,8]=>[6,5,2,4,3,1,7,8]
[6,2,5,4,3,1,8,7]=>[5,4,2,3,1,8,6,7]
[6,2,5,4,3,7,1,8]=>[5,4,2,3,1,7,6,8]
[6,2,5,4,3,7,8,1]=>[5,4,2,3,1,6,8,7]
[7,2,5,4,3,6,1,8]=>[5,4,2,3,7,6,1,8]
[8,2,5,4,3,6,7,1]=>[5,4,2,3,6,8,7,1]
[8,2,5,4,3,7,6,1]=>[4,3,8,2,5,7,6,1]
[7,2,5,4,6,3,8,1]=>[4,3,6,2,5,1,8,7]
[8,2,5,4,7,6,3,1]=>[3,8,4,7,2,6,5,1]
[7,2,6,4,5,3,1,8]=>[4,7,6,2,5,3,1,8]
[7,2,6,4,5,3,8,1]=>[4,6,5,2,3,1,8,7]
[8,2,6,4,5,3,7,1]=>[4,6,5,2,3,8,7,1]
[8,2,6,4,5,7,3,1]=>[4,5,3,8,2,7,6,1]
[8,2,7,4,5,6,3,1]=>[4,5,8,7,2,6,3,1]
[8,2,7,4,6,5,3,1]=>[8,4,7,6,2,5,3,1]
[7,2,6,5,4,3,1,8]=>[7,6,5,2,4,3,1,8]
[7,2,6,5,4,3,8,1]=>[6,5,4,2,3,1,8,7]
[8,2,6,5,4,3,7,1]=>[6,5,4,2,3,8,7,1]
[8,2,6,5,4,7,3,1]=>[5,4,3,8,2,7,6,1]
[8,2,7,5,4,6,3,1]=>[5,4,8,7,2,6,3,1]
[8,2,7,5,6,4,3,1]=>[4,8,7,6,2,5,3,1]
[8,2,7,6,5,4,3,1]=>[8,7,6,5,2,4,3,1]
[4,3,2,1,8,6,7,5]=>[2,1,6,8,3,7,4,5]
[4,3,2,7,5,6,8,1]=>[2,1,5,6,3,4,8,7]
[4,3,2,8,5,6,7,1]=>[2,1,5,6,8,3,7,4]
[4,3,2,8,5,7,6,1]=>[1,8,2,5,7,3,6,4]
[4,3,2,8,6,7,5,1]=>[1,5,8,2,7,3,6,4]
[5,3,2,4,1,6,8,7]=>[3,2,4,1,8,5,6,7]
[5,3,2,4,1,7,6,8]=>[3,2,4,1,7,5,6,8]
[5,3,2,4,1,8,7,6]=>[2,8,3,1,4,7,5,6]
[5,3,2,4,6,1,8,7]=>[3,2,4,1,5,8,6,7]
[5,3,2,4,7,6,1,8]=>[2,7,3,1,4,6,5,8]
[8,3,2,4,6,5,7,1]=>[2,6,3,4,5,8,7,1]
[8,3,2,4,6,7,5,1]=>[2,5,8,3,4,7,6,1]
[8,3,2,4,7,6,5,1]=>[8,2,7,3,4,6,5,1]
[6,3,2,5,4,1,7,8]=>[2,6,3,5,4,1,7,8]
[6,3,2,5,4,1,8,7]=>[2,5,3,4,1,8,6,7]
[6,3,2,5,4,7,1,8]=>[2,5,3,4,1,7,6,8]
[6,3,2,5,4,7,8,1]=>[2,5,3,4,1,6,8,7]
[6,3,2,5,4,8,7,1]=>[2,4,8,3,1,5,7,6]
[7,3,2,5,4,6,1,8]=>[2,5,3,4,7,6,1,8]
[8,3,2,5,4,7,6,1]=>[2,4,8,3,5,7,6,1]
[7,3,2,5,6,4,8,1]=>[2,4,6,3,5,1,8,7]
[8,3,2,5,6,4,7,1]=>[2,4,6,3,5,8,7,1]
[8,3,2,5,6,7,4,1]=>[2,4,5,8,3,7,6,1]
[8,3,2,5,7,6,4,1]=>[8,2,4,7,3,6,5,1]
[8,3,2,6,5,7,4,1]=>[5,2,4,8,3,7,6,1]
[8,3,2,7,5,6,4,1]=>[5,8,2,7,3,6,4,1]
[8,3,2,7,6,5,4,1]=>[8,7,2,6,3,5,4,1]
[5,3,4,2,1,6,8,7]=>[2,4,3,1,8,5,6,7]
[5,3,4,2,1,7,8,6]=>[2,4,3,1,6,8,5,7]
[5,3,4,2,1,8,7,6]=>[2,3,1,8,4,7,5,6]
[5,3,4,2,6,1,8,7]=>[2,4,3,1,5,8,6,7]
[5,3,4,2,7,6,1,8]=>[2,3,1,7,4,6,5,8]
[5,3,4,2,7,6,8,1]=>[2,3,1,6,4,5,8,7]
[5,3,4,2,8,6,7,1]=>[2,3,1,6,8,4,7,5]
[6,3,4,2,5,1,8,7]=>[2,4,3,5,1,8,6,7]
[7,3,4,2,6,5,1,8]=>[2,3,7,4,6,5,1,8]
[7,3,4,2,6,5,8,1]=>[2,3,6,4,5,1,8,7]
[8,3,4,2,6,5,7,1]=>[2,3,6,4,5,8,7,1]
[6,3,4,5,2,1,8,7]=>[2,3,5,4,1,8,6,7]
[8,3,4,5,2,7,6,1]=>[2,3,4,8,5,7,6,1]
[8,3,4,5,7,6,2,1]=>[8,2,3,4,7,6,5,1]
[7,3,4,6,5,2,1,8]=>[7,2,3,6,5,4,1,8]
[8,3,4,7,6,5,2,1]=>[8,7,2,3,6,5,4,1]
[6,3,5,4,2,1,8,7]=>[5,2,4,3,1,8,6,7]
[6,3,5,4,2,7,1,8]=>[5,2,4,3,1,7,6,8]
[6,3,5,4,2,7,8,1]=>[5,2,4,3,1,6,8,7]
[6,3,5,4,2,8,7,1]=>[4,2,3,1,8,5,7,6]
[7,3,5,4,2,6,1,8]=>[5,2,4,3,7,6,1,8]
[8,3,5,4,2,6,7,1]=>[5,2,4,3,6,8,7,1]
[8,3,5,4,2,7,6,1]=>[4,2,3,8,5,7,6,1]
[7,3,5,4,6,2,1,8]=>[4,2,3,7,6,5,1,8]
[7,3,5,4,6,2,8,1]=>[4,2,3,6,5,1,8,7]
[8,3,5,4,6,7,2,1]=>[4,2,3,5,8,7,6,1]
[8,3,5,4,7,6,2,1]=>[3,8,2,4,7,6,5,1]
[7,3,6,4,5,2,1,8]=>[4,7,2,6,5,3,1,8]
[7,3,6,4,5,2,8,1]=>[4,6,2,5,3,1,8,7]
[8,3,6,4,5,2,7,1]=>[4,6,2,5,3,8,7,1]
[8,3,6,4,5,7,2,1]=>[4,5,2,3,8,7,6,1]
[8,3,7,4,5,6,2,1]=>[4,5,8,2,7,6,3,1]
[8,3,7,4,6,5,2,1]=>[8,4,7,2,6,5,3,1]
[7,3,6,5,4,2,1,8]=>[7,6,2,5,4,3,1,8]
[7,3,6,5,4,2,8,1]=>[6,5,2,4,3,1,8,7]
[8,3,6,5,4,2,7,1]=>[6,5,2,4,3,8,7,1]
[8,3,6,5,4,7,2,1]=>[5,4,2,3,8,7,6,1]
[8,3,7,5,4,6,2,1]=>[5,4,8,2,7,6,3,1]
[8,3,7,5,6,4,2,1]=>[4,8,7,2,6,5,3,1]
[8,3,7,6,5,4,2,1]=>[8,7,6,2,5,4,3,1]
[5,4,3,2,8,6,7,1]=>[3,2,1,6,8,4,7,5]
[6,4,3,2,5,1,8,7]=>[4,3,2,5,1,8,6,7]
[6,4,3,2,5,8,7,1]=>[3,2,8,4,1,5,7,6]
[8,4,3,2,5,7,6,1]=>[3,2,8,4,5,7,6,1]
[7,4,3,2,6,5,1,8]=>[3,2,7,4,6,5,1,8]
[7,4,3,2,6,5,8,1]=>[3,2,6,4,5,1,8,7]
[8,4,3,2,6,5,7,1]=>[3,2,6,4,5,8,7,1]
[8,4,3,2,6,7,5,1]=>[3,2,5,8,4,7,6,1]
[8,4,3,2,7,6,5,1]=>[2,8,3,7,4,6,5,1]
[6,4,3,5,2,1,8,7]=>[3,2,5,4,1,8,6,7]
[8,4,3,5,2,7,6,1]=>[3,2,4,8,5,7,6,1]
[8,4,3,5,7,6,2,1]=>[2,8,3,4,7,6,5,1]
[7,4,3,6,5,2,1,8]=>[2,7,3,6,5,4,1,8]
[7,4,3,6,5,2,8,1]=>[2,6,3,5,4,1,8,7]
[8,4,3,7,5,6,2,1]=>[2,5,8,3,7,6,4,1]
[8,4,3,7,6,5,2,1]=>[8,2,7,3,6,5,4,1]
[6,5,3,4,2,1,8,7]=>[3,5,4,2,1,8,6,7]
[8,5,3,4,2,7,6,1]=>[3,4,2,8,5,7,6,1]
[8,5,3,4,7,6,2,1]=>[8,3,2,4,7,6,5,1]
[8,7,3,4,6,5,2,1]=>[8,3,4,7,6,5,2,1]
[7,6,3,5,4,2,1,8]=>[7,3,6,5,4,2,1,8]
[7,6,3,5,4,2,8,1]=>[6,3,5,4,2,1,8,7]
[8,6,3,5,4,2,7,1]=>[6,3,5,4,2,8,7,1]
[8,6,3,5,4,7,2,1]=>[5,3,4,2,8,7,6,1]
[8,7,3,5,4,6,2,1]=>[5,3,4,8,7,6,2,1]
[8,7,3,5,6,4,2,1]=>[4,8,3,7,6,5,2,1]
[8,7,3,6,5,4,2,1]=>[8,7,3,6,5,4,2,1]
[8,5,4,3,2,7,6,1]=>[4,3,2,8,5,7,6,1]
[8,5,4,3,7,6,2,1]=>[3,2,8,4,7,6,5,1]
[8,7,4,3,6,5,2,1]=>[3,8,4,7,6,5,2,1]
[8,7,4,6,5,3,2,1]=>[8,3,7,6,5,4,2,1]
[2,4,1,3,6,5,8,7]=>[5,1,2,8,3,4,6,7]
[2,1,4,6,3,5,8,7]=>[8,1,3,5,2,4,6,7]
[2,4,1,6,3,5,8,7]=>[2,8,1,5,3,4,6,7]
[2,4,6,1,3,5,8,7]=>[2,8,1,4,5,3,6,7]
[2,1,4,3,6,8,5,7]=>[1,3,5,7,8,2,4,6]
[2,4,1,3,6,8,5,7]=>[5,1,2,7,8,3,4,6]
[2,1,4,6,3,8,5,7]=>[7,1,3,4,8,2,5,6]
[2,4,1,6,3,8,5,7]=>[2,7,1,4,8,3,5,6]
[2,4,6,1,3,8,5,7]=>[2,7,8,1,4,3,5,6]
[2,1,4,6,8,3,5,7]=>[6,1,3,4,7,8,2,5]
[2,4,1,6,8,3,5,7]=>[2,6,1,4,7,8,3,5]
[2,4,6,1,8,3,5,7]=>[2,6,7,1,3,8,4,5]
[2,4,6,8,1,3,5,7]=>[2,5,6,1,3,7,8,4]
[2,4,1,3,6,5,7,8]=>[6,1,3,2,4,5,7,8]
[2,1,4,6,3,5,7,8]=>[1,3,5,6,2,4,7,8]
[2,4,1,6,3,5,7,8]=>[5,1,2,6,3,4,7,8]
[2,4,6,1,3,5,7,8]=>[4,1,2,5,6,3,7,8]
[2,1,4,6,3,7,5,8]=>[7,1,3,5,2,4,6,8]
[2,4,1,6,3,7,5,8]=>[2,7,1,5,3,4,6,8]
[2,4,6,1,3,7,5,8]=>[2,7,1,4,5,3,6,8]
[2,1,4,6,7,3,5,8]=>[6,1,3,4,7,2,5,8]
[2,4,1,6,7,3,5,8]=>[2,6,1,4,7,3,5,8]
[2,4,6,7,1,3,5,8]=>[2,5,6,1,3,7,4,8]
[2,4,1,3,6,7,8,5]=>[5,1,2,6,8,3,4,7]
[2,1,4,6,3,7,8,5]=>[6,1,3,4,8,2,5,7]
[2,4,1,6,3,7,8,5]=>[2,6,1,4,8,3,5,7]
[2,4,6,1,3,7,8,5]=>[2,6,8,1,4,3,5,7]
[2,1,4,6,7,3,8,5]=>[4,8,1,3,6,2,5,7]
[2,4,1,6,7,3,8,5]=>[2,4,8,1,6,3,5,7]
[2,4,6,1,7,3,8,5]=>[8,2,6,1,4,3,5,7]
[2,4,6,7,1,3,8,5]=>[8,2,5,1,3,6,4,7]
[2,1,4,6,7,8,3,5]=>[4,7,1,3,5,8,2,6]
[2,4,1,6,7,8,3,5]=>[2,4,7,1,5,8,3,6]
[2,4,6,1,7,8,3,5]=>[7,2,5,1,3,8,4,6]
[2,4,6,7,1,8,3,5]=>[7,2,3,8,1,5,4,6]
[2,4,6,7,8,1,3,5]=>[6,2,3,7,1,4,8,5]
[2,1,4,3,7,5,8,6]=>[8,1,3,6,2,4,5,7]
[2,4,1,3,7,5,8,6]=>[2,8,1,6,3,4,5,7]
[2,1,4,7,3,5,8,6]=>[8,1,3,5,6,2,4,7]
[2,4,1,7,3,5,8,6]=>[2,8,1,5,6,3,4,7]
[2,4,7,1,3,5,8,6]=>[2,8,1,4,5,6,3,7]
[2,1,4,3,7,8,5,6]=>[7,1,3,5,8,2,4,6]
[2,4,1,3,7,8,5,6]=>[2,7,1,5,8,3,4,6]
[2,4,1,7,3,8,5,6]=>[2,7,8,1,5,3,4,6]
[2,4,7,1,3,8,5,6]=>[2,7,8,1,4,5,3,6]
[2,1,4,7,8,3,5,6]=>[6,7,1,3,4,8,2,5]
[2,4,1,7,8,3,5,6]=>[2,6,7,1,4,8,3,5]
[2,4,7,1,8,3,5,6]=>[2,6,7,8,1,4,3,5]
[2,4,7,8,1,3,5,6]=>[2,5,6,7,1,3,8,4]
[2,4,1,5,3,7,6,8]=>[4,1,2,7,3,5,6,8]
[2,4,5,1,3,7,6,8]=>[2,7,1,4,3,5,6,8]
[2,4,5,1,7,3,6,8]=>[2,6,1,3,7,4,5,8]
[2,4,1,3,5,7,8,6]=>[6,1,2,8,3,4,5,7]
[2,4,1,5,3,7,8,6]=>[4,1,2,6,8,3,5,7]
[2,4,5,1,3,7,8,6]=>[2,6,1,3,8,4,5,7]
[2,1,4,5,7,3,8,6]=>[8,1,3,4,6,2,5,7]
[2,4,1,5,7,3,8,6]=>[2,8,1,4,6,3,5,7]
[2,4,5,1,7,3,8,6]=>[2,3,8,1,6,4,5,7]
[2,4,5,7,1,3,8,6]=>[2,3,8,1,5,6,4,7]
[2,1,4,5,7,8,3,6]=>[7,1,3,4,5,8,2,6]
[2,4,5,1,7,8,3,6]=>[2,3,7,1,5,8,4,6]
[2,4,5,7,1,8,3,6]=>[2,3,7,8,1,5,4,6]
[2,4,5,7,8,1,3,6]=>[2,3,6,7,1,4,8,5]
[2,1,4,3,8,5,6,7]=>[1,3,6,7,8,2,4,5]
[2,4,1,3,8,5,6,7]=>[6,1,2,7,8,3,4,5]
[2,1,4,8,3,5,6,7]=>[1,3,5,6,7,8,2,4]
[2,4,1,8,3,5,6,7]=>[5,1,2,6,7,8,3,4]
[2,4,8,1,3,5,6,7]=>[4,1,2,5,6,7,8,3]
[2,1,4,3,5,8,6,7]=>[1,3,7,8,2,4,5,6]
[2,4,1,5,3,8,6,7]=>[4,1,2,7,8,3,5,6]
[2,1,4,5,8,3,6,7]=>[1,3,4,6,7,8,2,5]
[2,4,1,5,8,3,6,7]=>[4,1,2,6,7,8,3,5]
[2,4,5,1,8,3,6,7]=>[2,6,1,3,7,8,4,5]
[2,4,5,8,1,3,6,7]=>[2,5,1,3,6,7,8,4]
[2,4,1,5,3,6,8,7]=>[4,1,2,8,3,5,6,7]
[2,4,1,5,6,3,8,7]=>[4,1,2,5,8,3,6,7]
[2,4,5,1,6,3,8,7]=>[2,5,1,3,8,4,6,7]
[2,4,5,6,1,3,8,7]=>[2,3,8,1,5,4,6,7]
[2,1,4,5,6,8,3,7]=>[1,3,4,5,7,8,2,6]
[2,4,1,5,6,8,3,7]=>[4,1,2,5,7,8,3,6]
[2,4,5,1,6,8,3,7]=>[2,5,1,3,7,8,4,6]
[2,4,5,6,1,8,3,7]=>[2,3,7,1,4,8,5,6]
[2,4,5,6,8,1,3,7]=>[2,3,6,1,4,7,8,5]
[2,4,1,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]
[2,4,1,5,3,6,7,8]=>[5,1,3,2,4,6,7,8]
[2,4,5,1,3,6,7,8]=>[4,1,2,5,3,6,7,8]
[2,4,1,5,6,3,7,8]=>[4,1,2,6,3,5,7,8]
[2,4,5,1,6,3,7,8]=>[2,6,1,4,3,5,7,8]
[2,4,5,6,1,3,7,8]=>[2,5,1,3,6,4,7,8]
[2,4,1,5,6,7,3,8]=>[4,1,2,5,7,3,6,8]
[2,4,5,1,6,7,3,8]=>[2,5,1,3,7,4,6,8]
[2,4,5,6,1,7,3,8]=>[2,3,7,1,5,4,6,8]
[2,4,5,6,7,1,3,8]=>[2,3,6,1,4,7,5,8]
[2,4,1,5,6,7,8,3]=>[4,1,2,5,6,8,3,7]
[2,4,5,1,6,7,8,3]=>[2,5,1,3,6,8,4,7]
[2,4,5,6,1,7,8,3]=>[2,3,6,1,4,8,5,7]
[2,4,5,6,7,1,8,3]=>[2,3,4,8,1,6,5,7]
[2,4,5,6,7,8,1,3]=>[2,3,4,7,1,5,8,6]
[2,1,5,3,6,4,8,7]=>[5,1,3,8,2,4,6,7]
[2,5,1,3,6,4,8,7]=>[5,8,1,3,2,4,6,7]
[2,1,5,6,3,4,8,7]=>[3,8,1,5,2,4,6,7]
[2,5,1,6,3,4,8,7]=>[8,5,1,3,2,4,6,7]
[2,5,6,1,3,4,8,7]=>[8,4,1,2,5,3,6,7]
[2,1,5,3,6,8,4,7]=>[5,1,3,7,8,2,4,6]
[2,5,1,3,6,8,4,7]=>[5,7,1,2,8,3,4,6]
[2,5,1,6,3,8,4,7]=>[7,4,1,2,8,3,5,6]
[2,5,6,1,3,8,4,7]=>[7,2,8,1,4,3,5,6]
[2,1,5,6,8,3,4,7]=>[3,6,1,4,7,8,2,5]
[2,5,1,6,8,3,4,7]=>[6,4,1,2,7,8,3,5]
[2,5,6,8,1,3,4,7]=>[5,2,6,1,3,7,8,4]
[2,5,1,3,6,4,7,8]=>[6,1,3,4,2,5,7,8]
[2,1,5,6,3,4,7,8]=>[5,1,3,6,2,4,7,8]
[2,5,1,6,3,4,7,8]=>[5,6,1,3,2,4,7,8]
[2,1,5,3,6,7,4,8]=>[5,1,3,7,2,4,6,8]
[2,1,5,6,3,7,4,8]=>[3,7,1,5,2,4,6,8]
[2,5,1,6,3,7,4,8]=>[7,5,1,3,2,4,6,8]
[2,5,6,1,3,7,4,8]=>[7,4,1,2,5,3,6,8]
[2,1,5,6,7,3,4,8]=>[3,6,1,4,7,2,5,8]
[2,5,1,6,7,3,4,8]=>[6,4,1,2,7,3,5,8]
[2,5,6,1,7,3,4,8]=>[6,2,7,1,4,3,5,8]
[2,1,5,3,6,7,8,4]=>[5,1,3,6,8,2,4,7]
[2,5,1,3,6,7,8,4]=>[5,6,1,2,8,3,4,7]
[2,1,5,6,3,7,8,4]=>[3,6,1,4,8,2,5,7]
[2,5,1,6,3,7,8,4]=>[6,4,1,2,8,3,5,7]
[2,5,6,1,3,7,8,4]=>[6,2,8,1,4,3,5,7]
[2,1,5,6,7,3,8,4]=>[3,4,8,1,6,2,5,7]
[2,5,1,6,7,3,8,4]=>[4,2,8,1,6,3,5,7]
[2,5,6,7,1,3,8,4]=>[2,8,5,1,3,6,4,7]
[2,1,5,6,7,8,3,4]=>[3,4,7,1,5,8,2,6]
[2,5,1,6,7,8,3,4]=>[4,2,7,1,5,8,3,6]
[2,5,6,1,7,8,3,4]=>[2,7,5,1,3,8,4,6]
[2,5,6,7,1,8,3,4]=>[2,7,3,8,1,5,4,6]
[2,5,6,7,8,1,3,4]=>[2,6,3,7,1,4,8,5]
[2,1,5,3,7,4,8,6]=>[3,8,1,6,2,4,5,7]
[2,5,1,3,7,4,8,6]=>[8,6,1,3,2,4,5,7]
[2,1,5,7,3,4,8,6]=>[3,8,1,5,6,2,4,7]
[2,5,1,7,3,4,8,6]=>[8,5,1,2,6,3,4,7]
[2,5,7,1,3,4,8,6]=>[8,4,1,2,5,6,3,7]
[2,1,5,3,7,8,4,6]=>[3,7,1,5,8,2,4,6]
[2,5,1,3,7,8,4,6]=>[7,5,1,2,8,3,4,6]
[2,1,5,7,3,8,4,6]=>[3,7,8,1,5,2,4,6]
[2,5,1,7,3,8,4,6]=>[7,2,8,1,5,3,4,6]
[2,5,7,1,3,8,4,6]=>[7,2,8,1,4,5,3,6]
[2,1,5,7,8,3,4,6]=>[3,6,7,1,4,8,2,5]
[2,5,1,7,8,3,4,6]=>[6,2,7,1,4,8,3,5]
[2,5,7,1,8,3,4,6]=>[6,2,7,8,1,4,3,5]
[2,5,7,8,1,3,4,6]=>[5,2,6,7,1,3,8,4]
[2,5,1,3,7,4,6,8]=>[6,7,1,3,2,4,5,8]
[2,1,5,7,3,4,6,8]=>[5,1,3,6,7,2,4,8]
[2,3,5,1,4,7,6,8]=>[7,1,2,4,3,5,6,8]
[2,3,5,7,1,4,6,8]=>[5,1,2,3,6,7,4,8]
[2,3,5,1,7,4,8,6]=>[3,8,1,2,6,4,5,7]
[2,3,5,7,1,4,8,6]=>[3,8,1,2,5,6,4,7]
[2,3,1,5,7,8,4,6]=>[7,1,2,4,5,8,3,6]
[2,3,5,7,1,8,4,6]=>[3,7,8,1,2,5,4,6]
[2,3,5,7,8,1,4,6]=>[3,6,7,1,2,4,8,5]
[2,1,5,3,8,4,6,7]=>[6,1,3,7,8,2,4,5]
[2,5,1,3,8,4,6,7]=>[6,7,1,2,8,3,4,5]
[2,1,5,8,3,4,6,7]=>[5,1,3,6,7,8,2,4]
[2,5,1,8,3,4,6,7]=>[5,6,1,2,7,8,3,4]
[2,5,8,1,3,4,6,7]=>[4,5,1,2,6,7,8,3]
[2,3,5,1,4,8,6,7]=>[7,1,2,3,8,4,5,6]
[2,1,3,5,8,4,6,7]=>[1,4,6,7,8,2,3,5]
[2,3,5,1,8,4,6,7]=>[6,1,2,3,7,8,4,5]
[2,3,5,8,1,4,6,7]=>[5,1,2,3,6,7,8,4]
[2,1,5,3,4,6,8,7]=>[8,1,4,2,3,5,6,7]
[2,3,5,1,6,4,8,7]=>[5,1,2,3,8,4,6,7]
[2,3,5,6,1,4,8,7]=>[3,8,1,2,5,4,6,7]
[2,1,3,5,6,8,4,7]=>[1,4,5,7,8,2,3,6]
[2,3,1,5,6,8,4,7]=>[1,2,4,5,7,8,3,6]
[2,3,5,1,6,8,4,7]=>[5,1,2,3,7,8,4,6]
[2,3,5,6,1,8,4,7]=>[3,7,1,2,4,8,5,6]
[2,3,5,6,8,1,4,7]=>[3,6,1,2,4,7,8,5]
[2,1,5,3,4,6,7,8]=>[1,4,5,2,3,6,7,8]
[2,5,1,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]
[2,3,5,1,4,6,7,8]=>[1,2,4,5,3,6,7,8]
[2,3,5,1,6,4,7,8]=>[6,1,2,4,3,5,7,8]
[2,3,5,6,1,4,7,8]=>[5,1,2,3,6,4,7,8]
[2,3,5,6,1,7,4,8]=>[3,7,1,2,5,4,6,8]
[2,3,5,6,7,1,4,8]=>[3,6,1,2,4,7,5,8]
[2,3,5,1,6,7,8,4]=>[5,1,2,3,6,8,4,7]
[2,3,5,6,1,7,8,4]=>[3,6,1,2,4,8,5,7]
[2,3,5,6,7,1,8,4]=>[3,4,8,1,2,6,5,7]
[2,3,5,6,7,8,1,4]=>[3,4,7,1,2,5,8,6]
[2,1,6,3,7,4,8,5]=>[8,6,1,4,2,3,5,7]
[2,6,1,3,7,4,8,5]=>[8,6,1,3,4,2,5,7]
[2,1,6,7,3,4,8,5]=>[8,5,1,3,6,2,4,7]
[2,6,1,7,3,4,8,5]=>[8,5,6,1,3,2,4,7]
[2,6,7,1,3,4,8,5]=>[8,4,5,1,2,6,3,7]
[2,1,6,3,7,8,4,5]=>[7,5,1,3,8,2,4,6]
[2,6,1,3,7,8,4,5]=>[7,5,8,1,3,2,4,6]
[2,1,6,7,3,8,4,5]=>[7,3,8,1,5,2,4,6]
[2,6,1,7,3,8,4,5]=>[7,8,5,1,3,2,4,6]
[2,6,7,1,3,8,4,5]=>[7,8,4,1,2,5,3,6]
[2,1,6,7,8,3,4,5]=>[6,3,7,1,4,8,2,5]
[2,6,1,7,8,3,4,5]=>[6,7,4,1,2,8,3,5]
[2,6,7,1,8,3,4,5]=>[6,7,2,8,1,4,3,5]
[2,6,7,8,1,3,4,5]=>[5,6,2,7,1,3,8,4]
[2,1,6,3,7,4,5,8]=>[6,7,1,4,2,3,5,8]
[2,6,1,7,3,4,5,8]=>[5,6,7,1,3,2,4,8]
[2,6,7,1,3,4,5,8]=>[4,5,6,1,2,7,3,8]
[2,6,1,3,4,7,5,8]=>[7,1,3,4,5,2,6,8]
[2,3,1,6,4,7,5,8]=>[7,1,2,5,3,4,6,8]
[2,3,6,1,4,7,5,8]=>[7,1,2,4,5,3,6,8]
[2,3,6,7,1,4,5,8]=>[5,6,1,2,3,7,4,8]
[2,1,6,3,4,7,8,5]=>[6,8,1,4,2,3,5,7]
[2,6,1,3,4,7,8,5]=>[6,8,1,3,4,2,5,7]
[2,3,6,1,4,7,8,5]=>[6,8,1,2,4,3,5,7]
[2,1,3,6,7,4,8,5]=>[4,8,1,6,2,3,5,7]
[2,3,6,7,1,4,8,5]=>[8,5,1,2,3,6,4,7]
[2,1,3,6,7,8,4,5]=>[4,7,1,5,8,2,3,6]
[2,3,1,6,7,8,4,5]=>[4,7,1,2,5,8,3,6]
[2,3,6,1,7,8,4,5]=>[7,5,1,2,3,8,4,6]
[2,3,6,7,1,8,4,5]=>[7,3,8,1,2,5,4,6]
[2,3,6,7,8,1,4,5]=>[6,3,7,1,2,4,8,5]
[2,1,6,3,8,4,5,7]=>[6,7,1,3,8,2,4,5]
[2,6,1,3,8,4,5,7]=>[6,7,8,1,3,2,4,5]
[2,1,6,8,3,4,5,7]=>[5,6,1,3,7,8,2,4]
[2,6,1,8,3,4,5,7]=>[5,6,7,1,2,8,3,4]
[2,6,8,1,3,4,5,7]=>[4,5,6,1,2,7,8,3]
[2,1,6,3,4,8,5,7]=>[7,8,1,4,2,3,5,6]
[2,6,1,3,4,8,5,7]=>[7,8,1,3,4,2,5,6]
[2,1,3,6,4,8,5,7]=>[7,1,4,8,2,3,5,6]
[2,3,1,6,4,8,5,7]=>[7,1,2,4,8,3,5,6]
[2,3,6,1,4,8,5,7]=>[7,8,1,2,4,3,5,6]
[2,3,1,6,8,4,5,7]=>[6,1,2,4,7,8,3,5]
[2,3,6,1,8,4,5,7]=>[6,7,1,2,3,8,4,5]
[2,3,6,8,1,4,5,7]=>[5,6,1,2,3,7,8,4]
[2,1,6,3,4,5,8,7]=>[8,1,4,5,2,3,6,7]
[2,6,1,3,4,5,8,7]=>[8,1,3,4,5,2,6,7]
[2,1,3,6,4,5,8,7]=>[8,1,5,2,3,4,6,7]
[2,3,6,1,4,5,8,7]=>[8,1,2,4,5,3,6,7]
[2,3,4,1,6,8,5,7]=>[1,2,3,5,7,8,4,6]
[2,3,4,6,1,8,5,7]=>[7,1,2,3,4,8,5,6]
[2,3,4,6,8,1,5,7]=>[6,1,2,3,4,7,8,5]
[2,6,1,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]
[2,1,3,6,4,5,7,8]=>[1,5,6,2,3,4,7,8]
[2,3,1,6,4,5,7,8]=>[1,2,5,6,3,4,7,8]
[2,3,6,1,4,5,7,8]=>[1,2,4,5,6,3,7,8]
[2,3,4,6,1,5,7,8]=>[1,2,3,5,6,4,7,8]
[2,3,4,6,1,7,5,8]=>[7,1,2,3,5,4,6,8]
[2,3,4,6,7,1,5,8]=>[6,1,2,3,4,7,5,8]
[2,3,4,6,1,7,8,5]=>[6,1,2,3,4,8,5,7]
[2,3,4,6,7,8,1,5]=>[4,7,1,2,3,5,8,6]
[2,1,7,3,8,4,5,6]=>[6,7,8,1,4,2,3,5]
[2,7,1,3,8,4,5,6]=>[6,7,8,1,3,4,2,5]
[2,1,7,8,3,4,5,6]=>[5,6,7,1,3,8,2,4]
[2,7,1,8,3,4,5,6]=>[5,6,7,8,1,3,2,4]
[2,7,8,1,3,4,5,6]=>[4,5,6,7,1,2,8,3]
[2,1,7,3,4,8,5,6]=>[7,8,1,4,5,2,3,6]
[2,7,1,3,4,8,5,6]=>[7,8,1,3,4,5,2,6]
[2,1,3,7,4,8,5,6]=>[7,8,1,5,2,3,4,6]
[2,3,1,7,4,8,5,6]=>[7,8,1,2,5,3,4,6]
[2,3,7,1,4,8,5,6]=>[7,8,1,2,4,5,3,6]
[2,1,3,7,8,4,5,6]=>[6,7,1,4,8,2,3,5]
[2,3,1,7,8,4,5,6]=>[6,7,1,2,4,8,3,5]
[2,3,7,8,1,4,5,6]=>[5,6,7,1,2,3,8,4]
[2,1,7,3,4,5,8,6]=>[8,1,4,5,6,2,3,7]
[2,7,1,3,4,5,8,6]=>[8,1,3,4,5,6,2,7]
[2,3,1,7,4,5,8,6]=>[8,1,2,5,6,3,4,7]
[2,3,7,1,4,5,8,6]=>[8,1,2,4,5,6,3,7]
[2,1,3,4,7,5,8,6]=>[8,1,6,2,3,4,5,7]
[2,3,4,1,7,5,8,6]=>[8,1,2,3,6,4,5,7]
[2,3,4,7,1,5,8,6]=>[8,1,2,3,5,6,4,7]
[2,1,3,4,7,8,5,6]=>[7,1,5,8,2,3,4,6]
[2,3,1,4,7,8,5,6]=>[7,1,2,5,8,3,4,6]
[2,3,4,1,7,8,5,6]=>[7,1,2,3,5,8,4,6]
[2,3,4,7,1,8,5,6]=>[7,8,1,2,3,5,4,6]
[2,3,4,7,8,1,5,6]=>[6,7,1,2,3,4,8,5]
[2,1,7,3,4,5,6,8]=>[1,4,5,6,7,2,3,8]
[2,7,1,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]
[2,3,7,1,4,5,6,8]=>[1,2,4,5,6,7,3,8]
[2,1,3,4,7,5,6,8]=>[1,6,7,2,3,4,5,8]
[2,3,1,4,7,5,6,8]=>[1,2,6,7,3,4,5,8]
[2,3,4,1,7,5,6,8]=>[1,2,3,6,7,4,5,8]
[2,3,4,7,1,5,6,8]=>[1,2,3,5,6,7,4,8]
[2,3,4,5,7,1,6,8]=>[1,2,3,4,6,7,5,8]
[2,3,4,5,7,1,8,6]=>[8,1,2,3,4,6,5,7]
[2,3,4,5,7,8,1,6]=>[7,1,2,3,4,5,8,6]
[2,1,8,3,4,5,6,7]=>[1,4,5,6,7,8,2,3]
[2,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]
[2,1,3,8,4,5,6,7]=>[1,5,6,7,8,2,3,4]
[2,3,1,8,4,5,6,7]=>[1,2,5,6,7,8,3,4]
[2,3,8,1,4,5,6,7]=>[1,2,4,5,6,7,8,3]
[2,1,3,4,8,5,6,7]=>[1,6,7,8,2,3,4,5]
[2,3,1,4,8,5,6,7]=>[1,2,6,7,8,3,4,5]
[2,3,4,1,8,5,6,7]=>[1,2,3,6,7,8,4,5]
[2,3,4,8,1,5,6,7]=>[1,2,3,5,6,7,8,4]
[2,1,3,4,5,8,6,7]=>[1,7,8,2,3,4,5,6]
[2,3,1,4,5,8,6,7]=>[1,2,7,8,3,4,5,6]
[2,3,4,1,5,8,6,7]=>[1,2,3,7,8,4,5,6]
[2,3,4,5,1,8,6,7]=>[1,2,3,4,7,8,5,6]
[2,3,4,5,8,1,6,7]=>[1,2,3,4,6,7,8,5]
[2,3,4,5,6,8,1,7]=>[1,2,3,4,5,7,8,6]
[3,1,4,2,6,5,8,7]=>[3,1,5,8,2,4,6,7]
[3,4,1,2,6,5,8,7]=>[1,5,2,8,3,4,6,7]
[3,1,4,6,2,5,8,7]=>[1,8,3,5,2,4,6,7]
[3,4,1,6,2,5,8,7]=>[1,2,8,5,3,4,6,7]
[3,4,6,1,2,5,8,7]=>[1,2,8,4,5,3,6,7]
[3,1,4,2,6,8,5,7]=>[3,1,5,7,8,2,4,6]
[3,4,1,2,6,8,5,7]=>[1,5,2,7,8,3,4,6]
[3,1,4,6,2,8,5,7]=>[1,7,3,4,8,2,5,6]
[3,4,1,6,2,8,5,7]=>[1,2,7,4,8,3,5,6]
[3,1,4,6,8,2,5,7]=>[1,6,3,4,7,8,2,5]
[3,4,1,6,8,2,5,7]=>[1,2,6,4,7,8,3,5]
[3,4,6,8,1,2,5,7]=>[1,2,5,6,3,7,8,4]
[3,1,4,2,6,5,7,8]=>[3,1,6,2,4,5,7,8]
[3,4,1,2,6,5,7,8]=>[1,6,3,2,4,5,7,8]
[3,1,4,2,6,7,5,8]=>[3,1,5,7,2,4,6,8]
[3,4,1,2,6,7,5,8]=>[1,5,2,7,3,4,6,8]
[3,4,1,6,2,7,5,8]=>[1,2,7,5,3,4,6,8]
[3,4,6,1,2,7,5,8]=>[1,2,7,4,5,3,6,8]
[3,4,1,6,7,2,5,8]=>[1,2,6,4,7,3,5,8]
[3,4,6,7,1,2,5,8]=>[1,2,5,6,3,7,4,8]
[3,1,4,2,6,7,8,5]=>[3,1,5,6,8,2,4,7]
[3,4,1,2,6,7,8,5]=>[1,5,2,6,8,3,4,7]
[3,1,4,6,2,7,8,5]=>[1,6,3,4,8,2,5,7]
[3,4,1,6,2,7,8,5]=>[1,2,6,4,8,3,5,7]
[3,4,6,1,2,7,8,5]=>[1,2,6,8,4,3,5,7]
[3,1,4,6,7,2,8,5]=>[1,4,8,3,6,2,5,7]
[3,4,1,6,7,2,8,5]=>[1,2,4,8,6,3,5,7]
[3,4,6,1,7,2,8,5]=>[8,1,2,6,4,3,5,7]
[3,4,6,7,1,2,8,5]=>[8,1,2,5,3,6,4,7]
[3,1,4,6,7,8,2,5]=>[1,4,7,3,5,8,2,6]
[3,4,1,6,7,8,2,5]=>[1,2,4,7,5,8,3,6]
[3,4,6,1,7,8,2,5]=>[7,1,2,5,3,8,4,6]
[3,4,6,7,1,8,2,5]=>[7,1,2,3,8,5,4,6]
[3,4,6,7,8,1,2,5]=>[6,1,2,3,7,4,8,5]
[3,1,4,2,7,5,8,6]=>[1,8,3,6,2,4,5,7]
[3,4,1,2,7,5,8,6]=>[1,2,8,6,3,4,5,7]
[3,1,4,7,2,5,8,6]=>[1,8,3,5,6,2,4,7]
[3,4,1,7,2,5,8,6]=>[1,2,8,5,6,3,4,7]
[3,4,7,1,2,5,8,6]=>[1,2,8,4,5,6,3,7]
[3,1,4,2,7,8,5,6]=>[1,7,3,5,8,2,4,6]
[3,4,1,2,7,8,5,6]=>[1,2,7,5,8,3,4,6]
[3,1,4,7,2,8,5,6]=>[1,7,8,3,5,2,4,6]
[3,4,7,1,8,2,5,6]=>[1,2,6,7,8,4,3,5]
[3,4,7,8,1,2,5,6]=>[1,2,5,6,7,3,8,4]
[3,4,1,2,7,5,6,8]=>[1,6,2,7,3,4,5,8]
[3,4,1,2,5,7,6,8]=>[1,7,3,2,4,5,6,8]
[3,1,4,5,2,7,6,8]=>[3,1,4,7,2,5,6,8]
[3,4,1,5,2,7,6,8]=>[1,4,2,7,3,5,6,8]
[3,4,1,5,7,2,6,8]=>[1,4,2,6,7,3,5,8]
[3,4,5,1,7,2,6,8]=>[1,2,6,3,7,4,5,8]
[3,4,5,7,1,2,6,8]=>[1,2,5,3,6,7,4,8]
[3,4,1,2,5,7,8,6]=>[1,6,2,8,3,4,5,7]
[3,4,5,1,2,7,8,6]=>[1,2,6,3,8,4,5,7]
[3,1,4,5,7,2,8,6]=>[1,8,3,4,6,2,5,7]
[3,4,1,5,7,2,8,6]=>[1,2,8,4,6,3,5,7]
[3,4,5,7,1,2,8,6]=>[1,2,3,8,5,6,4,7]
[3,1,4,5,7,8,2,6]=>[1,7,3,4,5,8,2,6]
[3,4,1,5,7,8,2,6]=>[1,2,7,4,5,8,3,6]
[3,4,5,1,7,8,2,6]=>[1,2,3,7,5,8,4,6]
[3,4,5,7,1,8,2,6]=>[1,2,3,7,8,5,4,6]
[3,4,5,7,8,1,2,6]=>[1,2,3,6,7,4,8,5]
[3,1,4,2,8,5,6,7]=>[3,1,6,7,8,2,4,5]
[3,4,1,2,8,5,6,7]=>[1,6,2,7,8,3,4,5]
[3,1,4,8,2,5,6,7]=>[3,1,5,6,7,8,2,4]
[3,4,1,8,2,5,6,7]=>[1,5,2,6,7,8,3,4]
[3,4,8,1,2,5,6,7]=>[1,4,2,5,6,7,8,3]
[3,4,1,2,5,8,6,7]=>[1,7,2,8,3,4,5,6]
[3,4,1,5,2,8,6,7]=>[1,4,2,7,8,3,5,6]
[3,4,5,1,2,8,6,7]=>[1,2,7,3,8,4,5,6]
[3,1,4,5,8,2,6,7]=>[3,1,4,6,7,8,2,5]
[3,4,1,5,8,2,6,7]=>[1,4,2,6,7,8,3,5]
[3,4,5,8,1,2,6,7]=>[1,2,5,3,6,7,8,4]
[3,4,1,2,5,6,8,7]=>[1,8,3,2,4,5,6,7]
[3,4,5,1,2,6,8,7]=>[1,2,8,4,3,5,6,7]
[3,1,4,5,6,2,8,7]=>[3,1,4,5,8,2,6,7]
[3,4,1,5,6,2,8,7]=>[1,4,2,5,8,3,6,7]
[3,4,5,1,6,2,8,7]=>[1,2,5,3,8,4,6,7]
[3,4,5,6,1,2,8,7]=>[1,2,3,8,5,4,6,7]
[3,1,4,5,6,8,2,7]=>[3,1,4,5,7,8,2,6]
[3,4,1,5,6,8,2,7]=>[1,4,2,5,7,8,3,6]
[3,4,5,6,1,8,2,7]=>[1,2,3,7,4,8,5,6]
[3,4,5,6,8,1,2,7]=>[1,2,3,6,4,7,8,5]
[3,1,4,2,5,6,7,8]=>[4,2,1,3,5,6,7,8]
[3,1,4,5,2,6,7,8]=>[3,1,5,2,4,6,7,8]
[3,4,1,5,2,6,7,8]=>[1,5,3,2,4,6,7,8]
[3,1,4,5,6,2,7,8]=>[3,1,4,6,2,5,7,8]
[3,4,1,5,6,2,7,8]=>[1,4,2,6,3,5,7,8]
[3,4,5,1,6,2,7,8]=>[1,2,6,4,3,5,7,8]
[3,1,4,5,6,7,2,8]=>[3,1,4,5,7,2,6,8]
[3,4,1,5,6,7,2,8]=>[1,4,2,5,7,3,6,8]
[3,4,5,1,6,7,2,8]=>[1,2,5,3,7,4,6,8]
[3,4,5,6,1,7,2,8]=>[1,2,3,7,5,4,6,8]
[3,1,4,5,6,7,8,2]=>[3,1,4,5,6,8,2,7]
[3,4,1,5,6,7,8,2]=>[1,4,2,5,6,8,3,7]
[3,4,5,1,6,7,8,2]=>[1,2,5,3,6,8,4,7]
[3,4,5,6,1,7,8,2]=>[1,2,3,6,4,8,5,7]
[3,4,5,6,7,1,8,2]=>[1,2,3,4,8,6,5,7]
[3,1,5,2,6,4,8,7]=>[1,5,3,8,2,4,6,7]
[3,5,1,2,6,4,8,7]=>[1,5,8,3,2,4,6,7]
[3,1,5,6,2,4,8,7]=>[1,3,8,5,2,4,6,7]
[3,5,1,6,2,4,8,7]=>[8,1,5,3,2,4,6,7]
[3,5,6,1,2,4,8,7]=>[8,1,4,2,5,3,6,7]
[3,1,5,2,6,8,4,7]=>[1,5,3,7,8,2,4,6]
[3,5,1,2,6,8,4,7]=>[1,5,7,2,8,3,4,6]
[3,1,5,6,2,8,4,7]=>[1,3,7,4,8,2,5,6]
[3,5,6,1,2,8,4,7]=>[7,1,2,8,4,3,5,6]
[3,1,5,6,8,2,4,7]=>[1,3,6,4,7,8,2,5]
[3,5,1,6,8,2,4,7]=>[6,1,4,2,7,8,3,5]
[3,5,6,1,8,2,4,7]=>[6,1,2,7,3,8,4,5]
[3,5,6,8,1,2,4,7]=>[5,1,2,6,3,7,8,4]
[3,1,5,6,2,4,7,8]=>[1,5,3,6,2,4,7,8]
[3,5,1,6,2,4,7,8]=>[1,5,6,3,2,4,7,8]
[3,5,6,1,2,4,7,8]=>[1,4,5,2,6,3,7,8]
[3,5,1,2,6,7,4,8]=>[1,5,7,3,2,4,6,8]
[3,5,1,6,2,7,4,8]=>[7,1,5,3,2,4,6,8]
[3,5,6,1,2,7,4,8]=>[7,1,4,2,5,3,6,8]
[3,5,1,6,7,2,4,8]=>[6,1,4,2,7,3,5,8]
[3,5,6,1,7,2,4,8]=>[6,1,2,7,4,3,5,8]
[3,5,6,7,1,2,4,8]=>[5,1,2,6,3,7,4,8]
[3,1,5,2,6,7,8,4]=>[1,5,3,6,8,2,4,7]
[3,5,1,2,6,7,8,4]=>[1,5,6,2,8,3,4,7]
[3,1,5,6,2,7,8,4]=>[1,3,6,4,8,2,5,7]
[3,5,1,6,2,7,8,4]=>[6,1,4,2,8,3,5,7]
[3,5,6,1,2,7,8,4]=>[6,1,2,8,4,3,5,7]
[3,1,5,6,7,2,8,4]=>[1,3,4,8,6,2,5,7]
[3,5,1,6,7,2,8,4]=>[4,1,2,8,6,3,5,7]
[3,5,6,1,7,2,8,4]=>[2,8,1,6,4,3,5,7]
[3,5,6,7,1,2,8,4]=>[2,8,1,5,3,6,4,7]
[3,1,5,6,7,8,2,4]=>[1,3,4,7,5,8,2,6]
[3,5,1,6,7,8,2,4]=>[4,1,2,7,5,8,3,6]
[3,5,6,1,7,8,2,4]=>[2,7,1,5,3,8,4,6]
[3,5,6,7,1,8,2,4]=>[2,7,1,3,8,5,4,6]
[3,5,6,7,8,1,2,4]=>[2,6,1,3,7,4,8,5]
[3,1,5,2,7,4,8,6]=>[1,3,8,6,2,4,5,7]
[3,5,1,2,7,4,8,6]=>[8,1,6,3,2,4,5,7]
[3,1,5,7,2,4,8,6]=>[1,3,8,5,6,2,4,7]
[3,5,1,7,2,4,8,6]=>[8,1,5,2,6,3,4,7]
[3,5,7,1,2,4,8,6]=>[8,1,4,2,5,6,3,7]
[3,1,5,2,7,8,4,6]=>[1,3,7,5,8,2,4,6]
[3,5,1,2,7,8,4,6]=>[7,1,5,2,8,3,4,6]
[3,1,5,7,2,8,4,6]=>[1,3,7,8,5,2,4,6]
[3,5,1,7,2,8,4,6]=>[7,1,2,8,5,3,4,6]
[3,5,7,1,2,8,4,6]=>[7,1,2,8,4,5,3,6]
[3,1,5,7,8,2,4,6]=>[1,3,6,7,4,8,2,5]
[3,5,1,7,8,2,4,6]=>[6,1,2,7,4,8,3,5]
[3,5,7,8,1,2,4,6]=>[5,1,2,6,7,3,8,4]
[3,1,5,2,7,4,6,8]=>[1,6,3,7,2,4,5,8]
[3,5,1,2,7,4,6,8]=>[1,6,7,3,2,4,5,8]
[3,1,5,7,2,4,6,8]=>[1,5,3,6,7,2,4,8]
[3,5,1,7,2,4,6,8]=>[1,5,6,2,7,3,4,8]
[3,5,7,1,2,4,6,8]=>[1,4,5,2,6,7,3,8]
[3,1,5,2,4,7,6,8]=>[1,7,4,2,3,5,6,8]
[3,5,1,2,4,7,6,8]=>[1,7,3,4,2,5,6,8]
[3,1,2,5,4,7,6,8]=>[4,1,7,2,3,5,6,8]
[1,3,5,2,4,7,6,8]=>[7,2,4,1,3,5,6,8]
[3,1,2,5,7,4,6,8]=>[4,1,6,7,2,3,5,8]
[1,3,2,5,7,4,6,8]=>[2,4,6,7,1,3,5,8]
[1,3,5,2,7,4,6,8]=>[6,2,3,7,1,4,5,8]
[1,3,5,7,2,4,6,8]=>[5,2,3,6,7,1,4,8]
[3,1,5,2,4,7,8,6]=>[1,6,3,8,2,4,5,7]
[3,5,1,2,4,7,8,6]=>[1,6,8,3,2,4,5,7]
[1,3,5,2,4,7,8,6]=>[6,2,3,8,1,4,5,7]
[3,1,2,5,7,4,8,6]=>[1,8,4,6,2,3,5,7]
[1,3,2,5,7,4,8,6]=>[8,2,4,6,1,3,5,7]
[1,3,5,2,7,4,8,6]=>[3,8,2,6,1,4,5,7]
[1,3,5,7,2,4,8,6]=>[3,8,2,5,6,1,4,7]
[3,1,2,5,7,8,4,6]=>[1,7,4,5,8,2,3,6]
[1,3,2,5,7,8,4,6]=>[7,2,4,5,8,1,3,6]
[1,3,5,2,7,8,4,6]=>[3,7,2,5,8,1,4,6]
[1,3,5,7,2,8,4,6]=>[3,7,8,2,5,1,4,6]
[1,3,5,7,8,2,4,6]=>[3,6,7,2,4,8,1,5]
[3,1,5,2,8,4,6,7]=>[1,6,3,7,8,2,4,5]
[3,5,1,2,8,4,6,7]=>[1,6,7,2,8,3,4,5]
[3,1,5,8,2,4,6,7]=>[1,5,3,6,7,8,2,4]
[3,5,1,8,2,4,6,7]=>[1,5,6,2,7,8,3,4]
[3,1,5,2,4,8,6,7]=>[1,7,3,8,2,4,5,6]
[3,5,1,2,4,8,6,7]=>[1,7,8,3,2,4,5,6]
[1,3,2,5,4,8,6,7]=>[2,4,7,8,1,3,5,6]
[1,3,5,2,4,8,6,7]=>[7,2,3,8,1,4,5,6]
[3,1,2,5,8,4,6,7]=>[4,1,6,7,8,2,3,5]
[1,3,2,5,8,4,6,7]=>[2,4,6,7,8,1,3,5]
[1,3,5,2,8,4,6,7]=>[6,2,3,7,8,1,4,5]
[1,3,5,8,2,4,6,7]=>[5,2,3,6,7,8,1,4]
[3,1,5,2,4,6,8,7]=>[1,8,4,2,3,5,6,7]
[3,5,1,2,4,6,8,7]=>[1,8,3,4,2,5,6,7]
[3,1,2,5,4,6,8,7]=>[4,1,8,2,3,5,6,7]
[1,3,5,2,4,6,8,7]=>[8,2,4,1,3,5,6,7]
[1,3,5,2,6,4,8,7]=>[5,2,3,8,1,4,6,7]
[1,3,5,6,2,4,8,7]=>[3,8,2,5,1,4,6,7]
[3,1,2,5,6,8,4,7]=>[4,1,5,7,8,2,3,6]
[1,3,5,2,6,8,4,7]=>[5,2,3,7,8,1,4,6]
[1,3,5,6,2,8,4,7]=>[3,7,2,4,8,1,5,6]
[1,3,5,6,8,2,4,7]=>[3,6,2,4,7,8,1,5]
[3,1,5,2,4,6,7,8]=>[4,1,5,2,3,6,7,8]
[3,5,1,2,4,6,7,8]=>[3,1,4,5,2,6,7,8]
[1,3,5,2,4,6,7,8]=>[2,4,5,1,3,6,7,8]
[3,1,2,5,6,4,7,8]=>[4,1,6,2,3,5,7,8]
[1,3,5,2,6,4,7,8]=>[6,2,4,1,3,5,7,8]
[1,3,5,6,2,4,7,8]=>[5,2,3,6,1,4,7,8]
[3,1,2,5,6,7,4,8]=>[4,1,5,7,2,3,6,8]
[1,3,5,2,6,7,4,8]=>[5,2,3,7,1,4,6,8]
[1,3,5,6,2,7,4,8]=>[3,7,2,5,1,4,6,8]
[1,3,5,6,7,2,4,8]=>[3,6,2,4,7,1,5,8]
[3,1,2,5,6,7,8,4]=>[4,1,5,6,8,2,3,7]
[1,3,5,2,6,7,8,4]=>[5,2,3,6,8,1,4,7]
[1,3,5,6,2,7,8,4]=>[3,6,2,4,8,1,5,7]
[1,3,5,6,7,2,8,4]=>[3,4,8,2,6,1,5,7]
[1,3,5,6,7,8,2,4]=>[3,4,7,2,5,8,1,6]
[3,1,6,2,7,4,8,5]=>[8,1,6,4,2,3,5,7]
[3,6,1,2,7,4,8,5]=>[8,1,6,3,4,2,5,7]
[3,6,1,7,2,4,8,5]=>[8,1,5,6,3,2,4,7]
[3,6,7,1,2,4,8,5]=>[8,1,4,5,2,6,3,7]
[3,6,1,2,7,8,4,5]=>[7,1,5,8,3,2,4,6]
[3,1,6,7,2,8,4,5]=>[7,1,3,8,5,2,4,6]
[3,6,1,7,2,8,4,5]=>[7,8,1,5,3,2,4,6]
[3,6,7,1,2,8,4,5]=>[7,8,1,4,2,5,3,6]
[3,6,1,7,8,2,4,5]=>[6,7,1,4,2,8,3,5]
[3,6,7,8,1,2,4,5]=>[5,6,1,2,7,3,8,4]
[3,1,6,2,7,4,5,8]=>[1,6,7,4,2,3,5,8]
[3,1,6,7,2,4,5,8]=>[1,5,6,3,7,2,4,8]
[3,6,7,1,2,4,5,8]=>[1,4,5,6,2,7,3,8]
[3,1,6,2,4,7,5,8]=>[1,7,4,5,2,3,6,8]
[3,6,1,2,4,7,5,8]=>[1,7,3,4,5,2,6,8]
[3,1,2,6,4,7,5,8]=>[1,7,5,2,3,4,6,8]
[1,3,2,6,4,7,5,8]=>[7,2,5,1,3,4,6,8]
[1,3,6,2,4,7,5,8]=>[7,2,4,5,1,3,6,8]
[1,3,2,6,7,4,5,8]=>[6,2,4,7,1,3,5,8]
[1,3,6,2,7,4,5,8]=>[6,7,2,4,1,3,5,8]
[3,1,6,2,4,7,8,5]=>[1,6,8,4,2,3,5,7]
[3,6,1,2,4,7,8,5]=>[1,6,8,3,4,2,5,7]
[3,1,2,6,4,7,8,5]=>[1,6,4,8,2,3,5,7]
[1,3,2,6,4,7,8,5]=>[6,2,4,8,1,3,5,7]
[1,3,6,2,4,7,8,5]=>[6,8,2,4,1,3,5,7]
[3,1,2,6,7,4,8,5]=>[1,4,8,6,2,3,5,7]
[1,3,2,6,7,4,8,5]=>[4,8,2,6,1,3,5,7]
[1,3,6,2,7,4,8,5]=>[8,6,2,4,1,3,5,7]
[1,3,6,7,2,4,8,5]=>[8,5,2,3,6,1,4,7]
[3,1,2,6,7,8,4,5]=>[1,4,7,5,8,2,3,6]
[1,3,2,6,7,8,4,5]=>[4,7,2,5,8,1,3,6]
[1,3,6,2,7,8,4,5]=>[7,5,2,3,8,1,4,6]
[1,3,6,7,8,2,4,5]=>[6,3,7,2,4,8,1,5]
[3,1,6,2,8,4,5,7]=>[1,6,7,3,8,2,4,5]
[3,6,1,2,8,4,5,7]=>[1,6,7,8,3,2,4,5]
[3,1,6,8,2,4,5,7]=>[1,5,6,3,7,8,2,4]
[3,6,1,8,2,4,5,7]=>[1,5,6,7,2,8,3,4]
[3,6,8,1,2,4,5,7]=>[1,4,5,6,2,7,8,3]
[3,1,6,2,4,8,5,7]=>[1,7,8,4,2,3,5,6]
[3,6,1,2,4,8,5,7]=>[1,7,8,3,4,2,5,6]
[1,3,2,6,4,8,5,7]=>[7,2,4,8,1,3,5,6]
[1,3,6,2,4,8,5,7]=>[7,8,2,4,1,3,5,6]
[3,1,2,6,8,4,5,7]=>[1,6,4,7,8,2,3,5]
[1,3,2,6,8,4,5,7]=>[6,2,4,7,8,1,3,5]
[3,1,6,2,4,5,8,7]=>[1,8,4,5,2,3,6,7]
[3,6,1,2,4,5,8,7]=>[1,8,3,4,5,2,6,7]
[3,1,2,6,4,5,8,7]=>[1,8,5,2,3,4,6,7]
[1,3,6,2,4,5,8,7]=>[8,2,4,5,1,3,6,7]
[3,1,2,4,6,5,8,7]=>[5,1,8,2,3,4,6,7]
[1,3,4,6,2,5,8,7]=>[8,2,3,5,1,4,6,7]
[3,1,2,4,6,8,5,7]=>[5,1,7,8,2,3,4,6]
[1,3,2,4,6,8,5,7]=>[2,5,7,8,1,3,4,6]
[1,3,4,6,8,2,5,7]=>[6,2,3,4,7,8,1,5]
[3,1,6,2,4,5,7,8]=>[4,1,5,6,2,3,7,8]
[3,6,1,2,4,5,7,8]=>[3,1,4,5,6,2,7,8]
[1,3,2,6,4,5,7,8]=>[2,5,6,1,3,4,7,8]
[1,3,6,2,4,5,7,8]=>[2,4,5,6,1,3,7,8]
[1,3,4,6,2,5,7,8]=>[2,3,5,6,1,4,7,8]
[3,1,2,4,6,7,5,8]=>[5,1,7,2,3,4,6,8]
[1,3,4,6,2,7,5,8]=>[7,2,3,5,1,4,6,8]
[1,3,4,6,7,2,5,8]=>[6,2,3,4,7,1,5,8]
[3,1,2,4,6,7,8,5]=>[5,1,6,8,2,3,4,7]
[1,3,4,6,7,2,8,5]=>[4,8,2,3,6,1,5,7]
[1,3,4,6,7,8,2,5]=>[4,7,2,3,5,8,1,6]
[3,1,7,2,8,4,5,6]=>[1,6,7,8,4,2,3,5]
[3,7,1,2,8,4,5,6]=>[1,6,7,8,3,4,2,5]
[3,1,7,8,2,4,5,6]=>[1,5,6,7,3,8,2,4]
[3,7,1,8,2,4,5,6]=>[1,5,6,7,8,3,2,4]
[3,7,8,1,2,4,5,6]=>[1,4,5,6,7,2,8,3]
[3,7,1,2,4,8,5,6]=>[1,7,8,3,4,5,2,6]
[3,1,2,7,4,8,5,6]=>[1,7,8,5,2,3,4,6]
[1,3,2,7,4,8,5,6]=>[7,8,2,5,1,3,4,6]
[1,3,7,2,4,8,5,6]=>[7,8,2,4,5,1,3,6]
[3,1,2,7,8,4,5,6]=>[1,6,7,4,8,2,3,5]
[1,3,7,2,8,4,5,6]=>[6,7,8,2,4,1,3,5]
[1,3,7,8,2,4,5,6]=>[5,6,7,2,3,8,1,4]
[3,1,7,2,4,5,8,6]=>[1,8,4,5,6,2,3,7]
[3,7,1,2,4,5,8,6]=>[1,8,3,4,5,6,2,7]
[3,1,2,4,7,5,8,6]=>[1,8,6,2,3,4,5,7]
[1,3,2,4,7,5,8,6]=>[8,2,6,1,3,4,5,7]
[1,3,4,2,7,5,8,6]=>[8,2,3,6,1,4,5,7]
[1,3,4,7,2,5,8,6]=>[8,2,3,5,6,1,4,7]
[3,1,2,4,7,8,5,6]=>[1,7,5,8,2,3,4,6]
[1,3,2,4,7,8,5,6]=>[7,2,5,8,1,3,4,6]
[1,3,4,2,7,8,5,6]=>[7,2,3,5,8,1,4,6]
[1,3,4,7,8,2,5,6]=>[6,7,2,3,4,8,1,5]
[3,1,7,2,4,5,6,8]=>[4,1,5,6,7,2,3,8]
[3,7,1,2,4,5,6,8]=>[3,1,4,5,6,7,2,8]
[3,1,2,7,4,5,6,8]=>[5,1,6,7,2,3,4,8]
[1,3,2,7,4,5,6,8]=>[2,5,6,7,1,3,4,8]
[1,3,7,2,4,5,6,8]=>[2,4,5,6,7,1,3,8]
[3,1,2,4,7,5,6,8]=>[6,1,7,2,3,4,5,8]
[1,3,4,7,2,5,6,8]=>[2,3,5,6,7,1,4,8]
[3,1,2,4,5,7,6,8]=>[7,2,1,3,4,5,6,8]
[1,3,4,5,7,2,6,8]=>[2,3,4,6,7,1,5,8]
[3,1,2,4,5,7,8,6]=>[6,1,8,2,3,4,5,7]
[1,3,4,5,7,2,8,6]=>[8,2,3,4,6,1,5,7]
[1,3,4,5,7,8,2,6]=>[7,2,3,4,5,8,1,6]
[3,1,8,2,4,5,6,7]=>[4,1,5,6,7,8,2,3]
[3,8,1,2,4,5,6,7]=>[3,1,4,5,6,7,8,2]
[3,1,2,8,4,5,6,7]=>[5,1,6,7,8,2,3,4]
[1,3,2,8,4,5,6,7]=>[2,5,6,7,8,1,3,4]
[1,3,8,2,4,5,6,7]=>[2,4,5,6,7,8,1,3]
[3,1,2,4,8,5,6,7]=>[6,1,7,8,2,3,4,5]
[1,3,2,4,8,5,6,7]=>[2,6,7,8,1,3,4,5]
[1,3,4,2,8,5,6,7]=>[2,3,6,7,8,1,4,5]
[1,3,4,8,2,5,6,7]=>[2,3,5,6,7,8,1,4]
[3,1,2,4,5,8,6,7]=>[7,1,8,2,3,4,5,6]
[1,3,2,4,5,8,6,7]=>[2,7,8,1,3,4,5,6]
[1,3,4,2,5,8,6,7]=>[2,3,7,8,1,4,5,6]
[1,3,4,5,2,8,6,7]=>[2,3,4,7,8,1,5,6]
[1,3,4,5,8,2,6,7]=>[2,3,4,6,7,8,1,5]
[3,1,2,4,5,6,8,7]=>[8,2,1,3,4,5,6,7]
[1,3,4,5,6,8,2,7]=>[2,3,4,5,7,8,1,6]
[4,1,5,2,6,3,8,7]=>[5,3,1,8,2,4,6,7]
[4,5,1,2,6,3,8,7]=>[5,1,8,3,2,4,6,7]
[4,1,5,6,2,3,8,7]=>[3,1,8,5,2,4,6,7]
[4,5,1,6,2,3,8,7]=>[1,8,5,3,2,4,6,7]
[4,5,6,1,2,3,8,7]=>[1,8,4,2,5,3,6,7]
[4,1,5,2,6,8,3,7]=>[5,3,1,7,8,2,4,6]
[4,1,5,6,2,8,3,7]=>[3,1,7,4,8,2,5,6]
[4,5,1,6,2,8,3,7]=>[1,7,4,2,8,3,5,6]
[4,5,6,1,2,8,3,7]=>[1,7,2,8,4,3,5,6]
[4,1,5,6,8,2,3,7]=>[3,1,6,4,7,8,2,5]
[4,5,1,6,8,2,3,7]=>[1,6,4,2,7,8,3,5]
[4,5,6,1,8,2,3,7]=>[1,6,2,7,3,8,4,5]
[4,5,6,8,1,2,3,7]=>[1,5,2,6,3,7,8,4]
[4,1,5,2,6,3,7,8]=>[6,4,2,1,3,5,7,8]
[4,1,5,6,2,3,7,8]=>[5,3,1,6,2,4,7,8]
[4,5,1,6,2,3,7,8]=>[5,1,6,3,2,4,7,8]
[4,5,1,2,6,7,3,8]=>[5,1,7,3,2,4,6,8]
[4,5,1,6,2,7,3,8]=>[1,7,5,3,2,4,6,8]
[4,5,6,1,2,7,3,8]=>[1,7,4,2,5,3,6,8]
[4,1,5,6,7,2,3,8]=>[3,1,6,4,7,2,5,8]
[4,5,1,6,7,2,3,8]=>[1,6,4,2,7,3,5,8]
[4,5,6,1,7,2,3,8]=>[1,6,2,7,4,3,5,8]
[4,1,5,2,6,7,8,3]=>[5,3,1,6,8,2,4,7]
[4,5,1,2,6,7,8,3]=>[5,1,6,2,8,3,4,7]
[4,5,1,6,2,7,8,3]=>[1,6,4,2,8,3,5,7]
[4,5,6,1,2,7,8,3]=>[1,6,2,8,4,3,5,7]
[4,1,5,6,7,2,8,3]=>[3,1,4,8,6,2,5,7]
[4,5,1,6,7,2,8,3]=>[1,4,2,8,6,3,5,7]
[4,5,6,1,7,2,8,3]=>[1,2,8,6,4,3,5,7]
[4,5,6,7,1,2,8,3]=>[1,2,8,5,3,6,4,7]
[4,1,5,6,7,8,2,3]=>[3,1,4,7,5,8,2,6]
[4,5,1,6,7,8,2,3]=>[1,4,2,7,5,8,3,6]
[4,5,6,1,7,8,2,3]=>[1,2,7,5,3,8,4,6]
[4,5,6,7,1,8,2,3]=>[1,2,7,3,8,5,4,6]
[4,1,5,2,7,3,8,6]=>[3,1,8,6,2,4,5,7]
[4,5,1,2,7,3,8,6]=>[1,8,6,3,2,4,5,7]
[4,5,1,7,2,3,8,6]=>[1,8,5,2,6,3,4,7]
[4,5,7,1,2,3,8,6]=>[1,8,4,2,5,6,3,7]
[4,1,5,2,7,8,3,6]=>[3,1,7,5,8,2,4,6]
[4,5,1,2,7,8,3,6]=>[1,7,5,2,8,3,4,6]
[4,1,5,7,2,8,3,6]=>[3,1,7,8,5,2,4,6]
[4,5,1,7,2,8,3,6]=>[1,7,2,8,5,3,4,6]
[4,5,7,1,2,8,3,6]=>[1,7,2,8,4,5,3,6]
[4,5,1,7,8,2,3,6]=>[1,6,2,7,4,8,3,5]
[4,5,7,8,1,2,3,6]=>[1,5,2,6,7,3,8,4]
[4,1,5,2,7,3,6,8]=>[6,3,1,7,2,4,5,8]
[4,5,1,2,7,3,6,8]=>[6,1,7,3,2,4,5,8]
[4,1,5,7,2,3,6,8]=>[5,3,1,6,7,2,4,8]
[4,5,1,7,2,3,6,8]=>[5,1,6,2,7,3,4,8]
[4,1,5,2,3,7,6,8]=>[7,4,2,1,3,5,6,8]
[4,5,1,2,3,7,6,8]=>[7,3,1,4,2,5,6,8]
[4,1,2,5,3,7,6,8]=>[4,7,2,1,3,5,6,8]
[1,4,2,5,3,7,6,8]=>[4,2,7,1,3,5,6,8]
[1,4,5,2,3,7,6,8]=>[2,7,4,1,3,5,6,8]
[4,1,2,5,7,3,6,8]=>[4,6,1,7,2,3,5,8]
[1,4,2,5,7,3,6,8]=>[4,2,6,7,1,3,5,8]
[1,4,5,2,7,3,6,8]=>[2,6,3,7,1,4,5,8]
[1,4,5,7,2,3,6,8]=>[2,5,3,6,7,1,4,8]
[4,1,5,2,3,7,8,6]=>[6,3,1,8,2,4,5,7]
[4,1,2,5,3,7,8,6]=>[4,6,1,8,2,3,5,7]
[1,4,2,5,3,7,8,6]=>[4,2,6,8,1,3,5,7]
[1,4,5,2,3,7,8,6]=>[2,6,3,8,1,4,5,7]
[4,1,2,5,7,3,8,6]=>[8,4,1,6,2,3,5,7]
[1,4,2,5,7,3,8,6]=>[2,8,4,6,1,3,5,7]
[1,4,5,2,7,3,8,6]=>[2,3,8,6,1,4,5,7]
[1,4,5,7,2,3,8,6]=>[2,3,8,5,6,1,4,7]
[4,1,2,5,7,8,3,6]=>[7,4,1,5,8,2,3,6]
[1,4,2,5,7,8,3,6]=>[2,7,4,5,8,1,3,6]
[1,4,5,2,7,8,3,6]=>[2,3,7,5,8,1,4,6]
[1,4,5,7,8,2,3,6]=>[2,3,6,7,4,8,1,5]
[4,1,5,2,8,3,6,7]=>[6,3,1,7,8,2,4,5]
[4,5,1,2,8,3,6,7]=>[6,1,7,2,8,3,4,5]
[4,1,5,8,2,3,6,7]=>[5,3,1,6,7,8,2,4]
[4,5,1,8,2,3,6,7]=>[5,1,6,2,7,8,3,4]
[4,5,8,1,2,3,6,7]=>[4,1,5,2,6,7,8,3]
[4,1,5,2,3,8,6,7]=>[7,3,1,8,2,4,5,6]
[4,5,1,2,3,8,6,7]=>[7,1,8,3,2,4,5,6]
[1,4,2,5,3,8,6,7]=>[4,2,7,8,1,3,5,6]
[1,4,5,2,3,8,6,7]=>[2,7,3,8,1,4,5,6]
[4,1,2,5,8,3,6,7]=>[4,6,1,7,8,2,3,5]
[1,4,2,5,8,3,6,7]=>[4,2,6,7,8,1,3,5]
[1,4,5,2,8,3,6,7]=>[2,6,3,7,8,1,4,5]
[1,4,5,8,2,3,6,7]=>[2,5,3,6,7,8,1,4]
[4,5,1,2,3,6,8,7]=>[8,3,1,4,2,5,6,7]
[1,4,2,5,3,6,8,7]=>[4,2,8,1,3,5,6,7]
[4,1,2,5,6,3,8,7]=>[4,5,1,8,2,3,6,7]
[1,4,5,2,6,3,8,7]=>[2,5,3,8,1,4,6,7]
[1,4,5,6,2,3,8,7]=>[2,3,8,5,1,4,6,7]
[4,1,2,5,6,8,3,7]=>[4,5,1,7,8,2,3,6]
[1,4,2,5,6,8,3,7]=>[4,2,5,7,8,1,3,6]
[1,4,5,2,6,8,3,7]=>[2,5,3,7,8,1,4,6]
[1,4,5,6,2,8,3,7]=>[2,3,7,4,8,1,5,6]
[1,4,5,6,8,2,3,7]=>[2,3,6,4,7,8,1,5]
[4,1,5,2,3,6,7,8]=>[4,5,2,1,3,6,7,8]
[4,1,2,5,3,6,7,8]=>[5,2,3,1,4,6,7,8]
[1,4,2,5,3,6,7,8]=>[5,3,1,2,4,6,7,8]
[1,4,5,2,3,6,7,8]=>[4,2,5,1,3,6,7,8]
[4,1,2,5,6,3,7,8]=>[4,6,2,1,3,5,7,8]
[1,4,5,2,6,3,7,8]=>[2,6,4,1,3,5,7,8]
[1,4,5,6,2,3,7,8]=>[2,5,3,6,1,4,7,8]
[4,1,2,5,6,7,3,8]=>[4,5,1,7,2,3,6,8]
[1,4,2,5,6,7,3,8]=>[4,2,5,7,1,3,6,8]
[1,4,5,2,6,7,3,8]=>[2,5,3,7,1,4,6,8]
[1,4,5,6,2,7,3,8]=>[2,3,7,5,1,4,6,8]
[1,4,5,6,7,2,3,8]=>[2,3,6,4,7,1,5,8]
[4,1,2,5,6,7,8,3]=>[4,5,1,6,8,2,3,7]
[1,4,2,5,6,7,8,3]=>[4,2,5,6,8,1,3,7]
[1,4,5,2,6,7,8,3]=>[2,5,3,6,8,1,4,7]
[1,4,5,6,2,7,8,3]=>[2,3,6,4,8,1,5,7]
[1,4,5,6,7,2,8,3]=>[2,3,4,8,6,1,5,7]
[1,4,5,6,7,8,2,3]=>[2,3,4,7,5,8,1,6]
[4,1,6,2,7,3,8,5]=>[1,8,6,4,2,3,5,7]
[4,1,6,7,2,3,8,5]=>[1,8,5,3,6,2,4,7]
[4,6,1,7,2,3,8,5]=>[1,8,5,6,3,2,4,7]
[4,6,7,1,2,3,8,5]=>[1,8,4,5,2,6,3,7]
[4,6,1,2,7,8,3,5]=>[1,7,5,8,3,2,4,6]
[4,1,6,7,2,8,3,5]=>[1,7,3,8,5,2,4,6]
[4,6,1,7,2,8,3,5]=>[1,7,8,5,3,2,4,6]
[4,6,7,1,2,8,3,5]=>[1,7,8,4,2,5,3,6]
[4,1,6,7,8,2,3,5]=>[1,6,3,7,4,8,2,5]
[4,6,1,7,8,2,3,5]=>[1,6,7,4,2,8,3,5]
[4,6,7,1,8,2,3,5]=>[1,6,7,2,8,4,3,5]
[4,6,7,8,1,2,3,5]=>[1,5,6,2,7,3,8,4]
[4,1,6,2,7,3,5,8]=>[6,1,7,4,2,3,5,8]
[4,6,1,2,7,3,5,8]=>[6,1,7,3,4,2,5,8]
[4,1,6,7,2,3,5,8]=>[5,1,6,3,7,2,4,8]
[4,6,1,7,2,3,5,8]=>[5,1,6,7,3,2,4,8]
[4,6,7,1,2,3,5,8]=>[4,1,5,6,2,7,3,8]
[4,1,6,2,3,7,5,8]=>[7,4,1,5,2,3,6,8]
[4,6,1,2,3,7,5,8]=>[7,3,1,4,5,2,6,8]
[4,1,2,6,3,7,5,8]=>[7,5,2,1,3,4,6,8]
[1,4,2,6,3,7,5,8]=>[2,7,5,1,3,4,6,8]
[1,4,2,6,7,3,5,8]=>[2,6,4,7,1,3,5,8]
[1,4,6,2,7,3,5,8]=>[2,6,7,4,1,3,5,8]
[1,4,6,7,2,3,5,8]=>[2,5,6,3,7,1,4,8]
[4,1,6,2,3,7,8,5]=>[6,1,8,4,2,3,5,7]
[4,1,2,6,3,7,8,5]=>[6,4,1,8,2,3,5,7]
[1,4,6,2,3,7,8,5]=>[2,6,8,4,1,3,5,7]
[4,1,2,6,7,3,8,5]=>[4,1,8,6,2,3,5,7]
[1,4,6,2,7,3,8,5]=>[8,2,6,4,1,3,5,7]
[1,4,6,7,2,3,8,5]=>[8,2,5,3,6,1,4,7]
[1,4,2,6,7,8,3,5]=>[2,4,7,5,8,1,3,6]
[1,4,6,2,7,8,3,5]=>[7,2,5,3,8,1,4,6]
[1,4,6,7,2,8,3,5]=>[7,2,3,8,5,1,4,6]
[1,4,6,7,8,2,3,5]=>[6,2,3,7,4,8,1,5]
[4,1,6,2,8,3,5,7]=>[6,1,7,3,8,2,4,5]
[4,6,1,2,8,3,5,7]=>[6,1,7,8,3,2,4,5]
[4,1,6,8,2,3,5,7]=>[5,1,6,3,7,8,2,4]
[4,6,1,8,2,3,5,7]=>[5,1,6,7,2,8,3,4]
[4,6,8,1,2,3,5,7]=>[4,1,5,6,2,7,8,3]
[4,1,6,2,3,8,5,7]=>[7,1,8,4,2,3,5,6]
[4,6,1,2,3,8,5,7]=>[7,1,8,3,4,2,5,6]
[4,1,2,6,3,8,5,7]=>[7,4,1,8,2,3,5,6]
[1,4,2,6,3,8,5,7]=>[2,7,4,8,1,3,5,6]
[1,4,6,2,3,8,5,7]=>[2,7,8,4,1,3,5,6]
[1,4,2,6,8,3,5,7]=>[2,6,4,7,8,1,3,5]
[1,4,6,2,8,3,5,7]=>[2,6,7,3,8,1,4,5]
[1,4,6,8,2,3,5,7]=>[2,5,6,3,7,8,1,4]
[4,1,6,2,3,5,8,7]=>[8,4,1,5,2,3,6,7]
[4,6,1,2,3,5,8,7]=>[8,3,1,4,5,2,6,7]
[4,1,2,6,3,5,8,7]=>[8,5,2,1,3,4,6,7]
[1,4,2,6,3,5,8,7]=>[2,8,5,1,3,4,6,7]
[1,4,6,2,3,5,8,7]=>[2,8,4,5,1,3,6,7]
[4,1,2,3,6,5,8,7]=>[5,8,2,1,3,4,6,7]
[1,4,2,3,6,5,8,7]=>[5,2,8,1,3,4,6,7]
[1,2,4,6,3,5,8,7]=>[8,3,5,1,2,4,6,7]
[4,1,2,3,6,8,5,7]=>[5,7,1,8,2,3,4,6]
[1,2,4,3,6,8,5,7]=>[3,5,7,8,1,2,4,6]
[1,2,4,6,3,8,5,7]=>[7,3,4,8,1,2,5,6]
[1,2,4,6,8,3,5,7]=>[6,3,4,7,8,1,2,5]
[4,1,6,2,3,5,7,8]=>[4,5,1,6,2,3,7,8]
[4,6,1,2,3,5,7,8]=>[3,4,1,5,6,2,7,8]
[4,1,2,6,3,5,7,8]=>[5,6,2,1,3,4,7,8]
[1,4,2,6,3,5,7,8]=>[5,2,6,1,3,4,7,8]
[1,4,6,2,3,5,7,8]=>[4,2,5,6,1,3,7,8]
[4,1,2,3,6,5,7,8]=>[6,2,3,1,4,5,7,8]
[1,4,2,3,6,5,7,8]=>[6,3,1,2,4,5,7,8]
[1,2,4,6,3,5,7,8]=>[3,5,6,1,2,4,7,8]
[4,1,2,3,6,7,5,8]=>[5,7,2,1,3,4,6,8]
[1,4,2,3,6,7,5,8]=>[5,2,7,1,3,4,6,8]
[1,2,4,6,3,7,5,8]=>[7,3,5,1,2,4,6,8]
[1,2,4,6,7,3,5,8]=>[6,3,4,7,1,2,5,8]
[4,1,2,3,6,7,8,5]=>[5,6,1,8,2,3,4,7]
[1,4,2,3,6,7,8,5]=>[5,2,6,8,1,3,4,7]
[1,2,4,6,3,7,8,5]=>[6,3,4,8,1,2,5,7]
[1,2,4,6,7,3,8,5]=>[4,8,3,6,1,2,5,7]
[1,2,4,6,7,8,3,5]=>[4,7,3,5,8,1,2,6]
[4,1,7,2,8,3,5,6]=>[6,1,7,8,4,2,3,5]
[4,7,1,2,8,3,5,6]=>[6,1,7,8,3,4,2,5]
[4,1,7,8,2,3,5,6]=>[5,1,6,7,3,8,2,4]
[4,7,1,8,2,3,5,6]=>[5,1,6,7,8,3,2,4]
[4,7,8,1,2,3,5,6]=>[4,1,5,6,7,2,8,3]
[4,1,7,2,3,8,5,6]=>[7,1,8,4,5,2,3,6]
[4,7,1,2,3,8,5,6]=>[7,1,8,3,4,5,2,6]
[1,4,2,7,3,8,5,6]=>[2,7,8,5,1,3,4,6]
[1,4,7,2,3,8,5,6]=>[2,7,8,4,5,1,3,6]
[4,1,2,7,8,3,5,6]=>[6,1,7,4,8,2,3,5]
[1,4,2,7,8,3,5,6]=>[2,6,7,4,8,1,3,5]
[1,4,7,2,8,3,5,6]=>[2,6,7,8,4,1,3,5]
[1,4,7,8,2,3,5,6]=>[2,5,6,7,3,8,1,4]
[4,1,7,2,3,5,8,6]=>[8,4,1,5,6,2,3,7]
[4,7,1,2,3,5,8,6]=>[8,3,1,4,5,6,2,7]
[4,1,2,7,3,5,8,6]=>[8,5,1,6,2,3,4,7]
[1,4,2,7,3,5,8,6]=>[2,8,5,6,1,3,4,7]
[1,4,7,2,3,5,8,6]=>[2,8,4,5,6,1,3,7]
[4,1,2,3,7,5,8,6]=>[8,6,2,1,3,4,5,7]
[1,4,2,3,7,5,8,6]=>[2,8,6,1,3,4,5,7]
[1,2,4,3,7,5,8,6]=>[8,3,6,1,2,4,5,7]
[1,2,4,7,3,5,8,6]=>[8,3,5,6,1,2,4,7]
[4,1,2,3,7,8,5,6]=>[7,5,1,8,2,3,4,6]
[1,4,2,3,7,8,5,6]=>[2,7,5,8,1,3,4,6]
[1,2,4,3,7,8,5,6]=>[7,3,5,8,1,2,4,6]
[1,2,4,7,3,8,5,6]=>[7,8,3,5,1,2,4,6]
[1,2,4,7,8,3,5,6]=>[6,7,3,4,8,1,2,5]
[4,1,7,2,3,5,6,8]=>[4,5,1,6,7,2,3,8]
[4,7,1,2,3,5,6,8]=>[3,4,1,5,6,7,2,8]
[4,1,2,7,3,5,6,8]=>[5,6,1,7,2,3,4,8]
[1,4,2,7,3,5,6,8]=>[5,2,6,7,1,3,4,8]
[1,4,7,2,3,5,6,8]=>[4,2,5,6,7,1,3,8]
[4,1,2,3,7,5,6,8]=>[6,7,2,1,3,4,5,8]
[1,4,2,3,7,5,6,8]=>[6,2,7,1,3,4,5,8]
[1,2,4,3,7,5,6,8]=>[3,6,7,1,2,4,5,8]
[1,2,4,7,3,5,6,8]=>[3,5,6,7,1,2,4,8]
[4,1,2,3,5,7,6,8]=>[7,2,3,1,4,5,6,8]
[1,4,2,3,5,7,6,8]=>[7,3,1,2,4,5,6,8]
[1,2,4,5,7,3,6,8]=>[3,4,6,7,1,2,5,8]
[4,1,2,3,5,7,8,6]=>[6,8,2,1,3,4,5,7]
[1,4,2,3,5,7,8,6]=>[6,2,8,1,3,4,5,7]
[1,2,4,5,7,3,8,6]=>[8,3,4,6,1,2,5,7]
[1,2,4,5,7,8,3,6]=>[7,3,4,5,8,1,2,6]
[4,1,8,2,3,5,6,7]=>[4,5,1,6,7,8,2,3]
[4,8,1,2,3,5,6,7]=>[3,4,1,5,6,7,8,2]
[4,1,2,8,3,5,6,7]=>[5,6,1,7,8,2,3,4]
[1,4,2,8,3,5,6,7]=>[5,2,6,7,8,1,3,4]
[1,4,8,2,3,5,6,7]=>[4,2,5,6,7,8,1,3]
[4,1,2,3,8,5,6,7]=>[6,7,1,8,2,3,4,5]
[1,4,2,3,8,5,6,7]=>[6,2,7,8,1,3,4,5]
[1,2,4,3,8,5,6,7]=>[3,6,7,8,1,2,4,5]
[1,2,4,8,3,5,6,7]=>[3,5,6,7,8,1,2,4]
[4,1,2,3,5,8,6,7]=>[7,8,2,1,3,4,5,6]
[1,4,2,3,5,8,6,7]=>[7,2,8,1,3,4,5,6]
[1,2,4,3,5,8,6,7]=>[3,7,8,1,2,4,5,6]
[1,2,4,5,3,8,6,7]=>[3,4,7,8,1,2,5,6]
[1,2,4,5,8,3,6,7]=>[3,4,6,7,8,1,2,5]
[4,1,2,3,5,6,8,7]=>[8,2,3,1,4,5,6,7]
[1,4,2,3,5,6,8,7]=>[8,3,1,2,4,5,6,7]
[1,2,4,5,6,8,3,7]=>[3,4,5,7,8,1,2,6]
[1,4,2,3,5,6,7,8]=>[3,4,1,2,5,6,7,8]
[5,1,6,2,7,3,8,4]=>[8,6,4,2,1,3,5,7]
[5,6,1,2,7,3,8,4]=>[8,6,3,1,4,2,5,7]
[5,1,6,7,2,3,8,4]=>[8,5,3,1,6,2,4,7]
[5,6,1,7,2,3,8,4]=>[8,5,1,6,3,2,4,7]
[5,6,7,1,2,3,8,4]=>[8,4,1,5,2,6,3,7]
[5,1,6,2,7,8,3,4]=>[7,5,3,1,8,2,4,6]
[5,6,1,2,7,8,3,4]=>[7,5,1,8,3,2,4,6]
[5,1,6,7,2,8,3,4]=>[7,3,1,8,5,2,4,6]
[5,6,1,7,2,8,3,4]=>[7,1,8,5,3,2,4,6]
[5,6,7,1,2,8,3,4]=>[7,1,8,4,2,5,3,6]
[5,1,6,7,8,2,3,4]=>[6,3,1,7,4,8,2,5]
[5,6,1,7,8,2,3,4]=>[6,1,7,4,2,8,3,5]
[5,6,7,1,8,2,3,4]=>[6,1,7,2,8,4,3,5]
[5,1,6,2,7,3,4,8]=>[6,7,4,2,1,3,5,8]
[5,6,1,2,7,3,4,8]=>[6,7,3,1,4,2,5,8]
[5,6,1,7,2,3,4,8]=>[5,6,1,7,3,2,4,8]
[5,1,6,2,3,7,4,8]=>[7,4,5,2,1,3,6,8]
[5,1,2,6,3,7,4,8]=>[7,5,2,3,1,4,6,8]
[1,5,2,6,3,7,4,8]=>[7,5,3,1,2,4,6,8]
[5,1,2,6,7,3,4,8]=>[6,4,7,2,1,3,5,8]
[1,5,2,6,7,3,4,8]=>[6,4,2,7,1,3,5,8]
[1,5,6,2,7,3,4,8]=>[6,2,7,4,1,3,5,8]
[1,5,6,7,2,3,4,8]=>[5,2,6,3,7,1,4,8]
[5,1,6,2,3,7,8,4]=>[6,8,4,2,1,3,5,7]
[5,6,1,2,3,7,8,4]=>[6,8,3,1,4,2,5,7]
[5,1,2,6,3,7,8,4]=>[6,4,8,2,1,3,5,7]
[1,5,2,6,3,7,8,4]=>[6,4,2,8,1,3,5,7]
[1,5,6,2,3,7,8,4]=>[6,2,8,4,1,3,5,7]
[5,1,2,6,7,3,8,4]=>[4,8,6,2,1,3,5,7]
[1,5,6,7,2,3,8,4]=>[2,8,5,3,6,1,4,7]
[5,1,2,6,7,8,3,4]=>[4,7,5,1,8,2,3,6]
[1,5,2,6,7,8,3,4]=>[4,2,7,5,8,1,3,6]
[1,5,6,2,7,8,3,4]=>[2,7,5,3,8,1,4,6]
[1,5,6,7,2,8,3,4]=>[2,7,3,8,5,1,4,6]
[1,5,6,7,8,2,3,4]=>[2,6,3,7,4,8,1,5]
[5,1,6,2,8,3,4,7]=>[6,7,3,1,8,2,4,5]
[5,6,1,2,8,3,4,7]=>[6,7,1,8,3,2,4,5]
[5,6,1,8,2,3,4,7]=>[5,6,1,7,2,8,3,4]
[5,6,8,1,2,3,4,7]=>[4,5,1,6,2,7,8,3]
[5,1,6,2,3,8,4,7]=>[7,8,4,2,1,3,5,6]
[5,6,1,2,3,8,4,7]=>[7,8,3,1,4,2,5,6]
[5,1,2,6,3,8,4,7]=>[7,4,8,2,1,3,5,6]
[1,5,2,6,3,8,4,7]=>[7,4,2,8,1,3,5,6]
[1,5,6,2,3,8,4,7]=>[7,2,8,4,1,3,5,6]
[5,1,2,6,8,3,4,7]=>[6,4,7,1,8,2,3,5]
[1,5,2,6,8,3,4,7]=>[6,4,2,7,8,1,3,5]
[1,5,6,2,8,3,4,7]=>[6,2,7,3,8,1,4,5]
[1,5,6,8,2,3,4,7]=>[5,2,6,3,7,8,1,4]
[5,1,6,2,3,4,8,7]=>[8,4,5,2,1,3,6,7]
[5,6,1,2,3,4,8,7]=>[8,3,4,1,5,2,6,7]
[5,1,2,6,3,4,8,7]=>[8,5,2,3,1,4,6,7]
[1,5,2,6,3,4,8,7]=>[8,5,3,1,2,4,6,7]
[1,5,6,2,3,4,8,7]=>[8,4,2,5,1,3,6,7]
[1,5,2,3,6,4,8,7]=>[5,8,3,1,2,4,6,7]
[1,2,5,3,6,4,8,7]=>[5,3,8,1,2,4,6,7]
[1,2,5,6,3,4,8,7]=>[3,8,5,1,2,4,6,7]
[5,1,2,3,6,8,4,7]=>[5,7,8,2,1,3,4,6]
[1,5,2,3,6,8,4,7]=>[5,7,2,8,1,3,4,6]
[1,2,5,6,3,8,4,7]=>[3,7,4,8,1,2,5,6]
[1,2,5,6,8,3,4,7]=>[3,6,4,7,8,1,2,5]
[5,1,6,2,3,4,7,8]=>[4,5,6,2,1,3,7,8]
[5,1,2,6,3,4,7,8]=>[5,6,2,3,1,4,7,8]
[1,5,2,6,3,4,7,8]=>[5,6,3,1,2,4,7,8]
[1,5,6,2,3,4,7,8]=>[4,5,2,6,1,3,7,8]
[5,1,2,3,6,4,7,8]=>[6,2,3,4,1,5,7,8]
[1,5,2,3,6,4,7,8]=>[6,3,4,1,2,5,7,8]
[1,2,5,3,6,4,7,8]=>[6,4,1,2,3,5,7,8]
[1,2,5,6,3,4,7,8]=>[5,3,6,1,2,4,7,8]
[5,1,2,3,6,7,4,8]=>[5,7,2,3,1,4,6,8]
[1,5,2,3,6,7,4,8]=>[5,7,3,1,2,4,6,8]
[1,2,5,3,6,7,4,8]=>[5,3,7,1,2,4,6,8]
[1,2,5,6,3,7,4,8]=>[3,7,5,1,2,4,6,8]
[5,1,2,3,6,7,8,4]=>[5,6,8,2,1,3,4,7]
[1,5,2,3,6,7,8,4]=>[5,6,2,8,1,3,4,7]
[1,2,5,3,6,7,8,4]=>[5,3,6,8,1,2,4,7]
[1,2,5,6,3,7,8,4]=>[3,6,4,8,1,2,5,7]
[1,2,5,6,7,3,8,4]=>[3,4,8,6,1,2,5,7]
[1,2,5,6,7,8,3,4]=>[3,4,7,5,8,1,2,6]
[5,1,7,2,8,3,4,6]=>[6,7,1,8,4,2,3,5]
[5,7,1,2,8,3,4,6]=>[6,7,1,8,3,4,2,5]
[5,1,7,8,2,3,4,6]=>[5,6,1,7,3,8,2,4]
[5,7,1,8,2,3,4,6]=>[5,6,1,7,8,3,2,4]
[5,7,8,1,2,3,4,6]=>[4,5,1,6,7,2,8,3]
[5,1,7,2,3,8,4,6]=>[7,8,4,1,5,2,3,6]
[5,7,1,2,3,8,4,6]=>[7,8,3,1,4,5,2,6]
[5,1,2,7,3,8,4,6]=>[7,8,5,2,1,3,4,6]
[1,5,2,7,3,8,4,6]=>[7,2,8,5,1,3,4,6]
[1,5,7,2,3,8,4,6]=>[7,2,8,4,5,1,3,6]
[5,1,2,7,8,3,4,6]=>[6,7,4,1,8,2,3,5]
[1,5,2,7,8,3,4,6]=>[6,2,7,4,8,1,3,5]
[1,5,7,2,8,3,4,6]=>[6,2,7,8,4,1,3,5]
[1,5,7,8,2,3,4,6]=>[5,2,6,7,3,8,1,4]
[5,1,7,2,3,4,8,6]=>[8,4,5,1,6,2,3,7]
[5,7,1,2,3,4,8,6]=>[8,3,4,1,5,6,2,7]
[5,1,2,7,3,4,8,6]=>[8,5,6,2,1,3,4,7]
[1,5,2,7,3,4,8,6]=>[8,5,2,6,1,3,4,7]
[1,5,7,2,3,4,8,6]=>[8,4,2,5,6,1,3,7]
[5,1,2,3,7,4,8,6]=>[8,6,2,3,1,4,5,7]
[1,5,2,3,7,4,8,6]=>[8,6,3,1,2,4,5,7]
[1,2,5,3,7,4,8,6]=>[3,8,6,1,2,4,5,7]
[1,2,5,7,3,4,8,6]=>[3,8,5,6,1,2,4,7]
[5,1,2,3,7,8,4,6]=>[7,5,8,2,1,3,4,6]
[1,5,2,3,7,8,4,6]=>[7,5,2,8,1,3,4,6]
[1,2,5,3,7,8,4,6]=>[3,7,5,8,1,2,4,6]
[1,2,5,7,3,8,4,6]=>[3,7,8,5,1,2,4,6]
[1,2,5,7,8,3,4,6]=>[3,6,7,4,8,1,2,5]
[5,1,7,2,3,4,6,8]=>[4,5,6,1,7,2,3,8]
[5,7,1,2,3,4,6,8]=>[3,4,5,1,6,7,2,8]
[5,1,2,7,3,4,6,8]=>[5,6,7,2,1,3,4,8]
[1,5,2,7,3,4,6,8]=>[5,6,2,7,1,3,4,8]
[1,5,7,2,3,4,6,8]=>[4,5,2,6,7,1,3,8]
[5,1,2,3,7,4,6,8]=>[6,7,2,3,1,4,5,8]
[1,5,2,3,7,4,6,8]=>[6,7,3,1,2,4,5,8]
[1,2,5,3,7,4,6,8]=>[6,3,7,1,2,4,5,8]
[1,2,5,7,3,4,6,8]=>[5,3,6,7,1,2,4,8]
[1,5,2,3,4,7,6,8]=>[7,3,4,1,2,5,6,8]
[1,2,5,3,4,7,6,8]=>[7,4,1,2,3,5,6,8]
[1,2,3,5,7,4,6,8]=>[4,6,7,1,2,3,5,8]
[5,1,2,3,4,7,8,6]=>[6,8,2,3,1,4,5,7]
[1,5,2,3,4,7,8,6]=>[6,8,3,1,2,4,5,7]
[1,2,5,3,4,7,8,6]=>[6,3,8,1,2,4,5,7]
[1,2,3,5,7,4,8,6]=>[8,4,6,1,2,3,5,7]
[1,2,3,5,7,8,4,6]=>[7,4,5,8,1,2,3,6]
[5,1,8,2,3,4,6,7]=>[4,5,6,1,7,8,2,3]
[5,8,1,2,3,4,6,7]=>[3,4,5,1,6,7,8,2]
[5,1,2,8,3,4,6,7]=>[5,6,7,1,8,2,3,4]
[1,5,2,8,3,4,6,7]=>[5,6,2,7,8,1,3,4]
[1,5,8,2,3,4,6,7]=>[4,5,2,6,7,8,1,3]
[5,1,2,3,8,4,6,7]=>[6,7,8,2,1,3,4,5]
[1,5,2,3,8,4,6,7]=>[6,7,2,8,1,3,4,5]
[1,2,5,3,8,4,6,7]=>[6,3,7,8,1,2,4,5]
[1,2,5,8,3,4,6,7]=>[5,3,6,7,8,1,2,4]
[5,1,2,3,4,8,6,7]=>[7,8,2,3,1,4,5,6]
[1,5,2,3,4,8,6,7]=>[7,8,3,1,2,4,5,6]
[1,2,5,3,4,8,6,7]=>[7,3,8,1,2,4,5,6]
[1,2,3,5,4,8,6,7]=>[4,7,8,1,2,3,5,6]
[1,2,3,5,8,4,6,7]=>[4,6,7,8,1,2,3,5]
[5,1,2,3,4,6,8,7]=>[8,2,3,4,1,5,6,7]
[1,5,2,3,4,6,8,7]=>[8,3,4,1,2,5,6,7]
[1,2,5,3,4,6,8,7]=>[8,4,1,2,3,5,6,7]
[1,2,3,5,6,8,4,7]=>[4,5,7,8,1,2,3,6]
[1,5,2,3,4,6,7,8]=>[3,4,5,1,2,6,7,8]
[1,2,5,3,4,6,7,8]=>[4,5,1,2,3,6,7,8]
[6,1,7,2,8,3,4,5]=>[6,7,8,4,2,1,3,5]
[6,7,1,2,8,3,4,5]=>[6,7,8,3,1,4,2,5]
[6,1,7,8,2,3,4,5]=>[5,6,7,3,1,8,2,4]
[6,7,1,8,2,3,4,5]=>[5,6,7,1,8,3,2,4]
[6,1,7,2,3,8,4,5]=>[7,8,4,5,2,1,3,6]
[6,7,1,2,3,8,4,5]=>[7,8,3,4,1,5,2,6]
[6,1,2,7,3,8,4,5]=>[7,8,5,2,3,1,4,6]
[1,6,2,7,3,8,4,5]=>[7,8,5,3,1,2,4,6]
[1,6,7,2,3,8,4,5]=>[7,8,4,2,5,1,3,6]
[6,1,2,7,8,3,4,5]=>[6,7,4,8,2,1,3,5]
[1,6,2,7,8,3,4,5]=>[6,7,4,2,8,1,3,5]
[1,6,7,2,8,3,4,5]=>[6,7,2,8,4,1,3,5]
[1,6,7,8,2,3,4,5]=>[5,6,2,7,3,8,1,4]
[6,1,7,2,3,4,8,5]=>[8,4,5,6,2,1,3,7]
[6,7,1,2,3,4,8,5]=>[8,3,4,5,1,6,2,7]
[6,1,2,7,3,4,8,5]=>[8,5,6,2,3,1,4,7]
[1,6,2,7,3,4,8,5]=>[8,5,6,3,1,2,4,7]
[1,6,7,2,3,4,8,5]=>[8,4,5,2,6,1,3,7]
[6,1,2,3,7,4,8,5]=>[8,6,2,3,4,1,5,7]
[1,6,2,3,7,4,8,5]=>[8,6,3,4,1,2,5,7]
[1,2,6,3,7,4,8,5]=>[8,6,4,1,2,3,5,7]
[1,2,6,7,3,4,8,5]=>[8,5,3,6,1,2,4,7]
[6,1,2,3,7,8,4,5]=>[7,5,8,2,3,1,4,6]
[1,6,2,3,7,8,4,5]=>[7,5,8,3,1,2,4,6]
[1,2,6,3,7,8,4,5]=>[7,5,3,8,1,2,4,6]
[1,2,6,7,3,8,4,5]=>[7,3,8,5,1,2,4,6]
[1,2,6,7,8,3,4,5]=>[6,3,7,4,8,1,2,5]
[6,1,7,2,3,4,5,8]=>[4,5,6,7,2,1,3,8]
[6,1,2,7,3,4,5,8]=>[5,6,7,2,3,1,4,8]
[1,6,2,7,3,4,5,8]=>[5,6,7,3,1,2,4,8]
[1,6,7,2,3,4,5,8]=>[4,5,6,2,7,1,3,8]
[6,1,2,3,7,4,5,8]=>[6,7,2,3,4,1,5,8]
[1,6,2,3,7,4,5,8]=>[6,7,3,4,1,2,5,8]
[1,2,6,3,7,4,5,8]=>[6,7,4,1,2,3,5,8]
[1,2,6,7,3,4,5,8]=>[5,6,3,7,1,2,4,8]
[6,1,2,3,4,7,5,8]=>[7,2,3,4,5,1,6,8]
[1,6,2,3,4,7,5,8]=>[7,3,4,5,1,2,6,8]
[1,2,6,3,4,7,5,8]=>[7,4,5,1,2,3,6,8]
[1,2,3,6,4,7,5,8]=>[7,5,1,2,3,4,6,8]
[1,2,3,6,7,4,5,8]=>[6,4,7,1,2,3,5,8]
[6,1,2,3,4,7,8,5]=>[6,8,2,3,4,1,5,7]
[1,6,2,3,4,7,8,5]=>[6,8,3,4,1,2,5,7]
[1,2,6,3,4,7,8,5]=>[6,8,4,1,2,3,5,7]
[1,2,3,6,4,7,8,5]=>[6,4,8,1,2,3,5,7]
[1,2,3,6,7,4,8,5]=>[4,8,6,1,2,3,5,7]
[1,2,3,6,7,8,4,5]=>[4,7,5,8,1,2,3,6]
[6,1,8,2,3,4,5,7]=>[4,5,6,7,1,8,2,3]
[6,8,1,2,3,4,5,7]=>[3,4,5,6,1,7,8,2]
[6,1,2,8,3,4,5,7]=>[5,6,7,8,2,1,3,4]
[1,6,2,8,3,4,5,7]=>[5,6,7,2,8,1,3,4]
[1,6,8,2,3,4,5,7]=>[4,5,6,2,7,8,1,3]
[6,1,2,3,8,4,5,7]=>[6,7,8,2,3,1,4,5]
[1,6,2,3,8,4,5,7]=>[6,7,8,3,1,2,4,5]
[1,2,6,3,8,4,5,7]=>[6,7,3,8,1,2,4,5]
[1,2,6,8,3,4,5,7]=>[5,6,3,7,8,1,2,4]
[6,1,2,3,4,8,5,7]=>[7,8,2,3,4,1,5,6]
[1,6,2,3,4,8,5,7]=>[7,8,3,4,1,2,5,6]
[1,2,6,3,4,8,5,7]=>[7,8,4,1,2,3,5,6]
[1,2,3,6,4,8,5,7]=>[7,4,8,1,2,3,5,6]
[1,2,3,6,8,4,5,7]=>[6,4,7,8,1,2,3,5]
[6,1,2,3,4,5,8,7]=>[8,2,3,4,5,1,6,7]
[1,6,2,3,4,5,8,7]=>[8,3,4,5,1,2,6,7]
[1,2,6,3,4,5,8,7]=>[8,4,5,1,2,3,6,7]
[1,2,3,6,4,5,8,7]=>[8,5,1,2,3,4,6,7]
[1,2,3,4,6,8,5,7]=>[5,7,8,1,2,3,4,6]
[1,6,2,3,4,5,7,8]=>[3,4,5,6,1,2,7,8]
[1,2,6,3,4,5,7,8]=>[4,5,6,1,2,3,7,8]
[1,2,3,6,4,5,7,8]=>[5,6,1,2,3,4,7,8]
[7,1,8,2,3,4,5,6]=>[4,5,6,7,8,2,1,3]
[7,1,2,8,3,4,5,6]=>[5,6,7,8,2,3,1,4]
[1,7,2,8,3,4,5,6]=>[5,6,7,8,3,1,2,4]
[1,7,8,2,3,4,5,6]=>[4,5,6,7,2,8,1,3]
[7,1,2,3,8,4,5,6]=>[6,7,8,2,3,4,1,5]
[1,7,2,3,8,4,5,6]=>[6,7,8,3,4,1,2,5]
[1,2,7,3,8,4,5,6]=>[6,7,8,4,1,2,3,5]
[1,2,7,8,3,4,5,6]=>[5,6,7,3,8,1,2,4]
[7,1,2,3,4,8,5,6]=>[7,8,2,3,4,5,1,6]
[1,7,2,3,4,8,5,6]=>[7,8,3,4,5,1,2,6]
[1,2,7,3,4,8,5,6]=>[7,8,4,5,1,2,3,6]
[1,2,3,7,4,8,5,6]=>[7,8,5,1,2,3,4,6]
[1,2,3,7,8,4,5,6]=>[6,7,4,8,1,2,3,5]
[7,1,2,3,4,5,8,6]=>[8,2,3,4,5,6,1,7]
[1,7,2,3,4,5,8,6]=>[8,3,4,5,6,1,2,7]
[1,2,7,3,4,5,8,6]=>[8,4,5,6,1,2,3,7]
[1,2,3,7,4,5,8,6]=>[8,5,6,1,2,3,4,7]
[1,2,3,4,7,5,8,6]=>[8,6,1,2,3,4,5,7]
[1,2,3,4,7,8,5,6]=>[7,5,8,1,2,3,4,6]
[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,1,2,8]
[1,2,7,3,4,5,6,8]=>[4,5,6,7,1,2,3,8]
[1,2,3,7,4,5,6,8]=>[5,6,7,1,2,3,4,8]
[1,2,3,4,7,5,6,8]=>[6,7,1,2,3,4,5,8]
[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,2]
[1,2,8,3,4,5,6,7]=>[4,5,6,7,8,1,2,3]
[1,2,3,8,4,5,6,7]=>[5,6,7,8,1,2,3,4]
[1,2,3,4,8,5,6,7]=>[6,7,8,1,2,3,4,5]
[1,2,3,4,5,8,6,7]=>[7,8,1,2,3,4,5,6]
[5,3,2,6,1,4,8,7]=>[2,8,3,1,5,4,6,7]
[7,3,2,5,4,8,1,6]=>[2,5,3,4,7,1,8,6]
[8,4,5,2,3,7,6,1]=>[2,8,4,3,5,7,6,1]
[7,4,5,2,3,8,1,6]=>[4,2,5,3,7,1,8,6]
[6,4,5,2,3,1,8,7]=>[4,2,5,3,1,8,6,7]
[5,4,6,2,1,3,8,7]=>[4,2,1,8,5,3,6,7]
[3,6,1,5,4,2,8,7]=>[5,1,4,8,3,2,6,7]
[4,6,5,1,3,2,8,7]=>[1,5,8,4,3,2,6,7]
[5,6,4,3,1,2,8,7]=>[1,8,5,4,3,2,6,7]
[7,5,4,3,2,8,1,6]=>[5,4,3,2,7,1,8,6]
[8,6,4,3,7,2,5,1]=>[4,3,6,2,8,7,5,1]
[7,6,4,3,8,2,1,5]=>[4,3,7,6,2,1,8,5]
[6,7,4,3,8,1,2,5]=>[6,4,3,1,7,2,8,5]
[5,7,4,3,1,8,2,6]=>[1,7,4,3,8,5,2,6]
[4,7,5,1,3,8,2,6]=>[1,5,7,3,8,4,2,6]
[3,7,1,5,4,8,2,6]=>[5,1,4,7,8,3,2,6]
[2,1,7,5,4,8,3,6]=>[5,4,7,1,3,8,2,6]
[3,8,1,5,4,7,6,2]=>[4,8,1,5,7,3,6,2]
[4,8,5,1,3,7,6,2]=>[8,1,5,3,7,4,6,2]
[5,8,4,3,1,7,6,2]=>[1,4,3,8,7,5,6,2]
[6,8,4,3,7,1,5,2]=>[4,3,1,8,6,7,5,2]
[7,8,4,3,6,5,1,2]=>[4,3,7,1,8,6,5,2]
[6,8,5,7,3,1,4,2]=>[1,8,6,5,3,7,4,2]
[5,8,6,7,1,3,4,2]=>[1,6,8,5,3,7,4,2]
[4,8,6,1,7,3,5,2]=>[6,8,1,7,4,3,5,2]
[3,8,1,6,7,4,5,2]=>[6,4,8,1,7,3,5,2]
[2,1,8,6,7,4,5,3]=>[6,4,8,7,1,5,2,3]
[2,1,7,6,8,4,3,5]=>[7,6,4,1,3,8,2,5]
[3,7,1,6,8,4,2,5]=>[7,6,1,4,8,3,2,5]
[4,7,6,1,8,3,2,5]=>[7,1,6,8,4,3,2,5]
[5,7,6,8,1,3,2,4]=>[1,7,5,6,3,2,8,4]
[5,4,7,2,1,8,3,6]=>[4,2,1,7,8,5,3,6]
[6,4,7,2,8,1,3,5]=>[4,2,6,1,7,3,8,5]
[7,4,6,2,8,3,1,5]=>[2,7,4,6,3,1,8,5]
[8,4,6,2,7,3,5,1]=>[2,6,8,4,3,7,5,1]
[8,3,2,6,7,4,5,1]=>[6,2,4,8,3,7,5,1]
[7,3,2,6,8,4,1,5]=>[7,2,6,3,4,1,8,5]
[6,3,2,7,8,1,4,5]=>[2,6,7,3,1,4,8,5]
[5,3,2,7,1,8,4,6]=>[2,7,1,8,3,5,4,6]
[4,3,2,1,7,8,5,6]=>[2,1,7,3,5,8,4,6]
[3,4,1,2,8,7,6,5]=>[8,1,2,7,6,3,4,5]
[5,3,2,8,1,7,6,4]=>[8,2,1,7,3,5,6,4]
[6,3,2,8,7,1,5,4]=>[8,2,6,1,7,3,5,4]
[7,3,2,8,6,5,1,4]=>[7,8,2,6,3,1,5,4]
[8,4,7,2,6,5,3,1]=>[8,2,7,4,6,5,3,1]
[7,4,8,2,6,5,1,3]=>[2,7,8,4,1,6,5,3]
[6,4,8,2,7,1,5,3]=>[2,8,4,1,6,7,5,3]
[5,4,8,2,1,7,6,3]=>[2,1,8,4,7,5,6,3]
[4,5,8,1,2,7,6,3]=>[1,2,8,7,4,5,6,3]
[3,5,1,8,2,7,6,4]=>[2,8,1,7,5,6,3,4]
[2,1,5,8,3,7,6,4]=>[8,3,7,1,5,6,2,4]
[2,1,6,8,7,3,5,4]=>[3,8,6,7,1,5,2,4]
[3,6,1,8,7,2,5,4]=>[8,6,1,2,7,5,3,4]
[4,6,8,1,7,2,5,3]=>[8,1,6,2,7,4,5,3]
[5,6,8,7,1,2,4,3]=>[1,8,5,2,6,7,4,3]
[6,5,8,7,2,1,4,3]=>[5,2,1,8,6,7,4,3]
[7,5,8,6,2,4,1,3]=>[5,2,7,1,8,6,4,3]
[8,5,7,6,2,4,3,1]=>[2,8,5,7,6,4,3,1]
[5,7,8,6,1,4,2,3]=>[1,7,8,5,2,6,4,3]
[4,7,8,1,6,5,2,3]=>[7,8,1,6,4,2,5,3]
[3,7,1,8,6,5,2,4]=>[7,8,6,1,5,3,2,4]
[2,1,7,8,6,5,3,4]=>[7,3,8,6,1,5,2,4]
[3,8,1,7,6,5,4,2]=>[8,7,6,1,5,3,4,2]
[4,8,7,1,6,5,3,2]=>[8,7,1,6,4,5,3,2]
[5,8,7,6,1,4,3,2]=>[8,1,7,5,6,4,3,2]
[6,8,7,5,4,1,3,2]=>[1,8,6,7,5,4,3,2]
[3,2,5,1,4,6,7,8]=>[2,1,4,5,3,6,7,8]
[4,2,5,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]
[5,2,4,1,3,6,7,8]=>[2,4,5,3,1,6,7,8]
[3,2,6,1,4,5,7,8]=>[2,1,4,5,6,3,7,8]
[4,2,6,1,3,5,7,8]=>[2,4,1,5,6,3,7,8]
[5,3,6,1,2,4,7,8]=>[4,2,5,1,6,3,7,8]
[6,2,4,1,3,5,7,8]=>[2,4,5,3,6,1,7,8]
[6,3,5,1,2,4,7,8]=>[4,2,5,6,3,1,7,8]
[5,2,7,1,3,4,6,8]=>[2,4,5,1,6,7,3,8]
[5,3,7,1,2,4,6,8]=>[4,2,5,1,6,7,3,8]
[5,4,7,1,2,3,6,8]=>[4,5,2,1,6,7,3,8]
[6,2,7,1,3,4,5,8]=>[2,4,5,6,1,7,3,8]
[6,3,7,1,2,4,5,8]=>[4,2,5,6,1,7,3,8]
[6,4,7,1,2,3,5,8]=>[4,5,2,6,1,7,3,8]
[7,3,5,1,2,4,6,8]=>[4,2,5,6,3,7,1,8]
[7,3,6,1,2,4,5,8]=>[4,2,5,6,7,3,1,8]
[7,4,6,1,2,3,5,8]=>[4,5,2,6,7,3,1,8]
[3,2,8,1,4,5,6,7]=>[2,1,4,5,6,7,8,3]
[4,2,8,1,3,5,6,7]=>[2,4,1,5,6,7,8,3]
[5,2,8,1,3,4,6,7]=>[2,4,5,1,6,7,8,3]
[5,4,8,1,2,3,6,7]=>[4,5,2,1,6,7,8,3]
[6,2,8,1,3,4,5,7]=>[2,4,5,6,1,7,8,3]
[6,3,8,1,2,4,5,7]=>[4,2,5,6,1,7,8,3]
[6,4,8,1,2,3,5,7]=>[4,5,2,6,1,7,8,3]
[6,5,8,1,2,3,4,7]=>[4,5,6,2,1,7,8,3]
[7,2,8,1,3,4,5,6]=>[2,4,5,6,7,1,8,3]
[7,3,8,1,2,4,5,6]=>[4,2,5,6,7,1,8,3]
[7,4,8,1,2,3,5,6]=>[4,5,2,6,7,1,8,3]
[7,5,8,1,2,3,4,6]=>[4,5,6,2,7,1,8,3]
[8,2,4,1,3,5,6,7]=>[2,4,5,3,6,7,8,1]
[8,3,5,1,2,4,6,7]=>[4,2,5,6,3,7,8,1]
[8,3,6,1,2,4,5,7]=>[4,2,5,6,7,3,8,1]
[8,3,7,1,2,4,5,6]=>[4,2,5,6,7,8,3,1]
[8,4,7,1,2,3,5,6]=>[4,5,2,6,7,8,3,1]
[8,5,7,1,2,3,4,6]=>[4,5,6,2,7,8,3,1]
[3,2,5,7,1,4,6,8]=>[1,5,2,3,6,7,4,8]
[4,2,5,7,1,3,6,8]=>[5,2,1,3,6,7,4,8]
[4,3,5,7,1,2,6,8]=>[2,1,5,3,6,7,4,8]
[5,2,4,7,1,3,6,8]=>[5,2,3,1,6,7,4,8]
[5,3,4,7,1,2,6,8]=>[2,5,3,1,6,7,4,8]
[4,2,6,7,1,3,5,8]=>[5,1,6,2,3,7,4,8]
[5,2,6,7,1,3,4,8]=>[5,6,2,1,3,7,4,8]
[5,3,6,7,1,2,4,8]=>[2,5,1,6,3,7,4,8]
[6,2,5,7,1,3,4,8]=>[5,6,2,3,1,7,4,8]
[6,3,5,7,1,2,4,8]=>[2,5,6,3,1,7,4,8]
[7,2,4,6,1,3,5,8]=>[5,2,3,6,7,4,1,8]
[7,3,4,6,1,2,5,8]=>[2,5,3,6,7,4,1,8]
[7,3,5,6,1,2,4,8]=>[2,5,6,3,7,4,1,8]
[3,2,5,8,1,4,6,7]=>[1,5,2,3,6,7,8,4]
[4,2,5,8,1,3,6,7]=>[5,2,1,3,6,7,8,4]
[4,3,5,8,1,2,6,7]=>[2,1,5,3,6,7,8,4]
[5,2,4,8,1,3,6,7]=>[5,2,3,1,6,7,8,4]
[3,2,6,8,1,4,5,7]=>[1,5,6,2,3,7,8,4]
[4,2,6,8,1,3,5,7]=>[5,1,6,2,3,7,8,4]
[4,3,6,8,1,2,5,7]=>[2,1,5,6,3,7,8,4]
[5,2,6,8,1,3,4,7]=>[5,6,2,1,3,7,8,4]
[6,2,4,8,1,3,5,7]=>[5,2,3,6,1,7,8,4]
[6,3,4,8,1,2,5,7]=>[2,5,3,6,1,7,8,4]
[6,2,5,8,1,3,4,7]=>[5,6,2,3,1,7,8,4]
[6,3,5,8,1,2,4,7]=>[2,5,6,3,1,7,8,4]
[6,4,5,8,1,2,3,7]=>[5,2,6,3,1,7,8,4]
[3,2,7,8,1,4,5,6]=>[1,5,6,7,2,3,8,4]
[4,3,7,8,1,2,5,6]=>[2,1,5,6,7,3,8,4]
[5,3,7,8,1,2,4,6]=>[2,5,1,6,7,3,8,4]
[5,4,7,8,1,2,3,6]=>[5,2,1,6,7,3,8,4]
[6,2,7,8,1,3,4,5]=>[5,6,7,2,1,3,8,4]
[6,3,7,8,1,2,4,5]=>[2,5,6,1,7,3,8,4]
[6,4,7,8,1,2,3,5]=>[5,2,6,1,7,3,8,4]
[7,2,4,8,1,3,5,6]=>[5,2,3,6,7,1,8,4]
[7,3,4,8,1,2,5,6]=>[2,5,3,6,7,1,8,4]
[7,3,5,8,1,2,4,6]=>[2,5,6,3,7,1,8,4]
[7,4,5,8,1,2,3,6]=>[5,2,6,3,7,1,8,4]
[7,4,6,8,1,2,3,5]=>[5,2,6,7,3,1,8,4]
[8,2,4,6,1,3,5,7]=>[5,2,3,6,7,4,8,1]
[8,3,4,6,1,2,5,7]=>[2,5,3,6,7,4,8,1]
[8,2,5,6,1,3,4,7]=>[5,6,2,3,7,4,8,1]
[8,3,5,6,1,2,4,7]=>[2,5,6,3,7,4,8,1]
[8,2,4,7,1,3,5,6]=>[5,2,3,6,7,8,4,1]
[8,2,5,7,1,3,4,6]=>[5,6,2,3,7,8,4,1]
[8,3,5,7,1,2,4,6]=>[2,5,6,3,7,8,4,1]
[8,2,6,7,1,3,4,5]=>[5,6,7,2,3,8,4,1]
[8,4,6,7,1,2,3,5]=>[5,2,6,7,3,8,4,1]
[3,6,2,5,1,4,7,8]=>[1,3,5,6,4,2,7,8]
[4,6,2,5,1,3,7,8]=>[3,1,5,6,4,2,7,8]
[4,6,3,5,1,2,7,8]=>[1,5,3,6,4,2,7,8]
[5,6,2,4,1,3,7,8]=>[3,5,1,6,4,2,7,8]
[3,7,2,5,1,4,6,8]=>[1,3,5,6,4,7,2,8]
[4,7,3,5,1,2,6,8]=>[1,5,3,6,4,7,2,8]
[5,7,2,4,1,3,6,8]=>[3,5,1,6,4,7,2,8]
[5,7,3,4,1,2,6,8]=>[5,3,1,6,4,7,2,8]
[3,7,2,6,1,4,5,8]=>[1,3,5,6,7,4,2,8]
[4,7,3,6,1,2,5,8]=>[1,5,3,6,7,4,2,8]
[5,7,2,6,1,3,4,8]=>[3,5,1,6,7,4,2,8]
[5,7,3,6,1,2,4,8]=>[5,3,1,6,7,4,2,8]
[6,7,2,5,1,3,4,8]=>[3,5,6,1,7,4,2,8]
[4,8,2,5,1,3,6,7]=>[3,1,5,6,4,7,8,2]
[5,8,2,4,1,3,6,7]=>[3,5,1,6,4,7,8,2]
[5,8,3,4,1,2,6,7]=>[5,3,1,6,4,7,8,2]
[3,8,2,6,1,4,5,7]=>[1,3,5,6,7,4,8,2]
[4,8,2,6,1,3,5,7]=>[3,1,5,6,7,4,8,2]
[5,8,3,6,1,2,4,7]=>[5,3,1,6,7,4,8,2]
[6,8,2,4,1,3,5,7]=>[3,5,6,4,1,7,8,2]
[6,8,3,4,1,2,5,7]=>[5,3,6,4,1,7,8,2]
[6,8,3,5,1,2,4,7]=>[5,3,6,1,7,4,8,2]
[6,8,4,5,1,2,3,7]=>[5,6,3,1,7,4,8,2]
[3,8,2,7,1,4,5,6]=>[1,3,5,6,7,8,4,2]
[4,8,2,7,1,3,5,6]=>[3,1,5,6,7,8,4,2]
[4,8,3,7,1,2,5,6]=>[1,5,3,6,7,8,4,2]
[5,8,2,7,1,3,4,6]=>[3,5,1,6,7,8,4,2]
[5,8,3,7,1,2,4,6]=>[5,3,1,6,7,8,4,2]
[5,8,4,7,1,2,3,6]=>[5,1,6,3,7,8,4,2]
[6,8,2,7,1,3,4,5]=>[3,5,6,1,7,8,4,2]
[6,8,3,7,1,2,4,5]=>[5,3,6,1,7,8,4,2]
[6,8,5,7,1,2,3,4]=>[5,6,1,7,3,8,4,2]
[7,8,2,4,1,3,5,6]=>[3,5,6,4,7,1,8,2]
[7,8,2,5,1,3,4,6]=>[3,5,6,7,4,1,8,2]
[7,8,3,5,1,2,4,6]=>[5,3,6,7,4,1,8,2]
[7,8,4,6,1,2,3,5]=>[5,6,3,7,1,8,4,2]
[4,3,2,6,1,5,7,8]=>[3,2,1,5,6,4,7,8]
[5,3,2,6,1,4,7,8]=>[3,2,5,1,6,4,7,8]
[5,4,2,6,1,3,7,8]=>[3,5,2,1,6,4,7,8]
[6,3,2,5,1,4,7,8]=>[3,2,5,6,4,1,7,8]
[6,4,2,5,1,3,7,8]=>[3,5,2,6,4,1,7,8]
[6,5,2,4,1,3,7,8]=>[3,5,6,4,2,1,7,8]
[4,3,2,7,1,5,6,8]=>[3,2,1,5,6,7,4,8]
[5,3,2,7,1,4,6,8]=>[3,2,5,1,6,7,4,8]
[5,4,3,7,1,2,6,8]=>[5,3,2,1,6,7,4,8]
[6,3,2,7,1,4,5,8]=>[3,2,5,6,1,7,4,8]
[6,4,2,7,1,3,5,8]=>[3,5,2,6,1,7,4,8]
[6,4,3,7,1,2,5,8]=>[5,3,2,6,1,7,4,8]
[6,5,2,7,1,3,4,8]=>[3,5,6,2,1,7,4,8]
[6,5,3,7,1,2,4,8]=>[5,3,6,2,1,7,4,8]
[7,3,2,5,1,4,6,8]=>[3,2,5,6,4,7,1,8]
[7,4,2,5,1,3,6,8]=>[3,5,2,6,4,7,1,8]
[7,3,2,6,1,4,5,8]=>[3,2,5,6,7,4,1,8]
[7,4,2,6,1,3,5,8]=>[3,5,2,6,7,4,1,8]
[7,4,3,6,1,2,5,8]=>[5,3,2,6,7,4,1,8]
[7,5,2,6,1,3,4,8]=>[3,5,6,2,7,4,1,8]
[7,5,3,6,1,2,4,8]=>[5,3,6,2,7,4,1,8]
[7,6,3,5,1,2,4,8]=>[5,3,6,7,4,2,1,8]
[4,3,2,8,1,5,6,7]=>[3,2,1,5,6,7,8,4]
[5,3,2,8,1,4,6,7]=>[3,2,5,1,6,7,8,4]
[5,4,3,8,1,2,6,7]=>[5,3,2,1,6,7,8,4]
[6,3,2,8,1,4,5,7]=>[3,2,5,6,1,7,8,4]
[6,4,2,8,1,3,5,7]=>[3,5,2,6,1,7,8,4]
[6,4,3,8,1,2,5,7]=>[5,3,2,6,1,7,8,4]
[6,5,2,8,1,3,4,7]=>[3,5,6,2,1,7,8,4]
[6,5,3,8,1,2,4,7]=>[5,3,6,2,1,7,8,4]
[6,5,4,8,1,2,3,7]=>[5,6,3,2,1,7,8,4]
[7,3,2,8,1,4,5,6]=>[3,2,5,6,7,1,8,4]
[7,4,2,8,1,3,5,6]=>[3,5,2,6,7,1,8,4]
[7,4,3,8,1,2,5,6]=>[5,3,2,6,7,1,8,4]
[7,5,3,8,1,2,4,6]=>[5,3,6,2,7,1,8,4]
[7,5,4,8,1,2,3,6]=>[5,6,3,2,7,1,8,4]
[7,6,2,8,1,3,4,5]=>[3,5,6,7,2,1,8,4]
[7,6,4,8,1,2,3,5]=>[5,6,3,7,2,1,8,4]
[8,3,2,5,1,4,6,7]=>[3,2,5,6,4,7,8,1]
[8,4,2,5,1,3,6,7]=>[3,5,2,6,4,7,8,1]
[8,3,2,6,1,4,5,7]=>[3,2,5,6,7,4,8,1]
[8,4,2,6,1,3,5,7]=>[3,5,2,6,7,4,8,1]
[8,5,3,6,1,2,4,7]=>[5,3,6,2,7,4,8,1]
[8,6,2,4,1,3,5,7]=>[3,5,6,4,7,2,8,1]
[8,6,2,5,1,3,4,7]=>[3,5,6,7,4,2,8,1]
[8,3,2,7,1,4,5,6]=>[3,2,5,6,7,8,4,1]
[8,4,2,7,1,3,5,6]=>[3,5,2,6,7,8,4,1]
[8,4,3,7,1,2,5,6]=>[5,3,2,6,7,8,4,1]
[8,5,2,7,1,3,4,6]=>[3,5,6,2,7,8,4,1]
[8,5,3,7,1,2,4,6]=>[5,3,6,2,7,8,4,1]
[8,5,4,7,1,2,3,6]=>[5,6,3,2,7,8,4,1]
[8,6,3,7,1,2,4,5]=>[5,3,6,7,2,8,4,1]
[8,7,2,4,1,3,5,6]=>[3,5,6,4,7,8,2,1]
[8,7,2,5,1,3,4,6]=>[3,5,6,7,4,8,2,1]
[8,7,3,5,1,2,4,6]=>[5,3,6,7,4,8,2,1]
[8,7,2,6,1,3,4,5]=>[3,5,6,7,8,4,2,1]
[8,7,3,6,1,2,4,5]=>[5,3,6,7,8,4,2,1]
[8,7,4,6,1,2,3,5]=>[5,6,3,7,8,4,2,1]
[3,6,2,5,8,1,4,7]=>[6,1,3,4,2,7,8,5]
[4,6,3,5,8,1,2,7]=>[1,3,6,4,2,7,8,5]
[5,6,2,4,8,1,3,7]=>[6,3,1,4,2,7,8,5]
[4,7,2,5,8,1,3,6]=>[1,6,3,4,7,2,8,5]
[4,7,3,5,8,1,2,6]=>[1,3,6,4,7,2,8,5]
[5,7,2,4,8,1,3,6]=>[6,3,1,4,7,2,8,5]
[5,7,3,4,8,1,2,6]=>[3,1,6,4,7,2,8,5]
[3,7,2,6,8,1,4,5]=>[6,7,1,3,4,2,8,5]
[4,7,3,6,8,1,2,5]=>[1,3,6,7,4,2,8,5]
[5,7,2,6,8,1,3,4]=>[6,1,7,3,4,2,8,5]
[5,7,4,6,8,1,2,3]=>[1,6,3,7,4,2,8,5]
[6,7,3,4,8,1,2,5]=>[3,6,4,1,7,2,8,5]
[6,7,3,5,8,1,2,4]=>[3,6,1,7,4,2,8,5]
[3,8,2,5,7,1,4,6]=>[6,1,3,4,7,8,5,2]
[4,8,2,5,7,1,3,6]=>[1,6,3,4,7,8,5,2]
[4,8,3,5,7,1,2,6]=>[1,3,6,4,7,8,5,2]
[5,8,2,4,7,1,3,6]=>[6,3,1,4,7,8,5,2]
[3,8,2,6,7,1,4,5]=>[6,7,1,3,4,8,5,2]
[4,8,3,6,7,1,2,5]=>[1,3,6,7,4,8,5,2]
[5,8,2,6,7,1,3,4]=>[6,1,7,3,4,8,5,2]
[5,8,3,6,7,1,2,4]=>[3,1,6,7,4,8,5,2]
[5,8,4,6,7,1,2,3]=>[1,6,3,7,4,8,5,2]
[6,8,2,5,7,1,3,4]=>[6,7,3,1,4,8,5,2]
[6,8,3,5,7,1,2,4]=>[3,6,1,7,4,8,5,2]
[6,8,4,5,7,1,2,3]=>[6,3,1,7,4,8,5,2]
[7,8,2,4,6,1,3,5]=>[6,3,4,7,1,8,5,2]
[7,8,3,4,6,1,2,5]=>[3,6,4,7,1,8,5,2]
[7,8,2,5,6,1,3,4]=>[6,7,3,4,1,8,5,2]
[7,8,3,5,6,1,2,4]=>[3,6,7,4,1,8,5,2]
[4,3,2,6,8,1,5,7]=>[2,1,6,3,4,7,8,5]
[5,3,2,6,8,1,4,7]=>[2,6,3,1,4,7,8,5]
[5,4,2,6,8,1,3,7]=>[6,3,2,1,4,7,8,5]
[5,4,3,6,8,1,2,7]=>[3,2,1,6,4,7,8,5]
[6,3,2,5,8,1,4,7]=>[2,6,3,4,1,7,8,5]
[6,4,3,5,8,1,2,7]=>[3,2,6,4,1,7,8,5]
[6,5,2,4,8,1,3,7]=>[6,3,4,2,1,7,8,5]
[4,3,2,7,8,1,5,6]=>[2,1,6,7,3,4,8,5]
[5,3,2,7,8,1,4,6]=>[2,6,1,7,3,4,8,5]
[5,4,2,7,8,1,3,6]=>[6,2,1,7,3,4,8,5]
[5,4,3,7,8,1,2,6]=>[3,2,1,6,7,4,8,5]
[6,4,2,7,8,1,3,5]=>[6,2,7,3,1,4,8,5]
[6,4,3,7,8,1,2,5]=>[3,2,6,1,7,4,8,5]
[6,5,2,7,8,1,3,4]=>[6,7,3,2,1,4,8,5]
[7,4,2,5,8,1,3,6]=>[6,3,2,4,7,1,8,5]
[7,4,3,5,8,1,2,6]=>[3,2,6,4,7,1,8,5]
[7,5,3,4,8,1,2,6]=>[3,6,4,2,7,1,8,5]
[7,3,2,6,8,1,4,5]=>[2,6,7,3,4,1,8,5]
[7,5,2,6,8,1,3,4]=>[6,7,3,2,4,1,8,5]
[7,5,3,6,8,1,2,4]=>[3,6,2,7,4,1,8,5]
[7,6,2,4,8,1,3,5]=>[6,3,4,7,2,1,8,5]
[7,6,3,5,8,1,2,4]=>[3,6,7,4,2,1,8,5]
[8,3,2,5,7,1,4,6]=>[2,6,3,4,7,8,5,1]
[8,4,2,5,7,1,3,6]=>[6,3,2,4,7,8,5,1]
[8,5,2,4,7,1,3,6]=>[6,3,4,2,7,8,5,1]
[8,3,2,6,7,1,4,5]=>[2,6,7,3,4,8,5,1]
[8,4,2,6,7,1,3,5]=>[6,2,7,3,4,8,5,1]
[8,5,2,6,7,1,3,4]=>[6,7,3,2,4,8,5,1]
[8,5,3,6,7,1,2,4]=>[3,6,2,7,4,8,5,1]
[8,6,2,4,7,1,3,5]=>[6,3,4,7,2,8,5,1]
[8,6,2,5,7,1,3,4]=>[6,7,3,4,2,8,5,1]
[8,6,3,5,7,1,2,4]=>[3,6,7,4,2,8,5,1]
[8,7,2,4,6,1,3,5]=>[6,3,4,7,8,5,2,1]
[8,7,3,4,6,1,2,5]=>[3,6,4,7,8,5,2,1]
[8,7,2,5,6,1,3,4]=>[6,7,3,4,8,5,2,1]
[8,7,3,5,6,1,2,4]=>[3,6,7,4,8,5,2,1]
[4,3,7,2,6,1,5,8]=>[2,1,4,6,7,5,3,8]
[5,3,7,2,6,1,4,8]=>[2,4,1,6,7,5,3,8]
[5,4,7,2,6,1,3,8]=>[4,2,1,6,7,5,3,8]
[6,3,7,2,5,1,4,8]=>[2,4,6,1,7,5,3,8]
[6,4,7,2,5,1,3,8]=>[4,2,6,1,7,5,3,8]
[6,4,7,3,5,1,2,8]=>[2,6,4,1,7,5,3,8]
[7,3,6,2,5,1,4,8]=>[2,4,6,7,5,3,1,8]
[4,3,8,2,6,1,5,7]=>[2,1,4,6,7,5,8,3]
[5,3,8,2,6,1,4,7]=>[2,4,1,6,7,5,8,3]
[5,4,8,2,6,1,3,7]=>[4,2,1,6,7,5,8,3]
[6,3,8,2,5,1,4,7]=>[2,4,6,1,7,5,8,3]
[6,4,8,2,5,1,3,7]=>[4,2,6,1,7,5,8,3]
[6,4,8,3,5,1,2,7]=>[2,6,4,1,7,5,8,3]
[6,5,8,2,4,1,3,7]=>[4,6,2,1,7,5,8,3]
[6,5,8,3,4,1,2,7]=>[6,4,2,1,7,5,8,3]
[4,3,8,2,7,1,5,6]=>[2,1,4,6,7,8,5,3]
[5,3,8,2,7,1,4,6]=>[2,4,1,6,7,8,5,3]
[5,4,8,2,7,1,3,6]=>[4,2,1,6,7,8,5,3]
[5,4,8,3,7,1,2,6]=>[2,1,6,4,7,8,5,3]
[6,3,8,2,7,1,4,5]=>[2,4,6,1,7,8,5,3]
[6,4,8,2,7,1,3,5]=>[4,2,6,1,7,8,5,3]
[6,4,8,3,7,1,2,5]=>[2,6,4,1,7,8,5,3]
[6,5,8,2,7,1,3,4]=>[4,6,2,1,7,8,5,3]
[7,3,8,2,5,1,4,6]=>[2,4,6,7,5,1,8,3]
[7,4,8,3,5,1,2,6]=>[2,6,4,7,5,1,8,3]
[7,5,8,2,4,1,3,6]=>[4,6,2,7,5,1,8,3]
[7,5,8,3,4,1,2,6]=>[6,4,2,7,5,1,8,3]
[7,3,8,2,6,1,4,5]=>[2,4,6,7,1,8,5,3]
[7,4,8,2,6,1,3,5]=>[4,2,6,7,1,8,5,3]
[7,5,8,2,6,1,3,4]=>[4,6,2,7,1,8,5,3]
[7,5,8,3,6,1,2,4]=>[6,4,2,7,1,8,5,3]
[7,5,8,4,6,1,2,3]=>[6,2,7,4,1,8,5,3]
[7,6,8,2,5,1,3,4]=>[4,6,7,2,1,8,5,3]
[7,6,8,3,5,1,2,4]=>[6,4,7,2,1,8,5,3]
[8,3,6,2,5,1,4,7]=>[2,4,6,7,5,3,8,1]
[8,4,6,2,5,1,3,7]=>[4,2,6,7,5,3,8,1]
[8,5,6,2,4,1,3,7]=>[4,6,2,7,5,3,8,1]
[8,3,7,2,5,1,4,6]=>[2,4,6,7,5,8,3,1]
[8,4,7,3,5,1,2,6]=>[2,6,4,7,5,8,3,1]
[8,5,7,2,4,1,3,6]=>[4,6,2,7,5,8,3,1]
[8,3,7,2,6,1,4,5]=>[2,4,6,7,8,5,3,1]
[8,4,7,2,6,1,3,5]=>[4,2,6,7,8,5,3,1]
[8,4,7,3,6,1,2,5]=>[2,6,4,7,8,5,3,1]
[8,5,7,2,6,1,3,4]=>[4,6,2,7,8,5,3,1]
[8,6,7,2,4,1,3,5]=>[4,6,7,5,2,8,3,1]
[8,6,7,2,5,1,3,4]=>[4,6,7,2,8,5,3,1]
[8,6,7,3,5,1,2,4]=>[6,4,7,2,8,5,3,1]
[5,4,3,2,7,1,6,8]=>[4,3,2,1,6,7,5,8]
[6,4,3,2,7,1,5,8]=>[4,3,2,6,1,7,5,8]
[6,5,3,2,7,1,4,8]=>[4,3,6,2,1,7,5,8]
[6,5,4,2,7,1,3,8]=>[4,6,3,2,1,7,5,8]
[7,5,3,2,6,1,4,8]=>[4,3,6,2,7,5,1,8]
[7,5,4,2,6,1,3,8]=>[4,6,3,2,7,5,1,8]
[7,6,3,2,5,1,4,8]=>[4,3,6,7,5,2,1,8]
[5,4,3,2,8,1,6,7]=>[4,3,2,1,6,7,8,5]
[6,5,3,2,8,1,4,7]=>[4,3,6,2,1,7,8,5]
[6,5,4,2,8,1,3,7]=>[4,6,3,2,1,7,8,5]
[6,5,4,3,8,1,2,7]=>[6,4,3,2,1,7,8,5]
[7,5,3,2,8,1,4,6]=>[4,3,6,2,7,1,8,5]
[7,5,4,2,8,1,3,6]=>[4,6,3,2,7,1,8,5]
[7,6,3,2,8,1,4,5]=>[4,3,6,7,2,1,8,5]
[7,6,4,3,8,1,2,5]=>[6,4,3,7,2,1,8,5]
[7,6,5,2,8,1,3,4]=>[4,6,7,3,2,1,8,5]
[7,6,5,3,8,1,2,4]=>[6,4,7,3,2,1,8,5]
[8,5,3,2,6,1,4,7]=>[4,3,6,2,7,5,8,1]
[8,5,4,2,6,1,3,7]=>[4,6,3,2,7,5,8,1]
[8,6,3,2,5,1,4,7]=>[4,3,6,7,5,2,8,1]
[8,6,4,2,5,1,3,7]=>[4,6,3,7,5,2,8,1]
[8,6,5,2,4,1,3,7]=>[4,6,7,5,3,2,8,1]
[8,5,3,2,7,1,4,6]=>[4,3,6,2,7,8,5,1]
[8,6,4,2,7,1,3,5]=>[4,6,3,7,2,8,5,1]
[8,6,4,3,7,1,2,5]=>[6,4,3,7,2,8,5,1]
[8,6,5,3,7,1,2,4]=>[6,4,7,3,2,8,5,1]
[8,7,3,2,5,1,4,6]=>[4,3,6,7,5,8,2,1]
[8,7,3,2,6,1,4,5]=>[4,3,6,7,8,5,2,1]
[8,7,4,2,6,1,3,5]=>[4,6,3,7,8,5,2,1]
[8,7,4,3,6,1,2,5]=>[6,4,3,7,8,5,2,1]
[8,7,5,2,6,1,3,4]=>[4,6,7,3,8,5,2,1]
[8,7,5,3,6,1,2,4]=>[6,4,7,3,8,5,2,1]
[8,7,6,2,4,1,3,5]=>[4,6,7,5,8,3,2,1]
[8,7,6,2,5,1,3,4]=>[4,6,7,8,5,3,2,1]
[8,7,6,3,5,1,2,4]=>[6,4,7,8,5,3,2,1]
[4,8,3,7,2,6,1,5]=>[1,3,5,7,8,6,4,2]
[5,8,3,7,2,6,1,4]=>[3,1,5,7,8,6,4,2]
[5,8,4,7,2,6,1,3]=>[1,5,3,7,8,6,4,2]
[5,8,4,7,3,6,1,2]=>[1,3,7,5,8,6,4,2]
[6,8,3,7,2,5,1,4]=>[3,5,1,7,8,6,4,2]
[6,8,4,7,2,5,1,3]=>[5,3,1,7,8,6,4,2]
[6,8,4,7,3,5,1,2]=>[3,1,7,5,8,6,4,2]
[6,8,5,7,2,4,1,3]=>[5,1,7,3,8,6,4,2]
[6,8,5,7,3,4,1,2]=>[1,7,5,3,8,6,4,2]
[7,8,3,6,2,5,1,4]=>[3,5,7,1,8,6,4,2]
[7,8,4,6,2,5,1,3]=>[5,3,7,1,8,6,4,2]
[7,8,4,6,3,5,1,2]=>[3,7,5,1,8,6,4,2]
[7,8,5,6,2,4,1,3]=>[5,7,3,1,8,6,4,2]
[5,4,3,8,2,7,1,6]=>[3,2,1,5,7,8,6,4]
[6,4,3,8,2,7,1,5]=>[3,2,5,1,7,8,6,4]
[6,5,3,8,2,7,1,4]=>[3,5,2,1,7,8,6,4]
[6,5,4,8,2,7,1,3]=>[5,3,2,1,7,8,6,4]
[6,5,4,8,3,7,1,2]=>[3,2,1,7,5,8,6,4]
[7,4,3,8,2,6,1,5]=>[3,2,5,7,1,8,6,4]
[7,5,3,8,2,6,1,4]=>[3,5,2,7,1,8,6,4]
[7,5,4,8,2,6,1,3]=>[5,3,2,7,1,8,6,4]
[7,6,3,8,2,5,1,4]=>[3,5,7,2,1,8,6,4]
[7,6,4,8,2,5,1,3]=>[5,3,7,2,1,8,6,4]
[7,6,5,8,2,4,1,3]=>[5,7,3,2,1,8,6,4]
[8,4,3,7,2,6,1,5]=>[3,2,5,7,8,6,4,1]
[8,5,3,7,2,6,1,4]=>[3,5,2,7,8,6,4,1]
[8,5,4,7,2,6,1,3]=>[5,3,2,7,8,6,4,1]
[8,5,4,7,3,6,1,2]=>[3,2,7,5,8,6,4,1]
[8,6,3,7,2,5,1,4]=>[3,5,7,2,8,6,4,1]
[8,6,4,7,2,5,1,3]=>[5,3,7,2,8,6,4,1]
[8,6,4,7,3,5,1,2]=>[3,7,5,2,8,6,4,1]
[8,6,5,7,2,4,1,3]=>[5,7,3,2,8,6,4,1]
[8,7,3,6,2,5,1,4]=>[3,5,7,8,6,4,2,1]
[8,7,4,6,2,5,1,3]=>[5,3,7,8,6,4,2,1]
[8,7,4,6,3,5,1,2]=>[3,7,5,8,6,4,2,1]
[8,7,5,6,2,4,1,3]=>[5,7,3,8,6,4,2,1]
[6,5,4,3,2,8,1,7]=>[5,4,3,2,1,7,8,6]
[7,6,4,3,2,8,1,5]=>[5,4,3,7,2,1,8,6]
[7,6,5,4,2,8,1,3]=>[5,7,4,3,2,1,8,6]
[8,5,4,3,2,7,1,6]=>[5,4,3,2,7,8,6,1]
[8,6,4,3,2,7,1,5]=>[5,4,3,7,2,8,6,1]
[8,6,5,3,2,7,1,4]=>[5,4,7,3,2,8,6,1]
[8,6,5,4,2,7,1,3]=>[5,7,4,3,2,8,6,1]
[8,7,4,3,2,6,1,5]=>[5,4,3,7,8,6,2,1]
[8,7,5,3,2,6,1,4]=>[5,4,7,3,8,6,2,1]
[8,7,5,4,2,6,1,3]=>[5,7,4,3,8,6,2,1]
[8,7,6,3,2,5,1,4]=>[5,4,7,8,6,3,2,1]
[8,7,6,4,2,5,1,3]=>[5,7,4,8,6,3,2,1]
[8,7,6,5,2,4,1,3]=>[5,7,8,6,4,3,2,1]
[8,1,2,3,4,7,5,6]=>[7,8,2,3,4,5,6,1]
[8,1,2,3,6,4,5,7]=>[6,7,2,3,4,5,8,1]
[8,1,2,3,7,4,5,6]=>[6,7,8,2,3,4,5,1]
[7,1,2,3,6,4,8,5]=>[8,6,2,3,4,5,1,7]
[5,1,2,3,8,7,4,6]=>[7,8,6,2,1,3,4,5]
[8,1,2,3,6,7,4,5]=>[7,5,8,2,3,4,6,1]
[4,1,2,8,3,7,5,6]=>[7,1,8,5,6,2,3,4]
[8,1,2,5,3,4,6,7]=>[5,6,2,3,4,7,8,1]
[7,1,2,5,3,4,8,6]=>[8,5,2,3,4,6,1,7]
[8,1,2,6,3,4,5,7]=>[5,6,7,2,3,4,8,1]
[7,1,2,6,3,4,8,5]=>[8,5,6,2,3,4,1,7]
[6,1,2,5,3,8,4,7]=>[7,4,8,2,3,1,5,6]
[8,1,2,5,3,7,4,6]=>[7,4,8,2,3,5,6,1]
[8,1,2,6,3,7,4,5]=>[7,8,5,2,3,4,6,1]
[6,1,2,5,3,7,8,4]=>[6,4,8,2,3,1,5,7]
[4,1,2,8,6,3,5,7]=>[6,1,7,5,8,2,3,4]
[4,1,2,8,7,3,5,6]=>[6,1,7,8,5,2,3,4]
[4,1,2,7,6,3,8,5]=>[1,8,6,5,2,3,4,7]
[8,1,2,5,6,3,4,7]=>[6,4,7,2,3,5,8,1]
[8,1,2,5,7,3,4,6]=>[6,4,7,8,2,3,5,1]
[8,1,2,7,6,3,4,5]=>[6,7,8,5,2,3,4,1]
[7,1,2,5,6,3,8,4]=>[4,8,6,2,3,5,1,7]
[4,1,2,5,8,7,3,6]=>[7,1,8,4,6,2,3,5]
[4,1,2,8,6,7,3,5]=>[1,7,5,8,6,2,3,4]
[8,1,2,5,6,7,3,4]=>[4,7,5,8,2,3,6,1]
[3,1,8,2,4,7,5,6]=>[1,7,8,4,5,6,2,3]
[3,1,8,2,6,4,5,7]=>[1,6,7,4,5,8,2,3]
[3,1,8,2,7,4,5,6]=>[1,6,7,8,4,5,2,3]
[3,1,7,2,6,4,8,5]=>[8,1,6,4,5,2,3,7]
[3,1,5,2,8,7,4,6]=>[1,3,7,8,6,2,4,5]
[3,1,8,2,6,7,4,5]=>[7,1,5,8,4,6,2,3]
[8,1,4,2,3,5,6,7]=>[4,5,2,3,6,7,8,1]
[7,1,4,2,3,5,8,6]=>[8,4,2,3,5,6,1,7]
[6,1,4,2,3,8,5,7]=>[7,3,8,2,4,1,5,6]
[8,1,4,2,3,7,5,6]=>[7,3,8,2,4,5,6,1]
[6,1,4,2,3,7,8,5]=>[6,3,8,2,4,1,5,7]
[8,1,5,2,3,4,6,7]=>[4,5,6,2,3,7,8,1]
[7,1,5,2,3,4,8,6]=>[8,4,5,2,3,6,1,7]
[8,1,7,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]
[6,1,5,2,3,8,4,7]=>[7,8,4,2,3,1,5,6]
[8,1,5,2,3,7,4,6]=>[7,8,4,2,3,5,6,1]
[6,1,8,2,3,7,4,5]=>[7,8,4,5,1,6,2,3]
[6,1,5,2,3,7,8,4]=>[6,8,4,2,3,1,5,7]
[5,1,4,2,8,3,6,7]=>[6,3,7,1,8,2,4,5]
[5,1,4,2,7,3,8,6]=>[3,8,6,2,1,4,5,7]
[8,1,4,2,6,3,5,7]=>[6,3,7,2,4,5,8,1]
[8,1,4,2,7,3,5,6]=>[6,3,7,8,2,4,5,1]
[7,1,4,2,6,3,8,5]=>[3,8,6,2,4,5,1,7]
[8,1,5,2,6,3,4,7]=>[6,7,4,2,3,5,8,1]
[8,1,5,2,7,3,4,6]=>[6,7,3,8,2,4,5,1]
[7,1,8,2,6,3,4,5]=>[6,7,8,4,5,2,1,3]
[7,1,5,2,6,3,8,4]=>[8,6,4,2,3,5,1,7]
[5,1,4,2,6,8,3,7]=>[5,3,7,1,8,2,4,6]
[5,1,4,2,8,7,3,6]=>[3,7,1,8,6,2,4,5]
[8,1,4,2,6,7,3,5]=>[3,7,5,8,2,4,6,1]
[8,1,5,2,6,7,3,4]=>[7,5,3,8,2,4,6,1]
[5,1,4,2,6,7,8,3]=>[5,3,6,1,8,2,4,7]
[3,1,4,8,2,7,5,6]=>[1,7,8,3,5,6,2,4]
[3,1,8,5,2,4,6,7]=>[1,5,6,4,7,8,2,3]
[3,1,7,5,2,4,8,6]=>[8,1,5,4,6,2,3,7]
[3,1,8,6,2,4,5,7]=>[1,5,6,7,4,8,2,3]
[3,1,7,6,2,4,8,5]=>[8,1,5,6,4,2,3,7]
[3,1,6,5,2,8,4,7]=>[7,1,4,3,8,2,5,6]
[3,1,8,5,2,7,4,6]=>[7,1,4,8,5,6,2,3]
[3,1,8,6,2,7,4,5]=>[7,8,1,5,4,6,2,3]
[3,1,6,5,2,7,8,4]=>[6,1,4,3,8,2,5,7]
[8,1,4,5,2,3,6,7]=>[5,3,6,2,4,7,8,1]
[7,1,4,5,2,3,8,6]=>[3,8,5,2,4,6,1,7]
[8,1,4,6,2,3,5,7]=>[5,3,6,7,2,4,8,1]
[7,1,4,8,2,3,5,6]=>[5,3,6,7,8,2,1,4]
[7,1,4,6,2,3,8,5]=>[3,8,5,6,2,4,1,7]
[8,1,6,5,2,3,4,7]=>[5,6,7,4,2,3,8,1]
[7,1,8,5,2,3,4,6]=>[5,6,7,4,8,2,1,3]
[7,1,8,6,2,3,4,5]=>[5,6,7,8,4,2,1,3]
[7,1,6,5,2,3,8,4]=>[8,5,6,4,2,3,1,7]
[6,1,4,5,2,8,3,7]=>[3,7,4,8,2,1,5,6]
[8,1,4,5,2,7,3,6]=>[3,7,4,8,2,5,6,1]
[8,1,4,6,2,7,3,5]=>[3,7,8,5,2,4,6,1]
[8,1,6,5,2,7,3,4]=>[7,8,5,4,2,3,6,1]
[6,1,4,5,2,7,8,3]=>[3,6,4,8,2,1,5,7]
[3,1,4,8,6,2,5,7]=>[1,6,7,3,5,8,2,4]
[3,1,4,8,7,2,5,6]=>[1,6,7,8,3,5,2,4]
[3,1,4,7,6,2,8,5]=>[8,1,6,3,5,2,4,7]
[3,1,8,5,6,2,4,7]=>[6,1,4,7,5,8,2,3]
[3,1,8,5,7,2,4,6]=>[6,1,4,7,8,5,2,3]
[3,1,8,7,6,2,4,5]=>[6,7,8,1,5,4,2,3]
[3,1,7,5,6,2,8,4]=>[4,8,1,6,5,2,3,7]
[8,1,4,5,6,2,3,7]=>[3,6,4,7,2,5,8,1]
[8,1,4,5,7,2,3,6]=>[3,6,4,7,8,2,5,1]
[8,1,4,7,6,2,3,5]=>[3,6,7,8,5,2,4,1]
[8,1,7,5,6,2,3,4]=>[6,7,4,8,5,2,3,1]
[7,1,4,5,6,2,8,3]=>[3,4,8,6,2,5,1,7]
[3,1,4,5,8,7,2,6]=>[1,7,8,3,4,6,2,5]
[3,1,4,8,6,7,2,5]=>[7,1,5,8,3,6,2,4]
[3,1,8,5,6,7,2,4]=>[4,7,1,5,8,6,2,3]
[8,1,4,5,6,7,2,3]=>[3,4,7,5,8,2,6,1]
[2,8,1,3,4,7,5,6]=>[7,8,1,3,4,5,6,2]
[2,8,1,3,6,4,5,7]=>[6,7,1,3,4,5,8,2]
[2,8,1,3,7,4,5,6]=>[6,7,8,1,3,4,5,2]
[2,7,1,3,6,4,8,5]=>[8,6,1,3,4,5,2,7]
[2,5,1,3,8,7,4,6]=>[7,2,8,1,6,3,4,5]
[2,8,1,3,6,7,4,5]=>[7,5,8,1,3,4,6,2]
[2,4,1,8,3,7,5,6]=>[2,7,8,1,5,6,3,4]
[2,8,1,5,3,4,6,7]=>[5,6,1,3,4,7,8,2]
[2,7,1,5,3,4,8,6]=>[8,5,1,3,4,6,2,7]
[2,8,1,6,3,4,5,7]=>[5,6,7,1,3,4,8,2]
[2,7,1,6,3,4,8,5]=>[8,5,6,1,3,4,2,7]
[2,6,1,5,3,8,4,7]=>[7,4,8,1,3,2,5,6]
[2,8,1,5,3,7,4,6]=>[7,4,8,1,3,5,6,2]
[2,8,1,6,3,7,4,5]=>[7,8,5,1,3,4,6,2]
[2,6,1,5,3,7,8,4]=>[6,4,8,1,3,2,5,7]
[2,4,1,8,6,3,5,7]=>[2,6,7,1,5,8,3,4]
[2,4,1,8,7,3,5,6]=>[2,6,7,8,1,5,3,4]
[2,4,1,7,6,3,8,5]=>[8,2,6,1,5,3,4,7]
[2,8,1,5,6,3,4,7]=>[6,4,7,1,3,5,8,2]
[2,8,1,5,7,3,4,6]=>[6,4,7,8,1,3,5,2]
[2,8,1,7,6,3,4,5]=>[6,7,8,5,1,3,4,2]
[2,7,1,5,6,3,8,4]=>[4,8,6,1,3,5,2,7]
[2,4,1,5,8,7,3,6]=>[2,7,8,1,4,6,3,5]
[2,4,1,8,6,7,3,5]=>[7,2,5,8,1,6,3,4]
[2,8,1,5,6,7,3,4]=>[4,7,5,8,1,3,6,2]
[7,3,1,2,4,5,8,6]=>[8,3,2,4,5,6,1,7]
[6,3,1,2,4,8,5,7]=>[7,2,8,3,4,1,5,6]
[8,3,1,2,4,7,5,6]=>[7,2,8,3,4,5,6,1]
[6,3,1,2,4,7,8,5]=>[6,2,8,3,4,1,5,7]
[5,3,1,2,8,4,6,7]=>[6,2,7,1,8,3,4,5]
[5,3,1,2,7,4,8,6]=>[2,8,6,3,1,4,5,7]
[8,3,1,2,6,4,5,7]=>[6,2,7,3,4,5,8,1]
[8,3,1,2,7,4,5,6]=>[6,2,7,8,3,4,5,1]
[7,3,1,2,6,4,8,5]=>[2,8,6,3,4,5,1,7]
[5,3,1,2,6,8,4,7]=>[5,2,7,1,8,3,4,6]
[5,3,1,2,8,7,4,6]=>[2,7,1,8,6,3,4,5]
[8,3,1,2,6,7,4,5]=>[2,7,5,8,3,4,6,1]
[5,3,1,2,6,7,8,4]=>[5,2,6,1,8,3,4,7]
[7,4,1,2,3,5,8,6]=>[8,3,4,2,5,6,1,7]
[6,4,1,2,3,8,5,7]=>[7,8,3,2,4,1,5,6]
[8,4,1,2,3,7,5,6]=>[7,8,3,2,4,5,6,1]
[6,4,1,2,3,7,8,5]=>[6,8,3,2,4,1,5,7]
[7,6,1,2,3,4,8,5]=>[8,3,4,5,6,2,1,7]
[5,8,1,2,3,7,4,6]=>[7,8,3,1,4,5,6,2]
[8,6,1,2,3,7,4,5]=>[7,8,3,4,5,2,6,1]
[5,4,1,2,8,3,6,7]=>[6,7,2,1,8,3,4,5]
[5,4,1,2,7,3,8,6]=>[8,6,3,2,1,4,5,7]
[8,4,1,2,6,3,5,7]=>[6,7,3,2,4,5,8,1]
[8,4,1,2,7,3,5,6]=>[6,7,2,8,3,4,5,1]
[7,4,1,2,6,3,8,5]=>[8,6,3,2,4,5,1,7]
[5,8,1,2,6,3,4,7]=>[6,7,3,1,4,5,8,2]
[5,8,1,2,7,3,4,6]=>[6,7,1,8,3,4,5,2]
[8,7,1,2,6,3,4,5]=>[6,7,8,3,4,5,2,1]
[5,7,1,2,6,3,8,4]=>[8,6,3,1,4,5,2,7]
[5,4,1,2,6,8,3,7]=>[5,7,2,1,8,3,4,6]
[5,4,1,2,8,7,3,6]=>[7,2,1,8,6,3,4,5]
[8,4,1,2,6,7,3,5]=>[7,5,2,8,3,4,6,1]
[5,8,1,2,6,7,3,4]=>[7,5,1,8,3,4,6,2]
[5,4,1,2,6,7,8,3]=>[5,6,2,1,8,3,4,7]
[4,3,1,8,2,5,6,7]=>[5,2,1,6,7,8,3,4]
[4,3,1,7,2,5,8,6]=>[2,1,8,5,6,3,4,7]
[4,3,1,6,2,8,5,7]=>[2,1,7,4,8,3,5,6]
[4,3,1,8,2,7,5,6]=>[2,1,7,8,5,6,3,4]
[4,3,1,6,2,7,8,5]=>[2,1,6,4,8,3,5,7]
[8,3,1,5,2,4,6,7]=>[5,2,6,3,4,7,8,1]
[7,3,1,5,2,4,8,6]=>[2,8,5,3,4,6,1,7]
[8,3,1,6,2,4,5,7]=>[5,2,6,7,3,4,8,1]
[7,3,1,8,2,4,5,6]=>[5,2,6,7,8,3,1,4]
[7,3,1,6,2,4,8,5]=>[2,8,5,6,3,4,1,7]
[6,3,1,5,2,8,4,7]=>[2,7,4,8,3,1,5,6]
[8,3,1,5,2,7,4,6]=>[2,7,4,8,3,5,6,1]
[8,3,1,6,2,7,4,5]=>[2,7,8,5,3,4,6,1]
[6,3,1,5,2,7,8,4]=>[2,6,4,8,3,1,5,7]
[8,4,1,5,2,3,6,7]=>[5,6,3,2,4,7,8,1]
[7,4,1,5,2,3,8,6]=>[8,5,3,2,4,6,1,7]
[8,4,1,6,2,3,5,7]=>[5,6,2,7,3,4,8,1]
[7,4,1,8,2,3,5,6]=>[5,6,2,7,8,3,1,4]
[7,4,1,6,2,3,8,5]=>[8,5,2,6,3,4,1,7]
[6,8,1,5,2,3,4,7]=>[5,6,7,3,1,4,8,2]
[8,7,1,5,2,3,4,6]=>[5,6,7,3,4,8,2,1]
[8,7,1,6,2,3,4,5]=>[5,6,7,8,3,4,2,1]
[6,7,1,5,2,3,8,4]=>[8,5,6,3,1,4,2,7]
[6,4,1,5,2,8,3,7]=>[7,4,2,8,3,1,5,6]
[8,4,1,5,2,7,3,6]=>[7,4,2,8,3,5,6,1]
[8,4,1,6,2,7,3,5]=>[7,2,8,5,3,4,6,1]
[6,8,1,5,2,7,3,4]=>[7,8,5,3,1,4,6,2]
[6,4,1,5,2,7,8,3]=>[6,4,2,8,3,1,5,7]
[4,3,1,5,8,2,6,7]=>[4,2,1,6,7,8,3,5]
[4,3,1,5,7,2,8,6]=>[2,1,8,4,6,3,5,7]
[4,3,1,8,6,2,5,7]=>[2,1,6,7,5,8,3,4]
[4,3,1,8,7,2,5,6]=>[2,1,6,7,8,5,3,4]
[4,3,1,7,6,2,8,5]=>[1,8,2,6,5,3,4,7]
[8,3,1,5,6,2,4,7]=>[2,6,4,7,3,5,8,1]
[8,3,1,5,7,2,4,6]=>[2,6,4,7,8,3,5,1]
[8,3,1,7,6,2,4,5]=>[2,6,7,8,5,3,4,1]
[7,3,1,5,6,2,8,4]=>[2,4,8,6,3,5,1,7]
[8,4,1,5,6,2,3,7]=>[6,4,2,7,3,5,8,1]
[8,4,1,5,7,2,3,6]=>[6,4,2,7,8,3,5,1]
[8,4,1,7,6,2,3,5]=>[6,2,7,8,5,3,4,1]
[7,8,1,5,6,2,3,4]=>[6,7,4,8,3,1,5,2]
[7,4,1,5,6,2,8,3]=>[4,2,8,6,3,5,1,7]
[4,3,1,5,6,8,2,7]=>[4,2,1,5,7,8,3,6]
[4,3,1,5,8,7,2,6]=>[2,1,7,8,4,6,3,5]
[4,3,1,8,6,7,2,5]=>[1,7,2,5,8,6,3,4]
[8,3,1,5,6,7,2,4]=>[2,4,7,5,8,3,6,1]
[8,4,1,5,6,7,2,3]=>[4,2,7,5,8,3,6,1]
[4,3,1,5,6,7,8,2]=>[4,2,1,5,6,8,3,7]
[2,3,8,1,4,7,5,6]=>[7,8,1,2,4,5,6,3]
[2,3,8,1,6,4,5,7]=>[6,7,1,2,4,5,8,3]
[2,3,8,1,7,4,5,6]=>[6,7,8,1,2,4,5,3]
[2,3,7,1,6,4,8,5]=>[8,6,1,2,4,5,3,7]
[2,3,5,1,8,7,4,6]=>[3,7,8,1,2,6,4,5]
[2,3,8,1,6,7,4,5]=>[7,5,8,1,2,4,6,3]
[2,8,4,1,3,5,6,7]=>[4,5,1,3,6,7,8,2]
[2,7,4,1,3,5,8,6]=>[8,4,1,3,5,6,2,7]
[2,6,4,1,3,8,5,7]=>[7,3,8,1,4,2,5,6]
[2,8,4,1,3,7,5,6]=>[7,3,8,1,4,5,6,2]
[2,6,4,1,3,7,8,5]=>[6,3,8,1,4,2,5,7]
[2,8,5,1,3,4,6,7]=>[4,5,6,1,3,7,8,2]
[2,7,5,1,3,4,8,6]=>[8,4,5,1,3,6,2,7]
[2,8,7,1,3,4,5,6]=>[4,5,6,7,8,1,3,2]
[2,6,5,1,3,8,4,7]=>[7,8,4,1,3,2,5,6]
[2,8,5,1,3,7,4,6]=>[7,8,4,1,3,5,6,2]
[2,6,8,1,3,7,4,5]=>[7,8,4,1,2,5,6,3]
[2,6,5,1,3,7,8,4]=>[6,8,4,1,3,2,5,7]
[2,5,4,1,8,3,6,7]=>[6,3,1,2,7,8,4,5]
[2,5,4,1,7,3,8,6]=>[3,2,8,1,6,4,5,7]
[2,8,4,1,6,3,5,7]=>[6,3,7,1,4,5,8,2]
[2,8,4,1,7,3,5,6]=>[6,3,7,8,1,4,5,2]
[2,7,4,1,6,3,8,5]=>[3,8,6,1,4,5,2,7]
[2,8,5,1,6,3,4,7]=>[6,7,4,1,3,5,8,2]
[2,8,5,1,7,3,4,6]=>[6,7,3,8,1,4,5,2]
[2,7,8,1,6,3,4,5]=>[6,7,8,4,1,2,5,3]
[2,7,5,1,6,3,8,4]=>[8,6,4,1,3,5,2,7]
[2,5,4,1,6,8,3,7]=>[5,3,1,2,7,8,4,6]
[2,5,4,1,8,7,3,6]=>[3,2,7,8,1,6,4,5]
[2,8,4,1,6,7,3,5]=>[3,7,5,8,1,4,6,2]
[2,8,5,1,6,7,3,4]=>[7,5,3,8,1,4,6,2]
[2,5,4,1,6,7,8,3]=>[5,3,1,2,6,8,4,7]
[7,3,4,1,2,5,8,6]=>[2,8,4,3,5,6,1,7]
[6,3,4,1,2,8,5,7]=>[2,7,3,8,4,1,5,6]
[8,3,4,1,2,7,5,6]=>[2,7,3,8,4,5,6,1]
[6,3,4,1,2,7,8,5]=>[2,6,3,8,4,1,5,7]
[7,3,5,1,2,4,8,6]=>[2,8,4,5,3,6,1,7]
[6,3,7,1,2,4,8,5]=>[2,8,4,5,1,6,3,7]
[6,3,5,1,2,8,4,7]=>[2,7,8,4,3,1,5,6]
[8,3,5,1,2,7,4,6]=>[2,7,8,4,3,5,6,1]
[6,3,8,1,2,7,4,5]=>[2,7,8,4,1,5,6,3]
[6,3,5,1,2,7,8,4]=>[2,6,8,4,3,1,5,7]
[7,5,4,1,2,3,8,6]=>[8,4,5,3,2,6,1,7]
[6,8,4,1,2,3,5,7]=>[4,5,6,3,1,7,8,2]
[6,7,4,1,2,3,8,5]=>[8,4,5,3,1,6,2,7]
[6,8,5,1,2,3,4,7]=>[4,5,6,1,7,3,8,2]
[6,7,5,1,2,3,8,4]=>[8,4,5,1,6,3,2,7]
[6,5,4,1,2,8,3,7]=>[7,8,4,3,2,1,5,6]
[8,5,4,1,2,7,3,6]=>[7,8,4,3,2,5,6,1]
[6,8,4,1,2,7,3,5]=>[7,8,4,3,1,5,6,2]
[6,8,5,1,2,7,3,4]=>[7,8,4,1,5,3,6,2]
[6,5,4,1,2,7,8,3]=>[6,8,4,3,2,1,5,7]
[5,3,4,1,8,2,6,7]=>[2,6,3,1,7,8,4,5]
[5,3,4,1,7,2,8,6]=>[2,3,1,8,6,4,5,7]
[8,3,4,1,6,2,5,7]=>[2,6,3,7,4,5,8,1]
[8,3,4,1,7,2,5,6]=>[2,6,3,7,8,4,5,1]
[7,3,4,1,6,2,8,5]=>[2,3,8,6,4,5,1,7]
[8,3,5,1,6,2,4,7]=>[2,6,7,4,3,5,8,1]
[8,3,5,1,7,2,4,6]=>[2,6,7,3,8,4,5,1]
[7,3,8,1,6,2,4,5]=>[2,6,7,8,4,1,5,3]
[7,3,5,1,6,2,8,4]=>[8,2,6,4,3,5,1,7]
[8,5,4,1,6,2,3,7]=>[6,7,4,3,2,5,8,1]
[8,5,4,1,7,2,3,6]=>[6,7,3,2,8,4,5,1]
[7,8,4,1,6,2,3,5]=>[6,7,3,8,4,1,5,2]
[7,8,5,1,6,2,3,4]=>[6,7,8,4,3,1,5,2]
[7,5,4,1,6,2,8,3]=>[8,6,4,3,2,5,1,7]
[5,3,4,1,6,8,2,7]=>[2,5,3,1,7,8,4,6]
[5,3,4,1,8,7,2,6]=>[2,3,1,7,8,6,4,5]
[8,3,4,1,6,7,2,5]=>[2,3,7,5,8,4,6,1]
[8,3,5,1,6,7,2,4]=>[7,2,5,3,8,4,6,1]
[8,5,4,1,6,7,2,3]=>[7,5,3,2,8,4,6,1]
[5,3,4,1,6,7,8,2]=>[2,5,3,1,6,8,4,7]
[2,3,4,8,1,7,5,6]=>[7,8,1,2,3,5,6,4]
[2,3,8,5,1,4,6,7]=>[5,6,1,2,4,7,8,3]
[2,3,7,5,1,4,8,6]=>[8,5,1,2,4,6,3,7]
[2,3,8,6,1,4,5,7]=>[5,6,7,1,2,4,8,3]
[2,3,7,6,1,4,8,5]=>[8,5,6,1,2,4,3,7]
[2,3,6,5,1,8,4,7]=>[7,4,1,2,3,8,5,6]
[2,3,8,5,1,7,4,6]=>[7,4,8,1,2,5,6,3]
[2,3,8,6,1,7,4,5]=>[7,8,5,1,2,4,6,3]
[2,3,6,5,1,7,8,4]=>[6,4,1,2,3,8,5,7]
[2,8,4,5,1,3,6,7]=>[5,3,6,1,4,7,8,2]
[2,7,4,5,1,3,8,6]=>[3,8,5,1,4,6,2,7]
[2,8,4,6,1,3,5,7]=>[5,3,6,7,1,4,8,2]
[2,7,4,8,1,3,5,6]=>[5,3,6,7,1,2,8,4]
[2,7,4,6,1,3,8,5]=>[3,8,5,6,1,4,2,7]
[2,8,6,5,1,3,4,7]=>[5,6,7,4,1,3,8,2]
[2,7,8,5,1,3,4,6]=>[5,6,7,4,1,2,8,3]
[2,7,8,6,1,3,4,5]=>[5,6,7,2,8,1,4,3]
[2,7,6,5,1,3,8,4]=>[8,5,6,4,1,3,2,7]
[2,6,4,5,1,8,3,7]=>[3,7,4,1,2,8,5,6]
[2,8,4,5,1,7,3,6]=>[3,7,4,8,1,5,6,2]
[2,8,4,6,1,7,3,5]=>[3,7,8,5,1,4,6,2]
[2,8,6,5,1,7,3,4]=>[7,8,5,4,1,3,6,2]
[2,6,4,5,1,7,8,3]=>[3,6,4,1,2,8,5,7]
[7,3,4,5,1,2,8,6]=>[2,3,8,5,4,6,1,7]
[7,3,4,6,1,2,8,5]=>[2,3,8,5,6,4,1,7]
[8,3,6,5,1,2,4,7]=>[2,5,6,7,4,3,8,1]
[7,3,8,5,1,2,4,6]=>[2,5,6,7,4,1,8,3]
[7,3,8,6,1,2,4,5]=>[2,5,6,7,1,8,4,3]
[7,3,6,5,1,2,8,4]=>[8,2,5,6,4,3,1,7]
[7,6,4,5,1,2,8,3]=>[8,5,3,6,4,2,1,7]
[6,3,4,5,1,8,2,7]=>[2,3,7,4,1,8,5,6]
[8,3,4,5,1,7,2,6]=>[2,3,7,4,8,5,6,1]
[8,3,4,6,1,7,2,5]=>[2,3,7,8,5,4,6,1]
[8,3,6,5,1,7,2,4]=>[7,8,2,5,4,3,6,1]
[8,6,4,5,1,7,2,3]=>[7,3,8,5,4,2,6,1]
[6,3,4,5,1,7,8,2]=>[2,3,6,4,1,8,5,7]
[2,3,4,8,6,1,5,7]=>[6,7,1,2,3,5,8,4]
[2,3,4,8,7,1,5,6]=>[6,7,8,1,2,3,5,4]
[2,3,4,7,6,1,8,5]=>[8,6,1,2,3,5,4,7]
[2,3,8,5,6,1,4,7]=>[6,4,7,1,2,5,8,3]
[2,3,8,5,7,1,4,6]=>[6,4,7,8,1,2,5,3]
[2,3,8,7,6,1,4,5]=>[6,7,8,5,1,2,4,3]
[2,3,7,5,6,1,8,4]=>[4,8,6,1,2,5,3,7]
[2,8,4,5,6,1,3,7]=>[3,6,4,7,1,5,8,2]
[2,8,4,5,7,1,3,6]=>[3,6,4,7,8,1,5,2]
[2,8,4,7,6,1,3,5]=>[3,6,7,8,5,1,4,2]
[2,8,7,5,6,1,3,4]=>[6,7,4,8,5,1,3,2]
[2,7,4,5,6,1,8,3]=>[3,4,8,6,1,5,2,7]
[8,3,4,5,7,1,2,6]=>[2,3,6,4,7,8,5,1]
[8,3,4,7,6,1,2,5]=>[2,3,6,7,8,5,4,1]
[8,3,7,5,6,1,2,4]=>[6,7,2,4,8,5,3,1]
[7,3,4,5,6,1,8,2]=>[2,3,4,8,6,5,1,7]
[2,3,4,5,8,7,1,6]=>[7,8,1,2,3,4,6,5]
[2,3,4,8,6,7,1,5]=>[7,5,8,1,2,3,6,4]
[2,3,8,5,6,7,1,4]=>[4,7,5,8,1,2,6,3]
[2,8,4,5,6,7,1,3]=>[3,4,7,5,8,1,6,2]
[3,5,2,6,1,4,8,7]=>[8,1,3,2,5,4,6,7]
[3,5,2,6,4,1,8,7]=>[5,1,3,2,4,8,6,7]
[3,5,2,7,4,8,1,6]=>[5,1,2,7,3,4,8,6]
[3,5,2,7,4,8,6,1]=>[2,8,1,5,3,4,7,6]
[4,5,7,2,3,8,6,1]=>[1,2,8,4,5,3,7,6]
[4,5,7,2,3,8,1,6]=>[1,4,2,5,7,3,8,6]
[4,5,6,2,3,1,8,7]=>[1,4,2,5,3,8,6,7]
[4,5,6,2,1,3,8,7]=>[1,4,2,8,5,3,6,7]
[3,5,1,6,4,2,8,7]=>[5,1,4,2,8,3,6,7]
[4,5,6,1,3,2,8,7]=>[1,5,2,8,4,3,6,7]
[4,5,6,3,1,2,8,7]=>[1,2,8,5,4,3,6,7]
[4,5,7,3,2,8,1,6]=>[1,2,5,4,7,3,8,6]
[4,5,7,3,2,8,6,1]=>[1,2,4,8,5,3,7,6]
[4,6,7,3,8,2,5,1]=>[4,1,2,6,3,8,7,5]
[4,6,7,3,8,2,1,5]=>[4,1,2,7,6,3,8,5]
[4,6,7,3,8,1,2,5]=>[6,1,4,2,7,3,8,5]
[4,5,7,3,1,8,2,6]=>[1,2,7,4,8,5,3,6]
[4,5,7,1,3,8,2,6]=>[1,5,2,7,8,4,3,6]
[3,5,1,7,4,8,2,6]=>[5,1,2,7,4,8,3,6]
[2,1,5,7,4,8,3,6]=>[3,5,7,1,4,8,2,6]
[2,1,5,7,4,8,6,3]=>[8,3,5,1,4,7,2,6]
[3,5,1,7,4,8,6,2]=>[2,8,1,5,4,7,3,6]
[4,5,7,1,3,8,6,2]=>[1,2,8,5,7,4,3,6]
[4,5,7,3,1,8,6,2]=>[1,2,4,8,7,5,3,6]
[4,6,7,3,8,1,5,2]=>[4,1,2,8,6,3,7,5]
[4,6,7,3,8,5,1,2]=>[4,1,2,7,3,8,6,5]
[4,6,7,3,8,5,2,1]=>[2,8,1,4,3,7,6,5]
[5,6,7,8,3,1,4,2]=>[1,2,8,6,5,3,7,4]
[5,6,7,8,1,3,4,2]=>[1,6,2,8,5,3,7,4]
[4,6,7,1,8,3,5,2]=>[6,1,2,8,7,4,3,5]
[3,6,1,7,8,4,5,2]=>[6,4,1,2,8,7,3,5]
[2,1,6,7,8,4,5,3]=>[3,6,4,8,1,7,2,5]
[2,1,6,7,8,4,3,5]=>[3,7,6,1,4,8,2,5]
[3,6,1,7,8,4,2,5]=>[7,6,1,4,2,8,3,5]
[4,6,7,1,8,3,2,5]=>[7,1,6,2,8,4,3,5]
[5,6,7,8,1,3,2,4]=>[1,7,5,2,6,3,8,4]
[4,5,7,2,1,8,3,6]=>[1,4,2,7,8,5,3,6]
[4,6,7,2,8,1,3,5]=>[1,4,6,2,7,3,8,5]
[4,6,7,2,8,3,1,5]=>[7,1,4,2,6,3,8,5]
[4,6,7,2,8,3,5,1]=>[6,1,2,8,4,3,7,5]
[3,6,2,7,8,4,5,1]=>[6,4,1,2,8,3,7,5]
[3,6,2,7,8,4,1,5]=>[7,6,1,3,2,4,8,5]
[3,6,2,7,8,1,4,5]=>[6,7,1,3,2,4,8,5]
[3,5,2,7,1,8,4,6]=>[7,1,2,8,3,5,4,6]
[3,4,2,1,7,8,5,6]=>[1,2,7,3,5,8,4,6]
[3,4,1,2,7,8,6,5]=>[1,2,5,8,7,3,4,6]
[3,5,2,7,1,8,6,4]=>[2,8,1,7,3,5,4,6]
[3,6,2,7,8,1,5,4]=>[8,6,1,3,2,4,7,5]
[3,6,2,7,8,5,1,4]=>[7,4,1,2,8,3,6,5]
[3,6,2,7,8,5,4,1]=>[4,2,8,1,7,3,6,5]
[4,6,7,2,8,5,3,1]=>[2,8,1,7,4,3,6,5]
[4,6,7,2,8,5,1,3]=>[7,1,2,8,4,3,6,5]
[4,6,7,2,8,1,5,3]=>[8,1,4,2,6,3,7,5]
[4,5,7,2,1,8,6,3]=>[1,2,8,4,7,5,3,6]
[4,5,7,1,2,8,6,3]=>[1,2,8,7,4,5,3,6]
[3,5,1,7,2,8,6,4]=>[2,8,1,7,5,3,4,6]
[2,1,5,7,3,8,6,4]=>[8,3,7,1,5,2,4,6]
[2,1,6,7,8,3,5,4]=>[3,8,6,1,4,7,2,5]
[3,6,1,7,8,2,5,4]=>[8,6,1,4,2,7,3,5]
[4,6,7,1,8,2,5,3]=>[8,1,6,2,7,4,3,5]
[5,6,7,8,1,2,4,3]=>[1,8,5,2,6,3,7,4]
[5,6,7,8,2,1,4,3]=>[1,5,2,8,6,3,7,4]
[5,6,7,8,2,4,1,3]=>[1,5,2,7,3,8,6,4]
[5,6,7,8,2,4,3,1]=>[1,2,8,5,3,7,6,4]
[5,6,7,8,1,4,2,3]=>[1,7,2,8,5,3,6,4]
[4,6,7,1,8,5,2,3]=>[7,1,2,8,6,4,3,5]
[3,6,1,7,8,5,2,4]=>[7,4,1,2,8,6,3,5]
[2,1,6,7,8,5,3,4]=>[3,7,4,8,1,6,2,5]
[3,6,1,7,8,5,4,2]=>[4,2,8,1,7,6,3,5]
[4,6,7,1,8,5,3,2]=>[2,8,1,7,6,4,3,5]
[5,6,7,8,1,4,3,2]=>[1,2,8,7,5,3,6,4]
[5,6,7,8,4,1,3,2]=>[1,2,8,6,3,7,5,4]
[6,5,8,7,3,4,1,2]=>[2,1,7,5,8,6,4,3]
[3,6,7,4,5,8,1,2]=>[4,2,7,1,5,3,8,6]
[2,6,7,4,5,1,8,3]=>[4,2,8,6,1,5,3,7]
[1,6,7,4,5,2,3,8]=>[6,4,2,7,5,1,3,8]
[1,5,4,7,6,2,3,8]=>[3,2,6,7,5,1,4,8]
[2,5,4,7,6,1,8,3]=>[2,8,3,6,1,5,4,7]
[3,5,4,7,6,8,1,2]=>[2,7,1,3,5,4,8,6]
[4,5,3,7,8,6,1,2]=>[1,2,7,3,4,8,6,5]
[5,4,3,8,7,6,1,2]=>[2,1,7,8,3,6,5,4]
[6,4,8,3,7,5,1,2]=>[2,4,1,7,8,6,5,3]
[6,3,8,4,5,7,1,2]=>[4,7,2,1,5,8,6,3]
[5,3,4,8,6,7,1,2]=>[7,2,1,3,5,8,6,4]
[4,3,5,6,8,7,1,2]=>[2,1,3,4,7,8,6,5]
[3,2,5,6,1,8,7,4]=>[1,3,4,8,2,7,5,6]
[4,2,5,6,8,1,7,3]=>[3,1,4,8,2,6,7,5]
[5,2,4,8,6,1,7,3]=>[8,3,1,6,2,5,7,4]
[6,2,8,4,5,1,7,3]=>[4,8,6,2,1,5,7,3]
[7,8,2,4,5,1,6,3]=>[4,8,3,6,5,1,7,2]
[7,8,1,4,5,2,3,6]=>[6,4,7,3,5,1,8,2]
[6,1,8,4,5,2,3,7]=>[6,4,7,5,1,8,2,3]
[5,1,4,8,6,2,3,7]=>[3,6,1,7,5,8,2,4]
[4,1,3,2,8,6,5,7]=>[7,3,1,6,8,2,4,5]
[5,1,3,8,2,6,4,7]=>[7,3,5,1,6,8,2,4]
[6,1,8,3,2,5,4,7]=>[4,7,5,6,1,8,2,3]
[7,8,1,3,2,5,4,6]=>[4,7,3,5,6,1,8,2]
[7,8,2,3,1,5,6,4]=>[3,4,6,8,5,1,7,2]
[6,2,8,3,1,5,7,4]=>[4,6,8,2,1,5,7,3]
[5,2,3,8,1,6,7,4]=>[6,8,2,1,3,5,7,4]
[6,3,8,2,1,7,5,4]=>[8,2,4,1,7,5,6,3]
[7,8,3,2,1,6,5,4]=>[3,8,4,7,5,1,6,2]
[7,8,4,2,6,1,5,3]=>[8,4,3,6,1,7,5,2]
[5,4,2,8,7,1,6,3]=>[2,1,8,6,7,3,5,4]
[4,5,2,7,8,1,6,3]=>[1,2,8,6,3,4,7,5]
[2,5,3,7,1,6,8,4]=>[6,2,8,1,3,5,4,7]
[1,5,3,7,2,6,4,8]=>[7,3,2,5,6,1,4,8]
[1,6,7,3,2,5,4,8]=>[4,7,5,2,6,1,3,8]
[2,6,7,3,1,5,8,4]=>[4,6,2,8,1,5,3,7]
[3,6,7,2,1,8,5,4]=>[8,4,1,2,7,5,3,6]
[7,8,5,6,2,1,4,3]=>[5,8,6,3,1,7,4,2]
[6,5,8,7,1,2,3,4]=>[5,6,2,1,7,8,4,3]
[5,4,1,8,7,2,3,6]=>[6,2,1,7,8,5,3,4]
[6,4,8,1,7,2,3,5]=>[6,2,7,1,8,4,5,3]
[7,8,3,1,2,6,4,5]=>[7,3,8,4,5,1,6,2]
[5,3,1,8,2,7,4,6]=>[2,7,1,8,5,6,3,4]
[4,3,1,2,8,7,5,6]=>[2,1,7,8,6,3,4,5]
[4,2,1,3,8,5,7,6]=>[8,2,1,6,7,3,4,5]
[5,2,1,8,3,4,7,6]=>[8,2,5,1,6,7,3,4]
[6,2,8,1,3,4,7,5]=>[8,2,4,5,1,6,7,3]
[7,8,2,1,3,4,6,5]=>[3,8,4,5,6,1,7,2]
[4,3,1,2,6,5,8,7]=>[5,2,1,8,3,4,6,7]
[5,3,1,6,2,4,8,7]=>[2,8,5,3,1,4,6,7]
[6,3,1,5,2,4,8,7]=>[2,8,5,3,4,1,6,7]
[7,3,1,5,2,8,4,6]=>[2,7,4,8,3,5,1,6]
[8,4,5,1,2,7,3,6]=>[7,2,8,4,3,5,6,1]
[7,4,5,1,2,8,3,6]=>[7,2,8,4,3,5,1,6]
[6,4,5,1,2,3,8,7]=>[8,4,2,5,3,1,6,7]
[5,4,6,1,2,3,8,7]=>[8,4,2,1,5,3,6,7]
[2,1,6,5,3,4,8,7]=>[8,5,1,4,2,3,6,7]
[3,6,1,5,2,4,8,7]=>[8,1,5,3,4,2,6,7]
[4,6,5,1,2,3,8,7]=>[1,8,4,5,3,2,6,7]
[5,6,4,1,2,3,8,7]=>[8,4,1,5,3,2,6,7]
[6,5,4,1,2,3,8,7]=>[8,4,5,3,2,1,6,7]
[7,5,4,1,2,8,3,6]=>[7,8,4,3,2,5,1,6]
[8,6,4,1,7,2,3,5]=>[6,7,3,8,4,2,5,1]
[7,6,4,1,8,2,3,5]=>[6,7,3,8,4,2,1,5]
[6,7,4,1,8,2,3,5]=>[6,7,3,1,8,4,2,5]
[5,7,4,1,2,8,3,6]=>[7,1,8,4,3,5,2,6]
[4,7,5,1,2,8,3,6]=>[1,7,8,4,3,5,2,6]
[3,7,1,5,2,8,4,6]=>[7,1,4,8,3,5,2,6]
[2,1,7,5,3,8,4,6]=>[7,4,8,1,5,2,3,6]
[2,1,8,5,3,7,4,6]=>[7,4,8,1,5,6,2,3]
[3,8,1,5,2,7,4,6]=>[7,1,4,8,3,5,6,2]
[4,8,5,1,2,7,3,6]=>[1,7,8,4,3,5,6,2]
[5,8,4,1,2,7,3,6]=>[7,1,8,4,3,5,6,2]
[6,8,4,1,7,2,3,5]=>[6,7,3,1,8,4,5,2]
[8,7,4,1,6,2,3,5]=>[6,7,3,8,4,5,2,1]
[5,8,6,7,1,2,3,4]=>[5,1,6,7,3,8,4,2]
[4,8,6,1,7,2,3,5]=>[1,6,7,8,4,3,5,2]
[3,8,1,6,7,2,4,5]=>[6,7,1,4,8,3,5,2]
[2,1,8,6,7,3,4,5]=>[6,7,4,8,1,5,2,3]
[2,1,7,6,8,3,4,5]=>[6,7,4,1,3,8,2,5]
[3,7,1,6,8,2,4,5]=>[6,7,1,4,8,3,2,5]
[4,7,6,1,8,2,3,5]=>[1,6,7,8,4,3,2,5]
[5,7,6,8,1,2,3,4]=>[5,1,6,7,3,2,8,4]
[5,4,7,1,2,8,3,6]=>[7,2,1,8,4,5,3,6]
[6,4,7,1,8,2,3,5]=>[6,2,7,1,8,4,3,5]
[7,4,6,1,8,2,3,5]=>[6,2,7,8,4,3,1,5]
[8,4,6,1,7,2,3,5]=>[6,2,7,8,4,3,5,1]
[8,3,1,6,7,2,4,5]=>[2,6,7,4,8,3,5,1]
[7,3,1,6,8,2,4,5]=>[2,6,7,4,8,3,1,5]
[6,3,1,7,8,2,4,5]=>[2,6,7,4,1,8,3,5]
[5,3,1,7,2,8,4,6]=>[2,7,1,8,5,3,4,6]
[4,3,1,2,7,8,5,6]=>[2,1,7,5,8,3,4,6]
[2,1,4,3,8,7,5,6]=>[7,8,1,3,6,2,4,5]
[3,4,1,2,8,7,5,6]=>[1,2,7,8,6,3,4,5]
[6,3,1,8,7,2,4,5]=>[2,6,7,1,8,5,3,4]
[7,3,1,8,6,2,4,5]=>[2,6,7,8,5,3,1,4]
[8,4,7,1,6,2,3,5]=>[6,2,7,8,4,5,3,1]
[7,4,8,1,6,2,3,5]=>[6,2,7,8,4,1,5,3]
[5,4,8,1,2,7,3,6]=>[7,2,1,8,4,5,6,3]
[4,5,8,1,2,7,3,6]=>[1,7,2,8,4,5,6,3]
[3,5,1,8,2,7,4,6]=>[7,1,2,8,5,6,3,4]
[2,1,5,8,3,7,4,6]=>[3,7,8,1,5,6,2,4]
[2,1,6,8,7,3,4,5]=>[6,3,7,8,1,5,2,4]
[3,6,1,8,7,2,4,5]=>[6,7,1,2,8,5,3,4]
[4,6,8,1,7,2,3,5]=>[1,6,7,2,8,4,5,3]
[5,6,8,7,1,2,3,4]=>[5,1,6,2,7,8,4,3]
[7,5,8,6,1,2,3,4]=>[5,6,2,7,1,8,4,3]
[8,5,7,6,1,2,3,4]=>[5,6,2,7,8,4,3,1]
[5,7,8,6,1,2,3,4]=>[5,1,6,7,2,8,4,3]
[4,7,8,1,6,2,3,5]=>[1,6,7,8,4,2,5,3]
[3,7,1,8,6,2,4,5]=>[6,7,8,1,5,3,2,4]
[2,1,7,8,6,3,4,5]=>[6,7,3,8,1,5,2,4]
[2,1,8,7,6,3,4,5]=>[6,7,8,5,1,4,2,3]
[3,8,1,7,6,2,4,5]=>[6,7,8,1,5,3,4,2]
[4,8,7,1,6,2,3,5]=>[1,6,7,8,4,5,3,2]
[5,8,7,6,1,2,3,4]=>[5,1,6,7,8,4,3,2]
[6,8,7,5,1,2,3,4]=>[5,6,1,7,8,4,3,2]
[6,4,7,3,8,5,1,2]=>[2,4,1,7,3,8,6,5]
[6,4,7,3,5,8,1,2]=>[2,4,1,7,5,3,8,6]
[6,4,7,2,5,1,8,3]=>[2,8,4,1,6,5,3,7]
[5,4,2,7,6,1,3,8]=>[6,2,1,7,3,5,4,8]
[5,4,2,7,6,1,8,3]=>[2,1,8,6,3,5,4,7]
[5,4,3,7,6,8,1,2]=>[2,1,7,3,5,4,8,6]
[5,4,3,7,8,6,1,2]=>[2,1,7,3,4,8,6,5]
[6,4,8,3,5,7,1,2]=>[2,4,1,7,5,8,6,3]
[5,4,3,8,6,7,1,2]=>[2,1,7,3,5,8,6,4]
[5,4,3,6,8,7,1,2]=>[3,2,1,4,7,8,6,5]
[5,4,2,6,7,1,8,3]=>[4,2,1,8,3,6,5,7]
[5,4,2,6,7,1,3,8]=>[6,3,2,1,4,7,5,8]
[5,3,2,6,1,7,4,8]=>[2,7,3,1,5,4,6,8]
[5,3,2,6,1,7,8,4]=>[2,6,3,1,4,8,5,7]
[5,3,2,6,1,8,7,4]=>[2,4,1,8,3,7,5,6]
[5,4,2,6,8,1,7,3]=>[4,2,1,8,3,6,7,5]
[5,4,2,8,6,1,7,3]=>[2,1,8,6,3,5,7,4]
[6,4,8,2,5,1,7,3]=>[2,8,4,1,6,5,7,3]
[7,8,4,2,5,1,6,3]=>[8,4,3,6,5,1,7,2]
[7,8,4,2,5,1,3,6]=>[4,6,3,7,5,1,8,2]
[5,4,2,8,6,1,3,7]=>[6,2,1,7,3,5,8,4]
[5,3,2,6,1,8,4,7]=>[2,7,3,1,4,8,5,6]
[4,3,2,1,6,8,5,7]=>[3,2,1,5,7,8,4,6]
[4,3,2,1,8,6,5,7]=>[2,1,7,3,6,8,4,5]
[5,3,2,8,1,6,4,7]=>[2,7,3,1,5,6,8,4]
[6,3,8,2,1,5,4,7]=>[2,4,7,5,1,6,8,3]
[7,8,3,2,1,5,4,6]=>[4,3,7,5,6,1,8,2]
[7,8,3,2,1,5,6,4]=>[4,3,6,8,5,1,7,2]
[6,3,8,2,1,5,7,4]=>[2,4,6,1,8,5,7,3]
[5,3,2,8,1,6,7,4]=>[2,6,1,8,3,5,7,4]
[5,4,2,7,8,1,6,3]=>[2,1,8,6,3,4,7,5]
[5,3,2,7,1,8,6,4]=>[8,2,1,7,3,5,4,6]
[5,3,2,7,1,6,8,4]=>[2,6,1,8,3,5,4,7]
[5,3,2,7,1,6,4,8]=>[2,7,3,1,5,6,4,8]
[6,3,7,2,1,5,4,8]=>[2,4,7,5,1,6,3,8]
[6,3,7,2,1,5,8,4]=>[2,4,6,1,8,5,3,7]
[6,3,7,2,1,8,5,4]=>[8,2,4,1,7,5,3,6]
[6,4,7,2,8,1,5,3]=>[2,8,4,1,6,3,7,5]
[6,5,7,8,2,1,4,3]=>[5,2,1,8,6,3,7,4]
[6,5,8,7,2,1,3,4]=>[6,5,2,1,7,8,4,3]
[6,3,7,2,1,8,4,5]=>[2,4,7,1,8,5,3,6]
[6,3,7,2,1,4,8,5]=>[2,4,8,5,1,6,3,7]
[6,3,7,2,1,4,5,8]=>[2,5,4,6,1,7,3,8]
[5,3,2,7,1,4,8,6]=>[2,8,3,1,5,6,4,7]
[5,4,2,8,7,1,3,6]=>[6,2,1,7,8,3,5,4]
[7,8,4,2,6,1,3,5]=>[4,6,3,7,1,8,5,2]
[7,8,3,2,1,6,4,5]=>[4,3,7,8,5,1,6,2]
[6,3,8,2,1,7,4,5]=>[2,4,7,1,8,5,6,3]
[5,3,2,8,1,7,4,6]=>[2,7,1,8,3,5,6,4]
[4,3,2,1,8,7,5,6]=>[2,1,7,8,3,6,4,5]
[4,3,2,1,7,5,8,6]=>[2,1,8,3,6,4,5,7]
[4,3,2,1,7,5,6,8]=>[3,2,1,6,7,4,5,8]
[4,3,2,1,8,5,7,6]=>[2,1,8,3,6,7,4,5]
[5,3,2,8,1,4,7,6]=>[2,8,3,1,5,6,7,4]
[6,3,8,2,1,4,7,5]=>[2,4,8,5,1,6,7,3]
[7,8,3,2,1,4,6,5]=>[4,3,8,5,6,1,7,2]
[6,3,8,2,1,4,5,7]=>[2,5,4,6,1,7,8,3]
[4,3,2,1,8,5,6,7]=>[3,2,1,6,7,8,4,5]
[4,3,2,1,5,8,6,7]=>[3,2,1,7,8,4,5,6]
[7,8,5,6,1,2,4,3]=>[8,5,6,3,1,7,4,2]
[7,8,4,1,6,2,5,3]=>[8,6,3,7,4,1,5,2]
[7,8,1,4,6,2,5,3]=>[4,8,6,7,3,1,5,2]
[6,1,8,4,7,2,5,3]=>[4,8,6,1,7,5,2,3]
[1,6,8,4,7,2,5,3]=>[4,2,8,6,7,5,1,3]
[1,6,8,3,2,7,5,4]=>[8,4,2,7,5,6,1,3]
[6,1,8,3,2,7,5,4]=>[8,4,7,5,1,6,2,3]
[7,8,1,3,2,6,5,4]=>[8,4,7,3,5,1,6,2]
[7,8,3,1,2,6,5,4]=>[3,8,7,4,5,1,6,2]
[7,8,3,4,6,5,1,2]=>[3,4,7,1,8,6,5,2]
[7,8,2,4,6,1,5,3]=>[4,8,3,6,1,7,5,2]
[7,8,2,3,1,6,5,4]=>[8,3,4,7,5,1,6,2]
[7,8,2,1,3,6,5,4]=>[8,3,7,4,5,1,6,2]
[7,8,1,2,3,6,5,4]=>[8,7,3,4,5,1,6,2]
[6,1,8,2,3,7,5,4]=>[8,7,4,5,1,6,2,3]
[1,6,8,2,3,7,5,4]=>[8,7,4,2,5,6,1,3]
[1,5,2,8,3,7,6,4]=>[2,8,7,5,6,1,3,4]
[5,1,2,8,3,7,6,4]=>[8,7,5,1,6,2,3,4]
[5,2,1,8,3,7,6,4]=>[8,7,2,1,5,6,3,4]
[6,2,8,1,3,7,5,4]=>[8,7,2,4,1,5,6,3]
[6,2,8,3,1,7,5,4]=>[8,4,7,2,1,5,6,3]
[6,2,8,4,7,1,5,3]=>[4,8,6,1,7,2,5,3]
[6,3,8,4,7,5,1,2]=>[4,7,1,8,2,6,5,3]
[3,6,8,4,7,5,1,2]=>[4,2,7,8,1,6,5,3]
[2,6,8,4,7,1,5,3]=>[4,2,8,6,7,1,5,3]
[2,6,8,3,1,7,5,4]=>[8,4,2,7,1,5,6,3]
[2,6,8,1,3,7,5,4]=>[8,7,4,1,2,5,6,3]
[2,5,1,8,3,7,6,4]=>[2,8,7,1,5,6,3,4]
[1,2,5,8,3,7,6,4]=>[8,3,7,5,6,1,2,4]
[2,4,1,3,8,7,6,5]=>[8,2,7,1,6,3,4,5]
[2,5,3,8,1,7,6,4]=>[2,8,7,1,3,5,6,4]
[2,5,4,8,7,1,6,3]=>[2,8,3,6,7,1,5,4]
[3,5,4,8,7,6,1,2]=>[2,7,8,1,3,6,5,4]
[5,3,4,8,7,6,1,2]=>[7,1,8,2,3,6,5,4]
[5,2,4,8,7,1,6,3]=>[8,3,1,6,7,2,5,4]
[5,2,3,8,1,7,6,4]=>[8,7,2,1,3,5,6,4]
[4,2,1,3,8,7,6,5]=>[1,8,7,2,6,3,4,5]
[4,1,2,3,8,7,6,5]=>[1,8,7,6,2,3,4,5]
[1,4,2,3,8,7,6,5]=>[8,2,7,6,1,3,4,5]
[4,1,3,2,8,7,6,5]=>[1,8,7,3,6,2,4,5]
[4,3,1,2,8,7,6,5]=>[1,8,2,7,6,3,4,5]
[6,3,8,1,2,7,5,4]=>[8,2,7,4,1,5,6,3]
[5,3,1,8,2,7,6,4]=>[8,2,1,7,5,6,3,4]
[5,1,3,8,2,7,6,4]=>[8,7,3,1,5,6,2,4]
[1,5,3,8,2,7,6,4]=>[2,8,7,3,5,6,1,4]
[1,5,4,8,7,2,6,3]=>[2,8,3,6,7,5,1,4]
[5,1,4,8,7,2,6,3]=>[8,3,1,6,7,5,2,4]
[5,4,1,8,7,2,6,3]=>[2,1,8,6,7,5,3,4]
[6,4,8,1,7,2,5,3]=>[2,8,6,1,7,4,5,3]
[6,5,8,7,1,2,4,3]=>[8,5,2,1,6,7,4,3]
[5,6,8,7,3,4,1,2]=>[1,2,7,5,8,6,4,3]
[5,6,8,7,2,1,4,3]=>[1,5,2,8,6,7,4,3]
[4,5,1,8,7,2,6,3]=>[1,2,8,6,7,5,3,4]
[4,1,5,8,7,2,6,3]=>[1,8,3,6,7,5,2,4]
[1,4,5,8,7,2,6,3]=>[8,2,3,6,7,5,1,4]
[1,3,5,8,2,7,6,4]=>[8,3,7,2,5,6,1,4]
[3,1,5,8,2,7,6,4]=>[8,1,3,7,5,6,2,4]
[3,6,8,1,2,7,5,4]=>[8,7,1,4,2,5,6,3]
[3,6,8,2,1,7,5,4]=>[8,4,1,2,7,5,6,3]
[4,6,8,2,7,1,5,3]=>[8,1,4,2,6,7,5,3]
[4,6,8,3,7,5,1,2]=>[4,1,2,7,8,6,5,3]
[4,5,3,8,7,6,1,2]=>[1,2,7,8,3,6,5,4]
[4,5,2,8,7,1,6,3]=>[1,2,8,6,7,3,5,4]
[3,5,2,8,1,7,6,4]=>[2,8,1,7,3,5,6,4]
[3,1,4,2,8,7,6,5]=>[8,1,7,3,6,2,4,5]
[3,1,2,4,8,7,6,5]=>[8,1,7,6,2,3,4,5]
[3,2,5,8,1,7,6,4]=>[8,1,3,7,2,5,6,4]
[4,2,5,8,7,1,6,3]=>[1,8,3,6,7,2,5,4]
[4,3,5,8,7,6,1,2]=>[1,7,8,2,3,6,5,4]
[3,4,5,8,7,6,1,2]=>[7,8,1,2,3,6,5,4]
[2,4,5,8,7,1,6,3]=>[8,2,3,6,7,1,5,4]
[2,3,5,8,1,7,6,4]=>[8,3,7,1,2,5,6,4]
[4,1,3,2,6,5,8,7]=>[3,5,1,8,2,4,6,7]
[5,1,3,2,6,4,8,7]=>[3,5,8,2,1,4,6,7]
[6,1,3,2,5,4,8,7]=>[3,5,8,2,4,1,6,7]
[7,1,3,2,5,4,8,6]=>[3,5,8,2,4,6,1,7]
[8,1,3,2,5,4,7,6]=>[3,5,8,2,4,6,7,1]
[8,1,4,2,5,3,7,6]=>[5,3,8,2,4,6,7,1]
[7,1,4,2,5,3,8,6]=>[5,3,8,2,4,6,1,7]
[6,1,4,2,5,3,8,7]=>[5,3,8,2,4,1,6,7]
[5,1,4,2,6,3,8,7]=>[5,3,8,2,1,4,6,7]
[2,1,6,3,5,4,8,7]=>[5,8,1,4,2,3,6,7]
[3,1,6,2,5,4,8,7]=>[1,5,8,4,2,3,6,7]
[4,1,6,2,5,3,8,7]=>[5,1,8,4,2,3,6,7]
[6,2,5,1,4,3,8,7]=>[5,8,2,4,3,1,6,7]
[5,2,6,1,4,3,8,7]=>[5,8,2,1,4,3,6,7]
[5,2,7,1,4,3,8,6]=>[5,8,2,1,4,6,3,7]
[5,2,8,1,4,3,7,6]=>[5,8,2,1,4,6,7,3]
[6,2,8,1,4,3,7,5]=>[5,8,2,4,1,6,7,3]
[6,2,7,1,4,3,8,5]=>[5,8,2,4,1,6,3,7]
[7,2,6,1,4,3,8,5]=>[5,8,2,4,6,3,1,7]
[7,2,5,1,4,3,8,6]=>[5,8,2,4,3,6,1,7]
[4,1,7,2,5,3,8,6]=>[5,1,8,4,6,2,3,7]
[3,1,7,2,5,4,8,6]=>[1,5,8,4,6,2,3,7]
[2,1,7,3,5,4,8,6]=>[5,8,1,4,6,2,3,7]
[2,1,8,3,5,4,7,6]=>[5,8,1,4,6,7,2,3]
[3,1,8,2,5,4,7,6]=>[1,5,8,4,6,7,2,3]
[4,1,8,2,5,3,7,6]=>[5,1,8,4,6,7,2,3]
[8,2,5,1,4,3,7,6]=>[5,8,2,4,3,6,7,1]
[8,2,6,1,4,3,7,5]=>[5,8,2,4,6,3,7,1]
[7,1,4,3,8,2,6,5]=>[3,8,4,6,7,2,1,5]
[8,1,4,3,7,2,6,5]=>[3,8,4,6,7,2,5,1]
[8,1,5,3,7,2,6,4]=>[8,4,3,6,7,2,5,1]
[7,1,5,3,8,2,6,4]=>[8,4,3,6,7,2,1,5]
[8,2,6,1,5,3,7,4]=>[8,6,2,4,5,3,7,1]
[5,1,8,2,6,3,7,4]=>[8,6,4,1,5,7,2,3]
[4,1,8,2,6,3,7,5]=>[1,8,6,4,5,7,2,3]
[3,1,8,2,6,4,7,5]=>[8,1,6,4,5,7,2,3]
[2,1,8,3,6,4,7,5]=>[8,6,1,4,5,7,2,3]
[2,1,7,3,6,4,8,5]=>[8,6,1,4,5,2,3,7]
[4,1,7,2,6,3,8,5]=>[1,8,6,4,5,2,3,7]
[5,1,7,2,6,3,8,4]=>[8,6,4,1,5,2,3,7]
[7,2,6,1,5,3,8,4]=>[8,6,2,4,5,3,1,7]
[6,2,7,1,5,3,8,4]=>[8,6,2,4,1,5,3,7]
[6,2,8,1,5,3,7,4]=>[8,6,2,4,1,5,7,3]
[8,1,5,2,6,3,7,4]=>[8,6,4,2,3,5,7,1]
[6,1,5,2,7,3,8,4]=>[8,6,4,2,3,1,5,7]
[6,1,4,2,7,3,8,5]=>[3,8,6,2,4,1,5,7]
[8,1,4,2,6,3,7,5]=>[3,8,6,2,4,5,7,1]
[8,1,3,2,6,4,7,5]=>[8,3,6,2,4,5,7,1]
[7,1,3,2,6,4,8,5]=>[8,3,6,2,4,5,1,7]
[6,1,3,2,7,4,8,5]=>[8,3,6,2,4,1,5,7]
[5,1,3,2,7,4,8,6]=>[8,3,6,2,1,4,5,7]
[4,1,3,2,7,5,8,6]=>[8,3,1,6,2,4,5,7]
[2,1,4,3,8,5,7,6]=>[8,1,3,6,7,2,4,5]
[3,1,4,2,8,5,7,6]=>[1,8,3,6,7,2,4,5]
[4,1,3,2,8,5,7,6]=>[8,3,1,6,7,2,4,5]
[5,1,3,2,8,4,7,6]=>[8,3,6,1,7,2,4,5]
[6,1,3,2,8,4,7,5]=>[8,3,6,7,2,1,4,5]
[8,4,7,1,3,2,6,5]=>[5,2,8,4,6,7,3,1]
[7,4,8,1,3,2,6,5]=>[5,2,8,4,6,1,7,3]
[7,3,8,1,4,2,6,5]=>[2,5,8,4,6,1,7,3]
[8,3,7,1,4,2,6,5]=>[2,5,8,4,6,7,3,1]
[6,1,4,2,8,3,7,5]=>[3,8,6,7,2,1,4,5]
[5,1,4,2,8,3,7,6]=>[3,8,6,1,7,2,4,5]
[4,1,5,2,8,3,7,6]=>[3,1,8,6,7,2,4,5]
[3,1,5,2,8,4,7,6]=>[1,3,8,6,7,2,4,5]
[2,1,5,3,8,4,7,6]=>[3,8,1,6,7,2,4,5]
[2,1,6,3,8,4,7,5]=>[8,6,1,3,7,2,4,5]
[3,1,6,2,8,4,7,5]=>[8,1,6,3,7,2,4,5]
[4,1,6,2,8,3,7,5]=>[1,8,6,3,7,2,4,5]
[5,1,6,2,8,3,7,4]=>[8,6,3,1,7,2,4,5]
[6,1,5,2,8,3,7,4]=>[8,6,3,7,2,1,4,5]
[8,3,7,1,5,2,6,4]=>[8,2,6,4,5,7,3,1]
[7,3,8,1,5,2,6,4]=>[8,2,6,4,5,1,7,3]
[6,2,7,3,8,1,5,4]=>[8,4,6,2,1,3,7,5]
[6,2,8,3,7,1,5,4]=>[8,4,6,1,7,2,5,3]
[8,3,7,2,6,1,5,4]=>[8,2,4,6,7,5,3,1]
[5,1,8,3,7,2,6,4]=>[8,4,1,6,7,5,2,3]
[4,1,8,3,7,2,6,5]=>[1,8,4,6,7,5,2,3]
[3,1,8,4,7,2,6,5]=>[8,1,4,6,7,5,2,3]
[2,1,8,4,7,3,6,5]=>[8,4,6,7,1,5,2,3]
[2,1,7,4,8,3,6,5]=>[8,4,6,1,3,7,2,5]
[3,1,7,4,8,2,6,5]=>[8,1,4,6,3,7,2,5]
[4,1,7,3,8,2,6,5]=>[1,8,4,6,3,7,2,5]
[5,1,7,3,8,2,6,4]=>[8,4,1,6,3,7,2,5]
[7,3,8,2,6,1,5,4]=>[8,2,4,6,1,7,5,3]
[8,2,6,3,7,1,5,4]=>[8,4,6,2,3,7,5,1]
[7,2,6,3,8,1,5,4]=>[8,4,6,2,3,1,7,5]
[3,4,2,6,8,1,5,7]=>[1,2,6,3,4,7,8,5]
[5,3,6,2,8,1,4,7]=>[2,4,1,6,3,7,8,5]
[5,3,6,2,4,8,1,7]=>[2,4,1,5,3,7,8,6]
[5,7,3,8,2,4,1,6]=>[3,1,5,7,6,2,8,4]
[5,7,3,8,2,4,6,1]=>[3,1,5,6,2,8,7,4]
[7,4,2,5,8,3,6,1]=>[4,2,6,8,3,1,7,5]
[7,4,2,5,8,3,1,6]=>[4,2,7,3,6,1,8,5]
[4,5,2,6,3,8,1,7]=>[1,5,3,2,4,7,8,6]
[4,5,2,1,6,8,3,7]=>[3,1,5,2,7,8,4,6]
[5,3,1,6,8,2,4,7]=>[2,6,4,1,7,8,3,5]
[5,6,2,8,1,3,4,7]=>[3,5,1,6,2,7,8,4]
[3,5,6,1,4,8,2,7]=>[5,1,2,7,3,8,4,6]
[4,1,5,6,3,8,2,7]=>[3,1,5,4,7,8,2,6]
[4,5,1,6,3,8,2,7]=>[1,5,4,2,7,8,3,6]
[4,5,6,3,2,8,1,7]=>[1,2,5,4,3,7,8,6]
[7,4,5,3,8,2,1,6]=>[2,4,3,7,6,1,8,5]
[7,4,5,3,8,2,6,1]=>[2,4,3,6,1,8,7,5]
[6,7,4,8,3,2,5,1]=>[3,1,6,5,2,8,7,4]
[6,7,4,8,3,2,1,5]=>[3,1,7,6,5,2,8,4]
[6,7,4,1,8,3,2,5]=>[7,6,3,1,8,4,2,5]
[7,4,5,3,1,8,2,6]=>[2,7,4,3,8,5,1,6]
[4,7,1,5,8,3,2,6]=>[1,4,7,6,8,3,2,5]
[5,3,7,8,1,4,2,6]=>[7,2,1,5,6,3,8,4]
[7,5,8,2,4,6,1,3]=>[7,4,2,5,1,8,6,3]
[7,3,5,8,1,4,6,2]=>[6,2,3,8,5,1,7,4]
[4,5,1,7,8,3,6,2]=>[1,2,6,4,8,7,3,5]
[7,4,1,5,8,3,6,2]=>[4,2,6,8,7,3,1,5]
[6,7,4,3,8,1,5,2]=>[4,3,1,8,6,2,7,5]
[6,7,4,8,3,1,5,2]=>[3,1,8,6,5,2,7,4]
[6,7,4,8,3,5,2,1]=>[3,1,5,2,8,7,6,4]
[5,6,7,3,8,4,2,1]=>[1,2,8,4,3,7,6,5]
[5,6,7,3,1,8,4,2]=>[1,4,2,8,7,5,3,6]
[5,6,1,7,3,8,4,2]=>[1,8,5,4,2,7,3,6]
[5,1,6,7,3,8,4,2]=>[3,1,8,5,4,7,2,6]
[6,4,7,1,8,3,5,2]=>[2,6,1,8,7,4,3,5]
[6,7,8,3,1,4,5,2]=>[6,4,1,8,5,2,7,3]
[6,7,2,8,4,5,1,3]=>[7,5,1,8,3,2,6,4]
[6,7,2,8,4,1,3,5]=>[6,7,3,1,5,2,8,4]
[6,1,7,4,8,3,2,5]=>[4,7,6,3,1,8,2,5]
[5,1,6,7,3,2,8,4]=>[5,3,1,8,6,2,4,7]
[5,6,1,7,3,2,8,4]=>[5,1,8,6,3,2,4,7]
[5,6,7,3,2,1,8,4]=>[1,5,4,2,8,6,3,7]
[5,6,7,3,2,8,4,1]=>[1,4,2,8,5,3,7,6]
[5,6,2,7,3,8,4,1]=>[1,8,5,3,2,4,7,6]
[5,6,2,7,3,1,8,4]=>[5,1,8,3,2,6,4,7]
[5,6,2,1,7,3,8,4]=>[8,3,1,6,4,2,5,7]
[6,1,7,4,2,8,3,5]=>[7,4,8,5,2,1,3,6]
[6,7,2,1,8,3,4,5]=>[3,6,7,1,8,4,2,5]
[7,5,8,2,1,3,4,6]=>[5,4,6,2,7,1,8,3]
[5,7,3,1,8,2,4,6]=>[6,3,1,7,8,4,2,5]
[4,7,1,5,2,8,3,6]=>[1,7,4,8,3,5,2,6]
[7,4,2,5,1,8,3,6]=>[7,3,2,4,8,5,1,6]
[6,7,4,2,1,8,3,5]=>[4,7,3,1,8,5,2,6]
[6,7,4,2,8,3,1,5]=>[7,4,3,1,6,2,8,5]
[6,7,4,2,8,3,5,1]=>[6,3,1,8,4,2,7,5]
[3,6,7,2,8,4,5,1]=>[6,2,8,1,4,3,7,5]
[3,6,7,2,8,4,1,5]=>[7,4,1,2,6,3,8,5]
[3,6,7,2,1,8,4,5]=>[4,7,1,2,8,5,3,6]
[5,7,3,8,2,1,4,6]=>[3,1,6,5,7,2,8,4]
[3,4,7,8,2,1,5,6]=>[6,1,2,5,7,3,8,4]
[3,7,8,1,4,6,2,5]=>[5,7,8,1,4,2,6,3]
[3,4,7,8,2,6,1,5]=>[5,7,1,2,3,8,6,4]
[5,7,3,8,2,6,1,4]=>[3,1,5,7,2,8,6,4]
[3,6,7,2,8,5,1,4]=>[7,2,8,1,4,3,6,5]
[3,6,7,8,5,2,1,4]=>[2,7,6,1,3,8,5,4]
[3,6,7,8,5,2,4,1]=>[2,6,3,8,1,7,5,4]
[6,4,7,8,2,5,3,1]=>[8,2,1,5,3,7,6,4]
[6,4,7,8,2,1,5,3]=>[2,5,1,8,6,3,7,4]
[4,1,5,7,8,2,6,3]=>[1,8,3,6,4,7,2,5]
[5,3,7,8,1,6,2,4]=>[7,1,8,2,5,3,6,4]
[6,7,2,8,5,1,3,4]=>[6,7,1,8,3,2,5,4]
[6,4,1,7,8,2,5,3]=>[2,8,6,4,1,7,3,5]
[5,1,6,2,7,8,4,3]=>[5,3,1,8,7,2,4,6]
[5,6,2,1,7,8,4,3]=>[5,1,8,3,2,7,4,6]
[5,6,2,7,1,8,4,3]=>[1,8,7,3,2,5,4,6]
[5,6,2,7,8,4,3,1]=>[1,4,2,8,7,3,6,5]
[5,6,7,2,8,4,3,1]=>[1,2,8,7,4,3,6,5]
[5,6,7,2,1,8,4,3]=>[1,8,4,2,7,5,3,6]
[5,6,1,7,2,8,4,3]=>[1,8,7,5,3,2,4,6]
[5,1,6,7,2,8,4,3]=>[3,1,8,7,5,2,4,6]
[6,4,7,1,8,2,5,3]=>[2,8,6,1,7,4,3,5]
[3,6,7,1,8,5,2,4]=>[7,2,8,1,6,4,3,5]
[6,7,8,5,2,4,1,3]=>[5,1,7,2,8,6,4,3]
[6,7,8,3,5,1,4,2]=>[4,1,8,6,2,7,5,3]
[4,6,7,8,1,5,3,2]=>[2,8,1,7,5,3,6,4]
[5,1,6,7,8,4,3,2]=>[3,1,4,8,7,6,2,5]
[5,6,1,7,8,4,3,2]=>[1,4,2,8,7,6,3,5]
[5,6,7,1,8,4,3,2]=>[1,2,8,7,6,4,3,5]
[8,6,1,3,4,2,5,7]=>[4,6,3,5,7,2,8,1]
[8,3,2,5,1,6,4,7]=>[2,7,3,5,4,6,8,1]
[8,5,3,6,2,4,1,7]=>[3,5,2,7,6,4,8,1]
[5,3,2,7,4,1,8,6]=>[2,5,1,8,3,6,4,7]
[7,5,3,8,2,4,6,1]=>[3,5,2,6,1,8,7,4]
[7,2,4,5,8,3,6,1]=>[3,4,6,8,2,1,7,5]
[2,4,5,3,7,1,8,6]=>[2,3,8,1,4,6,5,7]
[8,2,4,5,6,3,1,7]=>[3,4,7,2,6,5,8,1]
[8,2,4,5,6,1,3,7]=>[3,6,2,4,7,5,8,1]
[8,1,2,4,5,6,3,7]=>[4,5,7,2,3,6,8,1]
[8,2,5,1,3,6,4,7]=>[7,2,4,5,3,6,8,1]
[8,5,6,2,1,4,3,7]=>[4,7,5,2,6,3,8,1]
[8,5,3,6,4,1,2,7]=>[3,6,2,7,5,4,8,1]
[8,4,1,5,6,3,2,7]=>[4,2,7,6,3,5,8,1]
[8,1,4,5,6,3,2,7]=>[3,4,7,6,2,5,8,1]
[4,5,3,7,2,1,8,6]=>[1,3,2,5,8,6,4,7]
[7,4,5,8,3,2,6,1]=>[2,3,6,5,1,8,7,4]
[4,3,6,7,2,8,5,1]=>[1,3,8,2,5,4,7,6]
[4,3,6,7,2,8,1,5]=>[1,5,2,3,7,4,8,6]
[1,4,3,6,7,2,8,5]=>[2,4,8,3,6,1,5,7]
[4,5,3,7,1,8,2,6]=>[1,3,2,7,8,5,4,6]
[4,1,5,3,7,2,8,6]=>[3,1,8,4,6,2,5,7]
[5,3,4,7,1,2,8,6]=>[2,3,1,8,5,6,4,7]
[7,5,8,2,1,4,6,3]=>[4,6,2,8,5,1,7,3]
[7,5,3,8,4,1,6,2]=>[8,3,2,6,5,1,7,4]
[7,4,5,8,3,6,1,2]=>[2,3,7,5,1,8,6,4]
[4,3,6,7,8,1,5,2]=>[1,3,8,2,6,4,7,5]
[1,6,4,7,8,3,5,2]=>[6,3,2,4,8,7,1,5]
[6,4,7,8,3,5,2,1]=>[5,2,1,3,8,7,6,4]
[3,5,6,7,8,4,1,2]=>[2,3,7,1,4,8,6,5]
[3,1,5,6,7,8,4,2]=>[1,3,4,5,8,7,2,6]
[4,6,1,7,8,3,5,2]=>[6,1,4,2,8,7,3,5]
[3,6,7,1,4,8,5,2]=>[8,5,1,2,7,4,3,6]
[6,2,4,1,7,8,5,3]=>[3,5,8,2,1,7,4,6]
[2,6,7,1,4,8,3,5]=>[5,7,2,8,1,4,3,6]
[4,3,6,7,8,1,2,5]=>[1,6,2,3,7,4,8,5]
[1,5,3,6,7,8,2,4]=>[4,2,7,3,5,8,1,6]
[3,5,6,7,8,2,1,4]=>[2,3,7,1,6,4,8,5]
[3,5,6,7,8,2,4,1]=>[2,3,6,1,4,8,7,5]
[5,2,7,1,3,8,4,6]=>[7,8,2,1,4,5,3,6]
[5,3,1,7,8,2,4,6]=>[2,6,1,7,4,8,3,5]
[4,5,2,7,8,1,3,6]=>[1,6,2,7,3,4,8,5]
[4,2,6,7,8,3,1,5]=>[1,3,7,6,2,4,8,5]
[4,2,6,7,8,3,5,1]=>[1,3,6,4,8,2,7,5]
[3,6,2,7,4,8,5,1]=>[8,5,1,3,2,4,7,6]
[3,6,2,7,4,8,1,5]=>[5,7,1,3,2,4,8,6]
[3,2,1,6,4,7,8,5]=>[1,6,2,4,8,3,5,7]
[3,7,4,2,1,5,8,6]=>[4,1,3,8,5,6,2,7]
[1,7,3,4,2,5,8,6]=>[3,4,8,5,6,1,2,7]
[4,7,2,1,3,5,8,6]=>[3,1,8,4,5,6,2,7]
[7,8,4,2,1,3,6,5]=>[4,8,5,3,6,1,7,2]
[7,8,1,3,4,2,6,5]=>[4,5,8,3,6,1,7,2]
[7,8,3,4,2,1,6,5]=>[3,5,4,8,6,1,7,2]
[6,3,2,7,1,8,5,4]=>[8,2,7,3,1,5,4,6]
[3,6,2,7,1,8,5,4]=>[8,7,1,3,2,5,4,6]
[6,7,3,8,2,5,4,1]=>[8,3,1,5,2,7,6,4]
[6,4,7,8,5,2,3,1]=>[6,2,1,3,8,7,5,4]
[2,6,4,7,8,1,5,3]=>[8,3,2,6,1,4,7,5]
[4,6,2,7,8,1,5,3]=>[8,1,6,3,2,4,7,5]
[7,4,5,8,6,2,1,3]=>[2,3,7,6,1,8,5,4]
[7,4,1,5,8,6,2,3]=>[4,2,7,8,6,3,1,5]
[7,5,3,8,6,1,2,4]=>[3,6,2,7,1,8,5,4]
[7,5,8,2,1,6,3,4]=>[4,7,2,8,5,1,6,3]
[6,2,7,1,3,8,5,4]=>[8,7,2,4,1,5,3,6]
[6,3,1,7,8,2,5,4]=>[8,2,6,4,1,7,3,5]
[4,6,1,7,8,5,2,3]=>[7,1,4,2,8,6,3,5]
[5,1,2,6,7,8,4,3]=>[4,5,1,8,7,2,3,6]
[5,2,6,7,8,4,1,3]=>[3,1,7,4,8,2,6,5]
[5,2,6,7,8,4,3,1]=>[3,1,4,8,7,2,6,5]
[2,5,6,7,8,4,1,3]=>[2,3,7,4,8,1,6,5]
[1,5,2,6,7,8,4,3]=>[4,2,5,8,7,1,3,6]
[1,6,4,7,8,5,2,3]=>[7,3,2,4,8,6,1,5]
[2,6,7,1,3,8,5,4]=>[8,7,4,1,2,5,3,6]
[6,7,8,2,1,5,4,3]=>[8,4,1,7,5,2,6,3]
[6,7,3,8,5,1,4,2]=>[8,3,1,6,2,7,5,4]
[6,4,7,8,5,3,1,2]=>[7,2,1,3,8,6,5,4]
[4,5,2,3,7,6,1,8]=>[1,7,3,2,4,6,5,8]
[6,4,3,7,2,5,1,8]=>[3,2,5,1,7,6,4,8]
[8,4,3,6,5,1,2,7]=>[3,2,6,7,5,4,8,1]
[1,5,6,3,4,8,7,2]=>[2,8,4,3,5,7,1,6]
[4,6,2,7,3,5,1,8]=>[1,5,7,3,2,6,4,8]
[3,2,6,7,4,5,1,8]=>[5,1,3,7,2,6,4,8]
[4,7,2,6,5,3,1,8]=>[7,1,6,3,5,4,2,8]
[5,7,6,2,4,3,1,8]=>[1,7,4,6,5,3,2,8]
[1,7,5,4,8,3,6,2]=>[4,3,6,2,8,7,1,5]
[8,7,5,4,1,3,2,6]=>[7,5,6,4,3,8,2,1]
[6,8,5,4,2,1,3,7]=>[6,5,1,7,4,3,8,2]
[5,8,6,2,4,1,3,7]=>[4,1,6,7,5,3,8,2]
[4,8,2,6,5,1,3,7]=>[1,6,7,3,5,4,8,2]
[3,2,8,6,5,1,4,7]=>[6,7,1,5,2,4,8,3]
[4,1,2,6,5,8,7,3]=>[4,1,8,5,7,2,3,6]
[5,1,6,2,4,8,7,3]=>[8,5,3,1,7,2,4,6]
[6,1,5,4,2,8,7,3]=>[4,3,8,7,2,1,5,6]
[7,1,5,4,8,2,6,3]=>[4,3,8,6,7,2,1,5]
[8,1,5,4,7,6,2,3]=>[4,3,7,8,6,2,5,1]
[1,8,6,7,4,5,3,2]=>[5,3,8,7,6,4,1,2]
[8,1,6,7,4,5,2,3]=>[7,5,3,8,6,2,4,1]
[7,1,6,8,4,2,5,3]=>[8,6,5,3,7,2,1,4]
[6,1,7,8,2,4,5,3]=>[6,8,5,3,1,7,2,4]
[5,1,7,2,8,4,6,3]=>[6,1,8,7,4,2,3,5]
[4,1,2,7,8,5,6,3]=>[1,6,4,8,7,2,3,5]
[3,2,1,7,8,5,6,4]=>[6,1,4,8,2,7,3,5]
[3,2,8,7,1,5,4,6]=>[7,1,5,6,8,2,4,3]
[4,8,2,7,1,5,3,6]=>[1,7,3,5,6,8,4,2]
[5,8,7,2,1,4,3,6]=>[4,1,7,5,6,8,3,2]
[6,8,7,1,2,4,3,5]=>[7,4,5,1,6,8,3,2]
[7,8,6,1,4,2,3,5]=>[6,7,4,5,1,8,3,2]
[8,7,6,1,4,3,2,5]=>[7,6,4,5,8,3,2,1]
[1,7,6,8,4,3,5,2]=>[6,5,3,2,8,7,1,4]
[1,6,7,8,3,4,5,2]=>[5,2,6,3,8,7,1,4]
[8,6,7,1,3,4,2,5]=>[5,7,4,6,2,8,3,1]
[7,6,8,1,3,2,4,5]=>[6,4,5,7,2,1,8,3]
[5,7,8,2,1,3,4,6]=>[5,4,1,6,7,2,8,3]
[4,7,2,8,1,3,5,6]=>[3,1,5,6,7,2,8,4]
[3,2,6,8,4,1,5,7]=>[6,1,5,2,3,7,8,4]
[4,6,2,8,3,1,5,7]=>[1,6,3,5,2,7,8,4]
[5,6,8,2,3,1,4,7]=>[4,1,6,5,2,7,8,3]
[6,5,8,3,2,1,4,7]=>[6,5,4,2,1,7,8,3]
[7,5,8,3,1,2,4,6]=>[5,6,4,2,7,1,8,3]
[8,5,7,3,1,4,2,6]=>[7,5,4,2,6,8,3,1]
[1,5,7,3,8,4,6,2]=>[2,6,8,4,3,7,1,5]
[1,4,3,7,8,5,6,2]=>[6,2,4,8,3,7,1,5]
[8,4,3,7,1,5,2,6]=>[3,2,7,5,6,8,4,1]
[6,4,3,8,2,1,5,7]=>[3,2,6,5,1,7,8,4]
[4,5,2,3,8,1,6,7]=>[3,1,4,2,6,7,8,5]
[3,2,5,4,8,1,6,7]=>[1,4,2,3,6,7,8,5]
[4,5,2,3,1,8,7,6]=>[1,8,3,2,4,7,5,6]
[6,4,3,1,2,8,7,5]=>[3,2,8,7,4,1,5,6]
[7,4,3,1,8,2,6,5]=>[3,2,8,6,7,4,1,5]
[8,4,3,1,7,6,2,5]=>[3,2,7,8,6,4,5,1]
[1,5,8,3,7,6,4,2]=>[8,2,7,4,6,5,1,3]
[8,5,1,3,7,6,2,4]=>[7,8,4,2,6,3,5,1]
[7,5,1,3,8,2,6,4]=>[8,4,6,2,7,3,1,5]
[6,5,1,3,2,8,7,4]=>[8,4,7,3,2,1,5,6]
[5,6,1,2,3,8,7,4]=>[8,7,3,1,4,2,5,6]
[4,6,2,1,3,8,7,5]=>[1,8,3,7,4,2,5,6]
[3,2,6,1,4,8,7,5]=>[8,1,7,2,4,3,5,6]
[3,2,7,1,8,4,6,5]=>[8,1,6,7,2,4,3,5]
[4,7,2,1,8,3,6,5]=>[1,8,3,6,7,4,2,5]
[5,7,1,2,8,3,6,4]=>[8,6,1,7,3,4,2,5]
[6,7,1,8,2,3,5,4]=>[8,5,6,1,7,3,2,4]
[7,6,1,8,3,2,5,4]=>[5,8,6,7,3,2,1,4]
[8,6,1,7,3,5,2,4]=>[5,7,8,6,3,2,4,1]
[1,6,8,7,3,5,4,2]=>[2,8,5,7,6,4,1,3]
[1,7,8,6,5,3,4,2]=>[6,2,8,7,5,4,1,3]
[8,7,1,6,5,3,2,4]=>[7,6,8,5,3,4,2,1]
[7,8,1,6,5,2,3,4]=>[6,7,8,5,3,1,4,2]
[6,8,1,7,2,5,3,4]=>[7,8,5,1,6,3,4,2]
[5,8,1,2,7,6,3,4]=>[7,1,8,6,3,4,5,2]
[4,8,2,1,7,6,3,5]=>[1,7,8,3,6,4,5,2]
[3,2,8,1,7,6,4,5]=>[7,8,1,6,2,4,5,3]
[4,1,2,8,7,6,5,3]=>[8,1,7,6,5,2,3,4]
[5,1,8,2,7,6,4,3]=>[1,8,7,6,4,5,2,3]
[6,1,8,7,2,5,4,3]=>[8,7,5,1,6,4,2,3]
[7,1,8,6,5,2,4,3]=>[8,6,7,5,4,2,1,3]
[8,1,7,6,5,4,2,3]=>[7,8,6,5,4,2,3,1]
[3,1,2,6,5,8,7,4]=>[1,4,8,5,7,2,3,6]
[3,1,6,2,4,8,7,5]=>[8,1,7,4,2,3,5,6]
[3,1,5,2,4,8,7,6]=>[1,3,8,7,2,4,5,6]
[4,5,1,2,3,8,7,6]=>[1,8,7,3,2,4,5,6]
[4,6,1,2,3,8,7,5]=>[1,8,7,3,4,2,5,6]
[1,6,5,3,4,8,7,2]=>[8,4,3,2,5,7,1,6]
[6,1,5,2,4,8,7,3]=>[8,5,3,7,2,1,4,6]
[6,5,1,2,3,8,7,4]=>[8,7,3,4,2,1,5,6]
[6,4,1,2,3,8,7,5]=>[8,7,3,2,4,1,5,6]
[5,4,1,2,3,8,7,6]=>[8,7,3,2,1,4,5,6]
[5,4,1,2,7,3,6,8]=>[6,7,3,2,1,4,5,8]
[6,4,1,7,2,3,5,8]=>[5,6,2,7,3,1,4,8]
[6,4,1,8,2,3,5,7]=>[5,6,2,7,1,8,3,4]
[7,4,1,2,8,3,6,5]=>[8,6,2,7,3,4,1,5]
[7,5,1,2,8,3,6,4]=>[8,6,7,3,2,4,1,5]
[7,1,5,2,8,4,6,3]=>[6,3,8,7,2,4,1,5]
[1,7,5,3,8,4,6,2]=>[6,3,8,4,2,7,1,5]
[1,8,5,3,7,4,6,2]=>[6,3,8,4,7,5,1,2]
[8,1,5,2,7,4,6,3]=>[6,3,8,7,2,4,5,1]
[8,5,1,2,7,3,6,4]=>[8,6,7,3,2,4,5,1]
[8,4,1,2,7,3,6,5]=>[8,6,2,7,3,4,5,1]
[8,4,1,7,2,3,5,6]=>[5,6,2,7,8,3,4,1]
[7,4,1,6,2,3,5,8]=>[5,6,2,7,3,4,1,8]
[8,6,1,7,2,3,5,4]=>[8,5,6,7,3,2,4,1]
[8,1,6,7,2,4,5,3]=>[6,8,5,3,7,2,4,1]
[1,8,6,7,3,4,5,2]=>[5,6,3,8,7,4,1,2]
[1,7,6,8,3,4,5,2]=>[5,6,3,2,8,7,1,4]
[7,1,6,8,2,4,5,3]=>[6,8,5,3,7,2,1,4]
[7,6,1,8,2,3,5,4]=>[8,5,6,7,3,2,1,4]
[4,7,1,2,8,3,6,5]=>[1,8,6,7,3,4,2,5]
[3,1,7,2,8,4,6,5]=>[8,1,6,7,4,2,3,5]
[3,1,2,7,8,5,6,4]=>[6,1,4,8,7,2,3,5]
[1,4,3,8,7,5,6,2]=>[6,8,2,7,3,5,1,4]
[4,1,2,8,7,5,6,3]=>[1,6,8,7,5,2,3,4]
[3,1,2,8,7,5,6,4]=>[6,8,1,7,5,2,3,4]
[3,1,8,2,7,4,6,5]=>[8,1,6,7,4,5,2,3]
[3,1,8,7,2,4,5,6]=>[1,5,6,7,8,4,2,3]
[3,1,7,6,2,4,5,8]=>[1,5,6,7,4,2,3,8]
[4,7,1,6,2,3,5,8]=>[5,1,6,7,3,4,2,8]
[4,8,1,6,2,3,5,7]=>[5,1,6,7,3,4,8,2]
[4,8,1,7,2,3,5,6]=>[5,1,6,7,8,3,4,2]
[4,8,1,2,7,3,6,5]=>[1,8,6,7,3,4,5,2]
[5,8,1,2,7,3,6,4]=>[8,6,1,7,3,4,5,2]
[5,1,8,2,7,4,6,3]=>[6,1,8,7,4,5,2,3]
[1,5,8,3,7,4,6,2]=>[2,6,8,4,7,5,1,3]
[1,6,8,7,3,4,5,2]=>[5,2,6,8,7,4,1,3]
[6,1,8,7,2,4,5,3]=>[6,8,5,1,7,4,2,3]
[6,8,1,7,2,3,5,4]=>[8,5,6,1,7,3,4,2]
[6,8,7,1,2,3,4,5]=>[4,5,6,1,7,8,3,2]
[5,8,7,1,2,3,4,6]=>[4,5,1,6,7,8,3,2]
[5,8,6,1,2,3,4,7]=>[4,5,1,6,7,3,8,2]
[5,7,6,1,2,3,4,8]=>[4,5,1,6,7,3,2,8]
[7,8,1,6,2,3,5,4]=>[8,5,6,7,3,1,4,2]
[7,1,8,6,2,4,5,3]=>[6,8,5,7,4,2,1,3]
[1,7,8,6,3,4,5,2]=>[5,6,2,8,7,4,1,3]
[1,8,7,6,3,4,5,2]=>[5,6,8,7,4,3,1,2]
[8,1,7,6,2,4,5,3]=>[6,8,5,7,4,2,3,1]
[8,7,1,6,2,3,5,4]=>[8,5,6,7,3,4,2,1]
[3,2,5,1,6,4,8,7]=>[1,5,2,3,8,4,6,7]
[3,2,5,4,7,1,8,6]=>[1,3,8,2,4,6,5,7]
[4,2,5,3,7,6,8,1]=>[3,1,6,2,4,5,8,7]
[4,2,5,3,7,1,8,6]=>[3,1,8,2,4,6,5,7]
[4,2,5,3,6,1,8,7]=>[4,2,1,3,5,8,6,7]
[4,2,5,1,6,3,8,7]=>[5,2,1,3,8,4,6,7]
[3,1,5,4,6,2,8,7]=>[1,4,3,5,8,2,6,7]
[4,1,5,3,6,2,8,7]=>[4,3,1,5,8,2,6,7]
[4,3,5,1,6,2,8,7]=>[2,1,5,3,8,4,6,7]
[4,3,5,2,7,1,8,6]=>[2,1,3,8,4,6,5,7]
[4,3,6,2,7,5,8,1]=>[1,6,2,4,3,5,8,7]
[4,3,6,2,7,1,8,5]=>[1,8,2,4,3,6,5,7]
[4,3,6,1,7,2,8,5]=>[1,8,2,6,4,3,5,7]
[4,3,5,1,7,2,8,6]=>[2,1,3,8,6,4,5,7]
[3,1,5,4,7,2,8,6]=>[1,3,8,4,6,2,5,7]
[2,1,5,4,7,3,8,6]=>[3,8,1,4,6,2,5,7]
[3,1,5,4,7,6,8,2]=>[1,3,6,4,5,8,2,7]
[4,1,5,3,7,6,8,2]=>[3,1,6,4,5,8,2,7]
[4,3,5,1,7,6,8,2]=>[2,1,3,6,5,8,4,7]
[4,3,6,1,7,5,8,2]=>[1,6,2,5,3,8,4,7]
[4,3,6,5,7,1,8,2]=>[1,4,2,3,8,6,5,7]
[5,3,6,4,7,2,8,1]=>[4,2,1,3,6,5,8,7]
[5,3,6,4,7,1,8,2]=>[4,2,1,3,8,6,5,7]
[5,3,6,1,7,4,8,2]=>[6,2,1,5,3,8,4,7]
[5,1,6,3,7,4,8,2]=>[6,4,3,1,5,8,2,7]
[4,1,6,3,7,5,8,2]=>[1,6,4,3,5,8,2,7]
[3,1,6,4,7,5,8,2]=>[6,1,4,3,5,8,2,7]
[2,1,6,4,7,5,8,3]=>[6,4,1,3,5,8,2,7]
[2,1,6,4,7,3,8,5]=>[8,4,1,3,6,2,5,7]
[3,1,6,4,7,2,8,5]=>[8,1,4,3,6,2,5,7]
[4,1,6,3,7,2,8,5]=>[1,8,4,3,6,2,5,7]
[5,1,6,3,7,2,8,4]=>[8,4,3,1,6,2,5,7]
[5,3,6,1,7,2,8,4]=>[8,2,1,6,4,3,5,7]
[5,3,6,2,7,1,8,4]=>[8,2,1,4,3,6,5,7]
[5,3,6,2,7,4,8,1]=>[6,2,1,4,3,5,8,7]
[5,2,6,3,7,4,8,1]=>[6,4,2,1,3,5,8,7]
[5,2,6,3,7,1,8,4]=>[8,4,2,1,3,6,5,7]
[5,2,6,1,7,3,8,4]=>[8,6,2,1,4,3,5,7]
[4,2,5,1,7,3,8,6]=>[3,1,8,2,6,4,5,7]
[4,2,6,1,7,3,8,5]=>[1,8,6,2,4,3,5,7]
[4,2,6,3,7,1,8,5]=>[1,8,4,2,3,6,5,7]
[4,2,6,3,7,5,8,1]=>[1,6,4,2,3,5,8,7]
[3,2,6,4,7,5,8,1]=>[6,1,4,2,3,5,8,7]
[3,2,6,4,7,1,8,5]=>[8,1,4,2,3,6,5,7]
[3,2,6,1,7,4,8,5]=>[8,1,6,2,4,3,5,7]
[3,2,5,1,7,4,8,6]=>[1,3,8,2,6,4,5,7]
[3,2,4,1,7,5,8,6]=>[1,8,2,3,6,4,5,7]
[3,1,4,2,7,6,8,5]=>[1,6,3,5,8,2,4,7]
[3,2,5,1,7,6,8,4]=>[1,3,6,2,5,8,4,7]
[3,2,6,1,7,5,8,4]=>[6,1,5,2,3,8,4,7]
[3,2,6,5,7,1,8,4]=>[4,1,3,8,2,6,5,7]
[4,2,6,5,7,3,8,1]=>[1,4,3,6,2,5,8,7]
[4,2,6,5,7,1,8,3]=>[1,4,3,8,2,6,5,7]
[4,2,6,1,7,5,8,3]=>[1,6,5,2,3,8,4,7]
[4,2,5,1,7,6,8,3]=>[3,1,6,2,5,8,4,7]
[4,1,5,2,7,6,8,3]=>[3,1,6,5,8,2,4,7]
[3,1,5,2,7,6,8,4]=>[1,3,6,5,8,2,4,7]
[2,1,5,3,7,6,8,4]=>[3,6,1,5,8,2,4,7]
[2,1,6,3,7,5,8,4]=>[6,5,1,3,8,2,4,7]
[3,1,6,2,7,5,8,4]=>[6,1,5,3,8,2,4,7]
[4,1,6,2,7,5,8,3]=>[1,6,5,3,8,2,4,7]
[5,1,6,2,7,4,8,3]=>[6,5,3,1,8,2,4,7]
[5,2,6,1,7,4,8,3]=>[6,5,2,1,3,8,4,7]
[5,2,6,4,7,1,8,3]=>[4,3,1,8,2,6,5,7]
[5,2,6,4,7,3,8,1]=>[4,3,1,6,2,5,8,7]
[5,4,6,2,7,3,8,1]=>[2,1,6,4,3,5,8,7]
[5,4,6,2,7,1,8,3]=>[2,1,8,4,3,6,5,7]
[5,4,6,1,7,2,8,3]=>[2,1,8,6,4,3,5,7]
[5,1,6,4,7,2,8,3]=>[4,3,1,8,6,2,5,7]
[4,1,6,5,7,2,8,3]=>[1,4,3,8,6,2,5,7]
[3,1,6,5,7,2,8,4]=>[4,1,3,8,6,2,5,7]
[2,1,6,5,7,3,8,4]=>[4,3,8,1,6,2,5,7]
[3,1,6,5,7,4,8,2]=>[4,1,3,6,5,8,2,7]
[4,1,6,5,7,3,8,2]=>[1,4,3,6,5,8,2,7]
[5,1,6,4,7,3,8,2]=>[4,3,1,6,5,8,2,7]
[5,4,6,1,7,3,8,2]=>[2,1,6,5,3,8,4,7]
[5,4,6,3,7,1,8,2]=>[2,1,4,3,8,6,5,7]
[8,3,5,2,1,6,4,7]=>[2,4,7,5,3,6,8,1]
[8,6,3,5,2,4,1,7]=>[3,5,7,6,4,2,8,1]
[3,7,5,2,4,1,8,6]=>[4,5,1,3,8,6,2,7]
[8,3,7,5,2,4,6,1]=>[5,6,2,4,8,7,3,1]
[8,2,4,5,7,3,6,1]=>[3,4,6,8,2,7,5,1]
[2,4,5,7,3,1,8,6]=>[2,3,5,8,1,6,4,7]
[8,2,4,6,5,3,1,7]=>[7,3,6,2,5,4,8,1]
[8,2,5,4,6,1,3,7]=>[6,4,2,3,7,5,8,1]
[8,6,3,5,1,4,2,7]=>[3,7,5,6,4,2,8,1]
[8,6,1,4,5,3,2,7]=>[4,7,6,3,5,2,8,1]
[8,1,5,6,4,3,2,7]=>[3,7,6,5,2,4,8,1]
[5,7,4,3,2,1,8,6]=>[1,5,4,3,8,6,2,7]
[8,5,7,4,3,2,6,1]=>[2,6,5,4,8,7,3,1]
[4,6,8,3,2,7,5,1]=>[4,1,2,8,5,7,6,3]
[4,7,6,3,2,8,1,5]=>[5,1,4,7,3,2,8,6]
[1,4,6,7,3,2,8,5]=>[5,2,3,8,6,1,4,7]
[5,4,7,3,1,8,2,6]=>[2,1,7,4,8,5,3,6]
[1,7,4,5,3,2,8,6]=>[3,5,4,8,6,1,2,7]
[3,7,5,1,4,2,8,6]=>[5,8,1,4,3,6,2,7]
[5,7,4,2,1,3,8,6]=>[4,1,8,5,3,6,2,7]
[8,5,7,4,2,1,6,3]=>[5,2,8,6,4,7,3,1]
[8,3,7,5,1,4,6,2]=>[6,8,2,5,4,7,3,1]
[8,4,1,7,5,3,6,2]=>[2,6,5,8,7,3,4,1]
[4,6,3,8,7,1,5,2]=>[8,1,3,2,6,7,5,4]
[1,7,4,8,6,3,5,2]=>[6,8,3,2,7,5,1,4]
[8,4,7,6,3,5,2,1]=>[5,8,2,7,6,4,3,1]
[3,6,5,8,7,4,1,2]=>[3,2,7,8,1,6,5,4]
[3,1,5,8,6,7,4,2]=>[5,8,1,3,7,6,2,4]
[4,8,1,6,7,3,5,2]=>[6,1,4,8,7,3,5,2]
[3,6,4,1,8,7,5,2]=>[8,3,1,2,7,6,4,5]
[8,2,6,1,4,7,5,3]=>[8,5,7,2,4,3,6,1]
[2,7,6,8,1,4,3,5]=>[7,5,6,3,1,2,8,4]
[3,7,1,6,4,8,2,5]=>[5,7,1,4,8,3,2,6]
[1,7,3,5,6,8,2,4]=>[4,7,3,5,2,8,1,6]
[1,3,6,7,5,8,2,4]=>[3,7,5,2,4,8,1,6]
[3,7,6,5,8,2,1,4]=>[7,6,4,1,3,2,8,5]
[3,6,8,5,7,2,4,1]=>[2,6,4,8,1,7,5,3]
[2,3,5,7,6,8,1,4]=>[7,3,5,1,2,4,8,6]
[2,1,6,5,7,8,3,4]=>[4,3,7,1,5,8,2,6]
[4,2,7,6,8,3,1,5]=>[7,1,6,4,2,3,8,5]
[4,2,6,8,7,3,5,1]=>[1,3,6,8,7,2,5,4]
[3,8,2,4,6,7,5,1]=>[5,8,1,3,4,7,6,2]
[3,7,2,6,4,8,1,5]=>[5,7,1,3,4,2,8,6]
[3,2,6,1,4,7,8,5]=>[1,6,8,2,4,3,5,7]
[5,3,7,2,1,8,4,6]=>[2,4,1,7,8,5,3,6]
[4,7,3,2,1,5,8,6]=>[1,4,3,8,5,6,2,7]
[8,7,6,1,3,4,2,5]=>[5,7,4,6,8,3,2,1]
[8,5,7,3,2,1,6,4]=>[5,4,2,8,6,7,3,1]
[8,3,6,7,2,1,5,4]=>[5,8,2,6,3,7,4,1]
[3,7,8,6,2,1,5,4]=>[5,8,6,1,2,7,4,3]
[8,7,6,3,5,2,4,1]=>[4,6,8,7,5,3,2,1]
[2,7,4,8,1,6,5,3]=>[8,3,7,5,1,2,6,4]
[4,6,8,2,1,7,5,3]=>[8,1,4,2,7,5,6,3]
[8,4,1,5,7,2,6,3]=>[4,2,8,6,7,3,5,1]
[8,5,3,7,1,6,2,4]=>[3,7,2,8,5,6,4,1]
[8,5,7,2,1,3,6,4]=>[4,8,5,2,6,7,3,1]
[8,2,6,7,1,3,5,4]=>[8,5,6,2,3,7,4,1]
[8,3,6,1,7,5,2,4]=>[7,8,2,6,4,3,5,1]
[4,6,1,8,7,2,5,3]=>[8,1,6,2,7,5,3,4]
[8,1,2,5,6,7,4,3]=>[4,5,8,7,2,3,6,1]
[8,2,6,5,7,4,1,3]=>[7,4,3,8,2,6,5,1]
[2,1,7,8,5,6,4,3]=>[5,3,8,7,1,6,2,4]
[8,2,5,7,6,4,3,1]=>[8,3,7,6,2,5,4,1]
[2,7,6,8,5,4,1,3]=>[7,3,2,8,6,1,5,4]
[1,7,2,5,8,6,4,3]=>[8,4,7,6,3,1,2,5]
[1,7,4,8,2,6,5,3]=>[8,3,7,5,2,6,1,4]
[3,7,8,1,6,5,2,4]=>[7,8,6,1,4,2,5,3]
[2,7,8,6,1,3,5,4]=>[8,5,6,2,7,1,4,3]
[8,7,6,3,5,1,4,2]=>[4,8,6,7,5,3,2,1]
[8,4,7,6,5,1,3,2]=>[8,2,6,7,5,4,3,1]
[8,7,1,5,6,4,3,2]=>[4,8,7,6,3,5,2,1]
[8,1,6,7,5,4,3,2]=>[3,8,7,6,5,2,4,1]
[6,5,3,1,2,4,8,7]=>[8,4,3,5,2,1,6,7]
[4,6,3,5,1,2,8,7]=>[1,3,8,5,4,2,6,7]
[8,5,3,7,2,1,4,6]=>[3,6,5,2,7,8,4,1]
[6,8,1,4,5,7,3,2]=>[4,5,1,8,7,3,6,2]
[8,7,2,4,5,1,3,6]=>[6,3,4,7,5,8,2,1]
[3,6,2,4,5,1,8,7]=>[1,3,4,5,2,8,6,7]
[2,6,1,4,5,3,8,7]=>[4,5,8,1,3,2,6,7]
[6,1,2,4,5,3,8,7]=>[4,5,8,2,3,1,6,7]
[5,6,3,2,1,4,8,7]=>[4,3,1,8,5,2,6,7]
[5,4,3,6,1,2,8,7]=>[3,2,1,8,5,4,6,7]
[6,3,1,4,5,2,8,7]=>[4,2,5,8,3,1,6,7]
[3,1,6,4,5,2,8,7]=>[1,4,5,3,8,2,6,7]
[8,3,7,4,5,1,2,6]=>[6,2,4,7,5,8,3,1]
[5,8,7,4,2,6,3,1]=>[8,1,5,4,7,6,3,2]
[2,8,7,4,1,6,3,5]=>[7,4,8,5,6,1,3,2]
[8,1,7,4,2,6,3,5]=>[7,4,8,5,6,2,3,1]
[3,7,8,4,5,1,2,6]=>[6,4,7,1,5,2,8,3]
[2,1,8,7,5,3,4,6]=>[6,7,5,8,1,4,2,3]
[2,1,6,8,5,7,3,4]=>[3,7,5,8,1,6,2,4]
[5,6,3,8,1,7,2,4]=>[3,1,7,2,8,5,6,4]
[7,6,1,4,5,8,3,2]=>[4,5,8,7,3,2,1,6]
[3,7,6,4,5,8,2,1]=>[4,5,3,1,2,8,7,6]
[8,5,7,4,1,6,3,2]=>[2,8,7,5,4,6,3,1]
[5,1,8,4,7,6,2,3]=>[4,1,7,8,6,5,2,3]
[2,5,8,4,7,6,1,3]=>[2,4,7,8,6,1,5,3]
[2,4,8,3,5,6,7,1]=>[2,4,5,6,8,1,7,3]
[4,1,8,3,5,6,7,2]=>[4,1,5,6,8,7,2,3]
[3,8,4,2,5,6,7,1]=>[4,1,3,5,6,8,7,2]
[8,4,1,3,5,6,7,2]=>[4,5,2,6,8,3,7,1]
[7,5,8,4,3,6,1,2]=>[2,7,5,4,1,8,6,3]
[6,5,3,8,4,1,7,2]=>[8,3,2,1,6,5,7,4]
[2,1,5,8,4,6,7,3]=>[3,5,6,8,1,7,2,4]
[2,1,4,8,3,6,7,5]=>[6,8,1,3,5,7,2,4]
[6,4,3,8,2,1,7,5]=>[3,2,5,1,8,6,7,4]
[7,3,8,4,2,6,1,5]=>[5,2,4,7,1,8,6,3]
[8,3,1,2,5,6,7,4]=>[5,2,6,8,3,4,7,1]
[3,1,8,2,5,6,7,4]=>[1,5,6,8,4,7,2,3]
[2,3,8,1,5,6,7,4]=>[5,6,8,1,2,4,7,3]
[4,3,8,2,5,6,7,1]=>[2,1,4,5,6,8,7,3]
[4,8,2,3,5,6,7,1]=>[3,1,4,5,6,8,7,2]
[3,8,2,1,5,6,7,4]=>[1,3,5,6,8,4,7,2]
[2,8,1,3,5,6,7,4]=>[5,6,8,1,3,4,7,2]
[8,1,2,3,5,6,7,4]=>[5,6,8,2,3,4,7,1]
[7,8,2,4,3,6,1,5]=>[5,3,4,7,1,8,6,2]
[6,8,3,2,4,1,7,5]=>[4,3,5,1,8,6,7,2]
[2,1,8,3,4,6,7,5]=>[6,8,1,4,5,7,2,3]
[2,1,7,8,5,4,3,6]=>[7,6,5,1,3,8,2,4]
[5,7,3,8,1,4,2,6]=>[3,1,7,5,6,2,8,4]
[7,1,8,4,5,3,2,6]=>[4,7,6,5,8,2,1,3]
[2,7,8,4,5,3,1,6]=>[4,7,6,5,1,2,8,3]
[8,7,1,4,3,6,2,5]=>[5,4,7,8,3,6,2,1]
[3,8,7,4,2,6,1,5]=>[5,4,7,8,1,6,3,2]
[5,7,8,4,3,6,2,1]=>[5,1,4,2,8,7,6,3]
[5,6,3,8,4,2,7,1]=>[1,6,3,2,5,8,7,4]
[4,8,3,6,2,1,7,5]=>[1,3,5,8,6,4,7,2]
[8,6,3,1,4,2,7,5]=>[5,3,8,4,6,2,7,1]
[7,5,3,8,2,4,1,6]=>[3,5,2,7,6,1,8,4]
[2,4,3,1,8,5,7,6]=>[2,8,1,3,6,7,4,5]
[4,1,3,2,6,8,7,5]=>[8,3,1,5,7,2,4,6]
[7,5,3,6,2,8,1,4]=>[3,5,2,7,4,1,8,6]
[8,6,3,5,1,2,7,4]=>[3,8,5,6,4,2,7,1]
[5,8,3,2,6,1,7,4]=>[3,1,8,4,6,5,7,2]
[4,5,3,8,6,2,7,1]=>[1,2,6,3,5,8,7,4]
[3,5,8,4,7,6,2,1]=>[8,2,4,7,1,6,5,3]
[5,8,2,4,7,6,1,3]=>[4,1,7,8,3,6,5,2]
[8,7,5,4,1,6,2,3]=>[7,8,5,4,3,6,2,1]
[2,7,6,4,5,8,1,3]=>[4,7,5,3,1,2,8,6]
[7,1,6,4,5,8,2,3]=>[4,7,5,3,8,2,1,6]
[5,7,3,6,1,8,2,4]=>[3,1,7,8,5,4,2,6]
[2,1,7,6,5,8,3,4]=>[7,5,4,1,3,8,2,6]
[2,1,8,5,3,6,7,4]=>[6,4,8,1,5,7,2,3]
[6,8,3,5,2,1,7,4]=>[3,5,1,8,6,4,7,2]
[7,8,5,4,2,6,1,3]=>[5,7,4,3,1,8,6,2]
[8,1,4,2,5,6,7,3]=>[5,3,6,8,2,4,7,1]
[2,8,4,1,5,6,7,3]=>[5,3,6,8,1,4,7,2]
[4,8,1,2,5,6,7,3]=>[5,1,6,8,3,4,7,2]
[3,4,8,1,5,6,7,2]=>[1,2,5,6,8,4,7,3]
[3,4,2,8,5,6,7,1]=>[1,2,5,6,8,3,7,4]
[2,4,1,8,5,6,7,3]=>[2,5,6,8,1,7,3,4]
[4,1,2,8,5,6,7,3]=>[5,1,6,8,7,2,3,4]
[8,4,2,1,5,6,7,3]=>[3,5,2,6,8,4,7,1]
[7,5,2,4,8,6,1,3]=>[4,7,2,8,3,1,6,5]
[6,5,3,2,8,1,7,4]=>[3,8,4,2,1,6,7,5]
[2,1,5,3,8,6,7,4]=>[3,6,8,1,7,2,4,5]
[6,4,3,5,8,1,7,2]=>[3,2,4,1,8,6,7,5]
[7,3,5,4,8,6,1,2]=>[4,2,3,7,1,8,6,5]
[8,3,4,1,5,6,7,2]=>[2,5,3,6,8,4,7,1]
[4,3,1,8,5,6,7,2]=>[2,1,5,6,8,7,3,4]
[3,1,4,8,5,6,7,2]=>[1,5,6,8,3,7,2,4]
[6,5,3,7,2,8,4,1]=>[8,3,2,1,5,4,7,6]
[6,3,7,4,5,8,2,1]=>[4,5,2,1,3,8,7,6]
[6,7,2,4,5,8,3,1]=>[4,5,1,8,3,2,7,6]
[5,1,7,4,8,6,3,2]=>[1,8,4,3,7,6,2,5]
[2,5,7,4,8,6,3,1]=>[8,2,4,3,7,1,6,5]
[5,6,3,7,1,8,4,2]=>[1,8,3,2,7,5,4,6]
[3,8,7,4,5,2,1,6]=>[4,7,6,1,5,8,3,2]
[3,7,5,4,8,6,2,1]=>[3,8,4,1,2,7,6,5]
[5,7,1,4,8,6,2,3]=>[4,1,7,8,6,3,2,5]
[5,6,3,1,8,2,7,4]=>[3,1,8,6,2,7,4,5]
[4,6,3,5,8,2,7,1]=>[1,3,4,2,6,8,7,5]
[4,6,3,8,1,2,7,5]=>[1,3,8,5,2,6,7,4]
[3,7,8,4,1,6,2,5]=>[7,4,8,1,5,2,6,3]
[3,2,5,1,6,8,4,7]=>[1,5,2,3,7,8,4,6]
[3,6,2,5,4,8,1,7]=>[5,1,3,4,2,7,8,6]
[3,5,2,4,7,1,8,6]=>[8,1,3,2,4,6,5,7]
[3,5,8,2,4,7,6,1]=>[2,8,1,4,5,7,6,3]
[4,2,5,8,3,7,6,1]=>[1,8,3,5,7,2,6,4]
[4,2,6,5,3,8,1,7]=>[1,5,4,2,3,7,8,6]
[5,4,2,1,6,8,3,7]=>[3,5,2,1,7,8,4,6]
[6,3,5,1,4,8,2,7]=>[2,5,7,3,1,8,4,6]
[4,6,1,5,3,8,2,7]=>[1,5,4,7,2,8,3,6]
[5,1,6,4,3,8,2,7]=>[5,4,3,1,7,8,2,6]
[5,4,3,2,7,1,8,6]=>[3,2,1,8,4,6,5,7]
[5,4,3,8,2,7,6,1]=>[2,1,8,3,5,7,6,4]
[4,3,6,2,8,7,5,1]=>[1,3,8,2,7,4,6,5]
[4,3,7,6,2,1,8,5]=>[1,5,8,2,6,4,3,7]
[6,4,3,1,7,2,8,5]=>[3,2,8,6,4,1,5,7]
[7,5,4,3,1,8,2,6]=>[7,4,3,2,8,5,1,6]
[1,4,7,5,8,3,2,6]=>[4,7,2,6,3,8,1,5]
[7,1,3,5,8,4,2,6]=>[4,7,3,6,8,2,1,5]
[7,2,5,8,4,1,3,6]=>[6,3,7,2,5,1,8,4]
[2,8,5,7,4,6,1,3]=>[3,7,5,8,6,1,4,2]
[3,5,8,7,1,4,6,2]=>[2,6,8,1,5,7,4,3]
[1,4,5,8,7,3,6,2]=>[6,8,2,3,7,5,1,4]
[1,5,4,8,7,3,6,2]=>[2,6,8,3,7,5,1,4]
[6,4,3,8,1,7,5,2]=>[2,8,3,1,7,5,6,4]
[4,3,7,1,8,6,5,2]=>[8,1,7,2,6,4,3,5]
[4,8,3,7,6,5,2,1]=>[8,7,1,3,6,5,4,2]
[5,3,8,7,6,4,2,1]=>[8,1,7,6,2,5,4,3]
[7,5,3,1,8,6,4,2]=>[8,3,2,7,6,4,1,5]
[1,8,6,5,3,7,4,2]=>[8,5,4,3,7,6,1,2]
[1,5,8,6,3,7,4,2]=>[8,2,5,4,7,6,1,3]
[4,6,1,8,7,3,5,2]=>[6,1,2,8,7,5,3,4]
[6,8,7,3,1,4,5,2]=>[6,4,1,8,5,7,3,2]
[6,2,8,7,4,5,1,3]=>[7,5,1,8,6,2,4,3]
[7,6,2,8,4,1,3,5]=>[6,7,3,5,2,1,8,4]
[7,3,1,6,8,4,2,5]=>[7,2,6,4,8,3,1,5]
[1,7,6,4,8,3,2,5]=>[4,7,6,3,2,8,1,5]
[5,7,1,6,3,2,8,4]=>[5,1,8,6,3,4,2,7]
[6,1,7,5,3,2,8,4]=>[5,8,6,4,2,1,3,7]
[7,6,5,3,2,1,8,4]=>[5,4,8,6,3,2,1,7]
[6,5,3,2,8,7,4,1]=>[8,3,2,1,7,4,6,5]
[5,2,6,3,8,7,4,1]=>[3,1,8,7,2,4,6,5]
[5,2,7,6,3,1,8,4]=>[5,1,8,6,2,4,3,7]
[6,5,2,1,7,3,8,4]=>[8,3,6,4,2,1,5,7]
[5,2,7,4,1,8,3,6]=>[7,4,1,8,2,5,3,6]
[4,7,2,6,3,1,8,5]=>[1,5,8,3,6,4,2,7]
[2,4,8,6,3,7,5,1]=>[8,5,2,4,7,1,6,3]
[3,8,6,2,4,7,5,1]=>[8,4,5,1,3,7,6,2]
[7,3,6,2,4,1,8,5]=>[2,4,5,8,6,3,1,7]
[3,6,7,2,1,4,8,5]=>[4,8,1,5,2,6,3,7]
[4,3,7,8,2,1,5,6]=>[1,6,2,5,7,3,8,4]
[8,3,7,1,4,6,2,5]=>[2,5,7,8,4,6,3,1]
[3,8,2,5,7,1,6,4]=>[4,8,1,3,6,7,5,2]
[8,3,6,2,7,1,5,4]=>[8,2,4,6,3,7,5,1]
[7,8,3,6,2,1,5,4]=>[3,5,8,6,1,7,4,2]
[8,7,3,6,2,5,4,1]=>[8,3,5,7,6,4,2,1]
[4,7,8,2,1,6,5,3]=>[8,1,4,7,5,2,6,3]
[4,2,6,8,1,7,5,3]=>[1,3,8,7,2,5,6,4]
[5,4,8,2,7,1,6,3]=>[2,1,8,4,6,7,5,3]
[4,8,1,5,7,2,6,3]=>[1,4,8,6,7,3,5,2]
[5,8,3,7,1,6,2,4]=>[3,1,7,8,5,6,4,2]
[5,8,7,2,6,1,3,4]=>[4,1,6,7,8,5,3,2]
[8,6,2,7,5,1,3,4]=>[6,7,8,3,2,5,4,1]
[3,6,8,1,7,5,2,4]=>[7,2,8,1,6,4,5,3]
[5,1,6,8,2,7,4,3]=>[3,1,8,7,5,6,2,4]
[6,5,2,8,1,7,4,3]=>[8,7,3,2,1,5,6,4]
[5,2,7,1,8,6,4,3]=>[1,8,7,6,2,4,3,5]
[5,8,2,7,6,4,3,1]=>[8,1,7,6,3,5,4,2]
[6,2,8,7,5,4,3,1]=>[1,8,7,6,5,2,4,3]
[7,6,2,1,8,5,4,3]=>[8,7,3,6,4,2,1,5]
[6,1,7,2,8,5,4,3]=>[8,7,6,4,2,1,3,5]
[7,5,1,8,2,6,4,3]=>[8,7,5,2,6,3,1,4]
[4,7,1,8,6,2,5,3]=>[8,1,6,7,5,3,2,4]
[7,8,3,1,6,5,2,4]=>[3,7,8,6,4,1,5,2]
[8,7,4,6,1,5,3,2]=>[3,8,7,5,6,4,2,1]
[8,5,7,1,6,4,3,2]=>[2,8,7,6,4,5,3,1]
[6,8,1,7,5,4,3,2]=>[1,8,7,6,5,3,4,2]
[7,1,8,6,5,4,3,2]=>[8,7,6,5,4,2,1,3]
[5,4,2,3,7,6,1,8]=>[7,3,2,1,4,6,5,8]
[6,4,2,7,3,5,1,8]=>[5,2,7,3,1,6,4,8]
[7,4,2,6,3,5,1,8]=>[5,2,7,3,6,4,1,8]
[8,4,2,6,3,1,5,7]=>[6,3,2,5,7,4,8,1]
[3,2,7,6,4,5,1,8]=>[5,7,1,6,2,4,3,8]
[4,7,2,6,3,5,1,8]=>[1,5,7,3,6,4,2,8]
[5,7,6,2,3,4,1,8]=>[4,1,5,7,6,3,2,8]
[1,6,5,2,3,8,4,7]=>[7,8,4,3,1,2,5,6]
[1,7,5,2,8,3,4,6]=>[6,7,3,8,4,1,2,5]
[6,8,5,2,3,1,4,7]=>[4,6,5,1,7,3,8,2]
[5,8,6,2,3,1,4,7]=>[4,1,6,5,7,3,8,2]
[4,8,2,6,3,1,5,7]=>[1,6,3,5,7,4,8,2]
[3,2,8,6,4,1,5,7]=>[6,1,5,7,2,4,8,3]
[3,2,1,6,4,8,5,7]=>[1,7,2,4,8,3,5,6]
[7,1,5,2,8,3,4,6]=>[6,7,3,8,2,4,1,5]
[1,8,5,2,7,3,4,6]=>[6,7,3,8,4,5,1,2]
[1,8,6,7,2,3,4,5]=>[5,6,7,3,8,4,1,2]
[8,1,6,7,2,3,4,5]=>[5,6,7,3,8,2,4,1]
[7,1,6,8,2,3,4,5]=>[5,6,7,3,8,2,1,4]
[3,2,1,7,8,4,5,6]=>[1,6,7,2,4,8,3,5]
[3,2,8,7,1,4,5,6]=>[1,5,6,7,8,2,4,3]
[5,8,7,2,1,3,4,6]=>[5,4,1,6,7,8,3,2]
[1,7,6,8,2,3,4,5]=>[5,6,7,3,2,8,1,4]
[6,5,8,2,3,1,4,7]=>[4,6,5,2,1,7,8,3]
[8,5,7,2,1,3,4,6]=>[5,4,6,2,7,8,3,1]
[6,4,2,8,3,1,5,7]=>[6,3,2,5,1,7,8,4]
[5,4,2,3,8,1,6,7]=>[3,4,2,1,6,7,8,5]
[3,2,5,4,1,8,6,7]=>[1,4,2,3,7,8,5,6]
[4,5,2,3,1,8,6,7]=>[3,1,4,2,7,8,5,6]
[5,4,2,3,1,8,6,7]=>[3,4,2,1,7,8,5,6]
[6,4,2,1,3,8,5,7]=>[3,7,2,8,4,1,5,6]
[7,4,2,1,8,3,5,6]=>[3,6,2,7,8,4,1,5]
[8,4,2,1,7,3,5,6]=>[3,6,2,7,8,4,5,1]
[1,4,2,8,7,3,5,6]=>[2,6,7,8,5,1,3,4]
[1,5,8,2,7,3,4,6]=>[6,2,7,8,4,5,1,3]
[8,5,1,2,7,3,4,6]=>[6,7,8,3,2,4,5,1]
[7,5,1,2,8,3,4,6]=>[6,7,8,3,2,4,1,5]
[6,5,1,2,3,8,4,7]=>[7,8,3,4,2,1,5,6]
[4,6,2,1,3,8,5,7]=>[3,1,7,8,4,2,5,6]
[3,2,6,1,4,8,5,7]=>[1,7,8,2,4,3,5,6]
[3,2,7,1,8,4,5,6]=>[1,6,7,8,2,4,3,5]
[4,7,2,1,8,3,5,6]=>[3,1,6,7,8,4,2,5]
[7,6,1,8,2,3,4,5]=>[5,6,7,8,3,2,1,4]
[8,6,1,7,2,3,4,5]=>[5,6,7,8,3,2,4,1]
[1,6,8,7,2,3,4,5]=>[5,6,2,7,8,4,1,3]
[1,7,8,6,2,3,4,5]=>[5,6,7,2,8,4,1,3]
[7,8,1,6,2,3,4,5]=>[5,6,7,8,3,1,4,2]
[6,8,1,7,2,3,4,5]=>[5,6,7,1,8,3,4,2]
[4,8,2,1,7,3,5,6]=>[3,1,6,7,8,4,5,2]
[3,2,8,1,7,4,5,6]=>[1,6,7,8,2,4,5,3]
[3,2,1,8,7,4,5,6]=>[1,6,7,8,2,5,3,4]
[5,1,8,2,7,3,4,6]=>[6,7,1,8,4,5,2,3]
[6,1,8,7,2,3,4,5]=>[5,6,7,1,8,4,2,3]
[8,1,7,6,2,3,4,5]=>[5,6,7,8,4,2,3,1]
[1,8,7,6,2,3,4,5]=>[5,6,7,8,4,3,1,2]
[6,3,5,1,2,4,8,7]=>[2,8,4,5,3,1,6,7]
[4,3,5,6,1,2,8,7]=>[2,1,3,8,5,4,6,7]
[8,3,7,5,2,1,4,6]=>[6,2,5,7,4,8,3,1]
[6,3,7,5,1,8,4,2]=>[8,7,2,1,5,4,3,6]
[6,5,2,7,1,8,3,4]=>[7,8,3,2,1,5,4,6]
[8,5,2,7,4,1,3,6]=>[6,7,3,2,5,8,4,1]
[2,6,1,5,4,3,8,7]=>[5,4,8,1,3,2,6,7]
[6,4,3,5,1,2,8,7]=>[3,2,8,5,4,1,6,7]
[5,3,1,4,6,2,8,7]=>[4,2,5,1,8,3,6,7]
[3,1,4,6,5,2,8,7]=>[1,5,3,4,8,2,6,7]
[5,7,4,6,2,8,3,1]=>[1,3,8,5,4,2,7,6]
[8,1,4,7,2,6,3,5]=>[3,7,8,5,6,2,4,1]
[3,4,7,8,5,2,1,6]=>[7,6,1,2,5,3,8,4]
[2,1,8,5,7,3,4,6]=>[6,4,7,8,1,5,2,3]
[8,6,3,5,1,7,4,2]=>[8,3,7,5,4,2,6,1]
[5,8,2,4,6,7,3,1]=>[4,1,5,8,3,7,6,2]
[3,4,8,6,5,7,1,2]=>[7,5,1,2,4,8,6,3]
[7,5,4,8,1,6,3,2]=>[3,2,8,7,5,1,6,4]
[5,1,4,6,8,2,7,3]=>[3,4,1,8,6,7,2,5]
[2,5,4,6,7,1,8,3]=>[3,2,4,8,1,6,5,7]
[2,4,6,3,7,5,8,1]=>[6,2,4,1,3,5,8,7]
[4,1,6,3,8,5,7,2]=>[1,6,3,8,4,7,2,5]
[3,7,4,2,8,6,5,1]=>[8,3,7,1,4,2,6,5]
[7,4,1,3,5,8,6,2]=>[8,4,2,5,7,3,1,6]
[6,5,8,4,1,7,3,2]=>[2,1,8,7,5,4,6,3]
[8,5,3,7,4,1,6,2]=>[8,3,2,6,5,7,4,1]
[2,1,4,8,3,7,6,5]=>[8,7,1,3,5,6,2,4]
[7,4,3,8,2,1,6,5]=>[3,2,5,8,6,1,7,4]
[6,3,7,4,1,8,2,5]=>[7,2,4,1,8,5,3,6]
[8,3,1,2,5,7,6,4]=>[2,8,5,7,3,4,6,1]
[3,1,8,2,7,6,5,4]=>[8,7,1,6,4,5,2,3]
[2,3,8,1,6,7,5,4]=>[5,8,7,1,2,4,6,3]
[4,3,7,2,6,8,5,1]=>[1,5,8,2,4,3,7,6]
[4,7,2,3,8,5,6,1]=>[1,6,8,3,4,2,7,5]
[3,8,2,1,7,5,6,4]=>[6,8,1,3,7,4,5,2]
[2,8,1,3,6,5,7,4]=>[6,5,8,1,3,4,7,2]
[2,7,8,5,4,3,1,6]=>[7,6,5,4,1,2,8,3]
[8,7,1,6,3,4,2,5]=>[5,7,6,8,3,4,2,1]
[3,8,6,7,2,4,1,5]=>[5,7,6,1,3,8,4,2]
[5,3,8,7,4,2,6,1]=>[1,6,5,8,2,7,4,3]
[4,3,8,7,2,1,6,5]=>[1,5,8,2,6,7,4,3]
[8,3,6,1,4,2,7,5]=>[2,5,8,4,6,3,7,1]
[7,3,5,8,2,4,1,6]=>[5,2,3,7,6,1,8,4]
[2,3,4,1,8,5,7,6]=>[8,1,2,3,6,7,4,5]
[4,1,3,2,6,7,8,5]=>[3,5,1,6,8,2,4,7]
[8,3,5,6,2,7,1,4]=>[5,2,3,7,4,8,6,1]
[5,3,6,1,8,7,2,4]=>[7,2,1,3,8,6,4,5]
[5,6,2,8,7,4,1,3]=>[1,7,2,8,6,3,5,4]
[7,8,5,6,1,4,2,3]=>[7,8,5,3,1,6,4,2]
[2,8,6,5,4,7,1,3]=>[7,5,4,3,8,1,6,2]
[8,1,6,4,5,7,2,3]=>[4,7,5,3,8,2,6,1]
[5,8,3,6,1,7,2,4]=>[3,1,7,8,5,4,6,2]
[2,1,8,6,5,7,3,4]=>[7,5,4,8,1,6,2,3]
[2,1,7,5,3,6,8,4]=>[6,4,8,1,5,2,3,7]
[6,7,3,5,2,1,8,4]=>[3,5,1,8,6,4,2,7]
[7,1,4,2,5,6,8,3]=>[5,3,6,8,2,4,1,7]
[2,7,4,1,6,5,8,3]=>[3,6,5,8,1,4,2,7]
[4,6,1,2,8,7,3,5]=>[1,7,8,6,3,2,4,5]
[2,4,1,5,8,7,6,3]=>[8,2,7,1,4,6,3,5]
[4,1,2,5,8,6,7,3]=>[6,1,8,4,7,2,3,5]
[6,4,2,1,5,8,7,3]=>[8,3,2,5,1,7,4,6]
[8,5,2,4,6,1,7,3]=>[4,8,3,2,6,5,7,1]
[7,5,3,2,6,8,1,4]=>[3,7,4,2,5,1,8,6]
[2,1,5,3,6,8,7,4]=>[3,8,1,5,7,2,4,6]
[7,3,5,4,6,1,8,2]=>[4,2,3,8,6,5,1,7]
[6,3,4,1,5,7,8,2]=>[2,5,3,6,1,8,4,7]
[4,3,1,5,7,6,8,2]=>[2,1,6,4,5,8,3,7]
[3,1,4,5,6,8,7,2]=>[1,8,3,4,5,7,2,6]
[4,5,2,6,3,1,8,7]=>[1,5,3,2,4,8,6,7]
[6,5,2,1,4,3,8,7]=>[3,5,8,4,2,1,6,7]
[6,5,2,7,4,8,3,1]=>[5,4,2,1,8,3,7,6]
[8,5,2,7,4,1,6,3]=>[8,6,3,2,5,7,4,1]
[8,3,7,5,2,1,6,4]=>[5,8,2,6,4,7,3,1]
[6,3,7,5,2,8,4,1]=>[8,5,2,1,4,3,7,6]
[3,1,6,5,4,2,8,7]=>[5,1,4,3,8,2,6,7]
[5,6,3,2,4,1,8,7]=>[4,3,1,5,2,8,6,7]
[3,6,2,4,1,5,8,7]=>[1,3,4,8,5,2,6,7]
[2,6,1,3,5,4,8,7]=>[5,8,1,3,4,2,6,7]
[6,7,2,3,4,8,5,1]=>[8,3,4,1,5,2,7,6]
[8,7,2,3,4,1,6,5]=>[3,4,5,8,6,7,2,1]
[5,1,7,3,8,4,6,2]=>[6,1,8,4,3,7,2,5]
[2,5,7,3,8,6,4,1]=>[8,2,7,4,1,3,6,5]
[7,6,1,3,5,8,4,2]=>[5,8,4,7,3,2,1,6]
[3,6,7,4,1,8,5,2]=>[4,2,8,1,7,5,3,6]
[5,6,3,7,4,8,1,2]=>[1,7,3,2,5,4,8,6]
[2,1,6,7,4,8,5,3]=>[3,8,5,1,4,7,2,6]
[2,1,8,7,4,3,6,5]=>[5,8,6,7,1,4,2,3]
[5,8,3,7,4,2,6,1]=>[1,6,3,5,8,7,4,2]
[3,8,7,4,1,2,6,5]=>[8,5,1,4,6,7,3,2]
[7,8,1,3,5,2,6,4]=>[8,4,6,3,5,1,7,2]
[5,8,7,3,2,6,1,4]=>[1,5,4,7,8,6,3,2]
[2,8,6,3,1,5,7,4]=>[4,6,8,5,1,3,7,2]
[8,1,6,3,2,5,4,7]=>[4,7,5,6,2,3,8,1]
[2,8,4,1,6,3,7,5]=>[3,8,6,1,4,5,7,2]
[4,8,1,2,7,6,3,5]=>[1,7,8,6,3,4,5,2]
[3,8,4,2,5,7,1,6]=>[4,1,3,5,7,8,6,2]
[6,8,3,5,2,7,4,1]=>[8,3,1,5,4,7,6,2]
[2,1,5,3,8,7,6,4]=>[8,3,7,1,6,2,4,5]
[6,5,3,2,8,7,1,4]=>[3,7,2,1,8,4,6,5]
[7,5,2,4,8,1,6,3]=>[4,8,3,2,6,1,7,5]
[3,4,2,8,5,7,6,1]=>[8,1,2,5,7,3,6,4]
[2,4,1,8,7,6,5,3]=>[8,7,2,6,1,5,3,4]
[8,4,2,1,7,5,3,6]=>[7,3,2,6,8,4,5,1]
[4,3,1,8,6,7,5,2]=>[1,5,8,2,7,6,3,4]
[3,1,4,8,6,5,7,2]=>[6,1,5,8,3,7,2,4]
[7,1,6,5,4,8,2,3]=>[7,5,4,3,8,2,1,6]
[3,7,5,6,8,4,2,1]=>[3,4,2,8,1,7,6,5]
[5,7,1,6,8,2,4,3]=>[1,8,6,4,7,3,2,5]
[8,6,2,5,1,7,4,3]=>[8,7,3,5,4,2,6,1]
[5,6,2,1,8,7,3,4]=>[7,1,8,3,2,6,4,5]
[4,6,2,5,8,3,7,1]=>[1,4,6,2,8,3,7,5]
[7,5,2,6,3,8,1,4]=>[5,7,3,2,4,1,8,6]
[4,1,2,3,6,8,7,5]=>[8,5,1,7,2,3,4,6]
[2,4,3,1,8,5,6,7]=>[3,1,2,6,7,8,4,5]
[7,5,2,8,3,4,6,1]=>[5,6,2,8,3,1,7,4]
[5,6,2,8,4,3,1,7]=>[1,7,6,3,2,5,8,4]
[4,7,2,8,1,5,3,6]=>[1,7,3,5,6,2,8,4]
[8,7,2,1,4,5,6,3]=>[3,5,6,8,4,7,2,1]
[3,6,8,7,1,5,4,2]=>[2,8,7,1,5,6,4,3]
[5,7,8,6,3,4,1,2]=>[7,1,5,2,8,6,4,3]
[7,1,8,5,4,3,6,2]=>[6,5,4,8,7,2,1,3]
[2,7,8,4,5,3,6,1]=>[4,6,5,2,8,1,7,3]
[5,7,3,8,1,4,6,2]=>[3,1,6,8,5,2,7,4]
[2,1,7,8,5,4,6,3]=>[6,5,3,8,1,7,2,4]
[2,1,5,8,4,6,3,7]=>[3,5,7,1,6,8,2,4]
[6,5,3,8,4,1,2,7]=>[3,6,2,1,7,5,8,4]
[7,5,8,4,3,6,2,1]=>[2,5,4,1,8,7,6,3]
[2,4,8,3,5,6,1,7]=>[2,4,5,7,1,6,8,3]
[4,1,8,3,6,5,2,7]=>[1,7,4,6,5,8,2,3]
[3,4,8,1,7,2,5,6]=>[1,2,6,7,8,4,5,3]
[8,4,1,3,7,2,6,5]=>[8,4,2,6,7,3,5,1]
[3,1,8,2,4,7,6,5]=>[8,1,7,4,5,6,2,3]
[2,3,8,1,4,6,7,5]=>[6,8,1,2,4,5,7,3]
[4,3,8,2,5,1,7,6]=>[2,1,4,5,8,6,7,3]
[6,3,8,4,2,5,7,1]=>[5,2,4,1,6,8,7,3]
[7,4,3,8,2,5,1,6]=>[3,2,5,7,6,1,8,4]
[2,1,4,8,3,5,7,6]=>[8,1,3,5,6,7,2,4]
[6,8,2,4,3,5,1,7]=>[5,3,4,1,7,6,8,2]
[4,8,2,3,5,1,6,7]=>[3,1,4,6,5,7,8,2]
[3,8,2,1,4,6,5,7]=>[1,3,7,4,5,6,8,2]
[2,8,1,3,4,5,7,6]=>[8,1,3,4,5,6,7,2]
[2,8,4,1,6,5,3,7]=>[3,7,6,1,4,5,8,2]
[2,8,4,1,6,5,7,3]=>[3,6,5,8,1,4,7,2]
[2,8,7,6,1,4,3,5]=>[7,5,6,8,4,1,3,2]
[2,8,5,6,7,4,3,1]=>[3,4,8,7,6,1,5,2]
[7,5,8,6,1,4,2,3]=>[7,2,8,5,1,6,4,3]
[3,5,7,6,1,4,2,8]=>[2,7,1,5,6,4,3,8]
[3,5,7,2,4,1,6,8]=>[4,1,2,6,5,7,3,8]
[7,5,8,2,4,1,6,3]=>[8,4,2,6,5,1,7,3]
[2,8,5,3,4,7,6,1]=>[8,4,3,5,7,1,6,2]
[2,8,5,3,4,1,7,6]=>[4,5,3,8,1,6,7,2]
[2,8,5,3,4,1,6,7]=>[4,6,5,1,3,7,8,2]
[2,8,7,6,1,4,5,3]=>[6,8,5,7,4,1,3,2]
[2,8,5,3,6,1,7,4]=>[8,4,3,6,1,5,7,2]
[2,8,5,6,7,4,1,3]=>[3,7,4,8,6,1,5,2]
[2,8,5,3,4,7,1,6]=>[4,5,3,7,8,1,6,2]
[2,8,5,3,4,6,1,7]=>[4,5,3,7,1,6,8,2]
[2,8,5,3,4,6,7,1]=>[4,5,3,6,8,1,7,2]
[3,5,7,2,4,6,1,8]=>[4,1,2,5,7,6,3,8]
[6,5,2,7,3,1,4,8]=>[6,3,5,2,1,7,4,8]
[6,5,2,8,3,1,7,4]=>[5,8,3,2,1,6,7,4]
[6,5,2,8,3,1,4,7]=>[6,3,5,2,1,7,8,4]
[7,5,8,2,4,6,3,1]=>[5,2,8,4,1,7,6,3]
[7,5,8,6,1,4,3,2]=>[2,8,7,5,1,6,4,3]
[6,5,8,2,1,3,7,4]=>[4,8,5,2,1,6,7,3]
[3,5,6,2,1,8,7,4]=>[2,8,1,4,3,7,5,6]
[3,5,7,6,1,4,8,2]=>[2,6,8,1,5,4,3,7]
[3,5,7,2,4,1,8,6]=>[4,1,2,5,8,6,3,7]
[3,5,7,2,4,6,8,1]=>[4,1,2,5,6,3,8,7]
[6,5,2,7,3,1,8,4]=>[5,8,3,2,1,6,4,7]
[4,5,2,6,3,1,7,8]=>[1,6,3,2,5,4,7,8]
[4,1,2,3,7,6,8,5]=>[6,5,1,8,2,3,4,7]
[6,5,2,7,3,4,8,1]=>[5,6,3,2,1,4,8,7]
[5,1,6,7,4,3,8,2]=>[3,1,6,5,4,8,2,7]
[5,1,2,6,4,8,7,3]=>[4,8,5,1,7,2,3,6]
[5,1,2,8,6,4,7,3]=>[6,5,1,8,7,2,3,4]
[5,1,6,8,7,3,4,2]=>[3,1,6,8,7,5,2,4]
[6,5,2,8,3,7,4,1]=>[8,5,2,1,7,3,6,4]
[4,1,2,3,8,7,5,6]=>[7,1,8,6,2,3,4,5]
[4,1,2,3,8,6,5,7]=>[7,6,1,8,2,3,4,5]
[4,1,2,3,8,6,7,5]=>[6,1,8,7,2,3,4,5]
[4,1,2,3,7,6,5,8]=>[7,6,2,1,3,4,5,8]
[4,1,2,3,8,5,7,6]=>[8,6,1,7,2,3,4,5]
[7,1,6,8,4,3,5,2]=>[6,5,3,8,7,2,1,4]
[6,1,2,8,4,5,7,3]=>[5,6,8,7,2,1,3,4]
[5,6,8,2,3,1,7,4]=>[4,1,5,2,8,6,7,3]
[6,5,8,2,4,3,1,7]=>[7,4,2,1,6,5,8,3]
[6,5,8,2,4,3,7,1]=>[6,4,2,1,5,8,7,3]
[7,5,2,8,3,4,1,6]=>[5,7,3,2,6,1,8,4]
[6,5,2,8,3,7,1,4]=>[5,7,2,1,8,3,6,4]
[6,5,2,7,3,4,1,8]=>[5,7,3,2,1,6,4,8]
[5,1,6,7,4,3,2,8]=>[3,1,7,6,5,2,4,8]
[5,1,6,8,7,3,2,4]=>[3,1,7,6,8,5,2,4]
[7,1,6,8,4,3,2,5]=>[7,6,5,3,8,2,1,4]
[5,7,8,6,3,4,2,1]=>[5,1,2,8,7,6,4,3]
[4,1,8,3,6,5,7,2]=>[1,6,4,5,8,7,2,3]
[4,1,8,3,6,2,7,5]=>[1,8,4,6,5,7,2,3]
[3,1,4,8,6,2,7,5]=>[8,1,6,3,5,7,2,4]
[3,1,4,8,6,5,2,7]=>[7,1,6,3,5,8,2,4]
[7,1,6,5,8,3,2,4]=>[7,6,4,3,8,2,1,5]
[4,1,6,7,8,3,2,5]=>[1,3,7,6,4,8,2,5]
[4,1,6,5,7,3,2,8]=>[1,4,3,7,6,2,5,8]
[4,5,2,6,3,7,1,8]=>[1,5,3,2,4,7,6,8]
[4,5,2,7,3,8,1,6]=>[1,5,2,7,3,4,8,6]
[3,5,6,2,4,8,7,1]=>[2,8,1,4,3,5,7,6]
[3,5,6,2,4,8,1,7]=>[4,1,2,5,3,7,8,6]
[3,7,5,6,8,4,1,2]=>[3,7,4,1,2,8,6,5]
[3,6,5,2,8,1,7,4]=>[8,4,1,3,2,6,7,5]
[6,1,2,5,8,4,7,3]=>[4,6,8,7,2,1,3,5]
[7,1,6,5,8,3,4,2]=>[6,4,3,8,7,2,1,5]
[7,5,2,6,3,8,4,1]=>[8,5,3,2,4,1,7,6]
[4,1,2,3,5,8,7,6]=>[8,7,2,1,3,4,5,6]
[4,1,2,3,7,8,6,5]=>[5,1,8,7,2,3,4,6]
[4,5,2,7,3,8,6,1]=>[1,2,8,5,3,4,7,6]
[4,1,6,7,8,3,5,2]=>[1,3,6,4,8,7,2,5]
[4,1,2,6,8,5,7,3]=>[4,1,6,8,7,2,3,5]
[4,1,2,5,6,8,7,3]=>[8,4,1,5,7,2,3,6]
[4,5,2,6,3,7,8,1]=>[1,5,3,2,4,6,8,7]
[7,8,5,6,1,4,3,2]=>[8,7,5,3,1,6,4,2]
[7,8,4,2,1,5,3,6]=>[4,7,5,3,6,1,8,2]
[7,8,2,1,6,5,3,4]=>[7,8,3,6,4,1,5,2]
[6,4,1,2,5,7,3,8]=>[5,7,3,2,4,1,6,8]
[2,4,8,1,5,7,3,6]=>[2,5,7,8,1,4,6,3]
[4,3,8,1,7,2,5,6]=>[2,1,6,7,8,4,5,3]
[6,3,1,4,7,2,5,8]=>[4,2,6,7,3,1,5,8]
[7,8,3,4,5,1,6,2]=>[3,4,8,6,5,1,7,2]
[7,8,3,5,4,2,1,6]=>[7,3,6,5,4,1,8,2]
[7,8,4,1,2,3,6,5]=>[8,4,5,3,6,1,7,2]
[7,8,3,6,5,4,1,2]=>[7,8,3,1,6,5,4,2]
[7,8,2,1,5,3,4,6]=>[3,6,7,4,5,1,8,2]
[7,8,2,6,4,1,3,5]=>[6,7,3,5,1,8,4,2]
[7,8,2,5,6,4,1,3]=>[7,4,8,3,1,6,5,2]
[7,8,1,6,5,4,3,2]=>[8,7,6,5,3,1,4,2]
[6,2,1,7,5,4,3,8]=>[7,6,2,5,3,1,4,8]
[2,1,8,7,5,4,3,6]=>[7,6,5,8,1,4,2,3]
[1,3,8,2,6,4,7,5]=>[8,6,2,4,5,7,1,3]
[5,3,7,1,6,4,8,2]=>[6,2,1,5,8,4,3,7]
[5,3,6,2,7,4,1,8]=>[7,2,1,4,3,6,5,8]
[6,1,2,5,8,7,4,3]=>[8,4,7,6,2,1,3,5]
[6,3,1,8,4,2,7,5]=>[2,5,8,6,1,7,3,4]
[6,4,2,1,5,3,8,7]=>[3,5,2,8,4,1,6,7]
[6,4,3,7,5,8,1,2]=>[2,7,3,1,5,4,8,6]
[4,3,8,7,5,6,1,2]=>[7,1,5,8,2,6,4,3]
[2,4,7,1,5,3,6,8]=>[2,6,1,4,5,7,3,8]
[1,3,7,6,4,2,8,5]=>[5,8,6,2,4,1,3,7]
[2,1,7,5,6,8,4,3]=>[4,5,3,8,1,7,2,6]
[3,7,2,8,6,4,1,5]=>[7,6,8,1,3,2,5,4]
[3,8,1,7,6,4,5,2]=>[6,8,7,1,5,3,4,2]
[1,8,5,7,3,6,4,2]=>[3,8,5,7,6,4,1,2]
[2,7,5,8,3,6,1,4]=>[5,3,7,2,8,1,6,4]
[1,5,6,8,2,4,7,3]=>[2,6,3,8,5,7,1,4]
[2,6,8,5,3,1,4,7]=>[6,5,2,7,1,4,8,3]
[2,6,1,4,7,3,5,8]=>[4,6,7,1,3,2,5,8]
[5,6,7,3,8,4,1,2]=>[1,4,2,7,3,8,6,5]
[5,2,8,1,4,7,3,6]=>[5,7,1,8,2,4,6,3]
[4,6,7,5,2,1,3,8]=>[6,1,5,2,7,4,3,8]
[4,5,6,7,2,8,1,3]=>[1,2,5,3,7,4,8,6]
[4,5,7,6,1,8,3,2]=>[8,1,2,7,5,4,3,6]
[1,5,8,6,2,7,3,4]=>[2,7,8,5,4,6,1,3]
[1,6,5,8,3,2,7,4]=>[5,3,2,8,6,7,1,4]
[4,6,5,7,1,2,8,3]=>[8,1,5,3,2,6,4,7]
[4,7,5,6,3,1,8,2]=>[3,8,1,6,5,4,2,7]
[5,1,6,3,4,2,8,7]=>[4,5,3,1,8,2,6,7]
[5,7,1,4,2,3,8,6]=>[8,5,3,1,4,6,2,7]
[5,7,6,4,3,8,1,2]=>[7,1,5,4,3,2,8,6]
[6,3,4,5,8,7,1,2]=>[2,3,4,1,7,8,6,5]
[6,2,4,1,8,3,7,5]=>[3,8,2,6,1,7,4,5]
[6,2,3,5,4,8,1,7]=>[5,2,3,4,1,7,8,6]
[6,1,3,4,5,8,7,2]=>[8,3,4,5,1,7,2,6]
[5,1,4,2,7,6,8,3]=>[3,6,5,1,8,2,4,7]
[1,6,2,4,7,8,3,5]=>[7,4,5,2,8,1,3,6]
[5,7,2,4,1,6,3,8]=>[7,3,1,5,4,6,2,8]
[6,1,4,2,8,5,3,7]=>[3,7,6,8,2,1,4,5]
[6,7,5,8,1,4,3,2]=>[1,8,7,5,3,2,6,4]
[5,8,7,6,3,4,1,2]=>[7,1,5,8,6,4,3,2]
[5,8,7,6,2,3,1,4]=>[1,5,7,6,8,4,3,2]
[4,1,7,2,6,5,3,8]=>[1,7,6,4,5,2,3,8]
[4,8,2,1,5,6,3,7]=>[3,1,5,7,4,6,8,2]
[4,2,7,8,1,6,3,5]=>[1,7,8,5,2,3,6,4]
[2,1,8,7,6,5,3,4]=>[7,8,6,5,1,4,2,3]
[3,1,4,7,8,2,6,5]=>[8,1,6,3,4,7,2,5]
[3,1,7,4,5,6,8,2]=>[1,4,5,6,3,8,2,7]
[4,2,7,1,6,3,8,5]=>[1,8,6,2,4,5,3,7]
[4,3,7,5,6,8,1,2]=>[1,4,7,2,5,3,8,6]
[4,8,6,3,5,7,1,2]=>[4,7,1,5,3,8,6,2]
[4,8,1,2,5,3,7,6]=>[5,1,8,3,4,6,7,2]
[3,8,6,5,2,4,1,7]=>[5,7,6,1,4,3,8,2]
[3,8,5,6,1,4,7,2]=>[6,3,8,1,5,4,7,2]
[5,3,7,8,2,1,6,4]=>[5,1,8,2,6,3,7,4]
[5,2,8,7,1,6,4,3]=>[1,8,7,5,6,2,4,3]
[1,6,8,7,5,2,4,3]=>[2,8,6,7,5,4,1,3]
[3,6,7,8,5,1,4,2]=>[2,8,6,1,3,7,5,4]
[3,7,6,8,5,2,1,4]=>[7,6,3,1,2,8,5,4]
[3,7,8,5,1,2,4,6]=>[5,6,7,1,4,2,8,3]
[3,7,1,6,4,2,5,8]=>[6,1,5,7,3,4,2,8]
[4,1,8,6,2,3,5,7]=>[5,1,6,7,4,8,2,3]
[4,7,8,6,3,5,1,2]=>[7,5,1,2,8,6,4,3]
[3,8,7,6,5,4,1,2]=>[7,8,6,5,1,4,3,2]
[2,1,7,6,5,3,4,8]=>[6,7,5,1,4,2,3,8]
[2,8,1,6,4,5,3,7]=>[5,7,6,1,3,4,8,2]
[2,8,7,5,1,4,3,6]=>[7,5,6,4,8,1,3,2]
[2,8,6,7,5,1,3,4]=>[6,7,3,8,5,1,4,2]
[2,7,8,6,5,4,1,3]=>[7,2,8,6,5,1,4,3]
[6,3,1,2,7,4,8,5]=>[2,8,6,3,4,1,5,7]
[6,4,2,7,1,3,8,5]=>[8,3,2,5,1,6,4,7]
[7,4,2,5,1,3,8,6]=>[8,3,2,5,4,6,1,7]
[7,5,3,6,1,8,2,4]=>[3,7,2,8,5,4,1,6]
[8,5,3,6,1,7,2,4]=>[3,7,2,8,5,4,6,1]
[8,3,6,2,4,7,1,5]=>[2,4,5,7,3,8,6,1]
[7,3,6,2,4,8,1,5]=>[2,4,5,7,3,1,8,6]
[4,3,7,1,2,5,8,6]=>[2,1,8,4,5,6,3,7]
[3,6,2,7,1,4,8,5]=>[8,1,3,5,2,6,4,7]
[5,3,6,7,1,2,8,4]=>[8,2,1,5,3,6,4,7]
[6,3,7,4,1,2,8,5]=>[8,2,5,4,1,6,3,7]
[4,7,1,5,2,3,8,6]=>[1,8,5,3,4,6,2,7]
[3,7,5,1,2,4,8,6]=>[8,1,4,5,3,6,2,7]
[7,6,4,2,3,8,1,5]=>[4,5,3,7,2,1,8,6]
[8,6,4,2,3,7,1,5]=>[4,5,3,7,2,8,6,1]
[4,7,6,3,8,1,2,5]=>[6,1,4,7,3,2,8,5]
[5,7,4,2,3,8,1,6]=>[4,1,5,3,7,2,8,6]
[3,7,6,1,4,8,2,5]=>[5,7,8,1,4,3,2,6]
[5,7,2,6,1,8,3,4]=>[7,1,8,3,5,4,2,6]
[6,4,7,5,2,8,1,3]=>[2,5,1,7,4,3,8,6]
[7,4,8,5,2,6,1,3]=>[2,5,7,4,1,8,6,3]
[5,8,2,6,3,7,1,4]=>[5,1,7,3,4,8,6,2]
[3,8,6,1,2,7,4,5]=>[7,8,1,4,5,3,6,2]
[3,8,6,2,4,7,1,5]=>[4,5,7,1,3,8,6,2]
[6,8,4,3,7,1,2,5]=>[6,4,3,1,7,8,5,2]
[6,8,5,3,7,1,2,4]=>[6,4,1,7,3,8,5,2]
[3,8,5,7,1,2,4,6]=>[5,6,1,3,7,8,4,2]
[2,8,5,7,1,3,4,6]=>[5,6,3,7,8,1,4,2]
[4,8,6,2,7,1,3,5]=>[1,4,6,7,3,8,5,2]
[7,3,8,5,6,1,2,4]=>[6,7,2,4,1,8,5,3]
[6,3,7,5,8,1,2,4]=>[6,7,2,1,4,3,8,5]
[2,7,6,4,8,1,3,5]=>[6,4,7,3,1,2,8,5]
[2,6,5,8,1,3,4,7]=>[5,6,3,1,2,7,8,4]
[3,6,5,8,1,2,4,7]=>[5,6,1,3,2,7,8,4]
[2,5,7,4,8,1,3,6]=>[2,6,4,7,1,3,8,5]
[5,4,6,7,2,8,1,3]=>[2,1,5,3,7,4,8,6]
[4,6,3,7,1,8,2,5]=>[1,3,7,2,8,5,4,6]
[3,5,7,1,4,8,2,6]=>[5,1,2,7,8,4,3,6]
[5,3,7,2,4,8,1,6]=>[2,4,1,5,7,3,8,6]
[5,4,7,3,8,1,2,6]=>[2,1,6,4,7,3,8,5]
[7,4,6,3,8,1,2,5]=>[2,6,4,7,3,1,8,5]
[8,4,6,3,7,1,2,5]=>[2,6,4,7,3,8,5,1]
[8,4,1,6,7,2,3,5]=>[6,2,7,4,8,3,5,1]
[7,4,1,6,8,2,3,5]=>[6,2,7,4,8,3,1,5]
[5,4,1,7,8,2,3,6]=>[6,2,1,7,4,8,3,5]
[6,5,3,7,1,8,2,4]=>[3,7,2,1,8,5,4,6]
[6,5,1,2,7,8,3,4]=>[7,5,8,3,2,1,4,6]
[5,3,6,4,7,8,1,2]=>[4,2,1,3,7,5,8,6]
[6,3,7,4,8,5,1,2]=>[4,7,2,1,3,8,6,5]
[4,7,1,5,8,6,2,3]=>[1,4,7,8,6,3,2,5]
[7,5,1,2,8,6,3,4]=>[7,8,6,3,2,4,1,5]
[7,5,3,8,1,6,2,4]=>[3,7,2,8,5,1,6,4]
[7,4,1,8,6,2,3,5]=>[6,2,7,8,5,3,1,4]
[7,6,1,8,5,2,3,4]=>[6,7,8,5,3,2,1,4]
[8,6,1,7,5,2,3,4]=>[6,7,8,5,3,2,4,1]
[5,7,2,8,1,6,3,4]=>[7,1,8,3,5,2,6,4]
[6,4,7,8,2,5,1,3]=>[2,5,1,7,3,8,6,4]
[6,3,7,8,5,1,2,4]=>[6,7,2,1,3,8,5,4]
[3,6,8,2,7,1,4,5]=>[4,6,1,2,7,8,5,3]
[2,4,8,7,1,3,5,6]=>[2,5,6,7,8,1,4,3]
[4,3,8,7,1,2,5,6]=>[2,1,5,6,7,8,4,3]
[5,3,8,7,1,2,4,6]=>[2,5,1,6,7,8,4,3]
[8,3,7,6,1,2,4,5]=>[2,5,6,7,8,4,3,1]
[8,4,7,6,1,2,3,5]=>[5,2,6,7,8,4,3,1]
[5,4,8,7,1,2,3,6]=>[5,2,1,6,7,8,4,3]
[3,5,8,7,1,2,4,6]=>[5,1,2,6,7,8,4,3]
[2,5,8,7,1,3,4,6]=>[5,2,6,7,8,1,4,3]
[4,6,8,2,7,1,3,5]=>[1,4,6,2,7,8,5,3]
[4,7,1,8,6,2,3,5]=>[1,6,7,8,5,3,2,4]
[7,5,8,6,4,1,2,3]=>[6,2,7,1,8,5,4,3]
[6,8,4,7,5,1,2,3]=>[6,3,1,7,8,5,4,2]
[5,8,7,1,6,2,3,4]=>[6,1,7,8,4,5,3,2]
[2,8,7,6,1,3,4,5]=>[5,6,7,8,4,1,3,2]
[3,8,7,6,1,2,4,5]=>[5,6,7,8,1,4,3,2]
[4,8,7,6,1,2,3,5]=>[1,5,6,7,8,4,3,2]
[5,6,3,1,4,2,8,7]=>[5,3,1,8,4,2,6,7]
[7,5,3,8,2,1,6,4]=>[3,5,2,8,6,1,7,4]
[3,8,7,4,5,1,6,2]=>[4,8,6,1,5,7,3,2]
[6,7,1,4,5,8,2,3]=>[4,7,5,1,8,3,2,6]
[2,1,7,8,5,3,6,4]=>[8,6,5,1,3,7,2,4]
[5,7,3,8,1,2,6,4]=>[3,1,8,5,6,2,7,4]
[8,7,1,4,5,3,2,6]=>[4,7,6,3,5,8,2,1]
[2,7,8,4,1,6,5,3]=>[4,8,7,5,1,2,6,3]
[7,1,8,4,2,6,5,3]=>[4,8,7,5,6,2,1,3]
[7,5,1,4,8,6,3,2]=>[8,4,2,7,6,3,1,5]
[6,5,3,1,8,4,7,2]=>[3,6,2,1,8,7,4,5]
[6,4,3,8,1,5,7,2]=>[3,2,6,1,8,5,7,4]
[8,6,3,1,2,5,7,4]=>[6,3,8,4,5,2,7,1]
[8,7,1,4,2,6,5,3]=>[4,8,7,3,5,6,2,1]
[7,3,8,4,1,6,5,2]=>[4,8,2,7,5,1,6,3]
[3,6,4,5,7,2,8,1]=>[3,4,1,2,6,5,8,7]
[5,3,2,7,4,6,8,1]=>[2,5,1,6,3,4,8,7]
[7,5,3,6,2,4,8,1]=>[3,5,2,6,4,1,8,7]
[6,3,2,5,1,8,4,7]=>[2,7,3,4,1,8,5,6]
[8,5,3,6,2,7,1,4]=>[3,5,2,7,4,8,6,1]
[8,2,6,3,4,7,1,5]=>[4,5,7,2,3,8,6,1]
[7,2,6,3,4,5,8,1]=>[4,5,6,2,3,1,8,7]
[6,2,7,3,4,5,8,1]=>[4,5,6,2,1,3,8,7]
[3,6,2,7,4,5,8,1]=>[5,6,1,3,2,4,8,7]
[4,2,5,7,3,6,8,1]=>[3,1,5,6,2,4,8,7]
[5,4,7,6,2,3,8,1]=>[2,1,5,6,4,3,8,7]
[6,7,3,5,2,4,8,1]=>[3,5,1,6,4,2,8,7]
[3,7,6,2,4,5,8,1]=>[4,5,6,1,3,2,8,7]
[2,7,6,3,4,5,8,1]=>[4,5,6,3,1,2,8,7]
[6,5,3,1,2,8,4,7]=>[7,3,8,4,2,1,5,6]
[8,6,5,2,3,7,1,4]=>[4,5,7,3,2,8,6,1]
[8,5,2,1,7,3,4,6]=>[3,6,7,2,8,4,5,1]
[7,5,2,1,8,3,4,6]=>[3,6,7,2,8,4,1,5]
[1,6,3,2,8,4,5,7]=>[3,6,7,2,8,1,4,5]
[5,7,3,1,2,8,4,6]=>[7,3,1,8,4,5,2,6]
[5,6,2,3,1,8,4,7]=>[3,4,1,7,2,8,5,6]
[4,2,6,5,1,8,3,7]=>[1,7,4,2,3,8,5,6]
[5,4,8,6,2,7,1,3]=>[2,1,5,7,4,8,6,3]
[6,8,3,5,2,7,1,4]=>[3,5,1,7,4,8,6,2]
[7,8,5,2,3,6,1,4]=>[4,5,7,3,1,8,6,2]
[6,8,2,1,7,3,4,5]=>[3,6,7,1,8,4,5,2]
[1,8,6,3,7,2,4,5]=>[4,6,7,3,8,5,1,2]
[1,8,2,7,3,4,5,6]=>[5,6,7,8,3,4,1,2]
[2,8,1,7,3,4,5,6]=>[5,6,7,8,1,3,4,2]
[3,8,6,1,7,2,4,5]=>[6,7,8,1,4,3,5,2]
[4,8,1,5,7,2,3,6]=>[1,6,4,7,8,3,5,2]
[4,2,8,3,7,1,5,6]=>[4,1,6,7,8,2,5,3]
[4,1,7,5,8,2,3,6]=>[1,6,4,7,3,8,2,5]
[1,7,3,8,2,4,5,6]=>[3,5,6,7,2,8,1,4]
[8,1,2,7,3,4,5,6]=>[5,6,7,8,2,3,4,1]
[4,2,5,7,1,8,3,6]=>[3,1,7,8,2,5,4,6]
[3,6,2,7,1,8,4,5]=>[7,8,1,3,2,5,4,6]
[6,3,7,1,2,8,4,5]=>[2,7,8,4,1,5,3,6]
[7,2,6,1,8,3,4,5]=>[6,7,8,2,4,3,1,5]
[8,2,6,1,7,3,4,5]=>[6,7,8,2,4,3,5,1]
[7,3,1,5,8,2,4,6]=>[2,6,4,7,8,3,1,5]
[3,2,1,5,8,4,6,7]=>[2,1,4,6,7,8,3,5]
[5,4,1,3,6,8,2,7]=>[4,5,2,1,7,8,3,6]
[1,5,3,4,6,8,2,7]=>[3,4,2,5,7,8,1,6]
[4,3,5,1,6,8,2,7]=>[2,1,5,3,7,8,4,6]
[5,4,6,3,8,7,1,2]=>[2,1,4,3,7,8,6,5]
[3,6,4,5,8,7,1,2]=>[3,4,1,2,7,8,6,5]
[6,5,3,4,8,7,1,2]=>[3,4,2,1,7,8,6,5]
[5,3,2,8,7,1,4,6]=>[2,6,1,7,8,3,5,4]
[5,3,1,8,7,2,4,6]=>[2,6,1,7,8,5,3,4]
[8,5,3,7,6,1,2,4]=>[3,6,2,7,8,5,4,1]
[6,1,8,3,7,2,4,5]=>[4,6,7,1,8,5,2,3]
[6,3,8,1,7,2,4,5]=>[2,6,7,1,8,4,5,3]
[7,6,8,2,3,5,1,4]=>[4,5,7,2,1,8,6,3]
[3,7,8,2,4,6,1,5]=>[4,5,7,1,2,8,6,3]
[6,7,3,8,2,5,1,4]=>[3,5,1,7,2,8,6,4]
[5,4,7,8,2,6,1,3]=>[2,1,5,7,3,8,6,4]
[4,2,5,8,7,1,3,6]=>[3,1,6,7,8,2,5,4]
[3,6,2,8,7,1,4,5]=>[6,7,1,2,8,3,5,4]
[3,7,8,1,6,2,4,5]=>[6,7,8,1,4,2,5,3]
[2,3,8,7,1,4,5,6]=>[5,6,7,8,1,2,4,3]
[7,2,8,6,1,3,4,5]=>[5,6,7,8,2,1,4,3]
[2,1,8,7,3,4,5,6]=>[5,6,7,8,1,4,2,3]
[8,2,7,6,1,3,4,5]=>[5,6,7,8,2,4,3,1]
[1,2,8,7,3,4,5,6]=>[5,6,7,8,4,1,2,3]
[1,3,8,7,2,4,5,6]=>[5,6,7,8,2,4,1,3]
[1,7,8,3,6,2,4,5]=>[4,6,7,2,8,5,1,3]
[4,1,5,8,7,2,3,6]=>[3,1,6,7,8,5,2,4]
[5,4,8,7,6,1,2,3]=>[2,1,6,7,8,5,4,3]
[6,8,3,7,5,1,2,4]=>[3,6,1,7,8,5,4,2]
[7,8,6,2,5,1,3,4]=>[4,6,7,1,8,5,3,2]
[8,1,6,7,3,2,5,4]=>[5,8,6,3,7,2,4,1]
[8,1,6,7,3,2,4,5]=>[6,5,7,3,8,2,4,1]
[8,1,5,3,7,2,4,6]=>[4,6,3,7,8,2,5,1]
[8,1,5,3,6,2,4,7]=>[4,6,3,7,2,5,8,1]
[7,5,1,3,6,2,4,8]=>[4,6,7,3,2,5,1,8]
[7,5,8,3,6,2,4,1]=>[4,2,6,1,8,7,5,3]
[7,4,8,3,2,6,5,1]=>[2,4,8,5,1,7,6,3]
[7,4,1,3,2,6,5,8]=>[4,7,3,2,5,6,1,8]
[8,1,4,3,2,6,5,7]=>[4,3,7,2,5,6,8,1]
[8,1,4,3,2,7,5,6]=>[4,3,7,8,2,5,6,1]
[8,1,4,3,2,7,6,5]=>[3,8,4,7,2,5,6,1]
[8,1,5,4,6,7,2,3]=>[4,3,7,5,8,2,6,1]
[8,1,5,3,6,2,7,4]=>[8,4,3,6,2,5,7,1]
[8,1,4,3,2,6,7,5]=>[4,3,6,8,2,5,7,1]
[8,1,4,3,2,5,7,6]=>[4,3,8,2,5,6,7,1]
[8,1,4,3,2,5,6,7]=>[5,4,2,3,6,7,8,1]
[7,4,1,3,2,5,6,8]=>[5,3,4,2,6,7,1,8]
[7,4,8,3,2,5,6,1]=>[2,5,4,6,1,8,7,3]
[6,4,3,8,2,5,7,1]=>[3,2,5,1,6,8,7,4]
[6,4,3,1,2,5,8,7]=>[8,4,3,2,5,1,6,7]
[7,4,1,3,2,5,8,6]=>[4,8,3,2,5,6,1,7]
[7,4,1,3,2,6,8,5]=>[4,6,2,8,3,5,1,7]
[7,5,1,3,6,2,8,4]=>[8,4,6,3,2,5,1,7]
[7,5,1,4,6,8,2,3]=>[4,7,5,2,8,3,1,6]
[7,5,8,3,6,2,1,4]=>[4,2,7,6,1,8,5,3]
[7,4,8,3,2,6,1,5]=>[2,5,4,7,1,8,6,3]
[7,4,8,3,2,5,1,6]=>[2,5,4,7,6,1,8,3]
[6,4,3,8,2,5,1,7]=>[3,2,5,1,7,6,8,4]
[6,4,3,7,2,5,8,1]=>[3,2,5,1,6,4,8,7]
[5,4,3,2,8,6,1,7]=>[3,2,1,7,4,6,8,5]
[5,4,3,2,8,7,1,6]=>[3,2,1,7,8,4,6,5]
[6,5,3,8,7,2,1,4]=>[7,3,2,1,6,8,5,4]
[6,5,4,8,7,1,2,3]=>[6,3,2,1,7,8,5,4]
[6,5,4,1,7,8,2,3]=>[7,5,3,2,1,8,4,6]
[6,5,3,1,7,2,8,4]=>[3,8,6,4,2,1,5,7]
[6,4,3,1,2,7,8,5]=>[6,3,2,8,4,1,5,7]
[5,4,3,2,1,8,6,7]=>[4,3,2,1,7,8,5,6]
[6,5,3,1,8,2,7,4]=>[3,8,6,2,1,7,4,5]
[6,5,4,1,8,7,2,3]=>[7,3,2,1,8,6,4,5]
[7,5,1,4,8,6,2,3]=>[4,7,2,8,6,3,1,5]
[7,4,1,3,2,8,6,5]=>[8,4,2,7,3,5,1,6]
[7,4,1,3,2,8,5,6]=>[4,7,2,8,3,5,1,6]
[6,4,3,1,2,8,5,7]=>[7,3,2,8,4,1,5,6]
[6,4,3,1,2,7,5,8]=>[7,4,3,2,5,1,6,8]
[6,4,3,8,2,7,5,1]=>[2,8,3,1,5,7,6,4]
[6,5,3,8,7,2,4,1]=>[6,2,1,8,3,7,5,4]
[6,5,3,1,7,2,4,8]=>[6,3,7,4,2,1,5,8]
[6,5,3,1,8,2,4,7]=>[6,3,7,2,1,8,4,5]
[7,5,1,3,8,2,4,6]=>[4,6,7,2,8,3,1,5]
[7,6,1,8,3,2,4,5]=>[6,5,7,8,3,2,1,4]
[7,6,1,8,4,5,2,3]=>[7,5,8,6,3,2,1,4]
[7,6,8,1,4,5,2,3]=>[7,5,8,4,2,1,6,3]
[7,6,8,1,3,2,5,4]=>[5,8,4,6,2,1,7,3]
[6,5,3,7,8,2,4,1]=>[6,3,2,1,4,8,7,5]
[6,4,3,7,2,8,5,1]=>[2,8,3,1,5,4,7,6]
[6,4,3,7,2,1,5,8]=>[3,2,6,5,1,7,4,8]
[7,4,8,3,2,1,5,6]=>[2,6,5,4,7,1,8,3]
[7,4,8,3,2,1,6,5]=>[2,5,4,8,6,1,7,3]
[7,5,8,3,1,2,6,4]=>[8,5,4,2,6,1,7,3]
[7,5,8,4,1,6,2,3]=>[7,2,8,5,4,1,6,3]
[6,5,4,8,1,7,2,3]=>[7,3,2,1,8,5,6,4]
[6,5,3,8,1,2,7,4]=>[3,8,5,2,1,6,7,4]
[5,4,3,2,8,1,7,6]=>[3,2,1,8,4,6,7,5]
[6,4,3,7,2,1,8,5]=>[3,2,5,1,8,6,4,7]
[6,5,3,7,1,2,8,4]=>[3,8,5,2,1,6,4,7]
[6,5,4,7,1,8,2,3]=>[7,3,2,1,8,5,4,6]
[6,5,3,7,8,2,1,4]=>[7,3,2,1,6,4,8,5]
[6,4,3,7,2,8,1,5]=>[3,2,5,1,7,4,8,6]
[5,4,3,2,7,8,1,6]=>[3,2,1,7,4,5,8,6]
[5,4,3,2,6,8,1,7]=>[4,3,2,1,5,7,8,6]
[5,6,2,1,3,4,8,7]=>[3,8,4,1,5,2,6,7]
[5,8,2,7,4,1,3,6]=>[6,1,7,3,5,8,4,2]
[5,3,7,8,2,1,4,6]=>[6,2,1,5,7,3,8,4]
[7,6,1,2,5,8,3,4]=>[7,5,8,3,4,2,1,6]
[2,1,7,8,4,3,5,6]=>[6,5,7,1,3,8,2,4]
[8,3,7,4,1,5,6,2]=>[6,2,4,8,5,7,3,1]
[7,8,1,2,5,4,6,3]=>[6,5,8,3,4,1,7,2]
[2,6,8,3,1,4,7,5]=>[4,8,5,1,2,6,7,3]
[6,1,8,3,2,4,5,7]=>[5,4,6,7,1,8,2,3]
[8,4,1,3,7,6,2,5]=>[7,2,8,4,6,3,5,1]
[5,8,7,4,2,1,6,3]=>[1,5,8,6,4,7,3,2]
[7,5,1,6,8,3,4,2]=>[6,4,2,8,7,3,1,5]
[6,5,2,1,8,7,4,3]=>[8,7,3,2,1,6,4,5]
[4,7,2,8,1,3,6,5]=>[1,8,3,5,6,2,7,4]
[7,3,8,6,1,2,5,4]=>[8,2,5,6,1,7,4,3]
[3,4,7,1,8,2,6,5]=>[8,1,2,6,7,4,3,5]
[1,8,2,4,3,5,6,7]=>[5,3,4,6,7,8,1,2]
[1,7,2,4,3,5,6,8]=>[5,3,4,6,7,1,2,8]
[1,6,2,4,3,5,7,8]=>[5,3,4,6,1,2,7,8]
[1,5,2,4,3,6,7,8]=>[5,3,4,1,2,6,7,8]
[1,6,2,5,3,4,7,8]=>[5,6,3,4,1,2,7,8]
[1,7,2,5,3,4,6,8]=>[5,6,3,4,7,1,2,8]
[1,8,2,5,3,4,6,7]=>[5,6,3,4,7,8,1,2]
[1,8,2,6,3,4,5,7]=>[5,6,7,3,4,8,1,2]
[1,7,2,6,3,4,5,8]=>[5,6,7,3,4,1,2,8]
[1,8,2,7,3,5,4,6]=>[7,5,6,8,3,4,1,2]
[1,7,2,8,3,5,4,6]=>[7,5,6,8,3,1,2,4]
[1,6,2,8,3,5,4,7]=>[7,5,6,2,8,1,3,4]
[1,5,2,8,3,6,4,7]=>[7,5,2,6,8,1,3,4]
[1,4,2,8,3,6,5,7]=>[2,7,5,6,8,1,3,4]
[1,3,2,8,4,6,5,7]=>[7,2,5,6,8,1,3,4]
[1,2,3,8,4,6,5,7]=>[7,5,6,8,1,2,3,4]
[1,2,3,7,4,6,5,8]=>[7,5,6,1,2,3,4,8]
[1,3,2,7,4,6,5,8]=>[7,2,5,6,1,3,4,8]
[1,4,2,7,3,6,5,8]=>[2,7,5,6,1,3,4,8]
[1,5,2,7,3,6,4,8]=>[7,5,2,6,1,3,4,8]
[1,6,2,7,3,5,4,8]=>[7,5,6,3,1,2,4,8]
[1,7,2,6,3,5,4,8]=>[7,5,6,3,4,1,2,8]
[1,8,2,6,3,5,4,7]=>[7,5,6,3,4,8,1,2]
[1,8,2,5,3,6,4,7]=>[7,5,3,4,6,8,1,2]
[1,7,2,5,3,6,4,8]=>[7,5,3,4,6,1,2,8]
[1,6,2,5,3,7,4,8]=>[7,5,3,4,1,2,6,8]
[1,5,2,4,3,7,6,8]=>[4,7,3,1,2,5,6,8]
[1,6,2,4,3,7,5,8]=>[4,7,3,5,1,2,6,8]
[1,7,2,4,3,6,5,8]=>[4,7,3,5,6,1,2,8]
[1,8,2,4,3,6,5,7]=>[4,7,3,5,6,8,1,2]
[1,8,2,3,4,6,5,7]=>[7,3,4,5,6,8,1,2]
[1,7,2,3,4,6,5,8]=>[7,3,4,5,6,1,2,8]
[1,8,2,3,4,7,5,6]=>[7,8,3,4,5,6,1,2]
[1,8,2,4,3,7,5,6]=>[4,7,8,3,5,6,1,2]
[1,7,2,4,3,8,5,6]=>[4,7,8,3,5,1,2,6]
[1,6,2,4,3,8,5,7]=>[4,7,8,3,1,2,5,6]
[1,5,2,4,3,8,6,7]=>[4,7,2,8,1,3,5,6]
[1,6,2,5,3,8,4,7]=>[7,4,8,3,1,2,5,6]
[1,7,2,5,3,8,4,6]=>[7,4,8,3,5,1,2,6]
[1,8,2,5,3,7,4,6]=>[7,4,8,3,5,6,1,2]
[1,8,2,6,3,7,4,5]=>[7,8,5,3,4,6,1,2]
[1,7,2,6,3,8,4,5]=>[7,8,5,3,4,1,2,6]
[1,2,3,8,4,7,5,6]=>[7,8,5,6,1,2,3,4]
[1,3,2,8,4,7,5,6]=>[7,8,2,5,6,1,3,4]
[1,4,2,8,3,7,5,6]=>[2,7,8,5,6,1,3,4]
[1,5,2,8,3,7,4,6]=>[7,2,8,5,6,1,3,4]
[1,6,2,8,3,7,4,5]=>[7,8,5,2,6,1,3,4]
[1,7,2,8,3,6,4,5]=>[7,8,5,6,3,1,2,4]
[1,8,2,7,3,6,4,5]=>[7,8,5,6,3,4,1,2]
[4,6,3,7,2,5,1,8]=>[1,3,5,2,7,6,4,8]
[4,6,3,7,5,2,1,8]=>[7,1,3,2,6,5,4,8]
[4,6,3,8,5,1,7,2]=>[8,1,3,2,6,5,7,4]
[4,6,3,8,5,1,2,7]=>[1,3,6,2,7,5,8,4]
[5,6,8,3,4,1,2,7]=>[1,6,4,2,7,5,8,3]
[5,6,8,3,4,1,7,2]=>[1,4,2,8,6,5,7,3]
[4,6,2,7,5,3,1,8]=>[7,1,6,3,2,5,4,8]
[5,6,7,2,4,3,1,8]=>[1,7,4,2,6,5,3,8]
[5,6,8,4,3,1,7,2]=>[1,2,8,6,5,4,7,3]
[5,6,8,4,3,1,2,7]=>[1,6,2,7,5,4,8,3]
[5,7,8,4,1,6,2,3]=>[1,7,8,5,4,2,6,3]
[5,7,8,4,1,6,3,2]=>[8,1,7,5,4,2,6,3]
[5,7,8,4,1,3,6,2]=>[1,6,8,5,4,2,7,3]
[5,6,8,4,2,1,7,3]=>[1,5,2,8,6,4,7,3]
[5,6,8,2,4,1,7,3]=>[1,8,4,2,6,5,7,3]
[4,6,2,8,5,1,7,3]=>[8,1,6,3,2,5,7,4]
[3,2,6,8,5,1,7,4]=>[3,8,1,6,2,5,7,4]
[3,2,6,8,5,1,4,7]=>[6,1,3,7,2,5,8,4]
[4,6,2,8,5,1,3,7]=>[1,6,7,3,2,5,8,4]
[5,6,8,2,4,1,3,7]=>[4,1,6,2,7,5,8,3]
[5,6,8,4,2,1,3,7]=>[1,6,5,2,7,4,8,3]
[5,7,8,4,1,3,2,6]=>[1,7,5,6,4,2,8,3]
[5,7,8,4,1,2,6,3]=>[1,8,5,6,4,2,7,3]
[5,7,8,4,1,2,3,6]=>[5,1,6,7,4,2,8,3]
[6,7,8,1,5,2,3,4]=>[6,7,1,8,4,2,5,3]
[6,7,8,1,5,2,4,3]=>[8,6,1,7,4,2,5,3]
[6,7,8,1,5,3,2,4]=>[7,6,1,8,4,2,5,3]
[6,7,8,1,3,5,2,4]=>[5,7,1,8,4,2,6,3]
[5,7,8,2,1,6,3,4]=>[4,1,7,8,5,2,6,3]
[4,7,2,8,1,6,3,5]=>[1,7,8,3,5,2,6,4]
[3,2,7,8,1,6,4,5]=>[7,8,1,5,2,3,6,4]
[3,2,7,8,1,6,5,4]=>[8,7,1,5,2,3,6,4]
[4,7,2,8,1,6,5,3]=>[8,1,7,3,5,2,6,4]
[5,7,8,2,1,6,4,3]=>[1,8,4,7,5,2,6,3]
[6,7,8,1,3,5,4,2]=>[8,5,1,7,4,2,6,3]
[6,7,8,1,5,3,4,2]=>[6,1,8,7,4,2,5,3]
[6,7,8,1,5,4,3,2]=>[1,8,7,6,4,2,5,3]
[6,7,8,1,5,4,2,3]=>[7,1,8,6,4,2,5,3]
[6,7,8,1,4,5,2,3]=>[7,5,1,8,4,2,6,3]
[6,7,8,1,4,5,3,2]=>[5,1,8,7,4,2,6,3]
[6,7,8,1,4,3,5,2]=>[6,5,1,8,4,2,7,3]
[6,7,8,1,3,4,5,2]=>[5,6,1,8,4,2,7,3]
[5,7,8,2,1,4,6,3]=>[4,1,6,8,5,2,7,3]
[4,7,2,8,1,5,6,3]=>[1,6,8,3,5,2,7,4]
[3,2,7,8,1,5,6,4]=>[6,8,1,5,2,3,7,4]
[3,2,6,8,4,1,7,5]=>[5,1,3,8,2,6,7,4]
[4,6,2,8,3,1,7,5]=>[1,5,8,3,2,6,7,4]
[5,6,8,3,2,1,7,4]=>[1,5,4,2,8,6,7,3]
[5,7,8,3,1,4,6,2]=>[1,6,4,8,5,2,7,3]
[5,7,8,3,1,6,4,2]=>[1,4,8,7,5,2,6,3]
[5,7,8,3,1,6,2,4]=>[1,7,4,8,5,2,6,3]
[4,7,3,8,1,6,2,5]=>[1,3,7,8,5,2,6,4]
[4,7,3,8,1,6,5,2]=>[8,1,3,7,5,2,6,4]
[4,7,3,8,1,5,6,2]=>[1,3,6,8,5,2,7,4]
[4,6,3,8,2,1,7,5]=>[1,3,5,2,8,6,7,4]
[4,5,3,2,8,1,7,6]=>[1,3,2,8,4,6,7,5]
[4,5,2,3,8,1,7,6]=>[1,8,3,2,4,6,7,5]
[3,2,5,4,8,1,7,6]=>[1,3,8,2,4,6,7,5]
[4,5,3,2,8,1,6,7]=>[1,4,3,2,6,7,8,5]
[4,6,3,8,2,1,5,7]=>[1,3,6,5,2,7,8,4]
[4,7,3,8,1,5,2,6]=>[1,3,7,5,6,2,8,4]
[4,7,3,8,1,2,6,5]=>[1,3,8,5,6,2,7,4]
[4,7,3,8,1,2,5,6]=>[1,5,3,6,7,2,8,4]
[5,7,8,3,1,2,4,6]=>[5,1,6,4,7,2,8,3]
[5,7,8,3,1,2,6,4]=>[1,8,5,4,6,2,7,3]
[5,7,8,3,1,4,2,6]=>[1,7,5,4,6,2,8,3]
[5,6,8,3,2,1,4,7]=>[1,6,5,4,2,7,8,3]
[3,2,7,8,1,5,4,6]=>[7,1,5,6,2,3,8,4]
[5,7,8,2,1,4,3,6]=>[4,1,7,5,6,2,8,3]
[6,7,8,1,3,4,2,5]=>[5,7,4,1,6,2,8,3]
[6,7,8,1,4,3,2,5]=>[7,6,4,1,5,2,8,3]
[6,7,8,1,4,2,5,3]=>[8,6,4,1,5,2,7,3]
[6,7,8,1,4,2,3,5]=>[6,7,4,1,5,2,8,3]
[6,7,8,1,2,5,3,4]=>[7,8,4,1,5,2,6,3]
[6,7,8,1,2,5,4,3]=>[8,7,4,1,5,2,6,3]
[6,7,8,1,2,4,5,3]=>[6,8,4,1,5,2,7,3]
[6,7,8,1,3,2,5,4]=>[5,8,4,1,6,2,7,3]
[5,7,8,2,1,3,6,4]=>[4,1,8,5,6,2,7,3]
[3,2,7,8,1,4,6,5]=>[8,1,5,6,2,3,7,4]
[6,7,8,1,3,2,4,5]=>[6,4,5,1,7,2,8,3]
[6,7,8,1,2,4,3,5]=>[7,4,5,1,6,2,8,3]
[6,7,8,1,2,3,5,4]=>[8,4,5,1,6,2,7,3]
[7,2,8,5,1,6,4,3]=>[8,7,5,2,4,1,6,3]
[1,3,7,5,2,6,4,8]=>[7,5,2,4,6,1,3,8]
[1,3,7,5,4,2,6,8]=>[6,5,2,4,7,1,3,8]
[7,2,8,5,4,1,6,3]=>[8,6,5,2,4,1,7,3]
[2,8,5,4,3,1,7,6]=>[5,4,3,8,1,6,7,2]
[2,8,4,5,6,1,7,3]=>[3,4,8,6,1,5,7,2]
[2,8,6,5,7,3,1,4]=>[7,6,4,3,8,1,5,2]
[2,8,4,5,3,7,1,6]=>[3,5,4,7,8,1,6,2]
[2,8,4,3,5,6,1,7]=>[4,3,5,7,1,6,8,2]
[7,2,8,4,5,6,1,3]=>[4,7,5,8,2,1,6,3]
[1,6,3,7,5,2,4,8]=>[6,7,3,2,5,1,4,8]
[6,2,3,8,5,1,7,4]=>[8,6,2,3,1,5,7,4]
[6,3,2,8,5,1,4,7]=>[2,6,7,3,1,5,8,4]
[7,4,8,2,5,6,3,1]=>[2,5,8,4,1,7,6,3]
[7,4,8,5,2,1,3,6]=>[2,6,5,7,4,1,8,3]
[6,4,8,5,1,3,7,2]=>[2,6,1,8,5,4,7,3]
[6,3,7,5,2,1,8,4]=>[5,8,2,1,6,4,3,7]
[4,3,7,5,1,2,8,6]=>[1,8,2,5,4,6,3,7]
[4,3,7,1,5,6,8,2]=>[2,1,5,6,8,4,3,7]
[3,6,1,7,5,2,8,4]=>[8,6,1,5,3,2,4,7]
[3,4,1,2,7,6,8,5]=>[1,2,6,5,8,3,4,7]
[3,4,2,1,7,5,8,6]=>[1,2,8,3,6,4,5,7]
[3,6,5,7,1,4,8,2]=>[6,3,1,2,8,5,4,7]
[6,5,2,7,4,1,8,3]=>[8,6,3,2,1,5,4,7]
[3,5,2,6,4,8,7,1]=>[4,1,2,8,3,5,7,6]
[5,3,1,8,6,4,7,2]=>[6,2,1,5,8,7,3,4]
[5,6,1,8,7,2,4,3]=>[1,8,6,2,7,5,3,4]
[6,3,5,8,2,7,4,1]=>[3,8,2,1,5,7,6,4]
[6,5,8,4,2,3,7,1]=>[5,2,1,6,4,8,7,3]
[6,2,5,8,3,7,1,4]=>[5,3,7,1,8,2,6,4]
[1,6,5,7,3,4,2,8]=>[5,3,2,7,6,1,4,8]
[1,5,2,7,4,6,3,8]=>[5,2,7,6,1,3,4,8]
[5,2,1,8,7,6,3,4]=>[7,1,8,6,2,5,3,4]
[7,1,3,8,4,6,2,5]=>[5,7,8,3,6,2,1,4]
[2,3,4,8,6,1,7,5]=>[8,6,1,2,3,5,7,4]
[2,3,4,8,6,5,1,7]=>[7,6,1,2,3,5,8,4]
[2,7,3,5,8,6,1,4]=>[4,7,8,3,1,2,6,5]
[3,2,4,7,8,6,1,5]=>[7,1,4,8,2,3,6,5]
[1,5,4,6,2,7,3,8]=>[3,2,7,5,1,4,6,8]
[5,2,4,7,1,8,3,6]=>[3,7,1,8,2,5,4,6]
[5,3,6,4,1,8,7,2]=>[4,2,1,3,8,7,5,6]
[5,3,6,1,4,8,2,7]=>[2,5,1,7,3,8,4,6]
[7,3,5,6,8,4,2,1]=>[3,4,8,2,1,7,6,5]
[6,3,5,1,8,2,7,4]=>[8,2,6,3,1,7,4,5]
[2,6,1,5,8,4,7,3]=>[4,6,2,8,1,7,3,5]
[2,7,6,5,8,3,4,1]=>[6,4,3,2,8,1,7,5]
[5,7,1,6,3,8,4,2]=>[1,8,5,4,7,3,2,6]
[3,2,4,1,7,8,5,6]=>[1,7,2,3,5,8,4,6]
[3,1,4,2,7,8,6,5]=>[1,5,8,3,7,2,4,6]
[5,1,4,7,2,8,6,3]=>[8,3,1,7,5,2,4,6]
[3,6,4,7,8,2,5,1]=>[6,3,1,2,4,8,7,5]
[3,1,4,6,8,5,7,2]=>[1,4,6,8,3,7,2,5]
[6,3,4,5,7,1,8,2]=>[2,3,4,1,8,6,5,7]
[2,5,4,6,1,7,8,3]=>[3,2,6,1,4,8,5,7]
[7,2,1,4,3,6,5,8]=>[2,4,7,3,5,6,1,8]
[7,3,4,1,2,6,5,8]=>[2,7,4,3,5,6,1,8]
[7,4,3,2,1,6,5,8]=>[4,3,2,7,5,6,1,8]
[7,6,3,2,5,4,1,8]=>[3,7,4,6,5,2,1,8]
[6,7,3,2,5,4,8,1]=>[3,6,4,1,5,2,8,7]
[1,8,3,2,5,4,7,6]=>[3,5,8,4,6,7,1,2]
[1,8,4,5,2,3,7,6]=>[3,8,5,4,6,7,1,2]
[7,3,5,1,6,2,4,8]=>[2,6,7,4,3,5,1,8]
[7,2,1,5,6,3,4,8]=>[6,2,4,7,3,5,1,8]
[7,2,1,6,5,4,3,8]=>[7,6,2,5,3,4,1,8]
[7,3,6,1,5,4,2,8]=>[7,2,6,4,5,3,1,8]
[7,4,6,5,1,3,2,8]=>[2,7,5,6,4,3,1,8]
[1,8,5,4,3,2,7,6]=>[5,4,3,8,6,7,1,2]
[1,8,6,4,3,7,2,5]=>[5,4,7,3,8,6,1,2]
[6,5,7,4,3,1,8,2]=>[2,1,8,6,5,4,3,7]
[6,4,7,5,1,3,8,2]=>[2,6,1,8,5,4,3,7]
[6,3,7,1,5,4,8,2]=>[6,2,5,1,8,4,3,7]
[6,2,1,7,5,4,8,3]=>[6,5,2,4,1,8,3,7]
[3,2,1,8,5,4,7,6]=>[1,5,8,2,6,7,3,4]
[2,3,8,1,5,4,7,6]=>[5,8,1,2,4,6,7,3]
[2,4,8,5,1,3,7,6]=>[8,2,5,1,4,6,7,3]
[2,5,8,4,3,1,7,6]=>[2,5,4,8,1,6,7,3]
[2,6,8,4,3,7,1,5]=>[5,4,2,7,8,1,6,3]
[2,7,8,4,3,6,5,1]=>[4,8,5,2,7,1,6,3]
[1,8,7,4,3,6,5,2]=>[4,8,5,7,6,3,1,2]
[1,8,7,5,6,3,4,2]=>[6,4,8,7,5,3,1,2]
[2,7,8,5,6,3,4,1]=>[6,4,2,8,7,1,5,3]
[2,6,8,5,7,3,1,4]=>[2,7,6,4,8,1,5,3]
[2,5,8,6,7,1,3,4]=>[2,6,7,4,8,1,5,3]
[2,4,8,6,1,7,3,5]=>[7,8,2,5,1,4,6,3]
[3,2,1,8,6,7,4,5]=>[7,1,5,8,2,6,3,4]
[5,2,1,7,6,8,4,3]=>[5,4,1,8,2,7,3,6]
[5,3,7,1,6,8,4,2]=>[5,1,8,2,7,4,3,6]
[5,4,7,6,1,8,3,2]=>[1,8,2,7,5,4,3,6]
[4,5,7,6,8,1,3,2]=>[8,1,2,6,4,3,7,5]
[4,6,7,5,8,3,1,2]=>[2,7,1,4,3,8,6,5]
[1,8,6,5,7,3,2,4]=>[7,6,4,3,8,5,1,2]
[1,8,5,6,7,2,3,4]=>[6,3,7,4,8,5,1,2]
[4,7,5,6,8,2,3,1]=>[3,6,1,4,2,8,7,5]
[4,6,5,7,8,2,1,3]=>[3,1,2,7,6,4,8,5]
[5,4,6,7,1,8,2,3]=>[2,1,7,3,8,5,4,6]
[5,3,6,1,7,8,2,4]=>[7,2,1,5,3,8,4,6]
[5,2,1,6,7,8,3,4]=>[4,7,2,1,5,8,3,6]
[6,2,1,5,7,3,8,4]=>[4,8,2,6,3,1,5,7]
[6,3,5,1,7,2,8,4]=>[8,2,6,4,3,1,5,7]
[6,4,5,7,1,2,8,3]=>[2,8,5,3,1,6,4,7]
[6,5,4,7,2,1,8,3]=>[5,3,2,1,8,6,4,7]
[5,6,4,7,2,8,1,3]=>[1,5,3,2,7,4,8,6]
[1,8,4,6,2,7,3,5]=>[3,7,8,5,4,6,1,2]
[1,8,3,2,6,7,4,5]=>[7,3,5,8,4,6,1,2]
[5,7,3,2,6,8,4,1]=>[3,1,5,8,4,2,7,6]
[5,6,3,2,7,8,1,4]=>[3,1,7,4,2,5,8,6]
[6,5,3,2,7,1,8,4]=>[3,8,4,2,1,6,5,7]
[6,4,3,2,1,7,8,5]=>[4,3,2,6,1,8,5,7]
[6,2,1,4,3,7,8,5]=>[2,4,6,8,3,1,5,7]
[5,2,1,4,3,8,7,6]=>[8,2,4,1,7,3,5,6]
[5,3,4,1,2,8,7,6]=>[2,3,1,8,7,4,5,6]
[4,6,3,2,8,7,1,5]=>[1,3,7,2,8,4,6,5]
[4,7,3,2,8,6,5,1]=>[8,1,3,7,4,2,6,5]
[1,8,3,2,7,6,5,4]=>[8,7,3,6,4,5,1,2]
[1,8,4,7,2,6,5,3]=>[8,3,7,5,6,4,1,2]
[3,7,4,8,2,6,5,1]=>[8,3,5,1,2,7,6,4]
[3,6,4,8,2,7,1,5]=>[3,5,1,2,7,8,6,4]
[3,5,4,8,2,1,7,6]=>[3,1,2,5,8,6,7,4]
[3,4,5,8,1,2,7,6]=>[1,2,3,8,5,6,7,4]
[4,3,5,1,8,2,7,6]=>[2,1,3,8,6,7,4,5]
[4,2,1,5,8,3,7,6]=>[8,2,1,4,6,7,3,5]
[4,2,1,6,8,7,3,5]=>[4,1,7,8,2,6,3,5]
[4,3,6,1,8,7,2,5]=>[1,7,2,3,8,6,4,5]
[3,4,6,8,1,7,2,5]=>[7,1,2,3,8,5,6,4]
[3,5,6,8,7,1,2,4]=>[2,6,1,3,7,8,5,4]
[3,6,5,8,7,2,1,4]=>[3,2,7,1,6,8,5,4]
[3,7,5,8,6,2,4,1]=>[3,6,2,8,1,7,5,4]
[1,8,5,7,6,2,4,3]=>[3,8,6,7,5,4,1,2]
[1,8,6,7,5,4,2,3]=>[7,3,8,6,5,4,1,2]
[3,6,7,8,5,4,1,2]=>[2,7,3,8,1,6,5,4]
[3,5,7,8,6,1,4,2]=>[8,2,6,1,3,7,5,4]
[3,4,7,8,1,6,5,2]=>[8,7,1,2,5,3,6,4]
[4,2,1,7,8,6,5,3]=>[1,4,8,7,2,6,3,5]
[2,3,8,1,7,6,5,4]=>[8,7,6,1,2,4,5,3]
[2,4,8,7,1,6,5,3]=>[8,7,2,5,6,1,4,3]
[2,5,8,7,6,1,4,3]=>[8,2,6,7,5,1,4,3]
[2,6,8,7,5,4,1,3]=>[2,7,8,6,5,1,4,3]
[7,4,6,1,8,3,5,2]=>[2,6,8,7,4,3,1,5]
[8,3,5,1,7,4,6,2]=>[6,2,3,8,7,4,5,1]
[8,3,4,1,7,5,6,2]=>[2,3,6,8,7,4,5,1]
[4,8,3,1,7,5,6,2]=>[1,3,6,8,7,4,5,2]
[4,6,2,1,7,5,8,3]=>[1,6,3,5,2,8,4,7]
[1,4,6,2,7,5,8,3]=>[6,2,5,3,8,1,4,7]
[1,7,5,2,6,8,4,3]=>[5,3,8,7,4,1,2,6]
[7,5,2,1,6,8,4,3]=>[5,8,3,2,7,4,1,6]
[6,8,4,3,1,7,5,2]=>[4,3,1,8,7,5,6,2]
[3,6,8,4,1,7,5,2]=>[4,2,8,1,7,5,6,3]
[3,6,7,5,1,8,4,2]=>[2,8,7,1,5,4,3,6]
[7,5,6,1,8,3,4,2]=>[6,2,8,7,4,3,1,5]
[3,4,6,5,7,1,8,2]=>[4,1,2,3,8,6,5,7]
[4,7,5,6,1,8,3,2]=>[3,8,1,7,5,4,2,6]
[6,7,5,1,8,4,3,2]=>[1,8,7,6,4,3,2,5]
[6,8,4,1,7,5,3,2]=>[3,1,8,7,6,4,5,2]
[6,7,5,3,1,8,4,2]=>[4,1,8,7,5,3,2,6]
[8,4,2,1,6,7,5,3]=>[5,2,8,3,7,4,6,1]
[1,8,4,2,6,7,5,3]=>[3,5,8,7,4,6,1,2]
[1,5,3,2,7,6,8,4]=>[6,3,2,5,8,1,4,7]
[5,3,2,1,7,6,8,4]=>[2,6,3,1,5,8,4,7]
[2,5,3,1,7,6,8,4]=>[6,3,1,2,5,8,4,7]
[2,8,4,1,6,7,5,3]=>[3,5,8,7,1,4,6,2]
[2,7,5,1,6,8,4,3]=>[5,3,8,7,1,4,2,6]
[2,4,6,1,7,5,8,3]=>[6,2,5,1,3,8,4,7]
[4,7,1,6,5,8,2,3]=>[7,1,5,4,8,3,2,6]
[4,8,2,6,5,7,1,3]=>[7,1,5,3,4,8,6,2]
[4,6,1,2,7,5,8,3]=>[1,6,5,8,3,2,4,7]
[7,5,1,2,6,8,4,3]=>[5,8,7,3,2,4,1,6]
[8,4,1,2,6,7,5,3]=>[5,2,8,7,3,4,6,1]
[5,3,1,2,7,6,8,4]=>[2,6,5,1,8,3,4,7]
[1,2,5,3,7,6,8,4]=>[3,6,5,8,1,2,4,7]
[4,3,1,2,7,6,8,5]=>[2,1,6,5,8,3,4,7]
[3,5,1,2,7,6,8,4]=>[6,1,5,2,8,3,4,7]
[6,7,1,5,8,2,3,4]=>[6,7,4,1,8,3,2,5]
[2,7,6,1,5,8,3,4]=>[7,5,8,4,1,3,2,6]
[2,3,5,1,7,6,8,4]=>[3,6,1,2,5,8,4,7]
[7,6,1,5,8,3,2,4]=>[7,6,4,8,3,2,1,5]
[3,6,7,1,5,8,2,4]=>[7,5,1,2,8,4,3,6]
[7,1,6,5,8,2,4,3]=>[8,6,4,3,7,2,1,5]
[7,5,1,6,8,4,2,3]=>[7,4,2,8,6,3,1,5]
[8,4,1,6,7,5,2,3]=>[2,7,4,8,6,3,5,1]
[5,2,3,1,7,6,8,4]=>[6,2,3,1,5,8,4,7]
[3,5,2,1,7,6,8,4]=>[6,1,3,2,5,8,4,7]
[1,3,5,2,7,6,8,4]=>[3,6,2,5,8,1,4,7]
[1,7,6,2,5,8,3,4]=>[7,5,8,4,3,1,2,6]
[7,6,2,1,5,8,3,4]=>[7,3,5,8,4,2,1,6]
[8,3,1,5,7,6,2,4]=>[2,4,7,8,6,3,5,1]
[6,2,4,1,7,5,8,3]=>[3,6,2,5,1,8,4,7]
[6,2,5,1,7,4,8,3]=>[6,5,2,3,1,8,4,7]
[7,1,6,4,8,2,5,3]=>[4,8,6,3,7,2,1,5]
[8,2,6,4,7,1,5,3]=>[4,8,6,2,3,7,5,1]
[6,1,5,2,7,4,8,3]=>[6,5,3,8,2,1,4,7]
[7,6,2,5,8,3,1,4]=>[7,6,3,4,2,1,8,5]
[8,3,5,7,6,2,1,4]=>[3,7,2,6,8,5,4,1]
[1,8,3,5,7,6,2,4]=>[4,7,8,3,6,5,1,2]
[1,5,2,3,7,6,8,4]=>[6,5,2,8,1,3,4,7]
[5,2,1,3,7,6,8,4]=>[6,2,5,1,8,3,4,7]
[7,5,2,6,8,4,1,3]=>[7,4,2,8,3,1,6,5]
[8,4,2,6,7,5,1,3]=>[2,7,4,8,3,6,5,1]
[6,1,4,2,7,5,8,3]=>[3,6,5,8,2,1,4,7]
[8,2,6,5,7,1,4,3]=>[8,6,4,2,3,7,5,1]
[3,6,8,2,5,7,1,4]=>[7,4,1,2,5,8,6,3]
[8,3,2,5,7,6,1,4]=>[2,4,7,8,3,6,5,1]
[5,1,3,2,7,6,8,4]=>[6,3,5,1,8,2,4,7]
[4,1,3,2,7,6,8,5]=>[6,3,1,5,8,2,4,7]
[4,2,1,3,7,6,8,5]=>[6,2,1,5,8,3,4,7]
[1,4,2,3,7,6,8,5]=>[2,6,5,8,1,3,4,7]
[2,4,1,3,7,6,8,5]=>[2,6,1,5,8,3,4,7]
[2,5,1,3,7,6,8,4]=>[6,5,1,2,8,3,4,7]
[2,8,3,5,7,6,1,4]=>[4,7,8,3,6,1,5,2]
[6,8,2,3,5,7,1,4]=>[7,3,4,1,5,8,6,2]
[6,7,1,3,5,8,2,4]=>[7,4,5,1,8,3,2,6]
[8,3,5,7,6,1,2,4]=>[6,2,3,7,8,5,4,1]
[5,1,2,3,7,6,8,4]=>[6,5,8,2,1,3,4,7]
[3,1,2,4,7,6,8,5]=>[1,6,5,8,2,3,4,7]
[8,1,2,4,3,6,5,7]=>[4,7,2,3,5,6,8,1]
[8,1,3,5,6,2,7,4]=>[4,8,3,6,2,5,7,1]
[8,1,3,4,2,6,7,5]=>[3,4,6,8,2,5,7,1]
[8,1,3,2,4,5,7,6]=>[3,8,2,4,5,6,7,1]
[2,7,8,3,4,5,6,1]=>[4,5,6,2,8,1,7,3]
[2,6,3,8,4,5,7,1]=>[5,6,2,8,1,3,7,4]
[6,3,2,1,4,5,8,7]=>[3,2,8,4,5,1,6,7]
[7,3,1,4,2,6,8,5]=>[4,2,6,8,3,5,1,7]
[7,4,1,5,6,8,2,3]=>[4,2,7,5,8,3,1,6]
[4,7,8,5,6,1,2,3]=>[6,7,1,4,2,8,5,3]
[3,7,8,5,6,2,1,4]=>[7,6,4,1,2,8,5,3]
[3,7,8,4,2,6,1,5]=>[5,4,7,1,2,8,6,3]
[3,7,8,2,4,5,1,6]=>[4,5,7,1,6,2,8,3]
[3,6,2,8,4,5,1,7]=>[5,7,1,3,2,6,8,4]
[2,3,6,7,4,5,8,1]=>[5,3,6,1,2,4,8,7]
[3,5,2,4,8,6,1,7]=>[7,1,3,2,4,6,8,5]
[3,5,4,2,8,7,1,6]=>[3,1,2,7,8,4,6,5]
[4,6,5,8,7,1,2,3]=>[6,1,3,2,7,8,5,4]
[6,4,5,1,7,8,2,3]=>[2,7,5,3,1,8,4,6]
[7,4,1,2,3,8,5,6]=>[7,8,3,2,4,5,1,6]
[6,2,4,1,3,7,5,8]=>[7,2,4,3,5,1,6,8]
[2,6,4,8,3,7,5,1]=>[8,3,2,5,7,1,6,4]
[2,6,5,8,7,3,4,1]=>[3,2,6,8,7,1,5,4]
[6,2,5,1,7,3,4,8]=>[6,7,2,4,3,1,5,8]
[6,5,2,1,8,3,4,7]=>[3,6,7,2,1,8,4,5]
[2,5,6,7,8,3,4,1]=>[2,3,6,4,8,1,7,5]
[2,4,6,7,3,8,5,1]=>[3,8,2,5,1,4,7,6]
[4,2,6,7,3,1,5,8]=>[1,6,5,2,3,7,4,8]
[4,7,8,2,3,1,5,6]=>[1,4,6,5,7,2,8,3]
[4,7,8,3,2,1,6,5]=>[5,1,4,8,6,2,7,3]
[5,6,4,8,1,7,2,3]=>[1,7,3,2,8,5,6,4]
[5,6,3,8,1,2,7,4]=>[3,1,8,5,2,6,7,4]
[4,2,5,3,7,1,6,8]=>[4,2,1,3,6,7,5,8]
[4,3,6,7,2,1,8,5]=>[1,5,2,3,8,6,4,7]
[3,4,6,7,2,8,1,5]=>[5,1,2,3,7,4,8,6]
[3,4,5,2,7,8,1,6]=>[1,2,3,7,4,5,8,6]
[3,4,2,5,6,8,1,7]=>[1,3,2,4,5,7,8,6]
[5,2,7,8,6,4,1,3]=>[1,7,3,8,6,2,5,4]
[5,1,2,7,8,6,4,3]=>[4,1,8,7,6,2,3,5]
[4,7,1,8,6,5,2,3]=>[7,8,1,6,5,3,2,4]
[4,7,1,2,8,6,5,3]=>[8,1,7,6,3,4,2,5]
[4,6,8,1,2,7,5,3]=>[8,1,7,4,2,5,6,3]
[6,8,7,1,5,3,2,4]=>[7,6,1,8,4,5,3,2]
[6,8,7,3,5,1,2,4]=>[6,4,1,7,8,5,3,2]
[7,8,1,6,3,5,2,4]=>[5,7,8,6,3,1,4,2]
[7,8,1,3,6,5,2,4]=>[7,8,4,6,3,1,5,2]
[7,8,3,6,5,2,1,4]=>[7,3,6,1,8,5,4,2]
[4,7,2,8,6,1,5,3]=>[8,1,6,7,3,2,5,4]
[1,7,3,4,8,6,5,2]=>[8,7,3,4,2,6,1,5]
[4,2,7,1,8,6,5,3]=>[8,1,7,6,2,4,3,5]
[7,8,2,3,6,5,1,4]=>[7,8,3,4,1,6,5,2]
[8,5,7,1,6,2,3,4]=>[6,7,2,8,4,5,3,1]
[8,5,7,1,2,6,3,4]=>[7,8,4,2,5,6,3,1]
[6,8,2,7,1,3,5,4]=>[8,3,5,1,6,7,4,2]
[6,8,7,2,5,3,1,4]=>[7,4,1,6,8,5,3,2]
[6,2,4,8,7,1,5,3]=>[8,3,6,1,7,2,5,4]
[1,6,8,3,7,4,5,2]=>[6,2,8,4,7,5,1,3]
[1,6,8,3,4,7,5,2]=>[8,4,2,5,7,6,1,3]
[6,2,4,8,1,7,5,3]=>[8,3,7,2,1,5,6,4]
[6,8,7,2,3,5,1,4]=>[4,5,1,7,8,6,3,2]
[6,8,2,1,7,3,5,4]=>[8,3,6,1,7,4,5,2]
[8,5,7,2,1,6,3,4]=>[4,7,2,8,5,6,3,1]
[8,5,7,1,2,3,6,4]=>[8,4,5,2,6,7,3,1]
[8,7,6,2,1,4,3,5]=>[4,7,5,6,8,3,2,1]
[8,5,7,2,3,1,6,4]=>[4,5,2,8,6,7,3,1]
[5,8,4,2,7,1,6,3]=>[1,8,4,3,6,7,5,2]
[1,8,7,5,3,4,6,2]=>[5,6,4,8,7,3,1,2]
[1,8,7,3,5,4,6,2]=>[6,4,5,8,7,3,1,2]
[8,2,5,4,7,1,6,3]=>[4,3,8,2,6,7,5,1]
[8,5,2,7,3,1,6,4]=>[5,8,3,2,6,7,4,1]
[8,7,6,2,4,3,1,5]=>[7,4,6,5,8,3,2,1]
[8,7,6,1,2,4,3,5]=>[7,4,5,6,8,3,2,1]
[8,7,6,1,4,2,3,5]=>[6,7,4,5,8,3,2,1]
[8,7,6,4,1,3,2,5]=>[7,5,6,4,8,3,2,1]
[5,8,4,7,2,1,6,3]=>[1,5,3,8,6,7,4,2]
[1,8,7,5,4,3,6,2]=>[6,5,4,8,7,3,1,2]
[1,6,8,4,3,7,5,2]=>[4,2,8,5,7,6,1,3]
[6,8,7,3,2,5,1,4]=>[5,4,1,7,8,6,3,2]
[6,8,1,7,3,2,5,4]=>[5,8,6,1,7,3,4,2]
[8,5,7,3,1,6,2,4]=>[7,4,2,8,5,6,3,1]
[8,5,7,1,3,2,6,4]=>[5,8,4,2,6,7,3,1]
[8,5,7,3,1,2,6,4]=>[8,5,4,2,6,7,3,1]
[5,8,4,7,1,2,6,3]=>[1,8,5,3,6,7,4,2]
[5,8,4,1,7,2,6,3]=>[1,8,6,3,7,4,5,2]
[5,8,4,7,1,6,2,3]=>[1,7,3,8,5,6,4,2]
[8,1,2,6,5,7,4,3]=>[5,4,8,7,2,3,6,1]
[8,2,5,6,7,4,1,3]=>[3,7,4,8,2,6,5,1]
[4,8,5,7,1,6,2,3]=>[7,1,3,8,5,6,4,2]
[4,8,5,7,1,2,6,3]=>[8,1,5,3,6,7,4,2]
[4,8,5,1,7,2,6,3]=>[8,1,6,3,7,4,5,2]
[8,5,3,1,7,2,6,4]=>[3,8,6,2,7,4,5,1]
[8,5,3,7,1,2,6,4]=>[3,8,5,2,6,7,4,1]
[6,8,1,3,7,2,5,4]=>[8,4,6,1,7,3,5,2]
[4,6,2,8,1,7,5,3]=>[8,1,7,3,2,5,6,4]
[1,6,4,8,3,7,5,2]=>[8,3,2,5,7,6,1,4]
[1,8,7,4,5,3,6,2]=>[4,6,5,8,7,3,1,2]
[4,8,5,7,2,1,6,3]=>[5,1,3,8,6,7,4,2]
[8,5,3,7,2,1,6,4]=>[3,5,2,8,6,7,4,1]
[8,7,6,3,1,4,2,5]=>[7,5,4,6,8,3,2,1]
[8,7,6,1,3,2,4,5]=>[6,4,5,7,8,3,2,1]
[8,5,3,2,7,1,6,4]=>[3,8,4,2,6,7,5,1]
[4,8,5,2,7,1,6,3]=>[8,1,4,3,6,7,5,2]
[1,8,7,4,3,5,6,2]=>[5,4,6,8,7,3,1,2]
[1,8,7,3,4,5,6,2]=>[4,5,6,8,7,3,1,2]
[8,2,4,5,7,1,6,3]=>[3,4,8,2,6,7,5,1]
[8,5,2,3,7,1,6,4]=>[8,3,4,2,6,7,5,1]
[6,3,1,5,4,2,8,7]=>[2,5,4,8,3,1,6,7]
[8,3,1,5,2,7,6,4]=>[2,4,8,7,3,5,6,1]
[8,5,4,2,1,7,3,6]=>[4,7,3,2,8,5,6,1]
[8,5,4,2,1,7,6,3]=>[8,4,3,2,7,5,6,1]
[6,5,4,2,1,3,8,7]=>[4,8,5,3,2,1,6,7]
[6,5,4,2,3,1,8,7]=>[4,5,3,2,1,8,6,7]
[6,3,2,5,1,4,8,7]=>[2,8,3,5,4,1,6,7]
[6,5,4,3,1,2,8,7]=>[8,5,4,3,2,1,6,7]
[6,5,4,1,3,2,8,7]=>[5,8,4,3,2,1,6,7]
[8,5,4,1,2,7,6,3]=>[8,7,4,3,2,5,6,1]
[8,7,4,1,6,3,2,5]=>[7,6,3,8,4,5,2,1]
[8,7,4,1,6,3,5,2]=>[6,3,8,7,4,5,2,1]
[8,7,4,1,6,5,3,2]=>[3,8,7,6,4,5,2,1]
[8,5,4,1,3,7,6,2]=>[8,5,3,2,7,4,6,1]
[8,5,4,3,1,7,6,2]=>[4,3,2,8,7,5,6,1]
[8,3,2,5,1,7,6,4]=>[2,4,8,3,7,5,6,1]
[2,1,8,5,3,7,6,4]=>[4,8,7,1,5,6,2,3]
[8,3,2,5,1,7,4,6]=>[2,7,3,4,8,5,6,1]
[8,5,4,3,1,7,2,6]=>[7,4,3,2,8,5,6,1]
[8,5,4,1,3,7,2,6]=>[5,7,3,2,8,4,6,1]
[8,7,4,1,6,5,2,3]=>[7,3,8,6,4,5,2,1]
[8,7,4,1,6,2,5,3]=>[8,6,3,7,4,5,2,1]
[8,7,6,5,2,1,4,3]=>[5,8,6,7,4,3,2,1]
[8,7,4,3,6,2,1,5]=>[4,3,7,6,8,5,2,1]
[8,3,2,7,6,4,1,5]=>[7,2,6,8,3,5,4,1]
[2,1,8,7,6,4,3,5]=>[7,6,8,5,1,4,2,3]
[2,1,8,7,6,4,5,3]=>[6,8,7,5,1,4,2,3]
[8,3,2,7,6,4,5,1]=>[6,8,2,7,3,5,4,1]
[8,7,4,3,6,2,5,1]=>[4,3,6,8,7,5,2,1]
[8,7,6,5,2,4,3,1]=>[8,5,7,6,4,3,2,1]
[8,5,4,2,3,7,6,1]=>[8,4,3,2,5,7,6,1]
[8,7,4,2,6,5,3,1]=>[3,8,7,4,6,5,2,1]
[8,7,4,2,6,3,5,1]=>[6,3,8,4,7,5,2,1]
[8,7,4,2,6,3,1,5]=>[7,4,3,6,8,5,2,1]
[8,3,1,7,6,4,2,5]=>[7,2,6,8,5,3,4,1]
[8,3,1,7,6,4,5,2]=>[6,8,2,7,5,3,4,1]
[8,3,1,7,6,5,4,2]=>[8,7,2,6,5,3,4,1]
[8,3,1,5,4,7,6,2]=>[2,4,8,5,7,3,6,1]
[8,3,1,5,4,7,2,6]=>[2,5,4,7,8,3,6,1]
[8,3,1,7,6,5,2,4]=>[7,8,2,6,5,3,4,1]
[8,3,1,7,6,2,5,4]=>[8,2,6,7,5,3,4,1]
[8,7,4,2,6,1,5,3]=>[8,4,3,6,7,5,2,1]
[8,7,4,2,6,5,1,3]=>[7,3,8,4,6,5,2,1]
[8,5,4,2,3,7,1,6]=>[4,5,3,2,7,8,6,1]
[8,3,2,5,4,7,1,6]=>[2,5,3,4,7,8,6,1]
[2,1,8,5,4,7,3,6]=>[5,4,7,8,1,6,2,3]
[8,3,2,7,6,5,1,4]=>[7,8,2,6,3,5,4,1]
[8,7,4,3,6,5,1,2]=>[4,3,7,8,6,5,2,1]
[8,7,6,5,3,1,4,2]=>[8,6,5,7,4,3,2,1]
[8,7,6,5,1,3,2,4]=>[7,5,6,8,4,3,2,1]
[8,7,6,5,1,3,4,2]=>[6,8,5,7,4,3,2,1]
[8,7,6,5,1,4,3,2]=>[8,7,5,6,4,3,2,1]
[8,7,6,5,4,1,3,2]=>[8,6,7,5,4,3,2,1]
[8,7,4,3,6,1,5,2]=>[4,3,8,6,7,5,2,1]
[8,3,2,7,6,1,5,4]=>[8,2,6,7,3,5,4,1]
[2,1,8,7,6,3,5,4]=>[8,6,7,5,1,4,2,3]
[8,3,2,7,6,1,4,5]=>[2,6,7,8,3,5,4,1]
[8,7,6,5,1,4,2,3]=>[7,8,5,6,4,3,2,1]
[8,7,6,5,1,2,4,3]=>[8,5,6,7,4,3,2,1]
[7,3,5,1,8,4,6,2]=>[6,2,3,8,7,4,1,5]
[7,3,4,1,8,5,6,2]=>[2,3,6,8,7,4,1,5]
[4,5,6,2,1,8,7,3]=>[1,2,8,4,3,7,5,6]
[1,6,5,2,7,4,3,8]=>[7,6,4,3,1,2,5,8]
[7,4,3,1,8,6,5,2]=>[2,8,3,7,6,4,1,5]
[7,6,5,1,8,4,3,2]=>[8,7,6,4,3,2,1,5]
[7,6,4,1,8,5,3,2]=>[3,8,7,6,4,2,1,5]
[6,4,2,1,8,7,5,3]=>[2,8,7,3,1,6,4,5]
[1,6,4,2,7,5,3,8]=>[3,7,6,4,1,2,5,8]
[1,5,3,2,7,6,4,8]=>[7,3,2,6,1,4,5,8]
[5,3,2,1,8,7,6,4]=>[8,2,1,7,3,6,4,5]
[2,5,3,1,7,8,6,4]=>[5,2,8,1,3,7,4,6]
[2,6,4,1,7,8,5,3]=>[3,5,2,8,1,7,4,6]
[2,6,5,1,7,8,4,3]=>[5,3,2,8,1,7,4,6]
[4,5,7,1,6,8,2,3]=>[1,2,7,5,8,4,3,6]
[6,5,1,2,8,4,3,7]=>[7,6,8,3,2,1,4,5]
[6,4,1,2,8,5,3,7]=>[7,6,2,8,3,1,4,5]
[5,3,1,2,8,6,4,7]=>[2,7,6,1,8,3,4,5]
[4,3,1,2,8,6,5,7]=>[2,1,7,6,8,3,4,5]
[6,1,2,5,8,3,4,7]=>[6,4,7,8,2,1,3,5]
[7,1,3,4,8,2,5,6]=>[3,4,6,7,8,2,1,5]
[7,1,5,6,8,2,3,4]=>[6,3,7,4,8,2,1,5]
[2,6,1,5,7,8,3,4]=>[4,7,5,1,2,8,3,6]
[7,4,1,6,8,5,2,3]=>[2,7,4,8,6,3,1,5]
[5,2,3,1,8,6,7,4]=>[6,8,2,1,3,7,4,5]
[3,5,2,1,6,8,7,4]=>[8,1,3,2,5,7,4,6]
[1,6,2,5,7,3,4,8]=>[6,4,7,3,1,2,5,8]
[6,2,1,5,8,7,3,4]=>[4,7,8,2,1,6,3,5]
[7,3,1,5,8,6,2,4]=>[2,4,7,8,6,3,1,5]
[6,2,4,1,8,5,7,3]=>[3,6,8,2,1,7,4,5]
[6,2,5,1,8,4,7,3]=>[6,3,8,2,1,7,4,5]
[7,3,1,4,8,6,2,5]=>[2,7,8,4,6,3,1,5]
[6,2,1,4,8,7,3,5]=>[7,8,2,4,1,6,3,5]
[1,6,2,4,7,3,5,8]=>[4,6,7,3,1,2,5,8]
[5,2,1,3,8,7,4,6]=>[7,8,2,1,6,3,4,5]
[7,4,1,3,8,5,2,6]=>[7,4,2,6,8,3,1,5]
[7,5,1,3,8,4,2,6]=>[7,4,6,2,8,3,1,5]
[3,6,7,1,4,8,2,5]=>[5,7,1,2,8,4,3,6]
[7,6,1,4,8,3,2,5]=>[4,7,6,8,3,2,1,5]
[4,2,1,3,8,7,5,6]=>[7,1,8,2,6,3,4,5]
[2,6,1,4,7,8,3,5]=>[7,4,5,1,2,8,3,6]
[7,1,4,6,8,2,3,5]=>[3,6,7,4,8,2,1,5]
[7,1,3,5,8,2,4,6]=>[6,3,4,7,8,2,1,5]
[6,1,2,4,8,3,5,7]=>[4,6,7,8,2,1,3,5]
[5,2,3,1,6,4,8,7]=>[2,3,5,1,8,4,6,7]
[7,4,5,2,3,1,8,6]=>[4,2,5,3,8,6,1,7]
[8,6,7,3,5,2,4,1]=>[4,6,2,8,7,5,3,1]
[7,3,5,2,4,1,8,6]=>[2,4,5,3,8,6,1,7]
[6,3,5,2,4,1,8,7]=>[2,4,5,3,1,8,6,7]
[5,2,4,1,6,3,8,7]=>[5,2,3,1,8,4,6,7]
[4,1,6,3,5,2,8,7]=>[4,1,5,3,8,2,6,7]
[6,3,4,1,5,2,8,7]=>[2,5,3,8,4,1,6,7]
[5,2,6,3,4,1,8,7]=>[4,5,2,1,3,8,6,7]
[5,2,7,3,4,1,8,6]=>[4,5,1,8,2,6,3,7]
[5,2,8,6,7,3,4,1]=>[1,6,4,8,7,2,5,3]
[6,2,8,5,7,3,4,1]=>[6,4,1,8,7,2,5,3]
[6,2,7,3,4,1,8,5]=>[4,5,8,2,1,6,3,7]
[7,3,4,1,5,2,8,6]=>[2,5,3,8,4,6,1,7]
[4,1,7,3,5,2,8,6]=>[4,1,5,8,6,2,3,7]
[3,1,7,4,5,2,8,6]=>[1,4,5,8,6,2,3,7]
[2,1,7,4,5,3,8,6]=>[4,5,8,1,6,2,3,7]
[3,1,8,6,7,4,5,2]=>[6,4,8,1,7,5,2,3]
[4,1,8,6,7,3,5,2]=>[6,1,4,8,7,5,2,3]
[8,6,7,3,4,1,5,2]=>[4,8,6,5,2,7,3,1]
[8,5,7,3,4,1,6,2]=>[4,2,8,6,5,7,3,1]
[8,5,6,2,7,3,4,1]=>[6,2,8,4,3,7,5,1]
[8,4,7,3,5,1,6,2]=>[2,4,8,6,5,7,3,1]
[5,1,8,4,7,3,6,2]=>[4,1,6,8,7,5,2,3]
[4,1,8,5,7,3,6,2]=>[1,4,6,8,7,5,2,3]
[3,1,8,5,7,4,6,2]=>[4,6,8,1,7,5,2,3]
[2,1,8,5,7,4,6,3]=>[4,6,8,7,1,5,2,3]
[2,1,7,4,6,3,8,5]=>[8,4,6,1,5,2,3,7]
[3,1,7,4,6,2,8,5]=>[8,1,4,6,5,2,3,7]
[4,1,7,3,6,2,8,5]=>[1,8,4,6,5,2,3,7]
[5,1,7,3,6,2,8,4]=>[8,4,1,6,5,2,3,7]
[6,2,7,3,5,1,8,4]=>[8,4,6,2,1,5,3,7]
[6,2,8,4,7,3,5,1]=>[4,6,1,8,7,2,5,3]
[8,4,7,3,6,2,5,1]=>[2,4,6,8,7,5,3,1]
[7,3,6,2,5,1,8,4]=>[8,2,4,6,5,3,1,7]
[6,2,5,1,7,3,8,4]=>[8,6,2,4,3,1,5,7]
[5,2,4,1,7,3,8,6]=>[3,8,2,1,6,4,5,7]
[6,2,4,1,7,3,8,5]=>[3,8,2,6,4,1,5,7]
[8,5,7,3,6,2,4,1]=>[4,2,6,8,7,5,3,1]
[8,5,7,4,6,2,3,1]=>[2,6,4,8,7,5,3,1]
[7,4,6,2,3,1,8,5]=>[4,2,5,8,6,3,1,7]
[6,2,3,1,7,4,8,5]=>[8,2,3,6,4,1,5,7]
[5,2,3,1,7,4,8,6]=>[8,2,3,1,6,4,5,7]
[4,2,3,1,7,5,8,6]=>[8,2,1,3,6,4,5,7]
[3,1,4,2,8,6,7,5]=>[1,6,8,3,7,2,4,5]
[6,2,3,1,8,5,7,4]=>[6,8,2,3,1,7,4,5]
[8,5,6,2,3,1,7,4]=>[4,5,2,8,6,3,7,1]
[7,4,8,5,6,2,3,1]=>[6,2,4,1,8,7,5,3]
[7,3,8,5,6,2,4,1]=>[6,4,8,2,1,7,5,3]
[8,5,6,2,4,1,7,3]=>[8,4,2,6,5,3,7,1]
[5,2,4,1,8,6,7,3]=>[3,6,1,8,2,7,4,5]
[4,1,5,2,8,6,7,3]=>[3,1,6,8,7,2,4,5]
[3,1,5,2,8,6,7,4]=>[1,3,6,8,7,2,4,5]
[2,1,6,3,8,5,7,4]=>[6,3,8,1,7,2,4,5]
[3,1,6,2,8,5,7,4]=>[6,1,3,8,7,2,4,5]
[4,1,6,2,8,5,7,3]=>[1,6,3,8,7,2,4,5]
[5,1,6,2,8,4,7,3]=>[6,3,1,8,7,2,4,5]
[8,4,6,2,5,1,7,3]=>[2,8,4,6,5,3,7,1]
[7,3,8,4,6,2,5,1]=>[4,6,8,2,1,7,5,3]
[6,2,7,3,8,4,5,1]=>[6,8,4,2,1,3,7,5]
[8,4,5,1,6,2,7,3]=>[2,8,6,4,3,5,7,1]
[5,1,8,4,6,2,7,3]=>[4,1,8,6,5,7,2,3]
[4,1,8,5,6,2,7,3]=>[1,4,8,6,5,7,2,3]
[3,1,8,5,6,2,7,4]=>[4,8,1,6,5,7,2,3]
[2,1,8,5,6,3,7,4]=>[4,8,6,1,5,7,2,3]
[2,1,7,4,8,5,6,3]=>[6,8,4,1,3,7,2,5]
[3,1,7,4,8,5,6,2]=>[6,8,1,4,3,7,2,5]
[4,1,7,3,8,5,6,2]=>[1,6,8,4,3,7,2,5]
[7,3,8,4,5,1,6,2]=>[4,8,2,6,5,1,7,3]
[8,4,5,1,7,3,6,2]=>[2,6,3,8,7,4,5,1]
[7,3,6,2,8,4,5,1]=>[6,8,2,4,3,1,7,5]
[7,8,5,6,1,3,4,2]=>[6,8,5,3,1,7,4,2]
[7,8,1,3,6,2,5,4]=>[8,4,6,7,3,1,5,2]
[1,3,8,4,7,2,5,6]=>[4,6,7,8,2,5,1,3]
[3,6,1,4,7,2,5,8]=>[1,4,6,7,3,2,5,8]
[4,6,1,2,5,7,3,8]=>[5,1,7,3,4,2,6,8]
[1,4,8,2,5,7,3,6]=>[2,5,7,8,4,6,1,3]
[7,8,2,4,5,6,1,3]=>[4,7,3,5,1,8,6,2]
[7,8,1,5,4,6,3,2]=>[5,4,8,7,3,1,6,2]
[7,8,2,1,6,3,4,5]=>[3,6,7,8,4,1,5,2]
[7,8,3,5,6,4,1,2]=>[7,3,4,1,8,6,5,2]
[7,8,1,4,2,3,6,5]=>[8,5,3,4,6,1,7,2]
[7,8,5,1,4,2,6,3]=>[8,6,4,5,3,1,7,2]
[7,8,4,5,3,1,6,2]=>[3,8,6,5,4,1,7,2]
[1,5,8,4,3,2,7,6]=>[2,5,4,8,6,7,1,3]
[5,6,1,4,3,2,7,8]=>[6,5,3,1,4,2,7,8]
[2,6,4,8,3,7,1,5]=>[3,5,2,7,8,1,6,4]
[1,4,6,8,3,7,5,2]=>[3,8,2,5,7,6,1,4]
[2,4,8,5,3,1,6,7]=>[6,2,5,1,4,7,8,3]
[2,5,8,1,4,7,6,3]=>[2,8,5,7,1,4,6,3]
[3,5,8,4,7,6,1,2]=>[2,4,7,8,1,6,5,3]
[1,6,2,4,7,3,8,5]=>[8,4,6,3,1,2,5,7]
[5,6,2,1,4,7,8,3]=>[3,5,1,6,2,8,4,7]
[4,6,2,5,3,1,8,7]=>[1,5,3,4,2,8,6,7]
[4,7,5,1,3,6,8,2]=>[1,5,6,3,8,4,2,7]
[7,5,3,6,2,4,1,8]=>[3,5,2,7,6,4,1,8]
[5,7,3,6,1,4,8,2]=>[3,1,6,8,5,4,2,7]
[5,3,6,7,2,1,8,4]=>[5,2,1,3,8,6,4,7]
[6,1,7,5,2,4,8,3]=>[6,8,5,4,2,1,3,7]
[6,3,1,2,4,5,8,7]=>[8,3,2,4,5,1,6,7]
[1,4,7,2,5,3,8,6]=>[2,5,8,4,6,1,3,7]
[4,6,7,8,3,5,1,2]=>[2,7,1,5,3,8,6,4]
[3,6,1,8,4,2,5,7]=>[6,1,5,7,2,8,3,4]
[1,6,7,5,8,2,4,3]=>[2,8,6,4,3,7,1,5]
[3,5,6,7,8,1,4,2]=>[2,3,8,1,6,4,7,5]
[3,6,5,7,8,2,1,4]=>[3,2,7,1,6,4,8,5]
[5,2,7,6,1,4,3,8]=>[7,5,1,6,2,4,3,8]
[2,5,7,6,8,1,3,4]=>[2,6,7,4,1,3,8,5]
[2,7,5,6,8,4,1,3]=>[3,7,4,2,8,1,6,5]
[2,1,6,8,4,5,3,7]=>[5,3,7,1,6,8,2,4]
[2,7,1,8,5,3,4,6]=>[6,7,5,8,1,3,2,4]
[3,7,6,8,5,4,1,2]=>[7,3,2,8,1,6,5,4]
[4,3,8,5,6,7,1,2]=>[1,4,7,2,5,8,6,3]
[4,2,8,1,6,3,7,5]=>[1,8,6,2,4,5,7,3]
[3,1,8,5,4,6,7,2]=>[5,1,4,6,8,7,2,3]
[3,2,8,4,5,6,1,7]=>[1,4,5,7,2,6,8,3]
[3,4,2,8,6,1,7,5]=>[8,1,2,6,3,5,7,4]
[3,4,7,1,5,2,6,8]=>[1,2,6,4,5,7,3,8]
[4,3,7,8,1,2,6,5]=>[1,8,2,5,6,3,7,4]
[1,7,3,8,5,2,6,4]=>[8,6,3,5,2,7,1,4]
[4,1,8,3,6,2,5,7]=>[4,1,6,7,5,8,2,3]
[5,7,8,6,3,2,1,4]=>[7,1,6,5,2,8,4,3]
[5,7,8,6,1,3,4,2]=>[1,6,8,5,2,7,4,3]
[7,6,5,8,1,3,4,2]=>[6,8,5,3,2,1,7,4]
[1,6,4,3,8,2,5,7]=>[4,3,6,2,7,8,1,5]
[7,1,3,4,8,2,6,5]=>[8,3,4,6,7,2,1,5]
[3,6,5,4,1,2,7,8]=>[5,6,1,4,3,2,7,8]
[2,4,5,1,7,8,6,3]=>[2,3,5,8,1,7,4,6]
[2,6,3,4,5,8,1,7]=>[3,4,5,1,2,7,8,6]
[2,6,4,1,8,3,7,5]=>[3,8,6,1,2,7,4,5]
[7,3,6,4,8,5,1,2]=>[4,7,2,3,1,8,6,5]
[7,2,1,4,8,3,5,6]=>[2,4,6,7,8,3,1,5]
[7,1,6,5,3,8,4,2]=>[8,5,4,3,7,2,1,6]
[7,2,5,6,3,8,1,4]=>[5,3,7,2,4,1,8,6]
[6,5,2,7,1,8,4,3]=>[8,7,3,2,1,5,4,6]
[5,6,2,7,3,1,4,8]=>[6,3,1,5,2,7,4,8]
[5,6,7,4,2,8,1,3]=>[1,5,2,7,4,3,8,6]
[5,7,6,4,1,8,3,2]=>[8,1,7,5,4,3,2,6]
[6,7,1,5,2,8,3,4]=>[7,8,5,3,1,4,2,6]
[1,7,5,2,4,8,3,6]=>[5,7,3,8,4,1,2,6]
[6,1,5,2,8,3,4,7]=>[6,7,3,8,2,1,4,5]
[6,7,5,3,8,4,1,2]=>[4,1,7,3,2,8,6,5]
[1,6,5,4,2,3,8,7]=>[8,5,4,3,1,2,6,7]
[7,1,5,3,4,2,8,6]=>[4,5,3,8,2,6,1,7]
[7,6,1,5,3,2,8,4]=>[5,8,6,3,4,2,1,7]
[7,5,6,4,1,2,8,3]=>[8,5,2,6,4,3,1,7]
[6,7,5,4,3,1,8,2]=>[1,8,6,5,4,3,2,7]
[7,5,2,4,3,1,6,8]=>[6,3,5,4,2,7,1,8]
[7,4,6,1,2,5,3,8]=>[7,4,2,5,6,3,1,8]
[7,1,4,2,5,3,6,8]=>[6,4,2,3,5,7,1,8]
[6,8,1,4,2,5,7,3]=>[6,4,8,3,1,5,7,2]
[1,6,4,2,5,7,3,8]=>[5,3,7,4,1,2,6,8]
[1,6,3,7,5,4,2,8]=>[7,6,3,2,5,1,4,8]
[6,8,1,3,7,5,4,2]=>[8,7,4,1,6,3,5,2]
[7,1,3,5,6,4,2,8]=>[4,7,3,6,2,5,1,8]
[7,3,1,6,4,5,2,8]=>[2,5,7,6,3,4,1,8]
[7,4,2,6,5,1,3,8]=>[6,2,7,3,5,4,1,8]
[7,4,6,3,1,5,2,8]=>[2,7,5,4,6,3,1,8]
[7,2,4,1,5,3,6,8]=>[6,2,4,3,5,7,1,8]
[7,2,3,5,4,1,6,8]=>[6,2,3,5,4,7,1,8]
[6,8,1,2,3,4,7,5]=>[8,3,4,5,1,6,7,2]
[1,5,7,2,3,8,6,4]=>[2,8,7,4,5,1,3,6]
[5,1,8,2,3,6,7,4]=>[6,8,4,1,5,7,2,3]
[5,8,2,3,7,6,4,1]=>[1,8,7,3,4,6,5,2]
[6,2,8,1,3,7,4,5]=>[7,8,2,4,1,5,6,3]
[6,8,2,3,5,4,7,1]=>[6,3,4,1,5,8,7,2]
[6,8,2,4,1,5,7,3]=>[6,3,4,1,8,5,7,2]
[6,8,3,1,2,4,7,5]=>[8,4,3,5,1,6,7,2]
[2,6,4,1,5,7,3,8]=>[5,3,7,1,4,2,6,8]
[2,6,3,5,7,1,4,8]=>[6,3,4,1,2,7,5,8]
[2,5,1,7,8,3,6,4]=>[2,8,6,1,4,7,3,5]
[2,5,3,6,8,4,7,1]=>[4,2,6,8,1,3,7,5]
[2,1,4,7,8,5,6,3]=>[6,4,8,1,3,7,2,5]
[2,4,7,6,8,5,1,3]=>[7,4,2,3,8,1,6,5]
[2,5,3,7,6,1,8,4]=>[2,8,6,1,3,5,4,7]
[2,5,7,8,1,4,6,3]=>[2,6,8,5,1,3,7,4]
[3,5,7,4,1,6,2,8]=>[2,7,1,5,4,6,3,8]
[5,3,4,1,8,6,7,2]=>[2,3,1,6,8,7,4,5]
[5,2,8,4,6,1,7,3]=>[4,1,8,6,2,5,7,3]
[5,2,1,8,6,3,7,4]=>[8,6,2,1,5,7,3,4]
[4,2,8,6,5,3,7,1]=>[6,1,5,4,8,2,7,3]
[4,2,8,5,7,6,3,1]=>[8,1,4,7,6,2,5,3]
[1,4,2,7,5,8,6,3]=>[8,2,5,4,7,1,3,6]
[4,1,8,6,7,5,3,2]=>[4,8,1,7,6,5,2,3]
[5,3,8,7,6,2,4,1]=>[1,6,8,7,2,5,4,3]
[5,8,4,7,6,2,1,3]=>[1,3,7,6,8,5,4,2]
[5,8,7,4,3,6,1,2]=>[7,1,5,4,8,6,3,2]
[6,4,8,3,1,7,2,5]=>[2,7,4,1,8,5,6,3]
[6,4,2,8,7,1,3,5]=>[6,2,7,1,8,3,5,4]
[6,3,8,7,2,5,1,4]=>[5,7,1,8,2,6,4,3]
[5,8,3,7,1,6,4,2]=>[1,8,3,7,5,6,4,2]
[5,1,3,8,6,7,2,4]=>[7,5,1,8,3,6,2,4]
[1,5,3,7,8,6,2,4]=>[2,7,4,8,3,6,1,5]
[1,5,7,6,4,2,8,3]=>[8,2,6,5,4,1,3,7]
[5,8,7,4,1,6,2,3]=>[1,7,8,5,4,6,3,2]
[6,4,8,1,2,7,3,5]=>[7,2,8,4,1,5,6,3]
[6,8,5,1,2,3,7,4]=>[8,4,5,1,6,3,7,2]
[6,8,5,2,4,3,7,1]=>[6,4,1,5,3,8,7,2]
[6,8,5,3,1,2,7,4]=>[8,5,4,1,6,3,7,2]
[4,5,1,2,7,6,3,8]=>[1,7,6,3,2,4,5,8]
[4,5,1,2,6,8,7,3]=>[1,8,5,2,7,3,4,6]
[3,5,6,1,8,4,7,2]=>[2,6,1,3,8,7,4,5]
[3,5,7,1,2,8,6,4]=>[2,8,1,7,4,5,3,6]
[3,6,2,7,5,1,4,8]=>[6,7,1,3,2,5,4,8]
[4,2,6,1,7,3,5,8]=>[6,1,7,2,4,3,5,8]
[4,6,3,1,2,7,5,8]=>[1,7,4,3,5,2,6,8]
[4,5,3,1,7,6,2,8]=>[1,3,2,7,6,4,5,8]
[4,2,5,7,1,6,3,8]=>[3,1,7,2,5,6,4,8]
[3,5,2,7,8,1,6,4]=>[2,8,1,6,3,4,7,5]
[3,1,4,7,5,6,2,8]=>[1,5,7,3,6,2,4,8]
[3,4,6,5,8,7,1,2]=>[4,1,2,3,7,8,6,5]
[3,1,4,5,8,6,7,2]=>[1,6,8,3,4,7,2,5]
[3,4,6,8,5,2,7,1]=>[3,6,1,2,5,8,7,4]
[3,5,6,2,8,4,7,1]=>[2,6,1,3,8,4,7,5]
[4,2,5,6,1,8,7,3]=>[3,1,4,8,2,7,5,6]
[4,5,3,1,6,8,7,2]=>[1,3,2,8,5,7,4,6]
[2,1,7,5,8,6,4,3]=>[8,4,3,7,1,6,2,5]
[1,2,7,5,3,8,6,4]=>[4,8,7,5,1,2,3,6]
[4,1,2,7,3,8,6,5]=>[1,8,7,5,2,3,4,6]
[6,4,1,7,5,2,3,8]=>[6,2,7,5,3,1,4,8]
[6,1,3,7,5,2,4,8]=>[6,7,3,5,2,1,4,8]
[3,1,2,6,8,5,4,7]=>[1,4,7,6,8,2,3,5]
[3,7,1,2,5,4,8,6]=>[1,5,8,3,4,6,2,7]
[1,3,7,2,4,8,6,5]=>[8,7,2,4,5,1,3,6]
[2,4,1,7,8,6,5,3]=>[4,8,2,7,1,6,3,5]
[3,4,7,5,1,8,6,2]=>[4,8,1,2,7,5,3,6]
[2,7,4,1,5,8,6,3]=>[3,8,5,7,1,4,2,6]
[2,3,7,1,5,8,6,4]=>[8,5,7,1,2,4,3,6]
[5,2,8,1,3,7,4,6]=>[7,8,2,1,4,5,6,3]
[2,1,6,8,3,4,7,5]=>[8,5,1,3,6,7,2,4]
[2,6,8,3,1,5,7,4]=>[4,6,2,8,1,5,7,3]
[2,8,6,4,1,5,7,3]=>[6,4,8,5,1,3,7,2]
[3,6,4,8,5,1,7,2]=>[8,3,1,2,6,5,7,4]
[6,3,7,4,5,1,8,2]=>[4,8,2,1,6,5,3,7]
[2,6,3,7,5,8,1,4]=>[7,5,3,1,2,4,8,6]
[5,2,1,7,8,3,4,6]=>[6,7,2,1,4,8,3,5]
[4,7,2,3,6,8,1,5]=>[1,7,3,4,5,2,8,6]
[5,2,7,3,6,8,1,4]=>[7,4,1,5,2,3,8,6]
[5,7,4,6,2,8,1,3]=>[1,5,3,7,4,2,8,6]
[5,7,3,4,6,1,8,2]=>[3,1,4,8,6,5,2,7]
[5,3,8,4,6,1,7,2]=>[4,1,8,2,6,5,7,3]
[8,5,2,4,1,6,7,3]=>[6,3,4,2,8,5,7,1]
[8,2,3,5,1,6,7,4]=>[6,2,3,4,8,5,7,1]
[4,2,8,3,6,7,1,5]=>[1,7,4,5,8,2,6,3]
[2,4,8,1,7,3,5,6]=>[2,6,7,8,1,4,5,3]
[8,4,1,3,6,2,5,7]=>[4,6,2,7,3,5,8,1]
[4,8,3,1,7,2,5,6]=>[1,6,3,7,8,4,5,2]
[5,2,8,4,7,1,6,3]=>[4,1,8,6,7,2,5,3]
[5,8,4,7,3,1,6,2]=>[1,3,8,6,5,7,4,2]
[4,6,8,3,1,7,5,2]=>[4,1,2,8,7,5,6,3]
[6,3,8,2,7,1,5,4]=>[8,2,4,1,6,7,5,3]
[6,3,1,8,2,4,7,5]=>[2,8,5,6,1,7,3,4]
[5,3,8,1,2,6,4,7]=>[2,7,4,1,5,6,8,3]
[5,7,4,1,6,2,3,8]=>[6,1,7,4,3,5,2,8]
[8,5,4,1,2,6,3,7]=>[7,4,5,3,2,6,8,1]
[5,1,8,4,2,7,3,6]=>[7,4,1,8,5,6,2,3]
[1,6,2,8,5,3,7,4]=>[8,6,5,2,7,1,3,4]
[6,8,5,3,1,7,4,2]=>[4,1,8,7,5,3,6,2]
[8,4,5,1,2,6,3,7]=>[7,4,2,5,3,6,8,1]
[5,6,3,7,1,2,4,8]=>[5,3,1,6,2,7,4,8]
[1,6,3,7,2,8,4,5]=>[7,8,3,2,5,1,4,6]
[6,3,2,7,8,5,1,4]=>[7,2,4,1,8,3,6,5]
[4,5,7,8,3,1,6,2]=>[8,1,2,6,5,3,7,4]
[4,7,2,5,8,1,6,3]=>[1,4,8,3,6,2,7,5]
[8,1,3,4,6,2,5,7]=>[3,4,6,7,2,5,8,1]
[3,8,2,4,6,7,1,5]=>[7,1,3,4,5,8,6,2]
[3,5,6,8,2,7,1,4]=>[2,5,1,3,7,8,6,4]
[2,4,5,6,8,1,7,3]=>[2,3,4,8,1,6,7,5]
[4,8,3,5,6,1,7,2]=>[1,3,4,8,6,5,7,2]
[5,6,2,3,7,8,1,4]=>[7,3,1,4,2,5,8,6]
[5,8,7,3,4,1,2,6]=>[1,6,4,7,5,8,3,2]
[6,8,7,3,4,1,2,5]=>[6,4,1,7,5,8,3,2]
[6,8,4,7,1,5,3,2]=>[3,1,8,7,5,6,4,2]
[6,8,4,7,2,5,3,1]=>[3,1,8,5,7,6,4,2]
[5,4,8,7,2,6,3,1]=>[1,8,2,5,7,6,4,3]
[5,4,8,7,1,6,3,2]=>[1,8,2,7,5,6,4,3]
[5,3,8,7,6,1,2,4]=>[6,1,7,8,2,5,4,3]
[4,3,8,7,6,1,2,5]=>[1,6,7,8,2,5,4,3]
[4,8,3,7,5,1,2,6]=>[1,3,6,7,5,8,4,2]
[8,3,4,6,5,1,2,7]=>[2,3,6,7,5,4,8,1]
[3,8,4,7,5,1,2,6]=>[3,6,7,1,5,8,4,2]
[3,4,8,7,6,1,2,5]=>[6,7,8,1,2,5,4,3]
[3,5,8,7,6,1,2,4]=>[2,6,7,8,1,5,4,3]
[4,5,8,7,6,1,2,3]=>[1,2,6,7,8,5,4,3]
[4,5,8,7,1,6,3,2]=>[8,1,2,7,5,6,4,3]
[4,5,8,7,2,6,3,1]=>[8,1,2,5,7,6,4,3]
[3,5,8,2,7,6,4,1]=>[8,2,7,1,4,6,5,3]
[3,5,8,1,7,6,4,2]=>[8,2,7,1,6,4,5,3]
[2,5,8,1,7,6,4,3]=>[8,2,7,6,1,4,5,3]
[2,5,8,7,1,6,3,4]=>[2,7,8,5,6,1,4,3]
[2,4,8,7,1,6,3,5]=>[7,8,2,5,6,1,4,3]
[2,8,4,7,1,5,3,6]=>[3,7,5,6,8,1,4,2]
[8,2,4,6,1,5,3,7]=>[3,7,2,5,6,4,8,1]
[8,1,4,6,2,5,3,7]=>[3,7,5,6,2,4,8,1]
[1,8,4,7,2,5,3,6]=>[3,7,5,6,8,4,1,2]
[1,4,8,7,2,6,3,5]=>[7,8,2,5,6,4,1,3]
[1,5,8,7,2,6,3,4]=>[2,7,8,5,6,4,1,3]
[1,5,8,2,7,6,4,3]=>[8,2,7,6,4,5,1,3]
[2,5,8,3,7,6,4,1]=>[8,2,7,4,6,1,5,3]
[1,4,2,8,7,6,5,3]=>[8,7,2,6,5,1,3,4]
[1,3,8,2,7,6,4,5]=>[7,8,6,2,4,5,1,3]
[1,8,3,2,7,5,4,6]=>[7,3,6,8,4,5,1,2]
[8,1,3,2,6,5,4,7]=>[7,3,6,2,4,5,8,1]
[8,2,3,1,6,5,4,7]=>[7,2,3,6,4,5,8,1]
[2,8,3,1,7,5,4,6]=>[7,3,6,8,1,4,5,2]
[2,3,8,1,7,6,4,5]=>[7,8,6,1,2,4,5,3]
[3,4,1,8,7,6,5,2]=>[8,7,1,2,6,5,3,4]
[4,3,1,8,7,6,5,2]=>[8,1,7,2,6,5,3,4]
[4,2,1,8,7,6,5,3]=>[8,1,7,6,2,5,3,4]
[3,8,2,1,7,5,4,6]=>[7,1,3,6,8,4,5,2]
[8,3,2,1,6,5,4,7]=>[2,7,3,6,4,5,8,1]
[8,4,2,6,1,5,3,7]=>[7,3,2,5,6,4,8,1]
[4,2,8,7,1,6,3,5]=>[1,7,8,5,6,2,4,3]
[5,2,8,7,1,6,3,4]=>[7,1,8,5,6,2,4,3]
[5,2,8,1,7,6,4,3]=>[1,8,7,6,2,4,5,3]
[5,3,8,1,7,6,4,2]=>[1,8,7,2,6,4,5,3]
[5,3,8,2,7,6,4,1]=>[1,8,7,2,4,6,5,3]
[6,8,3,2,7,5,4,1]=>[8,3,1,7,4,6,5,2]
[6,8,3,1,7,5,4,2]=>[8,3,1,7,6,4,5,2]
[6,8,2,1,7,5,4,3]=>[8,7,3,1,6,4,5,2]
[6,8,2,7,1,5,3,4]=>[7,8,3,1,5,6,4,2]
[6,8,7,2,1,4,3,5]=>[4,7,5,1,6,8,3,2]
[8,5,6,1,2,4,3,7]=>[7,4,5,2,6,3,8,1]
[5,8,7,1,2,4,3,6]=>[7,4,1,5,6,8,3,2]
[6,8,1,2,7,5,4,3]=>[8,7,6,3,1,4,5,2]
[6,8,2,3,7,5,4,1]=>[8,7,3,1,4,6,5,2]
[5,2,8,3,7,6,4,1]=>[1,8,7,4,6,2,5,3]
[5,1,8,3,7,6,4,2]=>[1,8,7,4,6,5,2,3]
[5,1,8,7,2,6,3,4]=>[7,1,8,5,6,4,2,3]
[4,1,8,7,2,6,3,5]=>[1,7,8,5,6,4,2,3]
[4,8,1,7,2,5,3,6]=>[1,7,5,6,8,3,4,2]
[8,4,1,6,2,5,3,7]=>[7,5,2,6,3,4,8,1]
[8,3,1,2,6,5,4,7]=>[2,7,6,3,4,5,8,1]
[3,8,1,2,7,5,4,6]=>[7,1,6,8,3,4,5,2]
[3,1,8,2,7,6,4,5]=>[7,8,1,6,4,5,2,3]
[3,1,2,8,7,6,5,4]=>[8,7,1,6,5,2,3,4]
[4,1,3,8,7,6,5,2]=>[8,1,7,6,3,5,2,4]
[3,1,4,8,7,6,5,2]=>[8,7,1,6,3,5,2,4]
[2,1,8,3,7,6,4,5]=>[7,8,6,1,4,5,2,3]
[2,8,1,3,7,5,4,6]=>[7,6,8,1,3,4,5,2]
[8,2,1,3,6,5,4,7]=>[7,2,6,3,4,5,8,1]
[8,1,2,3,6,5,4,7]=>[7,6,2,3,4,5,8,1]
[1,8,2,3,7,5,4,6]=>[7,6,8,3,4,5,1,2]
[1,2,8,3,7,6,4,5]=>[7,8,6,4,5,1,2,3]
[1,4,3,6,8,2,5,7]=>[2,6,3,4,7,8,1,5]
[3,1,6,2,5,8,4,7]=>[1,5,7,3,8,2,4,6]
[3,5,1,8,2,4,7,6]=>[8,1,5,2,6,7,3,4]
[1,4,5,2,8,3,7,6]=>[2,3,8,6,7,1,4,5]
[1,4,2,6,5,8,3,7]=>[2,5,4,7,8,1,3,6]
[1,5,4,2,6,8,3,7]=>[5,3,2,7,8,1,4,6]
[3,1,6,5,8,2,4,7]=>[6,1,4,3,7,8,2,5]
[1,6,4,2,5,8,3,7]=>[5,3,7,2,8,1,4,6]
[1,5,2,6,4,8,3,7]=>[5,4,2,7,8,1,3,6]
[1,2,6,5,4,8,3,7]=>[5,4,3,7,8,1,2,6]
[1,2,5,4,7,3,8,6]=>[3,8,4,6,1,2,5,7]
[4,1,2,6,3,8,7,5]=>[4,1,8,7,2,3,5,6]
[7,1,5,4,2,8,3,6]=>[7,4,3,8,2,5,1,6]
[1,4,7,5,2,8,3,6]=>[7,2,4,8,5,1,3,6]
[7,1,3,5,2,8,4,6]=>[7,3,4,8,2,5,1,6]
[7,2,5,1,8,3,4,6]=>[6,7,2,3,8,4,1,5]
[1,4,5,2,8,7,3,6]=>[2,3,7,8,6,1,4,5]
[1,6,4,2,8,3,7,5]=>[3,8,6,2,7,1,4,5]
[1,4,2,8,3,7,6,5]=>[8,2,7,5,6,1,3,4]
[1,2,5,3,8,7,6,4]=>[8,3,7,6,1,2,4,5]
[1,2,8,6,5,3,7,4]=>[8,6,5,4,7,1,2,3]
[1,5,2,8,6,3,7,4]=>[2,8,6,5,7,1,3,4]
[1,6,4,2,8,7,3,5]=>[3,7,2,8,6,1,4,5]
[6,2,1,8,7,3,4,5]=>[6,7,8,2,1,5,3,4]
[7,6,2,1,8,3,4,5]=>[3,6,7,8,4,2,1,5]
[7,3,1,6,2,8,4,5]=>[2,7,8,5,3,4,1,6]
[1,7,6,4,2,8,3,5]=>[7,4,8,5,3,1,2,6]
[1,7,5,2,6,3,8,4]=>[8,6,4,3,5,1,2,7]
[1,6,2,7,5,3,8,4]=>[8,6,5,3,1,2,4,7]
[1,2,7,6,5,3,8,4]=>[8,6,5,4,1,2,3,7]
[1,2,6,5,3,8,7,4]=>[4,3,8,7,1,2,5,6]
[1,5,2,6,3,8,7,4]=>[4,2,8,7,1,3,5,6]
[1,5,2,7,6,3,8,4]=>[2,8,6,5,1,3,4,7]
[1,6,5,2,7,3,8,4]=>[8,6,4,3,1,2,5,7]
[1,5,7,4,2,8,3,6]=>[2,7,4,8,5,1,3,6]
[4,1,2,8,6,3,7,5]=>[1,8,6,5,7,2,3,4]
[3,1,8,6,2,4,7,5]=>[8,1,5,6,4,7,2,3]
[4,3,7,1,8,2,5,6]=>[2,1,6,7,8,4,3,5]
[8,3,1,6,2,4,7,5]=>[2,8,5,6,3,4,7,1]
[7,1,8,3,2,4,6,5]=>[4,8,5,6,7,2,1,3]
[1,8,7,3,2,4,6,5]=>[4,8,5,6,7,3,1,2]
[1,4,2,8,7,3,6,5]=>[8,2,6,7,5,1,3,4]
[1,7,4,2,8,3,6,5]=>[3,8,6,7,4,1,2,5]
[8,1,5,4,2,7,3,6]=>[7,4,3,8,2,5,6,1]
[1,4,8,5,2,7,3,6]=>[7,2,4,8,5,6,1,3]
[8,5,3,1,7,2,4,6]=>[6,3,7,2,8,4,5,1]
[8,6,2,1,7,3,4,5]=>[3,6,7,8,4,2,5,1]
[1,8,6,4,2,7,3,5]=>[7,4,8,5,3,6,1,2]
[1,8,5,2,6,3,7,4]=>[8,6,4,3,5,7,1,2]
[1,5,2,7,3,8,6,4]=>[2,8,7,5,1,3,4,6]
[1,2,8,5,3,7,6,4]=>[4,8,7,5,6,1,2,3]
[1,2,6,3,8,7,5,4]=>[3,8,7,6,1,2,4,5]
[1,2,7,6,3,8,5,4]=>[8,7,5,4,1,2,3,6]
[1,6,2,7,3,8,5,4]=>[8,7,5,3,1,2,4,6]
[1,7,2,8,5,3,6,4]=>[8,6,5,7,3,1,2,4]
[1,7,4,2,8,6,3,5]=>[3,7,8,6,4,1,2,5]
[7,1,8,3,2,6,4,5]=>[4,7,8,5,6,2,1,3]
[7,2,1,8,6,3,4,5]=>[6,7,8,2,5,3,1,4]
[1,8,7,3,2,6,4,5]=>[4,7,8,5,6,3,1,2]
[1,4,2,8,7,6,3,5]=>[7,8,2,6,5,1,3,4]
[1,2,8,7,5,3,6,4]=>[8,6,5,7,4,1,2,3]
[1,2,8,6,3,7,5,4]=>[8,7,5,4,6,1,2,3]
[1,2,7,3,8,6,5,4]=>[8,7,6,4,1,2,3,5]
[4,1,7,3,6,5,8,2]=>[1,6,4,5,3,8,2,7]
[5,1,8,7,6,2,4,3]=>[1,8,6,7,5,4,2,3]
[8,1,7,6,3,4,5,2]=>[5,6,8,7,4,2,3,1]
[5,7,8,6,2,4,1,3]=>[1,5,7,2,8,6,4,3]
[5,7,1,6,2,4,3,8]=>[7,5,1,6,3,4,2,8]
[6,4,1,5,2,7,3,8]=>[7,5,3,2,4,1,6,8]
[8,1,4,5,3,7,6,2]=>[3,4,8,5,7,2,6,1]
[6,1,4,5,3,8,7,2]=>[3,4,8,5,1,7,2,6]
[6,1,4,5,3,7,8,2]=>[3,5,4,6,1,8,2,7]
[5,1,7,8,6,2,4,3]=>[1,8,6,3,7,5,2,4]
[6,1,4,8,3,5,7,2]=>[3,5,6,1,8,7,2,4]
[7,1,8,6,3,4,5,2]=>[5,6,8,7,4,2,1,3]
[7,1,4,5,3,8,6,2]=>[3,4,8,5,7,2,1,6]
[7,1,4,5,3,6,8,2]=>[3,5,4,6,8,2,1,7]
[8,1,4,5,3,6,7,2]=>[3,5,4,6,8,2,7,1]
[7,4,1,5,2,6,3,8]=>[7,5,3,2,4,6,1,8]
[6,3,5,7,2,1,4,8]=>[6,2,5,3,1,7,4,8]
[6,3,5,8,2,1,7,4]=>[5,2,3,1,8,6,7,4]
[6,3,5,7,2,1,8,4]=>[5,2,3,1,8,6,4,7]
[8,4,5,7,3,6,1,2]=>[2,3,7,5,8,6,4,1]
[6,4,5,8,3,7,2,1]=>[2,3,1,5,8,7,6,4]
[5,8,7,6,2,4,1,3]=>[1,5,7,8,6,4,3,2]
[5,4,8,6,3,1,7,2]=>[1,8,2,6,5,4,7,3]
[5,4,1,8,2,3,7,6]=>[8,5,2,1,6,7,3,4]
[5,8,1,6,2,4,3,7]=>[7,5,1,6,3,4,8,2]
[8,4,1,5,2,6,3,7]=>[7,5,3,2,4,6,8,1]
[6,3,5,8,2,1,4,7]=>[6,2,5,3,1,7,8,4]
[2,3,4,1,8,6,5,7]=>[7,1,2,3,6,8,4,5]
[8,3,5,6,2,1,4,7]=>[6,2,5,3,7,4,8,1]
[2,3,8,5,1,4,7,6]=>[8,5,1,2,4,6,7,3]
[2,3,8,6,1,5,7,4]=>[6,8,5,1,2,4,7,3]
[2,8,6,7,1,3,5,4]=>[8,5,6,3,7,1,4,2]
[8,3,5,7,2,1,6,4]=>[5,2,3,8,6,7,4,1]
[2,3,8,5,6,1,7,4]=>[4,8,6,1,2,5,7,3]
[7,4,5,6,3,1,8,2]=>[2,3,8,6,5,4,1,7]
[8,4,5,6,3,1,7,2]=>[2,3,8,6,5,4,7,1]
[7,3,5,6,2,8,1,4]=>[5,2,3,7,4,1,8,6]
[7,3,5,8,2,1,6,4]=>[5,2,3,8,6,1,7,4]
[7,3,5,6,2,1,4,8]=>[6,2,5,3,7,4,1,8]
[2,7,6,5,1,3,4,8]=>[5,6,7,4,1,3,2,8]
[2,7,6,8,1,3,5,4]=>[8,5,6,3,1,2,7,4]
[2,7,6,5,8,3,1,4]=>[7,6,4,3,1,2,8,5]
[8,7,5,6,1,4,2,3]=>[7,8,5,3,6,4,2,1]
[2,6,4,1,8,5,7,3]=>[3,6,2,8,1,7,4,5]
[2,6,1,3,8,5,7,4]=>[6,8,7,1,3,2,4,5]
[2,7,1,3,6,5,8,4]=>[6,5,8,1,3,4,2,7]
[2,7,6,8,4,3,1,5]=>[7,6,5,3,1,2,8,4]
[2,7,6,1,8,3,4,5]=>[6,7,8,4,1,3,2,5]
[2,7,6,1,4,3,5,8]=>[6,4,5,7,1,3,2,8]
[7,3,5,1,2,8,4,6]=>[2,7,8,4,3,5,1,6]
[8,4,1,5,2,3,7,6]=>[8,5,3,2,4,6,7,1]
[7,8,1,6,3,4,2,5]=>[5,7,6,8,3,1,4,2]
[6,4,1,8,3,2,7,5]=>[5,2,8,6,1,7,3,4]
[2,3,8,6,4,1,7,5]=>[5,8,6,1,2,4,7,3]
[2,8,6,7,4,3,1,5]=>[7,6,5,3,8,1,4,2]
[8,3,5,7,2,4,1,6]=>[5,2,3,7,6,8,4,1]
[2,3,4,1,8,7,5,6]=>[7,8,1,2,3,6,4,5]
[2,8,6,1,7,3,4,5]=>[6,7,8,4,1,3,5,2]
[2,3,8,1,6,4,7,5]=>[8,6,1,2,4,5,7,3]
[2,3,8,1,4,5,7,6]=>[8,1,2,4,5,6,7,3]
[2,8,6,1,4,3,5,7]=>[6,4,5,7,1,3,8,2]
[8,4,3,6,5,1,7,2]=>[2,8,3,6,5,4,7,1]
[8,5,6,3,4,1,7,2]=>[4,2,8,6,5,3,7,1]
[8,6,5,4,3,1,7,2]=>[8,6,5,4,3,2,7,1]
[1,7,6,5,4,2,3,8]=>[6,7,5,4,3,1,2,8]
[1,8,6,5,2,7,3,4]=>[7,8,5,4,3,6,1,2]
[8,7,5,4,1,6,3,2]=>[8,7,5,4,3,6,2,1]
[7,8,5,4,1,3,6,2]=>[6,8,5,4,3,1,7,2]
[6,8,5,4,2,1,7,3]=>[5,1,8,6,4,3,7,2]
[5,8,6,2,4,1,7,3]=>[1,8,4,6,5,3,7,2]
[4,8,2,6,5,1,7,3]=>[8,1,6,3,5,4,7,2]
[3,2,8,6,5,1,7,4]=>[8,6,1,5,2,4,7,3]
[3,2,1,7,6,4,5,8]=>[1,6,7,2,5,3,4,8]
[4,1,3,7,6,2,5,8]=>[6,1,7,3,5,2,4,8]
[5,1,7,3,6,2,4,8]=>[4,6,1,7,5,2,3,8]
[6,1,7,5,3,2,4,8]=>[6,5,7,4,2,1,3,8]
[7,1,6,5,2,4,3,8]=>[7,5,6,4,2,3,1,8]
[8,1,6,5,2,3,7,4]=>[8,5,6,4,2,3,7,1]
[1,2,7,6,3,4,5,8]=>[5,6,7,4,1,2,3,8]
[1,2,8,3,7,4,5,6]=>[6,7,8,4,5,1,2,3]
[8,1,7,2,6,3,5,4]=>[8,6,7,4,5,2,3,1]
[7,1,8,2,6,4,3,5]=>[7,6,8,4,5,2,1,3]
[6,1,8,2,4,7,3,5]=>[5,7,8,4,1,6,2,3]
[5,1,8,3,2,7,4,6]=>[4,7,1,8,5,6,2,3]
[4,1,3,8,2,7,5,6]=>[7,1,8,3,5,6,2,4]
[3,2,1,8,4,7,5,6]=>[1,7,8,2,5,6,3,4]
[3,2,8,7,1,6,5,4]=>[8,7,1,5,6,2,4,3]
[4,8,2,7,1,6,5,3]=>[8,1,7,3,5,6,4,2]
[5,8,7,2,1,6,4,3]=>[1,8,4,7,5,6,3,2]
[6,8,7,1,3,5,4,2]=>[8,5,1,7,4,6,3,2]
[7,8,6,1,5,3,4,2]=>[6,8,7,4,1,5,3,2]
[8,7,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]
[1,8,7,2,6,5,3,4]=>[7,8,6,4,5,3,1,2]
[1,7,8,2,5,6,3,4]=>[7,5,8,4,2,6,1,3]
[8,6,7,1,4,5,3,2]=>[5,8,7,4,2,6,3,1]
[7,6,8,1,4,3,5,2]=>[6,5,8,4,2,1,7,3]
[6,5,8,3,2,1,7,4]=>[5,4,2,1,8,6,7,3]
[7,5,8,3,1,4,6,2]=>[6,4,2,8,5,1,7,3]
[8,5,7,3,1,6,4,2]=>[4,2,8,7,5,6,3,1]
[1,6,8,4,2,7,3,5]=>[7,4,2,8,5,6,1,3]
[1,5,4,8,2,7,3,6]=>[3,2,7,8,5,6,1,4]
[8,4,3,7,1,6,5,2]=>[2,8,3,7,5,6,4,1]
[7,4,3,8,1,5,6,2]=>[3,2,6,8,5,1,7,4]
[6,4,3,1,5,2,7,8]=>[6,4,3,2,5,1,7,8]
[7,4,3,1,2,6,5,8]=>[7,4,3,2,5,6,1,8]
[8,4,3,1,2,5,7,6]=>[8,4,3,2,5,6,7,1]
[1,5,4,2,3,6,7,8]=>[4,5,3,1,2,6,7,8]
[8,5,1,4,2,3,7,6]=>[8,5,3,4,2,6,7,1]
[7,5,1,4,2,6,3,8]=>[7,5,3,4,2,6,1,8]
[6,5,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]
[5,6,1,3,4,2,7,8]=>[4,6,3,1,5,2,7,8]
[4,6,2,1,5,3,7,8]=>[3,1,6,4,5,2,7,8]
[3,2,6,1,5,4,7,8]=>[1,6,2,4,5,3,7,8]
[3,2,7,1,4,6,5,8]=>[1,7,2,4,5,6,3,8]
[4,7,2,1,3,6,5,8]=>[3,1,7,4,5,6,2,8]
[5,7,1,3,2,6,4,8]=>[4,7,3,1,5,6,2,8]
[6,7,1,2,4,5,3,8]=>[5,7,3,4,1,6,2,8]
[7,6,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]
[8,6,1,2,5,3,7,4]=>[8,6,3,4,5,2,7,1]
[1,7,2,3,6,4,5,8]=>[6,7,3,4,5,1,2,8]
[8,7,1,2,3,6,5,4]=>[8,7,3,4,5,6,2,1]
[7,8,1,2,3,5,6,4]=>[6,8,3,4,5,1,7,2]
[6,8,1,2,4,3,7,5]=>[5,8,3,4,1,6,7,2]
[5,8,1,3,2,4,7,6]=>[4,8,3,1,5,6,7,2]
[4,8,2,1,3,5,7,6]=>[3,1,8,4,5,6,7,2]
[3,2,8,1,4,5,7,6]=>[1,8,2,4,5,6,7,3]
[4,1,3,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]
[5,1,2,4,3,6,7,8]=>[5,2,3,4,1,6,7,8]
[6,1,2,3,5,4,7,8]=>[6,2,3,4,5,1,7,8]
[7,1,2,3,4,6,5,8]=>[7,2,3,4,5,6,1,8]
[8,1,2,3,4,5,7,6]=>[8,2,3,4,5,6,7,1]
[6,7,3,8,5,1,2,4]=>[3,6,1,7,2,8,5,4]
[6,7,4,5,1,8,3,2]=>[3,1,8,7,5,4,2,6]
[5,4,7,6,8,1,2,3]=>[2,1,6,7,4,3,8,5]
[5,3,7,8,6,1,2,4]=>[6,1,7,2,3,8,5,4]
[3,8,4,5,7,1,2,6]=>[3,6,1,4,7,8,5,2]
[3,4,8,6,7,1,2,5]=>[6,7,1,2,4,8,5,3]
[4,5,6,7,1,8,3,2]=>[1,2,3,8,7,5,4,6]
[3,5,6,2,7,4,8,1]=>[2,6,1,4,3,5,8,7]
[3,5,6,1,7,8,4,2]=>[2,5,1,3,8,7,4,6]
[2,5,6,1,8,7,4,3]=>[2,3,8,7,1,6,4,5]
[2,5,6,8,1,7,3,4]=>[2,7,3,8,1,5,6,4]
[8,2,4,5,1,6,3,7]=>[3,7,2,5,4,6,8,1]
[1,4,8,6,2,3,7,5]=>[8,2,5,6,4,7,1,3]
[1,5,6,8,2,3,7,4]=>[2,8,5,3,6,7,1,4]
[1,5,6,2,8,4,7,3]=>[2,6,3,8,7,1,4,5]
[2,5,6,3,4,7,8,1]=>[4,2,5,1,3,6,8,7]
[1,4,2,6,8,5,7,3]=>[2,4,6,8,7,1,3,5]
[8,1,3,2,5,4,6,7]=>[3,6,2,4,5,7,8,1]
[8,2,3,1,5,6,4,7]=>[2,3,5,7,4,6,8,1]
[2,8,3,1,5,7,4,6]=>[3,5,7,8,1,4,6,2]
[2,4,1,6,8,7,5,3]=>[8,2,4,7,1,6,3,5]
[3,4,1,6,7,8,5,2]=>[1,2,4,5,8,7,3,6]
[4,3,1,7,6,8,5,2]=>[1,5,2,4,8,7,3,6]
[5,2,7,8,1,6,3,4]=>[7,1,8,5,2,3,6,4]
[5,3,7,2,6,4,8,1]=>[6,2,1,4,5,3,8,7]
[6,7,3,1,5,8,4,2]=>[3,5,1,8,7,4,2,6]
[6,7,2,1,8,5,4,3]=>[8,7,3,1,6,4,2,5]
[6,7,2,8,1,5,3,4]=>[7,8,3,1,5,2,6,4]
[6,7,8,2,1,4,3,5]=>[4,7,5,1,6,2,8,3]
[6,7,1,2,8,4,5,3]=>[6,8,7,3,1,4,2,5]
[6,7,1,3,4,8,5,2]=>[8,4,5,1,7,3,2,6]
[5,2,7,3,4,6,8,1]=>[4,5,1,6,2,3,8,7]
[5,1,7,3,4,8,6,2]=>[8,4,1,5,3,7,2,6]
[5,1,7,8,2,3,6,4]=>[8,5,1,6,3,7,2,4]
[4,1,8,7,2,3,6,5]=>[1,8,5,6,7,4,2,3]
[3,8,1,2,7,4,5,6]=>[1,6,7,8,3,4,5,2]
[4,1,3,7,5,8,6,2]=>[1,8,5,3,4,7,2,6]
[3,1,4,5,7,8,6,2]=>[1,5,8,3,4,7,2,6]
[2,1,8,3,4,7,6,5]=>[8,7,1,4,5,6,2,3]
[8,2,1,3,4,6,5,7]=>[2,7,3,4,5,6,8,1]
[1,8,2,3,4,5,7,6]=>[8,3,4,5,6,7,1,2]
[1,2,8,3,4,6,7,5]=>[6,8,4,5,7,1,2,3]
[4,2,1,6,5,8,7,3]=>[4,1,8,2,5,7,3,6]
[5,2,6,1,4,8,7,3]=>[8,5,2,1,3,7,4,6]
[5,2,6,4,1,8,7,3]=>[4,3,1,8,2,7,5,6]
[5,2,7,4,8,1,6,3]=>[4,1,8,6,2,3,7,5]
[5,2,7,4,8,6,1,3]=>[4,1,7,3,8,2,6,5]
[5,7,2,3,8,6,1,4]=>[7,1,8,3,4,2,6,5]
[5,7,2,3,8,1,6,4]=>[8,3,1,4,6,2,7,5]
[5,6,2,3,1,8,7,4]=>[8,3,1,4,2,7,5,6]
[5,6,2,1,3,8,7,4]=>[8,3,1,7,4,2,5,6]
[5,1,6,4,2,8,7,3]=>[4,3,1,8,7,2,5,6]
[5,6,1,3,2,8,7,4]=>[8,4,1,7,3,2,5,6]
[5,6,3,1,2,8,7,4]=>[3,1,8,7,4,2,5,6]
[5,6,3,2,1,8,7,4]=>[3,1,8,4,2,7,5,6]
[5,7,3,2,8,1,6,4]=>[3,1,8,4,6,2,7,5]
[5,7,3,2,8,6,1,4]=>[3,1,7,8,4,2,6,5]
[6,7,3,8,2,1,5,4]=>[3,5,1,8,6,2,7,4]
[6,7,3,8,1,2,5,4]=>[3,8,5,1,6,2,7,4]
[5,7,3,1,8,2,6,4]=>[3,1,8,6,7,4,2,5]
[5,7,1,3,8,2,6,4]=>[8,4,1,6,7,3,2,5]
[5,1,7,4,8,2,6,3]=>[4,1,8,6,3,7,2,5]
[1,5,7,4,8,3,6,2]=>[2,4,6,3,8,7,1,5]
[1,5,7,4,8,6,3,2]=>[8,2,4,3,7,6,1,5]
[5,1,7,4,8,6,2,3]=>[4,1,7,3,8,6,2,5]
[5,7,1,3,8,6,2,4]=>[7,1,8,4,6,3,2,5]
[5,7,3,1,8,6,2,4]=>[3,1,7,8,6,4,2,5]
[6,7,3,8,1,5,2,4]=>[3,7,1,8,5,2,6,4]
[6,7,3,8,5,2,1,4]=>[7,3,1,6,2,8,5,4]
[6,7,8,3,1,4,2,5]=>[7,5,4,1,6,2,8,3]
[6,7,1,8,3,5,2,4]=>[5,7,1,8,6,3,2,4]
[6,1,7,8,4,5,2,3]=>[7,5,3,1,8,6,2,4]
[1,6,7,8,4,5,3,2]=>[2,5,3,8,7,6,1,4]
[1,6,7,8,4,3,5,2]=>[2,6,5,3,8,7,1,4]
[6,1,7,8,4,2,5,3]=>[8,6,5,3,1,7,2,4]
[6,7,1,8,3,2,5,4]=>[5,8,6,1,7,3,2,4]
[5,7,2,1,8,3,6,4]=>[8,3,1,6,7,4,2,5]
[6,7,2,8,1,3,5,4]=>[8,3,5,1,6,2,7,4]
[6,7,2,8,3,1,5,4]=>[5,8,3,1,6,2,7,4]
[6,7,2,8,3,5,1,4]=>[5,7,1,8,3,2,6,4]
[6,2,7,8,4,5,1,3]=>[7,5,3,1,8,2,6,4]
[6,2,7,8,4,1,5,3]=>[8,6,5,2,1,3,7,4]
[6,2,7,8,1,4,5,3]=>[6,8,5,2,1,3,7,4]
[5,2,7,1,8,4,6,3]=>[6,1,8,7,2,4,3,5]
[4,2,1,7,8,5,6,3]=>[1,6,4,8,2,7,3,5]
[4,1,2,7,8,6,5,3]=>[1,4,8,7,6,2,3,5]
[6,2,7,8,1,5,4,3]=>[8,7,5,2,1,3,6,4]
[6,2,7,8,5,1,4,3]=>[8,6,3,1,7,2,5,4]
[6,2,7,8,5,4,1,3]=>[7,3,1,8,6,2,5,4]
[6,7,2,8,5,3,1,4]=>[7,6,1,8,3,2,5,4]
[5,7,2,1,8,6,3,4]=>[7,1,8,3,6,4,2,5]
[5,7,1,2,8,6,3,4]=>[7,1,8,6,3,4,2,5]
[5,1,7,2,8,6,4,3]=>[1,8,7,6,4,2,3,5]
[1,5,7,3,8,6,4,2]=>[8,2,7,4,3,6,1,5]
[1,6,7,8,3,5,4,2]=>[2,8,5,3,7,6,1,4]
[6,1,7,8,2,5,4,3]=>[8,7,5,3,1,6,2,4]
[6,7,1,8,2,5,3,4]=>[7,8,5,1,6,3,2,4]
[6,7,8,2,4,1,3,5]=>[4,6,1,7,5,2,8,3]
[6,7,8,2,4,3,1,5]=>[7,4,1,6,5,2,8,3]
[6,7,1,8,5,2,3,4]=>[6,7,1,8,5,3,2,4]
[6,1,7,8,5,2,4,3]=>[8,6,3,1,7,5,2,4]
[1,6,7,8,5,3,4,2]=>[2,6,3,8,7,5,1,4]
[6,1,7,8,5,4,2,3]=>[7,3,1,8,6,5,2,4]
[6,7,1,8,5,3,2,4]=>[7,6,1,8,5,3,2,4]
[6,7,8,4,1,3,2,5]=>[7,5,1,6,4,2,8,3]
[6,3,8,5,2,7,4,1]=>[8,5,2,1,4,7,6,3]
[6,5,2,8,4,7,3,1]=>[5,2,1,8,7,3,6,4]
[6,3,4,5,8,7,2,1]=>[8,2,3,1,4,7,6,5]
[3,8,4,7,5,2,1,6]=>[7,3,6,1,5,8,4,2]
[5,8,1,4,7,2,3,6]=>[6,4,1,7,8,3,5,2]
[5,6,1,4,8,7,3,2]=>[1,8,4,2,7,6,3,5]
[3,6,4,8,5,7,1,2]=>[7,3,1,2,5,8,6,4]
[5,1,4,8,6,3,7,2]=>[6,3,1,5,8,7,2,4]
[3,4,7,1,8,6,5,2]=>[8,7,1,2,6,4,3,5]
[6,3,8,4,2,7,1,5]=>[5,2,4,1,7,8,6,3]
[3,6,8,7,1,4,2,5]=>[7,5,1,2,6,8,4,3]
[5,3,7,1,6,8,2,4]=>[7,2,1,5,8,4,3,6]
[4,3,8,5,6,7,2,1]=>[1,4,5,8,2,7,6,3]
[5,8,1,7,6,2,4,3]=>[1,8,6,7,5,3,4,2]
[4,6,1,2,7,8,5,3]=>[1,5,8,7,3,2,4,6]
[3,6,4,2,8,7,5,1]=>[8,3,1,2,7,4,6,5]
[6,3,7,5,2,8,1,4]=>[5,7,2,1,4,3,8,6]
[6,5,2,7,4,8,1,3]=>[7,5,3,2,1,4,8,6]
[5,7,1,4,8,3,2,6]=>[4,1,7,6,8,3,2,5]
[7,8,3,5,1,4,6,2]=>[3,6,8,5,4,1,7,2]
[5,8,1,4,6,7,2,3]=>[4,1,7,5,8,3,6,2]
[6,5,8,4,3,7,2,1]=>[2,1,5,4,8,7,6,3]
[6,3,7,4,2,8,5,1]=>[4,8,2,1,5,3,7,6]
[8,7,1,6,2,4,5,3]=>[6,8,5,7,3,4,2,1]
[3,8,6,7,1,4,5,2]=>[6,8,5,1,3,7,4,2]
[5,3,8,7,4,1,2,6]=>[6,1,7,2,5,8,4,3]
[4,3,8,7,1,5,6,2]=>[1,6,8,2,5,7,4,3]
[8,3,6,1,2,5,7,4]=>[2,6,8,4,5,3,7,1]
[5,6,1,8,7,3,2,4]=>[1,7,6,2,8,5,3,4]
[5,4,2,7,3,6,8,1]=>[5,2,1,6,3,4,8,7]
[7,5,3,6,4,2,8,1]=>[6,3,2,5,4,1,8,7]
[6,4,1,5,3,8,2,7]=>[5,4,2,7,1,8,3,6]
[8,5,2,6,4,7,3,1]=>[5,4,2,8,3,7,6,1]
[8,2,6,3,4,7,5,1]=>[8,4,5,2,3,7,6,1]
[7,2,6,3,5,4,8,1]=>[6,4,5,2,3,1,8,7]
[6,2,7,4,3,5,8,1]=>[5,4,6,2,1,3,8,7]
[5,7,3,6,4,2,8,1]=>[1,6,3,5,4,2,8,7]
[3,7,6,4,5,2,8,1]=>[4,6,5,1,3,2,8,7]
[2,7,6,5,3,4,8,1]=>[5,6,4,3,1,2,8,7]
[6,5,4,3,1,8,2,7]=>[7,4,3,2,1,8,5,6]
[8,6,5,4,2,7,3,1]=>[8,5,4,3,2,7,6,1]
[8,5,4,1,7,2,6,3]=>[8,6,3,2,7,4,5,1]
[7,5,4,1,8,3,2,6]=>[7,6,3,2,8,4,1,5]
[1,6,5,2,8,3,4,7]=>[6,7,3,2,8,1,4,5]
[5,7,4,2,1,8,3,6]=>[4,1,7,3,8,5,2,6]
[1,6,5,3,4,8,2,7]=>[4,5,3,2,7,8,1,6]
[5,4,6,3,1,8,2,7]=>[2,1,7,4,3,8,5,6]
[6,5,8,4,2,7,3,1]=>[2,1,8,5,4,7,6,3]
[5,8,2,6,4,7,3,1]=>[1,5,4,8,3,7,6,2]
[3,8,6,2,5,7,4,1]=>[5,8,4,1,3,7,6,2]
[7,8,5,3,2,6,4,1]=>[4,8,5,3,1,7,6,2]
[6,8,3,1,7,2,5,4]=>[3,8,6,1,7,4,5,2]
[1,8,6,3,7,5,2,4]=>[7,8,4,3,6,5,1,2]
[8,7,5,2,6,4,3,1]=>[8,7,4,3,6,5,2,1]
[8,7,1,6,2,5,4,3]=>[8,7,5,6,3,4,2,1]
[7,8,1,6,3,2,5,4]=>[5,8,6,7,3,1,4,2]
[2,8,1,7,3,5,6,4]=>[6,8,5,7,1,3,4,2]
[3,8,6,1,7,4,5,2]=>[6,8,7,1,4,3,5,2]
[4,8,1,3,7,2,6,5]=>[1,8,4,6,7,3,5,2]
[4,2,8,5,7,3,6,1]=>[1,4,6,8,7,2,5,3]
[5,1,7,6,8,3,2,4]=>[1,7,6,4,3,8,2,5]
[3,7,1,5,8,4,2,6]=>[4,7,1,6,8,3,2,5]
[6,7,3,1,8,4,2,5]=>[3,7,6,1,8,4,2,5]
[1,7,3,8,4,5,2,6]=>[5,7,3,6,2,8,1,4]
[1,7,2,8,5,3,4,6]=>[6,7,5,8,3,1,2,4]
[7,6,1,8,4,3,2,5]=>[7,6,5,8,3,2,1,4]
[8,6,1,7,4,2,5,3]=>[8,6,5,7,3,2,4,1]
[8,1,2,7,3,4,6,5]=>[8,5,6,7,2,3,4,1]
[7,1,2,8,3,5,4,6]=>[7,5,6,8,2,3,1,4]
[7,2,6,1,8,4,3,5]=>[7,6,8,2,4,3,1,5]
[8,2,6,1,7,3,5,4]=>[8,6,7,2,4,3,5,1]
[8,3,1,4,7,5,6,2]=>[2,6,8,4,7,3,5,1]
[7,3,1,5,8,4,2,6]=>[2,4,7,6,8,3,1,5]
[4,2,1,5,8,3,6,7]=>[2,4,1,6,7,8,3,5]
[5,4,2,7,1,8,3,6]=>[7,2,1,8,3,5,4,6]
[5,4,3,1,6,8,2,7]=>[5,3,2,1,7,8,4,6]
[4,7,5,6,8,3,2,1]=>[3,4,1,2,8,7,6,5]
[6,5,4,8,2,7,3,1]=>[3,2,1,8,5,7,6,4]
[6,5,2,8,7,3,4,1]=>[6,2,1,8,7,3,5,4]
[6,5,1,8,7,4,2,3]=>[7,2,1,8,6,5,3,4]
[8,6,4,7,5,3,2,1]=>[8,3,2,7,6,5,4,1]
[5,1,8,3,7,6,2,4]=>[7,1,8,4,6,5,2,3]
[5,4,8,1,7,2,6,3]=>[2,1,8,6,7,4,5,3]
[7,5,8,3,2,6,4,1]=>[4,2,8,5,1,7,6,3]
[3,6,8,2,4,7,5,1]=>[8,4,1,2,5,7,6,3]
[5,7,3,8,2,6,4,1]=>[1,8,3,5,2,7,6,4]
[5,4,6,8,2,7,3,1]=>[2,1,3,8,5,7,6,4]
[5,2,6,8,7,3,4,1]=>[3,1,6,8,7,2,5,4]
[4,7,2,8,6,3,5,1]=>[6,8,1,7,3,2,5,4]
[3,6,8,1,7,2,5,4]=>[8,6,1,2,7,4,5,3]
[2,3,8,7,4,5,6,1]=>[5,6,8,7,1,2,4,3]
[7,2,8,6,4,3,5,1]=>[6,5,8,7,2,1,4,3]
[2,1,8,7,5,6,3,4]=>[7,5,8,6,1,4,2,3]
[8,2,7,6,3,5,4,1]=>[8,5,7,6,2,4,3,1]
[8,1,7,6,5,2,4,3]=>[8,6,7,5,4,2,3,1]
[7,1,8,6,5,3,2,4]=>[7,6,8,5,4,2,1,3]
[1,2,8,7,6,3,4,5]=>[6,7,8,5,4,1,2,3]
[1,3,8,7,4,6,2,5]=>[5,7,8,6,2,4,1,3]
[1,5,8,3,7,6,2,4]=>[2,7,8,4,6,5,1,3]
[5,1,6,8,7,4,2,3]=>[3,1,7,8,6,5,2,4]
[6,8,4,7,5,3,2,1]=>[1,8,3,7,6,5,4,2]
[6,8,7,2,5,4,3,1]=>[1,8,7,4,6,5,3,2]
[3,8,7,6,4,5,2,1]=>[5,8,7,6,1,4,3,2]
[2,8,7,6,5,3,4,1]=>[6,8,7,5,4,1,3,2]
[1,8,7,6,5,4,2,3]=>[7,8,6,5,4,3,1,2]
[5,8,6,7,3,4,1,2]=>[7,1,5,3,8,6,4,2]
[4,8,6,7,3,5,1,2]=>[7,5,1,3,8,6,4,2]
[3,8,6,7,4,5,1,2]=>[7,5,3,8,1,6,4,2]
[2,8,6,7,4,5,1,3]=>[7,5,3,8,6,1,4,2]
[1,8,6,7,4,5,2,3]=>[7,5,3,8,6,4,1,2]
[1,8,5,7,4,6,2,3]=>[3,7,5,8,6,4,1,2]
[3,8,5,7,4,6,1,2]=>[3,7,5,8,1,6,4,2]
[4,8,5,7,3,6,1,2]=>[3,7,1,5,8,6,4,2]
[7,8,3,6,4,5,1,2]=>[7,3,5,1,8,6,4,2]
[6,8,3,7,4,5,1,2]=>[7,3,1,5,8,6,4,2]
[5,8,3,7,4,6,1,2]=>[1,7,3,5,8,6,4,2]
[3,7,4,8,5,6,1,2]=>[7,3,5,1,2,8,6,4]
[4,7,3,8,5,6,1,2]=>[7,1,3,5,2,8,6,4]
[4,7,2,8,5,6,1,3]=>[7,1,5,8,3,2,6,4]
[4,7,1,8,5,6,2,3]=>[7,1,5,8,6,3,2,4]
[3,7,1,8,5,6,2,4]=>[7,5,8,1,6,3,2,4]
[3,7,2,8,5,6,1,4]=>[7,5,8,1,3,2,6,4]
[2,7,3,8,5,6,1,4]=>[7,5,8,3,1,2,6,4]
[2,7,4,8,5,6,1,3]=>[7,3,5,2,8,1,6,4]
[5,8,2,7,4,6,1,3]=>[1,7,5,8,3,6,4,2]
[6,8,2,7,4,5,1,3]=>[7,5,1,8,3,6,4,2]
[7,8,2,6,4,5,1,3]=>[7,5,8,3,1,6,4,2]
[7,8,1,6,4,5,2,3]=>[7,5,8,6,3,1,4,2]
[6,8,1,7,4,5,2,3]=>[7,5,1,8,6,3,4,2]
[5,8,1,7,4,6,2,3]=>[1,7,5,8,6,3,4,2]
[1,7,4,8,5,6,2,3]=>[7,3,5,2,8,6,1,4]
[1,7,3,8,5,6,2,4]=>[7,5,8,3,2,6,1,4]
[2,8,5,6,1,7,3,4]=>[7,3,8,5,1,4,6,2]
[1,8,5,6,2,7,3,4]=>[7,3,8,5,4,6,1,2]
[1,7,3,8,4,6,2,5]=>[5,7,8,3,2,6,1,4]
[4,8,1,7,3,6,2,5]=>[1,5,7,8,6,3,4,2]
[5,8,1,7,3,6,2,4]=>[5,1,7,8,6,3,4,2]
[6,8,1,7,3,5,2,4]=>[5,7,1,8,6,3,4,2]
[7,8,2,6,3,5,1,4]=>[5,7,8,3,1,6,4,2]
[6,8,2,7,3,5,1,4]=>[5,7,1,8,3,6,4,2]
[5,8,2,7,3,6,1,4]=>[5,1,7,8,3,6,4,2]
[4,8,2,7,3,6,1,5]=>[1,5,7,8,3,6,4,2]
[2,7,3,8,4,6,1,5]=>[5,7,8,3,1,2,6,4]
[3,7,2,8,4,6,1,5]=>[5,7,8,1,3,2,6,4]
[3,7,1,8,4,6,2,5]=>[5,7,8,1,6,3,2,4]
[1,8,4,7,3,6,2,5]=>[3,5,7,8,6,4,1,2]
[2,8,4,7,3,6,1,5]=>[3,5,7,8,6,1,4,2]
[3,8,4,7,2,6,1,5]=>[3,5,7,8,1,6,4,2]
[4,8,5,7,2,6,1,3]=>[5,1,3,7,8,6,4,2]
[3,8,5,7,2,6,1,4]=>[5,3,7,8,1,6,4,2]
[2,8,5,7,3,6,1,4]=>[5,3,7,8,6,1,4,2]
[1,8,5,7,3,6,2,4]=>[5,3,7,8,6,4,1,2]
[1,8,6,7,3,5,2,4]=>[5,7,3,8,6,4,1,2]
[2,8,6,7,3,5,1,4]=>[5,7,3,8,6,1,4,2]
[3,8,6,7,2,5,1,4]=>[5,7,3,8,1,6,4,2]
[4,8,6,7,2,5,1,3]=>[5,7,1,3,8,6,4,2]
[5,8,6,7,2,4,1,3]=>[1,5,7,3,8,6,4,2]
[6,8,5,7,1,4,2,3]=>[7,1,8,5,3,6,4,2]
[5,8,6,7,1,4,2,3]=>[1,7,8,5,3,6,4,2]
[4,8,6,7,1,5,2,3]=>[7,8,1,5,3,6,4,2]
[3,8,6,7,1,5,2,4]=>[7,8,5,1,3,6,4,2]
[1,5,2,8,6,7,3,4]=>[2,7,5,8,6,1,3,4]
[2,5,1,8,6,7,3,4]=>[2,7,5,8,1,6,3,4]
[2,6,1,8,5,7,3,4]=>[7,5,2,8,1,6,3,4]
[1,6,2,8,5,7,3,4]=>[7,5,2,8,6,1,3,4]
[3,8,5,7,1,6,2,4]=>[7,3,8,1,5,6,4,2]
[6,8,4,7,1,5,2,3]=>[7,3,1,8,5,6,4,2]
[7,8,4,6,1,5,2,3]=>[7,3,8,5,1,6,4,2]
[7,8,3,6,1,5,2,4]=>[3,7,8,5,1,6,4,2]
[6,8,3,7,1,5,2,4]=>[3,7,1,8,5,6,4,2]
[4,8,3,7,1,6,2,5]=>[1,3,7,8,5,6,4,2]
[3,8,4,7,1,6,2,5]=>[3,7,8,1,5,6,4,2]
[1,6,2,8,4,7,3,5]=>[5,7,2,8,6,1,3,4]
[2,6,1,8,4,7,3,5]=>[5,7,2,8,1,6,3,4]
[3,7,2,6,1,8,4,5]=>[7,8,1,3,5,4,2,6]
[3,7,1,6,2,8,4,5]=>[7,8,1,5,3,4,2,6]
[4,8,1,6,2,7,3,5]=>[1,7,8,5,3,4,6,2]
[5,8,1,6,2,7,3,4]=>[7,1,8,5,3,4,6,2]
[7,8,1,5,2,6,3,4]=>[7,8,5,3,4,1,6,2]
[7,8,2,5,1,6,3,4]=>[7,8,3,5,4,1,6,2]
[6,8,2,5,1,7,3,4]=>[7,8,3,1,5,4,6,2]
[5,8,2,6,1,7,3,4]=>[7,1,8,3,5,4,6,2]
[4,8,2,6,1,7,3,5]=>[1,7,8,3,5,4,6,2]
[1,7,3,6,2,8,4,5]=>[7,8,3,5,4,1,2,6]
[2,7,3,6,1,8,4,5]=>[7,8,3,5,1,4,2,6]
[6,7,4,8,3,5,1,2]=>[3,1,7,5,2,8,6,4]
[6,7,4,5,2,8,1,3]=>[5,3,1,7,4,2,8,6]
[5,7,4,6,2,3,1,8]=>[1,5,3,7,6,4,2,8]
[5,7,4,6,3,8,1,2]=>[1,3,7,5,4,2,8,6]
[5,7,4,8,3,6,1,2]=>[1,3,7,5,2,8,6,4]
[6,8,4,5,3,7,1,2]=>[3,1,7,5,4,8,6,2]
[5,8,4,6,3,7,1,2]=>[1,3,7,5,4,8,6,2]
[5,6,4,8,3,7,1,2]=>[1,3,2,7,5,8,6,4]
[5,6,3,7,2,4,1,8]=>[3,1,5,2,7,6,4,8]
[5,6,3,7,2,8,1,4]=>[3,1,5,2,7,4,8,6]
[5,6,3,8,2,7,1,4]=>[3,1,5,2,7,8,6,4]
[5,6,4,8,2,7,1,3]=>[1,5,3,2,7,8,6,4]
[5,8,4,6,2,7,1,3]=>[1,5,3,7,4,8,6,2]
[6,8,4,5,2,7,1,3]=>[5,3,1,7,4,8,6,2]
[7,8,4,5,2,6,1,3]=>[5,3,7,4,1,8,6,2]
[6,8,4,5,2,3,1,7]=>[5,3,1,7,6,4,8,2]
[5,8,4,6,2,3,1,7]=>[1,5,3,7,6,4,8,2]
[5,6,4,8,2,3,1,7]=>[1,5,3,2,7,6,8,4]
[5,6,3,8,2,4,1,7]=>[3,1,5,2,7,6,8,4]
[5,6,3,4,2,8,1,7]=>[3,1,5,4,2,7,8,6]
[4,6,3,5,2,7,1,8]=>[1,3,5,4,2,7,6,8]
[4,6,3,5,2,8,1,7]=>[1,3,5,4,2,7,8,6]
[4,6,3,8,2,5,1,7]=>[1,3,5,2,7,6,8,4]
[4,8,3,6,2,5,1,7]=>[1,3,5,7,6,4,8,2]
[5,8,3,6,2,4,1,7]=>[3,1,5,7,6,4,8,2]
[6,8,3,5,2,4,1,7]=>[3,5,1,7,6,4,8,2]
[7,8,3,5,2,4,1,6]=>[3,5,7,6,4,1,8,2]
[7,8,3,5,2,6,1,4]=>[3,5,7,4,1,8,6,2]
[5,8,3,6,2,7,1,4]=>[3,1,5,7,4,8,6,2]
[4,8,3,6,2,7,1,5]=>[1,3,5,7,4,8,6,2]
[4,6,3,8,2,7,1,5]=>[1,3,5,2,7,8,6,4]
[4,6,3,7,2,8,1,5]=>[1,3,5,2,7,4,8,6]
[4,7,3,6,2,5,1,8]=>[1,3,5,7,6,4,2,8]
[4,7,3,6,2,8,1,5]=>[1,3,5,7,4,2,8,6]
[4,7,3,8,2,6,1,5]=>[1,3,5,7,2,8,6,4]
[5,7,4,8,2,6,1,3]=>[1,5,3,7,2,8,6,4]
[5,7,3,6,2,8,1,4]=>[3,1,5,7,4,2,8,6]
[5,7,3,6,2,4,1,8]=>[3,1,5,7,6,4,2,8]
[6,7,3,5,2,4,1,8]=>[3,5,1,7,6,4,2,8]
[6,7,3,5,2,8,1,4]=>[3,5,1,7,4,2,8,6]
[6,7,4,8,2,5,1,3]=>[5,3,1,7,2,8,6,4]
[6,7,5,8,2,4,1,3]=>[5,1,7,3,2,8,6,4]
[6,8,5,7,2,3,1,4]=>[5,1,7,6,3,8,4,2]
[6,7,4,8,2,3,1,5]=>[5,3,1,7,6,2,8,4]
[6,7,3,8,2,4,1,5]=>[3,5,1,7,6,2,8,4]
[6,7,3,4,2,8,1,5]=>[3,5,4,1,7,2,8,6]
[5,7,3,4,2,6,1,8]=>[3,1,5,4,7,6,2,8]
[5,7,3,4,2,8,1,6]=>[3,1,5,4,7,2,8,6]
[5,7,4,8,2,3,1,6]=>[1,5,3,7,6,2,8,4]
[5,8,4,7,2,3,1,6]=>[1,5,3,7,6,8,4,2]
[6,8,4,7,2,3,1,5]=>[5,3,1,7,6,8,4,2]
[7,8,4,6,2,3,1,5]=>[5,3,7,6,1,8,4,2]
[7,8,3,6,2,4,1,5]=>[3,5,7,6,1,8,4,2]
[6,8,3,7,2,4,1,5]=>[3,5,1,7,6,8,4,2]
[5,8,3,7,2,4,1,6]=>[3,1,5,7,6,8,4,2]
[4,8,3,7,2,5,1,6]=>[1,3,5,7,6,8,4,2]
[4,7,3,8,2,5,1,6]=>[1,3,5,7,6,2,8,4]
[4,7,3,5,2,8,1,6]=>[1,3,5,4,7,2,8,6]
[4,7,3,5,2,6,1,8]=>[1,3,5,4,7,6,2,8]
[4,5,3,7,2,6,1,8]=>[1,3,2,5,7,6,4,8]
[4,5,3,7,2,8,1,6]=>[1,3,2,5,7,4,8,6]
[4,5,3,8,2,7,1,6]=>[1,3,2,5,7,8,6,4]
[4,8,3,5,2,7,1,6]=>[1,3,5,4,7,8,6,2]
[5,8,3,4,2,7,1,6]=>[3,1,5,4,7,8,6,2]
[6,8,3,4,2,7,1,5]=>[3,5,4,1,7,8,6,2]
[7,8,3,4,2,6,1,5]=>[3,5,4,7,1,8,6,2]
[6,8,3,4,2,5,1,7]=>[3,5,4,1,7,6,8,2]
[5,8,3,4,2,6,1,7]=>[3,1,5,4,7,6,8,2]
[4,8,3,5,2,6,1,7]=>[1,3,5,4,7,6,8,2]
[4,5,3,8,2,6,1,7]=>[1,3,2,5,7,6,8,4]
[4,5,3,6,2,8,1,7]=>[1,3,2,5,4,7,8,6]
[4,7,5,2,1,8,3,6]=>[1,4,7,3,8,5,2,6]
[4,8,5,2,1,7,6,3]=>[8,1,4,3,7,5,6,2]
[4,6,5,2,1,3,8,7]=>[1,4,8,5,3,2,6,7]
[5,6,4,2,3,1,8,7]=>[4,1,5,3,2,8,6,7]
[6,4,5,3,1,2,8,7]=>[2,8,5,4,3,1,6,7]
[5,4,6,1,3,2,8,7]=>[5,2,1,8,4,3,6,7]
[4,6,8,1,7,3,2,5]=>[7,1,6,2,8,4,5,3]
[4,7,8,1,6,3,5,2]=>[6,8,1,7,4,2,5,3]
[7,4,8,1,6,5,3,2]=>[8,2,7,6,4,1,5,3]
[5,4,8,1,3,7,6,2]=>[2,1,8,5,7,4,6,3]
[8,4,5,3,1,7,6,2]=>[2,4,3,8,7,5,6,1]
[5,4,7,1,3,8,2,6]=>[5,2,1,7,8,4,3,6]
[6,4,8,1,7,5,2,3]=>[2,7,1,8,6,4,5,3]
[5,6,8,7,2,1,3,4]=>[1,6,5,2,7,8,4,3]
[8,5,7,6,4,2,1,3]=>[2,7,6,8,5,4,3,1]
[8,4,6,3,7,2,1,5]=>[2,4,7,6,3,8,5,1]
[6,3,2,8,7,4,1,5]=>[7,2,6,1,8,3,5,4]
[2,1,6,8,7,4,3,5]=>[3,7,6,8,1,5,2,4]
[2,1,7,8,6,4,5,3]=>[6,3,8,7,1,5,2,4]
[7,3,2,8,6,4,5,1]=>[6,8,2,7,3,1,5,4]
[7,6,8,5,2,4,3,1]=>[8,5,2,1,7,6,4,3]
[5,7,8,6,2,3,1,4]=>[1,5,7,6,2,8,4,3]
[5,8,7,6,3,2,1,4]=>[7,1,6,5,8,4,3,2]
[6,8,7,5,3,2,4,1]=>[1,6,5,8,7,4,3,2]
[5,8,4,2,3,7,6,1]=>[1,8,4,3,5,7,6,2]
[7,8,4,2,6,5,3,1]=>[3,8,7,4,1,6,5,2]
[4,8,7,2,6,3,5,1]=>[6,8,1,4,7,5,3,2]
[4,8,6,2,7,3,1,5]=>[7,1,4,6,3,8,5,2]
[3,6,1,8,7,4,2,5]=>[7,6,1,2,8,5,3,4]
[3,7,1,8,6,4,5,2]=>[6,8,7,1,5,3,2,4]
[3,8,1,6,7,5,2,4]=>[7,4,8,1,6,3,5,2]
[3,7,1,6,8,2,5,4]=>[8,6,1,4,7,3,2,5]
[4,7,6,2,8,1,3,5]=>[1,4,6,7,3,2,8,5]
[6,7,4,2,8,1,5,3]=>[8,4,3,1,6,2,7,5]
[6,8,4,2,7,5,1,3]=>[7,3,1,8,4,6,5,2]
[2,1,8,6,7,5,3,4]=>[7,4,8,6,1,5,2,3]
[8,3,2,6,7,5,1,4]=>[7,2,4,8,3,6,5,1]
[8,6,4,3,7,5,1,2]=>[4,3,7,2,8,6,5,1]
[5,8,6,7,3,1,2,4]=>[1,6,7,5,3,8,4,2]
[6,7,5,8,1,3,4,2]=>[6,1,8,5,3,2,7,4]
[7,6,5,8,1,4,3,2]=>[8,7,5,3,2,1,6,4]
[8,6,5,7,4,1,3,2]=>[8,6,3,2,7,5,4,1]
[7,6,4,3,8,1,5,2]=>[4,3,8,6,2,1,7,5]
[7,3,2,6,8,1,5,4]=>[8,2,6,3,4,1,7,5]
[2,1,7,6,8,3,5,4]=>[8,6,4,1,3,7,2,5]
[7,5,6,8,1,4,2,3]=>[7,2,8,5,3,1,6,4]
[6,5,7,8,1,2,4,3]=>[8,5,2,1,6,3,7,4]
[8,1,3,7,4,6,5,2]=>[8,5,7,3,6,2,4,1]
[5,2,8,7,4,6,1,3]=>[1,7,5,8,6,2,4,3]
[1,6,2,5,4,7,3,8]=>[5,4,7,3,1,2,6,8]
[6,2,7,5,4,8,3,1]=>[5,4,3,1,8,2,7,6]
[8,1,3,5,4,7,6,2]=>[4,8,3,5,7,2,6,1]
[6,1,5,4,3,8,7,2]=>[4,3,8,5,1,7,2,6]
[6,1,8,3,4,5,7,2]=>[4,5,6,1,8,7,2,3]
[7,1,5,3,4,8,6,2]=>[8,4,3,5,7,2,1,6]
[7,1,4,3,5,6,8,2]=>[4,3,5,6,8,2,1,7]
[8,1,3,4,5,6,7,2]=>[3,4,5,6,8,2,7,1]
[1,7,2,4,5,6,3,8]=>[4,5,7,3,6,1,2,8]
[6,3,2,7,5,1,8,4]=>[8,2,6,3,1,5,4,7]
[8,4,7,2,5,6,1,3]=>[2,7,4,5,8,6,3,1]
[6,5,8,2,4,7,3,1]=>[5,2,1,8,4,7,6,3]
[8,5,2,1,4,3,7,6]=>[3,5,8,4,2,6,7,1]
[6,5,2,8,4,1,3,7]=>[6,7,3,2,1,5,8,4]
[5,6,2,1,4,8,3,7]=>[3,5,1,7,2,8,4,6]
[3,6,1,8,5,2,4,7]=>[6,7,1,5,2,8,3,4]
[1,2,6,3,5,4,7,8]=>[6,4,5,1,2,3,7,8]
[3,4,1,2,8,6,5,7]=>[1,2,7,6,8,3,4,5]
[4,3,1,2,6,8,5,7]=>[5,2,1,7,8,3,4,6]
[5,8,1,6,3,2,4,7]=>[6,5,1,7,3,4,8,2]
[6,3,8,5,2,1,4,7]=>[6,2,5,1,7,4,8,3]
[8,3,1,5,2,4,7,6]=>[2,8,5,3,4,6,7,1]
[3,8,2,6,1,5,7,4]=>[6,8,1,3,5,4,7,2]
[3,8,6,7,2,1,5,4]=>[5,8,6,1,3,7,4,2]
[8,5,6,4,2,1,7,3]=>[5,2,8,6,4,3,7,1]
[7,2,5,8,3,1,6,4]=>[5,3,8,2,6,1,7,4]
[1,7,5,6,3,2,4,8]=>[6,5,3,7,4,1,2,8]
[6,1,2,3,8,5,7,4]=>[6,8,7,2,3,1,4,5]
[7,1,2,3,6,5,8,4]=>[6,5,8,2,3,4,1,7]
[7,2,1,3,8,6,4,5]=>[7,8,2,6,3,4,1,5]
[1,5,7,3,2,4,6,8]=>[5,4,2,6,7,1,3,8]
[5,2,7,3,1,8,4,6]=>[4,7,1,8,2,5,3,6]
[5,8,2,4,1,3,7,6]=>[8,3,1,5,4,6,7,2]
[8,7,2,6,3,4,1,5]=>[5,7,3,6,8,4,2,1]
[4,8,1,6,3,2,7,5]=>[1,5,8,6,3,4,7,2]
[3,1,8,6,4,2,7,5]=>[5,8,1,6,4,7,2,3]
[8,1,6,7,4,3,2,5]=>[7,6,5,3,8,2,4,1]
[3,5,8,7,2,4,1,6]=>[2,5,7,1,6,8,4,3]
[4,2,1,3,7,8,5,6]=>[7,2,1,5,8,3,4,6]
[2,4,1,3,8,7,5,6]=>[2,7,8,1,6,3,4,5]
[2,5,8,3,1,7,4,6]=>[4,2,7,8,1,5,6,3]
[8,6,1,3,7,2,4,5]=>[4,6,7,8,3,2,5,1]
[2,8,1,3,6,4,7,5]=>[8,6,1,3,4,5,7,2]
[6,8,2,3,4,1,5,7]=>[3,4,6,5,1,7,8,2]
[5,1,8,3,2,4,6,7]=>[5,4,6,1,7,8,2,3]
[1,4,2,7,8,6,3,5]=>[7,2,4,8,6,1,3,5]
[1,6,2,4,8,5,3,7]=>[7,4,6,2,8,1,3,5]
[1,6,2,4,7,5,3,8]=>[7,4,6,3,1,2,5,8]
[1,7,3,8,5,2,4,6]=>[6,7,3,5,2,8,1,4]
[1,7,3,2,8,6,4,5]=>[7,8,3,6,4,1,2,5]
[4,2,5,7,8,6,1,3]=>[1,7,3,4,8,2,6,5]
[7,2,3,1,8,5,6,4]=>[6,8,2,3,7,4,1,5]
[8,2,5,1,7,3,4,6]=>[6,7,2,3,8,4,5,1]
[6,2,1,8,3,4,7,5]=>[8,2,5,6,1,7,3,4]
[6,2,8,3,5,1,7,4]=>[8,4,6,2,1,5,7,3]
[6,2,4,8,5,7,1,3]=>[7,3,5,1,8,2,6,4]
[1,3,6,4,8,5,7,2]=>[6,3,8,2,4,7,1,5]
[1,3,6,4,7,5,8,2]=>[6,4,2,3,5,8,1,7]
[6,2,4,7,5,8,1,3]=>[7,3,5,2,1,4,8,6]
[6,2,1,3,7,8,4,5]=>[7,2,5,8,3,1,4,6]
[7,8,2,1,4,3,5,6]=>[3,6,4,5,7,1,8,2]
[7,6,4,2,3,1,8,5]=>[4,5,3,8,6,2,1,7]
[5,7,2,3,1,6,8,4]=>[3,4,1,6,8,5,2,7]
[7,5,4,2,6,8,1,3]=>[7,4,3,2,5,1,8,6]
[1,7,5,3,4,6,8,2]=>[4,5,3,6,2,8,1,7]
[8,2,5,4,6,7,1,3]=>[4,3,7,2,5,8,6,1]
[5,2,6,3,1,8,7,4]=>[8,4,2,1,3,7,5,6]
[8,2,6,4,3,1,7,5]=>[5,4,8,2,6,3,7,1]
[8,2,7,4,1,3,5,6]=>[5,6,2,4,7,8,3,1]
[1,2,8,4,3,5,6,7]=>[5,4,6,7,8,1,2,3]
[1,7,4,2,3,5,6,8]=>[4,5,3,6,7,1,2,8]
[6,8,4,1,3,2,5,7]=>[6,4,5,3,1,7,8,2]
[1,8,7,4,3,2,5,6]=>[6,5,4,7,8,3,1,2]
[1,6,3,8,2,4,7,5]=>[8,3,5,2,6,7,1,4]
[5,3,8,1,2,7,4,6]=>[2,7,1,8,4,5,6,3]
[5,1,8,3,2,6,4,7]=>[4,7,5,1,6,8,2,3]
[5,7,3,1,2,6,4,8]=>[7,4,3,1,5,6,2,8]
[1,7,5,4,2,6,3,8]=>[7,5,4,3,6,1,2,8]
[1,5,8,2,4,6,3,7]=>[5,2,7,4,6,8,1,3]
[1,5,8,4,2,7,3,6]=>[2,7,4,8,5,6,1,3]
[1,4,6,2,8,3,7,5]=>[8,2,6,3,7,1,4,5]
[5,3,1,6,7,2,4,8]=>[2,6,4,1,7,3,5,8]
[5,3,6,1,2,8,4,7]=>[2,7,1,8,4,3,5,6]
[1,6,3,2,7,8,4,5]=>[7,3,5,2,8,1,4,6]
[1,7,4,5,3,8,6,2]=>[3,4,8,5,2,7,1,6]
[6,3,4,1,2,5,8,7]=>[2,8,4,3,5,1,6,7]
[6,3,1,4,2,7,5,8]=>[4,2,7,3,5,1,6,8]
[1,8,3,2,4,5,6,7]=>[4,3,5,6,7,8,1,2]
[8,6,3,2,4,1,7,5]=>[4,3,5,8,6,2,7,1]
[8,5,3,2,6,7,1,4]=>[3,7,4,2,5,8,6,1]
[4,5,2,6,8,1,7,3]=>[1,4,2,8,3,6,7,5]
[4,2,5,6,7,8,1,3]=>[3,1,4,7,2,5,8,6]
[5,2,3,6,7,1,8,4]=>[4,8,2,1,3,6,5,7]
[6,2,3,4,1,7,8,5]=>[2,3,4,6,1,8,5,7]
[7,2,3,1,4,5,8,6]=>[2,3,8,4,5,6,1,7]
[8,6,1,4,3,2,5,7]=>[6,5,3,4,7,2,8,1]
[8,3,1,6,5,2,4,7]=>[2,6,7,5,3,4,8,1]
[3,7,5,1,8,2,4,6]=>[6,7,1,3,8,4,2,5]
[4,1,5,2,8,7,3,6]=>[3,1,7,8,6,2,4,5]
[8,1,2,4,6,5,3,7]=>[7,4,6,2,3,5,8,1]
[8,1,2,5,4,6,3,7]=>[5,4,7,2,3,6,8,1]
[8,2,6,5,1,3,4,7]=>[5,6,7,2,4,3,8,1]
[8,3,1,6,2,5,4,7]=>[2,7,5,6,3,4,8,1]
[8,1,2,6,4,5,3,7]=>[5,7,6,2,3,4,8,1]
[8,1,2,5,6,4,3,7]=>[4,7,6,2,3,5,8,1]
[8,1,2,6,5,4,3,7]=>[7,6,5,2,3,4,8,1]
[1,7,5,4,2,8,3,6]=>[7,4,3,8,5,1,2,6]
[5,1,4,8,2,7,3,6]=>[3,7,1,8,5,6,2,4]
[1,4,6,8,2,7,3,5]=>[7,2,3,8,5,6,1,4]
[1,4,7,6,2,8,3,5]=>[7,8,2,5,4,1,3,6]
[5,1,4,7,2,8,3,6]=>[3,7,1,8,5,2,4,6]
[1,7,4,5,2,8,3,6]=>[3,7,4,8,5,1,2,6]
[3,7,5,1,2,8,4,6]=>[7,8,1,4,3,5,2,6]
[5,7,2,8,1,3,4,6]=>[3,5,1,6,7,2,8,4]
[5,2,8,7,1,3,4,6]=>[5,6,1,7,8,2,4,3]
[4,1,5,8,2,7,3,6]=>[3,1,7,8,5,6,2,4]
[1,4,6,2,8,7,3,5]=>[7,2,3,8,6,1,4,5]
[1,4,2,8,6,7,3,5]=>[7,2,5,8,6,1,3,4]
[3,1,2,6,4,8,7,5]=>[1,4,8,7,2,3,5,6]
[2,1,7,6,3,4,8,5]=>[8,5,6,1,4,2,3,7]
[3,1,2,7,4,6,8,5]=>[1,6,8,5,2,3,4,7]
[1,4,7,2,6,8,3,5]=>[7,2,5,8,4,1,3,6]
[1,2,3,6,8,5,7,4]=>[4,6,8,7,1,2,3,5]
[5,1,4,2,7,8,3,6]=>[3,7,5,1,8,2,4,6]
[1,4,2,7,6,8,3,5]=>[7,2,5,4,8,1,3,6]
[1,4,2,6,8,7,3,5]=>[2,4,7,8,6,1,3,5]
[3,1,2,8,4,6,7,5]=>[1,6,8,5,7,2,3,4]
[3,1,2,7,6,4,8,5]=>[8,1,6,5,2,3,4,7]
[5,3,7,1,8,2,4,6]=>[2,6,1,7,8,4,3,5]
[1,7,4,3,2,5,8,6]=>[4,3,8,5,6,1,2,7]
[4,8,7,2,1,3,5,6]=>[1,5,4,6,7,8,3,2]
[1,8,7,3,4,2,5,6]=>[4,6,5,7,8,3,1,2]
[3,1,7,8,2,6,4,5]=>[7,8,1,5,3,6,2,4]
[1,4,2,7,8,3,6,5]=>[8,2,6,4,7,1,3,5]
[5,2,8,1,3,4,7,6]=>[8,2,4,1,5,6,7,3]
[2,1,8,6,3,4,7,5]=>[8,5,6,1,4,7,2,3]
[1,4,2,6,8,3,7,5]=>[2,4,8,6,7,1,3,5]
[1,2,3,7,8,5,6,4]=>[6,4,8,7,1,2,3,5]
[1,2,3,7,5,8,6,4]=>[8,5,4,7,1,2,3,6]
[1,4,2,7,3,8,6,5]=>[8,2,7,5,1,3,4,6]
[3,1,7,2,8,6,4,5]=>[7,8,1,6,4,2,3,5]
[2,1,7,8,3,4,6,5]=>[8,5,6,1,3,7,2,4]
[1,2,3,8,7,5,6,4]=>[6,8,7,5,1,2,3,4]
[4,7,8,5,6,2,1,3]=>[7,6,1,4,2,8,5,3]
[5,7,8,4,2,6,1,3]=>[1,5,7,4,2,8,6,3]
[6,7,8,4,2,5,1,3]=>[5,1,7,4,2,8,6,3]
[8,6,3,7,2,1,5,4]=>[3,5,8,6,2,7,4,1]
[7,6,3,8,2,1,5,4]=>[3,5,8,6,2,1,7,4]
[6,7,8,3,2,1,5,4]=>[5,4,1,8,6,2,7,3]
[5,7,8,3,2,1,6,4]=>[1,5,4,8,6,2,7,3]
[2,7,8,4,3,5,6,1]=>[5,4,6,2,8,1,7,3]
[3,7,8,4,2,5,1,6]=>[5,4,7,1,6,2,8,3]
[4,7,8,3,2,1,5,6]=>[6,1,5,4,7,2,8,3]
[5,7,8,3,2,1,4,6]=>[1,6,5,4,7,2,8,3]
[7,6,3,8,2,1,4,5]=>[3,6,5,7,2,1,8,4]
[8,6,3,7,2,1,4,5]=>[3,6,5,7,2,8,4,1]
[5,6,3,8,2,1,4,7]=>[3,1,6,5,2,7,8,4]
[3,6,4,8,2,5,1,7]=>[3,5,1,2,7,6,8,4]
[2,6,4,8,3,5,7,1]=>[3,5,2,6,8,1,7,4]
[2,6,4,7,3,5,8,1]=>[3,5,2,6,1,4,8,7]
[3,6,4,7,2,5,1,8]=>[3,5,1,2,7,6,4,8]
[4,6,3,7,2,1,5,8]=>[1,3,6,5,2,7,4,8]
[5,6,3,7,2,1,4,8]=>[3,1,6,5,2,7,4,8]
[8,4,3,2,1,6,5,7]=>[4,3,2,7,5,6,8,1]
[6,4,3,2,1,7,5,8]=>[4,3,2,7,5,1,6,8]
[4,5,3,2,7,1,6,8]=>[1,4,3,2,6,7,5,8]
[3,5,4,2,8,6,1,7]=>[3,1,2,7,4,6,8,5]
[6,4,3,2,1,8,5,7]=>[4,3,2,7,1,8,5,6]
[7,4,3,2,1,8,5,6]=>[4,3,2,7,8,5,1,6]
[8,4,3,2,1,7,5,6]=>[4,3,2,7,8,5,6,1]
[8,4,3,2,1,7,6,5]=>[3,2,8,4,7,5,6,1]
[7,4,3,2,1,8,6,5]=>[3,2,8,4,7,5,1,6]
[6,4,3,2,1,8,7,5]=>[3,2,8,4,1,7,5,6]
[5,6,3,8,2,1,7,4]=>[3,1,5,2,8,6,7,4]
[7,5,3,2,8,1,6,4]=>[3,8,4,2,6,1,7,5]
[8,5,4,2,7,6,1,3]=>[7,3,2,8,4,6,5,1]
[7,5,4,2,8,6,1,3]=>[7,3,2,8,4,1,6,5]
[6,5,4,2,8,7,1,3]=>[7,3,2,1,8,4,6,5]
[4,6,5,8,7,2,1,3]=>[3,1,2,7,6,8,5,4]
[2,6,5,7,8,3,4,1]=>[3,2,6,4,8,1,7,5]
[6,5,4,2,7,8,1,3]=>[7,4,3,2,1,5,8,6]
[8,5,4,2,6,7,1,3]=>[7,4,3,2,5,8,6,1]
[8,5,3,2,6,1,7,4]=>[3,8,4,2,6,5,7,1]
[7,5,3,2,6,1,8,4]=>[3,8,4,2,6,5,1,7]
[5,6,3,7,2,1,8,4]=>[3,1,5,2,8,6,4,7]
[4,6,3,7,2,1,8,5]=>[1,3,5,2,8,6,4,7]
[3,6,4,7,2,8,1,5]=>[3,5,1,2,7,4,8,6]
[2,6,4,7,3,8,5,1]=>[8,3,2,5,1,4,7,6]
[3,5,4,2,7,8,1,6]=>[3,1,2,7,4,5,8,6]
[4,5,3,2,7,1,8,6]=>[1,3,2,8,4,6,5,7]
[7,4,3,2,1,6,8,5]=>[4,3,2,6,8,5,1,7]
[8,4,3,2,1,6,7,5]=>[4,3,2,6,8,5,7,1]
[8,4,3,2,1,5,7,6]=>[4,3,2,8,5,6,7,1]
[7,4,3,2,1,5,8,6]=>[4,3,2,8,5,6,1,7]
[6,4,3,2,1,5,8,7]=>[4,3,2,8,5,1,6,7]
[3,5,4,2,6,8,1,7]=>[4,1,3,2,5,7,8,6]
[5,6,3,4,1,2,8,7]=>[3,1,8,5,4,2,6,7]
[8,5,3,7,2,6,4,1]=>[8,3,2,5,7,6,4,1]
[8,5,7,4,2,6,3,1]=>[2,8,5,4,7,6,3,1]
[7,5,8,4,2,6,1,3]=>[5,2,7,4,1,8,6,3]
[2,1,7,8,5,6,3,4]=>[7,5,3,8,1,6,2,4]
[6,8,3,7,5,1,4,2]=>[8,3,1,6,7,5,4,2]
[5,7,3,8,1,6,2,4]=>[3,1,7,8,5,2,6,4]
[3,2,6,4,8,5,1,7]=>[7,1,4,2,3,6,8,5]
[3,2,5,8,4,6,1,7]=>[1,3,5,7,2,6,8,4]
[3,5,2,4,1,7,6,8]=>[1,3,4,2,7,5,6,8]
[4,2,1,5,7,3,6,8]=>[2,4,1,6,7,3,5,8]
[4,5,2,3,7,1,6,8]=>[3,1,4,2,6,7,5,8]
[4,2,5,3,8,1,6,7]=>[4,2,1,3,6,7,8,5]
[4,2,5,8,3,1,6,7]=>[3,1,6,2,5,7,8,4]
[3,1,5,4,2,8,6,7]=>[1,4,3,7,8,2,5,6]
[4,1,5,3,8,2,6,7]=>[4,3,1,6,7,8,2,5]
[4,1,5,8,3,2,6,7]=>[3,1,6,5,7,8,2,4]
[4,3,8,5,2,1,6,7]=>[1,6,2,5,4,7,8,3]
[4,7,3,5,2,1,6,8]=>[1,3,6,5,4,7,2,8]
[4,3,2,7,5,1,6,8]=>[2,1,6,3,5,7,4,8]
[4,3,6,2,5,1,7,8]=>[2,1,4,6,5,3,7,8]
[4,6,3,2,5,1,7,8]=>[1,4,3,6,5,2,7,8]
[4,6,7,1,3,2,5,8]=>[1,6,4,5,2,7,3,8]
[4,5,1,7,3,2,6,8]=>[1,6,5,2,7,3,4,8]
[4,5,1,3,7,2,6,8]=>[4,1,6,2,7,3,5,8]
[3,5,1,4,2,7,6,8]=>[1,4,7,3,2,5,6,8]
[2,5,1,4,3,7,8,6]=>[4,6,1,2,8,3,5,7]
[5,2,1,4,3,7,8,6]=>[2,4,6,1,8,3,5,7]
[5,3,1,4,2,7,6,8]=>[4,2,7,3,1,5,6,8]
[4,3,1,5,7,2,6,8]=>[4,2,1,6,7,3,5,8]
[4,3,1,7,5,2,6,8]=>[2,1,6,5,7,3,4,8]
[4,3,6,1,5,2,7,8]=>[2,1,6,4,5,3,7,8]
[4,6,3,1,5,2,7,8]=>[1,6,4,3,5,2,7,8]
[5,3,6,4,1,2,7,8]=>[2,5,1,6,4,3,7,8]
[4,3,6,1,7,2,5,8]=>[2,1,6,7,4,3,5,8]
[6,3,4,1,2,7,5,8]=>[2,7,4,3,5,1,6,8]
[6,2,4,1,3,7,8,5]=>[6,2,3,8,4,1,5,7]
[3,6,4,1,2,7,5,8]=>[7,1,4,3,5,2,6,8]
[4,6,3,1,7,2,5,8]=>[1,6,3,7,4,2,5,8]
[5,3,6,2,1,4,7,8]=>[2,5,4,1,6,3,7,8]
[5,6,2,7,1,3,4,8]=>[3,5,1,6,2,7,4,8]
[4,5,2,7,3,1,6,8]=>[1,6,3,2,5,7,4,8]
[4,6,7,2,3,1,5,8]=>[1,4,6,5,2,7,3,8]
[4,6,2,1,7,3,5,8]=>[3,1,6,7,4,2,5,8]
[3,2,6,1,4,7,5,8]=>[1,7,2,4,5,3,6,8]
[3,6,2,1,4,7,5,8]=>[1,3,7,4,5,2,6,8]
[3,6,7,2,4,5,1,8]=>[4,5,1,2,7,6,3,8]
[3,5,2,7,4,6,1,8]=>[5,1,2,7,3,6,4,8]
[3,7,2,4,8,5,1,6]=>[7,1,3,4,6,2,8,5]
[7,2,1,4,6,3,8,5]=>[8,2,4,6,3,5,1,7]
[7,3,1,4,6,8,2,5]=>[2,7,4,5,8,3,1,6]
[3,2,6,1,5,7,4,8]=>[1,5,7,2,4,3,6,8]
[3,6,2,1,5,7,4,8]=>[1,3,5,7,4,2,6,8]
[6,3,2,1,5,7,4,8]=>[3,2,5,7,4,1,6,8]
[6,4,2,1,5,3,7,8]=>[3,6,4,2,5,1,7,8]
[4,2,6,1,5,3,7,8]=>[6,2,1,4,5,3,7,8]
[4,2,1,7,5,3,6,8]=>[6,2,1,5,7,3,4,8]
[7,4,1,5,6,2,3,8]=>[6,4,2,7,3,5,1,8]
[7,3,1,5,2,6,4,8]=>[2,7,5,3,4,6,1,8]
[7,2,1,5,3,6,8,4]=>[6,2,4,8,3,5,1,7]
[6,2,5,1,3,7,8,4]=>[6,8,2,4,3,1,5,7]
[6,3,5,1,2,7,4,8]=>[2,7,4,5,3,1,6,8]
[6,4,5,1,7,2,3,8]=>[6,2,7,4,3,1,5,8]
[5,2,6,4,1,3,7,8]=>[5,6,2,1,4,3,7,8]
[4,6,5,1,7,2,3,8]=>[1,6,7,4,3,2,5,8]
[3,6,5,1,2,7,4,8]=>[7,1,4,5,3,2,6,8]
[6,5,2,1,4,7,8,3]=>[3,5,6,2,1,8,4,7]
[6,5,3,1,4,7,2,8]=>[5,3,7,4,2,1,6,8]
[2,3,1,8,5,4,7,6]=>[5,8,1,2,6,7,3,4]
[2,4,1,5,8,3,7,6]=>[2,8,1,4,6,7,3,5]
[2,4,1,5,3,8,7,6]=>[2,8,1,4,7,3,5,6]
[3,4,5,1,2,8,7,6]=>[1,2,3,8,7,4,5,6]
[3,4,5,1,8,2,7,6]=>[1,2,3,8,6,7,4,5]
[1,8,4,5,3,2,7,6]=>[3,5,4,8,6,7,1,2]
[2,4,8,5,3,1,7,6]=>[5,2,4,8,1,6,7,3]
[3,4,5,8,2,1,7,6]=>[1,2,3,5,8,6,7,4]
[3,4,5,2,8,1,7,6]=>[1,2,3,8,4,6,7,5]
[3,4,6,2,1,7,8,5]=>[1,2,4,6,3,8,5,7]
[3,4,6,2,1,7,5,8]=>[1,2,4,7,5,3,6,8]
[3,5,6,2,7,1,4,8]=>[4,1,2,6,3,7,5,8]
[3,5,6,2,7,1,8,4]=>[2,8,1,4,3,6,5,7]
[3,5,6,2,7,8,1,4]=>[2,7,1,4,3,5,8,6]
[3,4,6,2,8,7,1,5]=>[7,1,2,3,8,4,6,5]
[3,4,6,8,2,7,1,5]=>[5,1,2,3,7,8,6,4]
[2,4,8,6,3,7,1,5]=>[5,7,2,4,8,1,6,3]
[1,8,4,6,3,7,2,5]=>[3,5,7,4,8,6,1,2]
[1,8,4,6,3,7,5,2]=>[8,3,5,4,7,6,1,2]
[3,4,6,8,2,7,5,1]=>[3,8,1,2,5,7,6,4]
[3,4,6,2,8,7,5,1]=>[3,8,1,2,7,4,6,5]
[3,5,6,2,7,8,4,1]=>[2,5,1,3,8,4,7,6]
[3,5,6,2,7,4,1,8]=>[2,7,1,4,3,6,5,8]
[4,5,6,7,2,8,3,1]=>[1,2,3,8,5,4,7,6]
[3,5,6,8,7,2,4,1]=>[2,3,6,8,1,7,5,4]
[2,5,8,6,7,3,4,1]=>[6,2,4,8,7,1,5,3]
[1,8,5,6,7,3,4,2]=>[3,6,4,8,7,5,1,2]
[1,8,5,6,7,3,2,4]=>[3,7,6,4,8,5,1,2]
[2,5,8,6,7,3,1,4]=>[7,2,6,4,8,1,5,3]
[3,5,6,8,7,2,1,4]=>[2,3,7,1,6,8,5,4]
[4,5,6,7,2,1,8,3]=>[1,2,5,3,8,6,4,7]
[3,4,6,1,8,7,2,5]=>[7,1,2,3,8,6,4,5]
[2,4,1,6,8,7,3,5]=>[2,4,7,8,1,6,3,5]
[2,3,1,8,6,7,4,5]=>[7,5,8,1,2,6,3,4]
[1,8,3,2,6,7,5,4]=>[5,8,3,7,4,6,1,2]
[2,5,1,6,7,8,4,3]=>[4,2,5,8,1,7,3,6]
[2,5,1,6,7,4,8,3]=>[4,2,6,1,5,8,3,7]
[2,5,1,6,7,4,3,8]=>[4,2,7,1,6,3,5,8]
[3,5,6,1,7,4,2,8]=>[2,7,1,6,4,3,5,8]
[3,5,6,1,7,4,8,2]=>[2,6,1,5,3,8,4,7]
[3,4,6,1,8,7,5,2]=>[3,8,1,2,7,6,4,5]
[3,4,6,8,1,7,5,2]=>[3,8,1,2,7,5,6,4]
[2,4,8,6,1,7,5,3]=>[8,7,2,5,1,4,6,3]
[1,8,4,6,2,7,5,3]=>[8,3,7,5,4,6,1,2]
[1,8,5,6,7,2,4,3]=>[3,8,6,4,7,5,1,2]
[2,5,8,6,7,1,4,3]=>[8,2,6,4,7,1,5,3]
[3,5,6,8,7,1,4,2]=>[2,3,8,1,6,7,5,4]
[4,5,6,7,8,1,3,2]=>[1,2,3,8,6,4,7,5]
[4,5,6,7,1,3,8,2]=>[1,2,6,3,8,5,4,7]
[4,5,6,7,1,3,2,8]=>[1,2,7,5,3,6,4,8]
[4,5,6,7,3,1,8,2]=>[1,2,3,8,6,5,4,7]
[3,5,6,8,7,4,1,2]=>[2,3,7,8,1,6,5,4]
[2,5,8,6,7,4,1,3]=>[7,2,4,8,6,1,5,3]
[1,8,5,6,7,4,2,3]=>[3,7,4,8,6,5,1,2]
[1,8,5,6,7,4,3,2]=>[3,4,8,7,6,5,1,2]
[2,5,8,6,7,4,3,1]=>[4,8,2,7,6,1,5,3]
[8,2,5,3,7,1,6,4]=>[8,4,2,3,6,7,5,1]
[8,2,4,3,7,1,6,5]=>[3,8,2,4,6,7,5,1]
[5,8,2,4,3,7,1,6]=>[5,3,1,4,7,8,6,2]
[4,2,5,6,1,8,3,7]=>[3,1,7,2,4,8,5,6]
[4,2,5,6,1,7,3,8]=>[3,1,7,2,5,4,6,8]
[6,1,5,7,3,2,4,8]=>[6,5,3,7,2,1,4,8]
[6,1,5,8,3,2,4,7]=>[6,5,3,7,1,8,2,4]
[3,8,2,4,7,1,5,6]=>[1,3,4,6,7,8,5,2]
[3,6,8,2,4,7,1,5]=>[4,5,1,2,7,8,6,3]
[4,3,5,6,7,1,8,2]=>[2,1,3,4,8,6,5,7]
[3,7,1,5,6,8,2,4]=>[4,7,1,5,8,3,2,6]
[3,7,1,5,8,2,4,6]=>[6,1,4,7,8,3,2,5]
[8,3,2,4,6,1,5,7]=>[3,2,4,6,7,5,8,1]
[7,3,2,4,6,1,5,8]=>[3,2,4,6,7,5,1,8]
[3,2,5,1,7,4,6,8]=>[1,6,2,3,7,4,5,8]
[3,2,5,1,8,4,6,7]=>[1,6,2,3,7,8,4,5]
[3,2,5,1,7,8,4,6]=>[1,3,7,2,5,8,4,6]
[7,8,3,2,4,6,1,5]=>[4,3,5,7,1,8,6,2]
[6,1,5,7,8,3,2,4]=>[3,7,6,4,1,8,2,5]
[4,2,5,6,1,7,8,3]=>[3,1,6,2,4,8,5,7]
[5,7,6,1,8,3,4,2]=>[1,6,8,7,4,3,2,5]
[5,8,6,1,7,3,4,2]=>[1,6,8,7,4,3,5,2]
[6,1,5,8,7,3,2,4]=>[3,7,6,1,8,5,2,4]
[8,7,3,2,4,6,1,5]=>[4,3,5,7,8,6,2,1]
[3,2,5,1,8,7,4,6]=>[1,3,7,8,2,6,4,5]
[3,2,5,1,6,4,7,8]=>[1,6,2,4,3,5,7,8]
[3,2,4,1,8,7,5,6]=>[1,7,8,2,3,6,4,5]
[3,2,5,1,6,8,7,4]=>[1,3,8,2,5,7,4,6]
[3,8,6,5,1,7,4,2]=>[8,7,5,1,4,3,6,2]
[3,7,6,5,1,8,4,2]=>[8,7,5,1,4,3,2,6]
[6,5,1,7,8,4,2,3]=>[7,4,2,1,8,6,3,5]
[3,2,5,1,6,7,8,4]=>[1,5,2,3,6,8,4,7]
[3,2,4,1,8,5,6,7]=>[2,1,3,6,7,8,4,5]
[3,2,4,1,7,5,6,8]=>[2,1,3,6,7,4,5,8]
[3,2,4,1,6,8,5,7]=>[2,1,3,5,7,8,4,6]
[3,2,4,1,8,5,7,6]=>[1,8,2,3,6,7,4,5]
[8,3,2,4,7,6,1,5]=>[2,7,8,3,4,6,5,1]
[3,2,5,1,8,4,7,6]=>[1,3,8,2,6,7,4,5]
[3,2,5,1,6,7,4,8]=>[1,5,2,3,7,4,6,8]
[6,5,1,7,4,2,3,8]=>[6,7,5,3,2,1,4,8]
[6,5,1,8,4,2,3,7]=>[6,7,5,2,1,8,3,4]
[8,4,2,3,7,5,1,6]=>[7,3,2,4,6,8,5,1]
[4,2,6,1,8,3,7,5]=>[1,8,6,2,3,7,4,5]
[5,2,6,1,8,3,7,4]=>[8,6,2,1,3,7,4,5]
[8,4,6,1,7,3,5,2]=>[2,6,8,7,4,3,5,1]
[5,2,6,1,8,4,7,3]=>[6,3,1,8,2,7,4,5]
[7,4,2,3,8,5,1,6]=>[7,3,2,4,6,1,8,5]
[8,5,1,6,4,2,3,7]=>[6,7,5,3,2,4,8,1]
[7,5,1,6,4,2,3,8]=>[6,7,5,3,2,4,1,8]
[3,2,5,1,7,6,4,8]=>[1,3,7,2,6,4,5,8]
[3,2,5,1,8,6,4,7]=>[1,3,7,2,6,8,4,5]
[7,3,2,4,8,6,1,5]=>[2,7,8,3,4,1,6,5]
[8,6,1,5,7,3,2,4]=>[7,6,4,8,3,2,5,1]
[4,2,6,1,8,5,7,3]=>[1,6,3,8,2,7,4,5]
[8,5,6,1,7,3,4,2]=>[6,2,8,7,4,3,5,1]
[3,6,8,5,1,7,4,2]=>[2,8,7,1,5,4,6,3]
[8,5,1,6,7,4,2,3]=>[7,4,2,8,6,3,5,1]
[3,2,5,1,8,6,7,4]=>[1,3,6,8,2,7,4,5]
[3,2,4,1,8,6,5,7]=>[1,7,2,3,6,8,4,5]
[3,2,4,1,5,8,6,7]=>[2,1,3,7,8,4,5,6]
[3,2,5,1,7,8,6,4]=>[1,3,5,8,2,7,4,6]
[7,8,5,1,6,4,2,3]=>[7,8,6,4,3,1,5,2]
[3,8,5,1,7,6,4,2]=>[3,8,7,1,6,4,5,2]
[3,7,5,1,8,6,4,2]=>[3,8,7,1,6,4,2,5]
[8,7,5,1,6,4,2,3]=>[7,8,6,4,3,5,2,1]
[3,2,5,1,8,7,6,4]=>[8,1,3,7,2,6,4,5]
[6,5,7,3,1,8,4,2]=>[4,2,1,8,7,5,3,6]
[4,6,3,7,1,8,5,2]=>[8,1,3,2,7,5,4,6]
[4,6,3,7,5,1,8,2]=>[8,1,3,2,6,5,4,7]
[4,2,6,1,7,5,3,8]=>[1,7,6,2,4,3,5,8]
[2,5,7,4,1,6,3,8]=>[2,7,5,1,4,6,3,8]
[2,5,7,4,1,6,8,3]=>[2,6,4,8,1,5,3,7]
[5,4,7,3,6,1,8,2]=>[2,1,4,8,6,5,3,7]
[5,4,7,8,3,1,6,2]=>[1,8,2,6,5,3,7,4]
[4,3,7,5,1,8,6,2]=>[1,4,8,2,7,5,3,6]
[6,4,3,8,5,1,7,2]=>[2,8,3,1,6,5,7,4]
[5,8,4,3,6,1,7,2]=>[1,4,3,8,6,5,7,2]
[5,4,8,3,6,1,7,2]=>[2,1,4,8,6,5,7,3]
[5,4,3,6,7,1,8,2]=>[3,2,1,4,8,6,5,7]
[2,5,4,6,1,7,3,8]=>[3,2,7,1,5,4,6,8]
[3,2,5,8,1,6,7,4]=>[1,3,6,8,2,5,7,4]
[2,5,4,6,8,1,7,3]=>[3,2,4,8,1,6,7,5]
[5,2,8,4,1,6,7,3]=>[6,4,1,8,2,5,7,3]
[4,6,2,1,8,5,7,3]=>[1,6,8,3,2,7,4,5]
[2,4,1,7,5,8,6,3]=>[8,2,5,1,4,7,3,6]
[2,4,1,7,5,3,8,6]=>[2,5,8,1,6,3,4,7]
[2,6,4,1,8,5,3,7]=>[3,7,6,1,2,8,4,5]
[5,4,8,2,1,6,3,7]=>[4,2,1,7,5,6,8,3]
[2,5,8,4,1,6,3,7]=>[2,7,5,1,4,6,8,3]
[3,2,5,6,1,8,4,7]=>[1,3,7,2,4,8,5,6]
[4,8,3,2,6,1,5,7]=>[1,4,3,6,7,5,8,2]
[3,5,2,8,1,6,4,7]=>[7,1,3,2,5,6,8,4]
[3,2,1,6,8,5,4,7]=>[1,4,7,2,6,8,3,5]
[3,2,7,1,5,4,8,6]=>[1,5,8,2,4,6,3,7]
[3,2,7,1,5,8,6,4]=>[8,1,5,7,2,4,3,6]
[3,8,2,5,1,6,7,4]=>[6,1,3,4,8,5,7,2]
[4,8,3,2,6,7,1,5]=>[1,3,7,4,5,8,6,2]
[4,3,8,2,6,7,1,5]=>[1,7,2,4,5,8,6,3]
[4,3,2,6,7,8,1,5]=>[2,1,4,7,3,5,8,6]
[4,3,2,6,7,1,5,8]=>[2,1,6,3,4,7,5,8]
[4,3,7,2,6,8,1,5]=>[1,7,2,4,5,3,8,6]
[4,3,7,8,2,6,1,5]=>[1,5,7,2,3,8,6,4]
[2,5,7,4,8,1,6,3]=>[2,4,8,6,1,3,7,5]
[3,2,5,7,8,1,6,4]=>[8,1,3,6,2,4,7,5]
[3,2,5,7,1,6,8,4]=>[1,3,6,8,2,5,4,7]
[3,2,5,7,1,6,4,8]=>[1,3,7,2,5,6,4,8]
[6,3,2,7,1,5,4,8]=>[2,7,3,5,1,6,4,8]
[6,3,2,7,1,5,8,4]=>[2,6,8,3,1,5,4,7]
[6,3,2,7,8,1,5,4]=>[8,2,6,3,1,4,7,5]
[4,2,6,1,7,8,5,3]=>[1,5,3,8,2,7,4,6]
[6,5,2,1,7,8,4,3]=>[5,8,3,2,1,7,4,6]
[2,1,7,5,3,8,6,4]=>[4,8,7,1,5,2,3,6]
[6,2,1,8,5,3,7,4]=>[8,6,2,5,1,7,3,4]
[6,3,2,7,1,4,8,5]=>[2,8,3,5,1,6,4,7]
[6,3,2,1,4,7,8,5]=>[3,2,6,8,4,1,5,7]
[6,3,2,1,4,7,5,8]=>[3,2,7,4,5,1,6,8]
[3,5,2,1,7,4,6,8]=>[1,3,6,2,7,4,5,8]
[3,5,2,1,7,8,4,6]=>[7,1,3,2,5,8,4,6]
[5,8,4,2,1,7,3,6]=>[4,1,7,3,8,5,6,2]
[4,6,2,1,8,3,7,5]=>[1,8,3,6,2,7,4,5]
[2,4,1,7,3,8,6,5]=>[8,2,7,1,5,3,4,6]
[3,2,7,1,4,8,6,5]=>[8,1,7,2,4,5,3,6]
[3,5,8,2,1,7,4,6]=>[4,1,2,7,8,5,6,3]
[4,8,3,7,2,1,5,6]=>[1,3,6,5,7,8,4,2]
[4,3,7,2,8,1,5,6]=>[2,1,4,6,7,3,8,5]
[4,3,7,2,1,5,6,8]=>[2,1,5,4,6,7,3,8]
[4,8,3,2,7,1,5,6]=>[1,4,3,6,7,8,5,2]
[3,5,2,8,1,7,4,6]=>[7,1,2,8,3,5,6,4]
[6,3,2,8,1,4,7,5]=>[2,8,3,5,1,6,7,4]
[3,2,1,4,7,5,8,6]=>[1,8,2,6,3,4,5,7]
[5,3,2,1,8,4,6,7]=>[3,2,6,1,7,8,4,5]
[4,8,3,2,1,5,6,7]=>[1,5,4,3,6,7,8,2]
[4,3,8,2,1,5,6,7]=>[2,1,5,4,6,7,8,3]
[6,2,3,1,5,4,8,7]=>[2,3,5,8,4,1,6,7]
[8,4,5,2,3,1,7,6]=>[4,2,5,3,8,6,7,1]
[8,6,7,2,5,3,4,1]=>[6,8,4,2,7,5,3,1]
[8,2,5,3,4,1,7,6]=>[4,5,2,3,8,6,7,1]
[6,2,5,3,4,1,8,7]=>[4,5,2,3,1,8,6,7]
[6,1,5,2,4,3,8,7]=>[5,8,4,2,3,1,6,7]
[6,4,5,1,3,2,8,7]=>[5,2,8,4,3,1,6,7]
[6,1,5,3,4,2,8,7]=>[4,5,3,8,2,1,6,7]
[6,3,5,1,4,2,8,7]=>[2,5,8,4,3,1,6,7]
[8,3,5,2,4,1,7,6]=>[2,4,5,3,8,6,7,1]
[8,3,7,5,6,2,4,1]=>[6,4,8,2,7,5,3,1]
[8,3,7,2,4,1,6,5]=>[2,4,5,8,6,7,3,1]
[8,3,5,1,4,2,7,6]=>[2,5,8,4,3,6,7,1]
[8,1,5,3,4,2,7,6]=>[4,5,3,8,2,6,7,1]
[8,4,5,1,3,2,7,6]=>[5,2,8,4,3,6,7,1]
[2,1,8,4,5,3,7,6]=>[4,5,8,1,6,7,2,3]
[8,6,7,4,5,1,3,2]=>[8,6,4,2,7,5,3,1]
[8,6,7,1,5,3,4,2]=>[6,8,7,4,2,5,3,1]
[8,6,7,3,5,1,4,2]=>[4,8,6,2,7,5,3,1]
[8,3,7,5,6,1,4,2]=>[8,6,2,4,7,5,3,1]
[8,5,7,3,6,1,4,2]=>[4,2,8,6,7,5,3,1]
[8,3,7,4,6,2,5,1]=>[4,6,8,2,7,5,3,1]
[8,3,7,4,6,1,5,2]=>[4,8,2,6,7,5,3,1]
[8,3,7,1,6,4,5,2]=>[6,8,2,7,4,5,3,1]
[8,1,7,3,6,4,5,2]=>[6,8,4,7,5,2,3,1]
[8,1,7,5,6,3,4,2]=>[6,4,8,7,5,2,3,1]
[8,4,7,5,6,1,3,2]=>[8,2,6,4,7,5,3,1]
[2,1,8,4,7,5,6,3]=>[6,8,4,7,1,5,2,3]
[8,1,7,3,4,2,6,5]=>[4,5,8,6,7,2,3,1]
[8,1,7,3,6,2,5,4]=>[8,4,6,7,5,2,3,1]
[8,3,7,1,6,2,5,4]=>[8,2,6,7,4,5,3,1]
[8,3,7,2,6,4,5,1]=>[6,8,2,4,7,5,3,1]
[8,2,7,3,6,4,5,1]=>[6,8,4,7,2,5,3,1]
[8,2,7,3,6,1,5,4]=>[8,4,6,7,2,5,3,1]
[8,2,7,1,6,3,5,4]=>[8,6,7,2,4,5,3,1]
[8,1,7,2,4,3,6,5]=>[5,8,4,6,7,2,3,1]
[8,1,3,2,7,4,6,5]=>[8,3,6,7,2,4,5,1]
[2,1,8,3,7,4,6,5]=>[8,6,7,1,4,5,2,3]
[8,1,5,2,4,3,7,6]=>[5,8,4,2,3,6,7,1]
[8,2,7,1,4,3,6,5]=>[5,8,2,4,6,7,3,1]
[8,2,7,3,4,1,6,5]=>[4,5,8,2,6,7,3,1]
[8,2,7,5,6,3,4,1]=>[6,4,8,7,2,5,3,1]
[8,4,7,5,6,2,3,1]=>[6,2,4,8,7,5,3,1]
[8,4,7,2,3,1,6,5]=>[4,2,5,8,6,7,3,1]
[8,2,3,1,7,4,6,5]=>[8,2,3,6,7,4,5,1]
[8,2,3,1,5,4,7,6]=>[2,3,5,8,4,6,7,1]
[4,2,3,1,8,5,7,6]=>[8,2,1,3,6,7,4,5]
[4,1,3,2,8,6,7,5]=>[6,1,8,3,7,2,4,5]
[8,6,7,2,3,1,5,4]=>[4,5,8,6,2,7,3,1]
[8,2,3,1,7,5,6,4]=>[6,8,2,3,7,4,5,1]
[8,5,7,2,6,3,4,1]=>[6,2,8,4,7,5,3,1]
[8,5,7,2,6,1,4,3]=>[8,4,2,6,7,5,3,1]
[8,2,7,5,6,1,4,3]=>[8,6,4,7,2,5,3,1]
[8,6,7,2,5,1,4,3]=>[8,4,6,2,7,5,3,1]
[8,6,7,1,5,2,4,3]=>[8,6,7,4,2,5,3,1]
[8,6,7,1,3,2,5,4]=>[5,8,4,6,2,7,3,1]
[2,1,8,6,7,3,5,4]=>[8,6,4,7,1,5,2,3]
[2,1,8,3,7,5,6,4]=>[6,8,7,1,4,5,2,3]
[8,1,3,2,7,5,6,4]=>[6,8,3,7,2,4,5,1]
[8,1,7,5,6,2,4,3]=>[8,6,4,7,5,2,3,1]
[8,1,7,2,6,4,5,3]=>[6,8,7,4,5,2,3,1]
[8,2,7,1,6,4,5,3]=>[6,8,7,2,4,5,3,1]
[8,2,7,4,6,1,5,3]=>[4,8,6,7,2,5,3,1]
[8,2,7,4,6,3,5,1]=>[4,6,8,7,2,5,3,1]
[8,4,7,2,6,3,5,1]=>[2,6,8,4,7,5,3,1]
[8,4,7,2,6,1,5,3]=>[2,8,4,6,7,5,3,1]
[8,4,7,1,6,2,5,3]=>[2,8,6,7,4,5,3,1]
[8,1,7,4,6,2,5,3]=>[4,8,6,7,5,2,3,1]
[8,5,7,1,6,2,4,3]=>[8,6,2,7,4,5,3,1]
[2,1,8,5,7,3,6,4]=>[4,8,6,7,1,5,2,3]
[8,5,7,4,6,1,3,2]=>[2,8,6,4,7,5,3,1]
[8,5,7,1,6,3,4,2]=>[6,2,8,7,4,5,3,1]
[8,1,7,4,6,3,5,2]=>[4,6,8,7,5,2,3,1]
[8,4,7,1,6,3,5,2]=>[2,6,8,7,4,5,3,1]
[8,4,7,3,6,1,5,2]=>[2,4,8,6,7,5,3,1]
[2,4,8,3,6,1,7,5]=>[8,2,4,6,1,5,7,3]
[6,5,8,1,3,2,7,4]=>[5,8,4,2,1,6,7,3]
[4,5,8,6,3,2,7,1]=>[6,1,2,5,4,8,7,3]
[6,5,8,7,3,1,2,4]=>[6,2,1,7,5,8,4,3]
[1,5,8,7,3,6,2,4]=>[2,5,7,8,6,4,1,3]
[1,7,2,8,4,6,5,3]=>[8,5,7,6,3,1,2,4]
[6,7,2,8,4,1,5,3]=>[8,6,3,1,5,2,7,4]
[3,6,2,8,4,5,7,1]=>[5,6,1,2,8,3,7,4]
[2,6,1,8,4,5,7,3]=>[5,6,2,8,1,7,3,4]
[2,8,4,6,1,5,7,3]=>[3,6,8,5,1,4,7,2]
[6,3,1,8,4,5,7,2]=>[2,5,6,1,8,7,3,4]
[3,1,6,8,4,5,7,2]=>[5,1,3,6,8,7,2,4]
[2,3,6,8,4,5,7,1]=>[5,3,6,8,1,2,7,4]
[6,3,7,8,4,1,5,2]=>[8,6,2,1,5,3,7,4]
[1,3,7,8,4,6,5,2]=>[8,5,3,7,2,6,1,4]
[1,5,7,8,2,4,6,3]=>[2,6,8,5,3,7,1,4]
[5,1,7,8,2,4,6,3]=>[6,1,8,5,3,7,2,4]
[3,6,7,8,4,2,5,1]=>[2,6,5,1,3,8,7,4]
[7,6,1,8,4,2,5,3]=>[8,6,5,7,3,2,1,4]
[5,6,8,7,3,2,1,4]=>[1,2,7,6,5,8,4,3]
[2,8,3,7,1,6,5,4]=>[8,7,3,5,6,1,4,2]
[5,2,8,7,3,6,1,4]=>[5,1,7,8,6,2,4,3]
[7,2,1,8,4,6,5,3]=>[8,5,7,2,6,3,1,4]
[3,2,7,8,4,6,5,1]=>[8,5,1,3,7,2,6,4]
[5,2,7,8,1,4,6,3]=>[6,1,8,5,2,3,7,4]
[1,2,7,8,5,4,6,3]=>[6,5,3,8,7,1,2,4]
[4,2,1,3,8,5,6,7]=>[2,6,1,7,8,3,4,5]
[7,2,5,8,3,4,6,1]=>[5,3,6,8,2,1,7,4]
[6,2,8,5,4,3,1,7]=>[7,6,5,2,1,4,8,3]
[2,8,3,5,4,1,6,7]=>[6,3,5,1,4,7,8,2]
[2,8,4,5,3,1,6,7]=>[3,6,5,1,4,7,8,2]
[6,4,8,5,2,3,1,7]=>[2,5,1,7,6,4,8,3]
[7,3,5,8,2,4,6,1]=>[5,2,3,6,1,8,7,4]
[4,3,1,2,8,5,6,7]=>[6,2,1,7,8,3,4,5]
[3,4,2,1,8,5,6,7]=>[1,3,2,6,7,8,4,5]
[2,7,6,8,4,3,5,1]=>[6,5,3,2,8,1,7,4]
[5,7,1,8,3,4,6,2]=>[5,1,6,8,7,3,2,4]
[3,7,5,8,1,4,6,2]=>[6,3,8,1,5,2,7,4]
[1,7,5,8,3,4,6,2]=>[5,3,6,2,8,7,1,4]
[1,6,8,5,4,3,2,7]=>[2,7,6,5,4,8,1,3]
[4,6,8,5,1,3,2,7]=>[7,1,5,2,6,4,8,3]
[5,6,8,1,4,3,2,7]=>[1,7,6,4,2,5,8,3]
[7,5,8,6,3,4,2,1]=>[2,5,1,8,7,6,4,3]
[2,4,8,3,6,5,1,7]=>[7,2,4,6,1,5,8,3]
[2,8,4,1,5,6,3,7]=>[5,3,7,1,4,6,8,2]
[4,1,8,3,5,6,2,7]=>[4,1,5,7,6,8,2,3]
[5,6,8,4,1,3,2,7]=>[1,7,5,2,6,4,8,3]
[4,6,8,1,5,3,2,7]=>[7,1,6,4,2,5,8,3]
[1,6,8,4,5,3,2,7]=>[4,2,7,6,5,8,1,3]
[1,7,3,8,5,4,6,2]=>[6,5,8,3,2,7,1,4]
[3,7,1,8,5,4,6,2]=>[6,5,8,1,7,3,2,4]
[2,7,3,8,4,6,5,1]=>[8,5,7,3,1,2,6,4]
[7,1,3,8,4,6,5,2]=>[8,5,7,3,6,2,1,4]
[5,7,8,4,3,6,1,2]=>[7,1,5,4,2,8,6,3]
[2,8,7,4,1,6,5,3]=>[4,8,7,5,6,1,3,2]
[2,8,5,4,3,1,6,7]=>[6,5,4,1,3,7,8,2]
[6,5,8,4,2,3,1,7]=>[5,2,1,7,6,4,8,3]
[4,1,3,2,8,5,6,7]=>[3,6,1,7,8,2,4,5]
[1,4,3,2,8,5,6,7]=>[3,2,6,7,8,1,4,5]
[7,3,2,8,5,4,6,1]=>[6,2,5,8,3,1,7,4]
[6,4,8,2,5,3,1,7]=>[2,7,4,1,6,5,8,3]
[2,8,4,3,5,1,6,7]=>[4,3,6,1,5,7,8,2]
[2,8,3,4,5,1,6,7]=>[3,4,6,1,5,7,8,2]
[6,2,8,4,5,3,1,7]=>[4,7,6,2,1,5,8,3]
[7,2,3,8,5,4,6,1]=>[6,5,8,2,3,1,7,4]
[4,2,3,1,8,5,6,7]=>[2,3,1,6,7,8,4,5]
[3,2,1,4,8,5,6,7]=>[2,1,6,7,8,3,4,5]
[5,1,3,2,4,8,6,7]=>[3,7,8,2,1,4,5,6]
[2,8,1,5,3,4,7,6]=>[8,5,1,3,4,6,7,2]
[1,2,8,4,5,3,7,6]=>[4,5,8,6,7,1,2,3]
[1,4,2,8,5,3,6,7]=>[2,6,5,7,8,1,3,4]
[1,8,4,2,5,3,6,7]=>[6,4,3,5,7,8,1,2]
[8,1,5,3,2,4,6,7]=>[5,4,6,2,3,7,8,1]
[3,8,1,5,2,4,6,7]=>[1,5,6,3,4,7,8,2]
[3,5,1,4,8,2,6,7]=>[1,4,6,2,7,8,3,5]
[1,5,2,8,4,3,6,7]=>[6,5,2,7,8,1,3,4]
[1,2,8,5,4,3,6,7]=>[6,5,4,7,8,1,2,3]
[1,2,5,4,3,8,6,7]=>[4,3,7,8,1,2,5,6]
[1,2,4,8,5,3,7,6]=>[5,8,3,6,7,1,2,4]
[1,2,7,4,8,5,3,6]=>[7,4,6,3,8,1,2,5]
[1,5,2,7,8,4,3,6]=>[2,7,6,4,8,1,3,5]
[5,1,2,7,4,8,3,6]=>[5,7,4,1,8,2,3,6]
[8,3,5,1,4,7,2,6]=>[2,5,7,3,8,4,6,1]
[2,8,1,5,4,7,3,6]=>[5,4,7,8,1,3,6,2]
[1,2,8,5,7,4,3,6]=>[4,7,6,8,5,1,2,3]
[1,2,4,8,7,5,3,6]=>[7,6,8,3,5,1,2,4]
[2,8,1,4,3,7,6,5]=>[8,4,7,1,3,5,6,2]
[6,1,2,8,7,4,3,5]=>[7,6,8,5,2,1,3,4]
[6,4,1,2,8,7,3,5]=>[7,2,8,6,3,1,4,5]
[3,6,4,8,1,7,2,5]=>[3,7,1,2,8,5,6,4]
[7,6,1,4,2,8,3,5]=>[7,4,8,3,5,2,1,6]
[7,1,6,2,8,4,3,5]=>[7,6,8,4,2,3,1,5]
[1,6,7,2,8,4,3,5]=>[7,6,2,8,4,1,3,5]
[6,7,1,4,2,8,3,5]=>[7,4,8,3,1,5,2,6]
[6,3,7,1,4,8,2,5]=>[2,5,7,1,8,4,3,6]
[3,7,8,1,5,2,4,6]=>[6,7,1,4,5,2,8,3]
[7,1,2,8,5,3,4,6]=>[6,7,5,8,2,3,1,4]
[1,7,2,8,4,5,3,6]=>[5,7,6,8,3,1,2,4]
[1,4,2,7,8,5,3,6]=>[7,2,6,4,8,1,3,5]
[6,1,2,8,4,3,7,5]=>[5,8,6,7,2,1,3,4]
[6,4,1,2,8,3,7,5]=>[8,6,2,7,3,1,4,5]
[7,6,1,3,2,4,8,5]=>[4,8,3,5,6,2,1,7]
[6,7,1,3,2,4,8,5]=>[4,8,3,5,1,6,2,7]
[1,2,7,3,5,8,4,6]=>[5,7,8,4,1,2,3,6]
[1,2,7,5,8,3,4,6]=>[6,4,7,3,8,1,2,5]
[5,8,1,3,7,2,4,6]=>[4,6,1,7,8,3,5,2]
[1,2,5,8,7,3,4,6]=>[3,6,7,8,5,1,2,4]
[1,2,5,8,3,7,4,6]=>[3,7,8,5,6,1,2,4]
[2,8,1,7,3,5,4,6]=>[7,5,6,8,1,3,4,2]
[8,6,1,3,2,4,7,5]=>[4,8,3,5,6,2,7,1]
[4,2,8,1,7,3,6,5]=>[1,8,6,7,2,4,5,3]
[2,8,1,7,4,3,6,5]=>[5,8,6,7,1,3,4,2]
[7,1,2,8,4,3,6,5]=>[5,8,6,7,2,3,1,4]
[1,2,8,4,7,5,3,6]=>[7,4,6,8,5,1,2,3]
[1,2,8,7,4,5,3,6]=>[5,7,6,8,4,1,2,3]
[2,8,1,7,5,3,4,6]=>[6,7,5,8,1,3,4,2]
[8,3,7,1,5,2,4,6]=>[2,6,7,4,5,8,3,1]
[3,8,6,1,4,7,2,5]=>[5,7,8,1,4,3,6,2]
[8,6,1,4,2,7,3,5]=>[7,4,8,3,5,2,6,1]
[8,1,6,2,7,4,3,5]=>[7,6,8,4,2,3,5,1]
[7,1,2,8,6,4,3,5]=>[7,6,8,5,2,3,1,4]
[7,4,1,2,8,6,3,5]=>[7,2,8,6,3,4,1,5]
[3,7,4,8,1,6,2,5]=>[3,7,8,1,5,2,6,4]
[3,4,8,7,1,6,2,5]=>[7,8,1,2,5,6,4,3]
[4,2,8,1,7,6,3,5]=>[1,7,8,6,2,4,5,3]
[2,8,1,7,6,4,3,5]=>[7,6,8,5,1,3,4,2]
[7,8,3,4,1,5,2,6]=>[3,7,5,4,6,1,8,2]
[7,8,3,4,1,6,2,5]=>[3,7,4,8,5,1,6,2]
[6,8,3,4,1,7,2,5]=>[3,7,4,1,8,5,6,2]
[6,7,3,4,1,8,2,5]=>[3,7,4,1,8,5,2,6]
[5,7,3,4,1,8,2,6]=>[3,1,7,4,8,5,2,6]
[5,8,3,4,1,7,2,6]=>[3,1,7,4,8,5,6,2]
[5,8,3,4,1,6,2,7]=>[3,1,7,5,4,6,8,2]
[6,8,3,4,1,5,2,7]=>[3,7,5,4,1,6,8,2]
[6,7,3,4,1,5,2,8]=>[3,7,5,4,1,6,2,8]
[5,7,3,4,1,6,2,8]=>[3,1,7,5,4,6,2,8]
[5,6,2,8,3,4,1,7]=>[5,1,7,3,2,6,8,4]
[5,6,2,7,3,4,1,8]=>[5,1,7,3,2,6,4,8]
[4,6,2,8,3,5,1,7]=>[1,5,7,3,2,6,8,4]
[4,7,3,5,1,6,2,8]=>[1,3,7,5,4,6,2,8]
[4,8,3,5,1,6,2,7]=>[1,3,7,5,4,6,8,2]
[4,8,3,5,1,7,2,6]=>[1,3,7,4,8,5,6,2]
[4,7,3,5,1,8,2,6]=>[1,3,7,4,8,5,2,6]
[5,6,2,3,1,7,4,8]=>[3,4,1,7,5,2,6,8]
[5,6,2,4,1,8,3,7]=>[7,3,1,4,2,8,5,6]
[5,6,2,4,1,7,3,8]=>[7,3,1,5,4,2,6,8]
[4,6,2,5,1,7,3,8]=>[1,7,3,5,4,2,6,8]
[4,6,2,5,1,8,3,7]=>[1,7,3,4,2,8,5,6]
[4,5,1,8,3,7,2,6]=>[1,5,2,7,8,6,3,4]
[4,5,1,7,3,8,2,6]=>[1,5,2,7,4,8,3,6]
[4,6,2,7,3,8,1,5]=>[1,5,7,3,2,4,8,6]
[5,6,2,7,3,8,1,4]=>[5,1,7,3,2,4,8,6]
[5,6,2,7,4,8,1,3]=>[1,7,5,3,2,4,8,6]
[5,6,3,8,4,7,1,2]=>[1,7,3,2,5,8,6,4]
[5,6,2,8,4,7,1,3]=>[1,7,5,2,8,3,6,4]
[5,6,2,8,3,7,1,4]=>[5,1,7,2,8,3,6,4]
[4,6,2,8,3,7,1,5]=>[1,5,7,2,8,3,6,4]
[4,5,1,7,3,6,2,8]=>[1,5,2,7,6,3,4,8]
[4,5,1,8,3,6,2,7]=>[1,5,2,7,6,8,3,4]
[6,5,3,2,1,4,8,7]=>[4,3,8,5,2,1,6,7]
[4,6,3,5,2,1,8,7]=>[1,3,5,4,2,8,6,7]
[8,7,3,5,2,4,1,6]=>[3,5,7,6,4,8,2,1]
[6,8,2,4,5,7,3,1]=>[4,5,1,8,3,7,6,2]
[8,7,2,4,5,3,1,6]=>[4,7,3,6,5,8,2,1]
[3,6,1,4,5,2,8,7]=>[1,4,5,8,3,2,6,7]
[8,3,7,4,5,2,1,6]=>[4,7,2,6,5,8,3,1]
[6,3,8,4,5,7,2,1]=>[4,5,1,8,2,7,6,3]
[5,8,7,4,3,6,2,1]=>[5,1,4,8,7,6,3,2]
[2,8,7,4,3,6,1,5]=>[5,4,7,8,6,1,3,2]
[8,1,7,4,3,6,2,5]=>[5,4,7,8,6,2,3,1]
[8,7,3,5,1,4,2,6]=>[3,7,5,6,4,8,2,1]
[2,1,6,8,5,7,4,3]=>[3,5,8,7,1,6,2,4]
[6,8,3,5,1,7,4,2]=>[8,3,1,7,5,4,6,2]
[5,1,8,4,7,6,3,2]=>[1,8,4,7,6,5,2,3]
[2,5,8,4,7,6,3,1]=>[8,2,4,7,6,1,5,3]
[4,3,8,1,5,6,7,2]=>[2,1,5,6,8,4,7,3]
[4,8,1,3,5,6,7,2]=>[4,1,5,6,8,3,7,2]
[5,8,7,4,1,6,3,2]=>[8,1,7,5,4,6,3,2]
[5,8,3,6,1,4,7,2]=>[3,1,6,8,5,4,7,2]
[4,8,3,6,1,2,7,5]=>[1,3,8,5,6,4,7,2]
[3,8,7,4,1,6,2,5]=>[7,4,8,1,5,6,3,2]
[3,8,1,2,5,6,7,4]=>[1,5,6,8,3,4,7,2]
[8,7,1,4,2,6,3,5]=>[7,4,8,3,5,6,2,1]
[8,6,3,1,2,4,7,5]=>[8,4,3,5,6,2,7,1]
[8,1,7,4,5,2,3,6]=>[6,4,7,5,8,2,3,1]
[2,8,7,4,5,1,3,6]=>[6,4,7,5,8,1,3,2]
[8,7,2,4,1,6,3,5]=>[7,3,4,8,5,6,2,1]
[5,8,3,6,2,4,7,1]=>[3,1,5,6,4,8,7,2]
[8,6,3,2,1,4,7,5]=>[4,3,8,5,6,2,7,1]
[8,7,3,5,2,1,4,6]=>[3,6,5,7,4,8,2,1]
[5,8,3,6,2,1,7,4]=>[3,1,5,8,6,4,7,2]
[5,8,7,4,2,6,1,3]=>[1,5,7,4,8,6,3,2]
[2,6,8,4,5,7,1,3]=>[4,2,7,5,8,1,6,3]
[6,1,8,4,5,7,2,3]=>[4,7,5,1,8,6,2,3]
[6,8,3,5,1,7,2,4]=>[3,7,1,8,5,4,6,2]
[2,1,5,8,3,6,7,4]=>[3,6,8,1,5,7,2,4]
[5,8,3,6,1,2,7,4]=>[3,1,8,5,6,4,7,2]
[4,1,8,2,5,6,7,3]=>[5,1,6,8,4,7,2,3]
[2,4,8,1,5,6,7,3]=>[2,5,6,8,1,4,7,3]
[4,8,2,1,5,6,7,3]=>[3,1,5,6,8,4,7,2]
[3,4,8,2,5,6,7,1]=>[1,2,4,5,6,8,7,3]
[5,8,1,4,7,6,2,3]=>[4,1,7,8,6,3,5,2]
[5,8,3,1,6,2,7,4]=>[3,1,8,6,4,5,7,2]
[4,5,3,8,6,1,7,2]=>[1,2,8,3,6,5,7,4]
[3,4,1,8,5,6,7,2]=>[1,2,5,6,8,7,3,4]
[4,5,7,6,2,3,8,1]=>[1,2,5,6,4,3,8,7]
[3,5,7,2,6,4,8,1]=>[2,6,1,4,5,3,8,7]
[2,5,7,3,6,4,8,1]=>[2,6,4,5,1,3,8,7]
[1,5,7,3,6,8,4,2]=>[2,5,8,4,3,7,1,6]
[8,4,3,7,6,1,5,2]=>[2,8,3,6,7,5,4,1]
[6,7,2,3,5,4,8,1]=>[6,3,4,1,5,2,8,7]
[5,2,7,3,6,4,8,1]=>[6,4,1,5,2,3,8,7]
[8,3,4,7,6,1,5,2]=>[8,2,3,6,7,5,4,1]
[8,2,4,7,1,6,5,3]=>[8,3,7,2,5,6,4,1]
[3,1,4,7,6,8,5,2]=>[5,1,4,8,3,7,2,6]
[4,1,3,7,6,8,5,2]=>[1,5,4,8,3,7,2,6]
[5,1,7,3,6,8,4,2]=>[5,1,8,4,3,7,2,6]
[6,7,1,3,5,8,4,2]=>[5,8,4,1,7,3,2,6]
[5,8,7,3,6,1,4,2]=>[1,4,8,6,7,5,3,2]
[4,8,3,7,6,1,5,2]=>[8,1,3,6,7,5,4,2]
[3,8,4,7,6,1,5,2]=>[8,3,6,7,1,5,4,2]
[2,8,4,7,1,6,5,3]=>[8,3,7,5,6,1,4,2]
[8,1,4,7,2,6,5,3]=>[8,3,7,5,6,2,4,1]
[8,1,3,2,7,6,5,4]=>[8,7,3,6,2,4,5,1]
[2,8,3,1,7,6,5,4]=>[8,7,3,6,1,4,5,2]
[3,8,2,1,7,6,5,4]=>[8,7,1,3,6,4,5,2]
[6,7,1,2,8,5,4,3]=>[8,7,6,3,1,4,2,5]
[8,2,3,1,7,6,5,4]=>[8,7,2,3,6,4,5,1]
[8,3,2,1,7,6,5,4]=>[8,2,7,3,6,4,5,1]
[3,4,1,7,6,8,5,2]=>[5,1,2,4,8,7,3,6]
[1,4,2,7,8,6,5,3]=>[4,8,2,7,6,1,3,5]
[8,4,2,7,1,6,5,3]=>[2,8,7,3,5,6,4,1]
[8,5,7,2,1,6,4,3]=>[8,4,2,7,5,6,3,1]
[1,5,7,2,8,6,4,3]=>[8,2,7,6,4,1,3,5]
[2,5,7,1,8,6,4,3]=>[8,2,7,6,1,4,3,5]
[3,5,7,1,6,8,4,2]=>[2,5,8,1,7,4,3,6]
[6,7,4,5,8,1,3,2]=>[3,1,8,6,4,2,7,5]
[5,4,7,6,8,1,3,2]=>[1,8,2,6,4,3,7,5]
[2,5,7,8,1,6,4,3]=>[8,2,7,5,1,3,6,4]
[1,5,7,8,2,6,4,3]=>[8,2,7,5,3,6,1,4]
[8,5,7,1,2,6,4,3]=>[8,7,4,2,5,6,3,1]
[8,4,1,7,2,6,5,3]=>[2,8,7,5,6,3,4,1]
[1,4,8,7,2,6,5,3]=>[8,7,2,5,6,4,1,3]
[3,4,8,7,6,1,5,2]=>[8,6,7,1,2,5,4,3]
[4,3,8,7,6,1,5,2]=>[8,1,6,7,2,5,4,3]
[5,3,7,8,6,1,4,2]=>[1,8,6,2,3,7,5,4]
[6,7,2,8,1,5,4,3]=>[8,7,3,1,5,2,6,4]
[5,2,7,8,1,6,4,3]=>[1,8,7,5,2,3,6,4]
[4,2,8,7,1,6,5,3]=>[8,1,7,5,6,2,4,3]
[3,2,8,1,7,6,5,4]=>[8,7,1,6,2,4,5,3]
[1,3,8,2,7,6,5,4]=>[8,7,6,2,4,5,1,3]
[8,3,1,2,7,6,5,4]=>[8,2,7,6,3,4,5,1]
[8,2,1,3,7,6,5,4]=>[8,7,2,6,3,4,5,1]
[1,2,8,3,7,6,5,4]=>[8,7,6,4,5,1,2,3]
[2,1,8,3,7,6,5,4]=>[8,7,6,1,4,5,2,3]
[4,1,8,7,2,6,5,3]=>[8,1,7,5,6,4,2,3]
[5,1,7,8,2,6,4,3]=>[1,8,7,5,3,6,2,4]
[6,7,1,8,2,5,4,3]=>[8,7,5,1,6,3,2,4]
[5,8,7,1,2,6,4,3]=>[1,8,7,4,5,6,3,2]
[4,8,1,7,2,6,5,3]=>[8,1,7,5,6,3,4,2]
[3,8,1,2,7,6,5,4]=>[8,7,1,6,3,4,5,2]
[2,8,1,3,7,6,5,4]=>[8,7,6,1,3,4,5,2]
[1,8,2,3,7,6,5,4]=>[8,7,6,3,4,5,1,2]
[8,1,2,3,7,6,5,4]=>[8,7,6,2,3,4,5,1]
[6,7,1,8,4,5,2,3]=>[7,5,1,8,6,3,2,4]
[3,7,1,5,8,2,6,4]=>[4,8,1,6,7,3,2,5]
[2,7,1,5,8,3,6,4]=>[4,8,6,7,1,3,2,5]
[2,6,5,1,8,3,7,4]=>[8,6,3,1,2,7,4,5]
[3,6,5,1,8,2,7,4]=>[8,6,1,3,2,7,4,5]
[4,6,5,1,8,7,2,3]=>[7,1,3,2,8,6,4,5]
[5,6,4,1,8,7,2,3]=>[1,7,3,2,8,6,4,5]
[8,1,4,5,7,6,2,3]=>[3,4,7,8,6,2,5,1]
[6,4,5,1,8,7,2,3]=>[2,7,3,1,8,6,4,5]
[5,4,6,1,8,7,2,3]=>[2,1,7,3,8,6,4,5]
[4,5,6,1,8,7,2,3]=>[1,2,7,3,8,6,4,5]
[3,5,6,1,8,2,7,4]=>[2,8,1,6,3,7,4,5]
[2,5,6,1,8,3,7,4]=>[2,8,6,1,3,7,4,5]
[2,4,6,1,3,8,7,5]=>[8,2,7,1,4,3,5,6]
[3,4,6,1,2,8,7,5]=>[8,1,2,7,4,3,5,6]
[4,3,6,1,2,8,7,5]=>[1,8,2,7,4,3,5,6]
[5,3,6,1,8,2,7,4]=>[8,2,1,6,3,7,4,5]
[7,3,1,5,8,2,6,4]=>[2,4,8,6,7,3,1,5]
[8,1,3,5,7,2,6,4]=>[4,8,3,6,7,2,5,1]
[8,1,2,5,7,3,6,4]=>[4,8,6,7,2,3,5,1]
[7,2,1,5,8,3,6,4]=>[4,8,2,6,7,3,1,5]
[6,2,5,1,8,3,7,4]=>[8,6,2,3,1,7,4,5]
[4,2,6,1,3,8,7,5]=>[1,8,7,2,4,3,5,6]
[2,3,6,1,4,8,7,5]=>[8,7,1,2,4,3,5,6]
[4,2,5,3,1,8,7,6]=>[3,1,8,2,4,7,5,6]
[6,2,4,1,3,8,7,5]=>[3,8,2,7,4,1,5,6]
[7,2,1,4,3,8,6,5]=>[8,2,4,7,3,5,1,6]
[8,1,2,4,3,7,6,5]=>[8,4,7,2,3,5,6,1]
[8,1,3,4,2,7,6,5]=>[8,3,4,7,2,5,6,1]
[7,3,1,4,2,8,6,5]=>[2,8,4,7,3,5,1,6]
[6,3,4,1,2,8,7,5]=>[2,3,8,7,4,1,5,6]
[4,6,3,1,2,8,7,5]=>[1,3,8,7,4,2,5,6]
[3,6,4,1,2,8,7,5]=>[3,8,1,7,4,2,5,6]
[2,6,4,1,3,8,7,5]=>[3,8,7,1,4,2,5,6]
[2,7,1,4,3,8,6,5]=>[8,4,7,1,3,5,2,6]
[3,7,1,4,2,8,6,5]=>[8,1,4,7,3,5,2,6]
[4,7,1,3,2,8,6,5]=>[1,8,4,7,3,5,2,6]
[8,1,6,7,2,3,5,4]=>[8,5,6,3,7,2,4,1]
[4,7,1,2,3,8,6,5]=>[1,8,7,3,4,5,2,6]
[3,7,1,2,4,8,6,5]=>[8,1,7,3,4,5,2,6]
[2,7,1,3,4,8,6,5]=>[8,7,1,3,4,5,2,6]
[2,6,3,1,4,8,7,5]=>[8,3,7,1,4,2,5,6]
[3,6,2,1,4,8,7,5]=>[8,1,3,7,4,2,5,6]
[5,6,2,1,8,3,7,4]=>[8,3,1,6,2,7,4,5]
[6,5,2,1,8,3,7,4]=>[8,3,6,2,1,7,4,5]
[8,1,5,2,7,3,6,4]=>[8,6,3,7,2,4,5,1]
[8,1,4,2,3,7,6,5]=>[3,8,7,2,4,5,6,1]
[7,4,1,2,3,8,6,5]=>[8,7,3,2,4,5,1,6]
[6,4,2,1,3,8,7,5]=>[8,3,2,7,4,1,5,6]
[5,4,2,3,1,8,7,6]=>[8,3,2,1,4,7,5,6]
[3,5,2,4,1,8,7,6]=>[8,1,3,2,4,7,5,6]
[6,3,2,1,4,8,7,5]=>[2,8,3,7,4,1,5,6]
[7,3,1,2,4,8,6,5]=>[2,8,7,3,4,5,1,6]
[8,1,3,2,4,7,6,5]=>[8,3,7,2,4,5,6,1]
[8,1,2,3,4,7,6,5]=>[8,7,2,3,4,5,6,1]
[7,2,1,3,4,8,6,5]=>[8,2,7,3,4,5,1,6]
[6,2,3,1,4,8,7,5]=>[8,2,3,7,4,1,5,6]
[2,4,3,6,1,5,8,7]=>[2,8,1,3,5,4,6,7]
[2,4,3,6,5,8,1,7]=>[2,5,1,3,4,7,8,6]
[2,4,6,3,5,8,7,1]=>[8,2,4,1,3,5,7,6]
[2,4,6,3,5,8,1,7]=>[2,4,5,1,3,7,8,6]
[2,4,6,3,5,1,8,7]=>[2,4,5,1,3,8,6,7]
[2,4,6,3,1,5,8,7]=>[2,4,8,1,5,3,6,7]
[2,4,1,6,5,3,8,7]=>[2,5,1,4,8,3,6,7]
[2,4,6,1,5,3,8,7]=>[2,5,8,1,4,3,6,7]
[4,2,6,5,3,1,8,7]=>[1,5,4,2,3,8,6,7]
[4,2,6,5,1,3,8,7]=>[1,8,5,2,4,3,6,7]
[4,2,6,5,1,8,7,3]=>[1,4,3,8,2,7,5,6]
[4,2,6,5,8,1,7,3]=>[1,4,3,8,2,6,7,5]
[4,2,6,5,8,1,3,7]=>[1,6,4,2,3,7,8,5]
[4,2,6,5,8,3,1,7]=>[1,4,3,7,2,6,8,5]
[2,4,6,1,5,8,3,7]=>[2,5,7,1,3,8,4,6]
[2,4,1,6,5,8,3,7]=>[2,5,1,4,7,8,3,6]
[2,1,4,6,5,8,3,7]=>[5,1,3,4,7,8,2,6]
[2,4,1,6,5,8,7,3]=>[2,4,8,1,5,7,3,6]
[2,4,6,1,5,8,7,3]=>[8,2,5,1,3,7,4,6]
[4,2,6,5,3,8,7,1]=>[1,4,3,8,2,5,7,6]
[4,2,6,5,8,3,7,1]=>[1,4,3,6,8,2,7,5]
[2,6,4,3,8,7,1,5]=>[3,7,2,8,1,4,6,5]
[2,6,4,3,8,7,5,1]=>[8,3,2,7,1,4,6,5]
[4,2,6,8,5,3,7,1]=>[1,3,6,5,8,2,7,4]
[2,4,6,8,1,5,7,3]=>[6,2,3,8,1,5,7,4]
[2,4,6,1,8,5,7,3]=>[6,2,3,8,1,7,4,5]
[2,4,1,6,8,5,7,3]=>[2,4,6,8,1,7,3,5]
[2,1,4,6,8,5,7,3]=>[4,6,8,1,3,7,2,5]
[2,1,4,6,8,5,3,7]=>[4,7,1,3,6,8,2,5]
[2,4,1,6,8,5,3,7]=>[2,4,7,1,6,8,3,5]
[2,4,6,1,8,5,3,7]=>[7,2,6,1,3,8,4,5]
[2,4,6,8,1,5,3,7]=>[7,2,5,1,3,6,8,4]
[4,2,6,8,5,3,1,7]=>[1,3,7,6,2,5,8,4]
[4,2,6,8,5,1,3,7]=>[1,6,3,7,2,5,8,4]
[4,2,6,8,5,1,7,3]=>[1,3,8,6,2,5,7,4]
[2,4,6,8,3,5,7,1]=>[5,2,3,6,8,1,7,4]
[2,4,6,8,3,5,1,7]=>[5,2,3,7,1,6,8,4]
[2,4,6,8,3,1,5,7]=>[6,2,5,1,3,7,8,4]
[2,4,6,3,1,8,5,7]=>[2,4,7,1,3,8,5,6]
[2,4,6,3,8,1,5,7]=>[2,4,6,1,3,7,8,5]
[2,4,6,3,8,5,1,7]=>[7,2,4,1,3,6,8,5]
[2,4,6,3,8,5,7,1]=>[6,2,3,8,1,4,7,5]
[2,4,3,6,8,5,7,1]=>[2,4,6,8,1,3,7,5]
[2,4,3,6,8,5,1,7]=>[2,4,7,1,3,6,8,5]
[2,4,3,6,8,1,5,7]=>[2,6,1,3,4,7,8,5]
[2,4,3,6,1,8,5,7]=>[2,7,1,3,4,8,5,6]
[2,4,3,1,6,8,5,7]=>[3,1,2,5,7,8,4,6]
[2,4,1,3,6,8,7,5]=>[2,8,1,5,7,3,4,6]
[2,4,3,6,1,8,7,5]=>[2,4,8,1,3,7,5,6]
[2,4,3,6,8,1,7,5]=>[2,4,8,1,3,6,7,5]
[4,6,5,2,8,7,3,1]=>[3,1,2,8,7,4,6,5]
[4,6,5,2,8,7,1,3]=>[7,1,3,2,8,4,6,5]
[4,6,2,5,8,7,1,3]=>[1,4,7,2,8,3,6,5]
[4,6,2,5,8,7,3,1]=>[8,1,4,2,7,3,6,5]
[2,4,6,3,8,1,7,5]=>[8,2,4,1,3,6,7,5]
[2,4,6,3,1,8,7,5]=>[8,2,4,1,3,7,5,6]
[2,4,1,6,3,8,7,5]=>[2,4,8,1,7,3,5,6]
[2,1,4,6,3,8,7,5]=>[4,8,1,3,7,2,5,6]
[2,1,4,6,8,3,7,5]=>[4,8,1,3,6,7,2,5]
[2,4,1,6,8,3,7,5]=>[2,4,8,1,6,7,3,5]
[2,4,6,1,8,3,7,5]=>[8,2,6,1,3,7,4,5]
[2,4,6,8,1,3,7,5]=>[8,2,5,1,3,6,7,4]
[2,4,6,8,3,1,7,5]=>[5,2,3,8,1,6,7,4]
[4,6,2,8,5,7,3,1]=>[5,1,2,8,7,3,6,4]
[4,6,2,8,5,7,1,3]=>[7,1,5,2,8,3,6,4]
[6,2,4,8,7,1,3,5]=>[3,6,7,1,8,2,5,4]
[6,4,2,8,7,5,3,1]=>[8,2,1,7,6,3,5,4]
[2,6,4,8,1,7,5,3]=>[8,3,2,7,1,5,6,4]
[2,6,4,1,8,7,5,3]=>[8,3,2,7,1,6,4,5]
[2,6,1,4,8,7,5,3]=>[8,7,4,1,2,6,3,5]
[2,1,6,4,8,7,5,3]=>[3,8,7,1,4,6,2,5]
[2,1,6,4,8,7,3,5]=>[7,3,8,1,4,6,2,5]
[2,6,1,4,8,7,3,5]=>[7,8,4,1,2,6,3,5]
[2,6,4,1,8,7,3,5]=>[3,7,2,8,1,6,4,5]
[2,6,4,8,1,7,3,5]=>[3,7,2,8,1,5,6,4]
[6,4,2,8,7,5,1,3]=>[2,7,1,8,6,3,5,4]
[6,2,4,8,7,3,5,1]=>[6,8,3,1,7,2,5,4]
[6,2,4,8,7,3,1,5]=>[7,3,6,1,8,2,5,4]
[1,6,4,7,3,8,2,5]=>[3,5,2,7,4,8,1,6]
[1,3,7,4,5,8,2,6]=>[4,5,7,2,3,8,1,6]
[5,2,4,7,3,6,8,1]=>[3,5,1,6,2,4,8,7]
[1,7,6,3,4,8,2,5]=>[4,5,7,3,2,8,1,6]
[8,1,6,3,7,2,4,5]=>[4,6,7,3,8,2,5,1]
[7,1,6,3,8,2,4,5]=>[4,6,7,3,8,2,1,5]
[1,2,7,4,8,3,5,6]=>[4,6,7,3,8,1,2,5]
[6,1,7,3,4,8,2,5]=>[4,5,7,3,1,8,2,6]
[2,1,7,4,5,8,3,6]=>[4,5,7,1,3,8,2,6]
[4,3,1,7,5,8,2,6]=>[2,1,5,7,4,8,3,6]
[2,8,6,3,7,1,4,5]=>[4,6,7,3,8,1,5,2]
[6,8,1,3,7,2,4,5]=>[4,6,7,1,8,3,5,2]
[5,8,2,1,7,3,4,6]=>[3,6,1,7,8,4,5,2]
[5,7,2,1,8,3,4,6]=>[3,6,1,7,8,4,2,5]
[4,3,6,1,5,8,2,7]=>[2,1,5,7,3,8,4,6]
[2,6,1,4,5,8,3,7]=>[4,5,7,1,2,8,3,6]
[6,5,1,3,4,8,2,7]=>[4,5,7,2,1,8,3,6]
[1,6,2,4,8,3,5,7]=>[4,6,7,2,8,1,3,5]
[6,4,2,1,5,8,3,7]=>[3,5,2,7,1,8,4,6]
[2,5,3,4,1,8,6,7]=>[3,4,1,2,7,8,5,6]
[4,3,5,2,1,8,6,7]=>[2,1,4,3,7,8,5,6]
[1,6,4,8,7,2,3,5]=>[3,6,2,7,8,5,1,4]
[2,7,8,3,6,1,4,5]=>[4,6,7,2,8,1,5,3]
[4,8,2,5,1,3,7,6]=>[1,8,3,5,4,6,7,2]
[4,7,2,5,1,3,8,6]=>[1,8,3,5,4,6,2,7]
[3,7,2,1,5,4,8,6]=>[1,3,5,8,4,6,2,7]
[3,8,2,1,5,4,7,6]=>[1,3,5,8,4,6,7,2]
[8,3,2,1,5,4,6,7]=>[3,2,6,4,5,7,8,1]
[8,3,2,1,6,4,5,7]=>[3,2,6,7,4,5,8,1]
[8,4,2,5,1,6,3,7]=>[7,3,2,5,4,6,8,1]
[8,3,2,1,5,6,4,7]=>[3,2,5,7,4,6,8,1]
[8,3,2,1,4,6,5,7]=>[3,2,7,4,5,6,8,1]
[3,8,2,1,4,5,7,6]=>[1,3,8,4,5,6,7,2]
[3,7,2,1,4,5,8,6]=>[1,3,8,4,5,6,2,7]
[3,2,7,1,4,6,8,5]=>[1,6,8,2,4,5,3,7]
[3,2,8,1,4,6,7,5]=>[1,6,8,2,4,5,7,3]
[3,2,8,1,4,7,6,5]=>[8,1,7,2,4,5,6,3]
[3,8,2,1,4,7,5,6]=>[1,3,7,8,4,5,6,2]
[3,8,2,1,5,7,4,6]=>[1,3,5,7,8,4,6,2]
[4,8,2,5,1,7,3,6]=>[1,7,3,4,8,5,6,2]
[4,7,2,5,1,8,3,6]=>[1,7,3,4,8,5,2,6]
[3,7,2,1,5,8,4,6]=>[1,3,5,7,8,4,2,6]
[3,7,2,1,4,8,5,6]=>[1,3,7,8,4,5,2,6]
[3,2,1,7,5,8,6,4]=>[8,1,5,2,4,7,3,6]
[3,2,7,1,6,8,4,5]=>[7,1,5,8,2,4,3,6]
[4,2,7,6,1,8,3,5]=>[1,7,8,5,2,4,3,6]
[4,3,7,6,8,1,2,5]=>[1,6,7,2,4,3,8,5]
[4,3,8,6,7,1,2,5]=>[1,6,7,2,4,8,5,3]
[4,2,8,6,1,7,3,5]=>[1,7,8,5,2,4,6,3]
[3,2,8,1,6,7,4,5]=>[7,1,5,8,2,4,6,3]
[3,2,1,8,7,5,6,4]=>[6,8,1,7,2,5,3,4]
[3,8,2,1,7,4,5,6]=>[1,3,6,7,8,4,5,2]
[3,2,8,1,7,4,6,5]=>[8,1,6,7,2,4,5,3]
[3,2,8,1,6,4,7,5]=>[8,1,6,2,4,5,7,3]
[3,2,7,1,6,4,8,5]=>[8,1,6,2,4,5,3,7]
[4,2,7,6,1,3,8,5]=>[1,8,5,6,2,4,3,7]
[4,2,8,6,1,3,7,5]=>[1,8,5,6,2,4,7,3]
[4,2,8,7,1,3,6,5]=>[1,8,5,6,7,2,4,3]
[5,7,8,3,4,1,2,6]=>[1,6,4,7,5,2,8,3]
[4,2,7,8,1,3,6,5]=>[1,8,5,6,2,3,7,4]
[4,2,6,8,1,3,7,5]=>[1,8,5,2,3,6,7,4]
[4,2,6,7,1,3,8,5]=>[1,8,5,2,3,6,4,7]
[3,2,6,1,8,4,7,5]=>[8,1,6,2,3,7,4,5]
[3,7,2,1,8,4,5,6]=>[1,3,6,7,8,4,2,5]
[3,7,2,1,8,5,4,6]=>[7,1,3,6,8,4,2,5]
[4,7,3,8,5,1,2,6]=>[1,3,6,7,5,2,8,4]
[4,3,7,8,6,1,2,5]=>[1,6,7,2,3,8,5,4]
[3,2,7,1,8,6,4,5]=>[7,8,1,6,2,4,3,5]
[3,2,1,6,8,5,7,4]=>[1,4,6,8,2,7,3,5]
[3,2,6,1,8,7,4,5]=>[7,1,3,8,2,6,4,5]
[4,2,6,8,1,7,3,5]=>[1,7,3,8,2,5,6,4]
[4,3,6,8,7,1,2,5]=>[1,6,2,3,7,8,5,4]
[4,2,6,7,1,8,3,5]=>[1,7,3,8,2,5,4,6]
[3,2,6,1,7,8,4,5]=>[7,1,5,2,3,8,4,6]
[3,4,6,8,7,5,1,2]=>[3,7,8,1,2,6,5,4]
[5,3,6,4,8,7,1,2]=>[4,2,1,3,7,8,6,5]
[1,4,6,2,7,8,5,3]=>[5,2,3,8,7,1,4,6]
[3,1,8,5,4,2,6,7]=>[6,1,5,4,7,8,2,3]
[1,2,7,5,4,8,6,3]=>[4,8,5,3,7,1,2,6]
[6,3,7,5,4,8,1,2]=>[7,5,2,1,4,3,8,6]
[7,3,8,5,4,6,1,2]=>[7,5,2,4,1,8,6,3]
[3,8,7,5,4,6,1,2]=>[7,5,4,8,1,6,3,2]
[4,3,6,7,8,5,1,2]=>[1,3,7,2,4,8,6,5]
[4,5,6,3,8,7,1,2]=>[1,2,4,3,7,8,6,5]
[3,6,8,5,4,7,1,2]=>[2,7,5,1,4,8,6,3]
[6,8,3,5,4,7,1,2]=>[7,3,1,5,4,8,6,2]
[7,6,3,5,4,8,1,2]=>[7,3,5,4,2,1,8,6]
[1,6,2,5,4,8,7,3]=>[4,8,5,2,7,1,3,6]
[7,1,2,5,8,3,6,4]=>[4,8,6,7,2,3,1,5]
[1,8,2,5,7,3,6,4]=>[4,8,6,7,3,5,1,2]
[6,2,1,5,4,8,7,3]=>[4,8,2,5,1,7,3,6]
[4,1,6,2,8,7,5,3]=>[1,3,8,7,6,2,4,5]
[7,8,1,2,4,6,5,3]=>[8,5,7,3,4,1,6,2]
[7,8,3,1,4,2,6,5]=>[5,3,8,4,6,1,7,2]
[4,3,6,1,8,2,7,5]=>[1,8,2,6,3,7,4,5]
[2,3,8,5,4,1,6,7]=>[6,5,1,2,4,7,8,3]
[4,8,1,5,2,3,7,6]=>[1,8,5,3,4,6,7,2]
[7,5,1,6,4,3,2,8]=>[7,6,5,3,2,4,1,8]
[5,8,1,6,4,3,2,7]=>[1,7,6,5,3,4,8,2]
[6,1,5,7,4,3,2,8]=>[3,7,6,5,2,1,4,8]
[1,5,8,6,4,3,2,7]=>[7,2,6,5,4,8,1,3]
[3,4,6,1,5,8,2,7]=>[1,2,5,7,3,8,4,6]
[7,8,4,1,5,3,2,6]=>[7,6,4,3,5,1,8,2]
[7,8,5,1,6,3,2,4]=>[7,6,8,4,3,1,5,2]
[2,6,1,5,7,3,8,4]=>[4,8,6,1,3,2,5,7]
[1,6,8,7,4,3,2,5]=>[2,7,6,5,8,4,1,3]
[6,8,1,7,4,3,2,5]=>[7,6,5,1,8,3,4,2]
[5,6,1,7,4,3,2,8]=>[1,7,6,5,3,2,4,8]
[5,1,7,6,4,3,2,8]=>[1,7,6,5,4,2,3,8]
[6,1,7,8,4,3,2,5]=>[7,6,5,3,1,8,2,4]
[7,1,8,6,4,3,2,5]=>[7,6,5,8,4,2,1,3]
[1,8,7,6,4,3,2,5]=>[7,6,5,8,4,3,1,2]
[2,1,7,5,6,3,8,4]=>[4,8,6,1,5,2,3,7]
[3,1,6,7,5,8,2,4]=>[3,7,1,5,4,8,2,6]
[7,8,1,6,5,3,2,4]=>[7,6,8,5,3,1,4,2]
[7,8,2,1,4,5,6,3]=>[3,5,6,8,4,1,7,2]
[2,8,1,5,4,6,7,3]=>[5,4,6,8,1,3,7,2]
[7,2,1,5,4,6,8,3]=>[5,2,4,6,8,3,1,7]
[1,2,8,5,6,3,7,4]=>[4,8,6,5,7,1,2,3]
[6,1,2,5,7,3,8,4]=>[4,8,6,2,3,1,5,7]
[4,2,1,5,6,3,7,8]=>[2,4,1,6,3,5,7,8]
[4,3,6,1,5,7,2,8]=>[2,1,5,7,4,3,6,8]
[5,1,6,3,7,8,2,4]=>[7,4,3,1,5,8,2,6]
[1,3,6,8,5,7,2,4]=>[3,7,5,8,2,6,1,4]
[2,4,6,3,7,1,8,5]=>[8,2,4,1,3,6,5,7]
[1,3,6,4,8,7,2,5]=>[7,3,8,2,4,6,1,5]
[4,1,6,7,3,8,2,5]=>[1,5,3,7,4,8,2,6]
[5,4,6,1,3,7,2,8]=>[5,2,1,7,4,3,6,8]
[6,4,1,5,2,3,7,8]=>[5,6,3,2,4,1,7,8]
[4,1,7,5,2,3,8,6]=>[1,8,5,4,6,2,3,7]
[1,2,4,5,8,3,7,6]=>[8,3,4,6,7,1,2,5]
[7,2,3,5,4,1,8,6]=>[5,2,3,4,8,6,1,7]
[2,8,3,5,4,1,7,6]=>[5,3,4,8,1,6,7,2]
[4,2,6,3,8,1,7,5]=>[1,8,4,2,3,6,7,5]
[7,8,2,3,4,1,6,5]=>[3,4,5,8,6,1,7,2]
[7,8,1,4,6,3,2,5]=>[4,7,6,8,3,1,5,2]
[3,1,6,4,7,8,2,5]=>[7,1,4,3,5,8,2,6]
[1,8,5,7,4,3,2,6]=>[3,7,6,5,8,4,1,2]
[7,1,5,8,4,3,2,6]=>[3,7,6,5,8,2,1,4]
[5,1,8,7,4,3,2,6]=>[1,7,6,5,8,4,2,3]
[6,5,1,8,4,3,2,7]=>[7,6,5,2,1,8,3,4]
[6,5,7,1,4,3,2,8]=>[7,6,4,2,1,5,3,8]
[7,5,8,1,4,3,2,6]=>[7,6,4,2,5,1,8,3]
[5,8,7,1,4,3,2,6]=>[1,7,6,4,5,8,3,2]
[1,5,7,8,4,3,2,6]=>[7,2,6,5,3,8,1,4]
[2,4,7,5,1,3,8,6]=>[8,2,5,1,4,6,3,7]
[7,8,4,6,1,3,2,5]=>[7,5,3,6,1,8,4,2]
[7,8,5,4,1,3,2,6]=>[7,5,6,4,3,1,8,2]
[3,5,6,4,1,8,2,7]=>[2,7,1,4,3,8,5,6]
[2,6,4,5,1,3,8,7]=>[3,8,5,1,4,2,6,7]
[1,6,5,8,4,3,2,7]=>[3,2,7,6,5,8,1,4]
[6,8,5,1,4,3,2,7]=>[7,6,4,1,5,3,8,2]
[7,6,5,1,4,3,2,8]=>[7,6,4,5,3,2,1,8]
[3,4,6,2,7,1,5,8]=>[1,2,4,6,3,7,5,8]
[3,6,2,5,4,1,7,8]=>[6,1,3,5,4,2,7,8]
[3,2,7,5,4,1,6,8]=>[6,1,5,2,4,7,3,8]
[4,3,6,2,8,1,5,7]=>[2,1,4,6,3,7,8,5]
[6,1,2,5,4,7,8,3]=>[5,4,6,8,2,1,3,7]
[6,2,4,5,1,3,7,8]=>[5,2,3,6,4,1,7,8]
[4,2,8,5,1,3,7,6]=>[1,8,5,2,4,6,7,3]
[4,3,6,8,1,7,2,5]=>[1,7,2,3,8,5,6,4]
[5,3,6,4,1,7,2,8]=>[7,2,1,5,4,3,6,8]
[6,2,1,5,8,3,7,4]=>[4,8,2,6,1,7,3,5]
[1,6,7,4,8,3,5,2]=>[4,2,6,3,8,7,1,5]
[1,4,6,3,7,5,8,2]=>[6,2,4,3,5,8,1,7]
[4,6,7,2,5,8,1,3]=>[7,1,4,2,5,3,8,6]
[2,4,6,1,7,5,3,8]=>[7,2,6,1,4,3,5,8]
[2,7,5,4,1,6,3,8]=>[7,5,4,1,3,6,2,8]
[7,5,4,6,2,8,1,3]=>[5,3,2,7,4,1,8,6]
[1,7,5,4,3,8,6,2]=>[4,3,8,5,2,7,1,6]
[1,4,6,3,5,8,7,2]=>[8,2,4,3,5,7,1,6]
[1,5,8,4,3,6,7,2]=>[2,5,4,6,8,7,1,3]
[5,4,6,2,7,8,1,3]=>[2,1,7,4,3,5,8,6]
[2,5,4,1,6,7,3,8]=>[5,3,1,2,7,4,6,8]
[5,6,3,2,7,1,4,8]=>[4,3,1,6,2,7,5,8]
[5,6,3,2,7,1,8,4]=>[3,1,8,4,2,6,5,7]
[8,5,6,3,2,7,1,4]=>[5,4,2,7,3,8,6,1]
[5,4,6,2,8,1,7,3]=>[2,1,8,4,3,6,7,5]
[2,4,1,7,8,5,3,6]=>[7,2,6,1,4,8,3,5]
[2,5,4,1,6,3,8,7]=>[5,3,1,2,8,4,6,7]
[5,6,3,2,1,8,4,7]=>[4,3,1,7,2,8,5,6]
[3,5,2,1,6,4,7,8]=>[1,3,6,4,2,5,7,8]
[6,8,4,3,2,1,5,7]=>[6,5,4,3,1,7,8,2]
[5,3,8,2,1,6,4,7]=>[2,4,1,7,5,6,8,3]
[3,7,5,8,2,1,4,6]=>[6,5,1,3,7,2,8,4]
[7,3,2,8,5,1,6,4]=>[8,2,6,3,5,1,7,4]
[8,4,6,3,2,1,7,5]=>[2,5,4,8,6,3,7,1]
[8,6,4,3,2,1,7,5]=>[5,4,3,8,6,2,7,1]
[7,6,4,3,2,1,8,5]=>[5,4,3,8,6,2,1,7]
[7,8,4,3,2,1,6,5]=>[5,4,3,8,6,1,7,2]
[5,4,7,2,1,8,6,3]=>[2,1,8,4,7,5,3,6]
[7,5,8,3,2,6,1,4]=>[5,4,2,7,1,8,6,3]
[5,7,3,2,1,6,8,4]=>[4,3,1,6,8,5,2,7]
[5,7,3,2,1,6,4,8]=>[4,3,1,7,5,6,2,8]
[6,3,7,2,5,1,8,4]=>[8,2,4,1,6,5,3,7]
[6,7,8,3,5,2,1,4]=>[4,1,7,6,2,8,5,3]
[6,2,5,7,8,4,1,3]=>[3,7,4,1,8,2,6,5]
[2,1,5,7,8,6,3,4]=>[7,3,4,8,1,6,2,5]
[3,6,7,2,8,1,4,5]=>[4,6,1,2,7,3,8,5]
[6,3,7,2,8,1,4,5]=>[2,4,6,1,7,3,8,5]
[3,2,6,1,7,4,5,8]=>[1,6,7,2,4,3,5,8]
[3,5,2,1,4,7,6,8]=>[1,3,7,4,2,5,6,8]
[7,3,5,2,1,8,4,6]=>[2,4,7,3,8,5,1,6]
[2,5,4,1,3,7,8,6]=>[6,3,1,2,8,4,5,7]
[2,5,8,4,1,3,7,6]=>[2,8,5,1,4,6,7,3]
[2,4,1,7,8,3,6,5]=>[8,2,6,1,4,7,3,5]
[3,7,2,8,6,1,4,5]=>[6,7,8,1,3,2,5,4]
[3,6,8,2,1,7,4,5]=>[4,7,1,2,8,5,6,3]
[5,3,8,2,1,4,7,6]=>[2,4,1,8,5,6,7,3]
[4,8,7,3,2,1,5,6]=>[6,1,5,4,7,8,3,2]
[4,7,3,2,1,5,6,8]=>[1,5,4,3,6,7,2,8]
[8,4,7,3,2,1,5,6]=>[2,6,5,4,7,8,3,1]
[8,3,5,2,1,4,7,6]=>[2,4,8,5,3,6,7,1]
[7,3,2,8,6,1,4,5]=>[2,6,7,8,3,1,5,4]
[3,5,2,1,4,6,8,7]=>[1,3,8,4,2,5,6,7]
[7,8,3,5,4,6,1,2]=>[7,3,5,4,1,8,6,2]
[8,6,3,7,5,2,4,1]=>[6,8,3,2,7,5,4,1]
[5,4,1,6,3,2,8,7]=>[5,4,2,1,8,3,6,7]
[5,4,1,6,2,3,8,7]=>[8,5,3,2,1,4,6,7]
[5,7,1,6,2,8,3,4]=>[7,1,8,5,3,4,2,6]
[5,7,1,6,2,8,4,3]=>[1,8,7,5,3,4,2,6]
[2,7,6,5,1,8,3,4]=>[7,8,5,4,1,3,2,6]
[2,7,6,5,1,8,4,3]=>[8,7,5,4,1,3,2,6]
[2,3,6,5,1,4,8,7]=>[8,5,1,2,4,3,6,7]
[2,3,6,4,1,5,8,7]=>[4,8,1,2,5,3,6,7]
[2,3,6,1,5,4,8,7]=>[5,8,1,2,4,3,6,7]
[2,7,6,1,4,8,5,3]=>[8,5,7,4,1,3,2,6]
[2,7,6,1,4,8,3,5]=>[5,7,8,4,1,3,2,6]
[7,3,5,1,8,4,2,6]=>[7,2,6,3,8,4,1,5]
[7,3,5,1,8,6,4,2]=>[3,8,2,7,6,4,1,5]
[2,7,6,1,5,8,4,3]=>[5,8,7,4,1,3,2,6]
[2,7,6,4,1,8,5,3]=>[4,8,7,5,1,3,2,6]
[2,1,7,6,3,8,5,4]=>[8,7,5,1,4,2,3,6]
[2,1,7,6,3,8,4,5]=>[7,8,5,1,4,2,3,6]
[5,7,3,6,2,8,4,1]=>[1,8,3,5,4,2,7,6]
[2,7,6,4,1,8,3,5]=>[7,4,8,5,1,3,2,6]
[7,3,5,1,8,6,2,4]=>[7,2,3,8,6,4,1,5]
[6,3,5,1,8,2,4,7]=>[2,6,7,3,1,8,4,5]
[2,3,4,8,7,6,1,5]=>[7,8,6,1,2,3,5,4]
[2,3,4,8,5,7,1,6]=>[5,7,8,1,2,3,6,4]
[7,3,5,4,8,1,2,6]=>[6,2,4,3,7,1,8,5]
[6,4,3,5,8,7,2,1]=>[2,8,3,1,4,7,6,5]
[2,1,4,5,8,7,3,6]=>[7,8,1,3,4,6,2,5]
[6,4,3,5,8,7,1,2]=>[3,2,4,1,7,8,6,5]
[7,3,5,4,8,1,6,2]=>[4,2,3,8,6,1,7,5]
[2,3,4,8,7,5,6,1]=>[6,8,7,1,2,3,5,4]
[2,3,4,8,7,5,1,6]=>[7,6,8,1,2,3,5,4]
[2,7,6,5,4,8,1,3]=>[7,5,4,3,1,2,8,6]
[7,3,5,6,8,4,1,2]=>[3,7,2,4,1,8,6,5]
[7,3,5,6,8,1,4,2]=>[3,8,2,6,4,1,7,5]
[7,3,5,6,8,1,2,4]=>[6,2,3,7,4,1,8,5]
[6,4,1,5,8,7,2,3]=>[4,2,7,1,8,6,3,5]
[6,4,1,5,8,7,3,2]=>[2,8,4,1,7,6,3,5]
[6,4,1,5,8,3,7,2]=>[4,2,6,1,8,7,3,5]
[5,7,1,6,3,8,2,4]=>[5,1,7,4,8,3,2,6]
[6,4,1,5,8,3,2,7]=>[4,2,7,6,1,8,3,5]
[7,4,1,5,8,2,3,6]=>[6,4,2,7,8,3,1,5]
[7,4,1,5,8,2,6,3]=>[4,2,8,6,7,3,1,5]
[6,3,5,7,8,2,1,4]=>[3,7,2,1,6,4,8,5]
[6,3,5,7,8,2,4,1]=>[3,6,2,1,4,8,7,5]
[2,7,6,4,5,8,3,1]=>[4,5,3,2,8,1,7,6]
[5,7,3,6,1,8,4,2]=>[1,8,3,7,5,4,2,6]
[2,1,4,5,8,6,3,7]=>[7,1,3,4,6,8,2,5]
[7,3,5,4,8,6,2,1]=>[3,8,2,4,1,7,6,5]
[2,3,4,8,5,6,1,7]=>[5,7,1,2,3,6,8,4]
[2,3,4,8,7,1,6,5]=>[8,6,7,1,2,3,5,4]
[2,3,4,8,1,7,6,5]=>[8,7,1,2,3,5,6,4]
[2,3,4,8,1,6,7,5]=>[6,8,1,2,3,5,7,4]
[2,3,4,8,5,1,7,6]=>[5,8,1,2,3,6,7,4]
[6,3,5,4,8,2,7,1]=>[4,2,3,1,6,8,7,5]
[7,4,3,5,8,2,1,6]=>[3,2,4,7,6,1,8,5]
[2,1,4,5,8,3,7,6]=>[8,1,3,4,6,7,2,5]
[7,4,3,5,8,2,6,1]=>[3,2,4,6,1,8,7,5]
[6,3,5,4,8,2,1,7]=>[4,2,3,1,7,6,8,5]
[2,3,4,8,5,1,6,7]=>[6,1,2,3,5,7,8,4]
[2,3,4,8,1,6,5,7]=>[7,1,2,3,5,6,8,4]
[2,3,4,8,1,5,7,6]=>[8,1,2,3,5,6,7,4]
[7,8,2,6,1,5,3,4]=>[7,8,3,5,1,6,4,2]
[7,8,1,6,2,5,3,4]=>[7,8,5,6,3,1,4,2]
[1,8,6,7,2,5,3,4]=>[7,8,5,3,6,4,1,2]
[1,8,5,7,2,6,3,4]=>[7,3,8,5,6,4,1,2]
[5,8,1,7,2,6,3,4]=>[7,1,8,5,6,3,4,2]
[5,8,2,7,1,6,3,4]=>[7,1,8,3,5,6,4,2]
[2,8,6,7,1,5,3,4]=>[7,8,5,3,6,1,4,2]
[2,8,5,7,1,6,3,4]=>[7,3,8,5,6,1,4,2]
[2,8,1,7,5,6,3,4]=>[7,5,8,6,1,3,4,2]
[1,8,2,7,5,6,3,4]=>[7,5,8,6,3,4,1,2]
[1,8,2,7,4,6,3,5]=>[5,7,8,6,3,4,1,2]
[2,8,1,7,4,6,3,5]=>[5,7,8,6,1,3,4,2]
[2,8,4,7,1,6,3,5]=>[3,7,8,5,6,1,4,2]
[4,8,2,7,1,6,3,5]=>[1,7,8,3,5,6,4,2]
[4,8,1,7,2,6,3,5]=>[1,7,8,5,6,3,4,2]
[1,8,4,7,2,6,3,5]=>[3,7,8,5,6,4,1,2]
[4,8,1,7,5,6,2,3]=>[7,1,5,8,6,3,4,2]
[1,8,4,7,5,6,2,3]=>[7,3,5,8,6,4,1,2]
[1,8,3,7,5,6,2,4]=>[7,5,8,3,6,4,1,2]
[3,8,1,7,5,6,2,4]=>[7,5,8,1,6,3,4,2]
[3,8,1,7,4,6,2,5]=>[5,7,8,1,6,3,4,2]
[1,8,3,7,4,6,2,5]=>[5,7,8,3,6,4,1,2]
[1,8,3,7,2,6,4,5]=>[7,8,3,5,6,4,1,2]
[3,8,1,7,2,6,4,5]=>[7,8,1,5,6,3,4,2]
[3,8,2,7,1,6,4,5]=>[7,8,1,3,5,6,4,2]
[3,8,2,7,4,6,1,5]=>[5,7,8,1,3,6,4,2]
[3,8,2,7,5,6,1,4]=>[7,5,8,1,3,6,4,2]
[4,8,2,7,5,6,1,3]=>[7,1,5,8,3,6,4,2]
[4,8,3,7,5,6,1,2]=>[7,1,3,5,8,6,4,2]
[3,8,4,7,5,6,1,2]=>[7,3,5,8,1,6,4,2]
[2,8,4,7,5,6,1,3]=>[7,3,5,8,6,1,4,2]
[2,8,3,7,5,6,1,4]=>[7,5,8,3,6,1,4,2]
[2,8,3,7,4,6,1,5]=>[5,7,8,3,6,1,4,2]
[2,8,3,7,1,6,4,5]=>[7,8,3,5,6,1,4,2]
[2,8,1,7,3,6,4,5]=>[7,8,5,6,1,3,4,2]
[7,5,2,8,6,4,1,3]=>[7,2,8,6,3,1,5,4]
[7,5,1,8,6,2,3,4]=>[6,7,2,8,5,3,1,4]
[7,4,8,6,1,5,2,3]=>[2,7,8,5,1,6,4,3]
[7,1,8,4,5,2,6,3]=>[4,8,6,5,7,2,1,3]
[6,8,1,7,4,2,5,3]=>[8,6,5,1,7,3,4,2]
[1,6,7,4,2,8,5,3]=>[4,2,8,7,5,1,3,6]
[1,6,7,3,8,5,2,4]=>[7,2,8,4,3,6,1,5]
[7,1,8,3,5,6,2,4]=>[7,4,5,8,6,2,1,3]
[7,3,8,6,2,5,1,4]=>[5,7,8,2,1,6,4,3]
[7,4,2,8,6,1,3,5]=>[6,2,7,8,3,1,5,4]
[7,3,1,8,4,2,5,6]=>[2,6,5,7,8,3,1,4]
[7,2,8,4,1,5,3,6]=>[7,5,2,4,6,1,8,3]
[7,2,8,3,5,1,6,4]=>[8,4,6,2,5,1,7,3]
[7,2,8,3,4,6,1,5]=>[4,5,7,8,2,1,6,3]
[1,5,7,8,2,6,3,4]=>[2,7,8,5,3,6,1,4]
[6,2,3,8,5,7,4,1]=>[5,8,7,2,1,3,6,4]
[6,2,4,8,5,3,1,7]=>[7,3,6,2,1,5,8,4]
[6,3,1,4,8,5,2,7]=>[2,7,4,6,1,8,3,5]
[2,6,3,7,8,5,4,1]=>[4,2,8,7,1,3,6,5]
[2,6,3,7,8,4,5,1]=>[6,4,2,8,1,3,7,5]
[2,4,7,3,5,6,8,1]=>[2,4,5,6,1,3,8,7]
[2,4,7,3,6,8,5,1]=>[5,8,2,4,1,3,7,6]
[2,5,3,7,8,1,6,4]=>[2,8,6,1,3,4,7,5]
[3,1,5,4,7,8,2,6]=>[1,3,7,4,5,8,2,6]
[5,3,1,4,8,2,6,7]=>[4,2,6,1,7,8,3,5]
[5,2,4,8,6,1,3,7]=>[3,6,1,7,2,5,8,4]
[5,2,3,8,4,6,7,1]=>[5,6,1,8,2,3,7,4]
[4,8,2,3,6,1,7,5]=>[1,8,3,4,6,5,7,2]
[4,8,2,3,5,7,1,6]=>[3,1,4,5,7,8,6,2]
[1,4,7,8,3,6,2,5]=>[5,7,2,3,8,6,1,4]
[4,8,1,3,6,7,2,5]=>[1,7,4,5,8,3,6,2]
[5,3,8,2,4,7,1,6]=>[2,4,1,5,7,8,6,3]
[5,4,3,8,1,2,7,6]=>[3,2,1,8,5,6,7,4]
[6,4,2,8,1,3,7,5]=>[8,3,2,5,1,6,7,4]
[6,3,8,2,5,1,7,4]=>[8,2,4,1,6,5,7,3]
[6,3,8,1,4,7,2,5]=>[2,5,7,1,8,4,6,3]
[5,8,1,3,6,2,7,4]=>[8,4,1,6,3,5,7,2]
[1,5,7,4,2,6,8,3]=>[2,6,4,8,5,1,3,7]
[5,8,1,4,2,6,3,7]=>[7,5,3,1,4,6,8,2]
[5,8,4,1,2,7,6,3]=>[1,8,7,4,3,5,6,2]
[6,5,1,2,8,7,3,4]=>[7,8,6,3,2,1,4,5]
[6,5,3,1,4,2,8,7]=>[5,3,8,4,2,1,6,7]
[5,3,1,6,4,2,7,8]=>[2,6,5,3,1,4,7,8]
[5,2,6,4,1,7,3,8]=>[7,5,2,1,4,3,6,8]
[4,6,1,7,5,2,8,3]=>[8,1,6,5,3,2,4,7]
[4,5,1,7,2,6,3,8]=>[1,7,5,2,6,3,4,8]
[3,5,6,1,2,8,7,4]=>[2,8,1,7,4,3,5,6]
[3,5,7,1,8,6,2,4]=>[2,7,8,1,6,4,3,5]
[3,6,2,7,5,1,8,4]=>[8,6,1,3,2,5,4,7]
[4,2,5,7,1,8,6,3]=>[1,8,3,7,2,5,4,6]
[3,4,7,2,8,6,1,5]=>[7,8,1,2,4,3,6,5]
[3,4,5,8,2,7,1,6]=>[1,2,3,5,7,8,6,4]
[3,4,6,2,8,1,5,7]=>[1,2,4,6,3,7,8,5]
[3,5,2,6,8,1,7,4]=>[4,1,2,8,3,6,7,5]
[4,2,5,6,1,3,8,7]=>[3,1,8,2,5,4,6,7]
[4,3,1,2,5,6,8,7]=>[8,3,2,1,4,5,6,7]
[5,3,6,8,4,7,2,1]=>[3,1,5,8,2,7,6,4]
[3,7,2,5,4,8,6,1]=>[4,8,1,3,5,2,7,6]
[8,4,2,5,7,3,6,1]=>[4,2,6,8,3,7,5,1]
[4,7,2,5,8,3,6,1]=>[1,4,6,8,3,2,7,5]
[5,2,6,8,4,3,7,1]=>[3,1,6,5,8,2,7,4]
[3,1,6,5,4,8,2,7]=>[5,1,4,3,7,8,2,6]
[4,1,6,5,8,3,2,7]=>[1,4,3,7,6,8,2,5]
[5,1,6,8,4,3,2,7]=>[3,1,7,6,5,8,2,4]
[8,5,4,7,6,3,2,1]=>[2,8,3,7,6,5,4,1]
[5,7,1,8,4,3,2,6]=>[1,7,6,5,8,3,2,4]
[2,7,1,5,4,3,8,6]=>[5,4,8,1,3,6,2,7]
[8,2,1,5,4,3,7,6]=>[5,2,4,8,3,6,7,1]
[8,4,1,5,7,3,2,6]=>[4,2,7,6,8,3,5,1]
[8,5,6,7,1,3,2,4]=>[7,5,2,6,3,8,4,1]
[8,4,6,1,7,3,2,5]=>[2,7,6,8,4,3,5,1]
[8,3,6,1,4,7,2,5]=>[2,5,7,8,4,3,6,1]
[2,7,6,1,4,3,8,5]=>[5,8,4,6,1,3,2,7]
[6,7,8,5,1,3,2,4]=>[7,5,1,6,2,8,4,3]
[5,7,6,8,2,3,4,1]=>[1,5,6,3,2,8,7,4]
[5,7,2,8,4,3,6,1]=>[1,6,5,8,3,2,7,4]
[6,7,8,2,4,3,5,1]=>[6,4,1,5,2,8,7,3]
[4,7,6,2,8,3,5,1]=>[6,8,1,4,3,2,7,5]
[8,3,6,2,4,7,5,1]=>[8,2,4,5,3,7,6,1]
[3,7,6,2,4,8,5,1]=>[8,4,5,1,3,2,7,6]
[5,7,3,8,4,6,2,1]=>[1,5,8,3,2,7,6,4]
[4,7,3,5,8,6,2,1]=>[8,1,3,4,2,7,6,5]
[8,7,2,1,4,3,6,5]=>[3,5,8,4,6,7,2,1]
[8,7,3,1,4,6,2,5]=>[5,3,7,8,4,6,2,1]
[8,7,6,3,2,5,4,1]=>[4,8,5,7,6,3,2,1]
[8,7,3,5,1,6,2,4]=>[3,7,8,5,4,6,2,1]
[8,7,2,5,1,3,6,4]=>[8,3,5,6,4,7,2,1]
[8,2,6,5,1,3,7,4]=>[8,5,6,2,4,3,7,1]
[8,4,6,5,7,1,2,3]=>[2,6,7,4,3,8,5,1]
[5,7,6,8,4,1,2,3]=>[1,6,7,3,2,8,5,4]
[4,7,6,5,8,1,2,3]=>[6,7,1,4,3,2,8,5]
[3,7,6,5,1,8,2,4]=>[7,8,5,1,4,3,2,6]
[3,6,4,8,7,5,1,2]=>[7,2,8,1,3,6,5,4]
[5,6,4,3,8,7,1,2]=>[1,4,3,2,7,8,6,5]
[1,6,2,4,7,8,5,3]=>[5,8,4,2,7,1,3,6]
[3,6,2,4,8,1,5,7]=>[1,3,4,6,2,7,8,5]
[3,4,7,2,8,1,6,5]=>[8,1,2,4,6,3,7,5]
[1,4,7,2,5,8,6,3]=>[8,2,5,7,4,1,3,6]
[7,3,8,4,5,6,1,2]=>[4,7,2,5,1,8,6,3]
[3,5,6,4,8,7,1,2]=>[2,4,1,3,7,8,6,5]
[4,6,8,5,3,7,1,2]=>[2,7,1,5,4,8,6,3]
[6,8,5,3,4,7,1,2]=>[4,1,7,5,3,8,6,2]
[1,6,5,4,2,8,7,3]=>[4,3,2,8,7,1,5,6]
[1,8,5,2,7,3,6,4]=>[8,6,3,7,4,5,1,2]
[4,2,7,5,1,8,6,3]=>[1,4,8,7,2,5,3,6]
[7,8,1,4,2,6,5,3]=>[4,8,7,3,5,1,6,2]
[1,3,6,4,8,2,5,7]=>[4,6,2,3,7,8,1,5]
[4,1,7,5,3,2,6,8]=>[1,6,5,4,7,2,3,8]
[6,5,1,3,4,2,8,7]=>[4,5,8,3,2,1,6,7]
[4,8,5,3,1,7,2,6]=>[7,1,4,3,8,5,6,2]
[7,4,5,3,2,8,1,6]=>[2,5,4,3,7,1,8,6]
[5,8,3,6,1,4,2,7]=>[3,1,7,5,6,4,8,2]
[2,5,8,6,4,1,3,7]=>[2,6,7,5,1,4,8,3]
[1,4,6,2,5,8,3,7]=>[2,5,7,3,8,1,4,6]
[3,6,2,5,8,1,7,4]=>[4,8,1,3,2,6,7,5]
[1,6,8,7,4,2,3,5]=>[6,2,7,5,8,4,1,3]
[6,1,7,8,2,4,3,5]=>[7,5,6,3,1,8,2,4]
[7,1,8,6,3,4,2,5]=>[5,7,6,8,4,2,1,3]
[7,2,1,4,5,6,8,3]=>[2,4,5,6,8,3,1,7]
[1,2,8,3,6,5,7,4]=>[6,5,8,4,7,1,2,3]
[6,1,3,2,7,5,8,4]=>[6,3,5,8,2,1,4,7]
[1,6,3,8,5,7,2,4]=>[7,5,2,8,3,6,1,4]
[2,6,4,1,7,5,8,3]=>[3,6,5,1,2,8,4,7]
[7,6,5,8,1,4,2,3]=>[7,8,5,3,2,1,6,4]
[5,8,6,7,3,2,1,4]=>[7,1,6,5,3,8,4,2]
[1,6,4,3,7,2,8,5]=>[3,8,4,2,6,1,5,7]
[2,6,3,4,8,7,1,5]=>[7,8,3,1,2,4,6,5]
[7,1,3,4,5,2,8,6]=>[3,4,5,8,2,6,1,7]
[1,8,3,5,4,2,7,6]=>[5,3,4,8,6,7,1,2]
[4,1,6,3,8,2,7,5]=>[1,8,4,3,6,7,2,5]
[7,8,2,4,6,3,1,5]=>[4,7,3,6,1,8,5,2]
[3,2,6,4,7,8,1,5]=>[7,1,4,2,3,5,8,6]
[2,8,5,7,4,3,1,6]=>[3,7,6,5,8,1,4,2]
[7,2,5,8,3,4,1,6]=>[5,3,7,2,6,1,8,4]
[5,3,8,7,1,2,6,4]=>[8,2,1,5,6,7,4,3]
[6,5,3,8,2,1,7,4]=>[3,5,2,1,8,6,7,4]
[7,5,8,4,1,2,3,6]=>[5,6,2,7,4,1,8,3]
[5,8,7,4,1,3,2,6]=>[1,7,5,6,4,8,3,2]
[3,5,7,8,4,1,2,6]=>[2,6,7,1,5,3,8,4]
[1,4,7,5,3,8,2,6]=>[5,2,4,7,3,8,1,6]
[2,4,6,7,3,1,8,5]=>[5,2,3,8,1,6,4,7]
[7,8,4,6,3,1,2,5]=>[6,3,7,5,1,8,4,2]
[2,6,4,5,3,8,1,7]=>[3,5,4,1,2,7,8,6]
[3,6,5,8,4,2,1,7]=>[3,2,7,1,6,5,8,4]
[5,6,8,4,2,3,1,7]=>[1,5,2,7,6,4,8,3]
[6,8,5,4,3,1,2,7]=>[6,1,7,5,4,3,8,2]
[6,1,4,2,8,5,7,3]=>[3,6,8,7,2,1,4,5]
[4,8,6,5,3,2,7,1]=>[6,5,1,4,3,8,7,2]
[8,6,5,1,2,4,7,3]=>[6,8,4,5,3,2,7,1]
[6,7,5,8,2,1,4,3]=>[5,1,8,6,3,2,7,4]
[1,7,5,8,2,6,4,3]=>[3,8,7,5,2,6,1,4]
[1,3,8,5,7,6,2,4]=>[4,7,8,6,2,5,1,3]
[6,3,8,5,7,1,2,4]=>[6,7,2,1,4,8,5,3]
[8,3,1,5,6,2,7,4]=>[2,4,8,6,3,5,7,1]
[6,8,5,2,1,4,7,3]=>[4,6,1,8,5,3,7,2]
[3,8,2,5,6,1,7,4]=>[4,8,1,3,6,5,7,2]
[2,8,1,5,6,3,7,4]=>[4,8,6,1,3,5,7,2]
[8,1,2,5,6,3,7,4]=>[4,8,6,2,3,5,7,1]
[1,8,2,5,7,6,3,4]=>[4,7,8,6,3,5,1,2]
[5,1,8,6,2,7,3,4]=>[7,1,8,5,4,6,2,3]
[2,5,8,6,1,7,3,4]=>[2,7,8,5,1,4,6,3]
[8,6,1,5,7,2,3,4]=>[6,7,4,8,3,2,5,1]
[3,8,6,5,7,1,2,4]=>[6,7,4,1,3,8,5,2]
[7,6,5,8,1,2,4,3]=>[8,5,6,3,2,1,7,4]
[5,1,7,6,8,4,2,3]=>[1,7,4,3,8,6,2,5]
[5,1,3,7,8,6,2,4]=>[7,4,1,8,3,6,2,5]
[7,2,5,8,1,6,4,3]=>[3,8,7,2,5,1,6,4]
[3,2,8,5,7,6,1,4]=>[4,7,8,1,6,2,5,3]
[8,2,1,5,7,6,3,4]=>[4,7,8,2,6,3,5,1]
[5,2,8,6,1,7,3,4]=>[7,1,8,5,2,4,6,3]
[1,2,8,6,5,7,3,4]=>[7,5,4,8,6,1,2,3]
[4,2,1,3,6,7,8,5]=>[2,5,1,6,8,3,4,7]
[8,2,5,6,3,7,1,4]=>[5,3,7,2,4,8,6,1]
[7,2,6,5,4,1,8,3]=>[8,6,5,2,4,3,1,7]
[6,1,3,5,4,7,8,2]=>[5,3,4,6,1,8,2,7]
[6,1,5,3,4,7,8,2]=>[4,5,3,6,1,8,2,7]
[7,5,6,2,4,1,8,3]=>[8,4,2,6,5,3,1,7]
[8,5,2,6,3,7,1,4]=>[5,7,3,2,4,8,6,1]
[4,3,1,2,6,7,8,5]=>[5,2,1,6,8,3,4,7]
[8,1,6,5,7,3,2,4]=>[7,6,4,3,8,2,5,1]
[3,5,8,6,2,7,1,4]=>[2,5,7,1,4,8,6,3]
[5,8,1,6,3,7,2,4]=>[5,1,7,4,8,3,6,2]
[1,8,5,6,3,7,2,4]=>[5,3,7,4,8,6,1,2]
[1,7,6,5,4,2,8,3]=>[8,6,5,4,3,1,2,7]
[5,7,6,1,4,2,8,3]=>[1,8,6,4,5,3,2,7]
[7,1,4,2,6,5,8,3]=>[3,6,5,8,2,4,1,7]
[4,1,7,3,5,6,8,2]=>[4,1,5,6,3,8,2,7]
[2,7,4,1,5,6,8,3]=>[5,3,6,8,1,4,2,7]
[5,7,6,4,1,2,8,3]=>[1,8,5,6,4,3,2,7]
[4,7,6,1,5,2,8,3]=>[8,1,6,4,5,3,2,7]
[1,7,6,4,5,2,8,3]=>[4,8,6,5,3,1,2,7]
[1,8,3,6,5,7,2,4]=>[7,5,3,4,8,6,1,2]
[3,8,1,6,5,7,2,4]=>[7,5,1,4,8,3,6,2]
[8,1,3,5,7,6,2,4]=>[4,7,8,3,6,2,5,1]
[7,8,5,4,1,6,2,3]=>[7,8,5,4,3,1,6,2]
[6,1,5,4,3,7,8,2]=>[5,4,3,6,1,8,2,7]
[7,5,6,4,2,1,8,3]=>[5,2,8,6,4,3,1,7]
[8,3,2,6,5,7,1,4]=>[7,2,5,3,4,8,6,1]
[7,4,6,2,5,1,8,3]=>[2,8,4,6,5,3,1,7]
[6,1,4,3,5,7,8,2]=>[4,3,5,6,1,8,2,7]
[6,1,3,4,5,7,8,2]=>[3,4,5,6,1,8,2,7]
[7,2,6,4,5,1,8,3]=>[4,8,6,2,5,3,1,7]
[8,2,3,6,5,7,1,4]=>[7,5,2,3,4,8,6,1]
[5,4,7,3,6,8,1,2]=>[2,1,4,7,5,3,8,6]
[3,4,7,8,5,6,1,2]=>[7,5,1,2,3,8,6,4]
[3,4,7,2,5,1,6,8]=>[1,2,4,6,5,7,3,8]
[1,4,7,2,5,8,3,6]=>[2,5,7,8,4,1,3,6]
[3,6,2,4,7,1,5,8]=>[1,3,4,6,2,7,5,8]
[6,8,3,4,5,7,1,2]=>[3,4,1,7,5,8,6,2]
[4,3,6,7,5,8,1,2]=>[1,3,7,2,5,4,8,6]
[6,3,7,5,8,4,1,2]=>[7,4,2,1,3,8,6,5]
[7,3,8,6,4,5,1,2]=>[7,5,8,2,1,6,4,3]
[3,2,7,6,5,1,4,8]=>[6,7,1,5,2,4,3,8]
[1,2,7,6,5,8,3,4]=>[7,5,4,3,8,1,2,6]
[4,8,2,6,1,5,3,7]=>[1,7,3,5,6,4,8,2]
[2,3,8,6,4,1,5,7]=>[6,5,7,1,2,4,8,3]
[4,3,6,2,5,1,8,7]=>[2,1,4,5,3,8,6,7]
[7,8,3,2,5,1,4,6]=>[4,3,6,7,5,1,8,2]
[7,8,1,2,5,6,3,4]=>[7,5,8,3,4,1,6,2]
[4,1,6,2,5,7,3,8]=>[5,1,7,4,2,3,6,8]
[6,1,2,5,8,7,3,4]=>[4,7,8,6,2,1,3,5]
[2,1,8,6,4,7,3,5]=>[5,7,4,8,1,6,2,3]
[7,1,3,6,8,4,2,5]=>[7,6,3,4,8,2,1,5]
[1,8,3,6,7,4,5,2]=>[6,4,8,3,7,5,1,2]
[7,1,5,8,3,6,2,4]=>[5,3,7,8,6,2,1,4]
[5,1,8,7,2,3,6,4]=>[8,5,1,6,7,4,2,3]
[6,1,5,7,4,2,8,3]=>[3,8,6,5,2,1,4,7]
[3,1,6,4,7,2,5,8]=>[1,4,6,3,7,2,5,8]
[2,4,7,5,1,8,3,6]=>[7,2,4,8,1,5,3,6]
[6,5,7,1,4,2,3,8]=>[6,7,4,2,1,5,3,8]
[5,6,8,1,3,2,4,7]=>[6,4,1,5,2,7,8,3]
[6,8,5,1,3,4,2,7]=>[5,7,4,1,6,3,8,2]
[2,8,3,4,5,1,7,6]=>[3,4,5,8,1,6,7,2]
[6,2,4,3,1,5,7,8]=>[5,2,4,3,6,1,7,8]
[4,2,8,3,1,7,5,6]=>[4,1,7,8,2,5,6,3]
[1,3,7,4,8,2,5,6]=>[4,6,7,2,3,8,1,5]
[5,3,7,4,1,6,2,8]=>[7,2,1,5,4,6,3,8]
[2,4,7,3,6,1,8,5]=>[8,2,4,6,1,5,3,7]
[5,8,7,6,3,1,2,4]=>[1,6,7,5,8,4,3,2]
[7,5,6,8,1,4,3,2]=>[2,8,7,5,3,1,6,4]
[2,4,7,1,6,5,3,8]=>[7,2,6,1,4,5,3,8]
[1,2,7,8,5,4,3,6]=>[7,6,5,3,8,1,2,4]
[6,3,1,2,8,4,5,7]=>[6,2,7,8,3,1,4,5]
[4,2,1,3,6,5,8,7]=>[2,5,1,8,3,4,6,7]
[2,8,1,4,5,6,3,7]=>[4,5,7,1,3,6,8,2]
[7,2,1,5,4,6,3,8]=>[5,2,4,7,3,6,1,8]
[4,2,6,1,8,5,3,7]=>[1,7,6,2,3,8,4,5]
[7,8,2,1,4,5,3,6]=>[3,5,7,4,6,1,8,2]
[7,8,4,1,5,3,6,2]=>[6,5,3,8,4,1,7,2]
[3,4,6,1,5,8,7,2]=>[8,1,2,5,3,7,4,6]
[7,5,1,6,4,3,8,2]=>[6,5,4,2,8,3,1,7]
[5,8,1,6,3,4,7,2]=>[5,1,6,4,8,3,7,2]
[6,5,1,8,2,7,4,3]=>[8,7,5,2,1,6,3,4]
[6,8,1,7,5,2,3,4]=>[6,7,1,8,5,3,4,2]
[7,6,1,8,5,3,2,4]=>[7,6,8,5,3,2,1,4]
[5,6,1,7,4,8,2,3]=>[1,7,5,4,2,8,3,6]
[3,6,1,5,7,4,2,8]=>[4,7,1,6,3,2,5,8]
[2,5,6,1,7,4,8,3]=>[2,6,5,1,3,8,4,7]
[3,1,7,5,6,4,8,2]=>[4,6,1,5,3,8,2,7]
[5,1,7,6,4,8,3,2]=>[1,5,4,3,8,7,2,6]
[6,1,7,8,5,3,4,2]=>[6,3,1,8,7,5,2,4]
[7,1,8,6,5,4,2,3]=>[7,8,6,5,4,2,1,3]
[2,6,5,7,3,4,8,1]=>[5,3,2,6,1,4,8,7]
[1,6,4,7,5,8,2,3]=>[7,3,2,5,4,8,1,6]
[1,3,7,4,6,8,2,5]=>[7,4,5,2,3,8,1,6]
[4,7,5,6,3,2,8,1]=>[3,6,1,5,4,2,8,7]
[8,1,6,5,7,2,4,3]=>[8,6,4,3,7,2,5,1]
[1,2,7,6,8,3,4,5]=>[6,7,4,3,8,1,2,5]
[3,8,6,4,2,7,5,1]=>[4,8,5,1,3,7,6,2]
[7,8,1,6,2,4,5,3]=>[6,8,5,7,3,1,4,2]
[3,8,4,1,7,2,6,5]=>[3,8,1,6,7,4,5,2]
[5,4,7,1,8,3,2,6]=>[2,1,7,6,8,4,3,5]
[3,7,4,1,8,5,2,6]=>[3,7,1,6,8,4,2,5]
[6,7,1,4,8,3,2,5]=>[4,7,6,1,8,3,2,5]
[2,7,1,8,4,5,3,6]=>[5,7,6,8,1,3,2,4]
[8,4,2,1,7,3,6,5]=>[8,3,2,6,7,4,5,1]
[7,4,2,1,8,5,3,6]=>[7,3,2,6,8,4,1,5]
[1,5,4,2,8,3,6,7]=>[6,3,2,7,8,1,4,5]
[6,4,3,1,5,8,2,7]=>[5,3,2,7,1,8,4,6]
[3,7,6,8,4,5,2,1]=>[5,3,2,8,1,7,6,4]
[1,7,6,8,5,4,2,3]=>[7,3,2,8,6,5,1,4]
[2,4,8,6,7,3,5,1]=>[6,4,8,2,7,1,5,3]
[3,4,8,5,6,7,2,1]=>[4,5,8,1,2,7,6,3]
[6,3,5,8,4,7,2,1]=>[3,5,1,8,2,7,6,4]
[5,4,3,8,6,7,2,1]=>[2,1,5,8,3,7,6,4]
[6,2,5,8,7,3,4,1]=>[3,6,1,8,7,2,5,4]
[3,2,8,5,7,4,6,1]=>[4,6,8,1,7,2,5,3]
[2,1,8,7,4,6,3,5]=>[5,7,8,6,1,4,2,3]
[3,1,8,5,7,6,2,4]=>[4,7,8,1,6,5,2,3]
[6,1,5,8,7,4,2,3]=>[3,7,1,8,6,5,2,4]
[5,8,6,7,4,3,2,1]=>[3,8,1,7,6,5,4,2]
[4,8,7,5,6,3,2,1]=>[4,8,7,1,6,5,3,2]
[4,2,1,6,3,5,8,7]=>[8,2,1,5,3,4,6,7]
[6,2,1,4,3,5,8,7]=>[2,4,8,3,5,1,6,7]
[6,2,1,4,3,8,5,7]=>[2,4,7,8,3,1,5,6]
[8,2,1,4,3,6,5,7]=>[2,4,7,3,5,6,8,1]
[8,2,4,1,3,6,5,7]=>[7,2,4,3,5,6,8,1]
[6,2,4,1,3,8,5,7]=>[7,2,3,8,4,1,5,6]
[6,2,4,1,3,5,8,7]=>[8,2,4,3,5,1,6,7]
[4,2,6,1,3,5,8,7]=>[8,2,1,4,5,3,6,7]
[2,1,6,4,3,5,8,7]=>[4,8,1,5,2,3,6,7]
[2,6,1,4,3,5,8,7]=>[4,8,1,3,5,2,6,7]
[2,6,4,1,3,5,8,7]=>[8,4,1,3,5,2,6,7]
[4,6,2,1,3,5,8,7]=>[3,1,8,4,5,2,6,7]
[6,4,2,1,3,5,8,7]=>[3,8,4,2,5,1,6,7]
[8,4,2,1,3,6,5,7]=>[3,7,4,2,5,6,8,1]
[8,4,2,1,6,3,5,7]=>[3,6,2,7,4,5,8,1]
[6,4,2,1,8,3,5,7]=>[3,6,2,7,1,8,4,5]
[4,6,2,1,8,3,5,7]=>[3,1,6,7,2,8,4,5]
[2,6,1,4,3,8,5,7]=>[4,7,8,1,3,2,5,6]
[2,1,6,4,3,8,5,7]=>[4,7,1,3,8,2,5,6]
[2,1,8,4,3,6,5,7]=>[4,7,1,5,6,8,2,3]
[2,8,1,4,3,6,5,7]=>[4,7,1,3,5,6,8,2]
[2,8,4,1,3,6,5,7]=>[7,4,1,3,5,6,8,2]
[4,8,2,1,3,6,5,7]=>[3,1,7,4,5,6,8,2]
[4,8,2,1,6,3,5,7]=>[3,1,6,7,4,5,8,2]
[6,8,2,1,4,3,5,7]=>[3,6,4,5,1,7,8,2]
[8,6,2,1,4,3,5,7]=>[3,6,4,5,7,2,8,1]
[2,8,1,4,6,3,5,7]=>[4,6,7,1,3,5,8,2]
[2,1,8,4,6,3,5,7]=>[4,6,7,1,5,8,2,3]
[2,1,6,4,8,3,5,7]=>[4,6,1,3,7,8,2,5]
[2,6,1,4,8,3,5,7]=>[4,6,7,1,2,8,3,5]
[2,6,4,1,8,3,5,7]=>[6,3,7,1,2,8,4,5]
[2,6,4,8,1,3,5,7]=>[5,3,6,1,2,7,8,4]
[4,6,2,8,1,3,5,7]=>[3,1,5,6,2,7,8,4]
[4,2,6,1,3,8,5,7]=>[7,1,8,2,4,3,5,6]
[4,2,6,1,8,3,5,7]=>[6,1,7,2,3,8,4,5]
[6,2,4,1,8,3,5,7]=>[6,2,3,7,1,8,4,5]
[8,2,4,1,6,3,5,7]=>[6,2,3,7,4,5,8,1]
[8,2,1,4,6,3,5,7]=>[2,4,6,7,3,5,8,1]
[6,2,1,4,8,3,5,7]=>[2,4,6,7,1,8,3,5]
[4,2,1,6,8,3,5,7]=>[6,2,1,4,7,8,3,5]
[4,2,1,6,3,8,5,7]=>[7,2,1,4,8,3,5,6]
[4,2,1,3,6,8,5,7]=>[2,5,1,7,8,3,4,6]
[2,1,4,3,8,6,5,7]=>[7,1,3,6,8,2,4,5]
[2,4,1,3,8,6,5,7]=>[2,7,1,6,8,3,4,5]
[4,2,1,3,8,6,5,7]=>[7,2,1,6,8,3,4,5]
[4,2,1,8,3,6,5,7]=>[7,2,1,5,6,8,3,4]
[4,2,1,8,6,3,5,7]=>[6,1,7,2,5,8,3,4]
[6,2,1,8,4,3,5,7]=>[6,2,5,7,1,8,3,4]
[8,2,1,6,4,3,5,7]=>[6,2,5,7,3,4,8,1]
[8,2,6,1,4,3,5,7]=>[6,2,4,5,7,3,8,1]
[6,2,8,1,4,3,5,7]=>[6,2,4,5,1,7,8,3]
[4,2,8,1,6,3,5,7]=>[6,1,7,2,4,5,8,3]
[4,2,8,1,3,6,5,7]=>[7,2,1,4,5,6,8,3]
[2,4,8,1,3,6,5,7]=>[2,7,1,4,5,6,8,3]
[2,4,1,8,3,6,5,7]=>[2,7,1,5,6,8,3,4]
[2,1,4,8,3,6,5,7]=>[7,1,3,5,6,8,2,4]
[2,1,4,8,6,3,5,7]=>[6,7,1,3,5,8,2,4]
[2,4,8,1,6,3,5,7]=>[2,6,7,1,4,5,8,3]
[2,4,8,6,1,3,5,7]=>[2,5,6,7,1,4,8,3]
[4,2,8,6,1,3,5,7]=>[5,1,6,7,2,4,8,3]
[6,2,8,4,1,3,5,7]=>[5,6,2,4,1,7,8,3]
[8,2,6,4,1,3,5,7]=>[5,6,2,4,7,3,8,1]
[8,4,6,2,1,3,5,7]=>[5,4,2,6,7,3,8,1]
[6,4,8,2,1,3,5,7]=>[5,4,2,6,1,7,8,3]
[4,6,8,2,1,3,5,7]=>[1,5,4,6,2,7,8,3]
[2,6,8,4,1,3,5,7]=>[5,6,4,1,2,7,8,3]
[2,6,8,1,4,3,5,7]=>[6,4,5,1,2,7,8,3]
[2,6,1,8,4,3,5,7]=>[6,5,7,1,2,8,3,4]
[2,1,6,8,4,3,5,7]=>[6,5,1,3,7,8,2,4]
[2,1,8,6,4,3,5,7]=>[6,5,7,1,4,8,2,3]
[2,8,1,6,4,3,5,7]=>[6,5,7,1,3,4,8,2]
[2,8,6,4,1,3,5,7]=>[5,6,4,7,1,3,8,2]
[4,8,6,2,1,3,5,7]=>[1,5,4,6,7,3,8,2]
[6,8,4,2,1,3,5,7]=>[5,4,6,3,1,7,8,2]
[3,2,6,1,5,4,8,7]=>[1,5,8,2,4,3,6,7]
[5,2,4,3,8,1,7,6]=>[3,8,2,1,4,6,7,5]
[6,2,4,1,5,3,8,7]=>[5,2,3,8,4,1,6,7]
[4,3,6,1,5,2,8,7]=>[2,1,5,8,4,3,6,7]
[4,3,5,2,8,1,7,6]=>[2,1,3,8,4,6,7,5]
[4,3,7,2,6,5,8,1]=>[1,6,2,4,5,3,8,7]
[4,3,8,2,6,1,7,5]=>[1,8,2,4,6,5,7,3]
[4,3,8,1,7,2,6,5]=>[1,8,2,6,7,4,5,3]
[4,3,8,1,5,2,7,6]=>[2,1,5,8,4,6,7,3]
[5,1,8,3,4,2,7,6]=>[4,5,1,8,6,7,2,3]
[5,4,8,1,3,2,7,6]=>[5,2,1,8,4,6,7,3]
[2,1,5,4,8,3,7,6]=>[3,8,1,4,6,7,2,5]
[5,1,7,6,8,3,4,2]=>[1,6,4,3,8,7,2,5]
[4,3,7,6,8,1,5,2]=>[8,1,6,2,4,3,7,5]
[4,3,7,1,8,5,6,2]=>[1,6,8,2,7,4,3,5]
[4,3,6,5,8,1,7,2]=>[1,4,2,3,8,6,7,5]
[6,3,5,4,7,2,8,1]=>[4,2,3,1,6,5,8,7]
[6,3,5,4,8,1,7,2]=>[4,2,3,1,8,6,7,5]
[7,1,6,3,8,4,5,2]=>[6,8,4,3,7,2,1,5]
[7,4,6,5,8,1,3,2]=>[8,2,6,4,3,1,7,5]
[2,1,8,4,6,3,7,5]=>[8,4,6,1,5,7,2,3]
[8,4,6,1,3,2,7,5]=>[5,2,8,4,6,3,7,1]
[8,1,6,3,4,2,7,5]=>[4,5,8,6,2,3,7,1]
[8,1,6,3,7,2,5,4]=>[8,4,6,3,7,2,5,1]
[8,3,5,1,7,2,6,4]=>[8,2,6,3,7,4,5,1]
[8,3,5,2,6,1,7,4]=>[8,2,4,3,6,5,7,1]
[7,3,5,2,6,4,8,1]=>[6,2,4,3,5,1,8,7]
[8,2,6,3,5,1,7,4]=>[8,4,6,2,5,3,7,1]
[8,2,7,1,5,3,6,4]=>[8,6,2,4,5,7,3,1]
[8,2,4,1,5,3,7,6]=>[5,2,3,8,4,6,7,1]
[8,2,4,1,7,3,6,5]=>[3,8,2,6,7,4,5,1]
[8,2,4,3,6,1,7,5]=>[3,8,2,4,6,5,7,1]
[3,2,8,4,6,1,7,5]=>[8,1,4,6,2,5,7,3]
[3,2,8,1,5,4,7,6]=>[1,5,8,2,4,6,7,3]
[3,2,7,6,8,1,5,4]=>[8,6,1,4,2,3,7,5]
[3,2,7,1,8,5,6,4]=>[6,8,1,7,2,4,3,5]
[3,2,6,5,8,1,7,4]=>[4,1,3,8,2,6,7,5]
[6,5,7,2,4,3,8,1]=>[6,4,2,1,5,3,8,7]
[6,5,8,2,4,1,7,3]=>[8,4,2,1,6,5,7,3]
[7,2,4,1,8,5,6,3]=>[3,6,8,2,7,4,1,5]
[7,6,8,2,4,1,5,3]=>[8,4,6,5,2,1,7,3]
[7,6,8,1,5,2,4,3]=>[8,6,7,4,2,1,5,3]
[2,1,7,3,8,5,6,4]=>[6,8,7,1,4,2,3,5]
[7,1,3,2,8,5,6,4]=>[6,8,3,7,2,4,1,5]
[7,1,8,5,6,2,4,3]=>[8,6,4,7,5,2,1,3]
[7,1,8,2,6,4,5,3]=>[6,8,7,4,5,2,1,3]
[7,2,8,1,5,4,6,3]=>[6,5,8,2,4,1,7,3]
[6,2,7,4,5,3,8,1]=>[4,6,5,2,1,3,8,7]
[5,4,7,2,6,3,8,1]=>[2,1,6,4,5,3,8,7]
[5,4,8,2,6,1,7,3]=>[2,1,8,4,6,5,7,3]
[6,5,8,1,7,2,4,3]=>[8,6,2,1,7,4,5,3]
[2,1,6,5,8,3,7,4]=>[4,3,8,1,6,7,2,5]
[6,5,7,4,8,1,3,2]=>[2,1,8,6,4,3,7,5]
[6,5,7,1,8,3,4,2]=>[6,2,1,8,7,4,3,5]
[6,1,7,4,8,3,5,2]=>[4,6,3,1,8,7,2,5]
[5,4,7,1,8,3,6,2]=>[2,1,6,8,7,4,3,5]
[5,4,6,3,8,1,7,2]=>[2,1,4,3,8,6,7,5]
[2,8,3,1,5,4,6,7]=>[3,6,1,4,5,7,8,2]
[2,5,3,4,7,1,8,6]=>[8,3,1,2,4,6,5,7]
[2,4,8,3,5,7,6,1]=>[8,2,4,5,7,1,6,3]
[4,2,5,3,1,8,6,7]=>[4,2,1,3,7,8,5,6]
[4,2,1,8,5,3,6,7]=>[6,2,1,5,7,8,3,4]
[5,4,1,3,8,2,6,7]=>[4,6,2,1,7,8,3,5]
[5,1,4,8,3,2,6,7]=>[3,6,5,1,7,8,2,4]
[1,5,8,4,3,2,6,7]=>[2,6,5,4,7,8,1,3]
[1,8,5,4,3,2,6,7]=>[6,5,4,3,7,8,1,2]
[1,7,4,3,8,5,2,6]=>[3,7,4,6,2,8,1,5]
[1,5,7,3,8,4,2,6]=>[2,7,4,6,3,8,1,5]
[5,1,4,7,8,3,2,6]=>[7,3,1,6,4,8,2,5]
[4,8,1,5,7,3,6,2]=>[1,4,6,8,7,3,5,2]
[8,1,5,3,7,4,6,2]=>[6,3,8,4,7,2,5,1]
[3,8,4,7,6,5,2,1]=>[8,7,3,6,1,5,4,2]
[1,6,8,5,3,7,4,2]=>[2,8,5,4,7,6,1,3]
[6,8,1,7,4,3,5,2]=>[6,5,1,8,7,3,4,2]
[6,4,8,1,7,3,5,2]=>[2,6,1,8,7,4,5,3]
[6,4,8,7,1,5,2,3]=>[2,7,1,8,5,6,4,3]
[7,6,4,1,3,8,2,5]=>[5,7,3,8,4,2,1,6]
[1,7,5,6,3,2,8,4]=>[5,3,8,6,4,1,2,7]
[4,2,1,7,8,5,3,6]=>[1,7,6,2,4,8,3,5]
[2,7,4,6,3,1,8,5]=>[3,5,8,6,1,4,2,7]
[2,6,8,4,3,7,5,1]=>[4,2,8,5,7,1,6,3]
[6,2,4,8,3,7,5,1]=>[8,3,5,1,7,2,6,4]
[7,2,6,3,4,1,8,5]=>[4,5,8,2,6,3,1,7]
[2,6,7,3,1,4,8,5]=>[4,8,5,1,2,6,3,7]
[2,7,1,8,3,5,4,6]=>[7,5,6,8,1,3,2,4]
[2,1,7,3,5,8,4,6]=>[5,7,8,1,4,2,3,6]
[8,7,1,3,6,2,4,5]=>[4,6,7,8,3,5,2,1]
[8,2,1,7,3,5,6,4]=>[6,8,2,5,7,3,4,1]
[7,8,2,6,3,1,5,4]=>[5,8,3,6,1,7,4,2]
[8,7,2,6,3,5,4,1]=>[8,5,7,3,6,4,2,1]
[1,2,8,7,4,5,6,3]=>[5,6,8,7,4,1,2,3]
[8,3,7,1,5,6,2,4]=>[7,2,5,8,4,6,3,1]
[8,6,1,2,7,5,3,4]=>[7,8,6,3,4,2,5,1]
[8,1,6,2,7,4,5,3]=>[6,8,7,4,2,3,5,1]
[1,8,5,2,6,7,4,3]=>[5,3,8,7,4,6,1,2]
[5,2,1,8,6,7,4,3]=>[5,1,8,7,2,6,3,4]
[2,8,5,7,6,4,3,1]=>[8,3,7,6,5,1,4,2]
[1,7,8,5,2,6,4,3]=>[8,7,5,4,2,6,1,3]
[7,8,1,6,4,2,5,3]=>[8,6,5,7,3,1,4,2]
[7,8,6,1,5,3,2,4]=>[7,6,8,4,1,5,3,2]
[7,3,8,6,1,5,2,4]=>[7,8,2,5,1,6,4,3]
[8,7,6,1,5,3,4,2]=>[6,8,7,4,5,3,2,1]
[8,7,1,6,4,5,3,2]=>[5,8,7,6,3,4,2,1]
[8,1,7,5,6,4,3,2]=>[4,8,7,6,5,2,3,1]
[1,8,6,7,5,4,3,2]=>[3,8,7,6,5,4,1,2]
[6,3,5,2,1,4,8,7]=>[2,4,8,5,3,1,6,7]
[6,3,5,7,2,8,4,1]=>[3,8,2,1,5,4,7,6]
[8,5,2,7,4,3,1,6]=>[7,6,3,2,5,8,4,1]
[4,5,3,6,1,2,8,7]=>[1,3,2,8,5,4,6,7]
[3,5,1,4,6,2,8,7]=>[1,4,5,2,8,3,6,7]
[8,3,4,5,7,2,1,6]=>[2,3,4,7,6,8,5,1]
[5,7,4,6,3,8,2,1]=>[1,3,5,4,2,8,7,6]
[2,8,4,6,3,7,1,5]=>[3,5,7,4,8,1,6,2]
[8,1,4,7,3,6,2,5]=>[3,5,7,8,6,2,4,1]
[8,3,4,7,5,1,2,6]=>[2,3,6,7,5,8,4,1]
[8,5,1,4,7,3,2,6]=>[4,7,6,2,8,3,5,1]
[8,5,3,7,1,4,2,6]=>[3,7,5,2,6,8,4,1]
[2,1,8,5,7,4,3,6]=>[4,7,6,8,1,5,2,3]
[6,5,3,7,1,8,4,2]=>[8,3,2,1,7,5,4,6]
[6,5,1,4,7,8,3,2]=>[4,5,2,1,8,7,3,6]
[6,3,4,7,5,8,1,2]=>[7,2,3,1,5,4,8,6]
[5,1,4,6,8,3,7,2]=>[3,4,1,6,8,7,2,5]
[4,7,1,3,5,8,6,2]=>[1,8,4,5,7,3,2,6]
[4,8,3,7,1,2,6,5]=>[1,3,8,5,6,7,4,2]
[3,8,6,4,1,7,2,5]=>[7,4,8,1,5,3,6,2]
[3,8,1,2,5,7,6,4]=>[8,1,5,7,3,4,6,2]
[2,8,7,5,4,1,3,6]=>[6,7,5,4,8,1,3,2]
[8,7,2,6,4,1,3,5]=>[6,7,3,5,8,4,2,1]
[3,8,6,7,4,2,1,5]=>[7,6,5,1,3,8,4,2]
[5,7,6,8,4,2,3,1]=>[6,1,3,2,8,7,5,4]
[5,3,7,8,2,4,6,1]=>[5,1,6,2,3,8,7,4]
[8,3,6,2,1,4,7,5]=>[2,4,8,5,6,3,7,1]
[5,3,7,6,2,1,8,4]=>[5,1,8,2,6,4,3,7]
[5,3,6,2,8,7,1,4]=>[7,2,1,3,8,4,6,5]
[5,7,8,6,4,2,1,3]=>[7,1,6,2,8,5,4,3]
[2,6,7,5,4,8,1,3]=>[2,7,5,4,1,3,8,6]
[6,1,7,4,5,8,2,3]=>[4,7,5,3,1,8,2,6]
[6,7,3,5,1,8,2,4]=>[3,7,1,8,5,4,2,6]
[2,1,6,7,5,8,3,4]=>[3,7,5,1,4,8,2,6]
[2,1,5,7,3,6,8,4]=>[3,6,8,1,5,2,4,7]
[5,7,3,6,1,2,8,4]=>[3,1,8,5,6,4,2,7]
[4,1,7,2,5,6,8,3]=>[5,1,6,8,4,2,3,7]
[2,4,7,1,6,5,8,3]=>[6,2,5,8,1,4,3,7]
[4,6,2,1,8,7,5,3]=>[8,1,7,3,2,6,4,5]
[3,4,6,2,7,8,5,1]=>[5,1,2,3,8,4,7,6]
[4,6,1,2,5,8,7,3]=>[1,8,5,7,3,2,4,6]
[5,6,1,4,8,2,7,3]=>[4,1,8,6,2,7,3,5]
[5,6,3,1,8,7,2,4]=>[3,1,7,2,8,6,4,5]
[3,5,6,4,7,1,8,2]=>[2,4,1,3,8,6,5,7]
[3,4,6,1,5,7,8,2]=>[1,2,5,6,3,8,4,7]
[3,4,1,5,7,6,8,2]=>[1,2,6,4,5,8,3,7]
[3,8,2,7,1,6,5,4]=>[8,7,1,3,5,6,4,2]
[3,8,2,7,6,1,5,4]=>[8,6,7,1,3,5,4,2]
[3,8,2,7,6,5,1,4]=>[7,8,6,1,3,5,4,2]
[3,8,2,7,6,5,4,1]=>[8,7,6,1,3,5,4,2]
[4,8,7,2,6,5,3,1]=>[8,7,1,4,6,5,3,2]
[4,8,7,2,6,5,1,3]=>[7,8,1,4,6,5,3,2]
[4,8,7,2,6,1,5,3]=>[8,1,4,6,7,5,3,2]
[4,8,7,2,1,6,5,3]=>[8,1,4,7,5,6,3,2]
[4,8,7,3,1,6,5,2]=>[4,8,1,7,5,6,3,2]
[4,8,7,3,2,1,6,5]=>[5,1,4,8,6,7,3,2]
[4,8,7,3,2,6,1,5]=>[5,1,4,7,8,6,3,2]
[4,8,7,3,2,6,5,1]=>[4,8,1,5,7,6,3,2]
[4,8,7,3,6,2,5,1]=>[4,6,8,1,7,5,3,2]
[4,8,7,3,6,2,1,5]=>[4,7,1,6,8,5,3,2]
[4,8,7,3,6,1,5,2]=>[4,8,1,6,7,5,3,2]
[4,8,7,3,6,5,1,2]=>[4,7,8,1,6,5,3,2]
[4,8,7,3,6,5,2,1]=>[8,4,7,1,6,5,3,2]
[5,8,7,6,3,4,2,1]=>[5,8,1,7,6,4,3,2]
[5,8,7,6,3,1,4,2]=>[8,1,6,5,7,4,3,2]
[5,8,7,6,3,2,4,1]=>[6,1,5,8,7,4,3,2]
[5,8,7,6,2,4,3,1]=>[8,1,5,7,6,4,3,2]
[5,8,7,6,2,1,4,3]=>[1,5,8,6,7,4,3,2]
[5,8,7,6,4,2,3,1]=>[6,8,1,7,5,4,3,2]
[5,8,7,6,4,2,1,3]=>[7,1,6,8,5,4,3,2]
[5,8,7,6,4,1,3,2]=>[8,1,6,7,5,4,3,2]
[5,8,7,6,4,3,1,2]=>[7,8,1,6,5,4,3,2]
[7,3,4,2,1,6,5,8]=>[2,4,3,7,5,6,1,8]
[7,3,5,2,6,1,4,8]=>[2,4,6,3,7,5,1,8]
[7,3,5,2,6,4,1,8]=>[7,2,4,3,6,5,1,8]
[6,3,5,2,7,4,8,1]=>[6,2,4,3,1,5,8,7]
[7,2,1,5,6,4,3,8]=>[4,7,2,6,3,5,1,8]
[7,3,5,1,6,4,2,8]=>[7,2,6,4,3,5,1,8]
[7,4,5,6,1,3,2,8]=>[2,7,5,3,6,4,1,8]
[1,4,5,7,3,2,8,6]=>[2,3,5,8,6,1,4,7]
[1,4,6,7,3,8,2,5]=>[5,2,3,7,4,8,1,6]
[6,4,5,7,3,1,8,2]=>[2,3,1,8,6,5,4,7]
[6,4,5,7,1,3,8,2]=>[2,6,3,1,8,5,4,7]
[6,3,5,1,7,4,8,2]=>[6,2,5,3,1,8,4,7]
[6,2,1,5,7,4,8,3]=>[4,6,2,5,1,8,3,7]
[3,2,1,5,7,4,8,6]=>[1,8,2,4,6,3,5,7]
[2,4,6,7,3,8,1,5]=>[5,2,3,7,1,4,8,6]
[1,4,6,7,3,8,5,2]=>[3,8,2,5,4,7,1,6]
[1,5,6,7,8,3,4,2]=>[2,3,6,4,8,7,1,5]
[2,5,6,7,8,3,1,4]=>[2,3,7,6,1,4,8,5]
[3,2,1,6,7,8,4,5]=>[1,4,7,2,5,8,3,6]
[5,2,1,6,7,8,4,3]=>[4,5,1,8,2,7,3,6]
[5,3,6,1,7,8,4,2]=>[5,2,1,3,8,7,4,6]
[5,4,6,7,1,8,3,2]=>[2,1,3,8,7,5,4,6]
[1,5,6,7,8,3,2,4]=>[2,3,7,6,4,8,1,5]
[6,4,5,7,2,1,8,3]=>[2,5,3,1,8,6,4,7]
[5,4,6,7,2,8,3,1]=>[2,1,3,8,5,4,7,6]
[5,3,6,2,7,8,4,1]=>[5,2,1,3,8,4,7,6]
[5,3,6,2,7,8,1,4]=>[7,2,1,4,3,5,8,6]
[6,3,5,2,7,1,8,4]=>[8,2,4,3,1,6,5,7]
[6,3,4,2,1,7,8,5]=>[2,4,3,6,1,8,5,7]
[5,3,4,1,2,7,8,6]=>[2,6,3,1,8,4,5,7]
[4,3,6,2,7,8,1,5]=>[1,7,2,4,3,5,8,6]
[4,3,6,2,7,8,5,1]=>[1,5,2,3,8,4,7,6]
[1,3,6,2,7,8,5,4]=>[5,3,8,2,7,1,4,6]
[1,4,6,7,2,8,5,3]=>[3,8,2,7,5,1,4,6]
[3,4,6,7,2,8,5,1]=>[3,8,1,2,5,4,7,6]
[3,4,5,7,2,1,8,6]=>[1,2,3,5,8,6,4,7]
[4,2,1,5,7,3,8,6]=>[8,2,1,4,6,3,5,7]
[4,2,1,6,7,8,3,5]=>[4,1,7,2,5,8,3,6]
[4,3,6,1,7,8,2,5]=>[1,7,2,5,3,8,4,6]
[1,5,6,7,8,2,4,3]=>[2,3,8,6,4,7,1,5]
[1,5,6,7,8,4,2,3]=>[2,3,7,4,8,6,1,5]
[3,4,6,7,1,8,5,2]=>[3,8,1,2,7,5,4,6]
[4,3,6,1,7,8,5,2]=>[1,5,2,3,8,7,4,6]
[4,2,1,6,7,8,5,3]=>[4,1,5,8,2,7,3,6]
[2,3,6,1,7,8,5,4]=>[5,3,8,1,2,7,4,6]
[2,4,6,7,1,8,5,3]=>[3,8,2,7,1,5,4,6]
[2,5,6,7,8,1,4,3]=>[2,3,8,6,1,4,7,5]
[1,4,3,6,2,5,7,8]=>[3,2,5,6,1,4,7,8]
[1,4,3,7,2,5,6,8]=>[3,2,5,6,7,1,4,8]
[1,4,3,7,6,8,2,5]=>[7,2,5,3,4,8,1,6]
[1,4,3,7,5,8,2,6]=>[2,5,7,3,4,8,1,6]
[1,4,3,7,2,6,5,8]=>[2,7,3,5,6,1,4,8]
[1,5,3,7,4,8,2,6]=>[5,2,7,3,4,8,1,6]
[1,3,2,6,5,8,4,7]=>[5,2,4,7,8,1,3,6]
[1,5,4,8,2,6,3,7]=>[3,2,7,5,6,8,1,4]
[1,5,4,8,3,7,2,6]=>[3,2,5,7,8,6,1,4]
[1,2,3,6,5,8,4,7]=>[5,4,7,8,1,2,3,6]
[6,8,2,4,5,7,1,3]=>[4,7,3,1,5,8,6,2]
[3,7,8,4,5,2,6,1]=>[4,6,5,1,2,8,7,3]
[7,8,1,4,5,3,6,2]=>[4,6,5,8,3,1,7,2]
[3,8,7,4,1,6,5,2]=>[4,8,7,1,5,6,3,2]
[4,8,3,6,1,5,7,2]=>[1,3,6,8,5,4,7,2]
[5,8,3,1,6,4,7,2]=>[3,1,6,5,8,4,7,2]
[5,8,1,4,7,6,3,2]=>[1,8,4,7,6,3,5,2]
[7,5,1,8,6,2,4,3]=>[8,6,2,7,5,3,1,4]
[7,4,1,8,2,6,3,5]=>[7,2,8,5,6,3,1,4]
[7,1,8,4,2,6,3,5]=>[7,4,8,5,6,2,1,3]
[1,6,3,8,5,2,4,7]=>[6,7,3,2,5,8,1,4]
[6,1,3,8,5,2,4,7]=>[6,7,3,5,1,8,2,4]
[7,1,8,3,6,2,5,4]=>[8,4,6,7,5,2,1,3]
[7,3,1,8,4,2,6,5]=>[2,5,8,6,7,3,1,4]
[7,2,8,4,1,6,5,3]=>[4,8,7,2,5,1,6,3]
[7,2,8,3,6,5,1,4]=>[7,8,4,6,2,1,5,3]
[7,2,8,3,6,1,5,4]=>[8,4,6,7,2,1,5,3]
[7,1,8,2,3,6,5,4]=>[8,7,4,5,6,2,1,3]
[6,1,2,8,3,5,4,7]=>[7,5,6,8,2,1,3,4]
[1,5,2,3,8,4,7,6]=>[8,6,2,7,1,3,4,5]
[5,1,2,3,8,4,7,6]=>[8,6,7,2,1,3,4,5]
[5,2,3,8,1,4,7,6]=>[8,2,3,1,5,6,7,4]
[6,2,8,1,3,5,4,7]=>[7,2,4,5,1,6,8,3]
[6,2,4,1,8,7,3,5]=>[3,7,8,2,1,6,4,5]
[6,3,1,4,2,8,5,7]=>[4,2,7,8,3,1,5,6]
[3,1,6,4,2,8,5,7]=>[1,4,7,3,8,2,5,6]
[2,6,3,8,7,1,5,4]=>[8,6,2,7,1,3,5,4]
[2,6,3,8,5,1,4,7]=>[6,7,3,1,2,5,8,4]
[2,5,1,8,3,4,7,6]=>[8,5,1,2,6,7,3,4]
[2,5,1,3,8,4,7,6]=>[8,6,1,2,7,3,4,5]
[1,2,5,3,8,4,7,6]=>[3,8,6,7,1,2,4,5]
[1,2,4,8,3,7,6,5]=>[8,7,3,5,6,1,2,4]
[2,4,8,1,3,7,6,5]=>[8,2,7,1,4,5,6,3]
[2,4,8,3,7,1,6,5]=>[8,2,4,6,7,1,5,3]
[2,4,8,3,7,6,1,5]=>[7,8,2,4,6,1,5,3]
[2,5,3,8,1,7,4,6]=>[7,2,8,1,3,5,6,4]
[2,5,4,1,3,8,7,6]=>[3,2,8,1,7,4,5,6]
[3,1,5,4,8,2,7,6]=>[1,3,8,4,6,7,2,5]
[5,3,1,4,8,2,7,6]=>[2,8,4,1,6,7,3,5]
[5,2,3,8,4,7,1,6]=>[5,7,1,8,2,3,6,4]
[4,8,2,3,7,6,1,5]=>[1,7,8,3,4,6,5,2]
[4,8,2,3,7,1,6,5]=>[1,8,3,4,6,7,5,2]
[4,8,1,2,3,7,6,5]=>[1,8,7,3,4,5,6,2]
[1,4,8,2,3,7,6,5]=>[8,2,7,4,5,6,1,3]
[1,4,8,3,7,2,6,5]=>[8,2,4,6,7,5,1,3]
[6,3,8,1,5,2,4,7]=>[2,6,7,4,1,5,8,3]
[5,3,8,1,2,4,7,6]=>[2,8,4,1,5,6,7,3]
[5,1,3,8,2,4,7,6]=>[8,3,5,1,6,7,2,4]
[1,5,3,8,2,4,7,6]=>[8,3,2,5,6,7,1,4]
[1,5,4,8,2,7,6,3]=>[2,8,3,7,5,6,1,4]
[5,1,4,8,2,7,6,3]=>[8,3,1,7,5,6,2,4]
[5,4,8,1,2,7,6,3]=>[2,1,8,7,4,5,6,3]
[6,5,1,2,8,7,4,3]=>[8,7,6,3,2,1,4,5]
[5,3,1,6,4,2,8,7]=>[2,5,4,1,8,3,6,7]
[5,1,6,2,8,7,4,3]=>[3,1,8,7,6,2,4,5]
[4,1,5,8,2,7,6,3]=>[1,8,3,7,5,6,2,4]
[4,1,2,5,8,7,6,3]=>[1,8,7,4,6,2,3,5]
[1,4,2,5,8,7,6,3]=>[8,2,7,4,6,1,3,5]
[1,3,5,2,8,7,4,6]=>[3,7,8,2,6,1,4,5]
[3,5,1,2,8,7,4,6]=>[7,1,2,8,6,3,4,5]
[3,6,2,8,7,5,1,4]=>[7,2,8,1,6,3,5,4]
[4,2,6,1,8,7,3,5]=>[1,7,3,8,2,6,4,5]
[4,3,1,5,8,2,7,6]=>[2,1,8,4,6,7,3,5]
[3,5,2,8,7,1,4,6]=>[6,1,2,7,8,3,5,4]
[3,4,8,7,2,6,1,5]=>[5,7,8,1,2,6,4,3]
[3,4,8,7,1,2,6,5]=>[8,1,2,5,6,7,4,3]
[3,4,8,1,7,2,6,5]=>[8,1,2,6,7,4,5,3]
[1,3,4,8,7,2,6,5]=>[8,6,7,2,3,5,1,4]
[1,3,4,8,2,7,6,5]=>[8,7,2,3,5,6,1,4]
[3,4,8,1,2,7,6,5]=>[8,1,2,7,4,5,6,3]
[3,4,8,2,7,1,6,5]=>[8,1,2,4,6,7,5,3]
[3,4,8,2,7,6,1,5]=>[7,8,1,2,4,6,5,3]
[4,2,5,8,1,7,6,3]=>[1,8,3,7,2,5,6,4]
[4,3,1,2,5,8,7,6]=>[2,1,8,7,3,4,5,6]
[3,1,4,2,5,8,7,6]=>[1,8,3,7,2,4,5,6]
[2,3,5,1,8,7,6,4]=>[8,3,7,1,2,6,4,5]
[7,8,2,1,5,3,6,4]=>[8,3,6,4,5,1,7,2]
[6,4,1,2,7,3,5,8]=>[6,7,3,2,4,1,5,8]
[2,3,7,5,4,1,8,6]=>[5,4,8,1,2,6,3,7]
[6,3,1,5,4,2,7,8]=>[2,6,5,3,4,1,7,8]
[7,8,1,5,4,2,6,3]=>[8,6,5,3,4,1,7,2]
[7,8,3,5,4,1,6,2]=>[8,3,6,5,4,1,7,2]
[7,8,2,5,4,1,3,6]=>[6,7,3,5,4,1,8,2]
[7,8,2,5,4,6,1,3]=>[7,5,3,4,1,8,6,2]
[6,2,1,5,4,7,3,8]=>[5,2,4,7,3,1,6,8]
[5,3,6,1,4,7,8,2]=>[2,5,1,6,3,8,4,7]
[5,3,6,2,4,7,1,8]=>[2,4,1,5,3,7,6,8]
[6,4,2,1,7,3,8,5]=>[8,3,2,6,4,1,5,7]
[4,3,7,5,8,6,1,2]=>[1,4,7,2,3,8,6,5]
[4,2,7,1,8,3,6,5]=>[1,8,6,7,2,4,3,5]
[3,2,6,7,4,8,1,5]=>[5,1,3,7,2,4,8,6]
[3,1,6,7,4,8,5,2]=>[3,8,1,5,4,7,2,6]
[1,7,6,5,3,8,4,2]=>[8,5,4,3,2,7,1,6]
[2,7,6,5,3,8,1,4]=>[5,7,4,3,1,2,8,6]
[1,7,6,5,2,4,8,3]=>[6,8,5,4,3,1,2,7]
[2,7,6,5,3,1,4,8]=>[6,5,7,4,1,3,2,8]
[2,7,1,4,8,3,5,6]=>[4,6,7,8,1,3,2,5]
[3,7,6,4,8,5,1,2]=>[4,7,3,1,2,8,6,5]
[5,7,6,3,8,4,1,2]=>[1,4,7,3,2,8,6,5]
[5,1,6,2,4,8,3,7]=>[5,7,3,1,8,2,4,6]
[4,7,6,5,2,1,3,8]=>[6,1,5,7,4,3,2,8]
[4,7,6,5,2,8,1,3]=>[5,7,1,4,3,2,8,6]
[4,7,6,5,1,8,3,2]=>[8,7,1,5,4,3,2,6]
[1,7,6,5,2,8,3,4]=>[7,8,5,4,3,1,2,6]
[1,7,6,5,3,2,8,4]=>[5,8,6,4,3,1,2,7]
[4,7,6,5,1,2,8,3]=>[8,1,5,6,4,3,2,7]
[4,7,6,5,3,1,8,2]=>[8,6,1,5,4,3,2,7]
[6,1,3,5,4,8,7,2]=>[4,8,3,5,1,7,2,6]
[5,2,6,3,4,1,7,8]=>[4,6,2,1,5,3,7,8]
[5,1,6,2,4,7,8,3]=>[5,6,3,1,8,2,4,7]
[1,2,6,3,4,8,7,5]=>[8,7,4,1,2,3,5,6]
[1,7,2,4,8,3,6,5]=>[8,4,6,7,3,1,2,5]
[6,1,4,2,8,3,5,7]=>[6,3,7,8,2,1,4,5]
[4,1,8,2,6,3,5,7]=>[6,1,7,4,5,8,2,3]
[4,7,2,1,5,3,6,8]=>[3,1,6,4,5,7,2,8]
[4,7,1,6,2,3,8,5]=>[1,8,5,6,3,4,2,7]
[1,7,2,6,8,3,5,4]=>[8,6,4,7,3,1,2,5]
[1,2,6,7,4,8,5,3]=>[3,8,5,4,7,1,2,6]
[3,1,6,7,4,2,8,5]=>[5,1,3,8,6,2,4,7]
[3,2,8,5,4,6,1,7]=>[5,1,4,7,2,6,8,3]
[4,7,6,3,5,8,1,2]=>[4,7,1,5,3,2,8,6]
[4,7,1,2,5,3,8,6]=>[5,1,8,3,4,6,2,7]
[3,7,6,5,2,4,1,8]=>[5,7,6,1,4,3,2,8]
[3,7,6,5,1,4,8,2]=>[6,8,5,1,4,3,2,7]
[3,7,6,5,2,1,8,4]=>[5,8,6,1,4,3,2,7]
[1,7,6,5,8,2,4,3]=>[8,6,4,3,2,7,1,5]
[3,7,6,5,8,1,4,2]=>[8,6,4,1,3,2,7,5]
[3,7,6,5,1,2,4,8]=>[5,6,7,1,4,3,2,8]
[3,1,6,8,4,2,5,7]=>[6,1,5,3,7,8,2,4]
[4,7,6,8,3,5,1,2]=>[7,5,1,3,2,8,6,4]
[2,7,6,5,1,4,3,8]=>[7,5,6,4,1,3,2,8]
[2,7,6,5,8,1,3,4]=>[6,7,4,3,1,2,8,5]
[2,7,6,5,8,4,1,3]=>[7,4,3,2,8,1,6,5]
[6,3,2,1,7,4,8,5]=>[2,8,3,6,4,1,5,7]
[4,2,1,7,3,5,8,6]=>[8,2,1,5,6,3,4,7]
[7,3,1,5,4,2,8,6]=>[2,5,4,8,3,6,1,7]
[8,4,1,5,2,7,6,3]=>[4,2,8,7,3,5,6,1]
[8,2,5,1,3,7,6,4]=>[8,7,2,4,3,5,6,1]
[4,3,7,2,1,5,8,6]=>[2,1,4,8,5,6,3,7]
[6,3,7,4,2,1,8,5]=>[5,2,4,1,8,6,3,7]
[4,7,2,5,3,1,8,6]=>[1,5,3,4,8,6,2,7]
[2,7,5,4,1,3,8,6]=>[8,5,4,1,3,6,2,7]
[7,5,4,3,2,1,8,6]=>[5,4,3,2,8,6,1,7]
[8,5,3,2,1,7,6,4]=>[3,8,4,2,7,5,6,1]
[6,5,2,1,8,4,3,7]=>[7,3,6,2,1,8,4,5]
[4,6,3,2,8,1,5,7]=>[1,4,3,6,2,7,8,5]
[5,7,4,3,2,8,1,6]=>[1,5,4,3,7,2,8,6]
[1,7,6,2,4,8,3,5]=>[5,7,8,4,3,1,2,6]
[2,7,3,6,4,8,1,5]=>[5,7,3,4,1,2,8,6]
[6,2,7,5,3,8,1,4]=>[5,7,4,2,1,3,8,6]
[7,1,8,5,3,6,4,2]=>[8,5,4,7,6,2,1,3]
[5,8,1,6,2,7,4,3]=>[1,8,7,5,3,4,6,2]
[1,8,6,2,3,7,5,4]=>[8,7,4,5,3,6,1,2]
[1,8,6,3,2,7,5,4]=>[8,4,7,5,3,6,1,2]
[5,8,3,2,7,1,6,4]=>[3,1,8,4,6,7,5,2]
[8,7,3,1,6,5,4,2]=>[8,3,7,6,4,5,2,1]
[8,7,2,6,1,5,4,3]=>[8,7,3,5,6,4,2,1]
[1,8,5,7,4,3,6,2]=>[3,6,5,8,7,4,1,2]
[1,8,5,7,2,4,6,3]=>[6,3,8,5,7,4,1,2]
[3,8,6,1,7,2,5,4]=>[8,6,7,1,4,3,5,2]
[5,8,4,6,7,1,3,2]=>[1,3,8,6,4,7,5,2]
[7,2,8,5,6,1,4,3]=>[8,6,4,7,2,1,5,3]
[6,3,7,5,8,2,1,4]=>[7,6,2,1,4,3,8,5]
[3,7,2,6,8,4,1,5]=>[7,6,1,3,4,2,8,5]
[3,6,5,8,1,4,2,7]=>[7,5,1,3,2,6,8,4]
[2,6,5,8,4,1,3,7]=>[6,3,2,7,1,5,8,4]
[6,5,4,8,3,2,1,7]=>[3,2,1,7,6,5,8,4]
[8,4,3,7,2,1,6,5]=>[3,2,5,8,6,7,4,1]
[8,2,4,7,1,3,6,5]=>[3,8,2,5,6,7,4,1]
[6,2,5,8,1,4,3,7]=>[7,5,2,3,1,6,8,4]
[4,3,6,8,2,1,5,7]=>[1,6,2,5,3,7,8,4]
[6,3,5,1,8,4,2,7]=>[7,2,6,3,1,8,4,5]
[8,4,1,5,7,3,6,2]=>[4,2,6,8,7,3,5,1]
[6,4,2,5,8,3,1,7]=>[4,2,7,3,1,6,8,5]
[5,4,1,6,8,2,3,7]=>[6,4,2,1,7,8,3,5]
[6,5,2,1,7,8,3,4]=>[7,3,5,2,1,8,4,6]
[6,3,7,4,8,5,2,1]=>[8,4,2,1,3,7,6,5]
[4,7,2,5,8,6,3,1]=>[8,1,4,7,3,2,6,5]
[6,3,1,8,4,7,5,2]=>[8,2,5,1,7,6,3,4]
[6,4,2,8,7,3,5,1]=>[2,6,1,8,7,3,5,4]
[6,5,3,8,7,4,1,2]=>[7,2,1,8,3,6,5,4]
[8,5,3,7,6,4,2,1]=>[2,8,7,3,6,5,4,1]
[5,4,8,1,7,6,2,3]=>[2,1,7,8,6,4,5,3]
[5,2,8,1,7,3,6,4]=>[8,6,1,7,2,4,5,3]
[6,4,8,2,1,7,5,3]=>[2,8,4,1,7,5,6,3]
[3,6,8,1,4,7,5,2]=>[8,5,1,2,7,4,6,3]
[5,7,3,8,1,6,4,2]=>[1,8,3,7,5,2,6,4]
[6,4,7,8,1,5,3,2]=>[8,2,1,7,5,3,6,4]
[6,3,7,8,5,2,4,1]=>[6,3,1,8,2,7,5,4]
[2,5,8,7,1,3,6,4]=>[2,8,5,6,7,1,4,3]
[5,3,8,7,2,1,6,4]=>[5,1,8,2,6,7,4,3]
[8,3,7,6,1,5,4,2]=>[8,7,2,5,6,4,3,1]
[8,2,7,6,5,1,4,3]=>[8,6,7,5,2,4,3,1]
[4,3,8,7,6,2,1,5]=>[7,1,6,8,2,5,4,3]
[2,4,8,7,6,1,3,5]=>[6,7,8,2,5,1,4,3]
[3,5,8,7,2,6,1,4]=>[2,5,7,8,1,6,4,3]
[4,7,3,8,6,5,1,2]=>[7,8,1,3,2,6,5,4]
[7,5,8,6,4,3,2,1]=>[8,2,1,7,6,5,4,3]
[5,8,7,3,6,4,2,1]=>[8,1,4,7,6,5,3,2]
[4,8,7,6,2,5,3,1]=>[8,5,7,1,6,4,3,2]
[3,8,7,6,5,1,4,2]=>[8,6,7,5,1,4,3,2]
[2,8,7,6,5,4,1,3]=>[7,8,6,5,4,1,3,2]
[3,6,5,1,2,4,8,7]=>[8,1,4,5,3,2,6,7]
[3,7,5,8,2,4,1,6]=>[5,3,7,1,6,2,8,4]
[3,8,5,7,2,4,1,6]=>[5,3,7,1,6,8,4,2]
[5,1,7,8,4,3,2,6]=>[1,7,6,5,3,8,2,4]
[5,1,2,6,4,3,8,7]=>[5,4,8,2,1,3,6,7]
[6,1,2,5,4,3,8,7]=>[5,4,8,2,3,1,6,7]
[5,1,2,4,6,3,8,7]=>[4,5,8,2,1,3,6,7]
[4,1,2,6,5,3,8,7]=>[5,4,1,8,2,3,6,7]
[4,1,5,7,8,3,2,6]=>[1,7,3,6,4,8,2,5]
[4,1,5,8,7,3,2,6]=>[1,7,3,6,8,5,2,4]
[4,7,1,8,3,6,2,5]=>[1,5,7,8,6,3,2,4]
[4,1,7,8,5,2,3,6]=>[1,6,7,5,3,8,2,4]
[5,1,7,4,8,2,3,6]=>[6,4,1,7,3,8,2,5]
[7,5,3,8,1,4,2,6]=>[3,7,5,2,6,1,8,4]
[2,1,5,8,7,3,4,6]=>[3,6,7,8,1,5,2,4]
[5,1,8,4,7,2,3,6]=>[6,4,1,7,8,5,2,3]
[4,1,8,7,5,2,3,6]=>[1,6,7,5,8,4,2,3]
[4,7,1,6,3,2,8,5]=>[1,5,8,6,3,4,2,7]
[6,1,2,3,7,5,8,4]=>[6,5,8,2,3,1,4,7]
[7,1,2,3,8,6,5,4]=>[8,7,6,2,3,4,1,5]
[7,1,2,3,5,8,6,4]=>[8,5,7,2,3,4,1,6]
[6,8,1,4,3,7,2,5]=>[5,4,7,1,8,3,6,2]
[8,7,3,2,4,1,6,5]=>[4,3,5,8,6,7,2,1]
[2,1,7,3,4,8,6,5]=>[8,7,1,4,5,2,3,6]
[7,8,3,2,4,1,6,5]=>[4,3,5,8,6,1,7,2]
[6,7,1,4,3,8,2,5]=>[5,4,7,1,8,3,2,6]
[8,1,2,3,5,7,6,4]=>[8,5,7,2,3,4,6,1]
[8,1,2,3,6,7,5,4]=>[5,8,7,2,3,4,6,1]
[7,1,2,3,6,8,5,4]=>[5,8,7,2,3,4,1,6]
[7,1,2,3,8,5,6,4]=>[6,8,7,2,3,4,1,5]
[8,1,2,3,7,5,6,4]=>[6,8,7,2,3,4,5,1]
[8,1,2,3,6,5,7,4]=>[6,5,8,2,3,4,7,1]
[7,1,8,5,4,3,2,6]=>[7,6,5,4,8,2,1,3]
[7,8,2,6,3,4,1,5]=>[5,7,3,6,1,8,4,2]
[6,8,2,7,3,4,1,5]=>[5,7,3,1,6,8,4,2]
[6,7,2,8,3,4,1,5]=>[5,7,3,1,6,2,8,4]
[3,8,7,1,4,2,6,5]=>[5,8,1,4,6,7,3,2]
[3,7,8,1,4,2,6,5]=>[5,8,1,4,6,2,7,3]
[3,6,8,1,4,2,7,5]=>[5,8,1,4,2,6,7,3]
[3,5,7,8,2,4,1,6]=>[2,5,7,1,6,3,8,4]
[3,6,7,1,4,2,8,5]=>[5,8,1,4,2,6,3,7]
[7,6,2,8,3,1,4,5]=>[6,3,5,7,2,1,8,4]
[8,6,2,7,3,1,4,5]=>[6,3,5,7,2,8,4,1]
[8,1,7,5,4,3,2,6]=>[7,6,5,4,8,2,3,1]
[8,1,7,4,5,3,2,6]=>[4,7,6,5,8,2,3,1]
[5,8,3,7,1,4,2,6]=>[3,1,7,5,6,8,4,2]
[2,1,7,3,4,6,8,5]=>[6,8,1,4,5,2,3,7]
[6,7,3,2,4,1,8,5]=>[4,3,5,1,8,6,2,7]
[8,7,2,4,3,6,1,5]=>[5,3,4,7,8,6,2,1]
[7,1,2,3,5,6,8,4]=>[5,6,8,2,3,4,1,7]
[6,1,2,3,8,7,4,5]=>[7,8,6,2,3,1,4,5]
[5,1,2,3,7,8,6,4]=>[5,8,7,2,1,3,4,6]
[5,1,2,3,8,7,6,4]=>[8,7,6,2,1,3,4,5]
[5,1,2,3,8,6,7,4]=>[6,8,7,2,1,3,4,5]
[6,1,2,3,5,8,7,4]=>[8,5,7,2,3,1,4,6]
[8,6,2,4,3,1,7,5]=>[5,3,4,8,6,2,7,1]
[7,6,3,2,4,8,1,5]=>[4,3,5,7,2,1,8,6]
[2,1,6,3,4,8,7,5]=>[8,7,1,4,2,3,5,6]
[8,6,3,2,4,7,1,5]=>[4,3,5,7,2,8,6,1]
[7,6,2,4,3,1,8,5]=>[5,3,4,8,6,2,1,7]
[6,1,2,3,5,7,8,4]=>[5,6,8,2,3,1,4,7]
[5,1,2,3,6,8,7,4]=>[8,5,7,2,1,3,4,6]
[7,8,1,2,6,3,5,4]=>[8,6,7,3,4,1,5,2]
[1,4,8,2,7,3,5,6]=>[2,6,7,8,4,5,1,3]
[1,2,8,5,4,7,3,6]=>[5,4,7,8,6,1,2,3]
[1,3,8,5,4,2,7,6]=>[5,4,8,2,6,7,1,3]
[2,3,6,8,4,7,1,5]=>[5,3,7,8,1,2,6,4]
[1,3,6,8,4,7,5,2]=>[3,8,5,7,2,6,1,4]
[2,4,8,1,7,3,6,5]=>[8,2,6,7,1,4,5,3]
[3,4,8,5,7,6,1,2]=>[4,7,8,1,2,6,5,3]
[1,2,6,8,4,5,7,3]=>[5,3,6,8,7,1,2,4]
[7,5,1,2,4,3,6,8]=>[6,3,4,5,2,7,1,8]
[7,4,6,1,5,2,3,8]=>[6,2,7,4,5,3,1,8]
[7,1,4,2,6,3,5,8]=>[6,3,7,2,4,5,1,8]
[6,8,1,4,7,2,3,5]=>[6,4,7,1,8,3,5,2]
[1,6,4,2,8,3,5,7]=>[6,3,7,2,8,1,4,5]
[1,6,3,8,5,4,2,7]=>[7,6,3,2,5,8,1,4]
[6,8,1,7,3,5,4,2]=>[8,5,1,7,6,3,4,2]
[7,1,3,6,5,4,2,8]=>[7,6,3,5,2,4,1,8]
[7,3,1,6,5,4,2,8]=>[7,2,6,5,3,4,1,8]
[7,2,1,4,6,3,5,8]=>[2,4,6,7,3,5,1,8]
[7,2,3,6,5,1,4,8]=>[6,7,2,3,5,4,1,8]
[7,1,2,3,6,5,4,8]=>[7,6,2,3,4,5,1,8]
[6,8,1,2,7,3,5,4]=>[8,6,7,3,1,4,5,2]
[1,6,2,3,8,5,4,7]=>[7,6,8,3,1,2,4,5]
[1,5,8,2,7,6,3,4]=>[2,7,8,6,4,5,1,3]
[5,1,8,2,7,6,3,4]=>[7,1,8,6,4,5,2,3]
[5,8,2,7,6,3,4,1]=>[1,6,8,7,3,5,4,2]
[6,2,8,1,7,3,5,4]=>[8,6,7,2,1,4,5,3]
[6,8,2,1,7,4,3,5]=>[7,3,6,1,8,4,5,2]
[3,6,4,1,2,8,5,7]=>[7,1,3,8,4,2,5,6]
[2,1,6,3,8,5,4,7]=>[7,6,1,3,8,2,4,5]
[2,5,1,8,7,6,3,4]=>[2,7,8,6,1,5,3,4]
[2,5,3,8,7,4,6,1]=>[2,6,8,7,1,3,5,4]
[1,2,5,3,8,7,4,6]=>[3,7,8,6,1,2,4,5]
[2,4,8,7,6,5,1,3]=>[7,8,6,2,5,1,4,3]
[2,5,3,8,7,1,6,4]=>[2,8,6,7,1,3,5,4]
[2,5,8,4,1,7,6,3]=>[2,4,8,7,1,5,6,3]
[3,5,8,7,1,4,2,6]=>[2,7,1,5,6,8,4,3]
[5,3,8,4,1,7,6,2]=>[4,1,8,2,7,5,6,3]
[4,2,8,7,6,3,5,1]=>[6,8,1,7,5,2,4,3]
[4,2,8,7,6,5,3,1]=>[8,7,1,6,5,2,4,3]
[4,1,8,7,6,5,3,2]=>[8,7,1,6,5,4,2,3]
[4,3,8,7,6,5,1,2]=>[7,8,1,6,2,5,4,3]
[6,3,1,8,7,2,5,4]=>[8,2,6,1,7,5,3,4]
[5,8,3,7,6,1,4,2]=>[1,8,3,6,7,5,4,2]
[5,1,3,8,7,6,2,4]=>[7,1,8,6,3,5,2,4]
[1,5,3,8,7,6,2,4]=>[2,7,8,6,3,5,1,4]
[1,5,8,4,7,2,6,3]=>[2,4,8,6,7,5,1,3]
[5,1,8,4,7,2,6,3]=>[4,1,8,6,7,5,2,3]
[5,8,7,4,6,1,2,3]=>[1,6,7,4,8,5,3,2]
[6,8,5,1,2,4,7,3]=>[6,8,4,1,5,3,7,2]
[5,6,3,1,2,4,8,7]=>[8,4,3,1,5,2,6,7]
[5,6,2,4,3,1,8,7]=>[5,3,1,4,2,8,6,7]
[5,6,1,2,4,3,8,7]=>[5,8,3,1,4,2,6,7]
[4,5,8,1,7,2,3,6]=>[1,6,2,7,8,4,5,3]
[4,5,8,1,7,2,6,3]=>[1,2,8,6,7,4,5,3]
[1,3,2,5,8,7,4,6]=>[7,8,2,4,6,1,3,5]
[3,5,1,8,7,4,6,2]=>[2,6,8,1,7,5,3,4]
[3,5,1,8,7,2,6,4]=>[2,8,1,6,7,5,3,4]
[4,3,6,1,2,8,5,7]=>[2,1,7,8,4,3,5,6]
[4,5,8,3,1,7,2,6]=>[1,2,7,4,8,5,6,3]
[4,5,2,8,7,1,3,6]=>[1,6,2,7,8,3,5,4]
[3,2,5,8,7,1,6,4]=>[8,1,3,6,7,2,5,4]
[3,4,8,7,6,2,1,5]=>[7,6,8,1,2,5,4,3]
[3,1,4,8,7,6,2,5]=>[7,8,1,6,3,5,2,4]
[3,4,8,7,6,5,1,2]=>[7,8,6,1,2,5,4,3]
[1,3,4,8,7,6,2,5]=>[7,8,6,2,3,5,1,4]
[3,4,8,7,6,2,5,1]=>[6,8,7,1,2,5,4,3]
[3,2,5,8,7,4,6,1]=>[6,8,1,3,7,2,5,4]
[4,5,8,3,1,7,6,2]=>[1,2,4,8,7,5,6,3]
[2,1,3,5,8,7,4,6]=>[7,8,1,4,6,2,3,5]
[1,2,7,5,8,6,4,3]=>[8,4,3,7,6,1,2,5]
[7,1,4,8,2,6,5,3]=>[8,3,7,5,6,2,1,4]
[6,8,1,3,7,5,2,4]=>[7,8,4,1,6,3,5,2]
[3,7,8,1,2,6,5,4]=>[8,7,1,4,5,2,6,3]
[1,3,7,8,2,6,5,4]=>[8,7,5,2,3,6,1,4]
[2,3,7,8,1,6,5,4]=>[8,7,5,1,2,3,6,4]
[2,7,8,1,3,6,5,4]=>[8,7,4,5,1,2,6,3]
[8,1,2,6,7,3,5,4]=>[8,6,4,7,2,3,5,1]
[8,1,2,6,7,5,3,4]=>[7,4,8,6,2,3,5,1]
[8,2,5,7,1,3,6,4]=>[8,5,2,3,6,7,4,1]
[2,8,1,6,7,3,5,4]=>[8,6,4,7,1,3,5,2]
[2,6,8,3,7,1,5,4]=>[8,4,2,6,7,1,5,3]
[2,8,6,4,7,1,5,3]=>[4,8,6,3,7,1,5,2]
[6,8,3,4,1,7,5,2]=>[3,4,1,8,7,5,6,2]
[6,8,3,7,4,1,5,2]=>[8,3,1,6,5,7,4,2]
[2,6,8,3,7,5,1,4]=>[7,2,8,4,6,1,5,3]
[2,8,1,6,7,5,3,4]=>[7,4,8,6,1,3,5,2]
[8,2,5,7,1,6,3,4]=>[7,3,8,2,5,6,4,1]
[8,4,7,2,3,6,1,5]=>[4,2,5,7,8,6,3,1]
[8,5,7,4,2,6,1,3]=>[5,2,7,4,8,6,3,1]
[8,3,5,7,4,1,6,2]=>[3,8,2,6,5,7,4,1]
[8,5,2,4,7,1,6,3]=>[4,8,3,2,6,7,5,1]
[8,2,3,5,7,1,6,4]=>[4,8,2,3,6,7,5,1]
[8,2,4,7,3,6,1,5]=>[3,5,7,8,2,6,4,1]
[8,2,7,1,4,6,3,5]=>[5,7,8,2,4,6,3,1]
[8,7,1,2,4,6,3,5]=>[5,7,8,3,4,6,2,1]
[8,7,1,4,6,2,3,5]=>[6,4,7,8,3,5,2,1]
[8,4,7,1,3,6,2,5]=>[5,2,7,8,4,6,3,1]
[1,6,8,3,7,2,5,4]=>[8,4,2,6,7,5,1,3]
[8,3,5,7,1,2,6,4]=>[8,2,5,3,6,7,4,1]
[5,8,7,1,3,6,2,4]=>[5,1,7,8,4,6,3,2]
[8,5,4,7,1,6,2,3]=>[7,3,2,8,5,6,4,1]
[8,5,4,7,1,2,6,3]=>[8,5,3,2,6,7,4,1]
[8,5,1,4,7,2,6,3]=>[4,8,6,2,7,3,5,1]
[1,4,6,8,2,7,5,3]=>[3,8,2,7,5,6,1,4]
[1,6,5,8,2,7,4,3]=>[3,2,8,7,5,6,1,4]
[8,5,6,3,1,7,4,2]=>[4,2,8,7,5,3,6,1]
[5,6,2,8,1,7,4,3]=>[1,8,7,3,2,5,6,4]
[1,8,4,5,7,2,6,3]=>[3,4,8,6,7,5,1,2]
[5,8,7,3,6,1,2,4]=>[1,6,4,7,8,5,3,2]
[8,3,5,7,1,6,2,4]=>[7,2,3,8,5,6,4,1]
[1,6,8,3,7,5,2,4]=>[7,2,8,4,6,5,1,3]
[6,3,8,2,7,5,1,4]=>[7,8,2,1,4,6,5,3]
[6,8,4,2,7,1,5,3]=>[8,4,3,1,6,7,5,2]
[8,6,4,7,3,1,5,2]=>[3,8,6,5,2,7,4,1]
[8,4,5,7,3,1,6,2]=>[2,3,8,6,5,7,4,1]
[8,4,2,5,7,1,6,3]=>[4,2,8,3,6,7,5,1]
[8,3,4,7,2,6,1,5]=>[2,3,5,7,8,6,4,1]
[8,7,1,3,4,6,2,5]=>[4,5,7,8,3,6,2,1]
[8,3,7,2,4,6,1,5]=>[2,4,5,7,8,6,3,1]
[2,8,4,5,7,1,6,3]=>[3,4,8,6,7,1,5,2]
[8,7,3,4,5,1,6,2]=>[3,4,8,6,5,7,2,1]
[8,7,4,5,2,6,1,3]=>[5,3,7,4,8,6,2,1]
[5,8,7,2,3,6,1,4]=>[4,1,5,7,8,6,3,2]
[8,7,2,3,4,6,1,5]=>[3,4,5,7,8,6,2,1]
[8,7,2,3,6,1,4,5]=>[3,4,6,7,8,5,2,1]
[1,3,2,8,5,4,7,6]=>[5,8,2,6,7,1,3,4]
[4,2,8,5,3,7,1,6]=>[1,5,4,7,8,2,6,3]
[5,2,1,8,4,3,7,6]=>[5,8,2,1,6,7,3,4]
[6,2,8,4,3,7,5,1]=>[4,8,5,1,7,2,6,3]
[7,2,8,4,3,1,6,5]=>[5,4,8,2,6,1,7,3]
[7,3,4,8,2,1,6,5]=>[2,3,5,8,6,1,7,4]
[6,3,4,8,2,7,5,1]=>[8,2,3,1,5,7,6,4]
[5,3,4,1,8,2,7,6]=>[2,3,1,8,6,7,4,5]
[8,1,4,5,2,3,7,6]=>[3,8,5,2,4,6,7,1]
[8,1,5,4,3,2,7,6]=>[5,4,3,8,2,6,7,1]
[3,5,4,2,8,1,7,6]=>[3,1,2,8,4,6,7,5]
[4,5,3,2,8,7,1,6]=>[1,3,2,7,8,4,6,5]
[6,4,3,2,8,7,5,1]=>[2,8,3,1,7,4,6,5]
[6,5,3,2,1,7,8,4]=>[4,3,6,2,1,8,5,7]
[5,6,3,2,7,8,4,1]=>[3,1,5,2,8,4,7,6]
[4,1,6,3,2,7,8,5]=>[4,1,6,3,8,2,5,7]
[3,6,4,2,7,8,1,5]=>[3,7,1,4,2,5,8,6]
[8,1,6,4,3,7,2,5]=>[5,4,7,3,8,2,6,1]
[8,1,7,4,3,6,5,2]=>[4,8,5,7,6,2,3,1]
[2,7,4,1,3,6,5,8]=>[7,4,1,3,5,6,2,8]
[3,7,4,2,6,1,5,8]=>[4,1,3,6,7,5,2,8]
[4,1,7,3,2,6,5,8]=>[4,1,7,5,6,2,3,8]
[5,7,3,2,6,4,8,1]=>[3,1,6,4,5,2,8,7]
[6,7,3,2,5,4,1,8]=>[3,7,4,1,6,5,2,8]
[7,6,3,2,1,5,4,8]=>[4,3,7,5,6,2,1,8]
[4,7,5,6,2,3,8,1]=>[5,1,3,6,4,2,8,7]
[3,1,7,5,6,2,4,8]=>[6,1,4,7,5,2,3,8]
[2,7,5,6,1,3,4,8]=>[5,6,3,7,1,4,2,8]
[2,6,5,7,1,3,8,4]=>[8,5,3,1,2,6,4,7]
[4,6,5,7,2,8,1,3]=>[5,1,3,2,7,4,8,6]
[5,6,4,7,2,8,3,1]=>[1,3,2,8,5,4,7,6]
[6,5,4,1,7,2,8,3]=>[8,6,4,3,2,1,5,7]
[7,5,4,6,2,1,8,3]=>[5,3,2,8,6,4,1,7]
[6,4,5,7,1,8,2,3]=>[2,7,3,1,8,5,4,6]
[5,4,6,1,7,8,2,3]=>[2,1,7,5,3,8,4,6]
[8,1,5,6,7,2,3,4]=>[6,3,7,4,8,2,5,1]
[2,1,4,6,8,7,3,5]=>[4,7,8,1,3,6,2,5]
[3,4,6,8,7,1,2,5]=>[6,1,2,3,7,8,5,4]
[4,3,1,6,8,7,2,5]=>[2,1,4,7,8,6,3,5]
[5,3,6,8,7,2,4,1]=>[3,1,6,8,2,7,5,4]
[6,3,5,1,8,7,2,4]=>[7,2,3,1,8,6,4,5]
[7,3,5,8,6,2,1,4]=>[3,7,2,6,1,8,5,4]
[7,2,8,5,6,3,1,4]=>[7,6,4,8,2,1,5,3]
[6,2,8,5,1,7,3,4]=>[7,8,5,2,1,4,6,3]
[4,2,1,8,6,7,3,5]=>[1,7,5,8,2,6,3,4]
[1,3,2,8,6,7,4,5]=>[7,5,8,2,6,1,3,4]
[2,3,8,6,7,1,4,5]=>[6,7,4,8,1,2,5,3]
[8,1,3,2,6,7,4,5]=>[7,3,5,8,2,4,6,1]
[2,3,8,7,1,6,5,4]=>[8,7,5,6,1,2,4,3]
[4,2,8,7,6,1,5,3]=>[8,1,6,7,5,2,4,3]
[5,2,8,7,6,4,1,3]=>[1,7,8,6,5,2,4,3]
[7,2,1,8,6,5,4,3]=>[8,7,6,2,5,3,1,4]
[7,3,6,1,8,5,4,2]=>[8,7,2,6,4,3,1,5]
[6,3,7,8,5,4,2,1]=>[3,1,8,7,2,6,5,4]
[5,3,7,8,6,4,1,2]=>[1,7,3,8,2,6,5,4]
[4,3,1,7,8,6,5,2]=>[1,4,8,2,7,6,3,5]
[3,4,7,8,6,1,5,2]=>[8,6,1,2,3,7,5,4]
[8,1,5,7,6,2,4,3]=>[3,8,6,7,5,2,4,1]
[3,5,7,6,8,1,4,2]=>[8,2,6,1,4,3,7,5]
[4,5,7,6,8,3,1,2]=>[7,1,2,4,3,8,6,5]
[5,4,1,7,6,8,3,2]=>[2,1,5,4,8,7,3,6]
[6,4,7,5,8,3,2,1]=>[4,2,1,3,8,7,6,5]
[7,4,6,5,1,8,3,2]=>[8,2,7,5,4,3,1,6]
[7,5,6,4,3,1,8,2]=>[2,8,6,5,4,3,1,7]
[6,5,1,7,4,3,8,2]=>[6,5,4,2,1,8,3,7]
[4,6,7,5,3,8,1,2]=>[2,7,1,5,4,3,8,6]
[3,6,7,5,1,4,8,2]=>[6,2,8,1,5,4,3,7]
[8,1,6,7,5,4,2,3]=>[7,3,8,6,5,2,4,1]
[8,1,7,6,5,4,3,2]=>[8,7,6,5,4,2,3,1]
[2,7,6,1,5,4,3,8]=>[7,6,4,5,1,3,2,8]
[3,7,6,5,1,4,2,8]=>[7,5,6,1,4,3,2,8]
[4,7,6,5,3,1,2,8]=>[6,7,1,5,4,3,2,8]
[8,6,4,3,1,5,7,2]=>[6,4,3,8,5,2,7,1]
[8,6,4,1,5,2,7,3]=>[8,6,4,3,5,2,7,1]
[8,6,5,1,3,2,7,4]=>[5,8,4,6,3,2,7,1]
[8,6,3,1,7,2,4,5]=>[6,3,7,8,4,2,5,1]
[8,7,3,1,5,2,4,6]=>[6,3,7,4,5,8,2,1]
[5,3,1,7,2,4,6,8]=>[5,2,6,1,7,3,4,8]
[8,7,1,2,4,5,3,6]=>[5,7,3,4,6,8,2,1]
[8,6,1,2,4,7,3,5]=>[5,7,8,3,4,2,6,1]
[8,5,1,2,6,7,3,4]=>[7,5,8,3,2,4,6,1]
[8,5,1,6,4,2,7,3]=>[8,6,5,3,2,4,7,1]
[8,5,1,3,6,4,7,2]=>[6,4,5,2,8,3,7,1]
[8,6,1,5,3,4,7,2]=>[5,6,4,8,3,2,7,1]
[8,6,1,5,2,4,7,3]=>[6,8,5,3,4,2,7,1]
[8,6,1,2,5,7,3,4]=>[7,5,8,3,4,2,6,1]
[8,6,1,2,7,4,3,5]=>[7,6,8,3,4,2,5,1]
[8,7,1,2,5,4,3,6]=>[7,6,3,4,5,8,2,1]
[5,1,4,2,3,8,6,7]=>[7,3,8,2,1,4,5,6]
[5,1,4,2,7,3,6,8]=>[6,3,7,2,1,4,5,8]
[7,1,5,8,2,6,3,4]=>[7,3,8,5,6,2,1,4]
[5,7,8,1,2,4,6,3]=>[6,1,8,4,5,2,7,3]
[5,7,8,1,3,4,6,2]=>[5,1,6,8,4,2,7,3]
[5,8,1,7,3,4,6,2]=>[5,1,6,8,7,3,4,2]
[8,1,5,7,2,4,6,3]=>[6,3,8,5,7,2,4,1]
[8,4,1,2,7,6,3,5]=>[7,2,8,6,3,4,5,1]
[1,4,2,3,8,7,5,6]=>[2,7,8,6,1,3,4,5]
[1,4,2,7,6,3,5,8]=>[2,6,7,5,1,3,4,8]
[6,1,2,8,7,5,3,4]=>[7,8,6,5,2,1,3,4]
[6,1,2,4,8,7,5,3]=>[8,7,4,6,2,1,3,5]
[3,1,8,4,6,7,5,2]=>[5,8,1,4,7,6,2,3]
[3,1,7,6,4,8,5,2]=>[8,5,1,4,3,7,2,6]
[7,1,2,4,6,8,5,3]=>[5,8,4,7,2,3,1,6]
[7,1,2,6,8,5,3,4]=>[7,4,8,6,2,3,1,5]
[6,1,2,7,8,5,3,4]=>[7,4,8,6,2,1,3,5]
[6,1,2,7,4,8,5,3]=>[8,5,4,7,2,1,3,6]
[3,1,6,4,7,8,5,2]=>[5,1,3,8,4,7,2,6]
[5,7,1,3,8,4,6,2]=>[6,1,8,4,7,3,2,5]
[5,7,1,8,4,2,6,3]=>[1,8,6,5,7,3,2,4]
[7,1,5,3,2,8,6,4]=>[8,4,3,7,2,5,1,6]
[7,1,4,5,2,8,6,3]=>[3,4,8,7,2,5,1,6]
[4,7,3,1,5,8,6,2]=>[1,3,8,5,7,4,2,6]
[4,8,7,3,1,5,6,2]=>[6,1,4,8,5,7,3,2]
[8,1,7,4,5,2,6,3]=>[4,8,6,5,7,2,3,1]
[8,1,7,5,3,2,6,4]=>[5,8,6,4,7,2,3,1]
[8,3,7,1,2,6,4,5]=>[2,7,8,4,5,6,3,1]
[3,1,2,8,4,7,5,6]=>[1,7,8,5,6,2,3,4]
[3,1,2,8,6,4,5,7]=>[1,6,7,5,8,2,3,4]
[3,1,7,2,6,4,5,8]=>[1,6,7,4,5,2,3,8]
[1,4,2,3,8,6,5,7]=>[2,7,6,8,1,3,4,5]
[1,4,2,3,8,5,7,6]=>[2,8,6,7,1,3,4,5]
[5,8,1,7,2,4,6,3]=>[6,1,8,5,7,3,4,2]
[5,8,1,3,4,7,6,2]=>[8,4,1,5,7,3,6,2]
[3,1,8,6,4,7,5,2]=>[8,5,1,4,7,6,2,3]
[8,1,2,6,7,4,5,3]=>[6,4,8,7,2,3,5,1]
[6,1,2,8,7,3,5,4]=>[8,6,7,5,2,1,3,4]
[1,2,3,5,8,4,7,6]=>[8,4,6,7,1,2,3,5]
[1,2,3,5,8,6,4,7]=>[7,4,6,8,1,2,3,5]
[7,1,2,8,3,6,5,4]=>[8,7,5,6,2,3,1,4]
[7,1,2,8,6,4,5,3]=>[6,8,7,5,2,3,1,4]
[3,1,7,8,4,6,5,2]=>[8,5,1,3,7,6,2,4]
[3,1,8,7,6,4,5,2]=>[6,8,7,1,5,4,2,3]
[8,1,2,7,4,6,5,3]=>[8,5,7,6,2,3,4,1]
[8,1,2,7,3,6,5,4]=>[8,7,5,6,2,3,4,1]
[1,2,3,5,8,7,4,6]=>[7,8,4,6,1,2,3,5]
[1,2,3,6,8,5,4,7]=>[4,7,6,8,1,2,3,5]
[7,8,5,6,3,1,4,2]=>[8,6,5,3,1,7,4,2]
[7,8,5,3,6,1,2,4]=>[6,4,7,3,1,8,5,2]
[7,5,6,3,1,4,2,8]=>[7,5,4,2,6,3,1,8]
[7,5,8,3,1,4,2,6]=>[7,5,4,2,6,1,8,3]
[7,8,5,3,1,4,2,6]=>[7,5,4,6,3,1,8,2]
[7,8,5,3,1,6,2,4]=>[7,4,8,5,3,1,6,2]
[7,8,5,3,1,6,4,2]=>[4,8,7,5,3,1,6,2]
[7,8,5,3,6,1,4,2]=>[4,8,6,3,1,7,5,2]
[7,8,5,3,6,4,1,2]=>[4,7,3,1,8,6,5,2]
[7,8,5,3,4,1,6,2]=>[4,8,6,5,3,1,7,2]
[7,8,5,3,1,4,6,2]=>[6,4,8,5,3,1,7,2]
[7,8,5,3,1,2,6,4]=>[8,5,4,6,3,1,7,2]
[7,5,3,8,1,2,6,4]=>[3,8,5,2,6,1,7,4]
[7,5,8,3,4,1,6,2]=>[4,2,8,6,5,1,7,3]
[7,5,8,3,4,6,1,2]=>[4,2,7,5,1,8,6,3]
[7,5,6,3,4,1,8,2]=>[4,2,8,6,5,3,1,7]
[7,5,6,3,1,4,8,2]=>[6,4,2,8,5,3,1,7]
[7,5,6,3,1,2,8,4]=>[8,5,4,2,6,3,1,7]
[7,5,3,6,1,2,8,4]=>[3,8,5,2,6,4,1,7]
[7,5,3,4,1,2,8,6]=>[3,8,5,4,2,6,1,7]
[7,5,3,1,4,2,6,8]=>[6,4,3,5,2,7,1,8]
[7,5,3,1,4,2,8,6]=>[5,3,8,4,2,6,1,7]
[7,5,3,1,6,2,8,4]=>[3,8,6,4,2,5,1,7]
[7,5,3,1,6,4,8,2]=>[3,6,5,2,8,4,1,7]
[7,5,3,6,1,4,8,2]=>[3,6,2,8,5,4,1,7]
[7,5,3,6,4,1,8,2]=>[8,3,2,6,5,4,1,7]
[7,5,3,6,4,8,1,2]=>[7,3,2,5,4,1,8,6]
[7,5,3,8,4,6,1,2]=>[7,3,2,5,1,8,6,4]
[7,5,3,8,1,4,6,2]=>[3,6,2,8,5,1,7,4]
[7,5,3,1,8,4,6,2]=>[3,6,2,8,7,4,1,5]
[7,5,3,1,8,2,6,4]=>[3,8,6,2,7,4,1,5]
[7,5,3,1,8,2,4,6]=>[6,3,7,2,8,4,1,5]
[7,5,3,1,6,2,4,8]=>[6,3,7,4,2,5,1,8]
[7,5,3,1,6,4,2,8]=>[3,7,6,4,2,5,1,8]
[7,5,3,1,8,4,2,6]=>[3,7,6,2,8,4,1,5]
[7,5,3,1,8,6,2,4]=>[3,7,2,8,6,4,1,5]
[7,5,3,8,1,6,4,2]=>[8,3,2,7,5,1,6,4]
[7,5,3,8,6,1,4,2]=>[8,3,2,6,1,7,5,4]
[7,5,3,8,6,4,1,2]=>[7,2,8,3,1,6,5,4]
[7,5,8,3,6,4,1,2]=>[4,2,7,1,8,6,5,3]
[7,5,8,3,6,1,4,2]=>[4,2,8,6,1,7,5,3]
[7,5,8,3,1,6,4,2]=>[4,2,8,7,5,1,6,3]
[7,5,8,3,1,6,2,4]=>[7,4,2,8,5,1,6,3]
[7,5,3,6,1,4,2,8]=>[3,7,5,2,6,4,1,8]
[7,5,3,6,4,1,2,8]=>[3,6,2,7,5,4,1,8]
[7,5,3,8,4,1,2,6]=>[3,6,2,7,5,1,8,4]
[7,5,8,6,3,1,2,4]=>[6,2,7,5,1,8,4,3]
[7,5,8,6,3,1,4,2]=>[2,8,6,5,1,7,4,3]
[7,5,8,6,3,4,1,2]=>[2,7,5,1,8,6,4,3]
[7,5,6,8,3,1,4,2]=>[2,8,6,5,3,1,7,4]
[7,5,6,3,8,1,2,4]=>[6,4,2,7,3,1,8,5]
[7,5,3,4,1,6,2,8]=>[3,7,5,4,2,6,1,8]
[7,5,3,4,1,8,2,6]=>[3,7,4,2,8,5,1,6]
[7,5,6,3,1,8,2,4]=>[7,4,2,8,5,3,1,6]
[7,5,6,3,1,8,4,2]=>[4,2,8,7,5,3,1,6]
[7,5,6,3,8,1,4,2]=>[4,2,8,6,3,1,7,5]
[7,5,6,3,8,4,1,2]=>[4,2,7,3,1,8,6,5]
[7,5,3,6,8,4,1,2]=>[7,3,2,4,1,8,6,5]
[7,5,3,6,8,1,4,2]=>[8,3,2,6,4,1,7,5]
[7,5,3,6,1,8,4,2]=>[8,3,2,7,5,4,1,6]
[7,5,3,1,6,8,4,2]=>[3,5,2,8,7,4,1,6]
[7,5,3,1,6,8,2,4]=>[3,7,5,2,8,4,1,6]
[7,5,3,1,4,8,2,6]=>[5,3,7,2,8,4,1,6]
[7,5,3,1,4,6,2,8]=>[5,3,7,4,2,6,1,8]
[7,5,3,1,2,6,4,8]=>[7,4,3,5,2,6,1,8]
[7,5,3,1,2,8,4,6]=>[7,3,8,4,2,5,1,6]
[7,5,3,1,2,8,6,4]=>[3,8,7,4,2,5,1,6]
[7,5,3,1,4,8,6,2]=>[3,8,5,2,7,4,1,6]
[7,5,3,4,1,8,6,2]=>[3,4,2,8,7,5,1,6]
[7,5,3,4,8,1,6,2]=>[3,4,2,8,6,1,7,5]
[7,5,3,4,8,6,1,2]=>[3,4,2,7,1,8,6,5]
[7,5,3,4,6,1,8,2]=>[3,4,2,8,6,5,1,7]
[7,5,3,4,1,6,8,2]=>[3,6,4,2,8,5,1,7]
[7,5,3,1,4,6,8,2]=>[5,3,6,2,8,4,1,7]
[7,5,3,1,2,6,8,4]=>[6,3,8,4,2,5,1,7]
[7,5,3,1,2,4,8,6]=>[8,4,3,5,2,6,1,7]
[3,6,2,5,4,1,8,7]=>[5,1,3,4,2,8,6,7]
[3,5,2,8,4,7,6,1]=>[2,8,1,5,7,3,6,4]
[5,4,7,3,2,8,6,1]=>[2,1,4,8,5,3,7,6]
[5,4,8,3,2,7,6,1]=>[2,1,4,8,5,7,6,3]
[6,4,5,3,2,1,8,7]=>[2,5,4,3,1,8,6,7]
[5,3,2,6,4,1,8,7]=>[2,5,3,1,4,8,6,7]
[4,5,8,3,2,7,6,1]=>[1,2,4,8,5,7,6,3]
[4,7,6,3,8,5,2,1]=>[8,4,1,3,2,7,6,5]
[4,8,6,3,7,5,2,1]=>[8,4,1,3,7,6,5,2]
[4,8,5,3,2,7,6,1]=>[4,1,3,8,5,7,6,2]
[5,8,4,3,2,7,6,1]=>[1,4,3,8,5,7,6,2]
[5,3,2,8,4,7,6,1]=>[8,2,1,5,7,3,6,4]
[2,1,5,8,4,7,6,3]=>[8,3,5,7,1,6,2,4]
[5,3,2,7,4,8,6,1]=>[8,2,1,5,3,4,7,6]
[5,7,4,3,2,8,6,1]=>[1,4,3,8,5,2,7,6]
[4,7,5,3,2,8,6,1]=>[4,1,3,8,5,2,7,6]
[4,7,8,3,6,5,2,1]=>[8,4,1,2,7,6,5,3]
[4,6,8,3,7,5,2,1]=>[2,8,1,4,7,6,5,3]
[7,6,4,3,8,5,2,1]=>[3,8,4,2,1,7,6,5]
[7,3,2,6,8,5,4,1]=>[4,8,2,7,3,1,6,5]
[2,1,8,6,7,5,4,3]=>[4,8,7,6,1,5,2,3]
[8,3,2,6,7,5,4,1]=>[4,8,2,7,3,6,5,1]
[8,6,4,3,7,5,2,1]=>[3,8,4,2,7,6,5,1]
[8,5,7,6,4,3,2,1]=>[8,2,7,6,5,4,3,1]
[8,4,5,3,2,7,6,1]=>[2,4,3,8,5,7,6,1]
[8,4,7,3,6,5,2,1]=>[8,2,4,7,6,5,3,1]
[8,4,6,3,7,5,2,1]=>[8,2,4,3,7,6,5,1]
[7,4,6,3,8,5,2,1]=>[8,2,4,3,1,7,6,5]
[3,7,2,6,8,5,4,1]=>[4,8,7,1,3,2,6,5]
[3,8,2,6,7,5,4,1]=>[4,8,7,1,3,6,5,2]
[3,8,2,5,4,7,6,1]=>[4,8,1,3,5,7,6,2]
[3,7,2,8,6,5,4,1]=>[8,7,6,1,3,2,5,4]
[3,6,2,8,7,5,4,1]=>[2,8,7,1,6,3,5,4]
[6,4,7,3,8,5,2,1]=>[8,2,1,4,3,7,6,5]
[6,4,8,3,7,5,2,1]=>[8,2,1,4,7,6,5,3]
[7,4,8,3,6,5,2,1]=>[8,2,4,1,7,6,5,3]
[7,4,5,3,2,8,6,1]=>[2,4,3,8,5,1,7,6]
[7,5,4,3,2,8,6,1]=>[4,3,2,8,5,1,7,6]
[7,3,2,5,4,8,6,1]=>[2,4,8,3,5,1,7,6]
[2,1,7,5,4,8,6,3]=>[4,8,5,1,3,7,2,6]
[7,3,2,8,6,5,4,1]=>[8,7,2,6,3,1,5,4]
[7,8,4,3,6,5,2,1]=>[3,8,4,1,7,6,5,2]
[6,8,5,7,4,3,2,1]=>[1,3,8,7,6,5,4,2]
[6,8,4,3,7,5,2,1]=>[3,1,8,4,7,6,5,2]
[6,3,2,8,7,5,4,1]=>[8,7,2,1,6,3,5,4]
[6,3,2,7,8,5,4,1]=>[4,8,2,1,7,3,6,5]
[6,7,4,3,8,5,2,1]=>[3,1,8,4,2,7,6,5]
[4,6,8,3,5,7,1,2]=>[4,1,2,7,5,8,6,3]
[6,8,1,2,4,5,7,3]=>[5,6,8,3,1,4,7,2]
[3,5,8,2,4,7,1,6]=>[4,1,2,5,7,8,6,3]
[8,3,5,2,4,1,6,7]=>[2,4,6,5,3,7,8,1]
[4,2,5,7,3,6,1,8]=>[3,1,5,7,2,6,4,8]
[4,5,2,8,3,1,6,7]=>[1,6,3,2,5,7,8,4]
[4,2,5,8,3,7,1,6]=>[3,1,5,7,8,2,6,4]
[2,1,6,8,4,7,3,5]=>[5,3,7,8,1,6,2,4]
[1,2,5,8,3,6,7,4]=>[3,6,8,5,7,1,2,4]
[5,3,6,8,4,7,1,2]=>[3,1,7,2,5,8,6,4]
[1,6,5,8,2,4,7,3]=>[6,3,2,8,5,7,1,4]
[3,1,2,6,8,5,7,4]=>[1,4,6,8,7,2,3,5]
[1,4,3,8,2,6,7,5]=>[2,6,8,3,5,7,1,4]
[5,4,8,3,2,1,6,7]=>[2,1,6,5,4,7,8,3]
[5,4,3,7,2,6,1,8]=>[3,2,1,5,7,6,4,8]
[4,3,6,2,7,5,1,8]=>[1,7,2,4,3,6,5,8]
[4,6,3,2,1,8,5,7]=>[1,4,3,7,2,8,5,6]
[4,1,7,3,2,5,8,6]=>[4,1,8,5,6,2,3,7]
[4,3,1,7,8,2,6,5]=>[1,8,2,6,4,7,3,5]
[3,5,1,2,7,8,6,4]=>[5,1,2,8,7,3,4,6]
[7,5,1,4,8,2,6,3]=>[4,8,6,2,7,3,1,5]
[5,4,7,3,8,6,1,2]=>[2,1,4,7,3,8,6,5]
[5,8,4,7,6,3,1,2]=>[1,3,7,8,6,5,4,2]
[5,8,7,1,4,2,6,3]=>[1,8,6,4,5,7,3,2]
[8,3,5,1,2,7,6,4]=>[8,2,7,4,3,5,6,1]
[4,8,3,1,7,2,6,5]=>[1,3,8,6,7,4,5,2]
[1,8,4,3,5,2,7,6]=>[4,3,5,8,6,7,1,2]
[4,6,3,1,5,2,8,7]=>[1,5,3,8,4,2,6,7]
[4,7,3,6,5,2,1,8]=>[7,1,3,6,5,4,2,8]
[5,3,7,6,4,2,1,8]=>[1,7,6,2,5,4,3,8]
[1,6,3,4,2,8,7,5]=>[8,3,4,2,7,1,5,6]
[1,8,3,6,2,7,5,4]=>[8,7,3,5,4,6,1,2]
[1,6,8,7,4,2,5,3]=>[2,8,6,5,7,4,1,3]
[6,4,8,7,5,3,1,2]=>[7,1,8,2,6,5,4,3]
[7,6,4,3,8,5,1,2]=>[4,3,7,2,1,8,6,5]
[1,7,6,2,8,4,5,3]=>[6,8,7,4,3,1,2,5]
[7,1,3,2,6,8,5,4]=>[5,8,3,7,2,4,1,6]
[1,5,3,2,7,4,8,6]=>[8,3,2,6,1,4,5,7]
[6,3,2,1,8,5,4,7]=>[2,7,3,6,1,8,4,5]
[6,5,3,2,7,4,1,8]=>[3,7,4,2,1,6,5,8]
[5,2,6,3,7,4,1,8]=>[7,4,2,1,3,6,5,8]
[2,8,5,3,1,6,4,7]=>[4,7,5,1,3,6,8,2]
[2,1,7,3,8,5,4,6]=>[7,6,8,1,4,2,3,5]
[1,6,2,3,7,8,5,4]=>[5,8,7,3,1,2,4,6]
[1,6,7,2,8,4,5,3]=>[6,2,8,7,4,1,3,5]
[5,7,1,8,2,4,6,3]=>[6,1,8,5,7,3,2,4]
[5,1,2,7,8,3,6,4]=>[8,6,4,1,7,2,3,5]
[2,4,1,7,8,6,3,5]=>[7,2,4,8,1,6,3,5]
[4,2,1,7,3,8,5,6]=>[7,1,8,2,5,3,4,6]
[6,2,8,4,3,1,5,7]=>[6,5,2,4,1,7,8,3]
[7,3,2,1,8,4,5,6]=>[3,2,6,7,8,4,1,5]
[7,8,3,2,5,6,1,4]=>[3,7,4,5,1,8,6,2]
[7,1,8,2,4,5,6,3]=>[5,6,8,4,7,2,1,3]
[8,7,6,1,2,4,5,3]=>[6,8,4,5,7,3,2,1]
[8,3,7,6,2,1,4,5]=>[6,2,5,7,8,4,3,1]
[3,2,8,7,5,1,4,6]=>[6,7,1,5,8,2,4,3]
[8,3,6,5,2,1,4,7]=>[6,2,5,7,4,3,8,1]
[7,6,3,5,2,4,1,8]=>[3,5,7,6,4,2,1,8]
[7,4,6,2,5,3,1,8]=>[2,7,4,6,5,3,1,8]
[8,2,4,1,6,5,3,7]=>[3,7,2,6,4,5,8,1]
[4,2,8,1,7,5,3,6]=>[1,7,6,8,2,4,5,3]
[8,2,4,1,7,6,3,5]=>[3,7,8,2,6,4,5,1]
[8,7,1,5,6,2,4,3]=>[8,6,4,7,3,5,2,1]
[8,5,7,3,6,4,1,2]=>[4,2,7,8,6,5,3,1]
[6,8,3,7,5,4,1,2]=>[7,1,8,3,6,5,4,2]
[8,1,6,7,5,2,4,3]=>[8,6,3,7,5,2,4,1]
[8,1,2,6,4,3,7,5]=>[5,8,6,2,3,4,7,1]
[2,8,1,7,5,4,3,6]=>[7,6,5,8,1,3,4,2]
[2,5,1,8,6,4,3,7]=>[2,7,6,1,5,8,3,4]
[5,7,2,6,4,3,1,8]=>[1,7,6,3,5,4,2,8]
[6,2,7,5,4,3,1,8]=>[7,6,5,2,1,4,3,8]
[2,1,8,6,5,4,3,7]=>[7,6,5,1,4,8,2,3]
[1,2,7,5,4,3,8,6]=>[5,4,8,6,1,2,3,7]
[1,7,2,4,3,8,6,5]=>[8,4,7,3,5,1,2,6]
[1,7,2,8,3,6,5,4]=>[8,7,5,6,3,1,2,4]
[1,7,8,6,5,2,4,3]=>[8,6,2,7,5,4,1,3]
[7,3,8,6,5,4,1,2]=>[7,8,6,2,1,5,4,3]
[1,8,7,6,5,2,4,3]=>[8,6,7,5,4,3,1,2]
[8,1,7,3,2,6,5,4]=>[8,4,7,5,6,2,3,1]
[5,1,4,3,2,8,7,6]=>[3,8,4,1,7,2,5,6]
[8,6,5,3,2,1,7,4]=>[5,4,8,6,3,2,7,1]
[8,6,3,2,1,7,4,5]=>[4,3,7,8,5,2,6,1]
[8,6,5,4,1,7,2,3]=>[7,8,5,4,3,2,6,1]
[8,6,5,1,7,3,2,4]=>[7,6,8,4,3,2,5,1]
[8,6,1,7,4,3,2,5]=>[7,6,5,8,3,2,4,1]
[4,6,3,2,7,5,1,8]=>[1,3,7,4,2,6,5,8]
[1,4,3,7,2,5,8,6]=>[2,8,3,5,6,1,4,7]
[7,4,8,3,1,6,2,5]=>[2,7,4,8,5,1,6,3]
[7,1,5,8,3,2,6,4]=>[5,3,8,6,7,2,1,4]
[5,7,4,1,8,2,6,3]=>[1,8,6,3,7,4,2,5]
[5,7,4,3,1,8,6,2]=>[1,4,3,8,7,5,2,6]
[1,8,7,2,5,4,6,3]=>[6,5,8,4,7,3,1,2]
[1,8,5,3,7,2,6,4]=>[8,4,3,6,7,5,1,2]
[4,3,1,8,7,5,2,6]=>[1,7,2,6,8,5,3,4]
[1,4,8,6,3,5,2,7]=>[5,7,2,6,4,8,1,3]
[7,4,6,3,5,2,1,8]=>[2,4,7,6,5,3,1,8]
[1,3,5,6,8,4,2,7]=>[3,4,7,2,6,8,1,5]
[3,5,4,8,7,1,2,6]=>[3,1,2,6,7,8,5,4]
[3,1,4,6,8,7,2,5]=>[1,4,7,8,3,6,2,5]
[1,6,3,8,7,2,5,4]=>[8,6,2,7,3,5,1,4]
[1,6,2,4,8,7,5,3]=>[8,7,4,2,6,1,3,5]
[8,4,1,6,7,5,3,2]=>[2,4,8,7,6,3,5,1]
[7,1,6,4,8,5,2,3]=>[4,7,3,8,6,2,1,5]
[7,3,6,8,5,1,2,4]=>[6,7,2,3,1,8,5,4]
[1,3,7,2,6,8,4,5]=>[7,5,8,2,4,1,3,6]
[3,6,5,2,8,1,4,7]=>[4,6,1,3,2,7,8,5]
[3,6,5,7,2,4,1,8]=>[5,3,1,2,7,6,4,8]
[4,2,6,3,8,1,5,7]=>[4,1,6,2,3,7,8,5]
[4,2,6,7,3,5,1,8]=>[1,5,3,7,2,6,4,8]
[3,6,2,4,7,5,1,8]=>[7,1,3,4,2,6,5,8]
[3,6,2,4,1,8,5,7]=>[1,3,4,7,2,8,5,6]
[7,3,8,2,1,6,4,5]=>[2,4,7,8,5,1,6,3]
[7,3,5,2,1,8,6,4]=>[8,2,4,3,7,5,1,6]
[8,7,6,4,3,1,5,2]=>[8,6,5,4,7,3,2,1]
[8,7,6,4,1,5,2,3]=>[7,8,5,4,6,3,2,1]
[3,8,7,2,1,4,6,5]=>[4,8,1,5,6,7,3,2]
[3,8,2,7,1,5,4,6]=>[7,1,3,5,6,8,4,2]
[3,6,8,2,1,5,4,7]=>[4,7,1,5,2,6,8,3]
[2,4,8,1,6,5,3,7]=>[7,2,6,1,4,5,8,3]
[4,2,8,1,5,7,3,6]=>[5,1,7,8,2,4,6,3]
[8,5,7,6,1,4,2,3]=>[7,2,8,5,6,4,3,1]
[8,6,1,7,3,5,4,2]=>[8,5,7,6,3,2,4,1]
[8,6,1,7,5,4,2,3]=>[7,8,6,5,3,2,4,1]
[1,6,2,8,7,3,5,4]=>[8,6,2,7,5,1,3,4]
[1,8,2,4,6,7,3,5]=>[7,4,5,8,3,6,1,2]
[2,8,5,4,7,1,3,6]=>[6,4,3,7,8,1,5,2]
[2,1,5,8,6,4,3,7]=>[7,3,6,1,5,8,2,4]
[7,2,5,6,4,3,1,8]=>[3,7,6,2,5,4,1,8]
[1,2,5,7,8,4,3,6]=>[7,3,6,4,8,1,2,5]
[1,2,7,4,8,6,3,5]=>[7,8,4,3,6,1,2,5]
[1,2,7,8,3,6,5,4]=>[8,7,5,3,6,1,2,4]
[7,1,8,6,3,5,4,2]=>[8,5,7,6,4,2,1,3]
[1,8,7,6,3,5,2,4]=>[5,7,8,6,4,3,1,2]
[1,8,7,4,6,3,2,5]=>[4,7,6,8,5,3,1,2]
[7,1,5,8,3,4,6,2]=>[5,3,6,8,7,2,1,4]
[7,1,6,4,2,3,5,8]=>[5,6,4,7,2,3,1,8]
[8,6,2,4,7,3,5,1]=>[4,6,8,3,2,7,5,1]
[8,6,2,4,5,7,3,1]=>[4,5,8,3,2,7,6,1]
[2,7,1,4,5,8,3,6]=>[4,5,7,8,1,3,2,6]
[7,1,6,4,5,2,3,8]=>[6,4,7,5,2,3,1,8]
[7,1,4,5,6,8,2,3]=>[3,4,7,5,8,2,1,6]
[7,1,4,6,5,8,3,2]=>[5,3,4,8,7,2,1,6]
[7,1,2,3,8,5,4,6]=>[7,6,8,2,3,4,1,5]
[7,1,5,4,3,8,2,6]=>[5,4,3,7,8,2,1,6]
[7,1,3,4,2,6,8,5]=>[3,4,6,8,2,5,1,7]
[7,1,5,4,6,2,8,3]=>[4,3,8,6,2,5,1,7]
[7,1,5,6,4,3,8,2]=>[3,6,5,4,8,2,1,7]
[7,1,6,5,4,3,2,8]=>[7,6,5,4,2,3,1,8]
[8,6,2,5,4,3,7,1]=>[6,5,3,4,2,8,7,1]
[2,5,1,7,4,3,6,8]=>[6,5,1,2,7,3,4,8]
[2,5,1,4,7,8,6,3]=>[5,2,8,1,4,7,3,6]
[3,5,1,4,8,6,2,7]=>[7,1,4,2,6,8,3,5]
[3,6,2,4,7,8,1,5]=>[7,1,3,4,2,5,8,6]
[5,6,2,4,8,7,1,3]=>[4,1,7,2,8,3,6,5]
[6,3,8,2,4,7,1,5]=>[2,4,5,1,7,8,6,3]
[6,5,8,7,2,3,1,4]=>[5,2,1,7,6,8,4,3]
[6,5,7,8,2,4,1,3]=>[5,2,1,7,3,8,6,4]
[6,3,4,2,8,5,1,7]=>[2,3,7,4,1,6,8,5]
[3,4,7,2,5,8,1,6]=>[1,2,4,5,7,3,8,6]
[4,6,8,1,3,5,2,7]=>[1,5,7,4,2,6,8,3]
[4,3,8,1,2,7,5,6]=>[2,1,7,8,4,5,6,3]
[3,6,4,1,7,2,5,8]=>[6,1,3,7,4,2,5,8]
[2,8,3,1,5,6,4,7]=>[3,5,7,1,4,6,8,2]
[3,8,7,1,5,4,2,6]=>[7,6,1,4,5,8,3,2]
[4,3,1,7,6,8,2,5]=>[1,7,2,5,4,8,3,6]
[3,4,1,7,5,6,8,2]=>[1,2,5,6,4,8,3,7]
[3,4,1,5,7,6,2,8]=>[1,2,7,4,6,3,5,8]
[3,7,4,1,6,2,8,5]=>[3,8,1,6,4,5,2,7]
[8,4,7,2,5,3,6,1]=>[2,6,4,5,8,7,3,1]
[4,7,8,1,2,3,6,5]=>[1,8,4,5,6,2,7,3]
[2,8,6,1,5,3,7,4]=>[8,6,4,5,1,3,7,2]
[7,6,5,1,3,8,2,4]=>[5,7,8,4,3,2,1,6]
[7,6,5,1,3,4,8,2]=>[5,6,8,4,3,2,1,7]
[7,2,6,4,1,3,8,5]=>[8,5,2,4,6,3,1,7]
[6,7,5,2,1,3,8,4]=>[4,8,5,1,6,3,2,7]
[8,4,5,3,7,2,6,1]=>[2,4,3,6,8,7,5,1]
[4,7,5,2,8,1,6,3]=>[8,1,4,3,6,2,7,5]
[2,6,4,3,1,5,7,8]=>[5,4,1,3,6,2,7,8]
[7,3,8,4,1,5,2,6]=>[7,2,5,4,6,1,8,3]
[7,2,3,4,1,6,5,8]=>[2,3,4,7,5,6,1,8]
[4,2,8,3,6,1,5,7]=>[4,1,6,7,2,5,8,3]
[6,8,5,7,2,1,3,4]=>[6,5,1,7,3,8,4,2]
[4,8,5,2,7,1,3,6]=>[1,4,6,3,7,8,5,2]
[6,3,5,2,1,7,4,8]=>[2,4,7,5,3,1,6,8]
[6,8,5,3,1,4,2,7]=>[7,5,4,1,6,3,8,2]
[3,6,5,4,2,8,1,7]=>[5,4,1,3,2,7,8,6]
[1,6,4,7,2,5,3,8]=>[3,7,5,2,6,1,4,8]
[1,6,4,8,2,5,3,7]=>[3,7,5,2,6,8,1,4]
[1,6,5,8,2,4,3,7]=>[7,5,3,2,6,8,1,4]
[1,6,8,2,4,3,7,5]=>[5,8,4,2,6,7,1,3]
[1,6,2,4,3,7,8,5]=>[4,6,8,3,1,2,5,7]
[1,5,6,2,4,7,3,8]=>[5,2,7,4,1,3,6,8]
[1,5,6,2,4,7,8,3]=>[5,2,6,3,8,1,4,7]
[1,5,8,2,4,7,3,6]=>[5,2,7,8,4,6,1,3]
[1,5,7,2,4,8,3,6]=>[5,2,7,8,4,1,3,6]
[1,6,5,7,2,4,3,8]=>[7,5,3,2,6,1,4,8]
[1,6,7,2,4,3,8,5]=>[5,8,4,2,6,1,3,7]
[1,5,6,7,2,4,8,3]=>[2,6,3,8,5,1,4,7]
[1,5,8,2,4,6,7,3]=>[5,2,6,8,4,7,1,3]
[1,5,7,2,4,6,8,3]=>[5,2,6,8,4,1,3,7]
[1,5,7,8,3,2,4,6]=>[2,6,5,7,3,8,1,4]
[1,5,8,3,2,4,6,7]=>[5,4,2,6,7,8,1,3]
[1,5,6,2,4,8,3,7]=>[5,2,7,3,8,1,4,6]
[1,7,6,2,8,3,4,5]=>[6,7,8,4,3,1,2,5]
[1,7,3,4,2,8,6,5]=>[8,3,4,7,5,1,2,6]
[1,6,2,4,3,8,7,5]=>[8,4,7,3,1,2,5,6]
[1,5,6,2,4,8,7,3]=>[2,8,5,3,7,1,4,6]
[1,5,8,7,3,2,4,6]=>[2,6,5,7,8,4,1,3]
[1,4,2,3,5,8,7,6]=>[2,8,7,1,3,4,5,6]
[1,5,2,3,4,8,7,6]=>[8,7,3,1,2,4,5,6]
[1,6,5,2,3,8,7,4]=>[8,7,4,3,1,2,5,6]
[1,7,4,2,8,6,5,3]=>[8,3,7,6,4,1,2,5]
[1,7,6,5,2,8,4,3]=>[8,7,5,4,3,1,2,6]
[1,6,7,5,2,3,8,4]=>[8,5,2,6,4,1,3,7]
[1,7,5,2,8,4,3,6]=>[7,6,3,8,4,1,2,5]
[1,7,5,6,2,8,3,4]=>[7,3,8,5,4,1,2,6]
[1,5,7,6,2,4,8,3]=>[2,6,8,5,4,1,3,7]
[1,5,8,3,2,4,7,6]=>[4,2,8,5,6,7,1,3]
[1,6,5,2,3,7,4,8]=>[7,4,5,3,1,2,6,8]
[1,6,5,2,3,7,8,4]=>[6,8,4,3,1,2,5,7]
[1,6,8,4,2,3,7,5]=>[8,5,4,2,6,7,1,3]
[1,7,4,6,2,8,3,5]=>[3,7,8,5,4,1,2,6]
[1,7,3,5,2,8,4,6]=>[7,3,4,8,5,1,2,6]
[1,6,8,5,2,3,7,4]=>[8,5,2,6,4,7,1,3]
[1,6,4,2,3,7,8,5]=>[6,3,8,4,1,2,5,7]
[1,6,4,2,3,7,5,8]=>[7,4,3,5,1,2,6,8]
[1,5,8,6,2,4,7,3]=>[2,6,8,5,4,7,1,3]
[1,5,7,3,2,4,8,6]=>[4,2,8,5,6,1,3,7]
[1,7,3,4,2,8,5,6]=>[3,4,7,8,5,1,2,6]
[1,7,4,2,8,5,3,6]=>[3,7,6,8,4,1,2,5]
[1,6,7,4,2,3,8,5]=>[8,5,4,2,6,1,3,7]
[1,6,4,2,3,8,5,7]=>[7,3,8,4,1,2,5,6]
[1,7,6,4,2,8,5,3]=>[4,8,7,5,3,1,2,6]
[1,7,5,2,8,6,4,3]=>[3,8,7,6,4,1,2,5]
[1,6,4,2,3,8,7,5]=>[3,8,7,4,1,2,5,6]
[7,3,5,6,1,4,8,2]=>[6,2,3,8,5,4,1,7]
[3,7,5,6,1,4,8,2]=>[6,3,8,1,5,4,2,7]
[8,2,4,1,6,7,5,3]=>[3,5,8,2,7,4,6,1]
[8,6,1,4,2,7,5,3]=>[4,8,7,3,5,2,6,1]
[3,6,1,4,2,8,5,7]=>[1,4,7,8,3,2,5,6]
[1,6,7,4,3,5,8,2]=>[5,4,2,6,3,8,1,7]
[6,7,1,4,3,5,8,2]=>[5,4,6,1,8,3,2,7]
[7,6,1,4,3,5,8,2]=>[5,4,6,8,3,2,1,7]
[3,5,4,1,6,7,8,2]=>[5,1,3,2,6,8,4,7]
[4,7,1,6,3,5,8,2]=>[1,5,6,4,8,3,2,7]
[3,1,4,7,6,5,8,2]=>[6,1,5,3,4,8,2,7]
[6,1,7,4,3,5,8,2]=>[5,4,6,3,1,8,2,7]
[7,1,6,4,3,5,8,2]=>[5,4,6,3,8,2,1,7]
[1,7,6,4,3,5,8,2]=>[5,4,6,3,2,8,1,7]
[8,1,6,4,2,7,5,3]=>[4,8,7,5,2,3,6,1]
[8,4,1,3,7,2,5,6]=>[4,6,2,7,8,3,5,1]
[4,7,1,3,8,2,5,6]=>[4,1,6,7,8,3,2,5]
[7,4,1,3,8,2,5,6]=>[4,6,2,7,8,3,1,5]
[1,3,6,4,2,8,5,7]=>[4,7,2,3,8,1,5,6]
[4,7,3,1,2,8,5,6]=>[1,7,3,8,4,5,2,6]
[4,7,8,1,2,6,5,3]=>[8,1,7,4,5,2,6,3]
[6,8,1,4,2,7,5,3]=>[4,8,7,3,1,5,6,2]
[1,8,6,4,2,7,5,3]=>[4,8,7,5,3,6,1,2]
[4,8,1,3,7,2,5,6]=>[4,1,6,7,8,3,5,2]
[8,7,1,3,6,2,5,4]=>[8,4,6,7,3,5,2,1]
[6,8,5,7,3,2,1,4]=>[1,7,6,5,3,8,4,2]
[1,8,4,3,7,2,5,6]=>[4,3,6,7,8,5,1,2]
[2,8,3,4,7,6,1,5]=>[7,8,3,4,6,1,5,2]
[3,7,8,4,6,2,1,5]=>[4,7,6,1,2,8,5,3]
[3,7,4,6,8,2,1,5]=>[7,3,6,1,4,2,8,5]
[2,4,3,7,8,6,1,5]=>[7,2,4,8,1,3,6,5]
[1,4,7,3,8,2,5,6]=>[2,4,6,7,3,8,1,5]
[5,7,6,8,3,2,1,4]=>[7,1,6,5,3,2,8,4]
[2,5,3,4,8,6,1,7]=>[7,3,1,2,4,6,8,5]
[3,7,5,4,8,2,1,6]=>[4,3,7,1,6,2,8,5]
[7,1,3,4,2,8,5,6]=>[3,4,7,8,2,5,1,6]
[6,1,4,3,8,2,5,7]=>[4,3,6,7,1,8,2,5]
[4,1,7,3,8,2,5,6]=>[4,1,6,7,3,8,2,5]
[8,1,4,3,7,2,5,6]=>[4,3,6,7,8,2,5,1]
[8,2,3,4,7,6,1,5]=>[7,8,2,3,4,6,5,1]
[4,2,3,7,8,6,1,5]=>[1,7,4,8,2,3,6,5]
[5,2,3,4,8,6,1,7]=>[7,2,3,1,4,6,8,5]
[2,7,5,6,3,8,1,4]=>[5,3,7,4,1,2,8,6]
[5,7,2,6,3,8,1,4]=>[5,1,7,3,4,2,8,6]
[5,7,2,6,8,4,1,3]=>[1,7,4,8,3,2,6,5]
[7,2,5,6,8,4,1,3]=>[3,7,4,8,2,1,6,5]
[4,2,3,8,5,6,1,7]=>[5,1,7,2,3,6,8,4]
[5,2,3,8,7,6,1,4]=>[7,1,8,6,2,3,5,4]
[8,2,3,7,5,6,1,4]=>[7,5,8,2,3,6,4,1]
[6,1,8,3,7,2,5,4]=>[8,4,6,1,7,5,2,3]
[1,7,8,4,2,6,5,3]=>[4,8,7,5,2,6,1,3]
[4,7,1,8,2,5,6,3]=>[1,6,8,5,7,3,2,4]
[3,7,4,8,5,2,1,6]=>[7,3,6,1,5,2,8,4]
[2,4,3,8,5,6,1,7]=>[2,5,7,1,3,6,8,4]
[1,4,8,3,6,2,5,7]=>[2,4,6,7,5,8,1,3]
[7,5,8,6,3,2,1,4]=>[2,7,6,5,1,8,4,3]
[6,5,8,7,3,2,1,4]=>[2,1,7,6,5,8,4,3]
[8,5,7,6,3,2,1,4]=>[2,7,6,5,8,4,3,1]
[2,5,3,8,7,6,1,4]=>[2,7,8,6,1,3,5,4]
[3,7,5,8,6,2,1,4]=>[3,7,6,1,2,8,5,4]
[3,7,8,6,5,2,1,4]=>[7,6,2,8,1,5,4,3]
[1,8,7,3,6,2,5,4]=>[8,4,6,7,5,3,1,2]
[6,8,7,5,3,2,1,4]=>[1,7,6,5,8,4,3,2]
[5,7,6,8,3,4,1,2]=>[7,1,5,3,2,8,6,4]
[3,7,6,8,4,5,1,2]=>[7,5,3,1,2,8,6,4]
[1,5,4,7,6,8,2,3]=>[2,7,3,5,4,8,1,6]
[1,7,4,6,5,8,2,3]=>[7,3,5,4,2,8,1,6]
[3,7,4,6,5,8,1,2]=>[7,3,5,1,4,2,8,6]
[3,5,4,8,6,7,1,2]=>[2,7,1,3,5,8,6,4]
[3,8,4,6,5,7,1,2]=>[7,3,5,1,4,8,6,2]
[3,6,4,7,5,8,1,2]=>[7,3,1,2,5,4,8,6]
[1,6,2,7,5,8,3,4]=>[7,5,4,2,8,1,3,6]
[1,6,4,8,5,7,2,3]=>[7,3,2,5,8,6,1,4]
[1,8,4,6,5,7,2,3]=>[7,3,5,4,8,6,1,2]
[1,5,4,8,6,7,2,3]=>[2,7,3,5,8,6,1,4]
[7,8,1,5,4,6,2,3]=>[7,5,4,8,3,1,6,2]
[7,8,1,5,2,4,3,6]=>[7,5,6,3,4,1,8,2]
[1,8,2,6,5,7,3,4]=>[7,5,4,8,3,6,1,2]
[1,7,2,8,5,6,3,4]=>[7,5,8,6,3,1,2,4]
[1,7,2,6,5,8,3,4]=>[7,5,4,8,3,1,2,6]
[1,5,2,7,6,8,3,4]=>[2,7,5,4,8,1,3,6]
[1,7,6,8,2,5,3,4]=>[7,8,5,3,2,6,1,4]
[1,7,6,8,4,5,2,3]=>[7,5,3,2,8,6,1,4]
[5,7,6,8,1,4,2,3]=>[1,7,8,5,3,2,6,4]
[7,8,5,6,1,3,2,4]=>[7,5,6,3,1,8,4,2]
[5,8,6,7,1,3,2,4]=>[1,7,5,6,3,8,4,2]
[1,3,2,7,6,8,4,5]=>[7,5,2,4,8,1,3,6]
[1,7,6,8,2,4,3,5]=>[7,5,6,3,2,8,1,4]
[7,8,1,3,2,6,4,5]=>[4,7,8,3,5,1,6,2]
[7,8,1,6,2,4,3,5]=>[7,5,6,8,3,1,4,2]
[1,8,6,7,2,4,3,5]=>[7,5,6,3,8,4,1,2]
[7,8,1,4,2,6,3,5]=>[7,4,8,3,5,1,6,2]
[7,8,1,4,2,5,3,6]=>[7,5,3,4,6,1,8,2]
[7,8,2,1,4,3,6,5]=>[3,5,8,4,6,1,7,2]
[7,8,1,2,4,3,5,6]=>[6,3,4,5,7,1,8,2]
[4,3,6,5,8,7,1,2]=>[1,4,2,3,7,8,6,5]
[3,4,6,5,7,8,1,2]=>[4,1,2,3,7,5,8,6]
[1,6,2,3,8,7,4,5]=>[7,8,6,3,1,2,4,5]
[1,7,4,3,2,8,6,5]=>[3,8,4,7,5,1,2,6]
[1,4,7,6,2,5,8,3]=>[6,8,2,5,4,1,3,7]
[1,2,6,5,3,7,4,8]=>[7,5,4,1,2,3,6,8]
[1,2,6,5,3,7,8,4]=>[6,4,3,8,1,2,5,7]
[1,3,7,5,2,6,8,4]=>[6,4,8,2,5,1,3,7]
[1,3,7,4,2,6,8,5]=>[4,6,8,2,5,1,3,7]
[1,2,6,4,3,7,8,5]=>[4,6,3,8,1,2,5,7]
[1,2,6,4,3,7,5,8]=>[4,7,5,1,2,3,6,8]
[1,4,7,3,2,5,8,6]=>[2,4,8,5,6,1,3,7]
[1,4,3,2,5,8,6,7]=>[3,2,7,8,1,4,5,6]
[1,5,3,2,4,8,6,7]=>[3,7,2,8,1,4,5,6]
[1,7,5,3,2,8,6,4]=>[8,4,3,7,5,1,2,6]
[1,5,3,2,4,8,7,6]=>[8,3,2,7,1,4,5,6]
[7,6,5,4,3,1,8,2]=>[8,6,5,4,3,2,1,7]
[6,8,5,4,3,2,1,7]=>[1,7,6,5,4,3,8,2]
[7,1,5,4,3,8,6,2]=>[4,3,8,5,7,2,1,6]
[3,6,5,4,8,1,7,2]=>[4,3,1,2,8,6,7,5]
[6,8,1,4,3,2,7,5]=>[5,4,8,3,1,6,7,2]
[2,8,5,4,3,7,1,6]=>[5,4,3,7,8,1,6,2]
[7,6,1,4,3,8,5,2]=>[4,8,5,7,3,2,1,6]
[4,6,5,8,3,1,7,2]=>[3,1,2,8,6,5,7,4]
[6,8,5,1,3,2,7,4]=>[5,8,4,1,6,3,7,2]
[1,8,2,4,3,7,6,5]=>[8,4,7,3,5,6,1,2]
[3,8,5,4,7,2,1,6]=>[4,3,7,1,6,8,5,2]
[7,6,5,1,3,8,4,2]=>[8,5,7,4,3,2,1,6]
[1,6,3,4,8,7,5,2]=>[8,7,3,2,4,6,1,5]
[1,4,5,8,3,7,6,2]=>[8,2,3,5,7,6,1,4]
[6,8,5,4,1,2,7,3]=>[8,5,1,6,4,3,7,2]
[1,8,5,2,3,7,6,4]=>[8,7,4,3,5,6,1,2]
[6,8,2,4,3,7,1,5]=>[5,3,4,1,7,8,6,2]
[1,8,3,4,7,2,6,5]=>[8,3,4,6,7,5,1,2]
[7,5,8,4,3,2,1,6]=>[2,7,6,5,4,1,8,3]
[4,8,5,7,3,2,1,6]=>[3,7,1,6,5,8,4,2]
[5,1,7,6,8,4,3,2]=>[1,4,3,8,7,6,2,5]
[6,4,8,5,2,7,1,3]=>[2,5,1,7,4,8,6,3]
[5,1,8,6,7,4,3,2]=>[1,4,8,7,6,5,2,3]
[8,4,7,5,2,6,1,3]=>[2,5,7,4,8,6,3,1]
[5,4,6,8,2,1,7,3]=>[2,1,5,3,8,6,7,4]
[6,4,5,8,1,2,7,3]=>[2,8,5,3,1,6,7,4]
[7,4,6,5,2,1,8,3]=>[2,5,8,6,4,3,1,7]
[8,4,6,5,2,1,7,3]=>[2,5,8,6,4,3,7,1]
[4,8,7,5,6,1,3,2]=>[8,6,1,4,7,5,3,2]
[2,7,5,1,8,4,3,6]=>[7,6,3,8,1,4,2,5]
[5,1,8,7,4,2,3,6]=>[6,1,7,5,8,4,2,3]
[2,8,6,7,4,3,5,1]=>[6,5,3,8,7,1,4,2]
[3,6,5,2,4,1,8,7]=>[4,5,1,3,2,8,6,7]
[5,2,3,6,4,1,8,7]=>[5,2,3,1,4,8,6,7]
[6,1,4,5,3,2,8,7]=>[3,5,4,8,2,1,6,7]
[3,8,7,1,4,6,5,2]=>[8,5,7,1,4,6,3,2]
[5,7,1,2,4,3,8,6]=>[5,8,3,1,4,6,2,7]
[4,3,7,6,8,2,5,1]=>[6,1,4,2,3,8,7,5]
[5,3,6,8,1,7,2,4]=>[7,2,1,3,8,5,6,4]
[3,2,6,8,5,7,1,4]=>[3,7,1,5,8,2,6,4]
[6,3,7,2,4,8,5,1]=>[8,2,4,1,5,3,7,6]
[7,4,8,6,5,2,1,3]=>[7,2,6,1,8,5,4,3]
[7,1,8,2,5,4,3,6]=>[7,6,4,5,8,2,1,3]
[2,5,3,7,4,1,8,6]=>[5,2,8,1,3,6,4,7]
[3,6,4,7,5,1,8,2]=>[8,3,1,2,6,5,4,7]
[8,4,7,6,2,3,1,5]=>[2,5,7,6,8,4,3,1]
[8,4,7,1,2,5,6,3]=>[6,2,8,4,5,7,3,1]
[4,2,8,7,3,5,6,1]=>[1,5,6,8,7,2,4,3]
[8,1,7,4,2,5,6,3]=>[6,4,8,5,7,2,3,1]
[7,4,3,8,2,5,6,1]=>[3,2,5,6,1,8,7,4]
[6,4,1,5,8,2,7,3]=>[4,2,8,6,1,7,3,5]
[2,5,8,7,3,6,1,4]=>[2,5,7,8,6,1,4,3]
[2,1,5,8,7,4,6,3]=>[6,8,3,7,1,5,2,4]
[8,3,5,6,7,4,1,2]=>[3,7,2,4,8,6,5,1]
[7,4,3,2,8,5,6,1]=>[3,2,6,8,4,1,7,5]
[4,2,7,1,8,5,6,3]=>[1,6,8,7,2,4,3,5]
[4,1,7,2,8,5,6,3]=>[1,6,8,7,4,2,3,5]
[2,4,8,7,3,5,6,1]=>[5,6,8,2,7,1,4,3]
[4,7,8,3,1,5,6,2]=>[6,1,4,8,5,2,7,3]
[3,4,7,2,8,5,6,1]=>[6,8,1,2,4,3,7,5]
[3,7,1,4,8,5,6,2]=>[6,8,1,4,7,3,2,5]
[7,2,3,4,8,5,6,1]=>[6,8,2,3,4,1,7,5]
[6,1,8,5,2,7,4,3]=>[8,7,5,4,1,6,2,3]
[2,1,7,4,5,8,6,3]=>[8,4,5,1,3,7,2,6]
[2,1,8,3,6,7,5,4]=>[5,8,7,1,4,6,2,3]
[8,2,1,6,4,7,5,3]=>[8,5,2,4,7,3,6,1]
[7,8,2,6,4,1,5,3]=>[8,6,3,5,1,7,4,2]
[2,6,3,5,8,7,1,4]=>[4,7,2,8,1,3,6,5]
[7,6,2,1,5,8,4,3]=>[5,8,3,7,4,2,1,6]
[4,5,2,7,6,1,8,3]=>[1,2,8,6,3,5,4,7]
[5,1,6,8,4,7,2,3]=>[3,1,7,5,8,6,2,4]
[3,6,8,7,5,2,1,4]=>[2,7,6,8,1,5,4,3]
[7,4,8,6,5,2,3,1]=>[6,8,2,1,7,5,4,3]
[8,1,6,4,7,3,2,5]=>[4,7,6,3,8,2,5,1]
[7,6,4,1,2,3,8,5]=>[8,4,5,3,6,2,1,7]
[2,6,4,8,5,3,7,1]=>[6,3,2,5,8,1,7,4]
[7,3,5,8,4,2,1,6]=>[3,7,2,6,5,1,8,4]
[3,2,5,8,4,1,7,6]=>[1,3,5,8,2,6,7,4]
[8,4,7,1,5,2,3,6]=>[6,2,7,4,5,8,3,1]
[4,8,7,5,6,1,2,3]=>[6,7,1,4,8,5,3,2]
[6,1,4,8,7,3,5,2]=>[6,8,3,1,7,5,2,4]
[7,2,8,4,3,5,6,1]=>[5,4,6,8,2,1,7,3]
[4,7,8,1,3,5,6,2]=>[1,5,6,8,4,2,7,3]
[8,7,3,4,1,5,6,2]=>[3,6,4,8,5,7,2,1]
[4,8,2,7,3,5,6,1]=>[1,5,6,8,3,7,4,2]
[3,1,8,7,2,5,6,4]=>[6,8,1,5,7,4,2,3]
[3,8,1,7,2,5,6,4]=>[6,8,1,5,7,3,4,2]
[8,2,3,7,1,5,6,4]=>[6,8,2,3,5,7,4,1]
[6,4,8,7,1,3,2,5]=>[2,7,5,1,6,8,4,3]
[2,8,4,6,7,3,1,5]=>[7,3,6,4,8,1,5,2]
[4,3,8,2,7,6,1,5]=>[1,7,8,2,4,6,5,3]
[6,8,4,2,1,3,7,5]=>[4,8,5,3,1,6,7,2]
[7,8,2,4,3,5,6,1]=>[5,3,4,6,1,8,7,2]
[2,8,3,7,1,5,6,4]=>[6,8,3,5,7,1,4,2]
[8,1,2,7,3,5,6,4]=>[6,8,5,7,2,3,4,1]
[6,4,1,3,2,8,5,7]=>[4,7,2,8,3,1,5,6]
[5,3,8,6,2,1,4,7]=>[6,2,1,5,7,4,8,3]
[4,6,5,2,8,3,1,7]=>[7,1,4,3,2,6,8,5]
[4,3,7,5,1,8,2,6]=>[1,7,2,4,8,5,3,6]
[6,8,5,2,7,4,3,1]=>[1,8,7,4,3,6,5,2]
[7,2,5,4,3,8,1,6]=>[5,4,2,3,7,1,8,6]
[3,6,8,1,4,5,2,7]=>[5,7,1,4,2,6,8,3]
[6,8,1,2,4,5,3,7]=>[5,7,3,4,1,6,8,2]
[8,1,6,2,4,5,3,7]=>[5,7,4,6,2,3,8,1]
[3,8,6,1,2,5,4,7]=>[7,1,4,5,6,3,8,2]
[5,8,1,6,2,3,4,7]=>[5,6,1,7,3,4,8,2]
[4,1,6,5,8,2,3,7]=>[1,6,4,3,7,8,2,5]
[4,3,8,6,2,5,1,7]=>[1,5,7,2,6,4,8,3]
[8,3,6,1,4,5,2,7]=>[2,5,7,4,6,3,8,1]
[2,3,6,8,4,5,1,7]=>[5,3,7,1,2,6,8,4]
[2,7,5,4,3,8,1,6]=>[5,4,3,7,1,2,8,6]
[6,3,8,7,4,2,5,1]=>[6,5,1,8,2,7,4,3]
[5,8,4,3,7,6,1,2]=>[1,4,3,7,8,6,5,2]
[8,7,4,3,1,6,2,5]=>[7,4,3,8,5,6,2,1]
[1,7,4,3,8,6,2,5]=>[3,7,8,4,2,6,1,5]
[7,1,5,3,4,8,2,6]=>[4,5,3,7,8,2,1,6]
[2,8,6,1,7,4,5,3]=>[6,8,7,4,1,3,5,2]
[4,8,6,5,7,2,1,3]=>[7,6,1,4,3,8,5,2]
[4,7,6,8,2,1,5,3]=>[5,8,1,6,3,2,7,4]
[6,1,8,7,4,3,5,2]=>[6,5,1,8,7,4,2,3]
[8,5,4,3,1,6,7,2]=>[6,4,3,2,8,5,7,1]
[1,5,8,6,3,4,7,2]=>[2,5,6,4,8,7,1,3]
[2,5,8,6,3,4,7,1]=>[2,5,6,4,8,1,7,3]
[4,1,3,8,5,6,7,2]=>[5,1,6,8,3,7,2,4]
[6,5,8,4,3,1,7,2]=>[2,1,8,6,5,4,7,3]
[4,6,5,2,8,1,7,3]=>[8,1,4,3,2,6,7,5]
[7,2,8,1,3,6,4,5]=>[7,8,2,4,5,1,6,3]
[1,8,5,2,3,6,7,4]=>[6,8,4,3,5,7,1,2]
[1,8,3,2,5,6,7,4]=>[3,5,6,8,4,7,1,2]
[2,8,3,1,5,6,7,4]=>[3,5,6,8,1,4,7,2]
[4,8,3,2,5,6,7,1]=>[1,4,3,5,6,8,7,2]
[8,2,3,1,5,6,7,4]=>[2,3,5,6,8,4,7,1]
[2,1,8,3,5,6,7,4]=>[5,6,8,1,4,7,2,3]
[1,4,8,2,3,6,7,5]=>[2,6,8,4,5,7,1,3]
[3,1,2,7,8,6,4,5]=>[7,1,4,8,6,2,3,5]
[7,5,1,8,2,4,3,6]=>[7,5,6,2,8,3,1,4]
[3,5,8,1,2,4,7,6]=>[8,1,4,2,5,6,7,3]
[4,5,8,1,2,3,7,6]=>[1,8,4,2,5,6,7,3]
[4,2,7,1,8,6,3,5]=>[1,7,8,6,2,4,3,5]
[3,8,4,1,2,6,7,5]=>[6,1,3,8,4,5,7,2]
[5,4,8,2,3,6,7,1]=>[4,2,1,5,6,8,7,3]
[5,8,3,6,7,4,1,2]=>[1,7,3,4,8,6,5,2]
[2,3,1,6,8,4,7,5]=>[4,8,1,2,6,7,3,5]
[2,4,3,7,1,8,5,6]=>[2,7,8,1,3,5,4,6]
[1,4,7,3,2,8,5,6]=>[2,4,7,8,5,1,3,6]
[2,7,1,4,3,8,5,6]=>[4,7,8,1,3,5,2,6]
[2,4,1,8,6,3,7,5]=>[8,2,6,1,5,7,3,4]
[8,4,1,3,6,2,7,5]=>[8,4,2,6,3,5,7,1]
[6,8,5,1,7,2,3,4]=>[6,7,1,8,4,3,5,2]
[7,3,6,5,8,2,1,4]=>[7,6,2,4,3,1,8,5]
[7,6,3,5,8,2,1,4]=>[7,3,6,4,2,1,8,5]
[4,5,8,7,3,6,1,2]=>[7,1,2,5,8,6,4,3]
[3,5,2,8,6,1,7,4]=>[2,8,1,6,3,5,7,4]
[8,2,5,6,1,4,7,3]=>[6,3,8,2,5,4,7,1]
[8,6,5,4,1,2,7,3]=>[8,5,6,4,3,2,7,1]
[2,6,1,8,3,7,5,4]=>[8,7,5,1,2,6,3,4]
[4,7,1,6,2,8,5,3]=>[8,1,7,5,3,4,2,6]
[6,1,5,3,8,7,2,4]=>[7,3,8,4,1,6,2,5]
[2,8,6,3,7,1,5,4]=>[8,4,6,3,7,1,5,2]
[7,6,1,5,8,2,3,4]=>[6,7,4,8,3,2,1,5]
[3,6,8,5,1,2,7,4]=>[8,5,1,2,6,4,7,3]
[6,5,2,4,8,1,7,3]=>[4,8,3,2,1,6,7,5]
[5,1,4,8,2,6,7,3]=>[3,6,1,8,5,7,2,4]
[4,8,2,5,1,6,7,3]=>[1,6,3,4,8,5,7,2]
[3,4,8,5,2,6,7,1]=>[5,1,2,4,6,8,7,3]
[4,2,1,8,5,6,7,3]=>[5,1,6,8,2,7,3,4]
[1,5,4,8,2,6,7,3]=>[3,2,6,8,5,7,1,4]
[7,2,1,5,8,6,3,4]=>[4,7,8,2,6,3,1,5]
[2,8,4,5,1,6,7,3]=>[3,6,4,8,1,5,7,2]
[5,4,8,3,7,6,1,2]=>[2,1,4,7,8,6,5,3]
[3,1,5,8,6,2,7,4]=>[8,1,3,6,5,7,2,4]
[6,3,4,8,5,1,7,2]=>[8,2,3,1,6,5,7,4]
[5,3,4,8,1,6,7,2]=>[2,3,1,6,8,5,7,4]
[7,6,1,2,8,3,5,4]=>[8,6,7,3,4,2,1,5]
[7,5,8,4,1,2,6,3]=>[8,5,2,6,4,1,7,3]
[7,5,8,4,6,1,3,2]=>[2,8,6,4,1,7,5,3]
[6,5,4,8,7,1,3,2]=>[3,2,1,8,6,7,5,4]
[6,5,4,8,1,2,7,3]=>[8,5,3,2,1,6,7,4]
[7,5,1,6,2,3,8,4]=>[8,5,6,3,2,4,1,7]
[7,5,1,6,8,2,4,3]=>[8,6,4,2,7,3,1,5]
[6,5,4,1,8,2,7,3]=>[8,6,3,2,1,7,4,5]
[6,5,4,7,1,2,8,3]=>[8,5,3,2,1,6,4,7]
[6,5,4,7,8,1,3,2]=>[3,2,1,8,6,4,7,5]
[6,5,3,7,1,4,2,8]=>[3,7,5,2,1,6,4,8]
[6,5,3,1,8,4,2,7]=>[3,7,6,2,1,8,4,5]
[7,5,1,4,8,3,2,6]=>[4,7,6,2,8,3,1,5]
[8,1,6,4,7,3,5,2]=>[4,6,3,8,7,2,5,1]
[7,5,1,4,8,3,6,2]=>[4,6,2,8,7,3,1,5]
[6,5,3,7,1,4,8,2]=>[3,6,2,1,8,5,4,7]
[6,4,3,1,5,8,7,2]=>[3,2,8,5,1,7,4,6]
[7,4,1,5,3,8,6,2]=>[4,2,8,5,7,3,1,6]
[8,1,5,4,3,7,6,2]=>[4,3,8,5,7,2,6,1]
[8,1,5,4,3,7,2,6]=>[5,4,3,7,8,2,6,1]
[7,4,1,5,3,8,2,6]=>[5,4,2,7,8,3,1,6]
[7,4,1,5,3,2,6,8]=>[6,5,3,2,4,7,1,8]
[8,1,5,4,3,2,6,7]=>[6,5,4,2,3,7,8,1]
[8,1,6,4,2,5,3,7]=>[7,5,4,6,2,3,8,1]
[6,5,3,1,2,7,4,8]=>[7,4,3,5,2,1,6,8]
[6,5,3,8,1,4,2,7]=>[3,7,5,2,1,6,8,4]
[7,6,8,1,4,3,2,5]=>[7,6,4,5,2,1,8,3]
[8,1,7,2,5,4,3,6]=>[7,6,4,5,8,2,3,1]
[8,1,7,2,5,4,6,3]=>[6,5,8,4,7,2,3,1]
[7,6,1,2,5,4,8,3]=>[6,5,8,3,4,2,1,7]
[6,5,3,8,1,4,7,2]=>[3,6,2,1,8,5,7,4]
[6,5,3,1,2,7,8,4]=>[6,3,8,4,2,1,5,7]
[7,5,1,4,2,6,8,3]=>[6,4,8,3,2,5,1,7]
[8,1,6,4,2,5,7,3]=>[6,4,8,5,2,3,7,1]
[7,4,1,5,3,2,8,6]=>[5,4,2,8,3,6,1,7]
[6,4,3,1,5,2,8,7]=>[5,3,2,8,4,1,6,7]
[6,4,3,1,5,7,2,8]=>[5,3,2,7,4,1,6,8]
[7,4,1,5,3,6,2,8]=>[5,4,2,7,3,6,1,8]
[8,1,5,4,3,6,2,7]=>[5,4,3,7,2,6,8,1]
[8,1,5,4,3,6,7,2]=>[5,4,3,6,8,2,7,1]
[7,4,1,5,3,6,8,2]=>[5,4,2,6,8,3,1,7]
[6,4,3,1,5,7,8,2]=>[5,3,2,6,1,8,4,7]
[6,7,3,8,4,5,1,2]=>[7,3,1,5,2,8,6,4]
[6,7,4,5,1,8,2,3]=>[7,3,1,8,5,4,2,6]
[4,7,5,6,2,3,1,8]=>[5,1,3,7,6,4,2,8]
[4,7,5,6,1,8,2,3]=>[7,1,3,8,5,4,2,6]
[4,7,5,6,3,8,1,2]=>[3,7,1,5,4,2,8,6]
[3,7,5,8,4,6,1,2]=>[3,7,5,1,2,8,6,4]
[4,5,3,8,6,7,1,2]=>[1,2,7,3,5,8,6,4]
[4,8,3,6,5,7,1,2]=>[7,1,3,5,4,8,6,2]
[5,6,4,7,1,8,2,3]=>[1,7,3,2,8,5,4,6]
[5,6,1,7,3,8,2,4]=>[5,1,7,4,2,8,3,6]
[5,6,1,8,2,7,3,4]=>[7,1,8,5,2,6,3,4]
[5,6,1,8,4,7,2,3]=>[1,7,5,2,8,6,3,4]
[4,8,1,6,5,7,2,3]=>[7,1,5,4,8,3,6,2]
[4,5,1,8,6,7,2,3]=>[1,2,7,5,8,6,3,4]
[7,8,4,5,1,6,2,3]=>[7,3,8,5,4,1,6,2]
[4,8,2,3,1,6,5,7]=>[3,1,4,7,5,6,8,2]
[5,6,2,8,1,4,3,7]=>[7,3,1,5,2,6,8,4]
[5,6,3,4,1,8,2,7]=>[3,1,7,4,2,8,5,6]
[3,6,4,5,2,7,1,8]=>[3,5,1,4,2,7,6,8]
[3,6,4,5,1,8,2,7]=>[3,7,1,4,2,8,5,6]
[2,6,4,8,1,5,3,7]=>[3,7,5,1,2,6,8,4]
[2,8,3,6,1,5,4,7]=>[7,3,5,6,1,4,8,2]
[2,8,3,4,1,6,5,7]=>[3,4,7,1,5,6,8,2]
[7,8,2,5,3,4,1,6]=>[5,7,3,6,4,1,8,2]
[7,8,1,5,3,6,2,4]=>[5,7,4,8,3,1,6,2]
[1,5,3,8,6,7,2,4]=>[2,7,5,8,3,6,1,4]
[1,8,3,6,2,7,4,5]=>[7,8,3,5,4,6,1,2]
[1,6,4,8,2,7,3,5]=>[3,7,2,8,5,6,1,4]
[2,6,4,7,3,5,1,8]=>[3,5,2,7,1,6,4,8]
[2,7,3,6,4,5,1,8]=>[5,7,3,6,1,4,2,8]
[1,7,3,6,4,8,2,5]=>[5,7,3,4,2,8,1,6]
[1,7,2,8,4,6,3,5]=>[5,7,8,6,3,1,2,4]
[1,7,5,8,4,6,2,3]=>[3,7,5,2,8,6,1,4]
[1,7,5,8,2,6,3,4]=>[7,3,8,5,2,6,1,4]
[1,7,5,6,3,8,2,4]=>[5,3,7,4,2,8,1,6]
[2,7,5,6,3,4,1,8]=>[5,3,7,6,1,4,2,8]
[6,7,2,5,3,4,1,8]=>[5,7,3,1,6,4,2,8]
[6,7,1,5,3,8,2,4]=>[5,7,4,1,8,3,2,6]
[6,7,5,8,1,4,2,3]=>[7,1,8,5,3,2,6,4]
[5,8,6,7,2,3,1,4]=>[1,5,7,6,3,8,4,2]
[6,7,2,3,1,8,4,5]=>[3,4,7,1,8,5,2,6]
[6,7,2,8,1,4,3,5]=>[7,3,5,1,6,2,8,4]
[3,4,2,7,5,6,1,8]=>[1,2,5,7,3,6,4,8]
[3,4,1,7,5,8,2,6]=>[1,2,5,7,4,8,3,6]
[2,7,5,8,1,4,3,6]=>[7,5,3,6,1,2,8,4]
[2,3,1,7,5,8,4,6]=>[5,7,1,2,4,8,3,6]
[2,3,1,8,4,7,5,6]=>[7,8,1,2,5,6,3,4]
[7,8,2,3,1,6,4,5]=>[3,4,7,8,5,1,6,2]
[7,8,2,6,1,4,3,5]=>[7,3,5,6,1,8,4,2]
[2,8,6,7,1,4,3,5]=>[7,5,6,3,8,1,4,2]
[2,8,1,4,3,7,5,6]=>[4,7,8,1,3,5,6,2]
[3,7,2,5,4,6,1,8]=>[5,1,3,4,7,6,2,8]
[4,5,2,7,3,6,1,8]=>[1,5,2,7,3,6,4,8]
[4,5,1,8,2,7,3,6]=>[1,7,2,8,5,6,3,4]
[3,4,1,8,2,7,5,6]=>[1,2,7,8,5,6,3,4]
[3,4,1,8,6,7,2,5]=>[7,1,2,5,8,6,3,4]
[3,4,2,5,1,8,6,7]=>[1,3,2,4,7,8,5,6]
[3,4,2,8,1,6,5,7]=>[1,2,7,3,5,6,8,4]
[3,8,2,5,1,6,4,7]=>[7,1,3,5,4,6,8,2]
[4,5,2,8,1,6,3,7]=>[1,7,3,2,5,6,8,4]
[4,5,3,6,1,8,2,7]=>[1,3,2,7,4,8,5,6]
[7,1,5,8,4,6,2,3]=>[3,7,5,8,6,2,1,4]
[8,6,7,1,4,2,5,3]=>[8,6,4,5,2,7,3,1]
[8,6,3,7,5,1,2,4]=>[3,6,7,2,8,5,4,1]
[8,6,1,7,3,2,5,4]=>[5,8,6,7,3,2,4,1]
[7,6,1,8,3,5,2,4]=>[5,7,8,6,3,2,1,4]
[7,6,1,3,8,5,2,4]=>[7,8,4,6,3,2,1,5]
[7,6,8,2,4,5,1,3]=>[7,4,5,2,1,8,6,3]
[7,6,2,8,3,5,1,4]=>[5,7,8,3,2,1,6,4]
[7,6,2,3,8,5,1,4]=>[7,8,3,4,2,1,6,5]
[8,7,1,5,2,6,3,4]=>[7,8,5,3,4,6,2,1]
[8,7,1,5,2,3,6,4]=>[8,5,6,3,4,7,2,1]
[8,5,2,3,1,7,6,4]=>[8,3,4,2,7,5,6,1]
[8,6,2,3,7,1,5,4]=>[8,3,4,6,2,7,5,1]
[8,6,2,7,3,1,5,4]=>[5,8,3,6,2,7,4,1]
[8,6,7,2,4,1,5,3]=>[8,4,6,5,2,7,3,1]
[6,8,7,3,4,1,5,2]=>[4,1,8,6,5,7,3,2]
[8,7,2,5,1,6,3,4]=>[7,8,3,5,4,6,2,1]
[8,7,2,1,4,6,3,5]=>[3,5,7,8,4,6,2,1]
[8,4,2,1,7,6,3,5]=>[7,2,8,3,6,4,5,1]
[8,5,2,7,1,6,3,4]=>[7,8,3,2,5,6,4,1]
[8,5,7,2,1,4,3,6]=>[4,7,5,2,6,8,3,1]
[5,8,7,3,1,4,2,6]=>[1,7,5,4,6,8,3,2]
[5,8,7,3,1,4,6,2]=>[1,6,4,8,5,7,3,2]
[8,5,7,2,1,4,6,3]=>[4,6,2,8,5,7,3,1]
[8,5,2,7,1,3,6,4]=>[8,3,5,2,6,7,4,1]
[8,4,2,1,3,7,6,5]=>[8,3,2,7,4,5,6,1]
[8,7,4,1,2,3,6,5]=>[8,4,5,3,6,7,2,1]
[8,7,4,1,2,6,3,5]=>[7,8,4,3,5,6,2,1]
[8,4,3,1,7,2,6,5]=>[3,2,8,6,7,4,5,1]
[8,4,3,1,2,7,6,5]=>[3,2,8,7,4,5,6,1]
[8,6,1,3,7,2,5,4]=>[8,4,6,7,3,2,5,1]
[8,5,1,3,2,7,6,4]=>[8,4,7,3,2,5,6,1]
[8,5,7,4,1,6,2,3]=>[7,2,8,5,4,6,3,1]
[8,5,7,4,1,2,6,3]=>[8,5,2,6,4,7,3,1]
[8,1,5,4,2,7,6,3]=>[4,3,8,7,2,5,6,1]
[8,1,6,4,7,2,5,3]=>[4,8,6,3,7,2,5,1]
[6,1,5,8,4,2,7,3]=>[3,8,6,5,1,7,2,4]
[5,8,3,6,4,1,2,7]=>[3,1,6,7,5,4,8,2]
[5,2,8,6,4,1,3,7]=>[6,1,7,5,2,4,8,3]
[8,4,7,5,1,6,2,3]=>[2,7,8,5,4,6,3,1]
[8,4,7,5,1,2,6,3]=>[2,8,5,6,4,7,3,1]
[8,4,7,5,1,2,3,6]=>[5,2,6,7,4,8,3,1]
[8,7,3,5,1,2,6,4]=>[3,8,5,6,4,7,2,1]
[8,3,2,6,5,1,4,7]=>[2,6,7,3,5,4,8,1]
[4,8,6,3,5,1,2,7]=>[6,1,4,7,5,3,8,2]
[4,8,7,3,1,5,2,6]=>[7,1,5,4,6,8,3,2]
[8,4,7,2,1,5,3,6]=>[4,2,7,5,6,8,3,1]
[8,3,2,7,1,5,4,6]=>[2,7,3,5,6,8,4,1]
[8,3,2,1,7,6,4,5]=>[2,7,8,3,6,4,5,1]
[8,7,3,1,4,2,6,5]=>[5,3,8,4,6,7,2,1]
[8,7,3,1,6,2,4,5]=>[6,3,7,8,4,5,2,1]
[8,7,3,1,2,6,4,5]=>[7,3,8,4,5,6,2,1]
[8,7,3,1,2,4,6,5]=>[8,4,3,5,6,7,2,1]
[8,3,2,1,4,7,6,5]=>[2,8,3,7,4,5,6,1]
[8,3,2,1,7,4,6,5]=>[2,8,3,6,7,4,5,1]
[8,3,2,7,1,5,6,4]=>[2,6,8,3,5,7,4,1]
[8,4,7,2,1,5,6,3]=>[4,2,6,8,5,7,3,1]
[3,8,7,4,1,2,5,6]=>[5,6,1,4,7,8,3,2]
[8,7,2,1,6,3,4,5]=>[3,6,7,8,4,5,2,1]
[8,7,2,1,3,6,4,5]=>[3,7,8,4,5,6,2,1]
[8,7,2,1,3,4,6,5]=>[3,8,4,5,6,7,2,1]
[3,6,5,4,1,2,8,7]=>[8,5,1,4,3,2,6,7]
[3,8,5,6,7,4,1,2]=>[3,7,4,8,1,6,5,2]
[4,7,5,8,6,2,1,3]=>[3,7,1,6,2,8,5,4]
[2,5,7,8,6,3,4,1]=>[6,2,3,8,7,1,5,4]
[4,8,5,7,6,3,1,2]=>[3,7,8,1,6,5,4,2]
[4,6,3,2,1,5,8,7]=>[1,4,3,8,5,2,6,7]
[6,2,1,5,3,4,8,7]=>[8,2,5,3,4,1,6,7]
[5,8,1,3,7,6,4,2]=>[1,8,7,4,6,3,5,2]
[4,7,2,3,6,1,8,5]=>[1,8,3,4,6,5,2,7]
[3,7,4,2,8,1,5,6]=>[4,1,3,6,7,2,8,5]
[4,2,6,8,5,7,3,1]=>[1,3,5,8,7,2,6,4]
[6,4,2,7,3,8,5,1]=>[2,8,5,3,1,4,7,6]
[8,1,6,7,5,3,4,2]=>[6,3,8,7,5,2,4,1]
[2,1,5,8,7,6,3,4]=>[7,8,3,6,1,5,2,4]
[2,1,4,7,6,3,8,5]=>[8,6,1,3,5,2,4,7]
[6,4,7,8,5,3,2,1]=>[3,1,8,2,7,6,5,4]
[4,1,3,7,6,2,8,5]=>[1,8,6,3,5,2,4,7]
[8,5,1,6,3,2,7,4]=>[5,8,6,3,2,4,7,1]
[6,3,7,1,5,2,8,4]=>[8,2,6,4,1,5,3,7]
[3,2,6,8,4,7,5,1]=>[3,8,1,5,7,2,6,4]
[8,4,6,1,3,2,5,7]=>[6,4,2,5,7,3,8,1]
[4,2,8,6,7,3,1,5]=>[7,1,6,4,8,2,5,3]
[7,4,3,8,2,1,5,6]=>[3,2,6,5,7,1,8,4]
[4,7,5,8,1,6,3,2]=>[3,8,1,7,5,2,6,4]
[6,4,3,2,7,8,1,5]=>[3,2,7,4,1,5,8,6]
[4,2,5,1,6,7,8,3]=>[5,2,1,3,6,8,4,7]
[2,4,8,5,7,1,3,6]=>[6,2,4,7,8,1,5,3]
[3,7,1,4,6,8,5,2]=>[5,8,1,4,7,3,2,6]
[7,8,2,5,6,1,4,3]=>[8,6,3,4,1,7,5,2]
[2,4,3,8,7,5,6,1]=>[6,8,2,7,1,3,5,4]
[2,6,7,3,5,1,8,4]=>[8,4,2,6,1,5,3,7]
[7,6,8,4,2,5,3,1]=>[8,5,4,2,1,7,6,3]
[8,5,7,1,6,3,2,4]=>[7,6,2,8,4,5,3,1]
[6,5,7,2,8,4,3,1]=>[2,1,8,7,4,3,6,5]
[3,4,8,6,5,2,1,7]=>[7,6,1,2,5,4,8,3]
[2,7,6,1,4,5,8,3]=>[5,6,8,4,1,3,2,7]
[6,5,8,2,1,7,3,4]=>[4,7,2,1,8,5,6,3]
[7,4,3,5,1,6,8,2]=>[3,2,6,4,8,5,1,7]
[4,1,6,3,5,8,7,2]=>[1,8,4,3,5,7,2,6]
[6,2,5,8,4,3,7,1]=>[3,6,5,1,8,2,7,4]
[8,6,7,1,5,4,3,2]=>[8,7,6,4,2,5,3,1]
[2,1,6,5,8,4,7,3]=>[4,3,6,8,1,7,2,5]
[2,1,6,8,5,4,3,7]=>[3,7,6,1,5,8,2,4]
[4,1,8,5,6,2,3,7]=>[1,6,4,7,5,8,2,3]
[2,6,4,8,7,3,5,1]=>[6,2,8,3,7,1,5,4]
[6,2,8,4,3,5,1,7]=>[5,4,7,2,1,6,8,3]
[4,8,2,7,6,1,3,5]=>[1,6,7,8,3,5,4,2]
[3,1,8,2,7,5,4,6]=>[7,1,6,8,4,5,2,3]
[3,8,1,2,6,7,4,5]=>[7,1,5,8,3,4,6,2]
[5,8,4,3,2,7,1,6]=>[1,5,4,3,7,8,6,2]
[7,4,8,6,3,2,5,1]=>[6,2,5,1,8,7,4,3]
[5,8,4,7,2,1,3,6]=>[1,6,5,3,7,8,4,2]
[2,1,8,4,3,7,5,6]=>[4,7,8,1,5,6,2,3]
[6,3,8,2,4,5,7,1]=>[2,4,5,1,6,8,7,3]
[5,8,4,2,3,6,1,7]=>[4,1,5,3,7,6,8,2]
[5,8,2,4,3,1,6,7]=>[6,3,1,5,4,7,8,2]
[2,8,3,1,6,4,5,7]=>[3,6,7,1,4,5,8,2]
[8,2,1,3,4,7,5,6]=>[2,7,8,3,4,5,6,1]
[1,4,8,2,6,3,5,7]=>[2,6,7,4,5,8,1,3]
[1,2,7,3,5,4,8,6]=>[5,8,4,6,1,2,3,7]
[1,2,3,8,4,5,7,6]=>[8,5,6,7,1,2,3,4]
[1,2,8,3,4,5,7,6]=>[8,4,5,6,7,1,2,3]
[1,3,8,2,6,4,5,7]=>[6,7,2,4,5,8,1,3]
[1,5,7,2,3,6,4,8]=>[7,4,2,5,6,1,3,8]
[1,7,2,3,5,4,8,6]=>[5,8,3,4,6,1,2,7]
[1,3,8,2,4,5,7,6]=>[8,2,4,5,6,7,1,3]
[1,2,3,8,4,6,7,5]=>[6,8,5,7,1,2,3,4]
[1,8,2,3,5,4,6,7]=>[6,3,4,5,7,8,1,2]
[1,7,8,2,3,6,4,5]=>[7,8,4,5,2,6,1,3]
[1,6,7,8,2,3,5,4]=>[8,5,2,6,3,7,1,4]
[1,7,8,2,5,3,6,4]=>[8,6,4,5,2,7,1,3]
[1,7,8,2,4,5,3,6]=>[5,7,4,6,2,8,1,3]
[1,2,8,3,6,4,5,7]=>[6,7,4,5,8,1,2,3]
[1,8,2,3,6,4,5,7]=>[6,7,3,4,5,8,1,2]
[1,2,8,3,5,4,6,7]=>[6,4,5,7,8,1,2,3]
[1,2,7,8,3,6,4,5]=>[7,8,5,3,6,1,2,4]
[1,5,2,7,8,3,6,4]=>[2,8,6,4,7,1,3,5]
[1,3,2,8,4,6,7,5]=>[6,8,2,5,7,1,3,4]
[1,8,2,3,4,6,7,5]=>[6,8,3,4,5,7,1,2]
[1,7,8,2,4,3,6,5]=>[5,8,4,6,2,7,1,3]
[7,6,3,1,5,2,4,8]=>[6,3,7,4,5,2,1,8]
[6,7,3,1,5,2,8,4]=>[3,8,6,4,1,5,2,7]
[6,8,3,1,5,2,7,4]=>[3,8,6,4,1,5,7,2]
[6,8,4,5,1,2,7,3]=>[8,5,3,1,6,4,7,2]
[6,7,4,5,1,2,8,3]=>[8,5,3,1,6,4,2,7]
[7,2,1,6,5,3,4,8]=>[6,7,2,5,3,4,1,8]
[7,3,6,1,5,2,4,8]=>[2,6,7,4,5,3,1,8]
[7,4,6,5,1,2,3,8]=>[5,2,6,7,4,3,1,8]
[6,7,5,4,1,2,8,3]=>[8,5,1,6,4,3,2,7]
[5,8,6,4,1,7,2,3]=>[1,7,8,5,4,3,6,2]
[5,7,6,4,1,8,2,3]=>[1,7,8,5,4,3,2,6]
[5,6,7,4,1,8,2,3]=>[1,7,2,8,5,4,3,6]
[6,5,7,4,1,2,8,3]=>[8,5,2,1,6,4,3,7]
[6,4,7,5,1,2,8,3]=>[2,8,5,1,6,4,3,7]
[6,2,1,7,5,3,8,4]=>[8,6,2,5,3,1,4,7]
[6,3,8,1,5,2,7,4]=>[8,2,6,4,1,5,7,3]
[6,4,8,5,1,2,7,3]=>[2,8,5,1,6,4,7,3]
[6,5,8,4,1,2,7,3]=>[8,5,2,1,6,4,7,3]
[5,6,8,4,1,7,2,3]=>[1,7,2,8,5,4,6,3]
[4,6,8,5,7,1,2,3]=>[6,1,2,7,4,8,5,3]
[4,5,8,6,7,1,2,3]=>[1,2,6,7,4,8,5,3]
[5,4,8,6,1,7,2,3]=>[2,1,7,8,5,4,6,3]
[5,3,8,1,6,7,2,4]=>[7,2,1,5,8,4,6,3]
[5,2,1,8,6,7,3,4]=>[7,5,1,8,2,6,3,4]
[5,2,1,7,6,8,3,4]=>[7,5,2,1,4,8,3,6]
[5,4,7,6,1,8,2,3]=>[2,1,7,8,5,4,3,6]
[4,5,7,6,8,1,2,3]=>[1,2,6,7,4,3,8,5]
[4,6,7,5,8,1,2,3]=>[6,1,2,7,4,3,8,5]
[4,8,6,5,7,1,2,3]=>[6,7,1,4,3,8,5,2]
[4,8,5,6,7,1,2,3]=>[6,1,3,7,4,8,5,2]
[4,7,5,6,8,1,2,3]=>[6,1,3,7,4,2,8,5]
[4,6,5,7,8,1,2,3]=>[6,1,3,2,7,4,8,5]
[5,7,4,6,1,8,2,3]=>[1,7,3,8,5,4,2,6]
[5,8,4,6,1,7,2,3]=>[1,7,3,8,5,4,6,2]
[5,8,3,1,6,7,2,4]=>[3,1,7,5,8,4,6,2]
[5,7,3,1,6,8,2,4]=>[3,1,7,5,8,4,2,6]
[5,6,3,1,7,8,2,4]=>[3,1,7,5,2,8,4,6]
[6,2,1,4,3,8,7,5]=>[8,2,4,7,3,1,5,6]
[5,8,3,1,7,6,2,4]=>[3,1,7,8,6,4,5,2]
[5,7,4,8,1,6,2,3]=>[1,7,3,8,5,2,6,4]
[5,2,1,6,8,7,3,4]=>[4,7,1,8,2,6,3,5]
[5,4,6,8,1,7,2,3]=>[2,1,7,3,8,5,6,4]
[4,5,6,8,7,1,2,3]=>[1,2,6,3,7,8,5,4]
[4,7,5,8,6,1,2,3]=>[6,1,3,7,2,8,5,4]
[4,8,5,7,6,1,2,3]=>[6,1,3,7,8,5,4,2]
[4,8,6,7,5,1,2,3]=>[6,7,1,3,8,5,4,2]
[4,7,6,8,5,1,2,3]=>[6,7,1,3,2,8,5,4]
[4,6,7,8,5,1,2,3]=>[6,1,2,7,3,8,5,4]
[4,5,7,8,6,1,2,3]=>[1,2,6,7,3,8,5,4]
[5,4,7,8,1,6,2,3]=>[2,1,7,8,5,3,6,4]
[5,3,7,1,8,6,2,4]=>[7,1,8,2,6,4,3,5]
[5,2,1,7,8,6,3,4]=>[7,4,1,8,2,6,3,5]
[5,3,8,1,7,6,2,4]=>[7,1,8,2,6,4,5,3]
[5,4,8,7,1,6,2,3]=>[2,1,7,8,5,6,4,3]
[4,6,8,7,5,1,2,3]=>[6,1,2,7,8,5,4,3]
[4,7,8,6,5,1,2,3]=>[6,7,1,2,8,5,4,3]
[4,8,7,6,5,1,2,3]=>[6,7,8,1,5,4,3,2]
[2,5,4,7,3,6,1,8]=>[3,2,5,7,1,6,4,8]
[2,4,6,3,7,5,1,8]=>[7,2,4,1,3,6,5,8]
[4,2,7,3,6,5,1,8]=>[1,7,4,6,2,5,3,8]
[4,2,6,3,1,5,8,7]=>[4,1,8,2,5,3,6,7]
[2,5,3,1,6,4,8,7]=>[3,5,1,2,8,4,6,7]
[2,5,3,7,6,4,1,8]=>[2,7,6,1,3,5,4,8]
[2,6,5,3,7,4,1,8]=>[7,4,3,1,2,6,5,8]
[4,2,7,6,3,5,1,8]=>[1,5,7,6,2,4,3,8]
[2,7,5,3,6,4,1,8]=>[7,4,3,6,1,5,2,8]
[2,6,3,7,5,4,1,8]=>[7,6,3,1,2,5,4,8]
[1,7,5,2,3,8,4,6]=>[7,8,4,3,5,1,2,6]
[2,1,3,7,5,4,8,6]=>[5,8,1,6,2,3,4,7]
[2,3,1,8,6,5,4,7]=>[7,6,1,2,5,8,3,4]
[2,5,3,1,8,6,4,7]=>[7,3,1,2,6,8,4,5]
[4,2,8,3,1,6,5,7]=>[4,1,7,2,5,6,8,3]
[8,3,2,6,4,1,5,7]=>[2,6,3,5,7,4,8,1]
[3,6,8,2,1,4,5,7]=>[5,1,4,6,2,7,8,3]
[1,5,2,8,3,4,7,6]=>[8,5,2,6,7,1,3,4]
[1,2,6,3,8,7,4,5]=>[7,3,8,6,1,2,4,5]
[1,2,8,3,6,4,7,5]=>[8,6,4,5,7,1,2,3]
[1,2,7,6,3,4,8,5]=>[8,5,6,4,1,2,3,7]
[2,1,3,8,7,5,4,6]=>[7,6,8,1,5,2,3,4]
[1,2,3,8,6,4,7,5]=>[8,6,5,7,1,2,3,4]
[1,2,3,7,4,8,6,5]=>[8,7,5,1,2,3,4,6]
[1,2,7,6,3,8,4,5]=>[7,8,5,4,1,2,3,6]
[1,2,3,6,4,8,7,5]=>[4,8,7,1,2,3,5,6]
[1,2,3,7,6,4,8,5]=>[8,6,5,1,2,3,4,7]
[2,6,3,1,8,5,4,7]=>[7,3,6,1,2,8,4,5]
[2,1,3,8,5,4,7,6]=>[5,8,1,6,7,2,3,4]
[7,1,8,4,2,3,5,6]=>[5,6,4,7,8,2,1,3]
[2,1,8,4,3,5,7,6]=>[4,8,1,5,6,7,2,3]
[4,2,6,3,1,8,5,7]=>[4,1,7,2,3,8,5,6]
[5,4,2,8,3,1,6,7]=>[6,3,2,1,5,7,8,4]
[3,5,8,2,4,1,6,7]=>[4,1,2,6,5,7,8,3]
[2,5,4,8,3,1,6,7]=>[3,2,6,1,5,7,8,4]
[4,2,1,8,3,5,7,6]=>[8,2,1,5,6,7,3,4]
[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,1,2]
[1,5,2,8,7,3,4,6]=>[6,2,7,8,5,1,3,4]
[1,2,7,3,6,4,8,5]=>[8,6,4,5,1,2,3,7]
[1,2,8,6,3,7,4,5]=>[7,8,5,4,6,1,2,3]
[1,2,7,3,8,6,4,5]=>[7,8,6,4,1,2,3,5]
[1,2,3,8,4,7,6,5]=>[8,7,5,6,1,2,3,4]
[1,2,7,3,4,8,6,5]=>[8,7,4,5,1,2,3,6]
[1,2,6,3,8,4,7,5]=>[8,6,3,7,1,2,4,5]
[1,5,2,3,8,7,4,6]=>[7,2,8,6,1,3,4,5]
[4,2,1,8,3,7,5,6]=>[7,1,8,2,5,6,3,4]
[8,3,2,1,7,4,5,6]=>[3,2,6,7,8,4,5,1]
[1,8,4,2,7,3,5,6]=>[6,3,7,8,4,5,1,2]
[1,2,8,6,3,4,7,5]=>[8,5,6,4,7,1,2,3]
[1,2,7,3,8,4,6,5]=>[8,6,7,4,1,2,3,5]
[1,2,3,8,7,4,6,5]=>[8,6,7,5,1,2,3,4]
[1,2,3,8,7,6,4,5]=>[7,8,6,5,1,2,3,4]
[2,5,3,8,1,6,4,7]=>[7,3,1,2,5,6,8,4]
[2,6,4,7,1,5,3,8]=>[3,7,5,1,2,6,4,8]
[2,6,5,7,1,4,3,8]=>[7,5,3,1,2,6,4,8]
[3,8,5,7,1,2,6,4]=>[8,5,1,3,6,7,4,2]
[3,8,5,7,2,6,4,1]=>[3,8,5,7,1,6,4,2]
[3,4,8,6,2,5,7,1]=>[5,6,1,2,4,8,7,3]
[3,4,8,6,1,2,5,7]=>[1,2,5,6,7,4,8,3]
[2,5,7,1,4,8,6,3]=>[2,8,5,7,1,4,3,6]
[2,4,8,1,5,7,6,3]=>[8,2,5,7,1,4,6,3]
[2,4,3,8,1,6,5,7]=>[2,7,1,3,5,6,8,4]
[2,8,1,7,5,6,4,3]=>[5,8,7,6,1,3,4,2]
[2,3,8,1,6,5,7,4]=>[6,5,8,1,2,4,7,3]
[2,4,8,1,3,5,7,6]=>[2,8,1,4,5,6,7,3]
[3,5,7,6,1,2,4,8]=>[5,1,2,6,7,4,3,8]
[3,5,7,6,2,4,8,1]=>[2,5,6,1,4,3,8,7]
[4,8,6,7,2,3,5,1]=>[5,6,1,3,8,7,4,2]
[4,8,6,7,1,2,3,5]=>[1,5,6,7,3,8,4,2]
[4,8,6,7,1,3,5,2]=>[6,8,1,5,3,7,4,2]
[3,4,8,6,1,5,7,2]=>[6,8,1,2,5,4,7,3]
[3,8,5,7,1,6,4,2]=>[3,8,7,1,5,6,4,2]
[3,2,8,5,6,1,7,4]=>[4,8,1,6,2,5,7,3]
[3,8,5,7,2,1,6,4]=>[5,3,8,1,6,7,4,2]
[3,4,8,6,2,1,5,7]=>[6,1,2,5,7,4,8,3]
[3,5,7,6,2,1,4,8]=>[2,6,1,5,7,4,3,8]
[4,8,6,7,2,1,3,5]=>[6,1,5,7,3,8,4,2]
[4,8,6,7,3,5,2,1]=>[5,3,8,1,7,6,4,2]
[5,8,6,7,3,4,2,1]=>[5,1,3,8,7,6,4,2]
[5,8,6,7,2,1,3,4]=>[1,6,5,7,3,8,4,2]
[5,8,6,7,2,1,4,3]=>[1,5,8,6,3,7,4,2]
[4,8,6,7,2,1,5,3]=>[5,8,1,6,3,7,4,2]
[4,3,1,7,5,2,8,6]=>[2,1,5,8,6,3,4,7]
[4,3,2,8,5,1,7,6]=>[2,1,5,8,3,6,7,4]
[4,3,8,5,1,6,7,2]=>[1,6,2,4,8,5,7,3]
[4,8,6,7,1,5,3,2]=>[8,7,1,5,3,6,4,2]
[5,8,6,7,1,4,3,2]=>[8,1,7,5,3,6,4,2]
[5,8,6,7,2,3,4,1]=>[1,5,6,3,8,7,4,2]
[5,8,6,7,2,4,3,1]=>[8,1,5,3,7,6,4,2]
[5,8,6,7,1,2,4,3]=>[1,8,5,6,3,7,4,2]
[4,2,3,8,5,1,6,7]=>[6,2,1,3,5,7,8,4]
[4,2,8,5,1,7,6,3]=>[1,4,8,7,2,5,6,3]
[3,4,2,8,5,6,1,7]=>[1,2,5,7,3,6,8,4]
[3,2,4,8,6,1,5,7]=>[1,6,7,2,3,5,8,4]
[3,2,5,7,6,1,4,8]=>[1,3,6,7,2,5,4,8]
[4,8,6,7,1,3,2,5]=>[7,1,5,6,3,8,4,2]
[4,8,6,7,1,2,5,3]=>[8,1,5,6,3,7,4,2]
[4,8,6,7,2,5,3,1]=>[8,5,1,3,7,6,4,2]
[4,3,8,5,2,6,7,1]=>[1,5,2,4,6,8,7,3]
[4,3,8,5,1,2,6,7]=>[2,1,5,6,4,7,8,3]
[4,2,6,7,5,1,3,8]=>[1,6,3,7,2,5,4,8]
[3,8,5,7,1,4,2,6]=>[7,5,1,3,6,8,4,2]
[3,8,4,7,1,5,2,6]=>[3,7,1,5,6,8,4,2]
[3,5,2,8,4,6,1,7]=>[5,1,2,7,3,6,8,4]
[3,5,1,7,4,6,2,8]=>[5,1,2,7,6,3,4,8]
[3,8,4,7,2,5,1,6]=>[3,5,7,1,6,8,4,2]
[4,1,3,8,5,2,6,7]=>[6,3,1,5,7,8,2,4]
[4,1,2,6,7,5,3,8]=>[4,1,7,6,2,3,5,8]
[4,2,6,7,5,3,8,1]=>[1,3,6,5,2,4,8,7]
[4,8,6,7,3,2,5,1]=>[6,5,1,3,8,7,4,2]
[4,8,6,7,3,1,2,5]=>[6,7,1,5,3,8,4,2]
[3,1,5,7,6,2,4,8]=>[1,3,6,7,5,2,4,8]
[3,4,1,7,5,6,2,8]=>[1,2,5,7,6,3,4,8]
[4,1,7,5,2,8,6,3]=>[1,4,8,7,5,2,3,6]
[4,1,6,7,5,2,3,8]=>[1,6,3,7,5,2,4,8]
[4,8,6,7,2,3,1,5]=>[5,7,1,6,3,8,4,2]
[5,8,6,7,3,2,4,1]=>[6,1,5,3,8,7,4,2]
[5,8,6,7,4,2,3,1]=>[6,1,3,8,7,5,4,2]
[5,8,6,7,4,1,2,3]=>[1,6,7,3,8,5,4,2]
[5,8,6,7,4,1,3,2]=>[8,1,6,3,7,5,4,2]
[5,8,6,7,3,1,4,2]=>[8,1,6,5,3,7,4,2]
[4,8,6,7,3,1,5,2]=>[8,6,1,5,3,7,4,2]
[4,1,6,7,5,3,8,2]=>[1,3,6,5,4,8,2,7]
[4,1,7,5,3,2,8,6]=>[1,5,4,8,6,2,3,7]
[4,2,8,5,3,1,7,6]=>[1,5,4,8,2,6,7,3]
[4,2,1,6,7,5,3,8]=>[4,1,7,2,6,3,5,8]
[4,8,6,7,3,2,1,5]=>[7,6,1,5,3,8,4,2]
[5,8,6,7,4,2,1,3]=>[7,1,6,3,8,5,4,2]
[5,8,6,7,4,3,1,2]=>[7,1,3,8,6,5,4,2]
[7,3,5,8,1,4,2,6]=>[7,2,5,3,6,1,8,4]
[3,8,7,6,1,4,2,5]=>[7,5,6,8,1,4,3,2]
[5,1,8,3,6,7,2,4]=>[7,4,1,5,8,6,2,3]
[1,4,7,8,5,6,2,3]=>[7,5,2,3,8,6,1,4]
[3,4,7,1,5,8,6,2]=>[8,1,2,5,7,4,3,6]
[3,6,1,4,7,8,5,2]=>[5,8,1,4,2,7,3,6]
[1,6,8,4,7,5,2,3]=>[4,2,7,8,6,5,1,3]
[6,8,1,3,5,7,2,4]=>[7,4,5,1,8,3,6,2]
[7,6,1,4,3,8,2,5]=>[5,4,7,8,3,2,1,6]
[3,8,1,6,5,4,2,7]=>[7,6,1,5,3,4,8,2]
[4,1,3,7,5,8,2,6]=>[5,1,7,3,4,8,2,6]
[6,1,7,3,8,4,2,5]=>[7,4,6,3,1,8,2,5]
[7,1,8,6,3,5,2,4]=>[5,7,8,6,4,2,1,3]
[3,1,7,6,5,8,4,2]=>[5,4,1,3,8,7,2,6]
[8,2,7,6,5,3,4,1]=>[6,8,7,5,2,4,3,1]
[8,4,2,6,7,5,3,1]=>[2,4,8,7,3,6,5,1]
[4,8,1,6,7,5,3,2]=>[4,8,1,7,6,3,5,2]
[7,4,1,6,8,2,5,3]=>[2,8,6,4,7,3,1,5]
[1,3,8,6,2,7,5,4]=>[8,7,5,2,4,6,1,3]
[6,1,3,2,7,8,4,5]=>[7,3,5,8,2,1,4,6]
[1,8,6,2,5,3,4,7]=>[6,7,4,5,3,8,1,2]
[4,7,2,6,8,1,5,3]=>[8,1,6,3,4,2,7,5]
[8,7,3,6,4,5,2,1]=>[5,8,3,7,6,4,2,1]
[5,7,8,6,2,1,4,3]=>[1,5,8,6,2,7,4,3]
[2,7,4,1,6,8,3,5]=>[3,7,5,8,1,4,2,6]
[3,7,2,4,5,1,6,8]=>[1,3,4,6,5,7,2,8]
[1,8,6,4,5,2,3,7]=>[6,4,7,5,3,8,1,2]
[2,8,4,6,5,1,3,7]=>[3,6,7,5,1,4,8,2]
[3,4,1,7,5,2,6,8]=>[1,2,6,5,7,3,4,8]
[7,5,8,6,1,2,4,3]=>[8,5,2,6,1,7,4,3]
[5,6,8,7,3,1,4,2]=>[1,2,8,6,5,7,4,3]
[2,5,4,3,6,8,1,7]=>[4,3,1,2,5,7,8,6]
[3,8,5,4,6,2,1,7]=>[4,3,7,1,6,5,8,2]
[4,8,2,1,3,7,5,6]=>[3,1,7,8,4,5,6,2]
[6,4,1,2,7,5,8,3]=>[6,5,2,8,3,1,4,7]
[4,1,8,3,6,7,5,2]=>[1,5,8,4,7,6,2,3]
[8,3,7,4,5,2,6,1]=>[4,6,2,5,8,7,3,1]
[4,3,7,8,5,1,6,2]=>[8,1,6,2,5,3,7,4]
[5,4,8,2,7,6,1,3]=>[2,1,7,8,4,6,5,3]
[1,2,7,3,6,5,8,4]=>[6,5,8,4,1,2,3,7]
[2,8,7,6,3,4,1,5]=>[5,7,6,8,4,1,3,2]
[5,8,2,6,3,4,1,7]=>[5,1,7,3,6,4,8,2]
[4,1,7,5,8,6,2,3]=>[1,4,7,3,8,6,2,5]
[5,1,7,8,4,3,6,2]=>[1,6,5,3,8,7,2,4]
[8,2,7,5,4,3,6,1]=>[6,5,4,8,2,7,3,1]
[6,3,8,1,4,7,5,2]=>[8,2,5,1,7,4,6,3]
[3,8,4,5,6,1,2,7]=>[3,6,1,4,7,5,8,2]
[1,4,3,5,7,8,2,6]=>[2,7,3,4,5,8,1,6]
[6,5,8,7,1,3,4,2]=>[6,2,1,8,5,7,4,3]
[3,6,7,2,4,8,1,5]=>[4,5,1,2,7,3,8,6]
[1,5,2,7,4,3,8,6]=>[5,2,8,6,1,3,4,7]
[2,8,5,6,4,3,1,7]=>[3,7,6,5,1,4,8,2]
[1,8,6,5,4,3,2,7]=>[7,6,5,4,3,8,1,2]
[6,1,5,2,8,4,7,3]=>[6,3,8,7,2,1,4,5]
[4,6,1,8,5,7,2,3]=>[7,1,5,2,8,6,3,4]
[4,7,1,2,8,5,6,3]=>[1,6,8,7,3,4,2,5]
[1,4,7,2,8,5,6,3]=>[6,8,2,7,4,1,3,5]
[1,7,3,5,8,6,2,4]=>[4,7,8,3,2,6,1,5]
[7,3,5,8,6,1,2,4]=>[6,2,3,7,1,8,5,4]
[3,6,8,1,5,7,2,4]=>[7,5,1,2,8,4,6,3]
[3,4,6,5,8,1,7,2]=>[4,1,2,3,8,6,7,5]
[6,8,1,5,7,2,3,4]=>[6,7,4,1,8,3,5,2]
[7,1,2,5,8,6,3,4]=>[4,7,8,6,2,3,1,5]
[1,7,2,5,8,6,3,4]=>[4,7,8,6,3,1,2,5]
[1,7,6,8,2,3,5,4]=>[8,5,6,3,2,7,1,4]
[7,6,8,1,2,3,5,4]=>[8,4,5,6,2,1,7,3]
[2,7,1,5,8,6,3,4]=>[4,7,8,6,1,3,2,5]
[2,4,7,1,8,5,6,3]=>[6,8,2,7,1,4,3,5]
[4,7,5,8,3,1,6,2]=>[3,8,1,6,5,2,7,4]
[4,7,2,1,8,5,6,3]=>[1,6,8,3,7,4,2,5]
[7,6,8,2,1,3,5,4]=>[4,8,5,6,2,1,7,3]
[1,2,7,6,8,3,5,4]=>[8,6,4,3,7,1,2,5]
[3,7,6,8,2,1,5,4]=>[5,8,6,1,3,2,7,4]
[7,4,2,1,6,8,5,3]=>[5,2,8,3,7,4,1,6]
[6,7,4,1,8,5,3,2]=>[3,1,8,7,6,4,2,5]
[6,7,4,3,1,8,5,2]=>[4,3,1,8,7,5,2,6]
[2,7,4,1,6,8,5,3]=>[3,5,8,7,1,4,2,6]
[2,3,7,6,8,1,5,4]=>[8,6,4,1,2,3,7,5]
[7,4,2,6,8,5,1,3]=>[2,7,4,8,3,1,6,5]
[7,3,2,5,8,6,1,4]=>[2,4,7,8,3,1,6,5]
[3,1,7,6,8,2,5,4]=>[8,6,1,4,3,7,2,5]
[3,7,6,8,1,2,5,4]=>[8,5,6,1,3,2,7,4]
[1,3,7,6,8,2,5,4]=>[8,6,4,2,3,7,1,5]
[1,7,4,2,6,8,5,3]=>[3,5,8,7,4,1,2,6]
[7,4,1,2,6,8,5,3]=>[5,2,8,7,3,4,1,6]
[7,1,4,2,8,5,6,3]=>[3,6,8,7,2,4,1,5]
[7,1,8,2,5,4,6,3]=>[6,5,8,4,7,2,1,3]
[7,3,8,4,6,1,5,2]=>[4,8,2,6,1,7,5,3]
[7,2,8,1,6,4,5,3]=>[6,8,7,2,4,1,5,3]
[7,1,6,8,5,4,2,3]=>[7,3,8,6,5,2,1,4]
[7,1,2,6,8,5,4,3]=>[4,8,7,6,2,3,1,5]
[1,7,2,6,8,5,4,3]=>[4,8,7,6,3,1,2,5]
[1,7,6,8,3,2,5,4]=>[5,8,6,3,2,7,1,4]
[7,6,8,3,1,2,5,4]=>[8,5,4,6,2,1,7,3]
[7,1,5,8,6,3,2,4]=>[3,7,6,8,5,2,1,4]
[7,2,5,8,6,3,1,4]=>[3,7,6,8,2,1,5,4]
[3,6,7,1,8,5,4,2]=>[2,8,7,1,6,4,3,5]
[7,2,6,8,5,4,1,3]=>[7,3,8,6,2,1,5,4]
[7,6,8,2,3,1,5,4]=>[4,5,8,6,2,1,7,3]
[2,7,6,8,3,1,5,4]=>[5,8,6,3,1,2,7,4]
[2,7,1,6,8,5,4,3]=>[4,8,7,6,1,3,2,5]
[6,7,3,1,8,5,4,2]=>[8,3,1,7,6,4,2,5]
[6,7,1,8,5,4,3,2]=>[1,8,7,6,5,3,2,4]
[7,2,1,6,8,5,4,3]=>[4,8,7,2,6,3,1,5]
[7,6,8,3,2,1,5,4]=>[5,4,8,6,2,1,7,3]
[4,7,8,5,6,1,3,2]=>[8,6,1,4,2,7,5,3]
[4,6,5,8,7,1,3,2]=>[3,1,2,8,6,7,5,4]
[5,6,4,8,1,2,7,3]=>[1,8,5,3,2,6,7,4]
[8,1,5,6,7,2,4,3]=>[3,8,6,4,7,2,5,1]
[6,4,5,1,8,2,7,3]=>[2,8,6,3,1,7,4,5]
[5,4,6,7,1,2,8,3]=>[2,1,8,5,3,6,4,7]
[4,3,6,7,2,1,5,8]=>[1,6,2,5,3,7,4,8]
[5,3,6,7,1,4,2,8]=>[7,2,1,5,3,6,4,8]
[8,1,4,6,7,3,2,5]=>[7,3,6,4,8,2,5,1]
[8,1,3,6,7,4,5,2]=>[6,4,8,3,7,2,5,1]
[7,2,1,6,8,4,5,3]=>[6,4,8,2,7,3,1,5]
[5,2,6,7,1,4,8,3]=>[6,3,1,8,2,5,4,7]
[4,2,6,7,3,1,8,5]=>[1,5,3,8,2,6,4,7]
[6,2,4,1,5,8,7,3]=>[3,8,2,5,1,7,4,6]
[7,2,1,5,4,8,6,3]=>[4,8,2,5,7,3,1,6]
[8,1,4,5,3,7,2,6]=>[3,5,4,7,8,2,6,1]
[7,3,1,5,4,8,2,6]=>[2,5,4,7,8,3,1,6]
[6,3,4,1,5,8,2,7]=>[2,5,3,7,1,8,4,6]
[5,3,4,2,1,8,6,7]=>[2,4,3,1,7,8,5,6]
[4,3,5,2,7,1,6,8]=>[2,1,4,3,6,7,5,8]
[5,6,3,8,1,4,2,7]=>[3,1,7,5,2,6,8,4]
[8,1,7,2,4,5,6,3]=>[5,6,8,4,7,2,3,1]
[7,6,1,2,4,5,8,3]=>[5,6,8,3,4,2,1,7]
[4,7,8,2,3,1,6,5]=>[1,4,5,8,6,2,7,3]
[5,6,2,8,1,4,7,3]=>[6,1,8,3,2,5,7,4]
[6,5,2,1,3,7,8,4]=>[3,6,8,4,2,1,5,7]
[7,5,1,3,2,6,8,4]=>[4,6,8,3,2,5,1,7]
[8,1,6,3,2,5,7,4]=>[4,6,8,5,2,3,7,1]
[7,4,1,3,5,2,8,6]=>[4,5,2,8,3,6,1,7]
[5,4,2,3,1,6,8,7]=>[3,4,2,1,8,5,6,7]
[7,3,1,4,5,6,2,8]=>[4,2,5,7,3,6,1,8]
[8,1,4,3,5,6,2,7]=>[4,3,5,7,2,6,8,1]
[6,2,3,1,5,7,8,4]=>[2,3,5,6,1,8,4,7]
[7,8,4,2,1,6,5,3]=>[8,4,3,7,5,1,6,2]
[7,8,4,2,1,5,6,3]=>[4,6,3,8,5,1,7,2]
[6,2,3,4,8,7,1,5]=>[7,8,2,3,1,4,6,5]
[6,2,3,4,7,8,1,5]=>[7,2,3,4,1,5,8,6]
[7,8,3,4,6,2,1,5]=>[3,4,7,6,1,8,5,2]
[7,8,3,6,4,2,1,5]=>[7,3,6,5,1,8,4,2]
[7,8,3,5,6,2,1,4]=>[7,3,6,4,1,8,5,2]
[6,2,3,8,7,5,1,4]=>[7,8,6,2,1,3,5,4]
[6,2,3,7,8,5,1,4]=>[7,4,8,2,1,3,6,5]
[5,2,6,3,8,1,7,4]=>[8,4,2,1,3,6,7,5]
[6,3,2,5,8,7,1,4]=>[2,4,7,1,8,3,6,5]
[6,3,2,8,4,7,1,5]=>[2,5,7,1,8,3,6,4]
[6,4,3,8,7,5,1,2]=>[2,7,1,8,3,6,5,4]
[6,4,3,7,8,5,1,2]=>[2,7,3,1,4,8,6,5]
[6,2,4,1,7,3,5,8]=>[6,2,3,7,4,1,5,8]
[6,3,2,7,4,8,1,5]=>[2,5,7,3,1,4,8,6]
[6,3,2,5,7,8,1,4]=>[2,4,7,3,1,5,8,6]
[5,7,2,3,6,1,8,4]=>[8,3,1,4,6,5,2,7]
[5,8,2,3,6,1,7,4]=>[8,3,1,4,6,5,7,2]
[4,7,5,8,3,2,1,6]=>[3,7,1,6,5,2,8,4]
[4,5,6,8,3,2,1,7]=>[1,2,3,7,6,5,8,4]
[4,6,8,5,3,2,1,7]=>[2,7,1,6,5,4,8,3]
[5,6,1,4,2,3,7,8]=>[5,6,3,1,4,2,7,8]
[5,6,8,4,3,7,1,2]=>[1,2,7,5,4,8,6,3]
[5,6,1,4,2,3,8,7]=>[8,5,3,1,4,2,6,7]
[5,2,8,3,4,1,7,6]=>[4,5,1,8,2,6,7,3]
[4,5,8,6,3,2,1,7]=>[7,1,2,6,5,4,8,3]
[4,6,5,8,3,2,1,7]=>[3,1,2,7,6,5,8,4]
[4,7,5,6,3,2,1,8]=>[3,7,1,6,5,4,2,8]
[6,2,3,4,5,8,1,7]=>[2,3,4,5,1,7,8,6]
[5,1,4,3,6,2,8,7]=>[4,3,5,1,8,2,6,7]
[5,1,4,3,7,2,8,6]=>[3,8,4,1,6,2,5,7]
[5,1,4,3,8,2,7,6]=>[3,8,4,1,6,7,2,5]
[5,6,2,4,1,7,8,3]=>[6,3,1,4,2,8,5,7]
[5,6,2,4,1,8,7,3]=>[4,1,8,3,2,7,5,6]
[5,7,2,4,1,8,6,3]=>[4,1,8,3,7,5,2,6]
[6,1,4,2,8,7,5,3]=>[8,3,7,6,2,1,4,5]
[6,1,4,2,7,8,5,3]=>[3,5,8,7,2,1,4,6]
[5,8,2,4,1,7,6,3]=>[4,1,8,3,7,5,6,2]
[5,2,7,4,1,6,8,3]=>[6,4,1,8,2,5,3,7]
[5,4,1,3,7,2,6,8]=>[4,6,2,1,7,3,5,8]
[5,1,4,3,6,2,7,8]=>[4,3,6,2,1,5,7,8]
[5,8,6,4,3,7,1,2]=>[7,1,5,4,3,8,6,2]
[5,8,1,4,2,3,7,6]=>[8,5,3,1,4,6,7,2]
[5,1,6,3,4,2,7,8]=>[4,6,5,2,1,3,7,8]
[4,8,6,5,3,2,1,7]=>[7,6,1,5,4,3,8,2]
[4,8,5,6,3,2,1,7]=>[3,7,1,6,5,4,8,2]
[5,4,7,8,3,2,1,6]=>[1,7,2,6,5,3,8,4]
[5,4,8,7,3,2,1,6]=>[1,7,2,6,5,8,4,3]
[4,6,8,7,3,2,1,5]=>[2,7,1,6,5,8,4,3]
[4,6,7,8,3,2,1,5]=>[2,7,1,6,5,3,8,4]
[4,7,6,8,3,2,1,5]=>[7,6,1,5,3,2,8,4]
[4,7,8,5,3,2,1,6]=>[7,6,1,5,4,2,8,3]
[5,7,1,3,4,2,6,8]=>[4,6,3,1,5,7,2,8]
[5,1,8,4,2,3,6,7]=>[5,6,4,1,7,8,2,3]
[5,1,7,4,2,3,6,8]=>[5,6,4,1,7,2,3,8]
[5,8,1,3,4,2,6,7]=>[4,6,3,1,5,7,8,2]
[4,8,7,5,3,2,1,6]=>[7,6,1,5,4,8,3,2]
[4,7,8,6,3,2,1,5]=>[7,6,1,5,2,8,4,3]
[4,8,7,6,3,2,1,5]=>[7,6,1,5,8,4,3,2]
[4,8,2,6,3,7,5,1]=>[8,1,5,3,4,7,6,2]
[4,8,2,3,6,7,5,1]=>[1,5,8,3,4,7,6,2]
[4,8,3,1,6,7,5,2]=>[1,3,5,8,7,4,6,2]
[4,3,8,1,6,2,5,7]=>[2,1,6,7,4,5,8,3]
[1,4,8,7,3,5,2,6]=>[5,7,2,6,8,4,1,3]
[4,3,8,7,2,5,1,6]=>[1,5,7,2,6,8,4,3]
[5,8,4,3,7,1,6,2]=>[1,4,3,8,6,7,5,2]
[5,8,1,4,7,2,6,3]=>[4,1,8,6,7,3,5,2]
[5,8,1,7,4,2,3,6]=>[6,1,7,5,8,3,4,2]
[6,8,1,2,4,3,5,7]=>[6,3,4,5,1,7,8,2]
[5,8,7,1,3,4,2,6]=>[5,1,7,4,6,8,3,2]
[4,8,7,6,3,1,2,5]=>[6,7,1,5,8,4,3,2]
[5,8,4,7,3,1,2,6]=>[1,6,3,7,5,8,4,2]
[4,3,8,2,7,5,6,1]=>[1,6,8,2,4,7,5,3]
[1,4,8,3,7,5,6,2]=>[6,8,2,4,7,5,1,3]
[1,4,3,8,2,6,5,7]=>[2,7,3,5,6,8,1,4]
[4,3,2,8,1,6,5,7]=>[2,1,7,3,5,6,8,4]
[4,1,3,8,2,6,5,7]=>[7,3,1,5,6,8,2,4]
[4,1,8,3,7,5,6,2]=>[1,6,8,4,7,5,2,3]
[4,1,8,7,3,5,2,6]=>[1,5,7,6,8,4,2,3]
[3,7,8,1,5,4,2,6]=>[7,6,1,4,5,2,8,3]
[7,3,8,1,5,4,6,2]=>[6,2,5,8,4,1,7,3]
[3,4,8,1,6,2,5,7]=>[1,2,6,7,4,5,8,3]
[3,4,8,7,2,5,1,6]=>[5,7,1,2,6,8,4,3]
[3,4,8,2,7,5,6,1]=>[6,8,1,2,4,7,5,3]
[1,2,4,8,3,6,5,7]=>[7,3,5,6,8,1,2,4]
[1,2,4,3,8,6,5,7]=>[7,3,6,8,1,2,4,5]
[3,4,2,1,8,6,5,7]=>[1,2,7,3,6,8,4,5]
[3,4,1,8,2,6,5,7]=>[1,2,7,5,6,8,3,4]
[3,6,7,8,4,1,2,5]=>[6,2,7,1,5,3,8,4]
[4,1,7,8,5,3,2,6]=>[7,1,6,5,3,8,2,4]
[4,1,2,8,3,6,5,7]=>[7,5,1,6,8,2,3,4]
[1,4,3,2,8,6,5,7]=>[2,7,3,6,8,1,4,5]
[4,2,3,1,8,6,5,7]=>[7,2,1,3,6,8,4,5]
[3,7,6,8,4,2,1,5]=>[7,6,5,1,3,2,8,4]
[4,7,1,8,5,2,3,6]=>[1,6,7,5,8,3,2,4]
[2,6,8,7,4,3,1,5]=>[2,7,6,5,8,1,4,3]
[3,7,8,6,2,4,1,5]=>[5,7,6,1,2,8,4,3]
[3,7,8,2,6,4,5,1]=>[6,8,4,1,2,7,5,3]
[4,2,3,8,1,6,5,7]=>[7,2,1,3,5,6,8,4]
[4,3,1,8,2,6,5,7]=>[2,1,7,5,6,8,3,4]
[1,4,7,8,5,3,2,6]=>[7,6,2,5,3,8,1,4]
[4,3,7,8,5,2,1,6]=>[7,1,6,2,5,3,8,4]
[3,7,2,8,4,6,5,1]=>[8,5,7,1,3,2,6,4]
[4,2,8,6,3,1,5,7]=>[1,6,5,7,2,4,8,3]
[2,6,8,4,7,3,1,5]=>[4,2,7,6,8,1,5,3]
[2,4,8,6,3,1,5,7]=>[6,2,5,7,1,4,8,3]
[7,3,6,8,4,2,1,5]=>[7,6,2,5,3,1,8,4]
[7,6,2,8,3,5,4,1]=>[8,5,7,3,2,1,6,4]
[1,7,3,8,4,6,5,2]=>[8,5,7,3,2,6,1,4]
[1,3,4,8,2,6,5,7]=>[7,2,3,5,6,8,1,4]
[3,2,4,8,1,6,5,7]=>[1,7,2,3,5,6,8,4]
[7,3,8,6,2,4,1,5]=>[5,7,2,6,1,8,4,3]
[7,3,8,2,6,4,5,1]=>[6,8,2,4,1,7,5,3]
[2,4,8,3,6,1,5,7]=>[2,4,6,7,1,5,8,3]
[6,2,8,7,4,3,5,1]=>[6,5,1,8,7,2,4,3]
[7,4,1,8,5,2,6,3]=>[2,8,6,5,7,3,1,4]
[7,3,2,8,4,6,5,1]=>[8,2,5,7,3,1,6,4]
[2,4,3,1,8,6,5,7]=>[2,7,1,3,6,8,4,5]
[1,3,4,2,8,6,5,7]=>[7,2,3,6,8,1,4,5]
[1,3,2,4,8,6,5,7]=>[7,2,6,8,1,3,4,5]
[3,2,1,4,8,6,5,7]=>[1,7,2,6,8,3,4,5]
[3,1,2,4,8,6,5,7]=>[1,7,6,8,2,3,4,5]
[3,1,4,2,8,6,5,7]=>[1,7,3,6,8,2,4,5]
[3,1,4,8,2,6,5,7]=>[1,7,3,5,6,8,2,4]
[7,3,4,8,5,1,6,2]=>[8,2,3,6,5,1,7,4]
[3,7,4,8,5,1,2,6]=>[3,6,7,1,5,2,8,4]
[6,7,2,8,3,5,4,1]=>[8,5,1,7,3,2,6,4]
[2,3,1,4,8,6,5,7]=>[7,1,2,6,8,3,4,5]
[2,1,3,4,8,6,5,7]=>[7,1,6,8,2,3,4,5]
[1,2,3,4,8,6,5,7]=>[7,6,8,1,2,3,4,5]
[4,8,3,6,2,1,5,7]=>[1,3,6,5,7,4,8,2]
[3,5,8,2,6,1,4,7]=>[4,1,2,6,7,5,8,3]
[3,6,5,8,2,4,1,7]=>[5,3,1,2,7,6,8,4]
[5,3,8,7,2,4,6,1]=>[5,1,6,8,2,7,4,3]
[2,8,4,5,7,3,6,1]=>[3,4,6,8,7,1,5,2]
[2,4,5,7,3,8,1,6]=>[2,3,5,7,1,4,8,6]
[6,2,4,5,8,3,1,7]=>[3,4,7,2,1,6,8,5]
[4,8,1,2,5,6,3,7]=>[5,1,7,3,4,6,8,2]
[8,1,3,5,2,6,4,7]=>[7,3,5,2,4,6,8,1]
[5,2,1,6,3,8,4,7]=>[7,2,4,1,8,3,5,6]
[6,2,5,1,8,4,3,7]=>[7,6,2,3,1,8,4,5]
[3,6,1,5,8,4,2,7]=>[4,7,1,6,2,8,3,5]
[6,1,4,5,8,3,2,7]=>[3,4,7,6,1,8,2,5]
[5,6,4,8,1,3,2,7]=>[1,7,5,3,2,6,8,4]
[6,5,4,3,8,2,1,7]=>[4,3,2,1,7,6,8,5]
[5,4,3,7,2,8,1,6]=>[3,2,1,5,7,4,8,6]
[5,8,4,3,7,2,6,1]=>[1,4,3,6,8,7,5,2]
[4,6,8,3,7,2,5,1]=>[4,1,2,6,8,7,5,3]
[7,4,6,3,2,8,1,5]=>[2,5,4,7,3,1,8,6]
[1,4,3,6,2,7,8,5]=>[2,6,3,4,8,1,5,7]
[1,5,4,3,7,2,8,6]=>[3,2,8,4,6,1,5,7]
[4,7,8,5,3,1,2,6]=>[6,7,1,5,4,2,8,3]
[5,7,3,4,1,2,8,6]=>[3,1,8,5,4,6,2,7]
[8,5,4,7,6,2,1,3]=>[3,2,7,6,8,5,4,1]
[8,5,7,4,3,6,1,2]=>[2,7,5,4,8,6,3,1]
[4,3,8,1,6,7,5,2]=>[1,5,8,2,7,4,6,3]
[4,7,8,3,6,1,5,2]=>[4,8,1,6,2,7,5,3]
[5,3,8,6,7,4,1,2]=>[1,7,4,8,2,6,5,3]
[1,3,8,6,4,7,5,2]=>[8,5,4,7,2,6,1,3]
[8,6,2,7,4,1,5,3]=>[8,6,3,5,2,7,4,1]
[7,6,2,1,4,3,8,5]=>[3,5,8,4,6,2,1,7]
[7,6,1,3,4,2,8,5]=>[4,5,8,3,6,2,1,7]
[1,5,7,3,2,6,8,4]=>[4,2,6,8,5,1,3,7]
[1,6,7,3,2,5,8,4]=>[4,6,2,8,5,1,3,7]
[3,2,6,8,5,7,4,1]=>[3,5,8,1,7,2,6,4]
[5,8,2,3,6,7,4,1]=>[5,1,8,3,4,7,6,2]
[7,5,2,3,1,6,8,4]=>[3,4,6,2,8,5,1,7]
[1,6,4,7,2,3,8,5]=>[3,8,5,2,6,1,4,7]
[3,1,7,5,2,8,4,6]=>[7,1,4,8,5,2,3,6]
[2,5,7,4,1,8,3,6]=>[2,7,4,8,1,5,3,6]
[4,2,6,1,7,8,3,5]=>[1,7,5,2,3,8,4,6]
[4,2,7,6,3,8,1,5]=>[1,5,7,4,2,3,8,6]
[6,4,8,7,2,3,5,1]=>[2,5,1,6,8,7,4,3]
[3,2,6,8,7,4,5,1]=>[3,6,8,1,7,2,5,4]
[3,2,7,4,1,6,8,5]=>[1,4,6,8,2,5,3,7]
[6,3,2,1,7,8,4,5]=>[2,7,3,5,1,8,4,6]
[3,7,1,8,4,2,5,6]=>[6,1,5,7,8,3,2,4]
[4,2,1,3,7,5,8,6]=>[8,2,1,6,3,4,5,7]
[8,1,3,7,4,2,6,5]=>[5,8,3,6,7,2,4,1]
[8,4,3,7,6,2,1,5]=>[2,7,3,6,8,5,4,1]
[8,3,5,2,7,6,1,4]=>[7,2,3,8,4,6,5,1]
[3,6,2,8,7,1,5,4]=>[8,6,1,2,7,3,5,4]
[7,3,2,8,1,6,5,4]=>[8,2,7,3,5,1,6,4]
[3,8,7,2,6,5,4,1]=>[8,7,4,6,1,5,3,2]
[4,2,7,8,6,1,5,3]=>[8,1,6,3,7,2,5,4]
[6,8,2,4,7,1,5,3]=>[4,8,3,1,6,7,5,2]
[5,2,1,8,7,3,6,4]=>[8,6,1,7,2,5,3,4]
[8,2,1,6,3,7,5,4]=>[8,7,2,5,3,4,6,1]
[6,8,3,1,7,5,2,4]=>[3,7,1,8,6,4,5,2]
[5,8,1,6,7,2,4,3]=>[1,8,6,4,7,3,5,2]
[6,2,8,1,5,7,4,3]=>[5,8,7,2,1,4,6,3]
[5,7,8,2,6,1,4,3]=>[1,8,4,6,2,7,5,3]
[8,7,2,5,6,4,3,1]=>[4,8,7,3,6,5,2,1]
[8,6,7,5,2,4,3,1]=>[8,5,2,7,6,4,3,1]
[7,2,6,8,1,5,4,3]=>[8,7,5,2,3,1,6,4]
[1,2,7,8,5,6,4,3]=>[5,3,8,7,6,1,2,4]
[7,4,8,1,6,2,5,3]=>[2,8,6,7,4,1,5,3]
[3,7,1,8,2,6,5,4]=>[8,7,1,5,6,3,2,4]
[2,1,7,3,8,6,5,4]=>[8,7,6,1,4,2,3,5]
[8,2,1,7,6,5,4,3]=>[8,7,6,2,5,3,4,1]
[8,1,4,7,6,5,3,2]=>[8,7,3,6,5,2,4,1]
[8,6,7,5,1,4,3,2]=>[8,7,5,2,6,4,3,1]
[7,8,6,5,4,1,3,2]=>[8,6,1,7,5,4,3,2]
[5,8,4,3,2,1,6,7]=>[1,6,5,4,3,7,8,2]
[6,4,7,3,2,1,8,5]=>[2,5,4,1,8,6,3,7]
[5,4,7,3,2,1,6,8]=>[2,1,6,5,4,7,3,8]
[6,5,3,7,2,1,4,8]=>[3,6,5,2,1,7,4,8]
[5,8,3,6,2,1,4,7]=>[3,1,6,5,7,4,8,2]
[6,3,7,8,2,1,4,5]=>[6,2,5,1,7,3,8,4]
[5,3,7,6,2,1,4,8]=>[6,2,1,5,7,4,3,8]
[3,8,7,6,2,1,4,5]=>[6,5,7,8,1,4,3,2]
[5,8,4,2,6,1,3,7]=>[4,1,6,3,7,5,8,2]
[4,8,7,2,5,1,3,6]=>[1,4,6,7,5,8,3,2]
[5,8,3,2,6,1,4,7]=>[4,3,1,6,7,5,8,2]
[4,8,3,2,5,1,7,6]=>[1,4,3,5,8,6,7,2]
[4,3,7,2,5,1,8,6]=>[2,1,4,5,8,6,3,7]
[3,8,7,2,5,1,4,6]=>[4,6,7,1,5,8,3,2]
[6,4,2,7,5,1,3,8]=>[6,2,7,3,1,5,4,8]
[6,3,2,7,5,1,4,8]=>[2,6,7,3,1,5,4,8]
[5,3,2,6,7,1,4,8]=>[2,6,3,1,4,7,5,8]
[3,8,2,6,5,1,4,7]=>[6,7,1,3,5,4,8,2]
[6,2,7,8,5,1,3,4]=>[6,7,3,1,8,2,5,4]
[5,2,7,6,8,1,3,4]=>[6,1,7,4,2,3,8,5]
[4,2,7,6,5,1,3,8]=>[1,6,7,5,2,4,3,8]
[2,8,7,6,5,1,3,4]=>[6,7,8,5,4,1,3,2]
[6,5,4,3,1,7,8,2]=>[6,4,3,2,1,8,5,7]
[6,4,7,3,1,5,8,2]=>[2,6,4,1,8,5,3,7]
[5,4,7,3,1,8,6,2]=>[2,1,4,8,7,5,3,6]
[6,4,3,7,1,5,8,2]=>[3,2,6,1,8,5,4,7]
[5,4,3,6,1,8,7,2]=>[3,2,1,4,8,7,5,6]
[6,3,7,8,1,4,5,2]=>[6,8,2,1,5,3,7,4]
[5,3,7,6,1,4,8,2]=>[6,1,8,2,5,4,3,7]
[4,3,7,6,1,5,8,2]=>[1,6,8,2,5,4,3,7]
[3,8,7,6,1,4,5,2]=>[6,8,5,7,1,4,3,2]
[6,5,4,2,1,7,3,8]=>[4,7,5,3,2,1,6,8]
[6,4,7,2,1,5,3,8]=>[4,2,7,5,1,6,3,8]
[4,8,7,2,1,5,3,6]=>[1,4,7,5,6,8,3,2]
[5,8,3,2,1,4,7,6]=>[4,3,1,8,5,6,7,2]
[4,8,3,2,1,5,7,6]=>[1,4,3,8,5,6,7,2]
[5,3,7,2,1,4,8,6]=>[2,4,1,8,5,6,3,7]
[3,8,7,2,1,4,5,6]=>[5,1,4,6,7,8,3,2]
[6,5,2,7,1,4,3,8]=>[7,3,5,2,1,6,4,8]
[5,8,2,6,1,4,3,7]=>[7,3,1,5,6,4,8,2]
[6,4,2,7,1,5,3,8]=>[7,3,2,5,1,6,4,8]
[5,4,2,6,1,8,3,7]=>[7,3,2,1,4,8,5,6]
[4,3,2,6,1,5,8,7]=>[2,1,8,3,5,4,6,7]
[6,2,7,8,1,4,3,5]=>[7,5,6,2,1,3,8,4]
[4,2,7,6,1,5,3,8]=>[1,7,5,6,2,4,3,8]
[3,2,7,6,1,4,5,8]=>[1,5,6,7,2,4,3,8]
[6,5,4,1,8,7,3,2]=>[3,2,1,8,7,6,4,5]
[5,8,4,1,6,7,3,2]=>[1,5,3,8,7,4,6,2]
[6,4,7,1,5,8,3,2]=>[2,5,1,8,7,4,3,6]
[5,4,7,1,6,8,3,2]=>[2,1,5,8,7,4,3,6]
[4,8,7,1,5,6,3,2]=>[5,8,1,7,4,6,3,2]
[5,4,3,1,6,8,7,2]=>[3,2,1,8,5,7,4,6]
[4,8,3,1,5,6,7,2]=>[1,5,3,6,8,4,7,2]
[3,8,7,1,5,4,6,2]=>[6,5,8,1,4,7,3,2]
[5,8,2,1,6,4,3,7]=>[7,3,1,6,4,5,8,2]
[6,3,2,1,5,4,8,7]=>[3,2,5,8,4,1,6,7]
[5,3,2,1,6,4,8,7]=>[3,2,5,1,8,4,6,7]
[3,8,2,1,5,4,6,7]=>[1,3,6,4,5,7,8,2]
[6,2,7,1,5,4,3,8]=>[7,6,2,4,1,5,3,8]
[5,2,7,1,6,4,3,8]=>[7,6,2,1,4,5,3,8]
[4,2,7,1,5,6,3,8]=>[5,1,7,2,4,6,3,8]
[3,2,7,1,5,4,6,8]=>[1,6,2,4,5,7,3,8]
[2,8,7,1,5,4,3,6]=>[7,6,4,5,8,1,3,2]
[6,5,1,7,8,4,3,2]=>[4,2,1,8,7,6,3,5]
[5,8,1,6,7,4,3,2]=>[1,4,8,7,6,3,5,2]
[6,4,1,7,5,8,3,2]=>[2,5,4,1,8,7,3,6]
[5,4,1,6,7,8,3,2]=>[4,2,1,5,8,7,3,6]
[4,8,1,6,5,7,3,2]=>[5,1,4,8,7,3,6,2]
[6,3,1,7,5,4,8,2]=>[6,2,5,4,1,8,3,7]
[5,3,1,6,7,4,8,2]=>[2,4,1,6,5,8,3,7]
[4,3,1,6,5,7,8,2]=>[2,1,5,4,6,8,3,7]
[3,8,1,6,5,4,7,2]=>[6,5,1,4,8,3,7,2]
[5,2,1,6,7,4,3,8]=>[4,7,2,1,6,3,5,8]
[4,2,1,6,5,7,3,8]=>[5,2,1,4,7,3,6,8]
[2,8,1,6,5,4,3,7]=>[7,6,5,1,3,4,8,2]
[6,1,7,8,5,4,3,2]=>[3,1,8,7,6,5,2,4]
[4,1,7,6,5,8,3,2]=>[5,1,4,3,8,7,2,6]
[3,1,7,6,5,4,8,2]=>[6,5,1,4,3,8,2,7]
[4,5,8,1,2,6,3,7]=>[1,7,4,2,5,6,8,3]
[1,4,5,7,2,6,3,8]=>[2,3,7,5,6,1,4,8]
[1,7,3,5,6,2,4,8]=>[6,3,4,7,5,1,2,8]
[8,1,3,5,7,2,4,6]=>[6,3,4,7,8,2,5,1]
[3,6,8,1,7,2,4,5]=>[6,7,1,2,8,4,5,3]
[3,4,5,6,8,1,7,2]=>[1,2,3,4,8,6,7,5]
[4,5,8,2,6,7,1,3]=>[1,2,7,4,5,8,6,3]
[8,2,3,5,6,7,1,4]=>[4,7,2,3,5,8,6,1]
[1,7,2,3,5,4,6,8]=>[6,3,4,5,7,1,2,8]
[8,1,2,3,5,4,6,7]=>[6,2,3,4,5,7,8,1]
[2,7,8,1,3,5,4,6]=>[7,4,5,6,1,2,8,3]
[2,7,8,3,5,6,1,4]=>[7,4,5,2,8,1,6,3]
[2,4,5,7,8,1,6,3]=>[8,2,3,6,1,4,7,5]
[4,5,8,1,7,6,3,2]=>[8,1,2,7,6,4,5,3]
[4,5,8,7,2,1,6,3]=>[1,2,5,8,6,7,4,3]
[8,7,3,5,6,2,1,4]=>[7,3,6,4,8,5,2,1]
[8,7,2,1,3,5,4,6]=>[3,7,4,5,6,8,2,1]
[3,6,8,7,2,1,5,4]=>[5,2,8,1,6,7,4,3]
[8,6,4,1,7,5,3,2]=>[3,8,7,6,4,2,5,1]
[7,6,4,3,1,8,5,2]=>[4,3,8,7,5,2,1,6]
[2,3,6,7,8,1,5,4]=>[3,8,6,1,2,4,7,5]
[3,6,8,1,2,5,4,7]=>[7,1,4,5,2,6,8,3]
[1,3,6,7,2,5,4,8]=>[7,5,2,3,6,1,4,8]
[7,4,1,8,5,2,3,6]=>[6,2,7,5,8,3,1,4]
[7,1,4,2,8,3,6,5]=>[3,8,6,7,2,4,1,5]
[7,1,8,2,5,3,6,4]=>[8,6,4,5,7,2,1,3]
[8,1,7,5,4,2,3,6]=>[6,7,5,4,8,2,3,1]
[1,7,2,6,5,4,3,8]=>[7,6,5,3,4,1,2,8]
[1,7,6,3,2,5,4,8]=>[4,7,5,6,3,1,2,8]
[8,6,3,1,2,5,4,7]=>[7,4,3,5,6,2,8,1]
[8,1,7,6,3,2,4,5]=>[6,5,7,8,4,2,3,1]
[8,2,5,7,6,3,1,4]=>[3,7,6,8,2,5,4,1]
[3,6,8,1,7,5,4,2]=>[2,8,7,1,6,4,5,3]
[8,2,6,7,5,4,1,3]=>[7,3,8,6,2,5,4,1]
[2,7,8,6,3,1,5,4]=>[5,8,6,2,7,1,4,3]
[2,7,8,1,6,5,4,3]=>[8,7,6,4,1,2,5,3]
[7,3,1,8,6,5,4,2]=>[8,7,2,6,5,3,1,4]
[8,7,2,1,6,5,4,3]=>[8,7,3,6,4,5,2,1]
[8,7,6,3,2,1,5,4]=>[5,4,8,6,7,3,2,1]
[2,1,8,6,3,7,4,5]=>[7,8,5,1,4,6,2,3]
[8,6,1,5,2,7,4,3]=>[8,7,5,3,4,2,6,1]
[8,5,1,7,4,2,6,3]=>[8,6,5,2,7,3,4,1]
[2,1,7,5,4,3,8,6]=>[5,4,8,1,6,2,3,7]
[2,1,8,4,5,3,6,7]=>[4,6,1,5,7,8,2,3]
[2,1,7,8,3,6,5,4]=>[8,7,5,1,3,6,2,4]
[2,1,8,5,7,6,3,4]=>[4,7,8,6,1,5,2,3]
[2,1,4,8,5,7,3,6]=>[5,7,8,1,3,6,2,4]
[2,1,5,4,6,8,3,7]=>[4,1,3,5,7,8,2,6]
[8,5,3,1,6,2,4,7]=>[6,3,7,4,2,5,8,1]
[7,5,1,4,6,8,3,2]=>[4,5,2,8,7,3,1,6]
[6,4,1,5,2,3,8,7]=>[8,5,3,2,4,1,6,7]
[8,3,7,5,2,6,1,4]=>[5,7,2,4,8,6,3,1]
[5,3,7,4,6,8,1,2]=>[4,1,7,2,5,3,8,6]
[5,8,3,7,6,2,1,4]=>[1,7,3,6,8,5,4,2]
[5,2,4,8,6,3,1,7]=>[7,3,1,6,2,5,8,4]
[4,2,6,3,8,5,1,7]=>[1,7,4,2,3,6,8,5]
[4,6,3,2,7,8,1,5]=>[1,3,7,4,2,5,8,6]
[3,8,2,4,7,5,1,6]=>[7,1,3,4,6,8,5,2]
[3,6,8,7,5,4,1,2]=>[2,7,8,6,1,5,4,3]
[8,5,2,7,4,6,1,3]=>[7,5,2,8,3,6,4,1]
[5,8,2,1,7,6,4,3]=>[1,8,7,3,6,4,5,2]
[6,3,8,1,5,7,4,2]=>[5,8,2,1,7,4,6,3]
[8,3,2,4,1,7,5,6]=>[3,2,4,7,8,5,6,1]
[7,4,2,3,1,8,6,5]=>[8,3,2,4,7,5,1,6]
[7,2,4,3,1,5,8,6]=>[4,2,3,8,5,6,1,7]
[7,8,3,1,5,4,6,2]=>[3,6,5,8,4,1,7,2]
[7,2,8,1,4,6,5,3]=>[8,5,7,2,4,1,6,3]
[6,2,3,1,4,5,8,7]=>[2,3,8,4,5,1,6,7]
[5,6,1,4,3,2,8,7]=>[5,4,1,8,3,2,6,7]
[5,7,1,8,3,6,2,4]=>[5,1,7,8,6,3,2,4]
[6,8,1,4,5,3,2,7]=>[4,7,6,3,1,5,8,2]
[6,7,1,5,4,3,8,2]=>[6,5,4,1,8,3,2,7]
[8,7,5,1,3,4,2,6]=>[5,7,4,6,3,8,2,1]
[6,5,7,1,3,8,2,4]=>[5,7,2,1,8,4,3,6]
[8,2,6,1,4,7,3,5]=>[5,7,8,2,4,3,6,1]
[5,8,1,6,3,7,4,2]=>[1,8,5,4,7,3,6,2]
[8,3,5,6,1,7,4,2]=>[3,8,2,7,5,4,6,1]
[7,5,4,8,2,1,3,6]=>[6,5,3,2,7,1,8,4]
[7,3,6,5,4,1,8,2]=>[8,6,2,5,4,3,1,7]
[8,3,6,4,5,1,2,7]=>[6,2,4,7,5,3,8,1]
[7,3,5,8,1,6,2,4]=>[7,2,3,8,5,1,6,4]
[6,3,5,4,1,2,8,7]=>[8,2,5,4,3,1,6,7]
[2,6,3,5,1,4,8,7]=>[8,3,5,1,4,2,6,7]
[2,7,8,5,1,6,4,3]=>[8,7,5,4,1,2,6,3]
[8,7,3,6,5,1,4,2]=>[8,3,6,7,5,4,2,1]
[2,8,3,4,6,1,5,7]=>[3,4,6,7,1,5,8,2]
[2,7,4,3,6,1,8,5]=>[3,8,4,6,1,5,2,7]
[3,4,7,2,8,1,5,6]=>[1,2,4,6,7,3,8,5]
[4,3,2,5,7,1,8,6]=>[2,1,8,3,4,6,5,7]
[4,2,3,5,8,1,6,7]=>[2,3,1,4,6,7,8,5]
[3,2,8,4,7,1,6,5]=>[8,1,4,6,7,2,5,3]
[8,2,4,7,5,1,6,3]=>[8,3,6,2,5,7,4,1]
[3,8,4,7,1,6,5,2]=>[8,3,7,1,5,6,4,2]
[3,2,4,6,1,5,8,7]=>[1,8,2,3,5,4,6,7]
[8,3,4,5,7,6,1,2]=>[2,3,4,7,8,6,5,1]
[2,8,4,6,5,7,1,3]=>[7,3,5,4,8,1,6,2]
[2,3,8,4,6,7,1,5]=>[7,4,5,8,1,2,6,3]
[2,4,3,5,8,7,1,6]=>[2,7,8,1,3,4,6,5]
[3,2,4,5,6,8,1,7]=>[2,1,3,4,5,7,8,6]
[5,6,8,1,4,2,7,3]=>[1,8,6,4,2,5,7,3]
[1,5,7,8,4,6,2,3]=>[7,2,5,3,8,6,1,4]
[1,3,5,7,8,6,2,4]=>[7,3,4,8,2,6,1,5]
[3,5,7,8,6,1,2,4]=>[2,6,7,1,3,8,5,4]
[3,5,1,6,8,2,7,4]=>[4,1,2,8,6,7,3,5]
[3,1,5,6,8,2,7,4]=>[1,3,4,8,6,7,2,5]
[2,3,5,6,8,1,7,4]=>[3,4,8,1,2,6,7,5]
[5,6,4,8,2,1,7,3]=>[1,5,3,2,8,6,7,4]
[5,1,6,3,8,4,7,2]=>[6,3,1,8,4,7,2,5]
[2,5,1,6,8,3,7,4]=>[4,2,8,1,6,7,3,5]
[5,1,2,6,8,3,7,4]=>[4,8,6,1,7,2,3,5]
[5,7,1,8,6,2,3,4]=>[6,1,7,8,5,3,2,4]
[1,5,2,7,8,6,3,4]=>[2,7,4,8,6,1,3,5]
[1,6,7,5,2,8,3,4]=>[7,2,8,5,4,1,3,6]
[6,1,7,5,2,8,3,4]=>[7,8,5,4,2,1,3,6]
[2,6,7,5,1,8,3,4]=>[7,2,8,5,1,4,3,6]
[5,7,2,8,6,1,3,4]=>[6,1,7,8,3,2,5,4]
[3,5,7,8,6,2,1,4]=>[7,2,6,1,3,8,5,4]
[5,1,7,8,6,3,4,2]=>[1,6,3,8,7,5,2,4]
[5,1,3,7,8,6,4,2]=>[4,1,8,7,3,6,2,5]
[5,2,7,8,4,6,1,3]=>[1,7,5,3,8,2,6,4]
[3,2,5,7,8,6,1,4]=>[7,1,3,4,8,2,6,5]
[6,2,7,5,1,8,3,4]=>[7,8,5,2,1,4,3,6]
[1,2,6,7,5,8,3,4]=>[3,7,5,4,8,1,2,6]
[6,2,7,5,4,1,8,3]=>[8,6,5,2,1,4,3,7]
[6,7,5,2,4,1,8,3]=>[8,4,1,6,5,3,2,7]
[6,7,2,5,3,8,1,4]=>[5,7,3,1,4,2,8,6]
[6,7,4,5,2,1,8,3]=>[5,3,1,8,6,4,2,7]
[5,1,7,8,6,4,3,2]=>[1,3,8,7,6,5,2,4]
[2,5,7,8,6,3,1,4]=>[7,2,6,3,8,1,5,4]
[5,1,7,8,6,3,2,4]=>[1,7,6,3,8,5,2,4]
[6,3,7,5,1,8,2,4]=>[7,8,2,1,5,4,3,6]
[1,6,7,5,3,8,2,4]=>[5,2,7,4,3,8,1,6]
[1,6,7,5,4,2,8,3]=>[2,8,6,5,4,1,3,7]
[6,7,5,1,4,2,8,3]=>[8,6,4,1,5,3,2,7]
[5,7,8,6,4,1,2,3]=>[1,6,7,2,8,5,4,3]
[4,1,7,2,6,5,8,3]=>[1,6,5,8,4,2,3,7]
[2,4,7,1,5,6,8,3]=>[2,5,6,8,1,4,3,7]
[6,7,4,1,5,2,8,3]=>[8,6,4,3,1,5,2,7]
[1,6,7,4,5,2,8,3]=>[4,2,8,6,5,1,3,7]
[1,6,3,7,5,8,2,4]=>[7,5,3,2,4,8,1,6]
[6,3,1,7,5,8,2,4]=>[7,2,5,4,1,8,3,6]
[2,5,3,7,8,6,1,4]=>[2,7,4,8,1,3,6,5]
[6,7,5,4,2,1,8,3]=>[5,1,8,6,4,3,2,7]
[6,3,2,7,5,8,1,4]=>[7,2,5,3,1,4,8,6]
[6,7,4,2,5,1,8,3]=>[8,4,3,1,6,5,2,7]
[6,2,7,4,5,1,8,3]=>[4,8,6,2,1,5,3,7]
[6,2,3,7,5,8,1,4]=>[7,5,2,3,1,4,8,6]
[4,5,1,6,3,2,8,7]=>[1,5,4,2,8,3,6,7]
[7,5,1,6,3,8,2,4]=>[5,7,4,2,8,3,1,6]
[7,5,1,6,3,8,4,2]=>[8,5,4,2,7,3,1,6]
[2,7,6,1,3,8,4,5]=>[7,8,4,5,1,3,2,6]
[2,7,6,1,3,8,5,4]=>[8,7,4,5,1,3,2,6]
[7,3,5,1,8,2,6,4]=>[8,2,6,3,7,4,1,5]
[7,3,5,1,8,2,4,6]=>[2,6,7,3,8,4,1,5]
[3,7,5,1,8,6,2,4]=>[7,3,8,1,6,4,2,5]
[2,6,7,1,5,8,3,4]=>[7,5,2,8,1,4,3,6]
[2,6,7,4,1,8,3,5]=>[7,4,2,8,1,5,3,6]
[2,1,6,7,3,8,5,4]=>[3,8,7,1,5,2,4,6]
[2,6,7,4,1,8,5,3]=>[4,2,8,7,1,5,3,6]
[2,6,7,1,5,8,4,3]=>[5,2,8,7,1,4,3,6]
[3,6,5,1,8,4,7,2]=>[6,3,1,2,8,7,4,5]
[3,6,5,1,8,4,2,7]=>[7,6,1,3,2,8,4,5]
[3,7,5,4,8,1,6,2]=>[4,3,8,1,6,2,7,5]
[3,7,5,4,8,1,2,6]=>[6,4,1,3,7,2,8,5]
[4,6,1,5,8,7,3,2]=>[8,1,4,2,7,6,3,5]
[4,6,1,5,8,7,2,3]=>[1,4,7,2,8,6,3,5]
[4,6,1,5,8,2,7,3]=>[1,4,8,6,2,7,3,5]
[7,5,1,6,2,8,3,4]=>[7,8,5,3,2,4,1,6]
[7,5,1,6,2,8,4,3]=>[8,7,5,3,2,4,1,6]
[4,6,1,5,8,2,3,7]=>[1,6,4,7,2,8,3,5]
[4,7,1,5,8,3,6,2]=>[1,4,6,8,7,3,2,5]
[2,3,4,7,8,1,6,5]=>[8,6,1,2,3,4,7,5]
[6,8,5,4,3,2,7,1]=>[1,6,5,4,3,8,7,2]
[6,8,5,4,3,7,2,1]=>[1,5,4,3,8,7,6,2]
[5,8,4,3,2,1,7,6]=>[1,5,4,3,8,6,7,2]
[6,5,4,3,1,8,7,2]=>[4,3,2,1,8,7,5,6]
[8,7,5,4,3,1,6,2]=>[8,6,5,4,3,7,2,1]
[8,3,4,6,2,1,5,7]=>[2,3,6,5,7,4,8,1]
[3,5,6,2,1,8,4,7]=>[4,1,2,7,3,8,5,6]
[3,5,2,6,8,4,1,7]=>[4,1,2,7,3,6,8,5]
[7,5,3,2,8,4,1,6]=>[3,7,4,2,6,1,8,5]
[7,5,3,2,8,4,6,1]=>[3,6,2,8,4,1,7,5]
[2,4,5,7,3,8,6,1]=>[8,2,3,5,1,4,7,6]
[4,2,5,6,8,3,1,7]=>[3,1,4,7,2,6,8,5]
[4,2,8,1,5,6,3,7]=>[5,1,7,2,4,6,8,3]
[2,5,6,1,8,4,3,7]=>[2,7,6,1,3,8,4,5]
[5,3,6,8,1,4,2,7]=>[7,2,1,5,3,6,8,4]
[4,5,6,8,1,3,2,7]=>[1,2,7,5,3,6,8,4]
[1,4,5,6,8,3,2,7]=>[2,3,4,7,6,8,1,5]
[4,5,6,3,8,2,1,7]=>[1,2,4,3,7,6,8,5]
[4,5,3,7,2,8,6,1]=>[1,2,8,3,5,4,7,6]
[6,4,7,3,2,8,5,1]=>[2,4,1,8,5,3,7,6]
[6,1,4,7,3,2,8,5]=>[3,5,8,6,2,1,4,7]
[1,7,8,4,5,3,2,6]=>[4,7,6,5,2,8,1,3]
[5,1,7,3,8,4,2,6]=>[7,4,1,6,3,8,2,5]
[2,5,1,7,4,3,8,6]=>[5,2,8,1,6,3,4,7]
[2,5,7,4,1,8,6,3]=>[2,4,8,7,1,5,3,6]
[5,3,7,1,4,8,6,2]=>[8,2,1,5,7,4,3,6]
[6,4,3,1,7,8,5,2]=>[3,2,5,1,8,7,4,6]
[6,4,1,7,3,8,5,2]=>[2,8,5,4,1,7,3,6]
[5,6,3,7,8,4,2,1]=>[1,4,2,8,3,7,6,5]
[5,1,6,3,7,8,4,2]=>[5,3,1,8,4,7,2,6]
[5,6,1,3,7,8,4,2]=>[5,1,8,4,2,7,3,6]
[5,6,1,7,8,3,4,2]=>[1,6,4,2,8,7,3,5]
[1,6,3,7,4,8,5,2]=>[8,5,3,2,4,7,1,6]
[6,7,2,4,1,8,5,3]=>[4,8,3,1,7,5,2,6]
[6,7,2,1,4,3,8,5]=>[3,5,8,4,1,6,2,7]
[6,4,7,3,1,2,8,5]=>[2,8,5,4,1,6,3,7]
[5,6,3,1,2,7,8,4]=>[6,3,1,8,4,2,5,7]
[5,6,1,3,2,7,8,4]=>[4,6,1,8,3,2,5,7]
[5,6,3,2,1,7,8,4]=>[4,3,1,6,2,8,5,7]
[2,5,6,3,7,8,4,1]=>[2,5,3,8,1,4,7,6]
[2,5,6,3,1,7,8,4]=>[4,2,6,1,3,8,5,7]
[2,6,4,7,3,1,8,5]=>[3,5,2,8,1,6,4,7]
[6,3,7,2,8,4,5,1]=>[6,8,2,1,4,3,7,5]
[6,3,7,2,8,4,1,5]=>[7,2,4,1,6,3,8,5]
[6,3,2,7,1,8,4,5]=>[2,7,8,3,1,5,4,6]
[7,5,3,2,1,8,4,6]=>[4,3,7,2,8,5,1,6]
[7,3,8,4,2,1,5,6]=>[6,2,5,4,7,1,8,3]
[4,7,2,1,3,8,6,5]=>[1,8,3,7,4,5,2,6]
[1,3,7,8,6,4,2,5]=>[7,6,3,8,2,5,1,4]
[7,3,8,4,6,2,1,5]=>[4,7,2,6,1,8,5,3]
[5,7,3,8,2,1,6,4]=>[3,1,5,8,6,2,7,4]
[6,3,7,8,5,2,1,4]=>[7,6,2,1,3,8,5,4]
[4,6,2,7,8,5,3,1]=>[4,1,2,8,7,3,6,5]
[4,6,2,1,7,8,5,3]=>[1,5,8,3,2,7,4,6]
[7,4,5,8,1,2,6,3]=>[2,8,5,3,6,1,7,4]
[2,5,1,7,3,8,6,4]=>[2,8,7,1,5,3,4,6]
[6,7,2,1,3,8,5,4]=>[8,3,7,4,1,5,2,6]
[5,1,6,7,8,2,4,3]=>[3,1,8,6,4,7,2,5]
[6,3,7,1,8,5,2,4]=>[7,8,2,1,6,4,3,5]
[6,2,1,7,3,8,5,4]=>[8,7,2,5,3,1,4,6]
[6,2,7,1,8,5,4,3]=>[8,7,6,2,1,4,3,5]
[6,3,1,7,8,5,4,2]=>[4,8,2,1,7,6,3,5]
[4,1,3,6,8,2,5,7]=>[6,3,1,4,7,8,2,5]
[4,2,3,6,8,1,5,7]=>[6,2,1,3,4,7,8,5]
[5,3,2,1,8,4,7,6]=>[2,8,3,1,6,7,4,5]
[3,6,5,8,2,1,7,4]=>[5,3,1,2,8,6,7,4]
[4,5,2,1,3,8,7,6]=>[1,8,3,2,7,4,5,6]
[3,2,6,4,5,8,1,7]=>[1,4,5,2,3,7,8,6]
[2,4,6,5,8,1,3,7]=>[6,2,4,1,3,7,8,5]
[1,6,2,4,5,8,3,7]=>[4,5,7,2,8,1,3,6]
[5,3,2,1,6,8,4,7]=>[3,2,5,1,7,8,4,6]
[6,2,4,5,8,1,3,7]=>[3,6,2,4,1,7,8,5]
[1,3,4,6,5,8,2,7]=>[5,2,3,4,7,8,1,6]
[1,6,3,4,5,8,2,7]=>[3,4,5,2,7,8,1,6]
[3,4,1,8,5,2,7,6]=>[1,2,5,8,6,7,3,4]
[2,8,4,1,7,6,3,5]=>[3,7,8,6,1,4,5,2]
[8,1,4,2,7,3,6,5]=>[3,8,6,7,2,4,5,1]
[1,5,3,2,8,7,4,6]=>[7,2,8,3,6,1,4,5]
[8,2,1,7,5,3,4,6]=>[6,7,2,5,8,3,4,1]
[1,7,6,4,5,8,3,2]=>[4,5,3,2,8,7,1,6]
[5,8,7,4,1,2,6,3]=>[1,8,5,6,4,7,3,2]
[5,8,7,4,6,2,1,3]=>[7,1,6,4,8,5,3,2]
[3,4,2,5,8,6,7,1]=>[1,2,6,8,3,4,7,5]
[4,1,3,5,6,8,7,2]=>[8,3,1,4,5,7,2,6]
[2,4,8,6,7,1,3,5]=>[6,7,2,4,8,1,5,3]
[4,3,6,2,8,1,7,5]=>[1,8,2,4,3,6,7,5]
[3,7,4,8,2,1,6,5]=>[3,5,8,1,6,2,7,4]
[2,3,5,8,6,7,1,4]=>[7,3,5,8,1,2,6,4]
[3,2,5,6,8,7,1,4]=>[1,3,4,7,8,2,6,5]
[2,1,8,5,6,7,3,4]=>[4,7,5,8,1,6,2,3]
[1,2,8,3,5,6,7,4]=>[5,6,8,4,7,1,2,3]
[4,2,3,7,1,8,6,5]=>[1,8,7,2,3,5,4,6]
[3,2,6,4,8,1,7,5]=>[8,1,4,2,3,6,7,5]
[8,2,1,6,7,3,4,5]=>[6,7,2,4,8,3,5,1]
[2,7,8,5,4,1,3,6]=>[6,7,5,4,1,2,8,3]
[1,7,5,3,8,4,2,6]=>[7,4,3,6,2,8,1,5]
[4,7,5,3,1,2,8,6]=>[8,1,5,4,3,6,2,7]
[7,2,4,8,5,3,1,6]=>[7,3,6,2,5,1,8,4]
[4,8,3,1,2,7,6,5]=>[1,3,8,7,4,5,6,2]
[3,5,2,7,4,1,8,6]=>[5,1,2,8,3,6,4,7]
[8,4,2,3,7,1,5,6]=>[3,4,2,6,7,8,5,1]
[2,8,4,7,1,3,5,6]=>[5,3,6,7,8,1,4,2]
[8,2,4,6,7,1,3,5]=>[3,6,7,2,4,8,5,1]
[4,8,2,3,6,7,1,5]=>[1,7,3,4,5,8,6,2]
[3,5,2,7,6,1,8,4]=>[2,8,1,6,3,5,4,7]
[1,6,3,2,5,8,7,4]=>[8,3,5,2,7,1,4,6]
[5,8,3,2,1,6,7,4]=>[4,3,1,6,8,5,7,2]
[5,8,7,3,4,6,2,1]=>[1,4,5,8,7,6,3,2]
[5,8,2,7,4,1,6,3]=>[1,8,6,3,5,7,4,2]
[5,1,4,2,8,7,6,3]=>[8,3,1,7,6,2,4,5]
[4,7,6,5,8,2,1,3]=>[7,6,1,4,3,2,8,5]
[5,3,7,1,6,2,8,4]=>[8,2,1,6,4,5,3,7]
[5,2,6,8,7,1,3,4]=>[6,3,1,7,8,2,5,4]
[6,3,2,1,8,5,7,4]=>[2,6,8,3,1,7,4,5]
[2,7,5,4,1,8,6,3]=>[4,3,8,7,1,5,2,6]
[4,2,5,6,8,7,1,3]=>[3,1,4,7,8,2,6,5]
[1,8,4,2,5,6,7,3]=>[5,3,6,8,4,7,1,2]
[3,8,4,1,5,6,7,2]=>[5,1,3,6,8,4,7,2]
[4,2,8,5,6,7,1,3]=>[1,4,7,5,8,2,6,3]
[5,2,4,7,1,8,6,3]=>[8,3,1,7,2,5,4,6]
[5,3,4,7,1,8,6,2]=>[8,2,1,3,7,5,4,6]
[8,6,4,1,3,2,5,7]=>[6,4,5,3,7,2,8,1]
[8,1,3,6,5,2,4,7]=>[6,7,3,5,2,4,8,1]
[8,1,4,3,6,5,2,7]=>[3,7,4,6,2,5,8,1]
[3,6,5,2,1,8,7,4]=>[8,4,1,3,2,7,5,6]
[8,3,2,4,6,5,1,7]=>[2,7,3,4,6,5,8,1]
[8,4,2,1,6,5,3,7]=>[7,3,2,6,4,5,8,1]
[8,4,1,2,6,5,3,7]=>[7,6,3,2,4,5,8,1]
[8,6,4,2,1,5,3,7]=>[4,7,5,3,6,2,8,1]
[8,3,6,4,1,5,2,7]=>[7,2,5,4,6,3,8,1]
[8,2,6,3,4,5,1,7]=>[4,5,7,2,6,3,8,1]
[1,3,4,8,5,7,2,6]=>[5,7,8,2,3,6,1,4]
[5,8,4,7,6,2,3,1]=>[1,3,6,8,7,5,4,2]
[1,3,4,7,5,8,2,6]=>[5,7,2,3,4,8,1,6]
[1,3,5,2,4,8,7,6]=>[3,8,2,7,1,4,5,6]
[2,6,5,1,3,8,7,4]=>[8,7,4,1,3,2,5,6]
[4,7,1,6,5,8,3,2]=>[5,1,4,8,7,3,2,6]
[5,4,8,7,6,3,1,2]=>[1,7,8,2,6,5,4,3]
[2,8,5,1,4,7,6,3]=>[8,5,3,7,1,4,6,2]
[4,3,1,5,8,6,7,2]=>[2,1,6,8,4,7,3,5]
[4,1,3,5,8,6,7,2]=>[6,1,8,3,4,7,2,5]
[6,5,3,8,4,7,1,2]=>[7,3,2,1,5,8,6,4]
[5,4,2,1,6,8,7,3]=>[8,3,2,1,5,7,4,6]
[6,8,4,3,2,7,1,5]=>[5,4,3,1,7,8,6,2]
[3,4,7,8,2,1,6,5]=>[5,8,1,2,6,3,7,4]
[5,1,3,2,8,6,7,4]=>[6,8,3,1,7,2,4,5]
[5,3,1,2,8,6,7,4]=>[2,6,1,8,7,3,4,5]
[5,2,3,1,6,8,7,4]=>[8,2,3,1,5,7,4,6]
[5,3,2,1,8,6,7,4]=>[2,6,1,8,3,7,4,5]
[5,2,1,3,6,8,7,4]=>[8,2,5,1,7,3,4,6]
[2,4,7,3,8,1,6,5]=>[8,2,4,6,1,3,7,5]
[6,3,8,2,7,4,1,5]=>[7,2,4,1,6,8,5,3]
[8,2,1,3,6,4,7,5]=>[8,2,6,3,4,5,7,1]
[3,5,1,7,8,4,2,6]=>[2,7,1,6,4,8,3,5]
[2,7,4,5,8,3,1,6]=>[3,4,7,6,1,2,8,5]
[1,8,4,3,7,2,6,5]=>[3,8,4,6,7,5,1,2]
[3,4,8,7,2,1,6,5]=>[5,8,1,2,6,7,4,3]
[5,4,7,8,3,6,2,1]=>[1,5,2,3,8,7,6,4]
[6,4,3,8,7,2,1,5]=>[2,7,3,1,6,8,5,4]
[6,3,8,7,4,1,2,5]=>[6,7,2,1,5,8,4,3]
[3,5,7,2,4,8,1,6]=>[4,1,2,5,7,3,8,6]
[8,4,7,2,3,1,5,6]=>[4,2,6,5,7,8,3,1]
[8,4,7,1,3,2,5,6]=>[6,4,2,5,7,8,3,1]
[8,4,7,2,1,3,5,6]=>[5,4,2,6,7,8,3,1]
[8,6,4,2,1,3,7,5]=>[4,8,5,3,6,2,7,1]
[8,6,4,1,3,2,7,5]=>[5,8,4,3,6,2,7,1]
[8,6,4,2,3,1,7,5]=>[4,5,3,8,6,2,7,1]
[3,5,7,2,6,1,8,4]=>[2,8,1,4,6,5,3,7]
[6,1,3,8,5,7,2,4]=>[7,5,8,3,1,6,2,4]
[5,8,3,2,6,7,1,4]=>[3,1,7,4,5,8,6,2]
[4,8,5,3,6,2,7,1]=>[4,1,3,6,5,8,7,2]
[2,8,1,5,4,7,6,3]=>[4,8,5,7,1,3,6,2]
[1,5,8,7,4,6,2,3]=>[7,2,5,8,6,4,1,3]
[2,1,7,6,4,5,8,3]=>[5,6,4,1,3,8,2,7]
[1,7,2,4,6,5,8,3]=>[6,4,5,8,3,1,2,7]
[3,5,1,7,6,8,2,4]=>[2,7,1,5,4,8,3,6]
[5,8,2,6,1,3,7,4]=>[8,3,1,5,6,4,7,2]
[6,3,5,8,7,2,1,4]=>[3,7,2,1,6,8,5,4]
[2,5,7,8,4,1,6,3]=>[8,2,6,5,1,3,7,4]
[4,2,8,1,5,6,7,3]=>[5,1,6,8,2,4,7,3]
[4,1,5,2,6,8,7,3]=>[3,1,8,5,7,2,4,6]
[3,4,5,1,6,8,7,2]=>[1,2,3,8,5,7,4,6]
[4,2,8,5,1,6,7,3]=>[1,6,4,8,2,5,7,3]
[4,1,8,5,2,6,7,3]=>[1,6,4,8,5,7,2,3]
[2,7,1,8,5,4,6,3]=>[6,5,8,7,1,3,2,4]
[5,8,6,2,1,3,7,4]=>[4,1,8,5,6,3,7,2]
[8,2,4,1,5,6,7,3]=>[5,2,3,6,8,4,7,1]
[4,6,3,5,8,1,7,2]=>[1,3,4,2,8,6,7,5]
[1,7,8,3,5,4,6,2]=>[6,4,5,2,8,7,1,3]
[3,4,5,1,8,6,7,2]=>[1,2,3,6,8,7,4,5]
[3,8,1,4,5,6,7,2]=>[1,4,5,6,8,3,7,2]
[3,4,5,6,8,2,1,7]=>[1,2,3,4,7,6,8,5]
[3,4,5,7,1,8,6,2]=>[8,1,2,3,7,5,4,6]
[3,4,5,7,8,2,6,1]=>[6,1,2,3,4,8,7,5]
[3,4,6,2,8,5,1,7]=>[7,1,2,4,3,6,8,5]
[3,4,6,8,1,5,2,7]=>[7,1,2,5,3,6,8,4]
[3,4,7,2,1,8,6,5]=>[8,1,2,4,7,5,3,6]
[3,4,7,8,1,5,6,2]=>[6,8,1,2,5,3,7,4]
[3,4,8,2,1,5,6,7]=>[1,2,5,4,6,7,8,3]
[3,5,2,6,7,8,1,4]=>[4,1,2,7,3,5,8,6]
[3,5,2,7,8,4,6,1]=>[2,6,1,4,8,3,7,5]
[3,5,2,8,4,1,6,7]=>[6,1,3,2,5,7,8,4]
[3,5,6,2,8,4,1,7]=>[2,7,1,4,3,6,8,5]
[3,5,6,8,4,1,2,7]=>[2,6,1,3,7,5,8,4]
[3,5,7,2,4,8,6,1]=>[2,8,1,4,5,3,7,6]
[3,5,7,2,8,4,6,1]=>[2,6,8,1,4,3,7,5]
[3,5,7,8,4,1,6,2]=>[8,2,6,1,5,3,7,4]
[3,6,2,1,7,8,5,4]=>[5,8,1,3,2,7,4,6]
[3,6,2,1,8,5,4,7]=>[7,1,3,6,2,8,4,5]
[3,6,7,2,4,8,5,1]=>[8,4,1,2,5,3,7,6]
[3,6,7,2,8,5,4,1]=>[2,8,7,1,4,3,6,5]
[3,6,7,8,4,5,1,2]=>[2,7,5,1,3,8,6,4]
[3,6,8,2,4,5,1,7]=>[4,5,1,2,7,6,8,3]
[3,7,2,1,4,8,6,5]=>[8,1,3,7,4,5,2,6]
[3,7,2,1,8,5,6,4]=>[6,8,1,3,7,4,2,5]
[3,7,2,8,4,5,6,1]=>[5,6,8,1,3,2,7,4]
[3,7,8,2,4,5,6,1]=>[4,5,6,1,2,8,7,3]
[3,8,2,1,4,5,6,7]=>[1,4,3,5,6,7,8,2]
[4,1,5,6,7,8,3,2]=>[3,1,4,5,8,7,2,6]
[4,1,5,7,3,8,6,2]=>[1,8,3,5,4,7,2,6]
[4,1,6,3,7,8,5,2]=>[1,5,3,8,4,7,2,6]
[4,1,6,3,8,5,2,7]=>[1,7,4,3,6,8,2,5]
[4,1,6,7,3,8,5,2]=>[1,3,8,5,4,7,2,6]
[4,1,6,7,8,5,2,3]=>[1,3,7,4,8,6,2,5]
[4,1,6,8,3,5,2,7]=>[1,5,3,7,6,8,2,4]
[4,1,7,3,2,8,6,5]=>[1,8,4,7,5,2,3,6]
[4,1,7,8,3,5,6,2]=>[1,5,6,3,8,7,2,4]
[4,1,8,3,2,5,6,7]=>[5,4,1,6,7,8,2,3]
[4,5,2,6,7,8,3,1]=>[1,4,2,5,8,3,7,6]
[4,5,2,6,8,1,3,7]=>[1,6,3,2,4,7,8,5]
[4,5,6,3,8,1,2,7]=>[1,2,6,4,3,7,8,5]
[4,5,6,8,3,1,2,7]=>[1,2,6,3,7,5,8,4]
[4,5,7,3,8,1,6,2]=>[1,2,4,8,6,3,7,5]
[4,5,8,3,2,1,6,7]=>[1,2,6,5,4,7,8,3]
[4,6,2,3,7,8,5,1]=>[1,5,8,3,2,4,7,6]
[4,6,2,3,8,5,1,7]=>[1,7,3,4,2,6,8,5]
[4,6,2,7,3,8,5,1]=>[8,1,5,3,2,4,7,6]
[4,6,2,7,8,5,1,3]=>[7,1,4,2,8,3,6,5]
[4,6,7,3,2,8,5,1]=>[4,1,2,8,5,3,7,6]
[4,6,8,3,2,5,1,7]=>[5,1,4,2,7,6,8,3]
[4,7,2,3,1,8,6,5]=>[1,8,3,4,7,5,2,6]
[4,7,2,8,3,5,6,1]=>[1,5,6,8,3,2,7,4]
[4,7,8,3,2,5,6,1]=>[5,1,4,6,2,8,7,3]
[4,8,2,3,1,5,6,7]=>[3,1,5,4,6,7,8,2]
[5,1,2,6,8,4,3,7]=>[4,7,6,1,8,2,3,5]
[5,1,2,7,4,8,6,3]=>[8,5,4,1,7,2,3,6]
[5,1,2,7,8,4,6,3]=>[6,4,1,8,7,2,3,5]
[5,1,2,8,4,3,6,7]=>[6,5,7,1,8,2,3,4]
[5,1,6,3,8,4,2,7]=>[7,4,3,1,6,8,2,5]
[5,1,6,7,4,8,2,3]=>[3,1,7,5,4,8,2,6]
[5,1,6,7,8,4,2,3]=>[3,1,7,4,8,6,2,5]
[5,1,8,3,4,2,6,7]=>[4,6,5,1,7,8,2,3]
[5,6,2,3,8,4,1,7]=>[7,3,1,4,2,6,8,5]
[5,6,2,7,8,4,1,3]=>[1,7,4,2,8,3,6,5]
[5,6,8,3,4,2,1,7]=>[1,4,2,7,6,5,8,3]
[5,7,2,3,4,8,6,1]=>[8,3,1,4,5,2,7,6]
[5,7,2,3,8,4,6,1]=>[6,1,8,3,4,2,7,5]
[5,7,8,3,4,2,6,1]=>[1,4,6,5,2,8,7,3]
[5,8,2,3,4,1,6,7]=>[3,4,1,6,5,7,8,2]
[6,1,2,3,7,8,5,4]=>[5,8,7,2,3,1,4,6]
[6,1,2,3,8,5,4,7]=>[7,6,8,2,3,1,4,5]
[6,1,2,7,8,5,4,3]=>[4,8,7,6,2,1,3,5]
[6,1,2,8,4,5,3,7]=>[5,7,6,8,2,1,3,4]
[6,1,7,3,4,8,5,2]=>[8,4,5,3,1,7,2,6]
[6,1,7,3,8,5,4,2]=>[8,7,4,3,1,6,2,5]
[6,1,7,8,4,5,3,2]=>[5,3,1,8,7,6,2,4]
[6,1,8,3,4,5,2,7]=>[4,5,7,6,1,8,2,3]
[6,7,2,3,8,5,4,1]=>[8,7,3,1,4,2,6,5]
[6,7,2,8,4,5,3,1]=>[5,1,8,7,3,2,6,4]
[6,8,2,3,4,5,1,7]=>[3,4,5,1,7,6,8,2]
[7,1,2,3,4,8,6,5]=>[8,7,2,3,4,5,1,6]
[7,1,2,8,4,5,6,3]=>[5,6,8,7,2,3,1,4]
[7,1,8,3,4,5,6,2]=>[4,5,6,8,7,2,1,3]
[6,4,1,8,2,3,7,5]=>[8,5,2,6,1,7,3,4]
[5,8,1,2,4,3,7,6]=>[5,8,3,1,4,6,7,2]
[1,3,5,7,2,6,4,8]=>[3,7,2,5,6,1,4,8]
[3,5,8,6,1,2,4,7]=>[5,1,2,6,7,4,8,3]
[3,1,6,8,2,4,7,5]=>[8,1,5,3,6,7,2,4]
[3,6,2,8,1,5,7,4]=>[6,8,1,3,2,5,7,4]
[2,6,1,3,8,4,7,5]=>[8,6,7,1,3,2,4,5]
[1,7,5,2,3,4,6,8]=>[4,5,6,3,7,1,2,8]
[2,7,5,1,3,8,4,6]=>[7,8,4,1,3,5,2,6]
[8,2,5,7,4,6,1,3]=>[3,7,5,8,2,6,4,1]
[8,2,1,3,7,6,4,5]=>[7,8,2,6,3,4,5,1]
[8,2,5,1,3,7,4,6]=>[7,8,2,4,3,5,6,1]
[8,2,7,5,3,1,6,4]=>[5,8,6,2,4,7,3,1]
[8,2,6,5,4,7,1,3]=>[7,5,4,2,3,8,6,1]
[7,6,5,2,4,8,1,3]=>[7,4,5,3,2,1,8,6]
[7,8,2,5,3,1,6,4]=>[5,8,3,6,4,1,7,2]
[7,1,8,6,3,2,4,5]=>[6,5,7,8,4,2,1,3]
[6,8,1,5,3,2,4,7]=>[6,5,7,3,1,4,8,2]
[1,6,7,5,3,2,4,8]=>[6,5,2,7,4,1,3,8]
[6,5,1,2,4,8,3,7]=>[5,7,8,3,2,1,4,6]
[7,8,1,6,4,2,3,5]=>[6,7,5,8,3,1,4,2]
[8,4,1,2,5,6,3,7]=>[5,7,3,2,4,6,8,1]
[1,7,3,6,5,2,4,8]=>[6,7,3,5,4,1,2,8]
[8,1,3,7,2,6,4,5]=>[7,8,3,5,6,2,4,1]
[7,3,2,6,5,1,8,4]=>[8,2,6,3,5,4,1,7]
[7,8,4,2,5,6,1,3]=>[7,4,3,5,1,8,6,2]
[8,2,7,4,5,6,1,3]=>[4,7,5,8,2,6,3,1]
[8,2,3,6,5,1,7,4]=>[8,6,2,3,5,4,7,1]
[4,8,6,5,7,3,2,1]=>[4,3,8,1,7,6,5,2]
[3,8,7,5,4,6,2,1]=>[5,4,8,7,1,6,3,2]
[4,8,5,6,7,3,2,1]=>[3,4,8,1,7,6,5,2]
[2,8,7,6,4,3,5,1]=>[6,5,8,7,4,1,3,2]
[3,8,7,4,5,6,2,1]=>[4,5,8,7,1,6,3,2]
[1,8,7,6,5,3,2,4]=>[7,6,8,5,4,3,1,2]
[2,8,7,6,3,4,5,1]=>[5,6,8,7,4,1,3,2]
[1,8,7,6,5,2,3,4]=>[6,7,8,5,4,3,1,2]
[7,2,8,6,5,4,1,3]=>[7,8,6,5,2,1,4,3]
[7,2,8,5,4,6,1,3]=>[7,5,4,8,2,1,6,3]
[6,3,2,8,5,1,7,4]=>[8,2,6,3,1,5,7,4]
[8,4,7,2,5,6,3,1]=>[2,5,8,4,7,6,3,1]
[6,8,5,4,3,1,7,2]=>[1,8,6,5,4,3,7,2]
[5,8,6,4,1,3,7,2]=>[1,6,8,5,4,3,7,2]
[4,8,6,1,5,3,7,2]=>[6,1,5,8,4,3,7,2]
[3,6,1,8,5,2,7,4]=>[8,6,1,5,2,7,3,4]
[3,4,1,2,8,6,7,5]=>[1,2,6,8,7,3,4,5]
[6,8,3,5,4,1,7,2]=>[8,3,1,6,5,4,7,2]
[7,2,5,8,3,6,1,4]=>[5,3,7,8,2,1,6,4]
[1,7,5,6,3,4,2,8]=>[5,3,7,6,4,1,2,8]
[7,2,6,8,5,3,1,4]=>[7,6,3,8,2,1,5,4]
[7,6,3,8,5,2,1,4]=>[7,3,6,2,1,8,5,4]
[7,2,6,4,8,3,1,5]=>[4,7,6,2,3,1,8,5]
[1,5,7,4,2,6,3,8]=>[2,7,5,4,6,1,3,8]
[4,2,3,1,7,8,5,6]=>[7,2,1,3,5,8,4,6]
[5,2,8,4,1,7,6,3]=>[4,1,8,7,2,5,6,3]
[8,6,3,4,7,2,5,1]=>[3,4,6,2,8,7,5,1]
[6,8,3,4,5,1,7,2]=>[3,4,1,8,6,5,7,2]
[1,6,3,2,5,8,4,7]=>[3,5,7,2,8,1,4,6]
[8,3,2,1,5,4,7,6]=>[3,2,5,8,4,6,7,1]
[6,3,7,1,5,8,4,2]=>[5,8,2,1,7,4,3,6]
[2,5,1,8,4,3,7,6]=>[5,2,8,1,6,7,3,4]
[6,2,5,4,8,1,3,7]=>[6,4,2,3,1,7,8,5]
[4,3,1,6,5,8,2,7]=>[2,1,5,4,7,8,3,6]
[1,3,5,4,6,8,2,7]=>[4,2,3,5,7,8,1,6]
[6,1,3,4,5,8,2,7]=>[3,4,5,7,1,8,2,6]
[8,3,4,1,5,2,7,6]=>[2,5,3,8,4,6,7,1]
[7,5,4,2,6,8,3,1]=>[5,3,2,8,4,1,7,6]
[8,2,6,4,1,7,3,5]=>[7,4,8,2,5,3,6,1]
[7,3,8,4,5,2,1,6]=>[4,7,2,6,5,1,8,3]
[7,2,5,1,8,4,3,6]=>[7,6,2,3,8,4,1,5]
[1,7,3,2,5,4,8,6]=>[3,5,8,4,6,1,2,7]
[8,7,2,1,5,3,4,6]=>[3,6,7,4,5,8,2,1]
[3,6,1,5,8,7,4,2]=>[8,4,1,2,7,6,3,5]
[8,3,6,4,5,1,7,2]=>[4,8,2,6,5,3,7,1]
[5,4,6,8,1,2,7,3]=>[2,1,8,5,3,6,7,4]
[6,4,7,2,3,5,8,1]=>[4,2,5,1,6,3,8,7]
[6,8,4,1,3,5,7,2]=>[5,6,3,1,8,4,7,2]
[3,4,7,8,6,2,5,1]=>[6,3,8,1,2,7,5,4]
[4,1,3,5,7,8,6,2]=>[5,1,8,3,4,7,2,6]
[6,5,1,8,4,7,3,2]=>[5,2,1,8,7,6,3,4]
[5,3,1,8,4,7,6,2]=>[8,2,1,5,7,6,3,4]
[8,2,7,4,6,1,3,5]=>[6,4,7,8,2,5,3,1]
[4,7,3,2,8,1,6,5]=>[1,3,8,4,6,2,7,5]
[6,3,1,4,7,2,8,5]=>[2,8,4,6,3,1,5,7]
[8,7,3,6,1,5,2,4]=>[3,7,8,5,6,4,2,1]
[7,4,3,6,8,2,5,1]=>[2,6,3,4,1,8,7,5]
[2,4,7,3,8,5,6,1]=>[6,8,2,4,1,3,7,5]
[2,8,6,1,5,7,3,4]=>[7,5,8,4,1,3,6,2]
[7,8,2,5,4,3,1,6]=>[7,6,3,5,4,1,8,2]
[1,8,3,4,2,7,6,5]=>[8,3,4,7,5,6,1,2]
[8,5,3,7,4,2,6,1]=>[6,3,2,5,8,7,4,1]
[5,7,3,2,4,1,8,6]=>[4,3,1,5,8,6,2,7]
[2,8,3,4,7,1,5,6]=>[3,4,6,7,8,1,5,2]
[4,1,3,6,7,8,2,5]=>[4,1,7,3,5,8,2,6]
[1,7,6,3,2,5,8,4]=>[4,6,8,5,3,1,2,7]
[3,8,1,5,6,2,7,4]=>[4,8,1,6,3,5,7,2]
[8,2,5,6,1,7,4,3]=>[3,8,7,2,5,4,6,1]
[7,1,5,2,8,6,4,3]=>[3,8,7,6,2,4,1,5]
[6,5,4,8,7,2,1,3]=>[3,2,1,7,6,8,5,4]
[1,8,6,4,5,2,7,3]=>[4,8,6,5,3,7,1,2]
[1,8,5,3,6,2,7,4]=>[8,4,3,6,5,7,1,2]
[3,6,2,1,7,5,8,4]=>[6,1,3,5,2,8,4,7]
[2,5,4,1,8,7,6,3]=>[2,8,3,7,1,6,4,5]
[4,7,2,6,5,8,1,3]=>[7,1,5,3,4,2,8,6]
[6,8,1,4,2,7,3,5]=>[7,4,8,3,1,5,6,2]
[6,3,4,7,1,8,2,5]=>[2,3,7,1,8,5,4,6]
[3,4,7,8,2,5,6,1]=>[5,6,1,2,3,8,7,4]
[1,8,2,4,5,6,7,3]=>[4,5,6,8,3,7,1,2]
[5,2,4,1,6,8,7,3]=>[3,8,2,1,5,7,4,6]
[3,2,5,7,6,1,8,4]=>[8,1,3,6,2,5,4,7]
[4,3,5,6,1,8,7,2]=>[2,1,3,4,8,7,5,6]
[5,3,4,1,7,6,8,2]=>[2,3,1,6,5,8,4,7]
[3,1,4,6,5,7,8,2]=>[1,5,3,4,6,8,2,7]
[1,4,7,3,5,6,8,2]=>[2,4,5,6,3,8,1,7]
[5,1,3,6,4,8,7,2]=>[4,8,3,1,5,7,2,6]
[1,3,2,7,5,8,6,4]=>[8,5,2,4,7,1,3,6]
[1,4,2,5,8,3,7,6]=>[2,8,4,6,7,1,3,5]
[1,4,2,7,8,5,6,3]=>[6,2,4,8,7,1,3,5]
[5,1,2,6,8,4,7,3]=>[4,6,1,8,7,2,3,5]
[3,1,2,6,5,8,4,7]=>[1,5,4,7,8,2,3,6]
[4,1,2,6,8,5,3,7]=>[4,1,7,6,8,2,3,5]
[1,5,2,4,8,7,6,3]=>[2,8,7,4,6,1,3,5]
[1,2,6,4,8,7,5,3]=>[3,8,7,4,6,1,2,5]
[1,2,7,4,8,6,5,3]=>[8,7,4,3,6,1,2,5]
[1,3,2,7,5,8,4,6]=>[5,7,2,4,8,1,3,6]
[2,3,1,7,5,4,8,6]=>[5,8,1,2,6,3,4,7]
[1,3,2,8,5,7,4,6]=>[5,7,8,2,6,1,3,4]
[1,4,2,5,8,7,3,6]=>[2,7,8,4,6,1,3,5]
[1,5,2,4,8,7,3,6]=>[7,2,8,4,6,1,3,5]
[1,2,6,4,8,7,3,5]=>[7,3,8,4,6,1,2,5]
[1,2,7,8,5,6,3,4]=>[7,5,3,8,6,1,2,4]
[1,2,6,8,5,7,3,4]=>[3,7,5,8,6,1,2,4]
[1,5,6,8,2,7,3,4]=>[2,7,3,8,5,6,1,4]
[1,3,8,2,6,7,4,5]=>[7,5,8,2,4,6,1,3]
[1,4,7,2,8,6,3,5]=>[7,8,2,6,4,1,3,5]
[1,6,7,8,2,5,3,4]=>[7,2,8,5,3,6,1,4]
[1,2,6,8,3,7,5,4]=>[3,8,7,5,6,1,2,4]
[1,5,7,8,2,3,6,4]=>[2,8,5,6,3,7,1,4]
[1,5,2,7,8,4,6,3]=>[2,6,4,8,7,1,3,5]
[1,4,7,2,8,3,6,5]=>[8,2,6,7,4,1,3,5]
[1,3,6,2,4,8,7,5]=>[8,7,2,4,1,3,5,6]
[1,6,7,3,4,8,5,2]=>[8,4,2,5,3,7,1,6]
[1,5,3,7,4,8,6,2]=>[2,8,5,3,4,7,1,6]
[2,8,4,1,5,3,7,6]=>[5,3,8,1,4,6,7,2]
[3,8,4,1,5,7,2,6]=>[5,1,3,7,8,4,6,2]
[1,3,6,4,2,8,7,5]=>[8,4,2,3,7,1,5,6]
[1,3,7,4,2,8,6,5]=>[8,4,7,2,5,1,3,6]
[1,3,8,4,2,7,6,5]=>[8,4,7,2,5,6,1,3]
[1,2,8,4,7,3,6,5]=>[8,4,6,7,5,1,2,3]
[1,2,7,4,8,3,6,5]=>[8,4,6,3,7,1,2,5]
[1,2,6,4,8,3,7,5]=>[8,4,3,6,7,1,2,5]
[1,5,2,4,8,3,7,6]=>[8,4,2,6,7,1,3,5]
[1,8,4,5,7,2,3,6]=>[3,6,4,7,8,5,1,2]
[1,8,3,5,2,7,4,6]=>[7,3,4,8,5,6,1,2]
[2,8,3,5,1,4,7,6]=>[8,3,5,1,4,6,7,2]
[2,3,8,6,1,4,7,5]=>[8,5,6,1,2,4,7,3]
[1,3,8,6,2,7,4,5]=>[7,8,5,2,4,6,1,3]
[1,4,8,6,7,2,3,5]=>[6,7,2,4,8,5,1,3]
[1,5,6,8,7,2,3,4]=>[2,6,3,7,8,5,1,4]
[1,2,6,8,5,3,7,4]=>[3,8,6,5,7,1,2,4]
[1,2,7,8,5,3,6,4]=>[8,6,5,3,7,1,2,4]
[1,2,5,8,7,3,6,4]=>[8,3,6,7,5,1,2,4]
[1,2,6,8,7,3,5,4]=>[3,8,6,7,5,1,2,4]
[1,2,7,8,6,3,5,4]=>[8,6,3,7,5,1,2,4]
[1,6,7,8,5,2,3,4]=>[6,2,7,3,8,5,1,4]
[1,5,7,8,6,2,3,4]=>[2,6,7,3,8,5,1,4]
[1,4,7,6,8,2,3,5]=>[6,7,2,4,3,8,1,5]
[1,3,7,6,2,8,4,5]=>[7,8,5,2,4,1,3,6]
[2,3,8,7,4,1,6,5]=>[5,8,6,7,1,2,4,3]
[1,2,8,4,7,6,3,5]=>[7,8,4,6,5,1,2,3]
[1,2,5,8,7,6,3,4]=>[7,8,3,6,5,1,2,4]
[1,2,6,8,7,5,3,4]=>[3,7,8,6,5,1,2,4]
[1,2,7,8,6,5,3,4]=>[7,3,8,6,5,1,2,4]
[5,6,2,1,7,8,3,4]=>[7,3,1,5,2,8,4,6]
[2,3,7,6,4,5,8,1]=>[5,6,4,1,2,3,8,7]
[2,6,1,7,4,8,3,5]=>[5,7,4,1,2,8,3,6]
[3,6,4,1,7,8,2,5]=>[3,7,1,5,2,8,4,6]
[3,6,4,1,5,8,7,2]=>[3,8,1,5,2,7,4,6]
[2,6,1,4,7,8,5,3]=>[5,8,4,1,2,7,3,6]
[1,2,3,8,5,4,7,6]=>[5,8,6,7,1,2,3,4]
[4,3,1,2,8,5,7,6]=>[2,1,8,6,7,3,4,5]
[2,1,5,3,8,6,4,7]=>[3,7,1,6,8,2,4,5]
[1,2,3,8,5,6,4,7]=>[5,7,6,8,1,2,3,4]
[1,2,3,8,6,4,5,7]=>[6,7,5,8,1,2,3,4]
[1,2,3,8,6,5,4,7]=>[7,6,5,8,1,2,3,4]
[1,2,3,8,5,4,6,7]=>[6,5,7,8,1,2,3,4]
[2,6,1,5,4,8,3,7]=>[5,4,7,1,2,8,3,6]
[5,1,2,4,8,3,7,6]=>[8,4,6,1,7,2,3,5]
[5,6,3,1,4,8,2,7]=>[5,3,1,7,2,8,4,6]
[2,5,4,3,1,8,6,7]=>[4,3,1,2,7,8,5,6]
[3,6,4,5,1,8,7,2]=>[3,4,1,2,8,7,5,6]
[3,6,5,4,1,8,7,2]=>[4,3,1,2,8,7,5,6]
[5,2,6,1,7,8,4,3]=>[5,3,1,8,2,7,4,6]
[5,1,6,2,8,7,3,4]=>[7,3,1,8,6,2,4,5]
[2,1,3,7,8,6,4,5]=>[7,4,8,1,6,2,3,5]
[5,2,4,1,7,8,6,3]=>[3,5,1,8,2,7,4,6]
[4,3,1,2,8,6,7,5]=>[2,1,6,8,7,3,4,5]
[2,1,3,6,8,5,7,4]=>[4,6,8,1,7,2,3,5]
[1,2,3,8,6,7,4,5]=>[7,5,8,6,1,2,3,4]
[1,2,3,8,7,5,4,6]=>[7,6,8,5,1,2,3,4]
[1,2,3,8,7,4,5,6]=>[6,7,8,5,1,2,3,4]
[1,2,3,8,5,7,4,6]=>[5,7,8,6,1,2,3,4]
[5,4,1,2,8,7,6,3]=>[2,1,8,7,6,3,4,5]
[3,1,6,2,8,7,5,4]=>[3,8,1,7,6,2,4,5]
[1,2,8,4,5,3,6,7]=>[4,6,5,7,8,1,2,3]
[1,8,3,4,2,5,6,7]=>[3,5,4,6,7,8,1,2]
[1,8,4,3,2,5,6,7]=>[5,4,3,6,7,8,1,2]
[8,4,7,6,5,3,2,1]=>[8,7,2,6,5,4,3,1]
[8,4,7,5,6,3,2,1]=>[4,8,2,7,6,5,3,1]
[8,5,7,4,6,3,2,1]=>[2,4,8,7,6,5,3,1]
[8,7,6,3,5,4,2,1]=>[8,4,7,6,5,3,2,1]
[8,6,7,3,5,4,2,1]=>[8,4,2,7,6,5,3,1]
[8,5,7,3,6,4,2,1]=>[2,8,4,7,6,5,3,1]
[8,1,7,4,6,5,3,2]=>[8,4,7,6,5,2,3,1]
[8,1,7,3,6,5,4,2]=>[8,7,4,6,5,2,3,1]
[8,2,7,3,6,5,4,1]=>[8,7,4,6,2,5,3,1]
[8,3,7,2,6,5,4,1]=>[8,7,2,4,6,5,3,1]
[8,5,7,2,6,4,3,1]=>[2,8,7,4,6,5,3,1]
[8,6,7,2,5,4,3,1]=>[8,7,4,2,6,5,3,1]
[8,7,6,2,5,4,3,1]=>[8,7,4,6,5,3,2,1]
[8,4,7,1,6,5,3,2]=>[8,2,7,6,4,5,3,1]
[8,3,7,1,6,5,4,2]=>[8,7,2,6,4,5,3,1]
[8,2,7,1,6,5,4,3]=>[8,7,6,2,4,5,3,1]
[8,1,7,2,6,5,4,3]=>[8,7,6,4,5,2,3,1]
[8,7,6,2,5,3,4,1]=>[6,8,4,7,5,3,2,1]
[8,1,7,6,5,3,4,2]=>[6,8,7,5,4,2,3,1]
[8,3,7,6,5,2,4,1]=>[6,8,7,2,5,4,3,1]
[8,4,7,6,5,2,3,1]=>[6,8,2,7,5,4,3,1]
[8,5,7,6,4,2,3,1]=>[2,6,8,7,5,4,3,1]
[8,6,7,5,4,1,3,2]=>[8,6,2,7,5,4,3,1]
[8,5,7,6,4,1,3,2]=>[2,8,6,7,5,4,3,1]
[8,3,7,6,5,1,4,2]=>[8,6,7,2,5,4,3,1]
[8,7,6,4,5,1,3,2]=>[8,6,4,7,5,3,2,1]
[8,7,6,2,5,1,4,3]=>[8,4,6,7,5,3,2,1]
[8,7,6,1,5,2,4,3]=>[8,6,7,4,5,3,2,1]
[6,8,1,3,2,5,4,7]=>[4,7,3,5,1,6,8,2]
[6,8,1,4,2,5,3,7]=>[7,5,3,4,1,6,8,2]
[7,8,3,6,1,4,2,5]=>[3,7,5,6,1,8,4,2]
[7,8,2,5,3,6,1,4]=>[5,7,3,4,1,8,6,2]
[7,8,2,5,1,4,3,6]=>[7,3,5,6,4,1,8,2]
[7,8,1,4,3,6,2,5]=>[5,4,7,8,3,1,6,2]
[5,8,1,4,3,7,2,6]=>[5,4,1,7,8,3,6,2]
[6,8,2,5,1,4,3,7]=>[7,3,5,1,6,4,8,2]
[6,8,2,5,3,7,1,4]=>[5,7,3,1,4,8,6,2]
[6,8,2,5,4,7,1,3]=>[7,5,3,1,4,8,6,2]
[2,5,4,7,6,8,1,3]=>[2,7,3,5,1,4,8,6]
[2,5,3,7,6,8,1,4]=>[2,7,5,1,3,4,8,6]
[2,5,1,4,3,7,6,8]=>[4,7,1,3,2,5,6,8]
[2,6,1,4,3,7,5,8]=>[4,7,1,3,5,2,6,8]
[2,6,5,8,1,4,3,7]=>[7,5,3,1,2,6,8,4]
[2,6,1,5,3,7,4,8]=>[7,5,1,3,4,2,6,8]
[2,6,3,7,4,8,1,5]=>[5,7,3,1,2,4,8,6]
[2,6,4,7,5,8,1,3]=>[7,3,2,5,1,4,8,6]
[5,8,3,6,4,7,1,2]=>[1,7,3,5,4,8,6,2]
[5,8,2,6,4,7,1,3]=>[1,7,5,3,4,8,6,2]
[4,8,2,6,3,7,1,5]=>[1,5,7,3,4,8,6,2]
[4,8,1,5,3,7,2,6]=>[1,5,4,7,8,3,6,2]
[4,8,1,5,2,6,3,7]=>[1,7,5,3,4,6,8,2]
[4,8,3,7,1,5,2,6]=>[1,3,7,5,6,8,4,2]
[6,8,3,7,1,4,2,5]=>[3,7,5,1,6,8,4,2]
[5,8,1,3,2,6,4,7]=>[4,7,3,1,5,6,8,2]
[5,8,4,7,1,3,2,6]=>[1,7,5,3,6,8,4,2]
[6,8,4,7,1,3,2,5]=>[7,5,3,1,6,8,4,2]
[6,8,5,7,1,3,2,4]=>[7,5,1,6,3,8,4,2]
[5,7,6,8,2,4,1,3]=>[1,5,7,3,2,8,6,4]
[4,7,6,8,1,3,2,5]=>[7,1,5,6,3,2,8,4]
[4,7,5,8,1,3,2,6]=>[7,1,5,3,6,2,8,4]
[4,7,1,3,2,6,5,8]=>[4,1,7,3,5,6,2,8]
[3,7,1,4,2,6,5,8]=>[1,4,7,3,5,6,2,8]
[3,7,5,8,1,4,2,6]=>[7,5,1,3,6,2,8,4]
[3,7,6,8,1,4,2,5]=>[7,5,6,1,3,2,8,4]
[3,7,6,8,2,5,1,4]=>[5,7,3,1,2,8,6,4]
[4,7,6,8,2,5,1,3]=>[5,7,1,3,2,8,6,4]
[4,7,5,8,3,6,1,2]=>[3,7,1,5,2,8,6,4]
[4,7,5,8,2,6,1,3]=>[5,1,3,7,2,8,6,4]
[3,7,5,8,2,6,1,4]=>[5,3,7,1,2,8,6,4]
[3,7,4,8,2,6,1,5]=>[3,5,7,1,2,8,6,4]
[3,7,4,8,1,5,2,6]=>[3,7,1,5,6,2,8,4]
[3,7,1,5,2,6,4,8]=>[7,1,5,3,4,6,2,8]
[3,7,2,6,1,5,4,8]=>[7,1,3,5,6,4,2,8]
[3,7,2,6,5,8,1,4]=>[7,5,1,3,4,2,8,6]
[4,7,3,6,5,8,1,2]=>[7,1,3,5,4,2,8,6]
[3,6,5,8,4,7,1,2]=>[3,2,7,1,5,8,6,4]
[2,6,5,8,4,7,1,3]=>[3,2,7,5,8,1,6,4]
[2,6,5,8,3,7,1,4]=>[5,3,2,7,8,1,6,4]
[2,6,3,7,1,5,4,8]=>[7,3,5,1,2,6,4,8]
[7,6,4,2,8,5,3,1]=>[3,8,7,4,2,1,6,5]
[7,6,4,3,8,2,5,1]=>[4,3,6,2,1,8,7,5]
[7,6,4,8,5,2,3,1]=>[3,6,2,1,8,7,5,4]
[6,8,4,3,7,2,1,5]=>[4,3,1,7,6,8,5,2]
[6,7,4,3,5,1,8,2]=>[4,3,1,8,6,5,2,7]
[6,7,3,5,4,8,2,1]=>[5,3,1,4,2,8,7,6]
[6,8,3,7,5,2,4,1]=>[6,1,8,3,7,5,4,2]
[7,6,8,3,5,2,4,1]=>[4,6,2,1,8,7,5,3]
[7,6,3,5,8,2,4,1]=>[6,3,4,2,1,8,7,5]
[7,6,3,5,2,4,8,1]=>[3,5,6,4,2,1,8,7]
[7,6,4,2,5,1,8,3]=>[8,4,3,6,5,2,1,7]
[7,6,2,8,4,1,5,3]=>[8,6,3,5,2,1,7,4]
[7,6,3,8,2,4,1,5]=>[3,5,7,6,2,1,8,4]
[7,6,3,4,8,2,5,1]=>[3,4,6,2,1,8,7,5]
[6,8,3,7,4,5,2,1]=>[5,1,8,3,7,6,4,2]
[6,7,3,5,8,4,2,1]=>[4,1,8,3,2,7,6,5]
[5,7,8,3,6,2,1,4]=>[1,4,7,6,2,8,5,3]
[5,8,3,6,7,2,1,4]=>[1,7,3,6,4,8,5,2]
[6,3,4,8,7,2,5,1]=>[6,8,2,1,3,7,5,4]
[6,3,8,4,7,2,1,5]=>[4,7,2,1,6,8,5,3]
[6,2,8,4,1,7,5,3]=>[4,8,7,2,1,5,6,3]
[6,2,7,4,1,5,3,8]=>[7,5,2,4,1,6,3,8]
[6,3,4,7,5,8,2,1]=>[5,2,3,1,4,8,7,6]
[6,3,5,7,8,4,2,1]=>[3,4,1,8,2,7,6,5]
[5,7,3,6,8,2,1,4]=>[1,7,3,6,4,2,8,5]
[5,6,8,3,7,2,1,4]=>[1,4,2,7,6,8,5,3]
[5,6,7,3,4,1,8,2]=>[1,4,2,8,6,5,3,7]
[4,6,7,8,3,5,2,1]=>[2,5,1,3,8,7,6,4]
[4,6,8,3,5,7,2,1]=>[4,1,2,5,8,7,6,3]
[4,7,3,5,6,8,2,1]=>[1,3,4,5,2,8,7,6]
[4,7,3,5,8,2,6,1]=>[1,3,4,6,2,8,7,5]
[5,3,4,7,8,2,1,6]=>[7,2,1,3,6,4,8,5]
[5,3,8,2,4,1,6,7]=>[2,4,1,6,5,7,8,3]
[5,3,4,8,2,6,1,7]=>[2,3,1,5,7,6,8,4]
[4,8,3,6,2,5,7,1]=>[1,3,5,6,4,8,7,2]
[4,8,3,5,7,2,6,1]=>[1,3,4,6,8,7,5,2]
[4,8,3,5,6,7,2,1]=>[1,3,4,5,8,7,6,2]
[4,7,8,3,5,6,2,1]=>[4,5,1,2,8,7,6,3]
[4,7,8,3,6,2,5,1]=>[4,6,1,2,8,7,5,3]
[4,8,3,6,7,2,5,1]=>[6,1,3,4,8,7,5,2]
[4,8,3,7,2,5,6,1]=>[1,3,5,6,8,7,4,2]
[5,3,4,8,2,7,6,1]=>[8,2,1,3,5,7,6,4]
[5,3,8,2,4,1,7,6]=>[2,4,1,5,8,6,7,3]
[5,2,8,4,1,7,3,6]=>[7,4,1,8,2,5,6,3]
[6,4,2,5,1,8,7,3]=>[4,2,8,3,1,7,5,6]
[6,4,3,5,8,2,1,7]=>[3,2,4,1,7,6,8,5]
[6,3,5,8,7,2,4,1]=>[3,6,1,8,2,7,5,4]
[5,8,3,7,2,6,4,1]=>[1,8,3,5,7,6,4,2]
[5,7,3,4,8,2,1,6]=>[3,1,4,7,6,2,8,5]
[5,8,4,2,3,1,6,7]=>[4,1,6,5,3,7,8,2]
[5,8,4,2,3,1,7,6]=>[4,1,5,3,8,6,7,2]
[6,4,5,3,8,2,1,7]=>[2,4,3,1,7,6,8,5]
[6,4,8,5,3,7,2,1]=>[5,2,1,4,8,7,6,3]
[6,4,3,8,5,7,2,1]=>[2,5,1,8,3,7,6,4]
[6,4,2,8,5,3,1,7]=>[2,7,6,3,1,5,8,4]
[6,4,2,7,3,1,8,5]=>[5,2,8,3,1,6,4,7]
[6,4,3,7,8,5,2,1]=>[2,4,1,8,3,7,6,5]
[6,4,5,3,7,1,8,2]=>[2,4,3,1,8,6,5,7]
[5,7,4,2,3,1,6,8]=>[4,1,6,5,3,7,2,8]
[5,6,3,7,1,8,2,4]=>[3,1,7,2,8,5,4,6]
[5,6,3,4,7,1,8,2]=>[3,1,4,2,8,6,5,7]
[5,6,3,4,8,2,1,7]=>[3,1,4,2,7,6,8,5]
[6,3,5,7,4,8,2,1]=>[3,5,2,1,4,8,7,6]
[6,3,5,4,7,8,2,1]=>[4,2,3,1,5,8,7,6]
[6,4,3,5,7,1,8,2]=>[3,2,4,1,8,6,5,7]
[6,4,2,5,1,7,3,8]=>[7,3,2,5,4,1,6,8]
[5,3,7,2,4,1,6,8]=>[2,4,1,6,5,7,3,8]
[5,3,4,7,2,6,1,8]=>[2,3,1,5,7,6,4,8]
[4,7,3,6,2,5,8,1]=>[1,3,5,6,4,2,8,7]
[4,7,3,6,8,2,5,1]=>[6,1,3,4,2,8,7,5]
[4,6,7,3,5,8,2,1]=>[4,1,2,5,3,8,7,6]
[4,5,7,8,3,6,2,1]=>[5,1,2,3,8,7,6,4]
[4,5,8,3,6,7,2,1]=>[1,2,4,5,8,7,6,3]
[4,5,8,3,7,2,6,1]=>[1,2,4,6,8,7,5,3]
[5,3,4,6,8,2,1,7]=>[2,3,1,4,7,6,8,5]
[5,3,6,8,2,1,4,7]=>[6,2,1,5,3,7,8,4]
[5,3,6,7,1,8,2,4]=>[7,2,1,3,8,5,4,6]
[5,3,4,6,7,1,8,2]=>[2,3,1,4,8,6,5,7]
[4,6,3,5,7,8,2,1]=>[1,3,4,2,5,8,7,6]
[4,5,7,3,6,8,2,1]=>[1,2,4,5,3,8,7,6]
[4,5,6,8,3,7,2,1]=>[1,2,3,5,8,7,6,4]
[5,7,4,8,6,3,2,1]=>[8,1,3,2,7,6,5,4]
[3,2,6,5,1,8,7,4]=>[4,1,3,8,2,7,5,6]
[3,5,6,7,2,8,4,1]=>[2,3,8,1,5,4,7,6]
[1,6,2,5,3,4,8,7]=>[8,5,3,4,1,2,6,7]
[1,3,8,2,4,6,5,7]=>[7,2,4,5,6,8,1,3]
[1,7,2,3,6,4,8,5]=>[8,6,3,4,5,1,2,7]
[1,6,8,2,5,3,7,4]=>[8,6,4,2,5,7,1,3]
[1,8,2,5,3,4,7,6]=>[8,5,3,4,6,7,1,2]
[1,8,2,3,6,4,7,5]=>[8,6,3,4,5,7,1,2]
[1,3,5,2,8,4,7,6]=>[3,8,2,6,7,1,4,5]
[1,2,7,3,5,4,6,8]=>[6,4,5,7,1,2,3,8]
[1,8,2,7,3,4,6,5]=>[8,5,6,7,3,4,1,2]
[1,5,8,2,3,7,4,6]=>[7,2,8,4,5,6,1,3]
[1,6,8,2,3,5,4,7]=>[7,4,5,2,6,8,1,3]
[5,3,6,1,2,4,8,7]=>[2,8,4,1,5,3,6,7]
[7,1,5,8,4,2,3,6]=>[6,3,7,5,8,2,1,4]
[8,1,5,7,4,2,3,6]=>[6,3,7,5,8,2,4,1]
[7,1,4,5,8,2,3,6]=>[3,6,4,7,8,2,1,5]
[7,4,1,6,2,8,3,5]=>[7,2,8,5,3,4,1,6]
[8,4,1,7,2,6,3,5]=>[7,2,8,5,6,3,4,1]
[8,1,4,7,5,2,3,6]=>[3,6,7,5,8,2,4,1]
[8,1,5,4,7,2,3,6]=>[6,4,3,7,8,2,5,1]
[2,1,7,5,8,3,4,6]=>[6,4,7,1,3,8,2,5]
[7,1,5,4,8,2,3,6]=>[6,4,3,7,8,2,1,5]
[7,1,4,8,5,2,3,6]=>[3,6,7,5,8,2,1,4]
[6,4,1,7,2,3,8,5]=>[8,5,2,6,3,1,4,7]
[7,8,3,1,2,4,6,5]=>[8,4,3,5,6,1,7,2]
[8,7,1,6,4,2,3,5]=>[6,7,5,8,3,4,2,1]
[8,6,1,7,4,2,3,5]=>[6,7,5,8,3,2,4,1]
[7,6,1,8,4,2,3,5]=>[6,7,5,8,3,2,1,4]
[7,3,8,1,2,4,6,5]=>[2,8,4,5,6,1,7,3]
[8,3,7,1,2,4,6,5]=>[2,8,4,5,6,7,3,1]
[8,3,6,1,2,4,7,5]=>[2,8,4,5,6,3,7,1]
[8,3,7,5,1,2,4,6]=>[2,5,6,7,4,8,3,1]
[7,3,6,1,2,4,8,5]=>[2,8,4,5,6,3,1,7]
[6,7,1,8,4,2,3,5]=>[6,7,5,1,8,3,2,4]
[6,8,1,7,4,2,3,5]=>[6,7,5,1,8,3,4,2]
[7,1,8,5,4,2,3,6]=>[6,7,5,4,8,2,1,3]
[7,1,8,4,5,2,3,6]=>[6,4,7,5,8,2,1,3]
[2,1,7,8,5,3,4,6]=>[6,7,5,1,3,8,2,4]
[7,6,3,1,2,4,8,5]=>[8,4,3,5,6,2,1,7]
[6,1,2,3,8,7,5,4]=>[8,7,6,2,3,1,4,5]
[6,8,1,4,2,3,7,5]=>[8,5,3,4,1,6,7,2]
[6,8,3,1,2,7,4,5]=>[7,3,8,4,1,5,6,2]
[6,7,3,1,2,8,4,5]=>[7,3,8,4,1,5,2,6]
[6,7,1,4,2,3,8,5]=>[8,5,3,4,1,6,2,7]
[4,3,6,8,5,7,1,2]=>[1,3,7,2,5,8,6,4]
[6,1,2,5,4,8,3,7]=>[5,4,7,8,2,1,3,6]
[3,2,8,5,4,1,7,6]=>[5,1,4,8,2,6,7,3]
[7,8,2,1,4,6,3,5]=>[3,5,7,8,4,1,6,2]
[7,2,1,5,8,3,4,6]=>[6,2,4,7,8,3,1,5]
[2,4,8,5,1,3,6,7]=>[2,5,6,1,4,7,8,3]
[3,5,6,1,8,4,2,7]=>[2,7,1,6,3,8,4,5]
[1,3,6,8,7,4,2,5]=>[3,7,6,8,2,5,1,4]
[1,2,8,5,7,3,4,6]=>[6,4,7,8,5,1,2,3]
[2,6,1,5,8,3,4,7]=>[6,4,7,1,2,8,3,5]
[5,7,1,6,8,4,3,2]=>[1,4,8,7,6,3,2,5]
[4,8,1,2,5,7,3,6]=>[5,1,7,8,3,4,6,2]
[8,4,6,2,5,7,3,1]=>[2,5,8,4,3,7,6,1]
[8,3,6,4,7,2,5,1]=>[4,6,2,3,8,7,5,1]
[3,8,1,4,7,2,5,6]=>[1,4,6,7,8,3,5,2]
[1,7,8,4,6,2,5,3]=>[4,8,6,2,7,5,1,3]
[3,7,4,8,5,1,6,2]=>[8,3,6,1,5,2,7,4]
[3,7,1,6,5,4,8,2]=>[6,5,1,4,8,3,2,7]
[2,7,3,1,5,8,4,6]=>[3,5,7,8,1,4,2,6]
[2,7,4,6,8,1,3,5]=>[3,6,7,4,1,2,8,5]
[2,7,5,8,6,4,1,3]=>[3,7,2,8,6,1,5,4]
[8,2,6,7,5,4,3,1]=>[3,8,7,6,2,5,4,1]
[3,8,7,1,6,4,5,2]=>[6,8,7,1,4,5,3,2]
[3,6,8,2,7,4,1,5]=>[7,4,1,2,6,8,5,3]
[1,5,2,8,7,4,6,3]=>[2,6,8,7,5,1,3,4]
[3,4,2,7,8,1,6,5]=>[8,1,2,6,3,4,7,5]
[4,1,3,7,5,6,8,2]=>[5,1,6,3,4,8,2,7]
[6,3,8,1,7,4,2,5]=>[7,2,6,1,8,4,5,3]
[6,5,8,7,1,4,2,3]=>[7,2,1,8,5,6,4,3]
[4,1,7,3,8,5,2,6]=>[1,7,4,6,3,8,2,5]
[3,6,1,4,5,8,2,7]=>[1,4,5,7,2,8,3,6]
[1,6,7,4,5,3,8,2]=>[4,2,6,5,3,8,1,7]
[6,1,7,3,5,4,8,2]=>[6,4,5,3,1,8,2,7]
[6,3,1,2,5,8,4,7]=>[5,2,7,8,3,1,4,6]
[1,4,7,2,8,5,3,6]=>[7,2,6,8,4,1,3,5]
[5,6,8,7,2,4,1,3]=>[1,5,2,7,8,6,4,3]
[6,8,5,7,1,2,4,3]=>[8,5,1,6,3,7,4,2]
[2,8,4,1,7,5,6,3]=>[3,6,8,7,1,4,5,2]
[8,2,4,3,7,5,6,1]=>[3,6,8,2,4,7,5,1]
[6,8,2,1,5,7,3,4]=>[7,3,5,1,8,4,6,2]
[7,2,8,4,1,6,3,5]=>[7,4,8,2,5,1,6,3]
[1,2,4,8,6,5,3,7]=>[7,6,3,5,8,1,2,4]
[7,1,5,6,8,4,3,2]=>[3,4,8,7,6,2,1,5]
[2,7,8,1,4,6,3,5]=>[5,7,8,4,1,2,6,3]
[4,8,2,5,7,1,6,3]=>[1,4,8,3,6,7,5,2]
[4,1,6,8,5,3,7,2]=>[1,3,6,5,8,7,2,4]
[5,2,6,4,8,3,1,7]=>[4,3,1,7,2,6,8,5]
[6,7,1,3,4,5,8,2]=>[4,5,6,1,8,3,2,7]
[1,7,3,2,4,8,5,6]=>[3,7,8,4,5,1,2,6]
[1,3,6,5,2,8,4,7]=>[7,4,2,3,8,1,5,6]
[7,1,6,5,3,4,8,2]=>[5,6,4,3,8,2,1,7]
[6,3,4,2,8,7,5,1]=>[8,2,3,1,7,4,6,5]
[4,3,8,7,5,2,6,1]=>[6,1,5,8,2,7,4,3]
[6,8,7,4,2,3,5,1]=>[5,1,6,4,8,7,3,2]
[3,6,4,5,2,8,7,1]=>[3,4,1,2,8,5,7,6]
[8,6,1,3,5,4,2,7]=>[7,4,6,3,5,2,8,1]
[5,3,8,6,1,2,4,7]=>[2,5,1,6,7,4,8,3]
[2,5,6,3,4,8,7,1]=>[2,8,4,1,3,5,7,6]
[2,5,3,6,8,7,4,1]=>[2,8,4,7,1,3,6,5]
[4,8,7,3,5,2,6,1]=>[4,6,1,5,8,7,3,2]
[3,8,7,2,6,4,5,1]=>[6,8,4,7,1,5,3,2]
[6,3,5,4,8,7,2,1]=>[3,8,2,1,4,7,6,5]
[4,3,8,6,1,5,2,7]=>[1,7,2,5,6,4,8,3]
[4,7,6,2,5,3,8,1]=>[6,1,4,5,3,2,8,7]
[7,5,2,6,8,1,4,3]=>[8,6,3,2,4,1,7,5]
[8,5,2,7,1,4,3,6]=>[7,3,5,2,6,8,4,1]
[1,8,5,3,6,2,4,7]=>[4,6,3,7,5,8,1,2]
[5,1,7,2,4,3,8,6]=>[5,8,4,1,6,2,3,7]
[1,5,3,4,8,6,2,7]=>[7,3,2,4,6,8,1,5]
[5,4,1,3,8,6,2,7]=>[7,4,2,1,6,8,3,5]
[5,1,8,6,3,4,2,7]=>[5,1,7,6,4,8,2,3]
[4,5,2,8,3,7,6,1]=>[1,2,8,5,7,3,6,4]
[8,2,3,7,6,4,5,1]=>[6,8,7,2,3,5,4,1]
[5,8,2,4,7,6,3,1]=>[1,8,4,7,3,6,5,2]
[6,8,2,5,3,4,7,1]=>[5,6,3,1,4,8,7,2]
[7,2,5,6,4,8,1,3]=>[3,7,5,2,4,1,8,6]
[1,6,7,4,8,2,3,5]=>[6,4,2,7,3,8,1,5]
[7,1,3,5,8,2,6,4]=>[4,8,3,6,7,2,1,5]
[8,2,1,3,5,6,7,4]=>[2,5,6,8,3,4,7,1]
[6,3,1,4,7,5,8,2]=>[2,6,4,5,1,8,3,7]
[4,1,3,8,2,6,7,5]=>[6,1,8,3,5,7,2,4]
[2,8,3,6,7,5,4,1]=>[4,8,7,3,6,1,5,2]
[3,1,7,2,8,5,4,6]=>[7,1,6,8,4,2,3,5]
[3,6,1,4,7,2,8,5]=>[8,1,4,6,3,2,5,7]
[1,5,8,4,7,2,3,6]=>[2,6,4,7,8,5,1,3]
[7,1,3,6,2,8,4,5]=>[7,8,3,5,2,4,1,6]
[6,2,7,4,5,8,1,3]=>[4,7,5,2,1,3,8,6]
[2,1,8,4,5,7,3,6]=>[4,5,7,8,1,6,2,3]
[1,8,5,7,3,2,4,6]=>[6,5,3,7,8,4,1,2]
[2,1,8,5,4,3,6,7]=>[6,5,1,4,7,8,2,3]
[2,7,4,1,5,3,8,6]=>[5,3,8,1,4,6,2,7]
[7,4,8,6,2,3,1,5]=>[2,5,7,6,1,8,4,3]
[2,7,1,4,6,3,8,5]=>[8,4,6,1,3,5,2,7]
[4,7,5,6,8,1,3,2]=>[3,8,1,6,4,2,7,5]
[7,1,3,2,8,5,4,6]=>[7,3,6,8,2,4,1,5]
[2,8,5,4,1,3,6,7]=>[5,6,4,1,3,7,8,2]
[5,1,7,4,2,3,8,6]=>[8,5,4,1,6,2,3,7]
[3,8,6,5,1,4,2,7]=>[7,5,6,1,4,3,8,2]
[1,3,4,8,6,5,2,7]=>[7,6,2,3,5,8,1,4]
[4,1,8,6,5,3,2,7]=>[7,1,6,5,4,8,2,3]
[4,8,5,2,7,3,6,1]=>[6,1,3,8,4,7,5,2]
[7,2,8,5,3,6,4,1]=>[8,5,4,7,2,1,6,3]
[5,2,8,4,3,7,6,1]=>[4,1,8,5,7,2,6,3]
[8,4,7,5,2,3,6,1]=>[2,5,6,4,8,7,3,1]
[7,5,2,8,4,6,1,3]=>[7,5,2,8,3,1,6,4]
[5,7,4,3,6,2,8,1]=>[1,4,3,6,5,2,8,7]
[6,7,5,1,2,8,3,4]=>[7,8,4,1,5,3,2,6]
[5,2,6,8,3,4,7,1]=>[5,3,1,6,8,2,7,4]
[7,6,2,4,5,8,3,1]=>[4,5,8,3,2,1,7,6]
[3,6,8,4,7,2,5,1]=>[4,2,6,8,1,7,5,3]
[7,6,3,8,4,2,5,1]=>[6,3,5,2,1,8,7,4]
[2,6,3,8,4,7,5,1]=>[8,5,2,7,1,3,6,4]
[7,2,3,6,5,8,4,1]=>[5,4,8,2,3,1,7,6]
[6,2,7,5,8,3,1,4]=>[7,6,4,2,1,3,8,5]
[2,8,3,6,4,5,7,1]=>[5,6,3,4,8,1,7,2]
[2,1,5,6,8,3,7,4]=>[3,4,8,1,6,7,2,5]
[5,8,1,2,6,4,7,3]=>[6,5,1,8,3,4,7,2]
[1,6,8,3,2,7,4,5]=>[4,7,2,8,5,6,1,3]
[6,5,7,2,8,4,1,3]=>[7,2,1,8,4,3,6,5]
[7,5,1,2,8,4,6,3]=>[6,8,7,3,2,4,1,5]
[5,4,8,3,6,2,7,1]=>[2,1,4,6,5,8,7,3]
[5,8,2,7,4,3,6,1]=>[1,6,5,8,3,7,4,2]
[6,4,5,8,2,7,3,1]=>[2,3,1,8,5,7,6,4]
[5,7,3,6,4,8,2,1]=>[1,5,3,4,2,8,7,6]
[1,5,6,4,8,2,7,3]=>[2,4,3,8,6,7,1,5]
[3,1,5,6,4,8,7,2]=>[1,3,4,8,5,7,2,6]
[1,3,6,2,5,7,8,4]=>[5,6,2,3,8,1,4,7]
[1,4,6,3,5,7,8,2]=>[2,4,5,3,6,8,1,7]
[3,5,1,6,4,7,8,2]=>[5,1,4,2,6,8,3,7]
[3,6,1,4,2,7,8,5]=>[1,4,6,8,3,2,5,7]
[2,4,6,3,1,7,8,5]=>[2,4,6,1,3,8,5,7]
[1,3,6,5,2,7,8,4]=>[6,4,2,3,8,1,5,7]
[1,2,6,4,3,8,5,7]=>[4,7,3,8,1,2,5,6]
[1,2,6,3,5,8,7,4]=>[8,5,3,7,1,2,4,6]
[2,3,5,1,8,4,7,6]=>[3,8,1,2,6,7,4,5]
[2,3,6,1,8,5,4,7]=>[7,6,1,2,3,8,4,5]
[1,2,7,4,6,8,3,5]=>[7,4,5,3,8,1,2,6]
[2,3,7,5,1,8,4,6]=>[7,4,8,1,2,5,3,6]
[4,7,2,5,3,8,6,1]=>[1,4,8,3,5,2,7,6]
[3,1,7,5,4,8,6,2]=>[4,8,1,5,3,7,2,6]
[1,2,7,6,4,8,5,3]=>[8,5,4,3,7,1,2,6]
[1,2,7,3,6,8,5,4]=>[5,8,7,4,1,2,3,6]
[2,3,6,1,8,5,7,4]=>[6,3,8,1,2,7,4,5]
[3,1,5,4,8,7,6,2]=>[8,1,3,7,4,6,2,5]
[1,2,5,8,4,7,3,6]=>[3,5,7,8,6,1,2,4]
[1,2,6,8,5,4,7,3]=>[3,6,5,8,7,1,2,4]
[1,3,6,8,5,2,7,4]=>[3,8,6,2,5,7,1,4]
[3,5,7,4,8,2,1,6]=>[2,4,7,1,6,3,8,5]
[2,4,7,6,8,3,1,5]=>[7,6,2,4,1,3,8,5]
[1,4,6,8,3,5,2,7]=>[5,2,3,7,6,8,1,4]
[1,3,6,8,5,2,4,7]=>[6,3,7,2,5,8,1,4]
[1,2,6,8,5,4,3,7]=>[3,7,6,5,8,1,2,4]
[1,2,5,8,4,3,7,6]=>[3,5,8,6,7,1,2,4]
[1,3,5,8,2,4,7,6]=>[3,8,2,5,6,7,1,4]
[1,3,6,8,2,5,4,7]=>[7,5,2,3,6,8,1,4]
[1,4,6,8,3,2,5,7]=>[6,2,5,3,7,8,1,4]
[3,5,7,4,8,1,2,6]=>[2,6,1,4,7,3,8,5]
[4,6,1,7,5,8,2,3]=>[7,1,5,4,2,8,3,6]
[2,3,6,7,5,8,1,4]=>[3,7,5,1,2,4,8,6]
[1,3,7,5,6,8,2,4]=>[4,7,5,2,3,8,1,6]
[2,3,6,5,8,1,7,4]=>[4,3,8,1,2,6,7,5]
[3,4,6,2,8,1,7,5]=>[8,1,2,4,3,6,7,5]
[3,5,4,6,8,2,1,7]=>[3,1,2,4,7,6,8,5]
[3,5,4,6,8,1,2,7]=>[3,1,2,6,4,7,8,5]
[1,2,4,7,5,8,3,6]=>[5,7,3,4,8,1,2,6]
[1,2,6,7,4,8,3,5]=>[5,3,7,4,8,1,2,6]
[3,6,4,7,1,8,5,2]=>[8,3,1,2,7,5,4,6]
[1,2,6,7,3,8,5,4]=>[3,8,7,5,1,2,4,6]
[1,2,5,7,3,8,6,4]=>[8,3,7,5,1,2,4,6]
[3,1,5,7,6,8,4,2]=>[5,1,3,4,8,7,2,6]
[3,5,4,6,8,2,7,1]=>[3,1,2,4,6,8,7,5]
[4,2,6,1,8,7,5,3]=>[1,3,8,7,2,6,4,5]
[3,1,6,5,8,7,4,2]=>[3,8,1,4,7,6,2,5]
[2,3,6,5,8,7,1,4]=>[4,3,7,8,1,2,6,5]
[1,2,7,4,6,8,5,3]=>[5,8,4,3,7,1,2,6]
[1,2,7,5,6,8,4,3]=>[4,5,3,8,7,1,2,6]
[3,1,6,7,5,8,4,2]=>[3,5,1,4,8,7,2,6]
[4,6,2,7,5,8,3,1]=>[5,1,4,2,8,3,7,6]
[3,5,7,4,8,2,6,1]=>[2,4,6,1,3,8,7,5]
[2,4,7,6,8,3,5,1]=>[6,4,2,3,8,1,7,5]
[1,4,6,8,3,5,7,2]=>[5,2,3,6,8,7,1,4]
[1,3,6,8,2,5,7,4]=>[6,3,8,2,5,7,1,4]
[1,3,5,8,2,7,4,6]=>[3,7,8,2,5,6,1,4]
[1,2,5,8,4,7,6,3]=>[8,3,5,7,6,1,2,4]
[1,2,4,8,7,3,6,5]=>[8,6,7,3,5,1,2,4]
[1,2,5,8,7,4,3,6]=>[7,3,6,8,5,1,2,4]
[1,3,5,8,7,2,4,6]=>[3,6,7,8,2,5,1,4]
[2,3,7,6,8,5,1,4]=>[7,4,3,8,1,2,6,5]
[5,7,1,2,8,6,4,3]=>[1,8,7,6,3,4,2,5]
[3,1,7,6,8,5,4,2]=>[4,3,8,1,7,6,2,5]
[1,2,6,8,5,7,4,3]=>[3,5,8,7,6,1,2,4]
[1,2,5,8,7,4,6,3]=>[6,8,3,7,5,1,2,4]
[1,2,4,8,7,6,3,5]=>[7,8,6,3,5,1,2,4]
[6,4,5,7,2,8,1,3]=>[2,5,3,1,7,4,8,6]
[5,3,4,7,2,8,1,6]=>[2,3,1,5,7,4,8,6]
[3,2,7,4,6,8,1,5]=>[7,1,4,5,2,3,8,6]
[5,3,6,2,7,1,4,8]=>[2,4,1,6,3,7,5,8]
[2,6,3,4,7,1,5,8]=>[3,4,6,1,2,7,5,8]
[2,7,3,4,5,8,1,6]=>[3,4,5,7,1,2,8,6]
[3,7,4,5,6,8,1,2]=>[3,4,7,1,5,2,8,6]
[2,5,7,3,6,8,1,4]=>[2,7,4,5,1,3,8,6]
[4,7,6,2,3,8,1,5]=>[1,4,5,7,3,2,8,6]
[7,3,5,2,4,8,1,6]=>[2,4,5,3,7,1,8,6]
[7,6,2,4,5,8,1,3]=>[4,7,3,5,2,1,8,6]
[6,5,2,3,4,8,1,7]=>[3,4,5,2,1,7,8,6]
[5,3,1,2,8,4,7,6]=>[2,8,6,1,7,3,4,5]
[6,5,2,3,7,1,4,8]=>[3,4,6,2,1,7,5,8]
[5,2,1,7,3,4,6,8]=>[2,5,6,1,7,3,4,8]
[5,2,1,8,3,4,6,7]=>[2,5,6,1,7,8,3,4]
[6,3,2,8,4,5,7,1]=>[2,5,6,1,8,3,7,4]
[7,3,1,2,8,4,6,5]=>[2,8,6,7,3,4,1,5]
[6,4,1,3,8,5,7,2]=>[6,2,8,4,1,7,3,5]
[6,2,3,1,8,4,7,5]=>[8,2,3,6,1,7,4,5]
[8,3,5,2,7,1,4,6]=>[2,4,6,3,7,8,5,1]
[8,6,2,4,7,1,5,3]=>[4,8,3,6,2,7,5,1]
[8,5,2,3,6,1,4,7]=>[3,4,6,2,7,5,8,1]
[8,2,1,7,3,4,5,6]=>[2,5,6,7,8,3,4,1]
[8,6,3,7,2,4,5,1]=>[3,5,6,2,8,7,4,1]
[7,1,6,2,3,4,5,8]=>[4,5,6,7,2,3,1,8]
[8,2,7,3,4,5,6,1]=>[4,5,6,8,2,7,3,1]
[8,1,6,2,3,4,5,7]=>[4,5,6,7,2,3,8,1]
[8,1,7,3,4,5,6,2]=>[4,5,6,8,7,2,3,1]
[8,6,1,7,2,4,5,3]=>[6,8,5,7,3,2,4,1]
[8,1,5,7,2,3,6,4]=>[8,5,3,6,7,2,4,1]
[1,7,5,8,2,3,6,4]=>[8,5,3,6,2,7,1,4]
[7,2,1,8,3,4,5,6]=>[2,5,6,7,8,3,1,4]
[7,3,8,2,4,5,6,1]=>[2,4,5,6,1,8,7,3]
[7,2,8,3,4,5,6,1]=>[4,5,6,8,2,1,7,3]
[1,7,8,3,4,5,6,2]=>[4,5,6,2,8,7,1,3]
[1,4,5,8,3,6,7,2]=>[2,3,5,6,8,7,1,4]
[2,5,7,1,8,3,6,4]=>[2,8,6,7,1,4,3,5]
[6,2,7,1,8,4,5,3]=>[6,8,7,2,1,4,3,5]
[4,7,1,3,8,5,6,2]=>[1,6,8,4,7,3,2,5]
[1,6,2,8,4,5,7,3]=>[5,6,2,8,7,1,3,4]
[4,1,3,6,8,2,7,5]=>[4,1,8,3,6,7,2,5]
[5,3,4,6,8,2,7,1]=>[2,3,1,4,6,8,7,5]
[4,6,3,8,7,1,2,5]=>[1,3,6,2,7,8,5,4]
[6,4,5,8,7,1,2,3]=>[2,6,3,1,7,8,5,4]
[5,3,4,8,7,1,2,6]=>[2,3,1,6,7,8,5,4]
[3,2,8,7,1,4,6,5]=>[8,1,5,6,7,2,4,3]
[3,1,8,7,2,4,6,5]=>[8,1,5,6,7,4,2,3]
[5,3,7,6,1,2,4,8]=>[2,5,1,6,7,4,3,8]
[1,8,3,7,2,4,5,6]=>[3,5,6,7,8,4,1,2]
[3,8,1,7,2,4,5,6]=>[1,5,6,7,8,3,4,2]
[6,8,2,3,5,1,4,7]=>[3,4,6,1,7,5,8,2]
[4,7,8,2,6,1,3,5]=>[1,4,6,7,2,8,5,3]
[6,2,8,7,1,4,5,3]=>[6,8,5,1,7,2,4,3]
[3,8,7,1,4,5,6,2]=>[5,6,8,1,4,7,3,2]
[2,8,6,1,3,4,5,7]=>[4,5,6,7,1,3,8,2]
[2,7,6,1,3,4,5,8]=>[4,5,6,7,1,3,2,8]
[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,1,2,8]
[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,1,2]
[2,8,7,3,4,5,6,1]=>[4,5,6,8,7,1,3,2]
[3,8,7,2,4,5,6,1]=>[4,5,6,8,1,7,3,2]
[7,8,3,6,2,4,5,1]=>[3,5,6,1,8,7,4,2]
[1,5,8,7,2,3,6,4]=>[2,8,5,6,7,4,1,3]
[8,7,6,1,3,4,5,2]=>[5,6,8,4,7,3,2,1]
[3,6,2,4,7,1,8,5]=>[8,1,3,4,2,6,5,7]
[3,4,7,2,5,1,8,6]=>[1,2,4,5,8,6,3,7]
[2,1,6,4,8,5,3,7]=>[7,4,1,3,6,8,2,5]
[4,1,8,5,3,2,7,6]=>[1,5,4,8,6,7,2,3]
[3,6,2,5,7,1,4,8]=>[6,1,3,4,2,7,5,8]
[1,2,8,3,7,5,4,6]=>[7,6,8,4,5,1,2,3]
[6,1,3,2,8,5,4,7]=>[7,3,6,8,2,1,4,5]
[5,6,1,2,8,4,3,7]=>[7,6,1,8,3,2,4,5]
[1,6,3,8,7,4,2,5]=>[7,6,2,8,3,5,1,4]
[4,3,8,1,2,6,7,5]=>[2,1,6,8,4,5,7,3]
[3,6,8,7,1,2,5,4]=>[8,5,1,2,6,7,4,3]
[6,2,8,5,4,7,1,3]=>[7,5,4,1,8,2,6,3]
[6,5,7,2,4,8,1,3]=>[7,4,2,1,5,3,8,6]
[3,4,1,6,5,8,7,2]=>[1,2,4,8,5,7,3,6]
[3,5,1,2,4,8,7,6]=>[8,1,7,3,2,4,5,6]
[3,7,5,2,1,4,6,8]=>[5,1,4,6,3,7,2,8]
[3,8,5,2,7,4,1,6]=>[7,4,1,3,6,8,5,2]
[5,2,8,4,7,3,1,6]=>[4,1,7,6,8,2,5,3]
[5,2,7,4,1,3,6,8]=>[5,6,2,1,4,7,3,8]
[4,3,5,1,2,8,7,6]=>[2,1,3,8,7,4,5,6]
[3,1,4,6,2,8,7,5]=>[1,4,8,3,7,2,5,6]
[1,4,6,5,2,8,7,3]=>[4,2,3,8,7,1,5,6]
[3,4,5,6,1,8,7,2]=>[1,2,3,4,8,7,5,6]
[3,4,5,8,7,2,1,6]=>[7,1,2,3,6,8,5,4]
[1,4,7,2,6,3,5,8]=>[2,6,7,4,5,1,3,8]
[8,4,7,5,2,1,6,3]=>[2,5,8,6,4,7,3,1]
[8,1,4,7,2,3,6,5]=>[3,8,5,6,7,2,4,1]
[1,8,5,7,3,4,6,2]=>[5,3,6,8,7,4,1,2]
[6,3,5,1,7,4,2,8]=>[7,2,6,4,3,1,5,8]
[6,1,4,8,7,3,2,5]=>[7,3,6,1,8,5,2,4]
[6,4,8,5,7,1,2,3]=>[2,6,1,7,4,8,5,3]
[5,4,8,1,6,3,2,7]=>[2,1,7,6,4,5,8,3]
[1,4,8,6,3,7,2,5]=>[5,7,2,4,8,6,1,3]
[5,4,7,6,3,8,1,2]=>[1,7,2,5,4,3,8,6]
[4,6,3,7,5,8,1,2]=>[7,1,3,2,5,4,8,6]
[4,1,3,5,8,6,2,7]=>[7,3,1,4,6,8,2,5]
[5,7,4,3,8,1,2,6]=>[1,6,4,3,7,2,8,5]
[1,4,8,3,7,6,5,2]=>[8,7,2,4,6,5,1,3]
[4,3,8,2,1,6,5,7]=>[2,1,4,7,5,6,8,3]
[3,8,4,2,7,1,5,6]=>[4,1,3,6,7,8,5,2]
[3,1,2,5,7,6,4,8]=>[1,7,4,6,2,3,5,8]
[1,8,2,7,6,5,4,3]=>[8,7,6,5,3,4,1,2]
[3,8,1,6,7,5,4,2]=>[4,8,7,1,6,3,5,2]
[3,7,2,6,8,5,1,4]=>[7,4,8,1,3,2,6,5]
[7,2,3,8,5,6,1,4]=>[7,5,8,2,3,1,6,4]
[8,2,1,7,5,6,4,3]=>[5,8,7,2,6,3,4,1]
[8,1,3,6,5,7,4,2]=>[5,4,8,3,7,2,6,1]
[8,2,4,3,6,1,5,7]=>[4,2,3,6,7,5,8,1]
[1,7,8,5,4,3,6,2]=>[6,5,4,2,8,7,1,3]
[1,8,4,5,3,2,6,7]=>[3,6,5,4,7,8,1,2]
[7,8,5,4,3,1,6,2]=>[8,6,5,4,3,1,7,2]
[7,1,6,3,4,2,5,8]=>[4,6,5,7,2,3,1,8]
[6,8,7,1,4,2,5,3]=>[8,6,4,1,5,7,3,2]
[3,6,1,4,2,7,5,8]=>[1,4,7,3,5,2,6,8]
[3,4,1,8,5,7,6,2]=>[8,1,2,5,7,6,3,4]
[3,6,5,1,2,8,4,7]=>[7,8,1,4,3,2,5,6]
[3,8,5,6,7,2,1,4]=>[3,7,6,1,4,8,5,2]
[8,1,7,6,2,4,3,5]=>[7,5,6,8,4,2,3,1]
[8,5,6,1,4,2,3,7]=>[6,7,4,2,5,3,8,1]
[8,6,5,4,7,1,3,2]=>[8,6,4,3,2,7,5,1]
[1,6,4,5,7,2,3,8]=>[3,6,4,2,7,1,5,8]
[8,3,6,1,7,2,4,5]=>[2,6,7,8,4,3,5,1]
[1,8,6,5,7,3,4,2]=>[6,4,3,8,7,5,1,2]
[1,7,5,3,6,8,4,2]=>[5,3,8,4,2,7,1,6]
[7,4,1,6,5,8,3,2]=>[2,5,4,8,7,3,1,6]
[4,1,5,8,7,6,3,2]=>[8,1,7,3,6,5,2,4]
[1,2,5,8,6,7,3,4]=>[7,3,5,8,6,1,2,4]
[4,2,1,5,8,7,3,6]=>[7,1,8,2,4,6,3,5]
[5,2,4,6,1,7,3,8]=>[3,7,2,1,5,4,6,8]
[1,5,3,6,8,7,4,2]=>[2,8,4,7,3,6,1,5]
[3,5,4,6,1,8,2,7]=>[3,1,2,7,4,8,5,6]
[3,1,5,7,6,8,2,4]=>[7,1,3,5,4,8,2,6]
[1,4,5,6,8,7,2,3]=>[2,3,4,7,8,6,1,5]
[1,4,6,3,7,2,8,5]=>[8,2,4,3,6,1,5,7]
[1,7,3,6,5,2,8,4]=>[8,6,3,5,4,1,2,7]
[8,6,2,5,4,1,7,3]=>[8,6,3,5,4,2,7,1]
[3,7,2,6,5,4,1,8]=>[7,6,1,3,5,4,2,8]
[7,6,2,5,4,3,1,8]=>[7,6,3,5,4,2,1,8]
[4,7,5,2,6,3,1,8]=>[7,1,4,3,6,5,2,8]
[3,2,6,4,7,5,1,8]=>[7,1,4,2,3,6,5,8]
[6,2,3,7,5,4,1,8]=>[7,6,2,3,1,5,4,8]
[1,3,4,7,6,2,8,5]=>[8,6,2,3,5,1,4,7]
[2,8,3,6,1,7,5,4]=>[8,7,3,5,1,4,6,2]
[8,7,2,5,1,6,4,3]=>[8,7,3,5,4,6,2,1]
[3,8,2,6,5,1,7,4]=>[8,6,1,3,5,4,7,2]
[7,8,2,5,4,1,6,3]=>[8,6,3,5,4,1,7,2]
[4,8,5,2,6,1,7,3]=>[8,1,4,3,6,5,7,2]
[4,5,1,3,7,2,8,6]=>[1,8,4,2,6,3,5,7]
[6,1,3,7,5,2,8,4]=>[8,6,3,5,2,1,4,7]
[7,1,3,6,2,8,5,4]=>[8,7,3,5,2,4,1,6]
[8,1,3,6,2,7,5,4]=>[8,7,3,5,2,4,6,1]
[1,2,4,7,3,8,6,5]=>[8,7,3,5,1,2,4,6]
[7,1,8,2,6,5,4,3]=>[8,7,6,4,5,2,1,3]
[3,1,8,6,2,7,5,4]=>[8,7,1,5,4,6,2,3]
[4,1,7,8,2,6,5,3]=>[8,1,7,5,3,6,2,4]
[5,6,1,8,2,7,4,3]=>[1,8,7,5,2,6,3,4]
[4,2,7,8,1,6,5,3]=>[8,1,7,5,2,3,6,4]
[3,2,8,6,1,7,5,4]=>[8,7,1,5,2,4,6,3]
[7,2,8,1,6,5,4,3]=>[8,7,6,2,4,1,5,3]
[1,8,7,2,6,5,4,3]=>[8,7,6,4,5,3,1,2]
[2,8,7,1,6,5,4,3]=>[8,7,6,4,5,1,3,2]
[3,8,7,1,6,5,4,2]=>[8,7,6,1,4,5,3,2]
[4,8,7,5,1,6,3,2]=>[8,7,1,5,4,6,3,2]
[6,7,8,5,1,4,3,2]=>[1,8,7,5,2,6,4,3]
[5,6,3,8,4,1,7,2]=>[1,8,3,2,6,5,7,4]
[7,3,8,5,4,1,6,2]=>[8,6,2,5,4,1,7,3]
[3,4,8,6,5,1,7,2]=>[8,6,1,2,5,4,7,3]
[8,3,7,5,1,6,4,2]=>[8,7,2,5,4,6,3,1]
[1,4,8,6,2,7,5,3]=>[8,7,2,5,4,6,1,3]
[8,4,6,7,1,5,3,2]=>[8,2,7,5,3,6,4,1]
[5,6,4,7,8,1,3,2]=>[1,3,2,8,6,4,7,5]
[3,4,6,5,1,2,8,7]=>[8,1,2,5,4,3,6,7]
[7,3,5,1,2,8,6,4]=>[8,2,7,4,3,5,1,6]
[1,4,6,2,3,8,7,5]=>[8,2,7,4,1,3,5,6]
[1,3,2,7,4,8,6,5]=>[8,7,2,5,1,3,4,6]
[7,2,1,6,3,8,5,4]=>[8,7,2,5,3,4,1,6]
[2,3,1,7,6,4,8,5]=>[8,6,1,2,5,3,4,7]
[4,5,2,1,7,3,8,6]=>[1,8,3,2,6,4,5,7]
[5,6,7,1,2,8,4,3]=>[1,8,7,4,2,5,3,6]
[4,7,5,1,2,8,6,3]=>[8,1,7,4,3,5,2,6]
[3,7,1,6,2,8,5,4]=>[8,7,1,5,3,4,2,6]
[7,6,1,2,8,5,4,3]=>[8,7,6,3,4,2,1,5]
[2,7,1,3,8,6,5,4]=>[8,7,6,1,3,4,2,5]
[8,6,1,2,7,5,4,3]=>[8,7,6,3,4,2,5,1]
[1,7,2,3,8,6,5,4]=>[8,7,6,3,4,1,2,5]
[8,7,1,2,6,5,4,3]=>[8,7,6,3,4,5,2,1]
[7,8,1,2,6,5,4,3]=>[8,7,6,3,4,1,5,2]
[3,8,1,6,2,7,5,4]=>[8,7,1,5,3,4,6,2]
[4,8,5,1,2,7,6,3]=>[8,1,7,4,3,5,6,2]
[5,6,8,1,2,7,4,3]=>[1,8,7,4,2,5,6,3]
[2,1,3,7,4,8,6,5]=>[8,7,1,5,2,3,4,6]
[4,2,7,3,6,8,1,5]=>[1,7,4,5,2,3,8,6]
[5,3,6,4,2,8,1,7]=>[5,2,1,4,3,7,8,6]
[4,1,5,3,8,2,7,6]=>[3,1,8,4,6,7,2,5]
[5,2,6,4,7,3,1,8]=>[4,3,1,7,2,6,5,8]
[2,6,3,4,7,5,1,8]=>[7,3,4,1,2,6,5,8]
[2,6,3,5,4,8,1,7]=>[5,3,4,1,2,7,8,6]
[2,7,4,3,5,8,1,6]=>[4,3,5,7,1,2,8,6]
[7,3,6,4,2,8,1,5]=>[5,2,4,7,3,1,8,6]
[7,6,4,5,2,8,1,3]=>[5,3,7,4,2,1,8,6]
[5,4,3,1,8,2,7,6]=>[3,2,1,8,6,7,4,5]
[6,5,4,2,7,3,1,8]=>[7,4,3,2,1,6,5,8]
[5,4,1,7,2,6,3,8]=>[7,5,2,1,6,3,4,8]
[5,4,1,8,3,2,6,7]=>[6,5,2,1,7,8,3,4]
[6,5,2,8,3,4,7,1]=>[5,6,2,1,8,3,7,4]
[7,4,2,1,8,3,6,5]=>[8,3,2,6,7,4,1,5]
[6,5,3,4,8,2,7,1]=>[3,4,2,1,6,8,7,5]
[6,1,5,3,8,2,7,4]=>[8,4,3,6,1,7,2,5]
[4,6,3,1,8,2,7,5]=>[1,3,8,6,2,7,4,5]
[5,8,4,2,7,3,1,6]=>[1,7,4,3,6,8,5,2]
[8,2,6,4,7,3,1,5]=>[4,7,6,2,3,8,5,1]
[8,6,2,5,7,4,1,3]=>[7,4,8,3,2,6,5,1]
[8,5,3,2,6,4,1,7]=>[3,7,4,2,6,5,8,1]
[8,3,1,7,2,5,4,6]=>[2,7,5,6,8,3,4,1]
[7,5,2,6,4,3,1,8]=>[7,6,3,2,5,4,1,8]
[7,1,6,2,5,4,3,8]=>[7,6,4,5,2,3,1,8]
[8,1,7,3,5,6,4,2]=>[5,8,4,7,6,2,3,1]
[8,6,1,7,4,5,2,3]=>[7,5,8,6,3,2,4,1]
[8,1,3,7,2,6,5,4]=>[8,7,3,5,6,2,4,1]
[1,7,6,8,3,2,4,5]=>[6,5,7,3,2,8,1,4]
[7,1,5,8,4,2,6,3]=>[3,8,6,5,7,2,1,4]
[7,3,8,4,5,2,6,1]=>[4,6,2,5,1,8,7,3]
[7,2,8,5,3,4,6,1]=>[5,6,4,8,2,1,7,3]
[6,1,8,4,3,2,5,7]=>[6,5,4,7,1,8,2,3]
[6,1,7,4,2,5,3,8]=>[7,5,4,6,2,1,3,8]
[1,2,7,3,4,6,5,8]=>[7,4,5,6,1,2,3,8]
[1,7,8,4,3,5,6,2]=>[5,4,6,2,8,7,1,3]
[1,6,2,8,3,5,7,4]=>[6,8,5,2,7,1,3,4]
[2,6,1,7,3,5,4,8]=>[7,5,6,1,3,2,4,8]
[3,1,5,8,4,2,6,7]=>[1,3,6,5,7,8,2,4]
[4,3,1,6,8,2,7,5]=>[2,1,4,8,6,7,3,5]
[5,7,4,8,3,2,1,6]=>[1,3,7,6,5,2,8,4]
[5,4,8,2,7,3,1,6]=>[2,1,7,4,6,8,5,3]
[5,2,8,7,3,4,1,6]=>[5,1,7,6,8,2,4,3]
[6,4,7,5,3,2,1,8]=>[7,2,1,6,5,4,3,8]
[1,8,3,7,6,2,4,5]=>[6,7,8,3,5,4,1,2]
[5,8,3,2,6,4,1,7]=>[3,1,7,4,6,5,8,2]
[6,8,2,4,7,5,1,3]=>[4,7,1,8,3,6,5,2]
[7,3,8,2,6,4,1,5]=>[7,2,4,6,1,8,5,3]
[4,6,8,2,7,3,1,5]=>[7,1,4,2,6,8,5,3]
[2,6,8,7,3,4,1,5]=>[5,2,7,6,8,1,4,3]
[7,2,8,6,3,5,1,4]=>[5,7,8,6,2,1,4,3]
[6,8,1,7,2,5,4,3]=>[8,7,5,1,6,3,4,2]
[3,8,7,4,5,6,1,2]=>[4,7,5,8,1,6,3,2]
[2,8,6,4,3,5,1,7]=>[5,4,7,6,1,3,8,2]
[2,7,6,3,5,4,1,8]=>[7,4,6,5,1,3,2,8]
[1,7,6,5,2,4,3,8]=>[7,5,6,4,3,1,2,8]
[1,8,6,5,3,2,4,7]=>[6,5,7,4,3,8,1,2]
[3,8,7,4,6,2,5,1]=>[4,6,8,7,1,5,3,2]
[5,8,3,7,6,2,4,1]=>[1,6,8,3,7,5,4,2]
[7,1,8,6,5,2,3,4]=>[6,7,8,5,4,2,1,3]
[8,4,7,5,3,2,1,6]=>[7,2,6,5,4,8,3,1]
[8,7,2,5,4,3,1,6]=>[7,6,3,5,4,8,2,1]
[6,8,3,2,5,4,7,1]=>[3,6,4,1,5,8,7,2]
[6,8,4,5,2,3,7,1]=>[5,3,1,6,4,8,7,2]
[1,5,7,8,4,3,6,2]=>[6,2,5,3,8,7,1,4]
[6,3,8,1,5,4,7,2]=>[6,2,5,1,8,4,7,3]
[6,2,1,8,5,4,7,3]=>[6,5,8,2,1,7,3,4]
[2,6,3,1,7,5,4,8]=>[7,3,6,1,4,2,5,8]
[2,6,5,7,4,1,3,8]=>[6,3,2,7,1,5,4,8]
[2,5,6,8,4,3,7,1]=>[2,3,6,5,8,1,7,4]
[2,4,7,5,8,1,6,3]=>[4,8,2,6,1,3,7,5]
[2,5,4,7,1,8,6,3]=>[2,8,3,7,1,5,4,6]
[5,2,1,8,7,6,4,3]=>[1,8,7,6,2,5,3,4]
[4,8,5,7,6,1,3,2]=>[3,8,1,6,7,5,4,2]
[4,8,6,7,5,3,1,2]=>[7,3,8,1,6,5,4,2]
[4,8,7,5,6,2,3,1]=>[6,4,8,1,7,5,3,2]
[6,5,4,8,2,1,7,3]=>[5,3,2,1,8,6,7,4]
[5,8,4,7,2,6,3,1]=>[1,3,8,5,7,6,4,2]
[1,5,7,4,8,2,6,3]=>[2,4,8,6,3,7,1,5]
[1,5,7,3,2,8,6,4]=>[2,8,4,7,5,1,3,6]
[5,8,3,2,7,6,4,1]=>[1,8,3,7,4,6,5,2]
[5,2,1,4,3,6,7,8]=>[2,5,3,4,1,6,7,8]
[3,5,7,4,2,6,1,8]=>[2,5,1,4,7,6,3,8]
[3,6,4,5,1,2,7,8]=>[5,1,3,6,4,2,7,8]
[4,2,1,6,5,3,7,8]=>[6,2,1,5,3,4,7,8]
[4,2,1,5,7,6,3,8]=>[7,2,1,4,6,3,5,8]
[4,3,5,1,7,6,2,8]=>[2,1,3,7,6,4,5,8]
[3,5,4,7,1,6,2,8]=>[3,1,2,7,5,6,4,8]
[3,4,7,5,6,1,2,8]=>[6,1,2,4,7,5,3,8]
[3,4,5,8,6,7,1,2]=>[7,1,2,3,5,8,6,4]
[3,5,4,6,1,8,7,2]=>[3,1,2,4,8,7,5,6]
[4,3,5,1,6,8,7,2]=>[2,1,3,8,5,7,4,6]
[4,2,1,5,6,8,7,3]=>[8,2,1,4,5,7,3,6]
[2,1,7,3,8,4,6,5]=>[8,6,7,1,4,2,3,5]
[4,1,8,2,7,3,6,5]=>[1,8,6,7,4,5,2,3]
[4,1,7,2,8,3,6,5]=>[1,8,6,7,4,2,3,5]
[7,1,3,2,8,4,6,5]=>[8,3,6,7,2,4,1,5]
[7,1,8,2,4,3,6,5]=>[5,8,4,6,7,2,1,3]
[8,1,7,2,5,3,6,4]=>[8,6,4,5,7,2,3,1]
[7,1,5,2,8,3,6,4]=>[8,6,3,7,2,4,1,5]
[5,1,7,2,8,3,6,4]=>[8,6,1,7,4,2,3,5]
[5,1,8,2,7,3,6,4]=>[8,6,1,7,4,5,2,3]
[5,1,8,2,4,3,7,6]=>[5,8,4,1,6,7,2,3]
[8,1,6,2,4,3,7,5]=>[5,8,4,6,2,3,7,1]
[6,1,8,2,4,3,7,5]=>[5,8,4,6,1,7,2,3]
[6,1,8,2,5,3,7,4]=>[8,6,4,5,1,7,2,3]
[8,1,6,2,5,3,7,4]=>[8,6,4,5,2,3,7,1]
[8,1,6,2,7,3,5,4]=>[8,6,7,4,2,3,5,1]
[6,1,8,2,7,3,5,4]=>[8,6,7,4,1,5,2,3]
[6,1,7,2,8,3,5,4]=>[8,6,7,4,2,1,3,5]
[6,1,7,2,5,3,8,4]=>[8,6,4,5,2,1,3,7]
[6,1,7,2,4,3,8,5]=>[5,8,4,6,2,1,3,7]
[5,1,6,2,4,3,8,7]=>[5,8,4,2,1,3,6,7]
[7,1,5,2,4,3,8,6]=>[5,8,4,2,3,6,1,7]
[7,1,6,2,4,3,8,5]=>[5,8,4,6,2,3,1,7]
[7,1,6,2,5,3,8,4]=>[8,6,4,5,2,3,1,7]
[7,1,6,2,8,3,5,4]=>[8,6,7,4,2,3,1,5]
[7,1,8,2,6,3,5,4]=>[8,6,7,4,5,2,1,3]
[1,8,2,7,5,4,6,3]=>[6,5,8,7,3,4,1,2]
[1,8,2,7,4,3,5,6]=>[6,5,7,8,3,4,1,2]
[1,8,6,4,7,2,3,5]=>[6,4,7,3,8,5,1,2]
[1,8,4,2,6,3,5,7]=>[6,3,7,4,5,8,1,2]
[7,4,8,1,5,2,3,6]=>[6,2,7,4,5,1,8,3]
[4,1,7,2,6,3,5,8]=>[6,1,7,4,5,2,3,8]
[5,1,7,4,3,6,2,8]=>[5,4,1,7,6,2,3,8]
[7,5,8,3,2,4,1,6]=>[5,4,2,7,6,1,8,3]
[1,8,5,4,3,6,2,7]=>[5,4,3,7,6,8,1,2]
[1,8,5,4,3,7,2,6]=>[5,4,3,7,8,6,1,2]
[1,8,5,4,7,2,6,3]=>[4,3,8,6,7,5,1,2]
[1,8,4,2,5,3,7,6]=>[5,3,8,4,6,7,1,2]
[1,8,5,4,2,6,7,3]=>[6,4,3,8,5,7,1,2]
[7,4,8,2,1,3,5,6]=>[5,4,2,6,7,1,8,3]
[4,1,7,3,2,5,6,8]=>[5,4,1,6,7,2,3,8]
[7,5,4,8,2,3,6,1]=>[5,3,2,6,1,8,7,4]
[6,4,8,2,1,3,7,5]=>[4,2,8,5,1,6,7,3]
[7,3,8,1,5,6,2,4]=>[7,2,5,8,4,1,6,3]
[3,1,7,2,6,8,4,5]=>[7,1,5,8,4,2,3,6]
[5,1,7,4,2,6,8,3]=>[6,4,1,8,5,2,3,7]
[4,1,6,3,2,5,8,7]=>[4,1,8,5,2,3,6,7]
[5,4,3,7,1,2,8,6]=>[3,2,1,8,5,6,4,7]
[4,3,1,6,2,5,7,8]=>[5,2,1,6,3,4,7,8]
[6,5,4,3,7,1,8,2]=>[4,3,2,1,8,6,5,7]
[5,4,2,7,1,6,8,3]=>[6,2,1,8,3,5,4,7]
[6,5,1,7,3,8,2,4]=>[5,7,4,2,1,8,3,6]
[6,3,2,8,5,7,1,4]=>[7,2,5,1,8,3,6,4]
[6,5,4,2,8,3,7,1]=>[6,3,2,1,8,4,7,5]
[6,5,4,3,8,2,7,1]=>[4,3,2,1,6,8,7,5]
[6,5,4,3,8,7,1,2]=>[4,3,2,1,7,8,6,5]
[7,5,4,8,6,1,3,2]=>[3,2,8,6,1,7,5,4]
[7,6,3,8,5,4,1,2]=>[7,8,3,2,1,6,5,4]
[6,3,8,1,7,5,2,4]=>[7,8,2,1,6,4,5,3]
[6,5,8,3,1,7,4,2]=>[4,2,1,8,7,5,6,3]
[5,4,8,2,1,7,3,6]=>[4,2,1,7,8,5,6,3]
[5,4,3,8,1,6,2,7]=>[3,2,1,7,5,6,8,4]
[5,4,3,7,1,6,2,8]=>[3,2,1,7,5,6,4,8]
[6,4,2,8,5,1,3,7]=>[6,2,7,3,1,5,8,4]
[7,6,4,8,5,1,2,3]=>[6,3,7,2,1,8,5,4]
[7,2,8,6,3,1,4,5]=>[6,5,7,8,2,1,4,3]
[7,2,8,6,1,5,3,4]=>[7,8,5,6,2,1,4,3]
[2,1,7,8,3,6,4,5]=>[7,8,5,1,3,6,2,4]
[6,4,1,7,8,2,3,5]=>[6,2,7,4,1,8,3,5]
[4,2,1,6,7,3,5,8]=>[6,2,1,4,7,3,5,8]
[4,3,1,5,2,7,6,8]=>[4,2,1,7,3,5,6,8]
[5,4,2,7,3,8,1,6]=>[5,2,1,7,3,4,8,6]
[4,1,5,3,2,8,6,7]=>[4,3,1,7,8,2,5,6]
[3,1,6,2,8,7,4,5]=>[7,1,3,8,6,2,4,5]
[6,3,1,7,8,5,2,4]=>[7,2,4,1,8,6,3,5]
[5,4,1,7,8,2,6,3]=>[2,1,8,6,4,7,3,5]
[5,4,2,6,1,8,7,3]=>[4,2,1,8,3,7,5,6]
[6,5,4,1,7,8,3,2]=>[5,3,2,1,8,7,4,6]
[5,4,3,1,6,7,2,8]=>[5,3,2,1,7,4,6,8]
[6,5,4,2,7,8,3,1]=>[5,3,2,1,8,4,7,6]
[5,4,2,6,3,8,7,1]=>[4,2,1,8,3,5,7,6]
[4,3,1,5,2,6,8,7]=>[4,2,1,8,3,5,6,7]
[5,4,2,1,6,7,8,3]=>[3,5,2,1,6,8,4,7]
[5,4,3,1,6,7,8,2]=>[5,3,2,1,6,8,4,7]
[6,3,8,1,2,5,7,4]=>[2,6,8,4,1,5,7,3]
[3,6,7,1,2,5,8,4]=>[6,8,1,4,2,5,3,7]
[7,8,3,1,2,5,6,4]=>[6,3,8,4,5,1,7,2]
[7,8,1,3,2,4,6,5]=>[4,8,3,5,6,1,7,2]
[7,8,2,1,3,5,4,6]=>[3,7,4,5,6,1,8,2]
[5,2,3,7,1,8,6,4]=>[8,7,2,1,3,5,4,6]
[2,5,3,6,1,8,7,4]=>[4,2,8,1,3,7,5,6]
[2,6,7,3,1,8,4,5]=>[4,7,2,8,1,5,3,6]
[2,6,7,1,3,5,4,8]=>[7,4,5,1,2,6,3,8]
[6,2,8,3,1,7,4,5]=>[4,7,8,2,1,5,6,3]
[3,2,5,7,1,8,4,6]=>[1,3,7,8,2,5,4,6]
[4,3,1,2,7,8,6,5]=>[2,1,5,8,7,3,4,6]
[5,1,2,7,3,6,4,8]=>[7,5,6,2,1,3,4,8]
[5,1,4,7,8,2,3,6]=>[3,6,1,7,4,8,2,5]
[5,3,4,7,8,6,1,2]=>[7,2,1,3,4,8,6,5]
[3,5,4,6,8,7,1,2]=>[3,1,2,4,7,8,6,5]
[1,5,4,6,8,2,3,7]=>[3,2,6,4,7,8,1,5]
[1,6,7,3,2,4,8,5]=>[4,8,5,2,6,1,3,7]
[1,5,3,6,2,7,8,4]=>[6,3,2,4,8,1,5,7]
[5,1,3,7,2,6,8,4]=>[6,8,3,1,5,2,4,7]
[5,2,4,7,8,1,6,3]=>[8,3,1,6,2,4,7,5]
[4,2,5,7,6,1,8,3]=>[1,8,3,6,2,5,4,7]
[4,5,2,8,6,1,7,3]=>[1,2,8,6,3,5,7,4]
[5,3,1,8,2,6,7,4]=>[2,6,1,8,5,7,3,4]
[6,1,8,3,2,4,7,5]=>[4,8,5,6,1,7,2,3]
[4,3,5,7,6,8,1,2]=>[1,7,2,3,5,4,8,6]
[4,1,5,7,6,2,3,8]=>[3,1,6,7,5,2,4,8]
[4,5,1,8,6,2,3,7]=>[1,6,2,7,5,8,3,4]
[5,2,1,8,3,6,4,7]=>[7,2,5,1,6,8,3,4]
[3,4,2,1,8,7,5,6]=>[1,2,7,8,3,6,4,5]
[7,6,5,4,2,1,8,3]=>[5,8,6,4,3,2,1,7]
[7,6,5,4,8,1,3,2]=>[8,6,4,3,2,1,7,5]
[7,6,5,8,2,1,4,3]=>[5,8,6,3,2,1,7,4]
[8,5,4,3,2,1,7,6]=>[5,4,3,2,8,6,7,1]
[7,6,5,4,1,8,3,2]=>[8,7,5,4,3,2,1,6]
[7,6,5,2,8,1,4,3]=>[8,4,6,3,2,1,7,5]
[7,6,5,8,4,1,3,2]=>[8,6,3,2,1,7,5,4]
[7,6,8,5,2,1,4,3]=>[5,8,6,2,1,7,4,3]
[7,8,6,3,2,1,5,4]=>[5,4,8,6,1,7,3,2]
[8,7,4,3,2,1,6,5]=>[5,4,3,8,6,7,2,1]
[7,8,2,4,5,1,3,6]=>[6,3,4,7,5,1,8,2]
[4,6,7,2,5,1,3,8]=>[1,4,6,2,7,5,3,8]
[7,8,1,3,2,4,5,6]=>[5,3,4,6,7,1,8,2]
[7,8,4,1,5,2,3,6]=>[6,7,4,3,5,1,8,2]
[3,6,7,2,1,4,5,8]=>[5,1,4,6,2,7,3,8]
[5,2,3,6,1,4,7,8]=>[2,3,5,1,6,4,7,8]
[2,5,3,6,1,4,7,8]=>[3,5,1,2,6,4,7,8]
[2,6,7,3,1,4,5,8]=>[5,4,6,1,2,7,3,8]
[4,6,7,1,5,2,3,8]=>[1,6,7,4,2,5,3,8]
[4,6,7,3,5,8,1,2]=>[4,1,2,7,5,3,8,6]
[6,4,7,1,5,2,3,8]=>[6,2,7,4,1,5,3,8]
[6,2,7,3,1,4,5,8]=>[5,2,4,6,1,7,3,8]
[3,2,5,6,1,4,7,8]=>[1,5,2,3,6,4,7,8]
[3,5,2,6,1,4,7,8]=>[1,3,5,2,6,4,7,8]
[5,1,4,6,7,2,3,8]=>[3,6,4,1,7,2,5,8]
[3,5,4,6,7,8,1,2]=>[3,1,2,4,7,5,8,6]
[1,5,4,6,7,2,3,8]=>[3,2,6,4,7,1,5,8]
[1,6,7,3,2,4,5,8]=>[5,4,6,2,7,1,3,8]
[1,5,3,6,2,4,7,8]=>[3,5,2,6,1,4,7,8]
[5,1,3,6,2,4,7,8]=>[3,5,6,2,1,4,7,8]
[5,2,4,6,7,1,3,8]=>[3,6,2,1,4,7,5,8]
[2,5,4,6,7,1,3,8]=>[3,2,6,1,4,7,5,8]
[2,6,7,4,5,1,3,8]=>[6,4,2,7,1,5,3,8]
[6,2,7,4,5,1,3,8]=>[6,4,7,2,1,5,3,8]
[4,2,5,6,7,1,3,8]=>[3,1,6,2,4,7,5,8]
[4,5,2,6,7,1,3,8]=>[1,6,3,2,4,7,5,8]
[5,3,1,6,2,4,7,8]=>[5,2,6,3,1,4,7,8]
[6,1,7,3,2,4,5,8]=>[5,4,6,7,2,1,3,8]
[6,1,7,4,5,2,3,8]=>[6,4,7,5,2,1,3,8]
[6,3,7,4,5,8,1,2]=>[4,7,2,1,5,3,8,6]
[5,4,1,6,7,2,3,8]=>[6,4,2,1,7,3,5,8]
[5,2,1,6,3,4,7,8]=>[2,5,6,3,1,4,7,8]
[7,3,2,5,4,1,6,8]=>[2,6,3,5,4,7,1,8]
[7,3,5,4,2,1,6,8]=>[6,2,5,4,3,7,1,8]
[7,3,5,2,4,1,6,8]=>[2,4,6,5,3,7,1,8]
[7,6,5,2,1,4,3,8]=>[4,7,5,6,3,2,1,8]
[1,3,6,7,5,2,8,4]=>[3,8,6,2,5,1,4,7]
[7,3,4,1,6,2,5,8]=>[2,6,3,7,4,5,1,8]
[7,3,4,1,6,5,2,8]=>[2,3,7,6,4,5,1,8]
[7,3,4,1,5,6,2,8]=>[2,5,3,7,4,6,1,8]
[7,3,2,5,1,6,4,8]=>[2,7,3,5,4,6,1,8]
[7,6,5,4,1,3,2,8]=>[7,5,6,4,3,2,1,8]
[7,3,4,1,5,2,6,8]=>[2,6,4,3,5,7,1,8]
[1,3,6,7,2,5,8,4]=>[6,3,8,2,5,1,4,7]
[1,7,4,6,2,8,5,3]=>[8,3,7,5,4,1,2,6]
[4,3,1,7,2,6,8,5]=>[2,1,6,8,5,3,4,7]
[5,6,1,4,7,3,8,2]=>[4,1,6,5,2,8,3,7]
[5,3,2,1,7,4,8,6]=>[2,8,3,1,6,4,5,7]
[1,3,4,5,8,7,2,6]=>[7,8,2,3,4,6,1,5]
[6,3,4,5,8,1,7,2]=>[2,3,4,1,8,6,7,5]
[2,4,5,1,6,8,7,3]=>[2,3,8,1,5,7,4,6]
[3,1,2,5,6,8,7,4]=>[1,8,4,5,7,2,3,6]
[4,3,2,5,6,8,1,7]=>[3,2,1,4,5,7,8,6]
[3,7,5,4,6,8,1,2]=>[4,3,7,1,5,2,8,6]
[3,1,4,6,5,8,2,7]=>[1,5,3,4,7,8,2,6]
[2,3,4,5,8,6,1,7]=>[7,1,2,3,4,6,8,5]
[2,3,4,5,8,1,7,6]=>[8,1,2,3,4,6,7,5]
[3,1,4,6,5,8,7,2]=>[1,4,8,3,5,7,2,6]
[3,7,5,4,6,8,2,1]=>[4,3,5,1,2,8,7,6]
[5,6,1,4,7,2,8,3]=>[4,1,8,6,3,2,5,7]
[4,3,1,7,5,6,8,2]=>[2,1,5,6,4,8,3,7]
[4,3,1,7,6,5,8,2]=>[1,6,2,5,4,8,3,7]
[3,1,4,6,7,8,5,2]=>[1,4,5,8,3,7,2,6]
[1,4,5,2,6,8,7,3]=>[2,3,8,5,7,1,4,6]
[3,7,5,2,6,8,1,4]=>[7,4,1,3,5,2,8,6]
[3,7,5,2,6,8,4,1]=>[5,3,8,1,4,2,7,6]
[5,6,1,2,7,4,8,3]=>[6,5,1,8,3,2,4,7]
[6,3,5,2,4,7,8,1]=>[2,4,5,3,1,6,8,7]
[5,3,2,1,4,7,8,6]=>[3,2,6,1,8,4,5,7]
[5,3,1,4,2,7,8,6]=>[4,2,6,1,8,3,5,7]
[5,3,1,2,4,7,8,6]=>[6,2,8,3,1,4,5,7]
[7,1,5,2,6,8,4,3]=>[5,3,8,7,2,4,1,6]
[7,1,5,2,6,8,3,4]=>[7,5,3,8,2,4,1,6]
[1,7,4,6,5,8,3,2]=>[5,3,4,2,8,7,1,6]
[2,7,4,6,1,8,3,5]=>[3,7,8,5,1,4,2,6]
[2,7,4,6,1,8,5,3]=>[8,3,7,5,1,4,2,6]
[2,3,6,7,1,5,8,4]=>[6,3,8,1,2,5,4,7]
[2,3,6,7,5,1,8,4]=>[3,8,6,1,2,5,4,7]
[4,3,2,6,7,1,8,5]=>[2,1,4,8,3,6,5,7]
[7,3,2,5,6,8,1,4]=>[2,4,7,3,5,1,8,6]
[7,1,5,4,6,8,2,3]=>[4,3,7,5,8,2,1,6]
[2,7,4,6,5,8,1,3]=>[7,3,5,4,1,2,8,6]
[7,3,4,5,8,6,1,2]=>[2,3,4,7,1,8,6,5]
[7,3,4,5,8,1,6,2]=>[2,3,4,8,6,1,7,5]
[7,3,4,5,8,1,2,6]=>[2,3,6,4,7,1,8,5]
[1,3,4,5,8,6,2,7]=>[7,2,3,4,6,8,1,5]
[1,3,4,5,8,2,7,6]=>[8,2,3,4,6,7,1,5]
[6,3,4,5,8,2,1,7]=>[2,3,4,1,7,6,8,5]
[6,3,4,5,8,2,7,1]=>[2,3,4,1,6,8,7,5]
[7,3,4,5,8,6,2,1]=>[8,2,3,4,1,7,6,5]
[2,7,4,6,5,8,3,1]=>[5,3,4,2,8,1,7,6]
[7,1,5,4,6,8,3,2]=>[4,3,5,8,7,2,1,6]
[7,3,2,5,6,8,4,1]=>[2,4,5,8,3,1,7,6]
[5,7,4,6,1,8,3,2]=>[1,3,8,7,5,4,2,6]
[6,3,4,5,8,1,2,7]=>[2,3,6,4,1,7,8,5]
[7,3,4,5,8,2,1,6]=>[2,3,4,7,6,1,8,5]
[7,3,4,5,8,2,6,1]=>[2,3,4,6,1,8,7,5]
[4,7,6,1,8,2,5,3]=>[8,1,6,7,4,3,2,5]
[4,8,6,1,7,5,2,3]=>[7,8,1,6,4,3,5,2]
[4,7,8,2,6,1,5,3]=>[8,1,4,6,2,7,5,3]
[7,6,4,2,8,3,5,1]=>[6,3,8,4,2,1,7,5]
[8,6,4,2,7,5,3,1]=>[3,8,7,4,2,6,5,1]
[8,4,7,3,6,5,1,2]=>[2,4,7,8,6,5,3,1]
[8,4,6,1,7,5,3,2]=>[8,2,7,6,4,3,5,1]
[6,4,7,1,8,3,2,5]=>[2,7,6,1,8,4,3,5]
[7,4,8,3,6,1,5,2]=>[2,4,8,6,1,7,5,3]
[7,8,4,3,6,2,5,1]=>[4,3,6,1,8,7,5,2]
[6,2,1,7,3,5,4,8]=>[7,2,5,6,3,1,4,8]
[2,1,8,6,3,5,4,7]=>[7,5,6,1,4,8,2,3]
[2,1,7,3,5,8,6,4]=>[8,5,7,1,4,2,3,6]
[2,7,3,1,5,4,6,8]=>[3,6,1,4,5,7,2,8]
[2,6,3,1,4,8,5,7]=>[3,7,8,1,4,2,5,6]
[4,2,1,8,3,6,7,5]=>[6,1,8,2,5,7,3,4]
[2,1,8,6,3,5,7,4]=>[6,8,5,1,4,7,2,3]
[6,2,1,7,3,5,8,4]=>[6,8,2,5,3,1,4,7]
[2,7,3,1,4,8,5,6]=>[3,7,8,1,4,5,2,6]
[3,2,1,6,4,5,7,8]=>[2,1,5,6,3,4,7,8]
[3,2,1,5,7,8,4,6]=>[1,7,2,4,5,8,3,6]
[2,1,7,3,6,8,4,5]=>[7,5,8,1,4,2,3,6]
[2,7,3,1,5,6,8,4]=>[3,5,6,8,1,4,2,7]
[2,4,7,5,1,6,8,3]=>[6,2,4,8,1,5,3,7]
[4,3,7,5,6,1,8,2]=>[1,4,8,2,6,5,3,7]
[4,3,6,8,5,1,7,2]=>[1,3,8,2,6,5,7,4]
[2,6,1,8,3,5,7,4]=>[6,8,5,1,2,7,3,4]
[2,1,6,8,3,7,4,5]=>[7,3,8,1,5,6,2,4]
[2,1,8,3,5,7,4,6]=>[5,7,8,1,4,6,2,3]
[3,2,1,5,6,8,4,7]=>[2,1,4,5,7,8,3,6]
[3,2,1,5,7,4,6,8]=>[2,1,4,6,7,3,5,8]
[2,1,7,3,6,4,5,8]=>[6,7,1,4,5,2,3,8]
[2,1,6,3,5,8,4,7]=>[5,7,1,3,8,2,4,6]
[8,2,4,1,7,5,6,3]=>[3,6,8,2,7,4,5,1]
[3,8,4,7,5,1,6,2]=>[8,3,6,1,5,7,4,2]
[8,4,3,6,1,7,5,2]=>[2,8,3,7,5,4,6,1]
[8,2,1,7,3,5,4,6]=>[7,2,5,6,8,3,4,1]
[2,6,1,8,3,5,4,7]=>[7,5,6,1,2,8,3,4]
[2,7,3,1,5,6,4,8]=>[3,5,7,1,4,6,2,8]
[2,4,7,5,1,6,3,8]=>[7,2,5,1,4,6,3,8]
[8,2,4,1,7,5,3,6]=>[3,7,2,6,8,4,5,1]
[5,8,6,3,1,7,4,2]=>[1,4,8,7,5,3,6,2]
[2,4,7,1,8,5,3,6]=>[7,2,6,8,1,4,3,5]
[2,4,8,5,1,6,3,7]=>[7,2,5,1,4,6,8,3]
[6,2,1,7,3,4,8,5]=>[8,2,5,6,3,1,4,7]
[6,2,1,7,8,3,5,4]=>[8,6,2,4,1,7,3,5]
[2,7,1,8,3,5,6,4]=>[6,8,5,7,1,3,2,4]
[2,1,8,3,6,4,5,7]=>[6,7,1,4,5,8,2,3]
[3,2,1,6,7,4,5,8]=>[1,6,2,4,7,3,5,8]
[3,2,1,7,4,5,6,8]=>[2,1,5,6,7,3,4,8]
[3,2,1,6,8,4,5,7]=>[1,6,2,4,7,8,3,5]
[2,1,8,3,7,4,5,6]=>[6,7,8,1,4,5,2,3]
[2,1,8,3,6,7,4,5]=>[7,5,8,1,4,6,2,3]
[2,4,8,5,1,6,7,3]=>[6,2,4,8,1,5,7,3]
[4,3,8,5,6,1,7,2]=>[1,4,8,2,6,5,7,3]
[3,2,1,8,4,5,6,7]=>[2,1,5,6,7,8,3,4]
[1,6,8,3,7,2,4,5]=>[4,6,2,7,8,5,1,3]
[3,8,1,5,7,2,4,6]=>[6,1,4,7,8,3,5,2]
[1,2,6,8,4,7,3,5]=>[5,3,7,8,6,1,2,4]
[6,1,5,8,2,4,7,3]=>[6,3,8,5,1,7,2,4]
[1,2,4,8,3,6,7,5]=>[6,8,3,5,7,1,2,4]
[4,1,2,7,8,3,6,5]=>[1,8,6,4,7,2,3,5]
[3,5,7,4,8,6,1,2]=>[2,4,7,1,3,8,6,5]
[5,3,8,4,7,6,1,2]=>[4,1,7,8,2,6,5,3]
[8,7,1,2,5,4,6,3]=>[6,5,8,3,4,7,2,1]
[5,8,1,2,3,7,6,4]=>[8,7,3,1,4,5,6,2]
[1,2,8,4,3,5,7,6]=>[4,8,5,6,7,1,2,3]
[1,2,5,3,7,6,4,8]=>[3,7,6,1,2,4,5,8]
[6,1,2,8,7,4,5,3]=>[6,8,7,5,2,1,3,4]
[7,1,6,2,8,4,5,3]=>[6,8,7,4,2,3,1,5]
[1,2,6,3,8,5,4,7]=>[7,6,3,8,1,2,4,5]
[1,2,8,5,3,6,4,7]=>[7,5,4,6,8,1,2,3]
[1,2,7,3,8,5,4,6]=>[7,6,8,4,1,2,3,5]
[4,1,2,7,8,6,3,5]=>[1,7,4,8,6,2,3,5]
[1,6,2,8,4,3,5,7]=>[6,5,7,2,8,1,3,4]
[1,6,4,2,7,3,5,8]=>[6,3,7,4,1,2,5,8]
[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,1,2]
[1,7,3,2,8,4,5,6]=>[3,6,7,8,4,1,2,5]
[3,1,7,8,6,2,4,5]=>[6,7,1,3,8,5,2,4]
[1,8,7,2,4,5,6,3]=>[5,6,8,4,7,3,1,2]
[1,8,7,3,5,6,2,4]=>[7,4,5,8,6,3,1,2]
[1,3,2,8,7,4,5,6]=>[6,7,8,2,5,1,3,4]
[1,8,3,2,6,4,5,7]=>[3,6,7,4,5,8,1,2]
[1,7,6,3,2,4,5,8]=>[5,4,6,7,3,1,2,8]
[1,2,8,4,3,7,5,6]=>[4,7,8,5,6,1,2,3]
[8,5,1,7,2,4,6,3]=>[6,8,5,2,7,3,4,1]
[5,3,8,7,4,6,1,2]=>[1,7,5,8,2,6,4,3]
[3,8,6,4,7,5,1,2]=>[4,7,3,8,1,6,5,2]
[6,1,8,2,7,4,5,3]=>[6,8,7,4,1,5,2,3]
[1,2,5,3,8,6,4,7]=>[3,7,6,8,1,2,4,5]
[1,2,7,5,3,6,4,8]=>[7,5,4,6,1,2,3,8]
[1,2,6,3,7,5,4,8]=>[7,6,4,1,2,3,5,8]
[1,2,3,7,5,4,8,6]=>[5,8,6,1,2,3,4,7]
[3,7,4,8,6,5,1,2]=>[7,8,3,1,2,6,5,4]
[1,8,2,7,6,4,5,3]=>[6,8,7,5,3,4,1,2]
[2,8,7,6,5,1,4,3]=>[8,6,7,5,4,1,3,2]
[7,1,6,3,2,5,4,8]=>[4,7,5,6,2,3,1,8]
[2,7,6,3,1,5,8,4]=>[4,6,8,5,1,3,2,7]
[1,8,4,3,6,5,2,7]=>[3,7,4,6,5,8,1,2]
[1,8,4,6,5,3,2,7]=>[7,3,6,5,4,8,1,2]
[7,4,2,1,6,5,3,8]=>[7,3,2,6,4,5,1,8]
[7,6,1,4,3,5,2,8]=>[5,4,7,3,6,2,1,8]
[7,4,1,3,5,2,6,8]=>[4,6,3,2,5,7,1,8]
[7,3,1,2,4,6,5,8]=>[7,3,2,4,5,6,1,8]
[1,8,6,3,4,5,2,7]=>[4,5,7,6,3,8,1,2]
[1,8,6,7,4,2,5,3]=>[8,6,5,3,7,4,1,2]
[3,6,2,1,4,8,5,7]=>[1,3,7,8,4,2,5,6]
[3,1,7,2,4,6,8,5]=>[1,6,8,4,5,2,3,7]
[3,4,7,1,5,2,8,6]=>[1,2,5,8,4,6,3,7]
[3,6,7,4,1,5,8,2]=>[6,4,1,2,8,5,3,7]
[4,3,2,7,1,5,8,6]=>[2,1,8,3,5,6,4,7]
[3,1,2,8,6,5,4,7]=>[7,1,6,5,8,2,3,4]
[5,4,8,6,1,2,3,7]=>[5,2,1,6,7,4,8,3]
[5,6,8,7,4,3,1,2]=>[1,2,7,8,6,5,4,3]
[1,8,2,7,4,3,6,5]=>[5,8,6,7,3,4,1,2]
[6,5,8,2,3,7,1,4]=>[4,5,2,1,7,8,6,3]
[6,4,8,5,3,1,7,2]=>[8,2,1,6,5,4,7,3]
[5,7,8,6,1,3,2,4]=>[1,7,5,6,2,8,4,3]
[2,4,8,1,6,3,7,5]=>[8,2,6,1,4,5,7,3]
[3,1,2,8,6,4,7,5]=>[8,1,6,5,7,2,3,4]
[5,3,2,6,4,8,1,7]=>[2,5,3,1,4,7,8,6]
[4,1,6,3,5,8,2,7]=>[4,1,5,3,7,8,2,6]
[2,4,5,3,8,6,1,7]=>[2,3,7,1,4,6,8,5]
[1,8,5,3,2,7,6,4]=>[8,4,3,7,5,6,1,2]
[1,8,4,5,2,6,7,3]=>[3,6,4,8,5,7,1,2]
[4,1,2,7,6,5,8,3]=>[1,6,5,4,8,2,3,7]
[2,4,1,6,7,8,5,3]=>[2,4,5,8,1,7,3,6]
[1,8,4,3,6,2,7,5]=>[3,8,4,6,5,7,1,2]
[5,6,7,3,2,8,1,4]=>[1,5,4,2,7,3,8,6]
[2,5,7,3,6,8,4,1]=>[2,5,8,4,1,3,7,6]
[5,3,2,1,4,8,6,7]=>[3,2,7,1,8,4,5,6]
[5,3,1,4,2,8,6,7]=>[4,2,7,1,8,3,5,6]
[7,6,1,3,8,5,4,2]=>[8,7,4,6,3,2,1,5]
[3,4,7,8,1,2,6,5]=>[8,1,2,5,6,3,7,4]
[3,6,7,8,1,4,5,2]=>[6,2,8,1,5,3,7,4]
[3,6,2,8,1,5,4,7]=>[7,1,3,5,2,6,8,4]
[2,3,6,8,5,1,4,7]=>[6,3,7,1,2,5,8,4]
[3,1,6,4,8,2,5,7]=>[1,4,6,3,7,8,2,5]
[7,3,2,6,8,5,1,4]=>[7,2,4,8,3,1,6,5]
[7,3,5,8,4,6,1,2]=>[3,7,2,5,1,8,6,4]
[7,5,2,8,4,1,6,3]=>[8,6,3,2,5,1,7,4]
[7,4,5,8,2,1,3,6]=>[2,6,5,3,7,1,8,4]
[1,8,5,2,4,6,3,7]=>[5,7,4,3,6,8,1,2]
[1,8,4,2,3,5,7,6]=>[8,4,3,5,6,7,1,2]
[6,4,2,8,3,5,1,7]=>[5,2,7,3,1,6,8,4]
[6,3,4,8,2,5,7,1]=>[2,3,5,1,6,8,7,4]
[7,5,4,8,3,6,2,1]=>[3,2,5,1,8,7,6,4]
[2,7,4,8,5,3,6,1]=>[6,3,5,2,8,1,7,4]
[7,1,5,4,8,3,6,2]=>[4,3,6,8,7,2,1,5]
[7,3,2,5,8,4,6,1]=>[2,4,6,8,3,1,7,5]
[8,4,6,3,7,2,5,1]=>[2,4,6,3,8,7,5,1]
[7,4,6,3,8,5,1,2]=>[2,4,7,3,1,8,6,5]
[2,5,6,8,3,4,1,7]=>[2,5,3,7,1,6,8,4]
[8,4,6,2,7,5,3,1]=>[8,2,7,4,3,6,5,1]
[8,5,6,7,2,4,3,1]=>[2,8,5,3,7,6,4,1]
[2,5,6,8,4,3,1,7]=>[2,3,7,6,1,5,8,4]
[2,5,7,8,4,1,3,6]=>[2,6,7,5,1,3,8,4]
[6,5,7,8,4,1,3,2]=>[2,1,8,6,3,7,5,4]
[7,5,6,8,2,4,1,3]=>[5,2,7,3,1,8,6,4]
[7,4,6,2,8,5,1,3]=>[2,7,8,4,3,1,6,5]
[4,3,2,6,8,5,1,7]=>[2,1,4,7,3,6,8,5]
[3,5,6,8,2,4,1,7]=>[2,5,1,3,7,6,8,4]
[3,5,6,8,4,2,1,7]=>[2,3,7,1,6,5,8,4]
[2,6,7,8,1,4,5,3]=>[6,2,8,5,1,3,7,4]
[3,6,7,8,1,4,2,5]=>[7,5,1,2,6,3,8,4]
[3,5,7,8,2,1,4,6]=>[2,6,1,5,7,3,8,4]
[2,6,7,8,1,4,3,5]=>[7,5,2,6,1,3,8,4]
[6,5,7,8,3,1,4,2]=>[2,1,8,6,5,3,7,4]
[2,5,7,8,3,1,4,6]=>[2,6,5,7,1,3,8,4]
[2,4,7,3,8,1,5,6]=>[2,4,6,7,1,3,8,5]
[6,4,7,3,8,1,5,2]=>[2,4,1,8,6,3,7,5]
[6,4,7,3,8,1,2,5]=>[2,6,4,1,7,3,8,5]
[7,4,6,3,8,2,1,5]=>[2,4,7,6,3,1,8,5]
[6,3,2,5,4,8,1,7]=>[2,5,3,4,1,7,8,6]
[6,4,5,2,3,8,1,7]=>[4,2,5,3,1,7,8,6]
[6,4,5,3,2,8,1,7]=>[2,5,4,3,1,7,8,6]
[5,4,6,3,8,2,1,7]=>[2,1,4,3,7,6,8,5]
[5,4,7,3,8,1,6,2]=>[2,1,4,8,6,3,7,5]
[2,5,7,8,3,1,6,4]=>[2,5,8,6,1,3,7,4]
[4,5,7,8,3,1,2,6]=>[1,2,6,7,5,3,8,4]
[4,5,6,8,2,3,1,7]=>[1,2,5,3,7,6,8,4]
[5,4,6,2,8,3,1,7]=>[2,1,7,4,3,6,8,5]
[5,3,2,6,8,4,1,7]=>[2,4,1,7,3,6,8,5]
[5,4,7,2,8,1,3,6]=>[4,2,1,6,7,3,8,5]
[4,5,7,8,2,1,3,6]=>[1,2,6,5,7,3,8,4]
[4,6,7,8,1,3,2,5]=>[7,1,5,2,6,3,8,4]
[4,6,7,8,1,3,5,2]=>[6,1,2,8,5,3,7,4]
[2,6,7,8,1,3,5,4]=>[8,5,2,6,1,3,7,4]
[2,6,7,8,1,5,3,4]=>[7,2,8,5,1,3,6,4]
[4,6,7,8,1,5,2,3]=>[7,1,2,8,5,3,6,4]
[4,6,7,8,1,2,5,3]=>[8,1,5,2,6,3,7,4]
[4,5,7,8,2,1,6,3]=>[1,2,5,8,6,3,7,4]
[5,4,7,2,8,1,6,3]=>[2,1,8,4,6,3,7,5]
[5,3,2,7,8,1,6,4]=>[8,2,1,6,3,4,7,5]
[4,3,2,7,8,1,6,5]=>[1,8,2,6,3,4,7,5]
[3,5,7,8,2,1,6,4]=>[2,5,8,1,6,3,7,4]
[3,6,7,8,1,2,5,4]=>[8,5,1,2,6,3,7,4]
[3,6,7,8,1,5,2,4]=>[7,2,8,1,5,3,6,4]
[3,6,7,8,1,5,4,2]=>[2,8,7,1,5,3,6,4]
[2,6,7,8,1,5,4,3]=>[2,8,7,5,1,3,6,4]
[4,2,7,1,5,3,8,6]=>[5,1,8,2,4,6,3,7]
[4,2,8,6,1,5,3,7]=>[1,7,5,6,2,4,8,3]
[3,2,6,7,5,1,4,8]=>[6,1,3,7,2,5,4,8]
[2,7,1,3,5,4,8,6]=>[5,8,1,3,4,6,2,7]
[4,7,2,1,5,8,6,3]=>[1,8,3,5,7,4,2,6]
[7,2,1,3,5,8,6,4]=>[8,2,5,7,3,4,1,6]
[2,3,6,4,7,1,5,8]=>[4,6,1,2,3,7,5,8]
[1,3,4,8,2,7,5,6]=>[7,8,2,3,5,6,1,4]
[3,1,4,8,2,6,7,5]=>[1,6,8,3,5,7,2,4]
[8,3,1,6,2,5,7,4]=>[2,6,8,5,3,4,7,1]
[4,8,6,2,1,5,7,3]=>[1,4,6,8,5,3,7,2]
[4,8,3,6,5,1,7,2]=>[8,1,3,6,5,4,7,2]
[6,4,7,3,5,1,8,2]=>[2,4,1,8,6,5,3,7]
[6,4,7,5,1,8,2,3]=>[2,7,1,8,5,4,3,6]
[3,6,1,7,5,8,2,4]=>[7,5,1,4,2,8,3,6]
[7,3,5,1,6,8,2,4]=>[7,2,5,3,8,4,1,6]
[4,7,3,5,6,1,8,2]=>[1,3,4,8,6,5,2,7]
[3,4,6,8,5,1,7,2]=>[3,8,1,2,6,5,7,4]
[4,6,8,2,1,5,7,3]=>[1,4,6,2,8,5,7,3]
[6,8,2,1,3,5,7,4]=>[3,6,8,4,1,5,7,2]
[1,8,2,3,5,7,4,6]=>[5,7,8,3,4,6,1,2]
[2,7,3,6,1,4,5,8]=>[3,5,6,7,1,4,2,8]
[2,6,1,3,5,8,4,7]=>[5,7,8,1,3,2,4,6]
[7,3,2,5,6,1,4,8]=>[2,6,3,4,7,5,1,8]
[4,7,5,2,6,1,3,8]=>[1,4,6,3,7,5,2,8]
[4,6,2,8,1,5,3,7]=>[1,7,3,5,2,6,8,4]
[8,4,1,2,7,5,3,6]=>[7,6,2,8,3,4,5,1]
[4,5,6,2,7,1,3,8]=>[1,4,2,6,3,7,5,8]
[8,5,1,2,6,3,4,7]=>[6,7,3,4,2,5,8,1]
[1,6,2,7,4,8,3,5]=>[5,7,4,2,8,1,3,6]
[6,2,1,7,8,5,3,4]=>[7,4,8,2,1,6,3,5]
[6,7,3,8,4,1,5,2]=>[8,3,1,6,5,2,7,4]
[2,7,8,4,1,5,6,3]=>[6,4,8,5,1,2,7,3]
[2,7,1,8,5,6,3,4]=>[7,5,8,6,1,3,2,4]
[8,2,5,1,6,7,3,4]=>[7,5,2,3,8,4,6,1]
[8,2,4,5,1,6,7,3]=>[3,6,2,4,8,5,7,1]
[3,8,4,5,6,1,7,2]=>[3,4,8,1,6,5,7,2]
[4,5,8,3,6,7,1,2]=>[1,2,4,7,5,8,6,3]
[4,5,8,3,7,6,1,2]=>[1,2,4,7,8,6,5,3]
[4,2,8,3,7,1,6,5]=>[1,8,4,6,7,2,5,3]
[7,2,3,4,8,1,6,5]=>[8,2,3,4,6,1,7,5]
[7,2,3,4,8,1,5,6]=>[2,3,4,6,7,1,8,5]
[7,6,3,4,8,5,1,2]=>[3,4,7,2,1,8,6,5]
[7,6,3,5,8,4,1,2]=>[7,3,4,2,1,8,6,5]
[7,6,3,8,4,5,1,2]=>[7,3,5,2,1,8,6,4]
[7,2,3,8,5,1,4,6]=>[6,7,2,3,5,1,8,4]
[7,2,3,8,5,1,6,4]=>[8,6,2,3,5,1,7,4]
[2,6,4,8,1,5,7,3]=>[3,6,2,8,1,5,7,4]
[7,2,3,8,4,1,5,6]=>[6,2,3,5,7,1,8,4]
[7,2,3,5,8,1,4,6]=>[6,2,3,4,7,1,8,5]
[7,8,2,3,6,1,4,5]=>[3,4,6,7,1,8,5,2]
[7,8,2,3,6,1,5,4]=>[8,3,4,6,1,7,5,2]
[4,2,6,3,7,1,5,8]=>[4,1,6,2,3,7,5,8]
[7,2,3,5,8,1,6,4]=>[4,8,2,3,6,1,7,5]
[7,2,3,8,4,1,6,5]=>[5,8,2,3,6,1,7,4]
[2,6,4,8,1,3,7,5]=>[3,8,5,1,2,6,7,4]
[3,6,4,8,1,7,5,2]=>[8,3,1,2,7,5,6,4]
[7,6,5,1,2,3,8,4]=>[8,4,5,6,3,2,1,7]
[7,6,5,1,4,2,8,3]=>[8,6,4,5,3,2,1,7]
[2,6,4,5,1,8,7,3]=>[3,4,2,8,1,7,5,6]
[3,5,6,4,1,2,7,8]=>[5,1,2,6,4,3,7,8]
[7,8,5,4,1,2,6,3]=>[8,5,6,4,3,1,7,2]
[3,5,6,4,1,2,8,7]=>[2,8,1,5,4,3,6,7]
[7,6,5,1,4,2,3,8]=>[6,7,4,5,3,2,1,8]
[7,6,5,1,2,4,3,8]=>[7,4,5,6,3,2,1,8]
[7,6,5,1,2,4,8,3]=>[6,8,4,5,3,2,1,7]
[7,6,5,1,3,2,8,4]=>[5,8,4,6,3,2,1,7]
[7,6,5,1,3,2,4,8]=>[6,4,5,7,3,2,1,8]
[7,6,5,1,3,4,2,8]=>[5,7,4,6,3,2,1,8]
[7,2,3,4,5,1,8,6]=>[2,3,4,5,8,6,1,7]
[2,6,4,3,1,5,8,7]=>[4,3,8,1,5,2,6,7]
[2,6,4,3,1,8,5,7]=>[4,3,7,1,2,8,5,6]
[2,6,4,3,1,8,7,5]=>[3,8,4,1,2,7,5,6]
[3,5,8,4,1,2,7,6]=>[2,8,1,5,4,6,7,3]
[3,5,8,4,1,2,6,7]=>[5,1,2,6,4,7,8,3]
[3,5,8,4,1,6,2,7]=>[2,7,1,5,4,6,8,3]
[4,2,8,3,6,1,7,5]=>[1,8,4,6,2,5,7,3]
[3,5,8,4,1,6,7,2]=>[2,6,1,4,8,5,7,3]
[2,5,8,4,1,7,3,6]=>[2,7,4,8,1,5,6,3]
[3,6,4,2,1,7,8,5]=>[4,1,3,6,2,8,5,7]
[3,6,4,2,1,7,5,8]=>[4,1,3,7,5,2,6,8]
[3,5,6,4,1,8,7,2]=>[2,4,1,3,8,7,5,6]
[2,6,4,5,1,3,7,8]=>[5,3,6,1,4,2,7,8]
[7,6,5,1,4,3,8,2]=>[6,5,8,4,3,2,1,7]
[7,6,5,1,2,8,4,3]=>[8,7,4,5,3,2,1,6]
[7,6,5,1,2,8,3,4]=>[7,8,4,5,3,2,1,6]
[7,6,5,1,8,2,4,3]=>[8,6,7,4,3,2,1,5]
[7,6,5,1,8,2,3,4]=>[6,7,8,4,3,2,1,5]
[7,6,5,1,8,3,2,4]=>[7,6,8,4,3,2,1,5]
[7,6,5,1,4,8,2,3]=>[7,5,8,4,3,2,1,6]
[3,6,4,5,1,7,2,8]=>[3,7,1,5,4,2,6,8]
[2,5,6,4,1,7,8,3]=>[2,6,4,1,3,8,5,7]
[7,8,5,4,1,6,3,2]=>[8,7,5,4,3,1,6,2]
[2,5,6,4,1,7,3,8]=>[2,7,5,1,4,3,6,8]
[3,6,4,5,1,7,8,2]=>[3,6,1,4,2,8,5,7]
[7,6,5,1,4,8,3,2]=>[5,8,7,4,3,2,1,6]
[7,6,5,1,8,3,4,2]=>[6,8,7,4,3,2,1,5]
[7,6,5,1,8,4,2,3]=>[7,8,6,4,3,2,1,5]
[4,1,7,6,2,8,5,3]=>[8,1,7,5,4,2,3,6]
[7,8,6,2,1,3,5,4]=>[4,8,5,6,1,7,3,2]
[3,7,6,1,2,8,4,5]=>[7,8,1,4,5,3,2,6]
[2,6,5,3,1,4,8,7]=>[4,8,5,1,3,2,6,7]
[4,6,1,5,3,2,8,7]=>[1,5,4,8,3,2,6,7]
[3,6,1,4,2,5,8,7]=>[1,4,8,3,5,2,6,7]
[2,6,4,5,7,8,1,3]=>[3,4,2,7,1,5,8,6]
[8,7,1,6,5,2,4,3]=>[8,6,7,5,3,4,2,1]
[7,2,5,6,8,1,3,4]=>[6,3,7,2,4,1,8,5]
[6,1,3,4,2,8,7,5]=>[8,3,4,7,2,1,5,6]
[2,4,5,6,1,8,7,3]=>[2,3,4,8,1,7,5,6]
[8,4,1,6,5,7,3,2]=>[2,5,4,8,7,3,6,1]
[2,8,3,4,7,5,1,6]=>[7,3,4,6,8,1,5,2]
[6,8,2,7,4,3,5,1]=>[6,5,1,8,3,7,4,2]
[4,7,8,5,1,6,3,2]=>[8,7,1,5,4,2,6,3]
[8,2,6,4,7,3,5,1]=>[4,6,3,8,2,7,5,1]
[4,8,6,1,7,3,2,5]=>[7,1,6,8,4,3,5,2]
[8,7,3,2,1,5,4,6]=>[4,3,7,5,6,8,2,1]
[3,8,5,1,7,2,4,6]=>[6,7,1,3,8,4,5,2]
[6,8,7,1,3,2,4,5]=>[6,4,5,1,7,8,3,2]
[2,5,1,8,7,4,6,3]=>[2,6,8,7,1,5,3,4]
[3,7,1,8,4,5,6,2]=>[5,6,8,1,7,3,2,4]
[6,2,3,8,4,7,5,1]=>[8,5,7,2,1,3,6,4]
[8,6,4,3,1,7,2,5]=>[7,4,3,8,5,2,6,1]
[8,3,7,4,6,1,2,5]=>[6,2,4,7,8,5,3,1]
[7,1,3,8,6,4,5,2]=>[6,8,7,3,5,2,1,4]
[2,3,5,8,6,7,4,1]=>[5,8,3,7,1,2,6,4]
[7,4,2,1,8,6,5,3]=>[2,8,7,3,6,4,1,5]
[4,6,7,2,5,8,3,1]=>[5,1,2,8,4,3,7,6]
[7,6,2,5,3,8,1,4]=>[5,7,3,4,2,1,8,6]
[6,2,1,3,4,8,7,5]=>[8,2,7,3,4,1,5,6]
[6,5,4,2,8,3,1,7]=>[7,4,3,2,1,6,8,5]
[5,4,3,1,8,7,2,6]=>[3,2,1,7,8,6,4,5]
[6,1,4,3,8,5,2,7]=>[3,7,4,6,1,8,2,5]
[4,7,6,2,8,1,5,3]=>[8,1,4,6,3,2,7,5]
[6,4,5,1,7,8,3,2]=>[2,5,3,1,8,7,4,6]
[4,2,3,1,7,8,6,5]=>[5,1,8,2,3,7,4,6]
[3,4,2,1,8,6,7,5]=>[1,2,6,8,3,7,4,5]
[2,7,6,8,1,5,3,4]=>[7,8,5,3,1,2,6,4]
[6,4,5,8,3,1,2,7]=>[2,6,3,1,7,5,8,4]
[8,1,3,2,5,6,7,4]=>[3,5,6,8,2,4,7,1]
[3,6,8,1,5,2,4,7]=>[6,7,1,4,2,5,8,3]
[3,2,8,7,4,5,1,6]=>[5,7,1,6,8,2,4,3]
[6,3,8,5,7,4,2,1]=>[4,1,8,7,2,6,5,3]
[7,4,6,8,5,1,2,3]=>[2,6,7,3,1,8,5,4]
[2,1,4,8,7,5,3,6]=>[7,6,8,1,3,5,2,4]
[2,1,6,8,3,7,5,4]=>[3,8,7,1,5,6,2,4]
[3,6,8,2,4,1,5,7]=>[4,6,1,5,2,7,8,3]
[6,2,8,1,7,5,4,3]=>[8,7,6,2,1,4,5,3]
[2,6,5,4,8,1,3,7]=>[6,4,3,1,2,7,8,5]
[6,5,3,4,8,1,7,2]=>[3,4,2,1,8,6,7,5]
[8,4,3,2,5,1,7,6]=>[4,3,2,5,8,6,7,1]
[4,2,8,1,5,3,6,7]=>[6,2,1,4,5,7,8,3]
[5,1,8,2,6,4,3,7]=>[7,6,4,1,5,8,2,3]
[7,4,8,6,2,1,3,5]=>[2,6,5,7,1,8,4,3]
[4,6,2,8,3,7,5,1]=>[8,1,5,2,7,3,6,4]
[2,1,5,8,3,6,4,7]=>[3,7,1,5,6,8,2,4]
[2,8,5,3,6,7,1,4]=>[7,4,3,5,8,1,6,2]
[7,8,5,6,4,1,3,2]=>[8,6,3,1,7,5,4,2]
[5,8,4,1,6,3,7,2]=>[1,6,5,3,8,4,7,2]
[4,8,1,3,5,7,6,2]=>[1,8,4,5,7,3,6,2]
[3,8,1,4,5,6,2,7]=>[1,4,5,7,3,6,8,2]
[7,6,8,3,5,1,4,2]=>[4,8,6,2,1,7,5,3]
[7,8,6,3,5,1,4,2]=>[4,8,6,1,7,5,3,2]
[5,3,8,7,6,1,4,2]=>[1,8,6,7,2,5,4,3]
[6,5,8,4,7,1,3,2]=>[2,1,8,6,4,7,5,3]
[6,7,4,2,5,3,1,8]=>[7,4,3,1,6,5,2,8]
[7,6,4,8,3,1,5,2]=>[3,8,6,5,2,1,7,4]
[7,4,8,5,6,1,3,2]=>[8,2,6,4,1,7,5,3]
[7,4,2,5,6,3,1,8]=>[4,2,7,3,6,5,1,8]
[4,2,7,5,6,3,1,8]=>[1,4,7,6,2,5,3,8]
[3,4,7,5,6,2,1,8]=>[4,7,1,2,6,5,3,8]
[4,7,3,5,6,2,1,8]=>[1,3,4,7,6,5,2,8]
[3,7,2,5,6,4,1,8]=>[4,7,1,3,6,5,2,8]
[7,8,3,5,6,1,4,2]=>[8,3,6,4,1,7,5,2]
[1,6,8,5,2,7,4,3]=>[2,8,7,5,4,6,1,3]
[6,2,8,5,1,7,4,3]=>[8,7,5,2,1,4,6,3]
[6,7,4,8,2,1,5,3]=>[5,3,1,8,6,2,7,4]
[3,2,7,8,6,1,5,4]=>[8,6,1,3,7,2,5,4]
[6,8,4,1,2,3,7,5]=>[8,4,5,3,1,6,7,2]
[4,1,8,5,6,3,2,7]=>[1,4,7,6,5,8,2,3]
[1,8,2,5,6,4,3,7]=>[4,7,6,3,5,8,1,2]
[6,1,8,5,3,7,4,2]=>[8,5,4,1,7,6,2,3]
[3,8,1,5,2,7,6,4]=>[4,8,1,7,3,5,6,2]
[8,2,1,5,3,7,6,4]=>[4,8,2,7,3,5,6,1]
[1,5,2,4,6,7,8,3]=>[4,5,2,6,8,1,3,7]
[4,1,5,3,6,7,8,2]=>[4,3,1,5,6,8,2,7]
[8,1,6,5,3,7,2,4]=>[5,7,4,3,8,2,6,1]
[7,1,4,6,3,2,8,5]=>[3,5,8,6,2,4,1,7]
[3,2,6,4,1,7,8,5]=>[1,4,6,2,3,8,5,7]
[7,6,4,3,1,2,8,5]=>[8,5,4,3,6,2,1,7]
[8,6,3,5,1,7,2,4]=>[3,7,8,5,4,2,6,1]
[4,5,3,1,6,7,8,2]=>[1,5,3,2,6,8,4,7]
[3,5,2,1,6,7,8,4]=>[1,3,5,2,6,8,4,7]
[5,2,3,1,6,7,8,4]=>[2,3,5,1,6,8,4,7]
[1,5,3,2,6,7,8,4]=>[3,5,2,6,8,1,4,7]
[8,4,6,5,1,7,2,3]=>[2,7,8,5,4,3,6,1]
[7,5,4,6,1,2,8,3]=>[8,5,3,2,6,4,1,7]
[3,2,5,6,1,7,8,4]=>[1,3,6,2,4,8,5,7]
[3,2,8,7,6,1,4,5]=>[6,7,8,1,5,2,4,3]
[6,8,4,7,2,1,3,5]=>[6,5,3,1,7,8,4,2]
[3,8,7,5,6,1,2,4]=>[6,7,4,8,1,5,3,2]
[8,2,7,5,6,1,3,4]=>[6,7,4,8,2,5,3,1]
[4,8,6,5,1,7,3,2]=>[8,7,1,5,4,3,6,2]
[1,7,4,6,2,3,8,5]=>[3,8,5,6,4,1,2,7]
[7,6,4,2,1,5,8,3]=>[4,6,3,8,5,2,1,7]
[5,7,4,6,1,3,8,2]=>[1,6,3,8,5,4,2,7]
[8,6,4,7,3,1,2,5]=>[6,3,7,5,2,8,4,1]
[5,2,4,3,7,1,8,6]=>[3,8,2,1,4,6,5,7]
[3,5,4,2,7,1,8,6]=>[3,1,2,8,4,6,5,7]
[8,6,4,1,3,5,2,7]=>[5,7,4,3,6,2,8,1]
[6,7,4,1,5,3,8,2]=>[6,5,3,1,8,4,2,7]
[7,5,4,1,2,6,8,3]=>[6,8,4,3,2,5,1,7]
[1,7,4,2,3,6,8,5]=>[6,3,8,4,5,1,2,7]
[1,8,2,5,3,7,6,4]=>[4,8,7,3,5,6,1,2]
[6,8,1,5,4,7,3,2]=>[5,4,1,8,7,3,6,2]
[8,2,1,5,6,4,3,7]=>[4,7,2,6,3,5,8,1]
[3,8,1,5,6,4,2,7]=>[4,7,1,6,3,5,8,2]
[6,8,4,1,2,5,3,7]=>[7,4,5,3,1,6,8,2]
[3,2,8,1,6,5,4,7]=>[7,1,6,2,4,5,8,3]
[3,2,6,1,5,7,8,4]=>[1,5,6,2,3,8,4,7]
[7,6,4,1,5,2,8,3]=>[8,6,4,3,5,2,1,7]
[8,6,1,5,4,7,2,3]=>[7,5,4,8,3,2,6,1]
[3,5,1,4,6,7,8,2]=>[1,4,5,2,6,8,3,7]
[5,2,1,4,6,7,8,3]=>[2,4,5,1,6,8,3,7]
[5,4,1,3,6,7,8,2]=>[4,5,2,1,6,8,3,7]
[8,4,1,5,3,7,2,6]=>[5,4,2,7,8,3,6,1]
[7,5,4,1,3,2,8,6]=>[5,8,4,3,2,6,1,7]
[3,2,5,1,4,7,8,6]=>[1,6,2,3,8,4,5,7]
[7,1,4,3,5,2,8,6]=>[4,3,5,8,2,6,1,7]
[8,1,3,5,4,7,2,6]=>[5,3,4,7,8,2,6,1]
[5,1,3,4,6,7,8,2]=>[3,4,5,1,6,8,2,7]
[3,1,8,2,5,7,4,6]=>[1,5,7,8,4,6,2,3]
[8,3,2,6,1,4,7,5]=>[2,8,3,5,6,4,7,1]
[2,8,1,6,4,3,7,5]=>[5,8,6,1,3,4,7,2]
[2,6,1,3,8,7,5,4]=>[8,7,6,1,3,2,4,5]
[2,5,7,1,3,8,6,4]=>[2,8,7,1,4,5,3,6]
[2,6,8,1,5,7,4,3]=>[5,2,8,7,1,4,6,3]
[2,7,1,5,8,4,6,3]=>[4,6,8,7,1,3,2,5]
[2,7,1,6,4,8,3,5]=>[5,7,4,8,1,3,2,6]
[2,7,1,6,5,3,8,4]=>[8,6,5,1,3,4,2,7]
[2,8,1,7,6,5,4,3]=>[8,7,6,5,1,3,4,2]
[8,3,2,7,1,6,5,4]=>[8,2,7,3,5,6,4,1]
[4,1,8,7,3,2,6,5]=>[1,5,8,6,7,4,2,3]
[4,1,7,2,8,6,5,3]=>[8,1,7,6,4,2,3,5]
[3,7,1,8,6,5,4,2]=>[8,7,6,1,5,3,2,4]
[3,7,6,1,4,2,5,8]=>[6,1,4,5,7,3,2,8]
[3,7,5,1,4,6,8,2]=>[5,6,1,3,8,4,2,7]
[3,6,8,5,1,4,7,2]=>[6,2,8,1,5,4,7,3]
[7,3,5,8,2,1,4,6]=>[6,2,5,3,7,1,8,4]
[7,3,6,2,1,4,5,8]=>[2,5,4,6,7,3,1,8]
[7,3,6,2,1,5,4,8]=>[2,4,7,5,6,3,1,8]
[7,4,2,8,1,6,5,3]=>[2,8,7,3,5,1,6,4]
[8,7,5,3,2,1,6,4]=>[5,4,8,6,3,7,2,1]
[7,5,2,6,3,1,4,8]=>[6,3,5,2,7,4,1,8]
[7,4,6,2,1,8,3,5]=>[4,2,7,8,5,3,1,6]
[6,8,4,5,2,1,7,3]=>[5,3,1,8,6,4,7,2]
[4,6,8,5,1,7,3,2]=>[2,8,1,7,5,4,6,3]
[4,7,5,1,3,8,6,2]=>[8,1,5,3,7,4,2,6]
[4,7,6,1,5,3,2,8]=>[7,1,6,4,5,3,2,8]
[5,1,7,6,3,8,2,4]=>[5,1,7,4,3,8,2,6]
[5,1,7,6,4,2,8,3]=>[1,8,6,5,4,2,3,7]
[5,1,8,7,6,4,3,2]=>[8,1,7,6,5,4,2,3]
[8,5,2,1,7,6,4,3]=>[8,7,3,2,6,4,5,1]
[8,5,2,1,6,3,7,4]=>[8,3,6,4,2,5,7,1]
[5,1,8,6,3,2,7,4]=>[5,1,8,6,4,7,2,3]
[3,6,1,7,4,8,2,5]=>[5,7,1,4,2,8,3,6]
[4,1,8,6,3,7,2,5]=>[1,5,7,4,8,6,2,3]
[8,4,2,5,7,3,1,6]=>[4,2,7,3,6,8,5,1]
[3,4,6,8,5,7,1,2]=>[3,7,1,2,5,8,6,4]
[5,4,8,2,7,3,6,1]=>[2,1,6,8,4,7,5,3]
[5,4,8,7,3,6,1,2]=>[1,7,2,5,8,6,4,3]
[8,5,4,7,3,6,2,1]=>[3,2,5,8,7,6,4,1]
[6,4,3,8,7,1,2,5]=>[3,2,6,1,7,8,5,4]
[6,3,7,2,4,8,1,5]=>[2,4,5,1,7,3,8,6]
[5,6,8,4,2,7,3,1]=>[1,2,8,5,4,7,6,3]
[5,7,4,2,8,1,3,6]=>[4,1,6,3,7,2,8,5]
[6,5,2,7,1,3,8,4]=>[8,3,5,2,1,6,4,7]
[8,6,5,4,2,1,7,3]=>[5,8,6,4,3,2,7,1]
[6,4,7,3,1,8,2,5]=>[2,7,4,1,8,5,3,6]
[5,7,4,3,8,6,1,2]=>[1,4,3,7,2,8,6,5]
[7,5,8,4,6,3,2,1]=>[2,4,1,8,7,6,5,3]
[7,6,4,8,3,5,2,1]=>[3,5,2,1,8,7,6,4]
[7,6,5,3,8,2,4,1]=>[4,6,3,2,1,8,7,5]
[5,6,3,7,4,2,1,8]=>[1,7,3,2,6,5,4,8]
[7,6,3,8,5,1,4,2]=>[8,3,6,2,1,7,5,4]
[6,4,8,1,3,2,5,7]=>[6,4,2,5,1,7,8,3]
[7,4,8,6,3,1,5,2]=>[8,2,6,5,1,7,4,3]
[4,2,7,6,5,3,1,8]=>[7,1,6,5,2,4,3,8]
[3,7,2,4,6,5,1,8]=>[7,1,3,4,6,5,2,8]
[8,1,3,4,5,2,6,7]=>[3,4,6,2,5,7,8,1]
[1,6,8,4,2,5,3,7]=>[7,5,4,2,6,8,1,3]
[6,2,8,4,1,5,7,3]=>[6,4,8,2,1,5,7,3]
[6,7,4,8,5,1,2,3]=>[6,3,1,7,2,8,5,4]
[3,2,7,8,5,1,6,4]=>[8,6,1,5,2,3,7,4]
[3,2,8,1,5,4,6,7]=>[1,6,2,4,5,7,8,3]
[6,1,4,8,5,3,7,2]=>[6,3,5,1,8,7,2,4]
[1,4,8,5,2,6,7,3]=>[6,2,4,8,5,7,1,3]
[6,1,8,4,3,7,2,5]=>[5,4,7,1,8,6,2,3]
[3,7,1,4,2,5,8,6]=>[1,4,8,3,5,6,2,7]
[7,2,1,4,3,5,6,8]=>[2,5,3,4,6,7,1,8]
[4,1,5,3,6,8,2,7]=>[4,3,1,5,7,8,2,6]
[6,1,8,5,3,2,7,4]=>[5,8,6,4,1,7,2,3]
[7,1,4,6,3,8,5,2]=>[8,3,5,4,7,2,1,6]
[3,2,6,4,1,8,7,5]=>[8,1,4,2,3,7,5,6]
[7,6,4,3,1,8,2,5]=>[7,4,3,8,5,2,1,6]
[3,5,2,1,8,7,6,4]=>[2,8,1,7,3,6,4,5]
[1,5,3,2,8,6,4,7]=>[7,3,2,6,8,1,4,5]
[5,4,2,1,7,8,6,3]=>[5,2,1,8,3,7,4,6]
[8,2,7,6,5,1,3,4]=>[6,7,8,5,2,4,3,1]
[8,6,2,7,1,4,5,3]=>[6,8,3,5,2,7,4,1]
[1,7,3,6,2,8,5,4]=>[8,7,3,5,4,1,2,6]
[7,6,3,2,1,8,5,4]=>[3,8,4,7,5,2,1,6]
[8,6,3,7,4,1,2,5]=>[3,6,7,5,2,8,4,1]
[5,2,3,4,7,1,8,6]=>[8,2,3,1,4,6,5,7]
[8,6,3,1,4,5,7,2]=>[5,3,6,8,4,2,7,1]
[6,7,3,1,5,4,2,8]=>[3,7,6,4,1,5,2,8]
[5,8,3,1,2,4,7,6]=>[8,4,3,1,5,6,7,2]
[8,1,3,2,4,5,6,7]=>[4,2,3,5,6,7,8,1]
[8,4,1,7,2,3,6,5]=>[8,5,2,6,7,3,4,1]
[8,2,1,6,5,4,7,3]=>[6,5,2,4,8,3,7,1]
[3,8,1,5,6,4,7,2]=>[4,6,1,5,8,3,7,2]
[6,8,4,1,2,5,7,3]=>[6,8,4,3,1,5,7,2]
[3,2,8,1,6,5,7,4]=>[6,1,5,8,2,4,7,3]
[7,6,4,1,5,2,3,8]=>[6,7,4,3,5,2,1,8]
[8,6,1,5,4,7,3,2]=>[5,4,8,7,3,2,6,1]
[3,5,1,4,6,7,2,8]=>[1,4,5,2,7,3,6,8]
[5,2,1,4,7,6,3,8]=>[7,2,4,1,6,3,5,8]
[4,5,8,2,1,3,7,6]=>[1,4,2,8,5,6,7,3]
[5,8,2,3,1,4,6,7]=>[3,5,4,1,6,7,8,2]
[4,2,1,3,5,8,7,6]=>[8,2,1,7,3,4,5,6]
[5,4,1,3,6,2,8,7]=>[4,5,2,1,8,3,6,7]
[8,5,4,1,3,6,2,7]=>[5,7,4,3,2,6,8,1]
[3,2,5,1,4,6,8,7]=>[1,8,2,4,3,5,6,7]
[8,1,4,3,5,6,7,2]=>[4,3,5,6,8,2,7,1]
[7,1,3,5,4,6,2,8]=>[5,3,4,7,2,6,1,8]
[5,1,3,4,6,2,7,8]=>[3,4,6,2,1,5,7,8]
[4,1,3,2,5,7,6,8]=>[3,7,2,1,4,5,6,8]
[6,8,2,4,5,1,3,7]=>[6,3,4,1,7,5,8,2]
[3,6,7,2,5,1,4,8]=>[4,6,1,2,7,5,3,8]
[4,6,7,3,1,5,2,8]=>[7,1,5,4,2,6,3,8]
[5,8,1,2,4,7,3,6]=>[5,7,1,8,3,4,6,2]
[6,8,1,3,5,2,7,4]=>[8,4,6,3,1,5,7,2]
[6,8,3,1,4,5,7,2]=>[5,3,6,1,8,4,7,2]
[7,5,1,8,2,3,6,4]=>[8,5,6,2,7,3,1,4]
[6,1,8,2,3,4,7,5]=>[8,4,5,6,1,7,2,3]
[5,3,8,4,2,6,7,1]=>[5,2,1,4,6,8,7,3]
[5,1,8,4,6,3,7,2]=>[4,1,6,5,8,7,2,3]
[4,1,8,3,5,7,2,6]=>[4,1,5,7,8,6,2,3]
[3,4,7,2,6,1,8,5]=>[8,1,2,4,6,5,3,7]
[4,5,7,3,2,6,8,1]=>[1,2,5,4,6,3,8,7]
[4,5,7,2,3,6,8,1]=>[1,4,2,5,6,3,8,7]
[2,6,3,4,7,5,8,1]=>[6,3,4,1,2,5,8,7]
[3,6,4,2,7,5,8,1]=>[3,6,1,4,2,5,8,7]
[4,5,2,7,1,6,8,3]=>[1,6,2,8,3,5,4,7]
[3,4,1,6,5,8,2,7]=>[1,2,5,4,7,8,3,6]
[4,1,2,8,5,7,3,6]=>[5,1,7,8,6,2,3,4]
[5,1,4,8,6,2,7,3]=>[8,3,1,6,5,7,2,4]
[7,3,1,4,8,5,6,2]=>[2,6,8,4,7,3,1,5]
[5,6,3,1,7,4,2,8]=>[3,1,7,6,4,2,5,8]
[7,3,4,1,8,5,2,6]=>[2,3,7,6,8,4,1,5]
[6,4,2,8,7,1,5,3]=>[2,8,6,1,7,3,5,4]
[7,2,4,8,1,5,3,6]=>[3,7,2,5,6,1,8,4]
[2,6,3,7,5,1,4,8]=>[6,7,3,1,2,5,4,8]
[7,1,3,8,5,2,4,6]=>[6,7,3,5,8,2,1,4]
[1,5,3,7,8,2,4,6]=>[6,2,7,3,4,8,1,5]
[3,2,6,7,1,8,4,5]=>[7,1,3,8,2,5,4,6]
[4,6,3,1,7,8,5,2]=>[1,3,5,2,8,7,4,6]
[5,3,1,6,7,8,4,2]=>[2,4,1,5,8,7,3,6]
[4,1,6,2,7,8,5,3]=>[1,5,3,8,7,2,4,6]
[2,1,3,4,8,7,5,6]=>[7,8,1,6,2,3,4,5]
[4,8,3,7,6,5,1,2]=>[7,8,1,3,6,5,4,2]
[6,3,8,7,5,4,1,2]=>[7,1,8,6,2,5,4,3]
[5,3,8,7,6,4,1,2]=>[1,7,8,6,2,5,4,3]
[2,8,7,6,1,5,4,3]=>[8,7,5,6,4,1,3,2]
[5,2,8,7,6,1,4,3]=>[1,8,6,7,5,2,4,3]
[6,2,8,7,5,1,4,3]=>[8,6,1,7,5,2,4,3]
[7,8,2,6,5,1,4,3]=>[8,6,7,3,1,5,4,2]
[6,1,8,7,5,4,3,2]=>[1,8,7,6,5,4,2,3]
[3,1,8,7,6,5,4,2]=>[8,7,6,1,5,4,2,3]
[7,8,2,6,1,5,4,3]=>[8,7,3,5,1,6,4,2]
[6,2,8,7,1,5,4,3]=>[8,7,5,1,6,2,4,3]
[4,2,8,1,7,6,5,3]=>[8,1,7,6,2,4,5,3]
[4,8,2,7,6,1,5,3]=>[8,1,6,7,3,5,4,2]
[3,8,7,2,1,6,5,4]=>[8,4,7,1,5,6,3,2]
[6,5,8,7,1,4,3,2]=>[2,1,8,7,5,6,4,3]
[4,8,1,7,6,5,3,2]=>[8,7,1,6,5,3,4,2]
[5,4,1,8,7,6,3,2]=>[1,8,2,7,6,5,3,4]
[6,4,8,1,7,5,3,2]=>[8,2,1,7,6,4,5,3]
[7,8,4,1,6,5,3,2]=>[3,8,7,6,4,1,5,2]
[7,8,3,1,6,5,4,2]=>[8,3,7,6,4,1,5,2]
[6,3,8,1,7,5,4,2]=>[8,7,2,1,6,4,5,3]
[5,3,1,8,7,6,4,2]=>[1,8,7,2,6,5,3,4]
[7,8,2,1,6,5,4,3]=>[8,7,3,6,4,1,5,2]
[6,5,3,1,8,7,4,2]=>[8,3,2,1,7,6,4,5]
[6,4,3,1,8,7,5,2]=>[2,8,3,1,7,6,4,5]
[5,4,3,1,8,7,6,2]=>[2,1,8,3,7,6,4,5]
[7,5,2,1,8,6,4,3]=>[8,7,3,2,6,4,1,5]
[5,4,2,1,8,7,6,3]=>[2,1,8,7,3,6,4,5]
[7,3,2,1,8,6,5,4]=>[8,2,7,3,6,4,1,5]
[6,3,2,1,8,7,5,4]=>[8,2,7,3,1,6,4,5]
[6,1,4,2,3,5,8,7]=>[8,4,2,3,5,1,6,7]
[8,6,1,4,2,3,5,7]=>[5,6,3,4,7,2,8,1]
[6,8,1,4,2,3,5,7]=>[5,6,3,4,1,7,8,2]
[8,1,4,2,3,6,5,7]=>[7,4,2,3,5,6,8,1]
[4,1,8,2,3,6,5,7]=>[7,4,1,5,6,8,2,3]
[8,2,3,6,1,4,5,7]=>[2,3,5,6,7,4,8,1]
[6,2,3,8,1,4,5,7]=>[2,3,5,6,1,7,8,4]
[4,6,2,3,8,1,5,7]=>[3,1,4,6,2,7,8,5]
[4,8,2,3,6,1,5,7]=>[3,1,4,6,7,5,8,2]
[8,2,3,6,4,1,5,7]=>[6,2,3,5,7,4,8,1]
[8,4,3,6,2,1,5,7]=>[3,2,6,5,7,4,8,1]
[6,2,3,8,4,1,5,7]=>[6,2,3,5,1,7,8,4]
[8,4,2,3,6,1,5,7]=>[3,4,2,6,7,5,8,1]
[6,4,2,3,8,1,5,7]=>[3,4,2,6,1,7,8,5]
[2,6,4,3,8,1,5,7]=>[4,3,6,1,2,7,8,5]
[2,8,4,3,6,1,5,7]=>[4,3,6,7,1,5,8,2]
[2,6,3,8,4,1,5,7]=>[6,3,5,1,2,7,8,4]
[6,3,8,4,2,1,5,7]=>[6,2,5,4,1,7,8,3]
[2,6,3,8,1,4,5,7]=>[3,5,6,1,2,7,8,4]
[2,8,3,6,1,4,5,7]=>[3,5,6,7,1,4,8,2]
[8,3,6,4,2,1,5,7]=>[6,2,5,4,7,3,8,1]
[2,8,3,6,4,1,5,7]=>[6,3,5,7,1,4,8,2]
[8,3,6,2,4,1,5,7]=>[2,4,6,5,7,3,8,1]
[8,3,6,2,1,4,5,7]=>[2,5,4,6,7,3,8,1]
[6,2,1,3,8,4,5,7]=>[2,6,7,8,3,1,4,5]
[8,2,1,3,6,4,5,7]=>[2,6,7,3,4,5,8,1]
[6,3,8,2,4,1,5,7]=>[2,4,6,5,1,7,8,3]
[6,2,4,3,8,1,5,7]=>[4,2,3,6,1,7,8,5]
[3,6,4,7,8,5,1,2]=>[7,3,1,2,4,8,6,5]
[1,6,4,2,7,5,8,3]=>[3,6,5,2,8,1,4,7]
[3,6,4,2,7,1,5,8]=>[4,1,3,6,2,7,5,8]
[1,4,7,2,5,6,8,3]=>[2,5,6,8,4,1,3,7]
[6,4,8,5,3,7,1,2]=>[7,2,1,5,4,8,6,3]
[1,6,5,4,2,7,8,3]=>[6,4,3,2,8,1,5,7]
[4,2,5,3,6,1,7,8]=>[4,2,1,3,6,5,7,8]
[7,1,5,3,6,2,8,4]=>[8,4,3,6,2,5,1,7]
[1,6,5,2,4,8,7,3]=>[8,5,3,2,7,1,4,6]
[1,4,6,2,8,5,7,3]=>[6,2,3,8,7,1,4,5]
[7,8,1,4,2,5,6,3]=>[6,4,8,3,5,1,7,2]
[3,4,8,5,2,1,6,7]=>[6,1,2,5,4,7,8,3]
[4,8,5,3,1,6,2,7]=>[7,1,5,4,3,6,8,2]
[6,1,3,5,8,2,7,4]=>[4,8,3,6,1,7,2,5]
[6,1,8,7,4,2,3,5]=>[6,7,5,1,8,4,2,3]
[1,2,8,5,7,3,6,4]=>[4,8,6,7,5,1,2,3]
[1,3,6,8,7,5,2,4]=>[3,7,8,6,2,5,1,4]
[1,8,2,5,4,7,6,3]=>[4,8,5,7,3,6,1,2]
[7,1,2,4,5,8,6,3]=>[8,4,5,7,2,3,1,6]
[1,2,7,3,5,8,6,4]=>[8,5,7,4,1,2,3,6]
[6,1,3,2,5,7,8,4]=>[3,5,6,8,2,1,4,7]
[4,6,2,1,7,5,3,8]=>[1,7,3,6,4,2,5,8]
[1,6,3,7,8,5,2,4]=>[7,4,2,8,3,6,1,5]
[4,6,2,3,7,8,1,5]=>[1,7,3,4,2,5,8,6]
[4,6,3,7,1,2,8,5]=>[1,3,8,5,2,6,4,7]
[4,2,1,3,5,7,8,6]=>[2,6,1,8,3,4,5,7]
[7,3,2,4,5,1,8,6]=>[3,2,4,5,8,6,1,7]
[3,8,2,5,4,1,7,6]=>[5,1,3,4,8,6,7,2]
[7,8,4,2,6,3,1,5]=>[7,4,3,6,1,8,5,2]
[4,2,6,3,8,7,1,5]=>[1,7,3,8,2,4,6,5]
[5,8,2,7,4,3,1,6]=>[1,7,6,3,5,8,4,2]
[4,3,8,5,1,7,2,6]=>[1,7,2,4,8,5,6,3]
[4,3,6,8,1,2,7,5]=>[1,8,2,5,3,6,7,4]
[6,4,3,5,2,8,1,7]=>[3,2,5,4,1,7,8,6]
[6,5,3,8,4,2,1,7]=>[7,3,2,1,6,5,8,4]
[3,8,1,7,5,6,4,2]=>[5,8,7,1,6,3,4,2]
[8,2,5,7,3,6,4,1]=>[3,8,5,7,2,6,4,1]
[1,8,6,7,5,3,4,2]=>[6,3,8,7,5,4,1,2]
[8,2,6,7,5,3,4,1]=>[6,3,8,7,2,5,4,1]
[1,5,8,7,2,6,4,3]=>[8,2,7,5,6,4,1,3]
[5,4,8,6,2,3,7,1]=>[2,1,5,6,4,8,7,3]
[2,7,6,1,3,5,4,8]=>[7,4,5,6,1,3,2,8]
[6,4,1,8,2,5,7,3]=>[6,2,8,5,1,7,3,4]
[2,8,6,1,3,5,4,7]=>[7,4,5,6,1,3,8,2]
[4,1,3,6,5,8,7,2]=>[4,1,8,3,5,7,2,6]
[2,1,6,3,5,8,7,4]=>[8,5,1,3,7,2,4,6]
[2,4,1,3,8,5,7,6]=>[2,8,1,6,7,3,4,5]
[2,4,1,3,5,8,7,6]=>[2,8,1,7,3,4,5,6]
[2,6,1,3,5,8,7,4]=>[8,5,7,1,3,2,4,6]
[4,6,1,3,5,8,7,2]=>[1,8,4,5,2,7,3,6]
[6,1,4,3,5,8,7,2]=>[3,8,4,5,1,7,2,6]
[6,4,1,3,5,8,7,2]=>[8,4,2,5,1,7,3,6]
[6,2,1,3,5,8,7,4]=>[8,2,5,7,3,1,4,6]
[4,2,1,3,6,5,7,8]=>[2,6,3,1,4,5,7,8]
[4,2,1,6,3,5,7,8]=>[2,5,1,6,3,4,7,8]
[6,2,1,8,3,5,7,4]=>[6,8,2,5,1,7,3,4]
[6,2,1,3,8,5,7,4]=>[6,8,2,7,3,1,4,5]
[6,1,4,3,8,5,7,2]=>[3,6,8,4,1,7,2,5]
[1,6,4,3,8,5,7,2]=>[3,6,2,8,4,7,1,5]
[8,1,4,3,6,5,7,2]=>[3,6,4,5,8,2,7,1]
[8,4,1,3,6,5,7,2]=>[6,4,2,5,8,3,7,1]
[8,2,1,3,6,5,7,4]=>[6,2,5,8,3,4,7,1]
[8,2,1,6,3,5,7,4]=>[6,8,2,5,3,4,7,1]
[8,2,1,4,3,5,7,6]=>[2,4,8,3,5,6,7,1]
[6,2,1,4,3,5,7,8]=>[2,5,3,4,6,1,7,8]
[8,2,4,1,3,5,7,6]=>[8,2,4,3,5,6,7,1]
[8,2,6,1,3,5,7,4]=>[6,8,2,4,5,3,7,1]
[8,4,6,1,3,5,7,2]=>[5,2,6,8,4,3,7,1]
[8,4,1,6,3,5,7,2]=>[5,2,6,4,8,3,7,1]
[8,1,4,6,3,5,7,2]=>[3,5,6,4,8,2,7,1]
[1,8,4,6,3,5,7,2]=>[3,5,6,4,8,7,1,2]
[1,6,4,8,3,5,7,2]=>[3,5,2,6,8,7,1,4]
[6,4,1,8,3,5,7,2]=>[5,2,6,1,8,7,3,4]
[6,4,8,1,3,5,7,2]=>[5,2,6,1,8,4,7,3]
[6,2,8,1,3,5,7,4]=>[6,8,2,4,1,5,7,3]
[4,2,8,1,3,5,7,6]=>[8,2,1,4,5,6,7,3]
[2,6,8,1,3,5,7,4]=>[6,8,4,1,2,5,7,3]
[4,6,8,1,3,5,7,2]=>[1,5,6,2,8,4,7,3]
[4,6,1,8,3,5,7,2]=>[1,5,6,2,8,7,3,4]
[4,1,6,8,3,5,7,2]=>[1,5,3,6,8,7,2,4]
[1,4,6,3,8,5,7,2]=>[6,2,3,8,4,7,1,5]
[4,6,1,3,8,5,7,2]=>[1,6,8,4,2,7,3,5]
[2,4,1,8,3,5,7,6]=>[2,8,1,5,6,7,3,4]
[2,1,6,8,3,5,7,4]=>[6,3,8,1,5,7,2,4]
[4,1,3,6,8,5,7,2]=>[4,1,6,8,3,7,2,5]
[1,4,3,6,8,5,7,2]=>[2,4,6,8,3,7,1,5]
[4,1,3,8,6,5,7,2]=>[1,6,5,8,3,7,2,4]
[2,1,8,3,6,5,7,4]=>[6,5,8,1,4,7,2,3]
[2,1,6,4,3,5,7,8]=>[5,1,4,6,2,3,7,8]
[2,6,1,4,3,5,7,8]=>[5,1,3,4,6,2,7,8]
[2,8,1,4,3,5,7,6]=>[4,8,1,3,5,6,7,2]
[2,8,1,6,3,5,7,4]=>[6,8,5,1,3,4,7,2]
[4,8,1,3,6,5,7,2]=>[1,6,4,5,8,3,7,2]
[1,4,8,3,6,5,7,2]=>[6,2,4,5,8,7,1,3]
[1,4,8,6,3,5,7,2]=>[5,6,2,4,8,7,1,3]
[4,1,8,6,3,5,7,2]=>[1,5,6,4,8,7,2,3]
[4,8,1,6,3,5,7,2]=>[1,5,6,4,8,3,7,2]
[4,8,6,1,3,5,7,2]=>[1,5,6,8,4,3,7,2]
[2,8,6,1,3,5,7,4]=>[6,8,4,5,1,3,7,2]
[2,8,4,1,3,5,7,6]=>[8,4,1,3,5,6,7,2]
[2,6,4,1,3,5,7,8]=>[4,5,1,3,6,2,7,8]
[4,6,2,1,3,5,7,8]=>[4,3,1,5,6,2,7,8]
[6,8,1,4,3,5,7,2]=>[5,4,6,1,8,3,7,2]
[6,1,8,4,3,5,7,2]=>[5,4,6,1,8,7,2,3]
[1,6,8,4,3,5,7,2]=>[5,4,2,6,8,7,1,3]
[1,8,6,4,3,5,7,2]=>[5,4,6,3,8,7,1,2]
[8,1,6,4,3,5,7,2]=>[5,4,6,3,8,2,7,1]
[8,6,1,4,3,5,7,2]=>[5,4,6,8,3,2,7,1]
[8,6,4,1,3,5,7,2]=>[5,6,3,8,4,2,7,1]
[8,6,2,1,3,5,7,4]=>[3,6,8,4,5,2,7,1]
[8,4,2,1,3,5,7,6]=>[3,8,4,2,5,6,7,1]
[7,8,6,5,2,1,4,3]=>[5,8,6,1,7,4,3,2]
[5,7,4,1,8,6,3,2]=>[1,3,8,7,6,4,2,5]
[5,6,4,2,8,3,7,1]=>[1,6,3,2,8,4,7,5]
[5,6,4,2,7,3,1,8]=>[1,7,4,3,2,6,5,8]
[5,7,1,4,6,3,2,8]=>[4,1,7,6,3,5,2,8]
[5,8,1,4,6,3,7,2]=>[4,1,6,5,8,3,7,2]
[3,6,7,4,5,8,2,1]=>[4,2,5,1,3,8,7,6]
[3,5,7,4,6,8,2,1]=>[2,4,5,1,3,8,7,6]
[6,8,4,1,7,2,5,3]=>[8,6,3,1,7,4,5,2]
[5,4,6,1,7,8,3,2]=>[2,1,5,3,8,7,4,6]
[5,6,4,1,8,7,3,2]=>[1,3,2,8,7,6,4,5]
[3,5,8,4,6,7,2,1]=>[2,4,5,8,1,7,6,3]
[3,6,8,4,5,7,2,1]=>[4,2,5,8,1,7,6,3]
[3,7,8,4,5,6,2,1]=>[4,5,2,8,1,7,6,3]
[6,8,1,4,5,3,7,2]=>[4,6,5,1,8,3,7,2]
[6,7,1,4,5,3,2,8]=>[4,7,6,3,1,5,2,8]
[3,7,1,5,4,6,2,8]=>[5,1,4,7,3,6,2,8]
[3,8,1,5,4,6,7,2]=>[5,1,4,6,8,3,7,2]
[3,7,1,5,4,6,8,2]=>[5,1,4,6,8,3,2,7]
[6,7,1,4,5,3,8,2]=>[4,6,5,1,8,3,2,7]
[5,7,1,4,6,3,8,2]=>[4,1,6,5,8,3,2,7]
[5,6,4,2,7,3,8,1]=>[1,6,4,3,2,5,8,7]
[5,4,7,2,8,3,1,6]=>[2,1,7,4,6,3,8,5]
[5,4,7,2,8,3,6,1]=>[2,1,6,8,4,3,7,5]
[5,6,4,2,8,3,1,7]=>[1,7,4,3,2,6,8,5]
[5,8,1,4,6,3,2,7]=>[4,1,7,6,3,5,8,2]
[3,8,1,5,4,6,2,7]=>[5,1,4,7,3,6,8,2]
[3,6,1,5,4,2,7,8]=>[6,1,5,3,4,2,7,8]
[3,6,1,5,4,8,2,7]=>[5,1,4,7,2,8,3,6]
[6,8,3,1,4,2,5,7]=>[6,4,3,5,1,7,8,2]
[7,3,8,1,4,2,5,6]=>[2,6,4,5,7,1,8,3]
[6,7,3,1,4,2,8,5]=>[5,3,8,4,1,6,2,7]
[3,6,1,5,4,7,8,2]=>[5,1,4,6,2,8,3,7]
[3,4,1,2,7,6,5,8]=>[1,2,7,6,3,4,5,8]
[3,4,1,2,6,8,7,5]=>[1,2,8,5,7,3,4,6]
[6,8,3,1,4,7,2,5]=>[5,3,7,1,8,4,6,2]
[6,4,7,2,8,5,1,3]=>[2,7,1,8,4,3,6,5]
[5,8,1,4,7,3,2,6]=>[4,1,7,6,8,3,5,2]
[7,8,1,4,5,3,2,6]=>[4,7,6,3,5,1,8,2]
[3,8,1,5,4,7,2,6]=>[5,1,4,7,8,3,6,2]
[3,6,1,5,4,8,7,2]=>[4,8,1,5,2,7,3,6]
[3,6,1,5,4,7,2,8]=>[5,1,4,7,3,2,6,8]
[6,7,3,1,4,2,5,8]=>[6,4,3,5,1,7,2,8]
[6,8,3,1,4,2,7,5]=>[5,3,8,4,1,6,7,2]
[7,8,3,1,4,6,2,5]=>[5,3,7,8,4,1,6,2]
[7,8,4,2,6,5,1,3]=>[7,3,8,4,1,6,5,2]
[6,5,8,7,3,4,2,1]=>[2,1,5,8,7,6,4,3]
[7,8,3,1,4,6,5,2]=>[3,8,5,7,4,1,6,2]
[6,7,3,1,4,5,2,8]=>[5,3,7,4,1,6,2,8]
[3,7,1,5,4,2,6,8]=>[6,1,5,3,4,7,2,8]
[3,8,1,5,4,2,7,6]=>[5,1,4,8,3,6,7,2]
[5,8,1,4,7,3,6,2]=>[4,1,6,8,7,3,5,2]
[6,8,4,2,7,5,3,1]=>[3,1,8,7,4,6,5,2]
[6,4,7,2,8,5,3,1]=>[8,2,1,7,4,3,6,5]
[6,3,7,1,4,8,5,2]=>[8,2,5,1,7,4,3,6]
[6,8,3,1,4,7,5,2]=>[3,8,5,1,7,4,6,2]
[3,7,1,5,4,8,6,2]=>[4,8,1,5,7,3,2,6]
[3,4,1,2,8,5,7,6]=>[1,2,8,6,7,3,4,5]
[3,4,1,2,5,8,7,6]=>[1,2,8,7,3,4,5,6]
[3,7,1,5,4,2,8,6]=>[5,1,4,8,3,6,2,7]
[6,7,3,1,4,5,8,2]=>[5,3,6,1,8,4,2,7]
[7,3,8,1,4,5,2,6]=>[2,5,7,4,6,1,8,3]
[7,3,8,1,4,5,6,2]=>[2,5,6,8,4,1,7,3]
[6,8,3,1,4,5,2,7]=>[5,3,7,4,1,6,8,2]
[3,8,1,5,4,2,6,7]=>[6,1,5,3,4,7,8,2]
[8,7,6,3,5,2,1,4]=>[4,7,6,8,5,3,2,1]
[8,7,4,6,3,2,1,5]=>[3,7,6,5,8,4,2,1]
[8,5,7,4,3,2,1,6]=>[2,7,6,5,4,8,3,1]
[8,7,6,2,5,4,1,3]=>[7,8,4,6,5,3,2,1]
[8,5,4,7,3,2,1,6]=>[3,2,7,6,5,8,4,1]
[8,7,3,6,5,2,1,4]=>[7,3,6,8,5,4,2,1]
[6,5,8,4,3,2,1,7]=>[2,1,7,6,5,4,8,3]
[8,4,7,6,3,2,1,5]=>[7,2,6,5,8,4,3,1]
[5,8,7,4,3,2,1,6]=>[7,1,6,5,4,8,3,2]
[5,8,6,2,3,4,7,1]=>[4,1,5,6,3,8,7,2]
[4,5,2,7,3,1,8,6]=>[1,5,2,8,3,6,4,7]
[4,8,2,6,3,5,7,1]=>[1,5,6,3,4,8,7,2]
[4,3,7,8,6,5,1,2]=>[7,1,3,8,2,6,5,4]
[4,1,7,2,5,8,6,3]=>[1,8,5,7,4,2,3,6]
[7,8,2,1,5,6,4,3]=>[5,8,3,7,4,1,6,2]
[1,6,2,5,8,4,3,7]=>[4,7,6,2,8,1,3,5]
[2,1,8,7,4,5,3,6]=>[5,7,6,8,1,4,2,3]
[7,3,1,6,8,5,2,4]=>[7,2,4,8,6,3,1,5]
[1,5,8,6,2,3,7,4]=>[2,8,5,6,4,7,1,3]
[2,4,8,3,1,6,5,7]=>[2,4,7,1,5,6,8,3]
[5,2,7,1,8,6,3,4]=>[7,1,8,6,2,4,3,5]
[2,6,1,3,8,7,4,5]=>[7,8,6,1,3,2,4,5]
[6,5,2,8,1,7,3,4]=>[7,8,3,2,1,5,6,4]
[2,8,3,5,1,7,4,6]=>[7,3,4,8,1,5,6,2]
[5,4,3,8,7,1,6,2]=>[2,1,8,3,6,7,5,4]
[8,5,4,3,7,2,6,1]=>[4,3,2,6,8,7,5,1]
[8,3,7,4,2,6,5,1]=>[4,8,2,5,7,6,3,1]
[2,8,6,5,1,7,4,3]=>[8,7,5,4,1,3,6,2]
[6,3,2,8,4,1,7,5]=>[2,5,8,3,1,6,7,4]
[2,8,3,4,1,7,5,6]=>[3,4,7,8,1,5,6,2]
[5,4,2,8,3,1,7,6]=>[5,2,1,8,3,6,7,4]
[2,8,4,3,1,7,6,5]=>[3,8,4,7,1,5,6,2]
[2,8,5,3,1,7,6,4]=>[8,4,3,7,1,5,6,2]
[2,8,6,4,1,7,5,3]=>[4,8,7,5,1,3,6,2]
[3,8,7,5,1,6,4,2]=>[8,7,5,1,4,6,3,2]
[8,3,7,5,2,6,4,1]=>[8,5,2,4,7,6,3,1]
[8,4,7,6,2,5,3,1]=>[8,2,5,7,6,4,3,1]
[4,8,7,6,1,5,3,2]=>[8,7,1,5,6,4,3,2]
[7,4,8,6,2,1,5,3]=>[2,5,8,6,1,7,4,3]
[7,3,8,5,2,1,6,4]=>[5,8,2,6,4,1,7,3]
[7,3,8,4,2,1,6,5]=>[5,2,4,8,6,1,7,3]
[7,5,4,3,8,2,1,6]=>[4,3,2,7,6,1,8,5]
[3,7,8,4,1,2,6,5]=>[8,5,1,4,6,2,7,3]
[3,7,8,5,1,2,6,4]=>[8,5,6,1,4,2,7,3]
[4,7,8,6,1,2,5,3]=>[8,1,5,6,2,7,4,3]
[8,7,4,6,3,5,2,1]=>[3,5,8,7,6,4,2,1]
[5,7,8,6,1,2,4,3]=>[1,8,5,6,2,7,4,3]
[6,4,7,8,3,1,2,5]=>[2,6,1,7,5,3,8,4]
[7,3,4,8,2,1,5,6]=>[2,3,6,5,7,1,8,4]
[7,6,4,8,3,2,1,5]=>[3,7,6,5,2,1,8,4]
[7,5,8,6,2,1,4,3]=>[5,2,8,6,1,7,4,3]
[6,5,8,7,3,1,4,2]=>[2,1,8,6,5,7,4,3]
[2,4,8,3,1,5,7,6]=>[2,4,8,1,5,6,7,3]
[6,3,2,4,8,1,5,7]=>[3,2,4,6,1,7,8,5]
[2,3,8,4,1,6,7,5]=>[4,6,8,1,2,5,7,3]
[2,3,8,5,1,6,7,4]=>[6,4,8,1,2,5,7,3]
[6,4,8,7,3,1,5,2]=>[8,2,1,6,5,7,4,3]
[8,6,4,7,3,2,5,1]=>[3,6,5,2,8,7,4,1]
[8,3,4,7,2,5,6,1]=>[2,3,5,6,8,7,4,1]
[3,4,8,7,1,5,6,2]=>[6,8,1,2,5,7,4,3]
[2,4,8,6,1,5,7,3]=>[6,8,2,5,1,4,7,3]
[2,5,8,6,1,4,7,3]=>[2,6,8,5,1,4,7,3]
[8,3,5,7,2,4,6,1]=>[5,2,3,6,8,7,4,1]
[8,4,6,7,2,3,5,1]=>[2,5,6,3,8,7,4,1]
[4,6,8,7,1,3,5,2]=>[6,1,2,8,5,7,4,3]
[2,6,8,5,1,3,7,4]=>[8,5,2,6,1,4,7,3]
[2,6,8,4,1,3,7,5]=>[8,5,4,1,2,6,7,3]
[2,5,8,3,1,4,7,6]=>[4,2,8,1,5,6,7,3]
[5,6,8,7,1,3,4,2]=>[1,6,2,8,5,7,4,3]
[7,4,6,8,2,1,3,5]=>[2,6,5,7,3,1,8,4]
[2,3,5,4,1,8,6,7]=>[4,1,2,3,7,8,5,6]
[2,3,6,4,8,1,5,7]=>[4,6,1,2,3,7,8,5]
[1,8,4,6,3,5,2,7]=>[3,5,7,6,4,8,1,2]
[5,4,8,6,2,1,3,7]=>[2,1,6,5,7,4,8,3]
[2,3,6,8,1,5,4,7]=>[7,5,1,2,3,6,8,4]
[2,5,6,1,4,7,8,3]=>[5,2,6,1,3,8,4,7]
[2,5,6,1,4,7,3,8]=>[5,2,7,1,4,3,6,8]
[7,3,5,1,6,8,4,2]=>[5,2,3,8,7,4,1,6]
[2,7,6,1,8,5,4,3]=>[8,7,6,4,1,3,2,5]
[2,7,6,8,1,4,5,3]=>[6,8,5,3,1,2,7,4]
[1,8,7,6,3,2,5,4]=>[5,8,6,7,4,3,1,2]
[1,8,7,6,3,2,4,5]=>[6,5,7,8,4,3,1,2]
[5,7,8,6,2,3,4,1]=>[1,5,6,2,8,7,4,3]
[2,7,6,1,8,5,3,4]=>[7,8,6,4,1,3,2,5]
[6,3,5,1,7,2,4,8]=>[2,6,7,4,3,1,5,8]
[2,3,4,7,6,1,5,8]=>[6,7,1,2,3,5,4,8]
[7,3,5,8,4,1,2,6]=>[6,2,3,7,5,1,8,4]
[1,8,4,5,2,7,3,6]=>[3,7,4,8,5,6,1,2]
[1,8,4,5,2,7,6,3]=>[3,4,8,7,5,6,1,2]
[7,3,5,8,4,1,6,2]=>[3,8,2,6,5,1,7,4]
[2,7,6,4,8,5,1,3]=>[4,7,3,2,8,1,6,5]
[7,3,5,4,6,8,1,2]=>[4,2,3,7,5,1,8,6]
[6,3,5,4,7,1,8,2]=>[4,2,3,1,8,6,5,7]
[6,3,5,4,7,1,2,8]=>[6,2,4,3,1,7,5,8]
[3,4,1,5,6,8,7,2]=>[1,2,8,4,5,7,3,6]
[3,7,1,6,8,5,2,4]=>[7,4,8,1,6,3,2,5]
[2,3,1,8,6,4,7,5]=>[8,6,1,2,5,7,3,4]
[1,8,4,3,6,2,5,7]=>[4,3,6,7,5,8,1,2]
[2,3,1,8,6,4,5,7]=>[6,7,1,2,5,8,3,4]
[3,7,1,6,8,5,4,2]=>[4,8,7,1,6,3,2,5]
[6,3,5,4,7,2,1,8]=>[4,2,3,1,7,6,5,8]
[7,3,5,4,6,8,2,1]=>[4,2,3,5,1,8,7,6]
[2,7,6,4,8,5,3,1]=>[8,4,3,2,7,1,6,5]
[1,8,4,5,2,6,3,7]=>[3,7,5,4,6,8,1,2]
[6,4,8,5,3,1,2,7]=>[2,6,1,7,5,4,8,3]
[7,3,5,8,4,6,2,1]=>[3,5,8,2,1,7,6,4]
[2,3,4,6,5,8,1,7]=>[5,1,2,3,4,7,8,6]
[2,3,4,7,5,1,8,6]=>[5,8,1,2,3,6,4,7]
[2,3,4,7,5,1,6,8]=>[6,1,2,3,5,7,4,8]
[2,3,4,7,1,6,5,8]=>[7,1,2,3,5,6,4,8]
[2,3,4,7,1,6,8,5]=>[6,8,1,2,3,5,4,7]
[2,3,4,6,1,8,7,5]=>[4,8,1,2,3,7,5,6]
[6,3,5,8,4,2,7,1]=>[3,6,2,1,5,8,7,4]
[7,4,8,5,3,2,1,6]=>[7,2,6,5,4,1,8,3]
[1,8,4,5,2,3,6,7]=>[5,3,6,4,7,8,1,2]
[7,4,8,5,3,2,6,1]=>[6,2,5,4,1,8,7,3]
[6,3,5,8,4,2,1,7]=>[3,7,2,1,6,5,8,4]
[5,2,4,6,8,3,7,1]=>[3,4,1,6,8,2,7,5]
[1,5,7,4,6,3,2,8]=>[2,4,7,6,5,1,3,8]
[5,2,8,4,6,3,7,1]=>[4,1,6,5,8,2,7,3]
[3,8,5,4,6,7,2,1]=>[4,3,5,8,1,7,6,2]
[6,8,3,4,5,7,2,1]=>[3,4,1,5,8,7,6,2]
[2,5,7,4,6,3,8,1]=>[2,4,6,5,1,3,8,7]
[5,4,1,7,8,3,2,6]=>[2,1,7,6,4,8,3,5]
[5,4,2,7,8,3,6,1]=>[2,1,6,4,8,3,7,5]
[5,1,4,6,8,3,2,7]=>[3,4,1,7,6,8,2,5]
[5,1,8,4,6,3,2,7]=>[4,1,7,6,5,8,2,3]
[8,1,6,4,5,3,2,7]=>[4,7,6,5,2,3,8,1]
[8,1,3,5,4,6,2,7]=>[5,3,4,7,2,6,8,1]
[8,1,6,2,4,3,5,7]=>[6,4,5,7,2,3,8,1]
[8,7,1,2,4,3,5,6]=>[6,3,4,5,7,8,2,1]
[1,7,6,2,4,3,5,8]=>[6,4,5,7,3,1,2,8]
[8,7,3,2,4,6,5,1]=>[3,8,4,5,7,6,2,1]
[8,2,6,3,4,5,7,1]=>[4,5,6,2,3,8,7,1]
[1,7,6,3,4,5,2,8]=>[4,5,7,6,3,1,2,8]
[1,7,2,5,4,3,6,8]=>[6,5,3,4,7,1,2,8]
[8,7,2,4,5,3,6,1]=>[4,6,3,5,8,7,2,1]
[5,8,2,4,7,3,6,1]=>[4,1,6,8,3,7,5,2]
[6,8,3,2,4,7,5,1]=>[3,8,4,1,5,7,6,2]
[8,7,1,3,4,5,2,6]=>[4,5,7,3,6,8,2,1]
[8,1,6,3,4,5,2,7]=>[4,5,7,6,2,3,8,1]
[8,1,2,5,4,3,6,7]=>[6,5,2,3,4,7,8,1]
[3,4,8,7,5,2,6,1]=>[6,5,8,1,2,7,4,3]
[3,2,8,6,1,5,4,7]=>[7,1,5,6,2,4,8,3]
[8,6,1,2,4,3,5,7]=>[6,3,4,5,7,2,8,1]
[8,7,3,6,4,2,5,1]=>[6,3,5,8,7,4,2,1]
[3,8,7,2,5,4,6,1]=>[6,4,5,8,1,7,3,2]
[8,7,2,4,5,6,3,1]=>[4,5,8,3,7,6,2,1]
[5,3,6,2,4,8,7,1]=>[8,2,1,4,3,5,7,6]
[3,5,2,8,6,1,4,7]=>[6,1,2,7,3,5,8,4]
[3,7,2,5,1,4,8,6]=>[8,1,3,5,4,6,2,7]
[5,1,8,6,2,3,4,7]=>[5,6,1,7,4,8,2,3]
[2,5,4,1,8,6,3,7]=>[3,2,7,1,6,8,4,5]
[3,7,6,1,8,2,5,4]=>[8,6,7,1,4,3,2,5]
[7,6,3,1,8,2,4,5]=>[6,3,7,8,4,2,1,5]
[8,2,3,6,1,4,7,5]=>[8,2,3,5,6,4,7,1]
[1,8,2,6,3,4,7,5]=>[8,5,6,3,4,7,1,2]
[8,1,3,6,4,7,2,5]=>[5,7,3,4,8,2,6,1]
[7,1,3,6,4,8,2,5]=>[5,7,3,4,8,2,1,6]
[8,2,1,3,5,7,4,6]=>[2,5,7,8,3,4,6,1]
[8,2,6,3,1,4,7,5]=>[4,8,2,5,6,3,7,1]
[7,5,4,1,3,8,2,6]=>[5,7,3,2,8,4,1,6]
[2,7,5,8,3,4,1,6]=>[5,3,7,6,1,2,8,4]
[7,3,8,5,4,1,2,6]=>[6,7,2,5,4,1,8,3]
[7,2,3,6,1,4,8,5]=>[8,2,3,5,6,4,1,7]
[1,3,7,2,5,8,4,6]=>[5,7,8,2,4,1,3,6]
[1,7,2,3,5,8,4,6]=>[5,7,8,3,4,1,2,6]
[7,4,8,1,3,6,2,5]=>[5,2,7,8,4,1,6,3]
[8,1,2,3,5,7,4,6]=>[5,7,8,2,3,4,6,1]
[7,1,2,3,5,8,4,6]=>[5,7,8,2,3,4,1,6]
[8,6,1,4,7,3,2,5]=>[4,7,6,8,3,2,5,1]
[2,6,3,7,1,4,8,5]=>[8,3,5,1,2,6,4,7]
[2,6,3,8,1,4,7,5]=>[8,3,5,1,2,6,7,4]
[7,5,4,8,1,3,2,6]=>[7,5,3,2,6,1,8,4]
[8,5,4,7,1,3,2,6]=>[7,5,3,2,6,8,4,1]
[2,3,1,8,5,4,6,7]=>[6,1,2,5,7,8,3,4]
[8,6,5,1,3,4,2,7]=>[5,7,4,6,3,2,8,1]
[8,5,1,7,6,3,4,2]=>[6,2,8,7,5,3,4,1]
[3,4,7,6,1,8,5,2]=>[8,7,1,2,5,4,3,6]
[3,5,2,6,7,1,8,4]=>[4,1,2,8,3,6,5,7]
[3,2,8,4,7,5,1,6]=>[7,1,4,6,8,2,5,3]
[8,4,7,5,1,3,2,6]=>[2,7,5,6,4,8,3,1]
[3,8,1,6,5,2,7,4]=>[8,6,1,5,3,4,7,2]
[6,1,2,8,3,4,7,5]=>[8,5,6,7,2,1,3,4]
[6,8,3,1,7,2,4,5]=>[6,3,7,1,8,4,5,2]
[3,7,2,5,6,1,8,4]=>[4,8,1,3,6,5,2,7]
[6,8,4,2,5,1,7,3]=>[8,4,3,1,6,5,7,2]
[2,7,5,3,8,4,1,6]=>[7,4,3,6,1,2,8,5]
[8,3,1,4,7,2,6,5]=>[2,8,4,6,7,3,5,1]
[8,3,2,1,5,7,4,6]=>[3,2,5,7,8,4,6,1]
[2,8,3,6,4,7,1,5]=>[5,7,3,4,8,1,6,2]
[7,3,6,4,8,1,2,5]=>[6,2,4,7,3,1,8,5]
[8,3,6,4,7,1,2,5]=>[6,2,4,7,3,8,5,1]
[1,2,8,3,5,7,4,6]=>[5,7,8,4,6,1,2,3]
[1,8,3,2,5,7,4,6]=>[3,5,7,8,4,6,1,2]
[6,5,1,7,4,2,8,3]=>[8,6,5,3,2,1,4,7]
[7,3,6,4,8,2,1,5]=>[4,7,2,6,3,1,8,5]
[4,6,1,7,3,5,2,8]=>[1,5,7,6,3,2,4,8]
[5,6,1,7,3,4,2,8]=>[5,1,7,6,3,2,4,8]
[6,1,7,3,4,2,8,5]=>[4,5,8,6,2,1,3,7]
[7,3,8,1,6,5,2,4]=>[7,8,2,6,4,1,5,3]
[8,3,7,1,6,5,2,4]=>[7,8,2,6,4,5,3,1]
[5,1,7,4,2,8,6,3]=>[4,1,8,7,5,2,3,6]
[2,8,1,7,6,5,3,4]=>[7,8,6,5,1,3,4,2]
[4,2,8,6,5,1,7,3]=>[8,1,6,5,2,4,7,3]
[6,4,2,8,5,1,7,3]=>[2,8,6,3,1,5,7,4]
[8,6,4,7,1,5,2,3]=>[7,3,8,5,2,6,4,1]
[7,6,4,8,1,5,2,3]=>[7,3,8,5,2,1,6,4]
[5,1,6,4,2,3,8,7]=>[8,5,4,2,1,3,6,7]
[4,2,3,8,7,5,1,6]=>[1,7,6,8,2,3,5,4]
[3,8,7,1,6,5,2,4]=>[7,8,6,1,4,5,3,2]
[2,4,3,8,1,6,7,5]=>[2,6,8,1,3,5,7,4]
[2,4,3,7,1,6,8,5]=>[2,6,8,1,3,5,4,7]
[4,2,3,7,8,5,1,6]=>[1,7,6,2,3,4,8,5]
[5,1,6,4,2,3,7,8]=>[5,6,4,2,1,3,7,8]
[6,4,7,8,1,5,2,3]=>[2,7,1,8,5,3,6,4]
[8,7,4,6,1,5,2,3]=>[7,3,8,5,6,4,2,1]
[6,5,7,8,1,4,2,3]=>[7,2,1,8,5,3,6,4]
[4,7,8,6,1,5,2,3]=>[7,8,1,5,2,6,4,3]
[3,2,4,7,8,1,5,6]=>[1,6,7,2,3,4,8,5]
[3,2,4,8,7,1,5,6]=>[1,6,7,8,2,3,5,4]
[4,8,7,6,1,5,2,3]=>[7,8,1,5,6,4,3,2]
[5,8,7,6,1,4,2,3]=>[1,7,8,5,6,4,3,2]
[8,6,5,7,1,4,2,3]=>[7,8,5,3,2,6,4,1]
[5,1,6,7,4,2,3,8]=>[6,3,1,7,5,2,4,8]
[6,7,4,8,1,5,2,3]=>[7,3,1,8,5,2,6,4]
[8,4,7,6,1,5,2,3]=>[2,7,8,5,6,4,3,1]
[8,3,2,4,7,1,5,6]=>[3,2,4,6,7,8,5,1]
[7,3,2,4,8,1,5,6]=>[3,2,4,6,7,1,8,5]
[2,5,3,7,1,6,4,8]=>[7,3,1,2,5,6,4,8]
[8,4,6,7,1,5,2,3]=>[2,7,8,5,3,6,4,1]
[7,4,6,8,1,5,2,3]=>[2,7,8,5,3,1,6,4]
[5,1,6,8,4,2,3,7]=>[6,3,1,7,5,8,2,4]
[4,2,3,7,5,1,6,8]=>[6,2,1,3,5,7,4,8]
[3,7,5,8,1,6,2,4]=>[7,3,8,1,5,2,6,4]
[2,4,3,7,1,6,5,8]=>[2,7,1,3,5,6,4,8]
[2,4,7,1,5,8,6,3]=>[8,2,5,7,1,4,3,6]
[3,2,4,7,6,1,5,8]=>[1,6,7,2,3,5,4,8]
[4,7,6,8,1,5,2,3]=>[7,8,1,5,3,2,6,4]
[8,5,6,7,1,4,2,3]=>[7,2,8,5,3,6,4,1]
[8,6,7,5,1,4,2,3]=>[7,8,5,2,6,4,3,1]
[7,6,8,5,1,4,2,3]=>[7,8,5,2,1,6,4,3]
[6,8,7,5,1,4,2,3]=>[7,1,8,5,6,4,3,2]
[5,6,8,7,1,4,2,3]=>[1,7,2,8,5,6,4,3]
[4,6,8,7,1,5,2,3]=>[7,1,2,8,5,6,4,3]
[2,4,6,7,1,5,8,3]=>[6,2,3,8,1,5,4,7]
[3,2,4,6,1,5,7,8]=>[2,1,3,5,6,4,7,8]
[6,7,8,5,1,4,2,3]=>[7,1,8,5,2,6,4,3]
[7,8,6,5,1,4,2,3]=>[7,8,5,1,6,4,3,2]
[3,1,7,5,4,2,8,6]=>[5,1,4,8,6,2,3,7]
[2,1,8,5,4,6,3,7]=>[5,4,7,1,6,8,2,3]
[4,1,8,5,2,3,6,7]=>[5,1,6,4,7,8,2,3]
[5,4,1,3,6,7,2,8]=>[4,5,2,1,7,3,6,8]
[8,4,1,2,6,3,7,5]=>[8,6,3,2,4,5,7,1]
[8,2,7,1,5,3,4,6]=>[6,7,2,4,5,8,3,1]
[3,2,7,1,5,8,4,6]=>[1,5,7,8,2,4,3,6]
[6,3,7,1,5,4,2,8]=>[7,2,6,4,1,5,3,8]
[7,3,8,1,5,4,2,6]=>[7,2,6,4,5,1,8,3]
[7,1,5,3,8,4,2,6]=>[7,4,3,6,8,2,1,5]
[4,5,1,3,6,8,2,7]=>[4,1,5,2,7,8,3,6]
[3,6,8,1,5,4,2,7]=>[7,6,1,4,2,5,8,3]
[6,8,3,1,5,4,2,7]=>[3,7,6,4,1,5,8,2]
[7,6,3,1,5,4,2,8]=>[3,7,6,4,5,2,1,8]
[3,6,2,1,5,8,4,7]=>[1,3,5,7,2,8,4,6]
[8,6,2,1,5,3,4,7]=>[3,6,7,4,5,2,8,1]
[4,8,2,1,7,5,3,6]=>[1,7,3,6,8,4,5,2]
[2,3,8,1,5,7,4,6]=>[5,7,8,1,2,4,6,3]
[7,1,3,2,8,6,4,5]=>[7,8,3,6,2,4,1,5]
[7,1,6,2,8,3,4,5]=>[6,7,8,4,2,3,1,5]
[4,7,1,2,6,3,8,5]=>[1,8,6,3,4,5,2,7]
[2,7,8,1,5,3,4,6]=>[6,7,4,5,1,2,8,3]
[6,7,2,1,5,3,4,8]=>[3,6,7,4,1,5,2,8]
[4,7,2,1,8,5,3,6]=>[1,7,3,6,8,4,2,5]
[8,7,2,1,4,5,3,6]=>[3,5,7,4,6,8,2,1]
[8,7,5,6,1,4,3,2]=>[8,7,5,3,6,4,2,1]
[5,7,8,6,1,4,3,2]=>[8,1,7,5,2,6,4,3]
[2,7,4,1,6,5,3,8]=>[3,7,6,1,4,5,2,8]
[3,7,1,4,5,6,8,2]=>[1,4,5,6,8,3,2,7]
[7,1,6,4,5,8,3,2]=>[4,5,3,8,7,2,1,6]
[3,5,1,4,7,6,8,2]=>[6,1,4,2,5,8,3,7]
[2,6,4,1,7,5,3,8]=>[3,7,6,1,4,2,5,8]
[5,6,8,7,1,4,3,2]=>[1,2,8,7,5,6,4,3]
[6,8,5,7,1,4,3,2]=>[1,8,7,5,3,6,4,2]
[8,6,5,7,1,4,3,2]=>[8,7,5,3,2,6,4,1]
[8,5,7,6,1,4,3,2]=>[2,8,7,5,6,4,3,1]
[6,5,7,8,1,4,3,2]=>[2,1,8,7,5,3,6,4]
[7,2,3,1,5,6,4,8]=>[2,3,5,7,4,6,1,8]
[4,2,8,1,6,5,3,7]=>[1,7,6,2,4,5,8,3]
[6,2,4,1,8,5,3,7]=>[3,7,2,6,1,8,4,5]
[8,3,1,4,5,6,7,2]=>[4,2,5,6,8,3,7,1]
[5,3,1,4,8,6,7,2]=>[2,6,1,8,4,7,3,5]
[7,5,1,6,3,4,8,2]=>[5,6,4,2,8,3,1,7]
[7,1,5,8,4,3,6,2]=>[3,6,5,8,7,2,1,4]
[5,8,1,6,4,3,7,2]=>[1,6,5,4,8,3,7,2]
[5,3,1,8,4,6,7,2]=>[2,5,1,6,8,7,3,4]
[8,3,1,5,4,6,7,2]=>[2,5,4,6,8,3,7,1]
[8,2,6,1,4,5,3,7]=>[5,7,2,4,6,3,8,1]
[6,2,8,1,4,5,3,7]=>[5,7,2,4,1,6,8,3]
[7,2,6,1,5,3,4,8]=>[6,7,2,4,5,3,1,8]
[2,8,6,1,5,3,4,7]=>[6,7,4,5,1,3,8,2]
[4,2,1,5,6,3,8,7]=>[2,4,1,5,8,3,6,7]
[7,1,2,5,8,3,4,6]=>[6,4,7,8,2,3,1,5]
[7,1,4,5,6,8,3,2]=>[3,4,5,8,7,2,1,6]
[8,5,6,7,1,4,3,2]=>[2,8,7,5,3,6,4,1]
[7,6,8,5,1,4,3,2]=>[8,7,5,2,1,6,4,3]
[6,8,7,5,1,4,3,2]=>[1,8,7,5,6,4,3,2]
[2,6,7,1,4,5,3,8]=>[5,7,4,1,2,6,3,8]
[3,5,1,7,4,6,8,2]=>[5,1,2,6,4,8,3,7]
[7,1,5,6,4,8,3,2]=>[3,5,4,8,7,2,1,6]
[7,1,6,5,4,8,3,2]=>[5,4,3,8,7,2,1,6]
[2,7,6,1,4,5,3,8]=>[5,7,4,6,1,3,2,8]
[5,7,6,8,1,4,3,2]=>[8,1,7,5,3,2,6,4]
[7,8,6,5,1,4,3,2]=>[8,7,5,1,6,4,3,2]
[4,3,1,6,5,8,7,2]=>[2,1,4,8,5,7,3,6]
[5,3,1,2,4,8,7,6]=>[2,8,7,3,1,4,5,6]
[5,3,6,2,1,8,7,4]=>[8,2,1,4,3,7,5,6]
[5,3,7,2,1,4,6,8]=>[2,5,4,1,6,7,3,8]
[5,3,7,2,8,4,1,6]=>[7,2,1,4,6,3,8,5]
[7,2,4,5,8,3,1,6]=>[3,4,7,2,6,1,8,5]
[7,2,4,5,1,3,6,8]=>[5,2,3,6,4,7,1,8]
[6,2,4,5,1,8,7,3]=>[3,4,8,2,1,7,5,6]
[3,1,4,5,2,8,7,6]=>[1,8,3,4,7,2,5,6]
[1,6,4,5,2,8,7,3]=>[3,4,2,8,7,1,5,6]
[3,7,4,5,1,2,6,8]=>[5,1,3,6,4,7,2,8]
[3,7,4,5,8,2,1,6]=>[3,4,7,1,6,2,8,5]
[1,7,4,2,6,3,5,8]=>[6,3,7,4,5,1,2,8]
[8,7,4,5,2,1,6,3]=>[5,3,8,6,4,7,2,1]
[6,3,7,1,8,4,2,5]=>[7,2,6,1,8,4,3,5]
[5,7,4,1,6,3,2,8]=>[1,7,6,4,3,5,2,8]
[1,7,4,8,6,3,2,5]=>[7,3,6,2,8,5,1,4]
[5,7,4,8,6,3,1,2]=>[1,3,7,2,8,6,5,4]
[4,8,3,5,6,7,1,2]=>[1,3,4,7,5,8,6,2]
[1,8,3,5,6,7,2,4]=>[4,7,3,5,8,6,1,2]
[4,8,1,5,6,7,2,3]=>[1,4,7,5,8,3,6,2]
[4,1,3,5,6,7,2,8]=>[3,4,1,5,7,2,6,8]
[5,8,4,3,6,1,2,7]=>[1,6,4,3,7,5,8,2]
[5,3,8,4,1,7,2,6]=>[7,2,1,4,8,5,6,3]
[1,5,8,4,6,7,3,2]=>[2,4,5,8,7,6,1,3]
[1,4,8,3,6,7,5,2]=>[5,8,2,4,7,6,1,3]
[4,3,8,2,1,7,5,6]=>[2,1,4,7,8,5,6,3]
[3,8,4,2,6,1,5,7]=>[4,1,3,6,7,5,8,2]
[1,8,2,5,6,7,4,3]=>[4,5,8,7,3,6,1,2]
[3,8,1,5,6,7,4,2]=>[4,5,8,1,7,3,6,2]
[3,8,2,5,6,7,1,4]=>[4,7,1,3,5,8,6,2]
[8,2,1,5,6,7,4,3]=>[4,5,8,2,7,3,6,1]
[8,1,3,5,6,7,4,2]=>[4,5,8,3,7,2,6,1]
[7,1,4,3,6,2,5,8]=>[4,3,6,7,2,5,1,8]
[7,8,4,3,6,2,1,5]=>[4,3,7,6,1,8,5,2]
[4,3,1,8,5,7,6,2]=>[1,8,2,5,7,6,3,4]
[4,3,1,6,8,7,5,2]=>[1,8,2,4,7,6,3,5]
[6,3,1,8,2,7,4,5]=>[2,7,8,5,1,6,3,4]
[6,3,5,8,2,7,1,4]=>[5,2,3,1,7,8,6,4]
[7,5,4,8,6,2,1,3]=>[3,2,7,6,1,8,5,4]
[7,1,4,8,6,2,3,5]=>[3,6,7,8,5,2,1,4]
[7,5,4,1,6,2,3,8]=>[6,7,4,3,2,5,1,8]
[7,6,4,5,8,1,3,2]=>[3,8,6,4,2,1,7,5]
[1,6,4,5,8,2,3,7]=>[3,6,4,2,7,8,1,5]
[7,3,6,1,8,2,4,5]=>[2,6,7,8,4,3,1,5]
[1,7,6,5,8,3,4,2]=>[6,4,3,2,8,7,1,5]
[1,8,5,3,6,7,4,2]=>[5,3,8,4,7,6,1,2]
[8,3,5,2,1,7,4,6]=>[2,4,7,3,8,5,6,1]
[8,4,1,5,6,7,3,2]=>[4,2,5,8,7,3,6,1]
[8,4,2,5,6,7,1,3]=>[4,2,7,3,5,8,6,1]
[4,1,8,5,6,7,3,2]=>[1,4,5,8,7,6,2,3]
[1,2,8,5,6,7,3,4]=>[4,7,5,8,6,1,2,3]
[4,2,1,5,6,7,3,8]=>[2,4,1,5,7,3,6,8]
[1,5,3,8,6,7,4,2]=>[2,5,8,7,3,6,1,4]
[1,4,5,8,6,7,3,2]=>[5,8,2,3,7,6,1,4]
[4,3,5,8,1,7,2,6]=>[2,1,3,7,8,5,6,4]
[3,5,4,8,6,1,2,7]=>[3,1,2,6,7,5,8,4]
[1,4,8,5,6,7,2,3]=>[4,7,2,5,8,6,1,3]
[3,4,8,5,6,7,1,2]=>[4,7,1,2,5,8,6,3]
[2,7,1,5,6,3,4,8]=>[6,4,7,1,3,5,2,8]
[2,7,1,4,3,6,5,8]=>[4,7,1,3,5,6,2,8]
[4,3,7,2,5,6,8,1]=>[2,1,4,5,6,3,8,7]
[2,6,3,1,4,5,8,7]=>[3,8,1,4,5,2,6,7]
[3,7,1,4,2,6,8,5]=>[1,4,6,8,3,5,2,7]
[3,7,1,5,6,2,8,4]=>[4,8,1,6,3,5,2,7]
[4,7,1,5,6,8,2,3]=>[1,4,7,5,8,3,2,6]
[8,5,2,6,7,3,1,4]=>[7,6,3,2,4,8,5,1]
[8,4,2,6,3,7,1,5]=>[5,2,7,3,4,8,6,1]
[8,4,2,3,5,7,1,6]=>[3,4,2,5,7,8,6,1]
[4,7,3,2,5,6,1,8]=>[1,4,3,5,7,6,2,8]
[5,3,4,6,2,8,1,7]=>[2,3,1,5,4,7,8,6]
[5,3,7,4,2,8,1,6]=>[5,2,1,4,7,3,8,6]
[6,4,7,2,3,8,1,5]=>[4,2,5,1,7,3,8,6]
[6,5,7,2,8,3,1,4]=>[7,4,2,1,6,3,8,5]
[5,3,7,2,4,8,6,1]=>[8,2,1,4,5,3,7,6]
[2,6,5,1,8,3,4,7]=>[6,7,3,1,2,8,4,5]
[8,7,6,1,4,5,2,3]=>[7,5,8,4,6,3,2,1]
[8,7,6,1,3,2,5,4]=>[5,8,4,6,7,3,2,1]
[8,7,2,4,3,1,6,5]=>[5,3,4,8,6,7,2,1]
[8,7,4,5,1,6,2,3]=>[7,3,8,5,4,6,2,1]
[8,5,6,4,1,7,2,3]=>[7,2,8,5,4,3,6,1]
[8,5,6,3,1,2,7,4]=>[8,5,4,2,6,3,7,1]
[8,4,6,2,3,1,7,5]=>[4,2,5,8,6,3,7,1]
[8,3,5,4,2,1,7,6]=>[5,2,4,3,8,6,7,1]
[5,7,3,4,2,1,8,6]=>[3,1,5,4,8,6,2,7]
[6,7,4,2,3,1,8,5]=>[4,5,3,1,8,6,2,7]
[6,7,5,3,1,2,8,4]=>[8,5,4,1,6,3,2,7]
[6,7,5,4,1,8,2,3]=>[7,1,8,5,4,3,2,6]
[6,2,4,3,8,7,5,1]=>[8,3,7,2,1,4,6,5]
[7,3,5,4,1,8,6,2]=>[4,2,3,8,7,5,1,6]
[5,2,7,1,3,4,8,6]=>[8,2,4,1,5,6,3,7]
[2,6,5,7,3,1,4,8]=>[6,5,3,1,2,7,4,8]
[2,6,5,7,3,1,8,4]=>[5,3,2,8,1,6,4,7]
[6,3,1,4,7,8,5,2]=>[2,5,8,4,1,7,3,6]
[6,8,2,1,3,4,5,7]=>[4,3,5,6,1,7,8,2]
[3,7,1,8,4,5,2,6]=>[5,7,1,6,8,3,2,4]
[6,3,2,4,7,5,8,1]=>[2,6,3,4,1,5,8,7]
[6,3,2,4,7,5,1,8]=>[2,7,3,4,1,6,5,8]
[4,2,1,6,3,7,5,8]=>[7,2,1,5,3,4,6,8]
[4,2,1,6,3,7,8,5]=>[6,2,1,4,8,3,5,7]
[7,4,3,5,8,6,1,2]=>[3,2,4,7,1,8,6,5]
[2,7,6,8,3,1,4,5]=>[6,5,7,3,1,2,8,4]
[7,4,3,5,8,6,2,1]=>[2,8,3,4,1,7,6,5]
[4,2,1,7,3,8,6,5]=>[1,8,7,2,5,3,4,6]
[4,2,1,3,7,8,6,5]=>[5,1,8,2,7,3,4,6]
[5,8,1,7,4,3,6,2]=>[1,6,5,8,7,3,4,2]
[5,8,1,7,4,3,2,6]=>[1,7,6,5,8,3,4,2]
[3,7,8,6,2,1,4,5]=>[6,5,7,1,2,8,4,3]
[4,2,1,8,3,5,6,7]=>[2,5,1,6,7,8,3,4]
[4,2,1,3,6,7,5,8]=>[2,5,1,7,3,4,6,8]
[4,2,1,3,7,5,6,8]=>[2,6,1,7,3,4,5,8]
[4,2,1,3,6,8,7,5]=>[8,2,1,5,7,3,4,6]
[7,3,2,4,8,6,5,1]=>[8,2,7,3,4,1,6,5]
[4,2,1,6,3,8,7,5]=>[4,1,8,2,7,3,5,6]
[4,2,1,7,3,5,6,8]=>[2,5,1,6,7,3,4,8]
[3,6,7,5,2,1,4,8]=>[6,5,1,2,7,4,3,8]
[3,6,7,5,2,1,8,4]=>[5,2,8,1,6,4,3,7]
[7,3,4,2,6,8,5,1]=>[2,3,5,8,4,1,7,6]
[4,8,6,2,7,3,5,1]=>[6,8,1,4,3,7,5,2]
[7,3,4,2,6,8,1,5]=>[2,3,7,4,5,1,8,6]
[3,6,7,5,2,4,8,1]=>[5,2,6,1,4,3,8,7]
[3,6,7,5,2,4,1,8]=>[5,2,7,1,6,4,3,8]
[4,2,1,7,3,6,5,8]=>[7,2,1,5,6,3,4,8]
[4,2,1,7,3,6,8,5]=>[6,1,8,2,5,3,4,7]
[3,7,6,8,4,2,5,1]=>[6,5,3,1,2,8,7,4]
[5,8,1,7,4,2,6,3]=>[1,8,6,5,7,3,4,2]
[3,7,8,6,2,4,5,1]=>[5,6,2,8,1,7,4,3]
[4,2,1,3,8,6,7,5]=>[6,1,8,2,7,3,4,5]
[4,2,1,3,7,6,5,8]=>[7,2,1,6,3,4,5,8]
[4,2,1,3,5,7,6,8]=>[2,7,3,1,4,5,6,8]
[4,2,1,3,5,8,6,7]=>[2,7,1,8,3,4,5,6]
[4,8,1,7,3,6,5,2]=>[8,1,5,7,6,3,4,2]
[4,7,8,6,3,5,2,1]=>[5,2,8,1,7,6,4,3]
[4,2,1,8,3,7,6,5]=>[1,8,7,2,5,6,3,4]
[4,2,1,3,5,6,8,7]=>[2,8,3,1,4,5,6,7]
[7,8,2,4,1,3,6,5]=>[8,3,5,4,6,1,7,2]
[2,6,1,5,4,7,8,3]=>[5,4,6,1,2,8,3,7]
[4,6,3,5,8,7,1,2]=>[1,3,4,2,7,8,6,5]
[3,5,6,1,4,8,7,2]=>[2,8,1,5,3,7,4,6]
[2,3,6,8,4,1,5,7]=>[6,5,1,2,3,7,8,4]
[2,7,5,1,8,3,4,6]=>[6,7,3,8,1,4,2,5]
[4,7,5,2,1,3,6,8]=>[1,5,4,6,3,7,2,8]
[3,5,6,2,4,1,7,8]=>[4,1,2,6,5,3,7,8]
[2,5,6,1,4,8,3,7]=>[5,2,7,1,3,8,4,6]
[6,7,8,4,1,5,3,2]=>[1,8,7,5,4,2,6,3]
[7,1,6,8,4,5,3,2]=>[5,3,8,7,6,2,1,4]
[7,4,6,5,2,8,1,3]=>[2,5,7,4,3,1,8,6]
[7,1,5,6,4,2,3,8]=>[6,3,7,5,2,4,1,8]
[5,7,4,6,8,1,3,2]=>[1,3,8,6,4,2,7,5]
[5,7,8,1,4,6,3,2]=>[1,5,8,7,4,2,6,3]
[8,1,5,7,4,6,3,2]=>[3,5,8,7,6,2,4,1]
[1,8,4,6,7,5,3,2]=>[4,8,3,7,6,5,1,2]
[6,1,8,4,7,5,3,2]=>[8,4,1,7,6,5,2,3]
[4,5,8,6,1,7,3,2]=>[8,1,2,7,5,4,6,3]
[4,8,5,1,6,7,3,2]=>[5,1,3,8,7,4,6,2]
[8,1,4,5,6,7,3,2]=>[3,4,5,8,7,2,6,1]
[5,6,7,1,4,2,3,8]=>[6,1,7,4,2,5,3,8]
[8,4,2,6,1,5,7,3]=>[6,2,8,3,5,4,7,1]
[4,8,5,2,1,6,7,3]=>[1,4,6,3,8,5,7,2]
[5,1,8,4,2,6,3,7]=>[7,5,4,1,6,8,2,3]
[1,8,4,6,2,5,3,7]=>[3,7,5,6,4,8,1,2]
[6,1,5,2,3,4,7,8]=>[4,5,6,2,3,1,7,8]
[8,3,1,4,6,2,5,7]=>[4,2,6,7,3,5,8,1]
[3,1,8,2,5,6,4,7]=>[1,5,7,4,6,8,2,3]
[3,5,1,8,2,6,4,7]=>[7,1,5,2,6,8,3,4]
[3,5,1,2,8,4,7,6]=>[8,1,6,2,7,3,4,5]
[2,3,5,8,6,1,7,4]=>[8,3,6,1,2,5,7,4]
[8,2,4,3,6,7,1,5]=>[3,7,2,4,5,8,6,1]
[3,2,8,5,7,1,6,4]=>[4,8,1,6,7,2,5,3]
[3,6,2,8,5,1,7,4]=>[8,6,1,3,2,5,7,4]
[6,2,1,8,4,7,5,3]=>[8,5,7,2,1,6,3,4]
[2,8,7,1,4,6,5,3]=>[8,5,7,4,6,1,3,2]
[8,2,7,1,5,4,6,3]=>[6,5,8,2,4,7,3,1]
[7,2,5,3,6,8,1,4]=>[7,4,2,3,5,1,8,6]
[7,3,1,5,6,2,4,8]=>[2,6,4,7,3,5,1,8]
[3,7,5,1,6,2,4,8]=>[6,7,1,4,3,5,2,8]
[2,7,3,6,5,8,1,4]=>[7,5,3,4,1,2,8,6]
[8,7,2,4,1,6,5,3]=>[4,8,3,7,5,6,2,1]
[1,8,7,2,3,6,5,4]=>[8,7,4,5,6,3,1,2]
[1,7,8,2,6,4,3,5]=>[7,6,8,4,2,5,1,3]
[1,7,3,8,2,6,4,5]=>[7,8,3,5,2,6,1,4]
[1,2,7,3,6,4,5,8]=>[6,7,4,5,1,2,3,8]
[7,1,5,8,3,2,4,6]=>[6,5,3,7,8,2,1,4]
[1,6,2,8,4,3,7,5]=>[5,8,6,2,7,1,3,4]
[1,3,8,7,2,4,6,5]=>[8,5,6,7,2,4,1,3]
[1,8,3,7,2,5,4,6]=>[7,3,5,6,8,4,1,2]
[8,1,4,7,3,2,5,6]=>[3,6,5,7,8,2,4,1]
[4,7,8,1,3,2,5,6]=>[1,6,4,5,7,2,8,3]
[7,1,4,2,3,5,6,8]=>[4,5,2,3,6,7,1,8]
[8,2,1,4,7,3,5,6]=>[2,4,6,7,8,3,5,1]
[2,1,3,8,4,6,7,5]=>[6,8,1,5,7,2,3,4]
[1,2,3,4,8,5,7,6]=>[8,6,7,1,2,3,4,5]
[2,4,7,5,6,8,3,1]=>[4,5,2,3,8,1,7,6]
[2,4,8,7,5,6,3,1]=>[5,8,7,2,6,1,4,3]
[2,5,3,8,4,7,6,1]=>[2,8,5,7,1,3,6,4]
[2,8,5,7,3,6,4,1]=>[3,8,5,7,6,1,4,2]
[3,1,8,5,2,7,6,4]=>[4,8,1,7,5,6,2,3]
[8,3,5,7,1,6,4,2]=>[3,8,2,7,5,6,4,1]
[8,3,6,1,4,5,7,2]=>[2,5,6,8,4,3,7,1]
[2,8,6,3,4,5,7,1]=>[4,5,6,3,8,1,7,2]
[2,6,8,3,4,5,7,1]=>[4,5,2,6,8,1,7,3]
[2,5,7,3,4,8,6,1]=>[2,8,4,5,1,3,7,6]
[2,7,8,5,3,6,4,1]=>[8,5,4,2,7,1,6,3]
[2,7,6,3,4,8,5,1]=>[8,4,5,3,1,2,7,6]
[3,1,8,7,2,6,4,5]=>[7,8,1,5,6,4,2,3]
[8,3,7,6,1,4,5,2]=>[6,8,2,5,7,4,3,1]
[4,8,1,7,2,3,6,5]=>[1,8,5,6,7,3,4,2]
[4,1,7,2,3,6,5,8]=>[7,4,1,5,6,2,3,8]
[3,7,1,8,2,6,4,5]=>[7,8,1,5,6,3,2,4]
[3,1,7,8,2,5,6,4]=>[6,8,1,5,3,7,2,4]
[3,1,6,5,8,2,7,4]=>[4,1,3,8,6,7,2,5]
[6,3,5,8,7,1,4,2]=>[3,8,2,1,6,7,5,4]
[7,3,8,5,1,6,4,2]=>[8,7,2,5,4,1,6,3]
[7,3,6,1,4,8,5,2]=>[8,2,5,7,4,3,1,6]
[7,8,3,6,1,4,5,2]=>[3,6,8,5,1,7,4,2]
[7,4,8,1,2,3,6,5]=>[8,4,2,5,6,1,7,3]
[8,7,4,6,1,2,5,3]=>[8,5,3,6,7,4,2,1]
[7,5,1,2,3,4,8,6]=>[8,3,4,5,2,6,1,7]
[7,4,6,1,2,8,3,5]=>[7,2,8,4,5,3,1,6]
[6,4,1,2,8,5,7,3]=>[6,2,8,7,3,1,4,5]
[5,7,1,2,3,6,4,8]=>[7,3,4,1,5,6,2,8]
[3,6,8,1,2,7,4,5]=>[7,8,1,4,2,5,6,3]
[4,8,6,1,2,3,7,5]=>[1,8,4,5,6,3,7,2]
[8,4,6,1,2,3,7,5]=>[8,4,2,5,6,3,7,1]
[4,8,1,5,2,7,3,6]=>[1,7,4,8,3,5,6,2]
[4,1,2,5,3,8,7,6]=>[8,4,1,7,2,3,5,6]
[3,1,4,8,7,5,2,6]=>[7,1,6,8,3,5,2,4]
[4,3,6,8,7,5,1,2]=>[1,3,7,8,2,6,5,4]
[5,4,1,8,2,7,6,3]=>[2,1,8,7,5,6,3,4]
[5,4,1,8,2,7,3,6]=>[7,2,1,8,5,6,3,4]
[8,6,7,4,1,2,5,3]=>[8,5,6,4,2,7,3,1]
[6,4,8,1,2,5,3,7]=>[7,4,2,5,1,6,8,3]
[6,7,3,1,4,8,5,2]=>[3,8,5,1,7,4,2,6]
[5,6,3,8,7,1,4,2]=>[1,8,3,2,6,7,5,4]
[5,4,1,6,8,2,7,3]=>[4,2,1,8,6,7,3,5]
[5,4,7,1,2,8,6,3]=>[2,1,8,7,4,5,3,6]
[6,7,4,1,2,8,3,5]=>[7,8,4,3,1,5,2,6]
[6,5,1,2,3,7,8,4]=>[6,8,3,4,2,1,5,7]
[6,5,1,2,3,4,8,7]=>[8,3,4,5,2,1,6,7]
[8,6,5,1,2,3,7,4]=>[8,4,5,6,3,2,7,1]
[6,5,1,2,3,7,4,8]=>[7,3,4,5,2,1,6,8]
[6,7,4,1,2,5,3,8]=>[7,4,5,3,1,6,2,8]
[7,8,6,4,1,2,5,3]=>[8,5,6,4,1,7,3,2]
[2,4,6,3,5,7,1,8]=>[2,4,5,1,3,7,6,8]
[1,4,6,3,7,2,5,8]=>[2,4,6,3,7,1,5,8]
[8,6,2,5,3,1,7,4]=>[5,8,3,6,4,2,7,1]
[8,2,3,4,5,1,7,6]=>[2,3,4,5,8,6,7,1]
[1,8,3,4,2,7,5,6]=>[3,4,7,8,5,6,1,2]
[2,8,3,4,1,6,7,5]=>[3,4,6,8,1,5,7,2]
[8,7,2,3,1,6,5,4]=>[8,3,4,7,5,6,2,1]
[3,8,2,4,6,1,7,5]=>[8,1,3,4,6,5,7,2]
[7,8,2,4,3,1,6,5]=>[5,3,4,8,6,1,7,2]
[4,5,8,2,3,1,7,6]=>[1,4,2,5,8,6,7,3]
[5,1,4,3,7,2,6,8]=>[4,3,6,1,7,2,5,8]
[6,1,3,5,7,2,4,8]=>[6,3,4,7,2,1,5,8]
[2,1,4,7,5,3,6,8]=>[6,1,3,5,7,2,4,8]
[7,1,3,6,2,5,4,8]=>[7,3,5,6,2,4,1,8]
[8,1,3,6,2,4,7,5]=>[8,3,5,6,2,4,7,1]
[2,1,8,3,7,5,4,6]=>[7,6,8,1,4,5,2,3]
[7,1,8,2,5,6,3,4]=>[7,5,8,4,6,2,1,3]
[6,1,5,8,2,7,3,4]=>[7,3,8,5,1,6,2,4]
[4,5,2,8,1,6,7,3]=>[1,6,2,8,3,5,7,4]
[6,2,5,8,1,4,7,3]=>[6,3,8,2,1,5,7,4]
[3,2,8,5,1,6,7,4]=>[6,1,4,8,2,5,7,3]
[8,2,7,1,4,6,5,3]=>[8,5,7,2,4,6,3,1]
[1,3,8,2,5,7,4,6]=>[5,7,8,2,4,6,1,3]
[2,8,7,1,6,4,5,3]=>[6,8,7,4,5,1,3,2]
[3,8,7,1,5,6,4,2]=>[5,8,7,1,4,6,3,2]
[3,4,8,5,6,1,7,2]=>[4,8,1,2,6,5,7,3]
[8,3,7,4,1,6,5,2]=>[4,8,2,7,5,6,3,1]
[1,4,8,6,2,7,3,5]=>[7,8,2,5,4,6,1,3]
[8,4,5,7,1,6,3,2]=>[2,3,8,7,5,6,4,1]
[3,5,6,8,4,1,7,2]=>[2,3,8,1,6,5,7,4]
[6,2,3,1,5,4,7,8]=>[2,3,6,4,5,1,7,8]
[7,2,3,1,4,6,5,8]=>[2,3,7,4,5,6,1,8]
[8,2,3,1,4,5,7,6]=>[2,3,8,4,5,6,7,1]
[8,5,1,3,2,4,7,6]=>[4,8,3,5,2,6,7,1]
[7,5,1,3,2,6,4,8]=>[4,7,3,5,2,6,1,8]
[2,6,1,4,5,3,7,8]=>[4,6,1,3,5,2,7,8]
[3,6,4,1,5,2,7,8]=>[6,1,4,3,5,2,7,8]
[4,5,6,1,3,2,7,8]=>[1,6,4,2,5,3,7,8]
[4,5,7,1,2,6,3,8]=>[1,7,4,2,5,6,3,8]
[3,7,4,1,2,6,5,8]=>[7,1,4,3,5,6,2,8]
[6,7,1,4,2,5,3,8]=>[7,5,3,4,1,6,2,8]
[2,7,1,3,5,6,4,8]=>[5,7,1,3,4,6,2,8]
[8,6,1,2,4,3,7,5]=>[5,8,3,4,6,2,7,1]
[2,8,1,3,4,6,7,5]=>[6,8,1,3,4,5,7,2]
[7,8,1,2,5,3,6,4]=>[8,6,3,4,5,1,7,2]
[3,8,4,1,2,5,7,6]=>[8,1,4,3,5,6,7,2]
[1,2,6,7,5,3,8,4]=>[3,8,6,5,1,2,4,7]
[1,7,5,3,2,8,4,6]=>[4,7,3,8,5,1,2,6]
[1,6,7,5,3,8,4,2]=>[2,8,5,4,3,7,1,6]
[1,6,5,7,2,3,8,4]=>[8,5,3,2,6,1,4,7]
[1,3,8,2,6,5,7,4]=>[6,5,8,2,4,7,1,3]
[1,2,5,7,6,3,4,8]=>[3,6,7,5,1,2,4,8]
[1,3,4,8,2,5,7,6]=>[8,2,3,5,6,7,1,4]
[1,5,7,6,2,3,4,8]=>[5,2,6,7,4,1,3,8]
[1,5,3,8,2,6,4,7]=>[7,3,2,5,6,8,1,4]
[1,4,8,3,2,5,7,6]=>[2,4,8,5,6,7,1,3]
[1,4,8,3,5,7,6,2]=>[8,2,4,5,7,6,1,3]
[1,2,4,8,3,5,7,6]=>[8,3,5,6,7,1,2,4]
[1,3,8,4,2,6,7,5]=>[4,6,8,2,5,7,1,3]
[1,4,8,2,3,5,7,6]=>[2,8,4,5,6,7,1,3]
[6,5,7,3,8,2,4,1]=>[4,2,1,6,3,8,7,5]
[4,2,6,7,5,8,3,1]=>[1,3,5,4,8,2,7,6]
[6,7,5,2,1,8,4,3]=>[8,4,1,7,5,3,2,6]
[3,4,8,7,5,2,1,6]=>[7,6,1,2,5,8,4,3]
[1,7,5,2,8,4,6,3]=>[6,3,8,7,4,1,2,5]
[5,6,8,3,1,7,2,4]=>[1,7,4,2,8,5,6,3]
[6,1,4,8,3,2,7,5]=>[3,5,8,6,1,7,2,4]
[3,4,7,1,8,6,2,5]=>[7,8,1,2,6,4,3,5]
[3,4,6,8,2,1,5,7]=>[6,1,2,5,3,7,8,4]
[3,8,2,5,6,1,4,7]=>[6,1,3,4,7,5,8,2]
[3,5,2,8,6,4,1,7]=>[2,7,1,6,3,5,8,4]
[4,2,5,7,3,8,6,1]=>[1,8,3,5,2,4,7,6]
[7,4,2,5,3,8,1,6]=>[5,3,2,4,7,1,8,6]
[3,1,2,8,5,6,4,7]=>[1,5,7,6,8,2,3,4]
[5,2,1,6,8,3,4,7]=>[6,2,4,1,7,8,3,5]
[5,2,6,8,4,1,3,7]=>[6,3,1,7,2,5,8,4]
[1,5,6,8,3,4,2,7]=>[2,5,3,7,6,8,1,4]
[4,5,8,1,6,3,2,7]=>[1,2,7,6,4,5,8,3]
[4,5,1,6,8,3,2,7]=>[1,4,2,7,6,8,3,5]
[4,5,7,3,8,2,6,1]=>[1,2,4,6,3,8,7,5]
[6,4,3,7,8,2,5,1]=>[2,6,3,1,4,8,7,5]
[6,4,3,1,7,8,2,5]=>[3,2,7,5,1,8,4,6]
[4,5,3,1,7,8,2,6]=>[1,3,2,7,5,8,4,6]
[7,1,3,5,4,8,2,6]=>[5,3,4,7,8,2,1,6]
[7,5,2,8,1,4,3,6]=>[7,3,5,2,6,1,8,4]
[5,7,3,8,4,6,1,2]=>[1,7,3,5,2,8,6,4]
[1,4,5,7,3,8,6,2]=>[8,2,3,5,4,7,1,6]
[4,6,3,7,8,5,2,1]=>[4,1,2,8,3,7,6,5]
[5,3,6,7,8,4,2,1]=>[3,1,4,8,2,7,6,5]
[1,5,3,6,7,8,4,2]=>[4,2,5,8,3,7,1,6]
[4,6,1,7,3,8,5,2]=>[8,1,5,4,2,7,3,6]
[6,3,7,1,8,4,5,2]=>[6,8,2,1,7,4,3,5]
[6,7,2,4,8,1,5,3]=>[4,8,3,1,6,2,7,5]
[2,6,1,4,7,3,8,5]=>[8,4,6,1,3,2,5,7]
[3,2,5,6,7,8,1,4]=>[1,3,4,7,2,5,8,6]
[5,2,3,6,7,8,4,1]=>[4,5,1,8,2,3,7,6]
[6,7,1,3,2,8,4,5]=>[4,7,8,3,1,5,2,6]
[6,2,7,1,3,4,8,5]=>[8,2,4,5,1,6,3,7]
[5,2,1,7,3,8,4,6]=>[7,8,2,1,5,3,4,6]
[6,4,2,7,1,8,3,5]=>[7,2,8,3,1,5,4,6]
[4,2,6,3,7,8,1,5]=>[1,7,4,2,3,5,8,6]
[4,2,6,3,7,8,5,1]=>[1,5,3,8,2,4,7,6]
[6,7,3,8,2,4,5,1]=>[3,5,1,6,2,8,7,4]
[3,6,2,7,4,1,8,5]=>[5,8,1,3,2,6,4,7]
[6,7,3,2,1,4,8,5]=>[4,3,8,5,1,6,2,7]
[7,1,8,3,4,2,5,6]=>[4,6,5,7,8,2,1,3]
[7,2,4,1,8,3,5,6]=>[6,2,3,7,8,4,1,5]
[7,2,4,8,6,1,3,5]=>[3,6,7,8,2,1,5,4]
[7,3,4,8,6,2,1,5]=>[7,2,3,6,1,8,5,4]
[3,5,7,2,1,8,6,4]=>[2,8,1,4,7,5,3,6]
[6,7,8,3,2,5,1,4]=>[5,4,1,7,2,8,6,3]
[6,3,7,8,2,5,4,1]=>[8,5,2,1,3,7,6,4]
[2,6,7,4,8,5,3,1]=>[2,8,4,3,7,1,6,5]
[6,2,4,7,1,8,5,3]=>[8,3,7,2,1,5,4,6]
[4,6,2,7,1,8,5,3]=>[8,1,7,3,2,5,4,6]
[1,7,4,8,5,2,6,3]=>[8,3,6,5,2,7,1,4]
[1,3,7,8,5,2,6,4]=>[8,6,5,2,3,7,1,4]
[2,5,7,8,1,6,3,4]=>[2,7,8,5,1,3,6,4]
[6,3,7,1,8,2,5,4]=>[8,2,6,1,7,4,3,5]
[1,6,4,7,8,2,5,3]=>[8,3,2,6,4,7,1,5]
[2,5,6,1,7,8,4,3]=>[2,5,3,8,1,7,4,6]
[5,6,1,2,7,8,4,3]=>[5,1,8,7,3,2,4,6]
[6,7,2,1,8,5,3,4]=>[7,8,3,1,6,4,2,5]
[6,7,2,8,5,4,1,3]=>[7,1,8,6,3,2,5,4]
[1,6,7,4,8,5,3,2]=>[2,8,4,3,7,6,1,5]
[1,8,2,4,6,3,5,7]=>[4,6,7,3,5,8,1,2]
[7,2,8,3,5,1,4,6]=>[4,6,7,2,5,1,8,3]
[1,3,7,4,6,2,5,8]=>[4,6,7,2,5,1,3,8]
[1,5,7,4,3,6,2,8]=>[2,5,4,7,6,1,3,8]
[1,8,4,5,3,6,2,7]=>[3,5,4,7,6,8,1,2]
[1,8,5,3,4,7,2,6]=>[4,5,3,7,8,6,1,2]
[1,8,2,4,6,3,7,5]=>[8,4,6,3,5,7,1,2]
[1,8,2,5,4,6,7,3]=>[5,4,6,8,3,7,1,2]
[3,6,2,7,1,4,5,8]=>[1,3,5,6,2,7,4,8]
[6,3,8,1,2,4,7,5]=>[2,8,4,5,1,6,7,3]
[1,3,7,4,6,2,8,5]=>[8,4,6,2,5,1,3,7]
[1,4,7,5,2,6,8,3]=>[6,2,4,8,5,1,3,7]
[4,5,2,7,1,3,8,6]=>[1,8,3,2,5,6,4,7]
[4,5,2,3,6,1,8,7]=>[3,1,4,2,5,8,6,7]
[4,6,5,3,7,1,8,2]=>[4,1,3,2,8,6,5,7]
[2,5,4,7,1,6,8,3]=>[3,2,6,8,1,5,4,7]
[4,2,3,8,6,7,1,5]=>[1,7,5,8,2,3,6,4]
[6,2,4,8,5,1,7,3]=>[8,3,6,2,1,5,7,4]
[5,2,4,8,1,3,7,6]=>[3,8,2,1,5,6,7,4]
[6,2,5,4,8,3,7,1]=>[4,3,6,1,8,2,7,5]
[6,4,3,5,8,2,7,1]=>[3,2,4,1,6,8,7,5]
[5,2,3,4,8,1,6,7]=>[2,3,4,1,6,7,8,5]
[3,5,2,4,7,1,6,8]=>[1,3,4,2,6,7,5,8]
[5,3,4,8,1,6,2,7]=>[2,3,1,7,5,6,8,4]
[4,5,3,7,1,6,2,8]=>[1,3,2,7,5,6,4,8]
[6,2,4,8,5,1,3,7]=>[3,6,7,2,1,5,8,4]
[7,6,3,8,5,1,2,4]=>[3,6,7,2,1,8,5,4]
[1,4,3,7,8,2,5,6]=>[2,6,7,3,4,8,1,5]
[4,2,6,7,3,8,1,5]=>[1,5,3,7,2,4,8,6]
[1,5,7,4,2,8,6,3]=>[2,4,8,7,5,1,3,6]
[1,3,7,2,8,6,4,5]=>[7,8,6,2,4,1,3,5]
[1,4,3,7,8,6,2,5]=>[7,2,4,8,3,6,1,5]
[1,5,3,6,8,2,7,4]=>[4,2,8,3,6,7,1,5]
[4,5,2,7,1,8,6,3]=>[1,2,8,7,3,5,4,6]
[4,3,6,5,7,8,1,2]=>[1,4,2,3,7,5,8,6]
[4,2,3,5,6,8,1,7]=>[2,3,1,4,5,7,8,6]
[5,2,6,4,7,8,3,1]=>[4,3,1,5,8,2,7,6]
[4,2,6,7,3,8,5,1]=>[1,3,8,5,2,4,7,6]
[3,2,5,6,8,1,7,4]=>[1,3,4,8,2,6,7,5]
[6,4,5,2,3,8,7,1]=>[2,8,4,3,1,5,7,6]
[8,4,6,7,5,2,3,1]=>[6,2,3,8,7,5,4,1]
[4,6,5,2,3,1,8,7]=>[1,4,5,3,2,8,6,7]
[6,4,2,5,3,1,8,7]=>[5,3,2,4,1,8,6,7]
[6,4,2,5,3,8,7,1]=>[4,2,8,3,1,5,7,6]
[8,6,4,7,5,2,3,1]=>[3,6,2,8,7,5,4,1]
[8,6,2,7,4,5,3,1]=>[5,8,7,3,2,6,4,1]
[6,4,2,5,8,7,3,1]=>[2,8,4,1,7,3,6,5]
[4,6,2,5,3,8,7,1]=>[1,4,8,3,2,5,7,6]
[4,6,5,2,3,8,7,1]=>[8,1,4,3,2,5,7,6]
[6,8,7,4,5,2,3,1]=>[1,6,4,8,7,5,3,2]
[4,8,6,7,5,2,3,1]=>[6,3,8,1,7,5,4,2]
[6,8,4,7,5,2,3,1]=>[3,1,6,8,7,5,4,2]
[6,8,2,7,4,5,3,1]=>[5,1,8,7,3,6,4,2]
[8,6,4,7,2,5,3,1]=>[3,8,5,2,7,6,4,1]
[8,6,2,4,7,5,3,1]=>[8,4,7,3,2,6,5,1]
[6,8,2,4,7,5,3,1]=>[8,4,1,7,3,6,5,2]
[4,8,2,6,7,5,3,1]=>[4,8,1,7,3,6,5,2]
[2,8,4,6,7,5,3,1]=>[4,8,3,7,6,1,5,2]
[2,8,6,7,4,5,3,1]=>[5,3,8,7,6,1,4,2]
[6,8,7,2,4,5,3,1]=>[5,1,8,4,7,6,3,2]
[2,6,4,5,8,7,3,1]=>[8,3,2,4,7,1,6,5]
[2,6,4,8,7,5,3,1]=>[2,8,7,3,6,1,5,4]
[4,6,2,8,7,5,3,1]=>[2,8,1,7,6,3,5,4]
[8,2,4,6,7,5,3,1]=>[4,8,3,7,2,6,5,1]
[6,2,4,8,7,5,3,1]=>[8,7,3,1,6,2,5,4]
[4,2,6,8,7,5,3,1]=>[8,1,3,7,6,2,5,4]
[4,2,6,5,8,7,3,1]=>[1,3,8,4,7,2,6,5]
[6,2,4,5,8,7,3,1]=>[8,3,4,1,7,2,6,5]
[8,2,6,7,4,5,3,1]=>[5,3,8,7,2,6,4,1]
[8,6,7,2,4,5,3,1]=>[5,8,4,2,7,6,3,1]
[6,4,5,2,8,7,3,1]=>[2,3,1,8,7,4,6,5]
[4,2,3,6,8,7,5,1]=>[1,8,4,7,2,3,6,5]
[6,4,5,8,7,2,3,1]=>[2,3,1,6,8,7,5,4]
[8,6,7,4,2,5,3,1]=>[8,5,4,2,7,6,3,1]
[8,4,6,7,2,5,3,1]=>[8,2,5,3,7,6,4,1]
[6,4,8,7,2,5,3,1]=>[8,2,1,5,7,6,4,3]
[6,2,8,7,4,5,3,1]=>[5,1,8,7,6,2,4,3]
[6,4,8,7,5,2,3,1]=>[6,1,8,2,7,5,4,3]
[4,6,8,7,5,2,3,1]=>[2,6,8,1,7,5,4,3]
[4,6,5,8,7,2,3,1]=>[3,1,2,6,8,7,5,4]
[2,1,6,8,7,4,5,3]=>[3,6,8,7,1,5,2,4]
[2,6,8,7,4,5,3,1]=>[2,5,8,7,6,1,4,3]
[2,4,8,6,7,5,3,1]=>[4,8,7,2,6,1,5,3]
[4,2,8,6,7,5,3,1]=>[4,8,1,7,6,2,5,3]
[6,2,8,4,7,5,3,1]=>[8,4,1,7,6,2,5,3]
[8,2,6,4,7,5,3,1]=>[8,4,3,7,2,6,5,1]
[6,4,8,2,7,5,3,1]=>[8,2,1,7,4,6,5,3]
[4,6,8,2,7,5,3,1]=>[2,8,1,7,4,6,5,3]
[2,6,8,4,7,5,3,1]=>[2,8,4,7,6,1,5,3]
[4,6,8,7,2,5,3,1]=>[2,8,1,5,7,6,4,3]
[4,6,5,8,2,7,3,1]=>[3,1,2,8,5,7,6,4]
[2,1,6,8,4,7,5,3]=>[3,8,5,7,1,6,2,4]
[2,1,8,6,4,7,5,3]=>[8,5,4,7,1,6,2,3]
[6,8,7,4,2,5,3,1]=>[1,8,5,4,7,6,3,2]
[2,8,6,4,7,5,3,1]=>[8,4,3,7,6,1,5,2]
[4,8,6,2,7,5,3,1]=>[8,7,1,4,3,6,5,2]
[4,2,5,6,3,8,1,7]=>[3,1,5,2,4,7,8,6]
[6,2,5,7,4,8,3,1]=>[3,5,4,1,8,2,7,6]
[8,5,2,1,4,7,6,3]=>[8,3,5,2,7,4,6,1]
[6,7,3,2,5,8,4,1]=>[3,5,1,8,4,2,7,6]
[3,2,6,4,8,1,5,7]=>[1,4,6,2,3,7,8,5]
[2,3,6,4,7,8,5,1]=>[5,3,8,1,2,4,7,6]
[7,5,1,8,3,4,6,2]=>[5,6,2,8,7,3,1,4]
[5,7,8,2,6,3,4,1]=>[1,6,8,4,2,7,5,3]
[7,1,6,3,5,8,4,2]=>[5,8,4,3,7,2,1,6]
[6,3,1,7,8,4,5,2]=>[6,2,4,1,8,7,3,5]
[5,3,6,7,4,1,8,2]=>[3,1,8,2,6,5,4,7]
[7,3,1,2,5,8,6,4]=>[2,8,5,7,3,4,1,6]
[1,6,3,5,2,4,8,7]=>[8,3,5,4,1,2,6,7]
[3,4,8,2,7,5,1,6]=>[7,1,2,4,6,8,5,3]
[6,3,2,8,5,7,4,1]=>[5,8,2,1,7,3,6,4]
[3,8,4,7,2,5,6,1]=>[3,5,6,8,1,7,4,2]
[2,4,8,1,5,3,7,6]=>[2,5,8,1,4,6,7,3]
[3,4,8,1,6,2,7,5]=>[8,1,2,6,4,5,7,3]
[1,8,4,6,7,3,5,2]=>[6,3,4,8,7,5,1,2]
[8,1,6,3,4,5,7,2]=>[4,5,6,3,8,2,7,1]
[7,6,5,4,1,2,8,3]=>[8,5,6,4,3,2,1,7]
[5,7,6,8,3,4,2,1]=>[5,1,3,2,8,7,6,4]
[2,8,1,6,5,7,4,3]=>[5,4,8,7,1,3,6,2]
[4,6,8,2,5,3,7,1]=>[6,1,4,2,5,8,7,3]
[5,2,3,7,6,1,8,4]=>[8,6,2,1,3,5,4,7]
[8,1,2,4,6,7,3,5]=>[7,4,5,8,2,3,6,1]
[5,2,3,7,4,8,6,1]=>[8,5,2,1,3,4,7,6]
[5,2,6,8,4,3,1,7]=>[3,1,7,6,2,5,8,4]
[7,8,1,5,4,3,6,2]=>[6,5,4,8,3,1,7,2]
[7,2,4,8,5,3,6,1]=>[6,3,5,8,2,1,7,4]
[3,7,5,1,8,4,6,2]=>[6,3,8,1,7,4,2,5]
[2,7,8,5,4,6,1,3]=>[7,5,4,2,8,1,6,3]
[5,7,4,3,8,6,2,1]=>[1,3,8,4,2,7,6,5]
[4,8,1,6,3,5,2,7]=>[1,5,7,6,3,4,8,2]
[8,3,1,7,4,2,5,6]=>[2,6,5,7,8,3,4,1]
[3,1,8,2,4,5,7,6]=>[1,8,4,5,6,7,2,3]
[8,1,3,7,6,2,4,5]=>[6,7,8,3,5,2,4,1]
[2,3,6,8,7,1,4,5]=>[6,3,7,8,1,2,5,4]
[4,3,2,8,5,7,1,6]=>[2,1,5,7,8,3,6,4]
[3,6,4,2,8,5,7,1]=>[3,6,1,2,8,4,7,5]
[4,7,3,2,5,1,8,6]=>[1,4,3,5,8,6,2,7]
[3,2,4,7,5,8,6,1]=>[8,1,5,2,3,4,7,6]
[4,2,3,8,6,5,1,7]=>[1,7,6,2,3,5,8,4]
[2,4,3,5,1,8,6,7]=>[3,1,2,4,7,8,5,6]
[3,2,8,1,4,6,5,7]=>[1,7,2,4,5,6,8,3]
[3,7,8,5,6,1,2,4]=>[6,7,4,1,2,8,5,3]
[3,6,1,8,4,7,2,5]=>[5,7,1,2,8,6,3,4]
[3,1,6,8,4,7,2,5]=>[5,1,3,7,8,6,2,4]
[4,1,6,8,3,2,7,5]=>[1,5,3,8,6,7,2,4]
[4,6,1,8,3,2,7,5]=>[1,5,8,6,2,7,3,4]
[4,7,8,1,3,2,6,5]=>[1,5,8,4,6,2,7,3]
[4,7,8,3,1,2,6,5]=>[8,1,5,4,6,2,7,3]
[2,7,8,3,4,6,5,1]=>[8,4,5,2,7,1,6,3]
[4,7,8,2,1,3,6,5]=>[1,4,8,5,6,2,7,3]
[4,6,1,8,2,3,7,5]=>[1,8,5,6,2,7,3,4]
[4,1,6,8,2,3,7,5]=>[1,8,5,3,6,7,2,4]
[4,5,1,2,8,3,7,6]=>[1,8,6,2,7,3,4,5]
[4,5,2,1,8,3,7,6]=>[1,8,3,2,6,7,4,5]
[4,6,2,8,1,3,7,5]=>[1,8,3,5,2,6,7,4]
[3,6,2,8,4,7,1,5]=>[5,7,1,2,8,3,6,4]
[2,3,6,8,4,7,5,1]=>[3,8,5,7,1,2,6,4]
[3,2,6,8,4,7,1,5]=>[5,1,3,7,8,2,6,4]
[4,2,6,8,3,1,7,5]=>[1,5,3,8,2,6,7,4]
[4,2,5,1,8,3,7,6]=>[3,1,8,2,6,7,4,5]
[4,1,2,5,8,3,7,6]=>[8,4,1,6,7,2,3,5]
[5,1,2,4,3,8,7,6]=>[8,4,7,2,1,3,5,6]
[5,2,4,1,3,8,7,6]=>[3,8,2,1,7,4,5,6]
[4,2,5,3,8,1,7,6]=>[3,1,8,2,4,6,7,5]
[3,2,5,4,8,7,1,6]=>[1,3,7,8,2,4,6,5]
[3,5,2,4,8,7,1,6]=>[7,1,2,8,3,4,6,5]
[5,4,2,1,3,8,7,6]=>[8,3,2,1,7,4,5,6]
[5,1,4,2,3,8,7,6]=>[3,8,7,2,1,4,5,6]
[5,4,1,3,2,8,7,6]=>[8,4,2,1,7,3,5,6]
[5,4,3,1,2,8,7,6]=>[3,2,1,8,7,4,5,6]
[4,5,3,1,8,2,7,6]=>[1,3,2,8,6,7,4,5]
[4,5,1,3,8,2,7,6]=>[1,8,4,2,6,7,3,5]
[3,1,5,4,8,7,2,6]=>[1,3,7,8,4,6,2,5]
[3,5,1,4,8,7,2,6]=>[7,1,2,8,4,6,3,5]
[3,5,4,1,8,7,2,6]=>[3,1,2,7,8,6,4,5]
[3,6,5,8,7,1,2,4]=>[6,3,1,2,7,8,5,4]
[2,5,6,8,7,3,4,1]=>[2,3,6,8,7,1,5,4]
[3,4,5,1,8,7,2,6]=>[1,2,3,7,8,6,4,5]
[3,4,1,5,8,7,2,6]=>[1,2,7,8,4,6,3,5]
[4,1,3,5,8,2,7,6]=>[8,3,1,4,6,7,2,5]
[4,3,6,8,2,1,7,5]=>[1,5,2,3,8,6,7,4]
[2,4,6,8,3,7,5,1]=>[3,8,2,5,7,1,6,4]
[3,4,5,2,8,7,1,6]=>[1,2,3,7,8,4,6,5]
[5,3,1,4,2,8,7,6]=>[2,8,4,1,7,3,5,6]
[5,1,3,4,2,8,7,6]=>[8,3,4,1,7,2,5,6]
[5,1,3,2,4,8,7,6]=>[8,3,7,2,1,4,5,6]
[5,3,2,1,4,8,7,6]=>[2,8,3,1,7,4,5,6]
[4,3,2,5,8,1,7,6]=>[2,1,8,3,4,6,7,5]
[3,4,2,5,8,7,1,6]=>[1,2,7,8,3,4,6,5]
[3,2,4,5,8,7,1,6]=>[1,7,8,2,3,4,6,5]
[4,2,3,5,8,1,7,6]=>[8,2,1,3,4,6,7,5]
[5,2,3,1,4,8,7,6]=>[8,2,3,1,7,4,5,6]
[5,2,1,3,4,8,7,6]=>[8,2,7,3,1,4,5,6]
[5,1,2,3,4,8,7,6]=>[8,7,2,3,1,4,5,6]
[8,6,2,5,4,1,3,7]=>[6,7,3,5,4,2,8,1]
[6,5,7,4,2,8,3,1]=>[2,1,8,5,4,3,7,6]
[6,7,5,3,8,2,4,1]=>[4,1,6,3,2,8,7,5]
[8,2,1,6,3,4,5,7]=>[2,5,6,7,3,4,8,1]
[8,3,5,6,2,4,1,7]=>[5,2,3,7,6,4,8,1]
[8,6,2,1,3,5,4,7]=>[3,7,4,5,6,2,8,1]
[8,1,2,3,4,6,5,7]=>[7,2,3,4,5,6,8,1]
[6,2,3,7,8,4,5,1]=>[6,4,8,2,1,3,7,5]
[7,5,8,2,6,3,4,1]=>[6,2,8,4,1,7,5,3]
[7,3,1,6,5,8,4,2]=>[5,2,4,8,7,3,1,6]
[1,5,6,7,3,4,8,2]=>[2,5,3,6,4,8,1,7]
[6,7,8,2,1,4,5,3]=>[4,6,1,8,5,2,7,3]
[8,4,7,6,2,1,3,5]=>[2,6,5,7,8,4,3,1]
[5,3,8,4,7,2,6,1]=>[4,1,6,8,2,7,5,3]
[8,1,3,7,6,4,2,5]=>[7,6,8,3,5,2,4,1]
[5,3,1,7,8,6,2,4]=>[7,2,1,4,8,6,3,5]
[3,5,8,2,7,1,6,4]=>[2,8,1,4,6,7,5,3]
[6,2,8,5,3,1,7,4]=>[5,8,6,2,1,4,7,3]
[8,2,6,4,7,1,3,5]=>[6,4,7,2,3,8,5,1]
[3,4,2,8,5,1,7,6]=>[1,2,5,8,3,6,7,4]
[3,8,6,5,2,1,7,4]=>[5,8,6,1,4,3,7,2]
[8,3,7,4,2,5,6,1]=>[5,2,4,6,8,7,3,1]
[4,8,5,7,2,1,3,6]=>[6,1,5,3,7,8,4,2]
[3,4,1,8,2,6,7,5]=>[1,2,6,8,5,7,3,4]
[8,4,6,3,7,1,5,2]=>[2,4,8,6,3,7,5,1]
[6,8,3,4,1,5,7,2]=>[3,6,4,1,8,5,7,2]
[5,1,7,6,2,8,4,3]=>[1,8,7,5,4,2,3,6]
[6,8,2,5,7,4,1,3]=>[7,4,1,8,3,6,5,2]
[2,8,5,6,7,1,3,4]=>[6,3,7,4,8,1,5,2]
[2,5,7,6,3,1,8,4]=>[2,5,8,6,1,4,3,7]
[4,2,8,3,1,5,6,7]=>[5,2,1,4,6,7,8,3]
[2,5,7,3,8,4,6,1]=>[2,6,8,4,1,3,7,5]
[4,2,7,1,8,5,3,6]=>[1,7,6,8,2,4,3,5]
[4,2,1,8,7,5,6,3]=>[1,6,8,7,2,5,3,4]
[8,3,6,7,1,5,4,2]=>[8,7,2,5,3,6,4,1]
[1,3,7,5,8,6,4,2]=>[8,4,3,7,2,6,1,5]
[5,7,8,4,3,1,6,2]=>[8,1,6,5,4,2,7,3]
[2,7,4,5,8,3,6,1]=>[3,4,6,2,8,1,7,5]
[3,5,7,1,4,8,6,2]=>[2,8,1,5,7,4,3,6]
[7,2,8,5,1,4,6,3]=>[6,8,5,2,4,1,7,3]
[1,6,5,3,8,4,2,7]=>[7,4,3,2,6,8,1,5]
[5,7,4,8,3,6,2,1]=>[1,3,5,2,8,7,6,4]
[4,8,6,1,3,5,2,7]=>[1,5,7,4,6,3,8,2]
[1,8,3,2,4,7,5,6]=>[3,7,8,4,5,6,1,2]
[8,4,3,2,5,7,1,6]=>[4,3,2,5,7,8,6,1]
[3,6,4,8,2,5,7,1]=>[3,5,1,2,6,8,7,4]
[4,3,7,2,5,8,1,6]=>[2,1,4,5,7,3,8,6]
[3,2,4,7,8,5,6,1]=>[6,1,4,8,2,3,7,5]
[2,6,4,3,8,5,1,7]=>[3,7,4,1,2,6,8,5]
[3,8,2,1,6,4,5,7]=>[1,3,6,7,4,5,8,2]
[8,2,1,3,4,5,7,6]=>[2,8,3,4,5,6,7,1]
[4,6,8,3,2,1,5,7]=>[6,1,5,4,2,7,8,3]
[3,2,6,8,5,4,1,7]=>[3,7,1,6,2,5,8,4]
[7,3,8,2,5,4,1,6]=>[7,2,4,6,5,1,8,3]
[4,2,5,3,8,7,6,1]=>[1,8,3,7,2,4,6,5]
[4,8,2,6,5,3,1,7]=>[7,1,6,3,5,4,8,2]
[2,6,8,5,4,1,3,7]=>[6,2,7,5,1,4,8,3]
[3,1,8,6,5,4,2,7]=>[7,6,1,5,4,8,2,3]
[5,4,8,7,3,2,6,1]=>[1,6,2,5,8,7,4,3]
[6,4,8,3,7,2,5,1]=>[2,4,1,6,8,7,5,3]
[4,7,3,6,2,1,8,5]=>[1,3,5,8,6,4,2,7]
[5,4,3,7,1,8,2,6]=>[3,2,1,7,8,5,4,6]
[7,3,8,5,1,4,2,6]=>[7,2,5,6,4,1,8,3]
[5,4,8,7,6,2,1,3]=>[1,7,2,6,8,5,4,3]
[3,8,1,5,7,4,6,2]=>[4,6,8,1,7,3,5,2]
[4,8,5,7,3,1,6,2]=>[3,8,1,6,5,7,4,2]
[1,5,4,8,3,7,6,2]=>[2,8,3,5,7,6,1,4]
[4,8,3,6,7,1,5,2]=>[8,1,3,6,4,7,5,2]
[4,7,8,3,1,6,5,2]=>[4,8,1,7,5,2,6,3]
[8,7,5,3,6,4,2,1]=>[8,4,3,7,6,5,2,1]
[4,6,1,3,8,7,5,2]=>[8,1,7,4,2,6,3,5]
[6,8,2,1,7,4,5,3]=>[6,8,3,1,7,4,5,2]
[3,7,1,6,4,2,8,5]=>[5,8,1,6,3,4,2,7]
[3,1,2,7,5,6,8,4]=>[1,5,6,4,8,2,3,7]
[3,6,1,2,7,5,8,4]=>[6,1,5,8,3,2,4,7]
[3,7,6,2,5,8,1,4]=>[7,4,5,1,3,2,8,6]
[3,6,2,5,8,7,4,1]=>[8,4,1,2,7,3,6,5]
[8,5,2,3,6,7,4,1]=>[5,8,3,2,4,7,6,1]
[4,7,2,6,3,8,1,5]=>[1,5,7,3,4,2,8,6]
[6,3,2,4,8,7,5,1]=>[8,2,7,3,1,4,6,5]
[3,7,2,4,6,1,8,5]=>[8,1,3,4,6,5,2,7]
[5,3,7,2,8,1,4,6]=>[2,4,1,6,7,3,8,5]
[6,3,2,8,7,5,1,4]=>[7,8,2,1,6,3,5,4]
[7,3,8,2,6,5,1,4]=>[7,8,2,4,1,6,5,3]
[6,4,8,7,2,5,1,3]=>[2,5,1,7,8,6,4,3]
[2,5,4,8,1,7,6,3]=>[2,8,3,7,1,5,6,4]
[5,2,8,1,7,6,3,4]=>[7,1,8,6,2,4,5,3]
[6,2,1,3,8,7,5,4]=>[8,7,2,6,3,1,4,5]
[3,6,1,8,7,5,2,4]=>[7,2,8,1,6,5,3,4]
[5,6,1,2,8,7,4,3]=>[1,8,7,6,3,2,4,5]
[7,5,2,8,1,6,4,3]=>[8,7,3,2,5,1,6,4]
[2,7,6,8,1,5,4,3]=>[8,7,5,3,1,2,6,4]
[7,8,5,1,6,2,4,3]=>[8,6,7,4,3,1,5,2]
[7,4,8,6,1,2,5,3]=>[2,8,5,6,1,7,4,3]
[7,2,1,8,3,6,5,4]=>[8,7,2,5,6,3,1,4]
[5,8,7,1,6,4,3,2]=>[8,1,7,6,4,5,3,2]
[8,5,4,3,7,2,1,6]=>[4,3,2,7,6,8,5,1]
[6,5,4,8,3,2,7,1]=>[3,2,1,6,5,8,7,4]
[7,6,4,3,2,8,5,1]=>[4,3,8,5,2,1,7,6]
[7,3,1,4,8,2,5,6]=>[4,2,6,7,8,3,1,5]
[7,4,1,2,5,8,3,6]=>[5,7,2,8,3,4,1,6]
[6,7,4,2,5,1,3,8]=>[4,6,3,1,7,5,2,8]
[5,7,2,4,6,8,1,3]=>[4,1,7,3,5,2,8,6]
[4,7,5,1,6,2,8,3]=>[8,1,6,4,3,5,2,7]
[5,7,4,6,3,1,8,2]=>[1,3,8,6,5,4,2,7]
[7,5,1,4,3,2,8,6]=>[5,4,8,3,2,6,1,7]
[8,6,4,2,3,7,5,1]=>[8,4,3,5,2,7,6,1]
[6,4,7,1,3,8,5,2]=>[2,8,5,1,7,4,3,6]
[5,4,2,7,3,1,6,8]=>[6,3,2,1,5,7,4,8]
[4,5,1,2,7,6,8,3]=>[1,6,5,2,8,3,4,7]
[5,4,6,8,3,1,2,7]=>[2,1,6,3,7,5,8,4]
[6,4,8,1,3,7,2,5]=>[5,2,7,1,8,4,6,3]
[4,6,1,3,8,5,2,7]=>[1,7,4,6,2,8,3,5]
[1,3,8,4,5,7,2,6]=>[4,5,7,8,2,6,1,3]
[2,6,7,4,5,3,1,8]=>[4,2,7,6,1,5,3,8]
[2,6,8,4,3,5,1,7]=>[5,4,2,7,1,6,8,3]
[1,3,7,4,2,8,5,6]=>[4,7,8,2,5,1,3,6]
[4,6,1,3,7,2,5,8]=>[4,1,6,7,3,2,5,8]
[7,5,8,6,2,1,3,4]=>[6,5,2,7,1,8,4,3]
[2,8,1,3,6,5,4,7]=>[7,6,1,3,4,5,8,2]
[2,8,7,3,5,4,1,6]=>[7,4,6,5,8,1,3,2]
[3,4,2,6,8,7,1,5]=>[1,2,4,7,8,3,6,5]
[7,4,2,3,6,1,8,5]=>[8,3,2,4,6,5,1,7]
[8,4,2,3,6,5,7,1]=>[6,3,2,4,5,8,7,1]
[7,3,8,4,1,2,6,5]=>[8,2,5,4,6,1,7,3]
[6,8,3,2,7,1,5,4]=>[3,8,4,1,6,7,5,2]
[2,8,5,6,3,7,1,4]=>[5,3,7,4,8,1,6,2]
[7,4,2,5,8,1,6,3]=>[4,2,8,3,6,1,7,5]
[2,7,8,3,4,5,1,6]=>[4,5,7,6,1,2,8,3]
[3,7,1,2,4,6,5,8]=>[1,7,3,4,5,6,2,8]
[7,5,6,8,2,1,4,3]=>[5,2,8,6,3,1,7,4]
[3,1,6,5,2,7,4,8]=>[7,1,5,4,2,3,6,8]
[2,8,6,5,3,4,1,7]=>[5,7,6,4,1,3,8,2]
[1,7,2,3,5,6,8,4]=>[5,6,8,3,4,1,2,7]
[3,7,4,2,1,5,6,8]=>[5,1,4,3,6,7,2,8]
[3,4,6,2,8,5,7,1]=>[6,1,2,3,8,4,7,5]
[4,2,1,7,5,8,3,6]=>[5,1,7,2,4,8,3,6]
[4,7,2,6,5,1,3,8]=>[1,6,7,3,5,4,2,8]
[3,7,4,1,2,5,8,6]=>[8,1,4,3,5,6,2,7]
[4,7,1,6,5,2,8,3]=>[8,1,6,5,3,4,2,7]
[4,7,3,6,5,1,8,2]=>[8,1,3,6,5,4,2,7]
[4,3,7,1,6,8,5,2]=>[1,5,8,2,7,4,3,6]
[4,2,1,7,5,6,8,3]=>[5,1,6,2,4,8,3,7]
[3,2,4,8,6,7,1,5]=>[7,1,5,8,2,3,6,4]
[4,2,6,8,7,3,1,5]=>[1,3,7,6,8,2,5,4]
[3,4,6,1,8,5,2,7]=>[7,1,2,6,3,8,4,5]
[4,1,6,7,5,8,2,3]=>[1,3,7,5,4,8,2,6]
[4,3,6,7,5,1,2,8]=>[1,6,2,3,7,5,4,8]
[4,3,7,1,6,8,2,5]=>[1,7,2,5,8,4,3,6]
[4,3,7,5,6,8,2,1]=>[1,4,5,2,3,8,7,6]
[4,1,7,3,6,5,2,8]=>[1,7,4,6,5,2,3,8]
[2,8,7,4,5,3,1,6]=>[4,7,6,5,8,1,3,2]
[2,8,7,4,3,5,1,6]=>[5,4,7,6,8,1,3,2]
[3,8,1,4,2,6,5,7]=>[1,4,7,3,5,6,8,2]
[4,1,7,3,6,2,5,8]=>[4,1,6,7,5,2,3,8]
[5,8,7,6,1,2,4,3]=>[1,8,5,6,7,4,3,2]
[5,8,7,6,2,1,3,4]=>[1,6,5,7,8,4,3,2]
[4,1,7,2,6,8,5,3]=>[1,5,8,7,4,2,3,6]
[4,2,7,3,6,1,8,5]=>[1,8,4,6,2,5,3,7]
[4,2,7,3,6,5,8,1]=>[1,6,4,5,2,3,8,7]
[3,8,2,4,5,6,7,1]=>[1,3,4,5,6,8,7,2]
[3,8,2,4,1,6,7,5]=>[1,3,4,6,8,5,7,2]
[3,8,5,6,2,4,1,7]=>[5,3,7,1,6,4,8,2]
[2,8,6,5,3,7,1,4]=>[5,7,4,3,8,1,6,2]
[3,8,6,5,1,4,7,2]=>[6,8,5,1,4,3,7,2]
[3,8,2,1,4,6,7,5]=>[1,3,6,8,4,5,7,2]
[3,8,2,5,4,6,7,1]=>[5,1,3,4,6,8,7,2]
[4,2,7,5,6,3,8,1]=>[1,4,6,5,2,3,8,7]
[4,2,7,5,6,1,8,3]=>[1,4,8,6,2,5,3,7]
[4,2,6,7,5,3,1,8]=>[1,3,7,6,2,5,4,8]
[3,2,6,1,4,5,8,7]=>[1,8,2,4,5,3,6,7]
[2,8,7,3,4,5,1,6]=>[4,5,7,6,8,1,3,2]
[3,8,1,2,4,6,5,7]=>[1,7,3,4,5,6,8,2]
[5,8,7,6,1,3,4,2]=>[1,6,8,5,7,4,3,2]
[5,8,7,6,2,3,4,1]=>[1,5,6,8,7,4,3,2]
[4,1,7,5,6,2,3,8]=>[1,6,4,7,5,2,3,8]
[3,8,1,5,2,6,4,7]=>[7,1,5,3,4,6,8,2]
[2,8,7,5,3,4,1,6]=>[5,7,6,4,8,1,3,2]
[2,8,7,5,4,3,1,6]=>[7,6,5,4,8,1,3,2]
[4,1,7,5,6,3,2,8]=>[1,4,7,6,5,2,3,8]
[5,8,7,6,1,3,2,4]=>[1,7,5,6,8,4,3,2]
[5,8,7,6,4,1,2,3]=>[1,6,7,8,5,4,3,2]
[5,4,2,3,7,6,8,1]=>[6,3,2,1,4,5,8,7]
[7,4,3,5,2,8,1,6]=>[3,2,5,4,7,1,8,6]
[8,4,3,7,5,1,6,2]=>[2,8,3,6,5,7,4,1]
[8,4,7,2,5,1,6,3]=>[2,8,4,6,5,7,3,1]
[7,4,6,2,3,5,8,1]=>[4,2,5,6,3,1,8,7]
[5,1,7,2,4,6,8,3]=>[5,6,1,8,4,2,3,7]
[4,5,7,1,2,6,8,3]=>[1,6,2,8,4,5,3,7]
[5,4,1,7,3,6,8,2]=>[5,2,1,6,4,8,3,7]
[3,6,4,7,5,2,8,1]=>[6,3,1,2,5,4,8,7]
[3,4,7,6,2,5,8,1]=>[5,6,1,2,4,3,8,7]
[4,7,5,6,1,3,8,2]=>[6,1,3,8,5,4,2,7]
[5,7,6,4,3,1,8,2]=>[8,1,6,5,4,3,2,7]
[5,7,6,3,1,4,8,2]=>[1,6,4,8,5,3,2,7]
[7,5,2,3,4,8,1,6]=>[3,4,5,2,7,1,8,6]
[8,7,5,3,4,1,6,2]=>[4,8,6,5,3,7,2,1]
[6,7,1,3,8,4,2,5]=>[7,4,6,1,8,3,2,5]
[7,6,1,3,4,8,5,2]=>[8,4,5,7,3,2,1,6]
[3,6,5,2,7,8,1,4]=>[7,4,1,3,2,5,8,6]
[3,2,8,6,7,1,4,5]=>[6,7,1,4,8,2,5,3]
[4,8,3,6,5,2,1,7]=>[7,1,3,6,5,4,8,2]
[1,8,6,5,4,2,3,7]=>[6,7,5,4,3,8,1,2]
[1,8,7,2,3,5,4,6]=>[7,4,5,6,8,3,1,2]
[1,8,7,2,5,3,4,6]=>[6,7,4,5,8,3,1,2]
[3,6,8,5,1,2,4,7]=>[5,6,1,2,7,4,8,3]
[3,7,5,1,8,2,6,4]=>[8,6,1,3,7,4,2,5]
[7,1,2,8,3,5,6,4]=>[6,8,5,7,2,3,1,4]
[6,1,7,8,2,5,3,4]=>[7,8,5,3,1,6,2,4]
[6,7,5,2,8,1,4,3]=>[8,4,1,6,3,2,7,5]
[7,1,4,5,8,6,2,3]=>[3,4,7,8,6,2,1,5]
[5,7,6,4,2,8,1,3]=>[1,5,7,4,3,2,8,6]
[7,5,6,1,2,8,4,3]=>[8,7,4,2,5,3,1,6]
[4,1,3,7,8,6,2,5]=>[1,7,4,8,3,6,2,5]
[5,1,4,3,6,8,7,2]=>[3,8,4,1,5,7,2,6]
[4,5,7,6,8,2,1,3]=>[7,1,2,6,4,3,8,5]
[5,7,6,8,4,2,1,3]=>[7,1,6,3,2,8,5,4]
[5,1,6,8,4,2,7,3]=>[3,1,8,6,5,7,2,4]
[7,4,8,2,3,6,5,1]=>[2,8,4,5,1,7,6,3]
[5,6,8,4,7,3,2,1]=>[1,2,4,8,7,6,5,3]
[6,4,7,8,5,2,1,3]=>[7,2,1,6,3,8,5,4]
[3,6,4,8,5,1,2,7]=>[3,6,1,2,7,5,8,4]
[3,7,4,8,1,2,5,6]=>[5,1,3,6,7,2,8,4]
[7,4,3,8,2,6,5,1]=>[2,8,3,5,1,7,6,4]
[7,6,8,3,2,5,4,1]=>[4,8,5,2,1,7,6,3]
[8,7,1,3,5,4,6,2]=>[6,4,5,8,3,7,2,1]
[7,1,8,3,4,2,6,5]=>[4,5,8,6,7,2,1,3]
[7,6,8,3,1,4,5,2]=>[6,4,8,5,2,1,7,3]
[3,1,4,8,2,5,7,6]=>[1,8,3,5,6,7,2,4]
[4,8,5,2,1,3,6,7]=>[1,5,4,6,3,7,8,2]
[5,8,2,6,3,1,4,7]=>[6,3,1,5,7,4,8,2]
[6,8,2,3,7,4,1,5]=>[7,3,4,1,6,8,5,2]
[7,8,2,3,4,6,5,1]=>[8,3,4,5,1,7,6,2]
[8,1,7,2,4,5,3,6]=>[5,7,4,6,8,2,3,1]
[8,1,3,6,2,5,4,7]=>[7,3,5,6,2,4,8,1]
[7,2,1,6,3,5,4,8]=>[7,2,5,6,3,4,1,8]
[2,7,1,6,3,5,4,8]=>[7,5,6,1,3,4,2,8]
[2,7,1,5,4,3,6,8]=>[6,5,1,3,4,7,2,8]
[7,2,1,5,4,3,6,8]=>[6,2,5,3,4,7,1,8]
[8,1,3,5,4,2,6,7]=>[6,3,5,2,4,7,8,1]
[8,1,5,3,4,2,6,7]=>[4,6,5,2,3,7,8,1]
[8,1,5,6,2,3,7,4]=>[8,5,3,6,2,4,7,1]
[8,1,4,5,3,2,6,7]=>[3,6,5,2,4,7,8,1]
[8,1,4,3,5,2,6,7]=>[4,3,6,2,5,7,8,1]
[7,2,1,4,5,3,6,8]=>[2,4,6,3,5,7,1,8]
[2,7,1,4,5,3,6,8]=>[4,6,1,3,5,7,2,8]
[2,6,3,1,5,4,7,8]=>[3,6,1,4,5,2,7,8]
[6,3,2,1,5,4,7,8]=>[3,2,6,4,5,1,7,8]
[7,3,1,4,5,2,6,8]=>[4,2,6,3,5,7,1,8]
[7,3,1,5,4,2,6,8]=>[2,6,5,3,4,7,1,8]
[7,3,1,6,2,5,4,8]=>[2,7,5,6,3,4,1,8]
[3,7,1,6,2,5,4,8]=>[7,1,5,6,3,4,2,8]
[3,7,1,4,5,2,6,8]=>[1,4,6,3,5,7,2,8]
[3,6,2,1,5,4,7,8]=>[1,3,6,4,5,2,7,8]
[2,3,6,1,5,4,7,8]=>[6,1,2,4,5,3,7,8]
[3,5,2,4,1,6,7,8]=>[1,3,5,4,2,6,7,8]
[6,3,4,1,5,2,7,8]=>[2,6,4,3,5,1,7,8]
[6,2,4,1,5,3,7,8]=>[6,2,4,3,5,1,7,8]
[2,6,4,1,5,3,7,8]=>[6,4,1,3,5,2,7,8]
[2,6,5,1,3,7,4,8]=>[7,4,5,1,3,2,6,8]
[6,2,5,1,3,7,4,8]=>[7,2,4,5,3,1,6,8]
[6,5,2,1,3,7,4,8]=>[3,7,4,5,2,1,6,8]
[7,6,1,2,4,5,3,8]=>[5,7,3,4,6,2,1,8]
[6,7,1,2,8,3,5,4]=>[8,6,7,3,1,4,2,5]
[6,7,1,2,5,4,3,8]=>[7,6,3,4,1,5,2,8]
[5,6,2,1,3,7,4,8]=>[3,7,4,1,5,2,6,8]
[5,2,6,1,3,7,4,8]=>[7,2,4,1,5,3,6,8]
[2,4,6,1,5,3,7,8]=>[2,6,1,4,5,3,7,8]
[4,7,1,3,5,2,6,8]=>[4,1,6,3,5,7,2,8]
[4,7,1,5,3,2,6,8]=>[1,6,5,3,4,7,2,8]
[5,7,1,4,2,6,3,8]=>[7,5,3,1,4,6,2,8]
[5,7,1,6,2,3,8,4]=>[8,5,1,6,3,4,2,7]
[5,6,3,1,2,7,4,8]=>[7,4,3,1,5,2,6,8]
[4,2,5,3,1,6,7,8]=>[5,2,1,4,3,6,7,8]
[5,3,6,1,2,7,4,8]=>[2,7,4,1,5,3,6,8]
[3,4,6,1,5,2,7,8]=>[1,2,6,4,5,3,7,8]
[6,5,1,8,7,3,4,2]=>[6,2,1,8,7,5,3,4]
[8,2,7,5,4,1,3,6]=>[6,7,5,2,4,8,3,1]
[6,8,5,2,3,4,1,7]=>[4,5,1,7,6,3,8,2]
[2,6,8,7,1,5,3,4]=>[7,2,8,5,6,1,4,3]
[8,5,6,2,7,1,4,3]=>[8,4,2,6,3,7,5,1]
[6,5,1,2,7,8,4,3]=>[5,8,7,3,2,1,4,6]
[4,7,6,1,5,3,8,2]=>[6,1,5,8,4,3,2,7]
[5,7,6,4,1,3,8,2]=>[1,6,8,5,4,3,2,7]
[7,6,2,4,5,3,8,1]=>[4,6,3,5,2,1,8,7]
[6,1,7,5,3,8,4,2]=>[8,5,4,3,1,7,2,6]
[8,6,7,5,3,1,4,2]=>[8,6,5,2,7,4,3,1]
[8,5,2,7,1,6,4,3]=>[8,7,3,2,5,6,4,1]
[7,6,1,5,3,8,4,2]=>[8,5,4,7,3,2,1,6]
[5,6,2,4,7,8,1,3]=>[4,1,7,3,2,5,8,6]
[3,4,6,1,7,8,5,2]=>[5,1,2,3,8,7,4,6]
[3,4,8,6,7,1,5,2]=>[8,6,1,2,4,7,5,3]
[4,8,5,6,7,2,3,1]=>[3,6,1,4,8,7,5,2]
[5,8,6,4,1,2,7,3]=>[1,8,5,6,4,3,7,2]
[5,8,6,1,7,2,4,3]=>[1,8,6,7,4,3,5,2]
[5,8,7,3,2,6,4,1]=>[1,4,8,5,7,6,3,2]
[5,8,1,7,2,6,4,3]=>[1,8,7,5,6,3,4,2]
[8,1,5,7,2,6,4,3]=>[3,8,7,5,6,2,4,1]
[8,1,7,2,5,6,3,4]=>[7,5,8,4,6,2,3,1]
[6,8,7,2,5,1,3,4]=>[4,6,1,7,8,5,3,2]
[5,8,7,2,1,6,3,4]=>[4,1,7,8,5,6,3,2]
[4,8,1,5,2,6,7,3]=>[1,6,4,8,3,5,7,2]
[3,7,8,5,1,6,2,4]=>[7,8,5,1,4,2,6,3]
[6,5,2,7,8,1,4,3]=>[8,6,3,2,1,4,7,5]
[7,1,2,8,5,6,3,4]=>[7,5,8,6,2,3,1,4]
[8,7,2,1,5,6,3,4]=>[7,3,5,8,4,6,2,1]
[8,6,7,1,5,2,3,4]=>[6,7,8,4,2,5,3,1]
[6,1,7,8,5,2,3,4]=>[6,7,3,1,8,5,2,4]
[7,5,6,2,1,8,4,3]=>[8,4,2,7,5,3,1,6]
[8,7,5,2,1,6,4,3]=>[8,4,7,5,3,6,2,1]
[7,1,3,5,8,6,2,4]=>[4,7,8,3,6,2,1,5]
[5,1,3,4,6,8,7,2]=>[8,3,4,1,5,7,2,6]
[4,5,3,6,8,2,7,1]=>[1,3,2,4,6,8,7,5]
[5,6,3,4,8,1,7,2]=>[3,1,4,2,8,6,7,5]
[4,6,7,8,5,1,3,2]=>[2,8,1,6,3,7,5,4]
[8,4,3,1,2,6,7,5]=>[6,3,2,8,4,5,7,1]
[8,5,1,6,3,4,7,2]=>[5,6,4,2,8,3,7,1]
[5,1,8,6,3,4,7,2]=>[5,1,6,4,8,7,2,3]
[4,6,8,1,5,3,7,2]=>[6,1,5,2,8,4,7,3]
[6,4,5,8,3,2,7,1]=>[2,3,1,6,5,8,7,4]
[3,6,4,8,7,1,5,2]=>[8,3,1,2,6,7,5,4]
[6,5,8,1,3,4,7,2]=>[5,6,2,1,8,4,7,3]
[5,6,8,3,1,2,7,4]=>[1,8,5,4,2,6,7,3]
[6,1,8,3,5,2,7,4]=>[8,4,6,5,1,7,2,3]
[7,6,8,3,5,2,1,4]=>[4,7,6,2,1,8,5,3]
[8,6,1,3,5,2,7,4]=>[8,4,6,3,5,2,7,1]
[8,7,1,3,5,6,2,4]=>[7,4,5,8,3,6,2,1]
[6,7,8,3,5,1,2,4]=>[6,4,1,7,2,8,5,3]
[3,4,8,1,2,6,7,5]=>[1,2,6,8,4,5,7,3]
[5,8,2,4,3,6,7,1]=>[5,3,1,4,6,8,7,2]
[5,8,2,3,1,6,7,4]=>[3,4,1,6,8,5,7,2]
[6,8,2,3,5,1,7,4]=>[8,3,4,1,6,5,7,2]
[7,8,2,3,5,6,1,4]=>[7,3,4,5,1,8,6,2]
[8,6,5,1,4,3,7,2]=>[6,5,8,4,3,2,7,1]
[2,4,8,6,1,3,7,5]=>[8,2,5,6,1,4,7,3]
[6,7,1,8,4,3,5,2]=>[6,5,1,8,7,3,2,4]
[2,7,8,6,1,4,3,5]=>[7,5,6,2,8,1,4,3]
[2,7,3,8,1,6,4,5]=>[7,8,3,5,1,2,6,4]
[7,5,1,8,2,4,6,3]=>[6,8,5,2,7,3,1,4]
[2,7,8,4,1,6,3,5]=>[7,4,8,5,1,2,6,3]
[2,6,5,4,1,3,8,7]=>[8,5,4,1,3,2,6,7]
[4,1,7,6,3,8,2,5]=>[1,5,7,4,3,8,2,6]
[4,8,2,5,7,6,3,1]=>[8,1,4,7,3,6,5,2]
[3,4,6,5,1,8,2,7]=>[7,1,2,4,3,8,5,6]
[2,6,5,3,4,1,8,7]=>[4,5,3,1,2,8,6,7]
[4,6,1,5,2,3,8,7]=>[1,8,5,3,4,2,6,7]
[6,2,3,5,1,4,8,7]=>[8,2,3,5,4,1,6,7]
[2,6,7,5,1,8,4,3]=>[2,8,7,5,1,4,3,6]
[8,6,1,2,5,3,4,7]=>[6,7,3,4,5,2,8,1]
[6,2,5,1,8,3,4,7]=>[6,7,2,3,1,8,4,5]
[7,6,5,2,8,3,4,1]=>[6,8,4,3,2,1,7,5]
[2,6,3,5,1,8,7,4]=>[4,8,3,1,2,7,5,6]
[2,4,7,6,5,8,1,3]=>[7,5,2,4,1,3,8,6]
[2,1,4,8,7,6,3,5]=>[7,8,6,1,3,5,2,4]
[7,4,6,8,5,3,2,1]=>[3,8,2,1,7,6,5,4]
[8,1,3,5,7,4,6,2]=>[4,6,8,3,7,2,5,1]
[3,2,8,7,5,1,6,4]=>[8,6,1,5,7,2,4,3]
[4,8,5,1,6,7,2,3]=>[7,1,5,3,8,4,6,2]
[3,8,5,1,6,7,2,4]=>[7,5,1,3,8,4,6,2]
[7,8,6,1,3,5,2,4]=>[5,7,8,4,1,6,3,2]
[5,6,7,2,8,1,3,4]=>[4,1,6,2,7,3,8,5]
[2,5,1,8,6,7,4,3]=>[2,5,8,7,1,6,3,4]
[3,5,1,8,6,7,4,2]=>[2,5,8,1,7,6,3,4]
[5,2,3,8,6,7,4,1]=>[5,1,8,7,2,3,6,4]
[8,3,5,4,6,7,1,2]=>[4,2,3,7,5,8,6,1]
[5,1,3,8,6,7,4,2]=>[5,1,8,7,3,6,2,4]
[3,2,5,8,6,7,4,1]=>[5,8,1,3,7,2,6,4]
[6,2,1,5,3,8,7,4]=>[4,8,2,7,3,1,5,6]
[5,6,3,2,8,1,4,7]=>[4,3,1,6,2,7,8,5]
[8,1,6,3,5,2,7,4]=>[8,4,6,5,2,3,7,1]
[8,7,6,2,5,3,1,4]=>[7,4,6,8,5,3,2,1]
[4,7,6,8,3,2,5,1]=>[6,5,1,3,2,8,7,4]
[2,7,5,8,1,3,4,6]=>[5,6,3,7,1,2,8,4]
[7,6,2,8,5,1,4,3]=>[8,6,7,3,2,1,5,4]
[8,1,3,7,5,2,6,4]=>[8,6,3,5,7,2,4,1]
[3,4,8,7,5,1,6,2]=>[8,6,1,2,5,7,4,3]
[6,3,8,1,4,2,5,7]=>[2,6,4,5,1,7,8,3]
[6,3,8,5,7,4,1,2]=>[7,4,1,8,2,6,5,3]
[7,4,6,8,5,1,3,2]=>[8,2,6,3,1,7,5,4]
[2,1,4,8,7,5,6,3]=>[6,8,7,1,3,5,2,4]
[7,1,5,8,2,6,4,3]=>[3,8,7,5,6,2,1,4]
[3,6,8,2,4,1,7,5]=>[4,5,1,2,8,6,7,3]
[4,5,8,2,6,7,3,1]=>[1,2,5,8,4,7,6,3]
[5,2,8,1,6,7,3,4]=>[7,5,1,8,2,4,6,3]
[2,5,8,4,6,7,3,1]=>[2,4,5,8,7,1,6,3]
[5,8,3,4,6,7,2,1]=>[3,1,4,5,8,7,6,2]
[8,4,3,2,6,7,1,5]=>[3,2,7,4,5,8,6,1]
[4,2,8,1,6,7,3,5]=>[1,7,5,8,2,4,6,3]
[2,4,8,1,6,7,3,5]=>[7,2,5,8,1,4,6,3]
[5,1,8,2,6,7,3,4]=>[7,5,1,8,4,6,2,3]
[3,4,8,7,2,1,5,6]=>[6,1,2,5,7,8,4,3]
[7,8,5,3,6,4,2,1]=>[8,4,3,1,7,6,5,2]
[2,8,5,7,4,1,3,6]=>[6,3,7,5,8,1,4,2]
[5,8,4,1,6,7,2,3]=>[1,7,5,3,8,4,6,2]
[3,8,1,4,6,7,2,5]=>[7,1,4,5,8,3,6,2]
[8,2,3,4,6,7,1,5]=>[7,2,3,4,5,8,6,1]
[6,2,7,3,8,4,1,5]=>[7,4,6,2,1,3,8,5]
[7,4,3,2,8,5,1,6]=>[3,2,7,4,6,1,8,5]
[5,3,2,8,4,6,1,7]=>[2,5,1,7,3,6,8,4]
[8,4,2,6,5,3,1,7]=>[2,7,6,3,5,4,8,1]
[7,4,2,5,3,1,6,8]=>[6,3,2,5,4,7,1,8]
[8,3,6,2,5,4,1,7]=>[7,2,4,6,5,3,8,1]
[5,4,8,3,2,6,1,7]=>[2,1,5,4,7,6,8,3]
[3,5,8,2,4,6,1,7]=>[4,1,2,5,7,6,8,3]
[6,4,7,8,2,3,1,5]=>[2,5,1,7,6,3,8,4]
[5,8,3,6,4,2,1,7]=>[1,7,3,6,5,4,8,2]
[4,8,6,2,5,3,1,7]=>[7,1,4,6,5,3,8,2]
[1,6,4,3,2,8,7,5]=>[3,8,4,2,7,1,5,6]
[1,5,3,2,8,4,7,6]=>[8,3,2,6,7,1,4,5]
[5,7,4,3,1,2,6,8]=>[5,1,6,4,3,7,2,8]
[2,8,7,3,5,1,4,6]=>[4,6,7,5,8,1,3,2]
[7,3,8,6,4,1,2,5]=>[6,7,2,5,1,8,4,3]
[6,1,2,7,3,8,5,4]=>[8,7,5,2,3,1,4,6]
[2,1,7,4,3,8,6,5]=>[8,4,7,1,5,2,3,6]
[6,1,4,3,8,2,7,5]=>[3,8,4,6,1,7,2,5]
[5,1,3,2,8,7,4,6]=>[7,8,3,1,6,2,4,5]
[1,8,4,2,7,6,5,3]=>[8,3,7,6,4,5,1,2]
[1,8,3,7,2,6,5,4]=>[8,7,3,5,6,4,1,2]
[5,1,4,8,3,7,2,6]=>[3,5,1,7,8,6,2,4]
[2,1,6,8,5,4,7,3]=>[3,6,5,8,1,7,2,4]
[6,1,5,7,8,2,4,3]=>[3,8,6,4,1,7,2,5]
[8,3,1,6,7,2,5,4]=>[8,2,6,4,7,3,5,1]
[7,4,8,6,1,3,2,5]=>[2,7,5,6,1,8,4,3]
[4,7,6,1,2,5,3,8]=>[1,7,4,5,6,3,2,8]
[3,7,6,1,5,2,4,8]=>[6,7,1,4,5,3,2,8]
[1,5,4,8,3,2,7,6]=>[3,2,5,8,6,7,1,4]
[7,3,6,1,2,5,4,8]=>[2,7,4,5,6,3,1,8]
[5,4,7,1,3,2,6,8]=>[6,4,2,1,5,7,3,8]
[5,7,4,8,2,1,3,6]=>[1,6,5,3,7,2,8,4]
[4,6,8,2,5,1,3,7]=>[1,4,6,2,7,5,8,3]
[7,4,6,2,1,5,3,8]=>[4,2,7,5,6,3,1,8]
[1,2,6,3,8,5,7,4]=>[6,3,8,7,1,2,4,5]
[1,5,2,6,8,4,7,3]=>[4,2,6,8,7,1,3,5]
[5,7,2,3,8,1,4,6]=>[3,4,1,6,7,2,8,5]
[6,4,7,5,8,1,2,3]=>[2,6,1,7,4,3,8,5]
[7,4,8,5,1,6,3,2]=>[8,2,7,5,4,1,6,3]
[5,8,3,6,1,7,4,2]=>[1,8,3,7,5,4,6,2]
[8,6,4,2,1,7,5,3]=>[8,4,3,7,5,2,6,1]
[7,4,2,1,5,8,6,3]=>[8,3,2,5,7,4,1,6]
[7,6,4,1,8,5,2,3]=>[7,3,8,6,4,2,1,5]
[1,6,4,8,7,5,3,2]=>[2,8,7,3,6,5,1,4]
[6,3,1,2,8,4,7,5]=>[2,8,6,7,3,1,4,5]
[7,5,1,3,2,8,6,4]=>[8,4,7,3,2,5,1,6]
[4,7,1,2,5,8,6,3]=>[1,8,5,7,3,4,2,6]
[6,8,4,1,2,7,5,3]=>[8,7,4,3,1,5,6,2]
[7,5,8,1,2,6,4,3]=>[8,7,4,2,5,1,6,3]
[7,4,8,1,6,3,5,2]=>[2,6,8,7,4,1,5,3]
[5,8,2,1,7,3,6,4]=>[8,3,1,6,7,4,5,2]
[3,6,1,8,2,4,7,5]=>[8,1,5,6,2,7,3,4]
[1,3,8,7,6,2,5,4]=>[8,6,7,5,2,4,1,3]
[5,4,1,8,7,3,2,6]=>[2,1,7,6,8,5,3,4]
[3,5,1,8,7,2,4,6]=>[6,1,2,7,8,5,3,4]
[4,6,1,8,3,7,2,5]=>[1,5,7,2,8,6,3,4]
[4,7,1,2,8,6,3,5]=>[1,7,8,6,3,4,2,5]
[5,8,4,1,7,6,2,3]=>[1,7,3,8,6,4,5,2]
[7,6,8,1,5,4,2,3]=>[7,8,6,4,2,1,5,3]
[8,6,1,7,5,4,3,2]=>[8,7,6,5,3,2,4,1]
[7,1,5,8,6,4,3,2]=>[8,3,7,6,5,2,1,4]
[5,1,8,7,3,6,4,2]=>[1,8,5,7,6,4,2,3]
[4,1,8,7,6,2,5,3]=>[8,1,6,7,5,4,2,3]
[3,1,8,7,6,5,2,4]=>[7,8,6,1,5,4,2,3]
[1,6,4,5,2,3,7,8]=>[5,3,6,4,1,2,7,8]
[1,7,4,5,2,3,6,8]=>[5,3,6,4,7,1,2,8]
[1,7,3,5,2,4,6,8]=>[3,5,6,4,7,1,2,8]
[1,6,3,5,2,4,7,8]=>[3,5,6,4,1,2,7,8]
[1,6,3,4,2,5,7,8]=>[3,5,4,6,1,2,7,8]
[1,7,3,4,2,5,6,8]=>[3,5,4,6,7,1,2,8]
[1,8,6,7,3,4,2,5]=>[5,7,6,3,8,4,1,2]
[1,8,5,7,3,4,2,6]=>[5,3,7,6,8,4,1,2]
[1,7,3,4,2,6,5,8]=>[3,4,7,5,6,1,2,8]
[1,5,2,8,4,7,3,6]=>[5,2,7,8,6,1,3,4]
[1,4,2,8,5,7,3,6]=>[2,5,7,8,6,1,3,4]
[1,7,3,5,2,6,4,8]=>[7,3,5,4,6,1,2,8]
[1,8,4,7,3,5,2,6]=>[3,5,7,6,8,4,1,2]
[1,7,3,6,2,5,4,8]=>[7,3,5,6,4,1,2,8]
[1,7,3,6,2,4,5,8]=>[3,5,6,7,4,1,2,8]
[1,7,4,6,2,3,5,8]=>[5,3,6,7,4,1,2,8]
[1,8,5,6,2,3,4,7]=>[5,6,3,7,4,8,1,2]
[1,8,5,6,2,4,3,7]=>[7,5,3,6,4,8,1,2]
[1,3,2,8,5,6,4,7]=>[5,7,2,6,8,1,3,4]
[1,4,2,8,5,6,3,7]=>[2,5,7,6,8,1,3,4]
[1,5,2,8,4,6,3,7]=>[5,2,7,6,8,1,3,4]
[1,6,2,8,4,5,3,7]=>[5,7,6,2,8,1,3,4]
[8,1,2,4,5,3,6,7]=>[4,6,2,3,5,7,8,1]
[8,6,4,7,2,1,3,5]=>[6,5,3,7,2,8,4,1]
[1,6,4,7,2,8,3,5]=>[3,7,2,8,5,1,4,6]
[1,4,7,3,5,8,2,6]=>[2,4,5,7,3,8,1,6]
[8,4,6,2,3,5,1,7]=>[4,2,5,7,6,3,8,1]
[5,4,8,2,3,6,1,7]=>[4,2,1,5,7,6,8,3]
[7,4,8,5,2,3,1,6]=>[2,5,7,6,4,1,8,3]
[3,8,6,2,4,5,1,7]=>[4,5,7,1,6,3,8,2]
[4,8,6,2,3,5,1,7]=>[1,4,5,7,6,3,8,2]
[1,7,5,3,4,8,2,6]=>[4,5,3,7,2,8,1,6]
[1,7,6,4,8,2,3,5]=>[6,4,7,3,2,8,1,5]
[5,8,7,4,1,2,3,6]=>[5,1,6,7,4,8,3,2]
[6,8,5,3,4,1,2,7]=>[6,4,1,7,5,3,8,2]
[6,8,3,7,2,1,4,5]=>[3,6,5,1,7,8,4,2]
[8,5,1,6,3,7,2,4]=>[5,7,4,2,8,3,6,1]
[6,1,3,7,4,8,2,5]=>[5,7,3,4,1,8,2,6]
[4,1,7,3,5,8,2,6]=>[4,1,5,7,3,8,2,6]
[7,1,6,4,8,2,3,5]=>[6,4,7,3,8,2,1,5]
[1,8,5,7,2,3,4,6]=>[5,6,3,7,8,4,1,2]
[6,1,5,8,2,3,4,7]=>[5,6,3,7,1,8,2,4]
[5,1,7,3,8,2,4,6]=>[4,6,1,7,3,8,2,5]
[6,1,5,7,8,2,3,4]=>[6,3,7,4,1,8,2,5]
[7,4,8,6,1,2,3,5]=>[5,2,6,7,1,8,4,3]
[3,8,7,5,1,2,4,6]=>[5,6,7,1,4,8,3,2]
[3,7,6,1,2,4,5,8]=>[1,4,5,6,7,3,2,8]
[4,7,6,1,2,3,5,8]=>[4,1,5,6,7,3,2,8]
[1,6,5,8,2,3,4,7]=>[5,6,3,2,7,8,1,4]
[6,5,8,4,1,2,3,7]=>[5,6,2,1,7,4,8,3]
[8,5,7,4,1,2,3,6]=>[5,6,2,7,4,8,3,1]
[1,5,7,4,8,2,3,6]=>[2,6,4,7,3,8,1,5]
[7,6,4,8,2,1,3,5]=>[6,5,3,7,2,1,8,4]
[7,6,2,3,8,1,4,5]=>[3,4,6,7,2,1,8,5]
[7,4,8,5,1,6,2,3]=>[2,7,8,5,4,1,6,3]
[8,6,2,3,1,7,4,5]=>[3,4,7,8,5,2,6,1]
[8,6,4,1,2,7,3,5]=>[7,8,4,3,5,2,6,1]
[1,7,2,8,6,3,4,5]=>[6,7,8,5,3,1,2,4]
[7,6,1,3,8,2,4,5]=>[4,6,7,8,3,2,1,5]
[7,5,8,1,3,6,2,4]=>[5,7,2,8,4,1,6,3]
[5,4,1,8,2,3,6,7]=>[5,6,2,1,7,8,3,4]
[1,4,8,7,2,3,5,6]=>[2,5,6,7,8,4,1,3]
[1,5,8,7,2,3,4,6]=>[5,2,6,7,8,4,1,3]
[6,5,1,8,2,3,4,7]=>[5,6,7,2,1,8,3,4]
[5,7,1,3,8,2,4,6]=>[4,6,1,7,8,3,2,5]
[7,6,8,1,5,2,3,4]=>[6,7,8,4,2,1,5,3]
[7,1,5,8,6,2,3,4]=>[6,3,7,8,5,2,1,4]
[6,1,8,2,7,3,4,5]=>[6,7,8,4,1,5,2,3]
[4,1,8,7,2,3,5,6]=>[5,1,6,7,8,4,2,3]
[5,1,8,7,2,3,4,6]=>[5,6,1,7,8,4,2,3]
[1,8,7,6,4,5,3,2]=>[5,8,7,6,4,3,1,2]
[1,8,7,3,6,5,4,2]=>[8,7,4,6,5,3,1,2]
[7,1,5,8,3,4,2,6]=>[5,3,7,6,8,2,1,4]
[7,1,4,3,2,5,6,8]=>[5,4,2,3,6,7,1,8]
[6,4,2,3,8,5,7,1]=>[6,2,8,3,1,4,7,5]
[6,4,2,7,5,8,3,1]=>[2,5,4,1,8,3,7,6]
[2,4,1,7,5,8,3,6]=>[2,5,7,1,4,8,3,6]
[7,1,4,6,5,2,3,8]=>[3,6,7,5,2,4,1,8]
[7,1,4,6,5,8,2,3]=>[7,3,5,4,8,2,1,6]
[7,1,4,6,3,8,2,5]=>[3,5,7,4,8,2,1,6]
[7,1,4,3,2,5,8,6]=>[4,3,8,2,5,6,1,7]
[7,1,4,6,5,2,8,3]=>[8,3,6,5,2,4,1,7]
[7,1,4,6,5,3,8,2]=>[6,3,5,4,8,2,1,7]
[7,1,4,6,5,3,2,8]=>[7,3,6,5,2,4,1,8]
[6,4,2,7,5,3,8,1]=>[2,6,5,3,1,4,8,7]
[3,4,7,2,6,8,5,1]=>[5,8,1,2,4,3,7,6]
[3,4,7,1,6,8,2,5]=>[7,1,2,5,8,4,3,6]
[3,4,7,1,6,8,5,2]=>[5,8,1,2,7,4,3,6]
[2,4,1,7,5,3,6,8]=>[2,6,1,5,7,3,4,8]
[3,4,1,7,8,6,2,5]=>[7,1,2,4,8,6,3,5]
[6,4,2,3,8,5,1,7]=>[7,3,2,4,1,6,8,5]
[6,4,2,7,5,8,1,3]=>[2,7,5,3,1,4,8,6]
[6,4,2,7,5,3,1,8]=>[2,7,6,3,1,5,4,8]
[3,4,7,2,6,8,1,5]=>[7,1,2,4,5,3,8,6]
[5,4,7,3,6,8,2,1]=>[2,1,4,5,3,8,7,6]
[3,4,7,2,6,5,1,8]=>[7,1,2,4,6,5,3,8]
[4,8,3,2,5,6,1,7]=>[1,4,3,5,7,6,8,2]
[4,8,7,3,5,1,2,6]=>[6,1,4,7,5,8,3,2]
[4,8,7,1,3,5,2,6]=>[1,5,7,4,6,8,3,2]
[4,8,3,1,2,6,5,7]=>[1,7,4,3,5,6,8,2]
[3,4,7,1,6,2,5,8]=>[1,2,6,7,4,5,3,8]
[3,4,7,1,6,2,8,5]=>[8,1,2,6,4,5,3,7]
[3,4,7,2,6,5,8,1]=>[6,1,2,4,5,3,8,7]
[4,8,3,1,2,6,7,5]=>[1,6,3,8,4,5,7,2]
[5,8,1,6,3,4,2,7]=>[5,1,7,6,3,4,8,2]
[6,8,5,1,3,7,2,4]=>[5,7,1,8,4,3,6,2]
[6,8,5,1,3,4,7,2]=>[5,6,1,8,4,3,7,2]
[5,8,3,4,2,6,7,1]=>[3,1,5,4,6,8,7,2]
[5,4,7,3,6,2,8,1]=>[2,1,4,6,5,3,8,7]
[5,4,7,2,6,1,8,3]=>[2,1,8,4,6,5,3,7]
[6,4,3,7,5,1,2,8]=>[3,2,6,1,7,5,4,8]
[6,4,3,7,5,1,8,2]=>[2,8,3,1,6,5,4,7]
[6,2,4,3,1,5,8,7]=>[4,2,3,8,5,1,6,7]
[3,8,7,4,1,5,2,6]=>[7,5,1,4,6,8,3,2]
[2,4,7,3,6,1,5,8]=>[2,4,6,7,1,5,3,8]
[5,8,3,2,1,6,4,7]=>[4,3,1,7,5,6,8,2]
[5,8,7,4,3,1,2,6]=>[1,6,7,5,4,8,3,2]
[5,4,7,3,6,2,1,8]=>[2,1,4,7,6,5,3,8]
[7,3,8,2,1,6,5,4]=>[8,2,4,7,5,1,6,3]
[7,4,3,8,5,2,1,6]=>[2,7,3,6,5,1,8,4]
[6,5,2,8,4,3,1,7]=>[7,6,3,2,1,5,8,4]
[4,3,2,8,6,5,1,7]=>[1,7,2,6,3,5,8,4]
[4,3,8,7,5,1,6,2]=>[8,1,6,2,5,7,4,3]
[3,2,5,8,6,1,4,7]=>[1,3,6,7,2,5,8,4]
[8,4,3,7,5,2,6,1]=>[2,6,3,5,8,7,4,1]
[4,3,7,8,5,1,2,6]=>[1,6,7,2,5,3,8,4]
[5,3,7,8,4,1,2,6]=>[6,1,7,2,5,3,8,4]
[6,2,5,8,3,1,4,7]=>[6,5,2,3,1,7,8,4]
[6,2,4,8,3,1,5,7]=>[3,6,2,5,1,7,8,4]
[5,2,3,8,4,1,6,7]=>[6,2,3,1,5,7,8,4]
[5,3,8,7,4,1,6,2]=>[1,8,6,2,5,7,4,3]
[5,3,2,8,6,4,1,7]=>[7,2,1,6,3,5,8,4]
[7,5,3,8,4,2,1,6]=>[7,3,2,6,5,1,8,4]
[8,7,5,3,6,2,4,1]=>[4,6,3,8,7,5,2,1]
[8,6,5,3,7,2,4,1]=>[4,6,3,2,8,7,5,1]
[7,5,4,3,8,2,6,1]=>[4,3,2,6,1,8,7,5]
[6,4,5,3,8,2,7,1]=>[2,4,3,1,6,8,7,5]
[7,4,6,3,8,2,5,1]=>[2,4,6,3,1,8,7,5]
[7,5,6,3,8,2,4,1]=>[4,2,6,3,1,8,7,5]
[8,5,6,3,7,2,4,1]=>[4,2,6,3,8,7,5,1]
[7,4,6,3,5,2,8,1]=>[2,4,6,5,3,1,8,7]
[8,4,6,3,5,2,7,1]=>[2,4,6,5,3,8,7,1]
[8,4,7,3,5,2,6,1]=>[2,4,6,5,8,7,3,1]
[8,5,7,3,4,2,6,1]=>[4,2,6,5,8,7,3,1]
[7,5,8,4,3,2,6,1]=>[2,6,5,4,1,8,7,3]
[6,5,8,4,3,2,7,1]=>[2,1,6,5,4,8,7,3]
[6,5,8,3,4,2,7,1]=>[4,2,1,6,5,8,7,3]
[7,5,8,3,4,2,6,1]=>[4,2,6,5,1,8,7,3]
[7,5,8,4,6,2,3,1]=>[2,6,4,1,8,7,5,3]
[7,4,8,3,6,2,5,1]=>[2,4,6,1,8,7,5,3]
[7,4,8,3,5,2,6,1]=>[2,4,6,5,1,8,7,3]
[6,4,8,3,5,2,7,1]=>[2,4,1,6,5,8,7,3]
[6,4,7,3,5,2,8,1]=>[2,4,1,6,5,3,8,7]
[5,4,8,3,7,2,6,1]=>[2,1,4,6,8,7,5,3]
[6,5,8,3,7,2,4,1]=>[4,2,1,6,8,7,5,3]
[6,5,8,4,7,2,3,1]=>[2,1,6,4,8,7,5,3]
[6,5,8,4,7,3,2,1]=>[2,1,4,8,7,6,5,3]
[6,4,7,3,8,2,5,1]=>[2,4,1,6,3,8,7,5]
[5,4,7,3,8,2,6,1]=>[2,1,4,6,3,8,7,5]
[5,4,6,3,8,2,7,1]=>[2,1,4,3,6,8,7,5]
[5,3,6,2,4,7,8,1]=>[2,4,1,5,3,6,8,7]
[5,3,6,1,4,8,7,2]=>[8,2,1,5,3,7,4,6]
[5,3,7,2,4,6,8,1]=>[2,4,1,5,6,3,8,7]
[4,3,1,5,6,8,7,2]=>[2,1,8,4,5,7,3,6]
[4,2,1,5,8,6,3,7]=>[7,2,1,4,6,8,3,5]
[4,2,1,5,8,6,7,3]=>[6,1,8,2,4,7,3,5]
[4,2,1,5,8,7,6,3]=>[1,8,7,2,4,6,3,5]
[4,3,1,5,7,8,6,2]=>[2,1,5,8,4,7,3,6]
[4,3,1,7,5,8,6,2]=>[1,8,2,5,4,7,3,6]
[6,7,3,1,4,8,2,5]=>[5,3,7,1,8,4,2,6]
[5,3,7,1,4,8,2,6]=>[2,5,1,7,8,4,3,6]
[4,3,1,5,7,8,2,6]=>[2,1,7,4,5,8,3,6]
[3,2,1,8,5,4,6,7]=>[1,6,2,5,7,8,3,4]
[3,2,1,8,5,7,4,6]=>[1,5,7,8,2,6,3,4]
[3,2,1,8,7,5,4,6]=>[7,1,6,8,2,5,3,4]
[5,2,7,1,8,4,3,6]=>[7,6,1,8,2,4,3,5]
[6,7,2,1,8,4,3,5]=>[7,3,6,1,8,4,2,5]
[6,7,2,1,8,4,5,3]=>[6,8,3,1,7,4,2,5]
[3,2,1,8,5,6,4,7]=>[1,5,7,2,6,8,3,4]
[3,2,1,8,6,5,4,7]=>[7,1,6,2,5,8,3,4]
[4,3,1,6,7,8,5,2]=>[2,1,4,5,8,7,3,6]
[4,2,1,6,8,7,5,3]=>[1,8,4,7,2,6,3,5]
[4,2,1,6,8,5,7,3]=>[4,1,6,8,2,7,3,5]
[4,2,1,6,8,5,3,7]=>[4,1,7,2,6,8,3,5]
[5,2,6,1,8,4,3,7]=>[7,6,2,1,3,8,4,5]
[5,2,6,1,8,7,4,3]=>[3,1,8,7,2,6,4,5]
[5,2,6,1,8,7,3,4]=>[7,3,1,8,2,6,4,5]
[5,2,6,1,8,3,4,7]=>[6,7,2,1,3,8,4,5]
[4,2,1,6,8,3,7,5]=>[4,1,8,2,6,7,3,5]
[4,3,1,6,7,8,2,5]=>[2,1,4,7,5,8,3,6]
[6,7,3,1,5,8,2,4]=>[3,7,5,1,8,4,2,6]
[4,2,1,7,8,6,3,5]=>[1,7,4,8,2,6,3,5]
[3,2,1,8,7,6,4,5]=>[7,8,1,6,2,5,3,4]
[3,2,1,8,6,4,7,5]=>[8,1,6,2,5,7,3,4]
[3,2,1,8,6,4,5,7]=>[1,6,7,2,5,8,3,4]
[3,2,1,8,4,6,5,7]=>[1,7,2,5,6,8,3,4]
[3,2,1,8,4,6,7,5]=>[1,6,8,2,5,7,3,4]
[3,2,1,8,4,7,6,5]=>[8,1,7,2,5,6,3,4]
[3,2,1,8,7,4,6,5]=>[8,1,6,7,2,5,3,4]
[4,2,1,7,8,3,6,5]=>[1,8,6,2,4,7,3,5]
[5,2,7,1,8,3,6,4]=>[8,6,1,7,2,4,3,5]
[6,7,2,1,8,3,5,4]=>[8,3,6,1,7,4,2,5]
[5,2,7,1,8,3,4,6]=>[6,7,1,8,2,4,3,5]
[4,2,1,7,8,3,5,6]=>[6,1,7,2,4,8,3,5]
[3,2,1,8,4,5,7,6]=>[1,8,2,5,6,7,3,4]
[7,5,2,8,6,3,4,1]=>[6,2,8,7,3,1,5,4]
[7,4,8,6,2,5,3,1]=>[8,2,5,1,7,6,4,3]
[7,3,8,6,2,4,5,1]=>[5,6,8,2,1,7,4,3]
[7,4,3,1,8,2,5,6]=>[6,3,2,7,8,4,1,5]
[7,4,2,8,5,6,1,3]=>[2,7,5,8,3,1,6,4]
[7,3,8,5,2,4,6,1]=>[5,6,2,4,1,8,7,3]
[7,3,8,4,5,6,2,1]=>[4,5,8,2,1,7,6,3]
[6,3,8,2,4,5,1,7]=>[2,4,5,1,7,6,8,3]
[6,3,8,2,5,7,4,1]=>[5,8,2,1,4,7,6,3]
[6,4,3,8,1,5,2,7]=>[3,2,7,5,1,6,8,4]
[6,3,7,8,2,4,1,5]=>[5,7,2,1,6,3,8,4]
[5,6,7,3,8,2,4,1]=>[1,4,2,6,3,8,7,5]
[5,4,7,2,6,8,1,3]=>[2,1,7,4,5,3,8,6]
[5,3,8,2,4,6,7,1]=>[2,4,1,5,6,8,7,3]
[6,3,8,2,4,7,5,1]=>[8,2,4,1,5,7,6,3]
[5,7,4,2,6,8,1,3]=>[1,7,4,3,5,2,8,6]
[6,4,8,2,7,5,1,3]=>[2,7,1,8,4,6,5,3]
[6,5,3,1,4,2,7,8]=>[6,4,3,5,2,1,7,8]
[5,7,4,2,6,1,3,8]=>[4,1,6,3,7,5,2,8]
[5,6,4,2,3,8,1,7]=>[4,1,5,3,2,7,8,6]
[5,6,3,7,8,2,4,1]=>[1,6,3,2,4,8,7,5]
[5,6,3,8,2,4,7,1]=>[3,1,5,2,6,8,7,4]
[6,3,7,2,4,5,1,8]=>[2,4,5,1,7,6,3,8]
[6,3,7,2,5,8,4,1]=>[5,8,2,1,4,3,7,6]
[5,3,6,8,2,4,7,1]=>[5,2,1,3,6,8,7,4]
[5,4,6,2,3,8,1,7]=>[4,2,1,5,3,7,8,6]
[5,3,6,7,8,2,4,1]=>[3,1,6,2,4,8,7,5]
[3,6,4,2,1,5,8,7]=>[4,1,3,8,5,2,6,7]
[3,5,8,6,4,2,1,7]=>[7,2,6,1,5,4,8,3]
[5,8,6,3,4,2,1,7]=>[1,4,7,6,5,3,8,2]
[5,6,3,4,2,1,8,7]=>[3,1,5,4,2,8,6,7]
[6,3,4,2,1,5,8,7]=>[2,4,3,8,5,1,6,7]
[5,6,4,2,1,3,8,7]=>[4,1,8,5,3,2,6,7]
[2,5,4,1,7,8,6,3]=>[3,2,5,8,1,7,4,6]
[2,7,8,5,4,1,6,3]=>[8,6,5,4,1,2,7,3]
[2,8,5,4,1,6,3,7]=>[7,5,4,1,3,6,8,2]
[2,6,3,8,5,4,1,7]=>[7,6,3,1,2,5,8,4]
[2,8,6,3,5,4,1,7]=>[7,4,6,5,1,3,8,2]
[5,8,6,4,2,1,3,7]=>[1,6,5,7,4,3,8,2]
[4,2,1,5,7,8,6,3]=>[5,1,8,2,4,7,3,6]
[2,7,8,6,3,5,4,1]=>[8,5,2,7,6,1,4,3]
[4,3,8,5,7,6,2,1]=>[8,1,4,7,2,6,5,3]
[7,6,2,1,8,4,3,5]=>[7,3,6,8,4,2,1,5]
[2,1,8,5,6,4,3,7]=>[4,7,6,1,5,8,2,3]
[4,2,1,8,5,6,3,7]=>[5,1,7,2,6,8,3,4]
[8,4,2,1,5,6,3,7]=>[3,5,2,7,4,6,8,1]
[2,5,6,3,8,4,1,7]=>[2,7,4,1,3,6,8,5]
[6,3,4,2,1,8,5,7]=>[2,4,3,7,1,8,5,6]
[3,7,8,5,6,4,2,1]=>[4,2,8,7,1,6,5,3]
[3,8,5,6,4,2,1,7]=>[3,7,6,1,5,4,8,2]
[3,6,4,2,1,8,5,7]=>[4,1,3,7,2,8,5,6]
[3,8,6,4,2,1,5,7]=>[6,5,1,4,7,3,8,2]
[3,7,8,6,4,2,1,5]=>[7,6,5,1,2,8,4,3]
[8,5,3,7,6,2,4,1]=>[6,2,8,3,7,5,4,1]
[7,6,2,4,1,8,5,3]=>[4,8,3,7,5,2,1,6]
[8,5,4,1,7,6,2,3]=>[7,3,2,8,6,4,5,1]
[7,6,2,3,8,5,4,1]=>[8,7,3,4,2,1,6,5]
[2,1,7,8,6,4,3,5]=>[7,6,3,8,1,5,2,4]
[2,1,6,4,3,7,8,5]=>[4,6,1,3,8,2,5,7]
[6,4,2,1,3,7,8,5]=>[3,6,2,8,4,1,5,7]
[6,3,7,8,4,2,1,5]=>[7,6,2,1,5,3,8,4]
[7,8,4,2,1,6,3,5]=>[4,7,3,8,5,1,6,2]
[5,7,6,2,3,8,4,1]=>[1,8,4,5,3,2,7,6]
[2,6,1,8,4,3,7,5]=>[5,8,6,1,2,7,3,4]
[2,6,1,7,5,8,4,3]=>[5,4,2,8,1,7,3,6]
[8,4,2,3,7,5,6,1]=>[6,2,8,3,4,7,5,1]
[8,5,7,6,2,1,4,3]=>[5,2,8,6,7,4,3,1]
[4,8,5,7,6,2,1,3]=>[3,7,1,6,8,5,4,2]
[4,7,6,2,1,3,8,5]=>[1,4,8,5,6,3,2,7]
[7,5,6,1,8,4,2,3]=>[7,2,8,6,4,3,1,5]
[2,7,5,8,4,3,6,1]=>[3,6,5,2,8,1,7,4]
[2,8,4,3,6,1,7,5]=>[3,8,4,6,1,5,7,2]
[6,4,7,8,3,2,1,5]=>[7,2,1,6,5,3,8,4]
[6,4,3,7,5,2,1,8]=>[2,7,3,1,6,5,4,8]
[6,5,3,2,8,4,1,7]=>[3,7,4,2,1,6,8,5]
[6,5,2,7,8,4,1,3]=>[7,4,2,1,8,3,6,5]
[6,4,3,2,5,8,1,7]=>[4,3,2,5,1,7,8,6]
[6,3,7,2,5,4,1,8]=>[7,2,4,1,6,5,3,8]
[6,3,2,7,5,4,1,8]=>[7,2,6,3,1,5,4,8]
[8,4,2,6,3,1,7,5]=>[5,2,8,3,6,4,7,1]
[1,5,3,7,4,2,8,6]=>[5,2,8,3,6,1,4,7]
[1,6,7,3,4,2,8,5]=>[4,5,2,8,6,1,3,7]
[8,6,5,2,3,1,7,4]=>[4,5,8,6,3,2,7,1]
[1,7,6,3,4,2,8,5]=>[4,5,8,6,3,1,2,7]
[1,8,6,3,2,5,7,4]=>[4,6,8,5,3,7,1,2]
[8,7,5,2,1,4,6,3]=>[4,6,8,5,3,7,2,1]
[7,8,5,2,1,4,6,3]=>[4,6,8,5,3,1,7,2]
[6,8,5,2,3,1,7,4]=>[4,5,1,8,6,3,7,2]
[5,8,6,2,3,1,7,4]=>[4,1,5,8,6,3,7,2]
[4,8,2,6,3,1,7,5]=>[1,5,8,3,6,4,7,2]
[3,2,8,6,4,1,7,5]=>[5,8,1,6,2,4,7,3]
[3,2,1,7,5,4,8,6]=>[1,5,8,2,6,3,4,7]
[4,1,3,7,5,2,8,6]=>[5,1,8,3,6,2,4,7]
[5,1,7,3,4,2,8,6]=>[4,5,1,8,6,2,3,7]
[7,1,6,3,2,5,8,4]=>[4,6,8,5,2,3,1,7]
[1,2,7,4,3,6,8,5]=>[4,6,8,5,1,2,3,7]
[6,1,8,2,4,5,7,3]=>[5,6,8,4,1,7,2,3]
[5,1,8,3,2,6,7,4]=>[4,6,1,8,5,7,2,3]
[3,2,8,7,1,5,6,4]=>[6,8,1,5,7,2,4,3]
[4,8,2,7,1,5,6,3]=>[1,6,8,3,5,7,4,2]
[5,8,7,2,1,4,6,3]=>[4,1,6,8,5,7,3,2]
[6,8,7,1,3,4,5,2]=>[5,6,1,8,4,7,3,2]
[7,8,6,1,3,4,5,2]=>[5,6,8,4,1,7,3,2]
[1,7,8,2,4,5,6,3]=>[5,6,8,4,2,7,1,3]
[8,6,7,1,3,4,5,2]=>[5,6,8,4,2,7,3,1]
[7,6,8,1,3,4,5,2]=>[5,6,8,4,2,1,7,3]
[6,5,8,2,3,1,7,4]=>[4,5,2,1,8,6,7,3]
[1,6,8,3,2,5,7,4]=>[4,6,2,8,5,7,1,3]
[1,5,3,8,2,6,7,4]=>[6,2,8,3,5,7,1,4]
[8,4,2,7,1,5,6,3]=>[6,2,8,3,5,7,4,1]
[7,4,2,8,1,5,6,3]=>[6,2,8,3,5,1,7,4]
[6,4,2,8,3,1,7,5]=>[5,2,8,3,1,6,7,4]
[5,4,2,3,8,1,7,6]=>[8,3,2,1,4,6,7,5]
[4,5,2,3,1,6,8,7]=>[3,1,4,2,8,5,6,7]
[7,4,2,1,3,6,8,5]=>[3,6,2,8,4,5,1,7]
[8,4,2,1,3,6,7,5]=>[3,6,2,8,4,5,7,1]
[1,5,3,2,4,7,8,6]=>[3,6,2,8,1,4,5,7]
[8,5,1,3,2,6,7,4]=>[4,6,8,3,2,5,7,1]
[5,6,1,3,4,2,8,7]=>[4,5,1,8,3,2,6,7]
[4,6,2,1,5,3,8,7]=>[3,1,5,8,4,2,6,7]
[4,7,2,1,3,6,8,5]=>[3,1,6,8,4,5,2,7]
[5,7,1,3,2,6,8,4]=>[4,6,1,8,3,5,2,7]
[6,7,1,2,4,5,8,3]=>[5,6,8,3,1,4,2,7]
[8,6,1,2,4,5,7,3]=>[5,6,8,3,4,2,7,1]
[1,8,2,3,5,6,7,4]=>[5,6,8,3,4,7,1,2]
[8,7,1,2,4,5,6,3]=>[5,6,8,3,4,7,2,1]
[7,8,1,2,4,5,6,3]=>[5,6,8,3,4,1,7,2]
[5,8,1,3,2,6,7,4]=>[4,6,1,8,3,5,7,2]
[4,8,2,1,3,6,7,5]=>[3,1,6,8,4,5,7,2]
[4,1,3,2,5,7,8,6]=>[3,6,1,8,2,4,5,7]
[5,1,2,4,3,7,8,6]=>[4,6,8,2,1,3,5,7]
[5,4,8,1,2,3,7,6]=>[8,4,2,1,5,6,7,3]
[1,4,7,6,3,2,5,8]=>[6,2,5,7,4,1,3,8]
[4,8,3,2,7,6,1,5]=>[1,3,7,8,4,6,5,2]
[4,3,8,2,7,1,6,5]=>[1,8,2,4,6,7,5,3]
[1,4,7,3,6,2,5,8]=>[2,4,6,7,5,1,3,8]
[4,3,2,8,1,7,6,5]=>[1,8,2,7,3,5,6,4]
[4,1,8,3,7,2,5,6]=>[4,1,6,7,8,5,2,3]
[4,1,8,7,3,2,5,6]=>[1,6,5,7,8,4,2,3]
[4,7,8,1,2,5,3,6]=>[1,7,4,5,6,2,8,3]
[3,4,7,6,2,1,8,5]=>[5,8,1,2,6,4,3,7]
[3,4,2,7,1,6,8,5]=>[1,2,6,8,3,5,4,7]
[2,3,6,7,4,1,8,5]=>[5,3,8,1,2,6,4,7]
[2,6,3,4,7,8,1,5]=>[7,3,4,1,2,5,8,6]
[2,6,7,8,3,4,1,5]=>[5,2,7,6,1,3,8,4]
[3,1,7,8,4,2,5,6]=>[6,1,5,7,3,8,2,4]
[4,1,3,2,8,7,5,6]=>[7,1,8,3,6,2,4,5]
[3,7,8,2,6,4,1,5]=>[7,4,6,1,2,8,5,3]
[4,2,3,8,1,6,7,5]=>[6,1,8,2,3,5,7,4]
[4,3,1,8,2,5,7,6]=>[2,1,8,5,6,7,3,4]
[1,3,6,7,4,2,5,8]=>[6,5,2,3,7,1,4,8]
[3,2,7,8,4,1,6,5]=>[5,8,1,6,2,3,7,4]
[4,2,8,6,3,1,7,5]=>[1,5,8,6,2,4,7,3]
[3,7,2,4,8,6,1,5]=>[7,8,1,3,4,2,6,5]
[3,2,7,4,8,1,6,5]=>[8,1,4,6,2,3,7,5]
[1,3,6,4,7,2,5,8]=>[4,6,2,3,7,1,5,8]
[3,2,4,7,1,8,6,5]=>[8,1,7,2,3,5,4,6]
[3,7,4,2,6,8,1,5]=>[3,7,1,4,5,2,8,6]
[3,7,4,6,2,8,1,5]=>[3,5,7,1,4,2,8,6]
[4,7,1,5,8,2,3,6]=>[1,6,4,7,8,3,2,5]
[3,7,6,4,8,2,1,5]=>[4,7,6,1,3,2,8,5]
[3,1,7,4,8,2,5,6]=>[1,4,6,7,3,8,2,5]
[2,6,7,3,8,4,1,5]=>[7,4,2,6,1,3,8,5]
[2,3,6,4,7,1,8,5]=>[8,4,1,2,3,6,5,7]
[8,7,5,2,6,3,4,1]=>[6,8,4,3,7,5,2,1]
[8,6,5,2,7,3,4,1]=>[6,8,4,3,2,7,5,1]
[7,4,8,5,6,3,2,1]=>[4,8,2,1,7,6,5,3]
[3,4,6,7,8,5,1,2]=>[3,7,1,2,4,8,6,5]
[1,2,6,4,7,5,8,3]=>[6,4,3,5,8,1,2,7]
[3,1,7,5,4,2,6,8]=>[6,1,5,4,7,2,3,8]
[6,3,8,5,4,7,1,2]=>[7,5,2,1,4,8,6,3]
[1,6,2,5,4,7,8,3]=>[5,4,6,2,8,1,3,7]
[1,8,2,5,6,3,7,4]=>[4,8,6,3,5,7,1,2]
[1,2,6,4,8,5,7,3]=>[6,3,8,4,7,1,2,5]
[7,8,3,1,4,2,5,6]=>[6,4,3,5,7,1,8,2]
[4,8,1,5,2,3,6,7]=>[5,1,6,3,4,7,8,2]
[7,4,1,5,2,3,6,8]=>[5,6,3,2,4,7,1,8]
[5,6,1,8,4,3,2,7]=>[1,7,6,5,2,8,3,4]
[5,1,8,6,4,3,2,7]=>[1,7,6,5,4,8,2,3]
[5,1,6,3,8,7,2,4]=>[7,3,1,8,4,6,2,5]
[6,1,2,5,8,3,7,4]=>[4,8,6,7,2,1,3,5]
[6,1,8,7,4,3,2,5]=>[7,6,5,1,8,4,2,3]
[7,1,2,5,4,8,6,3]=>[4,8,5,7,2,3,1,6]
[1,2,7,5,8,3,6,4]=>[4,8,6,3,7,1,2,5]
[4,1,6,3,7,5,2,8]=>[1,7,4,3,6,2,5,8]
[1,3,6,7,8,5,2,4]=>[3,7,4,8,2,6,1,5]
[1,2,6,4,7,8,5,3]=>[5,3,8,4,7,1,2,6]
[4,1,6,3,7,8,2,5]=>[1,7,4,3,5,8,2,6]
[3,1,6,4,8,2,7,5]=>[8,1,4,3,6,7,2,5]
[7,8,4,1,6,3,2,5]=>[7,6,3,8,4,1,5,2]
[4,1,6,3,8,7,2,5]=>[1,7,3,8,4,6,2,5]
[7,5,1,8,4,3,2,6]=>[7,6,5,2,8,3,1,4]
[6,5,1,7,4,3,2,8]=>[7,6,5,3,2,1,4,8]
[4,1,8,5,2,3,7,6]=>[1,8,5,4,6,7,2,3]
[4,1,6,8,3,7,2,5]=>[1,5,3,7,8,6,2,4]
[5,4,6,1,3,8,2,7]=>[5,2,1,7,3,8,4,6]
[6,5,8,1,4,3,2,7]=>[7,6,4,2,1,5,8,3]
[1,3,5,7,6,8,2,4]=>[7,3,5,2,4,8,1,6]
[1,3,5,7,6,2,8,4]=>[8,3,6,2,5,1,4,7]
[1,3,5,7,2,6,8,4]=>[3,6,8,2,5,1,4,7]
[1,3,5,2,7,6,4,8]=>[3,7,2,6,1,4,5,8]
[1,3,5,7,6,2,4,8]=>[3,6,7,2,5,1,4,8]
[1,3,5,7,4,6,8,2]=>[3,5,6,2,4,8,1,7]
[1,3,5,7,4,6,2,8]=>[3,5,7,2,6,1,4,8]
[1,3,5,7,4,2,6,8]=>[3,6,2,5,7,1,4,8]
[1,3,5,4,7,2,6,8]=>[4,2,3,6,7,1,5,8]
[1,3,5,4,7,8,2,6]=>[3,7,2,4,5,8,1,6]
[1,3,5,4,7,2,8,6]=>[3,8,2,4,6,1,5,7]
[1,3,5,7,4,2,8,6]=>[3,5,8,2,6,1,4,7]
[1,3,5,7,4,8,2,6]=>[3,5,7,2,4,8,1,6]
[1,3,5,7,4,8,6,2]=>[8,3,5,2,4,7,1,6]
[1,3,5,7,8,4,6,2]=>[6,3,4,8,2,7,1,5]
[1,3,5,7,8,4,2,6]=>[7,3,6,2,4,8,1,5]
[1,3,5,2,7,8,6,4]=>[3,5,8,2,7,1,4,6]
[1,3,5,7,2,8,6,4]=>[8,3,7,2,5,1,4,6]
[1,3,5,7,8,2,6,4]=>[8,3,6,2,4,7,1,5]
[1,6,3,2,7,4,8,5]=>[8,3,6,4,1,2,5,7]
[3,5,1,6,2,8,7,4]=>[4,1,2,8,7,3,5,6]
[1,3,7,2,5,4,8,6]=>[5,8,2,4,6,1,3,7]
[2,6,1,7,4,3,8,5]=>[5,8,6,1,3,2,4,7]
[1,4,7,3,5,2,8,6]=>[2,4,5,8,6,1,3,7]
[1,3,7,5,2,4,8,6]=>[8,5,2,4,6,1,3,7]
[2,5,7,4,3,8,1,6]=>[2,5,4,7,1,3,8,6]
[2,5,3,7,4,8,1,6]=>[5,2,7,1,3,4,8,6]
[1,4,7,2,3,8,6,5]=>[8,2,7,4,5,1,3,6]
[2,4,7,3,1,8,6,5]=>[8,2,4,7,1,5,3,6]
[1,4,6,3,8,2,7,5]=>[8,2,4,3,6,7,1,5]
[1,3,5,2,8,7,6,4]=>[8,3,7,2,6,1,4,5]
[1,4,7,3,8,2,6,5]=>[8,2,4,6,3,7,1,5]
[2,5,1,7,8,4,6,3]=>[2,6,4,8,1,7,3,5]
[3,2,6,7,8,1,5,4]=>[3,8,1,6,2,4,7,5]
[4,3,6,7,8,2,1,5]=>[1,3,7,2,6,4,8,5]
[3,5,2,7,8,4,1,6]=>[2,7,1,6,3,4,8,5]
[1,5,7,4,8,3,2,6]=>[2,4,7,6,3,8,1,5]
[2,5,1,6,8,4,7,3]=>[4,2,6,8,1,7,3,5]
[4,6,2,1,7,8,3,5]=>[1,7,3,5,2,8,4,6]
[5,3,6,4,7,8,2,1]=>[4,2,1,3,5,8,7,6]
[3,5,2,6,8,4,7,1]=>[4,1,2,6,8,3,7,5]
[2,5,4,6,8,7,1,3]=>[3,2,4,7,8,1,6,5]
[1,3,6,2,8,7,5,4]=>[3,8,7,2,6,1,4,5]
[1,4,6,3,8,7,2,5]=>[7,2,3,8,4,6,1,5]
[2,5,7,4,3,8,6,1]=>[2,4,8,5,1,3,7,6]
[1,5,7,2,4,8,6,3]=>[2,8,5,7,4,1,3,6]
[4,6,3,7,2,8,5,1]=>[8,1,3,2,5,4,7,6]
[4,3,6,7,8,2,5,1]=>[1,3,6,2,4,8,7,5]
[1,4,7,3,8,6,2,5]=>[7,8,2,4,3,6,1,5]
[2,5,4,7,8,6,1,3]=>[2,7,3,4,8,1,6,5]
[3,2,6,7,8,5,1,4]=>[3,7,1,4,8,2,6,5]
[1,3,7,2,8,6,5,4]=>[8,7,6,2,4,1,3,5]
[5,1,6,8,2,4,3,7]=>[7,5,3,1,6,8,2,4]
[5,3,7,8,2,4,1,6]=>[5,1,7,2,6,3,8,4]
[8,5,3,7,2,4,1,6]=>[3,5,2,7,6,8,4,1]
[8,2,4,7,3,1,5,6]=>[3,6,2,5,7,8,4,1]
[2,4,7,8,3,1,5,6]=>[6,2,5,7,1,3,8,4]
[6,3,1,5,8,2,4,7]=>[2,6,4,7,1,8,3,5]
[6,5,3,4,2,8,1,7]=>[3,5,4,2,1,7,8,6]
[5,2,4,3,8,1,6,7]=>[4,2,3,1,6,7,8,5]
[3,2,4,8,1,5,6,7]=>[2,1,3,5,6,7,8,4]
[3,2,4,6,8,1,5,7]=>[1,6,2,3,4,7,8,5]
[8,1,5,7,3,2,4,6]=>[6,5,3,7,8,2,4,1]
[8,4,6,7,2,3,1,5]=>[2,5,7,6,3,8,4,1]
[4,6,7,8,2,3,1,5]=>[5,1,2,7,6,3,8,4]
[7,4,6,8,2,3,1,5]=>[2,5,7,6,3,1,8,4]
[7,2,4,8,3,1,5,6]=>[3,6,2,5,7,1,8,4]
[5,3,8,7,2,4,1,6]=>[5,1,7,2,6,8,4,3]
[2,4,8,7,3,1,5,6]=>[6,2,5,7,8,1,4,3]
[4,6,8,7,2,3,1,5]=>[5,1,2,7,6,8,4,3]
[8,7,4,6,2,3,1,5]=>[5,3,7,6,8,4,2,1]
[5,6,8,7,2,3,1,4]=>[1,5,2,7,6,8,4,3]
[6,4,8,7,2,3,1,5]=>[2,5,1,7,6,8,4,3]
[3,1,7,4,2,8,6,5]=>[8,1,4,7,5,2,3,6]
[3,2,8,4,1,7,6,5]=>[8,1,4,7,2,5,6,3]
[7,6,4,8,2,3,1,5]=>[5,3,7,6,2,1,8,4]
[5,7,6,8,2,3,1,4]=>[1,5,7,6,3,2,8,4]
[4,7,6,8,2,3,1,5]=>[5,7,1,6,3,2,8,4]
[8,6,4,7,2,3,1,5]=>[5,3,7,6,2,8,4,1]
[8,2,3,7,4,1,6,5]=>[5,8,2,3,6,7,4,1]
[2,3,7,8,4,1,6,5]=>[5,8,6,1,2,3,7,4]
[3,7,4,8,2,5,1,6]=>[3,5,7,1,6,2,8,4]
[2,3,7,4,1,6,8,5]=>[4,6,8,1,2,5,3,7]
[8,1,6,4,2,3,7,5]=>[8,5,4,6,2,3,7,1]
[4,7,8,6,2,3,1,5]=>[5,7,1,6,2,8,4,3]
[2,4,7,3,1,5,8,6]=>[2,4,8,1,5,6,3,7]
[6,3,1,7,4,2,8,5]=>[2,5,8,6,3,1,4,7]
[8,5,7,6,2,3,1,4]=>[5,2,7,6,8,4,3,1]
[7,5,8,6,2,3,1,4]=>[5,2,7,6,1,8,4,3]
[7,1,6,4,2,3,8,5]=>[8,5,4,6,2,3,1,7]
[3,1,7,6,4,2,8,5]=>[5,8,1,6,4,2,3,7]
[4,8,7,6,2,3,1,5]=>[5,7,1,6,8,4,3,2]
[6,8,7,5,2,3,1,4]=>[5,1,7,6,8,4,3,2]
[4,3,6,1,5,8,7,2]=>[1,8,2,5,3,7,4,6]
[4,3,6,5,1,8,7,2]=>[1,4,2,3,8,7,5,6]
[4,6,3,5,1,8,7,2]=>[1,3,4,2,8,7,5,6]
[4,6,3,1,5,8,7,2]=>[1,3,8,5,2,7,4,6]
[4,1,6,5,3,8,7,2]=>[1,4,3,8,5,7,2,6]
[4,6,1,5,3,8,7,2]=>[1,4,8,5,2,7,3,6]
[2,6,5,3,1,8,7,4]=>[8,4,3,1,2,7,5,6]
[2,6,5,1,8,7,3,4]=>[7,3,2,8,1,6,4,5]
[2,6,5,8,1,7,3,4]=>[7,3,2,8,1,5,6,4]
[2,6,5,8,1,3,7,4]=>[8,5,3,1,2,6,7,4]
[2,6,5,8,3,1,7,4]=>[5,3,2,8,1,6,7,4]
[2,6,5,3,8,1,7,4]=>[8,4,3,1,2,6,7,5]
[4,6,1,5,8,3,7,2]=>[1,4,6,2,8,7,3,5]
[4,1,6,5,8,3,7,2]=>[1,4,3,6,8,7,2,5]
[1,4,6,5,8,3,7,2]=>[4,2,3,6,8,7,1,5]
[4,1,6,5,8,7,3,2]=>[1,3,8,4,7,6,2,5]
[2,6,5,3,8,7,1,4]=>[7,3,2,8,1,4,6,5]
[6,4,3,8,7,1,5,2]=>[2,8,3,1,6,7,5,4]
[6,4,8,3,7,1,5,2]=>[2,4,1,8,6,7,5,3]
[2,6,8,5,3,7,1,4]=>[5,2,7,4,8,1,6,3]
[4,6,8,1,5,7,3,2]=>[5,1,2,8,7,4,6,3]
[4,6,1,8,5,7,3,2]=>[5,1,2,8,7,6,3,4]
[4,1,6,8,5,7,3,2]=>[1,3,5,8,7,6,2,4]
[1,4,6,8,5,7,3,2]=>[3,5,8,2,7,6,1,4]
[1,4,6,8,5,3,7,2]=>[3,6,2,5,8,7,1,4]
[4,6,1,8,5,3,7,2]=>[6,1,5,2,8,7,3,4]
[2,6,8,5,3,1,7,4]=>[5,2,8,6,1,4,7,3]
[2,6,8,5,1,7,3,4]=>[7,2,8,5,1,4,6,3]
[4,6,8,3,5,1,7,2]=>[4,1,2,8,6,5,7,3]
[4,6,8,3,1,5,7,2]=>[6,1,4,2,8,5,7,3]
[4,6,3,1,8,5,7,2]=>[1,3,6,2,8,7,4,5]
[4,6,3,8,1,5,7,2]=>[1,3,6,2,8,5,7,4]
[4,6,3,8,5,7,1,2]=>[7,1,3,2,5,8,6,4]
[4,3,6,8,1,5,7,2]=>[1,6,2,3,8,5,7,4]
[4,3,6,1,8,5,7,2]=>[1,6,2,3,8,7,4,5]
[4,3,1,6,8,5,7,2]=>[2,1,4,6,8,7,3,5]
[4,1,3,6,8,7,5,2]=>[1,8,4,7,3,6,2,5]
[4,3,6,1,8,7,5,2]=>[1,3,8,2,7,6,4,5]
[4,3,6,8,1,7,5,2]=>[1,3,8,2,7,5,6,4]
[6,5,2,8,7,3,1,4]=>[7,6,2,1,8,3,5,4]
[6,5,2,8,7,1,3,4]=>[6,7,2,1,8,3,5,4]
[6,2,5,8,7,1,3,4]=>[6,3,7,1,8,2,5,4]
[6,2,5,8,7,3,1,4]=>[3,7,6,1,8,2,5,4]
[4,6,3,8,1,7,5,2]=>[8,1,3,2,7,5,6,4]
[4,6,3,1,8,7,5,2]=>[8,1,3,2,7,6,4,5]
[4,1,6,3,8,7,5,2]=>[1,3,8,7,4,6,2,5]
[1,4,6,3,8,7,5,2]=>[3,8,2,7,4,6,1,5]
[4,1,6,8,3,7,5,2]=>[1,3,8,5,7,6,2,4]
[4,6,1,8,3,7,5,2]=>[8,1,5,2,7,6,3,4]
[4,6,8,1,3,7,5,2]=>[8,1,5,2,7,4,6,3]
[6,2,8,5,7,3,1,4]=>[7,6,4,1,8,2,5,3]
[6,2,8,5,7,1,3,4]=>[6,7,4,1,8,2,5,3]
[2,4,8,7,1,5,3,6]=>[7,2,5,6,8,1,4,3]
[4,2,8,7,5,3,1,6]=>[7,1,6,5,8,2,4,3]
[6,4,1,8,7,5,3,2]=>[8,2,1,7,6,5,3,4]
[6,1,4,8,7,5,3,2]=>[8,7,3,1,6,5,2,4]
[1,6,4,8,7,3,5,2]=>[6,2,8,3,7,5,1,4]
[6,4,1,8,7,3,5,2]=>[2,6,1,8,7,5,3,4]
[4,2,8,7,5,1,3,6]=>[1,6,7,5,8,2,4,3]
[2,4,8,7,3,5,1,6]=>[5,7,2,6,8,1,4,3]
[2,3,4,7,1,8,6,5]=>[8,7,1,2,3,5,4,6]
[2,3,4,7,8,5,6,1]=>[6,4,8,1,2,3,7,5]
[2,3,6,7,4,8,5,1]=>[3,8,5,1,2,4,7,6]
[2,5,6,3,7,8,1,4]=>[2,7,4,1,3,5,8,6]
[2,3,7,1,4,8,6,5]=>[8,7,1,2,4,5,3,6]
[2,6,1,3,7,8,5,4]=>[5,8,7,1,3,2,4,6]
[2,5,6,7,4,8,1,3]=>[2,3,7,5,1,4,8,6]
[2,3,7,8,4,5,6,1]=>[5,6,3,8,1,2,7,4]
[2,6,7,3,4,8,5,1]=>[8,4,2,5,1,3,7,6]
[1,5,3,2,6,4,7,8]=>[3,6,4,1,2,5,7,8]
[1,5,3,2,6,7,4,8]=>[3,5,2,7,1,4,6,8]
[1,7,3,2,8,5,4,6]=>[7,3,6,8,4,1,2,5]
[1,7,3,2,5,8,4,6]=>[3,5,7,8,4,1,2,6]
[1,3,2,7,5,4,8,6]=>[5,8,2,6,1,3,4,7]
[6,5,2,4,3,7,1,8]=>[5,3,4,2,1,7,6,8]
[6,4,2,5,3,7,1,8]=>[5,3,2,4,1,7,6,8]
[5,4,7,6,2,3,1,8]=>[2,1,5,7,6,4,3,8]
[3,6,4,8,2,1,5,7]=>[3,6,1,5,2,7,8,4]
[1,6,2,8,5,3,4,7]=>[6,7,5,2,8,1,3,4]
[4,6,2,3,7,5,1,8]=>[1,7,3,4,2,6,5,8]
[4,7,2,3,6,5,1,8]=>[1,7,3,4,6,5,2,8]
[4,7,2,3,5,6,1,8]=>[3,1,4,5,7,6,2,8]
[5,3,2,7,4,6,1,8]=>[2,5,1,7,3,6,4,8]
[5,3,2,6,4,7,1,8]=>[2,5,3,1,4,7,6,8]
[4,6,2,3,5,7,1,8]=>[3,1,4,5,2,7,6,8]
[3,5,2,1,6,8,4,7]=>[1,3,5,2,7,8,4,6]
[1,5,2,6,8,4,3,7]=>[4,2,7,6,8,1,3,5]
[1,5,7,2,8,4,3,6]=>[2,7,6,8,4,1,3,5]
[3,5,2,1,8,6,4,7]=>[7,1,3,2,6,8,4,5]
[3,6,8,4,2,1,5,7]=>[6,5,1,4,2,7,8,3]
[4,3,2,6,1,8,5,7]=>[2,1,7,3,4,8,5,6]
[1,5,8,2,7,4,3,6]=>[2,7,6,8,4,5,1,3]
[1,7,2,3,4,8,6,5]=>[8,7,3,4,5,1,2,6]
[6,8,2,3,4,1,7,5]=>[3,4,5,1,8,6,7,2]
[4,1,8,2,3,5,7,6]=>[8,4,1,5,6,7,2,3]
[2,3,1,8,4,5,7,6]=>[8,1,2,5,6,7,3,4]
[7,3,2,1,4,5,8,6]=>[3,2,8,4,5,6,1,7]
[7,8,1,4,3,5,2,6]=>[5,4,7,3,6,1,8,2]
[7,1,2,3,4,6,8,5]=>[6,8,2,3,4,5,1,7]
[6,1,2,3,4,8,7,5]=>[8,7,2,3,4,1,5,6]
[1,8,2,3,4,7,6,5]=>[8,7,3,4,5,6,1,2]
[8,1,2,3,4,6,7,5]=>[6,8,2,3,4,5,7,1]
[2,8,1,3,5,4,7,6]=>[5,8,1,3,4,6,7,2]
[8,7,1,4,3,5,2,6]=>[5,4,7,3,6,8,2,1]
[8,3,2,1,4,5,7,6]=>[3,2,8,4,5,6,7,1]
[3,8,2,1,5,6,4,7]=>[1,3,5,7,4,6,8,2]
[3,8,2,1,6,5,4,7]=>[7,1,3,6,4,5,8,2]
[1,7,8,3,5,4,2,6]=>[7,4,6,5,2,8,1,3]
[7,4,1,8,3,5,2,6]=>[5,2,7,6,8,3,1,4]
[8,4,1,7,3,5,2,6]=>[5,2,7,6,8,3,4,1]
[3,8,4,6,2,1,5,7]=>[3,6,1,5,7,4,8,2]
[8,4,2,5,3,1,6,7]=>[6,3,2,5,4,7,8,1]
[8,5,2,4,3,1,6,7]=>[6,3,5,4,2,7,8,1]
[8,3,2,5,4,1,6,7]=>[2,6,3,5,4,7,8,1]
[4,3,2,5,1,8,6,7]=>[3,2,1,4,7,8,5,6]
[3,5,2,4,1,8,6,7]=>[1,3,4,2,7,8,5,6]
[2,4,7,8,1,5,3,6]=>[7,2,5,6,1,3,8,4]
[1,8,7,3,5,4,2,6]=>[7,4,6,5,8,3,1,2]
[5,1,8,2,7,4,3,6]=>[7,6,1,8,4,5,2,3]
[5,1,7,2,8,4,3,6]=>[7,6,1,8,4,2,3,5]
[6,1,2,8,5,3,4,7]=>[6,7,5,8,2,1,3,4]
[6,3,2,1,8,4,5,7]=>[3,2,6,7,1,8,4,5]
[7,3,2,8,4,5,1,6]=>[2,5,7,3,6,1,8,4]
[2,7,8,4,3,5,1,6]=>[5,4,7,6,1,2,8,3]
[7,1,8,3,5,4,2,6]=>[7,4,6,5,8,2,1,3]
[7,8,2,3,4,6,1,5]=>[3,4,5,7,1,8,6,2]
[6,7,1,3,4,8,2,5]=>[4,5,7,1,8,3,2,6]
[6,8,1,3,4,7,2,5]=>[4,5,7,1,8,3,6,2]
[1,7,2,3,4,6,8,5]=>[6,8,3,4,5,1,2,7]
[1,6,2,3,4,8,7,5]=>[8,7,3,4,1,2,5,6]
[7,6,2,3,4,1,8,5]=>[3,4,5,8,6,2,1,7]
[8,6,2,3,4,1,7,5]=>[3,4,5,8,6,2,7,1]
[8,1,7,3,5,4,2,6]=>[7,4,6,5,8,2,3,1]
[8,3,2,7,4,5,1,6]=>[2,5,7,3,6,8,4,1]
[6,7,2,3,4,1,8,5]=>[3,4,5,1,8,6,2,7]
[7,6,2,3,4,8,1,5]=>[3,4,5,7,2,1,8,6]
[8,6,2,3,4,7,1,5]=>[3,4,5,7,2,8,6,1]
[6,3,4,8,7,5,1,2]=>[7,8,2,1,3,6,5,4]
[4,8,7,3,5,6,1,2]=>[4,7,1,5,8,6,3,2]
[4,8,7,5,3,6,1,2]=>[7,5,1,4,8,6,3,2]
[5,8,7,3,4,6,1,2]=>[1,4,7,5,8,6,3,2]
[5,8,4,2,1,6,7,3]=>[4,1,6,3,8,5,7,2]
[5,8,4,1,2,6,7,3]=>[6,1,8,4,3,5,7,2]
[5,3,7,2,6,1,8,4]=>[8,2,1,4,6,5,3,7]
[5,2,8,1,6,3,7,4]=>[8,6,2,1,4,5,7,3]
[5,8,2,1,4,7,6,3]=>[8,3,1,5,7,4,6,2]
[4,8,2,5,1,7,6,3]=>[1,4,8,3,7,5,6,2]
[7,8,4,1,2,6,5,3]=>[8,7,4,3,5,1,6,2]
[4,8,1,5,2,7,6,3]=>[1,4,8,7,3,5,6,2]
[5,8,1,2,4,7,6,3]=>[8,5,1,7,3,4,6,2]
[5,2,8,3,6,7,1,4]=>[7,4,1,5,8,2,6,3]
[3,8,7,6,2,4,1,5]=>[5,7,6,8,1,4,3,2]
[2,8,7,6,4,1,3,5]=>[6,7,5,8,4,1,3,2]
[7,8,2,6,5,1,3,4]=>[6,7,8,3,1,5,4,2]
[1,8,7,6,4,2,3,5]=>[6,7,5,8,4,3,1,2]
[2,8,7,6,3,1,4,5]=>[6,5,7,8,4,1,3,2]
[1,8,7,6,2,4,3,5]=>[7,5,6,8,4,3,1,2]
[1,8,7,6,3,4,2,5]=>[5,7,6,8,4,3,1,2]
[2,8,1,4,5,6,7,3]=>[4,5,6,8,1,3,7,2]
[2,1,7,3,6,5,8,4]=>[6,5,8,1,4,2,3,7]
[3,1,7,2,6,5,8,4]=>[6,1,5,8,4,2,3,7]
[3,2,7,1,6,5,8,4]=>[6,1,5,8,2,4,3,7]
[6,1,2,8,5,7,3,4]=>[7,5,8,6,2,1,3,4]
[6,2,1,8,5,7,3,4]=>[7,5,8,2,1,6,3,4]
[6,3,1,8,5,7,2,4]=>[7,2,5,1,8,6,3,4]
[6,4,2,1,7,5,8,3]=>[6,3,2,5,1,8,4,7]
[6,1,3,8,5,2,7,4]=>[8,6,3,5,1,7,2,4]
[2,3,7,1,6,8,5,4]=>[5,8,7,1,2,4,3,6]
[1,3,7,2,6,8,5,4]=>[5,8,7,2,4,1,3,6]
[7,8,2,6,5,3,1,4]=>[7,6,8,3,1,5,4,2]
[3,2,6,7,5,8,1,4]=>[3,7,1,5,2,4,8,6]
[1,2,7,5,6,3,8,4]=>[4,8,6,5,1,2,3,7]
[2,8,7,6,4,3,1,5]=>[7,6,5,8,4,1,3,2]
[3,8,7,6,1,2,5,4]=>[8,5,6,7,1,4,3,2]
[3,8,7,6,2,1,5,4]=>[5,8,6,7,1,4,3,2]
[4,8,7,6,2,1,3,5]=>[6,1,5,7,8,4,3,2]
[4,8,7,6,1,3,2,5]=>[7,1,5,6,8,4,3,2]
[3,8,7,6,4,1,2,5]=>[6,7,5,8,1,4,3,2]
[7,8,3,6,5,1,2,4]=>[3,6,7,1,8,5,4,2]
[2,3,7,5,6,8,1,4]=>[4,7,5,1,2,3,8,6]
[3,8,7,6,4,2,1,5]=>[7,6,5,8,1,4,3,2]
[5,1,4,6,8,2,3,7]=>[3,6,4,1,7,8,2,5]
[1,7,6,3,5,4,8,2]=>[6,4,5,3,2,8,1,7]
[4,3,7,2,6,5,1,8]=>[1,7,2,4,6,5,3,8]
[3,4,6,1,5,7,2,8]=>[1,2,5,7,4,3,6,8]
[1,6,8,5,7,3,4,2]=>[2,6,4,8,7,5,1,3]
[2,4,1,5,8,6,3,7]=>[2,7,1,4,6,8,3,5]
[4,6,1,2,5,8,3,7]=>[5,1,7,8,3,2,4,6]
[5,6,7,2,1,4,8,3]=>[4,1,6,2,8,5,3,7]
[7,8,6,5,1,2,4,3]=>[8,5,6,1,7,4,3,2]
[1,3,6,5,7,8,2,4]=>[4,3,7,2,5,8,1,6]
[7,4,8,5,3,1,6,2]=>[8,2,6,5,4,1,7,3]
[6,8,5,2,4,1,7,3]=>[8,4,1,6,5,3,7,2]
[2,3,1,6,8,5,7,4]=>[4,6,8,1,2,7,3,5]
[7,3,2,5,1,4,8,6]=>[2,8,3,5,4,6,1,7]
[7,1,4,2,3,6,8,5]=>[6,3,8,2,4,5,1,7]
[1,5,8,3,4,6,7,2]=>[4,2,5,6,8,7,1,3]
[8,3,1,2,4,7,6,5]=>[2,8,7,3,4,5,6,1]
[2,3,8,1,6,5,4,7]=>[7,6,1,2,4,5,8,3]
[8,1,4,7,2,5,3,6]=>[3,7,5,6,8,2,4,1]
[3,5,2,4,1,7,8,6]=>[1,3,4,2,6,8,5,7]
[3,4,7,8,6,2,1,5]=>[7,6,1,2,3,8,5,4]
[3,4,8,6,2,7,1,5]=>[5,7,1,2,4,8,6,3]
[5,8,2,1,6,7,3,4]=>[7,3,1,5,8,4,6,2]
[5,7,2,8,6,4,3,1]=>[8,1,7,6,3,2,5,4]
[6,1,2,7,5,3,8,4]=>[8,6,5,2,3,1,4,7]
[7,3,2,8,6,4,1,5]=>[7,2,6,8,3,1,5,4]
[2,7,8,4,6,3,1,5]=>[4,7,6,2,8,1,5,3]
[1,4,5,7,2,6,8,3]=>[2,3,6,8,5,1,4,7]
[7,3,5,2,6,1,8,4]=>[8,2,4,3,6,5,1,7]
[8,5,2,3,6,1,7,4]=>[8,3,4,2,6,5,7,1]
[8,1,6,3,5,7,2,4]=>[7,4,5,3,8,2,6,1]
[2,8,6,4,3,7,1,5]=>[5,4,7,3,8,1,6,2]
[8,3,2,6,4,7,1,5]=>[2,5,7,3,4,8,6,1]
[2,3,8,7,6,5,1,4]=>[7,8,6,5,1,2,4,3]
[1,2,8,7,3,6,5,4]=>[8,7,5,6,4,1,2,3]
[4,2,8,7,3,6,1,5]=>[1,5,7,8,6,2,4,3]
[4,5,8,7,1,2,6,3]=>[1,2,8,5,6,7,4,3]
[1,5,8,7,3,2,6,4]=>[2,5,8,6,7,4,1,3]
[4,5,8,7,3,2,1,6]=>[7,1,2,6,5,8,4,3]
[2,6,8,1,7,5,4,3]=>[2,8,7,6,1,4,5,3]
[3,6,8,4,7,2,1,5]=>[4,2,7,1,6,8,5,3]
[2,5,8,3,7,6,1,4]=>[2,7,8,4,6,1,5,3]
[3,2,8,4,7,6,1,5]=>[7,8,1,4,6,2,5,3]
[1,5,8,3,7,2,6,4]=>[2,8,4,6,7,5,1,3]
[3,5,8,4,7,2,1,6]=>[2,4,7,1,6,8,5,3]
[5,6,8,2,3,7,1,4]=>[4,1,5,2,7,8,6,3]
[1,6,8,4,2,7,5,3]=>[4,2,8,7,5,6,1,3]
[1,5,8,4,2,7,6,3]=>[2,4,8,7,5,6,1,3]
[1,5,8,2,3,7,6,4]=>[2,8,7,4,5,6,1,3]
[2,1,8,4,3,7,6,5]=>[8,4,7,1,5,6,2,3]
[2,5,8,4,3,7,1,6]=>[2,5,4,7,8,1,6,3]
[5,6,8,4,1,2,7,3]=>[1,8,5,2,6,4,7,3]
[5,6,8,1,3,2,7,4]=>[5,1,8,4,2,6,7,3]
[1,6,8,4,3,2,7,5]=>[5,4,2,8,6,7,1,3]
[5,6,8,4,3,2,1,7]=>[1,2,7,6,5,4,8,3]
[7,1,2,8,6,5,4,3]=>[8,7,6,5,2,3,1,4]
[7,1,4,8,6,2,5,3]=>[8,3,6,7,5,2,1,4]
[7,3,1,8,6,2,5,4]=>[8,2,6,7,5,3,1,4]
[7,2,4,8,3,6,1,5]=>[3,5,7,8,2,1,6,4]
[7,1,4,8,3,2,6,5]=>[3,5,8,6,7,2,1,4]
[7,4,5,8,3,2,1,6]=>[2,3,7,6,5,1,8,4]
[1,6,2,8,7,5,4,3]=>[2,8,7,6,5,1,3,4]
[1,6,4,8,7,2,5,3]=>[8,3,2,6,7,5,1,4]
[3,6,4,8,7,2,1,5]=>[7,3,1,2,6,8,5,4]
[3,2,5,8,7,6,1,4]=>[7,8,1,3,6,2,5,4]
[3,2,4,8,7,6,1,5]=>[7,8,1,6,2,3,5,4]
[3,1,5,8,7,2,6,4]=>[8,1,3,6,7,5,2,4]
[3,1,4,8,7,2,6,5]=>[8,1,6,7,3,5,2,4]
[1,6,4,8,2,7,5,3]=>[8,3,2,7,5,6,1,4]
[1,4,5,8,2,7,6,3]=>[8,2,3,7,5,6,1,4]
[2,4,5,8,3,7,1,6]=>[2,3,5,7,8,1,6,4]
[4,6,5,8,1,2,7,3]=>[8,1,5,3,2,6,7,4]
[1,6,4,8,3,2,7,5]=>[3,5,2,8,6,7,1,4]
[1,4,5,8,3,2,7,6]=>[2,3,5,8,6,7,1,4]
[7,6,1,4,8,2,5,3]=>[4,8,6,7,3,2,1,5]
[7,6,1,3,8,2,5,4]=>[8,4,6,7,3,2,1,5]
[7,6,3,4,8,2,1,5]=>[3,4,7,6,2,1,8,5]
[7,2,5,1,8,6,4,3]=>[3,8,7,2,6,4,1,5]
[7,2,5,3,8,6,1,4]=>[7,3,8,2,4,1,6,5]
[7,2,1,4,8,6,5,3]=>[8,7,2,4,6,3,1,5]
[7,2,1,3,8,6,5,4]=>[8,7,2,6,3,4,1,5]
[7,2,3,4,8,6,1,5]=>[7,8,2,3,4,1,6,5]
[7,3,5,4,8,2,1,6]=>[4,2,3,7,6,1,8,5]
[2,6,5,1,8,7,4,3]=>[3,2,8,7,1,6,4,5]
[2,3,5,4,8,7,1,6]=>[3,7,8,1,2,4,6,5]
[1,6,5,4,8,2,7,3]=>[4,3,2,8,6,7,1,5]
[1,6,5,3,8,2,7,4]=>[8,4,3,2,6,7,1,5]
[1,6,3,4,8,2,7,5]=>[8,3,4,2,6,7,1,5]
[1,3,5,4,8,2,7,6]=>[3,8,2,4,6,7,1,5]
[3,6,5,4,8,2,1,7]=>[4,3,1,2,7,6,8,5]
[7,6,5,2,3,8,1,4]=>[4,5,7,3,2,1,8,6]
[7,6,1,4,2,8,5,3]=>[4,8,7,3,5,2,1,6]
[7,6,1,2,3,8,5,4]=>[8,7,3,4,5,2,1,6]
[7,6,2,4,3,8,1,5]=>[5,3,4,7,2,1,8,6]
[7,1,5,4,2,8,6,3]=>[4,3,8,7,2,5,1,6]
[7,1,5,2,3,8,6,4]=>[8,7,4,2,3,5,1,6]
[7,1,2,4,3,8,6,5]=>[8,4,7,2,3,5,1,6]
[2,6,5,4,3,8,1,7]=>[5,4,3,1,2,7,8,6]
[7,6,1,4,3,2,8,5]=>[5,4,8,3,6,2,1,7]
[7,1,5,4,3,2,8,6]=>[5,4,3,8,2,6,1,7]
[3,4,2,6,7,8,1,5]=>[1,2,4,7,3,5,8,6]
[3,1,4,2,6,8,7,5]=>[1,8,3,5,7,2,4,6]
[8,3,4,2,6,1,7,5]=>[2,3,8,4,6,5,7,1]
[2,6,7,3,5,4,1,8]=>[7,4,2,6,1,5,3,8]
[2,7,8,3,5,4,1,6]=>[7,4,6,5,1,2,8,3]
[2,6,8,3,5,4,1,7]=>[7,4,2,6,1,5,8,3]
[4,7,1,2,8,5,3,6]=>[1,7,6,8,3,4,2,5]
[4,8,1,2,7,5,3,6]=>[1,7,6,8,3,4,5,2]
[2,1,6,3,7,5,4,8]=>[7,6,1,4,2,3,5,8]
[2,7,1,3,6,8,4,5]=>[7,5,8,1,3,4,2,6]
[6,7,3,2,8,1,4,5]=>[4,3,6,1,7,2,8,5]
[7,3,4,2,6,1,8,5]=>[2,3,8,4,6,5,1,7]
[7,4,1,2,8,5,3,6]=>[7,6,2,8,3,4,1,5]
[8,7,4,2,1,5,3,6]=>[4,7,5,3,6,8,2,1]
[7,4,1,2,6,5,3,8]=>[7,6,3,2,4,5,1,8]
[7,4,3,1,5,6,8,2]=>[5,3,2,6,8,4,1,7]
[6,7,4,1,5,8,3,2]=>[5,3,1,8,7,4,2,6]
[4,7,5,1,6,8,3,2]=>[5,1,3,8,7,4,2,6]
[4,5,3,1,7,6,8,2]=>[1,3,2,6,5,8,4,7]
[4,6,1,2,7,5,3,8]=>[1,7,6,3,4,2,5,8]
[2,7,1,3,6,5,4,8]=>[7,6,1,3,4,5,2,8]
[4,1,8,2,6,5,3,7]=>[1,7,6,4,5,8,2,3]
[4,6,1,2,8,5,3,7]=>[1,7,6,8,3,2,4,5]
[8,4,3,1,5,6,7,2]=>[5,3,2,6,8,4,7,1]
[4,5,3,1,8,6,7,2]=>[1,3,2,6,8,7,4,5]
[4,8,5,6,3,1,7,2]=>[3,8,1,6,5,4,7,2]
[5,1,3,4,8,6,7,2]=>[6,8,3,1,4,7,2,5]
[5,4,3,8,1,6,7,2]=>[3,2,1,6,8,5,7,4]
[8,5,3,4,1,6,7,2]=>[3,6,4,2,8,5,7,1]
[6,4,8,2,1,5,3,7]=>[4,2,7,5,1,6,8,3]
[6,7,3,2,5,1,4,8]=>[4,3,6,1,7,5,2,8]
[6,8,3,2,5,1,4,7]=>[4,3,6,1,7,5,8,2]
[5,7,1,4,6,8,3,2]=>[4,1,5,8,7,3,2,6]
[5,1,3,4,7,6,8,2]=>[6,3,4,1,5,8,2,7]
[6,1,4,2,7,5,3,8]=>[3,7,6,2,4,1,5,8]
[5,4,3,7,1,6,8,2]=>[3,2,1,6,8,5,4,7]
[6,7,5,4,1,8,3,2]=>[1,8,7,5,4,3,2,6]
[7,6,4,2,1,5,3,8]=>[4,7,5,3,6,2,1,8]
[8,2,7,6,5,4,1,3]=>[7,8,6,5,2,4,3,1]
[7,2,8,6,5,4,3,1]=>[8,7,6,5,2,1,4,3]
[8,7,2,6,5,4,1,3]=>[7,8,6,3,5,4,2,1]
[3,2,8,7,6,5,1,4]=>[7,8,6,1,5,2,4,3]
[4,8,7,6,5,3,1,2]=>[7,8,6,1,5,4,3,2]
[7,8,6,1,5,4,3,2]=>[8,7,6,4,1,5,3,2]
[7,3,8,6,5,4,2,1]=>[8,7,6,2,1,5,4,3]
[4,8,5,7,6,3,2,1]=>[8,3,7,1,6,5,4,2]
[3,8,7,4,6,5,2,1]=>[8,4,7,6,1,5,3,2]
[2,8,7,6,3,5,4,1]=>[8,5,7,6,4,1,3,2]
[8,5,6,1,3,2,4,7]=>[6,4,5,2,7,3,8,1]
[8,6,1,5,3,2,4,7]=>[6,5,7,3,4,2,8,1]
[7,8,1,5,3,2,4,6]=>[6,5,7,3,4,1,8,2]
[8,1,7,5,3,2,4,6]=>[6,5,7,4,8,2,3,1]
[8,6,1,4,5,2,3,7]=>[6,4,7,3,5,2,8,1]
[8,6,3,1,5,2,4,7]=>[6,3,7,4,5,2,8,1]
[8,4,6,1,5,2,3,7]=>[6,2,7,4,5,3,8,1]
[8,6,2,1,5,4,3,7]=>[7,3,6,4,5,2,8,1]
[8,5,2,6,1,4,3,7]=>[7,3,5,2,6,4,8,1]
[8,5,2,1,7,4,3,6]=>[7,3,6,2,8,4,5,1]
[7,8,2,1,5,4,3,6]=>[7,3,6,4,5,1,8,2]
[7,8,3,1,5,2,4,6]=>[6,3,7,4,5,1,8,2]
[8,2,7,5,1,3,4,6]=>[5,6,7,2,4,8,3,1]
[8,4,1,7,5,2,3,6]=>[6,2,7,5,8,3,4,1]
[8,2,7,1,5,4,3,6]=>[7,6,2,4,5,8,3,1]
[8,2,6,1,7,4,3,5]=>[7,6,8,2,4,3,5,1]
[8,1,7,4,3,2,6,5]=>[5,4,8,6,7,2,3,1]
[8,1,5,7,3,2,6,4]=>[5,3,8,6,7,2,4,1]
[5,7,8,1,3,2,6,4]=>[5,1,8,4,6,2,7,3]
[8,2,6,1,5,7,3,4]=>[7,5,8,2,4,3,6,1]
[5,8,1,6,7,2,3,4]=>[6,1,7,4,8,3,5,2]
[5,7,6,1,8,2,3,4]=>[6,1,7,8,4,3,2,5]
[6,7,2,5,1,8,3,4]=>[7,8,3,1,5,4,2,6]
[7,5,1,6,8,2,3,4]=>[6,7,4,2,8,3,1,5]
[6,5,7,1,8,2,3,4]=>[6,7,2,1,8,4,3,5]
[6,7,3,8,1,2,4,5]=>[5,3,6,1,7,2,8,4]
[7,5,4,1,8,2,3,6]=>[6,7,3,2,8,4,1,5]
[7,6,1,4,8,2,3,5]=>[6,4,7,8,3,2,1,5]
[8,1,6,4,7,2,3,5]=>[6,4,7,3,8,2,5,1]
[7,5,8,1,3,2,4,6]=>[6,4,5,2,7,1,8,3]
[7,8,4,1,3,2,5,6]=>[6,4,5,3,7,1,8,2]
[8,3,7,4,1,2,5,6]=>[2,5,6,4,7,8,3,1]
[8,5,1,7,3,2,4,6]=>[6,5,7,2,8,3,4,1]
[6,8,1,7,3,2,4,5]=>[6,5,7,1,8,3,4,2]
[7,1,8,4,3,6,2,5]=>[5,4,7,8,6,2,1,3]
[7,3,1,8,6,4,2,5]=>[7,2,6,8,5,3,1,4]
[8,3,1,7,4,6,2,5]=>[2,5,7,8,6,3,4,1]
[8,4,5,1,7,2,3,6]=>[6,2,7,3,8,4,5,1]
[5,6,8,1,7,2,3,4]=>[6,1,7,2,8,4,5,3]
[6,5,8,1,2,7,3,4]=>[7,8,4,2,1,5,6,3]
[7,3,1,8,5,6,2,4]=>[7,2,5,8,6,3,1,4]
[6,2,7,8,3,1,5,4]=>[5,8,6,2,1,3,7,4]
[5,8,1,7,3,2,6,4]=>[5,1,8,6,7,3,4,2]
[8,4,1,7,3,2,6,5]=>[5,2,8,6,7,3,4,1]
[8,3,4,7,1,2,6,5]=>[2,3,8,5,6,7,4,1]
[8,2,7,4,1,3,6,5]=>[8,5,2,4,6,7,3,1]
[7,4,8,2,1,3,6,5]=>[4,2,8,5,6,1,7,3]
[7,4,3,8,1,2,6,5]=>[3,2,8,5,6,1,7,4]
[8,2,3,6,7,1,5,4]=>[8,6,2,3,4,7,5,1]
[2,6,8,7,1,5,4,3]=>[2,8,7,5,6,1,4,3]
[7,8,5,2,3,6,4,1]=>[8,4,5,3,1,7,6,2]
[8,7,5,2,3,1,6,4]=>[4,5,8,6,3,7,2,1]
[6,8,5,2,3,4,7,1]=>[4,5,1,6,3,8,7,2]
[3,5,2,6,8,1,4,7]=>[6,1,3,2,4,7,8,5]
[3,5,2,4,6,8,1,7]=>[1,3,4,2,5,7,8,6]
[2,4,5,7,3,6,8,1]=>[2,3,5,6,1,4,8,7]
[2,4,5,3,6,8,1,7]=>[2,4,1,3,5,7,8,6]
[5,2,4,6,8,1,3,7]=>[3,6,2,1,4,7,8,5]
[5,1,3,4,6,8,2,7]=>[3,4,5,1,7,8,2,6]
[4,3,5,2,6,8,1,7]=>[2,1,4,3,5,7,8,6]
[4,3,5,7,2,8,1,6]=>[2,1,3,5,7,4,8,6]
[4,3,5,7,2,6,8,1]=>[2,1,3,5,6,4,8,7]
[4,6,3,7,2,5,8,1]=>[1,3,5,2,6,4,8,7]
[4,6,3,1,7,8,2,5]=>[1,3,7,5,2,8,4,6]
[4,3,5,1,7,8,2,6]=>[2,1,3,7,5,8,4,6]
[5,7,1,3,4,8,2,6]=>[4,5,1,7,8,3,2,6]
[5,7,1,3,4,6,8,2]=>[4,5,1,6,8,3,2,7]
[4,5,7,1,3,6,8,2]=>[1,5,2,6,8,4,3,7]
[4,3,6,7,1,5,8,2]=>[1,6,2,3,8,5,4,7]
[4,6,3,5,1,7,8,2]=>[1,3,6,4,2,8,5,7]
[4,6,3,5,7,2,8,1]=>[1,3,4,2,6,5,8,7]
[3,5,6,4,1,7,8,2]=>[2,6,1,4,3,8,5,7]
[3,1,5,6,7,4,8,2]=>[1,3,4,6,5,8,2,7]
[5,1,6,7,3,4,8,2]=>[5,3,1,6,4,8,2,7]
[6,4,7,1,3,5,8,2]=>[5,2,6,1,8,4,3,7]
[1,6,7,3,4,5,8,2]=>[4,5,2,6,3,8,1,7]
[2,6,7,4,5,8,1,3]=>[4,2,7,5,1,3,8,6]
[2,6,7,4,8,1,3,5]=>[6,4,2,7,1,3,8,5]
[5,3,6,1,2,7,8,4]=>[2,6,1,8,4,3,5,7]
[3,5,2,6,1,7,8,4]=>[6,1,3,2,4,8,5,7]
[3,5,2,6,7,4,8,1]=>[4,1,2,6,3,5,8,7]
[5,2,3,6,7,4,8,1]=>[4,6,2,1,3,5,8,7]
[5,2,3,6,1,7,8,4]=>[6,2,3,1,4,8,5,7]
[5,2,6,1,3,7,8,4]=>[6,8,2,1,4,3,5,7]
[4,2,6,7,3,5,8,1]=>[1,5,3,6,2,4,8,7]
[6,3,7,2,4,5,8,1]=>[2,4,5,1,6,3,8,7]
[3,5,7,2,8,1,4,6]=>[4,1,2,6,7,3,8,5]
[3,7,2,4,8,1,5,6]=>[1,3,4,6,7,2,8,5]
[7,2,4,6,8,1,3,5]=>[3,6,7,2,4,1,8,5]
[7,1,3,4,6,8,2,5]=>[7,3,4,5,8,2,1,6]
[3,7,2,4,6,8,1,5]=>[7,1,3,4,5,2,8,6]
[3,5,7,2,6,8,1,4]=>[2,7,1,4,5,3,8,6]
[6,3,7,2,5,8,1,4]=>[7,2,4,1,5,3,8,6]
[6,3,5,7,2,8,1,4]=>[5,2,3,1,7,4,8,6]
[6,3,5,7,2,4,8,1]=>[5,2,3,1,6,4,8,7]
[6,2,4,5,7,3,8,1]=>[3,4,6,2,1,5,8,7]
[6,2,4,5,1,7,8,3]=>[3,6,2,4,1,8,5,7]
[4,7,1,2,5,6,8,3]=>[5,1,6,8,3,4,2,7]
[2,6,7,5,8,1,3,4]=>[6,2,7,4,1,3,8,5]
[4,6,7,1,2,5,8,3]=>[1,6,8,4,2,5,3,7]
[5,6,2,4,7,3,8,1]=>[4,1,6,3,2,5,8,7]
[5,4,2,6,7,3,8,1]=>[4,2,1,6,3,5,8,7]
[5,4,2,6,1,7,8,3]=>[6,3,2,1,4,8,5,7]
[1,5,4,6,2,7,8,3]=>[3,2,6,4,8,1,5,7]
[5,6,4,1,2,7,8,3]=>[6,1,8,4,3,2,5,7]
[6,4,5,1,2,7,8,3]=>[6,2,8,4,3,1,5,7]
[6,3,5,1,7,8,2,4]=>[7,2,5,3,1,8,4,6]
[6,5,7,2,8,1,3,4]=>[4,6,2,1,7,3,8,5]
[6,5,7,1,3,4,8,2]=>[5,6,2,1,8,4,3,7]
[5,6,4,7,1,3,8,2]=>[1,6,3,2,8,5,4,7]
[5,4,6,3,1,7,8,2]=>[2,1,6,4,3,8,5,7]
[7,5,3,2,4,8,1,6]=>[4,3,5,2,7,1,8,6]
[8,4,5,2,6,1,3,7]=>[4,2,6,3,7,5,8,1]
[8,5,4,2,1,6,3,7]=>[4,7,5,3,2,6,8,1]
[8,5,3,4,1,6,2,7]=>[3,7,5,4,2,6,8,1]
[8,4,5,3,1,6,2,7]=>[2,7,5,4,3,6,8,1]
[7,5,4,2,1,8,3,6]=>[4,7,3,2,8,5,1,6]
[7,5,4,2,1,6,8,3]=>[4,6,3,2,8,5,1,7]
[7,4,5,3,1,6,8,2]=>[2,6,4,3,8,5,1,7]
[7,4,3,5,6,1,8,2]=>[3,2,4,8,6,5,1,7]
[5,6,3,7,4,1,8,2]=>[1,8,3,2,6,5,4,7]
[5,6,7,3,1,4,8,2]=>[1,6,4,2,8,5,3,7]
[6,7,3,4,1,5,8,2]=>[3,6,4,1,8,5,2,7]
[6,7,4,2,1,5,8,3]=>[4,6,3,1,8,5,2,7]
[5,6,7,3,1,8,2,4]=>[1,7,4,2,8,5,3,6]
[5,6,3,7,8,1,2,4]=>[3,1,6,2,7,4,8,5]
[5,6,3,7,2,4,8,1]=>[3,1,5,2,6,4,8,7]
[5,6,7,2,3,8,1,4]=>[4,1,5,2,7,3,8,6]
[7,4,5,2,8,1,3,6]=>[4,2,6,3,7,1,8,5]
[6,7,3,2,4,8,1,5]=>[4,3,5,1,7,2,8,6]
[7,6,4,2,1,3,8,5]=>[4,8,5,3,6,2,1,7]
[7,6,3,4,1,2,8,5]=>[3,8,5,4,6,2,1,7]
[7,6,3,2,4,1,8,5]=>[4,3,5,8,6,2,1,7]
[6,7,3,2,5,1,8,4]=>[3,8,4,1,6,5,2,7]
[6,5,3,2,7,8,1,4]=>[3,7,4,2,1,5,8,6]
[6,5,3,2,7,4,8,1]=>[3,6,4,2,1,5,8,7]
[6,4,5,2,7,3,8,1]=>[2,6,4,3,1,5,8,7]
[6,4,5,2,7,8,1,3]=>[2,7,4,3,1,5,8,6]
[7,4,5,2,6,1,8,3]=>[2,8,4,3,6,5,1,7]
[7,4,5,6,1,2,8,3]=>[2,8,5,3,6,4,1,7]
[7,5,6,2,1,3,8,4]=>[4,8,5,2,6,3,1,7]
[6,7,3,5,1,2,8,4]=>[3,8,5,1,6,4,2,7]
[5,6,7,4,1,2,8,3]=>[1,8,5,2,6,4,3,7]
[5,6,7,2,4,1,8,3]=>[1,8,4,2,6,5,3,7]
[5,6,4,2,7,8,1,3]=>[1,7,4,3,2,5,8,6]
[6,5,7,2,1,8,3,4]=>[4,7,2,1,8,5,3,6]
[6,5,7,2,1,4,8,3]=>[4,6,2,1,8,5,3,7]
[5,4,6,7,3,1,8,2]=>[2,1,3,8,6,5,4,7]
[5,7,8,3,6,4,1,2]=>[1,4,7,2,8,6,5,3]
[3,7,8,5,6,4,1,2]=>[7,4,2,8,1,6,5,3]
[3,7,8,5,6,1,4,2]=>[8,6,4,1,2,7,5,3]
[1,7,8,5,6,3,4,2]=>[6,4,2,8,7,5,1,3]
[1,7,5,8,6,3,4,2]=>[3,6,2,8,7,5,1,4]
[3,7,5,8,6,1,4,2]=>[3,8,6,1,2,7,5,4]
[3,7,5,8,6,4,1,2]=>[3,7,2,8,1,6,5,4]
[5,7,3,8,6,4,1,2]=>[1,7,8,3,2,6,5,4]
[7,3,8,5,6,4,1,2]=>[7,4,8,2,1,6,5,3]
[7,3,5,8,6,4,1,2]=>[3,7,8,2,1,6,5,4]
[3,5,7,8,6,4,1,2]=>[7,2,3,8,1,6,5,4]
[1,5,7,8,6,3,4,2]=>[6,2,3,8,7,5,1,4]
[1,5,7,8,3,6,4,2]=>[8,2,5,3,7,6,1,4]
[3,5,7,8,1,6,4,2]=>[8,2,7,1,5,3,6,4]
[5,3,7,8,1,6,4,2]=>[1,8,7,2,5,3,6,4]
[7,3,5,8,6,1,4,2]=>[3,8,2,6,1,7,5,4]
[7,3,8,5,6,1,4,2]=>[8,6,2,4,1,7,5,3]
[7,8,1,5,6,3,4,2]=>[6,4,8,7,3,1,5,2]
[7,1,8,5,6,3,4,2]=>[6,4,8,7,5,2,1,3]
[7,1,5,8,6,3,4,2]=>[3,6,8,7,5,2,1,4]
[5,1,7,8,3,6,4,2]=>[1,8,5,3,7,6,2,4]
[3,1,7,8,5,6,4,2]=>[5,3,8,1,7,6,2,4]
[1,3,7,8,5,6,4,2]=>[5,3,8,7,2,6,1,4]
[3,1,7,5,8,6,4,2]=>[8,4,1,3,7,6,2,5]
[5,1,7,3,8,6,4,2]=>[1,8,7,4,3,6,2,5]
[7,1,5,3,8,6,4,2]=>[3,8,7,4,6,2,1,5]
[7,1,5,8,3,6,4,2]=>[3,8,5,7,6,2,1,4]
[7,8,1,5,3,6,4,2]=>[8,5,4,7,3,1,6,2]
[7,8,3,5,1,6,4,2]=>[8,3,7,5,4,1,6,2]
[7,3,5,8,1,6,4,2]=>[3,8,2,7,5,1,6,4]
[5,3,7,1,8,6,4,2]=>[1,8,7,2,6,4,3,5]
[3,5,7,1,8,6,4,2]=>[8,2,7,1,6,4,3,5]
[1,7,5,3,8,6,4,2]=>[3,8,7,4,2,6,1,5]
[5,7,3,1,8,6,4,2]=>[1,8,3,7,6,4,2,5]
[5,7,3,8,6,1,4,2]=>[1,8,3,6,2,7,5,4]
[3,7,5,8,1,6,4,2]=>[3,8,7,1,5,2,6,4]
[1,7,5,8,3,6,4,2]=>[3,8,5,2,7,6,1,4]
[1,7,8,5,3,6,4,2]=>[8,5,4,2,7,6,1,3]
[3,7,8,5,1,6,4,2]=>[8,7,5,1,4,2,6,3]
[5,7,8,3,6,1,4,2]=>[1,4,8,6,2,7,5,3]
[5,7,8,6,3,1,4,2]=>[8,1,6,5,2,7,4,3]
[7,5,8,6,1,3,4,2]=>[6,2,8,5,1,7,4,3]
[5,7,8,1,6,3,4,2]=>[1,6,8,7,4,2,5,3]
[5,7,8,1,3,6,4,2]=>[1,8,5,7,4,2,6,3]
[3,7,8,1,5,6,4,2]=>[5,8,7,1,4,2,6,3]
[1,7,8,3,5,6,4,2]=>[5,8,4,2,7,6,1,3]
[1,7,3,8,5,6,4,2]=>[5,8,7,3,2,6,1,4]
[3,7,1,8,5,6,4,2]=>[5,8,7,1,6,3,2,4]
[5,7,1,8,3,6,4,2]=>[1,8,5,7,6,3,2,4]
[5,7,1,8,6,3,4,2]=>[1,6,8,7,5,3,2,4]
[7,5,1,8,6,3,4,2]=>[6,2,8,7,5,3,1,4]
[7,5,8,1,6,3,4,2]=>[6,2,8,7,4,1,5,3]
[7,8,5,1,6,3,4,2]=>[6,8,7,4,3,1,5,2]
[7,8,5,1,3,6,4,2]=>[8,5,7,4,3,1,6,2]
[7,5,8,1,3,6,4,2]=>[8,5,2,7,4,1,6,3]
[7,5,1,8,3,6,4,2]=>[8,5,2,7,6,3,1,4]
[7,5,1,3,8,6,4,2]=>[8,7,4,2,6,3,1,5]
[5,7,1,3,8,6,4,2]=>[1,8,7,4,6,3,2,5]
[3,7,1,5,8,6,4,2]=>[8,4,7,1,6,3,2,5]
[1,7,3,5,8,6,4,2]=>[8,4,7,3,2,6,1,5]
[1,5,3,7,8,6,4,2]=>[2,4,8,7,3,6,1,5]
[3,5,1,7,8,6,4,2]=>[2,4,8,1,7,6,3,5]
[5,3,1,7,8,6,4,2]=>[4,1,8,2,7,6,3,5]
[7,3,1,5,8,6,4,2]=>[8,2,4,7,6,3,1,5]
[7,3,1,8,5,6,4,2]=>[5,8,2,7,6,3,1,4]
[7,3,8,1,5,6,4,2]=>[5,8,2,7,4,1,6,3]
[7,8,3,1,5,6,4,2]=>[3,5,8,7,4,1,6,2]
[7,8,1,3,5,6,4,2]=>[5,8,4,7,3,1,6,2]
[7,1,8,3,5,6,4,2]=>[5,8,4,7,6,2,1,3]
[7,1,3,8,5,6,4,2]=>[5,8,7,3,6,2,1,4]
[7,1,3,5,8,6,4,2]=>[8,4,7,3,6,2,1,5]
[3,1,5,7,8,6,4,2]=>[4,8,1,3,7,6,2,5]
[5,7,3,4,6,8,1,2]=>[3,1,4,7,5,2,8,6]
[5,7,3,4,8,6,1,2]=>[3,1,4,7,2,8,6,5]
[5,7,3,4,8,1,6,2]=>[3,1,4,8,6,2,7,5]
[5,7,3,4,1,8,6,2]=>[3,1,4,8,7,5,2,6]
[5,7,3,4,1,6,8,2]=>[3,1,6,4,8,5,2,7]
[5,7,3,4,6,1,2,8]=>[3,1,6,4,7,5,2,8]
[7,3,5,6,1,2,8,4]=>[8,2,5,3,6,4,1,7]
[5,7,3,1,4,6,2,8]=>[5,3,1,7,4,6,2,8]
[5,7,3,1,4,6,8,2]=>[5,3,1,6,8,4,2,7]
[5,7,3,1,4,8,6,2]=>[3,1,8,5,7,4,2,6]
[5,7,3,1,4,8,2,6]=>[5,3,1,7,8,4,2,6]
[5,3,7,4,1,2,8,6]=>[8,2,1,5,4,6,3,7]
[5,3,7,4,1,2,6,8]=>[2,5,1,6,4,7,3,8]
[5,3,7,1,4,2,6,8]=>[2,6,4,1,5,7,3,8]
[5,3,7,1,4,2,8,6]=>[2,5,1,8,4,6,3,7]
[3,7,5,1,2,8,6,4]=>[8,7,1,4,3,5,2,6]
[7,8,3,5,1,2,6,4]=>[3,8,5,6,4,1,7,2]
[7,3,8,5,1,2,6,4]=>[8,2,5,6,4,1,7,3]
[7,3,5,8,1,2,6,4]=>[8,2,5,3,6,1,7,4]
[3,7,5,1,2,6,4,8]=>[7,1,4,5,3,6,2,8]
[3,7,5,1,2,6,8,4]=>[6,8,1,4,3,5,2,7]
[6,1,4,3,5,2,8,7]=>[4,3,5,8,2,1,6,7]
[2,5,7,3,8,4,1,6]=>[2,7,4,6,1,3,8,5]
[5,4,7,8,6,1,3,2]=>[1,8,2,6,3,7,5,4]
[7,5,6,2,8,3,1,4]=>[7,4,2,6,3,1,8,5]
[4,7,2,5,8,3,1,6]=>[1,4,7,3,6,2,8,5]
[6,2,4,5,1,3,8,7]=>[3,8,2,5,4,1,6,7]
[5,1,4,6,3,2,8,7]=>[3,5,4,1,8,2,6,7]
[3,5,6,2,4,1,8,7]=>[4,1,2,5,3,8,6,7]
[3,8,6,7,5,4,1,2]=>[7,3,8,6,1,5,4,2]
[6,2,7,8,3,4,1,5]=>[5,7,6,2,1,3,8,4]
[2,5,3,4,8,1,7,6]=>[8,3,1,2,4,6,7,5]
[8,7,1,2,5,3,4,6]=>[6,7,3,4,5,8,2,1]
[5,1,8,2,3,4,7,6]=>[8,4,5,1,6,7,2,3]
[5,4,7,6,2,8,1,3]=>[2,1,5,7,4,3,8,6]
[3,7,8,1,5,4,6,2]=>[6,5,8,1,4,2,7,3]
[7,1,3,4,6,8,5,2]=>[5,8,3,4,7,2,1,6]
[8,3,6,5,7,1,4,2]=>[8,6,2,4,3,7,5,1]
[5,8,7,1,4,6,2,3]=>[1,7,5,8,4,6,3,2]
[4,7,6,1,8,3,5,2]=>[6,8,1,7,4,3,2,5]
[4,7,2,6,3,8,5,1]=>[8,1,5,3,4,2,7,6]
[2,1,8,4,6,7,3,5]=>[7,4,5,8,1,6,2,3]
[4,7,8,6,3,1,2,5]=>[6,7,1,5,2,8,4,3]
[3,8,1,5,6,7,2,4]=>[4,7,1,5,8,3,6,2]
[6,7,2,4,8,5,3,1]=>[8,4,1,7,3,2,6,5]
[2,8,3,6,7,5,1,4]=>[7,4,8,3,6,1,5,2]
[8,2,1,7,6,3,5,4]=>[8,6,7,2,5,3,4,1]
[3,2,4,5,8,1,7,6]=>[1,8,2,3,4,6,7,5]
[7,4,6,3,2,1,8,5]=>[2,5,4,8,6,3,1,7]
[4,7,3,2,1,8,6,5]=>[1,3,8,4,7,5,2,6]
[6,4,7,5,2,3,8,1]=>[2,5,1,6,4,3,8,7]
[6,4,8,1,7,3,2,5]=>[2,7,6,1,8,4,5,3]
[4,8,7,2,3,1,5,6]=>[1,4,6,5,7,8,3,2]
[4,2,3,1,8,7,5,6]=>[7,1,8,2,3,6,4,5]
[7,6,8,1,3,5,2,4]=>[5,7,8,4,2,1,6,3]
[6,7,5,2,3,1,8,4]=>[4,5,1,8,6,3,2,7]
[4,7,2,6,5,1,8,3]=>[8,1,6,3,5,4,2,7]
[6,4,2,1,8,5,7,3]=>[6,2,8,3,1,7,4,5]
[7,2,1,5,6,8,4,3]=>[4,5,8,2,7,3,1,6]
[8,7,2,6,4,1,5,3]=>[8,6,3,5,7,4,2,1]
[6,7,8,2,5,3,1,4]=>[7,4,1,6,2,8,5,3]
[2,1,7,3,6,8,5,4]=>[5,8,7,1,4,2,3,6]
[2,1,5,7,8,4,6,3]=>[6,3,4,8,1,7,2,5]
[2,5,7,8,3,6,1,4]=>[2,5,7,3,8,1,6,4]
[6,4,1,5,7,2,8,3]=>[4,2,8,6,3,1,5,7]
[7,4,8,1,2,5,6,3]=>[6,2,8,4,5,1,7,3]
[4,2,7,8,6,3,5,1]=>[6,1,3,8,7,2,5,4]
[6,1,7,4,3,2,8,5]=>[5,4,8,6,2,1,3,7]
[6,8,3,4,2,1,7,5]=>[3,5,4,1,8,6,7,2]
[4,2,6,1,5,7,8,3]=>[5,1,6,2,3,8,4,7]
[2,4,6,7,3,5,8,1]=>[5,2,3,6,1,4,8,7]
[6,5,8,3,7,4,1,2]=>[4,2,1,7,8,6,5,3]
[7,1,4,8,3,5,6,2]=>[3,5,6,8,7,2,1,4]
[6,8,7,5,3,4,1,2]=>[1,7,5,8,6,4,3,2]
[4,8,6,3,1,5,7,2]=>[6,1,4,8,5,3,7,2]
[3,4,8,2,5,7,6,1]=>[8,1,2,4,5,7,6,3]
[3,6,8,7,2,5,1,4]=>[5,2,7,8,1,6,4,3]
[3,5,7,2,8,6,1,4]=>[2,7,8,1,4,3,6,5]
[2,5,7,4,8,6,1,3]=>[2,4,7,3,8,1,6,5]
[1,6,3,7,5,2,8,4]=>[8,6,3,2,5,1,4,7]
[2,6,3,7,5,1,8,4]=>[8,6,3,1,2,5,4,7]
[2,6,4,8,7,5,1,3]=>[7,2,8,3,6,1,5,4]
[6,3,7,2,8,5,1,4]=>[7,8,2,1,4,3,6,5]
[3,6,2,5,8,7,1,4]=>[4,7,1,2,8,3,6,5]
[5,2,8,4,7,6,1,3]=>[4,1,7,8,6,2,5,3]
[7,2,4,8,6,5,1,3]=>[7,8,3,6,2,1,5,4]
[6,2,4,8,7,5,1,3]=>[7,8,3,1,6,2,5,4]
[2,4,5,8,7,6,1,3]=>[7,8,2,3,6,1,5,4]
[2,3,5,7,6,1,8,4]=>[8,3,6,1,2,5,4,7]
[1,3,4,6,2,8,7,5]=>[4,8,2,3,7,1,5,6]
[5,2,3,6,1,8,7,4]=>[4,8,2,1,3,7,5,6]
[4,2,7,3,8,1,6,5]=>[1,8,4,6,2,3,7,5]
[2,5,1,4,7,3,8,6]=>[8,4,1,2,6,3,5,7]
[6,1,3,8,7,2,5,4]=>[8,6,7,3,1,5,2,4]
[3,1,5,6,2,8,7,4]=>[1,3,4,8,7,2,5,6]
[1,2,4,6,3,8,7,5]=>[4,8,3,7,1,2,5,6]
[4,1,5,2,8,7,6,3]=>[1,8,3,7,6,2,4,5]
[7,1,4,2,8,6,5,3]=>[8,3,7,6,2,4,1,5]
[5,1,3,7,2,8,6,4]=>[8,7,3,1,5,2,4,6]
[4,1,5,3,2,8,7,6]=>[3,1,8,4,7,2,5,6]
[2,6,1,4,3,8,7,5]=>[8,4,7,1,3,2,5,6]
[3,6,2,4,1,8,7,5]=>[8,1,3,4,2,7,5,6]
[7,2,3,5,1,8,6,4]=>[4,8,2,3,7,5,1,6]
[7,3,4,1,8,6,5,2]=>[8,2,3,7,6,4,1,5]
[6,3,4,1,8,7,5,2]=>[8,2,3,1,7,6,4,5]
[3,4,5,1,8,7,6,2]=>[8,1,2,3,7,6,4,5]
[1,4,5,2,8,7,6,3]=>[8,2,3,7,6,1,4,5]
[1,6,4,2,8,7,5,3]=>[8,3,2,7,6,1,4,5]
[5,6,3,1,8,7,4,2]=>[1,8,3,2,7,6,4,5]
[7,4,2,5,1,8,6,3]=>[4,2,8,3,7,5,1,6]
[5,3,6,2,8,1,7,4]=>[8,2,1,4,3,6,7,5]
[4,6,2,7,5,1,8,3]=>[8,1,6,3,2,5,4,7]
[4,5,2,6,1,8,7,3]=>[1,4,2,8,3,7,5,6]
[1,5,3,6,2,8,7,4]=>[4,2,8,3,7,1,5,6]
[1,5,8,3,2,7,6,4]=>[2,8,4,7,5,6,1,3]
[2,5,8,3,1,7,6,4]=>[2,8,4,7,1,5,6,3]
[4,5,8,2,1,7,6,3]=>[1,2,8,4,7,5,6,3]
[3,6,2,5,1,4,8,7]=>[8,1,3,5,4,2,6,7]
[5,2,8,4,1,3,7,6]=>[8,5,2,1,4,6,7,3]
[2,4,8,7,1,3,6,5]=>[8,2,5,6,7,1,4,3]
[2,5,8,1,3,7,6,4]=>[2,8,7,1,4,5,6,3]
[2,3,8,1,4,7,6,5]=>[8,7,1,2,4,5,6,3]
[1,3,8,2,4,7,6,5]=>[8,7,2,4,5,6,1,3]
[3,4,1,7,2,8,6,5]=>[8,1,2,7,5,3,4,6]
[3,5,2,1,7,4,8,6]=>[8,1,3,2,6,4,5,7]
[6,3,1,7,2,8,5,4]=>[8,2,7,5,3,1,4,6]
[7,5,1,2,8,6,4,3]=>[8,7,6,3,2,4,1,5]
[4,6,1,2,8,7,5,3]=>[8,1,7,6,3,2,4,5]
[1,6,2,3,8,7,5,4]=>[8,7,6,3,1,2,4,5]
[1,5,2,3,8,7,6,4]=>[2,8,7,6,1,3,4,5]
[4,5,1,2,8,7,6,3]=>[1,2,8,7,6,3,4,5]
[6,4,1,2,8,7,5,3]=>[2,8,7,6,3,1,4,5]
[7,4,1,2,8,6,5,3]=>[2,8,7,6,3,4,1,5]
[5,3,1,7,2,8,6,4]=>[8,2,1,7,5,3,4,6]
[5,2,8,1,3,7,6,4]=>[8,7,2,1,4,5,6,3]
[4,1,2,8,3,7,6,5]=>[1,8,7,5,6,2,3,4]
[4,7,5,6,8,3,1,2]=>[3,7,1,4,2,8,6,5]
[8,6,4,7,5,3,1,2]=>[3,7,2,8,6,5,4,1]
[7,5,2,6,4,1,3,8]=>[6,7,3,2,5,4,1,8]
[1,6,3,7,5,8,4,2]=>[5,4,2,8,3,7,1,6]
[1,3,7,4,5,8,6,2]=>[8,4,5,2,3,7,1,6]
[7,2,6,3,4,1,5,8]=>[4,6,2,5,7,3,1,8]
[8,3,7,4,6,5,1,2]=>[4,7,8,2,6,5,3,1]
[6,8,4,7,5,3,1,2]=>[3,1,7,8,6,5,4,2]
[4,8,7,5,6,3,1,2]=>[7,4,8,1,6,5,3,2]
[3,8,7,6,4,5,1,2]=>[7,5,8,6,1,4,3,2]
[1,6,5,2,8,3,7,4]=>[8,6,3,2,7,1,4,5]
[8,6,5,2,1,4,3,7]=>[4,7,5,6,3,2,8,1]
[2,7,6,3,1,4,5,8]=>[5,4,6,7,1,3,2,8]
[6,8,5,3,2,1,4,7]=>[6,5,4,1,7,3,8,2]
[2,7,6,4,5,1,3,8]=>[6,4,7,5,1,3,2,8]
[5,7,2,6,4,1,3,8]=>[6,1,7,3,5,4,2,8]
[6,1,3,7,5,8,4,2]=>[5,4,8,3,1,7,2,6]
[4,1,7,3,6,8,5,2]=>[1,5,8,4,3,7,2,6]
[8,1,6,4,3,7,5,2]=>[4,8,5,3,7,2,6,1]
[2,1,7,4,8,6,3,5]=>[7,8,4,1,3,6,2,5]
[1,8,6,3,7,5,4,2]=>[8,7,4,3,6,5,1,2]
[1,8,2,7,3,6,5,4]=>[8,7,5,6,3,4,1,2]
[2,1,3,8,4,7,5,6]=>[7,8,1,5,6,2,3,4]
[8,1,2,7,4,3,6,5]=>[5,8,6,7,2,3,4,1]
[5,3,1,6,8,4,7,2]=>[2,4,1,6,8,7,3,5]
[6,2,8,7,1,4,3,5]=>[7,5,6,1,8,2,4,3]
[8,7,2,1,5,4,3,6]=>[7,3,6,4,5,8,2,1]
[8,2,3,1,4,6,5,7]=>[2,3,7,4,5,6,8,1]
[2,4,8,3,1,5,6,7]=>[2,5,1,4,6,7,8,3]
[3,4,2,7,1,5,6,8]=>[1,3,2,5,6,7,4,8]
[4,7,3,8,2,1,5,6]=>[1,3,6,5,7,2,8,4]
[5,2,7,3,1,4,6,8]=>[5,2,4,1,6,7,3,8]
[8,3,7,2,1,5,4,6]=>[2,4,7,5,6,8,3,1]
[1,3,7,2,8,4,6,5]=>[8,6,7,2,4,1,3,5]
[1,4,2,5,8,6,7,3]=>[2,6,8,4,7,1,3,5]
[6,5,3,8,2,1,4,7]=>[3,6,5,2,1,7,8,4]
[2,6,4,5,7,1,3,8]=>[3,6,4,1,2,7,5,8]
[5,4,6,2,7,1,3,8]=>[4,2,1,6,3,7,5,8]
[7,6,3,1,8,4,5,2]=>[3,6,8,7,4,2,1,5]
[7,6,2,1,8,5,3,4]=>[7,8,3,6,4,2,1,5]
[1,7,5,8,6,4,3,2]=>[8,3,2,7,6,5,1,4]
[6,5,1,2,8,3,7,4]=>[8,6,7,3,2,1,4,5]
[8,6,1,4,3,7,5,2]=>[4,8,5,7,3,2,6,1]
[6,8,4,1,3,7,5,2]=>[8,5,3,1,7,4,6,2]
[6,5,7,1,3,8,4,2]=>[8,5,2,1,7,4,3,6]
[5,8,3,1,7,4,6,2]=>[3,1,6,8,7,4,5,2]
[8,3,1,7,5,4,6,2]=>[6,2,5,8,7,3,4,1]
[1,3,8,7,4,6,5,2]=>[8,5,7,6,2,4,1,3]
[1,2,8,7,6,3,5,4]=>[8,6,7,5,4,1,2,3]
[8,2,1,7,6,4,3,5]=>[7,6,8,2,5,3,4,1]
[2,3,1,8,7,4,5,6]=>[6,7,8,1,2,5,3,4]
[2,4,1,8,5,7,3,6]=>[2,5,7,8,1,6,3,4]
[5,8,2,1,7,6,3,4]=>[7,1,8,3,6,4,5,2]
[6,2,7,1,8,5,3,4]=>[7,8,6,2,1,4,3,5]
[8,7,1,6,5,4,3,2]=>[8,7,6,5,3,4,2,1]
[7,1,8,3,6,5,4,2]=>[8,7,4,6,5,2,1,3]
[4,1,8,7,5,6,3,2]=>[5,8,1,7,6,4,2,3]
[2,1,7,8,4,6,3,5]=>[5,7,3,8,1,6,2,4]
[3,5,8,7,2,6,4,1]=>[8,2,5,7,1,6,4,3]
[5,8,2,7,1,6,4,3]=>[1,8,7,3,5,6,4,2]
[2,1,6,4,5,8,3,7]=>[4,5,1,3,7,8,2,6]
[8,6,3,7,5,2,1,4]=>[7,3,6,2,8,5,4,1]
[4,6,3,8,5,2,1,7]=>[7,1,3,2,6,5,8,4]
[4,6,3,7,5,2,8,1]=>[6,1,3,2,5,4,8,7]
[3,5,7,8,2,6,1,4]=>[2,5,7,1,3,8,6,4]
[5,6,2,4,1,3,8,7]=>[8,3,1,5,4,2,6,7]
[7,6,3,8,5,2,4,1]=>[6,8,3,2,1,7,5,4]
[8,2,3,4,6,1,5,7]=>[2,3,4,6,7,5,8,1]
[7,2,3,4,6,1,8,5]=>[8,2,3,4,6,5,1,7]
[8,2,3,4,7,5,1,6]=>[7,2,3,4,6,8,5,1]
[7,2,3,4,6,8,5,1]=>[5,8,2,3,4,1,7,6]
[7,8,3,6,5,1,4,2]=>[8,3,6,1,7,5,4,2]
[4,2,3,6,1,5,8,7]=>[8,2,1,3,5,4,6,7]
[4,8,3,7,5,1,6,2]=>[8,1,3,6,5,7,4,2]
[5,2,3,4,7,8,6,1]=>[5,8,2,1,3,4,7,6]
[8,2,3,4,7,1,6,5]=>[8,2,3,4,6,7,5,1]
[5,2,3,4,8,7,1,6]=>[7,8,2,1,3,4,6,5]
[5,2,3,4,6,8,1,7]=>[2,3,4,1,5,7,8,6]
[4,2,8,5,7,6,1,3]=>[1,4,7,8,6,2,5,3]
[3,7,6,4,5,1,8,2]=>[4,8,6,1,5,3,2,7]
[3,8,6,4,5,1,2,7]=>[6,4,7,1,5,3,8,2]
[4,7,3,6,5,8,2,1]=>[5,1,3,4,2,8,7,6]
[4,8,3,7,5,2,1,6]=>[7,1,3,6,5,8,4,2]
[8,7,3,6,5,1,2,4]=>[3,6,7,8,5,4,2,1]
[8,2,7,5,1,6,3,4]=>[7,8,5,2,4,6,3,1]
[4,2,7,5,8,6,3,1]=>[8,1,4,3,7,2,6,5]
[5,8,1,7,3,6,4,2]=>[1,8,5,7,6,3,4,2]
[5,2,7,8,4,6,3,1]=>[1,5,3,8,7,2,6,4]
[5,2,8,3,7,6,1,4]=>[7,1,8,4,6,2,5,3]
[8,2,7,3,1,6,4,5]=>[4,7,8,2,5,6,3,1]
[6,8,3,2,5,7,1,4]=>[3,7,4,1,5,8,6,2]
[6,7,3,8,5,4,2,1]=>[1,8,7,3,2,6,5,4]
[6,2,3,4,7,5,8,1]=>[6,2,3,4,1,5,8,7]
[6,2,3,4,8,5,1,7]=>[7,2,3,4,1,6,8,5]
[8,2,3,4,1,7,5,6]=>[2,3,4,7,8,5,6,1]
[6,2,3,4,1,8,5,7]=>[2,3,4,7,1,8,5,6]
[6,2,3,4,8,7,5,1]=>[8,7,2,3,1,4,6,5]
[6,8,3,1,5,7,4,2]=>[3,5,1,8,7,4,6,2]
[7,2,3,4,1,8,6,5]=>[8,2,3,4,7,5,1,6]
[7,2,3,4,1,5,8,6]=>[2,3,4,8,5,6,1,7]
[1,2,3,4,8,7,5,6]=>[7,8,6,1,2,3,4,5]
[1,2,8,5,3,4,6,7]=>[5,6,4,7,8,1,2,3]
[1,8,4,2,3,5,6,7]=>[4,5,3,6,7,8,1,2]
[8,6,7,4,1,5,3,2]=>[8,7,5,4,2,6,3,1]
[4,8,6,7,5,1,3,2]=>[8,6,1,3,7,5,4,2]
[7,1,8,4,6,5,2,3]=>[4,7,8,6,5,2,1,3]
[8,7,1,5,4,6,2,3]=>[7,5,4,8,3,6,2,1]
[8,5,7,1,4,6,3,2]=>[5,2,8,7,4,6,3,1]
[6,4,8,5,1,7,3,2]=>[8,2,1,7,5,4,6,3]
[4,8,5,7,1,6,3,2]=>[3,8,1,7,5,6,4,2]
[8,4,7,1,5,6,3,2]=>[2,5,8,7,4,6,3,1]
[8,7,1,4,5,6,3,2]=>[4,5,8,7,3,6,2,1]
[8,7,4,5,6,1,3,2]=>[3,8,6,4,7,5,2,1]
[8,7,5,1,4,6,2,3]=>[7,5,8,4,3,6,2,1]
[8,7,2,5,1,4,6,3]=>[6,8,3,5,4,7,2,1]
[4,8,7,2,5,1,6,3]=>[8,1,4,6,5,7,3,2]
[1,6,4,8,5,2,7,3]=>[8,3,2,6,5,7,1,4]
[8,7,1,4,2,5,6,3]=>[6,4,8,3,5,7,2,1]
[8,7,5,1,2,4,6,3]=>[6,8,4,5,3,7,2,1]
[7,1,8,5,6,2,3,4]=>[6,7,4,8,5,2,1,3]
[3,8,7,1,2,5,6,4]=>[6,8,1,4,5,7,3,2]
[3,5,8,7,1,2,6,4]=>[2,8,1,5,6,7,4,3]
[2,3,8,5,7,1,6,4]=>[4,8,6,7,1,2,5,3]
[3,8,7,1,5,6,2,4]=>[7,5,8,1,4,6,3,2]
[3,5,8,7,1,6,2,4]=>[2,7,8,1,5,6,4,3]
[2,3,8,6,7,5,1,4]=>[7,4,8,6,1,2,5,3]
[3,2,8,6,7,5,1,4]=>[7,4,8,1,6,2,5,3]
[4,1,8,6,2,7,5,3]=>[8,1,7,5,4,6,2,3]
[8,7,4,1,2,6,5,3]=>[8,7,4,3,5,6,2,1]
[1,3,8,6,7,5,2,4]=>[7,4,8,6,2,5,1,3]
[5,7,1,8,2,6,3,4]=>[7,1,8,5,6,3,2,4]
[2,8,7,1,5,6,3,4]=>[7,5,8,4,6,1,3,2]
[8,7,1,5,2,4,6,3]=>[6,8,5,3,4,7,2,1]
[7,1,8,2,4,6,5,3]=>[8,5,7,4,6,2,1,3]
[1,6,2,8,4,7,5,3]=>[8,5,2,7,6,1,3,4]
[1,3,8,5,7,2,6,4]=>[4,8,6,7,2,5,1,3]
[1,8,3,7,2,5,6,4]=>[6,8,3,5,7,4,1,2]
[2,8,7,1,3,5,6,4]=>[6,8,4,5,7,1,3,2]
[5,7,1,8,2,3,6,4]=>[8,5,1,6,7,3,2,4]
[7,1,8,2,3,5,6,4]=>[6,8,4,5,7,2,1,3]
[8,6,3,7,4,1,5,2]=>[8,3,6,5,2,7,4,1]
[4,2,8,6,7,5,1,3]=>[7,1,4,8,6,2,5,3]
[8,4,2,7,5,6,1,3]=>[2,7,5,8,3,6,4,1]
[4,8,3,6,1,7,5,2]=>[8,1,3,7,5,4,6,2]
[8,3,4,7,5,1,6,2]=>[8,2,3,6,5,7,4,1]
[8,3,7,4,5,1,6,2]=>[4,8,2,6,5,7,3,1]
[8,7,4,2,5,6,1,3]=>[7,4,3,5,8,6,2,1]
[8,7,5,1,6,2,3,4]=>[6,7,8,4,3,5,2,1]
[8,7,2,4,1,5,6,3]=>[6,3,4,8,5,7,2,1]
[4,8,6,1,7,2,5,3]=>[8,1,6,7,4,3,5,2]
[4,7,1,8,2,6,5,3]=>[8,1,7,5,6,3,2,4]
[4,2,8,6,7,1,5,3]=>[8,1,6,4,7,2,5,3]
[8,7,4,1,2,5,6,3]=>[6,8,4,3,5,7,2,1]
[8,2,7,1,6,3,4,5]=>[6,7,8,2,4,5,3,1]
[8,2,7,1,3,6,4,5]=>[7,8,2,4,5,6,3,1]
[2,8,3,6,7,1,5,4]=>[8,6,3,4,7,1,5,2]
[8,7,2,1,3,5,6,4]=>[3,6,8,4,5,7,2,1]
[1,8,7,2,3,6,4,5]=>[7,8,4,5,6,3,1,2]
[1,8,7,2,6,3,4,5]=>[6,7,8,4,5,3,1,2]
[8,2,7,3,6,1,4,5]=>[4,6,7,8,2,5,3,1]
[1,8,7,3,6,2,4,5]=>[4,6,7,8,5,3,1,2]
[1,8,2,7,6,3,4,5]=>[6,7,8,5,3,4,1,2]
[8,2,7,4,1,5,6,3]=>[6,4,8,2,5,7,3,1]
[8,2,1,7,5,6,3,4]=>[7,5,8,2,6,3,4,1]
[8,7,3,1,5,6,2,4]=>[3,7,5,8,4,6,2,1]
[2,8,7,3,5,6,1,4]=>[7,4,5,8,6,1,3,2]
[8,3,1,6,7,5,2,4]=>[7,2,4,8,6,3,5,1]
[8,5,2,1,6,7,4,3]=>[5,8,3,2,7,4,6,1]
[1,5,2,8,6,7,4,3]=>[2,5,8,7,6,1,3,4]
[1,2,8,6,7,5,3,4]=>[7,4,8,6,5,1,2,3]
[1,8,3,6,7,5,2,4]=>[7,4,8,3,6,5,1,2]
[8,2,3,6,7,5,1,4]=>[7,4,8,2,3,6,5,1]
[8,3,7,2,5,6,1,4]=>[7,2,4,5,8,6,3,1]
[8,1,3,7,5,6,2,4]=>[7,5,8,3,6,2,4,1]
[8,4,1,2,7,5,6,3]=>[6,2,8,7,3,4,5,1]
[8,1,4,2,6,7,5,3]=>[3,5,8,7,2,4,6,1]
[1,2,8,6,7,3,5,4]=>[8,6,4,7,5,1,2,3]
[8,1,2,7,3,6,4,5]=>[7,8,5,6,2,3,4,1]
[8,1,7,3,6,2,4,5]=>[4,6,7,8,5,2,3,1]
[8,1,7,2,6,3,4,5]=>[6,7,8,4,5,2,3,1]
[8,1,7,2,3,6,4,5]=>[7,8,4,5,6,2,3,1]
[8,1,3,7,2,5,6,4]=>[6,8,3,5,7,2,4,1]
[1,8,3,6,7,2,5,4]=>[8,6,3,4,7,5,1,2]
[1,7,8,2,3,6,5,4]=>[8,7,4,5,2,6,1,3]
[8,3,7,1,2,5,6,4]=>[2,6,8,4,5,7,3,1]
[8,7,1,2,3,6,4,5]=>[7,8,3,4,5,6,2,1]
[2,8,5,7,4,6,3,1]=>[3,5,8,7,6,1,4,2]
[3,1,8,5,7,4,2,6]=>[4,7,1,6,8,5,2,3]
[8,3,5,7,4,2,6,1]=>[3,6,2,5,8,7,4,1]
[8,3,6,2,4,5,7,1]=>[2,4,5,6,3,8,7,1]
[2,8,6,4,3,5,7,1]=>[5,4,6,3,8,1,7,2]
[2,6,8,3,5,4,7,1]=>[6,4,2,5,8,1,7,3]
[2,7,5,8,4,6,3,1]=>[3,5,2,8,7,1,6,4]
[8,4,2,7,6,1,3,5]=>[6,2,7,8,3,5,4,1]
[4,8,1,7,6,3,2,5]=>[7,1,6,8,5,3,4,2]
[4,1,7,6,2,3,5,8]=>[5,1,6,7,4,2,3,8]
[3,7,1,8,6,2,5,4]=>[8,6,7,1,5,3,2,4]
[3,1,7,6,4,5,2,8]=>[5,7,1,6,4,2,3,8]
[3,1,7,5,8,4,2,6]=>[4,7,1,6,3,8,2,5]
[3,1,6,8,7,5,2,4]=>[3,7,8,1,6,5,2,4]
[6,3,8,7,5,2,4,1]=>[6,1,8,7,2,5,4,3]
[7,3,5,8,4,2,6,1]=>[3,6,2,5,1,8,7,4]
[7,3,6,4,2,8,5,1]=>[4,8,2,5,3,1,7,6]
[7,8,3,6,2,5,4,1]=>[8,3,5,1,7,6,4,2]
[7,4,8,2,1,6,3,5]=>[4,2,7,8,5,1,6,3]
[8,7,4,6,3,2,5,1]=>[3,6,5,8,7,4,2,1]
[7,8,5,2,1,4,3,6]=>[4,7,5,6,3,1,8,2]
[7,5,2,3,1,4,8,6]=>[3,4,8,5,2,6,1,7]
[7,4,6,2,3,8,1,5]=>[4,2,5,7,3,1,8,6]
[6,4,2,5,8,3,7,1]=>[4,2,6,1,8,3,7,5]
[4,6,5,8,1,3,2,7]=>[7,1,5,3,2,6,8,4]
[4,7,1,5,3,8,2,6]=>[1,5,4,7,8,3,2,6]
[4,7,8,1,3,6,2,5]=>[1,5,7,8,4,2,6,3]
[5,7,1,3,4,6,2,8]=>[4,5,1,7,3,6,2,8]
[5,7,1,4,2,3,6,8]=>[5,6,3,1,4,7,2,8]
[5,8,1,3,2,4,6,7]=>[5,3,4,1,6,7,8,2]
[4,8,6,1,3,2,7,5]=>[1,5,8,4,6,3,7,2]
[8,4,6,2,1,3,7,5]=>[4,2,8,5,6,3,7,1]
[5,4,8,7,2,3,6,1]=>[2,1,5,6,8,7,4,3]
[5,4,8,7,3,1,2,6]=>[2,1,6,7,5,8,4,3]
[6,8,3,7,2,5,4,1]=>[8,3,1,5,7,6,4,2]
[5,4,6,8,2,3,7,1]=>[2,1,5,3,6,8,7,4]
[5,7,4,2,8,3,6,1]=>[1,6,3,8,4,2,7,5]
[6,4,7,2,1,8,3,5]=>[4,2,7,1,8,5,3,6]
[6,5,3,4,1,2,8,7]=>[3,8,5,4,2,1,6,7]
[6,8,5,4,1,3,2,7]=>[7,5,1,6,4,3,8,2]
[6,4,3,7,1,5,2,8]=>[3,2,7,5,1,6,4,8]
[7,4,2,6,1,5,3,8]=>[7,3,2,5,6,4,1,8]
[7,4,2,5,6,1,3,8]=>[6,3,2,4,7,5,1,8]
[6,4,2,8,1,5,7,3]=>[6,2,8,3,1,5,7,4]
[6,3,7,8,2,5,1,4]=>[5,7,2,1,3,8,6,4]
[7,3,5,6,4,2,1,8]=>[3,7,2,6,5,4,1,8]
[7,4,3,1,5,6,2,8]=>[5,3,2,7,4,6,1,8]
[7,4,5,2,6,1,3,8]=>[4,2,6,3,7,5,1,8]
[5,3,7,2,8,6,4,1]=>[1,8,7,2,4,3,6,5]
[5,3,8,2,6,7,4,1]=>[5,1,8,2,4,7,6,3]
[6,3,8,2,5,4,7,1]=>[6,2,4,1,5,8,7,3]
[6,4,8,2,1,5,7,3]=>[4,2,6,1,8,5,7,3]
[6,4,3,1,8,2,7,5]=>[3,2,8,6,1,7,4,5]
[5,3,7,8,2,6,4,1]=>[1,8,5,2,3,7,6,4]
[4,7,8,5,6,3,2,1]=>[4,2,8,1,7,6,5,3]
[5,3,7,6,8,2,4,1]=>[1,6,4,2,3,8,7,5]
[5,7,8,4,6,2,1,3]=>[7,1,6,4,2,8,5,3]
[5,8,4,3,6,7,1,2]=>[1,4,3,7,5,8,6,2]
[5,8,6,4,7,2,1,3]=>[7,1,6,4,3,8,5,2]
[5,3,8,6,2,7,4,1]=>[1,8,5,2,4,7,6,3]
[4,7,5,8,6,3,2,1]=>[8,3,1,2,7,6,5,4]
[4,8,6,7,5,3,2,1]=>[3,8,7,1,6,5,4,2]
[6,3,8,7,2,4,1,5]=>[5,7,2,1,6,8,4,3]
[5,3,8,7,2,6,4,1]=>[1,8,5,7,2,6,4,3]
[5,3,8,6,7,2,4,1]=>[1,6,4,8,2,7,5,3]
[5,3,7,8,6,2,4,1]=>[1,6,3,8,2,7,5,4]
[5,7,6,4,8,2,1,3]=>[7,1,6,4,3,2,8,5]
[5,8,4,6,7,2,1,3]=>[1,3,7,6,4,8,5,2]
[6,4,2,8,1,7,3,5]=>[7,2,8,3,1,5,6,4]
[6,5,2,4,3,7,8,1]=>[5,3,4,2,1,6,8,7]
[5,4,6,2,8,7,1,3]=>[2,1,7,3,8,4,6,5]
[5,6,3,8,7,2,4,1]=>[1,6,2,8,3,7,5,4]
[6,7,4,3,1,8,2,5]=>[7,4,3,1,8,5,2,6]
[5,7,4,3,6,8,1,2]=>[1,4,3,7,5,2,8,6]
[5,7,3,8,6,2,4,1]=>[1,6,8,3,2,7,5,4]
[4,5,8,6,7,3,2,1]=>[4,8,1,2,7,6,5,3]
[4,6,8,5,7,3,2,1]=>[2,4,8,1,7,6,5,3]
[5,6,8,3,7,2,4,1]=>[1,4,2,6,8,7,5,3]
[5,4,6,8,2,7,1,3]=>[2,1,5,3,7,8,6,4]
[3,6,7,8,2,5,1,4]=>[5,2,7,1,3,8,6,4]
[5,7,8,2,6,4,1,3]=>[1,7,8,4,2,6,5,3]
[3,6,8,5,7,1,4,2]=>[2,8,6,1,4,7,5,3]
[1,7,4,8,6,2,3,5]=>[3,6,7,2,8,5,1,4]
[3,6,2,5,7,8,1,4]=>[4,7,1,3,2,5,8,6]
[5,2,7,4,6,8,1,3]=>[4,1,7,5,2,3,8,6]
[7,2,4,5,8,6,1,3]=>[3,4,7,8,2,1,6,5]
[5,3,6,7,1,8,4,2]=>[3,1,8,2,7,5,4,6]
[4,2,5,6,7,1,8,3]=>[3,1,4,8,2,6,5,7]
[8,2,3,7,5,1,6,4]=>[8,6,2,3,5,7,4,1]
[7,2,6,3,5,1,8,4]=>[8,4,6,2,5,3,1,7]
[8,1,3,6,7,2,4,5]=>[6,7,3,4,8,2,5,1]
[8,1,4,2,5,6,3,7]=>[5,3,7,2,4,6,8,1]
[8,1,4,2,7,5,3,6]=>[3,7,6,8,2,4,5,1]
[6,1,3,8,2,7,4,5]=>[7,8,3,5,1,6,2,4]
[3,6,2,4,1,7,8,5]=>[1,3,4,6,2,8,5,7]
[6,2,7,3,1,5,8,4]=>[4,6,8,2,1,5,3,7]
[6,3,4,1,8,5,7,2]=>[2,3,6,1,8,7,4,5]
[7,3,4,1,5,8,6,2]=>[2,3,8,5,7,4,1,6]
[1,7,5,2,8,6,3,4]=>[7,3,8,6,4,1,2,5]
[3,7,4,1,8,5,6,2]=>[3,6,8,1,7,4,2,5]
[5,6,3,1,7,8,4,2]=>[3,1,5,2,8,7,4,6]
[3,6,4,8,1,5,7,2]=>[3,6,1,2,8,5,7,4]
[1,5,8,4,2,6,3,7]=>[2,7,5,4,6,8,1,3]
[3,5,7,4,1,6,8,2]=>[2,6,1,4,8,5,3,7]
[3,5,7,1,2,6,4,8]=>[7,1,4,2,5,6,3,8]
[4,5,1,8,2,3,7,6]=>[1,8,5,2,6,7,3,4]
[4,7,1,8,2,6,3,5]=>[1,7,8,5,6,3,2,4]
[6,3,1,8,5,2,4,7]=>[2,6,7,5,1,8,3,4]
[3,5,2,1,8,4,6,7]=>[1,3,6,2,7,8,4,5]
[7,5,1,2,3,8,6,4]=>[8,7,3,4,2,5,1,6]
[6,4,1,2,7,3,8,5]=>[8,6,3,2,4,1,5,7]
[5,2,6,1,3,4,8,7]=>[8,2,4,1,5,3,6,7]
[7,8,4,5,1,3,2,6]=>[7,5,3,6,4,1,8,2]
[6,7,1,3,2,5,4,8]=>[4,7,3,5,1,6,2,8]
[6,7,1,4,3,5,2,8]=>[5,4,7,3,1,6,2,8]
[7,8,2,3,1,5,4,6]=>[3,4,7,5,6,1,8,2]
[7,8,2,4,3,5,1,6]=>[5,3,4,7,6,1,8,2]
[7,8,2,4,1,5,3,6]=>[7,3,5,4,6,1,8,2]
[1,4,2,6,5,7,3,8]=>[2,5,4,7,1,3,6,8]
[5,6,1,4,2,7,3,8]=>[7,5,3,1,4,2,6,8]
[6,7,2,4,1,5,3,8]=>[7,3,5,4,1,6,2,8]
[6,7,2,4,3,5,1,8]=>[5,3,4,1,7,6,2,8]
[6,7,2,3,1,5,4,8]=>[3,4,7,5,1,6,2,8]
[6,7,3,5,4,8,1,2]=>[7,3,1,5,4,2,8,6]
[2,4,1,6,5,7,3,8]=>[2,5,1,4,7,3,6,8]
[1,5,2,6,4,7,3,8]=>[5,4,2,7,1,3,6,8]
[2,5,1,6,4,7,3,8]=>[5,4,1,2,7,3,6,8]
[3,6,5,7,4,8,1,2]=>[3,2,7,1,5,4,8,6]
[5,6,2,4,3,7,1,8]=>[5,3,1,4,2,7,6,8]
[4,5,2,6,1,7,3,8]=>[1,7,3,2,5,4,6,8]
[4,5,1,6,3,7,2,8]=>[1,5,4,2,7,3,6,8]
[4,5,3,6,1,7,2,8]=>[1,3,2,7,5,4,6,8]
[5,6,3,4,1,7,2,8]=>[3,1,7,5,4,2,6,8]
[5,6,1,4,3,7,2,8]=>[5,4,1,7,3,2,6,8]
[5,6,1,3,2,7,4,8]=>[4,7,3,1,5,2,6,8]
[5,6,4,7,1,3,2,8]=>[1,7,5,3,2,6,4,8]
[6,7,4,5,1,3,2,8]=>[7,5,3,1,6,4,2,8]
[6,7,5,8,1,3,2,4]=>[7,5,1,6,3,2,8,4]
[4,5,1,3,2,7,6,8]=>[4,1,7,3,2,5,6,8]
[4,6,5,7,1,3,2,8]=>[7,1,5,3,2,6,4,8]
[4,6,1,3,2,7,5,8]=>[4,1,7,3,5,2,6,8]
[1,4,3,6,2,7,5,8]=>[2,7,3,5,1,4,6,8]
[3,4,1,6,5,7,2,8]=>[1,2,5,4,7,3,6,8]
[4,5,2,3,1,7,6,8]=>[3,1,4,2,7,5,6,8]
[4,5,3,7,6,8,1,2]=>[1,2,7,3,5,4,8,6]
[4,6,5,7,3,8,1,2]=>[3,1,2,7,5,4,8,6]
[4,6,5,7,2,3,1,8]=>[5,1,3,2,7,6,4,8]
[3,5,4,6,1,7,2,8]=>[3,1,2,7,5,4,6,8]
[3,5,1,6,4,7,2,8]=>[5,1,4,2,7,3,6,8]
[1,5,3,6,4,7,2,8]=>[5,3,2,4,7,1,6,8]
[1,5,3,6,2,7,4,8]=>[7,3,2,5,1,4,6,8]
[3,5,2,6,1,7,4,8]=>[7,1,3,2,5,4,6,8]
[3,5,2,6,4,7,1,8]=>[5,1,3,2,4,7,6,8]
[3,4,2,6,1,7,5,8]=>[1,2,7,3,5,4,6,8]
[4,6,2,3,1,7,5,8]=>[3,1,4,7,5,2,6,8]
[2,4,3,6,1,7,5,8]=>[2,7,1,3,5,4,6,8]
[2,5,3,6,4,7,1,8]=>[5,3,1,2,4,7,6,8]
[2,5,3,6,1,7,4,8]=>[7,3,1,2,5,4,6,8]
[4,6,2,7,3,5,8,1]=>[1,5,6,3,2,4,8,7]
[3,6,2,7,5,4,8,1]=>[6,5,1,3,2,4,8,7]
[4,6,1,7,3,8,2,5]=>[1,5,7,4,2,8,3,6]
[2,4,7,1,3,8,6,5]=>[8,2,7,1,4,5,3,6]
[5,2,6,7,4,3,8,1]=>[3,1,6,5,2,4,8,7]
[3,5,2,7,6,4,8,1]=>[2,6,1,5,3,4,8,7]
[1,5,7,4,3,8,2,6]=>[2,5,4,7,3,8,1,6]
[2,5,7,3,1,8,6,4]=>[2,8,4,7,1,5,3,6]
[1,5,7,2,8,3,6,4]=>[2,8,6,7,4,1,3,5]
[2,5,7,3,1,8,4,6]=>[4,2,7,8,1,5,3,6]
[1,5,7,3,4,8,2,6]=>[4,2,5,7,3,8,1,6]
[5,2,6,7,1,8,4,3]=>[3,1,8,7,2,5,4,6]
[1,3,7,2,8,5,6,4]=>[6,8,7,2,4,1,3,5]
[2,3,1,5,8,4,7,6]=>[8,1,2,4,6,7,3,5]
[2,1,5,6,8,4,3,7]=>[3,4,7,1,6,8,2,5]
[2,3,1,5,8,6,4,7]=>[7,1,2,4,6,8,3,5]
[2,4,7,3,1,8,5,6]=>[2,4,7,8,1,5,3,6]
[1,3,7,2,8,5,4,6]=>[7,6,8,2,4,1,3,5]
[2,3,1,6,8,5,4,7]=>[4,7,1,2,6,8,3,5]
[4,6,2,7,1,8,3,5]=>[1,7,8,3,2,5,4,6]
[1,5,4,3,6,8,2,7]=>[4,3,2,5,7,8,1,6]
[1,6,4,5,7,8,3,2]=>[3,4,2,5,8,7,1,6]
[2,5,1,7,8,6,3,4]=>[2,7,4,8,1,6,3,5]
[1,3,6,2,8,7,4,5]=>[7,3,8,2,6,1,4,5]
[2,1,5,6,8,4,7,3]=>[3,4,6,8,1,7,2,5]
[2,4,1,7,8,5,6,3]=>[6,2,4,8,1,7,3,5]
[1,3,6,2,8,4,7,5]=>[8,6,2,3,7,1,4,5]
[2,1,5,6,8,7,3,4]=>[3,4,7,8,1,6,2,5]
[3,6,5,2,7,8,4,1]=>[5,3,1,2,8,4,7,6]
[6,2,4,7,5,8,3,1]=>[5,3,4,1,8,2,7,6]
[1,5,7,8,4,2,6,3]=>[8,2,6,5,3,7,1,4]
[3,7,4,1,8,6,2,5]=>[3,7,8,1,6,4,2,5]
[3,4,6,8,5,7,2,1]=>[3,5,8,1,2,7,6,4]
[4,2,5,7,3,1,8,6]=>[3,1,5,8,2,6,4,7]
[4,5,6,2,8,7,3,1]=>[1,2,3,8,7,4,6,5]
[2,5,6,8,1,7,4,3]=>[2,3,8,7,1,5,6,4]
[4,5,6,1,8,7,3,2]=>[1,2,3,8,7,6,4,5]
[4,5,6,3,1,8,7,2]=>[1,2,4,3,8,7,5,6]
[4,3,6,2,1,7,5,8]=>[2,1,4,7,5,3,6,8]
[4,6,3,2,1,7,5,8]=>[1,4,3,7,5,2,6,8]
[4,6,3,1,7,5,2,8]=>[1,3,7,6,4,2,5,8]
[4,5,3,7,6,1,8,2]=>[1,2,8,3,6,5,4,7]
[4,5,1,7,3,8,6,2]=>[1,2,8,5,4,7,3,6]
[2,5,7,1,4,3,8,6]=>[5,2,8,1,4,6,3,7]
[4,3,5,7,6,1,8,2]=>[1,8,2,3,6,5,4,7]
[4,3,6,1,7,5,2,8]=>[1,7,2,6,4,3,5,8]
[4,3,2,6,1,7,5,8]=>[2,1,7,3,5,4,6,8]
[5,3,2,1,6,4,7,8]=>[3,2,6,4,1,5,7,8]
[5,3,1,6,2,7,4,8]=>[2,7,5,3,1,4,6,8]
[5,1,6,3,2,7,4,8]=>[4,7,5,2,1,3,6,8]
[2,6,1,4,7,5,3,8]=>[7,4,6,1,3,2,5,8]
[3,6,1,7,4,2,5,8]=>[6,1,5,7,3,2,4,8]
[4,6,1,7,5,3,2,8]=>[7,1,6,5,3,2,4,8]
[5,1,6,3,7,4,2,8]=>[7,4,3,1,6,2,5,8]
[5,3,6,4,2,1,7,8]=>[6,2,1,5,4,3,7,8]
[5,3,2,6,4,1,7,8]=>[2,6,3,1,5,4,7,8]
[5,2,1,6,3,7,4,8]=>[7,2,5,3,1,4,6,8]
[5,2,6,3,1,7,4,8]=>[4,7,2,1,5,3,6,8]
[4,2,6,3,1,7,8,5]=>[4,1,6,2,3,8,5,7]
[3,6,2,1,7,4,5,8]=>[1,3,6,7,4,2,5,8]
[3,6,2,7,4,1,5,8]=>[6,1,3,5,2,7,4,8]
[3,5,7,2,8,6,4,1]=>[8,2,7,1,4,3,6,5]
[2,4,7,1,3,6,5,8]=>[2,7,1,4,5,6,3,8]
[2,6,1,3,7,5,4,8]=>[7,6,1,3,4,2,5,8]
[3,6,1,7,5,2,4,8]=>[6,7,1,5,3,2,4,8]
[5,1,6,2,7,4,3,8]=>[7,6,4,2,1,3,5,8]
[5,2,6,4,3,1,7,8]=>[6,5,2,1,4,3,7,8]
[5,2,1,6,4,3,7,8]=>[6,2,5,3,1,4,7,8]
[5,4,2,1,6,3,7,8]=>[3,6,4,2,1,5,7,8]
[5,4,2,6,3,1,7,8]=>[6,3,2,1,5,4,7,8]
[5,4,1,6,2,7,3,8]=>[7,5,3,2,1,4,6,8]
[5,1,6,4,2,7,3,8]=>[7,5,4,2,1,3,6,8]
[3,6,1,7,5,4,8,2]=>[6,5,1,4,2,8,3,7]
[2,6,1,5,4,3,7,8]=>[6,5,1,3,4,2,7,8]
[3,1,6,2,5,4,7,8]=>[1,6,4,5,2,3,7,8]
[5,1,6,4,3,2,7,8]=>[6,5,4,2,1,3,7,8]
[5,4,1,6,3,2,7,8]=>[6,5,3,2,1,4,7,8]
[5,4,3,1,6,2,7,8]=>[6,4,3,2,1,5,7,8]
[7,3,1,6,5,4,8,2]=>[6,2,5,4,8,3,1,7]
[7,2,8,1,5,4,3,6]=>[7,6,2,4,5,1,8,3]
[4,2,7,6,5,8,1,3]=>[7,1,5,4,2,3,8,6]
[3,8,2,6,5,4,1,7]=>[7,6,1,3,5,4,8,2]
[7,3,2,1,5,4,6,8]=>[3,2,6,4,5,7,1,8]
[7,2,8,6,1,4,3,5]=>[7,5,6,8,2,1,4,3]
[5,2,7,6,8,4,1,3]=>[1,7,4,3,8,2,6,5]
[3,8,7,2,5,4,1,6]=>[7,4,6,1,5,8,3,2]
[7,5,1,6,8,4,3,2]=>[4,2,8,7,6,3,1,5]
[7,4,2,1,5,6,3,8]=>[3,5,2,7,4,6,1,8]
[7,2,8,6,5,1,3,4]=>[6,7,8,5,2,1,4,3]
[5,3,2,6,7,4,1,8]=>[2,4,1,7,3,6,5,8]
[4,3,7,2,5,6,1,8]=>[2,1,4,5,7,6,3,8]
[6,7,1,4,3,2,5,8]=>[6,5,3,4,1,7,2,8]
[3,4,2,6,7,1,5,8]=>[1,2,6,3,4,7,5,8]
[3,7,1,6,5,2,4,8]=>[6,7,1,5,3,4,2,8]
[3,5,6,2,4,7,1,8]=>[4,1,2,5,3,7,6,8]
[3,5,8,7,2,4,6,1]=>[2,5,6,8,1,7,4,3]
[1,7,8,2,5,4,3,6]=>[7,6,4,5,2,8,1,3]
[8,7,2,5,4,3,6,1]=>[6,5,3,4,8,7,2,1]
[2,5,6,4,7,1,3,8]=>[2,6,4,1,3,7,5,8]
[4,7,1,6,3,5,2,8]=>[1,5,7,6,3,4,2,8]
[4,5,3,8,7,2,6,1]=>[1,2,6,8,3,7,5,4]
[1,4,5,3,7,8,2,6]=>[2,3,7,4,5,8,1,6]
[1,4,8,2,7,6,3,5]=>[7,8,2,6,4,5,1,3]
[4,7,3,5,1,8,6,2]=>[1,3,4,8,7,5,2,6]
[8,7,3,6,1,5,4,2]=>[8,3,7,5,6,4,2,1]
[2,5,8,7,4,6,1,3]=>[7,2,5,8,6,1,4,3]
[5,4,2,1,7,8,3,6]=>[7,3,2,1,5,8,4,6]
[4,7,8,3,5,2,1,6]=>[4,7,1,6,5,2,8,3]
[4,7,6,2,1,8,3,5]=>[1,4,7,8,5,3,2,6]
[1,4,6,7,3,5,8,2]=>[5,2,3,6,4,8,1,7]
[8,3,6,2,1,7,5,4]=>[8,2,4,7,5,3,6,1]
[8,3,7,6,4,2,1,5]=>[7,6,2,5,8,4,3,1]
[2,3,1,8,4,7,6,5]=>[8,7,1,2,5,6,3,4]
[2,7,4,8,6,5,1,3]=>[7,8,3,2,6,1,5,4]
[8,6,5,1,4,7,3,2]=>[5,8,7,4,3,2,6,1]
[8,5,4,1,7,3,6,2]=>[6,3,2,8,7,4,5,1]
[6,3,7,2,8,5,4,1]=>[8,7,2,1,4,3,6,5]
[1,6,3,8,2,7,5,4]=>[8,7,3,2,5,6,1,4]
[1,7,5,3,8,2,6,4]=>[8,4,3,6,2,7,1,5]
[6,2,7,4,1,8,5,3]=>[4,8,7,2,1,5,3,6]
[8,6,3,2,7,5,1,4]=>[3,7,8,4,2,6,5,1]
[2,7,5,1,3,8,6,4]=>[8,7,4,1,3,5,2,6]
[1,7,6,4,3,8,2,5]=>[5,4,7,3,2,8,1,6]
[3,7,2,4,8,6,5,1]=>[8,7,1,3,4,2,6,5]
[3,4,2,8,7,6,1,5]=>[7,8,1,2,6,3,5,4]
[5,1,4,3,2,7,8,6]=>[4,3,6,1,8,2,5,7]
[3,7,8,5,2,4,1,6]=>[5,7,6,1,4,2,8,3]
[3,7,6,2,4,1,8,5]=>[4,5,8,1,6,3,2,7]
[1,6,8,2,5,7,4,3]=>[5,2,8,7,4,6,1,3]
[6,7,2,5,8,4,3,1]=>[4,1,8,7,3,2,6,5]
[5,2,7,8,4,3,1,6]=>[1,7,6,5,2,3,8,4]
[5,3,1,7,8,4,2,6]=>[7,2,1,6,4,8,3,5]
[2,7,6,4,1,3,8,5]=>[8,5,4,6,1,3,2,7]
[4,1,7,6,3,2,8,5]=>[1,5,8,6,4,2,3,7]
[8,4,2,7,6,3,1,5]=>[2,7,6,8,3,5,4,1]
[6,3,1,7,5,2,8,4]=>[8,2,6,5,3,1,4,7]
[6,2,7,5,3,1,8,4]=>[5,8,6,2,1,4,3,7]
[1,5,8,2,7,4,6,3]=>[2,6,8,7,4,5,1,3]
[5,7,2,8,4,6,3,1]=>[1,5,8,7,3,2,6,4]
[5,7,3,1,8,4,6,2]=>[3,1,6,8,7,4,2,5]
[8,4,7,3,1,6,5,2]=>[2,4,8,7,5,6,3,1]
[2,6,8,5,7,4,1,3]=>[2,7,4,8,6,1,5,3]
[6,5,2,1,7,4,8,3]=>[6,3,5,2,1,8,4,7]
[5,7,4,6,2,1,8,3]=>[1,5,3,8,6,4,2,7]
[5,6,4,8,3,7,2,1]=>[1,3,2,5,8,7,6,4]
[6,7,1,8,3,4,2,5]=>[5,7,6,1,8,3,2,4]
[7,8,3,5,1,4,2,6]=>[3,7,5,6,4,1,8,2]
[5,6,2,7,1,8,3,4]=>[7,1,8,3,2,5,4,6]
[6,7,2,4,3,8,1,5]=>[5,3,4,1,7,2,8,6]
[2,4,3,8,6,7,1,5]=>[7,2,5,8,1,3,6,4]
[1,8,2,7,4,5,3,6]=>[5,7,6,8,3,4,1,2]
[2,5,4,8,3,6,1,7]=>[3,2,5,7,1,6,8,4]
[2,3,1,8,5,6,4,7]=>[5,7,1,2,6,8,3,4]
[3,8,5,6,4,7,1,2]=>[3,7,5,1,4,8,6,2]
[5,7,3,6,4,8,1,2]=>[1,7,3,5,4,2,8,6]
[5,7,2,3,1,6,4,8]=>[3,4,1,7,5,6,2,8]
[5,7,2,4,3,6,1,8]=>[5,3,1,4,7,6,2,8]
[4,6,2,7,1,5,3,8]=>[1,7,3,5,2,6,4,8]
[4,7,1,6,2,5,3,8]=>[1,7,5,6,3,4,2,8]
[4,7,1,5,3,6,2,8]=>[1,5,4,7,3,6,2,8]
[4,6,3,5,1,7,2,8]=>[1,3,7,5,4,2,6,8]
[6,7,3,5,1,4,2,8]=>[3,7,5,1,6,4,2,8]
[5,6,3,7,1,4,2,8]=>[3,1,7,5,2,6,4,8]
[5,7,1,6,3,4,2,8]=>[5,1,7,6,3,4,2,8]
[1,8,5,6,3,4,2,7]=>[5,3,7,6,4,8,1,2]
[1,8,5,6,4,7,2,3]=>[3,7,5,4,8,6,1,2]
[5,7,1,6,4,8,2,3]=>[1,7,5,4,8,3,2,6]
[4,6,5,8,1,7,2,3]=>[7,1,3,2,8,5,6,4]
[3,7,1,4,2,8,5,6]=>[1,4,7,8,3,5,2,6]
[3,5,1,4,2,8,6,7]=>[1,4,7,2,8,3,5,6]
[4,6,5,8,3,7,1,2]=>[3,1,2,7,5,8,6,4]
[4,6,5,8,2,3,1,7]=>[5,1,3,2,7,6,8,4]
[3,4,2,6,5,8,1,7]=>[1,2,5,3,4,7,8,6]
[3,5,4,6,2,8,1,7]=>[3,1,2,5,4,7,8,6]
[1,8,3,5,4,7,2,6]=>[5,3,4,7,8,6,1,2]
[3,4,2,7,1,8,5,6]=>[1,2,7,8,3,5,4,6]
[4,7,2,3,1,8,5,6]=>[3,1,4,7,8,5,2,6]
[2,4,3,8,1,7,5,6]=>[2,7,8,1,3,5,6,4]
[2,5,3,8,4,7,1,6]=>[5,2,7,8,1,3,6,4]
[2,6,3,8,1,7,4,5]=>[7,8,3,1,2,5,6,4]
[2,7,1,8,3,6,4,5]=>[7,8,5,6,1,3,2,4]
[1,2,8,7,4,6,3,5]=>[5,7,8,6,4,1,2,3]
[3,7,4,8,6,1,5,2]=>[8,3,6,1,2,7,5,4]
[4,5,1,8,7,6,2,3]=>[1,2,7,8,6,5,3,4]
[1,5,2,8,7,6,3,4]=>[2,7,8,6,5,1,3,4]
[5,1,2,8,7,6,3,4]=>[7,1,8,6,5,2,3,4]
[4,1,5,8,7,6,2,3]=>[1,7,8,3,6,5,2,4]
[2,3,6,8,7,4,5,1]=>[3,6,8,7,1,2,5,4]
[2,3,7,8,6,4,5,1]=>[6,3,8,7,1,2,5,4]
[4,5,7,8,2,6,3,1]=>[8,1,2,5,3,7,6,4]
[4,5,6,8,2,7,3,1]=>[1,2,3,8,5,7,6,4]
[5,2,6,8,3,7,4,1]=>[3,1,8,5,7,2,6,4]
[3,1,6,8,7,4,5,2]=>[3,6,8,1,7,5,2,4]
[6,1,4,8,7,2,5,3]=>[8,3,6,1,7,5,2,4]
[6,1,8,4,7,3,5,2]=>[4,6,1,8,7,5,2,3]
[5,8,3,4,7,1,6,2]=>[3,1,4,8,6,7,5,2]
[6,8,3,5,7,1,4,2]=>[8,3,1,6,4,7,5,2]
[3,1,7,8,6,4,5,2]=>[6,3,8,1,7,5,2,4]
[5,2,7,8,3,6,4,1]=>[1,8,5,3,7,2,6,4]
[4,6,7,8,2,5,3,1]=>[2,8,1,5,3,7,6,4]
[7,4,5,2,8,6,3,1]=>[2,3,8,7,4,1,6,5]
[7,5,8,4,2,6,3,1]=>[2,8,5,4,1,7,6,3]
[6,8,4,5,2,7,3,1]=>[3,1,8,5,4,7,6,2]
[6,8,2,5,3,7,4,1]=>[8,5,3,1,4,7,6,2]
[6,3,8,4,2,7,5,1]=>[4,8,2,1,5,7,6,3]
[7,2,5,3,8,6,4,1]=>[3,8,7,2,4,1,6,5]
[3,4,7,5,8,6,2,1]=>[8,4,1,2,3,7,6,5]
[3,6,7,4,8,5,2,1]=>[2,8,4,1,3,7,6,5]
[6,7,4,2,8,5,3,1]=>[3,1,8,7,4,2,6,5]
[4,7,5,2,8,6,3,1]=>[3,8,1,7,4,2,6,5]
[2,7,5,3,8,6,4,1]=>[3,8,7,4,1,2,6,5]
[5,6,2,8,3,7,4,1]=>[1,8,5,2,7,3,6,4]
[5,7,8,3,2,6,4,1]=>[1,4,8,5,2,7,6,3]
[5,6,8,3,2,7,4,1]=>[1,4,2,8,5,7,6,3]
[3,6,8,4,2,7,5,1]=>[4,2,8,1,5,7,6,3]
[1,5,8,2,7,3,6,4]=>[2,8,6,7,4,5,1,3]
[5,8,4,7,2,3,6,1]=>[1,5,3,6,8,7,4,2]
[5,6,8,1,3,7,4,2]=>[1,8,5,2,7,4,6,3]
[6,7,4,8,1,5,3,2]=>[3,1,8,7,5,2,6,4]
[5,7,2,8,3,6,4,1]=>[1,8,5,7,3,2,6,4]
[1,7,4,8,6,2,5,3]=>[8,3,6,2,7,5,1,4]
[7,4,2,8,6,1,5,3]=>[2,8,6,7,3,1,5,4]
[6,8,5,3,7,2,4,1]=>[4,1,6,3,8,7,5,2]
[6,8,5,2,3,7,4,1]=>[8,4,1,5,3,7,6,2]
[7,5,3,8,2,6,4,1]=>[8,3,2,5,1,7,6,4]
[7,5,2,3,8,6,4,1]=>[8,7,3,2,4,1,6,5]
[3,7,4,5,8,6,2,1]=>[8,3,4,1,2,7,6,5]
[6,7,3,4,8,5,2,1]=>[8,3,1,4,2,7,6,5]
[3,6,4,7,8,5,2,1]=>[4,2,8,1,3,7,6,5]
[6,4,2,7,8,5,3,1]=>[2,4,1,8,7,3,6,5]
[7,4,2,5,8,6,3,1]=>[2,8,4,7,3,1,6,5]
[6,1,8,3,4,7,5,2]=>[8,4,5,1,7,6,2,3]
[6,8,4,2,5,7,3,1]=>[5,3,1,8,4,7,6,2]
[7,5,8,3,4,6,2,1]=>[4,2,5,1,8,7,6,3]
[7,4,5,8,1,6,3,2]=>[2,3,8,7,5,1,6,4]
[6,3,4,7,8,5,2,1]=>[4,8,2,1,3,7,6,5]
[6,1,7,3,4,5,8,2]=>[4,5,6,3,1,8,2,7]
[5,7,2,3,4,1,8,6]=>[3,4,1,5,8,6,2,7]
[2,7,1,8,4,5,6,3]=>[5,6,8,7,1,3,2,4]
[2,6,8,3,4,5,1,7]=>[4,5,2,7,1,6,8,3]
[6,1,2,7,4,5,8,3]=>[5,6,4,8,2,1,3,7]
[4,7,2,3,1,5,8,6]=>[3,1,4,8,5,6,2,7]
[2,7,1,3,8,5,6,4]=>[6,8,7,1,3,4,2,5]
[2,6,7,8,4,5,3,1]=>[2,5,3,8,7,1,6,4]
[2,5,8,3,4,1,6,7]=>[4,2,6,1,5,7,8,3]
[5,6,2,7,4,3,8,1]=>[1,6,5,3,2,4,8,7]
[4,6,7,3,2,5,8,1]=>[5,1,4,2,6,3,8,7]
[2,6,7,3,8,5,4,1]=>[2,8,7,4,1,3,6,5]
[2,6,1,8,4,5,3,7]=>[5,7,6,1,2,8,3,4]
[2,5,7,8,4,3,6,1]=>[6,2,5,3,8,1,7,4]
[3,6,8,4,5,7,1,2]=>[4,2,7,1,5,8,6,3]
[1,6,8,4,7,2,3,5]=>[6,4,2,7,8,5,1,3]
[1,4,5,7,8,2,6,3]=>[8,2,3,6,4,7,1,5]
[3,4,5,7,8,6,1,2]=>[7,1,2,3,4,8,6,5]
[3,4,5,7,6,8,1,2]=>[7,1,2,3,5,4,8,6]
[3,6,7,4,8,5,1,2]=>[4,2,7,1,3,8,6,5]
[3,4,5,6,8,7,1,2]=>[1,2,3,4,7,8,6,5]
[1,4,5,8,7,2,3,6]=>[2,3,6,7,8,5,1,4]
[1,2,5,8,3,6,4,7]=>[3,7,5,6,8,1,2,4]
[1,4,5,8,6,2,3,7]=>[2,3,6,7,5,8,1,4]
[7,8,1,4,6,2,3,5]=>[6,4,7,8,3,1,5,2]
[1,6,7,4,8,2,5,3]=>[4,2,8,6,3,7,1,5]
[1,4,5,6,8,2,7,3]=>[2,3,4,8,6,7,1,5]
[1,4,5,8,6,2,7,3]=>[8,2,3,6,5,7,1,4]
[1,2,5,8,3,4,7,6]=>[3,8,5,6,7,1,2,4]
[1,6,7,2,3,5,8,4]=>[6,8,4,2,5,1,3,7]
[7,8,1,2,3,5,4,6]=>[7,3,4,5,6,1,8,2]
[1,6,7,2,3,5,4,8]=>[7,4,5,2,6,1,3,8]
[1,4,5,7,6,2,3,8]=>[2,3,6,7,5,1,4,8]
[1,2,5,7,3,6,4,8]=>[3,7,5,6,1,2,4,8]
[1,2,5,7,3,6,8,4]=>[3,6,8,5,1,2,4,7]
[1,6,8,2,3,5,7,4]=>[6,8,4,2,5,7,1,3]
[1,6,8,4,5,2,3,7]=>[6,4,2,7,5,8,1,3]
[1,6,8,4,5,2,7,3]=>[4,2,8,6,5,7,1,3]
[1,6,8,2,3,4,7,5]=>[8,4,5,2,6,7,1,3]
[1,6,8,2,3,7,4,5]=>[7,8,4,2,5,6,1,3]
[1,4,5,7,6,2,8,3]=>[8,2,3,6,5,1,4,7]
[7,8,1,4,5,2,6,3]=>[4,8,6,3,5,1,7,2]
[7,8,1,2,3,4,6,5]=>[8,3,4,5,6,1,7,2]
[7,8,1,2,3,6,4,5]=>[7,8,3,4,5,1,6,2]
[1,6,7,2,3,8,5,4]=>[8,7,4,2,5,1,3,6]
[1,2,5,6,3,8,7,4]=>[3,4,8,7,1,2,5,6]
[4,2,1,6,5,3,8,7]=>[5,2,1,4,8,3,6,7]
[8,2,4,3,1,6,5,7]=>[4,2,3,7,5,6,8,1]
[6,2,4,3,1,8,7,5]=>[3,8,2,4,1,7,5,6]
[4,2,6,3,5,1,8,7]=>[4,1,5,2,3,8,6,7]
[4,6,2,1,5,8,7,3]=>[1,8,3,5,2,7,4,6]
[4,6,5,2,1,8,7,3]=>[8,1,4,3,2,7,5,6]
[2,1,6,4,3,8,7,5]=>[8,4,1,3,7,2,5,6]
[4,8,2,1,6,7,3,5]=>[1,7,3,5,8,4,6,2]
[6,8,2,1,4,3,7,5]=>[3,5,8,4,1,6,7,2]
[8,6,2,4,3,1,5,7]=>[6,3,5,4,7,2,8,1]
[6,8,2,4,3,1,7,5]=>[5,3,4,1,8,6,7,2]
[6,8,7,2,4,3,1,5]=>[7,4,1,6,5,8,3,2]
[2,1,8,4,6,5,3,7]=>[7,4,6,1,5,8,2,3]
[2,1,6,4,8,5,7,3]=>[6,3,8,1,4,7,2,5]
[4,6,5,2,8,3,7,1]=>[6,1,3,2,8,4,7,5]
[2,6,4,5,8,3,7,1]=>[3,4,2,6,8,1,7,5]
[6,4,2,8,3,5,7,1]=>[5,2,6,1,8,3,7,4]
[8,4,2,6,3,5,1,7]=>[5,2,7,3,6,4,8,1]
[6,2,4,8,5,3,7,1]=>[6,3,5,1,8,2,7,4]
[4,2,6,3,5,8,7,1]=>[1,8,4,2,3,5,7,6]
[4,2,6,3,8,7,5,1]=>[1,3,8,7,2,4,6,5]
[6,2,4,3,8,5,7,1]=>[3,6,8,2,1,4,7,5]
[8,2,4,3,6,5,1,7]=>[3,7,2,4,6,5,8,1]
[8,2,1,4,6,5,3,7]=>[7,2,4,6,3,5,8,1]
[6,2,1,4,8,5,7,3]=>[6,8,2,4,1,7,3,5]
[6,2,1,8,7,4,3,5]=>[7,6,8,2,1,5,3,4]
[6,2,1,8,4,3,7,5]=>[5,8,2,6,1,7,3,4]
[8,4,6,5,2,1,3,7]=>[2,6,5,7,4,3,8,1]
[6,4,8,5,2,1,7,3]=>[2,5,1,8,6,4,7,3]
[6,4,8,5,7,2,1,3]=>[7,2,1,6,4,8,5,3]
[4,6,8,7,5,2,1,3]=>[2,7,1,6,8,5,4,3]
[2,1,4,8,6,7,3,5]=>[7,5,8,1,3,6,2,4]
[2,6,8,7,4,5,1,3]=>[2,7,5,8,6,1,4,3]
[2,4,8,6,7,5,1,3]=>[7,4,8,2,6,1,5,3]
[4,2,8,6,5,7,1,3]=>[7,1,5,4,8,2,6,3]
[8,2,6,4,5,1,3,7]=>[6,4,7,2,5,3,8,1]
[8,4,6,2,1,5,3,7]=>[4,2,7,5,6,3,8,1]
[4,6,8,7,2,1,5,3]=>[5,1,2,8,6,7,4,3]
[4,6,5,8,2,1,7,3]=>[5,1,3,2,8,6,7,4]
[2,1,6,8,4,3,7,5]=>[5,3,8,1,6,7,2,4]
[6,8,7,4,2,1,3,5]=>[6,5,1,7,4,8,3,2]
[2,8,6,4,7,1,3,5]=>[6,4,7,3,8,1,5,2]
[4,8,6,2,1,7,3,5]=>[1,4,7,8,5,3,6,2]
[2,8,5,3,1,4,6,7]=>[5,4,6,1,3,7,8,2]
[2,7,4,8,3,5,1,6]=>[3,5,7,6,1,2,8,4]
[2,7,4,8,3,5,6,1]=>[3,5,6,2,8,1,7,4]
[7,2,8,4,3,5,1,6]=>[5,4,7,2,6,1,8,3]
[8,4,2,1,5,3,6,7]=>[3,6,4,2,5,7,8,1]
[8,5,1,4,2,3,6,7]=>[5,6,3,4,2,7,8,1]
[8,4,1,5,3,2,6,7]=>[6,5,3,2,4,7,8,1]
[6,7,3,8,4,2,5,1]=>[6,3,1,5,2,8,7,4]
[6,7,3,8,4,2,1,5]=>[7,3,1,6,5,2,8,4]
[7,1,8,4,3,5,2,6]=>[5,4,7,6,8,2,1,3]
[1,7,8,4,3,5,2,6]=>[5,4,7,6,2,8,1,3]
[7,1,4,8,3,5,2,6]=>[3,5,7,6,8,2,1,4]
[7,4,8,1,5,6,2,3]=>[2,7,5,8,4,1,6,3]
[7,1,8,4,3,5,6,2]=>[5,4,6,8,7,2,1,3]
[6,7,3,1,8,4,5,2]=>[3,6,1,8,7,4,2,5]
[6,7,3,8,4,5,2,1]=>[5,1,8,3,2,7,6,4]
[6,7,1,4,8,3,5,2]=>[4,6,1,8,7,3,2,5]
[6,7,4,1,3,8,2,5]=>[5,7,3,1,8,4,2,6]
[1,6,7,8,4,3,2,5]=>[2,7,6,5,3,8,1,4]
[7,2,1,8,4,5,3,6]=>[5,7,2,6,8,3,1,4]
[6,2,7,1,8,4,3,5]=>[7,6,8,2,1,4,3,5]
[6,2,7,8,4,3,1,5]=>[7,6,5,2,1,3,8,4]
[6,2,7,8,4,3,5,1]=>[6,5,3,1,8,2,7,4]
[2,6,7,4,8,3,5,1]=>[4,2,6,3,8,1,7,5]
[2,6,7,4,8,3,1,5]=>[4,2,7,6,1,3,8,5]
[7,8,1,3,6,2,4,5]=>[4,6,7,8,3,1,5,2]
[1,2,7,8,6,3,4,5]=>[6,7,3,8,5,1,2,4]
[2,6,7,1,8,5,3,4]=>[7,2,8,6,1,4,3,5]
[2,6,7,8,5,3,1,4]=>[2,7,6,3,8,1,5,4]
[2,6,7,8,5,3,4,1]=>[2,6,3,8,7,1,5,4]
[6,2,7,8,4,5,3,1]=>[5,3,1,8,7,2,6,4]
[7,2,1,8,4,5,6,3]=>[5,6,8,2,7,3,1,4]
[1,7,2,8,4,5,6,3]=>[5,6,8,7,3,1,2,4]
[3,7,8,1,5,6,2,4]=>[7,5,8,1,4,2,6,3]
[6,3,7,8,1,5,2,4]=>[7,8,2,1,5,3,6,4]
[6,7,1,2,8,5,3,4]=>[7,8,6,3,1,4,2,5]
[1,6,7,8,4,2,5,3]=>[2,8,6,5,3,7,1,4]
[3,1,2,7,6,5,8,4]=>[6,1,5,4,8,2,3,7]
[6,1,2,4,7,3,8,5]=>[8,4,6,2,3,1,5,7]
[1,7,5,3,6,4,8,2]=>[6,4,3,5,2,8,1,7]
[5,1,2,6,7,4,8,3]=>[4,6,5,1,8,2,3,7]
[4,1,5,7,3,2,6,8]=>[3,1,6,5,7,2,4,8]
[4,6,1,7,3,2,5,8]=>[1,6,5,7,3,2,4,8]
[4,6,1,8,3,2,5,7]=>[1,6,5,7,2,8,3,4]
[4,7,1,8,3,5,2,6]=>[1,5,7,6,8,3,2,4]
[4,1,7,8,6,2,3,5]=>[1,6,7,3,8,5,2,4]
[1,6,5,7,8,3,4,2]=>[3,2,6,4,8,7,1,5]
[1,6,5,8,7,3,4,2]=>[3,2,6,8,7,5,1,4]
[4,1,8,7,6,2,3,5]=>[1,6,7,8,5,4,2,3]
[4,8,1,7,3,5,2,6]=>[1,5,7,6,8,3,4,2]
[4,8,1,6,3,2,5,7]=>[1,6,5,7,3,4,8,2]
[4,7,1,6,3,2,5,8]=>[1,6,5,7,3,4,2,8]
[6,1,2,3,7,5,4,8]=>[7,6,2,3,4,1,5,8]
[6,8,1,5,3,7,2,4]=>[5,7,4,1,8,3,6,2]
[8,7,5,2,4,1,6,3]=>[8,4,6,5,3,7,2,1]
[1,5,7,3,4,8,6,2]=>[2,8,4,5,3,7,1,6]
[1,5,8,3,4,7,6,2]=>[2,8,4,5,7,6,1,3]
[7,8,5,2,4,1,6,3]=>[8,4,6,5,3,1,7,2]
[7,1,2,3,5,6,4,8]=>[5,7,2,3,4,6,1,8]
[8,1,2,3,5,6,4,7]=>[5,7,2,3,4,6,8,1]
[8,1,2,3,5,4,7,6]=>[5,8,2,3,4,6,7,1]
[7,1,8,4,6,3,2,5]=>[4,7,6,8,5,2,1,3]
[6,8,2,4,3,1,5,7]=>[6,3,5,4,1,7,8,2]
[6,7,2,4,3,1,5,8]=>[6,3,5,4,1,7,2,8]
[3,8,1,2,4,5,7,6]=>[1,8,3,4,5,6,7,2]
[3,7,1,8,6,4,2,5]=>[7,6,8,1,5,3,2,4]
[1,6,4,3,7,5,8,2]=>[3,6,4,2,5,8,1,7]
[3,1,2,6,7,5,8,4]=>[1,4,6,5,8,2,3,7]
[3,8,1,7,6,4,2,5]=>[7,6,8,1,5,3,4,2]
[7,6,2,4,3,1,5,8]=>[6,3,5,4,7,2,1,8]
[8,7,2,4,3,5,1,6]=>[5,3,4,7,6,8,2,1]
[8,1,7,4,6,3,2,5]=>[4,7,6,8,5,2,3,1]
[8,1,7,6,5,3,2,4]=>[7,6,8,5,4,2,3,1]
[1,5,7,3,4,6,8,2]=>[4,2,5,6,3,8,1,7]
[8,7,2,5,3,6,1,4]=>[5,7,3,4,8,6,2,1]
[7,1,2,3,5,4,8,6]=>[5,8,2,3,4,6,1,7]
[6,1,2,3,5,8,4,7]=>[5,7,8,2,3,1,4,6]
[6,1,2,3,5,7,4,8]=>[5,7,2,3,4,1,6,8]
[5,1,2,3,7,6,4,8]=>[7,6,2,3,1,4,5,8]
[5,1,2,3,8,6,4,7]=>[7,6,8,2,1,3,4,5]
[1,5,6,3,4,7,8,2]=>[4,2,5,3,6,8,1,7]
[8,6,5,2,4,7,1,3]=>[7,4,5,3,2,8,6,1]
[7,6,2,5,3,1,8,4]=>[5,8,3,6,4,2,1,7]
[7,4,5,2,3,8,6,1]=>[2,8,4,3,5,1,7,6]
[8,2,3,7,4,5,1,6]=>[5,7,2,3,6,8,4,1]
[8,4,7,3,2,5,1,6]=>[2,5,4,7,6,8,3,1]
[5,4,6,3,1,2,8,7]=>[2,1,8,5,4,3,6,7]
[4,6,2,3,1,5,8,7]=>[3,1,4,8,5,2,6,7]
[7,2,3,4,5,8,6,1]=>[8,2,3,4,5,1,7,6]
[8,2,3,4,5,7,1,6]=>[2,3,4,5,7,8,6,1]
[7,3,4,6,8,5,1,2]=>[7,2,3,4,1,8,6,5]
[4,7,3,2,8,6,1,5]=>[1,3,7,8,4,2,6,5]
[3,7,4,5,1,8,6,2]=>[3,4,8,1,7,5,2,6]
[3,8,2,6,7,4,5,1]=>[6,4,8,1,3,7,5,2]
[4,8,1,5,6,7,3,2]=>[1,4,5,8,7,3,6,2]
[5,8,2,4,6,7,1,3]=>[4,1,7,3,5,8,6,2]
[6,8,1,3,4,2,7,5]=>[4,5,8,3,1,6,7,2]
[5,8,2,4,3,1,7,6]=>[5,3,1,4,8,6,7,2]
[2,1,7,6,8,5,3,4]=>[7,4,3,8,1,6,2,5]
[3,7,6,1,8,5,2,4]=>[7,8,6,1,4,3,2,5]
[4,7,2,3,8,5,1,6]=>[1,7,3,4,6,2,8,5]
[7,1,3,6,4,8,5,2]=>[8,5,3,4,7,2,1,6]
[7,6,1,4,8,5,2,3]=>[4,7,8,6,3,2,1,5]
[6,2,3,7,8,5,4,1]=>[4,8,7,2,1,3,6,5]
[6,2,3,8,4,5,1,7]=>[5,7,2,3,1,6,8,4]
[7,2,3,6,8,4,1,5]=>[7,6,2,3,4,1,8,5]
[8,2,3,5,7,1,4,6]=>[6,2,3,4,7,8,5,1]
[6,4,8,3,5,1,7,2]=>[2,4,1,8,6,5,7,3]
[5,4,8,3,6,7,1,2]=>[2,1,4,7,5,8,6,3]
[3,5,1,8,4,6,7,2]=>[5,1,2,6,8,7,3,4]
[3,6,1,8,4,5,2,7]=>[5,7,1,6,2,8,3,4]
[4,6,8,3,5,2,7,1]=>[4,1,2,6,5,8,7,3]
[5,7,8,3,2,4,1,6]=>[1,5,4,7,6,2,8,3]
[4,8,2,3,5,6,1,7]=>[3,1,4,5,7,6,8,2]
[6,8,2,3,1,4,5,7]=>[3,5,4,6,1,7,8,2]
[5,2,7,4,8,3,1,6]=>[4,1,7,6,2,3,8,5]
[3,7,8,2,1,4,6,5]=>[4,8,1,5,6,2,7,3]
[3,7,5,2,8,4,1,6]=>[7,4,1,3,6,2,8,5]
[6,3,2,4,1,8,7,5]=>[2,8,3,4,1,7,5,6]
[7,2,3,4,8,5,1,6]=>[7,2,3,4,6,1,8,5]
[5,7,3,1,4,2,6,8]=>[6,4,3,1,5,7,2,8]
[3,7,4,1,8,2,5,6]=>[6,1,3,7,8,4,2,5]
[6,3,7,4,8,1,2,5]=>[6,2,4,1,7,3,8,5]
[8,3,7,4,2,6,1,5]=>[5,2,4,7,8,6,3,1]
[3,7,4,1,5,6,2,8]=>[5,1,3,7,4,6,2,8]
[1,8,3,2,4,5,7,6]=>[3,8,4,5,6,7,1,2]
[8,4,1,6,3,7,5,2]=>[2,8,5,4,7,3,6,1]
[8,7,4,2,1,6,3,5]=>[4,7,3,8,5,6,2,1]
[8,3,5,2,7,4,1,6]=>[7,2,4,3,6,8,5,1]
[1,5,3,8,7,6,4,2]=>[8,2,7,6,3,5,1,4]
[7,2,4,8,1,3,6,5]=>[3,8,2,5,6,1,7,4]
[1,2,8,7,5,6,3,4]=>[7,5,8,6,4,1,2,3]
[3,1,8,6,7,5,2,4]=>[7,4,8,1,6,5,2,3]
[1,4,8,6,5,7,2,3]=>[7,5,2,4,8,6,1,3]
[1,6,5,4,8,2,3,7]=>[6,4,3,2,7,8,1,5]
[5,1,6,8,3,4,2,7]=>[5,3,1,7,6,8,2,4]
[6,2,5,1,7,4,3,8]=>[7,6,2,4,3,1,5,8]
[5,2,1,8,7,4,3,6]=>[7,6,1,8,2,5,3,4]
[5,2,6,3,8,1,4,7]=>[4,6,2,1,3,7,8,5]
[5,2,8,3,4,6,1,7]=>[4,5,1,7,2,6,8,3]
[6,2,8,4,3,1,7,5]=>[5,4,8,2,1,6,7,3]
[7,2,8,1,3,6,5,4]=>[8,7,2,4,5,1,6,3]
[7,3,8,1,4,6,2,5]=>[2,5,7,8,4,1,6,3]
[1,7,8,5,4,6,3,2]=>[5,4,2,8,7,6,1,3]
[1,5,8,4,6,3,7,2]=>[2,4,6,5,8,7,1,3]
[5,3,8,4,1,2,7,6]=>[8,2,1,5,4,6,7,3]
[5,8,4,3,6,2,1,7]=>[1,4,3,7,6,5,8,2]
[1,8,3,6,5,2,7,4]=>[8,6,3,5,4,7,1,2]
[1,8,2,4,7,6,5,3]=>[8,7,4,6,3,5,1,2]
[3,8,1,4,6,7,5,2]=>[5,8,1,4,7,3,6,2]
[3,8,2,5,1,7,6,4]=>[4,8,1,3,7,5,6,2]
[4,3,8,2,5,1,6,7]=>[2,1,4,6,5,7,8,3]
[8,2,4,3,5,1,7,6]=>[4,2,3,5,8,6,7,1]
[8,2,1,4,6,5,7,3]=>[6,2,4,5,8,3,7,1]
[8,1,3,4,5,7,6,2]=>[8,3,4,5,7,2,6,1]
[6,1,5,2,4,7,8,3]=>[5,6,3,8,2,1,4,7]
[4,1,8,5,2,7,6,3]=>[1,4,8,7,5,6,2,3]
[4,8,5,1,3,6,2,7]=>[1,5,7,4,3,6,8,2]
[3,6,1,5,7,2,8,4]=>[4,8,1,6,3,2,5,7]
[6,3,1,2,8,5,7,4]=>[2,6,8,7,3,1,4,5]
[4,1,8,2,3,7,5,6]=>[7,1,8,4,5,6,2,3]
[5,3,8,7,2,1,4,6]=>[6,2,1,5,7,8,4,3]
[6,7,3,5,1,4,8,2]=>[3,6,1,8,5,4,2,7]
[6,4,7,5,8,2,3,1]=>[6,2,1,4,3,8,7,5]
[5,7,8,4,2,6,3,1]=>[8,1,5,4,2,7,6,3]
[5,4,7,6,2,8,3,1]=>[1,8,2,5,4,3,7,6]
[5,7,4,1,6,8,3,2]=>[1,5,3,8,7,4,2,6]
[6,8,4,5,7,1,3,2]=>[3,1,8,6,4,7,5,2]
[5,8,4,6,1,7,3,2]=>[1,3,8,7,5,4,6,2]
[5,6,1,4,7,8,3,2]=>[4,1,5,2,8,7,3,6]
[5,6,7,2,4,8,3,1]=>[1,5,2,8,4,3,7,6]
[5,6,3,7,4,8,2,1]=>[1,5,3,2,4,8,7,6]
[5,3,6,7,4,8,2,1]=>[3,1,5,2,4,8,7,6]
[5,3,2,8,6,7,4,1]=>[5,1,8,2,7,3,6,4]
[5,4,8,2,6,7,3,1]=>[2,1,5,8,4,7,6,3]
[5,4,8,6,2,7,3,1]=>[1,8,2,5,4,7,6,3]
[6,4,8,5,7,2,3,1]=>[6,2,1,4,8,7,5,3]
[7,4,8,5,6,2,1,3]=>[7,2,6,4,1,8,5,3]
[4,6,8,5,7,2,3,1]=>[2,6,1,4,8,7,5,3]
[5,6,8,2,4,7,3,1]=>[1,5,2,8,4,7,6,3]
[5,6,3,8,4,7,2,1]=>[1,5,2,8,3,7,6,4]
[4,6,3,5,8,7,2,1]=>[8,1,3,2,4,7,6,5]
[4,6,3,2,8,7,5,1]=>[8,1,3,2,7,4,6,5]
[5,6,3,8,2,7,4,1]=>[1,8,3,2,5,7,6,4]
[3,6,5,8,7,2,4,1]=>[3,2,6,8,1,7,5,4]
[5,3,6,8,2,7,4,1]=>[3,1,8,2,5,7,6,4]
[4,3,7,2,8,6,5,1]=>[8,1,7,2,4,3,6,5]
[5,4,7,2,6,8,3,1]=>[2,1,5,8,4,3,7,6]
[5,3,2,7,6,8,4,1]=>[5,2,1,4,8,3,7,6]
[6,7,3,8,5,2,4,1]=>[6,1,8,3,2,7,5,4]
[6,3,2,7,5,4,8,1]=>[6,2,5,3,1,4,8,7]
[6,4,7,2,5,3,8,1]=>[2,6,4,1,5,3,8,7]
[6,2,7,5,1,4,8,3]=>[6,8,5,2,1,4,3,7]
[2,7,8,5,3,6,1,4]=>[5,7,4,2,8,1,6,3]
[6,3,7,8,4,2,5,1]=>[6,5,2,1,3,8,7,4]
[3,5,7,8,4,6,2,1]=>[5,2,3,8,1,7,6,4]
[5,3,7,8,4,6,2,1]=>[1,5,3,8,2,7,6,4]
[5,7,8,2,4,6,3,1]=>[1,5,8,4,2,7,6,3]
[2,5,8,4,3,7,6,1]=>[2,4,8,5,7,1,6,3]
[2,6,8,4,7,3,5,1]=>[4,2,6,8,7,1,5,3]
[3,7,4,8,6,2,1,5]=>[7,3,6,1,2,8,5,4]
[3,6,4,8,7,2,5,1]=>[6,2,8,1,3,7,5,4]
[3,5,4,8,2,7,6,1]=>[2,8,1,3,5,7,6,4]
[4,3,7,5,8,6,2,1]=>[8,1,4,2,3,7,6,5]
[4,5,7,3,8,6,2,1]=>[8,1,2,4,3,7,6,5]
[3,5,6,8,4,7,2,1]=>[2,3,5,8,1,7,6,4]
[6,3,1,8,7,5,4,2]=>[8,7,2,1,6,5,3,4]
[5,4,8,1,7,6,3,2]=>[1,8,2,7,6,4,5,3]
[5,8,4,1,7,6,3,2]=>[1,3,8,7,6,4,5,2]
[7,5,4,1,8,6,3,2]=>[3,2,8,7,6,4,1,5]
[8,5,4,1,7,6,3,2]=>[3,2,8,7,6,4,5,1]
[1,8,2,5,6,3,4,7]=>[6,4,7,3,5,8,1,2]
[7,2,8,4,5,1,3,6]=>[6,4,7,2,5,1,8,3]
[1,3,7,5,6,2,4,8]=>[6,4,7,2,5,1,3,8]
[1,8,5,2,3,7,4,6]=>[7,8,4,3,5,6,1,2]
[7,5,8,3,2,1,6,4]=>[5,4,2,8,6,1,7,3]
[7,5,8,1,2,6,3,4]=>[7,8,4,2,5,1,6,3]
[1,5,4,6,2,3,7,8]=>[5,3,2,6,1,4,7,8]
[6,5,4,3,8,1,7,2]=>[4,3,2,1,8,6,7,5]
[7,3,6,8,5,2,4,1]=>[6,3,8,2,1,7,5,4]
[2,7,8,5,4,6,3,1]=>[5,4,2,8,7,1,6,3]
[6,1,2,8,3,7,4,5]=>[7,8,5,6,2,1,3,4]
[2,6,5,7,3,8,1,4]=>[5,3,2,7,1,4,8,6]
[1,3,2,7,8,5,6,4]=>[6,4,8,2,7,1,3,5]
[6,5,2,1,8,7,3,4]=>[7,8,3,2,1,6,4,5]
[2,6,5,3,7,8,4,1]=>[5,3,2,8,1,4,7,6]
[6,5,2,3,8,7,1,4]=>[7,8,3,2,1,4,6,5]
[5,4,1,2,3,8,6,7]=>[7,8,3,2,1,4,5,6]
[5,1,4,2,3,7,8,6]=>[6,3,8,2,1,4,5,7]
[1,5,4,2,6,3,8,7]=>[5,3,2,8,1,4,6,7]
[5,1,6,3,8,2,7,4]=>[8,4,3,1,6,7,2,5]
[1,8,7,6,2,5,4,3]=>[8,7,5,6,4,3,1,2]
[5,2,7,4,1,6,3,8]=>[7,5,2,1,4,6,3,8]
[4,7,3,1,5,6,2,8]=>[1,5,3,7,4,6,2,8]
[5,8,3,4,1,6,7,2]=>[3,1,6,4,8,5,7,2]
[1,7,8,4,5,6,2,3]=>[4,7,5,2,8,6,1,3]
[1,5,8,4,2,6,7,3]=>[2,6,4,8,5,7,1,3]
[1,6,3,8,5,2,7,4]=>[8,6,3,2,5,7,1,4]
[5,2,3,7,1,6,4,8]=>[7,2,3,1,5,6,4,8]
[6,2,3,7,5,1,4,8]=>[6,7,2,3,1,5,4,8]
[1,7,3,4,8,6,2,5]=>[7,8,3,4,2,6,1,5]
[6,2,3,4,8,1,7,5]=>[8,2,3,4,1,6,7,5]
[8,7,3,2,1,6,5,4]=>[3,8,4,7,5,6,2,1]
[8,7,6,3,1,5,2,4]=>[7,4,8,5,6,3,2,1]
[8,5,1,7,2,3,4,6]=>[5,6,7,2,8,3,4,1]
[2,4,8,5,3,7,1,6]=>[5,2,4,7,8,1,6,3]
[2,4,1,8,5,3,7,6]=>[2,5,8,1,6,7,3,4]
[2,4,8,6,3,1,7,5]=>[5,8,2,6,1,4,7,3]
[3,4,6,8,2,1,7,5]=>[5,1,2,3,8,6,7,4]
[3,4,1,5,8,2,7,6]=>[1,2,8,4,6,7,3,5]
[8,1,4,5,3,2,7,6]=>[3,5,4,8,2,6,7,1]
[3,4,1,5,2,8,7,6]=>[1,2,8,4,7,3,5,6]
[3,4,6,2,1,8,7,5]=>[8,1,2,4,3,7,5,6]
[3,5,6,2,1,7,8,4]=>[4,1,2,6,3,8,5,7]
[3,4,6,2,7,8,1,5]=>[7,1,2,4,3,5,8,6]
[8,1,4,6,3,7,2,5]=>[3,5,7,4,8,2,6,1]
[8,1,4,6,3,7,5,2]=>[8,3,5,4,7,2,6,1]
[3,5,6,2,1,7,4,8]=>[4,1,2,7,5,3,6,8]
[8,1,5,6,7,3,4,2]=>[3,6,4,8,7,2,5,1]
[8,1,5,6,7,3,2,4]=>[3,7,6,4,8,2,5,1]
[3,4,1,6,8,7,2,5]=>[1,2,4,7,8,6,3,5]
[3,5,6,1,8,7,2,4]=>[2,7,1,3,8,6,4,5]
[2,1,3,8,6,7,4,5]=>[7,5,8,1,6,2,3,4]
[8,1,3,2,6,7,5,4]=>[5,8,3,7,2,4,6,1]
[2,3,8,6,7,1,5,4]=>[8,6,4,7,1,2,5,3]
[2,4,1,8,6,7,5,3]=>[5,8,2,7,1,6,3,4]
[2,5,8,6,1,7,4,3]=>[8,2,7,5,1,4,6,3]
[3,5,6,1,8,7,4,2]=>[2,3,8,1,7,6,4,5]
[3,4,1,6,8,7,5,2]=>[8,1,2,4,7,6,3,5]
[3,4,6,8,7,1,5,2]=>[3,8,1,2,6,7,5,4]
[8,1,4,6,2,7,5,3]=>[8,3,7,5,2,4,6,1]
[3,5,1,6,7,8,4,2]=>[4,1,2,5,8,7,3,6]
[4,5,6,1,7,8,3,2]=>[1,2,5,3,8,7,4,6]
[4,5,6,1,7,3,8,2]=>[1,2,6,5,3,8,4,7]
[3,5,1,6,7,4,8,2]=>[4,1,2,6,5,8,3,7]
[8,1,5,6,7,4,2,3]=>[3,7,4,8,6,2,5,1]
[8,1,5,6,7,4,3,2]=>[3,4,8,7,6,2,5,1]
[3,5,1,6,7,4,2,8]=>[4,1,2,7,6,3,5,8]
[4,5,6,1,7,3,2,8]=>[1,2,7,6,4,3,5,8]
[6,5,8,7,4,3,1,2]=>[2,1,7,8,6,5,4,3]
[6,4,2,7,8,5,1,3]=>[2,7,4,1,8,3,6,5]
[6,1,4,8,7,5,2,3]=>[7,8,3,1,6,5,2,4]
[1,6,4,8,7,5,2,3]=>[7,2,8,3,6,5,1,4]
[1,8,6,2,4,7,3,5]=>[5,7,8,4,3,6,1,2]
[8,1,6,2,4,7,3,5]=>[5,7,8,4,2,3,6,1]
[7,6,2,1,4,8,3,5]=>[3,5,7,8,4,2,1,6]
[6,4,1,7,8,5,2,3]=>[2,7,4,1,8,6,3,5]
[7,6,1,2,4,8,3,5]=>[5,7,8,3,4,2,1,6]
[7,6,1,3,4,8,2,5]=>[4,5,7,8,3,2,1,6]
[8,1,6,3,4,7,2,5]=>[4,5,7,3,8,2,6,1]
[1,8,6,3,4,7,2,5]=>[4,5,7,3,8,6,1,2]
[1,7,2,5,4,8,3,6]=>[5,4,7,8,3,1,2,6]
[7,1,2,5,4,8,3,6]=>[5,4,7,8,2,3,1,6]
[2,7,1,5,4,8,3,6]=>[5,4,7,8,1,3,2,6]
[2,8,6,3,4,7,1,5]=>[4,5,7,3,8,1,6,2]
[2,8,6,1,4,7,3,5]=>[5,7,8,4,1,3,6,2]
[7,2,1,5,4,8,3,6]=>[5,2,4,7,8,3,1,6]
[1,2,7,5,4,8,3,6]=>[5,4,7,3,8,1,2,6]
[3,2,7,5,4,8,1,6]=>[5,1,4,7,2,3,8,6]
[2,5,8,4,7,3,1,6]=>[2,4,7,6,8,1,5,3]
[2,3,7,5,4,8,1,6]=>[5,4,7,1,2,3,8,6]
[6,8,3,2,4,7,1,5]=>[4,3,5,1,7,8,6,2]
[3,7,2,5,4,8,1,6]=>[5,1,3,4,7,2,8,6]
[3,1,7,5,4,8,2,6]=>[5,1,4,7,3,8,2,6]
[1,3,7,5,4,8,2,6]=>[5,4,7,2,3,8,1,6]
[1,5,8,4,7,3,2,6]=>[2,4,7,6,8,5,1,3]
[5,1,8,4,7,3,2,6]=>[4,1,7,6,8,5,2,3]
[5,8,2,4,7,3,1,6]=>[4,1,7,3,6,8,5,2]
[6,8,4,3,7,5,1,2]=>[4,3,1,7,8,6,5,2]
[8,7,5,6,2,1,4,3]=>[5,8,6,3,7,4,2,1]
[8,5,2,4,7,3,1,6]=>[4,7,3,2,6,8,5,1]
[8,1,5,4,7,3,2,6]=>[4,3,7,6,8,2,5,1]
[1,8,5,4,7,3,2,6]=>[4,3,7,6,8,5,1,2]
[1,7,3,5,4,8,2,6]=>[5,3,4,7,2,8,1,6]
[8,6,3,1,4,7,2,5]=>[5,3,7,8,4,2,6,1]
[8,6,4,2,7,5,1,3]=>[7,3,8,4,2,6,5,1]
[8,6,4,1,7,2,5,3]=>[8,6,3,7,4,2,5,1]
[5,3,7,4,6,8,2,1]=>[4,1,5,2,3,8,7,6]
[4,1,3,2,7,8,5,6]=>[7,3,1,5,8,2,4,6]
[1,4,3,2,7,8,5,6]=>[2,7,3,5,8,1,4,6]
[2,4,3,1,7,8,5,6]=>[2,7,1,3,5,8,4,6]
[2,7,3,5,4,8,1,6]=>[5,3,4,7,1,2,8,6]
[2,8,5,4,7,3,1,6]=>[4,3,7,6,8,1,5,2]
[5,7,3,4,6,8,2,1]=>[3,1,4,5,2,8,7,6]
[8,2,5,4,7,3,1,6]=>[4,3,7,2,6,8,5,1]
[7,2,3,5,4,8,1,6]=>[5,2,3,4,7,1,8,6]
[3,2,1,4,7,8,5,6]=>[1,7,2,5,8,3,4,6]
[8,1,7,6,4,3,5,2]=>[6,5,8,7,4,2,3,1]
[8,6,4,5,2,7,1,3]=>[5,3,7,4,2,8,6,1]
[7,1,8,6,4,3,5,2]=>[6,5,8,7,4,2,1,3]
[7,4,2,5,1,6,3,8]=>[7,3,2,5,4,6,1,8]
[7,3,6,5,2,1,4,8]=>[6,2,5,7,4,3,1,8]
[8,3,6,5,2,1,7,4]=>[5,8,2,6,4,3,7,1]
[7,3,6,5,2,1,8,4]=>[5,8,2,6,4,3,1,7]
[7,5,8,6,4,2,1,3]=>[2,7,6,1,8,5,4,3]
[5,4,2,8,1,3,7,6]=>[8,3,2,1,5,6,7,4]
[5,8,2,6,4,1,3,7]=>[6,1,7,3,5,4,8,2]
[6,4,2,5,1,8,3,7]=>[7,3,2,4,1,8,5,6]
[6,3,5,2,1,4,7,8]=>[2,5,4,6,3,1,7,8]
[2,5,8,6,3,1,4,7]=>[2,6,5,7,1,4,8,3]
[2,3,5,8,1,4,7,6]=>[3,8,1,2,5,6,7,4]
[2,3,6,8,1,5,7,4]=>[6,3,8,1,2,5,7,4]
[6,3,8,5,2,7,1,4]=>[5,7,2,1,4,8,6,3]
[6,3,7,5,2,1,4,8]=>[6,2,5,1,7,4,3,8]
[2,5,7,6,3,1,4,8]=>[2,6,5,7,1,4,3,8]
[2,8,7,6,3,1,5,4]=>[5,8,6,7,4,1,3,2]
[2,5,8,7,6,3,1,4]=>[7,2,6,8,5,1,4,3]
[2,4,8,1,6,5,7,3]=>[6,2,5,8,1,4,7,3]
[2,8,7,3,6,1,4,5]=>[4,6,7,8,5,1,3,2]
[7,3,5,2,1,4,6,8]=>[2,5,4,6,3,7,1,8]
[8,4,2,5,1,3,7,6]=>[8,3,2,5,4,6,7,1]
[2,3,6,8,1,4,7,5]=>[8,5,1,2,3,6,7,4]
[2,7,8,6,3,1,4,5]=>[6,5,7,2,8,1,4,3]
[7,3,8,5,2,1,4,6]=>[6,2,5,7,4,1,8,3]
[2,3,6,1,8,4,7,5]=>[8,6,1,2,3,7,4,5]
[2,8,6,3,1,4,5,7]=>[5,4,6,7,1,3,8,2]
[8,3,5,2,1,4,6,7]=>[2,5,4,6,3,7,8,1]
[2,4,8,1,3,7,5,6]=>[2,7,8,1,4,5,6,3]
[2,5,8,1,7,3,6,4]=>[2,8,6,7,1,4,5,3]
[2,8,1,5,7,3,6,4]=>[4,8,6,7,1,3,5,2]
[8,3,6,1,4,7,5,2]=>[8,2,5,7,4,3,6,1]
[3,8,6,1,4,7,5,2]=>[8,5,7,1,4,3,6,2]
[2,6,8,1,5,7,3,4]=>[7,5,2,8,1,4,6,3]
[2,7,1,5,8,3,4,6]=>[6,4,7,8,1,3,2,5]
[2,7,1,6,3,8,4,5]=>[7,8,5,1,3,4,2,6]
[4,7,6,1,8,5,2,3]=>[7,8,1,6,4,3,2,5]
[3,7,5,8,1,2,6,4]=>[8,5,1,3,6,2,7,4]
[7,3,6,1,2,8,4,5]=>[2,7,8,4,5,3,1,6]
[7,4,8,1,6,5,2,3]=>[2,7,8,6,4,1,5,3]
[7,4,6,1,8,2,5,3]=>[2,8,6,7,4,3,1,5]
[7,4,5,8,6,1,2,3]=>[2,6,3,7,1,8,5,4]
[6,8,4,5,1,7,2,3]=>[7,3,1,8,5,4,6,2]
[4,6,8,5,1,7,2,3]=>[7,1,2,8,5,4,6,3]
[5,1,7,6,2,3,8,4]=>[8,5,1,6,4,2,3,7]
[5,1,7,6,2,8,3,4]=>[7,1,8,5,4,2,3,6]
[5,1,8,7,6,2,3,4]=>[6,1,7,8,5,4,2,3]
[8,5,1,7,6,2,3,4]=>[6,7,2,8,5,3,4,1]
[8,5,1,6,2,7,3,4]=>[7,8,5,3,2,4,6,1]
[3,6,1,8,4,7,5,2]=>[8,5,1,2,7,6,3,4]
[4,6,1,8,7,5,2,3]=>[7,1,2,8,6,5,3,4]
[8,4,6,1,7,5,2,3]=>[2,7,8,6,4,3,5,1]
[4,8,5,1,7,2,3,6]=>[1,6,7,3,8,4,5,2]
[4,5,1,8,7,2,3,6]=>[1,6,2,7,8,5,3,4]
[3,4,8,7,1,2,5,6]=>[1,2,5,6,7,8,4,3]
[5,8,4,1,7,2,3,6]=>[6,1,7,3,8,4,5,2]
[8,6,4,7,1,2,5,3]=>[8,5,3,6,2,7,4,1]
[6,4,8,7,1,2,5,3]=>[2,8,5,1,6,7,4,3]
[5,6,8,3,7,1,4,2]=>[1,4,2,8,6,7,5,3]
[6,4,7,1,2,8,5,3]=>[2,8,7,4,1,5,3,6]
[6,5,1,2,7,3,8,4]=>[8,6,3,4,2,1,5,7]
[6,5,1,8,2,7,3,4]=>[7,8,5,2,1,6,3,4]
[8,6,5,1,2,7,3,4]=>[7,8,4,5,3,2,6,1]
[8,6,5,1,7,2,3,4]=>[6,7,8,4,3,2,5,1]
[6,5,1,8,7,2,3,4]=>[6,7,2,1,8,5,3,4]
[6,5,1,7,2,8,3,4]=>[7,8,5,3,2,1,4,6]
[6,5,1,7,2,3,8,4]=>[8,5,6,3,2,1,4,7]
[5,7,4,1,8,2,3,6]=>[6,1,7,3,8,4,2,5]
[5,6,8,7,4,1,2,3]=>[1,6,2,7,8,5,4,3]
[6,8,5,7,4,1,2,3]=>[6,1,7,3,8,5,4,2]
[7,3,8,1,5,2,4,6]=>[2,6,7,4,5,1,8,3]
[1,8,4,2,3,6,7,5]=>[6,3,8,4,5,7,1,2]
[2,5,8,3,4,6,7,1]=>[4,2,5,6,8,1,7,3]
[4,1,7,2,3,6,8,5]=>[6,1,8,4,5,2,3,7]
[4,6,2,1,5,7,8,3]=>[3,1,5,6,2,8,4,7]
[4,5,2,3,1,7,8,6]=>[3,1,4,2,6,8,5,7]
[3,2,6,7,4,1,8,5]=>[5,1,3,8,2,6,4,7]
[5,6,2,7,1,4,8,3]=>[6,1,8,3,2,5,4,7]
[6,2,3,8,1,7,4,5]=>[7,8,2,3,1,5,6,4]
[4,6,2,7,5,1,3,8]=>[1,6,7,3,2,5,4,8]
[2,6,3,1,8,4,5,7]=>[3,6,7,1,2,8,4,5]
[5,4,2,3,7,8,6,1]=>[5,2,1,8,3,4,7,6]
[4,1,8,2,5,7,3,6]=>[5,1,7,8,4,6,2,3]
[3,1,8,4,7,2,5,6]=>[1,4,6,7,8,5,2,3]
[6,2,3,8,4,1,7,5]=>[5,8,2,3,1,6,7,4]
[2,6,4,1,5,3,8,7]=>[5,3,8,1,4,2,6,7]
[3,2,7,6,4,1,8,5]=>[5,8,1,6,2,4,3,7]
[2,5,4,1,7,6,8,3]=>[3,2,6,1,5,8,4,7]
[6,2,1,4,7,8,3,5]=>[7,2,4,5,1,8,3,6]
[2,6,5,1,7,8,3,4]=>[7,5,3,1,2,8,4,6]
[4,7,5,2,1,6,3,8]=>[1,4,7,5,3,6,2,8]
[4,2,3,7,8,1,6,5]=>[1,8,6,2,3,4,7,5]
[5,8,3,1,7,2,4,6]=>[6,3,1,7,8,4,5,2]
[6,8,3,1,5,2,4,7]=>[6,3,7,4,1,5,8,2]
[4,2,7,1,6,3,5,8]=>[6,1,7,2,4,5,3,8]
[5,1,7,4,2,6,3,8]=>[7,5,4,1,6,2,3,8]
[6,8,4,2,1,5,3,7]=>[4,7,5,3,1,6,8,2]
[6,8,5,2,1,7,3,4]=>[4,7,1,8,5,3,6,2]
[5,8,2,1,4,7,3,6]=>[3,5,1,7,8,4,6,2]
[6,8,3,2,5,1,7,4]=>[3,8,4,1,6,5,7,2]
[6,8,4,3,1,5,7,2]=>[6,4,3,1,8,5,7,2]
[6,8,4,2,1,5,7,3]=>[4,6,3,1,8,5,7,2]
[6,8,3,2,1,4,5,7]=>[5,4,3,6,1,7,8,2]
[5,1,7,3,2,4,6,8]=>[5,4,6,1,7,2,3,8]
[5,2,1,8,3,6,7,4]=>[6,8,2,1,5,7,3,4]
[4,3,8,1,6,2,7,5]=>[1,8,2,6,4,5,7,3]
[5,4,7,2,1,6,8,3]=>[4,2,1,6,8,5,3,7]
[5,2,1,7,3,4,8,6]=>[8,2,5,1,6,3,4,7]
[6,4,3,1,7,5,8,2]=>[3,2,6,5,1,8,4,7]
[5,3,1,7,2,6,8,4]=>[2,6,1,8,5,3,4,7]
[3,2,1,7,6,4,8,5]=>[8,1,6,2,5,3,4,7]
[4,2,1,6,5,8,3,7]=>[5,2,1,4,7,8,3,6]
[4,2,1,8,5,7,3,6]=>[5,1,7,8,2,6,3,4]
[7,4,3,1,8,5,6,2]=>[3,2,6,8,7,4,1,5]
[7,4,2,1,8,5,6,3]=>[6,2,8,3,7,4,1,5]
[6,3,2,1,7,4,5,8]=>[3,2,6,7,4,1,5,8]
[6,4,2,1,7,5,3,8]=>[7,3,2,6,4,1,5,8]
[7,5,2,1,8,6,3,4]=>[7,8,3,2,6,4,1,5]
[6,1,8,4,2,7,3,5]=>[7,4,8,5,1,6,2,3]
[6,2,1,8,3,7,4,5]=>[7,8,2,5,1,6,3,4]
[5,2,1,7,3,6,4,8]=>[7,2,5,1,6,3,4,8]
[5,3,2,7,6,1,4,8]=>[2,6,1,7,3,5,4,8]
[5,3,2,8,6,1,4,7]=>[2,6,1,7,3,5,8,4]
[6,3,2,8,7,1,4,5]=>[2,6,7,1,8,3,5,4]
[4,2,8,1,7,3,5,6]=>[6,1,7,8,2,4,5,3]
[4,3,8,7,2,1,5,6]=>[1,6,2,5,7,8,4,3]
[2,1,5,8,4,7,3,6]=>[3,5,7,8,1,6,2,4]
[4,3,2,5,8,1,6,7]=>[3,2,1,4,6,7,8,5]
[4,3,2,5,7,1,6,8]=>[3,2,1,4,6,7,5,8]
[4,3,1,6,2,7,5,8]=>[2,1,7,5,3,4,6,8]
[4,3,1,7,2,8,5,6]=>[2,1,7,8,5,3,4,6]
[5,4,1,7,2,8,6,3]=>[2,1,8,7,5,3,4,6]
[6,5,3,1,7,8,4,2]=>[3,5,2,1,8,7,4,6]
[6,4,2,1,7,8,3,5]=>[7,3,2,5,1,8,4,6]
[5,4,2,1,6,7,3,8]=>[3,5,2,1,7,4,6,8]
[5,3,2,1,6,7,4,8]=>[3,2,5,1,7,4,6,8]
[6,4,2,1,7,8,5,3]=>[5,2,8,3,1,7,4,6]
[5,3,2,6,8,1,7,4]=>[2,4,1,8,3,6,7,5]
[3,2,1,4,8,7,5,6]=>[1,7,8,2,6,3,4,5]
[3,2,1,4,6,8,5,7]=>[2,1,5,7,8,3,4,6]
[4,3,2,6,1,7,8,5]=>[2,1,6,3,4,8,5,7]
[5,3,2,1,6,7,8,4]=>[3,2,5,1,6,8,4,7]
[8,6,1,4,5,7,2,3]=>[4,7,5,8,3,2,6,1]
[3,8,6,4,5,7,1,2]=>[4,7,5,1,3,8,6,2]
[5,2,8,3,7,4,6,1]=>[6,1,8,4,7,2,5,3]
[6,2,8,5,4,7,3,1]=>[5,4,1,8,7,2,6,3]
[1,8,6,3,7,4,2,5]=>[7,4,6,3,8,5,1,2]
[1,8,6,5,7,2,3,4]=>[6,7,4,3,8,5,1,2]
[5,2,8,4,3,6,7,1]=>[5,4,1,6,8,2,7,3]
[5,4,2,7,3,6,1,8]=>[5,2,1,7,3,6,4,8]
[5,4,2,8,3,6,1,7]=>[5,2,1,7,3,6,8,4]
[6,5,3,8,4,7,2,1]=>[5,2,1,8,3,7,6,4]
[5,2,8,4,3,7,1,6]=>[5,4,1,7,8,2,6,3]
[6,2,8,3,7,4,1,5]=>[7,4,6,1,8,2,5,3]
[5,4,2,7,3,1,8,6]=>[5,2,1,8,3,6,4,7]
[6,4,3,7,1,2,8,5]=>[3,2,8,5,1,6,4,7]
[6,4,3,8,1,2,7,5]=>[3,2,8,5,1,6,7,4]
[7,6,3,8,4,2,1,5]=>[7,3,6,5,2,1,8,4]
[7,2,8,5,1,6,3,4]=>[7,8,5,2,4,1,6,3]
[7,2,8,4,3,1,5,6]=>[6,5,2,4,7,1,8,3]
[7,5,3,8,4,2,6,1]=>[6,3,2,5,1,8,7,4]
[6,4,2,7,3,1,5,8]=>[6,3,2,5,1,7,4,8]
[7,6,4,8,2,3,5,1]=>[5,3,6,2,1,8,7,4]
[7,6,8,1,2,5,3,4]=>[7,8,4,5,2,1,6,3]
[5,3,1,7,8,4,6,2]=>[6,2,1,4,8,7,3,5]
[5,3,2,7,8,4,6,1]=>[6,2,1,4,8,3,7,5]
[5,4,1,6,3,8,7,2]=>[4,2,1,8,5,7,3,6]
[6,5,1,7,8,2,3,4]=>[6,7,4,2,1,8,3,5]
[6,3,1,7,8,4,2,5]=>[7,2,6,4,1,8,3,5]
[5,4,1,7,3,8,2,6]=>[5,2,1,7,4,8,3,6]
[6,3,2,7,8,4,1,5]=>[7,2,6,3,1,4,8,5]
[6,1,5,4,3,2,8,7]=>[5,4,3,8,2,1,6,7]
[8,7,6,1,3,5,2,4]=>[5,7,8,4,6,3,2,1]
[8,1,6,5,7,3,4,2]=>[6,4,3,8,7,2,5,1]
[8,4,1,5,7,6,2,3]=>[4,2,7,8,6,3,5,1]
[7,8,6,2,5,3,1,4]=>[7,4,6,1,8,5,3,2]
[6,1,3,5,2,8,4,7]=>[7,3,4,8,2,1,5,6]
[8,1,3,7,4,2,5,6]=>[6,3,5,7,8,2,4,1]
[4,3,8,7,5,2,1,6]=>[7,1,6,2,5,8,4,3]
[6,7,1,8,5,3,4,2]=>[6,1,8,7,5,3,2,4]
[2,7,6,4,8,3,5,1]=>[4,6,3,2,8,1,7,5]
[6,5,2,7,1,4,8,3]=>[6,8,3,2,1,5,4,7]
[7,4,6,1,3,2,8,5]=>[5,2,8,4,6,3,1,7]
[7,5,2,1,3,8,4,6]=>[3,7,8,4,2,5,1,6]
[8,4,7,6,3,1,5,2]=>[8,2,6,5,7,4,3,1]
[7,4,1,5,6,3,8,2]=>[4,2,6,5,8,3,1,7]
[3,4,7,5,6,1,8,2]=>[4,8,1,2,6,5,3,7]
[2,4,7,5,6,3,8,1]=>[4,6,2,5,1,3,8,7]
[5,4,1,7,6,2,8,3]=>[2,1,8,6,5,3,4,7]
[3,5,6,7,1,4,8,2]=>[2,6,1,3,8,5,4,7]
[2,7,6,1,3,4,8,5]=>[8,4,5,6,1,3,2,7]
[5,7,2,1,6,3,8,4]=>[8,3,1,6,4,5,2,7]
[4,7,2,5,6,3,8,1]=>[1,4,6,3,5,2,8,7]
[8,6,2,5,7,1,4,3]=>[8,6,3,4,2,7,5,1]
[2,7,4,5,3,8,1,6]=>[3,5,4,7,1,2,8,6]
[6,8,7,1,3,2,5,4]=>[5,8,4,1,6,7,3,2]
[2,8,6,5,7,1,4,3]=>[8,6,4,3,7,1,5,2]
[5,8,4,3,2,6,7,1]=>[1,5,4,3,6,8,7,2]
[1,8,5,6,2,4,7,3]=>[6,3,8,5,4,7,1,2]
[8,1,5,6,2,4,7,3]=>[6,3,8,5,2,4,7,1]
[6,4,8,1,3,2,7,5]=>[5,2,8,4,1,6,7,3]
[1,4,5,2,8,6,7,3]=>[2,3,6,8,7,1,4,5]
[2,3,1,7,8,6,4,5]=>[7,4,8,1,2,6,3,5]
[3,5,7,6,2,8,1,4]=>[2,5,7,1,4,3,8,6]
[4,5,6,1,2,8,7,3]=>[1,2,8,7,4,3,5,6]
[5,4,1,2,8,6,7,3]=>[6,2,1,8,7,3,4,5]
[8,4,5,2,1,6,7,3]=>[4,2,6,3,8,5,7,1]
[3,1,2,6,8,4,7,5]=>[1,4,8,6,7,2,3,5]
[5,1,3,2,7,8,4,6]=>[7,3,5,1,8,2,4,6]
[1,5,4,2,7,8,3,6]=>[3,2,7,5,8,1,4,6]
[4,6,7,8,3,1,5,2]=>[2,8,1,6,5,3,7,4]
[7,6,2,8,4,3,1,5]=>[7,6,3,5,2,1,8,4]
[5,2,8,6,3,4,7,1]=>[5,1,6,4,8,2,7,3]
[5,6,8,4,3,2,7,1]=>[1,2,6,5,4,8,7,3]
[5,3,8,1,7,2,4,6]=>[2,6,1,7,8,4,5,3]
[3,6,7,8,4,2,1,5]=>[2,7,6,1,5,3,8,4]
[6,5,1,8,4,3,7,2]=>[6,5,2,1,8,7,3,4]
[6,3,8,4,2,1,7,5]=>[5,2,4,1,8,6,7,3]
[2,5,8,3,1,6,7,4]=>[4,2,6,8,1,5,7,3]
[3,5,8,1,2,6,7,4]=>[6,1,2,8,4,5,7,3]
[3,2,8,1,5,6,7,4]=>[1,5,6,8,2,4,7,3]
[1,5,8,3,2,6,7,4]=>[4,2,6,8,5,7,1,3]
[1,3,8,6,2,4,7,5]=>[8,5,6,2,4,7,1,3]
[3,2,7,8,4,6,1,5]=>[5,7,1,3,8,2,6,4]
[5,1,8,3,4,6,7,2]=>[4,5,1,6,8,7,2,3]
[4,8,7,2,1,6,3,5]=>[1,4,7,8,5,6,3,2]
[2,8,1,6,3,4,7,5]=>[8,5,6,1,3,4,7,2]
[8,3,4,2,1,6,5,7]=>[2,4,3,7,5,6,8,1]
[6,4,7,2,5,8,1,3]=>[2,7,4,1,5,3,8,6]
[8,4,5,2,6,3,1,7]=>[2,7,4,3,6,5,8,1]
[2,4,5,8,3,6,1,7]=>[2,3,5,7,1,6,8,4]
[3,5,8,1,2,6,4,7]=>[7,1,4,2,5,6,8,3]
[8,6,1,3,5,2,4,7]=>[4,6,7,3,5,2,8,1]
[8,5,1,2,6,4,3,7]=>[7,6,3,4,2,5,8,1]
[5,8,6,1,3,4,2,7]=>[5,1,7,4,6,3,8,2]
[5,8,4,6,1,3,2,7]=>[1,7,5,3,6,4,8,2]
[7,3,4,5,2,8,1,6]=>[2,3,5,4,7,1,8,6]
[5,7,4,3,6,1,8,2]=>[1,4,3,8,6,5,2,7]
[2,6,4,3,7,8,5,1]=>[3,5,2,8,1,4,7,6]
[7,4,1,8,3,2,5,6]=>[6,5,2,7,8,3,1,4]
[6,2,1,7,8,4,5,3]=>[6,4,8,2,1,7,3,5]
[7,6,3,1,5,4,8,2]=>[3,6,5,8,4,2,1,7]
[2,4,6,5,1,7,8,3]=>[6,2,4,1,3,8,5,7]
[1,4,7,5,6,8,2,3]=>[4,7,2,5,3,8,1,6]
[1,4,7,6,5,8,2,3]=>[7,5,2,4,3,8,1,6]
[3,7,5,2,4,6,8,1]=>[4,5,1,3,6,2,8,7]
[5,6,1,7,4,2,8,3]=>[1,8,6,5,3,2,4,7]
[3,7,4,8,1,2,6,5]=>[3,8,1,5,6,2,7,4]
[6,3,5,7,8,1,4,2]=>[3,8,2,1,6,4,7,5]
[3,6,5,7,1,8,4,2]=>[3,2,8,1,7,5,4,6]
[6,4,7,8,2,1,3,5]=>[2,6,5,1,7,3,8,4]
[6,7,3,8,4,1,2,5]=>[3,6,1,7,5,2,8,4]
[2,7,8,3,4,6,1,5]=>[4,5,7,2,8,1,6,3]
[7,5,8,4,1,3,2,6]=>[7,5,2,6,4,1,8,3]
[4,7,5,8,3,1,2,6]=>[6,1,3,7,5,2,8,4]
[3,6,7,4,8,1,2,5]=>[6,4,1,2,7,3,8,5]
[5,7,3,1,6,8,4,2]=>[3,1,5,8,7,4,2,6]
[2,7,3,1,8,6,4,5]=>[7,8,3,6,1,4,2,5]
[2,8,4,3,1,5,7,6]=>[4,3,8,1,5,6,7,2]
[4,8,1,2,3,5,7,6]=>[8,3,1,4,5,6,7,2]
[7,6,8,1,2,4,3,5]=>[7,4,5,6,2,1,8,3]
[7,6,8,5,1,3,2,4]=>[7,5,6,2,1,8,4,3]
[2,8,5,4,6,1,7,3]=>[4,3,8,6,1,5,7,2]
[8,4,5,2,7,6,1,3]=>[2,7,3,8,4,6,5,1]
[8,7,6,4,1,2,5,3]=>[8,5,6,4,7,3,2,1]
[6,7,1,3,5,2,8,4]=>[8,4,6,3,1,5,2,7]
[5,7,2,3,6,8,1,4]=>[7,3,1,4,5,2,8,6]
[8,5,3,2,7,6,1,4]=>[3,7,2,8,4,6,5,1]
[3,4,6,7,5,8,1,2]=>[3,7,1,2,5,4,8,6]
[3,4,5,7,6,1,8,2]=>[8,1,2,3,6,5,4,7]
[2,6,4,5,7,8,3,1]=>[3,4,2,5,8,1,7,6]
[3,8,5,1,6,2,7,4]=>[8,6,1,4,3,5,7,2]
[2,5,1,3,6,8,7,4]=>[8,5,1,2,7,3,4,6]
[5,4,6,1,3,7,8,2]=>[5,2,1,6,3,8,4,7]
[6,3,5,7,1,4,8,2]=>[6,2,3,1,8,5,4,7]
[7,3,4,6,8,1,5,2]=>[8,2,3,6,4,1,7,5]
[7,5,2,8,4,1,3,6]=>[6,7,3,2,5,1,8,4]
[3,7,6,4,1,8,2,5]=>[7,4,8,1,5,3,2,6]
[3,7,8,4,1,5,6,2]=>[6,4,8,1,5,2,7,3]
[8,7,5,4,2,1,6,3]=>[5,8,6,4,3,7,2,1]
[3,5,8,6,7,4,2,1]=>[4,8,2,7,1,6,5,3]
[5,8,1,6,7,3,4,2]=>[1,6,4,8,7,3,5,2]
[6,7,2,5,1,8,4,3]=>[8,7,3,1,5,4,2,6]
[5,8,2,1,6,7,4,3]=>[5,1,8,3,7,4,6,2]
[4,5,2,8,6,3,7,1]=>[1,2,6,5,8,3,7,4]
[3,6,1,2,5,8,4,7]=>[1,5,7,8,3,2,4,6]
[1,4,5,8,2,3,7,6]=>[2,3,8,5,6,7,1,4]
[1,2,6,4,5,8,3,7]=>[4,5,3,7,8,1,2,6]
[1,5,2,4,6,8,3,7]=>[4,5,2,7,8,1,3,6]
[3,6,1,5,8,2,4,7]=>[6,1,4,7,2,8,3,5]
[2,6,5,1,4,8,3,7]=>[5,7,3,1,2,8,4,6]
[5,2,6,1,4,8,3,7]=>[5,7,2,1,3,8,4,6]
[2,5,1,8,4,7,3,6]=>[5,2,7,8,1,6,3,4]
[2,7,1,4,3,6,8,5]=>[4,6,8,1,3,5,2,7]
[1,3,7,5,8,2,4,6]=>[6,4,7,2,3,8,1,5]
[8,2,1,5,7,3,4,6]=>[6,2,4,7,8,3,5,1]
[2,5,4,8,1,3,7,6]=>[3,2,8,1,5,6,7,4]
[2,4,1,3,8,6,7,5]=>[2,6,8,1,7,3,4,5]
[8,4,3,7,1,2,6,5]=>[3,2,8,5,6,7,4,1]
[1,7,3,5,8,2,6,4]=>[4,8,3,6,2,7,1,5]
[1,8,4,2,6,7,3,5]=>[3,7,5,8,4,6,1,2]
[3,1,6,8,7,2,4,5]=>[6,1,3,7,8,5,2,4]
[7,2,1,6,8,3,4,5]=>[6,7,2,4,8,3,1,5]
[3,1,7,6,8,2,4,5]=>[6,7,1,4,3,8,2,5]
[4,1,7,2,6,8,3,5]=>[1,7,5,8,4,2,3,6]
[5,1,7,2,3,6,8,4]=>[6,8,4,1,5,2,3,7]
[7,2,1,6,3,5,8,4]=>[6,8,2,5,3,4,1,7]
[2,6,1,7,3,5,8,4]=>[6,8,5,1,3,2,4,7]
[7,1,2,5,3,6,8,4]=>[6,4,8,2,3,5,1,7]
[5,4,1,2,7,8,3,6]=>[7,5,2,1,8,3,4,6]
[8,1,3,2,4,6,7,5]=>[3,6,8,2,4,5,7,1]
[7,3,1,2,4,6,8,5]=>[6,2,8,3,4,5,1,7]
[1,8,3,4,7,2,5,6]=>[3,4,6,7,8,5,1,2]
[3,5,8,1,2,7,4,6]=>[7,1,2,8,4,5,6,3]
[3,6,8,1,2,4,7,5]=>[8,1,4,5,2,6,7,3]
[4,1,3,8,7,2,6,5]=>[1,8,6,7,3,5,2,4]
[1,3,7,4,8,2,6,5]=>[8,4,6,2,3,7,1,5]
[1,4,6,8,2,3,7,5]=>[8,2,5,3,6,7,1,4]
[3,5,8,1,7,2,4,6]=>[6,1,2,7,8,4,5,3]
[2,6,8,1,7,3,4,5]=>[6,7,2,8,1,4,5,3]
[6,1,5,8,2,3,7,4]=>[8,5,3,6,1,7,2,4]
[1,8,3,2,7,5,6,4]=>[6,8,3,7,4,5,1,2]
[3,1,7,2,8,5,6,4]=>[6,8,1,7,4,2,3,5]
[2,6,7,3,8,1,5,4]=>[8,4,2,6,1,3,7,5]
[8,4,1,7,3,6,2,5]=>[5,2,7,8,6,3,4,1]
[3,7,2,8,6,1,5,4]=>[8,6,7,1,3,2,5,4]
[6,2,3,8,7,1,5,4]=>[8,6,7,2,1,3,5,4]
[5,1,7,8,4,2,6,3]=>[1,8,6,5,3,7,2,4]
[5,1,8,7,4,2,6,3]=>[1,8,6,5,7,4,2,3]
[4,7,2,8,3,6,5,1]=>[8,1,5,7,3,2,6,4]
[4,1,7,8,5,3,6,2]=>[6,1,5,3,8,7,2,4]
[5,1,7,4,8,3,6,2]=>[4,1,6,3,8,7,2,5]
[4,1,8,7,5,3,6,2]=>[6,1,5,8,7,4,2,3]
[4,8,2,7,3,6,5,1]=>[8,1,5,7,3,6,4,2]
[4,7,2,6,3,5,8,1]=>[1,5,6,3,4,2,8,7]
[6,8,2,4,3,7,5,1]=>[4,8,3,1,5,7,6,2]
[6,7,2,4,3,8,5,1]=>[4,8,3,1,5,2,7,6]
[6,8,2,7,3,5,4,1]=>[8,5,1,7,3,6,4,2]
[3,8,7,2,4,1,5,6]=>[4,6,1,5,7,8,3,2]
[3,7,8,2,4,1,5,6]=>[4,6,1,5,7,2,8,3]
[3,6,8,2,4,5,7,1]=>[4,5,1,2,6,8,7,3]
[3,6,7,2,4,5,8,1]=>[4,5,1,2,6,3,8,7]
[6,5,1,4,2,3,8,7]=>[8,5,3,4,2,1,6,7]
[8,6,1,7,2,5,4,3]=>[8,7,5,6,3,2,4,1]
[8,7,6,1,2,3,5,4]=>[8,4,5,6,7,3,2,1]
[5,4,3,1,6,2,8,7]=>[5,3,2,1,8,4,6,7]
[8,3,4,7,1,6,2,5]=>[2,3,7,8,5,6,4,1]
[6,3,4,1,8,5,2,7]=>[2,3,7,6,1,8,4,5]
[3,8,5,2,7,1,6,4]=>[8,4,1,3,6,7,5,2]
[2,8,6,7,5,3,4,1]=>[6,3,8,7,5,1,4,2]
[2,1,8,7,3,6,4,5]=>[7,8,5,6,1,4,2,3]
[3,6,5,8,2,4,7,1]=>[5,3,1,2,6,8,7,4]
[5,2,1,8,7,3,4,6]=>[6,7,1,8,2,5,3,4]
[6,5,2,7,4,3,8,1]=>[6,5,3,2,1,4,8,7]
[4,6,5,2,7,3,8,1]=>[6,1,4,3,2,5,8,7]
[6,2,7,1,8,3,5,4]=>[8,6,7,2,1,4,3,5]
[2,7,5,4,8,3,6,1]=>[4,3,6,2,8,1,7,5]
[8,7,5,1,2,6,4,3]=>[8,7,4,5,3,6,2,1]
[8,4,3,2,7,1,6,5]=>[3,2,8,4,6,7,5,1]
[7,1,6,2,3,8,5,4]=>[8,7,4,5,2,3,1,6]
[4,8,1,3,2,7,5,6]=>[4,1,7,8,3,5,6,2]
[3,8,1,4,7,5,2,6]=>[7,1,4,6,8,3,5,2]
[6,3,8,7,4,5,1,2]=>[7,5,1,8,2,6,4,3]
[6,1,4,8,5,2,3,7]=>[3,6,7,5,1,8,2,4]
[8,5,7,4,6,2,1,3]=>[2,7,6,4,8,5,3,1]
[4,6,7,8,2,3,5,1]=>[5,1,2,6,3,8,7,4]
[8,7,4,6,2,1,5,3]=>[5,3,8,6,7,4,2,1]
[7,6,1,3,5,2,8,4]=>[8,4,6,3,5,2,1,7]
[5,8,3,2,4,6,1,7]=>[4,3,1,5,7,6,8,2]
[8,2,6,5,3,1,7,4]=>[5,8,6,2,4,3,7,1]
[4,8,7,6,5,2,3,1]=>[6,8,7,1,5,4,3,2]
[2,1,8,6,4,3,7,5]=>[5,8,6,1,4,7,2,3]
[2,1,7,6,5,3,8,4]=>[8,6,5,1,4,2,3,7]
[2,7,6,1,3,5,8,4]=>[6,8,4,5,1,3,2,7]
[7,2,5,4,6,1,8,3]=>[4,3,8,2,6,5,1,7]
[4,7,6,1,2,5,8,3]=>[1,6,8,4,5,3,2,7]
[2,4,1,7,6,8,5,3]=>[5,2,4,8,1,7,3,6]
[3,4,1,7,8,5,6,2]=>[6,1,2,4,8,7,3,5]
[7,5,4,3,1,8,6,2]=>[4,3,2,8,7,5,1,6]
[8,5,6,2,7,3,1,4]=>[7,4,2,6,3,8,5,1]
[8,4,2,5,6,1,7,3]=>[4,2,8,3,6,5,7,1]
[6,3,5,4,1,7,8,2]=>[6,2,4,3,1,8,5,7]
[4,1,3,6,7,5,8,2]=>[4,1,6,3,5,8,2,7]
[1,7,5,3,8,2,4,6]=>[4,6,3,7,2,8,1,5]
[1,7,2,4,5,8,3,6]=>[4,5,7,8,3,1,2,6]
[8,2,5,3,1,6,4,7]=>[4,7,2,5,3,6,8,1]
[1,7,4,5,8,3,2,6]=>[3,4,7,6,2,8,1,5]
[2,6,4,7,8,3,5,1]=>[6,3,2,4,8,1,7,5]
[2,6,4,7,8,3,1,5]=>[7,3,2,6,1,4,8,5]
[1,2,6,4,7,8,3,5]=>[7,4,3,5,8,1,2,6]
[2,7,4,5,8,1,3,6]=>[3,6,4,7,1,2,8,5]
[2,7,5,3,1,8,4,6]=>[4,7,3,8,1,5,2,6]
[6,1,4,7,8,3,5,2]=>[6,3,4,1,8,7,2,5]
[3,6,4,7,8,1,5,2]=>[8,3,1,2,6,4,7,5]
[4,3,6,7,1,8,5,2]=>[1,3,8,2,7,5,4,6]
[4,3,6,7,1,8,2,5]=>[1,7,2,3,8,5,4,6]
[3,6,4,7,8,1,2,5]=>[3,6,1,2,7,4,8,5]
[2,3,6,4,1,7,8,5]=>[4,6,1,2,3,8,5,7]
[4,7,2,1,5,3,8,6]=>[3,1,5,8,4,6,2,7]
[3,7,4,5,2,1,8,6]=>[3,5,1,4,8,6,2,7]
[1,3,6,4,7,2,8,5]=>[8,4,2,3,6,1,5,7]
[3,6,4,7,2,8,5,1]=>[8,3,1,2,5,4,7,6]
[5,1,3,4,2,7,8,6]=>[3,4,6,1,8,2,5,7]
[5,4,2,1,3,7,8,6]=>[3,6,2,1,8,4,5,7]
[6,1,7,3,8,2,5,4]=>[8,4,6,3,1,7,2,5]
[1,6,7,3,8,2,5,4]=>[8,4,2,6,3,7,1,5]
[6,1,4,7,8,5,2,3]=>[7,3,4,1,8,6,2,5]
[6,3,2,1,7,8,5,4]=>[2,5,8,3,1,7,4,6]
[6,2,7,3,1,8,5,4]=>[8,4,7,2,1,5,3,6]
[6,2,4,7,8,1,5,3]=>[8,3,6,2,1,4,7,5]
[2,6,7,3,1,8,5,4]=>[8,4,2,7,1,5,3,6]
[8,6,5,1,3,2,4,7]=>[6,4,5,7,3,2,8,1]
[6,4,7,8,3,2,5,1]=>[6,2,1,5,3,8,7,4]
[3,8,4,7,1,2,5,6]=>[5,1,3,6,7,8,4,2]
[8,6,1,2,5,4,3,7]=>[7,6,3,4,5,2,8,1]
[4,8,6,1,5,3,2,7]=>[7,1,6,4,5,3,8,2]
[5,8,6,4,1,3,2,7]=>[1,7,5,6,4,3,8,2]
[8,3,6,4,5,2,1,7]=>[4,7,2,6,5,3,8,1]
[6,8,5,7,4,2,3,1]=>[1,6,3,8,7,5,4,2]
[2,3,8,7,1,6,4,5]=>[7,8,5,6,1,2,4,3]
[4,3,7,8,1,6,2,5]=>[1,7,8,2,5,3,6,4]
[3,5,8,7,4,1,2,6]=>[2,6,7,1,5,8,4,3]
[7,3,8,4,1,2,5,6]=>[2,5,6,4,7,1,8,3]
[4,8,1,2,7,3,5,6]=>[6,1,7,8,3,4,5,2]
[6,8,1,2,7,4,5,3]=>[6,8,7,3,1,4,5,2]
[5,6,8,4,1,3,7,2]=>[1,6,2,8,5,4,7,3]
[8,5,4,7,1,6,3,2]=>[3,2,8,7,5,6,4,1]
[2,5,8,7,3,6,4,1]=>[8,2,5,7,6,1,4,3]
[2,4,8,7,5,6,1,3]=>[7,5,8,2,6,1,4,3]
[3,7,4,8,5,6,2,1]=>[5,8,3,1,2,7,6,4]
[6,4,8,7,5,1,2,3]=>[2,6,1,7,8,5,4,3]
[3,8,5,2,4,6,7,1]=>[4,5,1,3,6,8,7,2]
[5,7,1,8,4,6,2,3]=>[1,7,5,8,6,3,2,4]
[6,3,8,7,2,1,4,5]=>[6,2,5,1,7,8,4,3]
[2,3,7,8,5,6,1,4]=>[7,5,3,8,1,2,6,4]
[3,7,6,8,5,1,2,4]=>[6,7,3,1,2,8,5,4]
[2,6,7,8,5,1,3,4]=>[6,2,7,3,8,1,5,4]
[2,4,7,8,1,6,3,5]=>[7,8,2,5,1,3,6,4]
[5,4,7,8,2,6,3,1]=>[1,8,2,5,3,7,6,4]
[2,8,3,4,1,5,7,6]=>[3,4,8,1,5,6,7,2]
[6,8,3,4,1,2,7,5]=>[3,8,5,4,1,6,7,2]
[6,8,7,1,5,2,3,4]=>[6,7,1,8,4,5,3,2]
[5,8,3,2,7,6,1,4]=>[3,1,7,8,4,6,5,2]
[2,5,3,1,8,6,7,4]=>[6,2,8,1,3,7,4,5]
[4,5,3,2,8,6,7,1]=>[1,3,2,6,8,4,7,5]
[3,5,8,6,1,4,7,2]=>[2,6,8,1,5,4,7,3]
[2,8,5,6,1,4,7,3]=>[6,3,8,5,1,4,7,2]
[4,8,6,1,5,2,7,3]=>[8,1,6,4,5,3,7,2]
[5,8,2,3,7,6,1,4]=>[7,1,8,3,4,6,5,2]
[4,6,8,5,3,2,7,1]=>[2,6,1,5,4,8,7,3]
[2,6,4,8,5,1,7,3]=>[8,3,2,6,1,5,7,4]
[7,6,4,8,5,2,1,3]=>[3,7,6,2,1,8,5,4]
[3,4,8,6,5,2,7,1]=>[6,5,1,2,4,8,7,3]
[3,4,8,7,5,6,2,1]=>[5,8,7,1,2,6,4,3]
[7,5,3,2,8,6,1,4]=>[3,7,2,8,4,1,6,5]
[2,5,1,3,8,6,7,4]=>[6,2,8,1,7,3,4,5]
[4,5,1,2,8,6,7,3]=>[1,6,2,8,7,3,4,5]
[5,4,8,1,3,6,7,2]=>[5,2,1,6,8,4,7,3]
[8,3,5,4,1,6,7,2]=>[6,2,4,3,8,5,7,1]
[7,3,4,8,5,6,1,2]=>[7,2,3,5,1,8,6,4]
[6,1,5,7,2,4,8,3]=>[6,3,8,5,2,1,4,7]
[7,4,5,1,2,3,8,6]=>[8,4,2,5,3,6,1,7]
[7,4,3,1,2,8,5,6]=>[7,3,2,8,4,5,1,6]
[8,4,7,6,2,1,5,3]=>[2,5,8,6,7,4,3,1]
[8,4,6,5,7,1,3,2]=>[8,2,6,4,3,7,5,1]
[7,2,1,4,5,8,3,6]=>[2,4,5,7,8,3,1,6]
[7,4,1,6,3,5,8,2]=>[5,2,6,4,8,3,1,7]
[3,5,7,6,4,1,8,2]=>[8,2,6,1,5,4,3,7]
[4,7,5,2,1,3,8,6]=>[1,4,8,5,3,6,2,7]
[5,7,2,3,6,4,8,1]=>[6,3,1,4,5,2,8,7]
[8,6,2,3,7,1,4,5]=>[3,4,6,7,2,8,5,1]
[5,7,2,4,8,3,6,1]=>[4,1,6,8,3,2,7,5]
[1,7,2,4,8,6,3,5]=>[7,8,4,6,3,1,2,5]
[7,6,1,5,4,8,3,2]=>[5,4,8,7,3,2,1,6]
[4,7,3,2,1,8,5,6]=>[1,4,3,7,8,5,2,6]
[3,1,7,2,5,8,4,6]=>[1,5,7,8,4,2,3,6]
[4,8,7,6,1,2,5,3]=>[8,1,5,6,7,4,3,2]
[7,8,6,1,3,2,5,4]=>[5,8,4,6,1,7,3,2]
[2,8,6,7,4,1,3,5]=>[6,7,5,3,8,1,4,2]
[5,8,6,4,2,3,1,7]=>[1,5,7,6,4,3,8,2]
[2,8,3,1,6,5,4,7]=>[7,3,6,1,4,5,8,2]
[3,8,1,2,5,7,4,6]=>[1,5,7,8,3,4,6,2]
[6,8,5,4,2,7,3,1]=>[1,8,5,4,3,7,6,2]
[6,8,3,1,2,4,5,7]=>[4,5,3,6,1,7,8,2]
[4,6,8,7,3,1,5,2]=>[2,8,1,6,5,7,4,3]
[6,5,3,7,8,4,1,2]=>[7,3,2,1,4,8,6,5]
[4,1,3,8,7,5,6,2]=>[1,6,8,7,3,5,2,4]
[6,2,7,4,8,1,3,5]=>[6,4,7,2,1,3,8,5]
[8,4,5,2,1,6,3,7]=>[4,2,7,5,3,6,8,1]
[4,3,2,6,8,1,7,5]=>[2,1,4,8,3,6,7,5]
[7,1,5,6,3,8,2,4]=>[5,3,7,4,8,2,1,6]
[5,1,2,4,7,8,3,6]=>[7,4,5,1,8,2,3,6]
[3,5,4,2,8,1,6,7]=>[4,1,3,2,6,7,8,5]
[5,1,3,8,4,2,7,6]=>[5,8,3,1,6,7,2,4]
[6,2,8,7,3,5,4,1]=>[8,5,1,7,6,2,4,3]
[7,1,8,4,3,6,5,2]=>[4,8,5,7,6,2,1,3]
[3,6,8,7,4,1,2,5]=>[6,2,7,1,5,8,4,3]
[5,6,8,1,7,3,2,4]=>[1,7,6,2,8,4,5,3]
[3,1,6,8,7,4,2,5]=>[3,7,1,6,8,5,2,4]
[7,4,6,8,2,1,5,3]=>[2,5,8,6,3,1,7,4]
[6,5,8,4,3,1,2,7]=>[6,2,1,7,5,4,8,3]
[2,5,8,3,6,7,4,1]=>[2,5,8,4,7,1,6,3]
[8,5,1,3,7,4,6,2]=>[6,8,4,2,7,3,5,1]
[1,5,8,3,7,4,2,6]=>[2,7,4,6,8,5,1,3]
[3,8,2,7,1,5,6,4]=>[6,8,1,3,5,7,4,2]
[5,8,2,3,6,4,1,7]=>[7,3,1,4,6,5,8,2]
[6,8,2,3,4,7,5,1]=>[8,3,4,1,5,7,6,2]
[3,5,8,7,4,2,6,1]=>[6,2,5,8,1,7,4,3]
[7,5,1,8,4,2,6,3]=>[8,6,5,2,7,3,1,4]
[3,6,8,5,2,7,4,1]=>[2,8,5,1,4,7,6,3]
[2,1,6,5,4,8,3,7]=>[5,4,1,3,7,8,2,6]
[2,1,7,8,4,6,5,3]=>[8,5,3,7,1,6,2,4]
[2,1,7,4,3,5,8,6]=>[4,8,1,5,6,2,3,7]
[3,5,7,8,4,6,1,2]=>[7,2,5,1,3,8,6,4]
[7,5,2,8,4,6,3,1]=>[5,2,8,7,3,1,6,4]
[8,6,2,3,5,7,1,4]=>[7,3,4,5,2,8,6,1]
[7,8,2,4,3,1,5,6]=>[6,3,5,4,7,1,8,2]
[7,6,3,8,1,5,4,2]=>[8,3,7,5,2,1,6,4]
[6,2,7,1,3,5,8,4]=>[6,8,2,4,1,5,3,7]
[6,1,8,2,3,5,4,7]=>[7,4,5,6,1,8,2,3]
[7,2,4,1,6,3,8,5]=>[3,8,2,6,4,5,1,7]
[8,4,3,1,7,5,2,6]=>[3,2,7,6,8,4,5,1]
[7,3,1,4,6,8,5,2]=>[2,5,8,4,7,3,1,6]
[7,3,8,5,2,6,4,1]=>[8,5,2,4,1,7,6,3]
[4,3,8,7,1,6,5,2]=>[8,1,7,2,5,6,4,3]
[4,7,1,8,5,2,6,3]=>[8,1,6,5,7,3,2,4]
[5,3,2,4,7,8,6,1]=>[2,5,1,8,3,4,7,6]
[5,3,4,2,8,7,1,6]=>[2,3,1,7,8,4,6,5]
[5,2,4,3,6,8,1,7]=>[4,2,3,1,5,7,8,6]
[3,8,6,5,4,1,2,7]=>[6,7,5,1,4,3,8,2]
[4,7,5,6,3,8,2,1]=>[3,5,1,4,2,8,7,6]
[4,8,5,7,2,3,1,6]=>[5,1,3,7,6,8,4,2]
[4,2,7,5,8,3,6,1]=>[1,4,6,3,8,2,7,5]
[3,8,5,7,1,4,6,2]=>[6,3,8,1,5,7,4,2]
[5,8,2,7,3,4,6,1]=>[5,1,6,8,3,7,4,2]
[6,8,2,5,4,3,1,7]=>[7,6,3,1,5,4,8,2]
[6,7,2,4,5,3,8,1]=>[4,6,3,1,5,2,8,7]
[5,7,2,8,3,6,1,4]=>[5,1,7,8,3,2,6,4]
[5,1,3,6,4,2,8,7]=>[5,3,4,1,8,2,6,7]
[5,1,8,7,4,6,2,3]=>[1,7,5,8,6,4,2,3]
[6,8,3,7,5,4,2,1]=>[1,8,7,3,6,5,4,2]
[6,1,3,4,7,5,8,2]=>[6,3,4,5,1,8,2,7]
[6,3,2,1,4,8,5,7]=>[3,2,7,8,4,1,5,6]
[6,2,3,1,4,7,8,5]=>[2,3,6,8,4,1,5,7]
[6,2,1,4,8,7,5,3]=>[8,7,2,4,1,6,3,5]
[6,2,8,3,5,7,4,1]=>[5,8,4,1,7,2,6,3]
[5,2,1,3,6,4,8,7]=>[2,5,8,3,1,4,6,7]
[7,1,8,3,5,4,6,2]=>[6,4,5,8,7,2,1,3]
[7,1,2,4,8,5,6,3]=>[6,8,4,7,2,3,1,5]
[7,1,3,2,4,8,6,5]=>[8,3,7,2,4,5,1,6]
[7,2,1,3,4,5,8,6]=>[2,8,3,4,5,6,1,7]
[8,7,3,5,4,2,1,6]=>[7,3,6,5,4,8,2,1]
[8,4,6,5,3,2,1,7]=>[7,2,6,5,4,3,8,1]
[5,1,6,4,3,2,8,7]=>[5,4,3,1,8,2,6,7]
[8,3,7,1,4,6,5,2]=>[8,2,5,7,4,6,3,1]
[2,8,3,6,4,7,5,1]=>[8,5,3,4,7,1,6,2]
[6,2,1,7,5,8,3,4]=>[7,5,2,4,1,8,3,6]
[6,3,8,7,5,2,1,4]=>[7,6,1,8,2,5,4,3]
[6,7,2,1,5,8,4,3]=>[5,8,3,1,7,4,2,6]
[7,6,8,1,5,4,3,2]=>[8,7,6,4,2,1,5,3]
[5,4,8,7,6,1,3,2]=>[1,8,2,6,7,5,4,3]
[7,6,1,8,5,4,3,2]=>[8,7,6,5,3,2,1,4]
[6,5,8,1,7,4,3,2]=>[2,1,8,7,6,4,5,3]
[6,5,8,7,4,1,3,2]=>[2,1,8,6,7,5,4,3]
[1,6,4,8,3,2,5,7]=>[3,6,5,2,7,8,1,4]
[1,8,3,5,6,2,4,7]=>[6,3,4,7,5,8,1,2]
[1,4,8,5,6,2,3,7]=>[6,2,4,7,5,8,1,3]
[1,2,8,5,3,7,4,6]=>[7,4,8,5,6,1,2,3]
[6,1,4,8,2,3,5,7]=>[5,3,6,7,1,8,2,4]
[8,7,2,5,6,1,4,3]=>[8,6,3,4,7,5,2,1]
[1,8,2,5,4,7,3,6]=>[5,4,7,8,3,6,1,2]
[5,7,4,1,2,3,8,6]=>[8,4,1,5,3,6,2,7]
[1,7,4,2,5,3,8,6]=>[5,3,8,4,6,1,2,7]
[6,7,4,2,1,3,8,5]=>[4,8,5,3,1,6,2,7]
[6,4,3,8,5,7,1,2]=>[2,7,3,1,5,8,6,4]
[7,4,3,6,2,1,5,8]=>[3,2,6,5,7,4,1,8]
[7,2,5,3,4,1,6,8]=>[4,6,2,5,3,7,1,8]
[8,3,7,4,5,6,1,2]=>[4,7,2,5,8,6,3,1]
[2,7,4,3,1,5,6,8]=>[5,4,1,3,6,7,2,8]
[6,8,4,2,3,1,5,7]=>[4,6,5,3,1,7,8,2]
[3,7,5,2,4,1,6,8]=>[4,6,1,5,3,7,2,8]
[7,1,3,2,8,4,5,6]=>[3,6,7,8,2,4,1,5]
[2,1,7,4,8,3,5,6]=>[4,6,7,1,3,8,2,5]
[5,2,8,6,1,3,4,7]=>[5,6,1,7,2,4,8,3]
[2,8,3,1,4,5,6,7]=>[4,1,3,5,6,7,8,2]
[7,4,8,2,3,1,5,6]=>[4,2,6,5,7,1,8,3]
[4,2,7,3,1,5,6,8]=>[5,2,1,4,6,7,3,8]
[8,3,7,2,1,4,5,6]=>[2,5,4,6,7,8,3,1]
[6,5,2,4,7,1,3,8]=>[6,3,4,2,1,7,5,8]
[6,5,7,4,1,8,2,3]=>[7,2,1,8,5,4,3,6]
[7,6,4,5,1,8,2,3]=>[7,3,8,5,4,2,1,6]
[8,6,4,1,3,7,2,5]=>[5,7,3,8,4,2,6,1]
[6,4,3,1,8,2,5,7]=>[6,3,2,7,1,8,4,5]
[7,4,1,2,8,3,5,6]=>[6,7,2,8,3,4,1,5]
[4,8,1,3,5,7,2,6]=>[4,1,5,7,8,3,6,2]
[7,8,4,1,3,6,2,5]=>[5,7,3,8,4,1,6,2]
[6,5,8,1,3,7,2,4]=>[5,7,2,1,8,4,6,3]
[5,3,6,1,8,2,4,7]=>[2,6,1,7,3,8,4,5]
[4,7,3,1,8,2,5,6]=>[1,6,3,7,8,4,2,5]
[8,3,1,7,2,4,5,6]=>[5,2,6,7,8,3,4,1]
[2,8,1,4,7,3,5,6]=>[4,6,7,8,1,3,5,2]
[3,1,8,5,4,7,6,2]=>[4,8,1,5,7,6,2,3]
[4,1,5,8,3,7,6,2]=>[1,8,3,5,7,6,2,4]
[4,1,5,3,8,7,6,2]=>[1,8,3,7,4,6,2,5]
[4,5,1,8,2,7,6,3]=>[1,2,8,7,5,6,3,4]
[4,8,5,3,1,7,6,2]=>[4,1,3,8,7,5,6,2]
[4,5,2,8,1,7,6,3]=>[1,2,8,7,3,5,6,4]
[4,5,2,1,8,7,6,3]=>[1,2,8,7,3,6,4,5]
[5,6,2,7,8,1,4,3]=>[1,8,6,3,2,4,7,5]
[4,6,2,8,7,1,5,3]=>[8,1,6,2,7,3,5,4]
[4,8,6,3,7,1,5,2]=>[4,8,1,6,3,7,5,2]
[4,8,6,3,7,5,1,2]=>[4,7,1,3,8,6,5,2]
[4,6,8,2,7,5,1,3]=>[7,1,2,8,4,6,5,3]
[4,6,2,8,7,5,1,3]=>[7,1,2,8,6,3,5,4]
[5,6,2,7,4,1,8,3]=>[1,8,6,3,2,5,4,7]
[5,6,7,2,3,1,8,4]=>[4,1,5,2,8,6,3,7]
[5,6,7,2,8,3,1,4]=>[1,7,4,2,6,3,8,5]
[5,6,7,2,1,8,3,4]=>[4,1,7,2,8,5,3,6]
[5,6,7,2,1,3,8,4]=>[4,1,8,5,2,6,3,7]
[5,6,1,7,8,2,4,3]=>[1,8,6,4,2,7,3,5]
[5,6,1,7,2,4,8,3]=>[6,1,8,5,3,2,4,7]
[5,1,6,7,8,3,4,2]=>[3,1,6,4,8,7,2,5]
[4,1,6,8,7,3,5,2]=>[1,3,6,8,7,5,2,4]
[3,1,8,6,7,5,4,2]=>[4,8,7,1,6,5,2,3]
[4,1,6,8,7,5,3,2]=>[8,1,3,7,6,5,2,4]
[5,1,6,7,4,8,3,2]=>[3,1,5,4,8,7,2,6]
[5,6,1,7,8,4,2,3]=>[1,7,4,2,8,6,3,5]
[4,6,8,1,7,5,2,3]=>[7,1,2,8,6,4,5,3]
[4,8,6,1,7,5,3,2]=>[8,7,1,6,4,3,5,2]
[5,6,7,1,8,3,2,4]=>[1,7,6,2,8,4,3,5]
[5,6,7,1,3,8,2,4]=>[5,1,7,2,8,4,3,6]
[5,6,7,1,3,2,8,4]=>[5,1,8,4,2,6,3,7]
[5,6,7,3,1,2,8,4]=>[1,8,5,4,2,6,3,7]
[5,6,7,3,8,1,2,4]=>[1,6,4,2,7,3,8,5]
[5,6,8,7,4,2,1,3]=>[1,2,7,6,8,5,4,3]
[5,6,7,3,8,2,1,4]=>[1,4,2,7,6,3,8,5]
[7,4,6,2,3,5,1,8]=>[4,2,5,7,6,3,1,8]
[1,4,8,6,3,2,5,7]=>[6,2,5,7,4,8,1,3]
[7,4,1,6,3,8,5,2]=>[2,8,5,4,7,3,1,6]
[7,6,3,1,5,8,4,2]=>[3,5,8,7,4,2,1,6]
[6,4,2,5,7,3,1,8]=>[4,2,7,3,1,6,5,8]
[4,2,5,7,6,3,1,8]=>[1,7,3,6,2,5,4,8]
[7,4,5,6,1,8,3,2]=>[2,3,8,7,5,4,1,6]
[4,1,5,8,6,3,2,7]=>[1,7,3,6,5,8,2,4]
[3,2,7,6,1,8,5,4]=>[8,7,1,5,2,4,3,6]
[4,7,5,1,6,8,2,3]=>[7,1,5,3,8,4,2,6]
[8,6,5,1,2,7,4,3]=>[8,7,4,5,3,2,6,1]
[3,2,5,1,4,8,7,6]=>[1,3,8,2,7,4,5,6]
[8,5,4,1,3,2,7,6]=>[5,8,4,3,2,6,7,1]
[1,4,2,3,6,8,7,5]=>[2,8,5,7,1,3,4,6]
[5,4,8,3,7,1,6,2]=>[2,1,4,8,6,7,5,3]
[4,7,1,8,2,5,3,6]=>[1,7,5,6,8,3,2,4]
[6,4,1,8,5,3,7,2]=>[2,6,5,1,8,7,3,4]
[8,4,6,1,3,5,2,7]=>[5,2,7,4,6,3,8,1]
[3,2,5,4,7,8,1,6]=>[1,3,7,2,4,5,8,6]
[5,2,4,3,7,8,1,6]=>[3,7,2,1,4,5,8,6]
[8,1,6,7,2,5,3,4]=>[7,8,5,3,6,2,4,1]
[3,1,7,6,5,8,2,4]=>[7,5,1,4,3,8,2,6]
[1,2,7,5,6,8,3,4]=>[4,7,5,3,8,1,2,6]
[6,1,4,7,2,8,3,5]=>[3,7,8,5,2,1,4,6]
[3,2,1,7,6,8,4,5]=>[7,1,5,2,4,8,3,6]
[3,2,8,6,4,7,1,5]=>[5,7,1,4,8,2,6,3]
[7,8,4,6,3,2,1,5]=>[3,7,6,5,1,8,4,2]
[1,8,6,5,3,7,2,4]=>[5,7,4,3,8,6,1,2]
[8,2,5,3,6,7,1,4]=>[7,4,2,3,5,8,6,1]
[3,8,5,2,7,6,1,4]=>[7,3,8,1,4,6,5,2]
[4,7,5,3,1,8,6,2]=>[4,1,3,8,7,5,2,6]
[4,5,3,6,8,1,7,2]=>[1,3,2,4,8,6,7,5]
[3,5,2,6,1,8,7,4]=>[4,1,2,8,3,7,5,6]
[1,6,3,5,7,2,8,4]=>[4,8,3,2,6,1,5,7]
[1,5,4,6,7,8,2,3]=>[3,2,4,7,5,8,1,6]
[8,4,6,5,7,2,1,3]=>[7,2,6,4,3,8,5,1]
[7,4,5,2,6,8,1,3]=>[2,7,4,3,5,1,8,6]
[5,4,2,6,8,7,1,3]=>[4,2,1,7,8,3,6,5]
[7,8,4,3,1,2,6,5]=>[8,5,4,3,6,1,7,2]
[6,5,1,4,3,2,8,7]=>[5,4,8,3,2,1,6,7]
[2,6,5,1,4,7,3,8]=>[5,7,4,1,3,2,6,8]
[3,6,4,5,2,1,8,7]=>[3,5,1,4,2,8,6,7]
[5,7,4,1,3,8,6,2]=>[1,8,5,3,7,4,2,6]
[7,5,4,2,3,8,1,6]=>[4,5,3,2,7,1,8,6]
[5,2,6,7,3,1,4,8]=>[6,5,2,1,3,7,4,8]
[2,4,3,8,6,1,5,7]=>[2,6,7,1,3,5,8,4]
[7,8,1,3,5,6,2,4]=>[7,4,5,8,3,1,6,2]
[7,8,3,1,5,6,2,4]=>[3,7,5,8,4,1,6,2]
[7,1,3,8,5,6,2,4]=>[7,5,8,3,6,2,1,4]
[1,7,8,3,5,6,2,4]=>[7,4,5,2,8,6,1,3]
[5,1,7,8,3,4,6,2]=>[5,1,6,3,8,7,2,4]
[1,5,7,8,3,4,6,2]=>[2,5,6,3,8,7,1,4]
[3,7,1,5,8,6,2,4]=>[4,7,8,1,6,3,2,5]
[1,3,7,8,2,5,6,4]=>[6,8,5,2,3,7,1,4]
[3,1,7,8,5,2,6,4]=>[8,6,1,5,3,7,2,4]
[1,3,7,5,8,2,6,4]=>[4,8,6,2,3,7,1,5]
[3,1,7,5,8,2,6,4]=>[4,8,1,6,3,7,2,5]
[3,5,7,1,8,4,6,2]=>[2,6,8,1,7,4,3,5]
[3,5,7,8,1,4,6,2]=>[2,6,8,1,5,3,7,4]
[5,3,7,8,4,6,1,2]=>[1,7,5,2,3,8,6,4]
[5,3,7,8,4,1,6,2]=>[1,8,6,2,5,3,7,4]
[5,3,7,8,1,4,6,2]=>[6,1,8,2,5,3,7,4]
[5,3,7,1,8,4,6,2]=>[6,1,8,2,7,4,3,5]
[1,5,3,7,8,4,2,6]=>[2,7,6,3,4,8,1,5]
[5,1,3,7,8,4,2,6]=>[7,6,3,1,4,8,2,5]
[3,6,2,1,4,5,8,7]=>[1,3,8,4,5,2,6,7]
[4,6,2,5,1,3,8,7]=>[1,8,3,5,4,2,6,7]
[6,4,2,5,1,3,8,7]=>[8,3,2,5,4,1,6,7]
[8,6,1,7,3,2,4,5]=>[6,5,7,8,3,2,4,1]
[2,5,8,1,7,3,4,6]=>[6,2,7,8,1,4,5,3]
[6,8,2,7,3,1,4,5]=>[6,3,5,1,7,8,4,2]
[6,8,2,3,7,1,4,5]=>[3,4,6,1,7,8,5,2]
[8,6,2,7,4,5,1,3]=>[7,5,8,3,2,6,4,1]
[5,2,8,1,7,3,4,6]=>[6,7,1,8,2,4,5,3]
[4,2,3,8,1,5,6,7]=>[2,3,1,5,6,7,8,4]
[5,2,8,3,7,1,4,6]=>[4,6,1,7,8,2,5,3]
[5,2,8,4,6,1,3,7]=>[6,4,1,7,2,5,8,3]
[2,1,5,8,4,3,6,7]=>[3,6,1,5,7,8,2,4]
[5,8,3,2,7,1,4,6]=>[4,3,1,6,7,8,5,2]
[4,1,3,8,2,5,6,7]=>[3,5,1,6,7,8,2,4]
[3,5,8,2,7,1,4,6]=>[4,1,2,6,7,8,5,3]
[4,5,8,2,6,1,3,7]=>[1,4,2,6,7,5,8,3]
[2,6,8,3,7,1,4,5]=>[4,6,2,7,8,1,5,3]
[5,1,8,3,7,2,4,6]=>[4,6,1,7,8,5,2,3]
[5,1,8,4,6,2,3,7]=>[6,4,1,7,5,8,2,3]
[5,8,4,1,6,2,3,7]=>[6,1,7,4,3,5,8,2]
[4,5,8,1,6,2,3,7]=>[1,6,2,7,4,5,8,3]
[5,4,8,1,6,2,3,7]=>[6,2,1,7,4,5,8,3]
[4,8,5,1,6,2,3,7]=>[1,6,7,4,3,5,8,2]
[2,1,5,4,8,3,6,7]=>[4,1,3,6,7,8,2,5]
[2,4,3,8,1,5,6,7]=>[3,1,2,5,6,7,8,4]
[3,1,8,4,2,5,6,7]=>[1,5,4,6,7,8,2,3]
[3,8,4,2,1,5,6,7]=>[5,1,4,3,6,7,8,2]
[2,3,8,4,1,5,6,7]=>[5,1,2,4,6,7,8,3]
[3,4,2,8,1,5,6,7]=>[1,3,2,5,6,7,8,4]
[3,8,5,2,7,1,4,6]=>[4,6,1,3,7,8,5,2]
[4,8,5,2,6,1,3,7]=>[1,4,6,3,7,5,8,2]
[2,1,4,8,5,3,6,7]=>[6,1,3,5,7,8,2,4]
[3,2,8,4,1,5,6,7]=>[1,5,2,4,6,7,8,3]
[2,8,4,3,1,5,6,7]=>[5,4,1,3,6,7,8,2]
[4,1,7,5,6,2,8,3]=>[1,4,8,6,5,2,3,7]
[5,7,4,3,8,1,6,2]=>[1,4,3,8,6,2,7,5]
[5,7,4,3,8,2,6,1]=>[1,4,3,6,2,8,7,5]
[3,8,4,2,6,7,5,1]=>[3,5,8,1,4,7,6,2]
[3,8,4,1,6,7,5,2]=>[3,5,8,1,7,4,6,2]
[6,1,7,5,2,8,4,3]=>[8,7,5,4,2,1,3,6]
[5,6,4,3,2,8,1,7]=>[1,5,4,3,2,7,8,6]
[2,6,7,5,3,8,4,1]=>[2,8,5,4,1,3,7,6]
[6,7,4,8,2,5,3,1]=>[3,1,8,5,2,7,6,4]
[2,1,6,7,5,3,8,4]=>[3,8,6,1,5,2,4,7]
[3,8,4,2,1,6,7,5]=>[4,1,3,6,8,5,7,2]
[5,7,4,3,8,2,1,6]=>[1,4,3,7,6,2,8,5]
[6,7,4,8,1,2,5,3]=>[8,5,3,1,6,2,7,4]
[6,7,5,8,1,2,4,3]=>[8,5,1,6,3,2,7,4]
[6,7,4,8,3,1,2,5]=>[6,3,1,7,5,2,8,4]
[3,4,8,1,2,5,7,6]=>[1,2,8,4,5,6,7,3]
[6,1,3,4,8,2,5,7]=>[3,4,6,7,1,8,2,5]
[6,2,3,4,8,1,5,7]=>[2,3,4,6,1,7,8,5]
[3,4,8,2,1,5,7,6]=>[1,2,4,8,5,6,7,3]
[6,7,5,8,2,4,3,1]=>[1,8,5,3,2,7,6,4]
[6,7,5,8,3,1,4,2]=>[1,8,6,5,3,2,7,4]
[3,4,8,1,5,7,6,2]=>[8,1,2,5,7,4,6,3]
[2,5,7,6,1,4,8,3]=>[2,6,8,5,1,4,3,7]
[6,7,4,8,2,3,5,1]=>[5,3,1,6,2,8,7,4]
[6,7,4,8,1,3,5,2]=>[6,3,1,8,5,2,7,4]
[2,6,7,5,1,3,8,4]=>[8,5,2,6,1,4,3,7]
[6,3,1,4,8,2,5,7]=>[4,2,6,7,1,8,3,5]
[6,7,4,8,1,3,2,5]=>[7,5,3,1,6,2,8,4]
[6,7,5,8,4,1,3,2]=>[1,8,6,3,2,7,5,4]
[6,7,4,8,2,1,3,5]=>[6,5,3,1,7,2,8,4]
[6,7,4,8,1,2,3,5]=>[5,6,3,1,7,2,8,4]
[1,5,6,3,4,8,2,7]=>[4,2,5,3,7,8,1,6]
[1,4,3,6,5,8,2,7]=>[2,5,3,4,7,8,1,6]
[8,1,3,4,7,2,6,5]=>[8,3,4,6,7,2,5,1]
[5,1,7,3,4,8,2,6]=>[4,5,1,7,3,8,2,6]
[6,7,8,2,3,5,4,1]=>[8,4,1,5,2,7,6,3]
[5,8,6,2,3,7,4,1]=>[1,8,4,5,3,7,6,2]
[2,8,3,4,7,5,6,1]=>[6,8,3,4,7,1,5,2]
[1,8,3,4,7,6,2,5]=>[7,8,3,4,6,5,1,2]
[8,7,2,3,6,5,4,1]=>[8,7,3,4,6,5,2,1]
[3,8,1,7,5,2,6,4]=>[8,6,1,5,7,3,4,2]
[4,8,1,6,7,2,5,3]=>[8,1,6,4,7,3,5,2]
[2,1,3,8,4,6,5,7]=>[7,1,5,6,8,2,3,4]
[8,2,1,7,4,3,6,5]=>[5,8,2,6,7,3,4,1]
[1,3,2,8,5,4,6,7]=>[6,2,5,7,8,1,3,4]
[8,3,1,5,7,2,6,4]=>[2,4,8,6,7,3,5,1]
[8,4,5,1,7,2,6,3]=>[2,8,6,3,7,4,5,1]
[1,5,6,8,7,4,2,3]=>[2,3,7,8,6,5,1,4]
[8,4,5,7,6,3,2,1]=>[8,2,3,7,6,5,4,1]
[1,4,8,5,7,6,2,3]=>[4,7,8,2,6,5,1,3]
[2,4,8,5,7,3,6,1]=>[4,6,8,2,7,1,5,3]
[4,3,8,6,5,7,2,1]=>[5,1,4,8,2,7,6,3]
[6,7,2,8,5,3,4,1]=>[6,1,8,7,3,2,5,4]
[5,2,7,8,6,3,4,1]=>[1,6,3,8,7,2,5,4]
[4,2,8,6,7,3,5,1]=>[6,1,4,8,7,2,5,3]
[3,2,8,7,5,4,6,1]=>[6,5,8,1,7,2,4,3]
[3,1,8,7,5,6,2,4]=>[7,5,8,1,6,4,2,3]
[4,1,8,6,7,5,2,3]=>[7,1,4,8,6,5,2,3]
[5,1,7,8,6,4,2,3]=>[1,7,3,8,6,5,2,4]
[6,7,1,8,5,4,2,3]=>[7,1,8,6,5,3,2,4]
[7,8,3,2,6,1,4,5]=>[4,3,6,7,1,8,5,2]
[3,4,8,2,6,1,7,5]=>[8,1,2,4,6,5,7,3]
[7,8,4,1,5,6,3,2]=>[5,3,8,7,4,1,6,2]
[7,8,1,4,5,6,3,2]=>[4,5,8,7,3,1,6,2]
[7,8,1,2,6,3,4,5]=>[6,7,8,3,4,1,5,2]
[7,8,5,1,4,6,3,2]=>[5,8,7,4,3,1,6,2]
[7,8,4,5,1,6,3,2]=>[3,8,7,5,4,1,6,2]
[5,3,8,4,1,6,7,2]=>[6,2,1,4,8,5,7,3]
[6,2,4,8,1,5,3,7]=>[3,7,2,5,1,6,8,4]
[3,4,8,5,1,6,7,2]=>[6,1,2,4,8,5,7,3]
[3,5,8,1,4,6,7,2]=>[5,1,2,6,8,4,7,3]
[1,4,8,2,6,3,7,5]=>[8,2,6,4,5,7,1,3]
[5,3,8,1,4,6,7,2]=>[2,5,1,6,8,4,7,3]
[4,2,6,8,1,5,3,7]=>[1,7,5,2,3,6,8,4]
[7,4,2,8,1,5,3,6]=>[7,3,2,5,6,1,8,4]
[6,1,7,5,8,4,3,2]=>[4,3,1,8,7,6,2,5]
[6,2,1,8,4,5,3,7]=>[5,7,2,6,1,8,3,4]
[1,2,7,8,5,3,4,6]=>[6,7,5,3,8,1,2,4]
[6,3,7,8,5,4,1,2]=>[7,3,1,8,2,6,5,4]
[6,1,5,7,8,4,3,2]=>[3,4,1,8,7,6,2,5]
[1,7,5,6,8,4,3,2]=>[3,4,2,8,7,6,1,5]
[3,1,8,4,5,6,7,2]=>[1,4,5,6,8,7,2,3]
[2,1,4,8,6,5,3,7]=>[7,6,1,3,5,8,2,4]
[2,4,1,8,6,5,3,7]=>[7,2,6,1,5,8,3,4]
[4,2,1,8,6,5,3,7]=>[1,7,6,2,5,8,3,4]
[3,2,7,8,5,1,4,6]=>[6,7,1,5,2,3,8,4]
[2,3,7,8,5,1,4,6]=>[6,7,5,1,2,3,8,4]
[2,7,3,8,5,1,4,6]=>[6,7,3,5,1,2,8,4]
[3,6,2,8,5,1,4,7]=>[6,7,1,3,2,5,8,4]
[4,1,2,8,7,5,3,6]=>[1,7,6,8,5,2,3,4]
[1,4,2,8,7,5,3,6]=>[7,2,6,8,5,1,3,4]
[7,3,6,8,5,4,1,2]=>[7,3,8,2,1,6,5,4]
[7,2,1,8,5,3,4,6]=>[6,7,2,5,8,3,1,4]
[1,2,6,8,4,5,3,7]=>[5,3,7,6,8,1,2,4]
[7,1,6,5,8,4,3,2]=>[4,3,8,7,6,2,1,5]
[6,5,7,1,8,4,3,2]=>[2,1,8,7,6,4,3,5]
[5,7,6,1,8,4,3,2]=>[8,1,7,6,4,3,2,5]
[6,7,1,5,8,4,3,2]=>[4,1,8,7,6,3,2,5]
[6,7,3,8,5,4,1,2]=>[7,1,8,3,2,6,5,4]
[7,1,2,8,4,5,3,6]=>[5,7,6,8,2,3,1,4]
[7,6,1,5,8,4,3,2]=>[4,8,7,6,3,2,1,5]
[7,5,6,1,8,4,3,2]=>[2,8,7,6,4,3,1,5]
[7,1,6,5,3,2,4,8]=>[6,5,7,4,2,3,1,8]
[1,8,7,5,3,2,4,6]=>[6,5,7,4,8,3,1,2]
[1,8,7,4,2,5,3,6]=>[7,5,4,6,8,3,1,2]
[8,7,4,2,5,3,6,1]=>[6,4,3,5,8,7,2,1]
[7,1,6,4,2,5,3,8]=>[7,5,4,6,2,3,1,8]
[2,6,5,4,7,1,3,8]=>[6,4,3,1,2,7,5,8]
[7,1,5,3,6,4,2,8]=>[7,4,3,6,2,5,1,8]
[5,3,7,1,6,4,2,8]=>[7,2,1,6,4,5,3,8]
[5,3,6,4,2,7,1,8]=>[5,2,1,4,3,7,6,8]
[1,5,3,8,7,4,2,6]=>[2,7,6,8,3,5,1,4]
[7,4,2,8,6,3,5,1]=>[2,6,8,7,3,1,5,4]
[5,3,6,1,8,7,4,2]=>[3,1,8,2,7,6,4,5]
[6,1,5,3,8,7,4,2]=>[3,8,7,4,1,6,2,5]
[2,8,7,5,4,6,1,3]=>[7,5,4,8,6,1,3,2]
[2,3,1,8,7,5,4,6]=>[7,6,8,1,2,5,3,4]
[5,3,8,7,4,2,1,6]=>[1,7,6,2,5,8,4,3]
[7,4,2,1,8,6,3,5]=>[7,2,8,3,6,4,1,5]
[8,6,3,5,7,4,2,1]=>[4,8,3,2,7,6,5,1]
[1,8,6,3,5,7,4,2]=>[5,8,4,3,7,6,1,2]
[6,3,8,5,2,1,7,4]=>[5,8,2,1,6,4,7,3]
[8,6,3,7,4,2,1,5]=>[7,3,6,5,2,8,4,1]
[2,8,6,4,7,5,1,3]=>[4,7,3,8,6,1,5,2]
[5,1,8,6,3,7,4,2]=>[1,8,5,4,7,6,2,3]
[6,3,7,4,1,8,5,2]=>[4,8,2,1,7,5,3,6]
[8,5,2,6,3,7,4,1]=>[8,5,3,2,4,7,6,1]
[6,1,8,7,4,2,5,3]=>[8,6,5,1,7,4,2,3]
[8,6,3,7,4,2,5,1]=>[6,3,5,2,8,7,4,1]
[1,8,6,3,2,4,7,5]=>[4,8,5,6,3,7,1,2]
[8,6,3,2,4,7,5,1]=>[3,8,4,5,2,7,6,1]
[7,5,1,8,6,3,2,4]=>[7,6,2,8,5,3,1,4]
[6,1,8,7,5,3,2,4]=>[7,6,1,8,5,4,2,3]
[4,3,2,8,7,6,1,5]=>[1,7,8,2,6,3,5,4]
[2,4,5,1,3,8,7,6]=>[2,3,8,1,7,4,5,6]
[7,5,8,6,3,2,4,1]=>[2,6,5,1,8,7,4,3]
[1,7,5,8,6,3,2,4]=>[3,7,6,2,8,5,1,4]
[1,7,4,2,5,8,6,3]=>[3,8,5,7,4,1,2,6]
[8,6,3,1,7,4,2,5]=>[3,7,6,8,4,2,5,1]
[8,7,4,2,5,3,1,6]=>[7,4,3,6,5,8,2,1]
[5,3,1,8,7,4,2,6]=>[7,2,1,6,8,5,3,4]
[4,1,8,7,5,3,2,6]=>[7,1,6,5,8,4,2,3]
[2,8,6,4,1,3,7,5]=>[8,5,4,6,1,3,7,2]
[4,1,8,6,3,2,7,5]=>[1,5,8,6,4,7,2,3]
[7,4,2,8,6,3,1,5]=>[2,7,6,8,3,1,5,4]
[6,3,1,8,5,2,7,4]=>[8,2,6,5,1,7,3,4]
[8,5,2,6,3,1,7,4]=>[5,8,3,2,6,4,7,1]
[7,4,8,5,2,6,3,1]=>[8,2,5,4,1,7,6,3]
[1,8,5,2,7,4,6,3]=>[6,3,8,7,4,5,1,2]
[8,5,2,7,4,6,3,1]=>[5,2,8,7,3,6,4,1]
[7,4,6,3,1,8,5,2]=>[2,4,8,7,5,3,1,6]
[6,3,1,7,4,8,5,2]=>[8,2,5,4,1,7,3,6]
[8,6,3,1,5,7,4,2]=>[3,5,8,7,4,2,6,1]
[4,1,7,5,8,6,3,2]=>[8,1,4,3,7,6,2,5]
[2,3,1,7,5,8,6,4]=>[8,5,1,2,4,7,3,6]
[7,4,8,5,2,1,6,3]=>[2,5,8,6,4,1,7,3]
[8,5,2,1,7,4,6,3]=>[6,8,3,2,7,4,5,1]
[1,7,4,6,3,8,5,2]=>[8,3,5,4,2,7,1,6]
[3,6,5,2,1,4,8,7]=>[4,8,1,5,3,2,6,7]
[3,5,6,2,1,4,8,7]=>[4,1,2,8,5,3,6,7]
[3,5,7,8,1,4,2,6]=>[2,7,1,5,6,3,8,4]
[4,1,8,5,7,3,2,6]=>[1,4,7,6,8,5,2,3]
[4,1,7,5,8,3,2,6]=>[1,4,7,6,3,8,2,5]
[2,1,5,8,7,4,3,6]=>[7,3,6,8,1,5,2,4]
[2,1,5,7,8,4,3,6]=>[7,3,6,1,4,8,2,5]
[5,1,7,4,8,3,2,6]=>[4,1,7,6,3,8,2,5]
[4,7,2,8,3,6,1,5]=>[1,5,7,8,3,2,6,4]
[4,6,2,7,3,1,8,5]=>[1,5,8,3,2,6,4,7]
[3,7,8,2,4,1,6,5]=>[4,5,8,1,6,2,7,3]
[3,8,7,2,4,1,6,5]=>[4,5,8,1,6,7,3,2]
[3,8,6,2,4,1,7,5]=>[4,5,8,1,6,3,7,2]
[6,2,8,4,1,7,3,5]=>[7,4,8,2,1,5,6,3]
[7,3,4,8,1,6,2,5]=>[2,3,7,8,5,1,6,4]
[6,3,4,8,1,7,2,5]=>[2,3,7,1,8,5,6,4]
[5,3,4,8,1,2,7,6]=>[2,3,1,8,5,6,7,4]
[4,3,5,8,1,2,7,6]=>[2,1,3,8,5,6,7,4]
[1,8,5,4,2,3,7,6]=>[8,5,4,3,6,7,1,2]
[3,5,4,8,1,2,7,6]=>[3,1,2,8,5,6,7,4]
[4,5,3,8,1,2,7,6]=>[1,3,2,8,5,6,7,4]
[6,4,3,8,1,7,2,5]=>[3,2,7,1,8,5,6,4]
[7,4,3,8,1,6,2,5]=>[3,2,7,8,5,1,6,4]
[6,5,3,8,7,1,2,4]=>[3,6,2,1,7,8,5,4]
[5,6,3,8,7,1,2,4]=>[3,1,6,2,7,8,5,4]
[4,6,3,8,1,7,2,5]=>[1,3,7,2,8,5,6,4]
[2,6,8,4,1,7,3,5]=>[7,4,2,8,1,5,6,3]
[1,8,7,4,2,6,3,5]=>[7,4,8,5,6,3,1,2]
[5,7,3,8,6,1,2,4]=>[3,1,6,7,2,8,5,4]
[3,7,5,8,6,1,2,4]=>[6,3,7,1,2,8,5,4]
[2,7,8,5,6,1,3,4]=>[6,7,4,2,8,1,5,3]
[1,8,7,5,6,2,3,4]=>[6,7,4,8,5,3,1,2]
[2,6,8,5,7,1,3,4]=>[6,2,7,4,8,1,5,3]
[5,3,6,8,7,1,2,4]=>[6,2,1,3,7,8,5,4]
[6,3,5,8,7,1,2,4]=>[6,2,3,1,7,8,5,4]
[7,2,8,5,6,1,3,4]=>[6,7,4,8,2,1,5,3]
[5,2,8,6,7,1,3,4]=>[6,1,7,4,8,2,5,3]
[1,8,3,2,7,6,4,5]=>[7,8,3,6,4,5,1,2]
[5,2,8,7,6,1,3,4]=>[6,1,7,8,5,2,4,3]
[6,2,8,7,5,1,3,4]=>[6,7,1,8,5,2,4,3]
[3,4,7,8,1,6,2,5]=>[7,8,1,2,5,3,6,4]
[1,8,5,7,6,2,3,4]=>[6,3,7,8,5,4,1,2]
[2,5,8,7,6,1,3,4]=>[2,6,7,8,5,1,4,3]
[7,4,6,5,8,1,2,3]=>[2,6,7,4,3,1,8,5]
[3,6,7,8,5,1,2,4]=>[6,2,7,1,3,8,5,4]
[2,6,8,7,5,1,3,4]=>[6,2,7,8,5,1,4,3]
[1,8,6,7,5,2,3,4]=>[6,7,3,8,5,4,1,2]
[2,7,8,6,5,1,3,4]=>[6,7,2,8,5,1,4,3]
[5,7,6,4,8,1,2,3]=>[1,6,7,4,3,2,8,5]
[6,3,8,7,5,1,2,4]=>[6,7,1,8,2,5,4,3]
[2,8,7,4,1,3,5,6]=>[5,6,4,7,8,1,3,2]
[5,4,8,7,1,3,2,6]=>[2,1,7,5,6,8,4,3]
[4,8,6,1,3,2,5,7]=>[1,6,4,5,7,3,8,2]
[5,4,2,7,6,8,1,3]=>[2,1,7,5,3,4,8,6]
[2,8,7,1,4,5,3,6]=>[5,7,4,6,8,1,3,2]
[4,2,1,8,7,3,5,6]=>[6,1,7,8,2,5,3,4]
[5,1,6,3,2,8,7,4]=>[8,4,3,1,7,2,5,6]
[4,6,1,8,7,3,2,5]=>[7,1,6,2,8,5,3,4]
[8,7,2,3,5,4,1,6]=>[7,3,4,6,5,8,2,1]
[5,3,1,4,8,7,2,6]=>[2,7,1,8,4,6,3,5]
[4,3,5,2,8,7,1,6]=>[2,1,3,7,8,4,6,5]
[3,4,2,8,6,1,5,7]=>[1,2,6,7,3,5,8,4]
[3,7,6,8,1,5,2,4]=>[7,8,5,1,3,2,6,4]
[8,1,4,2,3,6,7,5]=>[6,3,8,2,4,5,7,1]
[3,7,2,1,8,6,4,5]=>[7,8,1,3,6,4,2,5]
[2,8,6,1,7,3,5,4]=>[8,6,7,4,1,3,5,2]
[1,7,6,3,5,8,2,4]=>[7,4,5,3,2,8,1,6]
[3,7,5,1,6,8,2,4]=>[7,5,1,3,8,4,2,6]
[3,6,5,8,1,4,7,2]=>[6,3,1,2,8,5,7,4]
[8,1,5,6,4,7,2,3]=>[3,7,5,4,8,2,6,1]
[3,6,7,4,1,8,2,5]=>[7,4,1,2,8,5,3,6]
[1,7,4,6,8,2,5,3]=>[8,3,6,4,2,7,1,5]
[7,5,8,2,6,3,1,4]=>[7,4,2,6,1,8,5,3]
[2,7,1,6,5,4,8,3]=>[6,5,4,8,1,3,2,7]
[7,3,2,6,1,8,5,4]=>[8,2,7,3,5,4,1,6]
[6,4,7,2,3,1,8,5]=>[4,2,5,1,8,6,3,7]
[5,3,1,8,4,6,2,7]=>[2,5,1,7,6,8,3,4]
[3,8,1,6,7,4,2,5]=>[7,6,1,4,8,3,5,2]
[2,7,4,3,6,8,1,5]=>[3,7,4,5,1,2,8,6]
[2,8,4,6,1,5,3,7]=>[3,7,5,6,1,4,8,2]
[8,4,1,6,3,2,5,7]=>[6,5,2,7,3,4,8,1]
[4,7,3,8,5,2,1,6]=>[7,1,3,6,5,2,8,4]
[3,1,7,4,8,5,2,6]=>[7,1,4,6,3,8,2,5]
[7,4,1,6,3,2,8,5]=>[5,2,8,6,3,4,1,7]
[3,8,6,2,7,4,1,5]=>[7,4,6,1,3,8,5,2]
[7,3,1,4,5,2,8,6]=>[4,2,5,8,3,6,1,7]
[6,1,4,8,5,3,2,7]=>[7,3,6,5,1,8,2,4]
[8,1,2,4,6,7,5,3]=>[5,8,4,7,2,3,6,1]
[8,1,3,6,7,5,4,2]=>[4,8,7,3,6,2,5,1]
[7,5,2,3,8,6,1,4]=>[7,8,3,2,4,1,6,5]
[8,6,2,4,1,3,7,5]=>[8,3,5,4,6,2,7,1]
[4,7,5,1,8,6,3,2]=>[3,8,1,7,6,4,2,5]
[4,7,3,2,8,5,6,1]=>[1,3,6,8,4,2,7,5]
[8,4,5,7,6,1,3,2]=>[2,3,8,6,7,5,4,1]
[7,5,8,4,2,3,6,1]=>[5,2,6,4,1,8,7,3]
[3,8,4,6,1,7,5,2]=>[8,3,7,1,5,4,6,2]
[3,7,4,6,5,2,8,1]=>[6,3,5,1,4,2,8,7]
[4,2,7,6,1,5,8,3]=>[1,6,8,5,2,4,3,7]
[8,3,1,4,5,7,6,2]=>[2,8,4,5,7,3,6,1]
[3,5,1,6,8,4,7,2]=>[4,1,2,6,8,7,3,5]
[6,1,5,7,3,8,4,2]=>[3,8,5,4,1,7,2,6]
[5,8,4,7,3,2,6,1]=>[1,3,6,5,8,7,4,2]
[7,2,6,5,8,4,1,3]=>[7,4,3,8,2,1,6,5]
[8,3,2,5,1,6,7,4]=>[2,6,3,4,8,5,7,1]
[2,6,8,3,7,4,1,5]=>[7,4,2,6,8,1,5,3]
[8,1,5,6,4,7,3,2]=>[3,5,4,8,7,2,6,1]
[2,5,8,1,6,4,7,3]=>[2,6,5,8,1,4,7,3]
[7,4,1,8,3,2,6,5]=>[5,2,8,6,7,3,1,4]
[8,3,7,4,2,1,6,5]=>[5,2,4,8,6,7,3,1]
[5,2,6,8,3,1,7,4]=>[5,3,1,8,2,6,7,4]
[3,6,5,8,4,1,7,2]=>[3,2,8,1,6,5,7,4]
[7,3,6,1,8,4,5,2]=>[6,8,2,7,4,3,1,5]
[8,2,7,3,4,6,5,1]=>[8,4,5,7,2,6,3,1]
[7,3,8,2,5,6,4,1]=>[5,8,2,4,1,7,6,3]
[5,7,3,1,6,4,8,2]=>[3,1,6,5,8,4,2,7]
[6,1,3,2,4,8,7,5]=>[8,3,7,2,4,1,5,6]
[8,7,4,2,3,6,1,5]=>[4,5,3,7,8,6,2,1]
[8,7,1,5,4,2,3,6]=>[6,7,5,3,4,8,2,1]
[3,7,1,5,2,8,6,4]=>[4,8,1,7,3,5,2,6]
[8,7,2,5,4,1,3,6]=>[6,7,3,5,4,8,2,1]
[8,7,2,5,3,1,4,6]=>[6,3,5,7,4,8,2,1]
[5,2,8,7,1,4,3,6]=>[7,5,1,6,8,2,4,3]
[7,1,8,6,2,4,3,5]=>[7,5,6,8,4,2,1,3]
[8,1,6,2,7,5,3,4]=>[7,8,6,4,2,3,5,1]
[7,1,6,2,8,5,3,4]=>[7,8,6,4,2,3,1,5]
[6,3,4,1,7,2,8,5]=>[2,3,8,6,4,1,5,7]
[7,2,4,3,5,1,8,6]=>[4,2,3,5,8,6,1,7]
[5,1,7,2,3,8,6,4]=>[8,7,4,1,5,2,3,6]
[8,2,3,5,1,7,6,4]=>[4,8,2,3,7,5,6,1]
[7,6,3,1,4,8,2,5]=>[5,3,7,8,4,2,1,6]
[6,1,8,2,7,5,3,4]=>[7,8,6,4,1,5,2,3]
[7,2,8,1,6,5,3,4]=>[7,8,6,2,4,1,5,3]
[7,2,6,4,3,8,1,5]=>[5,4,7,2,3,1,8,6]
[5,1,7,4,3,8,2,6]=>[5,4,1,7,3,8,2,6]
[5,3,1,7,4,8,2,6]=>[2,5,1,7,4,8,3,6]
[7,4,8,2,1,5,3,6]=>[4,2,7,5,6,1,8,3]
[8,2,4,1,6,3,7,5]=>[3,8,2,6,4,5,7,1]
[8,2,7,5,1,6,4,3]=>[8,7,5,2,4,6,3,1]
[6,1,7,3,2,8,5,4]=>[8,4,7,5,2,1,3,6]
[4,7,2,1,6,3,8,5]=>[1,8,3,6,4,5,2,7]
[6,2,1,5,3,8,4,7]=>[7,2,4,8,3,1,5,6]
[5,3,1,6,2,8,4,7]=>[2,7,4,1,8,3,5,6]
[6,1,5,2,8,4,3,7]=>[7,6,3,8,2,1,4,5]
[7,4,3,8,1,5,2,6]=>[3,2,7,5,6,1,8,4]
[7,4,8,1,5,3,2,6]=>[2,7,6,4,5,1,8,3]
[6,1,5,3,2,8,4,7]=>[4,7,3,8,2,1,5,6]
[6,3,2,8,4,1,5,7]=>[2,6,3,5,1,7,8,4]
[7,3,4,2,8,5,1,6]=>[2,3,7,4,6,1,8,5]
[7,1,6,3,4,2,8,5]=>[4,5,8,6,2,3,1,7]
[8,5,1,3,7,4,2,6]=>[7,4,6,2,8,3,5,1]
[3,8,6,1,5,2,7,4]=>[8,6,1,4,5,3,7,2]
[8,6,1,3,7,5,2,4]=>[7,8,4,6,3,2,5,1]
[4,8,5,6,1,7,3,2]=>[3,8,1,7,5,4,6,2]
[6,7,1,3,8,5,2,4]=>[7,8,4,1,6,3,2,5]
[3,6,7,1,5,2,8,4]=>[8,6,1,4,2,5,3,7]
[7,1,3,8,4,2,6,5]=>[5,8,3,6,7,2,1,4]
[5,6,2,7,1,3,8,4]=>[8,3,1,5,2,6,4,7]
[5,6,2,8,1,3,7,4]=>[8,3,1,5,2,6,7,4]
[6,1,8,3,7,5,2,4]=>[7,8,4,1,6,5,2,3]
[7,4,2,1,5,8,3,6]=>[3,5,2,7,8,4,1,6]
[7,4,1,5,8,3,2,6]=>[4,2,7,6,8,3,1,5]
[7,3,2,6,4,8,1,5]=>[2,5,7,3,4,1,8,6]
[6,4,2,7,3,8,1,5]=>[5,2,7,3,1,4,8,6]
[5,1,8,3,7,4,2,6]=>[7,4,1,6,8,5,2,3]
[7,4,8,3,1,5,2,6]=>[2,7,5,4,6,1,8,3]
[5,2,1,7,4,8,3,6]=>[5,7,2,1,4,8,3,6]
[6,1,8,4,5,2,7,3]=>[4,8,6,5,1,7,2,3]
[7,1,6,4,5,2,8,3]=>[4,8,6,5,2,3,1,7]
[3,5,2,7,1,6,8,4]=>[6,1,2,8,3,5,4,7]
[4,5,7,3,1,6,8,2]=>[1,2,6,4,8,5,3,7]
[4,5,7,2,8,6,1,3]=>[1,2,7,8,4,3,6,5]
[3,5,1,7,2,6,8,4]=>[6,1,2,8,5,3,4,7]
[4,5,7,2,8,1,3,6]=>[1,4,2,6,7,3,8,5]
[4,6,7,2,1,5,8,3]=>[1,4,6,2,8,5,3,7]
[4,6,7,1,3,8,5,2]=>[8,1,5,2,7,4,3,6]
[3,6,1,5,7,8,4,2]=>[4,5,1,2,8,7,3,6]
[4,6,7,1,5,8,3,2]=>[5,1,2,8,7,4,3,6]
[6,1,3,7,4,8,5,2]=>[8,5,3,4,1,7,2,6]
[3,2,1,7,4,8,5,6]=>[1,7,8,2,5,3,4,6]
[4,1,5,2,7,6,3,8]=>[3,1,7,6,2,4,5,8]
[2,5,1,3,7,6,4,8]=>[7,6,1,3,2,4,5,8]
[2,5,1,4,3,8,6,7]=>[4,7,1,2,8,3,5,6]
[3,7,2,1,5,8,6,4]=>[8,1,3,5,7,4,2,6]
[6,2,7,1,4,8,5,3]=>[8,5,7,2,1,4,3,6]
[3,7,4,2,1,8,5,6]=>[4,1,3,7,8,5,2,6]
[7,2,5,3,1,8,6,4]=>[8,4,2,3,7,5,1,6]
[7,5,1,4,2,8,6,3]=>[4,8,7,3,2,5,1,6]
[7,5,4,1,3,8,6,2]=>[8,5,3,2,7,4,1,6]
[5,3,2,1,7,6,4,8]=>[2,7,3,1,6,4,5,8]
[6,3,2,8,1,5,7,4]=>[2,6,8,3,1,5,7,4]
[7,4,3,2,8,1,6,5]=>[3,2,8,4,6,1,7,5]
[7,6,2,4,8,3,5,1]=>[4,6,8,3,2,1,7,5]
[7,3,6,4,8,1,5,2]=>[4,8,2,6,3,1,7,5]
[2,7,5,3,8,1,4,6]=>[4,6,3,7,1,2,8,5]
[1,8,5,3,6,4,2,7]=>[7,4,3,6,5,8,1,2]
[8,6,2,3,7,5,4,1]=>[8,7,3,4,2,6,5,1]
[8,6,3,2,7,5,4,1]=>[8,3,7,4,2,6,5,1]
[8,3,2,7,1,6,4,5]=>[2,7,8,3,5,6,4,1]
[7,2,6,1,5,4,3,8]=>[7,6,2,4,5,3,1,8]
[8,5,7,4,3,6,2,1]=>[2,5,4,8,7,6,3,1]
[8,5,7,2,4,6,3,1]=>[5,2,8,4,7,6,3,1]
[8,4,6,7,1,3,2,5]=>[2,7,5,6,3,8,4,1]
[2,8,5,6,1,4,3,7]=>[7,5,3,6,1,4,8,2]
[7,2,6,8,4,1,5,3]=>[8,6,5,2,3,1,7,4]
[7,6,4,8,3,2,5,1]=>[3,6,5,2,1,8,7,4]
[6,5,8,1,4,2,7,3]=>[8,6,4,2,1,5,7,3]
[6,5,8,4,1,3,7,2]=>[6,2,1,8,5,4,7,3]
[5,4,8,3,2,1,7,6]=>[2,1,5,4,8,6,7,3]
[4,3,7,2,1,6,5,8]=>[2,1,4,7,5,6,3,8]
[2,5,8,1,4,3,7,6]=>[5,2,8,1,4,6,7,3]
[3,6,8,2,1,5,7,4]=>[4,6,1,2,8,5,7,3]
[5,7,4,8,1,3,6,2]=>[1,6,3,8,5,2,7,4]
[5,7,1,4,8,2,6,3]=>[4,1,8,6,7,3,2,5]
[2,7,4,1,8,3,6,5]=>[3,8,6,7,1,4,2,5]
[3,5,1,8,4,2,7,6]=>[5,1,2,8,6,7,3,4]
[4,1,5,7,3,6,2,8]=>[3,1,5,7,6,2,4,8]
[4,2,5,8,3,1,7,6]=>[3,1,5,8,2,6,7,4]
[6,1,2,7,8,3,5,4]=>[8,6,4,7,2,1,3,5]
[5,3,1,8,6,4,2,7]=>[7,2,1,6,5,8,3,4]
[3,1,8,4,7,5,2,6]=>[7,1,4,6,8,5,2,3]
[4,2,8,7,3,5,1,6]=>[1,5,7,6,8,2,4,3]
[4,8,1,7,6,2,3,5]=>[1,6,7,8,5,3,4,2]
[6,8,1,4,7,5,2,3]=>[4,7,1,8,6,3,5,2]
[7,3,8,1,6,4,2,5]=>[7,2,6,8,4,1,5,3]
[4,7,8,1,5,3,2,6]=>[7,1,6,4,5,2,8,3]
[7,1,8,6,2,5,3,4]=>[7,8,5,6,4,2,1,3]
[5,8,7,1,3,6,4,2]=>[1,8,5,7,4,6,3,2]
[3,8,7,2,1,6,4,5]=>[4,7,8,1,5,6,3,2]
[2,8,7,1,6,3,5,4]=>[8,6,7,4,5,1,3,2]
[3,7,6,1,5,4,2,8]=>[7,6,1,4,5,3,2,8]
[4,8,7,6,1,3,5,2]=>[6,8,1,5,7,4,3,2]
[5,8,7,2,6,1,4,3]=>[1,8,4,6,7,5,3,2]
[6,8,1,7,5,2,4,3]=>[8,6,1,7,5,3,4,2]
[7,3,8,6,5,1,2,4]=>[6,7,8,2,1,5,4,3]
[5,7,8,4,3,1,2,6]=>[1,6,7,5,4,2,8,3]
[5,8,6,4,3,2,1,7]=>[7,1,6,5,4,3,8,2]
[8,7,3,6,4,2,1,5]=>[7,3,6,5,8,4,2,1]
[6,1,4,2,5,3,7,8]=>[6,4,2,3,5,1,7,8]
[1,3,7,5,4,2,8,6]=>[5,4,8,2,6,1,3,7]
[6,1,3,5,4,2,7,8]=>[6,3,5,2,4,1,7,8]
[6,1,2,5,4,7,3,8]=>[5,4,7,2,3,1,6,8]
[5,1,6,3,4,7,8,2]=>[4,5,3,1,6,8,2,7]
[5,2,6,3,4,7,1,8]=>[4,5,2,1,3,7,6,8]
[3,4,7,5,8,6,1,2]=>[4,7,1,2,3,8,6,5]
[2,4,7,1,5,3,8,6]=>[2,5,8,1,4,6,3,7]
[2,3,6,7,4,8,1,5]=>[5,3,7,1,2,4,8,6]
[1,3,6,7,4,8,5,2]=>[3,8,5,2,4,7,1,6]
[2,7,6,5,3,1,8,4]=>[5,8,6,4,1,3,2,7]
[5,2,6,1,4,7,8,3]=>[5,6,2,1,3,8,4,7]
[4,7,6,5,2,1,8,3]=>[5,8,1,6,4,3,2,7]
[5,3,6,2,4,1,7,8]=>[2,4,1,6,5,3,7,8]
[5,7,4,2,1,3,6,8]=>[5,4,1,6,3,7,2,8]
[6,3,1,5,4,7,8,2]=>[2,5,4,6,1,8,3,7]
[5,3,6,1,4,2,7,8]=>[2,6,4,1,5,3,7,8]
[1,7,4,2,6,3,8,5]=>[3,8,6,4,5,1,2,7]
[5,7,4,1,2,3,6,8]=>[4,5,1,6,3,7,2,8]
[6,4,1,2,5,3,7,8]=>[6,3,4,2,5,1,7,8]
[4,7,6,3,8,5,1,2]=>[4,7,1,3,2,8,6,5]
[3,7,6,5,2,8,1,4]=>[5,7,4,1,3,2,8,6]
[3,7,6,5,1,2,8,4]=>[8,5,6,1,4,3,2,7]
[4,7,2,6,1,3,8,5]=>[1,8,3,5,6,4,2,7]
[2,7,1,6,8,3,5,4]=>[8,6,4,7,1,3,2,5]
[2,7,6,5,8,1,4,3]=>[8,6,4,3,1,2,7,5]
[5,2,8,7,6,4,3,1]=>[8,1,7,6,5,2,4,3]
[8,2,7,6,1,5,4,3]=>[8,7,5,6,2,4,3,1]
[8,4,1,7,6,5,3,2]=>[8,2,7,6,5,3,4,1]
[4,5,6,2,3,8,1,7]=>[1,4,2,5,3,7,8,6]
[4,5,3,2,7,8,1,6]=>[1,3,2,7,4,5,8,6]
[6,5,7,3,8,4,2,1]=>[2,1,8,4,3,7,6,5]
[6,8,7,2,4,3,5,1]=>[6,4,1,5,8,7,3,2]
[3,2,7,4,5,8,1,6]=>[1,4,5,7,2,3,8,6]
[6,8,1,5,2,4,3,7]=>[7,5,6,3,1,4,8,2]
[8,3,4,6,1,5,2,7]=>[2,3,7,5,6,4,8,1]
[2,3,4,7,5,8,1,6]=>[5,7,1,2,3,4,8,6]
[6,3,4,7,8,2,5,1]=>[6,2,3,1,4,8,7,5]
[5,3,7,4,8,6,1,2]=>[4,1,7,2,3,8,6,5]
[8,3,6,4,1,7,2,5]=>[7,2,4,8,5,3,6,1]
[1,3,7,4,8,6,2,5]=>[7,8,4,2,3,6,1,5]
[3,7,8,5,4,1,2,6]=>[6,7,5,1,4,2,8,3]
[5,4,3,1,7,8,2,6]=>[3,2,1,7,5,8,4,6]
[5,7,6,2,8,4,1,3]=>[1,7,8,4,3,2,6,5]
[6,1,7,5,8,3,4,2]=>[6,4,3,1,8,7,2,5]
[7,5,6,4,1,3,8,2]=>[6,2,8,5,4,3,1,7]
[1,5,6,8,4,7,3,2]=>[2,3,5,8,7,6,1,4]
[4,1,3,7,6,5,8,2]=>[1,6,5,3,4,8,2,7]
[3,4,1,7,5,8,6,2]=>[8,1,2,5,4,7,3,6]
[8,5,7,4,3,1,6,2]=>[2,8,6,5,4,7,3,1]
[6,8,5,1,7,2,4,3]=>[8,6,1,7,4,3,5,2]
[8,2,4,1,3,7,6,5]=>[3,8,2,7,4,5,6,1]
[7,8,3,6,2,1,4,5]=>[3,6,5,7,1,8,4,2]
[8,1,7,4,2,3,6,5]=>[8,5,4,6,7,2,3,1]
[1,8,7,2,3,5,6,4]=>[6,8,4,5,7,3,1,2]
[2,8,3,1,6,7,5,4]=>[5,8,3,7,1,4,6,2]
[8,2,3,1,5,7,6,4]=>[8,2,3,5,7,4,6,1]
[3,8,4,1,2,7,6,5]=>[3,8,1,7,4,5,6,2]
[5,4,7,2,3,6,8,1]=>[4,2,1,5,6,3,8,7]
[6,3,2,1,8,4,7,5]=>[2,8,3,6,1,7,4,5]
[2,3,7,4,1,8,5,6]=>[4,7,8,1,2,5,3,6]
[6,4,1,3,2,7,8,5]=>[4,6,2,8,3,1,5,7]
[2,7,8,5,1,3,6,4]=>[8,5,6,4,1,2,7,3]
[8,2,5,6,7,1,3,4]=>[6,3,7,2,4,8,5,1]
[2,8,5,4,7,6,1,3]=>[4,3,7,8,6,1,5,2]
[6,7,1,5,8,2,4,3]=>[8,6,4,1,7,3,2,5]
[4,8,7,6,2,3,5,1]=>[5,6,8,1,7,4,3,2]
[7,8,1,5,3,2,6,4]=>[5,8,6,3,4,1,7,2]
[6,5,7,3,8,2,1,4]=>[4,2,1,7,6,3,8,5]
[8,1,4,7,2,5,6,3]=>[3,6,8,5,7,2,4,1]
[7,3,4,6,1,5,8,2]=>[2,3,6,8,5,4,1,7]
[8,3,4,5,7,1,6,2]=>[2,3,4,8,6,7,5,1]
[4,2,6,8,3,1,5,7]=>[1,6,5,2,3,7,8,4]
[3,7,6,2,4,5,1,8]=>[4,5,7,1,6,3,2,8]
[2,3,6,5,8,1,4,7]=>[6,4,1,2,3,7,8,5]
[2,3,5,8,6,1,4,7]=>[3,6,7,1,2,5,8,4]
[4,2,3,8,6,1,5,7]=>[6,1,7,2,3,5,8,4]
[6,4,1,2,8,3,5,7]=>[6,7,2,8,3,1,4,5]
[1,2,3,7,4,6,8,5]=>[6,8,5,1,2,3,4,7]
[3,2,7,1,4,5,8,6]=>[1,8,2,4,5,6,3,7]
[2,1,5,3,8,7,4,6]=>[3,7,8,1,6,2,4,5]
[5,8,3,2,4,1,6,7]=>[4,3,1,6,5,7,8,2]
[4,2,7,1,8,3,5,6]=>[6,1,7,8,2,4,3,5]
[4,1,8,2,7,3,5,6]=>[6,1,7,8,4,5,2,3]
[1,2,7,5,3,8,4,6]=>[7,4,8,5,1,2,3,6]
[3,2,7,1,4,8,5,6]=>[1,7,8,2,4,5,3,6]
[1,2,3,7,6,8,4,5]=>[7,5,4,8,1,2,3,6]
[1,2,3,6,8,7,4,5]=>[4,7,8,6,1,2,3,5]
[1,2,3,7,8,4,6,5]=>[8,6,4,7,1,2,3,5]
[1,2,3,6,8,4,7,5]=>[4,8,6,7,1,2,3,5]
[1,2,3,7,8,6,4,5]=>[7,4,8,6,1,2,3,5]
[6,2,8,3,7,5,1,4]=>[7,8,4,1,6,2,5,3]
[4,2,8,3,7,5,6,1]=>[1,6,8,4,7,2,5,3]
[7,3,4,8,6,5,1,2]=>[7,8,2,3,1,6,5,4]
[4,6,3,8,5,7,2,1]=>[5,1,2,8,3,7,6,4]
[7,5,3,8,6,2,4,1]=>[6,2,8,3,1,7,5,4]
[2,6,8,3,7,4,5,1]=>[6,2,8,4,7,1,5,3]
[1,8,4,3,7,5,6,2]=>[3,6,8,4,7,5,1,2]
[7,4,3,8,6,2,5,1]=>[2,6,8,3,1,7,5,4]
[4,5,3,8,6,7,2,1]=>[1,2,5,8,3,7,6,4]
[3,6,7,8,4,5,2,1]=>[2,5,3,8,1,7,6,4]
[2,6,8,5,4,7,3,1]=>[2,5,4,8,7,1,6,3]
[1,8,5,6,4,7,3,2]=>[3,5,4,8,7,6,1,2]
[2,5,8,6,4,7,3,1]=>[5,2,4,8,7,1,6,3]
[7,4,6,5,8,3,2,1]=>[4,2,3,1,8,7,6,5]
[6,3,7,8,4,5,2,1]=>[5,3,1,8,2,7,6,4]
[4,3,7,8,5,6,2,1]=>[5,1,3,8,2,7,6,4]
[5,2,8,6,4,7,3,1]=>[1,5,4,8,7,2,6,3]
[4,2,8,6,5,7,3,1]=>[5,1,4,8,7,2,6,3]
[3,2,8,6,7,4,5,1]=>[6,4,8,1,7,2,5,3]
[2,3,8,7,5,4,6,1]=>[6,5,8,7,1,2,4,3]
[1,8,2,7,4,5,6,3]=>[5,6,8,7,3,4,1,2]
[7,2,8,6,3,4,5,1]=>[5,6,8,7,2,1,4,3]
[6,2,8,4,5,7,3,1]=>[4,5,1,8,7,2,6,3]
[5,2,8,4,6,7,3,1]=>[4,1,5,8,7,2,6,3]
[4,2,8,5,6,7,3,1]=>[1,4,5,8,7,2,6,3]
[3,4,6,8,7,2,5,1]=>[3,6,8,1,2,7,5,4]
[7,3,5,8,6,2,4,1]=>[3,6,8,2,1,7,5,4]
[1,8,3,5,7,4,6,2]=>[4,6,8,3,7,5,1,2]
[2,7,8,4,5,6,3,1]=>[4,5,2,8,7,1,6,3]
[3,7,5,8,4,6,2,1]=>[3,5,2,8,1,7,6,4]
[5,7,4,6,8,3,2,1]=>[1,3,4,2,8,7,6,5]
[3,6,5,8,4,7,2,1]=>[3,2,5,8,1,7,6,4]
[2,6,8,4,5,7,3,1]=>[4,2,5,8,7,1,6,3]
[4,2,7,1,3,8,5,6]=>[7,1,8,2,4,5,3,6]
[4,2,5,1,3,8,6,7]=>[7,2,1,3,8,4,5,6]
[5,3,6,1,7,2,4,8]=>[2,6,1,7,4,3,5,8]
[3,7,1,2,5,8,6,4]=>[8,1,5,7,3,4,2,6]
[3,7,4,1,2,8,5,6]=>[7,1,3,8,4,5,2,6]
[7,5,1,3,4,8,6,2]=>[8,4,5,2,7,3,1,6]
[7,5,1,2,4,8,6,3]=>[8,5,7,3,2,4,1,6]
[6,4,2,3,7,1,5,8]=>[3,4,2,6,1,7,5,8]
[7,6,3,8,1,2,5,4]=>[3,8,5,6,2,1,7,4]
[7,4,2,3,8,1,6,5]=>[8,3,2,4,6,1,7,5]
[4,7,5,2,8,1,3,6]=>[1,4,6,3,7,2,8,5]
[8,2,6,3,7,1,4,5]=>[4,6,7,2,3,8,5,1]
[8,6,1,2,7,4,5,3]=>[6,8,7,3,4,2,5,1]
[8,4,7,1,2,3,6,5]=>[8,4,2,5,6,7,3,1]
[8,5,7,1,2,4,6,3]=>[6,8,4,2,5,7,3,1]
[8,5,7,1,3,4,6,2]=>[5,6,2,8,4,7,3,1]
[8,6,2,7,1,3,5,4]=>[8,3,5,6,2,7,4,1]
[3,8,5,6,1,2,4,7]=>[5,6,1,3,7,4,8,2]
[3,7,5,8,1,2,4,6]=>[5,6,1,3,7,2,8,4]
[7,6,4,8,1,3,5,2]=>[6,3,8,5,2,1,7,4]
[6,5,8,1,2,4,7,3]=>[6,8,4,2,1,5,7,3]
[3,6,8,1,2,5,7,4]=>[6,8,1,4,2,5,7,3]
[3,7,2,4,8,1,6,5]=>[8,1,3,4,6,2,7,5]
[4,6,3,8,1,2,5,7]=>[1,5,3,6,2,7,8,4]
[4,6,3,7,1,2,5,8]=>[1,5,3,6,2,7,4,8]
[4,1,7,8,2,3,6,5]=>[1,8,5,6,3,7,2,4]
[5,1,2,8,6,3,4,7]=>[6,7,5,1,8,2,3,4]
[5,3,8,1,6,2,4,7]=>[2,6,1,7,4,5,8,3]
[6,1,8,5,2,3,4,7]=>[5,6,7,4,1,8,2,3]
[6,1,7,5,2,3,4,8]=>[5,6,7,4,2,1,3,8]
[6,8,1,3,7,4,5,2]=>[6,8,4,1,7,3,5,2]
[7,2,8,1,6,3,4,5]=>[6,7,8,2,4,1,5,3]
[4,7,8,2,5,1,3,6]=>[1,4,6,7,5,2,8,3]
[6,8,2,7,1,4,5,3]=>[6,8,3,1,5,7,4,2]
[4,8,7,1,3,5,6,2]=>[1,5,6,8,4,7,3,2]
[3,8,7,1,2,4,6,5]=>[8,1,4,5,6,7,3,2]
[4,8,7,1,2,3,6,5]=>[1,8,4,5,6,7,3,2]
[5,8,7,1,2,4,6,3]=>[6,1,8,4,5,7,3,2]
[5,8,7,1,3,4,6,2]=>[5,1,6,8,4,7,3,2]
[7,1,8,6,2,3,5,4]=>[8,5,6,7,4,2,1,3]
[5,8,6,4,1,2,3,7]=>[5,1,6,7,4,3,8,2]
[7,8,4,1,2,5,3,6]=>[7,4,5,3,6,1,8,2]
[7,8,1,2,6,5,3,4]=>[7,8,6,3,4,1,5,2]
[1,4,8,2,7,5,3,6]=>[7,2,6,8,4,5,1,3]
[6,1,3,4,7,2,5,8]=>[3,4,6,7,2,1,5,8]
[7,8,2,1,6,3,5,4]=>[8,3,6,7,4,1,5,2]
[6,1,2,7,5,4,3,8]=>[7,6,5,2,3,1,4,8]
[1,2,8,7,5,4,3,6]=>[7,6,5,8,4,1,2,3]
[5,1,7,3,6,4,8,2]=>[6,4,1,5,3,8,2,7]
[6,2,1,5,7,4,3,8]=>[4,7,2,6,3,1,5,8]
[6,2,3,7,4,1,5,8]=>[6,2,3,5,1,7,4,8]
[3,4,8,7,5,6,1,2]=>[7,5,8,1,2,6,4,3]
[2,3,8,7,4,1,5,6]=>[6,5,7,8,1,2,4,3]
[2,7,3,8,6,4,1,5]=>[7,6,8,3,1,2,5,4]
[1,8,3,7,6,4,5,2]=>[6,8,7,3,5,4,1,2]
[5,2,7,1,4,6,8,3]=>[5,6,1,8,2,4,3,7]
[4,6,7,5,2,1,8,3]=>[5,1,2,8,6,4,3,7]
[6,3,1,4,5,7,8,2]=>[4,2,5,6,1,8,3,7]
[5,3,1,4,6,2,7,8]=>[4,2,6,3,1,5,7,8]
[5,1,2,4,7,6,8,3]=>[6,4,5,1,8,2,3,7]
[5,7,4,1,2,6,3,8]=>[7,4,1,5,3,6,2,8]
[4,8,1,2,6,7,3,5]=>[1,7,5,8,3,4,6,2]
[4,1,7,8,2,6,3,5]=>[1,7,8,5,3,6,2,4]
[1,2,8,7,6,5,3,4]=>[7,8,6,5,4,1,2,3]
[3,1,2,4,6,8,7,5]=>[1,8,5,7,2,3,4,6]
[3,1,8,4,5,7,6,2]=>[8,1,4,5,7,6,2,3]
[3,2,8,5,4,7,1,6]=>[5,1,4,7,8,2,6,3]
[4,2,8,1,5,3,7,6]=>[5,1,8,2,4,6,7,3]
[4,3,8,5,7,6,1,2]=>[1,4,7,8,2,6,5,3]
[4,8,2,1,6,3,7,5]=>[1,8,3,6,4,5,7,2]
[3,8,6,5,2,7,1,4]=>[5,7,4,1,3,8,6,2]
[3,8,5,6,1,7,4,2]=>[3,8,7,1,5,4,6,2]
[3,5,7,8,1,2,6,4]=>[2,8,1,5,6,3,7,4]
[3,7,8,5,2,1,6,4]=>[5,8,6,1,4,2,7,3]
[3,7,2,8,4,1,6,5]=>[5,8,1,3,6,2,7,4]
[2,8,1,7,4,6,5,3]=>[8,5,7,6,1,3,4,2]
[2,8,7,5,1,6,4,3]=>[8,7,5,4,6,1,3,2]
[2,8,6,7,5,1,4,3]=>[8,6,3,7,5,1,4,2]
[5,1,3,4,6,7,2,8]=>[3,4,5,1,7,2,6,8]
[1,3,4,8,7,5,2,6]=>[7,6,8,2,3,5,1,4]
[8,2,4,1,7,3,5,6]=>[6,2,3,7,8,4,5,1]
[8,6,1,4,2,3,7,5]=>[8,5,3,4,6,2,7,1]
[3,6,1,4,2,8,7,5]=>[8,1,4,7,3,2,5,6]
[1,6,8,4,3,7,2,5]=>[5,4,2,7,8,6,1,3]
[3,1,4,7,8,5,2,6]=>[7,1,6,3,4,8,2,5]
[6,1,7,4,3,8,2,5]=>[5,4,7,3,1,8,2,6]
[1,8,7,4,3,6,2,5]=>[5,4,7,8,6,3,1,2]
[7,4,1,3,8,2,6,5]=>[8,4,2,6,7,3,1,5]
[4,8,2,3,1,5,7,6]=>[3,1,4,8,5,6,7,2]
[4,8,6,2,1,3,7,5]=>[1,4,8,5,6,3,7,2]
[2,7,4,1,8,3,5,6]=>[6,3,7,8,1,4,2,5]
[1,7,8,4,2,3,6,5]=>[8,5,4,6,2,7,1,3]
[4,7,1,3,8,2,6,5]=>[1,8,4,6,7,3,2,5]
[8,7,1,3,4,2,6,5]=>[4,5,8,3,6,7,2,1]
[1,7,4,3,6,2,8,5]=>[3,8,4,6,5,1,2,7]
[3,8,6,4,5,2,1,7]=>[4,7,6,1,5,3,8,2]
[3,8,4,6,5,2,1,7]=>[7,3,6,1,5,4,8,2]
[2,4,3,7,5,8,1,6]=>[2,5,7,1,3,4,8,6]
[1,4,7,3,6,2,8,5]=>[8,2,4,6,5,1,3,7]
[1,8,3,4,2,6,7,5]=>[3,4,6,8,5,7,1,2]
[6,4,1,3,7,2,8,5]=>[8,4,2,6,3,1,5,7]
[8,1,4,3,6,2,7,5]=>[3,8,4,6,2,5,7,1]
[4,2,3,8,5,7,1,6]=>[5,1,7,8,2,3,6,4]
[2,8,5,7,3,4,1,6]=>[5,3,7,6,8,1,4,2]
[5,8,2,6,4,3,1,7]=>[1,7,6,3,5,4,8,2]
[7,2,5,8,4,3,1,6]=>[3,7,6,2,5,1,8,4]
[4,2,3,5,8,7,1,6]=>[7,1,8,2,3,4,6,5]
[8,2,3,5,4,7,1,6]=>[5,2,3,4,7,8,6,1]
[6,1,8,3,4,2,7,5]=>[4,5,8,6,1,7,2,3]
[1,8,6,4,2,3,7,5]=>[8,5,4,6,3,7,1,2]
[3,8,4,5,6,2,1,7]=>[3,4,7,1,6,5,8,2]
[2,4,3,5,7,8,1,6]=>[2,7,1,3,4,5,8,6]
[3,8,6,5,4,2,1,7]=>[7,6,5,1,4,3,8,2]
[6,3,1,4,2,8,7,5]=>[2,8,4,7,3,1,5,6]
[7,3,8,1,2,6,4,5]=>[2,7,8,4,5,1,6,3]
[7,1,4,5,3,2,6,8]=>[3,6,5,2,4,7,1,8]
[1,8,4,2,6,5,3,7]=>[3,7,6,4,5,8,1,2]
[5,1,4,8,6,3,2,7]=>[7,3,1,6,5,8,2,4]
[5,3,1,8,4,7,2,6]=>[2,5,1,7,8,6,3,4]
[4,3,8,1,5,7,2,6]=>[2,1,5,7,8,4,6,3]
[6,3,1,2,5,7,4,8]=>[5,2,7,3,4,1,6,8]
[7,1,4,2,6,5,3,8]=>[3,7,6,2,4,5,1,8]
[3,8,4,1,6,5,2,7]=>[3,7,1,6,4,5,8,2]
[7,5,3,6,4,8,2,1]=>[5,3,2,4,1,8,7,6]
[7,3,6,4,5,8,2,1]=>[4,5,2,3,1,8,7,6]
[8,7,2,4,5,1,6,3]=>[4,8,3,6,5,7,2,1]
[7,1,5,4,8,6,3,2]=>[3,8,4,7,6,2,1,5]
[2,7,5,4,8,6,3,1]=>[3,8,4,2,7,1,6,5]
[2,1,8,7,5,3,6,4]=>[8,6,5,7,1,4,2,3]
[5,8,3,7,4,1,6,2]=>[1,8,3,6,5,7,4,2]
[8,1,7,4,2,6,5,3]=>[4,8,7,5,6,2,3,1]
[5,6,3,1,8,4,7,2]=>[3,1,6,2,8,7,4,5]
[5,7,1,4,8,6,3,2]=>[1,8,4,7,6,3,2,5]
[3,5,7,4,8,6,2,1]=>[8,2,4,1,3,7,6,5]
[2,6,7,4,5,8,3,1]=>[4,2,5,3,8,1,7,6]
[6,1,7,4,5,8,3,2]=>[4,5,3,1,8,7,2,6]
[5,3,7,4,8,6,2,1]=>[1,8,4,2,3,7,6,5]
[8,5,3,6,1,4,7,2]=>[3,6,2,8,5,4,7,1]
[5,4,3,6,8,2,7,1]=>[3,2,1,4,6,8,7,5]
[6,5,3,7,4,8,2,1]=>[5,3,2,1,4,8,7,6]
[7,5,8,4,1,6,3,2]=>[2,8,7,5,4,1,6,3]
[2,7,8,4,5,1,6,3]=>[4,8,6,5,1,2,7,3]
[5,7,3,8,4,1,6,2]=>[1,8,3,6,5,2,7,4]
[5,6,3,8,1,4,7,2]=>[3,1,6,2,8,5,7,4]
[8,4,1,2,5,6,7,3]=>[5,6,2,8,3,4,7,1]
[3,7,8,4,1,6,5,2]=>[4,8,7,1,5,2,6,3]
[6,8,3,1,2,5,7,4]=>[6,3,8,4,1,5,7,2]
[8,5,1,7,2,6,4,3]=>[8,7,5,2,6,3,4,1]
[8,7,1,4,5,2,6,3]=>[4,8,6,3,5,7,2,1]
[7,6,3,1,5,2,8,4]=>[3,8,6,4,5,2,1,7]
[7,5,1,8,2,6,3,4]=>[7,8,5,2,6,3,1,4]
[8,7,3,1,5,4,2,6]=>[3,7,6,4,5,8,2,1]
[3,6,2,1,5,4,8,7]=>[1,3,5,8,4,2,6,7]
[5,4,2,6,1,3,8,7]=>[8,3,2,1,5,4,6,7]
[3,2,6,5,1,4,8,7]=>[8,1,5,2,4,3,6,7]
[2,5,8,1,7,4,3,6]=>[2,7,6,8,1,4,5,3]
[6,8,2,7,4,3,1,5]=>[7,6,3,1,5,8,4,2]
[6,8,2,3,7,5,1,4]=>[7,8,3,1,4,6,5,2]
[7,6,2,5,4,8,1,3]=>[7,5,3,4,2,1,8,6]
[2,6,5,1,8,4,3,7]=>[7,6,3,1,2,8,4,5]
[4,2,7,3,1,8,5,6]=>[4,1,7,8,2,5,3,6]
[4,2,3,7,1,5,8,6]=>[8,2,1,3,5,6,4,7]
[5,2,7,3,8,6,1,4]=>[7,1,8,4,2,3,6,5]
[2,1,5,8,4,3,7,6]=>[3,5,8,1,6,7,2,4]
[5,8,4,2,6,7,1,3]=>[1,7,4,3,5,8,6,2]
[3,2,4,8,1,5,7,6]=>[1,8,2,3,5,6,7,4]
[2,4,8,3,1,7,5,6]=>[2,4,7,8,1,5,6,3]
[4,8,3,2,1,7,6,5]=>[1,3,8,4,7,5,6,2]
[4,1,3,7,2,6,8,5]=>[6,1,8,3,5,2,4,7]
[3,4,8,2,1,6,5,7]=>[1,2,4,7,5,6,8,3]
[6,8,3,7,2,1,5,4]=>[3,5,1,8,6,7,4,2]
[3,5,8,1,7,2,6,4]=>[2,8,1,6,7,4,5,3]
[5,1,7,4,6,8,3,2]=>[4,1,5,3,8,7,2,6]
[7,6,4,8,1,5,3,2]=>[3,8,7,5,2,1,6,4]
[5,3,7,1,8,2,6,4]=>[8,2,1,6,7,4,3,5]
[2,7,6,3,8,1,4,5]=>[4,6,7,3,1,2,8,5]
[2,1,7,6,4,8,3,5]=>[5,7,4,1,3,8,2,6]
[2,1,5,4,8,7,3,6]=>[3,7,8,1,4,6,2,5]
[5,4,8,7,2,6,1,3]=>[2,1,5,7,8,6,4,3]
[2,4,3,8,7,1,5,6]=>[2,6,7,8,1,3,5,4]
[3,4,1,8,6,2,7,5]=>[8,1,2,6,5,7,3,4]
[3,8,5,4,2,1,7,6]=>[5,4,1,3,8,6,7,2]
[4,8,6,5,2,7,1,3]=>[5,7,1,4,3,8,6,2]
[3,2,8,7,5,4,1,6]=>[7,6,1,5,8,2,4,3]
[2,8,6,5,4,3,1,7]=>[7,6,5,4,1,3,8,2]
[5,4,2,6,3,1,8,7]=>[5,3,2,1,4,8,6,7]
[6,5,2,1,3,4,8,7]=>[3,8,4,5,2,1,6,7]
[8,5,2,7,3,1,4,6]=>[6,3,5,2,7,8,4,1]
[7,3,6,5,2,8,4,1]=>[8,5,2,4,3,1,7,6]
[7,6,2,3,4,8,5,1]=>[8,3,4,5,2,1,7,6]
[8,7,5,3,1,4,2,6]=>[7,5,4,6,3,8,2,1]
[7,1,5,3,8,4,6,2]=>[6,3,8,4,7,2,1,5]
[6,7,2,3,5,8,4,1]=>[5,8,3,1,4,2,7,6]
[3,7,6,4,2,8,5,1]=>[4,8,5,1,3,2,7,6]
[2,1,7,6,4,8,5,3]=>[8,5,4,1,3,7,2,6]
[2,1,8,7,4,3,5,6]=>[6,5,7,8,1,4,2,3]
[5,8,3,7,2,1,4,6]=>[3,1,6,5,7,8,4,2]
[3,8,7,4,2,1,5,6]=>[6,5,1,4,7,8,3,2]
[7,8,2,3,5,1,4,6]=>[3,4,6,7,5,1,8,2]
[2,8,6,3,1,4,7,5]=>[4,8,5,6,1,3,7,2]
[8,1,6,3,2,4,5,7]=>[5,4,6,7,2,3,8,1]
[5,7,1,4,8,3,6,2]=>[4,1,6,8,7,3,2,5]
[6,1,7,5,4,8,3,2]=>[5,4,3,1,8,7,2,6]
[6,3,7,5,8,4,2,1]=>[4,3,1,8,2,7,6,5]
[7,6,1,5,8,3,4,2]=>[6,4,8,7,3,2,1,5]
[8,6,7,5,1,3,2,4]=>[7,5,6,2,8,4,3,1]
[8,5,2,6,1,7,3,4]=>[7,8,3,2,5,4,6,1]
[5,4,2,6,8,3,7,1]=>[4,2,1,6,8,3,7,5]
[6,5,2,8,1,4,3,7]=>[7,3,5,2,1,6,8,4]
[7,4,2,8,1,3,6,5]=>[8,3,2,5,6,1,7,4]
[2,7,8,4,5,1,3,6]=>[6,4,7,5,1,2,8,3]
[5,7,3,8,4,1,2,6]=>[3,1,6,7,5,2,8,4]
[2,4,8,1,5,6,3,7]=>[2,5,7,1,4,6,8,3]
[3,4,8,1,5,2,7,6]=>[1,2,5,8,4,6,7,3]
[3,6,8,4,1,2,7,5]=>[8,5,1,4,2,6,7,3]
[4,8,1,2,5,3,6,7]=>[6,3,1,4,5,7,8,2]
[8,1,2,4,3,5,6,7]=>[5,2,3,4,6,7,8,1]
[5,8,7,4,6,3,2,1]=>[4,8,1,7,6,5,3,2]
[4,8,7,6,3,5,2,1]=>[5,8,7,1,6,4,3,2]
[3,8,7,6,5,2,4,1]=>[6,8,7,5,1,4,3,2]
[5,8,4,7,6,3,2,1]=>[8,1,3,7,6,5,4,2]
[6,8,5,4,7,3,2,1]=>[1,4,3,8,7,6,5,2]
[3,8,7,6,2,5,4,1]=>[8,5,7,6,1,4,3,2]
[4,8,7,6,3,2,5,1]=>[6,5,8,1,7,4,3,2]
[3,8,7,6,5,2,1,4]=>[7,6,8,5,1,4,3,2]
[7,5,8,4,6,3,1,2]=>[2,7,4,1,8,6,5,3]
[7,6,8,2,5,1,4,3]=>[8,4,6,2,1,7,5,3]
[3,5,2,4,7,6,1,8]=>[7,1,3,2,4,6,5,8]
[3,5,4,7,2,6,1,8]=>[3,1,2,5,7,6,4,8]
[3,5,4,7,6,1,2,8]=>[3,1,2,6,7,5,4,8]
[3,5,4,7,6,1,8,2]=>[2,8,1,3,6,5,4,7]
[3,5,7,4,6,1,8,2]=>[2,4,8,1,6,5,3,7]
[3,5,7,4,6,1,2,8]=>[2,6,1,4,7,5,3,8]
[3,5,7,4,6,2,1,8]=>[2,4,7,1,6,5,3,8]
[3,2,5,7,4,6,1,8]=>[1,3,5,7,2,6,4,8]
[3,5,2,7,6,4,1,8]=>[2,7,1,6,3,5,4,8]
[3,5,7,2,6,4,1,8]=>[2,7,1,4,6,5,3,8]
[5,3,7,6,2,4,1,8]=>[5,1,7,2,6,4,3,8]
[5,3,7,6,1,2,8,4]=>[8,2,1,5,6,4,3,7]
[5,3,7,6,1,4,2,8]=>[7,2,1,5,6,4,3,8]
[5,3,7,6,4,1,2,8]=>[6,1,7,2,5,4,3,8]
[3,5,7,2,6,1,4,8]=>[4,1,2,6,7,5,3,8]
[3,5,2,7,6,1,4,8]=>[6,1,2,7,3,5,4,8]
[5,3,7,6,4,1,8,2]=>[1,8,6,2,5,4,3,7]
[3,7,5,4,1,8,2,6]=>[7,4,1,3,8,5,2,6]
[3,7,5,4,1,8,6,2]=>[4,3,8,1,7,5,2,6]
[3,7,5,1,4,8,6,2]=>[8,5,1,3,7,4,2,6]
[3,7,5,1,4,8,2,6]=>[5,7,1,3,8,4,2,6]
[3,5,7,1,2,6,8,4]=>[6,1,2,8,4,5,3,7]
[3,5,7,2,1,6,8,4]=>[4,1,2,6,8,5,3,7]
[3,5,2,7,1,6,4,8]=>[7,1,3,2,5,6,4,8]
[3,5,7,2,1,6,4,8]=>[4,1,2,7,5,6,3,8]
[5,3,7,1,6,2,4,8]=>[2,6,1,7,4,5,3,8]
[3,5,7,1,4,6,8,2]=>[5,1,2,6,8,4,3,7]
[3,5,7,1,4,6,2,8]=>[5,1,2,7,4,6,3,8]
[3,5,7,1,4,2,6,8]=>[6,1,4,2,5,7,3,8]
[3,5,7,2,1,4,6,8]=>[5,1,4,2,6,7,3,8]
[3,5,2,7,1,4,6,8]=>[1,3,5,2,6,7,4,8]
[3,2,5,7,4,1,6,8]=>[1,3,6,2,5,7,4,8]
[3,5,2,7,4,1,6,8]=>[6,1,3,2,5,7,4,8]
[3,5,7,4,2,1,6,8]=>[2,6,1,5,4,7,3,8]
[3,5,7,4,1,2,6,8]=>[5,1,2,6,4,7,3,8]
[3,5,4,7,1,6,8,2]=>[3,1,2,6,8,5,4,7]
[3,5,4,7,1,2,6,8]=>[5,1,3,2,6,7,4,8]
[3,5,4,7,2,1,6,8]=>[3,1,2,6,5,7,4,8]
[3,5,4,2,7,1,6,8]=>[4,1,3,2,6,7,5,8]
[3,2,5,4,7,1,6,8]=>[1,4,2,3,6,7,5,8]
[3,5,4,7,2,1,8,6]=>[3,1,2,5,8,6,4,7]
[3,5,4,7,1,2,8,6]=>[3,1,2,8,5,6,4,7]
[5,7,6,3,1,8,4,2]=>[1,4,8,7,5,3,2,6]
[5,7,6,3,1,8,2,4]=>[1,7,4,8,5,3,2,6]
[3,5,7,4,1,2,8,6]=>[2,8,1,5,4,6,3,7]
[3,5,7,4,2,1,8,6]=>[2,5,1,4,8,6,3,7]
[3,2,5,7,4,1,8,6]=>[1,3,5,8,2,6,4,7]
[3,2,5,7,1,4,8,6]=>[1,3,8,2,5,6,4,7]
[3,5,2,7,1,4,8,6]=>[8,1,3,2,5,6,4,7]
[3,5,7,2,1,4,8,6]=>[4,1,2,8,5,6,3,7]
[3,5,7,1,4,2,8,6]=>[5,1,2,8,4,6,3,7]
[3,7,5,2,1,8,6,4]=>[8,4,1,3,7,5,2,6]
[3,7,2,5,1,8,6,4]=>[4,8,1,3,7,5,2,6]
[3,2,7,5,1,8,6,4]=>[4,8,1,7,2,5,3,6]
[3,2,7,5,1,8,4,6]=>[7,1,4,8,2,5,3,6]
[3,7,2,5,1,8,4,6]=>[7,1,3,4,8,5,2,6]
[3,7,5,2,1,8,4,6]=>[4,7,1,3,8,5,2,6]
[6,1,2,5,7,4,8,3]=>[4,6,5,8,2,1,3,7]
[6,3,2,7,4,1,8,5]=>[2,5,8,3,1,6,4,7]
[2,1,7,5,8,4,6,3]=>[4,6,3,8,1,7,2,5]
[2,7,3,6,8,4,1,5]=>[7,6,3,4,1,2,8,5]
[2,1,8,3,4,7,5,6]=>[7,8,1,4,5,6,2,3]
[5,1,7,2,4,8,3,6]=>[5,7,1,8,4,2,3,6]
[3,4,2,6,7,1,8,5]=>[1,2,4,8,3,6,5,7]
[3,5,8,7,2,1,6,4]=>[2,5,8,1,6,7,4,3]
[5,8,3,4,1,7,6,2]=>[3,1,4,8,7,5,6,2]
[5,8,7,2,4,1,6,3]=>[1,8,4,6,5,7,3,2]
[3,8,6,4,1,7,5,2]=>[4,8,7,1,5,3,6,2]
[4,3,5,6,8,1,7,2]=>[2,1,3,4,8,6,7,5]
[3,7,6,4,1,8,5,2]=>[4,8,7,1,5,3,2,6]
[3,7,4,1,8,6,5,2]=>[8,3,7,1,6,4,2,5]
[3,8,4,1,7,6,5,2]=>[8,3,7,1,6,4,5,2]
[3,2,7,6,1,5,4,8]=>[7,1,5,6,2,4,3,8]
[3,2,8,7,6,1,5,4]=>[8,6,7,1,5,2,4,3]
[5,7,8,2,4,1,6,3]=>[1,8,4,6,5,2,7,3]
[4,2,5,8,1,6,7,3]=>[3,1,6,8,2,5,7,4]
[4,2,5,8,1,7,3,6]=>[3,1,7,8,2,5,6,4]
[5,8,2,4,1,6,3,7]=>[7,3,1,5,4,6,8,2]
[8,4,2,6,5,1,3,7]=>[6,2,7,3,5,4,8,1]
[3,2,6,8,1,5,4,7]=>[7,1,5,2,3,6,8,4]
[8,3,2,5,6,1,4,7]=>[2,6,3,4,7,5,8,1]
[3,2,8,6,7,1,5,4]=>[8,6,1,4,7,2,5,3]
[3,2,6,8,7,1,5,4]=>[3,8,1,6,7,2,5,4]
[3,2,6,7,1,5,4,8]=>[7,1,5,2,3,6,4,8]
[8,7,3,2,5,6,1,4]=>[3,7,4,5,8,6,2,1]
[7,2,8,1,5,3,6,4]=>[8,6,2,4,5,1,7,3]
[8,4,2,7,5,1,3,6]=>[6,2,7,3,5,8,4,1]
[7,4,2,8,5,1,3,6]=>[6,2,7,3,5,1,8,4]
[7,2,4,1,8,3,6,5]=>[3,8,2,6,7,4,1,5]
[3,2,8,5,7,1,4,6]=>[6,1,4,7,8,2,5,3]
[2,6,5,7,1,8,3,4]=>[7,3,2,8,1,5,4,6]
[2,5,1,8,7,4,3,6]=>[2,7,6,8,1,5,3,4]
[8,1,4,6,3,5,2,7]=>[3,5,7,6,2,4,8,1]
[8,3,5,4,1,6,2,7]=>[7,2,5,4,3,6,8,1]
[8,6,3,4,1,5,2,7]=>[3,7,5,4,6,2,8,1]
[5,4,7,6,8,2,3,1]=>[1,6,2,4,3,8,7,5]
[4,1,8,2,3,7,6,5]=>[1,8,7,4,5,6,2,3]
[2,1,8,5,3,4,7,6]=>[8,5,1,4,6,7,2,3]
[5,2,4,6,8,7,3,1]=>[8,3,1,4,7,2,6,5]
[1,6,8,3,4,5,7,2]=>[4,5,2,6,8,7,1,3]
[5,7,4,8,6,1,3,2]=>[1,3,8,6,2,7,5,4]
[5,4,2,6,7,8,1,3]=>[4,2,1,7,3,5,8,6]
[6,4,2,7,3,5,8,1]=>[5,2,6,3,1,4,8,7]
[7,4,1,8,3,5,6,2]=>[5,2,6,8,7,3,1,4]
[6,5,4,8,7,3,1,2]=>[3,2,1,7,8,6,5,4]
[8,7,4,2,1,3,6,5]=>[4,8,5,3,6,7,2,1]
[8,7,1,3,2,5,6,4]=>[4,6,8,3,5,7,2,1]
[6,8,2,3,1,7,5,4]=>[8,3,4,1,7,5,6,2]
[7,4,3,2,6,8,5,1]=>[3,2,5,8,4,1,7,6]
[2,7,4,3,8,5,6,1]=>[3,6,8,4,1,2,7,5]
[8,3,7,2,1,5,6,4]=>[2,4,6,8,5,7,3,1]
[5,7,8,2,4,3,1,6]=>[1,7,4,6,5,2,8,3]
[8,4,7,3,2,6,1,5]=>[2,5,4,7,8,6,3,1]
[8,3,1,6,7,4,2,5]=>[7,2,6,4,8,3,5,1]
[3,2,5,7,4,8,1,6]=>[1,3,5,7,2,4,8,6]
[8,2,7,3,4,1,5,6]=>[4,6,2,5,7,8,3,1]
[7,1,6,3,5,8,2,4]=>[7,4,5,3,8,2,1,6]
[2,8,5,6,7,1,4,3]=>[3,8,6,4,7,1,5,2]
[1,5,2,7,8,6,4,3]=>[2,4,8,7,6,1,3,5]
[2,6,8,5,1,4,7,3]=>[6,2,8,5,1,4,7,3]
[1,4,2,8,6,5,7,3]=>[6,2,5,8,7,1,3,4]
[3,5,1,6,8,7,2,4]=>[4,1,2,7,8,6,3,5]
[5,7,6,2,1,3,8,4]=>[4,1,8,5,6,3,2,7]
[2,5,8,7,4,1,6,3]=>[8,2,6,5,7,1,4,3]
[4,1,7,5,2,6,8,3]=>[1,6,4,8,5,2,3,7]
[7,6,2,4,5,1,8,3]=>[4,8,3,6,5,2,1,7]
[7,3,4,2,5,8,6,1]=>[2,3,8,4,5,1,7,6]
[8,7,4,2,5,1,6,3]=>[8,4,3,6,5,7,2,1]
[8,1,4,5,2,6,7,3]=>[3,6,4,8,2,5,7,1]
[5,2,4,8,6,7,1,3]=>[7,3,1,5,8,2,6,4]
[8,5,6,2,1,3,7,4]=>[4,8,5,2,6,3,7,1]
[4,2,1,5,6,7,8,3]=>[2,4,1,5,6,8,3,7]
[3,4,6,5,1,7,8,2]=>[6,1,2,4,3,8,5,7]
[7,3,5,2,4,6,1,8]=>[2,4,5,3,7,6,1,8]
[5,3,7,2,4,6,1,8]=>[2,4,1,5,7,6,3,8]
[3,7,5,2,4,6,1,8]=>[4,5,1,3,7,6,2,8]
[5,7,3,2,4,6,1,8]=>[4,3,1,5,7,6,2,8]
[1,5,3,2,4,7,6,8]=>[3,7,4,1,2,5,6,8]
[1,5,3,2,7,4,6,8]=>[3,6,2,7,1,4,5,8]
[5,7,3,2,1,4,6,8]=>[5,4,3,1,6,7,2,8]
[5,7,3,2,4,1,6,8]=>[4,3,1,6,5,7,2,8]
[3,7,2,5,4,1,6,8]=>[6,1,3,5,4,7,2,8]
[5,1,3,2,4,7,6,8]=>[3,7,2,4,1,5,6,8]
[5,1,3,2,7,4,6,8]=>[3,6,7,2,1,4,5,8]
[7,1,3,2,5,4,6,8]=>[3,6,2,4,5,7,1,8]
[1,7,3,2,5,4,6,8]=>[3,6,4,5,7,1,2,8]
[7,1,3,5,2,4,6,8]=>[3,5,6,2,4,7,1,8]
[5,1,3,7,2,4,6,8]=>[3,5,6,1,7,2,4,8]
[3,2,7,5,1,4,6,8]=>[1,5,6,2,4,7,3,8]
[3,7,5,1,2,4,6,8]=>[1,4,5,6,3,7,2,8]
[5,7,3,1,2,4,6,8]=>[4,5,3,1,6,7,2,8]
[1,5,3,7,2,4,6,8]=>[3,5,2,6,7,1,4,8]
[5,3,2,7,4,1,6,8]=>[2,6,3,1,5,7,4,8]
[5,3,2,4,7,1,6,8]=>[3,2,4,1,6,7,5,8]
[5,3,2,1,4,7,6,8]=>[3,2,7,4,1,5,6,8]
[5,3,2,1,7,4,6,8]=>[3,2,6,1,7,4,5,8]
[1,3,2,7,5,4,6,8]=>[6,2,5,7,1,3,4,8]
[1,3,7,2,5,4,6,8]=>[6,2,4,5,7,1,3,8]
[7,3,1,2,5,4,6,8]=>[6,3,2,4,5,7,1,8]
[5,3,1,2,7,4,6,8]=>[6,2,7,3,1,4,5,8]
[5,3,1,2,4,7,6,8]=>[7,3,2,4,1,5,6,8]
[3,2,5,1,4,7,6,8]=>[1,7,2,4,3,5,6,8]
[7,3,1,5,2,4,6,8]=>[5,2,6,3,4,7,1,8]
[1,3,7,5,2,4,6,8]=>[5,6,2,4,7,1,3,8]
[7,5,1,3,2,4,6,8]=>[5,3,4,6,2,7,1,8]
[5,7,1,3,2,4,6,8]=>[5,3,4,1,6,7,2,8]
[3,7,1,5,2,4,6,8]=>[1,5,6,3,4,7,2,8]
[3,7,1,2,5,4,6,8]=>[1,6,3,4,5,7,2,8]
[3,7,2,1,5,4,6,8]=>[1,3,6,4,5,7,2,8]
[3,2,1,7,5,4,6,8]=>[1,6,2,5,7,3,4,8]
[3,1,2,7,5,4,6,8]=>[1,6,5,7,2,3,4,8]
[3,1,7,2,5,4,6,8]=>[1,6,4,5,7,2,3,8]
[3,1,7,5,2,4,6,8]=>[1,5,6,4,7,2,3,8]
[7,1,5,3,2,4,6,8]=>[5,4,6,2,3,7,1,8]
[1,7,5,3,2,4,6,8]=>[5,4,6,3,7,1,2,8]
[1,8,7,4,2,6,5,3]=>[4,8,7,5,6,3,1,2]
[2,8,5,1,7,6,4,3]=>[3,8,7,6,1,4,5,2]
[6,8,5,1,2,7,4,3]=>[8,7,4,1,5,3,6,2]
[2,8,1,4,7,6,5,3]=>[8,7,4,6,1,3,5,2]
[1,8,7,4,3,2,6,5]=>[5,4,8,6,7,3,1,2]
[1,8,5,4,2,7,6,3]=>[4,3,8,7,5,6,1,2]
[7,5,3,4,2,8,1,6]=>[3,5,4,2,7,1,8,6]
[8,5,3,6,2,4,7,1]=>[3,5,2,6,4,8,7,1]
[8,5,6,3,7,4,2,1]=>[2,8,4,3,7,6,5,1]
[8,5,6,2,7,4,3,1]=>[2,8,7,4,3,6,5,1]
[8,7,6,3,4,1,5,2]=>[4,8,6,5,7,3,2,1]
[1,7,2,3,6,8,5,4]=>[5,8,7,3,4,1,2,6]
[3,5,6,4,8,2,7,1]=>[2,4,1,3,6,8,7,5]
[3,5,1,4,8,2,7,6]=>[8,1,4,2,6,7,3,5]
[1,7,5,4,8,2,6,3]=>[4,3,8,6,2,7,1,5]
[3,7,5,1,6,4,8,2]=>[6,5,1,3,8,4,2,7]
[2,7,5,4,8,1,3,6]=>[6,4,3,7,1,2,8,5]
[2,7,5,4,8,6,1,3]=>[4,3,7,2,8,1,6,5]
[1,7,5,4,8,6,3,2]=>[3,8,4,2,7,6,1,5]
[2,5,1,4,8,7,3,6]=>[7,2,8,1,4,6,3,5]
[3,6,4,2,8,7,1,5]=>[3,7,1,2,8,4,6,5]
[3,5,2,4,8,1,6,7]=>[1,3,4,2,6,7,8,5]
[3,5,6,4,8,1,2,7]=>[2,6,1,4,3,7,8,5]
[1,5,6,4,8,7,2,3]=>[2,4,3,7,8,6,1,5]
[3,6,4,1,8,7,2,5]=>[3,7,1,2,8,6,4,5]
[3,6,4,5,8,7,2,1]=>[8,3,1,2,4,7,6,5]
[1,6,4,3,8,5,2,7]=>[3,7,4,2,6,8,1,5]
[7,1,3,4,5,8,2,6]=>[3,4,5,7,8,2,1,6]
[7,6,1,4,5,3,8,2]=>[4,6,5,8,3,2,1,7]
[7,6,1,3,5,4,8,2]=>[6,4,5,8,3,2,1,7]
[7,1,3,2,5,8,4,6]=>[3,5,7,8,2,4,1,6]
[1,6,4,2,8,5,3,7]=>[3,7,6,2,8,1,4,5]
[7,6,5,8,2,4,3,1]=>[8,5,3,2,1,7,6,4]
[7,6,5,8,3,1,4,2]=>[8,6,5,3,2,1,7,4]
[2,6,4,3,8,1,7,5]=>[3,8,4,1,2,6,7,5]
[2,6,4,3,8,5,7,1]=>[3,6,2,8,1,4,7,5]
[7,2,3,1,5,8,6,4]=>[8,2,3,5,7,4,1,6]
[7,1,5,6,3,8,4,2]=>[3,8,5,4,7,2,1,6]
[7,3,6,5,1,4,8,2]=>[6,8,2,5,4,3,1,7]
[7,2,6,5,3,8,1,4]=>[5,7,4,2,3,1,8,6]
[7,2,3,1,4,8,6,5]=>[8,2,3,7,4,5,1,6]
[7,2,3,5,4,8,6,1]=>[4,8,2,3,5,1,7,6]
[2,6,4,5,8,1,7,3]=>[3,4,2,8,1,6,7,5]
[1,5,6,4,8,3,7,2]=>[2,4,3,6,8,7,1,5]
[2,5,6,4,8,3,1,7]=>[2,4,3,7,1,6,8,5]
[3,5,6,1,4,7,8,2]=>[5,1,2,6,3,8,4,7]
[7,6,1,3,4,5,8,2]=>[4,5,6,8,3,2,1,7]
[7,1,3,2,4,8,5,6]=>[3,7,8,2,4,5,1,6]
[7,6,1,5,3,4,8,2]=>[5,6,4,8,3,2,1,7]
[7,6,1,5,4,3,8,2]=>[6,5,4,8,3,2,1,7]
[1,6,4,5,8,3,2,7]=>[3,4,2,7,6,8,1,5]
[7,6,5,8,1,3,2,4]=>[7,5,6,3,2,1,8,4]
[3,4,6,8,7,2,1,5]=>[3,7,1,2,6,8,5,4]
[3,5,6,8,2,1,7,4]=>[2,5,1,3,8,6,7,4]
[4,2,1,5,3,7,8,6]=>[2,4,1,6,8,3,5,7]
[4,2,5,6,3,1,8,7]=>[3,1,5,2,4,8,6,7]
[3,5,6,8,1,7,2,4]=>[2,7,1,3,8,5,6,4]
[4,1,5,6,3,2,8,7]=>[3,1,5,4,8,2,6,7]
[4,5,3,1,7,2,8,6]=>[1,3,2,8,6,4,5,7]
[4,1,3,5,2,7,8,6]=>[3,4,1,6,8,2,5,7]
[2,5,4,7,3,8,6,1]=>[2,8,3,5,1,4,7,6]
[3,5,7,1,8,4,2,6]=>[2,7,1,6,8,4,3,5]
[4,1,5,3,2,7,8,6]=>[4,3,1,6,8,2,5,7]
[4,5,3,7,1,2,8,6]=>[1,3,2,8,5,6,4,7]
[4,3,6,1,2,7,5,8]=>[2,1,7,4,5,3,6,8]
[5,1,3,2,4,6,7,8]=>[4,2,3,5,1,6,7,8]
[3,6,1,7,4,5,2,8]=>[5,7,1,6,3,2,4,8]
[5,1,3,4,2,6,7,8]=>[3,5,2,4,1,6,7,8]
[5,3,1,4,2,6,7,8]=>[5,3,2,4,1,6,7,8]
[4,5,2,3,7,1,8,6]=>[1,8,3,2,4,6,5,7]
[4,2,6,1,3,7,5,8]=>[7,2,1,4,5,3,6,8]
[4,6,2,1,3,7,5,8]=>[3,1,7,4,5,2,6,8]
[3,6,2,1,7,4,8,5]=>[8,1,3,6,4,2,5,7]
[3,1,4,7,6,5,2,8]=>[7,1,6,3,5,2,4,8]
[3,6,2,7,1,5,8,4]=>[6,8,1,3,2,5,4,7]
[4,6,2,7,1,3,5,8]=>[3,1,5,6,2,7,4,8]
[3,5,7,1,8,2,6,4]=>[2,8,1,6,7,4,3,5]
[5,1,4,2,3,6,7,8]=>[4,5,2,3,1,6,7,8]
[3,6,1,7,2,5,8,4]=>[6,8,1,5,3,2,4,7]
[2,6,5,3,4,7,8,1]=>[4,5,3,1,2,6,8,7]
[3,6,1,7,5,4,2,8]=>[7,6,1,5,3,2,4,8]
[5,1,4,3,2,6,7,8]=>[5,4,2,3,1,6,7,8]
[5,4,1,3,2,6,7,8]=>[5,3,4,2,1,6,7,8]
[6,4,2,5,3,8,1,7]=>[5,3,2,4,1,7,8,6]
[4,6,2,3,5,1,8,7]=>[3,1,4,5,2,8,6,7]
[6,2,4,5,1,8,3,7]=>[3,7,2,4,1,8,5,6]
[8,2,6,7,1,4,5,3]=>[6,8,5,2,3,7,4,1]
[8,2,6,7,4,1,5,3]=>[8,6,5,2,3,7,4,1]
[4,6,2,3,5,8,1,7]=>[3,1,4,5,2,7,8,6]
[2,6,4,1,5,8,3,7]=>[5,3,7,1,2,8,4,6]
[2,8,1,6,7,4,5,3]=>[6,4,8,7,1,3,5,2]
[6,8,4,5,7,2,3,1]=>[3,1,6,4,8,7,5,2]
[2,8,6,1,4,7,5,3]=>[8,5,7,4,1,3,6,2]
[2,8,1,6,4,7,5,3]=>[8,5,4,7,1,3,6,2]
[2,6,1,4,8,5,3,7]=>[7,4,6,1,2,8,3,5]
[6,4,5,2,8,3,1,7]=>[2,7,4,3,1,6,8,5]
[4,2,3,6,1,8,5,7]=>[7,2,1,3,4,8,5,6]
[4,2,3,1,6,8,5,7]=>[2,3,1,5,7,8,4,6]
[4,2,3,8,6,1,7,5]=>[1,8,6,2,3,5,7,4]
[6,4,5,8,2,3,7,1]=>[2,5,3,1,6,8,7,4]
[8,6,7,2,4,5,1,3]=>[7,4,5,2,8,6,3,1]
[6,4,8,5,2,3,7,1]=>[2,5,1,6,4,8,7,3]
[4,2,8,3,1,6,7,5]=>[4,1,6,8,2,5,7,3]
[2,4,8,1,3,6,7,5]=>[2,6,8,1,4,5,7,3]
[2,4,1,8,3,6,7,5]=>[2,6,8,1,5,7,3,4]
[2,1,4,8,6,3,7,5]=>[8,6,1,3,5,7,2,4]
[6,4,8,2,5,3,7,1]=>[2,6,4,1,5,8,7,3]
[8,6,2,4,7,5,1,3]=>[4,7,8,3,2,6,5,1]
[4,6,8,2,3,5,7,1]=>[1,4,5,2,6,8,7,3]
[2,6,8,4,1,5,7,3]=>[6,4,2,8,1,5,7,3]
[2,6,8,1,4,5,7,3]=>[5,6,2,8,1,4,7,3]
[2,1,6,8,4,5,7,3]=>[5,3,6,8,1,7,2,4]
[2,8,1,4,6,7,3,5]=>[7,4,5,8,1,3,6,2]
[4,8,6,2,3,7,5,1]=>[8,1,4,5,3,7,6,2]
[8,4,2,6,7,3,1,5]=>[2,7,6,3,4,8,5,1]
[7,6,4,5,1,3,8,2]=>[6,3,8,5,4,2,1,7]
[1,6,7,5,3,4,8,2]=>[5,2,6,4,3,8,1,7]
[7,6,2,3,8,4,1,5]=>[7,3,4,6,2,1,8,5]
[1,6,7,5,8,2,3,4]=>[6,2,7,4,3,8,1,5]
[6,2,5,8,3,4,7,1]=>[5,3,6,1,8,2,7,4]
[6,2,3,8,7,4,1,5]=>[7,6,8,2,1,3,5,4]
[2,4,7,3,5,8,6,1]=>[8,2,4,5,1,3,7,6]
[2,5,3,7,1,8,4,6]=>[7,2,8,1,3,5,4,6]
[5,2,8,3,1,4,6,7]=>[5,2,4,1,6,7,8,3]
[4,8,2,3,6,5,7,1]=>[1,6,3,4,5,8,7,2]
[5,8,1,3,6,4,7,2]=>[6,4,1,5,8,3,7,2]
[5,8,1,4,3,6,2,7]=>[5,4,1,7,3,6,8,2]
[5,8,4,1,3,7,6,2]=>[1,8,5,3,7,4,6,2]
[6,4,5,3,8,1,7,2]=>[2,4,3,1,8,6,7,5]
[4,6,5,3,7,1,2,8]=>[6,1,4,3,2,7,5,8]
[4,5,1,3,6,2,8,7]=>[4,1,5,2,8,3,6,7]
[4,2,6,5,1,7,3,8]=>[1,7,5,2,4,3,6,8]
[4,3,5,7,2,1,6,8]=>[2,1,3,6,5,7,4,8]
[3,4,7,6,8,1,2,5]=>[6,7,1,2,4,3,8,5]
[3,4,6,2,5,8,7,1]=>[8,1,2,4,3,5,7,6]
[3,5,2,4,6,1,8,7]=>[1,3,4,2,5,8,6,7]
[4,2,5,1,6,8,3,7]=>[5,2,1,3,7,8,4,6]
[1,8,2,3,6,5,7,4]=>[6,5,8,3,4,7,1,2]
[4,2,8,3,5,7,1,6]=>[4,1,5,7,8,2,6,3]
[4,3,8,6,5,7,1,2]=>[7,1,5,2,4,8,6,3]
[1,3,7,2,6,5,8,4]=>[6,5,8,2,4,1,3,7]
[1,3,6,4,2,5,8,7]=>[4,8,2,5,1,3,6,7]
[1,5,4,7,3,6,8,2]=>[3,2,5,6,4,8,1,7]
[5,2,3,8,4,1,7,6]=>[5,8,2,1,3,6,7,4]
[7,5,3,4,8,2,1,6]=>[3,4,2,7,6,1,8,5]
[7,2,8,3,4,1,5,6]=>[4,6,2,5,7,1,8,3]
[7,4,3,8,5,2,6,1]=>[2,6,3,5,1,8,7,4]
[4,6,2,7,3,1,5,8]=>[1,6,3,5,2,7,4,8]
[7,6,3,8,2,4,5,1]=>[3,5,6,2,1,8,7,4]
[7,2,8,5,1,3,4,6]=>[5,6,7,2,4,1,8,3]
[1,5,3,7,6,8,4,2]=>[2,5,4,8,3,7,1,6]
[1,6,3,7,8,2,4,5]=>[6,7,3,2,4,8,1,5]
[1,4,3,7,8,5,2,6]=>[7,2,6,3,4,8,1,5]
[4,2,6,5,7,8,3,1]=>[1,4,3,5,8,2,7,6]
[4,2,6,7,5,8,1,3]=>[1,3,7,5,2,4,8,6]
[3,2,4,7,8,5,1,6]=>[7,1,6,2,3,4,8,5]
[3,2,6,7,8,1,4,5]=>[6,1,3,7,2,4,8,5]
[5,1,8,3,6,4,7,2]=>[6,4,1,5,8,7,2,3]
[3,6,8,5,7,2,1,4]=>[2,7,6,1,4,8,5,3]
[5,1,3,8,7,6,4,2]=>[1,8,7,6,3,5,2,4]
[3,8,5,6,1,7,2,4]=>[7,3,8,1,5,4,6,2]
[3,4,8,1,7,6,2,5]=>[7,8,1,2,6,4,5,3]
[4,7,6,8,5,1,3,2]=>[8,6,1,3,2,7,5,4]
[6,7,4,8,5,1,3,2]=>[3,1,8,6,2,7,5,4]
[5,3,6,8,7,1,4,2]=>[3,1,8,2,6,7,5,4]
[1,8,4,6,7,2,5,3]=>[8,3,6,4,7,5,1,2]
[5,2,8,3,7,1,6,4]=>[8,4,1,6,7,2,5,3]
[7,4,5,8,6,1,3,2]=>[2,3,8,6,1,7,5,4]
[4,3,6,8,7,1,5,2]=>[1,3,8,2,6,7,5,4]
[6,4,8,3,1,7,5,2]=>[2,4,1,8,7,5,6,3]
[3,6,5,8,7,1,4,2]=>[3,2,8,1,6,7,5,4]
[5,7,4,8,2,6,3,1]=>[1,3,8,5,2,7,6,4]
[5,6,4,8,2,7,3,1]=>[1,3,2,8,5,7,6,4]
[5,6,8,3,1,7,4,2]=>[1,4,2,8,7,5,6,3]
[4,6,3,8,2,7,5,1]=>[8,1,3,2,5,7,6,4]
[5,3,8,1,7,2,6,4]=>[8,2,1,6,7,4,5,3]
[6,5,8,1,3,7,4,2]=>[8,5,2,1,7,4,6,3]
[6,5,3,8,2,7,4,1]=>[8,3,2,1,5,7,6,4]
[6,4,8,1,3,7,5,2]=>[2,8,5,1,7,4,6,3]
[6,2,8,3,4,7,5,1]=>[8,4,5,1,7,2,6,3]
[7,6,3,1,4,2,5,8]=>[6,4,3,5,7,2,1,8]
[1,5,4,3,7,8,2,6]=>[3,2,7,4,5,8,1,6]
[7,8,4,2,5,3,1,6]=>[7,4,3,6,5,1,8,2]
[4,2,7,8,5,3,1,6]=>[7,1,6,5,2,3,8,4]
[4,2,5,3,1,7,8,6]=>[4,2,1,3,6,8,5,7]
[4,2,8,7,6,3,1,5]=>[7,1,6,8,5,2,4,3]
[4,2,7,6,3,1,5,8]=>[1,6,5,7,2,4,3,8]
[6,3,1,7,5,2,4,8]=>[2,6,7,5,3,1,4,8]
[6,3,1,8,7,5,2,4]=>[7,8,2,1,6,5,3,4]
[8,6,3,1,7,5,2,4]=>[3,7,8,6,4,2,5,1]
[4,2,7,6,3,1,8,5]=>[1,5,8,6,2,4,3,7]
[7,6,3,1,8,4,2,5]=>[3,7,6,8,4,2,1,5]
[7,6,4,2,1,8,3,5]=>[4,7,3,8,5,2,1,6]
[1,8,2,7,6,4,3,5]=>[7,6,8,5,3,4,1,2]
[8,3,5,7,6,4,2,1]=>[8,3,7,2,6,5,4,1]
[8,4,2,5,7,6,3,1]=>[2,8,4,7,3,6,5,1]
[7,5,2,4,8,6,3,1]=>[8,4,2,7,3,1,6,5]
[8,7,5,2,4,6,3,1]=>[5,8,4,3,7,6,2,1]
[7,5,2,4,6,3,1,8]=>[4,7,3,2,6,5,1,8]
[5,2,8,6,3,7,4,1]=>[1,8,5,4,7,2,6,3]
[8,4,7,5,2,6,3,1]=>[8,2,5,4,7,6,3,1]
[8,3,6,4,7,5,2,1]=>[8,4,2,3,7,6,5,1]
[1,8,2,7,5,3,6,4]=>[8,6,5,7,3,4,1,2]
[7,5,2,1,8,3,6,4]=>[8,3,6,2,7,4,1,5]
[7,5,2,6,3,1,8,4]=>[5,8,3,2,6,4,1,7]
[5,2,7,4,1,8,6,3]=>[4,1,8,7,2,5,3,6]
[5,2,8,7,4,1,6,3]=>[1,8,6,5,7,2,4,3]
[8,7,4,1,5,2,6,3]=>[8,6,4,3,5,7,2,1]
[7,4,1,5,2,8,6,3]=>[4,2,8,7,3,5,1,6]
[7,6,3,1,4,2,8,5]=>[5,3,8,4,6,2,1,7]
[7,5,2,8,6,3,1,4]=>[7,6,2,8,3,1,5,4]
[8,7,5,2,6,3,1,4]=>[7,4,6,3,8,5,2,1]
[7,5,2,1,3,6,4,8]=>[3,7,4,5,2,6,1,8]
[8,7,5,2,1,3,6,4]=>[4,8,5,6,3,7,2,1]
[7,5,2,1,3,8,6,4]=>[8,3,7,4,2,5,1,6]
[1,3,7,6,5,8,2,4]=>[7,5,4,2,3,8,1,6]
[8,6,4,7,5,2,1,3]=>[3,7,6,2,8,5,4,1]
[6,4,8,7,5,2,1,3]=>[7,2,1,6,8,5,4,3]
[6,4,7,5,2,1,3,8]=>[2,6,5,1,7,4,3,8]
[6,3,1,4,7,5,2,8]=>[2,7,4,6,3,1,5,8]
[6,3,1,4,8,7,5,2]=>[8,2,7,4,1,6,3,5]
[8,6,3,1,4,7,5,2]=>[3,8,5,7,4,2,6,1]
[8,5,7,6,3,1,4,2]=>[2,8,6,5,7,4,3,1]
[1,8,2,5,7,6,4,3]=>[8,4,7,6,3,5,1,2]
[1,8,2,6,4,7,5,3]=>[8,5,4,7,3,6,1,2]
[7,5,2,1,6,4,8,3]=>[6,3,5,2,8,4,1,7]
[6,3,8,7,4,1,5,2]=>[8,6,2,1,5,7,4,3]
[6,3,7,4,1,5,2,8]=>[7,2,5,4,1,6,3,8]
[7,4,1,6,3,5,2,8]=>[5,2,7,6,3,4,1,8]
[7,4,1,8,6,3,5,2]=>[2,6,8,7,5,3,1,4]
[8,4,6,3,1,7,5,2]=>[2,4,8,7,5,3,6,1]
[6,4,7,5,2,1,8,3]=>[2,5,1,8,6,4,3,7]
[1,6,4,7,5,3,8,2]=>[6,3,2,5,4,8,1,7]
[8,6,3,5,2,7,4,1]=>[8,3,5,4,2,7,6,1]
[6,3,5,2,8,7,4,1]=>[3,8,2,1,7,4,6,5]
[6,3,5,2,7,4,1,8]=>[7,2,4,3,1,6,5,8]
[4,5,7,2,6,3,1,8]=>[1,2,7,4,6,5,3,8]
[3,5,8,4,6,1,7,2]=>[2,4,8,1,6,5,7,3]
[1,4,7,3,5,2,6,8]=>[2,4,6,5,7,1,3,8]
[5,7,4,2,6,3,1,8]=>[1,7,4,3,6,5,2,8]
[4,2,6,3,5,7,1,8]=>[4,1,5,2,3,7,6,8]
[1,4,5,8,2,7,3,6]=>[2,3,7,8,5,6,1,4]
[2,4,5,8,1,6,7,3]=>[2,3,6,8,1,5,7,4]
[8,3,4,7,1,6,5,2]=>[8,2,3,7,5,6,4,1]
[4,2,5,7,8,1,6,3]=>[1,8,3,6,2,4,7,5]
[8,3,4,6,5,1,7,2]=>[8,2,3,6,5,4,7,1]
[4,1,7,3,5,2,6,8]=>[4,1,6,5,7,2,3,8]
[6,1,3,7,4,2,5,8]=>[6,3,5,7,2,1,4,8]
[3,1,6,8,2,7,4,5]=>[7,1,3,8,5,6,2,4]
[6,1,3,8,2,5,4,7]=>[7,3,5,6,1,8,2,4]
[4,8,2,3,1,6,7,5]=>[3,1,4,6,8,5,7,2]
[3,2,6,8,1,5,7,4]=>[6,1,3,8,2,5,7,4]
[8,2,6,1,5,4,7,3]=>[6,5,8,2,4,3,7,1]
[8,6,2,7,1,5,4,3]=>[8,7,3,5,2,6,4,1]
[7,6,8,3,1,5,4,2]=>[4,8,7,5,2,1,6,3]
[5,7,4,2,8,1,6,3]=>[1,8,4,3,6,2,7,5]
[6,3,7,2,8,1,5,4]=>[8,2,4,1,6,3,7,5]
[7,5,2,8,6,1,4,3]=>[8,6,2,7,3,1,5,4]
[2,7,3,8,1,5,6,4]=>[6,8,3,5,1,2,7,4]
[1,6,8,5,2,4,3,7]=>[7,5,2,6,4,8,1,3]
[4,5,7,2,8,1,6,3]=>[1,2,8,4,6,3,7,5]
[4,5,6,8,3,1,7,2]=>[1,2,3,8,6,5,7,4]
[8,4,6,5,3,1,7,2]=>[8,2,6,5,4,3,7,1]
[5,6,4,8,3,1,7,2]=>[1,3,2,8,6,5,7,4]
[3,4,7,1,2,6,5,8]=>[1,2,7,4,5,6,3,8]
[4,8,1,6,2,3,7,5]=>[1,8,5,6,3,4,7,2]
[4,5,3,1,7,2,6,8]=>[1,6,3,2,7,4,5,8]
[4,7,3,1,2,6,5,8]=>[1,7,4,3,5,6,2,8]
[5,2,7,1,3,6,4,8]=>[7,2,4,1,5,6,3,8]
[7,8,1,2,4,3,6,5]=>[5,8,3,4,6,1,7,2]
[8,4,1,6,2,3,7,5]=>[8,5,2,6,3,4,7,1]
[4,8,3,1,2,5,7,6]=>[1,8,4,3,5,6,7,2]
[4,1,3,6,5,7,8,2]=>[5,3,1,4,6,8,2,7]
[6,1,3,4,2,8,5,7]=>[3,4,7,8,2,1,5,6]
[8,1,4,2,5,7,6,3]=>[3,8,5,7,2,4,6,1]
[8,1,4,3,5,7,6,2]=>[3,8,4,5,7,2,6,1]
[5,2,4,1,3,7,8,6]=>[6,2,3,1,8,4,5,7]
[2,6,5,3,1,7,8,4]=>[4,6,3,1,2,8,5,7]
[8,3,2,1,5,7,6,4]=>[2,8,3,5,7,4,6,1]
[1,7,4,3,6,8,2,5]=>[3,7,4,5,2,8,1,6]
[2,7,6,3,1,8,4,5]=>[4,7,8,5,1,3,2,6]
[2,8,4,6,3,7,5,1]=>[8,3,5,4,7,1,6,2]
[8,7,1,3,6,5,4,2]=>[8,7,4,6,3,5,2,1]
[1,8,5,7,4,2,6,3]=>[3,8,6,5,7,4,1,2]
[3,8,6,5,7,1,4,2]=>[8,6,4,1,3,7,5,2]
[4,8,6,2,7,1,5,3]=>[8,1,4,6,3,7,5,2]
[4,7,5,3,8,2,1,6]=>[4,1,3,7,6,2,8,5]
[1,6,5,8,3,4,2,7]=>[5,3,2,7,6,8,1,4]
[6,1,5,3,8,4,2,7]=>[7,4,3,6,1,8,2,5]
[8,1,5,4,7,2,6,3]=>[4,3,8,6,7,2,5,1]
[2,1,4,7,5,8,3,6]=>[5,7,1,3,4,8,2,6]
[6,3,5,8,7,4,1,2]=>[3,7,1,8,2,6,5,4]
[4,7,2,8,5,6,3,1]=>[5,8,1,7,3,2,6,4]
[1,4,8,7,3,5,6,2]=>[5,6,8,2,7,4,1,3]
[8,1,7,6,3,5,4,2]=>[8,5,7,6,4,2,3,1]
[3,6,8,5,7,4,1,2]=>[2,7,4,8,1,6,5,3]
[4,7,6,8,5,3,1,2]=>[7,3,1,2,8,6,5,4]
[5,7,2,8,6,4,1,3]=>[1,7,8,6,3,2,5,4]
[3,8,7,5,6,4,2,1]=>[4,8,7,6,1,5,3,2]
[2,8,7,6,4,5,3,1]=>[5,8,7,6,4,1,3,2]
[1,8,7,6,5,3,4,2]=>[6,8,7,5,4,3,1,2]
[4,6,7,2,5,3,1,8]=>[7,1,4,2,6,5,3,8]
[3,6,7,4,8,1,5,2]=>[4,2,8,1,6,3,7,5]
[3,8,5,7,6,1,4,2]=>[3,8,6,7,1,5,4,2]
[1,4,7,8,2,6,5,3]=>[8,7,2,5,3,6,1,4]
[2,4,7,8,1,6,5,3]=>[8,7,2,5,1,3,6,4]
[4,2,6,8,7,1,5,3]=>[1,3,8,6,7,2,5,4]
[3,1,7,8,2,6,5,4]=>[8,7,1,5,3,6,2,4]
[6,1,3,8,2,7,5,4]=>[8,7,3,5,1,6,2,4]
[5,1,8,4,2,7,6,3]=>[4,1,8,7,5,6,2,3]
[8,2,6,1,7,5,4,3]=>[8,7,6,2,4,3,5,1]
[6,8,3,7,1,5,4,2]=>[8,3,1,7,5,6,4,2]
[2,7,3,8,1,6,5,4]=>[8,7,3,5,1,2,6,4]
[1,7,3,8,2,6,5,4]=>[8,7,3,5,2,6,1,4]
[2,6,8,4,1,7,5,3]=>[4,2,8,7,1,5,6,3]
[4,5,8,6,3,1,7,2]=>[8,1,2,6,5,4,7,3]
[4,6,7,1,2,8,5,3]=>[8,1,7,4,2,5,3,6]
[3,6,1,8,2,7,5,4]=>[8,7,1,5,2,6,3,4]
[5,7,4,1,2,8,6,3]=>[1,8,7,4,3,5,2,6]
[6,3,7,1,2,8,5,4]=>[8,2,7,4,1,5,3,6]
[6,2,1,8,3,7,5,4]=>[8,7,2,5,1,6,3,4]
[8,1,5,6,3,2,4,7]=>[6,5,3,7,2,4,8,1]
[1,7,8,3,5,2,4,6]=>[4,6,7,5,2,8,1,3]
[8,5,3,7,2,4,6,1]=>[3,5,2,6,8,7,4,1]
[1,7,2,4,8,5,3,6]=>[7,4,6,8,3,1,2,5]
[1,7,8,5,4,3,2,6]=>[7,6,5,4,2,8,1,3]
[2,6,8,7,4,3,5,1]=>[2,6,5,8,7,1,4,3]
[1,2,6,7,8,4,3,5]=>[3,7,6,4,8,1,2,5]
[2,7,5,8,4,1,3,6]=>[6,3,7,5,1,2,8,4]
[2,1,7,8,4,5,3,6]=>[5,7,6,1,3,8,2,4]
[3,7,8,2,1,5,4,6]=>[4,7,1,5,6,2,8,3]
[8,5,1,4,7,3,6,2]=>[4,6,2,8,7,3,5,1]
[8,4,7,5,3,6,1,2]=>[7,2,5,4,8,6,3,1]
[8,1,4,6,7,3,5,2]=>[6,3,4,8,7,2,5,1]
[3,5,8,6,7,4,1,2]=>[7,2,4,8,1,6,5,3]
[3,6,8,4,7,1,5,2]=>[4,2,8,1,6,7,5,3]
[4,7,1,3,6,8,2,5]=>[1,7,4,5,8,3,2,6]
[3,7,6,4,8,1,2,5]=>[6,4,7,1,3,2,8,5]
[3,1,7,5,6,8,2,4]=>[4,7,1,5,3,8,2,6]
[2,3,6,5,7,1,8,4]=>[4,3,8,1,2,6,5,7]
[3,7,5,4,2,1,8,6]=>[5,4,1,3,8,6,2,7]
[1,3,6,7,4,2,8,5]=>[5,3,8,2,6,1,4,7]
[3,6,4,8,2,7,5,1]=>[8,3,1,2,5,7,6,4]
[1,4,6,3,2,7,8,5]=>[2,4,6,3,8,1,5,7]
[8,7,1,5,6,3,2,4]=>[7,6,4,8,3,5,2,1]
[8,1,6,7,5,3,2,4]=>[7,6,3,8,5,2,4,1]
[1,7,8,6,5,3,2,4]=>[7,6,2,8,5,4,1,3]
[8,7,2,4,6,5,3,1]=>[8,4,7,3,6,5,2,1]
[1,7,8,2,6,4,5,3]=>[6,8,7,4,2,5,1,3]
[8,7,2,5,4,6,1,3]=>[7,5,3,4,8,6,2,1]
[8,7,2,5,3,1,6,4]=>[5,8,3,6,4,7,2,1]
[8,7,3,2,1,5,6,4]=>[4,3,6,8,5,7,2,1]
[8,2,6,7,3,1,5,4]=>[5,8,6,2,3,7,4,1]
[1,7,2,8,5,6,4,3]=>[5,8,7,6,3,1,2,4]
[2,7,1,8,4,6,5,3]=>[8,5,7,6,1,3,2,4]
[3,7,8,2,1,6,5,4]=>[8,4,7,1,5,2,6,3]
[8,7,6,1,4,5,3,2]=>[5,8,7,4,6,3,2,1]
[4,8,1,2,3,7,5,6]=>[7,1,8,3,4,5,6,2]
[1,8,2,3,6,5,4,7]=>[7,6,3,4,5,8,1,2]
[3,5,8,4,7,2,6,1]=>[2,4,6,8,1,7,5,3]
[1,8,5,4,6,2,3,7]=>[6,4,3,7,5,8,1,2]
[3,8,5,4,6,1,2,7]=>[6,4,1,3,7,5,8,2]
[3,8,5,1,6,4,2,7]=>[7,6,1,4,3,5,8,2]
[2,8,5,4,6,1,3,7]=>[6,4,3,7,1,5,8,2]
[2,8,5,4,6,3,1,7]=>[4,3,7,6,1,5,8,2]
[1,8,5,4,6,3,2,7]=>[4,3,7,6,5,8,1,2]
[2,5,8,4,7,3,6,1]=>[2,4,6,8,7,1,5,3]
[3,6,4,2,7,8,5,1]=>[3,5,1,2,8,4,7,6]
[3,5,4,1,6,2,7,8]=>[6,1,4,3,2,5,7,8]
[4,5,8,1,7,6,2,3]=>[1,2,7,8,6,4,5,3]
[3,5,8,4,7,1,6,2]=>[2,4,8,1,6,7,5,3]
[1,5,8,4,7,3,6,2]=>[2,4,6,8,7,5,1,3]
[3,6,4,1,7,8,5,2]=>[3,5,1,2,8,7,4,6]
[3,6,4,8,7,5,2,1]=>[2,8,7,1,3,6,5,4]
[1,6,4,3,7,8,5,2]=>[3,5,2,8,4,7,1,6]
[7,1,3,4,8,6,5,2]=>[8,7,3,4,6,2,1,5]
[7,6,1,3,8,4,2,5]=>[7,4,6,8,3,2,1,5]
[1,6,4,2,7,8,3,5]=>[3,7,5,2,8,1,4,6]
[2,6,4,3,7,1,8,5]=>[3,8,4,1,2,6,5,7]
[2,6,4,1,7,8,3,5]=>[3,7,5,1,2,8,4,6]
[7,2,3,4,8,6,5,1]=>[8,7,2,3,4,1,6,5]
[7,2,3,1,8,6,4,5]=>[7,8,2,3,6,4,1,5]
[7,2,3,4,1,6,8,5]=>[2,3,4,6,8,5,1,7]
[1,2,4,3,8,5,7,6]=>[8,3,6,7,1,2,4,5]
[7,3,8,6,1,4,2,5]=>[7,2,5,6,1,8,4,3]
[7,2,8,6,3,4,1,5]=>[5,7,6,8,2,1,4,3]
[7,2,3,1,5,6,8,4]=>[2,3,5,6,8,4,1,7]
[7,2,3,8,1,6,5,4]=>[8,7,2,3,5,1,6,4]
[7,2,3,8,5,6,4,1]=>[5,8,7,2,3,1,6,4]
[2,6,4,8,7,1,5,3]=>[8,3,2,6,7,1,5,4]
[1,5,8,4,7,6,2,3]=>[2,4,7,8,6,5,1,3]
[3,5,8,1,6,7,2,4]=>[2,7,1,5,8,4,6,3]
[7,6,1,3,5,8,2,4]=>[7,4,5,8,3,2,1,6]
[7,1,3,2,5,6,8,4]=>[3,5,6,8,2,4,1,7]
[7,1,3,8,2,6,5,4]=>[8,7,3,5,6,2,1,4]
[7,6,1,8,5,4,2,3]=>[7,8,6,5,3,2,1,4]
[4,1,6,5,8,2,7,3]=>[1,4,3,8,6,7,2,5]
[3,1,6,5,8,4,7,2]=>[4,1,3,6,8,7,2,5]
[3,2,6,5,8,4,7,1]=>[4,1,3,6,8,2,7,5]
[4,3,7,1,6,5,8,2]=>[1,6,2,5,8,4,3,7]
[5,2,6,4,8,3,7,1]=>[4,3,1,6,8,2,7,5]
[5,1,6,4,8,3,7,2]=>[4,3,1,6,8,7,2,5]
[5,1,6,4,8,2,7,3]=>[4,3,1,8,6,7,2,5]
[5,2,6,4,8,1,7,3]=>[4,3,1,8,2,6,7,5]
[4,3,7,5,8,1,6,2]=>[1,4,8,2,6,3,7,5]
[4,3,7,5,8,2,6,1]=>[1,4,6,2,3,8,7,5]
[5,3,7,4,8,2,6,1]=>[4,1,6,2,3,8,7,5]
[5,3,7,4,8,1,6,2]=>[4,1,8,2,6,3,7,5]
[5,4,8,1,6,2,7,3]=>[2,1,8,6,4,5,7,3]
[4,3,7,2,6,1,8,5]=>[1,8,2,4,6,5,3,7]
[4,3,7,1,5,2,8,6]=>[2,1,5,8,4,6,3,7]
[4,3,7,1,6,2,8,5]=>[1,8,2,6,4,5,3,7]
[5,4,8,2,6,3,7,1]=>[2,1,6,4,5,8,7,3]
[5,4,8,1,6,3,7,2]=>[2,1,6,5,8,4,7,3]
[4,1,7,5,2,3,6,8]=>[5,1,6,4,7,2,3,8]
[4,1,7,8,6,3,2,5]=>[7,1,6,3,8,5,2,4]
[4,7,2,8,3,5,1,6]=>[1,5,7,3,6,2,8,4]
[1,2,6,8,3,7,4,5]=>[7,3,8,5,6,1,2,4]
[6,8,3,2,1,4,7,5]=>[4,3,8,5,1,6,7,2]
[7,2,4,1,6,5,8,3]=>[3,6,2,5,8,4,1,7]
[7,5,8,4,3,1,6,2]=>[2,8,6,5,4,1,7,3]
[6,8,2,4,1,3,7,5]=>[8,3,5,4,1,6,7,2]
[2,8,4,7,6,3,5,1]=>[6,8,3,7,5,1,4,2]
[6,1,2,7,5,8,4,3]=>[5,4,8,7,2,1,3,6]
[4,2,7,3,8,5,6,1]=>[1,6,8,4,2,3,7,5]
[4,5,2,6,8,3,7,1]=>[1,4,2,6,8,3,7,5]
[4,8,3,2,5,7,6,1]=>[1,3,8,4,5,7,6,2]
[7,2,4,3,8,5,6,1]=>[3,6,8,2,4,1,7,5]
[6,8,5,3,4,7,2,1]=>[4,1,5,3,8,7,6,2]
[8,4,7,6,2,3,5,1]=>[2,5,6,8,7,4,3,1]
[6,8,4,1,5,3,7,2]=>[6,5,3,1,8,4,7,2]
[8,3,4,7,6,2,5,1]=>[6,8,2,3,7,5,4,1]
[1,8,3,5,2,6,7,4]=>[6,3,4,8,5,7,1,2]
[6,8,3,5,1,4,7,2]=>[3,6,1,8,5,4,7,2]
[6,8,5,4,2,3,7,1]=>[5,1,6,4,3,8,7,2]
[5,8,2,4,3,7,6,1]=>[4,1,8,3,5,7,6,2]
[8,2,1,3,5,6,4,7]=>[2,5,7,3,4,6,8,1]
[8,2,1,3,5,4,7,6]=>[2,5,8,3,4,6,7,1]
[8,2,1,3,4,6,7,5]=>[2,6,8,3,4,5,7,1]
[8,1,3,4,2,6,5,7]=>[3,4,7,2,5,6,8,1]
[8,1,3,4,2,5,7,6]=>[3,4,8,2,5,6,7,1]
[8,1,3,2,5,6,4,7]=>[3,5,7,2,4,6,8,1]
[8,1,2,4,5,3,7,6]=>[4,5,8,2,3,6,7,1]
[8,1,2,4,3,6,7,5]=>[4,6,8,2,3,5,7,1]
[6,5,3,8,4,2,7,1]=>[6,3,2,1,5,8,7,4]
[7,4,5,1,6,2,8,3]=>[2,8,6,4,3,5,1,7]
[4,7,3,5,6,2,8,1]=>[1,3,4,6,5,2,8,7]
[6,7,8,4,1,3,5,2]=>[6,1,8,5,4,2,7,3]
[3,1,6,8,4,7,5,2]=>[3,8,1,5,7,6,2,4]
[8,3,6,1,5,7,4,2]=>[5,8,2,7,4,3,6,1]
[3,2,7,5,8,6,1,4]=>[4,7,1,3,8,2,6,5]
[2,5,4,7,8,1,6,3]=>[2,8,3,6,1,4,7,5]
[2,4,6,7,8,1,5,3]=>[3,8,2,6,1,4,7,5]
[2,4,6,8,1,7,5,3]=>[3,8,2,7,1,5,6,4]
[7,4,3,8,6,2,1,5]=>[2,7,3,6,1,8,5,4]
[2,4,7,8,3,5,6,1]=>[5,6,2,3,8,1,7,4]
[3,2,7,6,1,8,4,5]=>[7,8,1,5,2,4,3,6]
[3,2,6,8,1,7,4,5]=>[7,1,3,8,2,5,6,4]
[4,3,6,2,1,8,5,7]=>[2,1,4,7,3,8,5,6]
[3,6,4,2,5,8,1,7]=>[4,1,3,5,2,7,8,6]
[4,6,2,3,7,5,8,1]=>[1,6,3,4,2,5,8,7]
[5,8,4,2,3,6,7,1]=>[4,1,5,3,6,8,7,2]
[8,4,5,3,2,1,7,6]=>[2,5,4,3,8,6,7,1]
[5,8,3,4,2,1,7,6]=>[3,1,5,4,8,6,7,2]
[6,8,4,2,3,7,5,1]=>[8,4,3,1,5,7,6,2]
[6,4,8,3,2,7,1,5]=>[2,5,4,1,7,8,6,3]
[5,8,3,7,2,1,6,4]=>[3,1,5,8,6,7,4,2]
[2,5,6,4,7,1,8,3]=>[2,4,3,8,1,6,5,7]
[2,5,4,8,1,6,7,3]=>[3,2,6,8,1,5,7,4]
[6,4,7,3,8,2,1,5]=>[2,4,1,7,6,3,8,5]
[6,7,4,3,2,1,8,5]=>[5,4,3,1,8,6,2,7]
[8,4,3,7,2,1,5,6]=>[3,2,6,5,7,8,4,1]
[1,2,6,5,8,7,3,4]=>[4,3,7,8,6,1,2,5]
[1,5,2,8,4,6,7,3]=>[5,2,6,8,7,1,3,4]
[1,5,2,7,4,6,8,3]=>[5,2,6,4,8,1,3,7]
[5,1,2,7,3,6,8,4]=>[6,8,5,2,1,3,4,7]
[5,1,2,8,3,6,7,4]=>[6,8,5,1,7,2,3,4]
[5,6,3,4,8,7,2,1]=>[1,8,3,2,4,7,6,5]
[6,5,3,4,8,7,2,1]=>[8,3,2,1,4,7,6,5]
[4,1,2,8,3,6,7,5]=>[6,1,8,5,7,2,3,4]
[4,1,2,7,3,6,8,5]=>[6,1,8,5,2,3,4,7]
[7,5,3,8,4,6,2,1]=>[5,2,8,3,1,7,6,4]
[8,5,3,7,4,6,2,1]=>[5,2,8,3,7,6,4,1]
[7,1,2,8,3,6,4,5]=>[7,8,5,6,2,3,1,4]
[6,1,8,2,3,5,7,4]=>[6,8,4,5,1,7,2,3]
[6,1,7,2,3,5,8,4]=>[6,8,4,5,2,1,3,7]
[1,6,8,2,4,5,7,3]=>[5,6,2,8,4,7,1,3]
[4,3,8,7,5,6,2,1]=>[5,8,1,7,2,6,4,3]
[1,8,2,7,4,6,5,3]=>[8,5,7,6,3,4,1,2]
[7,1,6,2,3,5,8,4]=>[6,8,4,5,2,3,1,7]
[8,1,6,2,3,5,7,4]=>[6,8,4,5,2,3,7,1]
[8,1,7,2,3,5,6,4]=>[6,8,4,5,7,2,3,1]
[5,8,3,7,4,6,2,1]=>[1,5,8,3,7,6,4,2]
[6,8,7,3,4,5,2,1]=>[4,1,5,8,7,6,3,2]
[1,8,7,2,4,5,3,6]=>[5,7,4,6,8,3,1,2]
[8,7,1,2,3,4,6,5]=>[8,3,4,5,6,7,2,1]
[8,6,1,2,3,4,7,5]=>[8,3,4,5,6,2,7,1]
[8,1,6,2,3,5,4,7]=>[7,4,5,6,2,3,8,1]
[1,7,6,2,4,5,3,8]=>[5,7,4,6,3,1,2,8]
[1,8,7,4,6,3,5,2]=>[4,6,8,7,5,3,1,2]
[6,3,7,5,1,4,8,2]=>[6,8,2,1,5,4,3,7]
[4,2,5,8,7,3,6,1]=>[1,6,8,3,7,2,5,4]
[1,8,3,5,7,2,6,4]=>[4,8,3,6,7,5,1,2]
[2,3,4,6,8,5,7,1]=>[4,6,8,1,2,3,7,5]
[2,3,5,7,4,8,6,1]=>[8,3,5,1,2,4,7,6]
[2,4,6,3,7,8,5,1]=>[5,2,3,8,1,4,7,6]
[2,5,7,1,8,6,3,4]=>[2,7,8,6,1,4,3,5]
[8,2,4,5,1,3,7,6]=>[3,8,2,5,4,6,7,1]
[1,3,8,5,2,4,6,7]=>[5,6,2,4,7,8,1,3]
[2,6,7,1,8,4,5,3]=>[6,2,8,7,1,4,3,5]
[5,8,3,1,4,2,6,7]=>[6,4,3,1,5,7,8,2]
[3,8,4,2,6,7,1,5]=>[3,7,1,4,5,8,6,2]
[2,4,1,8,5,6,3,7]=>[2,5,7,1,6,8,3,4]
[1,6,2,7,8,5,3,4]=>[7,4,2,8,6,1,3,5]
[3,5,2,6,7,8,4,1]=>[4,1,2,5,8,3,7,6]
[4,5,1,6,7,3,8,2]=>[1,4,2,6,5,8,3,7]
[2,8,4,1,7,5,3,6]=>[3,7,6,8,1,4,5,2]
[8,5,3,1,7,4,2,6]=>[3,7,6,2,8,4,5,1]
[4,2,8,7,1,5,3,6]=>[1,7,5,6,8,2,4,3]
[5,2,6,8,1,7,4,3]=>[3,1,8,7,2,5,6,4]
[5,7,3,2,6,8,1,4]=>[3,1,7,4,5,2,8,6]
[8,4,7,3,1,6,2,5]=>[2,7,4,8,5,6,3,1]
[6,7,1,2,3,5,8,4]=>[6,8,3,4,1,5,2,7]
[3,1,6,7,8,4,2,5]=>[3,7,1,6,4,8,2,5]
[3,1,4,8,5,6,2,7]=>[1,5,7,3,6,8,2,4]
[8,3,1,4,5,7,2,6]=>[4,2,5,7,8,3,6,1]
[8,6,2,3,5,1,4,7]=>[3,4,6,7,5,2,8,1]
[8,2,4,5,7,3,1,6]=>[3,4,7,2,6,8,5,1]
[2,6,3,8,7,5,4,1]=>[2,8,7,6,1,3,5,4]
[8,2,3,7,5,4,1,6]=>[7,6,2,3,5,8,4,1]
[8,2,6,3,5,4,1,7]=>[7,4,6,2,5,3,8,1]
[8,6,1,5,2,4,3,7]=>[7,5,6,3,4,2,8,1]
[8,6,2,4,1,5,3,7]=>[7,3,5,4,6,2,8,1]
[8,4,1,6,5,3,2,7]=>[2,7,6,5,3,4,8,1]
[8,3,6,1,5,4,2,7]=>[7,2,6,4,5,3,8,1]
[8,3,2,6,5,4,1,7]=>[7,2,6,3,5,4,8,1]
[8,3,2,5,7,4,1,6]=>[2,4,7,3,6,8,5,1]
[8,3,1,7,5,4,2,6]=>[7,2,6,5,8,3,4,1]
[8,2,7,4,1,5,3,6]=>[7,5,2,4,6,8,3,1]
[6,1,3,8,7,5,4,2]=>[8,7,6,3,1,5,2,4]
[3,6,1,8,7,5,4,2]=>[2,8,7,1,6,5,3,4]
[3,8,1,5,7,6,4,2]=>[8,4,7,1,6,3,5,2]
[3,5,2,8,7,6,4,1]=>[8,2,7,1,6,3,5,4]
[3,4,8,2,7,6,5,1]=>[8,7,1,2,4,6,5,3]
[3,4,8,7,1,6,5,2]=>[8,7,1,2,5,6,4,3]
[8,1,3,5,7,6,4,2]=>[8,4,7,3,6,2,5,1]
[4,1,8,5,7,6,3,2]=>[8,1,4,7,6,5,2,3]
[8,2,7,1,4,5,6,3]=>[5,6,8,2,4,7,3,1]
[8,1,7,3,4,6,2,5]=>[4,5,7,8,6,2,3,1]
[8,3,1,7,2,6,5,4]=>[8,2,7,5,6,3,4,1]
[3,8,2,4,7,6,5,1]=>[8,7,1,3,4,6,5,2]
[2,8,3,7,4,6,5,1]=>[8,5,7,3,6,1,4,2]
[8,2,3,7,1,6,5,4]=>[8,7,2,3,5,6,4,1]
[8,2,7,1,3,6,5,4]=>[8,7,2,4,5,6,3,1]
[8,1,7,2,6,4,3,5]=>[7,6,8,4,5,2,3,1]
[8,1,7,5,2,4,3,6]=>[7,5,6,4,8,2,3,1]
[8,2,3,7,4,6,1,5]=>[5,7,8,2,3,6,4,1]
[2,4,8,5,7,6,3,1]=>[8,4,7,2,6,1,5,3]
[8,2,4,3,7,6,1,5]=>[3,7,8,2,4,6,5,1]
[8,2,7,3,5,1,4,6]=>[4,6,7,2,5,8,3,1]
[8,2,7,4,3,1,5,6]=>[6,5,2,4,7,8,3,1]
[8,2,7,3,1,5,6,4]=>[4,6,8,2,5,7,3,1]
[8,2,1,5,7,6,4,3]=>[8,4,7,2,6,3,5,1]
[6,2,1,8,7,5,4,3]=>[8,7,6,2,1,5,3,4]
[6,1,8,2,7,5,4,3]=>[8,7,6,4,1,5,2,3]
[8,1,7,3,5,2,6,4]=>[8,4,6,5,7,2,3,1]
[8,1,5,2,7,6,4,3]=>[3,8,7,6,2,4,5,1]
[8,1,7,2,4,6,5,3]=>[8,5,7,4,6,2,3,1]
[8,2,4,1,7,6,5,3]=>[8,3,7,2,6,4,5,1]
[4,2,8,3,7,6,5,1]=>[8,1,7,4,6,2,5,3]
[4,8,2,1,7,6,5,3]=>[8,1,7,3,6,4,5,2]
[5,1,8,7,2,6,4,3]=>[1,8,7,5,6,4,2,3]
[5,8,1,3,7,6,2,4]=>[7,1,8,4,6,3,5,2]
[8,2,5,4,1,7,6,3]=>[4,3,8,2,7,5,6,1]
[5,1,4,8,7,6,3,2]=>[1,8,7,3,6,5,2,4]
[8,1,4,3,7,6,5,2]=>[8,3,7,4,6,2,5,1]
[4,8,1,3,7,6,5,2]=>[8,1,7,4,6,3,5,2]
[4,3,8,1,7,6,5,2]=>[8,1,7,2,6,4,5,3]
[5,8,6,3,2,1,7,4]=>[1,5,4,8,6,3,7,2]
[5,7,6,3,2,4,1,8]=>[1,5,4,7,6,3,2,8]
[6,5,7,2,4,3,1,8]=>[7,4,2,1,6,5,3,8]
[5,7,1,3,2,8,6,4]=>[8,4,1,7,3,5,2,6]
[5,8,1,3,2,7,4,6]=>[4,7,1,8,3,5,6,2]
[8,5,1,3,2,4,6,7]=>[5,3,4,6,2,7,8,1]
[7,5,1,3,2,4,8,6]=>[4,8,3,5,2,6,1,7]
[7,5,8,2,1,4,3,6]=>[4,7,5,2,6,1,8,3]
[6,7,1,2,5,4,8,3]=>[6,5,8,3,1,4,2,7]
[6,8,1,2,5,7,4,3]=>[5,8,7,3,1,4,6,2]
[7,1,2,3,8,6,4,5]=>[7,8,6,2,3,4,1,5]
[8,1,6,4,2,3,5,7]=>[5,6,4,7,2,3,8,1]
[1,5,4,8,2,3,7,6]=>[3,2,8,5,6,7,1,4]
[1,7,8,2,3,5,6,4]=>[6,8,4,5,2,7,1,3]
[7,5,8,2,3,1,4,6]=>[4,6,5,2,7,1,8,3]
[7,4,1,2,6,8,3,5]=>[7,5,2,8,3,4,1,6]
[7,2,5,4,1,8,6,3]=>[4,3,8,2,7,5,1,6]
[7,3,5,4,2,1,8,6]=>[5,2,4,3,8,6,1,7]
[7,3,2,8,5,6,1,4]=>[7,2,5,8,3,1,6,4]
[1,7,4,3,6,8,5,2]=>[3,5,8,4,2,7,1,6]
[4,7,6,5,2,3,8,1]=>[5,6,1,4,3,2,8,7]
[4,7,6,5,1,3,8,2]=>[6,8,1,5,4,3,2,7]
[5,4,6,8,7,2,1,3]=>[2,1,3,7,6,8,5,4]
[6,7,4,2,1,8,5,3]=>[8,4,3,1,7,5,2,6]
[6,7,3,2,1,8,5,4]=>[3,8,4,1,7,5,2,6]
[1,7,6,3,2,8,4,5]=>[4,7,8,5,3,1,2,6]
[5,4,2,1,7,3,6,8]=>[3,6,2,1,7,4,5,8]
[6,5,8,1,7,3,4,2]=>[6,2,1,8,7,4,5,3]
[6,5,8,2,3,7,4,1]=>[8,4,2,1,5,7,6,3]
[6,5,8,3,4,1,7,2]=>[4,2,1,8,6,5,7,3]
[4,1,2,8,5,3,6,7]=>[6,5,1,7,8,2,3,4]
[3,7,4,1,6,5,2,8]=>[3,7,1,6,4,5,2,8]
[3,5,8,2,6,1,7,4]=>[2,8,1,4,6,5,7,3]
[1,7,6,2,5,8,4,3]=>[5,8,7,4,3,1,2,6]
[1,7,6,5,8,4,2,3]=>[7,4,3,2,8,6,1,5]
[3,7,6,5,8,1,2,4]=>[6,7,4,1,3,2,8,5]
[3,7,6,2,8,4,5,1]=>[6,8,4,1,3,2,7,5]
[4,3,6,8,5,1,2,7]=>[1,6,2,3,7,5,8,4]
[2,7,1,5,8,4,3,6]=>[4,7,6,8,1,3,2,5]
[2,7,6,1,8,4,3,5]=>[7,6,8,4,1,3,2,5]
[7,2,6,3,4,5,1,8]=>[4,5,7,2,6,3,1,8]
[6,7,8,4,2,5,3,1]=>[1,8,5,4,2,7,6,3]
[6,1,2,5,7,8,4,3]=>[4,5,8,7,2,1,3,6]
[4,1,2,7,8,5,3,6]=>[1,7,6,4,8,2,3,5]
[4,7,3,1,2,6,8,5]=>[1,6,3,8,4,5,2,7]
[3,7,6,1,5,8,2,4]=>[7,5,8,1,4,3,2,6]
[3,8,5,6,4,2,7,1]=>[3,6,5,1,4,8,7,2]
[3,2,6,4,7,8,5,1]=>[5,1,3,8,2,4,7,6]
[4,2,7,5,8,3,1,6]=>[1,4,7,6,2,3,8,5]
[4,2,7,1,3,8,6,5]=>[1,8,7,2,4,5,3,6]
[5,2,1,4,7,8,3,6]=>[7,2,4,1,5,8,3,6]
[5,6,2,7,3,4,8,1]=>[5,1,6,3,2,4,8,7]
[6,1,3,8,5,4,7,2]=>[6,5,8,3,1,7,2,4]
[2,7,6,8,5,1,3,4]=>[6,7,3,2,8,1,5,4]
[2,7,6,8,5,3,1,4]=>[7,6,3,2,8,1,5,4]
[1,5,8,6,4,2,3,7]=>[2,6,7,5,4,8,1,3]
[2,5,8,6,4,1,7,3]=>[8,2,6,5,1,4,7,3]
[2,4,6,1,5,7,3,8]=>[2,5,7,1,4,3,6,8]
[1,6,2,3,5,8,7,4]=>[8,5,7,3,1,2,4,6]
[4,7,2,3,1,6,8,5]=>[3,1,4,6,8,5,2,7]
[6,7,3,1,5,4,8,2]=>[3,6,5,1,8,4,2,7]
[7,4,6,2,8,3,5,1]=>[2,6,8,4,3,1,7,5]
[7,3,5,1,4,8,2,6]=>[2,5,7,3,8,4,1,6]
[3,4,6,5,1,2,7,8]=>[1,2,5,6,4,3,7,8]
[7,5,4,3,8,6,2,1]=>[3,2,8,4,1,7,6,5]
[4,3,8,2,6,7,5,1]=>[1,5,8,2,4,7,6,3]
[4,3,8,2,5,7,1,6]=>[2,1,4,5,7,8,6,3]
[4,1,6,2,5,3,7,8]=>[6,4,1,5,2,3,7,8]
[5,1,8,6,4,7,2,3]=>[1,7,5,4,8,6,2,3]
[4,1,8,5,6,3,7,2]=>[1,4,6,5,8,7,2,3]
[4,2,6,1,5,3,8,7]=>[5,1,8,2,4,3,6,7]
[6,7,2,3,1,5,8,4]=>[3,4,6,1,8,5,2,7]
[7,5,2,3,8,1,6,4]=>[8,3,4,2,6,1,7,5]
[7,5,2,3,8,4,1,6]=>[7,3,4,2,6,1,8,5]
[4,5,1,7,6,3,8,2]=>[1,2,6,5,4,8,3,7]
[8,1,7,5,2,3,4,6]=>[5,6,7,4,8,2,3,1]
[8,6,3,1,4,2,5,7]=>[6,4,3,5,7,2,8,1]
[4,8,3,6,1,7,2,5]=>[1,3,7,8,5,4,6,2]
[1,2,4,6,8,5,7,3]=>[4,6,8,3,7,1,2,5]
[2,1,7,5,8,6,3,4]=>[4,7,3,8,1,6,2,5]
[4,7,3,8,6,5,2,1]=>[8,7,1,3,2,6,5,4]
[3,8,7,4,6,5,1,2]=>[4,7,8,6,1,5,3,2]
[7,3,8,4,6,5,1,2]=>[4,7,8,2,1,6,5,3]
[7,4,3,6,5,8,1,2]=>[2,7,3,5,4,1,8,6]
[4,5,8,7,2,6,1,3]=>[1,2,5,7,8,6,4,3]
[3,8,6,7,5,1,4,2]=>[8,6,3,7,1,5,4,2]
[4,2,7,6,5,8,3,1]=>[5,1,4,3,8,2,7,6]
[4,6,7,8,5,2,3,1]=>[2,6,1,3,8,7,5,4]
[4,5,3,8,2,7,6,1]=>[1,2,8,3,5,7,6,4]
[3,8,5,4,1,7,6,2]=>[4,3,8,1,7,5,6,2]
[6,4,7,2,5,8,3,1]=>[2,5,1,8,4,3,7,6]
[6,3,8,7,5,1,4,2]=>[8,6,1,7,2,5,4,3]
[5,3,6,4,1,2,8,7]=>[8,2,1,5,4,3,6,7]
[6,8,4,3,5,7,1,2]=>[4,3,1,7,5,8,6,2]
[5,2,4,8,7,6,1,3]=>[7,1,8,3,6,2,5,4]
[3,2,4,5,1,8,6,7]=>[2,1,3,4,7,8,5,6]
[4,2,5,1,7,8,3,6]=>[3,1,7,2,5,8,4,6]
[2,5,4,1,3,8,6,7]=>[7,3,1,2,8,4,5,6]
[1,4,5,3,8,2,6,7]=>[2,4,3,6,7,8,1,5]
[5,1,8,2,4,3,6,7]=>[6,4,5,1,7,8,2,3]
[1,5,4,8,2,3,6,7]=>[5,3,2,6,7,8,1,4]
[3,5,1,4,7,8,2,6]=>[7,1,4,2,5,8,3,6]
[4,8,3,1,6,7,2,5]=>[1,3,7,5,8,4,6,2]
[3,4,8,2,6,5,7,1]=>[6,1,2,4,5,8,7,3]
[3,6,2,4,8,7,1,5]=>[7,8,1,3,2,4,6,5]
[4,7,3,2,6,8,1,5]=>[1,3,7,4,5,2,8,6]
[7,3,4,6,8,1,2,5]=>[2,3,6,7,4,1,8,5]
[3,6,7,2,5,8,1,4]=>[7,4,1,2,5,3,8,6]
[1,5,6,8,3,7,2,4]=>[2,5,3,7,8,6,1,4]
[6,1,5,8,3,4,7,2]=>[5,3,6,1,8,7,2,4]
[5,6,8,1,3,4,7,2]=>[5,1,6,2,8,4,7,3]
[2,8,5,6,3,4,7,1]=>[5,3,6,4,8,1,7,2]
[6,8,1,3,5,4,7,2]=>[6,4,5,1,8,3,7,2]
[8,1,6,3,5,4,7,2]=>[6,4,5,3,8,2,7,1]
[1,8,7,3,6,4,5,2]=>[6,8,4,7,5,3,1,2]
[7,1,2,5,8,4,6,3]=>[4,6,8,7,2,3,1,5]
[6,2,4,8,1,7,3,5]=>[3,7,8,2,1,5,6,4]
[3,1,7,8,5,4,6,2]=>[6,5,1,3,8,7,2,4]
[1,6,2,7,4,8,5,3]=>[8,5,4,2,7,1,3,6]
[2,7,1,8,4,3,5,6]=>[6,5,7,8,1,3,2,4]
[6,7,1,8,3,2,4,5]=>[6,5,7,1,8,3,2,4]
[2,7,6,3,5,8,1,4]=>[7,4,5,3,1,2,8,6]
[2,7,5,6,8,1,3,4]=>[6,3,7,4,1,2,8,5]
[6,7,2,8,1,3,4,5]=>[3,5,6,1,7,2,8,4]
[5,1,6,8,7,2,3,4]=>[6,3,1,7,8,5,2,4]
[1,5,7,6,8,2,3,4]=>[2,6,7,4,3,8,1,5]
[7,4,6,8,5,3,1,2]=>[7,2,3,1,8,6,5,4]
[2,1,5,7,8,3,6,4]=>[8,3,6,1,4,7,2,5]
[4,6,2,5,7,1,8,3]=>[1,4,8,3,2,6,5,7]
[3,8,6,7,5,1,2,4]=>[6,7,3,8,1,5,4,2]
[4,7,5,8,6,3,1,2]=>[3,7,1,2,8,6,5,4]
[1,6,8,3,2,5,4,7]=>[4,7,5,2,6,8,1,3]
[7,8,5,1,3,2,6,4]=>[5,8,4,6,3,1,7,2]
[2,6,8,1,5,4,7,3]=>[6,5,2,8,1,4,7,3]
[1,5,4,7,6,2,8,3]=>[2,8,3,6,5,1,4,7]
[2,3,7,6,5,1,8,4]=>[8,6,5,1,2,4,3,7]
[6,1,5,8,3,2,7,4]=>[5,3,8,6,1,7,2,4]
[2,5,8,4,6,3,1,7]=>[2,4,7,6,1,5,8,3]
[7,1,5,4,8,3,2,6]=>[4,3,7,6,8,2,1,5]
[6,4,1,7,5,3,2,8]=>[2,7,6,5,3,1,4,8]
[2,7,6,4,8,1,5,3]=>[4,8,6,3,1,2,7,5]
[7,2,5,4,8,1,6,3]=>[4,3,8,2,6,1,7,5]
[1,7,2,5,3,8,6,4]=>[4,8,7,3,5,1,2,6]
[7,2,3,8,6,1,5,4]=>[8,6,7,2,3,1,5,4]
[7,3,2,5,8,1,6,4]=>[2,4,8,3,6,1,7,5]
[5,3,8,4,1,2,6,7]=>[2,5,1,6,4,7,8,3]
[2,4,8,3,7,1,5,6]=>[2,4,6,7,8,1,5,3]
[5,2,8,4,1,6,3,7]=>[7,5,2,1,4,6,8,3]
[7,6,5,2,1,8,4,3]=>[8,4,7,5,3,2,1,6]
[2,7,5,1,8,3,6,4]=>[8,6,3,7,1,4,2,5]
[5,1,8,7,4,3,6,2]=>[1,6,5,8,7,4,2,3]
[3,8,7,2,4,6,1,5]=>[4,5,7,8,1,6,3,2]
[5,7,1,3,2,4,8,6]=>[4,8,3,1,5,6,2,7]
[4,2,7,6,3,5,8,1]=>[1,5,6,4,2,3,8,7]
[8,4,7,6,3,5,1,2]=>[7,2,5,8,6,4,3,1]
[8,1,7,4,2,3,5,6]=>[5,6,4,7,8,2,3,1]
[6,5,1,3,8,7,4,2]=>[8,7,4,2,1,6,3,5]
[4,7,8,3,2,5,1,6]=>[5,1,4,7,6,2,8,3]
[6,1,8,5,3,7,2,4]=>[5,7,4,1,8,6,2,3]
[5,1,6,8,3,7,4,2]=>[3,1,8,5,7,6,2,4]
[8,6,5,1,7,4,3,2]=>[8,7,6,4,3,2,5,1]
[7,6,4,1,3,5,8,2]=>[5,6,3,8,4,2,1,7]
[8,2,3,7,1,4,5,6]=>[2,3,5,6,7,8,4,1]
[2,8,3,7,1,4,5,6]=>[3,5,6,7,8,1,4,2]
[5,6,2,7,4,3,1,8]=>[1,7,6,3,2,5,4,8]
[8,6,2,7,4,1,3,5]=>[6,7,3,5,2,8,4,1]
[3,7,8,2,6,1,4,5]=>[4,6,7,1,2,8,5,3]
[3,7,8,5,2,1,4,6]=>[6,5,7,1,4,2,8,3]
[6,8,4,7,3,1,5,2]=>[3,1,8,6,5,7,4,2]
[4,8,6,5,1,2,7,3]=>[8,1,5,6,4,3,7,2]
[4,8,6,5,1,2,3,7]=>[1,5,6,7,4,3,8,2]
[3,4,5,1,7,6,8,2]=>[1,2,3,6,5,8,4,7]
[3,8,7,6,5,1,2,4]=>[6,7,8,5,1,4,3,2]
[8,4,6,7,1,2,5,3]=>[2,8,5,6,3,7,4,1]
[5,7,2,6,1,8,4,3]=>[1,8,7,3,5,4,2,6]
[5,7,2,6,1,3,8,4]=>[8,3,1,5,6,4,2,7]
[5,8,2,6,1,4,7,3]=>[6,1,8,3,5,4,7,2]
[3,8,7,5,6,1,4,2]=>[8,6,4,7,1,5,3,2]
[6,8,4,7,2,1,5,3]=>[5,3,1,8,6,7,4,2]
[7,4,6,5,1,3,8,2]=>[2,6,8,5,4,3,1,7]
[1,7,3,4,5,2,8,6]=>[3,4,5,8,6,1,2,7]
[4,8,2,1,3,5,6,7]=>[4,3,1,5,6,7,8,2]
[1,7,2,5,4,3,8,6]=>[5,4,8,3,6,1,2,7]
[2,6,7,3,4,8,1,5]=>[4,5,2,7,1,3,8,6]
[2,1,5,7,4,3,8,6]=>[3,5,8,1,6,2,4,7]
[4,1,8,7,5,6,2,3]=>[7,1,5,8,6,4,2,3]
[1,5,8,7,4,3,6,2]=>[6,2,5,8,7,4,1,3]
[6,4,1,3,8,7,5,2]=>[2,8,7,4,1,6,3,5]
[2,1,7,4,6,8,3,5]=>[7,4,5,1,3,8,2,6]
[1,7,2,4,6,8,3,5]=>[7,4,5,8,3,1,2,6]
[8,6,4,2,7,3,5,1]=>[6,3,8,4,2,7,5,1]
[7,4,6,1,2,3,8,5]=>[8,4,2,5,6,3,1,7]
[1,8,6,2,7,3,5,4]=>[8,6,7,4,3,5,1,2]
[1,7,8,6,2,3,5,4]=>[8,5,6,2,7,4,1,3]
[2,1,8,3,5,7,6,4]=>[8,5,7,1,4,6,2,3]
[3,5,8,1,7,6,2,4]=>[2,7,8,1,6,4,5,3]
[2,8,1,3,6,7,5,4]=>[5,8,7,1,3,4,6,2]
[7,2,4,8,6,1,5,3]=>[8,3,6,7,2,1,5,4]
[6,4,3,2,8,1,7,5]=>[3,2,8,4,1,6,7,5]
[6,2,4,3,8,1,7,5]=>[3,8,2,4,1,6,7,5]
[5,8,4,3,1,6,7,2]=>[1,6,4,3,8,5,7,2]
[4,2,8,1,5,7,6,3]=>[1,8,5,7,2,4,6,3]
[6,3,7,2,5,4,8,1]=>[6,2,4,1,5,3,8,7]
[5,7,2,6,3,4,8,1]=>[5,1,6,3,4,2,8,7]
[3,7,5,4,6,2,8,1]=>[4,3,6,1,5,2,8,7]
[6,8,3,2,1,7,4,5]=>[4,3,7,1,8,5,6,2]
[4,8,1,7,5,3,2,6]=>[7,1,6,5,8,3,4,2]
[5,4,3,7,2,8,6,1]=>[2,1,8,3,5,4,7,6]
[3,6,5,7,2,8,4,1]=>[3,2,8,1,5,4,7,6]
[4,6,5,3,8,2,1,7]=>[4,1,3,2,7,6,8,5]
[2,6,5,8,7,3,1,4]=>[3,2,7,6,8,1,5,4]
[6,3,8,4,1,7,2,5]=>[7,2,4,1,8,5,6,3]
[7,2,8,1,6,4,3,5]=>[7,6,8,2,4,1,5,3]
[3,2,8,7,6,4,1,5]=>[7,6,8,1,5,2,4,3]
[8,2,6,4,3,5,1,7]=>[5,4,7,2,6,3,8,1]
[5,4,2,8,6,3,7,1]=>[2,1,6,5,8,3,7,4]
[2,8,7,5,3,1,4,6]=>[6,5,7,4,8,1,3,2]
[2,5,6,3,1,4,8,7]=>[4,2,8,1,5,3,6,7]
[2,4,7,8,5,3,1,6]=>[7,6,2,5,1,3,8,4]
[6,5,3,2,4,1,8,7]=>[4,3,5,2,1,8,6,7]
[6,5,8,7,3,2,4,1]=>[2,1,6,5,8,7,4,3]
[2,1,4,7,8,5,3,6]=>[7,6,1,3,4,8,2,5]
[8,3,1,6,5,7,4,2]=>[5,2,4,8,7,3,6,1]
[8,5,6,7,3,1,4,2]=>[2,8,6,5,3,7,4,1]
[8,7,5,3,2,6,4,1]=>[4,8,5,3,7,6,2,1]
[8,5,3,1,4,6,7,2]=>[5,3,6,2,8,4,7,1]
[8,5,1,6,4,3,7,2]=>[6,5,4,2,8,3,7,1]
[6,1,4,3,7,8,2,5]=>[3,7,4,5,1,8,2,6]
[6,1,2,7,5,8,3,4]=>[7,5,4,8,2,1,3,6]
[2,7,3,1,4,6,8,5]=>[3,6,8,1,4,5,2,7]
[2,8,3,1,6,5,7,4]=>[6,3,5,8,1,4,7,2]
[3,8,5,6,7,1,2,4]=>[6,3,7,1,4,8,5,2]
[6,5,1,2,8,4,7,3]=>[6,8,7,3,2,1,4,5]
[2,5,8,1,4,6,7,3]=>[5,2,6,8,1,4,7,3]
[2,1,8,7,5,4,6,3]=>[6,5,8,7,1,4,2,3]
[7,8,3,4,1,6,5,2]=>[3,4,8,7,5,1,6,2]
[8,7,3,4,2,6,5,1]=>[3,4,8,5,7,6,2,1]
[8,4,5,2,3,7,1,6]=>[4,2,5,3,7,8,6,1]
[4,7,2,8,6,3,1,5]=>[7,1,6,8,3,2,5,4]
[4,7,5,2,3,8,1,6]=>[1,4,5,3,7,2,8,6]
[6,4,7,5,2,8,3,1]=>[8,2,1,5,4,3,7,6]
[7,5,1,3,6,4,8,2]=>[6,4,5,2,8,3,1,7]
[6,5,2,3,7,8,4,1]=>[5,8,3,2,1,4,7,6]
[7,2,6,3,1,5,8,4]=>[4,6,8,2,5,3,1,7]
[4,6,3,8,7,5,1,2]=>[7,1,2,8,3,6,5,4]
[2,8,4,1,5,7,6,3]=>[3,8,5,7,1,4,6,2]
[1,8,4,2,5,7,6,3]=>[3,8,5,7,4,6,1,2]
[2,8,5,4,1,7,6,3]=>[4,3,8,7,1,5,6,2]
[2,5,8,3,7,1,6,4]=>[2,8,4,6,7,1,5,3]
[1,8,5,2,4,7,6,3]=>[8,5,3,7,4,6,1,2]
[1,4,6,2,8,7,5,3]=>[3,8,2,7,6,1,4,5]
[7,8,2,4,1,6,5,3]=>[4,8,3,7,5,1,6,2]
[2,4,6,1,8,7,5,3]=>[3,8,2,7,1,6,4,5]
[2,8,4,5,1,7,6,3]=>[3,4,8,7,1,5,6,2]
[3,5,8,2,7,6,1,4]=>[2,7,8,1,4,6,5,3]
[2,1,6,8,7,5,3,4]=>[3,7,8,6,1,5,2,4]
[1,8,2,4,5,7,6,3]=>[8,4,5,7,3,6,1,2]
[1,2,8,3,5,7,6,4]=>[8,5,7,4,6,1,2,3]
[1,3,8,2,5,7,6,4]=>[8,5,7,2,4,6,1,3]
[2,3,8,1,5,7,6,4]=>[8,5,7,1,2,4,6,3]
[2,6,1,8,7,5,3,4]=>[7,2,8,6,1,5,3,4]
[1,6,2,8,7,5,3,4]=>[7,2,8,6,5,1,3,4]
[1,6,3,8,7,5,2,4]=>[7,2,8,6,3,5,1,4]
[2,6,3,8,7,5,1,4]=>[7,2,8,6,1,3,5,4]
[3,2,8,1,5,7,6,4]=>[8,1,5,7,2,4,6,3]
[3,1,8,2,5,7,6,4]=>[8,1,5,7,4,6,2,3]
[2,8,1,4,5,7,6,3]=>[8,4,5,7,1,3,6,2]
[7,8,2,1,4,6,5,3]=>[8,3,5,7,4,1,6,2]
[2,3,6,8,7,5,1,4]=>[3,7,8,6,1,2,5,4]
[3,1,6,8,7,2,5,4]=>[3,8,1,6,7,5,2,4]
[3,8,4,5,1,6,2,7]=>[3,7,1,5,4,6,8,2]
[6,1,4,5,7,2,3,8]=>[3,6,4,7,2,1,5,8]
[8,1,4,7,6,3,2,5]=>[7,3,6,8,5,2,4,1]
[8,3,1,6,4,7,2,5]=>[2,5,7,4,8,3,6,1]
[5,3,8,6,2,7,1,4]=>[5,1,7,2,4,8,6,3]
[8,3,6,1,5,7,2,4]=>[7,2,5,8,4,3,6,1]
[8,4,6,3,1,2,5,7]=>[5,2,6,4,7,3,8,1]
[6,8,1,4,5,2,3,7]=>[6,4,7,3,1,5,8,2]
[1,5,8,4,6,2,3,7]=>[2,6,4,7,5,8,1,3]
[2,1,6,5,3,8,4,7]=>[7,4,1,3,8,2,5,6]
[5,6,8,1,4,2,3,7]=>[6,1,7,4,2,5,8,3]
[5,7,4,8,1,2,3,6]=>[5,1,6,3,7,2,8,4]
[8,2,1,5,3,7,4,6]=>[7,2,4,8,3,5,6,1]
[4,7,8,1,2,6,3,5]=>[1,7,8,4,5,2,6,3]
[8,7,1,5,6,2,3,4]=>[6,7,4,8,3,5,2,1]
[1,6,5,8,7,2,3,4]=>[6,3,2,7,8,5,1,4]
[3,7,1,6,2,4,8,5]=>[8,1,5,6,3,4,2,7]
[5,1,2,7,6,8,3,4]=>[7,5,4,1,8,2,3,6]
[6,1,7,2,5,8,3,4]=>[7,5,8,4,2,1,3,6]
[1,7,6,5,8,2,3,4]=>[6,7,4,3,2,8,1,5]
[1,6,8,5,7,2,3,4]=>[6,2,7,4,8,5,1,3]
[7,5,1,2,6,8,3,4]=>[7,5,8,3,2,4,1,6]
[6,1,5,2,7,8,3,4]=>[7,5,3,8,2,1,4,6]
[1,6,3,8,7,2,4,5]=>[6,7,2,8,3,5,1,4]
[1,7,3,2,4,6,8,5]=>[3,6,8,4,5,1,2,7]
[8,3,1,4,2,5,7,6]=>[4,2,8,3,5,6,7,1]
[3,1,2,7,8,4,6,5]=>[8,1,6,4,7,2,3,5]
[5,1,2,6,8,7,3,4]=>[4,7,1,8,6,2,3,5]
[1,8,6,2,5,7,3,4]=>[7,5,8,4,3,6,1,2]
[5,7,8,1,2,6,3,4]=>[7,1,8,4,5,2,6,3]
[8,1,5,7,6,2,3,4]=>[6,3,7,8,5,2,4,1]
[7,1,6,8,5,2,3,4]=>[6,7,3,8,5,2,1,4]
[3,7,1,2,8,4,6,5]=>[8,1,6,7,3,4,2,5]
[8,3,1,2,7,6,4,5]=>[2,7,8,6,3,4,5,1]
[1,5,8,7,6,2,3,4]=>[2,6,7,8,5,4,1,3]
[7,8,6,1,5,2,3,4]=>[6,7,8,4,1,5,3,2]
[7,8,6,3,1,5,2,4]=>[7,4,8,5,1,6,3,2]
[7,8,1,3,4,5,2,6]=>[4,5,7,3,6,1,8,2]
[1,7,4,8,2,5,3,6]=>[3,7,5,6,2,8,1,4]
[3,8,6,1,4,2,7,5]=>[5,8,1,4,6,3,7,2]
[7,1,8,2,4,6,3,5]=>[5,7,8,4,6,2,1,3]
[7,6,8,4,1,5,3,2]=>[8,7,5,4,2,1,6,3]
[7,3,2,8,1,5,4,6]=>[2,7,3,5,6,1,8,4]
[3,5,4,1,7,2,6,8]=>[6,1,3,2,7,4,5,8]
[6,4,7,3,2,5,1,8]=>[2,5,4,1,7,6,3,8]
[7,6,5,3,8,4,1,2]=>[4,7,3,2,1,8,6,5]
[6,4,5,7,8,1,3,2]=>[2,3,1,8,6,4,7,5]
[3,7,4,1,6,8,5,2]=>[3,5,8,1,7,4,2,6]
[3,1,2,7,6,8,5,4]=>[5,1,4,8,7,2,3,6]
[6,3,2,8,4,5,1,7]=>[2,5,7,3,1,6,8,4]
[6,1,8,3,5,4,2,7]=>[7,4,6,5,1,8,2,3]
[3,8,5,2,4,6,1,7]=>[4,5,1,3,7,6,8,2]
[1,6,4,8,3,5,2,7]=>[3,5,2,7,6,8,1,4]
[1,5,4,8,6,3,7,2]=>[2,6,3,5,8,7,1,4]
[4,8,2,5,3,7,1,6]=>[1,5,3,4,7,8,6,2]
[3,8,4,5,2,6,7,1]=>[3,5,1,4,6,8,7,2]
[4,1,8,6,5,3,7,2]=>[6,1,5,4,8,7,2,3]
[5,7,8,4,6,3,2,1]=>[4,1,2,8,7,6,5,3]
[5,3,2,8,6,4,7,1]=>[6,2,1,5,8,3,7,4]
[6,8,1,2,7,4,3,5]=>[7,6,8,3,1,4,5,2]
[5,8,7,3,6,2,4,1]=>[1,4,6,8,7,5,3,2]
[7,5,2,3,4,8,6,1]=>[8,3,4,2,5,1,7,6]
[7,3,5,4,2,8,6,1]=>[4,2,3,8,5,1,7,6]
[5,6,1,3,2,4,7,8]=>[5,3,4,1,6,2,7,8]
[2,5,1,3,7,8,6,4]=>[5,2,8,1,7,3,4,6]
[4,3,7,2,1,8,6,5]=>[1,8,2,4,7,5,3,6]
[4,6,7,2,1,3,5,8]=>[1,5,4,6,2,7,3,8]
[4,6,2,3,1,5,7,8]=>[3,1,5,4,6,2,7,8]
[3,6,4,2,5,1,7,8]=>[4,1,3,6,5,2,7,8]
[3,1,6,4,7,5,2,8]=>[7,1,4,3,6,2,5,8]
[3,6,2,7,5,4,1,8]=>[7,6,1,3,2,5,4,8]
[2,4,7,5,3,6,1,8]=>[5,2,4,7,1,6,3,8]
[2,5,7,3,4,1,6,8]=>[4,2,6,1,5,7,3,8]
[2,3,5,8,6,4,7,1]=>[6,3,5,8,1,2,7,4]
[2,4,7,3,8,6,5,1]=>[8,7,2,4,1,3,6,5]
[3,4,2,7,5,8,6,1]=>[8,1,2,5,3,4,7,6]
[3,1,5,4,7,8,6,2]=>[1,3,5,8,4,7,2,6]
[4,5,7,2,3,1,8,6]=>[1,4,2,5,8,6,3,7]
[3,7,8,1,4,6,5,2]=>[8,5,7,1,4,2,6,3]
[2,5,8,7,4,1,3,6]=>[2,6,7,5,8,1,4,3]
[2,6,4,7,5,3,8,1]=>[6,3,2,5,1,4,8,7]
[6,2,4,7,1,3,8,5]=>[3,8,2,5,1,6,4,7]
[7,3,5,1,4,2,8,6]=>[2,5,8,4,3,6,1,7]
[5,4,7,1,3,2,8,6]=>[5,2,1,8,4,6,3,7]
[6,1,4,7,5,3,8,2]=>[6,3,5,4,1,8,2,7]
[8,7,4,3,1,5,6,2]=>[6,4,3,8,5,7,2,1]
[8,7,1,4,3,5,6,2]=>[5,4,6,8,3,7,2,1]
[6,1,8,4,7,3,2,5]=>[4,7,6,1,8,5,2,3]
[4,7,3,6,1,2,8,5]=>[1,3,8,5,6,4,2,7]
[5,2,1,7,4,3,8,6]=>[5,8,2,1,6,3,4,7]
[4,7,6,2,3,1,8,5]=>[1,4,5,8,6,3,2,7]
[7,6,8,2,5,3,4,1]=>[6,8,4,2,1,7,5,3]
[2,3,6,1,8,7,5,4]=>[3,8,7,1,2,6,4,5]
[2,6,8,7,5,3,1,4]=>[2,7,6,8,5,1,4,3]
[6,4,1,7,5,2,8,3]=>[2,8,6,5,3,1,4,7]
[5,7,8,2,3,6,1,4]=>[4,1,5,7,2,8,6,3]
[4,8,7,1,2,5,6,3]=>[1,6,8,4,5,7,3,2]
[2,8,7,4,1,5,6,3]=>[6,4,8,5,7,1,3,2]
[8,6,2,1,5,7,4,3]=>[5,8,3,7,4,2,6,1]
[3,8,6,7,5,2,1,4]=>[7,6,3,8,1,5,4,2]
[6,1,3,7,5,8,2,4]=>[7,5,3,4,1,8,2,6]
[4,7,3,1,8,5,6,2]=>[1,3,6,8,7,4,2,5]
[2,6,7,5,3,4,8,1]=>[5,2,6,4,1,3,8,7]
[2,6,4,5,7,3,8,1]=>[3,4,2,6,1,5,8,7]
[6,1,4,5,8,3,7,2]=>[3,4,6,1,8,7,2,5]
[6,1,8,5,3,4,7,2]=>[5,6,4,1,8,7,2,3]
[4,1,5,6,8,3,7,2]=>[3,1,4,6,8,7,2,5]
[6,4,1,8,7,2,5,3]=>[2,8,6,1,7,5,3,4]
[4,5,7,2,6,8,1,3]=>[1,2,7,4,5,3,8,6]
[1,3,8,5,2,7,4,6]=>[7,4,8,2,5,6,1,3]
[1,3,8,6,7,2,4,5]=>[6,7,4,8,2,5,1,3]
[4,2,7,8,6,1,3,5]=>[1,6,7,3,8,2,5,4]
[7,4,6,8,5,2,3,1]=>[6,2,3,1,8,7,5,4]
[7,5,3,6,8,2,1,4]=>[7,3,2,6,4,1,8,5]
[5,2,6,7,8,1,3,4]=>[6,3,1,7,2,4,8,5]
[4,5,6,8,1,2,7,3]=>[1,2,8,5,3,6,7,4]
[3,5,8,6,1,2,7,4]=>[2,8,1,5,6,4,7,3]
[4,2,6,8,7,1,3,5]=>[1,6,3,7,8,2,5,4]
[1,4,6,8,7,2,3,5]=>[6,2,3,7,8,5,1,4]
[4,5,3,8,1,7,2,6]=>[1,3,2,7,8,5,6,4]
[3,5,8,4,1,7,2,6]=>[2,7,1,4,8,5,6,3]
[1,6,5,7,8,2,3,4]=>[6,3,2,7,4,8,1,5]
[5,6,4,8,2,3,7,1]=>[1,5,3,2,6,8,7,4]
[6,5,4,8,1,3,7,2]=>[6,3,2,1,8,5,7,4]
[7,6,4,8,5,1,3,2]=>[3,8,6,2,1,7,5,4]
[7,2,6,5,8,1,3,4]=>[6,7,4,2,3,1,8,5]
[6,3,7,5,2,4,8,1]=>[5,6,2,1,4,3,8,7]
[8,1,2,7,4,5,3,6]=>[5,7,6,8,2,3,4,1]
[2,5,7,4,6,1,3,8]=>[2,6,4,7,1,5,3,8]
[6,1,7,4,5,3,8,2]=>[4,6,5,3,1,8,2,7]
[8,2,7,3,1,5,4,6]=>[4,7,2,5,6,8,3,1]
[2,6,4,8,3,1,7,5]=>[3,5,2,8,1,6,7,4]
[8,1,3,7,5,6,4,2]=>[5,8,7,3,6,2,4,1]
[1,2,5,3,8,6,7,4]=>[3,6,8,7,1,2,4,5]
[4,1,6,5,7,8,2,3]=>[1,4,3,7,5,8,2,6]
[6,1,3,7,4,2,8,5]=>[5,8,3,6,2,1,4,7]
[6,7,2,4,1,3,8,5]=>[8,3,5,4,1,6,2,7]
[7,3,8,4,2,6,5,1]=>[4,8,2,5,1,7,6,3]
[8,5,3,4,2,7,1,6]=>[3,5,4,2,7,8,6,1]
[1,3,8,2,5,6,7,4]=>[5,6,8,2,4,7,1,3]
[1,8,6,7,2,5,4,3]=>[8,7,5,3,6,4,1,2]
[7,6,8,3,5,4,2,1]=>[8,4,2,1,7,6,5,3]
[1,6,7,3,8,5,4,2]=>[2,8,7,4,3,6,1,5]
[7,3,4,8,1,6,5,2]=>[8,2,3,7,5,1,6,4]
[8,7,2,4,6,1,5,3]=>[4,8,3,6,7,5,2,1]
[7,8,6,5,2,4,3,1]=>[8,5,1,7,6,4,3,2]
[3,6,7,5,2,8,4,1]=>[2,8,5,1,4,3,7,6]
[5,4,6,7,8,1,3,2]=>[2,1,3,8,6,4,7,5]
[5,3,7,6,8,4,1,2]=>[1,7,4,2,3,8,6,5]
[7,5,3,2,8,6,4,1]=>[8,3,2,7,4,1,6,5]
[5,4,8,6,7,2,3,1]=>[1,6,2,4,8,7,5,3]
[5,4,8,6,3,1,2,7]=>[2,1,6,7,5,4,8,3]
[4,5,7,3,6,2,8,1]=>[1,2,4,6,5,3,8,7]
[4,5,6,3,8,2,7,1]=>[1,2,4,3,6,8,7,5]
[5,4,8,7,2,1,3,6]=>[2,1,6,5,7,8,4,3]
[2,5,4,7,8,1,3,6]=>[3,2,6,7,1,4,8,5]
[5,3,6,4,8,2,7,1]=>[4,2,1,3,6,8,7,5]
[8,2,6,3,7,4,5,1]=>[6,8,4,2,3,7,5,1]
[8,2,4,7,3,5,6,1]=>[3,5,6,8,2,7,4,1]
[8,2,6,5,7,3,4,1]=>[6,4,3,8,2,7,5,1]
[4,5,6,2,7,3,8,1]=>[1,2,6,4,3,5,8,7]
[7,4,6,1,5,2,8,3]=>[2,8,6,4,5,3,1,7]
[5,4,6,2,8,3,7,1]=>[2,1,6,3,8,4,7,5]
[8,4,6,1,7,2,5,3]=>[2,8,6,7,4,3,5,1]
[5,2,1,6,3,8,7,4]=>[4,8,2,1,7,3,5,6]
[4,5,6,3,7,1,8,2]=>[1,2,4,3,8,6,5,7]
[6,3,2,8,5,4,1,7]=>[7,2,6,3,1,5,8,4]
[4,3,1,5,2,8,6,7]=>[4,2,1,7,8,3,5,6]
[8,5,4,1,3,2,6,7]=>[6,4,5,3,2,7,8,1]
[3,8,4,1,5,2,6,7]=>[6,1,4,3,5,7,8,2]
[2,5,4,3,8,1,6,7]=>[4,3,1,2,6,7,8,5]
[2,5,7,4,3,1,6,8]=>[2,6,5,1,4,7,3,8]
[5,3,4,2,7,1,6,8]=>[2,4,3,1,6,7,5,8]
[3,7,5,4,1,2,6,8]=>[5,6,1,4,3,7,2,8]
[4,2,5,1,3,8,7,6]=>[3,1,8,2,7,4,5,6]
[4,3,5,1,2,7,6,8]=>[2,1,7,4,3,5,6,8]
[5,3,4,1,7,2,6,8]=>[2,6,3,1,7,4,5,8]
[4,1,6,3,5,2,7,8]=>[4,1,6,5,2,3,7,8]
[4,2,1,8,6,3,7,5]=>[1,8,6,2,5,7,3,4]
[3,1,7,2,5,6,4,8]=>[1,5,7,4,6,2,3,8]
[3,7,5,4,2,1,6,8]=>[6,5,1,4,3,7,2,8]
[3,7,2,4,1,6,5,8]=>[1,3,4,7,5,6,2,8]
[7,3,2,1,6,4,5,8]=>[3,2,6,7,4,5,1,8]
[2,8,6,1,7,4,3,5]=>[7,6,8,4,1,3,5,2]
[2,5,4,6,1,3,7,8]=>[5,3,1,2,6,4,7,8]
[2,5,6,4,1,3,7,8]=>[5,2,6,1,4,3,7,8]
[8,5,2,6,1,3,7,4]=>[8,3,5,2,6,4,7,1]
[7,1,5,6,3,2,4,8]=>[6,5,3,7,2,4,1,8]
[7,1,2,5,4,6,3,8]=>[5,4,7,2,3,6,1,8]
[2,4,1,6,5,3,7,8]=>[2,6,1,5,3,4,7,8]
[4,1,2,7,5,6,3,8]=>[5,1,7,6,2,3,4,8]
[7,1,2,6,5,4,3,8]=>[7,6,5,2,3,4,1,8]
[8,2,1,5,6,3,7,4]=>[4,8,2,6,3,5,7,1]
[2,8,5,1,6,4,7,3]=>[6,5,3,8,1,4,7,2]
[6,1,4,5,3,2,7,8]=>[3,6,5,2,4,1,7,8]
[3,1,6,5,4,2,7,8]=>[6,1,5,4,2,3,7,8]
[3,1,4,6,5,2,7,8]=>[1,6,3,5,2,4,7,8]
[6,4,1,5,3,2,8,7]=>[5,4,2,8,3,1,6,7]
[2,1,8,6,3,7,5,4]=>[8,7,5,1,4,6,2,3]
[5,8,3,1,7,6,4,2]=>[1,8,3,7,6,4,5,2]
[7,6,3,2,8,5,1,4]=>[3,7,8,4,2,1,6,5]
[5,6,3,8,7,4,1,2]=>[1,7,2,8,3,6,5,4]
[5,2,6,8,7,4,1,3]=>[3,1,7,8,6,2,5,4]
[4,3,8,5,7,2,6,1]=>[1,4,6,8,2,7,5,3]
[6,3,8,5,4,1,2,7]=>[6,7,2,1,5,4,8,3]
[6,3,8,4,5,1,2,7]=>[6,2,4,1,7,5,8,3]
[5,2,3,1,4,8,6,7]=>[2,3,7,1,8,4,5,6]
[5,4,1,3,2,8,6,7]=>[4,7,2,1,8,3,5,6]
[5,2,1,4,3,8,6,7]=>[2,4,7,1,8,3,5,6]
[4,2,7,3,8,5,1,6]=>[1,7,4,6,2,3,8,5]
[4,7,3,2,8,5,1,6]=>[1,3,7,4,6,2,8,5]
[4,3,7,2,8,5,6,1]=>[1,6,8,2,4,3,7,5]
[5,3,1,2,4,8,6,7]=>[7,2,8,3,1,4,5,6]
[5,4,3,1,2,8,6,7]=>[7,3,2,1,8,4,5,6]
[5,3,4,1,2,8,6,7]=>[2,7,3,1,8,4,5,6]
[5,2,3,4,1,8,6,7]=>[2,3,4,1,7,8,5,6]
[5,8,7,4,3,1,6,2]=>[8,1,6,5,4,7,3,2]
[6,8,1,3,4,5,7,2]=>[4,5,6,1,8,3,7,2]
[3,5,2,8,1,6,7,4]=>[6,1,2,8,3,5,7,4]
[3,1,7,8,2,5,4,6]=>[7,1,5,6,3,8,2,4]
[6,2,3,7,4,1,8,5]=>[5,8,2,3,1,6,4,7]
[6,3,7,4,1,2,5,8]=>[2,5,6,4,1,7,3,8]
[7,2,6,8,4,3,1,5]=>[7,6,5,2,3,1,8,4]
[3,7,2,8,6,5,1,4]=>[7,8,6,1,3,2,5,4]
[3,6,7,5,1,2,4,8]=>[5,6,1,2,7,4,3,8]
[7,4,5,1,8,2,3,6]=>[6,2,7,3,8,4,1,5]
[7,2,3,1,8,4,5,6]=>[2,3,6,7,8,4,1,5]
[2,1,4,8,3,7,5,6]=>[7,8,1,3,5,6,2,4]
[4,8,1,6,7,3,2,5]=>[7,1,6,4,8,3,5,2]
[1,2,7,8,4,3,6,5]=>[5,8,6,3,7,1,2,4]
[5,8,1,4,3,2,7,6]=>[5,4,1,8,3,6,7,2]
[4,8,1,3,5,6,2,7]=>[4,1,5,7,3,6,8,2]
[5,3,7,8,4,2,6,1]=>[1,6,5,2,3,8,7,4]
[6,3,7,8,2,4,5,1]=>[5,6,2,1,3,8,7,4]
[8,5,2,4,3,1,7,6]=>[5,3,4,2,8,6,7,1]
[7,5,4,2,3,1,8,6]=>[4,5,3,2,8,6,1,7]
[3,5,6,4,8,1,7,2]=>[2,4,1,3,8,6,7,5]
[3,5,4,6,7,1,8,2]=>[3,1,2,4,8,6,5,7]
[1,4,2,6,5,8,7,3]=>[2,4,8,5,7,1,3,6]
[1,4,2,5,3,8,7,6]=>[2,8,4,7,1,3,5,6]
[1,5,2,6,4,8,7,3]=>[4,2,8,5,7,1,3,6]
[1,6,2,5,3,8,7,4]=>[4,8,7,3,1,2,5,6]
[2,5,1,4,3,8,7,6]=>[8,4,1,2,7,3,5,6]
[1,7,3,5,4,8,6,2]=>[4,8,3,5,2,7,1,6]
[1,8,2,6,3,7,5,4]=>[8,7,5,3,4,6,1,2]
[1,8,3,6,4,7,5,2]=>[8,5,3,4,7,6,1,2]
[1,7,2,6,4,8,5,3]=>[8,5,4,7,3,1,2,6]
[1,7,2,6,3,8,5,4]=>[8,7,5,3,4,1,2,6]
[1,5,2,7,4,8,6,3]=>[2,8,5,4,7,1,3,6]
[1,4,2,8,5,7,6,3]=>[8,2,5,7,6,1,3,4]
[4,8,1,3,2,6,5,7]=>[4,1,7,3,5,6,8,2]
[1,5,3,8,4,7,6,2]=>[2,8,5,7,3,6,1,4]
[1,8,4,7,3,6,5,2]=>[8,3,5,7,6,4,1,2]
[2,6,3,8,1,5,4,7]=>[7,3,5,1,2,6,8,4]
[8,3,1,4,2,6,5,7]=>[4,2,7,3,5,6,8,1]
[4,8,7,3,5,2,1,6]=>[4,7,1,6,5,8,3,2]
[6,8,7,3,5,2,4,1]=>[4,1,6,8,7,5,3,2]
[8,3,5,1,2,6,4,7]=>[2,7,4,5,3,6,8,1]
[8,6,3,1,5,4,2,7]=>[3,7,6,4,5,2,8,1]
[8,6,4,1,5,3,2,7]=>[7,6,4,3,5,2,8,1]
[8,6,5,4,1,3,2,7]=>[7,5,6,4,3,2,8,1]
[5,3,8,7,4,6,2,1]=>[1,5,8,7,2,6,4,3]
[2,3,8,7,4,6,1,5]=>[5,7,8,6,1,2,4,3]
[8,3,5,7,4,1,2,6]=>[6,2,3,7,5,8,4,1]
[4,8,5,3,1,2,7,6]=>[8,1,5,4,3,6,7,2]
[6,8,7,3,1,5,4,2]=>[4,1,8,7,5,6,3,2]
[6,8,5,4,1,3,7,2]=>[6,1,8,5,4,3,7,2]
[2,5,8,7,4,6,3,1]=>[5,8,2,7,6,1,4,3]
[4,8,7,6,5,1,3,2]=>[8,6,7,1,5,4,3,2]
[3,8,7,5,1,6,2,4]=>[7,8,5,1,4,6,3,2]
[2,3,8,7,5,6,1,4]=>[7,5,8,6,1,2,4,3]
[2,8,7,1,3,6,4,5]=>[7,8,4,5,6,1,3,2]
[8,5,4,7,2,1,3,6]=>[6,5,3,2,7,8,4,1]
[6,8,7,3,5,2,1,4]=>[4,1,7,6,8,5,3,2]
[3,5,8,6,4,2,7,1]=>[6,2,5,1,4,8,7,3]
[6,8,4,1,5,2,7,3]=>[8,6,4,3,1,5,7,2]
[6,8,2,1,7,5,3,4]=>[7,8,3,1,6,4,5,2]
[5,8,4,6,1,2,7,3]=>[1,8,5,3,6,4,7,2]
[2,4,8,6,5,1,7,3]=>[8,6,2,5,1,4,7,3]
[4,8,7,6,5,2,1,3]=>[7,6,8,1,5,4,3,2]
[4,8,7,5,1,6,2,3]=>[7,8,1,5,4,6,3,2]
[4,5,2,1,8,6,7,3]=>[1,6,2,8,3,7,4,5]
[4,5,8,3,1,6,7,2]=>[1,2,6,4,8,5,7,3]
[5,7,2,8,4,6,1,3]=>[1,7,5,8,3,2,6,4]
[6,7,3,2,4,8,5,1]=>[3,8,4,1,5,2,7,6]
[7,2,8,6,4,5,1,3]=>[7,5,8,6,2,1,4,3]
[8,7,2,6,5,1,3,4]=>[6,7,8,3,5,4,2,1]
[5,2,7,8,4,1,3,6]=>[6,1,7,5,2,3,8,4]
[2,7,8,6,4,1,3,5]=>[6,7,5,2,8,1,4,3]
[7,6,3,5,2,8,4,1]=>[8,3,5,4,2,1,7,6]
[6,2,7,4,8,5,3,1]=>[8,4,3,1,7,2,6,5]
[8,6,5,1,7,2,4,3]=>[8,6,7,4,3,2,5,1]
[6,8,5,1,7,3,2,4]=>[7,6,1,8,4,3,5,2]
[1,6,8,3,7,4,2,5]=>[7,4,2,6,8,5,1,3]
[5,1,6,3,4,8,2,7]=>[4,5,3,1,7,8,2,6]
[3,5,2,6,4,8,1,7]=>[5,1,3,2,4,7,8,6]
[3,5,2,4,8,1,7,6]=>[8,1,3,2,4,6,7,5]
[6,3,8,2,4,1,7,5]=>[2,4,5,1,8,6,7,3]
[4,6,3,8,7,5,2,1]=>[2,8,1,7,3,6,5,4]
[6,3,8,7,5,4,2,1]=>[1,8,7,6,2,5,4,3]
[6,8,4,2,1,7,5,3]=>[8,4,3,1,7,5,6,2]
[5,2,6,4,3,8,1,7]=>[5,4,2,1,3,7,8,6]
[6,5,3,1,4,8,2,7]=>[5,3,7,2,1,8,4,6]
[3,1,7,8,6,4,2,5]=>[7,6,1,3,8,5,2,4]
[3,8,1,7,6,2,5,4]=>[8,6,7,1,5,3,4,2]
[8,1,7,6,4,2,5,3]=>[8,6,5,7,4,2,3,1]
[7,2,6,3,8,5,4,1]=>[8,7,4,2,3,1,6,5]
[7,3,8,6,4,1,5,2]=>[8,6,2,5,1,7,4,3]
[1,7,5,8,2,4,3,6]=>[7,5,3,6,2,8,1,4]
[6,1,5,2,4,8,3,7]=>[5,7,3,8,2,1,4,6]
[1,5,6,3,8,2,4,7]=>[4,2,6,3,7,8,1,5]
[8,7,1,3,6,5,2,4]=>[7,8,4,6,3,5,2,1]
[2,6,7,4,3,8,5,1]=>[4,2,8,5,1,3,7,6]
[5,2,4,7,3,8,6,1]=>[8,3,1,5,2,4,7,6]
[1,5,8,7,2,4,6,3]=>[2,6,8,5,7,4,1,3]
[1,4,8,7,3,6,5,2]=>[8,5,7,2,6,4,1,3]
[8,3,7,2,5,1,6,4]=>[8,2,4,6,5,7,3,1]
[3,7,2,8,1,5,4,6]=>[7,1,3,5,6,2,8,4]
[3,2,6,1,5,8,4,7]=>[1,5,7,2,3,8,4,6]
[7,2,1,5,8,4,3,6]=>[4,7,2,6,8,3,1,5]
[7,2,8,1,4,3,6,5]=>[5,8,2,4,6,1,7,3]
[1,7,8,3,2,6,5,4]=>[8,4,7,5,2,6,1,3]
[1,7,4,8,3,2,6,5]=>[3,5,8,6,2,7,1,4]
[1,7,5,4,8,3,2,6]=>[4,3,7,6,2,8,1,5]
[6,1,5,4,3,8,2,7]=>[5,4,3,7,1,8,2,6]
[1,7,4,5,6,8,2,3]=>[3,4,7,5,2,8,1,6]
[1,6,4,2,3,5,7,8]=>[4,5,3,6,1,2,7,8]
[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,1,2]
[1,5,8,6,2,3,4,7]=>[5,2,6,7,4,8,1,3]
[1,6,5,7,2,3,4,8]=>[5,6,3,2,7,1,4,8]
[1,7,5,6,2,3,4,8]=>[5,6,3,7,4,1,2,8]
[1,3,2,7,6,4,5,8]=>[6,7,2,5,1,3,4,8]
[1,2,3,7,6,4,5,8]=>[6,7,5,1,2,3,4,8]
[1,5,4,2,3,7,6,8]=>[7,4,3,1,2,5,6,8]
[1,5,4,2,3,8,6,7]=>[7,3,2,8,1,4,5,6]
[1,3,2,8,6,4,5,7]=>[6,7,2,5,8,1,3,4]
[1,7,5,8,2,3,4,6]=>[5,6,3,7,2,8,1,4]
[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,1,2]
[2,1,5,8,6,3,7,4]=>[8,3,6,1,5,7,2,4]
[2,5,8,4,6,1,7,3]=>[2,4,8,6,1,5,7,3]
[2,5,3,8,6,1,7,4]=>[2,8,6,1,3,5,7,4]
[2,6,3,5,8,1,7,4]=>[4,8,3,1,2,6,7,5]
[6,3,2,5,8,1,7,4]=>[2,4,8,3,1,6,7,5]
[5,3,2,8,6,1,7,4]=>[8,2,1,6,3,5,7,4]
[5,8,4,6,1,3,7,2]=>[1,6,3,8,5,4,7,2]
[5,3,8,6,1,4,7,2]=>[6,1,8,2,5,4,7,3]
[2,6,5,4,8,1,7,3]=>[4,3,2,8,1,6,7,5]
[8,3,5,7,2,6,4,1]=>[3,8,2,5,7,6,4,1]
[2,4,6,8,5,3,7,1]=>[3,6,2,5,8,1,7,4]
[2,4,8,1,7,6,5,3]=>[8,7,2,6,1,4,5,3]
[4,3,8,1,5,7,6,2]=>[1,8,2,5,7,4,6,3]
[3,8,4,1,5,7,6,2]=>[3,8,1,5,7,4,6,2]
[4,3,6,8,5,2,7,1]=>[1,3,6,2,5,8,7,4]
[8,5,4,7,2,6,3,1]=>[3,2,8,5,7,6,4,1]
[3,6,8,5,4,2,7,1]=>[2,6,5,1,4,8,7,3]
[3,6,4,8,5,2,7,1]=>[6,3,1,2,5,8,7,4]
[3,6,4,1,8,2,7,5]=>[3,8,1,6,2,7,4,5]
[3,6,4,1,5,2,8,7]=>[5,1,3,8,4,2,6,7]
[4,8,6,5,1,3,7,2]=>[6,8,1,5,4,3,7,2]
[2,8,3,5,6,7,1,4]=>[4,7,3,5,8,1,6,2]
[5,6,2,4,7,1,8,3]=>[4,1,8,3,2,6,5,7]
[2,7,5,4,6,1,8,3]=>[4,3,8,6,1,5,2,7]
[2,3,7,4,6,1,8,5]=>[8,4,6,1,2,5,3,7]
[2,6,7,4,1,3,8,5]=>[8,5,4,1,2,6,3,7]
[6,5,7,4,1,3,8,2]=>[6,2,1,8,5,4,3,7]
[2,4,6,3,5,7,8,1]=>[2,4,5,1,3,6,8,7]
[4,1,6,3,5,7,8,2]=>[4,1,5,3,6,8,2,7]
[3,6,4,2,5,7,8,1]=>[4,1,3,5,2,6,8,7]
[2,3,6,1,5,7,8,4]=>[5,6,1,2,3,8,4,7]
[4,3,6,2,5,7,8,1]=>[2,1,4,5,3,6,8,7]
[4,6,1,2,5,7,8,3]=>[5,1,6,8,3,2,4,7]
[2,6,4,1,5,7,8,3]=>[5,3,6,1,2,8,4,7]
[2,4,1,6,5,7,8,3]=>[2,5,1,4,6,8,3,7]
[7,5,4,2,6,1,8,3]=>[8,4,3,2,6,5,1,7]
[4,7,3,1,8,6,5,2]=>[8,1,3,7,6,4,2,5]
[5,6,4,2,7,1,8,3]=>[1,8,4,3,2,6,5,7]
[4,2,7,5,3,1,8,6]=>[1,5,4,8,2,6,3,7]
[5,3,6,4,8,2,1,7]=>[4,2,1,3,7,6,8,5]
[7,3,2,5,4,1,8,6]=>[2,5,3,4,8,6,1,7]
[7,3,2,5,1,8,6,4]=>[2,4,8,3,7,5,1,6]
[4,6,3,8,7,2,1,5]=>[7,1,3,2,6,8,5,4]
[4,7,6,3,8,2,1,5]=>[4,7,1,6,3,2,8,5]
[4,7,3,8,6,2,1,5]=>[7,1,3,6,2,8,5,4]
[5,7,3,2,6,1,8,4]=>[3,1,8,4,6,5,2,7]
[5,7,3,2,6,4,1,8]=>[3,1,7,4,6,5,2,8]
[7,5,2,8,4,3,1,6]=>[7,6,3,2,5,1,8,4]
[7,3,2,4,1,8,6,5]=>[2,8,3,4,7,5,1,6]
[8,4,3,2,7,5,1,6]=>[3,2,7,4,6,8,5,1]
[4,3,7,5,8,2,1,6]=>[1,4,7,2,6,3,8,5]
[4,3,7,5,2,6,1,8]=>[1,5,2,4,7,6,3,8]
[8,4,5,3,7,2,1,6]=>[2,4,3,7,6,8,5,1]
[4,3,5,2,8,6,1,7]=>[2,1,3,7,4,6,8,5]
[4,5,3,6,8,2,1,7]=>[1,3,2,4,7,6,8,5]
[1,2,8,6,4,5,7,3]=>[5,6,4,8,7,1,2,3]
[1,8,5,3,4,6,7,2]=>[4,5,3,6,8,7,1,2]
[7,8,4,1,6,3,5,2]=>[6,3,8,7,4,1,5,2]
[8,7,5,6,1,3,4,2]=>[6,8,5,3,7,4,2,1]
[3,2,6,4,1,8,5,7]=>[1,4,7,2,3,8,5,6]
[2,8,6,5,3,1,4,7]=>[6,5,7,4,1,3,8,2]
[5,4,8,6,2,3,1,7]=>[2,1,5,7,6,4,8,3]
[4,8,7,5,2,3,1,6]=>[5,7,1,6,4,8,3,2]
[5,2,4,7,6,8,3,1]=>[5,3,1,4,8,2,7,6]
[3,4,2,8,7,5,1,6]=>[7,1,2,6,8,3,5,4]
[8,5,7,6,3,2,4,1]=>[2,6,5,8,7,4,3,1]
[6,4,1,8,7,3,2,5]=>[2,7,6,1,8,5,3,4]
[1,8,5,4,2,7,3,6]=>[7,4,3,8,5,6,1,2]
[3,7,6,1,5,8,4,2]=>[5,8,7,1,4,3,2,6]
[3,6,5,8,2,7,4,1]=>[3,2,8,1,5,7,6,4]
[8,3,2,7,4,6,5,1]=>[8,2,5,7,3,6,4,1]
[7,5,8,4,1,3,6,2]=>[6,2,8,5,4,1,7,3]
[7,1,6,2,3,8,4,5]=>[7,8,4,5,2,3,1,6]
[6,4,7,1,3,2,8,5]=>[5,2,8,4,1,6,3,7]
[8,7,1,6,2,5,3,4]=>[7,8,5,6,3,4,2,1]
[3,8,5,2,4,7,6,1]=>[8,4,1,3,5,7,6,2]
[3,8,5,1,4,7,2,6]=>[5,7,1,3,8,4,6,2]
[7,2,5,4,1,3,8,6]=>[8,5,2,4,3,6,1,7]
[7,5,8,1,6,3,2,4]=>[7,6,2,8,4,1,5,3]
[7,1,4,8,5,6,2,3]=>[7,3,5,8,6,2,1,4]
[7,4,6,1,3,2,5,8]=>[6,4,2,5,7,3,1,8]
[1,4,5,8,6,3,2,7]=>[7,2,3,6,5,8,1,4]
[8,4,5,7,2,6,1,3]=>[2,5,3,7,8,6,4,1]
[4,5,2,6,7,3,1,8]=>[1,4,2,7,3,6,5,8]
[8,1,7,5,3,6,2,4]=>[5,7,4,8,6,2,3,1]
[5,2,8,3,6,1,4,7]=>[4,6,1,7,2,5,8,3]
[4,3,5,1,6,7,8,2]=>[2,1,5,3,6,8,4,7]
[3,6,7,5,1,2,8,4]=>[8,5,1,2,6,4,3,7]
[1,7,6,8,5,2,4,3]=>[8,6,3,2,7,5,1,4]
[5,7,6,8,1,2,4,3]=>[1,8,5,6,3,2,7,4]
[5,6,3,7,1,4,8,2]=>[3,1,6,2,8,5,4,7]
[5,3,2,1,8,6,4,7]=>[2,7,3,1,6,8,4,5]
[3,8,6,4,5,7,2,1]=>[4,5,3,8,1,7,6,2]
[7,8,6,1,4,5,2,3]=>[7,5,8,4,1,6,3,2]
[1,8,5,4,6,7,2,3]=>[4,3,7,5,8,6,1,2]
[6,5,8,3,7,2,1,4]=>[4,2,1,7,6,8,5,3]
[7,8,5,3,6,2,1,4]=>[4,7,6,3,1,8,5,2]
[7,8,5,3,6,2,4,1]=>[4,6,3,1,8,7,5,2]
[7,8,4,3,2,6,5,1]=>[4,3,8,5,1,7,6,2]
[1,8,4,3,2,6,7,5]=>[4,3,6,8,5,7,1,2]
[5,4,3,8,2,1,7,6]=>[3,2,1,5,8,6,7,4]
[6,4,8,3,2,1,7,5]=>[2,5,4,1,8,6,7,3]
[1,8,4,3,2,7,6,5]=>[3,8,4,7,5,6,1,2]
[6,5,8,3,1,2,7,4]=>[8,5,4,2,1,6,7,3]
[1,8,6,7,3,2,4,5]=>[6,5,7,3,8,4,1,2]
[7,8,6,1,3,2,4,5]=>[6,4,5,7,1,8,3,2]
[1,8,4,3,2,7,5,6]=>[4,3,7,8,5,6,1,2]
[5,4,3,8,2,1,6,7]=>[3,2,1,6,5,7,8,4]
[1,8,4,3,2,5,7,6]=>[4,3,8,5,6,7,1,2]
[5,4,3,8,2,6,7,1]=>[3,2,1,5,6,8,7,4]
[6,4,2,3,5,1,8,7]=>[3,4,2,5,1,8,6,7]
[5,2,3,6,1,4,8,7]=>[8,2,3,1,5,4,6,7]
[5,2,3,8,6,4,7,1]=>[6,5,1,8,2,3,7,4]
[5,2,3,7,4,8,1,6]=>[5,7,2,1,3,4,8,6]
[8,6,3,2,5,4,7,1]=>[3,6,4,5,2,8,7,1]
[7,2,3,4,5,8,1,6]=>[2,3,4,5,7,1,8,6]
[7,2,8,1,5,3,4,6]=>[6,7,2,4,5,1,8,3]
[3,8,6,4,7,2,5,1]=>[4,6,3,8,1,7,5,2]
[2,1,8,6,4,5,7,3]=>[5,6,4,8,1,7,2,3]
[4,8,2,5,7,3,1,6]=>[1,4,7,3,6,8,5,2]
[5,8,2,3,4,7,1,6]=>[3,4,1,5,7,8,6,2]
[6,3,4,7,8,2,1,5]=>[7,2,3,1,6,4,8,5]
[3,8,5,1,4,7,6,2]=>[8,5,1,3,7,4,6,2]
[4,8,5,1,3,6,7,2]=>[1,5,6,3,8,4,7,2]
[4,6,8,5,2,7,3,1]=>[2,8,1,5,4,7,6,3]
[3,7,8,5,2,6,4,1]=>[8,5,4,1,2,7,6,3]
[3,8,6,2,7,4,5,1]=>[6,8,4,1,3,7,5,2]
[8,5,4,7,1,3,6,2]=>[6,3,2,8,5,7,4,1]
[7,3,6,2,8,1,5,4]=>[8,2,4,6,3,1,7,5]
[8,1,5,2,3,7,6,4]=>[8,7,4,2,3,5,6,1]
[6,4,2,3,7,8,5,1]=>[5,2,8,3,1,4,7,6]
[8,4,2,3,6,7,1,5]=>[7,3,2,4,5,8,6,1]
[4,5,8,3,7,2,1,6]=>[1,2,4,7,6,8,5,3]
[3,7,2,8,4,5,1,6]=>[5,7,1,3,6,2,8,4]
[3,5,1,8,4,6,2,7]=>[5,1,2,7,6,8,3,4]
[4,2,1,5,6,8,3,7]=>[2,4,1,5,7,8,3,6]
[4,1,2,6,5,8,3,7]=>[5,4,1,7,8,2,3,6]
[4,1,8,3,2,6,7,5]=>[4,1,6,8,5,7,2,3]
[4,2,7,5,8,1,3,6]=>[1,6,4,7,2,3,8,5]
[4,6,2,7,8,3,1,5]=>[7,1,6,3,2,4,8,5]
[4,6,1,3,8,2,5,7]=>[4,1,6,7,2,8,3,5]
[4,3,6,2,1,8,7,5]=>[1,8,2,4,3,7,5,6]
[3,7,4,5,1,6,2,8]=>[3,7,1,5,4,6,2,8]
[3,6,4,5,8,2,1,7]=>[3,4,1,2,7,6,8,5]
[6,1,4,5,2,8,7,3]=>[3,4,8,7,2,1,5,6]
[7,2,4,5,1,6,3,8]=>[3,7,2,5,4,6,1,8]
[7,5,4,1,6,3,2,8]=>[7,6,4,3,2,5,1,8]
[1,5,4,8,6,3,2,7]=>[2,7,3,6,5,8,1,4]
[7,5,4,8,6,3,1,2]=>[3,2,7,1,8,6,5,4]
[1,8,7,5,3,6,4,2]=>[8,5,4,7,6,3,1,2]
[8,3,7,4,1,6,2,5]=>[7,2,4,8,5,6,3,1]
[8,5,4,1,6,3,2,7]=>[7,6,4,3,2,5,8,1]
[1,7,4,2,6,5,3,8]=>[3,7,6,4,5,1,2,8]
[8,2,1,5,6,7,3,4]=>[4,7,2,5,8,3,6,1]
[6,3,1,8,4,7,2,5]=>[2,5,7,1,8,6,3,4]
[7,1,4,8,6,3,2,5]=>[7,3,6,8,5,2,1,4]
[4,1,8,5,6,7,2,3]=>[1,4,7,5,8,6,2,3]
[5,7,4,8,6,2,1,3]=>[1,3,7,6,2,8,5,4]
[5,3,6,8,2,7,1,4]=>[5,2,1,3,7,8,6,4]
[6,3,7,4,8,2,1,5]=>[4,7,2,1,6,3,8,5]
[5,3,6,1,4,7,2,8]=>[2,5,1,7,4,3,6,8]
[4,3,6,8,2,7,1,5]=>[1,5,2,3,7,8,6,4]
[5,3,7,4,8,2,1,6]=>[4,1,7,2,6,3,8,5]
[5,3,8,4,1,6,2,7]=>[7,2,1,5,4,6,8,3]
[5,3,8,1,4,7,2,6]=>[2,5,1,7,8,4,6,3]
[5,8,4,1,6,3,2,7]=>[1,7,6,4,3,5,8,2]
[7,3,8,4,1,6,2,5]=>[7,2,4,8,5,1,6,3]
[1,5,8,3,6,7,4,2]=>[2,5,8,4,7,6,1,3]
[1,8,2,5,6,7,3,4]=>[4,7,5,8,3,6,1,2]
[7,8,4,1,6,5,2,3]=>[7,3,8,6,4,1,5,2]
[6,3,8,1,5,7,2,4]=>[7,2,5,1,8,4,6,3]
[8,3,1,2,5,7,4,6]=>[5,2,7,8,3,4,6,1]
[8,1,4,2,6,5,3,7]=>[3,7,6,2,4,5,8,1]
[5,1,3,7,4,8,2,6]=>[5,7,3,1,4,8,2,6]
[5,1,3,4,7,8,2,6]=>[7,3,4,1,5,8,2,6]
[2,5,8,7,4,3,6,1]=>[6,2,5,8,7,1,4,3]
[5,1,7,8,3,4,2,6]=>[5,1,7,6,3,8,2,4]
[2,5,4,8,3,7,6,1]=>[2,8,3,5,7,1,6,4]
[5,6,8,2,3,4,1,7]=>[4,1,5,2,7,6,8,3]
[2,3,5,7,4,6,8,1]=>[3,5,6,1,2,4,8,7]
[4,5,2,3,8,6,1,7]=>[1,7,3,2,4,6,8,5]
[3,7,4,5,8,1,2,6]=>[3,6,1,4,7,2,8,5]
[3,7,8,1,4,5,2,6]=>[5,7,1,4,6,2,8,3]
[5,8,2,1,6,3,4,7]=>[3,6,1,7,4,5,8,2]
[4,8,1,3,7,5,2,6]=>[1,7,4,6,8,3,5,2]
[2,4,7,8,5,3,6,1]=>[6,5,2,3,8,1,7,4]
[5,3,1,4,7,2,8,6]=>[2,8,4,1,6,3,5,7]
[4,3,8,5,1,2,7,6]=>[1,8,2,5,4,6,7,3]
[2,4,7,5,8,3,6,1]=>[4,6,2,3,8,1,7,5]
[4,3,5,8,2,1,7,6]=>[2,1,3,5,8,6,7,4]
[4,8,5,3,7,1,2,6]=>[6,1,4,3,7,8,5,2]
[4,8,5,7,3,1,2,6]=>[6,1,3,7,5,8,4,2]
[4,8,7,5,1,3,2,6]=>[7,1,5,6,4,8,3,2]
[4,2,8,5,1,3,6,7]=>[5,1,6,2,4,7,8,3]
[3,7,8,4,1,5,2,6]=>[7,5,1,4,6,2,8,3]
[3,4,7,5,8,2,1,6]=>[4,7,1,2,6,3,8,5]
[1,8,5,7,2,4,3,6]=>[7,5,3,6,8,4,1,2]
[1,8,5,4,2,3,6,7]=>[5,6,4,3,7,8,1,2]
[1,3,6,8,5,4,2,7]=>[3,7,6,2,5,8,1,4]
[1,6,3,8,2,7,4,5]=>[7,8,3,2,5,6,1,4]
[1,4,2,7,5,8,3,6]=>[2,5,7,4,8,1,3,6]
[1,8,2,3,6,7,5,4]=>[5,8,7,3,4,6,1,2]
[1,3,6,8,2,7,5,4]=>[3,8,7,2,5,6,1,4]
[1,6,5,4,3,8,2,7]=>[5,4,3,2,7,8,1,6]
[1,8,3,4,5,6,2,7]=>[3,4,5,7,6,8,1,2]
[1,8,3,6,2,4,5,7]=>[3,5,6,7,4,8,1,2]
[1,2,7,8,4,5,3,6]=>[5,7,6,3,8,1,2,4]
[7,2,8,4,3,6,5,1]=>[4,8,5,7,2,1,6,3]
[7,2,8,5,6,3,4,1]=>[6,4,8,7,2,1,5,3]
[7,6,3,8,5,4,2,1]=>[8,7,3,2,1,6,5,4]
[6,2,8,7,5,4,1,3]=>[7,1,8,6,5,2,4,3]
[6,2,8,4,3,7,1,5]=>[5,4,7,1,8,2,6,3]
[5,2,8,4,3,1,7,6]=>[5,4,1,8,2,6,7,3]
[1,4,7,3,2,6,8,5]=>[2,4,6,8,5,1,3,7]
[1,5,7,3,6,2,8,4]=>[2,8,4,6,5,1,3,7]
[3,6,2,7,1,5,4,8]=>[7,1,3,5,2,6,4,8]
[1,2,5,4,8,3,7,6]=>[3,8,4,6,7,1,2,5]
[1,4,3,5,8,2,7,6]=>[2,8,3,4,6,7,1,5]
[1,4,3,6,8,7,2,5]=>[2,4,7,8,3,6,1,5]
[1,5,3,7,6,8,2,4]=>[2,7,5,3,4,8,1,6]
[1,6,4,5,7,8,2,3]=>[3,4,2,7,5,8,1,6]
[4,2,6,5,7,8,1,3]=>[1,4,3,7,2,5,8,6]
[3,2,5,7,6,8,1,4]=>[7,1,3,5,2,4,8,6]
[3,2,4,6,8,7,1,5]=>[1,4,7,8,2,3,6,5]
[5,3,2,6,8,4,7,1]=>[2,4,1,6,8,3,7,5]
[3,1,6,8,5,4,2,7]=>[3,7,1,6,5,8,2,4]
[5,3,2,8,7,6,4,1]=>[1,8,7,2,6,3,5,4]
[5,3,8,2,7,6,1,4]=>[7,1,8,2,4,6,5,3]
[6,5,4,8,3,7,2,1]=>[3,2,1,5,8,7,6,4]
[4,8,5,1,3,7,2,6]=>[1,5,7,3,8,4,6,2]
[4,3,8,7,2,6,5,1]=>[8,1,5,7,2,6,4,3]
[2,7,5,1,8,4,6,3]=>[6,3,8,7,1,4,2,5]
[7,8,5,2,1,6,4,3]=>[8,4,7,5,3,1,6,2]
[7,6,4,8,1,2,5,3]=>[8,5,3,6,2,1,7,4]
[7,5,4,8,3,2,6,1]=>[3,2,6,5,1,8,7,4]
[8,6,4,7,3,2,1,5]=>[3,7,6,5,2,8,4,1]
[3,8,5,6,2,7,1,4]=>[5,3,7,1,4,8,6,2]
[2,4,5,8,7,3,1,6]=>[7,2,3,6,8,1,5,4]
[2,4,5,8,6,7,1,3]=>[7,2,3,5,8,1,6,4]
[4,3,1,5,6,2,8,7]=>[4,2,1,5,8,3,6,7]
[4,1,5,8,6,7,2,3]=>[1,7,3,5,8,6,2,4]
[4,3,7,6,1,2,8,5]=>[1,8,2,5,6,4,3,7]
[4,7,5,6,1,2,8,3]=>[8,1,5,3,6,4,2,7]
[4,3,7,5,6,2,8,1]=>[1,4,6,2,5,3,8,7]
[4,5,1,8,6,7,3,2]=>[1,2,5,8,7,6,3,4]
[3,4,5,8,6,7,2,1]=>[5,8,1,2,3,7,6,4]
[2,1,5,8,6,7,4,3]=>[5,8,3,7,1,6,2,4]
[3,4,5,8,7,1,2,6]=>[1,2,3,6,7,8,5,4]
[4,7,1,5,6,2,8,3]=>[1,4,8,6,3,5,2,7]
[2,6,4,7,1,3,8,5]=>[3,8,5,1,2,6,4,7]
[5,3,8,6,4,7,2,1]=>[1,5,4,8,2,7,6,3]
[6,4,1,5,7,8,3,2]=>[4,2,5,1,8,7,3,6]
[3,6,4,7,2,1,8,5]=>[3,5,1,2,8,6,4,7]
[3,8,4,6,1,7,2,5]=>[3,7,8,1,5,4,6,2]
[3,8,5,6,4,7,2,1]=>[3,5,4,8,1,7,6,2]
[3,8,4,5,6,7,2,1]=>[3,4,5,8,1,7,6,2]
[3,8,6,5,2,7,4,1]=>[8,5,4,1,3,7,6,2]
[3,8,7,5,2,1,4,6]=>[6,5,7,1,4,8,3,2]
[3,8,6,5,1,7,2,4]=>[7,8,5,1,4,3,6,2]
[6,4,1,7,3,2,8,5]=>[5,2,8,6,3,1,4,7]
[5,1,4,6,7,2,8,3]=>[3,4,1,8,6,2,5,7]
[6,5,4,7,1,3,8,2]=>[6,3,2,1,8,5,4,7]
[2,1,6,5,3,7,8,4]=>[6,4,1,3,8,2,5,7]
[6,1,4,7,2,3,8,5]=>[3,8,5,6,2,1,4,7]
[1,6,2,5,4,8,3,7]=>[5,4,7,2,8,1,3,6]
[4,1,2,7,5,8,3,6]=>[5,1,7,4,8,2,3,6]
[6,1,3,5,8,2,4,7]=>[6,3,4,7,1,8,2,5]
[5,6,4,3,1,8,2,7]=>[1,7,4,3,2,8,5,6]
[6,2,3,5,8,1,4,7]=>[6,2,3,4,1,7,8,5]
[6,7,2,3,8,4,5,1]=>[6,8,3,1,4,2,7,5]
[6,7,2,1,3,8,4,5]=>[3,7,8,4,1,5,2,6]
[5,7,4,1,8,3,2,6]=>[1,7,6,3,8,4,2,5]
[4,1,7,5,8,3,6,2]=>[1,4,6,3,8,7,2,5]
[6,7,1,3,8,4,5,2]=>[6,8,4,1,7,3,2,5]
[1,6,7,4,3,8,5,2]=>[4,2,8,5,3,7,1,6]
[6,1,7,4,2,8,5,3]=>[4,8,7,5,2,1,3,6]
[2,1,6,7,4,3,8,5]=>[5,3,8,1,6,2,4,7]
[6,7,3,2,1,8,4,5]=>[4,3,7,1,8,5,2,6]
[2,5,7,3,1,4,8,6]=>[4,2,8,1,5,6,3,7]
[6,7,3,2,8,4,5,1]=>[3,6,1,8,4,2,7,5]
[1,2,6,7,4,3,8,5]=>[5,3,8,6,1,2,4,7]
[2,7,1,8,4,6,3,5]=>[5,7,8,6,1,3,2,4]
[2,7,5,8,1,6,3,4]=>[7,3,8,5,1,2,6,4]
[6,7,1,8,4,5,3,2]=>[5,1,8,7,6,3,2,4]
[8,3,7,6,1,2,5,4]=>[8,2,5,6,7,4,3,1]
[8,7,3,4,6,2,5,1]=>[3,4,6,8,7,5,2,1]
[8,2,5,7,1,4,6,3]=>[6,3,8,2,5,7,4,1]
[8,2,4,7,1,5,6,3]=>[3,6,8,2,5,7,4,1]
[8,2,3,4,7,1,5,6]=>[2,3,4,6,7,8,5,1]
[8,7,3,5,6,2,4,1]=>[6,3,4,8,7,5,2,1]
[8,7,4,6,5,2,3,1]=>[3,6,8,7,5,4,2,1]
[8,4,6,7,5,1,2,3]=>[2,6,7,3,8,5,4,1]
[8,4,6,7,5,1,3,2]=>[8,2,6,3,7,5,4,1]
[8,3,5,7,6,1,4,2]=>[3,8,2,6,7,5,4,1]
[8,7,3,6,2,1,5,4]=>[3,5,8,6,7,4,2,1]
[8,7,3,4,6,2,1,5]=>[3,4,7,6,8,5,2,1]
[8,7,4,6,5,2,1,3]=>[3,7,6,8,5,4,2,1]
[8,6,5,2,7,4,3,1]=>[8,7,4,3,2,6,5,1]
[8,4,3,7,6,5,1,2]=>[2,7,8,3,6,5,4,1]
[8,5,6,7,4,1,3,2]=>[2,8,6,3,7,5,4,1]
[8,5,7,6,4,1,2,3]=>[6,2,7,8,5,4,3,1]
[8,4,2,7,5,1,6,3]=>[2,8,6,3,5,7,4,1]
[8,3,4,2,7,5,6,1]=>[2,3,6,8,4,7,5,1]
[8,4,7,6,5,1,2,3]=>[2,6,7,8,5,4,3,1]
[8,3,5,2,7,4,6,1]=>[6,2,3,8,4,7,5,1]
[8,5,2,6,7,4,1,3]=>[7,4,2,8,3,6,5,1]
[8,5,3,7,6,4,1,2]=>[7,2,8,3,6,5,4,1]
[8,6,2,5,7,3,1,4]=>[7,6,3,4,2,8,5,1]
[8,6,2,4,7,3,1,5]=>[4,7,3,6,2,8,5,1]
[8,5,2,3,7,4,1,6]=>[7,3,4,2,6,8,5,1]
[8,5,3,2,7,6,4,1]=>[8,3,2,7,4,6,5,1]
[8,6,1,5,4,3,2,7]=>[7,6,5,3,4,2,8,1]
[2,4,5,8,3,1,6,7]=>[2,3,6,1,5,7,8,4]
[2,7,4,6,1,5,8,3]=>[3,6,8,5,1,4,2,7]
[2,4,3,8,5,1,6,7]=>[2,6,1,3,5,7,8,4]
[7,8,3,2,5,4,6,1]=>[3,6,4,5,1,8,7,2]
[1,5,6,7,3,8,2,4]=>[2,5,3,7,4,8,1,6]
[1,6,5,4,8,3,2,7]=>[4,3,2,7,6,8,1,5]
[1,7,3,5,8,4,6,2]=>[4,6,8,3,2,7,1,5]
[7,2,1,6,4,8,5,3]=>[8,5,2,4,7,3,1,6]
[7,5,8,3,2,4,6,1]=>[5,4,2,6,1,8,7,3]
[3,8,7,2,4,6,5,1]=>[8,4,5,7,1,6,3,2]
[1,3,7,6,4,8,5,2]=>[8,5,4,2,3,7,1,6]
[3,1,8,7,6,4,2,5]=>[7,6,8,1,5,4,2,3]
[3,1,8,7,5,4,2,6]=>[7,6,1,5,8,4,2,3]
[3,1,7,6,5,4,2,8]=>[7,6,1,5,4,2,3,8]
[4,7,1,6,5,3,2,8]=>[7,1,6,5,3,4,2,8]
[4,8,1,6,5,3,2,7]=>[7,1,6,5,3,4,8,2]
[8,4,1,7,6,3,2,5]=>[2,7,6,8,5,3,4,1]
[5,4,1,8,6,3,2,7]=>[2,1,7,6,5,8,3,4]
[5,4,1,7,6,3,2,8]=>[2,1,7,6,5,3,4,8]
[6,4,1,8,5,3,2,7]=>[2,7,6,5,1,8,3,4]
[8,4,1,7,5,3,2,6]=>[2,7,6,5,8,3,4,1]
[7,4,1,6,5,3,2,8]=>[2,7,6,5,3,4,1,8]
[7,5,6,1,4,3,2,8]=>[7,6,4,2,5,3,1,8]
[8,5,6,1,4,3,2,7]=>[7,6,4,2,5,3,8,1]
[8,5,7,1,4,3,2,6]=>[7,6,4,2,5,8,3,1]
[5,7,6,1,4,3,2,8]=>[1,7,6,4,5,3,2,8]
[5,8,6,1,4,3,2,7]=>[1,7,6,4,5,3,8,2]
[6,7,5,1,4,3,2,8]=>[7,6,4,1,5,3,2,8]
[8,7,5,1,4,3,2,6]=>[7,6,4,5,3,8,2,1]
[8,6,5,1,4,3,2,7]=>[7,6,4,5,3,2,8,1]
[8,6,1,7,2,5,3,4]=>[7,8,5,6,3,2,4,1]
[1,8,6,3,4,2,5,7]=>[4,6,5,7,3,8,1,2]
[3,1,6,4,5,8,7,2]=>[8,1,4,3,5,7,2,6]
[3,1,6,4,5,2,7,8]=>[1,4,6,5,2,3,7,8]
[3,1,6,4,5,8,2,7]=>[1,4,5,3,7,8,2,6]
[3,1,6,4,5,7,2,8]=>[1,4,5,3,7,2,6,8]
[4,6,8,7,2,5,1,3]=>[5,1,2,7,8,6,4,3]
[7,6,3,8,4,5,2,1]=>[5,8,3,2,1,7,6,4]
[8,2,7,6,1,4,3,5]=>[7,5,6,8,2,4,3,1]
[5,2,7,8,1,4,3,6]=>[7,5,1,6,2,3,8,4]
[8,2,7,6,1,4,5,3]=>[6,8,5,7,2,4,3,1]
[5,2,3,4,7,1,6,8]=>[2,3,4,1,6,7,5,8]
[5,2,3,7,1,6,8,4]=>[6,8,2,1,3,5,4,7]
[5,2,3,4,7,8,1,6]=>[7,2,3,1,4,5,8,6]
[8,7,5,3,1,6,4,2]=>[4,8,7,5,3,6,2,1]
[1,4,7,8,5,2,3,6]=>[6,7,2,5,3,8,1,4]
[3,2,6,7,4,1,5,8]=>[6,1,5,2,3,7,4,8]
[5,8,3,7,6,4,1,2]=>[1,7,8,3,6,5,4,2]
[6,5,1,7,2,4,8,3]=>[6,8,5,3,2,1,4,7]
[3,6,7,1,4,2,5,8]=>[6,1,4,5,2,7,3,8]
[4,7,5,8,2,1,3,6]=>[6,1,5,3,7,2,8,4]
[8,1,2,7,5,4,3,6]=>[7,6,5,8,2,3,4,1]
[6,5,1,8,3,7,2,4]=>[5,7,2,1,8,6,3,4]
[1,8,7,5,3,2,6,4]=>[5,8,6,4,7,3,1,2]
[7,8,1,5,4,2,3,6]=>[6,7,5,3,4,1,8,2]
[2,7,5,1,4,6,3,8]=>[5,7,4,1,3,6,2,8]
[3,4,6,8,1,5,7,2]=>[6,1,2,3,8,5,7,4]
[5,7,6,1,4,3,8,2]=>[1,6,5,8,4,3,2,7]
[6,8,1,7,5,4,2,3]=>[7,1,8,6,5,3,4,2]
[6,3,5,7,1,4,2,8]=>[7,2,5,3,1,6,4,8]
[5,2,6,7,4,8,1,3]=>[3,1,7,5,2,4,8,6]
[1,7,5,2,6,4,8,3]=>[6,5,3,8,4,1,2,7]
[7,1,3,6,8,2,4,5]=>[6,7,3,4,8,2,1,5]
[1,2,5,7,8,4,6,3]=>[6,3,4,8,7,1,2,5]
[3,1,2,7,5,4,8,6]=>[1,5,8,6,2,3,4,7]
[6,7,4,1,3,2,8,5]=>[5,8,4,3,1,6,2,7]
[1,7,2,8,4,3,5,6]=>[6,5,7,8,3,1,2,4]
[1,6,3,5,7,8,2,4]=>[4,7,3,2,5,8,1,6]
[8,6,1,7,5,2,4,3]=>[8,6,7,5,3,2,4,1]
[7,6,4,1,8,3,2,5]=>[7,6,3,8,4,2,1,5]
[8,4,1,6,5,2,7,3]=>[2,8,6,5,3,4,7,1]
[1,5,3,4,7,8,2,6]=>[7,3,2,4,5,8,1,6]
[4,2,1,5,7,8,3,6]=>[7,2,1,4,5,8,3,6]
[5,4,1,6,7,8,2,3]=>[4,2,1,7,5,8,3,6]
[5,1,4,6,7,8,2,3]=>[3,4,1,7,5,8,2,6]
[4,1,5,3,7,8,2,6]=>[3,1,7,4,5,8,2,6]
[8,1,4,6,5,2,7,3]=>[8,3,6,5,2,4,7,1]
[7,1,5,4,6,3,2,8]=>[4,3,7,6,2,5,1,8]
[8,2,1,6,7,5,4,3]=>[4,8,7,2,6,3,5,1]
[1,2,4,7,6,3,8,5]=>[8,6,3,5,1,2,4,7]
[6,7,4,1,8,5,2,3]=>[7,3,1,8,6,4,2,5]
[8,6,4,1,5,7,3,2]=>[5,3,8,7,4,2,6,1]
[5,2,4,3,7,1,6,8]=>[4,2,3,1,6,7,5,8]
[6,1,5,4,8,3,2,7]=>[4,3,7,6,1,8,2,5]
[1,2,8,7,4,3,6,5]=>[5,8,6,7,4,1,2,3]
[3,2,1,7,5,8,4,6]=>[1,5,7,2,4,8,3,6]
[1,3,6,4,7,8,2,5]=>[7,4,2,3,5,8,1,6]
[4,5,1,3,7,8,2,6]=>[1,7,4,2,5,8,3,6]
[5,2,3,1,7,8,4,6]=>[7,2,3,1,5,8,4,6]
[1,6,4,3,7,8,2,5]=>[3,7,4,2,5,8,1,6]
[7,6,4,3,1,5,2,8]=>[7,5,4,3,6,2,1,8]
[7,5,4,6,1,3,2,8]=>[7,5,3,2,6,4,1,8]
[8,4,6,5,1,2,7,3]=>[2,8,5,6,4,3,7,1]
[1,5,6,3,7,8,2,4]=>[2,7,4,3,5,8,1,6]
[6,8,3,5,7,2,4,1]=>[6,3,1,4,8,7,5,2]
[8,6,5,7,2,1,4,3]=>[5,8,6,3,2,7,4,1]
[1,6,3,8,4,5,7,2]=>[5,6,2,8,3,7,1,4]
[7,5,4,2,6,3,8,1]=>[6,4,3,2,5,1,8,7]
[2,3,8,4,7,5,6,1]=>[6,8,4,7,1,2,5,3]
[3,7,2,8,6,4,5,1]=>[6,8,7,1,3,2,5,4]
[6,3,7,5,8,2,4,1]=>[6,4,2,1,3,8,7,5]
[4,3,7,8,6,2,5,1]=>[6,1,3,8,2,7,5,4]
[3,8,1,7,5,2,4,6]=>[6,7,1,5,8,3,4,2]
[2,4,7,8,6,1,5,3]=>[8,6,2,3,7,1,5,4]
[2,4,8,5,1,7,3,6]=>[7,2,4,8,1,5,6,3]
[2,8,3,5,1,6,4,7]=>[7,3,5,1,4,6,8,2]
[8,2,4,6,3,7,5,1]=>[8,3,5,2,4,7,6,1]
[4,5,3,8,2,1,7,6]=>[1,3,2,5,8,6,7,4]
[4,8,3,2,5,1,6,7]=>[1,4,3,6,5,7,8,2]
[5,2,7,1,3,8,6,4]=>[8,7,2,1,4,5,3,6]
[1,4,6,2,7,5,3,8]=>[7,2,6,4,1,3,5,8]
[8,2,7,5,1,4,6,3]=>[6,8,5,2,4,7,3,1]
[1,7,4,6,8,3,5,2]=>[6,3,4,2,8,7,1,5]
[8,2,1,4,5,6,7,3]=>[2,4,5,6,8,3,7,1]
[7,3,1,2,5,6,4,8]=>[5,2,7,3,4,6,1,8]
[7,2,4,1,5,8,6,3]=>[3,8,2,5,7,4,1,6]
[7,8,2,1,5,4,6,3]=>[6,3,5,8,4,1,7,2]
[1,4,2,8,6,5,3,7]=>[7,2,6,5,8,1,3,4]
[1,4,8,5,2,6,3,7]=>[7,2,5,4,6,8,1,3]
[1,5,2,4,6,3,8,7]=>[4,5,2,8,1,3,6,7]
[1,8,5,3,2,6,4,7]=>[4,7,5,3,6,8,1,2]
[6,4,1,3,2,5,8,7]=>[4,8,3,2,5,1,6,7]
[5,2,3,7,8,1,6,4]=>[8,6,2,1,3,4,7,5]
[5,2,8,6,3,1,7,4]=>[5,1,8,6,2,4,7,3]
[6,2,3,5,1,8,7,4]=>[4,8,2,3,1,7,5,6]
[7,6,3,4,2,8,1,5]=>[3,5,4,7,2,1,8,6]
[6,2,4,5,7,8,1,3]=>[3,4,7,2,1,5,8,6]
[8,6,3,2,5,7,1,4]=>[3,7,4,5,2,8,6,1]
[6,2,5,3,7,1,8,4]=>[8,4,2,3,1,6,5,7]
[8,5,3,6,7,2,1,4]=>[7,3,2,6,4,8,5,1]
[4,5,7,8,6,2,1,3]=>[7,1,2,6,3,8,5,4]
[1,2,8,4,3,6,7,5]=>[4,6,8,5,7,1,2,3]
[1,8,3,2,4,6,7,5]=>[3,6,8,4,5,7,1,2]
[1,2,7,5,3,4,6,8]=>[5,6,4,7,1,2,3,8]
[1,2,7,4,5,3,8,6]=>[4,5,8,6,1,2,3,7]
[1,7,3,2,6,8,4,5]=>[7,3,5,8,4,1,2,6]
[8,2,7,1,4,3,5,6]=>[6,2,4,5,7,8,3,1]
[7,2,1,3,6,8,4,5]=>[7,2,5,8,3,4,1,6]
[6,2,1,7,8,3,4,5]=>[6,7,2,4,1,8,3,5]
[4,7,8,1,6,5,3,2]=>[8,7,1,6,4,2,5,3]
[3,5,8,6,1,4,2,7]=>[2,7,1,5,6,4,8,3]
[1,8,4,2,7,6,3,5]=>[3,7,8,6,4,5,1,2]
[8,7,2,6,5,4,3,1]=>[8,7,6,3,5,4,2,1]
[7,3,8,1,6,5,4,2]=>[8,7,2,6,4,1,5,3]
[7,3,8,2,6,5,4,1]=>[8,7,2,4,1,6,5,3]
[7,1,3,8,6,5,4,2]=>[8,7,6,3,5,2,1,4]
[8,1,3,7,6,5,4,2]=>[8,7,6,3,5,2,4,1]
[2,4,1,8,7,3,6,5]=>[8,2,6,7,1,5,3,4]
[7,3,8,6,1,5,4,2]=>[8,7,2,5,1,6,4,3]
[3,5,1,7,8,2,6,4]=>[2,8,1,6,4,7,3,5]
[5,4,7,8,2,1,6,3]=>[2,1,5,8,6,3,7,4]
[5,3,6,1,8,4,2,7]=>[7,2,1,6,3,8,4,5]
[6,3,8,7,1,5,4,2]=>[8,7,2,1,5,6,4,3]
[8,6,4,7,1,5,3,2]=>[3,8,7,5,2,6,4,1]
[6,4,7,1,5,3,2,8]=>[2,7,6,4,1,5,3,8]
[3,4,6,2,1,8,5,7]=>[1,2,4,7,3,8,5,6]
[4,5,7,2,1,6,3,8]=>[1,4,2,7,5,6,3,8]
[5,6,4,8,3,2,1,7]=>[1,3,2,7,6,5,8,4]
[5,7,4,8,2,1,6,3]=>[1,5,3,8,6,2,7,4]
[4,7,5,8,2,1,6,3]=>[5,1,3,8,6,2,7,4]
[5,7,4,2,6,3,8,1]=>[1,6,4,3,5,2,8,7]
[5,7,4,1,6,2,8,3]=>[1,8,6,4,3,5,2,7]
[6,8,7,3,1,4,2,5]=>[7,5,4,1,6,8,3,2]
[8,5,6,1,7,3,2,4]=>[7,6,2,8,4,3,5,1]
[4,5,1,6,7,8,3,2]=>[1,4,2,5,8,7,3,6]
[4,5,2,6,1,3,8,7]=>[1,8,3,2,5,4,6,7]
[3,4,6,7,2,5,8,1]=>[5,1,2,3,6,4,8,7]
[7,1,4,6,8,3,5,2]=>[6,3,4,8,7,2,1,5]
[6,7,1,2,4,8,5,3]=>[8,5,7,3,1,4,2,6]
[1,6,3,4,7,8,5,2]=>[5,8,3,2,4,7,1,6]
[2,3,6,4,7,5,8,1]=>[6,4,1,2,3,5,8,7]
[7,8,1,3,4,5,6,2]=>[4,5,6,8,3,1,7,2]
[1,8,2,6,7,3,4,5]=>[6,7,4,8,3,5,1,2]
[7,1,2,6,3,8,5,4]=>[8,7,5,2,3,4,1,6]
[8,1,2,6,3,7,5,4]=>[8,7,5,2,3,4,6,1]
[8,1,2,7,6,3,5,4]=>[8,6,7,5,2,3,4,1]
[4,8,7,3,1,6,2,5]=>[7,1,4,8,5,6,3,2]
[4,7,8,3,1,6,2,5]=>[7,1,4,8,5,2,6,3]
[7,4,3,1,6,2,8,5]=>[3,2,8,6,4,5,1,7]
[7,4,3,1,8,6,2,5]=>[3,2,7,8,6,4,1,5]
[3,7,6,2,4,8,1,5]=>[4,5,7,1,3,2,8,6]
[4,3,7,2,8,6,1,5]=>[1,7,8,2,4,3,6,5]
[6,1,2,7,4,3,8,5]=>[5,8,6,2,3,1,4,7]
[5,1,2,6,3,8,7,4]=>[4,8,7,2,1,3,5,6]
[8,3,6,2,1,7,4,5]=>[2,4,7,8,5,3,6,1]
[6,1,2,8,3,5,7,4]=>[6,8,5,7,2,1,3,4]
[7,5,3,2,1,8,6,4]=>[3,8,4,2,7,5,1,6]
[4,2,1,5,3,6,7,8]=>[2,5,3,1,4,6,7,8]
[6,2,5,4,1,8,7,3]=>[4,3,8,2,1,7,5,6]
[4,6,3,2,1,8,7,5]=>[1,3,8,4,2,7,5,6]
[6,5,3,2,1,8,7,4]=>[3,8,4,2,1,7,5,6]
[8,4,3,2,7,6,1,5]=>[3,2,7,8,4,6,5,1]
[1,5,8,4,7,6,3,2]=>[8,2,4,7,6,5,1,3]
[3,2,7,4,8,6,1,5]=>[7,8,1,4,2,3,6,5]
[7,4,3,2,8,6,1,5]=>[3,2,7,8,4,1,6,5]
[6,8,3,7,5,2,1,4]=>[7,3,1,6,8,5,4,2]
[5,7,8,4,3,2,1,6]=>[7,1,6,5,4,2,8,3]
[6,4,3,8,5,2,1,7]=>[2,7,3,1,6,5,8,4]
[8,2,5,4,7,6,1,3]=>[4,3,7,8,2,6,5,1]
[7,2,5,4,8,6,1,3]=>[4,3,7,8,2,1,6,5]
[4,5,3,2,8,6,1,7]=>[1,3,2,7,4,6,8,5]
[3,2,5,4,8,6,1,7]=>[1,3,7,2,4,6,8,5]
[3,2,8,6,5,4,1,7]=>[7,6,1,5,2,4,8,3]
[8,4,3,6,5,2,1,7]=>[2,7,3,6,5,4,8,1]
[8,4,3,7,5,2,1,6]=>[2,7,3,6,5,8,4,1]
[3,2,7,8,5,4,1,6]=>[7,6,1,5,2,3,8,4]
[6,8,7,4,3,2,1,5]=>[1,7,6,5,4,8,3,2]
[3,6,1,4,8,7,2,5]=>[7,8,1,4,2,6,3,5]
[5,8,1,3,7,2,6,4]=>[8,4,1,6,7,3,5,2]
[4,7,5,1,8,2,6,3]=>[8,1,6,3,7,4,2,5]
[6,3,2,1,8,7,4,5]=>[2,7,8,3,1,6,4,5]
[6,2,3,1,8,7,4,5]=>[7,8,2,3,1,6,4,5]
[3,4,7,1,8,5,6,2]=>[6,8,1,2,7,4,3,5]
[3,4,8,1,7,5,6,2]=>[6,8,1,2,7,4,5,3]
[7,2,5,1,8,3,6,4]=>[8,6,2,3,7,4,1,5]
[7,2,1,5,8,4,6,3]=>[4,6,8,2,7,3,1,5]
[4,2,8,1,7,5,6,3]=>[1,6,8,7,2,4,5,3]
[8,3,6,4,1,7,5,2]=>[4,8,2,7,5,3,6,1]
[7,3,1,5,2,8,6,4]=>[2,4,8,7,3,5,1,6]
[7,1,6,4,2,8,5,3]=>[4,8,7,5,2,3,1,6]
[3,7,4,1,5,8,6,2]=>[3,8,1,5,7,4,2,6]
[5,8,6,1,2,7,4,3]=>[1,8,7,4,5,3,6,2]
[6,8,1,4,3,7,5,2]=>[4,8,5,1,7,3,6,2]
[6,7,1,4,3,8,5,2]=>[4,8,5,1,7,3,2,6]
[4,7,1,5,3,8,6,2]=>[1,4,8,5,7,3,2,6]
[6,8,1,2,4,7,5,3]=>[8,5,7,3,1,4,6,2]
[7,1,6,4,8,3,5,2]=>[4,6,3,8,7,2,1,5]
[8,6,4,1,3,7,5,2]=>[8,5,3,7,4,2,6,1]
[8,5,3,6,1,7,4,2]=>[8,3,2,7,5,4,6,1]
[7,2,1,4,5,8,6,3]=>[8,2,4,5,7,3,1,6]
[8,5,6,1,2,7,4,3]=>[8,7,4,2,5,3,6,1]
[8,6,2,5,4,7,3,1]=>[5,4,8,3,2,7,6,1]
[8,5,7,3,2,4,6,1]=>[5,4,2,6,8,7,3,1]
[8,5,2,1,4,3,6,7]=>[3,6,4,5,2,7,8,1]
[2,8,4,1,3,6,7,5]=>[6,3,8,1,4,5,7,2]
[8,1,2,4,5,6,7,3]=>[4,5,6,8,2,3,7,1]
[6,1,4,3,2,7,8,5]=>[4,3,6,8,2,1,5,7]
[1,8,3,6,7,2,4,5]=>[6,7,3,4,8,5,1,2]
[1,2,8,3,7,4,6,5]=>[8,6,7,4,5,1,2,3]
[8,2,6,5,4,3,1,7]=>[7,6,5,2,4,3,8,1]
[8,2,7,6,4,5,3,1]=>[5,8,7,6,2,4,3,1]
[8,7,3,5,4,2,6,1]=>[6,3,5,4,8,7,2,1]
[4,6,7,2,1,8,3,5]=>[1,4,7,2,8,5,3,6]
[3,7,1,8,2,5,4,6]=>[7,1,5,6,8,3,2,4]
[4,5,8,6,1,3,7,2]=>[1,2,6,8,5,4,7,3]
[4,5,8,6,2,7,3,1]=>[8,1,2,5,4,7,6,3]
[4,6,7,1,5,3,8,2]=>[6,1,5,2,8,4,3,7]
[4,6,7,2,1,8,5,3]=>[8,1,4,2,7,5,3,6]
[4,2,5,6,7,8,3,1]=>[3,1,4,5,8,2,7,6]
[4,1,3,5,6,7,8,2]=>[3,4,1,5,6,8,2,7]
[3,7,8,4,5,1,6,2]=>[4,8,6,1,5,2,7,3]
[4,6,8,3,2,7,1,5]=>[5,1,4,2,7,8,6,3]
[4,6,8,2,3,7,1,5]=>[1,4,5,2,7,8,6,3]
[3,8,1,7,4,5,2,6]=>[5,7,1,6,8,3,4,2]
[4,5,8,3,7,1,2,6]=>[1,2,6,4,7,8,5,3]
[3,7,8,4,6,2,5,1]=>[4,6,2,8,1,7,5,3]
[3,8,2,5,4,7,1,6]=>[5,1,3,4,7,8,6,2]
[3,8,6,2,5,1,7,4]=>[8,4,6,1,5,3,7,2]
[4,5,8,6,2,1,7,3]=>[1,2,5,8,6,4,7,3]
[4,5,8,6,1,2,7,3]=>[1,2,8,5,6,4,7,3]
[4,6,8,5,2,7,1,3]=>[5,1,2,7,4,8,6,3]
[3,7,8,5,2,6,1,4]=>[5,7,4,1,2,8,6,3]
[3,7,8,5,4,1,6,2]=>[8,6,5,1,4,2,7,3]
[4,6,8,5,3,1,7,2]=>[2,8,1,6,5,4,7,3]
[7,8,2,3,5,4,1,6]=>[7,3,4,6,5,1,8,2]
[5,1,3,7,6,4,8,2]=>[6,5,3,1,4,8,2,7]
[4,6,5,2,7,8,1,3]=>[7,1,4,3,2,5,8,6]
[1,6,5,2,3,4,8,7]=>[8,4,5,3,1,2,6,7]
[4,6,5,1,7,3,8,2]=>[6,1,5,3,2,8,4,7]
[5,7,3,1,2,4,8,6]=>[8,4,3,1,5,6,2,7]
[6,3,2,5,1,7,4,8]=>[2,7,3,5,4,1,6,8]
[6,1,2,4,8,5,3,7]=>[7,4,6,8,2,1,3,5]
[6,3,1,7,2,5,8,4]=>[2,6,8,5,3,1,4,7]
[3,7,2,8,5,1,4,6]=>[6,7,1,3,5,2,8,4]
[3,6,5,2,4,7,1,8]=>[4,5,1,3,2,7,6,8]
[3,6,5,8,1,7,2,4]=>[7,3,1,2,8,5,6,4]
[5,2,7,3,4,6,1,8]=>[4,5,1,7,2,6,3,8]
[1,3,5,8,6,4,7,2]=>[6,3,5,8,2,7,1,4]
[1,3,5,8,6,7,2,4]=>[7,3,5,8,2,6,1,4]
[6,1,7,4,8,5,3,2]=>[8,4,3,1,7,6,2,5]
[5,7,4,1,3,6,8,2]=>[5,1,6,3,8,4,2,7]
[7,4,3,1,6,5,8,2]=>[3,2,6,5,8,4,1,7]
[8,6,1,7,5,3,2,4]=>[7,6,8,5,3,2,4,1]
[7,8,1,4,6,5,3,2]=>[8,4,7,6,3,1,5,2]
[7,8,6,1,4,5,3,2]=>[5,8,7,4,1,6,3,2]
[5,1,7,6,3,4,2,8]=>[5,1,7,6,4,2,3,8]
[6,2,7,3,8,5,4,1]=>[8,7,4,2,1,3,6,5]
[1,2,7,5,3,4,8,6]=>[8,5,4,6,1,2,3,7]
[7,2,8,3,6,4,5,1]=>[6,8,4,7,2,1,5,3]
[6,2,7,8,3,1,4,5]=>[6,5,7,2,1,3,8,4]
[1,7,8,2,5,3,4,6]=>[6,7,4,5,2,8,1,3]
[3,7,8,1,2,5,6,4]=>[6,8,1,4,5,2,7,3]
[1,2,8,7,3,4,6,5]=>[8,5,6,7,4,1,2,3]
[8,2,7,4,5,1,6,3]=>[4,8,6,2,5,7,3,1]
[7,5,4,8,6,1,2,3]=>[6,3,2,7,1,8,5,4]
[7,1,8,6,4,5,2,3]=>[7,5,8,6,4,2,1,3]
[8,7,5,1,4,3,6,2]=>[6,5,8,4,3,7,2,1]
[1,5,7,8,3,4,2,6]=>[2,5,7,6,3,8,1,4]
[6,8,4,3,1,7,2,5]=>[7,4,3,1,8,5,6,2]
[8,4,1,3,7,5,6,2]=>[6,2,8,4,7,3,5,1]
[4,8,1,3,7,5,6,2]=>[1,6,8,4,7,3,5,2]
[1,8,5,7,4,2,3,6]=>[6,3,7,5,8,4,1,2]
[2,1,6,8,5,3,4,7]=>[6,3,7,1,5,8,2,4]
[4,5,1,3,8,6,7,2]=>[1,6,2,8,4,7,3,5]
[1,2,6,8,5,3,4,7]=>[6,3,7,5,8,1,2,4]
[5,6,8,7,3,1,2,4]=>[1,6,2,7,5,8,4,3]
[6,7,5,3,8,1,2,4]=>[6,4,1,7,3,2,8,5]
[6,2,3,4,7,1,8,5]=>[8,2,3,4,1,6,5,7]
[6,8,5,7,3,1,2,4]=>[6,1,7,5,3,8,4,2]
[5,7,8,6,3,1,2,4]=>[1,6,7,5,2,8,4,3]
[5,1,4,2,6,8,7,3]=>[3,8,5,1,7,2,4,6]
[6,3,2,4,7,1,8,5]=>[2,8,3,4,1,6,5,7]
[1,5,6,8,4,2,3,7]=>[2,6,3,7,5,8,1,4]
[5,7,8,3,6,1,2,4]=>[1,6,4,7,2,8,5,3]
[1,5,8,6,2,4,3,7]=>[2,7,5,6,4,8,1,3]
[1,5,3,7,2,6,8,4]=>[6,2,8,3,5,1,4,7]
[5,1,8,6,2,4,3,7]=>[7,5,1,6,4,8,2,3]
[5,8,6,3,7,1,2,4]=>[1,6,4,7,3,8,5,2]
[1,5,2,4,8,6,7,3]=>[6,2,8,4,7,1,3,5]
[1,5,4,2,6,8,7,3]=>[3,2,8,5,7,1,4,6]
[5,7,6,3,8,1,2,4]=>[1,6,4,7,3,2,8,5]
[5,7,6,8,3,1,2,4]=>[1,6,7,5,3,2,8,4]
[6,8,7,5,3,1,2,4]=>[6,1,7,5,8,4,3,2]
[1,2,5,3,6,8,7,4]=>[3,8,5,7,1,2,4,6]
[6,8,7,2,1,5,3,4]=>[4,7,1,8,5,6,3,2]
[7,3,6,1,4,8,2,5]=>[2,5,7,8,4,3,1,6]
[7,8,1,6,5,3,4,2]=>[6,8,7,5,3,1,4,2]
[8,7,3,2,1,4,6,5]=>[4,3,8,5,6,7,2,1]
[8,3,5,1,7,4,2,6]=>[7,2,6,3,8,4,5,1]
[3,5,6,8,4,2,7,1]=>[2,3,6,1,5,8,7,4]
[2,8,6,3,4,1,7,5]=>[4,5,8,6,1,3,7,2]
[4,3,6,2,8,5,7,1]=>[1,6,2,3,8,4,7,5]
[1,7,2,3,5,8,6,4]=>[8,5,7,3,4,1,2,6]
[4,6,2,3,5,1,7,8]=>[3,1,4,6,5,2,7,8]
[2,8,3,7,5,1,6,4]=>[8,6,3,5,7,1,4,2]
[6,4,8,7,2,1,5,3]=>[2,5,1,8,6,7,4,3]
[1,8,2,3,7,5,6,4]=>[6,8,7,3,4,5,1,2]
[2,8,4,3,6,7,1,5]=>[3,7,4,5,8,1,6,2]
[7,3,2,5,6,1,8,4]=>[2,4,8,3,6,5,1,7]
[1,6,7,8,2,4,3,5]=>[7,5,2,6,3,8,1,4]
[4,1,2,8,5,3,7,6]=>[5,1,8,6,7,2,3,4]
[3,8,4,2,5,1,7,6]=>[4,1,3,5,8,6,7,2]
[1,8,5,6,4,3,2,7]=>[3,7,6,5,4,8,1,2]
[2,8,3,5,6,4,1,7]=>[4,7,3,6,1,5,8,2]
[4,1,5,7,6,8,2,3]=>[1,7,3,5,4,8,2,6]
[7,6,8,3,2,5,1,4]=>[5,4,7,2,1,8,6,3]
[2,7,8,1,6,4,5,3]=>[6,8,7,4,1,2,5,3]
[2,7,1,4,5,3,8,6]=>[4,5,8,1,3,6,2,7]
[1,5,2,7,4,3,6,8]=>[6,5,2,7,1,3,4,8]
[5,1,3,8,4,6,2,7]=>[5,7,3,1,6,8,2,4]
[6,5,8,7,1,3,2,4]=>[7,5,2,1,6,8,4,3]
[2,7,3,5,1,6,8,4]=>[6,3,4,8,1,5,2,7]
[5,7,6,8,2,1,4,3]=>[1,5,8,6,3,2,7,4]
[1,3,6,5,2,7,4,8]=>[7,5,2,4,1,3,6,8]
[1,2,6,5,3,4,7,8]=>[5,6,4,1,2,3,7,8]
[1,7,2,5,6,8,3,4]=>[4,7,5,8,3,1,2,6]
[1,7,2,4,8,3,5,6]=>[4,6,7,8,3,1,2,5]
[1,6,2,4,5,3,7,8]=>[4,6,3,5,1,2,7,8]
[1,3,2,8,4,5,7,6]=>[8,2,5,6,7,1,3,4]
[1,6,8,2,4,3,5,7]=>[6,4,5,2,7,8,1,3]
[1,6,7,2,5,3,4,8]=>[6,7,4,2,5,1,3,8]
[1,2,8,3,6,7,4,5]=>[7,5,8,4,6,1,2,3]
[1,7,2,5,3,4,8,6]=>[8,5,3,4,6,1,2,7]
[7,1,5,6,2,3,8,4]=>[8,5,3,6,2,4,1,7]
[1,7,5,6,2,3,8,4]=>[8,5,3,6,4,1,2,7]
[6,1,5,3,4,8,2,7]=>[4,5,3,7,1,8,2,6]
[7,8,4,1,5,6,2,3]=>[7,5,3,8,4,1,6,2]
[5,8,1,3,6,7,2,4]=>[7,4,1,5,8,3,6,2]
[1,2,5,4,8,3,6,7]=>[4,3,6,7,8,1,2,5]
[3,5,4,7,8,1,2,6]=>[3,1,2,6,7,4,8,5]
[1,6,4,7,8,2,3,5]=>[3,6,2,7,4,8,1,5]
[6,2,7,3,8,5,1,4]=>[7,8,4,2,1,3,6,5]
[1,3,7,8,5,6,2,4]=>[7,5,3,8,2,6,1,4]
[8,1,7,4,6,2,3,5]=>[6,4,7,8,5,2,3,1]
[4,5,8,7,1,2,3,6]=>[1,5,2,6,7,8,4,3]
[4,1,8,5,7,2,3,6]=>[1,6,4,7,8,5,2,3]
[2,6,5,4,1,8,3,7]=>[7,4,3,1,2,8,5,6]
[6,2,5,1,4,8,3,7]=>[5,7,2,3,1,8,4,6]
[6,5,4,1,3,8,2,7]=>[5,7,3,2,1,8,4,6]
[6,3,5,4,2,8,1,7]=>[5,2,4,3,1,7,8,6]
[1,3,8,7,4,2,6,5]=>[5,8,6,7,2,4,1,3]
[8,7,4,3,1,5,2,6]=>[7,5,4,3,6,8,2,1]
[8,2,5,1,4,6,7,3]=>[5,6,2,3,8,4,7,1]
[3,8,4,5,1,6,7,2]=>[3,6,1,4,8,5,7,2]
[8,5,4,1,3,6,7,2]=>[5,6,3,2,8,4,7,1]
[8,3,1,7,5,6,4,2]=>[5,8,2,7,6,3,4,1]
[8,4,7,6,5,3,1,2]=>[7,8,2,6,5,4,3,1]
[8,1,4,5,7,6,3,2]=>[8,3,4,7,6,2,5,1]
[2,4,1,8,5,7,6,3]=>[8,2,5,7,1,6,3,4]
[8,2,1,4,7,6,3,5]=>[7,8,2,4,6,3,5,1]
[8,3,1,7,4,2,6,5]=>[2,5,8,6,7,3,4,1]
[8,2,7,3,1,6,5,4]=>[8,4,7,2,5,6,3,1]
[1,8,4,2,3,7,6,5]=>[3,8,7,4,5,6,1,2]
[3,1,2,8,7,4,6,5]=>[8,1,6,7,5,2,3,4]
[8,5,1,2,4,3,7,6]=>[5,8,3,4,2,6,7,1]
[2,8,3,7,4,1,6,5]=>[5,8,3,6,7,1,4,2]
[8,4,5,7,6,2,3,1]=>[2,3,6,8,7,5,4,1]
[2,3,1,8,7,6,4,5]=>[7,8,6,1,2,5,3,4]
[4,2,8,7,3,1,5,6]=>[1,6,5,7,8,2,4,3]
[1,3,4,8,7,2,5,6]=>[6,7,8,2,3,5,1,4]
[8,1,3,4,6,7,2,5]=>[7,3,4,5,8,2,6,1]
[3,4,8,2,6,7,1,5]=>[7,1,2,4,5,8,6,3]
[3,6,8,2,5,1,7,4]=>[8,4,1,2,6,5,7,3]
[3,8,2,5,7,4,6,1]=>[4,6,8,1,3,7,5,2]
[8,4,2,1,7,5,6,3]=>[6,2,8,3,7,4,5,1]
[8,2,7,5,6,4,1,3]=>[7,4,8,6,2,5,3,1]
[6,2,8,5,4,1,7,3]=>[8,6,5,2,1,4,7,3]
[6,8,5,4,1,7,2,3]=>[7,1,8,5,4,3,6,2]
[2,8,1,5,7,6,3,4]=>[4,7,8,6,1,3,5,2]
[3,1,8,2,7,5,6,4]=>[6,8,1,7,4,5,2,3]
[8,5,7,1,6,4,2,3]=>[7,2,8,6,4,5,3,1]
[2,8,4,7,3,6,5,1]=>[8,3,5,7,6,1,4,2]
[8,4,7,2,1,6,5,3]=>[2,8,4,7,5,6,3,1]
[1,8,4,7,6,5,2,3]=>[7,8,3,6,5,4,1,2]
[3,5,8,1,7,4,6,2]=>[2,6,8,1,7,4,5,3]
[8,4,7,1,3,6,5,2]=>[2,8,5,7,4,6,3,1]
[2,3,4,7,6,8,1,5]=>[7,5,1,2,3,4,8,6]
[3,8,1,2,5,6,4,7]=>[1,5,7,3,4,6,8,2]
[3,7,1,2,5,6,4,8]=>[1,5,7,3,4,6,2,8]
[8,5,2,1,4,6,7,3]=>[3,5,6,2,8,4,7,1]
[4,8,1,6,5,2,7,3]=>[8,1,6,5,3,4,7,2]
[4,2,6,3,8,5,7,1]=>[1,6,3,8,2,4,7,5]
[4,5,2,6,7,1,8,3]=>[1,4,2,8,3,6,5,7]
[2,7,4,1,6,3,5,8]=>[6,3,7,1,4,5,2,8]
[8,3,5,4,2,7,1,6]=>[5,2,4,3,7,8,6,1]
[2,8,6,4,7,3,1,5]=>[4,7,6,3,8,1,5,2]
[3,1,8,6,5,2,7,4]=>[8,6,1,5,4,7,2,3]
[8,3,1,5,2,6,7,4]=>[2,6,4,8,3,5,7,1]
[3,8,2,4,1,5,7,6]=>[1,3,4,8,5,6,7,2]
[5,8,3,2,4,1,7,6]=>[4,3,1,5,8,6,7,2]
[7,2,6,8,4,3,5,1]=>[6,5,3,8,2,1,7,4]
[6,5,3,2,4,8,1,7]=>[4,3,5,2,1,7,8,6]
[5,2,4,6,1,3,8,7]=>[3,8,2,1,5,4,6,7]
[7,2,3,4,6,8,1,5]=>[7,2,3,4,5,1,8,6]
[8,3,4,6,7,5,1,2]=>[7,2,3,4,8,6,5,1]
[6,8,3,4,7,5,2,1]=>[8,3,1,4,7,6,5,2]
[5,8,6,1,3,4,7,2]=>[5,1,6,8,4,3,7,2]
[4,8,1,5,7,6,3,2]=>[8,1,4,7,6,3,5,2]
[3,7,4,6,8,2,5,1]=>[6,3,4,1,2,8,7,5]
[4,7,1,6,8,3,2,5]=>[7,1,6,4,8,3,2,5]
[4,5,2,8,1,7,3,6]=>[1,7,2,8,3,5,6,4]
[3,7,5,2,8,6,1,4]=>[7,3,8,1,4,2,6,5]
[4,8,5,2,6,7,1,3]=>[7,1,4,3,5,8,6,2]
[5,4,8,6,1,2,7,3]=>[2,1,8,5,6,4,7,3]
[8,4,6,5,2,7,3,1]=>[8,2,5,4,3,7,6,1]
[8,1,6,4,7,5,2,3]=>[4,7,3,8,6,2,5,1]
[5,2,7,6,4,8,1,3]=>[1,7,5,4,2,3,8,6]
[8,6,2,3,5,1,7,4]=>[8,3,4,6,5,2,7,1]
[8,2,5,7,4,1,3,6]=>[6,3,7,2,5,8,4,1]
[7,2,4,5,6,8,1,3]=>[3,4,7,2,5,1,8,6]
[7,1,3,5,6,2,8,4]=>[4,8,3,6,2,5,1,7]
[7,1,5,8,4,6,3,2]=>[3,5,8,7,6,2,1,4]
[6,3,8,4,7,1,5,2]=>[4,8,2,1,6,7,5,3]
[7,1,4,3,2,8,5,6]=>[4,3,7,8,2,5,1,6]
[5,3,6,1,4,2,8,7]=>[2,5,1,8,4,3,6,7]
[5,7,2,1,4,3,8,6]=>[3,5,1,8,4,6,2,7]
[7,1,8,3,5,2,4,6]=>[4,6,7,5,8,2,1,3]
[7,2,4,8,1,5,6,3]=>[3,6,8,2,5,1,7,4]
[7,1,8,4,2,5,6,3]=>[6,4,8,5,7,2,1,3]
[6,4,2,5,8,1,7,3]=>[4,2,8,3,1,6,7,5]
[2,1,7,5,8,3,6,4]=>[4,8,6,1,3,7,2,5]
[7,3,8,5,6,2,1,4]=>[7,6,2,4,1,8,5,3]
[2,7,4,8,1,5,6,3]=>[3,6,8,5,1,2,7,4]
[7,4,8,3,1,5,6,2]=>[2,6,4,8,5,1,7,3]
[6,1,5,8,3,7,4,2]=>[3,8,5,1,7,6,2,4]
[2,6,3,5,8,7,4,1]=>[8,4,2,7,1,3,6,5]
[8,6,5,3,7,2,1,4]=>[4,7,6,3,2,8,5,1]
[4,8,5,3,7,2,1,6]=>[4,1,3,7,6,8,5,2]
[7,4,8,6,5,3,2,1]=>[8,7,2,1,6,5,4,3]
[7,4,8,5,6,3,1,2]=>[7,2,4,1,8,6,5,3]
[7,8,4,1,3,5,6,2]=>[5,6,3,8,4,1,7,2]
[7,8,3,4,1,5,6,2]=>[3,6,4,8,5,1,7,2]
[7,3,1,8,2,5,6,4]=>[2,6,8,5,7,3,1,4]
[7,2,3,8,1,5,6,4]=>[6,8,2,3,5,1,7,4]
[6,4,8,7,3,2,1,5]=>[7,2,1,6,5,8,4,3]
[2,7,4,8,6,3,1,5]=>[7,3,6,2,8,1,5,4]
[6,4,8,2,3,1,7,5]=>[4,2,5,1,8,6,7,3]
[7,2,1,8,3,5,6,4]=>[6,8,2,5,7,3,1,4]
[5,1,6,3,8,2,4,7]=>[4,6,3,1,7,8,2,5]
[3,6,5,1,4,8,7,2]=>[8,5,1,3,2,7,4,6]
[7,3,6,2,8,4,1,5]=>[7,2,4,6,3,1,8,5]
[6,5,1,8,4,7,2,3]=>[7,5,2,1,8,6,3,4]
[7,5,4,8,1,6,2,3]=>[7,3,2,8,5,1,6,4]
[4,3,5,8,7,1,2,6]=>[2,1,3,6,7,8,5,4]
[3,5,6,8,1,4,2,7]=>[2,7,1,5,3,6,8,4]
[4,3,5,8,2,1,6,7]=>[2,1,3,6,5,7,8,4]
[6,4,7,2,3,1,5,8]=>[4,2,6,5,1,7,3,8]
[6,8,1,5,4,2,7,3]=>[8,6,5,3,1,4,7,2]
[7,8,6,3,1,4,2,5]=>[7,5,4,6,1,8,3,2]
[7,8,6,3,5,1,2,4]=>[6,4,7,1,8,5,3,2]
[7,2,8,5,4,6,3,1]=>[5,4,8,7,2,1,6,3]
[6,1,8,4,7,2,3,5]=>[6,4,7,1,8,5,2,3]
[5,6,4,3,7,1,8,2]=>[1,4,3,2,8,6,5,7]
[6,5,3,7,2,4,8,1]=>[3,5,2,1,6,4,8,7]
[5,6,2,8,4,3,7,1]=>[1,6,5,2,8,3,7,4]
[4,1,2,6,8,3,7,5]=>[4,1,8,6,7,2,3,5]
[7,1,3,6,5,8,4,2]=>[5,4,8,3,7,2,1,6]
[5,7,4,3,6,8,2,1]=>[1,4,3,5,2,8,7,6]
[5,1,2,4,6,7,8,3]=>[4,5,6,1,8,2,3,7]
[4,6,3,5,2,8,7,1]=>[1,3,4,2,8,5,7,6]
[5,6,3,4,8,2,7,1]=>[3,1,4,2,6,8,7,5]
[5,8,4,6,3,2,7,1]=>[1,3,6,5,4,8,7,2]
[5,4,3,8,6,2,7,1]=>[2,1,6,3,5,8,7,4]
[5,7,8,2,4,3,6,1]=>[1,6,4,5,2,8,7,3]
[5,6,2,4,8,3,7,1]=>[4,1,6,2,8,3,7,5]
[6,4,7,8,2,3,5,1]=>[2,5,1,6,3,8,7,4]
[3,7,5,2,4,8,1,6]=>[4,5,1,3,7,2,8,6]
[4,7,5,2,3,8,6,1]=>[8,1,4,3,5,2,7,6]
[6,4,7,3,2,5,8,1]=>[2,5,4,1,6,3,8,7]
[5,7,3,2,8,4,6,1]=>[3,1,6,8,4,2,7,5]
[5,3,7,2,8,4,6,1]=>[6,1,8,2,4,3,7,5]
[4,3,7,2,5,8,6,1]=>[1,8,2,4,5,3,7,6]
[4,7,3,2,5,8,6,1]=>[1,3,8,4,5,2,7,6]
[4,7,3,2,6,8,5,1]=>[1,3,5,8,4,2,7,6]
[7,5,3,2,6,4,8,1]=>[3,6,4,2,5,1,8,7]
[8,5,2,6,7,3,4,1]=>[6,4,2,8,3,7,5,1]
[8,4,2,6,3,7,5,1]=>[2,8,5,3,4,7,6,1]
[7,4,6,2,3,8,5,1]=>[2,8,4,5,3,1,7,6]
[7,5,6,2,8,3,4,1]=>[6,2,8,4,3,1,7,5]
[5,7,6,2,8,3,4,1]=>[1,6,8,4,3,2,7,5]
[4,7,6,2,3,8,5,1]=>[8,1,4,5,3,2,7,6]
[7,6,3,2,5,8,1,4]=>[3,7,4,5,2,1,8,6]
[7,6,4,2,5,8,3,1]=>[5,3,8,4,2,1,7,6]
[6,3,8,5,4,7,2,1]=>[5,4,1,8,2,7,6,3]
[2,4,6,3,8,7,5,1]=>[3,8,2,7,1,4,6,5]
[2,4,6,1,8,7,3,5]=>[7,2,3,8,1,6,4,5]
[2,4,3,6,8,7,1,5]=>[2,4,7,8,1,3,6,5]
[2,4,6,3,8,7,1,5]=>[7,2,3,8,1,4,6,5]
[2,4,6,5,8,7,1,3]=>[4,2,3,7,8,1,6,5]
[2,4,6,8,5,7,3,1]=>[3,5,8,2,7,1,6,4]
[2,4,6,8,5,7,1,3]=>[3,7,2,5,8,1,6,4]
[2,4,6,8,3,7,1,5]=>[5,2,3,7,8,1,6,4]
[2,4,6,8,1,7,3,5]=>[7,2,3,8,1,5,6,4]
[2,4,6,5,1,8,7,3]=>[4,2,3,8,1,7,5,6]
[2,4,6,5,8,3,7,1]=>[4,2,3,6,8,1,7,5]
[2,4,6,5,8,1,7,3]=>[4,2,3,8,1,6,7,5]
[2,4,6,8,5,1,7,3]=>[3,8,2,6,1,5,7,4]
[2,4,6,8,7,3,5,1]=>[3,6,8,2,7,1,5,4]
[2,4,6,8,7,1,5,3]=>[3,8,2,6,7,1,5,4]
[2,4,6,8,7,1,3,5]=>[6,2,3,7,8,1,5,4]
[2,4,6,8,5,1,3,7]=>[6,2,3,7,1,5,8,4]
[2,4,6,5,1,8,3,7]=>[7,2,4,1,3,8,5,6]
[2,4,6,5,1,3,8,7]=>[8,2,5,1,4,3,6,7]
[2,4,6,5,3,8,1,7]=>[5,2,4,1,3,7,8,6]
[2,4,6,5,8,3,1,7]=>[4,2,3,7,1,6,8,5]
[2,4,6,8,5,3,1,7]=>[3,7,2,6,1,5,8,4]
[2,4,6,8,7,3,1,5]=>[3,7,2,6,8,1,5,4]
[2,4,6,8,7,5,1,3]=>[3,7,8,2,6,1,5,4]
[4,8,7,5,2,1,3,6]=>[6,1,5,7,4,8,3,2]
[6,1,4,7,5,8,2,3]=>[7,3,5,4,1,8,2,6]
[1,8,6,5,3,2,7,4]=>[5,8,6,4,3,7,1,2]
[1,6,3,5,8,2,4,7]=>[6,3,4,2,7,8,1,5]
[4,6,1,7,8,5,3,2]=>[4,1,2,8,7,6,3,5]
[6,1,2,7,8,4,5,3]=>[6,4,8,7,2,1,3,5]
[6,1,3,2,7,8,5,4]=>[5,8,3,7,2,1,4,6]
[5,6,3,1,7,4,8,2]=>[3,1,6,5,2,8,4,7]
[4,8,3,7,1,6,5,2]=>[8,1,3,7,5,6,4,2]
[8,7,2,6,5,1,4,3]=>[8,6,7,3,5,4,2,1]
[5,8,3,2,1,7,6,4]=>[3,1,8,4,7,5,6,2]
[5,4,3,8,1,7,6,2]=>[2,1,8,3,7,5,6,4]
[6,5,3,8,7,1,4,2]=>[8,3,2,1,6,7,5,4]
[4,3,8,2,7,6,5,1]=>[8,1,7,2,4,6,5,3]
[4,8,2,7,6,5,3,1]=>[8,7,1,6,3,5,4,2]
[7,8,2,6,5,4,1,3]=>[7,8,6,3,1,5,4,2]
[3,8,7,6,2,5,1,4]=>[5,7,8,6,1,4,3,2]
[4,8,3,7,2,1,6,5]=>[1,3,5,8,6,7,4,2]
[8,6,3,1,7,5,4,2]=>[8,3,7,6,4,2,5,1]
[8,6,3,7,1,5,4,2]=>[8,3,7,5,2,6,4,1]
[4,8,3,7,6,2,5,1]=>[6,8,1,3,7,5,4,2]
[5,8,2,7,6,4,1,3]=>[1,7,8,6,3,5,4,2]
[8,4,2,1,7,6,5,3]=>[2,8,7,3,6,4,5,1]
[1,6,4,2,5,3,7,8]=>[6,4,3,5,1,2,7,8]
[1,8,6,2,7,3,4,5]=>[6,7,8,4,3,5,1,2]
[1,6,3,2,4,5,7,8]=>[4,3,5,6,1,2,7,8]
[1,5,2,6,4,3,7,8]=>[6,5,3,1,2,4,7,8]
[1,5,2,4,6,3,7,8]=>[4,6,3,1,2,5,7,8]
[1,8,6,2,3,7,4,5]=>[7,8,4,5,3,6,1,2]
[1,5,2,8,6,3,4,7]=>[6,2,7,5,8,1,3,4]
[1,3,6,8,2,7,4,5]=>[7,3,8,2,5,6,1,4]
[1,4,3,8,2,5,6,7]=>[3,2,5,6,7,8,1,4]
[1,7,2,3,8,5,4,6]=>[7,6,8,3,4,1,2,5]
[1,3,8,4,2,5,6,7]=>[5,2,4,6,7,8,1,3]
[1,6,2,8,5,4,3,7]=>[7,6,5,2,8,1,3,4]
[1,7,2,3,8,6,4,5]=>[7,8,6,3,4,1,2,5]
[1,5,3,8,2,7,4,6]=>[7,2,8,3,5,6,1,4]
[1,4,8,2,5,6,3,7]=>[2,5,7,4,6,8,1,3]
[1,5,7,3,2,8,4,6]=>[4,2,7,8,5,1,3,6]
[1,2,7,3,6,8,4,5]=>[7,5,8,4,1,2,3,6]
[1,7,2,3,6,8,4,5]=>[7,5,8,3,4,1,2,6]
[1,4,8,3,2,5,6,7]=>[2,5,4,6,7,8,1,3]
[1,7,2,5,8,3,4,6]=>[6,4,7,8,3,1,2,5]
[6,2,3,5,8,1,7,4]=>[4,8,2,3,1,6,7,5]
[5,2,4,8,1,6,7,3]=>[3,6,1,8,2,5,7,4]
[2,6,4,5,7,3,1,8]=>[3,4,2,7,1,6,5,8]
[2,5,6,3,4,7,1,8]=>[4,2,5,1,3,7,6,8]
[1,3,7,5,6,8,4,2]=>[4,5,3,8,2,7,1,6]
[1,3,6,7,4,5,8,2]=>[5,3,6,2,4,8,1,7]
[1,5,6,3,4,2,7,8]=>[4,2,6,5,1,3,7,8]
[1,5,6,3,4,7,2,8]=>[4,2,5,3,7,1,6,8]
[1,5,3,6,4,2,7,8]=>[6,3,2,5,1,4,7,8]
[1,7,5,6,8,3,4,2]=>[3,6,4,2,8,7,1,5]
[1,7,5,6,3,8,4,2]=>[3,8,5,4,2,7,1,6]
[1,3,7,5,2,8,6,4]=>[4,8,7,2,5,1,3,6]
[1,3,7,2,5,8,6,4]=>[8,5,7,2,4,1,3,6]
[1,5,3,7,4,6,2,8]=>[5,2,7,3,6,1,4,8]
[1,5,3,7,6,4,2,8]=>[2,7,6,3,5,1,4,8]
[1,5,3,6,7,4,2,8]=>[4,2,7,3,6,1,5,8]
[1,5,6,3,7,4,2,8]=>[2,7,4,3,6,1,5,8]
[1,5,7,6,3,4,8,2]=>[2,5,6,4,3,8,1,7]
[1,5,7,3,6,4,8,2]=>[2,6,4,5,3,8,1,7]
[1,3,7,2,5,6,8,4]=>[5,6,8,2,4,1,3,7]
[1,3,7,5,6,2,8,4]=>[4,8,6,2,5,1,3,7]
[2,5,7,4,1,3,8,6]=>[2,8,5,1,4,6,3,7]
[6,7,3,1,8,5,2,4]=>[3,7,1,8,6,4,2,5]
[6,3,1,5,8,7,2,4]=>[2,4,7,1,8,6,3,5]
[8,3,5,1,7,6,2,4]=>[7,2,3,8,6,4,5,1]
[4,6,3,5,8,2,1,7]=>[1,3,4,2,7,6,8,5]
[7,2,4,8,6,3,1,5]=>[7,3,6,8,2,1,5,4]
[2,3,6,4,1,8,7,5]=>[8,4,1,2,3,7,5,6]
[7,4,5,2,1,8,6,3]=>[2,8,4,3,7,5,1,6]
[4,7,5,2,1,8,6,3]=>[8,1,4,3,7,5,2,6]
[8,5,3,6,2,1,7,4]=>[3,5,2,8,6,4,7,1]
[4,5,7,3,1,2,8,6]=>[1,2,8,5,4,6,3,7]
[4,5,1,8,3,2,7,6]=>[1,5,2,8,6,7,3,4]
[5,7,4,6,3,2,1,8]=>[1,3,7,6,5,4,2,8]
[3,6,1,2,4,8,7,5]=>[8,1,7,3,4,2,5,6]
[2,5,3,8,4,1,7,6]=>[5,2,8,1,3,6,7,4]
[8,6,2,3,1,7,5,4]=>[8,3,4,7,5,2,6,1]
[7,5,2,3,1,8,6,4]=>[8,3,4,2,7,5,1,6]
[6,3,1,2,4,8,7,5]=>[2,8,7,3,4,1,5,6]
[4,7,5,2,3,6,1,8]=>[1,4,5,3,7,6,2,8]
[3,6,8,4,5,1,2,7]=>[6,4,1,2,7,5,8,3]
[5,2,3,7,6,4,1,8]=>[7,6,2,1,3,5,4,8]
[6,2,7,3,5,4,1,8]=>[7,4,6,2,1,5,3,8]
[7,2,6,5,3,4,1,8]=>[5,7,6,2,4,3,1,8]
[8,2,6,5,4,1,3,7]=>[6,7,5,2,4,3,8,1]
[6,2,8,4,5,1,3,7]=>[6,4,7,2,1,5,8,3]
[2,3,1,7,8,5,6,4]=>[6,4,8,1,2,7,3,5]
[7,2,8,5,1,4,3,6]=>[7,5,6,2,4,1,8,3]
[8,6,7,1,4,2,3,5]=>[6,7,4,5,2,8,3,1]
[6,8,7,1,4,3,2,5]=>[7,6,4,1,5,8,3,2]
[6,8,2,5,3,1,4,7]=>[6,3,5,1,7,4,8,2]
[3,7,8,5,1,4,2,6]=>[7,5,6,1,4,2,8,3]
[4,8,7,3,1,2,5,6]=>[1,5,6,4,7,8,3,2]
[4,8,6,2,3,1,5,7]=>[1,4,6,5,7,3,8,2]
[3,8,5,4,2,1,6,7]=>[6,5,1,4,3,7,8,2]
[4,5,3,8,2,1,6,7]=>[1,3,2,6,5,7,8,4]
[3,7,4,1,8,2,6,5]=>[3,8,1,6,7,4,2,5]
[3,8,4,1,7,6,2,5]=>[3,7,8,1,6,4,5,2]
[3,7,2,1,8,4,6,5]=>[8,1,3,6,7,4,2,5]
[8,7,1,6,5,2,3,4]=>[6,7,8,5,3,4,2,1]
[8,5,1,2,7,6,3,4]=>[7,8,6,3,2,4,5,1]
[3,8,2,1,7,6,4,5]=>[7,8,1,3,6,4,5,2]
[3,5,7,8,2,4,6,1]=>[2,5,6,1,3,8,7,4]
[7,8,2,5,4,3,6,1]=>[6,5,3,4,1,8,7,2]
[4,5,3,7,8,2,6,1]=>[1,2,6,3,4,8,7,5]
[1,5,4,7,3,6,2,8]=>[3,2,5,7,6,1,4,8]
[1,7,3,6,8,4,5,2]=>[6,4,8,3,2,7,1,5]
[4,6,8,2,7,3,5,1]=>[6,1,2,8,4,7,5,3]
[4,7,6,3,5,1,8,2]=>[4,8,1,6,5,3,2,7]
[7,8,3,6,1,5,4,2]=>[8,3,7,5,1,6,4,2]
[2,5,7,8,4,6,1,3]=>[7,2,5,3,8,1,6,4]
[3,7,5,6,2,1,4,8]=>[6,5,1,3,7,4,2,8]
[6,2,1,7,4,5,3,8]=>[5,7,2,6,3,1,4,8]
[1,2,6,4,7,5,3,8]=>[7,4,3,6,1,2,5,8]
[7,5,6,3,8,4,2,1]=>[2,8,4,3,1,7,6,5]
[8,5,4,2,1,6,7,3]=>[4,6,3,2,8,5,7,1]
[2,6,8,4,7,5,1,3]=>[4,2,7,8,6,1,5,3]
[6,7,5,1,4,8,3,2]=>[5,1,8,7,4,3,2,6]
[7,4,1,6,5,3,8,2]=>[2,6,5,4,8,3,1,7]
[5,8,2,7,3,6,4,1]=>[1,8,5,7,3,6,4,2]
[1,6,5,7,3,8,4,2]=>[3,2,8,5,4,7,1,6]
[1,5,6,8,4,2,7,3]=>[2,3,8,6,5,7,1,4]
[7,5,4,1,8,2,6,3]=>[8,6,3,2,7,4,1,5]
[6,4,1,8,2,7,5,3]=>[2,8,7,5,1,6,3,4]
[7,8,5,3,2,6,1,4]=>[5,4,7,3,1,8,6,2]
[8,2,5,1,7,6,4,3]=>[3,8,7,2,6,4,5,1]
[6,7,4,3,8,2,5,1]=>[4,3,1,6,2,8,7,5]
[3,4,2,7,8,6,1,5]=>[7,1,2,4,8,3,6,5]
[7,8,6,1,4,3,2,5]=>[7,6,4,5,1,8,3,2]
[2,4,7,8,6,1,3,5]=>[6,7,2,3,8,1,5,4]
[3,7,8,6,5,2,4,1]=>[6,2,8,7,1,5,4,3]
[4,5,2,7,8,6,3,1]=>[1,2,4,8,7,3,6,5]
[4,6,2,5,3,1,7,8]=>[1,6,3,5,4,2,7,8]
[4,1,5,6,3,2,7,8]=>[3,1,6,5,2,4,7,8]
[2,6,7,5,4,1,3,8]=>[6,2,7,5,1,4,3,8]
[4,1,6,7,5,3,2,8]=>[1,3,7,6,5,2,4,8]
[6,7,4,3,1,5,2,8]=>[7,5,4,3,1,6,2,8]
[1,7,5,6,4,3,2,8]=>[3,7,6,5,4,1,2,8]
[7,6,5,3,1,8,4,2]=>[4,8,7,5,3,2,1,6]
[7,8,6,4,3,1,5,2]=>[8,6,5,4,1,7,3,2]
[4,1,7,8,6,5,3,2]=>[3,8,1,7,6,5,2,4]
[4,5,7,3,8,6,1,2]=>[1,2,4,7,3,8,6,5]
[6,8,5,3,7,2,1,4]=>[4,1,7,6,3,8,5,2]
[4,7,1,5,8,2,6,3]=>[1,4,8,6,7,3,2,5]
[3,7,6,2,1,8,4,5]=>[4,7,8,1,5,3,2,6]
[2,7,5,8,3,6,4,1]=>[3,8,5,2,7,1,6,4]
[7,4,8,2,6,5,3,1]=>[8,2,7,4,1,6,5,3]
[7,5,4,8,2,6,3,1]=>[3,2,8,5,1,7,6,4]
[4,3,8,1,6,5,2,7]=>[1,7,2,6,4,5,8,3]
[2,3,6,5,7,8,1,4]=>[4,3,7,1,2,5,8,6]
[8,3,4,1,2,6,7,5]=>[2,6,3,8,4,5,7,1]
[7,3,4,8,5,2,1,6]=>[7,2,3,6,5,1,8,4]
[7,3,8,4,1,5,6,2]=>[6,2,4,8,5,1,7,3]
[7,2,4,5,1,8,3,6]=>[3,7,2,4,8,5,1,6]
[7,3,1,2,8,5,6,4]=>[2,6,8,7,3,4,1,5]
[4,8,2,3,5,7,6,1]=>[1,8,3,4,5,7,6,2]
[4,5,2,3,8,6,7,1]=>[1,6,2,8,3,4,7,5]
[6,7,4,8,5,3,2,1]=>[1,8,3,2,7,6,5,4]
[4,3,5,6,1,7,8,2]=>[2,1,3,6,4,8,5,7]
[3,5,2,6,4,7,8,1]=>[5,1,3,2,4,6,8,7]
[4,1,2,8,5,7,6,3]=>[1,8,5,7,6,2,3,4]
[3,1,5,6,4,7,8,2]=>[1,3,5,4,6,8,2,7]
[3,1,4,6,7,5,8,2]=>[1,4,6,3,5,8,2,7]
[2,6,4,5,8,1,3,7]=>[3,6,4,1,2,7,8,5]
[6,4,1,3,5,8,2,7]=>[4,5,2,7,1,8,3,6]
[3,4,1,7,2,6,8,5]=>[1,2,6,8,5,3,4,7]
[2,4,7,5,8,1,3,6]=>[6,2,4,7,1,3,8,5]
[3,1,6,4,8,7,5,2]=>[3,8,1,7,4,6,2,5]
[3,7,6,2,1,5,8,4]=>[4,6,8,1,5,3,2,7]
[4,2,6,1,3,7,8,5]=>[6,1,8,2,4,3,5,7]
[8,5,4,2,7,6,3,1]=>[3,2,8,7,4,6,5,1]
[2,8,4,6,7,1,3,5]=>[3,6,7,4,8,1,5,2]
[5,8,2,1,4,6,7,3]=>[3,5,1,6,8,4,7,2]
[8,4,6,1,2,5,7,3]=>[6,2,8,4,5,3,7,1]
[3,7,8,4,2,6,5,1]=>[4,8,5,1,2,7,6,3]
[5,6,2,8,7,1,3,4]=>[6,1,7,2,8,3,5,4]
[7,1,3,8,4,5,6,2]=>[5,6,8,3,7,2,1,4]
[7,8,1,4,3,5,6,2]=>[5,4,6,8,3,1,7,2]
[3,6,7,2,8,1,5,4]=>[8,4,1,2,6,3,7,5]
[2,6,7,1,3,5,8,4]=>[6,8,4,1,2,5,3,7]
[3,6,7,1,8,2,5,4]=>[8,6,1,2,7,4,3,5]
[3,4,1,8,7,2,6,5]=>[8,1,2,6,7,5,3,4]
[3,1,5,7,2,8,6,4]=>[8,1,3,7,5,2,4,6]
[3,8,1,4,7,2,6,5]=>[8,1,4,6,7,3,5,2]
[4,8,1,3,2,7,6,5]=>[1,8,4,7,3,5,6,2]
[4,1,8,3,2,7,6,5]=>[1,8,4,7,5,6,2,3]
[4,3,8,1,2,7,6,5]=>[1,8,2,7,4,5,6,3]
[4,3,8,2,1,7,6,5]=>[1,8,2,4,7,5,6,3]
[3,8,4,2,7,1,6,5]=>[3,8,1,4,6,7,5,2]
[2,8,4,3,7,6,1,5]=>[3,7,8,4,6,1,5,2]
[3,8,2,4,7,1,6,5]=>[8,1,3,4,6,7,5,2]
[3,2,4,8,7,1,6,5]=>[8,1,6,7,2,3,5,4]
[3,2,5,7,1,8,6,4]=>[8,1,3,7,2,5,4,6]
[4,2,8,3,1,7,6,5]=>[1,8,4,7,2,5,6,3]
[4,8,2,1,3,7,6,5]=>[1,8,3,7,4,5,6,2]
[4,2,8,1,3,7,6,5]=>[1,8,7,2,4,5,6,3]
[2,3,4,6,8,7,1,5]=>[4,7,8,1,2,3,6,5]
[5,6,4,7,1,2,8,3]=>[1,8,5,3,2,6,4,7]
[4,6,7,5,8,2,3,1]=>[2,6,1,4,3,8,7,5]
[4,5,7,1,6,8,3,2]=>[1,2,5,8,7,4,3,6]
[3,2,7,6,8,1,4,5]=>[6,7,1,4,2,3,8,5]
[4,5,1,7,6,8,2,3]=>[1,2,7,5,4,8,3,6]
[6,7,2,8,3,1,4,5]=>[6,3,5,1,7,2,8,4]
[7,6,3,1,2,8,4,5]=>[7,3,8,4,5,2,1,6]
[6,2,7,8,4,1,3,5]=>[6,7,5,2,1,3,8,4]
[6,3,7,8,4,1,2,5]=>[6,7,2,1,5,3,8,4]
[7,8,5,2,4,1,3,6]=>[4,6,7,5,3,1,8,2]
[7,6,2,3,1,8,4,5]=>[3,4,7,8,5,2,1,6]
[4,2,5,1,3,7,8,6]=>[6,2,1,3,8,4,5,7]
[3,5,1,4,2,7,8,6]=>[1,4,6,2,8,3,5,7]
[3,4,1,7,8,5,2,6]=>[7,1,2,6,4,8,3,5]
[4,1,3,7,8,5,2,6]=>[1,7,6,3,4,8,2,5]
[4,3,1,8,5,2,7,6]=>[2,1,5,8,6,7,3,4]
[3,1,8,5,4,2,7,6]=>[5,1,4,8,6,7,2,3]
[7,6,3,5,8,4,2,1]=>[4,8,3,2,1,7,6,5]
[4,5,1,3,2,7,8,6]=>[4,1,6,2,8,3,5,7]
[5,1,3,2,4,7,8,6]=>[3,6,8,2,1,4,5,7]
[2,3,7,8,5,4,1,6]=>[7,6,5,1,2,3,8,4]
[8,3,5,6,1,7,2,4]=>[7,2,3,8,5,4,6,1]
[4,5,8,1,2,6,7,3]=>[1,6,2,8,4,5,7,3]
[1,3,4,8,6,2,7,5]=>[8,6,2,3,5,7,1,4]
[7,2,4,1,3,8,5,6]=>[7,2,3,8,4,5,1,6]
[3,8,2,5,4,1,6,7]=>[6,1,3,5,4,7,8,2]
[8,4,5,2,6,1,7,3]=>[2,8,4,3,6,5,7,1]
[4,6,8,2,3,7,5,1]=>[8,1,4,2,5,7,6,3]
[4,5,7,2,3,6,1,8]=>[1,4,2,5,7,6,3,8]
[2,7,3,4,1,5,6,8]=>[3,5,1,4,6,7,2,8]
[6,7,2,3,4,8,1,5]=>[3,4,5,1,7,2,8,6]
[3,5,2,4,6,7,8,1]=>[1,3,4,2,5,6,8,7]
[4,2,6,3,5,7,8,1]=>[4,1,5,2,3,6,8,7]
[1,4,8,5,6,2,7,3]=>[4,8,2,6,5,7,1,3]
[2,4,8,5,6,1,7,3]=>[4,8,2,6,1,5,7,3]
[6,3,5,8,4,7,1,2]=>[3,7,2,1,5,8,6,4]
[2,8,7,4,5,1,6,3]=>[4,8,6,5,7,1,3,2]
[1,3,8,5,2,6,7,4]=>[6,4,8,2,5,7,1,3]
[7,2,8,4,5,1,6,3]=>[4,8,6,2,5,1,7,3]
[6,2,3,5,1,7,8,4]=>[6,2,3,4,1,8,5,7]
[8,6,2,4,1,5,7,3]=>[6,3,4,8,5,2,7,1]
[1,6,4,3,2,7,8,5]=>[4,3,6,2,8,1,5,7]
[8,5,3,2,1,6,7,4]=>[4,3,6,2,8,5,7,1]
[1,7,5,2,3,6,8,4]=>[6,8,4,3,5,1,2,7]
[7,1,5,2,3,6,8,4]=>[6,8,4,2,3,5,1,7]
[8,1,2,5,3,6,7,4]=>[6,4,8,2,3,5,7,1]
[8,4,1,6,3,7,2,5]=>[5,2,7,4,8,3,6,1]
[6,7,5,3,8,2,1,4]=>[4,1,7,6,3,2,8,5]
[5,2,6,8,3,7,1,4]=>[5,3,1,7,8,2,6,4]
[4,2,5,8,6,7,1,3]=>[1,7,3,5,8,2,6,4]
[5,8,6,3,4,1,7,2]=>[1,4,8,6,5,3,7,2]
[3,7,2,4,1,8,6,5]=>[8,1,3,4,7,5,2,6]
[2,4,7,8,5,1,3,6]=>[6,7,2,5,1,3,8,4]
[2,5,3,8,4,1,6,7]=>[6,3,1,2,5,7,8,4]
[5,7,6,8,1,3,4,2]=>[1,6,8,5,3,2,7,4]
[3,1,7,4,5,6,2,8]=>[1,4,5,7,6,2,3,8]
[2,4,8,3,5,7,1,6]=>[2,4,5,7,8,1,6,3]
[8,1,7,2,4,3,5,6]=>[6,4,5,7,8,2,3,1]
[1,3,8,2,4,7,5,6]=>[7,8,2,4,5,6,1,3]
[1,3,7,2,4,6,5,8]=>[7,2,4,5,6,1,3,8]
[1,7,3,2,4,6,5,8]=>[3,7,4,5,6,1,2,8]
[1,8,3,7,4,2,5,6]=>[6,3,5,7,8,4,1,2]
[8,7,3,1,4,2,5,6]=>[6,4,3,5,7,8,2,1]
[2,8,4,3,5,7,1,6]=>[4,3,5,7,8,1,6,2]
[3,2,8,7,4,1,5,6]=>[6,1,5,7,8,2,4,3]
[3,2,1,7,4,6,5,8]=>[1,7,2,5,6,3,4,8]
[3,2,6,5,1,7,8,4]=>[6,1,4,2,3,8,5,7]
[5,3,2,6,7,1,8,4]=>[2,4,1,8,3,6,5,7]
[3,2,8,6,7,4,1,5]=>[7,6,1,4,8,2,5,3]
[8,4,6,2,7,3,1,5]=>[2,7,4,6,3,8,5,1]
[4,3,8,6,7,2,1,5]=>[7,1,6,2,4,8,5,3]
[4,3,6,2,8,7,1,5]=>[1,7,2,3,8,4,6,5]
[3,8,4,7,6,5,1,2]=>[7,8,3,6,1,5,4,2]
[7,8,4,2,6,3,5,1]=>[6,3,8,4,1,7,5,2]
[3,2,7,8,6,4,5,1]=>[6,3,8,1,7,2,5,4]
[3,2,7,5,6,8,4,1]=>[4,5,1,3,8,2,7,6]
[5,7,8,6,3,2,4,1]=>[6,1,5,2,8,7,4,3]
[6,5,4,2,1,7,8,3]=>[4,6,3,2,1,8,5,7]
[5,4,2,1,7,6,3,8]=>[7,3,2,1,6,4,5,8]
[4,1,6,5,2,7,8,3]=>[1,6,4,3,8,2,5,7]
[5,4,1,6,7,2,8,3]=>[4,2,1,8,6,3,5,7]
[6,8,5,3,1,7,2,4]=>[7,4,1,8,5,3,6,2]
[5,2,6,3,8,7,1,4]=>[7,3,1,8,2,4,6,5]
[8,6,1,7,3,4,2,5]=>[5,7,6,8,3,2,4,1]
[1,8,3,6,7,4,2,5]=>[7,6,3,4,8,5,1,2]
[1,6,3,5,2,7,8,4]=>[6,3,4,2,8,1,5,7]
[1,5,7,3,2,6,4,8]=>[4,2,7,5,6,1,3,8]
[5,1,3,7,2,6,4,8]=>[7,3,5,1,6,2,4,8]
[8,1,6,7,2,4,3,5]=>[7,5,6,3,8,2,4,1]
[6,1,4,8,2,7,3,5]=>[3,7,8,5,1,6,2,4]
[6,2,4,8,3,7,1,5]=>[3,5,7,1,8,2,6,4]
[8,7,2,6,3,5,1,4]=>[5,7,8,3,6,4,2,1]
[8,1,7,6,5,2,3,4]=>[6,7,8,5,4,2,3,1]
[7,1,5,6,8,2,4,3]=>[3,8,6,4,7,2,1,5]
[6,7,1,5,2,4,8,3]=>[6,8,5,3,1,4,2,7]
[7,6,1,5,2,4,3,8]=>[7,5,6,3,4,2,1,8]
[7,1,6,3,5,4,2,8]=>[7,4,6,5,2,3,1,8]
[1,6,7,3,5,4,8,2]=>[6,4,2,5,3,8,1,7]
[1,7,3,5,6,8,4,2]=>[4,5,8,3,2,7,1,6]
[1,7,8,3,6,4,5,2]=>[6,8,4,2,7,5,1,3]
[1,8,7,6,4,5,2,3]=>[7,5,8,6,4,3,1,2]
[8,2,7,4,6,5,1,3]=>[4,7,8,6,2,5,3,1]
[2,8,5,7,6,4,1,3]=>[3,7,8,6,5,1,4,2]
[7,4,5,1,6,8,3,2]=>[2,5,3,8,7,4,1,6]
[4,1,7,5,6,8,3,2]=>[1,4,5,3,8,7,2,6]
[5,6,7,4,3,1,8,2]=>[1,2,8,6,5,4,3,7]
[6,7,8,5,3,1,4,2]=>[1,8,6,5,2,7,4,3]
[1,4,6,2,5,3,7,8]=>[2,6,4,5,1,3,7,8]
[1,6,3,2,5,4,7,8]=>[3,6,4,5,1,2,7,8]
[1,6,8,2,5,4,7,3]=>[6,5,2,8,4,7,1,3]
[1,5,4,2,6,3,7,8]=>[6,4,3,1,2,5,7,8]
[1,2,6,4,3,5,7,8]=>[5,4,6,1,2,3,7,8]
[1,6,8,2,7,5,4,3]=>[2,8,7,6,4,5,1,3]
[1,7,4,3,2,6,8,5]=>[4,3,6,8,5,1,2,7]
[1,5,4,7,2,6,8,3]=>[3,2,6,8,5,1,4,7]
[1,3,7,6,2,8,5,4]=>[8,7,5,2,4,1,3,6]
[1,7,6,2,8,4,3,5]=>[7,6,8,4,3,1,2,5]
[1,5,2,8,4,3,7,6]=>[5,2,8,6,7,1,3,4]
[1,2,8,4,3,6,5,7]=>[4,7,5,6,8,1,2,3]
[1,2,8,5,6,3,4,7]=>[6,4,7,5,8,1,2,3]
[1,7,3,5,2,8,6,4]=>[4,8,3,7,5,1,2,6]
[1,6,7,2,5,8,4,3]=>[5,2,8,7,4,1,3,6]
[1,5,8,3,2,7,4,6]=>[4,2,7,8,5,6,1,3]
[1,4,5,8,2,6,3,7]=>[2,3,7,5,6,8,1,4]
[1,7,6,4,8,2,5,3]=>[4,8,6,3,2,7,1,5]
[1,4,8,6,5,2,7,3]=>[8,6,2,5,4,7,1,3]
[1,3,8,2,6,5,4,7]=>[7,6,2,4,5,8,1,3]
[1,7,6,3,8,2,4,5]=>[4,6,7,3,2,8,1,5]
[1,5,2,7,6,4,8,3]=>[2,6,5,4,8,1,3,7]
[1,2,4,3,8,7,5,6]=>[7,8,3,6,1,2,4,5]
[1,4,3,8,7,2,5,6]=>[2,6,7,8,3,5,1,4]
[1,3,8,6,2,4,5,7]=>[5,6,7,2,4,8,1,3]
[1,3,8,5,4,2,6,7]=>[6,5,2,4,7,8,1,3]
[1,7,2,4,8,6,5,3]=>[8,7,4,6,3,1,2,5]
[1,6,5,3,2,8,7,4]=>[8,4,3,2,7,1,5,6]
[1,3,2,8,7,5,4,6]=>[7,6,8,2,5,1,3,4]
[1,2,8,6,5,4,3,7]=>[7,6,5,4,8,1,2,3]
[8,1,3,4,6,5,2,7]=>[7,3,4,6,2,5,8,1]
[8,3,1,4,6,5,2,7]=>[2,7,4,6,3,5,8,1]
[5,8,3,1,2,6,4,7]=>[7,4,3,1,5,6,8,2]
[4,8,1,7,5,2,3,6]=>[1,6,7,5,8,3,4,2]
[4,8,1,7,5,2,6,3]=>[8,1,6,5,7,3,4,2]
[8,5,1,4,2,6,3,7]=>[7,5,3,4,2,6,8,1]
[8,4,1,3,5,6,2,7]=>[4,5,2,7,3,6,8,1]
[8,5,3,2,1,6,4,7]=>[4,3,7,5,2,6,8,1]
[8,1,5,4,2,6,3,7]=>[7,5,4,2,3,6,8,1]
[8,5,2,4,1,6,3,7]=>[7,3,5,4,2,6,8,1]
[4,8,7,1,5,2,6,3]=>[8,1,6,4,5,7,3,2]
[4,8,7,1,5,2,3,6]=>[1,6,7,4,5,8,3,2]
[7,6,8,4,1,3,2,5]=>[7,5,6,4,2,1,8,3]
[7,6,8,4,1,3,5,2]=>[6,8,5,4,2,1,7,3]
[3,8,7,5,4,1,2,6]=>[6,7,5,1,4,8,3,2]
[4,8,2,7,5,1,3,6]=>[1,6,7,3,5,8,4,2]
[7,6,8,4,1,5,2,3]=>[7,8,5,4,2,1,6,3]
[8,7,6,1,5,2,3,4]=>[6,7,8,4,5,3,2,1]
[7,1,4,8,6,3,5,2]=>[6,8,3,7,5,2,1,4]
[8,1,6,5,3,4,7,2]=>[5,6,4,3,8,2,7,1]
[8,6,2,5,3,4,7,1]=>[5,6,3,4,2,8,7,1]
[8,6,5,1,3,4,7,2]=>[5,6,8,4,3,2,7,1]
[8,7,5,1,3,6,2,4]=>[5,7,8,4,3,6,2,1]
[8,7,1,5,3,6,2,4]=>[5,7,4,8,3,6,2,1]
[8,6,1,3,5,4,7,2]=>[6,4,5,8,3,2,7,1]
[7,1,4,8,3,6,5,2]=>[8,3,5,7,6,2,1,4]
[7,8,5,2,4,3,6,1]=>[6,4,5,3,1,8,7,2]
[7,3,8,2,5,4,6,1]=>[6,2,4,5,1,8,7,3]
[8,4,2,5,3,7,6,1]=>[4,2,8,3,5,7,6,1]
[4,8,1,5,3,7,6,2]=>[1,4,8,5,7,3,6,2]
[7,4,8,2,6,3,5,1]=>[2,6,8,4,1,7,5,3]
[7,4,8,2,6,3,1,5]=>[2,7,4,6,1,8,5,3]
[8,7,3,1,6,4,2,5]=>[3,7,6,8,4,5,2,1]
[8,7,3,1,6,4,5,2]=>[3,6,8,7,4,5,2,1]
[8,7,3,1,4,6,5,2]=>[3,8,5,7,4,6,2,1]
[8,4,3,2,7,5,6,1]=>[3,2,6,8,4,7,5,1]
[6,4,1,7,8,5,3,2]=>[2,4,1,8,7,6,3,5]
[7,6,3,4,1,8,5,2]=>[3,4,8,7,5,2,1,6]
[8,7,3,1,6,2,5,4]=>[3,8,6,7,4,5,2,1]
[7,8,6,4,2,5,1,3]=>[5,7,4,1,8,6,3,2]
[7,8,2,4,6,5,1,3]=>[4,7,8,3,1,6,5,2]
[8,1,7,3,5,6,2,4]=>[7,4,5,8,6,2,3,1]
[8,7,5,2,4,6,1,3]=>[7,4,5,3,8,6,2,1]
[8,1,7,5,4,6,2,3]=>[7,5,4,8,6,2,3,1]
[8,7,3,2,6,1,5,4]=>[3,8,4,6,7,5,2,1]
[5,3,1,7,6,4,2,8]=>[7,2,1,6,5,3,4,8]
[7,5,3,2,1,6,4,8]=>[4,3,7,5,2,6,1,8]
[7,6,5,3,1,4,2,8]=>[7,5,4,6,3,2,1,8]
[1,8,6,4,3,2,7,5]=>[5,4,8,6,3,7,1,2]
[1,8,7,6,4,2,5,3]=>[8,6,5,7,4,3,1,2]
[8,4,6,7,5,3,2,1]=>[3,8,2,7,6,5,4,1]
[1,4,8,6,7,5,3,2]=>[4,8,7,2,6,5,1,3]
[7,6,2,5,8,4,3,1]=>[4,8,7,3,2,1,6,5]
[1,7,3,6,8,5,4,2]=>[4,8,7,3,2,6,1,5]
[8,6,2,5,7,4,3,1]=>[4,8,7,3,2,6,5,1]
[7,1,3,6,8,5,4,2]=>[4,8,7,3,6,2,1,5]
[1,8,3,6,7,5,4,2]=>[4,8,7,3,6,5,1,2]
[8,1,7,6,4,5,3,2]=>[5,8,7,6,4,2,3,1]
[7,1,8,6,4,5,3,2]=>[5,8,7,6,4,2,1,3]
[1,6,2,7,4,5,3,8]=>[5,7,6,3,1,2,4,8]
[1,8,2,6,4,3,5,7]=>[6,5,7,3,4,8,1,2]
[1,7,2,6,4,3,5,8]=>[6,5,7,3,4,1,2,8]
[1,7,2,5,4,6,3,8]=>[5,4,7,3,6,1,2,8]
[6,5,7,2,8,3,4,1]=>[6,2,1,8,4,3,7,5]
[6,5,7,2,8,1,4,3]=>[8,4,2,1,6,3,7,5]
[6,2,7,5,8,1,4,3]=>[8,6,4,2,1,3,7,5]
[6,5,7,3,8,1,4,2]=>[4,2,1,8,6,3,7,5]
[6,3,7,4,8,2,5,1]=>[4,6,2,1,3,8,7,5]
[6,3,7,4,8,1,5,2]=>[4,8,2,1,6,3,7,5]
[6,2,7,4,8,1,5,3]=>[4,8,6,2,1,3,7,5]
[8,7,6,4,2,5,3,1]=>[8,5,4,7,6,3,2,1]
[8,7,4,6,2,3,5,1]=>[5,3,6,8,7,4,2,1]
[6,8,4,5,7,3,2,1]=>[3,1,4,8,7,6,5,2]
[6,7,5,1,4,3,8,2]=>[6,5,1,8,4,3,2,7]
[7,8,5,1,4,3,6,2]=>[6,5,8,4,3,1,7,2]
[2,7,6,8,3,5,1,4]=>[5,7,3,2,8,1,6,4]
[7,2,1,5,3,8,6,4]=>[4,8,2,7,3,5,1,6]
[5,8,2,7,6,1,3,4]=>[6,1,7,8,3,5,4,2]
[5,1,8,7,3,4,2,6]=>[5,1,7,6,8,4,2,3]
[4,2,3,1,5,8,6,7]=>[2,3,1,7,8,4,5,6]
[2,4,8,7,5,3,1,6]=>[7,6,2,5,8,1,4,3]
[2,6,8,7,5,3,4,1]=>[2,6,8,7,5,1,4,3]
[2,6,5,1,4,3,8,7]=>[5,8,4,1,3,2,6,7]
[6,5,1,2,4,3,8,7]=>[5,8,3,4,2,1,6,7]
[4,6,5,3,1,2,8,7]=>[8,1,5,4,3,2,6,7]
[4,8,7,5,3,1,2,6]=>[6,7,1,5,4,8,3,2]
[4,6,8,7,5,3,1,2]=>[2,7,8,1,6,5,4,3]
[6,8,7,5,3,1,4,2]=>[1,8,6,5,7,4,3,2]
[8,7,5,6,3,1,4,2]=>[8,6,5,3,7,4,2,1]
[8,7,3,4,6,5,1,2]=>[3,4,7,8,6,5,2,1]
[2,1,4,8,7,3,6,5]=>[8,6,7,1,3,5,2,4]
[4,8,7,3,1,2,6,5]=>[8,1,5,4,6,7,3,2]
[8,7,3,4,1,2,6,5]=>[3,8,5,4,6,7,2,1]
[8,7,3,1,6,5,2,4]=>[3,7,8,6,4,5,2,1]
[8,7,3,2,6,5,1,4]=>[3,7,8,4,6,5,2,1]
[2,8,7,3,4,6,5,1]=>[8,4,5,7,6,1,3,2]
[2,8,7,3,6,5,1,4]=>[7,8,4,6,5,1,3,2]
[2,8,7,1,6,5,3,4]=>[7,8,6,4,5,1,3,2]
[8,7,1,2,6,5,3,4]=>[7,8,6,3,4,5,2,1]
[8,7,1,2,4,3,6,5]=>[5,8,3,4,6,7,2,1]
[2,1,8,7,3,4,6,5]=>[8,5,6,7,1,4,2,3]
[8,7,5,1,2,4,3,6]=>[7,4,5,6,3,8,2,1]
[2,8,7,1,4,3,6,5]=>[5,8,4,6,7,1,3,2]
[2,8,7,3,4,1,6,5]=>[4,5,8,6,7,1,3,2]
[2,8,7,5,6,3,4,1]=>[6,4,8,7,5,1,3,2]
[2,4,8,7,3,1,6,5]=>[5,8,2,6,7,1,4,3]
[2,8,7,3,1,4,6,5]=>[4,8,5,6,7,1,3,2]
[2,4,3,1,8,7,5,6]=>[2,7,8,1,3,6,4,5]
[4,3,1,2,6,8,7,5]=>[2,1,8,5,7,3,4,6]
[2,8,7,5,6,3,1,4]=>[7,6,4,8,5,1,3,2]
[2,8,7,5,3,1,6,4]=>[5,8,6,4,7,1,3,2]
[2,8,7,5,3,6,4,1]=>[8,5,4,7,6,1,3,2]
[2,8,7,5,6,1,4,3]=>[8,6,4,7,5,1,3,2]
[2,6,8,7,5,1,4,3]=>[2,8,6,7,5,1,4,3]
[6,8,7,5,1,2,4,3]=>[8,5,1,6,7,4,3,2]
[8,7,5,6,1,2,4,3]=>[8,5,6,3,7,4,2,1]
[8,7,1,2,4,6,5,3]=>[8,5,7,3,4,6,2,1]
[2,4,8,7,3,6,5,1]=>[8,5,7,2,6,1,4,3]
[8,7,2,4,3,6,5,1]=>[4,8,3,5,7,6,2,1]
[4,8,7,1,2,6,5,3]=>[8,1,7,4,5,6,3,2]
[8,7,5,3,1,2,6,4]=>[8,5,4,6,3,7,2,1]
[8,7,5,3,6,4,1,2]=>[4,7,3,8,6,5,2,1]
[8,7,1,4,3,6,5,2]=>[4,8,5,7,3,6,2,1]
[8,7,3,4,1,6,5,2]=>[3,4,8,7,5,6,2,1]
[7,1,2,3,5,4,6,8]=>[6,2,3,4,5,7,1,8]
[7,1,2,6,4,5,3,8]=>[5,7,6,2,3,4,1,8]
[7,1,2,4,3,5,6,8]=>[5,2,3,4,6,7,1,8]
[4,7,3,6,5,1,2,8]=>[1,3,6,7,5,4,2,8]
[7,5,4,2,8,3,1,6]=>[7,4,3,2,6,1,8,5]
[8,3,6,1,5,2,4,7]=>[2,6,7,4,5,3,8,1]
[3,1,6,8,5,7,2,4]=>[3,7,1,5,8,6,2,4]
[5,7,2,1,8,4,6,3]=>[6,1,8,3,7,4,2,5]
[7,2,8,6,4,3,1,5]=>[7,6,5,8,2,1,4,3]
[6,3,8,7,4,2,1,5]=>[7,6,2,1,5,8,4,3]
[7,6,3,2,8,4,1,5]=>[3,7,4,6,2,1,8,5]
[8,6,1,3,2,4,5,7]=>[5,3,4,6,7,2,8,1]
[5,8,3,7,4,2,1,6]=>[1,7,3,6,5,8,4,2]
[4,1,7,3,5,8,6,2]=>[1,8,4,5,3,7,2,6]
[8,4,7,3,5,2,1,6]=>[2,4,7,6,5,8,3,1]
[5,4,8,1,3,2,6,7]=>[6,4,2,1,5,7,8,3]
[4,5,8,2,1,3,6,7]=>[1,5,4,2,6,7,8,3]
[8,1,3,5,2,4,6,7]=>[3,5,6,2,4,7,8,1]
[1,8,3,5,7,2,4,6]=>[6,3,4,7,8,5,1,2]
[1,7,3,8,6,2,4,5]=>[6,7,8,3,2,5,1,4]
[8,6,2,1,3,7,5,4]=>[8,3,7,4,5,2,6,1]
[8,1,4,2,7,6,3,5]=>[3,7,8,6,2,4,5,1]
[1,5,7,3,6,8,2,4]=>[2,7,4,5,3,8,1,6]
[8,4,6,2,5,7,1,3]=>[2,7,4,5,3,8,6,1]
[1,3,4,7,6,8,2,5]=>[7,5,2,3,4,8,1,6]
[8,1,3,6,7,4,2,5]=>[7,6,3,4,8,2,5,1]
[1,2,4,7,8,5,3,6]=>[7,6,3,4,8,1,2,5]
[3,1,4,7,6,8,2,5]=>[7,1,5,3,4,8,2,6]
[4,1,3,7,6,8,2,5]=>[1,7,5,3,4,8,2,6]
[5,1,7,3,6,8,2,4]=>[7,4,1,5,3,8,2,6]
[6,7,8,2,4,5,1,3]=>[7,4,1,5,2,8,6,3]
[5,8,6,2,4,7,1,3]=>[1,7,4,5,3,8,6,2]
[3,8,2,6,5,7,1,4]=>[7,5,1,3,4,8,6,2]
[2,8,3,6,7,4,1,5]=>[7,6,3,4,8,1,5,2]
[8,7,2,5,6,3,1,4]=>[7,6,3,4,8,5,2,1]
[8,7,1,6,4,3,2,5]=>[7,6,5,8,3,4,2,1]
[1,8,2,7,5,4,3,6]=>[7,6,5,8,3,4,1,2]
[3,8,1,7,5,4,2,6]=>[7,6,1,5,8,3,4,2]
[5,8,6,1,7,3,2,4]=>[1,7,6,8,4,3,5,2]
[6,7,1,2,8,4,3,5]=>[7,6,8,3,1,4,2,5]
[2,1,3,8,6,5,4,7]=>[7,6,1,5,8,2,3,4]
[8,2,1,7,5,4,3,6]=>[7,6,2,5,8,3,4,1]
[1,3,2,8,6,5,4,7]=>[7,6,2,5,8,1,3,4]
[3,4,1,7,6,8,2,5]=>[7,1,2,5,4,8,3,6]
[2,5,7,1,8,4,3,6]=>[2,7,6,8,1,4,3,5]
[3,5,7,1,6,8,2,4]=>[2,7,1,5,8,4,3,6]
[4,5,7,6,1,8,2,3]=>[1,2,7,8,5,4,3,6]
[5,4,7,6,8,3,1,2]=>[1,7,2,4,3,8,6,5]
[1,5,7,8,6,3,2,4]=>[7,2,6,3,8,5,1,4]
[8,4,6,7,5,2,1,3]=>[7,2,6,3,8,5,4,1]
[8,3,7,5,6,2,1,4]=>[7,6,2,4,8,5,3,1]
[1,4,8,6,7,3,2,5]=>[7,6,2,4,8,5,1,3]
[2,4,8,6,7,3,1,5]=>[7,6,2,4,8,1,5,3]
[5,2,7,8,6,3,1,4]=>[1,7,6,3,8,2,5,4]
[2,3,8,7,5,4,1,6]=>[7,6,5,8,1,2,4,3]
[1,3,8,7,5,4,2,6]=>[7,6,5,8,2,4,1,3]
[8,2,7,6,4,3,1,5]=>[7,6,5,8,2,4,3,1]
[8,1,7,6,4,3,2,5]=>[7,6,5,8,4,2,3,1]
[4,1,8,6,7,3,2,5]=>[7,1,6,4,8,5,2,3]
[4,8,7,5,6,2,1,3]=>[7,6,1,4,8,5,3,2]
[5,6,8,1,7,4,3,2]=>[1,2,8,7,6,4,5,3]
[4,1,8,7,3,6,5,2]=>[8,1,5,7,6,4,2,3]
[5,6,8,4,1,7,3,2]=>[1,2,8,7,5,4,6,3]
[4,5,8,7,3,1,6,2]=>[8,1,2,6,5,7,4,3]
[3,1,8,4,7,6,5,2]=>[8,7,1,4,6,5,2,3]
[1,5,8,4,3,7,6,2]=>[2,4,8,5,7,6,1,3]
[8,1,7,2,5,6,4,3]=>[5,8,7,4,6,2,3,1]
[8,1,3,5,2,7,6,4]=>[4,8,3,7,2,5,6,1]
[2,7,1,5,4,8,6,3]=>[4,8,5,7,1,3,2,6]
[8,6,2,4,3,7,5,1]=>[4,8,3,5,2,7,6,1]
[2,4,1,6,7,5,8,3]=>[2,4,6,1,5,8,3,7]
[8,1,4,5,6,3,7,2]=>[3,4,6,5,8,2,7,1]
[8,1,4,5,6,2,7,3]=>[3,4,8,6,2,5,7,1]
[8,1,4,7,6,2,5,3]=>[8,3,6,7,5,2,4,1]
[2,5,1,7,8,6,4,3]=>[2,4,8,7,1,6,3,5]
[3,5,6,2,8,7,4,1]=>[2,3,8,1,7,4,6,5]
[2,4,5,1,7,6,3,8]=>[2,3,7,1,6,4,5,8]
[7,3,1,5,6,4,2,8]=>[2,4,7,6,3,5,1,8]
[8,3,2,5,6,7,1,4]=>[2,4,7,3,5,8,6,1]
[8,4,5,3,7,6,2,1]=>[2,3,8,4,7,6,5,1]
[3,4,5,6,2,8,1,7]=>[1,2,3,5,4,7,8,6]
[3,7,4,2,8,5,1,6]=>[3,7,1,4,6,2,8,5]
[7,3,4,1,6,8,2,5]=>[2,3,7,5,8,4,1,6]
[2,6,3,1,4,7,5,8]=>[3,7,1,4,5,2,6,8]
[7,2,1,6,3,4,8,5]=>[8,2,5,6,3,4,1,7]
[7,3,4,1,6,5,8,2]=>[2,3,6,5,8,4,1,7]
[3,7,4,2,5,8,6,1]=>[3,8,1,4,5,2,7,6]
[2,3,5,1,4,8,7,6]=>[3,8,1,2,7,4,5,6]
[2,7,1,3,6,8,5,4]=>[5,8,7,1,3,4,2,6]
[2,7,1,3,8,4,6,5]=>[8,6,7,1,3,4,2,5]
[3,8,7,1,6,2,5,4]=>[8,6,7,1,4,5,3,2]
[3,8,7,1,4,5,2,6]=>[5,7,1,4,6,8,3,2]
[3,7,4,2,1,8,6,5]=>[3,8,1,4,7,5,2,6]
[4,8,5,7,2,6,3,1]=>[3,8,1,5,7,6,4,2]
[8,4,5,7,3,2,6,1]=>[2,3,6,5,8,7,4,1]
[8,3,7,2,4,1,5,6]=>[2,4,6,5,7,8,3,1]
[8,6,7,2,1,4,3,5]=>[4,7,5,6,2,8,3,1]
[8,3,7,5,1,2,6,4]=>[8,2,5,6,4,7,3,1]
[7,3,4,6,2,1,5,8]=>[2,3,6,5,7,4,1,8]
[3,7,4,6,1,5,2,8]=>[3,7,1,5,6,4,2,8]
[3,4,7,6,1,2,8,5]=>[8,1,2,5,6,4,3,7]
[4,5,8,7,6,1,3,2]=>[8,1,2,6,7,5,4,3]
[8,6,3,7,5,1,4,2]=>[8,3,6,2,7,5,4,1]
[8,7,3,5,6,1,4,2]=>[8,3,6,4,7,5,2,1]
[7,6,3,8,1,4,5,2]=>[3,6,8,5,2,1,7,4]
[8,5,2,7,6,1,3,4]=>[6,7,2,8,3,5,4,1]
[8,7,3,1,4,5,2,6]=>[5,3,7,4,6,8,2,1]
[6,4,7,2,1,5,8,3]=>[4,2,6,1,8,5,3,7]
[8,4,2,5,1,6,7,3]=>[6,3,2,4,8,5,7,1]
[8,5,3,1,6,4,7,2]=>[3,6,5,2,8,4,7,1]
[8,7,3,1,4,5,6,2]=>[5,3,6,8,4,7,2,1]
[8,7,4,1,5,6,2,3]=>[7,5,3,8,4,6,2,1]
[8,6,4,1,7,5,2,3]=>[7,3,8,6,4,2,5,1]
[8,6,3,1,7,4,5,2]=>[3,6,8,7,4,2,5,1]
[8,5,3,1,6,7,4,2]=>[3,5,2,8,7,4,6,1]
[8,5,3,7,1,6,4,2]=>[8,3,2,7,5,6,4,1]
[7,6,3,8,1,4,2,5]=>[3,7,5,6,2,1,8,4]
[7,4,8,2,6,1,5,3]=>[2,8,4,6,1,7,5,3]
[6,4,7,3,1,5,2,8]=>[2,7,5,4,1,6,3,8]
[8,5,3,1,6,4,2,7]=>[3,7,6,4,2,5,8,1]
[8,7,4,1,5,2,3,6]=>[6,7,4,3,5,8,2,1]
[8,7,5,1,2,6,3,4]=>[7,8,4,5,3,6,2,1]
[8,6,4,1,2,7,5,3]=>[8,7,4,3,5,2,6,1]
[8,7,4,1,2,5,3,6]=>[7,4,5,3,6,8,2,1]
[8,7,5,1,2,3,6,4]=>[8,4,5,6,3,7,2,1]
[6,5,3,7,4,2,1,8]=>[7,3,2,1,6,5,4,8]
[1,6,3,8,4,2,5,7]=>[6,3,5,2,7,8,1,4]
[4,7,2,5,3,6,1,8]=>[1,5,3,4,7,6,2,8]
[1,8,3,4,5,2,6,7]=>[3,4,6,5,7,8,1,2]
[1,8,6,4,2,5,3,7]=>[7,5,4,6,3,8,1,2]
[8,2,6,4,1,5,7,3]=>[6,4,8,2,5,3,7,1]
[7,8,3,4,6,1,5,2]=>[3,4,8,6,1,7,5,2]
[4,8,7,5,3,1,6,2]=>[8,6,1,5,4,7,3,2]
[6,1,4,8,3,2,5,7]=>[3,6,5,7,1,8,2,4]
[4,1,8,5,3,2,6,7]=>[1,6,5,4,7,8,2,3]
[8,1,6,4,2,7,3,5]=>[7,4,8,5,2,3,6,1]
[3,1,7,4,2,5,8,6]=>[1,4,8,5,6,2,3,7]
[1,2,7,4,3,5,6,8]=>[5,4,6,7,1,2,3,8]
[6,1,8,5,2,4,3,7]=>[7,5,6,4,1,8,2,3]
[6,8,2,5,1,4,7,3]=>[6,8,3,1,5,4,7,2]
[4,5,2,1,6,8,7,3]=>[1,8,3,2,5,7,4,6]
[7,2,8,6,5,1,4,3]=>[8,6,7,5,2,1,4,3]
[7,4,8,6,1,5,3,2]=>[8,2,7,5,1,6,4,3]
[8,7,2,6,1,4,5,3]=>[6,8,3,5,7,4,2,1]
[1,7,8,6,2,4,3,5]=>[7,5,6,2,8,4,1,3]
[7,6,3,1,2,5,4,8]=>[7,4,3,5,6,2,1,8]
[8,5,3,1,2,4,7,6]=>[8,4,3,5,2,6,7,1]
[8,2,1,6,5,3,4,7]=>[6,7,2,5,3,4,8,1]
[3,8,1,5,6,2,4,7]=>[6,1,4,7,3,5,8,2]
[6,8,4,1,5,2,3,7]=>[6,7,4,3,1,5,8,2]
[3,2,8,1,6,4,5,7]=>[1,6,7,2,4,5,8,3]
[5,2,1,3,7,6,4,8]=>[7,2,6,3,1,4,5,8]
[5,4,1,2,8,3,7,6]=>[8,6,2,1,7,3,4,5]
[5,8,4,1,2,3,7,6]=>[8,4,1,5,3,6,7,2]
[7,1,2,5,3,4,6,8]=>[5,6,2,3,4,7,1,8]
[1,6,7,3,2,8,4,5]=>[4,7,2,8,5,1,3,6]
[1,8,6,3,2,7,4,5]=>[4,7,8,5,3,6,1,2]
[1,5,3,7,2,8,4,6]=>[7,2,8,3,5,1,4,6]
[1,4,6,2,8,5,3,7]=>[7,2,6,3,8,1,4,5]
[1,5,6,2,8,4,3,7]=>[2,7,6,3,8,1,4,5]
[2,4,6,3,1,7,5,8]=>[2,4,7,1,5,3,6,8]
[3,4,8,6,5,7,2,1]=>[5,4,8,1,2,7,6,3]
[1,2,4,7,3,6,5,8]=>[7,3,5,6,1,2,4,8]
[1,2,5,7,4,3,6,8]=>[3,6,5,7,1,2,4,8]
[1,2,5,7,4,6,8,3]=>[3,5,6,4,8,1,2,7]
[1,2,4,7,6,8,3,5]=>[7,5,3,4,8,1,2,6]
[3,5,8,6,1,7,2,4]=>[2,7,8,1,5,4,6,3]
[2,3,6,8,1,7,4,5]=>[7,3,8,1,2,5,6,4]
[2,3,7,1,8,6,4,5]=>[7,8,6,1,2,4,3,5]
[2,6,1,7,8,5,3,4]=>[7,4,2,8,1,6,3,5]
[2,4,8,5,6,7,1,3]=>[4,7,2,5,8,1,6,3]
[1,4,8,5,6,7,3,2]=>[4,5,8,2,7,6,1,3]
[3,2,1,6,8,4,7,5]=>[1,4,8,2,6,7,3,5]
[4,8,3,1,6,5,7,2]=>[1,3,6,5,8,4,7,2]
[1,6,8,5,4,2,7,3]=>[2,8,6,5,4,7,1,3]
[6,5,8,4,2,1,7,3]=>[5,2,1,8,6,4,7,3]
[1,7,8,6,5,4,2,3]=>[7,2,8,6,5,4,1,3]
[6,8,7,4,5,1,3,2]=>[1,8,6,4,7,5,3,2]
[6,1,3,5,4,2,8,7]=>[5,3,4,8,2,1,6,7]
[3,6,4,2,5,1,8,7]=>[4,1,3,5,2,8,6,7]
[2,1,5,8,6,4,7,3]=>[6,3,5,8,1,7,2,4]
[4,2,8,5,6,3,7,1]=>[1,4,6,5,8,2,7,3]
[5,3,7,2,6,8,4,1]=>[5,1,8,2,4,3,7,6]
[5,7,2,3,4,6,8,1]=>[3,4,1,5,6,2,8,7]
[1,8,7,3,2,5,6,4]=>[4,6,8,5,7,3,1,2]
[5,7,1,2,3,8,6,4]=>[8,7,3,1,4,5,2,6]
[7,8,6,2,4,1,5,3]=>[8,4,6,5,1,7,3,2]
[7,2,8,4,6,1,5,3]=>[4,8,6,7,2,1,5,3]
[7,4,6,2,8,1,5,3]=>[2,8,4,6,3,1,7,5]
[7,1,5,8,2,3,6,4]=>[8,5,3,6,7,2,1,4]
[7,6,4,8,2,1,5,3]=>[5,3,8,6,2,1,7,4]
[6,1,8,4,2,3,5,7]=>[5,6,4,7,1,8,2,3]
[7,3,6,2,1,8,5,4]=>[8,2,4,7,5,3,1,6]
[1,8,6,4,2,5,7,3]=>[6,4,8,5,3,7,1,2]
[5,6,2,1,8,4,7,3]=>[6,1,8,3,2,7,4,5]
[2,8,1,6,5,7,3,4]=>[7,5,4,8,1,3,6,2]
[5,1,6,4,3,8,7,2]=>[4,3,1,8,5,7,2,6]
[5,4,6,8,1,3,7,2]=>[2,1,6,3,8,5,7,4]
[3,7,1,6,4,5,8,2]=>[5,6,1,4,8,3,2,7]
[3,5,2,1,4,6,7,8]=>[1,4,3,5,2,6,7,8]
[1,3,8,7,5,4,6,2]=>[6,5,8,7,2,4,1,3]
[6,7,3,4,8,5,1,2]=>[3,4,1,7,2,8,6,5]
[7,4,1,8,2,5,6,3]=>[6,2,8,5,7,3,1,4]
[3,1,7,2,5,6,8,4]=>[1,5,6,8,4,2,3,7]
[4,1,5,7,3,2,8,6]=>[3,1,5,8,6,2,4,7]
[6,4,1,7,2,8,5,3]=>[2,8,7,5,3,1,4,6]
[7,3,1,6,2,8,5,4]=>[8,2,7,5,3,4,1,6]
[4,8,2,5,3,1,6,7]=>[1,6,3,5,4,7,8,2]
[5,1,3,4,8,2,6,7]=>[3,4,6,1,7,8,2,5]
[6,1,4,5,7,8,2,3]=>[3,4,7,5,1,8,2,6]
[6,3,4,7,1,8,5,2]=>[8,2,3,1,7,5,4,6]
[7,8,5,1,3,4,6,2]=>[5,6,8,4,3,1,7,2]
[7,1,3,4,5,6,8,2]=>[3,4,5,6,8,2,1,7]
[8,5,2,7,6,3,1,4]=>[7,6,2,8,3,5,4,1]
[1,8,3,5,6,2,7,4]=>[4,8,3,6,5,7,1,2]
[8,3,2,5,6,1,7,4]=>[2,4,8,3,6,5,7,1]
[4,2,5,1,6,8,7,3]=>[3,1,8,2,5,7,4,6]
[5,4,2,7,8,6,1,3]=>[2,1,7,4,8,3,6,5]
[6,8,7,2,1,3,4,5]=>[5,4,6,1,7,8,3,2]
[3,7,6,8,5,2,4,1]=>[6,3,2,8,1,7,5,4]
[1,7,8,5,2,6,3,4]=>[7,8,5,4,2,6,1,3]
[7,6,1,2,5,3,8,4]=>[8,6,3,4,5,2,1,7]
[5,8,7,2,6,3,4,1]=>[1,6,8,4,7,5,3,2]
[7,6,2,4,8,1,5,3]=>[4,8,3,6,2,1,7,5]
[1,5,7,3,8,6,2,4]=>[2,7,8,4,3,6,1,5]
[6,7,5,1,8,2,3,4]=>[6,7,1,8,4,3,2,5]
[7,6,1,2,4,3,8,5]=>[5,8,3,4,6,2,1,7]
[6,7,2,1,5,3,8,4]=>[8,3,6,4,1,5,2,7]
[4,3,2,8,7,1,6,5]=>[1,8,2,6,7,3,5,4]
[4,8,3,2,7,1,6,5]=>[1,3,8,4,6,7,5,2]
[4,8,3,1,7,6,5,2]=>[8,1,3,7,6,4,5,2]
[5,3,8,7,1,6,4,2]=>[1,8,7,2,5,6,4,3]
[5,8,7,3,1,6,4,2]=>[1,4,8,7,5,6,3,2]
[5,3,8,2,1,7,6,4]=>[8,2,1,4,7,5,6,3]
[3,8,7,2,6,5,1,4]=>[7,8,4,6,1,5,3,2]
[7,4,1,8,6,5,3,2]=>[8,2,7,6,5,3,1,4]
[5,4,2,8,1,7,6,3]=>[2,1,8,7,3,5,6,4]
[5,8,4,2,1,7,6,3]=>[1,8,4,3,7,5,6,2]
[5,8,4,7,1,6,3,2]=>[1,3,8,7,5,6,4,2]
[5,4,8,3,1,7,6,2]=>[2,1,4,8,7,5,6,3]
[8,5,6,1,4,7,2,3]=>[7,5,2,8,4,3,6,1]
[6,7,4,1,2,5,8,3]=>[6,8,4,3,1,5,2,7]
[1,6,7,4,2,5,8,3]=>[6,4,2,8,5,1,3,7]
[3,6,7,5,8,1,2,4]=>[6,2,7,1,4,3,8,5]
[1,6,7,5,8,3,2,4]=>[2,7,6,4,3,8,1,5]
[3,8,6,5,7,4,1,2]=>[7,4,3,8,1,6,5,2]
[8,1,6,5,7,4,3,2]=>[4,3,8,7,6,2,5,1]
[5,2,1,6,8,4,7,3]=>[4,6,1,8,2,7,3,5]
[6,5,8,7,4,2,3,1]=>[2,1,6,8,7,5,4,3]
[6,8,5,7,4,2,1,3]=>[1,7,6,3,8,5,4,2]
[3,6,7,5,8,2,1,4]=>[2,7,6,1,4,3,8,5]
[4,7,5,3,8,1,2,6]=>[6,1,4,3,7,2,8,5]
[4,7,5,3,6,1,2,8]=>[6,1,4,3,7,5,2,8]
[4,7,5,3,1,6,2,8]=>[7,1,5,4,3,6,2,8]
[4,7,5,3,8,1,6,2]=>[4,1,3,8,6,2,7,5]
[2,7,5,8,6,3,4,1]=>[3,6,2,8,7,1,5,4]
[2,7,5,6,8,3,4,1]=>[3,6,4,2,8,1,7,5]
[2,7,5,6,8,3,1,4]=>[3,7,6,4,1,2,8,5]
[4,7,5,3,6,8,1,2]=>[4,1,3,7,5,2,8,6]
[2,7,5,6,3,8,4,1]=>[3,8,5,4,1,2,7,6]
[2,7,5,3,6,8,1,4]=>[7,4,3,5,1,2,8,6]
[8,7,5,3,1,4,6,2]=>[6,4,8,5,3,7,2,1]
[2,7,5,3,1,4,8,6]=>[4,8,5,1,3,6,2,7]
[2,7,5,3,4,8,6,1]=>[8,4,3,5,1,2,7,6]
[5,7,6,2,8,3,1,4]=>[1,7,4,6,3,2,8,5]
[5,1,6,3,2,4,8,7]=>[4,8,5,2,1,3,6,7]
[5,7,6,1,8,3,2,4]=>[1,7,6,8,4,3,2,5]
[3,8,7,2,1,5,4,6]=>[4,7,1,5,6,8,3,2]
[6,1,7,2,8,4,3,5]=>[7,6,8,4,2,1,3,5]
[4,8,5,6,7,3,1,2]=>[3,7,1,4,8,6,5,2]
[3,7,6,2,8,5,1,4]=>[7,8,4,1,3,2,6,5]
[6,1,7,3,8,5,2,4]=>[7,8,4,3,1,6,2,5]
[7,1,8,3,2,5,4,6]=>[4,7,5,6,8,2,1,3]
[2,7,8,3,1,5,4,6]=>[4,7,5,6,1,2,8,3]
[4,8,5,6,7,2,1,3]=>[3,7,1,6,4,8,5,2]
[5,8,6,2,7,4,1,3]=>[1,7,8,4,3,6,5,2]
[2,4,6,7,8,5,1,3]=>[3,7,2,4,8,1,6,5]
[2,4,6,7,8,3,1,5]=>[3,7,2,6,1,4,8,5]
[4,7,6,2,8,5,1,3]=>[7,8,1,4,3,2,6,5]
[5,8,7,3,2,4,1,6]=>[1,5,4,7,6,8,3,2]
[4,6,5,8,7,3,1,2]=>[3,1,2,7,8,6,5,4]
[8,3,1,7,2,6,4,5]=>[2,7,8,5,6,3,4,1]
[4,5,1,2,8,7,3,6]=>[1,7,2,8,6,3,4,5]
[5,6,1,2,8,3,7,4]=>[8,6,1,7,3,2,4,5]
[8,4,5,1,7,6,2,3]=>[2,7,3,8,6,4,5,1]
[8,5,6,1,7,2,4,3]=>[8,6,2,7,4,3,5,1]
[7,5,6,1,3,8,4,2]=>[8,5,2,7,4,3,1,6]
[5,7,6,1,3,8,4,2]=>[1,8,5,7,4,3,2,6]
[6,7,1,4,2,8,5,3]=>[4,8,7,3,1,5,2,6]
[2,1,6,4,8,3,7,5]=>[8,4,1,3,6,7,2,5]
[7,4,5,1,3,8,6,2]=>[2,8,5,3,7,4,1,6]
[1,5,7,8,4,2,3,6]=>[2,6,7,5,3,8,1,4]
[1,3,6,4,2,5,7,8]=>[5,2,4,6,1,3,7,8]
[1,4,5,7,8,3,6,2]=>[6,2,3,4,8,7,1,5]
[1,5,7,8,3,6,2,4]=>[2,5,7,3,8,6,1,4]
[1,5,7,8,2,4,3,6]=>[2,7,5,6,3,8,1,4]
[6,8,4,7,3,2,1,5]=>[3,1,7,6,5,8,4,2]
[6,8,5,4,2,7,1,3]=>[5,1,7,4,3,8,6,2]
[1,8,4,6,3,2,7,5]=>[3,5,8,6,4,7,1,2]
[6,4,8,5,3,2,1,7]=>[7,2,1,6,5,4,8,3]
[3,5,6,1,4,2,7,8]=>[6,1,4,2,5,3,7,8]
[1,6,3,8,4,2,7,5]=>[5,8,3,2,6,7,1,4]
[7,1,3,2,4,6,8,5]=>[3,6,8,2,4,5,1,7]
[2,6,5,7,8,3,1,4]=>[3,2,7,6,1,4,8,5]
[4,1,8,2,6,7,5,3]=>[1,5,8,7,4,6,2,3]
[3,6,7,8,2,1,4,5]=>[6,5,1,2,7,3,8,4]
[2,5,7,1,6,3,4,8]=>[6,2,7,1,4,5,3,8]
[4,2,8,3,6,5,1,7]=>[1,7,4,6,2,5,8,3]
[6,3,8,7,2,4,5,1]=>[5,6,1,8,2,7,4,3]
[7,6,1,8,2,4,5,3]=>[6,8,5,7,3,2,1,4]
[2,5,6,3,4,8,1,7]=>[4,2,5,1,3,7,8,6]
[5,2,4,7,8,6,1,3]=>[7,3,1,4,8,2,6,5]
[7,2,1,3,4,8,5,6]=>[2,7,8,3,4,5,1,6]
[2,4,5,7,1,8,6,3]=>[8,2,3,7,1,5,4,6]
[8,1,6,2,3,4,7,5]=>[8,4,5,6,2,3,7,1]
[6,1,4,2,5,7,8,3]=>[5,3,6,8,2,1,4,7]
[1,6,7,2,4,3,5,8]=>[6,4,5,2,7,1,3,8]
[1,8,3,4,5,2,7,6]=>[3,4,5,8,6,7,1,2]
[1,8,3,6,4,7,2,5]=>[5,7,3,4,8,6,1,2]
[1,4,7,2,5,6,3,8]=>[2,5,7,4,6,1,3,8]
[7,3,5,8,2,6,1,4]=>[5,2,3,7,1,8,6,4]
[3,4,8,6,7,2,1,5]=>[7,6,1,2,4,8,5,3]
[3,4,8,2,5,1,7,6]=>[1,2,4,5,8,6,7,3]
[1,7,2,5,8,4,3,6]=>[4,7,6,8,3,1,2,5]
[1,4,6,7,8,3,5,2]=>[3,6,2,4,8,7,1,5]
[4,1,5,3,6,8,7,2]=>[3,1,8,4,5,7,2,6]
[3,7,5,1,6,8,4,2]=>[5,3,8,1,7,4,2,6]
[5,8,7,4,6,2,3,1]=>[6,1,4,8,7,5,3,2]
[6,8,7,1,5,3,4,2]=>[6,1,8,7,4,5,3,2]
[2,7,8,4,6,5,1,3]=>[4,7,2,8,6,1,5,3]
[3,7,8,5,4,6,2,1]=>[5,4,2,8,1,7,6,3]
[4,8,7,5,2,6,3,1]=>[8,5,1,4,7,6,3,2]
[2,8,7,4,6,1,5,3]=>[4,8,6,7,5,1,3,2]
[4,8,7,2,5,6,3,1]=>[5,8,1,4,7,6,3,2]
[4,7,8,5,3,6,2,1]=>[5,4,1,2,8,7,6,3]
[6,4,8,1,5,7,3,2]=>[2,5,1,8,7,4,6,3]
[1,6,8,3,5,2,7,4]=>[8,4,2,6,5,7,1,3]
[4,5,8,6,3,7,2,1]=>[5,1,2,4,8,7,6,3]
[2,6,7,8,4,5,1,3]=>[2,7,5,3,8,1,6,4]
[6,1,2,8,4,7,5,3]=>[8,5,7,6,2,1,3,4]
[4,7,1,8,5,6,3,2]=>[5,8,1,7,6,3,2,4]
[5,7,1,8,2,6,4,3]=>[1,8,7,5,6,3,2,4]
[7,2,1,8,6,4,5,3]=>[6,8,7,2,5,3,1,4]
[5,3,8,4,7,6,2,1]=>[1,8,4,7,2,6,5,3]
[2,5,8,1,7,4,6,3]=>[2,6,8,7,1,4,5,3]
[4,5,8,3,7,6,2,1]=>[8,1,2,4,7,6,5,3]
[1,7,2,8,6,4,5,3]=>[6,8,7,5,3,1,2,4]
[3,5,7,8,1,6,2,4]=>[2,7,8,1,5,3,6,4]
[2,4,7,8,5,6,1,3]=>[7,5,2,3,8,1,6,4]
[4,1,7,8,5,6,3,2]=>[5,1,3,8,7,6,2,4]
[3,5,8,6,4,7,2,1]=>[5,2,4,8,1,7,6,3]
[2,4,8,5,7,6,1,3]=>[4,7,8,2,6,1,5,3]
[2,6,3,8,5,1,7,4]=>[8,6,3,1,2,5,7,4]
[4,1,5,8,6,7,3,2]=>[1,5,8,3,7,6,2,4]
[4,5,8,2,6,3,1,7]=>[1,2,7,4,6,5,8,3]
[5,3,4,7,6,1,2,8]=>[2,3,1,6,7,5,4,8]
[6,2,1,4,8,3,7,5]=>[8,2,4,6,1,7,3,5]
[2,8,5,4,1,3,7,6]=>[8,5,4,1,3,6,7,2]
[4,2,8,7,1,3,5,6]=>[5,1,6,7,8,2,4,3]
[5,4,6,3,1,7,2,8]=>[2,1,7,5,4,3,6,8]
[4,3,6,5,1,8,2,7]=>[1,7,2,4,3,8,5,6]
[1,5,6,8,7,3,2,4]=>[2,3,7,6,8,5,1,4]
[1,4,8,3,6,5,2,7]=>[7,2,4,6,5,8,1,3]
[1,3,8,6,4,7,2,5]=>[5,7,4,8,2,6,1,3]
[1,2,8,6,4,3,7,5]=>[5,8,6,4,7,1,2,3]
[6,5,1,8,7,3,2,4]=>[7,6,2,1,8,5,3,4]
[4,1,7,6,8,3,2,5]=>[7,1,6,4,3,8,2,5]
[8,1,4,5,7,3,2,6]=>[3,4,7,6,8,2,5,1]
[1,8,4,7,6,2,3,5]=>[3,6,7,8,5,4,1,2]
[8,3,2,6,1,7,4,5]=>[2,7,8,3,5,4,6,1]
[1,6,3,7,4,5,2,8]=>[5,7,3,2,6,1,4,8]
[2,6,3,7,4,8,5,1]=>[8,5,3,1,2,4,7,6]
[4,6,1,7,8,2,5,3]=>[8,1,6,4,2,7,3,5]
[7,2,3,8,4,5,6,1]=>[5,6,8,2,3,1,7,4]
[5,2,6,7,8,3,4,1]=>[3,1,6,4,8,2,7,5]
[6,5,8,1,2,7,4,3]=>[8,7,4,2,1,5,6,3]
[6,5,1,8,7,2,4,3]=>[8,6,2,1,7,5,3,4]
[5,8,4,3,7,2,1,6]=>[1,4,3,7,6,8,5,2]
[6,1,2,8,7,3,4,5]=>[6,7,8,5,2,1,3,4]
[7,3,2,8,4,6,1,5]=>[2,5,7,8,3,1,6,4]
[4,5,1,7,6,2,8,3]=>[1,2,8,6,5,3,4,7]
[1,5,2,7,6,3,4,8]=>[6,2,7,5,1,3,4,8]
[7,2,6,8,3,5,4,1]=>[8,5,3,7,2,1,6,4]
[4,8,1,7,6,2,5,3]=>[8,1,6,7,5,3,4,2]
[7,2,8,6,5,3,4,1]=>[6,8,7,5,2,1,4,3]
[4,1,8,7,6,5,2,3]=>[7,8,1,6,5,4,2,3]
[7,6,5,2,8,4,3,1]=>[8,7,4,3,2,1,6,5]
[6,5,1,8,7,4,3,2]=>[2,1,8,7,6,5,3,4]
[7,5,1,8,6,4,3,2]=>[2,8,7,6,5,3,1,4]
[8,5,1,7,6,4,3,2]=>[2,8,7,6,5,3,4,1]
[8,5,3,7,6,1,4,2]=>[8,3,2,6,7,5,4,1]
[3,8,7,6,1,5,4,2]=>[8,7,5,6,1,4,3,2]
[8,3,7,5,4,1,6,2]=>[8,6,2,5,4,7,3,1]
[4,5,3,1,8,7,2,6]=>[1,3,2,7,8,6,4,5]
[3,4,8,1,5,2,6,7]=>[1,2,6,4,5,7,8,3]
[8,6,5,7,1,3,2,4]=>[7,5,6,3,2,8,4,1]
[1,5,8,6,2,7,4,3]=>[8,2,7,5,4,6,1,3]
[3,1,8,5,7,2,6,4]=>[4,8,1,6,7,5,2,3]
[6,8,5,3,4,2,1,7]=>[4,1,7,6,5,3,8,2]
[8,5,2,6,4,3,1,7]=>[7,6,3,2,5,4,8,1]
[8,6,4,5,2,1,7,3]=>[5,3,8,6,4,2,7,1]
[8,5,2,6,1,4,7,3]=>[6,8,3,2,5,4,7,1]
[2,7,5,8,1,4,6,3]=>[6,3,8,5,1,2,7,4]
[3,2,6,7,1,8,5,4]=>[3,8,1,7,2,5,4,6]
[3,4,6,7,8,2,1,5]=>[3,7,1,2,6,4,8,5]
[3,2,6,7,8,4,1,5]=>[3,7,1,6,2,4,8,5]
[6,2,7,4,8,5,1,3]=>[4,7,3,1,8,2,6,5]
[6,7,1,3,8,5,4,2]=>[8,7,4,1,6,3,2,5]
[6,7,1,8,5,2,4,3]=>[8,6,1,7,5,3,2,4]
[1,2,6,7,8,5,3,4]=>[3,7,4,8,6,1,2,5]
[1,6,7,4,8,3,2,5]=>[4,2,7,6,3,8,1,5]
[1,4,6,7,8,3,2,5]=>[3,7,2,6,4,8,1,5]
[6,1,2,4,5,3,7,8]=>[4,6,2,3,5,1,7,8]
[8,1,7,3,2,6,4,5]=>[4,7,8,5,6,2,3,1]
[8,7,2,1,5,4,6,3]=>[6,3,5,8,4,7,2,1]
[2,7,4,8,6,5,3,1]=>[8,7,3,2,6,1,5,4]
[7,6,5,2,4,1,8,3]=>[8,4,6,5,3,2,1,7]
[7,6,4,3,1,5,8,2]=>[6,4,3,8,5,2,1,7]
[6,1,8,7,2,3,5,4]=>[8,5,6,1,7,4,2,3]
[8,6,1,2,7,3,4,5]=>[6,7,8,3,4,2,5,1]
[3,6,8,2,7,1,5,4]=>[8,4,1,2,6,7,5,3]
[2,8,6,1,4,5,7,3]=>[5,6,8,4,1,3,7,2]
[6,8,7,2,5,4,1,3]=>[7,1,8,4,6,5,3,2]
[3,2,6,4,8,7,5,1]=>[3,8,1,7,2,4,6,5]
[4,7,2,8,6,5,1,3]=>[7,8,1,6,3,2,5,4]
[4,7,1,8,6,5,3,2]=>[8,7,1,6,5,3,2,4]
[2,7,4,8,3,6,1,5]=>[3,5,7,2,8,1,6,4]
[4,7,3,8,6,1,5,2]=>[8,1,3,6,2,7,5,4]
[4,3,6,8,7,2,5,1]=>[1,3,6,8,2,7,5,4]
[4,3,8,2,5,7,6,1]=>[1,8,2,4,5,7,6,3]
[4,1,2,6,8,7,5,3]=>[1,8,4,7,6,2,3,5]
[3,1,6,4,8,7,2,5]=>[7,1,3,8,4,6,2,5]
[4,1,6,8,7,5,2,3]=>[1,3,7,8,6,5,2,4]
[3,8,1,4,5,7,2,6]=>[1,4,5,7,8,3,6,2]
[3,8,1,4,2,5,7,6]=>[1,4,8,3,5,6,7,2]
[4,1,8,3,5,2,7,6]=>[4,1,5,8,6,7,2,3]
[3,8,1,2,5,4,7,6]=>[1,5,8,3,4,6,7,2]
[4,2,3,6,8,7,1,5]=>[4,1,7,8,2,3,6,5]
[4,2,8,3,5,1,7,6]=>[4,1,5,8,2,6,7,3]
[4,2,8,3,5,7,6,1]=>[1,8,4,5,7,2,6,3]
[3,8,2,4,5,7,6,1]=>[8,1,3,4,5,7,6,2]
[3,8,2,5,1,4,7,6]=>[8,1,3,5,4,6,7,2]
[4,2,8,5,7,1,3,6]=>[1,6,4,7,8,2,5,3]
[3,8,1,5,2,4,7,6]=>[8,1,5,3,4,6,7,2]
[7,5,6,4,1,3,2,8]=>[7,5,2,6,4,3,1,8]
[7,8,6,4,1,3,2,5]=>[7,5,6,4,1,8,3,2]
[7,1,4,2,5,6,3,8]=>[5,3,7,2,4,6,1,8]
[7,3,2,1,4,6,5,8]=>[3,2,7,4,5,6,1,8]
[7,6,1,4,3,2,5,8]=>[6,5,3,4,7,2,1,8]
[7,4,1,3,5,6,2,8]=>[4,5,2,7,3,6,1,8]
[2,7,1,3,5,6,8,4]=>[5,6,8,1,3,4,2,7]
[3,6,2,1,5,8,7,4]=>[8,1,3,5,2,7,4,6]
[2,3,6,1,5,8,7,4]=>[8,5,1,2,3,7,4,6]
[3,4,7,1,5,6,8,2]=>[1,2,5,6,8,4,3,7]
[3,6,7,4,1,2,8,5]=>[8,5,1,4,2,6,3,7]
[4,3,2,7,1,6,8,5]=>[2,1,6,8,3,5,4,7]
[7,3,2,8,1,6,4,5]=>[2,7,8,3,5,1,6,4]
[7,4,8,1,5,6,3,2]=>[2,5,8,7,4,1,6,3]
[2,6,8,1,5,3,7,4]=>[8,6,4,1,2,5,7,3]
[6,8,2,1,5,3,7,4]=>[8,3,6,4,1,5,7,2]
[4,8,2,5,3,6,7,1]=>[1,5,3,4,6,8,7,2]
[4,5,8,2,3,6,7,1]=>[1,4,2,5,6,8,7,3]
[2,4,8,5,3,6,7,1]=>[5,2,4,6,8,1,7,3]
[5,3,2,6,4,8,7,1]=>[2,4,1,8,3,5,7,6]
[2,4,5,3,8,6,7,1]=>[2,3,6,8,1,4,7,5]
[4,3,5,2,8,6,7,1]=>[2,1,3,6,8,4,7,5]
[4,8,5,3,2,6,7,1]=>[5,1,4,3,6,8,7,2]
[3,5,4,2,8,6,7,1]=>[3,1,2,6,8,4,7,5]
[4,1,2,7,5,6,8,3]=>[5,1,6,4,8,2,3,7]
[5,6,7,4,2,8,3,1]=>[1,2,8,5,4,3,7,6]
[2,5,7,4,6,8,3,1]=>[2,4,5,3,8,1,7,6]
[7,5,2,4,3,8,6,1]=>[4,8,3,2,5,1,7,6]
[6,8,1,2,5,4,7,3]=>[6,5,8,3,1,4,7,2]
[6,4,1,8,5,2,7,3]=>[2,8,6,5,1,7,3,4]
[2,6,1,8,5,4,7,3]=>[6,5,2,8,1,7,3,4]
[7,1,2,8,5,6,4,3]=>[5,8,7,6,2,3,1,4]
[4,3,2,6,8,5,7,1]=>[2,1,4,6,8,3,7,5]
[3,7,6,4,8,5,2,1]=>[8,4,3,1,2,7,6,5]
[3,1,6,8,5,4,7,2]=>[3,6,1,5,8,7,2,4]
[2,3,5,8,4,6,7,1]=>[3,5,6,8,1,2,7,4]
[3,5,2,8,4,6,7,1]=>[5,1,2,6,8,3,7,4]
[3,4,5,8,2,6,7,1]=>[1,2,3,5,6,8,7,4]
[5,4,2,8,3,6,7,1]=>[5,2,1,6,8,3,7,4]
[5,3,4,8,2,6,7,1]=>[2,3,1,5,6,8,7,4]
[2,5,4,8,3,6,7,1]=>[3,2,5,6,8,1,7,4]
[6,3,2,5,8,4,7,1]=>[2,4,6,1,8,3,7,5]
[6,1,8,3,5,4,7,2]=>[6,4,5,1,8,7,2,3]
[5,4,8,3,2,6,7,1]=>[2,1,5,4,6,8,7,3]
[5,8,2,3,4,6,7,1]=>[3,4,1,5,6,8,7,2]
[6,2,1,7,8,5,4,3]=>[4,8,7,2,1,6,3,5]
[7,4,6,8,3,2,5,1]=>[6,2,5,3,1,8,7,4]
[3,4,5,2,7,1,6,8]=>[1,2,4,3,6,7,5,8]
[7,5,6,1,2,3,8,4]=>[8,4,5,2,6,3,1,7]
[1,5,7,6,3,2,8,4]=>[2,5,8,6,4,1,3,7]
[8,4,6,7,3,2,5,1]=>[6,2,5,3,8,7,4,1]
[8,4,6,2,3,1,5,7]=>[4,2,6,5,7,3,8,1]
[7,5,2,1,4,3,8,6]=>[3,5,8,4,2,6,1,7]
[3,1,7,8,5,4,2,6]=>[7,6,1,5,3,8,2,4]
[3,4,5,2,1,8,6,7]=>[1,2,4,3,7,8,5,6]
[7,6,4,8,3,1,2,5]=>[6,3,7,5,2,1,8,4]
[7,4,8,5,6,1,2,3]=>[2,6,7,4,1,8,5,3]
[6,2,8,5,1,3,4,7]=>[5,6,7,2,1,4,8,3]
[3,2,7,8,6,1,4,5]=>[6,7,1,3,8,2,5,4]
[6,8,2,5,1,3,7,4]=>[8,3,5,1,6,4,7,2]
[6,7,4,2,1,5,3,8]=>[4,7,5,3,1,6,2,8]
[5,7,4,1,3,6,2,8]=>[5,1,7,4,3,6,2,8]
[4,2,7,5,1,8,3,6]=>[1,7,4,8,2,5,3,6]
[4,1,6,5,3,8,2,7]=>[1,5,4,3,7,8,2,6]
[1,5,4,6,3,8,2,7]=>[3,2,5,4,7,8,1,6]
[1,8,6,4,7,3,2,5]=>[4,7,6,3,8,5,1,2]
[4,7,1,8,6,3,5,2]=>[6,8,1,7,5,3,2,4]
[5,4,8,1,7,3,6,2]=>[2,1,6,8,7,4,5,3]
[4,3,8,6,2,1,7,5]=>[1,5,8,2,6,4,7,3]
[8,3,6,2,4,1,7,5]=>[2,4,5,8,6,3,7,1]
[7,8,3,2,4,6,5,1]=>[3,8,4,5,1,7,6,2]
[7,2,8,5,3,1,6,4]=>[5,8,6,2,4,1,7,3]
[2,5,4,8,7,3,6,1]=>[2,6,8,3,7,1,5,4]
[6,4,2,8,7,3,1,5]=>[2,7,6,1,8,3,5,4]
[3,6,8,1,7,4,2,5]=>[7,6,1,2,8,4,5,3]
[7,8,6,3,1,4,5,2]=>[6,4,8,5,1,7,3,2]
[3,8,6,1,7,5,2,4]=>[7,8,6,1,4,3,5,2]
[2,7,5,4,8,3,1,6]=>[4,3,7,6,1,2,8,5]
[6,8,7,5,2,1,3,4]=>[6,5,1,7,8,4,3,2]
[7,6,2,8,5,1,3,4]=>[6,7,8,3,2,1,5,4]
[1,5,7,6,2,8,4,3]=>[8,2,7,5,4,1,3,6]
[1,6,5,2,7,8,4,3]=>[5,3,2,8,7,1,4,6]
[4,7,8,5,6,2,3,1]=>[6,4,1,2,8,7,5,3]
[2,7,8,5,6,1,4,3]=>[8,6,4,2,7,1,5,3]
[6,7,8,4,2,1,5,3]=>[5,1,8,6,4,2,7,3]
[4,7,8,1,2,5,6,3]=>[1,6,8,4,5,2,7,3]
[8,6,4,1,2,5,7,3]=>[6,8,4,3,5,2,7,1]
[6,1,4,7,2,5,8,3]=>[3,6,8,5,2,1,4,7]
[6,7,8,3,5,4,2,1]=>[1,8,4,2,7,6,5,3]
[6,7,8,2,1,5,3,4]=>[4,7,1,8,5,2,6,3]
[5,6,3,2,7,4,1,8]=>[3,1,7,4,2,6,5,8]
[2,6,4,3,7,5,8,1]=>[3,6,4,1,2,5,8,7]
[7,2,3,6,1,8,4,5]=>[7,8,2,3,5,4,1,6]
[3,4,6,5,7,1,2,8]=>[6,1,2,4,3,7,5,8]
[7,6,2,3,5,4,8,1]=>[6,3,4,5,2,1,8,7]
[8,5,2,4,3,6,1,7]=>[5,3,4,2,7,6,8,1]
[8,5,7,2,4,1,6,3]=>[8,4,2,6,5,7,3,1]
[2,6,7,5,8,1,4,3]=>[2,8,6,4,1,3,7,5]
[7,4,8,2,1,5,6,3]=>[4,2,6,8,5,1,7,3]
[2,3,6,7,8,5,1,4]=>[3,7,4,8,1,2,6,5]
[8,3,7,1,6,4,2,5]=>[7,2,6,8,4,5,3,1]
[8,2,1,7,6,5,3,4]=>[7,8,6,2,5,3,4,1]
[5,7,4,1,6,8,2,3]=>[1,7,5,3,8,4,2,6]
[6,5,1,2,8,3,4,7]=>[6,7,8,3,2,1,4,5]
[3,7,4,8,6,1,2,5]=>[3,6,7,1,2,8,5,4]
[1,6,8,5,3,2,4,7]=>[6,5,2,7,4,8,1,3]
[6,2,7,4,3,8,1,5]=>[5,4,7,2,1,3,8,6]
[1,7,8,4,6,2,3,5]=>[6,4,7,2,8,5,1,3]
[7,1,8,4,6,2,3,5]=>[6,4,7,8,5,2,1,3]
[8,1,6,5,4,7,2,3]=>[7,5,4,3,8,2,6,1]
[4,1,6,8,7,3,2,5]=>[1,3,7,6,8,5,2,4]
[5,1,4,6,7,3,8,2]=>[3,4,1,6,5,8,2,7]
[7,1,3,4,6,2,8,5]=>[8,3,4,6,2,5,1,7]
[4,7,2,8,5,3,1,6]=>[7,1,6,3,5,2,8,4]
[8,7,1,4,6,3,2,5]=>[4,7,6,8,3,5,2,1]
[6,5,2,8,4,7,1,3]=>[7,5,2,1,8,3,6,4]
[1,4,7,5,8,6,3,2]=>[8,4,2,3,7,6,1,5]
[6,1,8,3,4,7,2,5]=>[4,5,7,1,8,6,2,3]
[1,8,6,3,5,2,7,4]=>[8,4,6,5,3,7,1,2]
[7,8,1,3,5,4,2,6]=>[7,4,6,3,5,1,8,2]
[4,7,1,6,8,3,5,2]=>[6,1,4,8,7,3,2,5]
[3,6,5,2,8,4,1,7]=>[7,4,1,3,2,6,8,5]
[8,2,5,6,3,1,7,4]=>[5,3,8,2,6,4,7,1]
[7,1,8,4,2,5,3,6]=>[7,5,4,6,8,2,1,3]
[1,4,8,7,5,2,6,3]=>[8,6,2,5,7,4,1,3]
[1,5,6,4,2,3,7,8]=>[5,2,6,4,1,3,7,8]
[5,7,3,6,8,4,2,1]=>[1,4,8,3,2,7,6,5]
[5,8,7,4,2,1,3,6]=>[1,6,5,7,4,8,3,2]
[3,1,5,2,7,8,6,4]=>[1,3,5,8,7,2,4,6]
[1,8,7,3,2,5,4,6]=>[4,7,5,6,8,3,1,2]
[1,2,5,4,8,7,3,6]=>[3,7,8,4,6,1,2,5]
[1,2,4,8,6,3,5,7]=>[6,7,3,5,8,1,2,4]
[1,5,2,4,7,3,8,6]=>[8,4,2,6,1,3,5,7]
[8,6,3,5,7,4,1,2]=>[7,3,4,2,8,6,5,1]
[8,5,3,2,1,4,7,6]=>[4,3,8,5,2,6,7,1]
[1,2,7,6,8,4,3,5]=>[7,6,4,3,8,1,2,5]
[1,6,3,2,5,7,8,4]=>[3,5,6,2,8,1,4,7]
[1,7,3,4,2,6,8,5]=>[3,4,6,8,5,1,2,7]
[1,6,3,5,8,4,2,7]=>[4,7,3,2,6,8,1,5]
[1,5,6,3,2,8,4,7]=>[4,2,7,3,8,1,5,6]
[1,2,5,8,4,6,3,7]=>[3,5,7,6,8,1,2,4]
[1,5,3,2,7,8,4,6]=>[7,3,2,5,8,1,4,6]
[4,1,8,6,2,3,7,5]=>[1,8,5,6,4,7,2,3]
[7,5,8,6,2,3,4,1]=>[5,2,6,1,8,7,4,3]
[1,7,6,4,3,8,5,2]=>[4,8,5,3,2,7,1,6]
[1,8,5,7,6,3,2,4]=>[3,7,6,8,5,4,1,2]
[1,4,7,3,6,8,5,2]=>[5,8,2,4,3,7,1,6]
[1,6,3,5,7,8,4,2]=>[4,5,2,8,3,7,1,6]
[1,5,6,3,2,7,8,4]=>[4,2,6,3,8,1,5,7]
[1,2,7,6,8,4,5,3]=>[6,4,3,8,7,1,2,5]
[1,8,4,7,5,3,2,6]=>[7,3,6,5,8,4,1,2]
[1,2,6,8,4,3,7,5]=>[5,3,8,6,7,1,2,4]
[5,3,7,2,6,4,1,8]=>[7,2,1,4,6,5,3,8]
[5,3,8,2,6,1,7,4]=>[8,2,1,4,6,5,7,3]
[7,6,2,5,3,4,1,8]=>[5,7,3,6,4,2,1,8]
[7,6,2,4,5,3,1,8]=>[4,7,3,6,5,2,1,8]
[7,6,2,4,3,5,1,8]=>[5,3,4,7,6,2,1,8]
[7,6,2,3,5,4,1,8]=>[7,3,4,6,5,2,1,8]
[8,4,2,7,1,6,3,5]=>[7,2,8,3,5,6,4,1]
[4,6,3,2,8,1,7,5]=>[1,3,8,4,2,6,7,5]
[8,7,6,1,5,3,2,4]=>[7,6,8,4,5,3,2,1]
[8,7,6,1,4,3,5,2]=>[6,5,8,4,7,3,2,1]
[8,7,6,1,3,5,4,2]=>[8,5,7,4,6,3,2,1]
[8,7,6,1,5,4,2,3]=>[7,8,6,4,5,3,2,1]
[8,6,2,7,1,5,3,4]=>[7,8,3,5,2,6,4,1]
[5,3,7,2,8,1,6,4]=>[8,2,1,4,6,3,7,5]
[8,3,5,4,2,1,6,7]=>[6,2,5,4,3,7,8,1]
[7,8,4,3,1,5,2,6]=>[7,5,4,3,6,1,8,2]
[8,6,3,7,1,5,2,4]=>[3,7,8,5,2,6,4,1]
[8,7,6,1,2,5,3,4]=>[7,8,4,5,6,3,2,1]
[8,7,6,1,2,5,4,3]=>[8,7,4,5,6,3,2,1]
[8,7,6,1,4,2,5,3]=>[8,6,4,5,7,3,2,1]
[4,7,5,8,6,1,3,2]=>[3,8,1,6,2,7,5,4]
[6,5,7,3,8,4,1,2]=>[4,2,1,7,3,8,6,5]
[8,7,5,4,1,2,6,3]=>[8,5,6,4,3,7,2,1]
[8,6,7,1,5,3,2,4]=>[7,6,8,4,2,5,3,1]
[7,5,6,1,3,4,2,8]=>[5,7,4,2,6,3,1,8]
[5,7,8,1,3,4,2,6]=>[5,1,7,4,6,2,8,3]
[7,8,5,1,3,4,2,6]=>[5,7,4,6,3,1,8,2]
[5,7,8,3,4,6,1,2]=>[1,4,7,5,2,8,6,3]
[7,5,1,3,4,2,6,8]=>[4,6,3,5,2,7,1,8]
[5,7,1,3,4,2,8,6]=>[4,5,1,8,3,6,2,7]
[7,3,5,6,4,8,1,2]=>[3,7,2,5,4,1,8,6]
[1,7,3,8,2,5,6,4]=>[6,8,3,5,2,7,1,4]
[1,5,3,7,8,4,6,2]=>[2,6,4,8,3,7,1,5]
[1,5,7,3,8,2,6,4]=>[2,8,4,6,3,7,1,5]
[7,1,5,3,6,2,4,8]=>[4,6,3,7,2,5,1,8]
[1,7,3,5,8,4,2,6]=>[4,7,3,6,2,8,1,5]
[1,3,7,5,8,6,2,4]=>[4,7,3,8,2,6,1,5]
[1,7,8,5,3,6,2,4]=>[5,7,4,2,8,6,1,3]
[1,7,5,8,3,4,2,6]=>[5,3,7,6,2,8,1,4]
[7,1,5,6,3,4,2,8]=>[5,3,7,6,2,4,1,8]
[7,3,5,6,4,1,2,8]=>[6,2,3,7,5,4,1,8]
[3,7,5,8,4,1,2,6]=>[6,3,7,1,5,2,8,4]
[7,5,6,8,1,3,4,2]=>[6,2,8,5,3,1,7,4]
[5,3,4,7,8,1,2,6]=>[2,3,1,6,7,4,8,5]
[5,3,7,6,8,1,2,4]=>[6,1,7,2,4,3,8,5]
[3,7,1,2,5,8,4,6]=>[1,5,7,8,3,4,2,6]
[3,1,2,7,5,8,4,6]=>[1,5,7,4,8,2,3,6]
[3,1,2,5,7,8,6,4]=>[1,5,8,4,7,2,3,6]
[7,3,1,5,4,6,2,8]=>[2,5,4,7,3,6,1,8]
[7,3,5,1,2,6,4,8]=>[2,7,4,5,3,6,1,8]
[3,7,1,2,8,5,6,4]=>[6,8,1,7,3,4,2,5]
[5,3,1,7,4,6,8,2]=>[2,5,1,6,4,8,3,7]
[5,3,7,1,2,6,8,4]=>[2,6,1,8,4,5,3,7]
[7,4,8,3,5,6,1,2]=>[2,4,7,5,1,8,6,3]
[2,4,7,3,5,6,1,8]=>[2,4,5,7,1,6,3,8]
[5,7,6,4,2,3,1,8]=>[1,5,7,6,4,3,2,8]
[7,4,8,2,5,6,1,3]=>[2,7,4,5,1,8,6,3]
[5,8,2,4,6,1,3,7]=>[6,3,1,4,7,5,8,2]
[6,1,4,8,5,2,7,3]=>[8,3,6,5,1,7,2,4]
[3,4,5,8,1,6,7,2]=>[1,2,3,6,8,5,7,4]
[6,8,7,4,2,1,5,3]=>[5,1,8,6,4,7,3,2]
[5,6,8,4,7,3,1,2]=>[1,2,7,4,8,6,5,3]
[3,1,6,8,5,2,7,4]=>[3,8,1,6,5,7,2,4]
[2,3,8,1,5,6,4,7]=>[5,7,1,2,4,6,8,3]
[5,4,8,1,2,6,7,3]=>[6,2,1,8,4,5,7,3]
[5,1,8,2,4,6,7,3]=>[5,6,1,8,4,7,2,3]
[4,1,8,2,3,6,7,5]=>[6,1,8,4,5,7,2,3]
[5,2,3,8,1,7,4,6]=>[7,8,2,1,3,5,6,4]
[2,3,5,7,1,6,4,8]=>[3,7,1,2,5,6,4,8]
[1,5,3,8,2,4,6,7]=>[3,5,2,6,7,8,1,4]
[8,6,2,7,5,1,4,3]=>[8,6,7,3,2,5,4,1]
[2,7,1,8,6,3,5,4]=>[8,6,7,5,1,3,2,4]
[5,7,6,1,3,2,8,4]=>[5,1,8,4,6,3,2,7]
[8,1,7,5,3,6,4,2]=>[8,5,4,7,6,2,3,1]
[8,6,5,3,7,4,2,1]=>[8,4,3,2,7,6,5,1]
[3,5,4,6,1,7,8,2]=>[3,1,2,6,4,8,5,7]
[8,1,5,4,6,3,7,2]=>[4,3,6,5,8,2,7,1]
[2,7,1,5,6,4,3,8]=>[4,7,6,1,3,5,2,8]
[8,4,6,3,1,7,2,5]=>[2,7,4,8,5,3,6,1]
[8,4,2,5,6,3,7,1]=>[4,2,6,3,5,8,7,1]
[8,6,2,7,5,4,3,1]=>[8,7,6,3,2,5,4,1]
[5,4,7,2,8,6,1,3]=>[2,1,7,8,4,3,6,5]
[3,5,6,4,1,7,2,8]=>[2,7,1,5,4,3,6,8]
[2,5,6,1,7,4,3,8]=>[2,7,6,1,4,3,5,8]
[2,7,1,8,6,5,4,3]=>[8,7,6,5,1,3,2,4]
[3,7,6,1,8,5,4,2]=>[8,7,6,1,4,3,2,5]
[6,2,8,3,1,4,5,7]=>[5,2,4,6,1,7,8,3]
[2,7,8,3,1,4,5,6]=>[5,4,6,7,1,2,8,3]
[1,5,3,2,8,6,7,4]=>[6,2,8,3,7,1,4,5]
[1,8,5,3,2,6,7,4]=>[4,6,3,8,5,7,1,2]
[1,7,8,5,6,3,2,4]=>[7,6,4,2,8,5,1,3]
[1,5,6,7,3,2,8,4]=>[2,5,3,8,6,1,4,7]
[1,7,5,2,3,4,8,6]=>[8,4,5,3,6,1,2,7]
[1,7,5,2,4,8,6,3]=>[8,5,3,7,4,1,2,6]
[1,6,7,8,3,2,4,5]=>[6,5,2,7,3,8,1,4]
[1,4,8,6,2,3,5,7]=>[2,5,6,7,4,8,1,3]
[1,8,4,5,6,7,2,3]=>[3,4,7,5,8,6,1,2]
[1,2,8,6,3,4,5,7]=>[5,6,7,4,8,1,2,3]
[1,2,8,6,3,5,7,4]=>[6,8,5,4,7,1,2,3]
[1,2,7,8,4,3,5,6]=>[6,5,7,3,8,1,2,4]
[1,8,6,7,4,2,3,5]=>[6,7,5,3,8,4,1,2]
[1,6,7,8,4,2,3,5]=>[6,2,7,5,3,8,1,4]
[1,6,7,8,3,4,2,5]=>[5,2,7,6,3,8,1,4]
[1,7,4,2,3,8,5,6]=>[7,3,8,4,5,1,2,6]
[1,7,8,4,2,3,5,6]=>[5,6,4,7,2,8,1,3]
[1,7,3,5,6,2,8,4]=>[4,8,3,6,5,1,2,7]
[1,7,8,3,4,2,5,6]=>[4,6,5,7,2,8,1,3]
[1,2,3,7,8,5,4,6]=>[7,6,4,8,1,2,3,5]
[1,2,7,4,6,3,8,5]=>[8,4,6,5,1,2,3,7]
[1,7,4,5,2,3,8,6]=>[3,8,5,4,6,1,2,7]
[1,7,8,4,5,2,3,6]=>[6,4,7,5,2,8,1,3]
[1,7,8,3,4,5,2,6]=>[4,5,7,6,2,8,1,3]
[1,2,8,4,5,6,3,7]=>[4,5,7,6,8,1,2,3]
[1,8,4,5,6,2,3,7]=>[3,6,4,7,5,8,1,2]
[5,8,2,7,3,4,1,6]=>[5,1,7,3,6,8,4,2]
[6,8,7,2,3,4,1,5]=>[4,5,1,7,6,8,3,2]
[3,8,7,5,2,6,1,4]=>[5,7,4,8,1,6,3,2]
[4,8,7,3,2,5,1,6]=>[5,1,4,7,6,8,3,2]
[5,3,8,1,6,7,4,2]=>[5,1,8,2,7,4,6,3]
[5,8,2,1,3,7,6,4]=>[8,3,1,7,4,5,6,2]
[5,1,8,2,6,4,7,3]=>[6,5,1,8,4,7,2,3]
[3,1,8,4,6,2,7,5]=>[8,1,4,6,5,7,2,3]
[8,4,1,6,5,2,3,7]=>[6,2,7,5,3,4,8,1]
[1,8,7,6,4,3,5,2]=>[6,5,8,7,4,3,1,2]
[6,1,8,7,5,3,4,2]=>[6,1,8,7,5,4,2,3]
[6,8,7,3,2,4,1,5]=>[5,4,1,7,6,8,3,2]
[2,3,7,5,6,8,4,1]=>[4,5,3,8,1,2,7,6]
[3,2,4,7,5,8,1,6]=>[1,5,7,2,3,4,8,6]
[2,8,7,6,4,5,1,3]=>[7,5,8,6,4,1,3,2]
[4,8,7,6,3,1,5,2]=>[8,6,1,5,7,4,3,2]
[3,5,2,4,7,6,8,1]=>[6,1,3,2,4,5,8,7]
[5,3,2,6,4,7,8,1]=>[2,5,3,1,4,6,8,7]
[5,3,2,6,7,4,8,1]=>[2,4,1,6,3,5,8,7]
[5,3,2,7,6,4,8,1]=>[6,2,1,5,3,4,8,7]
[7,3,5,2,8,4,6,1]=>[6,2,3,8,4,1,7,5]
[3,5,2,7,4,6,8,1]=>[5,1,2,6,3,4,8,7]
[3,2,5,7,4,6,8,1]=>[1,3,5,6,2,4,8,7]
[3,2,7,5,4,8,6,1]=>[4,8,1,5,2,3,7,6]
[3,7,5,2,4,8,6,1]=>[8,4,1,3,5,2,7,6]
[2,3,7,5,4,8,6,1]=>[4,8,5,1,2,3,7,6]
[8,3,5,1,6,4,7,2]=>[6,2,5,3,8,4,7,1]
[8,4,5,6,1,3,7,2]=>[2,6,3,8,5,4,7,1]
[3,4,7,6,8,2,5,1]=>[6,4,1,2,3,8,7,5]
[5,2,8,4,1,3,6,7]=>[5,6,2,1,4,7,8,3]
[3,8,5,2,1,4,6,7]=>[5,1,4,6,3,7,8,2]
[7,6,4,1,8,2,5,3]=>[8,6,3,7,4,2,1,5]
[7,5,4,2,1,6,3,8]=>[4,7,5,3,2,6,1,8]
[8,1,6,7,3,4,2,5]=>[5,7,6,3,8,2,4,1]
[8,2,1,6,7,4,3,5]=>[7,6,2,4,8,3,5,1]
[5,2,8,6,3,7,1,4]=>[5,1,7,4,8,2,6,3]
[7,6,8,1,2,5,4,3]=>[8,7,4,5,2,1,6,3]
[2,1,3,4,8,5,7,6]=>[8,1,6,7,2,3,4,5]
[5,7,1,2,6,8,3,4]=>[7,5,1,8,3,4,2,6]
[1,5,2,3,6,8,7,4]=>[8,5,2,7,1,3,4,6]
[3,5,7,4,1,8,2,6]=>[2,7,1,4,8,5,3,6]
[8,6,4,7,5,1,2,3]=>[6,3,7,2,8,5,4,1]
[8,6,4,1,2,5,3,7]=>[7,4,5,3,6,2,8,1]
[2,8,4,3,1,6,5,7]=>[4,3,7,1,5,6,8,2]
[3,8,4,6,1,5,2,7]=>[3,7,1,5,6,4,8,2]
[8,3,5,6,1,4,7,2]=>[6,2,3,8,5,4,7,1]
[6,8,7,3,5,4,2,1]=>[1,8,4,7,6,5,3,2]
[3,1,2,8,5,7,4,6]=>[1,5,7,8,6,2,3,4]
[7,3,1,2,5,8,4,6]=>[5,2,7,8,3,4,1,6]
[8,3,5,7,2,1,4,6]=>[6,2,5,3,7,8,4,1]
[2,1,3,8,5,7,4,6]=>[5,7,8,1,6,2,3,4]
[7,3,1,2,8,4,5,6]=>[6,2,7,8,3,4,1,5]
[2,1,4,7,6,3,5,8]=>[6,7,1,3,5,2,4,8]
[7,2,4,5,3,8,1,6]=>[3,5,2,4,7,1,8,6]
[8,4,2,5,6,7,3,1]=>[4,2,5,8,3,7,6,1]
[5,4,1,6,3,7,8,2]=>[5,4,2,1,6,8,3,7]
[4,5,1,3,6,7,8,2]=>[4,1,5,2,6,8,3,7]
[6,1,7,5,4,8,2,3]=>[7,5,4,3,1,8,2,6]
[5,7,2,1,8,4,3,6]=>[7,3,1,6,8,4,2,5]
[5,6,2,1,8,3,4,7]=>[3,6,1,7,2,8,4,5]
[2,4,8,6,5,7,3,1]=>[5,4,8,2,7,1,6,3]
[6,2,8,4,7,5,1,3]=>[4,7,1,8,6,2,5,3]
[4,5,7,3,6,8,1,2]=>[1,2,4,7,5,3,8,6]
[3,4,7,8,6,5,1,2]=>[7,3,8,1,2,6,5,4]
[1,4,7,2,6,8,5,3]=>[5,8,2,7,4,1,3,6]
[2,3,7,6,5,1,4,8]=>[6,7,5,1,2,4,3,8]
[3,2,7,6,4,1,5,8]=>[6,1,5,7,2,4,3,8]
[6,2,3,5,7,1,4,8]=>[6,2,3,4,1,7,5,8]
[7,8,1,2,5,6,4,3]=>[5,8,7,3,4,1,6,2]
[7,1,3,6,8,5,2,4]=>[7,4,8,3,6,2,1,5]
[4,2,8,5,1,6,3,7]=>[1,7,5,2,4,6,8,3]
[6,5,8,1,4,2,3,7]=>[6,7,4,2,1,5,8,3]
[3,8,2,4,5,1,6,7]=>[1,3,4,6,5,7,8,2]
[3,6,2,4,1,5,7,8]=>[1,3,5,4,6,2,7,8]
[2,3,8,4,1,6,5,7]=>[4,7,1,2,5,6,8,3]
[4,5,7,3,1,6,2,8]=>[1,2,7,5,4,6,3,8]
[2,3,1,4,8,5,7,6]=>[8,1,2,6,7,3,4,5]
[4,2,6,1,5,8,7,3]=>[1,8,5,2,3,7,4,6]
[7,5,1,8,4,3,6,2]=>[6,5,2,8,7,3,1,4]
[3,1,8,5,7,6,4,2]=>[8,4,7,1,6,5,2,3]
[5,1,8,7,4,6,3,2]=>[1,5,8,7,6,4,2,3]
[2,4,8,7,5,1,3,6]=>[6,7,2,5,8,1,4,3]
[3,5,7,6,1,8,4,2]=>[8,2,7,1,5,4,3,6]
[3,5,7,6,2,8,4,1]=>[8,2,5,1,4,3,7,6]
[1,5,3,2,8,7,6,4]=>[2,8,7,3,6,1,4,5]
[6,1,4,3,8,7,5,2]=>[8,3,7,4,1,6,2,5]
[6,3,1,8,7,4,2,5]=>[7,2,6,1,8,5,3,4]
[6,3,5,2,1,8,7,4]=>[8,2,4,3,1,7,5,6]
[2,8,4,1,3,7,6,5]=>[3,8,7,1,4,5,6,2]
[3,8,1,4,7,6,5,2]=>[8,7,1,4,6,3,5,2]
[6,2,3,8,7,5,4,1]=>[8,7,6,2,1,3,5,4]
[4,1,3,5,8,7,6,2]=>[1,8,7,3,4,6,2,5]
[3,4,7,5,8,1,2,6]=>[6,1,2,4,7,3,8,5]
[2,7,8,3,4,1,5,6]=>[4,6,5,7,1,2,8,3]
[2,8,6,7,5,4,3,1]=>[3,8,7,6,5,1,4,2]
[7,2,6,8,1,4,3,5]=>[7,5,6,2,3,1,8,4]
[5,3,6,2,8,4,7,1]=>[6,2,1,3,8,4,7,5]
[8,1,6,3,7,4,5,2]=>[6,8,4,3,7,2,5,1]
[2,4,3,7,1,8,6,5]=>[8,2,7,1,3,5,4,6]
[2,6,5,7,3,8,4,1]=>[3,2,8,5,1,4,7,6]
[6,8,2,7,4,1,5,3]=>[8,6,3,1,5,7,4,2]
[6,1,7,8,5,3,2,4]=>[7,6,3,1,8,5,2,4]
[2,6,5,4,7,1,8,3]=>[4,3,2,8,1,6,5,7]
[5,8,3,4,6,1,7,2]=>[3,1,4,8,6,5,7,2]
[6,1,7,4,2,5,8,3]=>[6,4,8,5,2,1,3,7]
[6,8,7,1,5,4,2,3]=>[7,1,8,6,4,5,3,2]
[4,8,3,1,5,7,6,2]=>[1,3,8,5,7,4,6,2]
[5,3,8,2,7,1,6,4]=>[8,2,1,4,6,7,5,3]
[8,3,4,5,2,7,1,6]=>[2,3,5,4,7,8,6,1]
[8,2,6,7,1,5,3,4]=>[7,8,5,2,3,6,4,1]
[7,1,5,2,6,3,4,8]=>[6,7,4,2,3,5,1,8]
[3,7,1,5,2,6,8,4]=>[6,1,4,8,3,5,2,7]
[6,7,1,8,3,4,5,2]=>[5,6,1,8,7,3,2,4]
[3,7,1,6,8,4,5,2]=>[6,4,8,1,7,3,2,5]
[3,6,5,2,7,1,4,8]=>[4,6,1,3,2,7,5,8]
[6,8,3,4,7,1,5,2]=>[3,4,1,8,6,7,5,2]
[3,7,1,6,5,2,8,4]=>[8,6,1,5,3,4,2,7]
[8,3,5,2,7,1,6,4]=>[8,2,4,3,6,7,5,1]
[7,1,8,4,6,3,5,2]=>[4,6,8,7,5,2,1,3]
[3,8,6,4,7,1,5,2]=>[4,8,6,1,3,7,5,2]
[3,7,1,4,8,6,5,2]=>[8,7,1,4,6,3,2,5]
[3,7,1,4,5,2,8,6]=>[1,4,5,8,3,6,2,7]
[2,3,7,6,5,8,1,4]=>[7,5,4,1,2,3,8,6]
[4,2,5,3,7,6,1,8]=>[3,1,7,2,4,6,5,8]
[6,2,4,3,7,5,1,8]=>[3,7,2,4,1,6,5,8]
[1,3,6,4,7,5,2,8]=>[7,4,2,3,6,1,5,8]
[8,2,5,3,6,4,1,7]=>[7,4,2,3,6,5,8,1]
[7,2,5,3,6,4,1,8]=>[7,4,2,3,6,5,1,8]
[6,2,5,3,7,4,1,8]=>[7,4,2,3,1,6,5,8]
[4,2,6,3,7,5,1,8]=>[1,7,4,2,3,6,5,8]
[5,2,7,3,6,4,1,8]=>[7,4,1,6,2,5,3,8]
[7,3,6,2,5,4,1,8]=>[7,2,4,6,5,3,1,8]
[6,3,8,2,5,4,1,7]=>[7,2,4,1,6,5,8,3]
[7,3,1,4,6,5,2,8]=>[2,7,4,6,3,5,1,8]
[8,3,7,2,5,4,1,6]=>[7,2,4,6,5,8,3,1]
[5,2,8,3,6,4,1,7]=>[7,4,1,6,2,5,8,3]
[3,2,8,4,6,5,1,7]=>[7,1,4,6,2,5,8,3]
[1,4,7,3,6,5,2,8]=>[7,2,4,6,5,1,3,8]
[8,2,5,4,1,6,3,7]=>[7,5,2,4,3,6,8,1]
[8,2,6,4,1,5,3,7]=>[7,5,2,4,6,3,8,1]
[1,4,8,3,7,5,2,6]=>[7,2,4,6,8,5,1,3]
[6,2,1,4,8,5,3,7]=>[7,2,4,6,1,8,3,5]
[5,2,1,4,8,6,3,7]=>[7,2,4,1,6,8,3,5]
[3,2,1,5,8,6,4,7]=>[1,7,2,4,6,8,3,5]
[4,2,8,3,7,5,1,6]=>[1,7,4,6,8,2,5,3]
[5,2,8,3,7,4,1,6]=>[7,4,1,6,8,2,5,3]
[8,3,7,2,6,4,1,5]=>[7,2,4,6,8,5,3,1]
[7,3,1,4,8,5,2,6]=>[2,7,4,6,8,3,1,5]
[1,3,7,4,8,5,2,6]=>[7,4,6,2,3,8,1,5]
[8,2,6,3,7,4,1,5]=>[7,4,6,2,3,8,5,1]
[7,2,6,3,8,4,1,5]=>[7,4,6,2,3,1,8,5]
[5,2,7,3,8,4,1,6]=>[7,4,1,6,2,3,8,5]
[3,2,7,4,8,5,1,6]=>[7,1,4,6,2,3,8,5]
[5,2,6,3,8,4,1,7]=>[7,4,2,1,3,6,8,5]
[6,2,5,3,8,4,1,7]=>[7,4,2,3,1,6,8,5]
[7,2,5,3,8,4,1,6]=>[7,4,2,3,6,1,8,5]
[8,2,5,3,7,4,1,6]=>[7,4,2,3,6,8,5,1]
[1,3,6,4,8,5,2,7]=>[7,4,2,3,6,8,1,5]
[1,3,5,4,8,6,2,7]=>[3,7,2,4,6,8,1,5]
[8,2,4,3,7,5,1,6]=>[3,7,2,4,6,8,5,1]
[7,2,4,3,8,5,1,6]=>[3,7,2,4,6,1,8,5]
[6,2,4,3,8,5,1,7]=>[3,7,2,4,1,6,8,5]
[5,2,4,3,8,6,1,7]=>[3,7,2,1,4,6,8,5]
[4,2,5,3,8,6,1,7]=>[3,1,7,2,4,6,8,5]
[4,2,5,3,1,7,6,8]=>[4,2,1,3,7,5,6,8]
[6,2,4,3,1,7,5,8]=>[4,2,3,7,5,1,6,8]
[7,2,4,3,1,6,5,8]=>[4,2,3,7,5,6,1,8]
[8,5,1,3,6,4,2,7]=>[7,4,6,3,2,5,8,1]
[8,4,1,3,6,5,2,7]=>[7,4,2,6,3,5,8,1]
[1,5,2,4,7,6,3,8]=>[7,4,2,6,1,3,5,8]
[7,2,5,3,1,6,4,8]=>[4,7,2,5,3,6,1,8]
[6,2,5,3,1,7,4,8]=>[4,7,2,5,3,1,6,8]
[4,2,6,3,1,7,5,8]=>[4,1,7,2,5,3,6,8]
[3,2,6,4,1,7,5,8]=>[1,4,7,2,5,3,6,8]
[3,2,7,4,1,6,5,8]=>[1,4,7,2,5,6,3,8]
[4,2,7,3,1,6,5,8]=>[4,1,7,2,5,6,3,8]
[5,2,7,3,1,6,4,8]=>[4,7,2,1,5,6,3,8]
[6,2,7,3,1,5,4,8]=>[4,7,2,5,1,6,3,8]
[7,2,6,3,1,5,4,8]=>[4,7,2,5,6,3,1,8]
[1,5,2,4,8,6,3,7]=>[7,4,2,6,8,1,3,5]
[8,4,1,3,7,5,2,6]=>[7,4,2,6,8,3,5,1]
[6,2,1,5,3,7,4,8]=>[7,2,5,3,4,1,6,8]
[3,2,1,6,4,7,5,8]=>[1,7,2,5,3,4,6,8]
[3,2,8,5,1,6,4,7]=>[7,1,5,2,4,6,8,3]
[6,2,8,4,1,5,3,7]=>[7,5,2,4,1,6,8,3]
[8,3,7,4,1,5,2,6]=>[7,2,5,4,6,8,3,1]
[7,1,3,2,5,6,4,8]=>[3,5,7,2,4,6,1,8]
[6,3,5,2,4,8,1,7]=>[2,4,5,3,1,7,8,6]
[1,5,2,8,7,4,3,6]=>[2,7,6,8,5,1,3,4]
[5,7,2,8,1,4,3,6]=>[7,3,1,5,6,2,8,4]
[5,8,2,7,1,4,3,6]=>[7,3,1,5,6,8,4,2]
[4,8,3,1,5,2,7,6]=>[1,5,3,8,4,6,7,2]
[7,1,5,3,2,6,8,4]=>[4,6,3,8,2,5,1,7]
[3,1,5,7,8,6,2,4]=>[7,1,3,4,8,6,2,5]
[8,6,2,3,1,5,7,4]=>[3,4,6,8,5,2,7,1]
[2,5,1,7,4,8,6,3]=>[2,8,5,1,4,7,3,6]
[8,6,7,3,5,2,1,4]=>[4,7,6,2,8,5,3,1]
[1,4,2,7,3,6,8,5]=>[2,6,8,5,1,3,4,7]
[3,2,1,7,8,5,4,6]=>[7,1,6,2,4,8,3,5]
[7,3,4,2,1,5,8,6]=>[2,4,3,8,5,6,1,7]
[1,7,6,3,2,4,8,5]=>[4,8,5,6,3,1,2,7]
[2,1,6,4,7,8,5,3]=>[5,3,8,1,4,7,2,6]
[1,6,3,2,4,7,8,5]=>[3,6,8,4,1,2,5,7]
[1,2,3,7,5,8,4,6]=>[5,7,4,8,1,2,3,6]
[1,8,5,3,2,4,7,6]=>[4,8,5,3,6,7,1,2]
[4,7,8,1,5,6,2,3]=>[7,1,5,8,4,2,6,3]
[3,6,7,1,8,4,2,5]=>[7,6,1,2,8,4,3,5]
[1,3,7,6,2,4,5,8]=>[5,6,7,2,4,1,3,8]
[2,7,3,8,4,5,6,1]=>[5,6,8,3,1,2,7,4]
[7,1,4,3,8,5,6,2]=>[3,6,8,4,7,2,1,5]
[5,6,2,7,8,3,4,1]=>[1,6,4,2,8,3,7,5]
[7,4,1,8,5,6,2,3]=>[2,7,5,8,6,3,1,4]
[7,2,5,8,1,6,3,4]=>[7,3,8,2,5,1,6,4]
[6,4,8,1,5,7,2,3]=>[2,7,5,1,8,4,6,3]
[2,7,4,1,3,6,8,5]=>[6,3,8,1,4,5,2,7]
[5,2,1,8,4,6,7,3]=>[5,6,1,8,2,7,3,4]
[6,2,1,4,7,5,8,3]=>[6,2,4,5,1,8,3,7]
[1,2,8,4,6,3,5,7]=>[4,6,7,5,8,1,2,3]
[2,6,1,5,4,7,3,8]=>[5,4,7,1,3,2,6,8]
[1,2,8,5,4,6,3,7]=>[5,4,7,6,8,1,2,3]
[1,3,6,8,4,5,7,2]=>[5,3,6,8,2,7,1,4]
[1,2,8,4,6,3,7,5]=>[8,4,6,5,7,1,2,3]
[4,6,3,5,7,8,1,2]=>[1,3,4,2,7,5,8,6]
[2,7,6,5,1,4,8,3]=>[6,8,5,4,1,3,2,7]
[2,7,4,8,1,3,6,5]=>[3,8,5,6,1,2,7,4]
[2,3,6,8,4,1,7,5]=>[5,3,8,1,2,6,7,4]
[1,2,6,8,4,7,5,3]=>[3,8,5,7,6,1,2,4]
[1,7,2,8,6,3,5,4]=>[8,6,7,5,3,1,2,4]
[2,3,8,5,4,7,1,6]=>[5,4,7,8,1,2,6,3]
[1,2,8,4,7,3,5,6]=>[4,6,7,8,5,1,2,3]
[2,6,1,4,8,3,7,5]=>[8,4,6,1,2,7,3,5]
[3,7,6,5,2,1,4,8]=>[6,5,7,1,4,3,2,8]
[2,5,6,1,4,8,7,3]=>[2,8,5,1,3,7,4,6]
[8,4,2,3,7,1,6,5]=>[8,3,2,4,6,7,5,1]
[5,2,4,8,7,3,1,6]=>[7,3,1,6,8,2,5,4]
[8,3,2,6,7,4,1,5]=>[7,2,6,3,4,8,5,1]
[3,2,4,6,7,8,1,5]=>[1,4,7,2,3,5,8,6]
[5,2,6,8,1,3,7,4]=>[8,5,2,1,3,6,7,4]
[4,8,1,6,3,7,5,2]=>[8,1,5,4,7,3,6,2]
[7,1,5,2,6,4,3,8]=>[7,6,4,2,3,5,1,8]
[8,3,5,2,6,1,4,7]=>[2,4,6,3,7,5,8,1]
[1,8,5,6,2,7,4,3]=>[3,8,7,5,4,6,1,2]
[8,3,2,4,6,7,1,5]=>[2,7,3,4,5,8,6,1]
[4,2,7,6,1,8,5,3]=>[8,1,7,5,2,4,3,6]
[7,2,4,8,6,3,5,1]=>[6,8,3,7,2,1,5,4]
[7,3,2,1,8,5,4,6]=>[2,7,3,6,8,4,1,5]
[7,3,2,1,6,4,8,5]=>[2,8,3,6,4,5,1,7]
[3,6,5,2,1,8,4,7]=>[4,7,1,3,2,8,5,6]
[6,7,2,4,3,5,8,1]=>[5,3,4,1,6,2,8,7]
[4,5,3,7,2,1,6,8]=>[1,3,2,6,5,7,4,8]
[4,3,8,2,1,5,7,6]=>[2,1,4,8,5,6,7,3]
[4,3,2,8,1,6,7,5]=>[2,1,6,8,3,5,7,4]
[4,5,8,3,2,7,1,6]=>[1,2,5,4,7,8,6,3]
[6,8,5,2,7,3,4,1]=>[6,1,8,4,3,7,5,2]
[5,4,7,8,2,3,6,1]=>[2,1,5,6,3,8,7,4]
[4,3,8,2,1,6,7,5]=>[2,1,4,6,8,5,7,3]
[3,6,7,4,5,2,8,1]=>[4,2,6,1,5,3,8,7]
[3,5,7,4,6,2,8,1]=>[2,4,6,1,5,3,8,7]
[5,3,7,6,2,4,8,1]=>[5,1,6,2,4,3,8,7]
[6,4,7,8,3,1,5,2]=>[8,2,1,6,5,3,7,4]
[8,4,7,3,1,5,6,2]=>[2,6,4,8,5,7,3,1]
[5,6,7,1,8,3,4,2]=>[1,6,2,8,7,4,3,5]
[7,1,8,6,2,5,4,3]=>[8,7,5,6,4,2,1,3]
[8,5,1,7,6,4,2,3]=>[7,2,8,6,5,3,4,1]
[1,5,8,2,6,4,7,3]=>[2,6,5,8,4,7,1,3]
[1,5,7,4,6,8,3,2]=>[2,4,5,3,8,7,1,6]
[1,4,7,5,6,8,3,2]=>[4,5,2,3,8,7,1,6]
[5,6,7,4,8,1,3,2]=>[1,2,8,6,4,3,7,5]
[8,1,2,6,4,5,7,3]=>[5,6,4,8,2,3,7,1]
[4,8,1,7,2,5,6,3]=>[1,6,8,5,7,3,4,2]
[2,6,7,1,5,4,8,3]=>[6,5,2,8,1,4,3,7]
[3,2,7,6,5,8,1,4]=>[7,5,1,4,2,3,8,6]
[1,7,3,4,5,8,2,6]=>[3,4,5,7,2,8,1,6]
[7,1,8,4,5,6,3,2]=>[4,5,8,7,6,2,1,3]
[1,2,7,4,5,8,3,6]=>[4,5,7,3,8,1,2,6]
[6,7,3,2,5,8,1,4]=>[3,7,4,1,5,2,8,6]
[6,1,8,4,5,3,7,2]=>[4,6,5,1,8,7,2,3]
[4,6,2,5,1,8,7,3]=>[1,4,8,3,2,7,5,6]
[5,1,4,6,2,8,7,3]=>[3,4,1,8,7,2,5,6]
[7,3,5,2,1,6,8,4]=>[2,4,6,3,8,5,1,7]
[8,5,1,2,6,3,7,4]=>[8,6,3,4,2,5,7,1]
[1,5,8,7,4,6,3,2]=>[5,8,2,7,6,4,1,3]
[5,7,2,1,3,6,8,4]=>[3,6,1,8,4,5,2,7]
[3,7,2,6,8,1,5,4]=>[8,6,1,3,4,2,7,5]
[7,4,8,6,5,1,3,2]=>[8,2,6,1,7,5,4,3]
[2,7,6,8,5,1,4,3]=>[8,6,3,2,7,1,5,4]
[1,6,4,5,7,3,8,2]=>[3,4,2,6,5,8,1,7]
[1,5,4,7,8,6,2,3]=>[2,7,3,4,8,6,1,5]
[7,3,1,6,8,2,5,4]=>[8,2,6,4,7,3,1,5]
[7,1,6,8,5,2,4,3]=>[8,6,3,7,5,2,1,4]
[3,5,8,7,6,4,1,2]=>[7,8,2,6,1,5,4,3]
[1,5,7,8,6,2,4,3]=>[8,2,6,3,7,5,1,4]
[3,6,2,1,4,7,8,5]=>[1,3,6,8,4,2,5,7]
[6,8,2,7,5,4,3,1]=>[1,8,7,6,3,5,4,2]
[5,8,1,7,6,4,3,2]=>[8,1,7,6,5,3,4,2]
[8,6,3,2,1,5,4,7]=>[4,3,7,5,6,2,8,1]
[8,5,3,2,4,1,7,6]=>[4,3,5,2,8,6,7,1]
[7,5,2,4,3,6,8,1]=>[5,3,4,2,6,1,8,7]
[8,5,1,4,6,3,2,7]=>[4,7,6,3,2,5,8,1]
[8,5,1,6,3,4,2,7]=>[5,7,6,3,2,4,8,1]
[8,4,3,6,1,5,2,7]=>[3,2,7,5,6,4,8,1]
[8,4,3,5,2,1,7,6]=>[3,2,5,4,8,6,7,1]
[6,4,3,2,8,7,1,5]=>[3,2,7,1,8,4,6,5]
[8,5,1,4,3,7,2,6]=>[5,4,7,2,8,3,6,1]
[8,5,4,2,1,3,7,6]=>[4,8,5,3,2,6,7,1]
[4,7,3,6,1,8,5,2]=>[8,1,3,7,5,4,2,6]
[7,6,2,4,1,5,8,3]=>[6,3,4,8,5,2,1,7]
[8,1,6,3,7,4,2,5]=>[7,4,6,3,8,2,5,1]
[5,3,8,2,6,7,1,4]=>[7,2,1,4,5,8,6,3]
[8,2,5,1,7,6,3,4]=>[7,3,8,2,6,4,5,1]
[8,2,4,6,3,7,1,5]=>[3,5,7,2,4,8,6,1]
[7,2,6,4,3,5,8,1]=>[5,4,6,2,3,1,8,7]
[7,3,6,2,4,5,8,1]=>[2,4,5,6,3,1,8,7]
[8,3,7,2,1,4,6,5]=>[2,4,8,5,6,7,3,1]
[7,6,4,1,3,2,8,5]=>[5,8,4,3,6,2,1,7]
[7,3,8,2,1,5,6,4]=>[2,4,6,8,5,1,7,3]
[6,2,5,7,4,3,8,1]=>[3,6,5,2,1,4,8,7]
[6,2,5,4,8,7,1,3]=>[4,3,7,1,8,2,6,5]
[7,2,4,8,5,1,6,3]=>[8,3,6,2,5,1,7,4]
[4,2,7,6,8,5,1,3]=>[7,1,4,3,8,2,6,5]
[7,1,6,2,8,5,4,3]=>[8,7,6,4,2,3,1,5]
[7,1,6,3,8,5,2,4]=>[7,8,4,3,6,2,1,5]
[7,2,6,8,1,3,5,4]=>[8,5,6,2,3,1,7,4]
[7,2,8,5,1,3,6,4]=>[8,5,6,2,4,1,7,3]
[7,1,8,5,3,2,6,4]=>[5,8,6,4,7,2,1,3]
[7,1,8,2,5,6,4,3]=>[5,8,7,4,6,2,1,3]
[6,1,5,8,7,2,4,3]=>[3,8,6,1,7,5,2,4]
[6,1,5,7,4,8,3,2]=>[3,5,4,1,8,7,2,6]
[6,1,5,7,8,3,4,2]=>[3,6,4,1,8,7,2,5]
[4,6,7,3,1,8,5,2]=>[4,1,2,8,7,5,3,6]
[4,2,6,3,1,8,7,5]=>[1,8,4,2,3,7,5,6]
[6,1,4,2,5,8,7,3]=>[3,8,5,7,2,1,4,6]
[1,5,3,8,4,6,2,7]=>[5,2,7,3,6,8,1,4]
[7,2,3,5,8,4,1,6]=>[4,7,2,3,6,1,8,5]
[7,6,4,2,8,5,1,3]=>[7,3,8,4,2,1,6,5]
[1,7,6,4,8,5,3,2]=>[8,4,3,2,7,6,1,5]
[8,7,4,2,1,5,6,3]=>[4,6,3,8,5,7,2,1]
[8,2,3,5,1,4,6,7]=>[2,3,5,6,4,7,8,1]
[8,7,4,1,3,2,6,5]=>[5,8,4,3,6,7,2,1]
[7,1,4,8,3,6,2,5]=>[3,5,7,8,6,2,1,4]
[4,1,8,5,7,6,2,3]=>[1,4,7,8,6,5,2,3]
[3,7,5,8,4,2,1,6]=>[3,7,6,1,5,2,8,4]
[6,1,5,8,3,4,2,7]=>[5,3,7,6,1,8,2,4]
[6,7,5,1,3,2,4,8]=>[6,4,5,1,7,3,2,8]
[5,2,6,1,7,3,4,8]=>[6,7,2,1,4,3,5,8]
[4,2,6,8,3,7,1,5]=>[1,5,3,7,8,2,6,4]
[6,8,5,1,4,2,3,7]=>[6,7,4,1,5,3,8,2]
[7,8,4,5,1,3,6,2]=>[6,3,8,5,4,1,7,2]
[1,7,8,5,3,4,6,2]=>[5,6,4,2,8,7,1,3]
[1,5,8,3,6,4,7,2]=>[2,6,4,5,8,7,1,3]
[6,3,8,1,4,2,7,5]=>[2,5,8,4,1,6,7,3]
[4,8,1,5,6,3,7,2]=>[1,4,6,5,8,3,7,2]
[1,8,2,6,5,3,7,4]=>[8,6,5,3,4,7,1,2]
[3,8,1,7,2,6,5,4]=>[8,7,1,5,6,3,4,2]
[7,3,8,1,2,6,5,4]=>[8,2,7,4,5,1,6,3]
[8,1,4,2,3,5,7,6]=>[8,4,2,3,5,6,7,1]
[8,1,2,4,6,5,7,3]=>[6,4,5,8,2,3,7,1]
[5,1,8,3,7,4,6,2]=>[6,1,8,4,7,5,2,3]
[8,3,7,1,5,4,6,2]=>[6,2,5,8,4,7,3,1]
[8,4,7,1,5,3,6,2]=>[2,6,5,8,4,7,3,1]
[7,2,5,3,4,6,1,8]=>[4,5,2,3,7,6,1,8]
[7,6,4,2,5,3,1,8]=>[7,4,3,6,5,2,1,8]
[1,7,2,6,3,4,8,5]=>[8,5,6,3,4,1,2,7]
[7,2,5,1,6,3,4,8]=>[6,7,2,4,3,5,1,8]
[7,3,1,4,6,2,5,8]=>[4,2,6,7,3,5,1,8]
[5,8,4,3,1,7,2,6]=>[1,7,4,3,8,5,6,2]
[3,6,8,5,2,4,7,1]=>[5,2,6,1,4,8,7,3]
[1,3,8,4,7,2,6,5]=>[8,4,6,7,2,5,1,3]
[3,2,1,4,5,8,6,7]=>[2,1,7,8,3,4,5,6]
[6,7,1,3,2,8,5,4]=>[8,4,7,3,1,5,2,6]
[1,5,3,2,6,8,4,7]=>[3,5,2,7,8,1,4,6]
[5,4,3,1,7,2,8,6]=>[3,2,1,8,6,4,5,7]
[5,7,4,2,8,6,1,3]=>[1,7,3,8,4,2,6,5]
[5,4,3,7,8,2,6,1]=>[2,1,6,3,4,8,7,5]
[1,3,6,8,7,2,5,4]=>[3,8,6,7,2,5,1,4]
[5,8,7,1,4,2,3,6]=>[6,1,7,4,5,8,3,2]
[2,6,3,7,1,4,5,8]=>[3,5,6,1,2,7,4,8]
[6,5,1,2,4,7,8,3]=>[5,6,8,3,2,1,4,7]
[7,6,8,4,3,1,5,2]=>[8,6,5,4,2,1,7,3]
[1,7,6,5,3,2,4,8]=>[6,5,7,4,3,1,2,8]
[2,7,6,5,4,1,3,8]=>[6,7,5,4,1,3,2,8]
[6,2,3,5,8,4,1,7]=>[4,7,2,3,1,6,8,5]
[4,7,6,1,5,8,3,2]=>[5,8,1,7,4,3,2,6]
[6,8,7,1,5,4,3,2]=>[1,8,7,6,4,5,3,2]
[8,7,4,6,5,1,3,2]=>[3,8,6,7,5,4,2,1]
[7,2,6,1,5,8,3,4]=>[7,5,8,2,4,3,1,6]
[4,7,3,8,6,2,5,1]=>[6,8,1,3,2,7,5,4]
[4,7,3,6,8,2,1,5]=>[7,1,3,6,4,2,8,5]
[5,4,7,3,8,2,1,6]=>[2,1,4,7,6,3,8,5]
[8,7,2,4,6,3,5,1]=>[4,6,8,3,7,5,2,1]
[4,3,5,7,2,6,1,8]=>[2,1,3,5,7,6,4,8]
[1,7,2,8,5,4,3,6]=>[7,6,5,8,3,1,2,4]
[5,4,8,3,6,2,1,7]=>[2,1,4,7,6,5,8,3]
[6,8,2,5,7,1,4,3]=>[8,6,3,1,4,7,5,2]
[3,8,6,2,7,5,1,4]=>[7,8,4,1,3,6,5,2]
[5,8,4,2,7,3,6,1]=>[1,6,3,8,4,7,5,2]
[8,2,7,3,4,5,1,6]=>[4,5,7,2,6,8,3,1]
[8,1,5,2,4,6,3,7]=>[5,7,4,2,3,6,8,1]
[8,6,1,3,4,5,7,2]=>[4,5,6,8,3,2,7,1]
[8,5,1,2,4,6,7,3]=>[5,6,8,3,2,4,7,1]
[2,6,8,7,3,4,5,1]=>[5,2,6,8,7,1,4,3]
[1,7,8,5,6,4,2,3]=>[7,4,2,8,6,5,1,3]
[8,3,1,2,4,6,7,5]=>[6,2,8,3,4,5,7,1]
[3,1,7,5,8,2,4,6]=>[6,1,4,7,3,8,2,5]
[8,1,3,2,4,6,5,7]=>[3,7,2,4,5,6,8,1]
[8,1,5,6,4,2,3,7]=>[6,3,7,5,2,4,8,1]
[8,1,6,5,4,3,2,7]=>[7,6,5,4,2,3,8,1]
[2,6,8,1,5,4,3,7]=>[7,6,4,1,2,5,8,3]
[5,2,1,7,6,3,8,4]=>[8,6,2,1,5,3,4,7]
[3,5,8,2,1,4,7,6]=>[4,1,2,8,5,6,7,3]
[4,2,8,5,3,7,6,1]=>[1,4,8,5,7,2,6,3]
[4,2,7,5,3,8,6,1]=>[1,4,8,5,2,3,7,6]
[6,4,5,1,8,3,2,7]=>[2,7,6,3,1,8,4,5]
[5,4,7,8,3,1,2,6]=>[2,1,6,7,5,3,8,4]
[4,5,8,1,3,7,2,6]=>[1,5,2,7,8,4,6,3]
[1,5,3,6,8,7,2,4]=>[4,2,7,8,3,6,1,5]
[7,6,2,8,1,4,3,5]=>[7,3,5,6,2,1,8,4]
[4,7,2,6,8,3,5,1]=>[6,1,4,8,3,2,7,5]
[6,3,2,8,7,4,5,1]=>[6,8,2,1,7,3,5,4]
[7,4,3,8,5,6,2,1]=>[2,5,8,3,1,7,6,4]
[3,1,5,8,7,6,2,4]=>[7,8,1,3,6,5,2,4]
[8,2,1,6,5,7,3,4]=>[7,5,2,4,8,3,6,1]
[3,1,8,6,5,7,2,4]=>[7,5,1,4,8,6,2,3]
[1,2,7,6,4,5,8,3]=>[5,6,4,3,8,1,2,7]
[7,2,6,5,1,8,3,4]=>[7,8,5,2,4,3,1,6]
[4,2,8,5,6,3,1,7]=>[1,4,7,6,2,5,8,3]
[6,4,2,1,8,7,3,5]=>[7,2,8,3,1,6,4,5]
[4,7,3,2,5,1,6,8]=>[1,4,3,6,5,7,2,8]
[4,2,5,3,8,7,1,6]=>[3,1,7,8,2,4,6,5]
[7,2,5,3,8,4,6,1]=>[6,3,8,2,4,1,7,5]
[3,6,8,1,7,4,5,2]=>[6,2,8,1,7,4,5,3]
[8,7,3,2,5,4,6,1]=>[3,6,4,5,8,7,2,1]
[7,5,6,1,8,3,2,4]=>[7,6,2,8,4,3,1,5]
[4,5,6,2,7,3,1,8]=>[1,2,7,4,3,6,5,8]
[5,3,4,7,1,6,2,8]=>[2,3,1,7,5,6,4,8]
[3,5,1,4,6,8,2,7]=>[1,4,5,2,7,8,3,6]
[2,3,7,4,1,8,6,5]=>[8,4,7,1,2,5,3,6]
[2,4,5,1,8,6,3,7]=>[2,3,7,1,6,8,4,5]
[2,4,1,6,7,5,3,8]=>[2,4,7,1,6,3,5,8]
[6,3,7,1,5,2,4,8]=>[2,6,7,4,1,5,3,8]
[4,1,3,7,8,2,6,5]=>[1,8,6,3,4,7,2,5]
[7,1,4,8,6,5,2,3]=>[7,8,3,6,5,2,1,4]
[8,3,4,2,1,7,5,6]=>[2,4,3,7,8,5,6,1]
[1,4,5,3,8,6,7,2]=>[2,3,6,8,4,7,1,5]
[4,6,2,7,5,8,1,3]=>[7,1,5,3,2,4,8,6]
[7,3,2,5,1,8,4,6]=>[2,7,3,4,8,5,1,6]
[7,8,1,4,2,3,5,6]=>[5,6,3,4,7,1,8,2]
[6,5,2,4,8,7,1,3]=>[4,7,2,1,8,3,6,5]
[8,5,2,4,1,3,7,6]=>[8,3,5,4,2,6,7,1]
[5,1,2,4,3,6,8,7]=>[4,8,2,3,1,5,6,7]
[5,2,1,4,3,7,6,8]=>[2,4,7,3,1,5,6,8]
[8,6,2,7,5,3,1,4]=>[7,6,8,3,2,5,4,1]
[6,2,1,5,8,3,4,7]=>[6,2,4,7,1,8,3,5]
[2,3,8,7,1,5,4,6]=>[7,5,6,8,1,2,4,3]
[4,3,8,1,5,2,6,7]=>[2,1,6,4,5,7,8,3]
[4,1,3,6,7,2,8,5]=>[4,1,8,3,6,2,5,7]
[7,1,4,5,8,2,6,3]=>[3,4,8,6,7,2,1,5]
[6,1,3,2,4,5,8,7]=>[3,8,2,4,5,1,6,7]
[7,8,1,6,5,2,4,3]=>[8,6,7,5,3,1,4,2]
[7,4,8,6,5,1,2,3]=>[2,6,7,1,8,5,4,3]
[3,7,8,6,5,1,2,4]=>[6,7,2,8,1,5,4,3]
[8,4,5,7,2,6,3,1]=>[2,3,8,5,7,6,4,1]
[4,5,8,2,7,3,1,6]=>[1,2,7,4,6,8,5,3]
[6,5,8,2,7,3,1,4]=>[7,4,2,1,6,8,5,3]
[6,4,8,2,7,3,1,5]=>[2,7,4,1,6,8,5,3]
[7,8,1,3,6,4,2,5]=>[7,4,6,8,3,1,5,2]
[4,3,8,2,7,5,1,6]=>[1,7,2,4,6,8,5,3]
[4,5,7,8,3,2,1,6]=>[7,1,2,6,5,3,8,4]
[5,7,4,2,3,6,8,1]=>[4,1,5,3,6,2,8,7]
[5,4,7,3,2,8,1,6]=>[2,1,5,4,7,3,8,6]
[6,8,3,2,4,5,1,7]=>[4,3,5,1,7,6,8,2]
[6,4,3,8,5,1,2,7]=>[3,2,6,1,7,5,8,4]
[5,4,6,8,2,3,1,7]=>[2,1,5,3,7,6,8,4]
[6,4,8,5,1,2,3,7]=>[5,2,6,1,7,4,8,3]
[5,4,7,8,2,1,3,6]=>[2,1,6,5,7,3,8,4]
[5,8,6,3,1,2,4,7]=>[5,1,6,4,7,3,8,2]
[5,6,1,3,2,4,8,7]=>[4,8,3,1,5,2,6,7]
[8,1,5,4,6,2,7,3]=>[4,3,8,6,2,5,7,1]
[4,3,8,1,2,5,7,6]=>[2,1,8,4,5,6,7,3]
[4,6,3,2,8,5,7,1]=>[1,3,6,2,8,4,7,5]
[5,3,7,2,1,8,6,4]=>[8,2,1,4,7,5,3,6]
[7,4,3,2,5,1,8,6]=>[4,3,2,5,8,6,1,7]
[5,4,8,3,7,2,1,6]=>[2,1,4,7,6,8,5,3]
[3,6,8,5,2,1,7,4]=>[5,2,8,1,6,4,7,3]
[6,1,5,4,7,2,8,3]=>[4,3,8,6,2,1,5,7]
[1,3,6,5,8,2,7,4]=>[4,3,8,2,6,7,1,5]
[5,4,8,3,2,7,1,6]=>[2,1,5,4,7,8,6,3]
[5,4,3,7,2,1,6,8]=>[3,2,1,6,5,7,4,8]
[5,4,3,7,8,2,1,6]=>[2,1,7,3,6,4,8,5]
[1,4,8,6,3,2,7,5]=>[5,8,2,6,4,7,1,3]
[4,1,8,6,2,5,7,3]=>[1,6,8,5,4,7,2,3]
[6,7,2,5,3,8,4,1]=>[8,5,3,1,4,2,7,6]
[6,3,4,8,1,2,7,5]=>[2,3,8,5,1,6,7,4]
[6,2,8,1,7,4,5,3]=>[6,8,7,2,1,4,5,3]
[2,6,3,1,5,8,7,4]=>[8,3,5,1,2,7,4,6]
[7,1,3,2,6,5,8,4]=>[6,3,5,8,2,4,1,7]
[6,1,3,5,8,7,4,2]=>[8,4,7,3,1,6,2,5]
[3,5,8,7,4,6,2,1]=>[5,8,2,7,1,6,4,3]
[6,8,5,7,3,4,2,1]=>[1,5,3,8,7,6,4,2]
[5,3,6,8,4,2,1,7]=>[3,1,7,2,6,5,8,4]
[5,1,6,8,4,7,3,2]=>[3,1,5,8,7,6,2,4]
[6,2,8,3,4,1,5,7]=>[4,6,2,5,1,7,8,3]
[2,4,1,8,7,6,3,5]=>[7,8,2,6,1,5,3,4]
[1,3,5,8,4,7,2,6]=>[3,5,7,8,2,6,1,4]
[2,3,8,7,5,1,6,4]=>[8,6,5,7,1,2,4,3]
[8,5,4,7,6,1,3,2]=>[3,2,8,6,7,5,4,1]
[5,8,7,2,4,1,3,6]=>[4,1,6,7,5,8,3,2]
[4,1,3,5,6,2,8,7]=>[3,4,1,5,8,2,6,7]
[6,3,8,5,1,7,4,2]=>[8,7,2,1,5,4,6,3]
[8,2,4,6,1,3,7,5]=>[3,8,2,5,6,4,7,1]
[6,4,8,7,3,5,2,1]=>[5,1,8,2,7,6,4,3]
[8,2,3,5,6,1,4,7]=>[6,2,3,4,7,5,8,1]
[4,3,5,6,8,2,7,1]=>[2,1,3,4,6,8,7,5]
[8,2,3,4,6,1,7,5]=>[8,2,3,4,6,5,7,1]
[1,7,4,3,5,2,8,6]=>[4,3,5,8,6,1,2,7]
[2,7,4,3,8,1,5,6]=>[4,3,6,7,1,2,8,5]
[3,8,2,7,6,4,1,5]=>[7,6,8,1,3,5,4,2]
[5,3,6,2,1,8,4,7]=>[2,4,1,7,3,8,5,6]
[4,3,8,6,2,7,1,5]=>[1,5,7,2,4,8,6,3]
[8,2,1,4,6,3,7,5]=>[8,2,4,6,3,5,7,1]
[3,1,6,8,2,7,5,4]=>[3,8,1,7,5,6,2,4]
[5,3,8,6,7,2,1,4]=>[1,7,6,2,4,8,5,3]
[5,8,7,2,4,6,1,3]=>[1,7,4,5,8,6,3,2]
[1,5,2,8,7,6,4,3]=>[8,2,7,6,5,1,3,4]
[2,7,1,4,6,5,3,8]=>[7,4,6,1,3,5,2,8]
[4,7,1,2,6,5,8,3]=>[1,6,5,8,3,4,2,7]
[4,2,5,6,8,7,3,1]=>[1,8,3,4,7,2,6,5]
[6,5,8,3,7,4,2,1]=>[2,1,8,4,7,6,5,3]
[8,2,5,1,6,3,7,4]=>[8,6,2,4,3,5,7,1]
[8,3,4,5,1,6,7,2]=>[2,3,6,4,8,5,7,1]
[7,8,1,5,6,3,2,4]=>[7,6,4,8,3,1,5,2]
[1,7,8,3,2,5,4,6]=>[4,7,5,6,2,8,1,3]
[7,8,1,3,2,5,6,4]=>[4,6,8,3,5,1,7,2]
[7,8,1,3,5,4,6,2]=>[6,4,5,8,3,1,7,2]
[7,8,1,3,5,2,4,6]=>[4,6,7,3,5,1,8,2]
[1,3,7,8,5,2,4,6]=>[6,7,5,2,3,8,1,4]
[1,7,8,3,5,2,6,4]=>[8,4,6,5,2,7,1,3]
[1,7,8,3,2,5,6,4]=>[4,6,8,5,2,7,1,3]
[3,7,8,5,4,6,1,2]=>[7,5,4,1,2,8,6,3]
[3,5,7,6,4,8,1,2]=>[7,2,5,1,4,3,8,6]
[1,3,7,8,5,4,6,2]=>[6,5,3,8,2,7,1,4]
[1,3,7,8,5,4,2,6]=>[7,6,5,2,3,8,1,4]
[1,3,7,8,2,5,4,6]=>[7,5,6,2,3,8,1,4]
[1,3,2,7,8,5,4,6]=>[7,6,2,4,8,1,3,5]
[1,5,7,6,8,3,2,4]=>[7,2,6,4,3,8,1,5]
[3,5,4,7,8,6,1,2]=>[2,7,1,3,4,8,6,5]
[3,5,7,6,8,4,1,2]=>[7,2,4,1,3,8,6,5]
[1,5,7,6,8,3,4,2]=>[6,2,4,3,8,7,1,5]
[3,5,7,4,6,8,1,2]=>[2,4,7,1,5,3,8,6]
[6,5,8,4,3,7,1,2]=>[2,1,7,5,4,8,6,3]
[6,7,3,1,5,2,4,8]=>[6,3,7,4,1,5,2,8]
[5,2,4,1,8,3,6,7]=>[6,2,3,1,7,8,4,5]
[2,1,7,4,3,8,5,6]=>[4,7,8,1,5,2,3,6]
[7,2,3,8,5,4,1,6]=>[7,6,2,3,5,1,8,4]
[4,1,5,7,6,3,8,2]=>[1,6,3,5,4,8,2,7]
[1,4,8,2,3,6,5,7]=>[2,7,4,5,6,8,1,3]
[1,4,6,7,3,5,2,8]=>[5,2,3,7,6,1,4,8]
[1,4,8,2,6,7,5,3]=>[5,8,2,7,4,6,1,3]
[1,7,3,2,4,5,6,8]=>[4,3,5,6,7,1,2,8]
[1,7,3,2,4,5,8,6]=>[3,8,4,5,6,1,2,7]
[1,6,4,3,2,5,7,8]=>[5,4,3,6,1,2,7,8]
[4,2,6,5,3,1,7,8]=>[1,6,5,2,4,3,7,8]
[5,2,1,6,8,7,4,3]=>[8,4,1,7,2,6,3,5]
[1,3,5,8,6,2,7,4]=>[8,3,6,2,5,7,1,4]
[2,3,8,4,1,7,6,5]=>[8,4,7,1,2,5,6,3]
[3,7,8,5,4,2,6,1]=>[6,5,4,1,2,8,7,3]
[8,3,2,7,5,6,1,4]=>[7,2,5,8,3,6,4,1]
[1,3,8,5,7,4,2,6]=>[4,7,6,8,2,5,1,3]
[1,2,3,7,5,4,6,8]=>[6,5,7,1,2,3,4,8]
[1,4,2,8,6,3,5,7]=>[2,6,7,5,8,1,3,4]
[2,8,6,3,5,7,4,1]=>[5,8,4,3,7,1,6,2]
[6,1,8,2,5,3,4,7]=>[6,7,4,5,1,8,2,3]
[3,8,6,4,2,7,1,5]=>[5,4,7,1,3,8,6,2]
[1,5,4,2,3,6,8,7]=>[8,4,3,1,2,5,6,7]
[6,1,5,2,3,4,8,7]=>[8,4,5,2,3,1,6,7]
[6,5,2,1,7,3,4,8]=>[3,6,7,4,2,1,5,8]
[3,1,2,5,8,7,4,6]=>[1,7,8,4,6,2,3,5]
[6,5,2,1,8,4,7,3]=>[6,8,3,2,1,7,4,5]
[5,6,2,4,3,8,1,7]=>[5,3,1,4,2,7,8,6]
[3,7,5,2,8,1,4,6]=>[4,6,1,3,7,2,8,5]
[5,1,4,7,3,2,8,6]=>[3,5,1,8,6,2,4,7]
[2,3,5,4,8,6,1,7]=>[3,7,1,2,4,6,8,5]
[2,3,6,4,7,5,1,8]=>[7,4,1,2,3,6,5,8]
[2,3,5,7,4,8,1,6]=>[3,5,7,1,2,4,8,6]
[2,3,7,6,1,5,8,4]=>[6,8,5,1,2,4,3,7]
[8,3,2,4,1,7,6,5]=>[2,8,3,4,7,5,6,1]
[3,7,6,1,2,5,8,4]=>[6,8,1,4,5,3,2,7]
[4,7,1,6,8,5,3,2]=>[4,8,1,7,6,3,2,5]
[4,1,8,6,3,5,2,7]=>[1,5,7,6,4,8,2,3]
[4,1,5,8,6,2,3,7]=>[3,1,6,7,5,8,2,4]
[5,3,4,6,2,8,7,1]=>[2,3,1,4,8,5,7,6]
[5,4,8,6,3,7,1,2]=>[1,7,2,5,4,8,6,3]
[5,7,3,4,8,2,6,1]=>[3,1,4,6,2,8,7,5]
[5,6,4,2,7,8,3,1]=>[1,5,3,2,8,4,7,6]
[6,5,2,3,7,4,1,8]=>[7,3,4,2,1,6,5,8]
[6,5,2,3,1,8,7,4]=>[8,3,4,2,1,7,5,6]
[6,5,3,7,4,1,2,8]=>[3,6,2,1,7,5,4,8]
[6,4,7,5,3,8,1,2]=>[7,2,1,5,4,3,8,6]
[5,7,6,4,8,3,1,2]=>[7,1,4,3,2,8,6,5]
[5,7,4,8,3,1,6,2]=>[1,3,8,6,5,2,7,4]
[3,1,4,7,5,2,8,6]=>[1,5,8,3,6,2,4,7]
[4,3,5,1,8,7,2,6]=>[2,1,3,7,8,6,4,5]
[2,5,3,6,1,8,4,7]=>[7,3,1,2,4,8,5,6]
[2,5,6,8,3,1,7,4]=>[2,5,3,8,1,6,7,4]
[7,1,4,5,3,6,2,8]=>[3,5,4,7,2,6,1,8]
[1,7,2,4,5,3,6,8]=>[4,6,3,5,7,1,2,8]
[1,7,4,5,3,2,6,8]=>[3,6,5,4,7,1,2,8]
[1,6,4,7,3,5,2,8]=>[3,5,2,7,6,1,4,8]
[3,5,6,4,8,2,1,7]=>[2,4,1,3,7,6,8,5]
[1,6,4,7,5,2,3,8]=>[3,6,2,7,5,1,4,8]
[1,5,2,6,7,4,3,8]=>[4,2,7,6,1,3,5,8]
[8,5,6,1,4,3,7,2]=>[6,5,2,8,4,3,7,1]
[2,5,4,7,8,3,1,6]=>[2,7,3,6,1,4,8,5]
[6,4,5,8,2,3,1,7]=>[2,5,3,1,7,6,8,4]
[8,6,1,3,2,5,7,4]=>[4,6,8,3,5,2,7,1]
[7,5,8,1,4,6,3,2]=>[5,2,8,7,4,1,6,3]
[4,2,6,7,8,1,5,3]=>[1,3,8,6,2,4,7,5]
[3,4,6,7,8,1,5,2]=>[3,8,1,2,6,4,7,5]
[4,7,3,8,5,1,6,2]=>[8,1,3,6,5,2,7,4]
[4,3,2,7,5,8,1,6]=>[2,1,5,7,3,4,8,6]
[4,8,5,3,2,6,1,7]=>[5,1,4,3,7,6,8,2]
[2,8,4,5,3,6,1,7]=>[3,5,4,7,1,6,8,2]
[8,1,5,3,2,4,7,6]=>[4,8,5,2,3,6,7,1]
[7,8,4,1,3,6,5,2]=>[8,5,3,7,4,1,6,2]
[8,6,1,3,2,7,4,5]=>[4,7,8,3,5,2,6,1]
[7,3,8,2,4,1,6,5]=>[2,4,5,8,6,1,7,3]
[6,2,3,7,8,1,5,4]=>[8,6,2,3,1,4,7,5]
[6,3,7,8,1,5,4,2]=>[8,7,2,1,5,3,6,4]
[2,6,3,7,8,1,5,4]=>[8,6,3,1,2,4,7,5]
[7,5,8,1,6,4,2,3]=>[7,2,8,6,4,1,5,3]
[8,1,4,3,7,5,6,2]=>[3,6,8,4,7,2,5,1]
[1,4,8,5,3,2,6,7]=>[6,2,5,4,7,8,1,3]
[8,2,7,6,4,1,5,3]=>[8,6,5,7,2,4,3,1]
[2,7,4,3,8,5,1,6]=>[3,7,4,6,1,2,8,5]
[6,8,2,7,3,1,5,4]=>[5,8,3,1,6,7,4,2]
[8,2,6,3,4,1,7,5]=>[4,5,8,2,6,3,7,1]
[6,1,2,8,5,3,7,4]=>[8,6,5,7,2,1,3,4]
[4,1,5,8,3,6,7,2]=>[3,1,5,6,8,7,2,4]
[7,5,2,8,1,6,3,4]=>[7,8,3,2,5,1,6,4]
[4,8,5,7,1,3,2,6]=>[7,1,5,3,6,8,4,2]
[3,4,7,2,1,5,8,6]=>[1,2,4,8,5,6,3,7]
[4,8,2,7,1,3,6,5]=>[1,8,3,5,6,7,4,2]
[5,2,1,8,7,4,6,3]=>[6,1,8,7,2,5,3,4]
[8,2,1,7,4,6,3,5]=>[5,7,8,2,6,3,4,1]
[4,2,5,8,3,6,7,1]=>[3,1,5,6,8,2,7,4]
[5,1,6,8,3,2,7,4]=>[5,3,1,8,6,7,2,4]
[4,1,5,6,8,2,7,3]=>[3,1,4,8,6,7,2,5]
[5,7,8,2,4,1,3,6]=>[4,1,6,7,5,2,8,3]
[4,5,2,8,7,3,1,6]=>[1,2,7,6,8,3,5,4]
[4,8,5,3,1,6,7,2]=>[6,1,4,3,8,5,7,2]
[6,2,3,1,7,8,5,4]=>[5,8,2,3,1,7,4,6]
[5,2,3,6,8,4,7,1]=>[4,6,1,8,2,3,7,5]
[6,2,1,7,8,4,3,5]=>[7,6,2,4,1,8,3,5]
[5,2,1,3,8,4,7,6]=>[8,2,6,1,7,3,4,5]
[5,2,7,8,4,1,6,3]=>[1,8,6,5,2,3,7,4]
[6,2,7,8,3,5,4,1]=>[8,5,3,1,7,2,6,4]
[5,2,8,6,4,1,7,3]=>[1,8,6,5,2,4,7,3]
[5,1,2,8,4,3,7,6]=>[5,8,6,1,7,2,3,4]
[6,7,8,3,2,5,4,1]=>[4,1,8,5,2,7,6,3]
[5,7,2,6,4,8,1,3]=>[1,7,5,3,4,2,8,6]
[6,2,3,4,7,8,5,1]=>[5,8,2,3,1,4,7,6]
[7,2,1,8,4,3,5,6]=>[6,2,5,7,8,3,1,4]
[6,2,1,3,7,5,8,4]=>[6,2,5,8,3,1,4,7]
[6,8,7,3,4,5,1,2]=>[4,1,7,5,8,6,3,2]
[6,2,3,7,8,1,4,5]=>[6,7,2,3,1,4,8,5]
[7,4,3,2,5,8,1,6]=>[4,3,2,5,7,1,8,6]
[7,2,4,3,5,8,1,6]=>[4,2,3,5,7,1,8,6]
[1,7,6,4,2,3,5,8]=>[5,6,4,7,3,1,2,8]
[1,3,2,5,8,6,4,7]=>[7,2,4,6,8,1,3,5]
[1,7,5,8,4,2,3,6]=>[6,3,7,5,2,8,1,4]
[5,7,2,4,3,6,8,1]=>[5,3,1,4,6,2,8,7]
[2,8,3,6,1,7,4,5]=>[7,8,3,5,1,4,6,2]
[4,3,1,8,5,2,6,7]=>[2,1,6,5,7,8,3,4]
[1,8,4,5,6,2,7,3]=>[3,4,8,6,5,7,1,2]
[8,2,5,3,1,7,4,6]=>[4,7,2,3,8,5,6,1]
[6,3,5,8,1,7,4,2]=>[3,8,2,1,7,5,6,4]
[3,5,4,8,6,1,7,2]=>[2,8,1,3,6,5,7,4]
[5,7,6,1,2,8,3,4]=>[7,1,8,4,5,3,2,6]
[7,4,6,5,1,8,2,3]=>[2,7,8,5,4,3,1,6]
[1,7,3,8,2,4,6,5]=>[8,3,5,6,2,7,1,4]
[3,6,1,5,8,4,7,2]=>[4,6,1,2,8,7,3,5]
[3,5,8,2,4,1,7,6]=>[4,1,2,5,8,6,7,3]
[7,2,8,4,1,3,6,5]=>[8,5,2,4,6,1,7,3]
[8,4,3,5,7,2,6,1]=>[3,2,4,6,8,7,5,1]
[6,3,5,8,2,4,7,1]=>[5,2,3,1,6,8,7,4]
[2,8,7,1,4,6,3,5]=>[5,7,8,4,6,1,3,2]
[1,8,5,3,7,4,2,6]=>[7,4,3,6,8,5,1,2]
[7,5,6,2,8,4,3,1]=>[2,8,7,4,3,1,6,5]
[5,7,6,2,8,1,4,3]=>[1,8,4,6,3,2,7,5]
[6,3,8,1,2,5,4,7]=>[2,7,4,5,1,6,8,3]
[7,6,4,8,5,3,2,1]=>[8,3,2,1,7,6,5,4]
[7,6,5,3,8,4,2,1]=>[8,4,3,2,1,7,6,5]
[7,6,5,4,2,8,3,1]=>[8,5,4,3,2,1,7,6]
[7,5,4,8,6,3,2,1]=>[2,8,3,1,7,6,5,4]
[7,6,5,3,2,8,4,1]=>[4,8,5,3,2,1,7,6]
[1,5,7,2,4,3,6,8]=>[6,4,2,5,7,1,3,8]
[1,6,5,3,2,4,7,8]=>[5,4,6,3,1,2,7,8]
[1,7,2,4,6,5,3,8]=>[7,4,6,3,5,1,2,8]
[1,4,7,2,6,5,3,8]=>[7,2,6,4,5,1,3,8]
[1,2,6,8,7,4,3,5]=>[3,7,6,8,5,1,2,4]
[1,2,7,4,3,5,8,6]=>[4,8,5,6,1,2,3,7]
[1,6,2,8,7,4,3,5]=>[7,6,2,8,5,1,3,4]
[1,7,4,2,3,5,8,6]=>[8,4,3,5,6,1,2,7]
[1,8,5,2,3,6,4,7]=>[7,4,5,3,6,8,1,2]
[1,7,4,8,5,2,3,6]=>[3,6,7,5,2,8,1,4]
[1,4,7,5,2,8,6,3]=>[4,8,2,7,5,1,3,6]
[1,6,3,7,4,2,8,5]=>[5,8,3,2,6,1,4,7]
[1,8,5,2,7,4,3,6]=>[7,6,3,8,4,5,1,2]
[1,4,8,7,5,3,2,6]=>[7,6,2,5,8,4,1,3]
[1,2,5,8,6,3,7,4]=>[8,3,6,5,7,1,2,4]
[1,2,4,7,5,8,6,3]=>[8,5,3,4,7,1,2,6]
[1,5,8,7,6,2,4,3]=>[8,2,6,7,5,4,1,3]
[1,3,5,8,7,6,2,4]=>[7,8,3,6,2,5,1,4]
[1,5,2,4,3,6,8,7]=>[4,8,3,1,2,5,6,7]
[1,6,8,7,5,3,2,4]=>[2,7,6,8,5,4,1,3]
[1,2,5,7,4,3,8,6]=>[3,5,8,6,1,2,4,7]
[1,5,3,2,6,8,7,4]=>[8,3,2,5,7,1,4,6]
[1,4,2,6,8,7,5,3]=>[8,2,4,7,6,1,3,5]
[1,5,8,6,3,2,7,4]=>[2,5,8,6,4,7,1,3]
[1,8,5,2,6,3,4,7]=>[6,7,4,3,5,8,1,2]
[1,7,4,6,3,2,8,5]=>[3,5,8,6,4,1,2,7]
[1,6,3,2,8,5,4,7]=>[7,3,6,2,8,1,4,5]
[1,3,8,6,4,2,5,7]=>[6,5,7,2,4,8,1,3]
[1,5,7,4,2,3,8,6]=>[2,8,5,4,6,1,3,7]
[2,7,3,6,8,5,4,1]=>[4,8,7,3,1,2,6,5]
[8,5,2,4,6,7,3,1]=>[4,5,2,8,3,7,6,1]
[2,5,8,7,1,4,3,6]=>[2,7,5,6,8,1,4,3]
[3,4,6,5,8,2,7,1]=>[4,1,2,3,6,8,7,5]
[5,2,4,1,6,7,8,3]=>[5,2,3,1,6,8,4,7]
[4,2,7,1,6,8,3,5]=>[1,7,5,8,2,4,3,6]
[5,2,8,6,4,7,1,3]=>[1,7,5,4,8,2,6,3]
[6,1,3,4,7,2,8,5]=>[8,3,4,6,2,1,5,7]
[8,4,7,2,5,3,1,6]=>[2,7,4,6,5,8,3,1]
[8,3,4,5,2,1,7,6]=>[2,3,5,4,8,6,7,1]
[8,6,1,4,7,3,5,2]=>[4,6,8,7,3,2,5,1]
[5,3,6,7,2,4,8,1]=>[5,2,1,3,6,4,8,7]
[8,6,4,2,7,1,5,3]=>[8,4,3,6,2,7,5,1]
[8,6,1,4,7,5,2,3]=>[4,7,8,6,3,2,5,1]
[1,5,8,2,6,7,4,3]=>[2,5,8,7,4,6,1,3]
[7,1,3,6,5,2,8,4]=>[8,6,3,5,2,4,1,7]
[1,4,7,5,2,3,8,6]=>[8,2,5,4,6,1,3,7]
[2,8,6,4,7,3,5,1]=>[4,6,3,8,7,1,5,2]
[8,7,1,4,6,5,3,2]=>[8,4,7,6,3,5,2,1]
[1,2,4,6,8,5,3,7]=>[4,7,3,6,8,1,2,5]
[3,1,5,8,6,2,4,7]=>[1,3,6,7,5,8,2,4]
[2,4,3,8,7,1,6,5]=>[8,2,6,7,1,3,5,4]
[6,8,7,5,4,3,1,2]=>[1,7,8,6,5,4,3,2]
[5,3,4,8,6,2,7,1]=>[6,2,1,3,5,8,7,4]
[3,4,5,8,6,2,7,1]=>[6,1,2,3,5,8,7,4]
[5,4,2,3,6,1,8,7]=>[3,4,2,1,5,8,6,7]
[5,1,7,4,3,6,8,2]=>[5,4,1,6,3,8,2,7]
[4,3,7,6,8,2,1,5]=>[7,1,6,2,4,3,8,5]
[8,1,4,7,2,3,5,6]=>[5,3,6,7,8,2,4,1]
[6,1,8,5,2,7,3,4]=>[7,8,5,4,1,6,2,3]
[8,7,2,6,3,1,4,5]=>[6,3,5,7,8,4,2,1]
[8,7,1,6,4,5,2,3]=>[7,5,8,6,3,4,2,1]
[5,4,1,3,7,2,8,6]=>[8,4,2,1,6,3,5,7]
[8,3,4,7,6,2,1,5]=>[7,2,3,6,8,5,4,1]
[3,1,8,7,5,2,4,6]=>[6,7,1,5,8,4,2,3]
[6,5,8,7,2,4,3,1]=>[2,1,8,5,7,6,4,3]
[4,3,6,5,8,2,1,7]=>[1,4,2,3,7,6,8,5]
[7,6,3,2,8,5,4,1]=>[8,3,7,4,2,1,6,5]
[3,2,6,8,7,1,4,5]=>[6,1,3,7,8,2,5,4]
[4,3,7,1,8,5,2,6]=>[1,7,2,6,8,4,3,5]
[3,2,8,5,6,7,1,4]=>[4,7,1,5,8,2,6,3]
[8,3,2,1,4,7,5,6]=>[3,2,7,8,4,5,6,1]
[4,7,3,1,8,5,2,6]=>[1,3,7,6,8,4,2,5]
[3,7,8,2,5,6,1,4]=>[7,4,5,1,2,8,6,3]
[7,5,1,4,2,3,6,8]=>[5,6,3,4,2,7,1,8]
[7,8,6,1,2,4,5,3]=>[6,8,4,5,1,7,3,2]
[1,5,3,4,7,8,6,2]=>[5,2,8,3,4,7,1,6]
[5,1,2,4,7,8,6,3]=>[5,8,4,1,7,2,3,6]
[5,1,7,8,6,2,3,4]=>[6,1,7,3,8,5,2,4]
[8,5,1,6,7,2,3,4]=>[6,7,4,2,8,3,5,1]
[7,5,1,2,4,6,8,3]=>[5,6,8,3,2,4,1,7]
[6,1,5,2,7,3,4,8]=>[6,7,4,2,3,1,5,8]
[7,1,2,6,4,5,8,3]=>[5,6,4,8,2,3,1,7]
[1,7,3,6,4,5,8,2]=>[5,6,3,4,2,8,1,7]
[1,8,3,6,4,5,7,2]=>[5,6,3,4,8,7,1,2]
[8,1,6,2,7,3,4,5]=>[6,7,8,4,2,3,5,1]
[7,1,6,2,5,3,4,8]=>[6,7,4,5,2,3,1,8]
[8,1,6,2,5,3,4,7]=>[6,7,4,5,2,3,8,1]
[8,1,7,2,5,3,4,6]=>[6,7,4,5,8,2,3,1]
[8,1,2,7,4,5,6,3]=>[5,6,8,7,2,3,4,1]
[1,8,3,7,4,5,6,2]=>[5,6,8,3,7,4,1,2]
[8,1,6,7,5,2,3,4]=>[6,7,3,8,5,2,4,1]
[7,3,1,2,6,4,5,8]=>[6,2,7,3,4,5,1,8]
[3,1,2,8,5,6,7,4]=>[1,5,6,8,7,2,3,4]
[6,3,1,2,7,4,5,8]=>[6,2,7,3,4,1,5,8]
[6,1,7,4,2,3,5,8]=>[5,6,4,7,2,1,3,8]
[1,7,3,4,6,8,5,2]=>[5,8,3,4,2,7,1,6]
[1,7,3,8,4,5,6,2]=>[5,6,8,3,2,7,1,4]
[7,1,8,2,5,3,4,6]=>[6,7,4,5,8,2,1,3]
[6,1,7,2,5,3,4,8]=>[6,7,4,5,2,1,3,8]
[5,1,7,2,6,3,4,8]=>[6,7,4,1,5,2,3,8]
[5,1,8,2,6,3,4,7]=>[6,7,4,1,5,8,2,3]
[1,6,3,7,4,5,8,2]=>[5,6,3,2,4,8,1,7]
[2,4,7,3,5,1,6,8]=>[2,4,6,1,5,7,3,8]
[2,4,8,6,3,5,1,7]=>[5,7,2,6,1,4,8,3]
[2,3,7,5,4,1,6,8]=>[6,5,1,2,4,7,3,8]
[3,4,6,2,1,5,8,7]=>[1,2,4,8,5,3,6,7]
[3,4,7,2,1,6,5,8]=>[1,2,4,7,5,6,3,8]
[2,6,8,3,5,1,4,7]=>[4,6,2,7,1,5,8,3]
[2,3,6,1,5,8,4,7]=>[5,7,1,2,3,8,4,6]
[2,3,7,1,6,5,8,4]=>[6,5,8,1,2,4,3,7]
[2,4,7,1,3,6,8,5]=>[2,6,8,1,4,5,3,7]
[5,4,7,8,1,3,2,6]=>[2,1,7,5,6,3,8,4]
[2,5,7,1,4,6,3,8]=>[5,2,7,1,4,6,3,8]
[2,4,7,1,6,3,5,8]=>[2,6,7,1,4,5,3,8]
[2,3,7,1,6,5,4,8]=>[7,6,1,2,4,5,3,8]
[2,5,7,1,4,3,6,8]=>[6,4,1,2,5,7,3,8]
[2,5,7,3,1,4,6,8]=>[5,4,1,2,6,7,3,8]
[3,4,7,2,1,6,8,5]=>[1,2,4,6,8,5,3,7]
[4,6,3,7,1,5,2,8]=>[1,3,7,5,2,6,4,8]
[5,7,3,2,8,1,4,6]=>[4,3,1,6,7,2,8,5]
[3,6,8,5,4,1,7,2]=>[2,8,6,1,5,4,7,3]
[5,4,7,8,1,3,6,2]=>[2,1,6,8,5,3,7,4]
[2,5,7,1,4,6,8,3]=>[5,2,6,8,1,4,3,7]
[2,4,7,1,6,3,8,5]=>[8,2,6,1,4,5,3,7]
[2,4,7,1,6,8,3,5]=>[7,2,5,8,1,4,3,6]
[2,4,8,3,1,7,6,5]=>[8,2,4,7,1,5,6,3]
[8,6,5,1,2,4,3,7]=>[7,4,5,6,3,2,8,1]
[7,6,1,4,2,3,5,8]=>[5,6,3,4,7,2,1,8]
[6,5,1,4,8,3,2,7]=>[4,7,6,2,1,8,3,5]
[8,7,1,4,3,2,5,6]=>[6,5,3,4,7,8,2,1]
[8,7,5,1,4,2,3,6]=>[6,7,4,5,3,8,2,1]
[8,4,1,2,5,3,6,7]=>[6,3,4,2,5,7,8,1]
[8,7,5,1,4,2,6,3]=>[8,6,4,5,3,7,2,1]
[8,6,1,4,2,5,3,7]=>[7,5,3,4,6,2,8,1]
[8,7,1,4,3,2,6,5]=>[5,4,8,3,6,7,2,1]
[8,7,6,3,1,5,4,2]=>[4,8,7,5,6,3,2,1]
[2,8,3,7,4,5,6,1]=>[5,6,8,3,7,1,4,2]
[8,7,5,2,4,3,6,1]=>[6,4,5,3,8,7,2,1]
[4,2,5,7,3,1,6,8]=>[3,1,6,2,5,7,4,8]
[8,2,4,5,3,1,6,7]=>[3,6,2,5,4,7,8,1]
[8,4,5,1,3,2,6,7]=>[6,4,2,5,3,7,8,1]
[4,3,7,5,2,1,6,8]=>[1,6,2,5,4,7,3,8]
[1,6,7,4,3,2,5,8]=>[6,5,4,2,7,1,3,8]
[1,4,5,7,3,2,6,8]=>[2,3,6,5,7,1,4,8]
[3,5,1,4,7,2,6,8]=>[1,4,6,2,7,3,5,8]
[2,5,1,4,7,8,3,6]=>[7,4,1,2,5,8,3,6]
[4,3,7,1,5,2,6,8]=>[2,1,6,4,5,7,3,8]
[3,5,1,6,4,2,7,8]=>[6,1,5,3,2,4,7,8]
[6,4,3,1,7,2,5,8]=>[6,3,2,7,4,1,5,8]
[6,2,7,4,3,1,5,8]=>[6,5,2,4,1,7,3,8]
[2,6,4,1,7,3,5,8]=>[6,3,7,1,4,2,5,8]
[6,3,2,7,4,5,1,8]=>[2,5,7,3,1,6,4,8]
[7,2,4,1,3,6,8,5]=>[6,2,3,8,4,5,1,7]
[6,3,2,5,7,1,4,8]=>[2,6,3,4,1,7,5,8]
[3,2,6,5,7,1,4,8]=>[6,1,4,2,3,7,5,8]
[1,7,3,2,5,6,4,8]=>[3,5,7,4,6,1,2,8]
[2,1,7,3,5,6,8,4]=>[5,6,8,1,4,2,3,7]
[2,1,6,3,5,7,8,4]=>[5,6,1,3,8,2,4,7]
[1,6,3,2,5,7,4,8]=>[3,5,7,4,1,2,6,8]
[1,4,6,5,2,7,3,8]=>[7,2,5,4,1,3,6,8]
[5,6,2,1,4,3,7,8]=>[3,6,4,1,5,2,7,8]
[2,5,1,6,4,3,7,8]=>[6,5,1,3,2,4,7,8]
[2,5,4,1,6,3,7,8]=>[6,4,1,3,2,5,7,8]
[4,6,1,5,2,7,3,8]=>[1,7,5,3,4,2,6,8]
[1,6,5,3,7,2,4,8]=>[4,6,3,2,7,1,5,8]
[1,2,5,4,7,3,6,8]=>[4,3,6,7,1,2,5,8]
[1,2,5,3,4,8,7,6]=>[3,8,7,1,2,4,5,6]
[5,2,7,6,1,8,4,3]=>[1,8,7,5,2,4,3,6]
[5,8,2,6,1,7,4,3]=>[1,8,7,3,5,4,6,2]
[1,7,8,2,4,6,5,3]=>[8,5,7,4,2,6,1,3]
[1,5,8,3,6,2,7,4]=>[2,8,4,6,5,7,1,3]
[6,8,7,1,4,5,2,3]=>[7,5,1,8,4,6,3,2]
[1,2,6,4,7,3,8,5]=>[8,4,3,6,1,2,5,7]
[1,2,7,8,3,5,6,4]=>[6,8,5,3,7,1,2,4]
[4,8,7,6,2,1,5,3]=>[5,8,1,6,7,4,3,2]
[2,7,4,5,8,1,6,3]=>[3,4,8,6,1,2,7,5]
[2,6,1,8,5,4,3,7]=>[7,6,5,1,2,8,3,4]
[5,8,6,2,3,4,1,7]=>[4,1,5,7,6,3,8,2]
[5,8,6,2,1,4,3,7]=>[4,1,7,5,6,3,8,2]
[4,5,8,6,2,1,3,7]=>[1,2,6,5,7,4,8,3]
[6,4,7,5,8,2,1,3]=>[7,2,1,6,4,3,8,5]
[6,3,7,4,2,5,8,1]=>[5,2,4,1,6,3,8,7]
[6,2,1,5,8,4,3,7]=>[4,7,2,6,1,8,3,5]
[7,5,6,2,4,3,8,1]=>[6,4,2,5,3,1,8,7]
[4,6,2,5,7,3,8,1]=>[1,4,6,3,2,5,8,7]
[4,2,8,5,3,6,1,7]=>[1,5,4,7,2,6,8,3]
[8,1,7,4,5,6,2,3]=>[4,7,5,8,6,2,3,1]
[8,2,1,4,3,7,6,5]=>[8,2,4,7,3,5,6,1]
[7,6,5,3,1,2,8,4]=>[8,5,4,6,3,2,1,7]
[6,2,3,1,7,8,4,5]=>[7,2,3,5,1,8,4,6]
[3,1,8,6,7,2,4,5]=>[6,7,1,4,8,5,2,3]
[4,2,5,1,8,6,7,3]=>[3,1,6,8,2,7,4,5]
[4,5,3,7,1,6,8,2]=>[1,3,2,6,8,5,4,7]
[4,2,8,5,3,6,7,1]=>[1,5,4,6,8,2,7,3]
[2,8,6,3,5,4,7,1]=>[6,4,5,3,8,1,7,2]
[3,5,2,8,6,4,7,1]=>[2,6,1,5,8,3,7,4]
[7,3,5,1,6,4,8,2]=>[6,2,5,3,8,4,1,7]
[5,1,4,7,2,6,8,3]=>[3,6,1,8,5,2,4,7]
[1,8,2,5,6,4,7,3]=>[4,6,5,8,3,7,1,2]
[2,7,1,4,8,5,6,3]=>[6,8,4,7,1,3,2,5]
[2,8,4,6,1,3,7,5]=>[3,8,5,6,1,4,7,2]
[8,4,6,2,5,3,7,1]=>[2,6,4,5,3,8,7,1]
[8,3,7,6,2,1,5,4]=>[5,8,2,6,7,4,3,1]
[8,5,2,7,6,1,4,3]=>[8,6,2,7,3,5,4,1]
[5,8,2,7,6,1,4,3]=>[1,8,6,7,3,5,4,2]
[8,3,7,6,2,5,1,4]=>[5,7,8,2,6,4,3,1]
[7,3,8,6,5,1,4,2]=>[8,6,7,2,1,5,4,3]
[5,4,7,1,3,8,6,2]=>[2,1,8,5,7,4,3,6]
[8,1,7,6,3,4,2,5]=>[5,7,6,8,4,2,3,1]
[8,1,4,2,5,7,3,6]=>[5,3,7,8,2,4,6,1]
[3,4,8,5,6,2,7,1]=>[4,6,1,2,5,8,7,3]
[5,8,2,3,4,6,1,7]=>[3,4,1,5,7,6,8,2]
[6,1,3,4,2,5,7,8]=>[3,5,2,4,6,1,7,8]
[1,5,6,3,2,4,7,8]=>[5,4,2,6,1,3,7,8]
[6,3,5,2,4,1,7,8]=>[2,4,6,5,3,1,7,8]
[7,8,3,5,2,4,6,1]=>[3,5,6,4,1,8,7,2]
[2,4,5,7,3,6,1,8]=>[2,3,5,7,1,6,4,8]
[2,5,3,1,6,4,7,8]=>[3,6,1,4,2,5,7,8]
[6,5,1,3,4,2,7,8]=>[4,6,3,5,2,1,7,8]
[5,7,4,3,2,6,1,8]=>[1,5,4,3,7,6,2,8]
[6,8,7,4,3,5,1,2]=>[1,7,5,4,8,6,3,2]
[2,6,7,8,4,3,5,1]=>[2,6,5,3,8,1,7,4]
[1,7,8,4,5,3,6,2]=>[4,6,5,2,8,7,1,3]
[7,1,8,5,3,4,6,2]=>[5,6,4,8,7,2,1,3]
[5,7,4,2,1,6,3,8]=>[4,1,7,5,3,6,2,8]
[5,1,4,7,3,6,2,8]=>[3,5,1,7,6,2,4,8]
[7,4,8,6,3,5,2,1]=>[5,8,2,1,7,6,4,3]
[4,7,6,3,5,2,1,8]=>[4,7,1,6,5,3,2,8]
[1,6,5,8,7,4,2,3]=>[3,2,7,8,6,5,1,4]
[6,1,3,8,7,5,2,4]=>[7,8,6,3,1,5,2,4]
[7,6,2,1,8,3,5,4]=>[8,3,6,7,4,2,1,5]
[7,1,3,6,8,2,5,4]=>[8,6,3,4,7,2,1,5]
[1,7,5,6,8,2,4,3]=>[3,8,6,4,2,7,1,5]
[3,6,7,5,8,2,4,1]=>[2,6,4,1,3,8,7,5]
[1,7,4,5,2,8,6,3]=>[3,4,8,7,5,1,2,6]
[7,5,4,2,1,8,6,3]=>[8,4,3,2,7,5,1,6]
[3,6,7,4,2,8,5,1]=>[4,2,8,1,5,3,7,6]
[4,6,3,2,7,8,5,1]=>[1,3,5,2,8,4,7,6]
[7,6,1,3,4,2,5,8]=>[4,6,3,5,7,2,1,8]
[7,8,2,6,4,5,3,1]=>[5,8,7,3,1,6,4,2]
[7,2,5,4,6,1,3,8]=>[6,4,2,3,7,5,1,8]
[7,1,2,4,5,6,3,8]=>[4,5,7,2,3,6,1,8]
[7,3,2,1,5,6,4,8]=>[3,2,5,7,4,6,1,8]
[3,6,2,1,7,5,4,8]=>[7,1,3,6,4,2,5,8]
[2,6,7,3,1,5,4,8]=>[4,7,5,1,2,6,3,8]
[2,1,6,4,7,5,3,8]=>[7,4,1,3,6,2,5,8]
[7,2,8,5,6,4,3,1]=>[4,8,7,6,2,1,5,3]
[7,6,8,5,4,1,3,2]=>[8,6,2,1,7,5,4,3]
[7,1,8,4,6,5,3,2]=>[8,4,7,6,5,2,1,3]
[7,8,6,3,1,5,4,2]=>[4,8,7,5,1,6,3,2]
[7,6,1,4,5,3,2,8]=>[4,7,6,3,5,2,1,8]
[7,1,5,6,4,3,2,8]=>[3,7,6,5,2,4,1,8]
[4,1,3,8,6,2,7,5]=>[1,8,6,3,5,7,2,4]
[5,1,2,8,4,6,7,3]=>[5,6,1,8,7,2,3,4]
[5,6,3,2,8,1,7,4]=>[3,1,8,4,2,6,7,5]
[8,2,6,3,1,5,7,4]=>[4,6,8,2,5,3,7,1]
[8,2,5,6,7,4,3,1]=>[3,4,8,7,2,6,5,1]
[8,2,5,3,4,7,6,1]=>[8,4,2,3,5,7,6,1]
[7,5,3,2,4,1,8,6]=>[4,3,5,2,8,6,1,7]
[7,1,2,3,6,8,4,5]=>[7,5,8,2,3,4,1,6]
[6,7,2,8,3,4,5,1]=>[5,6,1,8,3,2,7,4]
[3,1,8,4,6,5,7,2]=>[6,1,4,5,8,7,2,3]
[6,1,2,3,8,4,7,5]=>[8,6,7,2,3,1,4,5]
[8,1,6,7,4,2,3,5]=>[6,7,5,3,8,2,4,1]
[8,1,6,4,5,2,3,7]=>[6,4,7,5,2,3,8,1]
[8,1,6,4,5,2,7,3]=>[4,8,6,5,2,3,7,1]
[8,6,4,7,2,3,5,1]=>[5,3,6,2,8,7,4,1]
[8,6,4,1,2,3,7,5]=>[8,4,5,3,6,2,7,1]
[8,6,1,4,2,5,7,3]=>[6,4,8,3,5,2,7,1]
[8,6,7,4,2,5,1,3]=>[5,7,4,2,8,6,3,1]
[8,6,4,2,5,3,7,1]=>[6,4,3,5,2,8,7,1]
[8,6,4,2,5,3,1,7]=>[7,4,3,6,5,2,8,1]
[8,6,4,2,7,3,1,5]=>[7,4,3,6,2,8,5,1]
[8,6,4,1,5,7,2,3]=>[7,5,3,8,4,2,6,1]
[8,6,4,2,1,5,7,3]=>[4,6,3,8,5,2,7,1]
[8,6,4,2,1,7,3,5]=>[4,7,3,8,5,2,6,1]
[8,6,1,4,7,2,5,3]=>[4,8,6,7,3,2,5,1]
[8,6,4,1,5,2,3,7]=>[6,7,4,3,5,2,8,1]
[8,6,7,1,4,5,2,3]=>[7,5,8,4,2,6,3,1]
[8,6,4,5,2,7,3,1]=>[3,8,5,4,2,7,6,1]
[8,6,7,4,2,1,5,3]=>[5,8,6,4,2,7,3,1]
[8,6,4,7,2,1,5,3]=>[5,3,8,6,2,7,4,1]
[8,6,4,2,5,7,3,1]=>[5,3,8,4,2,7,6,1]
[8,6,4,2,5,1,7,3]=>[8,4,3,6,5,2,7,1]
[8,6,4,2,5,7,1,3]=>[7,4,3,5,2,8,6,1]
[3,4,7,5,8,2,6,1]=>[4,6,1,2,3,8,7,5]
[8,7,1,4,6,5,2,3]=>[4,7,8,6,3,5,2,1]
[8,3,7,6,4,5,1,2]=>[7,5,8,2,6,4,3,1]
[5,3,8,6,4,1,7,2]=>[1,8,6,2,5,4,7,3]
[7,4,5,1,2,8,6,3]=>[2,8,7,4,3,5,1,6]
[6,4,7,1,8,5,2,3]=>[2,7,1,8,6,4,3,5]
[5,7,4,2,3,8,6,1]=>[1,8,4,3,5,2,7,6]
[3,8,2,5,1,7,4,6]=>[7,1,3,4,8,5,6,2]
[5,8,4,2,3,7,1,6]=>[4,1,5,3,7,8,6,2]
[4,8,5,2,1,7,3,6]=>[1,4,7,3,8,5,6,2]
[8,5,7,6,1,2,4,3]=>[8,5,2,6,7,4,3,1]
[6,8,7,5,2,4,1,3]=>[5,1,7,8,6,4,3,2]
[5,7,6,8,4,1,3,2]=>[8,1,6,3,2,7,5,4]
[7,3,1,6,8,5,4,2]=>[4,8,2,7,6,3,1,5]
[5,3,1,7,4,8,6,2]=>[8,2,1,5,4,7,3,6]
[7,3,1,8,6,4,5,2]=>[6,8,2,7,5,3,1,4]
[8,6,4,1,7,3,2,5]=>[7,6,3,8,4,2,5,1]
[4,6,8,3,7,1,2,5]=>[6,1,4,2,7,8,5,3]
[3,5,2,8,4,7,1,6]=>[5,1,2,7,8,3,6,4]
[6,4,8,3,7,2,1,5]=>[2,4,1,7,6,8,5,3]
[3,6,2,8,7,4,1,5]=>[7,6,1,2,8,3,5,4]
[6,8,4,2,7,3,1,5]=>[7,4,3,1,6,8,5,2]
[3,4,7,8,5,1,2,6]=>[6,7,1,2,5,3,8,4]
[4,7,3,2,5,6,8,1]=>[1,4,3,5,6,2,8,7]
[3,2,7,6,4,5,8,1]=>[5,6,1,4,2,3,8,7]
[1,7,3,6,8,4,2,5]=>[7,6,3,4,2,8,1,5]
[2,3,6,5,1,8,7,4]=>[4,3,8,1,2,7,5,6]
[8,3,1,2,6,4,7,5]=>[2,8,6,3,4,5,7,1]
[1,7,8,2,4,3,5,6]=>[6,4,5,7,2,8,1,3]
[3,6,4,7,1,2,8,5]=>[3,8,1,5,2,6,4,7]
[5,7,4,8,1,3,2,6]=>[1,7,5,3,6,2,8,4]
[4,3,7,8,1,5,2,6]=>[1,7,2,5,6,3,8,4]
[8,5,4,2,6,1,7,3]=>[8,4,3,2,6,5,7,1]
[3,2,6,8,7,4,1,5]=>[3,7,1,6,8,2,5,4]
[2,3,7,5,1,8,6,4]=>[4,8,7,1,2,5,3,6]
[6,3,1,2,8,7,4,5]=>[2,7,8,6,3,1,4,5]
[5,2,1,3,8,7,6,4]=>[8,7,2,1,6,3,4,5]
[7,2,1,5,3,8,4,6]=>[7,2,4,8,3,5,1,6]
[1,5,8,2,4,3,6,7]=>[6,4,2,5,7,8,1,3]
[4,3,6,8,1,5,2,7]=>[1,7,2,5,3,6,8,4]
[5,4,6,8,3,1,7,2]=>[2,1,3,8,6,5,7,4]
[3,6,8,4,5,1,7,2]=>[4,2,8,1,6,5,7,3]
[8,6,1,7,2,4,3,5]=>[7,5,6,8,3,2,4,1]
[7,3,1,2,8,6,4,5]=>[2,7,8,6,3,4,1,5]
[2,3,7,6,1,8,5,4]=>[8,7,5,1,2,4,3,6]
[3,2,7,8,6,4,1,5]=>[7,6,1,3,8,2,5,4]
[6,2,8,3,1,4,7,5]=>[4,8,2,5,1,6,7,3]
[3,1,2,8,7,4,5,6]=>[1,6,7,8,5,2,3,4]
[2,1,3,8,7,4,6,5]=>[8,6,7,1,5,2,3,4]
[2,1,3,8,7,4,5,6]=>[6,7,8,1,5,2,3,4]
[1,6,8,3,2,4,7,5]=>[4,8,5,2,6,7,1,3]
[8,5,1,7,2,4,3,6]=>[7,5,6,2,8,3,4,1]
[8,4,1,7,3,2,5,6]=>[6,5,2,7,8,3,4,1]
[8,3,1,6,2,7,5,4]=>[8,2,7,5,3,4,6,1]
[1,3,2,8,7,6,4,5]=>[7,8,6,2,5,1,3,4]
[2,1,3,8,7,6,4,5]=>[7,8,6,1,5,2,3,4]
[1,6,3,7,2,5,4,8]=>[7,3,5,2,6,1,4,8]
[1,7,2,4,6,3,5,8]=>[4,6,7,3,5,1,2,8]
[5,7,2,8,4,1,3,6]=>[6,1,7,3,5,2,8,4]
[5,6,2,8,4,1,3,7]=>[6,1,7,3,2,5,8,4]
[2,4,8,3,1,6,7,5]=>[2,4,6,8,1,5,7,3]
[3,5,8,4,2,1,6,7]=>[2,6,1,5,4,7,8,3]
[2,5,8,3,1,4,6,7]=>[5,4,1,2,6,7,8,3]
[2,8,1,3,5,7,4,6]=>[5,7,8,1,3,4,6,2]
[5,4,7,8,3,2,6,1]=>[1,6,2,5,3,8,7,4]
[3,4,8,5,7,1,2,6]=>[6,1,2,4,7,8,5,3]
[3,6,8,2,5,1,4,7]=>[4,6,1,2,7,5,8,3]
[3,6,8,7,2,5,4,1]=>[2,8,5,7,1,6,4,3]
[3,4,6,5,8,2,1,7]=>[4,1,2,3,7,6,8,5]
[2,4,6,7,8,3,5,1]=>[3,6,2,4,8,1,7,5]
[1,4,2,5,7,6,3,8]=>[2,7,4,6,1,3,5,8]
[1,4,2,6,8,5,3,7]=>[2,4,7,6,8,1,3,5]
[1,2,6,8,3,5,4,7]=>[7,5,3,6,8,1,2,4]
[1,6,8,3,5,4,2,7]=>[7,4,2,6,5,8,1,3]
[1,5,3,2,4,6,8,7]=>[3,8,4,1,2,5,6,7]
[1,5,8,7,6,3,2,4]=>[7,2,6,8,5,4,1,3]
[1,5,7,6,3,2,4,8]=>[2,6,5,7,4,1,3,8]
[1,6,3,2,4,7,5,8]=>[3,7,4,5,1,2,6,8]
[1,6,3,2,4,8,7,5]=>[8,3,7,4,1,2,5,6]
[1,2,7,6,4,3,5,8]=>[6,5,7,4,1,2,3,8]
[1,8,7,5,2,4,6,3]=>[6,8,5,4,7,3,1,2]
[1,7,5,2,4,6,3,8]=>[5,7,4,3,6,1,2,8]
[1,7,4,2,5,3,6,8]=>[6,4,3,5,7,1,2,8]
[1,8,4,7,5,2,6,3]=>[8,3,6,5,7,4,1,2]
[1,7,5,2,3,6,4,8]=>[7,4,5,3,6,1,2,8]
[1,7,5,2,6,3,4,8]=>[6,7,4,3,5,1,2,8]
[1,6,3,7,4,2,5,8]=>[6,3,5,2,7,1,4,8]
[1,6,3,2,7,5,4,8]=>[7,3,6,4,1,2,5,8]
[1,4,7,5,2,6,3,8]=>[7,2,5,4,6,1,3,8]
[1,3,6,4,8,7,5,2]=>[3,8,7,2,4,6,1,5]
[1,3,7,6,4,2,5,8]=>[6,5,7,2,4,1,3,8]
[1,3,2,4,8,5,7,6]=>[8,2,6,7,1,3,4,5]
[1,3,8,7,5,2,4,6]=>[6,7,5,8,2,4,1,3]
[1,4,6,3,2,7,5,8]=>[2,4,7,5,1,3,6,8]
[1,4,6,3,2,8,7,5]=>[8,2,4,3,7,1,5,6]
[1,5,7,6,4,2,3,8]=>[2,6,7,5,4,1,3,8]
[1,6,3,2,8,4,7,5]=>[8,3,6,2,7,1,4,5]
[1,6,3,5,2,7,4,8]=>[7,3,5,4,1,2,6,8]
[1,6,3,5,2,8,7,4]=>[4,8,3,2,7,1,5,6]
[1,8,3,7,5,2,4,6]=>[6,7,3,5,8,4,1,2]
[6,4,7,1,5,3,8,2]=>[2,6,5,1,8,4,3,7]
[5,3,8,2,6,4,7,1]=>[6,2,1,4,5,8,7,3]
[4,3,8,2,6,5,7,1]=>[1,6,2,4,5,8,7,3]
[2,6,1,8,3,4,7,5]=>[8,5,6,1,2,7,3,4]
[5,7,1,4,8,2,3,6]=>[6,4,1,7,8,3,2,5]
[6,5,7,1,4,3,8,2]=>[6,5,2,1,8,4,3,7]
[4,8,3,5,7,6,1,2]=>[1,3,4,7,8,6,5,2]
[5,7,6,1,2,4,8,3]=>[6,1,8,4,5,3,2,7]
[4,8,3,5,7,6,2,1]=>[8,1,3,4,7,6,5,2]
[1,3,4,2,8,5,7,6]=>[8,2,3,6,7,1,4,5]
[5,7,6,2,4,8,3,1]=>[1,5,8,4,3,2,7,6]
[6,7,5,2,3,8,4,1]=>[8,4,1,5,3,2,7,6]
[6,7,5,3,8,4,2,1]=>[1,8,4,3,2,7,6,5]
[3,2,1,4,8,5,7,6]=>[1,8,2,6,7,3,4,5]
[7,3,1,4,2,6,5,8]=>[4,2,7,3,5,6,1,8]
[7,4,1,6,2,5,3,8]=>[7,5,2,6,3,4,1,8]
[5,4,1,8,2,6,3,7]=>[7,5,2,1,6,8,3,4]
[5,3,1,8,2,6,4,7]=>[2,7,5,1,6,8,3,4]
[4,7,1,5,2,6,3,8]=>[1,7,5,3,4,6,2,8]
[6,5,1,4,2,7,3,8]=>[7,5,3,4,2,1,6,8]
[1,8,7,3,4,5,2,6]=>[4,5,7,6,8,3,1,2]
[1,8,7,4,5,2,3,6]=>[6,4,7,5,8,3,1,2]
[1,2,6,8,7,3,4,5]=>[6,3,7,8,5,1,2,4]
[1,3,7,8,4,5,6,2]=>[5,6,3,8,2,7,1,4]
[8,4,2,3,1,6,5,7]=>[3,4,2,7,5,6,8,1]
[6,4,5,2,8,1,7,3]=>[2,8,4,3,1,6,7,5]
[4,8,6,2,3,1,7,5]=>[1,4,5,8,6,3,7,2]
[6,4,2,1,8,5,3,7]=>[7,3,2,6,1,8,4,5]
[4,2,6,1,5,8,3,7]=>[5,1,7,2,3,8,4,6]
[6,4,2,3,5,8,1,7]=>[3,4,2,5,1,7,8,6]
[2,8,6,4,5,1,7,3]=>[4,8,6,5,1,3,7,2]
[8,2,4,6,7,1,5,3]=>[8,3,6,2,4,7,5,1]
[2,6,3,1,7,4,8,5]=>[8,3,6,1,4,2,5,7]
[6,5,1,8,3,2,7,4]=>[5,8,6,2,1,7,3,4]
[1,4,3,7,2,8,6,5]=>[8,2,7,3,5,1,4,6]
[1,8,7,4,5,3,2,6]=>[4,7,6,5,8,3,1,2]
[2,8,3,1,4,5,7,6]=>[3,8,1,4,5,6,7,2]
[6,1,7,2,8,4,5,3]=>[6,8,7,4,2,1,3,5]
[8,3,2,1,5,6,7,4]=>[3,2,5,6,8,4,7,1]
[3,2,6,7,8,4,5,1]=>[3,6,1,4,8,2,7,5]
[1,7,4,6,3,8,2,5]=>[3,5,7,4,2,8,1,6]
[5,6,4,1,3,8,2,7]=>[5,1,7,3,2,8,4,6]
[4,5,3,1,8,7,6,2]=>[1,2,8,3,7,6,4,5]
[6,3,4,2,7,8,5,1]=>[2,3,5,1,8,4,7,6]
[8,7,4,5,1,6,3,2]=>[3,8,7,5,4,6,2,1]
[6,2,7,8,1,3,5,4]=>[8,5,6,2,1,3,7,4]
[5,1,8,4,3,7,2,6]=>[5,4,1,7,8,6,2,3]
[7,2,8,1,4,5,6,3]=>[5,6,8,2,4,1,7,3]
[1,4,8,2,5,6,7,3]=>[2,5,6,8,4,7,1,3]
[8,1,6,7,2,5,4,3]=>[8,7,5,3,6,2,4,1]
[7,5,2,3,6,8,4,1]=>[5,8,3,2,4,1,7,6]
[8,1,4,6,5,3,2,7]=>[7,3,6,5,2,4,8,1]
[8,1,4,7,6,5,2,3]=>[7,8,3,6,5,2,4,1]
[8,1,2,7,6,5,4,3]=>[8,7,6,5,2,3,4,1]
[4,5,8,1,6,7,2,3]=>[1,2,7,5,8,4,6,3]
[3,2,8,6,1,5,7,4]=>[6,8,1,5,2,4,7,3]
[3,7,2,5,8,4,6,1]=>[4,6,8,1,3,2,7,5]
[6,7,8,4,1,5,2,3]=>[7,1,8,5,4,2,6,3]
[6,2,8,3,5,1,4,7]=>[4,6,7,2,1,5,8,3]
[6,2,7,4,5,3,1,8]=>[4,7,6,2,1,5,3,8]
[6,8,2,5,3,4,1,7]=>[5,7,3,1,6,4,8,2]
[6,8,7,5,4,1,2,3]=>[6,1,7,8,5,4,3,2]
[7,4,5,6,1,8,2,3]=>[2,7,3,8,5,4,1,6]
[6,3,5,2,8,1,7,4]=>[8,2,4,3,1,6,7,5]
[6,1,8,7,4,5,2,3]=>[7,5,1,8,6,4,2,3]
[4,8,7,1,6,3,2,5]=>[7,1,6,8,4,5,3,2]
[4,8,2,7,5,3,6,1]=>[6,1,5,8,3,7,4,2]
[1,3,2,6,8,7,4,5]=>[4,7,8,2,6,1,3,5]
[1,3,8,2,5,4,6,7]=>[6,2,4,5,7,8,1,3]
[1,6,2,5,8,7,3,4]=>[4,7,2,8,6,1,3,5]
[1,6,8,7,2,3,5,4]=>[8,5,2,6,7,4,1,3]
[1,6,8,7,2,5,3,4]=>[7,2,8,5,6,4,1,3]
[1,5,2,4,8,3,6,7]=>[4,6,2,7,8,1,3,5]
[1,2,4,5,8,6,3,7]=>[7,3,4,6,8,1,2,5]
[1,2,8,3,5,4,7,6]=>[5,8,4,6,7,1,2,3]
[1,3,8,2,5,4,7,6]=>[5,8,2,4,6,7,1,3]
[1,6,7,5,2,4,8,3]=>[6,2,8,5,4,1,3,7]
[1,5,6,4,7,2,3,8]=>[2,6,4,3,7,1,5,8]
[1,7,4,2,5,8,3,6]=>[5,3,7,8,4,1,2,6]
[1,6,4,3,7,5,2,8]=>[3,7,4,2,6,1,5,8]
[1,6,5,4,7,2,3,8]=>[6,4,3,2,7,1,5,8]
[1,7,3,2,6,4,8,5]=>[8,3,6,4,5,1,2,7]
[1,5,8,2,3,6,7,4]=>[6,2,8,4,5,7,1,3]
[1,3,2,6,8,5,4,7]=>[4,7,2,6,8,1,3,5]
[1,6,3,2,7,4,5,8]=>[3,6,7,4,1,2,5,8]
[1,7,8,5,4,2,3,6]=>[6,7,5,4,2,8,1,3]
[1,8,4,2,3,6,5,7]=>[7,4,3,5,6,8,1,2]
[1,4,2,7,5,3,8,6]=>[2,5,8,6,1,3,4,7]
[1,5,7,6,2,4,3,8]=>[2,7,5,6,4,1,3,8]
[1,8,4,7,3,2,6,5]=>[3,5,8,6,7,4,1,2]
[1,3,8,4,2,6,5,7]=>[4,7,2,5,6,8,1,3]
[1,7,4,2,6,5,8,3]=>[3,6,5,8,4,1,2,7]
[1,6,5,8,3,7,4,2]=>[3,2,8,5,7,6,1,4]
[1,7,4,8,3,2,5,6]=>[3,6,5,7,2,8,1,4]
[1,4,8,3,2,7,5,6]=>[2,4,7,8,5,6,1,3]
[1,8,3,6,4,5,2,7]=>[5,7,3,6,4,8,1,2]
[1,6,4,7,3,2,8,5]=>[3,5,2,8,6,1,4,7]
[8,2,3,7,4,5,6,1]=>[5,6,8,2,3,7,4,1]
[8,5,7,2,3,6,4,1]=>[8,4,2,5,7,6,3,1]
[7,5,2,1,6,8,3,4]=>[7,3,5,2,8,4,1,6]
[7,6,1,5,4,8,2,3]=>[7,5,4,8,3,2,1,6]
[7,6,3,2,1,8,4,5]=>[4,3,7,8,5,2,1,6]
[2,8,7,3,4,6,1,5]=>[4,5,7,8,6,1,3,2]
[6,5,1,3,7,2,8,4]=>[8,4,6,3,2,1,5,7]
[8,1,7,3,4,5,2,6]=>[4,5,7,6,8,2,3,1]
[7,1,8,3,4,5,2,6]=>[4,5,7,6,8,2,1,3]
[6,8,7,3,4,2,1,5]=>[4,1,7,6,5,8,3,2]
[3,8,7,1,2,4,5,6]=>[1,4,5,6,7,8,3,2]
[1,8,5,3,4,6,2,7]=>[4,5,3,7,6,8,1,2]
[7,1,6,5,4,3,8,2]=>[6,5,4,3,8,2,1,7]
[7,1,3,6,4,5,8,2]=>[5,6,3,4,8,2,1,7]
[7,1,5,3,6,4,8,2]=>[6,4,3,5,8,2,1,7]
[6,1,5,3,7,8,2,4]=>[7,4,3,5,1,8,2,6]
[5,8,7,1,2,6,3,4]=>[7,1,8,4,5,6,3,2]
[6,8,2,3,4,7,1,5]=>[3,4,5,1,7,8,6,2]
[5,1,7,3,8,6,2,4]=>[7,1,8,4,3,6,2,5]
[6,1,3,2,4,7,8,5]=>[3,6,8,2,4,1,5,7]
[6,2,1,3,4,7,8,5]=>[2,6,8,3,4,1,5,7]
[3,2,5,8,7,4,1,6]=>[7,1,3,6,8,2,5,4]
[4,2,5,8,7,3,1,6]=>[1,7,3,6,8,2,5,4]
[8,3,4,1,6,5,2,7]=>[2,3,7,6,4,5,8,1]
[3,4,8,5,7,2,1,6]=>[4,7,1,2,6,8,5,3]
[3,6,4,8,5,7,2,1]=>[5,2,8,1,3,7,6,4]
[5,8,4,7,3,6,2,1]=>[1,3,5,8,7,6,4,2]
[4,2,8,7,3,1,6,5]=>[1,5,8,6,7,2,4,3]
[6,5,8,2,1,7,4,3]=>[8,4,2,1,7,5,6,3]
[6,1,4,3,8,7,2,5]=>[3,7,8,4,1,6,2,5]
[5,1,3,2,6,8,7,4]=>[8,3,5,1,7,2,4,6]
[6,1,3,8,7,2,4,5]=>[6,7,8,3,1,5,2,4]
[1,2,8,4,5,7,3,6]=>[4,5,7,8,6,1,2,3]
[4,2,1,8,7,6,3,5]=>[1,7,8,6,2,5,3,4]
[3,2,5,8,7,1,4,6]=>[1,3,6,7,8,2,5,4]
[5,6,3,8,7,2,1,4]=>[1,7,3,2,6,8,5,4]
[2,5,8,4,7,1,6,3]=>[2,4,8,6,7,1,5,3]
[1,6,2,4,8,5,7,3]=>[6,8,4,2,7,1,3,5]
[3,1,6,5,8,7,2,4]=>[4,1,3,7,8,6,2,5]
[4,8,5,3,6,7,1,2]=>[4,1,3,7,5,8,6,2]
[1,8,5,3,4,7,6,2]=>[8,4,3,5,7,6,1,2]
[2,7,1,3,6,4,5,8]=>[6,7,1,3,4,5,2,8]
[8,1,7,3,5,4,6,2]=>[6,4,5,8,7,2,3,1]
[1,8,6,3,2,5,4,7]=>[4,7,5,6,3,8,1,2]
[3,2,4,8,5,7,1,6]=>[1,5,7,8,2,3,6,4]
[8,1,2,4,7,5,6,3]=>[6,8,4,7,2,3,5,1]
[6,4,5,8,3,1,7,2]=>[2,3,1,8,6,5,7,4]
[8,6,2,1,5,7,3,4]=>[7,3,5,8,4,2,6,1]
[8,7,2,4,1,5,3,6]=>[7,3,5,4,6,8,2,1]
[7,5,3,4,8,6,2,1]=>[8,3,2,4,1,7,6,5]
[2,8,3,1,4,6,7,5]=>[3,6,8,1,4,5,7,2]
[4,3,6,5,1,2,7,8]=>[2,1,5,6,4,3,7,8]
[5,8,3,7,6,4,2,1]=>[8,1,7,3,6,5,4,2]
[1,3,8,7,6,5,2,4]=>[7,8,6,5,2,4,1,3]
[4,8,7,2,6,3,1,5]=>[7,1,4,6,8,5,3,2]
[1,8,7,2,6,3,5,4]=>[8,6,7,4,5,3,1,2]
[8,7,2,1,4,3,5,6]=>[3,6,4,5,7,8,2,1]
[2,8,7,1,6,3,4,5]=>[6,7,8,4,5,1,3,2]
[4,2,8,7,6,5,1,3]=>[7,8,1,6,5,2,4,3]
[8,4,2,7,6,5,3,1]=>[8,2,7,6,3,5,4,1]
[6,8,7,5,2,4,3,1]=>[1,8,5,7,6,4,3,2]
[1,2,5,7,4,8,6,3]=>[8,3,5,4,7,1,2,6]
[6,2,1,8,7,5,3,4]=>[7,8,6,2,1,5,3,4]
[6,3,8,7,4,5,2,1]=>[5,1,8,7,2,6,4,3]
[4,6,5,3,2,8,1,7]=>[5,1,4,3,2,7,8,6]
[2,8,3,4,1,5,6,7]=>[3,5,1,4,6,7,8,2]
[1,3,7,5,4,8,6,2]=>[4,8,5,2,3,7,1,6]
[4,5,6,3,1,8,2,7]=>[1,2,7,4,3,8,5,6]
[5,2,1,4,3,6,8,7]=>[2,4,8,3,1,5,6,7]
[1,5,6,3,8,4,2,7]=>[2,7,4,3,6,8,1,5]
[2,6,5,3,8,4,1,7]=>[7,4,3,1,2,6,8,5]
[5,7,3,8,4,2,6,1]=>[1,6,3,5,2,8,7,4]
[5,3,6,2,8,4,1,7]=>[7,2,1,4,3,6,8,5]
[2,3,6,5,4,8,1,7]=>[5,4,1,2,3,7,8,6]
[3,7,5,4,8,2,6,1]=>[4,3,6,1,2,8,7,5]
[5,3,7,1,2,8,4,6]=>[2,7,1,8,4,5,3,6]
[6,3,8,7,2,5,4,1]=>[8,5,1,7,2,6,4,3]
[2,8,7,6,1,5,3,4]=>[7,8,5,6,4,1,3,2]
[6,8,4,1,7,5,2,3]=>[7,3,1,8,6,4,5,2]
[8,1,4,6,7,5,2,3]=>[7,3,4,8,6,2,5,1]
[2,6,8,1,4,7,5,3]=>[8,5,2,7,1,4,6,3]
[6,4,8,1,2,7,5,3]=>[2,8,7,4,1,5,6,3]
[8,1,4,6,7,2,5,3]=>[8,3,6,4,7,2,5,1]
[8,2,1,6,7,4,5,3]=>[6,4,8,2,7,3,5,1]
[8,2,6,1,7,4,5,3]=>[6,8,7,2,4,3,5,1]
[4,2,8,1,6,7,5,3]=>[1,5,8,7,2,4,6,3]
[8,1,2,6,4,7,5,3]=>[8,5,4,7,2,3,6,1]
[8,4,1,6,2,7,5,3]=>[2,8,7,5,3,4,6,1]
[4,8,1,2,6,7,5,3]=>[1,5,8,7,3,4,6,2]
[8,1,6,2,4,7,5,3]=>[8,5,7,4,2,3,6,1]
[8,2,4,6,1,7,5,3]=>[8,3,7,2,5,4,6,1]
[5,4,7,6,3,1,2,8]=>[2,1,6,7,5,4,3,8]
[3,6,4,8,1,5,2,7]=>[3,7,1,5,2,6,8,4]
[3,6,8,4,1,5,2,7]=>[7,5,1,4,2,6,8,3]
[8,7,1,4,2,3,5,6]=>[5,6,3,4,7,8,2,1]
[3,8,6,4,1,5,2,7]=>[7,5,1,4,6,3,8,2]
[8,2,6,5,7,1,3,4]=>[6,7,4,2,3,8,5,1]
[4,6,1,3,2,8,7,5]=>[1,8,4,7,3,2,5,6]
[7,1,4,8,2,3,6,5]=>[3,8,5,6,7,2,1,4]
[4,5,3,6,7,1,8,2]=>[1,3,2,4,8,6,5,7]
[1,4,7,8,3,5,2,6]=>[5,7,2,6,3,8,1,4]
[4,6,1,3,5,2,8,7]=>[4,1,5,8,3,2,6,7]
[2,5,1,4,8,3,7,6]=>[8,4,1,2,6,7,3,5]
[6,1,2,5,4,8,7,3]=>[4,8,5,7,2,1,3,6]
[8,4,1,7,3,5,6,2]=>[5,2,6,8,7,3,4,1]
[8,4,1,2,5,7,3,6]=>[5,7,2,8,3,4,6,1]
[2,4,5,6,8,3,1,7]=>[2,3,4,7,1,6,8,5]
[3,4,5,8,6,2,1,7]=>[7,1,2,3,6,5,8,4]
[4,5,1,8,6,3,7,2]=>[1,2,6,5,8,7,3,4]
[8,3,7,2,1,6,5,4]=>[8,2,4,7,5,6,3,1]
[8,4,7,6,2,5,1,3]=>[2,5,7,8,6,4,3,1]
[8,4,7,3,6,2,1,5]=>[2,4,7,6,8,5,3,1]
[3,8,7,5,6,4,1,2]=>[7,4,8,6,1,5,3,2]
[3,8,7,5,6,2,1,4]=>[7,6,4,8,1,5,3,2]
[3,8,7,5,6,2,4,1]=>[6,4,8,7,1,5,3,2]
[2,8,7,5,6,4,1,3]=>[7,4,8,6,5,1,3,2]
[1,5,6,3,8,2,7,4]=>[2,8,4,3,6,7,1,5]
[2,6,3,8,4,7,1,5]=>[5,7,2,8,1,3,6,4]
[2,6,3,5,7,8,1,4]=>[4,7,3,1,2,5,8,6]
[1,5,6,3,7,2,8,4]=>[2,8,4,3,6,1,5,7]
[1,7,5,3,6,2,8,4]=>[8,4,3,6,5,1,2,7]
[1,5,7,3,4,2,8,6]=>[4,2,5,8,6,1,3,7]
[1,5,8,3,4,2,7,6]=>[4,2,5,8,6,7,1,3]
[1,4,5,3,7,2,8,6]=>[2,3,8,4,6,1,5,7]
[1,4,5,3,8,2,7,6]=>[2,3,8,4,6,7,1,5]
[6,5,1,4,2,7,8,3]=>[6,4,8,3,2,1,5,7]
[6,5,1,4,2,8,7,3]=>[4,8,7,3,2,1,5,6]
[1,7,5,4,2,8,6,3]=>[4,3,8,7,5,1,2,6]
[5,1,6,8,3,7,2,4]=>[5,3,1,7,8,6,2,4]
[3,8,5,2,1,4,7,6]=>[4,8,1,5,3,6,7,2]
[3,5,4,8,2,6,7,1]=>[3,1,2,5,6,8,7,4]
[5,4,7,1,8,6,3,2]=>[1,8,2,7,6,4,3,5]
[1,4,8,2,6,5,3,7]=>[7,2,6,4,5,8,1,3]
[8,5,1,3,6,2,4,7]=>[4,6,7,3,2,5,8,1]
[7,5,1,8,3,4,2,6]=>[5,7,6,2,8,3,1,4]
[5,2,8,1,7,4,3,6]=>[7,6,1,8,2,4,5,3]
[1,4,8,2,6,7,3,5]=>[7,2,5,8,4,6,1,3]
[1,2,5,6,8,7,3,4]=>[3,4,7,8,6,1,2,5]
[1,5,6,8,2,7,4,3]=>[2,3,8,7,5,6,1,4]
[2,6,7,3,4,1,8,5]=>[4,5,2,8,1,6,3,7]
[1,6,5,7,8,2,4,3]=>[3,2,8,6,4,7,1,5]
[1,5,6,7,2,8,4,3]=>[2,3,8,7,5,1,4,6]
[3,7,6,1,8,2,4,5]=>[6,7,8,1,4,3,2,5]
[1,3,7,2,6,4,8,5]=>[8,6,2,4,5,1,3,7]
[1,5,8,6,7,3,4,2]=>[6,2,4,8,7,5,1,3]
[1,6,5,8,7,2,4,3]=>[3,2,8,6,7,5,1,4]
[1,5,7,6,2,8,3,4]=>[2,7,8,5,4,1,3,6]
[1,2,5,8,6,7,4,3]=>[5,8,3,7,6,1,2,4]
[1,2,6,5,7,3,8,4]=>[4,3,8,6,1,2,5,7]
[1,7,5,8,6,4,2,3]=>[3,7,2,8,6,5,1,4]
[3,6,5,8,1,2,7,4]=>[8,5,1,3,2,6,7,4]
[5,4,7,8,1,6,3,2]=>[1,8,2,7,5,3,6,4]
[2,5,6,8,1,3,7,4]=>[2,8,5,1,3,6,7,4]
[5,3,6,8,1,2,7,4]=>[8,2,1,5,3,6,7,4]
[4,6,5,8,3,2,7,1]=>[3,1,2,6,5,8,7,4]
[4,5,6,8,2,3,7,1]=>[1,2,5,3,6,8,7,4]
[2,5,8,7,1,6,4,3]=>[8,2,7,5,6,1,4,3]
[4,7,5,8,3,6,2,1]=>[3,5,1,2,8,7,6,4]
[7,3,6,8,5,2,1,4]=>[7,6,2,3,1,8,5,4]
[8,3,6,7,5,2,4,1]=>[6,3,8,2,7,5,4,1]
[8,4,5,7,3,6,2,1]=>[2,3,5,8,7,6,4,1]
[2,4,7,8,5,6,3,1]=>[5,3,8,2,7,1,6,4]
[3,6,8,7,5,2,4,1]=>[2,6,8,7,1,5,4,3]
[6,4,7,8,5,1,3,2]=>[8,2,1,6,3,7,5,4]
[7,8,4,6,5,3,1,2]=>[3,7,1,8,6,5,4,2]
[6,8,4,7,5,1,3,2]=>[3,1,8,6,7,5,4,2]
[7,6,1,2,3,5,4,8]=>[7,3,4,5,6,2,1,8]
[2,8,7,5,1,6,3,4]=>[7,8,5,4,6,1,3,2]
[8,7,6,4,2,1,5,3]=>[5,8,6,4,7,3,2,1]
[3,8,7,5,2,6,4,1]=>[8,5,4,7,1,6,3,2]
[3,8,7,5,1,2,6,4]=>[8,5,6,1,4,7,3,2]
[5,8,3,7,1,4,6,2]=>[3,1,6,8,5,7,4,2]
[3,8,7,4,2,6,5,1]=>[4,8,5,7,1,6,3,2]
[5,8,3,2,4,7,6,1]=>[3,1,8,4,5,7,6,2]
[1,3,4,7,2,6,5,8]=>[7,2,3,5,6,1,4,8]
[2,5,1,4,3,6,7,8]=>[5,1,3,4,2,6,7,8]
[5,3,8,2,4,6,1,7]=>[2,4,1,5,7,6,8,3]
[4,5,8,3,2,6,1,7]=>[1,2,5,4,7,6,8,3]
[5,8,2,1,4,6,3,7]=>[3,5,1,7,4,6,8,2]
[4,1,5,8,3,6,2,7]=>[3,1,5,7,6,8,2,4]
[4,5,8,3,6,1,2,7]=>[1,2,6,4,7,5,8,3]
[3,2,7,1,8,5,4,6]=>[7,1,6,8,2,4,3,5]
[4,7,8,5,2,3,1,6]=>[5,7,1,6,4,2,8,3]
[6,2,7,8,1,5,3,4]=>[7,8,5,2,1,3,6,4]
[2,7,1,3,8,5,4,6]=>[7,6,8,1,3,4,2,5]
[2,6,7,8,4,1,3,5]=>[6,2,7,5,1,3,8,4]
[2,6,7,8,4,3,1,5]=>[2,7,6,5,1,3,8,4]
[7,1,2,6,3,8,4,5]=>[7,8,5,2,3,4,1,6]
[8,1,2,6,5,3,7,4]=>[8,6,5,2,3,4,7,1]
[8,5,4,6,1,2,7,3]=>[8,5,3,2,6,4,7,1]
[7,4,1,8,2,5,3,6]=>[7,5,2,6,8,3,1,4]
[7,2,1,8,3,6,4,5]=>[7,8,2,5,6,3,1,4]
[6,8,7,3,1,2,4,5]=>[5,6,4,1,7,8,3,2]
[7,4,8,3,1,2,6,5]=>[2,8,5,4,6,1,7,3]
[8,4,5,3,1,6,7,2]=>[2,6,4,3,8,5,7,1]
[8,2,3,1,6,7,4,5]=>[7,2,3,5,8,4,6,1]
[8,2,1,7,4,3,5,6]=>[6,2,5,7,8,3,4,1]
[7,2,6,8,4,1,3,5]=>[6,7,5,2,3,1,8,4]
[7,2,5,1,6,8,3,4]=>[7,5,2,3,8,4,1,6]
[6,2,1,7,4,8,3,5]=>[5,7,2,4,1,8,3,6]
[1,7,4,3,2,5,6,8]=>[5,4,3,6,7,1,2,8]
[1,7,4,3,6,2,5,8]=>[4,3,6,7,5,1,2,8]
[3,7,5,8,2,4,6,1]=>[5,3,6,1,2,8,7,4]
[5,2,1,6,3,4,8,7]=>[8,2,5,3,1,4,6,7]
[5,1,3,4,6,2,8,7]=>[3,4,5,1,8,2,6,7]
[3,8,4,5,7,2,6,1]=>[3,4,6,8,1,7,5,2]
[3,8,4,7,5,6,2,1]=>[5,8,3,7,1,6,4,2]
[4,2,8,6,3,7,5,1]=>[8,1,5,4,7,2,6,3]
[4,1,7,6,3,8,5,2]=>[8,1,5,4,3,7,2,6]
[7,4,1,8,5,3,6,2]=>[2,6,5,8,7,3,1,4]
[3,5,6,8,4,7,1,2]=>[2,3,7,1,5,8,6,4]
[5,4,1,8,6,7,2,3]=>[2,1,7,5,8,6,3,4]
[6,2,8,4,5,3,7,1]=>[4,6,5,1,8,2,7,3]
[4,5,2,1,8,7,3,6]=>[1,7,2,8,3,6,4,5]
[4,7,3,8,2,6,5,1]=>[8,1,3,5,2,7,6,4]
[4,7,3,1,8,6,2,5]=>[1,3,7,8,6,4,2,5]
[6,2,1,3,7,4,8,5]=>[8,2,6,3,4,1,5,7]
[6,3,7,1,2,5,8,4]=>[2,6,8,4,1,5,3,7]
[5,1,4,7,8,2,6,3]=>[8,3,1,6,4,7,2,5]
[7,2,5,8,1,3,6,4]=>[8,5,2,3,6,1,7,4]
[8,3,6,7,2,4,5,1]=>[5,6,2,3,8,7,4,1]
[3,8,7,5,2,1,6,4]=>[5,8,6,1,4,7,3,2]
[3,8,5,6,2,7,4,1]=>[3,8,5,1,4,7,6,2]
[3,6,5,8,4,2,7,1]=>[3,2,6,1,5,8,7,4]
[6,8,3,2,5,7,4,1]=>[3,5,1,8,4,7,6,2]
[4,1,5,6,8,7,3,2]=>[1,8,3,4,7,6,2,5]
[8,4,2,3,6,7,5,1]=>[5,2,8,3,4,7,6,1]
[6,1,2,4,5,7,8,3]=>[4,5,6,8,2,1,3,7]
[4,5,1,3,7,6,8,2]=>[1,6,4,2,5,8,3,7]
[3,5,4,8,6,2,7,1]=>[2,6,1,3,5,8,7,4]
[3,6,2,4,5,8,7,1]=>[8,1,3,4,2,5,7,6]
[8,1,3,7,4,5,6,2]=>[5,6,8,3,7,2,4,1]
[8,1,5,3,6,4,7,2]=>[6,4,3,5,8,2,7,1]
[2,6,4,8,3,1,5,7]=>[3,6,5,1,2,7,8,4]
[2,6,4,1,5,8,7,3]=>[3,8,5,1,2,7,4,6]
[3,5,1,4,6,2,7,8]=>[1,4,6,3,2,5,7,8]
[7,6,5,2,4,3,8,1]=>[6,4,5,3,2,1,8,7]
[3,6,4,5,2,8,1,7]=>[3,5,1,4,2,7,8,6]
[8,1,5,4,7,3,6,2]=>[4,3,6,8,7,2,5,1]
[7,6,5,4,1,8,2,3]=>[7,8,5,4,3,2,1,6]
[3,6,4,1,5,7,2,8]=>[5,1,3,7,4,2,6,8]
[8,1,5,4,7,6,3,2]=>[3,8,4,7,6,2,5,1]
[3,6,4,1,5,7,8,2]=>[5,1,3,6,2,8,4,7]
[7,6,5,2,8,4,1,3]=>[7,8,4,3,2,1,6,5]
[3,1,6,5,2,8,7,4]=>[4,1,3,8,7,2,5,6]
[1,7,2,4,3,5,8,6]=>[4,8,3,5,6,1,2,7]
[3,8,1,7,4,2,6,5]=>[5,8,1,6,7,3,4,2]
[8,1,7,4,3,5,6,2]=>[5,4,6,8,7,2,3,1]
[6,8,2,4,5,3,7,1]=>[4,6,3,1,5,8,7,2]
[4,8,5,3,6,1,7,2]=>[4,1,3,8,6,5,7,2]
[2,8,3,1,4,7,5,6]=>[3,7,8,1,4,5,6,2]
[8,6,3,2,7,4,1,5]=>[3,7,4,6,2,8,5,1]
[2,7,3,1,8,4,5,6]=>[3,6,7,8,1,4,2,5]
[1,2,8,3,5,6,4,7]=>[5,7,4,6,8,1,2,3]
[3,5,7,4,8,1,6,2]=>[2,4,8,1,6,3,7,5]
[2,8,1,3,5,4,6,7]=>[6,1,3,4,5,7,8,2]
[1,5,2,8,6,4,3,7]=>[2,7,6,5,8,1,3,4]
[7,4,8,6,3,1,2,5]=>[2,6,7,5,1,8,4,3]
[3,6,8,4,1,2,5,7]=>[5,6,1,4,2,7,8,3]
[4,7,8,5,2,1,3,6]=>[6,1,5,7,4,2,8,3]
[6,1,5,2,8,7,3,4]=>[7,3,8,6,2,1,4,5]
[8,1,3,5,7,4,2,6]=>[4,7,3,6,8,2,5,1]
[3,1,8,5,4,7,2,6]=>[5,1,4,7,8,6,2,3]
[3,1,6,4,8,5,2,7]=>[7,1,4,3,6,8,2,5]
[5,1,3,4,2,6,8,7]=>[3,4,8,2,1,5,6,7]
[3,2,6,4,1,5,7,8]=>[1,5,2,4,6,3,7,8]
[5,4,2,1,8,3,6,7]=>[3,6,2,1,7,8,4,5]
[4,2,5,1,8,7,3,6]=>[3,1,7,8,2,6,4,5]
[6,8,2,7,1,4,3,5]=>[7,3,5,1,6,8,4,2]
[1,8,4,7,3,2,5,6]=>[3,6,5,7,8,4,1,2]
[8,6,3,1,5,7,2,4]=>[3,7,5,8,4,2,6,1]
[5,8,3,1,4,7,6,2]=>[3,1,8,5,7,4,6,2]
[1,2,5,4,7,8,3,6]=>[3,7,4,5,8,1,2,6]
[1,8,3,2,6,4,7,5]=>[8,3,6,4,5,7,1,2]
[4,7,1,2,5,3,6,8]=>[6,3,1,4,5,7,2,8]
[6,8,4,1,3,7,2,5]=>[5,7,3,1,8,4,6,2]
[3,2,6,1,7,8,5,4]=>[5,1,3,8,2,7,4,6]
[7,6,4,1,8,3,5,2]=>[6,3,8,7,4,2,1,5]
[5,4,1,6,7,3,2,8]=>[4,2,1,7,6,3,5,8]
[7,4,1,6,5,8,2,3]=>[2,7,5,4,8,3,1,6]
[8,5,4,1,6,7,3,2]=>[5,3,2,8,7,4,6,1]
[5,2,1,6,4,7,8,3]=>[5,2,4,1,6,8,3,7]
[1,6,2,3,5,7,8,4]=>[5,6,8,3,1,2,4,7]
[1,3,4,8,5,2,6,7]=>[6,2,3,5,7,8,1,4]
[8,2,4,6,1,7,3,5]=>[3,7,8,2,5,4,6,1]
[1,5,7,2,3,6,8,4]=>[6,2,8,4,5,1,3,7]
[7,3,1,4,2,5,8,6]=>[4,2,8,3,5,6,1,7]
[3,2,5,7,8,4,1,6]=>[7,1,3,6,2,4,8,5]
[4,3,5,1,6,2,7,8]=>[2,1,6,4,3,5,7,8]
[8,6,3,5,4,1,2,7]=>[3,6,7,5,4,2,8,1]
[8,3,2,6,1,5,4,7]=>[2,7,3,5,6,4,8,1]
[8,5,1,7,4,6,2,3]=>[7,5,2,8,6,3,4,1]
[4,8,1,7,6,3,5,2]=>[6,8,1,7,5,3,4,2]
[8,5,1,7,4,3,6,2]=>[6,5,2,8,7,3,4,1]
[8,5,7,6,2,1,3,4]=>[6,5,2,7,8,4,3,1]
[5,4,8,3,1,7,2,6]=>[2,1,7,4,8,5,6,3]
[5,1,4,8,3,2,7,6]=>[3,5,1,8,6,7,2,4]
[4,8,1,7,6,5,2,3]=>[7,8,1,6,5,3,4,2]
[4,3,8,7,2,6,1,5]=>[1,5,7,8,2,6,4,3]
[3,8,7,2,6,4,1,5]=>[7,4,6,8,1,5,3,2]
[8,2,5,7,4,3,6,1]=>[3,6,5,8,2,7,4,1]
[3,8,7,4,6,1,2,5]=>[6,4,7,8,1,5,3,2]
[8,7,6,3,5,4,1,2]=>[4,7,8,6,5,3,2,1]
[2,8,4,7,6,1,5,3]=>[8,3,6,7,5,1,4,2]
[2,5,4,8,3,1,7,6]=>[3,2,5,8,1,6,7,4]
[5,4,8,2,1,3,7,6]=>[4,2,1,8,5,6,7,3]
[3,8,7,2,6,1,5,4]=>[8,4,6,7,1,5,3,2]
[1,8,4,7,6,3,5,2]=>[6,8,3,7,5,4,1,2]
[1,8,3,7,6,5,2,4]=>[7,8,6,3,5,4,1,2]
[1,4,3,8,7,2,6,5]=>[8,2,6,7,3,5,1,4]
[7,1,5,4,6,2,3,8]=>[6,4,3,7,2,5,1,8]
[5,4,3,1,7,6,2,8]=>[3,2,1,7,6,4,5,8]
[4,1,3,7,5,6,2,8]=>[5,1,7,3,6,2,4,8]
[2,6,8,3,1,7,4,5]=>[4,7,2,8,1,5,6,3]
[2,5,4,8,1,7,3,6]=>[3,2,7,8,1,5,6,4]
[7,5,2,4,8,3,6,1]=>[4,6,2,8,3,1,7,5]
[7,8,2,6,3,5,4,1]=>[8,5,7,3,1,6,4,2]
[5,6,3,1,4,2,7,8]=>[6,4,3,1,5,2,7,8]
[2,6,5,3,4,8,7,1]=>[8,4,3,1,2,5,7,6]
[2,6,1,5,3,4,7,8]=>[5,6,1,3,4,2,7,8]
[3,6,2,7,4,5,1,8]=>[5,7,1,3,2,6,4,8]
[3,4,7,8,5,1,6,2]=>[8,6,1,2,5,3,7,4]
[3,6,2,4,7,8,5,1]=>[5,8,1,3,2,4,7,6]
[1,5,4,8,6,2,7,3]=>[2,8,3,6,5,7,1,4]
[4,5,2,7,6,3,8,1]=>[1,2,6,5,3,4,8,7]
[5,8,3,1,2,7,6,4]=>[3,1,8,7,4,5,6,2]
[7,6,2,5,3,8,4,1]=>[8,5,3,4,2,1,7,6]
[8,4,6,1,3,7,2,5]=>[5,2,7,8,4,3,6,1]
[4,8,5,1,2,3,6,7]=>[4,1,5,6,3,7,8,2]
[8,6,2,4,5,1,3,7]=>[6,3,4,7,5,2,8,1]
[4,5,1,3,8,6,2,7]=>[1,7,4,2,6,8,3,5]
[7,4,2,3,6,8,5,1]=>[5,2,8,3,4,1,7,6]
[2,1,6,7,4,8,3,5]=>[5,3,7,1,4,8,2,6]
[7,8,1,3,6,4,5,2]=>[6,8,4,7,3,1,5,2]
[7,2,6,8,4,5,3,1]=>[5,3,8,7,2,1,6,4]
[7,3,6,8,5,1,4,2]=>[8,6,2,3,1,7,5,4]
[7,5,8,1,6,2,4,3]=>[8,6,2,7,4,1,5,3]
[5,7,8,1,6,3,2,4]=>[1,7,6,8,4,2,5,3]
[7,2,6,8,5,1,4,3]=>[8,6,3,7,2,1,5,4]
[7,5,2,4,8,3,1,6]=>[4,7,3,2,6,1,8,5]
[7,8,3,1,6,2,5,4]=>[3,8,6,7,4,1,5,2]
[6,7,8,4,3,1,5,2]=>[1,8,6,5,4,2,7,3]
[7,8,3,6,4,1,5,2]=>[8,3,6,5,1,7,4,2]
[7,3,8,1,6,4,5,2]=>[6,8,2,7,4,1,5,3]
[1,7,5,8,2,4,6,3]=>[6,3,8,5,2,7,1,4]
[7,5,2,8,1,4,6,3]=>[6,8,3,2,5,1,7,4]
[3,7,8,2,6,5,1,4]=>[7,8,4,1,2,6,5,3]
[3,7,8,2,1,6,4,5]=>[4,7,8,1,5,2,6,3]
[7,8,1,6,3,5,4,2]=>[8,5,7,6,3,1,4,2]
[6,7,8,2,5,4,3,1]=>[1,8,7,4,2,6,5,3]
[6,7,8,3,1,5,4,2]=>[4,1,8,7,5,2,6,3]
[7,8,1,6,2,5,4,3]=>[8,7,5,6,3,1,4,2]
[5,6,1,4,3,8,2,7]=>[5,4,1,7,2,8,3,6]
[5,1,6,8,3,4,7,2]=>[5,3,1,6,8,7,2,4]
[7,1,6,8,5,4,3,2]=>[3,8,7,6,5,2,1,4]
[5,6,8,1,2,3,7,4]=>[8,4,1,5,2,6,7,3]
[4,8,1,2,7,6,5,3]=>[8,1,7,6,3,4,5,2]
[4,6,1,2,8,5,7,3]=>[1,6,8,7,3,2,4,5]
[6,4,7,3,5,2,1,8]=>[2,4,1,7,6,5,3,8]
[5,7,8,4,2,1,3,6]=>[1,6,5,7,4,2,8,3]
[6,4,8,3,5,2,1,7]=>[2,4,1,7,6,5,8,3]
[3,1,6,2,5,7,8,4]=>[1,5,6,3,8,2,4,7]
[2,1,6,3,5,7,4,8]=>[5,7,1,4,2,3,6,8]
[1,6,4,5,2,7,3,8]=>[3,7,5,4,1,2,6,8]
[1,4,7,3,2,5,6,8]=>[2,5,4,6,7,1,3,8]
[6,2,1,4,5,3,7,8]=>[2,4,6,3,5,1,7,8]
[6,2,1,5,7,3,4,8]=>[6,2,4,7,3,1,5,8]
[1,2,4,6,8,3,7,5]=>[4,8,3,6,7,1,2,5]
[1,3,5,8,2,6,7,4]=>[3,6,8,2,5,7,1,4]
[6,1,3,7,2,8,5,4]=>[8,7,3,5,2,1,4,6]
[6,4,5,8,3,7,1,2]=>[2,3,1,7,5,8,6,4]
[8,1,4,3,6,7,2,5]=>[3,7,4,5,8,2,6,1]
[2,6,8,4,3,1,7,5]=>[5,4,2,8,1,6,7,3]
[8,1,5,2,6,4,3,7]=>[7,6,4,2,3,5,8,1]
[1,6,7,4,2,8,3,5]=>[7,4,2,8,5,1,3,6]
[1,7,8,4,3,6,2,5]=>[5,4,7,2,8,6,1,3]
[1,5,8,7,4,3,2,6]=>[7,2,6,5,8,4,1,3]
[1,4,7,2,3,6,8,5]=>[2,6,8,4,5,1,3,7]
[3,1,2,6,7,8,5,4]=>[1,4,5,8,7,2,3,6]
[3,8,1,6,4,2,7,5]=>[5,8,1,6,3,4,7,2]
[1,6,3,4,7,8,2,5]=>[7,3,4,2,5,8,1,6]
[3,1,5,7,6,2,8,4]=>[8,1,3,6,5,2,4,7]
[6,3,1,4,2,7,8,5]=>[4,2,6,8,3,1,5,7]
[2,4,3,7,6,1,8,5]=>[8,2,6,1,3,5,4,7]
[3,1,7,6,5,2,8,4]=>[8,6,1,5,4,2,3,7]
[1,4,7,6,8,3,2,5]=>[7,6,2,4,3,8,1,5]
[7,2,1,5,6,3,8,4]=>[4,8,2,6,3,5,1,7]
[4,3,1,8,6,2,7,5]=>[1,8,2,6,5,7,3,4]
[3,1,5,2,8,7,6,4]=>[8,1,3,7,6,2,4,5]
[1,2,8,4,3,7,6,5]=>[8,4,7,5,6,1,2,3]
[2,6,1,8,7,4,3,5]=>[7,6,2,8,1,5,3,4]
[7,5,1,8,3,2,6,4]=>[5,8,6,2,7,3,1,4]
[4,7,6,3,1,8,2,5]=>[7,1,4,8,5,3,2,6]
[5,3,1,8,6,2,4,7]=>[2,6,1,7,5,8,3,4]
[5,1,8,6,3,2,4,7]=>[6,5,1,7,4,8,2,3]
[1,5,4,2,8,6,3,7]=>[3,2,7,6,8,1,4,5]
[1,4,2,8,5,3,7,6]=>[2,5,8,6,7,1,3,4]
[8,3,1,6,4,2,5,7]=>[2,6,5,7,3,4,8,1]
[1,7,4,8,3,5,2,6]=>[3,5,7,6,2,8,1,4]
[7,3,2,4,8,5,1,6]=>[2,7,3,4,6,1,8,5]
[5,7,8,1,4,2,6,3]=>[1,8,6,4,5,2,7,3]
[2,6,3,8,1,7,5,4]=>[8,7,3,1,2,5,6,4]
[2,5,1,8,6,3,7,4]=>[2,8,6,1,5,7,3,4]
[2,8,6,4,1,7,3,5]=>[7,4,8,5,1,3,6,2]
[1,8,4,2,7,5,3,6]=>[3,7,6,8,4,5,1,2]
[6,5,1,7,2,8,4,3]=>[8,7,5,3,2,1,4,6]
[2,8,1,7,5,3,6,4]=>[8,6,5,7,1,3,4,2]
[1,2,8,7,6,4,3,5]=>[7,6,8,5,4,1,2,3]
[4,1,7,8,6,3,5,2]=>[6,1,3,8,7,5,2,4]
[1,6,5,7,8,4,2,3]=>[3,2,7,4,8,6,1,5]
[4,1,8,7,6,3,5,2]=>[6,8,1,7,5,4,2,3]
[4,8,2,6,3,5,1,7]=>[1,5,7,3,6,4,8,2]
[4,3,5,7,1,6,2,8]=>[2,1,3,7,5,6,4,8]
[4,1,8,5,3,6,2,7]=>[1,5,4,7,6,8,2,3]
[6,4,2,5,3,1,7,8]=>[6,3,2,5,4,1,7,8]
[3,1,5,8,2,7,4,6]=>[1,3,7,8,5,6,2,4]
[6,4,1,5,3,2,7,8]=>[6,5,3,2,4,1,7,8]
[6,2,1,5,4,3,7,8]=>[6,2,5,3,4,1,7,8]
[3,1,8,5,4,6,2,7]=>[5,1,4,7,6,8,2,3]
[6,1,8,4,5,3,2,7]=>[4,7,6,5,1,8,2,3]
[4,5,2,7,1,6,3,8]=>[1,7,3,2,5,6,4,8]
[4,3,5,7,1,6,8,2]=>[2,1,3,6,8,5,4,7]
[4,1,8,5,3,6,7,2]=>[1,5,4,6,8,7,2,3]
[6,3,8,4,5,1,7,2]=>[4,8,2,1,6,5,7,3]
[3,1,6,8,5,7,4,2]=>[3,5,8,1,7,6,2,4]
[2,6,1,8,5,7,4,3]=>[5,2,8,7,1,6,3,4]
[6,3,8,4,5,2,1,7]=>[4,7,2,1,6,5,8,3]
[6,5,8,7,2,3,4,1]=>[5,2,1,6,8,7,4,3]
[6,3,8,4,5,2,7,1]=>[4,6,2,1,5,8,7,3]
[2,1,6,8,5,3,7,4]=>[3,8,6,1,5,7,2,4]
[3,2,6,8,5,4,7,1]=>[3,6,1,5,8,2,7,4]
[4,1,8,5,2,6,3,7]=>[1,7,5,4,6,8,2,3]
[3,1,6,8,5,2,4,7]=>[6,1,3,7,5,8,2,4]
[6,5,8,7,4,1,2,3]=>[6,2,1,7,8,5,4,3]
[6,5,8,7,4,2,1,3]=>[2,1,7,6,8,5,4,3]
[6,5,8,7,2,4,1,3]=>[5,2,1,7,8,6,4,3]
[6,2,8,4,5,7,1,3]=>[4,7,5,1,8,2,6,3]
[6,1,8,4,5,7,3,2]=>[4,5,1,8,7,6,2,3]
[4,2,7,3,5,8,6,1]=>[1,8,4,5,2,3,7,6]
[3,6,2,4,8,5,7,1]=>[6,8,1,3,2,4,7,5]
[2,7,5,4,3,8,6,1]=>[4,3,8,5,1,2,7,6]
[3,5,1,8,4,7,6,2]=>[2,8,1,5,7,6,3,4]
[3,6,1,8,5,4,7,2]=>[6,5,1,2,8,7,3,4]
[2,4,8,3,7,6,5,1]=>[8,7,2,4,6,1,5,3]
[3,6,8,2,5,7,4,1]=>[5,2,8,1,4,7,6,3]
[2,6,8,5,4,3,7,1]=>[2,6,5,4,8,1,7,3]
[3,6,8,2,5,4,7,1]=>[6,4,1,2,5,8,7,3]
[4,6,8,3,2,5,7,1]=>[5,1,4,2,6,8,7,3]
[4,6,2,8,3,5,7,1]=>[1,5,6,2,8,3,7,4]
[3,6,1,8,5,7,4,2]=>[5,2,8,1,7,6,3,4]
[5,2,6,8,4,1,7,3]=>[3,1,8,6,2,5,7,4]
[4,6,3,8,7,2,5,1]=>[6,1,2,8,3,7,5,4]
[3,5,8,2,7,4,6,1]=>[2,6,8,1,4,7,5,3]
[2,6,8,5,7,4,3,1]=>[2,4,8,7,6,1,5,3]
[2,4,8,7,6,3,5,1]=>[6,8,7,2,5,1,4,3]
[7,5,1,6,3,2,8,4]=>[5,8,6,3,2,4,1,7]
[2,7,6,3,4,1,8,5]=>[4,5,8,6,1,3,2,7]
[5,7,6,3,1,2,8,4]=>[1,8,5,4,6,3,2,7]
[4,8,2,1,7,5,6,3]=>[1,6,8,3,7,4,5,2]
[6,3,8,5,7,2,4,1]=>[6,4,1,8,2,7,5,3]
[1,5,4,8,6,2,3,7]=>[3,2,6,7,5,8,1,4]
[8,2,1,7,5,3,6,4]=>[8,6,2,5,7,3,4,1]
[8,2,1,6,7,3,5,4]=>[8,6,2,4,7,3,5,1]
[6,2,8,1,7,5,3,4]=>[7,8,6,2,1,4,5,3]
[3,5,1,8,7,6,2,4]=>[2,7,8,1,6,5,3,4]
[5,6,2,7,8,1,3,4]=>[6,1,7,3,2,4,8,5]
[4,7,3,5,6,1,2,8]=>[1,3,6,4,7,5,2,8]
[4,7,8,3,5,6,1,2]=>[4,7,1,5,2,8,6,3]
[3,2,5,6,8,4,7,1]=>[1,3,4,6,8,2,7,5]
[8,4,5,2,6,3,7,1]=>[2,6,4,3,5,8,7,1]
[2,5,6,4,8,3,7,1]=>[2,4,3,6,8,1,7,5]
[5,3,2,4,7,8,1,6]=>[2,7,3,1,4,5,8,6]
[4,2,5,7,3,8,1,6]=>[3,1,5,7,2,4,8,6]
[4,7,3,1,6,8,2,5]=>[1,3,7,5,8,4,2,6]
[4,2,7,6,8,1,3,5]=>[1,6,7,4,2,3,8,5]
[1,7,4,6,8,3,2,5]=>[7,3,6,4,2,8,1,5]
[4,7,2,5,6,3,1,8]=>[1,4,7,3,6,5,2,8]
[5,4,1,3,7,8,2,6]=>[7,4,2,1,5,8,3,6]
[6,1,5,8,3,7,2,4]=>[5,3,7,1,8,6,2,4]
[4,1,3,5,7,8,2,6]=>[7,3,1,4,5,8,2,6]
[6,1,5,8,4,3,2,7]=>[3,7,6,5,1,8,2,4]
[7,2,1,6,8,3,5,4]=>[8,6,2,4,7,3,1,5]
[5,6,4,1,8,3,2,7]=>[1,7,6,3,2,8,4,5]
[4,5,2,1,7,8,3,6]=>[1,7,3,2,5,8,4,6]
[2,3,7,8,5,1,6,4]=>[8,6,5,1,2,3,7,4]
[4,1,7,6,2,3,8,5]=>[1,8,5,6,4,2,3,7]
[1,2,6,7,4,3,5,8]=>[6,5,3,7,1,2,4,8]
[5,8,6,3,4,1,2,7]=>[1,6,4,7,5,3,8,2]
[6,2,3,1,8,5,4,7]=>[7,2,3,6,1,8,4,5]
[5,1,2,6,4,8,3,7]=>[5,4,7,1,8,2,3,6]
[8,6,2,3,7,5,1,4]=>[7,8,3,4,2,6,5,1]
[4,5,2,8,6,1,3,7]=>[1,6,2,7,3,5,8,4]
[3,4,8,2,5,6,1,7]=>[1,2,4,5,7,6,8,3]
[2,8,3,6,7,4,5,1]=>[6,4,8,3,7,1,5,2]
[6,8,2,7,5,3,1,4]=>[7,6,1,8,3,5,4,2]
[6,3,2,5,8,4,1,7]=>[2,4,7,3,1,6,8,5]
[5,6,7,2,8,4,1,3]=>[1,7,2,8,4,3,6,5]
[5,8,3,6,4,1,7,2]=>[1,8,3,6,5,4,7,2]
[4,3,8,5,2,7,1,6]=>[1,5,2,4,7,8,6,3]
[2,8,4,5,1,6,3,7]=>[3,7,5,1,4,6,8,2]
[3,2,5,8,4,7,1,6]=>[1,3,5,7,8,2,6,4]
[2,5,8,1,3,4,7,6]=>[8,4,1,2,5,6,7,3]
[3,5,1,8,7,4,2,6]=>[2,7,1,6,8,5,3,4]
[4,6,1,3,8,2,7,5]=>[1,8,4,6,2,7,3,5]
[8,6,1,2,3,5,7,4]=>[6,8,3,4,5,2,7,1]
[5,1,7,8,3,2,4,6]=>[6,5,1,7,3,8,2,4]
[3,1,7,6,2,8,5,4]=>[8,7,1,5,4,2,3,6]
[5,4,2,8,6,7,3,1]=>[2,1,5,8,7,3,6,4]
[6,1,4,2,8,7,3,5]=>[3,7,8,6,2,1,4,5]
[3,7,2,6,8,4,5,1]=>[6,4,8,1,3,2,7,5]
[5,4,6,2,7,8,3,1]=>[2,1,5,3,8,4,7,6]
[5,1,8,6,4,2,7,3]=>[1,8,6,5,4,7,2,3]
[6,2,1,8,5,7,4,3]=>[5,8,7,2,1,6,3,4]
[5,4,6,2,3,1,8,7]=>[4,2,1,5,3,8,6,7]
[6,5,7,8,1,3,4,2]=>[6,2,1,8,5,3,7,4]
[2,1,7,6,8,4,5,3]=>[6,4,3,8,1,7,2,5]
[6,4,7,2,8,3,1,5]=>[2,7,4,1,6,3,8,5]
[6,3,2,7,8,4,5,1]=>[6,2,4,1,8,3,7,5]
[1,4,8,2,7,6,5,3]=>[8,7,2,6,4,5,1,3]
[4,7,3,1,5,2,8,6]=>[1,5,3,8,4,6,2,7]
[2,1,4,7,5,3,8,6]=>[5,8,1,3,6,2,4,7]
[4,7,3,6,5,2,8,1]=>[6,1,3,5,4,2,8,7]
[4,7,6,3,1,5,8,2]=>[6,1,4,8,5,3,2,7]
[2,4,7,3,8,5,1,6]=>[7,2,4,6,1,3,8,5]
[2,7,3,1,8,5,4,6]=>[7,3,6,8,1,4,2,5]
[2,8,3,1,7,4,5,6]=>[3,6,7,8,1,4,5,2]
[6,7,5,2,1,4,8,3]=>[4,6,1,8,5,3,2,7]
[1,2,6,8,3,4,7,5]=>[8,5,3,6,7,1,2,4]
[1,5,6,8,3,2,4,7]=>[2,6,5,3,7,8,1,4]
[1,8,2,7,3,5,6,4]=>[6,8,5,7,3,4,1,2]
[1,7,4,8,6,5,3,2]=>[8,7,3,2,6,5,1,4]
[1,6,3,5,7,4,8,2]=>[4,6,3,2,5,8,1,7]
[1,5,4,7,2,8,3,6]=>[3,2,7,8,5,1,4,6]
[3,8,5,2,6,1,7,4]=>[8,4,1,3,6,5,7,2]
[3,7,4,8,5,2,6,1]=>[6,3,5,1,2,8,7,4]
[8,1,2,6,5,3,4,7]=>[6,7,5,2,3,4,8,1]
[3,7,4,2,5,6,1,8]=>[4,1,3,5,7,6,2,8]
[6,8,7,1,3,4,2,5]=>[5,7,4,1,6,8,3,2]
[3,7,8,6,1,4,2,5]=>[7,5,6,1,2,8,4,3]
[3,6,1,5,2,7,8,4]=>[6,1,4,8,3,2,5,7]
[7,1,6,8,3,4,2,5]=>[5,7,6,3,8,2,1,4]
[8,1,2,6,3,5,7,4]=>[6,8,5,2,3,4,7,1]
[3,7,8,4,2,5,6,1]=>[5,4,6,1,2,8,7,3]
[3,4,2,8,5,1,6,7]=>[1,2,6,3,5,7,8,4]
[6,8,2,7,5,4,1,3]=>[7,1,8,6,3,5,4,2]
[1,8,4,3,7,6,2,5]=>[3,7,8,4,6,5,1,2]
[4,3,8,7,1,2,6,5]=>[1,8,2,5,6,7,4,3]
[1,8,4,5,7,6,2,3]=>[3,4,7,8,6,5,1,2]
[4,3,8,5,7,1,6,2]=>[1,4,8,2,6,7,5,3]
[6,3,4,8,7,2,1,5]=>[7,2,3,1,6,8,5,4]
[5,3,8,4,7,1,6,2]=>[4,1,8,2,6,7,5,3]
[5,2,8,7,1,4,6,3]=>[6,1,8,5,7,2,4,3]
[3,2,8,7,1,6,4,5]=>[7,8,1,5,6,2,4,3]
[2,7,8,3,1,6,4,5]=>[4,7,8,5,1,2,6,3]
[2,7,8,5,1,4,6,3]=>[6,8,5,4,1,2,7,3]
[3,5,8,7,4,1,6,2]=>[8,2,6,1,5,7,4,3]
[7,4,6,8,3,5,1,2]=>[7,2,5,3,1,8,6,4]
[2,7,8,1,3,6,4,5]=>[7,8,4,5,1,2,6,3]
[2,7,8,1,5,4,6,3]=>[6,5,8,4,1,2,7,3]
[2,7,8,1,4,5,6,3]=>[5,6,8,4,1,2,7,3]
[3,6,7,8,2,4,1,5]=>[5,2,7,1,6,3,8,4]
[4,5,7,8,6,3,1,2]=>[7,1,2,3,8,6,5,4]
[5,4,6,8,7,3,1,2]=>[2,1,3,7,8,6,5,4]
[4,5,8,6,7,1,3,2]=>[8,1,2,6,4,7,5,3]
[5,7,6,8,2,1,3,4]=>[1,6,5,7,3,2,8,4]
[3,7,6,8,2,4,1,5]=>[5,7,6,1,3,2,8,4]
[5,4,7,8,6,3,1,2]=>[1,7,2,3,8,6,5,4]
[4,5,7,8,2,6,1,3]=>[1,2,5,7,3,8,6,4]
[4,5,6,8,7,3,1,2]=>[1,2,3,7,8,6,5,4]
[5,7,3,4,2,1,6,8]=>[3,1,6,5,4,7,2,8]
[6,1,5,3,8,4,7,2]=>[6,3,8,4,1,7,2,5]
[1,8,6,2,5,4,7,3]=>[6,5,8,4,3,7,1,2]
[3,8,4,1,7,5,2,6]=>[3,7,1,6,8,4,5,2]
[6,2,7,4,8,3,1,5]=>[4,7,6,2,1,3,8,5]
[2,8,5,1,4,3,7,6]=>[5,8,4,1,3,6,7,2]
[6,8,2,7,5,1,4,3]=>[8,6,1,7,3,5,4,2]
[8,3,4,5,6,1,7,2]=>[2,3,4,8,6,5,7,1]
[5,3,6,4,7,2,1,8]=>[4,2,1,3,7,6,5,8]
[4,2,6,5,7,3,1,8]=>[1,4,3,7,2,6,5,8]
[5,4,6,2,7,3,1,8]=>[2,1,7,4,3,6,5,8]
[3,2,6,5,8,4,1,7]=>[4,1,3,7,2,6,8,5]
[3,2,6,5,8,7,1,4]=>[4,1,3,7,8,2,6,5]
[4,2,6,5,8,7,1,3]=>[1,4,3,7,8,2,6,5]
[5,2,6,4,8,7,1,3]=>[4,3,1,7,8,2,6,5]
[5,4,7,6,8,2,1,3]=>[1,7,2,6,4,3,8,5]
[6,4,7,5,8,3,1,2]=>[7,2,1,4,3,8,6,5]
[4,2,7,5,8,6,1,3]=>[1,4,7,3,8,2,6,5]
[3,2,7,5,8,4,1,6]=>[4,7,1,6,2,3,8,5]
[4,3,7,2,8,5,1,6]=>[1,7,2,4,6,3,8,5]
[4,3,6,2,8,5,1,7]=>[1,7,2,4,3,6,8,5]
[4,3,7,6,8,5,1,2]=>[7,1,4,2,3,8,6,5]
[5,3,7,6,8,2,1,4]=>[1,7,6,2,4,3,8,5]
[5,3,7,2,8,6,1,4]=>[7,1,8,2,4,3,6,5]
[3,2,6,4,8,7,1,5]=>[7,1,3,8,2,4,6,5]
[4,2,7,3,8,6,1,5]=>[1,7,8,4,2,3,6,5]
[5,2,7,6,8,3,1,4]=>[1,7,6,4,2,3,8,5]
[3,2,7,6,8,4,1,5]=>[7,6,1,4,2,3,8,5]
[3,2,7,6,8,5,1,4]=>[7,4,1,3,8,2,6,5]
[6,2,7,5,8,4,1,3]=>[7,4,3,1,8,2,6,5]
[4,8,1,7,3,2,5,6]=>[1,6,5,7,8,3,4,2]
[3,7,4,8,2,1,5,6]=>[3,6,1,5,7,2,8,4]
[3,7,8,2,5,4,6,1]=>[6,4,5,1,2,8,7,3]
[4,7,5,8,3,2,6,1]=>[3,6,1,5,2,8,7,4]
[6,7,1,3,2,5,8,4]=>[4,6,8,3,1,5,2,7]
[8,7,6,4,1,5,3,2]=>[8,7,5,4,6,3,2,1]
[3,8,5,2,6,4,7,1]=>[6,4,1,3,5,8,7,2]
[7,2,5,3,4,8,1,6]=>[4,5,2,3,7,1,8,6]
[4,2,5,3,7,8,6,1]=>[3,1,5,8,2,4,7,6]
[5,3,6,2,4,1,8,7]=>[2,4,1,5,3,8,6,7]
[7,8,6,2,3,5,4,1]=>[8,4,5,1,7,6,3,2]
[5,8,2,6,3,7,4,1]=>[1,8,5,3,4,7,6,2]
[4,8,2,3,7,5,6,1]=>[1,6,8,3,4,7,5,2]
[7,5,6,2,3,8,4,1]=>[8,4,2,5,3,1,7,6]
[2,7,5,6,4,3,8,1]=>[3,6,5,4,1,2,8,7]
[2,8,4,3,7,5,6,1]=>[3,6,8,4,7,1,5,2]
[3,8,5,7,6,4,2,1]=>[8,3,7,6,1,5,4,2]
[7,8,6,3,5,4,2,1]=>[8,4,1,7,6,5,3,2]
[2,7,6,3,8,5,4,1]=>[8,7,4,3,1,2,6,5]
[7,4,2,5,6,3,8,1]=>[4,2,6,3,5,1,8,7]
[6,2,7,5,3,8,4,1]=>[8,5,4,2,1,3,7,6]
[2,4,8,3,7,5,6,1]=>[6,8,2,4,7,1,5,3]
[4,8,3,7,5,6,2,1]=>[5,8,1,3,7,6,4,2]
[6,2,5,8,3,7,4,1]=>[3,8,5,1,7,2,6,4]
[4,7,3,8,2,5,6,1]=>[1,3,5,6,2,8,7,4]
[8,2,5,6,3,7,4,1]=>[3,8,5,2,4,7,6,1]
[4,5,3,7,1,2,6,8]=>[1,5,3,2,6,7,4,8]
[8,5,6,4,1,3,2,7]=>[7,5,2,6,4,3,8,1]
[6,7,2,8,4,3,1,5]=>[7,6,3,1,5,2,8,4]
[6,7,3,2,8,4,1,5]=>[3,7,4,1,6,2,8,5]
[4,7,8,3,1,5,2,6]=>[7,1,5,4,6,2,8,3]
[4,5,8,1,3,2,6,7]=>[1,6,4,2,5,7,8,3]
[4,7,1,3,8,6,5,2]=>[8,1,7,4,6,3,2,5]
[2,6,7,4,3,8,1,5]=>[5,4,2,7,1,3,8,6]
[3,7,6,4,5,8,1,2]=>[4,7,5,1,3,2,8,6]
[5,7,2,8,3,4,6,1]=>[5,1,6,8,3,2,7,4]
[3,7,2,8,5,6,4,1]=>[5,8,7,1,3,2,6,4]
[3,1,5,8,6,4,7,2]=>[6,1,3,5,8,7,2,4]
[2,3,8,6,4,5,7,1]=>[5,6,4,8,1,2,7,3]
[2,3,8,6,4,7,5,1]=>[8,5,4,7,1,2,6,3]
[3,6,2,8,7,4,5,1]=>[6,2,8,1,7,3,5,4]
[2,5,6,1,8,7,3,4]=>[2,7,3,8,1,6,4,5]
[3,6,2,8,4,7,5,1]=>[8,5,1,2,7,3,6,4]
[2,3,8,5,7,4,6,1]=>[4,6,8,7,1,2,5,3]
[2,3,8,6,7,5,4,1]=>[4,8,7,6,1,2,5,3]
[8,5,6,3,1,4,2,7]=>[7,5,4,2,6,3,8,1]
[8,3,5,1,6,4,2,7]=>[7,2,6,4,3,5,8,1]
[5,7,8,3,4,6,2,1]=>[1,4,5,2,8,7,6,3]
[3,5,1,8,6,4,2,7]=>[2,7,1,6,5,8,3,4]
[7,5,3,8,6,4,2,1]=>[2,8,7,3,1,6,5,4]
[5,1,3,8,6,4,2,7]=>[7,6,3,1,5,8,2,4]
[1,5,8,3,6,4,2,7]=>[2,7,4,6,5,8,1,3]
[7,5,8,3,6,4,2,1]=>[2,8,4,1,7,6,5,3]
[1,5,8,6,3,4,2,7]=>[2,5,7,6,4,8,1,3]
[3,7,5,8,2,6,4,1]=>[3,8,5,1,2,7,6,4]
[5,7,8,1,4,6,2,3]=>[1,7,5,8,4,2,6,3]
[1,3,7,8,4,2,6,5]=>[5,8,6,2,3,7,1,4]
[6,1,2,5,3,4,7,8]=>[5,6,2,3,4,1,7,8]
[6,1,2,5,4,3,7,8]=>[6,5,2,3,4,1,7,8]
[5,1,4,6,7,3,2,8]=>[3,4,1,7,6,2,5,8]
[1,4,6,5,7,2,3,8]=>[6,2,4,3,7,1,5,8]
[6,7,3,5,4,1,2,8]=>[3,6,1,7,5,4,2,8]
[8,1,6,7,3,5,4,2]=>[8,5,3,7,6,2,4,1]
[7,2,4,1,6,5,3,8]=>[3,7,2,6,4,5,1,8]
[4,2,5,1,3,7,6,8]=>[7,2,1,4,3,5,6,8]
[1,3,2,6,8,4,7,5]=>[4,8,2,6,7,1,3,5]
[8,2,5,4,1,6,7,3]=>[6,4,2,3,8,5,7,1]
[8,1,7,5,4,2,6,3]=>[8,6,5,4,7,2,3,1]
[1,2,6,4,7,3,5,8]=>[4,6,3,7,1,2,5,8]
[1,6,4,3,7,2,5,8]=>[4,3,6,2,7,1,5,8]
[5,7,8,3,2,6,1,4]=>[1,5,4,7,2,8,6,3]
[8,4,5,1,3,7,6,2]=>[2,8,5,3,7,4,6,1]
[8,6,4,3,7,1,5,2]=>[4,3,8,6,2,7,5,1]
[7,5,6,8,1,3,2,4]=>[7,5,2,6,3,1,8,4]
[6,8,7,5,4,2,3,1]=>[1,6,8,7,5,4,3,2]
[7,3,1,8,6,5,2,4]=>[7,8,2,6,5,3,1,4]
[2,7,3,1,4,8,6,5]=>[8,3,7,1,4,5,2,6]
[3,1,6,5,7,8,4,2]=>[4,1,3,5,8,7,2,6]
[4,3,1,5,8,7,6,2]=>[1,8,2,7,4,6,3,5]
[4,7,1,3,2,5,6,8]=>[5,3,1,4,6,7,2,8]
[4,1,6,7,3,2,8,5]=>[1,5,3,8,6,2,4,7]
[1,7,2,5,6,8,4,3]=>[4,5,8,7,3,1,2,6]
[4,7,6,8,3,1,5,2]=>[8,6,1,5,3,2,7,4]
[5,4,8,6,1,7,3,2]=>[1,8,2,7,5,4,6,3]
[3,5,4,7,1,8,6,2]=>[2,8,1,3,7,5,4,6]
[7,1,5,4,2,3,6,8]=>[5,6,4,2,3,7,1,8]
[7,1,3,6,4,5,2,8]=>[5,7,3,6,2,4,1,8]
[6,1,3,8,4,5,2,7]=>[5,7,3,6,1,8,2,4]
[2,1,8,7,3,6,5,4]=>[8,7,5,6,1,4,2,3]
[5,8,6,3,1,2,7,4]=>[1,8,5,4,6,3,7,2]
[5,8,2,7,1,3,6,4]=>[8,3,1,5,6,7,4,2]
[2,6,5,4,1,3,7,8]=>[5,6,4,1,3,2,7,8]
[4,1,5,7,6,3,2,8]=>[1,7,3,6,5,2,4,8]
[6,3,4,2,1,8,7,5]=>[2,3,8,4,1,7,5,6]
[4,5,1,7,6,3,2,8]=>[1,2,7,6,5,3,4,8]
[5,4,2,1,8,7,3,6]=>[7,2,1,8,3,6,4,5]
[6,2,1,5,4,3,8,7]=>[5,2,4,8,3,1,6,7]
[1,4,2,6,7,8,5,3]=>[2,4,5,8,7,1,3,6]
[1,4,2,5,6,8,7,3]=>[2,8,4,5,7,1,3,6]
[2,5,3,6,7,8,4,1]=>[4,2,5,8,1,3,7,6]
[1,8,6,2,4,3,5,7]=>[6,4,5,7,3,8,1,2]
[3,2,4,5,7,8,1,6]=>[1,7,2,3,4,5,8,6]
[2,3,4,7,5,8,6,1]=>[8,5,1,2,3,4,7,6]
[6,5,2,8,7,4,3,1]=>[2,1,8,7,6,3,5,4]
[7,8,5,4,2,1,6,3]=>[5,8,6,4,3,1,7,2]
[7,5,2,8,6,4,3,1]=>[2,8,7,6,3,1,5,4]
[7,8,3,2,6,5,4,1]=>[8,3,7,4,1,6,5,2]
[8,2,6,3,7,5,1,4]=>[7,8,4,2,3,6,5,1]
[8,6,7,2,5,3,1,4]=>[7,4,6,2,8,5,3,1]
[1,6,2,7,8,4,5,3]=>[6,4,2,8,7,1,3,5]
[8,6,2,7,5,4,1,3]=>[7,8,6,3,2,5,4,1]
[1,6,8,2,7,5,3,4]=>[7,2,8,6,4,5,1,3]
[7,6,3,2,8,1,5,4]=>[3,8,4,6,2,1,7,5]
[5,1,7,4,3,8,6,2]=>[4,1,8,5,3,7,2,6]
[8,6,3,7,2,4,1,5]=>[3,5,7,6,2,8,4,1]
[1,7,8,6,4,2,3,5]=>[6,7,5,2,8,4,1,3]
[7,2,8,6,4,1,3,5]=>[6,7,5,8,2,1,4,3]
[1,5,3,7,4,2,6,8]=>[6,3,2,5,7,1,4,8]
[1,7,6,4,3,2,8,5]=>[5,4,8,6,3,1,2,7]
[1,7,6,3,4,2,5,8]=>[4,6,5,7,3,1,2,8]
[1,2,7,4,3,8,6,5]=>[8,4,7,5,1,2,3,6]
[1,5,3,2,4,6,7,8]=>[4,3,5,1,2,6,7,8]
[1,5,4,2,3,7,8,6]=>[6,3,2,8,1,4,5,7]
[1,2,7,6,3,5,8,4]=>[6,8,5,4,1,2,3,7]
[8,1,3,2,6,5,7,4]=>[6,3,5,8,2,4,7,1]
[4,3,7,2,8,1,6,5]=>[1,8,2,4,6,3,7,5]
[3,2,7,5,6,1,8,4]=>[4,8,1,6,2,5,3,7]
[7,5,6,1,3,2,8,4]=>[5,8,4,2,6,3,1,7]
[7,3,4,1,8,2,6,5]=>[2,3,8,6,7,4,1,5]
[7,4,5,1,6,3,8,2]=>[2,6,5,3,8,4,1,7]
[7,5,6,1,4,3,8,2]=>[6,5,2,8,4,3,1,7]
[4,2,7,6,8,3,5,1]=>[6,1,4,3,8,2,7,5]
[3,2,6,4,8,5,7,1]=>[6,1,3,8,2,4,7,5]
[4,2,8,3,6,5,7,1]=>[1,6,4,5,8,2,7,3]
[8,1,4,3,5,2,7,6]=>[4,3,5,8,2,6,7,1]
[6,2,8,5,7,1,4,3]=>[8,6,4,1,7,2,5,3]
[6,4,8,5,7,1,3,2]=>[8,2,1,6,4,7,5,3]
[5,3,4,1,6,2,8,7]=>[2,5,3,1,8,4,6,7]
[6,5,7,3,4,1,8,2]=>[4,2,1,8,6,5,3,7]
[5,2,7,6,8,1,4,3]=>[1,8,6,4,2,3,7,5]
[7,5,6,1,8,2,4,3]=>[8,6,2,7,4,3,1,5]
[7,3,6,1,8,2,5,4]=>[8,2,6,7,4,3,1,5]
[7,2,8,1,6,3,5,4]=>[8,6,7,2,4,1,5,3]
[8,3,6,5,4,1,2,7]=>[6,7,2,5,4,3,8,1]
[1,7,5,8,4,6,3,2]=>[3,5,2,8,7,6,1,4]
[6,5,7,1,2,8,3,4]=>[7,8,4,2,1,5,3,6]
[7,1,4,2,3,8,6,5]=>[3,8,7,2,4,5,1,6]
[3,7,5,6,8,1,2,4]=>[6,3,7,1,4,2,8,5]
[8,1,2,5,3,7,6,4]=>[4,8,7,2,3,5,6,1]
[8,6,5,2,4,1,7,3]=>[8,4,6,5,3,2,7,1]
[3,6,5,2,4,1,7,8]=>[4,6,1,5,3,2,7,8]
[6,8,5,2,4,3,1,7]=>[7,4,1,6,5,3,8,2]
[3,4,2,8,6,7,1,5]=>[7,1,2,5,8,3,6,4]
[3,7,1,6,2,5,8,4]=>[6,8,1,5,3,4,2,7]
[4,6,7,2,5,1,8,3]=>[8,1,4,2,6,5,3,7]
[3,6,2,5,1,7,8,4]=>[6,1,3,4,2,8,5,7]
[3,4,2,7,8,1,5,6]=>[1,2,6,7,3,4,8,5]
[3,8,5,2,4,7,1,6]=>[4,5,1,3,7,8,6,2]
[7,1,4,2,5,8,6,3]=>[3,8,5,7,2,4,1,6]
[7,8,5,1,2,4,3,6]=>[7,4,5,6,3,1,8,2]
[5,8,1,4,3,6,7,2]=>[5,4,1,6,8,3,7,2]
[7,2,3,8,6,4,1,5]=>[7,6,8,2,3,1,5,4]
[5,7,6,3,1,2,4,8]=>[5,1,6,4,7,3,2,8]
[4,6,2,7,8,1,3,5]=>[1,6,7,3,2,4,8,5]
[6,2,3,7,1,4,5,8]=>[2,3,5,6,1,7,4,8]
[4,6,7,8,2,1,3,5]=>[6,1,5,2,7,3,8,4]
[8,6,3,2,1,7,5,4]=>[3,8,4,7,5,2,6,1]
[5,3,4,1,7,8,2,6]=>[2,3,1,7,5,8,4,6]
[6,1,3,4,2,5,8,7]=>[3,4,8,2,5,1,6,7]
[5,1,3,6,2,4,8,7]=>[8,3,5,2,1,4,6,7]
[1,5,7,6,8,2,4,3]=>[8,2,6,4,3,7,1,5]
[5,7,1,3,8,4,2,6]=>[7,4,1,6,8,3,2,5]
[2,6,1,4,3,7,8,5]=>[4,6,8,1,3,2,5,7]
[1,6,2,4,3,5,8,7]=>[4,8,3,5,1,2,6,7]
[5,3,7,6,1,8,4,2]=>[1,8,7,2,5,4,3,6]
[1,5,6,3,7,8,4,2]=>[2,5,3,8,4,7,1,6]
[1,5,7,6,3,8,4,2]=>[8,2,5,4,3,7,1,6]
[7,3,5,6,1,8,4,2]=>[3,8,2,7,5,4,1,6]
[7,3,6,1,5,8,4,2]=>[5,8,2,7,4,3,1,6]
[1,6,3,7,8,5,4,2]=>[4,2,8,7,3,6,1,5]
[1,7,8,6,3,5,4,2]=>[8,5,2,7,6,4,1,3]
[3,7,5,6,1,8,4,2]=>[3,8,7,1,5,4,2,6]
[5,6,2,8,4,7,3,1]=>[1,5,2,8,7,3,6,4]
[5,7,6,3,4,8,1,2]=>[1,4,7,5,3,2,8,6]
[3,7,5,4,6,1,2,8]=>[6,4,1,3,7,5,2,8]
[5,3,4,7,6,8,1,2]=>[7,2,1,3,5,4,8,6]
[5,3,7,4,6,1,2,8]=>[6,2,1,4,7,5,3,8]
[7,3,5,4,6,1,2,8]=>[6,2,4,3,7,5,1,8]
[7,8,3,5,4,1,2,6]=>[3,6,7,5,4,1,8,2]
[7,3,5,4,1,2,6,8]=>[2,5,6,4,3,7,1,8]
[5,7,6,3,4,1,2,8]=>[1,6,4,7,5,3,2,8]
[3,5,4,1,2,7,6,8]=>[7,1,4,3,2,5,6,8]
[5,7,6,1,3,2,4,8]=>[6,4,1,5,7,3,2,8]
[5,3,4,1,2,7,6,8]=>[2,7,4,3,1,5,6,8]
[7,8,3,1,2,5,4,6]=>[7,4,3,5,6,1,8,2]
[7,8,5,1,3,2,4,6]=>[6,4,5,7,3,1,8,2]
[7,5,6,1,3,2,4,8]=>[6,4,5,2,7,3,1,8]
[7,5,1,3,8,6,2,4]=>[7,8,4,2,6,3,1,5]
[7,1,3,8,2,5,4,6]=>[7,3,5,6,8,2,1,4]
[3,1,5,4,7,2,6,8]=>[1,4,3,6,7,2,5,8]
[5,7,6,1,3,8,2,4]=>[5,1,7,8,4,3,2,6]
[5,7,6,3,8,1,4,2]=>[1,4,8,6,3,2,7,5]
[5,1,3,7,6,2,4,8]=>[6,7,3,1,5,2,4,8]
[1,6,3,7,2,4,5,8]=>[3,5,6,2,7,1,4,8]
[5,3,2,4,8,1,7,6]=>[2,8,3,1,4,6,7,5]
[6,8,5,3,2,7,1,4]=>[5,4,1,7,3,8,6,2]
[8,3,7,2,6,5,1,4]=>[7,8,2,4,6,5,3,1]
[4,6,2,7,1,3,8,5]=>[1,8,3,5,2,6,4,7]
[3,4,6,5,1,8,7,2]=>[4,1,2,3,8,7,5,6]
[8,7,1,5,3,2,6,4]=>[5,8,6,3,4,7,2,1]
[3,5,1,4,7,2,8,6]=>[8,1,4,2,6,3,5,7]
[5,1,4,8,7,3,2,6]=>[7,3,1,6,8,5,2,4]
[6,1,3,4,2,7,8,5]=>[3,4,6,8,2,1,5,7]
[6,5,2,3,7,8,1,4]=>[7,3,4,2,1,5,8,6]
[1,5,3,8,4,2,7,6]=>[5,2,8,3,6,7,1,4]
[5,4,2,1,8,3,7,6]=>[8,3,2,1,6,7,4,5]
[3,1,7,4,2,6,8,5]=>[1,4,6,8,5,2,3,7]
[7,4,8,2,3,5,1,6]=>[4,2,5,7,6,1,8,3]
[8,4,1,3,2,6,7,5]=>[4,6,2,8,3,5,7,1]
[8,1,7,3,2,5,6,4]=>[4,6,8,5,7,2,3,1]
[8,6,5,2,7,3,1,4]=>[7,4,6,3,2,8,5,1]
[3,1,6,8,4,2,7,5]=>[5,1,3,8,6,7,2,4]
[1,5,2,8,3,6,7,4]=>[6,2,8,5,7,1,3,4]
[5,6,2,3,7,4,1,8]=>[7,3,1,4,2,6,5,8]
[6,2,4,7,3,5,1,8]=>[3,5,7,2,1,6,4,8]
[1,4,8,5,3,6,7,2]=>[5,2,4,6,8,7,1,3]
[2,5,6,3,1,8,4,7]=>[4,2,7,1,3,8,5,6]
[4,5,1,2,7,8,6,3]=>[1,5,2,8,7,3,4,6]
[4,8,5,1,2,6,7,3]=>[1,6,8,4,3,5,7,2]
[4,6,7,5,1,2,8,3]=>[8,1,5,2,6,4,3,7]
[7,2,8,1,4,5,3,6]=>[5,7,2,4,6,1,8,3]
[6,1,4,7,3,8,2,5]=>[3,5,7,4,1,8,2,6]
[7,1,6,3,4,8,2,5]=>[4,5,7,3,8,2,1,6]
[2,8,4,6,3,1,5,7]=>[3,6,5,7,1,4,8,2]
[8,2,6,3,5,1,4,7]=>[4,6,7,2,5,3,8,1]
[3,7,4,1,5,8,2,6]=>[5,1,3,7,8,4,2,6]
[3,8,4,1,7,2,5,6]=>[6,1,3,7,8,4,5,2]
[6,7,5,1,3,8,2,4]=>[5,7,1,8,4,3,2,6]
[8,5,1,3,6,7,2,4]=>[7,4,5,2,8,3,6,1]
[7,8,6,2,4,1,3,5]=>[4,6,7,5,1,8,3,2]
[8,2,4,1,3,6,7,5]=>[6,2,3,8,4,5,7,1]
[8,1,3,6,2,5,7,4]=>[6,8,3,5,2,4,7,1]
[1,5,6,3,8,4,7,2]=>[2,6,3,8,4,7,1,5]
[5,6,1,3,7,2,8,4]=>[8,4,1,6,3,2,5,7]
[5,6,1,8,2,3,7,4]=>[8,5,1,6,2,7,3,4]
[5,6,1,2,8,4,7,3]=>[6,1,8,7,3,2,4,5]
[3,7,8,1,6,4,2,5]=>[7,6,8,1,4,2,5,3]
[1,7,8,6,3,4,2,5]=>[5,7,6,2,8,4,1,3]
[1,7,3,8,6,4,2,5]=>[7,6,8,3,2,5,1,4]
[5,7,1,8,6,4,2,3]=>[1,7,8,6,5,3,2,4]
[7,8,1,5,6,4,2,3]=>[7,4,8,6,3,1,5,2]
[7,1,8,5,6,4,2,3]=>[7,4,8,6,5,2,1,3]
[7,1,5,8,6,4,2,3]=>[3,7,8,6,5,2,1,4]
[8,1,3,5,6,4,2,7]=>[4,7,3,6,2,5,8,1]
[1,3,8,5,6,4,2,7]=>[4,7,6,2,5,8,1,3]
[1,3,5,8,6,4,2,7]=>[7,3,6,2,5,8,1,4]
[1,5,7,8,6,4,2,3]=>[7,2,3,8,6,5,1,4]
[1,8,2,6,5,3,4,7]=>[6,7,5,3,4,8,1,2]
[8,6,1,5,2,3,4,7]=>[5,6,7,3,4,2,8,1]
[8,5,1,6,2,3,4,7]=>[5,6,7,3,2,4,8,1]
[7,6,1,2,3,8,4,5]=>[7,8,3,4,5,2,1,6]
[2,7,8,4,1,3,5,6]=>[5,6,4,7,1,2,8,3]
[6,8,1,2,3,7,4,5]=>[7,8,3,4,1,5,6,2]
[8,1,3,5,6,7,2,4]=>[4,7,3,5,8,2,6,1]
[8,1,2,5,3,4,7,6]=>[8,5,2,3,4,6,7,1]
[3,7,6,2,5,8,4,1]=>[5,8,4,1,3,2,7,6]
[5,2,7,3,4,8,1,6]=>[4,5,1,7,2,3,8,6]
[8,6,4,7,3,5,2,1]=>[3,5,2,8,7,6,4,1]
[4,2,1,6,5,7,8,3]=>[5,2,1,4,6,8,3,7]
[2,7,5,4,1,3,6,8]=>[5,6,4,1,3,7,2,8]
[2,7,4,6,5,1,8,3]=>[8,3,6,5,1,4,2,7]
[6,8,7,5,2,1,4,3]=>[5,1,8,6,7,4,3,2]
[2,8,6,3,5,1,4,7]=>[4,6,7,5,1,3,8,2]
[1,2,8,6,4,5,3,7]=>[5,7,6,4,8,1,2,3]
[1,5,8,7,6,3,4,2]=>[6,8,2,7,5,4,1,3]
[1,4,7,8,5,6,3,2]=>[5,3,8,2,7,6,1,4]
[1,6,4,8,5,7,3,2]=>[5,2,8,3,7,6,1,4]
[1,6,8,5,2,7,3,4]=>[7,2,8,5,4,6,1,3]
[1,6,8,5,4,2,3,7]=>[6,2,7,5,4,8,1,3]
[1,3,4,8,5,2,7,6]=>[5,8,2,3,6,7,1,4]
[3,5,8,7,6,2,4,1]=>[6,8,2,7,1,5,4,3]
[6,5,3,7,4,1,8,2]=>[8,3,2,1,6,5,4,7]
[3,1,5,4,6,8,7,2]=>[1,3,8,4,5,7,2,6]
[3,1,6,4,2,5,8,7]=>[1,4,8,5,2,3,6,7]
[3,6,1,4,5,7,8,2]=>[1,4,5,6,2,8,3,7]
[1,8,4,7,2,3,6,5]=>[3,8,5,6,7,4,1,2]
[5,7,8,2,4,6,1,3]=>[1,7,4,5,2,8,6,3]
[5,4,2,3,6,8,1,7]=>[3,4,2,1,5,7,8,6]
[3,8,1,6,4,2,5,7]=>[6,1,5,7,3,4,8,2]
[7,3,2,1,8,6,4,5]=>[2,7,8,3,6,4,1,5]
[8,7,2,4,1,3,6,5]=>[8,3,5,4,6,7,2,1]
[8,2,6,3,5,7,1,4]=>[7,4,5,2,3,8,6,1]
[1,8,3,7,4,6,5,2]=>[8,5,7,3,6,4,1,2]
[8,2,3,1,7,4,5,6]=>[2,3,6,7,8,4,5,1]
[3,1,7,8,6,2,5,4]=>[8,6,1,3,7,5,2,4]
[4,8,1,2,6,5,7,3]=>[1,6,5,8,3,4,7,2]
[5,6,1,8,3,7,2,4]=>[5,1,7,2,8,6,3,4]
[2,8,1,6,5,3,7,4]=>[8,6,5,1,3,4,7,2]
[2,1,5,7,6,3,8,4]=>[8,3,6,1,5,2,4,7]
[4,1,2,5,7,6,8,3]=>[6,4,1,5,8,2,3,7]
[4,3,5,1,7,8,6,2]=>[2,1,3,5,8,7,4,6]
[1,8,5,2,3,4,7,6]=>[8,4,5,3,6,7,1,2]
[1,5,8,2,3,4,7,6]=>[8,4,2,5,6,7,1,3]
[1,2,7,8,4,5,6,3]=>[5,6,3,8,7,1,2,4]
[4,3,8,7,6,2,5,1]=>[6,8,1,7,2,5,4,3]
[5,4,8,2,7,6,3,1]=>[1,8,2,7,4,6,5,3]
[3,2,5,6,4,8,1,7]=>[1,3,5,2,4,7,8,6]
[2,3,6,4,1,7,5,8]=>[4,7,1,2,5,3,6,8]
[2,3,7,1,5,8,4,6]=>[5,7,8,1,2,4,3,6]
[2,3,6,1,7,5,8,4]=>[6,5,1,2,3,8,4,7]
[2,3,6,5,1,7,4,8]=>[7,5,1,2,4,3,6,8]
[3,6,4,2,1,5,7,8]=>[5,1,4,3,6,2,7,8]
[4,3,2,6,5,8,1,7]=>[2,1,5,3,4,7,8,6]
[4,6,5,2,1,7,8,3]=>[1,4,6,3,2,8,5,7]
[4,6,1,7,5,8,3,2]=>[5,1,4,2,8,7,3,6]
[4,2,6,5,1,7,8,3]=>[1,6,4,2,3,8,5,7]
[4,1,5,7,6,8,3,2]=>[1,5,3,4,8,7,2,6]
[3,5,6,2,1,4,7,8]=>[5,1,4,2,6,3,7,8]
[4,2,5,7,6,8,3,1]=>[1,5,3,4,8,2,7,6]
[4,3,6,5,2,8,1,7]=>[1,5,2,4,3,7,8,6]
[4,3,6,5,1,7,8,2]=>[1,6,2,4,3,8,5,7]
[3,6,4,5,2,1,7,8]=>[3,6,1,5,4,2,7,8]
[3,5,6,4,2,8,1,7]=>[2,5,1,4,3,7,8,6]
[4,6,5,3,1,7,8,2]=>[6,1,4,3,2,8,5,7]
[5,8,1,4,2,3,6,7]=>[5,6,3,1,4,7,8,2]
[4,5,8,2,3,1,6,7]=>[1,4,2,6,5,7,8,3]
[3,5,4,8,1,7,2,6]=>[3,1,2,7,8,5,6,4]
[5,3,6,8,1,4,7,2]=>[6,2,1,3,8,5,7,4]
[3,5,1,8,6,4,7,2]=>[2,6,1,5,8,7,3,4]
[4,7,2,8,3,1,6,5]=>[1,5,8,3,6,2,7,4]
[1,2,5,6,8,3,7,4]=>[3,4,8,6,7,1,2,5]
[5,3,8,4,6,2,7,1]=>[4,1,6,2,5,8,7,3]
[7,4,8,1,5,2,6,3]=>[2,8,6,4,5,1,7,3]
[8,3,2,1,6,5,7,4]=>[2,6,3,5,8,4,7,1]
[4,1,5,6,8,7,2,3]=>[3,1,4,7,8,6,2,5]
[1,2,5,6,8,4,7,3]=>[3,4,6,8,7,1,2,5]
[1,5,6,8,4,7,2,3]=>[2,3,7,5,8,6,1,4]
[5,6,8,1,2,4,7,3]=>[6,1,8,4,2,5,7,3]
[6,8,1,4,5,7,2,3]=>[4,7,5,1,8,3,6,2]
[4,3,5,1,8,6,7,2]=>[2,1,3,6,8,7,4,5]
[1,3,5,6,8,4,7,2]=>[3,4,6,8,2,7,1,5]
[5,6,8,2,3,4,7,1]=>[4,1,5,2,6,8,7,3]
[6,5,1,2,4,8,7,3]=>[8,5,7,3,2,1,4,6]
[5,8,7,2,1,3,6,4]=>[4,1,8,5,6,7,3,2]
[5,1,7,2,8,6,3,4]=>[7,1,8,6,4,2,3,5]
[6,1,5,3,4,8,7,2]=>[8,4,3,5,1,7,2,6]
[5,8,6,3,2,1,4,7]=>[1,6,5,4,7,3,8,2]
[8,7,1,6,3,5,4,2]=>[8,5,7,6,3,4,2,1]
[3,2,1,7,8,6,4,5]=>[7,1,4,8,2,6,3,5]
[8,6,7,1,2,5,3,4]=>[7,8,4,5,2,6,3,1]
[1,5,6,4,2,8,7,3]=>[2,4,3,8,7,1,5,6]
[7,5,1,4,8,2,3,6]=>[6,4,7,2,8,3,1,5]
[3,2,8,1,7,5,6,4]=>[6,8,1,7,2,4,5,3]
[8,4,3,1,7,5,6,2]=>[3,2,6,8,7,4,5,1]
[6,1,7,8,4,2,3,5]=>[6,7,5,3,1,8,2,4]
[7,4,3,1,8,5,2,6]=>[3,2,7,6,8,4,1,5]
[7,8,1,6,3,4,5,2]=>[5,6,8,7,3,1,4,2]
[6,8,1,7,3,4,2,5]=>[5,7,6,1,8,3,4,2]
[4,5,6,3,8,1,7,2]=>[1,2,4,3,8,6,7,5]
[7,8,3,5,2,1,6,4]=>[3,5,8,6,4,1,7,2]
[6,3,7,5,2,4,1,8]=>[5,7,2,1,6,4,3,8]
[6,2,4,5,7,3,1,8]=>[3,4,7,2,1,6,5,8]
[7,8,1,5,6,4,3,2]=>[4,8,7,6,3,1,5,2]
[6,3,7,5,1,4,2,8]=>[7,2,5,1,6,4,3,8]
[1,3,8,2,4,6,7,5]=>[6,8,2,4,5,7,1,3]
[6,1,7,3,4,2,5,8]=>[4,6,5,7,2,1,3,8]
[3,1,7,2,5,8,6,4]=>[8,1,5,7,4,2,3,6]
[2,8,7,6,3,5,1,4]=>[5,7,8,6,4,1,3,2]
[2,8,7,1,5,6,4,3]=>[5,8,7,4,6,1,3,2]
[3,5,6,2,8,1,7,4]=>[2,8,1,4,3,6,7,5]
[5,3,1,8,6,2,7,4]=>[8,2,1,6,5,7,3,4]
[3,1,4,6,8,2,7,5]=>[1,4,8,3,6,7,2,5]
[4,1,5,7,3,8,2,6]=>[3,1,5,7,4,8,2,6]
[6,2,5,8,4,7,3,1]=>[3,5,1,8,7,2,6,4]
[7,2,8,5,4,3,6,1]=>[6,5,4,8,2,1,7,3]
[7,1,6,8,2,5,3,4]=>[7,8,5,3,6,2,1,4]
[2,6,5,7,8,4,1,3]=>[3,2,7,4,8,1,6,5]
[3,6,5,7,4,1,8,2]=>[3,2,8,1,6,5,4,7]
[1,6,5,7,4,2,3,8]=>[6,3,2,7,5,1,4,8]
[3,4,7,5,2,1,8,6]=>[5,1,2,4,8,6,3,7]
[3,6,7,5,8,4,1,2]=>[2,7,4,1,3,8,6,5]
[3,4,7,2,5,6,8,1]=>[1,2,4,5,6,3,8,7]
[2,5,3,7,8,6,4,1]=>[2,4,8,7,1,3,6,5]
[7,2,8,4,5,6,3,1]=>[4,5,8,7,2,1,6,3]
[6,2,3,8,5,4,7,1]=>[6,5,8,2,1,3,7,4]
[6,8,7,3,2,4,5,1]=>[5,4,1,6,8,7,3,2]
[3,8,6,1,4,5,7,2]=>[5,6,8,1,4,3,7,2]
[7,5,8,6,4,1,3,2]=>[2,8,6,1,7,5,4,3]
[2,7,6,3,8,5,1,4]=>[7,8,4,3,1,2,6,5]
[2,3,1,8,4,6,5,7]=>[7,1,2,5,6,8,3,4]
[2,3,1,7,6,8,4,5]=>[7,5,1,2,4,8,3,6]
[2,3,1,8,4,6,7,5]=>[6,8,1,2,5,7,3,4]
[4,2,3,5,1,8,6,7]=>[2,3,1,4,7,8,5,6]
[5,8,7,2,6,4,1,3]=>[1,7,8,4,6,5,3,2]
[6,8,5,1,7,4,3,2]=>[1,8,7,6,4,3,5,2]
[6,8,5,2,7,4,1,3]=>[7,1,8,4,3,6,5,2]
[7,3,8,6,5,2,1,4]=>[7,6,8,2,1,5,4,3]
[7,5,8,1,6,4,3,2]=>[2,8,7,6,4,1,5,3]
[7,5,8,2,6,4,1,3]=>[7,2,8,4,1,6,5,3]
[6,3,2,8,1,7,5,4]=>[8,2,7,3,1,5,6,4]
[2,6,8,7,1,3,5,4]=>[8,5,2,6,7,1,4,3]
[5,3,8,7,6,2,1,4]=>[1,7,6,8,2,5,4,3]
[3,7,6,1,4,5,2,8]=>[5,7,1,4,6,3,2,8]
[4,1,6,2,7,5,3,8]=>[1,7,6,4,2,3,5,8]
[7,6,2,5,3,1,4,8]=>[6,3,5,7,4,2,1,8]
[4,3,1,7,6,2,5,8]=>[2,1,6,7,5,3,4,8]
[4,5,3,1,2,8,6,7]=>[1,7,3,2,8,4,5,6]
[2,4,5,3,1,8,6,7]=>[2,4,1,3,7,8,5,6]
[5,7,6,2,3,1,4,8]=>[4,1,6,5,7,3,2,8]
[4,1,3,7,5,2,6,8]=>[6,3,1,5,7,2,4,8]
[4,1,6,3,2,7,5,8]=>[4,1,7,5,2,3,6,8]
[7,5,4,1,3,2,6,8]=>[6,4,5,3,2,7,1,8]
[2,4,8,5,6,3,1,7]=>[4,7,2,6,1,5,8,3]
[2,5,7,4,1,3,6,8]=>[5,2,6,1,4,7,3,8]
[5,7,4,1,3,2,6,8]=>[6,4,1,5,3,7,2,8]
[2,6,8,4,5,3,1,7]=>[4,2,7,6,1,5,8,3]
[5,2,3,7,4,1,6,8]=>[6,2,3,1,5,7,4,8]
[4,5,1,6,3,2,7,8]=>[1,6,5,3,2,4,7,8]
[5,1,6,3,2,4,7,8]=>[5,4,6,2,1,3,7,8]
[4,2,5,1,6,3,7,8]=>[6,2,1,4,3,5,7,8]
[5,1,6,2,4,3,7,8]=>[6,4,5,2,1,3,7,8]
[5,3,4,8,7,6,2,1]=>[1,8,7,2,3,6,5,4]
[8,3,1,6,7,5,4,2]=>[4,8,2,7,6,3,5,1]
[8,4,6,5,7,2,3,1]=>[6,2,4,3,8,7,5,1]
[1,8,2,6,7,4,5,3]=>[6,4,8,7,3,5,1,2]
[8,5,7,2,4,3,6,1]=>[6,4,2,5,8,7,3,1]
[8,5,3,6,4,7,2,1]=>[5,3,2,4,8,7,6,1]
[8,2,5,3,6,7,4,1]=>[5,3,8,2,4,7,6,1]
[1,2,8,3,4,7,6,5]=>[8,7,4,5,6,1,2,3]
[6,8,5,2,7,1,3,4]=>[4,6,1,7,3,8,5,2]
[7,6,4,5,2,1,8,3]=>[5,3,8,6,4,2,1,7]
[8,2,4,7,6,3,1,5]=>[7,3,6,8,2,5,4,1]
[8,7,5,1,4,6,3,2]=>[5,8,7,4,3,6,2,1]
[7,3,8,5,4,2,1,6]=>[7,6,2,5,4,1,8,3]
[6,3,4,7,2,8,5,1]=>[8,2,3,1,5,4,7,6]
[8,1,7,3,6,4,2,5]=>[7,4,6,8,5,2,3,1]
[7,1,8,5,3,4,2,6]=>[5,7,6,4,8,2,1,3]
[6,8,4,3,1,5,2,7]=>[7,5,4,3,1,6,8,2]
[1,4,5,8,3,2,6,7]=>[2,3,6,5,7,8,1,4]
[1,5,2,4,7,8,6,3]=>[5,2,8,4,7,1,3,6]
[5,2,7,4,3,8,6,1]=>[4,1,8,5,2,3,7,6]
[2,7,3,4,8,5,6,1]=>[6,8,3,4,1,2,7,5]
[2,7,6,8,3,5,4,1]=>[8,5,3,2,7,1,6,4]
[2,7,4,5,3,8,6,1]=>[3,4,8,5,1,2,7,6]
[6,2,3,7,4,5,8,1]=>[5,6,2,3,1,4,8,7]
[1,6,3,2,7,5,8,4]=>[6,3,5,2,8,1,4,7]
[7,3,5,2,6,8,1,4]=>[7,2,4,3,5,1,8,6]
[6,4,2,7,1,5,8,3]=>[6,2,8,3,1,5,4,7]
[2,5,3,6,4,7,8,1]=>[5,3,1,2,4,6,8,7]
[4,2,5,3,6,7,8,1]=>[4,2,1,3,5,6,8,7]
[1,6,5,2,4,7,3,8]=>[5,7,4,3,1,2,6,8]
[1,8,7,2,4,6,3,5]=>[5,7,8,4,6,3,1,2]
[1,8,7,2,5,4,3,6]=>[7,6,4,5,8,3,1,2]
[1,5,4,2,7,3,6,8]=>[6,3,2,7,1,4,5,8]
[1,5,4,2,8,7,3,6]=>[3,2,7,8,6,1,4,5]
[1,6,8,3,5,2,4,7]=>[4,6,2,7,5,8,1,3]
[1,7,6,2,3,5,8,4]=>[6,8,4,5,3,1,2,7]
[1,2,8,3,6,5,4,7]=>[7,6,4,5,8,1,2,3]
[1,3,8,6,5,2,4,7]=>[6,7,5,2,4,8,1,3]
[1,4,7,3,2,8,6,5]=>[8,2,4,7,5,1,3,6]
[1,8,6,5,2,4,7,3]=>[6,8,5,4,3,7,1,2]
[1,6,8,4,3,2,5,7]=>[6,5,4,2,7,8,1,3]
[1,7,5,3,2,6,4,8]=>[4,7,5,3,6,1,2,8]
[1,2,6,5,3,8,4,7]=>[7,4,3,8,1,2,5,6]
[1,7,3,2,8,4,6,5]=>[8,3,6,7,4,1,2,5]
[1,6,5,2,8,4,7,3]=>[6,3,2,8,7,1,4,5]
[1,8,3,7,2,4,6,5]=>[8,3,5,6,7,4,1,2]
[5,4,2,8,7,6,1,3]=>[2,1,7,8,6,3,5,4]
[8,6,3,2,5,7,4,1]=>[3,5,8,4,2,7,6,1]
[7,3,2,1,6,5,8,4]=>[2,6,3,5,8,4,1,7]
[7,3,2,6,1,5,8,4]=>[2,6,8,3,5,4,1,7]
[6,8,5,2,7,1,4,3]=>[8,4,1,6,3,7,5,2]
[6,8,2,5,1,7,4,3]=>[8,7,3,1,5,4,6,2]
[6,8,5,7,2,1,4,3]=>[5,1,8,6,3,7,4,2]
[6,5,8,2,7,4,1,3]=>[7,2,1,8,4,6,5,3]
[6,2,1,7,5,8,4,3]=>[5,4,8,2,1,7,3,6]
[1,6,4,8,5,3,7,2]=>[6,3,2,5,8,7,1,4]
[3,5,6,2,8,7,1,4]=>[2,7,1,3,8,4,6,5]
[1,6,5,3,4,7,8,2]=>[4,5,3,2,6,8,1,7]
[4,2,6,7,8,1,3,5]=>[1,6,3,7,2,4,8,5]
[4,6,5,1,3,7,8,2]=>[1,5,6,3,2,8,4,7]
[5,1,7,2,6,4,8,3]=>[6,5,1,8,4,2,3,7]
[4,1,7,6,5,8,2,3]=>[7,1,5,4,3,8,2,6]
[5,2,1,7,6,4,8,3]=>[6,5,2,1,4,8,3,7]
[4,2,3,6,7,8,1,5]=>[4,1,7,2,3,5,8,6]
[4,7,2,1,6,5,8,3]=>[1,6,3,5,8,4,2,7]
[2,7,6,4,1,5,8,3]=>[6,4,8,5,1,3,2,7]
[2,4,3,6,7,8,1,5]=>[2,4,7,1,3,5,8,6]
[6,8,5,2,7,3,1,4]=>[7,4,1,6,3,8,5,2]
[7,5,2,4,1,8,3,6]=>[7,3,4,2,8,5,1,6]
[6,5,1,3,7,8,2,4]=>[7,4,5,2,1,8,3,6]
[6,1,2,4,3,7,8,5]=>[4,6,8,2,3,1,5,7]
[8,1,5,4,2,3,6,7]=>[5,6,4,2,3,7,8,1]
[7,1,2,4,6,3,8,5]=>[8,4,6,2,3,5,1,7]
[7,1,2,6,5,3,8,4]=>[8,6,5,2,3,4,1,7]
[7,5,6,1,2,4,8,3]=>[6,8,4,2,5,3,1,7]
[7,1,4,5,2,3,6,8]=>[5,3,6,2,4,7,1,8]
[6,1,4,8,7,2,3,5]=>[3,6,7,1,8,5,2,4]
[6,1,8,5,7,2,3,4]=>[6,7,4,1,8,5,2,3]
[1,6,7,5,8,3,4,2]=>[2,6,4,3,8,7,1,5]
[6,1,7,5,8,2,3,4]=>[6,7,4,3,1,8,2,5]
[6,1,4,7,8,2,3,5]=>[3,6,7,4,1,8,2,5]
[8,1,2,3,7,5,4,6]=>[7,6,8,2,3,4,5,1]
[5,8,6,1,2,4,7,3]=>[6,1,8,4,5,3,7,2]
[1,6,8,7,5,3,4,2]=>[2,6,8,7,5,4,1,3]
[6,1,8,7,5,2,3,4]=>[6,7,1,8,5,4,2,3]
[8,3,1,2,4,6,5,7]=>[7,3,2,4,5,6,8,1]
[8,3,1,2,4,5,7,6]=>[8,3,2,4,5,6,7,1]
[6,3,1,2,4,7,5,8]=>[7,3,2,4,5,1,6,8]
[6,7,1,4,2,3,5,8]=>[5,6,3,4,1,7,2,8]
[6,1,7,4,8,2,3,5]=>[6,4,7,3,1,8,2,5]
[6,7,8,5,1,2,4,3]=>[8,5,1,6,2,7,4,3]
[4,3,8,5,6,2,7,1]=>[1,4,6,2,5,8,7,3]
[4,3,8,6,7,2,5,1]=>[6,1,4,8,2,7,5,3]
[7,6,8,1,5,3,4,2]=>[6,8,7,4,2,1,5,3]
[7,4,6,1,5,3,8,2]=>[2,6,5,8,4,3,1,7]
[6,3,8,1,7,2,5,4]=>[8,2,6,1,7,4,5,3]
[6,1,5,4,8,2,7,3]=>[4,3,8,6,1,7,2,5]
[6,2,5,4,7,1,8,3]=>[4,3,8,2,1,6,5,7]
[2,6,3,4,8,7,5,1]=>[8,7,3,1,2,4,6,5]
[2,7,4,5,1,8,3,6]=>[3,7,4,8,1,5,2,6]
[8,4,5,7,6,1,2,3]=>[2,6,3,7,8,5,4,1]
[8,4,5,7,1,3,6,2]=>[2,6,3,8,5,7,4,1]
[8,1,3,4,6,7,5,2]=>[5,8,3,4,7,2,6,1]
[8,7,6,2,3,5,4,1]=>[8,4,5,7,6,3,2,1]
[8,3,6,7,5,1,2,4]=>[6,7,2,3,8,5,4,1]
[8,2,1,6,5,7,4,3]=>[5,4,8,2,7,3,6,1]
[2,7,1,8,5,6,4,3]=>[5,8,7,6,1,3,2,4]
[2,7,8,6,1,5,3,4]=>[7,8,5,2,6,1,4,3]
[4,6,8,2,3,5,1,7]=>[1,4,5,2,7,6,8,3]
[6,8,2,1,3,5,4,7]=>[3,7,4,5,1,6,8,2]
[3,5,1,6,4,8,2,7]=>[5,1,4,2,7,8,3,6]
[3,5,8,6,2,1,4,7]=>[2,6,1,5,7,4,8,3]
[2,4,8,5,6,1,3,7]=>[6,2,4,7,1,5,8,3]
[4,8,2,5,6,1,3,7]=>[1,6,3,4,7,5,8,2]
[5,3,8,4,2,7,6,1]=>[4,1,8,2,5,7,6,3]
[2,8,5,3,1,4,7,6]=>[4,8,5,1,3,6,7,2]
[1,7,8,4,6,3,2,5]=>[4,7,6,2,8,5,1,3]
[8,7,2,4,6,3,1,5]=>[4,7,3,6,8,5,2,1]
[8,7,3,2,1,6,4,5]=>[4,3,7,8,5,6,2,1]
[7,8,3,4,6,5,2,1]=>[8,3,4,1,7,6,5,2]
[8,7,3,6,5,2,4,1]=>[6,8,3,7,5,4,2,1]
[3,1,2,8,6,5,7,4]=>[6,1,5,8,7,2,3,4]
[3,8,2,7,5,4,6,1]=>[6,5,8,1,3,7,4,2]
[8,7,1,4,5,3,6,2]=>[4,6,5,8,3,7,2,1]
[2,8,7,4,6,3,5,1]=>[4,6,8,7,5,1,3,2]
[2,8,7,4,6,3,1,5]=>[4,7,6,8,5,1,3,2]
[8,3,4,1,2,5,7,6]=>[2,8,4,3,5,6,7,1]
[8,4,1,3,2,5,7,6]=>[4,8,3,2,5,6,7,1]
[7,3,8,6,2,1,4,5]=>[6,2,5,7,1,8,4,3]
[7,2,8,4,6,5,1,3]=>[4,7,8,6,2,1,5,3]
[5,8,6,4,7,2,3,1]=>[6,1,4,3,8,7,5,2]
[4,7,2,6,5,8,3,1]=>[5,1,4,8,3,2,7,6]
[3,6,8,5,7,4,2,1]=>[2,4,8,7,1,6,5,3]
[6,7,5,2,4,8,3,1]=>[5,1,8,4,3,2,7,6]
[8,1,2,7,5,6,3,4]=>[7,5,8,6,2,3,4,1]
[8,2,7,3,4,6,1,5]=>[4,5,7,8,2,6,3,1]
[6,7,5,4,8,1,3,2]=>[1,8,6,4,3,2,7,5]
[8,3,5,6,4,7,2,1]=>[3,5,2,4,8,7,6,1]
[8,5,6,2,4,3,7,1]=>[6,4,2,5,3,8,7,1]
[6,5,8,1,3,4,2,7]=>[5,7,4,2,1,6,8,3]
[6,8,4,5,1,3,2,7]=>[7,5,3,1,6,4,8,2]
[6,4,8,7,5,3,2,1]=>[1,8,7,2,6,5,4,3]
[6,7,1,4,3,2,8,5]=>[5,4,8,3,1,6,2,7]
[7,2,5,1,4,8,3,6]=>[5,7,2,3,8,4,1,6]
[5,8,1,3,4,2,7,6]=>[4,5,1,8,3,6,7,2]
[1,5,6,3,2,8,7,4]=>[2,8,4,3,7,1,5,6]
[1,3,7,6,8,4,2,5]=>[7,6,4,2,3,8,1,5]
[1,6,7,3,2,8,5,4]=>[8,4,2,7,5,1,3,6]
[3,2,7,6,8,4,5,1]=>[6,4,1,3,8,2,7,5]
[1,3,8,5,2,7,6,4]=>[4,8,7,2,5,6,1,3]
[6,4,1,5,2,8,7,3]=>[4,2,8,7,3,1,5,6]
[7,6,5,3,1,8,2,4]=>[7,4,8,5,3,2,1,6]
[2,5,1,4,7,3,6,8]=>[4,6,1,2,7,3,5,8]
[3,1,6,5,7,2,4,8]=>[6,1,4,3,7,2,5,8]
[2,6,1,5,7,4,8,3]=>[4,6,5,1,2,8,3,7]
[2,5,7,1,6,3,8,4]=>[2,8,6,1,4,5,3,7]
[2,6,1,5,7,4,3,8]=>[4,7,6,1,3,2,5,8]
[3,1,6,5,2,4,7,8]=>[1,5,6,4,2,3,7,8]
[3,6,5,1,4,2,7,8]=>[6,1,4,5,3,2,7,8]
[3,6,5,1,7,2,4,8]=>[6,7,1,4,3,2,5,8]
[3,6,5,2,1,4,7,8]=>[5,1,4,6,3,2,7,8]
[5,4,3,6,1,7,2,8]=>[3,2,1,7,5,4,6,8]
[4,5,2,7,6,1,3,8]=>[1,6,2,7,3,5,4,8]
[4,6,5,3,1,2,7,8]=>[1,5,6,4,3,2,7,8]
[5,4,1,6,3,7,2,8]=>[5,4,2,1,7,3,6,8]
[5,4,2,6,3,7,8,1]=>[5,3,2,1,4,6,8,7]
[3,6,5,7,1,4,2,8]=>[7,5,1,3,2,6,4,8]
[3,6,5,1,4,7,2,8]=>[5,7,1,4,3,2,6,8]
[4,3,6,5,7,1,2,8]=>[1,6,2,4,3,7,5,8]
[4,2,6,5,1,3,7,8]=>[5,1,6,2,4,3,7,8]
[4,1,6,5,3,7,8,2]=>[1,5,4,3,6,8,2,7]
[4,2,5,7,6,1,3,8]=>[3,1,6,7,2,5,4,8]
[3,4,7,6,1,2,5,8]=>[1,2,5,6,7,4,3,8]
[4,2,5,7,6,3,8,1]=>[1,6,3,5,2,4,8,7]
[4,1,6,5,2,7,3,8]=>[1,7,5,4,2,3,6,8]
[3,6,5,7,2,1,4,8]=>[6,5,1,3,2,7,4,8]
[3,5,7,6,2,4,1,8]=>[2,5,7,1,6,4,3,8]
[5,4,2,6,3,7,1,8]=>[5,3,2,1,4,7,6,8]
[4,6,5,2,7,3,1,8]=>[7,1,4,3,2,6,5,8]
[4,6,5,2,1,7,3,8]=>[1,4,7,5,3,2,6,8]
[3,5,8,2,1,4,6,7]=>[5,1,4,2,6,7,8,3]
[3,5,8,2,4,6,7,1]=>[4,1,2,5,6,8,7,3]
[5,3,8,2,1,4,6,7]=>[2,5,4,1,6,7,8,3]
[5,3,1,8,2,4,6,7]=>[5,2,6,1,7,8,3,4]
[5,1,3,8,2,4,6,7]=>[3,5,6,1,7,8,2,4]
[1,5,8,4,2,3,6,7]=>[5,2,6,4,7,8,1,3]
[5,8,2,1,4,3,6,7]=>[3,6,4,1,5,7,8,2]
[5,8,2,4,1,6,7,3]=>[6,3,1,4,8,5,7,2]
[5,8,2,4,6,3,1,7]=>[4,1,7,3,6,5,8,2]
[5,8,2,4,3,6,1,7]=>[5,3,1,4,7,6,8,2]
[5,8,1,4,6,2,3,7]=>[6,4,1,7,3,5,8,2]
[1,5,8,4,6,7,2,3]=>[2,4,7,5,8,6,1,3]
[5,1,8,4,6,7,2,3]=>[4,1,7,5,8,6,2,3]
[5,8,2,4,6,3,7,1]=>[4,1,6,3,5,8,7,2]
[3,8,4,6,7,2,1,5]=>[7,3,6,1,4,8,5,2]
[3,8,4,6,7,2,5,1]=>[6,3,4,8,1,7,5,2]
[8,4,3,6,7,2,5,1]=>[2,6,3,4,8,7,5,1]
[8,4,3,6,7,2,1,5]=>[2,7,3,6,4,8,5,1]
[8,6,2,4,5,3,7,1]=>[4,6,3,5,2,8,7,1]
[1,8,6,4,5,7,2,3]=>[4,7,5,3,8,6,1,2]
[8,6,2,4,5,3,1,7]=>[4,7,3,6,5,2,8,1]
[1,8,6,4,2,3,5,7]=>[5,6,4,7,3,8,1,2]
[3,8,1,6,2,4,5,7]=>[1,5,6,7,3,4,8,2]
[3,8,6,2,1,4,5,7]=>[5,1,4,6,7,3,8,2]
[3,8,6,2,4,1,5,7]=>[4,6,1,5,7,3,8,2]
[3,8,6,2,4,5,7,1]=>[4,5,6,1,3,8,7,2]
[8,3,6,2,4,5,1,7]=>[2,4,5,7,6,3,8,1]
[8,1,3,6,2,4,5,7]=>[3,5,6,7,2,4,8,1]
[8,3,6,7,2,1,4,5]=>[6,2,5,7,3,8,4,1]
[3,8,6,7,2,1,4,5]=>[6,5,7,1,3,8,4,2]
[8,2,6,4,5,1,7,3]=>[4,8,6,2,5,3,7,1]
[1,8,4,6,7,5,2,3]=>[7,3,4,8,6,5,1,2]
[8,4,6,2,3,7,5,1]=>[2,8,4,5,3,7,6,1]
[8,4,7,2,1,3,6,5]=>[4,2,8,5,6,7,3,1]
[2,7,1,6,3,5,8,4]=>[6,8,5,1,3,4,2,7]
[8,4,2,1,5,3,7,6]=>[3,5,2,8,4,6,7,1]
[8,2,1,4,7,3,6,5]=>[8,2,4,6,7,3,5,1]
[1,6,2,5,8,4,7,3]=>[4,6,2,8,7,1,3,5]
[3,2,1,7,4,5,8,6]=>[1,8,2,5,6,3,4,7]
[2,6,8,5,1,7,4,3]=>[2,8,7,5,1,4,6,3]
[2,1,5,8,7,3,6,4]=>[8,3,6,7,1,5,2,4]
[3,2,1,6,7,4,8,5]=>[1,4,8,2,6,3,5,7]
[4,3,1,7,8,5,2,6]=>[1,7,2,6,4,8,3,5]
[5,6,8,2,4,3,7,1]=>[1,6,4,2,5,8,7,3]
[1,2,8,6,4,7,3,5]=>[5,7,4,8,6,1,2,3]
[5,3,2,7,8,6,4,1]=>[4,1,8,2,7,3,6,5]
[4,2,7,8,3,5,6,1]=>[1,5,6,3,8,2,7,4]
[2,8,3,7,1,4,6,5]=>[8,3,5,6,7,1,4,2]
[2,8,7,1,5,3,6,4]=>[8,6,4,5,7,1,3,2]
[7,3,5,6,4,2,8,1]=>[3,6,2,5,4,1,8,7]
[3,8,4,2,7,6,5,1]=>[8,3,7,1,4,6,5,2]
[4,8,3,2,7,5,6,1]=>[1,3,6,8,4,7,5,2]
[2,6,8,1,5,3,4,7]=>[6,7,4,1,2,5,8,3]
[3,2,5,6,8,1,4,7]=>[1,3,6,2,4,7,8,5]
[3,8,1,6,4,5,2,7]=>[5,7,1,6,3,4,8,2]
[8,1,3,6,5,4,2,7]=>[7,6,3,5,2,4,8,1]
[7,4,3,6,2,1,8,5]=>[3,2,5,8,6,4,1,7]
[1,2,4,8,6,3,7,5]=>[8,6,3,5,7,1,2,4]
[7,2,1,5,3,4,8,6]=>[8,2,5,3,4,6,1,7]
[5,7,2,3,1,4,8,6]=>[3,4,1,8,5,6,2,7]
[7,1,5,2,4,6,8,3]=>[5,6,3,8,2,4,1,7]
[8,4,2,7,3,5,6,1]=>[5,2,6,8,3,7,4,1]
[1,8,6,4,7,5,3,2]=>[8,4,3,7,6,5,1,2]
[7,4,1,5,8,6,3,2]=>[2,8,4,7,6,3,1,5]
[4,5,8,7,3,1,2,6]=>[1,2,6,7,5,8,4,3]
[1,3,8,7,6,4,2,5]=>[7,6,8,5,2,4,1,3]
[2,8,5,1,7,4,6,3]=>[6,3,8,7,1,4,5,2]
[1,8,6,4,7,5,2,3]=>[4,7,3,8,6,5,1,2]
[2,7,4,6,3,8,5,1]=>[8,3,5,4,1,2,7,6]
[1,2,8,6,4,7,5,3]=>[8,5,4,7,6,1,2,3]
[8,4,3,1,6,2,5,7]=>[6,3,2,7,4,5,8,1]
[7,5,4,3,8,1,6,2]=>[4,3,2,8,6,1,7,5]
[5,3,1,6,2,8,7,4]=>[2,4,1,8,7,3,5,6]
[3,5,4,1,7,8,2,6]=>[3,1,2,7,5,8,4,6]
[6,4,2,1,5,7,3,8]=>[3,5,2,7,4,1,6,8]
[3,1,5,8,7,2,4,6]=>[1,3,6,7,8,5,2,4]
[3,2,5,7,8,4,6,1]=>[6,1,3,4,8,2,7,5]
[5,3,7,4,2,6,8,1]=>[5,2,1,4,6,3,8,7]
[5,3,7,4,2,6,1,8]=>[5,2,1,4,7,6,3,8]
[5,3,8,4,2,1,6,7]=>[6,2,1,5,4,7,8,3]
[5,2,8,4,3,1,6,7]=>[6,5,2,1,4,7,8,3]
[5,1,8,4,3,2,6,7]=>[6,5,4,1,7,8,2,3]
[5,2,7,4,3,6,1,8]=>[5,4,1,7,2,6,3,8]
[5,2,7,4,3,6,8,1]=>[5,4,1,6,2,3,8,7]
[5,3,7,4,1,6,8,2]=>[6,2,1,4,8,5,3,7]
[3,1,5,7,8,4,6,2]=>[6,1,3,4,8,7,2,5]
[3,1,5,7,8,4,2,6]=>[7,1,3,6,4,8,2,5]
[5,2,7,4,1,3,8,6]=>[8,5,2,1,4,6,3,7]
[6,2,3,7,4,8,5,1]=>[8,5,2,3,1,4,7,6]
[6,2,3,7,4,8,1,5]=>[5,7,2,3,1,4,8,6]
[6,2,3,7,4,5,1,8]=>[5,7,2,3,1,6,4,8]
[6,1,3,7,4,5,8,2]=>[5,6,3,4,1,8,2,7]
[1,2,8,6,4,3,5,7]=>[6,5,7,4,8,1,2,3]
[6,1,3,7,4,5,2,8]=>[5,7,3,6,2,1,4,8]
[1,8,6,3,5,4,2,7]=>[7,4,6,5,3,8,1,2]
[2,6,1,8,5,3,4,7]=>[6,7,5,1,2,8,3,4]
[4,5,7,8,1,6,3,2]=>[8,1,2,7,5,3,6,4]
[2,5,7,8,4,6,3,1]=>[5,2,3,8,7,1,6,4]
[1,8,2,7,5,3,4,6]=>[6,7,5,8,3,4,1,2]
[2,5,4,1,8,6,7,3]=>[3,2,6,8,1,7,4,5]
[5,6,8,3,4,2,7,1]=>[1,4,2,6,5,8,7,3]
[4,1,5,3,8,6,7,2]=>[3,1,6,8,4,7,2,5]
[7,3,5,1,4,8,6,2]=>[8,2,5,3,7,4,1,6]
[7,1,3,2,4,5,6,8]=>[4,2,3,5,6,7,1,8]
[3,8,7,1,4,2,5,6]=>[6,1,4,5,7,8,3,2]
[5,1,7,8,2,4,3,6]=>[7,5,1,6,3,8,2,4]
[8,5,4,6,1,7,3,2]=>[3,2,8,7,5,4,6,1]
[5,3,2,1,4,6,8,7]=>[3,2,8,4,1,5,6,7]
[5,3,2,4,8,1,6,7]=>[3,2,4,1,6,7,8,5]
[5,3,2,4,7,1,8,6]=>[2,8,3,1,4,6,5,7]
[8,4,5,3,7,1,2,6]=>[2,6,4,3,7,8,5,1]
[4,8,1,7,3,5,6,2]=>[1,5,6,8,7,3,4,2]
[5,3,2,4,6,8,1,7]=>[3,2,4,1,5,7,8,6]
[2,7,6,3,1,4,8,5]=>[4,8,5,6,1,3,2,7]
[3,7,4,5,6,8,2,1]=>[3,4,5,1,2,8,7,6]
[8,7,1,4,2,5,3,6]=>[7,5,3,4,6,8,2,1]
[4,6,8,3,7,1,5,2]=>[4,1,2,8,6,7,5,3]
[4,7,3,5,8,1,6,2]=>[1,3,4,8,6,2,7,5]
[8,4,3,5,7,1,6,2]=>[3,2,4,8,6,7,5,1]
[1,7,6,4,2,5,3,8]=>[7,5,4,6,3,1,2,8]
[7,6,4,2,8,3,1,5]=>[7,4,3,6,2,1,8,5]
[8,5,2,4,3,7,1,6]=>[5,3,4,2,7,8,6,1]
[8,5,1,4,3,7,6,2]=>[4,8,5,2,7,3,6,1]
[7,5,4,1,3,6,8,2]=>[5,6,3,2,8,4,1,7]
[3,6,7,2,5,1,8,4]=>[8,4,1,2,6,5,3,7]
[2,6,5,7,1,4,8,3]=>[6,3,2,8,1,5,4,7]
[3,5,1,7,8,4,6,2]=>[2,6,1,4,8,7,3,5]
[1,5,2,4,6,8,7,3]=>[8,4,2,5,7,1,3,6]
[8,1,2,4,7,6,5,3]=>[8,7,4,6,2,3,5,1]
[3,4,1,8,6,7,5,2]=>[5,8,1,2,7,6,3,4]
[4,3,8,5,1,7,6,2]=>[1,4,8,2,7,5,6,3]
[6,1,3,2,8,5,7,4]=>[6,8,3,7,2,1,4,5]
[8,5,3,2,4,7,1,6]=>[4,3,5,2,7,8,6,1]
[6,7,4,2,5,8,3,1]=>[5,3,1,8,4,2,7,6]
[8,5,4,2,6,3,1,7]=>[7,4,3,2,6,5,8,1]
[8,5,2,1,6,4,3,7]=>[7,3,6,4,2,5,8,1]
[8,4,6,5,1,3,2,7]=>[2,7,5,6,4,3,8,1]
[1,3,8,4,7,5,2,6]=>[7,4,6,8,2,5,1,3]
[5,3,7,1,4,6,8,2]=>[2,5,1,6,8,4,3,7]
[5,7,2,6,1,4,8,3]=>[6,1,8,3,5,4,2,7]
[3,8,5,7,6,1,2,4]=>[6,3,7,8,1,5,4,2]
[8,4,7,5,2,1,3,6]=>[2,6,5,7,4,8,3,1]
[3,8,6,4,7,2,1,5]=>[4,7,6,1,3,8,5,2]
[5,2,7,4,6,8,3,1]=>[4,1,5,3,8,2,7,6]
[4,8,6,3,7,2,1,5]=>[4,7,1,6,3,8,5,2]
[2,8,3,1,7,6,4,5]=>[7,8,3,6,1,4,5,2]
[2,5,6,4,8,1,7,3]=>[2,4,3,8,1,6,7,5]
[5,7,2,1,6,8,3,4]=>[7,3,1,5,8,4,2,6]
[4,7,8,5,1,6,2,3]=>[7,8,1,5,4,2,6,3]
[4,5,2,1,6,7,8,3]=>[3,1,5,2,6,8,4,7]
[4,5,6,3,1,7,8,2]=>[1,2,6,4,3,8,5,7]
[3,5,6,7,4,1,8,2]=>[2,3,8,1,6,5,4,7]
[3,5,1,4,2,8,7,6]=>[8,1,4,2,7,3,5,6]
[3,5,1,4,2,6,8,7]=>[1,4,8,3,2,5,6,7]
[3,5,1,4,2,6,7,8]=>[1,5,3,4,2,6,7,8]
[1,3,8,4,6,2,5,7]=>[4,6,7,2,5,8,1,3]
[1,8,4,2,3,7,5,6]=>[7,3,8,4,5,6,1,2]
[1,4,8,3,2,7,6,5]=>[8,2,4,7,5,6,1,3]
[1,3,7,6,5,2,4,8]=>[6,7,5,2,4,1,3,8]
[1,2,8,6,7,5,4,3]=>[4,8,7,6,5,1,2,3]
[1,7,5,4,3,2,6,8]=>[6,5,4,3,7,1,2,8]
[3,8,5,7,4,6,2,1]=>[3,5,8,7,1,6,4,2]
[8,6,2,4,5,7,1,3]=>[4,7,3,5,2,8,6,1]
[3,8,7,4,5,2,6,1]=>[4,6,5,8,1,7,3,2]
[6,5,2,4,1,3,8,7]=>[8,3,5,4,2,1,6,7]
[7,6,3,2,5,1,8,4]=>[3,8,4,6,5,2,1,7]
[4,2,7,8,3,6,1,5]=>[1,5,7,3,8,2,6,4]
[4,6,3,7,5,8,2,1]=>[5,1,3,2,4,8,7,6]
[4,2,5,7,8,6,3,1]=>[1,4,8,3,7,2,6,5]
[3,6,8,4,5,2,1,7]=>[4,2,7,1,6,5,8,3]
[8,2,5,7,3,6,1,4]=>[5,3,7,8,2,6,4,1]
[4,2,5,8,7,6,3,1]=>[8,1,7,3,6,2,5,4]
[6,7,2,4,5,1,8,3]=>[4,8,3,1,6,5,2,7]
[5,2,7,8,3,6,1,4]=>[5,1,7,3,8,2,6,4]
[7,2,8,3,1,6,4,5]=>[4,7,8,2,5,1,6,3]
[7,2,3,4,1,8,5,6]=>[2,3,4,7,8,5,1,6]
[2,4,7,8,1,3,6,5]=>[8,2,5,6,1,3,7,4]
[8,5,1,2,3,7,4,6]=>[7,8,3,4,2,5,6,1]
[5,2,8,3,1,4,7,6]=>[4,8,2,1,5,6,7,3]
[8,7,2,5,1,4,3,6]=>[7,3,5,6,4,8,2,1]
[8,4,1,3,2,7,6,5]=>[8,4,2,7,3,5,6,1]
[8,3,5,1,2,4,7,6]=>[2,8,4,5,3,6,7,1]
[8,6,5,1,7,4,2,3]=>[7,8,6,4,3,2,5,1]
[8,7,4,5,1,2,6,3]=>[8,5,3,6,4,7,2,1]
[3,8,6,2,7,1,5,4]=>[8,4,6,1,3,7,5,2]
[3,4,8,2,1,7,6,5]=>[8,1,2,4,7,5,6,3]
[3,8,4,2,1,7,6,5]=>[3,8,1,4,7,5,6,2]
[8,3,1,7,5,6,2,4]=>[7,2,5,8,6,3,4,1]
[8,4,1,7,5,2,6,3]=>[2,8,6,5,7,3,4,1]
[8,4,2,7,5,3,1,6]=>[2,7,6,3,5,8,4,1]
[8,4,3,7,5,1,2,6]=>[3,2,6,7,5,8,4,1]
[8,5,7,6,4,3,1,2]=>[2,7,8,6,5,4,3,1]
[8,4,7,6,5,2,1,3]=>[7,2,6,8,5,4,3,1]
[8,3,1,4,7,6,2,5]=>[2,7,8,4,6,3,5,1]
[8,3,5,7,6,2,4,1]=>[3,6,8,2,7,5,4,1]
[1,4,6,8,2,5,7,3]=>[6,2,3,8,5,7,1,4]
[3,6,2,4,8,1,7,5]=>[8,1,3,4,2,6,7,5]
[7,3,8,2,4,6,1,5]=>[2,4,5,7,1,8,6,3]
[1,5,2,6,8,3,7,4]=>[4,2,8,6,7,1,3,5]
[4,5,3,1,8,2,6,7]=>[1,6,3,2,7,8,4,5]
[5,1,7,8,3,6,2,4]=>[5,1,7,3,8,6,2,4]
[7,2,8,4,1,3,5,6]=>[5,6,2,4,7,1,8,3]
[6,1,7,3,2,8,4,5]=>[4,7,8,5,2,1,3,6]
[6,2,1,7,3,8,4,5]=>[7,8,2,5,3,1,4,6]
[5,8,2,1,3,4,6,7]=>[4,3,5,1,6,7,8,2]
[4,2,5,1,8,3,6,7]=>[6,2,1,3,7,8,4,5]
[7,4,2,8,3,1,5,6]=>[6,3,2,5,7,1,8,4]
[7,4,2,8,3,5,1,6]=>[5,2,7,3,6,1,8,4]
[6,7,8,5,2,1,4,3]=>[5,1,8,6,2,7,4,3]
[1,6,2,7,8,4,3,5]=>[7,6,4,2,8,1,3,5]
[7,3,4,1,8,6,2,5]=>[2,3,7,8,6,4,1,5]
[4,7,6,3,5,8,2,1]=>[4,5,1,3,2,8,7,6]
[3,7,6,5,2,4,8,1]=>[5,6,4,1,3,2,8,7]
[1,4,7,8,6,2,5,3]=>[8,6,2,3,7,5,1,4]
[1,6,7,8,3,2,5,4]=>[5,2,8,6,3,7,1,4]
[1,3,2,7,8,4,6,5]=>[8,6,2,4,7,1,3,5]
[6,8,2,3,5,7,4,1]=>[5,8,3,1,4,7,6,2]
[5,7,1,4,6,2,8,3]=>[4,1,8,6,3,5,2,7]
[6,3,1,4,7,8,2,5]=>[2,7,4,5,1,8,3,6]
[8,7,1,5,4,6,3,2]=>[5,4,8,7,3,6,2,1]
[4,5,7,1,8,6,2,3]=>[1,2,7,8,6,4,3,5]
[4,3,8,6,5,2,7,1]=>[6,1,5,2,4,8,7,3]
[2,3,8,6,5,1,7,4]=>[8,6,5,1,2,4,7,3]
[5,4,7,3,1,2,6,8]=>[5,2,1,6,4,7,3,8]
[7,6,2,1,5,4,3,8]=>[7,3,6,4,5,2,1,8]
[3,1,2,6,5,7,8,4]=>[1,5,4,6,8,2,3,7]
[7,3,2,6,1,4,8,5]=>[2,8,3,5,6,4,1,7]
[3,2,5,6,8,4,1,7]=>[1,3,4,7,2,6,8,5]
[7,2,6,8,5,4,3,1]=>[3,8,7,6,2,1,5,4]
[3,7,5,6,2,4,1,8]=>[5,3,7,1,6,4,2,8]
[4,2,5,1,3,6,8,7]=>[8,2,1,4,3,5,6,7]
[5,3,4,2,7,1,8,6]=>[2,3,1,8,4,6,5,7]
[5,6,8,2,1,3,4,7]=>[5,4,1,6,2,7,8,3]
[6,5,2,1,3,8,4,7]=>[3,7,8,4,2,1,5,6]
[2,4,3,5,6,8,1,7]=>[3,1,2,4,5,7,8,6]
[6,3,2,4,8,5,1,7]=>[2,7,3,4,1,6,8,5]
[6,3,1,2,7,8,4,5]=>[2,7,5,8,3,1,4,6]
[8,4,7,1,2,5,3,6]=>[7,4,2,5,6,8,3,1]
[7,4,6,1,8,5,2,3]=>[2,7,8,6,4,3,1,5]
[8,5,6,7,2,1,4,3]=>[5,2,8,6,3,7,4,1]
[2,5,6,3,8,4,7,1]=>[2,6,3,8,1,4,7,5]
[6,8,4,2,3,1,7,5]=>[4,5,3,1,8,6,7,2]
[1,7,6,2,8,3,5,4]=>[8,6,7,4,3,1,2,5]
[7,1,5,6,3,2,8,4]=>[5,3,8,6,2,4,1,7]
[4,1,3,8,5,2,7,6]=>[5,1,8,3,6,7,2,4]
[1,8,5,4,7,2,3,6]=>[6,4,3,7,8,5,1,2]
[8,2,5,6,4,3,1,7]=>[3,7,6,2,5,4,8,1]
[2,4,3,8,6,5,1,7]=>[7,2,6,1,3,5,8,4]
[3,1,4,5,8,6,2,7]=>[1,7,3,4,6,8,2,5]
[1,8,3,2,5,4,6,7]=>[3,6,4,5,7,8,1,2]
[5,1,7,3,2,8,4,6]=>[4,7,1,8,5,2,3,6]
[5,7,8,1,3,2,4,6]=>[6,4,1,5,7,2,8,3]
[8,2,4,1,6,7,3,5]=>[3,7,2,5,8,4,6,1]
[8,7,3,6,2,4,1,5]=>[3,5,7,6,8,4,2,1]
[1,7,4,8,3,6,2,5]=>[3,5,7,2,8,6,1,4]
[1,7,5,8,4,3,2,6]=>[3,7,6,5,2,8,1,4]
[6,3,1,2,7,8,5,4]=>[2,5,8,7,3,1,4,6]
[8,2,7,5,3,4,1,6]=>[5,7,6,2,4,8,3,1]
[6,3,1,2,8,7,5,4]=>[8,2,7,6,3,1,4,5]
[8,4,7,2,6,3,1,5]=>[2,7,4,6,8,5,3,1]
[1,2,5,7,8,3,6,4]=>[8,3,6,4,7,1,2,5]
[7,6,3,4,2,1,8,5]=>[3,5,4,8,6,2,1,7]
[8,4,6,2,3,7,1,5]=>[4,2,5,7,3,8,6,1]
[3,4,5,8,1,7,2,6]=>[1,2,3,7,8,5,6,4]
[6,3,4,2,7,8,1,5]=>[2,3,7,4,1,5,8,6]
[5,6,3,7,8,2,1,4]=>[1,7,3,2,6,4,8,5]
[8,6,3,4,7,2,1,5]=>[3,4,7,6,2,8,5,1]
[4,3,8,6,7,5,1,2]=>[7,1,4,8,2,6,5,3]
[4,5,6,2,7,8,3,1]=>[1,2,5,3,8,4,7,6]
[4,5,6,2,7,1,8,3]=>[1,2,8,4,3,6,5,7]
[4,5,6,2,1,7,8,3]=>[1,4,2,6,3,8,5,7]
[4,5,6,2,1,7,3,8]=>[1,4,2,7,5,3,6,8]
[6,8,7,2,3,1,4,5]=>[4,6,5,1,7,8,3,2]
[4,5,1,6,7,3,2,8]=>[1,4,2,7,6,3,5,8]
[2,5,1,8,3,7,4,6]=>[7,2,8,1,5,6,3,4]
[5,7,2,1,3,8,4,6]=>[3,7,1,8,4,5,2,6]
[3,7,5,4,1,6,8,2]=>[6,4,1,3,8,5,2,7]
[7,1,5,4,2,6,3,8]=>[7,5,4,2,3,6,1,8]
[8,5,6,3,7,2,1,4]=>[4,2,7,6,3,8,5,1]
[2,7,4,5,6,8,1,3]=>[3,4,7,5,1,2,8,6]
[2,3,4,6,8,1,7,5]=>[4,8,1,2,3,6,7,5]
[2,3,5,8,1,6,7,4]=>[3,6,8,1,2,5,7,4]
[2,4,7,5,6,8,1,3]=>[4,7,2,5,1,3,8,6]
[7,3,4,6,2,8,1,5]=>[2,3,5,7,4,1,8,6]
[4,7,6,5,2,8,3,1]=>[8,5,1,4,3,2,7,6]
[2,5,4,8,6,7,3,1]=>[2,5,8,3,7,1,6,4]
[7,5,4,1,6,8,2,3]=>[7,5,3,2,8,4,1,6]
[8,5,2,1,7,6,3,4]=>[7,8,3,2,6,4,5,1]
[2,7,3,6,4,1,8,5]=>[5,8,3,6,1,4,2,7]
[7,2,1,8,5,6,4,3]=>[5,8,7,2,6,3,1,4]
[3,6,5,1,4,8,2,7]=>[5,7,1,3,2,8,4,6]
[6,3,5,4,8,1,2,7]=>[6,2,4,3,1,7,8,5]
[2,5,1,4,6,3,8,7]=>[4,5,1,2,8,3,6,7]
[3,1,5,6,4,2,8,7]=>[1,3,5,4,8,2,6,7]
[8,5,6,4,3,1,7,2]=>[2,8,6,5,4,3,7,1]
[8,3,5,6,7,1,2,4]=>[6,2,3,7,4,8,5,1]
[2,1,4,7,3,6,8,5]=>[6,8,1,3,5,2,4,7]
[5,3,7,6,4,8,2,1]=>[1,5,4,2,3,8,7,6]
[3,7,6,4,2,8,1,5]=>[5,4,7,1,3,2,8,6]
[8,6,1,4,3,7,2,5]=>[5,4,7,8,3,2,6,1]
[8,4,7,5,1,6,3,2]=>[8,2,7,5,4,6,3,1]
[2,1,5,3,7,8,6,4]=>[3,5,8,1,7,2,4,6]
[5,1,4,7,6,8,2,3]=>[7,3,1,5,4,8,2,6]
[8,4,1,3,7,6,5,2]=>[2,8,7,4,6,3,5,1]
[8,3,4,1,6,7,5,2]=>[2,3,5,8,7,4,6,1]
[8,1,4,2,6,5,7,3]=>[3,6,5,8,2,4,7,1]
[8,6,4,3,7,2,1,5]=>[4,3,7,6,2,8,5,1]
[5,8,1,4,3,2,6,7]=>[6,5,3,1,4,7,8,2]
[5,6,4,3,8,2,7,1]=>[1,4,3,2,6,8,7,5]
[1,6,4,3,8,2,7,5]=>[3,8,4,2,6,7,1,5]
[6,7,4,1,3,2,5,8]=>[6,4,5,3,1,7,2,8]
[7,8,1,4,3,2,5,6]=>[6,5,3,4,7,1,8,2]
[7,1,8,4,5,3,6,2]=>[4,6,5,8,7,2,1,3]
[4,3,1,8,6,5,7,2]=>[1,6,2,5,8,7,3,4]
[4,3,2,7,5,1,8,6]=>[2,1,5,8,3,6,4,7]
[5,2,3,7,4,1,8,6]=>[5,8,2,1,3,6,4,7]
[2,1,7,4,3,6,8,5]=>[4,6,8,1,5,2,3,7]
[7,1,2,4,5,6,8,3]=>[4,5,6,8,2,3,1,7]
[2,8,7,1,4,5,6,3]=>[5,6,8,4,7,1,3,2]
[8,7,1,3,4,5,6,2]=>[4,5,6,8,3,7,2,1]
[5,8,3,1,4,6,7,2]=>[5,3,1,6,8,4,7,2]
[1,7,2,5,4,6,8,3]=>[5,4,6,8,3,1,2,7]
[2,5,3,8,1,6,7,4]=>[6,2,8,1,3,5,7,4]
[1,6,4,2,5,7,8,3]=>[5,3,6,2,8,1,4,7]
[6,5,3,4,1,7,8,2]=>[3,6,4,2,1,8,5,7]
[5,6,3,4,1,7,8,2]=>[3,1,6,4,2,8,5,7]
[2,5,3,1,4,7,8,6]=>[3,6,1,2,8,4,5,7]
[6,8,2,3,1,5,7,4]=>[3,4,6,1,8,5,7,2]
[4,3,1,5,2,7,8,6]=>[4,2,1,6,8,3,5,7]
[5,2,3,1,4,7,8,6]=>[2,3,6,1,8,4,5,7]
[7,2,1,3,5,6,8,4]=>[2,5,6,8,3,4,1,7]
[7,3,6,4,5,8,1,2]=>[4,7,2,5,3,1,8,6]
[6,4,3,7,5,8,2,1]=>[2,5,3,1,4,8,7,6]
[5,2,4,7,8,6,3,1]=>[4,1,8,3,7,2,6,5]
[5,4,8,7,2,3,1,6]=>[2,1,5,7,6,8,4,3]
[8,1,4,5,3,6,2,7]=>[3,5,4,7,2,6,8,1]
[8,3,5,1,4,6,2,7]=>[2,5,7,4,3,6,8,1]
[5,8,2,1,7,4,3,6]=>[7,3,1,6,8,4,5,2]
[6,5,7,2,1,8,4,3]=>[8,4,2,1,7,5,3,6]
[1,5,4,7,3,8,6,2]=>[2,8,3,5,4,7,1,6]
[7,4,1,3,8,5,6,2]=>[6,2,8,4,7,3,1,5]
[3,6,8,4,1,7,2,5]=>[7,4,1,2,8,5,6,3]
[2,1,8,4,7,6,3,5]=>[7,8,4,6,1,5,2,3]
[2,7,5,6,8,4,3,1]=>[3,4,2,8,7,1,6,5]
[3,5,2,4,7,8,6,1]=>[5,1,2,8,3,4,7,6]
[7,5,6,3,8,2,1,4]=>[4,2,7,6,3,1,8,5]
[1,6,2,7,4,5,8,3]=>[5,6,4,2,8,1,3,7]
[7,4,2,6,1,5,8,3]=>[6,2,8,3,5,4,1,7]
[8,4,1,6,2,5,7,3]=>[6,2,8,5,3,4,7,1]
[7,3,4,5,1,6,8,2]=>[2,3,6,4,8,5,1,7]
[8,4,2,7,6,1,5,3]=>[2,8,6,7,3,5,4,1]
[8,4,7,1,2,6,5,3]=>[2,8,7,4,5,6,3,1]
[8,4,7,6,1,2,5,3]=>[2,8,5,6,7,4,3,1]
[8,7,6,2,1,5,3,4]=>[4,7,8,5,6,3,2,1]
[5,7,8,1,6,2,4,3]=>[1,8,6,7,4,2,5,3]
[6,8,4,7,5,2,1,3]=>[3,1,7,6,8,5,4,2]
[6,8,2,7,1,5,4,3]=>[8,7,3,1,5,6,4,2]
[6,8,7,4,2,5,1,3]=>[5,1,7,4,8,6,3,2]
[6,8,4,5,7,2,1,3]=>[3,1,7,6,4,8,5,2]
[6,8,4,2,5,1,3,7]=>[4,6,3,1,7,5,8,2]
[2,5,3,7,6,4,8,1]=>[2,6,5,1,3,4,8,7]
[3,1,5,7,6,4,2,8]=>[7,1,3,6,5,2,4,8]
[3,1,6,5,4,7,2,8]=>[5,1,4,3,7,2,6,8]
[2,5,6,8,3,4,7,1]=>[2,5,3,6,8,1,7,4]
[4,1,3,6,5,2,7,8]=>[6,3,1,5,2,4,7,8]
[3,6,2,4,5,7,1,8]=>[1,3,4,5,2,7,6,8]
[3,6,2,5,4,7,1,8]=>[5,1,3,4,2,7,6,8]
[3,5,1,7,6,4,2,8]=>[2,7,1,6,5,3,4,8]
[3,6,1,4,5,7,2,8]=>[1,4,5,7,3,2,6,8]
[4,3,1,6,5,2,7,8]=>[2,1,6,5,3,4,7,8]
[4,1,2,6,5,3,7,8]=>[6,5,2,1,3,4,7,8]
[4,6,1,3,5,2,7,8]=>[4,1,6,3,5,2,7,8]
[3,6,4,2,5,7,1,8]=>[4,1,3,5,2,7,6,8]
[4,2,6,3,5,1,7,8]=>[4,1,6,2,5,3,7,8]
[3,4,7,6,5,1,2,8]=>[6,7,1,2,5,4,3,8]
[4,5,2,7,1,3,6,8]=>[3,1,5,2,6,7,4,8]
[4,6,1,2,5,3,7,8]=>[6,3,1,4,5,2,7,8]
[2,6,5,1,4,8,7,3]=>[8,5,3,1,2,7,4,6]
[5,8,4,7,1,3,6,2]=>[1,6,3,8,5,7,4,2]
[6,4,7,1,3,5,2,8]=>[5,2,7,4,1,6,3,8]
[6,8,1,3,5,7,4,2]=>[5,8,4,1,7,3,6,2]
[5,8,3,2,7,4,6,1]=>[3,1,6,8,4,7,5,2]
[6,8,3,1,5,4,7,2]=>[3,6,5,1,8,4,7,2]
[6,8,1,2,5,3,7,4]=>[8,6,3,4,1,5,7,2]
[5,2,8,3,4,6,7,1]=>[4,5,1,6,8,2,7,3]
[5,2,7,1,6,4,8,3]=>[6,5,1,8,2,4,3,7]
[4,5,2,6,1,3,7,8]=>[3,1,5,2,6,4,7,8]
[4,3,5,8,6,1,7,2]=>[1,8,2,3,6,5,7,4]
[5,1,3,6,7,4,2,8]=>[4,7,3,1,6,2,5,8]
[4,2,8,3,6,7,5,1]=>[1,5,8,4,7,2,6,3]
[3,1,7,8,5,6,2,4]=>[7,5,1,3,8,6,2,4]
[6,2,1,7,5,3,4,8]=>[6,7,2,5,3,1,4,8]
[3,7,1,8,5,2,4,6]=>[6,7,1,5,8,3,2,4]
[4,2,8,6,7,1,3,5]=>[1,6,7,4,8,2,5,3]
[6,1,2,4,7,3,5,8]=>[4,6,7,2,3,1,5,8]
[5,3,1,6,4,7,2,8]=>[2,5,4,1,7,3,6,8]
[1,2,4,5,8,7,3,6]=>[7,8,3,4,6,1,2,5]
[1,3,4,7,5,8,6,2]=>[8,5,2,3,4,7,1,6]
[1,5,2,3,7,8,6,4]=>[5,2,8,7,1,3,4,6]
[4,2,8,1,6,5,7,3]=>[1,6,5,8,2,4,7,3]
[5,6,1,4,8,3,2,7]=>[4,1,7,6,2,8,3,5]
[3,6,4,1,7,2,8,5]=>[3,8,1,6,4,2,5,7]
[5,2,6,3,7,8,4,1]=>[5,3,1,8,2,4,7,6]
[2,4,1,3,7,8,6,5]=>[2,5,8,1,7,3,4,6]
[2,6,1,5,7,8,4,3]=>[4,5,2,8,1,7,3,6]
[5,1,6,4,7,8,2,3]=>[4,3,1,7,5,8,2,6]
[8,4,6,3,7,5,1,2]=>[2,4,7,3,8,6,5,1]
[4,7,6,8,2,3,5,1]=>[5,6,1,3,2,8,7,4]
[5,7,4,8,1,2,6,3]=>[1,8,5,3,6,2,7,4]
[3,6,7,5,8,1,4,2]=>[2,8,6,1,4,3,7,5]
[3,7,5,6,8,2,4,1]=>[3,6,4,1,2,8,7,5]
[2,7,1,6,8,4,5,3]=>[6,4,8,7,1,3,2,5]
[1,5,4,7,2,6,3,8]=>[3,2,7,5,6,1,4,8]
[2,4,5,8,3,1,7,6]=>[2,3,5,8,1,6,7,4]
[1,4,7,5,8,3,6,2]=>[4,6,2,3,8,7,1,5]
[2,6,8,7,3,5,1,4]=>[5,2,7,8,6,1,4,3]
[4,7,8,6,2,5,1,3]=>[5,7,1,2,8,6,4,3]
[4,8,7,3,5,6,2,1]=>[4,5,8,1,7,6,3,2]
[1,7,6,3,5,4,2,8]=>[7,4,6,5,3,1,2,8]
[4,3,8,1,6,5,7,2]=>[1,6,2,5,8,4,7,3]
[1,3,6,2,5,8,7,4]=>[8,5,2,3,7,1,4,6]
[5,8,7,1,4,6,3,2]=>[1,5,8,7,4,6,3,2]
[6,2,5,1,3,4,8,7]=>[8,2,4,5,3,1,6,7]
[2,6,5,1,3,4,8,7]=>[8,4,5,1,3,2,6,7]
[4,6,5,1,2,7,3,8]=>[1,7,4,5,3,2,6,8]
[5,6,4,1,2,7,3,8]=>[7,4,1,5,3,2,6,8]
[8,1,5,6,2,4,3,7]=>[7,5,3,6,2,4,8,1]
[6,4,5,1,2,7,3,8]=>[7,4,2,5,3,1,6,8]
[5,4,6,1,3,2,7,8]=>[6,4,2,1,5,3,7,8]
[5,7,1,4,3,2,6,8]=>[6,5,3,1,4,7,2,8]
[2,6,4,1,3,7,5,8]=>[7,4,1,3,5,2,6,8]
[7,8,5,3,2,1,6,4]=>[5,4,8,6,3,1,7,2]
[1,2,6,7,8,4,5,3]=>[3,6,4,8,7,1,2,5]
[6,1,4,8,2,7,5,3]=>[8,3,7,5,1,6,2,4]
[5,2,3,7,1,8,4,6]=>[7,8,2,1,3,5,4,6]
[7,2,3,1,8,4,6,5]=>[8,2,3,6,7,4,1,5]
[5,4,1,7,3,2,8,6]=>[5,2,1,8,6,3,4,7]
[7,3,4,5,1,8,6,2]=>[2,3,4,8,7,5,1,6]
[1,5,6,7,4,8,2,3]=>[2,3,7,5,4,8,1,6]
[6,3,2,5,7,4,8,1]=>[2,4,6,3,1,5,8,7]
[5,7,3,8,1,2,4,6]=>[5,3,1,6,7,2,8,4]
[4,5,2,7,6,3,1,8]=>[1,2,7,6,3,5,4,8]
[4,5,2,1,7,6,3,8]=>[1,7,3,2,6,4,5,8]
[2,6,7,8,3,1,4,5]=>[6,5,2,7,1,3,8,4]
[6,3,2,5,1,7,8,4]=>[2,6,3,4,1,8,5,7]
[5,6,7,1,8,4,2,3]=>[1,7,2,8,6,4,3,5]
[1,7,8,4,6,5,2,3]=>[4,7,2,8,6,5,1,3]
[1,7,3,2,8,6,5,4]=>[8,7,3,6,4,1,2,5]
[2,7,8,1,6,5,3,4]=>[7,8,6,4,1,2,5,3]
[2,5,8,1,7,6,3,4]=>[2,7,8,6,1,4,5,3]
[8,1,5,7,3,4,6,2]=>[5,3,6,8,7,2,4,1]
[5,8,2,7,6,3,1,4]=>[1,7,6,8,3,5,4,2]
[2,8,4,7,6,3,1,5]=>[7,3,6,8,5,1,4,2]
[1,8,2,4,7,6,3,5]=>[7,8,4,6,3,5,1,2]
[4,5,8,7,1,6,2,3]=>[1,2,7,8,5,6,4,3]
[1,8,2,4,6,7,5,3]=>[5,8,4,7,3,6,1,2]
[2,5,1,8,4,7,6,3]=>[2,8,5,7,1,6,3,4]
[3,4,2,8,1,7,6,5]=>[8,1,2,7,3,5,6,4]
[2,4,5,8,1,7,6,3]=>[8,2,3,7,1,5,6,4]
[3,1,8,2,6,7,5,4]=>[5,8,1,7,4,6,2,3]
[2,6,8,1,4,3,7,5]=>[5,8,4,1,2,6,7,3]
[4,1,8,2,6,7,3,5]=>[1,7,5,8,4,6,2,3]
[1,6,5,2,8,7,3,4]=>[7,3,2,8,6,1,4,5]
[2,6,1,5,8,7,3,4]=>[4,7,2,8,1,6,3,5]
[8,1,7,3,5,2,4,6]=>[4,6,7,5,8,2,3,1]
[8,1,3,2,7,6,4,5]=>[7,8,3,6,2,4,5,1]
[7,3,4,8,6,2,5,1]=>[6,8,2,3,1,7,5,4]
[7,5,8,1,6,2,3,4]=>[6,7,2,8,4,1,5,3]
[6,8,4,5,3,1,7,2]=>[3,1,8,6,5,4,7,2]
[6,7,5,3,2,8,4,1]=>[4,1,8,5,3,2,7,6]
[6,2,5,3,8,1,4,7]=>[4,6,2,3,1,7,8,5]
[7,6,1,3,5,2,4,8]=>[4,6,7,3,5,2,1,8]
[6,2,4,5,3,8,1,7]=>[3,5,2,4,1,7,8,6]
[6,1,5,4,7,2,3,8]=>[6,4,3,7,2,1,5,8]
[6,8,5,4,7,1,3,2]=>[1,8,6,4,3,7,5,2]
[1,6,8,4,2,5,7,3]=>[6,4,2,8,5,7,1,3]
[7,5,8,1,3,4,2,6]=>[5,7,4,2,6,1,8,3]
[1,4,2,8,3,5,7,6]=>[2,8,5,6,7,1,3,4]
[1,3,5,4,8,7,2,6]=>[3,7,8,2,4,6,1,5]
[1,6,2,4,8,3,7,5]=>[8,4,6,2,7,1,3,5]
[1,7,8,5,4,2,6,3]=>[8,6,5,4,2,7,1,3]
[1,5,2,8,6,4,7,3]=>[2,6,5,8,7,1,3,4]
[1,6,5,2,7,4,8,3]=>[6,5,3,2,8,1,4,7]
[5,1,6,7,4,2,8,3]=>[3,1,8,6,5,2,4,7]
[6,8,1,5,2,3,7,4]=>[8,5,6,3,1,4,7,2]
[1,5,4,2,8,6,7,3]=>[3,2,6,8,7,1,4,5]
[1,8,5,4,6,2,7,3]=>[4,3,8,6,5,7,1,2]
[1,7,5,4,6,2,8,3]=>[4,3,8,6,5,1,2,7]
[5,8,4,1,6,2,7,3]=>[1,8,6,4,3,5,7,2]
[6,4,5,1,7,2,8,3]=>[2,8,6,4,3,1,5,7]
[4,8,1,3,7,6,2,5]=>[1,7,8,4,6,3,5,2]
[4,5,3,1,2,8,7,6]=>[1,3,2,8,7,4,5,6]
[6,4,2,3,1,8,7,5]=>[8,3,2,4,1,7,5,6]
[6,5,2,1,3,8,7,4]=>[8,3,7,4,2,1,5,6]
[7,6,1,8,2,5,3,4]=>[7,8,5,6,3,2,1,4]
[8,4,2,3,7,6,1,5]=>[7,2,8,3,4,6,5,1]
[5,7,8,1,2,4,3,6]=>[7,4,1,5,6,2,8,3]
[1,7,6,8,3,5,4,2]=>[8,5,3,2,7,6,1,4]
[5,7,6,4,2,1,3,8]=>[1,6,5,7,4,3,2,8]
[6,5,7,4,1,3,2,8]=>[7,5,2,1,6,4,3,8]
[4,6,1,8,3,5,2,7]=>[1,5,7,6,2,8,3,4]
[7,1,6,8,2,5,4,3]=>[8,7,5,3,6,2,1,4]
[4,7,1,8,3,2,5,6]=>[1,6,5,7,8,3,2,4]
[4,8,3,6,1,5,2,7]=>[1,3,7,5,6,4,8,2]
[1,7,8,6,4,5,3,2]=>[5,2,8,7,6,4,1,3]
[3,2,8,6,4,5,1,7]=>[5,7,1,6,2,4,8,3]
[8,4,3,6,2,5,1,7]=>[3,2,5,7,6,4,8,1]
[1,6,8,7,4,3,5,2]=>[2,6,5,8,7,4,1,3]
[3,1,2,6,8,7,5,4]=>[8,1,4,7,6,2,3,5]
[5,7,4,2,1,8,6,3]=>[1,8,4,3,7,5,2,6]
[8,6,5,7,2,4,3,1]=>[8,5,3,2,7,6,4,1]
[7,4,6,1,8,5,3,2]=>[8,2,7,6,4,3,1,5]
[7,4,6,3,8,1,5,2]=>[2,4,8,6,3,1,7,5]
[7,4,8,1,6,3,2,5]=>[2,7,6,8,4,1,5,3]
[7,4,8,3,6,2,1,5]=>[2,4,7,6,1,8,5,3]
[6,4,8,2,3,5,7,1]=>[4,2,5,1,6,8,7,3]
[4,6,8,2,5,7,1,3]=>[7,1,4,2,5,8,6,3]
[6,4,8,2,5,7,1,3]=>[2,7,4,1,5,8,6,3]
[6,2,4,5,8,3,7,1]=>[3,4,6,1,8,2,7,5]
[6,8,2,4,7,3,5,1]=>[4,6,1,8,3,7,5,2]
[8,4,6,2,7,1,3,5]=>[4,2,6,7,3,8,5,1]
[6,8,4,2,7,1,3,5]=>[4,6,3,1,7,8,5,2]
[6,8,2,4,1,7,3,5]=>[7,3,4,1,8,5,6,2]
[7,5,1,6,2,4,8,3]=>[6,8,5,3,2,4,1,7]
[4,2,5,7,1,6,8,3]=>[3,1,6,8,2,5,4,7]
[2,4,8,5,6,7,3,1]=>[4,5,8,2,7,1,6,3]
[4,5,2,3,8,7,1,6]=>[1,7,2,8,3,4,6,5]
[2,5,4,7,6,1,3,8]=>[3,2,6,7,1,5,4,8]
[5,2,3,7,6,1,4,8]=>[6,7,2,1,3,5,4,8]
[4,2,3,7,6,1,5,8]=>[6,1,7,2,3,5,4,8]
[4,2,7,3,5,1,6,8]=>[4,1,6,2,5,7,3,8]
[5,6,2,3,8,4,7,1]=>[6,1,8,3,2,4,7,5]
[5,6,2,3,1,7,8,4]=>[3,4,1,6,2,8,5,7]
[5,7,2,3,4,1,6,8]=>[3,4,1,6,5,7,2,8]
[6,2,7,3,5,1,4,8]=>[4,6,7,2,1,5,3,8]
[7,2,6,3,5,1,4,8]=>[4,6,7,2,5,3,1,8]
[6,5,2,3,1,7,8,4]=>[3,4,6,2,1,8,5,7]
[6,5,2,3,8,4,7,1]=>[6,8,3,2,1,4,7,5]
[7,5,2,1,4,6,8,3]=>[3,5,6,2,8,4,1,7]
[8,5,2,3,1,6,4,7]=>[3,4,7,5,2,6,8,1]
[8,6,2,3,1,5,4,7]=>[3,4,7,5,6,2,8,1]
[8,2,6,3,1,7,4,5]=>[4,7,8,2,5,3,6,1]
[1,6,3,4,2,7,5,8]=>[3,4,7,5,1,2,6,8]
[8,5,2,7,3,4,6,1]=>[5,6,2,8,3,7,4,1]
[1,7,2,4,5,6,8,3]=>[4,5,6,8,3,1,2,7]
[1,8,3,2,5,6,4,7]=>[3,5,7,4,6,8,1,2]
[7,2,8,1,4,6,3,5]=>[5,7,8,2,4,1,6,3]
[2,7,8,1,5,6,3,4]=>[7,5,8,4,1,2,6,3]
[6,8,2,3,1,5,4,7]=>[3,4,7,5,1,6,8,2]
[5,8,2,3,1,6,4,7]=>[3,4,1,7,5,6,8,2]
[5,7,2,1,4,6,8,3]=>[3,5,1,6,8,4,2,7]
[4,2,7,1,5,6,8,3]=>[5,1,6,8,2,4,3,7]
[4,2,3,8,1,7,5,6]=>[7,1,8,2,3,5,6,4]
[4,2,1,5,3,7,6,8]=>[2,4,1,7,3,5,6,8]
[5,1,3,8,4,6,7,2]=>[5,6,1,8,3,7,2,4]
[5,1,3,2,6,7,8,4]=>[3,5,6,1,8,2,4,7]
[5,1,3,4,2,7,6,8]=>[3,4,7,2,1,5,6,8]
[6,1,3,4,2,7,5,8]=>[3,4,7,2,5,1,6,8]
[7,2,1,3,5,8,4,6]=>[2,5,7,8,3,4,1,6]
[6,8,7,2,3,4,5,1]=>[4,5,1,6,8,7,3,2]
[3,7,2,8,1,4,5,6]=>[1,3,5,6,7,2,8,4]
[5,2,3,7,4,6,1,8]=>[5,7,2,1,3,6,4,8]
[2,5,3,7,4,6,1,8]=>[5,2,7,1,3,6,4,8]
[2,6,7,3,4,5,1,8]=>[4,5,2,7,1,6,3,8]
[6,2,7,3,4,5,1,8]=>[4,5,7,2,1,6,3,8]
[3,8,4,5,2,1,6,7]=>[3,6,1,5,4,7,8,2]
[2,7,6,3,4,5,1,8]=>[4,5,7,6,1,3,2,8]
[2,8,7,5,1,3,4,6]=>[5,6,7,4,8,1,3,2]
[4,5,7,2,8,3,6,1]=>[1,2,6,8,4,3,7,5]
[5,2,1,3,6,7,8,4]=>[2,5,6,1,8,3,4,7]
[1,6,5,7,2,8,3,4]=>[7,3,2,8,5,1,4,6]
[7,5,2,6,1,8,4,3]=>[8,7,3,2,5,4,1,6]
[6,1,5,2,7,8,4,3]=>[5,3,8,7,2,1,4,6]
[1,6,5,7,2,8,4,3]=>[3,2,8,7,5,1,4,6]
[1,5,4,6,2,8,7,3]=>[3,2,4,8,7,1,5,6]
[1,5,4,6,2,8,3,7]=>[3,2,7,4,8,1,5,6]
[1,5,6,4,8,2,3,7]=>[2,6,4,3,7,8,1,5]
[6,2,1,5,8,4,7,3]=>[4,6,8,2,1,7,3,5]
[7,5,6,8,4,1,3,2]=>[2,8,6,3,1,7,5,4]
[8,3,7,5,1,4,2,6]=>[7,2,5,6,4,8,3,1]
[8,1,5,7,3,6,2,4]=>[5,3,7,8,6,2,4,1]
[8,3,2,6,4,5,1,7]=>[2,5,7,3,6,4,8,1]
[8,5,3,7,4,1,2,6]=>[3,6,2,7,5,8,4,1]
[8,5,6,2,7,1,3,4]=>[4,6,2,7,3,8,5,1]
[8,4,7,2,6,5,1,3]=>[2,7,8,4,6,5,3,1]
[8,5,7,3,2,6,1,4]=>[5,4,2,7,8,6,3,1]
[8,1,2,3,6,4,7,5]=>[8,6,2,3,4,5,7,1]
[7,6,2,3,5,8,1,4]=>[7,3,4,5,2,1,8,6]
[4,5,3,7,8,1,6,2]=>[1,2,8,3,6,4,7,5]
[3,4,2,8,1,6,7,5]=>[1,2,6,8,3,5,7,4]
[8,3,4,1,5,7,6,2]=>[2,3,8,5,7,4,6,1]
[4,3,7,5,1,6,2,8]=>[1,7,2,5,4,6,3,8]
[5,2,6,1,4,3,7,8]=>[6,2,4,1,5,3,7,8]
[3,5,2,8,6,7,4,1]=>[2,5,8,1,7,3,6,4]
[5,3,7,4,2,8,6,1]=>[4,1,8,2,5,3,7,6]
[7,4,8,2,3,5,6,1]=>[4,2,5,6,1,8,7,3]
[5,6,2,8,7,1,4,3]=>[1,8,6,2,7,3,5,4]
[4,6,3,5,2,7,8,1]=>[1,3,5,4,2,6,8,7]
[4,1,6,3,5,7,2,8]=>[4,1,5,3,7,2,6,8]
[3,1,5,7,4,6,8,2]=>[1,3,5,6,4,8,2,7]
[7,2,5,8,6,1,4,3]=>[3,8,6,7,2,1,5,4]
[4,3,6,1,5,7,8,2]=>[2,1,5,6,3,8,4,7]
[3,5,4,1,2,6,7,8]=>[1,4,5,3,2,6,7,8]
[5,3,1,4,6,7,8,2]=>[4,2,5,1,6,8,3,7]
[4,6,7,1,3,5,8,2]=>[1,5,6,2,8,4,3,7]
[5,6,1,3,4,7,2,8]=>[4,5,1,7,3,2,6,8]
[2,5,3,7,8,4,6,1]=>[2,6,4,8,1,3,7,5]
[4,6,2,1,3,7,8,5]=>[3,1,6,8,4,2,5,7]
[3,6,2,4,1,7,5,8]=>[1,3,4,7,5,2,6,8]
[3,2,6,7,4,8,5,1]=>[3,8,1,5,2,4,7,6]
[7,1,3,8,4,5,2,6]=>[5,7,3,6,8,2,1,4]
[7,1,8,3,4,6,2,5]=>[4,5,7,8,6,2,1,3]
[6,3,2,7,5,8,4,1]=>[5,2,4,1,8,3,7,6]
[6,2,7,1,4,5,3,8]=>[5,7,2,4,1,6,3,8]
[4,2,6,1,5,7,3,8]=>[5,1,7,2,4,3,6,8]
[2,5,4,1,3,6,7,8]=>[4,5,1,3,2,6,7,8]
[5,4,1,2,6,7,3,8]=>[5,7,3,2,1,4,6,8]
[6,5,2,7,4,1,3,8]=>[6,7,3,2,1,5,4,8]
[6,5,7,3,1,4,2,8]=>[7,5,4,2,1,6,3,8]
[6,7,4,3,1,5,8,2]=>[6,4,3,1,8,5,2,7]
[3,1,6,7,8,4,5,2]=>[3,6,1,4,8,7,2,5]
[7,4,5,6,2,1,8,3]=>[2,5,3,8,6,4,1,7]
[6,4,5,2,7,1,8,3]=>[2,8,4,3,1,6,5,7]
[3,7,5,6,2,1,8,4]=>[5,3,8,1,6,4,2,7]
[1,7,6,3,8,4,5,2]=>[6,8,4,3,2,7,1,5]
[6,4,1,2,7,8,3,5]=>[7,5,2,8,3,1,4,6]
[6,4,1,3,5,2,7,8]=>[4,6,3,2,5,1,7,8]
[5,1,8,3,4,6,2,7]=>[4,5,1,7,6,8,2,3]
[4,5,8,2,3,7,1,6]=>[1,4,2,5,7,8,6,3]
[7,3,4,8,2,5,1,6]=>[2,3,5,7,6,1,8,4]
[6,8,1,5,4,2,3,7]=>[6,7,5,3,1,4,8,2]
[4,7,2,5,1,6,8,3]=>[1,6,3,4,8,5,2,7]
[6,5,4,7,2,8,3,1]=>[3,2,1,8,5,4,7,6]
[3,2,4,6,5,8,1,7]=>[1,5,2,3,4,7,8,6]
[3,5,4,8,7,1,6,2]=>[2,8,1,3,6,7,5,4]
[7,5,2,1,6,3,4,8]=>[3,6,7,4,2,5,1,8]
[6,3,1,7,4,2,5,8]=>[2,6,5,7,3,1,4,8]
[8,7,2,1,5,3,6,4]=>[8,3,6,4,5,7,2,1]
[6,8,5,3,7,4,2,1]=>[1,8,4,3,7,6,5,2]
[7,2,8,1,5,6,4,3]=>[5,8,7,2,4,1,6,3]
[8,3,6,4,1,5,7,2]=>[6,2,4,8,5,3,7,1]
[7,5,6,1,4,8,2,3]=>[7,5,2,8,4,3,1,6]
[5,7,2,6,3,8,4,1]=>[1,8,5,3,4,2,7,6]
[8,4,1,2,3,6,7,5]=>[6,8,3,2,4,5,7,1]
[5,6,4,2,1,8,3,7]=>[4,1,7,3,2,8,5,6]
[6,8,1,3,2,7,5,4]=>[8,4,7,3,1,5,6,2]
[5,7,3,6,4,1,2,8]=>[3,1,6,7,5,4,2,8]
[7,2,4,3,8,1,5,6]=>[4,2,3,6,7,1,8,5]
[2,5,4,6,1,3,8,7]=>[3,2,8,1,5,4,6,7]
[2,4,3,5,8,1,6,7]=>[3,1,2,4,6,7,8,5]
[5,8,2,6,7,4,3,1]=>[1,4,8,7,3,6,5,2]
[2,6,5,3,8,1,4,7]=>[4,6,3,1,2,7,8,5]
[6,1,2,4,3,5,7,8]=>[5,2,3,4,6,1,7,8]
[6,5,8,2,7,3,4,1]=>[6,2,1,8,4,7,5,3]
[1,7,6,8,4,3,2,5]=>[7,6,5,3,2,8,1,4]
[1,7,6,5,3,8,2,4]=>[5,7,4,3,2,8,1,6]
[4,6,1,3,7,8,5,2]=>[1,5,8,4,2,7,3,6]
[8,4,1,5,2,6,7,3]=>[6,4,2,8,3,5,7,1]
[1,5,6,3,8,7,2,4]=>[2,7,3,8,4,6,1,5]
[5,3,2,6,8,7,1,4]=>[2,4,1,7,8,3,6,5]
[6,3,5,2,7,1,4,8]=>[2,4,6,3,1,7,5,8]
[8,5,2,6,7,1,4,3]=>[8,6,3,2,4,7,5,1]
[5,3,8,7,1,4,2,6]=>[7,2,1,5,6,8,4,3]
[6,4,5,3,1,8,7,2]=>[2,4,3,1,8,7,5,6]
[8,5,1,2,3,6,7,4]=>[6,8,3,4,2,5,7,1]
[2,8,6,1,5,4,7,3]=>[6,5,8,4,1,3,7,2]
[8,3,2,6,1,5,7,4]=>[2,6,8,3,5,4,7,1]
[3,8,6,4,7,1,2,5]=>[6,4,7,1,3,8,5,2]
[1,8,7,5,4,3,2,6]=>[7,6,5,4,8,3,1,2]
[8,6,4,7,1,3,2,5]=>[7,5,3,6,2,8,4,1]
[3,1,4,7,6,2,5,8]=>[1,6,7,3,5,2,4,8]
[5,3,4,1,6,2,7,8]=>[2,6,4,3,1,5,7,8]
[2,7,1,4,6,3,5,8]=>[4,6,7,1,3,5,2,8]
[7,3,1,6,5,2,4,8]=>[2,6,7,5,3,4,1,8]
[7,1,5,2,4,6,3,8]=>[5,7,4,2,3,6,1,8]
[6,1,4,5,2,7,3,8]=>[3,7,5,2,4,1,6,8]
[6,1,5,8,2,7,4,3]=>[3,8,7,5,1,6,2,4]
[7,1,2,3,6,4,5,8]=>[6,7,2,3,4,5,1,8]
[6,3,1,8,5,4,7,2]=>[6,2,5,1,8,7,3,4]
[6,1,3,8,7,4,5,2]=>[6,8,7,3,1,5,2,4]
[2,8,4,6,5,1,7,3]=>[8,3,6,5,1,4,7,2]
[5,7,2,8,1,3,6,4]=>[8,3,1,5,6,2,7,4]
[5,4,1,2,6,3,8,7]=>[5,8,3,2,1,4,6,7]
[6,5,1,4,7,3,2,8]=>[4,7,6,3,2,1,5,8]
[2,7,8,4,1,3,6,5]=>[8,5,4,6,1,2,7,3]
[2,4,6,5,7,8,1,3]=>[4,2,3,7,1,5,8,6]
[2,4,6,7,5,8,1,3]=>[3,7,2,5,1,4,8,6]
[2,4,6,3,7,8,1,5]=>[7,2,4,1,3,5,8,6]
[2,4,5,6,8,7,1,3]=>[2,3,4,7,8,1,6,5]
[2,4,5,6,8,3,7,1]=>[2,3,4,6,8,1,7,5]
[2,4,5,6,3,8,1,7]=>[2,3,5,1,4,7,8,6]
[2,3,4,6,8,5,1,7]=>[4,7,1,2,3,6,8,5]
[5,2,8,3,4,1,6,7]=>[4,6,2,1,5,7,8,3]
[3,6,4,1,2,7,8,5]=>[6,1,3,8,4,2,5,7]
[4,1,7,3,8,6,2,5]=>[1,7,8,4,3,6,2,5]
[8,4,1,2,5,3,7,6]=>[5,8,3,2,4,6,7,1]
[1,5,2,7,6,8,4,3]=>[2,5,4,8,7,1,3,6]
[4,7,6,8,3,1,2,5]=>[6,7,1,5,3,2,8,4]
[4,8,2,7,6,5,1,3]=>[7,8,1,6,3,5,4,2]
[7,4,2,8,6,5,1,3]=>[2,7,8,6,3,1,5,4]
[8,6,5,2,7,1,4,3]=>[8,4,6,3,2,7,5,1]
[6,5,8,2,7,1,4,3]=>[8,4,2,1,6,7,5,3]
[7,5,8,2,1,6,4,3]=>[8,4,2,7,5,1,6,3]
[3,2,1,6,5,8,4,7]=>[1,5,2,4,7,8,3,6]
[2,6,4,8,5,7,3,1]=>[5,2,8,3,7,1,6,4]
[6,3,1,4,5,8,2,7]=>[4,2,5,7,1,8,3,6]
[3,4,8,5,2,1,7,6]=>[5,1,2,4,8,6,7,3]
[4,8,7,1,3,2,6,5]=>[1,5,8,4,6,7,3,2]
[5,8,7,4,6,1,3,2]=>[8,1,6,4,7,5,3,2]
[3,4,1,8,7,6,2,5]=>[7,8,1,2,6,5,3,4]
[1,3,5,6,8,7,2,4]=>[3,4,7,8,2,6,1,5]
[2,8,7,5,4,1,6,3]=>[8,6,5,4,7,1,3,2]
[8,1,5,7,4,2,6,3]=>[3,8,6,5,7,2,4,1]
[5,8,7,3,4,1,6,2]=>[1,4,8,6,5,7,3,2]
[4,6,1,3,2,8,5,7]=>[4,1,7,8,3,2,5,6]
[2,6,5,8,3,1,4,7]=>[6,5,3,1,2,7,8,4]
[6,7,8,2,4,5,3,1]=>[5,1,8,4,2,7,6,3]
[3,2,8,4,5,7,1,6]=>[1,4,5,7,8,2,6,3]
[6,1,8,2,4,5,3,7]=>[5,7,4,6,1,8,2,3]
[8,3,6,4,2,7,1,5]=>[5,2,4,7,3,8,6,1]
[1,3,8,4,7,6,2,5]=>[7,8,4,6,2,5,1,3]
[8,3,7,5,4,1,2,6]=>[6,7,2,5,4,8,3,1]
[2,6,4,7,8,5,1,3]=>[7,3,2,4,8,1,6,5]
[5,4,3,7,6,1,8,2]=>[2,1,8,3,6,5,4,7]
[8,6,3,7,1,4,2,5]=>[3,7,5,6,2,8,4,1]
[3,1,2,8,7,6,4,5]=>[7,8,1,6,5,2,3,4]
[8,5,4,1,2,3,7,6]=>[8,4,5,3,2,6,7,1]
[8,3,2,1,6,4,7,5]=>[2,8,3,6,4,5,7,1]
[2,3,8,4,1,7,5,6]=>[4,7,8,1,2,5,6,3]
[4,6,1,3,2,7,8,5]=>[4,1,6,8,3,2,5,7]
[6,7,2,5,8,4,1,3]=>[7,4,1,8,3,2,6,5]
[4,1,7,8,2,5,6,3]=>[1,6,8,5,3,7,2,4]
[3,4,6,7,1,5,8,2]=>[6,1,2,3,8,5,4,7]
[3,4,5,7,8,1,6,2]=>[8,1,2,3,6,4,7,5]
[1,8,7,4,3,5,2,6]=>[5,4,7,6,8,3,1,2]
[2,4,5,8,1,3,7,6]=>[2,3,8,1,5,6,7,4]
[2,7,8,6,5,3,1,4]=>[7,6,2,8,5,1,4,3]
[6,3,1,5,8,4,2,7]=>[2,4,7,6,1,8,3,5]
[2,8,3,5,6,1,4,7]=>[6,3,4,7,1,5,8,2]
[1,3,6,4,2,7,5,8]=>[4,7,2,5,1,3,6,8]
[2,3,7,5,8,1,4,6]=>[6,4,7,1,2,3,8,5]
[3,2,8,5,6,1,4,7]=>[6,1,4,7,2,5,8,3]
[7,2,5,8,1,4,6,3]=>[6,3,8,2,5,1,7,4]
[4,7,5,8,1,2,6,3]=>[8,1,5,3,6,2,7,4]
[4,7,5,8,1,2,3,6]=>[1,5,6,3,7,2,8,4]
[3,4,7,5,2,8,1,6]=>[5,1,2,4,7,3,8,6]
[4,3,2,5,7,8,1,6]=>[2,1,7,3,4,5,8,6]
[2,4,7,5,8,3,1,6]=>[4,7,2,6,1,3,8,5]
[2,5,4,7,3,8,1,6]=>[3,2,5,7,1,4,8,6]
[3,7,8,4,2,1,6,5]=>[5,4,8,1,6,2,7,3]
[8,5,4,7,6,3,1,2]=>[3,2,7,8,6,5,4,1]
[1,5,4,8,7,6,2,3]=>[2,7,8,3,6,5,1,4]
[3,2,4,5,8,1,6,7]=>[2,1,3,4,6,7,8,5]
[3,6,8,4,2,7,1,5]=>[5,4,1,2,7,8,6,3]
[4,8,3,7,6,2,1,5]=>[7,1,3,6,8,5,4,2]
[1,4,7,6,3,8,2,5]=>[5,7,2,4,3,8,1,6]
[3,6,5,1,7,2,8,4]=>[8,6,1,4,3,2,5,7]
[7,4,1,6,2,8,5,3]=>[2,8,7,5,3,4,1,6]
[1,3,6,8,2,4,7,5]=>[8,5,2,3,6,7,1,4]
[1,6,7,4,3,8,2,5]=>[5,4,2,7,3,8,1,6]
[7,3,1,6,5,2,8,4]=>[8,2,6,5,3,4,1,7]
[8,5,4,1,6,2,7,3]=>[8,6,4,3,2,5,7,1]
[4,7,2,8,5,1,6,3]=>[8,1,6,3,5,2,7,4]
[7,8,6,2,1,5,4,3]=>[8,4,7,5,1,6,3,2]
[8,6,2,7,3,5,1,4]=>[5,7,8,3,2,6,4,1]
[2,1,3,8,7,5,6,4]=>[6,8,7,1,5,2,3,4]
[8,1,7,3,6,5,2,4]=>[7,8,4,6,5,2,3,1]
[1,6,4,7,3,8,5,2]=>[8,3,2,5,4,7,1,6]
[4,8,1,6,3,7,2,5]=>[1,5,7,4,8,3,6,2]
[8,5,4,1,6,3,7,2]=>[6,5,3,2,8,4,7,1]
[1,7,6,2,4,8,5,3]=>[8,5,7,4,3,1,2,6]
[5,7,3,2,4,8,6,1]=>[3,1,8,4,5,2,7,6]
[2,6,8,5,4,3,1,7]=>[2,7,6,5,1,4,8,3]
[2,8,4,6,3,5,1,7]=>[3,5,7,6,1,4,8,2]
[2,7,8,3,6,4,5,1]=>[6,8,4,2,7,1,5,3]
[3,8,1,4,6,5,2,7]=>[7,1,4,6,3,5,8,2]
[2,7,5,4,1,8,3,6]=>[7,4,3,8,1,5,2,6]
[4,6,1,8,5,3,2,7]=>[7,1,6,5,2,8,3,4]
[3,8,5,2,1,6,4,7]=>[4,7,1,5,3,6,8,2]
[5,1,4,8,2,6,3,7]=>[3,7,5,1,6,8,2,4]
[4,5,8,1,3,7,6,2]=>[1,2,8,5,7,4,6,3]
[8,6,7,1,4,3,2,5]=>[7,6,4,5,2,8,3,1]
[1,4,7,8,6,3,5,2]=>[6,3,8,2,7,5,1,4]
[8,5,2,6,3,4,7,1]=>[5,6,3,2,4,8,7,1]
[8,3,6,1,2,7,4,5]=>[2,7,8,4,5,3,6,1]
[3,8,6,1,2,5,7,4]=>[6,8,1,4,5,3,7,2]
[3,7,6,2,1,8,5,4]=>[8,4,7,1,5,3,2,6]
[4,3,7,6,1,8,5,2]=>[8,1,7,2,5,4,3,6]
[8,6,3,2,7,1,5,4]=>[3,8,4,6,2,7,5,1]
[6,8,1,5,4,7,2,3]=>[7,5,4,1,8,3,6,2]
[6,7,2,5,4,8,1,3]=>[7,5,3,1,4,2,8,6]
[7,6,2,4,8,5,1,3]=>[4,7,8,3,2,1,6,5]
[4,6,8,7,3,1,2,5]=>[6,1,2,7,5,8,4,3]
[4,7,5,2,6,3,8,1]=>[6,1,4,3,5,2,8,7]
[3,5,6,2,8,1,4,7]=>[4,1,2,6,3,7,8,5]
[5,1,2,4,3,7,6,8]=>[4,7,2,3,1,5,6,8]
[6,1,8,2,4,3,5,7]=>[6,4,5,7,1,8,2,3]
[1,6,8,2,5,3,4,7]=>[6,7,4,2,5,8,1,3]
[8,5,2,7,3,6,4,1]=>[8,5,2,7,3,6,4,1]
[8,7,6,2,4,5,1,3]=>[7,4,5,8,6,3,2,1]
[8,7,6,2,4,5,3,1]=>[5,8,4,7,6,3,2,1]
[5,4,8,7,1,2,6,3]=>[2,1,8,5,6,7,4,3]
[2,5,6,4,3,8,1,7]=>[2,5,4,1,3,7,8,6]
[8,7,3,5,1,4,6,2]=>[3,6,8,5,4,7,2,1]
[8,6,3,5,2,1,4,7]=>[3,6,5,7,4,2,8,1]
[8,7,3,5,2,4,6,1]=>[3,5,6,4,8,7,2,1]
[8,4,2,7,6,5,1,3]=>[2,7,8,6,3,5,4,1]
[4,6,3,8,5,2,7,1]=>[6,1,3,2,5,8,7,4]
[8,7,1,4,5,6,2,3]=>[4,7,5,8,3,6,2,1]
[4,1,3,8,5,6,2,7]=>[5,1,7,3,6,8,2,4]
[5,2,8,3,1,6,7,4]=>[4,6,1,8,2,5,7,3]
[1,7,8,6,3,2,5,4]=>[5,8,6,2,7,4,1,3]
[3,7,2,4,5,6,1,8]=>[1,3,4,5,7,6,2,8]
[3,2,8,1,5,7,4,6]=>[1,5,7,8,2,4,6,3]
[3,4,6,7,2,1,5,8]=>[6,1,2,5,3,7,4,8]
[2,6,7,1,4,3,8,5]=>[5,8,4,1,2,6,3,7]
[5,7,6,2,1,8,3,4]=>[4,1,7,8,5,3,2,6]
[4,2,5,3,8,6,7,1]=>[3,1,6,8,2,4,7,5]
[3,2,7,4,8,5,6,1]=>[6,8,1,4,2,3,7,5]
[7,2,5,1,6,3,8,4]=>[8,6,2,4,3,5,1,7]
[6,3,8,5,4,2,7,1]=>[6,5,2,1,4,8,7,3]
[7,4,6,1,3,5,2,8]=>[5,2,7,4,6,3,1,8]
[1,5,3,8,7,4,6,2]=>[2,6,8,7,3,5,1,4]
[5,1,3,8,7,4,6,2]=>[6,1,8,7,3,5,2,4]
[2,5,3,8,7,4,1,6]=>[2,7,6,8,1,3,5,4]
[6,8,3,5,1,2,7,4]=>[3,8,5,1,6,4,7,2]
[5,8,2,7,4,6,3,1]=>[1,5,8,7,3,6,4,2]
[4,5,2,8,3,7,1,6]=>[1,5,2,7,8,3,6,4]
[7,8,5,1,6,4,3,2]=>[8,7,6,4,3,1,5,2]
[8,7,5,1,6,4,3,2]=>[8,7,6,4,3,5,2,1]
[4,5,8,3,1,2,7,6]=>[1,2,8,5,4,6,7,3]
[4,6,8,3,2,1,7,5]=>[5,1,4,2,8,6,7,3]
[4,6,8,3,5,1,2,7]=>[6,1,4,2,7,5,8,3]
[1,4,6,3,7,5,2,8]=>[7,2,4,3,6,1,5,8]
[4,5,2,6,8,7,3,1]=>[1,2,8,4,7,3,6,5]
[1,7,6,3,8,5,2,4]=>[7,8,4,3,2,6,1,5]
[1,3,8,7,4,5,6,2]=>[5,6,8,7,2,4,1,3]
[7,3,1,8,4,5,6,2]=>[2,5,6,8,7,3,1,4]
[3,2,8,7,4,5,6,1]=>[5,6,8,1,7,2,4,3]
[6,2,4,3,7,5,8,1]=>[3,6,2,4,1,5,8,7]
[6,4,2,5,1,7,8,3]=>[6,3,2,4,1,8,5,7]
[3,8,2,1,5,7,6,4]=>[8,1,3,5,7,4,6,2]
[1,3,2,8,7,4,6,5]=>[8,6,7,2,5,1,3,4]
[5,4,2,7,3,8,6,1]=>[2,1,8,5,3,4,7,6]
[4,6,3,7,8,1,2,5]=>[1,3,6,2,7,4,8,5]
[8,3,5,4,7,1,2,6]=>[6,2,4,3,7,8,5,1]
[6,2,5,4,1,7,8,3]=>[6,4,2,3,1,8,5,7]
[4,1,5,6,3,8,7,2]=>[3,1,4,8,5,7,2,6]
[8,5,1,6,3,2,4,7]=>[6,5,7,3,2,4,8,1]
[6,8,7,4,3,2,5,1]=>[1,6,5,4,8,7,3,2]
[8,1,5,4,6,7,3,2]=>[4,3,5,8,7,2,6,1]
[2,8,5,1,3,7,6,4]=>[8,7,4,1,3,5,6,2]
[2,4,5,8,3,7,6,1]=>[8,2,3,5,7,1,6,4]
[5,6,4,1,8,2,7,3]=>[1,8,6,3,2,7,4,5]
[6,4,5,1,3,8,7,2]=>[2,8,5,3,1,7,4,6]
[6,1,3,5,4,8,2,7]=>[5,3,4,7,1,8,2,6]
[1,3,8,7,2,5,6,4]=>[6,8,5,7,2,4,1,3]
[2,5,4,1,8,3,7,6]=>[3,2,8,1,6,7,4,5]
[5,1,4,8,3,7,6,2]=>[8,3,1,5,7,6,2,4]
[8,4,1,2,7,6,5,3]=>[2,8,7,6,3,4,5,1]
[4,8,3,2,7,6,5,1]=>[8,1,3,7,4,6,5,2]
[1,8,7,3,4,6,5,2]=>[8,4,5,7,6,3,1,2]
[5,3,1,2,4,6,8,7]=>[8,3,2,4,1,5,6,7]
[8,5,7,3,1,2,4,6]=>[5,6,4,2,7,8,3,1]
[3,1,2,8,7,5,4,6]=>[7,1,6,8,5,2,3,4]
[1,4,3,8,5,7,2,6]=>[2,5,7,8,3,6,1,4]
[6,7,1,5,2,8,4,3]=>[8,7,5,3,1,4,2,6]
[1,5,3,7,6,4,8,2]=>[2,6,5,3,4,8,1,7]
[4,8,1,3,6,2,7,5]=>[1,8,4,6,3,5,7,2]
[2,7,3,4,8,6,5,1]=>[8,7,3,4,1,2,6,5]
[1,8,2,4,7,3,6,5]=>[8,4,6,7,3,5,1,2]
[2,7,1,6,5,8,3,4]=>[7,5,4,8,1,3,2,6]
[6,2,3,8,1,5,7,4]=>[6,8,2,3,1,5,7,4]
[2,5,7,4,8,3,6,1]=>[2,4,6,3,8,1,7,5]
[8,5,6,2,4,7,1,3]=>[7,4,2,5,3,8,6,1]
[4,8,5,6,7,1,3,2]=>[3,8,1,6,4,7,5,2]
[8,1,5,7,3,6,4,2]=>[3,8,5,7,6,2,4,1]
[4,3,7,1,2,8,5,6]=>[2,1,7,8,4,5,3,6]
[2,7,6,4,3,8,5,1]=>[4,8,5,3,1,2,7,6]
[3,8,6,2,7,5,4,1]=>[8,7,4,1,3,6,5,2]
[4,8,1,6,2,5,3,7]=>[1,7,5,6,3,4,8,2]
[1,8,4,2,5,7,3,6]=>[5,3,7,8,4,6,1,2]
[5,8,3,1,2,4,6,7]=>[4,5,3,1,6,7,8,2]
[1,4,8,5,2,3,6,7]=>[2,5,6,4,7,8,1,3]
[1,4,8,5,2,3,7,6]=>[8,2,5,4,6,7,1,3]
[7,1,4,2,6,8,3,5]=>[3,7,5,8,2,4,1,6]
[1,5,8,7,2,4,3,6]=>[2,7,5,6,8,4,1,3]
[1,5,4,2,8,3,7,6]=>[3,2,8,6,7,1,4,5]
[1,2,8,7,3,5,4,6]=>[7,5,6,8,4,1,2,3]
[8,7,1,3,2,5,4,6]=>[4,7,3,5,6,8,2,1]
[6,7,4,2,8,1,3,5]=>[4,6,3,1,7,2,8,5]
[4,1,6,8,7,2,3,5]=>[1,6,3,7,8,5,2,4]
[4,7,5,6,2,8,3,1]=>[3,8,1,5,4,2,7,6]
[8,4,3,6,7,5,2,1]=>[2,4,8,3,7,6,5,1]
[6,7,5,2,8,4,3,1]=>[1,8,7,4,3,2,6,5]
[6,8,4,3,2,7,5,1]=>[4,3,1,8,5,7,6,2]
[1,3,7,6,4,8,2,5]=>[5,7,4,2,3,8,1,6]
[2,6,4,8,7,3,1,5]=>[7,3,2,6,8,1,5,4]
[2,1,8,7,3,5,4,6]=>[7,5,6,8,1,4,2,3]
[6,1,5,8,7,4,3,2]=>[8,3,1,7,6,5,2,4]
[6,1,8,5,7,4,3,2]=>[4,1,8,7,6,5,2,3]
[8,5,1,4,7,6,3,2]=>[8,4,2,7,6,3,5,1]
[8,1,3,7,2,4,6,5]=>[8,3,5,6,7,2,4,1]
[2,6,7,3,5,8,4,1]=>[5,2,8,4,1,3,7,6]
[2,6,7,3,5,8,1,4]=>[7,4,2,5,1,3,8,6]
[5,3,1,6,4,8,2,7]=>[2,5,4,1,7,8,3,6]
[2,5,6,7,1,4,8,3]=>[2,6,3,8,1,5,4,7]
[4,7,5,3,2,8,1,6]=>[5,1,4,3,7,2,8,6]
[4,7,5,2,8,6,1,3]=>[7,1,3,8,4,2,6,5]
[3,8,6,7,2,5,4,1]=>[8,5,3,7,1,6,4,2]
[5,8,1,2,7,4,3,6]=>[7,6,1,8,3,4,5,2]
[6,3,1,8,2,4,5,7]=>[5,2,6,7,1,8,3,4]
[6,3,1,8,4,5,2,7]=>[2,5,7,6,1,8,3,4]
[2,1,4,7,5,8,6,3]=>[8,5,1,3,4,7,2,6]
[7,6,2,4,8,3,1,5]=>[4,7,3,6,2,1,8,5]
[6,5,8,1,4,3,7,2]=>[6,5,2,1,8,4,7,3]
[8,1,4,2,7,5,6,3]=>[3,6,8,7,2,4,5,1]
[8,6,3,5,2,1,7,4]=>[3,5,8,6,4,2,7,1]
[6,8,3,1,2,5,4,7]=>[7,4,3,5,1,6,8,2]
[5,8,6,4,7,1,2,3]=>[1,6,7,4,3,8,5,2]
[2,5,1,8,7,3,4,6]=>[6,2,7,8,1,5,3,4]
[7,2,4,3,8,6,1,5]=>[3,7,8,2,4,1,6,5]
[6,8,4,3,5,1,7,2]=>[4,3,1,8,6,5,7,2]
[1,4,7,3,6,8,2,5]=>[7,2,4,5,3,8,1,6]
[3,7,1,4,6,8,2,5]=>[7,1,4,5,8,3,2,6]
[2,4,7,3,6,8,1,5]=>[7,2,4,5,1,3,8,6]
[8,5,7,6,1,3,2,4]=>[7,5,2,6,8,4,3,1]
[2,7,5,6,1,8,4,3]=>[3,8,7,5,1,4,2,6]
[1,2,6,7,4,5,8,3]=>[5,3,6,4,8,1,2,7]
[6,5,2,8,7,1,4,3]=>[8,6,2,1,7,3,5,4]
[7,2,3,6,8,1,4,5]=>[6,7,2,3,4,1,8,5]
[5,8,1,4,2,7,3,6]=>[7,4,1,8,3,5,6,2]
[2,3,1,6,8,7,4,5]=>[4,7,8,1,2,6,3,5]
[6,4,8,2,1,7,3,5]=>[4,2,7,1,8,5,6,3]
[2,3,1,8,7,5,6,4]=>[6,8,7,1,2,5,3,4]
[1,5,6,7,2,4,3,8]=>[2,7,5,3,6,1,4,8]
[6,8,3,7,1,2,5,4]=>[3,8,5,1,6,7,4,2]
[2,8,6,4,1,5,3,7]=>[7,5,4,6,1,3,8,2]
[1,5,7,3,6,2,4,8]=>[4,2,6,7,5,1,3,8]
[6,7,4,5,1,3,8,2]=>[6,3,1,8,5,4,2,7]
[1,6,5,3,8,2,4,7]=>[4,6,3,2,7,8,1,5]
[5,6,1,2,4,8,3,7]=>[5,7,1,8,3,2,4,6]
[8,7,4,5,1,3,2,6]=>[7,5,3,6,4,8,2,1]
[8,5,1,2,7,4,3,6]=>[7,6,8,3,2,4,5,1]
[4,1,8,7,2,5,3,6]=>[1,7,5,6,8,4,2,3]
[2,6,3,8,4,1,7,5]=>[5,8,3,1,2,6,7,4]
[3,2,4,6,1,8,7,5]=>[1,4,8,2,3,7,5,6]
[3,6,7,4,1,2,5,8]=>[5,6,1,4,2,7,3,8]
[1,4,7,5,8,2,3,6]=>[6,2,4,7,3,8,1,5]
[1,6,8,4,7,3,2,5]=>[4,2,7,6,8,5,1,3]
[3,6,7,5,4,8,1,2]=>[2,7,5,1,4,3,8,6]
[4,5,7,2,6,3,8,1]=>[1,2,6,4,5,3,8,7]
[2,3,5,7,8,1,6,4]=>[8,3,6,1,2,4,7,5]
[1,5,7,4,2,3,6,8]=>[5,2,6,4,7,1,3,8]
[2,4,7,5,3,6,8,1]=>[5,2,4,6,1,3,8,7]
[8,1,7,2,4,6,3,5]=>[5,7,8,4,6,2,3,1]
[1,2,4,7,8,6,3,5]=>[7,4,8,3,6,1,2,5]
[2,4,7,8,3,5,1,6]=>[5,7,2,6,1,3,8,4]
[1,3,6,2,5,8,4,7]=>[5,7,2,3,8,1,4,6]
[1,5,3,6,8,2,4,7]=>[6,3,2,4,7,8,1,5]
[4,8,1,2,6,3,7,5]=>[1,8,6,3,4,5,7,2]
[5,8,1,2,6,3,7,4]=>[8,6,3,1,4,5,7,2]
[1,6,2,3,7,5,8,4]=>[6,5,8,3,1,2,4,7]
[4,1,2,6,5,7,8,3]=>[5,4,1,6,8,2,3,7]
[1,8,4,2,7,3,6,5]=>[3,8,6,7,4,5,1,2]
[1,7,5,2,3,8,6,4]=>[8,7,4,3,5,1,2,6]
[8,1,4,7,3,5,2,6]=>[3,5,7,6,8,2,4,1]
[8,4,3,6,1,7,2,5]=>[3,2,7,8,5,4,6,1]
[2,6,1,8,3,7,4,5]=>[7,8,5,1,2,6,3,4]
[8,4,2,1,3,7,5,6]=>[3,7,2,8,4,5,6,1]
[2,5,1,7,6,8,3,4]=>[2,7,5,1,4,8,3,6]
[5,3,1,8,2,4,7,6]=>[2,8,5,1,6,7,3,4]
[1,2,6,3,7,5,8,4]=>[6,5,3,8,1,2,4,7]
[5,1,8,3,2,4,7,6]=>[4,8,5,1,6,7,2,3]
[3,1,5,4,6,7,8,2]=>[1,4,3,5,6,8,2,7]
[2,8,5,7,3,1,4,6]=>[6,5,3,7,8,1,4,2]
[2,6,8,7,3,1,4,5]=>[6,5,2,7,8,1,4,3]
[7,4,2,1,3,8,5,6]=>[3,7,2,8,4,5,1,6]
[7,2,1,3,8,5,4,6]=>[7,2,6,8,3,4,1,5]
[2,1,7,3,8,6,4,5]=>[7,8,6,1,4,2,3,5]
[1,7,5,3,2,4,8,6]=>[4,8,5,3,6,1,2,7]
[1,4,2,7,6,5,8,3]=>[6,2,5,4,8,1,3,7]
[3,4,1,6,5,7,8,2]=>[1,2,5,4,6,8,3,7]
[2,8,7,3,4,1,5,6]=>[4,6,5,7,8,1,3,2]
[5,7,6,2,3,8,1,4]=>[4,1,5,7,3,2,8,6]
[4,5,7,6,2,8,1,3]=>[1,2,5,7,4,3,8,6]
[3,1,8,7,5,2,6,4]=>[8,6,1,5,7,4,2,3]
[4,5,6,8,7,2,1,3]=>[1,2,3,7,6,8,5,4]
[2,8,3,1,5,4,7,6]=>[3,5,8,1,4,6,7,2]
[3,8,4,1,5,2,7,6]=>[5,1,3,8,4,6,7,2]
[5,1,7,8,3,2,6,4]=>[5,1,8,6,3,7,2,4]
[1,8,6,2,4,3,7,5]=>[5,8,4,6,3,7,1,2]
[4,8,3,1,6,2,7,5]=>[1,3,8,6,4,5,7,2]
[2,8,3,1,6,4,7,5]=>[8,3,6,1,4,5,7,2]
[4,8,5,1,3,2,6,7]=>[1,6,4,5,3,7,8,2]
[5,4,3,1,2,7,6,8]=>[7,4,3,2,1,5,6,8]
[4,1,6,5,2,3,7,8]=>[5,1,6,4,2,3,7,8]
[7,1,5,2,3,6,4,8]=>[7,4,5,2,3,6,1,8]
[4,1,6,3,7,2,5,8]=>[4,1,6,3,7,2,5,8]
[4,6,1,2,8,3,7,5]=>[1,8,6,7,3,2,4,5]
[4,1,3,6,7,2,5,8]=>[6,3,1,4,7,2,5,8]
[2,6,5,1,3,4,7,8]=>[4,5,6,1,3,2,7,8]
[2,6,7,4,3,1,5,8]=>[6,5,4,1,2,7,3,8]
[2,6,3,1,7,4,5,8]=>[3,6,7,1,4,2,5,8]
[6,5,3,7,2,4,1,8]=>[3,5,2,1,7,6,4,8]
[2,3,6,7,1,5,4,8]=>[7,5,1,2,3,6,4,8]
[2,7,5,8,1,3,6,4]=>[8,5,3,6,1,2,7,4]
[5,1,6,7,3,2,4,8]=>[6,5,3,1,7,2,4,8]
[5,6,1,4,7,2,3,8]=>[6,4,1,7,3,2,5,8]
[1,2,5,7,8,6,3,4]=>[7,3,4,8,6,1,2,5]
[1,2,6,7,4,5,3,8]=>[5,3,7,6,1,2,4,8]
[1,2,7,8,4,6,3,5]=>[5,7,3,8,6,1,2,4]
[8,6,5,2,1,7,4,3]=>[8,4,7,5,3,2,6,1]
[4,3,8,6,7,1,5,2]=>[8,1,6,2,4,7,5,3]
[8,3,2,4,7,1,6,5]=>[2,8,3,4,6,7,5,1]
[7,3,2,8,6,1,5,4]=>[8,2,6,7,3,1,5,4]
[7,5,8,2,6,1,4,3]=>[8,4,2,6,1,7,5,3]
[5,6,8,2,7,4,1,3]=>[1,7,2,8,4,6,5,3]
[7,4,1,2,6,5,8,3]=>[6,5,2,8,3,4,1,7]
[5,2,7,4,6,1,8,3]=>[4,1,8,6,2,5,3,7]
[7,4,1,2,3,6,8,5]=>[6,8,3,2,4,5,1,7]
[5,4,8,6,3,2,1,7]=>[1,7,2,6,5,4,8,3]
[8,4,6,7,3,1,5,2]=>[8,2,6,5,3,7,4,1]
[4,6,8,5,1,2,7,3]=>[8,1,5,2,6,4,7,3]
[4,1,3,6,8,5,2,7]=>[4,1,7,3,6,8,2,5]
[6,3,5,7,1,2,8,4]=>[8,2,5,3,1,6,4,7]
[1,8,5,3,2,4,6,7]=>[5,4,6,3,7,8,1,2]
[1,6,7,3,4,2,5,8]=>[4,6,5,2,7,1,3,8]
[1,6,8,3,4,2,5,7]=>[4,6,5,2,7,8,1,3]
[1,8,7,5,3,4,2,6]=>[5,7,6,4,8,3,1,2]
[1,7,8,5,3,4,2,6]=>[5,7,6,4,2,8,1,3]
[1,7,6,8,4,2,3,5]=>[6,7,5,3,2,8,1,4]
[1,7,8,6,4,3,2,5]=>[7,6,5,2,8,4,1,3]
[5,1,7,8,4,2,3,6]=>[6,1,7,5,3,8,2,4]
[3,8,2,1,6,7,5,4]=>[5,8,1,3,7,4,6,2]
[2,8,3,1,7,5,6,4]=>[6,8,3,7,1,4,5,2]
[8,5,6,2,1,4,7,3]=>[4,6,2,8,5,3,7,1]
[2,1,6,4,7,8,3,5]=>[7,4,1,3,5,8,2,6]
[5,7,8,3,4,2,1,6]=>[1,4,7,6,5,2,8,3]
[4,7,5,3,8,2,6,1]=>[4,1,3,6,2,8,7,5]
[2,6,4,7,8,5,3,1]=>[4,2,8,3,7,1,6,5]
[7,8,4,5,6,1,3,2]=>[3,8,6,4,1,7,5,2]
[2,5,1,8,4,6,7,3]=>[5,2,6,8,1,7,3,4]
[5,2,8,4,6,7,1,3]=>[4,1,7,5,8,2,6,3]
[6,5,8,3,4,2,1,7]=>[4,2,1,7,6,5,8,3]
[1,3,5,8,4,6,7,2]=>[3,5,6,8,2,7,1,4]
[3,4,5,8,2,1,6,7]=>[1,2,3,6,5,7,8,4]
[8,2,7,6,3,4,5,1]=>[5,6,8,7,2,4,3,1]
[6,8,7,3,2,1,4,5]=>[6,5,4,1,7,8,3,2]
[3,4,8,2,7,1,5,6]=>[1,2,4,6,7,8,5,3]
[7,2,6,1,4,8,3,5]=>[5,7,8,2,4,3,1,6]
[7,8,1,2,4,6,3,5]=>[5,7,8,3,4,1,6,2]
[7,2,8,3,4,5,1,6]=>[4,5,7,2,6,1,8,3]
[6,1,8,3,4,2,5,7]=>[4,6,5,7,1,8,2,3]
[7,5,1,2,4,3,8,6]=>[5,8,3,4,2,6,1,7]
[7,6,8,1,4,2,3,5]=>[6,7,4,5,2,1,8,3]
[2,4,3,7,8,5,6,1]=>[6,2,4,8,1,3,7,5]
[2,1,7,6,3,4,5,8]=>[5,6,7,1,4,2,3,8]
[6,3,5,2,1,8,4,7]=>[2,4,7,3,1,8,5,6]
[6,1,5,3,8,2,4,7]=>[4,6,3,7,1,8,2,5]
[2,3,6,8,5,1,7,4]=>[3,8,6,1,2,5,7,4]
[3,2,4,8,6,1,7,5]=>[8,1,6,2,3,5,7,4]
[2,1,3,8,4,5,7,6]=>[8,1,5,6,7,2,3,4]
[3,1,2,8,5,4,7,6]=>[1,5,8,6,7,2,3,4]
[2,1,3,7,8,4,6,5]=>[8,6,1,4,7,2,3,5]
[2,1,3,8,4,7,6,5]=>[8,7,1,5,6,2,3,4]
[3,1,2,8,4,5,7,6]=>[1,8,5,6,7,2,3,4]
[1,2,8,7,5,4,6,3]=>[6,5,8,7,4,1,2,3]
[4,6,7,2,3,8,1,5]=>[1,4,5,2,7,3,8,6]
[3,2,6,5,7,8,1,4]=>[4,1,3,7,2,5,8,6]
[3,2,7,5,6,8,1,4]=>[4,7,1,5,2,3,8,6]
[2,1,8,7,4,6,5,3]=>[8,5,7,6,1,4,2,3]
[6,1,5,8,4,7,3,2]=>[3,5,1,8,7,6,2,4]
[1,4,6,8,5,7,2,3]=>[3,7,2,5,8,6,1,4]
[2,8,5,1,6,4,3,7]=>[7,6,4,1,3,5,8,2]
[2,4,7,1,8,3,6,5]=>[8,2,6,7,1,4,3,5]
[6,1,5,4,2,3,8,7]=>[8,5,4,2,3,1,6,7]
[6,4,5,1,2,8,3,7]=>[7,2,8,4,3,1,5,6]
[8,4,1,5,7,6,3,2]=>[2,8,4,7,6,3,5,1]
[8,1,6,3,5,2,4,7]=>[4,6,7,5,2,3,8,1]
[4,6,2,5,3,8,1,7]=>[1,5,3,4,2,7,8,6]
[4,6,5,2,1,8,3,7]=>[1,4,7,3,2,8,5,6]
[5,8,4,3,6,7,2,1]=>[1,4,3,5,8,7,6,2]
[6,8,2,1,5,3,4,7]=>[3,6,7,4,1,5,8,2]
[2,5,3,8,6,7,4,1]=>[2,5,8,7,1,3,6,4]
[3,2,6,5,1,8,4,7]=>[7,1,4,2,3,8,5,6]
[7,4,5,8,1,6,2,3]=>[2,7,3,8,5,1,6,4]
[4,5,8,1,6,7,3,2]=>[1,2,5,8,7,4,6,3]
[5,1,8,4,6,7,3,2]=>[4,1,5,8,7,6,2,3]
[6,5,3,8,1,7,2,4]=>[3,7,2,1,8,5,6,4]
[8,3,7,1,6,2,4,5]=>[2,6,7,8,4,5,3,1]
[8,1,4,6,5,7,2,3]=>[7,3,5,4,8,2,6,1]
[8,1,7,5,6,4,2,3]=>[7,4,8,6,5,2,3,1]
[8,6,1,5,3,7,2,4]=>[5,7,4,8,3,2,6,1]
[7,2,3,6,8,1,5,4]=>[8,6,2,3,4,1,7,5]
[2,6,3,7,8,1,4,5]=>[6,7,3,1,2,4,8,5]
[6,3,8,7,2,1,5,4]=>[5,8,2,1,6,7,4,3]
[7,2,5,6,3,4,8,1]=>[5,3,6,2,4,1,8,7]
[7,2,8,6,3,1,5,4]=>[5,8,6,7,2,1,4,3]
[7,2,4,5,8,6,3,1]=>[8,3,4,7,2,1,6,5]
[6,3,8,4,7,2,5,1]=>[4,6,1,8,2,7,5,3]
[7,2,3,6,8,5,4,1]=>[4,8,7,2,3,1,6,5]
[7,2,8,5,4,1,3,6]=>[6,7,5,2,4,1,8,3]
[7,4,5,2,8,1,6,3]=>[2,8,4,3,6,1,7,5]
[7,5,4,2,8,1,6,3]=>[8,4,3,2,6,1,7,5]
[7,6,3,2,8,4,5,1]=>[3,6,8,4,2,1,7,5]
[7,2,3,6,8,4,5,1]=>[6,4,8,2,3,1,7,5]
[7,2,5,4,8,3,6,1]=>[4,3,6,8,2,1,7,5]
[7,2,8,3,6,1,4,5]=>[4,6,7,8,2,1,5,3]
[7,4,5,2,8,3,6,1]=>[2,6,3,8,4,1,7,5]
[3,1,6,7,4,5,2,8]=>[5,1,3,7,6,2,4,8]
[3,1,5,4,7,6,2,8]=>[1,3,7,4,6,2,5,8]
[7,3,6,8,2,4,5,1]=>[5,6,2,3,1,8,7,4]
[5,1,3,2,4,6,8,7]=>[3,8,2,4,1,5,6,7]
[8,4,2,5,1,7,3,6]=>[7,3,2,4,8,5,6,1]
[6,4,2,5,7,3,8,1]=>[4,2,6,3,1,5,8,7]
[5,7,8,4,2,3,6,1]=>[1,5,6,4,2,8,7,3]
[6,4,5,2,8,3,7,1]=>[2,6,3,1,8,4,7,5]
[6,5,2,4,3,8,7,1]=>[4,8,3,2,1,5,7,6]
[6,5,3,4,1,8,2,7]=>[3,7,4,2,1,8,5,6]
[6,4,5,3,8,1,2,7]=>[2,6,4,3,1,7,8,5]
[5,6,4,8,3,1,2,7]=>[1,6,3,2,7,5,8,4]
[7,2,4,6,3,8,5,1]=>[8,3,5,2,4,1,7,6]
[2,8,3,7,6,1,5,4]=>[8,6,7,3,5,1,4,2]
[4,6,5,3,8,1,7,2]=>[4,1,3,2,8,6,7,5]
[2,4,8,7,6,1,5,3]=>[8,6,7,2,5,1,4,3]
[3,2,8,7,4,6,5,1]=>[8,5,7,1,6,2,4,3]
[8,2,6,5,1,4,3,7]=>[7,5,6,2,4,3,8,1]
[4,8,5,2,7,6,3,1]=>[3,8,1,7,4,6,5,2]
[2,8,6,5,7,1,3,4]=>[6,7,4,3,8,1,5,2]
[3,8,4,7,2,1,6,5]=>[3,5,8,1,6,7,4,2]
[4,8,5,1,7,6,3,2]=>[3,8,1,7,6,4,5,2]
[5,8,1,7,6,2,3,4]=>[6,1,7,8,5,3,4,2]
[3,4,6,2,5,7,1,8]=>[1,2,4,5,3,7,6,8]
[1,7,5,2,6,8,3,4]=>[7,5,3,8,4,1,2,6]
[5,1,7,2,4,6,3,8]=>[5,7,4,1,6,2,3,8]
[6,8,2,1,3,4,7,5]=>[3,8,4,5,1,6,7,2]
[5,2,1,7,6,4,3,8]=>[7,6,2,1,5,3,4,8]
[7,4,8,3,6,5,1,2]=>[2,4,7,1,8,6,5,3]
[6,4,8,5,1,7,2,3]=>[2,7,1,8,5,4,6,3]
[5,2,8,1,3,6,7,4]=>[6,8,2,1,4,5,7,3]
[6,3,2,7,4,5,8,1]=>[2,5,6,3,1,4,8,7]
[7,4,3,8,5,6,1,2]=>[2,7,3,5,1,8,6,4]
[6,2,1,8,7,4,5,3]=>[6,8,7,2,1,5,3,4]
[6,2,1,8,7,3,5,4]=>[8,6,7,2,1,5,3,4]
[5,2,1,7,6,3,4,8]=>[6,7,2,1,5,3,4,8]
[4,2,6,8,5,7,1,3]=>[1,3,7,5,8,2,6,4]
[8,6,4,3,2,7,5,1]=>[4,3,8,5,2,7,6,1]
[1,3,4,7,8,2,6,5]=>[8,6,2,3,4,7,1,5]
[1,5,4,3,8,7,2,6]=>[3,2,7,8,4,6,1,5]
[1,2,5,8,4,3,6,7]=>[3,6,5,7,8,1,2,4]
[1,5,8,2,6,4,3,7]=>[2,7,6,4,5,8,1,3]
[3,5,6,2,4,7,8,1]=>[4,1,2,5,3,6,8,7]
[3,5,6,7,2,4,8,1]=>[2,5,1,3,6,4,8,7]
[3,5,7,6,8,2,4,1]=>[6,2,4,1,3,8,7,5]
[3,5,7,2,6,8,4,1]=>[2,5,8,1,4,3,7,6]
[3,5,2,7,6,8,4,1]=>[2,5,1,4,8,3,7,6]
[3,5,7,4,2,6,8,1]=>[2,5,1,4,6,3,8,7]
[3,5,4,7,2,6,8,1]=>[3,1,2,5,6,4,8,7]
[3,4,5,7,2,6,8,1]=>[1,2,3,5,6,4,8,7]
[3,4,5,7,2,8,6,1]=>[8,1,2,3,5,4,7,6]
[3,5,4,7,8,2,6,1]=>[2,6,1,3,4,8,7,5]
[3,5,4,7,2,8,6,1]=>[2,8,1,3,5,4,7,6]
[3,2,5,7,4,8,6,1]=>[8,1,3,5,2,4,7,6]
[3,5,7,4,2,8,6,1]=>[2,4,8,1,5,3,7,6]
[3,5,7,8,4,2,6,1]=>[6,2,5,1,3,8,7,4]
[2,3,5,7,8,4,6,1]=>[6,3,4,8,1,2,7,5]
[3,5,2,7,8,6,4,1]=>[2,4,8,1,7,3,6,5]
[3,5,7,8,2,6,4,1]=>[8,2,5,1,3,7,6,4]
[3,5,7,8,6,2,4,1]=>[6,2,3,8,1,7,5,4]
[4,2,5,6,7,3,8,1]=>[3,1,4,6,2,5,8,7]
[8,6,1,4,3,5,2,7]=>[5,4,7,3,6,2,8,1]
[6,1,8,4,3,5,2,7]=>[5,4,7,6,1,8,2,3]
[5,1,6,4,8,2,3,7]=>[6,4,3,1,7,8,2,5]
[8,1,4,2,5,3,6,7]=>[6,4,2,3,5,7,8,1]
[2,8,4,1,5,3,6,7]=>[6,4,1,3,5,7,8,2]
[8,4,1,3,5,2,6,7]=>[4,6,3,2,5,7,8,1]
[4,1,8,3,5,2,6,7]=>[4,1,6,5,7,8,2,3]
[8,3,1,2,5,4,6,7]=>[6,3,2,4,5,7,8,1]
[3,1,8,2,5,4,6,7]=>[1,6,4,5,7,8,2,3]
[4,2,5,1,8,7,6,3]=>[1,8,3,7,2,6,4,5]
[5,2,4,8,1,7,6,3]=>[8,3,1,7,2,5,6,4]
[7,3,2,4,6,8,1,5]=>[2,7,3,4,5,1,8,6]
[1,4,8,6,7,2,5,3]=>[8,6,2,4,7,5,1,3]
[1,4,5,7,3,8,2,6]=>[2,3,5,7,4,8,1,6]
[4,6,8,1,2,5,3,7]=>[1,7,4,5,2,6,8,3]
[3,5,6,8,2,1,4,7]=>[2,6,1,5,3,7,8,4]
[8,2,5,4,1,3,7,6]=>[8,5,2,4,3,6,7,1]
[2,4,5,8,6,3,1,7]=>[7,2,3,6,1,5,8,4]
[5,4,8,2,3,1,7,6]=>[4,2,1,5,8,6,7,3]
[4,7,5,8,2,3,1,6]=>[5,1,3,7,6,2,8,4]
[4,6,7,5,1,8,3,2]=>[2,8,1,7,5,4,3,6]
[1,7,3,6,5,8,2,4]=>[7,5,3,4,2,8,1,6]
[8,3,4,2,6,7,1,5]=>[2,3,7,4,5,8,6,1]
[7,5,3,8,6,2,1,4]=>[7,3,2,6,1,8,5,4]
[7,3,1,8,2,6,5,4]=>[8,2,7,5,6,3,1,4]
[4,6,7,5,2,8,3,1]=>[2,8,1,5,4,3,7,6]
[5,8,7,2,4,3,1,6]=>[1,7,4,6,5,8,3,2]
[5,1,2,8,6,7,3,4]=>[7,5,1,8,6,2,3,4]
[2,5,7,8,6,1,4,3]=>[8,2,6,3,7,1,5,4]
[7,2,6,8,4,5,1,3]=>[7,5,3,8,2,1,6,4]
[5,1,7,6,8,2,3,4]=>[6,1,7,4,3,8,2,5]
[4,6,7,2,1,5,3,8]=>[1,4,7,5,2,6,3,8]
[1,7,6,2,4,3,8,5]=>[5,8,4,6,3,1,2,7]
[7,1,6,2,4,5,3,8]=>[5,7,4,6,2,3,1,8]
[5,7,1,6,2,3,4,8]=>[5,6,1,7,3,4,2,8]
[6,2,5,8,3,4,1,7]=>[5,3,7,2,1,6,8,4]
[5,6,8,7,1,3,2,4]=>[1,7,5,2,6,8,4,3]
[1,5,3,4,8,2,6,7]=>[3,4,2,6,7,8,1,5]
[2,1,3,6,5,8,4,7]=>[5,1,4,7,8,2,3,6]
[2,8,6,5,7,4,3,1]=>[4,3,8,7,6,1,5,2]
[2,8,6,5,7,4,1,3]=>[7,4,3,8,6,1,5,2]
[6,5,2,7,4,3,1,8]=>[7,6,3,2,1,5,4,8]
[6,5,2,8,4,3,7,1]=>[6,5,2,1,8,3,7,4]
[7,5,8,3,4,2,1,6]=>[4,2,7,6,5,1,8,3]
[7,6,8,5,2,4,1,3]=>[5,7,2,1,8,6,4,3]
[5,3,7,2,4,1,8,6]=>[2,4,1,5,8,6,3,7]
[5,1,2,8,6,3,7,4]=>[8,6,5,1,7,2,3,4]
[6,1,5,7,2,4,3,8]=>[7,5,3,6,2,1,4,8]
[4,1,8,2,6,5,7,3]=>[1,6,5,8,4,7,2,3]
[6,1,4,7,8,5,3,2]=>[4,8,3,1,7,6,2,5]
[6,1,5,7,8,4,2,3]=>[3,7,4,1,8,6,2,5]
[5,6,8,3,7,4,2,1]=>[1,2,8,4,7,6,5,3]
[4,6,1,5,7,2,8,3]=>[1,4,8,6,3,2,5,7]
[2,5,8,4,6,3,7,1]=>[2,4,6,5,8,1,7,3]
[4,3,7,1,2,6,8,5]=>[2,1,6,8,4,5,3,7]
[8,1,6,5,2,7,4,3]=>[8,7,5,4,2,3,6,1]
[6,8,1,5,2,7,4,3]=>[8,7,5,3,1,4,6,2]
[4,5,8,2,3,7,6,1]=>[1,2,8,4,5,7,6,3]
[5,6,2,7,4,8,3,1]=>[1,5,4,2,8,3,7,6]
[1,7,3,2,4,8,6,5]=>[8,3,7,4,5,1,2,6]
[4,3,1,8,2,6,7,5]=>[2,1,6,8,5,7,3,4]
[4,8,1,3,2,5,7,6]=>[4,1,8,3,5,6,7,2]
[1,7,5,3,8,6,2,4]=>[7,3,8,4,2,6,1,5]
[4,2,5,8,1,3,7,6]=>[3,1,8,2,5,6,7,4]
[3,1,8,2,6,5,4,7]=>[7,1,6,4,5,8,2,3]
[2,3,8,4,1,5,7,6]=>[4,8,1,2,5,6,7,3]
[7,1,6,2,4,8,3,5]=>[5,7,8,4,2,3,1,6]
[2,7,8,1,4,3,6,5]=>[5,8,4,6,1,2,7,3]
[6,5,8,1,3,2,4,7]=>[6,4,5,2,1,7,8,3]
[2,1,8,5,3,4,6,7]=>[5,6,1,4,7,8,2,3]
[8,4,1,3,2,5,6,7]=>[5,3,4,2,6,7,8,1]
[8,6,1,2,3,5,4,7]=>[7,3,4,5,6,2,8,1]
[7,8,1,5,2,4,6,3]=>[6,8,5,3,4,1,7,2]
[2,8,6,3,1,5,4,7]=>[4,7,5,6,1,3,8,2]
[5,7,2,8,4,1,6,3]=>[1,8,6,3,5,2,7,4]
[2,5,6,3,8,1,4,7]=>[4,2,6,1,3,7,8,5]
[7,4,5,6,8,1,3,2]=>[2,3,8,6,4,1,7,5]
[7,6,8,1,4,5,3,2]=>[5,8,7,4,2,1,6,3]
[7,5,1,8,4,6,3,2]=>[5,2,8,7,6,3,1,4]
[1,7,8,5,6,4,3,2]=>[4,2,8,7,6,5,1,3]
[2,8,1,7,4,5,3,6]=>[5,7,6,8,1,3,4,2]
[7,3,6,2,5,4,8,1]=>[6,2,4,5,3,1,8,7]
[1,6,2,3,5,8,4,7]=>[5,7,8,3,1,2,4,6]
[1,8,5,6,4,3,7,2]=>[3,6,5,4,8,7,1,2]
[2,6,8,4,5,1,7,3]=>[4,2,8,6,1,5,7,3]
[4,6,5,7,8,1,3,2]=>[3,1,2,8,6,4,7,5]
[2,5,8,6,4,7,1,3]=>[7,2,5,4,8,1,6,3]
[5,3,2,1,7,8,4,6]=>[2,7,3,1,5,8,4,6]
[8,4,1,3,6,7,2,5]=>[7,4,2,5,8,3,6,1]
[1,6,5,3,8,4,7,2]=>[6,3,2,8,4,7,1,5]
[7,6,2,3,5,1,4,8]=>[3,4,6,7,5,2,1,8]
[6,2,5,3,4,8,1,7]=>[4,5,2,3,1,7,8,6]
[6,2,5,3,4,8,7,1]=>[8,4,2,3,1,5,7,6]
[2,6,5,3,4,8,1,7]=>[4,5,3,1,2,7,8,6]
[5,3,4,8,1,7,2,6]=>[2,3,1,7,8,5,6,4]
[5,1,3,4,8,7,2,6]=>[7,8,3,1,4,6,2,5]
[1,5,3,4,8,7,2,6]=>[7,2,8,3,4,6,1,5]
[5,1,3,8,4,7,6,2]=>[8,5,1,7,3,6,2,4]
[5,3,8,1,4,7,6,2]=>[8,2,1,5,7,4,6,3]
[4,3,5,8,1,7,6,2]=>[1,8,2,3,7,5,6,4]
[3,6,5,4,8,1,2,7]=>[6,4,1,3,2,7,8,5]
[3,6,5,4,8,2,7,1]=>[4,3,1,2,6,8,7,5]
[3,5,2,4,8,7,6,1]=>[2,8,1,7,3,4,6,5]
[2,5,3,6,8,4,1,7]=>[4,2,7,1,3,6,8,5]
[4,6,2,5,1,7,8,3]=>[1,6,3,4,2,8,5,7]
[2,3,6,5,8,4,1,7]=>[4,3,7,1,2,6,8,5]
[2,3,5,1,7,6,4,8]=>[3,7,1,2,6,4,5,8]
[2,3,1,7,4,8,6,5]=>[8,7,1,2,5,3,4,6]
[2,3,8,7,6,4,1,5]=>[7,6,8,5,1,2,4,3]
[2,6,3,7,4,1,5,8]=>[6,3,5,1,2,7,4,8]
[7,5,2,3,1,6,4,8]=>[3,4,7,5,2,6,1,8]
[1,8,3,6,4,2,7,5]=>[5,8,3,6,4,7,1,2]
[2,1,7,4,8,5,3,6]=>[7,4,6,1,3,8,2,5]
[8,1,7,3,2,5,4,6]=>[4,7,5,6,8,2,3,1]
[7,8,5,2,6,4,3,1]=>[8,7,4,3,1,6,5,2]
[4,2,8,1,3,6,7,5]=>[6,1,8,2,4,5,7,3]
[8,1,2,5,7,4,6,3]=>[4,6,8,7,2,3,5,1]
[7,4,6,3,1,2,5,8]=>[5,2,6,4,7,3,1,8]
[6,4,1,3,7,2,5,8]=>[4,6,2,7,3,1,5,8]
[8,2,5,3,6,1,4,7]=>[4,6,2,3,7,5,8,1]
[3,7,5,1,4,6,2,8]=>[5,7,1,4,3,6,2,8]
[6,8,7,4,1,5,2,3]=>[7,1,8,5,4,6,3,2]
[8,6,4,7,5,1,3,2]=>[3,8,6,2,7,5,4,1]
[6,1,2,4,7,8,3,5]=>[7,4,5,8,2,1,3,6]
[2,4,6,5,7,1,8,3]=>[4,2,3,8,1,6,5,7]
[4,2,6,7,8,5,3,1]=>[1,3,4,8,7,2,6,5]
[6,2,4,7,8,5,3,1]=>[4,8,3,1,7,2,6,5]
[3,5,2,1,7,8,6,4]=>[5,1,2,8,3,7,4,6]
[4,2,7,8,6,5,1,3]=>[7,1,3,8,6,2,5,4]
[1,2,7,8,6,4,5,3]=>[6,3,8,7,5,1,2,4]
[4,8,1,2,6,5,3,7]=>[1,7,6,3,4,5,8,2]
[7,1,6,3,2,4,8,5]=>[4,8,5,6,2,3,1,7]
[6,4,8,1,2,3,7,5]=>[8,4,2,5,1,6,7,3]
[7,4,1,3,6,8,5,2]=>[5,2,8,4,7,3,1,6]
[7,1,8,3,2,6,5,4]=>[8,4,7,5,6,2,1,3]
[7,2,5,1,6,4,3,8]=>[7,6,2,4,3,5,1,8]
[5,2,7,1,4,6,3,8]=>[5,7,2,1,4,6,3,8]
[6,3,8,5,7,1,4,2]=>[8,6,2,1,4,7,5,3]
[2,4,3,8,5,7,1,6]=>[2,5,7,8,1,3,6,4]
[2,8,3,1,4,6,5,7]=>[3,7,1,4,5,6,8,2]
[4,5,7,6,1,3,8,2]=>[1,2,6,8,5,4,3,7]
[3,7,1,6,5,8,2,4]=>[7,5,1,4,8,3,2,6]
[7,4,3,6,8,2,1,5]=>[2,7,3,6,4,1,8,5]
[3,8,5,4,7,6,1,2]=>[4,3,7,8,1,6,5,2]
[1,4,6,8,7,3,5,2]=>[3,6,8,2,7,5,1,4]
[4,6,5,1,3,8,7,2]=>[8,1,5,3,2,7,4,6]
[5,4,6,2,1,8,7,3]=>[2,1,8,4,3,7,5,6]
[3,2,8,5,1,4,6,7]=>[1,5,6,2,4,7,8,3]
[3,5,4,1,2,8,6,7]=>[7,1,3,2,8,4,5,6]
[5,3,8,1,4,2,6,7]=>[2,6,4,1,5,7,8,3]
[5,3,8,1,4,2,7,6]=>[2,5,1,8,4,6,7,3]
[1,4,7,5,8,6,2,3]=>[4,7,2,3,8,6,1,5]
[8,5,7,6,3,4,1,2]=>[2,7,5,8,6,4,3,1]
[7,5,2,6,1,4,8,3]=>[6,8,3,2,5,4,1,7]
[2,4,5,1,8,3,7,6]=>[2,3,8,1,6,7,4,5]
[7,2,8,5,3,4,1,6]=>[5,7,6,2,4,1,8,3]
[6,4,5,3,1,7,8,2]=>[2,6,4,3,1,8,5,7]
[7,3,5,6,4,1,8,2]=>[3,8,2,6,5,4,1,7]
[1,4,7,6,8,5,2,3]=>[7,4,2,3,8,6,1,5]
[2,5,6,3,4,1,8,7]=>[4,2,5,1,3,8,6,7]
[4,6,2,1,5,8,3,7]=>[3,1,5,7,2,8,4,6]
[2,3,5,8,7,4,1,6]=>[7,3,6,8,1,2,5,4]
[2,3,5,8,7,4,6,1]=>[6,8,3,7,1,2,5,4]
[4,5,3,7,8,1,2,6]=>[1,3,2,6,7,4,8,5]
[2,3,5,8,1,6,4,7]=>[3,7,1,2,5,6,8,4]
[1,7,4,5,8,3,6,2]=>[3,4,6,2,8,7,1,5]
[8,6,1,5,4,2,7,3]=>[8,6,5,3,4,2,7,1]
[2,8,5,6,3,1,4,7]=>[6,5,3,7,1,4,8,2]
[4,8,2,6,1,5,7,3]=>[1,6,8,3,5,4,7,2]
[2,3,7,8,1,5,4,6]=>[7,5,6,1,2,3,8,4]
[5,2,6,7,8,3,1,4]=>[3,1,7,6,2,4,8,5]
[5,6,2,7,8,3,1,4]=>[1,7,6,3,2,4,8,5]
[2,3,7,5,8,4,6,1]=>[4,6,3,8,1,2,7,5]
[3,7,8,5,1,4,6,2]=>[6,8,5,1,4,2,7,3]
[2,5,6,7,1,8,4,3]=>[2,3,8,7,1,5,4,6]
[8,5,3,6,4,2,1,7]=>[7,3,2,6,5,4,8,1]
[2,3,7,8,5,4,6,1]=>[6,5,3,8,1,2,7,4]
[6,4,7,8,1,2,5,3]=>[2,8,5,1,6,3,7,4]
[7,5,8,1,2,3,6,4]=>[8,4,5,2,6,1,7,3]
[1,2,8,7,4,6,5,3]=>[8,5,7,6,4,1,2,3]
[5,1,4,8,7,3,6,2]=>[6,1,8,3,7,5,2,4]
[4,3,1,8,7,5,6,2]=>[1,6,8,2,7,5,3,4]
[4,3,2,7,6,1,5,8]=>[2,1,6,7,3,5,4,8]
[7,2,6,5,3,1,4,8]=>[6,5,7,2,4,3,1,8]
[1,3,7,6,2,4,8,5]=>[8,5,6,2,4,1,3,7]
[1,3,8,2,7,4,6,5]=>[8,6,7,2,4,5,1,3]
[8,2,7,1,6,4,3,5]=>[7,6,8,2,4,5,3,1]
[4,3,2,8,1,7,5,6]=>[2,1,7,8,3,5,6,4]
[7,5,4,1,6,3,8,2]=>[6,5,3,2,8,4,1,7]
[1,6,5,3,2,4,8,7]=>[4,8,5,3,1,2,6,7]
[1,7,3,5,2,4,8,6]=>[8,3,5,4,6,1,2,7]
[4,3,7,2,5,1,6,8]=>[2,1,4,6,5,7,3,8]
[5,1,4,3,2,6,8,7]=>[4,3,8,2,1,5,6,7]
[7,2,1,3,5,4,6,8]=>[2,6,3,4,5,7,1,8]
[8,3,7,5,4,2,6,1]=>[6,5,2,4,8,7,3,1]
[1,6,8,7,5,2,3,4]=>[6,2,7,8,5,4,1,3]
[4,3,6,1,8,5,2,7]=>[1,7,2,6,3,8,4,5]
[1,3,6,2,5,4,8,7]=>[5,8,2,4,1,3,6,7]
[1,4,8,7,3,6,2,5]=>[5,7,8,2,6,4,1,3]
[4,5,7,6,3,1,8,2]=>[8,1,2,6,5,4,3,7]
[4,6,7,5,1,3,8,2]=>[6,1,2,8,5,4,3,7]
[3,6,5,1,4,7,8,2]=>[5,6,1,3,2,8,4,7]
[4,6,7,3,1,5,8,2]=>[6,1,4,2,8,5,3,7]
[5,4,1,8,7,3,6,2]=>[2,1,6,8,7,5,3,4]
[6,2,4,7,5,3,1,8]=>[7,3,6,2,1,5,4,8]
[6,2,5,1,8,7,3,4]=>[7,3,8,2,1,6,4,5]
[3,2,6,1,5,8,7,4]=>[8,1,5,2,3,7,4,6]
[4,2,3,6,7,5,1,8]=>[4,1,7,2,3,6,5,8]
[6,2,3,5,7,4,1,8]=>[4,7,2,3,1,6,5,8]
[1,6,3,8,4,7,2,5]=>[5,7,2,8,3,6,1,4]
[7,5,8,1,4,2,3,6]=>[6,7,4,2,5,1,8,3]
[1,3,4,8,5,6,2,7]=>[5,7,2,3,6,8,1,4]
[3,2,7,1,8,6,5,4]=>[8,7,1,6,2,4,3,5]
[1,3,8,5,6,7,2,4]=>[4,7,5,8,2,6,1,3]
[6,2,4,1,5,7,8,3]=>[5,2,3,6,1,8,4,7]
[5,8,4,1,3,6,7,2]=>[5,1,6,3,8,4,7,2]
[6,7,2,3,8,1,4,5]=>[3,4,6,1,7,2,8,5]
[3,2,7,4,8,1,5,6]=>[1,4,6,7,2,3,8,5]
[2,5,4,7,3,1,8,6]=>[3,2,5,8,1,6,4,7]
[4,6,3,1,2,5,7,8]=>[4,1,5,3,6,2,7,8]
[7,4,6,8,3,1,2,5]=>[2,6,7,5,3,1,8,4]
[8,5,4,7,3,1,2,6]=>[6,3,2,7,5,8,4,1]
[7,3,2,1,5,4,8,6]=>[3,2,5,8,4,6,1,7]
[2,5,6,4,8,1,3,7]=>[2,6,4,1,3,7,8,5]
[5,4,1,6,2,3,7,8]=>[5,6,3,2,1,4,7,8]
[1,3,6,5,2,4,7,8]=>[5,6,2,4,1,3,7,8]
[6,4,5,1,2,8,7,3]=>[2,8,7,4,3,1,5,6]
[5,4,1,2,7,6,3,8]=>[7,6,3,2,1,4,5,8]
[5,8,7,3,1,2,4,6]=>[5,1,6,4,7,8,3,2]
[2,7,8,1,4,5,3,6]=>[5,7,4,6,1,2,8,3]
[4,1,2,8,7,3,6,5]=>[1,8,6,7,5,2,3,4]
[6,1,2,4,3,8,7,5]=>[8,4,7,2,3,1,5,6]
[3,7,8,1,2,4,6,5]=>[8,1,4,5,6,2,7,3]
[7,3,4,1,2,6,8,5]=>[2,6,3,8,4,5,1,7]
[8,4,3,1,2,6,5,7]=>[7,4,3,2,5,6,8,1]
[3,8,2,7,4,5,1,6]=>[5,7,1,3,6,8,4,2]
[8,6,2,3,5,4,1,7]=>[7,3,4,6,5,2,8,1]
[8,2,6,1,3,5,4,7]=>[7,2,4,5,6,3,8,1]
[8,4,3,7,2,5,6,1]=>[3,2,5,6,8,7,4,1]
[8,3,1,7,4,5,2,6]=>[2,5,7,6,8,3,4,1]
[8,2,4,5,1,7,3,6]=>[3,7,2,4,8,5,6,1]
[6,8,2,4,5,1,7,3]=>[4,8,3,1,6,5,7,2]
[4,3,8,1,7,5,6,2]=>[1,6,8,2,7,4,5,3]
[8,4,3,7,1,5,6,2]=>[3,2,6,8,5,7,4,1]
[8,3,4,7,2,6,5,1]=>[8,2,3,5,7,6,4,1]
[8,1,3,7,6,4,5,2]=>[6,8,7,3,5,2,4,1]
[8,3,7,1,4,5,6,2]=>[2,5,6,8,4,7,3,1]
[8,7,3,6,1,2,5,4]=>[3,8,5,6,7,4,2,1]
[8,3,7,6,2,4,5,1]=>[5,6,8,2,7,4,3,1]
[8,7,2,3,6,1,5,4]=>[8,3,4,6,7,5,2,1]
[8,2,7,1,3,4,6,5]=>[8,2,4,5,6,7,3,1]
[5,1,8,4,2,3,7,6]=>[8,5,4,1,6,7,2,3]
[8,2,4,7,3,1,6,5]=>[3,5,8,2,6,7,4,1]
[8,2,7,6,3,1,4,5]=>[6,5,7,8,2,4,3,1]
[6,8,1,4,7,3,2,5]=>[4,7,6,1,8,3,5,2]
[8,5,7,2,6,3,1,4]=>[7,4,2,6,8,5,3,1]
[5,8,2,7,3,1,6,4]=>[5,1,8,3,6,7,4,2]
[8,1,2,6,7,5,4,3]=>[4,8,7,6,2,3,5,1]
[8,4,1,7,5,6,2,3]=>[2,7,5,8,6,3,4,1]
[8,2,4,7,6,5,1,3]=>[7,8,3,6,2,5,4,1]
[8,2,7,6,4,5,1,3]=>[7,5,8,6,2,4,3,1]
[8,4,7,2,3,6,5,1]=>[2,8,4,5,7,6,3,1]
[8,2,4,7,3,6,5,1]=>[8,3,5,7,2,6,4,1]
[8,1,7,6,4,5,2,3]=>[7,5,8,6,4,2,3,1]
[8,1,2,7,6,4,5,3]=>[6,8,7,5,2,3,4,1]
[8,1,4,7,3,6,5,2]=>[8,3,5,7,6,2,4,1]
[2,8,1,5,3,7,6,4]=>[4,8,7,1,3,5,6,2]
[1,8,2,4,7,5,6,3]=>[6,8,4,7,3,5,1,2]
[2,3,8,4,7,1,6,5]=>[8,4,6,7,1,2,5,3]
[1,8,2,3,5,6,4,7]=>[5,7,3,4,6,8,1,2]
[1,4,7,6,2,3,5,8]=>[2,5,6,7,4,1,3,8]
[1,7,6,2,3,8,4,5]=>[7,8,4,5,3,1,2,6]
[1,8,2,3,7,6,4,5]=>[7,8,6,3,4,5,1,2]
[1,7,3,8,6,2,5,4]=>[8,6,7,3,2,5,1,4]
[5,8,2,3,7,4,1,6]=>[7,3,1,4,6,8,5,2]
[4,2,8,3,7,6,1,5]=>[1,7,8,4,6,2,5,3]
[1,3,5,6,4,8,2,7]=>[3,5,2,4,7,8,1,6]
[3,1,7,8,5,2,4,6]=>[6,7,1,5,3,8,2,4]
[4,6,1,8,2,7,5,3]=>[8,1,7,5,2,6,3,4]
[6,3,5,2,8,4,7,1]=>[6,2,3,1,8,4,7,5]
[1,6,3,5,2,8,4,7]=>[7,3,4,2,8,1,5,6]
[5,4,8,6,3,7,2,1]=>[1,5,2,4,8,7,6,3]
[6,4,5,8,1,3,7,2]=>[2,6,3,1,8,5,7,4]
[6,3,5,1,8,4,7,2]=>[6,2,3,1,8,7,4,5]
[2,6,3,1,5,8,4,7]=>[3,5,7,1,2,8,4,6]
[2,5,4,8,6,3,1,7]=>[2,7,3,6,1,5,8,4]
[2,5,4,8,6,3,7,1]=>[2,6,3,5,8,1,7,4]
[1,2,5,4,8,6,3,7]=>[3,7,4,6,8,1,2,5]
[6,4,5,8,2,1,7,3]=>[2,5,3,1,8,6,7,4]
[5,3,4,1,2,6,8,7]=>[2,8,4,3,1,5,6,7]
[1,4,3,5,2,8,6,7]=>[3,2,4,7,8,1,5,6]
[1,3,5,4,8,2,6,7]=>[4,2,3,6,7,8,1,5]
[3,5,4,8,2,6,1,7]=>[3,1,2,5,7,6,8,4]
[3,6,4,5,1,2,8,7]=>[3,8,1,5,4,2,6,7]
[4,3,5,1,8,6,2,7]=>[2,1,3,7,6,8,4,5]
[3,5,4,8,1,6,2,7]=>[3,1,2,7,5,6,8,4]
[3,4,8,5,6,1,2,7]=>[6,1,2,4,7,5,8,3]
[3,4,8,5,6,2,1,7]=>[4,7,1,2,6,5,8,3]
[3,5,4,8,1,6,7,2]=>[3,1,2,6,8,5,7,4]
[2,4,3,1,5,8,6,7]=>[3,1,2,7,8,4,5,6]
[1,7,6,2,5,4,8,3]=>[6,5,8,4,3,1,2,7]
[5,6,1,7,4,3,8,2]=>[1,6,5,4,2,8,3,7]
[3,7,2,1,5,6,8,4]=>[1,3,5,6,8,4,2,7]
[3,1,5,6,4,2,7,8]=>[1,3,6,5,2,4,7,8]
[8,3,4,1,6,5,7,2]=>[2,3,6,5,8,4,7,1]
[8,1,6,4,3,5,2,7]=>[5,4,7,6,2,3,8,1]
[1,3,7,8,2,6,4,5]=>[7,8,5,2,3,6,1,4]
[2,1,6,5,3,8,7,4]=>[4,3,8,1,7,2,5,6]
[3,7,5,6,4,2,1,8]=>[3,7,6,1,5,4,2,8]
[6,1,4,3,7,5,8,2]=>[3,6,4,5,1,8,2,7]
[3,8,6,4,5,2,7,1]=>[4,6,5,1,3,8,7,2]
[4,5,8,6,2,3,7,1]=>[1,2,5,6,4,8,7,3]
[4,6,8,5,3,7,2,1]=>[2,5,1,4,8,7,6,3]
[4,5,7,2,8,6,3,1]=>[8,1,2,7,4,3,6,5]
[3,7,4,5,1,6,8,2]=>[3,6,1,4,8,5,2,7]
[4,6,8,1,2,5,7,3]=>[1,6,8,4,2,5,7,3]
[4,6,8,5,1,3,7,2]=>[6,1,2,8,5,4,7,3]
[3,7,4,5,2,8,6,1]=>[3,4,8,1,5,2,7,6]
[3,7,8,4,6,1,5,2]=>[4,8,6,1,2,7,5,3]
[4,5,7,2,1,6,8,3]=>[1,4,2,6,8,5,3,7]
[4,5,1,6,8,3,7,2]=>[1,4,2,6,8,7,3,5]
[8,3,5,4,6,1,2,7]=>[6,2,4,3,7,5,8,1]
[1,7,4,5,2,6,8,3]=>[3,6,4,8,5,1,2,7]
[1,4,2,6,5,3,8,7]=>[2,5,4,8,1,3,6,7]
[3,1,5,8,4,6,2,7]=>[1,3,5,7,6,8,2,4]
[8,2,6,3,4,1,5,7]=>[4,6,2,5,7,3,8,1]
[4,6,5,8,2,1,3,7]=>[6,1,5,3,2,7,8,4]
[1,4,8,3,5,6,2,7]=>[2,4,5,7,6,8,1,3]
[1,8,7,4,2,3,6,5]=>[8,5,4,6,7,3,1,2]
[4,3,1,8,5,7,2,6]=>[2,1,5,7,8,6,3,4]
[7,3,2,4,8,1,6,5]=>[2,8,3,4,6,1,7,5]
[3,7,2,4,5,8,1,6]=>[1,3,4,5,7,2,8,6]
[3,2,7,4,6,1,8,5]=>[8,1,4,6,2,5,3,7]
[8,3,2,4,6,1,7,5]=>[2,8,3,4,6,5,7,1]
[8,3,2,4,5,7,1,6]=>[3,2,4,5,7,8,6,1]
[7,4,6,2,1,3,8,5]=>[4,2,8,5,6,3,1,7]
[3,6,7,2,4,1,8,5]=>[4,5,1,2,8,6,3,7]
[8,4,7,2,3,5,6,1]=>[4,2,5,6,8,7,3,1]
[3,8,6,7,1,5,4,2]=>[8,7,5,1,3,6,4,2]
[4,3,2,8,6,1,5,7]=>[2,1,6,7,3,5,8,4]
[4,1,6,3,2,5,7,8]=>[5,4,1,6,2,3,7,8]
[5,7,1,8,4,3,6,2]=>[1,6,5,8,7,3,2,4]
[5,4,8,7,6,2,3,1]=>[1,6,8,2,7,5,4,3]
[8,4,6,3,1,5,2,7]=>[2,7,5,4,6,3,8,1]
[3,6,1,5,2,4,7,8]=>[1,5,6,3,4,2,7,8]
[3,7,6,2,5,4,1,8]=>[7,4,6,1,5,3,2,8]
[2,7,1,5,3,4,6,8]=>[5,6,1,3,4,7,2,8]
[8,4,5,1,2,7,6,3]=>[2,8,7,4,3,5,6,1]
[5,2,3,8,7,1,6,4]=>[8,6,1,7,2,3,5,4]
[7,5,2,4,1,3,8,6]=>[8,3,5,4,2,6,1,7]
[7,2,6,8,5,1,3,4]=>[6,7,3,8,2,1,5,4]
[8,6,5,4,1,3,7,2]=>[6,8,5,4,3,2,7,1]
[8,2,3,4,1,6,7,5]=>[2,3,4,6,8,5,7,1]
[7,4,3,8,1,6,5,2]=>[2,8,3,7,5,1,6,4]
[6,5,1,4,3,8,7,2]=>[4,8,5,2,1,7,3,6]
[4,7,6,2,5,8,1,3]=>[7,1,4,5,3,2,8,6]
[6,3,2,4,5,8,1,7]=>[3,2,4,5,1,7,8,6]
[2,6,4,5,8,3,1,7]=>[3,4,2,7,1,6,8,5]
[3,7,4,8,6,2,5,1]=>[6,8,3,1,2,7,5,4]
[7,3,5,2,8,1,4,6]=>[2,4,6,3,7,1,8,5]
[1,5,8,7,4,2,3,6]=>[2,6,7,5,8,4,1,3]
[1,7,2,4,5,8,6,3]=>[8,4,5,7,3,1,2,6]
[1,4,6,8,7,2,5,3]=>[3,8,2,6,7,5,1,4]
[1,6,2,7,5,3,4,8]=>[6,7,5,3,1,2,4,8]
[1,3,7,2,6,4,5,8]=>[6,7,2,4,5,1,3,8]
[1,7,3,2,8,5,6,4]=>[6,8,3,7,4,1,2,5]
[1,6,5,2,4,8,3,7]=>[5,7,3,2,8,1,4,6]
[1,7,3,8,4,2,5,6]=>[6,3,5,7,2,8,1,4]
[1,6,2,4,7,5,8,3]=>[6,4,5,2,8,1,3,7]
[1,6,2,7,4,3,8,5]=>[5,8,6,3,1,2,4,7]
[1,5,8,2,3,6,4,7]=>[7,4,2,5,6,8,1,3]
[2,5,3,6,7,1,4,8]=>[6,3,1,2,4,7,5,8]
[6,4,1,5,7,2,3,8]=>[6,4,2,7,3,1,5,8]
[6,4,1,5,7,3,8,2]=>[4,2,6,5,1,8,3,7]
[1,2,7,3,8,5,6,4]=>[6,8,7,4,1,2,3,5]
[7,4,1,6,3,8,2,5]=>[5,2,7,4,8,3,1,6]
[1,5,7,4,3,8,6,2]=>[2,4,8,5,3,7,1,6]
[2,7,3,1,4,5,8,6]=>[3,8,1,4,5,6,2,7]
[6,5,8,3,2,7,1,4]=>[5,4,2,1,7,8,6,3]
[8,4,3,1,7,6,5,2]=>[2,8,3,7,6,4,5,1]
[1,2,6,7,5,3,4,8]=>[6,3,7,5,1,2,4,8]
[1,2,6,8,7,4,5,3]=>[3,6,8,7,5,1,2,4]
[3,4,5,6,8,2,7,1]=>[1,2,3,4,6,8,7,5]
[7,2,1,4,5,6,3,8]=>[2,4,5,7,3,6,1,8]
[1,5,6,7,3,4,2,8]=>[2,5,3,7,6,1,4,8]
[4,6,8,5,2,1,7,3]=>[5,1,2,8,6,4,7,3]
[1,6,7,8,2,4,5,3]=>[6,2,8,5,3,7,1,4]
[4,7,8,2,1,3,5,6]=>[1,5,4,6,7,2,8,3]
[5,7,8,3,2,4,6,1]=>[1,5,4,6,2,8,7,3]
[5,7,8,2,3,1,6,4]=>[4,1,5,8,6,2,7,3]
[4,5,2,7,8,6,1,3]=>[1,2,7,4,8,3,6,5]
[1,3,5,8,7,2,6,4]=>[8,3,6,7,2,5,1,4]
[6,4,1,8,5,7,3,2]=>[2,5,1,8,7,6,3,4]
[4,1,3,8,7,5,2,6]=>[1,7,6,8,3,5,2,4]
[8,5,1,6,7,2,4,3]=>[8,6,4,2,7,3,5,1]
[3,6,7,2,1,5,8,4]=>[4,6,1,2,8,5,3,7]
[2,5,6,1,3,8,7,4]=>[2,8,7,1,4,3,5,6]
[3,8,5,7,2,4,6,1]=>[5,3,6,8,1,7,4,2]
[6,7,1,4,5,2,8,3]=>[4,8,6,3,1,5,2,7]
[7,2,5,6,1,3,8,4]=>[8,5,2,3,6,4,1,7]
[6,4,1,2,5,8,3,7]=>[5,7,2,8,3,1,4,6]
[4,6,3,5,7,1,8,2]=>[1,3,4,2,8,6,5,7]
[4,7,3,5,2,6,8,1]=>[1,3,5,4,6,2,8,7]
[2,3,5,4,7,1,8,6]=>[3,8,1,2,4,6,5,7]
[6,8,4,1,5,7,3,2]=>[5,3,1,8,7,4,6,2]
[8,1,6,2,3,7,5,4]=>[8,7,4,5,2,3,6,1]
[2,8,3,6,4,1,7,5]=>[5,8,3,6,1,4,7,2]
[5,1,8,7,3,2,6,4]=>[5,1,8,6,7,4,2,3]
[6,5,3,4,8,2,1,7]=>[3,4,2,1,7,6,8,5]
[5,4,8,7,3,6,2,1]=>[1,5,8,2,7,6,4,3]
[5,2,7,6,8,3,4,1]=>[1,6,4,3,8,2,7,5]
[8,4,5,2,7,3,6,1]=>[2,6,3,8,4,7,5,1]
[6,3,7,4,5,2,8,1]=>[4,6,2,1,5,3,8,7]
[7,3,4,2,8,5,6,1]=>[2,3,6,8,4,1,7,5]
[4,3,6,5,8,2,7,1]=>[1,4,2,3,6,8,7,5]
[8,2,7,4,5,3,6,1]=>[4,6,5,8,2,7,3,1]
[7,2,8,4,5,3,6,1]=>[4,6,5,8,2,1,7,3]
[6,3,8,2,7,4,5,1]=>[6,8,2,1,4,7,5,3]
[3,2,8,4,7,5,6,1]=>[6,8,1,4,7,2,5,3]
[8,3,6,2,7,4,5,1]=>[6,8,2,4,3,7,5,1]
[1,7,8,4,3,6,5,2]=>[4,8,5,2,7,6,1,3]
[1,7,8,3,6,5,4,2]=>[8,7,4,2,6,5,1,3]
[6,4,5,8,7,2,1,3]=>[2,3,1,7,6,8,5,4]
[5,8,1,7,2,4,3,6]=>[7,5,1,6,8,3,4,2]
[2,5,7,3,8,1,4,6]=>[4,2,6,7,1,3,8,5]
[8,3,5,2,1,6,7,4]=>[2,4,6,3,8,5,7,1]
[2,6,4,7,1,8,5,3]=>[8,3,2,7,1,5,4,6]
[1,6,5,7,3,8,2,4]=>[5,3,2,7,4,8,1,6]
[1,8,5,3,7,6,2,4]=>[7,3,8,4,6,5,1,2]
[6,4,2,3,8,7,5,1]=>[2,8,7,3,1,4,6,5]
[6,5,1,3,8,4,2,7]=>[7,4,6,2,1,8,3,5]
[6,1,4,2,7,8,3,5]=>[3,7,5,8,2,1,4,6]
[6,5,1,3,7,8,4,2]=>[5,8,4,2,1,7,3,6]
[5,1,3,2,7,8,6,4]=>[5,8,3,1,7,2,4,6]
[5,6,8,2,4,7,1,3]=>[1,7,4,2,5,8,6,3]
[6,7,4,2,3,8,5,1]=>[8,4,3,1,5,2,7,6]
[5,8,7,3,2,4,6,1]=>[1,5,4,6,8,7,3,2]
[5,1,3,2,6,8,4,7]=>[3,5,7,1,8,2,4,6]
[5,7,1,4,6,8,2,3]=>[4,1,7,5,8,3,2,6]
[2,4,1,7,5,6,3,8]=>[2,5,7,1,6,3,4,8]
[1,4,3,7,6,2,8,5]=>[8,2,6,3,5,1,4,7]
[1,6,2,5,7,3,8,4]=>[4,8,6,3,1,2,5,7]
[1,4,3,8,2,5,7,6]=>[2,8,3,5,6,7,1,4]
[1,5,7,3,6,4,2,8]=>[2,7,4,6,5,1,3,8]
[1,6,7,2,4,8,3,5]=>[5,7,2,8,4,1,3,6]
[3,7,2,8,4,1,5,6]=>[6,1,3,5,7,2,8,4]
[5,3,4,1,7,8,6,2]=>[2,3,1,5,8,7,4,6]
[4,7,6,5,8,2,3,1]=>[6,4,1,3,2,8,7,5]
[2,3,8,4,5,7,1,6]=>[4,5,7,8,1,2,6,3]
[4,1,8,3,2,6,5,7]=>[4,1,7,5,6,8,2,3]
[1,2,6,8,4,3,5,7]=>[6,5,3,7,8,1,2,4]
[7,2,6,3,1,8,4,5]=>[4,7,8,2,5,3,1,6]
[3,4,2,1,6,8,5,7]=>[1,3,2,5,7,8,4,6]
[3,4,7,1,5,6,2,8]=>[1,2,5,7,4,6,3,8]
[4,8,2,6,5,3,7,1]=>[6,1,5,3,4,8,7,2]
[4,8,7,2,5,6,1,3]=>[7,1,4,5,8,6,3,2]
[5,8,6,4,7,3,2,1]=>[4,1,3,8,7,6,5,2]
[8,5,2,3,1,6,7,4]=>[3,4,6,2,8,5,7,1]
[2,8,6,3,5,1,7,4]=>[8,4,6,5,1,3,7,2]
[8,3,2,6,4,1,7,5]=>[2,5,8,3,6,4,7,1]
[8,4,1,5,3,6,7,2]=>[5,4,2,6,8,3,7,1]
[8,3,5,1,4,6,7,2]=>[2,5,6,3,8,4,7,1]
[8,5,1,3,4,6,7,2]=>[4,5,6,2,8,3,7,1]
[3,8,6,2,5,4,7,1]=>[6,4,5,1,3,8,7,2]
[3,8,4,6,5,2,7,1]=>[6,3,5,1,4,8,7,2]
[8,1,7,4,2,5,3,6]=>[7,5,4,6,8,2,3,1]
[8,3,2,5,1,4,7,6]=>[2,8,3,5,4,6,7,1]
[8,4,5,1,2,6,7,3]=>[6,2,8,4,3,5,7,1]
[8,1,5,3,2,6,7,4]=>[4,6,3,8,2,5,7,1]
[8,1,5,2,4,6,7,3]=>[5,6,3,8,2,4,7,1]
[5,2,6,4,1,3,8,7]=>[8,5,2,1,4,3,6,7]
[7,1,3,5,2,8,6,4]=>[4,8,3,7,2,5,1,6]
[8,6,4,7,1,3,5,2]=>[6,3,8,5,2,7,4,1]
[6,8,4,3,2,1,7,5]=>[5,4,3,1,8,6,7,2]
[2,1,8,5,4,3,7,6]=>[5,4,8,1,6,7,2,3]
[6,2,8,5,4,1,3,7]=>[6,7,5,2,1,4,8,3]
[6,4,8,5,3,2,7,1]=>[6,2,1,5,4,8,7,3]
[8,5,4,6,2,7,1,3]=>[5,3,2,7,4,8,6,1]
[6,8,5,4,7,2,3,1]=>[1,6,4,3,8,7,5,2]
[2,5,7,3,4,8,1,6]=>[4,2,5,7,1,3,8,6]
[5,2,4,7,8,1,3,6]=>[3,6,1,7,2,4,8,5]
[4,8,5,6,1,2,7,3]=>[8,1,5,3,6,4,7,2]
[2,5,6,8,7,1,4,3]=>[2,3,8,6,7,1,5,4]
[1,7,8,5,4,6,2,3]=>[7,5,4,2,8,6,1,3]
[4,6,8,1,5,2,7,3]=>[8,1,6,4,2,5,7,3]
[5,3,8,1,2,6,7,4]=>[2,6,1,8,4,5,7,3]
[8,2,3,6,4,1,7,5]=>[5,8,2,3,6,4,7,1]
[2,3,7,5,8,6,1,4]=>[4,7,3,8,1,2,6,5]
[3,8,5,1,2,4,7,6]=>[8,1,4,5,3,6,7,2]
[1,3,6,4,8,2,7,5]=>[8,4,2,3,6,7,1,5]
[1,7,6,2,8,5,3,4]=>[7,8,6,4,3,1,2,5]
[1,5,8,6,4,7,2,3]=>[7,2,5,4,8,6,1,3]
[5,6,2,8,1,7,3,4]=>[7,1,8,3,2,5,6,4]
[6,8,4,5,1,3,7,2]=>[6,3,1,8,5,4,7,2]
[5,2,3,8,1,4,6,7]=>[2,3,5,1,6,7,8,4]
[1,6,8,3,2,4,5,7]=>[5,4,6,2,7,8,1,3]
[8,6,5,2,4,3,7,1]=>[6,4,5,3,2,8,7,1]
[6,2,5,3,7,4,8,1]=>[6,4,2,3,1,5,8,7]
[8,5,4,2,6,3,7,1]=>[6,4,3,2,5,8,7,1]
[8,5,3,2,6,4,7,1]=>[3,6,4,2,5,8,7,1]
[7,4,6,5,8,2,3,1]=>[6,2,4,3,1,8,7,5]
[7,3,6,5,8,2,4,1]=>[6,4,2,3,1,8,7,5]
[7,3,6,4,8,2,5,1]=>[4,6,2,3,1,8,7,5]
[7,3,5,4,8,2,6,1]=>[4,2,3,6,1,8,7,5]
[7,3,6,8,4,5,1,2]=>[7,5,2,3,1,8,6,4]
[1,6,5,7,4,2,8,3]=>[3,2,8,6,5,1,4,7]
[1,2,7,4,8,5,6,3]=>[6,8,4,3,7,1,2,5]
[2,6,7,4,8,5,1,3]=>[4,2,7,3,8,1,6,5]
[3,2,7,5,8,4,6,1]=>[4,6,1,3,8,2,7,5]
[2,5,8,6,4,3,7,1]=>[6,2,5,4,8,1,7,3]
[6,4,2,5,7,1,8,3]=>[4,2,8,3,1,6,5,7]
[2,7,5,4,6,8,1,3]=>[4,3,7,5,1,2,8,6]
[8,1,4,7,3,5,6,2]=>[3,5,6,8,7,2,4,1]
[8,3,7,2,4,5,6,1]=>[2,4,5,6,8,7,3,1]
[8,1,4,5,7,3,6,2]=>[3,4,6,8,7,2,5,1]
[2,5,7,4,6,8,1,3]=>[2,4,7,5,1,3,8,6]
[2,5,6,4,1,3,8,7]=>[2,8,5,1,4,3,6,7]
[4,6,1,3,5,7,2,8]=>[4,1,5,7,3,2,6,8]
[3,2,7,5,8,1,6,4]=>[4,8,1,6,2,3,7,5]
[4,3,6,8,5,2,1,7]=>[1,3,7,2,6,5,8,4]
[4,5,3,2,1,8,6,7]=>[1,4,3,2,7,8,5,6]
[3,6,5,8,1,7,4,2]=>[3,2,8,1,7,5,6,4]
[4,1,6,8,5,2,3,7]=>[1,6,3,7,5,8,2,4]
[4,5,2,8,6,7,1,3]=>[1,2,7,5,8,3,6,4]
[4,5,2,8,6,7,3,1]=>[1,2,5,8,7,3,6,4]
[3,5,8,6,2,4,7,1]=>[2,5,6,1,4,8,7,3]
[2,5,1,6,4,8,3,7]=>[5,4,1,2,7,8,3,6]
[3,2,4,5,8,6,1,7]=>[1,7,2,3,4,6,8,5]
[4,5,2,1,3,8,6,7]=>[3,1,7,2,8,4,5,6]
[4,2,3,6,8,5,1,7]=>[4,1,7,2,3,6,8,5]
[4,5,1,3,2,8,6,7]=>[4,1,7,2,8,3,5,6]
[3,4,5,8,6,1,7,2]=>[8,1,2,3,6,5,7,4]
[3,4,5,8,6,1,2,7]=>[1,2,3,6,7,5,8,4]
[6,3,1,2,5,4,8,7]=>[5,2,8,3,4,1,6,7]
[7,3,1,2,5,4,8,6]=>[5,2,8,3,4,6,1,7]
[8,2,6,4,1,3,7,5]=>[8,5,2,4,6,3,7,1]
[1,5,8,2,4,3,7,6]=>[5,2,8,4,6,7,1,3]
[4,3,7,8,2,6,5,1]=>[8,1,5,2,3,7,6,4]
[3,8,5,1,2,6,7,4]=>[6,8,1,4,3,5,7,2]
[2,4,7,8,3,6,5,1]=>[8,5,2,3,7,1,6,4]
[5,4,7,8,3,6,1,2]=>[1,7,2,5,3,8,6,4]
[6,8,1,3,2,5,7,4]=>[4,6,8,3,1,5,7,2]
[1,4,8,5,7,2,3,6]=>[6,2,4,7,8,5,1,3]
[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,1,2]
[8,6,2,7,3,4,1,5]=>[5,7,3,6,2,8,4,1]
[8,6,2,7,3,4,5,1]=>[5,6,8,3,2,7,4,1]
[5,6,3,2,8,7,1,4]=>[3,1,7,2,8,4,6,5]
[5,1,6,7,8,3,2,4]=>[3,1,7,6,4,8,2,5]
[1,5,6,3,7,2,4,8]=>[4,2,6,3,7,1,5,8]
[1,5,6,7,4,2,3,8]=>[2,6,3,7,5,1,4,8]
[5,1,6,7,3,4,2,8]=>[5,3,1,7,6,2,4,8]
[8,6,1,7,3,4,5,2]=>[5,6,8,7,3,2,4,1]
[6,8,5,1,7,4,2,3]=>[7,1,8,6,4,3,5,2]
[8,4,2,3,5,7,6,1]=>[8,3,2,4,5,7,6,1]
[4,8,5,2,3,1,6,7]=>[1,4,6,5,3,7,8,2]
[5,4,8,3,1,2,6,7]=>[5,2,1,6,4,7,8,3]
[8,4,7,3,2,5,6,1]=>[2,5,4,6,8,7,3,1]
[6,8,5,1,7,3,4,2]=>[6,1,8,7,4,3,5,2]
[6,2,7,3,8,1,4,5]=>[4,6,7,2,1,3,8,5]
[8,4,2,6,7,1,5,3]=>[2,8,6,3,4,7,5,1]
[1,7,8,3,6,5,2,4]=>[7,8,4,2,6,5,1,3]
[4,6,7,5,1,8,2,3]=>[7,1,2,8,5,4,3,6]
[3,5,2,6,8,7,4,1]=>[2,8,1,4,7,3,6,5]
[7,3,6,8,4,1,2,5]=>[6,7,2,5,3,1,8,4]
[6,4,2,3,7,5,8,1]=>[6,3,2,4,1,5,8,7]
[6,3,7,5,1,2,8,4]=>[8,2,5,1,6,4,3,7]
[7,2,5,4,8,6,3,1]=>[3,8,4,7,2,1,6,5]
[6,2,3,8,7,4,5,1]=>[6,8,7,2,1,3,5,4]
[7,1,2,8,4,6,5,3]=>[8,5,7,6,2,3,1,4]
[3,5,8,1,2,7,6,4]=>[2,8,1,7,4,5,6,3]
[1,4,3,6,8,5,2,7]=>[2,4,7,3,6,8,1,5]
[7,6,2,8,5,3,4,1]=>[6,8,7,3,2,1,5,4]
[6,8,3,5,4,7,2,1]=>[5,3,1,4,8,7,6,2]
[8,2,7,6,4,1,3,5]=>[6,7,5,8,2,4,3,1]
[8,3,7,5,1,6,2,4]=>[7,8,2,5,4,6,3,1]
[8,5,7,1,4,2,6,3]=>[8,6,4,2,5,7,3,1]
[4,8,2,5,6,3,7,1]=>[1,4,6,3,5,8,7,2]
[8,1,5,7,4,6,2,3]=>[3,7,5,8,6,2,4,1]
[4,7,1,5,6,3,2,8]=>[1,4,7,6,3,5,2,8]
[4,5,7,1,6,3,8,2]=>[1,2,6,5,8,4,3,7]
[2,7,1,4,8,3,6,5]=>[8,4,6,7,1,3,2,5]
[2,7,1,5,6,8,4,3]=>[4,5,8,7,1,3,2,6]
[2,3,1,8,7,4,6,5]=>[8,6,7,1,2,5,3,4]
[4,6,8,2,1,5,3,7]=>[1,4,7,5,2,6,8,3]
[5,6,8,4,7,2,3,1]=>[1,2,6,4,8,7,5,3]
[4,5,7,3,6,1,2,8]=>[1,2,6,4,7,5,3,8]
[4,5,8,2,6,1,7,3]=>[1,2,8,4,6,5,7,3]
[3,4,5,7,2,1,6,8]=>[1,2,3,6,5,7,4,8]
[4,5,6,8,3,2,7,1]=>[1,2,3,6,5,8,7,4]
[4,5,7,2,6,1,8,3]=>[1,2,8,4,6,5,3,7]
[4,6,5,7,2,3,8,1]=>[5,1,3,2,6,4,8,7]
[5,2,4,8,6,7,3,1]=>[5,1,8,3,7,2,6,4]
[5,2,6,7,8,1,4,3]=>[3,1,8,6,2,4,7,5]
[4,8,2,7,5,3,1,6]=>[7,1,6,3,5,8,4,2]
[1,2,4,6,5,8,3,7]=>[5,3,4,7,8,1,2,6]
[5,4,2,3,1,7,8,6]=>[3,4,2,1,6,8,5,7]
[3,5,8,1,7,4,2,6]=>[2,7,1,6,8,4,5,3]
[5,8,6,1,7,2,3,4]=>[6,1,7,8,4,3,5,2]
[5,1,4,3,8,2,6,7]=>[4,3,6,1,7,8,2,5]
[8,4,7,5,6,2,1,3]=>[7,2,6,4,8,5,3,1]
[3,8,6,7,5,2,4,1]=>[6,3,8,7,1,5,4,2]
[8,2,5,4,7,3,6,1]=>[4,3,6,8,2,7,5,1]
[4,2,8,7,3,6,5,1]=>[8,1,5,7,6,2,4,3]
[3,7,8,6,1,4,5,2]=>[6,8,5,1,2,7,4,3]
[4,6,7,8,2,1,5,3]=>[5,1,2,8,6,3,7,4]
[4,7,6,3,8,1,5,2]=>[4,8,1,6,3,2,7,5]
[3,8,1,4,6,2,5,7]=>[1,4,6,7,3,5,8,2]
[2,4,5,3,8,7,1,6]=>[2,3,7,8,1,4,6,5]
[4,7,5,6,2,8,1,3]=>[5,1,3,7,4,2,8,6]
[8,7,5,1,6,3,2,4]=>[7,6,8,4,3,5,2,1]
[7,8,6,2,3,5,1,4]=>[4,5,7,1,8,6,3,2]
[2,8,4,6,7,3,5,1]=>[6,3,4,8,7,1,5,2]
[4,1,6,7,8,2,5,3]=>[1,3,8,6,4,7,2,5]
[8,6,3,4,1,2,7,5]=>[3,8,5,4,6,2,7,1]
[2,5,8,4,6,1,3,7]=>[2,6,4,7,1,5,8,3]
[4,7,8,6,5,1,3,2]=>[8,6,1,2,7,5,4,3]
[8,4,6,7,3,5,2,1]=>[5,2,3,8,7,6,4,1]
[6,8,4,7,3,5,2,1]=>[3,1,5,8,7,6,4,2]
[7,4,5,8,3,6,2,1]=>[2,3,5,1,8,7,6,4]
[8,4,7,3,5,6,2,1]=>[2,4,5,8,7,6,3,1]
[3,6,4,2,8,1,7,5]=>[3,8,1,4,2,6,7,5]
[3,4,8,6,2,1,7,5]=>[5,8,1,2,6,4,7,3]
[8,4,6,2,1,7,3,5]=>[4,2,7,8,5,3,6,1]
[3,8,6,2,1,7,4,5]=>[4,7,8,1,5,3,6,2]
[3,1,8,2,4,6,5,7]=>[1,7,4,5,6,8,2,3]
[8,1,7,6,2,5,4,3]=>[8,7,5,6,4,2,3,1]
[8,5,4,3,7,6,1,2]=>[4,3,2,7,8,6,5,1]
[4,8,1,3,6,7,5,2]=>[1,5,8,4,7,3,6,2]
[3,5,8,6,1,7,4,2]=>[8,2,7,1,5,4,6,3]
[8,1,4,7,5,2,6,3]=>[8,3,6,5,7,2,4,1]
[1,4,8,6,7,3,5,2]=>[6,4,8,2,7,5,1,3]
[4,1,6,7,8,5,3,2]=>[1,3,4,8,7,6,2,5]
[3,7,8,6,4,1,5,2]=>[8,6,5,1,2,7,4,3]
[4,6,1,5,7,2,3,8]=>[1,6,4,7,3,2,5,8]
[4,8,5,3,2,7,1,6]=>[5,1,4,3,7,8,6,2]
[5,4,8,1,3,7,2,6]=>[5,2,1,7,8,4,6,3]
[8,4,5,3,1,7,2,6]=>[2,7,4,3,8,5,6,1]
[7,4,5,3,1,8,6,2]=>[2,4,3,8,7,5,1,6]
[5,6,8,7,2,4,3,1]=>[1,2,8,5,7,6,4,3]
[5,7,8,6,4,2,3,1]=>[6,1,2,8,7,5,4,3]
[6,8,7,5,1,3,2,4]=>[7,5,1,6,8,4,3,2]
[3,8,2,6,7,5,1,4]=>[7,4,8,1,3,6,5,2]
[4,7,6,3,8,2,5,1]=>[4,6,1,3,2,8,7,5]
[6,7,4,1,8,2,5,3]=>[8,6,3,1,7,4,2,5]
[5,7,6,8,3,2,4,1]=>[6,1,5,3,2,8,7,4]
[7,6,4,2,8,1,5,3]=>[8,4,3,6,2,1,7,5]
[6,3,4,8,7,1,2,5]=>[2,3,6,1,7,8,5,4]
[2,7,4,8,1,6,3,5]=>[3,7,8,5,1,2,6,4]
[5,3,1,6,7,8,2,4]=>[2,4,1,7,5,8,3,6]
[3,4,7,8,6,1,2,5]=>[6,7,1,2,3,8,5,4]
[2,1,4,7,8,6,3,5]=>[7,4,8,1,3,6,2,5]
[2,4,5,8,1,6,3,7]=>[2,3,7,1,5,6,8,4]
[3,4,6,8,2,5,7,1]=>[5,1,2,3,6,8,7,4]
[1,8,5,6,4,2,3,7]=>[6,3,7,5,4,8,1,2]
[1,8,7,6,2,4,5,3]=>[6,8,5,7,4,3,1,2]
[6,4,8,5,7,3,1,2]=>[7,2,1,4,8,6,5,3]
[1,6,4,7,2,5,8,3]=>[3,6,2,8,5,1,4,7]
[2,7,5,1,8,6,3,4]=>[7,3,8,6,1,4,2,5]
[4,7,1,6,5,3,8,2]=>[6,1,5,4,8,3,2,7]
[1,7,5,6,4,8,2,3]=>[3,7,5,4,2,8,1,6]
[2,4,8,5,7,3,1,6]=>[4,7,2,6,8,1,5,3]
[8,3,1,4,6,2,7,5]=>[2,8,4,6,3,5,7,1]
[7,2,6,4,5,8,1,3]=>[4,7,5,2,3,1,8,6]
[7,2,5,4,6,8,1,3]=>[4,3,7,2,5,1,8,6]
[2,7,1,5,3,8,6,4]=>[4,8,7,1,3,5,2,6]
[3,5,7,2,8,4,1,6]=>[2,7,1,4,6,3,8,5]
[2,4,3,8,5,1,7,6]=>[2,5,8,1,3,6,7,4]
[7,3,2,1,4,8,6,5]=>[2,8,3,7,4,5,1,6]
[2,8,3,4,1,7,6,5]=>[8,3,4,7,1,5,6,2]
[4,7,6,8,2,5,3,1]=>[8,5,1,3,2,7,6,4]
[2,6,7,1,4,5,8,3]=>[5,6,2,8,1,4,3,7]
[8,7,1,6,3,5,2,4]=>[5,7,8,6,3,4,2,1]
[8,7,2,6,1,5,3,4]=>[7,8,3,5,6,4,2,1]
[7,1,3,8,2,6,4,5]=>[7,8,3,5,6,2,1,4]
[6,2,5,3,4,7,1,8]=>[4,5,2,3,1,7,6,8]
[2,7,3,4,1,5,8,6]=>[3,4,8,1,5,6,2,7]
[2,5,8,1,6,7,3,4]=>[2,7,5,8,1,4,6,3]
[6,2,8,3,4,5,1,7]=>[4,5,7,2,1,6,8,3]
[7,3,4,6,8,2,1,5]=>[7,2,3,6,4,1,8,5]
[5,1,3,7,2,8,4,6]=>[7,8,3,1,5,2,4,6]
[5,2,4,6,1,7,8,3]=>[3,6,2,1,4,8,5,7]
[3,8,4,6,1,5,7,2]=>[3,6,8,1,5,4,7,2]
[8,7,3,2,5,1,6,4]=>[3,8,4,6,5,7,2,1]
[3,6,4,1,2,5,8,7]=>[8,1,4,3,5,2,6,7]
[5,2,7,1,4,3,6,8]=>[6,2,4,1,5,7,3,8]
[6,3,1,4,2,5,8,7]=>[4,2,8,3,5,1,6,7]
[5,2,3,1,4,6,8,7]=>[2,3,8,4,1,5,6,7]
[4,2,7,1,3,5,8,6]=>[8,2,1,4,5,6,3,7]
[3,5,4,1,6,2,8,7]=>[5,1,3,2,8,4,6,7]
[4,5,7,2,8,3,1,6]=>[1,2,7,4,6,3,8,5]
[3,5,1,7,6,2,8,4]=>[2,8,1,6,5,3,4,7]
[8,3,6,2,7,5,4,1]=>[8,7,2,4,3,6,5,1]
[8,4,2,6,5,3,7,1]=>[2,6,5,3,4,8,7,1]
[5,4,2,7,1,8,6,3]=>[2,1,8,7,3,5,4,6]
[4,1,7,6,5,3,2,8]=>[7,1,6,5,4,2,3,8]
[2,3,6,7,1,8,5,4]=>[3,8,7,1,2,5,4,6]
[3,6,1,2,7,8,5,4]=>[5,8,1,7,3,2,4,6]
[4,5,1,8,7,6,3,2]=>[8,1,2,7,6,5,3,4]
[8,4,5,2,7,6,3,1]=>[2,3,8,7,4,6,5,1]
[4,1,3,6,7,5,2,8]=>[4,1,7,3,6,2,5,8]
[3,1,4,5,7,6,2,8]=>[1,7,3,4,6,2,5,8]
[4,5,1,3,6,8,7,2]=>[1,8,4,2,5,7,3,6]
[3,8,5,1,2,4,6,7]=>[1,4,5,6,3,7,8,2]
[8,5,1,2,4,3,6,7]=>[6,3,4,5,2,7,8,1]
[5,8,4,1,2,3,6,7]=>[4,5,1,6,3,7,8,2]
[3,5,8,1,4,2,7,6]=>[5,1,2,8,4,6,7,3]
[2,8,5,7,1,4,3,6]=>[7,5,3,6,8,1,4,2]
[4,8,7,5,1,2,3,6]=>[1,5,6,7,4,8,3,2]
[8,1,2,4,6,3,7,5]=>[8,4,6,2,3,5,7,1]
[7,6,1,4,2,3,8,5]=>[8,5,3,4,6,2,1,7]
[6,1,2,7,8,4,3,5]=>[7,6,4,8,2,1,3,5]
[7,8,1,2,5,3,4,6]=>[6,7,3,4,5,1,8,2]
[1,8,4,7,5,2,3,6]=>[3,6,7,5,8,4,1,2]
[8,4,7,2,1,6,3,5]=>[4,2,7,8,5,6,3,1]
[4,5,8,2,1,6,7,3]=>[1,4,2,6,8,5,7,3]
[7,4,2,5,3,6,1,8]=>[5,3,2,4,7,6,1,8]
[3,1,6,7,5,2,4,8]=>[6,1,3,7,5,2,4,8]
[8,4,2,5,3,6,7,1]=>[5,3,2,4,6,8,7,1]
[4,8,1,5,3,6,7,2]=>[1,5,4,6,8,3,7,2]
[4,1,7,5,2,6,3,8]=>[1,7,5,4,6,2,3,8]
[5,1,4,6,3,7,8,2]=>[3,5,4,1,6,8,2,7]
[7,1,5,3,6,8,2,4]=>[7,4,3,5,8,2,1,6]
[8,1,5,3,6,7,2,4]=>[7,4,3,5,8,2,6,1]
[3,6,5,2,4,7,8,1]=>[4,5,1,3,2,6,8,7]
[1,7,5,4,6,8,2,3]=>[4,3,7,5,2,8,1,6]
[4,7,8,2,5,6,1,3]=>[7,1,4,5,2,8,6,3]
[2,8,5,4,6,7,1,3]=>[4,3,7,5,8,1,6,2]
[4,5,2,6,1,8,3,7]=>[1,7,3,2,4,8,5,6]
[5,1,8,6,7,3,4,2]=>[1,6,4,8,7,5,2,3]
[6,8,3,2,4,1,5,7]=>[4,3,6,5,1,7,8,2]
[6,5,2,4,1,7,8,3]=>[6,3,4,2,1,8,5,7]
[5,4,8,2,1,3,6,7]=>[5,4,2,1,6,7,8,3]
[1,4,8,3,2,6,5,7]=>[2,4,7,5,6,8,1,3]
[1,3,8,4,2,7,5,6]=>[4,7,8,2,5,6,1,3]
[7,2,8,3,1,4,5,6]=>[5,2,4,6,7,1,8,3]
[8,1,3,2,7,5,4,6]=>[7,3,6,8,2,4,5,1]
[7,6,1,8,2,5,4,3]=>[8,7,5,6,3,2,1,4]
[8,4,1,6,7,3,5,2]=>[2,6,4,8,7,3,5,1]
[5,8,4,2,1,6,3,7]=>[4,1,7,5,3,6,8,2]
[7,6,4,1,2,5,3,8]=>[7,4,5,3,6,2,1,8]
[5,4,2,8,1,6,3,7]=>[7,3,2,1,5,6,8,4]
[8,7,2,6,4,5,3,1]=>[5,8,7,3,6,4,2,1]
[7,2,8,4,3,6,1,5]=>[5,4,7,8,2,1,6,3]
[1,7,5,4,8,6,2,3]=>[4,3,7,2,8,6,1,5]
[4,8,6,3,5,2,1,7]=>[4,7,1,6,5,3,8,2]
[5,8,6,3,2,7,1,4]=>[1,5,4,7,3,8,6,2]
[5,7,6,3,2,4,8,1]=>[1,5,4,6,3,2,8,7]
[5,7,3,2,8,6,4,1]=>[1,8,3,7,4,2,6,5]
[4,5,1,6,8,2,7,3]=>[1,4,2,8,6,7,3,5]
[1,6,3,7,2,4,8,5]=>[8,3,5,2,6,1,4,7]
[4,3,7,1,6,2,5,8]=>[2,1,6,7,4,5,3,8]
[4,3,1,6,7,2,5,8]=>[2,1,6,4,7,3,5,8]
[6,3,1,5,7,2,4,8]=>[2,6,4,7,3,1,5,8]
[5,2,1,4,8,6,7,3]=>[6,8,2,1,4,7,3,5]
[4,5,2,1,3,7,6,8]=>[3,1,7,4,2,5,6,8]
[8,2,7,4,1,6,5,3]=>[4,8,7,2,5,6,3,1]
[3,2,8,4,1,6,5,7]=>[1,4,7,2,5,6,8,3]
[3,7,6,4,1,5,8,2]=>[6,4,8,1,5,3,2,7]
[7,1,6,5,4,2,8,3]=>[8,6,5,4,2,3,1,7]
[7,1,8,4,2,3,6,5]=>[8,5,4,6,7,2,1,3]
[2,7,6,4,5,1,8,3]=>[4,8,6,5,1,3,2,7]
[4,6,8,1,7,3,5,2]=>[6,1,2,8,7,4,5,3]
[3,6,8,1,5,7,4,2]=>[5,2,8,1,7,4,6,3]
[4,5,6,8,2,1,7,3]=>[1,2,5,3,8,6,7,4]
[4,5,6,8,1,3,7,2]=>[1,2,6,3,8,5,7,4]
[4,5,8,3,2,1,7,6]=>[1,2,5,4,8,6,7,3]
[4,5,1,3,2,6,7,8]=>[5,3,1,4,2,6,7,8]
[4,7,3,2,1,6,5,8]=>[1,4,3,7,5,6,2,8]
[4,7,8,3,5,1,6,2]=>[4,8,1,6,5,2,7,3]
[4,7,1,3,5,6,2,8]=>[4,1,5,7,3,6,2,8]
[4,8,3,2,1,6,7,5]=>[1,4,3,6,8,5,7,2]
[5,2,8,1,4,6,7,3]=>[5,6,1,8,2,4,7,3]
[5,6,3,7,8,1,4,2]=>[1,8,3,2,6,4,7,5]
[5,7,1,4,3,6,2,8]=>[5,4,1,7,3,6,2,8]
[6,2,3,7,1,5,4,8]=>[7,2,3,5,1,6,4,8]
[6,2,8,1,5,4,7,3]=>[6,5,8,2,1,4,7,3]
[6,1,3,4,5,2,7,8]=>[3,4,6,2,5,1,7,8]
[7,1,3,4,5,6,2,8]=>[3,4,5,7,2,6,1,8]
[7,2,5,1,3,6,4,8]=>[7,2,4,5,3,6,1,8]
[6,5,2,7,8,4,3,1]=>[4,2,1,8,7,3,6,5]
[7,5,3,6,4,2,1,8]=>[7,3,2,6,5,4,1,8]
[2,3,6,5,8,4,7,1]=>[4,3,6,8,1,2,7,5]
[1,3,6,7,5,2,4,8]=>[6,3,7,2,5,1,4,8]
[1,5,2,6,8,7,3,4]=>[4,2,7,8,6,1,3,5]
[5,3,4,7,2,1,6,8]=>[2,3,1,6,5,7,4,8]
[4,8,5,7,1,2,3,6]=>[1,5,6,3,7,8,4,2]
[4,2,3,7,6,1,8,5]=>[1,8,6,2,3,5,4,7]
[4,2,6,3,1,5,7,8]=>[5,2,1,4,6,3,7,8]
[4,6,3,2,5,8,7,1]=>[1,3,8,4,2,5,7,6]
[5,8,4,3,2,6,1,7]=>[1,5,4,3,7,6,8,2]
[1,5,7,4,8,6,2,3]=>[2,4,7,3,8,6,1,5]
[6,1,5,7,3,8,2,4]=>[5,3,7,4,1,8,2,6]
[1,2,7,8,6,4,3,5]=>[7,6,3,8,5,1,2,4]
[3,5,1,7,8,6,2,4]=>[2,7,1,4,8,6,3,5]
[5,2,4,1,7,6,8,3]=>[3,6,2,1,5,8,4,7]
[5,4,3,8,1,7,2,6]=>[3,2,1,7,8,5,6,4]
[7,3,1,5,6,8,4,2]=>[2,4,5,8,7,3,1,6]
[7,2,3,1,6,8,4,5]=>[7,2,3,5,8,4,1,6]
[4,1,8,2,5,6,3,7]=>[5,1,7,4,6,8,2,3]
[5,7,8,1,6,2,3,4]=>[6,1,7,8,4,2,5,3]
[1,6,4,2,7,3,8,5]=>[3,8,6,4,1,2,5,7]
[1,4,2,5,8,6,3,7]=>[2,7,4,6,8,1,3,5]
[4,8,2,1,5,7,3,6]=>[3,1,5,7,8,4,6,2]
[5,2,7,1,6,3,4,8]=>[6,7,2,1,4,5,3,8]
[4,8,2,5,1,6,3,7]=>[1,7,3,5,4,6,8,2]
[5,8,1,2,4,6,3,7]=>[5,7,3,1,4,6,8,2]
[5,1,7,3,6,4,2,8]=>[7,4,1,6,5,2,3,8]
[3,2,7,5,6,1,4,8]=>[6,1,4,7,2,5,3,8]
[3,2,7,1,6,4,5,8]=>[1,6,7,2,4,5,3,8]
[6,3,1,7,5,4,2,8]=>[7,2,6,5,3,1,4,8]
[6,2,8,7,3,4,5,1]=>[5,6,1,8,7,2,4,3]
[7,3,4,8,5,6,2,1]=>[5,8,2,3,1,7,6,4]
[7,3,6,8,4,5,2,1]=>[5,3,8,2,1,7,6,4]
[5,6,2,8,3,1,7,4]=>[5,1,8,3,2,6,7,4]
[1,7,4,8,3,5,6,2]=>[3,5,6,2,8,7,1,4]
[5,3,1,4,8,6,2,7]=>[2,7,4,1,6,8,3,5]
[5,2,4,8,3,1,6,7]=>[3,6,2,1,5,7,8,4]
[8,7,3,5,4,1,6,2]=>[8,3,6,5,4,7,2,1]
[7,4,5,1,8,6,2,3]=>[2,7,3,8,6,4,1,5]
[8,1,5,7,6,3,2,4]=>[3,7,6,8,5,2,4,1]
[1,8,6,7,5,3,2,4]=>[7,6,3,8,5,4,1,2]
[7,4,8,3,1,6,5,2]=>[2,4,8,7,5,1,6,3]
[8,1,5,3,7,6,2,4]=>[7,3,8,4,6,2,5,1]
[6,4,8,7,3,5,1,2]=>[7,2,1,5,8,6,4,3]
[6,1,4,2,3,5,7,8]=>[4,5,2,3,6,1,7,8]
[6,5,1,8,3,7,4,2]=>[8,5,2,1,7,6,3,4]
[7,1,4,3,8,6,5,2]=>[8,3,7,4,6,2,1,5]
[8,5,4,1,7,3,2,6]=>[7,6,3,2,8,4,5,1]
[4,5,3,8,1,7,6,2]=>[1,2,8,3,7,5,6,4]
[4,7,6,3,2,8,5,1]=>[4,8,1,5,3,2,7,6]
[5,7,6,3,8,2,4,1]=>[1,4,6,3,2,8,7,5]
[6,8,4,7,1,2,5,3]=>[8,5,3,1,6,7,4,2]
[1,3,7,6,8,4,5,2]=>[6,4,3,8,2,7,1,5]
[6,1,5,7,2,8,3,4]=>[7,3,8,5,2,1,4,6]
[1,8,7,2,5,6,3,4]=>[7,5,8,4,6,3,1,2]
[1,8,2,6,7,4,3,5]=>[7,6,4,8,3,5,1,2]
[2,5,4,8,7,6,1,3]=>[2,7,8,3,6,1,5,4]
[1,8,7,6,3,5,4,2]=>[8,5,7,6,4,3,1,2]
[1,8,5,7,6,4,3,2]=>[8,3,7,6,5,4,1,2]
[7,2,4,1,8,5,3,6]=>[3,7,2,6,8,4,1,5]
[7,3,2,1,4,6,8,5]=>[3,2,6,8,4,5,1,7]
[4,7,2,6,1,8,3,5]=>[1,7,8,3,5,4,2,6]
[8,7,3,5,2,1,6,4]=>[3,5,8,6,4,7,2,1]
[7,5,3,2,1,6,8,4]=>[4,3,6,2,8,5,1,7]
[6,8,1,3,4,2,5,7]=>[4,6,3,5,1,7,8,2]
[3,6,1,4,7,8,2,5]=>[7,1,4,5,2,8,3,6]
[2,5,7,1,3,6,4,8]=>[7,4,1,2,5,6,3,8]
[1,4,7,2,5,3,6,8]=>[2,6,4,5,7,1,3,8]
[4,5,3,1,2,6,8,7]=>[1,8,4,3,2,5,6,7]
[4,5,1,3,8,2,6,7]=>[4,1,6,2,7,8,3,5]
[4,1,5,3,2,7,6,8]=>[4,3,1,7,2,5,6,8]
[7,3,5,1,4,2,6,8]=>[2,6,4,5,3,7,1,8]
[6,2,1,7,4,3,8,5]=>[5,8,2,6,3,1,4,7]
[2,4,3,6,7,1,5,8]=>[2,6,1,3,4,7,5,8]
[7,3,5,2,1,6,4,8]=>[2,4,7,5,3,6,1,8]
[4,6,5,2,1,3,7,8]=>[1,5,4,6,3,2,7,8]
[2,5,6,1,4,3,7,8]=>[6,4,1,2,5,3,7,8]
[6,1,5,3,7,2,4,8]=>[4,6,3,7,2,1,5,8]
[3,6,5,4,1,7,2,8]=>[7,5,1,4,3,2,6,8]
[6,8,7,5,4,2,1,3]=>[1,7,6,8,5,4,3,2]
[1,6,8,7,3,2,4,5]=>[6,5,2,7,8,4,1,3]
[8,7,5,4,6,1,3,2]=>[8,6,4,3,7,5,2,1]
[1,7,8,2,4,6,3,5]=>[5,7,8,4,2,6,1,3]
[7,5,4,8,1,3,6,2]=>[6,3,2,8,5,1,7,4]
[5,6,1,8,4,3,7,2]=>[1,6,5,2,8,7,3,4]
[1,8,2,6,7,5,4,3]=>[4,8,7,6,3,5,1,2]
[2,7,5,1,6,8,3,4]=>[7,5,3,8,1,4,2,6]
[8,5,4,2,7,3,6,1]=>[6,3,2,8,4,7,5,1]
[3,8,6,1,2,4,5,7]=>[1,4,5,6,7,3,8,2]
[1,8,5,3,2,7,4,6]=>[4,7,3,8,5,6,1,2]
[1,8,4,7,2,3,5,6]=>[5,3,6,7,8,4,1,2]
[7,1,5,6,2,3,4,8]=>[5,6,3,7,2,4,1,8]
[6,5,1,7,2,3,4,8]=>[5,6,7,3,2,1,4,8]
[1,6,8,2,7,3,4,5]=>[6,7,2,8,4,5,1,3]
[1,6,8,7,3,4,2,5]=>[5,2,7,6,8,4,1,3]
[4,1,3,6,7,8,5,2]=>[4,1,5,8,3,7,2,6]
[7,4,1,5,6,8,3,2]=>[4,2,5,8,7,3,1,6]
[4,1,2,6,7,8,5,3]=>[4,1,5,8,7,2,3,6]
[3,7,8,2,1,4,5,6]=>[5,1,4,6,7,2,8,3]
[6,3,7,1,8,2,4,5]=>[2,6,7,1,8,4,3,5]
[3,7,8,1,5,2,6,4]=>[8,6,1,4,5,2,7,3]
[1,5,4,7,8,3,6,2]=>[2,6,3,4,8,7,1,5]
[5,2,4,7,8,3,6,1]=>[6,3,1,4,8,2,7,5]
[5,1,4,7,8,3,6,2]=>[6,3,1,4,8,7,2,5]
[4,8,1,5,6,2,3,7]=>[1,6,4,7,3,5,8,2]
[5,6,4,1,7,3,8,2]=>[1,6,5,3,2,8,4,7]
[4,3,7,8,2,5,1,6]=>[1,5,7,2,6,3,8,4]
[3,7,8,5,4,2,1,6]=>[7,6,5,1,4,2,8,3]
[1,7,4,5,6,8,3,2]=>[3,4,5,2,8,7,1,6]
[7,2,4,5,6,8,3,1]=>[3,4,5,8,2,1,7,6]
[2,7,4,5,6,8,3,1]=>[3,4,5,2,8,1,7,6]
[2,4,7,8,3,1,6,5]=>[5,8,2,6,1,3,7,4]
[5,4,3,6,8,1,7,2]=>[3,2,1,4,8,6,7,5]
[3,7,4,5,8,1,6,2]=>[3,4,8,1,6,2,7,5]
[1,4,3,5,6,8,2,7]=>[3,2,4,5,7,8,1,6]
[1,4,6,5,8,2,7,3]=>[4,2,3,8,6,7,1,5]
[4,6,1,7,3,2,8,5]=>[1,5,8,6,3,2,4,7]
[1,7,3,6,4,2,8,5]=>[5,8,3,6,4,1,2,7]
[4,7,3,5,1,2,8,6]=>[1,3,8,5,4,6,2,7]
[1,6,4,2,3,5,8,7]=>[8,4,3,5,1,2,6,7]
[4,8,3,5,2,1,6,7]=>[1,3,6,5,4,7,8,2]
[1,6,8,4,7,5,3,2]=>[2,8,4,7,6,5,1,3]
[8,7,3,1,5,2,6,4]=>[3,8,6,4,5,7,2,1]
[4,7,1,6,8,2,3,5]=>[1,6,7,4,8,3,2,5]
[4,6,5,8,2,3,7,1]=>[5,1,3,2,6,8,7,4]
[7,1,8,2,4,5,3,6]=>[5,7,4,6,8,2,1,3]
[5,7,8,2,3,4,1,6]=>[4,1,5,7,6,2,8,3]
[5,2,3,8,7,1,4,6]=>[6,7,1,8,2,3,5,4]
[8,7,1,3,2,6,4,5]=>[4,7,8,3,5,6,2,1]
[2,7,6,4,8,3,1,5]=>[4,7,6,3,1,2,8,5]
[2,6,3,7,5,8,4,1]=>[5,4,2,8,1,3,7,6]
[7,5,1,2,3,8,4,6]=>[7,8,3,4,2,5,1,6]
[8,6,2,1,3,7,4,5]=>[3,7,8,4,5,2,6,1]
[4,2,3,6,8,5,7,1]=>[4,1,6,8,2,3,7,5]
[4,7,3,2,6,5,1,8]=>[1,3,7,4,6,5,2,8]
[4,3,7,8,2,1,6,5]=>[1,5,8,2,6,3,7,4]
[4,8,7,2,1,5,6,3]=>[1,4,6,8,5,7,3,2]
[7,3,8,2,5,1,6,4]=>[8,2,4,6,5,1,7,3]
[4,5,3,8,6,1,2,7]=>[1,3,2,6,7,5,8,4]
[6,3,5,8,4,1,2,7]=>[6,2,3,1,7,5,8,4]
[7,3,8,4,5,1,2,6]=>[6,2,4,7,5,1,8,3]
[4,8,7,5,1,2,6,3]=>[8,1,5,6,4,7,3,2]
[7,8,4,6,1,3,5,2]=>[6,3,8,5,1,7,4,2]
[4,8,7,5,1,3,6,2]=>[6,8,1,5,4,7,3,2]
[4,5,3,6,8,1,2,7]=>[1,3,2,6,4,7,8,5]
[7,8,6,2,1,4,3,5]=>[4,7,5,6,1,8,3,2]
[7,8,6,3,1,2,5,4]=>[8,5,4,6,1,7,3,2]
[3,7,6,4,1,5,2,8]=>[7,5,1,4,6,3,2,8]
[7,3,1,2,8,6,5,4]=>[8,2,7,6,3,4,1,5]
[8,7,1,3,2,4,5,6]=>[5,3,4,6,7,8,2,1]
[4,1,3,6,5,7,2,8]=>[5,3,1,4,7,2,6,8]
[4,1,3,5,7,2,8,6]=>[8,3,1,4,6,2,5,7]
[5,1,8,2,4,6,3,7]=>[5,7,4,1,6,8,2,3]
[6,8,2,1,4,5,3,7]=>[3,5,7,4,1,6,8,2]
[4,2,7,3,6,8,5,1]=>[1,5,8,4,2,3,7,6]
[3,1,5,8,6,7,2,4]=>[7,1,3,5,8,6,2,4]
[6,8,2,1,4,5,7,3]=>[3,5,6,1,8,4,7,2]
[1,5,4,8,7,3,2,6]=>[2,7,3,6,8,5,1,4]
[4,3,1,2,6,5,7,8]=>[6,3,2,1,4,5,7,8]
[7,1,4,5,8,3,6,2]=>[3,4,6,8,7,2,1,5]
[7,5,8,1,2,4,6,3]=>[6,8,4,2,5,1,7,3]
[6,1,5,2,8,7,4,3]=>[3,8,7,6,2,1,4,5]
[8,4,6,3,1,2,7,5]=>[2,8,5,4,6,3,7,1]
[3,8,6,4,1,5,7,2]=>[6,4,8,1,5,3,7,2]
[8,7,1,4,5,2,3,6]=>[6,4,7,3,5,8,2,1]
[3,8,6,4,5,1,7,2]=>[4,8,6,1,5,3,7,2]
[3,7,6,4,5,1,2,8]=>[6,4,7,1,5,3,2,8]
[7,4,6,3,1,2,8,5]=>[2,8,5,4,6,3,1,7]
[4,6,2,5,7,8,1,3]=>[1,4,7,3,2,5,8,6]
[4,6,3,5,7,1,2,8]=>[1,3,6,4,2,7,5,8]
[4,7,3,5,8,6,1,2]=>[1,3,4,7,2,8,6,5]
[4,8,3,5,7,1,6,2]=>[1,3,4,8,6,7,5,2]
[4,8,3,5,6,1,2,7]=>[1,3,6,4,7,5,8,2]
[4,7,2,5,6,8,1,3]=>[1,4,7,3,5,2,8,6]
[4,8,2,5,6,7,1,3]=>[1,4,7,3,5,8,6,2]
[1,4,7,2,6,5,8,3]=>[6,2,5,8,4,1,3,7]
[1,5,7,2,6,4,8,3]=>[2,6,5,8,4,1,3,7]
[7,2,4,6,1,8,3,5]=>[3,7,8,2,5,4,1,6]
[1,2,7,8,3,5,4,6]=>[7,5,6,3,8,1,2,4]
[1,7,6,2,8,5,4,3]=>[8,7,6,4,3,1,2,5]
[1,2,7,8,3,4,6,5]=>[8,5,6,3,7,1,2,4]
[1,7,6,8,3,4,2,5]=>[5,7,6,3,2,8,1,4]
[2,4,8,6,5,7,1,3]=>[7,5,2,4,8,1,6,3]
[8,2,1,5,6,4,7,3]=>[4,6,2,5,8,3,7,1]
[3,2,7,5,8,6,4,1]=>[8,4,1,3,7,2,6,5]
[8,4,7,3,1,2,6,5]=>[2,8,5,4,6,7,3,1]
[1,8,7,3,5,2,6,4]=>[8,4,6,5,7,3,1,2]
[2,4,8,3,6,5,7,1]=>[6,2,4,5,8,1,7,3]
[3,1,8,2,6,5,7,4]=>[6,1,5,8,4,7,2,3]
[4,6,7,8,5,2,1,3]=>[2,7,1,6,3,8,5,4]
[4,7,2,1,8,6,5,3]=>[8,1,7,3,6,4,2,5]
[5,6,2,8,4,1,7,3]=>[1,8,6,3,2,5,7,4]
[5,7,2,4,8,6,1,3]=>[4,1,7,8,3,2,6,5]
[6,7,2,4,8,5,1,3]=>[4,7,1,8,3,2,6,5]
[6,7,3,2,8,5,1,4]=>[3,7,1,8,4,2,6,5]
[7,2,3,1,8,6,5,4]=>[8,7,2,3,6,4,1,5]
[7,2,8,3,5,6,1,4]=>[7,4,5,8,2,1,6,3]
[7,2,3,8,4,6,1,5]=>[5,7,8,2,3,1,6,4]
[1,7,3,4,8,5,2,6]=>[7,3,4,6,2,8,1,5]
[1,7,3,8,5,4,2,6]=>[7,6,3,5,2,8,1,4]
[7,2,8,4,5,3,1,6]=>[4,7,6,2,5,1,8,3]
[2,8,6,4,3,1,7,5]=>[5,4,8,6,1,3,7,2]
[1,7,3,4,8,2,5,6]=>[3,4,6,7,2,8,1,5]
[1,5,8,3,4,6,2,7]=>[4,2,5,7,6,8,1,3]
[1,3,8,4,2,5,7,6]=>[4,8,2,5,6,7,1,3]
[1,4,7,6,2,3,8,5]=>[8,2,5,6,4,1,3,7]
[1,8,4,6,7,2,3,5]=>[3,6,7,4,8,5,1,2]
[1,4,2,3,7,8,6,5]=>[2,5,8,7,1,3,4,6]
[5,7,1,6,4,8,3,2]=>[1,5,4,8,7,3,2,6]
[7,4,5,8,1,3,6,2]=>[2,6,3,8,5,1,7,4]
[1,4,3,6,2,5,8,7]=>[2,8,3,5,1,4,6,7]
[1,4,6,3,2,5,8,7]=>[2,4,8,5,1,3,6,7]
[1,3,6,5,8,2,4,7]=>[6,4,2,3,7,8,1,5]
[1,4,6,3,2,8,5,7]=>[2,4,7,3,8,1,5,6]
[6,8,4,1,5,7,2,3]=>[7,5,3,1,8,4,6,2]
[5,2,6,7,4,1,8,3]=>[3,1,8,6,2,5,4,7]
[8,5,6,4,1,7,3,2]=>[2,8,7,5,4,3,6,1]
[7,8,3,1,6,4,5,2]=>[3,6,8,7,4,1,5,2]
[5,8,2,6,3,1,7,4]=>[5,1,8,3,6,4,7,2]
[4,5,8,1,6,3,7,2]=>[1,2,6,5,8,4,7,3]
[8,1,4,6,2,5,7,3]=>[3,6,8,5,2,4,7,1]
[4,5,8,1,6,2,7,3]=>[1,2,8,6,4,5,7,3]
[5,2,6,8,1,4,3,7]=>[7,5,2,1,3,6,8,4]
[6,7,3,8,2,1,4,5]=>[3,6,5,1,7,2,8,4]
[2,7,3,5,4,1,8,6]=>[5,3,4,8,1,6,2,7]
[2,6,3,7,4,1,8,5]=>[5,8,3,1,2,6,4,7]
[2,1,4,8,5,3,7,6]=>[5,8,1,3,6,7,2,4]
[2,7,3,8,4,1,6,5]=>[5,8,3,6,1,2,7,4]
[2,6,3,1,5,4,8,7]=>[3,5,8,1,4,2,6,7]
[1,5,8,3,4,7,2,6]=>[4,2,5,7,8,6,1,3]
[5,3,8,1,4,6,2,7]=>[2,5,1,7,4,6,8,3]
[4,5,8,1,3,6,2,7]=>[1,5,2,7,4,6,8,3]
[7,4,6,5,2,8,3,1]=>[8,2,5,4,3,1,7,6]
[4,1,3,8,5,7,6,2]=>[1,8,5,7,3,6,2,4]
[4,1,3,7,2,8,6,5]=>[1,8,7,3,5,2,4,6]
[4,6,3,1,7,2,8,5]=>[1,3,8,6,4,2,5,7]
[7,2,6,3,1,8,5,4]=>[8,4,7,2,5,3,1,6]
[4,8,7,2,5,3,1,6]=>[7,1,4,6,5,8,3,2]
[1,6,3,2,8,7,4,5]=>[7,8,3,2,6,1,4,5]
[2,8,1,7,5,4,6,3]=>[6,5,8,7,1,3,4,2]
[6,8,3,1,5,7,2,4]=>[3,7,5,1,8,4,6,2]
[8,7,3,1,2,5,6,4]=>[6,3,8,4,5,7,2,1]
[7,4,5,1,2,6,8,3]=>[6,2,8,4,3,5,1,7]
[5,1,2,6,4,7,8,3]=>[5,4,6,1,8,2,3,7]
[1,8,4,5,6,3,2,7]=>[3,4,7,6,5,8,1,2]
[4,7,6,1,5,8,2,3]=>[7,1,5,8,4,3,2,6]
[8,5,1,7,4,6,3,2]=>[5,2,8,7,6,3,4,1]
[3,4,8,1,6,7,2,5]=>[7,1,2,5,8,4,6,3]
[3,6,7,8,4,1,5,2]=>[2,8,6,1,5,3,7,4]
[2,3,7,8,4,6,1,5]=>[5,7,3,8,1,2,6,4]
[1,3,7,8,4,6,2,5]=>[5,7,3,8,2,6,1,4]
[3,1,7,8,4,6,2,5]=>[5,7,1,3,8,6,2,4]
[4,3,8,1,6,7,2,5]=>[1,7,2,5,8,4,6,3]
[4,8,7,3,6,1,2,5]=>[6,1,4,7,8,5,3,2]
[5,8,4,3,7,1,2,6]=>[1,6,4,3,7,8,5,2]
[4,1,8,3,7,5,2,6]=>[1,7,4,6,8,5,2,3]
[2,4,8,3,6,7,1,5]=>[7,2,4,5,8,1,6,3]
[1,6,5,8,7,3,2,4]=>[3,2,7,6,8,5,1,4]
[5,6,4,8,7,2,1,3]=>[1,3,2,7,6,8,5,4]
[7,2,6,8,3,5,1,4]=>[5,7,3,8,2,1,6,4]
[7,2,8,6,5,3,1,4]=>[7,6,8,5,2,1,4,3]
[4,8,3,7,6,1,2,5]=>[1,3,6,7,8,5,4,2]
[2,8,4,7,1,3,6,5]=>[3,8,5,6,7,1,4,2]
[6,8,3,4,5,2,1,7]=>[3,4,1,7,6,5,8,2]
[3,7,1,4,5,6,2,8]=>[1,4,5,7,3,6,2,8]
[3,6,1,4,5,2,7,8]=>[1,4,6,3,5,2,7,8]
[3,8,2,4,5,1,7,6]=>[1,3,4,5,8,6,7,2]
[3,7,2,1,5,6,4,8]=>[1,3,5,7,4,6,2,8]
[3,6,8,1,5,4,7,2]=>[6,5,1,2,8,4,7,3]
[1,7,4,6,3,5,2,8]=>[3,5,7,6,4,1,2,8]
[1,3,6,5,7,2,4,8]=>[6,4,2,3,7,1,5,8]
[1,7,2,5,6,4,3,8]=>[4,7,6,3,5,1,2,8]
[1,6,8,5,4,3,7,2]=>[2,6,5,4,8,7,1,3]
[2,5,7,8,4,3,1,6]=>[7,2,6,5,1,3,8,4]
[6,8,5,3,2,4,1,7]=>[5,4,1,7,6,3,8,2]
[1,6,8,5,3,2,7,4]=>[5,2,8,6,4,7,1,3]
[4,6,1,8,7,5,3,2]=>[2,8,1,7,6,5,3,4]
[1,3,7,6,8,5,2,4]=>[7,4,3,8,2,6,1,5]
[4,1,7,8,6,5,2,3]=>[7,1,3,8,6,5,2,4]
[5,4,3,7,6,1,2,8]=>[3,2,1,6,7,5,4,8]
[4,7,6,1,2,3,8,5]=>[1,8,4,5,6,3,2,7]
[4,5,2,6,7,8,1,3]=>[1,4,2,7,3,5,8,6]
[1,7,6,2,3,8,5,4]=>[8,7,4,5,3,1,2,6]
[4,5,1,3,7,6,2,8]=>[1,7,4,2,6,3,5,8]
[7,2,3,8,6,4,5,1]=>[6,8,7,2,3,1,5,4]
[1,5,4,3,8,6,2,7]=>[3,2,7,4,6,8,1,5]
[1,3,7,5,8,4,6,2]=>[4,6,3,8,2,7,1,5]
[7,8,1,5,3,4,6,2]=>[5,6,4,8,3,1,7,2]
[7,3,5,4,1,6,2,8]=>[7,2,5,4,3,6,1,8]
[3,5,7,1,6,4,2,8]=>[2,7,1,6,4,5,3,8]
[3,7,5,6,1,4,2,8]=>[7,5,1,3,6,4,2,8]
[1,7,5,6,3,4,8,2]=>[5,3,6,4,2,8,1,7]
[5,3,1,2,7,8,4,6]=>[2,7,5,1,8,3,4,6]
[5,1,3,7,8,2,6,4]=>[8,6,3,1,4,7,2,5]
[5,8,1,2,7,6,4,3]=>[1,8,7,6,3,4,5,2]
[1,6,7,4,5,3,2,8]=>[4,2,7,6,5,1,3,8]
[1,4,2,6,7,5,3,8]=>[2,4,7,6,1,3,5,8]
[1,8,2,4,6,5,3,7]=>[7,4,6,3,5,8,1,2]
[7,2,1,6,4,3,8,5]=>[5,8,2,6,3,4,1,7]
[1,4,8,7,2,3,6,5]=>[8,2,5,6,7,4,1,3]
[4,1,3,6,5,8,2,7]=>[5,3,1,4,7,8,2,6]
[4,3,7,1,5,8,2,6]=>[2,1,5,7,8,4,3,6]
[1,8,6,5,2,7,4,3]=>[8,7,5,4,3,6,1,2]
[1,8,6,2,7,4,3,5]=>[7,6,8,4,3,5,1,2]
[7,2,6,4,1,8,5,3]=>[4,8,7,2,5,3,1,6]
[6,4,1,8,3,7,5,2]=>[2,8,5,1,7,6,3,4]
[4,5,8,7,3,6,2,1]=>[5,8,1,2,7,6,4,3]
[3,5,4,1,7,8,6,2]=>[3,1,2,5,8,7,4,6]
[6,8,7,2,1,5,4,3]=>[8,4,1,7,5,6,3,2]
[8,1,6,3,7,5,4,2]=>[8,7,4,3,6,2,5,1]
[8,5,1,3,7,6,4,2]=>[8,7,4,2,6,3,5,1]
[8,3,6,5,4,2,1,7]=>[7,6,2,5,4,3,8,1]
[6,1,3,5,7,2,8,4]=>[4,8,3,6,2,1,5,7]
[2,8,1,5,6,4,3,7]=>[4,7,6,1,3,5,8,2]
[1,6,7,5,8,4,2,3]=>[2,7,4,3,8,6,1,5]
[7,4,1,6,5,2,8,3]=>[2,8,6,5,3,4,1,7]
[7,4,2,8,6,5,3,1]=>[8,2,7,6,3,1,5,4]
[6,8,4,7,3,2,5,1]=>[3,1,6,5,8,7,4,2]
[5,8,7,3,2,1,6,4]=>[1,5,4,8,6,7,3,2]
[5,8,7,2,6,4,3,1]=>[8,1,7,4,6,5,3,2]
[6,8,7,3,5,1,4,2]=>[4,1,8,6,7,5,3,2]
[7,2,5,6,8,3,4,1]=>[3,6,4,8,2,1,7,5]
[1,6,5,7,8,3,2,4]=>[3,2,7,6,4,8,1,5]
[8,6,7,2,3,5,4,1]=>[8,4,5,2,7,6,3,1]
[5,4,8,6,7,3,1,2]=>[1,7,2,4,8,6,5,3]
[4,2,7,3,1,6,8,5]=>[4,1,6,8,2,5,3,7]
[7,3,6,4,2,1,8,5]=>[5,2,4,8,6,3,1,7]
[4,8,5,2,7,3,1,6]=>[7,1,4,3,6,8,5,2]
[6,4,3,1,8,5,2,7]=>[3,2,7,6,1,8,4,5]
[7,4,3,1,5,8,6,2]=>[3,2,8,5,7,4,1,6]
[7,4,8,6,5,3,1,2]=>[7,8,2,1,6,5,4,3]
[4,8,5,2,6,7,3,1]=>[5,1,3,8,4,7,6,2]
[7,3,2,1,8,5,6,4]=>[2,6,8,3,7,4,1,5]
[1,5,7,2,4,3,8,6]=>[5,2,8,4,6,1,3,7]
[1,2,7,5,8,4,3,6]=>[4,7,6,3,8,1,2,5]
[5,1,3,8,2,7,4,6]=>[7,8,3,1,5,6,2,4]
[5,7,1,3,2,8,4,6]=>[4,7,1,8,3,5,2,6]
[7,1,6,3,2,8,4,5]=>[4,7,8,5,2,3,1,6]
[8,1,7,2,3,6,5,4]=>[8,7,4,5,6,2,3,1]
[7,1,2,6,4,3,8,5]=>[5,8,6,2,3,4,1,7]
[1,4,7,8,3,2,5,6]=>[6,2,5,7,3,8,1,4]
[8,7,1,3,2,4,6,5]=>[4,8,3,5,6,7,2,1]
[8,1,6,3,2,4,7,5]=>[4,8,5,6,2,3,7,1]
[1,8,2,7,6,3,5,4]=>[8,6,7,5,3,4,1,2]
[8,1,6,3,2,7,4,5]=>[4,7,8,5,2,3,6,1]
[8,2,1,7,6,3,4,5]=>[6,7,8,2,5,3,4,1]
[6,8,4,3,5,1,2,7]=>[6,4,3,1,7,5,8,2]
[8,7,3,5,4,1,2,6]=>[3,6,7,5,4,8,2,1]
[6,3,8,5,7,2,1,4]=>[7,6,2,1,4,8,5,3]
[8,7,3,6,4,1,2,5]=>[3,6,7,5,8,4,2,1]
[5,2,7,4,6,1,3,8]=>[6,4,1,7,2,5,3,8]
[8,7,2,3,5,1,4,6]=>[3,4,6,7,5,8,2,1]
[7,6,3,4,1,8,2,5]=>[3,7,4,8,5,2,1,6]
[6,3,5,2,8,1,4,7]=>[2,4,6,3,1,7,8,5]
[6,4,5,3,1,7,2,8]=>[2,7,5,4,3,1,6,8]
[8,7,2,4,3,1,5,6]=>[6,3,5,4,7,8,2,1]
[7,6,2,3,1,4,8,5]=>[3,4,8,5,6,2,1,7]
[4,7,6,2,3,1,5,8]=>[1,4,6,5,7,3,2,8]
[4,7,6,1,3,2,8,5]=>[1,5,8,4,6,3,2,7]
[2,8,1,3,5,6,4,7]=>[5,7,1,3,4,6,8,2]
[2,6,3,4,7,8,5,1]=>[5,8,3,1,2,4,7,6]
[7,6,3,1,8,5,2,4]=>[3,7,8,6,4,2,1,5]
[7,2,1,3,6,8,5,4]=>[5,8,2,7,3,4,1,6]
[7,6,3,8,1,5,2,4]=>[3,7,8,5,2,1,6,4]
[1,6,4,7,8,5,3,2]=>[4,2,8,3,7,6,1,5]
[7,2,5,8,6,1,3,4]=>[6,3,7,8,2,1,5,4]
[4,1,3,6,2,5,8,7]=>[8,3,1,5,2,4,6,7]
[7,1,4,6,3,2,5,8]=>[3,6,5,7,2,4,1,8]
[7,4,5,8,6,2,3,1]=>[2,3,6,1,8,7,5,4]
[6,7,2,3,8,4,1,5]=>[7,3,4,1,6,2,8,5]
[2,7,8,1,5,4,3,6]=>[7,6,4,5,1,2,8,3]
[1,5,2,6,8,7,4,3]=>[2,8,4,7,6,1,3,5]
[1,8,3,7,5,2,6,4]=>[8,6,3,5,7,4,1,2]
[8,1,3,6,5,2,7,4]=>[8,6,3,5,2,4,7,1]
[7,1,3,8,5,2,6,4]=>[8,6,3,5,7,2,1,4]
[4,7,1,5,2,6,8,3]=>[1,6,4,8,3,5,2,7]
[7,4,1,5,2,6,8,3]=>[6,4,2,8,3,5,1,7]
[3,1,6,7,5,2,8,4]=>[3,8,1,6,5,2,4,7]
[8,6,2,4,5,1,7,3]=>[4,8,3,6,5,2,7,1]
[8,6,7,5,2,1,4,3]=>[5,8,6,2,7,4,3,1]
[7,1,4,5,2,6,8,3]=>[3,6,4,8,2,5,1,7]
[4,1,6,2,3,8,7,5]=>[1,8,7,4,2,3,5,6]
[4,1,7,6,5,2,8,3]=>[8,1,6,5,4,2,3,7]
[8,4,1,5,6,2,7,3]=>[4,2,8,6,3,5,7,1]
[8,4,5,3,6,1,7,2]=>[2,4,3,8,6,5,7,1]
[2,8,4,7,3,5,6,1]=>[3,5,6,8,7,1,4,2]
[1,5,4,8,3,2,6,7]=>[3,2,6,5,7,8,1,4]
[1,5,7,6,3,8,2,4]=>[2,5,7,4,3,8,1,6]
[2,6,3,1,7,8,4,5]=>[7,3,5,1,2,8,4,6]
[2,1,7,8,3,5,4,6]=>[7,5,6,1,3,8,2,4]
[1,5,8,6,7,4,2,3]=>[7,2,4,8,6,5,1,3]
[8,7,1,3,5,2,6,4]=>[8,4,6,3,5,7,2,1]
[3,7,8,2,5,4,1,6]=>[7,4,6,1,5,2,8,3]
[4,7,6,5,8,1,3,2]=>[8,6,1,4,3,2,7,5]
[4,7,8,6,2,1,5,3]=>[5,8,1,6,2,7,4,3]
[4,8,6,3,2,1,7,5]=>[5,1,4,8,6,3,7,2]
[5,1,4,7,6,8,3,2]=>[5,3,1,4,8,7,2,6]
[5,6,4,7,1,8,3,2]=>[1,3,2,8,7,5,4,6]
[5,3,7,4,6,1,8,2]=>[4,1,8,2,6,5,3,7]
[4,1,5,7,8,6,3,2]=>[1,4,8,3,7,6,2,5]
[3,6,7,1,5,4,8,2]=>[6,5,1,2,8,4,3,7]
[3,6,4,7,5,8,2,1]=>[5,3,1,2,4,8,7,6]
[8,1,7,3,2,4,5,6]=>[5,4,6,7,8,2,3,1]
[6,4,7,1,5,2,8,3]=>[2,8,6,4,1,5,3,7]
[4,8,1,3,5,2,7,6]=>[4,1,5,8,3,6,7,2]
[1,6,5,2,8,7,4,3]=>[3,2,8,7,6,1,4,5]
[4,1,7,2,5,8,3,6]=>[5,1,7,8,4,2,3,6]
[3,2,5,8,6,1,7,4]=>[8,1,3,6,2,5,7,4]
[4,5,1,7,2,8,6,3]=>[1,2,8,7,5,3,4,6]
[2,8,5,3,6,7,4,1]=>[5,3,8,4,7,1,6,2]
[8,3,5,2,6,7,4,1]=>[5,2,3,8,4,7,6,1]
[2,8,6,3,4,7,5,1]=>[8,4,5,3,7,1,6,2]
[4,7,1,8,5,3,6,2]=>[6,1,5,8,7,3,2,4]
[6,4,7,2,5,3,1,8]=>[2,7,4,1,6,5,3,8]
[7,1,4,3,6,8,2,5]=>[3,7,4,5,8,2,1,6]
[6,3,1,5,4,8,7,2]=>[2,4,8,5,1,7,3,6]
[7,1,3,8,5,4,2,6]=>[7,6,3,5,8,2,1,4]
[4,8,7,3,5,1,6,2]=>[4,8,1,6,5,7,3,2]
[5,3,8,7,1,6,2,4]=>[7,1,8,2,5,6,4,3]
[3,4,1,6,2,8,7,5]=>[1,2,4,8,7,3,5,6]
[5,2,6,7,4,3,1,8]=>[3,1,7,6,2,5,4,8]
[8,5,1,6,4,3,2,7]=>[7,6,5,3,2,4,8,1]
[8,6,3,5,2,7,1,4]=>[3,5,7,4,2,8,6,1]
[8,4,6,2,1,5,7,3]=>[4,2,6,8,5,3,7,1]
[8,5,2,1,6,4,7,3]=>[6,3,5,2,8,4,7,1]
[1,7,2,8,5,4,6,3]=>[6,5,8,7,3,1,2,4]
[6,7,1,4,8,5,3,2]=>[8,4,1,7,6,3,2,5]
[7,3,2,8,5,1,4,6]=>[2,6,7,3,5,1,8,4]
[4,1,7,3,2,8,5,6]=>[4,1,7,8,5,2,3,6]
[8,3,5,2,4,7,1,6]=>[2,4,5,3,7,8,6,1]
[4,3,7,8,6,1,5,2]=>[8,1,6,2,3,7,5,4]
[1,2,6,3,7,8,5,4]=>[5,3,8,7,1,2,4,6]
[6,1,3,7,8,5,4,2]=>[4,8,7,3,1,6,2,5]
[3,6,8,5,4,2,1,7]=>[2,7,6,1,5,4,8,3]
[2,6,4,7,5,3,1,8]=>[7,3,2,6,1,5,4,8]
[5,6,3,7,2,8,4,1]=>[1,8,3,2,5,4,7,6]
[4,5,1,8,6,2,7,3]=>[1,2,8,6,5,7,3,4]
[5,6,1,8,7,2,3,4]=>[6,1,7,2,8,5,3,4]
[4,5,1,6,8,7,3,2]=>[1,2,8,4,7,6,3,5]
[3,8,6,1,5,2,4,7]=>[6,7,1,4,5,3,8,2]
[3,2,8,1,5,6,4,7]=>[1,5,7,2,4,6,8,3]
[5,8,7,3,2,1,4,6]=>[1,6,5,4,7,8,3,2]
[3,4,7,6,8,2,1,5]=>[7,6,1,2,4,3,8,5]
[2,8,1,3,7,5,6,4]=>[6,8,7,1,3,4,5,2]
[1,8,7,2,5,6,4,3]=>[5,8,7,4,6,3,1,2]
[7,6,1,2,5,8,4,3]=>[5,8,7,3,4,2,1,6]
[3,4,7,1,5,8,2,6]=>[1,2,5,7,8,4,3,6]
[4,2,7,1,5,8,3,6]=>[5,1,7,8,2,4,3,6]
[2,4,6,3,5,1,7,8]=>[2,4,6,1,5,3,7,8]
[4,1,6,2,5,8,3,7]=>[5,1,7,3,8,2,4,6]
[1,8,2,5,7,3,4,6]=>[6,4,7,8,3,5,1,2]
[1,4,6,3,8,5,2,7]=>[7,2,4,3,6,8,1,5]
[4,5,6,3,1,7,2,8]=>[1,2,7,5,4,3,6,8]
[3,4,6,2,5,1,7,8]=>[1,2,4,6,5,3,7,8]
[1,4,7,5,2,3,6,8]=>[2,5,6,4,7,1,3,8]
[1,4,6,5,8,2,3,7]=>[6,2,4,3,7,8,1,5]
[1,4,8,3,7,6,2,5]=>[7,8,2,4,6,5,1,3]
[1,4,5,3,7,2,6,8]=>[2,4,3,6,7,1,5,8]
[2,5,7,6,8,3,4,1]=>[6,2,4,3,8,1,7,5]
[3,1,6,7,2,8,5,4]=>[3,8,1,7,5,2,4,6]
[1,5,3,6,8,4,7,2]=>[4,2,6,8,3,7,1,5]
[6,5,1,3,8,4,7,2]=>[6,8,4,2,1,7,3,5]
[1,7,4,8,5,3,2,6]=>[7,3,6,5,2,8,1,4]
[7,3,1,6,8,4,5,2]=>[6,2,4,8,7,3,1,5]
[8,5,1,4,6,7,3,2]=>[4,5,2,8,7,3,6,1]
[7,4,2,3,6,5,1,8]=>[7,3,2,4,6,5,1,8]
[7,2,4,3,1,5,6,8]=>[5,2,4,3,6,7,1,8]
[6,3,1,4,8,5,7,2]=>[2,6,8,4,1,7,3,5]
[6,3,5,4,8,7,1,2]=>[4,2,3,1,7,8,6,5]
[2,6,4,3,1,7,5,8]=>[4,3,7,1,5,2,6,8]
[4,8,1,7,5,6,3,2]=>[5,8,1,7,6,3,4,2]
[1,5,7,2,8,4,6,3]=>[2,6,8,7,4,1,3,5]
[5,8,7,2,3,6,4,1]=>[1,8,4,5,7,6,3,2]
[4,6,5,1,2,3,7,8]=>[4,1,5,6,3,2,7,8]
[1,8,7,5,2,6,3,4]=>[7,8,5,4,6,3,1,2]
[1,7,6,3,4,5,8,2]=>[4,5,6,3,2,8,1,7]
[1,8,7,4,5,6,2,3]=>[4,7,5,8,6,3,1,2]
[1,8,7,3,6,4,2,5]=>[7,4,6,8,5,3,1,2]
[1,4,7,5,8,2,6,3]=>[4,8,2,6,3,7,1,5]
[1,4,7,2,3,6,5,8]=>[2,7,4,5,6,1,3,8]
[1,7,2,5,6,3,4,8]=>[6,4,7,3,5,1,2,8]
[1,2,6,5,8,3,4,7]=>[6,4,3,7,8,1,2,5]
[1,5,8,2,6,3,4,7]=>[6,2,7,4,5,8,1,3]
[6,8,3,2,7,5,1,4]=>[3,7,1,8,4,6,5,2]
[7,3,6,8,1,2,5,4]=>[8,2,5,6,3,1,7,4]
[4,1,5,7,2,6,3,8]=>[3,1,7,5,6,2,4,8]
[5,7,2,1,3,6,4,8]=>[3,7,4,1,5,6,2,8]
[3,5,6,7,2,4,1,8]=>[2,5,1,3,7,6,4,8]
[6,4,7,5,2,3,1,8]=>[2,5,1,7,6,4,3,8]
[1,5,6,4,8,3,2,7]=>[2,4,3,7,6,8,1,5]
[2,1,5,6,4,8,3,7]=>[3,5,1,4,7,8,2,6]
[5,1,4,7,8,6,2,3]=>[7,3,1,4,8,6,2,5]
[1,6,7,2,8,5,4,3]=>[2,8,7,6,4,1,3,5]
[5,3,2,1,7,8,6,4]=>[2,5,1,8,3,7,4,6]
[7,4,3,8,6,1,5,2]=>[2,8,3,6,1,7,5,4]
[4,3,7,1,5,8,6,2]=>[1,8,2,5,7,4,3,6]
[8,2,4,5,3,1,7,6]=>[3,5,2,4,8,6,7,1]
[1,4,3,2,7,5,8,6]=>[2,8,3,6,1,4,5,7]
[4,8,7,2,6,1,3,5]=>[1,4,6,7,8,5,3,2]
[4,5,8,2,1,7,3,6]=>[1,4,2,7,8,5,6,3]
[6,8,4,1,7,3,2,5]=>[7,6,3,1,8,4,5,2]
[6,3,1,8,2,7,5,4]=>[8,2,7,5,1,6,3,4]
[6,4,1,3,2,5,7,8]=>[5,3,4,2,6,1,7,8]
[4,1,7,8,3,2,5,6]=>[1,6,5,7,3,8,2,4]
[5,4,7,1,3,6,2,8]=>[5,2,1,7,4,6,3,8]
[7,6,2,8,4,5,3,1]=>[5,8,7,3,2,1,6,4]
[5,8,2,1,3,6,4,7]=>[3,7,4,1,5,6,8,2]
[8,5,1,7,3,4,6,2]=>[5,6,2,8,7,3,4,1]
[5,7,6,3,4,1,8,2]=>[1,4,8,6,5,3,2,7]
[1,8,3,5,2,6,4,7]=>[7,3,5,4,6,8,1,2]
[3,4,6,1,8,5,7,2]=>[6,1,2,3,8,7,4,5]
[2,3,8,7,4,5,1,6]=>[5,7,6,8,1,2,4,3]
[1,8,3,5,7,4,2,6]=>[4,7,3,6,8,5,1,2]
[2,5,8,4,6,7,1,3]=>[2,4,7,5,8,1,6,3]
[4,7,8,6,2,3,5,1]=>[5,6,1,2,8,7,4,3]
[7,1,2,4,8,6,5,3]=>[8,7,4,6,2,3,1,5]
[2,7,5,6,4,8,1,3]=>[3,7,5,4,1,2,8,6]
[2,8,3,6,5,7,1,4]=>[7,5,3,4,8,1,6,2]
[5,4,1,2,3,7,8,6]=>[6,8,3,2,1,4,5,7]
[1,6,7,2,5,8,3,4]=>[7,5,2,8,4,1,3,6]
[7,8,5,6,2,4,3,1]=>[8,5,3,1,7,6,4,2]
[5,3,8,6,2,4,1,7]=>[5,1,7,2,6,4,8,3]
[2,7,4,6,3,8,1,5]=>[3,5,7,4,1,2,8,6]
[5,4,7,8,6,2,1,3]=>[1,7,2,6,3,8,5,4]
[2,7,4,8,3,1,5,6]=>[3,6,5,7,1,2,8,4]
[8,2,1,3,7,4,6,5]=>[8,2,6,7,3,4,5,1]
[6,5,8,2,3,4,7,1]=>[4,5,2,1,6,8,7,3]
[7,8,2,3,6,4,5,1]=>[6,8,3,4,1,7,5,2]
[8,1,2,7,5,3,4,6]=>[6,7,5,8,2,3,4,1]
[4,2,8,1,3,7,5,6]=>[7,1,8,2,4,5,6,3]
[7,5,1,8,2,3,4,6]=>[5,6,7,2,8,3,1,4]
[8,2,4,1,3,7,5,6]=>[7,2,3,8,4,5,6,1]
[8,1,6,2,3,7,4,5]=>[7,8,4,5,2,3,6,1]
[7,1,8,2,3,6,4,5]=>[7,8,4,5,6,2,1,3]
[4,2,6,7,5,1,8,3]=>[1,3,8,6,2,5,4,7]
[4,7,2,5,3,8,1,6]=>[1,5,3,4,7,2,8,6]
[3,5,7,4,2,8,1,6]=>[2,5,1,4,7,3,8,6]
[2,4,7,6,3,8,1,5]=>[5,7,2,4,1,3,8,6]
[4,6,8,5,1,2,3,7]=>[1,5,6,2,7,4,8,3]
[4,6,5,7,1,2,3,8]=>[1,5,6,3,2,7,4,8]
[4,6,5,7,1,3,8,2]=>[6,1,3,2,8,5,4,7]
[3,4,7,6,1,8,2,5]=>[7,8,1,2,5,4,3,6]
[8,5,2,1,6,3,4,7]=>[3,6,7,4,2,5,8,1]
[7,1,8,5,3,2,4,6]=>[6,5,7,4,8,2,1,3]
[8,6,1,3,2,7,5,4]=>[8,4,7,3,5,2,6,1]
[8,1,7,5,2,4,6,3]=>[6,8,5,4,7,2,3,1]
[8,2,7,5,4,1,6,3]=>[8,6,5,2,4,7,3,1]
[8,6,1,2,7,3,5,4]=>[8,6,7,3,4,2,5,1]
[4,2,8,5,7,1,6,3]=>[1,4,8,6,7,2,5,3]
[6,8,7,4,5,3,2,1]=>[1,4,8,7,6,5,3,2]
[5,2,6,7,4,8,3,1]=>[3,1,5,4,8,2,7,6]
[6,5,8,1,7,3,2,4]=>[7,6,2,1,8,4,5,3]
[6,4,8,1,5,2,3,7]=>[6,2,7,4,1,5,8,3]
[7,2,4,1,6,3,5,8]=>[6,2,3,7,4,5,1,8]
[2,6,1,5,3,4,8,7]=>[8,5,1,3,4,2,6,7]
[3,8,7,5,4,2,6,1]=>[6,5,4,8,1,7,3,2]
[5,7,8,2,3,6,4,1]=>[1,8,4,5,2,7,6,3]
[2,8,7,3,1,4,5,6]=>[5,4,6,7,8,1,3,2]
[5,6,1,2,4,7,8,3]=>[5,6,1,8,3,2,4,7]
[3,8,6,7,5,4,2,1]=>[3,8,7,6,1,5,4,2]
[7,8,5,1,4,6,2,3]=>[7,5,8,4,3,1,6,2]
[8,2,7,5,4,6,1,3]=>[7,5,4,8,2,6,3,1]
[8,4,7,6,3,1,2,5]=>[2,6,7,5,8,4,3,1]
[4,6,7,1,3,2,8,5]=>[1,5,8,4,2,6,3,7]
[6,4,7,5,3,2,8,1]=>[6,2,1,5,4,3,8,7]
[8,4,6,3,1,5,7,2]=>[2,6,4,8,5,3,7,1]
[7,3,1,4,5,6,8,2]=>[4,2,5,6,8,3,1,7]
[6,7,3,4,2,1,8,5]=>[3,5,4,1,8,6,2,7]
[6,4,8,3,1,5,7,2]=>[2,6,4,1,8,5,7,3]
[7,4,2,3,5,1,8,6]=>[3,4,2,5,8,6,1,7]
[3,1,6,5,2,4,8,7]=>[8,1,5,4,2,3,6,7]
[2,5,3,8,6,4,1,7]=>[2,7,6,1,3,5,8,4]
[6,7,1,5,4,3,2,8]=>[7,6,5,3,1,4,2,8]
[5,8,4,1,3,2,7,6]=>[5,1,8,4,3,6,7,2]
[5,3,4,7,6,1,8,2]=>[8,2,1,3,6,5,4,7]
[1,6,4,3,8,7,5,2]=>[8,3,2,7,4,6,1,5]
[4,5,1,6,8,7,2,3]=>[1,4,2,7,8,6,3,5]
[3,4,7,2,5,8,6,1]=>[8,1,2,4,5,3,7,6]
[2,5,1,8,6,4,7,3]=>[2,6,5,8,1,7,3,4]
[2,5,8,7,3,1,4,6]=>[2,6,5,7,8,1,4,3]
[8,4,5,1,6,7,2,3]=>[2,7,5,3,8,4,6,1]
[8,4,7,3,1,5,2,6]=>[2,7,5,4,6,8,3,1]
[2,5,1,8,3,6,4,7]=>[7,5,1,2,6,8,3,4]
[5,8,4,7,3,2,1,6]=>[1,3,7,6,5,8,4,2]
[5,6,8,4,2,7,1,3]=>[1,5,2,7,4,8,6,3]
[4,3,8,6,1,2,5,7]=>[2,1,5,6,7,4,8,3]
[4,8,6,5,7,1,3,2]=>[8,6,1,4,3,7,5,2]
[7,2,3,5,6,8,4,1]=>[4,5,8,2,3,1,7,6]
[8,3,4,2,7,6,1,5]=>[2,3,7,8,4,6,5,1]
[8,7,5,6,4,1,3,2]=>[8,6,3,7,5,4,2,1]
[8,7,4,2,3,6,5,1]=>[8,4,3,5,7,6,2,1]
[8,4,2,3,7,6,5,1]=>[2,8,7,3,4,6,5,1]
[7,2,4,5,3,1,6,8]=>[3,6,2,5,4,7,1,8]
[7,6,3,1,4,5,8,2]=>[5,3,6,8,4,2,1,7]
[3,7,4,6,2,1,8,5]=>[3,5,8,1,6,4,2,7]
[5,4,1,7,8,6,2,3]=>[2,1,7,4,8,6,3,5]
[5,3,4,7,8,1,6,2]=>[8,2,1,3,6,4,7,5]
[4,3,7,6,5,1,8,2]=>[8,1,6,2,5,4,3,7]
[5,1,4,8,2,3,7,6]=>[3,8,5,1,6,7,2,4]
[3,2,8,5,4,1,6,7]=>[6,1,5,2,4,7,8,3]
[1,2,8,3,4,6,5,7]=>[7,4,5,6,8,1,2,3]
[8,1,2,7,3,5,4,6]=>[7,5,6,8,2,3,4,1]
[5,7,1,2,6,3,4,8]=>[6,7,3,1,4,5,2,8]
[1,2,7,5,6,3,4,8]=>[6,4,7,5,1,2,3,8]
[5,1,4,7,2,3,6,8]=>[5,3,6,1,7,2,4,8]
[4,8,1,2,3,6,5,7]=>[7,3,1,4,5,6,8,2]
[6,2,3,8,7,1,4,5]=>[6,7,8,2,1,3,5,4]
[8,2,3,6,4,7,5,1]=>[8,5,2,3,4,7,6,1]
[7,2,3,6,4,8,1,5]=>[5,7,2,3,4,1,8,6]
[4,5,1,3,2,6,8,7]=>[4,1,8,3,2,5,6,7]
[6,4,7,5,1,3,2,8]=>[2,7,5,1,6,4,3,8]
[5,3,1,6,2,7,8,4]=>[2,6,4,1,8,3,5,7]
[6,7,2,4,1,8,3,5]=>[7,3,4,1,8,5,2,6]
[5,1,6,3,2,7,8,4]=>[4,6,3,1,8,2,5,7]
[5,2,1,6,4,7,3,8]=>[5,2,4,1,7,3,6,8]
[5,4,1,6,2,7,8,3]=>[6,4,2,1,8,3,5,7]
[6,7,2,5,4,1,3,8]=>[6,7,3,1,5,4,2,8]
[7,1,3,5,4,2,8,6]=>[5,3,4,8,2,6,1,7]
[7,6,8,2,4,5,3,1]=>[5,8,4,2,1,7,6,3]
[4,2,8,6,5,1,3,7]=>[1,6,7,5,2,4,8,3]
[3,8,5,4,7,1,2,6]=>[6,4,1,3,7,8,5,2]
[1,4,8,3,6,2,7,5]=>[8,2,4,6,5,7,1,3]
[6,3,2,4,8,7,1,5]=>[2,7,8,3,1,4,6,5]
[8,3,2,7,4,1,5,6]=>[2,6,3,5,7,8,4,1]
[7,3,2,6,5,8,1,4]=>[7,2,5,3,4,1,8,6]
[3,6,2,5,7,4,8,1]=>[4,6,1,3,2,5,8,7]
[2,7,1,5,8,6,4,3]=>[8,4,7,6,1,3,2,5]
[7,2,4,1,6,8,5,3]=>[3,5,8,2,7,4,1,6]
[6,4,7,2,3,8,5,1]=>[2,8,4,1,5,3,7,6]
[6,1,8,5,7,4,2,3]=>[7,4,1,8,6,5,2,3]
[7,1,4,3,6,5,8,2]=>[3,6,4,5,8,2,1,7]
[7,1,5,6,3,4,8,2]=>[5,3,6,4,8,2,1,7]
[6,1,8,5,4,7,3,2]=>[5,4,1,8,7,6,2,3]
[7,6,1,5,4,2,8,3]=>[8,6,5,3,4,2,1,7]
[5,1,6,8,7,2,4,3]=>[3,1,8,6,7,5,2,4]
[4,6,7,5,3,1,8,2]=>[2,8,1,6,5,4,3,7]
[5,3,2,6,8,7,4,1]=>[8,2,1,4,7,3,6,5]
[5,4,6,2,8,7,3,1]=>[2,1,3,8,7,4,6,5]
[4,5,8,6,7,2,3,1]=>[6,1,2,4,8,7,5,3]
[4,5,7,6,1,2,8,3]=>[1,2,8,5,6,4,3,7]
[4,6,5,7,2,1,8,3]=>[5,1,3,2,8,6,4,7]
[7,4,8,6,3,5,1,2]=>[7,2,5,1,8,6,4,3]
[7,2,4,3,6,1,8,5]=>[3,8,2,4,6,5,1,7]
[2,3,4,7,8,6,1,5]=>[7,4,8,1,2,3,6,5]
[6,3,7,1,4,2,8,5]=>[2,5,8,4,1,6,3,7]
[4,6,3,5,1,8,2,7]=>[1,3,7,4,2,8,5,6]
[8,5,7,6,2,3,4,1]=>[5,2,6,8,7,4,3,1]
[3,4,6,7,8,2,5,1]=>[3,6,1,2,4,8,7,5]
[2,5,6,7,3,8,1,4]=>[2,5,3,7,1,4,8,6]
[5,8,4,6,2,1,7,3]=>[1,5,3,8,6,4,7,2]
[2,4,7,5,8,6,3,1]=>[8,4,2,3,7,1,6,5]
[1,6,8,3,4,2,7,5]=>[4,5,2,8,6,7,1,3]
[4,1,7,6,2,8,3,5]=>[1,7,8,5,4,2,3,6]
[4,1,8,2,7,5,3,6]=>[1,7,6,8,4,5,2,3]
[4,1,7,2,8,5,3,6]=>[1,7,6,8,4,2,3,5]
[2,5,6,3,7,4,8,1]=>[2,6,4,1,3,5,8,7]
[2,6,5,3,8,4,7,1]=>[6,3,2,8,1,4,7,5]
[2,6,5,3,7,4,8,1]=>[6,4,3,1,2,5,8,7]
[7,1,6,3,5,4,8,2]=>[6,4,5,3,8,2,1,7]
[5,7,3,2,8,4,1,6]=>[3,1,7,4,6,2,8,5]
[2,8,6,1,7,5,3,4]=>[7,8,6,4,1,3,5,2]
[8,1,5,2,7,4,3,6]=>[7,6,3,8,2,4,5,1]
[7,1,4,2,8,5,3,6]=>[3,7,6,8,2,4,1,5]
[2,6,8,1,7,5,3,4]=>[7,2,8,6,1,4,5,3]
[1,4,6,5,3,8,2,7]=>[5,2,4,3,7,8,1,6]
[2,4,5,8,7,1,3,6]=>[2,3,6,7,8,1,5,4]
[3,1,6,8,7,5,4,2]=>[8,3,7,1,6,5,2,4]
[3,1,8,7,5,6,4,2]=>[5,8,7,1,6,4,2,3]
[5,1,8,7,6,3,4,2]=>[1,6,8,7,5,4,2,3]
[8,2,7,5,3,6,4,1]=>[8,5,4,7,2,6,3,1]
[8,7,2,3,1,5,6,4]=>[3,4,6,8,5,7,2,1]
[2,8,5,7,6,1,3,4]=>[6,3,7,8,5,1,4,2]
[1,8,7,2,6,4,5,3]=>[6,8,7,4,5,3,1,2]
[8,7,2,1,6,4,5,3]=>[6,8,3,7,4,5,2,1]
[1,8,4,7,6,2,5,3]=>[8,3,6,7,5,4,1,2]
[8,7,1,6,4,3,5,2]=>[6,5,8,7,3,4,2,1]
[8,4,1,7,3,6,5,2]=>[2,8,5,7,6,3,4,1]
[8,3,6,2,1,5,4,7]=>[2,4,7,5,6,3,8,1]
[1,7,3,6,8,2,5,4]=>[8,6,3,4,2,7,1,5]
[4,5,1,8,7,3,6,2]=>[1,2,6,8,7,5,3,4]
[3,8,5,2,6,7,4,1]=>[5,3,8,1,4,7,6,2]
[4,3,8,5,2,6,1,7]=>[1,5,2,4,7,6,8,3]
[3,6,4,7,5,2,1,8]=>[7,3,1,2,6,5,4,8]
[5,7,4,1,2,6,8,3]=>[6,1,8,4,3,5,2,7]
[2,8,6,7,5,3,1,4]=>[7,6,3,8,5,1,4,2]
[7,4,5,2,6,3,1,8]=>[2,7,4,3,6,5,1,8]
[8,6,3,4,5,1,7,2]=>[3,4,8,6,5,2,7,1]
[8,6,3,5,4,1,7,2]=>[8,3,6,5,4,2,7,1]
[8,7,4,5,1,3,6,2]=>[6,3,8,5,4,7,2,1]
[8,6,2,5,3,1,4,7]=>[6,3,5,7,4,2,8,1]
[8,4,7,3,1,2,5,6]=>[5,2,6,4,7,8,3,1]
[8,7,3,5,1,6,4,2]=>[8,3,7,5,4,6,2,1]
[4,8,3,2,6,1,7,5]=>[1,3,8,4,6,5,7,2]
[4,3,7,6,1,5,2,8]=>[1,7,2,5,6,4,3,8]
[7,5,4,3,6,1,8,2]=>[4,3,2,8,6,5,1,7]
[4,6,8,5,3,1,2,7]=>[6,1,2,7,5,4,8,3]
[5,6,8,4,3,7,2,1]=>[1,2,5,4,8,7,6,3]
[7,5,8,4,2,1,6,3]=>[5,2,8,6,4,1,7,3]
[1,4,8,7,6,2,5,3]=>[8,6,7,2,5,4,1,3]
[7,2,4,1,5,3,8,6]=>[5,2,3,8,4,6,1,7]
[8,5,3,4,1,7,2,6]=>[3,7,4,2,8,5,6,1]
[2,8,5,4,3,6,1,7]=>[5,4,3,7,1,6,8,2]
[8,6,5,3,1,2,7,4]=>[8,5,4,6,3,2,7,1]
[7,4,6,5,3,2,8,1]=>[6,2,5,4,3,1,8,7]
[5,6,7,2,3,8,4,1]=>[1,8,4,2,5,3,7,6]
[8,4,2,6,5,7,3,1]=>[2,5,4,8,3,7,6,1]
[1,7,4,2,8,5,6,3]=>[3,6,8,7,4,1,2,5]
[3,2,1,7,4,6,8,5]=>[1,6,8,2,5,3,4,7]
[6,2,5,7,1,4,3,8]=>[7,5,2,3,1,6,4,8]
[4,8,5,3,1,2,6,7]=>[1,5,6,4,3,7,8,2]
[8,5,2,4,6,1,3,7]=>[6,3,4,2,7,5,8,1]
[1,5,3,4,7,2,6,8]=>[3,4,2,6,7,1,5,8]
[8,4,6,1,5,7,3,2]=>[2,5,8,7,4,3,6,1]
[6,4,7,2,1,3,8,5]=>[4,2,8,5,1,6,3,7]
[6,7,3,1,2,4,8,5]=>[8,4,3,5,1,6,2,7]
[3,1,8,7,6,2,5,4]=>[8,6,7,1,5,4,2,3]
[1,3,8,6,7,2,5,4]=>[8,6,4,7,2,5,1,3]
[5,2,3,6,1,8,4,7]=>[7,2,3,1,4,8,5,6]
[3,2,6,4,7,1,5,8]=>[1,4,6,2,3,7,5,8]
[3,6,2,5,7,8,4,1]=>[4,5,1,2,8,3,7,6]
[2,7,4,6,8,3,5,1]=>[6,3,4,2,8,1,7,5]
[3,7,6,8,1,5,4,2]=>[8,7,5,1,3,2,6,4]
[1,5,7,6,8,4,2,3]=>[7,2,4,3,8,6,1,5]
[2,7,4,6,8,5,3,1]=>[4,8,3,2,7,1,6,5]
[3,7,6,8,5,1,4,2]=>[8,6,3,1,2,7,5,4]
[7,1,3,8,6,2,4,5]=>[6,7,8,3,5,2,1,4]
[2,7,1,8,6,5,3,4]=>[7,8,6,5,1,3,2,4]
[8,1,5,2,6,4,7,3]=>[6,5,3,8,2,4,7,1]
[4,6,7,5,1,2,3,8]=>[1,5,6,2,7,4,3,8]
[5,3,4,7,6,2,1,8]=>[7,2,1,3,6,5,4,8]
[4,1,8,5,7,2,6,3]=>[1,4,8,6,7,5,2,3]
[4,1,8,2,7,5,6,3]=>[1,6,8,7,4,5,2,3]
[7,6,8,2,4,3,5,1]=>[6,4,5,2,1,8,7,3]
[7,4,5,3,8,1,6,2]=>[2,4,3,8,6,1,7,5]
[7,3,6,1,4,2,8,5]=>[2,5,8,4,6,3,1,7]
[8,7,2,6,4,5,1,3]=>[7,5,8,3,6,4,2,1]
[2,6,4,8,3,5,1,7]=>[3,5,2,7,1,6,8,4]
[1,4,8,5,3,2,7,6]=>[5,2,4,8,6,7,1,3]
[3,5,8,4,6,7,1,2]=>[2,4,7,1,5,8,6,3]
[1,2,4,8,5,7,3,6]=>[5,7,8,3,6,1,2,4]
[7,3,4,1,8,2,5,6]=>[2,6,3,7,8,4,1,5]
[5,6,3,1,8,2,4,7]=>[6,3,1,7,2,8,4,5]
[7,3,6,5,1,8,4,2]=>[8,7,2,5,4,3,1,6]
[5,7,2,1,4,8,6,3]=>[8,3,1,5,7,4,2,6]
[7,6,3,5,2,1,8,4]=>[3,5,8,6,4,2,1,7]
[7,1,4,6,8,5,3,2]=>[4,8,3,7,6,2,1,5]
[7,2,5,1,6,4,8,3]=>[6,5,2,3,8,4,1,7]
[2,7,1,5,6,4,8,3]=>[4,6,5,8,1,3,2,7]
[1,5,7,8,4,6,3,2]=>[5,2,3,8,7,6,1,4]
[1,4,8,5,7,6,3,2]=>[8,4,7,2,6,5,1,3]
[2,8,1,5,6,4,7,3]=>[4,6,5,8,1,3,7,2]
[3,7,2,8,1,5,6,4]=>[6,8,1,3,5,2,7,4]
[7,3,2,5,1,6,8,4]=>[2,6,3,4,8,5,1,7]
[8,7,2,1,3,6,5,4]=>[8,3,7,4,5,6,2,1]
[7,3,2,8,1,4,6,5]=>[2,8,3,5,6,1,7,4]
[3,6,2,1,8,4,7,5]=>[8,1,3,6,2,7,4,5]
[3,5,1,7,6,4,8,2]=>[2,6,1,5,4,8,3,7]
[8,7,4,2,1,6,5,3]=>[8,4,3,7,5,6,2,1]
[5,4,7,6,2,1,8,3]=>[2,1,5,8,6,4,3,7]
[3,5,2,8,7,1,6,4]=>[2,8,1,6,7,3,5,4]
[3,7,6,5,4,1,8,2]=>[8,6,5,1,4,3,2,7]
[4,6,5,3,1,8,7,2]=>[4,1,3,2,8,7,5,6]
[4,5,2,6,7,3,8,1]=>[1,4,2,6,3,5,8,7]
[8,6,7,4,3,1,5,2]=>[8,6,5,4,2,7,3,1]
[4,7,1,8,5,3,2,6]=>[7,1,6,5,8,3,2,4]
[8,6,7,1,4,3,5,2]=>[6,5,8,4,2,7,3,1]
[8,6,7,2,1,3,5,4]=>[4,8,5,6,2,7,3,1]
[8,5,6,1,7,4,2,3]=>[7,2,8,6,4,3,5,1]
[6,4,1,2,5,7,8,3]=>[5,6,2,8,3,1,4,7]
[6,1,5,4,2,7,3,8]=>[7,5,4,2,3,1,6,8]
[6,4,2,3,1,7,5,8]=>[3,4,2,7,5,1,6,8]
[3,4,6,1,8,2,7,5]=>[8,1,2,6,3,7,4,5]
[5,3,1,4,7,6,2,8]=>[2,7,4,1,6,3,5,8]
[6,4,5,2,7,1,3,8]=>[4,2,6,3,1,7,5,8]
[7,4,3,5,1,6,2,8]=>[3,2,7,5,4,6,1,8]
[7,5,3,6,2,1,4,8]=>[3,6,5,2,7,4,1,8]
[6,4,3,7,1,8,2,5]=>[3,2,7,1,8,5,4,6]
[3,1,2,7,6,4,5,8]=>[1,6,7,5,2,3,4,8]
[5,1,2,7,6,3,4,8]=>[6,7,5,2,1,3,4,8]
[5,6,1,7,2,4,3,8]=>[7,5,1,6,3,2,4,8]
[3,5,6,8,1,2,7,4]=>[2,8,1,5,3,6,7,4]
[2,6,5,7,1,3,4,8]=>[5,6,3,1,2,7,4,8]
[2,3,7,1,5,6,4,8]=>[5,7,1,2,4,6,3,8]
[2,6,5,3,4,1,7,8]=>[4,6,5,1,3,2,7,8]
[2,6,1,3,5,4,7,8]=>[6,1,3,4,5,2,7,8]
[4,6,1,5,2,8,7,3]=>[1,4,8,7,3,2,5,6]
[6,1,5,4,2,7,8,3]=>[6,4,3,8,2,1,5,7]
[4,6,1,5,2,7,8,3]=>[1,6,4,8,3,2,5,7]
[2,8,6,5,1,3,7,4]=>[8,5,6,4,1,3,7,2]
[5,1,8,6,2,7,4,3]=>[1,8,7,5,4,6,2,3]
[3,6,8,2,7,5,1,4]=>[7,2,8,1,4,6,5,3]
[5,6,4,1,7,2,8,3]=>[1,8,6,4,3,2,5,7]
[3,8,6,1,5,7,4,2]=>[5,8,7,1,4,3,6,2]
[8,1,6,3,4,2,5,7]=>[4,6,5,7,2,3,8,1]
[7,4,2,3,1,6,8,5]=>[3,4,2,6,8,5,1,7]
[6,4,2,3,7,8,1,5]=>[7,3,2,4,1,5,8,6]
[4,3,6,2,5,8,1,7]=>[2,1,4,5,3,7,8,6]
[1,6,4,5,7,3,2,8]=>[3,4,2,7,6,1,5,8]
[1,6,4,5,7,2,8,3]=>[3,4,2,8,6,1,5,7]
[1,7,5,6,4,8,3,2]=>[3,5,4,2,8,7,1,6]
[1,5,6,7,3,2,4,8]=>[2,6,5,3,7,1,4,8]
[8,2,4,3,1,7,5,6]=>[4,2,3,7,8,5,6,1]
[8,2,1,4,3,7,5,6]=>[2,4,7,8,3,5,6,1]
[7,6,8,2,1,5,3,4]=>[4,7,8,5,2,1,6,3]
[8,6,2,5,1,3,7,4]=>[8,3,5,6,4,2,7,1]
[7,1,6,8,3,2,4,5]=>[6,5,7,3,8,2,1,4]
[5,7,2,6,4,1,8,3]=>[1,8,6,3,5,4,2,7]
[4,5,6,1,3,8,2,7]=>[1,5,2,7,3,8,4,6]
[6,3,5,7,4,2,8,1]=>[3,6,2,1,5,4,8,7]
[7,6,4,8,5,3,1,2]=>[3,7,2,1,8,6,5,4]
[8,2,1,6,4,7,3,5]=>[5,7,2,4,8,3,6,1]
[1,3,8,6,5,2,7,4]=>[8,6,5,2,4,7,1,3]
[2,7,3,8,5,6,4,1]=>[5,8,7,3,1,2,6,4]
[1,2,8,5,7,4,6,3]=>[4,6,8,7,5,1,2,3]
[1,6,8,5,4,7,2,3]=>[2,7,5,4,8,6,1,3]
[5,7,1,8,3,2,6,4]=>[5,1,8,6,7,3,2,4]
[2,1,3,8,6,4,7,5]=>[8,6,1,5,7,2,3,4]
[8,2,5,4,3,7,1,6]=>[5,4,2,3,7,8,6,1]
[5,8,4,3,7,6,2,1]=>[1,3,8,4,7,6,5,2]
[8,1,5,3,4,7,2,6]=>[4,5,3,7,8,2,6,1]
[6,1,8,7,4,5,3,2]=>[5,1,8,7,6,4,2,3]
[1,5,8,6,4,3,7,2]=>[6,2,5,4,8,7,1,3]
[5,8,6,4,2,1,7,3]=>[1,5,8,6,4,3,7,2]
[2,6,1,8,4,7,5,3]=>[8,5,2,7,1,6,3,4]
[5,3,8,6,1,2,7,4]=>[8,2,1,5,6,4,7,3]
[5,8,1,4,6,2,7,3]=>[4,1,8,6,3,5,7,2]
[3,7,6,2,1,4,8,5]=>[4,8,1,5,6,3,2,7]
[4,6,2,3,7,1,8,5]=>[1,8,3,4,2,6,5,7]
[6,8,7,5,1,3,4,2]=>[6,1,8,5,7,4,3,2]
[6,4,3,2,7,8,5,1]=>[3,2,5,1,8,4,7,6]
[2,7,6,1,5,3,8,4]=>[8,6,4,5,1,3,2,7]
[7,8,6,4,2,5,3,1]=>[8,5,4,1,7,6,3,2]
[6,4,5,8,7,1,3,2]=>[2,3,1,8,6,7,5,4]
[6,4,1,7,8,3,2,5]=>[2,7,6,4,1,8,3,5]
[6,4,3,8,7,2,5,1]=>[2,6,1,8,3,7,5,4]
[5,4,7,2,1,3,8,6]=>[4,2,1,8,5,6,3,7]
[2,6,4,5,7,1,8,3]=>[3,4,2,8,1,6,5,7]
[3,7,4,6,1,5,8,2]=>[3,6,8,1,5,4,2,7]
[3,4,6,5,2,8,1,7]=>[5,1,2,4,3,7,8,6]
[4,6,7,5,8,2,1,3]=>[2,7,1,6,4,3,8,5]
[2,5,7,6,4,1,8,3]=>[8,2,6,5,1,4,3,7]
[5,1,4,6,2,7,8,3]=>[3,6,4,1,8,2,5,7]
[1,2,5,3,7,8,6,4]=>[3,5,8,7,1,2,4,6]
[4,8,3,5,1,2,7,6]=>[1,3,8,5,4,6,7,2]
[6,1,3,7,2,8,4,5]=>[7,8,3,5,2,1,4,6]
[3,8,5,4,1,7,2,6]=>[7,4,1,3,8,5,6,2]
[3,1,5,8,2,6,7,4]=>[1,3,6,8,5,7,2,4]
[2,8,5,3,1,7,4,6]=>[4,7,3,8,1,5,6,2]
[6,5,2,3,7,1,8,4]=>[8,3,4,2,1,6,5,7]
[7,2,1,6,4,8,3,5]=>[5,7,2,4,8,3,1,6]
[2,1,3,7,5,8,4,6]=>[5,7,1,4,8,2,3,6]
[6,2,4,5,7,1,8,3]=>[3,4,8,2,1,6,5,7]
[2,3,8,7,1,4,6,5]=>[8,5,6,7,1,2,4,3]
[4,2,7,5,6,8,1,3]=>[1,4,7,5,2,3,8,6]
[6,8,2,5,4,7,3,1]=>[5,4,1,8,3,7,6,2]
[2,7,6,3,8,4,5,1]=>[6,8,4,3,1,2,7,5]
[4,6,8,2,3,1,7,5]=>[1,4,5,2,8,6,7,3]
[4,7,2,3,5,1,8,6]=>[3,1,4,5,8,6,2,7]
[6,4,2,1,3,7,5,8]=>[3,7,4,2,5,1,6,8]
[5,3,2,7,6,1,8,4]=>[8,2,1,6,3,5,4,7]
[5,6,4,2,8,7,1,3]=>[1,7,3,2,8,4,6,5]
[5,7,4,2,6,1,8,3]=>[1,8,4,3,6,5,2,7]
[5,4,7,1,6,2,8,3]=>[2,1,8,6,4,5,3,7]
[4,5,8,7,6,2,1,3]=>[7,1,2,6,8,5,4,3]
[6,4,7,1,2,3,8,5]=>[8,4,2,5,1,6,3,7]
[6,1,7,3,8,4,5,2]=>[6,8,4,3,1,7,2,5]
[8,2,3,1,6,4,7,5]=>[8,2,3,6,4,5,7,1]
[1,8,7,2,3,4,6,5]=>[8,4,5,6,7,3,1,2]
[1,8,3,7,6,2,5,4]=>[8,6,7,3,5,4,1,2]
[1,3,8,2,5,6,4,7]=>[5,7,2,4,6,8,1,3]
[1,3,2,7,4,6,8,5]=>[6,8,2,5,1,3,4,7]
[1,3,8,4,6,2,7,5]=>[8,4,6,2,5,7,1,3]
[8,2,3,6,7,4,5,1]=>[6,4,8,2,3,7,5,1]
[5,6,4,2,1,7,3,8]=>[4,1,7,5,3,2,6,8]
[2,5,7,6,3,8,4,1]=>[8,2,5,4,1,3,7,6]
[6,4,7,1,2,5,3,8]=>[7,4,2,5,1,6,3,8]
[1,2,7,5,8,6,3,4]=>[4,7,3,8,6,1,2,5]
[7,4,5,1,6,8,2,3]=>[2,7,5,3,8,4,1,6]
[1,7,8,4,2,6,3,5]=>[7,4,8,5,2,6,1,3]
[6,3,2,5,7,4,1,8]=>[2,4,7,3,1,6,5,8]
[6,2,1,5,3,7,8,4]=>[6,2,4,8,3,1,5,7]
[6,2,5,1,3,8,7,4]=>[8,7,2,4,3,1,5,6]
[6,2,8,5,1,3,7,4]=>[8,5,6,2,1,4,7,3]
[4,1,7,8,3,6,5,2]=>[8,1,5,3,7,6,2,4]
[6,4,2,1,7,3,5,8]=>[3,6,2,7,4,1,5,8]
[5,8,4,2,1,3,6,7]=>[5,4,1,6,3,7,8,2]
[1,7,5,8,4,3,6,2]=>[3,6,5,2,8,7,1,4]
[6,5,1,2,7,4,8,3]=>[6,5,8,3,2,1,4,7]
[7,8,1,2,5,4,3,6]=>[7,6,3,4,5,1,8,2]
[2,8,4,3,5,1,7,6]=>[4,3,5,8,1,6,7,2]
[5,2,4,7,6,8,1,3]=>[7,3,1,5,2,4,8,6]
[3,1,5,7,4,8,6,2]=>[8,1,3,5,4,7,2,6]
[4,1,7,6,8,2,5,3]=>[8,1,6,4,3,7,2,5]
[7,2,6,4,1,5,3,8]=>[7,5,2,4,6,3,1,8]
[1,2,6,5,8,3,7,4]=>[4,3,8,6,7,1,2,5]
[7,3,5,6,1,4,2,8]=>[7,2,5,3,6,4,1,8]
[5,8,3,1,6,7,4,2]=>[3,1,5,8,7,4,6,2]
[4,5,8,1,7,3,6,2]=>[1,2,6,8,7,4,5,3]
[4,7,1,6,8,5,2,3]=>[7,1,4,8,6,3,2,5]
[5,8,7,1,6,4,2,3]=>[1,7,8,6,4,5,3,2]
[1,7,3,8,2,5,4,6]=>[7,3,5,6,2,8,1,4]
[8,4,1,3,6,7,5,2]=>[5,2,8,4,7,3,6,1]
[5,3,1,8,6,7,4,2]=>[5,1,8,2,7,6,3,4]
[5,7,1,6,4,2,8,3]=>[1,8,6,5,3,4,2,7]
[2,7,1,6,5,8,4,3]=>[5,4,8,7,1,3,2,6]
[2,3,6,1,7,5,4,8]=>[7,6,1,2,4,3,5,8]
[2,7,1,4,8,6,5,3]=>[8,7,4,6,1,3,2,5]
[6,7,5,4,1,3,2,8]=>[7,5,1,6,4,3,2,8]
[6,2,7,1,4,3,5,8]=>[6,2,4,5,1,7,3,8]
[8,3,2,6,5,1,7,4]=>[8,2,6,3,5,4,7,1]
[7,3,2,6,5,1,4,8]=>[2,6,7,3,5,4,1,8]
[2,6,8,4,7,1,3,5]=>[6,4,2,7,8,1,5,3]
[7,8,6,3,2,5,4,1]=>[4,8,5,1,7,6,3,2]
[5,2,8,6,3,1,4,7]=>[6,5,1,7,2,4,8,3]
[1,6,4,8,2,3,5,7]=>[5,3,6,2,7,8,1,4]
[2,8,5,6,4,1,7,3]=>[3,8,6,5,1,4,7,2]
[1,4,7,3,5,8,6,2]=>[8,2,4,5,3,7,1,6]
[3,7,8,2,5,1,6,4]=>[8,4,6,1,5,2,7,3]
[8,6,1,4,3,2,7,5]=>[5,4,8,3,6,2,7,1]
[7,3,8,2,4,1,5,6]=>[2,4,6,5,7,1,8,3]
[6,3,7,8,1,2,5,4]=>[8,2,5,1,6,3,7,4]
[7,6,1,5,2,3,8,4]=>[8,5,6,3,4,2,1,7]
[5,1,8,6,7,2,3,4]=>[6,1,7,4,8,5,2,3]
[5,7,1,6,8,2,3,4]=>[6,1,7,4,8,3,2,5]
[6,8,4,2,1,7,3,5]=>[4,7,3,1,8,5,6,2]
[6,3,2,8,1,7,4,5]=>[2,7,8,3,1,5,6,4]
[6,4,1,3,7,8,5,2]=>[5,2,8,4,1,7,3,6]
[6,8,5,4,3,7,1,2]=>[1,7,5,4,3,8,6,2]
[5,7,4,8,3,1,2,6]=>[1,6,3,7,5,2,8,4]
[6,1,2,4,8,3,7,5]=>[8,4,6,7,2,1,3,5]
[2,5,6,8,1,4,7,3]=>[2,6,3,8,1,5,7,4]
[7,4,1,6,5,2,3,8]=>[6,2,7,5,3,4,1,8]
[4,1,6,5,2,3,8,7]=>[1,8,5,4,2,3,6,7]
[4,5,1,7,8,6,2,3]=>[1,2,7,4,8,6,3,5]
[8,5,7,3,4,6,2,1]=>[4,2,5,8,7,6,3,1]
[6,8,7,4,3,5,2,1]=>[1,5,4,8,7,6,3,2]
[6,8,7,5,3,4,2,1]=>[1,5,8,7,6,4,3,2]
[5,8,6,2,4,7,3,1]=>[1,5,8,4,3,7,6,2]
[4,8,6,2,5,7,3,1]=>[5,8,1,4,3,7,6,2]
[1,6,4,7,5,3,2,8]=>[7,3,2,6,5,1,4,8]
[1,6,5,3,2,7,4,8]=>[4,7,5,3,1,2,6,8]
[1,6,8,7,4,5,3,2]=>[2,5,8,7,6,4,1,3]
[1,4,7,5,3,2,6,8]=>[6,2,5,4,7,1,3,8]
[1,7,5,4,3,2,8,6]=>[5,4,3,8,6,1,2,7]
[1,4,7,5,3,2,8,6]=>[5,2,4,8,6,1,3,7]
[1,7,4,6,8,5,3,2]=>[4,8,3,2,7,6,1,5]
[6,8,7,2,3,5,4,1]=>[8,4,1,5,7,6,3,2]
[5,7,6,1,8,2,4,3]=>[1,8,6,7,4,3,2,5]
[4,8,6,5,7,2,3,1]=>[6,4,1,3,8,7,5,2]
[2,7,8,5,1,4,3,6]=>[7,5,6,4,1,2,8,3]
[8,5,6,2,4,7,3,1]=>[5,2,8,4,3,7,6,1]
[3,5,8,4,2,6,1,7]=>[2,5,1,4,7,6,8,3]
[8,1,3,6,4,5,2,7]=>[5,7,3,6,2,4,8,1]
[4,3,1,6,2,5,8,7]=>[2,1,8,5,3,4,6,7]
[7,5,2,1,8,4,3,6]=>[7,3,6,2,8,4,1,5]
[5,3,1,4,7,8,2,6]=>[2,7,4,1,5,8,3,6]
[7,1,2,4,8,3,5,6]=>[4,6,7,8,2,3,1,5]
[8,6,1,3,5,7,4,2]=>[5,8,4,7,3,2,6,1]
[7,1,5,8,2,3,4,6]=>[5,6,3,7,8,2,1,4]
[3,6,8,5,1,4,2,7]=>[7,5,1,2,6,4,8,3]
[5,2,4,1,6,8,3,7]=>[5,2,3,1,7,8,4,6]
[2,5,3,4,6,8,1,7]=>[3,4,1,2,5,7,8,6]
[4,7,1,2,5,6,3,8]=>[5,1,7,3,4,6,2,8]
[6,7,3,1,8,2,4,5]=>[6,3,7,1,8,4,2,5]
[7,3,1,4,6,2,8,5]=>[2,8,4,6,3,5,1,7]
[7,4,1,2,5,6,3,8]=>[5,7,3,2,4,6,1,8]
[5,4,1,3,6,8,7,2]=>[8,4,2,1,5,7,3,6]
[5,7,4,8,1,6,3,2]=>[1,3,8,7,5,2,6,4]
[4,3,1,2,5,7,6,8]=>[7,3,2,1,4,5,6,8]
[1,2,4,7,8,5,6,3]=>[6,4,8,3,7,1,2,5]
[8,3,6,5,7,4,2,1]=>[4,3,8,2,7,6,5,1]
[8,2,6,5,7,4,3,1]=>[4,3,8,7,2,6,5,1]
[8,4,7,1,5,2,6,3]=>[2,8,6,4,5,7,3,1]
[8,2,6,3,7,5,4,1]=>[8,7,4,2,3,6,5,1]
[8,2,5,3,7,6,4,1]=>[3,8,7,2,4,6,5,1]
[8,5,7,1,4,3,6,2]=>[6,5,2,8,4,7,3,1]
[5,3,1,8,4,2,6,7]=>[2,6,5,1,7,8,3,4]
[4,5,3,6,8,7,1,2]=>[1,3,2,4,7,8,6,5]
[2,1,6,5,8,7,3,4]=>[4,3,7,8,1,6,2,5]
[6,1,5,4,7,3,8,2]=>[4,3,6,5,1,8,2,7]
[3,1,8,4,2,7,6,5]=>[8,1,4,7,5,6,2,3]
[2,8,7,4,1,3,6,5]=>[8,5,4,6,7,1,3,2]
[8,2,3,1,7,6,4,5]=>[7,8,2,3,6,4,5,1]
[8,7,2,3,1,6,4,5]=>[3,4,7,8,5,6,2,1]
[7,2,5,8,3,1,4,6]=>[6,5,2,3,7,1,8,4]
[6,8,2,3,1,7,4,5]=>[3,4,7,1,8,5,6,2]
[8,2,5,7,3,1,4,6]=>[6,5,2,3,7,8,4,1]
[8,2,7,3,1,4,5,6]=>[5,2,4,6,7,8,3,1]
[5,3,2,8,7,1,6,4]=>[8,2,1,6,7,3,5,4]
[8,6,7,4,1,3,5,2]=>[6,8,5,4,2,7,3,1]
[4,1,3,6,5,2,8,7]=>[5,3,1,4,8,2,6,7]
[4,6,3,2,5,1,8,7]=>[1,4,3,5,2,8,6,7]
[4,8,3,2,6,5,7,1]=>[1,3,6,4,5,8,7,2]
[4,8,3,6,5,2,7,1]=>[6,1,3,5,4,8,7,2]
[8,1,6,2,5,4,7,3]=>[6,5,8,4,2,3,7,1]
[2,4,3,8,6,1,7,5]=>[8,2,6,1,3,5,7,4]
[2,6,3,8,5,4,7,1]=>[6,5,2,8,1,3,7,4]
[6,1,3,2,5,8,7,4]=>[8,3,5,7,2,1,4,6]
[6,8,4,2,5,3,7,1]=>[6,4,3,1,5,8,7,2]
[6,8,4,3,5,2,7,1]=>[4,3,1,6,5,8,7,2]
[8,1,4,6,5,3,7,2]=>[6,3,5,4,8,2,7,1]
[3,5,4,6,1,2,8,7]=>[3,1,2,8,5,4,6,7]
[7,3,5,6,1,8,2,4]=>[7,2,3,8,5,4,1,6]
[5,7,6,3,4,2,8,1]=>[1,4,6,5,3,2,8,7]
[4,6,7,2,3,5,8,1]=>[1,4,5,2,6,3,8,7]
[6,5,4,8,7,2,3,1]=>[3,2,1,6,8,7,5,4]
[5,7,4,3,6,2,1,8]=>[1,4,3,7,6,5,2,8]
[1,8,5,6,2,3,7,4]=>[8,5,3,6,4,7,1,2]
[7,2,4,6,8,1,5,3]=>[8,3,6,2,4,1,7,5]
[6,2,5,4,7,8,1,3]=>[4,3,7,2,1,5,8,6]
[3,8,2,6,1,7,4,5]=>[7,8,1,3,5,4,6,2]
[8,5,6,1,3,2,7,4]=>[5,8,4,2,6,3,7,1]
[5,3,7,8,2,6,1,4]=>[5,1,7,2,3,8,6,4]
[4,5,8,3,6,1,7,2]=>[1,2,4,8,6,5,7,3]
[4,5,8,7,2,3,1,6]=>[1,2,5,7,6,8,4,3]
[8,2,6,4,3,7,5,1]=>[4,8,5,2,3,7,6,1]
[6,3,1,8,7,4,5,2]=>[6,8,2,1,7,5,3,4]
[8,6,3,2,7,4,5,1]=>[3,6,8,4,2,7,5,1]
[1,3,6,8,7,4,5,2]=>[3,6,8,7,2,5,1,4]
[5,7,1,3,6,2,4,8]=>[4,6,1,7,3,5,2,8]
[4,7,5,2,3,6,8,1]=>[1,4,5,3,6,2,8,7]
[3,6,4,1,2,5,7,8]=>[1,4,5,3,6,2,7,8]
[4,7,1,3,2,5,8,6]=>[4,1,8,3,5,6,2,7]
[4,7,1,3,2,6,8,5]=>[4,1,6,8,3,5,2,7]
[5,7,1,3,6,2,8,4]=>[8,4,1,6,3,5,2,7]
[6,8,2,5,7,3,1,4]=>[7,6,3,1,4,8,5,2]
[4,8,5,2,3,6,1,7]=>[1,4,5,3,7,6,8,2]
[5,8,6,3,4,7,2,1]=>[1,4,5,3,8,7,6,2]
[3,7,5,4,2,8,1,6]=>[5,4,1,3,7,2,8,6]
[4,6,5,1,7,8,2,3]=>[7,1,5,3,2,8,4,6]
[4,7,1,3,2,8,5,6]=>[4,1,7,8,3,5,2,6]
[3,6,5,1,8,2,4,7]=>[6,7,1,3,2,8,4,5]
[5,8,7,3,4,2,6,1]=>[1,4,6,5,8,7,3,2]
[8,5,2,3,7,4,6,1]=>[6,8,3,2,4,7,5,1]
[6,3,1,5,4,8,2,7]=>[2,5,4,7,1,8,3,6]
[4,7,6,3,5,2,8,1]=>[4,6,1,5,3,2,8,7]
[1,7,5,3,4,8,6,2]=>[8,4,3,5,2,7,1,6]
[5,8,2,3,4,7,6,1]=>[8,3,1,4,5,7,6,2]
[8,7,3,2,6,4,5,1]=>[3,6,8,4,7,5,2,1]
[8,3,1,4,7,5,2,6]=>[2,7,4,6,8,3,5,1]
[5,3,1,6,4,8,7,2]=>[2,4,1,8,5,7,3,6]
[3,4,8,5,7,2,6,1]=>[4,6,8,1,2,7,5,3]
[8,5,1,2,7,6,4,3]=>[8,7,6,3,2,4,5,1]
[8,2,6,3,1,5,4,7]=>[4,7,2,5,6,3,8,1]
[3,7,8,5,6,2,4,1]=>[6,4,2,8,1,7,5,3]
[7,4,3,6,2,5,8,1]=>[3,2,5,6,4,1,8,7]
[4,3,8,7,1,6,2,5]=>[1,7,8,2,5,6,4,3]
[1,5,3,8,4,7,2,6]=>[5,2,7,8,3,6,1,4]
[8,2,3,1,6,5,7,4]=>[6,2,3,5,8,4,7,1]
[8,4,2,7,1,3,6,5]=>[8,3,2,5,6,7,4,1]
[8,4,2,3,1,6,7,5]=>[3,4,2,6,8,5,7,1]
[4,7,2,3,6,5,8,1]=>[1,6,3,4,5,2,8,7]
[3,8,2,6,4,7,1,5]=>[5,7,1,3,4,8,6,2]
[1,7,5,8,6,2,4,3]=>[3,8,6,2,7,5,1,4]
[6,5,1,7,4,8,3,2]=>[5,4,2,1,8,7,3,6]
[7,6,3,5,1,4,8,2]=>[3,6,8,5,4,2,1,7]
[6,5,4,1,7,2,3,8]=>[6,7,4,3,2,1,5,8]
[8,3,6,1,7,4,5,2]=>[6,8,2,7,4,3,5,1]
[7,1,2,6,4,8,3,5]=>[5,7,4,8,2,3,1,6]
[3,5,1,8,6,2,4,7]=>[6,1,2,7,5,8,3,4]
[1,8,7,5,4,6,2,3]=>[7,5,4,8,6,3,1,2]
[8,1,6,7,4,5,3,2]=>[5,3,8,7,6,2,4,1]
[8,1,6,4,7,5,3,2]=>[8,4,3,7,6,2,5,1]
[6,4,8,1,5,3,7,2]=>[2,6,5,1,8,4,7,3]
[1,6,4,3,5,8,2,7]=>[4,3,5,2,7,8,1,6]
[5,1,4,3,7,8,6,2]=>[3,5,1,8,4,7,2,6]
[5,7,1,8,6,3,2,4]=>[1,7,6,8,5,3,2,4]
[5,7,6,3,4,2,1,8]=>[1,4,7,6,5,3,2,8]
[4,1,3,7,6,5,2,8]=>[1,7,6,3,5,2,4,8]
[4,3,6,1,2,7,8,5]=>[2,1,6,8,4,3,5,7]
[7,2,6,1,3,5,8,4]=>[6,8,2,4,5,3,1,7]
[6,2,7,1,5,8,3,4]=>[7,5,8,2,1,4,3,6]
[5,8,3,6,7,2,4,1]=>[1,6,3,4,8,7,5,2]
[8,1,6,2,5,7,4,3]=>[5,8,7,4,2,3,6,1]
[2,7,1,5,3,6,8,4]=>[6,4,8,1,3,5,2,7]
[6,8,7,3,4,2,5,1]=>[4,1,6,5,8,7,3,2]
[1,8,6,2,4,7,5,3]=>[8,5,7,4,3,6,1,2]
[5,7,3,6,4,2,1,8]=>[1,7,3,6,5,4,2,8]
[5,7,3,6,4,1,8,2]=>[1,8,3,6,5,4,2,7]
[3,7,5,6,4,1,8,2]=>[3,8,6,1,5,4,2,7]
[2,8,5,7,3,4,6,1]=>[5,3,6,8,7,1,4,2]
[6,7,2,3,5,8,1,4]=>[7,3,4,1,5,2,8,6]
[7,4,5,8,2,3,1,6]=>[2,5,3,7,6,1,8,4]
[2,1,3,8,5,4,6,7]=>[6,1,5,7,8,2,3,4]
[5,3,6,8,2,4,1,7]=>[5,2,1,3,7,6,8,4]
[1,7,8,6,3,2,4,5]=>[6,5,7,2,8,4,1,3]
[7,1,2,5,3,8,4,6]=>[7,4,8,2,3,5,1,6]
[3,7,4,2,5,1,8,6]=>[4,1,3,5,8,6,2,7]
[1,8,3,4,5,7,2,6]=>[3,4,5,7,8,6,1,2]
[2,6,7,5,3,8,1,4]=>[5,2,7,4,1,3,8,6]
[4,5,2,6,8,7,1,3]=>[1,4,2,7,8,3,6,5]
[4,5,2,6,8,3,1,7]=>[1,4,2,7,3,6,8,5]
[4,5,7,6,2,1,3,8]=>[1,2,6,5,7,4,3,8]
[7,8,2,6,5,4,3,1]=>[8,7,6,3,1,5,4,2]
[5,3,7,8,4,2,1,6]=>[1,7,6,2,5,3,8,4]
[7,3,6,8,1,5,4,2]=>[8,7,2,5,3,1,6,4]
[7,5,8,2,4,3,6,1]=>[6,4,2,5,1,8,7,3]
[6,5,8,2,3,4,1,7]=>[4,5,2,1,7,6,8,3]
[8,1,5,3,4,6,2,7]=>[4,5,3,7,2,6,8,1]
[5,8,7,2,4,3,6,1]=>[1,6,4,5,8,7,3,2]
[1,7,2,4,8,5,6,3]=>[6,8,4,7,3,1,2,5]
[5,8,2,3,7,4,6,1]=>[6,1,8,3,4,7,5,2]
[7,8,2,3,5,4,6,1]=>[6,3,4,5,1,8,7,2]
[8,4,1,3,2,6,5,7]=>[4,7,3,2,5,6,8,1]
[8,7,2,3,5,4,6,1]=>[6,3,4,5,8,7,2,1]
[1,7,6,8,4,5,3,2]=>[5,3,2,8,7,6,1,4]
[2,7,3,1,8,5,6,4]=>[6,8,3,7,1,4,2,5]
[3,8,5,2,1,6,7,4]=>[4,6,1,3,8,5,7,2]
[2,8,6,1,5,7,4,3]=>[5,8,7,4,1,3,6,2]
[8,3,5,1,7,6,4,2]=>[3,8,2,7,6,4,5,1]
[8,3,5,4,7,1,6,2]=>[4,2,3,8,6,7,5,1]
[6,4,1,5,7,8,2,3]=>[4,2,7,5,1,8,3,6]
[4,8,7,1,2,5,3,6]=>[1,7,4,5,6,8,3,2]
[8,7,2,6,1,4,3,5]=>[7,3,5,6,8,4,2,1]
[6,1,7,3,8,2,4,5]=>[4,6,7,3,1,8,2,5]
[7,1,8,6,4,2,3,5]=>[6,7,5,8,4,2,1,3]
[4,1,3,5,8,2,6,7]=>[3,4,1,6,7,8,2,5]
[1,8,5,7,4,6,3,2]=>[3,5,8,7,6,4,1,2]
[1,4,7,6,8,3,5,2]=>[6,4,2,3,8,7,1,5]
[1,7,2,8,6,5,3,4]=>[7,8,6,5,3,1,2,4]
[5,7,1,6,4,2,3,8]=>[6,1,7,5,3,4,2,8]
[4,8,2,7,5,1,6,3]=>[8,1,6,3,5,7,4,2]
[2,8,4,6,7,1,5,3]=>[8,3,6,4,7,1,5,2]
[3,8,5,1,4,2,6,7]=>[6,1,4,5,3,7,8,2]
[1,7,6,2,5,3,8,4]=>[8,6,4,5,3,1,2,7]
[1,7,5,2,4,3,8,6]=>[5,8,4,3,6,1,2,7]
[2,8,5,1,4,3,6,7]=>[6,4,5,1,3,7,8,2]
[7,6,3,5,4,8,2,1]=>[5,3,4,2,1,8,7,6]
[3,1,2,5,7,6,8,4]=>[1,6,4,5,8,2,3,7]
[5,1,7,3,2,6,8,4]=>[4,6,1,8,5,2,3,7]
[4,7,2,3,5,1,6,8]=>[3,1,4,6,5,7,2,8]
[4,8,2,3,7,5,1,6]=>[1,7,3,4,6,8,5,2]
[8,7,2,4,3,5,6,1]=>[5,3,4,6,8,7,2,1]
[8,6,2,4,3,5,1,7]=>[5,3,4,7,6,2,8,1]
[8,1,2,4,7,3,5,6]=>[4,6,7,8,2,3,5,1]
[7,6,2,8,4,5,1,3]=>[7,5,8,3,2,1,6,4]
[6,8,1,5,7,3,2,4]=>[7,6,4,1,8,3,5,2]
[4,1,7,5,6,8,2,3]=>[1,4,7,5,3,8,2,6]
[3,7,6,2,1,4,5,8]=>[5,1,4,6,7,3,2,8]
[1,6,8,7,2,5,4,3]=>[2,8,7,5,6,4,1,3]
[1,4,8,7,6,3,5,2]=>[6,8,7,2,5,4,1,3]
[3,1,8,4,5,2,7,6]=>[1,4,5,8,6,7,2,3]
[2,3,7,6,1,8,4,5]=>[7,8,5,1,2,4,3,6]
[4,8,5,2,1,3,7,6]=>[1,4,8,5,3,6,7,2]
[5,8,4,2,1,3,7,6]=>[4,1,8,5,3,6,7,2]
[4,6,7,5,2,3,1,8]=>[5,1,2,7,6,4,3,8]
[6,2,5,3,1,8,7,4]=>[8,4,2,3,1,7,5,6]
[6,2,5,3,8,7,1,4]=>[7,3,8,2,1,4,6,5]
[6,4,5,3,8,7,1,2]=>[2,4,3,1,7,8,6,5]
[1,6,4,5,8,7,3,2]=>[8,3,2,4,7,6,1,5]
[8,4,7,5,2,3,1,6]=>[2,5,7,6,4,8,3,1]
[8,2,7,4,5,3,1,6]=>[4,7,6,2,5,8,3,1]
[8,2,4,7,5,3,1,6]=>[7,3,6,2,5,8,4,1]
[8,2,6,7,5,3,1,4]=>[7,6,3,8,2,5,4,1]
[8,4,6,7,5,3,1,2]=>[7,2,3,8,6,5,4,1]
[6,4,5,8,7,3,1,2]=>[2,3,1,7,8,6,5,4]
[6,2,8,7,5,3,1,4]=>[7,6,1,8,5,2,4,3]
[4,6,5,3,8,7,1,2]=>[4,1,3,2,7,8,6,5]
[6,7,2,4,5,3,1,8]=>[4,7,3,1,6,5,2,8]
[6,8,7,4,5,3,1,2]=>[1,7,4,8,6,5,3,2]
[2,8,4,7,5,3,1,6]=>[7,3,6,5,8,1,4,2]
[5,8,7,4,6,3,1,2]=>[7,1,4,8,6,5,3,2]
[6,5,8,4,7,2,1,3]=>[2,1,7,6,4,8,5,3]
[4,8,6,2,5,7,1,3]=>[7,1,4,5,3,8,6,2]
[8,1,6,2,5,7,3,4]=>[7,5,8,4,2,3,6,1]
[6,8,1,2,4,7,3,5]=>[5,7,8,3,1,4,6,2]
[8,1,5,3,2,7,4,6]=>[4,7,3,8,2,5,6,1]
[8,3,7,6,2,5,4,1]=>[8,5,7,2,6,4,3,1]
[4,6,1,3,5,8,2,7]=>[4,1,5,7,2,8,3,6]
[4,5,1,3,8,7,2,6]=>[1,7,2,8,4,6,3,5]
[6,2,7,1,8,3,4,5]=>[6,7,8,2,1,4,3,5]
[6,4,5,8,1,7,2,3]=>[2,7,3,1,8,5,6,4]
[6,2,8,5,1,4,7,3]=>[6,8,5,2,1,4,7,3]
[2,4,7,6,1,8,3,5]=>[7,8,2,5,1,4,3,6]
[7,4,5,8,6,3,2,1]=>[8,2,3,1,7,6,5,4]
[1,6,2,3,8,5,7,4]=>[6,8,7,3,1,2,4,5]
[3,4,2,6,8,5,7,1]=>[1,2,4,6,8,3,7,5]
[1,6,8,5,7,4,3,2]=>[2,4,8,7,6,5,1,3]
[3,8,1,2,4,7,6,5]=>[8,1,7,3,4,5,6,2]
[1,4,5,7,3,6,8,2]=>[2,3,5,6,4,8,1,7]
[2,3,8,1,4,6,5,7]=>[7,1,2,4,5,6,8,3]
[3,6,2,4,7,5,8,1]=>[6,1,3,4,2,5,8,7]
[3,1,8,4,6,2,5,7]=>[1,4,6,7,5,8,2,3]
[4,2,7,3,5,8,1,6]=>[4,1,5,7,2,3,8,6]
[3,1,8,4,5,6,2,7]=>[1,4,5,7,6,8,2,3]
[4,2,7,8,6,3,1,5]=>[7,1,6,3,8,2,5,4]
[7,1,4,2,8,6,3,5]=>[3,7,8,6,2,4,1,5]
[2,3,7,4,8,1,6,5]=>[8,4,6,1,2,3,7,5]
[1,6,3,5,8,7,4,2]=>[8,4,2,7,3,6,1,5]
[8,4,6,3,5,1,7,2]=>[2,4,8,6,5,3,7,1]
[7,3,2,6,8,4,5,1]=>[6,2,4,8,3,1,7,5]
[2,4,5,7,1,6,8,3]=>[2,3,6,8,1,5,4,7]
[8,4,2,6,7,3,5,1]=>[2,6,4,8,3,7,5,1]
[4,1,5,7,8,6,2,3]=>[1,7,3,4,8,6,2,5]
[6,1,4,8,2,3,7,5]=>[3,8,5,6,1,7,2,4]
[7,6,2,3,5,8,4,1]=>[5,8,3,4,2,1,7,6]
[2,8,5,7,6,3,4,1]=>[3,6,8,7,5,1,4,2]
[2,5,7,8,6,4,1,3]=>[7,2,3,8,6,1,5,4]
[7,4,1,6,2,5,8,3]=>[6,2,8,5,3,4,1,7]
[8,7,4,6,2,5,3,1]=>[3,8,5,7,6,4,2,1]
[1,7,5,4,6,2,3,8]=>[6,4,3,7,5,1,2,8]
[6,2,7,5,3,1,4,8]=>[6,5,7,2,1,4,3,8]
[6,1,7,4,8,5,2,3]=>[4,7,3,1,8,6,2,5]
[8,2,4,6,3,1,7,5]=>[3,5,8,2,6,4,7,1]
[5,6,2,4,8,7,3,1]=>[1,8,4,2,7,3,6,5]
[8,5,6,2,3,7,4,1]=>[8,4,2,5,3,7,6,1]
[7,8,1,4,5,6,2,3]=>[4,7,5,8,3,1,6,2]
[8,3,1,2,5,4,7,6]=>[5,2,8,3,4,6,7,1]
[8,1,5,3,7,4,2,6]=>[7,4,3,6,8,2,5,1]
[1,2,6,7,8,3,5,4]=>[3,8,6,4,7,1,2,5]
[1,2,4,8,6,7,3,5]=>[7,5,8,3,6,1,2,4]
[8,1,2,6,5,7,3,4]=>[7,5,4,8,2,3,6,1]
[7,1,2,6,5,8,3,4]=>[7,5,4,8,2,3,1,6]
[7,4,8,3,5,6,2,1]=>[2,4,5,1,8,7,6,3]
[2,6,1,4,7,5,8,3]=>[6,4,5,1,2,8,3,7]
[3,1,5,7,2,6,8,4]=>[1,3,6,8,5,2,4,7]
[3,1,7,5,2,6,8,4]=>[6,1,4,8,5,2,3,7]
[3,2,7,5,1,6,8,4]=>[6,1,4,8,2,5,3,7]
[5,2,7,3,1,6,8,4]=>[4,6,1,8,2,5,3,7]
[6,7,2,1,3,4,8,5]=>[3,8,4,5,1,6,2,7]
[4,6,3,1,2,7,8,5]=>[1,6,3,8,4,2,5,7]
[2,3,5,6,8,4,7,1]=>[3,4,6,8,1,2,7,5]
[2,4,5,8,3,6,7,1]=>[2,3,5,6,8,1,7,4]
[4,5,8,7,6,3,1,2]=>[7,8,1,2,6,5,4,3]
[8,7,4,6,5,3,1,2]=>[3,7,8,6,5,4,2,1]
[8,1,4,3,6,2,5,7]=>[4,3,6,7,2,5,8,1]
[8,1,5,7,6,4,3,2]=>[8,3,7,6,5,2,4,1]
[1,6,3,7,8,4,2,5]=>[7,6,3,2,4,8,1,5]
[5,3,8,4,6,7,2,1]=>[4,1,5,8,2,7,6,3]
[4,3,5,8,6,7,2,1]=>[1,5,8,2,3,7,6,4]
[3,2,7,8,5,6,4,1]=>[5,3,8,1,7,2,6,4]
[4,7,3,8,5,6,2,1]=>[5,8,1,3,2,7,6,4]
[7,1,4,8,5,6,3,2]=>[5,8,3,7,6,2,1,4]
[4,3,8,7,2,5,6,1]=>[1,5,6,8,2,7,4,3]
[1,7,3,8,6,4,5,2]=>[6,8,7,3,2,5,1,4]
[7,4,2,8,5,6,3,1]=>[2,5,8,7,3,1,6,4]
[3,4,8,2,6,7,5,1]=>[5,8,1,2,4,7,6,3]
[1,6,3,8,7,4,5,2]=>[6,2,8,7,3,5,1,4]
[1,4,5,8,7,6,2,3]=>[7,8,2,3,6,5,1,4]
[5,2,1,3,8,4,6,7]=>[2,6,7,1,8,3,4,5]
[1,4,3,5,8,2,6,7]=>[3,2,4,6,7,8,1,5]
[2,1,3,8,6,4,5,7]=>[6,7,1,5,8,2,3,4]
[1,3,6,4,5,8,2,7]=>[4,5,2,3,7,8,1,6]
[6,1,4,3,5,8,2,7]=>[4,3,5,7,1,8,2,6]
[6,5,1,3,8,2,4,7]=>[4,6,7,2,1,8,3,5]
[1,4,3,8,6,2,5,7]=>[2,6,7,3,5,8,1,4]
[4,1,3,8,6,2,5,7]=>[6,1,7,3,5,8,2,4]
[7,1,5,4,6,3,8,2]=>[4,3,6,5,8,2,1,7]
[6,4,7,8,3,5,1,2]=>[7,2,1,5,3,8,6,4]
[3,5,6,7,1,8,4,2]=>[2,3,8,1,7,5,4,6]
[3,5,2,4,8,6,7,1]=>[6,1,2,8,3,4,7,5]
[3,7,6,1,4,8,5,2]=>[8,5,7,1,4,3,2,6]
[8,4,7,1,5,6,2,3]=>[2,7,5,8,4,6,3,1]
[2,7,8,3,6,1,5,4]=>[8,4,6,2,7,1,5,3]
[1,7,8,3,6,2,5,4]=>[8,4,6,2,7,5,1,3]
[7,4,3,5,8,1,6,2]=>[3,2,4,8,6,1,7,5]
[7,3,6,4,1,8,5,2]=>[4,8,2,7,5,3,1,6]
[7,8,4,3,6,1,5,2]=>[4,3,8,6,1,7,5,2]
[7,1,6,4,3,8,5,2]=>[4,8,5,3,7,2,1,6]
[8,7,3,4,1,5,2,6]=>[3,7,5,4,6,8,2,1]
[7,2,6,4,3,8,5,1]=>[4,8,5,2,3,1,7,6]
[1,7,5,4,3,8,2,6]=>[5,4,3,7,2,8,1,6]
[4,5,8,1,7,3,2,6]=>[1,2,7,6,8,4,5,3]
[4,6,7,1,3,8,2,5]=>[1,5,7,2,8,4,3,6]
[2,6,3,1,4,7,8,5]=>[3,6,8,1,4,2,5,7]
[2,7,3,4,1,8,5,6]=>[3,4,7,8,1,5,2,6]
[8,6,4,5,1,3,7,2]=>[6,3,8,5,4,2,7,1]
[7,4,8,5,3,6,1,2]=>[7,2,5,4,1,8,6,3]
[8,4,6,5,1,3,7,2]=>[2,6,8,5,4,3,7,1]
[4,5,3,8,7,1,2,6]=>[1,3,2,6,7,8,5,4]
[8,5,4,7,6,1,2,3]=>[6,3,2,7,8,5,4,1]
[7,5,8,2,4,3,1,6]=>[7,4,2,6,5,1,8,3]
[2,3,7,8,1,4,6,5]=>[8,5,6,1,2,3,7,4]
[8,2,3,5,4,1,7,6]=>[5,2,3,4,8,6,7,1]
[7,1,3,8,2,4,6,5]=>[8,3,5,6,7,2,1,4]
[7,2,3,6,4,1,8,5]=>[5,8,2,3,6,4,1,7]
[6,5,2,4,1,8,3,7]=>[7,3,4,2,1,8,5,6]
[5,7,2,4,1,3,8,6]=>[8,3,1,5,4,6,2,7]
[6,2,5,4,1,8,3,7]=>[7,4,2,3,1,8,5,6]
[4,2,6,3,5,8,1,7]=>[4,1,5,2,3,7,8,6]
[7,4,2,6,8,5,3,1]=>[2,4,8,7,3,1,6,5]
[8,5,2,4,6,3,1,7]=>[4,7,3,2,6,5,8,1]
[7,4,1,2,8,5,6,3]=>[6,2,8,7,3,4,1,5]
[6,4,1,8,5,2,3,7]=>[6,2,7,5,1,8,3,4]
[8,4,1,6,3,5,2,7]=>[5,2,7,6,3,4,8,1]
[7,3,4,1,6,8,5,2]=>[2,3,5,8,7,4,1,6]
[8,6,2,3,5,7,4,1]=>[5,8,3,4,2,7,6,1]
[8,6,2,5,7,3,4,1]=>[6,4,8,3,2,7,5,1]
[6,3,4,8,5,1,2,7]=>[2,3,6,1,7,5,8,4]
[8,5,1,2,7,4,6,3]=>[6,8,7,3,2,4,5,1]
[7,2,6,8,3,4,5,1]=>[5,6,3,8,2,1,7,4]
[1,6,7,5,4,8,2,3]=>[2,7,5,4,3,8,1,6]
[1,8,5,4,2,6,3,7]=>[7,5,4,3,6,8,1,2]
[5,7,3,6,2,1,4,8]=>[3,1,6,5,7,4,2,8]
[5,8,6,1,2,4,3,7]=>[7,4,1,5,6,3,8,2]
[4,1,5,7,3,6,8,2]=>[3,1,5,6,4,8,2,7]
[1,4,5,7,6,8,2,3]=>[7,2,3,5,4,8,1,6]
[5,7,2,1,6,8,4,3]=>[5,1,8,3,7,4,2,6]
[2,6,3,1,7,8,5,4]=>[5,8,3,1,2,7,4,6]
[6,2,5,7,4,1,8,3]=>[3,8,6,2,1,5,4,7]
[3,6,1,8,7,4,5,2]=>[6,2,8,1,7,5,3,4]
[4,7,1,3,5,6,8,2]=>[4,1,5,6,8,3,2,7]
[4,3,5,7,8,2,6,1]=>[1,6,2,3,4,8,7,5]
[5,3,2,7,6,4,1,8]=>[7,2,1,6,3,5,4,8]
[5,3,7,4,6,2,1,8]=>[4,1,7,2,6,5,3,8]
[5,7,3,2,1,8,6,4]=>[3,1,8,4,7,5,2,6]
[5,7,6,3,2,1,8,4]=>[1,5,4,8,6,3,2,7]
[3,2,7,5,4,1,8,6]=>[5,1,4,8,2,6,3,7]
[1,7,3,5,4,2,6,8]=>[6,3,5,4,7,1,2,8]
[5,3,7,4,1,8,6,2]=>[4,1,8,2,7,5,3,6]
[7,3,5,4,1,6,8,2]=>[6,2,4,3,8,5,1,7]
[7,5,1,6,8,3,2,4]=>[7,6,4,2,8,3,1,5]
[5,3,1,7,6,8,2,4]=>[7,2,1,5,4,8,3,6]
[7,1,5,3,2,4,8,6]=>[4,8,5,2,3,6,1,7]
[7,1,5,2,4,3,6,8]=>[6,4,5,2,3,7,1,8]
[6,8,7,3,2,1,5,4]=>[5,4,1,8,6,7,3,2]
[3,6,8,7,2,4,1,5]=>[5,2,7,1,6,8,4,3]
[5,7,3,6,2,1,8,4]=>[3,1,5,8,6,4,2,7]
[3,6,5,2,4,8,1,7]=>[4,5,1,3,2,7,8,6]
[1,8,3,6,2,4,7,5]=>[8,3,5,6,4,7,1,2]
[1,8,7,5,6,4,2,3]=>[7,4,8,6,5,3,1,2]
[6,8,2,1,5,4,3,7]=>[7,3,6,4,1,5,8,2]
[6,3,2,1,5,8,4,7]=>[3,2,5,7,1,8,4,6]
[4,3,5,6,2,8,1,7]=>[2,1,3,5,4,7,8,6]
[6,3,5,2,7,8,4,1]=>[5,2,3,1,8,4,7,6]
[4,5,3,1,6,8,2,7]=>[1,5,3,2,7,8,4,6]
[3,4,6,7,5,1,8,2]=>[3,8,1,2,6,5,4,7]
[7,4,1,2,5,6,8,3]=>[5,6,2,8,3,4,1,7]
[4,8,2,6,7,1,5,3]=>[8,1,6,3,4,7,5,2]
[6,5,8,3,7,1,4,2]=>[4,2,1,8,6,7,5,3]
[1,5,2,4,7,6,8,3]=>[6,4,2,5,8,1,3,7]
[2,5,4,7,1,8,3,6]=>[3,2,7,8,1,5,4,6]
[1,5,4,7,3,8,2,6]=>[3,2,5,7,4,8,1,6]
[1,2,6,7,3,5,4,8]=>[7,5,3,6,1,2,4,8]
[8,1,2,4,6,3,5,7]=>[4,6,7,2,3,5,8,1]
[3,7,8,4,5,6,1,2]=>[4,7,5,1,2,8,6,3]
[1,3,8,6,7,4,5,2]=>[6,4,8,7,2,5,1,3]
[2,6,5,3,7,1,8,4]=>[8,4,3,1,2,6,5,7]
[5,7,1,3,6,4,8,2]=>[6,4,1,5,8,3,2,7]
[8,2,5,4,1,7,3,6]=>[7,4,2,3,8,5,6,1]
[8,1,7,6,4,2,3,5]=>[6,7,5,8,4,2,3,1]
[1,8,6,3,7,4,5,2]=>[6,8,4,3,7,5,1,2]
[5,7,3,4,2,8,6,1]=>[3,1,4,8,5,2,7,6]
[5,8,3,4,2,7,6,1]=>[3,1,4,8,5,7,6,2]
[7,6,4,2,3,8,5,1]=>[8,4,3,5,2,1,7,6]
[3,5,6,8,2,4,7,1]=>[2,5,1,3,6,8,7,4]
[4,8,7,3,2,5,6,1]=>[5,1,4,6,8,7,3,2]
[3,7,4,2,6,8,5,1]=>[3,5,8,1,4,2,7,6]
[6,4,8,7,3,2,5,1]=>[6,2,1,5,8,7,4,3]
[5,6,2,8,7,4,3,1]=>[1,2,8,7,6,3,5,4]
[6,2,8,3,7,4,5,1]=>[6,8,4,1,7,2,5,3]
[3,7,5,6,4,2,8,1]=>[3,6,5,1,4,2,8,7]
[5,2,3,8,6,1,4,7]=>[6,7,2,1,3,5,8,4]
[1,4,3,8,5,6,2,7]=>[2,5,7,3,6,8,1,4]
[7,8,2,6,4,3,5,1]=>[6,5,8,3,1,7,4,2]
[4,5,8,7,2,3,6,1]=>[1,2,5,6,8,7,4,3]
[7,8,6,1,4,2,5,3]=>[8,6,4,5,1,7,3,2]
[8,3,6,5,2,7,1,4]=>[5,7,2,4,3,8,6,1]
[5,1,3,6,4,2,7,8]=>[6,3,5,2,1,4,7,8]
[6,1,2,4,7,5,3,8]=>[7,4,6,2,3,1,5,8]
[8,3,1,4,6,7,2,5]=>[2,7,4,5,8,3,6,1]
[7,8,5,1,2,6,3,4]=>[7,8,4,5,3,1,6,2]
[6,4,5,1,8,7,3,2]=>[2,3,1,8,7,6,4,5]
[8,6,2,1,7,3,5,4]=>[8,3,6,7,4,2,5,1]
[4,3,6,2,5,7,1,8]=>[2,1,4,5,3,7,6,8]
[1,6,5,7,3,4,8,2]=>[5,3,2,6,4,8,1,7]
[8,2,6,5,1,7,4,3]=>[8,7,5,2,4,3,6,1]
[7,6,4,1,2,5,8,3]=>[6,8,4,3,5,2,1,7]
[2,6,5,4,8,7,1,3]=>[4,3,2,7,8,1,6,5]
[5,6,7,1,3,2,4,8]=>[6,4,1,5,2,7,3,8]
[7,1,8,4,3,2,6,5]=>[5,4,8,6,7,2,1,3]
[1,8,5,2,7,6,4,3]=>[3,8,7,6,4,5,1,2]
[1,7,6,8,2,5,4,3]=>[8,7,5,3,2,6,1,4]
[1,7,8,6,2,5,4,3]=>[8,7,5,2,6,4,1,3]
[4,6,5,7,1,8,2,3]=>[7,1,3,2,8,5,4,6]
[7,5,3,6,8,4,2,1]=>[4,2,8,3,1,7,6,5]
[7,2,5,6,4,8,3,1]=>[3,5,4,8,2,1,7,6]
[7,4,6,2,8,5,3,1]=>[8,2,7,4,3,1,6,5]
[1,6,3,4,2,5,8,7]=>[3,4,8,5,1,2,6,7]
[1,5,7,6,2,3,8,4]=>[2,8,5,6,4,1,3,7]
[1,4,3,7,6,2,5,8]=>[2,6,7,3,5,1,4,8]
[1,3,7,4,6,8,5,2]=>[5,8,4,2,3,7,1,6]
[4,8,3,1,7,6,2,5]=>[1,3,7,8,6,4,5,2]
[2,6,7,5,3,4,1,8]=>[5,2,7,6,1,4,3,8]
[2,4,1,7,5,6,8,3]=>[2,5,6,1,4,8,3,7]
[7,2,4,8,3,5,1,6]=>[3,5,7,2,6,1,8,4]
[5,6,1,4,3,8,7,2]=>[4,1,8,5,2,7,3,6]
[5,8,6,4,3,1,7,2]=>[8,1,6,5,4,3,7,2]
[4,1,3,7,8,6,5,2]=>[1,4,8,7,3,6,2,5]
[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]
[8,1,2,3,4,5,6,9,7]=>[9,2,3,4,5,6,7,1,8]
[7,1,2,3,4,5,9,6,8]=>[8,9,2,3,4,5,1,6,7]
[9,1,2,3,4,5,8,6,7]=>[8,9,2,3,4,5,6,7,1]
[7,1,2,3,4,5,8,9,6]=>[7,9,2,3,4,5,1,6,8]
[6,1,2,3,4,9,5,7,8]=>[7,8,9,2,3,1,4,5,6]
[6,1,2,3,4,8,5,9,7]=>[9,7,2,3,4,1,5,6,8]
[9,1,2,3,4,7,5,6,8]=>[7,8,2,3,4,5,6,9,1]
[9,1,2,3,4,8,5,6,7]=>[7,8,9,2,3,4,5,6,1]
[8,1,2,3,4,7,5,9,6]=>[9,7,2,3,4,5,6,1,8]
[6,1,2,3,4,7,9,5,8]=>[6,8,9,2,3,1,4,5,7]
[6,1,2,3,4,9,8,5,7]=>[8,9,7,2,3,1,4,5,6]
[9,1,2,3,4,7,8,5,6]=>[8,6,9,2,3,4,5,7,1]
[6,1,2,3,4,7,8,9,5]=>[6,7,9,2,3,1,4,5,8]
[5,1,2,3,9,4,6,7,8]=>[6,7,8,1,9,2,3,4,5]
[5,1,2,3,8,4,6,9,7]=>[9,6,7,2,1,3,4,5,8]
[9,1,2,3,6,4,5,7,8]=>[6,7,2,3,4,5,8,9,1]
[8,1,2,3,9,4,5,6,7]=>[6,7,8,9,2,3,4,1,5]
[5,1,2,3,9,8,4,6,7]=>[7,8,1,9,6,2,3,4,5]
[9,1,2,3,6,8,4,5,7]=>[7,5,8,9,2,3,4,6,1]
[5,1,2,3,6,9,8,4,7]=>[8,9,5,1,7,2,3,4,6]
[5,1,2,3,6,7,8,9,4]=>[5,6,7,1,9,2,3,4,8]
[4,1,2,8,3,5,6,9,7]=>[9,5,1,6,7,2,3,4,8]
[4,1,2,9,3,5,8,6,7]=>[8,1,9,5,6,7,2,3,4]
[4,1,2,9,3,8,5,6,7]=>[7,1,8,9,5,6,2,3,4]
[9,1,2,5,3,4,6,7,8]=>[5,6,2,3,4,7,8,9,1]
[9,1,2,8,3,4,5,6,7]=>[5,6,7,8,9,2,3,4,1]
[7,1,2,8,3,4,5,9,6]=>[9,5,6,7,2,3,1,4,8]
[4,1,2,5,9,3,6,7,8]=>[4,6,1,7,8,9,2,3,5]
[4,1,2,8,9,3,5,6,7]=>[6,1,7,8,4,9,2,3,5]
[8,1,2,5,9,3,4,6,7]=>[6,4,7,8,9,2,3,1,5]
[8,1,2,9,6,3,4,5,7]=>[6,7,8,5,9,2,3,1,4]
[4,1,2,5,9,8,3,6,7]=>[7,1,8,9,4,6,2,3,5]
[9,1,2,8,6,7,3,4,5]=>[7,8,5,9,6,2,3,4,1]
[4,1,2,5,6,7,9,3,8]=>[4,5,1,6,8,9,2,3,7]
[4,1,2,9,6,7,8,3,5]=>[1,5,8,6,9,7,2,3,4]
[9,1,2,5,6,7,8,3,4]=>[4,5,8,6,9,2,3,7,1]
[4,1,2,5,6,7,8,9,3]=>[4,5,1,6,7,9,2,3,8]
[3,1,9,2,4,5,6,7,8]=>[4,1,5,6,7,8,9,2,3]
[3,1,8,2,4,5,6,9,7]=>[1,9,4,5,6,7,2,3,8]
[3,1,9,2,4,5,8,6,7]=>[1,8,9,4,5,6,7,2,3]
[3,1,5,2,7,4,9,6,8]=>[1,3,8,5,9,2,4,6,7]
[8,1,4,2,3,5,6,9,7]=>[9,4,2,3,5,6,7,1,8]
[9,1,4,2,3,5,8,6,7]=>[8,3,9,2,4,5,6,7,1]
[6,1,4,2,3,7,8,9,5]=>[6,3,7,9,2,1,4,5,8]
[9,1,8,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1]
[8,1,7,2,3,4,5,9,6]=>[9,4,5,6,7,2,3,1,8]
[3,1,4,9,2,5,6,7,8]=>[3,1,5,6,7,8,9,2,4]
[3,1,4,9,2,5,8,6,7]=>[1,8,9,3,5,6,7,2,4]
[3,1,9,8,2,4,5,6,7]=>[1,5,6,7,8,9,4,2,3]
[9,1,4,5,2,3,6,7,8]=>[5,3,6,2,4,7,8,9,1]
[7,1,4,5,2,3,8,9,6]=>[3,7,4,9,2,5,1,6,8]
[7,1,4,9,2,3,5,6,8]=>[5,3,6,7,8,1,9,2,4]
[9,1,4,8,2,3,5,6,7]=>[5,3,6,7,8,9,2,4,1]
[9,1,6,5,2,3,4,7,8]=>[5,6,7,4,2,3,8,9,1]
[7,1,9,6,2,3,4,5,8]=>[5,6,7,8,4,1,9,2,3]
[9,1,8,6,2,3,4,5,7]=>[5,6,7,8,4,9,2,3,1]
[7,1,8,9,2,3,4,5,6]=>[5,6,7,8,3,1,9,2,4]
[3,1,4,8,9,2,5,6,7]=>[1,6,7,8,3,4,9,2,5]
[3,1,8,9,7,2,4,5,6]=>[6,7,8,1,3,9,5,2,4]
[8,1,4,5,6,2,3,9,7]=>[3,4,9,6,2,5,7,1,8]
[8,1,4,9,7,2,3,5,6]=>[3,6,7,8,9,5,2,1,4]
[8,1,9,5,6,2,3,4,7]=>[6,7,4,8,5,9,2,1,3]
[8,1,9,7,6,2,3,4,5]=>[6,7,8,9,5,4,2,1,3]
[7,1,4,5,6,2,8,9,3]=>[3,4,7,5,9,2,1,6,8]
[3,1,4,5,6,9,2,7,8]=>[3,1,4,5,7,8,9,2,6]
[3,1,4,5,6,8,2,9,7]=>[1,9,3,4,5,7,2,6,8]
[3,1,4,9,8,7,2,5,6]=>[7,8,9,1,6,3,5,2,4]
[3,1,9,8,6,7,2,4,5]=>[7,8,5,9,1,6,4,2,3]
[9,1,4,5,6,7,2,3,8]=>[3,4,7,5,8,2,6,9,1]
[9,1,4,8,6,7,2,3,5]=>[7,8,3,5,9,6,2,4,1]
[9,1,8,5,6,7,2,3,4]=>[7,4,8,5,9,6,2,3,1]
[8,1,4,5,6,7,2,9,3]=>[3,4,5,9,7,2,6,1,8]
[3,1,4,5,6,7,9,2,8]=>[3,1,4,5,6,8,9,2,7]
[3,1,4,9,6,7,8,2,5]=>[5,8,1,6,9,3,7,2,4]
[3,1,9,5,6,7,8,2,4]=>[4,5,8,1,6,9,7,2,3]
[9,1,4,5,6,7,8,2,3]=>[3,4,5,8,6,9,2,7,1]
[3,1,4,5,6,7,8,9,2]=>[3,1,4,5,6,7,9,2,8]
[2,9,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]
[2,8,1,3,4,5,6,9,7]=>[9,1,3,4,5,6,7,2,8]
[2,7,1,3,4,5,9,6,8]=>[8,9,1,3,4,5,2,6,7]
[2,9,1,3,4,5,8,6,7]=>[8,9,1,3,4,5,6,7,2]
[2,7,1,3,4,5,8,9,6]=>[7,9,1,3,4,5,2,6,8]
[2,6,1,3,4,9,5,7,8]=>[7,8,9,1,3,2,4,5,6]
[2,9,1,3,4,8,5,6,7]=>[7,8,9,1,3,4,5,6,2]
[2,8,1,3,9,4,5,6,7]=>[6,7,8,9,1,3,4,2,5]
[2,9,1,3,8,7,4,5,6]=>[7,8,9,6,1,3,4,5,2]
[2,9,1,3,6,7,8,4,5]=>[5,8,6,9,1,3,4,7,2]
[2,5,1,3,6,7,8,9,4]=>[5,6,1,2,7,9,3,4,8]
[2,4,1,6,3,8,5,9,7]=>[2,4,9,1,7,3,5,6,8]
[2,9,1,8,3,4,5,6,7]=>[5,6,7,8,9,1,3,4,2]
[2,7,1,6,3,4,8,9,5]=>[7,9,5,1,3,4,2,6,8]
[2,6,1,5,3,7,8,9,4]=>[6,4,7,1,2,9,3,5,8]
[2,4,1,5,9,3,6,7,8]=>[4,1,2,6,7,8,9,3,5]
[2,4,1,8,9,3,5,6,7]=>[2,6,7,8,1,4,9,3,5]
[2,8,1,9,7,3,4,5,6]=>[6,7,8,9,5,1,3,2,4]
[2,9,1,8,6,7,3,4,5]=>[7,8,5,9,6,1,3,4,2]
[2,4,1,5,6,7,9,3,8]=>[4,1,2,5,6,8,9,3,7]
[2,4,1,5,6,9,8,3,7]=>[2,8,9,1,4,5,7,3,6]
[2,9,1,5,6,7,8,3,4]=>[4,5,8,6,9,1,3,7,2]
[2,4,1,5,6,7,8,9,3]=>[4,1,2,5,6,7,9,3,8]
[9,3,1,2,4,5,6,7,8]=>[3,4,2,5,6,7,8,9,1]
[8,3,1,2,4,5,6,9,7]=>[9,3,2,4,5,6,7,1,8]
[9,3,1,2,4,5,8,6,7]=>[8,2,9,3,4,5,6,7,1]
[6,3,1,2,4,7,8,9,5]=>[6,2,7,9,3,1,4,5,8]
[9,3,1,2,6,7,8,4,5]=>[2,5,8,6,9,3,4,7,1]
[5,3,1,2,6,7,8,9,4]=>[5,2,6,1,7,9,3,4,8]
[9,4,1,2,3,5,6,7,8]=>[3,4,5,2,6,7,8,9,1]
[7,4,1,2,3,5,8,9,6]=>[7,9,3,2,4,5,1,6,8]
[6,4,1,2,3,7,8,9,5]=>[6,7,2,9,3,1,4,5,8]
[5,9,1,2,3,4,6,7,8]=>[3,4,5,1,6,7,8,9,2]
[5,8,1,2,3,4,6,9,7]=>[9,3,4,1,5,6,7,2,8]
[5,7,1,2,3,4,8,9,6]=>[7,9,3,1,4,5,2,6,8]
[9,6,1,2,3,4,5,7,8]=>[3,4,5,6,7,2,8,9,1]
[8,6,1,2,3,4,5,9,7]=>[9,3,4,5,6,2,7,1,8]
[9,7,1,2,3,4,5,6,8]=>[3,4,5,6,7,8,2,9,1]
[8,9,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,9,2]
[8,7,1,2,3,4,5,9,6]=>[9,3,4,5,6,7,2,1,8]
[7,6,1,2,3,4,9,5,8]=>[8,9,3,4,5,2,1,6,7]
[9,6,1,2,3,4,8,5,7]=>[8,9,3,4,5,2,6,7,1]
[9,7,1,2,3,4,8,5,6]=>[8,9,3,4,5,6,2,7,1]
[7,6,1,2,3,4,8,9,5]=>[7,9,3,4,5,2,1,6,8]
[5,6,1,2,3,9,4,7,8]=>[7,8,1,9,3,2,4,5,6]
[5,9,1,2,3,8,4,6,7]=>[7,8,1,9,3,4,5,6,2]
[9,6,1,2,3,7,4,5,8]=>[7,8,3,4,5,2,6,9,1]
[9,8,1,2,3,7,4,5,6]=>[7,8,9,3,4,5,6,2,1]
[8,6,1,2,3,7,4,9,5]=>[9,7,3,4,5,2,6,1,8]
[5,6,1,2,3,7,9,4,8]=>[6,8,1,9,3,2,4,5,7]
[9,6,1,2,3,7,8,4,5]=>[8,6,9,3,4,2,5,7,1]
[5,6,1,2,3,7,8,9,4]=>[6,7,1,9,3,2,4,5,8]
[5,4,1,2,9,3,6,7,8]=>[6,7,2,1,8,9,3,4,5]
[8,4,1,2,9,3,5,6,7]=>[6,7,2,8,9,3,4,1,5]
[5,9,1,2,6,3,4,7,8]=>[6,7,3,1,4,5,8,9,2]
[5,8,1,2,9,3,4,6,7]=>[6,7,1,8,9,3,4,2,5]
[9,7,1,2,6,3,8,4,5]=>[8,9,6,3,4,5,2,7,1]
[5,4,1,2,6,9,3,7,8]=>[5,7,2,1,8,9,3,4,6]
[9,8,1,2,6,7,3,4,5]=>[7,8,5,9,3,4,6,2,1]
[5,4,1,2,6,7,9,3,8]=>[5,6,2,1,8,9,3,4,7]
[5,4,1,2,6,7,8,9,3]=>[5,6,2,1,7,9,3,4,8]
[4,3,1,9,2,5,6,7,8]=>[5,2,1,6,7,8,9,3,4]
[9,3,1,8,2,4,5,6,7]=>[5,2,6,7,8,9,3,4,1]
[9,4,1,5,2,3,6,7,8]=>[5,6,3,2,4,7,8,9,1]
[9,4,1,8,2,3,5,6,7]=>[5,6,2,7,8,9,3,4,1]
[6,9,1,5,2,3,4,7,8]=>[5,6,7,3,1,4,8,9,2]
[9,7,1,6,2,3,4,5,8]=>[5,6,7,8,3,4,2,9,1]
[8,7,1,9,2,3,4,5,6]=>[5,6,7,8,9,3,2,1,4]
[8,7,1,6,2,3,4,9,5]=>[9,5,6,7,3,4,2,1,8]
[9,4,1,6,2,8,3,5,7]=>[7,2,8,4,9,3,5,6,1]
[9,8,1,6,2,7,3,4,5]=>[7,8,9,5,3,4,6,2,1]
[4,3,1,5,9,2,6,7,8]=>[4,2,1,6,7,8,9,3,5]
[9,8,1,7,6,2,3,4,5]=>[6,7,8,9,5,3,4,2,1]
[4,3,1,5,6,8,2,9,7]=>[2,1,9,4,5,7,3,6,8]
[4,3,1,5,9,8,2,6,7]=>[2,1,7,8,9,4,6,3,5]
[4,3,1,5,8,7,2,9,6]=>[1,9,2,7,4,6,3,5,8]
[8,9,1,5,6,7,2,3,4]=>[7,4,8,5,9,3,1,6,2]
[4,3,1,5,6,7,9,2,8]=>[4,2,1,5,6,8,9,3,7]
[4,3,1,5,6,9,8,2,7]=>[2,1,8,9,4,5,7,3,6]
[9,3,1,5,6,7,8,2,4]=>[2,4,5,8,6,9,3,7,1]
[9,4,1,5,6,7,8,2,3]=>[4,2,5,8,6,9,3,7,1]
[4,3,1,5,6,7,8,9,2]=>[4,2,1,5,6,7,9,3,8]
[2,3,9,1,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]
[2,3,8,1,4,5,6,9,7]=>[9,1,2,4,5,6,7,3,8]
[2,3,9,1,4,5,8,6,7]=>[8,9,1,2,4,5,6,7,3]
[2,3,9,1,4,7,8,5,6]=>[8,6,9,1,2,4,5,7,3]
[2,3,9,1,8,7,4,5,6]=>[7,8,9,6,1,2,4,5,3]
[2,3,8,1,6,7,4,9,5]=>[5,9,7,1,2,4,6,3,8]
[2,3,5,1,6,7,9,4,8]=>[5,1,2,3,6,8,9,4,7]
[2,3,9,1,6,7,8,4,5]=>[5,8,6,9,1,2,4,7,3]
[2,3,5,1,6,7,8,9,4]=>[5,1,2,3,6,7,9,4,8]
[2,9,4,1,3,5,6,7,8]=>[4,5,1,3,6,7,8,9,2]
[2,6,4,1,3,7,8,9,5]=>[6,3,7,1,2,9,4,5,8]
[2,9,5,1,3,4,6,7,8]=>[4,5,6,1,3,7,8,9,2]
[2,6,9,1,3,4,5,7,8]=>[4,5,6,1,2,7,8,9,3]
[2,9,7,1,3,4,5,6,8]=>[4,5,6,7,8,1,3,9,2]
[2,9,8,1,3,4,5,6,7]=>[4,5,6,7,8,9,1,3,2]
[2,6,7,1,3,4,8,9,5]=>[7,9,4,1,2,5,3,6,8]
[2,9,4,1,6,3,5,7,8]=>[6,3,7,1,4,5,8,9,2]
[2,8,4,1,9,3,5,6,7]=>[6,3,7,8,9,1,4,2,5]
[2,9,4,1,6,3,8,5,7]=>[3,8,5,9,1,4,6,7,2]
[2,9,8,1,7,3,4,5,6]=>[6,7,8,9,4,5,1,3,2]
[2,9,5,1,6,7,8,3,4]=>[5,3,8,6,9,1,4,7,2]
[9,3,4,1,2,5,6,7,8]=>[4,2,5,3,6,7,8,9,1]
[6,3,4,1,2,7,8,9,5]=>[2,6,3,7,1,9,4,5,8]
[9,3,7,1,2,4,5,6,8]=>[4,2,5,6,7,8,3,9,1]
[9,3,8,1,2,4,5,6,7]=>[4,2,5,6,7,8,9,3,1]
[9,5,4,1,2,3,6,7,8]=>[4,5,6,3,2,7,8,9,1]
[8,5,4,1,2,3,6,9,7]=>[9,4,5,3,2,6,7,1,8]
[6,9,4,1,2,3,5,7,8]=>[4,5,6,3,1,7,8,9,2]
[6,8,4,1,2,3,5,9,7]=>[9,4,5,3,1,6,7,2,8]
[9,7,4,1,2,3,5,6,8]=>[4,5,6,3,7,8,2,9,1]
[9,8,4,1,2,3,5,6,7]=>[4,5,6,3,7,8,9,2,1]
[6,9,5,1,2,3,4,7,8]=>[4,5,6,1,7,3,8,9,2]
[6,8,5,1,2,3,4,9,7]=>[9,4,5,1,6,3,7,2,8]
[8,7,5,1,2,3,4,9,6]=>[9,4,5,6,3,7,2,1,8]
[6,7,9,1,2,3,4,5,8]=>[4,5,6,1,7,2,8,9,3]
[6,9,8,1,2,3,4,5,7]=>[4,5,6,1,7,8,9,3,2]
[9,7,8,1,2,3,4,5,6]=>[4,5,6,7,8,2,9,3,1]
[6,7,8,1,2,3,4,9,5]=>[9,4,5,1,6,2,7,3,8]
[6,5,4,1,2,8,3,9,7]=>[9,7,4,3,2,1,5,6,8]
[9,8,5,1,7,2,3,4,6]=>[6,7,8,3,9,4,5,2,1]
[7,8,9,1,6,2,3,4,5]=>[6,7,8,1,9,4,2,5,3]
[7,8,5,1,6,2,3,9,4]=>[9,6,7,4,3,1,5,2,8]
[5,3,4,1,6,8,2,9,7]=>[2,3,1,9,5,7,4,6,8]
[9,3,4,1,8,7,2,5,6]=>[2,3,7,8,9,6,4,5,1]
[8,3,4,1,6,7,2,9,5]=>[2,3,5,9,7,4,6,1,8]
[9,5,4,1,8,7,2,3,6]=>[7,3,2,8,9,6,4,5,1]
[8,5,4,1,6,7,2,9,3]=>[5,3,2,9,7,4,6,1,8]
[5,3,4,1,9,7,8,2,6]=>[8,2,1,3,6,9,7,4,5]
[9,3,5,1,6,7,8,2,4]=>[5,2,3,8,6,9,4,7,1]
[9,5,4,1,6,7,8,2,3]=>[5,3,2,8,6,9,4,7,1]
[5,3,4,1,6,7,8,9,2]=>[2,5,3,1,6,7,9,4,8]
[2,3,4,9,1,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]
[2,3,4,9,1,5,8,6,7]=>[8,9,1,2,3,5,6,7,4]
[2,3,4,9,1,7,8,5,6]=>[8,6,9,1,2,3,5,7,4]
[2,3,4,6,1,7,8,9,5]=>[6,1,2,3,4,7,9,5,8]
[2,3,9,5,1,4,6,7,8]=>[5,6,1,2,4,7,8,9,3]
[2,3,9,6,1,4,5,7,8]=>[5,6,7,1,2,4,8,9,3]
[2,3,7,9,1,4,5,6,8]=>[5,6,7,1,2,3,8,9,4]
[2,3,9,8,1,4,5,6,7]=>[5,6,7,8,9,1,2,4,3]
[2,3,9,5,1,7,4,6,8]=>[7,4,8,1,2,5,6,9,3]
[2,3,9,6,1,7,8,4,5]=>[8,6,4,9,1,2,5,7,3]
[2,9,4,5,1,3,6,7,8]=>[5,3,6,1,4,7,8,9,2]
[2,7,4,5,1,3,8,9,6]=>[3,7,4,9,1,5,2,6,8]
[2,9,8,6,1,3,4,5,7]=>[5,6,7,8,4,9,1,3,2]
[2,7,8,9,1,3,4,5,6]=>[5,6,7,2,8,1,3,9,4]
[2,8,9,6,1,7,3,4,5]=>[7,8,9,5,4,1,2,6,3]
[2,9,6,5,1,7,8,3,4]=>[8,6,4,3,9,1,5,7,2]
[7,3,4,5,1,2,8,9,6]=>[2,3,7,4,9,5,1,6,8]
[9,3,4,8,1,2,5,6,7]=>[2,5,3,6,7,8,9,4,1]
[7,3,4,8,1,2,5,9,6]=>[2,3,9,5,6,1,7,4,8]
[7,3,8,9,1,2,4,5,6]=>[2,5,6,7,1,8,3,9,4]
[9,8,4,5,1,2,3,6,7]=>[5,6,3,7,4,8,9,2,1]
[7,8,4,6,1,2,3,9,5]=>[9,5,3,6,1,7,4,2,8]
[9,8,6,5,1,2,3,4,7]=>[5,6,7,8,4,3,9,2,1]
[7,8,9,6,1,2,3,4,5]=>[5,6,7,1,8,2,9,4,3]
[7,8,6,5,1,2,3,9,4]=>[9,5,6,1,7,4,3,2,8]
[8,3,9,6,1,7,2,4,5]=>[7,8,9,2,5,4,1,6,3]
[8,3,6,5,1,7,2,9,4]=>[9,7,2,5,4,3,6,1,8]
[8,6,4,5,1,7,2,9,3]=>[3,9,7,5,4,2,6,1,8]
[6,3,4,5,1,7,9,2,8]=>[2,3,6,4,1,8,9,5,7]
[6,3,4,5,1,9,8,2,7]=>[2,3,4,1,8,9,7,5,6]
[9,3,4,6,1,7,8,2,5]=>[8,2,3,6,4,9,5,7,1]
[6,3,4,5,1,7,8,9,2]=>[2,3,6,4,1,7,9,5,8]
[2,3,4,5,9,1,6,7,8]=>[1,2,3,4,6,7,8,9,5]
[2,3,4,5,8,1,6,9,7]=>[9,1,2,3,4,6,7,5,8]
[2,3,4,5,9,1,8,6,7]=>[8,9,1,2,3,4,6,7,5]
[2,3,4,5,7,1,8,9,6]=>[7,1,2,3,4,5,9,6,8]
[2,3,4,9,6,1,5,7,8]=>[6,7,1,2,3,5,8,9,4]
[2,3,4,9,7,1,5,6,8]=>[6,7,8,1,2,3,5,9,4]
[2,3,4,9,6,1,8,5,7]=>[8,5,9,1,2,3,6,7,4]
[2,3,4,9,7,1,8,5,6]=>[8,9,6,1,2,3,5,7,4]
[2,3,9,5,6,1,4,7,8]=>[6,4,7,1,2,5,8,9,3]
[2,3,8,5,6,1,4,9,7]=>[4,9,6,1,2,5,7,3,8]
[2,3,9,5,6,1,8,4,7]=>[4,8,5,9,1,2,6,7,3]
[2,8,4,5,6,1,3,9,7]=>[3,4,9,6,1,5,7,2,8]
[2,8,9,5,7,1,3,4,6]=>[6,7,4,8,2,9,1,5,3]
[2,8,9,7,6,1,3,4,5]=>[6,7,8,2,9,5,1,4,3]
[2,9,7,5,6,1,8,3,4]=>[8,4,9,6,5,1,3,7,2]
[8,3,4,5,6,1,2,9,7]=>[2,3,4,9,6,5,7,1,8]
[8,3,4,7,6,1,2,9,5]=>[9,2,3,6,7,5,4,1,8]
[8,3,9,7,6,1,2,4,5]=>[6,7,8,9,2,1,5,4,3]
[8,3,7,5,6,1,2,9,4]=>[9,6,2,4,7,5,3,1,8]
[9,7,4,5,6,1,2,3,8]=>[6,3,7,4,8,5,2,9,1]
[8,9,4,5,6,1,2,3,7]=>[6,3,7,4,8,5,1,9,2]
[8,9,7,5,6,1,2,3,4]=>[6,7,8,4,1,9,5,3,2]
[8,7,4,5,6,1,2,9,3]=>[3,9,6,4,7,5,2,1,8]
[7,3,4,5,6,1,9,2,8]=>[2,3,4,8,5,1,9,6,7]
[9,3,4,5,6,1,8,2,7]=>[2,3,4,8,5,9,6,7,1]
[9,3,7,5,6,1,8,2,4]=>[8,4,9,2,6,5,3,7,1]
[7,3,4,5,6,1,8,9,2]=>[2,3,4,7,5,1,9,6,8]
[2,3,4,5,6,9,1,7,8]=>[1,2,3,4,5,7,8,9,6]
[2,3,4,5,6,8,1,9,7]=>[9,1,2,3,4,5,7,6,8]
[2,3,4,5,9,7,1,6,8]=>[7,8,1,2,3,4,6,9,5]
[2,3,4,5,9,8,1,6,7]=>[7,8,9,1,2,3,4,6,5]
[2,3,4,9,6,7,1,5,8]=>[7,5,8,1,2,3,6,9,4]
[2,3,9,5,6,7,1,4,8]=>[4,7,5,8,1,2,6,9,3]
[2,3,9,5,6,8,1,4,7]=>[4,7,5,8,9,1,2,6,3]
[2,9,4,5,6,7,1,3,8]=>[3,4,7,5,8,1,6,9,2]
[2,9,4,5,6,8,1,3,7]=>[3,4,7,5,8,9,1,6,2]
[2,9,4,5,8,7,1,3,6]=>[3,4,7,8,9,6,1,5,2]
[2,9,4,8,6,7,1,3,5]=>[7,8,3,5,9,6,1,4,2]
[2,9,8,5,6,7,1,3,4]=>[7,4,8,5,9,6,1,3,2]
[2,8,4,5,6,7,1,9,3]=>[3,4,5,9,7,1,6,2,8]
[9,3,4,5,6,7,1,2,8]=>[2,3,4,7,5,8,6,9,1]
[9,3,4,5,6,8,1,2,7]=>[2,3,4,7,5,8,9,6,1]
[9,8,4,5,6,7,1,2,3]=>[3,7,4,8,5,9,6,2,1]
[8,3,4,5,6,7,1,9,2]=>[2,3,4,5,9,7,6,1,8]
[2,3,4,5,6,7,9,1,8]=>[1,2,3,4,5,6,8,9,7]
[2,3,4,5,6,9,8,1,7]=>[8,9,1,2,3,4,5,7,6]
[2,3,4,5,9,7,8,1,6]=>[8,6,9,1,2,3,4,7,5]
[2,3,4,9,6,7,8,1,5]=>[5,8,6,9,1,2,3,7,4]
[2,3,9,5,6,7,8,1,4]=>[4,5,8,6,9,1,2,7,3]
[2,9,4,5,6,7,8,1,3]=>[3,4,5,8,6,9,1,7,2]
[9,3,4,5,6,7,8,1,2]=>[2,3,4,5,8,6,9,7,1]
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,9,8]
[2,3,4,5,6,7,8,1,9]=>[1,2,3,4,5,6,8,7,9]
[2,3,4,5,6,8,9,1,7]=>[8,1,2,3,4,5,6,9,7]
[2,3,4,5,7,8,9,1,6]=>[5,8,1,2,3,4,6,9,7]
[2,3,4,6,7,8,9,1,5]=>[4,5,8,1,2,3,6,9,7]
[2,3,5,6,7,8,9,1,4]=>[3,4,5,8,1,2,6,9,7]
[2,4,5,6,7,8,9,1,3]=>[2,3,4,5,8,1,6,9,7]
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,8,6,9,7]
[2,3,4,5,6,7,1,8,9]=>[1,2,3,4,5,7,6,8,9]
[2,3,4,5,6,1,9,7,8]=>[1,2,3,4,5,8,9,6,7]
[2,3,4,5,1,8,9,6,7]=>[8,1,2,3,4,6,9,5,7]
[2,3,4,1,7,8,9,5,6]=>[5,8,1,2,3,6,9,4,7]
[2,3,1,6,7,8,9,4,5]=>[4,5,8,1,2,6,9,3,7]
[2,1,5,6,7,8,9,3,4]=>[3,4,5,8,1,6,9,2,7]
[1,4,5,6,7,8,9,2,3]=>[2,3,4,5,8,6,9,1,7]
[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]
[1,8,2,3,4,5,6,9,7]=>[9,3,4,5,6,7,1,2,8]
[7,1,2,3,4,5,6,9,8]=>[9,2,3,4,5,6,1,7,8]
[2,1,9,3,4,5,6,7,8]=>[1,4,5,6,7,8,9,2,3]
[2,8,1,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,8,9,7]=>[7,9,1,2,3,4,5,6,8]
[1,2,3,4,5,7,8,9,6]=>[6,7,9,1,2,3,4,5,8]
[1,2,3,4,6,7,8,9,5]=>[5,6,7,9,1,2,3,4,8]
[1,2,3,5,6,7,8,9,4]=>[4,5,6,7,9,1,2,3,8]
[1,2,4,5,6,7,8,9,3]=>[3,4,5,6,7,9,1,2,8]
[1,3,4,5,6,7,8,9,2]=>[2,3,4,5,6,7,9,1,8]
[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]
[1,2,3,4,5,8,7,9,6]=>[7,6,9,1,2,3,4,5,8]
[1,2,3,4,7,6,8,9,5]=>[6,5,7,9,1,2,3,4,8]
[1,2,3,6,5,7,8,9,4]=>[5,4,6,7,9,1,2,3,8]
[1,2,5,4,6,7,8,9,3]=>[4,3,5,6,7,9,1,2,8]
[1,4,3,5,6,7,8,9,2]=>[3,2,4,5,6,7,9,1,8]
[3,2,4,5,6,7,8,9,1]=>[2,1,3,4,5,6,7,9,8]
[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]
[8,9,7,6,5,4,3,2,1]=>[1,9,8,7,6,5,4,3,2]
[8,7,9,6,5,4,3,2,1]=>[2,1,9,8,7,6,5,4,3]
[8,7,6,9,5,4,3,2,1]=>[3,2,1,9,8,7,6,5,4]
[8,7,6,5,9,4,3,2,1]=>[4,3,2,1,9,8,7,6,5]
[8,7,6,5,4,9,3,2,1]=>[5,4,3,2,1,9,8,7,6]
[8,7,6,5,4,3,9,2,1]=>[6,5,4,3,2,1,9,8,7]
[8,7,6,5,4,3,2,9,1]=>[7,6,5,4,3,2,1,9,8]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]
[7,8,9,6,5,4,3,2,1]=>[1,2,9,8,7,6,5,4,3]
[8,6,7,9,5,4,3,2,1]=>[2,3,1,9,8,7,6,5,4]
[8,7,5,6,9,4,3,2,1]=>[3,4,2,1,9,8,7,6,5]
[8,7,6,4,5,9,3,2,1]=>[4,5,3,2,1,9,8,7,6]
[8,7,6,5,3,4,9,2,1]=>[5,6,4,3,2,1,9,8,7]
[8,7,6,5,4,2,3,9,1]=>[6,7,5,4,3,2,1,9,8]
[8,7,6,5,4,3,1,2,9]=>[7,8,6,5,4,3,2,1,9]
[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]
[8,7,6,4,5,3,2,1,9]=>[4,8,7,6,5,3,2,1,9]
[1,9,8,7,5,6,4,3,2]=>[5,9,8,7,6,4,3,1,2]
[8,7,5,4,6,3,2,1,9]=>[4,3,8,7,6,5,2,1,9]
[8,7,4,6,5,3,2,1,9]=>[8,3,7,6,5,4,2,1,9]
[1,9,8,6,5,7,4,3,2]=>[5,4,9,8,7,6,3,1,2]
[1,9,8,5,7,6,4,3,2]=>[9,4,8,7,6,5,3,1,2]
[9,2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,9,1]
[9,2,3,1,4,5,6,7,8]=>[2,4,3,5,6,7,8,9,1]
[4,2,3,5,6,7,8,9,1]=>[2,3,1,4,5,6,7,9,8]
[3,4,2,5,6,7,8,9,1]=>[1,3,2,4,5,6,7,9,8]
[1,2,3,4,5,6,9,7,8]=>[8,9,1,2,3,4,5,6,7]
[1,2,3,4,5,8,6,9,7]=>[9,7,1,2,3,4,5,6,8]
[1,2,3,4,7,5,8,9,6]=>[7,5,9,1,2,3,4,6,8]
[1,2,3,6,4,7,8,9,5]=>[6,4,7,9,1,2,3,5,8]
[1,2,5,3,6,7,8,9,4]=>[5,3,6,7,9,1,2,4,8]
[1,4,2,5,6,7,8,9,3]=>[4,2,5,6,7,9,1,3,8]
[9,8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,9,2,1]
[7,8,9,1,2,3,4,5,6]=>[4,5,6,7,1,8,2,9,3]
[9,8,7,1,2,3,4,5,6]=>[4,5,6,7,8,9,3,2,1]
[6,7,8,9,1,2,3,4,5]=>[5,6,1,7,2,8,3,9,4]
[9,6,7,8,1,2,3,4,5]=>[5,6,7,2,8,3,9,4,1]
[8,9,6,7,1,2,3,4,5]=>[5,6,7,8,3,1,9,4,2]
[9,8,6,7,1,2,3,4,5]=>[5,6,7,8,3,9,4,2,1]
[9,8,7,6,1,2,3,4,5]=>[5,6,7,8,9,4,3,2,1]
[9,5,6,7,8,1,2,3,4]=>[6,2,7,3,8,4,9,5,1]
[8,9,5,6,7,1,2,3,4]=>[6,7,3,8,4,1,9,5,2]
[9,8,5,6,7,1,2,3,4]=>[6,7,3,8,4,9,5,2,1]
[9,7,8,5,6,1,2,3,4]=>[6,7,8,4,2,9,5,3,1]
[9,8,7,5,6,1,2,3,4]=>[6,7,8,4,9,5,3,2,1]
[9,8,7,6,5,1,2,3,4]=>[6,7,8,9,5,4,3,2,1]
[7,8,9,4,5,6,1,2,3]=>[7,4,1,8,5,2,9,6,3]
[9,7,8,4,5,6,1,2,3]=>[7,4,8,5,2,9,6,3,1]
[9,8,7,4,5,6,1,2,3]=>[7,4,8,5,9,6,3,2,1]
[8,9,6,7,4,5,1,2,3]=>[7,8,5,3,1,9,6,4,2]
[9,8,6,7,4,5,1,2,3]=>[7,8,5,3,9,6,4,2,1]
[9,8,7,6,4,5,1,2,3]=>[7,8,5,9,6,4,3,2,1]
[9,8,7,6,5,4,1,2,3]=>[7,8,9,6,5,4,3,2,1]
[9,7,8,5,6,3,4,1,2]=>[8,6,4,2,9,7,5,3,1]
[9,8,7,5,6,3,4,1,2]=>[8,6,4,9,7,5,3,2,1]
[9,8,7,6,5,3,4,1,2]=>[8,6,9,7,5,4,3,2,1]
[9,8,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,2,1]
[7,8,6,5,4,3,2,1,9]=>[1,8,7,6,5,4,3,2,9]
[1,8,9,7,6,5,4,3,2]=>[2,9,8,7,6,5,4,1,3]
[7,6,8,5,4,3,2,1,9]=>[2,1,8,7,6,5,4,3,9]
[6,8,7,5,4,3,2,1,9]=>[8,1,7,6,5,4,3,2,9]
[1,8,7,9,6,5,4,3,2]=>[3,2,9,8,7,6,5,1,4]
[1,7,9,8,6,5,4,3,2]=>[9,2,8,7,6,5,4,1,3]
[8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9]
[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,1,2]
[7,8,1,2,3,4,5,6,9]=>[3,4,5,6,7,1,8,2,9]
[1,8,9,2,3,4,5,6,7]=>[4,5,6,7,8,2,9,1,3]
[7,1,8,2,3,4,5,6,9]=>[4,5,6,7,8,2,1,3,9]
[6,8,1,2,3,4,5,7,9]=>[3,4,5,6,1,7,8,2,9]
[1,8,2,9,3,4,5,6,7]=>[5,6,7,8,9,3,1,2,4]
[1,7,9,2,3,4,5,6,8]=>[4,5,6,7,2,8,9,1,3]
[2,1,4,3,6,5,8,7,9]=>[1,3,5,8,2,4,6,7,9]
[2,4,1,3,6,5,8,7,9]=>[5,1,2,8,3,4,6,7,9]
[2,4,1,6,3,5,8,7,9]=>[2,8,1,5,3,4,6,7,9]
[2,4,1,6,3,8,5,7,9]=>[2,7,1,4,8,3,5,6,9]
[2,4,1,6,3,7,5,9,8]=>[2,6,1,4,9,3,5,7,8]
[2,4,1,5,3,7,6,9,8]=>[4,1,2,6,9,3,5,7,8]
[2,3,1,5,4,7,6,9,8]=>[1,2,4,6,9,3,5,7,8]
[1,3,2,5,4,7,6,9,8]=>[2,4,6,9,1,3,5,7,8]
[2,4,6,1,3,5,8,7,9]=>[2,8,1,4,5,3,6,7,9]
[2,4,1,6,8,3,5,7,9]=>[2,6,1,4,7,8,3,5,9]
[2,4,1,6,3,8,9,5,7]=>[2,4,8,1,6,9,3,5,7]
[2,4,1,6,3,7,5,8,9]=>[2,7,1,5,3,4,6,8,9]
[2,4,1,5,3,8,6,9,7]=>[2,9,1,4,7,3,5,6,8]
[2,3,1,6,4,7,5,9,8]=>[6,1,2,4,9,3,5,7,8]
[1,4,2,5,3,7,6,9,8]=>[4,2,6,9,1,3,5,7,8]
[7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,7,1,8,9]
[3,4,1,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]
[4,5,6,1,2,3,7,8,9]=>[4,1,5,2,6,3,7,8,9]
[4,2,5,1,3,6,7,8,9]=>[2,4,1,5,3,6,7,8,9]
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]
[5,6,7,8,1,2,3,4,9]=>[5,1,6,2,7,3,8,4,9]
[5,2,6,7,1,3,4,8,9]=>[5,6,2,1,3,7,4,8,9]
[5,6,3,4,1,2,7,8,9]=>[5,3,1,6,4,2,7,8,9]
[5,3,2,6,1,4,7,8,9]=>[3,2,5,1,6,4,7,8,9]
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]
[6,2,7,8,9,1,3,4,5]=>[6,7,3,1,8,2,4,9,5]
[6,7,3,4,8,1,2,5,9]=>[3,6,4,1,7,2,8,5,9]
[6,3,2,7,8,1,4,5,9]=>[2,6,7,3,1,4,8,5,9]
[6,4,7,2,5,1,3,8,9]=>[4,2,6,1,7,5,3,8,9]
[6,4,3,2,7,1,5,8,9]=>[4,3,2,6,1,7,5,8,9]
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]
[7,4,8,2,5,9,1,3,6]=>[2,7,4,5,1,8,3,9,6]
[7,4,3,2,8,9,1,5,6]=>[3,2,7,8,4,1,5,9,6]
[7,8,5,6,3,4,1,2,9]=>[7,5,3,1,8,6,4,2,9]
[7,5,3,8,2,6,1,4,9]=>[3,5,2,7,1,8,6,4,9]
[7,5,4,3,2,8,1,6,9]=>[5,4,3,2,7,1,8,6,9]
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]
[8,6,9,4,7,2,5,1,3]=>[6,4,2,8,1,9,7,5,3]
[8,6,4,3,9,2,7,1,5]=>[4,3,6,2,8,1,9,7,5]
[8,6,5,4,3,2,9,1,7]=>[6,5,4,3,2,8,1,9,7]
[2,3,1,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]
[2,3,4,1,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]
[2,3,4,5,1,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]
[2,3,4,5,6,1,7,8,9]=>[1,2,3,4,6,5,7,8,9]
[2,4,3,1,5,6,7,8,9]=>[4,1,3,2,5,6,7,8,9]
[2,3,5,4,1,6,7,8,9]=>[5,1,2,4,3,6,7,8,9]
[2,3,4,6,5,1,7,8,9]=>[6,1,2,3,5,4,7,8,9]
[2,3,4,5,7,6,1,8,9]=>[7,1,2,3,4,6,5,8,9]
[2,3,4,5,6,8,7,1,9]=>[8,1,2,3,4,5,7,6,9]
[2,3,4,5,6,7,9,8,1]=>[9,1,2,3,4,5,6,8,7]
[3,4,1,5,6,7,8,9,2]=>[1,4,2,5,6,7,9,3,8]
[3,4,5,1,6,7,8,9,2]=>[1,2,5,3,6,7,9,4,8]
[3,4,5,6,1,7,8,9,2]=>[1,2,3,6,4,7,9,5,8]
[3,4,5,6,7,1,8,9,2]=>[1,2,3,4,7,5,9,6,8]
[3,4,5,6,7,8,1,9,2]=>[1,2,3,4,5,9,7,6,8]
[3,1,2,5,6,7,8,9,4]=>[4,1,5,6,7,9,2,3,8]
[3,4,1,2,6,7,8,9,5]=>[1,5,2,6,7,9,3,4,8]
[3,4,5,1,2,7,8,9,6]=>[1,2,6,3,7,9,4,5,8]
[3,4,5,6,1,2,8,9,7]=>[1,2,3,7,4,9,5,6,8]
[3,4,5,6,7,1,2,9,8]=>[1,2,3,4,9,6,5,7,8]
[3,4,5,6,7,8,1,2,9]=>[1,2,3,4,7,5,8,6,9]
[8,7,6,5,4,3,1,9,2]=>[9,7,6,5,4,3,2,1,8]
[7,9,6,5,4,3,2,1,8]=>[1,8,7,6,5,4,3,9,2]
[1,7,6,5,4,3,9,8,2]=>[5,4,3,2,9,6,8,1,7]
[1,9,6,5,4,3,2,8,7]=>[6,5,4,3,9,7,8,1,2]
[8,1,6,5,4,3,9,7,2]=>[5,4,3,9,6,8,2,1,7]
[3,7,6,5,4,9,1,8,2]=>[5,4,3,1,2,9,7,8,6]
[7,9,1,5,4,3,2,8,6]=>[6,5,4,9,3,1,7,8,2]
[2,9,6,5,4,3,8,1,7]=>[6,5,4,3,8,9,1,7,2]
[8,7,1,5,4,3,9,6,2]=>[5,4,9,6,8,3,2,1,7]
[1,3,6,5,4,9,8,7,2]=>[3,9,4,8,2,5,7,1,6]
[4,7,6,5,9,3,1,8,2]=>[4,3,1,2,9,7,6,8,5]
[7,9,6,1,4,3,2,8,5]=>[6,5,9,4,1,7,3,8,2]
[1,9,2,5,4,3,8,7,6]=>[4,9,5,8,3,6,7,1,2]
[3,9,6,5,4,8,2,1,7]=>[5,4,3,8,1,7,9,6,2]
[7,9,6,5,4,3,2,8,1]=>[1,7,6,5,4,3,9,8,2]
[8,9,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,1,9,2]
[8,7,6,5,4,3,9,1,2]=>[8,6,5,4,3,2,1,9,7]
[9,7,6,5,4,3,1,8,2]=>[9,7,6,5,4,3,2,8,1]
[7,9,8,6,5,4,3,2,1]=>[9,1,8,7,6,5,4,3,2]
[6,9,8,7,5,4,3,2,1]=>[9,8,1,7,6,5,4,3,2]
[5,9,8,7,6,4,3,2,1]=>[9,8,7,1,6,5,4,3,2]
[4,9,8,7,6,5,3,2,1]=>[9,8,7,6,1,5,4,3,2]
[3,9,8,7,6,5,4,2,1]=>[9,8,7,6,5,1,4,3,2]
[2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,1,3,2]
[6,9,7,8,5,4,3,2,1]=>[3,9,1,8,7,6,5,4,2]
[5,9,8,6,7,4,3,2,1]=>[4,9,8,1,7,6,5,3,2]
[4,9,8,7,5,6,3,2,1]=>[5,9,8,7,1,6,4,3,2]
[3,9,8,7,6,4,5,2,1]=>[6,9,8,7,5,1,4,3,2]
[2,9,8,7,6,5,3,4,1]=>[7,9,8,6,5,4,1,3,2]
[1,9,8,7,6,5,4,2,3]=>[8,9,7,6,5,4,3,1,2]
[1,2,3,4,5,9,6,7,8]=>[7,8,9,1,2,3,4,5,6]
[1,2,3,4,9,5,6,7,8]=>[6,7,8,9,1,2,3,4,5]
[1,2,3,9,4,5,6,7,8]=>[5,6,7,8,9,1,2,3,4]
[1,2,9,3,4,5,6,7,8]=>[4,5,6,7,8,9,1,2,3]
[1,2,3,4,5,9,7,6,8]=>[8,7,9,1,2,3,4,5,6]
[1,2,3,4,9,6,5,7,8]=>[7,6,8,9,1,2,3,4,5]
[1,2,3,9,5,4,6,7,8]=>[6,5,7,8,9,1,2,3,4]
[1,2,9,4,3,5,6,7,8]=>[5,4,6,7,8,9,1,2,3]
[1,9,3,2,4,5,6,7,8]=>[4,3,5,6,7,8,9,1,2]
[7,6,9,8,5,4,3,2,1]=>[1,9,2,8,7,6,5,4,3]
[6,5,4,9,8,7,3,2,1]=>[1,9,2,8,3,7,6,5,4]
[6,8,5,9,7,4,3,2,1]=>[9,1,3,2,8,7,6,5,4]
[6,7,8,9,5,4,3,2,1]=>[1,2,3,9,8,7,6,5,4]
[5,4,3,2,9,8,7,6,1]=>[1,9,2,8,3,7,4,6,5]
[5,8,4,3,9,7,6,2,1]=>[9,1,3,8,4,2,7,6,5]
[5,4,7,6,9,8,3,2,1]=>[1,3,9,2,4,8,7,6,5]
[5,7,8,4,9,6,3,2,1]=>[2,9,1,4,3,8,7,6,5]
[5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]
[4,8,3,2,1,9,7,6,5]=>[9,1,3,8,4,7,5,2,6]
[4,3,7,6,2,9,8,5,1]=>[4,1,3,9,2,8,5,7,6]
[4,7,8,3,2,9,6,5,1]=>[9,4,1,2,8,5,3,7,6]
[4,6,3,8,5,9,7,2,1]=>[2,9,1,5,3,4,8,7,6]
[4,6,7,8,3,9,5,2,1]=>[2,3,9,1,5,4,8,7,6]
[4,5,6,7,8,9,3,2,1]=>[1,2,3,4,5,9,8,7,6]
[3,2,1,6,5,4,9,8,7]=>[1,4,9,2,5,8,3,6,7]
[3,6,2,8,5,1,9,7,4]=>[5,2,9,1,8,3,6,4,7]
[3,6,7,8,2,1,9,5,4]=>[2,9,5,1,3,8,6,4,7]
[3,2,5,4,7,6,9,8,1]=>[1,3,5,9,2,4,6,8,7]
[3,5,7,2,8,4,9,6,1]=>[9,2,6,1,4,3,5,8,7]
[3,5,6,7,8,2,9,4,1]=>[2,3,4,9,1,6,5,8,7]
[3,4,5,6,7,8,9,2,1]=>[1,2,3,4,5,6,9,8,7]
[2,4,6,7,1,8,3,9,5]=>[3,9,2,7,1,5,4,6,8]
[2,4,5,6,7,8,1,9,3]=>[2,3,4,5,9,1,7,6,8]
[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]
[2,4,1,3,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]
[2,3,5,1,4,6,7,8,9]=>[1,2,4,5,3,6,7,8,9]
[2,3,4,6,1,5,7,8,9]=>[1,2,3,5,6,4,7,8,9]
[2,3,4,5,7,1,6,8,9]=>[1,2,3,4,6,7,5,8,9]
[2,3,4,5,6,8,1,7,9]=>[1,2,3,4,5,7,8,6,9]
[7,6,5,4,3,2,9,1,8]=>[6,5,4,3,2,1,8,9,7]
[6,5,4,3,9,2,8,1,7]=>[4,3,2,1,6,8,9,7,5]
[6,5,4,3,2,8,1,7,9]=>[5,4,3,2,1,7,8,6,9]
[5,4,9,3,8,2,7,1,6]=>[2,1,4,6,8,9,7,5,3]
[5,4,3,8,2,7,1,6,9]=>[3,2,1,5,7,8,6,4,9]
[5,4,3,2,7,9,1,6,8]=>[3,2,1,7,4,5,8,9,6]
[5,4,3,2,7,1,6,8,9]=>[4,3,2,1,6,7,5,8,9]
[4,8,3,7,2,6,1,5,9]=>[1,3,5,7,8,6,4,2,9]
[4,3,7,2,6,9,1,5,8]=>[1,7,2,4,5,3,8,9,6]
[4,3,7,2,6,1,5,8,9]=>[2,1,4,6,7,5,3,8,9]
[4,3,2,6,8,1,5,7,9]=>[2,1,6,3,4,7,8,5,9]
[4,3,2,6,1,5,7,8,9]=>[3,2,1,5,6,4,7,8,9]
[3,6,9,2,5,8,1,4,7]=>[7,4,1,2,5,8,9,6,3]
[3,6,2,5,8,1,4,7,9]=>[6,1,3,4,2,7,8,5,9]
[3,6,2,5,1,4,7,8,9]=>[1,3,5,6,4,2,7,8,9]
[3,2,5,7,9,1,4,6,8]=>[1,3,6,7,2,4,8,9,5]
[3,2,5,7,1,4,6,8,9]=>[1,5,2,3,6,7,4,8,9]
[3,2,5,1,4,6,7,8,9]=>[2,1,4,5,3,6,7,8,9]
[2,4,6,8,1,3,5,7,9]=>[2,5,6,1,3,7,8,4,9]
[2,4,6,1,3,5,7,8,9]=>[4,1,2,5,6,3,7,8,9]
[8,7,6,5,4,2,1,9,3]=>[6,9,7,5,4,3,2,1,8]
[8,7,6,5,3,2,1,9,4]=>[6,5,9,7,4,3,2,1,8]
[8,7,6,4,3,2,1,9,5]=>[6,5,4,9,7,3,2,1,8]
[8,7,5,4,3,2,1,9,6]=>[6,5,4,3,9,7,2,1,8]
[8,6,5,4,3,2,1,9,7]=>[6,5,4,3,2,9,7,1,8]
[7,6,5,4,3,2,1,9,8]=>[6,5,4,3,2,1,9,7,8]
[8,7,6,5,4,9,1,3,2]=>[9,7,5,4,3,2,1,8,6]
[8,7,6,5,9,2,1,4,3]=>[6,9,7,4,3,2,1,8,5]
[8,7,6,9,3,2,1,5,4]=>[6,5,9,7,3,2,1,8,4]
[8,7,9,4,3,2,1,6,5]=>[6,5,4,9,7,2,1,8,3]
[8,9,5,4,3,2,1,7,6]=>[6,5,4,3,9,7,1,8,2]
[9,6,5,4,3,2,1,8,7]=>[6,5,4,3,2,9,7,8,1]
[2,9,8,7,6,5,4,1,3]=>[8,9,7,6,5,4,1,3,2]
[2,4,5,6,7,8,1,3,9]=>[2,3,4,7,1,5,8,6,9]
[3,4,5,6,7,1,8,2,9]=>[1,2,3,4,8,6,5,7,9]
[1,3,5,6,7,8,9,2,4]=>[3,4,5,8,2,6,9,1,7]
[1,4,5,6,7,8,2,9,3]=>[2,3,4,5,9,7,1,6,8]
[9,7,8,5,6,3,1,4,2]=>[9,7,6,4,2,8,5,3,1]
[9,7,8,5,3,6,1,4,2]=>[5,9,7,4,2,8,6,3,1]
[9,7,5,8,3,6,1,4,2]=>[5,3,9,7,2,8,6,4,1]
[7,9,5,8,3,6,1,4,2]=>[5,3,1,9,7,8,6,4,2]
[8,9,5,7,3,6,1,4,2]=>[5,3,9,7,1,8,6,4,2]
[8,9,6,7,3,5,1,4,2]=>[5,9,7,3,1,8,6,4,2]
[8,9,6,7,4,5,1,3,2]=>[9,7,5,3,1,8,6,4,2]
[8,9,6,7,4,5,2,3,1]=>[7,5,3,1,9,8,6,4,2]
[9,7,8,5,3,1,6,4,2]=>[5,9,8,6,4,2,7,3,1]
[9,7,5,3,8,6,1,4,2]=>[9,4,3,7,2,8,6,5,1]
[7,5,9,8,3,6,1,4,2]=>[2,5,1,9,7,8,6,4,3]
[9,8,5,7,3,6,1,4,2]=>[5,3,9,7,8,6,4,2,1]
[7,9,6,8,3,5,1,4,2]=>[5,1,9,7,3,8,6,4,2]
[8,9,5,7,4,6,1,3,2]=>[3,9,7,5,1,8,6,4,2]
[8,9,6,7,3,5,2,4,1]=>[5,7,3,1,9,8,6,4,2]
[6,5,4,3,2,1,9,8,7]=>[4,3,2,1,9,5,8,6,7]
[6,5,4,3,2,1,8,7,9]=>[5,4,3,2,1,8,6,7,9]
[5,4,3,2,1,9,8,7,6]=>[2,1,9,3,8,4,7,5,6]
[5,4,3,2,1,8,7,6,9]=>[3,2,1,8,4,7,5,6,9]
[5,4,3,2,1,7,6,9,8]=>[4,3,2,1,6,9,5,7,8]
[5,4,3,2,1,7,6,8,9]=>[4,3,2,1,7,5,6,8,9]
[4,3,2,1,8,7,6,5,9]=>[1,8,2,7,3,6,4,5,9]
[4,3,2,1,7,6,5,9,8]=>[2,1,6,3,5,9,4,7,8]
[4,3,2,1,7,6,5,8,9]=>[2,1,7,3,6,4,5,8,9]
[4,3,2,1,6,5,8,7,9]=>[3,2,1,5,8,4,6,7,9]
[4,3,2,1,6,5,7,8,9]=>[3,2,1,6,4,5,7,8,9]
[3,2,1,6,5,4,8,7,9]=>[1,5,2,4,8,3,6,7,9]
[3,2,1,6,5,4,7,8,9]=>[1,6,2,5,3,4,7,8,9]
[3,2,1,5,4,7,6,9,8]=>[2,1,4,6,9,3,5,7,8]
[3,2,1,5,4,7,6,8,9]=>[2,1,4,7,3,5,6,8,9]
[3,2,1,5,4,6,7,8,9]=>[2,1,5,3,4,6,7,8,9]
[2,1,4,3,6,5,7,8,9]=>[1,3,6,2,4,5,7,8,9]
[2,1,4,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]
[3,1,4,2,6,5,8,7,9]=>[3,1,5,8,2,4,6,7,9]
[3,1,5,2,6,4,8,7,9]=>[1,5,3,8,2,4,6,7,9]
[3,1,5,2,7,4,8,6,9]=>[1,3,8,6,2,4,5,7,9]
[3,1,5,2,7,4,6,9,8]=>[1,3,9,6,2,4,5,7,8]
[3,1,5,2,4,7,6,9,8]=>[1,6,3,9,2,4,5,7,8]
[3,1,2,5,4,7,6,9,8]=>[4,1,6,9,2,3,5,7,8]
[4,1,5,2,6,3,8,7,9]=>[5,3,1,8,2,4,6,7,9]
[3,1,6,2,7,4,8,5,9]=>[8,1,6,4,2,3,5,7,9]
[3,1,5,2,8,4,9,6,7]=>[1,3,8,9,6,2,4,5,7]
[3,1,5,2,7,4,6,8,9]=>[1,6,3,7,2,4,5,8,9]
[3,1,5,2,4,7,9,6,8]=>[1,6,3,8,9,2,4,5,7]
[3,1,2,5,7,4,6,9,8]=>[1,9,4,6,2,3,5,7,8]
[1,3,5,2,4,7,6,9,8]=>[6,2,3,9,1,4,5,7,8]
[4,5,6,7,8,9,1,2,3]=>[1,2,3,7,4,8,5,9,6]
[4,5,6,7,8,9,2,3,1]=>[1,2,3,4,7,5,9,8,6]
[5,6,7,8,9,1,2,3,4]=>[1,6,2,7,3,8,4,9,5]
[5,6,7,8,9,2,3,4,1]=>[1,2,6,3,7,4,9,8,5]
[5,6,7,8,9,3,4,1,2]=>[1,2,3,8,6,4,9,7,5]
[5,6,7,8,9,3,4,2,1]=>[1,2,3,6,4,9,8,7,5]
[6,7,8,9,2,3,4,5,1]=>[5,1,6,2,7,3,9,8,4]
[6,7,8,9,3,4,5,1,2]=>[1,5,2,8,6,3,9,7,4]
[6,7,8,9,3,4,5,2,1]=>[1,5,2,6,3,9,8,7,4]
[6,7,8,9,4,5,2,3,1]=>[1,2,7,5,3,9,8,6,4]
[6,7,8,9,4,5,3,2,1]=>[1,2,5,3,9,8,7,6,4]
[7,8,9,4,5,6,2,3,1]=>[4,1,7,5,2,9,8,6,3]
[7,8,9,4,5,6,3,2,1]=>[4,1,5,2,9,8,7,6,3]
[7,8,9,5,6,3,4,1,2]=>[1,8,6,4,2,9,7,5,3]
[7,8,9,5,6,3,4,2,1]=>[1,6,4,2,9,8,7,5,3]
[7,8,9,5,6,4,3,2,1]=>[1,4,2,9,8,7,6,5,3]
[8,9,6,7,4,5,3,2,1]=>[5,3,1,9,8,7,6,4,2]
[8,9,6,7,5,4,3,2,1]=>[3,1,9,8,7,6,5,4,2]
[9,8,7,6,5,4,2,1,3]=>[8,7,9,6,5,4,3,2,1]
[9,8,7,6,5,3,2,1,4]=>[8,7,6,9,5,4,3,2,1]
[9,8,7,6,4,3,2,1,5]=>[8,7,6,5,9,4,3,2,1]
[9,8,7,5,4,3,2,1,6]=>[8,7,6,5,4,9,3,2,1]
[9,8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,9,2,1]
[9,7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,9,1]
[9,8,7,6,5,4,1,3,2]=>[9,7,8,6,5,4,3,2,1]
[9,8,7,6,5,2,4,1,3]=>[6,8,9,7,5,4,3,2,1]
[9,8,7,6,3,5,2,1,4]=>[5,8,7,9,6,4,3,2,1]
[9,8,7,4,6,3,2,1,5]=>[4,8,7,6,9,5,3,2,1]
[9,8,5,7,4,3,2,1,6]=>[3,8,7,6,5,9,4,2,1]
[9,6,8,5,4,3,2,1,7]=>[2,8,7,6,5,4,9,3,1]
[9,8,7,3,6,2,5,1,4]=>[4,6,8,9,7,5,3,2,1]
[9,8,7,6,3,5,1,2,4]=>[7,5,8,9,6,4,3,2,1]
[9,4,8,3,7,2,6,1,5]=>[2,4,6,8,9,7,5,3,1]
[9,8,4,7,3,6,1,2,5]=>[3,7,5,8,9,6,4,2,1]
[9,8,7,2,4,6,1,3,5]=>[7,4,5,8,9,6,3,2,1]
[9,8,7,4,6,1,2,3,5]=>[6,7,4,8,9,5,3,2,1]
[5,9,4,8,3,7,1,2,6]=>[1,3,7,5,8,9,6,4,2]
[9,5,8,2,4,7,1,3,6]=>[7,4,2,5,8,9,6,3,1]
[9,5,8,4,7,1,2,3,6]=>[6,2,7,4,8,9,5,3,1]
[9,8,3,5,7,1,2,4,6]=>[3,6,7,4,8,9,5,2,1]
[9,8,5,7,1,2,3,4,6]=>[5,6,7,3,8,9,4,2,1]
[6,9,3,5,8,1,2,4,7]=>[3,6,1,7,4,8,9,5,2]
[6,9,5,8,1,2,3,4,7]=>[5,6,1,7,3,8,9,4,2]
[9,2,4,6,8,1,3,5,7]=>[3,6,7,2,4,8,9,5,1]
[9,4,6,8,1,2,3,5,7]=>[5,2,6,7,3,8,9,4,1]
[9,6,8,1,2,3,4,5,7]=>[4,5,6,7,2,8,9,3,1]
[3,5,7,9,1,2,4,6,8]=>[5,1,2,6,7,3,8,9,4]
[5,7,9,1,2,3,4,6,8]=>[4,5,1,6,7,2,8,9,3]
[7,9,1,2,3,4,5,6,8]=>[3,4,5,6,7,1,8,9,2]
[7,6,5,4,3,2,9,8,1]=>[5,4,3,2,1,9,6,8,7]
[9,6,5,4,3,2,8,1,7]=>[6,5,4,3,2,8,9,7,1]
[9,7,5,4,3,2,1,8,6]=>[6,5,4,3,9,7,2,8,1]
[7,6,5,4,3,9,2,8,1]=>[5,4,3,2,1,7,9,8,6]
[8,6,5,4,3,2,9,7,1]=>[5,4,3,2,9,6,1,8,7]
[9,1,2,3,5,4,6,7,8]=>[6,2,3,4,5,7,8,9,1]
[2,3,4,6,5,7,8,9,1]=>[5,1,2,3,4,6,7,9,8]
[9,1,2,3,5,6,4,7,8]=>[5,7,2,3,4,6,8,9,1]
[2,3,4,7,5,6,8,9,1]=>[5,6,1,2,3,4,7,9,8]
[2,3,4,6,7,5,8,9,1]=>[4,6,1,2,3,5,7,9,8]
[8,7,6,4,3,5,2,1,9]=>[5,4,8,7,6,3,2,1,9]
[8,7,6,3,5,4,2,1,9]=>[8,4,7,6,5,3,2,1,9]
[1,9,8,7,5,4,6,3,2]=>[6,5,9,8,7,4,3,1,2]
[1,9,8,7,4,6,5,3,2]=>[9,5,8,7,6,4,3,1,2]
[7,6,5,8,4,3,2,1,9]=>[3,2,1,8,7,6,5,4,9]
[7,6,5,4,9,3,2,1,8]=>[4,3,2,1,8,7,6,9,5]
[7,6,5,4,3,8,2,1,9]=>[5,4,3,2,1,8,7,6,9]
[7,6,5,4,3,2,8,1,9]=>[6,5,4,3,2,1,8,7,9]
[6,9,8,5,4,3,2,1,7]=>[8,1,7,6,5,4,9,3,2]
[7,5,8,9,4,3,2,1,6]=>[8,2,1,7,6,5,3,9,4]
[7,6,4,8,9,3,2,1,5]=>[8,3,2,1,7,6,4,9,5]
[7,6,5,3,9,8,2,1,4]=>[8,4,3,2,1,7,9,6,5]
[7,6,5,4,2,8,9,1,3]=>[8,5,4,3,2,1,6,9,7]
[7,6,5,4,3,1,8,9,2]=>[7,5,4,3,2,1,9,6,8]
[6,5,8,7,4,3,2,1,9]=>[1,8,2,7,6,5,4,3,9]
[7,5,4,8,6,3,2,1,9]=>[2,8,3,1,7,6,5,4,9]
[5,9,8,7,4,3,2,1,6]=>[8,7,1,6,5,9,4,3,2]
[7,6,4,3,9,5,2,1,8]=>[3,8,4,2,1,7,6,9,5]
[7,4,8,9,6,3,2,1,5]=>[8,7,2,1,6,3,9,5,4]
[7,6,5,3,2,8,4,1,9]=>[4,8,5,3,2,1,7,6,9]
[7,6,3,8,9,5,2,1,4]=>[8,7,3,2,1,4,9,6,5]
[7,6,5,4,2,1,8,3,9]=>[5,8,6,4,3,2,1,7,9]
[7,6,5,2,9,8,4,1,3]=>[8,3,2,1,9,7,4,6,5]
[7,6,5,4,1,8,9,3,2]=>[6,4,3,2,1,9,8,5,7]
[2,3,4,5,6,8,9,7,1]=>[6,9,1,2,3,4,5,8,7]
[2,3,4,5,7,8,9,6,1]=>[5,6,9,1,2,3,4,8,7]
[2,3,5,6,7,8,9,4,1]=>[3,4,5,6,9,1,2,8,7]
[2,4,5,6,7,8,9,3,1]=>[2,3,4,5,6,9,1,8,7]
[2,3,4,5,8,1,9,7,6]=>[9,8,1,2,3,4,6,5,7]
[2,3,4,7,1,8,9,6,5]=>[6,4,9,1,2,3,8,5,7]
[2,3,6,1,7,8,9,4,5]=>[5,3,8,1,2,6,9,4,7]
[2,5,1,6,7,8,9,4,3]=>[4,2,5,6,9,1,8,3,7]
[4,1,5,6,7,8,9,3,2]=>[3,1,4,5,6,9,8,2,7]
[2,3,4,5,8,9,6,7,1]=>[7,5,9,1,2,3,4,8,6]
[2,3,4,7,8,5,9,6,1]=>[4,9,6,1,2,3,5,8,7]
[2,3,6,7,4,8,9,1,5]=>[3,8,5,1,2,4,6,9,7]
[2,3,4,8,1,5,9,7,6]=>[9,8,1,2,3,5,6,4,7]
[2,5,6,3,7,8,9,4,1]=>[2,5,3,6,9,1,4,8,7]
[2,3,7,1,4,8,9,6,5]=>[6,9,8,1,2,4,3,5,7]
[4,5,2,6,7,8,9,3,1]=>[1,4,2,5,6,9,3,8,7]
[2,6,1,3,7,8,9,4,5]=>[5,8,6,1,2,9,3,4,7]
[5,1,2,6,7,8,9,4,3]=>[4,5,1,6,9,8,2,3,7]
[8,1,9,7,6,5,4,3,2]=>[9,8,7,6,5,4,2,1,3]
[9,2,8,7,6,5,4,1,3]=>[8,9,7,6,5,2,4,3,1]
[3,9,8,7,6,5,4,1,2]=>[8,9,7,6,5,1,4,3,2]
[8,9,1,7,6,5,4,3,2]=>[9,8,7,6,5,3,1,4,2]
[8,2,9,7,6,5,4,3,1]=>[9,8,7,6,5,2,1,4,3]
[8,1,2,3,4,5,9,6,7]=>[8,9,2,3,4,5,6,1,7]
[8,1,2,3,4,9,5,6,7]=>[7,8,9,2,3,4,5,1,6]
[8,1,2,9,3,4,5,6,7]=>[5,6,7,8,9,2,3,1,4]
[8,1,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,1,3]
[6,1,2,3,4,5,8,9,7]=>[7,9,2,3,4,1,5,6,8]
[5,1,2,3,4,8,9,6,7]=>[8,6,9,2,1,3,4,5,7]
[4,1,2,3,8,9,5,6,7]=>[7,1,8,5,9,2,3,4,6]
[3,1,2,8,9,4,5,6,7]=>[1,6,7,8,4,9,2,3,5]
[2,1,8,9,3,4,5,6,7]=>[5,6,7,8,1,3,9,2,4]
[9,8,7,6,5,2,3,1,4]=>[6,8,7,9,5,4,3,2,1]
[9,8,7,6,3,4,2,1,5]=>[5,8,7,6,9,4,3,2,1]
[9,8,7,4,5,3,2,1,6]=>[4,8,7,6,5,9,3,2,1]
[9,8,5,6,4,3,2,1,7]=>[3,8,7,6,5,4,9,2,1]
[9,6,7,5,4,3,2,1,8]=>[2,8,7,6,5,4,3,9,1]
[8,2,1,7,6,5,4,3,9]=>[8,7,6,2,5,3,4,1,9]
[3,2,8,7,6,5,4,1,9]=>[8,7,6,1,5,2,4,3,9]
[8,3,1,7,6,5,4,9,2]=>[7,6,2,5,4,9,3,1,8]
[8,2,9,1,6,5,4,3,7]=>[8,7,6,2,4,5,1,9,3]
[4,2,8,7,6,5,9,1,3]=>[8,6,1,5,4,2,3,9,7]
[3,9,2,7,6,5,4,1,8]=>[8,7,6,1,3,5,4,9,2]
[8,4,1,7,6,5,9,3,2]=>[6,2,5,4,9,8,3,1,7]
[8,3,2,1,6,5,4,7,9]=>[2,7,3,6,4,5,8,1,9]
[8,2,9,7,1,5,4,3,6]=>[8,7,5,6,9,2,1,4,3]
[5,2,8,7,6,9,4,1,3]=>[8,1,5,4,3,9,2,7,6]
[4,3,2,7,6,5,8,1,9]=>[1,6,2,5,3,4,8,7,9]
[3,9,8,2,6,5,4,1,7]=>[8,7,4,6,1,5,9,3,2]
[7,8,2,3,4,5,6,9,1]=>[3,4,5,6,1,7,2,9,8]
[2,8,9,3,4,5,6,7,1]=>[4,5,6,7,2,9,1,8,3]
[7,1,8,3,4,5,6,9,2]=>[4,5,6,7,3,1,9,2,8]
[6,8,2,3,4,5,1,9,7]=>[3,4,5,1,6,9,7,2,8]
[2,8,1,9,4,5,6,7,3]=>[5,6,7,9,8,1,3,2,4]
[2,7,9,3,4,5,6,1,8]=>[4,5,6,2,8,1,7,9,3]
[7,1,2,8,4,5,6,9,3]=>[5,6,7,4,9,2,1,3,8]
[6,7,8,3,4,5,2,9,1]=>[4,1,5,2,7,6,3,9,8]
[5,8,2,3,4,1,6,9,7]=>[3,4,1,5,9,6,7,2,8]
[2,8,1,3,9,5,6,7,4]=>[6,7,9,8,1,3,4,2,5]
[2,7,8,9,4,5,6,3,1]=>[5,2,6,3,9,8,1,7,4]
[2,6,9,3,4,5,1,7,8]=>[4,5,2,7,1,6,8,9,3]
[8,7,6,5,4,2,1,3,9]=>[7,6,8,5,4,3,2,1,9]
[8,7,6,5,4,1,3,2,9]=>[8,6,7,5,4,3,2,1,9]
[1,9,8,7,6,5,3,2,4]=>[8,7,9,6,5,4,3,1,2]
[1,9,8,7,6,5,2,4,3]=>[9,7,8,6,5,4,3,1,2]
[2,1,9,8,7,6,5,4,3]=>[9,8,7,6,5,1,4,2,3]
[1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]
[3,2,1,9,8,7,6,5,4]=>[9,8,7,1,6,2,5,3,4]
[1,3,2,9,8,7,6,5,4]=>[9,8,7,6,2,5,1,3,4]
[1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]
[4,3,2,1,9,8,7,6,5]=>[9,1,8,2,7,3,6,4,5]
[1,4,3,2,9,8,7,6,5]=>[9,8,2,7,3,6,1,4,5]
[2,1,4,3,9,8,7,6,5]=>[9,8,7,1,3,6,2,4,5]
[1,2,4,3,9,8,7,6,5]=>[9,8,7,3,6,1,2,4,5]
[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]
[1,5,4,3,2,9,8,7,6]=>[2,9,3,8,4,7,1,5,6]
[2,1,5,4,3,9,8,7,6]=>[9,3,8,1,4,7,2,5,6]
[1,2,5,4,3,9,8,7,6]=>[9,3,8,4,7,1,2,5,6]
[1,3,2,5,4,9,8,7,6]=>[9,8,2,4,7,1,3,5,6]
[1,2,3,5,4,9,8,7,6]=>[9,8,4,7,1,2,3,5,6]
[1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6]
[1,3,2,6,5,4,9,8,7]=>[4,9,2,5,8,1,3,6,7]
[1,2,3,6,5,4,9,8,7]=>[4,9,5,8,1,2,3,6,7]
[2,1,4,3,6,5,9,8,7]=>[9,1,3,5,8,2,4,6,7]
[1,2,4,3,6,5,9,8,7]=>[9,3,5,8,1,2,4,6,7]
[1,2,3,4,6,5,9,8,7]=>[9,5,8,1,2,3,4,6,7]
[1,2,3,5,4,7,6,9,8]=>[4,6,9,1,2,3,5,7,8]
[1,2,3,4,5,7,6,9,8]=>[6,9,1,2,3,4,5,7,8]
[9,8,7,6,5,2,1,4,3]=>[6,9,7,8,5,4,3,2,1]
[9,8,7,3,2,1,6,5,4]=>[4,9,5,8,6,7,3,2,1]
[9,8,7,6,3,1,5,2,4]=>[8,5,9,6,7,4,3,2,1]
[9,4,3,2,1,8,7,6,5]=>[2,9,3,8,4,7,5,6,1]
[9,8,4,3,1,7,6,2,5]=>[4,3,8,9,7,5,6,2,1]
[9,8,7,2,1,4,3,6,5]=>[4,6,9,5,7,8,3,2,1]
[9,8,7,4,1,6,2,3,5]=>[7,8,4,9,5,6,3,2,1]
[5,4,3,1,9,8,7,2,6]=>[2,1,8,9,3,7,6,4,5]
[9,5,2,1,8,4,3,7,6]=>[6,9,3,2,7,8,4,5,1]
[9,8,3,1,5,2,7,4,6]=>[3,8,5,9,4,6,7,2,1]
[6,3,1,9,5,2,8,4,7]=>[8,2,5,1,9,6,7,3,4]
[6,5,1,9,8,2,3,4,7]=>[6,7,2,1,8,9,5,3,4]
[9,2,1,4,3,6,5,8,7]=>[2,4,6,9,3,5,7,8,1]
[9,6,1,8,2,3,4,5,7]=>[5,6,7,8,2,9,3,4,1]
[5,1,7,2,9,3,4,6,8]=>[6,7,1,8,3,9,2,4,5]
[7,1,9,2,3,4,5,6,8]=>[4,5,6,7,8,1,9,2,3]
[9,1,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,2,3,1]
[7,1,9,8,6,5,4,3,2]=>[1,9,8,7,6,5,4,2,3]
[6,1,9,8,7,5,4,3,2]=>[9,1,8,7,6,5,4,2,3]
[5,1,9,8,7,6,4,3,2]=>[9,8,1,7,6,5,4,2,3]
[4,1,9,8,7,6,5,3,2]=>[9,8,7,1,6,5,4,2,3]
[3,1,9,8,7,6,5,4,2]=>[9,8,7,6,1,5,4,2,3]
[9,8,1,7,6,5,4,3,2]=>[9,8,7,6,5,3,4,2,1]
[8,7,9,1,6,5,4,3,2]=>[9,8,7,6,4,2,1,5,3]
[7,6,9,8,1,5,4,3,2]=>[2,1,9,8,7,5,6,4,3]
[6,5,9,8,7,1,4,3,2]=>[1,9,2,8,6,7,5,4,3]
[5,4,9,8,7,6,1,3,2]=>[9,1,7,8,2,6,5,4,3]
[4,3,9,8,7,6,5,1,2]=>[8,9,7,1,6,2,5,4,3]
[3,2,9,8,7,6,5,4,1]=>[9,8,7,6,1,5,2,4,3]
[9,1,2,3,4,5,6,8,7]=>[9,2,3,4,5,6,7,8,1]
[9,1,2,3,4,5,7,8,6]=>[7,9,2,3,4,5,6,8,1]
[2,3,4,5,6,9,7,8,1]=>[7,9,1,2,3,4,5,8,6]
[9,2,1,8,7,6,5,4,3]=>[9,8,7,6,2,5,3,4,1]
[3,9,2,8,7,6,5,4,1]=>[9,8,7,6,1,3,5,4,2]
[4,2,9,8,7,6,5,3,1]=>[9,8,7,1,6,5,2,4,3]
[9,2,8,1,7,6,5,4,3]=>[9,8,7,6,2,4,5,3,1]
[9,3,1,8,7,6,5,4,2]=>[9,8,7,2,6,5,3,4,1]
[2,3,5,6,4,7,8,9,1]=>[3,5,1,2,4,6,7,9,8]
[2,3,6,4,5,7,8,9,1]=>[4,5,1,2,3,6,7,9,8]
[9,1,2,4,5,3,6,7,8]=>[4,6,2,3,5,7,8,9,1]
[7,9,6,8,5,4,3,2,1]=>[1,3,9,8,7,6,5,4,2]
[6,9,8,5,7,4,3,2,1]=>[4,9,1,8,7,6,5,3,2]
[5,9,8,7,4,6,3,2,1]=>[5,9,8,1,7,6,4,3,2]
[4,9,8,7,6,3,5,2,1]=>[6,9,8,7,1,5,4,3,2]
[3,9,8,7,6,5,2,4,1]=>[7,9,8,6,5,1,4,3,2]
[8,6,9,7,4,5,2,3,1]=>[2,7,5,1,9,8,6,4,3]
[8,6,9,4,7,5,2,3,1]=>[4,2,7,1,9,8,6,5,3]
[8,6,9,4,7,2,5,3,1]=>[4,2,9,6,1,8,7,5,3]
[8,6,9,4,7,3,5,1,2]=>[4,2,8,6,1,9,7,5,3]
[8,6,9,5,7,3,4,1,2]=>[2,8,6,4,1,9,7,5,3]
[8,7,9,5,6,3,4,1,2]=>[8,6,4,2,1,9,7,5,3]
[8,6,4,9,7,5,2,3,1]=>[7,2,9,3,1,8,6,5,4]
[8,6,9,4,2,7,5,3,1]=>[4,2,9,8,5,1,7,6,3]
[8,6,9,4,7,2,1,5,3]=>[6,4,2,9,7,1,8,5,3]
[8,6,9,4,7,3,5,2,1]=>[4,2,6,1,9,8,7,5,3]
[8,6,9,5,7,2,4,1,3]=>[6,2,8,4,1,9,7,5,3]
[8,7,9,4,6,3,5,1,2]=>[4,8,6,2,1,9,7,5,3]
[9,6,8,5,7,3,4,1,2]=>[2,8,6,4,9,7,5,3,1]
[1,3,4,5,6,7,9,2,8]=>[2,3,4,5,6,8,9,1,7]
[2,3,4,5,6,7,1,9,8]=>[1,2,3,4,5,6,9,7,8]
[2,1,4,5,6,7,8,9,3]=>[1,3,4,5,6,7,9,2,8]
[3,1,4,5,6,7,8,2,9]=>[3,1,4,5,6,8,2,7,9]
[1,2,3,4,5,7,9,6,8]=>[6,8,9,1,2,3,4,5,7]
[1,2,3,4,6,9,5,7,8]=>[5,7,8,9,1,2,3,4,6]
[1,2,3,5,9,4,6,7,8]=>[4,6,7,8,9,1,2,3,5]
[1,2,4,9,3,5,6,7,8]=>[3,5,6,7,8,9,1,2,4]
[1,3,9,2,4,5,6,7,8]=>[2,4,5,6,7,8,9,1,3]
[1,9,8,7,6,2,5,4,3]=>[9,8,6,7,5,4,3,1,2]
[2,9,8,7,1,6,5,4,3]=>[9,8,7,5,6,4,1,3,2]
[1,9,8,2,7,6,5,4,3]=>[9,8,7,6,4,5,3,1,2]
[1,9,2,8,7,6,5,4,3]=>[9,8,7,6,5,3,4,1,2]
[3,9,8,7,6,5,2,1,4]=>[8,7,9,6,5,1,4,3,2]
[4,9,8,7,6,1,2,5,3]=>[9,6,7,8,1,5,4,3,2]
[5,9,8,7,1,2,6,4,3]=>[9,1,8,5,6,7,4,3,2]
[6,9,8,2,1,7,5,4,3]=>[1,9,8,4,7,5,6,3,2]
[7,9,1,2,8,6,5,4,3]=>[9,8,7,6,3,1,4,5,2]
[8,1,2,9,7,6,5,4,3]=>[9,8,7,6,5,2,3,1,4]
[1,9,8,7,6,3,2,5,4]=>[6,9,7,8,5,4,3,1,2]
[1,9,8,7,4,2,6,5,3]=>[5,9,8,6,7,4,3,1,2]
[4,9,8,7,6,3,2,1,5]=>[8,7,6,9,1,5,4,3,2]
[2,9,8,5,1,7,6,4,3]=>[4,9,8,7,5,6,1,3,2]
[5,9,8,7,4,1,2,6,3]=>[9,1,6,7,5,8,4,3,2]
[1,9,6,2,8,7,5,4,3]=>[3,9,8,7,6,4,5,1,2]
[6,9,8,5,1,2,7,4,3]=>[1,9,8,5,6,4,7,3,2]
[1,7,2,9,8,6,5,4,3]=>[2,9,8,7,6,5,1,3,4]
[7,9,6,2,1,8,5,4,3]=>[9,8,4,1,7,5,3,6,2]
[8,7,1,2,9,6,5,4,3]=>[9,8,7,6,3,4,2,1,5]
[1,6,7,8,9,2,3,4,5]=>[6,2,7,3,8,4,9,1,5]
[6,7,8,1,2,3,4,5,9]=>[4,5,6,1,7,2,8,3,9]
[1,7,8,9,2,3,4,5,6]=>[5,6,7,2,8,3,9,1,4]
[5,6,7,1,8,2,3,4,9]=>[6,1,7,2,8,4,3,5,9]
[4,6,7,8,1,2,3,5,9]=>[1,5,6,2,7,3,8,4,9]
[1,6,7,8,2,9,3,4,5]=>[7,2,8,3,9,5,1,4,6]
[1,5,7,8,9,2,3,4,6]=>[2,6,7,3,8,4,9,1,5]
[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,9,8,1]
[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,8,7,1,9]
[7,2,3,4,5,6,1,8,9]=>[2,3,4,5,7,6,1,8,9]
[6,2,3,4,5,1,7,8,9]=>[2,3,4,6,5,1,7,8,9]
[5,2,3,4,1,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]
[4,2,3,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]
[1,2,4,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]
[1,2,4,6,8,9,7,5,3]=>[5,9,4,8,3,7,1,2,6]
[1,2,4,5,3,6,7,8,9]=>[3,5,1,2,4,6,7,8,9]
[2,4,1,3,6,8,5,7,9]=>[5,1,2,7,8,3,4,6,9]
[8,2,1,3,4,5,6,7,9]=>[3,2,4,5,6,7,8,1,9]
[3,2,4,5,6,7,8,1,9]=>[2,1,3,4,5,6,8,7,9]
[8,3,1,2,4,5,6,7,9]=>[3,4,2,5,6,7,8,1,9]
[8,2,3,1,4,5,6,7,9]=>[2,4,3,5,6,7,8,1,9]
[4,2,3,5,6,7,8,1,9]=>[2,3,1,4,5,6,8,7,9]
[1,9,3,4,5,6,7,8,2]=>[3,4,5,6,7,9,8,1,2]
[1,9,8,4,5,6,7,3,2]=>[4,5,6,9,8,7,3,1,2]
[1,7,2,3,4,5,6,9,8]=>[9,3,4,5,6,1,2,7,8]
[6,9,1,2,3,4,5,7,8]=>[3,4,5,6,1,7,8,9,2]
[1,3,4,5,6,7,9,8,2]=>[9,2,3,4,5,6,8,1,7]
[7,3,4,5,6,8,1,2,9]=>[2,3,4,7,5,1,8,6,9]
[2,3,4,5,7,6,8,1,9]=>[6,1,2,3,4,5,8,7,9]
[1,8,4,5,6,7,9,2,3]=>[3,4,5,8,6,2,9,1,7]
[1,3,4,5,6,8,7,9,2]=>[7,2,3,4,5,6,9,1,8]
[1,2,3,4,5,9,7,8,6]=>[7,9,8,1,2,3,4,5,6]
[1,2,3,4,9,6,7,8,5]=>[6,7,9,8,1,2,3,4,5]
[1,2,3,9,5,6,7,8,4]=>[5,6,7,9,8,1,2,3,4]
[1,2,9,4,5,6,7,8,3]=>[4,5,6,7,9,8,1,2,3]
[1,2,3,4,9,7,6,8,5]=>[7,6,9,8,1,2,3,4,5]
[1,2,3,9,6,5,7,8,4]=>[6,5,7,9,8,1,2,3,4]
[1,2,9,5,4,6,7,8,3]=>[5,4,6,7,9,8,1,2,3]
[1,9,4,3,5,6,7,8,2]=>[4,3,5,6,7,9,8,1,2]
[9,3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,9,8,1]
[3,5,6,7,8,9,4,2,1]=>[2,3,4,5,9,1,8,7,6]
[1,2,3,5,7,4,6,9,8]=>[9,4,6,1,2,3,5,7,8]
[1,2,3,6,4,7,5,9,8]=>[6,4,9,1,2,3,5,7,8]
[1,2,3,4,6,8,5,7,9]=>[5,7,8,1,2,3,4,6,9]
[1,2,3,4,7,5,8,6,9]=>[8,6,1,2,3,4,5,7,9]
[1,2,5,7,3,4,6,9,8]=>[3,9,5,6,1,2,4,7,8]
[1,2,4,5,7,3,6,9,8]=>[9,3,4,6,1,2,5,7,8]
[1,2,6,3,4,7,5,9,8]=>[6,9,4,1,2,3,5,7,8]
[1,2,5,6,3,7,4,9,8]=>[3,6,4,9,1,2,5,7,8]
[2,3,1,9,4,5,6,7,8]=>[1,2,5,6,7,8,9,3,4]
[4,9,1,2,3,5,6,7,8]=>[3,4,1,5,6,7,8,9,2]
[3,9,1,2,4,5,6,7,8]=>[3,1,4,5,6,7,8,9,2]
[6,8,1,9,2,3,4,5,7]=>[5,6,7,1,8,9,3,2,4]
[4,8,1,2,3,9,5,6,7]=>[7,1,8,9,3,4,5,2,6]
[3,8,1,2,4,5,9,6,7]=>[1,8,9,3,4,5,6,2,7]
[1,8,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,1,2,9]
[9,8,7,5,6,4,3,2,1]=>[4,9,8,7,6,5,3,2,1]
[2,1,9,8,6,7,5,4,3]=>[5,9,8,7,6,1,4,2,3]
[9,8,7,5,4,6,3,2,1]=>[5,4,9,8,7,6,3,2,1]
[9,8,7,4,6,5,3,2,1]=>[9,4,8,7,6,5,3,2,1]
[2,1,9,8,6,5,7,4,3]=>[6,5,9,8,7,1,4,2,3]
[2,1,9,8,5,7,6,4,3]=>[9,5,8,7,6,1,4,2,3]
[1,8,7,6,5,4,3,2,9]=>[8,7,6,5,4,3,1,2,9]
[2,1,8,7,6,5,4,3,9]=>[8,7,6,5,1,4,2,3,9]
[2,8,9,7,6,5,4,3,1]=>[2,9,8,7,6,5,1,4,3]
[4,5,6,7,8,1,2,9,3]=>[1,2,3,9,6,4,7,5,8]
[4,5,6,7,1,2,8,9,3]=>[1,2,7,3,9,5,4,6,8]
[4,5,6,1,2,7,8,9,3]=>[1,6,2,7,3,9,4,5,8]
[4,5,1,2,6,7,8,9,3]=>[5,1,6,2,7,9,3,4,8]
[7,8,1,2,3,4,5,9,6]=>[9,3,4,5,6,1,7,2,8]
[2,8,9,1,3,4,5,6,7]=>[4,5,6,7,8,1,2,9,3]
[7,1,8,2,9,3,4,5,6]=>[6,7,8,9,4,2,1,3,5]
[6,1,7,2,8,3,9,4,5]=>[8,9,6,4,2,1,3,5,7]
[5,1,6,2,7,3,8,4,9]=>[8,6,4,2,1,3,5,7,9]
[7,1,8,2,3,9,4,5,6]=>[7,8,9,4,5,2,1,3,6]
[6,1,7,2,8,3,4,9,5]=>[9,6,7,4,2,1,3,5,8]
[5,1,6,2,7,3,9,4,8]=>[8,5,3,1,9,2,4,6,7]
[4,1,5,2,7,3,8,6,9]=>[3,1,8,6,2,4,5,7,9]
[2,1,3,4,5,6,8,9,7]=>[1,7,9,2,3,4,5,6,8]
[2,1,3,4,5,6,7,9,8]=>[1,9,2,3,4,5,6,7,8]
[2,3,1,4,5,6,8,9,7]=>[1,2,7,9,3,4,5,6,8]
[1,3,2,4,5,6,8,9,7]=>[2,7,9,1,3,4,5,6,8]
[2,3,1,4,5,6,7,9,8]=>[1,2,9,3,4,5,6,7,8]
[1,3,2,4,5,6,7,9,8]=>[2,9,1,3,4,5,6,7,8]
[6,7,1,2,3,4,8,9,5]=>[7,9,3,4,1,5,2,6,8]
[7,8,6,5,4,3,2,9,1]=>[1,7,6,5,4,3,2,9,8]
[9,7,6,5,4,3,1,2,8]=>[7,8,6,5,4,3,2,9,1]
[2,4,3,5,6,7,8,9,1]=>[3,1,2,4,5,6,7,9,8]
[4,5,6,7,8,9,2,1,3]=>[1,2,3,4,8,7,5,9,6]
[5,6,7,8,9,2,1,3,4]=>[1,2,7,6,3,8,4,9,5]
[6,7,8,9,2,1,3,4,5]=>[6,5,1,7,2,8,3,9,4]
[7,8,9,2,1,3,4,5,6]=>[5,4,6,7,1,8,2,9,3]
[8,9,2,1,3,4,5,6,7]=>[4,3,5,6,7,8,1,9,2]
[8,6,4,3,2,1,9,7,5]=>[4,3,9,5,2,8,6,1,7]
[7,5,4,3,2,1,8,6,9]=>[5,4,3,2,8,6,1,7,9]
[8,6,4,2,1,9,7,5,3]=>[3,9,8,4,2,7,5,1,6]
[7,5,3,2,1,8,6,4,9]=>[3,8,4,2,7,5,1,6,9]
[7,4,3,2,1,8,5,9,6]=>[3,2,9,4,7,5,1,6,8]
[6,4,3,2,1,7,5,8,9]=>[4,3,2,7,5,1,6,8,9]
[7,5,3,1,8,6,4,2,9]=>[8,3,2,7,6,4,1,5,9]
[7,4,2,1,8,5,3,9,6]=>[6,2,9,3,7,4,1,5,8]
[6,4,2,1,7,5,3,8,9]=>[7,3,2,6,4,1,5,8,9]
[6,3,2,1,7,4,8,5,9]=>[2,8,3,6,4,1,5,7,9]
[5,3,2,1,6,4,7,8,9]=>[3,2,6,4,1,5,7,8,9]
[7,4,1,8,5,2,9,6,3]=>[2,5,9,8,6,3,1,4,7]
[6,3,1,7,4,2,8,5,9]=>[2,5,8,6,3,1,4,7,9]
[5,3,1,6,4,2,7,8,9]=>[2,6,5,3,1,4,7,8,9]
[6,2,1,7,3,8,4,9,5]=>[9,7,2,5,3,1,4,6,8]
[5,2,1,6,3,7,4,8,9]=>[7,2,5,3,1,4,6,8,9]
[4,2,1,5,3,6,7,8,9]=>[2,5,3,1,4,6,7,8,9]
[4,1,5,2,6,3,7,8,9]=>[6,4,2,1,3,5,7,8,9]
[3,1,4,2,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]
[1,7,2,3,4,5,6,8,9]=>[3,4,5,6,7,1,2,8,9]
[1,2,3,4,5,6,8,7,9]=>[8,1,2,3,4,5,6,7,9]
[1,2,3,4,5,7,6,8,9]=>[7,1,2,3,4,5,6,8,9]
[9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,8,7,9,1]
[8,2,3,4,5,6,9,1,7]=>[2,3,4,5,6,8,1,9,7]
[8,2,3,9,5,6,7,1,4]=>[5,8,6,9,2,3,1,7,4]
[8,2,9,4,5,6,7,1,3]=>[4,5,8,6,9,2,1,7,3]
[8,9,3,4,5,6,7,1,2]=>[3,4,5,8,6,1,9,7,2]
[4,2,3,1,9,8,7,6,5]=>[9,1,8,7,2,3,6,4,5]
[3,2,1,9,8,6,7,5,4]=>[6,9,8,1,7,2,5,3,4]
[1,3,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]
[1,4,2,3,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]
[8,2,3,4,5,6,7,9,1]=>[2,3,4,5,6,7,1,9,8]
[7,2,3,4,5,6,9,8,1]=>[9,2,3,4,5,1,6,8,7]
[6,2,3,4,5,9,7,8,1]=>[7,9,2,3,1,4,5,8,6]
[5,2,3,4,9,6,7,8,1]=>[6,7,1,9,2,3,4,8,5]
[4,2,3,9,5,6,7,8,1]=>[5,1,6,7,9,2,3,8,4]
[3,2,9,4,5,6,7,8,1]=>[1,4,5,6,7,9,2,8,3]
[2,9,3,4,5,6,7,8,1]=>[3,4,5,6,7,9,1,8,2]
[6,2,3,4,5,1,8,9,7]=>[2,3,4,5,1,7,9,6,8]
[5,2,3,4,1,7,9,8,6]=>[9,2,3,1,4,6,8,5,7]
[4,2,3,1,6,9,7,8,5]=>[7,1,9,2,3,5,8,4,6]
[3,2,1,5,9,6,7,8,4]=>[1,6,7,9,2,4,8,3,5]
[2,1,4,9,5,6,7,8,3]=>[5,6,7,9,1,3,8,2,4]
[1,3,9,4,5,6,7,8,2]=>[4,5,6,7,9,2,8,1,3]
[2,3,5,6,4,7,8,1,9]=>[3,5,1,2,4,6,8,7,9]
[1,3,4,6,7,5,8,9,2]=>[4,6,2,3,5,7,9,1,8]
[2,3,6,5,7,4,8,1,9]=>[4,3,6,1,2,5,8,7,9]
[2,3,5,6,7,1,8,4,9]=>[3,4,8,1,2,6,5,7,9]
[1,3,4,7,6,8,5,9,2]=>[5,4,7,2,3,6,9,1,8]
[1,3,4,6,7,8,2,9,5]=>[4,5,9,2,3,7,1,6,8]
[2,3,4,5,6,1,8,7,9]=>[1,2,3,4,5,8,6,7,9]
[2,3,4,5,1,7,6,8,9]=>[1,2,3,4,7,5,6,8,9]
[2,3,4,1,6,5,7,8,9]=>[1,2,3,6,4,5,7,8,9]
[2,3,1,5,4,6,7,8,9]=>[1,2,5,3,4,6,7,8,9]
[1,8,6,4,2,9,7,5,3]=>[9,4,3,8,7,5,1,2,6]
[8,6,4,2,1,7,5,3,9]=>[8,4,3,7,5,2,6,1,9]
[8,7,5,3,1,6,4,2,9]=>[4,8,7,5,3,6,2,1,9]
[1,9,7,5,3,2,8,6,4]=>[9,5,4,8,6,3,7,1,2]
[1,9,8,6,4,2,7,5,3]=>[5,9,8,6,4,7,3,1,2]
[6,3,5,1,2,4,7,8,9]=>[4,2,5,6,3,1,7,8,9]
[8,6,5,4,3,2,1,7,9]=>[7,6,5,4,3,2,8,1,9]
[9,4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,9,8,1]
[8,1,2,3,4,5,7,6,9]=>[8,2,3,4,5,6,7,1,9]
[1,9,2,3,4,5,6,8,7]=>[9,3,4,5,6,7,8,1,2]
[8,1,2,3,4,7,6,5,9]=>[8,7,2,3,4,5,6,1,9]
[8,1,2,3,4,6,5,7,9]=>[7,2,3,4,5,6,8,1,9]
[1,9,2,3,4,5,8,7,6]=>[9,8,3,4,5,6,7,1,2]
[1,9,2,3,4,5,7,6,8]=>[8,3,4,5,6,7,9,1,2]
[1,3,4,5,6,7,8,2,9]=>[2,3,4,5,6,8,1,7,9]
[2,1,4,5,6,7,9,3,8]=>[1,3,4,5,6,8,9,2,7]
[2,1,4,5,6,7,8,3,9]=>[1,3,4,5,6,8,2,7,9]
[1,6,9,8,7,5,4,3,2]=>[9,8,2,7,6,5,4,1,3]
[1,4,9,8,7,6,5,3,2]=>[9,8,7,6,2,5,4,1,3]
[1,3,9,8,7,6,5,4,2]=>[9,8,7,6,5,2,4,1,3]
[8,7,1,9,6,5,4,3,2]=>[9,8,7,6,5,3,2,1,4]
[6,7,9,1,8,5,4,3,2]=>[1,2,9,8,7,6,4,5,3]
[5,6,9,8,1,7,4,3,2]=>[9,1,2,8,7,5,6,4,3]
[5,4,9,8,7,1,6,3,2]=>[9,1,8,2,6,7,5,4,3]
[3,4,9,8,7,6,1,5,2]=>[9,7,8,6,1,2,5,4,3]
[2,3,9,8,7,6,5,1,4]=>[8,9,7,6,5,1,2,4,3]
[1,7,6,9,8,5,4,3,2]=>[2,9,3,8,7,6,5,1,4]
[1,6,9,5,8,7,4,3,2]=>[9,2,4,8,7,6,5,1,3]
[8,7,6,1,9,5,4,3,2]=>[9,8,7,6,4,3,2,1,5]
[5,1,9,8,4,7,6,3,2]=>[9,1,5,8,7,6,4,2,3]
[6,7,9,5,1,8,4,3,2]=>[1,2,9,8,7,5,4,6,3]
[1,4,9,8,7,3,6,5,2]=>[9,6,8,7,2,5,4,1,3]
[5,6,9,8,4,1,7,3,2]=>[9,1,2,8,6,5,7,4,3]
[1,3,9,8,7,6,2,5,4]=>[9,7,8,6,5,2,4,1,3]
[5,4,9,8,7,3,1,6,2]=>[9,1,7,2,6,8,5,4,3]
[3,4,9,8,7,6,2,1,5]=>[8,7,9,6,1,2,5,4,3]
[9,3,4,2,5,6,7,8,1]=>[2,4,3,5,6,7,9,8,1]
[1,2,3,4,5,7,9,8,6]=>[9,6,8,1,2,3,4,5,7]
[1,2,3,4,6,7,9,8,5]=>[9,5,6,8,1,2,3,4,7]
[1,2,3,4,6,8,9,7,5]=>[6,9,5,8,1,2,3,4,7]
[1,2,3,4,6,9,8,7,5]=>[9,8,5,7,1,2,3,4,6]
[1,2,3,5,6,7,9,8,4]=>[9,4,5,6,8,1,2,3,7]
[1,2,3,5,6,8,9,7,4]=>[6,9,4,5,8,1,2,3,7]
[1,2,3,5,6,9,8,7,4]=>[9,8,4,5,7,1,2,3,6]
[1,2,3,5,7,9,8,6,4]=>[9,5,8,4,7,1,2,3,6]
[1,2,3,5,9,8,7,6,4]=>[9,8,7,4,6,1,2,3,5]
[1,2,4,5,7,8,9,6,3]=>[5,6,9,3,4,8,1,2,7]
[1,2,4,5,7,9,8,6,3]=>[9,5,8,3,4,7,1,2,6]
[1,2,4,5,9,8,7,6,3]=>[9,8,7,3,4,6,1,2,5]
[1,2,4,6,9,8,7,5,3]=>[9,8,4,7,3,6,1,2,5]
[1,2,4,9,8,7,6,5,3]=>[9,8,7,6,3,5,1,2,4]
[1,3,5,7,9,8,6,4,2]=>[9,4,8,3,7,2,6,1,5]
[1,3,5,9,8,7,6,4,2]=>[9,8,7,3,6,2,5,1,4]
[6,5,1,2,3,7,8,9,4]=>[6,7,9,3,2,1,4,5,8]
[4,1,3,2,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]
[6,1,2,4,5,3,7,8,9]=>[4,6,2,3,5,1,7,8,9]
[5,4,1,2,3,6,7,8,9]=>[3,4,5,2,1,6,7,8,9]
[8,1,2,3,5,6,7,4,9]=>[5,6,8,2,3,4,7,1,9]
[4,1,6,3,5,2,7,8,9]=>[4,1,6,5,2,3,7,8,9]
[8,1,7,3,2,6,4,5,9]=>[4,7,8,5,6,2,3,1,9]
[5,7,1,6,2,4,3,8,9]=>[7,5,1,6,3,4,2,8,9]
[7,3,4,6,1,2,5,8,9]=>[2,5,3,6,7,4,1,8,9]
[6,1,2,9,4,5,7,8,3]=>[5,6,7,1,9,8,2,3,4]
[4,1,6,3,8,5,7,2,9]=>[1,6,3,8,4,7,2,5,9]
[6,8,5,1,7,2,3,4,9]=>[6,7,1,8,4,3,5,2,9]
[8,3,4,5,7,1,2,6,9]=>[2,3,6,4,7,8,5,1,9]
[5,7,1,9,2,8,4,6,3]=>[1,7,9,8,5,2,6,3,4]
[7,9,4,6,1,8,2,3,5]=>[7,3,8,1,9,5,4,6,2]
[3,4,1,6,2,5,8,7,9]=>[1,2,8,5,3,4,6,7,9]
[3,4,1,2,6,5,8,7,9]=>[1,5,2,8,3,4,6,7,9]
[3,5,1,6,2,4,8,7,9]=>[8,1,5,3,2,4,6,7,9]
[2,5,1,6,3,4,8,7,9]=>[8,5,1,3,2,4,6,7,9]
[3,5,1,2,6,4,8,7,9]=>[1,5,8,3,2,4,6,7,9]
[2,5,1,3,6,4,8,7,9]=>[5,8,1,3,2,4,6,7,9]
[8,6,4,2,1,3,5,7,9]=>[5,4,6,3,7,2,8,1,9]
[8,6,2,1,4,3,5,7,9]=>[3,6,4,5,7,2,8,1,9]
[8,4,2,1,6,3,5,7,9]=>[3,6,2,7,4,5,8,1,9]
[6,4,2,1,8,3,5,7,9]=>[3,6,2,7,1,8,4,5,9]
[8,6,4,2,9,1,3,5,7]=>[4,6,3,7,2,8,1,9,5]
[9,6,4,2,7,1,3,5,8]=>[4,6,3,7,2,8,5,9,1]
[9,7,4,2,5,1,3,6,8]=>[4,6,3,7,5,8,2,9,1]
[9,7,5,2,3,1,4,6,8]=>[4,6,5,7,3,8,2,9,1]
[9,7,5,3,1,2,4,6,8]=>[5,6,4,7,3,8,2,9,1]
[8,2,1,4,3,6,5,7,9]=>[2,4,7,3,5,6,8,1,9]
[4,2,1,6,3,5,8,7,9]=>[8,2,1,5,3,4,6,7,9]
[6,4,2,1,8,3,5,9,7]=>[9,3,2,6,1,7,4,5,8]
[6,4,2,7,1,3,5,8,9]=>[3,5,2,6,1,7,4,8,9]
[8,9,4,2,5,1,3,6,7]=>[4,6,3,7,5,8,1,9,2]
[9,6,7,2,3,1,4,5,8]=>[4,6,5,7,2,8,3,9,1]
[9,7,4,5,1,2,3,6,8]=>[5,6,3,7,4,8,2,9,1]
[1,2,9,3,4,5,6,8,7]=>[9,4,5,6,7,8,1,2,3]
[1,2,3,8,4,5,9,6,7]=>[8,9,5,6,1,2,3,4,7]
[1,2,3,4,9,5,6,8,7]=>[9,6,7,8,1,2,3,4,5]
[1,2,3,4,5,9,6,8,7]=>[9,7,8,1,2,3,4,5,6]
[7,1,2,3,4,8,5,9,6]=>[9,7,2,3,4,5,1,6,8]
[6,9,1,2,3,4,8,5,7]=>[8,9,3,4,1,5,6,7,2]
[5,1,9,2,3,4,8,6,7]=>[8,9,4,1,5,6,7,2,3]
[4,1,2,3,5,8,6,9,7]=>[9,7,2,1,3,4,5,6,8]
[3,1,2,4,9,5,8,6,7]=>[1,8,9,6,7,2,3,4,5]
[2,1,3,4,5,9,6,8,7]=>[9,1,7,8,2,3,4,5,6]
[1,7,2,3,4,5,9,8,6]=>[9,8,3,4,5,1,2,6,7]
[1,6,2,3,4,5,9,8,7]=>[9,8,3,4,1,2,5,6,7]
[6,1,2,3,7,4,8,9,5]=>[7,5,9,2,3,1,4,6,8]
[1,2,3,8,5,4,6,9,7]=>[5,9,6,7,1,2,3,4,8]
[5,9,1,2,6,3,4,8,7]=>[9,6,3,1,4,5,7,8,2]
[1,4,2,3,5,6,9,8,7]=>[2,9,8,1,3,4,5,6,7]
[4,1,9,5,2,3,6,8,7]=>[1,9,5,4,6,7,8,2,3]
[1,3,2,4,5,6,9,8,7]=>[9,2,8,1,3,4,5,6,7]
[3,4,1,2,5,6,8,9,7]=>[1,7,2,9,3,4,5,6,8]
[2,3,1,4,9,5,6,8,7]=>[9,1,2,6,7,8,3,4,5]
[8,1,2,3,4,6,9,5,7]=>[6,8,9,2,3,4,5,1,7]
[8,1,2,4,6,9,3,5,7]=>[7,4,5,8,9,2,3,1,6]
[6,1,2,3,4,5,9,8,7]=>[9,8,2,3,4,1,5,6,7]
[5,1,2,3,4,8,6,9,7]=>[9,7,2,3,1,4,5,6,8]
[4,1,2,3,9,6,8,5,7]=>[6,1,8,9,7,2,3,4,5]
[3,1,2,8,4,6,9,5,7]=>[1,6,8,9,5,2,3,4,7]
[2,1,9,4,6,8,3,5,7]=>[7,4,5,8,9,1,6,2,3]
[1,8,2,4,6,9,3,5,7]=>[7,4,5,8,9,3,1,2,6]
[4,3,5,6,7,8,9,1,2]=>[2,1,3,4,5,8,6,9,7]
[6,7,8,5,4,3,2,1,9]=>[1,2,8,7,6,5,4,3,9]
[6,5,7,8,4,3,2,1,9]=>[2,1,3,8,7,6,5,4,9]
[6,5,4,7,8,3,2,1,9]=>[3,2,1,4,8,7,6,5,9]
[6,5,4,3,7,8,2,1,9]=>[4,3,2,1,5,8,7,6,9]
[6,5,4,3,2,7,8,1,9]=>[5,4,3,2,1,6,8,7,9]
[7,8,9,5,4,3,2,1,6]=>[1,8,7,6,5,4,2,9,3]
[6,7,8,9,4,3,2,1,5]=>[1,2,8,7,6,5,3,9,4]
[6,5,7,8,9,3,2,1,4]=>[2,1,3,8,7,6,4,9,5]
[6,5,4,7,8,9,2,1,3]=>[3,2,1,4,8,7,5,9,6]
[6,5,4,3,7,8,9,1,2]=>[4,3,2,1,5,8,6,9,7]
[6,5,4,3,2,7,8,9,1]=>[5,4,3,2,1,6,7,9,8]
[8,7,6,5,3,2,1,4,9]=>[7,6,5,8,4,3,2,1,9]
[8,7,6,4,3,2,1,5,9]=>[7,6,5,4,8,3,2,1,9]
[8,7,5,4,3,2,1,6,9]=>[7,6,5,4,3,8,2,1,9]
[8,7,6,5,4,1,2,3,9]=>[6,7,8,5,4,3,2,1,9]
[8,7,6,5,2,3,1,4,9]=>[5,7,6,8,4,3,2,1,9]
[8,7,6,3,4,2,1,5,9]=>[4,7,6,5,8,3,2,1,9]
[8,7,4,5,3,2,1,6,9]=>[3,7,6,5,4,8,2,1,9]
[8,5,6,4,3,2,1,7,9]=>[2,7,6,5,4,3,8,1,9]
[6,7,5,4,3,2,1,8,9]=>[1,7,6,5,4,3,2,8,9]
[6,8,7,9,5,4,3,2,1]=>[3,1,2,9,8,7,6,5,4]
[5,8,7,6,9,4,3,2,1]=>[4,3,1,2,9,8,7,6,5]
[4,8,7,6,5,9,3,2,1]=>[5,4,3,1,2,9,8,7,6]
[3,8,7,6,5,4,9,2,1]=>[6,5,4,3,1,2,9,8,7]
[2,8,7,6,5,4,3,9,1]=>[7,6,5,4,3,1,2,9,8]
[1,9,2,4,5,6,7,8,3]=>[4,5,6,7,9,3,8,1,2]
[9,1,3,4,5,6,7,8,2]=>[3,4,5,6,7,9,2,8,1]
[1,8,3,4,5,6,9,2,7]=>[3,4,5,6,8,2,9,1,7]
[8,2,3,4,5,1,9,7,6]=>[9,2,3,4,5,8,6,1,7]
[8,1,9,4,5,6,7,3,2]=>[4,5,6,9,8,7,2,1,3]
[7,9,3,4,5,6,1,8,2]=>[3,4,5,1,9,7,6,8,2]
[1,2,8,4,5,6,9,3,7]=>[4,5,6,8,3,9,1,2,7]
[7,8,3,4,5,2,9,1,6]=>[3,4,6,5,1,8,2,9,7]
[8,2,3,4,1,6,9,7,5]=>[9,2,3,4,6,8,5,1,7]
[8,1,3,9,5,6,7,4,2]=>[5,6,9,8,3,7,2,1,4]
[7,8,9,4,5,6,3,1,2]=>[4,1,8,5,2,9,7,6,3]
[6,9,3,4,5,1,7,8,2]=>[3,4,1,7,5,9,6,8,2]
[4,1,5,6,7,8,9,2,3]=>[3,1,4,5,8,6,9,2,7]
[2,3,4,5,8,9,1,6,7]=>[7,8,1,2,3,4,5,9,6]
[2,3,6,7,1,8,9,4,5]=>[3,8,6,1,2,4,9,5,7]
[9,8,7,6,5,4,2,3,1]=>[7,9,8,6,5,4,3,2,1]
[2,3,9,8,7,6,5,4,1]=>[9,8,7,6,5,1,2,4,3]
[9,1,3,2,4,5,6,7,8]=>[4,2,3,5,6,7,8,9,1]
[9,8,7,1,6,5,4,3,2]=>[9,8,7,6,4,5,3,2,1]
[9,8,7,6,1,5,4,3,2]=>[9,8,7,5,6,4,3,2,1]
[9,8,7,6,5,1,4,3,2]=>[9,8,6,7,5,4,3,2,1]
[3,5,2,4,7,6,9,8,1]=>[5,1,2,9,3,4,6,8,7]
[2,4,3,6,5,8,7,1,9]=>[2,4,8,1,3,5,7,6,9]
[3,5,1,2,4,7,6,9,8]=>[1,6,9,3,2,4,5,7,8]
[3,4,5,6,7,8,2,9,1]=>[1,2,3,4,5,7,6,9,8]
[1,4,5,6,7,8,3,9,2]=>[2,3,4,5,7,6,9,1,8]
[3,4,5,6,7,2,1,9,8]=>[1,2,3,4,6,5,9,7,8]
[2,1,5,6,7,8,9,4,3]=>[3,4,5,6,9,1,8,2,7]
[2,4,5,6,7,8,3,1,9]=>[2,3,4,5,8,1,7,6,9]
[8,7,6,4,5,3,2,9,1]=>[4,7,6,5,3,2,1,9,8]
[2,9,8,7,5,6,4,3,1]=>[5,9,8,7,6,4,1,3,2]
[8,6,9,7,5,4,3,2,1]=>[9,2,1,8,7,6,5,4,3]
[8,7,5,9,6,4,3,2,1]=>[9,3,2,1,8,7,6,5,4]
[8,7,6,4,9,5,3,2,1]=>[9,4,3,2,1,8,7,6,5]
[8,7,6,5,3,9,4,2,1]=>[9,5,4,3,2,1,8,7,6]
[8,7,6,5,4,2,9,3,1]=>[9,6,5,4,3,2,1,8,7]
[5,6,4,7,3,8,2,9,1]=>[1,3,2,5,4,7,6,9,8]
[5,6,4,7,3,9,2,8,1]=>[1,3,2,5,4,7,9,8,6]
[5,4,6,3,7,2,8,1,9]=>[2,1,4,3,6,5,8,7,9]
[1,8,3,4,5,6,7,9,2]=>[3,4,5,6,7,2,9,1,8]
[7,2,3,4,5,6,1,9,8]=>[2,3,4,5,6,1,9,7,8]
[2,1,9,4,5,6,7,8,3]=>[4,5,6,7,9,1,8,2,3]
[2,8,3,4,5,6,7,1,9]=>[3,4,5,6,8,1,7,2,9]
[2,9,1,8,7,6,5,4,3]=>[9,8,7,6,5,1,3,4,2]
[2,9,8,1,7,6,5,4,3]=>[9,8,7,6,4,5,1,3,2]
[6,1,2,3,4,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]
[5,1,2,3,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]
[4,1,2,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]
[9,8,2,3,4,5,6,7,1]=>[3,4,5,6,7,9,8,2,1]
[8,9,2,3,4,5,6,7,1]=>[3,4,5,6,7,1,9,8,2]
[9,8,7,6,4,5,3,2,1]=>[5,9,8,7,6,4,3,2,1]
[5,6,7,9,8,4,3,2,1]=>[9,1,2,3,8,7,6,5,4]
[5,6,7,8,9,1,4,3,2]=>[1,2,3,9,8,6,4,7,5]
[1,8,9,3,4,5,6,7,2]=>[4,5,6,7,2,9,8,1,3]
[3,4,5,6,1,8,9,2,7]=>[1,2,3,4,8,6,9,5,7]
[3,4,5,6,8,1,9,2,7]=>[1,2,3,4,8,9,6,5,7]
[3,4,5,6,8,9,1,2,7]=>[1,2,3,4,7,8,5,9,6]
[2,4,5,1,6,7,8,9,3]=>[2,5,1,3,6,7,9,4,8]
[2,3,4,1,6,7,8,9,5]=>[1,2,3,5,6,7,9,4,8]
[3,4,5,6,1,2,9,7,8]=>[1,2,3,8,4,9,5,6,7]
[3,4,5,6,8,1,2,7,9]=>[1,2,3,6,4,7,8,5,9]
[3,4,5,1,6,7,8,2,9]=>[1,2,5,3,6,8,4,7,9]
[5,6,1,7,8,9,2,3,4]=>[1,7,4,2,8,5,9,3,6]
[1,3,5,2,6,7,8,9,4]=>[5,2,3,6,7,9,1,4,8]
[2,1,4,3,6,7,8,9,5]=>[1,3,5,6,7,9,2,4,8]
[2,3,1,5,6,7,8,9,4]=>[1,2,4,5,6,7,9,3,8]
[9,7,8,5,4,3,2,1,6]=>[8,7,6,5,4,2,9,3,1]
[1,2,3,4,6,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]
[1,2,3,5,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]
[1,8,2,3,4,5,9,6,7]=>[8,9,3,4,5,6,1,2,7]
[1,3,4,5,6,8,9,2,7]=>[8,2,3,4,5,6,9,1,7]
[4,5,2,3,6,7,8,9,1]=>[3,1,4,2,5,6,7,9,8]
[4,3,2,5,6,7,8,9,1]=>[3,2,1,4,5,6,7,9,8]
[5,6,7,2,3,4,8,9,1]=>[4,1,5,2,6,3,7,9,8]
[5,3,6,2,4,7,8,9,1]=>[2,4,1,5,3,6,7,9,8]
[5,4,3,2,6,7,8,9,1]=>[4,3,2,1,5,6,7,9,8]
[6,3,7,8,2,4,5,9,1]=>[5,6,2,1,3,7,4,9,8]
[6,7,4,5,2,3,8,9,1]=>[5,3,1,6,4,2,7,9,8]
[6,4,3,7,2,5,8,9,1]=>[3,2,5,1,6,4,7,9,8]
[7,8,4,5,9,2,3,6,1]=>[3,6,4,1,7,2,9,8,5]
[7,4,3,8,9,2,5,6,1]=>[2,6,7,3,1,4,9,8,5]
[7,5,8,3,6,2,4,9,1]=>[4,2,6,1,7,5,3,9,8]
[7,5,4,3,8,2,6,9,1]=>[4,3,2,6,1,7,5,9,8]
[7,6,5,4,3,2,8,9,1]=>[6,5,4,3,2,1,7,9,8]
[8,6,4,9,3,7,2,5,1]=>[3,5,2,7,1,9,8,6,4]
[8,6,5,4,3,9,2,7,1]=>[5,4,3,2,7,1,9,8,6]
[2,4,1,5,3,6,7,8,9]=>[5,1,3,2,4,6,7,8,9]
[4,5,6,7,8,3,9,1,2]=>[1,2,3,4,8,6,5,9,7]
[8,9,2,3,4,5,1,6,7]=>[3,4,5,7,6,8,1,9,2]
[5,6,7,4,8,9,1,2,3]=>[1,2,7,4,3,8,5,9,6]
[7,8,9,2,3,1,4,5,6]=>[4,6,5,7,1,8,2,9,3]
[6,5,7,8,9,1,2,3,4]=>[6,2,1,7,3,8,4,9,5]
[7,1,2,3,4,5,8,6,9]=>[8,2,3,4,5,6,1,7,9]
[6,1,2,3,4,7,5,8,9]=>[7,2,3,4,5,1,6,8,9]
[5,1,2,3,6,4,7,8,9]=>[6,2,3,4,1,5,7,8,9]
[4,1,2,5,3,6,7,8,9]=>[5,2,3,1,4,6,7,8,9]
[8,1,2,3,4,5,9,7,6]=>[9,8,2,3,4,5,6,1,7]
[8,1,2,3,4,9,6,7,5]=>[7,9,8,2,3,4,5,1,6]
[9,1,2,3,8,5,6,7,4]=>[6,7,9,8,2,3,4,5,1]
[9,1,2,3,4,6,7,8,5]=>[6,7,9,2,3,4,5,8,1]
[1,2,3,4,5,8,9,6,7]=>[8,6,9,1,2,3,4,5,7]
[1,2,3,4,7,9,5,8,6]=>[5,9,7,8,1,2,3,4,6]
[1,2,3,6,9,4,7,8,5]=>[4,7,9,6,8,1,2,3,5]
[1,2,5,9,3,6,7,8,4]=>[3,6,7,9,5,8,1,2,4]
[1,4,9,2,5,6,7,8,3]=>[2,5,6,7,9,4,8,1,3]
[3,9,1,4,5,6,7,8,2]=>[1,4,5,6,7,9,3,8,2]
[2,8,1,9,3,4,5,6,7]=>[5,6,7,8,9,1,3,2,4]
[1,4,2,3,6,5,8,7,9]=>[5,2,8,1,3,4,6,7,9]
[1,3,4,2,6,5,8,7,9]=>[2,3,5,8,1,4,6,7,9]
[2,3,1,4,6,5,8,7,9]=>[1,2,5,8,3,4,6,7,9]
[4,6,1,2,3,5,8,7,9]=>[8,3,1,4,5,2,6,7,9]
[3,4,5,1,6,2,8,7,9]=>[1,2,5,3,8,4,6,7,9]
[3,1,2,4,6,5,8,7,9]=>[5,1,8,2,3,4,6,7,9]
[2,1,3,4,5,6,9,7,8]=>[1,8,9,2,3,4,5,6,7]
[1,2,3,4,5,7,8,6,9]=>[6,8,1,2,3,4,5,7,9]
[7,1,9,3,4,5,6,2,8]=>[4,5,6,8,7,1,9,2,3]
[7,2,1,9,4,5,6,3,8]=>[5,6,8,2,7,1,9,3,4]
[6,9,7,3,4,5,1,2,8]=>[4,1,7,5,8,6,3,9,2]
[3,8,1,2,9,5,6,7,4]=>[6,7,9,1,8,3,4,2,5]
[8,7,9,1,2,3,4,5,6]=>[4,5,6,7,8,2,1,9,3]
[7,2,3,1,9,5,6,4,8]=>[6,8,2,3,7,1,9,4,5]
[6,1,2,7,4,5,9,3,8]=>[5,6,4,8,1,9,2,3,7]
[5,9,6,3,4,1,7,2,8]=>[1,4,8,6,5,3,7,9,2]
[3,8,1,4,2,9,6,7,5]=>[7,9,1,4,8,3,5,2,6]
[9,7,2,3,8,5,6,1,4]=>[8,6,9,3,4,2,7,5,1]
[1,2,3,7,8,9,4,5,6]=>[7,4,8,5,9,1,2,3,6]
[1,2,6,7,9,3,4,8,5]=>[3,9,6,4,7,8,1,2,5]
[1,2,3,8,9,6,7,4,5]=>[8,6,4,9,7,1,2,3,5]
[1,2,3,6,9,4,8,7,5]=>[9,4,8,6,7,1,2,3,5]
[5,6,7,9,1,2,3,8,4]=>[1,9,5,2,6,3,7,8,4]
[1,5,8,9,2,6,7,3,4]=>[8,2,6,9,5,3,7,1,4]
[1,5,6,9,2,3,8,7,4]=>[2,3,9,8,5,6,7,1,4]
[1,2,7,9,5,8,3,6,4]=>[5,3,9,7,8,6,1,2,4]
[1,2,5,9,3,8,7,6,4]=>[9,8,3,7,5,6,1,2,4]
[4,7,9,1,5,8,2,6,3]=>[5,9,1,7,2,8,4,6,3]
[4,5,9,1,2,8,7,6,3]=>[9,1,2,8,7,4,5,6,3]
[1,8,9,6,7,4,5,2,3]=>[8,6,4,2,9,7,5,1,3]
[1,6,9,4,8,2,7,5,3]=>[2,9,4,8,6,7,5,1,3]
[1,4,9,2,8,7,6,5,3]=>[9,8,7,2,6,4,5,1,3]
[5,9,3,8,1,7,6,4,2]=>[9,1,8,3,7,5,6,4,2]
[3,9,1,8,7,6,5,4,2]=>[9,8,7,6,1,5,3,4,2]
[7,6,8,9,1,2,3,4,5]=>[5,6,7,2,1,8,3,9,4]
[5,4,6,7,8,9,1,2,3]=>[2,1,3,7,4,8,5,9,6]
[1,4,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]
[6,1,2,3,5,4,7,8,9]=>[6,2,3,4,5,1,7,8,9]
[2,3,4,5,6,9,8,7,1]=>[9,8,1,2,3,4,5,7,6]
[2,3,4,5,8,7,9,6,1]=>[6,5,9,1,2,3,4,8,7]
[2,3,6,5,7,8,9,4,1]=>[4,3,5,6,9,1,2,8,7]
[2,3,4,5,8,9,7,6,1]=>[5,9,8,1,2,3,4,7,6]
[3,4,5,6,7,1,2,8,9]=>[1,2,3,6,4,7,5,8,9]
[2,3,5,1,4,7,6,9,8]=>[6,1,2,3,9,4,5,7,8]
[3,4,1,5,2,7,6,9,8]=>[1,4,2,6,9,3,5,7,8]
[4,1,2,5,3,7,6,9,8]=>[4,6,1,9,2,3,5,7,8]
[4,2,6,8,1,3,5,7,9]=>[5,1,6,2,3,7,8,4,9]
[4,6,2,8,1,3,5,7,9]=>[3,1,5,6,2,7,8,4,9]
[4,6,8,2,1,3,5,7,9]=>[1,5,4,6,2,7,8,3,9]
[4,6,8,2,9,1,3,5,7]=>[1,4,6,2,7,8,3,9,5]
[4,6,2,7,9,1,3,5,8]=>[1,6,7,3,2,4,8,9,5]
[4,2,5,7,9,1,3,6,8]=>[3,1,6,7,2,4,8,9,5]
[2,3,5,7,9,1,4,6,8]=>[3,6,7,1,2,4,8,9,5]
[6,4,2,8,1,3,5,7,9]=>[3,5,2,6,1,7,8,4,9]
[8,4,6,2,1,3,5,7,9]=>[5,4,2,6,7,3,8,1,9]
[4,6,8,9,2,1,3,5,7]=>[6,1,5,2,7,8,3,9,4]
[4,6,2,7,1,3,5,8,9]=>[3,1,5,6,2,7,4,8,9]
[4,8,2,5,9,1,3,6,7]=>[1,6,3,4,7,8,2,9,5]
[6,2,3,7,9,1,4,5,8]=>[6,7,2,3,1,4,8,9,5]
[1,4,5,7,9,2,3,6,8]=>[2,3,6,7,4,8,9,1,5]
[8,6,4,9,7,5,3,2,1]=>[2,9,8,3,1,7,6,5,4]
[7,8,5,9,6,4,3,2,1]=>[1,9,3,2,8,7,6,5,4]
[8,6,4,2,9,7,5,3,1]=>[9,3,2,8,7,4,1,6,5]
[7,8,5,3,9,6,4,2,1]=>[3,1,9,8,4,2,7,6,5]
[7,4,8,5,9,6,3,2,1]=>[9,4,2,1,3,8,7,6,5]
[6,7,8,4,9,5,3,2,1]=>[1,2,9,4,3,8,7,6,5]
[7,8,5,3,1,9,6,4,2]=>[9,4,3,1,8,7,5,2,6]
[7,4,8,5,2,9,6,3,1]=>[4,9,2,1,8,5,3,7,6]
[6,7,8,4,2,9,5,3,1]=>[1,4,2,9,8,5,3,7,6]
[6,7,3,8,4,9,5,2,1]=>[1,9,5,3,2,4,8,7,6]
[5,6,7,8,3,9,4,2,1]=>[1,2,3,9,5,4,8,7,6]
[6,7,3,8,4,1,9,5,2]=>[5,1,9,3,2,8,6,4,7]
[5,6,7,8,3,1,9,4,2]=>[1,2,5,3,9,8,6,4,7]
[6,2,7,3,8,4,9,5,1]=>[9,6,4,2,1,3,5,8,7]
[5,6,7,2,8,3,9,4,1]=>[1,2,9,6,4,3,5,8,7]
[4,5,6,7,8,2,9,3,1]=>[1,2,3,4,9,6,5,8,7]
[5,6,1,7,2,8,3,9,4]=>[1,9,7,5,3,2,4,6,8]
[4,5,6,7,1,8,2,9,3]=>[1,2,3,9,7,5,4,6,8]
[2,1,4,3,6,5,9,7,8]=>[1,3,5,8,9,2,4,6,7]
[2,1,4,3,7,5,9,6,8]=>[8,1,3,5,9,2,4,6,7]
[2,1,5,3,7,4,9,6,8]=>[3,8,1,5,9,2,4,6,7]
[2,3,4,5,9,6,7,8,1]=>[6,7,9,1,2,3,4,8,5]
[2,3,4,9,5,6,7,8,1]=>[5,6,7,9,1,2,3,8,4]
[2,3,9,4,5,6,7,8,1]=>[4,5,6,7,9,1,2,8,3]
[2,3,4,5,9,7,6,8,1]=>[7,6,9,1,2,3,4,8,5]
[2,3,4,9,6,5,7,8,1]=>[6,5,7,9,1,2,3,8,4]
[2,3,9,5,4,6,7,8,1]=>[5,4,6,7,9,1,2,8,3]
[2,9,4,3,5,6,7,8,1]=>[4,3,5,6,7,9,1,8,2]
[2,3,4,5,9,7,8,6,1]=>[6,9,8,1,2,3,4,7,5]
[2,1,8,3,4,5,6,7,9]=>[1,4,5,6,7,8,2,3,9]
[1,9,6,2,3,4,5,8,7]=>[9,4,5,6,3,7,8,1,2]
[3,4,5,8,1,2,6,9,7]=>[1,2,3,9,5,6,7,4,8]
[9,8,7,4,5,6,3,2,1]=>[4,5,9,8,7,6,3,2,1]
[1,5,6,7,8,9,2,3,4]=>[2,3,7,4,8,5,9,1,6]
[1,7,2,8,9,3,4,5,6]=>[6,7,8,4,2,9,1,3,5]
[1,6,2,7,8,9,3,4,5]=>[7,4,2,8,5,9,1,3,6]
[1,5,2,6,7,8,9,3,4]=>[4,2,5,8,6,9,1,3,7]
[3,4,2,1,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]
[4,3,1,2,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]
[4,5,2,1,3,6,7,8,9]=>[4,3,1,5,2,6,7,8,9]
[3,4,2,5,1,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]
[5,3,1,2,4,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]
[4,3,5,1,2,6,7,8,9]=>[4,2,1,5,3,6,7,8,9]
[5,4,3,1,2,6,7,8,9]=>[4,5,3,2,1,6,7,8,9]
[6,5,4,3,1,2,7,8,9]=>[5,6,4,3,2,1,7,8,9]
[8,5,4,3,9,1,2,6,7]=>[6,4,3,2,7,8,1,9,5]
[6,2,3,4,5,1,9,7,8]=>[2,3,4,5,1,8,9,6,7]
[2,3,4,5,9,7,1,8,6]=>[9,7,1,2,3,4,6,8,5]
[2,3,4,9,6,7,1,8,5]=>[5,9,7,1,2,3,6,8,4]
[2,3,9,5,6,1,7,8,4]=>[4,7,5,9,1,2,6,8,3]
[2,3,9,5,1,7,4,8,6]=>[4,9,7,1,2,5,6,8,3]
[2,1,3,4,5,6,8,7,9]=>[1,8,2,3,4,5,6,7,9]
[2,3,4,5,6,8,7,9,1]=>[7,1,2,3,4,5,6,9,8]
[8,6,5,4,3,2,7,9,1]=>[6,5,4,3,2,7,1,9,8]
[8,9,5,4,3,2,1,6,7]=>[7,6,5,4,3,8,1,9,2]
[7,6,5,4,3,8,9,1,2]=>[5,4,3,2,1,8,6,9,7]
[9,6,5,4,3,2,7,1,8]=>[6,5,4,3,2,8,7,9,1]
[9,2,3,4,5,6,1,7,8]=>[2,3,4,5,7,6,8,9,1]
[3,1,5,6,7,8,9,2,4]=>[1,3,4,5,8,6,9,2,7]
[2,1,3,5,6,7,8,9,4]=>[1,4,5,6,7,9,2,3,8]
[3,4,5,6,7,9,1,2,8]=>[1,2,3,4,7,5,8,9,6]
[3,4,5,7,8,9,1,2,6]=>[7,1,2,3,4,8,5,9,6]
[3,5,6,7,8,9,1,2,4]=>[2,3,7,1,4,8,5,9,6]
[3,4,5,6,9,1,2,7,8]=>[1,2,3,6,4,7,8,9,5]
[3,4,5,6,1,2,7,8,9]=>[1,2,5,3,6,4,7,8,9]
[5,1,6,7,8,9,2,3,4]=>[3,1,7,4,8,5,9,2,6]
[1,2,5,6,7,3,8,9,4]=>[3,4,7,5,9,1,2,6,8]
[1,2,4,3,5,7,8,9,6]=>[3,6,7,9,1,2,4,5,8]
[3,1,2,4,5,6,7,9,8]=>[9,2,1,3,4,5,6,7,8]
[9,8,7,6,5,1,3,4,2]=>[7,9,6,8,5,4,3,2,1]
[9,8,7,6,1,4,5,3,2]=>[6,9,8,5,7,4,3,2,1]
[9,8,7,1,5,6,4,3,2]=>[5,9,8,7,4,6,3,2,1]
[9,8,1,6,7,5,4,3,2]=>[4,9,8,7,6,3,5,2,1]
[9,1,7,8,6,5,4,3,2]=>[3,9,8,7,6,5,2,4,1]
[1,3,4,5,6,7,2,9,8]=>[2,3,4,5,6,9,1,7,8]
[3,4,5,6,7,1,9,2,8]=>[1,2,3,4,8,5,9,6,7]
[3,2,4,1,6,5,8,7,9]=>[2,1,3,5,8,4,6,7,9]
[4,2,5,1,6,3,8,7,9]=>[5,2,1,3,8,4,6,7,9]
[4,2,6,1,7,3,8,5,9]=>[1,8,6,2,4,3,5,7,9]
[4,2,6,1,8,3,9,5,7]=>[1,8,3,9,2,6,4,5,7]
[4,2,6,1,7,3,5,9,8]=>[1,9,6,2,4,3,5,7,8]
[4,2,5,1,3,7,6,9,8]=>[6,2,1,3,9,4,5,7,8]
[3,2,5,4,6,1,8,7,9]=>[1,4,2,3,5,8,6,7,9]
[4,2,5,1,7,6,8,3,9]=>[3,1,6,2,5,8,4,7,9]
[4,2,6,1,7,3,9,8,5]=>[1,5,3,9,2,8,4,6,7]
[4,2,6,1,7,3,5,8,9]=>[6,1,7,2,4,3,5,8,9]
[4,2,5,1,3,8,9,6,7]=>[3,1,8,2,6,9,4,5,7]
[3,2,1,6,7,4,5,9,8]=>[1,4,9,2,6,3,5,7,8]
[1,4,5,2,3,7,6,9,8]=>[2,6,3,9,1,4,5,7,8]
[7,6,5,4,3,1,2,9,8]=>[9,6,5,4,3,2,1,7,8]
[7,6,5,4,2,1,3,9,8]=>[5,9,6,4,3,2,1,7,8]
[7,6,5,4,1,3,2,9,8]=>[6,9,5,4,3,2,1,7,8]
[9,8,7,6,5,3,2,4,1]=>[7,6,9,8,5,4,3,2,1]
[9,8,7,6,5,2,4,3,1]=>[9,6,8,7,5,4,3,2,1]
[2,3,4,8,6,7,9,5,1]=>[5,6,4,9,1,2,3,8,7]
[2,3,8,5,6,7,9,1,4]=>[4,5,8,6,1,2,3,9,7]
[2,8,4,5,6,7,9,3,1]=>[3,4,5,6,2,9,1,8,7]
[8,3,4,5,6,7,9,2,1]=>[2,3,4,5,6,1,9,8,7]
[2,3,4,5,7,9,1,8,6]=>[5,9,1,2,3,4,7,8,6]
[2,3,4,6,7,1,9,5,8]=>[4,8,1,2,3,5,9,6,7]
[2,3,5,6,1,7,9,4,8]=>[3,6,1,2,4,8,9,5,7]
[2,4,5,1,6,7,9,8,3]=>[2,3,9,1,5,6,8,4,7]
[3,4,1,5,6,7,9,2,8]=>[1,4,2,5,6,8,9,3,7]
[3,2,4,5,6,7,9,1,8]=>[2,1,3,4,5,6,8,9,7]
[2,3,4,7,6,9,8,5,1]=>[4,9,5,8,1,2,3,7,6]
[2,3,4,6,9,1,7,8,5]=>[4,7,9,1,2,3,6,8,5]
[2,5,4,6,8,7,9,1,3]=>[2,8,3,4,6,1,5,9,7]
[2,3,5,7,1,6,9,4,8]=>[3,6,8,1,2,4,9,5,7]
[4,3,5,8,6,7,9,2,1]=>[1,5,6,2,3,4,9,8,7]
[2,4,6,1,5,7,9,3,8]=>[2,5,6,1,3,8,9,4,7]
[2,4,8,5,6,7,9,1,3]=>[4,5,8,2,6,1,3,9,7]
[3,5,1,4,6,7,9,8,2]=>[9,1,4,2,5,6,8,3,7]
[4,2,3,5,6,7,9,1,8]=>[2,3,1,4,5,6,8,9,7]
[1,4,2,6,3,7,5,9,8]=>[2,6,4,9,1,3,5,7,8]
[1,3,2,6,4,7,5,9,8]=>[6,2,4,9,1,3,5,7,8]
[2,1,6,3,7,4,8,5,9]=>[8,6,1,4,2,3,5,7,9]
[7,9,6,8,4,5,2,3,1]=>[1,7,5,3,9,8,6,4,2]
[7,9,5,8,4,6,2,3,1]=>[3,1,7,5,9,8,6,4,2]
[7,9,5,8,3,6,2,4,1]=>[5,3,1,7,9,8,6,4,2]
[7,9,5,8,3,6,4,1,2]=>[5,3,1,8,9,7,6,4,2]
[7,9,5,8,6,3,4,1,2]=>[3,1,8,6,9,7,5,4,2]
[7,9,8,5,6,3,4,1,2]=>[1,8,6,4,9,7,5,3,2]
[6,9,5,8,4,7,2,3,1]=>[1,3,7,5,9,8,6,4,2]
[7,9,4,8,3,6,2,5,1]=>[3,5,1,7,9,8,6,4,2]
[7,9,5,8,2,6,1,4,3]=>[9,5,3,1,7,8,6,4,2]
[7,9,5,8,3,6,4,2,1]=>[3,1,9,5,8,7,6,4,2]
[7,9,5,8,6,3,1,4,2]=>[3,1,9,7,6,8,5,4,2]
[7,9,8,5,3,6,4,1,2]=>[5,1,8,4,9,7,6,3,2]
[9,7,5,8,6,3,4,1,2]=>[3,8,6,2,9,7,5,4,1]
[6,5,4,3,2,7,1,8,9]=>[5,4,3,2,1,7,6,8,9]
[5,4,3,2,6,1,7,8,9]=>[4,3,2,1,6,5,7,8,9]
[4,3,2,5,1,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]
[3,2,4,1,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]
[1,3,5,2,7,4,6,9,8]=>[3,9,2,6,1,4,5,7,8]
[1,3,5,2,7,4,9,6,8]=>[3,8,2,5,9,1,4,6,7]
[1,2,4,3,6,5,8,7,9]=>[3,5,8,1,2,4,6,7,9]
[1,3,5,7,2,4,6,9,8]=>[3,9,2,5,6,1,4,7,8]
[1,3,5,7,2,9,4,6,8]=>[3,7,8,2,4,9,1,5,6]
[5,6,2,1,3,7,4,8,9]=>[3,7,4,1,5,2,6,8,9]
[3,2,5,1,6,4,7,8,9]=>[1,6,2,4,3,5,7,8,9]
[6,7,2,1,8,3,4,9,5]=>[9,3,6,1,7,4,2,5,8]
[3,6,4,1,7,2,8,5,9]=>[3,8,1,6,4,2,5,7,9]
[3,6,7,2,1,4,8,5,9]=>[4,8,1,5,2,6,3,7,9]
[4,2,6,1,7,5,3,8,9]=>[1,7,6,2,4,3,5,8,9]
[4,3,2,6,1,7,5,8,9]=>[2,1,7,3,5,4,6,8,9]
[4,7,2,5,1,8,3,9,6]=>[1,4,9,3,7,5,2,6,8]
[4,3,7,8,2,1,5,9,6]=>[1,5,9,2,6,3,7,4,8]
[3,5,2,7,1,8,6,4,9]=>[2,8,1,7,3,5,4,6,9]
[5,4,3,2,7,1,8,6,9]=>[3,2,1,8,4,6,5,7,9]
[6,4,2,8,1,9,7,5,3]=>[9,2,1,8,7,3,5,4,6]
[4,3,6,2,8,1,9,7,5]=>[1,3,9,2,8,4,6,5,7]
[6,5,4,3,2,8,1,9,7]=>[4,3,2,1,9,5,7,6,8]
[2,8,7,9,6,5,4,3,1]=>[3,2,9,8,7,6,1,5,4]
[3,1,2,9,4,5,6,7,8]=>[5,1,6,7,8,9,2,3,4]
[4,1,2,3,9,5,6,7,8]=>[6,7,1,8,9,2,3,4,5]
[5,1,2,3,4,9,6,7,8]=>[7,8,9,2,1,3,4,5,6]
[6,1,2,3,4,5,9,7,8]=>[8,9,2,3,4,1,5,6,7]
[3,4,1,2,9,5,6,7,8]=>[1,6,2,7,8,9,3,4,5]
[4,5,1,2,3,9,6,7,8]=>[7,1,8,2,9,3,4,5,6]
[5,6,1,2,3,4,9,7,8]=>[8,9,3,1,4,2,5,6,7]
[6,7,1,2,3,4,5,9,8]=>[9,3,4,5,1,6,2,7,8]
[9,7,5,3,1,8,6,4,2]=>[9,4,3,8,7,5,2,6,1]
[9,6,3,8,5,2,7,4,1]=>[9,6,3,2,5,8,7,4,1]
[8,5,2,9,6,3,7,4,1]=>[2,9,6,5,8,3,1,7,4]
[9,5,1,6,2,7,3,8,4]=>[9,7,5,3,2,4,6,8,1]
[9,5,1,8,4,7,3,6,2]=>[5,2,7,9,8,6,3,4,1]
[8,4,7,3,6,2,9,5,1]=>[9,2,4,6,5,3,1,8,7]
[7,3,8,4,6,2,9,5,1]=>[9,4,6,2,1,5,3,8,7]
[9,4,7,2,5,8,3,6,1]=>[2,5,7,9,4,3,8,6,1]
[9,4,6,1,8,3,5,7,2]=>[2,6,7,3,9,8,4,5,1]
[8,3,5,7,2,9,4,6,1]=>[3,7,9,2,5,4,1,8,6]
[7,2,8,3,9,4,5,6,1]=>[6,7,9,4,2,1,3,8,5]
[8,3,7,2,9,4,5,6,1]=>[6,7,9,2,4,3,1,8,5]
[5,8,3,7,2,9,4,6,1]=>[1,7,9,3,5,4,2,8,6]
[4,5,6,9,3,8,2,7,1]=>[1,2,3,5,7,9,8,6,4]
[4,5,6,8,2,9,3,7,1]=>[1,2,3,7,9,5,4,8,6]
[9,3,6,5,4,7,1,8,2]=>[5,4,2,3,9,7,6,8,1]
[8,2,9,3,6,5,4,7,1]=>[7,6,4,5,9,2,1,8,3]
[6,5,4,8,2,9,3,7,1]=>[3,2,1,7,9,5,4,8,6]
[5,6,4,8,2,9,3,7,1]=>[1,3,2,7,9,5,4,8,6]
[9,2,7,4,5,6,3,8,1]=>[4,5,7,6,2,3,9,8,1]
[7,4,5,6,3,9,2,8,1]=>[2,3,5,4,1,7,9,8,6]
[5,7,4,6,3,9,2,8,1]=>[1,3,5,4,2,7,9,8,6]
[4,2,5,6,7,8,9,1,3]=>[3,1,4,5,8,2,6,9,7]
[5,6,7,9,1,2,3,4,8]=>[5,1,6,2,7,3,8,9,4]
[4,5,6,7,9,1,2,3,8]=>[1,2,6,3,7,4,8,9,5]
[1,6,5,7,4,8,3,9,2]=>[3,2,5,4,7,6,9,1,8]
[5,4,6,3,8,2,7,1,9]=>[2,1,4,3,6,8,7,5,9]
[3,4,5,6,7,8,2,1,9]=>[1,2,3,4,5,8,7,6,9]
[3,4,5,6,7,2,1,8,9]=>[1,2,3,4,7,6,5,8,9]
[4,5,6,7,8,1,2,3,9]=>[1,2,6,3,7,4,8,5,9]
[4,3,1,2,6,5,8,7,9]=>[5,2,1,8,3,4,6,7,9]
[6,5,3,1,2,4,8,7,9]=>[8,4,3,5,2,1,6,7,9]
[8,7,5,3,1,2,4,6,9]=>[5,6,4,7,3,8,2,1,9]
[7,5,3,1,2,4,6,9,8]=>[9,4,3,5,2,6,1,7,8]
[5,3,1,2,4,7,6,9,8]=>[6,2,9,3,1,4,5,7,8]
[4,1,2,6,5,3,8,7,9]=>[5,4,1,8,2,3,6,7,9]
[6,3,1,2,4,8,7,5,9]=>[2,8,7,3,4,1,5,6,9]
[8,5,3,1,2,4,6,9,7]=>[9,4,3,5,2,6,7,1,8]
[7,5,3,1,2,4,6,8,9]=>[4,5,3,6,2,7,1,8,9]
[5,3,1,2,4,9,7,6,8]=>[2,8,7,1,9,3,4,5,6]
[3,1,2,7,5,4,6,9,8]=>[1,5,9,6,2,3,4,7,8]
[1,5,3,2,4,7,6,9,8]=>[3,6,2,9,1,4,5,7,8]
[2,9,8,7,6,5,1,4,3]=>[9,7,8,6,5,4,1,3,2]
[1,7,6,5,4,3,2,9,8]=>[6,5,4,3,2,9,1,7,8]
[1,7,8,9,6,5,4,3,2]=>[2,3,9,8,7,6,5,1,4]
[1,6,7,8,9,5,4,3,2]=>[2,3,4,9,8,7,6,1,5]
[1,5,6,7,8,9,4,3,2]=>[2,3,4,5,9,8,7,1,6]
[1,4,5,6,7,8,9,3,2]=>[2,3,4,5,6,9,8,1,7]
[1,7,6,8,9,5,4,3,2]=>[3,2,4,9,8,7,6,1,5]
[1,6,5,7,8,9,4,3,2]=>[3,2,4,5,9,8,7,1,6]
[1,5,4,6,7,8,9,3,2]=>[3,2,4,5,6,9,8,1,7]
[9,8,7,6,5,2,1,3,4]=>[7,6,8,9,5,4,3,2,1]
[9,8,6,4,7,2,5,1,3]=>[6,4,8,3,9,7,5,2,1]
[9,7,8,6,5,4,3,2,1]=>[2,9,8,7,6,5,4,3,1]
[3,2,5,6,7,8,9,1,4]=>[1,3,4,5,8,2,6,9,7]
[4,2,5,6,7,8,9,3,1]=>[3,1,4,5,6,9,2,8,7]
[1,2,5,6,7,4,8,9,3]=>[3,4,6,5,7,9,1,2,8]
[1,3,4,5,6,7,2,8,9]=>[2,3,4,5,7,1,6,8,9]
[2,3,4,7,8,9,1,5,6]=>[7,4,8,1,2,3,5,9,6]
[2,3,6,7,8,9,1,4,5]=>[3,7,4,8,1,2,5,9,6]
[2,5,6,7,8,9,1,3,4]=>[2,3,7,4,8,1,5,9,6]
[2,3,4,5,1,9,6,7,8]=>[1,2,3,4,7,8,9,5,6]
[2,3,4,1,8,9,5,6,7]=>[7,8,1,2,3,5,9,4,6]
[2,3,1,7,8,9,4,5,6]=>[7,4,8,1,2,5,9,3,6]
[2,1,6,7,8,9,3,4,5]=>[3,7,4,8,1,5,9,2,6]
[4,1,2,3,6,5,8,7,9]=>[5,8,2,1,3,4,6,7,9]
[4,1,6,2,3,5,8,7,9]=>[8,4,1,5,2,3,6,7,9]
[2,3,1,9,8,7,6,5,4]=>[9,8,7,6,1,2,5,3,4]
[3,4,2,1,9,8,7,6,5]=>[9,8,1,2,7,3,6,4,5]
[4,5,3,2,1,9,8,7,6]=>[1,2,9,3,8,4,7,5,6]
[5,6,4,3,2,1,9,8,7]=>[1,4,3,2,9,5,8,6,7]
[6,7,5,4,3,2,1,9,8]=>[1,6,5,4,3,2,9,7,8]
[3,4,5,2,6,7,8,9,1]=>[1,2,4,3,5,6,7,9,8]
[3,4,5,6,7,2,8,9,1]=>[1,2,3,4,6,5,7,9,8]
[3,5,2,1,6,7,8,9,4]=>[1,3,5,2,6,7,9,4,8]
[3,4,6,2,1,7,8,9,5]=>[1,2,4,6,3,7,9,5,8]
[3,4,5,7,1,2,8,9,6]=>[1,2,3,7,9,5,4,6,8]
[3,4,5,6,8,2,1,9,7]=>[1,2,3,4,6,9,7,5,8]
[3,4,5,6,7,9,2,1,8]=>[1,2,3,4,5,8,7,9,6]
[3,5,6,2,4,7,8,9,1]=>[4,1,2,5,3,6,7,9,8]
[3,4,6,7,1,5,8,9,2]=>[6,1,2,3,7,4,9,5,8]
[3,6,2,1,4,7,8,9,5]=>[1,3,6,7,2,9,4,5,8]
[3,4,5,7,8,2,6,9,1]=>[6,1,2,3,4,7,5,9,8]
[3,4,7,2,1,5,8,9,6]=>[1,2,4,7,9,5,3,6,8]
[3,4,5,6,8,9,2,7,1]=>[7,1,2,3,4,5,9,8,6]
[3,4,5,6,9,2,1,7,8]=>[1,2,3,4,7,6,8,9,5]
[3,4,5,6,1,7,2,9,8]=>[1,2,3,6,4,9,5,7,8]
[1,4,5,9,6,7,2,8,3]=>[5,9,2,3,7,6,8,1,4]
[2,4,5,9,6,1,7,3,8]=>[8,2,3,6,1,5,7,9,4]
[3,4,5,7,6,1,9,2,8]=>[8,1,2,3,5,4,9,6,7]
[3,5,6,9,7,1,8,2,4]=>[2,3,8,9,1,6,5,7,4]
[1,4,8,5,6,2,7,9,3]=>[4,7,2,5,9,6,1,3,8]
[2,5,9,6,7,3,1,4,8]=>[7,2,6,4,8,1,5,9,3]
[4,1,5,2,7,6,3,9,8]=>[3,1,6,5,9,2,4,7,8]
[3,4,1,6,9,5,7,2,8]=>[1,2,4,6,8,7,9,3,5]
[6,7,9,8,1,3,4,2,5]=>[6,1,8,5,2,7,9,4,3]
[9,1,5,2,8,6,3,7,4]=>[3,9,7,6,8,2,4,5,1]
[1,7,4,5,2,6,8,9,3]=>[3,6,4,7,2,9,1,5,8]
[9,2,3,4,5,6,1,8,7]=>[2,3,4,5,6,9,7,8,1]
[9,2,3,4,5,1,7,8,6]=>[2,3,4,5,7,9,6,8,1]
[9,2,3,4,1,6,7,8,5]=>[2,3,4,6,7,9,5,8,1]
[9,2,3,1,5,6,7,8,4]=>[2,3,5,6,7,9,4,8,1]
[9,2,1,4,5,6,7,8,3]=>[2,4,5,6,7,9,3,8,1]
[5,2,3,4,1,9,6,8,7]=>[9,2,3,1,4,7,8,5,6]
[4,2,3,1,9,5,7,8,6]=>[7,1,9,2,3,6,8,4,5]
[3,2,1,9,4,6,7,8,5]=>[1,6,7,9,2,5,8,3,4]
[2,1,9,3,5,6,7,8,4]=>[5,6,7,9,1,4,8,2,3]
[6,8,9,1,2,3,4,5,7]=>[4,5,6,1,7,8,2,9,3]
[5,8,9,1,2,3,4,6,7]=>[4,5,1,6,7,8,2,9,3]
[2,3,4,5,1,7,6,9,8]=>[1,2,3,4,6,9,5,7,8]
[2,3,4,1,6,5,8,7,9]=>[1,2,3,5,8,4,6,7,9]
[2,3,4,5,1,8,6,9,7]=>[9,1,2,3,4,7,5,6,8]
[2,3,4,1,7,5,8,6,9]=>[8,1,2,3,6,4,5,7,9]
[3,4,5,6,7,9,1,8,2]=>[1,2,3,4,5,9,7,8,6]
[3,4,5,6,7,9,2,8,1]=>[1,2,3,4,5,7,9,8,6]
[3,4,5,6,7,1,9,8,2]=>[1,2,3,4,5,9,8,6,7]
[5,3,4,2,1,9,8,7,6]=>[9,2,1,3,8,4,7,5,6]
[6,5,3,4,2,1,9,8,7]=>[3,4,2,1,9,5,8,6,7]
[7,6,4,5,3,2,1,9,8]=>[3,6,5,4,2,1,9,7,8]
[3,4,5,1,2,6,7,8,9]=>[1,4,2,5,3,6,7,8,9]
[2,4,1,5,3,6,8,7,9]=>[4,1,2,8,3,5,6,7,9]
[2,4,1,7,3,8,5,6,9]=>[2,7,8,1,5,3,4,6,9]
[8,5,9,3,6,1,2,4,7]=>[6,4,2,7,8,5,1,9,3]
[9,7,1,5,8,3,6,2,4]=>[6,4,8,9,7,3,2,5,1]
[9,7,5,4,1,3,8,2,6]=>[6,8,4,3,9,5,2,7,1]
[9,6,5,4,3,2,1,7,8]=>[7,6,5,4,3,2,8,9,1]
[9,8,5,4,3,2,1,6,7]=>[7,6,5,4,3,8,9,2,1]
[9,1,2,3,4,5,8,7,6]=>[9,8,2,3,4,5,6,7,1]
[9,1,2,3,4,8,6,7,5]=>[7,9,8,2,3,4,5,6,1]
[9,1,2,8,4,5,6,7,3]=>[5,6,7,9,8,2,3,4,1]
[9,1,8,3,4,5,6,7,2]=>[4,5,6,7,9,8,2,3,1]
[9,1,2,3,4,7,8,6,5]=>[6,9,8,2,3,4,5,7,1]
[9,1,2,3,6,8,5,7,4]=>[5,7,9,8,2,3,4,6,1]
[9,1,2,5,8,4,6,7,3]=>[4,6,7,9,8,2,3,5,1]
[9,1,4,8,3,5,6,7,2]=>[3,5,6,7,9,8,2,4,1]
[9,3,8,2,4,5,6,7,1]=>[2,4,5,6,7,9,8,3,1]
[3,9,2,1,4,5,6,7,8]=>[1,4,3,5,6,7,8,9,2]
[3,4,5,6,8,9,1,7,2]=>[9,1,2,3,4,7,5,8,6]
[3,4,6,7,8,9,1,5,2]=>[3,4,9,1,2,7,5,8,6]
[3,5,6,7,8,9,1,4,2]=>[2,3,4,9,1,7,5,8,6]
[4,5,6,7,8,9,1,3,2]=>[1,2,3,4,9,7,5,8,6]
[5,4,2,3,6,7,8,9,1]=>[3,4,2,1,5,6,7,9,8]
[6,5,4,2,3,7,8,9,1]=>[4,5,3,2,1,6,7,9,8]
[7,6,5,4,2,3,8,9,1]=>[5,6,4,3,2,1,7,9,8]
[4,6,7,8,9,1,2,3,5]=>[6,1,2,7,3,8,4,9,5]
[5,7,8,9,1,2,3,4,6]=>[5,1,6,7,2,8,3,9,4]
[7,5,1,3,2,6,4,8,9]=>[4,7,3,5,2,6,1,8,9]
[9,6,1,3,4,2,7,8,5]=>[4,5,7,9,3,2,6,8,1]
[8,3,6,1,4,2,7,5,9]=>[2,5,8,4,6,3,7,1,9]
[9,8,1,7,2,3,4,5,6]=>[5,6,7,8,9,3,4,2,1]
[9,3,4,7,1,5,2,8,6]=>[2,3,6,9,5,7,4,8,1]
[8,7,5,4,6,3,2,9,1]=>[4,3,7,6,5,2,1,9,8]
[8,7,4,6,5,3,2,9,1]=>[7,3,6,5,4,2,1,9,8]
[2,3,4,7,8,9,6,5,1]=>[4,5,9,8,1,2,3,7,6]
[2,3,6,7,8,9,5,4,1]=>[3,4,5,9,8,1,2,7,6]
[2,5,6,7,8,9,4,3,1]=>[2,3,4,5,9,8,1,7,6]
[2,3,4,5,6,1,9,8,7]=>[9,1,2,3,4,5,8,6,7]
[2,3,4,5,1,9,8,7,6]=>[9,8,1,2,3,4,7,5,6]
[2,3,4,1,8,9,7,6,5]=>[5,9,8,1,2,3,7,4,6]
[2,3,1,7,8,9,6,5,4]=>[4,5,9,8,1,2,7,3,6]
[2,1,6,7,8,9,5,4,3]=>[3,4,5,9,8,1,7,2,6]
[8,9,7,6,5,4,3,1,2]=>[8,1,9,7,6,5,4,3,2]
[8,6,7,5,4,3,2,1,9]=>[2,8,7,6,5,4,3,1,9]
[8,7,9,6,5,4,3,1,2]=>[8,2,1,9,7,6,5,4,3]
[9,7,8,6,5,4,3,1,2]=>[8,2,9,7,6,5,4,3,1]
[8,7,5,4,3,6,9,2,1]=>[5,4,3,6,2,1,9,8,7]
[8,7,6,9,5,3,4,2,1]=>[6,3,2,1,9,8,7,5,4]
[8,7,9,6,5,4,2,3,1]=>[7,2,1,9,8,6,5,4,3]
[3,2,1,5,6,7,8,9,4]=>[2,1,4,5,6,7,9,3,8]
[3,2,6,1,4,7,8,9,5]=>[1,6,7,2,3,9,4,5,8]
[4,3,2,1,6,7,8,9,5]=>[3,2,1,5,6,7,9,4,8]
[3,2,7,8,1,4,5,9,6]=>[9,1,5,6,2,3,7,4,8]
[4,7,2,5,1,3,8,9,6]=>[1,7,3,4,9,5,2,6,8]
[4,3,2,7,1,5,8,9,6]=>[2,1,7,9,3,5,4,6,8]
[5,4,3,2,1,7,8,9,6]=>[4,3,2,1,6,7,9,5,8]
[4,3,2,8,9,1,5,6,7]=>[2,1,6,7,8,3,4,9,5]
[8,5,6,3,4,1,2,9,7]=>[4,2,9,6,5,3,7,1,8]
[5,3,8,2,6,1,4,9,7]=>[9,2,1,4,6,5,7,3,8]
[5,4,3,2,8,1,6,9,7]=>[3,2,1,9,4,6,7,5,8]
[6,5,4,3,2,1,8,9,7]=>[5,4,3,2,1,7,9,6,8]
[6,9,4,7,2,5,1,3,8]=>[5,3,1,7,8,6,4,9,2]
[6,4,3,9,2,7,1,5,8]=>[3,2,5,1,7,8,6,9,4]
[6,5,4,3,2,9,1,7,8]=>[5,4,3,2,1,7,8,9,6]
[7,6,9,5,4,3,2,1,8]=>[2,1,8,7,6,5,4,9,3]
[2,3,4,9,6,7,8,5,1]=>[5,6,9,8,1,2,3,7,4]
[2,3,9,5,6,7,8,4,1]=>[4,5,6,9,8,1,2,7,3]
[2,9,4,5,6,7,8,3,1]=>[3,4,5,6,9,8,1,7,2]
[9,3,4,5,6,7,8,2,1]=>[2,3,4,5,6,9,8,7,1]
[2,3,4,1,9,7,8,6,5]=>[6,9,8,1,2,3,7,4,5]
[2,3,1,9,6,7,8,5,4]=>[5,6,9,8,1,2,7,3,4]
[2,1,9,5,6,7,8,4,3]=>[4,5,6,9,8,1,7,2,3]
[1,9,4,5,6,7,8,3,2]=>[3,4,5,6,9,8,7,1,2]
[5,6,4,7,3,9,1,8,2]=>[1,3,2,5,4,9,7,8,6]
[5,6,4,9,1,8,2,7,3]=>[1,3,2,9,7,8,5,6,4]
[5,9,1,8,2,7,3,6,4]=>[1,9,7,8,5,6,3,4,2]
[9,1,8,2,7,3,6,4,5]=>[8,9,6,7,4,5,2,3,1]
[5,4,9,1,8,2,7,3,6]=>[2,1,8,9,6,7,4,5,3]
[5,4,6,3,9,1,8,2,7]=>[2,1,4,3,8,9,6,7,5]
[5,4,6,3,7,2,9,1,8]=>[2,1,4,3,6,5,8,9,7]
[5,6,4,8,2,9,1,7,3]=>[1,3,2,9,5,7,4,8,6]
[5,7,3,9,1,8,2,6,4]=>[1,9,3,7,2,8,5,6,4]
[6,4,9,1,8,2,7,3,5]=>[2,8,1,9,6,7,4,5,3]
[4,5,9,1,8,2,7,3,6]=>[1,2,8,9,6,7,4,5,3]
[6,4,5,3,9,1,8,2,7]=>[2,4,3,1,8,9,6,7,5]
[5,4,7,3,6,2,9,1,8]=>[2,1,4,6,5,3,8,9,7]
[5,4,3,2,1,8,9,7,6]=>[3,2,1,6,9,4,8,5,7]
[4,3,2,1,8,9,7,6,5]=>[1,5,9,2,8,3,7,4,6]
[3,2,1,8,9,7,6,5,4]=>[4,9,8,1,7,2,6,3,5]
[2,1,8,9,7,6,5,4,3]=>[3,9,8,7,6,1,5,2,4]
[9,8,3,4,5,6,7,1,2]=>[3,4,5,8,6,9,7,2,1]
[9,8,2,3,4,5,6,1,7]=>[3,4,5,6,8,7,9,2,1]
[9,4,5,6,7,8,2,1,3]=>[2,3,4,8,7,5,9,6,1]
[9,3,4,5,6,7,2,1,8]=>[2,3,4,5,8,7,6,9,1]
[7,2,9,8,3,4,5,6,1]=>[5,6,7,1,9,8,2,4,3]
[9,8,2,3,4,5,1,6,7]=>[3,4,5,7,6,8,9,2,1]
[9,5,6,7,8,2,1,3,4]=>[2,7,6,3,8,4,9,5,1]
[8,3,9,4,5,6,7,2,1]=>[4,5,6,9,2,1,8,7,3]
[9,3,4,5,6,2,1,7,8]=>[2,3,4,7,6,5,8,9,1]
[1,6,2,7,3,8,4,9,5]=>[9,7,5,3,1,2,4,6,8]
[6,7,1,9,2,3,4,5,8]=>[5,6,7,1,8,2,9,3,4]
[6,1,8,9,2,3,4,5,7]=>[5,6,7,1,8,3,9,2,4]
[3,4,5,6,2,1,7,8,9]=>[1,2,3,6,5,4,7,8,9]
[3,4,5,2,1,6,7,8,9]=>[1,2,5,4,3,6,7,8,9]
[3,4,5,8,9,1,2,6,7]=>[1,2,3,6,7,8,4,9,5]
[3,4,7,8,9,1,2,5,6]=>[6,7,1,2,3,8,4,9,5]
[3,6,7,8,9,1,2,4,5]=>[6,2,7,1,3,8,4,9,5]
[3,4,5,6,1,7,2,8,9]=>[1,2,3,7,5,4,6,8,9]
[3,4,5,1,6,2,7,8,9]=>[1,2,6,4,3,5,7,8,9]
[3,4,1,5,9,2,6,7,8]=>[1,4,2,6,7,8,9,3,5]
[1,3,7,8,9,2,4,5,6]=>[6,7,3,8,2,4,9,1,5]
[2,6,7,8,9,1,3,4,5]=>[6,2,7,3,8,1,4,9,5]
[4,3,5,2,6,1,7,8,9]=>[2,1,4,3,6,5,7,8,9]
[4,5,3,6,2,7,1,8,9]=>[1,3,2,5,4,7,6,8,9]
[1,3,5,7,2,8,4,9,6]=>[9,3,7,2,5,1,4,6,8]
[1,3,5,6,2,7,4,9,8]=>[3,6,2,4,9,1,5,7,8]
[1,3,4,5,2,7,6,9,8]=>[2,3,4,6,9,1,5,7,8]
[3,5,7,1,2,4,6,9,8]=>[9,1,4,2,5,6,3,7,8]
[3,5,7,8,1,9,2,4,6]=>[2,7,8,1,3,9,5,4,6]
[3,5,6,7,1,8,2,9,4]=>[2,3,9,1,7,5,4,6,8]
[7,1,2,3,4,9,6,8,5]=>[7,9,8,2,3,4,1,5,6]
[7,1,2,3,4,8,6,9,5]=>[7,6,9,2,3,4,1,5,8]
[8,1,2,3,9,5,6,7,4]=>[6,7,9,8,2,3,4,1,5]
[7,1,2,3,9,5,6,8,4]=>[6,7,9,8,2,3,1,4,5]
[7,1,2,3,8,5,6,9,4]=>[6,7,5,9,2,3,1,4,8]
[6,1,2,3,8,5,9,7,4]=>[9,6,5,8,2,1,3,4,7]
[6,1,2,3,7,5,8,9,4]=>[6,5,7,9,2,1,3,4,8]
[6,1,2,8,4,5,9,7,3]=>[9,5,6,4,1,8,2,3,7]
[6,1,2,7,4,5,8,9,3]=>[5,6,4,7,1,9,2,3,8]
[5,1,2,7,4,9,6,8,3]=>[7,4,1,9,5,8,2,3,6]
[5,1,2,7,4,8,6,9,3]=>[7,5,4,1,6,9,2,3,8]
[5,1,2,6,4,7,8,9,3]=>[5,4,6,1,7,9,2,3,8]
[4,1,6,3,8,5,9,7,2]=>[1,3,9,6,4,5,8,2,7]
[4,1,6,3,7,5,8,9,2]=>[1,6,4,3,5,7,9,2,8]
[4,1,5,3,6,7,8,9,2]=>[4,3,1,5,6,7,9,2,8]
[1,9,8,7,6,4,3,2,5]=>[8,7,6,9,5,4,3,1,2]
[1,9,8,7,5,4,3,2,6]=>[8,7,6,5,9,4,3,1,2]
[1,9,8,6,5,4,3,2,7]=>[8,7,6,5,4,9,3,1,2]
[1,9,7,6,5,4,3,2,8]=>[8,7,6,5,4,3,9,1,2]
[1,9,8,7,6,5,2,3,4]=>[7,8,9,6,5,4,3,1,2]
[1,9,8,7,6,3,4,2,5]=>[6,8,7,9,5,4,3,1,2]
[1,9,8,7,4,5,3,2,6]=>[5,8,7,6,9,4,3,1,2]
[1,9,8,5,6,4,3,2,7]=>[4,8,7,6,5,9,3,1,2]
[1,9,6,7,5,4,3,2,8]=>[3,8,7,6,5,4,9,1,2]
[1,7,8,6,5,4,3,2,9]=>[2,8,7,6,5,4,1,3,9]
[8,9,2,3,4,5,6,1,7]=>[3,4,5,6,8,7,1,9,2]
[7,8,9,2,3,4,5,1,6]=>[4,5,6,1,8,7,2,9,3]
[6,7,8,9,2,3,4,1,5]=>[5,1,6,2,8,7,3,9,4]
[5,6,7,8,9,2,3,1,4]=>[1,2,6,3,8,7,4,9,5]
[7,8,9,2,3,4,1,5,6]=>[4,5,7,6,1,8,2,9,3]
[6,7,8,9,2,3,1,4,5]=>[5,1,7,6,2,8,3,9,4]
[4,5,6,7,8,1,9,2,3]=>[1,2,3,8,4,9,6,5,7]
[7,9,3,4,5,6,2,1,8]=>[3,4,5,1,8,7,6,9,2]
[3,9,2,1,5,6,7,8,4]=>[1,3,5,6,7,9,4,8,2]
[3,8,1,4,5,6,7,2,9]=>[1,4,5,6,8,3,7,2,9]
[6,9,3,4,5,2,7,1,8]=>[3,4,1,6,5,8,7,9,2]
[3,9,2,4,1,6,7,8,5]=>[1,3,4,6,7,9,5,8,2]
[3,8,9,1,5,6,7,4,2]=>[5,6,9,8,1,4,2,7,3]
[3,7,1,4,5,6,2,8,9]=>[1,4,5,7,3,6,2,8,9]
[2,8,7,6,5,4,3,1,9]=>[8,7,6,5,4,1,3,2,9]
[2,1,4,9,8,7,6,5,3]=>[9,8,7,6,1,3,5,2,4]
[3,7,6,5,4,2,1,9,8]=>[6,5,4,1,3,2,9,7,8]
[3,2,1,6,9,8,7,5,4]=>[9,8,1,4,7,2,6,3,5]
[4,6,5,3,2,1,9,8,7]=>[4,1,3,2,9,5,8,6,7]
[2,9,8,7,6,1,5,4,3]=>[9,8,6,7,5,4,1,3,2]
[4,9,8,7,6,5,2,1,3]=>[8,7,9,6,1,5,4,3,2]
[5,9,8,7,6,2,1,4,3]=>[6,9,1,7,8,5,4,3,2]
[6,9,8,7,2,1,5,4,3]=>[1,9,5,8,6,7,4,3,2]
[7,9,8,2,1,6,5,4,3]=>[9,8,4,1,7,5,6,3,2]
[8,9,2,1,7,6,5,4,3]=>[9,8,7,3,6,4,1,5,2]
[7,8,1,9,2,3,4,5,6]=>[5,6,7,8,1,9,3,2,4]
[6,7,8,1,9,2,3,4,5]=>[6,7,1,8,2,9,4,3,5]
[5,6,7,8,1,9,2,3,4]=>[1,7,2,8,3,9,5,4,6]
[9,1,2,3,4,5,7,6,8]=>[8,2,3,4,5,6,7,9,1]
[2,1,3,4,5,9,6,7,8]=>[1,7,8,9,2,3,4,5,6]
[7,2,6,5,4,3,1,9,8]=>[6,5,4,2,3,1,9,7,8]
[3,2,1,9,5,8,7,6,4]=>[9,8,1,5,7,2,6,3,4]
[6,3,5,4,2,1,9,8,7]=>[4,2,3,1,9,5,8,6,7]
[4,3,2,1,9,7,8,6,5]=>[1,6,9,2,8,3,7,4,5]
[9,1,2,3,4,8,6,5,7]=>[8,7,9,2,3,4,5,6,1]
[9,1,2,3,8,5,6,4,7]=>[6,8,7,9,2,3,4,5,1]
[8,1,2,9,4,5,6,3,7]=>[5,6,8,7,9,2,3,1,4]
[9,1,8,3,4,5,6,2,7]=>[4,5,6,8,7,9,2,3,1]
[7,1,2,3,4,9,5,8,6]=>[9,7,8,2,3,4,1,5,6]
[6,1,2,3,8,4,5,9,7]=>[9,6,7,2,3,1,4,5,8]
[5,1,2,8,3,4,6,9,7]=>[9,5,6,1,7,2,3,4,8]
[4,1,9,2,3,5,6,8,7]=>[9,4,1,5,6,7,8,2,3]
[3,8,1,2,4,5,6,9,7]=>[1,9,3,4,5,6,7,2,8]
[8,2,1,3,4,5,6,9,7]=>[2,9,3,4,5,6,7,1,8]
[9,1,2,3,8,5,4,7,6]=>[6,9,7,8,2,3,4,5,1]
[6,1,2,3,9,4,7,8,5]=>[7,9,6,8,2,1,3,4,5]
[5,1,2,8,3,6,4,9,7]=>[6,9,5,1,7,2,3,4,8]
[9,8,2,1,4,5,6,7,3]=>[3,5,6,7,9,4,8,2,1]
[4,1,8,2,5,3,6,9,7]=>[5,1,9,4,6,7,2,3,8]
[3,9,1,4,2,5,6,8,7]=>[1,4,9,3,5,6,7,8,2]
[8,2,3,1,4,5,6,9,7]=>[2,3,9,4,5,6,7,1,8]
[2,3,4,5,7,8,1,9,6]=>[5,9,1,2,3,4,7,6,8]
[1,3,4,5,2,6,7,8,9]=>[2,3,5,1,4,6,7,8,9]
[2,3,4,5,7,9,1,6,8]=>[7,1,2,3,4,5,8,9,6]
[2,3,4,5,1,6,7,9,8]=>[1,2,3,4,9,5,6,7,8]
[4,5,6,1,7,8,9,2,3]=>[1,2,5,3,8,6,9,4,7]
[2,1,4,5,3,6,7,8,9]=>[1,3,5,2,4,6,7,8,9]
[1,3,2,5,4,6,7,8,9]=>[2,5,1,3,4,6,7,8,9]
[2,3,4,5,9,8,6,7,1]=>[7,9,8,1,2,3,4,6,5]
[2,3,4,9,7,5,8,6,1]=>[9,6,5,8,1,2,3,7,4]
[2,3,9,6,4,7,8,5,1]=>[6,4,9,5,8,1,2,7,3]
[2,9,5,3,6,7,8,4,1]=>[5,3,6,9,4,8,1,7,2]
[9,4,2,5,6,7,8,3,1]=>[4,2,5,6,9,3,8,7,1]
[4,1,6,2,8,3,5,7,9]=>[6,1,7,3,8,2,4,5,9]
[4,1,6,2,8,3,9,5,7]=>[1,8,3,9,6,2,4,5,7]
[4,1,6,2,7,3,8,5,9]=>[1,8,6,4,2,3,5,7,9]
[8,7,9,1,4,5,6,2,3]=>[5,8,6,9,4,2,1,7,3]
[7,6,9,1,4,5,2,8,3]=>[5,9,7,4,2,1,6,8,3]
[3,9,2,4,5,6,7,8,1]=>[1,3,4,5,6,7,9,8,2]
[1,3,5,2,4,6,7,8,9]=>[2,4,5,1,3,6,7,8,9]
[4,1,2,3,5,6,8,7,9]=>[8,2,3,1,4,5,6,7,9]
[1,2,4,7,3,5,6,8,9]=>[3,5,6,7,1,2,4,8,9]
[5,1,2,3,4,7,6,8,9]=>[7,2,3,4,1,5,6,8,9]
[5,6,4,3,2,1,7,8,9]=>[1,6,5,4,3,2,7,8,9]
[4,5,3,2,1,6,7,8,9]=>[1,5,4,3,2,6,7,8,9]
[6,7,4,3,2,1,5,8,9]=>[6,5,4,3,1,7,2,8,9]
[5,6,4,3,2,7,1,8,9]=>[1,5,4,3,2,7,6,8,9]
[7,5,4,3,1,2,6,8,9]=>[5,6,4,3,2,7,1,8,9]
[6,5,4,3,7,1,2,8,9]=>[6,4,3,2,1,7,5,8,9]
[6,7,9,8,5,4,3,2,1]=>[9,1,2,8,7,6,5,4,3]
[7,6,8,9,5,4,3,2,1]=>[2,1,3,9,8,7,6,5,4]
[6,7,5,9,8,4,3,2,1]=>[1,2,9,3,8,7,6,5,4]
[5,7,9,8,6,4,3,2,1]=>[9,2,8,1,7,6,5,4,3]
[7,6,8,5,9,4,3,2,1]=>[2,1,4,3,9,8,7,6,5]
[6,5,8,9,7,4,3,2,1]=>[1,3,9,2,8,7,6,5,4]
[7,6,4,3,5,2,1,9,8]=>[4,3,6,5,2,1,9,7,8]
[7,6,3,5,4,2,1,9,8]=>[6,3,5,4,2,1,9,7,8]
[9,8,6,1,2,3,4,5,7]=>[4,5,6,7,8,3,9,2,1]
[9,8,7,5,1,2,3,4,6]=>[5,6,7,8,4,9,3,2,1]
[9,8,7,6,4,1,2,3,5]=>[6,7,8,5,9,4,3,2,1]
[9,8,7,6,5,3,1,2,4]=>[7,8,6,9,5,4,3,2,1]
[9,8,4,7,6,5,3,2,1]=>[9,8,3,7,6,5,4,2,1]
[9,8,3,7,6,5,4,2,1]=>[9,8,7,3,6,5,4,2,1]
[9,3,8,7,6,5,4,2,1]=>[9,8,7,6,2,5,4,3,1]
[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,2,4,3,1]
[9,8,4,6,5,7,3,2,1]=>[5,3,4,9,8,7,6,2,1]
[9,8,3,6,5,4,7,2,1]=>[6,5,3,4,9,8,7,2,1]
[9,3,7,6,5,4,8,2,1]=>[6,5,4,2,3,9,8,7,1]
[9,2,7,6,5,4,3,8,1]=>[7,6,5,4,2,3,9,8,1]
[4,2,1,3,6,5,8,7,9]=>[2,5,1,8,3,4,6,7,9]
[6,2,1,4,3,5,8,7,9]=>[2,4,8,3,5,1,6,7,9]
[9,2,3,4,1,5,6,7,8]=>[2,3,5,4,6,7,8,9,1]
[9,8,4,5,7,6,3,2,1]=>[9,3,4,8,7,6,5,2,1]
[9,8,5,4,6,7,3,2,1]=>[4,3,5,9,8,7,6,2,1]
[9,8,4,5,3,7,6,2,1]=>[3,4,9,5,8,7,6,2,1]
[9,8,3,5,7,6,4,2,1]=>[9,4,8,3,7,6,5,2,1]
[9,8,5,4,6,3,7,2,1]=>[4,3,6,5,9,8,7,2,1]
[9,8,4,3,6,7,5,2,1]=>[3,5,9,4,8,7,6,2,1]
[9,8,7,4,3,2,1,5,6]=>[7,6,5,4,8,9,3,2,1]
[9,8,7,6,3,2,1,4,5]=>[7,6,5,8,9,4,3,2,1]
[7,8,9,1,3,4,5,6,2]=>[5,6,7,1,9,4,2,8,3]
[6,1,2,9,3,4,5,7,8]=>[5,6,7,8,1,9,2,3,4]
[4,1,2,3,5,9,6,7,8]=>[7,8,1,9,2,3,4,5,6]
[3,1,2,4,5,6,9,7,8]=>[8,1,9,2,3,4,5,6,7]
[1,3,4,2,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]
[1,2,4,5,6,3,7,8,9]=>[3,4,6,1,2,5,7,8,9]
[1,2,3,5,6,7,8,4,9]=>[4,5,6,8,1,2,3,7,9]
[2,1,5,3,6,7,4,8,9]=>[5,1,3,7,2,4,6,8,9]
[1,3,5,6,4,2,7,8,9]=>[3,6,2,5,1,4,7,8,9]
[3,5,2,1,6,4,7,8,9]=>[1,3,6,4,2,5,7,8,9]
[2,1,3,6,4,7,8,9,5]=>[6,1,4,7,9,2,3,5,8]
[1,3,4,6,7,2,8,5,9]=>[4,8,2,3,6,1,5,7,9]
[3,2,6,1,4,7,8,5,9]=>[1,6,8,2,4,3,5,7,9]
[2,4,6,1,7,5,3,8,9]=>[7,2,6,1,4,3,5,8,9]
[4,6,3,2,1,7,5,8,9]=>[1,4,3,7,5,2,6,8,9]
[2,4,1,7,5,8,3,9,6]=>[9,2,5,1,4,7,3,6,8]
[4,3,7,2,1,5,8,9,6]=>[2,1,4,7,9,5,3,6,8]
[1,3,5,7,8,6,4,2,9]=>[4,8,3,7,2,6,1,5,9]
[3,5,7,2,1,8,6,4,9]=>[2,8,1,4,7,5,3,6,9]
[5,7,4,3,2,1,8,6,9]=>[1,5,4,3,8,6,2,7,9]
[2,4,6,8,1,9,7,5,3]=>[9,3,8,2,7,1,5,4,6]
[4,6,8,3,2,1,9,7,5]=>[4,1,2,9,5,8,6,3,7]
[6,8,5,4,3,2,1,9,7]=>[1,6,5,4,3,9,7,2,8]
[4,5,6,3,7,2,8,1,9]=>[1,2,4,3,6,5,8,7,9]
[1,5,6,7,4,8,3,9,2]=>[2,3,5,4,7,6,9,1,8]
[3,5,6,7,8,9,2,4,1]=>[2,3,4,7,1,5,9,8,6]
[2,4,6,7,8,9,1,3,5]=>[3,7,2,4,8,1,5,9,6]
[2,5,6,7,8,9,3,1,4]=>[2,3,4,8,7,1,5,9,6]
[5,4,6,3,8,1,7,2,9]=>[2,1,4,3,8,6,7,5,9]
[1,6,5,7,4,9,2,8,3]=>[3,2,5,4,9,7,8,1,6]
[5,4,8,1,7,2,6,3,9]=>[2,1,8,6,7,4,5,3,9]
[5,4,8,1,6,3,7,2,9]=>[2,1,6,5,8,4,7,3,9]
[1,6,5,9,2,8,3,7,4]=>[3,2,9,7,8,5,6,1,4]
[1,6,5,9,2,7,4,8,3]=>[3,2,7,6,9,5,8,1,4]
[2,5,6,7,8,1,9,3,4]=>[2,3,8,4,9,1,6,5,7]
[4,5,6,7,1,2,8,3,9]=>[1,2,8,5,3,6,4,7,9]
[1,3,6,7,8,9,2,4,5]=>[3,7,4,8,2,5,9,1,6]
[3,5,6,7,8,1,2,9,4]=>[2,3,9,1,6,4,7,5,8]
[2,3,4,5,7,6,8,9,1]=>[6,1,2,3,4,5,7,9,8]
[2,3,4,5,7,8,6,9,1]=>[5,7,1,2,3,4,6,9,8]
[2,3,4,5,8,7,6,9,1]=>[7,6,1,2,3,4,5,9,8]
[2,3,4,5,7,9,8,6,1]=>[9,5,8,1,2,3,4,7,6]
[4,5,6,3,7,8,9,2,1]=>[1,2,4,3,5,6,9,8,7]
[1,2,3,4,7,9,5,6,8]=>[7,5,8,9,1,2,3,4,6]
[1,2,3,4,6,7,9,5,8]=>[5,6,8,9,1,2,3,4,7]
[1,2,3,4,8,5,6,9,7]=>[9,6,7,1,2,3,4,5,8]
[1,2,3,4,7,8,5,9,6]=>[5,9,7,1,2,3,4,6,8]
[8,7,9,6,5,4,2,1,3]=>[8,7,2,1,9,6,5,4,3]
[8,9,7,6,5,4,2,1,3]=>[8,7,1,9,6,5,4,3,2]
[8,9,7,6,5,4,2,3,1]=>[7,1,9,8,6,5,4,3,2]
[2,3,4,5,8,6,7,9,1]=>[6,7,1,2,3,4,5,9,8]
[2,3,4,5,9,6,8,7,1]=>[9,6,8,1,2,3,4,7,5]
[9,3,4,5,2,6,7,8,1]=>[2,3,5,4,6,7,9,8,1]
[7,8,2,3,4,5,1,6,9]=>[3,4,5,7,6,1,8,2,9]
[1,8,9,3,4,5,6,2,7]=>[4,5,6,8,7,2,9,1,3]
[2,1,3,4,5,8,6,7,9]=>[1,7,8,2,3,4,5,6,9]
[9,2,3,4,5,1,6,7,8]=>[2,3,4,6,5,7,8,9,1]
[7,2,3,4,5,6,9,1,8]=>[2,3,4,5,6,1,8,9,7]
[6,2,3,4,5,9,1,7,8]=>[2,3,4,5,1,7,8,9,6]
[5,2,3,4,9,1,6,7,8]=>[2,3,4,1,6,7,8,9,5]
[4,2,3,9,1,5,6,7,8]=>[2,3,1,5,6,7,8,9,4]
[3,2,9,1,4,5,6,7,8]=>[2,1,4,5,6,7,8,9,3]
[4,5,6,7,8,1,3,9,2]=>[1,2,3,7,4,9,6,5,8]
[2,1,9,8,7,6,5,3,4]=>[8,9,7,6,5,1,4,2,3]
[2,1,9,8,7,6,4,3,5]=>[8,7,9,6,5,1,4,2,3]
[2,1,9,8,7,6,3,5,4]=>[9,7,8,6,5,1,4,2,3]
[4,5,3,6,7,8,9,1,2]=>[1,3,2,4,5,8,6,9,7]
[5,3,4,6,7,8,9,1,2]=>[2,3,1,4,5,8,6,9,7]
[9,5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,9,1]
[1,2,3,7,4,8,5,9,6]=>[9,7,5,1,2,3,4,6,8]
[1,2,3,4,7,5,9,8,6]=>[5,9,8,1,2,3,4,6,7]
[1,2,6,3,7,4,9,8,5]=>[5,3,9,8,1,2,4,6,7]
[1,2,3,8,6,4,9,7,5]=>[5,9,8,6,1,2,3,4,7]
[1,2,3,6,4,9,8,7,5]=>[9,4,8,7,1,2,3,5,6]
[5,1,6,2,7,3,9,8,4]=>[5,3,1,9,8,2,4,6,7]
[1,5,2,8,6,3,9,7,4]=>[2,5,9,8,6,1,3,4,7]
[1,5,2,6,3,9,8,7,4]=>[2,9,4,8,7,1,3,5,6]
[1,2,7,5,3,9,8,6,4]=>[9,4,3,8,7,1,2,5,6]
[1,2,5,3,9,8,7,6,4]=>[9,8,3,7,6,1,2,4,5]
[4,1,7,5,2,9,8,6,3]=>[9,1,4,3,8,7,2,5,6]
[4,1,5,2,9,8,7,6,3]=>[9,1,8,3,7,6,2,4,5]
[1,6,4,2,9,8,7,5,3]=>[2,9,8,3,7,6,1,4,5]
[1,4,2,9,8,7,6,5,3]=>[9,8,7,2,6,5,1,3,4]
[7,5,3,1,9,8,6,4,2]=>[2,9,8,3,1,7,6,4,5]
[5,3,1,9,8,7,6,4,2]=>[9,1,8,7,2,6,5,3,4]
[1,3,2,5,4,7,9,6,8]=>[2,4,6,8,9,1,3,5,7]
[1,3,2,5,7,4,9,6,8]=>[8,2,4,5,9,1,3,6,7]
[1,3,2,5,7,9,4,6,8]=>[7,2,4,5,8,9,1,3,6]
[1,3,5,7,2,4,9,6,8]=>[3,8,9,2,5,1,4,6,7]
[3,5,1,2,7,4,9,6,8]=>[8,1,5,2,9,3,4,6,7]
[1,2,5,3,7,4,9,6,8]=>[3,8,5,9,1,2,4,6,7]
[3,1,4,2,7,5,9,6,8]=>[1,8,3,5,9,2,4,6,7]
[2,1,5,3,6,4,9,7,8]=>[5,1,3,8,9,2,4,6,7]
[2,1,4,3,7,5,8,6,9]=>[8,1,3,6,2,4,5,7,9]
[2,3,4,5,8,7,6,1,9]=>[8,7,1,2,3,4,6,5,9]
[1,3,4,5,6,9,8,7,2]=>[9,8,2,3,4,5,7,1,6]
[1,2,3,4,5,8,9,7,6]=>[6,9,8,1,2,3,4,5,7]
[1,2,3,4,8,9,6,7,5]=>[7,5,9,8,1,2,3,4,6]
[1,2,3,8,9,5,6,7,4]=>[6,7,4,9,8,1,2,3,5]
[1,2,8,9,4,5,6,7,3]=>[5,6,7,3,9,8,1,2,4]
[9,4,2,3,5,6,7,8,1]=>[3,4,2,5,6,7,9,8,1]
[1,4,2,5,6,7,9,8,3]=>[2,9,4,5,6,8,1,3,7]
[2,1,4,5,6,9,7,3,8]=>[8,1,3,4,5,7,9,2,6]
[3,1,5,2,9,6,7,8,4]=>[1,3,6,7,9,8,2,4,5]
[4,5,1,6,8,7,9,2,3]=>[1,2,8,4,6,5,9,3,7]
[2,3,1,5,9,6,7,4,8]=>[6,8,1,2,4,7,9,3,5]
[1,2,4,5,7,9,6,3,8]=>[5,8,3,4,7,9,1,2,6]
[3,4,6,5,7,1,2,9,8]=>[4,1,2,3,9,6,5,7,8]
[3,1,9,4,2,6,7,8,5]=>[1,4,6,7,9,5,8,2,3]
[1,2,5,3,9,6,8,7,4]=>[9,3,6,8,7,1,2,4,5]
[4,5,1,7,6,8,2,9,3]=>[1,2,5,4,9,7,3,6,8]
[4,8,7,6,5,3,2,1,9]=>[8,7,6,1,5,4,3,2,9]
[5,8,7,4,6,3,2,1,9]=>[4,8,1,7,6,5,3,2,9]
[8,4,7,6,5,3,2,1,9]=>[8,7,2,6,5,4,3,1,9]
[6,9,8,5,7,4,1,3,2]=>[9,1,7,4,8,6,5,3,2]
[9,8,7,5,1,6,4,3,2]=>[9,8,7,5,4,6,3,2,1]
[1,2,8,3,4,5,6,9,7]=>[9,4,5,6,7,1,2,3,8]
[1,9,5,2,3,8,4,6,7]=>[7,8,3,9,4,5,6,1,2]
[1,8,2,9,4,3,5,6,7]=>[6,5,7,8,9,3,1,2,4]
[1,3,2,4,9,8,5,6,7]=>[7,8,9,2,6,1,3,4,5]
[2,1,3,4,5,9,8,6,7]=>[8,9,1,7,2,3,4,5,6]
[9,1,7,2,3,4,5,8,6]=>[9,4,5,6,7,2,3,8,1]
[1,8,5,2,3,4,6,9,7]=>[9,4,5,3,6,7,1,2,8]
[9,8,1,2,3,5,6,4,7]=>[6,8,3,4,5,7,9,2,1]
[1,4,2,3,9,5,6,8,7]=>[2,9,6,7,8,1,3,4,5]
[4,9,8,1,2,5,3,6,7]=>[1,7,4,5,6,8,9,3,2]
[1,3,2,4,5,9,6,8,7]=>[9,2,7,8,1,3,4,5,6]
[1,8,3,9,4,2,5,6,7]=>[6,3,5,7,8,2,9,1,4]
[2,3,1,4,9,8,5,6,7]=>[7,8,9,1,2,6,3,4,5]
[8,7,6,5,4,1,9,3,2]=>[9,8,6,5,4,3,2,1,7]
[8,7,6,5,2,9,1,3,4]=>[5,7,8,4,3,2,1,9,6]
[8,7,6,3,9,2,1,4,5]=>[4,7,6,8,3,2,1,9,5]
[8,7,4,9,3,2,1,6,5]=>[3,6,5,9,7,2,1,8,4]
[8,5,9,4,3,2,1,6,7]=>[2,7,6,5,4,8,1,9,3]
[6,9,5,4,3,2,1,7,8]=>[1,7,6,5,4,3,8,9,2]
[8,7,6,5,2,1,4,3,9]=>[5,8,6,7,4,3,2,1,9]
[8,7,6,3,2,5,1,4,9]=>[5,4,7,8,6,3,2,1,9]
[8,7,6,5,1,9,4,3,2]=>[9,8,7,5,4,3,2,1,6]
[8,7,4,3,6,2,1,9,5]=>[4,3,6,9,7,5,2,1,8]
[8,7,6,2,9,5,1,3,4]=>[7,8,9,4,3,2,1,6,5]
[8,5,4,7,3,2,1,6,9]=>[3,2,7,6,5,8,4,1,9]
[8,7,3,9,6,2,1,4,5]=>[7,3,6,8,2,1,9,5,4]
[6,5,8,4,3,2,1,7,9]=>[2,1,7,6,5,4,8,3,9]
[8,4,9,7,3,2,1,6,5]=>[6,2,5,9,7,1,8,4,3]
[5,9,8,4,3,2,1,6,7]=>[7,1,6,5,4,8,9,3,2]
[8,7,5,6,4,3,2,1,9]=>[3,8,7,6,5,4,2,1,9]
[8,6,5,7,4,3,2,1,9]=>[3,2,8,7,6,5,4,1,9]
[9,8,7,6,4,3,2,5,1]=>[7,6,5,9,8,4,3,2,1]
[9,8,7,6,4,3,5,2,1]=>[6,5,9,8,7,4,3,2,1]
[8,5,6,7,4,3,2,1,9]=>[2,3,8,7,6,5,4,1,9]
[6,7,5,8,4,3,2,1,9]=>[1,3,2,8,7,6,5,4,9]
[8,9,7,6,4,3,2,1,5]=>[8,7,6,5,1,9,4,3,2]
[7,6,5,3,2,1,4,8,9]=>[6,5,4,7,3,2,1,8,9]
[9,8,7,6,4,3,5,1,2]=>[8,6,5,9,7,4,3,2,1]
[9,8,7,6,4,5,2,3,1]=>[7,5,9,8,6,4,3,2,1]
[9,8,7,6,5,3,4,2,1]=>[6,9,8,7,5,4,3,2,1]
[8,7,6,5,4,2,3,1,9]=>[6,8,7,5,4,3,2,1,9]
[2,9,8,6,5,7,4,3,1]=>[5,4,9,8,7,6,1,3,2]
[7,1,8,2,3,4,5,9,6]=>[9,4,5,6,7,2,1,3,8]
[6,8,1,2,3,4,5,9,7]=>[9,3,4,5,1,6,7,2,8]
[9,6,7,4,5,2,3,1,8]=>[6,4,2,8,7,5,3,9,1]
[8,9,6,7,4,5,2,1,3]=>[8,7,5,3,1,9,6,4,2]
[9,8,6,5,4,3,7,2,1]=>[6,5,4,3,9,8,7,2,1]
[2,3,6,4,5,1,7,8,9]=>[4,6,1,2,5,3,7,8,9]
[2,3,4,8,5,6,7,1,9]=>[5,6,8,1,2,3,7,4,9]
[3,5,4,7,2,6,1,8,9]=>[3,1,2,5,7,6,4,8,9]
[2,6,4,1,5,3,7,8,9]=>[6,4,1,3,5,2,7,8,9]
[4,5,2,6,3,1,7,8,9]=>[1,6,3,2,5,4,7,8,9]
[3,6,4,5,9,2,7,8,1]=>[3,4,1,2,6,7,9,8,5]
[2,5,4,7,8,6,3,1,9]=>[2,4,8,3,7,1,6,5,9]
[4,6,2,5,8,3,7,1,9]=>[1,4,6,2,8,3,7,5,9]
[3,5,7,6,1,4,2,8,9]=>[2,7,1,5,6,4,3,8,9]
[5,6,2,3,7,4,1,8,9]=>[7,3,1,4,2,6,5,8,9]
[5,7,2,3,6,9,4,8,1]=>[5,1,7,9,3,2,4,8,6]
[2,8,4,1,6,3,7,5,9]=>[3,8,6,1,4,5,7,2,9]
[4,6,7,8,3,1,5,2,9]=>[2,8,1,6,5,3,7,4,9]
[6,7,2,3,4,8,5,1,9]=>[8,3,4,1,5,2,7,6,9]
[3,5,9,7,1,8,2,6,4]=>[9,2,7,8,1,5,4,6,3]
[5,7,8,3,9,4,1,6,2]=>[9,1,4,2,7,6,3,8,5]
[7,8,2,3,4,5,9,6,1]=>[9,3,4,5,1,6,2,8,7]
[5,1,2,4,3,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]
[7,1,2,3,4,6,5,8,9]=>[7,2,3,4,5,6,1,8,9]
[9,7,8,5,6,2,4,1,3]=>[6,8,4,2,9,7,5,3,1]
[9,7,8,4,6,2,5,1,3]=>[6,4,8,2,9,7,5,3,1]
[9,6,8,4,7,2,5,1,3]=>[6,4,2,8,9,7,5,3,1]
[8,9,6,4,7,2,5,1,3]=>[6,4,8,3,1,9,7,5,2]
[8,9,6,7,4,2,5,1,3]=>[6,8,5,3,1,9,7,4,2]
[9,7,8,3,6,2,5,1,4]=>[4,6,8,2,9,7,5,3,1]
[9,5,8,4,7,2,6,1,3]=>[2,6,4,8,9,7,5,3,1]
[7,6,9,4,8,2,5,1,3]=>[6,4,2,1,8,9,7,5,3]
[8,6,9,7,4,2,5,1,3]=>[6,2,8,5,1,9,7,4,3]
[8,9,6,4,7,5,2,1,3]=>[4,8,7,3,1,9,6,5,2]
[8,9,6,7,4,2,5,3,1]=>[9,6,5,3,1,8,7,4,2]
[9,7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,9,8,1]
[3,1,4,6,2,5,8,7,9]=>[1,8,3,5,2,4,6,7,9]
[1,3,2,5,7,4,6,9,8]=>[9,2,4,6,1,3,5,7,8]
[1,9,8,5,6,7,4,3,2]=>[4,5,9,8,7,6,3,1,2]
[1,9,8,5,4,6,7,3,2]=>[5,4,6,9,8,7,3,1,2]
[1,9,5,4,6,7,8,3,2]=>[4,3,5,6,9,8,7,1,2]
[1,2,3,4,7,5,6,9,8]=>[9,6,1,2,3,4,5,7,8]
[9,8,7,6,5,3,1,4,2]=>[9,7,6,8,5,4,3,2,1]
[9,8,7,6,4,1,5,3,2]=>[9,8,6,5,7,4,3,2,1]
[9,8,6,1,7,5,4,3,2]=>[9,8,7,6,4,3,5,2,1]
[9,7,1,8,6,5,4,3,2]=>[9,8,7,6,5,3,2,4,1]
[1,2,7,4,5,6,8,9,3]=>[4,5,6,3,7,9,1,2,8]
[1,2,3,4,7,8,5,6,9]=>[7,5,8,1,2,3,4,6,9]
[1,2,3,4,6,5,8,7,9]=>[5,8,1,2,3,4,6,7,9]
[1,2,3,4,8,9,5,6,7]=>[7,8,5,9,1,2,3,4,6]
[2,1,7,8,9,3,4,5,6]=>[6,7,3,8,1,4,9,2,5]
[9,7,5,3,8,6,4,2,1]=>[3,9,8,4,2,7,6,5,1]
[8,6,9,7,4,3,2,1,5]=>[2,8,7,6,5,1,9,4,3]
[8,6,3,2,1,4,9,7,5]=>[3,9,4,8,5,2,6,1,7]
[8,6,4,9,7,5,2,1,3]=>[8,3,2,7,1,9,6,5,4]
[9,7,5,3,8,6,4,1,2]=>[8,3,9,4,2,7,6,5,1]
[9,6,7,8,5,4,3,2,1]=>[2,3,9,8,7,6,5,4,1]
[8,5,6,9,7,4,3,2,1]=>[9,2,3,1,8,7,6,5,4]
[8,6,3,2,1,9,7,4,5]=>[3,8,9,4,2,7,5,1,6]
[9,7,8,4,3,2,1,5,6]=>[7,6,5,4,8,2,9,3,1]
[8,6,3,4,9,7,5,2,1]=>[9,8,3,2,4,1,7,6,5]
[8,6,9,7,3,2,1,4,5]=>[7,6,5,2,8,1,9,4,3]
[9,7,5,2,3,8,6,4,1]=>[9,8,4,3,5,2,7,6,1]
[8,6,2,1,3,4,9,7,5]=>[9,3,8,4,5,2,6,1,7]
[8,6,4,9,7,5,1,2,3]=>[3,7,2,8,1,9,6,5,4]
[2,5,1,6,3,7,4,8,9]=>[7,5,1,3,2,4,6,8,9]
[2,6,1,7,3,8,4,9,5]=>[9,7,5,1,3,2,4,6,8]
[3,4,6,1,7,2,8,5,9]=>[8,1,2,6,4,3,5,7,9]
[3,2,6,1,7,4,8,5,9]=>[8,1,6,2,4,3,5,7,9]
[4,2,5,6,1,7,3,8,9]=>[3,1,7,2,5,4,6,8,9]
[3,4,2,6,1,7,5,8,9]=>[1,2,7,3,5,4,6,8,9]
[4,2,5,7,1,8,3,9,6]=>[1,9,3,7,2,5,4,6,8]
[3,4,2,7,1,8,5,9,6]=>[9,1,2,7,3,5,4,6,8]
[5,3,6,4,7,1,8,2,9]=>[4,2,1,3,8,6,5,7,9]
[3,5,2,6,7,1,8,4,9]=>[4,1,2,8,3,6,5,7,9]
[4,3,5,2,7,1,8,6,9]=>[2,1,3,8,4,6,5,7,9]
[4,6,2,7,5,8,1,9,3]=>[5,1,4,2,9,3,7,6,8]
[4,3,6,2,7,8,1,9,5]=>[1,5,2,3,9,4,7,6,8]
[4,5,3,6,2,8,1,9,7]=>[1,3,2,4,9,5,7,6,8]
[7,6,5,9,4,3,2,1,8]=>[3,2,1,8,7,6,5,9,4]
[7,6,5,4,3,9,2,1,8]=>[5,4,3,2,1,8,7,9,6]
[7,9,8,5,4,3,2,1,6]=>[1,8,7,6,5,4,9,3,2]
[7,6,9,8,4,3,2,1,5]=>[2,1,8,7,6,5,9,4,3]
[7,6,5,9,8,3,2,1,4]=>[3,2,1,8,7,6,9,5,4]
[7,6,5,4,9,8,2,1,3]=>[4,3,2,1,8,7,9,6,5]
[7,6,5,4,3,9,8,1,2]=>[5,4,3,2,1,8,9,7,6]
[9,8,7,6,5,2,3,4,1]=>[6,7,9,8,5,4,3,2,1]
[6,1,7,8,9,2,3,4,5]=>[6,7,3,1,8,4,9,2,5]
[4,5,6,7,1,9,2,3,8]=>[1,2,7,3,8,4,9,5,6]
[3,5,6,7,9,1,2,4,8]=>[2,6,1,3,7,4,8,9,5]
[5,1,6,7,8,2,9,3,4]=>[3,1,8,4,9,6,2,5,7]
[4,1,6,7,8,9,2,3,5]=>[1,3,7,4,8,5,9,2,6]
[2,3,1,5,6,8,9,4,7]=>[8,1,2,4,5,6,9,3,7]
[5,6,7,8,9,1,3,4,2]=>[1,2,7,3,9,6,4,8,5]
[6,7,8,9,1,3,4,5,2]=>[6,1,7,2,9,5,3,8,4]
[6,7,8,9,1,4,5,2,3]=>[1,8,6,2,9,5,3,7,4]
[6,7,8,9,1,4,5,3,2]=>[1,6,2,9,8,5,3,7,4]
[6,7,8,9,1,5,4,3,2]=>[1,2,9,8,7,5,3,6,4]
[7,8,9,1,4,5,6,2,3]=>[5,8,6,1,9,4,2,7,3]
[7,8,9,1,4,5,6,3,2]=>[5,6,1,9,8,4,2,7,3]
[7,8,9,1,5,6,3,4,2]=>[7,5,1,9,8,4,2,6,3]
[7,8,9,1,5,6,4,3,2]=>[5,1,9,8,7,4,2,6,3]
[7,8,9,1,6,5,4,3,2]=>[1,9,8,7,6,4,2,5,3]
[8,9,1,5,6,7,3,4,2]=>[4,7,5,9,8,3,1,6,2]
[8,9,1,5,6,7,4,3,2]=>[4,5,9,8,7,3,1,6,2]
[8,9,1,6,7,4,5,2,3]=>[8,6,4,9,7,3,1,5,2]
[8,9,1,6,7,4,5,3,2]=>[6,4,9,8,7,3,1,5,2]
[8,9,1,6,7,5,4,3,2]=>[4,9,8,7,6,3,1,5,2]
[9,1,7,8,5,6,3,4,2]=>[7,5,3,9,8,6,2,4,1]
[9,1,7,8,5,6,4,3,2]=>[5,3,9,8,7,6,2,4,1]
[2,3,4,5,7,9,6,8,1]=>[5,7,9,1,2,3,4,8,6]
[2,3,4,6,9,5,7,8,1]=>[4,6,7,9,1,2,3,8,5]
[2,3,5,9,4,6,7,8,1]=>[3,5,6,7,9,1,2,8,4]
[2,4,9,3,5,6,7,8,1]=>[2,4,5,6,7,9,1,8,3]
[5,9,8,7,6,4,3,1,2]=>[8,9,7,1,6,5,4,3,2]
[5,4,8,7,6,3,2,1,9]=>[8,1,7,2,6,5,4,3,9]
[6,5,9,8,7,4,3,1,2]=>[1,8,9,2,7,6,5,4,3]
[9,5,8,7,6,4,3,1,2]=>[8,9,2,7,6,5,4,3,1]
[7,6,8,5,4,3,2,9,1]=>[2,1,7,6,5,4,3,9,8]
[6,8,7,5,4,3,2,9,1]=>[7,1,6,5,4,3,2,9,8]
[2,3,4,5,6,1,8,9,7]=>[1,2,3,4,5,7,9,6,8]
[2,3,4,5,1,7,8,9,6]=>[1,2,3,4,6,7,9,5,8]
[2,9,3,4,5,6,1,7,8]=>[3,4,5,7,1,6,8,9,2]
[2,8,3,4,5,1,6,9,7]=>[3,4,5,9,1,6,7,2,8]
[2,7,3,4,1,5,8,9,6]=>[3,4,7,9,1,5,2,6,8]
[2,6,3,1,4,7,8,9,5]=>[3,6,7,1,2,9,4,5,8]
[4,2,5,3,7,6,9,8,1]=>[3,1,5,9,2,4,6,8,7]
[4,2,6,3,7,5,9,8,1]=>[1,5,3,9,2,4,6,8,7]
[4,2,6,3,8,5,9,7,1]=>[1,3,9,6,2,4,5,8,7]
[4,2,6,3,8,5,1,7,9]=>[1,7,4,2,3,6,8,5,9]
[4,2,6,3,8,5,7,1,9]=>[1,6,3,8,2,4,7,5,9]
[4,2,6,3,5,8,7,1,9]=>[1,8,4,2,3,5,7,6,9]
[4,2,3,6,5,8,7,1,9]=>[4,1,8,2,3,5,7,6,9]
[5,2,6,3,7,4,9,8,1]=>[5,3,1,9,2,4,6,8,7]
[4,2,7,3,8,5,9,6,1]=>[9,1,6,4,2,3,5,8,7]
[4,2,6,3,9,5,1,7,8]=>[1,7,4,2,3,6,8,9,5]
[4,2,6,3,8,5,7,9,1]=>[1,6,3,7,2,4,5,9,8]
[4,2,6,3,5,8,1,7,9]=>[4,1,5,2,3,7,8,6,9]
[4,2,3,6,8,5,7,1,9]=>[4,1,6,8,2,3,7,5,9]
[2,4,6,3,5,8,7,1,9]=>[8,2,4,1,3,5,7,6,9]
[3,4,5,6,9,2,1,8,7]=>[1,2,3,4,6,9,7,8,5]
[3,4,5,8,2,9,1,7,6]=>[9,1,2,3,5,7,4,8,6]
[3,4,7,2,8,9,1,5,6]=>[7,8,1,2,4,3,5,9,6]
[3,6,2,7,8,9,1,5,4]=>[4,2,9,1,7,3,5,8,6]
[5,2,6,7,8,9,1,4,3]=>[3,1,4,9,7,2,5,8,6]
[3,4,5,6,9,1,7,8,2]=>[1,2,3,4,7,9,6,8,5]
[3,4,5,8,9,6,1,7,2]=>[9,7,1,2,3,6,4,8,5]
[3,4,7,8,5,9,1,2,6]=>[7,5,1,2,3,8,4,9,6]
[3,4,5,9,2,6,1,8,7]=>[1,2,3,5,6,9,7,8,4]
[3,6,7,4,8,9,1,5,2]=>[2,9,4,1,3,7,5,8,6]
[3,4,8,2,5,9,1,7,6]=>[9,1,2,4,5,7,3,8,6]
[5,6,3,7,8,9,1,4,2]=>[1,4,2,9,3,7,5,8,6]
[3,7,2,4,8,9,1,5,6]=>[7,8,1,3,4,2,5,9,6]
[6,2,3,7,8,9,1,5,4]=>[4,9,7,2,1,3,5,8,6]
[8,9,7,6,5,4,1,3,2]=>[9,7,1,8,6,5,4,3,2]
[8,7,9,6,5,4,1,3,2]=>[9,7,2,1,8,6,5,4,3]
[9,7,8,6,5,4,1,3,2]=>[9,7,2,8,6,5,4,3,1]
[1,3,2,4,5,6,9,7,8]=>[2,8,9,1,3,4,5,6,7]
[2,3,1,4,5,6,9,7,8]=>[1,2,8,9,3,4,5,6,7]
[4,3,9,5,6,7,8,2,1]=>[1,4,5,6,9,2,8,7,3]
[3,2,8,5,6,7,1,9,4]=>[4,5,9,1,7,2,6,3,8]
[7,8,4,5,6,1,3,9,2]=>[3,7,4,1,9,6,5,2,8]
[3,4,1,9,6,7,8,2,5]=>[5,8,1,2,6,9,7,3,4]
[4,8,9,5,6,7,2,1,3]=>[4,8,7,1,5,2,9,6,3]
[4,2,3,8,6,7,1,9,5]=>[1,5,9,7,2,3,6,4,8]
[6,8,4,5,1,3,7,9,2]=>[6,3,1,7,4,9,5,2,8]
[3,5,1,4,9,7,8,2,6]=>[2,8,1,6,9,4,7,3,5]
[8,3,4,9,6,7,2,5,1]=>[7,5,9,2,3,1,8,6,4]
[4,7,9,5,6,2,1,8,3]=>[6,4,1,2,9,7,5,8,3]
[8,1,2,5,3,4,6,7,9]=>[5,6,2,3,4,7,8,1,9]
[1,9,2,3,6,4,5,7,8]=>[6,7,3,4,5,8,9,1,2]
[8,1,2,6,4,3,5,7,9]=>[6,5,7,2,3,4,8,1,9]
[8,1,2,6,3,5,4,7,9]=>[7,5,6,2,3,4,8,1,9]
[1,9,2,3,7,5,4,6,8]=>[7,6,8,3,4,5,9,1,2]
[1,9,2,3,7,4,6,5,8]=>[8,6,7,3,4,5,9,1,2]
[5,6,7,8,9,3,2,1,4]=>[1,2,3,8,7,6,4,9,5]
[6,7,8,9,3,4,1,2,5]=>[1,7,5,2,8,6,3,9,4]
[6,7,8,9,3,4,2,1,5]=>[1,5,2,8,7,6,3,9,4]
[7,8,9,3,4,5,1,2,6]=>[4,7,5,1,8,6,2,9,3]
[7,8,9,3,4,5,2,1,6]=>[4,5,1,8,7,6,2,9,3]
[7,8,9,4,5,2,3,1,6]=>[6,4,1,8,7,5,2,9,3]
[7,8,9,4,5,3,2,1,6]=>[4,1,8,7,6,5,2,9,3]
[8,9,4,5,6,2,3,1,7]=>[3,6,4,8,7,5,1,9,2]
[8,9,4,5,6,3,2,1,7]=>[3,4,8,7,6,5,1,9,2]
[8,9,5,6,3,4,1,2,7]=>[7,5,3,8,6,4,1,9,2]
[8,9,5,6,3,4,2,1,7]=>[5,3,8,7,6,4,1,9,2]
[8,9,5,6,4,3,2,1,7]=>[3,8,7,6,5,4,1,9,2]
[9,6,7,4,5,3,2,1,8]=>[4,2,8,7,6,5,3,9,1]
[4,2,6,1,3,5,8,7,9]=>[8,2,1,4,5,3,6,7,9]
[4,2,6,1,8,3,5,7,9]=>[6,1,7,2,3,8,4,5,9]
[4,2,8,1,3,6,5,7,9]=>[7,2,1,4,5,6,8,3,9]
[4,2,6,1,9,3,5,8,7]=>[1,9,6,2,3,7,8,4,5]
[9,7,1,8,2,3,4,5,6]=>[5,6,7,8,9,3,2,4,1]
[9,6,1,7,2,8,3,4,5]=>[7,8,9,5,3,2,4,6,1]
[8,6,1,9,7,2,3,4,5]=>[6,7,8,2,9,5,3,1,4]
[9,8,6,1,7,2,3,4,5]=>[6,7,8,9,4,3,5,2,1]
[8,5,1,9,6,2,7,3,4]=>[8,2,9,6,5,7,3,1,4]
[9,8,5,1,6,2,7,3,4]=>[8,9,6,4,3,5,7,2,1]
[9,7,5,1,8,6,2,3,4]=>[7,8,3,9,6,4,2,5,1]
[9,8,7,5,1,6,2,3,4]=>[7,8,9,5,4,6,3,2,1]
[9,7,4,1,8,5,2,6,3]=>[3,9,7,6,8,4,2,5,1]
[9,8,7,4,1,5,2,6,3]=>[9,7,5,4,6,8,3,2,1]
[8,6,4,1,9,7,5,2,3]=>[3,8,2,9,7,6,4,1,5]
[9,8,6,4,1,7,5,2,3]=>[8,4,9,7,5,3,6,2,1]
[9,8,7,6,4,1,5,2,3]=>[8,9,6,5,7,4,3,2,1]
[9,8,7,5,3,1,6,4,2]=>[5,9,8,6,4,7,3,2,1]
[9,1,2,8,4,3,5,6,7]=>[6,5,7,8,9,2,3,4,1]
[8,1,9,3,2,4,6,5,7]=>[4,8,5,6,7,9,2,1,3]
[9,8,2,1,3,5,6,4,7]=>[3,6,8,4,5,7,9,2,1]
[8,1,9,2,4,5,6,3,7]=>[5,6,8,4,7,9,2,1,3]
[1,4,3,6,5,8,7,9,2]=>[2,4,7,3,5,6,9,1,8]
[1,4,2,6,5,8,7,9,3]=>[2,4,7,5,6,9,1,3,8]
[1,5,2,6,4,8,7,9,3]=>[4,2,7,5,6,9,1,3,8]
[1,5,2,7,4,8,6,9,3]=>[2,7,5,4,6,9,1,3,8]
[1,5,2,7,4,9,6,8,3]=>[2,7,4,9,5,8,1,3,6]
[1,5,2,7,4,6,9,8,3]=>[2,9,5,4,6,8,1,3,7]
[1,5,2,4,7,6,9,8,3]=>[5,2,9,4,6,8,1,3,7]
[1,2,5,4,7,6,9,8,3]=>[3,5,9,4,6,8,1,2,7]
[1,5,2,6,3,8,7,9,4]=>[4,2,7,6,9,1,3,5,8]
[1,6,2,7,4,8,5,9,3]=>[7,5,4,2,6,9,1,3,8]
[1,5,2,8,4,9,6,7,3]=>[2,7,9,5,4,8,1,3,6]
[1,5,2,7,4,6,8,9,3]=>[5,2,6,4,7,9,1,3,8]
[1,5,2,4,7,9,6,8,3]=>[5,2,7,9,4,8,1,3,6]
[1,2,5,7,4,6,9,8,3]=>[9,3,5,4,6,8,1,2,7]
[4,5,6,7,9,8,3,2,1]=>[9,1,2,3,4,8,7,6,5]
[5,4,6,7,8,9,3,2,1]=>[2,1,3,4,5,9,8,7,6]
[6,5,7,8,9,4,3,2,1]=>[2,1,3,4,9,8,7,6,5]
[4,5,6,7,3,9,8,2,1]=>[1,2,3,4,9,5,8,7,6]
[3,5,6,7,9,8,4,2,1]=>[9,2,3,4,8,1,7,6,5]
[5,4,6,7,8,3,9,2,1]=>[2,1,3,4,6,5,9,8,7]
[4,3,6,7,8,9,5,2,1]=>[1,3,4,5,9,2,8,7,6]
[3,4,5,6,8,9,7,1,2]=>[8,1,2,3,4,5,9,7,6]
[3,4,5,7,8,9,6,1,2]=>[4,8,1,2,3,5,9,7,6]
[3,5,6,7,8,9,4,1,2]=>[2,3,4,8,1,5,9,7,6]
[4,5,6,7,8,9,3,1,2]=>[1,2,3,4,8,5,9,7,6]
[3,4,5,8,1,9,7,6,2]=>[9,8,1,2,3,7,5,4,6]
[3,4,7,1,8,9,6,5,2]=>[5,3,9,1,2,8,7,4,6]
[3,6,1,7,8,9,4,5,2]=>[4,2,7,1,5,9,8,3,6]
[5,1,6,7,8,9,4,3,2]=>[3,1,4,5,9,8,7,2,6]
[1,5,6,7,8,9,3,2,4]=>[2,3,4,8,7,5,9,1,6]
[3,4,5,8,9,6,7,1,2]=>[8,6,1,2,3,4,9,7,5]
[3,4,7,8,5,9,6,1,2]=>[5,3,8,1,2,4,9,7,6]
[3,4,5,9,1,6,7,8,2]=>[1,2,3,6,7,9,5,8,4]
[3,4,8,1,5,9,7,6,2]=>[9,8,1,2,5,7,4,3,6]
[5,6,3,7,8,9,4,1,2]=>[1,4,2,8,3,5,9,7,6]
[3,7,1,4,8,9,6,5,2]=>[5,9,8,1,4,2,7,3,6]
[5,2,6,7,8,9,3,1,4]=>[3,1,4,8,7,2,5,9,6]
[6,1,3,7,8,9,4,5,2]=>[4,7,5,1,9,3,8,2,6]
[1,2,6,7,8,9,4,3,5]=>[3,4,8,7,5,9,1,2,6]
[9,3,4,5,6,8,7,2,1]=>[9,2,3,4,5,8,7,6,1]
[9,4,3,5,6,7,8,2,1]=>[3,2,4,5,6,9,8,7,1]
[9,8,3,4,5,7,6,2,1]=>[9,3,4,5,8,7,6,2,1]
[9,8,4,3,5,6,7,2,1]=>[4,3,5,6,9,8,7,2,1]
[9,3,4,5,6,2,8,7,1]=>[2,3,4,5,9,6,8,7,1]
[9,2,4,5,6,8,7,3,1]=>[9,3,4,5,8,2,7,6,1]
[9,4,3,5,6,7,2,8,1]=>[3,2,4,5,7,6,9,8,1]
[9,3,2,5,6,7,8,4,1]=>[2,4,5,6,9,3,8,7,1]
[4,6,3,5,7,2,8,1,9]=>[1,3,4,2,6,5,8,7,9]
[5,6,3,4,7,2,8,1,9]=>[3,1,4,2,6,5,8,7,9]
[1,5,7,4,6,8,3,9,2]=>[2,4,5,3,7,6,9,1,8]
[1,6,7,4,5,8,3,9,2]=>[4,2,5,3,7,6,9,1,8]
[1,2,3,4,8,5,9,6,7]=>[8,9,6,1,2,3,4,5,7]
[1,2,3,7,4,5,8,6,9]=>[8,5,6,1,2,3,4,7,9]
[1,2,3,4,8,6,5,7,9]=>[7,6,8,1,2,3,4,5,9]
[1,2,3,4,9,7,5,6,8]=>[7,8,6,9,1,2,3,4,5]
[2,1,4,9,3,5,6,7,8]=>[1,3,5,6,7,8,9,2,4]
[3,7,1,2,4,5,6,9,8]=>[1,9,3,4,5,6,2,7,8]
[3,1,2,6,9,4,5,7,8]=>[1,6,4,7,8,9,2,3,5]
[4,6,1,2,3,5,9,7,8]=>[8,1,9,3,4,2,5,6,7]
[9,7,6,5,4,3,8,2,1]=>[6,5,4,3,2,9,8,7,1]
[9,8,6,5,4,7,3,2,1]=>[5,4,3,9,8,7,6,2,1]
[5,4,3,2,1,9,7,8,6]=>[3,2,1,7,9,4,8,5,6]
[2,1,4,3,6,5,8,7,10,9]=>[1,3,5,7,10,2,4,6,8,9]
[3,4,1,2,6,5,8,7,10,9]=>[1,5,2,7,10,3,4,6,8,9]
[4,3,2,1,6,5,8,7,10,9]=>[3,2,1,5,7,10,4,6,8,9]
[6,3,2,5,4,1,8,7,10,9]=>[2,5,3,4,1,7,10,6,8,9]
[8,3,2,5,4,7,6,1,10,9]=>[2,4,7,3,5,6,1,10,8,9]
[10,3,2,5,4,7,6,9,8,1]=>[2,4,6,10,3,5,7,9,8,1]
[4,5,6,1,2,3,8,7,10,9]=>[1,7,2,10,4,3,5,6,8,9]
[3,5,1,6,2,4,8,7,10,9]=>[7,1,4,2,10,3,5,6,8,9]
[2,1,5,6,3,4,8,7,10,9]=>[3,7,1,4,10,2,5,6,8,9]
[2,1,6,5,4,3,8,7,10,9]=>[5,4,1,3,7,10,2,6,8,9]
[6,5,4,3,2,1,8,7,10,9]=>[5,4,3,2,1,7,10,6,8,9]
[8,5,4,3,2,7,6,1,10,9]=>[4,3,2,7,5,6,1,10,8,9]
[10,5,4,3,2,7,6,9,8,1]=>[4,3,2,6,10,5,7,9,8,1]
[2,1,8,5,4,7,6,3,10,9]=>[4,7,5,6,1,3,10,2,8,9]
[8,7,4,3,6,5,2,1,10,9]=>[3,7,4,6,5,2,1,10,8,9]
[10,7,4,3,6,5,2,9,8,1]=>[3,6,4,5,2,10,7,9,8,1]
[2,1,10,5,4,7,6,9,8,3]=>[4,6,10,5,7,9,1,8,2,3]
[10,9,4,3,6,5,8,7,2,1]=>[3,5,10,4,6,9,8,7,2,1]
[8,9,5,6,3,4,10,1,2,7]=>[5,3,8,6,4,1,9,2,10,7]
[5,6,7,8,1,2,3,4,10,9]=>[1,10,5,2,6,3,7,4,8,9]
[4,6,7,1,8,2,3,5,10,9]=>[10,1,6,2,7,4,3,5,8,9]
[3,6,1,7,8,2,4,5,10,9]=>[10,6,1,4,2,7,3,5,8,9]
[2,1,6,7,8,3,4,5,10,9]=>[3,10,6,1,4,7,2,5,8,9]
[2,1,5,7,3,8,4,6,10,9]=>[10,3,7,1,5,2,4,6,8,9]
[3,5,1,7,2,8,4,6,10,9]=>[2,10,1,7,5,3,4,6,8,9]
[4,5,7,1,2,8,3,6,10,9]=>[1,2,10,7,4,5,3,6,8,9]
[3,4,1,2,7,8,5,6,10,9]=>[1,2,5,10,7,3,4,6,8,9]
[2,1,4,3,7,8,5,6,10,9]=>[5,10,1,3,7,2,4,6,8,9]
[2,1,4,3,8,7,6,5,10,9]=>[7,6,1,3,5,10,2,4,8,9]
[4,3,2,1,8,7,6,5,10,9]=>[1,7,2,6,3,5,10,4,8,9]
[8,3,2,7,6,5,4,1,10,9]=>[7,6,2,5,3,4,1,10,8,9]
[10,3,2,7,6,5,4,9,8,1]=>[6,5,2,4,10,3,7,9,8,1]
[2,1,8,7,6,5,4,3,10,9]=>[7,6,5,4,1,3,10,2,8,9]
[8,7,6,5,4,3,2,1,10,9]=>[7,6,5,4,3,2,1,10,8,9]
[9,7,6,5,4,3,2,10,1,8]=>[7,6,5,4,3,2,9,1,10,8]
[10,7,6,5,4,3,2,9,8,1]=>[6,5,4,3,2,10,7,9,8,1]
[2,1,10,7,6,5,4,9,8,3]=>[6,5,4,10,7,9,1,8,2,3]
[10,9,6,5,4,3,8,7,2,1]=>[5,4,3,10,6,9,8,7,2,1]
[2,1,4,3,10,7,6,9,8,5]=>[6,10,7,9,1,3,8,2,4,5]
[4,3,2,1,10,7,6,9,8,5]=>[1,6,10,2,7,9,3,8,4,5]
[10,3,2,9,6,5,8,7,4,1]=>[5,10,6,9,2,8,3,7,4,1]
[2,1,10,9,6,5,8,7,4,3]=>[5,10,6,9,8,7,1,4,2,3]
[10,9,8,5,4,7,6,3,2,1]=>[4,10,5,9,8,7,6,3,2,1]
[4,9,10,1,7,8,5,6,2,3]=>[9,7,5,10,1,8,4,2,6,3]
[10,8,9,6,7,4,5,2,3,1]=>[8,6,4,2,10,9,7,5,3,1]
[2,1,7,8,9,10,3,4,5,6]=>[7,3,8,4,9,1,5,10,2,6]
[3,7,1,8,9,10,2,4,5,6]=>[7,8,4,1,2,9,5,10,3,6]
[4,7,8,1,9,10,2,3,5,6]=>[7,8,1,2,9,5,3,10,4,6]
[5,7,8,9,1,10,2,3,4,6]=>[1,7,8,2,9,3,10,5,4,6]
[6,7,8,9,10,1,2,3,4,5]=>[6,1,7,2,8,3,9,4,10,5]
[5,6,8,9,1,2,10,3,4,7]=>[1,8,2,9,10,5,3,6,4,7]
[4,6,8,1,9,2,10,3,5,7]=>[8,1,2,9,10,6,4,3,5,7]
[3,6,1,8,9,2,10,4,5,7]=>[8,2,9,1,4,10,6,3,5,7]
[2,1,6,8,9,3,10,4,5,7]=>[3,8,9,4,10,1,6,2,5,7]
[2,1,5,8,3,9,10,4,6,7]=>[8,9,3,6,1,4,10,2,5,7]
[3,5,1,8,2,9,10,4,6,7]=>[2,8,9,1,6,4,10,3,5,7]
[4,5,8,1,2,9,10,3,6,7]=>[1,2,8,9,6,10,4,3,5,7]
[7,3,2,8,9,10,1,4,5,6]=>[7,8,2,4,1,9,3,5,10,6]
[3,4,1,2,8,9,10,5,6,7]=>[8,1,2,5,9,6,10,3,4,7]
[2,1,4,3,8,9,10,5,6,7]=>[8,5,9,1,3,6,10,2,4,7]
[2,1,4,3,7,9,5,10,6,8]=>[5,9,10,1,3,7,2,4,6,8]
[3,4,1,2,7,9,5,10,6,8]=>[1,2,5,9,10,7,3,4,6,8]
[4,5,7,1,2,9,3,10,6,8]=>[1,2,9,10,7,4,3,5,6,8]
[3,5,1,7,2,9,4,10,6,8]=>[2,9,1,4,10,7,3,5,6,8]
[2,1,5,7,3,9,4,10,6,8]=>[9,3,4,10,1,7,2,5,6,8]
[2,1,6,7,9,3,4,10,5,8]=>[3,9,4,10,1,6,7,2,5,8]
[3,6,1,7,9,2,4,10,5,8]=>[9,4,1,2,10,6,7,3,5,8]
[4,6,7,1,9,2,3,10,5,8]=>[9,1,2,10,6,3,7,4,5,8]
[5,6,7,9,1,2,3,10,4,8]=>[1,9,2,10,5,3,6,7,4,8]
[8,5,4,3,2,9,10,1,6,7]=>[4,3,2,8,9,5,1,6,10,7]
[2,1,5,6,3,4,9,10,7,8]=>[3,4,9,1,7,10,2,5,6,8]
[3,5,1,6,2,4,9,10,7,8]=>[4,1,2,9,7,10,3,5,6,8]
[4,5,6,1,2,3,9,10,7,8]=>[1,2,9,7,3,10,4,5,6,8]
[3,4,1,2,6,5,9,10,7,8]=>[1,2,9,5,7,10,3,4,6,8]
[2,1,4,3,6,5,9,10,7,8]=>[9,1,3,5,7,10,2,4,6,8]
[2,1,4,3,6,5,10,9,8,7]=>[10,9,1,3,5,8,2,4,6,7]
[4,3,2,1,6,5,10,9,8,7]=>[1,10,2,9,3,5,8,4,6,7]
[6,3,2,5,4,1,10,9,8,7]=>[10,2,4,1,9,3,5,8,6,7]
[10,3,2,5,4,9,8,7,6,1]=>[10,9,2,4,8,3,5,7,6,1]
[2,1,6,5,4,3,10,9,8,7]=>[3,10,4,9,1,5,8,2,6,7]
[6,5,4,3,2,1,10,9,8,7]=>[3,2,1,10,4,9,5,8,6,7]
[10,5,4,3,2,9,8,7,6,1]=>[2,10,3,9,4,8,5,7,6,1]
[2,1,10,5,4,9,8,7,6,3]=>[10,9,4,8,5,7,1,6,2,3]
[10,9,4,3,8,7,6,5,2,1]=>[10,9,3,8,4,7,6,5,2,1]
[7,10,5,9,3,8,1,6,4,2]=>[3,1,10,5,9,7,8,6,4,2]
[9,7,5,10,3,8,2,6,1,4]=>[5,3,7,2,9,1,10,8,6,4]
[5,6,7,10,1,2,3,9,8,4]=>[1,2,10,9,5,3,6,7,8,4]
[2,1,4,3,10,9,8,7,6,5]=>[10,9,8,7,1,3,6,2,4,5]
[4,3,2,1,10,9,8,7,6,5]=>[10,9,1,8,2,7,3,6,4,5]
[10,3,2,9,8,7,6,5,4,1]=>[10,9,8,7,2,6,3,5,4,1]
[4,5,10,1,2,9,8,7,6,3]=>[10,9,1,2,8,7,4,5,6,3]
[2,1,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,1,4,2,3]
[3,10,1,9,8,7,6,5,4,2]=>[10,9,8,7,6,1,5,3,4,2]
[9,10,8,7,6,5,4,3,1,2]=>[9,1,10,8,7,6,5,4,3,2]
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]
[3,4,2,1,6,5,8,7,10,9]=>[1,3,2,5,7,10,4,6,8,9]
[3,5,2,6,4,1,8,7,10,9]=>[5,1,3,2,4,7,10,6,8,9]
[3,5,2,7,4,8,6,1,10,9]=>[2,7,1,5,3,4,6,10,8,9]
[3,5,2,7,4,9,6,10,8,1]=>[2,4,10,1,7,3,5,6,9,8]
[2,1,5,6,4,3,8,7,10,9]=>[3,5,1,4,7,10,2,6,8,9]
[4,5,6,3,2,1,8,7,10,9]=>[1,2,5,4,3,7,10,6,8,9]
[4,5,7,3,2,8,6,1,10,9]=>[1,2,4,7,5,3,6,10,8,9]
[4,5,7,3,2,9,6,10,8,1]=>[10,1,2,4,3,7,5,6,9,8]
[2,1,5,7,4,8,6,3,10,9]=>[7,3,5,1,4,6,10,2,8,9]
[4,6,7,3,8,5,2,1,10,9]=>[2,7,1,4,3,6,5,10,8,9]
[4,6,7,3,9,5,2,10,8,1]=>[2,6,1,3,10,4,7,5,9,8]
[2,1,5,7,4,9,6,10,8,3]=>[4,10,3,7,1,5,6,9,2,8]
[4,6,8,3,9,5,10,7,2,1]=>[10,2,6,1,4,3,5,9,8,7]
[2,1,4,3,7,8,6,5,10,9]=>[5,7,1,3,6,10,2,4,8,9]
[3,4,2,1,7,8,6,5,10,9]=>[1,2,5,7,3,6,10,4,8,9]
[3,6,2,7,8,5,4,1,10,9]=>[4,2,7,1,6,3,5,10,8,9]
[3,6,2,7,9,5,4,10,8,1]=>[4,2,6,10,1,7,3,5,9,8]
[2,1,6,7,8,5,4,3,10,9]=>[3,4,7,6,1,5,10,2,8,9]
[5,6,7,8,4,3,2,1,10,9]=>[1,2,3,7,6,5,4,10,8,9]
[5,6,7,9,4,3,2,10,8,1]=>[1,2,3,6,5,10,7,4,9,8]
[2,1,6,7,9,5,4,10,8,3]=>[3,4,6,10,7,1,5,9,2,8]
[5,6,8,9,4,3,10,7,2,1]=>[5,1,2,3,10,6,4,9,8,7]
[2,1,4,3,7,9,6,10,8,5]=>[10,5,7,1,3,6,9,2,4,8]
[3,4,2,1,7,9,6,10,8,5]=>[10,1,2,5,7,3,6,9,4,8]
[3,6,2,8,9,5,10,7,4,1]=>[2,4,10,6,1,5,9,3,8,7]
[2,1,6,8,9,5,10,7,4,3]=>[4,10,3,6,5,9,1,8,2,7]
[5,7,8,9,4,10,6,3,2,1]=>[2,3,10,1,5,4,9,8,7,6]
[6,7,8,9,10,4,5,3,2,1]=>[1,2,3,6,4,10,9,8,7,5]
[6,7,8,9,10,1,4,5,3,2]=>[1,2,7,3,10,9,6,4,8,5]
[6,7,8,9,10,1,4,5,2,3]=>[1,2,9,7,3,10,6,4,8,5]
[6,7,8,9,10,4,5,2,3,1]=>[1,2,3,8,6,4,10,9,7,5]
[6,7,8,9,10,4,3,2,1,5]=>[1,2,3,9,8,7,6,4,10,5]
[6,7,8,9,10,3,4,5,2,1]=>[1,2,6,3,7,4,10,9,8,5]
[6,7,8,9,10,3,4,5,1,2]=>[1,2,6,3,9,7,4,10,8,5]
[6,7,8,9,10,1,3,4,5,2]=>[1,7,2,8,3,10,6,4,9,5]
[6,7,8,9,10,3,4,1,2,5]=>[1,2,8,6,3,9,7,4,10,5]
[6,7,8,9,10,3,4,2,1,5]=>[1,2,6,3,9,8,7,4,10,5]
[6,7,8,9,10,2,3,4,1,5]=>[1,6,2,7,3,9,8,4,10,5]
[6,7,8,9,10,2,3,4,5,1]=>[1,6,2,7,3,8,4,10,9,5]
[2,1,4,3,6,5,9,10,8,7]=>[7,10,1,3,5,9,2,4,6,8]
[3,4,2,1,6,5,9,10,8,7]=>[1,2,7,10,3,5,9,4,6,8]
[3,5,2,6,4,1,9,10,8,7]=>[4,1,2,7,10,3,5,9,6,8]
[3,5,2,8,4,9,10,7,6,1]=>[6,2,4,10,1,9,3,5,8,7]
[2,1,5,6,4,3,9,10,8,7]=>[3,4,7,10,1,5,9,2,6,8]
[4,5,6,3,2,1,9,10,8,7]=>[1,2,4,3,7,10,5,9,6,8]
[4,5,8,3,2,9,10,7,6,1]=>[6,10,1,2,4,3,9,5,8,7]
[2,1,5,8,4,9,10,7,6,3]=>[6,4,10,3,9,1,5,8,2,7]
[4,7,8,3,9,10,6,5,2,1]=>[2,5,3,10,1,9,4,8,7,6]
[2,1,4,3,8,9,10,7,6,5]=>[5,6,10,9,1,3,8,2,4,7]
[3,4,2,1,8,9,10,7,6,5]=>[5,6,10,1,2,9,3,8,4,7]
[3,7,2,8,9,10,6,5,4,1]=>[4,2,5,10,9,1,8,3,7,6]
[2,1,7,8,9,10,6,5,4,3]=>[3,4,5,10,9,8,1,7,2,6]
[6,7,8,9,10,1,5,4,3,2]=>[1,2,3,10,9,8,6,4,7,5]
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,10,9]
[2,3,4,5,6,7,8,9,1,10]=>[1,2,3,4,5,6,7,9,8,10]
[2,3,4,5,6,7,8,10,1,9]=>[1,2,3,4,5,6,7,9,10,8]
[2,3,4,5,6,7,9,10,1,8]=>[9,1,2,3,4,5,6,7,10,8]
[2,3,4,5,6,8,9,10,1,7]=>[6,9,1,2,3,4,5,7,10,8]
[2,3,4,5,7,8,9,10,1,6]=>[5,6,9,1,2,3,4,7,10,8]
[2,3,4,6,7,8,9,10,1,5]=>[4,5,6,9,1,2,3,7,10,8]
[2,3,5,6,7,8,9,10,1,4]=>[3,4,5,6,9,1,2,7,10,8]
[2,4,5,6,7,8,9,10,1,3]=>[2,3,4,5,6,9,1,7,10,8]
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,9,7,10,8]
[10,8,9,5,6,7,1,2,3,4]=>[7,8,4,9,5,2,10,6,3,1]
[10,8,9,4,5,6,1,2,3,7]=>[7,4,8,5,9,6,2,10,3,1]
[10,7,8,5,6,9,1,2,3,4]=>[7,8,4,2,9,5,3,10,6,1]
[10,7,8,4,5,9,1,2,3,6]=>[7,4,8,5,2,9,3,10,6,1]
[10,6,7,4,5,8,1,2,3,9]=>[7,4,2,8,5,3,9,6,10,1]
[10,7,8,3,4,9,1,2,5,6]=>[4,7,5,8,2,9,3,10,6,1]
[10,6,7,3,4,8,1,2,5,9]=>[4,7,5,2,8,3,9,6,10,1]
[9,8,10,5,6,7,1,2,3,4]=>[7,8,4,9,5,2,1,10,6,3]
[9,8,10,4,5,6,1,2,3,7]=>[7,4,8,5,9,6,2,1,10,3]
[9,7,10,5,6,8,1,2,3,4]=>[7,8,4,2,9,5,1,10,6,3]
[9,7,10,4,5,8,1,2,3,6]=>[7,4,8,5,2,9,1,10,6,3]
[9,6,10,4,5,7,1,2,3,8]=>[7,4,2,8,5,9,6,1,10,3]
[9,7,10,3,4,8,1,2,5,6]=>[4,7,5,8,2,9,1,10,6,3]
[9,6,10,3,4,7,1,2,5,8]=>[4,7,5,2,8,9,6,1,10,3]
[8,7,9,5,6,10,1,2,3,4]=>[7,8,4,2,1,9,5,3,10,6]
[8,7,9,4,5,10,1,2,3,6]=>[7,4,8,5,2,1,9,3,10,6]
[8,6,9,4,5,10,1,2,3,7]=>[7,4,2,8,5,1,9,3,10,6]
[7,6,8,4,5,9,1,2,3,10]=>[7,4,2,1,8,5,3,9,6,10]
[8,7,9,3,4,10,1,2,5,6]=>[4,7,5,8,2,1,9,3,10,6]
[8,6,9,3,4,10,1,2,5,7]=>[4,7,5,2,8,1,9,3,10,6]
[7,6,8,3,4,9,1,2,5,10]=>[4,7,5,2,1,8,3,9,6,10]
[9,6,10,5,7,8,1,2,3,4]=>[7,2,8,4,9,5,1,10,6,3]
[9,6,10,4,7,8,1,2,3,5]=>[7,4,2,8,9,5,1,10,6,3]
[9,5,10,4,6,7,1,2,3,8]=>[2,7,4,8,5,9,6,1,10,3]
[9,6,10,3,7,8,1,2,4,5]=>[4,7,2,8,9,5,1,10,6,3]
[9,5,10,3,6,7,1,2,4,8]=>[4,2,7,8,5,9,6,1,10,3]
[8,6,9,5,7,10,1,2,3,4]=>[7,2,8,4,1,9,5,3,10,6]
[8,6,9,4,7,10,1,2,3,5]=>[7,4,2,8,1,9,5,3,10,6]
[8,5,9,4,6,10,1,2,3,7]=>[2,7,4,8,5,1,9,3,10,6]
[7,5,8,4,6,9,1,2,3,10]=>[2,7,4,1,8,5,3,9,6,10]
[8,6,9,3,7,10,1,2,4,5]=>[4,7,2,8,1,9,5,3,10,6]
[8,5,9,3,6,10,1,2,4,7]=>[4,2,7,8,5,1,9,3,10,6]
[7,5,8,3,6,9,1,2,4,10]=>[4,2,7,1,8,5,3,9,6,10]
[8,4,9,3,5,10,1,2,6,7]=>[2,4,7,5,8,1,9,3,10,6]
[7,4,8,3,5,9,1,2,6,10]=>[2,4,7,5,1,8,3,9,6,10]
[9,6,10,2,7,8,1,3,4,5]=>[7,8,2,9,4,5,1,10,6,3]
[9,5,10,2,6,7,1,3,4,8]=>[7,2,8,4,5,9,6,1,10,3]
[8,6,9,2,7,10,1,3,4,5]=>[7,8,2,9,4,1,5,3,10,6]
[8,5,9,2,6,10,1,3,4,7]=>[7,2,8,4,5,1,9,3,10,6]
[7,5,8,2,6,9,1,3,4,10]=>[7,2,8,4,1,5,3,9,6,10]
[8,4,9,2,5,10,1,3,6,7]=>[2,7,4,5,8,1,9,3,10,6]
[7,4,8,2,5,9,1,3,6,10]=>[2,7,4,5,1,8,3,9,6,10]
[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]
[9,1,2,3,4,5,6,7,10,8]=>[10,2,3,4,5,6,7,8,1,9]
[2,10,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[1,2,3,4,5,6,7,9,10,8]=>[8,10,1,2,3,4,5,6,7,9]
[1,2,3,4,5,6,8,9,10,7]=>[7,8,10,1,2,3,4,5,6,9]
[1,2,3,4,5,7,8,9,10,6]=>[6,7,8,10,1,2,3,4,5,9]
[1,2,3,4,6,7,8,9,10,5]=>[5,6,7,8,10,1,2,3,4,9]
[1,2,3,5,6,7,8,9,10,4]=>[4,5,6,7,8,10,1,2,3,9]
[1,2,4,5,6,7,8,9,10,3]=>[3,4,5,6,7,8,10,1,2,9]
[1,3,4,5,6,7,8,9,10,2]=>[2,3,4,5,6,7,8,10,1,9]
[9,10,8,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,4,3,2]
[9,8,10,7,6,5,4,3,2,1]=>[2,1,10,9,8,7,6,5,4,3]
[9,8,7,10,6,5,4,3,2,1]=>[3,2,1,10,9,8,7,6,5,4]
[9,8,7,6,10,5,4,3,2,1]=>[4,3,2,1,10,9,8,7,6,5]
[9,8,7,6,5,10,4,3,2,1]=>[5,4,3,2,1,10,9,8,7,6]
[9,8,7,6,5,4,10,3,2,1]=>[6,5,4,3,2,1,10,9,8,7]
[9,8,7,6,5,4,3,10,2,1]=>[7,6,5,4,3,2,1,10,9,8]
[9,8,7,6,5,4,3,2,10,1]=>[8,7,6,5,4,3,2,1,10,9]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]
[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]
[10,1,2,3,4,5,6,9,7,8]=>[9,10,2,3,4,5,6,7,8,1]
[10,1,2,3,4,5,9,6,7,8]=>[8,9,10,2,3,4,5,6,7,1]
[9,1,2,3,4,10,5,6,7,8]=>[7,8,9,10,2,3,4,5,1,6]
[10,1,2,3,9,4,5,6,7,8]=>[6,7,8,9,10,2,3,4,5,1]
[10,1,2,9,3,4,5,6,7,8]=>[5,6,7,8,9,10,2,3,4,1]
[9,1,10,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,2,1,3]
[10,9,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,10,2,1]
[8,1,2,3,4,5,6,9,10,7]=>[8,10,2,3,4,5,6,1,7,9]
[7,1,2,3,4,5,10,9,6,8]=>[9,10,8,2,3,4,1,5,6,7]
[6,1,2,3,4,10,9,5,7,8]=>[8,9,10,7,2,1,3,4,5,6]
[5,1,2,3,9,10,4,6,7,8]=>[7,8,1,9,5,10,2,3,4,6]
[4,1,2,10,9,3,5,6,7,8]=>[6,1,7,8,9,10,5,2,3,4]
[3,1,10,9,2,4,5,6,7,8]=>[1,5,6,7,8,9,10,4,2,3]
[2,9,10,1,3,4,5,6,7,8]=>[4,5,6,7,8,9,1,2,10,3]
[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]
[9,8,7,5,6,4,3,2,1,10]=>[4,9,8,7,6,5,3,2,1,10]
[1,10,9,8,6,7,5,4,3,2]=>[5,10,9,8,7,6,4,3,1,2]
[10,2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,10,1]
[3,2,4,5,6,7,8,9,10,1]=>[2,1,3,4,5,6,7,8,10,9]
[2,4,6,8,10,1,3,5,7,9]=>[6,2,3,7,8,1,4,9,10,5]
[2,4,6,9,10,1,3,5,7,8]=>[6,2,3,7,8,9,1,4,10,5]
[2,4,7,8,10,1,3,5,6,9]=>[6,7,2,3,8,1,4,9,10,5]
[2,4,7,9,10,1,3,5,6,8]=>[6,7,2,3,8,9,1,4,10,5]
[2,4,8,9,10,1,3,5,6,7]=>[6,7,8,2,3,9,1,4,10,5]
[2,5,6,8,10,1,3,4,7,9]=>[2,6,3,7,8,1,4,9,10,5]
[2,5,6,9,10,1,3,4,7,8]=>[2,6,3,7,8,9,1,4,10,5]
[2,5,7,8,10,1,3,4,6,9]=>[2,6,7,3,8,1,4,9,10,5]
[2,5,7,9,10,1,3,4,6,8]=>[2,6,7,3,8,9,1,4,10,5]
[2,5,8,9,10,1,3,4,6,7]=>[2,6,7,8,3,9,1,4,10,5]
[2,6,7,8,10,1,3,4,5,9]=>[6,2,7,3,8,1,4,9,10,5]
[2,6,7,9,10,1,3,4,5,8]=>[6,2,7,3,8,9,1,4,10,5]
[2,6,8,9,10,1,3,4,5,7]=>[6,2,7,8,3,9,1,4,10,5]
[2,7,8,9,10,1,3,4,5,6]=>[6,7,2,8,3,9,1,4,10,5]
[3,4,6,8,10,1,2,5,7,9]=>[6,1,2,3,7,8,4,9,10,5]
[3,4,6,9,10,1,2,5,7,8]=>[6,1,2,3,7,8,9,4,10,5]
[3,4,7,8,10,1,2,5,6,9]=>[6,7,1,2,3,8,4,9,10,5]
[3,4,7,9,10,1,2,5,6,8]=>[6,7,1,2,3,8,9,4,10,5]
[3,4,8,9,10,1,2,5,6,7]=>[6,7,8,1,2,3,9,4,10,5]
[3,5,6,8,10,1,2,4,7,9]=>[2,6,1,3,7,8,4,9,10,5]
[3,5,6,9,10,1,2,4,7,8]=>[2,6,1,3,7,8,9,4,10,5]
[3,5,7,8,10,1,2,4,6,9]=>[2,6,7,1,3,8,4,9,10,5]
[3,5,7,9,10,1,2,4,6,8]=>[2,6,7,1,3,8,9,4,10,5]
[3,5,8,9,10,1,2,4,6,7]=>[2,6,7,8,1,3,9,4,10,5]
[3,6,7,8,10,1,2,4,5,9]=>[6,2,7,1,3,8,4,9,10,5]
[3,6,7,9,10,1,2,4,5,8]=>[6,2,7,1,3,8,9,4,10,5]
[3,6,8,9,10,1,2,4,5,7]=>[6,2,7,8,1,3,9,4,10,5]
[3,7,8,9,10,1,2,4,5,6]=>[6,7,2,8,1,3,9,4,10,5]
[4,5,6,8,10,1,2,3,7,9]=>[1,2,6,3,7,8,4,9,10,5]
[4,5,6,9,10,1,2,3,7,8]=>[1,2,6,3,7,8,9,4,10,5]
[4,5,7,8,10,1,2,3,6,9]=>[1,2,6,7,3,8,4,9,10,5]
[4,5,7,9,10,1,2,3,6,8]=>[1,2,6,7,3,8,9,4,10,5]
[4,5,8,9,10,1,2,3,6,7]=>[1,2,6,7,8,3,9,4,10,5]
[4,6,7,8,10,1,2,3,5,9]=>[6,1,2,7,3,8,4,9,10,5]
[4,6,7,9,10,1,2,3,5,8]=>[6,1,2,7,3,8,9,4,10,5]
[4,6,8,9,10,1,2,3,5,7]=>[6,1,2,7,8,3,9,4,10,5]
[4,7,8,9,10,1,2,3,5,6]=>[6,7,1,2,8,3,9,4,10,5]
[5,6,7,8,10,1,2,3,4,9]=>[1,6,2,7,3,8,4,9,10,5]
[5,6,7,9,10,1,2,3,4,8]=>[1,6,2,7,3,8,9,4,10,5]
[5,6,8,9,10,1,2,3,4,7]=>[1,6,2,7,8,3,9,4,10,5]
[5,7,8,9,10,1,2,3,4,6]=>[1,6,7,2,8,3,9,4,10,5]
[3,1,4,5,6,7,8,9,10,2]=>[3,1,4,5,6,7,8,10,2,9]
[10,3,4,5,6,7,8,1,2,9]=>[2,3,4,5,8,6,9,7,10,1]
[10,1,4,5,6,7,8,9,2,3]=>[3,4,5,6,9,7,10,2,8,1]
[2,10,4,5,6,7,8,1,3,9]=>[3,4,5,8,6,9,1,7,10,2]
[8,3,4,5,6,7,1,10,2,9]=>[2,3,4,5,9,6,1,10,7,8]
[3,1,10,5,6,7,8,9,2,4]=>[4,5,6,9,1,7,10,8,2,3]
[9,1,4,5,6,7,8,2,10,3]=>[3,4,5,6,10,8,2,7,1,9]
[9,10,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,1,10,2]
[8,9,10,1,2,3,4,5,6,7]=>[4,5,6,7,8,1,9,2,10,3]
[10,8,9,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,10,3,1]
[10,9,8,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,10,3,2,1]
[7,8,9,10,1,2,3,4,5,6]=>[5,6,7,1,8,2,9,3,10,4]
[10,7,8,9,1,2,3,4,5,6]=>[5,6,7,8,2,9,3,10,4,1]
[9,10,7,8,1,2,3,4,5,6]=>[5,6,7,8,9,3,1,10,4,2]
[10,9,7,8,1,2,3,4,5,6]=>[5,6,7,8,9,3,10,4,2,1]
[10,9,8,7,1,2,3,4,5,6]=>[5,6,7,8,9,10,4,3,2,1]
[10,6,7,8,9,1,2,3,4,5]=>[6,7,2,8,3,9,4,10,5,1]
[9,10,6,7,8,1,2,3,4,5]=>[6,7,8,3,9,4,1,10,5,2]
[10,9,6,7,8,1,2,3,4,5]=>[6,7,8,3,9,4,10,5,2,1]
[10,8,9,6,7,1,2,3,4,5]=>[6,7,8,9,4,2,10,5,3,1]
[10,9,8,6,7,1,2,3,4,5]=>[6,7,8,9,4,10,5,3,2,1]
[10,9,8,7,6,1,2,3,4,5]=>[6,7,8,9,10,5,4,3,2,1]
[9,10,5,6,7,8,1,2,3,4]=>[7,3,8,4,9,5,1,10,6,2]
[10,9,5,6,7,8,1,2,3,4]=>[7,3,8,4,9,5,10,6,2,1]
[8,9,10,5,6,7,1,2,3,4]=>[7,8,4,1,9,5,2,10,6,3]
[10,9,8,5,6,7,1,2,3,4]=>[7,8,4,9,5,10,6,3,2,1]
[9,10,7,8,5,6,1,2,3,4]=>[7,8,9,5,3,1,10,6,4,2]
[10,9,7,8,5,6,1,2,3,4]=>[7,8,9,5,3,10,6,4,2,1]
[10,9,8,7,5,6,1,2,3,4]=>[7,8,9,5,10,6,4,3,2,1]
[10,9,8,7,6,5,1,2,3,4]=>[7,8,9,10,6,5,4,3,2,1]
[10,7,8,9,4,5,6,1,2,3]=>[8,5,2,9,6,3,10,7,4,1]
[9,10,7,8,4,5,6,1,2,3]=>[8,5,9,6,3,1,10,7,4,2]
[10,9,7,8,4,5,6,1,2,3]=>[8,5,9,6,3,10,7,4,2,1]
[10,9,8,7,4,5,6,1,2,3]=>[8,5,9,6,10,7,4,3,2,1]
[10,8,9,6,7,4,5,1,2,3]=>[8,9,6,4,2,10,7,5,3,1]
[10,9,8,6,7,4,5,1,2,3]=>[8,9,6,4,10,7,5,3,2,1]
[10,9,8,7,6,4,5,1,2,3]=>[8,9,6,10,7,5,4,3,2,1]
[10,9,8,7,6,5,4,1,2,3]=>[8,9,10,7,6,5,4,3,2,1]
[9,10,7,8,5,6,3,4,1,2]=>[9,7,5,3,1,10,8,6,4,2]
[10,9,7,8,5,6,3,4,1,2]=>[9,7,5,3,10,8,6,4,2,1]
[10,9,8,7,5,6,3,4,1,2]=>[9,7,5,10,8,6,4,3,2,1]
[10,9,8,7,6,5,3,4,1,2]=>[9,7,10,8,6,5,4,3,2,1]
[10,9,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,2,1]
[8,9,7,6,5,4,3,2,1,10]=>[1,9,8,7,6,5,4,3,2,10]
[1,9,10,8,7,6,5,4,3,2]=>[2,10,9,8,7,6,5,4,1,3]
[9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10]
[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,1,2]
[8,9,1,2,3,4,5,6,7,10]=>[3,4,5,6,7,8,1,9,2,10]
[1,9,10,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,2,10,1,3]
[2,4,1,3,6,5,8,7,10,9]=>[5,1,2,7,10,3,4,6,8,9]
[2,4,1,6,3,5,8,7,10,9]=>[2,7,1,4,10,3,5,6,8,9]
[2,4,1,6,3,8,5,7,10,9]=>[2,4,10,1,7,3,5,6,8,9]
[2,4,1,6,3,8,5,10,7,9]=>[2,4,9,1,6,10,3,5,7,8]
[2,4,1,6,3,8,5,9,7,10]=>[2,4,9,1,7,3,5,6,8,10]
[2,4,1,6,3,7,5,9,8,10]=>[2,6,1,4,9,3,5,7,8,10]
[2,4,1,5,3,7,6,9,8,10]=>[4,1,2,6,9,3,5,7,8,10]
[2,3,1,5,4,7,6,9,8,10]=>[1,2,4,6,9,3,5,7,8,10]
[1,3,2,5,4,7,6,9,8,10]=>[2,4,6,9,1,3,5,7,8,10]
[3,4,1,2,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]
[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]
[4,5,6,1,2,3,7,8,9,10]=>[4,1,5,2,6,3,7,8,9,10]
[4,2,5,1,3,6,7,8,9,10]=>[2,4,1,5,3,6,7,8,9,10]
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]
[5,6,7,8,1,2,3,4,9,10]=>[5,1,6,2,7,3,8,4,9,10]
[5,2,6,7,1,3,4,8,9,10]=>[5,6,2,1,3,7,4,8,9,10]
[5,6,3,4,1,2,7,8,9,10]=>[5,3,1,6,4,2,7,8,9,10]
[5,3,2,6,1,4,7,8,9,10]=>[3,2,5,1,6,4,7,8,9,10]
[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]
[6,2,7,8,9,1,3,4,5,10]=>[6,7,3,1,8,2,4,9,5,10]
[6,7,3,4,8,1,2,5,9,10]=>[3,6,4,1,7,2,8,5,9,10]
[6,3,2,7,8,1,4,5,9,10]=>[2,6,7,3,1,4,8,5,9,10]
[6,4,7,2,5,1,3,8,9,10]=>[4,2,6,1,7,5,3,8,9,10]
[6,4,3,2,7,1,5,8,9,10]=>[4,3,2,6,1,7,5,8,9,10]
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]
[7,8,3,4,9,10,1,2,5,6]=>[3,4,7,1,8,2,9,5,10,6]
[7,8,9,4,5,6,1,2,3,10]=>[7,4,1,8,5,2,9,6,3,10]
[7,4,3,2,8,9,1,5,6,10]=>[3,2,7,8,4,1,5,9,6,10]
[7,8,5,6,3,4,1,2,9,10]=>[7,5,3,1,8,6,4,2,9,10]
[7,5,3,8,2,6,1,4,9,10]=>[3,5,2,7,1,8,6,4,9,10]
[7,5,4,3,2,8,1,6,9,10]=>[5,4,3,2,7,1,8,6,9,10]
[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]
[8,5,9,10,2,6,7,1,3,4]=>[2,8,9,5,1,6,3,10,7,4]
[8,5,3,9,2,6,10,1,4,7]=>[8,3,2,5,6,1,9,4,10,7]
[8,6,9,4,7,2,5,1,3,10]=>[6,4,2,8,1,9,7,5,3,10]
[8,6,4,3,9,2,7,1,5,10]=>[4,3,6,2,8,1,9,7,5,10]
[8,6,5,4,3,2,9,1,7,10]=>[6,5,4,3,2,8,1,9,7,10]
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]
[9,7,5,4,3,10,2,8,1,6]=>[5,4,3,7,2,9,1,10,8,6]
[2,3,1,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]
[2,3,4,1,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]
[2,3,4,5,1,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]
[2,3,4,5,6,1,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]
[2,3,4,5,6,7,1,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]
[2,3,4,5,6,7,8,1,9,10]=>[1,2,3,4,5,6,8,7,9,10]
[3,4,1,5,6,7,8,9,10,2]=>[1,4,2,5,6,7,8,10,3,9]
[3,4,5,1,6,7,8,9,10,2]=>[1,2,5,3,6,7,8,10,4,9]
[3,4,5,6,1,7,8,9,10,2]=>[1,2,3,6,4,7,8,10,5,9]
[3,4,5,6,7,1,8,9,10,2]=>[1,2,3,4,7,5,8,10,6,9]
[3,4,5,6,7,8,1,9,10,2]=>[1,2,3,4,5,8,6,10,7,9]
[3,4,5,6,7,8,9,1,10,2]=>[1,2,3,4,5,6,10,8,7,9]
[9,8,7,6,5,4,3,1,10,2]=>[10,8,7,6,5,4,3,2,1,9]
[8,10,7,6,5,4,3,2,1,9]=>[1,9,8,7,6,5,4,3,10,2]
[1,8,7,6,5,4,3,10,9,2]=>[6,5,4,3,2,10,7,9,1,8]
[1,10,7,6,5,4,3,2,9,8]=>[7,6,5,4,3,10,8,9,1,2]
[9,1,7,6,5,4,3,10,8,2]=>[6,5,4,3,10,7,9,2,1,8]
[3,8,7,6,5,4,10,1,9,2]=>[6,5,4,3,1,2,10,8,9,7]
[8,10,1,6,5,4,3,2,9,7]=>[7,6,5,4,10,3,1,8,9,2]
[2,10,7,6,5,4,3,9,1,8]=>[7,6,5,4,3,9,10,1,8,2]
[8,10,9,7,6,5,4,3,2,1]=>[10,1,9,8,7,6,5,4,3,2]
[7,10,9,8,6,5,4,3,2,1]=>[10,9,1,8,7,6,5,4,3,2]
[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,1,7,6,5,4,3,2]
[5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,1,6,5,4,3,2]
[4,10,9,8,7,6,5,3,2,1]=>[10,9,8,7,6,1,5,4,3,2]
[3,10,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,1,4,3,2]
[2,10,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,1,3,2]
[1,2,3,4,5,6,7,10,8,9]=>[9,10,1,2,3,4,5,6,7,8]
[1,2,3,4,5,6,10,7,8,9]=>[8,9,10,1,2,3,4,5,6,7]
[1,2,3,4,5,10,6,7,8,9]=>[7,8,9,10,1,2,3,4,5,6]
[1,2,3,4,10,5,6,7,8,9]=>[6,7,8,9,10,1,2,3,4,5]
[1,2,3,10,4,5,6,7,8,9]=>[5,6,7,8,9,10,1,2,3,4]
[1,2,10,3,4,5,6,7,8,9]=>[4,5,6,7,8,9,10,1,2,3]
[8,7,10,9,6,5,4,3,2,1]=>[1,10,2,9,8,7,6,5,4,3]
[8,9,10,7,6,5,4,3,2,1]=>[1,2,10,9,8,7,6,5,4,3]
[7,6,5,10,9,8,4,3,2,1]=>[1,10,2,9,3,8,7,6,5,4]
[7,9,6,10,8,5,4,3,2,1]=>[10,1,3,2,9,8,7,6,5,4]
[7,8,9,10,6,5,4,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]
[6,5,4,3,10,9,8,7,2,1]=>[1,10,2,9,3,8,4,7,6,5]
[6,9,5,4,10,8,7,3,2,1]=>[10,1,3,9,4,2,8,7,6,5]
[6,5,8,7,10,9,4,3,2,1]=>[1,3,10,2,4,9,8,7,6,5]
[6,8,9,5,10,7,4,3,2,1]=>[2,10,1,4,3,9,8,7,6,5]
[5,4,3,2,1,10,9,8,7,6]=>[1,10,2,9,3,8,4,7,5,6]
[5,9,4,3,2,10,8,7,6,1]=>[10,1,3,9,4,8,5,2,7,6]
[5,4,8,7,3,10,9,6,2,1]=>[4,1,3,10,2,9,5,8,7,6]
[5,8,9,4,3,10,7,6,2,1]=>[10,4,1,2,9,5,3,8,7,6]
[5,7,4,9,6,10,8,3,2,1]=>[2,10,1,5,3,4,9,8,7,6]
[5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]
[4,3,8,7,2,1,10,9,6,5]=>[10,9,1,5,2,4,3,8,6,7]
[4,8,9,3,2,1,10,7,6,5]=>[10,4,9,1,5,2,8,6,3,7]
[4,3,2,7,6,5,10,9,8,1]=>[1,4,10,2,5,9,3,6,8,7]
[4,7,3,9,6,2,10,8,5,1]=>[5,2,10,1,9,3,6,4,8,7]
[4,7,8,9,3,2,10,6,5,1]=>[2,10,5,1,3,9,6,4,8,7]
[4,3,6,5,8,7,10,9,2,1]=>[1,3,5,10,2,4,6,9,8,7]
[4,6,7,8,9,3,10,5,2,1]=>[2,3,4,10,1,6,5,9,8,7]
[4,5,6,7,8,9,10,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]
[3,6,2,1,9,5,4,10,8,7]=>[10,6,1,2,9,3,7,4,5,8]
[3,2,6,5,8,7,1,10,9,4]=>[3,6,1,4,5,10,2,9,7,8]
[3,6,8,2,9,5,1,10,7,4]=>[2,6,10,9,1,4,3,7,5,8]
[3,6,7,8,9,2,1,10,5,4]=>[2,3,10,6,1,4,9,7,5,8]
[3,5,7,8,2,9,4,10,6,1]=>[3,10,2,7,1,5,4,6,9,8]
[3,5,6,7,8,9,2,10,4,1]=>[2,3,4,5,10,1,7,6,9,8]
[3,4,5,6,7,8,9,10,2,1]=>[1,2,3,4,5,6,7,10,9,8]
[2,4,6,1,8,3,9,5,10,7]=>[3,10,2,8,1,6,4,5,7,9]
[2,4,6,7,8,1,9,3,10,5]=>[3,4,10,2,8,1,6,5,7,9]
[2,4,5,6,7,8,9,1,10,3]=>[2,3,4,5,6,10,1,8,7,9]
[7,8,10,9,5,6,3,4,1,2]=>[1,2,9,7,5,10,8,6,4,3]
[9,10,5,6,8,7,3,4,1,2]=>[3,4,9,7,1,10,8,6,5,2]
[5,8,10,6,9,7,3,4,1,2]=>[4,2,9,1,7,10,8,6,5,3]
[5,6,7,10,9,8,3,4,1,2]=>[9,1,2,3,7,10,8,6,5,4]
[9,10,7,8,3,4,6,5,1,2]=>[5,6,9,3,1,10,8,7,4,2]
[7,8,10,9,3,4,6,5,1,2]=>[5,1,6,2,9,10,8,7,4,3]
[9,10,3,6,8,4,7,5,1,2]=>[6,4,9,10,3,1,8,7,5,2]
[3,8,10,6,9,4,7,5,1,2]=>[6,4,2,9,10,8,1,7,5,3]
[3,6,7,10,9,4,8,5,1,2]=>[2,3,6,9,10,8,1,7,5,4]
[9,10,3,4,5,8,7,6,1,2]=>[9,10,3,4,5,1,8,7,6,2]
[3,8,10,4,5,9,7,6,1,2]=>[9,10,4,2,5,8,1,7,6,3]
[3,4,7,10,5,9,8,6,1,2]=>[3,9,10,5,8,1,2,7,6,4]
[3,4,5,6,10,9,8,7,1,2]=>[9,10,8,1,2,3,4,7,6,5]
[9,10,7,8,5,6,1,2,4,3]=>[10,7,8,5,3,1,9,6,4,2]
[7,8,10,9,5,6,1,2,4,3]=>[1,10,7,2,8,5,9,6,4,3]
[9,10,5,6,8,7,1,2,4,3]=>[3,10,7,4,8,1,9,6,5,2]
[5,8,10,6,9,7,1,2,4,3]=>[10,7,1,4,2,8,9,6,5,3]
[5,6,7,10,9,8,1,2,4,3]=>[1,2,3,10,7,8,9,6,5,4]
[9,10,7,8,1,4,6,2,5,3]=>[6,10,8,9,5,3,1,7,4,2]
[7,8,10,9,1,4,6,2,5,3]=>[6,1,10,8,2,9,5,7,4,3]
[9,10,1,6,8,4,7,2,5,3]=>[6,4,10,8,9,7,3,1,5,2]
[1,8,10,6,9,4,7,2,5,3]=>[6,4,2,10,8,9,7,5,1,3]
[1,6,7,10,9,4,8,2,5,3]=>[2,3,6,10,8,9,7,5,1,4]
[9,10,1,4,5,8,7,2,6,3]=>[10,4,5,8,9,7,3,1,6,2]
[1,8,10,4,5,9,7,2,6,3]=>[10,4,5,2,8,9,7,6,1,3]
[1,4,7,10,5,9,8,2,6,3]=>[3,10,5,8,9,2,7,6,1,4]
[1,4,5,6,10,9,8,2,7,3]=>[10,8,9,2,3,4,7,6,1,5]
[9,10,7,8,1,2,3,6,5,4]=>[10,9,5,6,7,3,1,8,4,2]
[7,8,10,9,1,2,3,6,5,4]=>[10,9,5,1,6,2,7,8,4,3]
[9,10,1,6,8,2,3,7,5,4]=>[10,9,6,4,7,8,3,1,5,2]
[1,8,10,6,9,2,3,7,5,4]=>[10,9,6,4,2,7,8,5,1,3]
[1,6,7,10,9,2,3,8,5,4]=>[2,3,10,9,6,7,8,5,1,4]
[9,10,1,2,5,8,3,7,6,4]=>[10,5,9,7,8,3,4,1,6,2]
[1,8,10,2,5,9,3,7,6,4]=>[10,5,9,7,2,8,4,6,1,3]
[1,2,7,10,5,9,3,8,6,4]=>[3,10,5,9,7,8,6,1,2,4]
[1,2,5,6,10,9,3,8,7,4]=>[10,9,3,4,7,8,6,1,2,5]
[9,10,1,2,3,4,8,7,6,5]=>[10,9,8,3,4,5,6,1,7,2]
[1,8,10,2,3,4,9,7,6,5]=>[10,9,8,4,5,2,6,7,1,3]
[1,2,7,10,3,4,9,8,6,5]=>[3,10,9,8,5,6,7,1,2,4]
[1,2,3,6,10,4,9,8,7,5]=>[10,9,4,8,6,7,1,2,3,5]
[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]
[4,3,2,1,7,6,5,9,8,10]=>[2,1,6,3,5,9,4,7,8,10]
[7,3,2,1,6,5,4,9,8,10]=>[2,6,3,5,9,4,1,7,8,10]
[4,3,2,1,9,6,5,8,7,10]=>[2,1,6,9,3,7,8,4,5,10]
[6,3,2,1,9,5,4,8,7,10]=>[2,6,9,3,1,7,8,4,5,10]
[9,3,2,1,8,5,4,7,6,10]=>[2,6,9,3,7,8,4,5,1,10]
[6,5,2,1,9,4,3,8,7,10]=>[6,9,3,2,1,7,8,4,5,10]
[9,5,2,1,8,4,3,7,6,10]=>[6,9,3,2,7,8,4,5,1,10]
[4,3,2,1,7,6,5,10,8,9]=>[2,1,6,3,5,9,10,4,7,8]
[7,3,2,1,6,5,4,10,8,9]=>[2,6,3,5,9,1,10,4,7,8]
[4,3,2,1,8,6,5,10,7,9]=>[2,1,6,9,3,5,10,4,7,8]
[6,3,2,1,8,5,4,10,7,9]=>[2,6,9,3,1,5,10,4,7,8]
[8,3,2,1,7,5,4,10,6,9]=>[2,6,9,3,5,10,4,1,7,8]
[6,5,2,1,8,4,3,10,7,9]=>[6,9,3,2,1,5,10,4,7,8]
[8,5,2,1,7,4,3,10,6,9]=>[6,9,3,2,5,10,4,1,7,8]
[4,3,2,1,10,6,5,9,7,8]=>[2,1,6,9,10,3,7,8,4,5]
[6,3,2,1,10,5,4,9,7,8]=>[2,6,9,1,10,3,7,8,4,5]
[7,3,2,1,10,5,4,9,6,8]=>[2,6,9,10,3,1,7,8,4,5]
[10,3,2,1,9,5,4,8,6,7]=>[2,6,9,10,3,7,8,4,5,1]
[6,5,2,1,10,4,3,9,7,8]=>[6,9,2,1,10,3,7,8,4,5]
[7,5,2,1,10,4,3,9,6,8]=>[6,9,2,10,3,1,7,8,4,5]
[10,5,2,1,9,4,3,8,6,7]=>[6,9,2,10,3,7,8,4,5,1]
[4,3,2,1,8,7,5,10,6,9]=>[1,9,2,6,3,5,10,4,7,8]
[5,3,2,1,8,7,4,10,6,9]=>[9,2,1,6,3,5,10,4,7,8]
[8,3,2,1,7,6,4,10,5,9]=>[9,2,6,3,5,10,4,1,7,8]
[5,4,2,1,8,7,3,10,6,9]=>[2,1,9,6,3,5,10,4,7,8]
[8,4,2,1,7,6,3,10,5,9]=>[2,9,6,3,5,10,4,1,7,8]
[4,3,2,1,10,7,5,9,6,8]=>[1,9,2,6,10,3,7,8,4,5]
[5,3,2,1,10,7,4,9,6,8]=>[9,2,1,6,10,3,7,8,4,5]
[7,3,2,1,10,6,4,9,5,8]=>[9,2,6,10,3,1,7,8,4,5]
[10,3,2,1,9,6,4,8,5,7]=>[9,2,6,10,3,7,8,4,5,1]
[5,4,2,1,10,7,3,9,6,8]=>[2,1,9,6,10,3,7,8,4,5]
[7,4,2,1,10,6,3,9,5,8]=>[2,9,6,10,3,1,7,8,4,5]
[10,4,2,1,9,6,3,8,5,7]=>[2,9,6,10,3,7,8,4,5,1]
[7,6,2,1,10,5,3,9,4,8]=>[9,6,10,3,2,1,7,8,4,5]
[10,6,2,1,9,5,3,8,4,7]=>[9,6,10,3,2,7,8,4,5,1]
[5,4,3,1,8,7,2,10,6,9]=>[2,1,9,3,6,5,10,4,7,8]
[8,4,3,1,7,6,2,10,5,9]=>[2,9,3,6,5,10,4,1,7,8]
[5,4,3,1,10,7,2,9,6,8]=>[2,1,9,3,6,10,7,8,4,5]
[7,4,3,1,10,6,2,9,5,8]=>[2,9,3,6,1,10,7,8,4,5]
[10,4,3,1,9,6,2,8,5,7]=>[2,9,3,6,10,7,8,4,5,1]
[7,6,3,1,10,5,2,9,4,8]=>[9,3,6,2,1,10,7,8,4,5]
[10,6,3,1,9,5,2,8,4,7]=>[9,3,6,2,10,7,8,4,5,1]
[2,1,4,3,6,5,10,9,7,8]=>[9,10,1,3,5,8,2,4,6,7]
[2,1,4,3,8,7,5,6,10,9]=>[10,7,1,3,6,2,4,5,8,9]
[2,1,4,3,10,7,5,9,6,8]=>[9,6,10,1,3,7,8,2,4,5]
[2,1,4,3,10,9,8,5,6,7]=>[8,9,10,7,1,3,6,2,4,5]
[2,1,6,5,3,4,8,7,10,9]=>[7,4,1,3,10,2,5,6,8,9]
[2,1,6,5,3,4,10,9,7,8]=>[4,3,9,10,1,8,2,5,6,7]
[2,1,8,5,3,7,4,6,10,9]=>[4,10,7,1,5,6,2,3,8,9]
[2,1,10,5,3,7,4,9,6,8]=>[4,9,6,10,1,5,7,8,2,3]
[2,1,10,5,3,9,8,4,6,7]=>[4,8,9,10,7,1,5,6,2,3]
[2,1,8,7,6,3,4,5,10,9]=>[10,6,7,5,1,4,2,3,8,9]
[2,1,10,7,6,3,4,9,5,8]=>[9,10,6,5,1,4,7,8,2,3]
[2,1,10,9,6,3,8,4,5,7]=>[8,9,5,10,6,7,1,4,2,3]
[2,1,10,9,8,7,3,4,5,6]=>[7,8,9,10,6,5,1,4,2,3]
[4,3,1,2,6,5,8,7,10,9]=>[5,2,1,7,10,3,4,6,8,9]
[4,3,1,2,6,5,10,9,7,8]=>[2,1,9,10,5,8,3,4,6,7]
[4,3,1,2,8,7,5,6,10,9]=>[1,10,2,7,6,3,4,5,8,9]
[4,3,1,2,10,7,5,9,6,8]=>[1,9,2,6,10,7,8,3,4,5]
[4,3,1,2,10,9,8,5,6,7]=>[1,8,9,10,2,7,6,3,4,5]
[6,3,1,5,2,4,8,7,10,9]=>[2,7,4,10,3,1,5,6,8,9]
[6,3,1,5,2,4,10,9,7,8]=>[2,4,9,1,10,8,3,5,6,7]
[8,3,1,5,2,7,4,6,10,9]=>[2,4,10,7,3,5,6,1,8,9]
[10,3,1,5,2,7,4,9,6,8]=>[2,4,9,6,10,3,5,7,8,1]
[10,3,1,5,2,9,8,4,6,7]=>[2,4,8,9,10,7,3,5,6,1]
[8,3,1,7,6,2,4,5,10,9]=>[10,2,6,7,5,3,4,1,8,9]
[10,3,1,7,6,2,4,9,5,8]=>[9,10,2,6,5,3,4,7,8,1]
[10,3,1,9,6,2,8,4,5,7]=>[8,9,2,5,10,6,7,3,4,1]
[10,3,1,9,8,7,2,4,5,6]=>[7,8,9,10,2,6,5,3,4,1]
[6,5,4,1,2,3,8,7,10,9]=>[7,10,4,3,2,1,5,6,8,9]
[6,5,4,1,2,3,10,9,7,8]=>[9,3,2,1,10,8,4,5,6,7]
[8,5,4,1,2,7,3,6,10,9]=>[10,7,4,3,2,5,6,1,8,9]
[10,5,4,1,2,7,3,9,6,8]=>[9,6,3,2,10,4,5,7,8,1]
[10,5,4,1,2,9,8,3,6,7]=>[8,3,2,9,10,7,4,5,6,1]
[8,7,4,1,6,2,3,5,10,9]=>[10,6,3,7,4,5,2,1,8,9]
[10,7,4,1,6,2,3,9,5,8]=>[9,3,10,6,4,5,2,7,8,1]
[10,9,4,1,6,2,8,3,5,7]=>[8,3,9,5,10,4,6,7,2,1]
[10,9,4,1,8,7,2,3,5,6]=>[7,3,8,9,10,6,4,5,2,1]
[8,7,6,5,1,2,3,4,10,9]=>[10,5,6,7,4,3,2,1,8,9]
[10,7,6,5,1,2,3,9,4,8]=>[9,10,5,6,4,3,2,7,8,1]
[10,9,6,5,1,2,8,3,4,7]=>[8,9,10,5,4,3,6,7,2,1]
[10,9,8,5,1,7,2,3,4,6]=>[7,8,9,4,10,5,6,3,2,1]
[8,7,6,5,4,3,2,10,1,9]=>[7,6,5,4,3,2,1,9,10,8]
[7,6,5,4,3,10,2,9,1,8]=>[5,4,3,2,1,7,9,10,8,6]
[7,6,5,4,3,2,9,1,8,10]=>[6,5,4,3,2,1,8,9,7,10]
[6,5,4,10,3,9,2,8,1,7]=>[3,2,1,5,7,9,10,8,6,4]
[6,5,4,3,9,2,8,1,7,10]=>[4,3,2,1,6,8,9,7,5,10]
[6,5,4,3,2,8,10,1,7,9]=>[4,3,2,1,8,5,6,9,10,7]
[6,5,4,3,2,8,1,7,9,10]=>[5,4,3,2,1,7,8,6,9,10]
[5,10,4,9,3,8,2,7,1,6]=>[1,3,5,7,9,10,8,6,4,2]
[5,4,9,3,8,2,7,1,6,10]=>[2,1,4,6,8,9,7,5,3,10]
[5,4,3,8,2,7,10,1,6,9]=>[2,1,8,3,5,6,4,9,10,7]
[5,4,3,8,2,7,1,6,9,10]=>[3,2,1,5,7,8,6,4,9,10]
[5,4,3,2,7,9,1,6,8,10]=>[3,2,1,7,4,5,8,9,6,10]
[5,4,3,2,7,1,6,8,9,10]=>[4,3,2,1,6,7,5,8,9,10]
[4,8,3,7,2,6,10,1,5,9]=>[8,1,3,5,6,4,2,9,10,7]
[4,8,3,7,2,6,1,5,9,10]=>[1,3,5,7,8,6,4,2,9,10]
[4,3,7,10,2,6,9,1,5,8]=>[8,1,5,2,3,6,9,10,7,4]
[4,3,7,2,6,9,1,5,8,10]=>[1,7,2,4,5,3,8,9,6,10]
[4,3,7,2,6,1,5,8,9,10]=>[2,1,4,6,7,5,3,8,9,10]
[4,3,2,6,8,10,1,5,7,9]=>[2,1,4,7,8,3,5,9,10,6]
[4,3,2,6,8,1,5,7,9,10]=>[2,1,6,3,4,7,8,5,9,10]
[4,3,2,6,1,5,7,8,9,10]=>[3,2,1,5,6,4,7,8,9,10]
[3,6,9,2,5,8,1,4,7,10]=>[7,4,1,2,5,8,9,6,3,10]
[3,6,2,5,8,10,1,4,7,9]=>[4,7,1,2,8,3,5,9,10,6]
[3,6,2,5,8,1,4,7,9,10]=>[6,1,3,4,2,7,8,5,9,10]
[3,6,2,5,1,4,7,8,9,10]=>[1,3,5,6,4,2,7,8,9,10]
[3,2,5,7,9,1,4,6,8,10]=>[1,3,6,7,2,4,8,9,5,10]
[3,2,5,7,1,4,6,8,9,10]=>[1,5,2,3,6,7,4,8,9,10]
[3,2,5,1,4,6,7,8,9,10]=>[2,1,4,5,3,6,7,8,9,10]
[2,4,6,8,1,3,5,7,9,10]=>[2,5,6,1,3,7,8,4,9,10]
[2,4,6,1,3,5,7,8,9,10]=>[4,1,2,5,6,3,7,8,9,10]
[2,4,1,3,5,6,7,8,9,10]=>[1,3,4,2,5,6,7,8,9,10]
[9,8,7,6,5,4,2,1,10,3]=>[7,10,8,6,5,4,3,2,1,9]
[9,8,7,6,5,3,2,1,10,4]=>[7,6,10,8,5,4,3,2,1,9]
[9,8,7,6,4,3,2,1,10,5]=>[7,6,5,10,8,4,3,2,1,9]
[9,8,7,5,4,3,2,1,10,6]=>[7,6,5,4,10,8,3,2,1,9]
[9,8,6,5,4,3,2,1,10,7]=>[7,6,5,4,3,10,8,2,1,9]
[9,7,6,5,4,3,2,1,10,8]=>[7,6,5,4,3,2,10,8,1,9]
[7,8,9,10,4,5,6,2,3,1]=>[1,5,2,8,6,3,10,9,7,4]
[7,8,9,4,5,6,10,2,3,1]=>[4,1,5,2,8,6,3,10,9,7]
[7,8,9,10,4,5,2,3,6,1]=>[1,7,5,2,8,6,3,10,9,4]
[7,8,9,4,5,10,2,3,6,1]=>[4,1,7,5,2,8,3,10,9,6]
[7,8,9,4,5,2,3,6,10,1]=>[6,4,1,7,5,2,8,3,10,9]
[7,8,4,5,9,10,2,3,6,1]=>[3,4,1,7,2,8,5,10,9,6]
[7,8,4,5,9,2,3,6,10,1]=>[3,6,4,1,7,2,8,5,10,9]
[7,8,9,10,4,5,6,2,1,3]=>[1,5,2,9,8,6,3,10,7,4]
[7,8,9,4,5,6,10,2,1,3]=>[4,1,5,2,9,8,6,3,10,7]
[7,8,9,10,4,5,2,6,1,3]=>[1,7,5,2,9,6,3,10,8,4]
[7,8,9,4,5,10,2,6,1,3]=>[4,1,7,5,2,9,3,10,8,6]
[7,8,9,4,5,2,6,10,1,3]=>[4,1,9,6,5,2,7,3,10,8]
[7,8,4,5,9,10,2,6,1,3]=>[3,4,1,7,2,9,5,10,8,6]
[7,8,4,5,9,2,6,10,1,3]=>[3,4,1,9,6,2,7,5,10,8]
[7,8,9,10,4,5,2,1,3,6]=>[1,8,7,5,2,9,6,3,10,4]
[7,8,9,4,5,10,2,1,3,6]=>[4,1,8,7,5,2,9,3,10,6]
[7,8,9,4,5,2,10,1,3,6]=>[6,4,1,8,5,2,9,3,10,7]
[7,8,9,4,5,2,1,3,6,10]=>[7,6,4,1,8,5,2,9,3,10]
[7,8,4,5,9,10,2,1,3,6]=>[3,4,1,8,7,2,9,5,10,6]
[7,8,4,5,9,2,10,1,3,6]=>[3,6,4,1,8,2,9,5,10,7]
[7,8,4,5,9,2,1,3,6,10]=>[3,7,6,4,1,8,2,9,5,10]
[7,8,9,10,4,2,5,6,1,3]=>[1,9,6,5,2,7,3,10,8,4]
[7,8,9,4,10,2,5,6,1,3]=>[4,1,9,6,2,7,3,10,8,5]
[7,8,9,4,2,5,6,10,1,3]=>[6,4,1,9,5,2,7,3,10,8]
[7,8,4,9,10,2,5,6,1,3]=>[9,3,1,6,2,7,4,10,8,5]
[7,8,4,9,2,5,6,10,1,3]=>[3,6,1,9,5,2,7,4,10,8]
[7,8,9,10,4,2,5,1,3,6]=>[6,1,8,5,2,9,7,3,10,4]
[7,8,9,4,10,2,5,1,3,6]=>[6,4,1,8,2,9,7,3,10,5]
[7,8,9,4,2,5,10,1,3,6]=>[8,5,4,1,6,2,9,3,10,7]
[7,8,9,4,2,5,1,3,6,10]=>[5,7,4,1,8,6,2,9,3,10]
[7,8,4,9,10,2,5,1,3,6]=>[3,6,1,8,2,9,7,4,10,5]
[7,8,4,9,2,5,10,1,3,6]=>[3,8,5,1,6,2,9,4,10,7]
[7,8,4,9,2,5,1,3,6,10]=>[5,3,7,1,8,6,2,9,4,10]
[7,8,4,2,5,9,10,1,3,6]=>[5,3,8,1,9,4,2,6,10,7]
[7,8,4,2,5,9,1,3,6,10]=>[7,4,3,5,1,8,2,9,6,10]
[7,4,8,9,10,2,5,6,1,3]=>[9,6,2,1,3,7,4,10,8,5]
[7,4,8,9,2,5,6,10,1,3]=>[6,9,2,1,5,3,7,4,10,8]
[7,4,8,9,10,2,5,1,3,6]=>[6,8,2,1,3,9,7,4,10,5]
[7,4,8,9,2,5,10,1,3,6]=>[8,2,5,1,6,3,9,4,10,7]
[7,4,8,9,2,5,1,3,6,10]=>[2,5,7,1,8,6,3,9,4,10]
[7,4,8,2,5,9,10,1,3,6]=>[2,5,8,1,9,4,3,6,10,7]
[8,10,7,9,5,6,3,4,1,2]=>[1,9,7,5,3,10,8,6,4,2]
[9,10,6,8,5,7,3,4,1,2]=>[3,9,7,5,1,10,8,6,4,2]
[8,10,6,9,5,7,3,4,1,2]=>[3,1,9,7,5,10,8,6,4,2]
[7,10,6,9,5,8,3,4,1,2]=>[1,3,9,7,5,10,8,6,4,2]
[9,10,7,8,4,6,3,5,1,2]=>[5,9,7,3,1,10,8,6,4,2]
[8,10,7,9,4,6,3,5,1,2]=>[5,1,9,7,3,10,8,6,4,2]
[9,10,6,8,4,7,3,5,1,2]=>[5,3,9,7,1,10,8,6,4,2]
[8,10,6,9,4,7,3,5,1,2]=>[5,3,1,9,7,10,8,6,4,2]
[7,10,6,9,4,8,3,5,1,2]=>[1,5,3,9,7,10,8,6,4,2]
[9,10,5,8,4,7,3,6,1,2]=>[3,5,9,7,1,10,8,6,4,2]
[8,10,5,9,4,7,3,6,1,2]=>[3,5,1,9,7,10,8,6,4,2]
[7,10,5,9,4,8,3,6,1,2]=>[3,1,5,9,7,10,8,6,4,2]
[6,10,5,9,4,8,3,7,1,2]=>[1,3,5,9,7,10,8,6,4,2]
[9,10,7,8,5,6,2,4,1,3]=>[7,9,5,3,1,10,8,6,4,2]
[8,10,7,9,5,6,2,4,1,3]=>[7,1,9,5,3,10,8,6,4,2]
[9,10,6,8,5,7,2,4,1,3]=>[7,3,9,5,1,10,8,6,4,2]
[8,10,6,9,5,7,2,4,1,3]=>[7,3,1,9,5,10,8,6,4,2]
[7,10,6,9,5,8,2,4,1,3]=>[1,7,3,9,5,10,8,6,4,2]
[9,10,7,8,4,6,2,5,1,3]=>[7,5,9,3,1,10,8,6,4,2]
[8,10,7,9,4,6,2,5,1,3]=>[7,5,1,9,3,10,8,6,4,2]
[9,10,6,8,4,7,2,5,1,3]=>[7,5,3,9,1,10,8,6,4,2]
[8,10,6,9,4,7,2,5,1,3]=>[7,5,3,1,9,10,8,6,4,2]
[7,10,6,9,4,8,2,5,1,3]=>[1,7,5,3,9,10,8,6,4,2]
[9,10,5,8,4,7,2,6,1,3]=>[3,7,5,9,1,10,8,6,4,2]
[8,10,5,9,4,7,2,6,1,3]=>[3,7,5,1,9,10,8,6,4,2]
[7,10,5,9,4,8,2,6,1,3]=>[3,1,7,5,9,10,8,6,4,2]
[6,10,5,9,4,8,2,7,1,3]=>[1,3,7,5,9,10,8,6,4,2]
[9,10,7,8,3,6,2,5,1,4]=>[5,7,9,3,1,10,8,6,4,2]
[8,10,7,9,3,6,2,5,1,4]=>[5,7,1,9,3,10,8,6,4,2]
[9,10,6,8,3,7,2,5,1,4]=>[5,7,3,9,1,10,8,6,4,2]
[8,10,6,9,3,7,2,5,1,4]=>[5,7,3,1,9,10,8,6,4,2]
[7,10,6,9,3,8,2,5,1,4]=>[5,1,7,3,9,10,8,6,4,2]
[9,10,5,8,3,7,2,6,1,4]=>[5,3,7,9,1,10,8,6,4,2]
[8,10,5,9,3,7,2,6,1,4]=>[5,3,7,1,9,10,8,6,4,2]
[7,10,5,9,3,8,2,6,1,4]=>[5,3,1,7,9,10,8,6,4,2]
[6,10,5,9,3,8,2,7,1,4]=>[1,5,3,7,9,10,8,6,4,2]
[9,10,4,8,3,7,2,6,1,5]=>[3,5,7,9,1,10,8,6,4,2]
[8,10,4,9,3,7,2,6,1,5]=>[3,5,7,1,9,10,8,6,4,2]
[7,10,4,9,3,8,2,6,1,5]=>[3,5,1,7,9,10,8,6,4,2]
[6,10,4,9,3,8,2,7,1,5]=>[3,1,5,7,9,10,8,6,4,2]
[3,4,5,6,7,8,9,1,2,10]=>[1,2,3,4,5,8,6,9,7,10]
[1,4,5,6,7,8,9,10,2,3]=>[2,3,4,5,6,9,7,10,1,8]
[9,10,7,8,5,6,3,1,4,2]=>[10,8,7,5,3,1,9,6,4,2]
[9,10,7,8,5,3,6,1,4,2]=>[6,10,8,5,3,1,9,7,4,2]
[9,10,7,5,8,3,6,1,4,2]=>[6,4,10,8,3,1,9,7,5,2]
[9,7,10,5,8,3,6,1,4,2]=>[6,4,2,10,8,1,9,7,5,3]
[10,7,9,5,8,3,6,1,4,2]=>[6,4,2,10,8,9,7,5,3,1]
[10,8,9,5,7,3,6,1,4,2]=>[6,4,10,8,2,9,7,5,3,1]
[10,8,9,6,7,3,5,1,4,2]=>[6,10,8,4,2,9,7,5,3,1]
[10,8,9,6,7,4,5,1,3,2]=>[10,8,6,4,2,9,7,5,3,1]
[7,6,5,4,3,2,1,10,9,8]=>[5,4,3,2,1,10,6,9,7,8]
[7,6,5,4,3,2,1,9,8,10]=>[6,5,4,3,2,1,9,7,8,10]
[6,5,4,3,2,1,9,8,7,10]=>[4,3,2,1,9,5,8,6,7,10]
[6,5,4,3,2,1,8,7,9,10]=>[5,4,3,2,1,8,6,7,9,10]
[5,4,3,2,1,9,8,7,6,10]=>[2,1,9,3,8,4,7,5,6,10]
[5,4,3,2,1,8,7,6,10,9]=>[3,2,1,7,4,6,10,5,8,9]
[5,4,3,2,1,8,7,6,9,10]=>[3,2,1,8,4,7,5,6,9,10]
[5,4,3,2,1,7,6,9,8,10]=>[4,3,2,1,6,9,5,7,8,10]
[5,4,3,2,1,7,6,8,9,10]=>[4,3,2,1,7,5,6,8,9,10]
[4,3,2,1,8,7,6,5,9,10]=>[1,8,2,7,3,6,4,5,9,10]
[4,3,2,1,7,6,5,10,9,8]=>[2,1,5,10,3,6,9,4,7,8]
[4,3,2,1,7,6,5,8,9,10]=>[2,1,7,3,6,4,5,8,9,10]
[4,3,2,1,6,5,8,7,9,10]=>[3,2,1,5,8,4,6,7,9,10]
[4,3,2,1,6,5,7,8,9,10]=>[3,2,1,6,4,5,7,8,9,10]
[3,2,1,6,5,4,9,8,7,10]=>[1,4,9,2,5,8,3,6,7,10]
[3,2,1,6,5,4,8,7,10,9]=>[1,5,2,4,7,10,3,6,8,9]
[3,2,1,6,5,4,8,7,9,10]=>[1,5,2,4,8,3,6,7,9,10]
[3,2,1,6,5,4,7,8,9,10]=>[1,6,2,5,3,4,7,8,9,10]
[3,2,1,5,4,7,6,9,8,10]=>[2,1,4,6,9,3,5,7,8,10]
[3,2,1,5,4,7,6,8,9,10]=>[2,1,4,7,3,5,6,8,9,10]
[3,2,1,5,4,6,7,8,9,10]=>[2,1,5,3,4,6,7,8,9,10]
[2,1,4,3,6,5,8,7,9,10]=>[1,3,5,8,2,4,6,7,9,10]
[2,1,4,3,6,5,7,8,9,10]=>[1,3,6,2,4,5,7,8,9,10]
[2,1,4,3,5,6,7,8,9,10]=>[1,4,2,3,5,6,7,8,9,10]
[3,1,4,2,6,5,8,7,10,9]=>[3,1,5,7,10,2,4,6,8,9]
[3,1,5,2,6,4,8,7,10,9]=>[1,5,3,7,10,2,4,6,8,9]
[3,1,5,2,7,4,8,6,10,9]=>[1,3,7,5,10,2,4,6,8,9]
[3,1,5,2,7,4,9,6,10,8]=>[1,3,5,10,8,2,4,6,7,9]
[3,1,5,2,7,4,9,6,8,10]=>[1,3,8,5,9,2,4,6,7,10]
[3,1,5,2,7,4,6,9,8,10]=>[1,3,9,6,2,4,5,7,8,10]
[3,1,5,2,4,7,6,9,8,10]=>[1,6,3,9,2,4,5,7,8,10]
[3,1,2,5,4,7,6,9,8,10]=>[4,1,6,9,2,3,5,7,8,10]
[4,5,6,7,8,9,10,1,2,3]=>[1,2,3,4,8,5,9,6,10,7]
[4,5,6,7,8,9,10,2,3,1]=>[1,2,3,4,5,8,6,10,9,7]
[5,6,7,8,9,10,1,2,3,4]=>[1,2,7,3,8,4,9,5,10,6]
[5,6,7,8,9,10,2,3,4,1]=>[1,2,3,7,4,8,5,10,9,6]
[5,6,7,8,9,10,3,4,1,2]=>[1,2,3,4,9,7,5,10,8,6]
[5,6,7,8,9,10,3,4,2,1]=>[1,2,3,4,7,5,10,9,8,6]
[7,8,9,10,3,4,5,6,1,2]=>[5,1,6,2,9,7,3,10,8,4]
[7,8,9,10,3,4,5,6,2,1]=>[5,1,6,2,7,3,10,9,8,4]
[7,8,9,10,4,5,6,1,2,3]=>[1,8,5,2,9,6,3,10,7,4]
[7,8,9,10,4,5,6,3,2,1]=>[1,5,2,6,3,10,9,8,7,4]
[7,8,9,10,5,6,3,4,1,2]=>[1,2,9,7,5,3,10,8,6,4]
[7,8,9,10,5,6,3,4,2,1]=>[1,2,7,5,3,10,9,8,6,4]
[7,8,9,10,5,6,4,3,2,1]=>[1,2,5,3,10,9,8,7,6,4]
[8,9,10,5,6,7,2,3,4,1]=>[7,4,1,8,5,2,10,9,6,3]
[8,9,10,5,6,7,3,4,1,2]=>[4,1,9,7,5,2,10,8,6,3]
[8,9,10,5,6,7,3,4,2,1]=>[4,1,7,5,2,10,9,8,6,3]
[8,9,10,5,6,7,4,3,2,1]=>[4,1,5,2,10,9,8,7,6,3]
[8,9,10,6,7,4,5,2,3,1]=>[1,8,6,4,2,10,9,7,5,3]
[8,9,10,6,7,4,5,3,2,1]=>[1,6,4,2,10,9,8,7,5,3]
[8,9,10,6,7,5,4,3,2,1]=>[1,4,2,10,9,8,7,6,5,3]
[9,10,7,8,5,6,3,4,2,1]=>[7,5,3,1,10,9,8,6,4,2]
[9,10,7,8,5,6,4,3,2,1]=>[5,3,1,10,9,8,7,6,4,2]
[9,10,7,8,6,5,4,3,2,1]=>[3,1,10,9,8,7,6,5,4,2]
[9,7,5,3,1,10,8,6,4,2]=>[3,10,9,4,2,8,7,5,1,6]
[8,7,5,3,1,10,9,6,4,2]=>[3,10,9,4,2,1,8,7,5,6]
[9,6,5,3,1,10,8,7,4,2]=>[3,2,10,9,4,8,7,5,1,6]
[8,6,5,3,1,10,9,7,4,2]=>[3,2,10,9,4,1,8,7,5,6]
[7,6,5,3,1,10,9,8,4,2]=>[3,2,1,10,9,4,8,7,5,6]
[9,7,4,3,1,10,8,6,5,2]=>[10,3,9,4,2,8,7,5,1,6]
[8,7,4,3,1,10,9,6,5,2]=>[10,3,9,4,2,1,8,7,5,6]
[9,6,4,3,1,10,8,7,5,2]=>[10,3,2,9,4,8,7,5,1,6]
[8,6,4,3,1,10,9,7,5,2]=>[10,3,2,9,4,1,8,7,5,6]
[7,6,4,3,1,10,9,8,5,2]=>[10,3,2,1,9,4,8,7,5,6]
[9,5,4,3,1,10,8,7,6,2]=>[2,10,3,9,4,8,7,5,1,6]
[8,5,4,3,1,10,9,7,6,2]=>[2,10,3,9,4,1,8,7,5,6]
[7,5,4,3,1,10,9,8,6,2]=>[2,10,3,1,9,4,8,7,5,6]
[6,5,4,3,1,10,9,8,7,2]=>[2,1,10,3,9,4,8,7,5,6]
[9,7,5,2,1,10,8,6,4,3]=>[3,10,9,8,4,2,7,5,1,6]
[8,7,5,2,1,10,9,6,4,3]=>[3,10,9,8,4,2,1,7,5,6]
[9,6,5,2,1,10,8,7,4,3]=>[3,2,10,9,8,4,7,5,1,6]
[8,6,5,2,1,10,9,7,4,3]=>[3,2,10,9,8,4,1,7,5,6]
[7,6,5,2,1,10,9,8,4,3]=>[3,2,1,10,9,8,4,7,5,6]
[9,7,4,2,1,10,8,6,5,3]=>[10,3,9,8,4,2,7,5,1,6]
[8,7,4,2,1,10,9,6,5,3]=>[10,3,9,8,4,2,1,7,5,6]
[9,6,4,2,1,10,8,7,5,3]=>[10,3,2,9,8,4,7,5,1,6]
[8,6,4,2,1,10,9,7,5,3]=>[10,3,2,9,8,4,1,7,5,6]
[7,6,4,2,1,10,9,8,5,3]=>[10,3,2,1,9,8,4,7,5,6]
[9,5,4,2,1,10,8,7,6,3]=>[2,10,3,9,8,4,7,5,1,6]
[8,5,4,2,1,10,9,7,6,3]=>[2,10,3,9,8,4,1,7,5,6]
[7,5,4,2,1,10,9,8,6,3]=>[2,10,3,1,9,8,4,7,5,6]
[6,5,4,2,1,10,9,8,7,3]=>[2,1,10,3,9,8,4,7,5,6]
[9,7,3,2,1,10,8,6,5,4]=>[10,9,3,8,4,2,7,5,1,6]
[8,7,3,2,1,10,9,6,5,4]=>[10,9,3,8,4,2,1,7,5,6]
[9,6,3,2,1,10,8,7,5,4]=>[10,9,3,2,8,4,7,5,1,6]
[8,6,3,2,1,10,9,7,5,4]=>[10,9,3,2,8,4,1,7,5,6]
[7,6,3,2,1,10,9,8,5,4]=>[10,9,3,2,1,8,4,7,5,6]
[9,5,3,2,1,10,8,7,6,4]=>[2,10,9,3,8,4,7,5,1,6]
[8,5,3,2,1,10,9,7,6,4]=>[2,10,9,3,8,4,1,7,5,6]
[7,5,3,2,1,10,9,8,6,4]=>[2,10,9,3,1,8,4,7,5,6]
[6,5,3,2,1,10,9,8,7,4]=>[2,1,10,9,3,8,4,7,5,6]
[9,4,3,2,1,10,8,7,6,5]=>[10,2,9,3,8,4,7,5,1,6]
[8,4,3,2,1,10,9,7,6,5]=>[10,2,9,3,8,4,1,7,5,6]
[7,4,3,2,1,10,9,8,6,5]=>[10,2,9,3,1,8,4,7,5,6]
[6,4,3,2,1,10,9,8,7,5]=>[10,2,1,9,3,8,4,7,5,6]
[6,1,7,2,8,3,9,4,10,5]=>[10,8,6,4,2,1,3,5,7,9]
[6,1,7,2,8,3,9,10,4,5]=>[9,7,5,3,1,10,2,4,6,8]
[6,1,7,2,8,9,3,4,10,5]=>[10,7,5,3,1,8,2,4,6,9]
[6,1,7,2,8,9,3,10,4,5]=>[9,5,3,1,10,7,2,4,6,8]
[6,1,7,2,8,9,10,3,4,5]=>[8,5,3,1,9,6,10,2,4,7]
[6,1,7,8,2,3,9,4,10,5]=>[10,8,5,3,1,6,2,4,7,9]
[6,1,7,8,2,3,9,10,4,5]=>[9,7,3,1,10,5,2,4,6,8]
[6,1,7,8,2,9,3,4,10,5]=>[10,7,3,1,8,5,2,4,6,9]
[6,1,7,8,2,9,3,10,4,5]=>[9,3,1,10,7,5,2,4,6,8]
[6,1,7,8,2,9,10,3,4,5]=>[8,3,1,9,6,4,10,2,5,7]
[6,1,7,8,9,2,3,4,10,5]=>[10,6,3,1,7,4,8,2,5,9]
[6,1,7,8,9,2,3,10,4,5]=>[9,3,1,10,6,4,7,2,5,8]
[6,1,7,8,9,2,10,3,4,5]=>[8,3,1,9,4,10,6,2,5,7]
[6,1,7,8,9,10,2,3,4,5]=>[7,3,1,8,4,9,5,10,2,6]
[6,7,1,2,8,3,9,4,10,5]=>[10,8,6,3,1,4,2,5,7,9]
[6,7,1,2,8,3,9,10,4,5]=>[9,7,5,1,10,3,2,4,6,8]
[6,7,1,2,8,9,3,4,10,5]=>[10,7,5,1,8,3,2,4,6,9]
[6,7,1,2,8,9,3,10,4,5]=>[9,5,1,10,7,3,2,4,6,8]
[6,7,1,2,8,9,10,3,4,5]=>[8,5,1,9,6,2,10,3,4,7]
[6,7,1,8,2,3,9,4,10,5]=>[10,8,5,1,6,3,2,4,7,9]
[6,7,1,8,2,3,9,10,4,5]=>[9,7,1,10,5,3,2,4,6,8]
[6,7,1,8,2,9,3,4,10,5]=>[10,7,1,8,5,3,2,4,6,9]
[6,7,1,8,2,9,3,10,4,5]=>[9,1,10,7,5,3,2,4,6,8]
[6,7,1,8,2,9,10,3,4,5]=>[8,1,9,6,4,2,10,3,5,7]
[6,7,1,8,9,2,3,4,10,5]=>[10,6,1,7,4,2,8,3,5,9]
[6,7,1,8,9,2,3,10,4,5]=>[9,1,10,6,4,2,7,3,5,8]
[6,7,1,8,9,2,10,3,4,5]=>[8,1,9,4,2,10,6,3,5,7]
[6,7,1,8,9,10,2,3,4,5]=>[7,1,8,4,2,9,5,10,3,6]
[6,7,8,1,2,3,9,4,10,5]=>[10,8,4,1,5,2,6,3,7,9]
[6,7,8,1,2,3,9,10,4,5]=>[9,7,1,10,4,2,5,3,6,8]
[6,7,8,1,2,9,3,4,10,5]=>[10,7,1,8,4,2,5,3,6,9]
[6,7,8,1,2,9,3,10,4,5]=>[9,1,10,7,4,2,5,3,6,8]
[6,7,8,1,2,9,10,3,4,5]=>[8,1,9,6,2,10,4,3,5,7]
[6,7,8,1,9,2,3,4,10,5]=>[10,6,1,7,2,8,4,3,5,9]
[6,7,8,1,9,2,3,10,4,5]=>[9,1,10,6,2,7,4,3,5,8]
[6,7,8,1,9,2,10,3,4,5]=>[8,1,9,2,10,6,4,3,5,7]
[6,7,8,1,9,10,2,3,4,5]=>[7,1,8,2,9,5,3,10,4,6]
[6,7,8,9,1,2,3,4,10,5]=>[10,5,1,6,2,7,3,8,4,9]
[6,7,8,9,1,2,3,10,4,5]=>[9,1,10,5,2,6,3,7,4,8]
[6,7,8,9,1,2,10,3,4,5]=>[8,1,9,2,10,5,3,6,4,7]
[6,7,8,9,1,10,2,3,4,5]=>[7,1,8,2,9,3,10,5,4,6]
[10,9,8,7,6,5,4,2,1,3]=>[9,8,10,7,6,5,4,3,2,1]
[10,9,8,7,6,5,3,2,1,4]=>[9,8,7,10,6,5,4,3,2,1]
[10,9,8,7,6,4,3,2,1,5]=>[9,8,7,6,10,5,4,3,2,1]
[10,9,8,7,5,4,3,2,1,6]=>[9,8,7,6,5,10,4,3,2,1]
[10,9,8,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,10,3,2,1]
[10,9,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,10,2,1]
[10,8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,10,1]
[10,3,1,2,4,5,6,7,8,9]=>[3,4,2,5,6,7,8,9,10,1]
[10,4,1,2,3,5,6,7,8,9]=>[3,4,5,2,6,7,8,9,10,1]
[5,10,1,2,3,4,6,7,8,9]=>[3,4,5,1,6,7,8,9,10,2]
[10,6,1,2,3,4,5,7,8,9]=>[3,4,5,6,7,2,8,9,10,1]
[10,7,1,2,3,4,5,6,8,9]=>[3,4,5,6,7,8,2,9,10,1]
[8,10,1,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,1,9,10,2]
[2,3,10,1,4,5,6,7,8,9]=>[1,2,4,5,6,7,8,9,10,3]
[4,3,1,10,2,5,6,7,8,9]=>[5,2,1,6,7,8,9,10,3,4]
[5,4,1,2,10,3,6,7,8,9]=>[6,7,2,1,8,9,10,3,4,5]
[5,6,1,2,3,10,4,7,8,9]=>[7,8,1,9,2,10,3,4,5,6]
[7,6,1,2,3,4,10,5,8,9]=>[8,9,10,3,4,2,1,5,6,7]
[8,7,1,2,3,4,5,10,6,9]=>[9,10,3,4,5,6,2,1,7,8]
[8,9,1,2,3,4,5,6,10,7]=>[10,3,4,5,6,7,1,8,2,9]
[10,9,8,7,6,5,2,4,1,3]=>[7,9,10,8,6,5,4,3,2,1]
[10,9,8,7,3,6,2,5,1,4]=>[5,7,9,10,8,6,4,3,2,1]
[10,9,8,7,6,3,5,1,2,4]=>[8,6,9,10,7,5,4,3,2,1]
[10,9,4,8,3,7,2,6,1,5]=>[3,5,7,9,10,8,6,4,2,1]
[10,9,8,4,7,3,6,1,2,5]=>[4,8,6,9,10,7,5,3,2,1]
[10,9,8,7,2,4,6,1,3,5]=>[8,5,6,9,10,7,4,3,2,1]
[10,9,8,7,4,6,1,2,3,5]=>[7,8,5,9,10,6,4,3,2,1]
[10,5,9,4,8,3,7,1,2,6]=>[2,4,8,6,9,10,7,5,3,1]
[10,9,5,8,2,4,7,1,3,6]=>[8,5,3,6,9,10,7,4,2,1]
[10,9,5,8,4,7,1,2,3,6]=>[7,3,8,5,9,10,6,4,2,1]
[10,9,8,3,5,7,1,2,4,6]=>[4,7,8,5,9,10,6,3,2,1]
[10,9,8,5,7,1,2,3,4,6]=>[6,7,8,4,9,10,5,3,2,1]
[6,10,5,9,2,4,8,1,3,7]=>[1,8,5,3,6,9,10,7,4,2]
[6,10,5,9,4,8,1,2,3,7]=>[1,7,3,8,5,9,10,6,4,2]
[10,3,6,9,2,5,8,1,4,7]=>[8,5,2,3,6,9,10,7,4,1]
[10,6,9,3,5,8,1,2,4,7]=>[4,7,2,8,5,9,10,6,3,1]
[10,6,9,5,8,1,2,3,4,7]=>[6,7,2,8,4,9,10,5,3,1]
[10,9,2,4,6,8,1,3,5,7]=>[4,7,8,3,5,9,10,6,2,1]
[10,9,4,6,8,1,2,3,5,7]=>[6,3,7,8,4,9,10,5,2,1]
[10,9,6,8,1,2,3,4,5,7]=>[5,6,7,8,3,9,10,4,2,1]
[4,7,10,3,6,9,1,2,5,8]=>[4,7,1,2,8,5,9,10,6,3]
[7,10,2,4,6,9,1,3,5,8]=>[4,7,8,3,1,5,9,10,6,2]
[7,10,4,6,9,1,2,3,5,8]=>[6,3,7,1,8,4,9,10,5,2]
[7,10,6,9,1,2,3,4,5,8]=>[5,6,7,1,8,3,9,10,4,2]
[10,3,5,7,9,1,2,4,6,8]=>[6,2,3,7,8,4,9,10,5,1]
[10,5,7,9,1,2,3,4,6,8]=>[5,6,2,7,8,3,9,10,4,1]
[10,7,9,1,2,3,4,5,6,8]=>[4,5,6,7,8,2,9,10,3,1]
[4,6,8,10,1,2,3,5,7,9]=>[1,5,6,2,7,8,3,9,10,4]
[6,8,10,1,2,3,4,5,7,9]=>[4,5,6,1,7,8,2,9,10,3]
[10,7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,10,8,9,1]
[8,7,6,5,4,3,2,10,9,1]=>[6,5,4,3,2,1,10,7,9,8]
[10,1,2,3,4,6,5,7,8,9]=>[7,2,3,4,5,6,8,9,10,1]
[2,3,4,5,7,6,8,9,10,1]=>[6,1,2,3,4,5,7,8,10,9]
[9,10,5,6,7,8,3,4,1,2]=>[3,4,9,7,5,1,10,8,6,2]
[5,8,9,6,7,10,3,4,1,2]=>[4,2,9,1,7,5,3,10,8,6]
[9,10,7,8,3,4,5,6,1,2]=>[5,6,9,7,3,1,10,8,4,2]
[9,10,3,6,7,4,5,8,1,2]=>[6,4,9,3,7,5,1,10,8,2]
[3,8,9,6,7,4,5,10,1,2]=>[6,4,2,9,7,1,5,3,10,8]
[3,6,7,8,9,4,5,10,1,2]=>[2,3,6,4,9,1,7,5,10,8]
[9,10,3,4,5,6,7,8,1,2]=>[3,4,5,6,9,7,1,10,8,2]
[3,8,9,4,5,6,7,10,1,2]=>[4,5,6,2,9,1,7,3,10,8]
[3,4,7,8,5,6,9,10,1,2]=>[5,3,6,1,2,4,9,7,10,8]
[7,8,9,10,5,6,1,2,3,4]=>[7,1,8,2,9,5,3,10,6,4]
[5,8,9,6,7,10,1,2,3,4]=>[7,8,1,4,2,9,5,3,10,6]
[9,10,7,8,1,4,5,2,3,6]=>[8,6,9,5,7,3,1,10,4,2]
[7,8,9,10,1,4,5,2,3,6]=>[8,6,1,9,5,2,7,3,10,4]
[9,10,1,6,7,4,5,2,3,8]=>[8,6,4,9,7,3,5,1,10,2]
[1,8,9,6,7,4,5,2,3,10]=>[8,6,4,2,9,7,5,1,3,10]
[1,6,7,8,9,4,5,2,3,10]=>[2,3,8,6,4,9,7,1,5,10]
[9,10,1,4,5,6,7,2,3,8]=>[4,5,8,6,9,3,7,1,10,2]
[1,8,9,4,5,6,7,2,3,10]=>[4,5,8,6,2,9,7,1,3,10]
[1,4,7,8,5,6,9,2,3,10]=>[5,3,8,2,6,4,9,1,7,10]
[1,4,5,6,7,8,9,2,3,10]=>[2,3,4,5,8,6,9,1,7,10]
[9,10,1,6,7,2,3,4,5,8]=>[6,7,8,4,9,3,5,1,10,2]
[1,8,9,6,7,2,3,4,5,10]=>[6,7,8,4,2,9,5,1,3,10]
[1,6,7,8,9,2,3,4,5,10]=>[6,2,7,3,8,4,9,1,5,10]
[9,10,1,2,5,6,3,4,7,8]=>[7,5,8,3,4,6,9,1,10,2]
[1,8,9,2,5,6,3,4,7,10]=>[7,5,8,4,6,2,9,1,3,10]
[1,2,7,8,5,6,3,4,9,10]=>[7,5,3,8,6,1,2,4,9,10]
[1,2,5,6,7,8,3,4,9,10]=>[3,4,7,5,8,1,2,6,9,10]
[1,8,9,2,3,4,5,6,7,10]=>[4,5,6,7,8,2,9,1,3,10]
[1,2,7,8,3,4,5,6,9,10]=>[5,6,7,3,8,1,2,4,9,10]
[1,2,3,6,7,4,5,8,9,10]=>[6,4,7,1,2,3,5,8,9,10]
[9,8,7,6,4,5,3,2,1,10]=>[5,9,8,7,6,4,3,2,1,10]
[1,10,9,8,7,5,6,4,3,2]=>[6,10,9,8,7,5,4,3,1,2]
[8,7,9,6,5,4,3,2,1,10]=>[2,1,9,8,7,6,5,4,3,10]
[8,7,6,9,5,4,3,2,1,10]=>[3,2,1,9,8,7,6,5,4,10]
[8,7,6,5,10,4,3,2,1,9]=>[4,3,2,1,9,8,7,6,10,5]
[8,7,6,5,4,9,3,2,1,10]=>[5,4,3,2,1,9,8,7,6,10]
[8,7,6,5,4,3,9,2,1,10]=>[6,5,4,3,2,1,9,8,7,10]
[7,10,9,6,5,4,3,2,1,8]=>[9,1,8,7,6,5,4,10,3,2]
[8,6,9,10,5,4,3,2,1,7]=>[9,2,1,8,7,6,5,3,10,4]
[8,7,5,9,10,4,3,2,1,6]=>[9,3,2,1,8,7,6,4,10,5]
[8,7,6,4,10,9,3,2,1,5]=>[9,4,3,2,1,8,7,10,6,5]
[8,7,6,5,3,9,10,2,1,4]=>[9,5,4,3,2,1,8,6,10,7]
[8,7,6,5,4,2,9,10,1,3]=>[9,6,5,4,3,2,1,7,10,8]
[8,7,6,5,4,3,1,10,9,2]=>[6,5,4,3,2,1,10,9,7,8]
[2,3,4,5,6,7,9,10,8,1]=>[7,10,1,2,3,4,5,6,9,8]
[2,3,4,5,6,8,9,10,7,1]=>[6,7,10,1,2,3,4,5,9,8]
[2,3,4,6,7,8,9,10,5,1]=>[4,5,6,7,10,1,2,3,9,8]
[2,3,5,6,7,8,9,10,4,1]=>[3,4,5,6,7,10,1,2,9,8]
[2,3,4,5,6,7,10,1,8,9]=>[1,2,3,4,5,6,8,9,10,7]
[2,3,4,5,6,9,1,10,8,7]=>[10,9,1,2,3,4,5,7,6,8]
[2,3,4,5,8,1,9,10,7,6]=>[7,5,10,1,2,3,4,9,6,8]
[2,3,4,7,1,8,9,10,5,6]=>[6,4,9,1,2,3,7,10,5,8]
[2,3,6,1,7,8,9,10,5,4]=>[5,3,6,7,10,1,2,9,4,8]
[2,5,1,6,7,8,9,10,4,3]=>[4,2,5,6,7,10,1,9,3,8]
[4,1,5,6,7,8,9,10,2,3]=>[3,1,4,5,6,9,7,10,2,8]
[2,10,9,8,7,6,5,4,1,3]=>[9,10,8,7,6,5,4,1,3,2]
[9,1,10,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,2,1,3]
[9,1,2,3,4,5,6,10,7,8]=>[9,10,2,3,4,5,6,7,1,8]
[9,1,2,3,4,5,10,6,7,8]=>[8,9,10,2,3,4,5,6,1,7]
[9,1,2,3,10,4,5,6,7,8]=>[6,7,8,9,10,2,3,4,1,5]
[9,1,2,10,3,4,5,6,7,8]=>[5,6,7,8,9,10,2,3,1,4]
[9,2,1,8,7,6,5,4,3,10]=>[9,8,7,6,2,5,3,4,1,10]
[3,2,9,8,7,6,5,4,1,10]=>[9,8,7,6,1,5,2,4,3,10]
[9,3,1,8,7,6,5,4,10,2]=>[8,7,6,2,5,4,10,3,1,9]
[9,2,10,1,7,6,5,4,3,8]=>[9,8,7,6,2,4,5,1,10,3]
[4,2,9,8,7,6,5,10,1,3]=>[9,7,6,1,5,4,2,3,10,8]
[3,10,2,8,7,6,5,4,1,9]=>[9,8,7,6,1,3,5,4,10,2]
[8,9,2,3,4,5,6,7,10,1]=>[3,4,5,6,7,1,8,2,10,9]
[2,9,10,3,4,5,6,7,8,1]=>[4,5,6,7,8,2,10,1,9,3]
[8,1,9,3,4,5,6,7,10,2]=>[4,5,6,7,8,3,1,10,2,9]
[7,9,2,3,4,5,6,1,10,8]=>[3,4,5,6,1,7,10,8,2,9]
[2,9,1,10,4,5,6,7,8,3]=>[5,6,7,8,10,9,1,3,2,4]
[2,8,10,3,4,5,6,7,1,9]=>[4,5,6,7,2,9,1,8,10,3]
[9,8,7,6,5,4,3,1,2,10]=>[8,9,7,6,5,4,3,2,1,10]
[1,10,9,8,7,6,5,4,2,3]=>[9,10,8,7,6,5,4,3,1,2]
[1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]
[3,2,1,10,9,8,7,6,5,4]=>[10,9,8,7,1,6,2,5,3,4]
[1,3,2,10,9,8,7,6,5,4]=>[10,9,8,7,6,2,5,1,3,4]
[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]
[1,4,3,2,10,9,8,7,6,5]=>[10,9,8,2,7,3,6,1,4,5]
[1,2,4,3,10,9,8,7,6,5]=>[10,9,8,7,3,6,1,2,4,5]
[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]
[1,5,4,3,2,10,9,8,7,6]=>[10,2,9,3,8,4,7,1,5,6]
[2,1,5,4,3,10,9,8,7,6]=>[10,9,3,8,1,4,7,2,5,6]
[1,2,5,4,3,10,9,8,7,6]=>[10,9,3,8,4,7,1,2,5,6]
[1,3,2,5,4,10,9,8,7,6]=>[10,9,8,2,4,7,1,3,5,6]
[1,2,3,5,4,10,9,8,7,6]=>[10,9,8,4,7,1,2,3,5,6]
[1,2,6,5,4,3,10,9,8,7]=>[3,10,4,9,5,8,1,2,6,7]
[3,2,1,6,5,4,10,9,8,7]=>[10,1,4,9,2,5,8,3,6,7]
[1,3,2,6,5,4,10,9,8,7]=>[10,4,9,2,5,8,1,3,6,7]
[1,2,3,6,5,4,10,9,8,7]=>[10,4,9,5,8,1,2,3,6,7]
[1,2,4,3,6,5,10,9,8,7]=>[10,9,3,5,8,1,2,4,6,7]
[1,2,3,4,6,5,10,9,8,7]=>[10,9,5,8,1,2,3,4,6,7]
[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7]
[1,4,3,2,7,6,5,10,9,8]=>[2,5,10,3,6,9,1,4,7,8]
[2,1,4,3,7,6,5,10,9,8]=>[5,10,1,3,6,9,2,4,7,8]
[1,2,4,3,7,6,5,10,9,8]=>[5,10,3,6,9,1,2,4,7,8]
[1,2,3,4,7,6,5,10,9,8]=>[5,10,6,9,1,2,3,4,7,8]
[1,3,2,5,4,7,6,10,9,8]=>[10,2,4,6,9,1,3,5,7,8]
[1,2,3,5,4,7,6,10,9,8]=>[10,4,6,9,1,2,3,5,7,8]
[1,2,3,4,5,7,6,10,9,8]=>[10,6,9,1,2,3,4,5,7,8]
[1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]
[1,2,4,3,6,5,8,7,10,9]=>[3,5,7,10,1,2,4,6,8,9]
[1,2,3,4,6,5,8,7,10,9]=>[5,7,10,1,2,3,4,6,8,9]
[1,2,3,4,5,6,8,7,10,9]=>[7,10,1,2,3,4,5,6,8,9]
[10,9,8,7,6,5,2,1,4,3]=>[7,10,8,9,6,5,4,3,2,1]
[10,9,8,7,3,2,1,6,5,4]=>[5,10,6,9,7,8,4,3,2,1]
[10,9,8,7,6,3,1,5,2,4]=>[9,6,10,7,8,5,4,3,2,1]
[10,9,4,3,2,1,8,7,6,5]=>[3,10,4,9,5,8,6,7,2,1]
[10,9,8,4,3,1,7,6,2,5]=>[5,4,9,10,8,6,7,3,2,1]
[10,9,8,7,2,1,4,3,6,5]=>[5,7,10,6,8,9,4,3,2,1]
[10,9,8,7,4,1,6,2,3,5]=>[8,9,5,10,6,7,4,3,2,1]
[10,5,4,3,1,9,8,7,2,6]=>[3,2,9,10,4,8,7,5,6,1]
[10,9,5,2,1,8,4,3,7,6]=>[7,10,4,3,8,9,5,6,2,1]
[10,9,5,4,1,8,7,2,3,6]=>[8,4,3,9,10,7,5,6,2,1]
[10,9,8,3,1,5,2,7,4,6]=>[4,9,6,10,5,7,8,3,2,1]
[6,5,2,1,10,9,4,3,8,7]=>[7,2,1,10,8,9,3,6,4,5]
[6,5,4,1,10,9,8,2,3,7]=>[3,2,1,8,9,10,7,6,4,5]
[10,3,2,1,6,5,4,9,8,7]=>[2,5,10,3,6,9,4,7,8,1]
[10,6,5,1,9,8,2,3,4,7]=>[7,8,3,2,9,10,6,4,5,1]
[10,9,2,1,4,3,6,5,8,7]=>[3,5,7,10,4,6,8,9,2,1]
[10,9,6,1,8,2,3,4,5,7]=>[6,7,8,9,3,10,4,5,2,1]
[4,3,1,7,6,2,10,9,5,8]=>[1,5,2,4,9,10,8,3,6,7]
[7,2,1,10,4,3,6,5,9,8]=>[5,7,10,2,6,1,8,9,3,4]
[7,4,1,10,6,2,9,3,5,8]=>[2,8,9,5,1,10,6,7,3,4]
[7,6,1,10,9,2,3,4,5,8]=>[6,7,8,2,1,9,10,5,3,4]
[10,5,1,7,2,9,3,4,6,8]=>[7,8,2,9,4,10,3,5,6,1]
[10,7,1,9,2,3,4,5,6,8]=>[5,6,7,8,9,2,10,3,4,1]
[4,1,6,2,8,3,10,5,7,9]=>[1,8,3,9,5,10,2,4,6,7]
[6,1,8,2,10,3,4,5,7,9]=>[6,7,8,1,9,3,10,2,4,5]
[8,1,10,2,3,4,5,6,7,9]=>[4,5,6,7,8,9,1,10,2,3]
[10,1,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,2,3,1]
[8,1,10,9,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,2,3]
[7,1,10,9,8,6,5,4,3,2]=>[10,1,9,8,7,6,5,4,2,3]
[6,1,10,9,8,7,5,4,3,2]=>[10,9,1,8,7,6,5,4,2,3]
[5,1,10,9,8,7,6,4,3,2]=>[10,9,8,1,7,6,5,4,2,3]
[4,1,10,9,8,7,6,5,3,2]=>[10,9,8,7,1,6,5,4,2,3]
[3,1,10,9,8,7,6,5,4,2]=>[10,9,8,7,6,1,5,4,2,3]
[9,10,7,8,5,6,2,1,3,4]=>[8,7,9,5,3,1,10,6,4,2]
[9,10,7,8,4,3,5,6,1,2]=>[6,5,9,7,3,1,10,8,4,2]
[9,10,7,8,4,2,5,1,3,6]=>[6,8,5,9,7,3,1,10,4,2]
[9,10,7,8,3,2,1,4,5,6]=>[7,6,5,8,9,3,1,10,4,2]
[9,10,6,5,7,8,3,4,1,2]=>[4,3,9,7,5,1,10,8,6,2]
[9,10,6,5,7,8,2,1,3,4]=>[8,7,4,3,9,5,1,10,6,2]
[9,10,6,4,7,3,5,8,1,2]=>[4,6,3,9,7,5,1,10,8,2]
[9,10,6,4,7,2,5,1,3,8]=>[6,4,8,3,9,7,5,1,10,2]
[9,10,6,3,7,2,1,4,5,8]=>[4,7,6,8,3,9,5,1,10,2]
[9,10,5,4,3,6,7,8,1,2]=>[5,4,3,6,9,7,1,10,8,2]
[9,10,5,4,2,6,7,1,3,8]=>[8,5,4,3,6,9,7,1,10,2]
[9,10,5,3,2,6,1,4,7,8]=>[5,4,7,3,8,6,9,1,10,2]
[9,10,4,3,2,1,5,6,7,8]=>[6,5,4,3,7,8,9,1,10,2]
[8,7,9,10,5,6,3,4,1,2]=>[2,1,9,7,5,3,10,8,6,4]
[8,7,9,10,5,6,2,1,3,4]=>[8,7,2,1,9,5,3,10,6,4]
[8,7,9,10,4,3,5,6,1,2]=>[6,5,2,1,9,7,3,10,8,4]
[8,7,9,10,4,2,5,1,3,6]=>[6,8,5,2,1,9,7,3,10,4]
[8,7,9,10,3,2,1,4,5,6]=>[7,6,5,8,2,1,9,3,10,4]
[8,6,9,5,7,10,3,4,1,2]=>[2,4,1,9,7,5,3,10,8,6]
[8,6,9,5,7,10,2,1,3,4]=>[2,8,7,4,1,9,5,3,10,6]
[8,6,9,4,7,3,5,10,1,2]=>[4,2,6,1,9,7,5,3,10,8]
[8,6,9,3,7,2,1,4,5,10]=>[4,7,6,2,8,1,9,5,3,10]
[8,5,9,4,3,6,7,10,1,2]=>[2,5,4,6,1,9,7,3,10,8]
[8,5,9,4,2,6,7,1,3,10]=>[2,8,5,4,6,1,9,7,3,10]
[8,5,9,3,2,6,1,4,7,10]=>[5,4,2,7,8,6,1,9,3,10]
[8,4,9,3,2,1,5,6,7,10]=>[2,6,5,4,7,8,1,9,3,10]
[7,6,5,8,9,10,3,4,1,2]=>[3,2,1,4,9,7,5,10,8,6]
[7,6,5,8,9,10,2,1,3,4]=>[3,2,1,8,7,4,9,5,10,6]
[7,6,4,8,9,3,5,10,1,2]=>[6,3,2,1,4,9,7,5,10,8]
[7,6,4,8,9,2,5,1,3,10]=>[3,6,2,1,8,4,9,7,5,10]
[7,6,3,8,9,2,1,4,5,10]=>[7,3,6,2,1,8,4,9,5,10]
[7,5,4,8,3,6,9,10,1,2]=>[3,2,5,1,6,4,9,7,10,8]
[7,5,4,8,2,6,9,1,3,10]=>[3,2,8,5,1,6,4,9,7,10]
[7,4,3,8,2,1,5,6,9,10]=>[3,2,6,5,7,1,8,4,9,10]
[6,5,4,3,7,8,9,10,1,2]=>[4,3,2,1,5,6,9,7,10,8]
[6,5,4,2,7,8,9,1,3,10]=>[5,3,2,1,8,4,6,9,7,10]
[6,5,3,2,7,8,1,4,9,10]=>[3,7,4,2,1,5,8,6,9,10]
[1,3,2,7,6,5,10,9,8,4]=>[4,10,5,9,2,6,8,1,3,7]
[1,4,3,6,5,2,10,9,8,7]=>[10,2,4,9,3,5,8,1,6,7]
[1,4,3,7,6,2,10,9,8,5]=>[4,10,2,5,9,3,8,1,6,7]
[1,5,4,7,6,3,10,9,8,2]=>[2,4,10,3,5,9,6,8,1,7]
[1,4,3,8,7,2,10,9,6,5]=>[5,4,10,2,9,3,8,1,6,7]
[1,5,4,8,7,3,10,9,6,2]=>[5,2,4,10,3,9,6,8,1,7]
[2,3,1,6,5,4,10,9,8,7]=>[10,4,9,1,2,5,8,3,6,7]
[2,3,1,7,6,5,10,9,8,4]=>[4,10,5,9,1,2,6,8,3,7]
[2,4,1,6,5,3,10,9,8,7]=>[10,2,4,9,1,5,8,3,6,7]
[2,4,1,7,6,3,10,9,8,5]=>[4,10,2,5,9,1,8,3,6,7]
[2,5,1,7,6,4,10,9,8,3]=>[2,4,10,5,9,1,6,8,3,7]
[2,4,1,8,7,3,10,9,6,5]=>[5,4,10,2,9,1,8,3,6,7]
[2,5,1,8,7,4,10,9,6,3]=>[5,2,4,10,9,1,6,8,3,7]
[3,4,2,6,5,1,10,9,8,7]=>[10,1,2,4,9,3,5,8,6,7]
[3,4,2,7,6,1,10,9,8,5]=>[4,10,1,2,5,9,3,8,6,7]
[3,5,2,7,6,1,10,9,8,4]=>[2,4,10,1,5,9,3,8,6,7]
[4,5,3,7,6,2,10,9,8,1]=>[1,2,4,10,3,5,9,6,8,7]
[3,4,2,8,7,1,10,9,6,5]=>[5,4,10,1,2,9,3,8,6,7]
[3,5,2,8,7,1,10,9,6,4]=>[5,2,4,10,1,9,3,8,6,7]
[4,5,3,8,7,2,10,9,6,1]=>[5,1,2,4,10,3,9,6,8,7]
[2,5,1,6,4,3,10,9,8,7]=>[2,10,4,9,1,5,8,3,6,7]
[2,5,1,7,4,3,10,9,8,6]=>[2,4,10,9,1,5,8,3,6,7]
[2,6,1,7,5,4,10,9,8,3]=>[4,2,10,5,9,1,6,8,3,7]
[2,5,1,8,4,3,10,9,7,6]=>[10,2,9,5,1,4,8,3,6,7]
[2,6,1,8,5,4,10,9,7,3]=>[2,10,5,4,9,1,6,8,3,7]
[3,5,2,6,4,1,10,9,8,7]=>[2,10,1,4,9,3,5,8,6,7]
[3,5,2,7,4,1,10,9,8,6]=>[2,4,10,1,9,3,5,8,6,7]
[3,6,2,7,5,1,10,9,8,4]=>[4,2,10,1,5,9,3,8,6,7]
[4,6,3,7,5,2,10,9,8,1]=>[4,1,2,10,3,5,9,6,8,7]
[3,5,2,8,4,1,10,9,7,6]=>[10,2,9,1,5,3,4,8,6,7]
[3,6,2,8,5,1,10,9,7,4]=>[2,10,5,1,4,9,3,8,6,7]
[4,6,3,8,5,2,10,9,7,1]=>[2,10,1,5,3,4,9,6,8,7]
[3,7,2,8,6,1,10,9,5,4]=>[5,4,2,10,1,9,3,8,6,7]
[4,7,3,8,6,2,10,9,5,1]=>[5,4,1,2,10,3,9,6,8,7]
[2,5,1,9,4,3,10,8,7,6]=>[10,2,9,5,8,1,6,3,4,7]
[2,6,1,9,5,4,10,8,7,3]=>[2,10,5,9,6,1,4,8,3,7]
[3,5,2,9,4,1,10,8,7,6]=>[10,2,9,1,5,8,3,6,4,7]
[3,6,2,9,5,1,10,8,7,4]=>[2,10,5,9,1,8,3,6,4,7]
[4,6,3,9,5,2,10,8,7,1]=>[2,10,1,5,9,3,6,4,8,7]
[3,7,2,9,6,1,10,8,5,4]=>[5,2,10,9,1,8,3,6,4,7]
[10,1,2,3,4,5,6,7,9,8]=>[10,2,3,4,5,6,7,8,9,1]
[2,3,4,5,6,7,8,10,9,1]=>[10,1,2,3,4,5,6,7,9,8]
[3,2,10,9,8,7,6,5,4,1]=>[10,9,8,7,6,1,5,2,4,3]
[10,2,1,9,8,7,6,5,4,3]=>[10,9,8,7,6,2,5,3,4,1]
[2,3,4,6,5,7,8,9,10,1]=>[5,1,2,3,4,6,7,8,10,9]
[10,1,2,3,5,4,6,7,8,9]=>[6,2,3,4,5,7,8,9,10,1]
[9,7,10,8,5,6,3,4,1,2]=>[2,9,7,5,1,10,8,6,4,3]
[9,7,10,5,8,6,3,4,1,2]=>[4,2,9,7,1,10,8,6,5,3]
[9,7,10,5,8,3,6,4,1,2]=>[6,4,2,9,1,10,8,7,5,3]
[9,7,10,5,8,3,6,2,4,1]=>[6,4,2,8,1,10,9,7,5,3]
[9,7,10,5,8,4,6,2,3,1]=>[4,2,8,6,1,10,9,7,5,3]
[9,7,10,6,8,4,5,2,3,1]=>[2,8,6,4,1,10,9,7,5,3]
[9,8,10,6,7,4,5,2,3,1]=>[8,6,4,2,1,10,9,7,5,3]
[1,10,9,8,7,6,5,2,4,3]=>[10,8,9,7,6,5,4,3,1,2]
[1,10,9,8,7,6,2,5,4,3]=>[10,9,7,8,6,5,4,3,1,2]
[2,10,9,8,7,1,6,5,4,3]=>[10,9,8,6,7,5,4,1,3,2]
[1,10,9,8,2,7,6,5,4,3]=>[10,9,8,7,5,6,4,3,1,2]
[1,10,9,2,8,7,6,5,4,3]=>[10,9,8,7,6,4,5,3,1,2]
[2,10,1,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,1,3,4,2]
[3,10,9,8,7,6,5,2,1,4]=>[9,8,10,7,6,5,1,4,3,2]
[4,10,9,8,7,6,1,2,5,3]=>[10,7,8,9,6,1,5,4,3,2]
[5,10,9,8,7,1,2,6,4,3]=>[10,9,1,6,7,8,5,4,3,2]
[6,10,9,8,2,1,7,5,4,3]=>[10,1,9,5,8,6,7,4,3,2]
[7,10,9,1,2,8,6,5,4,3]=>[1,10,9,8,7,4,5,6,3,2]
[8,10,1,2,9,7,6,5,4,3]=>[10,9,8,7,6,3,1,4,5,2]
[9,2,1,10,8,7,6,5,4,3]=>[10,9,8,7,6,2,5,3,1,4]
[10,2,1,4,3,6,5,8,7,9]=>[2,4,6,9,3,5,7,8,10,1]
[10,2,1,4,3,6,5,7,9,8]=>[2,4,6,10,3,5,7,8,9,1]
[10,2,1,4,3,5,7,8,6,9]=>[2,4,7,9,3,5,6,8,10,1]
[10,2,1,4,3,5,7,6,9,8]=>[2,4,7,10,3,5,6,8,9,1]
[10,2,1,4,3,5,6,8,9,7]=>[2,4,8,10,3,5,6,7,9,1]
[10,2,1,3,5,6,4,8,7,9]=>[2,5,6,9,3,4,7,8,10,1]
[10,2,1,3,5,6,4,7,9,8]=>[2,5,6,10,3,4,7,8,9,1]
[10,2,1,3,5,4,7,8,6,9]=>[2,5,7,9,3,4,6,8,10,1]
[10,2,1,3,5,4,7,6,9,8]=>[2,5,7,10,3,4,6,8,9,1]
[10,2,1,3,5,4,6,8,9,7]=>[2,5,8,10,3,4,6,7,9,1]
[10,2,1,3,4,6,7,8,5,9]=>[2,6,7,9,3,4,5,8,10,1]
[10,2,1,3,4,6,7,5,9,8]=>[2,6,7,10,3,4,5,8,9,1]
[10,2,1,3,4,6,5,8,9,7]=>[2,6,8,10,3,4,5,7,9,1]
[10,2,1,3,4,5,7,8,9,6]=>[2,7,8,10,3,4,5,6,9,1]
[10,1,3,4,2,6,5,8,7,9]=>[3,4,6,9,2,5,7,8,10,1]
[10,1,3,4,2,6,5,7,9,8]=>[3,4,6,10,2,5,7,8,9,1]
[10,1,3,4,2,5,7,8,6,9]=>[3,4,7,9,2,5,6,8,10,1]
[10,1,3,4,2,5,7,6,9,8]=>[3,4,7,10,2,5,6,8,9,1]
[10,1,3,4,2,5,6,8,9,7]=>[3,4,8,10,2,5,6,7,9,1]
[10,1,3,2,5,6,4,8,7,9]=>[3,5,6,9,2,4,7,8,10,1]
[10,1,3,2,5,6,4,7,9,8]=>[3,5,6,10,2,4,7,8,9,1]
[10,1,3,2,5,4,7,8,6,9]=>[3,5,7,9,2,4,6,8,10,1]
[10,1,3,2,5,4,7,6,9,8]=>[3,5,7,10,2,4,6,8,9,1]
[10,1,3,2,5,4,6,8,9,7]=>[3,5,8,10,2,4,6,7,9,1]
[10,1,3,2,4,6,7,8,5,9]=>[3,6,7,9,2,4,5,8,10,1]
[10,1,3,2,4,6,7,5,9,8]=>[3,6,7,10,2,4,5,8,9,1]
[10,1,3,2,4,6,5,8,9,7]=>[3,6,8,10,2,4,5,7,9,1]
[10,1,3,2,4,5,7,8,9,6]=>[3,7,8,10,2,4,5,6,9,1]
[10,1,2,4,5,6,3,8,7,9]=>[4,5,6,9,2,3,7,8,10,1]
[10,1,2,4,5,6,3,7,9,8]=>[4,5,6,10,2,3,7,8,9,1]
[10,1,2,4,5,3,7,8,6,9]=>[4,5,7,9,2,3,6,8,10,1]
[10,1,2,4,5,3,7,6,9,8]=>[4,5,7,10,2,3,6,8,9,1]
[10,1,2,4,5,3,6,8,9,7]=>[4,5,8,10,2,3,6,7,9,1]
[10,1,2,4,3,6,7,8,5,9]=>[4,6,7,9,2,3,5,8,10,1]
[10,1,2,4,3,6,7,5,9,8]=>[4,6,7,10,2,3,5,8,9,1]
[10,1,2,4,3,6,5,8,9,7]=>[4,6,8,10,2,3,5,7,9,1]
[10,1,2,4,3,5,7,8,9,6]=>[4,7,8,10,2,3,5,6,9,1]
[10,1,2,3,5,6,7,8,4,9]=>[5,6,7,9,2,3,4,8,10,1]
[10,1,2,3,5,6,7,4,9,8]=>[5,6,7,10,2,3,4,8,9,1]
[10,1,2,3,5,6,4,8,9,7]=>[5,6,8,10,2,3,4,7,9,1]
[10,1,2,3,5,4,7,8,9,6]=>[5,7,8,10,2,3,4,6,9,1]
[10,1,2,3,4,6,7,8,9,5]=>[6,7,8,10,2,3,4,5,9,1]
[6,7,8,9,1,2,3,4,5,10]=>[5,6,1,7,2,8,3,9,4,10]
[1,7,8,9,10,2,3,4,5,6]=>[6,7,2,8,3,9,4,10,1,5]
[5,6,7,8,9,1,2,3,4,10]=>[1,6,2,7,3,8,4,9,5,10]
[1,6,7,8,9,10,2,3,4,5]=>[2,7,3,8,4,9,5,10,1,6]
[1,2,4,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]
[1,2,4,6,8,10,9,7,5,3]=>[10,5,9,4,8,3,7,1,2,6]
[2,4,1,5,6,7,8,9,10,3]=>[4,1,2,5,6,7,8,10,3,9]
[2,3,4,5,6,7,9,1,10,8]=>[10,1,2,3,4,5,6,8,7,9]
[2,3,5,1,6,7,8,9,10,4]=>[5,1,2,3,6,7,8,10,4,9]
[2,3,4,5,6,8,1,9,10,7]=>[8,1,2,3,4,5,6,10,7,9]
[2,3,4,6,1,7,8,9,10,5]=>[6,1,2,3,4,7,8,10,5,9]
[2,3,4,5,7,1,8,9,10,6]=>[7,1,2,3,4,5,8,10,6,9]
[4,1,2,5,6,7,8,9,10,3]=>[4,5,1,6,7,8,10,2,3,9]
[4,3,1,5,6,7,8,10,2,9]=>[4,2,1,5,6,7,9,10,3,8]
[2,6,1,5,3,7,8,9,10,4]=>[6,4,7,1,2,8,10,3,5,9]
[5,3,4,1,6,7,9,2,10,8]=>[2,3,1,10,5,6,8,4,7,9]
[2,3,8,1,6,7,4,9,10,5]=>[5,8,6,10,1,2,4,3,7,9]
[6,3,4,5,1,8,2,9,10,7]=>[2,3,4,1,8,6,10,5,7,9]
[2,3,4,10,1,7,8,9,5,6]=>[6,9,7,10,1,2,3,5,8,4]
[9,2,1,3,4,5,6,7,8,10]=>[3,2,4,5,6,7,8,9,1,10]
[8,7,2,4,6,10,1,3,5,9]=>[4,7,8,3,5,2,1,9,10,6]
[2,10,7,9,4,6,8,1,3,5]=>[5,8,3,9,6,10,7,1,4,2]
[6,5,2,4,8,10,1,3,7,9]=>[4,7,2,1,8,3,5,9,10,6]
[2,8,5,7,4,6,10,1,3,9]=>[3,5,8,6,4,1,2,9,10,7]
[10,5,2,4,7,9,6,8,1,3]=>[5,2,9,4,7,10,3,8,6,1]
[10,9,2,8,5,7,4,6,1,3]=>[5,9,7,10,8,3,6,4,2,1]
[8,7,6,5,2,4,10,1,3,9]=>[8,5,6,4,3,2,1,9,10,7]
[10,7,2,6,5,9,4,8,1,3]=>[5,4,9,7,2,10,3,8,6,1]
[6,10,5,9,8,7,2,4,1,3]=>[1,3,7,9,10,8,6,5,4,2]
[4,10,3,9,2,6,8,1,5,7]=>[8,1,3,5,6,9,10,7,4,2]
[4,3,10,7,9,2,6,8,1,5]=>[9,6,1,4,7,10,2,8,5,3]
[3,6,2,5,4,8,10,1,7,9]=>[4,8,1,3,2,5,6,9,10,7]
[3,6,10,2,5,9,4,8,1,7]=>[5,2,7,9,10,1,4,8,6,3]
[3,5,8,2,4,7,6,10,1,9]=>[2,7,1,4,5,6,3,9,10,8]
[3,5,7,10,2,4,6,9,8,1]=>[10,2,5,1,3,6,7,9,8,4]
[10,9,3,5,8,2,4,7,6,1]=>[4,10,3,6,7,9,8,5,2,1]
[8,7,3,6,2,5,4,10,1,9]=>[7,3,5,6,4,2,1,9,10,8]
[7,6,3,5,10,2,4,9,8,1]=>[4,10,3,2,1,6,7,9,8,5]
[3,6,10,9,8,2,5,7,4,1]=>[7,10,2,6,9,8,1,5,4,3]
[10,9,8,7,3,6,2,5,4,1]=>[10,5,7,9,8,6,4,3,2,1]
[5,4,3,8,2,7,6,10,1,9]=>[2,1,7,3,5,6,4,9,10,8]
[5,4,3,7,10,2,6,9,8,1]=>[2,1,4,10,3,6,7,9,8,5]
[5,10,4,9,3,8,2,7,6,1]=>[10,1,3,5,7,9,8,6,4,2]
[4,8,3,7,6,5,2,10,1,9]=>[7,6,1,3,5,4,2,9,10,8]
[4,7,3,6,5,10,2,9,8,1]=>[4,10,1,3,2,5,7,9,8,6]
[4,6,10,3,5,9,8,7,2,1]=>[10,2,9,1,4,5,8,7,6,3]
[10,9,4,8,3,7,6,5,2,1]=>[10,9,3,5,8,7,6,4,2,1]
[7,6,5,4,3,10,2,9,8,1]=>[4,3,2,1,10,5,7,9,8,6]
[6,5,4,10,3,9,8,7,2,1]=>[1,10,2,9,3,5,8,7,6,4]
[5,10,4,9,8,7,6,3,2,1]=>[10,9,8,1,3,7,6,5,4,2]
[9,2,3,4,5,6,7,8,1,10]=>[2,3,4,5,6,7,9,8,1,10]
[1,10,3,4,5,6,7,8,9,2]=>[3,4,5,6,7,8,10,9,1,2]
[1,10,9,4,5,6,7,8,3,2]=>[4,5,6,7,10,9,8,3,1,2]
[8,1,2,3,4,5,6,7,10,9]=>[10,2,3,4,5,6,7,1,8,9]
[2,3,4,5,6,7,9,8,1,10]=>[9,1,2,3,4,5,6,8,7,10]
[1,3,4,5,6,7,8,10,9,2]=>[10,2,3,4,5,6,7,9,1,8]
[1,2,3,4,5,6,10,8,9,7]=>[8,10,9,1,2,3,4,5,6,7]
[1,2,3,4,5,10,7,8,9,6]=>[7,8,10,9,1,2,3,4,5,6]
[1,2,3,4,10,6,7,8,9,5]=>[6,7,8,10,9,1,2,3,4,5]
[1,2,3,10,5,6,7,8,9,4]=>[5,6,7,8,10,9,1,2,3,4]
[1,2,10,4,5,6,7,8,9,3]=>[4,5,6,7,8,10,9,1,2,3]
[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,10,9,1]
[1,2,3,4,6,8,5,7,10,9]=>[10,5,7,1,2,3,4,6,8,9]
[1,2,3,4,7,5,8,6,10,9]=>[7,5,10,1,2,3,4,6,8,9]
[1,2,3,5,7,4,6,9,8,10]=>[9,4,6,1,2,3,5,7,8,10]
[1,2,3,6,4,7,5,9,8,10]=>[6,4,9,1,2,3,5,7,8,10]
[7,10,1,2,3,4,5,6,8,9]=>[3,4,5,6,7,1,8,9,10,2]
[6,10,1,2,3,4,5,7,8,9]=>[3,4,5,6,1,7,8,9,10,2]
[4,10,1,2,3,5,6,7,8,9]=>[3,4,1,5,6,7,8,9,10,2]
[3,10,1,2,4,5,6,7,8,9]=>[3,1,4,5,6,7,8,9,10,2]
[10,9,8,7,5,6,4,3,2,1]=>[5,10,9,8,7,6,4,3,2,1]
[2,1,10,9,8,6,7,5,4,3]=>[6,10,9,8,7,5,1,4,2,3]
[1,9,8,7,6,5,4,3,2,10]=>[9,8,7,6,5,4,3,1,2,10]
[2,8,9,10,1,3,4,5,6,7]=>[5,6,7,8,2,9,1,3,10,4]
[8,1,9,2,10,3,4,5,6,7]=>[6,7,8,9,10,4,2,1,3,5]
[7,1,8,2,9,3,10,4,5,6]=>[8,9,10,6,4,2,1,3,5,7]
[5,1,6,2,7,3,8,4,10,9]=>[7,5,3,1,10,2,4,6,8,9]
[4,1,5,2,6,3,8,7,10,9]=>[5,3,1,7,10,2,4,6,8,9]
[2,1,3,4,5,6,7,9,10,8]=>[1,8,10,2,3,4,5,6,7,9]
[2,1,3,4,5,6,7,8,10,9]=>[1,10,2,3,4,5,6,7,8,9]
[7,1,2,3,4,5,8,9,10,6]=>[7,8,10,2,3,4,1,5,6,9]
[6,1,2,3,4,7,8,9,10,5]=>[6,7,8,10,2,1,3,4,5,9]
[5,1,2,3,6,7,8,9,10,4]=>[5,6,7,1,8,10,2,3,4,9]
[9,7,5,4,3,2,1,10,8,6]=>[5,4,3,10,6,2,9,7,1,8]
[8,6,5,4,3,2,1,9,7,10]=>[6,5,4,3,2,9,7,1,8,10]
[9,7,5,3,2,1,10,8,6,4]=>[10,4,3,9,5,2,8,6,1,7]
[8,6,4,3,2,1,9,7,5,10]=>[4,3,9,5,2,8,6,1,7,10]
[8,5,4,3,2,1,9,6,10,7]=>[4,3,2,10,5,8,6,1,7,9]
[7,5,4,3,2,1,8,6,9,10]=>[5,4,3,2,8,6,1,7,9,10]
[8,6,4,2,1,9,7,5,3,10]=>[3,9,8,4,2,7,5,1,6,10]
[8,5,3,2,1,9,6,4,10,7]=>[3,7,2,10,4,8,5,1,6,9]
[7,5,3,2,1,8,6,4,9,10]=>[3,8,4,2,7,5,1,6,9,10]
[7,4,3,2,1,8,5,9,6,10]=>[3,2,9,4,7,5,1,6,8,10]
[6,4,3,2,1,7,5,8,9,10]=>[4,3,2,7,5,1,6,8,9,10]
[8,5,3,1,9,6,4,2,10,7]=>[7,3,2,6,10,8,4,1,5,9]
[7,5,3,1,8,6,4,2,9,10]=>[8,3,2,7,6,4,1,5,9,10]
[8,5,2,1,9,6,3,10,7,4]=>[6,2,10,9,3,7,4,1,5,8]
[7,4,2,1,8,5,3,9,6,10]=>[6,2,9,3,7,4,1,5,8,10]
[6,4,2,1,7,5,3,8,9,10]=>[7,3,2,6,4,1,5,8,9,10]
[7,3,2,1,8,4,9,5,10,6]=>[10,2,8,3,6,4,1,5,7,9]
[6,3,2,1,7,4,8,5,9,10]=>[2,8,3,6,4,1,5,7,9,10]
[5,3,2,1,6,4,7,8,9,10]=>[3,2,6,4,1,5,7,8,9,10]
[7,4,1,8,5,2,9,6,3,10]=>[2,5,9,8,6,3,1,4,7,10]
[7,3,1,8,4,2,9,5,10,6]=>[10,2,5,8,6,3,1,4,7,9]
[6,3,1,7,4,2,8,5,9,10]=>[2,5,8,6,3,1,4,7,9,10]
[5,3,1,6,4,2,7,8,9,10]=>[2,6,5,3,1,4,7,8,9,10]
[6,2,1,7,3,8,4,9,5,10]=>[9,7,2,5,3,1,4,6,8,10]
[5,2,1,6,3,7,4,8,9,10]=>[7,2,5,3,1,4,6,8,9,10]
[4,2,1,5,3,6,7,8,9,10]=>[2,5,3,1,4,6,7,8,9,10]
[5,1,6,2,7,3,8,4,9,10]=>[8,6,4,2,1,3,5,7,9,10]
[4,1,5,2,6,3,7,8,9,10]=>[6,4,2,1,3,5,7,8,9,10]
[3,1,4,2,5,6,7,8,9,10]=>[4,2,1,3,5,6,7,8,9,10]
[1,9,2,3,4,5,6,7,8,10]=>[3,4,5,6,7,8,9,1,2,10]
[1,2,3,4,5,6,7,9,8,10]=>[9,1,2,3,4,5,6,7,8,10]
[10,3,4,5,6,7,8,9,1,2]=>[2,3,4,5,6,9,7,10,8,1]
[9,3,4,5,6,7,8,1,10,2]=>[2,3,4,5,6,10,8,7,1,9]
[8,3,4,5,6,7,1,9,10,2]=>[2,3,4,5,8,6,1,10,7,9]
[7,3,4,5,6,1,8,9,10,2]=>[2,3,4,7,5,1,8,10,6,9]
[6,3,4,5,1,7,8,9,10,2]=>[2,3,6,4,1,7,8,10,5,9]
[5,3,4,1,6,7,8,9,10,2]=>[2,5,3,1,6,7,8,10,4,9]
[4,3,1,5,6,7,8,9,10,2]=>[4,2,1,5,6,7,8,10,3,9]
[10,9,4,5,6,7,8,1,2,3]=>[3,4,8,5,9,6,10,7,2,1]
[10,3,8,5,6,7,1,9,2,4]=>[4,9,5,10,2,7,6,3,8,1]
[10,3,4,7,6,1,8,9,2,5]=>[9,7,2,3,5,4,10,6,8,1]
[10,3,4,5,1,7,8,9,2,6]=>[2,3,4,6,9,7,10,5,8,1]
[5,3,4,1,6,10,8,9,2,7]=>[9,2,1,3,7,10,5,8,4,6]
[4,3,1,5,6,7,10,9,2,8]=>[2,1,9,10,4,5,6,8,3,7]
[3,1,4,5,6,7,8,10,2,9]=>[3,1,4,5,6,7,9,10,2,8]
[9,2,3,4,5,6,7,10,1,8]=>[2,3,4,5,6,7,9,1,10,8]
[9,2,10,4,5,6,7,8,1,3]=>[4,5,6,9,7,10,2,1,8,3]
[2,10,4,5,6,7,8,9,1,3]=>[3,4,5,6,9,7,10,1,8,2]
[9,8,4,5,6,7,1,2,10,3]=>[3,4,10,7,5,8,6,2,1,9]
[2,10,9,5,6,7,8,1,3,4]=>[4,8,5,9,6,10,7,1,3,2]
[9,3,8,5,6,7,1,2,10,4]=>[4,10,7,2,5,8,6,3,1,9]
[9,7,4,5,6,1,8,2,10,3]=>[3,4,10,8,6,5,2,7,1,9]
[2,10,4,9,6,7,8,1,3,5]=>[8,5,9,3,6,10,7,1,4,2]
[2,10,8,5,6,7,1,9,3,4]=>[4,9,5,10,7,6,1,3,8,2]
[1,3,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]
[9,2,3,4,5,6,7,8,10,1]=>[2,3,4,5,6,7,8,1,10,9]
[8,2,3,4,5,6,7,10,9,1]=>[10,2,3,4,5,6,1,7,9,8]
[7,2,3,4,5,6,10,8,9,1]=>[8,10,2,3,4,1,5,6,9,7]
[6,2,3,4,5,10,7,8,9,1]=>[7,8,10,2,1,3,4,5,9,6]
[5,2,3,4,10,6,7,8,9,1]=>[6,7,1,8,10,2,3,4,9,5]
[4,2,3,10,5,6,7,8,9,1]=>[5,1,6,7,8,10,2,3,9,4]
[3,2,10,4,5,6,7,8,9,1]=>[1,4,5,6,7,8,10,2,9,3]
[2,10,3,4,5,6,7,8,9,1]=>[3,4,5,6,7,8,10,1,9,2]
[2,3,4,6,7,5,8,9,1,10]=>[4,6,1,2,3,5,7,9,8,10]
[1,3,4,5,7,8,6,9,10,2]=>[5,7,2,3,4,6,8,10,1,9]
[9,7,5,3,1,8,6,4,2,10]=>[9,4,3,8,7,5,2,6,1,10]
[1,10,8,6,4,2,9,7,5,3]=>[10,5,4,9,8,6,3,7,1,2]
[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]
[6,3,5,1,2,4,7,8,9,10]=>[4,2,5,6,3,1,7,8,9,10]
[9,7,6,5,4,3,2,1,8,10]=>[8,7,6,5,4,3,2,9,1,10]
[10,8,6,9,4,7,2,5,1,3]=>[7,5,3,9,2,10,8,6,4,1]
[10,3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,10,9,1]
[9,1,2,3,4,5,6,8,7,10]=>[9,2,3,4,5,6,7,8,1,10]
[1,10,2,3,4,5,6,7,9,8]=>[10,3,4,5,6,7,8,9,1,2]
[1,3,4,5,6,7,8,10,2,9]=>[2,3,4,5,6,7,9,10,1,8]
[1,3,4,5,6,7,8,9,2,10]=>[2,3,4,5,6,7,9,1,8,10]
[1,8,10,9,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,1,3]
[1,7,10,9,8,6,5,4,3,2]=>[10,9,2,8,7,6,5,4,1,3]
[1,5,10,9,8,7,6,4,3,2]=>[10,9,8,7,2,6,5,4,1,3]
[1,4,10,9,8,7,6,5,3,2]=>[10,9,8,7,6,2,5,4,1,3]
[9,8,1,10,7,6,5,4,3,2]=>[10,9,8,7,6,5,3,2,1,4]
[7,8,10,1,9,6,5,4,3,2]=>[1,2,10,9,8,7,6,4,5,3]
[6,7,10,9,1,8,5,4,3,2]=>[10,1,2,9,8,7,5,6,4,3]
[6,5,10,9,8,1,7,4,3,2]=>[10,1,9,2,8,6,7,5,4,3]
[4,5,10,9,8,7,1,6,3,2]=>[10,9,7,8,1,2,6,5,4,3]
[3,4,10,9,8,7,6,1,5,2]=>[10,8,9,7,6,1,2,5,4,3]
[3,2,10,9,8,7,6,5,1,4]=>[9,10,8,7,6,1,5,2,4,3]
[1,2,3,4,5,6,8,10,9,7]=>[10,7,9,1,2,3,4,5,6,8]
[1,2,3,4,5,7,8,10,9,6]=>[10,6,7,9,1,2,3,4,5,8]
[1,2,3,4,5,7,9,10,8,6]=>[7,10,6,9,1,2,3,4,5,8]
[1,2,3,4,5,7,10,9,8,6]=>[10,9,6,8,1,2,3,4,5,7]
[1,2,3,4,6,7,8,10,9,5]=>[10,5,6,7,9,1,2,3,4,8]
[1,2,3,4,6,7,9,10,8,5]=>[7,10,5,6,9,1,2,3,4,8]
[1,2,3,4,6,7,10,9,8,5]=>[10,9,5,6,8,1,2,3,4,7]
[1,2,3,4,6,8,10,9,7,5]=>[10,6,9,5,8,1,2,3,4,7]
[1,2,3,4,6,10,9,8,7,5]=>[10,9,8,5,7,1,2,3,4,6]
[1,2,3,5,6,7,9,10,8,4]=>[7,10,4,5,6,9,1,2,3,8]
[1,2,3,5,6,7,10,9,8,4]=>[10,9,4,5,6,8,1,2,3,7]
[1,2,3,5,6,8,9,10,7,4]=>[6,7,10,4,5,9,1,2,3,8]
[1,2,3,5,6,8,10,9,7,4]=>[10,6,9,4,5,8,1,2,3,7]
[1,2,3,5,6,10,9,8,7,4]=>[10,9,8,4,5,7,1,2,3,6]
[1,2,3,5,7,9,10,8,6,4]=>[6,10,5,9,4,8,1,2,3,7]
[1,2,3,5,7,10,9,8,6,4]=>[10,9,5,8,4,7,1,2,3,6]
[1,2,3,5,10,9,8,7,6,4]=>[10,9,8,7,4,6,1,2,3,5]
[1,2,4,5,7,8,10,9,6,3]=>[10,5,6,9,3,4,8,1,2,7]
[1,2,4,5,7,9,10,8,6,3]=>[6,10,5,9,3,4,8,1,2,7]
[1,2,4,5,7,10,9,8,6,3]=>[10,9,5,8,3,4,7,1,2,6]
[1,2,4,5,10,9,8,7,6,3]=>[10,9,8,7,3,4,6,1,2,5]
[1,2,4,6,10,9,8,7,5,3]=>[10,9,8,4,7,3,6,1,2,5]
[1,2,4,10,9,8,7,6,5,3]=>[10,9,8,7,6,3,5,1,2,4]
[1,3,5,7,9,10,8,6,4,2]=>[5,10,4,9,3,8,2,7,1,6]
[1,3,5,7,10,9,8,6,4,2]=>[10,9,4,8,3,7,2,6,1,5]
[1,3,5,10,9,8,7,6,4,2]=>[10,9,8,7,3,6,2,5,1,4]
[1,3,10,9,8,7,6,5,4,2]=>[10,9,8,7,6,5,2,4,1,3]
[9,1,8,2,3,4,5,6,10,7]=>[10,4,5,6,7,8,2,3,1,9]
[9,7,1,2,3,4,5,6,10,8]=>[10,3,4,5,6,7,2,8,1,9]
[2,10,1,9,3,4,5,6,7,8]=>[5,6,7,8,9,10,1,3,4,2]
[2,10,8,1,3,4,5,6,7,9]=>[4,5,6,7,8,9,1,3,10,2]
[4,1,3,2,5,6,7,8,9,10]=>[4,2,3,1,5,6,7,8,9,10]
[6,1,2,4,5,3,7,8,9,10]=>[4,6,2,3,5,1,7,8,9,10]
[5,4,1,2,3,6,7,8,9,10]=>[3,4,5,2,1,6,7,8,9,10]
[8,1,2,3,5,6,7,4,9,10]=>[5,6,8,2,3,4,7,1,9,10]
[4,1,6,3,5,2,7,8,9,10]=>[4,1,6,5,2,3,7,8,9,10]
[8,1,7,3,2,6,4,5,9,10]=>[4,7,8,5,6,2,3,1,9,10]
[5,7,1,6,2,4,3,8,9,10]=>[7,5,1,6,3,4,2,8,9,10]
[7,3,4,6,1,2,5,8,9,10]=>[2,5,3,6,7,4,1,8,9,10]
[6,1,2,9,4,5,7,8,3,10]=>[5,6,7,1,9,8,2,3,4,10]
[4,1,6,3,8,5,7,2,9,10]=>[1,6,3,8,4,7,2,5,9,10]
[6,8,5,1,7,2,3,4,9,10]=>[6,7,1,8,4,3,5,2,9,10]
[8,3,4,5,7,1,2,6,9,10]=>[2,3,6,4,7,8,5,1,9,10]
[10,1,6,3,9,5,2,8,4,7]=>[9,6,3,10,4,7,8,2,5,1]
[5,7,1,9,2,8,4,6,3,10]=>[1,7,9,8,5,2,6,3,4,10]
[7,9,4,6,1,8,2,3,5,10]=>[7,3,8,1,9,5,4,6,2,10]
[9,3,4,5,6,8,1,2,7,10]=>[2,3,4,7,5,8,9,6,1,10]
[4,1,6,3,8,5,10,7,9,2]=>[1,3,8,5,10,4,6,9,2,7]
[6,8,10,1,7,2,9,3,5,4]=>[1,10,8,9,6,4,2,5,7,3]
[8,10,4,5,7,1,9,2,3,6]=>[3,8,4,9,1,10,6,5,7,2]
[10,3,4,5,6,7,9,1,2,8]=>[2,3,4,5,8,6,9,10,7,1]
[3,5,7,9,1,2,4,6,8,10]=>[5,1,2,6,7,3,8,9,4,10]
[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]
[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]
[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]
[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]
[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]
[3,4,1,6,2,5,8,7,10,9]=>[1,2,7,4,10,3,5,6,8,9]
[10,8,6,4,2,1,3,5,7,9]=>[6,5,7,4,8,3,9,2,10,1]
[10,8,6,2,1,4,3,5,7,9]=>[4,7,5,6,8,3,9,2,10,1]
[10,8,4,2,1,6,3,5,7,9]=>[4,7,3,8,5,6,9,2,10,1]
[10,6,4,2,1,8,3,5,7,9]=>[4,7,3,8,2,9,5,6,10,1]
[8,6,4,2,1,10,3,5,7,9]=>[4,7,3,8,2,9,1,10,5,6]
[8,6,4,2,9,1,3,5,7,10]=>[4,6,3,7,2,8,1,9,5,10]
[9,6,4,2,7,1,3,5,8,10]=>[4,6,3,7,2,8,5,9,1,10]
[9,7,4,2,5,1,3,6,8,10]=>[4,6,3,7,5,8,2,9,1,10]
[9,7,5,2,3,1,4,6,8,10]=>[4,6,5,7,3,8,2,9,1,10]
[9,7,5,3,1,2,4,6,8,10]=>[5,6,4,7,3,8,2,9,1,10]
[1,2,10,3,4,5,6,7,9,8]=>[10,4,5,6,7,8,9,1,2,3]
[1,2,3,9,4,5,6,10,7,8]=>[9,10,5,6,7,1,2,3,4,8]
[1,2,3,4,10,5,6,7,9,8]=>[10,6,7,8,9,1,2,3,4,5]
[1,2,3,4,5,10,6,7,9,8]=>[10,7,8,9,1,2,3,4,5,6]
[1,2,3,4,5,6,9,10,7,8]=>[9,7,10,1,2,3,4,5,6,8]
[8,1,2,3,4,5,9,6,10,7]=>[10,8,2,3,4,5,6,1,7,9]
[7,10,1,2,3,4,5,9,6,8]=>[9,10,3,4,5,1,6,7,8,2]
[6,1,10,2,3,4,5,9,7,8]=>[9,10,4,5,1,6,7,8,2,3]
[5,1,2,3,4,6,9,7,10,8]=>[10,8,2,3,1,4,5,6,7,9]
[4,1,2,3,10,5,6,9,7,8]=>[9,1,10,6,7,8,2,3,4,5]
[3,1,2,4,5,10,6,9,7,8]=>[1,9,10,7,8,2,3,4,5,6]
[9,1,2,3,4,5,7,10,6,8]=>[7,9,10,2,3,4,5,6,1,8]
[9,1,2,3,5,7,10,4,6,8]=>[8,5,6,9,10,2,3,4,1,7]
[9,1,3,5,7,10,2,4,6,8]=>[4,7,8,3,5,9,10,2,1,6]
[7,8,9,6,5,4,3,2,1,10]=>[1,2,9,8,7,6,5,4,3,10]
[7,6,8,9,5,4,3,2,1,10]=>[2,1,3,9,8,7,6,5,4,10]
[7,6,5,8,9,4,3,2,1,10]=>[3,2,1,4,9,8,7,6,5,10]
[7,6,5,4,8,9,3,2,1,10]=>[4,3,2,1,5,9,8,7,6,10]
[7,6,5,4,3,8,9,2,1,10]=>[5,4,3,2,1,6,9,8,7,10]
[7,6,5,4,3,2,8,9,1,10]=>[6,5,4,3,2,1,7,9,8,10]
[9,8,7,6,5,4,2,1,3,10]=>[8,7,9,6,5,4,3,2,1,10]
[9,8,7,6,5,3,2,1,4,10]=>[8,7,6,9,5,4,3,2,1,10]
[9,8,7,6,4,3,2,1,5,10]=>[8,7,6,5,9,4,3,2,1,10]
[9,8,7,5,4,3,2,1,6,10]=>[8,7,6,5,4,9,3,2,1,10]
[9,8,6,5,4,3,2,1,7,10]=>[8,7,6,5,4,3,9,2,1,10]
[10,1,3,4,5,6,7,8,9,2]=>[3,4,5,6,7,8,10,2,9,1]
[1,9,3,4,5,6,7,10,2,8]=>[3,4,5,6,7,9,2,10,1,8]
[9,2,3,4,5,6,1,10,8,7]=>[10,2,3,4,5,6,9,7,1,8]
[9,1,10,4,5,6,7,8,3,2]=>[4,5,6,7,10,9,8,2,1,3]
[8,10,3,4,5,6,7,1,9,2]=>[3,4,5,6,1,10,8,7,9,2]
[10,6,1,2,3,4,9,5,7,8]=>[8,9,10,3,4,2,5,6,7,1]
[10,7,1,2,3,4,9,5,6,8]=>[8,9,10,3,4,5,2,6,7,1]
[9,10,1,2,3,4,8,5,6,7]=>[8,9,10,3,4,5,6,1,7,2]
[10,1,5,2,3,4,6,7,8,9]=>[4,5,6,2,3,7,8,9,10,1]
[10,1,2,5,3,4,6,7,8,9]=>[5,6,2,3,4,7,8,9,10,1]
[5,1,2,3,10,4,6,7,8,9]=>[6,7,8,1,9,10,2,3,4,5]
[7,6,1,2,3,4,10,9,5,8]=>[9,10,8,3,4,2,1,5,6,7]
[9,7,1,2,3,4,8,5,10,6]=>[10,8,3,4,5,6,2,7,1,9]
[5,9,1,2,3,4,6,7,10,8]=>[10,3,4,1,5,6,7,8,2,9]
[10,8,4,9,1,2,3,5,6,7]=>[5,6,3,7,8,9,2,10,4,1]
[2,10,1,5,3,4,6,7,8,9]=>[5,6,1,3,4,7,8,9,10,2]
[3,1,5,2,10,4,6,7,8,9]=>[1,6,3,7,8,9,10,2,4,5]
[4,1,2,10,3,5,6,7,8,9]=>[5,6,1,7,8,9,10,2,3,4]
[9,10,1,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,3,1,4,2]
[10,9,1,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,3,4,2,1]
[10,9,8,1,7,6,5,4,3,2]=>[10,9,8,7,6,4,5,3,2,1]
[10,9,8,7,1,6,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]
[10,9,8,7,6,1,5,4,3,2]=>[10,9,8,6,7,5,4,3,2,1]
[10,9,8,7,6,5,1,4,3,2]=>[10,9,7,8,6,5,4,3,2,1]
[10,9,8,7,6,5,4,1,3,2]=>[10,8,9,7,6,5,4,3,2,1]
[3,2,5,4,7,6,9,8,1,10]=>[1,3,5,9,2,4,6,8,7,10]
[2,4,3,6,5,8,7,10,9,1]=>[2,4,6,10,1,3,5,7,9,8]
[3,4,5,6,7,8,9,2,10,1]=>[1,2,3,4,5,6,8,7,10,9]
[2,4,5,6,7,8,9,10,3,1]=>[2,3,4,5,6,7,10,1,9,8]
[3,2,5,4,7,6,1,10,8,9]=>[1,3,6,2,4,5,9,10,7,8]
[3,2,5,4,9,8,6,7,1,10]=>[7,9,1,3,8,2,4,6,5,10]
[3,2,5,4,1,8,6,10,7,9]=>[1,3,9,2,4,6,10,5,7,8]
[3,2,5,4,1,10,9,6,7,8]=>[1,3,8,9,10,2,4,7,5,6]
[3,2,7,6,4,5,9,8,1,10]=>[9,5,1,4,2,3,6,8,7,10]
[3,2,7,6,4,5,1,10,8,9]=>[5,6,1,4,2,3,9,10,7,8]
[3,2,9,6,4,8,5,7,1,10]=>[7,4,9,1,5,8,2,6,3,10]
[3,2,1,6,4,8,5,10,7,9]=>[1,4,9,2,6,10,3,5,7,8]
[3,2,1,6,4,10,9,5,7,8]=>[1,4,8,9,10,2,7,3,5,6]
[3,2,9,8,7,4,5,6,1,10]=>[6,7,9,8,1,5,2,4,3,10]
[3,2,1,8,7,4,5,10,6,9]=>[9,10,1,6,2,5,3,4,7,8]
[3,2,1,10,7,4,9,5,6,8]=>[8,9,1,5,10,2,6,7,3,4]
[3,2,1,10,9,8,4,5,6,7]=>[7,8,9,10,1,6,2,5,3,4]
[5,4,2,3,7,6,9,8,1,10]=>[5,2,1,9,3,4,6,8,7,10]
[5,4,2,3,7,6,1,10,8,9]=>[6,3,2,1,4,5,9,10,7,8]
[5,4,2,3,9,8,6,7,1,10]=>[2,1,7,9,8,3,4,6,5,10]
[5,4,2,3,1,8,6,10,7,9]=>[9,3,2,1,4,6,10,5,7,8]
[5,4,2,3,1,10,9,6,7,8]=>[8,2,1,9,10,3,4,7,5,6]
[7,4,2,6,3,5,9,8,1,10]=>[2,9,5,3,4,1,6,8,7,10]
[7,4,2,6,3,5,1,10,8,9]=>[5,2,6,3,4,1,9,10,7,8]
[9,4,2,6,3,8,5,7,1,10]=>[2,7,4,9,3,5,8,6,1,10]
[1,4,2,6,3,8,5,10,7,9]=>[2,4,9,6,10,1,3,5,7,8]
[1,4,2,6,3,10,9,5,7,8]=>[2,4,8,9,10,7,1,3,5,6]
[9,4,2,8,7,3,5,6,1,10]=>[2,6,7,9,8,3,5,4,1,10]
[1,4,2,8,7,3,5,10,6,9]=>[9,10,2,6,5,1,3,4,7,8]
[1,4,2,10,7,3,9,5,6,8]=>[8,9,2,5,10,6,7,1,3,4]
[1,4,2,10,9,8,3,5,6,7]=>[7,8,9,10,2,6,5,1,3,4]
[7,6,5,2,3,4,9,8,1,10]=>[9,4,5,3,2,1,6,8,7,10]
[7,6,5,2,3,4,1,10,8,9]=>[4,5,6,3,2,1,9,10,7,8]
[9,6,5,2,3,8,4,7,1,10]=>[7,9,4,3,2,5,8,6,1,10]
[1,6,5,2,3,8,4,10,7,9]=>[9,6,3,2,10,1,4,5,7,8]
[1,6,5,2,3,10,9,4,7,8]=>[8,3,2,9,10,7,1,4,5,6]
[9,8,5,2,7,3,4,6,1,10]=>[6,7,3,9,4,8,5,2,1,10]
[1,8,5,2,7,3,4,10,6,9]=>[9,3,10,6,4,5,1,2,7,8]
[1,10,5,2,7,3,9,4,6,8]=>[8,3,9,5,10,4,6,7,1,2]
[1,10,5,2,9,8,3,4,6,7]=>[7,3,8,9,10,6,4,5,1,2]
[9,8,7,6,2,3,4,5,1,10]=>[5,6,7,9,8,4,3,2,1,10]
[1,8,7,6,2,3,4,10,5,9]=>[9,10,5,6,4,3,1,2,7,8]
[1,10,7,6,2,3,9,4,5,8]=>[8,9,10,5,4,3,6,7,1,2]
[1,10,9,6,2,8,3,4,5,7]=>[7,8,9,4,10,5,6,3,1,2]
[1,10,9,8,7,2,3,4,5,6]=>[6,7,8,9,10,5,4,3,1,2]
[3,2,5,4,7,6,1,10,9,8]=>[1,3,5,10,2,4,6,9,7,8]
[3,2,5,4,9,8,7,6,1,10]=>[9,8,1,3,7,2,4,6,5,10]
[3,2,5,4,1,8,7,10,9,6]=>[1,3,6,10,2,4,7,9,5,8]
[3,2,5,4,1,10,9,8,7,6]=>[10,9,1,3,8,2,4,7,5,6]
[3,2,7,6,5,4,9,8,1,10]=>[5,4,1,3,9,2,6,8,7,10]
[3,2,7,6,5,4,1,10,9,8]=>[5,4,1,3,10,2,6,9,7,8]
[3,2,9,6,5,8,7,4,1,10]=>[4,9,5,8,1,7,2,6,3,10]
[3,2,1,6,5,8,7,10,9,4]=>[1,4,6,10,2,5,7,9,3,8]
[3,2,1,6,5,10,9,8,7,4]=>[10,9,1,4,8,2,5,7,3,6]
[3,2,1,8,7,6,5,10,9,4]=>[6,5,1,4,10,2,7,9,3,8]
[3,2,1,10,7,6,9,8,5,4]=>[5,10,6,9,1,8,2,7,3,4]
[5,4,3,2,7,6,9,8,1,10]=>[3,2,1,5,9,4,6,8,7,10]
[5,4,3,2,7,6,1,10,9,8]=>[3,2,1,5,10,4,6,9,7,8]
[5,4,3,2,9,8,7,6,1,10]=>[1,9,2,8,3,7,4,6,5,10]
[5,4,3,2,1,8,7,10,9,6]=>[3,2,1,6,10,4,7,9,5,8]
[7,4,3,6,5,2,9,8,1,10]=>[2,5,3,4,1,9,6,8,7,10]
[7,4,3,6,5,2,1,10,9,8]=>[2,5,3,4,1,10,6,9,7,8]
[9,4,3,6,5,8,7,2,1,10]=>[2,4,9,3,5,8,7,6,1,10]
[1,4,3,6,5,8,7,10,9,2]=>[2,4,6,10,3,5,7,9,1,8]
[1,4,3,6,5,10,9,8,7,2]=>[10,9,2,4,8,3,5,7,1,6]
[9,4,3,8,7,6,5,2,1,10]=>[9,8,2,7,3,6,5,4,1,10]
[1,4,3,8,7,6,5,10,9,2]=>[6,5,2,4,10,3,7,9,1,8]
[1,4,3,10,7,6,9,8,5,2]=>[5,10,6,9,2,8,3,7,1,4]
[1,4,3,10,9,8,7,6,5,2]=>[10,9,8,7,2,6,3,5,1,4]
[7,6,5,4,3,2,9,8,1,10]=>[5,4,3,2,1,9,6,8,7,10]
[9,6,5,4,3,8,7,2,1,10]=>[4,3,2,9,5,8,7,6,1,10]
[1,6,5,4,3,8,7,10,9,2]=>[4,3,2,6,10,5,7,9,1,8]
[1,6,5,4,3,10,9,8,7,2]=>[2,10,3,9,4,8,5,7,1,6]
[9,8,5,4,7,6,3,2,1,10]=>[3,9,4,8,7,6,5,2,1,10]
[1,8,5,4,7,6,3,10,9,2]=>[3,6,4,5,2,10,7,9,1,8]
[1,10,5,4,7,6,9,8,3,2]=>[3,5,10,4,6,9,8,7,1,2]
[1,10,5,4,9,8,7,6,3,2]=>[10,9,3,8,4,7,6,5,1,2]
[1,10,7,6,5,4,9,8,3,2]=>[5,4,3,10,6,9,8,7,1,2]
[1,10,9,6,5,8,7,4,3,2]=>[4,10,5,9,8,7,6,3,1,2]
[6,5,7,4,8,3,9,2,10,1]=>[2,1,4,3,6,5,8,7,10,9]
[6,5,7,4,8,3,10,2,9,1]=>[2,1,4,3,6,5,8,10,9,7]
[5,6,4,7,3,8,2,9,1,10]=>[1,3,2,5,4,7,6,9,8,10]
[9,8,7,6,1,2,3,4,5,10]=>[5,6,7,8,9,4,3,2,1,10]
[8,10,1,2,3,4,5,9,6,7]=>[9,10,3,4,5,6,1,7,8,2]
[10,8,1,9,2,3,4,5,6,7]=>[5,6,7,8,9,10,3,2,4,1]
[8,7,1,2,3,4,5,9,10,6]=>[8,10,3,4,5,6,2,1,7,9]
[2,10,1,5,6,7,8,9,3,4]=>[4,5,6,9,7,10,1,3,8,2]
[10,9,2,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,10,9,2,1]
[2,4,3,1,6,5,8,7,10,9]=>[3,1,2,5,7,10,4,6,8,9]
[7,8,4,9,5,2,10,6,3,1]=>[5,1,10,3,2,9,6,4,8,7]
[2,1,4,3,6,5,8,10,9,7]=>[10,1,3,5,7,9,2,4,6,8]
[2,1,4,3,6,8,7,5,10,9]=>[7,1,3,5,6,10,2,4,8,9]
[2,1,4,3,8,10,7,9,5,6]=>[5,9,7,10,1,3,8,2,4,6]
[2,1,4,3,6,7,10,8,9,5]=>[8,10,1,3,5,6,9,2,4,7]
[2,1,4,6,5,3,8,7,10,9]=>[5,1,3,4,7,10,2,6,8,9]
[2,1,4,6,5,3,8,10,9,7]=>[4,10,1,3,5,7,9,2,6,8]
[2,1,6,8,5,7,3,4,10,9]=>[3,5,10,7,1,6,2,4,8,9]
[2,1,8,7,5,10,4,9,3,6]=>[5,7,4,3,9,10,1,8,2,6]
[2,1,6,7,5,10,8,4,9,3]=>[3,4,8,5,7,10,1,9,2,6]
[2,1,4,5,8,6,7,3,10,9]=>[6,7,1,3,4,5,10,2,8,9]
[2,1,8,5,10,6,7,9,3,4]=>[6,9,4,3,7,10,1,8,2,5]
[2,1,4,7,10,6,9,8,3,5]=>[4,6,9,10,8,1,3,7,2,5]
[2,1,4,5,6,10,7,8,9,3]=>[7,8,10,1,3,4,5,9,2,6]
[2,4,3,1,6,5,8,10,9,7]=>[2,10,1,3,5,7,9,4,6,8]
[2,4,3,1,6,8,7,5,10,9]=>[2,7,1,3,5,6,10,4,8,9]
[2,4,3,1,8,10,7,9,5,6]=>[5,9,2,7,10,1,3,8,4,6]
[2,4,3,1,6,7,10,8,9,5]=>[2,8,10,1,3,5,6,9,4,7]
[4,6,3,5,1,2,8,7,10,9]=>[1,3,7,4,2,10,5,6,8,9]
[4,6,3,5,1,2,8,10,9,7]=>[1,3,4,2,10,7,9,5,6,8]
[6,5,3,8,2,7,1,4,10,9]=>[10,3,2,1,5,7,6,4,8,9]
[8,5,3,7,2,10,4,9,1,6]=>[7,2,9,3,4,1,10,5,8,6]
[6,5,3,7,2,10,8,4,9,1]=>[4,2,1,8,3,7,10,5,9,6]
[4,5,3,8,6,2,7,1,10,9]=>[1,2,6,3,5,7,4,10,8,9]
[8,6,3,5,10,2,7,9,1,4]=>[4,9,3,2,6,1,7,10,8,5]
[4,7,3,6,10,1,9,8,2,5]=>[4,9,1,2,10,3,8,6,7,5]
[4,5,3,6,10,7,1,8,9,2]=>[1,2,8,3,4,6,10,7,9,5]
[2,3,6,4,5,1,8,7,10,9]=>[4,5,1,2,3,7,10,6,8,9]
[2,3,6,4,5,1,8,10,9,7]=>[10,4,1,2,3,5,7,9,6,8]
[6,3,8,4,5,7,1,2,10,9]=>[4,5,1,10,2,7,6,3,8,9]
[8,3,7,4,5,10,2,9,1,6]=>[4,5,7,2,3,1,9,10,8,6]
[6,3,7,4,5,10,8,2,9,1]=>[8,4,2,1,3,5,7,10,9,6]
[2,5,8,4,7,6,1,3,10,9]=>[10,2,4,7,6,1,5,3,8,9]
[8,5,10,4,7,6,2,9,1,3]=>[2,4,7,1,9,6,5,10,8,3]
[2,7,10,4,8,6,9,5,1,3]=>[2,9,6,4,5,10,8,1,7,3]
[2,5,6,4,10,8,7,3,9,1]=>[8,2,3,7,4,6,10,1,9,5]
[2,3,4,8,5,6,7,1,10,9]=>[5,6,7,1,2,3,4,10,8,9]
[8,3,4,10,5,6,7,9,1,2]=>[5,6,9,2,3,1,7,10,8,4]
[2,7,4,10,5,6,9,8,1,3]=>[5,6,2,9,10,3,8,1,7,4]
[2,3,6,10,5,9,7,8,1,4]=>[9,3,5,7,10,8,1,2,6,4]
[2,3,4,5,10,6,7,8,9,1]=>[6,7,8,10,1,2,3,4,9,5]
[2,3,4,5,6,1,8,9,10,7]=>[1,2,3,4,5,7,8,10,6,9]
[2,3,4,5,6,8,9,1,10,7]=>[6,10,1,2,3,4,5,8,7,9]
[4,5,6,1,7,8,9,10,2,3]=>[1,2,5,3,6,9,7,10,4,8]
[3,5,6,1,7,8,9,10,2,4]=>[2,5,1,3,6,9,7,10,4,8]
[3,4,6,1,7,8,9,10,2,5]=>[5,1,2,3,6,9,7,10,4,8]
[3,4,5,1,7,8,9,10,2,6]=>[1,2,3,5,6,9,7,10,4,8]
[2,1,4,3,6,5,8,9,10,7]=>[1,3,5,7,8,10,2,4,6,9]
[2,1,4,3,6,7,8,5,10,9]=>[1,3,5,6,7,10,2,4,8,9]
[2,1,4,3,8,7,9,10,5,6]=>[6,5,9,1,3,7,10,2,4,8]
[2,1,4,3,6,7,8,9,10,5]=>[1,3,5,6,7,8,10,2,4,9]
[2,1,4,5,6,3,8,7,10,9]=>[1,3,4,5,7,10,2,6,8,9]
[2,1,4,5,6,3,8,9,10,7]=>[1,3,4,5,7,8,10,2,6,9]
[2,1,6,5,7,8,3,4,10,9]=>[4,3,5,10,1,7,2,6,8,9]
[2,1,8,5,9,7,3,10,6,4]=>[10,9,4,3,7,1,6,2,5,8]
[2,1,6,5,7,8,9,10,3,4]=>[4,3,5,6,9,1,7,10,2,8]
[2,1,4,5,6,7,8,3,10,9]=>[1,3,4,5,6,7,10,2,8,9]
[2,1,8,5,6,7,9,10,3,4]=>[4,5,6,3,9,1,7,10,2,8]
[2,1,4,7,6,8,9,3,10,5]=>[5,4,6,10,1,3,8,2,7,9]
[2,1,4,5,6,7,8,9,10,3]=>[1,3,4,5,6,7,8,10,2,9]
[2,3,4,1,6,5,8,7,10,9]=>[1,2,3,5,7,10,4,6,8,9]
[2,3,4,1,6,5,8,9,10,7]=>[1,2,3,5,7,8,10,4,6,9]
[2,3,4,1,6,7,8,5,10,9]=>[1,2,3,5,6,7,10,4,8,9]
[2,3,4,1,8,7,9,10,5,6]=>[6,5,9,1,2,3,7,10,4,8]
[2,3,4,1,6,7,8,9,10,5]=>[1,2,3,5,6,7,8,10,4,9]
[4,3,5,6,1,2,8,7,10,9]=>[2,1,3,7,4,10,5,6,8,9]
[4,3,5,6,1,2,8,9,10,7]=>[2,1,3,7,4,8,10,5,6,9]
[6,3,7,5,1,8,4,2,10,9]=>[7,6,2,1,4,3,10,5,8,9]
[8,3,9,5,1,7,4,10,6,2]=>[4,10,7,2,6,1,9,5,3,8]
[6,3,7,5,1,8,9,10,4,2]=>[6,4,2,1,3,7,10,9,5,8]
[4,3,5,6,7,8,1,2,10,9]=>[2,1,3,4,5,10,7,6,8,9]
[8,3,9,5,6,7,1,10,4,2]=>[4,5,10,9,2,1,7,6,3,8]
[4,3,7,8,6,10,9,2,5,1]=>[3,5,1,4,8,10,2,9,7,6]
[4,3,5,6,7,8,9,10,1,2]=>[2,1,3,4,5,6,9,7,10,8]
[2,3,4,5,6,1,8,7,10,9]=>[1,2,3,4,5,7,10,6,8,9]
[6,3,4,5,7,8,1,2,10,9]=>[2,3,4,1,5,10,7,6,8,9]
[8,3,4,5,9,7,1,10,6,2]=>[10,9,2,3,4,1,7,6,5,8]
[6,3,4,5,7,8,9,10,1,2]=>[2,3,4,1,5,6,9,7,10,8]
[2,5,4,6,7,1,8,3,10,9]=>[3,2,4,7,1,5,10,6,8,9]
[8,5,4,6,7,1,9,10,3,2]=>[3,2,4,7,5,1,10,9,6,8]
[2,7,4,8,6,1,9,5,10,3]=>[8,7,3,2,5,1,4,10,6,9]
[2,5,4,6,7,8,9,1,10,3]=>[3,2,4,5,6,10,1,8,7,9]
[2,3,4,5,6,7,8,1,10,9]=>[1,2,3,4,5,6,7,10,8,9]
[8,3,4,5,6,7,9,10,1,2]=>[2,3,4,5,6,1,9,7,10,8]
[2,7,4,5,6,8,9,1,10,3]=>[3,4,5,2,6,10,1,8,7,9]
[2,3,6,5,7,8,1,9,10,4]=>[4,3,5,8,1,2,6,10,7,9]
[4,5,2,3,6,7,8,9,10,1]=>[3,1,4,2,5,6,7,8,10,9]
[4,3,2,5,6,7,8,9,10,1]=>[3,2,1,4,5,6,7,8,10,9]
[5,6,7,2,3,4,8,9,10,1]=>[4,1,5,2,6,3,7,8,10,9]
[5,3,6,2,4,7,8,9,10,1]=>[2,4,1,5,3,6,7,8,10,9]
[5,4,3,2,6,7,8,9,10,1]=>[4,3,2,1,5,6,7,8,10,9]
[6,7,8,9,2,3,4,5,10,1]=>[5,1,6,2,7,3,8,4,10,9]
[6,3,7,8,2,4,5,9,10,1]=>[5,6,2,1,3,7,4,8,10,9]
[6,7,4,5,2,3,8,9,10,1]=>[5,3,1,6,4,2,7,8,10,9]
[6,4,3,7,2,5,8,9,10,1]=>[3,2,5,1,6,4,7,8,10,9]
[6,5,4,3,2,7,8,9,10,1]=>[5,4,3,2,1,6,7,8,10,9]
[7,8,9,10,1,3,4,5,6,2]=>[6,7,1,8,2,10,5,3,9,4]
[7,3,8,9,10,2,4,5,6,1]=>[6,7,3,1,8,2,4,10,9,5]
[7,4,3,8,9,2,5,6,10,1]=>[2,6,7,3,1,4,8,5,10,9]
[7,5,8,3,6,2,4,9,10,1]=>[4,2,6,1,7,5,3,8,10,9]
[7,5,4,3,8,2,6,9,10,1]=>[4,3,2,6,1,7,5,8,10,9]
[7,6,5,4,3,2,8,9,10,1]=>[6,5,4,3,2,1,7,8,10,9]
[8,5,9,3,6,10,2,4,7,1]=>[2,7,4,5,1,8,3,10,9,6]
[8,5,4,3,9,10,2,6,7,1]=>[3,2,7,8,4,1,5,10,9,6]
[8,9,6,7,4,5,2,3,10,1]=>[7,5,3,1,8,6,4,2,10,9]
[8,6,4,9,3,7,2,5,10,1]=>[3,5,2,7,1,8,6,4,10,9]
[8,6,5,4,3,9,2,7,10,1]=>[5,4,3,2,7,1,8,6,10,9]
[8,7,6,5,4,3,2,9,10,1]=>[7,6,5,4,3,2,1,8,10,9]
[9,7,5,4,10,3,8,2,6,1]=>[4,3,6,2,8,1,10,9,7,5]
[9,7,6,5,4,3,10,2,8,1]=>[6,5,4,3,2,8,1,10,9,7]
[10,1,9,2,8,3,7,4,6,5]=>[10,8,9,6,7,4,5,2,3,1]
[1,4,3,6,5,10,9,7,8,2]=>[8,10,2,4,9,3,5,7,1,6]
[1,4,3,8,7,5,6,10,9,2]=>[10,6,2,5,3,4,7,9,1,8]
[1,4,3,10,7,5,9,6,8,2]=>[8,5,10,2,6,9,3,7,1,4]
[1,4,3,10,9,8,5,6,7,2]=>[7,8,10,9,2,6,3,5,1,4]
[1,6,5,3,4,8,7,10,9,2]=>[6,3,2,10,4,5,7,9,1,8]
[1,6,5,3,4,10,9,7,8,2]=>[3,2,8,10,9,4,5,7,1,6]
[1,8,5,3,7,4,6,10,9,2]=>[3,10,6,4,5,2,7,9,1,8]
[1,10,5,3,7,4,9,6,8,2]=>[3,8,5,10,4,6,9,7,1,2]
[1,10,5,3,9,8,4,6,7,2]=>[3,7,8,10,9,4,6,5,1,2]
[1,8,7,6,3,4,5,10,9,2]=>[10,5,6,4,3,2,7,9,1,8]
[1,10,7,6,3,4,9,5,8,2]=>[8,10,5,4,3,6,9,7,1,2]
[1,10,9,6,3,8,4,5,7,2]=>[7,8,4,10,5,9,6,3,1,2]
[1,10,9,8,7,3,4,5,6,2]=>[6,7,8,10,9,5,4,3,1,2]
[3,1,2,6,5,8,7,10,9,4]=>[1,4,6,10,5,7,9,2,3,8]
[3,1,2,6,5,10,9,7,8,4]=>[8,10,1,4,9,5,7,2,3,6]
[3,1,2,8,7,5,6,10,9,4]=>[10,6,1,5,4,7,9,2,3,8]
[3,1,2,10,7,5,9,6,8,4]=>[8,5,10,1,6,9,7,2,3,4]
[3,1,2,10,9,8,5,6,7,4]=>[7,8,10,9,1,6,5,2,3,4]
[3,1,5,2,4,8,7,10,9,6]=>[1,3,6,10,7,9,2,4,5,8]
[3,1,5,2,4,10,9,7,8,6]=>[8,10,1,3,9,7,2,4,5,6]
[3,1,5,2,7,4,6,10,9,8]=>[1,3,5,10,9,2,4,6,7,8]
[3,1,5,2,9,8,4,6,7,10]=>[1,3,7,8,9,6,2,4,5,10]
[3,1,7,6,2,4,5,10,9,8]=>[10,9,1,5,4,2,3,6,7,8]
[3,1,7,6,2,4,9,5,8,10]=>[8,9,1,5,4,2,3,6,7,10]
[3,1,9,6,2,8,4,5,7,10]=>[7,8,1,4,9,5,6,2,3,10]
[3,1,9,8,7,2,4,5,6,10]=>[6,7,8,9,1,5,4,2,3,10]
[5,4,1,2,3,8,7,10,9,6]=>[6,2,1,10,7,9,3,4,5,8]
[5,4,1,2,3,10,9,7,8,6]=>[2,1,8,10,9,7,3,4,5,6]
[5,4,1,2,7,3,6,10,9,8]=>[5,2,1,10,9,3,4,6,7,8]
[5,4,1,2,7,3,9,6,8,10]=>[8,5,2,1,9,3,4,6,7,10]
[5,4,1,2,9,8,3,6,7,10]=>[7,2,1,8,9,6,3,4,5,10]
[7,4,1,6,2,3,5,10,9,8]=>[2,10,9,5,3,4,1,6,7,8]
[7,4,1,6,2,3,9,5,8,10]=>[8,2,9,5,3,4,1,6,7,10]
[9,4,1,6,2,8,3,5,7,10]=>[7,2,8,4,9,3,5,6,1,10]
[9,4,1,8,7,2,3,5,6,10]=>[6,2,7,8,9,5,3,4,1,10]
[7,6,5,1,2,3,4,10,9,8]=>[10,9,4,5,3,2,1,6,7,8]
[7,6,5,1,2,3,9,4,8,10]=>[8,9,4,5,3,2,1,6,7,10]
[9,6,5,1,2,8,3,4,7,10]=>[7,8,9,4,3,2,5,6,1,10]
[9,8,5,1,7,2,3,4,6,10]=>[6,7,8,3,9,4,5,2,1,10]
[9,1,2,3,4,5,6,10,8,7]=>[10,9,2,3,4,5,6,7,1,8]
[9,1,2,3,4,5,10,7,8,6]=>[8,10,9,2,3,4,5,6,1,7]
[10,1,2,3,4,9,6,7,8,5]=>[7,8,10,9,2,3,4,5,6,1]
[10,1,9,3,4,5,6,7,8,2]=>[4,5,6,7,8,10,9,2,3,1]
[10,1,2,3,4,5,6,8,9,7]=>[8,10,2,3,4,5,6,7,9,1]
[1,3,2,10,6,5,4,9,8,7]=>[5,10,6,9,2,7,8,1,3,4]
[1,6,3,2,5,4,10,9,8,7]=>[10,9,3,2,5,8,1,4,6,7]
[1,6,3,2,10,5,4,9,8,7]=>[10,6,2,9,3,7,8,1,4,5]
[1,10,6,3,2,5,4,9,8,7]=>[10,4,6,3,9,5,7,8,1,2]
[1,6,3,2,10,9,5,4,8,7]=>[7,2,10,8,9,3,6,1,4,5]
[1,10,6,3,2,9,5,4,8,7]=>[7,10,4,3,8,9,5,6,1,2]
[3,1,2,6,5,4,10,9,8,7]=>[10,1,4,9,5,8,2,3,6,7]
[3,1,2,10,6,5,4,9,8,7]=>[5,10,1,6,9,7,8,2,3,4]
[3,1,6,2,5,4,10,9,8,7]=>[3,10,1,9,5,8,2,4,6,7]
[3,1,6,2,10,5,4,9,8,7]=>[3,10,1,6,9,7,8,2,4,5]
[3,1,10,6,2,5,4,9,8,7]=>[10,6,1,4,9,5,7,8,2,3]
[3,1,6,2,10,9,5,4,8,7]=>[3,7,10,1,8,9,6,2,4,5]
[3,1,10,6,2,9,5,4,8,7]=>[7,4,10,1,8,9,5,6,2,3]
[6,3,1,2,5,4,10,9,8,7]=>[10,2,9,5,1,8,3,4,6,7]
[6,3,1,2,10,5,4,9,8,7]=>[10,2,6,1,9,7,8,3,4,5]
[6,3,1,10,2,5,4,9,8,7]=>[10,2,6,1,9,5,7,8,3,4]
[10,6,3,1,2,5,4,9,8,7]=>[3,10,6,9,4,2,5,7,8,1]
[6,3,1,2,10,9,5,4,8,7]=>[7,10,2,1,8,9,6,3,4,5]
[6,3,1,10,2,9,5,4,8,7]=>[7,10,2,1,8,9,5,6,3,4]
[10,6,3,1,2,9,5,4,8,7]=>[3,7,10,8,2,9,4,5,6,1]
[3,1,6,5,2,4,10,9,8,7]=>[3,10,1,4,9,8,2,5,6,7]
[3,1,6,5,2,10,4,9,8,7]=>[3,10,1,4,9,7,8,2,5,6]
[3,1,10,6,5,2,4,9,8,7]=>[5,4,10,1,9,6,7,8,2,3]
[3,1,6,5,2,10,9,4,8,7]=>[3,10,1,4,8,9,7,2,5,6]
[3,1,10,6,5,2,9,4,8,7]=>[5,4,10,1,8,9,6,7,2,3]
[6,3,1,5,2,4,10,9,8,7]=>[10,2,4,1,9,8,3,5,6,7]
[6,3,1,5,2,10,4,9,8,7]=>[10,2,4,1,9,7,8,3,5,6]
[6,3,1,10,5,2,4,9,8,7]=>[5,10,2,1,9,6,7,8,3,4]
[10,6,3,1,5,2,4,9,8,7]=>[3,5,10,9,4,2,6,7,8,1]
[6,3,1,5,2,10,9,4,8,7]=>[10,2,4,1,8,9,7,3,5,6]
[6,3,1,10,5,2,9,4,8,7]=>[5,10,2,1,8,9,6,7,3,4]
[10,6,3,1,5,2,9,4,8,7]=>[3,5,10,8,2,9,4,6,7,1]
[6,3,1,10,9,5,2,4,8,7]=>[10,7,2,1,6,8,9,5,3,4]
[10,6,3,1,9,5,2,4,8,7]=>[10,3,7,6,2,8,9,4,5,1]
[3,1,6,5,2,10,9,8,4,7]=>[3,9,10,1,4,8,7,2,5,6]
[3,1,10,6,5,2,9,8,4,7]=>[5,4,9,10,1,8,6,7,2,3]
[6,3,1,5,2,10,9,8,4,7]=>[9,10,2,1,4,8,7,3,5,6]
[6,3,1,10,5,2,9,8,4,7]=>[5,9,1,10,2,8,6,7,3,4]
[10,6,3,1,5,2,9,8,4,7]=>[3,5,9,2,10,8,4,6,7,1]
[6,3,1,10,9,5,2,8,4,7]=>[9,6,1,10,2,7,8,5,3,4]
[1,9,2,10,3,4,5,6,7,8]=>[5,6,7,8,9,10,3,1,2,4]
[1,4,2,3,6,5,8,7,10,9]=>[5,2,7,10,1,3,4,6,8,9]
[1,3,4,2,6,5,8,7,10,9]=>[2,3,5,7,10,1,4,6,8,9]
[2,1,3,4,5,6,7,10,8,9]=>[1,9,10,2,3,4,5,6,7,8]
[10,2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,9,8,10,1]
[3,10,1,4,5,6,7,8,9,2]=>[1,4,5,6,7,8,10,3,9,2]
[8,1,10,3,4,5,6,7,2,9]=>[4,5,6,7,9,8,1,10,2,3]
[8,2,1,10,4,5,6,7,3,9]=>[5,6,7,9,2,8,1,10,3,4]
[7,10,8,3,4,5,6,1,2,9]=>[4,5,1,8,6,9,7,3,10,2]
[3,9,1,2,10,5,6,7,8,4]=>[6,7,8,10,1,9,3,4,2,5]
[1,2,3,4,8,9,10,5,6,7]=>[8,5,9,6,10,1,2,3,4,7]
[1,2,3,4,5,8,10,6,9,7]=>[6,10,8,9,1,2,3,4,5,7]
[1,2,7,8,9,10,3,4,5,6]=>[7,3,8,4,9,5,10,1,2,6]
[1,2,3,7,8,10,4,5,9,6]=>[4,10,7,5,8,9,1,2,3,6]
[1,2,3,4,9,10,7,8,5,6]=>[9,7,5,10,8,1,2,3,4,6]
[1,2,3,4,7,10,5,9,8,6]=>[10,5,9,7,8,1,2,3,4,6]
[1,6,7,8,10,2,3,4,9,5]=>[2,10,6,3,7,4,8,9,1,5]
[1,2,6,9,10,3,7,8,4,5]=>[9,3,7,10,6,4,8,1,2,5]
[1,2,6,7,10,3,4,9,8,5]=>[3,4,10,9,6,7,8,1,2,5]
[1,2,3,8,10,6,9,4,7,5]=>[6,4,10,8,9,7,1,2,3,5]
[5,6,9,10,1,2,7,8,3,4]=>[1,2,9,7,10,5,6,3,8,4]
[1,8,9,10,5,6,7,2,3,4]=>[8,5,2,9,6,3,10,7,1,4]
[1,5,8,10,2,6,9,3,7,4]=>[6,10,2,8,3,9,5,7,1,4]
[1,5,6,10,2,3,9,8,7,4]=>[10,2,3,9,8,5,6,7,1,4]
[1,2,9,10,7,8,5,6,3,4]=>[9,7,5,3,10,8,6,1,2,4]
[1,2,5,10,3,9,8,7,6,4]=>[10,9,8,3,7,5,6,1,2,4]
[7,8,10,4,5,9,1,2,6,3]=>[4,1,10,7,5,2,8,9,6,3]
[4,7,10,1,5,9,2,8,6,3]=>[10,5,1,2,9,7,8,4,6,3]
[1,6,10,4,9,2,8,7,5,3]=>[10,2,9,4,8,6,7,5,1,3]
[1,4,10,2,9,8,7,6,5,3]=>[10,9,8,7,2,6,4,5,1,3]
[5,10,3,9,1,8,7,6,4,2]=>[10,9,1,8,3,7,5,6,4,2]
[2,3,4,5,6,7,10,9,8,1]=>[10,9,1,2,3,4,5,6,8,7]
[2,3,4,5,6,9,8,10,7,1]=>[7,6,10,1,2,3,4,5,9,8]
[10,5,9,4,8,3,7,2,6,1]=>[2,4,6,8,10,9,7,5,3,1]
[1,3,5,2,4,7,6,9,8,10]=>[6,2,3,9,1,4,5,7,8,10]
[1,4,2,5,3,7,6,9,8,10]=>[4,2,6,9,1,3,5,7,8,10]
[10,3,1,5,6,7,8,9,2,4]=>[2,4,5,6,9,7,10,3,8,1]
[10,4,1,5,6,7,8,9,2,3]=>[4,2,5,6,9,7,10,3,8,1]
[4,2,6,8,10,1,3,5,7,9]=>[1,6,3,7,8,2,4,9,10,5]
[4,6,2,8,10,1,3,5,7,9]=>[1,6,7,2,8,3,4,9,10,5]
[4,6,8,2,10,1,3,5,7,9]=>[1,4,6,2,7,8,3,9,10,5]
[4,6,8,10,2,1,3,5,7,9]=>[6,1,5,2,7,8,3,9,10,4]
[4,6,8,2,9,1,3,5,7,10]=>[1,4,6,2,7,8,3,9,5,10]
[4,6,2,7,9,1,3,5,8,10]=>[1,6,7,3,2,4,8,9,5,10]
[4,2,5,7,9,1,3,6,8,10]=>[3,1,6,7,2,4,8,9,5,10]
[2,3,5,7,9,1,4,6,8,10]=>[3,6,7,1,2,4,8,9,5,10]
[9,7,10,8,6,5,4,3,2,1]=>[10,2,1,9,8,7,6,5,4,3]
[9,7,5,10,8,6,4,3,2,1]=>[2,10,9,3,1,8,7,6,5,4]
[8,9,6,10,7,5,4,3,2,1]=>[1,10,3,2,9,8,7,6,5,4]
[9,7,5,3,10,8,6,4,2,1]=>[10,3,2,9,8,4,1,7,6,5]
[8,9,6,4,10,7,5,3,2,1]=>[3,1,10,9,4,2,8,7,6,5]
[8,5,9,6,10,7,4,3,2,1]=>[10,4,2,1,3,9,8,7,6,5]
[7,8,9,5,10,6,4,3,2,1]=>[1,2,10,4,3,9,8,7,6,5]
[8,9,6,4,2,10,7,5,3,1]=>[10,4,3,1,9,8,5,2,7,6]
[8,5,9,6,3,10,7,4,2,1]=>[4,10,2,1,9,5,3,8,7,6]
[7,8,9,5,3,10,6,4,2,1]=>[1,4,2,10,9,5,3,8,7,6]
[7,8,4,9,5,10,6,3,2,1]=>[1,10,5,3,2,4,9,8,7,6]
[6,7,8,9,4,10,5,3,2,1]=>[1,2,3,10,5,4,9,8,7,6]
[8,5,9,6,3,1,10,7,4,2]=>[10,2,5,4,1,9,8,6,3,7]
[7,8,9,5,3,1,10,6,4,2]=>[1,10,5,4,2,9,8,6,3,7]
[8,5,2,9,6,3,10,7,4,1]=>[2,5,10,9,6,3,1,4,8,7]
[6,7,8,9,4,2,10,5,3,1]=>[1,2,5,3,10,9,6,4,8,7]
[7,3,8,4,9,5,10,6,2,1]=>[10,6,4,2,1,3,5,9,8,7]
[6,7,8,3,9,4,10,5,2,1]=>[1,2,10,6,4,3,5,9,8,7]
[5,6,7,8,9,3,10,4,2,1]=>[1,2,3,4,10,6,5,9,8,7]
[7,8,4,1,9,5,2,10,6,3]=>[3,6,1,10,9,7,4,2,5,8]
[7,3,8,4,9,5,1,10,6,2]=>[6,10,4,2,1,3,9,7,5,8]
[6,7,8,3,9,4,1,10,5,2]=>[1,6,2,10,4,3,9,7,5,8]
[5,6,7,8,9,3,1,10,4,2]=>[1,2,3,6,4,10,9,7,5,8]
[6,7,2,8,3,9,4,10,5,1]=>[1,10,7,5,3,2,4,6,9,8]
[5,6,7,8,2,9,3,10,4,1]=>[1,2,3,10,7,5,4,6,9,8]
[4,5,6,7,8,9,2,10,3,1]=>[1,2,3,4,5,10,7,6,9,8]
[5,6,7,1,8,2,9,3,10,4]=>[1,2,10,8,6,4,3,5,7,9]
[4,5,6,7,8,1,9,2,10,3]=>[1,2,3,4,10,8,6,5,7,9]
[2,1,4,3,6,5,8,10,7,9]=>[1,3,5,7,9,10,2,4,6,8]
[2,1,4,3,6,8,5,10,7,9]=>[9,1,3,5,6,10,2,4,7,8]
[2,1,4,6,3,8,5,10,7,9]=>[4,9,1,3,6,10,2,5,7,8]
[2,3,4,5,6,7,10,8,9,1]=>[8,10,1,2,3,4,5,6,9,7]
[2,3,4,5,6,10,7,8,9,1]=>[7,8,10,1,2,3,4,5,9,6]
[2,3,4,10,5,6,7,8,9,1]=>[5,6,7,8,10,1,2,3,9,4]
[2,3,10,4,5,6,7,8,9,1]=>[4,5,6,7,8,10,1,2,9,3]
[2,1,4,3,6,5,9,8,10,7]=>[8,1,3,5,7,10,2,4,6,9]
[2,1,4,3,7,6,8,5,10,9]=>[6,1,3,5,7,10,2,4,8,9]
[2,1,4,3,7,6,9,8,10,5]=>[5,8,1,3,6,7,10,2,4,9]
[2,1,4,3,8,7,9,6,10,5]=>[6,5,8,1,3,7,10,2,4,9]
[2,1,5,4,6,3,8,7,10,9]=>[4,1,3,5,7,10,2,6,8,9]
[2,1,5,4,6,3,9,8,10,7]=>[3,8,1,4,5,7,10,2,6,9]
[2,1,5,4,7,6,8,3,10,9]=>[3,6,1,4,5,7,10,2,8,9]
[2,1,5,4,7,6,9,8,10,3]=>[3,5,8,1,4,6,7,10,2,9]
[2,1,5,4,8,7,9,6,10,3]=>[6,3,5,8,1,4,7,10,2,9]
[2,1,6,5,7,4,8,3,10,9]=>[4,3,6,1,5,7,10,2,8,9]
[2,1,6,5,7,4,9,8,10,3]=>[4,3,5,8,1,6,7,10,2,9]
[2,1,6,5,8,7,9,4,10,3]=>[3,6,4,5,8,1,7,10,2,9]
[2,1,7,6,8,5,9,4,10,3]=>[4,3,6,5,8,1,7,10,2,9]
[3,2,4,1,6,5,8,7,10,9]=>[2,1,3,5,7,10,4,6,8,9]
[3,2,4,1,6,5,9,8,10,7]=>[1,8,2,3,5,7,10,4,6,9]
[3,2,4,1,7,6,8,5,10,9]=>[1,6,2,3,5,7,10,4,8,9]
[3,2,4,1,7,6,9,8,10,5]=>[1,5,8,2,3,6,7,10,4,9]
[3,2,4,1,8,7,9,6,10,5]=>[6,1,5,8,2,3,7,10,4,9]
[3,2,5,4,6,1,8,7,10,9]=>[1,4,2,3,5,7,10,6,8,9]
[3,2,5,4,6,1,9,8,10,7]=>[1,3,8,2,4,5,7,10,6,9]
[3,2,5,4,7,6,8,1,10,9]=>[1,3,6,2,4,5,7,10,8,9]
[3,2,5,4,7,6,9,8,10,1]=>[1,3,5,8,2,4,6,7,10,9]
[3,2,5,4,8,7,9,6,10,1]=>[6,1,3,5,8,2,4,7,10,9]
[3,2,6,5,7,4,8,1,10,9]=>[4,1,3,6,2,5,7,10,8,9]
[3,2,6,5,7,4,9,8,10,1]=>[4,1,3,5,8,2,6,7,10,9]
[3,2,6,5,8,7,9,4,10,1]=>[3,6,1,4,5,8,2,7,10,9]
[3,2,7,6,8,5,9,4,10,1]=>[4,3,6,1,5,8,2,7,10,9]
[4,3,5,2,6,1,8,7,10,9]=>[2,1,4,3,5,7,10,6,8,9]
[4,3,5,2,6,1,9,8,10,7]=>[2,1,3,8,4,5,7,10,6,9]
[4,3,5,2,7,6,8,1,10,9]=>[2,1,3,6,4,5,7,10,8,9]
[4,3,5,2,7,6,9,8,10,1]=>[2,1,3,5,8,4,6,7,10,9]
[4,3,5,2,8,7,9,6,10,1]=>[1,6,2,3,5,8,4,7,10,9]
[4,3,6,5,7,2,8,1,10,9]=>[1,4,2,3,6,5,7,10,8,9]
[4,3,6,5,7,2,9,8,10,1]=>[1,4,2,3,5,8,6,7,10,9]
[4,3,6,5,8,7,9,2,10,1]=>[1,3,6,2,4,5,8,7,10,9]
[4,3,7,6,8,5,9,2,10,1]=>[4,1,3,6,2,5,8,7,10,9]
[5,4,6,3,7,2,8,1,10,9]=>[2,1,4,3,6,5,7,10,8,9]
[5,4,6,3,7,2,9,8,10,1]=>[2,1,4,3,5,8,6,7,10,9]
[5,4,6,3,8,7,9,2,10,1]=>[2,1,3,6,4,5,8,7,10,9]
[5,4,7,6,8,3,9,2,10,1]=>[1,4,2,3,6,5,8,7,10,9]
[1,2,3,4,5,6,9,7,10,8]=>[10,8,1,2,3,4,5,6,7,9]
[2,3,4,5,6,9,10,1,7,8]=>[8,9,1,2,3,4,5,6,10,7]
[1,2,3,4,5,7,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]
[1,2,3,5,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]
[1,2,3,5,4,7,6,9,8,10]=>[4,6,9,1,2,3,5,7,8,10]
[1,8,9,10,2,3,4,5,6,7]=>[5,6,7,8,2,9,3,10,1,4]
[1,5,6,7,8,9,10,2,3,4]=>[2,3,4,8,5,9,6,10,1,7]
[3,4,2,1,5,6,7,8,9,10]=>[1,4,3,2,5,6,7,8,9,10]
[4,3,1,2,5,6,7,8,9,10]=>[3,4,2,1,5,6,7,8,9,10]
[6,5,4,3,1,2,7,8,9,10]=>[5,6,4,3,2,1,7,8,9,10]
[7,6,5,4,3,1,2,8,9,10]=>[6,7,5,4,3,2,1,8,9,10]
[9,6,5,4,3,10,1,2,7,8]=>[7,5,4,3,2,8,9,1,10,6]
[2,3,4,5,6,7,10,9,1,8]=>[9,10,1,2,3,4,5,6,8,7]
[2,3,4,5,6,10,8,9,1,7]=>[9,7,10,1,2,3,4,5,8,6]
[2,3,4,5,6,10,8,1,9,7]=>[10,8,1,2,3,4,5,7,9,6]
[2,3,4,5,6,10,8,1,7,9]=>[8,9,1,2,3,4,5,7,10,6]
[2,3,4,5,6,10,1,7,8,9]=>[1,2,3,4,5,7,8,9,10,6]
[2,3,4,5,10,7,8,9,1,6]=>[6,9,7,10,1,2,3,4,8,5]
[2,3,4,5,10,7,8,1,9,6]=>[6,10,8,1,2,3,4,7,9,5]
[2,3,4,5,10,7,8,1,6,9]=>[8,6,9,1,2,3,4,7,10,5]
[2,3,4,5,10,7,1,9,6,8]=>[9,6,10,1,2,3,4,7,8,5]
[2,3,4,5,10,7,1,6,8,9]=>[7,8,1,2,3,4,6,9,10,5]
[2,3,4,5,10,1,6,7,8,9]=>[1,2,3,4,6,7,8,9,10,5]
[2,3,4,10,6,7,8,1,9,5]=>[5,6,10,8,1,2,3,7,9,4]
[2,3,4,10,6,7,8,1,5,9]=>[5,8,6,9,1,2,3,7,10,4]
[2,3,4,10,6,7,1,8,9,5]=>[5,8,6,10,1,2,3,7,9,4]
[2,3,4,10,6,7,1,9,5,8]=>[5,9,6,10,1,2,3,7,8,4]
[2,3,4,10,6,7,1,5,8,9]=>[7,5,8,1,2,3,6,9,10,4]
[2,3,4,10,6,1,8,5,9,7]=>[5,10,8,1,2,3,6,7,9,4]
[2,3,4,10,6,1,8,5,7,9]=>[8,5,9,1,2,3,6,7,10,4]
[2,3,4,10,6,1,5,7,8,9]=>[6,7,1,2,3,5,8,9,10,4]
[2,3,4,10,1,5,6,7,8,9]=>[1,2,3,5,6,7,8,9,10,4]
[2,3,10,5,6,1,8,9,4,7]=>[4,5,9,7,10,1,2,6,8,3]
[2,3,10,5,6,1,8,4,9,7]=>[4,5,10,8,1,2,6,7,9,3]
[2,3,10,5,6,1,8,4,7,9]=>[4,8,5,9,1,2,6,7,10,3]
[2,3,10,5,6,1,4,7,8,9]=>[6,4,7,1,2,5,8,9,10,3]
[2,3,10,5,1,7,4,9,6,8]=>[4,9,6,10,1,2,5,7,8,3]
[2,3,10,5,1,7,4,6,8,9]=>[7,4,8,1,2,5,6,9,10,3]
[2,3,10,5,1,4,6,7,8,9]=>[5,6,1,2,4,7,8,9,10,3]
[2,10,4,1,6,3,8,5,9,7]=>[3,5,10,8,1,4,6,7,9,2]
[2,10,4,1,6,3,8,5,7,9]=>[3,8,5,9,1,4,6,7,10,2]
[2,10,4,1,6,3,5,7,8,9]=>[6,3,7,1,4,5,8,9,10,2]
[2,10,4,1,3,5,6,7,8,9]=>[4,5,1,3,6,7,8,9,10,2]
[8,7,6,5,4,3,2,9,1,10]=>[7,6,5,4,3,2,1,9,8,10]
[3,4,5,6,7,8,10,1,2,9]=>[1,2,3,4,5,8,6,9,10,7]
[3,4,5,6,8,9,10,1,2,7]=>[8,1,2,3,4,5,9,6,10,7]
[3,5,6,7,8,9,10,1,2,4]=>[2,3,4,8,1,5,9,6,10,7]
[3,4,5,6,7,8,1,2,9,10]=>[1,2,3,4,7,5,8,6,9,10]
[8,9,10,1,5,6,7,3,4,2]=>[5,8,6,1,10,9,4,2,7,3]
[8,9,10,5,6,7,1,3,4,2]=>[8,4,1,10,7,5,2,9,6,3]
[8,9,10,1,5,6,3,4,7,2]=>[7,5,8,6,1,10,4,2,9,3]
[8,9,10,5,6,1,3,4,7,2]=>[7,8,4,1,10,6,5,2,9,3]
[8,9,10,5,6,3,4,7,1,2]=>[6,4,1,9,7,5,2,10,8,3]
[8,9,5,6,10,1,3,4,7,2]=>[7,3,8,4,1,10,6,2,9,5]
[8,9,5,6,10,3,4,7,1,2]=>[3,6,4,1,9,7,2,10,8,5]
[8,9,10,1,5,6,7,3,2,4]=>[5,9,8,6,1,10,4,2,7,3]
[8,9,10,5,6,7,1,3,2,4]=>[9,7,4,1,8,5,2,10,6,3]
[8,9,10,1,5,6,3,7,2,4]=>[7,5,9,6,1,10,4,2,8,3]
[8,9,10,5,6,1,3,7,2,4]=>[7,9,4,1,10,6,5,2,8,3]
[8,9,10,5,6,3,7,1,2,4]=>[8,6,4,1,9,5,2,10,7,3]
[8,9,5,6,10,1,3,7,2,4]=>[7,3,9,4,1,10,6,2,8,5]
[8,9,5,6,10,3,7,1,2,4]=>[3,8,6,4,1,9,2,10,7,5]
[8,9,10,1,5,6,3,2,4,7]=>[8,7,5,9,4,1,6,2,10,3]
[8,9,10,5,6,1,3,2,4,7]=>[8,6,7,4,1,9,5,2,10,3]
[8,9,10,5,6,3,1,2,4,7]=>[7,8,6,4,1,9,5,2,10,3]
[8,9,10,5,6,3,2,4,7,1]=>[7,6,4,1,8,5,2,10,9,3]
[8,9,5,6,10,1,3,2,4,7]=>[8,6,3,7,4,1,9,2,10,5]
[8,9,5,6,10,3,1,2,4,7]=>[7,3,8,6,4,1,9,2,10,5]
[8,9,5,6,10,3,2,4,7,1]=>[3,7,6,4,1,8,2,10,9,5]
[8,9,10,1,5,3,6,7,2,4]=>[9,6,5,7,1,10,4,2,8,3]
[8,9,10,5,1,3,6,7,2,4]=>[9,6,7,4,1,10,5,2,8,3]
[8,9,10,5,3,6,7,1,2,4]=>[5,8,4,1,9,6,2,10,7,3]
[8,9,5,10,1,3,6,7,2,4]=>[9,6,3,7,1,10,5,2,8,4]
[8,9,5,10,3,6,7,1,2,4]=>[5,3,8,1,9,6,2,10,7,4]
[8,9,10,1,5,3,6,2,4,7]=>[6,8,5,9,4,1,7,2,10,3]
[8,9,10,5,1,3,6,2,4,7]=>[6,8,9,5,4,1,7,2,10,3]
[8,9,10,5,3,6,1,2,4,7]=>[7,5,8,4,1,9,6,2,10,3]
[8,9,10,5,3,6,2,4,7,1]=>[5,7,4,1,8,6,2,10,9,3]
[8,9,5,10,1,3,6,2,4,7]=>[6,8,3,9,5,1,7,2,10,4]
[8,9,5,10,3,6,1,2,4,7]=>[7,5,3,8,1,9,6,2,10,4]
[8,9,5,10,3,6,2,4,7,1]=>[5,3,7,1,8,6,2,10,9,4]
[8,9,5,3,6,10,1,2,4,7]=>[4,7,3,8,5,1,9,2,10,6]
[8,9,5,3,6,10,2,4,7,1]=>[7,4,3,5,1,8,2,10,9,6]
[8,5,9,10,1,3,6,7,2,4]=>[2,9,6,7,1,10,5,3,8,4]
[8,5,9,10,3,6,7,1,2,4]=>[2,5,8,1,9,6,3,10,7,4]
[8,5,9,10,1,3,6,2,4,7]=>[6,2,8,9,5,1,7,3,10,4]
[8,5,9,10,3,6,1,2,4,7]=>[2,7,5,8,1,9,6,3,10,4]
[8,5,9,10,3,6,2,4,7,1]=>[2,5,7,1,8,6,3,10,9,4]
[10,1,9,5,6,7,8,2,3,4]=>[4,8,5,9,6,10,7,2,3,1]
[9,1,10,8,6,7,2,3,4,5]=>[7,8,9,5,10,6,4,2,1,3]
[8,1,9,10,7,2,3,4,5,6]=>[6,7,8,9,3,1,10,5,2,4]
[10,1,8,9,2,3,4,5,6,7]=>[5,6,7,8,9,3,10,2,4,1]
[3,1,10,9,6,7,8,2,4,5]=>[8,5,9,6,10,1,7,4,2,3]
[3,1,9,10,8,7,2,4,5,6]=>[7,8,9,3,10,1,6,5,2,4]
[3,1,8,9,10,2,4,5,6,7]=>[6,7,8,1,3,9,4,10,2,5]
[4,2,5,1,6,3,8,7,10,9]=>[5,2,1,3,7,10,4,6,8,9]
[4,2,6,1,7,3,8,5,10,9]=>[1,7,5,2,3,10,4,6,8,9]
[4,2,6,1,8,3,9,5,10,7]=>[1,3,10,8,2,6,4,5,7,9]
[4,2,6,1,8,3,9,5,7,10]=>[1,8,3,9,2,6,4,5,7,10]
[4,2,6,1,7,3,5,9,8,10]=>[1,9,6,2,4,3,5,7,8,10]
[4,2,5,1,3,7,6,9,8,10]=>[6,2,1,3,9,4,5,7,8,10]
[8,7,6,5,4,3,1,2,10,9]=>[10,7,6,5,4,3,2,1,8,9]
[10,9,8,7,6,5,4,2,3,1]=>[8,10,9,7,6,5,4,3,2,1]
[2,3,4,5,9,7,8,10,6,1]=>[6,7,5,10,1,2,3,4,9,8]
[2,3,4,9,6,7,8,10,1,5]=>[5,6,9,7,1,2,3,4,10,8]
[2,3,9,5,6,7,8,10,4,1]=>[4,5,6,7,3,10,1,2,9,8]
[2,9,4,5,6,7,8,10,3,1]=>[3,4,5,6,7,2,10,1,9,8]
[9,3,4,5,6,7,8,10,1,2]=>[2,3,4,5,6,9,7,1,10,8]
[2,3,4,5,6,8,10,1,9,7]=>[6,10,1,2,3,4,5,8,9,7]
[2,3,4,5,7,8,1,10,6,9]=>[5,9,1,2,3,4,6,10,7,8]
[2,3,4,6,7,1,8,10,5,9]=>[4,7,1,2,3,5,9,10,6,8]
[2,3,5,6,1,7,8,10,9,4]=>[3,4,10,1,2,6,7,9,5,8]
[2,4,5,1,6,7,8,10,3,9]=>[2,5,1,3,6,7,9,10,4,8]
[3,4,1,5,6,7,8,10,2,9]=>[1,4,2,5,6,7,9,10,3,8]
[3,2,4,5,6,7,8,10,9,1]=>[1,10,2,3,4,5,6,7,9,8]
[8,10,6,9,4,7,2,5,3,1]=>[5,3,1,10,7,9,8,6,4,2]
[8,10,6,9,4,7,5,2,3,1]=>[5,3,1,8,10,9,7,6,4,2]
[8,10,6,9,7,4,5,2,3,1]=>[3,1,8,6,10,9,7,5,4,2]
[8,10,9,6,7,4,5,2,3,1]=>[1,8,6,4,10,9,7,5,3,2]
[1,3,5,7,2,4,6,9,8,10]=>[3,9,2,5,6,1,4,7,8,10]
[2,4,1,5,3,6,7,8,9,10]=>[5,1,3,2,4,6,7,8,9,10]
[5,6,2,1,3,7,4,8,9,10]=>[3,7,4,1,5,2,6,8,9,10]
[3,2,5,1,6,4,7,8,9,10]=>[1,6,2,4,3,5,7,8,9,10]
[6,7,2,1,8,3,4,9,5,10]=>[9,3,6,1,7,4,2,5,8,10]
[3,6,4,1,7,2,8,5,9,10]=>[3,8,1,6,4,2,5,7,9,10]
[3,6,7,2,1,4,8,5,9,10]=>[4,8,1,5,2,6,3,7,9,10]
[4,2,6,1,7,5,3,8,9,10]=>[1,7,6,2,4,3,5,8,9,10]
[4,3,2,6,1,7,5,8,9,10]=>[2,1,7,3,5,4,6,8,9,10]
[3,4,7,1,8,2,9,5,10,6]=>[10,8,1,2,6,4,3,5,7,9]
[7,8,9,3,2,1,4,5,10,6]=>[5,4,10,6,1,7,2,8,3,9]
[4,7,2,5,1,8,3,9,6,10]=>[1,4,9,3,7,5,2,6,8,10]
[4,3,7,8,2,1,5,9,6,10]=>[1,5,9,2,6,3,7,4,8,10]
[3,5,2,7,1,8,6,4,9,10]=>[2,8,1,7,3,5,4,6,9,10]
[5,4,3,2,7,1,8,6,9,10]=>[3,2,1,8,4,6,5,7,9,10]
[5,8,9,2,1,6,3,10,7,4]=>[1,6,10,4,9,5,2,7,3,8]
[5,3,8,6,4,1,9,2,10,7]=>[1,5,4,10,2,8,6,3,7,9]
[3,5,8,2,6,1,9,4,10,7]=>[2,5,10,1,4,8,6,3,7,9]
[5,4,3,8,9,2,1,6,10,7]=>[2,1,6,10,3,7,4,8,5,9]
[6,4,2,8,1,9,7,5,3,10]=>[9,2,1,8,7,3,5,4,6,10]
[4,3,6,2,8,1,9,7,5,10]=>[1,3,9,2,8,4,6,5,7,10]
[6,5,4,3,2,8,1,9,7,10]=>[4,3,2,1,9,5,7,6,8,10]
[5,3,7,2,9,1,10,8,6,4]=>[1,3,10,9,2,8,4,6,5,7]
[5,4,3,7,2,9,1,10,8,6]=>[2,1,4,10,3,9,5,7,6,8]
[7,6,5,4,3,2,9,1,10,8]=>[5,4,3,2,1,10,6,8,7,9]
[1,9,8,10,7,6,5,4,3,2]=>[3,2,10,9,8,7,6,5,1,4]
[2,1,10,3,4,5,6,7,8,9]=>[1,4,5,6,7,8,9,10,2,3]
[3,1,2,10,4,5,6,7,8,9]=>[5,1,6,7,8,9,10,2,3,4]
[4,1,2,3,10,5,6,7,8,9]=>[6,7,1,8,9,10,2,3,4,5]
[5,1,2,3,4,10,6,7,8,9]=>[7,8,9,1,10,2,3,4,5,6]
[6,1,2,3,4,5,10,7,8,9]=>[8,9,10,2,3,1,4,5,6,7]
[7,1,2,3,4,5,6,10,8,9]=>[9,10,2,3,4,5,1,6,7,8]
[10,8,6,4,2,9,7,5,3,1]=>[10,4,3,9,8,5,2,7,6,1]
[10,7,4,1,8,5,2,9,6,3]=>[3,6,10,9,7,4,2,5,8,1]
[9,6,3,8,5,2,10,7,4,1]=>[5,2,10,9,3,6,4,1,8,7]
[9,5,1,7,3,10,6,2,8,4]=>[2,10,8,5,4,7,9,3,1,6]
[10,6,2,7,3,8,4,9,5,1]=>[10,7,5,3,2,4,6,9,8,1]
[7,3,8,4,10,6,2,9,5,1]=>[10,7,4,2,1,3,6,9,8,5]
[8,4,7,3,10,6,2,9,5,1]=>[10,7,2,4,3,1,6,9,8,5]
[10,5,8,3,6,1,9,4,7,2]=>[2,8,4,5,10,9,6,3,7,1]
[9,4,7,2,10,5,8,3,6,1]=>[6,8,2,3,10,9,4,1,7,5]
[10,5,7,2,8,3,9,4,6,1]=>[2,8,10,6,4,3,5,9,7,1]
[8,3,10,5,7,2,9,4,6,1]=>[4,8,10,6,2,1,5,9,7,3]
[8,3,9,4,7,2,10,5,6,1]=>[8,10,4,6,2,1,5,3,9,7]
[9,3,5,7,1,10,4,6,8,2]=>[3,7,8,2,4,10,9,5,1,6]
[10,4,6,8,2,9,3,5,7,1]=>[7,2,3,8,10,5,4,9,6,1]
[10,4,5,6,7,1,8,2,9,3]=>[2,3,4,10,8,6,5,7,9,1]
[8,2,9,3,10,4,5,6,7,1]=>[6,7,8,10,4,2,1,3,9,5]
[9,3,8,2,10,4,5,6,7,1]=>[6,7,8,10,2,4,3,1,9,5]
[5,6,9,3,7,1,10,4,8,2]=>[1,2,8,4,5,10,9,6,3,7]
[5,6,10,4,8,2,9,3,7,1]=>[1,2,4,8,10,6,5,9,7,3]
[5,6,9,3,8,2,10,4,7,1]=>[1,2,8,10,4,6,5,3,9,7]
[6,5,9,3,8,2,10,4,7,1]=>[2,1,8,10,4,6,5,3,9,7]
[9,2,7,6,5,4,10,3,8,1]=>[6,5,4,3,8,10,2,1,9,7]
[10,3,7,6,5,4,8,1,9,2]=>[6,5,4,2,3,10,8,7,9,1]
[9,2,10,3,7,6,5,4,8,1]=>[8,7,6,4,5,10,2,1,9,3]
[7,6,5,4,9,2,10,3,8,1]=>[4,3,2,1,8,10,6,5,9,7]
[6,4,7,5,10,3,9,2,8,1]=>[4,2,1,3,6,8,10,9,7,5]
[6,4,7,5,9,2,10,3,8,1]=>[4,2,1,3,8,10,6,5,9,7]
[7,5,6,4,9,2,10,3,8,1]=>[2,4,3,1,8,10,6,5,9,7]
[6,5,7,4,9,2,10,3,8,1]=>[2,1,4,3,8,10,6,5,9,7]
[5,6,7,3,8,4,9,1,10,2]=>[1,2,6,4,3,5,10,8,7,9]
[5,6,7,3,8,4,10,2,9,1]=>[1,2,6,4,3,5,8,10,9,7]
[5,6,8,4,7,3,10,2,9,1]=>[1,2,4,6,5,3,8,10,9,7]
[6,5,8,4,7,3,10,2,9,1]=>[2,1,4,6,5,3,8,10,9,7]
[4,2,5,6,7,8,9,10,1,3]=>[3,1,4,5,6,9,2,7,10,8]
[7,1,2,3,9,5,6,10,8,4]=>[10,6,7,5,9,2,1,3,4,8]
[6,1,2,9,4,5,3,10,8,7]=>[10,5,6,1,9,7,2,3,4,8]
[9,1,2,3,8,5,10,7,6,4]=>[10,9,6,5,8,2,3,4,1,7]
[9,1,2,8,4,3,10,7,5,6]=>[9,10,5,8,6,2,3,4,1,7]
[8,1,2,7,4,10,6,5,3,9]=>[9,8,5,4,7,10,2,1,3,6]
[9,1,8,3,2,5,10,7,4,6]=>[9,10,4,6,8,5,2,3,1,7]
[8,1,7,3,2,10,6,4,5,9]=>[8,9,4,7,3,10,2,1,5,6]
[7,1,2,3,10,5,6,9,8,4]=>[10,6,7,9,8,2,1,3,4,5]
[6,1,2,10,4,5,3,9,8,7]=>[10,5,6,1,9,7,8,2,3,4]
[8,1,2,3,10,5,9,6,7,4]=>[8,10,6,9,7,2,3,1,4,5]
[8,1,2,10,4,3,9,5,7,6]=>[10,5,8,9,6,7,2,1,3,4]
[7,1,2,10,4,9,5,3,6,8]=>[8,5,7,9,1,10,6,2,3,4]
[8,1,10,3,2,5,9,4,7,6]=>[10,4,6,8,9,5,1,7,2,3]
[7,1,10,3,2,9,4,5,6,8]=>[4,7,8,9,1,10,5,6,2,3]
[10,1,2,3,9,5,8,7,6,4]=>[10,9,6,8,7,2,3,4,5,1]
[10,1,2,9,4,3,8,7,5,6]=>[9,10,5,8,6,7,2,3,4,1]
[10,1,2,9,4,8,3,6,5,7]=>[9,5,7,8,10,6,2,3,4,1]
[9,1,2,8,4,7,6,5,3,10]=>[9,8,5,7,6,2,3,4,1,10]
[10,1,9,3,2,5,8,7,4,6]=>[9,10,4,6,8,5,7,2,3,1]
[10,1,9,3,2,8,5,6,4,7]=>[7,9,4,8,10,5,6,2,3,1]
[9,1,8,3,2,7,6,4,5,10]=>[8,9,4,7,5,6,2,3,1,10]
[8,1,2,3,10,9,5,7,6,4]=>[10,7,9,8,6,2,3,1,4,5]
[8,1,2,10,3,9,4,7,6,5]=>[10,9,7,8,5,6,2,1,3,4]
[7,1,2,10,9,4,6,3,5,8]=>[6,8,9,7,1,10,5,2,3,4]
[8,1,10,2,4,9,3,7,6,5]=>[10,9,5,7,8,4,1,6,2,3]
[7,1,10,2,9,3,6,4,5,8]=>[8,9,6,7,1,10,4,5,2,3]
[10,1,2,3,9,8,5,6,7,4]=>[7,8,10,9,6,2,3,4,5,1]
[10,1,2,9,3,8,4,6,7,5]=>[8,10,7,9,5,6,2,3,4,1]
[10,1,2,9,8,4,3,5,6,7]=>[7,6,8,9,10,5,2,3,4,1]
[9,1,2,8,7,4,5,6,3,10]=>[6,7,9,8,5,2,3,4,1,10]
[10,1,9,2,4,8,3,6,7,5]=>[8,10,5,7,9,4,6,2,3,1]
[10,1,9,2,8,3,4,5,6,7]=>[6,7,8,9,10,4,5,2,3,1]
[9,1,8,2,7,3,5,6,4,10]=>[7,9,6,8,4,5,2,3,1,10]
[10,1,9,8,3,2,6,4,5,7]=>[5,8,9,6,7,10,4,2,3,1]
[9,1,8,7,3,2,4,5,6,10]=>[6,5,7,8,9,4,2,3,1,10]
[8,10,1,3,4,9,2,7,6,5]=>[10,9,4,5,7,1,8,3,6,2]
[7,10,1,3,9,2,6,4,5,8]=>[8,9,4,6,1,7,10,3,5,2]
[10,9,1,3,4,8,2,6,7,5]=>[8,10,4,5,7,9,3,6,2,1]
[10,9,1,3,8,2,4,5,6,7]=>[4,6,7,8,9,10,3,5,2,1]
[9,8,1,3,7,2,5,6,4,10]=>[7,9,4,6,8,3,5,2,1,10]
[10,9,1,8,2,3,6,4,5,7]=>[8,9,5,6,7,10,3,4,2,1]
[9,8,1,7,2,3,4,5,6,10]=>[5,6,7,8,9,3,4,2,1,10]
[7,8,10,1,2,3,4,5,6,9]=>[4,5,6,7,1,8,2,9,10,3]
[4,5,6,7,8,10,1,2,3,9]=>[1,2,3,7,4,8,5,9,10,6]
[1,6,7,5,8,4,9,3,10,2]=>[2,4,3,6,5,8,7,10,1,9]
[1,2,3,4,5,6,8,10,7,9]=>[7,9,10,1,2,3,4,5,6,8]
[8,9,10,4,5,6,2,3,1,7]=>[4,7,5,1,9,8,6,2,10,3]
[8,9,4,5,6,10,2,3,1,7]=>[3,4,7,5,1,9,8,2,10,6]
[8,9,10,4,5,2,3,6,1,7]=>[6,4,7,5,1,9,8,2,10,3]
[8,9,4,5,10,2,3,6,1,7]=>[3,6,4,7,1,9,8,2,10,5]
[8,9,4,5,2,3,6,10,1,7]=>[5,3,6,4,7,1,9,2,10,8]
[8,4,5,9,10,2,3,6,1,7]=>[2,3,6,7,1,9,8,4,10,5]
[8,4,5,9,2,3,6,10,1,7]=>[2,5,3,6,7,1,9,4,10,8]
[8,9,10,4,5,6,2,1,3,7]=>[4,8,7,5,1,9,6,2,10,3]
[8,9,4,5,6,10,2,1,3,7]=>[3,4,8,7,5,1,9,2,10,6]
[8,9,10,4,5,2,6,1,3,7]=>[6,4,8,5,1,9,7,2,10,3]
[8,9,4,5,10,2,6,1,3,7]=>[3,6,4,8,1,9,7,2,10,5]
[8,9,4,5,2,6,10,1,3,7]=>[3,8,5,4,6,1,9,2,10,7]
[8,4,5,9,10,2,6,1,3,7]=>[2,3,6,8,1,9,7,4,10,5]
[8,4,5,9,2,6,10,1,3,7]=>[2,3,8,5,6,1,9,4,10,7]
[8,9,10,4,5,2,1,3,6,7]=>[7,6,4,8,5,1,9,2,10,3]
[8,9,4,5,10,2,1,3,6,7]=>[3,7,6,4,8,1,9,2,10,5]
[8,9,4,5,2,10,1,3,6,7]=>[5,3,7,4,8,1,9,2,10,6]
[8,9,4,5,2,1,3,6,10,7]=>[5,3,10,6,4,7,1,8,2,9]
[8,4,5,9,10,2,1,3,6,7]=>[2,3,7,6,8,1,9,4,10,5]
[8,4,5,9,2,10,1,3,6,7]=>[2,5,3,7,8,1,9,4,10,6]
[8,4,5,9,2,1,3,6,10,7]=>[2,5,3,10,6,7,1,8,4,9]
[8,9,10,4,2,5,6,1,3,7]=>[8,5,4,6,1,9,7,2,10,3]
[8,9,4,10,2,5,6,1,3,7]=>[3,8,5,6,1,9,7,2,10,4]
[8,9,4,2,5,6,10,1,3,7]=>[5,3,8,4,6,1,9,2,10,7]
[8,4,9,10,2,5,6,1,3,7]=>[8,2,5,6,1,9,7,3,10,4]
[8,4,9,2,5,6,10,1,3,7]=>[2,5,8,4,6,1,9,3,10,7]
[8,9,10,4,2,5,1,3,6,7]=>[5,7,4,8,6,1,9,2,10,3]
[8,9,4,10,2,5,1,3,6,7]=>[5,3,7,8,6,1,9,2,10,4]
[8,9,4,2,5,10,1,3,6,7]=>[7,4,3,5,8,1,9,2,10,6]
[8,9,4,2,5,1,3,6,10,7]=>[10,4,3,6,5,7,1,8,2,9]
[8,4,9,10,2,5,1,3,6,7]=>[2,5,7,8,6,1,9,3,10,4]
[8,4,9,2,5,1,3,6,10,7]=>[2,10,4,6,5,7,1,8,3,9]
[8,4,2,5,9,10,1,3,6,7]=>[4,2,7,8,9,3,1,5,10,6]
[8,4,2,5,9,1,3,6,10,7]=>[4,2,10,3,6,7,1,8,5,9]
[4,8,9,10,2,5,6,1,3,7]=>[8,5,6,1,2,9,7,3,10,4]
[4,8,9,2,5,6,10,1,3,7]=>[5,8,1,4,6,2,9,3,10,7]
[4,8,9,10,2,5,1,3,6,7]=>[5,7,8,1,6,2,9,3,10,4]
[4,8,9,2,5,10,1,3,6,7]=>[7,1,4,5,8,2,9,3,10,6]
[4,8,9,2,5,1,3,6,10,7]=>[10,1,4,6,5,7,2,8,3,9]
[4,8,2,5,9,10,1,3,6,7]=>[1,4,7,8,9,3,2,5,10,6]
[4,8,2,5,9,1,3,6,10,7]=>[1,4,10,3,6,7,2,8,5,9]
[4,8,9,10,5,6,7,2,3,1]=>[5,2,8,6,1,3,10,9,7,4]
[7,8,9,10,2,5,6,3,4,1]=>[1,8,6,2,10,5,3,9,7,4]
[5,8,9,10,2,6,7,3,4,1]=>[8,6,1,2,10,5,3,9,7,4]
[2,8,9,10,3,6,7,4,5,1]=>[8,6,2,10,5,3,9,1,7,4]
[5,6,9,10,2,7,8,3,4,1]=>[8,1,2,6,10,5,3,9,7,4]
[2,6,9,10,3,7,8,4,5,1]=>[8,2,6,10,5,3,9,1,7,4]
[7,8,9,10,4,5,6,1,3,2]=>[1,5,2,10,8,6,3,9,7,4]
[4,8,9,10,5,6,7,1,3,2]=>[5,2,10,8,1,6,3,9,7,4]
[7,8,9,10,3,5,6,1,4,2]=>[1,10,5,2,8,6,3,9,7,4]
[5,8,9,10,3,6,7,1,4,2]=>[10,5,1,2,8,6,3,9,7,4]
[3,8,9,10,4,6,7,1,5,2]=>[10,5,2,8,6,1,3,9,7,4]
[5,6,9,10,3,7,8,1,4,2]=>[10,1,2,5,8,6,3,9,7,4]
[3,6,9,10,4,7,8,1,5,2]=>[10,2,5,8,6,1,3,9,7,4]
[7,8,9,10,1,5,6,2,4,3]=>[1,10,8,6,2,9,5,3,7,4]
[5,8,9,10,1,6,7,2,4,3]=>[10,8,1,6,2,9,5,3,7,4]
[4,8,9,10,1,6,7,2,5,3]=>[10,8,6,1,2,9,5,3,7,4]
[1,8,9,10,2,6,7,3,5,4]=>[10,8,6,2,9,5,3,7,1,4]
[5,6,9,10,1,7,8,2,4,3]=>[10,1,2,8,6,9,5,3,7,4]
[4,6,9,10,1,7,8,2,5,3]=>[10,2,8,1,6,9,5,3,7,4]
[1,6,9,10,2,7,8,3,5,4]=>[10,2,8,6,9,5,3,7,1,4]
[7,8,9,10,3,4,6,1,5,2]=>[5,1,6,2,10,8,3,9,7,4]
[6,8,9,10,3,4,7,1,5,2]=>[1,5,6,2,10,8,3,9,7,4]
[3,8,9,10,4,5,7,1,6,2]=>[5,6,2,10,8,1,3,9,7,4]
[6,7,9,10,3,4,8,1,5,2]=>[1,5,2,6,10,8,3,9,7,4]
[3,7,9,10,4,5,8,1,6,2]=>[5,2,6,10,8,1,3,9,7,4]
[7,8,9,10,1,4,6,2,5,3]=>[6,1,10,8,2,9,5,3,7,4]
[6,8,9,10,1,4,7,2,5,3]=>[1,6,10,8,2,9,5,3,7,4]
[4,8,9,10,1,5,7,2,6,3]=>[6,10,8,1,2,9,5,3,7,4]
[1,8,9,10,2,5,7,3,6,4]=>[6,10,8,2,9,5,3,7,1,4]
[6,7,9,10,1,4,8,2,5,3]=>[1,6,2,10,8,9,5,3,7,4]
[4,7,9,10,1,5,8,2,6,3]=>[6,2,10,1,8,9,5,3,7,4]
[1,7,9,10,2,5,8,3,6,4]=>[6,2,10,8,9,5,3,7,1,4]
[4,5,9,10,1,6,8,2,7,3]=>[6,10,1,2,8,9,5,3,7,4]
[1,5,9,10,2,6,8,3,7,4]=>[6,10,2,8,9,5,3,7,1,4]
[6,7,8,10,3,4,9,1,5,2]=>[1,5,2,6,3,10,8,9,7,4]
[3,7,8,10,4,5,9,1,6,2]=>[5,2,6,3,10,1,8,9,7,4]
[6,7,8,10,1,4,9,2,5,3]=>[1,6,2,10,8,3,9,5,7,4]
[4,7,8,10,1,5,9,2,6,3]=>[6,2,10,1,8,3,9,5,7,4]
[1,7,8,10,2,5,9,3,6,4]=>[6,2,10,8,3,9,5,7,1,4]
[4,5,8,10,1,6,9,2,7,3]=>[6,10,1,2,8,3,9,5,7,4]
[6,5,3,1,2,4,8,7,10,9]=>[7,3,10,4,2,1,5,6,8,9]
[8,7,5,3,1,2,4,6,10,9]=>[10,5,4,6,3,7,2,1,8,9]
[10,9,7,5,3,1,2,4,6,8]=>[6,7,5,8,4,9,3,10,2,1]
[7,5,3,1,2,4,6,9,8,10]=>[9,4,3,5,2,6,1,7,8,10]
[5,3,1,2,4,7,6,9,8,10]=>[6,2,9,3,1,4,5,7,8,10]
[2,1,4,3,6,5,9,7,10,8]=>[10,1,3,5,8,2,4,6,7,9]
[2,1,4,3,7,5,8,6,10,9]=>[7,1,3,5,10,2,4,6,8,9]
[2,1,4,3,7,5,9,6,10,8]=>[5,10,1,3,8,2,4,6,7,9]
[2,1,4,3,8,5,9,6,10,7]=>[10,8,1,3,6,2,4,5,7,9]
[2,1,5,3,6,4,8,7,10,9]=>[5,1,3,7,10,2,4,6,8,9]
[2,1,5,3,6,4,9,7,10,8]=>[3,10,1,5,8,2,4,6,7,9]
[2,1,5,3,7,4,8,6,10,9]=>[3,7,1,5,10,2,4,6,8,9]
[2,1,5,3,7,4,9,6,10,8]=>[3,5,10,1,8,2,4,6,7,9]
[2,1,5,3,8,4,9,6,10,7]=>[10,3,8,1,6,2,4,5,7,9]
[2,1,6,3,7,4,8,5,10,9]=>[7,5,1,3,10,2,4,6,8,9]
[2,1,6,3,7,4,9,5,10,8]=>[5,3,10,1,8,2,4,6,7,9]
[2,1,6,3,8,4,9,5,10,7]=>[3,10,8,1,6,2,4,5,7,9]
[2,1,7,3,8,4,9,5,10,6]=>[10,8,6,1,4,2,3,5,7,9]
[3,1,4,2,6,5,9,7,10,8]=>[1,10,3,5,8,2,4,6,7,9]
[3,1,4,2,7,5,8,6,10,9]=>[1,7,3,5,10,2,4,6,8,9]
[3,1,4,2,7,5,9,6,10,8]=>[1,5,10,3,8,2,4,6,7,9]
[3,1,4,2,8,5,9,6,10,7]=>[10,1,8,3,6,2,4,5,7,9]
[3,1,5,2,6,4,9,7,10,8]=>[1,3,10,5,8,2,4,6,7,9]
[3,1,5,2,8,4,9,6,10,7]=>[10,1,3,8,6,2,4,5,7,9]
[3,1,6,2,7,4,8,5,10,9]=>[7,1,5,3,10,2,4,6,8,9]
[3,1,6,2,7,4,9,5,10,8]=>[5,1,3,10,8,2,4,6,7,9]
[3,1,6,2,8,4,9,5,10,7]=>[3,10,1,8,6,2,4,5,7,9]
[3,1,7,2,8,4,9,5,10,6]=>[10,8,1,6,4,2,3,5,7,9]
[4,1,5,2,6,3,9,7,10,8]=>[3,1,10,5,8,2,4,6,7,9]
[4,1,5,2,7,3,8,6,10,9]=>[3,1,7,5,10,2,4,6,8,9]
[4,1,5,2,7,3,9,6,10,8]=>[3,1,5,10,8,2,4,6,7,9]
[4,1,5,2,8,3,9,6,10,7]=>[1,10,3,8,6,2,4,5,7,9]
[4,1,6,2,7,3,8,5,10,9]=>[1,7,5,3,10,2,4,6,8,9]
[4,1,6,2,7,3,9,5,10,8]=>[1,5,3,10,8,2,4,6,7,9]
[4,1,6,2,8,3,9,5,10,7]=>[1,3,10,8,6,2,4,5,7,9]
[4,1,7,2,8,3,9,5,10,6]=>[10,1,8,6,4,2,3,5,7,9]
[5,1,6,2,7,3,9,4,10,8]=>[5,3,1,10,8,2,4,6,7,9]
[5,1,6,2,8,3,9,4,10,7]=>[3,1,10,8,6,2,4,5,7,9]
[5,1,7,2,8,3,9,4,10,6]=>[1,10,8,6,4,2,3,5,7,9]
[2,10,9,8,7,6,5,1,4,3]=>[10,8,9,7,6,5,4,1,3,2]
[9,3,4,5,6,7,1,2,10,8]=>[2,3,4,5,10,7,6,8,1,9]
[1,7,2,8,3,9,4,10,5,6]=>[9,10,7,5,3,1,2,4,6,8]
[1,7,2,8,3,9,10,4,5,6]=>[8,9,6,4,2,10,1,3,5,7]
[1,7,2,8,9,3,4,10,5,6]=>[9,10,6,4,2,7,1,3,5,8]
[1,7,2,8,9,3,10,4,5,6]=>[8,9,4,2,10,6,1,3,5,7]
[1,7,2,8,9,10,3,4,5,6]=>[7,8,4,2,9,5,10,1,3,6]
[1,7,8,2,3,9,4,10,5,6]=>[9,10,7,4,2,5,1,3,6,8]
[1,7,8,2,3,9,10,4,5,6]=>[8,9,6,2,10,4,1,3,5,7]
[1,7,8,2,9,3,4,10,5,6]=>[9,10,6,2,7,4,1,3,5,8]
[1,7,8,2,9,3,10,4,5,6]=>[8,9,2,10,6,4,1,3,5,7]
[1,7,8,2,9,10,3,4,5,6]=>[7,8,2,9,5,3,10,1,4,6]
[1,7,8,9,2,3,4,10,5,6]=>[9,10,5,2,6,3,7,1,4,8]
[1,7,8,9,2,3,10,4,5,6]=>[8,9,2,10,5,3,6,1,4,7]
[1,7,8,9,2,10,3,4,5,6]=>[7,8,2,9,3,10,5,1,4,6]
[7,1,2,8,3,9,4,10,5,6]=>[9,10,7,5,2,3,1,4,6,8]
[7,1,2,8,3,9,10,4,5,6]=>[8,9,6,4,10,2,1,3,5,7]
[7,1,2,8,9,3,4,10,5,6]=>[9,10,6,4,7,2,1,3,5,8]
[7,1,2,8,9,3,10,4,5,6]=>[8,9,4,10,6,2,1,3,5,7]
[7,1,2,8,9,10,3,4,5,6]=>[7,8,4,9,5,1,10,2,3,6]
[7,1,8,2,3,9,4,10,5,6]=>[9,10,7,4,5,2,1,3,6,8]
[7,1,8,2,3,9,10,4,5,6]=>[8,9,6,10,4,2,1,3,5,7]
[7,1,8,2,9,3,4,10,5,6]=>[9,10,6,7,4,2,1,3,5,8]
[7,1,8,2,9,10,3,4,5,6]=>[7,8,9,5,3,1,10,2,4,6]
[7,1,8,9,2,3,4,10,5,6]=>[9,10,5,6,3,1,7,2,4,8]
[7,1,8,9,2,3,10,4,5,6]=>[8,9,10,5,3,1,6,2,4,7]
[7,1,8,9,2,10,3,4,5,6]=>[7,8,9,3,1,10,5,2,4,6]
[7,1,8,9,10,2,3,4,5,6]=>[6,7,8,3,1,9,4,10,2,5]
[7,8,1,2,3,9,4,10,5,6]=>[9,10,7,3,4,1,5,2,6,8]
[7,8,1,2,3,9,10,4,5,6]=>[8,9,6,10,3,1,4,2,5,7]
[7,8,1,2,9,3,4,10,5,6]=>[9,10,6,7,3,1,4,2,5,8]
[7,8,1,2,9,3,10,4,5,6]=>[8,9,10,6,3,1,4,2,5,7]
[7,8,1,2,9,10,3,4,5,6]=>[7,8,9,5,1,10,3,2,4,6]
[7,8,1,9,2,3,4,10,5,6]=>[9,10,5,6,1,7,3,2,4,8]
[7,8,1,9,2,3,10,4,5,6]=>[8,9,10,5,1,6,3,2,4,7]
[7,8,1,9,2,10,3,4,5,6]=>[7,8,9,1,10,5,3,2,4,6]
[7,8,1,9,10,2,3,4,5,6]=>[6,7,8,1,9,4,2,10,3,5]
[7,8,9,1,2,3,4,10,5,6]=>[9,10,4,5,1,6,2,7,3,8]
[7,8,9,1,2,3,10,4,5,6]=>[8,9,10,4,1,5,2,6,3,7]
[7,8,9,1,2,10,3,4,5,6]=>[7,8,9,1,10,4,2,5,3,6]
[7,8,9,1,10,2,3,4,5,6]=>[6,7,8,1,9,2,10,4,3,5]
[1,8,9,10,7,6,5,4,3,2]=>[2,3,10,9,8,7,6,5,1,4]
[1,7,8,9,10,6,5,4,3,2]=>[2,3,4,10,9,8,7,6,1,5]
[1,6,7,8,9,10,5,4,3,2]=>[2,3,4,5,10,9,8,7,1,6]
[1,5,6,7,8,9,10,4,3,2]=>[2,3,4,5,6,10,9,8,1,7]
[1,4,5,6,7,8,9,10,3,2]=>[2,3,4,5,6,7,10,9,1,8]
[7,2,8,9,10,1,3,4,5,6]=>[6,7,8,3,1,9,2,4,10,5]
[9,10,6,4,2,1,3,5,8,7]=>[5,10,6,4,7,3,8,1,9,2]
[10,7,8,4,2,1,3,6,5,9]=>[5,9,6,4,7,2,8,3,10,1]
[9,7,10,4,2,1,3,6,8,5]=>[5,8,4,10,6,2,7,1,9,3]
[8,9,10,4,2,1,3,7,6,5]=>[10,5,4,9,6,1,7,2,8,3]
[10,8,5,6,2,1,4,3,7,9]=>[5,8,6,3,7,4,9,2,10,1]
[9,10,5,6,2,1,4,3,8,7]=>[5,7,3,10,6,4,8,1,9,2]
[10,7,5,8,2,1,4,6,3,9]=>[5,7,3,9,6,2,8,4,10,1]
[9,7,5,10,2,1,4,6,8,3]=>[5,7,3,8,2,10,6,1,9,4]
[8,9,5,10,2,1,4,7,6,3]=>[10,5,3,7,1,9,6,2,8,4]
[10,6,7,8,2,1,5,4,3,9]=>[9,5,2,8,6,3,7,4,10,1]
[9,6,7,10,2,1,5,4,8,3]=>[8,5,2,7,3,10,6,1,9,4]
[8,6,9,10,2,1,5,7,4,3]=>[7,2,10,5,1,9,6,3,8,4]
[7,8,9,10,2,1,6,5,4,3]=>[1,10,9,5,2,8,6,3,7,4]
[10,8,6,3,4,2,1,5,7,9]=>[4,7,6,5,8,3,9,2,10,1]
[9,10,6,3,4,2,1,5,8,7]=>[4,6,5,10,7,3,8,1,9,2]
[10,7,8,3,4,2,1,6,5,9]=>[4,6,5,9,7,2,8,3,10,1]
[9,7,10,3,4,2,1,6,8,5]=>[4,6,5,8,2,10,7,1,9,3]
[8,9,10,3,4,2,1,7,6,5]=>[4,5,10,6,1,9,7,2,8,3]
[10,8,5,3,6,2,4,1,7,9]=>[4,6,3,8,7,5,9,2,10,1]
[9,10,5,3,6,2,4,1,8,7]=>[4,6,3,7,5,10,8,1,9,2]
[10,7,5,3,8,2,4,6,1,9]=>[4,6,3,7,2,9,8,5,10,1]
[9,7,5,3,10,2,4,6,8,1]=>[4,6,3,7,2,8,1,10,9,5]
[8,9,5,3,10,2,4,7,6,1]=>[10,4,3,6,1,7,2,9,8,5]
[10,6,7,3,8,2,5,4,1,9]=>[9,4,2,6,3,8,7,5,10,1]
[9,6,7,3,10,2,5,4,8,1]=>[8,4,2,6,3,7,1,10,9,5]
[8,6,9,3,10,2,5,7,4,1]=>[7,2,10,4,1,6,3,9,8,5]
[7,8,9,3,10,2,6,5,4,1]=>[1,10,9,4,2,6,3,8,7,5]
[10,8,4,5,6,3,2,1,7,9]=>[3,4,8,7,6,5,9,2,10,1]
[9,10,4,5,6,3,2,1,8,7]=>[3,4,7,6,5,10,8,1,9,2]
[10,7,4,5,8,3,2,6,1,9]=>[3,4,7,6,2,9,8,5,10,1]
[9,7,4,5,10,3,2,6,8,1]=>[3,4,7,6,2,8,1,10,9,5]
[8,9,4,5,10,3,2,7,6,1]=>[3,4,6,1,10,7,2,9,8,5]
[10,6,4,7,8,3,5,2,1,9]=>[6,3,2,4,9,8,7,5,10,1]
[9,6,4,7,10,3,5,2,8,1]=>[6,3,2,4,8,7,1,10,9,5]
[8,6,4,9,10,3,5,7,2,1]=>[6,2,7,3,1,4,10,9,8,5]
[7,8,4,9,10,3,6,5,2,1]=>[1,10,6,3,2,4,9,8,7,5]
[10,5,6,7,8,4,3,2,1,9]=>[2,3,4,9,8,7,6,5,10,1]
[9,5,6,7,10,4,3,2,8,1]=>[2,3,4,8,7,6,1,10,9,5]
[8,5,6,9,10,4,3,7,2,1]=>[7,2,3,1,6,4,10,9,8,5]
[7,5,8,9,10,4,6,3,2,1]=>[3,1,6,2,4,10,9,8,7,5]
[2,10,4,5,6,7,9,1,3,8]=>[3,4,5,8,6,9,10,1,7,2]
[10,3,4,5,6,7,1,9,2,8]=>[2,3,4,5,9,6,10,7,8,1]
[10,9,8,6,4,2,1,3,5,7]=>[7,6,8,5,9,4,10,3,2,1]
[10,8,7,6,4,2,1,3,5,9]=>[7,6,8,5,9,4,3,2,10,1]
[10,7,9,6,4,2,1,3,8,5]=>[6,10,7,5,2,8,4,9,3,1]
[10,9,8,7,6,4,2,1,3,5]=>[8,7,9,6,10,5,4,3,2,1]
[10,8,6,5,4,2,1,3,7,9]=>[7,6,8,5,4,3,9,2,10,1]
[10,9,8,6,5,4,2,1,3,7]=>[8,7,9,6,5,4,10,3,2,1]
[10,8,5,7,4,2,1,6,3,9]=>[6,3,9,7,5,8,4,2,10,1]
[10,5,9,7,4,2,1,6,8,3]=>[2,6,8,5,10,7,4,9,3,1]
[10,9,8,5,7,4,2,1,6,3]=>[7,4,10,8,6,9,5,3,2,1]
[10,8,7,6,5,4,2,1,3,9]=>[8,7,9,6,5,4,3,2,10,1]
[10,7,9,6,5,4,2,1,8,3]=>[7,2,10,8,6,5,4,9,3,1]
[10,6,9,8,5,7,2,1,4,3]=>[2,7,10,8,5,9,6,4,3,1]
[10,8,6,4,3,2,1,5,7,9]=>[7,6,5,4,8,3,9,2,10,1]
[10,9,8,6,4,3,2,1,5,7]=>[8,7,6,5,9,4,10,3,2,1]
[10,8,7,6,4,3,2,1,5,9]=>[8,7,6,5,9,4,3,2,10,1]
[10,7,9,6,4,3,2,1,8,5]=>[7,6,5,2,10,8,4,9,3,1]
[10,8,6,3,5,2,4,1,7,9]=>[4,6,8,7,5,3,9,2,10,1]
[10,9,8,6,3,5,2,4,1,7]=>[5,7,9,8,6,4,10,3,2,1]
[10,8,3,7,5,2,4,6,1,9]=>[6,7,3,5,9,8,4,2,10,1]
[10,3,9,7,5,2,4,6,8,1]=>[6,7,5,8,2,4,10,9,3,1]
[10,9,8,3,7,5,2,4,6,1]=>[7,8,4,6,10,9,5,3,2,1]
[10,8,7,6,3,5,2,4,1,9]=>[5,7,9,8,6,4,3,2,10,1]
[10,7,9,6,3,5,2,4,8,1]=>[5,7,2,8,6,4,10,9,3,1]
[10,9,3,8,6,5,2,7,4,1]=>[10,7,6,3,5,9,8,4,2,1]
[10,9,8,7,6,3,5,2,4,1]=>[6,8,10,9,7,5,4,3,2,1]
[10,8,6,5,4,3,2,1,7,9]=>[8,7,6,5,4,3,9,2,10,1]
[10,8,5,7,4,3,2,6,1,9]=>[3,7,6,5,9,8,4,2,10,1]
[10,5,9,7,4,3,2,6,8,1]=>[7,2,6,5,8,4,10,9,3,1]
[10,9,8,5,7,4,3,2,6,1]=>[4,8,7,6,10,9,5,3,2,1]
[10,8,4,7,6,3,5,2,1,9]=>[6,9,3,8,7,5,4,2,10,1]
[10,4,9,7,6,3,5,2,8,1]=>[6,8,7,2,5,4,10,9,3,1]
[10,4,9,6,8,3,5,7,2,1]=>[6,4,7,10,2,9,8,5,3,1]
[10,9,8,4,7,6,3,5,2,1]=>[7,10,4,9,8,6,5,3,2,1]
[10,7,9,6,5,4,3,2,8,1]=>[2,8,7,6,5,4,10,9,3,1]
[10,6,9,8,5,4,3,7,2,1]=>[7,2,6,5,10,9,8,4,3,1]
[10,5,9,8,7,4,6,3,2,1]=>[6,10,9,2,8,7,5,4,3,1]
[3,2,8,9,10,1,4,5,6,7]=>[6,7,8,1,3,9,2,4,10,5]
[2,3,4,5,8,9,10,1,6,7]=>[8,5,9,1,2,3,4,6,10,7]
[2,3,4,7,8,9,10,1,5,6]=>[4,8,5,9,1,2,3,6,10,7]
[2,3,6,7,8,9,10,1,4,5]=>[3,4,8,5,9,1,2,6,10,7]
[2,5,6,7,8,9,10,1,3,4]=>[2,3,4,8,5,9,1,6,10,7]
[1,2,7,3,8,4,9,5,10,6]=>[10,8,6,4,1,2,3,5,7,9]
[4,1,2,3,6,5,8,7,10,9]=>[5,7,1,10,2,3,4,6,8,9]
[7,1,2,3,4,5,9,6,10,8]=>[10,8,2,3,4,5,1,6,7,9]
[3,4,2,5,6,7,8,9,10,1]=>[1,3,2,4,5,6,7,8,10,9]
[3,4,5,2,6,7,8,9,10,1]=>[1,2,4,3,5,6,7,8,10,9]
[3,4,5,6,7,2,8,9,10,1]=>[1,2,3,4,6,5,7,8,10,9]
[3,4,5,6,7,8,2,9,10,1]=>[1,2,3,4,5,7,6,8,10,9]
[3,5,2,1,6,7,8,9,10,4]=>[1,3,5,2,6,7,8,10,4,9]
[3,4,6,2,1,7,8,9,10,5]=>[1,2,4,6,3,7,8,10,5,9]
[3,4,5,7,1,2,8,9,10,6]=>[1,2,3,7,8,4,10,5,6,9]
[3,4,5,6,8,2,1,9,10,7]=>[1,2,3,4,6,8,5,10,7,9]
[3,4,5,6,7,9,2,1,10,8]=>[1,2,3,4,5,7,10,8,6,9]
[3,4,5,6,7,1,8,2,10,9]=>[1,2,3,4,7,5,10,6,8,9]
[1,4,5,6,10,7,8,2,9,3]=>[6,10,2,3,4,8,7,9,1,5]
[2,4,5,6,10,7,1,8,3,9]=>[9,2,3,4,7,1,6,8,10,5]
[3,4,5,6,8,7,1,10,2,9]=>[9,1,2,3,4,6,5,10,7,8]
[3,5,6,7,10,8,1,9,2,4]=>[2,3,4,9,10,1,7,6,8,5]
[1,4,5,9,6,7,2,8,10,3]=>[5,8,2,3,6,10,7,1,4,9]
[10,2,3,4,5,6,7,1,9,8]=>[2,3,4,5,6,7,10,8,9,1]
[10,2,3,4,5,6,1,8,9,7]=>[2,3,4,5,6,8,10,7,9,1]
[10,2,3,4,5,1,7,8,9,6]=>[2,3,4,5,7,8,10,6,9,1]
[10,2,3,4,1,6,7,8,9,5]=>[2,3,4,6,7,8,10,5,9,1]
[10,2,3,1,5,6,7,8,9,4]=>[2,3,5,6,7,8,10,4,9,1]
[10,2,1,4,5,6,7,8,9,3]=>[2,4,5,6,7,8,10,3,9,1]
[2,3,4,5,6,7,1,9,8,10]=>[1,2,3,4,5,6,9,7,8,10]
[2,3,4,5,1,7,6,9,8,10]=>[1,2,3,4,6,9,5,7,8,10]
[3,4,5,6,7,8,10,1,9,2]=>[1,2,3,4,5,6,10,8,9,7]
[7,8,9,6,1,2,3,4,10,5]=>[10,5,6,1,7,2,8,4,3,9]
[2,8,9,10,7,1,3,4,5,6]=>[6,7,8,2,9,3,10,1,5,4]
[8,9,7,5,6,1,2,3,10,4]=>[10,6,7,4,1,8,5,3,2,9]
[2,9,10,8,6,7,1,3,4,5]=>[7,8,9,5,2,10,6,1,4,3]
[7,8,9,5,1,2,3,4,10,6]=>[10,5,6,1,7,4,2,8,3,9]
[7,8,9,1,6,2,3,4,10,5]=>[10,6,7,1,8,4,2,5,3,9]
[2,8,9,10,6,1,3,4,5,7]=>[6,7,8,2,9,5,1,3,10,4]
[2,8,9,10,1,7,3,4,5,6]=>[7,8,9,2,10,5,1,3,6,4]
[4,2,3,5,6,7,8,9,10,1]=>[2,3,1,4,5,6,7,8,10,9]
[9,10,6,7,4,5,2,3,1,8]=>[7,5,3,9,8,6,4,1,10,2]
[8,9,4,5,10,1,2,3,6,7]=>[6,3,7,4,8,1,9,2,10,5]
[8,4,3,9,10,1,2,5,6,7]=>[3,2,6,7,8,1,9,4,10,5]
[9,6,10,1,3,7,8,2,4,5]=>[8,9,5,2,6,10,4,1,7,3]
[9,10,6,7,4,5,1,2,3,8]=>[7,8,5,3,9,6,4,1,10,2]
[9,6,4,10,3,7,1,2,5,8]=>[3,7,5,2,8,9,6,1,10,4]
[10,1,8,9,6,7,4,5,2,3]=>[9,7,5,3,10,8,6,2,4,1]
[10,8,6,1,4,9,3,7,2,5]=>[5,7,9,3,10,8,4,2,6,1]
[10,8,6,5,4,1,3,9,2,7]=>[7,9,5,4,3,10,6,2,8,1]
[10,8,7,6,5,4,3,1,2,9]=>[8,9,7,6,5,4,3,2,10,1]
[1,2,3,4,6,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]
[1,2,3,4,5,6,8,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]
[10,7,6,5,4,3,2,1,8,9]=>[8,7,6,5,4,3,2,9,10,1]
[10,1,2,3,4,5,6,9,8,7]=>[10,9,2,3,4,5,6,7,8,1]
[10,1,2,3,4,5,9,7,8,6]=>[8,10,9,2,3,4,5,6,7,1]
[10,1,2,3,9,5,6,7,8,4]=>[6,7,8,10,9,2,3,4,5,1]
[10,1,2,9,4,5,6,7,8,3]=>[5,6,7,8,10,9,2,3,4,1]
[3,4,5,6,7,9,10,1,8,2]=>[10,1,2,3,4,5,8,6,9,7]
[3,4,5,7,8,9,10,1,6,2]=>[4,5,10,1,2,3,8,6,9,7]
[3,4,6,7,8,9,10,1,5,2]=>[3,4,5,10,1,2,8,6,9,7]
[4,5,6,7,8,9,10,1,3,2]=>[1,2,3,4,5,10,8,6,9,7]
[6,4,5,7,3,8,2,9,1,10]=>[2,3,1,5,4,7,6,9,8,10]
[7,5,1,3,2,6,4,8,9,10]=>[4,7,3,5,2,6,1,8,9,10]
[9,6,1,3,4,2,7,8,5,10]=>[4,5,7,9,3,2,6,8,1,10]
[8,3,6,1,4,2,7,5,9,10]=>[2,5,8,4,6,3,7,1,9,10]
[10,1,8,3,2,5,7,4,9,6]=>[10,4,6,8,5,7,2,3,9,1]
[10,3,7,1,4,5,2,8,9,6]=>[2,5,6,8,10,4,3,7,9,1]
[9,3,4,7,1,5,2,8,6,10]=>[2,3,6,9,5,7,4,8,1,10]
[7,10,1,3,8,2,6,5,9,4]=>[8,7,10,4,1,6,3,5,9,2]
[10,9,5,1,8,2,4,3,6,7]=>[8,6,7,3,9,10,4,5,2,1]
[10,3,4,5,8,1,6,2,9,7]=>[2,3,4,7,10,6,8,5,9,1]
[9,8,7,5,6,4,3,2,10,1]=>[4,8,7,6,5,3,2,1,10,9]
[2,3,4,5,6,9,10,8,7,1]=>[6,10,9,1,2,3,4,5,8,7]
[2,3,4,5,8,9,10,7,6,1]=>[5,6,10,9,1,2,3,4,8,7]
[2,3,4,7,8,9,10,6,5,1]=>[4,5,6,10,9,1,2,3,8,7]
[2,3,6,7,8,9,10,5,4,1]=>[3,4,5,6,10,9,1,2,8,7]
[2,5,6,7,8,9,10,4,3,1]=>[2,3,4,5,6,10,9,1,8,7]
[9,10,2,4,6,8,1,3,5,7]=>[4,7,8,3,5,9,1,10,6,2]
[7,8,2,4,6,10,1,3,5,9]=>[4,7,8,3,1,5,2,9,10,6]
[9,7,10,2,4,6,8,1,3,5]=>[5,8,9,4,2,6,1,10,7,3]
[8,9,10,7,2,4,6,1,3,5]=>[8,5,6,1,9,2,10,7,4,3]
[5,6,2,4,8,10,1,3,7,9]=>[4,1,7,2,8,3,5,9,10,6]
[5,6,9,10,2,4,8,1,3,7]=>[1,2,8,5,6,9,3,10,7,4]
[7,5,8,2,4,6,10,1,3,9]=>[5,2,8,4,1,6,3,9,10,7]
[7,9,5,10,2,4,6,8,1,3]=>[6,3,1,9,5,7,2,10,8,4]
[5,8,9,10,7,2,4,6,1,3]=>[9,6,1,2,7,3,10,8,5,4]
[6,7,8,5,2,4,10,1,3,9]=>[1,8,5,2,6,4,3,9,10,7]
[9,6,7,5,10,2,4,8,1,3]=>[2,9,6,4,3,7,1,10,8,5]
[8,9,6,10,5,7,2,4,1,3]=>[7,3,1,9,5,2,10,8,6,4]
[7,8,9,10,6,5,2,4,1,3]=>[1,7,2,9,3,10,8,6,5,4]
[3,4,2,6,8,10,1,5,7,9]=>[1,2,4,7,8,3,5,9,10,6]
[3,4,9,10,2,6,8,1,5,7]=>[8,5,6,9,1,2,3,10,7,4]
[3,4,7,8,2,6,10,1,5,9]=>[8,5,1,2,3,6,4,9,10,7]
[9,3,4,7,10,2,6,8,1,5]=>[9,6,2,3,4,7,1,10,8,5]
[8,9,10,3,4,7,2,6,1,5]=>[4,5,7,1,9,2,10,8,6,3]
[5,3,6,2,4,8,10,1,7,9]=>[8,2,1,4,3,5,6,9,10,7]
[5,3,6,9,10,2,4,8,1,7]=>[3,1,6,7,9,2,4,10,8,5]
[5,7,3,8,2,4,6,10,1,9]=>[3,1,5,6,2,7,4,9,10,8]
[5,7,9,3,10,2,4,6,8,1]=>[1,4,6,2,7,8,3,10,9,5]
[8,5,9,10,3,7,2,4,6,1]=>[2,5,7,1,8,3,10,9,6,4]
[3,6,7,8,5,2,4,10,1,9]=>[2,6,3,7,1,5,4,9,10,8]
[9,3,6,7,5,10,2,4,8,1]=>[3,7,5,2,4,8,1,10,9,6]
[6,8,3,9,10,5,7,2,4,1]=>[8,1,6,4,2,10,3,9,7,5]
[7,8,9,10,3,6,5,2,4,1]=>[1,8,2,10,5,3,9,7,6,4]
[4,5,6,3,2,8,10,1,7,9]=>[1,2,4,3,8,5,6,9,10,7]
[4,5,6,3,9,10,2,8,1,7]=>[1,2,3,7,9,4,5,10,8,6]
[7,4,5,3,8,2,6,10,1,9]=>[2,4,3,6,1,7,5,9,10,8]
[7,4,5,9,3,10,2,6,8,1]=>[2,3,5,1,7,8,4,10,9,6]
[4,8,5,9,10,3,7,2,6,1]=>[6,8,3,1,2,4,10,9,7,5]
[6,7,4,8,3,5,2,10,1,9]=>[3,1,5,2,7,6,4,9,10,8]
[6,7,9,4,3,5,10,2,8,1]=>[1,5,4,2,6,8,3,10,9,7]
[8,6,9,4,10,3,5,7,2,1]=>[4,2,6,1,7,3,10,9,8,5]
[7,4,8,9,10,6,3,5,2,1]=>[3,1,7,4,10,2,9,8,6,5]
[5,6,7,8,4,3,2,10,1,9]=>[1,2,3,7,6,5,4,9,10,8]
[9,5,6,7,4,3,10,2,8,1]=>[2,3,6,5,4,8,1,10,9,7]
[8,9,5,6,4,10,3,7,2,1]=>[3,5,4,1,7,2,10,9,8,6]
[7,8,9,5,10,4,6,3,2,1]=>[1,4,2,6,3,10,9,8,7,5]
[1,2,4,5,6,8,10,9,3,7]=>[6,9,10,3,4,5,8,1,2,7]
[1,2,3,5,7,8,10,6,9,4]=>[5,6,8,10,4,9,1,2,3,7]
[1,2,4,5,7,8,10,3,9,6]=>[5,6,10,3,4,8,9,1,2,7]
[1,2,4,6,7,5,10,8,3,9]=>[4,5,9,3,6,8,10,1,2,7]
[1,3,4,2,7,8,10,5,9,6]=>[5,6,10,2,3,8,9,1,4,7]
[1,3,4,6,7,2,10,8,5,9]=>[4,5,9,2,3,8,10,1,6,7]
[1,2,3,5,6,9,8,10,7,4]=>[7,6,10,4,5,9,1,2,3,8]
[1,2,4,5,6,9,8,10,3,7]=>[9,7,3,4,5,6,10,1,2,8]
[1,2,3,5,7,9,6,10,8,4]=>[10,5,7,4,6,9,1,2,3,8]
[1,2,4,5,7,9,3,10,8,6]=>[10,5,9,3,4,7,1,2,6,8]
[1,2,4,6,5,9,7,10,3,8]=>[4,7,9,3,5,6,10,1,2,8]
[1,3,4,2,7,9,5,10,8,6]=>[10,5,9,2,3,7,1,4,6,8]
[1,3,4,6,2,9,7,10,5,8]=>[4,7,9,2,3,6,10,1,5,8]
[1,2,3,5,8,7,9,6,10,4]=>[6,5,8,4,7,10,1,2,3,9]
[1,2,4,5,8,7,9,3,10,6]=>[6,5,10,3,4,8,1,2,7,9]
[1,2,4,6,8,5,9,3,10,7]=>[10,4,6,3,5,8,1,2,7,9]
[1,2,4,7,6,8,5,9,3,10]=>[5,4,7,3,6,9,1,2,8,10]
[1,3,4,2,8,7,9,5,10,6]=>[6,5,10,2,3,8,1,4,7,9]
[1,3,4,6,8,2,9,5,10,7]=>[10,4,8,2,3,6,1,5,7,9]
[1,3,4,7,6,8,2,9,5,10]=>[5,4,9,2,3,7,1,6,8,10]
[1,2,3,6,5,9,7,10,8,4]=>[10,4,7,5,6,9,1,2,3,8]
[1,2,4,6,3,9,7,10,8,5]=>[10,4,7,3,6,9,1,2,5,8]
[1,2,5,4,6,9,7,10,3,8]=>[3,7,9,4,5,6,10,1,2,8]
[1,3,2,6,4,9,7,10,8,5]=>[10,4,7,2,6,9,1,3,5,8]
[1,3,5,2,6,9,7,10,4,8]=>[3,7,9,2,5,6,10,1,4,8]
[1,2,3,6,8,5,9,7,10,4]=>[8,4,6,5,7,10,1,2,3,9]
[1,2,4,6,8,3,9,7,10,5]=>[8,4,7,3,5,10,1,2,6,9]
[1,2,5,4,8,6,9,3,10,7]=>[10,3,6,4,5,8,1,2,7,9]
[1,2,5,7,4,8,6,9,3,10]=>[7,3,5,4,6,9,1,2,8,10]
[1,3,2,6,8,4,9,7,10,5]=>[8,4,7,2,5,10,1,3,6,9]
[1,3,5,2,8,6,9,4,10,7]=>[10,3,6,2,5,8,1,4,7,9]
[1,3,5,7,2,8,6,9,4,10]=>[7,3,6,2,4,9,1,5,8,10]
[1,4,3,5,8,2,9,6,10,7]=>[10,2,8,3,4,6,1,5,7,9]
[1,4,3,7,5,8,2,9,6,10]=>[9,2,5,3,4,7,1,6,8,10]
[2,1,3,6,4,9,7,10,8,5]=>[10,4,7,1,6,9,2,3,5,8]
[2,1,5,3,6,9,7,10,4,8]=>[3,7,9,1,5,6,10,2,4,8]
[2,1,3,6,8,4,9,7,10,5]=>[8,4,7,1,5,10,2,3,6,9]
[2,1,5,3,8,6,9,4,10,7]=>[10,3,6,1,5,8,2,4,7,9]
[2,1,5,7,3,8,6,9,4,10]=>[7,3,6,1,4,9,2,5,8,10]
[2,4,1,5,8,3,9,6,10,7]=>[10,2,8,1,4,6,3,5,7,9]
[2,4,1,7,5,8,3,9,6,10]=>[9,2,5,1,4,7,3,6,8,10]
[5,6,1,2,3,7,8,9,10,4]=>[6,7,1,8,2,10,3,4,5,9]
[2,5,1,3,6,7,8,9,10,4]=>[5,6,1,2,7,8,10,3,4,9]
[3,2,1,5,6,7,8,9,10,4]=>[2,1,4,5,6,7,8,10,3,9]
[6,7,8,1,2,3,4,9,10,5]=>[8,10,4,1,5,2,6,3,7,9]
[2,6,7,1,3,4,8,9,10,5]=>[7,8,2,10,1,4,3,5,6,9]
[6,3,4,1,2,7,8,9,10,5]=>[2,6,3,7,1,8,10,4,5,9]
[3,2,6,1,4,7,8,9,10,5]=>[1,6,7,2,3,8,10,4,5,9]
[4,3,2,1,6,7,8,9,10,5]=>[3,2,1,5,6,7,8,10,4,9]
[2,7,8,9,1,3,4,5,10,6]=>[10,5,6,2,7,1,3,8,4,9]
[7,3,4,8,1,2,5,9,10,6]=>[2,3,8,10,5,1,6,4,7,9]
[3,2,7,8,1,4,5,9,10,6]=>[8,10,1,5,2,3,6,4,7,9]
[4,7,2,5,1,3,8,9,10,6]=>[1,7,3,4,8,2,10,5,6,9]
[4,3,2,7,1,5,8,9,10,6]=>[2,1,7,8,3,4,10,5,6,9]
[5,4,3,2,1,7,8,9,10,6]=>[4,3,2,1,6,7,8,10,5,9]
[8,3,4,9,10,1,2,5,6,7]=>[2,3,6,7,8,1,9,4,10,5]
[8,9,4,5,6,1,2,3,10,7]=>[3,10,6,4,7,5,1,8,2,9]
[4,3,2,8,9,1,5,6,10,7]=>[1,10,2,6,7,3,4,8,5,9]
[8,5,6,3,4,1,2,9,10,7]=>[4,2,8,5,3,10,6,1,7,9]
[5,3,8,2,6,1,4,9,10,7]=>[8,2,1,4,5,10,6,3,7,9]
[5,4,3,2,8,1,6,9,10,7]=>[3,2,1,8,10,4,6,5,7,9]
[6,5,4,3,2,1,8,9,10,7]=>[5,4,3,2,1,7,8,10,6,9]
[5,9,10,2,6,7,1,3,4,8]=>[1,7,8,4,5,9,6,2,10,3]
[9,5,6,3,4,10,1,2,7,8]=>[4,2,7,5,3,8,9,1,10,6]
[5,3,9,2,6,10,1,4,7,8]=>[7,2,1,4,5,8,9,3,10,6]
[5,4,3,2,9,10,1,6,7,8]=>[3,2,1,7,8,9,4,5,10,6]
[6,9,4,7,2,5,1,3,10,8]=>[3,1,10,5,7,6,4,8,2,9]
[6,4,3,9,2,7,1,5,10,8]=>[2,10,3,1,5,7,6,8,4,9]
[6,5,4,3,2,9,1,7,10,8]=>[4,3,2,1,10,5,7,8,6,9]
[7,6,5,4,3,2,1,9,10,8]=>[6,5,4,3,2,1,8,10,7,9]
[10,7,8,5,6,3,4,1,2,9]=>[8,6,4,2,9,7,5,3,10,1]
[7,5,10,3,8,2,6,1,4,9]=>[4,2,6,1,8,9,7,5,10,3]
[7,5,4,3,10,2,8,1,6,9]=>[4,3,2,6,1,8,9,7,10,5]
[7,6,5,4,3,2,10,1,8,9]=>[6,5,4,3,2,1,8,9,10,7]
[2,1,8,7,4,3,6,5,10,9]=>[5,7,10,6,1,4,2,3,8,9]
[2,1,4,3,6,5,7,9,10,8]=>[1,3,5,8,10,2,4,6,7,9]
[2,1,4,3,5,7,8,6,10,9]=>[1,3,6,7,10,2,4,5,8,9]
[2,1,4,3,5,7,6,9,10,8]=>[1,3,6,8,10,2,4,5,7,9]
[2,1,4,3,5,6,8,9,10,7]=>[1,3,7,8,10,2,4,5,6,9]
[2,1,3,5,6,4,8,7,10,9]=>[1,4,5,7,10,2,3,6,8,9]
[2,1,3,5,6,4,7,9,10,8]=>[1,4,5,8,10,2,3,6,7,9]
[2,1,3,5,4,7,8,6,10,9]=>[1,4,6,7,10,2,3,5,8,9]
[2,1,3,5,4,7,6,9,10,8]=>[1,4,6,8,10,2,3,5,7,9]
[2,1,3,5,4,6,8,9,10,7]=>[1,4,7,8,10,2,3,5,6,9]
[2,1,3,4,6,7,8,5,10,9]=>[1,5,6,7,10,2,3,4,8,9]
[2,1,3,4,6,7,5,9,10,8]=>[1,5,6,8,10,2,3,4,7,9]
[2,1,3,4,6,5,8,9,10,7]=>[1,5,7,8,10,2,3,4,6,9]
[2,1,3,4,5,7,8,9,10,6]=>[1,6,7,8,10,2,3,4,5,9]
[1,3,4,2,6,5,7,9,10,8]=>[2,3,5,8,10,1,4,6,7,9]
[1,3,4,2,5,7,8,6,10,9]=>[2,3,6,7,10,1,4,5,8,9]
[1,3,4,2,5,7,6,9,10,8]=>[2,3,6,8,10,1,4,5,7,9]
[1,3,4,2,5,6,8,9,10,7]=>[2,3,7,8,10,1,4,5,6,9]
[1,3,2,5,6,4,8,7,10,9]=>[2,4,5,7,10,1,3,6,8,9]
[1,3,2,5,6,4,7,9,10,8]=>[2,4,5,8,10,1,3,6,7,9]
[1,3,2,5,4,7,8,6,10,9]=>[2,4,6,7,10,1,3,5,8,9]
[1,3,2,5,4,7,6,9,10,8]=>[2,4,6,8,10,1,3,5,7,9]
[1,3,2,5,4,6,8,9,10,7]=>[2,4,7,8,10,1,3,5,6,9]
[1,3,2,4,6,7,8,5,10,9]=>[2,5,6,7,10,1,3,4,8,9]
[1,3,2,4,6,7,5,9,10,8]=>[2,5,6,8,10,1,3,4,7,9]
[1,3,2,4,6,5,8,9,10,7]=>[2,5,7,8,10,1,3,4,6,9]
[1,3,2,4,5,7,8,9,10,6]=>[2,6,7,8,10,1,3,4,5,9]
[1,2,4,5,6,3,8,7,10,9]=>[3,4,5,7,10,1,2,6,8,9]
[1,2,4,5,6,3,7,9,10,8]=>[3,4,5,8,10,1,2,6,7,9]
[1,2,4,5,3,7,8,6,10,9]=>[3,4,6,7,10,1,2,5,8,9]
[1,2,4,5,3,7,6,9,10,8]=>[3,4,6,8,10,1,2,5,7,9]
[1,2,4,5,3,6,8,9,10,7]=>[3,4,7,8,10,1,2,5,6,9]
[1,2,4,3,6,7,8,5,10,9]=>[3,5,6,7,10,1,2,4,8,9]
[1,2,4,3,6,7,5,9,10,8]=>[3,5,6,8,10,1,2,4,7,9]
[1,2,4,3,6,5,8,9,10,7]=>[3,5,7,8,10,1,2,4,6,9]
[1,2,4,3,5,7,8,9,10,6]=>[3,6,7,8,10,1,2,4,5,9]
[1,2,3,5,6,7,8,4,10,9]=>[4,5,6,7,10,1,2,3,8,9]
[1,2,3,5,6,7,4,9,10,8]=>[4,5,6,8,10,1,2,3,7,9]
[1,2,3,5,6,4,8,9,10,7]=>[4,5,7,8,10,1,2,3,6,9]
[1,2,3,5,4,7,8,9,10,6]=>[4,6,7,8,10,1,2,3,5,9]
[2,3,4,5,6,10,8,9,7,1]=>[7,10,9,1,2,3,4,5,8,6]
[2,3,4,5,10,7,8,9,6,1]=>[6,7,10,9,1,2,3,4,8,5]
[2,3,4,10,6,7,8,9,5,1]=>[5,6,7,10,9,1,2,3,8,4]
[2,3,10,5,6,7,8,9,4,1]=>[4,5,6,7,10,9,1,2,8,3]
[2,10,4,5,6,7,8,9,3,1]=>[3,4,5,6,7,10,9,1,8,2]
[10,3,4,5,6,7,8,9,2,1]=>[2,3,4,5,6,7,10,9,8,1]
[6,5,7,4,8,3,10,1,9,2]=>[2,1,4,3,6,5,10,8,9,7]
[6,5,7,4,10,1,9,2,8,3]=>[2,1,4,3,10,8,9,6,7,5]
[6,5,10,1,9,2,8,3,7,4]=>[2,1,10,8,9,6,7,4,5,3]
[5,10,1,9,2,8,3,7,4,6]=>[1,9,10,7,8,5,6,3,4,2]
[5,6,4,10,1,9,2,8,3,7]=>[1,3,2,9,10,7,8,5,6,4]
[5,6,4,7,3,10,1,9,2,8]=>[1,3,2,5,4,9,10,7,8,6]
[5,6,4,7,3,8,2,10,1,9]=>[1,3,2,5,4,7,6,9,10,8]
[2,10,1,3,4,5,6,9,7,8]=>[9,10,1,3,4,5,6,7,8,2]
[2,9,1,3,4,5,6,7,10,8]=>[10,1,3,4,5,6,7,8,2,9]
[10,3,1,2,4,5,6,9,7,8]=>[9,2,10,3,4,5,6,7,8,1]
[3,1,10,2,4,5,6,9,7,8]=>[1,9,10,4,5,6,7,8,2,3]
[9,3,1,2,4,5,6,7,10,8]=>[10,3,2,4,5,6,7,8,1,9]
[3,1,9,2,4,5,6,7,10,8]=>[1,10,4,5,6,7,8,2,3,9]
[10,9,3,4,5,6,7,8,1,2]=>[3,4,5,6,9,7,10,8,2,1]
[10,9,2,3,4,5,6,7,1,8]=>[3,4,5,6,7,9,8,10,2,1]
[10,4,5,6,7,8,9,2,1,3]=>[2,3,4,5,9,8,6,10,7,1]
[10,3,4,5,6,7,8,2,1,9]=>[2,3,4,5,6,9,8,7,10,1]
[1,8,5,2,9,6,3,10,7,4]=>[3,6,10,9,7,4,1,2,5,8]
[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,3,6,5,4,2,1]
[8,7,6,4,5,3,2,1,10,9]=>[4,7,6,5,3,2,1,10,8,9]
[10,9,8,6,5,4,7,3,2,1]=>[6,5,4,10,9,8,7,3,2,1]
[8,1,9,10,2,3,4,5,6,7]=>[5,6,7,8,9,3,1,10,2,4]
[5,10,4,9,3,8,2,1,7,6]=>[1,3,5,7,10,8,9,6,4,2]
[5,10,4,9,3,2,8,7,1,6]=>[1,3,5,9,10,6,8,7,4,2]
[5,10,4,9,3,2,8,1,7,6]=>[1,3,5,10,6,8,9,7,4,2]
[5,10,4,9,3,2,1,8,7,6]=>[1,3,5,10,6,9,7,8,4,2]
[5,10,4,3,9,8,2,7,1,6]=>[1,3,7,9,10,4,8,6,5,2]
[5,10,4,3,9,8,2,1,7,6]=>[1,3,7,10,4,8,9,6,5,2]
[5,10,4,3,9,2,8,7,1,6]=>[1,3,9,10,4,6,8,7,5,2]
[5,10,4,3,9,2,8,1,7,6]=>[1,3,10,4,6,8,9,7,5,2]
[5,10,4,3,9,2,1,8,7,6]=>[1,3,10,4,6,9,7,8,5,2]
[5,10,4,3,2,9,8,7,1,6]=>[1,3,9,10,4,8,5,7,6,2]
[5,10,4,3,2,9,8,1,7,6]=>[1,3,10,4,8,9,5,7,6,2]
[5,10,4,3,2,9,1,8,7,6]=>[1,3,10,4,9,5,7,8,6,2]
[5,10,4,3,2,1,9,8,7,6]=>[1,3,10,4,9,5,8,6,7,2]
[5,4,10,9,3,8,2,7,1,6]=>[1,5,7,9,10,2,8,6,4,3]
[5,4,10,9,3,8,2,1,7,6]=>[1,5,7,10,2,8,9,6,4,3]
[5,4,10,9,3,2,8,7,1,6]=>[1,5,9,10,2,6,8,7,4,3]
[5,4,10,9,3,2,8,1,7,6]=>[1,5,10,2,6,8,9,7,4,3]
[5,4,10,9,3,2,1,8,7,6]=>[1,5,10,2,6,9,7,8,4,3]
[5,4,10,3,9,8,2,7,1,6]=>[1,7,9,10,2,4,8,6,5,3]
[5,4,10,3,9,8,2,1,7,6]=>[1,7,10,2,4,8,9,6,5,3]
[5,4,10,3,9,2,8,7,1,6]=>[1,9,10,2,4,6,8,7,5,3]
[5,4,10,3,9,2,8,1,7,6]=>[1,10,2,4,6,8,9,7,5,3]
[5,4,10,3,9,2,1,8,7,6]=>[1,10,2,4,6,9,7,8,5,3]
[5,4,10,3,2,9,8,7,1,6]=>[1,9,10,2,4,8,5,7,6,3]
[5,4,10,3,2,9,8,1,7,6]=>[1,10,2,4,8,9,5,7,6,3]
[5,4,10,3,2,9,1,8,7,6]=>[1,10,2,4,9,5,7,8,6,3]
[5,4,10,3,2,1,9,8,7,6]=>[1,10,2,4,9,5,8,6,7,3]
[5,4,3,10,9,8,2,7,1,6]=>[1,7,9,10,2,8,3,6,5,4]
[5,4,3,10,9,8,2,1,7,6]=>[1,7,10,2,8,9,3,6,5,4]
[5,4,3,10,9,2,8,7,1,6]=>[1,9,10,2,6,8,3,7,5,4]
[5,4,3,10,9,2,8,1,7,6]=>[1,10,2,6,8,9,3,7,5,4]
[5,4,3,10,9,2,1,8,7,6]=>[1,10,2,6,9,3,7,8,5,4]
[5,4,3,10,2,9,8,7,1,6]=>[1,9,10,2,8,3,5,7,6,4]
[5,4,3,10,2,9,8,1,7,6]=>[1,10,2,8,9,3,5,7,6,4]
[5,4,3,10,2,9,1,8,7,6]=>[1,10,2,9,3,5,7,8,6,4]
[5,4,3,10,2,1,9,8,7,6]=>[1,10,2,9,3,5,8,6,7,4]
[5,4,3,2,10,9,8,7,1,6]=>[1,9,10,2,8,3,7,4,6,5]
[5,4,3,2,10,9,8,1,7,6]=>[1,10,2,8,9,3,7,4,6,5]
[5,4,3,2,10,9,1,8,7,6]=>[1,10,2,9,3,7,8,4,6,5]
[5,4,3,2,10,1,9,8,7,6]=>[1,10,2,9,3,8,4,6,7,5]
[3,4,5,6,7,10,1,2,8,9]=>[1,2,3,4,7,5,8,9,10,6]
[3,4,5,6,9,10,1,2,7,8]=>[1,2,3,4,7,8,9,5,10,6]
[3,4,5,8,9,10,1,2,6,7]=>[7,8,1,2,3,4,9,5,10,6]
[3,4,7,8,9,10,1,2,5,6]=>[7,3,8,1,2,4,9,5,10,6]
[3,6,7,8,9,10,1,2,4,5]=>[2,7,3,8,1,4,9,5,10,6]
[2,1,4,3,6,5,10,7,9,8]=>[10,1,3,5,8,9,2,4,6,7]
[2,1,4,3,8,5,7,6,10,9]=>[7,10,1,3,6,2,4,5,8,9]
[2,1,4,3,10,9,7,5,6,8]=>[8,9,7,10,1,3,6,2,4,5]
[2,1,4,3,10,5,6,8,9,7]=>[8,10,1,3,6,7,9,2,4,5]
[2,1,6,3,5,4,8,7,10,9]=>[5,7,1,3,10,2,4,6,8,9]
[2,1,6,3,5,4,10,7,9,8]=>[10,5,1,3,8,9,2,4,6,7]
[2,1,8,7,5,3,4,6,10,9]=>[10,6,5,7,1,4,2,3,8,9]
[2,1,10,7,5,9,4,3,6,8]=>[5,8,7,4,9,10,1,6,2,3]
[2,1,10,8,5,3,6,4,9,7]=>[7,5,10,6,8,1,4,9,2,3]
[2,1,8,3,4,6,7,5,10,9]=>[6,7,10,1,4,5,2,3,8,9]
[2,1,10,9,4,6,7,3,5,8]=>[8,5,6,9,7,10,1,4,2,3]
[2,1,10,3,9,6,4,8,5,7]=>[9,6,10,7,8,1,4,5,2,3]
[2,1,10,3,4,5,7,8,9,6]=>[7,8,10,1,4,5,6,9,2,3]
[4,1,3,2,6,5,8,7,10,9]=>[3,5,1,7,10,2,4,6,8,9]
[4,1,3,2,6,5,10,7,9,8]=>[10,3,1,5,8,9,2,4,6,7]
[4,1,3,2,8,5,7,6,10,9]=>[7,1,10,3,6,2,4,5,8,9]
[4,1,3,2,10,9,7,5,6,8]=>[1,8,9,7,10,3,6,2,4,5]
[4,1,3,2,10,5,6,8,9,7]=>[8,1,10,3,6,7,9,2,4,5]
[6,5,3,1,2,4,10,7,9,8]=>[3,10,8,2,1,9,4,5,6,7]
[8,5,3,7,2,1,4,6,10,9]=>[3,5,2,10,6,7,4,1,8,9]
[10,5,3,7,2,9,4,1,6,8]=>[8,3,2,5,7,4,9,10,6,1]
[10,5,3,8,2,1,6,4,9,7]=>[3,5,2,7,10,6,8,4,9,1]
[8,6,3,1,4,2,7,5,10,9]=>[5,3,7,10,4,2,6,1,8,9]
[10,6,3,9,4,2,7,1,5,8]=>[6,3,5,2,8,9,7,10,4,1]
[10,6,3,1,9,2,4,8,5,7]=>[3,9,10,6,2,7,8,4,5,1]
[10,7,3,1,4,5,2,8,9,6]=>[5,3,6,8,10,4,2,7,9,1]
[6,1,2,4,5,3,8,7,10,9]=>[4,5,7,10,2,1,3,6,8,9]
[6,1,2,4,5,3,10,7,9,8]=>[10,4,5,8,1,9,2,3,6,7]
[8,7,2,4,5,1,3,6,10,9]=>[4,10,3,6,5,7,2,1,8,9]
[10,7,2,4,5,9,3,1,6,8]=>[4,5,8,3,7,2,9,10,6,1]
[10,8,2,4,5,1,6,3,9,7]=>[4,7,3,5,10,6,8,2,9,1]
[8,1,7,4,2,6,3,5,10,9]=>[4,10,7,5,6,2,3,1,8,9]
[10,9,7,4,2,6,3,1,5,8]=>[8,5,4,7,9,6,3,10,2,1]
[10,1,8,4,9,6,2,3,5,7]=>[4,7,8,9,6,3,10,2,5,1]
[10,1,8,4,2,5,7,3,9,6]=>[4,10,6,8,5,7,2,3,9,1]
[8,1,2,3,5,6,7,4,10,9]=>[5,6,7,10,2,3,4,1,8,9]
[10,9,2,3,5,6,7,1,4,8]=>[5,8,3,4,6,9,7,10,2,1]
[10,1,9,3,5,6,2,8,4,7]=>[5,9,4,6,10,7,8,2,3,1]
[10,1,2,9,5,3,7,8,4,6]=>[5,9,7,10,6,8,2,3,4,1]
[10,9,7,6,5,4,3,8,2,1]=>[7,6,5,4,3,10,9,8,2,1]
[3,2,4,1,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]
[3,4,2,5,1,6,7,8,9,10]=>[1,3,2,5,4,6,7,8,9,10]
[4,3,5,2,6,1,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10]
[4,5,3,6,2,7,1,8,9,10]=>[1,3,2,5,4,7,6,8,9,10]
[5,4,6,3,7,2,8,1,9,10]=>[2,1,4,3,6,5,8,7,9,10]
[2,1,4,3,6,5,10,7,8,9]=>[1,3,5,8,9,10,2,4,6,7]
[2,1,4,3,8,5,6,7,10,9]=>[10,1,3,6,7,2,4,5,8,9]
[2,1,4,3,10,9,6,5,8,7]=>[7,10,8,9,1,3,6,2,4,5]
[2,1,4,3,10,5,6,7,8,9]=>[1,3,6,7,8,9,10,2,4,5]
[2,1,6,3,4,5,8,7,10,9]=>[7,10,1,4,2,3,5,6,8,9]
[2,1,6,3,4,5,10,7,8,9]=>[8,9,1,3,10,2,4,5,6,7]
[2,1,10,7,4,9,6,3,8,5]=>[10,8,5,4,7,9,1,6,2,3]
[2,1,10,9,4,3,6,7,8,5]=>[5,7,8,10,6,9,1,4,2,3]
[2,1,8,3,4,5,6,7,10,9]=>[10,1,4,5,6,7,2,3,8,9]
[2,1,10,9,4,5,6,3,8,7]=>[5,6,7,10,8,9,1,4,2,3]
[2,1,10,3,8,5,4,7,6,9]=>[6,9,7,8,1,4,5,10,2,3]
[4,1,2,3,6,5,10,7,8,9]=>[5,8,1,9,10,2,3,4,6,7]
[4,1,2,3,8,5,6,7,10,9]=>[10,6,1,7,2,3,4,5,8,9]
[4,1,2,3,10,9,6,5,8,7]=>[1,7,10,8,9,6,2,3,4,5]
[6,5,2,1,4,3,8,7,10,9]=>[3,5,7,2,1,10,4,6,8,9]
[6,5,2,1,4,3,10,7,8,9]=>[3,5,8,2,1,9,10,4,6,7]
[8,5,2,7,4,1,6,3,10,9]=>[7,5,2,10,3,6,4,1,8,9]
[10,5,2,7,4,9,6,1,8,3]=>[2,10,5,4,8,3,7,9,6,1]
[10,5,2,9,4,1,6,7,8,3]=>[7,5,2,8,10,3,6,9,4,1]
[8,7,2,1,4,5,6,3,10,9]=>[3,5,6,7,10,4,2,1,8,9]
[10,7,2,9,4,5,6,1,8,3]=>[5,6,10,8,3,2,7,9,4,1]
[10,9,2,1,8,5,4,7,6,3]=>[6,10,7,9,3,8,4,5,2,1]
[10,9,2,1,4,5,6,7,8,3]=>[3,5,6,7,8,10,4,9,2,1]
[6,1,2,3,4,5,8,7,10,9]=>[7,10,2,3,4,1,5,6,8,9]
[8,7,2,3,4,1,6,5,10,9]=>[3,4,5,7,10,6,2,1,8,9]
[10,7,2,3,4,9,6,1,8,5]=>[10,8,3,4,5,2,7,9,6,1]
[10,9,2,3,4,1,6,7,8,5]=>[3,4,5,7,8,10,6,9,2,1]
[8,1,6,3,2,5,4,7,10,9]=>[4,6,10,5,2,3,7,1,8,9]
[10,9,6,3,2,5,4,1,8,7]=>[4,7,5,6,3,10,8,9,2,1]
[10,1,6,3,8,5,2,7,4,9]=>[9,7,4,3,6,8,2,5,10,1]
[10,1,8,3,2,5,6,7,4,9]=>[4,6,7,9,5,8,2,3,10,1]
[10,9,2,3,4,5,6,1,8,7]=>[3,4,5,6,7,10,8,9,2,1]
[10,1,8,3,4,5,2,7,6,9]=>[4,5,6,9,7,8,2,3,10,1]
[10,1,2,7,4,3,6,5,8,9]=>[5,8,6,7,2,3,4,9,10,1]
[1,2,9,7,5,3,10,8,6,4]=>[10,5,4,9,8,6,1,2,3,7]
[2,4,1,5,6,7,8,10,3,9]=>[4,1,2,5,6,7,9,10,3,8]
[1,3,5,7,2,9,4,6,8,10]=>[3,7,8,2,4,9,1,5,6,10]
[1,3,5,7,2,9,4,10,6,8]=>[9,3,4,10,2,7,1,5,6,8]
[1,3,5,7,2,8,4,9,6,10]=>[9,3,7,2,5,1,4,6,8,10]
[1,3,5,6,2,7,4,9,8,10]=>[3,6,2,4,9,1,5,7,8,10]
[1,3,4,5,2,7,6,9,8,10]=>[2,3,4,6,9,1,5,7,8,10]
[10,1,2,3,4,5,7,8,9,6]=>[7,8,10,2,3,4,5,6,9,1]
[8,1,2,3,4,5,10,7,9,6]=>[8,10,9,2,3,4,5,1,6,7]
[8,1,2,3,4,5,9,7,10,6]=>[8,7,10,2,3,4,5,1,6,9]
[9,1,2,3,4,10,6,7,8,5]=>[7,8,10,9,2,3,4,5,1,6]
[8,1,2,3,4,10,6,7,9,5]=>[7,8,10,9,2,3,4,1,5,6]
[8,1,2,3,4,9,6,7,10,5]=>[7,8,6,10,2,3,4,1,5,9]
[7,1,2,3,4,9,6,10,8,5]=>[10,7,6,9,2,3,1,4,5,8]
[7,1,2,3,4,8,6,9,10,5]=>[7,6,8,10,2,3,1,4,5,9]
[8,1,2,3,10,5,6,7,9,4]=>[6,7,8,10,9,2,3,1,4,5]
[8,1,2,3,9,5,6,7,10,4]=>[6,7,8,5,10,2,3,1,4,9]
[7,1,2,3,10,5,6,8,9,4]=>[6,7,8,10,9,2,1,3,4,5]
[7,1,2,3,8,5,6,9,10,4]=>[6,7,5,8,10,2,1,3,4,9]
[6,1,2,3,8,5,10,7,9,4]=>[8,5,10,6,1,9,2,3,4,7]
[6,1,2,3,8,5,9,7,10,4]=>[8,6,5,7,1,10,2,3,4,9]
[6,1,2,3,7,5,8,9,10,4]=>[6,5,7,8,1,10,2,3,4,9]
[6,1,2,9,4,5,10,7,8,3]=>[8,10,5,1,6,4,9,2,3,7]
[6,1,2,8,4,5,10,7,9,3]=>[8,10,5,4,1,6,9,2,3,7]
[6,1,2,8,4,5,9,7,10,3]=>[8,5,6,4,1,7,10,2,3,9]
[6,1,2,7,4,5,8,9,10,3]=>[5,6,4,7,1,8,10,2,3,9]
[5,1,2,7,4,9,6,10,8,3]=>[4,1,10,7,5,6,9,2,3,8]
[5,1,2,7,4,8,6,9,10,3]=>[7,5,4,1,6,8,10,2,3,9]
[5,1,2,6,4,7,8,9,10,3]=>[5,4,6,1,7,8,10,2,3,9]
[4,1,6,3,8,5,9,7,10,2]=>[1,3,8,6,4,5,7,10,2,9]
[4,1,6,3,7,5,8,9,10,2]=>[1,6,4,3,5,7,8,10,2,9]
[4,1,5,3,6,7,8,9,10,2]=>[4,3,1,5,6,7,8,10,2,9]
[1,10,9,8,7,6,5,3,2,4]=>[9,8,10,7,6,5,4,3,1,2]
[1,10,9,8,7,6,4,3,2,5]=>[9,8,7,10,6,5,4,3,1,2]
[1,10,9,8,7,5,4,3,2,6]=>[9,8,7,6,10,5,4,3,1,2]
[1,10,9,8,6,5,4,3,2,7]=>[9,8,7,6,5,10,4,3,1,2]
[1,10,9,7,6,5,4,3,2,8]=>[9,8,7,6,5,4,10,3,1,2]
[1,10,8,7,6,5,4,3,2,9]=>[9,8,7,6,5,4,3,10,1,2]
[9,10,2,3,4,5,6,7,1,8]=>[3,4,5,6,7,9,8,1,10,2]
[8,9,10,2,3,4,5,6,1,7]=>[4,5,6,7,1,9,8,2,10,3]
[7,8,9,10,2,3,4,5,1,6]=>[5,6,1,7,2,9,8,3,10,4]
[5,6,7,8,9,10,2,3,1,4]=>[1,2,3,7,4,9,8,5,10,6]
[4,5,6,7,8,9,10,2,1,3]=>[1,2,3,4,5,9,8,6,10,7]
[8,10,3,4,5,6,7,2,1,9]=>[3,4,5,6,1,9,8,7,10,2]
[3,10,2,1,5,6,7,8,9,4]=>[1,3,5,6,7,8,10,4,9,2]
[3,9,1,4,5,6,7,8,2,10]=>[1,4,5,6,7,9,3,8,2,10]
[2,10,9,8,7,6,1,5,4,3]=>[10,9,7,8,6,5,4,1,3,2]
[2,10,9,8,1,7,6,5,4,3]=>[10,9,8,7,5,6,4,1,3,2]
[2,10,9,1,8,7,6,5,4,3]=>[10,9,8,7,6,4,5,1,3,2]
[2,1,4,3,10,5,7,6,9,8]=>[7,10,1,3,6,8,9,2,4,5]
[2,1,4,3,9,6,10,5,8,7]=>[10,6,8,1,3,5,9,2,4,7]
[2,1,8,3,5,4,7,6,10,9]=>[5,7,10,1,4,6,2,3,8,9]
[2,1,10,3,5,4,7,6,9,8]=>[5,7,10,1,4,6,8,9,2,3]
[2,1,9,6,10,3,5,4,8,7]=>[7,4,10,6,8,1,3,9,2,5]
[2,1,7,4,8,3,6,5,10,9]=>[7,10,4,1,3,6,2,5,8,9]
[2,1,7,4,10,3,6,5,9,8]=>[7,10,4,1,3,6,8,9,2,5]
[2,1,10,3,6,5,9,4,8,7]=>[5,10,6,8,9,1,4,7,2,3]
[2,1,9,4,8,5,10,3,7,6]=>[10,6,8,4,5,1,3,9,2,7]
[4,1,3,2,10,5,7,6,9,8]=>[7,1,10,3,6,8,9,2,4,5]
[4,1,3,2,9,6,10,5,8,7]=>[1,10,6,8,3,5,9,2,4,7]
[6,1,3,2,5,4,8,7,10,9]=>[3,5,7,10,2,1,4,6,8,9]
[6,1,3,2,5,4,10,7,9,8]=>[10,3,5,8,1,9,2,4,6,7]
[8,1,3,2,5,4,7,6,10,9]=>[3,5,7,10,2,4,6,1,8,9]
[9,6,10,1,3,2,5,4,8,7]=>[5,7,10,4,2,6,8,1,9,3]
[7,4,8,1,3,2,6,5,10,9]=>[5,2,7,10,4,1,6,3,8,9]
[7,4,10,1,3,2,6,5,9,8]=>[5,2,7,10,4,1,6,8,9,3]
[10,1,3,2,6,5,9,4,8,7]=>[5,10,3,6,8,9,2,4,7,1]
[9,4,8,5,10,1,3,2,7,6]=>[7,2,4,10,6,8,3,1,9,5]
[5,2,6,1,4,3,8,7,10,9]=>[5,7,2,1,3,10,4,6,8,9]
[5,2,6,1,4,3,10,7,9,8]=>[10,5,2,1,3,8,9,4,6,7]
[5,2,8,1,4,3,7,6,10,9]=>[5,7,1,10,2,4,6,3,8,9]
[5,2,10,1,4,3,7,6,9,8]=>[5,7,1,10,2,4,6,8,9,3]
[5,2,9,6,10,1,4,3,8,7]=>[1,7,4,10,6,8,2,3,9,5]
[8,1,4,3,7,2,6,5,10,9]=>[3,7,10,4,6,2,5,1,8,9]
[10,1,4,3,7,2,6,5,9,8]=>[3,7,10,4,6,2,5,8,9,1]
[9,2,6,5,10,1,4,3,8,7]=>[7,4,3,10,2,6,8,1,9,5]
[10,1,4,3,8,5,9,2,7,6]=>[10,3,6,8,4,5,9,2,7,1]
[7,2,6,3,8,1,5,4,10,9]=>[7,10,4,2,3,1,6,5,8,9]
[7,2,6,3,10,1,5,4,9,8]=>[7,10,4,2,3,1,6,8,9,5]
[10,1,5,4,9,2,6,3,8,7]=>[4,3,7,10,6,8,9,2,5,1]
[8,3,10,1,5,4,9,2,7,6]=>[5,10,2,6,8,1,9,4,7,3]
[8,3,9,2,7,4,10,1,6,5]=>[10,6,8,2,4,1,5,3,9,7]
[1,2,3,4,5,6,8,9,7,10]=>[7,9,1,2,3,4,5,6,8,10]
[10,1,2,3,4,5,9,7,6,8]=>[9,8,10,2,3,4,5,6,7,1]
[10,1,2,3,4,9,6,7,5,8]=>[7,9,8,10,2,3,4,5,6,1]
[9,1,2,3,10,5,6,7,4,8]=>[6,7,9,8,10,2,3,4,1,5]
[10,1,2,9,4,5,6,7,3,8]=>[5,6,7,9,8,10,2,3,4,1]
[10,1,9,3,4,5,6,7,2,8]=>[4,5,6,7,9,8,10,2,3,1]
[8,1,2,3,4,5,10,6,9,7]=>[10,8,9,2,3,4,5,1,6,7]
[7,1,2,3,4,9,5,6,10,8]=>[10,7,8,2,3,4,1,5,6,9]
[6,1,2,3,9,4,5,7,10,8]=>[10,6,7,8,2,1,3,4,5,9]
[5,1,2,10,3,4,6,7,9,8]=>[10,5,6,1,7,8,9,2,3,4]
[4,1,9,2,3,5,6,7,10,8]=>[10,4,1,5,6,7,8,2,3,9]
[3,9,1,2,4,5,6,7,10,8]=>[1,10,3,4,5,6,7,8,2,9]
[10,2,1,3,4,5,6,7,9,8]=>[2,10,3,4,5,6,7,8,9,1]
[1,2,3,4,5,7,8,6,9,10]=>[6,8,1,2,3,4,5,7,9,10]
[1,2,3,4,5,7,8,9,6,10]=>[6,7,9,1,2,3,4,5,8,10]
[2,4,5,6,1,7,8,9,10,3]=>[2,3,6,1,4,7,8,10,5,9]
[2,3,5,6,1,7,8,9,10,4]=>[3,6,1,2,4,7,8,10,5,9]
[9,8,10,1,4,5,6,7,2,3]=>[5,6,9,7,10,4,2,1,8,3]
[7,1,10,9,2,3,4,5,6,8]=>[5,6,7,8,1,9,10,4,2,3]
[6,7,9,1,2,3,4,5,10,8]=>[10,4,5,1,6,2,7,8,3,9]
[2,8,1,9,10,3,4,5,6,7]=>[6,7,8,9,4,1,2,10,3,5]
[8,7,1,10,2,3,4,5,6,9]=>[5,6,7,8,9,2,1,10,3,4]
[1,5,2,8,6,3,10,9,7,4]=>[10,2,5,4,9,8,1,3,6,7]
[4,1,5,2,8,6,3,10,9,7]=>[1,10,3,6,5,9,2,4,7,8]
[1,7,5,2,8,6,3,10,9,4]=>[3,6,5,2,10,9,1,4,7,8]
[4,1,7,5,2,8,3,10,9,6]=>[1,4,6,3,10,9,2,5,7,8]
[6,4,1,7,5,2,8,3,10,9]=>[2,7,5,4,1,10,3,6,8,9]
[3,4,1,7,2,8,5,10,9,6]=>[6,1,2,4,10,9,3,5,7,8]
[3,6,4,1,7,2,8,5,10,9]=>[3,7,1,5,2,10,4,6,8,9]
[1,5,2,9,8,6,3,10,7,4]=>[6,10,2,9,7,5,1,3,4,8]
[4,1,5,2,9,8,6,3,10,7]=>[1,7,10,3,8,6,2,4,5,9]
[1,7,5,2,9,6,3,10,8,4]=>[3,6,2,10,9,7,1,4,5,8]
[4,1,7,5,2,9,3,10,8,6]=>[10,1,4,3,9,7,2,5,6,8]
[4,1,9,6,5,2,7,3,10,8]=>[7,1,5,4,10,6,8,2,3,9]
[3,4,1,7,2,9,5,10,8,6]=>[4,10,1,2,9,7,3,5,6,8]
[3,6,1,9,4,2,7,5,10,8]=>[5,7,1,2,10,6,8,3,4,9]
[1,8,7,5,2,9,6,3,10,4]=>[4,10,8,7,5,3,1,2,6,9]
[4,1,8,7,5,2,9,3,10,6]=>[5,10,1,8,6,4,2,3,7,9]
[6,4,1,8,5,2,9,3,10,7]=>[2,5,1,10,8,6,3,4,7,9]
[7,6,4,1,8,5,2,9,3,10]=>[3,9,7,6,4,2,1,5,8,10]
[3,4,1,8,7,2,9,5,10,6]=>[10,8,1,2,6,5,3,4,7,9]
[3,6,4,1,8,2,9,5,10,7]=>[10,3,1,2,8,6,4,5,7,9]
[3,7,6,4,1,8,2,9,5,10]=>[4,9,7,1,5,3,2,6,8,10]
[1,9,6,5,2,7,3,10,8,4]=>[6,4,3,10,9,5,7,1,2,8]
[6,1,9,4,2,7,3,10,8,5]=>[4,6,1,10,9,5,7,2,3,8]
[5,4,1,9,6,2,7,3,10,8]=>[2,1,7,5,10,6,8,3,4,9]
[9,3,1,6,2,7,4,10,8,5]=>[6,2,4,10,9,3,5,7,1,8]
[9,5,3,1,6,2,7,4,10,8]=>[3,7,5,2,10,4,6,8,1,9]
[6,1,8,5,2,9,7,3,10,4]=>[4,1,10,8,7,5,2,3,6,9]
[6,4,1,8,2,9,7,3,10,5]=>[10,2,1,8,7,5,3,4,6,9]
[8,5,4,1,6,2,9,3,10,7]=>[5,3,2,10,8,4,6,1,7,9]
[5,7,4,1,8,6,2,9,3,10]=>[1,3,9,7,6,4,2,5,8,10]
[3,6,1,8,2,9,7,4,10,5]=>[2,10,8,1,7,5,3,4,6,9]
[5,8,3,1,6,2,9,4,10,7]=>[3,1,5,10,8,4,6,2,7,9]
[5,3,7,1,8,6,2,9,4,10]=>[1,9,7,2,6,4,3,5,8,10]
[4,3,8,1,9,5,2,6,10,7]=>[1,6,10,2,7,8,4,3,5,9]
[7,4,3,5,1,8,2,9,6,10]=>[3,2,4,9,7,5,1,6,8,10]
[9,6,2,1,3,7,4,10,8,5]=>[6,10,3,9,4,2,5,7,1,8]
[5,9,2,1,6,3,7,4,10,8]=>[7,3,1,5,10,4,6,8,2,9]
[6,8,2,1,3,9,7,4,10,5]=>[10,8,3,1,7,4,5,2,6,9]
[8,2,5,1,6,3,9,4,10,7]=>[5,3,10,2,8,4,6,1,7,9]
[2,5,7,1,8,6,3,9,4,10]=>[9,2,7,6,1,4,3,5,8,10]
[2,4,8,1,9,5,3,6,10,7]=>[6,10,2,7,8,1,4,3,5,9]
[5,6,4,3,2,1,7,8,9,10]=>[1,6,5,4,3,2,7,8,9,10]
[6,7,5,4,3,2,1,8,9,10]=>[1,7,6,5,4,3,2,8,9,10]
[7,8,10,9,6,5,4,3,2,1]=>[10,1,2,9,8,7,6,5,4,3]
[8,7,9,10,6,5,4,3,2,1]=>[2,1,3,10,9,8,7,6,5,4]
[7,8,9,10,1,5,6,3,4,2]=>[1,8,6,2,10,9,5,3,7,4]
[10,9,8,5,7,6,4,3,2,1]=>[10,4,9,8,7,6,5,3,2,1]
[10,9,8,4,7,6,5,3,2,1]=>[10,9,4,8,7,6,5,3,2,1]
[10,9,4,8,7,6,5,3,2,1]=>[10,9,8,3,7,6,5,4,2,1]
[10,3,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,2,5,4,3,1]
[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,2,4,3,1]
[9,10,2,1,6,4,3,5,7,8]=>[7,3,6,8,4,5,9,1,10,2]
[7,10,2,1,8,4,3,5,6,9]=>[7,3,6,8,1,9,4,5,10,2]
[2,9,1,10,7,4,3,5,6,8]=>[7,6,8,9,5,10,1,3,2,4]
[2,8,1,9,4,3,10,5,6,7]=>[5,8,9,10,6,1,3,2,4,7]
[10,8,5,2,1,6,3,4,7,9]=>[4,7,8,5,3,6,9,2,10,1]
[9,5,2,1,10,6,3,4,7,8]=>[7,8,3,2,6,9,10,4,1,5]
[10,7,2,1,8,5,3,4,6,9]=>[7,8,3,6,9,4,2,5,10,1]
[9,2,1,10,7,5,3,4,6,8]=>[7,8,6,9,2,5,10,3,1,4]
[2,8,1,9,3,10,5,4,6,7]=>[8,7,9,10,5,1,3,2,4,6]
[10,6,2,1,7,3,8,4,5,9]=>[8,9,3,6,4,2,5,7,10,1]
[9,2,1,10,6,3,7,4,5,8]=>[8,9,6,2,5,7,10,3,1,4]
[8,2,1,9,3,10,6,4,5,7]=>[8,9,7,10,2,5,3,1,4,6]
[7,2,1,8,3,9,4,10,5,6]=>[9,10,7,2,5,3,1,4,6,8]
[10,8,6,3,1,4,2,5,7,9]=>[7,5,4,6,8,3,9,2,10,1]
[3,9,1,10,6,4,2,5,7,8]=>[7,6,8,1,5,9,10,3,2,4]
[10,7,3,1,8,4,2,5,6,9]=>[3,7,6,8,9,4,2,5,10,1]
[9,3,1,10,7,4,2,5,6,8]=>[7,2,6,8,9,5,10,3,1,4]
[8,3,1,9,4,2,10,5,6,7]=>[2,5,8,9,10,6,3,1,4,7]
[10,8,5,1,6,3,2,4,7,9]=>[7,6,8,4,3,5,9,2,10,1]
[9,5,1,10,6,3,2,4,7,8]=>[7,6,2,8,5,9,10,3,1,4]
[10,7,1,8,5,3,2,4,6,9]=>[7,6,8,5,9,3,2,4,10,1]
[9,1,10,7,5,3,2,4,6,8]=>[7,6,8,5,9,4,10,2,1,3]
[8,3,1,9,2,10,5,4,6,7]=>[8,2,7,9,10,5,3,1,4,6]
[10,6,1,7,3,2,8,4,5,9]=>[5,8,9,6,3,2,4,7,10,1]
[9,1,10,6,3,2,7,4,5,8]=>[5,8,9,6,4,7,10,2,1,3]
[8,1,9,3,2,10,6,4,5,7]=>[8,9,4,7,10,5,2,1,3,6]
[7,1,8,3,2,9,4,10,5,6]=>[9,10,4,7,5,2,1,3,6,8]
[10,8,4,1,5,2,6,3,7,9]=>[8,6,4,3,5,7,9,2,10,1]
[9,4,1,10,5,2,6,3,7,8]=>[2,8,6,5,7,9,10,3,1,4]
[10,7,1,8,4,2,5,3,6,9]=>[8,6,5,7,9,3,2,4,10,1]
[9,1,10,7,4,2,5,3,6,8]=>[8,6,5,7,9,4,10,2,1,3]
[8,1,9,4,2,10,5,3,6,7]=>[4,8,7,9,10,5,2,1,3,6]
[10,6,1,7,2,8,4,3,5,9]=>[8,7,9,5,3,2,4,6,10,1]
[9,1,10,6,2,7,4,3,5,8]=>[8,7,9,5,4,6,10,2,1,3]
[8,1,9,2,10,6,4,3,5,7]=>[8,7,9,6,10,4,2,1,3,5]
[7,1,8,2,9,4,3,10,5,6]=>[6,9,10,7,4,2,1,3,5,8]
[10,5,1,6,2,7,3,8,4,9]=>[9,7,5,3,2,4,6,8,10,1]
[9,1,10,5,2,6,3,7,4,8]=>[9,7,5,4,6,8,10,2,1,3]
[8,1,9,2,10,5,3,6,4,7]=>[9,7,6,8,10,4,2,1,3,5]
[7,1,8,2,9,3,10,5,4,6]=>[9,8,10,6,4,2,1,3,5,7]
[4,2,1,3,6,5,8,7,10,9]=>[2,5,1,7,10,3,4,6,8,9]
[10,2,3,1,4,5,6,7,8,9]=>[2,4,3,5,6,7,8,9,10,1]
[10,9,8,6,5,7,4,3,2,1]=>[5,4,10,9,8,7,6,3,2,1]
[10,9,8,4,5,7,6,3,2,1]=>[10,4,5,9,8,7,6,3,2,1]
[10,9,8,5,4,6,7,3,2,1]=>[5,4,6,10,9,8,7,3,2,1]
[1,3,4,2,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]
[1,2,4,5,6,3,7,8,9,10]=>[3,4,6,1,2,5,7,8,9,10]
[1,2,3,5,6,7,8,4,9,10]=>[4,5,6,8,1,2,3,7,9,10]
[2,1,5,3,6,7,4,8,9,10]=>[5,1,3,7,2,4,6,8,9,10]
[1,3,5,6,4,2,7,8,9,10]=>[3,6,2,5,1,4,7,8,9,10]
[3,5,2,1,6,4,7,8,9,10]=>[1,3,6,4,2,5,7,8,9,10]
[2,1,3,6,4,7,8,9,5,10]=>[6,1,4,7,9,2,3,5,8,10]
[1,3,4,6,7,2,8,5,9,10]=>[4,8,2,3,6,1,5,7,9,10]
[3,2,6,1,4,7,8,5,9,10]=>[1,6,8,2,4,3,5,7,9,10]
[2,4,6,1,7,5,3,8,9,10]=>[7,2,6,1,4,3,5,8,9,10]
[4,6,3,2,1,7,5,8,9,10]=>[1,4,3,7,5,2,6,8,9,10]
[1,3,4,2,7,8,5,9,10,6]=>[5,8,2,3,6,10,1,4,7,9]
[3,2,1,7,4,5,8,9,10,6]=>[1,7,8,2,4,10,3,5,6,9]
[1,2,4,5,7,8,9,6,3,10]=>[5,6,9,3,4,8,1,2,7,10]
[4,3,7,2,1,5,8,9,6,10]=>[2,1,4,7,9,5,3,6,8,10]
[1,3,5,7,8,6,4,2,9,10]=>[4,8,3,7,2,6,1,5,9,10]
[3,5,7,2,1,8,6,4,9,10]=>[2,8,1,4,7,5,3,6,9,10]
[5,7,4,3,2,1,8,6,9,10]=>[1,5,4,3,8,6,2,7,9,10]
[2,1,5,3,8,6,9,10,7,4]=>[7,3,5,10,1,6,9,2,4,8]
[1,3,5,6,8,9,4,2,10,7]=>[7,3,4,5,10,2,8,1,6,9]
[3,5,2,8,1,6,9,4,10,7]=>[2,10,1,6,8,3,5,4,7,9]
[5,4,8,3,2,1,6,9,10,7]=>[2,1,5,4,8,10,6,3,7,9]
[2,4,6,8,1,9,7,5,3,10]=>[9,3,8,2,7,1,5,4,6,10]
[4,6,8,3,2,1,9,7,5,10]=>[4,1,2,9,5,8,6,3,7,10]
[6,8,5,4,3,2,1,9,7,10]=>[1,6,5,4,3,9,7,2,8,10]
[3,5,7,9,2,1,10,8,6,4]=>[3,10,2,9,1,5,8,6,4,7]
[5,7,9,4,3,2,1,10,8,6]=>[5,1,4,2,10,6,9,7,3,8]
[7,9,6,5,4,3,2,1,10,8]=>[1,7,6,5,4,3,10,8,2,9]
[2,3,7,5,6,1,10,9,4,8]=>[4,5,3,9,10,1,2,8,6,7]
[2,3,4,10,6,9,8,5,1,7]=>[9,5,8,10,7,1,2,3,6,4]
[2,3,6,5,9,10,8,4,1,7]=>[9,3,8,4,5,10,1,2,7,6]
[2,3,9,5,8,7,4,1,10,6]=>[7,10,4,8,6,1,2,5,3,9]
[2,5,4,9,6,10,8,3,1,7]=>[9,2,5,8,3,4,10,1,7,6]
[2,5,4,8,9,7,3,1,10,6]=>[7,2,4,10,3,8,1,6,5,9]
[2,3,4,10,6,7,1,9,8,5]=>[5,6,10,9,1,2,3,7,8,4]
[2,3,7,5,6,1,10,9,8,4]=>[10,4,3,5,9,1,2,8,6,7]
[2,3,4,10,6,8,9,1,7,5]=>[10,5,8,6,9,1,2,3,7,4]
[2,3,6,5,8,10,9,1,7,4]=>[3,5,10,4,8,9,1,2,7,6]
[2,3,8,5,7,9,1,10,6,4]=>[5,10,4,3,9,1,2,7,6,8]
[2,5,4,8,6,10,9,1,7,3]=>[10,2,5,3,4,8,9,1,7,6]
[2,5,4,7,8,9,1,10,6,3]=>[2,4,5,10,3,9,1,7,6,8]
[2,3,4,10,6,9,8,7,5,1]=>[10,9,5,8,7,1,2,3,6,4]
[2,3,6,5,9,10,8,7,4,1]=>[5,10,3,9,4,8,1,2,7,6]
[2,3,7,5,9,8,10,6,4,1]=>[3,6,5,10,4,9,1,2,8,7]
[2,3,9,5,8,7,6,4,1,10]=>[9,8,4,7,6,1,2,5,3,10]
[2,5,4,9,6,10,8,7,3,1]=>[10,9,2,5,3,4,8,1,7,6]
[2,5,4,9,7,8,10,6,3,1]=>[5,6,2,4,10,3,9,1,8,7]
[2,5,4,8,9,7,6,3,1,10]=>[4,9,2,8,3,7,1,6,5,10]
[2,3,4,10,7,9,8,1,6,5]=>[5,10,8,9,7,1,2,3,6,4]
[2,3,5,7,10,9,8,1,6,4]=>[10,4,8,9,3,7,1,2,6,5]
[2,3,8,6,9,7,1,10,5,4]=>[10,4,3,9,7,1,2,6,5,8]
[2,4,7,5,10,9,8,1,6,3]=>[3,10,8,9,2,4,7,1,6,5]
[2,4,6,8,9,7,1,10,5,3]=>[4,10,3,9,2,7,1,6,5,8]
[2,3,4,10,7,8,9,6,5,1]=>[5,6,10,9,8,1,2,3,7,4]
[2,3,5,7,10,8,9,6,4,1]=>[6,10,4,9,3,8,1,2,7,5]
[2,3,7,6,8,9,10,5,4,1]=>[4,3,5,6,10,9,1,2,8,7]
[2,3,9,6,7,8,5,4,1,10]=>[4,5,9,8,7,1,2,6,3,10]
[2,4,7,5,10,8,9,6,3,1]=>[3,6,10,9,2,4,8,1,7,5]
[2,4,6,7,8,9,10,5,3,1]=>[3,4,5,6,10,2,9,1,8,7]
[2,4,6,9,7,8,5,3,1,10]=>[5,9,3,8,2,7,1,6,4,10]
[2,6,5,8,9,7,10,4,3,1]=>[2,4,6,3,5,10,9,1,8,7]
[2,6,5,7,8,9,4,3,1,10]=>[3,2,4,5,9,8,1,7,6,10]
[3,7,4,5,10,9,8,1,6,2]=>[10,8,2,9,1,3,4,7,6,5]
[3,6,4,8,9,7,1,10,5,2]=>[2,4,10,9,1,3,7,6,5,8]
[3,7,4,5,10,8,9,6,2,1]=>[6,2,10,9,1,3,4,8,7,5]
[3,6,4,7,8,9,10,5,2,1]=>[4,2,5,6,10,1,3,9,8,7]
[3,6,4,9,7,8,5,2,1,10]=>[2,5,9,8,1,3,7,6,4,10]
[3,5,6,8,9,7,10,4,2,1]=>[4,6,2,3,5,10,1,9,8,7]
[3,5,6,7,8,9,4,2,1,10]=>[2,3,4,5,9,1,8,7,6,10]
[4,3,2,7,6,5,1,9,8,10]=>[1,6,2,5,3,4,9,7,8,10]
[4,3,2,1,7,6,9,8,5,10]=>[2,1,5,9,3,6,8,4,7,10]
[4,3,2,7,6,1,9,8,5,10]=>[1,5,2,4,9,3,8,6,7,10]
[4,3,2,7,6,9,8,5,1,10]=>[1,4,9,2,5,8,3,7,6,10]
[4,3,7,6,2,1,9,8,5,10]=>[9,1,5,2,4,3,8,6,7,10]
[4,3,7,6,2,9,8,5,1,10]=>[4,1,3,9,2,8,5,7,6,10]
[4,3,2,1,7,6,5,9,10,8]=>[2,1,6,3,5,8,10,4,7,9]
[4,3,2,7,6,5,1,9,10,8]=>[1,6,2,5,3,4,8,10,7,9]
[4,3,2,1,7,6,9,5,10,8]=>[2,1,5,10,3,6,8,4,7,9]
[4,3,2,7,6,1,9,5,10,8]=>[1,5,2,4,10,3,8,6,7,9]
[4,3,2,7,6,9,5,1,10,8]=>[1,5,2,4,7,10,3,8,6,9]
[4,3,7,6,2,1,9,5,10,8]=>[10,1,5,2,4,3,8,6,7,9]
[4,3,7,6,2,9,5,1,10,8]=>[7,1,4,2,3,10,5,8,6,9]
[4,3,2,1,7,6,9,10,8,5]=>[2,1,5,7,10,3,6,9,4,8]
[4,3,2,7,6,1,9,10,8,5]=>[1,5,2,4,7,10,3,9,6,8]
[4,3,2,7,6,9,1,10,8,5]=>[1,4,10,2,5,9,3,7,6,8]
[4,3,2,7,6,9,10,8,5,1]=>[1,4,6,10,2,5,9,3,8,7]
[4,3,7,6,2,1,9,10,8,5]=>[7,1,4,2,3,10,5,9,6,8]
[4,3,7,6,2,9,1,10,8,5]=>[4,1,3,10,2,9,5,7,6,8]
[4,3,7,6,2,9,10,8,5,1]=>[4,1,3,6,10,2,9,5,8,7]
[4,3,2,1,7,9,6,5,10,8]=>[2,1,5,7,10,3,8,4,6,9]
[4,3,2,7,1,9,6,5,10,8]=>[1,7,2,4,10,3,8,5,6,9]
[4,3,2,7,9,6,5,1,10,8]=>[1,4,7,2,6,10,3,8,5,9]
[4,3,7,2,1,9,6,5,10,8]=>[1,7,10,2,4,3,8,5,6,9]
[4,3,7,2,9,6,5,1,10,8]=>[7,1,6,2,3,10,4,8,5,9]
[4,3,2,1,7,9,6,10,8,5]=>[1,10,2,5,7,3,6,9,4,8]
[4,3,2,7,1,9,6,10,8,5]=>[1,4,10,2,7,3,6,9,5,8]
[4,3,2,7,9,6,1,10,8,5]=>[1,4,6,10,2,9,3,7,5,8]
[4,3,2,7,9,6,10,8,5,1]=>[10,1,4,6,2,5,9,3,8,7]
[4,3,7,2,1,9,6,10,8,5]=>[10,1,7,2,4,3,6,9,5,8]
[4,3,7,2,9,6,1,10,8,5]=>[6,1,3,10,2,9,4,7,5,8]
[4,3,7,2,9,6,10,8,5,1]=>[3,10,1,6,2,5,9,4,8,7]
[4,3,7,9,6,2,1,10,8,5]=>[3,10,1,6,2,5,9,7,4,8]
[4,3,7,9,6,2,10,8,5,1]=>[3,5,10,1,9,2,6,4,8,7]
[4,7,3,2,1,9,6,5,10,8]=>[1,3,7,10,4,2,8,5,6,9]
[4,7,3,2,9,6,5,1,10,8]=>[7,1,3,6,2,10,4,8,5,9]
[4,7,3,2,1,9,6,10,8,5]=>[10,1,3,7,4,2,6,9,5,8]
[4,7,3,2,9,6,1,10,8,5]=>[6,10,1,3,2,9,4,7,5,8]
[4,7,3,2,9,6,10,8,5,1]=>[10,6,1,3,2,5,9,4,8,7]
[4,7,3,9,6,2,1,10,8,5]=>[10,6,1,3,2,5,9,7,4,8]
[5,6,4,7,3,9,1,8,2,10]=>[1,3,2,5,4,9,7,8,6,10]
[1,6,7,5,8,4,10,2,9,3]=>[2,4,3,6,5,10,8,9,1,7]
[4,5,6,7,8,9,1,10,2,3]=>[1,2,3,4,9,5,10,7,6,8]
[3,2,5,4,7,6,8,10,9,1]=>[1,3,5,10,2,4,6,7,9,8]
[3,2,5,4,6,9,7,8,10,1]=>[1,3,7,8,2,4,5,6,10,9]
[3,2,5,4,6,8,7,10,9,1]=>[1,3,6,10,2,4,5,7,9,8]
[3,2,5,4,6,7,10,8,9,1]=>[1,3,8,10,2,4,5,6,9,7]
[3,2,4,7,5,6,9,8,10,1]=>[8,1,5,2,3,4,6,7,10,9]
[3,2,4,7,5,6,8,10,9,1]=>[10,1,5,2,3,4,6,7,9,8]
[3,2,4,6,5,9,7,8,10,1]=>[1,4,7,8,2,3,5,6,10,9]
[3,2,4,6,5,8,7,10,9,1]=>[1,4,6,10,2,3,5,7,9,8]
[3,2,4,6,5,7,10,8,9,1]=>[1,4,8,10,2,3,5,6,9,7]
[3,2,4,5,9,6,7,8,10,1]=>[1,6,7,8,2,3,4,5,10,9]
[3,2,4,5,8,6,7,10,9,1]=>[10,1,6,2,3,4,5,7,9,8]
[3,2,4,5,7,6,10,8,9,1]=>[1,5,8,10,2,3,4,6,9,7]
[3,2,4,5,6,10,7,8,9,1]=>[1,7,8,10,2,3,4,5,9,6]
[2,5,3,4,7,6,9,8,10,1]=>[5,2,8,1,3,4,6,7,10,9]
[2,5,3,4,7,6,8,10,9,1]=>[5,2,10,1,3,4,6,7,9,8]
[2,5,3,4,6,9,7,8,10,1]=>[7,2,8,1,3,4,5,6,10,9]
[2,5,3,4,6,8,7,10,9,1]=>[6,2,10,1,3,4,5,7,9,8]
[2,5,3,4,6,7,10,8,9,1]=>[8,2,10,1,3,4,5,6,9,7]
[2,4,3,7,5,6,9,8,10,1]=>[8,2,5,1,3,4,6,7,10,9]
[2,4,3,7,5,6,8,10,9,1]=>[10,2,5,1,3,4,6,7,9,8]
[2,4,3,6,5,9,7,8,10,1]=>[2,4,7,8,1,3,5,6,10,9]
[2,4,3,6,5,7,10,8,9,1]=>[2,4,8,10,1,3,5,6,9,7]
[2,4,3,5,9,6,7,8,10,1]=>[2,6,7,8,1,3,4,5,10,9]
[2,4,3,5,8,6,7,10,9,1]=>[10,2,6,1,3,4,5,7,9,8]
[2,4,3,5,7,6,10,8,9,1]=>[2,5,8,10,1,3,4,6,9,7]
[2,4,3,5,6,10,7,8,9,1]=>[2,7,8,10,1,3,4,5,9,6]
[2,3,7,4,5,6,9,8,10,1]=>[8,4,5,1,2,3,6,7,10,9]
[2,3,7,4,5,6,8,10,9,1]=>[10,4,5,1,2,3,6,7,9,8]
[2,3,6,4,5,9,7,8,10,1]=>[7,3,8,1,2,4,5,6,10,9]
[2,3,6,4,5,8,7,10,9,1]=>[6,3,10,1,2,4,5,7,9,8]
[2,3,6,4,5,7,10,8,9,1]=>[8,3,10,1,2,4,5,6,9,7]
[2,3,5,4,9,6,7,8,10,1]=>[3,6,7,8,1,2,4,5,10,9]
[2,3,5,4,8,6,7,10,9,1]=>[10,3,6,1,2,4,5,7,9,8]
[2,3,5,4,7,6,10,8,9,1]=>[3,5,8,10,1,2,4,6,9,7]
[2,3,5,4,6,10,7,8,9,1]=>[3,7,8,10,1,2,4,5,9,6]
[2,3,4,9,5,6,7,8,10,1]=>[5,6,7,8,1,2,3,4,10,9]
[2,3,4,8,5,6,7,10,9,1]=>[10,5,6,1,2,3,4,7,9,8]
[2,3,4,7,5,6,10,8,9,1]=>[8,4,10,1,2,3,5,6,9,7]
[2,3,4,6,5,10,7,8,9,1]=>[4,7,8,10,1,2,3,5,9,6]
[3,4,5,6,2,7,8,9,10,1]=>[1,2,3,5,4,6,7,8,10,9]
[2,4,5,6,3,7,8,9,10,1]=>[2,3,5,1,4,6,7,8,10,9]
[2,3,5,6,4,7,8,9,10,1]=>[3,5,1,2,4,6,7,8,10,9]
[9,3,10,1,2,4,5,6,7,8]=>[4,2,5,6,7,8,9,1,10,3]
[10,3,1,9,2,4,5,6,7,8]=>[5,2,6,7,8,9,10,3,4,1]
[3,1,4,10,2,5,6,7,8,9]=>[3,1,5,6,7,8,9,10,2,4]
[9,8,10,7,6,5,4,3,1,2]=>[9,2,1,10,8,7,6,5,4,3]
[10,7,1,2,3,4,8,9,5,6]=>[9,7,10,3,4,5,2,6,8,1]
[6,2,3,4,5,7,8,9,10,1]=>[2,3,4,5,1,6,7,8,10,9]
[2,6,3,4,5,7,8,9,10,1]=>[3,4,5,1,2,6,7,8,10,9]
[2,3,6,4,5,7,8,9,10,1]=>[4,5,1,2,3,6,7,8,10,9]
[10,2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,8,7,9,10,1]
[10,2,3,4,5,6,1,7,8,9]=>[2,3,4,5,7,6,8,9,10,1]
[10,2,3,4,5,1,6,7,8,9]=>[2,3,4,6,5,7,8,9,10,1]
[10,2,3,4,1,5,6,7,8,9]=>[2,3,5,4,6,7,8,9,10,1]
[2,8,1,3,4,5,6,10,7,9]=>[9,10,1,3,4,5,6,2,7,8]
[10,7,1,2,3,4,5,9,6,8]=>[9,10,3,4,5,6,2,7,8,1]
[4,5,6,8,2,9,3,10,7,1]=>[10,1,2,3,7,5,4,6,9,8]
[10,4,5,6,9,3,8,2,7,1]=>[2,3,4,6,8,10,9,7,5,1]
[4,5,10,6,9,3,8,2,7,1]=>[4,6,8,10,1,2,9,7,5,3]
[4,5,8,2,6,10,9,3,7,1]=>[8,10,1,2,5,3,9,4,7,6]
[10,6,9,5,4,3,8,2,7,1]=>[2,6,5,4,8,10,9,7,3,1]
[8,2,6,10,9,5,4,3,7,1]=>[8,3,7,6,1,10,9,2,5,4]
[8,2,10,4,5,6,7,1,9,3]=>[4,5,6,10,8,2,1,7,9,3]
[4,5,6,8,2,10,7,1,9,3]=>[10,1,2,3,8,5,4,7,9,6]
[10,4,5,6,8,2,7,1,9,3]=>[2,3,4,10,6,8,7,5,9,1]
[4,5,10,6,8,2,7,1,9,3]=>[4,10,1,2,6,8,7,5,9,3]
[4,5,10,8,2,6,7,1,9,3]=>[6,10,1,2,5,8,7,4,9,3]
[10,6,8,2,7,1,9,5,4,3]=>[2,10,9,8,4,6,5,3,7,1]
[10,8,2,6,7,1,9,5,4,3]=>[4,10,9,8,3,6,5,2,7,1]
[8,2,7,1,9,3,10,4,5,6]=>[8,9,10,6,2,4,3,1,5,7]
[4,5,8,2,7,1,9,3,10,6]=>[10,1,2,8,4,6,5,3,7,9]
[4,5,9,3,10,7,1,8,2,6]=>[9,10,1,2,4,7,6,3,8,5]
[4,5,7,1,9,3,8,2,6,10]=>[1,2,6,8,3,9,7,4,5,10]
[8,2,7,1,9,5,4,3,10,6]=>[7,6,10,8,2,4,3,1,5,9]
[9,5,4,3,10,7,1,8,2,6]=>[3,2,9,10,4,7,6,1,8,5]
[7,1,9,5,4,3,8,2,6,10]=>[6,5,4,8,1,9,7,2,3,10]
[8,2,6,10,4,5,7,1,9,3]=>[5,3,6,10,8,2,1,7,9,4]
[4,8,2,6,10,5,7,1,9,3]=>[4,6,10,1,8,3,2,7,9,5]
[4,10,8,2,5,6,7,1,9,3]=>[5,6,10,1,4,8,7,3,9,2]
[8,2,6,10,5,7,1,9,4,3]=>[3,5,10,9,7,2,1,6,8,4]
[10,8,2,5,6,7,1,9,4,3]=>[4,5,10,9,3,7,6,2,8,1]
[9,3,10,4,5,7,1,8,2,6]=>[4,5,9,10,2,7,6,1,8,3]
[4,9,3,10,5,7,1,8,2,6]=>[5,9,10,1,3,7,6,2,8,4]
[4,9,3,10,7,1,8,2,5,6]=>[8,9,10,1,3,6,5,2,7,4]
[4,7,1,9,3,8,2,5,6,10]=>[1,5,7,8,2,9,6,3,4,10]
[9,4,3,10,5,7,1,8,2,6]=>[2,5,9,10,3,7,6,1,8,4]
[9,4,3,10,7,1,8,2,5,6]=>[2,8,9,10,3,6,5,1,7,4]
[7,1,9,4,3,8,2,5,6,10]=>[5,4,7,8,1,9,6,2,3,10]
[5,10,7,1,8,2,4,3,9,6]=>[1,7,10,6,8,4,3,5,9,2]
[5,7,1,8,2,4,3,9,6,10]=>[6,1,9,5,7,3,2,4,8,10]
[10,5,7,1,9,4,2,6,8,3]=>[2,8,6,10,7,3,9,4,5,1]
[9,4,2,5,6,7,1,10,8,3]=>[4,2,5,6,10,3,9,7,1,8]
[10,5,7,1,8,3,9,4,2,6]=>[2,9,6,8,5,3,10,4,7,1]
[10,7,1,8,3,9,4,2,5,6]=>[8,5,7,9,4,2,10,3,6,1]
[7,1,8,3,9,4,2,5,6,10]=>[7,4,6,8,3,1,9,2,5,10]
[4,2,5,10,7,1,8,3,9,6]=>[10,1,8,3,6,2,5,7,9,4]
[4,2,5,7,1,8,3,9,6,10]=>[1,9,3,7,2,5,4,6,8,10]
[4,5,6,7,8,9,1,2,10,3]=>[1,2,3,4,10,7,5,8,6,9]
[2,1,10,9,8,7,6,5,3,4]=>[9,10,8,7,6,5,1,4,2,3]
[10,9,7,3,6,1,2,4,8,5]=>[4,10,6,7,8,5,3,9,2,1]
[9,7,3,6,1,2,4,10,8,5]=>[10,3,9,5,6,4,2,7,1,8]
[7,3,10,9,6,1,2,4,8,5]=>[10,6,7,1,8,2,5,9,4,3]
[7,3,9,6,1,2,4,10,8,5]=>[10,9,2,5,1,6,4,7,3,8]
[9,6,1,2,4,10,7,3,8,5]=>[10,8,5,7,2,9,3,4,1,6]
[8,4,10,9,7,3,6,1,2,5]=>[8,6,9,1,10,2,7,5,4,3]
[10,8,4,9,7,3,6,1,2,5]=>[8,3,6,9,2,10,7,5,4,1]
[7,3,8,4,10,9,6,1,2,5]=>[8,9,3,1,10,2,4,7,6,5]
[7,3,10,8,4,9,6,1,2,5]=>[5,8,1,9,4,10,2,7,6,3]
[10,7,3,8,4,9,6,1,2,5]=>[5,8,9,3,2,4,10,7,6,1]
[6,1,2,7,3,8,4,10,9,5]=>[6,4,10,9,2,1,3,5,7,8]
[6,1,2,7,3,10,8,4,9,5]=>[4,10,8,7,1,9,2,3,5,6]
[6,1,2,10,7,3,8,4,9,5]=>[10,8,6,5,1,7,9,2,3,4]
[10,6,1,2,7,3,8,4,9,5]=>[10,8,6,3,4,2,5,7,9,1]
[6,1,3,10,9,7,2,4,8,5]=>[10,7,1,8,6,9,3,5,2,4]
[6,1,3,9,7,2,4,10,8,5]=>[10,9,6,3,1,5,7,2,4,8]
[10,9,6,1,3,7,2,4,8,5]=>[10,5,7,8,4,3,6,9,2,1]
[9,6,1,3,7,2,4,10,8,5]=>[10,9,4,6,3,2,5,7,1,8]
[10,7,2,4,9,6,1,3,8,5]=>[10,4,7,8,3,2,6,9,5,1]
[6,1,3,8,4,10,9,7,2,5]=>[9,4,1,10,8,3,5,7,2,6]
[6,1,3,10,8,4,9,7,2,5]=>[9,1,10,6,5,8,3,7,2,4]
[8,4,10,9,6,1,3,7,2,5]=>[7,9,10,2,1,6,5,8,4,3]
[10,8,4,9,6,1,3,7,2,5]=>[3,7,9,10,6,5,2,8,4,1]
[9,6,1,3,8,4,10,7,2,5]=>[9,10,6,4,2,5,8,3,1,7]
[7,2,6,1,3,8,4,10,9,5]=>[6,10,9,2,4,3,1,5,7,8]
[7,2,6,1,3,10,8,4,9,5]=>[10,8,7,2,3,1,9,4,5,6]
[10,7,2,6,1,3,8,4,9,5]=>[10,8,3,5,6,4,2,7,9,1]
[7,2,10,6,1,3,8,4,9,5]=>[10,8,5,6,2,1,4,7,9,3]
[8,3,6,1,4,10,9,7,2,5]=>[9,3,10,2,8,5,1,7,4,6]
[10,8,3,6,1,4,9,7,2,5]=>[9,10,3,6,4,8,5,2,7,1]
[10,9,6,1,4,8,3,7,2,5]=>[5,7,9,3,10,8,4,6,2,1]
[9,6,1,4,10,8,3,7,2,5]=>[7,9,2,10,4,8,6,3,1,5]
[8,3,9,6,1,4,10,7,2,5]=>[9,10,6,2,4,1,8,5,3,7]
[8,3,7,2,6,1,4,10,9,5]=>[10,9,2,4,6,5,3,1,7,8]
[10,8,3,7,2,6,1,4,9,5]=>[10,3,5,7,8,6,4,2,9,1]
[8,3,10,7,2,6,1,4,9,5]=>[10,5,7,8,2,1,6,4,9,3]
[7,2,8,3,10,6,1,4,9,5]=>[10,7,8,4,2,1,3,6,9,5]
[9,4,10,8,3,7,2,6,1,5]=>[5,7,9,10,2,1,8,6,4,3]
[8,3,9,4,10,7,2,6,1,5]=>[7,9,10,4,2,1,3,8,6,5]
[7,2,8,3,9,4,10,6,1,5]=>[9,10,6,4,2,1,3,5,8,7]
[10,3,4,1,2,5,6,7,8,9]=>[4,2,5,3,6,7,8,9,10,1]
[1,2,3,4,8,5,9,6,10,7]=>[10,8,6,1,2,3,4,5,7,9]
[1,2,3,4,5,8,6,10,9,7]=>[6,10,9,1,2,3,4,5,7,8]
[1,2,3,7,4,8,5,10,9,6]=>[6,4,10,9,1,2,3,5,7,8]
[1,2,3,4,9,7,5,10,8,6]=>[6,10,9,7,1,2,3,4,5,8]
[1,2,3,4,7,5,10,9,8,6]=>[10,5,9,8,1,2,3,4,6,7]
[1,6,2,7,3,8,4,10,9,5]=>[6,4,2,10,9,1,3,5,7,8]
[1,2,6,3,9,7,4,10,8,5]=>[3,6,10,9,7,1,2,4,5,8]
[1,2,6,3,7,4,10,9,8,5]=>[3,10,5,9,8,1,2,4,6,7]
[1,2,3,8,6,4,10,9,7,5]=>[10,5,4,9,8,1,2,3,6,7]
[1,2,3,6,4,10,9,8,7,5]=>[10,9,4,8,7,1,2,3,5,6]
[5,1,6,2,9,7,3,10,8,4]=>[3,1,6,10,9,7,2,4,5,8]
[5,1,6,2,7,3,10,9,8,4]=>[3,1,10,5,9,8,2,4,6,7]
[1,5,2,6,3,10,9,8,7,4]=>[10,2,9,4,8,7,1,3,5,6]
[1,2,7,5,3,10,9,8,6,4]=>[3,10,9,4,8,7,1,2,5,6]
[1,2,5,3,10,9,8,7,6,4]=>[10,9,8,3,7,6,1,2,4,5]
[7,4,1,8,5,2,10,9,6,3]=>[10,2,5,4,1,9,8,3,6,7]
[4,1,9,7,5,2,10,8,6,3]=>[10,5,1,4,9,8,6,2,3,7]
[4,1,7,5,2,10,9,8,6,3]=>[3,10,1,9,4,8,7,2,5,6]
[4,1,5,2,10,9,8,7,6,3]=>[10,9,1,8,3,7,6,2,4,5]
[1,8,6,4,2,10,9,7,5,3]=>[3,10,9,4,2,8,7,1,5,6]
[1,6,4,2,10,9,8,7,5,3]=>[10,2,9,8,3,7,6,1,4,5]
[1,4,2,10,9,8,7,6,5,3]=>[10,9,8,7,2,6,5,1,3,4]
[7,5,3,1,10,9,8,6,4,2]=>[10,2,1,9,8,3,7,6,4,5]
[5,3,1,10,9,8,7,6,4,2]=>[10,9,1,8,7,2,6,5,3,4]
[1,3,2,6,4,8,5,10,7,9]=>[4,9,2,6,10,1,3,5,7,8]
[1,3,2,5,4,8,6,10,7,9]=>[9,2,4,6,10,1,3,5,7,8]
[1,3,2,5,4,7,6,10,8,9]=>[2,4,6,9,10,1,3,5,7,8]
[1,4,2,5,6,7,8,10,9,3]=>[2,10,4,5,6,7,9,1,3,8]
[2,1,4,5,6,7,10,8,3,9]=>[9,1,3,4,5,6,8,10,2,7]
[3,1,5,2,6,10,7,8,9,4]=>[1,3,7,8,10,5,9,2,4,6]
[4,5,1,6,7,9,8,10,2,3]=>[1,2,9,4,5,7,6,10,3,8]
[7,2,8,3,9,4,10,5,1,6]=>[9,6,8,4,2,1,3,5,10,7]
[7,2,8,3,9,4,10,1,5,6]=>[6,8,9,4,2,1,3,5,10,7]
[7,2,8,3,9,10,4,5,1,6]=>[7,9,8,4,2,1,3,5,10,6]
[7,2,8,3,9,10,4,1,5,6]=>[8,7,9,4,2,1,3,5,10,6]
[7,2,8,3,9,10,1,4,5,6]=>[7,8,9,4,2,1,3,5,10,6]
[7,2,8,9,3,4,10,5,1,6]=>[9,5,6,3,1,8,2,4,10,7]
[7,2,8,9,3,4,10,1,5,6]=>[5,6,8,3,1,9,2,4,10,7]
[7,2,8,9,3,10,4,5,1,6]=>[7,9,5,3,1,8,2,4,10,6]
[7,2,8,9,3,10,4,1,5,6]=>[8,5,7,3,1,9,2,4,10,6]
[7,2,8,9,3,10,1,4,5,6]=>[5,7,8,3,1,9,2,4,10,6]
[7,2,8,9,10,3,4,5,1,6]=>[6,7,3,1,9,8,2,4,10,5]
[7,2,8,9,10,3,4,1,5,6]=>[6,8,7,3,1,9,2,4,10,5]
[7,2,8,9,10,3,1,4,5,6]=>[7,6,8,3,1,9,2,4,10,5]
[7,8,2,3,9,4,10,5,1,6]=>[9,6,8,3,1,4,2,5,10,7]
[7,8,2,3,9,4,10,1,5,6]=>[6,8,9,3,1,4,2,5,10,7]
[7,8,2,3,9,10,4,5,1,6]=>[7,9,8,3,1,4,2,5,10,6]
[7,8,2,3,9,10,4,1,5,6]=>[8,7,9,3,1,4,2,5,10,6]
[7,8,2,3,9,10,1,4,5,6]=>[7,8,9,3,1,4,2,5,10,6]
[7,8,2,9,3,4,10,5,1,6]=>[9,5,6,1,8,3,2,4,10,7]
[7,8,2,9,3,4,10,1,5,6]=>[5,6,8,1,9,3,2,4,10,7]
[7,8,2,9,3,10,4,5,1,6]=>[7,9,5,1,8,3,2,4,10,6]
[7,8,2,9,3,10,4,1,5,6]=>[8,5,7,1,9,3,2,4,10,6]
[7,8,2,9,3,10,1,4,5,6]=>[5,7,8,1,9,3,2,4,10,6]
[7,8,2,9,10,3,4,5,1,6]=>[6,7,1,9,8,3,2,4,10,5]
[7,8,2,9,10,3,4,1,5,6]=>[6,8,7,1,9,3,2,4,10,5]
[7,8,2,9,10,3,1,4,5,6]=>[7,6,8,1,9,3,2,4,10,5]
[7,8,2,9,10,1,3,4,5,6]=>[6,7,8,1,9,3,2,4,10,5]
[7,8,9,2,3,4,10,5,1,6]=>[9,4,5,1,6,2,8,3,10,7]
[7,8,9,2,3,4,10,1,5,6]=>[4,5,6,1,8,2,9,3,10,7]
[7,8,9,2,3,10,4,5,1,6]=>[7,9,4,1,5,2,8,3,10,6]
[7,8,9,2,3,10,4,1,5,6]=>[8,4,5,1,7,2,9,3,10,6]
[7,8,9,2,3,10,1,4,5,6]=>[4,5,7,1,8,2,9,3,10,6]
[7,8,9,2,10,3,4,5,1,6]=>[6,7,1,9,4,2,8,3,10,5]
[7,8,9,2,10,3,4,1,5,6]=>[6,8,4,1,7,2,9,3,10,5]
[7,8,9,2,10,3,1,4,5,6]=>[7,4,6,1,8,2,9,3,10,5]
[7,8,9,2,10,1,3,4,5,6]=>[4,6,7,1,8,2,9,3,10,5]
[7,8,9,10,2,3,4,1,5,6]=>[5,6,1,8,7,2,9,3,10,4]
[7,8,9,10,2,3,1,4,5,6]=>[5,7,6,1,8,2,9,3,10,4]
[7,8,9,10,2,1,3,4,5,6]=>[6,5,7,1,8,2,9,3,10,4]
[5,9,8,7,6,4,3,2,1,10]=>[9,8,7,1,6,5,4,3,2,10]
[10,9,8,6,1,7,5,4,3,2]=>[10,9,8,7,5,4,6,3,2,1]
[1,2,9,3,4,5,6,7,10,8]=>[10,4,5,6,7,8,1,2,3,9]
[1,2,3,4,5,9,6,7,10,8]=>[10,7,8,1,2,3,4,5,6,9]
[1,10,6,2,3,4,9,5,7,8]=>[8,9,10,4,3,5,6,7,1,2]
[1,5,2,9,3,10,4,6,7,8]=>[7,2,8,9,10,5,1,3,4,6]
[1,2,4,3,10,9,5,6,7,8]=>[7,8,9,10,3,6,1,2,4,5]
[1,3,2,4,5,10,9,6,7,8]=>[8,9,10,2,7,1,3,4,5,6]
[2,1,3,4,5,9,6,10,7,8]=>[9,10,1,7,2,3,4,5,6,8]
[9,8,7,6,5,4,1,10,3,2]=>[10,9,7,6,5,4,3,2,1,8]
[9,8,7,6,5,2,10,1,3,4]=>[6,8,9,5,4,3,2,1,10,7]
[9,8,7,6,3,10,2,1,4,5]=>[5,8,7,9,4,3,2,1,10,6]
[9,8,7,4,10,3,2,1,6,5]=>[4,7,6,10,8,3,2,1,9,5]
[9,8,5,10,4,3,2,1,6,7]=>[3,8,7,6,5,9,2,1,10,4]
[9,6,10,5,4,3,2,1,7,8]=>[2,8,7,6,5,4,9,1,10,3]
[7,10,6,5,4,3,2,1,9,8]=>[1,7,6,5,4,3,10,8,9,2]
[10,7,8,1,2,3,4,5,6,9]=>[4,5,6,7,8,2,9,3,10,1]
[6,7,10,1,2,3,4,5,8,9]=>[4,5,6,1,7,2,8,9,10,3]
[1,10,2,3,4,7,5,6,8,9]=>[7,8,3,4,5,6,9,10,1,2]
[10,9,8,6,7,5,4,3,2,1]=>[4,10,9,8,7,6,5,3,2,1]
[10,9,7,6,8,5,4,3,2,1]=>[4,3,10,9,8,7,6,5,2,1]
[10,8,7,6,9,5,4,3,2,1]=>[4,3,2,10,9,8,7,6,5,1]
[9,8,7,6,4,3,2,5,1,10]=>[7,6,5,9,8,4,3,2,1,10]
[9,8,7,6,4,3,5,2,1,10]=>[6,5,9,8,7,4,3,2,1,10]
[1,10,9,8,6,5,7,4,3,2]=>[6,5,10,9,8,7,4,3,1,2]
[3,1,4,5,6,7,9,2,10,8]=>[1,10,3,4,5,6,8,2,7,9]
[10,8,9,6,7,4,5,2,1,3]=>[9,8,6,4,2,10,7,5,3,1]
[2,4,3,1,5,6,7,8,9,10]=>[4,1,3,2,5,6,7,8,9,10]
[2,3,6,4,5,1,7,8,9,10]=>[4,6,1,2,5,3,7,8,9,10]
[3,4,5,2,1,6,7,8,9,10]=>[1,2,5,4,3,6,7,8,9,10]
[2,3,4,8,5,6,7,1,9,10]=>[5,6,8,1,2,3,7,4,9,10]
[3,5,4,7,2,6,1,8,9,10]=>[3,1,2,5,7,6,4,8,9,10]
[2,6,4,1,5,3,7,8,9,10]=>[6,4,1,3,5,2,7,8,9,10]
[4,5,2,6,3,1,7,8,9,10]=>[1,6,3,2,5,4,7,8,9,10]
[3,6,4,5,9,2,7,8,1,10]=>[3,4,1,2,6,7,9,8,5,10]
[2,5,4,7,8,6,3,1,9,10]=>[2,4,8,3,7,1,6,5,9,10]
[4,6,2,5,8,3,7,1,9,10]=>[1,4,6,2,8,3,7,5,9,10]
[3,5,7,6,1,4,2,8,9,10]=>[2,7,1,5,6,4,3,8,9,10]
[5,6,2,3,7,4,1,8,9,10]=>[7,3,1,4,2,6,5,8,9,10]
[2,5,4,8,6,10,7,3,9,1]=>[8,2,5,3,4,7,10,1,9,6]
[4,7,2,5,6,10,3,8,9,1]=>[1,4,5,7,2,8,10,3,9,6]
[2,3,9,5,6,1,7,8,4,10]=>[4,7,5,9,1,2,6,8,3,10]
[5,7,2,3,6,9,4,8,1,10]=>[5,1,7,9,3,2,4,8,6,10]
[2,8,4,1,6,3,7,5,9,10]=>[3,8,6,1,4,5,7,2,9,10]
[4,6,7,8,3,1,5,2,9,10]=>[2,8,1,6,5,3,7,4,9,10]
[6,7,2,3,4,8,5,1,9,10]=>[8,3,4,1,5,2,7,6,9,10]
[3,6,4,10,8,7,1,5,9,2]=>[2,8,10,7,1,3,6,5,9,4]
[2,7,4,9,6,3,10,8,5,1]=>[5,2,10,9,3,6,1,4,8,7]
[4,6,8,7,3,9,10,5,2,1]=>[6,2,4,1,3,10,5,9,8,7]
[6,8,2,3,4,7,10,5,9,1]=>[6,8,1,10,3,4,2,5,9,7]
[3,5,9,7,1,8,2,6,4,10]=>[9,2,7,8,1,5,4,6,3,10]
[5,7,8,3,9,4,1,6,2,10]=>[9,1,4,2,7,6,3,8,5,10]
[7,8,2,3,4,5,9,6,1,10]=>[9,3,4,5,1,6,2,8,7,10]
[4,6,8,10,9,1,5,2,7,3]=>[10,2,8,1,6,3,7,9,5,4]
[6,8,9,3,4,10,5,1,7,2]=>[1,10,4,5,2,8,7,3,9,6]
[8,9,2,3,4,5,6,10,7,1]=>[10,3,4,5,6,1,7,2,9,8]
[10,8,9,6,4,7,2,5,1,3]=>[7,5,9,4,2,10,8,6,3,1]
[10,8,9,6,7,4,2,5,1,3]=>[7,9,6,4,2,10,8,5,3,1]
[10,1,2,9,6,3,4,5,7,8]=>[6,7,8,5,9,10,2,3,4,1]
[4,1,2,10,3,5,9,6,7,8]=>[8,1,9,10,5,6,7,2,3,4]
[1,10,9,8,5,6,7,4,3,2]=>[5,6,10,9,8,7,4,3,1,2]
[1,10,9,5,6,7,8,4,3,2]=>[4,5,6,10,9,8,7,3,1,2]
[1,10,4,5,6,7,8,9,3,2]=>[3,4,5,6,7,10,9,8,1,2]
[5,3,1,2,6,7,8,9,10,4]=>[5,2,6,1,7,8,10,3,4,9]
[7,3,4,5,1,2,8,9,10,6]=>[2,3,7,4,8,1,10,5,6,9]
[8,3,4,5,6,1,2,9,10,7]=>[2,3,4,8,5,10,6,1,7,9]
[2,6,7,8,9,10,1,3,4,5]=>[2,7,3,8,4,9,1,5,10,6]
[10,8,9,7,6,5,4,3,2,1]=>[2,10,9,8,7,6,5,4,3,1]
[10,8,6,4,9,7,5,3,2,1]=>[3,10,9,4,2,8,7,6,5,1]
[10,8,6,4,2,1,9,7,5,3]=>[4,10,9,5,3,8,6,2,7,1]
[10,8,9,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,2,10,3,1]
[9,7,10,8,5,4,3,2,1,6]=>[2,9,8,7,6,5,1,10,4,3]
[9,7,4,3,2,1,5,10,8,6]=>[4,3,10,5,9,6,2,7,1,8]
[9,7,5,10,8,6,3,2,1,4]=>[9,3,2,8,7,1,10,6,5,4]
[10,8,6,4,9,7,5,2,1,3]=>[9,4,3,8,2,10,7,6,5,1]
[10,8,6,4,1,2,9,7,5,3]=>[4,10,9,8,5,3,6,2,7,1]
[2,5,1,6,3,7,4,8,9,10]=>[7,5,1,3,2,4,6,8,9,10]
[3,4,5,1,6,2,7,8,9,10]=>[1,2,6,4,3,5,7,8,9,10]
[2,6,1,7,3,8,4,9,5,10]=>[9,7,5,1,3,2,4,6,8,10]
[3,4,6,1,7,2,8,5,9,10]=>[8,1,2,6,4,3,5,7,9,10]
[3,2,6,1,7,4,8,5,9,10]=>[8,1,6,2,4,3,5,7,9,10]
[4,2,5,6,1,7,3,8,9,10]=>[3,1,7,2,5,4,6,8,9,10]
[3,4,2,6,1,7,5,8,9,10]=>[1,2,7,3,5,4,6,8,9,10]
[3,2,7,1,8,4,9,5,10,6]=>[10,8,1,6,2,4,3,5,7,9]
[4,5,6,7,1,8,2,9,3,10]=>[1,2,3,9,7,5,4,6,8,10]
[3,4,2,7,1,8,5,9,6,10]=>[9,1,2,7,3,5,4,6,8,10]
[5,3,6,4,7,1,8,2,9,10]=>[4,2,1,3,8,6,5,7,9,10]
[3,5,2,6,7,1,8,4,9,10]=>[4,1,2,8,3,6,5,7,9,10]
[4,3,5,2,7,1,8,6,9,10]=>[2,1,3,8,4,6,5,7,9,10]
[5,2,6,7,8,1,9,3,10,4]=>[3,1,4,10,8,2,6,5,7,9]
[5,3,6,4,8,1,9,2,10,7]=>[3,1,10,2,4,8,6,5,7,9]
[3,5,2,6,8,1,9,4,10,7]=>[2,10,1,4,8,3,6,5,7,9]
[4,3,5,2,8,1,9,6,10,7]=>[1,10,2,3,8,4,6,5,7,9]
[4,6,2,7,5,8,1,9,3,10]=>[5,1,4,2,9,3,7,6,8,10]
[4,3,6,2,7,8,1,9,5,10]=>[1,5,2,3,9,4,7,6,8,10]
[4,5,3,6,2,8,1,9,7,10]=>[1,3,2,4,9,5,7,6,8,10]
[5,3,7,2,8,6,9,1,10,4]=>[1,6,5,2,3,10,4,8,7,9]
[4,5,3,7,2,8,9,1,10,6]=>[1,2,6,3,4,10,5,8,7,9]
[5,4,6,3,7,2,9,1,10,8]=>[2,1,4,3,5,10,6,8,7,9]
[8,7,10,6,5,4,3,2,1,9]=>[2,1,9,8,7,6,5,4,10,3]
[8,7,6,10,5,4,3,2,1,9]=>[3,2,1,9,8,7,6,5,10,4]
[8,7,6,5,4,10,3,2,1,9]=>[5,4,3,2,1,9,8,7,10,6]
[8,7,6,5,4,3,10,2,1,9]=>[6,5,4,3,2,1,9,8,10,7]
[5,1,6,7,8,9,10,2,3,4]=>[3,1,4,8,5,9,6,10,2,7]
[5,6,7,8,9,10,1,3,4,2]=>[1,2,3,8,4,10,7,5,9,6]
[5,6,7,8,9,10,1,4,3,2]=>[1,2,3,4,10,9,7,5,8,6]
[7,8,9,10,1,4,5,6,2,3]=>[6,1,9,7,2,10,5,3,8,4]
[7,8,9,10,1,4,5,6,3,2]=>[6,1,7,2,10,9,5,3,8,4]
[7,8,9,10,1,5,6,4,3,2]=>[1,6,2,10,9,8,5,3,7,4]
[7,8,9,10,1,6,5,4,3,2]=>[1,2,10,9,8,7,5,3,6,4]
[8,9,10,1,4,5,6,7,2,3]=>[5,6,9,7,1,10,4,2,8,3]
[8,9,10,1,4,5,6,7,3,2]=>[5,6,7,1,10,9,4,2,8,3]
[8,9,10,1,5,6,7,2,3,4]=>[8,5,9,6,1,10,4,2,7,3]
[8,9,10,1,5,6,7,4,3,2]=>[5,6,1,10,9,8,4,2,7,3]
[8,9,10,1,6,7,4,5,2,3]=>[9,7,5,1,10,8,4,2,6,3]
[8,9,10,1,6,7,4,5,3,2]=>[7,5,1,10,9,8,4,2,6,3]
[8,9,10,1,6,7,5,4,3,2]=>[5,1,10,9,8,7,4,2,6,3]
[8,9,10,1,7,6,5,4,3,2]=>[1,10,9,8,7,6,4,2,5,3]
[9,10,1,6,7,8,3,4,5,2]=>[7,4,8,5,10,9,3,1,6,2]
[9,10,1,6,7,8,4,5,2,3]=>[4,9,7,5,10,8,3,1,6,2]
[9,10,1,6,7,8,4,5,3,2]=>[4,7,5,10,9,8,3,1,6,2]
[9,10,1,6,7,8,5,4,3,2]=>[4,5,10,9,8,7,3,1,6,2]
[9,10,1,7,8,5,6,3,4,2]=>[8,6,4,10,9,7,3,1,5,2]
[9,10,1,7,8,5,6,4,3,2]=>[6,4,10,9,8,7,3,1,5,2]
[9,10,1,7,8,6,5,4,3,2]=>[4,10,9,8,7,6,3,1,5,2]
[10,1,8,9,6,7,4,5,3,2]=>[7,5,3,10,9,8,6,2,4,1]
[10,1,8,9,6,7,5,4,3,2]=>[5,3,10,9,8,7,6,2,4,1]
[10,1,8,9,7,6,5,4,3,2]=>[3,10,9,8,7,6,5,2,4,1]
[6,10,9,8,7,5,4,3,1,2]=>[9,10,8,1,7,6,5,4,3,2]
[8,9,7,6,5,4,3,2,10,1]=>[1,8,7,6,5,4,3,2,10,9]
[2,3,4,5,6,7,1,9,10,8]=>[1,2,3,4,5,6,8,10,7,9]
[2,3,4,5,1,7,8,9,10,6]=>[1,2,3,4,6,7,8,10,5,9]
[2,3,1,5,6,7,8,9,10,4]=>[1,2,4,5,6,7,8,10,3,9]
[4,2,5,3,7,6,9,8,1,10]=>[3,1,5,9,2,4,6,8,7,10]
[4,2,6,3,7,5,9,8,1,10]=>[1,5,3,9,2,4,6,8,7,10]
[4,2,6,3,8,5,9,7,1,10]=>[1,3,9,6,2,4,5,8,7,10]
[4,2,6,3,8,5,10,7,1,9]=>[1,3,9,6,2,4,5,8,10,7]
[4,2,6,3,8,5,10,7,9,1]=>[1,3,8,5,10,2,4,6,9,7]
[4,2,6,3,8,5,7,10,9,1]=>[1,3,10,6,2,4,5,7,9,8]
[4,2,6,3,5,8,7,10,9,1]=>[1,6,3,10,2,4,5,7,9,8]
[4,2,3,6,5,8,7,10,9,1]=>[4,1,6,10,2,3,5,7,9,8]
[3,4,5,6,7,10,2,1,9,8]=>[1,2,3,4,5,7,10,8,9,6]
[3,4,5,6,9,2,10,1,8,7]=>[10,1,2,3,4,6,8,5,9,7]
[3,4,5,8,2,9,10,1,6,7]=>[8,9,1,2,3,5,4,6,10,7]
[3,4,7,2,8,9,10,1,6,5]=>[5,3,10,1,2,8,4,6,9,7]
[3,6,2,7,8,9,10,1,5,4]=>[4,2,5,10,1,8,3,6,9,7]
[5,2,6,7,8,9,10,1,3,4]=>[3,1,4,8,5,9,2,6,10,7]
[9,10,8,7,6,5,4,1,3,2]=>[10,8,1,9,7,6,5,4,3,2]
[10,8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,10,9,1]
[2,9,4,5,6,7,8,1,10,3]=>[3,4,5,6,10,8,1,7,2,9]
[4,3,10,5,6,7,8,9,2,1]=>[1,4,5,6,7,10,2,9,8,3]
[3,2,9,5,6,7,8,1,10,4]=>[4,5,6,10,1,8,2,7,3,9]
[8,9,4,5,6,7,1,3,10,2]=>[3,4,8,5,1,10,7,6,2,9]
[3,4,1,10,6,7,8,9,2,5]=>[5,6,9,1,2,7,10,8,3,4]
[4,9,10,5,6,7,8,2,1,3]=>[4,5,9,8,1,6,2,10,7,3]
[9,1,2,3,6,4,5,7,8,10]=>[6,7,2,3,4,5,8,9,1,10]
[5,6,7,8,9,10,3,2,1,4]=>[1,2,3,4,9,8,7,5,10,6]
[7,8,9,10,3,4,5,1,2,6]=>[5,1,8,6,2,9,7,3,10,4]
[7,8,9,10,3,4,5,2,1,6]=>[5,1,6,2,9,8,7,3,10,4]
[7,8,9,10,4,5,2,3,1,6]=>[1,7,5,2,9,8,6,3,10,4]
[7,8,9,10,4,5,3,2,1,6]=>[1,5,2,9,8,7,6,3,10,4]
[7,8,9,10,5,4,3,2,1,6]=>[1,2,9,8,7,6,5,3,10,4]
[8,9,10,3,4,5,6,1,2,7]=>[4,5,8,6,1,9,7,2,10,3]
[8,9,10,3,4,5,6,2,1,7]=>[4,5,6,1,9,8,7,2,10,3]
[8,9,10,4,5,6,1,2,3,7]=>[7,4,8,5,1,9,6,2,10,3]
[8,9,10,4,5,6,3,2,1,7]=>[4,5,1,9,8,7,6,2,10,3]
[8,9,10,5,6,3,4,1,2,7]=>[8,6,4,1,9,7,5,2,10,3]
[8,9,10,5,6,3,4,2,1,7]=>[6,4,1,9,8,7,5,2,10,3]
[8,9,10,5,6,4,3,2,1,7]=>[4,1,9,8,7,6,5,2,10,3]
[8,9,10,6,5,4,3,2,1,7]=>[1,9,8,7,6,5,4,2,10,3]
[9,10,5,6,7,2,3,4,1,8]=>[6,3,7,4,9,8,5,1,10,2]
[9,10,5,6,7,3,4,1,2,8]=>[3,8,6,4,9,7,5,1,10,2]
[9,10,5,6,7,3,4,2,1,8]=>[3,6,4,9,8,7,5,1,10,2]
[9,10,5,6,7,4,3,2,1,8]=>[3,4,9,8,7,6,5,1,10,2]
[9,10,6,7,4,5,3,2,1,8]=>[5,3,9,8,7,6,4,1,10,2]
[9,10,6,7,5,4,3,2,1,8]=>[3,9,8,7,6,5,4,1,10,2]
[9,10,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,1,10,2]
[10,7,8,5,6,3,4,2,1,9]=>[6,4,2,9,8,7,5,3,10,1]
[10,7,8,5,6,4,3,2,1,9]=>[4,2,9,8,7,6,5,3,10,1]
[10,7,8,6,5,4,3,2,1,9]=>[2,9,8,7,6,5,4,3,10,1]
[10,9,1,2,3,7,8,4,5,6]=>[8,9,6,10,3,4,5,7,2,1]
[10,9,1,2,8,7,3,4,5,6]=>[7,8,9,10,6,3,4,5,2,1]
[9,8,1,10,7,2,3,4,5,6]=>[6,7,8,9,10,5,3,2,1,4]
[8,6,1,2,3,4,5,9,10,7]=>[8,10,3,4,5,2,6,1,7,9]
[5,7,1,2,3,4,8,9,10,6]=>[7,8,1,10,3,4,2,5,6,9]
[10,4,1,2,3,7,8,9,5,6]=>[6,2,9,7,10,3,4,5,8,1]
[10,3,1,2,9,7,8,4,5,6]=>[8,9,2,6,10,7,3,4,5,1]
[2,9,1,10,8,7,3,4,5,6]=>[7,8,9,10,6,5,1,3,2,4]
[4,2,6,1,3,5,8,7,10,9]=>[7,1,10,2,4,3,5,6,8,9]
[4,2,6,1,8,3,5,7,10,9]=>[1,10,6,2,3,7,4,5,8,9]
[4,2,6,1,8,3,10,5,7,9]=>[1,8,3,9,2,5,10,4,6,7]
[10,7,1,8,2,9,3,4,5,6]=>[7,8,9,10,5,3,2,4,6,1]
[9,7,1,10,8,2,3,4,5,6]=>[6,7,8,9,2,10,5,3,1,4]
[10,9,7,1,8,2,3,4,5,6]=>[6,7,8,9,10,4,3,5,2,1]
[10,6,1,7,2,8,3,9,4,5]=>[9,10,7,5,3,2,4,6,8,1]
[9,6,1,10,7,2,8,3,4,5]=>[8,9,2,10,6,5,7,3,1,4]
[10,9,6,1,7,2,8,3,4,5]=>[8,9,10,6,4,3,5,7,2,1]
[10,8,6,1,9,7,2,3,4,5]=>[7,8,9,3,10,6,4,2,5,1]
[10,9,8,6,1,7,2,3,4,5]=>[7,8,9,10,5,4,6,3,2,1]
[9,5,1,10,6,2,7,3,8,4]=>[2,10,8,6,5,7,9,3,1,4]
[10,9,5,1,6,2,7,3,8,4]=>[10,8,6,4,3,5,7,9,2,1]
[8,5,1,9,6,2,10,7,3,4]=>[2,9,5,10,8,6,3,1,4,7]
[10,8,5,1,9,6,2,7,3,4]=>[9,3,10,7,6,8,4,2,5,1]
[10,9,8,5,1,6,2,7,3,4]=>[9,10,7,5,4,6,8,3,2,1]
[9,7,5,1,10,8,6,2,3,4]=>[8,3,9,2,10,7,6,4,1,5]
[10,9,7,5,1,8,6,2,3,4]=>[8,9,4,10,7,5,3,6,2,1]
[10,9,8,7,5,1,6,2,3,4]=>[8,9,10,6,5,7,4,3,2,1]
[9,7,4,1,10,8,5,2,6,3]=>[10,3,8,7,2,9,6,4,1,5]
[10,9,7,4,1,8,5,2,6,3]=>[4,10,8,7,9,5,3,6,2,1]
[10,9,8,7,4,1,5,2,6,3]=>[10,8,6,5,7,9,4,3,2,1]
[10,8,6,4,1,9,7,5,2,3]=>[4,9,3,10,8,7,5,2,6,1]
[10,9,8,6,4,1,7,5,2,3]=>[9,5,10,8,6,4,7,3,2,1]
[10,9,8,7,6,4,1,5,2,3]=>[9,10,7,6,8,5,4,3,2,1]
[10,9,7,5,3,1,8,6,4,2]=>[10,5,4,9,8,6,3,7,2,1]
[10,9,8,7,5,3,1,6,4,2]=>[6,10,9,7,5,8,4,3,2,1]
[10,9,8,7,6,5,3,1,4,2]=>[10,8,7,9,6,5,4,3,2,1]
[2,3,4,10,6,7,8,9,1,5]=>[5,6,9,7,10,1,2,3,8,4]
[2,3,10,5,6,7,8,9,1,4]=>[4,5,6,9,7,10,1,2,8,3]
[2,3,4,5,6,10,1,9,7,8]=>[9,10,1,2,3,4,5,7,8,6]
[2,3,4,5,10,1,8,9,6,7]=>[9,7,10,1,2,3,4,6,8,5]
[2,3,10,1,6,7,8,9,4,5]=>[5,6,9,7,10,1,2,4,8,3]
[1,4,2,6,5,8,7,10,9,3]=>[2,4,6,10,5,7,9,1,3,8]
[1,5,2,6,4,8,7,10,9,3]=>[4,2,6,10,5,7,9,1,3,8]
[1,5,2,7,4,8,6,10,9,3]=>[2,6,4,10,5,7,9,1,3,8]
[1,5,2,7,4,9,6,10,8,3]=>[2,4,10,7,5,6,9,1,3,8]
[1,5,2,7,4,9,6,8,10,3]=>[2,7,4,8,5,6,10,1,3,9]
[1,5,2,7,4,6,9,8,10,3]=>[2,8,5,4,6,7,10,1,3,9]
[1,5,2,4,7,6,9,8,10,3]=>[5,2,8,4,6,7,10,1,3,9]
[1,2,5,4,7,6,9,8,10,3]=>[3,5,8,4,6,7,10,1,2,9]
[9,10,7,8,5,3,6,4,1,2]=>[6,9,5,3,1,10,8,7,4,2]
[9,10,7,8,5,3,1,6,4,2]=>[6,10,9,7,5,3,1,8,4,2]
[9,10,7,5,8,6,3,4,1,2]=>[4,9,7,3,1,10,8,6,5,2]
[9,10,7,5,8,6,3,1,4,2]=>[4,10,8,7,3,1,9,6,5,2]
[9,10,7,5,8,3,6,4,1,2]=>[6,4,9,3,1,10,8,7,5,2]
[9,10,7,5,8,3,1,6,4,2]=>[6,4,10,9,7,3,1,8,5,2]
[9,10,7,5,3,8,6,4,1,2]=>[9,4,10,5,3,1,8,7,6,2]
[9,10,7,5,3,8,6,1,4,2]=>[10,5,4,8,3,1,9,7,6,2]
[9,10,7,5,3,8,1,6,4,2]=>[10,5,4,9,7,3,1,8,6,2]
[9,10,7,5,3,1,8,6,4,2]=>[10,5,4,9,8,6,3,1,7,2]
[9,7,10,8,5,6,3,1,4,2]=>[2,10,8,7,5,1,9,6,4,3]
[9,7,10,8,5,3,6,4,1,2]=>[6,2,9,5,1,10,8,7,4,3]
[9,7,10,8,5,3,6,1,4,2]=>[6,2,10,8,5,1,9,7,4,3]
[9,7,10,8,5,3,1,6,4,2]=>[6,2,10,9,7,5,1,8,4,3]
[9,7,10,5,8,6,3,1,4,2]=>[4,2,10,8,7,1,9,6,5,3]
[9,7,10,5,8,3,1,6,4,2]=>[6,4,2,10,9,7,1,8,5,3]
[9,7,10,5,3,8,6,4,1,2]=>[9,4,2,10,5,1,8,7,6,3]
[9,7,10,5,3,8,6,1,4,2]=>[10,5,4,2,8,1,9,7,6,3]
[9,7,10,5,3,8,1,6,4,2]=>[10,5,4,2,9,7,1,8,6,3]
[9,7,10,5,3,1,8,6,4,2]=>[10,5,4,2,9,8,6,1,7,3]
[9,7,5,10,8,6,3,4,1,2]=>[9,3,2,7,1,10,8,6,5,4]
[9,7,5,10,8,6,3,1,4,2]=>[10,3,2,8,7,1,9,6,5,4]
[9,7,5,10,8,3,6,4,1,2]=>[3,6,2,9,1,10,8,7,5,4]
[9,7,5,10,8,3,6,1,4,2]=>[3,6,2,10,8,1,9,7,5,4]
[9,7,5,10,8,3,1,6,4,2]=>[3,6,2,10,9,7,1,8,5,4]
[9,7,5,10,3,8,6,4,1,2]=>[3,9,2,10,5,1,8,7,6,4]
[9,7,5,10,3,8,6,1,4,2]=>[3,10,5,2,8,1,9,7,6,4]
[9,7,5,10,3,8,1,6,4,2]=>[3,10,5,2,9,7,1,8,6,4]
[9,7,5,10,3,1,8,6,4,2]=>[3,10,5,2,9,8,6,1,7,4]
[9,7,5,3,10,8,6,4,1,2]=>[3,9,2,10,8,4,1,7,6,5]
[9,7,5,3,10,8,6,1,4,2]=>[3,10,8,2,9,4,1,7,6,5]
[9,7,5,3,10,8,1,6,4,2]=>[3,10,9,4,2,7,1,8,6,5]
[9,7,5,3,10,1,8,6,4,2]=>[3,10,9,4,2,8,6,1,7,5]
[5,6,7,8,10,9,4,3,2,1]=>[10,1,2,3,4,9,8,7,6,5]
[6,5,7,8,9,10,4,3,2,1]=>[2,1,3,4,5,10,9,8,7,6]
[4,5,6,7,8,10,9,3,2,1]=>[10,1,2,3,4,5,9,8,7,6]
[5,4,6,7,8,9,10,3,2,1]=>[2,1,3,4,5,6,10,9,8,7]
[3,4,5,6,7,9,10,8,1,2]=>[9,1,2,3,4,5,6,10,8,7]
[3,4,5,6,8,9,10,7,1,2]=>[5,9,1,2,3,4,6,10,8,7]
[3,4,6,7,8,9,10,5,1,2]=>[3,4,5,9,1,2,6,10,8,7]
[3,5,6,7,8,9,10,4,1,2]=>[2,3,4,5,9,1,6,10,8,7]
[3,4,5,6,7,10,1,8,9,2]=>[1,2,3,4,5,8,10,7,9,6]
[3,4,5,6,9,1,10,8,7,2]=>[10,9,1,2,3,4,8,6,5,7]
[3,4,5,8,1,9,10,7,6,2]=>[6,4,10,1,2,3,9,8,5,7]
[3,4,7,1,8,9,10,5,6,2]=>[5,3,8,1,2,6,10,9,4,7]
[3,6,1,7,8,9,10,5,4,2]=>[4,2,5,6,10,1,9,8,3,7]
[5,1,6,7,8,9,10,4,3,2]=>[3,1,4,5,6,10,9,8,2,7]
[6,10,5,1,2,3,4,7,8,9]=>[4,5,6,1,7,3,8,9,10,2]
[10,5,4,1,2,3,6,7,8,9]=>[4,5,6,3,2,7,8,9,10,1]
[10,9,3,4,5,6,8,7,2,1]=>[10,3,4,5,6,9,8,7,2,1]
[10,9,4,3,5,6,7,8,2,1]=>[4,3,5,6,7,10,9,8,2,1]
[10,3,4,5,6,7,9,8,2,1]=>[10,2,3,4,5,6,9,8,7,1]
[10,4,3,5,6,7,8,9,2,1]=>[3,2,4,5,6,7,10,9,8,1]
[1,7,5,6,8,4,9,3,10,2]=>[3,4,2,6,5,8,7,10,1,9]
[1,2,3,4,5,8,6,9,7,10]=>[9,7,1,2,3,4,5,6,8,10]
[1,2,3,4,5,9,6,10,7,8]=>[9,10,7,1,2,3,4,5,6,8]
[10,8,7,6,5,4,3,9,2,1]=>[7,6,5,4,3,2,10,9,8,1]
[10,9,7,6,5,4,8,3,2,1]=>[6,5,4,3,10,9,8,7,2,1]
[1,2,3,4,5,6,7,8,9,11,10]=>[11,1,2,3,4,5,6,7,8,9,10]
[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]
[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]
[10,1,2,3,4,5,6,7,8,11,9]=>[11,2,3,4,5,6,7,8,9,1,10]
[11,1,2,3,4,5,6,7,10,8,9]=>[10,11,2,3,4,5,6,7,8,9,1]
[11,1,2,3,4,5,6,10,7,8,9]=>[9,10,11,2,3,4,5,6,7,8,1]
[10,1,2,3,4,5,11,6,7,8,9]=>[8,9,10,11,2,3,4,5,6,1,7]
[11,1,2,3,4,10,5,6,7,8,9]=>[7,8,9,10,11,2,3,4,5,6,1]
[11,1,2,3,10,4,5,6,7,8,9]=>[6,7,8,9,10,11,2,3,4,5,1]
[10,1,2,11,3,4,5,6,7,8,9]=>[5,6,7,8,9,10,11,2,3,1,4]
[11,1,10,2,3,4,5,6,7,8,9]=>[4,5,6,7,8,9,10,11,2,3,1]
[11,10,1,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,11,2,1]
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]
[1,11,10,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,3,1,2]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,11,10]
[2,3,4,5,6,7,8,9,11,1,10]=>[1,2,3,4,5,6,7,8,10,11,9]
[3,1,4,5,6,7,8,9,10,11,2]=>[3,1,4,5,6,7,8,9,11,2,10]
[11,3,4,5,6,7,8,9,1,2,10]=>[2,3,4,5,6,9,7,10,8,11,1]
[11,1,4,5,6,7,8,9,10,2,3]=>[3,4,5,6,7,10,8,11,2,9,1]
[10,1,2,3,4,5,6,7,8,9,11]=>[2,3,4,5,6,7,8,9,10,1,11]
[1,11,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,1,2]
[10,9,8,7,6,5,4,3,1,11,2]=>[11,9,8,7,6,5,4,3,2,1,10]
[9,11,8,7,6,5,4,3,2,1,10]=>[1,10,9,8,7,6,5,4,3,11,2]
[1,9,8,7,6,5,4,3,11,10,2]=>[7,6,5,4,3,2,11,8,10,1,9]
[1,11,8,7,6,5,4,3,2,10,9]=>[8,7,6,5,4,3,11,9,10,1,2]
[10,11,9,8,7,6,5,4,3,2,1]=>[1,11,10,9,8,7,6,5,4,3,2]
[11,10,9,8,7,6,5,4,3,1,2]=>[10,11,9,8,7,6,5,4,3,2,1]
[2,3,4,5,6,7,8,9,10,1,11]=>[1,2,3,4,5,6,7,8,10,9,11]
[1,3,4,5,6,7,8,9,10,11,2]=>[2,3,4,5,6,7,8,9,11,1,10]
[2,11,1,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]
[11,3,1,2,4,5,6,7,8,9,10]=>[3,4,2,5,6,7,8,9,10,11,1]
[11,4,1,2,3,5,6,7,8,9,10]=>[3,4,5,2,6,7,8,9,10,11,1]
[5,11,1,2,3,4,6,7,8,9,10]=>[3,4,5,1,6,7,8,9,10,11,2]
[11,6,1,2,3,4,5,7,8,9,10]=>[3,4,5,6,7,2,8,9,10,11,1]
[11,7,1,2,3,4,5,6,8,9,10]=>[3,4,5,6,7,8,2,9,10,11,1]
[8,11,1,2,3,4,5,6,7,9,10]=>[3,4,5,6,7,8,1,9,10,11,2]
[11,9,1,2,3,4,5,6,7,8,10]=>[3,4,5,6,7,8,9,10,2,11,1]
[11,9,8,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,3,2,11,1]
[10,9,8,7,6,5,4,3,2,11,1]=>[9,8,7,6,5,4,3,2,1,11,10]
[9,8,10,7,6,5,4,3,2,1,11]=>[2,1,10,9,8,7,6,5,4,3,11]
[9,8,7,10,6,5,4,3,2,1,11]=>[3,2,1,10,9,8,7,6,5,4,11]
[9,8,7,6,11,5,4,3,2,1,10]=>[4,3,2,1,10,9,8,7,6,11,5]
[9,8,7,6,5,10,4,3,2,1,11]=>[5,4,3,2,1,10,9,8,7,6,11]
[9,8,7,6,5,4,10,3,2,1,11]=>[6,5,4,3,2,1,10,9,8,7,11]
[9,8,7,6,5,4,3,11,2,1,10]=>[7,6,5,4,3,2,1,10,9,11,8]
[9,8,7,6,5,4,3,2,10,1,11]=>[8,7,6,5,4,3,2,1,10,9,11]
[9,8,7,6,5,4,3,2,1,10,11]=>[9,8,7,6,5,4,3,2,1,10,11]
[2,3,4,5,6,7,8,10,11,9,1]=>[8,11,1,2,3,4,5,6,7,10,9]
[2,3,4,5,6,7,9,10,11,8,1]=>[7,8,11,1,2,3,4,5,6,10,9]
[2,3,4,5,6,8,9,10,11,1,7]=>[6,7,10,1,2,3,4,5,8,11,9]
[2,3,4,5,7,8,9,10,11,6,1]=>[5,6,7,8,11,1,2,3,4,10,9]
[2,3,4,6,7,8,9,10,11,5,1]=>[4,5,6,7,8,11,1,2,3,10,9]
[2,3,5,6,7,8,9,10,11,1,4]=>[3,4,5,6,7,10,1,2,8,11,9]
[2,4,5,6,7,8,9,10,11,3,1]=>[2,3,4,5,6,7,8,11,1,10,9]
[3,4,5,6,7,8,9,10,11,2,1]=>[1,2,3,4,5,6,7,8,11,10,9]
[10,1,11,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,2,1,3]
[2,11,10,9,8,7,6,5,4,1,3]=>[10,11,9,8,7,6,5,4,1,3,2]
[10,2,1,9,8,7,6,5,4,3,11]=>[10,9,8,7,6,2,5,3,4,1,11]
[3,2,10,9,8,7,6,5,4,1,11]=>[10,9,8,7,6,1,5,2,4,3,11]
[9,10,2,3,4,5,6,7,8,11,1]=>[3,4,5,6,7,8,1,9,2,11,10]
[2,10,11,3,4,5,6,7,8,9,1]=>[4,5,6,7,8,9,2,11,1,10,3]
[2,11,10,9,8,7,6,5,4,3,1]=>[11,10,9,8,7,6,5,4,1,3,2]
[11,1,10,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,2,3,1]
[1,11,10,9,8,7,6,5,2,4,3]=>[11,9,10,8,7,6,5,4,3,1,2]
[1,11,10,9,8,7,6,2,5,4,3]=>[11,10,8,9,7,6,5,4,3,1,2]
[2,11,10,9,8,7,1,6,5,4,3]=>[11,10,9,7,8,6,5,4,1,3,2]
[1,11,10,9,8,2,7,6,5,4,3]=>[11,10,9,8,6,7,5,4,3,1,2]
[1,11,10,9,2,8,7,6,5,4,3]=>[11,10,9,8,7,5,6,4,3,1,2]
[2,11,10,1,9,8,7,6,5,4,3]=>[11,10,9,8,7,6,4,5,1,3,2]
[1,11,2,10,9,8,7,6,5,4,3]=>[11,10,9,8,7,6,5,3,4,1,2]
[1,2,11,10,9,8,7,6,5,4,3]=>[11,10,9,8,7,6,5,4,1,2,3]
[6,7,8,9,10,1,2,3,4,5,11]=>[6,1,7,2,8,3,9,4,10,5,11]
[1,7,8,9,10,11,2,3,4,5,6]=>[7,2,8,3,9,4,10,5,11,1,6]
[2,4,1,5,6,7,8,9,10,11,3]=>[4,1,2,5,6,7,8,9,11,3,10]
[2,3,4,5,6,7,8,10,1,11,9]=>[11,1,2,3,4,5,6,7,9,8,10]
[2,3,5,1,6,7,8,9,10,11,4]=>[5,1,2,3,6,7,8,9,11,4,10]
[2,3,4,5,6,7,9,1,10,11,8]=>[9,1,2,3,4,5,6,7,11,8,10]
[2,3,4,6,1,7,8,9,10,11,5]=>[6,1,2,3,4,7,8,9,11,5,10]
[2,3,4,5,6,8,1,9,10,11,7]=>[8,1,2,3,4,5,6,9,11,7,10]
[2,3,4,5,7,1,8,9,10,11,6]=>[7,1,2,3,4,5,8,9,11,6,10]
[1,2,3,4,6,8,5,7,10,9,11]=>[10,5,7,1,2,3,4,6,8,9,11]
[1,2,3,4,7,5,8,6,10,9,11]=>[7,5,10,1,2,3,4,6,8,9,11]
[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]
[2,1,11,10,9,8,7,6,5,4,3]=>[11,10,9,8,7,6,5,1,4,2,3]
[1,2,3,4,5,6,7,8,10,11,9]=>[9,11,1,2,3,4,5,6,7,8,10]
[2,4,1,3,6,5,8,7,10,9,11]=>[5,1,2,7,10,3,4,6,8,9,11]
[11,3,4,5,6,7,8,9,10,1,2]=>[2,3,4,5,6,7,10,8,11,9,1]
[10,3,4,5,6,7,8,9,1,11,2]=>[2,3,4,5,6,7,11,9,8,1,10]
[9,3,4,5,6,7,8,1,10,11,2]=>[2,3,4,5,6,9,7,1,11,8,10]
[8,3,4,5,6,7,1,9,10,11,2]=>[2,3,4,5,8,6,1,9,11,7,10]
[7,3,4,5,6,1,8,9,10,11,2]=>[2,3,4,7,5,1,8,9,11,6,10]
[6,3,4,5,1,7,8,9,10,11,2]=>[2,3,6,4,1,7,8,9,11,5,10]
[5,3,4,1,6,7,8,9,10,11,2]=>[2,5,3,1,6,7,8,9,11,4,10]
[4,3,1,5,6,7,8,9,10,11,2]=>[4,2,1,5,6,7,8,9,11,3,10]
[2,11,4,5,6,7,8,9,10,1,3]=>[3,4,5,6,7,10,8,11,1,9,2]
[10,9,4,5,6,7,8,1,2,11,3]=>[3,4,5,11,8,6,9,7,2,1,10]
[2,11,10,5,6,7,8,9,1,3,4]=>[4,5,9,6,10,7,11,8,1,3,2]
[11,2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,11,10,1]
[1,9,11,10,8,7,6,5,4,3,2]=>[11,2,10,9,8,7,6,5,4,1,3]
[1,8,11,10,9,7,6,5,4,3,2]=>[11,10,2,9,8,7,6,5,4,1,3]
[7,1,11,10,9,8,6,5,4,3,2]=>[11,10,1,9,8,7,6,5,4,2,3]
[1,6,11,10,9,8,7,5,4,3,2]=>[11,10,9,8,2,7,6,5,4,1,3]
[1,5,11,10,9,8,7,6,4,3,2]=>[11,10,9,8,7,2,6,5,4,1,3]
[4,1,11,10,9,8,7,6,5,3,2]=>[11,10,9,8,7,1,6,5,4,2,3]
[1,3,11,10,9,8,7,6,5,4,2]=>[11,10,9,8,7,6,5,2,4,1,3]
[10,9,1,2,3,4,5,6,7,11,8]=>[11,3,4,5,6,7,8,9,2,1,10]
[2,11,10,1,3,4,5,6,7,8,9]=>[4,5,6,7,8,9,10,11,1,3,2]
[2,4,1,6,3,5,8,7,10,9,11]=>[2,7,1,4,10,3,5,6,8,9,11]
[10,1,2,3,4,5,6,7,11,8,9]=>[10,11,2,3,4,5,6,7,8,1,9]
[1,11,2,3,4,5,6,7,8,10,9]=>[11,3,4,5,6,7,8,9,10,1,2]
[1,2,11,3,4,5,6,7,8,10,9]=>[11,4,5,6,7,8,9,10,1,2,3]
[1,2,3,10,4,5,6,7,11,8,9]=>[10,11,5,6,7,8,1,2,3,4,9]
[1,2,3,4,11,5,6,7,8,10,9]=>[11,6,7,8,9,10,1,2,3,4,5]
[1,2,3,4,5,11,6,7,8,10,9]=>[11,7,8,9,10,1,2,3,4,5,6]
[1,2,3,4,5,6,10,7,11,8,9]=>[10,11,8,1,2,3,4,5,6,7,9]
[1,2,3,4,5,6,7,11,8,10,9]=>[11,9,10,1,2,3,4,5,6,7,8]
[1,2,3,4,5,6,7,8,11,10,9]=>[11,10,1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,7,8,11,9,10]=>[10,11,1,2,3,4,5,6,7,8,9]
[11,1,3,4,5,6,7,8,9,10,2]=>[3,4,5,6,7,8,9,11,2,10,1]
[10,2,3,4,5,6,7,8,11,1,9]=>[2,3,4,5,6,7,8,10,1,11,9]
[10,11,3,4,5,6,7,8,9,1,2]=>[3,4,5,6,7,10,8,1,11,9,2]
[7,1,2,3,4,5,11,6,8,9,10]=>[8,9,10,11,2,3,1,4,5,6,7]
[11,1,2,3,4,5,8,6,7,9,10]=>[8,9,2,3,4,5,6,7,10,11,1]
[11,1,2,3,4,5,9,6,7,8,10]=>[8,9,10,2,3,4,5,6,7,11,1]
[11,10,5,1,2,3,4,6,7,8,9]=>[4,5,6,7,3,8,9,10,11,2,1]
[11,10,1,5,2,3,4,6,7,8,9]=>[5,6,7,3,4,8,9,10,11,2,1]
[5,11,1,2,10,3,4,6,7,8,9]=>[6,7,1,8,9,10,11,3,4,5,2]
[5,11,1,2,3,10,4,6,7,8,9]=>[7,8,1,9,10,11,3,4,5,6,2]
[2,3,4,5,6,7,8,10,11,1,9]=>[10,1,2,3,4,5,6,7,8,11,9]
[2,4,5,6,7,8,9,10,11,1,3]=>[2,3,4,5,6,7,10,1,8,11,9]
[3,4,5,6,7,8,9,10,11,1,2]=>[1,2,3,4,5,6,7,10,8,11,9]
[10,11,1,9,2,3,4,5,6,7,8]=>[5,6,7,8,9,10,11,3,1,4,2]
[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]
[10,1,11,2,3,4,5,6,7,8,9]=>[4,5,6,7,8,9,10,11,2,1,3]
[10,11,1,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,1,11,2]
[3,1,4,2,6,5,8,7,10,9,11]=>[3,1,5,7,10,2,4,6,8,9,11]
[1,2,3,4,5,6,7,8,10,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]
[11,2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,10,9,11,1]
[3,11,1,4,5,6,7,8,9,10,2]=>[1,4,5,6,7,8,9,11,3,10,2]
[9,1,11,3,4,5,6,7,8,2,10]=>[4,5,6,7,8,10,9,1,11,2,3]
[2,3,4,5,6,7,8,9,11,10,1]=>[11,1,2,3,4,5,6,7,8,10,9]
[3,1,11,5,6,7,8,9,10,2,4]=>[4,5,6,7,10,1,8,11,9,2,3]
[2,3,1,4,5,6,7,8,9,10,11]=>[1,3,2,4,5,6,7,8,9,10,11]
[3,1,2,4,5,6,7,8,9,10,11]=>[2,3,1,4,5,6,7,8,9,10,11]
[3,4,5,6,7,8,9,10,1,2,11]=>[1,2,3,4,5,6,9,7,10,8,11]
[3,4,5,6,7,9,10,11,1,2,8]=>[9,1,2,3,4,5,6,10,7,11,8]
[3,4,6,7,8,9,10,11,1,2,5]=>[3,4,5,9,1,2,6,10,7,11,8]
[11,1,10,5,6,7,8,9,2,3,4]=>[4,5,9,6,10,7,11,8,2,3,1]
[10,1,11,9,6,7,8,2,3,4,5]=>[8,9,5,10,6,11,7,4,2,1,3]
[9,1,10,11,8,7,2,3,4,5,6]=>[7,8,9,10,3,1,11,6,5,2,4]
[8,1,9,10,11,2,3,4,5,6,7]=>[6,7,8,9,3,1,10,4,11,2,5]
[11,1,10,9,2,3,4,5,6,7,8]=>[5,6,7,8,9,10,11,4,2,3,1]
[9,8,7,6,5,4,3,2,1,11,10]=>[8,7,6,5,4,3,2,1,11,9,10]
[2,3,4,5,6,7,10,9,11,8,1]=>[8,7,11,1,2,3,4,5,6,10,9]
[2,3,4,5,6,10,8,9,11,7,1]=>[7,8,6,11,1,2,3,4,5,10,9]
[2,3,4,5,10,7,8,9,11,1,6]=>[6,7,10,8,1,2,3,4,5,11,9]
[2,3,4,10,6,7,8,9,11,5,1]=>[5,6,7,8,4,11,1,2,3,10,9]
[2,3,10,5,6,7,8,9,11,4,1]=>[4,5,6,7,8,3,11,1,2,10,9]
[2,10,4,5,6,7,8,9,11,1,3]=>[3,4,5,6,7,10,8,1,2,11,9]
[10,3,4,5,6,7,8,9,11,2,1]=>[2,3,4,5,6,7,8,1,11,10,9]
[1,3,2,5,4,7,6,9,8,11,10]=>[2,4,6,8,11,1,3,5,7,9,10]
[10,9,11,8,7,6,5,4,3,2,1]=>[2,1,11,10,9,8,7,6,5,4,3]
[3,4,5,6,7,8,9,10,1,11,2]=>[1,2,3,4,5,6,7,11,9,8,10]
[6,5,7,4,8,3,9,2,10,1,11]=>[2,1,4,3,6,5,8,7,10,9,11]
[1,7,6,8,5,9,4,10,3,11,2]=>[3,2,5,4,7,6,9,8,11,1,10]
[2,3,4,5,6,7,8,11,10,1,9]=>[10,11,1,2,3,4,5,6,7,9,8]
[11,3,4,5,6,7,8,10,1,2,9]=>[2,3,4,5,6,9,7,10,11,8,1]
[3,2,4,5,6,7,8,9,10,11,1]=>[2,1,3,4,5,6,7,8,9,11,10]
[3,4,2,5,6,7,8,9,10,11,1]=>[1,3,2,4,5,6,7,8,9,11,10]
[3,4,5,2,6,7,8,9,10,11,1]=>[1,2,4,3,5,6,7,8,9,11,10]
[3,4,5,6,1,7,8,9,10,11,2]=>[1,2,3,6,4,7,8,9,11,5,10]
[3,4,5,6,7,2,8,9,10,11,1]=>[1,2,3,4,6,5,7,8,9,11,10]
[3,4,5,6,7,8,2,9,10,11,1]=>[1,2,3,4,5,7,6,8,9,11,10]
[3,4,5,6,7,8,9,1,10,11,2]=>[1,2,3,4,5,6,9,7,11,8,10]
[3,4,5,6,7,8,9,10,2,11,1]=>[1,2,3,4,5,6,7,9,8,11,10]
[3,4,5,6,7,8,1,9,2,11,10]=>[1,2,3,4,5,8,6,11,7,9,10]
[1,4,5,6,7,11,8,9,2,10,3]=>[7,11,2,3,4,5,9,8,10,1,6]
[8,9,10,7,6,1,2,3,4,11,5]=>[11,6,7,1,8,2,9,5,4,3,10]
[2,9,10,11,8,7,1,3,4,5,6]=>[7,8,9,2,10,3,11,6,1,5,4]
[7,8,9,10,1,2,3,4,5,11,6]=>[11,5,6,1,7,2,8,3,9,4,10]
[2,8,9,10,11,1,3,4,5,6,7]=>[6,7,8,2,9,3,10,1,4,11,5]
[2,3,4,5,6,7,8,11,1,9,10]=>[1,2,3,4,5,6,7,9,10,11,8]
[2,3,4,5,6,7,11,1,8,9,10]=>[1,2,3,4,5,6,8,9,10,11,7]
[2,3,4,5,6,11,1,7,8,9,10]=>[1,2,3,4,5,7,8,9,10,11,6]
[2,3,4,5,11,1,6,7,8,9,10]=>[1,2,3,4,6,7,8,9,10,11,5]
[2,3,4,11,1,5,6,7,8,9,10]=>[1,2,3,5,6,7,8,9,10,11,4]
[2,3,11,1,4,5,6,7,8,9,10]=>[1,2,4,5,6,7,8,9,10,11,3]
[3,1,4,5,6,7,8,9,11,2,10]=>[3,1,4,5,6,7,8,10,11,2,9]
[2,11,1,3,4,5,6,7,10,8,9]=>[10,11,1,3,4,5,6,7,8,9,2]
[2,10,1,3,4,5,6,7,8,11,9]=>[11,1,3,4,5,6,7,8,9,2,10]
[11,2,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,11,1]
[11,10,2,3,4,5,6,7,8,9,1]=>[3,4,5,6,7,8,9,11,10,2,1]
[11,3,4,5,6,7,8,9,10,2,1]=>[2,3,4,5,6,7,8,11,10,9,1]
[9,11,1,2,3,4,5,6,7,8,10]=>[3,4,5,6,7,8,9,1,10,11,2]
[11,10,9,8,6,7,5,4,3,2,1]=>[5,11,10,9,8,7,6,4,3,2,1]
[11,1,2,3,4,5,6,10,8,7,9]=>[10,9,11,2,3,4,5,6,7,8,1]
[11,1,2,3,4,5,10,7,8,6,9]=>[8,10,9,11,2,3,4,5,6,7,1]
[10,1,2,3,4,11,6,7,8,5,9]=>[7,8,10,9,11,2,3,4,5,1,6]
[11,1,2,3,10,5,6,7,8,4,9]=>[6,7,8,10,9,11,2,3,4,5,1]
[11,1,2,10,4,5,6,7,8,3,9]=>[5,6,7,8,10,9,11,2,3,4,1]
[10,1,11,3,4,5,6,7,8,2,9]=>[4,5,6,7,8,10,9,11,2,1,3]
[11,10,2,3,4,5,6,7,8,1,9]=>[3,4,5,6,7,8,10,9,11,2,1]
[11,10,2,1,4,5,6,7,8,9,3]=>[3,5,6,7,8,9,11,4,10,2,1]
[10,11,8,1,2,3,4,5,6,7,9]=>[4,5,6,7,8,9,10,3,1,11,2]
[6,7,5,4,3,2,1,8,9,10,11]=>[1,7,6,5,4,3,2,8,9,10,11]
[7,6,5,4,3,1,2,8,9,10,11]=>[6,7,5,4,3,2,1,8,9,10,11]
[9,11,10,8,7,6,5,4,3,2,1]=>[11,1,10,9,8,7,6,5,4,3,2]
[11,10,9,8,5,7,6,4,3,2,1]=>[11,5,10,9,8,7,6,4,3,2,1]
[11,10,9,8,6,5,7,4,3,2,1]=>[6,5,11,10,9,8,7,4,3,2,1]
[8,9,1,2,3,4,5,6,10,11,7]=>[9,11,3,4,5,6,1,7,2,8,10]
[2,3,4,5,6,7,8,9,1,11,10]=>[1,2,3,4,5,6,7,8,11,9,10]
[3,4,1,5,6,7,8,9,10,11,2]=>[1,4,2,5,6,7,8,9,11,3,10]
[1,3,4,5,6,7,8,9,11,2,10]=>[2,3,4,5,6,7,8,10,11,1,9]
[1,4,2,5,6,7,8,9,11,10,3]=>[2,11,4,5,6,7,8,10,1,3,9]
[1,2,10,3,4,5,6,7,8,11,9]=>[11,4,5,6,7,8,9,1,2,3,10]
[1,2,3,4,5,10,6,7,8,11,9]=>[11,7,8,9,1,2,3,4,5,6,10]
[10,9,8,7,6,5,4,2,1,3,11]=>[9,8,10,7,6,5,4,3,2,1,11]
[10,9,8,7,6,5,3,2,1,4,11]=>[9,8,7,10,6,5,4,3,2,1,11]
[10,9,8,7,6,4,3,2,1,11,5]=>[8,7,6,11,9,5,4,3,2,1,10]
[10,9,8,7,5,4,3,2,1,6,11]=>[9,8,7,6,5,10,4,3,2,1,11]
[10,9,8,6,5,4,3,2,1,7,11]=>[9,8,7,6,5,4,10,3,2,1,11]
[10,9,7,6,5,4,3,2,1,11,8]=>[8,7,6,5,4,3,11,9,2,1,10]
[10,8,7,6,5,4,3,2,1,9,11]=>[9,8,7,6,5,4,3,2,10,1,11]
[11,9,10,8,7,6,5,4,3,2,1]=>[2,11,10,9,8,7,6,5,4,3,1]
[10,8,11,9,7,6,5,4,3,2,1]=>[11,2,1,10,9,8,7,6,5,4,3]
[10,8,6,5,4,3,2,1,11,9,7]=>[6,5,4,3,11,7,2,10,8,1,9]
[10,8,6,11,9,7,5,4,3,2,1]=>[2,11,10,3,1,9,8,7,6,5,4]
[11,9,7,5,10,8,6,4,3,2,1]=>[3,11,10,4,2,9,8,7,6,5,1]
[11,9,7,5,3,2,1,10,8,6,4]=>[11,5,4,10,6,3,9,7,2,8,1]
[11,9,7,5,3,10,8,6,4,2,1]=>[11,4,3,10,9,5,2,8,7,6,1]
[10,8,6,4,2,11,9,7,5,3,1]=>[3,11,10,4,2,9,8,5,1,7,6]
[5,6,7,8,9,11,1,2,3,4,10]=>[1,2,7,3,8,4,9,5,10,11,6]
[6,1,7,8,9,10,11,2,3,4,5]=>[3,1,8,4,9,5,10,6,11,2,7]
[3,4,5,6,7,8,9,11,1,10,2]=>[1,2,3,4,5,6,7,11,9,10,8]
[3,4,5,6,7,8,10,11,1,9,2]=>[11,1,2,3,4,5,6,9,7,10,8]
[3,4,5,6,8,9,10,11,1,7,2]=>[5,6,11,1,2,3,4,9,7,10,8]
[3,4,5,7,8,9,10,11,1,6,2]=>[4,5,6,11,1,2,3,9,7,10,8]
[3,5,6,7,8,9,10,11,1,4,2]=>[2,3,4,5,6,11,1,9,7,10,8]
[4,5,6,7,8,9,10,11,1,3,2]=>[1,2,3,4,5,6,11,9,7,10,8]
[10,2,3,4,5,6,7,8,9,11,1]=>[2,3,4,5,6,7,8,9,1,11,10]
[2,10,4,5,6,7,8,9,1,11,3]=>[3,4,5,6,7,11,9,1,8,2,10]
[4,3,11,5,6,7,8,9,10,2,1]=>[1,4,5,6,7,8,11,2,10,9,3]
[8,11,1,2,3,4,5,9,10,6,7]=>[10,8,11,3,4,5,1,6,7,9,2]
[10,11,1,2,3,4,8,9,5,6,7]=>[9,10,7,11,3,4,5,6,1,8,2]
[10,11,1,2,3,9,8,4,5,6,7]=>[8,9,10,11,7,3,4,5,1,6,2]
[10,9,1,2,11,8,3,4,5,6,7]=>[7,8,9,10,11,6,3,4,2,1,5]
[9,8,1,10,11,2,3,4,5,6,7]=>[6,7,8,9,10,4,2,1,11,3,5]
[11,8,9,10,1,2,3,4,5,6,7]=>[5,6,7,8,9,2,10,3,11,4,1]
[2,3,4,5,6,7,11,9,10,1,8]=>[10,8,11,1,2,3,4,5,6,9,7]
[2,3,4,5,6,11,8,9,10,1,7]=>[7,10,8,11,1,2,3,4,5,9,6]
[2,3,4,5,11,7,8,9,10,1,6]=>[6,7,10,8,11,1,2,3,4,9,5]
[2,3,4,11,6,7,8,9,10,1,5]=>[5,6,7,10,8,11,1,2,3,9,4]
[2,3,11,5,6,7,8,9,10,1,4]=>[4,5,6,7,10,8,11,1,2,9,3]
[5,6,7,8,9,11,10,4,3,2,1]=>[11,1,2,3,4,5,10,9,8,7,6]
[6,5,7,8,9,10,11,4,3,2,1]=>[2,1,3,4,5,6,11,10,9,8,7]
[3,4,5,6,7,8,10,11,9,1,2]=>[10,1,2,3,4,5,6,7,11,9,8]
[3,4,5,6,7,9,10,11,8,1,2]=>[6,10,1,2,3,4,5,7,11,9,8]
[3,4,5,7,8,9,10,11,6,1,2]=>[4,5,6,10,1,2,3,7,11,9,8]
[3,4,6,7,8,9,10,11,5,1,2]=>[3,4,5,6,10,1,2,7,11,9,8]
[4,5,6,7,8,9,10,11,3,1,2]=>[1,2,3,4,5,6,10,7,11,9,8]
[4,5,6,7,8,9,10,11,2,1,3]=>[1,2,3,4,5,6,10,9,7,11,8]
[11,10,3,4,5,6,7,9,8,2,1]=>[11,3,4,5,6,7,10,9,8,2,1]
[11,10,4,3,5,6,7,8,9,2,1]=>[4,3,5,6,7,8,11,10,9,2,1]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[1,3,5,7,9,12,2,4,6,8,10,11]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[12,11,1,3,5,7,10,2,4,6,8,9]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[9,8,1,3,5,7,12,2,4,6,10,11]
[2,1,4,3,6,5,12,9,8,11,10,7]=>[8,12,9,11,1,3,5,10,2,4,6,7]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[12,11,10,9,1,3,5,8,2,4,6,7]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[7,6,1,3,5,9,12,2,4,8,10,11]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[5,12,6,11,1,3,7,10,2,4,8,9]
[2,1,4,3,10,7,6,9,8,5,12,11]=>[6,9,7,8,1,3,5,12,2,4,10,11]
[2,1,4,3,12,7,6,9,8,11,10,5]=>[6,8,12,7,9,11,1,3,10,2,4,5]
[2,1,4,3,12,7,6,11,10,9,8,5]=>[12,11,6,10,7,9,1,3,8,2,4,5]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[9,8,7,6,1,3,5,12,2,4,10,11]
[2,1,4,3,12,9,8,7,6,11,10,5]=>[8,7,6,12,9,11,1,3,10,2,4,5]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[7,12,8,11,10,9,1,3,6,2,4,5]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[12,11,10,9,8,7,1,3,6,2,4,5]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[5,4,1,3,7,9,12,2,6,8,10,11]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[3,12,4,11,1,5,7,10,2,6,8,9]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[3,9,4,8,1,5,7,12,2,6,10,11]
[2,1,6,5,4,3,12,9,8,11,10,7]=>[3,8,12,4,9,11,1,5,10,2,6,7]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[12,11,3,10,4,9,1,5,8,2,6,7]
[2,1,8,5,4,7,6,3,10,9,12,11]=>[4,7,5,6,1,3,9,12,2,8,10,11]
[2,1,8,5,4,7,6,3,12,11,10,9]=>[12,4,6,3,11,1,5,7,10,2,8,9]
[2,1,10,5,4,7,6,9,8,3,12,11]=>[4,6,9,5,7,8,1,3,12,2,10,11]
[2,1,12,5,4,7,6,9,8,11,10,3]=>[4,6,8,12,5,7,9,11,1,10,2,3]
[2,1,12,5,4,7,6,11,10,9,8,3]=>[12,11,4,6,10,5,7,9,1,8,2,3]
[2,1,10,5,4,9,8,7,6,3,12,11]=>[9,8,4,7,5,6,1,3,12,2,10,11]
[2,1,12,5,4,9,8,7,6,11,10,3]=>[8,7,4,6,12,5,9,11,1,10,2,3]
[2,1,12,5,4,11,8,7,10,9,6,3]=>[7,12,8,11,4,10,5,9,1,6,2,3]
[2,1,12,5,4,11,10,9,8,7,6,3]=>[12,11,10,9,4,8,5,7,1,6,2,3]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[7,6,5,4,1,3,9,12,2,8,10,11]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[5,4,3,12,6,11,1,7,10,2,8,9]
[2,1,10,7,6,5,4,9,8,3,12,11]=>[6,5,4,9,7,8,1,3,12,2,10,11]
[2,1,12,7,6,5,4,9,8,11,10,3]=>[6,5,4,8,12,7,9,11,1,10,2,3]
[2,1,12,7,6,5,4,11,10,9,8,3]=>[4,12,5,11,6,10,7,9,1,8,2,3]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[5,9,6,8,7,4,1,3,12,2,10,11]
[2,1,12,9,6,5,8,7,4,11,10,3]=>[5,8,6,7,4,12,9,11,1,10,2,3]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[5,7,12,6,8,11,10,9,1,4,2,3]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[12,11,5,10,6,9,8,7,1,4,2,3]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[9,8,7,6,5,4,1,3,12,2,10,11]
[2,1,12,9,8,7,6,5,4,11,10,3]=>[8,7,6,5,4,12,9,11,1,10,2,3]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[7,6,5,12,8,11,10,9,1,4,2,3]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[6,12,7,11,10,9,8,5,1,4,2,3]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[12,11,10,9,8,7,6,5,1,4,2,3]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[3,2,1,5,7,9,12,4,6,8,10,11]
[4,3,2,1,6,5,8,7,12,11,10,9]=>[1,12,2,11,3,5,7,10,4,6,8,9]
[4,3,2,1,6,5,10,9,8,7,12,11]=>[1,9,2,8,3,5,7,12,4,6,10,11]
[4,3,2,1,6,5,12,9,8,11,10,7]=>[1,8,12,2,9,11,3,5,10,4,6,7]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[12,11,1,10,2,9,3,5,8,4,6,7]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[1,7,2,6,3,5,9,12,4,8,10,11]
[4,3,2,1,8,7,6,5,12,11,10,9]=>[1,5,12,2,6,11,3,7,10,4,8,9]
[4,3,2,1,10,7,6,9,8,5,12,11]=>[1,6,9,2,7,8,3,5,12,4,10,11]
[4,3,2,1,12,7,6,9,8,11,10,5]=>[1,6,8,12,2,7,9,11,3,10,4,5]
[4,3,2,1,12,7,6,11,10,9,8,5]=>[12,11,1,6,10,2,7,9,3,8,4,5]
[4,3,2,1,10,9,8,7,6,5,12,11]=>[9,8,1,7,2,6,3,5,12,4,10,11]
[4,3,2,1,12,9,8,7,6,11,10,5]=>[8,7,1,6,12,2,9,11,3,10,4,5]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[7,12,8,11,1,10,2,9,3,6,4,5]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[12,11,10,9,1,8,2,7,3,6,4,5]
[6,3,2,5,4,1,8,7,10,9,12,11]=>[2,5,3,4,1,7,9,12,6,8,10,11]
[6,3,2,5,4,1,8,7,12,11,10,9]=>[12,2,4,1,11,3,5,7,10,6,8,9]
[6,3,2,5,4,1,10,9,8,7,12,11]=>[9,2,4,1,8,3,5,7,12,6,10,11]
[6,3,2,5,4,1,12,9,8,11,10,7]=>[8,12,2,1,4,9,11,3,5,10,6,7]
[6,3,2,5,4,1,12,11,10,9,8,7]=>[1,12,11,10,2,4,9,3,5,8,6,7]
[8,3,2,5,4,7,6,1,10,9,12,11]=>[2,4,7,3,5,6,1,9,12,8,10,11]
[8,3,2,5,4,7,6,1,12,11,10,9]=>[12,2,4,6,11,3,1,5,7,10,8,9]
[10,3,2,5,4,7,6,9,8,1,12,11]=>[2,4,6,9,3,5,7,8,1,12,10,11]
[12,3,2,5,4,7,6,9,8,11,10,1]=>[2,4,6,8,12,3,5,7,9,11,10,1]
[12,3,2,5,4,7,6,11,10,9,8,1]=>[12,11,2,4,6,10,3,5,7,9,8,1]
[10,3,2,5,4,9,8,7,6,1,12,11]=>[9,8,2,4,7,3,5,6,1,12,10,11]
[12,3,2,5,4,9,8,7,6,11,10,1]=>[8,7,2,4,6,12,3,5,9,11,10,1]
[12,3,2,5,4,11,8,7,10,9,6,1]=>[7,12,8,11,2,4,10,3,5,9,6,1]
[12,3,2,5,4,11,10,9,8,7,6,1]=>[12,11,10,9,2,4,8,3,5,7,6,1]
[8,3,2,7,6,5,4,1,10,9,12,11]=>[7,6,2,5,3,4,1,9,12,8,10,11]
[8,3,2,7,6,5,4,1,12,11,10,9]=>[5,4,12,2,6,1,11,3,7,10,8,9]
[10,3,2,7,6,5,4,9,8,1,12,11]=>[6,5,2,4,9,3,7,8,1,12,10,11]
[12,3,2,7,6,5,4,9,8,11,10,1]=>[6,5,2,4,8,12,3,7,9,11,10,1]
[12,3,2,7,6,5,4,11,10,9,8,1]=>[4,12,5,11,2,6,10,3,7,9,8,1]
[10,3,2,9,6,5,8,7,4,1,12,11]=>[5,9,6,8,2,7,3,4,1,12,10,11]
[12,3,2,9,6,5,8,7,4,11,10,1]=>[5,8,6,7,2,4,12,3,9,11,10,1]
[12,3,2,11,6,5,8,7,10,9,4,1]=>[5,7,12,6,8,11,2,10,3,9,4,1]
[12,3,2,11,6,5,10,9,8,7,4,1]=>[12,11,5,10,6,9,2,8,3,7,4,1]
[10,3,2,9,8,7,6,5,4,1,12,11]=>[9,8,7,6,2,5,3,4,1,12,10,11]
[12,3,2,9,8,7,6,5,4,11,10,1]=>[8,7,6,5,2,4,12,3,9,11,10,1]
[12,3,2,11,8,7,6,5,10,9,4,1]=>[7,6,5,12,8,11,2,10,3,9,4,1]
[12,3,2,11,10,7,6,9,8,5,4,1]=>[6,12,7,11,10,9,2,8,3,5,4,1]
[12,3,2,11,10,9,8,7,6,5,4,1]=>[12,11,10,9,8,7,2,6,3,5,4,1]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[5,4,3,2,1,7,9,12,6,8,10,11]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[3,2,1,12,4,11,5,7,10,6,8,9]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[3,2,1,9,4,8,5,7,12,6,10,11]
[6,5,4,3,2,1,12,9,8,11,10,7]=>[3,2,1,8,12,4,9,11,5,10,6,7]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[1,12,2,11,3,10,4,9,5,8,6,7]
[8,5,4,3,2,7,6,1,10,9,12,11]=>[4,3,2,7,5,6,1,9,12,8,10,11]
[8,5,4,3,2,7,6,1,12,11,10,9]=>[3,2,12,4,6,1,11,5,7,10,8,9]
[10,5,4,3,2,7,6,9,8,1,12,11]=>[4,3,2,6,9,5,7,8,1,12,10,11]
[12,5,4,3,2,7,6,9,8,11,10,1]=>[4,3,2,6,8,12,5,7,9,11,10,1]
[12,5,4,3,2,7,6,11,10,9,8,1]=>[2,12,3,11,4,6,10,5,7,9,8,1]
[10,5,4,3,2,9,8,7,6,1,12,11]=>[2,9,3,8,4,7,5,6,1,12,10,11]
[12,5,4,3,2,9,8,7,6,11,10,1]=>[2,8,3,7,4,6,12,5,9,11,10,1]
[12,5,4,3,2,11,8,7,10,9,6,1]=>[2,7,12,3,8,11,4,10,5,9,6,1]
[12,5,4,3,2,11,10,9,8,7,6,1]=>[12,11,2,10,3,9,4,8,5,7,6,1]
[8,7,4,3,6,5,2,1,10,9,12,11]=>[3,7,4,6,5,2,1,9,12,8,10,11]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[3,5,12,4,2,1,6,11,7,10,8,9]
[10,7,4,3,6,5,2,9,8,1,12,11]=>[3,6,4,5,2,9,7,8,1,12,10,11]
[12,7,4,3,6,5,2,9,8,11,10,1]=>[3,6,4,5,2,8,12,7,9,11,10,1]
[12,7,4,3,6,5,2,11,10,9,8,1]=>[12,3,5,2,11,4,6,10,7,9,8,1]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[3,5,9,4,6,8,7,2,1,12,10,11]
[12,9,4,3,6,5,8,7,2,11,10,1]=>[3,5,8,4,6,7,2,12,9,11,10,1]
[12,11,4,3,6,5,8,7,10,9,2,1]=>[3,5,7,12,4,6,8,11,10,9,2,1]
[12,11,4,3,6,5,10,9,8,7,2,1]=>[12,11,3,5,10,4,6,9,8,7,2,1]
[10,9,4,3,8,7,6,5,2,1,12,11]=>[9,8,3,7,4,6,5,2,1,12,10,11]
[12,9,4,3,8,7,6,5,2,11,10,1]=>[8,7,3,6,4,5,2,12,9,11,10,1]
[12,11,4,3,8,7,6,5,10,9,2,1]=>[7,6,3,5,12,4,8,11,10,9,2,1]
[12,11,4,3,10,7,6,9,8,5,2,1]=>[6,12,7,11,3,10,4,9,8,5,2,1]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,3,8,4,7,6,5,2,1]
[8,7,6,5,4,3,2,1,10,9,12,11]=>[7,6,5,4,3,2,1,9,12,8,10,11]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[5,4,3,2,1,12,6,11,7,10,8,9]
[10,7,6,5,4,3,2,9,8,1,12,11]=>[6,5,4,3,2,9,7,8,1,12,10,11]
[12,7,6,5,4,3,2,9,8,11,10,1]=>[6,5,4,3,2,8,12,7,9,11,10,1]
[12,7,6,5,4,3,2,11,10,9,8,1]=>[4,3,2,12,5,11,6,10,7,9,8,1]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[5,4,3,9,6,8,7,2,1,12,10,11]
[12,9,6,5,4,3,8,7,2,11,10,1]=>[5,4,3,8,6,7,2,12,9,11,10,1]
[12,11,6,5,4,3,8,7,10,9,2,1]=>[5,4,3,7,12,6,8,11,10,9,2,1]
[12,11,6,5,4,3,10,9,8,7,2,1]=>[3,12,4,11,5,10,6,9,8,7,2,1]
[10,9,8,5,4,7,6,3,2,1,12,11]=>[4,9,5,8,7,6,3,2,1,12,10,11]
[12,9,8,5,4,7,6,3,2,11,10,1]=>[4,8,5,7,6,3,2,12,9,11,10,1]
[12,11,8,5,4,7,6,3,10,9,2,1]=>[4,7,5,6,3,12,8,11,10,9,2,1]
[12,11,10,5,4,7,6,9,8,3,2,1]=>[4,6,12,5,7,11,10,9,8,3,2,1]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[12,11,4,10,5,9,8,7,6,3,2,1]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[9,8,7,6,5,4,3,2,1,12,10,11]
[12,9,8,7,6,5,4,3,2,11,10,1]=>[8,7,6,5,4,3,2,12,9,11,10,1]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[7,6,5,4,3,12,8,11,10,9,2,1]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[6,5,4,12,7,11,10,9,8,3,2,1]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[5,12,6,11,10,9,8,7,4,3,2,1]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]
[2,4,6,8,10,12,1,3,5,7,9,11]=>[3,7,8,2,4,9,10,1,5,11,12,6]
[2,4,6,8,11,12,1,3,5,7,9,10]=>[3,7,8,2,4,9,10,11,1,5,12,6]
[2,4,6,9,10,12,1,3,5,7,8,11]=>[3,7,8,9,2,4,10,1,5,11,12,6]
[2,4,6,9,11,12,1,3,5,7,8,10]=>[3,7,8,9,2,4,10,11,1,5,12,6]
[2,4,6,10,11,12,1,3,5,7,8,9]=>[3,7,8,9,10,2,4,11,1,5,12,6]
[2,4,7,8,10,12,1,3,5,6,9,11]=>[7,3,8,2,4,9,10,1,5,11,12,6]
[2,4,7,8,11,12,1,3,5,6,9,10]=>[7,3,8,2,4,9,10,11,1,5,12,6]
[2,4,7,9,10,12,1,3,5,6,8,11]=>[7,3,8,9,2,4,10,1,5,11,12,6]
[2,4,7,9,11,12,1,3,5,6,8,10]=>[7,3,8,9,2,4,10,11,1,5,12,6]
[2,4,7,10,11,12,1,3,5,6,8,9]=>[7,3,8,9,10,2,4,11,1,5,12,6]
[2,4,8,9,10,12,1,3,5,6,7,11]=>[7,8,3,9,2,4,10,1,5,11,12,6]
[2,4,8,9,11,12,1,3,5,6,7,10]=>[7,8,3,9,2,4,10,11,1,5,12,6]
[2,4,8,10,11,12,1,3,5,6,7,9]=>[7,8,3,9,10,2,4,11,1,5,12,6]
[2,4,9,10,11,12,1,3,5,6,7,8]=>[7,8,9,3,10,2,4,11,1,5,12,6]
[2,5,6,8,10,12,1,3,4,7,9,11]=>[2,3,7,8,4,9,10,1,5,11,12,6]
[2,5,6,8,11,12,1,3,4,7,9,10]=>[2,3,7,8,4,9,10,11,1,5,12,6]
[2,5,6,9,10,12,1,3,4,7,8,11]=>[2,3,7,8,9,4,10,1,5,11,12,6]
[2,5,6,9,11,12,1,3,4,7,8,10]=>[2,3,7,8,9,4,10,11,1,5,12,6]
[2,5,6,10,11,12,1,3,4,7,8,9]=>[2,3,7,8,9,10,4,11,1,5,12,6]
[2,5,7,8,10,12,1,3,4,6,9,11]=>[7,2,3,8,4,9,10,1,5,11,12,6]
[2,5,7,8,11,12,1,3,4,6,9,10]=>[7,2,3,8,4,9,10,11,1,5,12,6]
[2,5,7,9,10,12,1,3,4,6,8,11]=>[7,2,3,8,9,4,10,1,5,11,12,6]
[2,5,7,9,11,12,1,3,4,6,8,10]=>[7,2,3,8,9,4,10,11,1,5,12,6]
[2,5,7,10,11,12,1,3,4,6,8,9]=>[7,2,3,8,9,10,4,11,1,5,12,6]
[2,5,8,9,10,12,1,3,4,6,7,11]=>[7,8,2,3,9,4,10,1,5,11,12,6]
[2,5,8,9,11,12,1,3,4,6,7,10]=>[7,8,2,3,9,4,10,11,1,5,12,6]
[2,5,8,10,11,12,1,3,4,6,7,9]=>[7,8,2,3,9,10,4,11,1,5,12,6]
[2,5,9,10,11,12,1,3,4,6,7,8]=>[7,8,9,2,3,10,4,11,1,5,12,6]
[2,6,7,8,10,12,1,3,4,5,9,11]=>[2,7,3,8,4,9,10,1,5,11,12,6]
[2,6,7,8,11,12,1,3,4,5,9,10]=>[2,7,3,8,4,9,10,11,1,5,12,6]
[2,6,7,9,10,12,1,3,4,5,8,11]=>[2,7,3,8,9,4,10,1,5,11,12,6]
[2,6,7,9,11,12,1,3,4,5,8,10]=>[2,7,3,8,9,4,10,11,1,5,12,6]
[2,6,7,10,11,12,1,3,4,5,8,9]=>[2,7,3,8,9,10,4,11,1,5,12,6]
[2,6,8,9,10,12,1,3,4,5,7,11]=>[2,7,8,3,9,4,10,1,5,11,12,6]
[2,6,8,9,11,12,1,3,4,5,7,10]=>[2,7,8,3,9,4,10,11,1,5,12,6]
[2,6,8,10,11,12,1,3,4,5,7,9]=>[2,7,8,3,9,10,4,11,1,5,12,6]
[2,6,9,10,11,12,1,3,4,5,7,8]=>[2,7,8,9,3,10,4,11,1,5,12,6]
[2,7,8,9,10,12,1,3,4,5,6,11]=>[7,2,8,3,9,4,10,1,5,11,12,6]
[2,7,8,9,11,12,1,3,4,5,6,10]=>[7,2,8,3,9,4,10,11,1,5,12,6]
[2,7,8,10,11,12,1,3,4,5,6,9]=>[7,2,8,3,9,10,4,11,1,5,12,6]
[2,7,9,10,11,12,1,3,4,5,6,8]=>[7,2,8,9,3,10,4,11,1,5,12,6]
[2,8,9,10,11,12,1,3,4,5,6,7]=>[7,8,2,9,3,10,4,11,1,5,12,6]
[3,4,6,8,10,12,1,2,5,7,9,11]=>[3,7,8,1,2,4,9,10,5,11,12,6]
[3,4,6,8,11,12,1,2,5,7,9,10]=>[3,7,8,1,2,4,9,10,11,5,12,6]
[3,4,6,9,10,12,1,2,5,7,8,11]=>[3,7,8,9,1,2,4,10,5,11,12,6]
[3,4,6,9,11,12,1,2,5,7,8,10]=>[3,7,8,9,1,2,4,10,11,5,12,6]
[3,4,6,10,11,12,1,2,5,7,8,9]=>[3,7,8,9,10,1,2,4,11,5,12,6]
[3,4,7,8,10,12,1,2,5,6,9,11]=>[7,3,8,1,2,4,9,10,5,11,12,6]
[3,4,7,8,11,12,1,2,5,6,9,10]=>[7,3,8,1,2,4,9,10,11,5,12,6]
[3,4,7,9,10,12,1,2,5,6,8,11]=>[7,3,8,9,1,2,4,10,5,11,12,6]
[3,4,7,9,11,12,1,2,5,6,8,10]=>[7,3,8,9,1,2,4,10,11,5,12,6]
[3,4,7,10,11,12,1,2,5,6,8,9]=>[7,3,8,9,10,1,2,4,11,5,12,6]
[3,4,8,9,10,12,1,2,5,6,7,11]=>[7,8,3,9,1,2,4,10,5,11,12,6]
[3,4,8,9,11,12,1,2,5,6,7,10]=>[7,8,3,9,1,2,4,10,11,5,12,6]
[3,4,8,10,11,12,1,2,5,6,7,9]=>[7,8,3,9,10,1,2,4,11,5,12,6]
[3,4,9,10,11,12,1,2,5,6,7,8]=>[7,8,9,3,10,1,2,4,11,5,12,6]
[3,5,6,8,10,12,1,2,4,7,9,11]=>[2,3,7,8,1,4,9,10,5,11,12,6]
[3,5,6,8,11,12,1,2,4,7,9,10]=>[2,3,7,8,1,4,9,10,11,5,12,6]
[3,5,6,9,10,12,1,2,4,7,8,11]=>[2,3,7,8,9,1,4,10,5,11,12,6]
[3,5,6,9,11,12,1,2,4,7,8,10]=>[2,3,7,8,9,1,4,10,11,5,12,6]
[3,5,6,10,11,12,1,2,4,7,8,9]=>[2,3,7,8,9,10,1,4,11,5,12,6]
[3,5,7,8,10,12,1,2,4,6,9,11]=>[7,2,3,8,1,4,9,10,5,11,12,6]
[3,5,7,8,11,12,1,2,4,6,9,10]=>[7,2,3,8,1,4,9,10,11,5,12,6]
[3,5,7,9,10,12,1,2,4,6,8,11]=>[7,2,3,8,9,1,4,10,5,11,12,6]
[3,5,7,9,11,12,1,2,4,6,8,10]=>[7,2,3,8,9,1,4,10,11,5,12,6]
[3,5,7,10,11,12,1,2,4,6,8,9]=>[7,2,3,8,9,10,1,4,11,5,12,6]
[3,5,8,9,10,12,1,2,4,6,7,11]=>[7,8,2,3,9,1,4,10,5,11,12,6]
[3,5,8,9,11,12,1,2,4,6,7,10]=>[7,8,2,3,9,1,4,10,11,5,12,6]
[3,5,8,10,11,12,1,2,4,6,7,9]=>[7,8,2,3,9,10,1,4,11,5,12,6]
[3,5,9,10,11,12,1,2,4,6,7,8]=>[7,8,9,2,3,10,1,4,11,5,12,6]
[3,6,7,8,10,12,1,2,4,5,9,11]=>[2,7,3,8,1,4,9,10,5,11,12,6]
[3,6,7,8,11,12,1,2,4,5,9,10]=>[2,7,3,8,1,4,9,10,11,5,12,6]
[3,6,7,9,10,12,1,2,4,5,8,11]=>[2,7,3,8,9,1,4,10,5,11,12,6]
[3,6,7,9,11,12,1,2,4,5,8,10]=>[2,7,3,8,9,1,4,10,11,5,12,6]
[3,6,7,10,11,12,1,2,4,5,8,9]=>[2,7,3,8,9,10,1,4,11,5,12,6]
[3,6,8,9,10,12,1,2,4,5,7,11]=>[2,7,8,3,9,1,4,10,5,11,12,6]
[3,6,8,9,11,12,1,2,4,5,7,10]=>[2,7,8,3,9,1,4,10,11,5,12,6]
[3,6,8,10,11,12,1,2,4,5,7,9]=>[2,7,8,3,9,10,1,4,11,5,12,6]
[3,6,9,10,11,12,1,2,4,5,7,8]=>[2,7,8,9,3,10,1,4,11,5,12,6]
[3,7,8,9,10,12,1,2,4,5,6,11]=>[7,2,8,3,9,1,4,10,5,11,12,6]
[3,7,8,9,11,12,1,2,4,5,6,10]=>[7,2,8,3,9,1,4,10,11,5,12,6]
[3,7,8,10,11,12,1,2,4,5,6,9]=>[7,2,8,3,9,10,1,4,11,5,12,6]
[3,7,9,10,11,12,1,2,4,5,6,8]=>[7,2,8,9,3,10,1,4,11,5,12,6]
[3,8,9,10,11,12,1,2,4,5,6,7]=>[7,8,2,9,3,10,1,4,11,5,12,6]
[4,5,6,8,10,12,1,2,3,7,9,11]=>[1,2,3,7,8,4,9,10,5,11,12,6]
[4,5,6,8,11,12,1,2,3,7,9,10]=>[1,2,3,7,8,4,9,10,11,5,12,6]
[4,5,6,9,10,12,1,2,3,7,8,11]=>[1,2,3,7,8,9,4,10,5,11,12,6]
[4,5,6,9,11,12,1,2,3,7,8,10]=>[1,2,3,7,8,9,4,10,11,5,12,6]
[4,5,6,10,11,12,1,2,3,7,8,9]=>[1,2,3,7,8,9,10,4,11,5,12,6]
[4,5,7,8,10,12,1,2,3,6,9,11]=>[7,1,2,3,8,4,9,10,5,11,12,6]
[4,5,7,8,11,12,1,2,3,6,9,10]=>[7,1,2,3,8,4,9,10,11,5,12,6]
[4,5,7,9,10,12,1,2,3,6,8,11]=>[7,1,2,3,8,9,4,10,5,11,12,6]
[4,5,7,9,11,12,1,2,3,6,8,10]=>[7,1,2,3,8,9,4,10,11,5,12,6]
[4,5,7,10,11,12,1,2,3,6,8,9]=>[7,1,2,3,8,9,10,4,11,5,12,6]
[4,5,8,9,10,12,1,2,3,6,7,11]=>[7,8,1,2,3,9,4,10,5,11,12,6]
[4,5,8,9,11,12,1,2,3,6,7,10]=>[7,8,1,2,3,9,4,10,11,5,12,6]
[4,5,8,10,11,12,1,2,3,6,7,9]=>[7,8,1,2,3,9,10,4,11,5,12,6]
[4,5,9,10,11,12,1,2,3,6,7,8]=>[7,8,9,1,2,3,10,4,11,5,12,6]
[4,6,7,8,10,12,1,2,3,5,9,11]=>[2,7,1,3,8,4,9,10,5,11,12,6]
[4,6,7,8,11,12,1,2,3,5,9,10]=>[2,7,1,3,8,4,9,10,11,5,12,6]
[4,6,7,9,10,12,1,2,3,5,8,11]=>[2,7,1,3,8,9,4,10,5,11,12,6]
[4,6,7,9,11,12,1,2,3,5,8,10]=>[2,7,1,3,8,9,4,10,11,5,12,6]
[4,6,7,10,11,12,1,2,3,5,8,9]=>[2,7,1,3,8,9,10,4,11,5,12,6]
[4,6,8,9,10,12,1,2,3,5,7,11]=>[2,7,8,1,3,9,4,10,5,11,12,6]
[4,6,8,9,11,12,1,2,3,5,7,10]=>[2,7,8,1,3,9,4,10,11,5,12,6]
[4,6,8,10,11,12,1,2,3,5,7,9]=>[2,7,8,1,3,9,10,4,11,5,12,6]
[4,6,9,10,11,12,1,2,3,5,7,8]=>[2,7,8,9,1,3,10,4,11,5,12,6]
[4,7,8,9,10,12,1,2,3,5,6,11]=>[7,2,8,1,3,9,4,10,5,11,12,6]
[4,7,8,9,11,12,1,2,3,5,6,10]=>[7,2,8,1,3,9,4,10,11,5,12,6]
[4,7,8,10,11,12,1,2,3,5,6,9]=>[7,2,8,1,3,9,10,4,11,5,12,6]
[4,7,9,10,11,12,1,2,3,5,6,8]=>[7,2,8,9,1,3,10,4,11,5,12,6]
[4,8,9,10,11,12,1,2,3,5,6,7]=>[7,8,2,9,1,3,10,4,11,5,12,6]
[5,6,7,8,10,12,1,2,3,4,9,11]=>[1,2,7,3,8,4,9,10,5,11,12,6]
[5,6,7,8,11,12,1,2,3,4,9,10]=>[1,2,7,3,8,4,9,10,11,5,12,6]
[5,6,7,9,10,12,1,2,3,4,8,11]=>[1,2,7,3,8,9,4,10,5,11,12,6]
[5,6,7,9,11,12,1,2,3,4,8,10]=>[1,2,7,3,8,9,4,10,11,5,12,6]
[5,6,7,10,11,12,1,2,3,4,8,9]=>[1,2,7,3,8,9,10,4,11,5,12,6]
[5,6,8,9,10,12,1,2,3,4,7,11]=>[1,2,7,8,3,9,4,10,5,11,12,6]
[5,6,8,9,11,12,1,2,3,4,7,10]=>[1,2,7,8,3,9,4,10,11,5,12,6]
[5,6,8,10,11,12,1,2,3,4,7,9]=>[1,2,7,8,3,9,10,4,11,5,12,6]
[5,6,9,10,11,12,1,2,3,4,7,8]=>[1,2,7,8,9,3,10,4,11,5,12,6]
[5,7,8,9,10,12,1,2,3,4,6,11]=>[7,1,2,8,3,9,4,10,5,11,12,6]
[5,7,8,9,11,12,1,2,3,4,6,10]=>[7,1,2,8,3,9,4,10,11,5,12,6]
[5,7,8,10,11,12,1,2,3,4,6,9]=>[7,1,2,8,3,9,10,4,11,5,12,6]
[5,7,9,10,11,12,1,2,3,4,6,8]=>[7,1,2,8,9,3,10,4,11,5,12,6]
[5,8,9,10,11,12,1,2,3,4,6,7]=>[7,8,1,2,9,3,10,4,11,5,12,6]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[1,7,2,8,3,9,4,10,5,11,12,6]
[6,7,8,9,11,12,1,2,3,4,5,10]=>[1,7,2,8,3,9,4,10,11,5,12,6]
[6,7,8,10,11,12,1,2,3,4,5,9]=>[1,7,2,8,3,9,10,4,11,5,12,6]
[6,7,9,10,11,12,1,2,3,4,5,8]=>[1,7,2,8,9,3,10,4,11,5,12,6]
[6,8,9,10,11,12,1,2,3,4,5,7]=>[1,7,8,2,9,3,10,4,11,5,12,6]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[7,1,8,2,9,3,10,4,11,5,12,6]
[2,3,4,5,6,7,8,9,10,12,1,11]=>[1,2,3,4,5,6,7,8,9,11,12,10]
[3,1,4,5,6,7,8,9,10,11,12,2]=>[3,1,4,5,6,7,8,9,10,12,2,11]
[2,1,4,3,6,5,8,7,11,12,10,9]=>[9,12,1,3,5,7,11,2,4,6,8,10]
[2,1,4,3,6,5,9,10,8,7,12,11]=>[7,9,1,3,5,8,12,2,4,6,10,11]
[2,1,4,3,6,5,9,11,8,12,10,7]=>[12,7,9,1,3,5,8,11,2,4,6,10]
[2,1,4,3,6,5,10,11,12,9,8,7]=>[7,8,12,11,1,3,5,10,2,4,6,9]
[2,1,4,3,7,8,6,5,10,9,12,11]=>[5,7,1,3,6,9,12,2,4,8,10,11]
[2,1,4,3,7,8,6,5,11,12,10,9]=>[5,6,9,12,1,3,7,11,2,4,8,10]
[2,1,4,3,7,9,6,10,8,5,12,11]=>[9,5,7,1,3,6,8,12,2,4,10,11]
[2,1,4,3,7,9,6,11,8,12,10,5]=>[6,12,5,9,1,3,7,8,11,2,4,10]
[2,1,4,3,7,10,6,11,12,9,8,5]=>[8,6,12,5,11,1,3,7,10,2,4,9]
[2,1,4,3,8,9,10,7,6,5,12,11]=>[5,6,9,8,1,3,7,12,2,4,10,11]
[2,1,4,3,8,9,11,7,6,12,10,5]=>[5,6,8,12,9,1,3,7,11,2,4,10]
[2,1,4,3,8,10,11,7,12,9,6,5]=>[6,12,5,8,7,11,1,3,10,2,4,9]
[2,1,4,3,9,10,11,12,8,7,6,5]=>[5,6,7,12,11,10,1,3,9,2,4,8]
[2,1,5,6,4,3,8,7,10,9,12,11]=>[3,5,1,4,7,9,12,2,6,8,10,11]
[2,1,5,6,4,3,8,7,11,12,10,9]=>[3,4,9,12,1,5,7,11,2,6,8,10]
[2,1,5,6,4,3,9,10,8,7,12,11]=>[3,4,7,9,1,5,8,12,2,6,10,11]
[2,1,5,6,4,3,9,11,8,12,10,7]=>[12,3,4,7,9,1,5,8,11,2,6,10]
[2,1,5,6,4,3,10,11,12,9,8,7]=>[7,8,12,3,4,11,1,5,10,2,6,9]
[2,1,5,7,4,8,6,3,10,9,12,11]=>[7,3,5,1,4,6,9,12,2,8,10,11]
[2,1,5,7,4,8,6,3,11,12,10,9]=>[6,3,4,9,12,1,5,7,11,2,8,10]
[2,1,5,7,4,9,6,10,8,3,12,11]=>[4,9,3,7,1,5,6,8,12,2,10,11]
[2,1,5,7,4,9,6,11,8,12,10,3]=>[4,6,12,3,9,1,5,7,8,11,2,10]
[2,1,5,7,4,10,6,11,12,9,8,3]=>[8,4,6,12,3,11,1,5,7,10,2,9]
[2,1,5,8,4,9,10,7,6,3,12,11]=>[6,4,9,3,8,1,5,7,12,2,10,11]
[2,1,5,8,4,9,11,7,6,12,10,3]=>[6,4,8,12,3,9,1,5,7,11,2,10]
[2,1,5,8,4,10,11,7,12,9,6,3]=>[4,6,12,8,3,7,11,1,5,10,2,9]
[2,1,5,9,4,10,11,12,8,7,6,3]=>[6,4,7,12,11,3,10,1,5,9,2,8]
[2,1,6,7,8,5,4,3,10,9,12,11]=>[3,4,7,6,1,5,9,12,2,8,10,11]
[2,1,6,7,8,5,4,3,11,12,10,9]=>[3,4,6,5,9,12,1,7,11,2,8,10]
[2,1,6,7,9,5,4,10,8,3,12,11]=>[3,4,6,9,7,1,5,8,12,2,10,11]
[2,1,6,7,9,5,4,11,8,12,10,3]=>[12,3,4,6,5,9,1,7,8,11,2,10]
[2,1,6,7,10,5,4,11,12,9,8,3]=>[8,12,3,4,6,5,11,1,7,10,2,9]
[2,1,6,8,9,5,10,7,4,3,12,11]=>[4,9,3,6,5,8,1,7,12,2,10,11]
[2,1,6,8,9,5,11,7,4,12,10,3]=>[4,8,3,5,12,6,9,1,7,11,2,10]
[2,1,6,8,10,5,11,7,12,9,4,3]=>[12,4,8,3,6,5,7,11,1,10,2,9]
[2,1,6,9,10,5,11,12,8,7,4,3]=>[4,7,5,12,3,11,6,10,1,9,2,8]
[2,1,7,8,9,10,6,5,4,3,12,11]=>[3,4,5,9,8,7,1,6,12,2,10,11]
[2,1,7,8,9,11,6,5,4,12,10,3]=>[3,4,5,8,7,12,9,1,6,11,2,10]
[2,1,7,8,10,11,6,5,12,9,4,3]=>[7,3,4,5,12,8,6,11,1,10,2,9]
[2,1,7,9,10,11,6,12,8,5,4,3]=>[4,5,12,3,7,6,11,10,1,9,2,8]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[3,4,5,6,12,11,10,9,1,8,2,7]
[3,4,2,1,6,5,8,7,10,9,12,11]=>[1,3,2,5,7,9,12,4,6,8,10,11]
[3,4,2,1,6,5,8,7,11,12,10,9]=>[1,2,9,12,3,5,7,11,4,6,8,10]
[3,4,2,1,6,5,9,10,8,7,12,11]=>[1,2,7,9,3,5,8,12,4,6,10,11]
[3,4,2,1,6,5,9,11,8,12,10,7]=>[12,1,2,7,9,3,5,8,11,4,6,10]
[3,4,2,1,6,5,10,11,12,9,8,7]=>[7,8,12,1,2,11,3,5,10,4,6,9]
[3,4,2,1,7,8,6,5,10,9,12,11]=>[1,2,5,7,3,6,9,12,4,8,10,11]
[3,4,2,1,7,8,6,5,11,12,10,9]=>[1,2,5,6,9,12,3,7,11,4,8,10]
[3,4,2,1,7,9,6,10,8,5,12,11]=>[9,1,2,5,7,3,6,8,12,4,10,11]
[3,4,2,1,7,9,6,11,8,12,10,5]=>[6,12,1,2,5,9,3,7,8,11,4,10]
[3,4,2,1,7,10,6,11,12,9,8,5]=>[8,6,12,1,2,5,11,3,7,10,4,9]
[3,4,2,1,8,9,10,7,6,5,12,11]=>[5,6,9,1,2,8,3,7,12,4,10,11]
[3,4,2,1,8,9,11,7,6,12,10,5]=>[5,6,8,12,1,2,9,3,7,11,4,10]
[3,4,2,1,8,10,11,7,12,9,6,5]=>[6,12,5,8,1,2,7,11,3,10,4,9]
[3,4,2,1,9,10,11,12,8,7,6,5]=>[5,6,7,12,11,1,2,10,3,9,4,8]
[3,5,2,6,4,1,8,7,10,9,12,11]=>[5,1,3,2,4,7,9,12,6,8,10,11]
[3,5,2,6,4,1,8,7,11,12,10,9]=>[4,1,2,9,12,3,5,7,11,6,8,10]
[3,5,2,6,4,1,9,10,8,7,12,11]=>[4,1,2,7,9,3,5,8,12,6,10,11]
[3,5,2,6,4,1,9,11,8,12,10,7]=>[2,12,1,4,7,9,3,5,8,11,6,10]
[3,5,2,6,4,1,10,11,12,9,8,7]=>[2,7,8,12,1,4,11,3,5,10,6,9]
[3,5,2,7,4,8,6,1,10,9,12,11]=>[2,7,1,5,3,4,6,9,12,8,10,11]
[3,5,2,7,4,8,6,1,11,12,10,9]=>[2,6,1,4,9,12,3,5,7,11,8,10]
[3,5,2,7,4,9,6,10,8,1,12,11]=>[2,4,9,1,7,3,5,6,8,12,10,11]
[3,5,2,7,4,9,6,11,8,12,10,1]=>[2,4,6,12,1,9,3,5,7,8,11,10]
[3,5,2,7,4,10,6,11,12,9,8,1]=>[8,2,4,6,12,1,11,3,5,7,10,9]
[3,5,2,8,4,9,10,7,6,1,12,11]=>[6,2,4,9,1,8,3,5,7,12,10,11]
[3,5,2,8,4,9,11,7,6,12,10,1]=>[6,2,4,8,12,1,9,3,5,7,11,10]
[3,5,2,8,4,10,11,7,12,9,6,1]=>[4,6,12,2,8,1,7,11,3,5,10,9]
[3,5,2,9,4,10,11,12,8,7,6,1]=>[6,4,7,12,2,11,1,10,3,5,9,8]
[3,6,2,7,8,5,4,1,10,9,12,11]=>[4,2,7,1,6,3,5,9,12,8,10,11]
[3,6,2,7,8,5,4,1,11,12,10,9]=>[4,2,6,1,5,9,12,3,7,11,8,10]
[3,6,2,7,9,5,4,10,8,1,12,11]=>[4,2,6,9,1,7,3,5,8,12,10,11]
[3,6,2,7,9,5,4,11,8,12,10,1]=>[2,12,4,6,1,5,9,3,7,8,11,10]
[3,6,2,7,10,5,4,11,12,9,8,1]=>[2,8,12,4,6,1,5,11,3,7,10,9]
[3,6,2,8,9,5,10,7,4,1,12,11]=>[2,4,9,6,1,5,8,3,7,12,10,11]
[3,6,2,8,9,5,11,7,4,12,10,1]=>[2,4,8,5,12,1,6,9,3,7,11,10]
[3,6,2,8,10,5,11,7,12,9,4,1]=>[12,2,4,8,6,1,5,7,11,3,10,9]
[3,6,2,9,10,5,11,12,8,7,4,1]=>[4,7,2,5,12,11,1,6,10,3,9,8]
[3,7,2,8,9,10,6,5,4,1,12,11]=>[4,2,5,9,8,1,7,3,6,12,10,11]
[3,7,2,8,9,11,6,5,4,12,10,1]=>[4,2,5,8,7,12,1,9,3,6,11,10]
[3,7,2,8,10,11,6,5,12,9,4,1]=>[2,7,4,5,12,8,1,6,11,3,10,9]
[3,7,2,9,10,11,6,12,8,5,4,1]=>[2,4,5,12,7,6,11,1,10,3,9,8]
[3,8,2,9,10,11,12,7,6,5,4,1]=>[4,2,5,6,12,11,10,1,9,3,8,7]
[4,5,6,3,2,1,8,7,10,9,12,11]=>[1,2,5,4,3,7,9,12,6,8,10,11]
[4,5,6,3,2,1,8,7,11,12,10,9]=>[1,2,4,3,9,12,5,7,11,6,8,10]
[4,5,6,3,2,1,9,10,8,7,12,11]=>[1,2,4,3,7,9,5,8,12,6,10,11]
[4,5,6,3,2,1,9,11,8,12,10,7]=>[1,2,3,12,4,7,9,5,8,11,6,10]
[4,5,6,3,2,1,10,11,12,9,8,7]=>[1,2,3,7,8,12,4,11,5,10,6,9]
[4,5,7,3,2,8,6,1,10,9,12,11]=>[1,2,4,7,5,3,6,9,12,8,10,11]
[4,5,7,3,2,8,6,1,11,12,10,9]=>[1,2,4,6,3,9,12,5,7,11,8,10]
[4,5,7,3,2,9,6,10,8,1,12,11]=>[9,1,2,4,3,7,5,6,8,12,10,11]
[4,5,7,3,2,9,6,11,8,12,10,1]=>[6,1,2,3,12,4,9,5,7,8,11,10]
[4,5,7,3,2,10,6,11,12,9,8,1]=>[3,8,1,2,6,12,4,11,5,7,10,9]
[4,5,8,3,2,9,10,7,6,1,12,11]=>[6,9,1,2,4,3,8,5,7,12,10,11]
[4,5,8,3,2,9,11,7,6,12,10,1]=>[6,8,1,2,3,12,4,9,5,7,11,10]
[4,5,8,3,2,10,11,7,12,9,6,1]=>[6,3,12,1,2,8,4,7,11,5,10,9]
[4,5,9,3,2,10,11,12,8,7,6,1]=>[6,7,3,12,1,2,11,4,10,5,9,8]
[4,6,7,3,8,5,2,1,10,9,12,11]=>[2,7,1,4,3,6,5,9,12,8,10,11]
[4,6,7,3,8,5,2,1,11,12,10,9]=>[2,6,1,4,3,5,9,12,7,11,8,10]
[4,6,7,3,9,5,2,10,8,1,12,11]=>[2,6,1,3,9,4,7,5,8,12,10,11]
[4,6,7,3,9,5,2,11,8,12,10,1]=>[2,3,12,1,6,4,5,9,7,8,11,10]
[4,6,7,3,10,5,2,11,12,9,8,1]=>[2,3,8,12,1,6,4,5,11,7,10,9]
[4,6,8,3,9,5,10,7,2,1,12,11]=>[9,2,6,1,4,3,5,8,7,12,10,11]
[4,6,8,3,9,5,11,7,2,12,10,1]=>[8,2,5,1,3,12,4,6,9,7,11,10]
[4,6,8,3,10,5,11,7,12,9,2,1]=>[3,12,2,8,1,6,4,5,7,11,10,9]
[4,6,9,3,10,5,11,12,8,7,2,1]=>[7,5,2,3,12,1,11,4,6,10,9,8]
[4,7,8,3,9,10,6,5,2,1,12,11]=>[2,5,3,9,1,8,4,7,6,12,10,11]
[4,7,8,3,9,11,6,5,2,12,10,1]=>[2,5,3,8,1,7,12,4,9,6,11,10]
[4,7,8,3,10,11,6,5,12,9,2,1]=>[2,3,7,5,12,1,8,4,6,11,10,9]
[4,7,9,3,10,11,6,12,8,5,2,1]=>[5,2,3,12,7,1,6,11,4,10,9,8]
[4,8,9,3,10,11,12,7,6,5,2,1]=>[2,5,3,6,12,11,1,10,4,9,8,7]
[5,6,7,8,4,3,2,1,10,9,12,11]=>[1,2,3,7,6,5,4,9,12,8,10,11]
[5,6,7,8,4,3,2,1,11,12,10,9]=>[1,2,3,6,5,4,9,12,7,11,8,10]
[5,6,7,9,4,3,2,10,8,1,12,11]=>[1,2,3,6,5,9,7,4,8,12,10,11]
[5,6,7,9,4,3,2,11,8,12,10,1]=>[1,2,3,5,12,6,4,9,7,8,11,10]
[5,6,7,10,4,3,2,11,12,9,8,1]=>[1,2,3,5,8,12,6,4,11,7,10,9]
[5,6,8,9,4,3,10,7,2,1,12,11]=>[5,1,2,3,9,6,4,8,7,12,10,11]
[5,6,8,9,4,3,11,7,2,12,10,1]=>[5,1,2,3,8,4,12,6,9,7,11,10]
[5,6,8,10,4,3,11,7,12,9,2,1]=>[3,12,1,2,5,8,6,4,7,11,10,9]
[5,6,9,10,4,3,11,12,8,7,2,1]=>[7,3,12,1,2,5,4,11,6,10,9,8]
[5,7,8,9,4,10,6,3,2,1,12,11]=>[2,3,9,1,5,4,8,7,6,12,10,11]
[5,7,8,9,4,11,6,3,2,12,10,1]=>[2,3,8,1,5,4,7,12,9,6,11,10]
[5,7,8,10,4,11,6,3,12,9,2,1]=>[2,3,7,12,1,5,4,8,6,11,10,9]
[5,7,9,10,4,11,6,12,8,3,2,1]=>[3,12,2,7,1,5,4,6,11,10,9,8]
[5,8,9,10,4,11,12,7,6,3,2,1]=>[2,3,6,4,12,1,11,5,10,9,8,7]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[1,2,3,4,9,8,7,6,5,12,10,11]
[6,7,8,9,11,5,4,3,2,12,10,1]=>[1,2,3,4,8,7,6,12,9,5,11,10]
[6,7,8,10,11,5,4,3,12,9,2,1]=>[7,1,2,3,6,4,12,8,5,11,10,9]
[6,7,9,10,11,5,4,12,8,3,2,1]=>[3,6,1,2,4,12,7,5,11,10,9,8]
[6,8,9,10,11,5,12,7,4,3,2,1]=>[2,3,4,12,1,6,5,11,10,9,8,7]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[1,2,3,4,5,12,11,10,9,8,7,6]
[11,10,9,8,7,6,5,4,3,1,12,2]=>[12,10,9,8,7,6,5,4,3,2,1,11]
[10,12,9,8,7,6,5,4,3,2,1,11]=>[1,11,10,9,8,7,6,5,4,3,12,2]
[11,12,9,10,7,8,5,6,3,4,1,2]=>[11,9,7,5,3,1,12,10,8,6,4,2]
[9,10,12,11,7,8,5,6,3,4,1,2]=>[1,2,11,9,7,5,12,10,8,6,4,3]
[11,12,7,8,10,9,5,6,3,4,1,2]=>[3,4,11,9,7,1,12,10,8,6,5,2]
[7,10,12,8,11,9,5,6,3,4,1,2]=>[4,2,11,1,9,7,12,10,8,6,5,3]
[7,8,9,12,11,10,5,6,3,4,1,2]=>[11,1,2,3,9,7,12,10,8,6,5,4]
[11,12,9,10,5,6,8,7,3,4,1,2]=>[5,6,11,9,3,1,12,10,8,7,4,2]
[9,10,12,11,5,6,8,7,3,4,1,2]=>[5,1,6,2,11,9,12,10,8,7,4,3]
[11,12,5,8,10,6,9,7,3,4,1,2]=>[6,4,11,3,9,1,12,10,8,7,5,2]
[5,10,12,8,11,6,9,7,3,4,1,2]=>[6,4,2,11,9,12,1,10,8,7,5,3]
[5,8,9,12,11,6,10,7,3,4,1,2]=>[2,3,6,11,9,12,1,10,8,7,5,4]
[11,12,5,6,7,10,9,8,3,4,1,2]=>[11,3,4,5,9,1,12,10,8,7,6,2]
[5,10,12,6,7,11,9,8,3,4,1,2]=>[11,4,5,2,9,12,1,10,8,7,6,3]
[5,6,9,12,7,11,10,8,3,4,1,2]=>[3,11,5,9,12,1,2,10,8,7,6,4]
[5,6,7,8,12,11,10,9,3,4,1,2]=>[11,9,12,1,2,3,4,10,8,7,6,5]
[11,12,9,10,7,8,3,4,6,5,1,2]=>[7,8,11,5,3,1,12,10,9,6,4,2]
[9,10,12,11,7,8,3,4,6,5,1,2]=>[7,1,8,2,11,5,12,10,9,6,4,3]
[11,12,7,8,10,9,3,4,6,5,1,2]=>[7,3,8,4,11,1,12,10,9,6,5,2]
[7,10,12,8,11,9,3,4,6,5,1,2]=>[7,8,1,4,2,11,12,10,9,6,5,3]
[7,8,9,12,11,10,3,4,6,5,1,2]=>[1,2,7,3,8,11,12,10,9,6,5,4]
[11,12,9,10,3,6,8,4,7,5,1,2]=>[8,6,11,12,5,3,1,10,9,7,4,2]
[9,10,12,11,3,6,8,4,7,5,1,2]=>[8,6,1,11,2,12,5,10,9,7,4,3]
[11,12,3,8,10,6,9,4,7,5,1,2]=>[8,6,4,11,12,10,3,1,9,7,5,2]
[3,10,12,8,11,6,9,4,7,5,1,2]=>[8,6,4,2,11,12,10,9,1,7,5,3]
[3,8,9,12,11,6,10,4,7,5,1,2]=>[2,3,8,6,11,12,10,9,1,7,5,4]
[11,12,3,6,7,10,9,4,8,5,1,2]=>[4,5,8,11,12,10,3,1,9,7,6,2]
[3,10,12,6,7,11,9,4,8,5,1,2]=>[4,5,8,2,11,12,10,9,1,7,6,3]
[3,6,9,12,7,11,10,4,8,5,1,2]=>[5,3,8,11,12,2,10,9,1,7,6,4]
[3,6,7,8,12,11,10,4,9,5,1,2]=>[8,11,12,2,3,4,10,9,1,7,6,5]
[11,12,9,10,3,4,5,8,7,6,1,2]=>[11,12,5,6,7,3,1,10,9,8,4,2]
[9,10,12,11,3,4,5,8,7,6,1,2]=>[11,12,5,1,6,2,7,10,9,8,4,3]
[11,12,3,8,10,4,5,9,7,6,1,2]=>[11,12,6,4,7,10,3,1,9,8,5,2]
[3,10,12,8,11,4,5,9,7,6,1,2]=>[11,12,6,4,2,7,10,9,1,8,5,3]
[3,8,9,12,11,4,5,10,7,6,1,2]=>[2,11,3,12,6,7,10,9,1,8,5,4]
[11,12,3,4,7,10,5,9,8,6,1,2]=>[5,11,12,7,10,3,4,1,9,8,6,2]
[3,10,12,4,7,11,5,9,8,6,1,2]=>[5,11,12,7,2,10,4,9,1,8,6,3]
[3,4,9,12,7,11,5,10,8,6,1,2]=>[5,3,11,12,7,10,9,1,2,8,6,4]
[3,4,7,8,12,11,5,10,9,6,1,2]=>[11,12,3,4,7,10,9,1,2,8,6,5]
[11,12,3,4,5,6,10,9,8,7,1,2]=>[11,12,10,3,4,5,6,1,9,8,7,2]
[3,10,12,4,5,6,11,9,8,7,1,2]=>[11,12,10,4,5,2,6,9,1,8,7,3]
[3,4,9,12,5,6,11,10,8,7,1,2]=>[11,3,12,10,5,6,9,1,2,8,7,4]
[3,4,5,8,12,6,11,10,9,7,1,2]=>[11,12,4,10,6,9,1,2,3,8,7,5]
[3,4,5,6,7,12,11,10,9,8,1,2]=>[11,12,10,9,1,2,3,4,5,8,7,6]
[11,12,9,10,7,8,5,6,1,2,4,3]=>[12,9,10,7,5,3,1,11,8,6,4,2]
[9,10,12,11,7,8,5,6,1,2,4,3]=>[1,12,9,2,10,7,5,11,8,6,4,3]
[11,12,7,8,10,9,5,6,1,2,4,3]=>[3,12,9,4,10,7,1,11,8,6,5,2]
[7,10,12,8,11,9,5,6,1,2,4,3]=>[12,9,1,4,2,10,7,11,8,6,5,3]
[7,8,9,12,11,10,5,6,1,2,4,3]=>[1,2,3,12,9,10,7,11,8,6,5,4]
[11,12,9,10,5,6,8,7,1,2,4,3]=>[5,12,9,6,10,3,1,11,8,7,4,2]
[9,10,12,11,5,6,8,7,1,2,4,3]=>[5,1,12,9,6,2,10,11,8,7,4,3]
[11,12,5,8,10,6,9,7,1,2,4,3]=>[12,9,3,6,4,10,1,11,8,7,5,2]
[5,10,12,8,11,6,9,7,1,2,4,3]=>[12,9,6,4,1,2,10,11,8,7,5,3]
[5,8,9,12,11,6,10,7,1,2,4,3]=>[2,3,12,9,1,6,10,11,8,7,5,4]
[11,12,5,6,7,10,9,8,1,2,4,3]=>[3,4,5,12,9,10,1,11,8,7,6,2]
[5,10,12,6,7,11,9,8,1,2,4,3]=>[4,5,12,9,1,2,10,11,8,7,6,3]
[5,6,9,12,7,11,10,8,1,2,4,3]=>[5,3,12,1,2,9,10,11,8,7,6,4]
[5,6,7,8,12,11,10,9,1,2,4,3]=>[12,1,2,3,4,9,10,11,8,7,6,5]
[11,12,9,10,7,8,1,4,6,2,5,3]=>[8,12,10,11,7,5,3,1,9,6,4,2]
[9,10,12,11,7,8,1,4,6,2,5,3]=>[8,1,12,10,2,11,7,5,9,6,4,3]
[11,12,7,8,10,9,1,4,6,2,5,3]=>[8,3,12,10,4,11,7,1,9,6,5,2]
[7,10,12,8,11,9,1,4,6,2,5,3]=>[8,12,1,10,4,2,11,7,9,6,5,3]
[7,8,9,12,11,10,1,4,6,2,5,3]=>[1,2,8,3,12,10,11,7,9,6,5,4]
[11,12,9,10,1,6,8,4,7,2,5,3]=>[8,6,12,10,11,9,5,3,1,7,4,2]
[9,10,12,11,1,6,8,4,7,2,5,3]=>[8,6,1,12,10,2,11,9,5,7,4,3]
[11,12,1,8,10,6,9,4,7,2,5,3]=>[8,6,4,12,10,11,9,7,3,1,5,2]
[1,10,12,8,11,6,9,4,7,2,5,3]=>[8,6,4,2,12,10,11,9,7,5,1,3]
[1,8,9,12,11,6,10,4,7,2,5,3]=>[2,3,8,6,12,10,11,9,7,5,1,4]
[11,12,1,6,7,10,9,4,8,2,5,3]=>[4,5,8,12,10,11,9,7,3,1,6,2]
[1,10,12,6,7,11,9,4,8,2,5,3]=>[4,5,8,2,12,10,11,9,7,6,1,3]
[1,6,9,12,7,11,10,4,8,2,5,3]=>[5,3,8,12,2,10,11,9,7,6,1,4]
[1,6,7,8,12,11,10,4,9,2,5,3]=>[8,12,2,3,4,10,11,9,7,6,1,5]
[11,12,9,10,1,4,5,8,7,2,6,3]=>[12,6,7,10,11,9,5,3,1,8,4,2]
[9,10,12,11,1,4,5,8,7,2,6,3]=>[12,6,7,1,10,2,11,9,5,8,4,3]
[11,12,1,8,10,4,5,9,7,2,6,3]=>[12,6,7,4,10,11,9,8,3,1,5,2]
[1,10,12,8,11,4,5,9,7,2,6,3]=>[12,6,7,4,2,10,11,9,8,5,1,3]
[1,8,9,12,11,4,5,10,7,2,6,3]=>[2,12,6,3,7,10,11,9,8,5,1,4]
[11,12,1,4,7,10,5,9,8,2,6,3]=>[5,12,7,10,11,4,9,8,3,1,6,2]
[1,10,12,4,7,11,5,9,8,2,6,3]=>[5,12,7,10,2,11,4,9,8,6,1,3]
[1,4,9,12,7,11,5,10,8,2,6,3]=>[5,3,12,7,10,11,9,2,8,6,1,4]
[1,4,7,8,12,11,5,10,9,2,6,3]=>[12,3,4,7,10,11,9,2,8,6,1,5]
[11,12,1,4,5,6,10,9,8,2,7,3]=>[12,10,11,4,5,6,9,8,3,1,7,2]
[1,10,12,4,5,6,11,9,8,2,7,3]=>[12,10,11,4,5,2,6,9,8,7,1,3]
[1,4,9,12,5,6,11,10,8,2,7,3]=>[12,10,3,11,5,6,9,2,8,7,1,4]
[1,4,5,8,12,6,11,10,9,2,7,3]=>[12,4,10,11,6,9,2,3,8,7,1,5]
[1,4,5,6,7,12,11,10,9,2,8,3]=>[12,10,11,9,2,3,4,5,8,7,1,6]
[11,12,9,10,7,8,1,2,3,6,5,4]=>[12,11,7,8,9,5,3,1,10,6,4,2]
[9,10,12,11,7,8,1,2,3,6,5,4]=>[12,11,7,1,8,2,9,5,10,6,4,3]
[11,12,7,8,10,9,1,2,3,6,5,4]=>[12,11,7,3,8,4,9,1,10,6,5,2]
[7,10,12,8,11,9,1,2,3,6,5,4]=>[12,1,11,7,8,4,2,9,10,6,5,3]
[7,8,9,12,11,10,1,2,3,6,5,4]=>[1,2,12,11,7,3,8,9,10,6,5,4]
[11,12,9,10,1,6,8,2,3,7,5,4]=>[12,11,8,6,9,10,5,3,1,7,4,2]
[9,10,12,11,1,6,8,2,3,7,5,4]=>[12,11,8,6,1,9,2,10,5,7,4,3]
[11,12,1,8,10,6,9,2,3,7,5,4]=>[12,11,8,6,4,9,10,7,3,1,5,2]
[1,10,12,8,11,6,9,2,3,7,5,4]=>[12,11,8,6,4,2,9,10,7,5,1,3]
[1,8,9,12,11,6,10,2,3,7,5,4]=>[2,3,12,11,8,6,9,10,7,5,1,4]
[11,12,1,6,7,10,9,2,3,8,5,4]=>[4,5,12,11,8,9,10,7,3,1,6,2]
[1,10,12,6,7,11,9,2,3,8,5,4]=>[4,5,12,11,8,2,9,10,7,6,1,3]
[1,6,9,12,7,11,10,2,3,8,5,4]=>[5,3,12,2,11,8,9,10,7,6,1,4]
[1,6,7,8,12,11,10,2,3,9,5,4]=>[12,2,3,4,11,8,9,10,7,6,1,5]
[11,12,9,10,1,2,5,8,3,7,6,4]=>[12,7,11,9,10,5,6,3,1,8,4,2]
[9,10,12,11,1,2,5,8,3,7,6,4]=>[12,7,11,9,1,10,5,2,6,8,4,3]
[11,12,1,8,10,2,5,9,3,7,6,4]=>[12,7,11,9,4,10,6,8,3,1,5,2]
[1,10,12,8,11,2,5,9,3,7,6,4]=>[12,7,11,9,4,2,10,6,8,5,1,3]
[1,8,9,12,11,2,5,10,3,7,6,4]=>[2,12,7,3,11,9,10,6,8,5,1,4]
[11,12,1,2,7,10,5,9,3,8,6,4]=>[5,12,7,11,9,10,8,3,4,1,6,2]
[1,10,12,2,7,11,5,9,3,8,6,4]=>[5,12,7,11,9,2,10,8,4,6,1,3]
[1,2,9,12,7,11,5,10,3,8,6,4]=>[5,3,12,7,11,9,10,8,6,1,2,4]
[1,2,7,8,12,11,5,10,3,9,6,4]=>[12,3,4,7,11,9,10,8,6,1,2,5]
[11,12,1,2,5,6,10,9,3,8,7,4]=>[12,11,5,6,9,10,8,3,4,1,7,2]
[1,10,12,2,5,6,11,9,3,8,7,4]=>[12,11,5,6,9,2,10,8,4,7,1,3]
[1,2,9,12,5,6,11,10,3,8,7,4]=>[12,11,5,3,6,9,10,8,7,1,2,4]
[1,2,5,8,12,6,11,10,3,9,7,4]=>[12,4,11,6,9,10,3,8,7,1,2,5]
[1,2,5,6,7,12,11,10,3,9,8,4]=>[12,11,9,10,3,4,5,8,7,1,2,6]
[11,12,9,10,1,2,3,4,8,7,6,5]=>[12,11,10,5,6,7,8,3,1,9,4,2]
[9,10,12,11,1,2,3,4,8,7,6,5]=>[12,11,10,5,6,1,7,2,8,9,4,3]
[11,12,1,8,10,2,3,4,9,7,6,5]=>[12,11,10,6,7,4,8,9,3,1,5,2]
[1,10,12,8,11,2,3,4,9,7,6,5]=>[12,11,10,6,7,4,2,8,9,5,1,3]
[1,8,9,12,11,2,3,4,10,7,6,5]=>[2,12,11,10,6,3,7,8,9,5,1,4]
[11,12,1,2,7,10,3,4,9,8,6,5]=>[5,12,11,10,7,8,9,3,4,1,6,2]
[1,10,12,2,7,11,3,4,9,8,6,5]=>[5,12,11,10,7,8,2,9,4,6,1,3]
[1,2,9,12,7,11,3,4,10,8,6,5]=>[5,3,12,11,10,7,8,9,6,1,2,4]
[1,2,7,8,12,11,3,4,10,9,6,5]=>[12,3,4,11,10,7,8,9,6,1,2,5]
[11,12,1,2,3,6,10,4,9,8,7,5]=>[12,11,6,10,8,9,3,4,5,1,7,2]
[1,10,12,2,3,6,11,4,9,8,7,5]=>[12,11,6,10,8,9,4,2,5,7,1,3]
[1,2,9,12,3,6,11,4,10,8,7,5]=>[12,11,6,3,10,8,9,5,7,1,2,4]
[1,2,3,8,12,6,11,4,10,9,7,5]=>[12,4,11,6,10,8,9,7,1,2,3,5]
[1,2,3,6,7,12,11,4,10,9,8,5]=>[12,11,10,4,5,8,9,7,1,2,3,6]
[11,12,1,2,3,4,5,10,9,8,7,6]=>[12,11,10,9,3,4,5,6,7,1,8,2]
[1,10,12,2,3,4,5,11,9,8,7,6]=>[12,11,10,9,4,5,6,2,7,8,1,3]
[1,2,9,12,3,4,5,11,10,8,7,6]=>[12,11,10,9,5,3,6,7,8,1,2,4]
[1,2,3,8,12,4,5,11,10,9,7,6]=>[12,4,11,10,9,6,7,8,1,2,3,5]
[1,2,3,4,7,12,5,11,10,9,8,6]=>[12,11,10,5,9,7,8,1,2,3,4,6]
[1,2,3,4,5,6,12,11,10,9,8,7]=>[12,11,10,9,8,1,2,3,4,5,6,7]
[2,1,4,3,6,5,8,7,12,11,9,10]=>[11,12,1,3,5,7,10,2,4,6,8,9]
[2,1,4,3,6,5,10,9,7,8,12,11]=>[12,9,1,3,5,8,2,4,6,7,10,11]
[2,1,4,3,6,5,12,9,7,11,8,10]=>[11,8,12,1,3,5,9,10,2,4,6,7]
[2,1,4,3,6,5,12,11,10,7,8,9]=>[10,11,12,9,1,3,5,8,2,4,6,7]
[2,1,4,3,8,7,5,6,10,9,12,11]=>[9,6,1,3,5,12,2,4,7,8,10,11]
[2,1,4,3,8,7,5,6,12,11,9,10]=>[6,5,11,12,1,3,10,2,4,7,8,9]
[2,1,4,3,10,7,5,9,6,8,12,11]=>[6,12,9,1,3,7,8,2,4,5,10,11]
[2,1,4,3,12,7,5,9,6,11,8,10]=>[6,11,8,12,1,3,7,9,10,2,4,5]
[2,1,4,3,12,7,5,11,10,6,8,9]=>[6,10,11,12,9,1,3,7,8,2,4,5]
[2,1,4,3,10,9,8,5,6,7,12,11]=>[12,8,9,7,1,3,6,2,4,5,10,11]
[2,1,4,3,12,9,8,5,6,11,7,10]=>[11,12,8,7,1,3,6,9,10,2,4,5]
[2,1,4,3,12,11,8,5,10,6,7,9]=>[10,11,7,12,8,9,1,3,6,2,4,5]
[2,1,4,3,12,11,10,9,5,6,7,8]=>[9,10,11,12,8,7,1,3,6,2,4,5]
[2,1,6,5,3,4,8,7,10,9,12,11]=>[7,4,1,3,9,12,2,5,6,8,10,11]
[2,1,6,5,3,4,8,7,12,11,9,10]=>[4,3,11,12,1,7,10,2,5,6,8,9]
[2,1,6,5,3,4,10,9,7,8,12,11]=>[3,12,4,9,1,8,2,5,6,7,10,11]
[2,1,6,5,3,4,12,9,7,11,8,10]=>[3,11,4,8,12,1,9,10,2,5,6,7]
[2,1,6,5,3,4,12,11,10,7,8,9]=>[3,10,11,12,4,9,1,8,2,5,6,7]
[2,1,8,5,3,7,4,6,10,9,12,11]=>[4,9,6,12,1,5,2,3,7,8,10,11]
[2,1,8,5,3,7,4,6,12,11,9,10]=>[4,6,11,3,12,1,10,2,5,7,8,9]
[2,1,10,5,3,7,4,9,6,8,12,11]=>[4,6,12,9,1,5,7,8,2,3,10,11]
[2,1,12,5,3,7,4,9,6,11,8,10]=>[4,6,11,8,12,1,5,7,9,10,2,3]
[2,1,12,5,3,7,4,11,10,6,8,9]=>[4,6,10,11,12,9,1,5,7,8,2,3]
[2,1,10,5,3,9,8,4,6,7,12,11]=>[12,4,8,9,7,1,5,6,2,3,10,11]
[2,1,12,5,3,9,8,4,6,11,7,10]=>[11,12,4,8,7,1,5,6,9,10,2,3]
[2,1,12,5,3,11,8,4,10,6,7,9]=>[10,11,4,7,12,8,9,1,5,6,2,3]
[2,1,12,5,3,11,10,9,4,6,7,8]=>[9,10,11,12,4,8,7,1,5,6,2,3]
[2,1,8,7,6,3,4,5,10,9,12,11]=>[9,12,6,5,1,4,2,3,7,8,10,11]
[2,1,8,7,6,3,4,5,12,11,9,10]=>[11,5,4,3,12,1,10,2,6,7,8,9]
[2,1,10,7,6,3,4,9,5,8,12,11]=>[12,9,6,5,1,4,7,8,2,3,10,11]
[2,1,12,7,6,3,4,9,5,11,8,10]=>[11,8,5,4,12,1,6,7,9,10,2,3]
[2,1,12,7,6,3,4,11,10,5,8,9]=>[10,5,4,11,12,9,1,6,7,8,2,3]
[2,1,10,9,6,3,8,4,5,7,12,11]=>[12,8,5,9,6,7,1,4,2,3,10,11]
[2,1,12,9,6,3,8,4,5,11,7,10]=>[11,5,12,8,6,7,1,4,9,10,2,3]
[2,1,12,11,6,3,8,4,10,5,7,9]=>[10,5,11,7,12,6,8,9,1,4,2,3]
[2,1,12,11,6,3,10,9,4,5,7,8]=>[9,5,10,11,12,8,6,7,1,4,2,3]
[2,1,10,9,8,7,3,4,5,6,12,11]=>[12,7,8,9,6,5,1,4,2,3,10,11]
[2,1,12,9,8,7,3,4,5,11,6,10]=>[11,12,7,8,6,5,1,4,9,10,2,3]
[2,1,12,11,8,7,3,4,10,5,6,9]=>[10,11,12,7,6,5,8,9,1,4,2,3]
[2,1,12,11,10,7,3,9,4,5,6,8]=>[9,10,11,6,12,7,8,5,1,4,2,3]
[2,1,12,11,10,9,8,3,4,5,6,7]=>[8,9,10,11,12,7,6,5,1,4,2,3]
[4,3,1,2,6,5,8,7,10,9,12,11]=>[5,2,1,7,9,12,3,4,6,8,10,11]
[4,3,1,2,6,5,8,7,12,11,9,10]=>[2,1,11,12,5,7,10,3,4,6,8,9]
[4,3,1,2,6,5,10,9,7,8,12,11]=>[1,12,2,9,5,8,3,4,6,7,10,11]
[4,3,1,2,6,5,12,9,7,11,8,10]=>[1,11,2,8,12,5,9,10,3,4,6,7]
[4,3,1,2,6,5,12,11,10,7,8,9]=>[1,10,11,12,2,9,5,8,3,4,6,7]
[4,3,1,2,8,7,5,6,10,9,12,11]=>[1,9,2,6,5,12,3,4,7,8,10,11]
[4,3,1,2,8,7,5,6,12,11,9,10]=>[1,6,2,5,11,12,10,3,4,7,8,9]
[4,3,1,2,10,7,5,9,6,8,12,11]=>[1,6,12,2,9,7,8,3,4,5,10,11]
[4,3,1,2,12,7,5,9,6,11,8,10]=>[1,6,11,2,8,12,7,9,10,3,4,5]
[4,3,1,2,12,7,5,11,10,6,8,9]=>[1,6,10,11,12,2,9,7,8,3,4,5]
[4,3,1,2,10,9,8,5,6,7,12,11]=>[12,1,8,9,2,7,6,3,4,5,10,11]
[4,3,1,2,12,9,8,5,6,11,7,10]=>[11,12,1,8,2,7,6,9,10,3,4,5]
[4,3,1,2,12,11,8,5,10,6,7,9]=>[10,11,1,7,12,2,8,9,6,3,4,5]
[4,3,1,2,12,11,10,9,5,6,7,8]=>[9,10,11,12,1,8,2,7,6,3,4,5]
[6,3,1,5,2,4,8,7,10,9,12,11]=>[2,7,4,9,1,12,3,5,6,8,10,11]
[6,3,1,5,2,4,8,7,12,11,9,10]=>[2,4,11,1,12,7,10,3,5,6,8,9]
[6,3,1,5,2,4,10,9,7,8,12,11]=>[12,2,4,1,9,8,3,5,6,7,10,11]
[6,3,1,5,2,4,12,9,7,11,8,10]=>[11,2,4,1,8,12,9,10,3,5,6,7]
[6,3,1,5,2,4,12,11,10,7,8,9]=>[10,11,1,12,2,4,9,8,3,5,6,7]
[8,3,1,5,2,7,4,6,10,9,12,11]=>[2,4,9,6,12,3,5,1,7,8,10,11]
[8,3,1,5,2,7,4,6,12,11,9,10]=>[2,4,6,11,12,10,3,1,5,7,8,9]
[10,3,1,5,2,7,4,9,6,8,12,11]=>[2,4,6,12,9,3,5,7,8,1,10,11]
[12,3,1,5,2,7,4,9,6,11,8,10]=>[2,4,6,11,8,12,3,5,7,9,10,1]
[12,3,1,5,2,7,4,11,10,6,8,9]=>[2,4,6,10,11,12,9,3,5,7,8,1]
[10,3,1,5,2,9,8,4,6,7,12,11]=>[12,2,4,8,9,7,3,5,6,1,10,11]
[12,3,1,5,2,9,8,4,6,11,7,10]=>[11,12,2,4,8,7,3,5,6,9,10,1]
[12,3,1,5,2,11,8,4,10,6,7,9]=>[10,11,2,4,7,12,8,9,3,5,6,1]
[12,3,1,5,2,11,10,9,4,6,7,8]=>[9,10,11,12,2,4,8,7,3,5,6,1]
[8,3,1,7,6,2,4,5,10,9,12,11]=>[9,12,2,6,5,3,4,1,7,8,10,11]
[8,3,1,7,6,2,4,5,12,11,9,10]=>[11,5,2,4,12,10,3,1,6,7,8,9]
[10,3,1,7,6,2,4,9,5,8,12,11]=>[12,9,2,6,5,3,4,7,8,1,10,11]
[12,3,1,7,6,2,4,9,5,11,8,10]=>[11,8,2,5,4,12,3,6,7,9,10,1]
[12,3,1,7,6,2,4,11,10,5,8,9]=>[10,5,2,4,11,12,9,3,6,7,8,1]
[10,3,1,9,6,2,8,4,5,7,12,11]=>[12,8,2,5,9,6,7,3,4,1,10,11]
[12,3,1,9,6,2,8,4,5,11,7,10]=>[11,5,12,2,8,6,7,3,4,9,10,1]
[12,3,1,11,6,2,8,4,10,5,7,9]=>[10,5,11,2,7,12,6,8,9,3,4,1]
[12,3,1,11,6,2,10,9,4,5,7,8]=>[9,5,10,11,12,2,8,6,7,3,4,1]
[10,3,1,9,8,7,2,4,5,6,12,11]=>[12,7,8,9,2,6,5,3,4,1,10,11]
[12,3,1,9,8,7,2,4,5,11,6,10]=>[11,12,7,8,2,6,5,3,4,9,10,1]
[12,3,1,11,8,7,2,4,10,5,6,9]=>[10,11,12,7,2,6,5,8,9,3,4,1]
[12,3,1,11,10,7,2,9,4,5,6,8]=>[9,10,11,6,12,2,7,8,5,3,4,1]
[12,3,1,11,10,9,8,2,4,5,6,7]=>[8,9,10,11,12,7,2,6,5,3,4,1]
[6,5,4,1,2,3,8,7,10,9,12,11]=>[7,9,3,2,1,12,4,5,6,8,10,11]
[6,5,4,1,2,3,8,7,12,11,9,10]=>[11,3,2,1,12,7,10,4,5,6,8,9]
[6,5,4,1,2,3,10,9,7,8,12,11]=>[3,2,1,12,9,8,4,5,6,7,10,11]
[6,5,4,1,2,3,12,9,7,11,8,10]=>[3,2,1,11,8,12,9,10,4,5,6,7]
[6,5,4,1,2,3,12,11,10,7,8,9]=>[3,2,1,10,11,12,9,8,4,5,6,7]
[8,5,4,1,2,7,3,6,10,9,12,11]=>[9,6,3,2,12,4,5,1,7,8,10,11]
[8,5,4,1,2,7,3,6,12,11,9,10]=>[6,3,2,11,12,10,4,1,5,7,8,9]
[10,5,4,1,2,7,3,9,6,8,12,11]=>[6,3,2,12,9,4,5,7,8,1,10,11]
[12,5,4,1,2,7,3,9,6,11,8,10]=>[6,3,2,11,8,12,4,5,7,9,10,1]
[12,5,4,1,2,7,3,11,10,6,8,9]=>[6,3,2,10,11,12,9,4,5,7,8,1]
[10,5,4,1,2,9,8,3,6,7,12,11]=>[3,2,12,8,9,7,4,5,6,1,10,11]
[12,5,4,1,2,9,8,3,6,11,7,10]=>[3,2,11,12,8,7,4,5,6,9,10,1]
[12,5,4,1,2,11,8,3,10,6,7,9]=>[3,2,10,11,7,12,8,9,4,5,6,1]
[12,5,4,1,2,11,10,9,3,6,7,8]=>[3,2,9,10,11,12,8,7,4,5,6,1]
[8,7,4,1,6,2,3,5,10,9,12,11]=>[9,3,12,6,4,5,2,1,7,8,10,11]
[8,7,4,1,6,2,3,5,12,11,9,10]=>[3,11,5,12,10,4,2,1,6,7,8,9]
[10,7,4,1,6,2,3,9,5,8,12,11]=>[3,12,9,6,4,5,2,7,8,1,10,11]
[12,7,4,1,6,2,3,9,5,11,8,10]=>[3,11,8,5,12,4,2,6,7,9,10,1]
[12,7,4,1,6,2,3,11,10,5,8,9]=>[3,10,5,11,2,12,9,4,6,7,8,1]
[10,9,4,1,6,2,8,3,5,7,12,11]=>[3,12,8,5,9,4,6,7,2,1,10,11]
[12,9,4,1,6,2,8,3,5,11,7,10]=>[3,11,5,12,8,4,6,7,2,9,10,1]
[12,11,4,1,6,2,8,3,10,5,7,9]=>[3,10,5,11,7,12,4,6,8,9,2,1]
[12,11,4,1,6,2,10,9,3,5,7,8]=>[3,9,5,10,11,12,8,4,6,7,2,1]
[10,9,4,1,8,7,2,3,5,6,12,11]=>[3,12,7,8,9,6,4,5,2,1,10,11]
[12,9,4,1,8,7,2,3,5,11,6,10]=>[3,11,12,7,8,6,4,5,2,9,10,1]
[12,11,4,1,8,7,2,3,10,5,6,9]=>[3,10,11,12,7,6,4,5,8,9,2,1]
[12,11,4,1,10,7,2,9,3,5,6,8]=>[3,9,10,11,6,12,7,8,4,5,2,1]
[12,11,4,1,10,9,8,2,3,5,6,7]=>[3,8,9,10,11,12,7,6,4,5,2,1]
[8,7,6,5,1,2,3,4,10,9,12,11]=>[9,12,5,6,4,3,2,1,7,8,10,11]
[8,7,6,5,1,2,3,4,12,11,9,10]=>[11,12,10,5,4,3,2,1,6,7,8,9]
[10,7,6,5,1,2,3,9,4,8,12,11]=>[12,9,5,6,4,3,2,7,8,1,10,11]
[12,7,6,5,1,2,3,9,4,11,8,10]=>[11,8,12,5,4,3,2,6,7,9,10,1]
[12,7,6,5,1,2,3,11,10,4,8,9]=>[10,11,4,3,2,12,9,5,6,7,8,1]
[10,9,6,5,1,2,8,3,4,7,12,11]=>[12,8,9,5,4,3,6,7,2,1,10,11]
[12,9,6,5,1,2,8,3,4,11,7,10]=>[11,12,8,5,4,3,6,7,2,9,10,1]
[12,11,6,5,1,2,8,3,10,4,7,9]=>[10,11,7,4,3,12,5,6,8,9,2,1]
[12,11,6,5,1,2,10,9,3,4,7,8]=>[9,10,4,3,11,12,8,5,6,7,2,1]
[10,9,8,5,1,7,2,3,4,6,12,11]=>[12,7,8,4,9,5,6,3,2,1,10,11]
[12,9,8,5,1,7,2,3,4,11,6,10]=>[11,12,7,4,8,5,6,3,2,9,10,1]
[12,11,8,5,1,7,2,3,10,4,6,9]=>[10,11,4,12,7,5,6,3,8,9,2,1]
[12,11,10,5,1,7,2,9,3,4,6,8]=>[9,10,4,11,6,12,5,7,8,3,2,1]
[12,11,10,5,1,9,8,2,3,4,6,7]=>[8,9,4,10,11,12,7,5,6,3,2,1]
[10,9,8,7,6,1,2,3,4,5,12,11]=>[12,6,7,8,9,5,4,3,2,1,10,11]
[12,9,8,7,6,1,2,3,4,11,5,10]=>[11,12,6,7,8,5,4,3,2,9,10,1]
[12,11,8,7,6,1,2,3,10,4,5,9]=>[10,11,12,6,7,5,4,3,8,9,2,1]
[12,11,10,7,6,1,2,9,3,4,5,8]=>[9,10,11,12,6,5,4,7,8,3,2,1]
[12,11,10,9,6,1,8,2,3,4,5,7]=>[8,9,10,11,5,12,6,7,4,3,2,1]
[12,11,10,9,8,7,1,2,3,4,5,6]=>[7,8,9,10,11,12,6,5,4,3,2,1]
[10,12,9,11,7,8,5,6,3,4,1,2]=>[1,11,9,7,5,3,12,10,8,6,4,2]
[11,12,8,10,7,9,5,6,3,4,1,2]=>[3,11,9,7,5,1,12,10,8,6,4,2]
[10,12,8,11,7,9,5,6,3,4,1,2]=>[3,1,11,9,7,5,12,10,8,6,4,2]
[9,12,8,11,7,10,5,6,3,4,1,2]=>[1,3,11,9,7,5,12,10,8,6,4,2]
[11,12,9,10,6,8,5,7,3,4,1,2]=>[5,11,9,7,3,1,12,10,8,6,4,2]
[10,12,9,11,6,8,5,7,3,4,1,2]=>[5,1,11,9,7,3,12,10,8,6,4,2]
[11,12,8,10,6,9,5,7,3,4,1,2]=>[5,3,11,9,7,1,12,10,8,6,4,2]
[10,12,8,11,6,9,5,7,3,4,1,2]=>[5,3,1,11,9,7,12,10,8,6,4,2]
[9,12,8,11,6,10,5,7,3,4,1,2]=>[1,5,3,11,9,7,12,10,8,6,4,2]
[11,12,7,10,6,9,5,8,3,4,1,2]=>[3,5,11,9,7,1,12,10,8,6,4,2]
[10,12,7,11,6,9,5,8,3,4,1,2]=>[3,5,1,11,9,7,12,10,8,6,4,2]
[9,12,7,11,6,10,5,8,3,4,1,2]=>[3,1,5,11,9,7,12,10,8,6,4,2]
[8,12,7,11,6,10,5,9,3,4,1,2]=>[1,3,5,11,9,7,12,10,8,6,4,2]
[11,12,9,10,7,8,4,6,3,5,1,2]=>[7,11,9,5,3,1,12,10,8,6,4,2]
[10,12,9,11,7,8,4,6,3,5,1,2]=>[7,1,11,9,5,3,12,10,8,6,4,2]
[11,12,8,10,7,9,4,6,3,5,1,2]=>[7,3,11,9,5,1,12,10,8,6,4,2]
[10,12,8,11,7,9,4,6,3,5,1,2]=>[7,3,1,11,9,5,12,10,8,6,4,2]
[9,12,8,11,7,10,4,6,3,5,1,2]=>[1,7,3,11,9,5,12,10,8,6,4,2]
[11,12,9,10,6,8,4,7,3,5,1,2]=>[7,5,11,9,3,1,12,10,8,6,4,2]
[10,12,9,11,6,8,4,7,3,5,1,2]=>[7,5,1,11,9,3,12,10,8,6,4,2]
[11,12,8,10,6,9,4,7,3,5,1,2]=>[7,5,3,11,9,1,12,10,8,6,4,2]
[10,12,8,11,6,9,4,7,3,5,1,2]=>[7,5,3,1,11,9,12,10,8,6,4,2]
[9,12,8,11,6,10,4,7,3,5,1,2]=>[1,7,5,3,11,9,12,10,8,6,4,2]
[11,12,7,10,6,9,4,8,3,5,1,2]=>[3,7,5,11,9,1,12,10,8,6,4,2]
[10,12,7,11,6,9,4,8,3,5,1,2]=>[3,7,5,1,11,9,12,10,8,6,4,2]
[9,12,7,11,6,10,4,8,3,5,1,2]=>[3,1,7,5,11,9,12,10,8,6,4,2]
[8,12,7,11,6,10,4,9,3,5,1,2]=>[1,3,7,5,11,9,12,10,8,6,4,2]
[11,12,9,10,5,8,4,7,3,6,1,2]=>[5,7,11,9,3,1,12,10,8,6,4,2]
[10,12,9,11,5,8,4,7,3,6,1,2]=>[5,7,1,11,9,3,12,10,8,6,4,2]
[11,12,8,10,5,9,4,7,3,6,1,2]=>[5,7,3,11,9,1,12,10,8,6,4,2]
[10,12,8,11,5,9,4,7,3,6,1,2]=>[5,7,3,1,11,9,12,10,8,6,4,2]
[9,12,8,11,5,10,4,7,3,6,1,2]=>[5,1,7,3,11,9,12,10,8,6,4,2]
[11,12,7,10,5,9,4,8,3,6,1,2]=>[5,3,7,11,9,1,12,10,8,6,4,2]
[10,12,7,11,5,9,4,8,3,6,1,2]=>[5,3,7,1,11,9,12,10,8,6,4,2]
[9,12,7,11,5,10,4,8,3,6,1,2]=>[5,3,1,7,11,9,12,10,8,6,4,2]
[8,12,7,11,5,10,4,9,3,6,1,2]=>[1,5,3,7,11,9,12,10,8,6,4,2]
[11,12,6,10,5,9,4,8,3,7,1,2]=>[3,5,7,11,9,1,12,10,8,6,4,2]
[10,12,6,11,5,9,4,8,3,7,1,2]=>[3,5,7,1,11,9,12,10,8,6,4,2]
[9,12,6,11,5,10,4,8,3,7,1,2]=>[3,5,1,7,11,9,12,10,8,6,4,2]
[8,12,6,11,5,10,4,9,3,7,1,2]=>[3,1,5,7,11,9,12,10,8,6,4,2]
[7,12,6,11,5,10,4,9,3,8,1,2]=>[1,3,5,7,11,9,12,10,8,6,4,2]
[11,12,9,10,7,8,5,6,2,4,1,3]=>[9,11,7,5,3,1,12,10,8,6,4,2]
[10,12,9,11,7,8,5,6,2,4,1,3]=>[9,1,11,7,5,3,12,10,8,6,4,2]
[11,12,8,10,7,9,5,6,2,4,1,3]=>[9,3,11,7,5,1,12,10,8,6,4,2]
[10,12,8,11,7,9,5,6,2,4,1,3]=>[9,3,1,11,7,5,12,10,8,6,4,2]
[9,12,8,11,7,10,5,6,2,4,1,3]=>[1,9,3,11,7,5,12,10,8,6,4,2]
[11,12,9,10,6,8,5,7,2,4,1,3]=>[9,5,11,7,3,1,12,10,8,6,4,2]
[10,12,9,11,6,8,5,7,2,4,1,3]=>[9,5,1,11,7,3,12,10,8,6,4,2]
[11,12,8,10,6,9,5,7,2,4,1,3]=>[9,5,3,11,7,1,12,10,8,6,4,2]
[10,12,8,11,6,9,5,7,2,4,1,3]=>[9,5,3,1,11,7,12,10,8,6,4,2]
[9,12,8,11,6,10,5,7,2,4,1,3]=>[1,9,5,3,11,7,12,10,8,6,4,2]
[11,12,7,10,6,9,5,8,2,4,1,3]=>[3,9,5,11,7,1,12,10,8,6,4,2]
[10,12,7,11,6,9,5,8,2,4,1,3]=>[3,9,5,1,11,7,12,10,8,6,4,2]
[9,12,7,11,6,10,5,8,2,4,1,3]=>[3,1,9,5,11,7,12,10,8,6,4,2]
[8,12,7,11,6,10,5,9,2,4,1,3]=>[1,3,9,5,11,7,12,10,8,6,4,2]
[11,12,9,10,7,8,4,6,2,5,1,3]=>[9,7,11,5,3,1,12,10,8,6,4,2]
[10,12,9,11,7,8,4,6,2,5,1,3]=>[9,7,1,11,5,3,12,10,8,6,4,2]
[11,12,8,10,7,9,4,6,2,5,1,3]=>[9,7,3,11,5,1,12,10,8,6,4,2]
[10,12,8,11,7,9,4,6,2,5,1,3]=>[9,7,3,1,11,5,12,10,8,6,4,2]
[9,12,8,11,7,10,4,6,2,5,1,3]=>[1,9,7,3,11,5,12,10,8,6,4,2]
[11,12,9,10,6,8,4,7,2,5,1,3]=>[9,7,5,11,3,1,12,10,8,6,4,2]
[10,12,9,11,6,8,4,7,2,5,1,3]=>[9,7,5,1,11,3,12,10,8,6,4,2]
[11,12,8,10,6,9,4,7,2,5,1,3]=>[9,7,5,3,11,1,12,10,8,6,4,2]
[10,12,8,11,6,9,4,7,2,5,1,3]=>[9,7,5,3,1,11,12,10,8,6,4,2]
[9,12,8,11,6,10,4,7,2,5,1,3]=>[1,9,7,5,3,11,12,10,8,6,4,2]
[11,12,7,10,6,9,4,8,2,5,1,3]=>[3,9,7,5,11,1,12,10,8,6,4,2]
[10,12,7,11,6,9,4,8,2,5,1,3]=>[3,9,7,5,1,11,12,10,8,6,4,2]
[9,12,7,11,6,10,4,8,2,5,1,3]=>[3,1,9,7,5,11,12,10,8,6,4,2]
[8,12,7,11,6,10,4,9,2,5,1,3]=>[1,3,9,7,5,11,12,10,8,6,4,2]
[11,12,9,10,5,8,4,7,2,6,1,3]=>[5,9,7,11,3,1,12,10,8,6,4,2]
[10,12,9,11,5,8,4,7,2,6,1,3]=>[5,9,7,1,11,3,12,10,8,6,4,2]
[11,12,8,10,5,9,4,7,2,6,1,3]=>[5,9,7,3,11,1,12,10,8,6,4,2]
[10,12,8,11,5,9,4,7,2,6,1,3]=>[5,9,7,3,1,11,12,10,8,6,4,2]
[9,12,8,11,5,10,4,7,2,6,1,3]=>[5,1,9,7,3,11,12,10,8,6,4,2]
[11,12,7,10,5,9,4,8,2,6,1,3]=>[5,3,9,7,11,1,12,10,8,6,4,2]
[10,12,7,11,5,9,4,8,2,6,1,3]=>[5,3,9,7,1,11,12,10,8,6,4,2]
[9,12,7,11,5,10,4,8,2,6,1,3]=>[5,3,1,9,7,11,12,10,8,6,4,2]
[8,12,7,11,5,10,4,9,2,6,1,3]=>[1,5,3,9,7,11,12,10,8,6,4,2]
[11,12,6,10,5,9,4,8,2,7,1,3]=>[3,5,9,7,11,1,12,10,8,6,4,2]
[10,12,6,11,5,9,4,8,2,7,1,3]=>[3,5,9,7,1,11,12,10,8,6,4,2]
[9,12,6,11,5,10,4,8,2,7,1,3]=>[3,5,1,9,7,11,12,10,8,6,4,2]
[8,12,6,11,5,10,4,9,2,7,1,3]=>[3,1,5,9,7,11,12,10,8,6,4,2]
[7,12,6,11,5,10,4,9,2,8,1,3]=>[1,3,5,9,7,11,12,10,8,6,4,2]
[11,12,9,10,7,8,3,6,2,5,1,4]=>[7,9,11,5,3,1,12,10,8,6,4,2]
[10,12,9,11,7,8,3,6,2,5,1,4]=>[7,9,1,11,5,3,12,10,8,6,4,2]
[11,12,8,10,7,9,3,6,2,5,1,4]=>[7,9,3,11,5,1,12,10,8,6,4,2]
[10,12,8,11,7,9,3,6,2,5,1,4]=>[7,9,3,1,11,5,12,10,8,6,4,2]
[9,12,8,11,7,10,3,6,2,5,1,4]=>[7,1,9,3,11,5,12,10,8,6,4,2]
[11,12,9,10,6,8,3,7,2,5,1,4]=>[7,9,5,11,3,1,12,10,8,6,4,2]
[10,12,9,11,6,8,3,7,2,5,1,4]=>[7,9,5,1,11,3,12,10,8,6,4,2]
[11,12,8,10,6,9,3,7,2,5,1,4]=>[7,9,5,3,11,1,12,10,8,6,4,2]
[10,12,8,11,6,9,3,7,2,5,1,4]=>[7,9,5,3,1,11,12,10,8,6,4,2]
[9,12,8,11,6,10,3,7,2,5,1,4]=>[7,1,9,5,3,11,12,10,8,6,4,2]
[11,12,7,10,6,9,3,8,2,5,1,4]=>[7,3,9,5,11,1,12,10,8,6,4,2]
[10,12,7,11,6,9,3,8,2,5,1,4]=>[7,3,9,5,1,11,12,10,8,6,4,2]
[9,12,7,11,6,10,3,8,2,5,1,4]=>[7,3,1,9,5,11,12,10,8,6,4,2]
[8,12,7,11,6,10,3,9,2,5,1,4]=>[1,7,3,9,5,11,12,10,8,6,4,2]
[11,12,9,10,5,8,3,7,2,6,1,4]=>[7,5,9,11,3,1,12,10,8,6,4,2]
[10,12,9,11,5,8,3,7,2,6,1,4]=>[7,5,9,1,11,3,12,10,8,6,4,2]
[11,12,8,10,5,9,3,7,2,6,1,4]=>[7,5,9,3,11,1,12,10,8,6,4,2]
[10,12,8,11,5,9,3,7,2,6,1,4]=>[7,5,9,3,1,11,12,10,8,6,4,2]
[9,12,8,11,5,10,3,7,2,6,1,4]=>[7,5,1,9,3,11,12,10,8,6,4,2]
[11,12,7,10,5,9,3,8,2,6,1,4]=>[7,5,3,9,11,1,12,10,8,6,4,2]
[10,12,7,11,5,9,3,8,2,6,1,4]=>[7,5,3,9,1,11,12,10,8,6,4,2]
[9,12,7,11,5,10,3,8,2,6,1,4]=>[7,5,3,1,9,11,12,10,8,6,4,2]
[8,12,7,11,5,10,3,9,2,6,1,4]=>[1,7,5,3,9,11,12,10,8,6,4,2]
[11,12,6,10,5,9,3,8,2,7,1,4]=>[3,7,5,9,11,1,12,10,8,6,4,2]
[10,12,6,11,5,9,3,8,2,7,1,4]=>[3,7,5,9,1,11,12,10,8,6,4,2]
[9,12,6,11,5,10,3,8,2,7,1,4]=>[3,7,5,1,9,11,12,10,8,6,4,2]
[8,12,6,11,5,10,3,9,2,7,1,4]=>[3,1,7,5,9,11,12,10,8,6,4,2]
[7,12,6,11,5,10,3,9,2,8,1,4]=>[1,3,7,5,9,11,12,10,8,6,4,2]
[11,12,9,10,4,8,3,7,2,6,1,5]=>[5,7,9,11,3,1,12,10,8,6,4,2]
[10,12,9,11,4,8,3,7,2,6,1,5]=>[5,7,9,1,11,3,12,10,8,6,4,2]
[11,12,8,10,4,9,3,7,2,6,1,5]=>[5,7,9,3,11,1,12,10,8,6,4,2]
[10,12,8,11,4,9,3,7,2,6,1,5]=>[5,7,9,3,1,11,12,10,8,6,4,2]
[9,12,8,11,4,10,3,7,2,6,1,5]=>[5,7,1,9,3,11,12,10,8,6,4,2]
[11,12,7,10,4,9,3,8,2,6,1,5]=>[5,7,3,9,11,1,12,10,8,6,4,2]
[10,12,7,11,4,9,3,8,2,6,1,5]=>[5,7,3,9,1,11,12,10,8,6,4,2]
[9,12,7,11,4,10,3,8,2,6,1,5]=>[5,7,3,1,9,11,12,10,8,6,4,2]
[8,12,7,11,4,10,3,9,2,6,1,5]=>[5,1,7,3,9,11,12,10,8,6,4,2]
[11,12,6,10,4,9,3,8,2,7,1,5]=>[5,3,7,9,11,1,12,10,8,6,4,2]
[10,12,6,11,4,9,3,8,2,7,1,5]=>[5,3,7,9,1,11,12,10,8,6,4,2]
[9,12,6,11,4,10,3,8,2,7,1,5]=>[5,3,7,1,9,11,12,10,8,6,4,2]
[8,12,6,11,4,10,3,9,2,7,1,5]=>[5,3,1,7,9,11,12,10,8,6,4,2]
[7,12,6,11,4,10,3,9,2,8,1,5]=>[1,5,3,7,9,11,12,10,8,6,4,2]
[11,12,5,10,4,9,3,8,2,7,1,6]=>[3,5,7,9,11,1,12,10,8,6,4,2]
[10,12,5,11,4,9,3,8,2,7,1,6]=>[3,5,7,9,1,11,12,10,8,6,4,2]
[9,12,5,11,4,10,3,8,2,7,1,6]=>[3,5,7,1,9,11,12,10,8,6,4,2]
[8,12,5,11,4,10,3,9,2,7,1,6]=>[3,5,1,7,9,11,12,10,8,6,4,2]
[7,12,5,11,4,10,3,9,2,8,1,6]=>[3,1,5,7,9,11,12,10,8,6,4,2]
[6,12,5,11,4,10,3,9,2,8,1,7]=>[1,3,5,7,9,11,12,10,8,6,4,2]
[11,9,7,5,3,1,12,10,8,6,4,2]=>[12,4,3,11,10,5,2,9,8,6,1,7]
[10,9,7,5,3,1,12,11,8,6,4,2]=>[12,4,3,11,10,5,2,1,9,8,6,7]
[11,8,7,5,3,1,12,10,9,6,4,2]=>[12,4,3,2,11,10,5,9,8,6,1,7]
[10,8,7,5,3,1,12,11,9,6,4,2]=>[12,4,3,2,11,10,5,1,9,8,6,7]
[9,8,7,5,3,1,12,11,10,6,4,2]=>[12,4,3,2,1,11,10,5,9,8,6,7]
[11,9,6,5,3,1,12,10,8,7,4,2]=>[3,12,4,11,10,5,2,9,8,6,1,7]
[10,9,6,5,3,1,12,11,8,7,4,2]=>[3,12,4,11,10,5,2,1,9,8,6,7]
[11,8,6,5,3,1,12,10,9,7,4,2]=>[3,12,4,2,11,10,5,9,8,6,1,7]
[10,8,6,5,3,1,12,11,9,7,4,2]=>[3,12,4,2,11,10,5,1,9,8,6,7]
[9,8,6,5,3,1,12,11,10,7,4,2]=>[3,12,4,2,1,11,10,5,9,8,6,7]
[11,7,6,5,3,1,12,10,9,8,4,2]=>[3,2,12,4,11,10,5,9,8,6,1,7]
[10,7,6,5,3,1,12,11,9,8,4,2]=>[3,2,12,4,11,10,5,1,9,8,6,7]
[9,7,6,5,3,1,12,11,10,8,4,2]=>[3,2,12,4,1,11,10,5,9,8,6,7]
[8,7,6,5,3,1,12,11,10,9,4,2]=>[3,2,1,12,4,11,10,5,9,8,6,7]
[11,9,7,4,3,1,12,10,8,6,5,2]=>[12,11,4,3,10,5,2,9,8,6,1,7]
[10,9,7,4,3,1,12,11,8,6,5,2]=>[12,11,4,3,10,5,2,1,9,8,6,7]
[11,8,7,4,3,1,12,10,9,6,5,2]=>[12,11,4,3,2,10,5,9,8,6,1,7]
[10,8,7,4,3,1,12,11,9,6,5,2]=>[12,11,4,3,2,10,5,1,9,8,6,7]
[9,8,7,4,3,1,12,11,10,6,5,2]=>[12,11,4,3,2,1,10,5,9,8,6,7]
[11,9,6,4,3,1,12,10,8,7,5,2]=>[3,12,11,4,10,5,2,9,8,6,1,7]
[10,9,6,4,3,1,12,11,8,7,5,2]=>[3,12,11,4,10,5,2,1,9,8,6,7]
[11,8,6,4,3,1,12,10,9,7,5,2]=>[3,12,11,4,2,10,5,9,8,6,1,7]
[10,8,6,4,3,1,12,11,9,7,5,2]=>[3,12,11,4,2,10,5,1,9,8,6,7]
[9,8,6,4,3,1,12,11,10,7,5,2]=>[3,12,11,4,2,1,10,5,9,8,6,7]
[11,7,6,4,3,1,12,10,9,8,5,2]=>[3,2,12,11,4,10,5,9,8,6,1,7]
[10,7,6,4,3,1,12,11,9,8,5,2]=>[3,2,12,11,4,10,5,1,9,8,6,7]
[9,7,6,4,3,1,12,11,10,8,5,2]=>[3,2,12,11,4,1,10,5,9,8,6,7]
[8,7,6,4,3,1,12,11,10,9,5,2]=>[3,2,1,12,11,4,10,5,9,8,6,7]
[11,9,5,4,3,1,12,10,8,7,6,2]=>[12,3,11,4,10,5,2,9,8,6,1,7]
[10,9,5,4,3,1,12,11,8,7,6,2]=>[12,3,11,4,10,5,2,1,9,8,6,7]
[11,8,5,4,3,1,12,10,9,7,6,2]=>[12,3,11,4,2,10,5,9,8,6,1,7]
[10,8,5,4,3,1,12,11,9,7,6,2]=>[12,3,11,4,2,10,5,1,9,8,6,7]
[9,8,5,4,3,1,12,11,10,7,6,2]=>[12,3,11,4,2,1,10,5,9,8,6,7]
[11,7,5,4,3,1,12,10,9,8,6,2]=>[12,3,2,11,4,10,5,9,8,6,1,7]
[10,7,5,4,3,1,12,11,9,8,6,2]=>[12,3,2,11,4,10,5,1,9,8,6,7]
[9,7,5,4,3,1,12,11,10,8,6,2]=>[12,3,2,11,4,1,10,5,9,8,6,7]
[8,7,5,4,3,1,12,11,10,9,6,2]=>[12,3,2,1,11,4,10,5,9,8,6,7]
[11,6,5,4,3,1,12,10,9,8,7,2]=>[2,12,3,11,4,10,5,9,8,6,1,7]
[10,6,5,4,3,1,12,11,9,8,7,2]=>[2,12,3,11,4,10,5,1,9,8,6,7]
[9,6,5,4,3,1,12,11,10,8,7,2]=>[2,12,3,11,4,1,10,5,9,8,6,7]
[8,6,5,4,3,1,12,11,10,9,7,2]=>[2,12,3,1,11,4,10,5,9,8,6,7]
[7,6,5,4,3,1,12,11,10,9,8,2]=>[2,1,12,3,11,4,10,5,9,8,6,7]
[11,9,7,5,2,1,12,10,8,6,4,3]=>[12,4,3,11,10,9,5,2,8,6,1,7]
[10,9,7,5,2,1,12,11,8,6,4,3]=>[12,4,3,11,10,9,5,2,1,8,6,7]
[11,8,7,5,2,1,12,10,9,6,4,3]=>[12,4,3,2,11,10,9,5,8,6,1,7]
[10,8,7,5,2,1,12,11,9,6,4,3]=>[12,4,3,2,11,10,9,5,1,8,6,7]
[9,8,7,5,2,1,12,11,10,6,4,3]=>[12,4,3,2,1,11,10,9,5,8,6,7]
[11,9,6,5,2,1,12,10,8,7,4,3]=>[3,12,4,11,10,9,5,2,8,6,1,7]
[10,9,6,5,2,1,12,11,8,7,4,3]=>[3,12,4,11,10,9,5,2,1,8,6,7]
[11,8,6,5,2,1,12,10,9,7,4,3]=>[3,12,4,2,11,10,9,5,8,6,1,7]
[10,8,6,5,2,1,12,11,9,7,4,3]=>[3,12,4,2,11,10,9,5,1,8,6,7]
[9,8,6,5,2,1,12,11,10,7,4,3]=>[3,12,4,2,1,11,10,9,5,8,6,7]
[11,7,6,5,2,1,12,10,9,8,4,3]=>[3,2,12,4,11,10,9,5,8,6,1,7]
[10,7,6,5,2,1,12,11,9,8,4,3]=>[3,2,12,4,11,10,9,5,1,8,6,7]
[9,7,6,5,2,1,12,11,10,8,4,3]=>[3,2,12,4,1,11,10,9,5,8,6,7]
[8,7,6,5,2,1,12,11,10,9,4,3]=>[3,2,1,12,4,11,10,9,5,8,6,7]
[11,9,7,4,2,1,12,10,8,6,5,3]=>[12,11,4,3,10,9,5,2,8,6,1,7]
[10,9,7,4,2,1,12,11,8,6,5,3]=>[12,11,4,3,10,9,5,2,1,8,6,7]
[11,8,7,4,2,1,12,10,9,6,5,3]=>[12,11,4,3,2,10,9,5,8,6,1,7]
[10,8,7,4,2,1,12,11,9,6,5,3]=>[12,11,4,3,2,10,9,5,1,8,6,7]
[9,8,7,4,2,1,12,11,10,6,5,3]=>[12,11,4,3,2,1,10,9,5,8,6,7]
[11,9,6,4,2,1,12,10,8,7,5,3]=>[3,12,11,4,10,9,5,2,8,6,1,7]
[10,9,6,4,2,1,12,11,8,7,5,3]=>[3,12,11,4,10,9,5,2,1,8,6,7]
[11,8,6,4,2,1,12,10,9,7,5,3]=>[3,12,11,4,2,10,9,5,8,6,1,7]
[10,8,6,4,2,1,12,11,9,7,5,3]=>[3,12,11,4,2,10,9,5,1,8,6,7]
[9,8,6,4,2,1,12,11,10,7,5,3]=>[3,12,11,4,2,1,10,9,5,8,6,7]
[11,7,6,4,2,1,12,10,9,8,5,3]=>[3,2,12,11,4,10,9,5,8,6,1,7]
[10,7,6,4,2,1,12,11,9,8,5,3]=>[3,2,12,11,4,10,9,5,1,8,6,7]
[9,7,6,4,2,1,12,11,10,8,5,3]=>[3,2,12,11,4,1,10,9,5,8,6,7]
[8,7,6,4,2,1,12,11,10,9,5,3]=>[3,2,1,12,11,4,10,9,5,8,6,7]
[11,9,5,4,2,1,12,10,8,7,6,3]=>[12,3,11,4,10,9,5,2,8,6,1,7]
[10,9,5,4,2,1,12,11,8,7,6,3]=>[12,3,11,4,10,9,5,2,1,8,6,7]
[11,8,5,4,2,1,12,10,9,7,6,3]=>[12,3,11,4,2,10,9,5,8,6,1,7]
[10,8,5,4,2,1,12,11,9,7,6,3]=>[12,3,11,4,2,10,9,5,1,8,6,7]
[9,8,5,4,2,1,12,11,10,7,6,3]=>[12,3,11,4,2,1,10,9,5,8,6,7]
[11,7,5,4,2,1,12,10,9,8,6,3]=>[12,3,2,11,4,10,9,5,8,6,1,7]
[10,7,5,4,2,1,12,11,9,8,6,3]=>[12,3,2,11,4,10,9,5,1,8,6,7]
[9,7,5,4,2,1,12,11,10,8,6,3]=>[12,3,2,11,4,1,10,9,5,8,6,7]
[8,7,5,4,2,1,12,11,10,9,6,3]=>[12,3,2,1,11,4,10,9,5,8,6,7]
[11,6,5,4,2,1,12,10,9,8,7,3]=>[2,12,3,11,4,10,9,5,8,6,1,7]
[10,6,5,4,2,1,12,11,9,8,7,3]=>[2,12,3,11,4,10,9,5,1,8,6,7]
[9,6,5,4,2,1,12,11,10,8,7,3]=>[2,12,3,11,4,1,10,9,5,8,6,7]
[8,6,5,4,2,1,12,11,10,9,7,3]=>[2,12,3,1,11,4,10,9,5,8,6,7]
[7,6,5,4,2,1,12,11,10,9,8,3]=>[2,1,12,3,11,4,10,9,5,8,6,7]
[11,9,7,3,2,1,12,10,8,6,5,4]=>[12,11,10,4,3,9,5,2,8,6,1,7]
[10,9,7,3,2,1,12,11,8,6,5,4]=>[12,11,10,4,3,9,5,2,1,8,6,7]
[11,8,7,3,2,1,12,10,9,6,5,4]=>[12,11,10,4,3,2,9,5,8,6,1,7]
[10,8,7,3,2,1,12,11,9,6,5,4]=>[12,11,10,4,3,2,9,5,1,8,6,7]
[9,8,7,3,2,1,12,11,10,6,5,4]=>[12,11,10,4,3,2,1,9,5,8,6,7]
[11,9,6,3,2,1,12,10,8,7,5,4]=>[3,12,11,10,4,9,5,2,8,6,1,7]
[10,9,6,3,2,1,12,11,8,7,5,4]=>[3,12,11,10,4,9,5,2,1,8,6,7]
[11,8,6,3,2,1,12,10,9,7,5,4]=>[3,12,11,10,4,2,9,5,8,6,1,7]
[10,8,6,3,2,1,12,11,9,7,5,4]=>[3,12,11,10,4,2,9,5,1,8,6,7]
[9,8,6,3,2,1,12,11,10,7,5,4]=>[3,12,11,10,4,2,1,9,5,8,6,7]
[11,7,6,3,2,1,12,10,9,8,5,4]=>[3,2,12,11,10,4,9,5,8,6,1,7]
[10,7,6,3,2,1,12,11,9,8,5,4]=>[3,2,12,11,10,4,9,5,1,8,6,7]
[9,7,6,3,2,1,12,11,10,8,5,4]=>[3,2,12,11,10,4,1,9,5,8,6,7]
[8,7,6,3,2,1,12,11,10,9,5,4]=>[3,2,1,12,11,10,4,9,5,8,6,7]
[11,9,5,3,2,1,12,10,8,7,6,4]=>[12,3,11,10,4,9,5,2,8,6,1,7]
[10,9,5,3,2,1,12,11,8,7,6,4]=>[12,3,11,10,4,9,5,2,1,8,6,7]
[11,8,5,3,2,1,12,10,9,7,6,4]=>[12,3,11,10,4,2,9,5,8,6,1,7]
[10,8,5,3,2,1,12,11,9,7,6,4]=>[12,3,11,10,4,2,9,5,1,8,6,7]
[9,8,5,3,2,1,12,11,10,7,6,4]=>[12,3,11,10,4,2,1,9,5,8,6,7]
[11,7,5,3,2,1,12,10,9,8,6,4]=>[12,3,2,11,10,4,9,5,8,6,1,7]
[10,7,5,3,2,1,12,11,9,8,6,4]=>[12,3,2,11,10,4,9,5,1,8,6,7]
[9,7,5,3,2,1,12,11,10,8,6,4]=>[12,3,2,11,10,4,1,9,5,8,6,7]
[8,7,5,3,2,1,12,11,10,9,6,4]=>[12,3,2,1,11,10,4,9,5,8,6,7]
[11,6,5,3,2,1,12,10,9,8,7,4]=>[2,12,3,11,10,4,9,5,8,6,1,7]
[10,6,5,3,2,1,12,11,9,8,7,4]=>[2,12,3,11,10,4,9,5,1,8,6,7]
[9,6,5,3,2,1,12,11,10,8,7,4]=>[2,12,3,11,10,4,1,9,5,8,6,7]
[8,6,5,3,2,1,12,11,10,9,7,4]=>[2,12,3,1,11,10,4,9,5,8,6,7]
[7,6,5,3,2,1,12,11,10,9,8,4]=>[2,1,12,3,11,10,4,9,5,8,6,7]
[11,9,4,3,2,1,12,10,8,7,6,5]=>[12,11,3,10,4,9,5,2,8,6,1,7]
[10,9,4,3,2,1,12,11,8,7,6,5]=>[12,11,3,10,4,9,5,2,1,8,6,7]
[11,8,4,3,2,1,12,10,9,7,6,5]=>[12,11,3,10,4,2,9,5,8,6,1,7]
[10,8,4,3,2,1,12,11,9,7,6,5]=>[12,11,3,10,4,2,9,5,1,8,6,7]
[9,8,4,3,2,1,12,11,10,7,6,5]=>[12,11,3,10,4,2,1,9,5,8,6,7]
[11,7,4,3,2,1,12,10,9,8,6,5]=>[12,11,3,2,10,4,9,5,8,6,1,7]
[10,7,4,3,2,1,12,11,9,8,6,5]=>[12,11,3,2,10,4,9,5,1,8,6,7]
[9,7,4,3,2,1,12,11,10,8,6,5]=>[12,11,3,2,10,4,1,9,5,8,6,7]
[8,7,4,3,2,1,12,11,10,9,6,5]=>[12,11,3,2,1,10,4,9,5,8,6,7]
[11,6,4,3,2,1,12,10,9,8,7,5]=>[2,12,11,3,10,4,9,5,8,6,1,7]
[10,6,4,3,2,1,12,11,9,8,7,5]=>[2,12,11,3,10,4,9,5,1,8,6,7]
[9,6,4,3,2,1,12,11,10,8,7,5]=>[2,12,11,3,10,4,1,9,5,8,6,7]
[8,6,4,3,2,1,12,11,10,9,7,5]=>[2,12,11,3,1,10,4,9,5,8,6,7]
[7,6,4,3,2,1,12,11,10,9,8,5]=>[2,1,12,11,3,10,4,9,5,8,6,7]
[11,5,4,3,2,1,12,10,9,8,7,6]=>[12,2,11,3,10,4,9,5,8,6,1,7]
[10,5,4,3,2,1,12,11,9,8,7,6]=>[12,2,11,3,10,4,9,5,1,8,6,7]
[9,5,4,3,2,1,12,11,10,8,7,6]=>[12,2,11,3,10,4,1,9,5,8,6,7]
[8,5,4,3,2,1,12,11,10,9,7,6]=>[12,2,11,3,1,10,4,9,5,8,6,7]
[7,5,4,3,2,1,12,11,10,9,8,6]=>[12,2,1,11,3,10,4,9,5,8,6,7]
[7,1,8,2,9,3,10,4,11,5,12,6]=>[12,10,8,6,4,2,1,3,5,7,9,11]
[7,1,8,2,9,3,10,4,11,12,5,6]=>[11,9,7,5,3,1,12,2,4,6,8,10]
[7,1,8,2,9,3,10,11,4,5,12,6]=>[12,9,7,5,3,1,10,2,4,6,8,11]
[7,1,8,2,9,3,10,11,4,12,5,6]=>[11,7,5,3,1,12,9,2,4,6,8,10]
[7,1,8,2,9,3,10,11,12,4,5,6]=>[10,7,5,3,1,11,8,12,2,4,6,9]
[7,1,8,2,9,10,3,4,11,5,12,6]=>[12,10,7,5,3,1,8,2,4,6,9,11]
[7,1,8,2,9,10,3,4,11,12,5,6]=>[11,9,5,3,1,12,7,2,4,6,8,10]
[7,1,8,2,9,10,3,11,4,5,12,6]=>[12,9,5,3,1,10,7,2,4,6,8,11]
[7,1,8,2,9,10,3,11,4,12,5,6]=>[11,5,3,1,12,9,7,2,4,6,8,10]
[7,1,8,2,9,10,3,11,12,4,5,6]=>[10,5,3,1,11,8,6,12,2,4,7,9]
[7,1,8,2,9,10,11,3,4,5,12,6]=>[12,8,5,3,1,9,6,10,2,4,7,11]
[7,1,8,2,9,10,11,3,4,12,5,6]=>[11,5,3,1,12,8,6,9,2,4,7,10]
[7,1,8,2,9,10,11,3,12,4,5,6]=>[10,5,3,1,11,6,12,8,2,4,7,9]
[7,1,8,2,9,10,11,12,3,4,5,6]=>[9,5,3,1,10,6,11,7,12,2,4,8]
[7,1,8,9,2,3,10,4,11,5,12,6]=>[12,10,8,5,3,1,6,2,4,7,9,11]
[7,1,8,9,2,3,10,4,11,12,5,6]=>[11,9,7,3,1,12,5,2,4,6,8,10]
[7,1,8,9,2,3,10,11,4,5,12,6]=>[12,9,7,3,1,10,5,2,4,6,8,11]
[7,1,8,9,2,3,10,11,4,12,5,6]=>[11,7,3,1,12,9,5,2,4,6,8,10]
[7,1,8,9,2,3,10,11,12,4,5,6]=>[10,7,3,1,11,8,4,12,2,5,6,9]
[7,1,8,9,2,10,3,4,11,5,12,6]=>[12,10,7,3,1,8,5,2,4,6,9,11]
[7,1,8,9,2,10,3,4,11,12,5,6]=>[11,9,3,1,12,7,5,2,4,6,8,10]
[7,1,8,9,2,10,3,11,4,5,12,6]=>[12,9,3,1,10,7,5,2,4,6,8,11]
[7,1,8,9,2,10,3,11,4,12,5,6]=>[11,3,1,12,9,7,5,2,4,6,8,10]
[7,1,8,9,2,10,3,11,12,4,5,6]=>[10,3,1,11,8,6,4,12,2,5,7,9]
[7,1,8,9,2,10,11,3,4,5,12,6]=>[12,8,3,1,9,6,4,10,2,5,7,11]
[7,1,8,9,2,10,11,3,4,12,5,6]=>[11,3,1,12,8,6,4,9,2,5,7,10]
[7,1,8,9,2,10,11,3,12,4,5,6]=>[10,3,1,11,6,4,12,8,2,5,7,9]
[7,1,8,9,2,10,11,12,3,4,5,6]=>[9,3,1,10,6,4,11,7,12,2,5,8]
[7,1,8,9,10,2,3,4,11,5,12,6]=>[12,10,6,3,1,7,4,8,2,5,9,11]
[7,1,8,9,10,2,3,4,11,12,5,6]=>[11,9,3,1,12,6,4,7,2,5,8,10]
[7,1,8,9,10,2,3,11,4,5,12,6]=>[12,9,3,1,10,6,4,7,2,5,8,11]
[7,1,8,9,10,2,3,11,4,12,5,6]=>[11,3,1,12,9,6,4,7,2,5,8,10]
[7,1,8,9,10,2,3,11,12,4,5,6]=>[10,3,1,11,8,4,12,6,2,5,7,9]
[7,1,8,9,10,2,11,3,4,5,12,6]=>[12,8,3,1,9,4,10,6,2,5,7,11]
[7,1,8,9,10,2,11,3,4,12,5,6]=>[11,3,1,12,8,4,9,6,2,5,7,10]
[7,1,8,9,10,2,11,3,12,4,5,6]=>[10,3,1,11,4,12,8,6,2,5,7,9]
[7,1,8,9,10,2,11,12,3,4,5,6]=>[9,3,1,10,4,11,7,5,12,2,6,8]
[7,1,8,9,10,11,2,3,4,5,12,6]=>[12,7,3,1,8,4,9,5,10,2,6,11]
[7,1,8,9,10,11,2,3,4,12,5,6]=>[11,3,1,12,7,4,8,5,9,2,6,10]
[7,1,8,9,10,11,2,3,12,4,5,6]=>[10,3,1,11,4,12,7,5,8,2,6,9]
[7,1,8,9,10,11,2,12,3,4,5,6]=>[9,3,1,10,4,11,5,12,7,2,6,8]
[7,1,8,9,10,11,12,2,3,4,5,6]=>[8,3,1,9,4,10,5,11,6,12,2,7]
[7,8,1,2,9,3,10,4,11,5,12,6]=>[12,10,8,6,3,1,4,2,5,7,9,11]
[7,8,1,2,9,3,10,4,11,12,5,6]=>[11,9,7,5,1,12,3,2,4,6,8,10]
[7,8,1,2,9,3,10,11,4,5,12,6]=>[12,9,7,5,1,10,3,2,4,6,8,11]
[7,8,1,2,9,3,10,11,4,12,5,6]=>[11,7,5,1,12,9,3,2,4,6,8,10]
[7,8,1,2,9,3,10,11,12,4,5,6]=>[10,7,5,1,11,8,2,12,3,4,6,9]
[7,8,1,2,9,10,3,4,11,5,12,6]=>[12,10,7,5,1,8,3,2,4,6,9,11]
[7,8,1,2,9,10,3,4,11,12,5,6]=>[11,9,5,1,12,7,3,2,4,6,8,10]
[7,8,1,2,9,10,3,11,4,5,12,6]=>[12,9,5,1,10,7,3,2,4,6,8,11]
[7,8,1,2,9,10,3,11,4,12,5,6]=>[11,5,1,12,9,7,3,2,4,6,8,10]
[7,8,1,2,9,10,3,11,12,4,5,6]=>[10,5,1,11,8,6,2,12,3,4,7,9]
[7,8,1,2,9,10,11,3,4,5,12,6]=>[12,8,5,1,9,6,2,10,3,4,7,11]
[7,8,1,2,9,10,11,3,4,12,5,6]=>[11,5,1,12,8,6,2,9,3,4,7,10]
[7,8,1,2,9,10,11,3,12,4,5,6]=>[10,5,1,11,6,2,12,8,3,4,7,9]
[7,8,1,2,9,10,11,12,3,4,5,6]=>[9,5,1,10,6,2,11,7,12,3,4,8]
[7,8,1,9,2,3,10,4,11,5,12,6]=>[12,10,8,5,1,6,3,2,4,7,9,11]
[7,8,1,9,2,3,10,4,11,12,5,6]=>[11,9,7,1,12,5,3,2,4,6,8,10]
[7,8,1,9,2,3,10,11,4,5,12,6]=>[12,9,7,1,10,5,3,2,4,6,8,11]
[7,8,1,9,2,3,10,11,4,12,5,6]=>[11,7,1,12,9,5,3,2,4,6,8,10]
[7,8,1,9,2,3,10,11,12,4,5,6]=>[10,7,1,11,8,4,2,12,3,5,6,9]
[7,8,1,9,2,10,3,4,11,5,12,6]=>[12,10,7,1,8,5,3,2,4,6,9,11]
[7,8,1,9,2,10,3,4,11,12,5,6]=>[11,9,1,12,7,5,3,2,4,6,8,10]
[7,8,1,9,2,10,3,11,4,5,12,6]=>[12,9,1,10,7,5,3,2,4,6,8,11]
[7,8,1,9,2,10,3,11,4,12,5,6]=>[11,1,12,9,7,5,3,2,4,6,8,10]
[7,8,1,9,2,10,3,11,12,4,5,6]=>[10,1,11,8,6,4,2,12,3,5,7,9]
[7,8,1,9,2,10,11,3,4,5,12,6]=>[12,8,1,9,6,4,2,10,3,5,7,11]
[7,8,1,9,2,10,11,3,4,12,5,6]=>[11,1,12,8,6,4,2,9,3,5,7,10]
[7,8,1,9,2,10,11,3,12,4,5,6]=>[10,1,11,6,4,2,12,8,3,5,7,9]
[7,8,1,9,2,10,11,12,3,4,5,6]=>[9,1,10,6,4,2,11,7,12,3,5,8]
[7,8,1,9,10,2,3,4,11,5,12,6]=>[12,10,6,1,7,4,2,8,3,5,9,11]
[7,8,1,9,10,2,3,4,11,12,5,6]=>[11,9,1,12,6,4,2,7,3,5,8,10]
[7,8,1,9,10,2,3,11,4,5,12,6]=>[12,9,1,10,6,4,2,7,3,5,8,11]
[7,8,1,9,10,2,3,11,4,12,5,6]=>[11,1,12,9,6,4,2,7,3,5,8,10]
[7,8,1,9,10,2,3,11,12,4,5,6]=>[10,1,11,8,4,2,12,6,3,5,7,9]
[7,8,1,9,10,2,11,3,4,5,12,6]=>[12,8,1,9,4,2,10,6,3,5,7,11]
[7,8,1,9,10,2,11,3,4,12,5,6]=>[11,1,12,8,4,2,9,6,3,5,7,10]
[7,8,1,9,10,2,11,3,12,4,5,6]=>[10,1,11,4,2,12,8,6,3,5,7,9]
[7,8,1,9,10,2,11,12,3,4,5,6]=>[9,1,10,4,2,11,7,5,12,3,6,8]
[7,8,1,9,10,11,2,3,4,5,12,6]=>[12,7,1,8,4,2,9,5,10,3,6,11]
[7,8,1,9,10,11,2,3,4,12,5,6]=>[11,1,12,7,4,2,8,5,9,3,6,10]
[7,8,1,9,10,11,2,3,12,4,5,6]=>[10,1,11,4,2,12,7,5,8,3,6,9]
[7,8,1,9,10,11,2,12,3,4,5,6]=>[9,1,10,4,2,11,5,12,7,3,6,8]
[7,8,1,9,10,11,12,2,3,4,5,6]=>[8,1,9,4,2,10,5,11,6,12,3,7]
[7,8,9,1,2,3,10,4,11,5,12,6]=>[12,10,8,4,1,5,2,6,3,7,9,11]
[7,8,9,1,2,3,10,4,11,12,5,6]=>[11,9,7,1,12,4,2,5,3,6,8,10]
[7,8,9,1,2,3,10,11,4,5,12,6]=>[12,9,7,1,10,4,2,5,3,6,8,11]
[7,8,9,1,2,3,10,11,4,12,5,6]=>[11,7,1,12,9,4,2,5,3,6,8,10]
[7,8,9,1,2,3,10,11,12,4,5,6]=>[10,7,1,11,8,2,12,4,3,5,6,9]
[7,8,9,1,2,10,3,4,11,5,12,6]=>[12,10,7,1,8,4,2,5,3,6,9,11]
[7,8,9,1,2,10,3,4,11,12,5,6]=>[11,9,1,12,7,4,2,5,3,6,8,10]
[7,8,9,1,2,10,3,11,4,5,12,6]=>[12,9,1,10,7,4,2,5,3,6,8,11]
[7,8,9,1,2,10,3,11,4,12,5,6]=>[11,1,12,9,7,4,2,5,3,6,8,10]
[7,8,9,1,2,10,3,11,12,4,5,6]=>[10,1,11,8,6,2,12,4,3,5,7,9]
[7,8,9,1,2,10,11,3,4,5,12,6]=>[12,8,1,9,6,2,10,4,3,5,7,11]
[7,8,9,1,2,10,11,3,4,12,5,6]=>[11,1,12,8,6,2,9,4,3,5,7,10]
[7,8,9,1,2,10,11,3,12,4,5,6]=>[10,1,11,6,2,12,8,4,3,5,7,9]
[7,8,9,1,2,10,11,12,3,4,5,6]=>[9,1,10,6,2,11,7,3,12,4,5,8]
[7,8,9,1,10,2,3,4,11,5,12,6]=>[12,10,6,1,7,2,8,4,3,5,9,11]
[7,8,9,1,10,2,3,4,11,12,5,6]=>[11,9,1,12,6,2,7,4,3,5,8,10]
[7,8,9,1,10,2,3,11,4,5,12,6]=>[12,9,1,10,6,2,7,4,3,5,8,11]
[7,8,9,1,10,2,3,11,4,12,5,6]=>[11,1,12,9,6,2,7,4,3,5,8,10]
[7,8,9,1,10,2,3,11,12,4,5,6]=>[10,1,11,8,2,12,6,4,3,5,7,9]
[7,8,9,1,10,2,11,3,4,5,12,6]=>[12,8,1,9,2,10,6,4,3,5,7,11]
[7,8,9,1,10,2,11,3,4,12,5,6]=>[11,1,12,8,2,9,6,4,3,5,7,10]
[7,8,9,1,10,2,11,3,12,4,5,6]=>[10,1,11,2,12,8,6,4,3,5,7,9]
[7,8,9,1,10,2,11,12,3,4,5,6]=>[9,1,10,2,11,7,5,3,12,4,6,8]
[7,8,9,1,10,11,2,3,4,5,12,6]=>[12,7,1,8,2,9,5,3,10,4,6,11]
[7,8,9,1,10,11,2,3,4,12,5,6]=>[11,1,12,7,2,8,5,3,9,4,6,10]
[7,8,9,1,10,11,2,3,12,4,5,6]=>[10,1,11,2,12,7,5,3,8,4,6,9]
[7,8,9,1,10,11,2,12,3,4,5,6]=>[9,1,10,2,11,5,3,12,7,4,6,8]
[7,8,9,1,10,11,12,2,3,4,5,6]=>[8,1,9,2,10,5,3,11,6,12,4,7]
[7,8,9,10,1,2,3,4,11,5,12,6]=>[12,10,5,1,6,2,7,3,8,4,9,11]
[7,8,9,10,1,2,3,4,11,12,5,6]=>[11,9,1,12,5,2,6,3,7,4,8,10]
[7,8,9,10,1,2,3,11,4,5,12,6]=>[12,9,1,10,5,2,6,3,7,4,8,11]
[7,8,9,10,1,2,3,11,4,12,5,6]=>[11,1,12,9,5,2,6,3,7,4,8,10]
[7,8,9,10,1,2,3,11,12,4,5,6]=>[10,1,11,8,2,12,5,3,6,4,7,9]
[7,8,9,10,1,2,11,3,4,5,12,6]=>[12,8,1,9,2,10,5,3,6,4,7,11]
[7,8,9,10,1,2,11,3,4,12,5,6]=>[11,1,12,8,2,9,5,3,6,4,7,10]
[7,8,9,10,1,2,11,3,12,4,5,6]=>[10,1,11,2,12,8,5,3,6,4,7,9]
[7,8,9,10,1,2,11,12,3,4,5,6]=>[9,1,10,2,11,7,3,12,5,4,6,8]
[7,8,9,10,1,11,2,3,4,5,12,6]=>[12,7,1,8,2,9,3,10,5,4,6,11]
[7,8,9,10,1,11,2,3,4,12,5,6]=>[11,1,12,7,2,8,3,9,5,4,6,10]
[7,8,9,10,1,11,2,3,12,4,5,6]=>[10,1,11,2,12,7,3,8,5,4,6,9]
[7,8,9,10,1,11,2,12,3,4,5,6]=>[9,1,10,2,11,3,12,7,5,4,6,8]
[7,8,9,10,1,11,12,2,3,4,5,6]=>[8,1,9,2,10,3,11,6,4,12,5,7]
[7,8,9,10,11,1,2,3,4,5,12,6]=>[12,6,1,7,2,8,3,9,4,10,5,11]
[7,8,9,10,11,1,2,3,4,12,5,6]=>[11,1,12,6,2,7,3,8,4,9,5,10]
[7,8,9,10,11,1,2,3,12,4,5,6]=>[10,1,11,2,12,6,3,7,4,8,5,9]
[7,8,9,10,11,1,2,12,3,4,5,6]=>[9,1,10,2,11,3,12,6,4,7,5,8]
[7,8,9,10,11,1,12,2,3,4,5,6]=>[8,1,9,2,10,3,11,4,12,6,5,7]
[9,10,11,12,7,8,5,6,3,4,1,2]=>[1,2,11,9,7,5,3,12,10,8,6,4]
[11,12,7,8,9,10,5,6,3,4,1,2]=>[3,4,11,9,7,5,1,12,10,8,6,2]
[7,10,11,8,9,12,5,6,3,4,1,2]=>[4,2,11,1,9,7,5,3,12,10,8,6]
[7,8,9,10,11,12,5,6,3,4,1,2]=>[1,2,3,4,11,9,7,5,12,10,8,6]
[11,12,9,10,5,6,7,8,3,4,1,2]=>[5,6,11,9,7,3,1,12,10,8,4,2]
[9,10,11,12,5,6,7,8,3,4,1,2]=>[5,1,6,2,11,9,7,3,12,10,8,4]
[11,12,5,8,9,6,7,10,3,4,1,2]=>[6,4,11,3,9,7,5,1,12,10,8,2]
[5,10,11,8,9,6,7,12,3,4,1,2]=>[6,4,2,11,9,1,7,5,3,12,10,8]
[5,8,9,10,11,6,7,12,3,4,1,2]=>[2,3,6,4,11,1,9,7,5,12,10,8]
[11,12,5,6,7,8,9,10,3,4,1,2]=>[3,4,5,6,11,9,7,1,12,10,8,2]
[5,10,11,6,7,8,9,12,3,4,1,2]=>[4,5,6,2,11,1,9,7,3,12,10,8]
[5,6,9,10,7,8,11,12,3,4,1,2]=>[5,3,6,1,2,4,11,9,7,12,10,8]
[5,6,7,8,9,10,11,12,3,4,1,2]=>[1,2,3,4,5,6,11,9,7,12,10,8]
[11,12,9,10,7,8,3,4,5,6,1,2]=>[7,8,11,9,5,3,1,12,10,6,4,2]
[9,10,11,12,7,8,3,4,5,6,1,2]=>[7,1,8,2,11,9,5,3,12,10,6,4]
[11,12,7,8,9,10,3,4,5,6,1,2]=>[7,3,8,4,11,9,5,1,12,10,6,2]
[7,10,11,8,9,12,3,4,5,6,1,2]=>[7,8,1,4,2,11,9,5,3,12,10,6]
[7,8,9,10,11,12,3,4,5,6,1,2]=>[1,2,7,3,8,4,11,9,5,12,10,6]
[11,12,9,10,3,6,7,4,5,8,1,2]=>[8,6,11,5,9,7,3,1,12,10,4,2]
[9,10,11,12,3,6,7,4,5,8,1,2]=>[8,6,1,11,5,2,9,7,3,12,10,4]
[11,12,3,8,9,6,7,4,5,10,1,2]=>[8,6,4,11,9,3,7,5,1,12,10,2]
[3,10,11,8,9,6,7,4,5,12,1,2]=>[8,6,4,2,11,9,7,1,5,3,12,10]
[3,8,9,10,11,6,7,4,5,12,1,2]=>[2,3,8,6,4,11,9,1,7,5,12,10]
[11,12,3,6,7,8,9,4,5,10,1,2]=>[4,5,8,6,11,3,9,7,1,12,10,2]
[3,10,11,6,7,8,9,4,5,12,1,2]=>[4,5,8,6,2,11,9,1,7,3,12,10]
[3,6,9,10,7,8,11,4,5,12,1,2]=>[5,3,8,2,6,4,11,1,9,7,12,10]
[3,6,7,8,9,10,11,4,5,12,1,2]=>[2,3,4,5,8,6,11,1,9,7,12,10]
[11,12,9,10,3,4,5,6,7,8,1,2]=>[5,6,7,8,11,9,3,1,12,10,4,2]
[9,10,11,12,3,4,5,6,7,8,1,2]=>[5,6,7,1,8,2,11,9,3,12,10,4]
[11,12,3,8,9,4,5,6,7,10,1,2]=>[6,7,8,4,11,3,9,5,1,12,10,2]
[3,10,11,8,9,4,5,6,7,12,1,2]=>[6,7,8,4,2,11,9,1,5,3,12,10]
[3,8,9,10,11,4,5,6,7,12,1,2]=>[6,2,7,3,8,4,11,1,9,5,12,10]
[11,12,3,4,7,8,5,6,9,10,1,2]=>[7,5,8,3,4,6,11,9,1,12,10,2]
[3,10,11,4,7,8,5,6,9,12,1,2]=>[7,5,8,4,6,2,11,1,9,3,12,10]
[3,4,9,10,7,8,5,6,11,12,1,2]=>[7,5,3,8,6,1,2,4,11,9,12,10]
[3,4,7,8,9,10,5,6,11,12,1,2]=>[3,4,7,5,8,1,2,6,11,9,12,10]
[11,12,3,4,5,6,7,8,9,10,1,2]=>[3,4,5,6,7,8,11,9,1,12,10,2]
[3,10,11,4,5,6,7,8,9,12,1,2]=>[4,5,6,7,8,2,11,1,9,3,12,10]
[3,4,9,10,5,6,7,8,11,12,1,2]=>[5,6,7,3,8,1,2,4,11,9,12,10]
[3,4,5,8,9,6,7,10,11,12,1,2]=>[6,4,7,1,2,3,5,8,11,9,12,10]
[3,4,5,6,7,8,9,10,11,12,1,2]=>[1,2,3,4,5,6,7,8,11,9,12,10]
[11,12,9,10,7,8,5,6,1,2,3,4]=>[9,10,11,7,5,3,1,12,8,6,4,2]
[9,10,11,12,7,8,5,6,1,2,3,4]=>[9,1,10,2,11,7,5,3,12,8,6,4]
[11,12,7,8,9,10,5,6,1,2,3,4]=>[9,3,10,4,11,7,5,1,12,8,6,2]
[7,10,11,8,9,12,5,6,1,2,3,4]=>[9,10,1,4,2,11,7,5,3,12,8,6]
[7,8,9,10,11,12,5,6,1,2,3,4]=>[1,2,9,3,10,4,11,7,5,12,8,6]
[11,12,9,10,5,6,7,8,1,2,3,4]=>[9,5,10,6,11,7,3,1,12,8,4,2]
[9,10,11,12,5,6,7,8,1,2,3,4]=>[9,5,1,10,6,2,11,7,3,12,8,4]
[11,12,5,8,9,6,7,10,1,2,3,4]=>[9,10,3,6,4,11,7,5,1,12,8,2]
[5,10,11,8,9,6,7,12,1,2,3,4]=>[9,10,6,4,1,2,11,7,5,3,12,8]
[5,8,9,10,11,6,7,12,1,2,3,4]=>[2,9,3,10,1,6,4,11,7,5,12,8]
[11,12,5,6,7,8,9,10,1,2,3,4]=>[3,4,9,5,10,6,11,7,1,12,8,2]
[5,10,11,6,7,8,9,12,1,2,3,4]=>[4,9,5,10,1,6,2,11,7,3,12,8]
[5,6,9,10,7,8,11,12,1,2,3,4]=>[9,5,1,2,3,10,6,4,11,7,12,8]
[5,6,7,8,9,10,11,12,1,2,3,4]=>[1,2,3,4,9,5,10,6,11,7,12,8]
[11,12,9,10,7,8,1,4,5,2,3,6]=>[10,8,11,7,9,5,3,1,12,6,4,2]
[9,10,11,12,7,8,1,4,5,2,3,6]=>[10,8,1,11,7,2,9,5,3,12,6,4]
[11,12,7,8,9,10,1,4,5,2,3,6]=>[10,8,3,11,7,4,9,5,1,12,6,2]
[7,10,11,8,9,12,1,4,5,2,3,6]=>[10,1,8,11,7,4,2,9,5,3,12,6]
[7,8,9,10,11,12,1,4,5,2,3,6]=>[1,2,10,8,3,11,7,4,9,5,12,6]
[11,12,9,10,1,6,7,4,5,2,3,8]=>[10,8,6,11,9,5,7,3,1,12,4,2]
[9,10,11,12,1,6,7,4,5,2,3,8]=>[10,8,6,1,11,9,5,2,7,3,12,4]
[11,12,1,8,9,6,7,4,5,2,3,10]=>[10,8,6,4,11,9,7,3,5,1,12,2]
[1,10,11,8,9,6,7,4,5,2,3,12]=>[10,8,6,4,2,11,9,7,5,1,3,12]
[1,8,9,10,11,6,7,4,5,2,3,12]=>[2,3,10,8,6,4,11,9,7,1,5,12]
[11,12,1,6,7,8,9,4,5,2,3,10]=>[4,5,10,8,6,11,9,3,7,1,12,2]
[1,10,11,6,7,8,9,4,5,2,3,12]=>[4,5,10,8,6,2,11,9,7,1,3,12]
[1,6,9,10,7,8,11,4,5,2,3,12]=>[5,3,10,2,8,6,4,11,9,1,7,12]
[1,6,7,8,9,10,11,4,5,2,3,12]=>[2,3,4,5,10,8,6,11,9,1,7,12]
[11,12,9,10,1,4,5,6,7,2,3,8]=>[6,7,10,8,11,5,9,3,1,12,4,2]
[9,10,11,12,1,4,5,6,7,2,3,8]=>[6,7,10,8,1,11,5,2,9,3,12,4]
[11,12,1,8,9,4,5,6,7,2,3,10]=>[6,7,10,8,4,11,9,3,5,1,12,2]
[1,10,11,8,9,4,5,6,7,2,3,12]=>[6,7,10,8,4,2,11,9,5,1,3,12]
[1,8,9,10,11,4,5,6,7,2,3,12]=>[6,2,7,3,10,8,4,11,9,1,5,12]
[11,12,1,4,7,8,5,6,9,2,3,10]=>[7,5,10,4,8,6,11,3,9,1,12,2]
[1,10,11,4,7,8,5,6,9,2,3,12]=>[7,5,10,4,8,6,2,11,9,1,3,12]
[1,4,9,10,7,8,5,6,11,2,3,12]=>[7,5,3,10,8,2,6,4,11,1,9,12]
[1,4,7,8,9,10,5,6,11,2,3,12]=>[3,4,7,5,10,2,8,6,11,1,9,12]
[11,12,1,4,5,6,7,8,9,2,3,10]=>[4,5,6,7,10,8,11,3,9,1,12,2]
[1,10,11,4,5,6,7,8,9,2,3,12]=>[4,5,6,7,10,8,2,11,9,1,3,12]
[1,4,9,10,5,6,7,8,11,2,3,12]=>[5,6,7,3,10,2,8,4,11,1,9,12]
[1,4,5,8,9,6,7,10,11,2,3,12]=>[6,4,7,2,3,5,10,8,11,1,9,12]
[1,4,5,6,7,8,9,10,11,2,3,12]=>[2,3,4,5,6,7,10,8,11,1,9,12]
[11,12,9,10,7,8,1,2,3,4,5,6]=>[7,8,9,10,11,5,3,1,12,6,4,2]
[9,10,11,12,7,8,1,2,3,4,5,6]=>[7,8,9,1,10,2,11,5,3,12,6,4]
[11,12,7,8,9,10,1,2,3,4,5,6]=>[7,8,9,3,10,4,11,5,1,12,6,2]
[7,10,11,8,9,12,1,2,3,4,5,6]=>[7,1,8,9,10,4,2,11,5,3,12,6]
[11,12,9,10,1,6,7,2,3,4,5,8]=>[8,9,10,6,11,5,7,3,1,12,4,2]
[9,10,11,12,1,6,7,2,3,4,5,8]=>[8,9,10,6,1,11,5,2,7,3,12,4]
[11,12,1,8,9,6,7,2,3,4,5,10]=>[8,9,10,6,4,11,7,3,5,1,12,2]
[1,10,11,8,9,6,7,2,3,4,5,12]=>[8,9,10,6,4,2,11,7,5,1,3,12]
[1,8,9,10,11,6,7,2,3,4,5,12]=>[8,2,9,3,10,6,4,11,7,1,5,12]
[11,12,1,6,7,8,9,2,3,4,5,10]=>[8,4,9,5,10,6,11,3,7,1,12,2]
[1,10,11,6,7,8,9,2,3,4,5,12]=>[8,4,9,5,10,6,2,11,7,1,3,12]
[1,6,9,10,7,8,11,2,3,4,5,12]=>[8,9,2,5,3,10,6,4,11,1,7,12]
[1,6,7,8,9,10,11,2,3,4,5,12]=>[2,3,8,4,9,5,10,6,11,1,7,12]
[11,12,9,10,1,2,5,6,3,4,7,8]=>[9,7,10,5,6,8,11,3,1,12,4,2]
[9,10,11,12,1,2,5,6,3,4,7,8]=>[9,7,10,5,6,1,8,2,11,3,12,4]
[11,12,1,8,9,2,5,6,3,4,7,10]=>[9,7,10,6,8,4,11,3,5,1,12,2]
[1,10,11,8,9,2,5,6,3,4,7,12]=>[9,7,10,6,8,4,2,11,5,1,3,12]
[1,8,9,10,11,2,5,6,3,4,7,12]=>[9,7,2,10,6,3,8,4,11,1,5,12]
[11,12,1,2,7,8,5,6,3,4,9,10]=>[9,7,5,10,8,3,4,6,11,1,12,2]
[1,10,11,2,7,8,5,6,3,4,9,12]=>[9,7,5,10,8,4,6,2,11,1,3,12]
[1,2,9,10,7,8,5,6,3,4,11,12]=>[9,7,5,3,10,8,6,1,2,4,11,12]
[1,2,7,8,9,10,5,6,3,4,11,12]=>[3,4,9,7,5,10,8,1,2,6,11,12]
[11,12,1,2,5,6,7,8,3,4,9,10]=>[5,6,9,7,10,3,4,8,11,1,12,2]
[1,10,11,2,5,6,7,8,3,4,9,12]=>[5,6,9,7,10,4,8,2,11,1,3,12]
[1,2,9,10,5,6,7,8,3,4,11,12]=>[5,6,9,7,3,10,8,1,2,4,11,12]
[1,2,5,8,9,6,7,10,3,4,11,12]=>[6,4,9,3,7,5,10,1,2,8,11,12]
[1,2,5,6,7,8,9,10,3,4,11,12]=>[3,4,5,6,9,7,10,1,2,8,11,12]
[11,12,9,10,1,2,3,4,5,6,7,8]=>[5,6,7,8,9,10,11,3,1,12,4,2]
[9,10,11,12,1,2,3,4,5,6,7,8]=>[5,6,7,8,9,1,10,2,11,3,12,4]
[11,12,1,8,9,2,3,4,5,6,7,10]=>[6,7,8,9,10,4,11,3,5,1,12,2]
[1,10,11,8,9,2,3,4,5,6,7,12]=>[6,7,8,9,10,4,2,11,5,1,3,12]
[1,8,9,10,11,2,3,4,5,6,7,12]=>[6,7,8,2,9,3,10,4,11,1,5,12]
[11,12,1,2,7,8,3,4,5,6,9,10]=>[7,8,9,5,10,3,4,6,11,1,12,2]
[1,10,11,2,7,8,3,4,5,6,9,12]=>[7,8,9,5,10,4,6,2,11,1,3,12]
[1,2,9,10,7,8,3,4,5,6,11,12]=>[7,8,9,5,3,10,6,1,2,4,11,12]
[1,2,7,8,9,10,3,4,5,6,11,12]=>[7,3,8,4,9,5,10,1,2,6,11,12]
[11,12,1,2,3,6,7,4,5,8,9,10]=>[8,6,9,3,4,5,7,10,11,1,12,2]
[1,10,11,2,3,6,7,4,5,8,9,12]=>[8,6,9,4,5,7,10,2,11,1,3,12]
[1,2,9,10,3,6,7,4,5,8,11,12]=>[8,6,9,5,7,3,10,1,2,4,11,12]
[1,2,3,8,9,6,7,4,5,10,11,12]=>[8,6,4,9,7,1,2,3,5,10,11,12]
[1,2,3,6,7,8,9,4,5,10,11,12]=>[4,5,8,6,9,1,2,3,7,10,11,12]
[11,12,1,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,1,12,2]
[1,10,11,2,3,4,5,6,7,8,9,12]=>[4,5,6,7,8,9,10,2,11,1,3,12]
[1,2,9,10,3,4,5,6,7,8,11,12]=>[5,6,7,8,9,3,10,1,2,4,11,12]
[1,2,3,8,9,4,5,6,7,10,11,12]=>[6,7,8,4,9,1,2,3,5,10,11,12]
[1,2,3,4,7,8,5,6,9,10,11,12]=>[7,5,8,1,2,3,4,6,9,10,11,12]
[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]
[11,1,12,10,9,8,7,6,5,4,3,2]=>[12,11,10,9,8,7,6,5,4,2,1,3]
[2,12,11,10,9,8,7,6,5,4,1,3]=>[11,12,10,9,8,7,6,5,4,1,3,2]
[11,1,2,3,4,5,6,7,8,9,12,10]=>[12,2,3,4,5,6,7,8,9,10,1,11]
[2,12,1,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]
[11,12,9,10,7,8,5,6,2,1,3,4]=>[10,9,11,7,5,3,1,12,8,6,4,2]
[11,12,9,10,7,8,4,3,5,6,1,2]=>[8,7,11,9,5,3,1,12,10,6,4,2]
[11,12,9,10,7,8,4,2,5,1,3,6]=>[8,10,7,11,9,5,3,1,12,6,4,2]
[11,12,9,10,7,8,3,2,1,4,5,6]=>[9,8,7,10,11,5,3,1,12,6,4,2]
[11,12,9,10,6,5,7,8,3,4,1,2]=>[6,5,11,9,7,3,1,12,10,8,4,2]
[11,12,9,10,6,5,7,8,2,1,3,4]=>[10,9,6,5,11,7,3,1,12,8,4,2]
[11,12,9,10,6,4,7,3,5,8,1,2]=>[6,8,5,11,9,7,3,1,12,10,4,2]
[11,12,9,10,6,4,7,2,5,1,3,8]=>[8,6,10,5,11,9,7,3,1,12,4,2]
[11,12,9,10,6,3,7,2,1,4,5,8]=>[6,9,8,10,5,11,7,3,1,12,4,2]
[11,12,9,10,5,4,3,6,7,8,1,2]=>[7,6,5,8,11,9,3,1,12,10,4,2]
[11,12,9,10,5,4,2,6,7,1,3,8]=>[10,7,6,5,8,11,9,3,1,12,4,2]
[11,12,9,10,5,3,2,6,1,4,7,8]=>[7,6,9,5,10,8,11,3,1,12,4,2]
[11,12,9,10,4,3,2,1,5,6,7,8]=>[8,7,6,5,9,10,11,3,1,12,4,2]
[11,12,8,7,9,10,5,6,3,4,1,2]=>[4,3,11,9,7,5,1,12,10,8,6,2]
[11,12,8,7,9,10,5,6,2,1,3,4]=>[10,9,4,3,11,7,5,1,12,8,6,2]
[11,12,8,7,9,10,4,3,5,6,1,2]=>[8,7,4,3,11,9,5,1,12,10,6,2]
[11,12,8,7,9,10,4,2,5,1,3,6]=>[8,10,7,4,3,11,9,5,1,12,6,2]
[11,12,8,7,9,10,3,2,1,4,5,6]=>[9,8,7,10,4,3,11,5,1,12,6,2]
[11,12,8,6,9,5,7,10,3,4,1,2]=>[4,6,3,11,9,7,5,1,12,10,8,2]
[11,12,8,6,9,5,7,10,2,1,3,4]=>[4,10,9,6,3,11,7,5,1,12,8,2]
[11,12,8,6,9,4,7,3,5,10,1,2]=>[6,4,8,3,11,9,7,5,1,12,10,2]
[11,12,8,6,9,4,7,2,5,1,3,10]=>[8,6,4,10,3,11,9,7,5,1,12,2]
[11,12,8,6,9,3,7,2,1,4,5,10]=>[6,9,8,4,10,3,11,7,5,1,12,2]
[11,12,8,5,9,4,3,6,7,10,1,2]=>[4,7,6,8,3,11,9,5,1,12,10,2]
[11,12,8,5,9,4,2,6,7,1,3,10]=>[4,10,7,6,8,3,11,9,5,1,12,2]
[11,12,8,5,9,3,2,6,1,4,7,10]=>[7,6,4,9,10,8,3,11,5,1,12,2]
[11,12,8,4,9,3,2,1,5,6,7,10]=>[4,8,7,6,9,10,3,11,5,1,12,2]
[11,12,7,6,5,8,9,10,3,4,1,2]=>[5,4,3,6,11,9,7,1,12,10,8,2]
[11,12,7,6,5,8,9,10,2,1,3,4]=>[5,4,3,10,9,6,11,7,1,12,8,2]
[11,12,7,6,4,8,9,3,5,10,1,2]=>[8,5,4,3,6,11,9,7,1,12,10,2]
[11,12,7,6,4,8,9,2,5,1,3,10]=>[5,8,4,3,10,6,11,9,7,1,12,2]
[11,12,7,6,3,8,9,2,1,4,5,10]=>[9,5,8,4,3,10,6,11,7,1,12,2]
[11,12,7,5,4,8,3,6,9,10,1,2]=>[5,4,7,3,8,6,11,9,1,12,10,2]
[11,12,7,5,4,8,2,6,9,1,3,10]=>[5,4,10,7,3,8,6,11,9,1,12,2]
[11,12,7,5,3,8,2,6,1,4,9,10]=>[5,7,4,9,3,10,8,6,11,1,12,2]
[11,12,7,4,3,8,2,1,5,6,9,10]=>[5,4,8,7,9,3,10,6,11,1,12,2]
[11,12,6,5,4,3,7,8,9,10,1,2]=>[6,5,4,3,7,8,11,9,1,12,10,2]
[11,12,6,5,4,2,7,8,9,1,3,10]=>[7,5,4,3,10,6,8,11,9,1,12,2]
[11,12,6,5,3,2,7,8,1,4,9,10]=>[5,9,6,4,3,7,10,8,11,1,12,2]
[11,12,6,4,3,2,7,1,5,8,9,10]=>[6,5,4,8,3,9,7,10,11,1,12,2]
[11,12,5,4,3,2,1,6,7,8,9,10]=>[7,6,5,4,3,8,9,10,11,1,12,2]
[10,9,11,12,7,8,5,6,3,4,1,2]=>[2,1,11,9,7,5,3,12,10,8,6,4]
[10,9,11,12,7,8,5,6,2,1,3,4]=>[10,9,2,1,11,7,5,3,12,8,6,4]
[10,9,11,12,7,8,4,3,5,6,1,2]=>[8,7,2,1,11,9,5,3,12,10,6,4]
[10,9,11,12,7,8,4,2,5,1,3,6]=>[8,10,7,2,1,11,9,5,3,12,6,4]
[10,9,11,12,7,8,3,2,1,4,5,6]=>[9,8,7,10,2,1,11,5,3,12,6,4]
[10,9,11,12,6,5,7,8,3,4,1,2]=>[6,5,2,1,11,9,7,3,12,10,8,4]
[10,9,11,12,6,5,7,8,2,1,3,4]=>[10,9,6,5,2,1,11,7,3,12,8,4]
[10,9,11,12,6,4,7,3,5,8,1,2]=>[6,8,5,2,1,11,9,7,3,12,10,4]
[10,9,11,12,6,4,7,2,5,1,3,8]=>[8,6,10,5,2,1,11,9,7,3,12,4]
[10,9,11,12,6,3,7,2,1,4,5,8]=>[6,9,8,10,5,2,1,11,7,3,12,4]
[10,9,11,12,5,4,3,6,7,8,1,2]=>[7,6,5,8,2,1,11,9,3,12,10,4]
[10,9,11,12,5,4,2,6,7,1,3,8]=>[10,7,6,5,8,2,1,11,9,3,12,4]
[10,9,11,12,5,3,2,6,1,4,7,8]=>[7,6,9,5,10,8,2,1,11,3,12,4]
[10,9,11,12,4,3,2,1,5,6,7,8]=>[8,7,6,5,9,10,2,1,11,3,12,4]
[10,8,11,7,9,12,5,6,3,4,1,2]=>[2,4,1,11,9,7,5,3,12,10,8,6]
[10,8,11,7,9,12,5,6,2,1,3,4]=>[2,10,9,4,1,11,7,5,3,12,8,6]
[10,8,11,7,9,12,4,3,5,6,1,2]=>[2,8,7,4,1,11,9,5,3,12,10,6]
[10,8,11,7,9,12,4,2,5,1,3,6]=>[8,2,10,7,4,1,11,9,5,3,12,6]
[10,8,11,7,9,12,3,2,1,4,5,6]=>[9,8,7,2,10,4,1,11,5,3,12,6]
[10,8,11,6,9,5,7,12,3,4,1,2]=>[4,2,6,1,11,9,7,5,3,12,10,8]
[10,8,11,6,9,5,7,12,2,1,3,4]=>[4,2,10,9,6,1,11,7,5,3,12,8]
[10,8,11,6,9,4,7,3,5,12,1,2]=>[6,4,2,8,1,11,9,7,5,3,12,10]
[10,8,11,6,9,4,7,2,5,1,3,12]=>[8,6,4,2,10,1,11,9,7,5,3,12]
[10,8,11,6,9,3,7,2,1,4,5,12]=>[6,9,8,4,2,10,1,11,7,5,3,12]
[10,8,11,5,9,4,3,6,7,12,1,2]=>[4,7,6,2,8,1,11,9,5,3,12,10]
[10,8,11,5,9,4,2,6,7,1,3,12]=>[4,10,7,6,2,8,1,11,9,5,3,12]
[10,8,11,5,9,3,2,6,1,4,7,12]=>[7,6,4,9,2,10,8,1,11,5,3,12]
[10,8,11,4,9,3,2,1,5,6,7,12]=>[4,8,7,6,9,2,10,1,11,5,3,12]
[10,7,11,6,5,8,9,12,3,4,1,2]=>[2,5,4,6,1,11,9,7,3,12,10,8]
[10,7,11,6,5,8,9,12,2,1,3,4]=>[2,5,4,10,9,6,1,11,7,3,12,8]
[10,7,11,6,4,8,9,3,5,12,1,2]=>[2,8,5,4,6,1,11,9,7,3,12,10]
[10,7,11,6,4,8,9,2,5,1,3,12]=>[5,2,8,4,10,6,1,11,9,7,3,12]
[10,7,11,6,3,8,9,2,1,4,5,12]=>[9,5,2,8,4,10,6,1,11,7,3,12]
[10,7,11,5,4,8,3,6,9,12,1,2]=>[5,4,2,7,8,6,1,11,9,3,12,10]
[10,7,11,5,4,8,2,6,9,1,3,12]=>[5,4,2,10,7,8,6,1,11,9,3,12]
[10,7,11,5,3,8,2,6,1,4,9,12]=>[5,7,4,2,9,10,8,6,1,11,3,12]
[10,7,11,4,3,8,2,1,5,6,9,12]=>[5,4,8,7,2,9,10,6,1,11,3,12]
[10,6,11,5,4,3,7,8,9,12,1,2]=>[2,6,5,4,7,8,1,11,9,3,12,10]
[10,6,11,5,4,2,7,8,9,1,3,12]=>[2,7,5,4,10,6,8,1,11,9,3,12]
[10,6,11,5,3,2,7,8,1,4,9,12]=>[5,2,9,6,4,7,10,8,1,11,3,12]
[10,6,11,4,3,2,7,1,5,8,9,12]=>[6,5,4,2,8,9,7,10,1,11,3,12]
[10,5,11,4,3,2,1,6,7,8,9,12]=>[2,7,6,5,4,8,9,10,1,11,3,12]
[9,8,7,10,11,12,5,6,3,4,1,2]=>[3,2,1,4,11,9,7,5,12,10,8,6]
[9,8,7,10,11,12,5,6,2,1,3,4]=>[3,2,1,10,9,4,11,7,5,12,8,6]
[9,8,7,10,11,12,4,3,5,6,1,2]=>[3,2,1,8,7,4,11,9,5,12,10,6]
[9,8,7,10,11,12,4,2,5,1,3,6]=>[8,3,2,1,10,7,4,11,9,5,12,6]
[9,8,7,10,11,12,3,2,1,4,5,6]=>[9,8,7,3,2,1,10,4,11,5,12,6]
[9,8,6,10,11,5,7,12,3,4,1,2]=>[6,3,2,1,4,11,9,7,5,12,10,8]
[9,8,6,10,11,5,7,12,2,1,3,4]=>[10,3,2,1,9,6,4,11,7,5,12,8]
[9,8,6,10,11,4,7,3,5,12,1,2]=>[3,6,2,1,8,4,11,9,7,5,12,10]
[9,8,6,10,11,4,7,2,5,1,3,12]=>[3,8,6,2,1,10,4,11,9,7,5,12]
[9,8,6,10,11,3,7,2,1,4,5,12]=>[6,3,9,8,2,1,10,4,11,7,5,12]
[9,8,5,10,11,4,3,6,7,12,1,2]=>[7,3,6,2,1,8,4,11,9,5,12,10]
[9,8,5,10,11,4,2,6,7,1,3,12]=>[10,3,7,6,2,1,8,4,11,9,5,12]
[9,8,5,10,11,3,2,6,1,4,7,12]=>[3,7,6,9,2,1,10,8,4,11,5,12]
[9,8,4,10,11,3,2,1,5,6,7,12]=>[8,3,7,6,9,2,1,10,4,11,5,12]
[9,7,6,10,5,8,11,12,3,4,1,2]=>[3,2,5,1,6,4,11,9,7,12,10,8]
[9,7,6,10,5,8,11,12,2,1,3,4]=>[3,2,5,1,10,9,6,4,11,7,12,8]
[9,7,6,10,4,8,11,3,5,12,1,2]=>[3,2,8,5,1,6,4,11,9,7,12,10]
[9,7,6,10,4,8,11,2,5,1,3,12]=>[5,3,2,8,1,10,6,4,11,9,7,12]
[9,7,6,10,3,8,11,2,1,4,5,12]=>[9,5,3,2,8,1,10,6,4,11,7,12]
[9,7,5,10,4,8,3,6,11,12,1,2]=>[3,5,2,7,1,8,6,4,11,9,12,10]
[9,7,5,10,4,8,2,6,11,1,3,12]=>[3,5,2,10,7,1,8,6,4,11,9,12]
[9,7,5,10,3,8,2,6,1,4,11,12]=>[5,3,7,2,9,1,10,8,6,4,11,12]
[9,7,4,10,3,8,2,1,5,6,11,12]=>[3,5,8,7,2,9,1,10,6,4,11,12]
[9,6,5,10,4,3,7,8,11,12,1,2]=>[3,2,6,5,7,1,8,4,11,9,12,10]
[9,6,5,10,4,2,7,8,11,1,3,12]=>[3,2,7,5,10,6,1,8,4,11,9,12]
[9,6,5,10,3,2,7,8,1,4,11,12]=>[5,3,2,9,6,7,1,10,8,4,11,12]
[9,6,4,10,3,2,7,1,5,8,11,12]=>[3,6,5,2,8,9,7,1,10,4,11,12]
[9,5,4,10,3,2,1,6,7,8,11,12]=>[3,2,7,6,5,8,9,1,10,4,11,12]
[8,7,6,5,9,10,11,12,3,4,1,2]=>[4,3,2,1,5,6,11,9,7,12,10,8]
[8,7,6,5,9,10,11,12,2,1,3,4]=>[4,3,2,1,5,10,9,6,11,7,12,8]
[8,7,6,4,9,10,11,3,5,12,1,2]=>[5,3,2,1,8,4,6,11,9,7,12,10]
[8,7,6,4,9,10,11,2,5,1,3,12]=>[8,4,3,2,1,5,10,6,11,9,7,12]
[8,7,6,3,9,10,11,2,1,4,5,12]=>[9,8,4,3,2,1,5,10,6,11,7,12]
[8,7,5,4,9,10,3,6,11,12,1,2]=>[3,7,4,2,1,5,8,6,11,9,12,10]
[8,7,5,4,9,10,2,6,11,1,3,12]=>[3,10,4,2,1,7,5,8,6,11,9,12]
[8,7,5,3,9,10,2,6,1,4,11,12]=>[7,3,9,4,2,1,5,10,8,6,11,12]
[8,7,4,3,9,10,2,1,5,6,11,12]=>[3,8,4,7,2,1,9,5,10,6,11,12]
[8,6,5,4,9,3,7,10,11,12,1,2]=>[4,3,2,6,1,7,5,8,11,9,12,10]
[8,6,5,4,9,2,7,10,11,1,3,12]=>[4,3,2,7,1,10,6,5,8,11,9,12]
[8,6,5,3,9,2,7,10,1,4,11,12]=>[9,4,3,2,6,1,7,5,10,8,11,12]
[8,6,4,3,9,2,7,1,5,10,11,12]=>[4,3,6,2,8,1,9,7,5,10,11,12]
[8,5,4,3,9,2,1,6,7,10,11,12]=>[4,3,2,7,6,8,1,9,5,10,11,12]
[7,6,5,4,3,8,9,10,11,12,1,2]=>[5,4,3,2,1,6,7,8,11,9,12,10]
[7,6,5,4,2,8,9,10,11,1,3,12]=>[6,4,3,2,1,7,10,5,8,11,9,12]
[7,6,5,3,2,8,9,10,1,4,11,12]=>[4,6,3,2,1,9,5,7,10,8,11,12]
[7,6,4,3,2,8,9,1,5,10,11,12]=>[4,3,8,5,2,1,6,9,7,10,11,12]
[7,5,4,3,2,8,1,6,9,10,11,12]=>[5,4,3,2,7,1,8,6,9,10,11,12]
[6,5,4,3,2,1,7,8,9,10,11,12]=>[6,5,4,3,2,1,7,8,9,10,11,12]
[12,2,1,4,3,6,5,8,7,10,9,11]=>[2,4,6,8,11,3,5,7,9,10,12,1]
[12,2,1,4,3,6,5,8,7,9,11,10]=>[2,4,6,8,12,3,5,7,9,10,11,1]
[12,2,1,4,3,6,5,7,9,10,8,11]=>[2,4,6,9,11,3,5,7,8,10,12,1]
[12,2,1,4,3,6,5,7,9,8,11,10]=>[2,4,6,9,12,3,5,7,8,10,11,1]
[12,2,1,4,3,6,5,7,8,10,11,9]=>[2,4,6,10,12,3,5,7,8,9,11,1]
[12,2,1,4,3,5,7,8,6,10,9,11]=>[2,4,7,8,11,3,5,6,9,10,12,1]
[12,2,1,4,3,5,7,8,6,9,11,10]=>[2,4,7,8,12,3,5,6,9,10,11,1]
[12,2,1,4,3,5,7,6,9,10,8,11]=>[2,4,7,9,11,3,5,6,8,10,12,1]
[12,2,1,4,3,5,7,6,9,8,11,10]=>[2,4,7,9,12,3,5,6,8,10,11,1]
[12,2,1,4,3,5,7,6,8,10,11,9]=>[2,4,7,10,12,3,5,6,8,9,11,1]
[12,2,1,4,3,5,6,8,9,10,7,11]=>[2,4,8,9,11,3,5,6,7,10,12,1]
[12,2,1,4,3,5,6,8,9,7,11,10]=>[2,4,8,9,12,3,5,6,7,10,11,1]
[12,2,1,4,3,5,6,8,7,10,11,9]=>[2,4,8,10,12,3,5,6,7,9,11,1]
[12,2,1,4,3,5,6,7,9,10,11,8]=>[2,4,9,10,12,3,5,6,7,8,11,1]
[12,2,1,3,5,6,4,8,7,10,9,11]=>[2,5,6,8,11,3,4,7,9,10,12,1]
[12,2,1,3,5,6,4,8,7,9,11,10]=>[2,5,6,8,12,3,4,7,9,10,11,1]
[12,2,1,3,5,6,4,7,9,10,8,11]=>[2,5,6,9,11,3,4,7,8,10,12,1]
[12,2,1,3,5,6,4,7,9,8,11,10]=>[2,5,6,9,12,3,4,7,8,10,11,1]
[12,2,1,3,5,6,4,7,8,10,11,9]=>[2,5,6,10,12,3,4,7,8,9,11,1]
[12,2,1,3,5,4,7,8,6,10,9,11]=>[2,5,7,8,11,3,4,6,9,10,12,1]
[12,2,1,3,5,4,7,8,6,9,11,10]=>[2,5,7,8,12,3,4,6,9,10,11,1]
[12,2,1,3,5,4,7,6,9,10,8,11]=>[2,5,7,9,11,3,4,6,8,10,12,1]
[12,2,1,3,5,4,7,6,9,8,11,10]=>[2,5,7,9,12,3,4,6,8,10,11,1]
[12,2,1,3,5,4,7,6,8,10,11,9]=>[2,5,7,10,12,3,4,6,8,9,11,1]
[12,2,1,3,5,4,6,8,9,10,7,11]=>[2,5,8,9,11,3,4,6,7,10,12,1]
[12,2,1,3,5,4,6,8,9,7,11,10]=>[2,5,8,9,12,3,4,6,7,10,11,1]
[12,2,1,3,5,4,6,8,7,10,11,9]=>[2,5,8,10,12,3,4,6,7,9,11,1]
[12,2,1,3,5,4,6,7,9,10,11,8]=>[2,5,9,10,12,3,4,6,7,8,11,1]
[12,2,1,3,4,6,7,8,5,10,9,11]=>[2,6,7,8,11,3,4,5,9,10,12,1]
[12,2,1,3,4,6,7,8,5,9,11,10]=>[2,6,7,8,12,3,4,5,9,10,11,1]
[12,2,1,3,4,6,7,5,9,10,8,11]=>[2,6,7,9,11,3,4,5,8,10,12,1]
[12,2,1,3,4,6,7,5,9,8,11,10]=>[2,6,7,9,12,3,4,5,8,10,11,1]
[12,2,1,3,4,6,7,5,8,10,11,9]=>[2,6,7,10,12,3,4,5,8,9,11,1]
[12,2,1,3,4,6,5,8,9,10,7,11]=>[2,6,8,9,11,3,4,5,7,10,12,1]
[12,2,1,3,4,6,5,8,9,7,11,10]=>[2,6,8,9,12,3,4,5,7,10,11,1]
[12,2,1,3,4,6,5,8,7,10,11,9]=>[2,6,8,10,12,3,4,5,7,9,11,1]
[12,2,1,3,4,6,5,7,9,10,11,8]=>[2,6,9,10,12,3,4,5,7,8,11,1]
[12,2,1,3,4,5,7,8,9,10,6,11]=>[2,7,8,9,11,3,4,5,6,10,12,1]
[12,2,1,3,4,5,7,8,9,6,11,10]=>[2,7,8,9,12,3,4,5,6,10,11,1]
[12,2,1,3,4,5,7,8,6,10,11,9]=>[2,7,8,10,12,3,4,5,6,9,11,1]
[12,2,1,3,4,5,7,6,9,10,11,8]=>[2,7,9,10,12,3,4,5,6,8,11,1]
[12,2,1,3,4,5,6,8,9,10,11,7]=>[2,8,9,10,12,3,4,5,6,7,11,1]
[12,1,3,4,2,6,5,8,7,10,9,11]=>[3,4,6,8,11,2,5,7,9,10,12,1]
[12,1,3,4,2,6,5,8,7,9,11,10]=>[3,4,6,8,12,2,5,7,9,10,11,1]
[12,1,3,4,2,6,5,7,9,10,8,11]=>[3,4,6,9,11,2,5,7,8,10,12,1]
[12,1,3,4,2,6,5,7,9,8,11,10]=>[3,4,6,9,12,2,5,7,8,10,11,1]
[12,1,3,4,2,6,5,7,8,10,11,9]=>[3,4,6,10,12,2,5,7,8,9,11,1]
[12,1,3,4,2,5,7,8,6,10,9,11]=>[3,4,7,8,11,2,5,6,9,10,12,1]
[12,1,3,4,2,5,7,8,6,9,11,10]=>[3,4,7,8,12,2,5,6,9,10,11,1]
[12,1,3,4,2,5,7,6,9,10,8,11]=>[3,4,7,9,11,2,5,6,8,10,12,1]
[12,1,3,4,2,5,7,6,9,8,11,10]=>[3,4,7,9,12,2,5,6,8,10,11,1]
[12,1,3,4,2,5,7,6,8,10,11,9]=>[3,4,7,10,12,2,5,6,8,9,11,1]
[12,1,3,4,2,5,6,8,9,10,7,11]=>[3,4,8,9,11,2,5,6,7,10,12,1]
[12,1,3,4,2,5,6,8,9,7,11,10]=>[3,4,8,9,12,2,5,6,7,10,11,1]
[12,1,3,4,2,5,6,8,7,10,11,9]=>[3,4,8,10,12,2,5,6,7,9,11,1]
[12,1,3,4,2,5,6,7,9,10,11,8]=>[3,4,9,10,12,2,5,6,7,8,11,1]
[12,1,3,2,5,6,4,8,7,10,9,11]=>[3,5,6,8,11,2,4,7,9,10,12,1]
[12,1,3,2,5,6,4,8,7,9,11,10]=>[3,5,6,8,12,2,4,7,9,10,11,1]
[12,1,3,2,5,6,4,7,9,10,8,11]=>[3,5,6,9,11,2,4,7,8,10,12,1]
[12,1,3,2,5,6,4,7,9,8,11,10]=>[3,5,6,9,12,2,4,7,8,10,11,1]
[12,1,3,2,5,6,4,7,8,10,11,9]=>[3,5,6,10,12,2,4,7,8,9,11,1]
[12,1,3,2,5,4,7,8,6,10,9,11]=>[3,5,7,8,11,2,4,6,9,10,12,1]
[12,1,3,2,5,4,7,8,6,9,11,10]=>[3,5,7,8,12,2,4,6,9,10,11,1]
[12,1,3,2,5,4,7,6,9,10,8,11]=>[3,5,7,9,11,2,4,6,8,10,12,1]
[12,1,3,2,5,4,7,6,9,8,11,10]=>[3,5,7,9,12,2,4,6,8,10,11,1]
[12,1,3,2,5,4,7,6,8,10,11,9]=>[3,5,7,10,12,2,4,6,8,9,11,1]
[12,1,3,2,5,4,6,8,9,10,7,11]=>[3,5,8,9,11,2,4,6,7,10,12,1]
[12,1,3,2,5,4,6,8,9,7,11,10]=>[3,5,8,9,12,2,4,6,7,10,11,1]
[12,1,3,2,5,4,6,8,7,10,11,9]=>[3,5,8,10,12,2,4,6,7,9,11,1]
[12,1,3,2,5,4,6,7,9,10,11,8]=>[3,5,9,10,12,2,4,6,7,8,11,1]
[12,1,3,2,4,6,7,8,5,10,9,11]=>[3,6,7,8,11,2,4,5,9,10,12,1]
[12,1,3,2,4,6,7,8,5,9,11,10]=>[3,6,7,8,12,2,4,5,9,10,11,1]
[12,1,3,2,4,6,7,5,9,10,8,11]=>[3,6,7,9,11,2,4,5,8,10,12,1]
[12,1,3,2,4,6,7,5,9,8,11,10]=>[3,6,7,9,12,2,4,5,8,10,11,1]
[12,1,3,2,4,6,7,5,8,10,11,9]=>[3,6,7,10,12,2,4,5,8,9,11,1]
[12,1,3,2,4,6,5,8,9,10,7,11]=>[3,6,8,9,11,2,4,5,7,10,12,1]
[12,1,3,2,4,6,5,8,9,7,11,10]=>[3,6,8,9,12,2,4,5,7,10,11,1]
[12,1,3,2,4,6,5,8,7,10,11,9]=>[3,6,8,10,12,2,4,5,7,9,11,1]
[12,1,3,2,4,6,5,7,9,10,11,8]=>[3,6,9,10,12,2,4,5,7,8,11,1]
[12,1,3,2,4,5,7,8,9,10,6,11]=>[3,7,8,9,11,2,4,5,6,10,12,1]
[12,1,3,2,4,5,7,8,9,6,11,10]=>[3,7,8,9,12,2,4,5,6,10,11,1]
[12,1,3,2,4,5,7,8,6,10,11,9]=>[3,7,8,10,12,2,4,5,6,9,11,1]
[12,1,3,2,4,5,7,6,9,10,11,8]=>[3,7,9,10,12,2,4,5,6,8,11,1]
[12,1,3,2,4,5,6,8,9,10,11,7]=>[3,8,9,10,12,2,4,5,6,7,11,1]
[12,1,2,4,5,6,3,8,7,10,9,11]=>[4,5,6,8,11,2,3,7,9,10,12,1]
[12,1,2,4,5,6,3,8,7,9,11,10]=>[4,5,6,8,12,2,3,7,9,10,11,1]
[12,1,2,4,5,6,3,7,9,10,8,11]=>[4,5,6,9,11,2,3,7,8,10,12,1]
[12,1,2,4,5,6,3,7,9,8,11,10]=>[4,5,6,9,12,2,3,7,8,10,11,1]
[12,1,2,4,5,6,3,7,8,10,11,9]=>[4,5,6,10,12,2,3,7,8,9,11,1]
[12,1,2,4,5,3,7,8,6,10,9,11]=>[4,5,7,8,11,2,3,6,9,10,12,1]
[12,1,2,4,5,3,7,8,6,9,11,10]=>[4,5,7,8,12,2,3,6,9,10,11,1]
[12,1,2,4,5,3,7,6,9,10,8,11]=>[4,5,7,9,11,2,3,6,8,10,12,1]
[12,1,2,4,5,3,7,6,9,8,11,10]=>[4,5,7,9,12,2,3,6,8,10,11,1]
[12,1,2,4,5,3,7,6,8,10,11,9]=>[4,5,7,10,12,2,3,6,8,9,11,1]
[12,1,2,4,5,3,6,8,9,10,7,11]=>[4,5,8,9,11,2,3,6,7,10,12,1]
[12,1,2,4,5,3,6,8,9,7,11,10]=>[4,5,8,9,12,2,3,6,7,10,11,1]
[12,1,2,4,5,3,6,8,7,10,11,9]=>[4,5,8,10,12,2,3,6,7,9,11,1]
[12,1,2,4,5,3,6,7,9,10,11,8]=>[4,5,9,10,12,2,3,6,7,8,11,1]
[12,1,2,4,3,6,7,8,5,10,9,11]=>[4,6,7,8,11,2,3,5,9,10,12,1]
[12,1,2,4,3,6,7,8,5,9,11,10]=>[4,6,7,8,12,2,3,5,9,10,11,1]
[12,1,2,4,3,6,7,5,9,10,8,11]=>[4,6,7,9,11,2,3,5,8,10,12,1]
[12,1,2,4,3,6,7,5,9,8,11,10]=>[4,6,7,9,12,2,3,5,8,10,11,1]
[12,1,2,4,3,6,7,5,8,10,11,9]=>[4,6,7,10,12,2,3,5,8,9,11,1]
[12,1,2,4,3,6,5,8,9,10,7,11]=>[4,6,8,9,11,2,3,5,7,10,12,1]
[12,1,2,4,3,6,5,8,9,7,11,10]=>[4,6,8,9,12,2,3,5,7,10,11,1]
[12,1,2,4,3,6,5,8,7,10,11,9]=>[4,6,8,10,12,2,3,5,7,9,11,1]
[12,1,2,4,3,6,5,7,9,10,11,8]=>[4,6,9,10,12,2,3,5,7,8,11,1]
[12,1,2,4,3,5,7,8,9,10,6,11]=>[4,7,8,9,11,2,3,5,6,10,12,1]
[12,1,2,4,3,5,7,8,9,6,11,10]=>[4,7,8,9,12,2,3,5,6,10,11,1]
[12,1,2,4,3,5,7,8,6,10,11,9]=>[4,7,8,10,12,2,3,5,6,9,11,1]
[12,1,2,4,3,5,7,6,9,10,11,8]=>[4,7,9,10,12,2,3,5,6,8,11,1]
[12,1,2,4,3,5,6,8,9,10,11,7]=>[4,8,9,10,12,2,3,5,6,7,11,1]
[12,1,2,3,5,6,7,8,4,10,9,11]=>[5,6,7,8,11,2,3,4,9,10,12,1]
[12,1,2,3,5,6,7,8,4,9,11,10]=>[5,6,7,8,12,2,3,4,9,10,11,1]
[12,1,2,3,5,6,7,4,9,10,8,11]=>[5,6,7,9,11,2,3,4,8,10,12,1]
[12,1,2,3,5,6,7,4,9,8,11,10]=>[5,6,7,9,12,2,3,4,8,10,11,1]
[12,1,2,3,5,6,7,4,8,10,11,9]=>[5,6,7,10,12,2,3,4,8,9,11,1]
[12,1,2,3,5,6,4,8,9,10,7,11]=>[5,6,8,9,11,2,3,4,7,10,12,1]
[12,1,2,3,5,6,4,8,9,7,11,10]=>[5,6,8,9,12,2,3,4,7,10,11,1]
[12,1,2,3,5,6,4,8,7,10,11,9]=>[5,6,8,10,12,2,3,4,7,9,11,1]
[12,1,2,3,5,6,4,7,9,10,11,8]=>[5,6,9,10,12,2,3,4,7,8,11,1]
[12,1,2,3,5,4,7,8,9,10,6,11]=>[5,7,8,9,11,2,3,4,6,10,12,1]
[12,1,2,3,5,4,7,8,9,6,11,10]=>[5,7,8,9,12,2,3,4,6,10,11,1]
[12,1,2,3,5,4,7,8,6,10,11,9]=>[5,7,8,10,12,2,3,4,6,9,11,1]
[12,1,2,3,5,4,7,6,9,10,11,8]=>[5,7,9,10,12,2,3,4,6,8,11,1]
[12,1,2,3,5,4,6,8,9,10,11,7]=>[5,8,9,10,12,2,3,4,6,7,11,1]
[12,1,2,3,4,6,7,8,9,10,5,11]=>[6,7,8,9,11,2,3,4,5,10,12,1]
[12,1,2,3,4,6,7,8,9,5,11,10]=>[6,7,8,9,12,2,3,4,5,10,11,1]
[12,1,2,3,4,6,7,8,5,10,11,9]=>[6,7,8,10,12,2,3,4,5,9,11,1]
[12,1,2,3,4,6,7,5,9,10,11,8]=>[6,7,9,10,12,2,3,4,5,8,11,1]
[12,1,2,3,4,6,5,8,9,10,11,7]=>[6,8,9,10,12,2,3,4,5,7,11,1]
[12,1,2,3,4,5,7,8,9,10,11,6]=>[7,8,9,10,12,2,3,4,5,6,11,1]
[12,11,2,4,6,8,10,1,3,5,7,9]=>[8,4,5,9,10,3,6,11,12,7,2,1]
[10,9,2,4,6,8,12,1,3,5,7,11]=>[8,4,5,9,10,3,6,2,1,11,12,7]
[2,12,9,11,4,6,8,10,1,3,5,7]=>[9,5,6,10,3,11,7,12,8,1,4,2]
[12,11,10,9,2,4,6,8,1,3,5,7]=>[6,9,10,5,7,11,12,8,4,3,2,1]
[8,7,2,4,6,10,12,1,3,5,9,11]=>[8,4,5,9,2,1,10,3,6,11,12,7]
[8,12,7,11,2,4,6,10,1,3,5,9]=>[6,9,1,10,5,3,7,11,12,8,4,2]
[2,10,7,9,4,6,8,12,1,3,5,11]=>[9,5,3,6,10,7,4,1,2,11,12,8]
[2,4,12,7,9,11,6,8,10,1,3,5]=>[10,4,7,5,11,8,12,2,9,1,6,3]
[12,11,2,10,7,9,4,6,8,1,3,5]=>[7,10,5,11,8,12,9,3,6,4,2,1]
[10,9,8,7,2,4,6,12,1,3,5,11]=>[6,9,10,5,7,4,3,2,1,11,12,8]
[12,9,2,8,7,11,4,6,10,1,3,5]=>[7,10,5,4,11,8,2,12,3,9,6,1]
[8,12,7,11,10,9,2,4,6,1,3,5]=>[1,10,7,3,8,11,12,9,6,5,4,2]
[12,11,10,9,8,7,2,4,6,1,3,5]=>[10,7,8,11,12,9,6,5,4,3,2,1]
[6,5,2,4,8,10,12,1,3,7,9,11]=>[8,4,2,1,5,9,10,3,6,11,12,7]
[6,12,5,11,2,4,8,10,1,3,7,9]=>[1,6,3,9,10,5,7,11,12,8,4,2]
[6,10,5,9,2,4,8,12,1,3,7,11]=>[1,6,3,9,10,5,7,4,2,11,12,8]
[6,5,12,9,11,2,4,8,10,1,3,7]=>[1,7,10,11,2,6,4,8,12,9,5,3]
[12,11,6,10,5,9,2,4,8,1,3,7]=>[3,10,7,5,8,11,12,9,6,4,2,1]
[2,8,5,7,4,6,10,12,1,3,9,11]=>[3,5,6,4,2,9,10,1,7,11,12,8]
[2,8,12,5,7,11,4,6,10,1,3,9]=>[7,4,2,5,10,8,11,12,9,1,6,3]
[10,5,2,4,7,9,6,8,12,1,3,11]=>[5,2,7,10,4,8,3,6,1,11,12,9]
[12,5,7,2,4,6,9,11,8,10,1,3]=>[2,7,11,5,3,6,9,12,4,10,8,1]
[12,5,11,10,2,4,7,9,6,8,1,3]=>[7,11,2,6,9,12,5,10,8,4,3,1]
[10,9,2,8,5,7,4,6,12,1,3,11]=>[5,7,10,8,6,3,4,2,1,11,12,9]
[12,5,9,8,2,4,7,11,6,10,1,3]=>[7,11,2,6,9,4,3,12,5,10,8,1]
[2,12,5,11,8,10,7,9,4,6,1,3]=>[5,11,9,7,12,3,10,8,6,1,4,2]
[12,11,10,9,2,8,5,7,4,6,1,3]=>[7,11,9,12,10,5,8,6,4,3,2,1]
[8,7,6,5,2,4,10,12,1,3,9,11]=>[6,9,4,3,2,1,10,5,7,11,12,8]
[8,7,6,12,5,11,2,4,10,1,3,9]=>[3,2,1,10,7,5,8,11,12,9,6,4]
[10,7,2,6,5,9,4,8,12,1,3,11]=>[5,4,7,2,10,8,3,6,1,11,12,9]
[7,6,12,5,2,4,9,11,8,10,1,3]=>[2,1,7,4,11,6,9,12,5,10,8,3]
[2,12,7,11,6,10,5,9,4,8,1,3]=>[3,5,7,11,9,12,10,8,6,1,4,2]
[6,10,5,9,8,7,2,4,12,1,3,11]=>[10,1,3,7,8,6,5,4,2,11,12,9]
[2,12,6,9,5,8,7,11,4,10,1,3]=>[7,3,5,6,4,11,9,12,10,1,8,2]
[6,8,12,5,7,11,10,9,2,4,1,3]=>[4,1,2,5,9,11,12,10,8,7,6,3]
[12,11,6,10,5,9,8,7,2,4,1,3]=>[3,5,9,11,12,10,8,7,6,4,2,1]
[10,9,8,7,6,5,2,4,12,1,3,11]=>[10,7,8,6,5,4,3,2,1,11,12,9]
[12,9,8,7,2,6,5,11,4,10,1,3]=>[7,6,11,9,4,3,2,12,5,10,8,1]
[8,7,6,12,5,11,10,9,2,4,1,3]=>[3,2,1,5,9,11,12,10,8,7,6,4]
[7,12,6,11,10,9,8,5,2,4,1,3]=>[9,11,12,1,3,10,8,7,6,5,4,2]
[12,11,10,9,8,7,6,5,2,4,1,3]=>[9,11,12,10,8,7,6,5,4,3,2,1]
[4,3,2,6,8,10,12,1,5,7,9,11]=>[1,8,2,4,5,9,10,3,6,11,12,7]
[4,12,3,11,2,6,8,10,1,5,7,9]=>[6,9,10,1,3,5,7,11,12,8,4,2]
[4,10,3,9,2,6,8,12,1,5,7,11]=>[6,9,10,1,3,5,7,4,2,11,12,8]
[4,3,12,9,11,2,6,8,10,1,5,7]=>[7,10,11,6,1,4,8,12,2,9,5,3]
[12,11,4,10,3,9,2,6,8,1,5,7]=>[10,3,5,7,8,11,12,9,6,4,2,1]
[4,8,3,7,2,6,10,12,1,5,9,11]=>[6,9,1,3,4,2,10,5,7,11,12,8]
[4,8,12,3,7,11,2,6,10,1,5,9]=>[10,7,4,1,2,5,8,11,12,9,6,3]
[4,3,10,7,9,2,6,8,12,1,5,11]=>[7,4,10,1,6,8,2,5,3,11,12,9]
[4,3,7,9,12,11,2,6,8,10,1,5]=>[8,3,4,11,1,7,9,12,2,10,6,5]
[12,4,11,3,10,7,9,2,6,8,1,5]=>[11,8,6,9,12,2,4,10,7,5,3,1]
[10,9,4,8,3,7,2,6,12,1,5,11]=>[10,3,5,7,8,6,4,2,1,11,12,9]
[12,4,9,3,8,7,11,2,6,10,1,5]=>[11,8,6,2,4,5,3,9,12,10,7,1]
[4,8,12,11,10,3,7,9,2,6,1,5]=>[2,9,11,6,7,12,10,1,8,5,4,3]
[12,11,10,9,4,8,3,7,2,6,1,5]=>[5,7,9,11,12,10,8,6,4,3,2,1]
[3,6,2,5,4,8,10,12,1,7,9,11]=>[4,6,1,2,9,10,3,5,7,11,12,8]
[3,6,12,2,5,11,4,8,10,1,7,9]=>[2,10,5,7,8,11,12,1,4,9,6,3]
[3,6,10,2,5,9,4,8,12,1,7,11]=>[2,10,5,7,8,1,4,6,3,11,12,9]
[3,12,6,2,5,9,11,4,8,10,1,7]=>[3,11,8,5,6,9,12,1,4,10,7,2]
[12,11,3,6,10,2,5,9,4,8,1,7]=>[7,4,9,11,12,3,6,10,8,5,2,1]
[3,5,8,2,4,7,6,10,12,1,9,11]=>[2,6,10,1,4,5,3,7,8,11,12,9]
[3,5,8,12,2,4,7,11,6,10,1,9]=>[7,9,2,3,11,12,1,5,6,10,8,4]
[3,5,7,10,2,4,6,9,8,12,1,11]=>[9,2,5,1,3,6,7,8,4,11,12,10]
[3,5,7,9,12,2,4,6,8,11,10,1]=>[3,12,2,6,7,1,4,8,9,11,10,5]
[12,11,3,5,7,10,2,4,6,9,8,1]=>[12,4,7,3,5,8,9,11,10,6,2,1]
[10,9,3,5,8,2,4,7,6,12,1,11]=>[4,9,3,6,7,8,5,2,1,11,12,10]
[9,8,3,5,7,12,2,4,6,11,10,1]=>[12,4,7,3,5,2,1,8,9,11,10,6]
[3,5,12,11,8,10,2,4,7,9,6,1]=>[9,12,7,5,8,11,2,10,1,6,4,3]
[12,11,10,9,3,5,8,2,4,7,6,1]=>[6,12,5,8,9,11,10,7,4,3,2,1]
[8,7,3,6,2,5,4,10,12,1,9,11]=>[6,10,3,5,4,2,1,7,8,11,12,9]
[8,7,3,6,12,2,5,11,4,10,1,9]=>[7,4,9,2,1,11,12,3,6,10,8,5]
[7,6,3,5,10,2,4,9,8,12,1,11]=>[4,9,3,2,1,6,7,8,5,11,12,10]
[7,6,3,5,9,12,2,4,8,11,10,1]=>[12,4,2,1,7,3,5,8,9,11,10,6]
[7,12,6,11,3,5,10,2,4,9,8,1]=>[1,6,3,12,5,8,9,11,10,7,4,2]
[3,6,10,9,8,2,5,7,4,12,1,11]=>[7,9,2,6,8,5,1,4,3,11,12,10]
[3,9,6,8,5,7,12,2,4,11,10,1]=>[3,5,6,4,2,12,1,8,9,11,10,7]
[3,2,12,6,8,11,10,5,7,9,4,1]=>[5,8,9,12,4,11,10,1,7,2,6,3]
[12,11,3,6,10,9,8,2,5,7,4,1]=>[9,12,4,8,11,10,3,7,6,5,2,1]
[10,9,8,7,3,6,2,5,4,12,1,11]=>[9,5,7,8,6,4,3,2,1,11,12,10]
[9,8,7,6,3,5,12,2,4,11,10,1]=>[6,12,5,4,3,2,1,8,9,11,10,7]
[8,7,3,6,12,11,10,2,5,9,4,1]=>[9,2,1,12,4,8,11,10,3,7,6,5]
[3,12,7,11,10,9,6,8,2,5,4,1]=>[12,9,3,7,11,10,8,6,1,5,4,2]
[12,11,10,9,8,7,3,6,2,5,4,1]=>[12,7,9,11,10,8,6,5,4,3,2,1]
[6,5,4,3,2,8,10,12,1,7,9,11]=>[4,3,2,1,6,9,10,5,7,11,12,8]
[6,5,4,12,3,11,2,8,10,1,7,9]=>[2,1,10,3,5,7,8,11,12,9,6,4]
[6,5,4,10,3,9,2,8,12,1,7,11]=>[2,1,10,3,5,7,8,6,4,11,12,9]
[6,12,5,4,3,9,11,2,8,10,1,7]=>[1,3,11,4,8,5,6,9,12,10,7,2]
[5,4,3,8,2,7,6,10,12,1,9,11]=>[2,1,6,10,3,5,4,7,8,11,12,9]
[5,4,3,8,12,2,7,11,6,10,1,9]=>[1,7,2,4,9,11,12,3,6,10,8,5]
[5,4,3,7,10,2,6,9,8,12,1,11]=>[2,1,4,9,3,6,7,8,5,11,12,10]
[5,4,3,7,9,12,2,6,8,11,10,1]=>[1,12,2,4,7,3,5,8,9,11,10,6]
[5,12,4,11,3,7,10,2,6,9,8,1]=>[6,12,1,3,5,8,9,11,10,7,4,2]
[5,10,4,9,3,8,2,7,6,12,1,11]=>[9,1,3,5,7,8,6,4,2,11,12,10]
[5,9,4,8,3,7,12,2,6,11,10,1]=>[6,12,1,3,5,4,2,8,9,11,10,7]
[12,11,5,4,3,8,10,2,7,9,6,1]=>[3,9,4,6,12,5,8,11,10,7,2,1]
[12,11,5,10,4,9,3,8,2,7,6,1]=>[12,3,5,7,9,11,10,8,6,4,2,1]
[4,8,3,7,6,5,2,10,12,1,9,11]=>[6,5,1,3,4,2,10,7,8,11,12,9]
[4,8,3,7,6,12,5,11,2,10,1,9]=>[5,4,7,1,2,9,11,12,3,10,8,6]
[4,7,3,6,5,10,2,9,8,12,1,11]=>[4,9,1,3,2,5,7,8,6,11,12,10]
[4,7,3,6,5,9,12,2,8,11,10,1]=>[4,6,1,2,12,3,5,8,9,11,10,7]
[4,7,12,3,6,11,5,10,2,9,8,1]=>[2,12,5,7,9,11,1,4,10,8,6,3]
[4,6,10,3,5,9,8,7,2,12,1,11]=>[9,2,8,1,4,5,7,6,3,11,12,10]
[4,6,9,3,5,8,7,12,2,11,10,1]=>[2,6,12,1,4,5,3,7,9,11,10,8]
[4,6,8,12,3,5,7,11,10,9,2,1]=>[3,12,2,11,1,5,6,7,10,9,8,4]
[12,11,4,6,10,3,5,9,8,7,2,1]=>[12,4,11,3,6,7,10,9,8,5,2,1]
[10,9,4,8,3,7,6,5,2,12,1,11]=>[9,8,3,5,7,6,4,2,1,11,12,10]
[9,8,4,7,3,6,5,12,2,11,10,1]=>[6,12,3,5,4,2,1,7,9,11,10,8]
[8,7,4,6,12,3,5,11,10,9,2,1]=>[12,4,2,1,11,3,6,7,10,9,8,5]
[4,7,12,11,10,3,6,9,8,5,2,1]=>[12,7,11,2,6,10,9,1,8,5,4,3]
[12,11,10,9,4,8,3,7,6,5,2,1]=>[12,11,5,7,10,9,8,6,4,3,2,1]
[8,7,6,5,4,3,2,10,12,1,9,11]=>[6,5,4,3,2,1,10,7,8,11,12,9]
[8,7,6,5,4,12,3,11,2,10,1,9]=>[5,4,3,2,1,7,9,11,12,10,8,6]
[7,6,5,4,3,10,2,9,8,12,1,11]=>[4,3,2,1,9,5,7,8,6,11,12,10]
[7,6,5,4,3,9,12,2,8,11,10,1]=>[4,3,2,1,6,12,5,8,9,11,10,7]
[7,6,5,12,4,11,3,10,2,9,8,1]=>[2,1,12,3,5,7,9,11,10,8,6,4]
[6,5,4,10,3,9,8,7,2,12,1,11]=>[1,9,2,8,3,5,7,6,4,11,12,10]
[6,5,4,9,3,8,7,12,2,11,10,1]=>[2,1,6,12,3,5,4,7,9,11,10,8]
[6,5,4,8,12,3,7,11,10,9,2,1]=>[1,12,2,4,11,3,6,7,10,9,8,5]
[6,12,5,11,4,10,3,9,8,7,2,1]=>[12,11,1,3,5,7,10,9,8,6,4,2]
[5,10,4,9,8,7,6,3,2,12,1,11]=>[9,8,7,1,3,6,5,4,2,11,12,10]
[5,9,4,8,7,6,3,12,2,11,10,1]=>[6,5,1,3,4,2,12,7,9,11,10,8]
[5,8,4,7,6,12,3,11,10,9,2,1]=>[12,4,1,2,11,3,5,7,10,9,8,6]
[5,7,12,4,6,11,10,9,8,3,2,1]=>[12,11,2,10,1,4,5,9,8,7,6,3]
[12,11,5,10,4,9,8,7,6,3,2,1]=>[12,11,10,3,5,9,8,7,6,4,2,1]
[10,9,8,7,6,5,4,3,2,12,1,11]=>[9,8,7,6,5,4,3,2,1,11,12,10]
[9,8,7,6,5,4,3,12,2,11,10,1]=>[6,5,4,3,2,1,12,7,9,11,10,8]
[8,7,6,5,4,12,3,11,10,9,2,1]=>[3,2,1,12,4,11,5,7,10,9,8,6]
[7,6,5,12,4,11,10,9,8,3,2,1]=>[12,1,11,2,10,3,5,9,8,7,6,4]
[6,12,5,11,10,9,8,7,4,3,2,1]=>[12,11,10,9,1,3,8,7,6,5,4,2]
[12,10,9,8,7,6,5,4,3,2,1,11]=>[11,10,9,8,7,6,5,4,3,2,12,1]
[11,3,4,5,6,7,8,9,10,1,12,2]=>[2,3,4,5,6,7,8,12,10,9,1,11]
[2,12,4,5,6,7,8,9,10,11,1,3]=>[3,4,5,6,7,8,11,9,12,1,10,2]
[3,1,2,4,5,6,7,8,9,10,11,12]=>[2,3,1,4,5,6,7,8,9,10,11,12]
[2,1,4,3,6,5,8,7,11,12,9,10]=>[11,1,3,5,7,9,12,2,4,6,8,10]
[2,1,4,3,6,5,9,10,7,8,12,11]=>[7,12,1,3,5,9,2,4,6,8,10,11]
[2,1,4,3,6,5,9,11,7,12,8,10]=>[7,11,12,1,3,5,9,2,4,6,8,10]
[2,1,4,3,6,5,10,11,12,7,8,9]=>[10,7,11,1,3,5,8,12,2,4,6,9]
[2,1,4,3,7,8,5,6,10,9,12,11]=>[5,9,1,3,6,12,2,4,7,8,10,11]
[2,1,4,3,7,8,5,6,11,12,9,10]=>[5,6,11,1,3,9,12,2,4,7,8,10]
[2,1,4,3,7,9,5,10,6,8,12,11]=>[12,5,9,1,3,7,2,4,6,8,10,11]
[2,1,4,3,7,9,5,11,6,12,8,10]=>[11,5,6,12,1,3,9,2,4,7,8,10]
[2,1,4,3,7,10,5,11,12,6,8,9]=>[10,11,5,8,1,3,6,12,2,4,7,9]
[2,1,4,3,8,9,10,5,6,7,12,11]=>[5,12,8,1,3,6,9,2,4,7,10,11]
[2,1,4,3,8,9,11,5,6,12,7,10]=>[5,11,6,12,1,3,8,9,2,4,7,10]
[2,1,4,3,8,10,11,5,12,6,7,9]=>[5,10,11,6,12,1,3,8,2,4,7,9]
[2,1,4,3,9,10,11,12,5,6,7,8]=>[9,5,10,6,11,1,3,7,12,2,4,8]
[2,1,5,6,3,4,8,7,10,9,12,11]=>[3,7,1,4,9,12,2,5,6,8,10,11]
[2,1,5,6,3,4,8,7,11,12,9,10]=>[3,4,11,1,7,9,12,2,5,6,8,10]
[2,1,5,6,3,4,9,10,7,8,12,11]=>[3,4,7,12,1,9,2,5,6,8,10,11]
[2,1,5,6,3,4,9,11,7,12,8,10]=>[3,4,7,11,12,1,9,2,5,6,8,10]
[2,1,5,6,3,4,10,11,12,7,8,9]=>[10,3,4,7,11,1,8,12,2,5,6,9]
[2,1,5,7,3,8,4,6,10,9,12,11]=>[9,3,6,1,4,12,2,5,7,8,10,11]
[2,1,5,7,3,8,4,6,11,12,9,10]=>[6,3,4,11,1,9,12,2,5,7,8,10]
[2,1,5,7,3,9,4,10,6,8,12,11]=>[4,12,3,9,1,7,2,5,6,8,10,11]
[2,1,5,7,3,9,4,11,6,12,8,10]=>[4,11,3,6,12,1,9,2,5,7,8,10]
[2,1,5,7,3,10,4,11,12,6,8,9]=>[4,10,11,3,8,1,6,12,2,5,7,9]
[2,1,5,8,3,9,10,4,6,7,12,11]=>[12,8,3,6,1,4,9,2,5,7,10,11]
[2,1,5,8,3,9,11,4,6,12,7,10]=>[11,6,3,4,12,1,8,9,2,5,7,10]
[2,1,5,8,3,10,11,4,12,6,7,9]=>[10,4,11,3,6,12,1,8,2,5,7,9]
[2,1,5,9,3,10,11,12,4,6,7,8]=>[9,10,6,3,4,11,1,7,12,2,5,8]
[2,1,6,7,8,3,4,5,10,9,12,11]=>[3,9,4,12,1,6,2,5,7,8,10,11]
[2,1,6,7,8,3,4,5,11,12,9,10]=>[3,4,11,9,1,5,12,2,6,7,8,10]
[2,1,6,7,9,3,4,10,5,8,12,11]=>[3,4,12,9,1,6,7,2,5,8,10,11]
[2,1,6,7,9,3,4,11,5,12,8,10]=>[3,4,11,12,9,1,6,2,5,7,8,10]
[2,1,6,7,10,3,4,11,12,5,8,9]=>[3,4,10,11,8,12,1,6,2,5,7,9]
[2,1,6,8,9,3,10,4,5,7,12,11]=>[12,3,8,4,9,1,6,2,5,7,10,11]
[2,1,6,8,9,3,11,4,5,12,7,10]=>[11,3,4,12,8,1,5,9,2,6,7,10]
[2,1,6,8,10,3,11,4,12,5,7,9]=>[10,3,4,11,12,8,1,6,2,5,7,9]
[2,1,6,9,10,3,11,12,4,5,7,8]=>[9,10,3,4,11,7,1,5,12,2,6,8]
[2,1,7,8,9,10,3,4,5,6,12,11]=>[3,12,7,4,8,1,5,9,2,6,10,11]
[2,1,7,8,9,11,3,4,5,12,6,10]=>[3,11,4,12,7,1,5,8,9,2,6,10]
[2,1,7,8,10,11,3,4,12,5,6,9]=>[3,10,4,11,12,7,1,5,8,2,6,9]
[2,1,7,9,10,11,3,12,4,5,6,8]=>[3,9,10,4,11,5,12,1,7,2,6,8]
[2,1,8,9,10,11,12,3,4,5,6,7]=>[8,3,9,4,10,5,11,1,6,12,2,7]
[3,4,1,2,6,5,8,7,10,9,12,11]=>[1,5,2,7,9,12,3,4,6,8,10,11]
[3,4,1,2,6,5,8,7,11,12,9,10]=>[1,2,11,5,7,9,12,3,4,6,8,10]
[3,4,1,2,6,5,9,10,7,8,12,11]=>[1,2,7,12,5,9,3,4,6,8,10,11]
[3,4,1,2,6,5,9,11,7,12,8,10]=>[1,2,7,11,12,5,9,3,4,6,8,10]
[3,4,1,2,6,5,10,11,12,7,8,9]=>[10,1,2,7,11,5,8,12,3,4,6,9]
[3,4,1,2,7,8,5,6,10,9,12,11]=>[1,2,5,9,6,12,3,4,7,8,10,11]
[3,4,1,2,7,8,5,6,11,12,9,10]=>[1,2,5,6,11,9,12,3,4,7,8,10]
[3,4,1,2,7,9,5,10,6,8,12,11]=>[12,1,2,5,9,7,3,4,6,8,10,11]
[3,4,1,2,7,9,5,11,6,12,8,10]=>[11,1,2,5,6,12,9,3,4,7,8,10]
[3,4,1,2,7,10,5,11,12,6,8,9]=>[10,11,1,2,5,8,6,12,3,4,7,9]
[3,4,1,2,8,9,10,5,6,7,12,11]=>[5,12,1,2,8,6,9,3,4,7,10,11]
[3,4,1,2,8,9,11,5,6,12,7,10]=>[5,11,1,2,6,12,8,9,3,4,7,10]
[3,4,1,2,8,10,11,5,12,6,7,9]=>[5,10,11,1,2,6,12,8,3,4,7,9]
[3,4,1,2,9,10,11,12,5,6,7,8]=>[9,5,10,1,2,6,11,7,12,3,4,8]
[3,5,1,6,2,4,8,7,10,9,12,11]=>[7,1,4,2,9,12,3,5,6,8,10,11]
[3,5,1,6,2,4,8,7,11,12,9,10]=>[4,1,2,11,7,9,12,3,5,6,8,10]
[3,5,1,6,2,4,9,10,7,8,12,11]=>[4,1,2,7,12,9,3,5,6,8,10,11]
[3,5,1,6,2,4,9,11,7,12,8,10]=>[4,1,2,7,11,12,9,3,5,6,8,10]
[3,5,1,6,2,4,10,11,12,7,8,9]=>[2,10,1,4,7,11,8,12,3,5,6,9]
[3,5,1,7,2,8,4,6,10,9,12,11]=>[2,9,1,6,4,12,3,5,7,8,10,11]
[3,5,1,7,2,8,4,6,11,12,9,10]=>[2,6,1,4,11,9,12,3,5,7,8,10]
[3,5,1,7,2,9,4,10,6,8,12,11]=>[2,4,12,1,9,7,3,5,6,8,10,11]
[3,5,1,7,2,9,4,11,6,12,8,10]=>[2,4,11,1,6,12,9,3,5,7,8,10]
[3,5,1,7,2,10,4,11,12,6,8,9]=>[2,4,10,11,1,8,6,12,3,5,7,9]
[3,5,1,8,2,9,10,4,6,7,12,11]=>[12,2,8,1,6,4,9,3,5,7,10,11]
[3,5,1,8,2,9,11,4,6,12,7,10]=>[11,2,6,1,4,12,8,9,3,5,7,10]
[3,5,1,8,2,10,11,4,12,6,7,9]=>[10,2,4,11,1,6,12,8,3,5,7,9]
[3,5,1,9,2,10,11,12,4,6,7,8]=>[9,10,2,6,1,4,11,7,12,3,5,8]
[3,6,1,7,8,2,4,5,10,9,12,11]=>[9,4,1,2,12,6,3,5,7,8,10,11]
[3,6,1,7,8,2,4,5,11,12,9,10]=>[4,2,11,1,9,5,12,3,6,7,8,10]
[3,6,1,7,9,2,4,10,5,8,12,11]=>[4,2,12,1,9,6,7,3,5,8,10,11]
[3,6,1,7,9,2,4,11,5,12,8,10]=>[4,2,11,12,1,9,6,3,5,7,8,10]
[3,6,1,7,10,2,4,11,12,5,8,9]=>[4,2,10,11,1,8,12,6,3,5,7,9]
[3,6,1,8,9,2,10,4,5,7,12,11]=>[2,12,8,1,4,9,6,3,5,7,10,11]
[3,6,1,8,9,2,11,4,5,12,7,10]=>[2,11,4,12,1,8,5,9,3,6,7,10]
[3,6,1,8,10,2,11,4,12,5,7,9]=>[2,10,4,11,12,1,8,6,3,5,7,9]
[3,6,1,9,10,2,11,12,4,5,7,8]=>[2,9,10,4,11,1,7,5,12,3,6,8]
[3,7,1,8,9,10,2,4,5,6,12,11]=>[12,7,4,1,2,8,5,9,3,6,10,11]
[3,7,1,8,9,11,2,4,5,12,6,10]=>[11,4,2,12,1,7,5,8,9,3,6,10]
[3,7,1,8,10,11,2,4,12,5,6,9]=>[10,4,2,11,12,1,7,5,8,3,6,9]
[3,7,1,9,10,11,2,12,4,5,6,8]=>[9,2,10,4,11,1,5,12,7,3,6,8]
[3,8,1,9,10,11,12,2,4,5,6,7]=>[8,9,4,2,10,1,5,11,6,12,3,7]
[4,5,6,1,2,3,8,7,10,9,12,11]=>[1,7,2,9,3,12,4,5,6,8,10,11]
[4,5,6,1,2,3,8,7,11,12,9,10]=>[1,2,11,7,3,9,12,4,5,6,8,10]
[4,5,6,1,2,3,9,10,7,8,12,11]=>[1,2,7,3,12,9,4,5,6,8,10,11]
[4,5,6,1,2,3,9,11,7,12,8,10]=>[1,2,7,3,11,12,9,4,5,6,8,10]
[4,5,6,1,2,3,10,11,12,7,8,9]=>[1,2,3,10,7,11,8,12,4,5,6,9]
[4,5,7,1,2,8,3,6,10,9,12,11]=>[1,2,9,6,12,4,3,5,7,8,10,11]
[4,5,7,1,2,8,3,6,11,12,9,10]=>[1,2,6,11,9,3,12,4,5,7,8,10]
[4,5,7,1,2,9,3,10,6,8,12,11]=>[12,1,2,9,7,4,3,5,6,8,10,11]
[4,5,7,1,2,9,3,11,6,12,8,10]=>[11,1,2,6,3,12,9,4,5,7,8,10]
[4,5,7,1,2,10,3,11,12,6,8,9]=>[10,1,2,3,11,8,6,12,4,5,7,9]
[4,5,8,1,2,9,10,3,6,7,12,11]=>[12,1,2,8,6,9,4,3,5,7,10,11]
[4,5,8,1,2,9,11,3,6,12,7,10]=>[11,1,2,6,12,8,3,9,4,5,7,10]
[4,5,8,1,2,10,11,3,12,6,7,9]=>[10,11,1,2,6,3,12,8,4,5,7,9]
[4,5,9,1,2,10,11,12,3,6,7,8]=>[9,10,1,2,6,11,7,3,12,4,5,8]
[4,6,7,1,8,2,3,5,10,9,12,11]=>[9,1,2,12,6,4,3,5,7,8,10,11]
[4,6,7,1,8,2,3,5,11,12,9,10]=>[2,11,1,9,5,3,12,4,6,7,8,10]
[4,6,7,1,9,2,3,10,5,8,12,11]=>[2,12,1,9,6,3,7,4,5,8,10,11]
[4,6,7,1,9,2,3,11,5,12,8,10]=>[2,11,1,3,12,9,6,4,5,7,8,10]
[4,6,7,1,10,2,3,11,12,5,8,9]=>[2,10,1,3,11,8,12,6,4,5,7,9]
[4,6,8,1,9,2,10,3,5,7,12,11]=>[2,12,1,8,9,6,4,3,5,7,10,11]
[4,6,8,1,9,2,11,3,5,12,7,10]=>[2,11,12,1,8,5,3,9,4,6,7,10]
[4,6,8,1,10,2,11,3,12,5,7,9]=>[2,10,11,1,3,12,8,6,4,5,7,9]
[4,6,9,1,10,2,11,12,3,5,7,8]=>[2,9,10,11,1,7,5,3,12,4,6,8]
[4,7,8,1,9,10,2,3,5,6,12,11]=>[12,7,1,2,8,5,3,9,4,6,10,11]
[4,7,8,1,9,11,2,3,5,12,6,10]=>[11,2,12,1,7,5,3,8,9,4,6,10]
[4,7,8,1,10,11,2,3,12,5,6,9]=>[10,2,11,1,3,12,7,5,8,4,6,9]
[4,7,9,1,10,11,2,12,3,5,6,8]=>[9,2,10,11,1,5,3,12,7,4,6,8]
[4,8,9,1,10,11,12,2,3,5,6,7]=>[8,9,2,10,1,5,3,11,6,12,4,7]
[5,6,7,8,1,2,3,4,10,9,12,11]=>[1,9,2,12,5,3,6,4,7,8,10,11]
[5,6,7,8,1,2,3,4,11,12,9,10]=>[1,2,11,9,3,12,5,4,6,7,8,10]
[5,6,7,9,1,2,3,10,4,8,12,11]=>[1,2,12,9,5,3,6,7,4,8,10,11]
[5,6,7,9,1,2,3,11,4,12,8,10]=>[1,2,11,3,12,9,5,6,4,7,8,10]
[5,6,7,10,1,2,3,11,12,4,8,9]=>[1,2,10,3,11,8,12,5,6,4,7,9]
[5,6,8,9,1,2,10,3,4,7,12,11]=>[1,2,12,8,9,5,3,6,4,7,10,11]
[5,6,8,9,1,2,11,3,4,12,7,10]=>[1,2,11,12,8,3,9,5,4,6,7,10]
[5,6,8,10,1,2,11,3,12,4,7,9]=>[1,2,10,11,3,12,8,5,6,4,7,9]
[5,6,9,10,1,2,11,12,3,4,7,8]=>[1,2,9,10,11,7,3,12,5,4,6,8]
[5,7,8,9,1,10,2,3,4,6,12,11]=>[12,1,7,2,8,3,9,5,4,6,10,11]
[5,7,8,9,1,11,2,3,4,12,6,10]=>[11,1,2,12,7,3,8,4,9,5,6,10]
[5,7,8,10,1,11,2,3,12,4,6,9]=>[10,1,2,11,3,12,7,8,5,4,6,9]
[5,7,9,10,1,11,2,12,3,4,6,8]=>[9,1,2,10,11,3,12,7,5,4,6,8]
[5,8,9,10,1,11,12,2,3,4,6,7]=>[8,9,1,2,10,3,11,6,4,12,5,7]
[6,7,8,9,10,1,2,3,4,5,12,11]=>[1,12,6,2,7,3,8,4,9,5,10,11]
[6,7,8,9,11,1,2,3,4,12,5,10]=>[1,11,2,12,6,3,7,4,8,9,5,10]
[6,7,8,10,11,1,2,3,12,4,5,9]=>[1,10,2,11,3,12,6,7,4,8,5,9]
[6,7,9,10,11,1,2,12,3,4,5,8]=>[1,9,2,10,11,3,12,6,4,7,5,8]
[6,8,9,10,11,1,12,2,3,4,5,7]=>[1,8,9,2,10,3,11,4,12,6,5,7]
[1,2,3,4,5,6,7,8,9,12,10,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]
[12,1,3,4,5,6,7,8,9,10,11,2]=>[3,4,5,6,7,8,9,10,12,2,11,1]
[3,2,5,4,7,6,9,8,11,10,1,12]=>[1,3,5,7,11,2,4,6,8,10,9,12]
[3,2,5,4,7,6,9,8,1,12,10,11]=>[1,3,5,8,2,4,6,7,11,12,9,10]
[3,2,5,4,7,6,11,10,8,9,1,12]=>[9,11,1,3,5,10,2,4,6,8,7,12]
[3,2,5,4,7,6,1,10,8,12,9,11]=>[1,3,5,11,2,4,6,8,12,7,9,10]
[3,2,5,4,7,6,1,12,11,8,9,10]=>[1,3,5,10,11,12,2,4,6,9,7,8]
[3,2,5,4,9,8,6,7,11,10,1,12]=>[11,7,1,3,6,2,4,5,8,10,9,12]
[3,2,5,4,9,8,6,7,1,12,10,11]=>[7,8,1,3,6,2,4,5,11,12,9,10]
[3,2,5,4,11,8,6,10,7,9,1,12]=>[9,6,11,1,3,7,10,2,4,8,5,12]
[3,2,5,4,1,8,6,10,7,12,9,11]=>[1,3,6,11,2,4,8,12,5,7,9,10]
[3,2,5,4,1,8,6,12,11,7,9,10]=>[1,3,6,10,11,12,2,4,9,5,7,8]
[3,2,5,4,11,10,9,6,7,8,1,12]=>[8,9,11,10,1,3,7,2,4,6,5,12]
[3,2,5,4,1,10,9,6,7,12,8,11]=>[11,12,1,3,8,2,4,7,5,6,9,10]
[3,2,5,4,1,12,9,6,11,7,8,10]=>[10,11,1,3,7,12,2,4,8,9,5,6]
[3,2,5,4,1,12,11,10,6,7,8,9]=>[9,10,11,12,1,3,8,2,4,7,5,6]
[3,2,7,6,4,5,9,8,11,10,1,12]=>[7,4,1,3,11,2,5,6,8,10,9,12]
[3,2,7,6,4,5,9,8,1,12,10,11]=>[8,5,1,4,2,3,6,7,11,12,9,10]
[3,2,7,6,4,5,11,10,8,9,1,12]=>[4,3,9,11,1,10,2,5,6,8,7,12]
[3,2,7,6,4,5,1,10,8,12,9,11]=>[11,5,1,4,2,3,6,8,12,7,9,10]
[3,2,7,6,4,5,1,12,11,8,9,10]=>[10,4,1,3,11,12,2,5,6,9,7,8]
[3,2,9,6,4,8,5,7,11,10,1,12]=>[4,11,7,1,5,6,2,3,8,10,9,12]
[3,2,9,6,4,8,5,7,1,12,10,11]=>[7,4,8,1,5,6,2,3,11,12,9,10]
[3,2,11,6,4,8,5,10,7,9,1,12]=>[4,9,6,11,1,5,7,10,2,8,3,12]
[3,2,1,6,4,8,5,10,7,12,9,11]=>[1,4,6,11,2,8,12,3,5,7,9,10]
[3,2,1,6,4,8,5,12,11,7,9,10]=>[1,4,6,10,11,12,2,9,3,5,7,8]
[3,2,11,6,4,10,9,5,7,8,1,12]=>[4,8,9,11,10,1,5,7,2,6,3,12]
[3,2,1,6,4,10,9,5,7,12,8,11]=>[11,12,1,4,8,2,7,3,5,6,9,10]
[3,2,1,6,4,12,9,5,11,7,8,10]=>[10,11,1,4,7,12,2,8,9,3,5,6]
[3,2,1,6,4,12,11,10,5,7,8,9]=>[9,10,11,12,1,4,8,2,7,3,5,6]
[3,2,9,8,7,4,5,6,11,10,1,12]=>[11,6,7,5,1,4,2,3,8,10,9,12]
[3,2,9,8,7,4,5,6,1,12,10,11]=>[6,7,8,5,1,4,2,3,11,12,9,10]
[3,2,11,8,7,4,5,10,6,9,1,12]=>[9,11,6,5,1,4,7,10,2,8,3,12]
[3,2,1,8,7,4,5,10,6,12,9,11]=>[11,8,1,5,2,4,12,3,6,7,9,10]
[3,2,1,8,7,4,5,12,11,6,9,10]=>[10,5,1,4,11,12,2,9,3,6,7,8]
[3,2,11,10,7,4,9,5,6,8,1,12]=>[8,9,5,11,6,10,1,7,2,4,3,12]
[3,2,1,10,7,4,9,5,6,12,8,11]=>[11,5,12,1,8,2,6,7,3,4,9,10]
[3,2,1,12,7,4,9,5,11,6,8,10]=>[10,5,11,1,7,12,2,6,8,9,3,4]
[3,2,1,12,7,4,11,10,5,6,8,9]=>[9,5,10,11,12,1,8,2,6,7,3,4]
[3,2,11,10,9,8,4,5,6,7,1,12]=>[7,8,9,11,10,6,1,5,2,4,3,12]
[3,2,1,10,9,8,4,5,6,12,7,11]=>[11,12,7,8,1,6,2,5,3,4,9,10]
[3,2,1,12,9,8,4,5,11,6,7,10]=>[10,11,12,7,1,6,2,5,8,9,3,4]
[3,2,1,12,11,8,4,10,5,6,7,9]=>[9,10,11,6,12,1,7,8,2,5,3,4]
[3,2,1,12,11,10,9,4,5,6,7,8]=>[8,9,10,11,12,7,1,6,2,5,3,4]
[5,4,2,3,7,6,9,8,11,10,1,12]=>[5,2,1,7,11,3,4,6,8,10,9,12]
[5,4,2,3,7,6,9,8,1,12,10,11]=>[5,2,1,8,3,4,6,7,11,12,9,10]
[5,4,2,3,7,6,11,10,8,9,1,12]=>[2,1,9,11,5,10,3,4,6,8,7,12]
[5,4,2,3,7,6,1,10,8,12,9,11]=>[5,2,1,11,3,4,6,8,12,7,9,10]
[5,4,2,3,7,6,1,12,11,8,9,10]=>[5,2,1,10,11,12,3,4,6,9,7,8]
[5,4,2,3,9,8,6,7,11,10,1,12]=>[1,11,2,7,6,3,4,5,8,10,9,12]
[5,4,2,3,9,8,6,7,1,12,10,11]=>[2,1,7,8,6,3,4,5,11,12,9,10]
[5,4,2,3,11,8,6,10,7,9,1,12]=>[1,9,2,6,11,7,10,3,4,8,5,12]
[5,4,2,3,1,8,6,10,7,12,9,11]=>[6,2,1,11,3,4,8,12,5,7,9,10]
[5,4,2,3,1,8,6,12,11,7,9,10]=>[6,2,1,10,11,12,3,4,9,5,7,8]
[5,4,2,3,11,10,9,6,7,8,1,12]=>[1,8,9,11,2,10,7,3,4,6,5,12]
[5,4,2,3,1,10,9,6,7,12,8,11]=>[2,1,11,12,8,3,4,7,5,6,9,10]
[5,4,2,3,1,12,9,6,11,7,8,10]=>[2,1,10,11,7,12,3,4,8,9,5,6]
[5,4,2,3,1,12,11,10,6,7,8,9]=>[2,1,9,10,11,12,8,3,4,7,5,6]
[7,4,2,6,3,5,9,8,11,10,1,12]=>[2,7,4,11,3,1,5,6,8,10,9,12]
[7,4,2,6,3,5,9,8,1,12,10,11]=>[2,8,5,3,4,1,6,7,11,12,9,10]
[7,4,2,6,3,5,11,10,8,9,1,12]=>[2,4,9,1,11,10,3,5,6,8,7,12]
[7,4,2,6,3,5,1,10,8,12,9,11]=>[2,11,5,3,4,1,6,8,12,7,9,10]
[7,4,2,6,3,5,1,12,11,8,9,10]=>[2,10,4,11,1,12,3,5,6,9,7,8]
[9,4,2,6,3,8,5,7,11,10,1,12]=>[2,4,11,7,3,5,6,1,8,10,9,12]
[9,4,2,6,3,8,5,7,1,12,10,11]=>[2,7,4,8,3,5,6,1,11,12,9,10]
[11,4,2,6,3,8,5,10,7,9,1,12]=>[2,4,9,6,11,3,5,7,10,8,1,12]
[1,4,2,6,3,8,5,10,7,12,9,11]=>[2,4,6,11,8,12,1,3,5,7,9,10]
[1,4,2,6,3,8,5,12,11,7,9,10]=>[2,4,6,10,11,12,9,1,3,5,7,8]
[11,4,2,6,3,10,9,5,7,8,1,12]=>[2,4,8,9,11,10,3,5,7,6,1,12]
[1,4,2,6,3,10,9,5,7,12,8,11]=>[11,12,2,4,8,7,1,3,5,6,9,10]
[1,4,2,6,3,12,9,5,11,7,8,10]=>[10,11,2,4,7,12,8,9,1,3,5,6]
[1,4,2,6,3,12,11,10,5,7,8,9]=>[9,10,11,12,2,4,8,7,1,3,5,6]
[9,4,2,8,7,3,5,6,11,10,1,12]=>[11,2,6,7,5,3,4,1,8,10,9,12]
[9,4,2,8,7,3,5,6,1,12,10,11]=>[2,6,7,8,5,3,4,1,11,12,9,10]
[11,4,2,8,7,3,5,10,6,9,1,12]=>[9,11,2,6,5,3,4,7,10,8,1,12]
[1,4,2,8,7,3,5,10,6,12,9,11]=>[11,8,2,5,4,12,1,3,6,7,9,10]
[1,4,2,8,7,3,5,12,11,6,9,10]=>[10,5,2,4,11,12,9,1,3,6,7,8]
[11,4,2,10,7,3,9,5,6,8,1,12]=>[8,9,2,5,11,6,10,3,7,4,1,12]
[1,4,2,10,7,3,9,5,6,12,8,11]=>[11,5,12,2,8,6,7,1,3,4,9,10]
[1,4,2,12,7,3,9,5,11,6,8,10]=>[10,5,11,2,7,12,6,8,9,1,3,4]
[1,4,2,12,7,3,11,10,5,6,8,9]=>[9,5,10,11,12,2,8,6,7,1,3,4]
[11,4,2,10,9,8,3,5,6,7,1,12]=>[7,8,9,11,2,10,6,3,5,4,1,12]
[1,4,2,10,9,8,3,5,6,12,7,11]=>[11,12,7,8,2,6,5,1,3,4,9,10]
[1,4,2,12,9,8,3,5,11,6,7,10]=>[10,11,12,7,2,6,5,8,9,1,3,4]
[1,4,2,12,11,8,3,10,5,6,7,9]=>[9,10,11,6,12,2,7,8,5,1,3,4]
[1,4,2,12,11,10,9,3,5,6,7,8]=>[8,9,10,11,12,7,2,6,5,1,3,4]
[7,6,5,2,3,4,9,8,11,10,1,12]=>[7,11,4,3,2,1,5,6,8,10,9,12]
[7,6,5,2,3,4,9,8,1,12,10,11]=>[8,4,5,3,2,1,6,7,11,12,9,10]
[7,6,5,2,3,4,11,10,8,9,1,12]=>[9,3,2,1,11,10,4,5,6,8,7,12]
[7,6,5,2,3,4,1,10,8,12,9,11]=>[11,4,5,3,2,1,6,8,12,7,9,10]
[7,6,5,2,3,4,1,12,11,8,9,10]=>[10,11,3,2,1,12,4,5,6,9,7,8]
[9,6,5,2,3,8,4,7,11,10,1,12]=>[11,7,4,3,2,5,6,1,8,10,9,12]
[9,6,5,2,3,8,4,7,1,12,10,11]=>[7,8,4,3,2,5,6,1,11,12,9,10]
[11,6,5,2,3,8,4,10,7,9,1,12]=>[9,6,3,2,11,4,5,7,10,8,1,12]
[1,6,5,2,3,8,4,10,7,12,9,11]=>[6,3,2,11,8,12,1,4,5,7,9,10]
[1,6,5,2,3,8,4,12,11,7,9,10]=>[6,3,2,10,11,12,9,1,4,5,7,8]
[11,6,5,2,3,10,9,4,7,8,1,12]=>[8,3,2,9,11,10,4,5,7,6,1,12]
[1,6,5,2,3,10,9,4,7,12,8,11]=>[3,2,11,12,8,7,1,4,5,6,9,10]
[1,6,5,2,3,12,9,4,11,7,8,10]=>[3,2,10,11,7,12,8,9,1,4,5,6]
[1,6,5,2,3,12,11,10,4,7,8,9]=>[3,2,9,10,11,12,8,7,1,4,5,6]
[9,8,5,2,7,3,4,6,11,10,1,12]=>[11,6,3,7,4,5,2,1,8,10,9,12]
[9,8,5,2,7,3,4,6,1,12,10,11]=>[6,7,3,8,4,5,2,1,11,12,9,10]
[11,8,5,2,7,3,4,10,6,9,1,12]=>[9,3,11,6,4,5,2,7,10,8,1,12]
[1,8,5,2,7,3,4,10,6,12,9,11]=>[3,11,8,5,12,4,1,2,6,7,9,10]
[1,8,5,2,7,3,4,12,11,6,9,10]=>[3,10,5,11,2,12,9,1,4,6,7,8]
[11,10,5,2,7,3,9,4,6,8,1,12]=>[8,3,9,5,11,4,6,10,7,2,1,12]
[1,10,5,2,7,3,9,4,6,12,8,11]=>[3,11,5,12,8,4,6,7,1,2,9,10]
[1,12,5,2,7,3,9,4,11,6,8,10]=>[3,10,5,11,7,12,4,6,8,9,1,2]
[1,12,5,2,7,3,11,10,4,6,8,9]=>[3,9,5,10,11,12,8,4,6,7,1,2]
[11,10,5,2,9,8,3,4,6,7,1,12]=>[7,3,8,9,11,10,4,6,5,2,1,12]
[1,10,5,2,9,8,3,4,6,12,7,11]=>[3,11,12,7,8,6,4,5,1,2,9,10]
[1,12,5,2,9,8,3,4,11,6,7,10]=>[3,10,11,12,7,6,4,5,8,9,1,2]
[1,12,5,2,11,8,3,10,4,6,7,9]=>[3,9,10,11,6,12,7,8,4,5,1,2]
[1,12,5,2,11,10,9,3,4,6,7,8]=>[3,8,9,10,11,12,7,6,4,5,1,2]
[9,8,7,6,2,3,4,5,11,10,1,12]=>[11,5,6,7,4,3,2,1,8,10,9,12]
[9,8,7,6,2,3,4,5,1,12,10,11]=>[5,6,7,8,4,3,2,1,11,12,9,10]
[11,8,7,6,2,3,4,10,5,9,1,12]=>[9,11,5,6,4,3,2,7,10,8,1,12]
[1,8,7,6,2,3,4,10,5,12,9,11]=>[11,8,12,5,4,3,1,2,6,7,9,10]
[1,8,7,6,2,3,4,12,11,5,9,10]=>[10,11,4,3,2,12,9,1,5,6,7,8]
[11,10,7,6,2,3,9,4,5,8,1,12]=>[8,9,11,5,4,3,6,10,7,2,1,12]
[1,10,7,6,2,3,9,4,5,12,8,11]=>[11,12,8,5,4,3,6,7,1,2,9,10]
[1,12,7,6,2,3,9,4,11,5,8,10]=>[10,11,7,4,3,12,5,6,8,9,1,2]
[1,12,7,6,2,3,11,10,4,5,8,9]=>[9,10,4,3,11,12,8,5,6,7,1,2]
[11,10,9,6,2,8,3,4,5,7,1,12]=>[7,8,9,4,11,5,10,6,3,2,1,12]
[1,10,9,6,2,8,3,4,5,12,7,11]=>[11,12,7,4,8,5,6,3,1,2,9,10]
[1,12,9,6,2,8,3,4,11,5,7,10]=>[10,11,4,12,7,5,6,3,8,9,1,2]
[1,12,11,6,2,8,3,10,4,5,7,9]=>[9,10,4,11,6,12,5,7,8,3,1,2]
[1,12,11,6,2,10,9,3,4,5,7,8]=>[8,9,4,10,11,12,7,5,6,3,1,2]
[11,10,9,8,7,2,3,4,5,6,1,12]=>[6,7,8,9,11,10,5,4,3,2,1,12]
[1,10,9,8,7,2,3,4,5,12,6,11]=>[11,12,6,7,8,5,4,3,1,2,9,10]
[1,12,9,8,7,2,3,4,11,5,6,10]=>[10,11,12,6,7,5,4,3,8,9,1,2]
[1,12,11,8,7,2,3,10,4,5,6,9]=>[9,10,11,12,6,5,4,7,8,3,1,2]
[1,12,11,10,7,2,9,3,4,5,6,8]=>[8,9,10,11,5,12,6,7,4,3,1,2]
[1,12,11,10,9,8,2,3,4,5,6,7]=>[7,8,9,10,11,12,6,5,4,3,1,2]
[3,2,5,4,7,6,9,8,1,12,11,10]=>[1,3,5,7,12,2,4,6,8,11,9,10]
[3,2,5,4,7,6,11,10,9,8,1,12]=>[11,10,1,3,5,9,2,4,6,8,7,12]
[3,2,5,4,7,6,1,10,9,12,11,8]=>[1,3,5,8,12,2,4,6,9,11,7,10]
[3,2,5,4,7,6,1,12,11,10,9,8]=>[12,11,1,3,5,10,2,4,6,9,7,8]
[3,2,5,4,9,8,7,6,11,10,1,12]=>[7,6,1,3,5,11,2,4,8,10,9,12]
[3,2,5,4,9,8,7,6,1,12,11,10]=>[7,6,1,3,5,12,2,4,8,11,9,10]
[3,2,5,4,11,8,7,10,9,6,1,12]=>[6,11,7,10,1,3,9,2,4,8,5,12]
[3,2,5,4,1,8,7,10,9,12,11,6]=>[1,3,6,8,12,2,4,7,9,11,5,10]
[3,2,5,4,1,8,7,12,11,10,9,6]=>[12,11,1,3,6,10,2,4,7,9,5,8]
[3,2,5,4,11,10,9,8,7,6,1,12]=>[11,10,9,8,1,3,7,2,4,6,5,12]
[3,2,5,4,1,10,9,8,7,12,11,6]=>[8,7,1,3,6,12,2,4,9,11,5,10]
[3,2,5,4,1,12,9,8,11,10,7,6]=>[7,12,8,11,1,3,10,2,4,9,5,6]
[3,2,5,4,1,12,11,10,9,8,7,6]=>[12,11,10,9,1,3,8,2,4,7,5,6]
[3,2,7,6,5,4,9,8,11,10,1,12]=>[5,4,1,3,7,11,2,6,8,10,9,12]
[3,2,7,6,5,4,9,8,1,12,11,10]=>[5,4,1,3,7,12,2,6,8,11,9,10]
[3,2,7,6,5,4,11,10,9,8,1,12]=>[3,11,4,10,1,5,9,2,6,8,7,12]
[3,2,7,6,5,4,1,10,9,12,11,8]=>[5,4,1,3,8,12,2,6,9,11,7,10]
[3,2,7,6,5,4,1,12,11,10,9,8]=>[3,12,4,11,1,5,10,2,6,9,7,8]
[3,2,9,6,5,8,7,4,11,10,1,12]=>[4,7,5,6,1,3,11,2,8,10,9,12]
[3,2,9,6,5,8,7,4,1,12,11,10]=>[4,7,5,6,1,3,12,2,8,11,9,10]
[3,2,11,6,5,8,7,10,9,4,1,12]=>[4,6,11,5,7,10,1,9,2,8,3,12]
[3,2,1,6,5,8,7,10,9,12,11,4]=>[1,4,6,8,12,2,5,7,9,11,3,10]
[3,2,1,6,5,8,7,12,11,10,9,4]=>[12,11,1,4,6,10,2,5,7,9,3,8]
[3,2,11,6,5,10,9,8,7,4,1,12]=>[11,10,4,9,5,8,1,7,2,6,3,12]
[3,2,1,6,5,10,9,8,7,12,11,4]=>[8,7,1,4,6,12,2,5,9,11,3,10]
[3,2,1,6,5,12,9,8,11,10,7,4]=>[7,12,8,11,1,4,10,2,5,9,3,6]
[3,2,1,6,5,12,11,10,9,8,7,4]=>[12,11,10,9,1,4,8,2,5,7,3,6]
[3,2,9,8,7,6,5,4,11,10,1,12]=>[7,6,5,4,1,3,11,2,8,10,9,12]
[3,2,9,8,7,6,5,4,1,12,11,10]=>[7,6,5,4,1,3,12,2,8,11,9,10]
[3,2,11,8,7,6,5,10,9,4,1,12]=>[6,5,4,11,7,10,1,9,2,8,3,12]
[3,2,1,8,7,6,5,10,9,12,11,4]=>[6,5,1,4,8,12,2,7,9,11,3,10]
[3,2,1,8,7,6,5,12,11,10,9,4]=>[4,12,5,11,1,6,10,2,7,9,3,8]
[3,2,11,10,7,6,9,8,5,4,1,12]=>[5,11,6,10,9,8,1,7,2,4,3,12]
[3,2,1,10,7,6,9,8,5,12,11,4]=>[5,8,6,7,1,4,12,2,9,11,3,10]
[3,2,1,12,7,6,9,8,11,10,5,4]=>[5,7,12,6,8,11,1,10,2,9,3,4]
[3,2,1,12,7,6,11,10,9,8,5,4]=>[12,11,5,10,6,9,1,8,2,7,3,4]
[3,2,11,10,9,8,7,6,5,4,1,12]=>[11,10,9,8,7,6,1,5,2,4,3,12]
[3,2,1,10,9,8,7,6,5,12,11,4]=>[8,7,6,5,1,4,12,2,9,11,3,10]
[3,2,1,12,9,8,7,6,11,10,5,4]=>[7,6,5,12,8,11,1,10,2,9,3,4]
[3,2,1,12,11,8,7,10,9,6,5,4]=>[6,12,7,11,10,9,1,8,2,5,3,4]
[3,2,1,12,11,10,9,8,7,6,5,4]=>[12,11,10,9,8,7,1,6,2,5,3,4]
[5,4,3,2,7,6,9,8,11,10,1,12]=>[3,2,1,5,7,11,4,6,8,10,9,12]
[5,4,3,2,7,6,9,8,1,12,11,10]=>[3,2,1,5,7,12,4,6,8,11,9,10]
[5,4,3,2,7,6,11,10,9,8,1,12]=>[1,11,2,10,3,5,9,4,6,8,7,12]
[5,4,3,2,7,6,1,10,9,12,11,8]=>[3,2,1,5,8,12,4,6,9,11,7,10]
[5,4,3,2,7,6,1,12,11,10,9,8]=>[1,12,2,11,3,5,10,4,6,9,7,8]
[5,4,3,2,9,8,7,6,11,10,1,12]=>[1,7,2,6,3,5,11,4,8,10,9,12]
[5,4,3,2,9,8,7,6,1,12,11,10]=>[1,7,2,6,3,5,12,4,8,11,9,10]
[5,4,3,2,11,8,7,10,9,6,1,12]=>[1,6,11,2,7,10,3,9,4,8,5,12]
[5,4,3,2,1,8,7,10,9,12,11,6]=>[3,2,1,6,8,12,4,7,9,11,5,10]
[5,4,3,2,1,8,7,12,11,10,9,6]=>[1,12,2,11,3,6,10,4,7,9,5,8]
[5,4,3,2,11,10,9,8,7,6,1,12]=>[11,10,1,9,2,8,3,7,4,6,5,12]
[5,4,3,2,1,10,9,8,7,12,11,6]=>[1,8,2,7,3,6,12,4,9,11,5,10]
[5,4,3,2,1,12,9,8,11,10,7,6]=>[1,7,12,2,8,11,3,10,4,9,5,6]
[5,4,3,2,1,12,11,10,9,8,7,6]=>[12,11,1,10,2,9,3,8,4,7,5,6]
[7,4,3,6,5,2,9,8,11,10,1,12]=>[2,5,3,4,1,7,11,6,8,10,9,12]
[7,4,3,6,5,2,9,8,1,12,11,10]=>[2,5,3,4,1,7,12,6,8,11,9,10]
[7,4,3,6,5,2,11,10,9,8,1,12]=>[11,2,4,1,10,3,5,9,6,8,7,12]
[7,4,3,6,5,2,1,10,9,12,11,8]=>[2,5,3,4,1,8,12,6,9,11,7,10]
[7,4,3,6,5,2,1,12,11,10,9,8]=>[12,2,4,1,11,3,5,10,6,9,7,8]
[9,4,3,6,5,8,7,2,11,10,1,12]=>[2,4,7,3,5,6,1,11,8,10,9,12]
[9,4,3,6,5,8,7,2,1,12,11,10]=>[2,4,7,3,5,6,1,12,8,11,9,10]
[11,4,3,6,5,8,7,10,9,2,1,12]=>[2,4,6,11,3,5,7,10,9,8,1,12]
[1,4,3,6,5,8,7,10,9,12,11,2]=>[2,4,6,8,12,3,5,7,9,11,1,10]
[1,4,3,6,5,8,7,12,11,10,9,2]=>[12,11,2,4,6,10,3,5,7,9,1,8]
[11,4,3,6,5,10,9,8,7,2,1,12]=>[11,10,2,4,9,3,5,8,7,6,1,12]
[1,4,3,6,5,10,9,8,7,12,11,2]=>[8,7,2,4,6,12,3,5,9,11,1,10]
[1,4,3,6,5,12,9,8,11,10,7,2]=>[7,12,8,11,2,4,10,3,5,9,1,6]
[1,4,3,6,5,12,11,10,9,8,7,2]=>[12,11,10,9,2,4,8,3,5,7,1,6]
[9,4,3,8,7,6,5,2,11,10,1,12]=>[7,6,2,5,3,4,1,11,8,10,9,12]
[9,4,3,8,7,6,5,2,1,12,11,10]=>[7,6,2,5,3,4,1,12,8,11,9,10]
[11,4,3,8,7,6,5,10,9,2,1,12]=>[6,5,2,4,11,3,7,10,9,8,1,12]
[1,4,3,8,7,6,5,10,9,12,11,2]=>[6,5,2,4,8,12,3,7,9,11,1,10]
[1,4,3,8,7,6,5,12,11,10,9,2]=>[4,12,5,11,2,6,10,3,7,9,1,8]
[11,4,3,10,7,6,9,8,5,2,1,12]=>[5,11,6,10,2,9,3,8,7,4,1,12]
[1,4,3,10,7,6,9,8,5,12,11,2]=>[5,8,6,7,2,4,12,3,9,11,1,10]
[1,4,3,12,7,6,9,8,11,10,5,2]=>[5,7,12,6,8,11,2,10,3,9,1,4]
[1,4,3,12,7,6,11,10,9,8,5,2]=>[12,11,5,10,6,9,2,8,3,7,1,4]
[11,4,3,10,9,8,7,6,5,2,1,12]=>[11,10,9,8,2,7,3,6,5,4,1,12]
[1,4,3,10,9,8,7,6,5,12,11,2]=>[8,7,6,5,2,4,12,3,9,11,1,10]
[1,4,3,12,9,8,7,6,11,10,5,2]=>[7,6,5,12,8,11,2,10,3,9,1,4]
[1,4,3,12,11,8,7,10,9,6,5,2]=>[6,12,7,11,10,9,2,8,3,5,1,4]
[1,4,3,12,11,10,9,8,7,6,5,2]=>[12,11,10,9,8,7,2,6,3,5,1,4]
[7,6,5,4,3,2,9,8,11,10,1,12]=>[5,4,3,2,1,7,11,6,8,10,9,12]
[7,6,5,4,3,2,9,8,1,12,11,10]=>[5,4,3,2,1,7,12,6,8,11,9,10]
[7,6,5,4,3,2,11,10,9,8,1,12]=>[3,2,1,11,4,10,5,9,6,8,7,12]
[7,6,5,4,3,2,1,10,9,12,11,8]=>[5,4,3,2,1,8,12,6,9,11,7,10]
[7,6,5,4,3,2,1,12,11,10,9,8]=>[3,2,1,12,4,11,5,10,6,9,7,8]
[9,6,5,4,3,8,7,2,11,10,1,12]=>[4,3,2,7,5,6,1,11,8,10,9,12]
[9,6,5,4,3,8,7,2,1,12,11,10]=>[4,3,2,7,5,6,1,12,8,11,9,10]
[11,6,5,4,3,8,7,10,9,2,1,12]=>[4,3,2,6,11,5,7,10,9,8,1,12]
[1,6,5,4,3,8,7,10,9,12,11,2]=>[4,3,2,6,8,12,5,7,9,11,1,10]
[1,6,5,4,3,8,7,12,11,10,9,2]=>[2,12,3,11,4,6,10,5,7,9,1,8]
[11,6,5,4,3,10,9,8,7,2,1,12]=>[2,11,3,10,4,9,5,8,7,6,1,12]
[1,6,5,4,3,10,9,8,7,12,11,2]=>[2,8,3,7,4,6,12,5,9,11,1,10]
[1,6,5,4,3,12,9,8,11,10,7,2]=>[2,7,12,3,8,11,4,10,5,9,1,6]
[1,6,5,4,3,12,11,10,9,8,7,2]=>[12,11,2,10,3,9,4,8,5,7,1,6]
[9,8,5,4,7,6,3,2,11,10,1,12]=>[3,7,4,6,5,2,1,11,8,10,9,12]
[9,8,5,4,7,6,3,2,1,12,11,10]=>[3,7,4,6,5,2,1,12,8,11,9,10]
[11,8,5,4,7,6,3,10,9,2,1,12]=>[3,6,4,5,2,11,7,10,9,8,1,12]
[1,8,5,4,7,6,3,10,9,12,11,2]=>[3,6,4,5,2,8,12,7,9,11,1,10]
[1,8,5,4,7,6,3,12,11,10,9,2]=>[12,3,5,2,11,4,6,10,7,9,1,8]
[11,10,5,4,7,6,9,8,3,2,1,12]=>[3,5,11,4,6,10,9,8,7,2,1,12]
[1,10,5,4,7,6,9,8,3,12,11,2]=>[3,5,8,4,6,7,2,12,9,11,1,10]
[1,12,5,4,7,6,9,8,11,10,3,2]=>[3,5,7,12,4,6,8,11,10,9,1,2]
[1,12,5,4,7,6,11,10,9,8,3,2]=>[12,11,3,5,10,4,6,9,8,7,1,2]
[11,10,5,4,9,8,7,6,3,2,1,12]=>[11,10,3,9,4,8,7,6,5,2,1,12]
[1,10,5,4,9,8,7,6,3,12,11,2]=>[8,7,3,6,4,5,2,12,9,11,1,10]
[1,12,5,4,9,8,7,6,11,10,3,2]=>[7,6,3,5,12,4,8,11,10,9,1,2]
[1,12,5,4,11,8,7,10,9,6,3,2]=>[6,12,7,11,3,10,4,9,8,5,1,2]
[1,12,5,4,11,10,9,8,7,6,3,2]=>[12,11,10,9,3,8,4,7,6,5,1,2]
[9,8,7,6,5,4,3,2,11,10,1,12]=>[7,6,5,4,3,2,1,11,8,10,9,12]
[9,8,7,6,5,4,3,2,1,12,11,10]=>[7,6,5,4,3,2,1,12,8,11,9,10]
[11,8,7,6,5,4,3,10,9,2,1,12]=>[6,5,4,3,2,11,7,10,9,8,1,12]
[1,8,7,6,5,4,3,10,9,12,11,2]=>[6,5,4,3,2,8,12,7,9,11,1,10]
[1,8,7,6,5,4,3,12,11,10,9,2]=>[4,3,2,12,5,11,6,10,7,9,1,8]
[11,10,7,6,5,4,9,8,3,2,1,12]=>[5,4,3,11,6,10,9,8,7,2,1,12]
[1,10,7,6,5,4,9,8,3,12,11,2]=>[5,4,3,8,6,7,2,12,9,11,1,10]
[1,12,7,6,5,4,9,8,11,10,3,2]=>[5,4,3,7,12,6,8,11,10,9,1,2]
[1,12,7,6,5,4,11,10,9,8,3,2]=>[3,12,4,11,5,10,6,9,8,7,1,2]
[11,10,9,6,5,8,7,4,3,2,1,12]=>[4,11,5,10,9,8,7,6,3,2,1,12]
[1,10,9,6,5,8,7,4,3,12,11,2]=>[4,8,5,7,6,3,2,12,9,11,1,10]
[1,12,9,6,5,8,7,4,11,10,3,2]=>[4,7,5,6,3,12,8,11,10,9,1,2]
[1,12,11,6,5,8,7,10,9,4,3,2]=>[4,6,12,5,7,11,10,9,8,3,1,2]
[1,12,11,6,5,10,9,8,7,4,3,2]=>[12,11,4,10,5,9,8,7,6,3,1,2]
[11,10,9,8,7,6,5,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]
[1,10,9,8,7,6,5,4,3,12,11,2]=>[8,7,6,5,4,3,2,12,9,11,1,10]
[1,12,9,8,7,6,5,4,11,10,3,2]=>[7,6,5,4,3,12,8,11,10,9,1,2]
[1,12,11,8,7,6,5,10,9,4,3,2]=>[6,5,4,12,7,11,10,9,8,3,1,2]
[1,12,11,10,7,6,9,8,5,4,3,2]=>[5,12,6,11,10,9,8,7,4,3,1,2]
[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,11,10,9,8,7,6,5,4,3,1,2]
[2,3,4,5,6,7,8,9,10,11,12,1]=>[1,2,3,4,5,6,7,8,9,10,12,11]
[1,3,4,5,6,7,8,9,10,11,12,2]=>[2,3,4,5,6,7,8,9,10,12,1,11]
[2,1,4,3,6,5,8,7,10,12,11,9]=>[12,1,3,5,7,9,11,2,4,6,8,10]
[2,1,4,3,6,5,8,10,9,7,12,11]=>[9,1,3,5,7,8,12,2,4,6,10,11]
[2,1,4,3,6,5,10,12,9,11,7,8]=>[7,11,9,12,1,3,5,10,2,4,6,8]
[2,1,4,3,6,5,8,9,12,10,11,7]=>[10,12,1,3,5,7,8,11,2,4,6,9]
[2,1,4,3,6,8,7,5,10,9,12,11]=>[7,1,3,5,6,9,12,2,4,8,10,11]
[2,1,4,3,6,8,7,5,10,12,11,9]=>[6,12,1,3,5,7,9,11,2,4,8,10]
[2,1,4,3,8,10,7,9,5,6,12,11]=>[5,7,12,9,1,3,8,2,4,6,10,11]
[2,1,4,3,10,9,7,12,6,11,5,8]=>[7,9,6,5,11,12,1,3,10,2,4,8]
[2,1,4,3,8,9,7,12,10,6,11,5]=>[5,6,10,7,9,12,1,3,11,2,4,8]
[2,1,4,3,6,7,10,8,9,5,12,11]=>[8,9,1,3,5,6,7,12,2,4,10,11]
[2,1,4,3,10,7,12,8,9,11,5,6]=>[8,11,6,5,9,12,1,3,10,2,4,7]
[2,1,4,3,6,9,12,8,11,10,5,7]=>[6,8,11,12,10,1,3,5,9,2,4,7]
[2,1,4,3,6,7,8,12,9,10,11,5]=>[9,10,12,1,3,5,6,7,11,2,4,8]
[2,1,4,6,5,3,8,7,10,9,12,11]=>[5,1,3,4,7,9,12,2,6,8,10,11]
[2,1,4,6,5,3,8,7,10,12,11,9]=>[4,12,1,3,5,7,9,11,2,6,8,10]
[2,1,4,6,5,3,8,10,9,7,12,11]=>[4,9,1,3,5,7,8,12,2,6,10,11]
[2,1,4,6,5,3,10,12,9,11,7,8]=>[7,11,4,9,12,1,3,5,10,2,6,8]
[2,1,4,6,5,3,8,9,12,10,11,7]=>[4,10,12,1,3,5,7,8,11,2,6,9]
[2,1,6,8,5,7,3,4,10,9,12,11]=>[3,5,9,6,1,4,12,2,7,8,10,11]
[2,1,6,8,5,7,3,4,10,12,11,9]=>[3,5,6,4,12,1,9,11,2,7,8,10]
[2,1,8,7,5,10,4,9,3,6,12,11]=>[12,5,4,3,7,9,1,8,2,6,10,11]
[2,1,10,7,5,9,4,12,6,11,3,8]=>[9,4,11,5,6,3,12,1,7,10,2,8]
[2,1,8,7,5,9,4,12,10,6,11,3]=>[6,4,3,10,5,9,12,1,7,11,2,8]
[2,1,6,7,5,10,8,4,9,3,12,11]=>[3,4,8,5,7,9,1,6,12,2,10,11]
[2,1,10,8,5,7,12,4,9,11,3,6]=>[6,11,5,4,8,3,9,12,1,10,2,7]
[2,1,6,9,5,8,12,3,11,10,4,7]=>[6,11,3,4,12,5,10,1,8,9,2,7]
[2,1,6,7,5,8,12,9,3,10,11,4]=>[3,4,10,5,6,8,12,1,9,11,2,7]
[2,1,4,5,8,6,7,3,10,9,12,11]=>[6,7,1,3,4,5,9,12,2,8,10,11]
[2,1,4,5,8,6,7,3,10,12,11,9]=>[12,6,1,3,4,5,7,9,11,2,8,10]
[2,1,8,5,10,6,7,9,3,4,12,11]=>[6,7,3,12,4,9,1,8,2,5,10,11]
[2,1,10,5,9,6,7,12,4,11,3,8]=>[6,7,9,4,5,3,11,12,1,10,2,8]
[2,1,8,5,9,6,7,12,10,4,11,3]=>[10,6,4,3,5,7,9,12,1,11,2,8]
[2,1,4,7,10,6,9,8,3,5,12,11]=>[12,4,6,9,8,1,3,7,2,5,10,11]
[2,1,10,7,12,6,9,8,4,11,3,5]=>[4,6,9,3,11,8,7,12,1,10,2,5]
[2,1,4,9,12,6,10,8,11,7,3,5]=>[4,11,8,6,7,12,10,1,3,9,2,5]
[2,1,4,7,8,6,12,10,9,5,11,3]=>[10,4,5,9,6,8,12,1,3,11,2,7]
[2,1,4,5,6,10,7,8,9,3,12,11]=>[7,8,9,1,3,4,5,6,12,2,10,11]
[2,1,10,5,6,12,7,8,9,11,3,4]=>[7,8,11,4,5,3,9,12,1,10,2,6]
[2,1,4,9,6,12,7,8,11,10,3,5]=>[7,8,4,11,12,5,10,1,3,9,2,6]
[2,1,4,5,8,12,7,11,9,10,3,6]=>[11,5,7,9,12,10,1,3,4,8,2,6]
[2,1,4,5,6,7,12,8,9,10,11,3]=>[8,9,10,12,1,3,4,5,6,11,2,7]
[2,4,3,1,6,5,8,7,10,9,12,11]=>[3,1,2,5,7,9,12,4,6,8,10,11]
[2,4,3,1,6,5,8,7,10,12,11,9]=>[2,12,1,3,5,7,9,11,4,6,8,10]
[2,4,3,1,6,5,8,10,9,7,12,11]=>[2,9,1,3,5,7,8,12,4,6,10,11]
[2,4,3,1,6,5,10,12,9,11,7,8]=>[7,11,2,9,12,1,3,5,10,4,6,8]
[2,4,3,1,6,5,8,9,12,10,11,7]=>[2,10,12,1,3,5,7,8,11,4,6,9]
[2,4,3,1,6,8,7,5,10,9,12,11]=>[2,7,1,3,5,6,9,12,4,8,10,11]
[2,4,3,1,6,8,7,5,10,12,11,9]=>[2,6,12,1,3,5,7,9,11,4,8,10]
[2,4,3,1,8,10,7,9,5,6,12,11]=>[5,7,12,2,9,1,3,8,4,6,10,11]
[2,4,3,1,10,9,7,12,6,11,5,8]=>[7,9,6,2,5,11,12,1,3,10,4,8]
[2,4,3,1,8,9,7,12,10,6,11,5]=>[5,6,10,2,7,9,12,1,3,11,4,8]
[2,4,3,1,6,7,10,8,9,5,12,11]=>[2,8,9,1,3,5,6,7,12,4,10,11]
[2,4,3,1,10,7,12,8,9,11,5,6]=>[8,11,6,2,5,9,12,1,3,10,4,7]
[2,4,3,1,6,9,12,8,11,10,5,7]=>[6,8,11,12,2,10,1,3,5,9,4,7]
[2,4,3,1,6,7,8,12,9,10,11,5]=>[2,9,10,12,1,3,5,6,7,11,4,8]
[4,6,3,5,1,2,8,7,10,9,12,11]=>[1,3,7,4,2,9,12,5,6,8,10,11]
[4,6,3,5,1,2,8,7,10,12,11,9]=>[1,3,4,2,12,7,9,11,5,6,8,10]
[4,6,3,5,1,2,8,10,9,7,12,11]=>[1,3,4,2,9,7,8,12,5,6,10,11]
[4,6,3,5,1,2,10,12,9,11,7,8]=>[7,1,2,11,3,4,9,12,10,5,6,8]
[4,6,3,5,1,2,8,9,12,10,11,7]=>[1,3,4,2,10,12,7,8,11,5,6,9]
[6,5,3,8,2,7,1,4,10,9,12,11]=>[9,3,2,1,5,6,4,12,7,8,10,11]
[6,5,3,8,2,7,1,4,10,12,11,9]=>[6,2,1,12,3,5,4,9,11,7,8,10]
[8,5,3,7,2,10,4,9,1,6,12,11]=>[2,12,7,3,4,1,9,5,8,6,10,11]
[10,5,3,7,2,9,4,12,6,11,1,8]=>[2,9,4,11,3,6,12,5,1,7,10,8]
[8,5,3,7,2,9,4,12,10,6,11,1]=>[2,6,4,10,3,1,9,12,5,7,11,8]
[6,5,3,7,2,10,8,4,9,1,12,11]=>[4,2,1,8,3,7,9,5,6,12,10,11]
[10,5,3,8,2,7,12,4,9,11,1,6]=>[2,6,11,8,3,4,9,1,12,5,10,7]
[6,5,3,9,2,8,12,1,11,10,4,7]=>[2,1,6,11,4,12,3,10,5,8,9,7]
[6,5,3,7,2,8,12,9,1,10,11,4]=>[4,2,1,10,3,6,8,12,5,9,11,7]
[4,5,3,8,6,2,7,1,10,9,12,11]=>[1,2,6,3,5,7,4,9,12,8,10,11]
[4,5,3,8,6,2,7,1,10,12,11,9]=>[1,2,5,12,3,6,4,7,9,11,8,10]
[8,6,3,5,10,2,7,9,1,4,12,11]=>[4,7,2,12,3,1,6,9,8,5,10,11]
[10,6,3,5,9,2,7,12,4,11,1,8]=>[4,7,2,9,11,3,5,1,12,6,10,8]
[8,6,3,5,9,2,7,12,10,4,11,1]=>[10,4,2,7,3,1,5,9,12,6,11,8]
[4,7,3,6,10,1,9,8,2,5,12,11]=>[12,4,1,2,9,3,8,6,7,5,10,11]
[10,6,3,7,12,2,9,8,4,11,1,5]=>[4,2,9,11,8,3,6,1,7,12,10,5]
[4,9,3,6,12,1,10,8,11,7,2,5]=>[11,8,4,7,1,2,12,3,10,6,9,5]
[4,7,3,6,8,1,12,10,9,5,11,2]=>[10,4,1,2,5,9,3,8,12,11,6,7]
[4,5,3,6,10,7,1,8,9,2,12,11]=>[1,2,8,3,4,6,9,12,7,5,10,11]
[10,7,3,5,6,12,2,8,9,11,1,4]=>[4,5,8,2,11,3,7,1,9,12,10,6]
[4,9,3,7,6,12,1,8,11,10,2,5]=>[5,4,8,11,1,2,12,3,10,7,9,6]
[4,5,3,8,7,12,2,11,9,10,1,6]=>[4,11,1,2,5,9,12,3,7,10,8,6]
[4,5,3,6,7,12,8,2,9,10,11,1]=>[1,2,8,3,4,5,7,9,10,12,11,6]
[2,3,6,4,5,1,8,7,10,9,12,11]=>[4,5,1,2,3,7,9,12,6,8,10,11]
[2,3,6,4,5,1,8,7,10,12,11,9]=>[12,4,1,2,3,5,7,9,11,6,8,10]
[2,3,6,4,5,1,8,10,9,7,12,11]=>[9,4,1,2,3,5,7,8,12,6,10,11]
[2,3,6,4,5,1,10,12,9,11,7,8]=>[3,7,11,9,12,1,2,4,5,10,6,8]
[2,3,6,4,5,1,8,9,12,10,11,7]=>[10,3,12,1,2,4,5,7,8,11,6,9]
[6,3,8,4,5,7,1,2,10,9,12,11]=>[4,5,1,9,2,6,3,12,7,8,10,11]
[6,3,8,4,5,7,1,2,10,12,11,9]=>[4,5,1,6,2,3,12,9,11,7,8,10]
[8,3,7,4,5,10,2,9,1,6,12,11]=>[12,4,5,2,3,1,7,9,8,6,10,11]
[10,3,7,4,5,9,2,12,6,11,1,8]=>[9,11,4,2,3,5,6,1,12,7,10,8]
[8,3,7,4,5,9,2,12,10,6,11,1]=>[6,10,4,2,3,1,5,9,12,7,11,8]
[6,3,7,4,5,10,8,2,9,1,12,11]=>[8,4,2,1,3,5,7,9,6,12,10,11]
[10,3,8,4,5,7,12,2,9,11,1,6]=>[6,11,4,5,2,3,8,1,9,12,10,7]
[6,3,9,4,5,8,12,1,11,10,2,7]=>[6,1,11,12,4,2,3,5,10,8,9,7]
[6,3,7,4,5,8,12,9,1,10,11,2]=>[10,4,2,1,3,5,6,8,12,9,11,7]
[2,5,8,4,7,6,1,3,10,9,12,11]=>[9,2,4,6,5,1,3,12,7,8,10,11]
[2,5,8,4,7,6,1,3,10,12,11,9]=>[6,2,4,5,3,12,1,9,11,7,8,10]
[8,5,10,4,7,6,2,9,1,3,12,11]=>[12,2,4,1,7,6,5,9,8,3,10,11]
[10,5,9,4,7,6,2,12,3,11,1,8]=>[9,2,4,6,5,11,3,1,12,7,10,8]
[8,5,9,4,7,6,2,12,10,3,11,1]=>[6,2,4,1,5,3,10,9,12,7,11,8]
[2,7,10,4,8,6,9,5,1,3,12,11]=>[2,6,5,12,4,9,8,1,7,3,10,11]
[10,7,12,4,8,6,9,5,2,11,1,3]=>[2,9,6,4,5,1,11,8,7,12,10,3]
[2,9,8,4,12,6,10,3,11,7,1,5]=>[6,11,3,2,12,8,4,7,10,1,9,5]
[2,7,8,4,12,6,9,10,1,3,11,5]=>[2,6,3,12,9,4,7,10,1,8,11,5]
[2,5,6,4,10,8,7,3,9,1,12,11]=>[8,2,3,7,4,6,9,1,5,12,10,11]
[10,5,6,4,12,8,7,3,9,11,1,2]=>[8,2,3,7,4,6,1,11,9,12,10,5]
[2,9,8,4,6,12,7,3,11,10,1,5]=>[11,5,7,3,2,12,4,8,10,1,9,6]
[2,5,8,4,12,9,7,11,6,10,3,1]=>[3,7,6,9,12,2,11,4,10,1,8,5]
[2,5,6,4,7,12,9,8,1,10,11,3]=>[10,2,3,8,4,5,7,12,1,9,11,6]
[2,3,4,8,5,6,7,1,10,9,12,11]=>[5,6,7,1,2,3,4,9,12,8,10,11]
[2,3,4,8,5,6,7,1,10,12,11,9]=>[12,5,6,1,2,3,4,7,9,11,8,10]
[8,3,4,10,5,6,7,9,1,2,12,11]=>[5,6,7,12,2,1,3,9,8,4,10,11]
[10,3,4,9,5,6,7,12,2,11,1,8]=>[5,6,7,9,2,3,4,1,11,12,10,8]
[8,3,4,9,5,6,7,12,10,2,11,1]=>[10,5,6,2,3,1,4,7,9,12,11,8]
[2,7,4,10,5,6,9,8,1,3,12,11]=>[12,5,2,6,9,3,8,1,7,4,10,11]
[10,7,4,12,5,6,9,8,2,11,1,3]=>[5,6,2,9,11,3,1,8,7,12,10,4]
[2,9,4,12,5,6,10,8,11,7,1,3]=>[11,8,5,6,2,7,12,3,10,1,9,4]
[2,7,4,8,5,6,12,10,9,3,11,1]=>[4,2,10,9,3,5,6,8,12,1,11,7]
[2,3,6,10,5,9,7,8,1,4,12,11]=>[7,12,3,5,9,8,1,2,6,4,10,11]
[10,3,6,12,5,9,7,8,2,11,1,4]=>[9,3,5,7,11,8,2,1,6,12,10,4]
[2,9,6,12,5,11,7,8,10,1,3,4]=>[10,3,5,2,7,11,8,12,9,1,6,4]
[2,3,8,12,5,10,7,11,9,6,1,4]=>[3,7,11,6,12,5,10,9,1,2,8,4]
[2,3,6,7,5,12,10,8,9,4,11,1]=>[8,10,3,4,9,5,7,12,1,2,11,6]
[2,3,4,5,10,6,7,8,9,1,12,11]=>[6,7,8,9,1,2,3,4,5,12,10,11]
[10,3,4,5,12,6,7,8,9,11,1,2]=>[6,7,8,11,2,3,4,1,9,12,10,5]
[2,9,4,5,12,6,7,8,11,10,1,3]=>[6,7,8,11,2,12,3,4,10,1,9,5]
[2,3,8,5,12,6,7,11,9,10,1,4]=>[11,6,3,7,9,12,4,10,1,2,8,5]
[2,3,4,7,12,6,11,8,9,10,1,5]=>[8,11,4,6,9,12,10,1,2,3,7,5]
[2,3,4,5,6,12,7,8,9,10,11,1]=>[7,8,9,10,12,1,2,3,4,5,11,6]
[2,1,4,3,6,5,8,7,10,11,12,9]=>[1,3,5,7,9,10,12,2,4,6,8,11]
[2,1,4,3,6,5,8,9,10,7,12,11]=>[1,3,5,7,8,9,12,2,4,6,10,11]
[2,1,4,3,6,5,10,9,11,12,7,8]=>[8,7,11,1,3,5,9,12,2,4,6,10]
[2,1,4,3,6,5,8,9,10,11,12,7]=>[1,3,5,7,8,9,10,12,2,4,6,11]
[2,1,4,3,6,7,8,5,10,9,12,11]=>[1,3,5,6,7,9,12,2,4,8,10,11]
[2,1,4,3,6,7,8,5,10,11,12,9]=>[1,3,5,6,7,9,10,12,2,4,8,11]
[2,1,4,3,8,7,9,10,5,6,12,11]=>[6,5,7,12,1,3,9,2,4,8,10,11]
[2,1,4,3,10,7,11,9,5,12,8,6]=>[12,11,6,5,9,1,3,8,2,4,7,10]
[2,1,4,3,8,7,9,10,11,12,5,6]=>[6,5,7,8,11,1,3,9,12,2,4,10]
[2,1,4,3,6,7,8,9,10,5,12,11]=>[1,3,5,6,7,8,9,12,2,4,10,11]
[2,1,4,3,10,7,8,9,11,12,5,6]=>[6,7,8,5,11,1,3,9,12,2,4,10]
[2,1,4,3,6,9,8,10,11,5,12,7]=>[7,6,8,12,1,3,5,10,2,4,9,11]
[2,1,4,3,6,7,8,9,10,11,12,5]=>[1,3,5,6,7,8,9,10,12,2,4,11]
[2,1,4,5,6,3,8,7,10,9,12,11]=>[1,3,4,5,7,9,12,2,6,8,10,11]
[2,1,4,5,6,3,8,7,10,11,12,9]=>[1,3,4,5,7,9,10,12,2,6,8,11]
[2,1,4,5,6,3,8,9,10,7,12,11]=>[1,3,4,5,7,8,9,12,2,6,10,11]
[2,1,4,5,6,3,10,9,11,12,7,8]=>[8,7,11,1,3,4,5,9,12,2,6,10]
[2,1,4,5,6,3,8,9,10,11,12,7]=>[1,3,4,5,7,8,9,10,12,2,6,11]
[2,1,6,5,7,8,3,4,10,9,12,11]=>[4,3,5,9,1,6,12,2,7,8,10,11]
[2,1,6,5,7,8,3,4,10,11,12,9]=>[4,3,5,9,1,6,10,12,2,7,8,11]
[2,1,8,5,9,7,3,10,6,4,12,11]=>[9,8,4,3,6,1,5,12,2,7,10,11]
[2,1,10,5,11,7,3,9,6,12,8,4]=>[6,12,9,4,8,3,11,1,7,2,5,10]
[2,1,8,5,9,7,3,10,11,12,6,4]=>[8,6,4,3,5,9,12,1,11,2,7,10]
[2,1,6,5,7,8,9,10,3,4,12,11]=>[4,3,5,6,7,12,1,9,2,8,10,11]
[2,1,10,5,11,7,8,9,3,12,6,4]=>[6,7,12,11,4,3,9,1,8,2,5,10]
[2,1,6,5,9,10,8,12,11,4,7,3]=>[5,7,3,6,10,12,4,11,1,9,2,8]
[2,1,6,5,7,8,9,10,11,12,3,4]=>[4,3,5,6,7,8,11,1,9,12,2,10]
[2,1,4,5,6,7,8,3,10,9,12,11]=>[1,3,4,5,6,7,9,12,2,8,10,11]
[2,1,4,5,6,7,8,3,10,11,12,9]=>[1,3,4,5,6,7,9,10,12,2,8,11]
[2,1,8,5,6,7,9,10,3,4,12,11]=>[4,5,6,3,7,12,1,9,2,8,10,11]
[2,1,10,5,6,7,11,9,3,12,8,4]=>[12,11,4,5,6,3,9,1,8,2,7,10]
[2,1,8,5,6,7,9,10,11,12,3,4]=>[4,5,6,3,7,8,11,1,9,12,2,10]
[2,1,4,7,6,8,9,3,10,5,12,11]=>[5,4,6,9,1,3,7,12,2,8,10,11]
[2,1,10,7,6,8,9,3,11,12,5,4]=>[5,4,6,9,7,3,12,1,11,2,8,10]
[2,1,4,9,6,10,8,3,11,7,12,5]=>[10,9,5,4,7,1,3,6,12,2,8,11]
[2,1,4,7,6,8,9,10,11,3,12,5]=>[5,4,6,7,8,12,1,3,10,2,9,11]
[2,1,4,5,6,7,8,9,10,3,12,11]=>[1,3,4,5,6,7,8,9,12,2,10,11]
[2,1,10,5,6,7,8,9,11,12,3,4]=>[4,5,6,7,8,3,11,1,9,12,2,10]
[2,1,4,9,6,7,8,10,11,3,12,5]=>[5,6,7,4,8,12,1,3,10,2,9,11]
[2,1,4,5,8,7,9,10,3,11,12,6]=>[6,5,7,10,1,3,4,8,12,2,9,11]
[2,1,4,5,6,7,8,9,10,11,12,3]=>[1,3,4,5,6,7,8,9,10,12,2,11]
[2,3,4,1,6,5,8,7,10,9,12,11]=>[1,2,3,5,7,9,12,4,6,8,10,11]
[2,3,4,1,6,5,8,7,10,11,12,9]=>[1,2,3,5,7,9,10,12,4,6,8,11]
[2,3,4,1,6,5,8,9,10,7,12,11]=>[1,2,3,5,7,8,9,12,4,6,10,11]
[2,3,4,1,6,5,10,9,11,12,7,8]=>[8,7,11,1,2,3,5,9,12,4,6,10]
[2,3,4,1,6,5,8,9,10,11,12,7]=>[1,2,3,5,7,8,9,10,12,4,6,11]
[2,3,4,1,6,7,8,5,10,9,12,11]=>[1,2,3,5,6,7,9,12,4,8,10,11]
[2,3,4,1,6,7,8,5,10,11,12,9]=>[1,2,3,5,6,7,9,10,12,4,8,11]
[2,3,4,1,8,7,9,10,5,6,12,11]=>[6,5,7,12,1,2,3,9,4,8,10,11]
[2,3,4,1,10,7,11,9,5,12,8,6]=>[12,11,6,5,9,1,2,3,8,4,7,10]
[2,3,4,1,8,7,9,10,11,12,5,6]=>[6,5,7,8,11,1,2,3,9,12,4,10]
[2,3,4,1,6,7,8,9,10,5,12,11]=>[1,2,3,5,6,7,8,9,12,4,10,11]
[2,3,4,1,10,7,8,9,11,12,5,6]=>[6,7,8,5,11,1,2,3,9,12,4,10]
[2,3,4,1,6,9,8,10,11,5,12,7]=>[7,6,8,12,1,2,3,5,10,4,9,11]
[2,3,4,1,6,7,8,9,10,11,12,5]=>[1,2,3,5,6,7,8,9,10,12,4,11]
[4,3,5,6,1,2,8,7,10,9,12,11]=>[2,1,3,7,4,9,12,5,6,8,10,11]
[4,3,5,6,1,2,8,7,10,11,12,9]=>[2,1,3,7,4,9,10,12,5,6,8,11]
[4,3,5,6,1,2,8,9,10,7,12,11]=>[2,1,3,7,4,8,9,12,5,6,10,11]
[4,3,5,6,1,2,10,9,11,12,7,8]=>[1,8,2,3,4,7,11,9,12,5,6,10]
[4,3,5,6,1,2,8,9,10,11,12,7]=>[2,1,3,7,4,8,9,10,12,5,6,11]
[6,3,7,5,1,8,4,2,10,9,12,11]=>[7,6,2,1,4,3,9,12,5,8,10,11]
[6,3,7,5,1,8,4,2,10,11,12,9]=>[7,6,2,1,4,3,9,10,12,5,8,11]
[8,3,9,5,1,7,4,10,6,2,12,11]=>[4,9,7,2,6,1,8,3,12,5,10,11]
[10,3,11,5,1,7,4,9,6,12,8,2]=>[4,6,12,9,2,7,8,1,11,5,3,10]
[8,3,9,5,1,7,4,10,11,12,6,2]=>[4,8,6,9,2,1,3,12,7,11,5,10]
[6,3,7,5,1,8,9,10,4,2,12,11]=>[6,4,2,1,3,7,9,8,12,5,10,11]
[10,3,11,5,1,7,8,9,4,12,6,2]=>[4,6,7,12,9,2,8,1,11,5,3,10]
[6,3,9,5,2,10,8,12,11,4,7,1]=>[1,7,4,6,3,10,12,2,11,5,9,8]
[6,3,7,5,1,8,9,10,11,12,4,2]=>[6,4,2,1,3,7,8,9,12,11,5,10]
[4,3,5,6,7,8,1,2,10,9,12,11]=>[2,1,3,4,5,9,6,12,7,8,10,11]
[4,3,5,6,7,8,1,2,10,11,12,9]=>[2,1,3,4,5,9,6,10,12,7,8,11]
[8,3,9,5,6,7,1,10,4,2,12,11]=>[4,5,9,8,2,1,6,3,12,7,10,11]
[10,3,11,5,6,7,1,9,4,12,8,2]=>[4,5,6,12,9,2,8,1,11,7,3,10]
[8,3,9,5,6,7,1,10,11,12,4,2]=>[4,5,8,6,2,1,3,9,12,11,7,10]
[4,3,7,8,6,10,9,2,5,1,12,11]=>[3,5,1,4,8,9,2,7,6,12,10,11]
[10,3,11,7,6,8,9,4,1,12,5,2]=>[5,4,8,6,12,11,2,1,9,7,3,10]
[4,3,9,10,6,12,8,2,11,7,5,1]=>[3,12,11,5,1,4,8,2,7,10,9,6]
[4,3,7,8,6,9,10,12,11,5,1,2]=>[3,5,1,4,6,7,11,12,2,10,9,8]
[4,3,5,6,7,8,9,10,1,2,12,11]=>[2,1,3,4,5,6,7,12,9,8,10,11]
[10,3,11,5,6,7,8,9,1,12,4,2]=>[4,5,6,7,12,11,2,1,9,8,3,10]
[4,3,9,10,6,7,8,12,11,2,5,1]=>[5,6,3,7,1,4,10,12,2,11,9,8]
[4,3,5,8,9,7,12,10,1,11,6,2]=>[4,5,12,1,6,11,2,3,9,8,10,7]
[4,3,5,6,7,8,9,10,11,12,1,2]=>[2,1,3,4,5,6,7,8,11,9,12,10]
[2,3,4,5,6,1,8,7,10,9,12,11]=>[1,2,3,4,5,7,9,12,6,8,10,11]
[2,3,4,5,6,1,8,7,10,11,12,9]=>[1,2,3,4,5,7,9,10,12,6,8,11]
[2,3,4,5,6,1,8,9,10,7,12,11]=>[1,2,3,4,5,7,8,9,12,6,10,11]
[2,3,4,5,6,1,10,9,11,12,7,8]=>[8,7,11,1,2,3,4,5,9,12,6,10]
[2,3,4,5,6,1,8,9,10,11,12,7]=>[1,2,3,4,5,7,8,9,10,12,6,11]
[6,3,4,5,7,8,1,2,10,9,12,11]=>[2,3,4,1,5,9,6,12,7,8,10,11]
[6,3,4,5,7,8,1,2,10,11,12,9]=>[2,3,4,1,5,9,6,10,12,7,8,11]
[8,3,4,5,9,7,1,10,6,2,12,11]=>[9,8,2,3,4,1,6,5,12,7,10,11]
[10,3,4,5,11,7,1,9,6,12,8,2]=>[6,12,9,2,3,4,8,1,11,7,5,10]
[8,3,4,5,9,7,1,10,11,12,6,2]=>[8,6,2,3,4,1,5,9,12,11,7,10]
[6,3,4,5,7,8,9,10,1,2,12,11]=>[2,3,4,1,5,6,7,12,9,8,10,11]
[10,3,4,5,11,7,8,9,1,12,6,2]=>[6,7,12,11,2,3,4,1,9,8,5,10]
[6,3,4,5,9,10,8,12,11,2,7,1]=>[5,1,7,6,10,12,2,3,4,11,9,8]
[6,3,4,5,7,8,9,10,11,12,1,2]=>[2,3,4,1,5,6,7,8,11,9,12,10]
[2,5,4,6,7,1,8,3,10,9,12,11]=>[3,2,4,7,1,5,9,12,6,8,10,11]
[2,5,4,6,7,1,8,3,10,11,12,9]=>[3,2,4,7,1,5,9,10,12,6,8,11]
[8,5,4,6,7,1,9,10,3,2,12,11]=>[3,2,4,7,5,1,9,8,12,6,10,11]
[10,5,4,6,7,1,11,9,3,12,8,2]=>[2,12,3,4,5,9,8,7,1,11,6,10]
[8,5,4,6,7,1,9,10,11,12,3,2]=>[3,2,4,7,5,1,8,9,12,11,6,10]
[2,7,4,8,6,1,9,5,10,3,12,11]=>[8,7,3,2,5,1,4,9,12,6,10,11]
[10,7,4,8,6,1,9,5,11,12,3,2]=>[8,7,3,2,5,4,9,1,12,11,6,10]
[2,9,4,10,6,1,8,5,11,7,12,3]=>[5,10,8,3,7,2,9,1,4,12,6,11]
[2,7,4,8,6,1,9,10,11,5,12,3]=>[7,5,3,2,4,8,10,1,9,12,6,11]
[2,5,4,6,7,8,9,1,10,3,12,11]=>[3,2,4,5,6,9,1,7,12,8,10,11]
[10,5,4,6,7,8,9,1,11,12,3,2]=>[3,2,4,5,6,9,7,1,12,11,8,10]
[2,9,4,10,6,7,8,1,11,5,12,3]=>[5,6,10,9,3,2,7,1,4,12,8,11]
[2,5,4,8,9,7,11,10,3,6,12,1]=>[4,6,2,5,9,10,3,8,1,7,12,11]
[2,5,4,6,7,8,9,10,11,1,12,3]=>[3,2,4,5,6,7,8,12,1,10,9,11]
[2,3,4,5,6,7,8,1,10,9,12,11]=>[1,2,3,4,5,6,7,9,12,8,10,11]
[2,3,4,5,6,7,8,1,10,11,12,9]=>[1,2,3,4,5,6,7,9,10,12,8,11]
[8,3,4,5,6,7,9,10,1,2,12,11]=>[2,3,4,5,6,1,7,12,9,8,10,11]
[10,3,4,5,6,7,11,9,1,12,8,2]=>[12,11,2,3,4,5,6,1,9,8,7,10]
[8,3,4,5,6,7,9,10,11,12,1,2]=>[2,3,4,5,6,1,7,8,11,9,12,10]
[2,7,4,5,6,8,9,1,10,3,12,11]=>[3,4,5,2,6,9,1,7,12,8,10,11]
[10,7,4,5,6,8,9,1,11,12,3,2]=>[3,4,5,2,6,9,7,1,12,11,8,10]
[2,9,4,5,6,10,8,1,11,7,12,3]=>[10,9,3,4,5,2,7,1,6,12,8,11]
[2,7,4,5,6,8,9,10,11,1,12,3]=>[3,4,5,2,6,7,8,12,1,10,9,11]
[2,3,6,5,7,8,1,9,10,4,12,11]=>[4,3,5,8,1,2,6,9,12,7,10,11]
[10,3,6,5,7,8,1,9,11,12,4,2]=>[4,3,5,8,2,6,9,1,12,11,7,10]
[2,9,6,5,7,8,1,10,11,4,12,3]=>[4,3,5,8,6,2,10,1,9,12,7,11]
[2,3,8,5,9,7,1,10,6,11,12,4]=>[9,8,4,3,6,1,2,5,10,12,7,11]
[2,3,6,5,7,8,9,10,1,11,12,4]=>[4,3,5,6,7,10,1,2,8,12,9,11]
[2,3,4,5,6,7,8,9,10,1,12,11]=>[1,2,3,4,5,6,7,8,9,12,10,11]
[10,3,4,5,6,7,8,9,11,12,1,2]=>[2,3,4,5,6,7,8,1,11,9,12,10]
[2,9,4,5,6,7,8,10,11,1,12,3]=>[3,4,5,6,7,2,8,12,1,10,9,11]
[2,3,8,5,6,7,9,10,1,11,12,4]=>[4,5,6,3,7,10,1,2,8,12,9,11]
[2,3,4,7,6,8,9,1,10,11,12,5]=>[5,4,6,9,1,2,3,7,10,12,8,11]
[1,4,3,6,5,8,7,12,11,9,10,2]=>[10,12,2,4,6,11,3,5,7,9,1,8]
[1,4,3,6,5,10,9,7,8,12,11,2]=>[12,8,2,4,7,3,5,6,9,11,1,10]
[1,4,3,6,5,12,9,7,11,8,10,2]=>[10,7,12,2,4,8,11,3,5,9,1,6]
[1,4,3,6,5,12,11,10,7,8,9,2]=>[9,10,12,11,2,4,8,3,5,7,1,6]
[1,4,3,8,7,5,6,10,9,12,11,2]=>[8,5,2,4,12,3,6,7,9,11,1,10]
[1,4,3,8,7,5,6,12,11,9,10,2]=>[5,4,10,12,2,11,3,6,7,9,1,8]
[1,4,3,10,7,5,9,6,8,12,11,2]=>[5,12,8,2,6,7,3,4,9,11,1,10]
[1,4,3,12,7,5,9,6,11,8,10,2]=>[5,10,7,12,2,6,8,11,3,9,1,4]
[1,4,3,12,7,5,11,10,6,8,9,2]=>[5,9,10,12,11,2,6,8,3,7,1,4]
[1,4,3,10,9,8,5,6,7,12,11,2]=>[12,7,8,6,2,5,3,4,9,11,1,10]
[1,4,3,12,9,8,5,6,11,7,10,2]=>[10,12,7,6,2,5,8,11,3,9,1,4]
[1,4,3,12,11,8,5,10,6,7,9,2]=>[9,10,6,12,7,11,2,8,3,5,1,4]
[1,4,3,12,11,10,9,5,6,7,8,2]=>[8,9,10,12,11,7,2,6,3,5,1,4]
[1,6,5,3,4,8,7,10,9,12,11,2]=>[6,3,2,8,12,4,5,7,9,11,1,10]
[1,6,5,3,4,8,7,12,11,9,10,2]=>[3,2,10,12,6,11,4,5,7,9,1,8]
[1,6,5,3,4,10,9,7,8,12,11,2]=>[2,12,3,8,7,4,5,6,9,11,1,10]
[1,6,5,3,4,12,9,7,11,8,10,2]=>[2,10,3,7,12,8,11,4,5,9,1,6]
[1,6,5,3,4,12,11,10,7,8,9,2]=>[2,9,10,12,3,11,8,4,5,7,1,6]
[1,8,5,3,7,4,6,10,9,12,11,2]=>[3,8,5,12,4,2,6,7,9,11,1,10]
[1,8,5,3,7,4,6,12,11,9,10,2]=>[3,5,10,2,12,11,4,6,7,9,1,8]
[1,10,5,3,7,4,9,6,8,12,11,2]=>[3,5,12,8,4,6,7,2,9,11,1,10]
[1,12,5,3,7,4,9,6,11,8,10,2]=>[3,5,10,7,12,4,6,8,11,9,1,2]
[1,12,5,3,7,4,11,10,6,8,9,2]=>[3,5,9,10,12,11,4,6,8,7,1,2]
[1,10,5,3,9,8,4,6,7,12,11,2]=>[12,3,7,8,6,4,5,2,9,11,1,10]
[1,12,5,3,9,8,4,6,11,7,10,2]=>[10,12,3,7,6,4,5,8,11,9,1,2]
[1,12,5,3,11,8,4,10,6,7,9,2]=>[9,10,3,6,12,7,11,4,8,5,1,2]
[1,12,5,3,11,10,9,4,6,7,8,2]=>[8,9,10,12,3,11,7,4,6,5,1,2]
[1,8,7,6,3,4,5,10,9,12,11,2]=>[8,12,5,4,3,2,6,7,9,11,1,10]
[1,8,7,6,3,4,5,12,11,9,10,2]=>[10,4,3,2,12,11,5,6,7,9,1,8]
[1,10,7,6,3,4,9,5,8,12,11,2]=>[12,8,5,4,3,6,7,2,9,11,1,10]
[1,12,7,6,3,4,9,5,11,8,10,2]=>[10,7,4,3,12,5,6,8,11,9,1,2]
[1,12,7,6,3,4,11,10,5,8,9,2]=>[9,4,3,10,12,11,5,6,8,7,1,2]
[1,10,9,6,3,8,4,5,7,12,11,2]=>[12,7,4,8,5,6,3,2,9,11,1,10]
[1,12,9,6,3,8,4,5,11,7,10,2]=>[10,4,12,7,5,6,3,8,11,9,1,2]
[1,12,11,6,3,8,4,10,5,7,9,2]=>[9,4,10,6,12,5,7,11,8,3,1,2]
[1,12,11,6,3,10,9,4,5,7,8,2]=>[8,4,9,10,12,11,5,7,6,3,1,2]
[1,10,9,8,7,3,4,5,6,12,11,2]=>[12,6,7,8,5,4,3,2,9,11,1,10]
[1,12,9,8,7,3,4,5,11,6,10,2]=>[10,12,6,7,5,4,3,8,11,9,1,2]
[1,12,11,8,7,3,4,10,5,6,9,2]=>[9,10,12,6,5,4,7,11,8,3,1,2]
[1,12,11,10,7,3,9,4,5,6,8,2]=>[8,9,10,5,12,6,11,7,4,3,1,2]
[1,12,11,10,9,8,3,4,5,6,7,2]=>[7,8,9,10,12,11,6,5,4,3,1,2]
[3,1,2,6,5,8,7,10,9,12,11,4]=>[1,4,6,8,12,5,7,9,11,2,3,10]
[3,1,2,6,5,8,7,12,11,9,10,4]=>[10,12,1,4,6,11,5,7,9,2,3,8]
[3,1,2,6,5,10,9,7,8,12,11,4]=>[12,8,1,4,7,5,6,9,11,2,3,10]
[3,1,2,6,5,12,9,7,11,8,10,4]=>[10,7,12,1,4,8,11,5,9,2,3,6]
[3,1,2,6,5,12,11,10,7,8,9,4]=>[9,10,12,11,1,4,8,5,7,2,3,6]
[3,1,2,8,7,5,6,10,9,12,11,4]=>[8,5,1,4,12,6,7,9,11,2,3,10]
[3,1,2,8,7,5,6,12,11,9,10,4]=>[5,4,10,12,1,11,6,7,9,2,3,8]
[3,1,2,10,7,5,9,6,8,12,11,4]=>[5,12,8,1,6,7,4,9,11,2,3,10]
[3,1,2,12,7,5,9,6,11,8,10,4]=>[5,10,7,12,1,6,8,11,9,2,3,4]
[3,1,2,12,7,5,11,10,6,8,9,4]=>[5,9,10,12,11,1,6,8,7,2,3,4]
[3,1,2,10,9,8,5,6,7,12,11,4]=>[12,7,8,6,1,5,4,9,11,2,3,10]
[3,1,2,12,9,8,5,6,11,7,10,4]=>[10,12,7,6,1,5,8,11,9,2,3,4]
[3,1,2,12,11,8,5,10,6,7,9,4]=>[9,10,6,12,7,11,1,8,5,2,3,4]
[3,1,2,12,11,10,9,5,6,7,8,4]=>[8,9,10,12,11,7,1,6,5,2,3,4]
[3,1,5,2,4,8,7,10,9,12,11,6]=>[1,3,6,8,12,7,9,11,2,4,5,10]
[3,1,5,2,4,8,7,12,11,9,10,6]=>[10,12,1,3,6,11,7,9,2,4,5,8]
[3,1,5,2,4,10,9,7,8,12,11,6]=>[12,8,1,3,7,6,9,11,2,4,5,10]
[3,1,5,2,4,12,9,7,11,8,10,6]=>[10,7,12,1,3,8,11,9,2,4,5,6]
[3,1,5,2,4,12,11,10,7,8,9,6]=>[9,10,12,11,1,3,8,7,2,4,5,6]
[3,1,5,2,7,4,6,10,9,12,11,8]=>[1,3,5,8,12,9,11,2,4,6,7,10]
[3,1,5,2,7,4,6,12,11,9,10,8]=>[10,12,1,3,5,11,9,2,4,6,7,8]
[3,1,5,2,7,4,9,6,8,12,11,10]=>[1,3,5,7,12,11,2,4,6,8,9,10]
[3,1,5,2,7,4,9,6,11,8,10,12]=>[1,3,5,10,7,11,2,4,6,8,9,12]
[3,1,5,2,7,4,11,10,6,8,9,12]=>[1,3,5,9,10,11,8,2,4,6,7,12]
[3,1,5,2,9,8,4,6,7,12,11,10]=>[12,11,1,3,7,6,2,4,5,8,9,10]
[3,1,5,2,9,8,4,6,11,7,10,12]=>[10,11,1,3,7,6,2,4,5,8,9,12]
[3,1,5,2,11,8,4,10,6,7,9,12]=>[9,10,1,3,6,11,7,8,2,4,5,12]
[3,1,5,2,11,10,9,4,6,7,8,12]=>[8,9,10,11,1,3,7,6,2,4,5,12]
[3,1,7,6,2,4,5,10,9,12,11,8]=>[8,4,1,3,12,9,11,2,5,6,7,10]
[3,1,7,6,2,4,5,12,11,9,10,8]=>[4,3,10,12,1,11,9,2,5,6,7,8]
[3,1,7,6,2,4,9,5,8,12,11,10]=>[7,4,1,3,12,11,2,5,6,8,9,10]
[3,1,7,6,2,4,9,5,11,8,10,12]=>[10,7,1,4,3,11,2,5,6,8,9,12]
[3,1,7,6,2,4,11,10,5,8,9,12]=>[9,4,1,3,10,11,8,2,5,6,7,12]
[3,1,9,6,2,8,4,5,7,12,11,10]=>[4,12,11,1,7,5,6,2,3,8,9,10]
[3,1,9,6,2,8,4,5,11,7,10,12]=>[10,4,11,1,7,5,6,2,3,8,9,12]
[3,1,11,6,2,8,4,10,5,7,9,12]=>[9,4,10,1,6,11,5,7,8,2,3,12]
[3,1,11,6,2,10,9,4,5,7,8,12]=>[8,4,9,10,11,1,7,5,6,2,3,12]
[3,1,9,8,7,2,4,5,6,12,11,10]=>[12,11,6,7,1,5,4,2,3,8,9,10]
[3,1,9,8,7,2,4,5,11,6,10,12]=>[10,11,6,7,1,5,4,2,3,8,9,12]
[3,1,11,8,7,2,4,10,5,6,9,12]=>[9,10,11,6,1,5,4,7,8,2,3,12]
[3,1,11,10,7,2,9,4,5,6,8,12]=>[8,9,10,5,11,1,6,7,4,2,3,12]
[3,1,11,10,9,8,2,4,5,6,7,12]=>[7,8,9,10,11,6,1,5,4,2,3,12]
[5,4,1,2,3,8,7,10,9,12,11,6]=>[6,2,1,8,12,7,9,11,3,4,5,10]
[5,4,1,2,3,8,7,12,11,9,10,6]=>[2,1,10,12,6,11,7,9,3,4,5,8]
[5,4,1,2,3,10,9,7,8,12,11,6]=>[1,12,2,8,7,6,9,11,3,4,5,10]
[5,4,1,2,3,12,9,7,11,8,10,6]=>[1,10,2,7,12,8,11,9,3,4,5,6]
[5,4,1,2,3,12,11,10,7,8,9,6]=>[1,9,10,12,2,11,8,7,3,4,5,6]
[5,4,1,2,7,3,6,10,9,12,11,8]=>[5,2,1,8,12,9,11,3,4,6,7,10]
[5,4,1,2,7,3,6,12,11,9,10,8]=>[2,1,10,12,5,11,9,3,4,6,7,8]
[5,4,1,2,7,3,9,6,8,12,11,10]=>[5,2,1,7,12,11,3,4,6,8,9,10]
[5,4,1,2,7,3,9,6,11,8,10,12]=>[5,2,1,10,7,11,3,4,6,8,9,12]
[5,4,1,2,7,3,11,10,6,8,9,12]=>[5,2,1,9,10,11,8,3,4,6,7,12]
[5,4,1,2,9,8,3,6,7,12,11,10]=>[1,12,2,11,7,6,3,4,5,8,9,10]
[5,4,1,2,9,8,3,6,11,7,10,12]=>[2,1,10,11,7,6,3,4,5,8,9,12]
[5,4,1,2,11,8,3,10,6,7,9,12]=>[2,1,9,10,6,11,7,8,3,4,5,12]
[5,4,1,2,11,10,9,3,6,7,8,12]=>[2,1,8,9,10,11,7,6,3,4,5,12]
[7,4,1,6,2,3,5,10,9,12,11,8]=>[2,8,4,12,9,1,11,3,5,6,7,10]
[7,4,1,6,2,3,5,12,11,9,10,8]=>[2,4,10,1,12,11,9,3,5,6,7,8]
[7,4,1,6,2,3,9,5,8,12,11,10]=>[2,7,4,12,11,3,1,5,6,8,9,10]
[7,4,1,6,2,3,9,5,11,8,10,12]=>[2,10,7,4,11,3,1,5,6,8,9,12]
[7,4,1,6,2,3,11,10,5,8,9,12]=>[2,9,4,10,1,11,8,3,5,6,7,12]
[9,4,1,6,2,8,3,5,7,12,11,10]=>[2,4,12,11,7,3,5,6,1,8,9,10]
[9,4,1,6,2,8,3,5,11,7,10,12]=>[2,10,4,11,7,3,5,6,1,8,9,12]
[11,4,1,6,2,8,3,10,5,7,9,12]=>[2,9,4,10,6,11,3,5,7,8,1,12]
[11,4,1,6,2,10,9,3,5,7,8,12]=>[2,8,4,9,10,11,7,3,5,6,1,12]
[9,4,1,8,7,2,3,5,6,12,11,10]=>[12,2,11,6,7,5,3,4,1,8,9,10]
[9,4,1,8,7,2,3,5,11,6,10,12]=>[2,10,11,6,7,5,3,4,1,8,9,12]
[11,4,1,8,7,2,3,10,5,6,9,12]=>[2,9,10,11,6,5,3,4,7,8,1,12]
[11,4,1,10,7,2,9,3,5,6,8,12]=>[2,8,9,10,5,11,6,7,3,4,1,12]
[11,4,1,10,9,8,2,3,5,6,7,12]=>[2,7,8,9,10,11,6,5,3,4,1,12]
[7,6,5,1,2,3,4,10,9,12,11,8]=>[8,12,9,3,2,1,11,4,5,6,7,10]
[7,6,5,1,2,3,4,12,11,9,10,8]=>[10,3,2,1,12,11,9,4,5,6,7,8]
[7,6,5,1,2,3,9,4,8,12,11,10]=>[7,12,11,4,3,2,1,5,6,8,9,10]
[7,6,5,1,2,3,9,4,11,8,10,12]=>[10,7,11,4,3,2,1,5,6,8,9,12]
[7,6,5,1,2,3,11,10,4,8,9,12]=>[9,10,3,2,1,11,8,4,5,6,7,12]
[9,6,5,1,2,8,3,4,7,12,11,10]=>[12,11,7,4,3,2,5,6,1,8,9,10]
[9,6,5,1,2,8,3,4,11,7,10,12]=>[10,11,7,4,3,2,5,6,1,8,9,12]
[11,6,5,1,2,8,3,10,4,7,9,12]=>[9,10,6,3,2,11,4,5,7,8,1,12]
[11,6,5,1,2,10,9,3,4,7,8,12]=>[8,9,3,2,10,11,7,4,5,6,1,12]
[9,8,5,1,7,2,3,4,6,12,11,10]=>[12,11,6,3,7,4,5,2,1,8,9,10]
[9,8,5,1,7,2,3,4,11,6,10,12]=>[10,11,6,3,7,4,5,2,1,8,9,12]
[11,8,5,1,7,2,3,10,4,6,9,12]=>[9,10,3,11,6,4,5,2,7,8,1,12]
[11,10,5,1,7,2,9,3,4,6,8,12]=>[8,9,3,10,5,11,4,6,7,2,1,12]
[11,10,5,1,9,8,2,3,4,6,7,12]=>[7,8,3,9,10,11,6,4,5,2,1,12]
[9,8,7,6,1,2,3,4,5,12,11,10]=>[12,11,5,6,7,4,3,2,1,8,9,10]
[9,8,7,6,1,2,3,4,11,5,10,12]=>[10,11,5,6,7,4,3,2,1,8,9,12]
[11,8,7,6,1,2,3,10,4,5,9,12]=>[9,10,11,5,6,4,3,2,7,8,1,12]
[11,10,7,6,1,2,9,3,4,5,8,12]=>[8,9,10,11,5,4,3,6,7,2,1,12]
[11,10,9,6,1,8,2,3,4,5,7,12]=>[7,8,9,10,4,11,5,6,3,2,1,12]
[11,10,9,8,7,1,2,3,4,5,6,12]=>[6,7,8,9,10,11,5,4,3,2,1,12]
[2,4,3,6,5,8,7,10,9,12,11,1]=>[2,4,6,8,12,1,3,5,7,9,11,10]
[12,2,3,4,5,6,7,8,9,10,1,11]=>[2,3,4,5,6,7,8,9,11,10,12,1]
[3,12,1,4,5,6,7,8,9,10,11,2]=>[1,4,5,6,7,8,9,10,12,3,11,2]
[12,3,4,5,6,7,8,9,10,11,1,2]=>[2,3,4,5,6,7,8,11,9,12,10,1]
[2,1,4,3,6,5,8,7,11,10,12,9]=>[10,1,3,5,7,9,12,2,4,6,8,11]
[2,1,4,3,6,5,9,8,10,7,12,11]=>[8,1,3,5,7,9,12,2,4,6,10,11]
[2,1,4,3,6,5,9,8,11,10,12,7]=>[7,10,1,3,5,8,9,12,2,4,6,11]
[2,1,4,3,6,5,10,9,11,8,12,7]=>[8,7,10,1,3,5,9,12,2,4,6,11]
[2,1,4,3,7,6,8,5,10,9,12,11]=>[6,1,3,5,7,9,12,2,4,8,10,11]
[2,1,4,3,7,6,8,5,11,10,12,9]=>[5,10,1,3,6,7,9,12,2,4,8,11]
[2,1,4,3,7,6,9,8,10,5,12,11]=>[5,8,1,3,6,7,9,12,2,4,10,11]
[2,1,4,3,7,6,9,8,11,10,12,5]=>[5,7,10,1,3,6,8,9,12,2,4,11]
[2,1,4,3,7,6,10,9,11,8,12,5]=>[8,5,7,10,1,3,6,9,12,2,4,11]
[2,1,4,3,8,7,9,6,10,5,12,11]=>[6,5,8,1,3,7,9,12,2,4,10,11]
[2,1,4,3,8,7,9,6,11,10,12,5]=>[6,5,7,10,1,3,8,9,12,2,4,11]
[2,1,4,3,8,7,10,9,11,6,12,5]=>[5,8,6,7,10,1,3,9,12,2,4,11]
[2,1,4,3,9,8,10,7,11,6,12,5]=>[6,5,8,7,10,1,3,9,12,2,4,11]
[2,1,5,4,6,3,8,7,10,9,12,11]=>[4,1,3,5,7,9,12,2,6,8,10,11]
[2,1,5,4,6,3,8,7,11,10,12,9]=>[3,10,1,4,5,7,9,12,2,6,8,11]
[2,1,5,4,6,3,9,8,10,7,12,11]=>[3,8,1,4,5,7,9,12,2,6,10,11]
[2,1,5,4,6,3,9,8,11,10,12,7]=>[3,7,10,1,4,5,8,9,12,2,6,11]
[2,1,5,4,6,3,10,9,11,8,12,7]=>[8,3,7,10,1,4,5,9,12,2,6,11]
[2,1,5,4,7,6,8,3,10,9,12,11]=>[3,6,1,4,5,7,9,12,2,8,10,11]
[2,1,5,4,7,6,8,3,11,10,12,9]=>[3,5,10,1,4,6,7,9,12,2,8,11]
[2,1,5,4,7,6,9,8,10,3,12,11]=>[3,5,8,1,4,6,7,9,12,2,10,11]
[2,1,5,4,7,6,9,8,11,10,12,3]=>[3,5,7,10,1,4,6,8,9,12,2,11]
[2,1,5,4,7,6,10,9,11,8,12,3]=>[8,3,5,7,10,1,4,6,9,12,2,11]
[2,1,5,4,8,7,9,6,10,3,12,11]=>[6,3,5,8,1,4,7,9,12,2,10,11]
[2,1,5,4,8,7,9,6,11,10,12,3]=>[6,3,5,7,10,1,4,8,9,12,2,11]
[2,1,5,4,8,7,10,9,11,6,12,3]=>[5,8,3,6,7,10,1,4,9,12,2,11]
[2,1,5,4,9,8,10,7,11,6,12,3]=>[6,5,8,3,7,10,1,4,9,12,2,11]
[2,1,6,5,7,4,8,3,10,9,12,11]=>[4,3,6,1,5,7,9,12,2,8,10,11]
[2,1,6,5,7,4,8,3,11,10,12,9]=>[4,3,5,10,1,6,7,9,12,2,8,11]
[2,1,6,5,7,4,9,8,10,3,12,11]=>[4,3,5,8,1,6,7,9,12,2,10,11]
[2,1,6,5,7,4,9,8,11,10,12,3]=>[4,3,5,7,10,1,6,8,9,12,2,11]
[2,1,6,5,7,4,10,9,11,8,12,3]=>[3,8,4,5,7,10,1,6,9,12,2,11]
[2,1,6,5,8,7,9,4,10,3,12,11]=>[3,6,4,5,8,1,7,9,12,2,10,11]
[2,1,6,5,8,7,9,4,11,10,12,3]=>[3,6,4,5,7,10,1,8,9,12,2,11]
[2,1,6,5,8,7,10,9,11,4,12,3]=>[3,5,8,4,6,7,10,1,9,12,2,11]
[2,1,6,5,9,8,10,7,11,4,12,3]=>[6,3,5,8,4,7,10,1,9,12,2,11]
[2,1,7,6,8,5,9,4,10,3,12,11]=>[4,3,6,5,8,1,7,9,12,2,10,11]
[2,1,7,6,8,5,9,4,11,10,12,3]=>[4,3,6,5,7,10,1,8,9,12,2,11]
[2,1,7,6,8,5,10,9,11,4,12,3]=>[4,3,5,8,6,7,10,1,9,12,2,11]
[2,1,7,6,9,8,10,5,11,4,12,3]=>[3,6,4,5,8,7,10,1,9,12,2,11]
[2,1,8,7,9,6,10,5,11,4,12,3]=>[4,3,6,5,8,7,10,1,9,12,2,11]
[3,2,4,1,6,5,8,7,10,9,12,11]=>[2,1,3,5,7,9,12,4,6,8,10,11]
[3,2,4,1,6,5,8,7,11,10,12,9]=>[1,10,2,3,5,7,9,12,4,6,8,11]
[3,2,4,1,6,5,9,8,10,7,12,11]=>[1,8,2,3,5,7,9,12,4,6,10,11]
[3,2,4,1,6,5,9,8,11,10,12,7]=>[1,7,10,2,3,5,8,9,12,4,6,11]
[3,2,4,1,6,5,10,9,11,8,12,7]=>[8,1,7,10,2,3,5,9,12,4,6,11]
[3,2,4,1,7,6,8,5,10,9,12,11]=>[1,6,2,3,5,7,9,12,4,8,10,11]
[3,2,4,1,7,6,8,5,11,10,12,9]=>[1,5,10,2,3,6,7,9,12,4,8,11]
[3,2,4,1,7,6,9,8,10,5,12,11]=>[1,5,8,2,3,6,7,9,12,4,10,11]
[3,2,4,1,7,6,9,8,11,10,12,5]=>[1,5,7,10,2,3,6,8,9,12,4,11]
[3,2,4,1,7,6,10,9,11,8,12,5]=>[8,1,5,7,10,2,3,6,9,12,4,11]
[3,2,4,1,8,7,9,6,10,5,12,11]=>[6,1,5,8,2,3,7,9,12,4,10,11]
[3,2,4,1,8,7,9,6,11,10,12,5]=>[6,1,5,7,10,2,3,8,9,12,4,11]
[3,2,4,1,8,7,10,9,11,6,12,5]=>[5,8,1,6,7,10,2,3,9,12,4,11]
[3,2,4,1,9,8,10,7,11,6,12,5]=>[6,5,8,1,7,10,2,3,9,12,4,11]
[3,2,5,4,6,1,8,7,10,9,12,11]=>[1,4,2,3,5,7,9,12,6,8,10,11]
[3,2,5,4,6,1,8,7,11,10,12,9]=>[1,3,10,2,4,5,7,9,12,6,8,11]
[3,2,5,4,6,1,9,8,10,7,12,11]=>[1,3,8,2,4,5,7,9,12,6,10,11]
[3,2,5,4,6,1,9,8,11,10,12,7]=>[1,3,7,10,2,4,5,8,9,12,6,11]
[3,2,5,4,6,1,10,9,11,8,12,7]=>[8,1,3,7,10,2,4,5,9,12,6,11]
[3,2,5,4,7,6,8,1,10,9,12,11]=>[1,3,6,2,4,5,7,9,12,8,10,11]
[3,2,5,4,7,6,8,1,11,10,12,9]=>[1,3,5,10,2,4,6,7,9,12,8,11]
[3,2,5,4,7,6,9,8,10,1,12,11]=>[1,3,5,8,2,4,6,7,9,12,10,11]
[3,2,5,4,7,6,9,8,11,10,12,1]=>[1,3,5,7,10,2,4,6,8,9,12,11]
[3,2,5,4,7,6,10,9,11,8,12,1]=>[8,1,3,5,7,10,2,4,6,9,12,11]
[3,2,5,4,8,7,9,6,10,1,12,11]=>[6,1,3,5,8,2,4,7,9,12,10,11]
[3,2,5,4,8,7,9,6,11,10,12,1]=>[6,1,3,5,7,10,2,4,8,9,12,11]
[3,2,5,4,8,7,10,9,11,6,12,1]=>[5,8,1,3,6,7,10,2,4,9,12,11]
[3,2,5,4,9,8,10,7,11,6,12,1]=>[6,5,8,1,3,7,10,2,4,9,12,11]
[3,2,6,5,7,4,8,1,10,9,12,11]=>[4,1,3,6,2,5,7,9,12,8,10,11]
[3,2,6,5,7,4,8,1,11,10,12,9]=>[4,1,3,5,10,2,6,7,9,12,8,11]
[3,2,6,5,7,4,9,8,10,1,12,11]=>[4,1,3,5,8,2,6,7,9,12,10,11]
[3,2,6,5,7,4,9,8,11,10,12,1]=>[4,1,3,5,7,10,2,6,8,9,12,11]
[3,2,6,5,7,4,10,9,11,8,12,1]=>[3,8,1,4,5,7,10,2,6,9,12,11]
[3,2,6,5,8,7,9,4,10,1,12,11]=>[3,6,1,4,5,8,2,7,9,12,10,11]
[3,2,6,5,8,7,9,4,11,10,12,1]=>[3,6,1,4,5,7,10,2,8,9,12,11]
[3,2,6,5,8,7,10,9,11,4,12,1]=>[3,5,8,1,4,6,7,10,2,9,12,11]
[3,2,6,5,9,8,10,7,11,4,12,1]=>[6,3,5,8,1,4,7,10,2,9,12,11]
[3,2,7,6,8,5,9,4,10,1,12,11]=>[4,3,6,1,5,8,2,7,9,12,10,11]
[3,2,7,6,8,5,9,4,11,10,12,1]=>[4,3,6,1,5,7,10,2,8,9,12,11]
[3,2,7,6,8,5,10,9,11,4,12,1]=>[4,3,5,8,1,6,7,10,2,9,12,11]
[3,2,7,6,9,8,10,5,11,4,12,1]=>[3,6,4,5,8,1,7,10,2,9,12,11]
[3,2,8,7,9,6,10,5,11,4,12,1]=>[4,3,6,5,8,1,7,10,2,9,12,11]
[4,3,5,2,6,1,8,7,10,9,12,11]=>[2,1,4,3,5,7,9,12,6,8,10,11]
[4,3,5,2,6,1,8,7,11,10,12,9]=>[2,1,3,10,4,5,7,9,12,6,8,11]
[4,3,5,2,6,1,9,8,10,7,12,11]=>[2,1,3,8,4,5,7,9,12,6,10,11]
[4,3,5,2,6,1,9,8,11,10,12,7]=>[2,1,3,7,10,4,5,8,9,12,6,11]
[4,3,5,2,6,1,10,9,11,8,12,7]=>[1,8,2,3,7,10,4,5,9,12,6,11]
[4,3,5,2,7,6,8,1,10,9,12,11]=>[2,1,3,6,4,5,7,9,12,8,10,11]
[4,3,5,2,7,6,8,1,11,10,12,9]=>[2,1,3,5,10,4,6,7,9,12,8,11]
[4,3,5,2,7,6,9,8,10,1,12,11]=>[2,1,3,5,8,4,6,7,9,12,10,11]
[4,3,5,2,7,6,9,8,11,10,12,1]=>[2,1,3,5,7,10,4,6,8,9,12,11]
[4,3,5,2,7,6,10,9,11,8,12,1]=>[1,8,2,3,5,7,10,4,6,9,12,11]
[4,3,5,2,8,7,9,6,10,1,12,11]=>[1,6,2,3,5,8,4,7,9,12,10,11]
[4,3,5,2,8,7,9,6,11,10,12,1]=>[1,6,2,3,5,7,10,4,8,9,12,11]
[4,3,5,2,8,7,10,9,11,6,12,1]=>[1,5,8,2,3,6,7,10,4,9,12,11]
[4,3,5,2,9,8,10,7,11,6,12,1]=>[6,1,5,8,2,3,7,10,4,9,12,11]
[4,3,6,5,7,2,8,1,10,9,12,11]=>[1,4,2,3,6,5,7,9,12,8,10,11]
[4,3,6,5,7,2,8,1,11,10,12,9]=>[1,4,2,3,5,10,6,7,9,12,8,11]
[4,3,6,5,7,2,9,8,10,1,12,11]=>[1,4,2,3,5,8,6,7,9,12,10,11]
[4,3,6,5,7,2,9,8,11,10,12,1]=>[1,4,2,3,5,7,10,6,8,9,12,11]
[4,3,6,5,7,2,10,9,11,8,12,1]=>[1,3,8,2,4,5,7,10,6,9,12,11]
[4,3,6,5,8,7,9,2,10,1,12,11]=>[1,3,6,2,4,5,8,7,9,12,10,11]
[4,3,6,5,8,7,9,2,11,10,12,1]=>[1,3,6,2,4,5,7,10,8,9,12,11]
[4,3,6,5,8,7,10,9,11,2,12,1]=>[1,3,5,8,2,4,6,7,10,9,12,11]
[4,3,6,5,9,8,10,7,11,2,12,1]=>[6,1,3,5,8,2,4,7,10,9,12,11]
[4,3,7,6,8,5,9,2,10,1,12,11]=>[4,1,3,6,2,5,8,7,9,12,10,11]
[4,3,7,6,8,5,9,2,11,10,12,1]=>[4,1,3,6,2,5,7,10,8,9,12,11]
[4,3,7,6,8,5,10,9,11,2,12,1]=>[4,1,3,5,8,2,6,7,10,9,12,11]
[4,3,7,6,9,8,10,5,11,2,12,1]=>[3,6,1,4,5,8,2,7,10,9,12,11]
[4,3,8,7,9,6,10,5,11,2,12,1]=>[4,3,6,1,5,8,2,7,10,9,12,11]
[5,4,6,3,7,2,8,1,10,9,12,11]=>[2,1,4,3,6,5,7,9,12,8,10,11]
[5,4,6,3,7,2,8,1,11,10,12,9]=>[2,1,4,3,5,10,6,7,9,12,8,11]
[5,4,6,3,7,2,9,8,10,1,12,11]=>[2,1,4,3,5,8,6,7,9,12,10,11]
[5,4,6,3,7,2,9,8,11,10,12,1]=>[2,1,4,3,5,7,10,6,8,9,12,11]
[5,4,6,3,7,2,10,9,11,8,12,1]=>[2,1,3,8,4,5,7,10,6,9,12,11]
[5,4,6,3,8,7,9,2,10,1,12,11]=>[2,1,3,6,4,5,8,7,9,12,10,11]
[5,4,6,3,8,7,9,2,11,10,12,1]=>[2,1,3,6,4,5,7,10,8,9,12,11]
[5,4,6,3,8,7,10,9,11,2,12,1]=>[2,1,3,5,8,4,6,7,10,9,12,11]
[5,4,6,3,9,8,10,7,11,2,12,1]=>[1,6,2,3,5,8,4,7,10,9,12,11]
[5,4,7,6,8,3,9,2,10,1,12,11]=>[1,4,2,3,6,5,8,7,9,12,10,11]
[5,4,7,6,8,3,9,2,11,10,12,1]=>[1,4,2,3,6,5,7,10,8,9,12,11]
[5,4,7,6,8,3,10,9,11,2,12,1]=>[1,4,2,3,5,8,6,7,10,9,12,11]
[5,4,7,6,9,8,10,3,11,2,12,1]=>[1,3,6,2,4,5,8,7,10,9,12,11]
[5,4,8,7,9,6,10,3,11,2,12,1]=>[4,1,3,6,2,5,8,7,10,9,12,11]
[6,5,7,4,8,3,9,2,10,1,12,11]=>[2,1,4,3,6,5,8,7,9,12,10,11]
[6,5,7,4,8,3,9,2,11,10,12,1]=>[2,1,4,3,6,5,7,10,8,9,12,11]
[6,5,7,4,8,3,10,9,11,2,12,1]=>[2,1,4,3,5,8,6,7,10,9,12,11]
[6,5,7,4,9,8,10,3,11,2,12,1]=>[2,1,3,6,4,5,8,7,10,9,12,11]
[6,5,8,7,9,4,10,3,11,2,12,1]=>[1,4,2,3,6,5,8,7,10,9,12,11]
[7,6,8,5,9,4,10,3,11,2,12,1]=>[2,1,4,3,6,5,8,7,10,9,12,11]
[2,1,4,3,6,5,8,7,11,9,12,10]=>[12,1,3,5,7,10,2,4,6,8,9,11]
[2,1,4,3,6,5,9,7,10,8,12,11]=>[9,1,3,5,7,12,2,4,6,8,10,11]
[2,1,4,3,6,5,9,7,11,8,12,10]=>[7,12,1,3,5,10,2,4,6,8,9,11]
[2,1,4,3,6,5,10,7,11,8,12,9]=>[12,10,1,3,5,8,2,4,6,7,9,11]
[2,1,4,3,7,5,8,6,10,9,12,11]=>[7,1,3,5,9,12,2,4,6,8,10,11]
[2,1,4,3,7,5,8,6,11,9,12,10]=>[5,12,1,3,7,10,2,4,6,8,9,11]
[2,1,4,3,7,5,9,6,10,8,12,11]=>[5,9,1,3,7,12,2,4,6,8,10,11]
[2,1,4,3,7,5,9,6,11,8,12,10]=>[5,7,12,1,3,10,2,4,6,8,9,11]
[2,1,4,3,7,5,10,6,11,8,12,9]=>[12,5,10,1,3,8,2,4,6,7,9,11]
[2,1,4,3,8,5,9,6,10,7,12,11]=>[9,7,1,3,5,12,2,4,6,8,10,11]
[2,1,4,3,8,5,9,6,11,7,12,10]=>[7,5,12,1,3,10,2,4,6,8,9,11]
[2,1,4,3,8,5,10,6,11,7,12,9]=>[5,12,10,1,3,8,2,4,6,7,9,11]
[2,1,4,3,9,5,10,6,11,7,12,8]=>[12,10,8,1,3,6,2,4,5,7,9,11]
[2,1,5,3,6,4,8,7,10,9,12,11]=>[5,1,3,7,9,12,2,4,6,8,10,11]
[2,1,5,3,6,4,8,7,11,9,12,10]=>[3,12,1,5,7,10,2,4,6,8,9,11]
[2,1,5,3,6,4,9,7,10,8,12,11]=>[3,9,1,5,7,12,2,4,6,8,10,11]
[2,1,5,3,6,4,9,7,11,8,12,10]=>[3,7,12,1,5,10,2,4,6,8,9,11]
[2,1,5,3,6,4,10,7,11,8,12,9]=>[12,3,10,1,5,8,2,4,6,7,9,11]
[2,1,5,3,7,4,8,6,10,9,12,11]=>[3,7,1,5,9,12,2,4,6,8,10,11]
[2,1,5,3,7,4,8,6,11,9,12,10]=>[3,5,12,1,7,10,2,4,6,8,9,11]
[2,1,5,3,7,4,9,6,10,8,12,11]=>[3,5,9,1,7,12,2,4,6,8,10,11]
[2,1,5,3,7,4,9,6,11,8,12,10]=>[3,5,7,12,1,10,2,4,6,8,9,11]
[2,1,5,3,7,4,10,6,11,8,12,9]=>[12,3,5,10,1,8,2,4,6,7,9,11]
[2,1,5,3,8,4,9,6,10,7,12,11]=>[9,3,7,1,5,12,2,4,6,8,10,11]
[2,1,5,3,8,4,9,6,11,7,12,10]=>[7,3,5,12,1,10,2,4,6,8,9,11]
[2,1,5,3,8,4,10,6,11,7,12,9]=>[5,12,3,10,1,8,2,4,6,7,9,11]
[2,1,5,3,9,4,10,6,11,7,12,8]=>[12,10,3,8,1,6,2,4,5,7,9,11]
[2,1,6,3,7,4,8,5,10,9,12,11]=>[7,5,1,3,9,12,2,4,6,8,10,11]
[2,1,6,3,7,4,8,5,11,9,12,10]=>[5,3,12,1,7,10,2,4,6,8,9,11]
[2,1,6,3,7,4,9,5,10,8,12,11]=>[5,3,9,1,7,12,2,4,6,8,10,11]
[2,1,6,3,7,4,9,5,11,8,12,10]=>[5,3,7,12,1,10,2,4,6,8,9,11]
[2,1,6,3,7,4,10,5,11,8,12,9]=>[3,12,5,10,1,8,2,4,6,7,9,11]
[2,1,6,3,8,4,9,5,10,7,12,11]=>[3,9,7,1,5,12,2,4,6,8,10,11]
[2,1,6,3,8,4,9,5,11,7,12,10]=>[3,7,5,12,1,10,2,4,6,8,9,11]
[2,1,6,3,8,4,10,5,11,7,12,9]=>[3,5,12,10,1,8,2,4,6,7,9,11]
[2,1,6,3,9,4,10,5,11,7,12,8]=>[12,3,10,8,1,6,2,4,5,7,9,11]
[2,1,7,3,8,4,9,5,10,6,12,11]=>[9,7,5,1,3,12,2,4,6,8,10,11]
[2,1,7,3,8,4,9,5,11,6,12,10]=>[7,5,3,12,1,10,2,4,6,8,9,11]
[2,1,7,3,8,4,10,5,11,6,12,9]=>[5,3,12,10,1,8,2,4,6,7,9,11]
[2,1,7,3,9,4,10,5,11,6,12,8]=>[3,12,10,8,1,6,2,4,5,7,9,11]
[2,1,8,3,9,4,10,5,11,6,12,7]=>[12,10,8,6,1,4,2,3,5,7,9,11]
[3,1,4,2,6,5,8,7,10,9,12,11]=>[3,1,5,7,9,12,2,4,6,8,10,11]
[3,1,4,2,6,5,8,7,11,9,12,10]=>[1,12,3,5,7,10,2,4,6,8,9,11]
[3,1,4,2,6,5,9,7,10,8,12,11]=>[1,9,3,5,7,12,2,4,6,8,10,11]
[3,1,4,2,6,5,9,7,11,8,12,10]=>[1,7,12,3,5,10,2,4,6,8,9,11]
[3,1,4,2,6,5,10,7,11,8,12,9]=>[12,1,10,3,5,8,2,4,6,7,9,11]
[3,1,4,2,7,5,8,6,10,9,12,11]=>[1,7,3,5,9,12,2,4,6,8,10,11]
[3,1,4,2,7,5,8,6,11,9,12,10]=>[1,5,12,3,7,10,2,4,6,8,9,11]
[3,1,4,2,7,5,9,6,10,8,12,11]=>[1,5,9,3,7,12,2,4,6,8,10,11]
[3,1,4,2,7,5,9,6,11,8,12,10]=>[1,5,7,12,3,10,2,4,6,8,9,11]
[3,1,4,2,7,5,10,6,11,8,12,9]=>[12,1,5,10,3,8,2,4,6,7,9,11]
[3,1,4,2,8,5,9,6,10,7,12,11]=>[9,1,7,3,5,12,2,4,6,8,10,11]
[3,1,4,2,8,5,9,6,11,7,12,10]=>[7,1,5,12,3,10,2,4,6,8,9,11]
[3,1,4,2,8,5,10,6,11,7,12,9]=>[5,12,1,10,3,8,2,4,6,7,9,11]
[3,1,4,2,9,5,10,6,11,7,12,8]=>[12,10,1,8,3,6,2,4,5,7,9,11]
[3,1,5,2,6,4,8,7,10,9,12,11]=>[1,5,3,7,9,12,2,4,6,8,10,11]
[3,1,5,2,6,4,8,7,11,9,12,10]=>[1,3,12,5,7,10,2,4,6,8,9,11]
[3,1,5,2,6,4,9,7,10,8,12,11]=>[1,3,9,5,7,12,2,4,6,8,10,11]
[3,1,5,2,6,4,9,7,11,8,12,10]=>[1,3,7,12,5,10,2,4,6,8,9,11]
[3,1,5,2,6,4,10,7,11,8,12,9]=>[12,1,3,10,5,8,2,4,6,7,9,11]
[3,1,5,2,7,4,8,6,10,9,12,11]=>[1,3,7,5,9,12,2,4,6,8,10,11]
[3,1,5,2,7,4,8,6,11,9,12,10]=>[1,3,5,12,7,10,2,4,6,8,9,11]
[3,1,5,2,7,4,9,6,10,8,12,11]=>[1,3,5,9,7,12,2,4,6,8,10,11]
[3,1,5,2,7,4,9,6,11,8,12,10]=>[1,3,5,7,12,10,2,4,6,8,9,11]
[3,1,5,2,7,4,10,6,11,8,12,9]=>[12,1,3,5,10,8,2,4,6,7,9,11]
[3,1,5,2,8,4,9,6,10,7,12,11]=>[9,1,3,7,5,12,2,4,6,8,10,11]
[3,1,5,2,8,4,9,6,11,7,12,10]=>[7,1,3,5,12,10,2,4,6,8,9,11]
[3,1,5,2,8,4,10,6,11,7,12,9]=>[5,12,1,3,10,8,2,4,6,7,9,11]
[3,1,5,2,9,4,10,6,11,7,12,8]=>[12,10,1,3,8,6,2,4,5,7,9,11]
[3,1,6,2,7,4,8,5,10,9,12,11]=>[7,1,5,3,9,12,2,4,6,8,10,11]
[3,1,6,2,7,4,8,5,11,9,12,10]=>[5,1,3,12,7,10,2,4,6,8,9,11]
[3,1,6,2,7,4,9,5,10,8,12,11]=>[5,1,3,9,7,12,2,4,6,8,10,11]
[3,1,6,2,7,4,9,5,11,8,12,10]=>[5,1,3,7,12,10,2,4,6,8,9,11]
[3,1,6,2,7,4,10,5,11,8,12,9]=>[3,12,1,5,10,8,2,4,6,7,9,11]
[3,1,6,2,8,4,9,5,10,7,12,11]=>[3,9,1,7,5,12,2,4,6,8,10,11]
[3,1,6,2,8,4,9,5,11,7,12,10]=>[3,7,1,5,12,10,2,4,6,8,9,11]
[3,1,6,2,8,4,10,5,11,7,12,9]=>[3,5,12,1,10,8,2,4,6,7,9,11]
[3,1,6,2,9,4,10,5,11,7,12,8]=>[12,3,10,1,8,6,2,4,5,7,9,11]
[3,1,7,2,8,4,9,5,10,6,12,11]=>[9,7,1,5,3,12,2,4,6,8,10,11]
[3,1,7,2,8,4,9,5,11,6,12,10]=>[7,5,1,3,12,10,2,4,6,8,9,11]
[3,1,7,2,8,4,10,5,11,6,12,9]=>[5,3,12,1,10,8,2,4,6,7,9,11]
[3,1,7,2,9,4,10,5,11,6,12,8]=>[3,12,10,1,8,6,2,4,5,7,9,11]
[3,1,8,2,9,4,10,5,11,6,12,7]=>[12,10,8,1,6,4,2,3,5,7,9,11]
[4,1,5,2,6,3,8,7,10,9,12,11]=>[5,3,1,7,9,12,2,4,6,8,10,11]
[4,1,5,2,6,3,8,7,11,9,12,10]=>[3,1,12,5,7,10,2,4,6,8,9,11]
[4,1,5,2,6,3,9,7,10,8,12,11]=>[3,1,9,5,7,12,2,4,6,8,10,11]
[4,1,5,2,6,3,9,7,11,8,12,10]=>[3,1,7,12,5,10,2,4,6,8,9,11]
[4,1,5,2,6,3,10,7,11,8,12,9]=>[1,12,3,10,5,8,2,4,6,7,9,11]
[4,1,5,2,7,3,8,6,10,9,12,11]=>[3,1,7,5,9,12,2,4,6,8,10,11]
[4,1,5,2,7,3,8,6,11,9,12,10]=>[3,1,5,12,7,10,2,4,6,8,9,11]
[4,1,5,2,7,3,9,6,10,8,12,11]=>[3,1,5,9,7,12,2,4,6,8,10,11]
[4,1,5,2,7,3,9,6,11,8,12,10]=>[3,1,5,7,12,10,2,4,6,8,9,11]
[4,1,5,2,7,3,10,6,11,8,12,9]=>[1,12,3,5,10,8,2,4,6,7,9,11]
[4,1,5,2,8,3,9,6,10,7,12,11]=>[1,9,3,7,5,12,2,4,6,8,10,11]
[4,1,5,2,8,3,9,6,11,7,12,10]=>[1,7,3,5,12,10,2,4,6,8,9,11]
[4,1,5,2,8,3,10,6,11,7,12,9]=>[1,5,12,3,10,8,2,4,6,7,9,11]
[4,1,5,2,9,3,10,6,11,7,12,8]=>[12,1,10,3,8,6,2,4,5,7,9,11]
[4,1,6,2,7,3,8,5,10,9,12,11]=>[1,7,5,3,9,12,2,4,6,8,10,11]
[4,1,6,2,7,3,8,5,11,9,12,10]=>[1,5,3,12,7,10,2,4,6,8,9,11]
[4,1,6,2,7,3,9,5,10,8,12,11]=>[1,5,3,9,7,12,2,4,6,8,10,11]
[4,1,6,2,7,3,9,5,11,8,12,10]=>[1,5,3,7,12,10,2,4,6,8,9,11]
[4,1,6,2,7,3,10,5,11,8,12,9]=>[1,3,12,5,10,8,2,4,6,7,9,11]
[4,1,6,2,8,3,9,5,10,7,12,11]=>[1,3,9,7,5,12,2,4,6,8,10,11]
[4,1,6,2,8,3,9,5,11,7,12,10]=>[1,3,7,5,12,10,2,4,6,8,9,11]
[4,1,6,2,8,3,10,5,11,7,12,9]=>[1,3,5,12,10,8,2,4,6,7,9,11]
[4,1,6,2,9,3,10,5,11,7,12,8]=>[12,1,3,10,8,6,2,4,5,7,9,11]
[4,1,7,2,8,3,9,5,10,6,12,11]=>[9,1,7,5,3,12,2,4,6,8,10,11]
[4,1,7,2,8,3,9,5,11,6,12,10]=>[7,1,5,3,12,10,2,4,6,8,9,11]
[4,1,7,2,8,3,10,5,11,6,12,9]=>[5,1,3,12,10,8,2,4,6,7,9,11]
[4,1,7,2,9,3,10,5,11,6,12,8]=>[3,12,1,10,8,6,2,4,5,7,9,11]
[4,1,8,2,9,3,10,5,11,6,12,7]=>[12,10,1,8,6,4,2,3,5,7,9,11]
[5,1,6,2,7,3,8,4,10,9,12,11]=>[7,5,3,1,9,12,2,4,6,8,10,11]
[5,1,6,2,7,3,8,4,11,9,12,10]=>[5,3,1,12,7,10,2,4,6,8,9,11]
[5,1,6,2,7,3,9,4,10,8,12,11]=>[5,3,1,9,7,12,2,4,6,8,10,11]
[5,1,6,2,7,3,9,4,11,8,12,10]=>[5,3,1,7,12,10,2,4,6,8,9,11]
[5,1,6,2,7,3,10,4,11,8,12,9]=>[3,1,12,5,10,8,2,4,6,7,9,11]
[5,1,6,2,8,3,9,4,10,7,12,11]=>[3,1,9,7,5,12,2,4,6,8,10,11]
[5,1,6,2,8,3,9,4,11,7,12,10]=>[3,1,7,5,12,10,2,4,6,8,9,11]
[5,1,6,2,8,3,10,4,11,7,12,9]=>[3,1,5,12,10,8,2,4,6,7,9,11]
[5,1,6,2,9,3,10,4,11,7,12,8]=>[1,12,3,10,8,6,2,4,5,7,9,11]
[5,1,7,2,8,3,9,4,10,6,12,11]=>[1,9,7,5,3,12,2,4,6,8,10,11]
[5,1,7,2,8,3,9,4,11,6,12,10]=>[1,7,5,3,12,10,2,4,6,8,9,11]
[5,1,7,2,8,3,10,4,11,6,12,9]=>[1,5,3,12,10,8,2,4,6,7,9,11]
[5,1,7,2,9,3,10,4,11,6,12,8]=>[1,3,12,10,8,6,2,4,5,7,9,11]
[5,1,8,2,9,3,10,4,11,6,12,7]=>[12,1,10,8,6,4,2,3,5,7,9,11]
[6,1,7,2,8,3,9,4,10,5,12,11]=>[9,7,5,3,1,12,2,4,6,8,10,11]
[6,1,7,2,8,3,9,4,11,5,12,10]=>[7,5,3,1,12,10,2,4,6,8,9,11]
[6,1,7,2,8,3,10,4,11,5,12,9]=>[5,3,1,12,10,8,2,4,6,7,9,11]
[6,1,7,2,9,3,10,4,11,5,12,8]=>[3,1,12,10,8,6,2,4,5,7,9,11]
[6,1,8,2,9,3,10,4,11,5,12,7]=>[1,12,10,8,6,4,2,3,5,7,9,11]
[1,8,2,9,3,10,4,11,5,12,6,7]=>[11,12,9,7,5,3,1,2,4,6,8,10]
[1,8,2,9,3,10,4,11,12,5,6,7]=>[10,11,8,6,4,2,12,1,3,5,7,9]
[1,8,2,9,3,10,11,4,5,12,6,7]=>[11,12,8,6,4,2,9,1,3,5,7,10]
[1,8,2,9,3,10,11,4,12,5,6,7]=>[10,11,6,4,2,12,8,1,3,5,7,9]
[1,8,2,9,3,10,11,12,4,5,6,7]=>[9,10,6,4,2,11,7,12,1,3,5,8]
[1,8,2,9,10,3,4,11,5,12,6,7]=>[11,12,9,6,4,2,7,1,3,5,8,10]
[1,8,2,9,10,3,4,11,12,5,6,7]=>[10,11,8,4,2,12,6,1,3,5,7,9]
[1,8,2,9,10,3,11,4,5,12,6,7]=>[11,12,8,4,2,9,6,1,3,5,7,10]
[1,8,2,9,10,3,11,4,12,5,6,7]=>[10,11,4,2,12,8,6,1,3,5,7,9]
[1,8,2,9,10,3,11,12,4,5,6,7]=>[9,10,4,2,11,7,5,12,1,3,6,8]
[1,8,2,9,10,11,3,4,5,12,6,7]=>[11,12,7,4,2,8,5,9,1,3,6,10]
[1,8,2,9,10,11,3,4,12,5,6,7]=>[10,11,4,2,12,7,5,8,1,3,6,9]
[1,8,2,9,10,11,3,12,4,5,6,7]=>[9,10,4,2,11,5,12,7,1,3,6,8]
[1,8,2,9,10,11,12,3,4,5,6,7]=>[8,9,4,2,10,5,11,6,12,1,3,7]
[1,8,9,2,3,10,4,11,5,12,6,7]=>[11,12,9,7,4,2,5,1,3,6,8,10]
[1,8,9,2,3,10,4,11,12,5,6,7]=>[10,11,8,6,2,12,4,1,3,5,7,9]
[1,8,9,2,3,10,11,4,5,12,6,7]=>[11,12,8,6,2,9,4,1,3,5,7,10]
[1,8,9,2,3,10,11,4,12,5,6,7]=>[10,11,6,2,12,8,4,1,3,5,7,9]
[1,8,9,2,3,10,11,12,4,5,6,7]=>[9,10,6,2,11,7,3,12,1,4,5,8]
[1,8,9,2,10,3,4,11,5,12,6,7]=>[11,12,9,6,2,7,4,1,3,5,8,10]
[1,8,9,2,10,3,4,11,12,5,6,7]=>[10,11,8,2,12,6,4,1,3,5,7,9]
[1,8,9,2,10,3,11,4,5,12,6,7]=>[11,12,8,2,9,6,4,1,3,5,7,10]
[1,8,9,2,10,3,11,4,12,5,6,7]=>[10,11,2,12,8,6,4,1,3,5,7,9]
[1,8,9,2,10,3,11,12,4,5,6,7]=>[9,10,2,11,7,5,3,12,1,4,6,8]
[1,8,9,2,10,11,3,4,5,12,6,7]=>[11,12,7,2,8,5,3,9,1,4,6,10]
[1,8,9,2,10,11,3,4,12,5,6,7]=>[10,11,2,12,7,5,3,8,1,4,6,9]
[1,8,9,2,10,11,3,12,4,5,6,7]=>[9,10,2,11,5,3,12,7,1,4,6,8]
[1,8,9,2,10,11,12,3,4,5,6,7]=>[8,9,2,10,5,3,11,6,12,1,4,7]
[1,8,9,10,2,3,4,11,5,12,6,7]=>[11,12,9,5,2,6,3,7,1,4,8,10]
[1,8,9,10,2,3,4,11,12,5,6,7]=>[10,11,8,2,12,5,3,6,1,4,7,9]
[1,8,9,10,2,3,11,4,5,12,6,7]=>[11,12,8,2,9,5,3,6,1,4,7,10]
[1,8,9,10,2,3,11,4,12,5,6,7]=>[10,11,2,12,8,5,3,6,1,4,7,9]
[1,8,9,10,2,3,11,12,4,5,6,7]=>[9,10,2,11,7,3,12,5,1,4,6,8]
[1,8,9,10,2,11,3,4,5,12,6,7]=>[11,12,7,2,8,3,9,5,1,4,6,10]
[1,8,9,10,2,11,3,4,12,5,6,7]=>[10,11,2,12,7,3,8,5,1,4,6,9]
[1,8,9,10,2,11,3,12,4,5,6,7]=>[9,10,2,11,3,12,7,5,1,4,6,8]
[1,8,9,10,2,11,12,3,4,5,6,7]=>[8,9,2,10,3,11,6,4,12,1,5,7]
[1,8,9,10,11,2,3,4,5,12,6,7]=>[11,12,6,2,7,3,8,4,9,1,5,10]
[1,8,9,10,11,2,3,4,12,5,6,7]=>[10,11,2,12,6,3,7,4,8,1,5,9]
[1,8,9,10,11,2,3,12,4,5,6,7]=>[9,10,2,11,3,12,6,4,7,1,5,8]
[1,8,9,10,11,2,12,3,4,5,6,7]=>[8,9,2,10,3,11,4,12,6,1,5,7]
[1,8,9,10,11,12,2,3,4,5,6,7]=>[7,8,2,9,3,10,4,11,5,12,1,6]
[8,1,2,9,3,10,4,11,5,12,6,7]=>[11,12,9,7,5,2,3,1,4,6,8,10]
[8,1,2,9,3,10,4,11,12,5,6,7]=>[10,11,8,6,4,12,2,1,3,5,7,9]
[8,1,2,9,3,10,11,4,5,12,6,7]=>[11,12,8,6,4,9,2,1,3,5,7,10]
[8,1,2,9,3,10,11,4,12,5,6,7]=>[10,11,6,4,12,8,2,1,3,5,7,9]
[8,1,2,9,3,10,11,12,4,5,6,7]=>[9,10,6,4,11,7,1,12,2,3,5,8]
[8,1,2,9,10,3,4,11,5,12,6,7]=>[11,12,9,6,4,7,2,1,3,5,8,10]
[8,1,2,9,10,3,4,11,12,5,6,7]=>[10,11,8,4,12,6,2,1,3,5,7,9]
[8,1,2,9,10,3,11,4,5,12,6,7]=>[11,12,8,4,9,6,2,1,3,5,7,10]
[8,1,2,9,10,3,11,4,12,5,6,7]=>[10,11,4,12,8,6,2,1,3,5,7,9]
[8,1,2,9,10,3,11,12,4,5,6,7]=>[9,10,4,11,7,5,1,12,2,3,6,8]
[8,1,2,9,10,11,3,4,5,12,6,7]=>[11,12,7,4,8,5,1,9,2,3,6,10]
[8,1,2,9,10,11,3,4,12,5,6,7]=>[10,11,4,12,7,5,1,8,2,3,6,9]
[8,1,2,9,10,11,3,12,4,5,6,7]=>[9,10,4,11,5,1,12,7,2,3,6,8]
[8,1,2,9,10,11,12,3,4,5,6,7]=>[8,9,4,10,5,1,11,6,12,2,3,7]
[8,1,9,2,3,10,4,11,5,12,6,7]=>[11,12,9,7,4,5,2,1,3,6,8,10]
[8,1,9,2,3,10,4,11,12,5,6,7]=>[10,11,8,6,12,4,2,1,3,5,7,9]
[8,1,9,2,3,10,11,4,5,12,6,7]=>[11,12,8,6,9,4,2,1,3,5,7,10]
[8,1,9,2,3,10,11,4,12,5,6,7]=>[10,11,6,12,8,4,2,1,3,5,7,9]
[8,1,9,2,3,10,11,12,4,5,6,7]=>[9,10,6,11,7,3,1,12,2,4,5,8]
[8,1,9,2,10,3,4,11,5,12,6,7]=>[11,12,9,6,7,4,2,1,3,5,8,10]
[8,1,9,2,10,3,4,11,12,5,6,7]=>[10,11,8,12,6,4,2,1,3,5,7,9]
[8,1,9,2,10,3,11,4,5,12,6,7]=>[11,12,8,9,6,4,2,1,3,5,7,10]
[8,1,9,2,10,3,11,4,12,5,6,7]=>[10,11,12,8,6,4,2,1,3,5,7,9]
[8,1,9,2,10,3,11,12,4,5,6,7]=>[9,10,11,7,5,3,1,12,2,4,6,8]
[8,1,9,2,10,11,3,4,5,12,6,7]=>[11,12,7,8,5,3,1,9,2,4,6,10]
[8,1,9,2,10,11,3,4,12,5,6,7]=>[10,11,12,7,5,3,1,8,2,4,6,9]
[8,1,9,2,10,11,3,12,4,5,6,7]=>[9,10,11,5,3,1,12,7,2,4,6,8]
[8,1,9,2,10,11,12,3,4,5,6,7]=>[8,9,10,5,3,1,11,6,12,2,4,7]
[8,1,9,10,2,3,4,11,5,12,6,7]=>[11,12,9,5,6,3,1,7,2,4,8,10]
[8,1,9,10,2,3,4,11,12,5,6,7]=>[10,11,8,12,5,3,1,6,2,4,7,9]
[8,1,9,10,2,3,11,4,5,12,6,7]=>[11,12,8,9,5,3,1,6,2,4,7,10]
[8,1,9,10,2,3,11,4,12,5,6,7]=>[10,11,12,8,5,3,1,6,2,4,7,9]
[8,1,9,10,2,3,11,12,4,5,6,7]=>[9,10,11,7,3,1,12,5,2,4,6,8]
[8,1,9,10,2,11,3,4,5,12,6,7]=>[11,12,7,8,3,1,9,5,2,4,6,10]
[8,1,9,10,2,11,3,4,12,5,6,7]=>[10,11,12,7,3,1,8,5,2,4,6,9]
[8,1,9,10,2,11,3,12,4,5,6,7]=>[9,10,11,3,1,12,7,5,2,4,6,8]
[8,1,9,10,2,11,12,3,4,5,6,7]=>[8,9,10,3,1,11,6,4,12,2,5,7]
[8,1,9,10,11,2,3,4,5,12,6,7]=>[11,12,6,7,3,1,8,4,9,2,5,10]
[8,1,9,10,11,2,3,4,12,5,6,7]=>[10,11,12,6,3,1,7,4,8,2,5,9]
[8,1,9,10,11,2,3,12,4,5,6,7]=>[9,10,11,3,1,12,6,4,7,2,5,8]
[8,1,9,10,11,2,12,3,4,5,6,7]=>[8,9,10,3,1,11,4,12,6,2,5,7]
[8,1,9,10,11,12,2,3,4,5,6,7]=>[7,8,9,3,1,10,4,11,5,12,2,6]
[8,9,1,2,3,10,4,11,5,12,6,7]=>[11,12,9,7,3,4,1,5,2,6,8,10]
[8,9,1,2,3,10,4,11,12,5,6,7]=>[10,11,8,6,12,3,1,4,2,5,7,9]
[8,9,1,2,3,10,11,4,5,12,6,7]=>[11,12,8,6,9,3,1,4,2,5,7,10]
[8,9,1,2,3,10,11,4,12,5,6,7]=>[10,11,6,12,8,3,1,4,2,5,7,9]
[8,9,1,2,3,10,11,12,4,5,6,7]=>[9,10,6,11,7,1,12,3,2,4,5,8]
[8,9,1,2,10,3,4,11,5,12,6,7]=>[11,12,9,6,7,3,1,4,2,5,8,10]
[8,9,1,2,10,3,4,11,12,5,6,7]=>[10,11,8,12,6,3,1,4,2,5,7,9]
[8,9,1,2,10,3,11,4,5,12,6,7]=>[11,12,8,9,6,3,1,4,2,5,7,10]
[8,9,1,2,10,3,11,4,12,5,6,7]=>[10,11,12,8,6,3,1,4,2,5,7,9]
[8,9,1,2,10,3,11,12,4,5,6,7]=>[9,10,11,7,5,1,12,3,2,4,6,8]
[8,9,1,2,10,11,3,4,5,12,6,7]=>[11,12,7,8,5,1,9,3,2,4,6,10]
[8,9,1,2,10,11,3,4,12,5,6,7]=>[10,11,12,7,5,1,8,3,2,4,6,9]
[8,9,1,2,10,11,3,12,4,5,6,7]=>[9,10,11,5,1,12,7,3,2,4,6,8]
[8,9,1,2,10,11,12,3,4,5,6,7]=>[8,9,10,5,1,11,6,2,12,3,4,7]
[8,9,1,10,2,3,4,11,5,12,6,7]=>[11,12,9,5,6,1,7,3,2,4,8,10]
[8,9,1,10,2,3,4,11,12,5,6,7]=>[10,11,8,12,5,1,6,3,2,4,7,9]
[8,9,1,10,2,3,11,4,5,12,6,7]=>[11,12,8,9,5,1,6,3,2,4,7,10]
[8,9,1,10,2,3,11,4,12,5,6,7]=>[10,11,12,8,5,1,6,3,2,4,7,9]
[8,9,1,10,2,3,11,12,4,5,6,7]=>[9,10,11,7,1,12,5,3,2,4,6,8]
[8,9,1,10,2,11,3,4,5,12,6,7]=>[11,12,7,8,1,9,5,3,2,4,6,10]
[8,9,1,10,2,11,3,4,12,5,6,7]=>[10,11,12,7,1,8,5,3,2,4,6,9]
[8,9,1,10,2,11,3,12,4,5,6,7]=>[9,10,11,1,12,7,5,3,2,4,6,8]
[8,9,1,10,2,11,12,3,4,5,6,7]=>[8,9,10,1,11,6,4,2,12,3,5,7]
[8,9,1,10,11,2,3,4,5,12,6,7]=>[11,12,6,7,1,8,4,2,9,3,5,10]
[8,9,1,10,11,2,3,4,12,5,6,7]=>[10,11,12,6,1,7,4,2,8,3,5,9]
[8,9,1,10,11,2,3,12,4,5,6,7]=>[9,10,11,1,12,6,4,2,7,3,5,8]
[8,9,1,10,11,2,12,3,4,5,6,7]=>[8,9,10,1,11,4,2,12,6,3,5,7]
[8,9,1,10,11,12,2,3,4,5,6,7]=>[7,8,9,1,10,4,2,11,5,12,3,6]
[8,9,10,1,2,3,4,11,5,12,6,7]=>[11,12,9,4,5,1,6,2,7,3,8,10]
[8,9,10,1,2,3,4,11,12,5,6,7]=>[10,11,8,12,4,1,5,2,6,3,7,9]
[8,9,10,1,2,3,11,4,5,12,6,7]=>[11,12,8,9,4,1,5,2,6,3,7,10]
[8,9,10,1,2,3,11,4,12,5,6,7]=>[10,11,12,8,4,1,5,2,6,3,7,9]
[8,9,10,1,2,3,11,12,4,5,6,7]=>[9,10,11,7,1,12,4,2,5,3,6,8]
[8,9,10,1,2,11,3,4,5,12,6,7]=>[11,12,7,8,1,9,4,2,5,3,6,10]
[8,9,10,1,2,11,3,4,12,5,6,7]=>[10,11,12,7,1,8,4,2,5,3,6,9]
[8,9,10,1,2,11,3,12,4,5,6,7]=>[9,10,11,1,12,7,4,2,5,3,6,8]
[8,9,10,1,2,11,12,3,4,5,6,7]=>[8,9,10,1,11,6,2,12,4,3,5,7]
[8,9,10,1,11,2,3,4,5,12,6,7]=>[11,12,6,7,1,8,2,9,4,3,5,10]
[8,9,10,1,11,2,3,4,12,5,6,7]=>[10,11,12,6,1,7,2,8,4,3,5,9]
[8,9,10,1,11,2,3,12,4,5,6,7]=>[9,10,11,1,12,6,2,7,4,3,5,8]
[8,9,10,1,11,2,12,3,4,5,6,7]=>[8,9,10,1,11,2,12,6,4,3,5,7]
[8,9,10,1,11,12,2,3,4,5,6,7]=>[7,8,9,1,10,2,11,5,3,12,4,6]
[8,9,10,11,1,2,3,4,5,12,6,7]=>[11,12,5,6,1,7,2,8,3,9,4,10]
[8,9,10,11,1,2,3,4,12,5,6,7]=>[10,11,12,5,1,6,2,7,3,8,4,9]
[8,9,10,11,1,2,3,12,4,5,6,7]=>[9,10,11,1,12,5,2,6,3,7,4,8]
[8,9,10,11,1,2,12,3,4,5,6,7]=>[8,9,10,1,11,2,12,5,3,6,4,7]
[8,9,10,11,1,12,2,3,4,5,6,7]=>[7,8,9,1,10,2,11,3,12,5,4,6]
[8,9,10,11,12,1,2,3,4,5,6,7]=>[6,7,8,1,9,2,10,3,11,4,12,5]
[12,10,8,6,4,2,1,3,5,7,9,11]=>[7,6,8,5,9,4,10,3,11,2,12,1]
[11,12,8,6,4,2,1,3,5,7,10,9]=>[6,12,7,5,8,4,9,3,10,1,11,2]
[12,9,10,6,4,2,1,3,5,8,7,11]=>[6,11,7,5,8,4,9,2,10,3,12,1]
[11,9,12,6,4,2,1,3,5,8,10,7]=>[6,10,5,12,7,4,8,2,9,1,11,3]
[10,11,12,6,4,2,1,3,5,9,8,7]=>[12,6,5,11,7,4,8,1,9,2,10,3]
[12,10,7,8,4,2,1,3,6,5,9,11]=>[6,10,7,5,8,3,9,4,11,2,12,1]
[11,12,7,8,4,2,1,3,6,5,10,9]=>[6,9,5,12,7,3,8,4,10,1,11,2]
[12,9,7,10,4,2,1,3,6,8,5,11]=>[6,9,5,11,7,3,8,2,10,4,12,1]
[11,9,7,12,4,2,1,3,6,8,10,5]=>[6,9,5,10,3,12,7,2,8,1,11,4]
[10,11,7,12,4,2,1,3,6,9,8,5]=>[12,6,5,9,3,11,7,1,8,2,10,4]
[12,8,9,10,4,2,1,3,7,6,5,11]=>[11,6,5,10,7,2,8,3,9,4,12,1]
[11,8,9,12,4,2,1,3,7,6,10,5]=>[10,6,5,9,2,12,7,3,8,1,11,4]
[10,8,11,12,4,2,1,3,7,9,6,5]=>[9,5,12,6,2,11,7,1,8,3,10,4]
[9,10,11,12,4,2,1,3,8,7,6,5]=>[5,12,11,6,1,10,7,2,8,3,9,4]
[12,10,8,5,6,2,1,4,3,7,9,11]=>[6,9,7,4,8,5,10,3,11,2,12,1]
[11,12,8,5,6,2,1,4,3,7,10,9]=>[6,8,4,12,7,5,9,3,10,1,11,2]
[12,9,10,5,6,2,1,4,3,8,7,11]=>[6,8,4,11,7,5,9,2,10,3,12,1]
[11,9,12,5,6,2,1,4,3,8,10,7]=>[6,8,4,10,5,12,7,2,9,1,11,3]
[10,11,12,5,6,2,1,4,3,9,8,7]=>[12,6,4,8,5,11,7,1,9,2,10,3]
[12,10,7,5,8,2,1,4,6,3,9,11]=>[6,8,4,10,7,3,9,5,11,2,12,1]
[11,12,7,5,8,2,1,4,6,3,10,9]=>[6,8,4,9,3,12,7,5,10,1,11,2]
[12,9,7,5,10,2,1,4,6,8,3,11]=>[6,8,4,9,3,11,7,2,10,5,12,1]
[11,9,7,5,12,2,1,4,6,8,10,3]=>[6,8,4,9,3,10,2,12,7,1,11,5]
[10,11,7,5,12,2,1,4,6,9,8,3]=>[12,6,4,8,3,9,1,11,7,2,10,5]
[12,8,9,5,10,2,1,4,7,6,3,11]=>[11,6,4,8,2,10,7,3,9,5,12,1]
[11,8,9,5,12,2,1,4,7,6,10,3]=>[10,6,4,8,2,9,3,12,7,1,11,5]
[10,8,11,5,12,2,1,4,7,9,6,3]=>[9,4,12,6,2,8,1,11,7,3,10,5]
[9,10,11,5,12,2,1,4,8,7,6,3]=>[4,12,11,6,1,8,2,10,7,3,9,5]
[12,10,6,7,8,2,1,5,4,3,9,11]=>[10,6,3,9,7,4,8,5,11,2,12,1]
[11,12,6,7,8,2,1,5,4,3,10,9]=>[9,6,3,8,4,12,7,5,10,1,11,2]
[12,9,6,7,10,2,1,5,4,8,3,11]=>[9,6,3,8,4,11,7,2,10,5,12,1]
[11,9,6,7,12,2,1,5,4,8,10,3]=>[9,6,3,8,4,10,2,12,7,1,11,5]
[10,11,6,7,12,2,1,5,4,9,8,3]=>[8,3,12,6,4,9,1,11,7,2,10,5]
[12,8,6,9,10,2,1,5,7,4,3,11]=>[8,3,11,6,2,10,7,4,9,5,12,1]
[11,8,6,9,12,2,1,5,7,4,10,3]=>[8,3,10,6,2,9,4,12,7,1,11,5]
[10,8,6,11,12,2,1,5,7,9,4,3]=>[8,3,9,2,12,6,1,11,7,4,10,5]
[9,10,6,11,12,2,1,5,8,7,4,3]=>[3,12,8,1,11,6,2,10,7,4,9,5]
[12,7,8,9,10,2,1,6,5,4,3,11]=>[2,11,10,6,3,9,7,4,8,5,12,1]
[11,7,8,9,12,2,1,6,5,4,10,3]=>[2,10,9,6,3,8,4,12,7,1,11,5]
[10,7,8,11,12,2,1,6,5,9,4,3]=>[2,9,8,3,12,6,1,11,7,4,10,5]
[9,7,10,11,12,2,1,6,8,5,4,3]=>[2,8,1,12,11,6,3,10,7,4,9,5]
[8,9,10,11,12,2,1,7,6,5,4,3]=>[1,2,12,11,10,6,3,9,7,4,8,5]
[12,10,8,6,3,4,2,1,5,7,9,11]=>[5,8,7,6,9,4,10,3,11,2,12,1]
[11,12,8,6,3,4,2,1,5,7,10,9]=>[5,7,6,12,8,4,9,3,10,1,11,2]
[12,9,10,6,3,4,2,1,5,8,7,11]=>[5,7,6,11,8,4,9,2,10,3,12,1]
[11,9,12,6,3,4,2,1,5,8,10,7]=>[5,7,6,10,4,12,8,2,9,1,11,3]
[10,11,12,6,3,4,2,1,5,9,8,7]=>[5,6,12,7,4,11,8,1,9,2,10,3]
[12,10,7,8,3,4,2,1,6,5,9,11]=>[5,7,6,10,8,3,9,4,11,2,12,1]
[11,12,7,8,3,4,2,1,6,5,10,9]=>[5,7,6,9,3,12,8,4,10,1,11,2]
[12,9,7,10,3,4,2,1,6,8,5,11]=>[5,7,6,9,3,11,8,2,10,4,12,1]
[11,9,7,12,3,4,2,1,6,8,10,5]=>[5,7,6,9,3,10,2,12,8,1,11,4]
[10,11,7,12,3,4,2,1,6,9,8,5]=>[5,6,12,7,3,9,1,11,8,2,10,4]
[12,8,9,10,3,4,2,1,7,6,5,11]=>[5,6,11,7,2,10,8,3,9,4,12,1]
[11,8,9,12,3,4,2,1,7,6,10,5]=>[5,6,10,7,2,9,3,12,8,1,11,4]
[10,8,11,12,3,4,2,1,7,9,6,5]=>[5,6,9,2,12,7,1,11,8,3,10,4]
[9,10,11,12,3,4,2,1,8,7,6,5]=>[12,5,6,1,11,7,2,10,8,3,9,4]
[12,10,8,5,3,6,2,4,1,7,9,11]=>[5,7,4,9,8,6,10,3,11,2,12,1]
[11,12,8,5,3,6,2,4,1,7,10,9]=>[5,7,4,8,6,12,9,3,10,1,11,2]
[12,9,10,5,3,6,2,4,1,8,7,11]=>[5,7,4,8,6,11,9,2,10,3,12,1]
[11,9,12,5,3,6,2,4,1,8,10,7]=>[5,7,4,8,6,10,2,12,9,1,11,3]
[10,11,12,5,3,6,2,4,1,9,8,7]=>[12,5,4,7,6,8,1,11,9,2,10,3]
[12,10,7,5,3,8,2,4,6,1,9,11]=>[5,7,4,8,3,10,9,6,11,2,12,1]
[11,12,7,5,3,8,2,4,6,1,10,9]=>[5,7,4,8,3,9,6,12,10,1,11,2]
[12,9,7,5,3,10,2,4,6,8,1,11]=>[5,7,4,8,3,9,2,11,10,6,12,1]
[11,9,7,5,3,12,2,4,6,8,10,1]=>[5,7,4,8,3,9,2,10,1,12,11,6]
[10,11,7,5,3,12,2,4,6,9,8,1]=>[12,5,4,7,3,8,1,9,2,11,10,6]
[12,8,9,5,3,10,2,4,7,6,1,11]=>[11,5,4,7,2,8,3,10,9,6,12,1]
[11,8,9,5,3,12,2,4,7,6,10,1]=>[10,5,4,7,2,8,3,9,1,12,11,6]
[10,8,11,5,3,12,2,4,7,9,6,1]=>[9,4,12,5,2,7,1,8,3,11,10,6]
[9,10,11,5,3,12,2,4,8,7,6,1]=>[4,12,11,5,1,7,2,8,3,10,9,6]
[12,10,6,7,3,8,2,5,4,1,9,11]=>[10,5,3,7,4,9,8,6,11,2,12,1]
[11,12,6,7,3,8,2,5,4,1,10,9]=>[9,5,3,7,4,8,6,12,10,1,11,2]
[12,9,6,7,3,10,2,5,4,8,1,11]=>[9,5,3,7,4,8,2,11,10,6,12,1]
[11,9,6,7,3,12,2,5,4,8,10,1]=>[9,5,3,7,4,8,2,10,1,12,11,6]
[10,11,6,7,3,12,2,5,4,9,8,1]=>[8,3,12,5,4,7,1,9,2,11,10,6]
[12,8,6,9,3,10,2,5,7,4,1,11]=>[8,3,11,5,2,7,4,10,9,6,12,1]
[11,8,6,9,3,12,2,5,7,4,10,1]=>[8,3,10,5,2,7,4,9,1,12,11,6]
[10,8,6,11,3,12,2,5,7,9,4,1]=>[8,3,9,2,12,5,1,7,4,11,10,6]
[9,10,6,11,3,12,2,5,8,7,4,1]=>[3,12,8,1,11,5,2,7,4,10,9,6]
[12,7,8,9,3,10,2,6,5,4,1,11]=>[2,11,10,5,3,7,4,9,8,6,12,1]
[11,7,8,9,3,12,2,6,5,4,10,1]=>[2,10,9,5,3,7,4,8,1,12,11,6]
[10,7,8,11,3,12,2,6,5,9,4,1]=>[2,9,8,3,12,5,1,7,4,11,10,6]
[9,7,10,11,3,12,2,6,8,5,4,1]=>[2,8,1,12,11,5,3,7,4,10,9,6]
[8,9,10,11,3,12,2,7,6,5,4,1]=>[1,2,12,11,10,5,3,7,4,9,8,6]
[12,10,8,4,5,6,3,2,1,7,9,11]=>[4,5,9,8,7,6,10,3,11,2,12,1]
[11,12,8,4,5,6,3,2,1,7,10,9]=>[4,5,8,7,6,12,9,3,10,1,11,2]
[12,9,10,4,5,6,3,2,1,8,7,11]=>[4,5,8,7,6,11,9,2,10,3,12,1]
[11,9,12,4,5,6,3,2,1,8,10,7]=>[4,5,8,7,6,10,2,12,9,1,11,3]
[10,11,12,4,5,6,3,2,1,9,8,7]=>[4,5,7,6,12,8,1,11,9,2,10,3]
[12,10,7,4,5,8,3,2,6,1,9,11]=>[4,5,8,7,3,10,9,6,11,2,12,1]
[11,12,7,4,5,8,3,2,6,1,10,9]=>[4,5,8,7,3,9,6,12,10,1,11,2]
[12,9,7,4,5,10,3,2,6,8,1,11]=>[4,5,8,7,3,9,2,11,10,6,12,1]
[11,9,7,4,5,12,3,2,6,8,10,1]=>[4,5,8,7,3,9,2,10,1,12,11,6]
[10,11,7,4,5,12,3,2,6,9,8,1]=>[4,5,7,3,12,8,1,9,2,11,10,6]
[12,8,9,4,5,10,3,2,7,6,1,11]=>[4,5,7,2,11,8,3,10,9,6,12,1]
[11,8,9,4,5,12,3,2,7,6,10,1]=>[4,5,7,2,10,8,3,9,1,12,11,6]
[10,8,11,4,5,12,3,2,7,9,6,1]=>[4,5,7,2,9,1,12,8,3,11,10,6]
[9,10,11,4,5,12,3,2,8,7,6,1]=>[12,4,5,1,7,2,11,8,3,10,9,6]
[12,10,6,4,7,8,3,5,2,1,9,11]=>[7,4,3,5,10,9,8,6,11,2,12,1]
[11,12,6,4,7,8,3,5,2,1,10,9]=>[7,4,3,5,9,8,6,12,10,1,11,2]
[12,9,6,4,7,10,3,5,2,8,1,11]=>[7,4,3,5,9,8,2,11,10,6,12,1]
[11,9,6,4,7,12,3,5,2,8,10,1]=>[7,4,3,5,9,8,2,10,1,12,11,6]
[10,11,6,4,7,12,3,5,2,9,8,1]=>[7,4,3,5,8,1,12,9,2,11,10,6]
[12,8,6,4,9,10,3,5,7,2,1,11]=>[7,3,8,4,2,5,11,10,9,6,12,1]
[11,8,6,4,9,12,3,5,7,2,10,1]=>[7,3,8,4,2,5,10,9,1,12,11,6]
[10,8,6,4,11,12,3,5,7,9,2,1]=>[7,3,8,2,9,4,1,5,12,11,10,6]
[9,10,6,4,11,12,3,5,8,7,2,1]=>[3,12,7,1,8,4,2,5,11,10,9,6]
[12,7,8,4,9,10,3,6,5,2,1,11]=>[2,11,7,4,3,5,10,9,8,6,12,1]
[11,7,8,4,9,12,3,6,5,2,10,1]=>[2,10,7,4,3,5,9,8,1,12,11,6]
[10,7,8,4,11,12,3,6,5,9,2,1]=>[2,9,7,3,8,4,1,5,12,11,10,6]
[9,7,10,4,11,12,3,6,8,5,2,1]=>[2,8,1,12,7,4,3,5,11,10,9,6]
[8,9,10,4,11,12,3,7,6,5,2,1]=>[1,2,12,11,7,4,3,5,10,9,8,6]
[12,10,5,6,7,8,4,3,2,1,9,11]=>[3,4,5,10,9,8,7,6,11,2,12,1]
[11,12,5,6,7,8,4,3,2,1,10,9]=>[3,4,5,9,8,7,6,12,10,1,11,2]
[12,9,5,6,7,10,4,3,2,8,1,11]=>[3,4,5,9,8,7,2,11,10,6,12,1]
[11,9,5,6,7,12,4,3,2,8,10,1]=>[3,4,5,9,8,7,2,10,1,12,11,6]
[10,11,5,6,7,12,4,3,2,9,8,1]=>[3,4,5,8,7,1,12,9,2,11,10,6]
[12,8,5,6,9,10,4,3,7,2,1,11]=>[8,3,4,2,7,5,11,10,9,6,12,1]
[11,8,5,6,9,12,4,3,7,2,10,1]=>[8,3,4,2,7,5,10,9,1,12,11,6]
[10,8,5,6,11,12,4,3,7,9,2,1]=>[8,3,4,2,7,1,9,5,12,11,10,6]
[9,10,5,6,11,12,4,3,8,7,2,1]=>[7,12,3,1,4,2,8,5,11,10,9,6]
[12,7,5,8,9,10,4,6,3,2,1,11]=>[4,2,7,3,5,11,10,9,8,6,12,1]
[11,7,5,8,9,12,4,6,3,2,10,1]=>[4,2,7,3,5,10,9,8,1,12,11,6]
[10,7,5,8,11,12,4,6,3,9,2,1]=>[4,2,7,9,3,1,8,5,12,11,10,6]
[9,7,5,10,11,12,4,6,8,3,2,1]=>[2,7,4,1,8,3,5,12,11,10,9,6]
[8,9,5,10,11,12,4,7,6,3,2,1]=>[1,4,2,12,7,3,5,11,10,9,8,6]
[12,6,7,8,9,10,5,4,3,2,1,11]=>[2,3,4,5,11,10,9,8,7,6,12,1]
[11,6,7,8,9,12,5,4,3,2,10,1]=>[2,3,4,5,10,9,8,7,1,12,11,6]
[10,6,7,8,11,12,5,4,3,9,2,1]=>[9,2,3,4,1,8,7,5,12,11,10,6]
[9,6,7,10,11,12,5,4,8,3,2,1]=>[4,8,2,1,3,7,5,12,11,10,9,6]
[8,6,9,10,11,12,5,7,4,3,2,1]=>[3,1,4,7,2,5,12,11,10,9,8,6]
[2,3,4,5,6,7,8,9,12,11,1,10]=>[11,12,1,2,3,4,5,6,7,8,10,9]
[12,11,10,8,6,4,2,1,3,5,7,9]=>[8,7,9,6,10,5,11,4,12,3,2,1]
[12,10,9,8,6,4,2,1,3,5,7,11]=>[8,7,9,6,10,5,11,4,3,2,12,1]
[12,9,11,8,6,4,2,1,3,5,10,7]=>[7,12,8,6,9,5,2,10,4,11,3,1]
[12,11,10,9,8,6,4,2,1,3,5,7]=>[9,8,10,7,11,6,12,5,4,3,2,1]
[12,10,8,7,6,4,2,1,3,5,9,11]=>[8,7,9,6,10,5,4,3,11,2,12,1]
[12,11,10,8,7,6,4,2,1,3,5,9]=>[9,8,10,7,11,6,5,4,12,3,2,1]
[12,10,7,9,6,4,2,1,3,8,5,11]=>[7,11,8,6,3,9,5,10,4,2,12,1]
[12,7,11,9,6,4,2,1,3,8,10,5]=>[7,2,10,6,12,8,5,9,4,11,3,1]
[12,11,10,7,9,6,4,2,1,3,8,5]=>[8,12,9,7,4,10,6,11,5,3,2,1]
[12,10,9,8,7,6,4,2,1,3,5,11]=>[9,8,10,7,11,6,5,4,3,2,12,1]
[12,9,11,8,7,6,4,2,1,3,10,5]=>[8,12,9,7,2,10,6,5,4,11,3,1]
[12,8,11,10,7,9,4,2,1,3,6,5]=>[8,2,12,9,7,10,5,11,6,4,3,1]
[12,11,10,9,8,7,6,4,2,1,3,5]=>[10,9,11,8,12,7,6,5,4,3,2,1]
[12,10,8,6,5,4,2,1,3,7,9,11]=>[8,7,9,6,5,4,10,3,11,2,12,1]
[12,11,10,8,6,5,4,2,1,3,7,9]=>[9,8,10,7,6,5,11,4,12,3,2,1]
[12,10,9,8,6,5,4,2,1,3,7,11]=>[9,8,10,7,6,5,11,4,3,2,12,1]
[12,9,11,8,6,5,4,2,1,3,10,7]=>[8,12,9,7,6,5,2,10,4,11,3,1]
[12,11,10,9,8,6,5,4,2,1,3,7]=>[10,9,11,8,7,6,12,5,4,3,2,1]
[12,10,8,5,7,4,2,1,6,3,9,11]=>[7,4,10,8,6,9,5,3,11,2,12,1]
[12,11,10,8,5,7,4,2,1,6,3,9]=>[8,5,11,9,7,10,6,4,12,3,2,1]
[12,10,5,9,7,4,2,1,6,8,3,11]=>[3,7,9,6,11,8,5,10,4,2,12,1]
[12,5,11,9,7,4,2,1,6,8,10,3]=>[7,9,2,6,10,5,12,8,4,11,3,1]
[12,11,10,5,9,7,4,2,1,6,8,3]=>[4,8,10,7,12,9,6,11,5,3,2,1]
[12,10,9,8,5,7,4,2,1,6,3,11]=>[8,5,11,9,7,10,6,4,3,2,12,1]
[12,9,11,8,5,7,4,2,1,6,10,3]=>[8,5,10,7,2,12,9,6,4,11,3,1]
[12,11,5,10,8,7,4,2,1,9,6,3]=>[12,8,3,7,11,9,6,5,10,4,2,1]
[12,11,10,9,8,5,7,4,2,1,6,3]=>[9,6,12,10,8,11,7,5,4,3,2,1]
[12,10,8,7,6,5,4,2,1,3,9,11]=>[9,8,10,7,6,5,4,3,11,2,12,1]
[12,11,10,8,7,6,5,4,2,1,3,9]=>[10,9,11,8,7,6,5,4,12,3,2,1]
[12,10,7,9,6,5,4,2,1,8,3,11]=>[8,3,11,9,7,6,5,10,4,2,12,1]
[12,7,11,9,6,5,4,2,1,8,10,3]=>[2,8,10,7,6,5,12,9,4,11,3,1]
[12,11,10,7,9,6,5,4,2,1,8,3]=>[9,4,12,10,8,7,6,11,5,3,2,1]
[12,10,6,9,8,5,7,2,1,4,3,11]=>[3,8,11,9,6,10,7,5,4,2,12,1]
[12,6,11,9,8,5,7,2,1,4,10,3]=>[8,10,2,6,12,9,7,5,4,11,3,1]
[12,6,11,8,10,5,7,2,1,9,4,3]=>[12,8,2,6,4,11,9,7,10,5,3,1]
[12,11,10,6,9,8,5,7,2,1,4,3]=>[4,9,12,10,7,11,8,6,5,3,2,1]
[12,10,9,8,7,6,5,4,2,1,3,11]=>[10,9,11,8,7,6,5,4,3,2,12,1]
[12,9,11,8,7,6,5,4,2,1,10,3]=>[9,2,12,10,8,7,6,5,4,11,3,1]
[12,8,11,10,7,6,5,9,2,1,4,3]=>[2,9,12,10,7,6,5,11,8,4,3,1]
[12,7,11,10,9,6,8,5,2,1,4,3]=>[9,12,2,10,6,11,8,7,5,4,3,1]
[12,11,10,9,8,7,6,5,4,2,1,3]=>[11,10,12,9,8,7,6,5,4,3,2,1]
[12,10,8,6,4,3,2,1,5,7,9,11]=>[8,7,6,5,9,4,10,3,11,2,12,1]
[12,11,10,8,6,4,3,2,1,5,7,9]=>[9,8,7,6,10,5,11,4,12,3,2,1]
[12,10,9,8,6,4,3,2,1,5,7,11]=>[9,8,7,6,10,5,11,4,3,2,12,1]
[12,9,11,8,6,4,3,2,1,5,10,7]=>[8,7,6,12,9,5,2,10,4,11,3,1]
[12,11,10,9,8,6,4,3,2,1,5,7]=>[10,9,8,7,11,6,12,5,4,3,2,1]
[12,10,8,7,6,4,3,2,1,5,9,11]=>[9,8,7,6,10,5,4,3,11,2,12,1]
[12,11,10,8,7,6,4,3,2,1,5,9]=>[10,9,8,7,11,6,5,4,12,3,2,1]
[12,10,7,9,6,4,3,2,1,8,5,11]=>[8,7,6,3,11,9,5,10,4,2,12,1]
[12,7,11,9,6,4,3,2,1,8,10,5]=>[2,8,7,6,10,5,12,9,4,11,3,1]
[12,11,10,7,9,6,4,3,2,1,8,5]=>[9,8,7,4,12,10,6,11,5,3,2,1]
[12,10,9,8,7,6,4,3,2,1,5,11]=>[10,9,8,7,11,6,5,4,3,2,12,1]
[12,9,11,8,7,6,4,3,2,1,10,5]=>[9,8,7,2,12,10,6,5,4,11,3,1]
[12,8,11,10,7,9,4,3,2,1,6,5]=>[2,9,8,7,12,10,5,11,6,4,3,1]
[12,11,10,9,8,7,6,4,3,2,1,5]=>[11,10,9,8,12,7,6,5,4,3,2,1]
[12,10,8,6,3,5,2,4,1,7,9,11]=>[5,7,9,8,6,4,10,3,11,2,12,1]
[12,11,10,8,6,3,5,2,4,1,7,9]=>[6,8,10,9,7,5,11,4,12,3,2,1]
[12,10,9,8,6,3,5,2,4,1,7,11]=>[6,8,10,9,7,5,11,4,3,2,12,1]
[12,9,11,8,6,3,5,2,4,1,10,7]=>[6,8,9,7,5,2,12,10,4,11,3,1]
[12,11,10,9,8,6,3,5,2,4,1,7]=>[7,9,11,10,8,6,12,5,4,3,2,1]
[12,10,8,3,7,5,2,4,6,1,9,11]=>[7,8,4,6,10,9,5,3,11,2,12,1]
[12,11,10,8,3,7,5,2,4,6,1,9]=>[8,9,5,7,11,10,6,4,12,3,2,1]
[12,10,3,9,7,5,2,4,6,8,1,11]=>[7,8,6,9,3,5,11,10,4,2,12,1]
[12,3,11,9,7,5,2,4,6,8,10,1]=>[7,8,6,9,5,10,2,4,12,11,3,1]
[12,11,10,3,9,7,5,2,4,6,8,1]=>[8,9,7,10,4,6,12,11,5,3,2,1]
[12,10,9,8,3,7,5,2,4,6,1,11]=>[8,9,5,7,11,10,6,4,3,2,12,1]
[12,9,11,8,3,7,5,2,4,6,10,1]=>[8,9,5,7,2,10,6,4,12,11,3,1]
[12,11,3,10,8,7,5,2,4,9,6,1]=>[12,8,7,9,6,3,5,11,10,4,2,1]
[12,11,10,9,8,3,7,5,2,4,6,1]=>[9,10,6,8,12,11,7,5,4,3,2,1]
[12,10,8,7,6,3,5,2,4,1,9,11]=>[6,8,10,9,7,5,4,3,11,2,12,1]
[12,11,10,8,7,6,3,5,2,4,1,9]=>[7,9,11,10,8,6,5,4,12,3,2,1]
[12,10,7,9,6,3,5,2,4,8,1,11]=>[6,8,3,9,7,5,11,10,4,2,12,1]
[12,7,11,9,6,3,5,2,4,8,10,1]=>[6,2,8,9,7,5,10,4,12,11,3,1]
[12,11,10,7,9,6,3,5,2,4,8,1]=>[7,9,4,10,8,6,12,11,5,3,2,1]
[12,10,9,3,8,6,5,2,7,4,1,11]=>[11,8,7,4,6,10,9,5,3,2,12,1]
[12,9,11,3,8,6,5,2,7,4,10,1]=>[10,8,7,4,6,2,9,5,12,11,3,1]
[12,11,3,8,10,6,5,2,7,9,4,1]=>[9,7,6,4,12,3,8,11,10,5,2,1]
[12,11,10,9,3,8,6,5,2,7,4,1]=>[12,9,8,5,7,11,10,6,4,3,2,1]
[12,10,9,8,7,6,3,5,2,4,1,11]=>[7,9,11,10,8,6,5,4,3,2,12,1]
[12,9,11,8,7,6,3,5,2,4,10,1]=>[7,9,2,10,8,6,5,4,12,11,3,1]
[12,8,11,10,7,6,3,5,2,9,4,1]=>[2,12,7,9,8,6,5,11,10,4,3,1]
[12,11,10,3,9,7,6,8,2,5,4,1]=>[12,9,7,6,11,4,10,8,5,3,2,1]
[12,11,10,9,8,7,6,3,5,2,4,1]=>[8,10,12,11,9,7,6,5,4,3,2,1]
[12,10,8,6,5,4,3,2,1,7,9,11]=>[9,8,7,6,5,4,10,3,11,2,12,1]
[12,11,10,8,6,5,4,3,2,1,7,9]=>[10,9,8,7,6,5,11,4,12,3,2,1]
[12,10,9,8,6,5,4,3,2,1,7,11]=>[10,9,8,7,6,5,11,4,3,2,12,1]
[12,9,11,8,6,5,4,3,2,1,10,7]=>[9,8,7,6,5,2,12,10,4,11,3,1]
[12,11,10,9,8,6,5,4,3,2,1,7]=>[11,10,9,8,7,6,12,5,4,3,2,1]
[12,10,8,5,7,4,3,2,6,1,9,11]=>[4,8,7,6,10,9,5,3,11,2,12,1]
[12,11,10,8,5,7,4,3,2,6,1,9]=>[5,9,8,7,11,10,6,4,12,3,2,1]
[12,10,5,9,7,4,3,2,6,8,1,11]=>[8,3,7,6,9,5,11,10,4,2,12,1]
[12,5,11,9,7,4,3,2,6,8,10,1]=>[8,7,2,6,9,5,10,4,12,11,3,1]
[12,11,10,5,9,7,4,3,2,6,8,1]=>[9,4,8,7,10,6,12,11,5,3,2,1]
[12,10,9,8,5,7,4,3,2,6,1,11]=>[5,9,8,7,11,10,6,4,3,2,12,1]
[12,9,11,8,5,7,4,3,2,6,10,1]=>[5,9,8,7,2,10,6,4,12,11,3,1]
[12,11,5,10,8,7,4,3,2,9,6,1]=>[8,7,12,3,9,6,5,11,10,4,2,1]
[12,11,10,9,8,5,7,4,3,2,6,1]=>[6,10,9,8,12,11,7,5,4,3,2,1]
[12,10,8,4,7,6,3,5,2,1,9,11]=>[7,10,4,9,8,6,5,3,11,2,12,1]
[12,11,10,8,4,7,6,3,5,2,1,9]=>[8,11,5,10,9,7,6,4,12,3,2,1]
[12,10,4,9,7,6,3,5,2,8,1,11]=>[7,9,8,3,6,5,11,10,4,2,12,1]
[12,4,11,9,7,6,3,5,2,8,10,1]=>[7,9,8,6,2,5,10,4,12,11,3,1]
[12,11,10,4,9,7,6,3,5,2,8,1]=>[8,10,9,4,7,6,12,11,5,3,2,1]
[12,10,4,9,6,8,3,5,7,2,1,11]=>[7,5,8,11,3,10,9,6,4,2,12,1]
[12,4,11,9,6,8,3,5,7,2,10,1]=>[7,5,8,10,9,2,6,4,12,11,3,1]
[12,4,11,6,10,8,3,5,7,9,2,1]=>[4,7,8,9,6,12,2,11,10,5,3,1]
[12,11,10,4,9,6,8,3,5,7,2,1]=>[8,6,9,12,4,11,10,7,5,3,2,1]
[12,10,9,8,4,7,6,3,5,2,1,11]=>[8,11,5,10,9,7,6,4,3,2,12,1]
[12,9,11,8,4,7,6,3,5,2,10,1]=>[8,10,5,2,9,7,6,4,12,11,3,1]
[12,8,11,10,4,7,6,3,5,9,2,1]=>[8,2,9,5,7,6,12,11,10,4,3,1]
[12,11,4,10,7,9,6,3,8,5,2,1]=>[5,12,8,7,11,3,10,9,6,4,2,1]
[12,11,10,9,8,4,7,6,3,5,2,1]=>[9,12,6,11,10,8,7,5,4,3,2,1]
[12,10,8,7,6,5,4,3,2,1,9,11]=>[10,9,8,7,6,5,4,3,11,2,12,1]
[12,11,10,8,7,6,5,4,3,2,1,9]=>[11,10,9,8,7,6,5,4,12,3,2,1]
[12,10,7,9,6,5,4,3,2,8,1,11]=>[3,9,8,7,6,5,11,10,4,2,12,1]
[12,7,11,9,6,5,4,3,2,8,10,1]=>[9,2,8,7,6,5,10,4,12,11,3,1]
[12,11,10,7,9,6,5,4,3,2,8,1]=>[4,10,9,8,7,6,12,11,5,3,2,1]
[12,10,6,9,8,5,4,3,7,2,1,11]=>[8,3,7,6,11,10,9,5,4,2,12,1]
[12,6,11,9,8,5,4,3,7,2,10,1]=>[8,7,2,6,10,9,5,4,12,11,3,1]
[12,6,11,8,10,5,4,3,7,9,2,1]=>[8,7,2,6,4,9,12,11,10,5,3,1]
[12,11,10,6,9,8,5,4,3,7,2,1]=>[9,4,8,7,12,11,10,6,5,3,2,1]
[12,10,5,9,8,7,4,6,3,2,1,11]=>[7,11,10,3,9,8,6,5,4,2,12,1]
[12,5,11,9,8,7,4,6,3,2,10,1]=>[7,10,9,8,2,6,5,4,12,11,3,1]
[12,5,11,8,10,7,4,6,3,9,2,1]=>[7,4,9,8,2,6,12,11,10,5,3,1]
[12,5,11,7,10,9,4,6,8,3,2,1]=>[4,7,8,12,11,2,10,9,6,5,3,1]
[12,11,10,5,9,8,7,4,6,3,2,1]=>[8,12,11,4,10,9,7,6,5,3,2,1]
[12,9,11,8,7,6,5,4,3,2,10,1]=>[2,10,9,8,7,6,5,4,12,11,3,1]
[12,8,11,10,7,6,5,4,3,9,2,1]=>[9,2,8,7,6,5,12,11,10,4,3,1]
[12,7,11,10,9,6,5,4,8,3,2,1]=>[8,7,2,6,12,11,10,9,5,4,3,1]
[12,6,11,10,9,8,5,7,4,3,2,1]=>[7,12,11,10,2,9,8,6,5,4,3,1]
[8,9,10,11,7,1,2,3,4,5,12,6]=>[12,6,7,1,8,2,9,3,10,5,4,11]
[2,9,10,11,12,8,1,3,4,5,6,7]=>[7,8,9,2,10,3,11,4,12,1,6,5]
[11,12,2,4,6,8,10,1,3,5,7,9]=>[8,4,5,9,10,3,6,11,1,12,7,2]
[9,10,2,4,6,8,12,1,3,5,7,11]=>[8,4,5,9,10,3,1,6,2,11,12,7]
[11,9,12,2,4,6,8,10,1,3,5,7]=>[9,5,6,10,11,4,2,7,1,12,8,3]
[10,11,12,9,2,4,6,8,1,3,5,7]=>[6,9,10,5,7,1,11,2,12,8,4,3]
[7,8,2,4,6,10,12,1,3,5,9,11]=>[8,4,5,1,9,2,10,3,6,11,12,7]
[7,8,11,12,2,4,6,10,1,3,5,9]=>[6,1,9,2,10,5,7,11,3,12,8,4]
[9,7,10,2,4,6,8,12,1,3,5,11]=>[9,5,6,2,10,4,1,7,3,11,12,8]
[9,11,7,12,2,4,6,8,10,1,3,5]=>[10,6,7,3,1,11,5,8,2,12,9,4]
[7,10,11,12,9,2,4,6,8,1,3,5]=>[1,7,10,11,6,2,8,3,12,9,5,4]
[8,9,10,7,2,4,6,12,1,3,5,11]=>[6,9,1,10,5,2,7,4,3,11,12,8]
[11,8,9,7,12,2,4,6,10,1,3,5]=>[7,10,2,11,6,4,3,8,1,12,9,5]
[10,11,8,12,7,9,2,4,6,1,3,5]=>[10,7,8,3,1,11,5,2,12,9,6,4]
[9,10,11,12,8,7,2,4,6,1,3,5]=>[10,7,1,8,2,11,3,12,9,6,5,4]
[5,6,2,4,8,10,12,1,3,7,9,11]=>[1,8,4,2,5,9,10,3,6,11,12,7]
[5,6,11,12,2,4,8,10,1,3,7,9]=>[1,2,6,9,10,5,7,11,3,12,8,4]
[5,6,9,10,2,4,8,12,1,3,7,11]=>[1,2,6,9,10,5,3,7,4,11,12,8]
[11,5,6,9,12,2,4,8,10,1,3,7]=>[2,3,7,10,11,6,4,8,1,12,9,5]
[10,11,12,5,6,9,2,4,8,1,3,7]=>[4,10,7,5,8,1,11,2,12,9,6,3]
[7,5,8,2,4,6,10,12,1,3,9,11]=>[5,2,6,1,9,3,10,4,7,11,12,8]
[7,5,8,11,12,2,4,6,10,1,3,9]=>[7,2,1,3,10,6,8,11,4,12,9,5]
[7,9,5,10,2,4,6,8,12,1,3,11]=>[6,3,1,7,10,5,2,8,4,11,12,9]
[7,9,11,5,12,2,4,6,8,10,1,3]=>[1,7,4,8,2,11,6,9,3,12,10,5]
[10,7,11,12,5,9,2,4,6,8,1,3]=>[2,8,5,11,7,1,9,3,12,10,6,4]
[5,8,9,10,7,2,4,6,12,1,3,11]=>[7,2,10,1,6,3,8,5,4,11,12,9]
[11,5,8,9,7,12,2,4,6,10,1,3]=>[8,3,11,2,7,5,4,9,1,12,10,6]
[8,10,5,11,12,7,9,2,4,6,1,3]=>[1,11,8,9,3,2,6,4,12,10,7,5]
[9,10,11,12,5,8,7,2,4,6,1,3]=>[5,1,11,8,2,9,3,12,10,7,6,4]
[6,7,8,5,2,4,10,12,1,3,9,11]=>[1,6,2,9,4,3,10,5,7,11,12,8]
[6,7,8,5,11,12,2,4,10,1,3,9]=>[1,2,4,3,10,7,8,11,5,12,9,6]
[9,6,7,5,10,2,4,8,12,1,3,11]=>[2,7,4,3,10,6,1,8,5,11,12,9]
[9,6,7,11,5,12,2,4,8,10,1,3]=>[2,3,8,5,1,11,7,9,4,12,10,6]
[6,10,7,11,12,5,9,2,4,8,1,3]=>[11,3,8,1,6,2,9,4,12,10,7,5]
[8,9,6,10,5,7,2,4,12,1,3,11]=>[3,1,10,7,5,2,8,6,4,11,12,9]
[8,9,11,6,5,7,12,2,4,10,1,3]=>[1,5,4,2,11,8,6,9,3,12,10,7]
[10,8,11,6,12,5,7,9,2,4,1,3]=>[4,2,9,6,1,11,7,3,12,10,8,5]
[9,6,10,11,12,8,5,7,2,4,1,3]=>[9,3,1,11,2,7,4,12,10,8,6,5]
[7,8,9,10,6,5,2,4,12,1,3,11]=>[1,2,10,7,3,8,6,5,4,11,12,9]
[11,7,8,9,6,5,12,2,4,10,1,3]=>[2,3,11,8,6,5,4,9,1,12,10,7]
[10,11,7,8,6,12,5,9,2,4,1,3]=>[3,9,5,4,1,11,7,2,12,10,8,6]
[9,10,11,7,12,6,8,5,2,4,1,3]=>[1,9,4,2,11,6,3,12,10,8,7,5]
[8,9,10,11,12,7,6,5,2,4,1,3]=>[1,2,9,3,11,4,12,10,8,7,6,5]
[3,4,2,6,8,10,12,1,5,7,9,11]=>[8,1,2,4,5,9,10,3,6,11,12,7]
[3,4,11,12,2,6,8,10,1,5,7,9]=>[6,9,10,5,7,11,1,2,3,12,8,4]
[3,4,9,10,2,6,8,12,1,5,7,11]=>[6,9,10,5,1,2,3,7,4,11,12,8]
[11,3,4,9,12,2,6,8,10,1,5,7]=>[7,10,11,6,2,3,4,8,1,12,9,5]
[10,11,12,3,4,9,2,6,8,1,5,7]=>[10,4,5,7,8,1,11,2,12,9,6,3]
[3,4,7,8,2,6,10,12,1,5,9,11]=>[6,3,9,1,2,4,10,5,7,11,12,8]
[3,4,7,8,11,12,2,6,10,1,5,9]=>[3,4,10,7,8,11,1,2,5,12,9,6]
[9,3,4,7,10,2,6,8,12,1,5,11]=>[7,4,10,2,3,6,1,8,5,11,12,9]
[9,11,3,4,7,12,2,6,8,10,1,5]=>[8,5,11,3,4,1,7,9,2,12,10,6]
[3,10,11,12,4,7,9,2,6,8,1,5]=>[11,8,5,6,2,9,3,12,1,10,7,4]
[8,9,10,3,4,7,2,6,12,1,5,11]=>[10,4,5,1,7,2,8,6,3,11,12,9]
[11,8,9,3,4,7,12,2,6,10,1,5]=>[11,8,4,5,2,6,3,9,1,12,10,7]
[10,11,8,12,3,4,7,9,2,6,1,5]=>[9,11,5,6,3,1,7,2,12,10,8,4]
[9,10,11,12,8,3,4,7,2,6,1,5]=>[6,7,1,9,2,11,3,12,10,8,5,4]
[5,3,6,2,4,8,10,12,1,7,9,11]=>[6,2,1,3,9,10,4,5,7,11,12,8]
[5,3,6,11,12,2,4,8,10,1,7,9]=>[1,10,3,6,7,8,11,2,4,12,9,5]
[5,3,6,9,10,2,4,8,12,1,7,11]=>[1,10,3,6,7,2,4,8,5,11,12,9]
[5,11,3,6,9,12,2,4,8,10,1,7]=>[11,1,4,7,8,3,5,9,2,12,10,6]
[5,10,11,12,3,6,9,2,4,8,1,7]=>[8,5,6,9,1,2,11,3,12,10,7,4]
[5,7,3,8,2,4,6,10,12,1,9,11]=>[1,10,3,5,2,6,4,7,8,11,12,9]
[5,7,3,8,11,12,2,4,6,10,1,9]=>[7,1,4,2,8,9,11,3,5,12,10,6]
[5,7,9,3,10,2,4,6,8,12,1,11]=>[1,4,6,2,7,8,3,9,5,11,12,10]
[5,7,9,11,3,12,2,4,6,8,10,1]=>[5,1,2,7,8,3,9,10,4,12,11,6]
[10,5,7,11,12,3,9,2,4,6,8,1]=>[6,2,3,8,9,1,10,4,12,11,7,5]
[8,5,9,10,3,7,2,4,6,12,1,11]=>[2,5,7,1,8,3,9,6,4,11,12,10]
[8,11,5,9,3,7,12,2,4,6,10,1]=>[3,8,1,9,5,6,4,10,2,12,11,7]
[8,10,11,5,12,3,7,9,2,4,6,1]=>[4,1,9,10,6,2,7,3,12,11,8,5]
[5,9,10,11,12,8,3,7,2,4,6,1]=>[7,2,9,3,10,1,4,12,11,8,6,5]
[3,6,7,8,5,2,4,10,12,1,9,11]=>[2,3,10,6,1,5,4,7,8,11,12,9]
[3,6,7,8,5,11,12,2,4,10,1,9]=>[2,3,5,4,8,9,11,1,6,12,10,7]
[9,3,6,7,5,10,2,4,8,12,1,11]=>[3,7,5,2,4,8,1,9,6,11,12,10]
[9,3,6,7,11,5,12,2,4,8,10,1]=>[3,4,8,6,9,1,10,2,5,12,11,7]
[6,10,3,7,11,12,5,9,2,4,8,1]=>[9,1,4,7,10,5,2,12,3,11,8,6]
[6,8,3,9,10,5,7,2,4,12,1,11]=>[8,1,6,4,2,9,3,7,5,11,12,10]
[6,8,9,3,11,5,7,12,2,4,10,1]=>[6,1,2,9,7,3,10,4,5,12,11,8]
[10,6,8,3,11,12,5,7,9,2,4,1]=>[7,2,3,10,8,5,1,12,4,11,9,6]
[9,6,10,11,12,3,8,5,7,2,4,1]=>[10,8,2,1,3,12,6,4,11,9,7,5]
[7,8,9,10,3,6,5,2,4,12,1,11]=>[1,8,2,9,5,3,7,6,4,11,12,10]
[11,7,8,9,3,6,5,12,2,4,10,1]=>[2,9,7,5,3,6,4,10,1,12,11,8]
[10,11,7,8,3,6,12,5,9,2,4,1]=>[6,3,10,8,4,1,12,5,2,11,9,7]
[9,10,11,7,12,3,6,8,5,2,4,1]=>[1,10,7,4,2,12,6,3,11,9,8,5]
[8,9,10,11,12,7,3,6,5,2,4,1]=>[1,2,10,3,12,7,4,11,9,8,6,5]
[4,5,6,3,2,8,10,12,1,7,9,11]=>[1,2,4,3,6,9,10,5,7,11,12,8]
[4,5,6,3,11,12,2,8,10,1,7,9]=>[10,1,2,3,7,8,11,4,5,12,9,6]
[4,5,6,3,9,10,2,8,12,1,7,11]=>[10,1,2,3,7,4,5,8,6,11,12,9]
[4,5,6,11,3,9,12,2,8,10,1,7]=>[11,8,1,2,3,5,6,9,4,12,10,7]
[4,5,6,10,11,12,3,9,2,8,1,7]=>[7,9,4,11,1,2,3,5,12,10,8,6]
[7,4,5,3,8,2,6,10,12,1,9,11]=>[2,3,10,4,1,6,5,7,8,11,12,9]
[7,4,5,3,8,11,12,2,6,10,1,9]=>[2,3,5,1,8,9,11,4,6,12,10,7]
[7,4,5,9,3,10,2,6,8,12,1,11]=>[2,3,5,1,7,8,4,9,6,11,12,10]
[7,4,5,9,11,3,12,2,6,8,10,1]=>[6,8,2,1,3,4,9,10,5,12,11,7]
[7,10,4,5,11,12,3,9,2,6,8,1]=>[7,1,9,10,3,4,2,5,12,11,8,6]
[4,8,5,9,10,3,7,2,6,12,1,11]=>[6,8,3,1,2,4,9,7,5,11,12,10]
[4,8,11,5,9,3,7,12,2,6,10,1]=>[9,4,2,6,7,1,5,10,3,12,11,8]
[4,8,10,11,5,12,3,7,9,2,6,1]=>[2,10,5,7,3,8,1,4,12,11,9,6]
[4,5,9,10,11,12,8,3,7,2,6,1]=>[3,8,4,10,5,12,1,2,11,9,7,6]
[6,7,4,8,3,5,2,10,12,1,9,11]=>[3,1,5,2,6,4,10,7,8,11,12,9]
[6,7,4,8,3,5,11,12,2,10,1,9]=>[1,9,3,2,4,11,5,6,7,12,10,8]
[6,7,9,4,3,5,10,2,8,12,1,11]=>[1,5,4,2,6,8,3,9,7,11,12,10]
[6,7,9,4,11,3,5,12,2,8,10,1]=>[1,4,2,6,7,3,9,10,5,12,11,8]
[10,6,7,4,11,12,3,5,9,2,8,1]=>[2,7,3,8,10,4,1,5,12,11,9,6]
[8,6,9,4,10,3,5,7,2,12,1,11]=>[4,2,6,1,7,3,9,8,5,11,12,10]
[8,6,9,11,4,3,5,7,12,2,10,1]=>[2,6,5,1,7,3,8,10,4,12,11,9]
[8,10,6,11,4,12,3,5,7,9,2,1]=>[5,3,1,7,8,2,9,4,12,11,10,6]
[6,9,4,10,11,12,8,3,5,7,2,1]=>[8,4,1,2,9,5,12,3,11,10,7,6]
[7,4,8,9,10,6,3,5,2,12,1,11]=>[3,1,7,4,9,2,8,6,5,11,12,10]
[7,11,4,8,9,6,3,5,12,2,10,1]=>[1,7,4,8,3,6,5,10,2,12,11,9]
[7,8,10,4,11,6,12,3,5,9,2,1]=>[1,2,8,6,9,4,3,5,12,11,10,7]
[9,7,10,4,11,12,6,8,3,5,2,1]=>[9,2,1,7,5,3,12,4,11,10,8,6]
[4,8,9,10,11,12,7,6,3,5,2,1]=>[2,3,4,9,5,12,11,1,10,8,7,6]
[5,6,7,8,4,3,2,10,12,1,9,11]=>[1,2,3,6,5,4,10,7,8,11,12,9]
[5,6,7,8,4,3,11,12,2,10,1,9]=>[1,2,3,5,4,9,11,6,7,12,10,8]
[9,5,6,7,4,3,10,2,8,12,1,11]=>[2,3,6,5,4,8,1,9,7,11,12,10]
[9,5,6,7,4,11,3,12,2,8,10,1]=>[2,3,5,4,7,1,9,10,6,12,11,8]
[5,10,6,7,4,11,12,3,9,2,8,1]=>[3,4,8,10,1,5,2,6,12,11,9,7]
[8,9,5,6,4,10,3,7,2,12,1,11]=>[3,5,4,1,7,2,9,8,6,11,12,10]
[8,9,5,6,11,4,3,7,12,2,10,1]=>[3,4,1,7,6,2,8,10,5,12,11,9]
[10,8,5,6,11,4,12,3,7,9,2,1]=>[3,4,6,2,8,1,9,5,12,11,10,7]
[9,5,10,6,11,12,4,8,3,7,2,1]=>[7,9,4,2,1,3,5,12,11,10,8,6]
[7,8,9,5,10,4,6,3,2,12,1,11]=>[1,4,2,6,3,9,8,7,5,11,12,10]
[7,8,9,11,5,4,6,3,12,2,10,1]=>[1,2,6,5,3,8,7,10,4,12,11,9]
[10,7,8,11,5,4,6,12,3,9,2,1]=>[2,6,5,3,7,1,9,4,12,11,10,8]
[9,10,7,11,5,12,4,6,8,3,2,1]=>[5,3,1,7,2,8,4,12,11,10,9,6]
[8,9,5,10,11,12,7,4,6,3,2,1]=>[1,4,2,8,5,12,3,11,10,9,7,6]
[6,7,8,9,10,5,4,3,2,12,1,11]=>[1,2,3,4,9,8,7,6,5,11,12,10]
[11,6,7,8,9,5,4,3,12,2,10,1]=>[2,3,4,8,7,6,5,10,1,12,11,9]
[10,11,6,7,8,5,4,12,3,9,2,1]=>[3,4,7,6,5,1,9,2,12,11,10,8]
[9,10,11,6,7,5,12,4,8,3,2,1]=>[4,1,6,5,2,8,3,12,11,10,9,7]
[8,9,10,11,6,12,5,7,4,3,2,1]=>[1,2,5,3,7,4,12,11,10,9,8,6]
[6,5,2,1,4,3,12,11,8,7,10,9]=>[9,2,1,12,10,11,3,5,8,4,6,7]
[2,1,4,3,6,5,8,7,9,11,12,10]=>[1,3,5,7,10,12,2,4,6,8,9,11]
[2,1,4,3,6,5,7,9,10,8,12,11]=>[1,3,5,8,9,12,2,4,6,7,10,11]
[2,1,4,3,6,5,7,9,8,11,12,10]=>[1,3,5,8,10,12,2,4,6,7,9,11]
[2,1,4,3,6,5,7,8,10,11,12,9]=>[1,3,5,9,10,12,2,4,6,7,8,11]
[2,1,4,3,5,7,8,6,10,9,12,11]=>[1,3,6,7,9,12,2,4,5,8,10,11]
[2,1,4,3,5,7,8,6,9,11,12,10]=>[1,3,6,7,10,12,2,4,5,8,9,11]
[2,1,4,3,5,7,6,9,10,8,12,11]=>[1,3,6,8,9,12,2,4,5,7,10,11]
[2,1,4,3,5,7,6,9,8,11,12,10]=>[1,3,6,8,10,12,2,4,5,7,9,11]
[2,1,4,3,5,7,6,8,10,11,12,9]=>[1,3,6,9,10,12,2,4,5,7,8,11]
[2,1,4,3,5,6,8,9,10,7,12,11]=>[1,3,7,8,9,12,2,4,5,6,10,11]
[2,1,4,3,5,6,8,9,7,11,12,10]=>[1,3,7,8,10,12,2,4,5,6,9,11]
[2,1,4,3,5,6,8,7,10,11,12,9]=>[1,3,7,9,10,12,2,4,5,6,8,11]
[2,1,4,3,5,6,7,9,10,11,12,8]=>[1,3,8,9,10,12,2,4,5,6,7,11]
[2,1,3,5,6,4,8,7,10,9,12,11]=>[1,4,5,7,9,12,2,3,6,8,10,11]
[2,1,3,5,6,4,8,7,9,11,12,10]=>[1,4,5,7,10,12,2,3,6,8,9,11]
[2,1,3,5,6,4,7,9,10,8,12,11]=>[1,4,5,8,9,12,2,3,6,7,10,11]
[2,1,3,5,6,4,7,9,8,11,12,10]=>[1,4,5,8,10,12,2,3,6,7,9,11]
[2,1,3,5,6,4,7,8,10,11,12,9]=>[1,4,5,9,10,12,2,3,6,7,8,11]
[2,1,3,5,4,7,8,6,10,9,12,11]=>[1,4,6,7,9,12,2,3,5,8,10,11]
[2,1,3,5,4,7,8,6,9,11,12,10]=>[1,4,6,7,10,12,2,3,5,8,9,11]
[2,1,3,5,4,7,6,9,10,8,12,11]=>[1,4,6,8,9,12,2,3,5,7,10,11]
[2,1,3,5,4,7,6,9,8,11,12,10]=>[1,4,6,8,10,12,2,3,5,7,9,11]
[2,1,3,5,4,7,6,8,10,11,12,9]=>[1,4,6,9,10,12,2,3,5,7,8,11]
[2,1,3,5,4,6,8,9,10,7,12,11]=>[1,4,7,8,9,12,2,3,5,6,10,11]
[2,1,3,5,4,6,8,9,7,11,12,10]=>[1,4,7,8,10,12,2,3,5,6,9,11]
[2,1,3,5,4,6,8,7,10,11,12,9]=>[1,4,7,9,10,12,2,3,5,6,8,11]
[2,1,3,5,4,6,7,9,10,11,12,8]=>[1,4,8,9,10,12,2,3,5,6,7,11]
[2,1,3,4,6,7,8,5,10,9,12,11]=>[1,5,6,7,9,12,2,3,4,8,10,11]
[2,1,3,4,6,7,8,5,9,11,12,10]=>[1,5,6,7,10,12,2,3,4,8,9,11]
[2,1,3,4,6,7,5,9,10,8,12,11]=>[1,5,6,8,9,12,2,3,4,7,10,11]
[2,1,3,4,6,7,5,9,8,11,12,10]=>[1,5,6,8,10,12,2,3,4,7,9,11]
[2,1,3,4,6,7,5,8,10,11,12,9]=>[1,5,6,9,10,12,2,3,4,7,8,11]
[2,1,3,4,6,5,8,9,10,7,12,11]=>[1,5,7,8,9,12,2,3,4,6,10,11]
[2,1,3,4,6,5,8,9,7,11,12,10]=>[1,5,7,8,10,12,2,3,4,6,9,11]
[2,1,3,4,6,5,8,7,10,11,12,9]=>[1,5,7,9,10,12,2,3,4,6,8,11]
[2,1,3,4,6,5,7,9,10,11,12,8]=>[1,5,8,9,10,12,2,3,4,6,7,11]
[2,1,3,4,5,7,8,9,10,6,12,11]=>[1,6,7,8,9,12,2,3,4,5,10,11]
[2,1,3,4,5,7,8,9,6,11,12,10]=>[1,6,7,8,10,12,2,3,4,5,9,11]
[2,1,3,4,5,7,8,6,10,11,12,9]=>[1,6,7,9,10,12,2,3,4,5,8,11]
[2,1,3,4,5,7,6,9,10,11,12,8]=>[1,6,8,9,10,12,2,3,4,5,7,11]
[2,1,3,4,5,6,8,9,10,11,12,7]=>[1,7,8,9,10,12,2,3,4,5,6,11]
[1,3,4,2,6,5,8,7,10,9,12,11]=>[2,3,5,7,9,12,1,4,6,8,10,11]
[1,3,4,2,6,5,8,7,9,11,12,10]=>[2,3,5,7,10,12,1,4,6,8,9,11]
[1,3,4,2,6,5,7,9,10,8,12,11]=>[2,3,5,8,9,12,1,4,6,7,10,11]
[1,3,4,2,6,5,7,9,8,11,12,10]=>[2,3,5,8,10,12,1,4,6,7,9,11]
[1,3,4,2,6,5,7,8,10,11,12,9]=>[2,3,5,9,10,12,1,4,6,7,8,11]
[1,3,4,2,5,7,8,6,10,9,12,11]=>[2,3,6,7,9,12,1,4,5,8,10,11]
[1,3,4,2,5,7,8,6,9,11,12,10]=>[2,3,6,7,10,12,1,4,5,8,9,11]
[1,3,4,2,5,7,6,9,10,8,12,11]=>[2,3,6,8,9,12,1,4,5,7,10,11]
[1,3,4,2,5,7,6,9,8,11,12,10]=>[2,3,6,8,10,12,1,4,5,7,9,11]
[1,3,4,2,5,7,6,8,10,11,12,9]=>[2,3,6,9,10,12,1,4,5,7,8,11]
[1,3,4,2,5,6,8,9,10,7,12,11]=>[2,3,7,8,9,12,1,4,5,6,10,11]
[1,3,4,2,5,6,8,9,7,11,12,10]=>[2,3,7,8,10,12,1,4,5,6,9,11]
[1,3,4,2,5,6,8,7,10,11,12,9]=>[2,3,7,9,10,12,1,4,5,6,8,11]
[1,3,4,2,5,6,7,9,10,11,12,8]=>[2,3,8,9,10,12,1,4,5,6,7,11]
[1,3,2,5,6,4,8,7,10,9,12,11]=>[2,4,5,7,9,12,1,3,6,8,10,11]
[1,3,2,5,6,4,8,7,9,11,12,10]=>[2,4,5,7,10,12,1,3,6,8,9,11]
[1,3,2,5,6,4,7,9,10,8,12,11]=>[2,4,5,8,9,12,1,3,6,7,10,11]
[1,3,2,5,6,4,7,9,8,11,12,10]=>[2,4,5,8,10,12,1,3,6,7,9,11]
[1,3,2,5,6,4,7,8,10,11,12,9]=>[2,4,5,9,10,12,1,3,6,7,8,11]
[1,3,2,5,4,7,8,6,10,9,12,11]=>[2,4,6,7,9,12,1,3,5,8,10,11]
[1,3,2,5,4,7,8,6,9,11,12,10]=>[2,4,6,7,10,12,1,3,5,8,9,11]
[1,3,2,5,4,7,6,9,10,8,12,11]=>[2,4,6,8,9,12,1,3,5,7,10,11]
[1,3,2,5,4,7,6,9,8,11,12,10]=>[2,4,6,8,10,12,1,3,5,7,9,11]
[1,3,2,5,4,7,6,8,10,11,12,9]=>[2,4,6,9,10,12,1,3,5,7,8,11]
[1,3,2,5,4,6,8,9,10,7,12,11]=>[2,4,7,8,9,12,1,3,5,6,10,11]
[1,3,2,5,4,6,8,9,7,11,12,10]=>[2,4,7,8,10,12,1,3,5,6,9,11]
[1,3,2,5,4,6,8,7,10,11,12,9]=>[2,4,7,9,10,12,1,3,5,6,8,11]
[1,3,2,5,4,6,7,9,10,11,12,8]=>[2,4,8,9,10,12,1,3,5,6,7,11]
[1,3,2,4,6,7,8,5,10,9,12,11]=>[2,5,6,7,9,12,1,3,4,8,10,11]
[1,3,2,4,6,7,8,5,9,11,12,10]=>[2,5,6,7,10,12,1,3,4,8,9,11]
[1,3,2,4,6,7,5,9,10,8,12,11]=>[2,5,6,8,9,12,1,3,4,7,10,11]
[1,3,2,4,6,7,5,9,8,11,12,10]=>[2,5,6,8,10,12,1,3,4,7,9,11]
[1,3,2,4,6,7,5,8,10,11,12,9]=>[2,5,6,9,10,12,1,3,4,7,8,11]
[1,3,2,4,6,5,8,9,10,7,12,11]=>[2,5,7,8,9,12,1,3,4,6,10,11]
[1,3,2,4,6,5,8,9,7,11,12,10]=>[2,5,7,8,10,12,1,3,4,6,9,11]
[1,3,2,4,6,5,8,7,10,11,12,9]=>[2,5,7,9,10,12,1,3,4,6,8,11]
[1,3,2,4,6,5,7,9,10,11,12,8]=>[2,5,8,9,10,12,1,3,4,6,7,11]
[1,3,2,4,5,7,8,9,10,6,12,11]=>[2,6,7,8,9,12,1,3,4,5,10,11]
[1,3,2,4,5,7,8,9,6,11,12,10]=>[2,6,7,8,10,12,1,3,4,5,9,11]
[1,3,2,4,5,7,8,6,10,11,12,9]=>[2,6,7,9,10,12,1,3,4,5,8,11]
[1,3,2,4,5,7,6,9,10,11,12,8]=>[2,6,8,9,10,12,1,3,4,5,7,11]
[1,3,2,4,5,6,8,9,10,11,12,7]=>[2,7,8,9,10,12,1,3,4,5,6,11]
[1,2,4,5,6,3,8,7,10,9,12,11]=>[3,4,5,7,9,12,1,2,6,8,10,11]
[1,2,4,5,6,3,8,7,9,11,12,10]=>[3,4,5,7,10,12,1,2,6,8,9,11]
[1,2,4,5,6,3,7,9,10,8,12,11]=>[3,4,5,8,9,12,1,2,6,7,10,11]
[1,2,4,5,6,3,7,9,8,11,12,10]=>[3,4,5,8,10,12,1,2,6,7,9,11]
[1,2,4,5,6,3,7,8,10,11,12,9]=>[3,4,5,9,10,12,1,2,6,7,8,11]
[1,2,4,5,3,7,8,6,10,9,12,11]=>[3,4,6,7,9,12,1,2,5,8,10,11]
[1,2,4,5,3,7,8,6,9,11,12,10]=>[3,4,6,7,10,12,1,2,5,8,9,11]
[1,2,4,5,3,7,6,9,10,8,12,11]=>[3,4,6,8,9,12,1,2,5,7,10,11]
[1,2,4,5,3,7,6,9,8,11,12,10]=>[3,4,6,8,10,12,1,2,5,7,9,11]
[1,2,4,5,3,7,6,8,10,11,12,9]=>[3,4,6,9,10,12,1,2,5,7,8,11]
[1,2,4,5,3,6,8,9,10,7,12,11]=>[3,4,7,8,9,12,1,2,5,6,10,11]
[1,2,4,5,3,6,8,9,7,11,12,10]=>[3,4,7,8,10,12,1,2,5,6,9,11]
[1,2,4,5,3,6,8,7,10,11,12,9]=>[3,4,7,9,10,12,1,2,5,6,8,11]
[1,2,4,5,3,6,7,9,10,11,12,8]=>[3,4,8,9,10,12,1,2,5,6,7,11]
[1,2,4,3,6,7,8,5,10,9,12,11]=>[3,5,6,7,9,12,1,2,4,8,10,11]
[1,2,4,3,6,7,8,5,9,11,12,10]=>[3,5,6,7,10,12,1,2,4,8,9,11]
[1,2,4,3,6,7,5,9,10,8,12,11]=>[3,5,6,8,9,12,1,2,4,7,10,11]
[1,2,4,3,6,7,5,9,8,11,12,10]=>[3,5,6,8,10,12,1,2,4,7,9,11]
[1,2,4,3,6,7,5,8,10,11,12,9]=>[3,5,6,9,10,12,1,2,4,7,8,11]
[1,2,4,3,6,5,8,9,10,7,12,11]=>[3,5,7,8,9,12,1,2,4,6,10,11]
[1,2,4,3,6,5,8,9,7,11,12,10]=>[3,5,7,8,10,12,1,2,4,6,9,11]
[1,2,4,3,6,5,8,7,10,11,12,9]=>[3,5,7,9,10,12,1,2,4,6,8,11]
[1,2,4,3,6,5,7,9,10,11,12,8]=>[3,5,8,9,10,12,1,2,4,6,7,11]
[1,2,4,3,5,7,8,9,10,6,12,11]=>[3,6,7,8,9,12,1,2,4,5,10,11]
[1,2,4,3,5,7,8,9,6,11,12,10]=>[3,6,7,8,10,12,1,2,4,5,9,11]
[1,2,4,3,5,7,8,6,10,11,12,9]=>[3,6,7,9,10,12,1,2,4,5,8,11]
[1,2,4,3,5,7,6,9,10,11,12,8]=>[3,6,8,9,10,12,1,2,4,5,7,11]
[1,2,4,3,5,6,8,9,10,11,12,7]=>[3,7,8,9,10,12,1,2,4,5,6,11]
[1,2,3,5,6,7,8,4,10,9,12,11]=>[4,5,6,7,9,12,1,2,3,8,10,11]
[1,2,3,5,6,7,8,4,9,11,12,10]=>[4,5,6,7,10,12,1,2,3,8,9,11]
[1,2,3,5,6,7,4,9,10,8,12,11]=>[4,5,6,8,9,12,1,2,3,7,10,11]
[1,2,3,5,6,7,4,9,8,11,12,10]=>[4,5,6,8,10,12,1,2,3,7,9,11]
[1,2,3,5,6,7,4,8,10,11,12,9]=>[4,5,6,9,10,12,1,2,3,7,8,11]
[1,2,3,5,6,4,8,9,10,7,12,11]=>[4,5,7,8,9,12,1,2,3,6,10,11]
[1,2,3,5,6,4,8,9,7,11,12,10]=>[4,5,7,8,10,12,1,2,3,6,9,11]
[1,2,3,5,6,4,8,7,10,11,12,9]=>[4,5,7,9,10,12,1,2,3,6,8,11]
[1,2,3,5,6,4,7,9,10,11,12,8]=>[4,5,8,9,10,12,1,2,3,6,7,11]
[1,2,3,5,4,7,8,9,10,6,12,11]=>[4,6,7,8,9,12,1,2,3,5,10,11]
[1,2,3,5,4,7,8,9,6,11,12,10]=>[4,6,7,8,10,12,1,2,3,5,9,11]
[1,2,3,5,4,7,8,6,10,11,12,9]=>[4,6,7,9,10,12,1,2,3,5,8,11]
[1,2,3,5,4,7,6,9,10,11,12,8]=>[4,6,8,9,10,12,1,2,3,5,7,11]
[1,2,3,5,4,6,8,9,10,11,12,7]=>[4,7,8,9,10,12,1,2,3,5,6,11]
[1,2,3,4,6,7,8,9,10,5,12,11]=>[5,6,7,8,9,12,1,2,3,4,10,11]
[1,2,3,4,6,7,8,9,5,11,12,10]=>[5,6,7,8,10,12,1,2,3,4,9,11]
[1,2,3,4,6,7,8,5,10,11,12,9]=>[5,6,7,9,10,12,1,2,3,4,8,11]
[1,2,3,4,6,7,5,9,10,11,12,8]=>[5,6,8,9,10,12,1,2,3,4,7,11]
[1,2,3,4,6,5,8,9,10,11,12,7]=>[5,7,8,9,10,12,1,2,3,4,6,11]
[1,2,3,4,5,7,8,9,10,11,12,6]=>[6,7,8,9,10,12,1,2,3,4,5,11]
[12,1,2,3,4,5,6,7,8,11,9,10]=>[11,12,2,3,4,5,6,7,8,9,10,1]
[12,11,1,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,12,2,1]
[12,2,1,3,4,5,6,7,8,9,10,11]=>[3,2,4,5,6,7,8,9,10,11,12,1]
[6,12,5,11,4,10,3,9,2,1,8,7]=>[1,3,5,7,9,12,10,11,8,6,4,2]
[6,12,5,11,4,10,3,2,9,8,1,7]=>[1,3,5,7,11,12,8,10,9,6,4,2]
[6,12,5,11,4,10,3,2,9,1,8,7]=>[1,3,5,7,12,8,10,11,9,6,4,2]
[6,12,5,11,4,10,3,2,1,9,8,7]=>[1,3,5,7,12,8,11,9,10,6,4,2]
[6,12,5,11,4,3,10,9,2,8,1,7]=>[1,3,5,9,11,12,6,10,8,7,4,2]
[6,12,5,11,4,3,10,9,2,1,8,7]=>[1,3,5,9,12,6,10,11,8,7,4,2]
[6,12,5,11,4,3,10,2,9,8,1,7]=>[1,3,5,11,12,6,8,10,9,7,4,2]
[6,12,5,11,4,3,10,2,9,1,8,7]=>[1,3,5,12,6,8,10,11,9,7,4,2]
[6,12,5,11,4,3,10,2,1,9,8,7]=>[1,3,5,12,6,8,11,9,10,7,4,2]
[6,12,5,11,4,3,2,10,9,8,1,7]=>[1,3,5,11,12,6,10,7,9,8,4,2]
[6,12,5,11,4,3,2,10,9,1,8,7]=>[1,3,5,12,6,10,11,7,9,8,4,2]
[6,12,5,11,4,3,2,10,1,9,8,7]=>[1,3,5,12,6,11,7,9,10,8,4,2]
[6,12,5,11,4,3,2,1,10,9,8,7]=>[1,3,5,12,6,11,7,10,8,9,4,2]
[6,12,5,4,11,10,3,9,2,8,1,7]=>[1,3,7,9,11,12,4,10,8,6,5,2]
[6,12,5,4,11,10,3,9,2,1,8,7]=>[1,3,7,9,12,4,10,11,8,6,5,2]
[6,12,5,4,11,10,3,2,9,8,1,7]=>[1,3,7,11,12,4,8,10,9,6,5,2]
[6,12,5,4,11,10,3,2,9,1,8,7]=>[1,3,7,12,4,8,10,11,9,6,5,2]
[6,12,5,4,11,10,3,2,1,9,8,7]=>[1,3,7,12,4,8,11,9,10,6,5,2]
[6,12,5,4,11,3,10,9,2,8,1,7]=>[1,3,9,11,12,4,6,10,8,7,5,2]
[6,12,5,4,11,3,10,9,2,1,8,7]=>[1,3,9,12,4,6,10,11,8,7,5,2]
[6,12,5,4,11,3,10,2,9,8,1,7]=>[1,3,11,12,4,6,8,10,9,7,5,2]
[6,12,5,4,11,3,10,2,9,1,8,7]=>[1,3,12,4,6,8,10,11,9,7,5,2]
[6,12,5,4,11,3,10,2,1,9,8,7]=>[1,3,12,4,6,8,11,9,10,7,5,2]
[6,12,5,4,11,3,2,10,9,8,1,7]=>[1,3,11,12,4,6,10,7,9,8,5,2]
[6,12,5,4,11,3,2,10,9,1,8,7]=>[1,3,12,4,6,10,11,7,9,8,5,2]
[6,12,5,4,11,3,2,10,1,9,8,7]=>[1,3,12,4,6,11,7,9,10,8,5,2]
[6,12,5,4,11,3,2,1,10,9,8,7]=>[1,3,12,4,6,11,7,10,8,9,5,2]
[6,12,5,4,3,11,10,9,2,8,1,7]=>[1,3,9,11,12,4,10,5,8,7,6,2]
[6,12,5,4,3,11,10,9,2,1,8,7]=>[1,3,9,12,4,10,11,5,8,7,6,2]
[6,12,5,4,3,11,10,2,9,8,1,7]=>[1,3,11,12,4,8,10,5,9,7,6,2]
[6,12,5,4,3,11,10,2,9,1,8,7]=>[1,3,12,4,8,10,11,5,9,7,6,2]
[6,12,5,4,3,11,10,2,1,9,8,7]=>[1,3,12,4,8,11,5,9,10,7,6,2]
[6,12,5,4,3,11,2,10,9,8,1,7]=>[1,3,11,12,4,10,5,7,9,8,6,2]
[6,12,5,4,3,11,2,10,9,1,8,7]=>[1,3,12,4,10,11,5,7,9,8,6,2]
[6,12,5,4,3,11,2,10,1,9,8,7]=>[1,3,12,4,11,5,7,9,10,8,6,2]
[6,12,5,4,3,11,2,1,10,9,8,7]=>[1,3,12,4,11,5,7,10,8,9,6,2]
[6,12,5,4,3,2,11,10,9,8,1,7]=>[1,3,11,12,4,10,5,9,6,8,7,2]
[6,12,5,4,3,2,11,10,9,1,8,7]=>[1,3,12,4,10,11,5,9,6,8,7,2]
[6,12,5,4,3,2,11,10,1,9,8,7]=>[1,3,12,4,11,5,9,10,6,8,7,2]
[6,12,5,4,3,2,11,1,10,9,8,7]=>[1,3,12,4,11,5,10,6,8,9,7,2]
[6,12,5,4,3,2,1,11,10,9,8,7]=>[1,3,12,4,11,5,10,6,9,7,8,2]
[6,5,12,11,4,10,3,9,2,8,1,7]=>[1,5,7,9,11,12,2,10,8,6,4,3]
[6,5,12,11,4,10,3,9,2,1,8,7]=>[1,5,7,9,12,2,10,11,8,6,4,3]
[6,5,12,11,4,10,3,2,9,8,1,7]=>[1,5,7,11,12,2,8,10,9,6,4,3]
[6,5,12,11,4,10,3,2,9,1,8,7]=>[1,5,7,12,2,8,10,11,9,6,4,3]
[6,5,12,11,4,10,3,2,1,9,8,7]=>[1,5,7,12,2,8,11,9,10,6,4,3]
[6,5,12,11,4,3,10,9,2,8,1,7]=>[1,5,9,11,12,2,6,10,8,7,4,3]
[6,5,12,11,4,3,10,9,2,1,8,7]=>[1,5,9,12,2,6,10,11,8,7,4,3]
[6,5,12,11,4,3,10,2,9,8,1,7]=>[1,5,11,12,2,6,8,10,9,7,4,3]
[6,5,12,11,4,3,10,2,9,1,8,7]=>[1,5,12,2,6,8,10,11,9,7,4,3]
[6,5,12,11,4,3,10,2,1,9,8,7]=>[1,5,12,2,6,8,11,9,10,7,4,3]
[6,5,12,11,4,3,2,10,9,8,1,7]=>[1,5,11,12,2,6,10,7,9,8,4,3]
[6,5,12,11,4,3,2,10,9,1,8,7]=>[1,5,12,2,6,10,11,7,9,8,4,3]
[6,5,12,11,4,3,2,10,1,9,8,7]=>[1,5,12,2,6,11,7,9,10,8,4,3]
[6,5,12,11,4,3,2,1,10,9,8,7]=>[1,5,12,2,6,11,7,10,8,9,4,3]
[6,5,12,4,11,10,3,9,2,8,1,7]=>[1,7,9,11,12,2,4,10,8,6,5,3]
[6,5,12,4,11,10,3,9,2,1,8,7]=>[1,7,9,12,2,4,10,11,8,6,5,3]
[6,5,12,4,11,10,3,2,9,8,1,7]=>[1,7,11,12,2,4,8,10,9,6,5,3]
[6,5,12,4,11,10,3,2,9,1,8,7]=>[1,7,12,2,4,8,10,11,9,6,5,3]
[6,5,12,4,11,10,3,2,1,9,8,7]=>[1,7,12,2,4,8,11,9,10,6,5,3]
[6,5,12,4,11,3,10,9,2,8,1,7]=>[1,9,11,12,2,4,6,10,8,7,5,3]
[6,5,12,4,11,3,10,9,2,1,8,7]=>[1,9,12,2,4,6,10,11,8,7,5,3]
[6,5,12,4,11,3,10,2,9,8,1,7]=>[1,11,12,2,4,6,8,10,9,7,5,3]
[6,5,12,4,11,3,10,2,9,1,8,7]=>[1,12,2,4,6,8,10,11,9,7,5,3]
[6,5,12,4,11,3,10,2,1,9,8,7]=>[1,12,2,4,6,8,11,9,10,7,5,3]
[6,5,12,4,11,3,2,10,9,8,1,7]=>[1,11,12,2,4,6,10,7,9,8,5,3]
[6,5,12,4,11,3,2,10,9,1,8,7]=>[1,12,2,4,6,10,11,7,9,8,5,3]
[6,5,12,4,11,3,2,10,1,9,8,7]=>[1,12,2,4,6,11,7,9,10,8,5,3]
[6,5,12,4,11,3,2,1,10,9,8,7]=>[1,12,2,4,6,11,7,10,8,9,5,3]
[6,5,12,4,3,11,10,9,2,8,1,7]=>[1,9,11,12,2,4,10,5,8,7,6,3]
[6,5,12,4,3,11,10,9,2,1,8,7]=>[1,9,12,2,4,10,11,5,8,7,6,3]
[6,5,12,4,3,11,10,2,9,8,1,7]=>[1,11,12,2,4,8,10,5,9,7,6,3]
[6,5,12,4,3,11,10,2,9,1,8,7]=>[1,12,2,4,8,10,11,5,9,7,6,3]
[6,5,12,4,3,11,10,2,1,9,8,7]=>[1,12,2,4,8,11,5,9,10,7,6,3]
[6,5,12,4,3,11,2,10,9,8,1,7]=>[1,11,12,2,4,10,5,7,9,8,6,3]
[6,5,12,4,3,11,2,10,9,1,8,7]=>[1,12,2,4,10,11,5,7,9,8,6,3]
[6,5,12,4,3,11,2,10,1,9,8,7]=>[1,12,2,4,11,5,7,9,10,8,6,3]
[6,5,12,4,3,11,2,1,10,9,8,7]=>[1,12,2,4,11,5,7,10,8,9,6,3]
[6,5,12,4,3,2,11,10,9,8,1,7]=>[1,11,12,2,4,10,5,9,6,8,7,3]
[6,5,12,4,3,2,11,10,9,1,8,7]=>[1,12,2,4,10,11,5,9,6,8,7,3]
[6,5,12,4,3,2,11,10,1,9,8,7]=>[1,12,2,4,11,5,9,10,6,8,7,3]
[6,5,12,4,3,2,11,1,10,9,8,7]=>[1,12,2,4,11,5,10,6,8,9,7,3]
[6,5,12,4,3,2,1,11,10,9,8,7]=>[1,12,2,4,11,5,10,6,9,7,8,3]
[6,5,4,12,11,10,3,9,2,8,1,7]=>[1,7,9,11,12,2,10,3,8,6,5,4]
[6,5,4,12,11,10,3,9,2,1,8,7]=>[1,7,9,12,2,10,11,3,8,6,5,4]
[6,5,4,12,11,10,3,2,9,8,1,7]=>[1,7,11,12,2,8,10,3,9,6,5,4]
[6,5,4,12,11,10,3,2,9,1,8,7]=>[1,7,12,2,8,10,11,3,9,6,5,4]
[6,5,4,12,11,10,3,2,1,9,8,7]=>[1,7,12,2,8,11,3,9,10,6,5,4]
[6,5,4,12,11,3,10,9,2,8,1,7]=>[1,9,11,12,2,6,10,3,8,7,5,4]
[6,5,4,12,11,3,10,9,2,1,8,7]=>[1,9,12,2,6,10,11,3,8,7,5,4]
[6,5,4,12,11,3,10,2,9,8,1,7]=>[1,11,12,2,6,8,10,3,9,7,5,4]
[6,5,4,12,11,3,10,2,9,1,8,7]=>[1,12,2,6,8,10,11,3,9,7,5,4]
[6,5,4,12,11,3,10,2,1,9,8,7]=>[1,12,2,6,8,11,3,9,10,7,5,4]
[6,5,4,12,11,3,2,10,9,8,1,7]=>[1,11,12,2,6,10,3,7,9,8,5,4]
[6,5,4,12,11,3,2,10,9,1,8,7]=>[1,12,2,6,10,11,3,7,9,8,5,4]
[6,5,4,12,11,3,2,10,1,9,8,7]=>[1,12,2,6,11,3,7,9,10,8,5,4]
[6,5,4,12,11,3,2,1,10,9,8,7]=>[1,12,2,6,11,3,7,10,8,9,5,4]
[6,5,4,12,3,11,10,9,2,8,1,7]=>[1,9,11,12,2,10,3,5,8,7,6,4]
[6,5,4,12,3,11,10,9,2,1,8,7]=>[1,9,12,2,10,11,3,5,8,7,6,4]
[6,5,4,12,3,11,10,2,9,8,1,7]=>[1,11,12,2,8,10,3,5,9,7,6,4]
[6,5,4,12,3,11,10,2,9,1,8,7]=>[1,12,2,8,10,11,3,5,9,7,6,4]
[6,5,4,12,3,11,10,2,1,9,8,7]=>[1,12,2,8,11,3,5,9,10,7,6,4]
[6,5,4,12,3,11,2,10,9,8,1,7]=>[1,11,12,2,10,3,5,7,9,8,6,4]
[6,5,4,12,3,11,2,10,9,1,8,7]=>[1,12,2,10,11,3,5,7,9,8,6,4]
[6,5,4,12,3,11,2,10,1,9,8,7]=>[1,12,2,11,3,5,7,9,10,8,6,4]
[6,5,4,12,3,11,2,1,10,9,8,7]=>[1,12,2,11,3,5,7,10,8,9,6,4]
[6,5,4,12,3,2,11,10,9,8,1,7]=>[1,11,12,2,10,3,5,9,6,8,7,4]
[6,5,4,12,3,2,11,10,9,1,8,7]=>[1,12,2,10,11,3,5,9,6,8,7,4]
[6,5,4,12,3,2,11,10,1,9,8,7]=>[1,12,2,11,3,5,9,10,6,8,7,4]
[6,5,4,12,3,2,11,1,10,9,8,7]=>[1,12,2,11,3,5,10,6,8,9,7,4]
[6,5,4,12,3,2,1,11,10,9,8,7]=>[1,12,2,11,3,5,10,6,9,7,8,4]
[6,5,4,3,12,11,10,9,2,8,1,7]=>[1,9,11,12,2,10,3,8,4,7,6,5]
[6,5,4,3,12,11,10,9,2,1,8,7]=>[1,9,12,2,10,11,3,8,4,7,6,5]
[6,5,4,3,12,11,10,2,9,8,1,7]=>[1,11,12,2,8,10,3,9,4,7,6,5]
[6,5,4,3,12,11,10,2,9,1,8,7]=>[1,12,2,8,10,11,3,9,4,7,6,5]
[6,5,4,3,12,11,10,2,1,9,8,7]=>[1,12,2,8,11,3,9,10,4,7,6,5]
[6,5,4,3,12,11,2,10,9,8,1,7]=>[1,11,12,2,10,3,7,9,4,8,6,5]
[6,5,4,3,12,11,2,10,9,1,8,7]=>[1,12,2,10,11,3,7,9,4,8,6,5]
[6,5,4,3,12,11,2,10,1,9,8,7]=>[1,12,2,11,3,7,9,10,4,8,6,5]
[6,5,4,3,12,11,2,1,10,9,8,7]=>[1,12,2,11,3,7,10,4,8,9,6,5]
[6,5,4,3,12,2,11,10,9,8,1,7]=>[1,11,12,2,10,3,9,4,6,8,7,5]
[6,5,4,3,12,2,11,10,9,1,8,7]=>[1,12,2,10,11,3,9,4,6,8,7,5]
[6,5,4,3,12,2,11,10,1,9,8,7]=>[1,12,2,11,3,9,10,4,6,8,7,5]
[6,5,4,3,12,2,11,1,10,9,8,7]=>[1,12,2,11,3,10,4,6,8,9,7,5]
[6,5,4,3,12,2,1,11,10,9,8,7]=>[1,12,2,11,3,10,4,6,9,7,8,5]
[6,5,4,3,2,12,11,10,9,8,1,7]=>[1,11,12,2,10,3,9,4,8,5,7,6]
[6,5,4,3,2,12,11,10,9,1,8,7]=>[1,12,2,10,11,3,9,4,8,5,7,6]
[6,5,4,3,2,12,11,10,1,9,8,7]=>[1,12,2,11,3,9,10,4,8,5,7,6]
[6,5,4,3,2,12,11,1,10,9,8,7]=>[1,12,2,11,3,10,4,8,9,5,7,6]
[6,5,4,3,2,12,1,11,10,9,8,7]=>[1,12,2,11,3,10,4,9,5,7,8,6]
[2,1,4,3,6,5,8,7,12,9,11,10]=>[12,1,3,5,7,10,11,2,4,6,8,9]
[2,1,4,3,6,5,10,7,9,8,12,11]=>[9,12,1,3,5,8,2,4,6,7,10,11]
[2,1,4,3,6,5,12,11,9,7,8,10]=>[10,11,9,12,1,3,5,8,2,4,6,7]
[2,1,4,3,6,5,12,7,8,10,11,9]=>[10,12,1,3,5,8,9,11,2,4,6,7]
[2,1,4,3,8,5,7,6,10,9,12,11]=>[7,9,1,3,5,12,2,4,6,8,10,11]
[2,1,4,3,8,5,7,6,12,9,11,10]=>[12,7,1,3,5,10,11,2,4,6,8,9]
[2,1,4,3,10,9,7,5,6,8,12,11]=>[12,8,7,9,1,3,6,2,4,5,10,11]
[2,1,4,3,12,9,7,11,6,5,8,10]=>[7,10,9,6,11,12,1,3,8,2,4,5]
[2,1,4,3,12,10,7,5,8,6,11,9]=>[9,7,12,8,10,1,3,6,11,2,4,5]
[2,1,4,3,10,5,6,8,9,7,12,11]=>[8,9,12,1,3,6,7,2,4,5,10,11]
[2,1,4,3,12,11,6,8,9,5,7,10]=>[10,7,8,11,9,12,1,3,6,2,4,5]
[2,1,4,3,12,5,11,8,6,10,7,9]=>[11,8,12,9,10,1,3,6,7,2,4,5]
[2,1,4,3,12,5,6,7,9,10,11,8]=>[9,10,12,1,3,6,7,8,11,2,4,5]
[2,1,6,3,5,4,8,7,10,9,12,11]=>[5,7,1,3,9,12,2,4,6,8,10,11]
[2,1,6,3,5,4,8,7,12,9,11,10]=>[12,5,1,3,7,10,11,2,4,6,8,9]
[2,1,6,3,5,4,10,7,9,8,12,11]=>[9,3,12,1,5,8,2,4,6,7,10,11]
[2,1,6,3,5,4,12,11,9,7,8,10]=>[3,10,11,9,12,1,5,8,2,4,6,7]
[2,1,6,3,5,4,12,7,8,10,11,9]=>[10,3,12,1,5,8,9,11,2,4,6,7]
[2,1,8,7,5,3,4,6,10,9,12,11]=>[9,5,12,6,1,4,2,3,7,8,10,11]
[2,1,8,7,5,3,4,6,12,9,11,10]=>[5,12,10,4,1,3,11,2,6,7,8,9]
[2,1,10,7,5,9,4,3,6,8,12,11]=>[5,7,4,12,8,9,1,6,2,3,10,11]
[2,1,12,7,5,9,4,11,6,3,8,10]=>[10,5,4,7,9,6,11,12,1,8,2,3]
[2,1,12,7,5,10,4,3,8,6,11,9]=>[5,7,4,9,12,8,10,1,6,11,2,3]
[2,1,10,8,5,3,6,4,9,7,12,11]=>[7,5,9,12,6,1,4,8,2,3,10,11]
[2,1,12,8,5,11,6,4,9,3,7,10]=>[8,5,7,4,10,11,9,12,1,6,2,3]
[2,1,12,8,5,3,11,4,6,10,7,9]=>[5,11,12,8,4,9,10,1,6,7,2,3]
[2,1,12,9,5,3,6,7,4,10,11,8]=>[7,5,8,10,12,6,1,4,9,11,2,3]
[2,1,8,3,4,6,7,5,10,9,12,11]=>[6,7,9,12,1,4,2,3,5,8,10,11]
[2,1,8,3,4,6,7,5,12,9,11,10]=>[12,6,7,10,1,3,11,2,4,5,8,9]
[2,1,10,9,4,6,7,3,5,8,12,11]=>[6,12,5,8,7,9,1,4,2,3,10,11]
[2,1,12,9,4,6,7,11,5,3,8,10]=>[6,7,10,5,9,4,11,12,1,8,2,3]
[2,1,12,10,4,6,7,3,8,5,11,9]=>[6,9,5,7,12,8,10,1,4,11,2,3]
[2,1,10,3,9,6,4,8,5,7,12,11]=>[6,12,9,7,8,1,4,5,2,3,10,11]
[2,1,12,11,9,6,4,8,5,3,7,10]=>[10,7,6,9,11,8,5,12,1,4,2,3]
[2,1,12,3,10,6,11,8,4,5,7,9]=>[6,9,10,11,8,5,12,1,4,7,2,3]
[2,1,12,3,10,6,4,7,9,5,11,8]=>[6,12,8,10,7,9,1,4,5,11,2,3]
[2,1,10,3,4,5,7,8,9,6,12,11]=>[7,8,9,12,1,4,5,6,2,3,10,11]
[2,1,12,11,4,5,7,8,9,3,6,10]=>[7,10,5,6,8,11,9,12,1,4,2,3]
[2,1,12,3,11,5,7,8,4,10,6,9]=>[7,11,6,8,12,9,10,1,4,5,2,3]
[2,1,12,3,4,11,7,5,9,10,6,8]=>[7,11,9,12,8,10,1,4,5,6,2,3]
[2,1,12,3,4,5,6,8,9,10,11,7]=>[8,9,10,12,1,4,5,6,7,11,2,3]
[4,1,3,2,6,5,8,7,10,9,12,11]=>[3,5,1,7,9,12,2,4,6,8,10,11]
[4,1,3,2,6,5,8,7,12,9,11,10]=>[12,3,1,5,7,10,11,2,4,6,8,9]
[4,1,3,2,6,5,10,7,9,8,12,11]=>[9,1,12,3,5,8,2,4,6,7,10,11]
[4,1,3,2,6,5,12,11,9,7,8,10]=>[1,10,11,9,12,3,5,8,2,4,6,7]
[4,1,3,2,6,5,12,7,8,10,11,9]=>[10,1,12,3,5,8,9,11,2,4,6,7]
[4,1,3,2,8,5,7,6,10,9,12,11]=>[7,1,9,3,5,12,2,4,6,8,10,11]
[4,1,3,2,8,5,7,6,12,9,11,10]=>[1,12,7,3,5,10,11,2,4,6,8,9]
[4,1,3,2,10,9,7,5,6,8,12,11]=>[12,1,8,7,9,3,6,2,4,5,10,11]
[4,1,3,2,12,9,7,11,6,5,8,10]=>[7,10,1,9,6,11,12,3,8,2,4,5]
[4,1,3,2,12,10,7,5,8,6,11,9]=>[9,1,7,12,8,10,3,6,11,2,4,5]
[4,1,3,2,10,5,6,8,9,7,12,11]=>[8,1,9,12,3,6,7,2,4,5,10,11]
[4,1,3,2,12,11,6,8,9,5,7,10]=>[10,1,7,8,11,9,12,3,6,2,4,5]
[4,1,3,2,12,5,11,8,6,10,7,9]=>[11,1,8,12,9,10,3,6,7,2,4,5]
[4,1,3,2,12,5,6,7,9,10,11,8]=>[9,1,10,12,3,6,7,8,11,2,4,5]
[6,5,3,1,2,4,8,7,10,9,12,11]=>[7,3,9,2,1,12,4,5,6,8,10,11]
[6,5,3,1,2,4,8,7,12,9,11,10]=>[3,12,7,2,1,10,11,4,5,6,8,9]
[6,5,3,1,2,4,10,7,9,8,12,11]=>[3,9,2,1,12,8,4,5,6,7,10,11]
[6,5,3,1,2,4,12,11,9,7,8,10]=>[10,2,1,11,3,9,12,8,4,5,6,7]
[6,5,3,1,2,4,12,7,8,10,11,9]=>[3,10,2,1,12,8,9,11,4,5,6,7]
[8,5,3,7,2,1,4,6,10,9,12,11]=>[3,5,2,9,12,6,4,1,7,8,10,11]
[8,5,3,7,2,1,4,6,12,9,11,10]=>[12,3,2,5,10,4,1,11,6,7,8,9]
[10,5,3,7,2,9,4,1,6,8,12,11]=>[7,2,12,3,5,4,8,9,6,1,10,11]
[12,5,3,7,2,9,4,11,6,1,8,10]=>[2,10,7,3,4,9,5,6,11,12,8,1]
[12,5,3,7,2,10,4,1,8,6,11,9]=>[7,2,9,3,4,12,5,8,10,6,11,1]
[10,5,3,8,2,1,6,4,9,7,12,11]=>[3,5,2,7,9,12,6,4,8,1,10,11]
[12,5,3,8,2,11,6,4,9,1,7,10]=>[2,8,7,10,3,4,11,5,9,12,6,1]
[12,5,3,8,2,1,11,4,6,10,7,9]=>[11,2,12,3,5,8,4,9,10,6,7,1]
[12,5,3,9,2,1,6,7,4,10,11,8]=>[3,5,2,7,8,10,12,6,4,9,11,1]
[8,6,3,1,4,2,7,5,10,9,12,11]=>[5,3,7,9,2,12,4,1,6,8,10,11]
[8,6,3,1,4,2,7,5,12,9,11,10]=>[3,12,5,7,2,10,1,11,4,6,8,9]
[10,6,3,9,4,2,7,1,5,8,12,11]=>[5,12,3,2,6,8,7,9,4,1,10,11]
[12,6,3,9,4,2,7,11,5,1,8,10]=>[5,7,2,10,3,6,9,4,11,12,8,1]
[12,6,3,10,4,2,7,1,8,5,11,9]=>[5,9,3,2,6,7,12,8,10,4,11,1]
[10,6,3,1,9,2,4,8,5,7,12,11]=>[12,3,9,6,2,7,8,4,5,1,10,11]
[12,6,3,11,9,2,4,8,5,1,7,10]=>[10,6,2,7,9,11,3,8,5,12,4,1]
[12,6,3,1,10,2,11,8,4,5,7,9]=>[9,10,2,11,3,8,12,6,4,5,7,1]
[12,6,3,1,10,2,4,7,9,5,11,8]=>[12,3,8,2,10,6,7,9,4,5,11,1]
[10,7,3,1,4,5,2,8,9,6,12,11]=>[5,3,6,8,9,2,12,4,7,1,10,11]
[12,7,3,11,4,5,2,8,9,1,6,10]=>[5,6,10,3,2,7,8,11,9,12,4,1]
[12,7,3,1,11,5,2,8,4,10,6,9]=>[6,11,3,8,2,12,7,9,10,4,5,1]
[12,7,3,1,4,11,2,5,9,10,6,8]=>[11,3,9,12,5,2,7,8,10,4,6,1]
[12,8,3,1,4,5,6,2,9,10,11,7]=>[5,3,6,7,9,10,2,12,4,8,11,1]
[6,1,2,4,5,3,8,7,10,9,12,11]=>[4,5,7,9,1,12,2,3,6,8,10,11]
[6,1,2,4,5,3,8,7,12,9,11,10]=>[12,4,5,7,1,10,11,2,3,6,8,9]
[6,1,2,4,5,3,10,7,9,8,12,11]=>[9,12,4,5,1,8,2,3,6,7,10,11]
[6,1,2,4,5,3,12,11,9,7,8,10]=>[10,11,9,1,12,4,5,8,2,3,6,7]
[6,1,2,4,5,3,12,7,8,10,11,9]=>[10,12,4,5,1,8,9,11,2,3,6,7]
[8,7,2,4,5,1,3,6,10,9,12,11]=>[4,9,3,5,12,6,2,1,7,8,10,11]
[8,7,2,4,5,1,3,6,12,9,11,10]=>[4,5,12,3,10,2,1,11,6,7,8,9]
[10,7,2,4,5,9,3,1,6,8,12,11]=>[4,5,7,12,3,2,8,9,6,1,10,11]
[12,7,2,4,5,9,3,11,6,1,8,10]=>[10,4,5,7,2,9,3,6,11,12,8,1]
[12,7,2,4,5,10,3,1,8,6,11,9]=>[4,5,7,9,2,12,3,8,10,6,11,1]
[10,8,2,4,5,1,6,3,9,7,12,11]=>[4,7,3,5,9,12,6,2,8,1,10,11]
[12,8,2,4,5,11,6,3,9,1,7,10]=>[8,4,5,7,10,2,11,3,9,12,6,1]
[12,8,2,4,5,1,11,3,6,10,7,9]=>[4,5,11,12,3,8,2,9,10,6,7,1]
[12,9,2,4,5,1,6,7,3,10,11,8]=>[4,7,3,5,8,10,12,6,2,9,11,1]
[8,1,7,4,2,6,3,5,10,9,12,11]=>[4,9,6,12,5,2,3,1,7,8,10,11]
[8,1,7,4,2,6,3,5,12,9,11,10]=>[4,6,12,10,3,11,2,1,5,7,8,9]
[10,9,7,4,2,6,3,1,5,8,12,11]=>[7,4,12,5,8,6,3,9,2,1,10,11]
[12,9,7,4,2,6,3,11,5,1,8,10]=>[4,10,7,5,6,3,9,2,11,12,8,1]
[12,10,7,4,2,6,3,1,8,5,11,9]=>[7,4,9,5,6,3,12,8,10,2,11,1]
[10,1,8,4,9,6,2,3,5,7,12,11]=>[12,4,7,8,6,3,9,2,5,1,10,11]
[12,11,8,4,9,6,2,3,5,1,7,10]=>[4,7,8,10,9,6,3,11,5,12,2,1]
[12,1,8,4,10,6,11,3,2,5,7,9]=>[9,8,4,6,3,10,11,5,12,2,7,1]
[12,1,9,4,10,6,2,7,3,5,11,8]=>[12,9,4,7,6,8,3,10,2,5,11,1]
[10,1,8,4,2,5,7,3,9,6,12,11]=>[4,9,6,7,12,5,2,3,8,1,10,11]
[12,11,8,4,2,5,7,3,9,1,6,10]=>[6,4,8,10,5,7,3,11,9,12,2,1]
[12,1,8,4,11,5,7,3,2,10,6,9]=>[6,8,11,4,3,7,12,9,10,2,5,1]
[12,1,9,4,2,11,7,5,3,10,6,8]=>[8,11,4,7,12,9,3,10,2,5,6,1]
[12,1,9,4,2,5,6,8,3,10,11,7]=>[4,10,6,7,8,12,5,2,3,9,11,1]
[8,1,2,3,5,6,7,4,10,9,12,11]=>[5,6,7,9,12,2,3,1,4,8,10,11]
[8,1,2,3,5,6,7,4,12,9,11,10]=>[12,5,6,7,10,11,2,1,3,4,8,9]
[10,9,2,3,5,6,7,1,4,8,12,11]=>[5,6,12,3,4,8,7,9,2,1,10,11]
[12,9,2,3,5,6,7,11,4,1,8,10]=>[5,6,7,10,3,4,9,2,11,12,8,1]
[12,10,2,3,5,6,7,1,8,4,11,9]=>[5,6,9,3,4,7,12,8,10,2,11,1]
[10,1,9,3,5,6,2,8,4,7,12,11]=>[5,6,12,4,9,7,8,2,3,1,10,11]
[12,11,9,3,5,6,2,8,4,1,7,10]=>[5,10,4,7,6,9,11,8,3,12,2,1]
[12,1,10,3,5,6,11,8,2,4,7,9]=>[5,6,9,10,11,4,8,3,12,2,7,1]
[12,1,10,3,5,6,2,7,9,4,11,8]=>[5,6,12,4,8,10,7,9,2,3,11,1]
[10,1,2,9,5,3,7,8,4,6,12,11]=>[5,7,12,9,6,8,2,3,4,1,10,11]
[12,11,2,9,5,3,7,8,4,1,6,10]=>[5,10,9,6,7,11,3,8,4,12,2,1]
[12,1,11,10,5,3,7,8,2,4,6,9]=>[9,5,10,6,7,11,8,12,4,2,3,1]
[12,1,2,10,5,11,7,3,9,4,6,8]=>[10,11,5,7,12,8,4,9,2,3,6,1]
[12,1,2,10,5,3,6,8,9,4,11,7]=>[5,8,12,7,10,6,9,2,3,4,11,1]
[10,1,2,3,4,6,7,8,9,5,12,11]=>[6,7,8,9,12,2,3,4,5,1,10,11]
[12,11,2,3,4,6,7,8,9,1,5,10]=>[6,7,10,3,4,5,8,11,9,12,2,1]
[12,1,11,3,4,6,7,8,2,10,5,9]=>[6,7,11,4,5,8,12,9,10,2,3,1]
[12,1,2,11,4,6,7,3,9,10,5,8]=>[6,7,11,5,9,12,8,10,2,3,4,1]
[12,1,2,3,11,6,4,8,9,10,5,7]=>[6,8,11,9,12,7,10,2,3,4,5,1]
[2,1,4,3,6,5,8,7,12,9,10,11]=>[1,3,5,7,10,11,12,2,4,6,8,9]
[2,1,4,3,6,5,10,7,8,9,12,11]=>[12,1,3,5,8,9,2,4,6,7,10,11]
[2,1,4,3,6,5,12,11,8,7,10,9]=>[9,12,10,11,1,3,5,8,2,4,6,7]
[2,1,4,3,6,5,12,7,8,9,10,11]=>[1,3,5,8,9,10,11,12,2,4,6,7]
[2,1,4,3,8,5,6,7,10,9,12,11]=>[9,12,1,3,6,2,4,5,7,8,10,11]
[2,1,4,3,8,5,6,7,12,9,10,11]=>[10,11,1,3,5,12,2,4,6,7,8,9]
[2,1,4,3,10,9,6,5,8,7,12,11]=>[7,9,12,8,1,3,6,2,4,5,10,11]
[2,1,4,3,12,9,6,11,8,5,10,7]=>[12,10,7,6,9,11,1,3,8,2,4,5]
[2,1,4,3,12,11,6,5,8,9,10,7]=>[7,9,10,12,8,11,1,3,6,2,4,5]
[2,1,4,3,10,5,6,7,8,9,12,11]=>[12,1,3,6,7,8,9,2,4,5,10,11]
[2,1,4,3,12,11,6,7,8,5,10,9]=>[7,8,9,12,10,11,1,3,6,2,4,5]
[2,1,4,3,12,5,10,7,6,9,8,11]=>[8,11,9,10,1,3,6,7,12,2,4,5]
[2,1,4,3,12,5,6,7,8,9,10,11]=>[1,3,6,7,8,9,10,11,12,2,4,5]
[2,1,6,3,4,5,8,7,10,9,12,11]=>[7,9,1,3,12,2,4,5,6,8,10,11]
[2,1,6,3,4,5,8,7,12,9,10,11]=>[7,10,1,3,11,12,2,4,5,6,8,9]
[2,1,6,3,4,5,10,7,8,9,12,11]=>[12,8,1,3,9,2,4,5,6,7,10,11]
[2,1,6,3,4,5,12,11,8,7,10,9]=>[3,9,12,10,11,1,8,2,4,5,6,7]
[2,1,6,3,4,5,12,7,8,9,10,11]=>[8,9,1,3,10,11,12,2,4,5,6,7]
[2,1,8,7,4,3,6,5,10,9,12,11]=>[5,7,9,4,1,3,12,2,6,8,10,11]
[2,1,8,7,4,3,6,5,12,9,10,11]=>[5,7,10,4,1,3,11,12,2,6,8,9]
[2,1,10,7,4,9,6,3,8,5,12,11]=>[9,7,4,12,5,8,1,6,2,3,10,11]
[2,1,12,7,4,9,6,11,8,3,10,5]=>[4,12,7,6,10,5,9,11,1,8,2,3]
[2,1,12,7,4,11,6,3,8,9,10,5]=>[9,7,4,10,12,5,8,11,1,6,2,3]
[2,1,10,9,4,3,6,7,8,5,12,11]=>[5,7,8,9,12,6,1,4,2,3,10,11]
[2,1,12,9,4,11,6,7,8,3,10,5]=>[7,8,12,10,5,4,9,11,1,6,2,3]
[2,1,12,11,4,3,10,7,6,9,8,5]=>[8,12,9,11,5,10,6,7,1,4,2,3]
[2,1,12,11,4,3,6,7,8,9,10,5]=>[5,7,8,9,10,12,6,11,1,4,2,3]
[2,1,8,3,4,5,6,7,10,9,12,11]=>[9,12,1,4,5,6,2,3,7,8,10,11]
[2,1,8,3,4,5,6,7,12,9,10,11]=>[10,11,12,1,4,5,2,3,6,7,8,9]
[2,1,10,9,4,5,6,3,8,7,12,11]=>[5,6,7,9,12,8,1,4,2,3,10,11]
[2,1,12,9,4,5,6,11,8,3,10,7]=>[12,10,5,6,7,4,9,11,1,8,2,3]
[2,1,12,11,4,5,6,3,8,9,10,7]=>[5,6,7,9,10,12,8,11,1,4,2,3]
[2,1,10,3,8,5,4,7,6,9,12,11]=>[6,8,12,7,1,4,5,9,2,3,10,11]
[2,1,12,11,8,5,4,7,6,3,10,9]=>[6,9,7,8,5,12,10,11,1,4,2,3]
[2,1,12,3,8,5,10,7,4,9,6,11]=>[11,9,6,5,8,10,1,4,7,12,2,3]
[2,1,12,3,10,5,4,7,8,9,6,11]=>[6,8,9,11,7,10,1,4,5,12,2,3]
[2,1,10,3,4,5,6,7,8,9,12,11]=>[12,1,4,5,6,7,8,9,2,3,10,11]
[2,1,12,11,4,5,6,7,8,3,10,9]=>[5,6,7,8,9,12,10,11,1,4,2,3]
[2,1,12,3,10,5,6,7,4,9,8,11]=>[6,7,8,11,9,10,1,4,5,12,2,3]
[2,1,12,3,4,9,6,5,8,7,10,11]=>[7,10,8,9,1,4,5,6,11,12,2,3]
[2,1,12,3,4,5,6,7,8,9,10,11]=>[1,4,5,6,7,8,9,10,11,12,2,3]
[4,1,2,3,6,5,8,7,10,9,12,11]=>[5,7,1,9,12,2,3,4,6,8,10,11]
[4,1,2,3,6,5,8,7,12,9,10,11]=>[5,7,1,10,11,12,2,3,4,6,8,9]
[4,1,2,3,6,5,10,7,8,9,12,11]=>[12,5,1,8,9,2,3,4,6,7,10,11]
[4,1,2,3,6,5,12,11,8,7,10,9]=>[1,9,12,10,11,5,8,2,3,4,6,7]
[4,1,2,3,6,5,12,7,8,9,10,11]=>[5,8,1,9,10,11,12,2,3,4,6,7]
[4,1,2,3,8,5,6,7,10,9,12,11]=>[9,1,12,6,2,3,4,5,7,8,10,11]
[4,1,2,3,8,5,6,7,12,9,10,11]=>[10,1,11,5,12,2,3,4,6,7,8,9]
[4,1,2,3,10,9,6,5,8,7,12,11]=>[1,7,9,12,8,6,2,3,4,5,10,11]
[4,1,2,3,12,9,6,11,8,5,10,7]=>[12,10,1,7,6,9,11,8,2,3,4,5]
[4,1,2,3,12,11,6,5,8,9,10,7]=>[1,7,9,10,12,8,11,6,2,3,4,5]
[4,1,2,3,10,5,6,7,8,9,12,11]=>[12,6,1,7,8,9,2,3,4,5,10,11]
[4,1,2,3,12,11,6,7,8,5,10,9]=>[1,7,8,9,12,10,11,6,2,3,4,5]
[4,1,2,3,12,5,10,7,6,9,8,11]=>[1,8,11,9,10,6,7,12,2,3,4,5]
[4,1,2,3,12,5,6,7,8,9,10,11]=>[6,7,1,8,9,10,11,12,2,3,4,5]
[6,5,2,1,4,3,8,7,10,9,12,11]=>[3,5,7,2,1,9,12,4,6,8,10,11]
[6,5,2,1,4,3,8,7,12,9,10,11]=>[3,5,7,2,1,10,11,12,4,6,8,9]
[6,5,2,1,4,3,10,7,8,9,12,11]=>[12,3,5,2,1,8,9,4,6,7,10,11]
[6,5,2,1,4,3,12,7,8,9,10,11]=>[3,5,8,2,1,9,10,11,12,4,6,7]
[8,5,2,7,4,1,6,3,10,9,12,11]=>[7,5,2,9,3,4,1,12,6,8,10,11]
[8,5,2,7,4,1,6,3,12,9,10,11]=>[7,5,2,10,3,4,1,11,12,6,8,9]
[10,5,2,7,4,9,6,1,8,3,12,11]=>[2,9,5,4,7,12,3,8,6,1,10,11]
[12,5,2,7,4,9,6,11,8,1,10,3]=>[2,4,12,7,5,6,10,3,9,11,8,1]
[12,5,2,7,4,11,6,1,8,9,10,3]=>[2,9,5,4,7,10,12,3,8,11,6,1]
[10,5,2,9,4,1,6,7,8,3,12,11]=>[7,5,2,8,9,12,3,6,4,1,10,11]
[12,5,2,9,4,11,6,7,8,1,10,3]=>[2,7,8,12,5,4,10,3,9,11,6,1]
[12,5,2,11,4,1,10,7,6,9,8,3]=>[2,8,12,5,9,11,10,3,6,7,4,1]
[12,5,2,11,4,1,6,7,8,9,10,3]=>[7,5,2,8,9,10,12,3,6,11,4,1]
[8,7,2,1,4,5,6,3,10,9,12,11]=>[3,5,6,7,9,2,1,12,4,8,10,11]
[8,7,2,1,4,5,6,3,12,9,10,11]=>[3,5,6,7,10,2,1,11,12,4,8,9]
[10,7,2,9,4,5,6,1,8,3,12,11]=>[5,6,9,7,2,12,3,8,4,1,10,11]
[12,7,2,9,4,5,6,11,8,1,10,3]=>[12,5,6,2,7,4,10,3,9,11,8,1]
[12,7,2,11,4,5,6,1,8,9,10,3]=>[5,6,9,7,2,10,12,3,8,11,4,1]
[10,9,2,1,8,5,4,7,6,3,12,11]=>[6,9,7,8,3,5,12,4,2,1,10,11]
[12,9,2,11,8,5,4,7,6,1,10,3]=>[6,12,7,10,9,8,3,2,5,11,4,1]
[12,11,2,1,8,5,10,7,4,9,6,3]=>[12,9,6,5,8,11,3,10,4,7,2,1]
[12,11,2,1,10,5,4,7,8,9,6,3]=>[6,8,9,12,7,11,3,10,4,5,2,1]
[10,9,2,1,4,5,6,7,8,3,12,11]=>[3,5,6,7,8,9,12,4,2,1,10,11]
[12,9,2,11,4,5,6,7,8,1,10,3]=>[5,6,7,8,12,10,3,2,9,11,4,1]
[12,11,2,1,10,5,6,7,4,9,8,3]=>[6,7,8,12,9,11,3,10,4,5,2,1]
[12,11,2,1,4,9,6,5,8,7,10,3]=>[7,10,8,9,3,5,6,12,4,11,2,1]
[12,11,2,1,4,5,6,7,8,9,10,3]=>[3,5,6,7,8,9,10,12,4,11,2,1]
[6,1,2,3,4,5,8,7,10,9,12,11]=>[7,9,12,2,3,1,4,5,6,8,10,11]
[6,1,2,3,4,5,8,7,12,9,10,11]=>[7,10,11,12,2,1,3,4,5,6,8,9]
[6,1,2,3,4,5,10,7,8,9,12,11]=>[12,8,9,2,3,1,4,5,6,7,10,11]
[6,1,2,3,4,5,12,11,8,7,10,9]=>[9,12,10,1,11,8,2,3,4,5,6,7]
[6,1,2,3,4,5,12,7,8,9,10,11]=>[8,9,10,11,1,12,2,3,4,5,6,7]
[8,7,2,3,4,1,6,5,10,9,12,11]=>[3,4,5,7,9,2,1,12,6,8,10,11]
[8,7,2,3,4,1,6,5,12,9,10,11]=>[3,4,5,7,10,2,1,11,12,6,8,9]
[10,7,2,3,4,9,6,1,8,5,12,11]=>[9,7,12,3,4,2,5,8,6,1,10,11]
[12,7,2,3,4,9,6,11,8,1,10,5]=>[12,7,6,10,3,2,4,5,9,11,8,1]
[12,7,2,3,4,11,6,1,8,9,10,5]=>[9,7,10,12,3,2,4,5,8,11,6,1]
[10,9,2,3,4,1,6,7,8,5,12,11]=>[3,4,5,7,8,9,12,6,2,1,10,11]
[12,9,2,3,4,11,6,7,8,1,10,5]=>[7,8,12,10,3,4,5,2,9,11,6,1]
[12,11,2,3,4,1,10,7,6,9,8,5]=>[8,12,9,11,3,4,5,10,6,7,2,1]
[12,11,2,3,4,1,6,7,8,9,10,5]=>[3,4,5,7,8,9,10,12,6,11,2,1]
[8,1,6,3,2,5,4,7,10,9,12,11]=>[4,6,9,3,12,2,5,1,7,8,10,11]
[8,1,6,3,2,5,4,7,12,9,10,11]=>[4,6,10,3,11,12,2,1,5,7,8,9]
[10,9,6,3,2,5,4,1,8,7,12,11]=>[4,7,5,6,3,9,12,8,2,1,10,11]
[12,9,6,3,2,5,4,11,8,1,10,7]=>[12,4,6,3,10,5,7,2,9,11,8,1]
[12,11,6,3,2,5,4,1,8,9,10,7]=>[4,7,5,6,3,9,10,12,8,11,2,1]
[10,1,6,3,8,5,2,7,4,9,12,11]=>[8,6,3,12,4,7,2,5,9,1,10,11]
[12,11,6,3,8,5,2,7,4,1,10,9]=>[9,7,4,3,6,8,5,12,10,11,2,1]
[12,1,6,3,8,5,10,7,2,9,4,11]=>[3,11,6,5,9,4,8,10,2,7,12,1]
[12,1,6,3,10,5,2,7,8,9,4,11]=>[8,6,3,9,11,4,7,10,2,5,12,1]
[10,1,8,3,2,5,6,7,4,9,12,11]=>[4,6,7,8,12,5,2,3,9,1,10,11]
[12,11,8,3,2,5,6,7,4,1,10,9]=>[4,6,7,9,5,8,3,12,10,11,2,1]
[12,1,8,3,10,5,6,7,2,9,4,11]=>[6,7,11,9,4,3,8,10,2,5,12,1]
[12,1,10,3,2,9,6,5,8,7,4,11]=>[7,11,8,10,4,9,5,6,2,3,12,1]
[12,1,10,3,2,5,6,7,8,9,4,11]=>[4,6,7,8,9,11,5,10,2,3,12,1]
[8,1,2,3,4,5,6,7,10,9,12,11]=>[9,12,2,3,4,5,6,1,7,8,10,11]
[8,1,2,3,4,5,6,7,12,9,10,11]=>[10,11,12,2,3,4,5,1,6,7,8,9]
[10,9,2,3,4,5,6,1,8,7,12,11]=>[3,4,5,6,7,9,12,8,2,1,10,11]
[12,9,2,3,4,5,6,11,8,1,10,7]=>[12,10,3,4,5,6,7,2,9,11,8,1]
[12,11,2,3,4,5,6,1,8,9,10,7]=>[3,4,5,6,7,9,10,12,8,11,2,1]
[10,1,8,3,4,5,2,7,6,9,12,11]=>[4,5,6,8,12,7,2,3,9,1,10,11]
[12,11,8,3,4,5,2,7,6,1,10,9]=>[4,5,6,9,7,8,3,12,10,11,2,1]
[12,1,8,3,4,5,10,7,2,9,6,11]=>[11,9,4,5,6,3,8,10,2,7,12,1]
[12,1,10,3,4,5,2,7,8,9,6,11]=>[4,5,6,8,9,11,7,10,2,3,12,1]
[10,1,2,7,4,3,6,5,8,9,12,11]=>[5,7,12,6,2,3,4,8,9,1,10,11]
[12,11,2,7,4,3,6,5,8,1,10,9]=>[5,8,6,7,3,4,9,12,10,11,2,1]
[12,1,10,7,4,3,6,5,2,9,8,11]=>[5,8,6,7,4,11,9,10,2,3,12,1]
[12,1,2,7,4,9,6,3,8,5,10,11]=>[10,8,5,4,7,9,2,3,6,11,12,1]
[12,1,2,9,4,3,6,7,8,5,10,11]=>[5,7,8,10,6,9,2,3,4,11,12,1]
[10,1,2,3,4,5,6,7,8,9,12,11]=>[12,2,3,4,5,6,7,8,9,1,10,11]
[12,11,2,3,4,5,6,7,8,1,10,9]=>[3,4,5,6,7,8,9,12,10,11,2,1]
[12,1,10,3,4,5,6,7,2,9,8,11]=>[4,5,6,7,8,11,9,10,2,3,12,1]
[12,1,2,9,4,5,6,3,8,7,10,11]=>[5,6,7,10,8,9,2,3,4,11,12,1]
[12,1,2,3,8,5,4,7,6,9,10,11]=>[6,9,7,8,2,3,4,5,10,11,12,1]
[12,1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,12,1]
[2,1,4,3,6,5,12,7,9,8,11,10]=>[9,12,1,3,5,8,10,11,2,4,6,7]
[2,1,4,3,6,5,11,8,12,7,10,9]=>[12,8,10,1,3,5,7,11,2,4,6,9]
[2,1,4,3,10,5,7,6,9,8,12,11]=>[7,9,12,1,3,6,8,2,4,5,10,11]
[2,1,4,3,12,5,7,6,9,8,11,10]=>[7,9,12,1,3,6,8,10,11,2,4,5]
[2,1,4,3,11,8,12,5,7,6,10,9]=>[9,6,12,8,10,1,3,5,11,2,4,7]
[2,1,4,3,9,6,10,5,8,7,12,11]=>[9,12,6,1,3,5,8,2,4,7,10,11]
[2,1,4,3,9,6,12,5,8,7,11,10]=>[9,12,6,1,3,5,8,10,11,2,4,7]
[2,1,4,3,12,5,8,7,11,6,10,9]=>[7,12,8,10,11,1,3,6,9,2,4,5]
[2,1,4,3,11,6,10,7,12,5,9,8]=>[12,8,10,6,7,1,3,5,11,2,4,9]
[2,1,6,3,5,4,12,7,9,8,11,10]=>[9,3,12,1,5,8,10,11,2,4,6,7]
[2,1,6,3,5,4,11,8,12,7,10,9]=>[3,12,8,10,1,5,7,11,2,4,6,9]
[2,1,8,3,5,4,7,6,10,9,12,11]=>[5,7,9,12,1,4,2,3,6,8,10,11]
[2,1,8,3,5,4,7,6,12,9,11,10]=>[12,5,7,10,1,3,11,2,4,6,8,9]
[2,1,10,3,5,4,7,6,9,8,12,11]=>[5,7,9,12,1,4,6,8,2,3,10,11]
[2,1,12,3,5,4,7,6,9,8,11,10]=>[5,7,9,12,1,4,6,8,10,11,2,3]
[2,1,11,8,12,3,5,4,7,6,10,9]=>[7,9,12,6,4,8,10,1,3,11,2,5]
[2,1,9,6,10,3,5,4,8,7,12,11]=>[7,4,9,12,6,1,3,8,2,5,10,11]
[2,1,9,6,12,3,5,4,8,7,11,10]=>[7,4,9,12,6,1,3,8,10,11,2,5]
[2,1,12,3,5,4,8,7,11,6,10,9]=>[7,12,5,8,10,11,1,4,6,9,2,3]
[2,1,11,6,10,7,12,3,5,4,9,8]=>[9,4,6,12,8,10,5,1,3,11,2,7]
[2,1,7,4,8,3,6,5,10,9,12,11]=>[7,9,4,1,3,5,12,2,6,8,10,11]
[2,1,7,4,8,3,6,5,12,9,11,10]=>[12,7,4,1,3,5,10,11,2,6,8,9]
[2,1,7,4,10,3,6,5,9,8,12,11]=>[7,9,3,12,1,4,6,8,2,5,10,11]
[2,1,7,4,12,3,6,5,9,8,11,10]=>[7,9,3,12,1,4,6,8,10,11,2,5]
[2,1,7,4,11,8,12,3,6,5,10,9]=>[3,9,6,12,8,10,1,4,5,11,2,7]
[2,1,10,3,6,5,9,4,8,7,12,11]=>[5,9,12,6,8,1,4,7,2,3,10,11]
[2,1,12,3,6,5,9,4,8,7,11,10]=>[5,9,12,6,8,1,4,7,10,11,2,3]
[2,1,11,4,8,7,12,3,6,5,10,9]=>[9,6,5,12,4,8,10,1,3,11,2,7]
[2,1,12,3,6,5,10,7,11,4,9,8]=>[12,5,8,10,6,7,11,1,4,9,2,3]
[2,1,9,4,8,5,10,3,7,6,12,11]=>[9,12,6,4,5,1,3,8,2,7,10,11]
[2,1,9,4,8,5,12,3,7,6,11,10]=>[9,12,6,4,5,1,3,8,10,11,2,7]
[2,1,12,3,7,6,11,4,8,5,10,9]=>[6,5,9,12,8,10,11,1,4,7,2,3]
[2,1,10,5,12,3,7,6,11,4,9,8]=>[7,12,4,8,10,3,11,1,6,9,2,5]
[2,1,10,5,11,4,9,6,12,3,8,7]=>[12,8,10,4,6,3,7,1,5,11,2,9]
[4,1,3,2,6,5,12,7,9,8,11,10]=>[9,1,12,3,5,8,10,11,2,4,6,7]
[4,1,3,2,6,5,11,8,12,7,10,9]=>[1,12,8,10,3,5,7,11,2,4,6,9]
[4,1,3,2,10,5,7,6,9,8,12,11]=>[7,1,9,12,3,6,8,2,4,5,10,11]
[4,1,3,2,12,5,7,6,9,8,11,10]=>[7,1,9,12,3,6,8,10,11,2,4,5]
[4,1,3,2,11,8,12,5,7,6,10,9]=>[9,1,6,12,8,10,3,5,11,2,4,7]
[4,1,3,2,9,6,10,5,8,7,12,11]=>[1,9,12,6,3,5,8,2,4,7,10,11]
[4,1,3,2,9,6,12,5,8,7,11,10]=>[1,9,12,6,3,5,8,10,11,2,4,7]
[4,1,3,2,12,5,8,7,11,6,10,9]=>[1,7,12,8,10,11,3,6,9,2,4,5]
[4,1,3,2,11,6,10,7,12,5,9,8]=>[12,1,8,10,6,7,3,5,11,2,4,9]
[6,1,3,2,5,4,8,7,10,9,12,11]=>[3,5,7,9,1,12,2,4,6,8,10,11]
[6,1,3,2,5,4,8,7,12,9,11,10]=>[12,3,5,7,1,10,11,2,4,6,8,9]
[6,1,3,2,5,4,10,7,9,8,12,11]=>[9,12,3,5,1,8,2,4,6,7,10,11]
[6,1,3,2,5,4,12,7,9,8,11,10]=>[9,12,3,5,1,8,10,11,2,4,6,7]
[6,1,3,2,5,4,11,8,12,7,10,9]=>[12,8,10,3,1,5,7,11,2,4,6,9]
[8,1,3,2,5,4,7,6,10,9,12,11]=>[3,5,7,9,12,2,4,1,6,8,10,11]
[8,1,3,2,5,4,7,6,12,9,11,10]=>[12,3,5,7,10,11,2,1,4,6,8,9]
[10,1,3,2,5,4,7,6,9,8,12,11]=>[3,5,7,9,12,2,4,6,8,1,10,11]
[11,8,12,1,3,2,5,4,7,6,10,9]=>[5,7,9,12,4,6,2,8,10,1,11,3]
[9,6,10,1,3,2,5,4,8,7,12,11]=>[5,7,9,2,12,4,6,1,8,3,10,11]
[9,6,12,1,3,2,5,4,8,7,11,10]=>[5,7,9,2,12,4,6,1,8,10,11,3]
[12,1,3,2,5,4,8,7,11,6,10,9]=>[7,12,3,5,8,10,11,2,4,6,9,1]
[11,6,10,7,12,1,3,2,5,4,9,8]=>[7,2,9,12,6,4,8,10,3,1,11,5]
[7,4,8,1,3,2,6,5,10,9,12,11]=>[5,2,7,9,1,12,4,3,6,8,10,11]
[7,4,8,1,3,2,6,5,12,9,11,10]=>[2,12,5,7,1,10,3,11,4,6,8,9]
[7,4,10,1,3,2,6,5,9,8,12,11]=>[5,2,7,9,1,12,4,6,8,3,10,11]
[7,4,12,1,3,2,6,5,9,8,11,10]=>[5,2,7,9,1,12,4,6,8,10,11,3]
[7,4,11,8,12,1,3,2,6,5,10,9]=>[7,9,1,12,2,6,4,8,10,3,11,5]
[10,1,3,2,6,5,9,4,8,7,12,11]=>[5,9,12,3,6,8,2,4,7,1,10,11]
[12,1,3,2,6,5,9,4,8,7,11,10]=>[5,9,12,3,6,8,2,4,7,10,11,1]
[11,4,8,7,12,1,3,2,6,5,10,9]=>[7,9,12,2,6,4,3,8,10,1,11,5]
[12,1,3,2,6,5,10,7,11,4,9,8]=>[12,5,8,10,3,6,7,11,2,4,9,1]
[9,4,8,5,10,1,3,2,7,6,12,11]=>[7,2,4,9,12,6,3,1,8,5,10,11]
[9,4,8,5,12,1,3,2,7,6,11,10]=>[7,2,4,9,12,6,3,1,8,10,11,5]
[12,1,3,2,7,6,11,4,8,5,10,9]=>[6,5,9,12,3,8,10,11,2,4,7,1]
[10,5,12,1,3,2,7,6,11,4,9,8]=>[7,2,12,5,8,10,11,4,1,6,9,3]
[10,5,11,4,9,6,12,1,3,2,8,7]=>[9,2,4,6,12,8,1,10,5,3,11,7]
[5,2,6,1,4,3,8,7,10,9,12,11]=>[5,7,2,1,3,9,12,4,6,8,10,11]
[5,2,6,1,4,3,8,7,12,9,11,10]=>[12,5,2,1,3,7,10,11,4,6,8,9]
[5,2,6,1,4,3,10,7,9,8,12,11]=>[9,3,1,12,2,5,8,4,6,7,10,11]
[5,2,6,1,4,3,12,7,9,8,11,10]=>[9,3,1,12,2,5,8,10,11,4,6,7]
[5,2,6,1,4,3,11,8,12,7,10,9]=>[3,1,12,8,10,2,5,7,11,4,6,9]
[5,2,8,1,4,3,7,6,10,9,12,11]=>[5,7,1,9,12,2,4,3,6,8,10,11]
[5,2,8,1,4,3,7,6,12,9,11,10]=>[12,5,1,7,10,2,3,11,4,6,8,9]
[5,2,10,1,4,3,7,6,9,8,12,11]=>[5,7,1,9,12,2,4,6,8,3,10,11]
[5,2,12,1,4,3,7,6,9,8,11,10]=>[5,7,1,9,12,2,4,6,8,10,11,3]
[5,2,11,8,12,1,4,3,7,6,10,9]=>[1,7,9,12,6,4,8,10,2,3,11,5]
[5,2,9,6,10,1,4,3,8,7,12,11]=>[1,7,4,9,12,6,2,3,8,5,10,11]
[5,2,9,6,12,1,4,3,8,7,11,10]=>[1,7,4,9,12,6,2,3,8,10,11,5]
[5,2,12,1,4,3,8,7,11,6,10,9]=>[7,1,12,5,8,10,11,2,4,6,9,3]
[5,2,11,6,10,7,12,1,4,3,9,8]=>[9,1,4,6,12,8,10,5,2,3,11,7]
[8,1,4,3,7,2,6,5,10,9,12,11]=>[3,7,9,4,5,12,2,1,6,8,10,11]
[8,1,4,3,7,2,6,5,12,9,11,10]=>[12,3,7,4,5,10,1,11,2,6,8,9]
[10,1,4,3,7,2,6,5,9,8,12,11]=>[3,7,9,4,5,12,2,6,8,1,10,11]
[12,1,4,3,7,2,6,5,9,8,11,10]=>[3,7,9,4,5,12,2,6,8,10,11,1]
[11,8,12,1,4,3,7,2,6,5,10,9]=>[5,9,12,6,8,4,2,7,10,1,11,3]
[9,2,6,5,10,1,4,3,8,7,12,11]=>[7,4,3,9,12,2,6,1,8,5,10,11]
[9,2,6,5,12,1,4,3,8,7,11,10]=>[7,4,3,9,12,2,6,1,8,10,11,5]
[12,1,4,3,8,7,11,2,6,5,10,9]=>[9,6,3,5,12,4,8,10,11,2,7,1]
[11,2,6,5,10,7,12,1,4,3,9,8]=>[3,9,4,6,12,8,10,2,5,1,11,7]
[10,1,4,3,8,5,9,2,7,6,12,11]=>[9,12,3,6,4,5,8,2,7,1,10,11]
[12,1,4,3,8,5,9,2,7,6,11,10]=>[9,12,3,6,4,5,8,2,7,10,11,1]
[11,2,7,6,12,1,4,3,8,5,10,9]=>[7,9,4,3,12,2,6,8,10,1,11,5]
[10,5,11,2,7,6,12,1,4,3,9,8]=>[9,2,6,5,12,4,8,1,10,3,11,7]
[10,5,12,1,4,3,9,6,11,2,8,7]=>[2,12,5,8,10,6,7,1,11,4,9,3]
[7,2,6,3,8,1,5,4,10,9,12,11]=>[7,9,4,2,3,1,5,12,6,8,10,11]
[7,2,6,3,8,1,5,4,12,9,11,10]=>[12,7,4,2,3,1,5,10,11,6,8,9]
[7,2,6,3,10,1,5,4,9,8,12,11]=>[7,9,3,12,2,1,4,6,8,5,10,11]
[7,2,6,3,12,1,5,4,9,8,11,10]=>[7,9,3,12,2,1,4,6,8,10,11,5]
[7,2,6,3,11,8,12,1,5,4,10,9]=>[3,9,6,1,12,8,10,2,4,5,11,7]
[10,1,5,4,9,2,6,3,8,7,12,11]=>[4,3,7,9,12,6,8,2,5,1,10,11]
[12,1,5,4,9,2,6,3,8,7,11,10]=>[4,3,7,9,12,6,8,2,5,10,11,1]
[11,2,6,3,8,7,12,1,5,4,10,9]=>[3,9,6,5,12,2,4,8,10,1,11,7]
[12,1,5,4,10,7,11,2,6,3,9,8]=>[9,3,6,12,4,8,10,5,11,2,7,1]
[8,3,10,1,5,4,9,2,7,6,12,11]=>[5,9,12,2,6,1,8,4,7,3,10,11]
[8,3,12,1,5,4,9,2,7,6,11,10]=>[5,9,12,2,6,1,8,4,7,10,11,3]
[8,3,11,2,7,6,12,1,5,4,10,9]=>[9,6,5,12,2,1,4,8,10,3,11,7]
[11,2,7,6,12,1,5,4,10,3,9,8]=>[7,4,3,12,8,10,11,2,6,1,9,5]
[12,1,5,4,10,3,9,6,11,2,8,7]=>[12,3,8,10,4,6,7,5,11,2,9,1]
[8,3,9,2,7,4,10,1,6,5,12,11]=>[9,12,6,2,4,1,5,3,8,7,10,11]
[8,3,9,2,7,4,12,1,6,5,11,10]=>[9,12,6,2,4,1,5,3,8,10,11,7]
[8,3,12,1,6,5,11,2,7,4,10,9]=>[6,5,9,12,2,1,8,10,11,4,7,3]
[12,1,6,5,11,2,7,4,10,3,9,8]=>[4,3,7,12,8,10,11,6,9,2,5,1]
[10,3,9,4,12,1,6,5,11,2,8,7]=>[7,12,4,8,10,2,3,1,11,6,9,5]
[10,3,9,4,11,2,8,5,12,1,7,6]=>[12,8,10,4,6,2,3,1,7,5,11,9]
[11,12,8,2,1,6,4,3,5,7,9,10]=>[8,4,7,9,5,6,10,3,11,1,12,2]
[12,2,9,1,10,6,4,3,5,7,8,11]=>[8,7,9,6,10,11,2,4,3,5,12,1]
[11,12,2,1,9,6,4,3,5,7,8,10]=>[8,7,9,3,6,10,11,4,5,1,12,2]
[10,2,4,1,11,3,12,6,5,7,8,9]=>[9,3,8,10,11,12,2,6,4,1,5,7]
[7,12,10,2,1,8,4,3,5,6,9,11]=>[8,4,7,1,9,10,5,6,11,3,12,2]
[2,11,7,1,12,8,4,3,5,6,9,10]=>[8,7,9,3,10,6,11,12,1,4,2,5]
[9,12,2,1,10,7,4,3,5,6,8,11]=>[8,7,9,10,3,6,1,11,4,5,12,2]
[2,11,1,12,9,7,4,3,5,6,8,10]=>[8,7,9,10,6,11,5,12,1,3,2,4]
[10,11,2,1,4,3,12,7,5,6,8,9]=>[9,10,3,5,8,11,12,4,1,6,2,7]
[8,12,2,1,9,4,3,10,5,6,7,11]=>[6,9,10,11,3,1,7,4,5,8,12,2]
[2,11,1,12,8,4,3,9,5,6,7,10]=>[6,9,10,11,7,5,8,12,1,3,2,4]
[2,10,1,11,4,3,12,8,5,6,7,9]=>[9,10,11,5,8,12,6,1,3,2,4,7]
[2,9,1,10,4,3,11,5,12,6,7,8]=>[10,11,12,5,8,6,1,3,2,4,7,9]
[12,10,8,5,2,1,6,3,4,7,9,11]=>[5,8,9,6,4,7,10,3,11,2,12,1]
[5,11,2,1,12,8,6,3,4,7,9,10]=>[1,8,9,7,10,3,6,11,12,4,2,5]
[12,9,5,2,1,10,6,3,4,7,8,11]=>[8,9,4,3,7,10,11,5,2,6,12,1]
[11,5,2,1,12,9,6,3,4,7,8,10]=>[8,2,9,7,10,11,3,6,12,4,1,5]
[10,11,2,1,5,3,12,6,4,7,8,9]=>[5,9,3,8,10,11,12,4,1,6,2,7]
[12,10,7,2,1,8,5,3,4,6,9,11]=>[8,9,4,7,10,5,3,6,11,2,12,1]
[11,7,2,1,12,8,5,3,4,6,9,10]=>[8,9,7,10,3,2,6,11,12,4,1,5]
[12,9,2,1,10,7,5,3,4,6,8,11]=>[8,9,7,10,3,6,11,4,2,5,12,1]
[11,2,1,12,9,7,5,3,4,6,8,10]=>[8,9,7,10,6,11,2,5,12,3,1,4]
[10,11,2,1,3,12,7,5,4,6,8,9]=>[9,8,10,3,7,11,12,4,1,5,2,6]
[8,9,2,1,12,3,10,5,4,6,7,11]=>[9,8,10,11,3,1,6,2,7,12,4,5]
[11,8,2,1,12,3,9,5,4,6,7,10]=>[9,8,10,11,3,6,2,7,12,4,1,5]
[2,10,1,11,3,12,8,5,4,6,7,9]=>[9,8,10,11,7,12,5,1,3,2,4,6]
[2,9,1,10,3,11,5,4,12,6,7,8]=>[7,10,11,12,8,5,1,3,2,4,6,9]
[12,10,6,2,1,7,3,8,4,5,9,11]=>[9,10,4,7,5,3,6,8,11,2,12,1]
[11,6,2,1,12,7,3,8,4,5,9,10]=>[9,10,7,3,2,6,8,11,12,4,1,5]
[12,9,2,1,10,6,3,7,4,5,8,11]=>[9,10,7,3,6,8,11,4,2,5,12,1]
[11,2,1,12,9,6,3,7,4,5,8,10]=>[9,10,7,6,8,11,2,5,12,3,1,4]
[10,2,1,11,6,3,12,7,4,5,8,9]=>[9,5,10,8,11,12,2,6,3,1,4,7]
[12,8,2,1,9,3,10,6,4,5,7,11]=>[9,10,8,11,3,6,4,2,5,7,12,1]
[11,2,1,12,8,3,9,6,4,5,7,10]=>[9,10,8,11,6,2,5,7,12,3,1,4]
[10,2,1,11,3,12,8,6,4,5,7,9]=>[9,10,8,11,7,12,2,5,3,1,4,6]
[2,9,1,10,3,11,4,12,6,5,7,8]=>[10,9,11,12,7,5,1,3,2,4,6,8]
[12,7,2,1,8,3,9,4,10,5,6,11]=>[10,11,8,3,6,4,2,5,7,9,12,1]
[11,2,1,12,7,3,8,4,9,5,6,10]=>[10,11,8,6,2,5,7,9,12,3,1,4]
[10,2,1,11,3,12,7,4,8,5,6,9]=>[10,11,8,7,9,12,2,5,3,1,4,6]
[9,2,1,10,3,11,4,12,7,5,6,8]=>[10,11,9,12,7,2,5,3,1,4,6,8]
[8,2,1,9,3,10,4,11,5,12,6,7]=>[11,12,9,7,2,5,3,1,4,6,8,10]
[12,10,8,6,3,1,4,2,5,7,9,11]=>[8,6,5,7,9,4,10,3,11,2,12,1]
[11,12,3,1,8,6,4,2,5,7,9,10]=>[8,3,7,9,6,10,4,5,11,1,12,2]
[9,12,3,1,10,6,4,2,5,7,8,11]=>[8,3,7,9,6,10,1,11,4,5,12,2]
[3,11,1,12,9,6,4,2,5,7,8,10]=>[8,7,9,6,10,11,1,5,12,3,2,4]
[3,10,4,1,11,2,12,6,5,7,8,9]=>[9,3,8,10,11,12,1,6,4,2,5,7]
[12,10,7,3,1,8,4,2,5,6,9,11]=>[4,8,7,9,10,5,3,6,11,2,12,1]
[11,7,3,1,12,8,4,2,5,6,9,10]=>[8,3,7,9,2,10,6,11,12,4,1,5]
[12,9,3,1,10,7,4,2,5,6,8,11]=>[8,3,7,9,10,6,11,4,2,5,12,1]
[11,3,1,12,9,7,4,2,5,6,8,10]=>[8,7,9,10,2,6,11,5,12,3,1,4]
[3,10,1,11,4,2,12,7,5,6,8,9]=>[9,10,5,8,11,12,1,6,3,2,4,7]
[12,8,3,1,9,4,2,10,5,6,7,11]=>[3,6,9,10,11,7,4,2,5,8,12,1]
[11,3,1,12,8,4,2,9,5,6,7,10]=>[6,9,10,11,2,7,5,8,12,3,1,4]
[10,3,1,11,4,2,12,8,5,6,7,9]=>[9,10,11,2,5,8,12,6,3,1,4,7]
[9,3,1,10,4,2,11,5,12,6,7,8]=>[10,11,12,2,5,8,6,3,1,4,7,9]
[12,10,8,5,1,6,3,2,4,7,9,11]=>[8,7,9,5,4,6,10,3,11,2,12,1]
[5,11,1,12,8,6,3,2,4,7,9,10]=>[8,1,7,9,6,10,5,11,12,3,2,4]
[12,9,5,1,10,6,3,2,4,7,8,11]=>[8,7,3,9,6,10,11,4,2,5,12,1]
[11,5,1,12,9,6,3,2,4,7,8,10]=>[2,8,7,9,6,10,11,5,12,3,1,4]
[3,10,1,11,5,2,12,6,4,7,8,9]=>[5,9,8,10,11,12,1,6,3,2,4,7]
[12,10,7,1,8,5,3,2,4,6,9,11]=>[8,7,9,6,10,4,3,5,11,2,12,1]
[11,7,1,12,8,5,3,2,4,6,9,10]=>[8,7,9,6,2,10,5,11,12,3,1,4]
[12,9,1,10,7,5,3,2,4,6,8,11]=>[8,7,9,6,10,5,11,3,2,4,12,1]
[11,1,12,9,7,5,3,2,4,6,8,10]=>[8,7,9,6,10,5,11,4,12,2,1,3]
[3,10,1,11,2,12,7,5,4,6,8,9]=>[9,8,10,7,11,12,1,5,3,2,4,6]
[8,9,1,12,3,2,10,5,4,6,7,11]=>[9,5,8,10,1,11,6,2,7,12,3,4]
[11,8,1,12,3,2,9,5,4,6,7,10]=>[9,5,8,10,11,6,2,7,12,3,1,4]
[10,3,1,11,2,12,8,5,4,6,7,9]=>[9,8,10,11,2,7,12,5,3,1,4,6]
[9,3,1,10,2,11,5,4,12,6,7,8]=>[7,10,11,12,2,8,5,3,1,4,6,9]
[12,10,6,1,7,3,2,8,4,5,9,11]=>[6,9,10,7,4,3,5,8,11,2,12,1]
[11,6,1,12,7,3,2,8,4,5,9,10]=>[6,9,2,10,7,5,8,11,12,3,1,4]
[12,9,1,10,6,3,2,7,4,5,8,11]=>[6,9,10,7,5,8,11,3,2,4,12,1]
[11,1,12,9,6,3,2,7,4,5,8,10]=>[6,9,10,7,5,8,11,4,12,2,1,3]
[10,1,11,6,3,2,12,7,4,5,8,9]=>[9,10,5,4,8,11,12,6,2,1,3,7]
[12,8,1,9,3,2,10,6,4,5,7,11]=>[9,10,5,8,11,6,3,2,4,7,12,1]
[11,1,12,8,3,2,9,6,4,5,7,10]=>[9,10,5,8,11,6,4,7,12,2,1,3]
[10,1,11,3,2,12,8,6,4,5,7,9]=>[9,10,8,11,4,7,12,5,2,1,3,6]
[9,3,1,10,2,11,4,12,6,5,7,8]=>[10,9,11,12,2,7,5,3,1,4,6,8]
[12,7,1,8,3,2,9,4,10,5,6,11]=>[10,11,5,8,6,3,2,4,7,9,12,1]
[11,1,12,7,3,2,8,4,9,5,6,10]=>[10,11,5,8,6,4,7,9,12,2,1,3]
[10,1,11,3,2,12,7,4,8,5,6,9]=>[10,11,8,4,7,9,12,5,2,1,3,6]
[9,1,10,3,2,11,4,12,7,5,6,8]=>[10,11,9,12,4,7,5,2,1,3,6,8]
[8,1,9,3,2,10,4,11,5,12,6,7]=>[11,12,9,4,7,5,2,1,3,6,8,10]
[12,10,8,4,1,5,2,6,3,7,9,11]=>[9,7,5,4,6,8,10,3,11,2,12,1]
[4,11,1,12,8,5,2,6,3,7,9,10]=>[9,7,1,6,8,10,5,11,12,3,2,4]
[12,9,4,1,10,5,2,6,3,7,8,11]=>[3,9,7,6,8,10,11,4,2,5,12,1]
[11,4,1,12,9,5,2,6,3,7,8,10]=>[9,2,7,6,8,10,11,5,12,3,1,4]
[10,4,1,11,5,2,12,6,3,7,8,9]=>[2,5,9,8,10,11,12,6,3,1,4,7]
[12,10,7,1,8,4,2,5,3,6,9,11]=>[9,7,6,8,10,4,3,5,11,2,12,1]
[11,7,1,12,8,4,2,5,3,6,9,10]=>[9,7,6,8,2,10,5,11,12,3,1,4]
[12,9,1,10,7,4,2,5,3,6,8,11]=>[9,7,6,8,10,5,11,3,2,4,12,1]
[11,1,12,9,7,4,2,5,3,6,8,10]=>[9,7,6,8,10,5,11,4,12,2,1,3]
[10,4,1,11,2,12,7,5,3,6,8,9]=>[9,2,8,10,7,11,12,5,3,1,4,6]
[12,8,1,9,4,2,10,5,3,6,7,11]=>[5,9,8,10,11,6,3,2,4,7,12,1]
[11,1,12,8,4,2,9,5,3,6,7,10]=>[5,9,8,10,11,6,4,7,12,2,1,3]
[10,1,11,4,2,12,8,5,3,6,7,9]=>[9,4,8,10,11,7,12,5,2,1,3,6]
[9,1,10,4,2,11,5,3,12,6,7,8]=>[4,7,10,11,12,8,5,2,1,3,6,9]
[12,10,6,1,7,2,8,4,3,5,9,11]=>[9,8,10,6,4,3,5,7,11,2,12,1]
[11,6,1,12,7,2,8,4,3,5,9,10]=>[9,8,2,10,6,5,7,11,12,3,1,4]
[12,9,1,10,6,2,7,4,3,5,8,11]=>[9,8,10,6,5,7,11,3,2,4,12,1]
[11,1,12,9,6,2,7,4,3,5,8,10]=>[9,8,10,6,5,7,11,4,12,2,1,3]
[10,1,11,6,2,12,7,4,3,5,8,9]=>[9,8,4,10,7,11,12,5,2,1,3,6]
[12,8,1,9,2,10,6,4,3,5,7,11]=>[9,8,10,7,11,5,3,2,4,6,12,1]
[11,1,12,8,2,9,6,4,3,5,7,10]=>[9,8,10,7,11,5,4,6,12,2,1,3]
[10,1,11,2,12,8,6,4,3,5,7,9]=>[9,8,10,7,11,6,12,4,2,1,3,5]
[9,1,10,4,2,11,3,12,6,5,7,8]=>[10,4,9,11,12,7,5,2,1,3,6,8]
[12,7,1,8,2,9,4,3,10,5,6,11]=>[7,10,11,8,5,3,2,4,6,9,12,1]
[11,1,12,7,2,8,4,3,9,5,6,10]=>[7,10,11,8,5,4,6,9,12,2,1,3]
[10,1,11,2,12,7,4,3,8,5,6,9]=>[7,10,11,8,6,9,12,4,2,1,3,5]
[9,1,10,2,11,4,3,12,7,5,6,8]=>[10,11,6,9,12,7,4,2,1,3,5,8]
[8,1,9,2,10,4,3,11,5,12,6,7]=>[11,12,6,9,7,4,2,1,3,5,8,10]
[12,10,5,1,6,2,7,3,8,4,9,11]=>[10,8,6,4,3,5,7,9,11,2,12,1]
[11,5,1,12,6,2,7,3,8,4,9,10]=>[2,10,8,6,5,7,9,11,12,3,1,4]
[12,9,1,10,5,2,6,3,7,4,8,11]=>[10,8,6,5,7,9,11,3,2,4,12,1]
[11,1,12,9,5,2,6,3,7,4,8,10]=>[10,8,6,5,7,9,11,4,12,2,1,3]
[10,1,11,5,2,12,6,3,7,4,8,9]=>[4,10,8,7,9,11,12,5,2,1,3,6]
[12,8,1,9,2,10,5,3,6,4,7,11]=>[10,8,7,9,11,5,3,2,4,6,12,1]
[11,1,12,8,2,9,5,3,6,4,7,10]=>[10,8,7,9,11,5,4,6,12,2,1,3]
[10,1,11,2,12,8,5,3,6,4,7,9]=>[10,8,7,9,11,6,12,4,2,1,3,5]
[9,1,10,2,11,5,3,12,6,4,7,8]=>[6,10,9,11,12,7,4,2,1,3,5,8]
[12,7,1,8,2,9,3,10,5,4,6,11]=>[10,9,11,7,5,3,2,4,6,8,12,1]
[11,1,12,7,2,8,3,9,5,4,6,10]=>[10,9,11,7,5,4,6,8,12,2,1,3]
[10,1,11,2,12,7,3,8,5,4,6,9]=>[10,9,11,7,6,8,12,4,2,1,3,5]
[9,1,10,2,11,3,12,7,5,4,6,8]=>[10,9,11,8,12,6,4,2,1,3,5,7]
[8,1,9,2,10,3,11,5,4,12,6,7]=>[8,11,12,9,6,4,2,1,3,5,7,10]
[12,6,1,7,2,8,3,9,4,10,5,11]=>[11,9,7,5,3,2,4,6,8,10,12,1]
[11,1,12,6,2,7,3,8,4,9,5,10]=>[11,9,7,5,4,6,8,10,12,2,1,3]
[10,1,11,2,12,6,3,7,4,8,5,9]=>[11,9,7,6,8,10,12,4,2,1,3,5]
[9,1,10,2,11,3,12,6,4,7,5,8]=>[11,9,8,10,12,6,4,2,1,3,5,7]
[8,1,9,2,10,3,11,4,12,6,5,7]=>[11,10,12,8,6,4,2,1,3,5,7,9]
[3,2,5,4,7,6,9,8,10,12,11,1]=>[1,3,5,7,12,2,4,6,8,9,11,10]
[3,2,5,4,7,6,8,11,9,10,12,1]=>[1,3,5,9,10,2,4,6,7,8,12,11]
[3,2,5,4,7,6,8,10,9,12,11,1]=>[1,3,5,8,12,2,4,6,7,9,11,10]
[3,2,5,4,7,6,8,9,12,10,11,1]=>[1,3,5,10,12,2,4,6,7,8,11,9]
[3,2,5,4,6,9,7,8,11,10,12,1]=>[10,1,3,7,2,4,5,6,8,9,12,11]
[3,2,5,4,6,9,7,8,10,12,11,1]=>[12,1,3,7,2,4,5,6,8,9,11,10]
[3,2,5,4,6,8,7,11,9,10,12,1]=>[1,3,6,9,10,2,4,5,7,8,12,11]
[3,2,5,4,6,8,7,10,9,12,11,1]=>[1,3,6,8,12,2,4,5,7,9,11,10]
[3,2,5,4,6,8,7,9,12,10,11,1]=>[1,3,6,10,12,2,4,5,7,8,11,9]
[3,2,5,4,6,7,11,8,9,10,12,1]=>[1,3,8,9,10,2,4,5,6,7,12,11]
[3,2,5,4,6,7,10,8,9,12,11,1]=>[12,1,3,8,2,4,5,6,7,9,11,10]
[3,2,5,4,6,7,9,8,12,10,11,1]=>[1,3,7,10,12,2,4,5,6,8,11,9]
[3,2,5,4,6,7,8,12,9,10,11,1]=>[1,3,9,10,12,2,4,5,6,7,11,8]
[3,2,4,7,5,6,9,8,11,10,12,1]=>[7,1,4,10,2,3,5,6,8,9,12,11]
[3,2,4,7,5,6,9,8,10,12,11,1]=>[7,1,4,12,2,3,5,6,8,9,11,10]
[3,2,4,7,5,6,8,11,9,10,12,1]=>[9,1,4,10,2,3,5,6,7,8,12,11]
[3,2,4,7,5,6,8,10,9,12,11,1]=>[8,1,4,12,2,3,5,6,7,9,11,10]
[3,2,4,7,5,6,8,9,12,10,11,1]=>[10,1,4,12,2,3,5,6,7,8,11,9]
[3,2,4,6,5,9,7,8,11,10,12,1]=>[10,1,4,7,2,3,5,6,8,9,12,11]
[3,2,4,6,5,9,7,8,10,12,11,1]=>[12,1,4,7,2,3,5,6,8,9,11,10]
[3,2,4,6,5,8,7,11,9,10,12,1]=>[1,4,6,9,10,2,3,5,7,8,12,11]
[3,2,4,6,5,8,7,10,9,12,11,1]=>[1,4,6,8,12,2,3,5,7,9,11,10]
[3,2,4,6,5,8,7,9,12,10,11,1]=>[1,4,6,10,12,2,3,5,7,8,11,9]
[3,2,4,6,5,7,11,8,9,10,12,1]=>[1,4,8,9,10,2,3,5,6,7,12,11]
[3,2,4,6,5,7,10,8,9,12,11,1]=>[12,1,4,8,2,3,5,6,7,9,11,10]
[3,2,4,6,5,7,9,8,12,10,11,1]=>[1,4,7,10,12,2,3,5,6,8,11,9]
[3,2,4,6,5,7,8,12,9,10,11,1]=>[1,4,9,10,12,2,3,5,6,7,11,8]
[3,2,4,5,9,6,7,8,11,10,12,1]=>[10,1,6,7,2,3,4,5,8,9,12,11]
[3,2,4,5,9,6,7,8,10,12,11,1]=>[12,1,6,7,2,3,4,5,8,9,11,10]
[3,2,4,5,8,6,7,11,9,10,12,1]=>[9,1,5,10,2,3,4,6,7,8,12,11]
[3,2,4,5,8,6,7,10,9,12,11,1]=>[8,1,5,12,2,3,4,6,7,9,11,10]
[3,2,4,5,8,6,7,9,12,10,11,1]=>[10,1,5,12,2,3,4,6,7,8,11,9]
[3,2,4,5,7,6,11,8,9,10,12,1]=>[1,5,8,9,10,2,3,4,6,7,12,11]
[3,2,4,5,7,6,10,8,9,12,11,1]=>[12,1,5,8,2,3,4,6,7,9,11,10]
[3,2,4,5,7,6,9,8,12,10,11,1]=>[1,5,7,10,12,2,3,4,6,8,11,9]
[3,2,4,5,7,6,8,12,9,10,11,1]=>[1,5,9,10,12,2,3,4,6,7,11,8]
[3,2,4,5,6,11,7,8,9,10,12,1]=>[1,7,8,9,10,2,3,4,5,6,12,11]
[3,2,4,5,6,10,7,8,9,12,11,1]=>[12,1,7,8,2,3,4,5,6,9,11,10]
[3,2,4,5,6,9,7,8,12,10,11,1]=>[10,1,6,12,2,3,4,5,7,8,11,9]
[3,2,4,5,6,8,7,12,9,10,11,1]=>[1,6,9,10,12,2,3,4,5,7,11,8]
[3,2,4,5,6,7,12,8,9,10,11,1]=>[1,8,9,10,12,2,3,4,5,6,11,7]
[2,5,3,4,7,6,9,8,11,10,12,1]=>[5,2,7,10,1,3,4,6,8,9,12,11]
[2,5,3,4,7,6,9,8,10,12,11,1]=>[5,2,7,12,1,3,4,6,8,9,11,10]
[2,5,3,4,7,6,8,11,9,10,12,1]=>[5,2,9,10,1,3,4,6,7,8,12,11]
[2,5,3,4,7,6,8,10,9,12,11,1]=>[5,2,8,12,1,3,4,6,7,9,11,10]
[2,5,3,4,7,6,8,9,12,10,11,1]=>[5,2,10,12,1,3,4,6,7,8,11,9]
[2,5,3,4,6,9,7,8,11,10,12,1]=>[2,10,7,1,3,4,5,6,8,9,12,11]
[2,5,3,4,6,9,7,8,10,12,11,1]=>[2,12,7,1,3,4,5,6,8,9,11,10]
[2,5,3,4,6,8,7,11,9,10,12,1]=>[6,2,9,10,1,3,4,5,7,8,12,11]
[2,5,3,4,6,8,7,10,9,12,11,1]=>[6,2,8,12,1,3,4,5,7,9,11,10]
[2,5,3,4,6,8,7,9,12,10,11,1]=>[6,2,10,12,1,3,4,5,7,8,11,9]
[2,5,3,4,6,7,11,8,9,10,12,1]=>[8,2,9,10,1,3,4,5,6,7,12,11]
[2,5,3,4,6,7,10,8,9,12,11,1]=>[2,12,8,1,3,4,5,6,7,9,11,10]
[2,5,3,4,6,7,9,8,12,10,11,1]=>[7,2,10,12,1,3,4,5,6,8,11,9]
[2,5,3,4,6,7,8,12,9,10,11,1]=>[9,2,10,12,1,3,4,5,6,7,11,8]
[2,4,3,7,5,6,9,8,11,10,12,1]=>[7,2,4,10,1,3,5,6,8,9,12,11]
[2,4,3,7,5,6,9,8,10,12,11,1]=>[7,2,4,12,1,3,5,6,8,9,11,10]
[2,4,3,7,5,6,8,11,9,10,12,1]=>[9,2,4,10,1,3,5,6,7,8,12,11]
[2,4,3,7,5,6,8,10,9,12,11,1]=>[8,2,4,12,1,3,5,6,7,9,11,10]
[2,4,3,7,5,6,8,9,12,10,11,1]=>[10,2,4,12,1,3,5,6,7,8,11,9]
[2,4,3,6,5,9,7,8,11,10,12,1]=>[10,2,4,7,1,3,5,6,8,9,12,11]
[2,4,3,6,5,9,7,8,10,12,11,1]=>[12,2,4,7,1,3,5,6,8,9,11,10]
[2,4,3,6,5,8,7,11,9,10,12,1]=>[2,4,6,9,10,1,3,5,7,8,12,11]
[2,4,3,6,5,8,7,9,12,10,11,1]=>[2,4,6,10,12,1,3,5,7,8,11,9]
[2,4,3,6,5,7,11,8,9,10,12,1]=>[2,4,8,9,10,1,3,5,6,7,12,11]
[2,4,3,6,5,7,10,8,9,12,11,1]=>[12,2,4,8,1,3,5,6,7,9,11,10]
[2,4,3,6,5,7,9,8,12,10,11,1]=>[2,4,7,10,12,1,3,5,6,8,11,9]
[2,4,3,6,5,7,8,12,9,10,11,1]=>[2,4,9,10,12,1,3,5,6,7,11,8]
[2,4,3,5,9,6,7,8,11,10,12,1]=>[10,2,6,7,1,3,4,5,8,9,12,11]
[2,4,3,5,9,6,7,8,10,12,11,1]=>[12,2,6,7,1,3,4,5,8,9,11,10]
[2,4,3,5,8,6,7,11,9,10,12,1]=>[9,2,5,10,1,3,4,6,7,8,12,11]
[2,4,3,5,8,6,7,10,9,12,11,1]=>[8,2,5,12,1,3,4,6,7,9,11,10]
[2,4,3,5,8,6,7,9,12,10,11,1]=>[10,2,5,12,1,3,4,6,7,8,11,9]
[2,4,3,5,7,6,11,8,9,10,12,1]=>[2,5,8,9,10,1,3,4,6,7,12,11]
[2,4,3,5,7,6,10,8,9,12,11,1]=>[12,2,5,8,1,3,4,6,7,9,11,10]
[2,4,3,5,7,6,9,8,12,10,11,1]=>[2,5,7,10,12,1,3,4,6,8,11,9]
[2,4,3,5,7,6,8,12,9,10,11,1]=>[2,5,9,10,12,1,3,4,6,7,11,8]
[2,4,3,5,6,11,7,8,9,10,12,1]=>[2,7,8,9,10,1,3,4,5,6,12,11]
[2,4,3,5,6,10,7,8,9,12,11,1]=>[12,2,7,8,1,3,4,5,6,9,11,10]
[2,4,3,5,6,9,7,8,12,10,11,1]=>[10,2,6,12,1,3,4,5,7,8,11,9]
[2,4,3,5,6,8,7,12,9,10,11,1]=>[2,6,9,10,12,1,3,4,5,7,11,8]
[2,4,3,5,6,7,12,8,9,10,11,1]=>[2,8,9,10,12,1,3,4,5,6,11,7]
[2,3,7,4,5,6,9,8,11,10,12,1]=>[7,10,4,1,2,3,5,6,8,9,12,11]
[2,3,7,4,5,6,9,8,10,12,11,1]=>[7,12,4,1,2,3,5,6,8,9,11,10]
[2,3,7,4,5,6,8,11,9,10,12,1]=>[9,10,4,1,2,3,5,6,7,8,12,11]
[2,3,7,4,5,6,8,10,9,12,11,1]=>[8,12,4,1,2,3,5,6,7,9,11,10]
[2,3,7,4,5,6,8,9,12,10,11,1]=>[10,12,4,1,2,3,5,6,7,8,11,9]
[2,3,6,4,5,9,7,8,11,10,12,1]=>[3,10,7,1,2,4,5,6,8,9,12,11]
[2,3,6,4,5,9,7,8,10,12,11,1]=>[3,12,7,1,2,4,5,6,8,9,11,10]
[2,3,6,4,5,8,7,11,9,10,12,1]=>[6,3,9,10,1,2,4,5,7,8,12,11]
[2,3,6,4,5,8,7,10,9,12,11,1]=>[6,3,8,12,1,2,4,5,7,9,11,10]
[2,3,6,4,5,8,7,9,12,10,11,1]=>[6,3,10,12,1,2,4,5,7,8,11,9]
[2,3,6,4,5,7,11,8,9,10,12,1]=>[8,3,9,10,1,2,4,5,6,7,12,11]
[2,3,6,4,5,7,10,8,9,12,11,1]=>[3,12,8,1,2,4,5,6,7,9,11,10]
[2,3,6,4,5,7,9,8,12,10,11,1]=>[7,3,10,12,1,2,4,5,6,8,11,9]
[2,3,6,4,5,7,8,12,9,10,11,1]=>[9,3,10,12,1,2,4,5,6,7,11,8]
[2,3,5,4,9,6,7,8,11,10,12,1]=>[10,3,6,7,1,2,4,5,8,9,12,11]
[2,3,5,4,9,6,7,8,10,12,11,1]=>[12,3,6,7,1,2,4,5,8,9,11,10]
[2,3,5,4,8,6,7,11,9,10,12,1]=>[9,3,5,10,1,2,4,6,7,8,12,11]
[2,3,5,4,8,6,7,10,9,12,11,1]=>[8,3,5,12,1,2,4,6,7,9,11,10]
[2,3,5,4,8,6,7,9,12,10,11,1]=>[10,3,5,12,1,2,4,6,7,8,11,9]
[2,3,5,4,7,6,11,8,9,10,12,1]=>[3,5,8,9,10,1,2,4,6,7,12,11]
[2,3,5,4,7,6,10,8,9,12,11,1]=>[12,3,5,8,1,2,4,6,7,9,11,10]
[2,3,5,4,7,6,9,8,12,10,11,1]=>[3,5,7,10,12,1,2,4,6,8,11,9]
[2,3,5,4,7,6,8,12,9,10,11,1]=>[3,5,9,10,12,1,2,4,6,7,11,8]
[2,3,5,4,6,11,7,8,9,10,12,1]=>[3,7,8,9,10,1,2,4,5,6,12,11]
[2,3,5,4,6,10,7,8,9,12,11,1]=>[12,3,7,8,1,2,4,5,6,9,11,10]
[2,3,5,4,6,9,7,8,12,10,11,1]=>[10,3,6,12,1,2,4,5,7,8,11,9]
[2,3,5,4,6,8,7,12,9,10,11,1]=>[3,6,9,10,12,1,2,4,5,7,11,8]
[2,3,5,4,6,7,12,8,9,10,11,1]=>[3,8,9,10,12,1,2,4,5,6,11,7]
[2,3,4,9,5,6,7,8,11,10,12,1]=>[10,5,6,7,1,2,3,4,8,9,12,11]
[2,3,4,9,5,6,7,8,10,12,11,1]=>[12,5,6,7,1,2,3,4,8,9,11,10]
[2,3,4,8,5,6,7,11,9,10,12,1]=>[9,10,5,1,2,3,4,6,7,8,12,11]
[2,3,4,8,5,6,7,10,9,12,11,1]=>[8,12,5,1,2,3,4,6,7,9,11,10]
[2,3,4,8,5,6,7,9,12,10,11,1]=>[10,12,5,1,2,3,4,6,7,8,11,9]
[2,3,4,7,5,6,11,8,9,10,12,1]=>[8,4,9,10,1,2,3,5,6,7,12,11]
[2,3,4,7,5,6,10,8,9,12,11,1]=>[4,12,8,1,2,3,5,6,7,9,11,10]
[2,3,4,7,5,6,9,8,12,10,11,1]=>[7,4,10,12,1,2,3,5,6,8,11,9]
[2,3,4,7,5,6,8,12,9,10,11,1]=>[9,4,10,12,1,2,3,5,6,7,11,8]
[2,3,4,6,5,11,7,8,9,10,12,1]=>[4,7,8,9,10,1,2,3,5,6,12,11]
[2,3,4,6,5,10,7,8,9,12,11,1]=>[12,4,7,8,1,2,3,5,6,9,11,10]
[2,3,4,6,5,9,7,8,12,10,11,1]=>[10,4,6,12,1,2,3,5,7,8,11,9]
[2,3,4,6,5,8,7,12,9,10,11,1]=>[4,6,9,10,12,1,2,3,5,7,11,8]
[2,3,4,6,5,7,12,8,9,10,11,1]=>[4,8,9,10,12,1,2,3,5,6,11,7]
[2,3,4,5,11,6,7,8,9,10,12,1]=>[6,7,8,9,10,1,2,3,4,5,12,11]
[2,3,4,5,10,6,7,8,9,12,11,1]=>[12,6,7,8,1,2,3,4,5,9,11,10]
[2,3,4,5,9,6,7,8,12,10,11,1]=>[10,12,6,1,2,3,4,5,7,8,11,9]
[2,3,4,5,8,6,7,12,9,10,11,1]=>[9,5,10,12,1,2,3,4,6,7,11,8]
[2,3,4,5,7,6,12,8,9,10,11,1]=>[5,8,9,10,12,1,2,3,4,6,11,7]
[12,11,9,5,10,7,1,2,4,8,3,6]=>[9,4,11,12,7,8,6,3,10,5,2,1]
[11,9,5,12,10,7,1,2,4,8,3,6]=>[3,9,11,12,7,2,8,6,1,10,5,4]
[10,7,1,2,4,9,5,12,11,8,3,6]=>[11,6,12,10,5,2,7,9,3,1,4,8]
[12,10,7,1,2,4,9,5,11,8,3,6]=>[11,12,8,6,7,3,10,4,5,2,9,1]
[10,7,1,2,4,12,9,5,11,8,3,6]=>[11,12,8,7,2,10,5,9,3,1,4,6]
[8,3,7,1,2,4,12,11,9,5,10,6]=>[12,10,9,2,3,1,11,8,4,5,6,7]
[8,3,7,1,2,4,11,9,5,12,10,6]=>[8,12,11,2,9,4,3,1,5,6,7,10]
[12,11,8,3,7,1,2,4,9,5,10,6]=>[12,4,10,6,7,8,5,3,9,11,2,1]
[11,8,3,7,1,2,4,9,5,12,10,6]=>[8,12,3,11,5,6,4,2,7,9,1,10]
[12,9,5,11,8,3,7,1,2,4,10,6]=>[3,6,12,8,9,2,10,7,5,11,4,1]
[8,3,12,11,7,1,2,4,9,5,10,6]=>[12,10,6,7,1,8,2,5,9,11,4,3]
[8,3,11,7,1,2,4,9,5,12,10,6]=>[8,12,11,2,5,1,6,4,7,9,3,10]
[8,3,12,9,5,11,7,1,2,4,10,6]=>[5,12,8,1,9,4,10,2,7,11,6,3]
[12,8,3,9,5,11,7,1,2,4,10,6]=>[5,12,8,9,3,2,4,10,7,11,6,1]
[10,7,1,2,5,12,11,9,4,8,3,6]=>[9,11,2,12,10,5,8,7,3,1,4,6]
[12,10,7,1,2,5,11,9,4,8,3,6]=>[9,11,12,6,3,10,8,4,5,2,7,1]
[9,4,10,7,1,2,5,12,11,8,3,6]=>[11,12,10,2,7,4,1,9,5,3,6,8]
[9,4,12,10,7,1,2,5,11,8,3,6]=>[11,12,8,10,2,1,6,5,7,4,9,3]
[12,9,4,10,7,1,2,5,11,8,3,6]=>[11,12,3,8,10,6,5,2,7,4,9,1]
[12,11,9,4,8,3,7,1,2,5,10,6]=>[4,6,12,8,9,10,7,5,3,11,2,1]
[11,9,4,8,3,7,1,2,5,12,10,6]=>[12,3,5,11,7,8,6,4,2,9,1,10]
[9,4,12,11,8,3,7,1,2,5,10,6]=>[6,12,8,9,1,10,2,7,5,11,4,3]
[9,4,11,8,3,7,1,2,5,12,10,6]=>[12,5,11,2,7,1,8,6,4,9,3,10]
[11,8,3,7,1,2,5,12,9,4,10,6]=>[12,10,3,7,9,4,2,11,5,6,1,8]
[8,3,9,4,12,11,7,1,2,5,10,6]=>[12,8,9,3,1,10,2,4,7,11,6,5]
[8,3,9,4,11,7,1,2,5,12,10,6]=>[12,11,4,7,2,1,3,8,6,9,5,10]
[8,3,11,7,1,2,5,12,9,4,10,6]=>[12,10,7,9,2,1,4,11,5,6,3,8]
[11,7,1,2,5,12,8,3,9,4,10,6]=>[12,10,5,8,7,2,9,11,3,4,1,6]
[10,5,12,11,9,4,8,3,7,1,2,6]=>[6,10,8,11,1,12,2,9,7,5,4,3]
[12,10,5,11,9,4,8,3,7,1,2,6]=>[6,10,3,8,11,2,12,9,7,5,4,1]
[9,4,10,5,12,11,8,3,7,1,2,6]=>[10,8,11,3,1,12,2,4,9,7,6,5]
[9,4,12,10,5,11,8,3,7,1,2,6]=>[10,5,8,1,11,4,12,2,9,7,6,3]
[12,9,4,10,5,11,8,3,7,1,2,6]=>[10,5,8,11,3,2,4,12,9,7,6,1]
[8,3,9,4,10,5,12,11,7,1,2,6]=>[10,11,5,3,1,12,2,4,6,9,8,7]
[8,3,9,4,12,10,5,11,7,1,2,6]=>[7,10,3,1,11,6,12,2,4,9,8,5]
[8,3,12,9,4,10,5,11,7,1,2,6]=>[7,10,1,11,5,4,6,12,2,9,8,3]
[12,8,3,9,4,10,5,11,7,1,2,6]=>[7,10,11,5,3,2,4,6,12,9,8,1]
[7,1,2,8,3,9,4,10,5,12,11,6]=>[8,6,4,12,11,2,1,3,5,7,9,10]
[7,1,2,8,3,9,4,12,10,5,11,6]=>[6,4,12,10,9,1,11,2,3,5,7,8]
[7,1,2,8,3,12,9,4,10,5,11,6]=>[4,12,10,8,7,1,9,11,2,3,5,6]
[7,1,2,12,8,3,9,4,10,5,11,6]=>[12,10,8,6,5,1,7,9,11,2,3,4]
[12,7,1,2,8,3,9,4,10,5,11,6]=>[12,10,8,6,3,4,2,5,7,9,11,1]
[8,2,4,12,11,9,5,10,7,1,3,6]=>[7,10,1,11,6,12,9,3,8,2,5,4]
[8,2,4,11,9,5,12,10,7,1,3,6]=>[10,11,5,1,12,6,3,4,9,2,8,7]
[12,11,8,2,4,9,5,10,7,1,3,6]=>[7,10,11,5,6,3,12,4,9,8,2,1]
[11,8,2,4,9,5,12,10,7,1,3,6]=>[10,11,5,12,4,2,6,9,3,1,8,7]
[12,9,5,11,8,2,4,10,7,1,3,6]=>[3,7,10,11,2,12,6,5,9,8,4,1]
[7,1,3,8,2,4,12,11,9,5,10,6]=>[4,12,10,9,1,11,3,8,2,5,6,7]
[7,1,3,8,2,4,11,9,5,12,10,6]=>[8,4,12,11,3,1,9,2,5,6,7,10]
[7,1,3,12,11,8,2,4,9,5,10,6]=>[12,10,7,1,8,6,9,11,3,5,2,4]
[7,1,3,11,8,2,4,9,5,12,10,6]=>[8,12,11,6,3,1,5,7,9,2,4,10]
[7,1,3,12,9,5,11,8,2,4,10,6]=>[12,6,1,9,5,10,8,11,3,7,2,4]
[12,11,7,1,3,8,2,4,9,5,10,6]=>[12,10,5,7,8,4,3,6,9,11,2,1]
[11,7,1,3,8,2,4,9,5,12,10,6]=>[8,12,11,4,6,3,2,5,7,9,1,10]
[12,9,5,11,7,1,3,8,2,4,10,6]=>[3,12,7,9,10,6,5,2,8,11,4,1]
[11,7,1,3,9,5,12,8,2,4,10,6]=>[12,6,9,5,2,10,4,8,11,3,1,7]
[12,11,9,4,8,2,5,10,7,1,3,6]=>[4,7,10,11,12,6,5,3,9,8,2,1]
[11,9,4,8,2,5,12,10,7,1,3,6]=>[10,11,12,3,6,4,2,9,5,1,8,7]
[9,4,12,11,8,2,5,10,7,1,3,6]=>[7,10,11,1,12,6,2,5,9,8,4,3]
[9,4,11,8,2,5,12,10,7,1,3,6]=>[10,11,12,6,2,1,4,9,5,3,8,7]
[11,8,2,5,12,9,4,10,7,1,3,6]=>[7,10,11,4,2,6,12,9,3,1,8,5]
[7,1,3,12,11,9,4,8,2,5,10,6]=>[12,7,1,9,10,8,6,11,3,5,2,4]
[7,1,3,11,9,4,8,2,5,12,10,6]=>[12,11,6,1,8,7,3,5,9,2,4,10]
[7,1,3,9,4,12,11,8,2,5,10,6]=>[12,9,4,1,10,8,11,3,5,7,2,6]
[7,1,3,9,4,11,8,2,5,12,10,6]=>[12,11,8,5,3,1,4,7,9,2,6,10]
[7,1,3,11,8,2,5,12,9,4,10,6]=>[12,10,7,5,1,9,11,3,6,2,4,8]
[9,4,12,11,7,1,3,8,2,5,10,6]=>[12,7,9,10,2,1,6,5,8,11,4,3]
[9,4,11,7,1,3,8,2,5,12,10,6]=>[12,11,2,6,8,5,4,1,7,9,3,10]
[11,7,1,3,8,2,5,12,9,4,10,6]=>[12,10,7,4,5,2,9,11,3,6,1,8]
[12,8,2,5,11,7,1,3,9,4,10,6]=>[12,4,10,7,8,3,2,6,9,11,5,1]
[7,1,3,10,5,12,11,9,4,8,2,6]=>[9,1,11,4,12,10,5,8,3,7,2,6]
[7,1,3,12,10,5,11,9,4,8,2,6]=>[9,1,11,12,6,5,10,8,3,7,2,4]
[7,1,3,9,4,10,5,12,11,8,2,6]=>[11,6,4,1,12,10,3,5,7,9,2,8]
[7,1,3,9,4,12,10,5,11,8,2,6]=>[11,4,1,12,8,7,10,3,5,9,2,6]
[7,1,3,12,9,4,10,5,11,8,2,6]=>[11,1,12,8,6,5,7,10,3,9,2,4]
[9,4,10,5,12,11,7,1,3,8,2,6]=>[9,11,12,4,2,1,3,8,7,10,6,5]
[9,4,12,10,5,11,7,1,3,8,2,6]=>[5,9,11,1,12,8,2,7,4,10,6,3]
[12,9,4,10,5,11,7,1,3,8,2,6]=>[5,9,11,12,3,2,8,7,4,10,6,1]
[11,7,1,3,9,4,10,5,12,8,2,6]=>[11,12,8,6,4,2,5,7,10,3,1,9]
[8,2,7,1,3,9,4,10,5,12,11,6]=>[8,6,12,11,2,4,3,1,5,7,9,10]
[8,2,7,1,3,9,4,12,10,5,11,6]=>[6,12,10,9,2,3,1,11,4,5,7,8]
[8,2,7,1,3,12,9,4,10,5,11,6]=>[12,10,8,7,2,3,1,9,11,4,5,6]
[12,8,2,7,1,3,9,4,10,5,11,6]=>[12,10,8,3,5,6,4,2,7,9,11,1]
[8,2,12,7,1,3,9,4,10,5,11,6]=>[12,10,8,5,6,2,1,4,7,9,11,3]
[10,7,1,4,8,2,5,12,11,9,3,6]=>[11,5,12,4,2,10,7,9,3,1,6,8]
[12,10,7,1,4,8,2,5,11,9,3,6]=>[11,12,5,8,6,3,10,4,7,2,9,1]
[12,11,8,2,5,10,7,1,4,9,3,6]=>[5,9,11,12,8,4,3,7,10,6,2,1]
[11,8,2,5,12,10,7,1,4,9,3,6]=>[9,11,12,4,2,8,7,10,3,1,6,5]
[10,7,1,4,11,8,2,5,12,9,3,6]=>[11,12,8,4,2,6,10,7,3,1,5,9]
[12,11,9,3,7,1,4,8,2,5,10,6]=>[12,4,7,9,10,6,5,8,3,11,2,1]
[11,9,3,7,1,4,8,2,5,12,10,6]=>[12,11,3,6,8,5,4,7,2,9,1,10]
[9,3,7,1,4,12,11,8,2,5,10,6]=>[12,9,3,10,2,8,1,11,5,7,4,6]
[9,3,7,1,4,11,8,2,5,12,10,6]=>[12,11,8,2,5,3,7,1,9,4,6,10]
[11,8,2,5,12,9,3,7,1,4,10,6]=>[12,4,7,9,2,10,8,3,6,1,11,5]
[12,11,7,1,4,9,3,8,2,5,10,6]=>[12,5,7,9,3,10,8,4,6,11,2,1]
[11,7,1,4,9,3,8,2,5,12,10,6]=>[12,11,4,6,2,8,7,3,5,9,1,10]
[12,9,3,8,2,5,11,7,1,4,10,6]=>[12,6,9,10,3,5,4,2,8,11,7,1]
[9,3,12,8,2,5,11,7,1,4,10,6]=>[12,6,9,10,5,2,1,4,8,11,7,3]
[10,5,12,11,9,3,7,1,4,8,2,6]=>[6,9,11,12,2,1,8,7,10,5,4,3]
[12,10,5,11,9,3,7,1,4,8,2,6]=>[3,6,9,11,12,8,7,2,10,5,4,1]
[9,3,7,1,4,10,5,12,11,8,2,6]=>[11,6,3,12,2,10,5,1,7,9,4,8]
[9,3,7,1,4,12,10,5,11,8,2,6]=>[11,3,12,8,2,7,1,10,5,9,4,6]
[12,9,3,7,1,4,10,5,11,8,2,6]=>[11,12,8,3,6,4,7,2,10,5,9,1]
[10,5,12,11,7,1,4,9,3,8,2,6]=>[7,9,11,2,5,1,12,10,6,8,4,3]
[12,10,5,11,7,1,4,9,3,8,2,6]=>[3,7,9,11,5,12,10,6,2,8,4,1]
[11,7,1,4,10,5,12,9,3,8,2,6]=>[9,11,2,12,6,4,5,10,8,3,1,7]
[9,3,11,7,1,4,10,5,12,8,2,6]=>[11,12,8,6,2,4,1,7,10,5,3,9]
[9,3,8,2,7,1,4,10,5,12,11,6]=>[8,12,11,2,4,6,5,3,1,7,9,10]
[9,3,8,2,7,1,4,12,10,5,11,6]=>[12,10,9,2,4,5,3,1,11,6,7,8]
[12,9,3,8,2,7,1,4,10,5,11,6]=>[12,10,3,5,7,8,6,4,2,9,11,1]
[9,3,12,8,2,7,1,4,10,5,11,6]=>[12,10,5,7,8,2,1,6,4,9,11,3]
[8,2,9,3,12,7,1,4,10,5,11,6]=>[12,10,7,8,4,2,1,3,6,9,11,5]
[12,11,9,3,7,1,5,10,4,8,2,6]=>[7,9,11,4,5,12,10,6,3,8,2,1]
[11,9,3,7,1,5,12,10,4,8,2,6]=>[9,11,4,12,3,6,2,10,8,5,1,7]
[10,4,9,3,7,1,5,12,11,8,2,6]=>[11,5,12,2,4,10,7,3,1,9,6,8]
[12,10,4,9,3,7,1,5,11,8,2,6]=>[11,12,3,5,8,6,10,7,4,2,9,1]
[10,4,12,9,3,7,1,5,11,8,2,6]=>[11,12,5,8,2,6,1,10,7,4,9,3]
[12,11,7,1,5,10,4,9,3,8,2,6]=>[5,7,9,3,11,12,10,8,4,6,2,1]
[11,7,1,5,12,10,4,9,3,8,2,6]=>[7,9,2,11,12,4,10,8,6,3,1,5]
[10,4,11,7,1,5,12,9,3,8,2,6]=>[9,11,4,12,2,6,1,10,8,5,3,7]
[9,3,10,4,11,7,1,5,12,8,2,6]=>[11,12,8,4,6,2,1,3,10,7,5,9]
[10,4,9,3,8,2,7,1,5,12,11,6]=>[12,11,2,4,6,8,7,5,3,1,9,10]
[12,10,4,9,3,8,2,7,1,5,11,6]=>[12,3,5,7,9,10,8,6,4,2,11,1]
[10,4,12,9,3,8,2,7,1,5,11,6]=>[12,5,7,9,10,2,1,8,6,4,11,3]
[9,3,10,4,12,8,2,7,1,5,11,6]=>[12,7,9,10,4,2,1,3,8,6,11,5]
[8,2,9,3,10,4,12,7,1,5,11,6]=>[12,9,10,6,4,2,1,3,5,8,11,7]
[12,11,5,10,4,9,3,8,2,7,1,6]=>[3,5,7,9,11,12,10,8,6,4,2,1]
[11,5,12,10,4,9,3,8,2,7,1,6]=>[5,7,9,11,12,2,1,10,8,6,4,3]
[10,4,11,5,12,9,3,8,2,7,1,6]=>[7,9,11,12,4,2,1,3,10,8,6,5]
[9,3,10,4,11,5,12,8,2,7,1,6]=>[9,11,12,6,4,2,1,3,5,10,8,7]
[8,2,9,3,10,4,11,5,12,7,1,6]=>[11,12,8,6,4,2,1,3,5,7,10,9]
[3,4,1,5,6,7,8,9,10,11,12,2]=>[1,4,2,5,6,7,8,9,10,12,3,11]
[8,2,9,3,10,4,11,5,12,6,1,7]=>[11,8,10,6,4,2,1,3,5,7,12,9]
[8,2,9,3,10,4,11,5,12,1,6,7]=>[8,10,11,6,4,2,1,3,5,7,12,9]
[8,2,9,3,10,4,11,12,5,6,1,7]=>[9,11,10,6,4,2,1,3,5,7,12,8]
[8,2,9,3,10,4,11,12,5,1,6,7]=>[10,9,11,6,4,2,1,3,5,7,12,8]
[8,2,9,3,10,4,11,12,1,5,6,7]=>[9,10,11,6,4,2,1,3,5,7,12,8]
[8,2,9,3,10,11,4,5,12,6,1,7]=>[11,7,8,5,3,1,10,2,4,6,12,9]
[8,2,9,3,10,11,4,5,12,1,6,7]=>[7,8,10,5,3,1,11,2,4,6,12,9]
[8,2,9,3,10,11,4,12,5,6,1,7]=>[9,11,7,5,3,1,10,2,4,6,12,8]
[8,2,9,3,10,11,4,12,5,1,6,7]=>[10,7,9,5,3,1,11,2,4,6,12,8]
[8,2,9,3,10,11,4,12,1,5,6,7]=>[7,9,10,5,3,1,11,2,4,6,12,8]
[8,2,9,3,10,11,12,4,5,6,1,7]=>[8,9,5,3,1,11,10,2,4,6,12,7]
[8,2,9,3,10,11,12,4,5,1,6,7]=>[8,10,9,5,3,1,11,2,4,6,12,7]
[8,2,9,3,10,11,12,4,1,5,6,7]=>[9,8,10,5,3,1,11,2,4,6,12,7]
[8,2,9,3,10,11,12,1,4,5,6,7]=>[8,9,10,5,3,1,11,2,4,6,12,7]
[8,2,9,10,3,4,11,5,12,6,1,7]=>[11,8,10,5,3,1,6,2,4,7,12,9]
[8,2,9,10,3,4,11,5,12,1,6,7]=>[8,10,11,5,3,1,6,2,4,7,12,9]
[8,2,9,10,3,4,11,12,5,6,1,7]=>[9,11,10,5,3,1,6,2,4,7,12,8]
[8,2,9,10,3,4,11,12,5,1,6,7]=>[10,9,11,5,3,1,6,2,4,7,12,8]
[8,2,9,10,3,4,11,12,1,5,6,7]=>[9,10,11,5,3,1,6,2,4,7,12,8]
[8,2,9,10,3,11,4,5,12,6,1,7]=>[11,7,8,3,1,10,5,2,4,6,12,9]
[8,2,9,10,3,11,4,5,12,1,6,7]=>[7,8,10,3,1,11,5,2,4,6,12,9]
[8,2,9,10,3,11,4,12,5,6,1,7]=>[9,11,7,3,1,10,5,2,4,6,12,8]
[8,2,9,10,3,11,4,12,5,1,6,7]=>[10,7,9,3,1,11,5,2,4,6,12,8]
[8,2,9,10,3,11,4,12,1,5,6,7]=>[7,9,10,3,1,11,5,2,4,6,12,8]
[8,2,9,10,3,11,12,4,5,6,1,7]=>[8,9,3,1,11,10,5,2,4,6,12,7]
[8,2,9,10,3,11,12,4,5,1,6,7]=>[8,10,9,3,1,11,5,2,4,6,12,7]
[8,2,9,10,3,11,12,4,1,5,6,7]=>[9,8,10,3,1,11,5,2,4,6,12,7]
[8,2,9,10,3,11,12,1,4,5,6,7]=>[8,9,10,3,1,11,5,2,4,6,12,7]
[8,2,9,10,11,3,4,5,12,6,1,7]=>[11,6,7,3,1,8,4,10,2,5,12,9]
[8,2,9,10,11,3,4,5,12,1,6,7]=>[6,7,8,3,1,10,4,11,2,5,12,9]
[8,2,9,10,11,3,4,12,5,6,1,7]=>[9,11,6,3,1,7,4,10,2,5,12,8]
[8,2,9,10,11,3,4,12,5,1,6,7]=>[10,6,7,3,1,9,4,11,2,5,12,8]
[8,2,9,10,11,3,4,12,1,5,6,7]=>[6,7,9,3,1,10,4,11,2,5,12,8]
[8,2,9,10,11,3,12,4,5,6,1,7]=>[8,9,3,1,11,6,4,10,2,5,12,7]
[8,2,9,10,11,3,12,4,5,1,6,7]=>[8,10,6,3,1,9,4,11,2,5,12,7]
[8,2,9,10,11,3,12,4,1,5,6,7]=>[9,6,8,3,1,10,4,11,2,5,12,7]
[8,2,9,10,11,3,12,1,4,5,6,7]=>[6,8,9,3,1,10,4,11,2,5,12,7]
[8,2,9,10,11,12,3,4,5,6,1,7]=>[7,8,3,1,9,4,11,10,2,5,12,6]
[8,2,9,10,11,12,3,4,5,1,6,7]=>[7,8,3,1,10,9,4,11,2,5,12,6]
[8,2,9,10,11,12,3,4,1,5,6,7]=>[7,9,8,3,1,10,4,11,2,5,12,6]
[8,2,9,10,11,12,3,1,4,5,6,7]=>[8,7,9,3,1,10,4,11,2,5,12,6]
[8,2,9,10,11,12,1,3,4,5,6,7]=>[7,8,9,3,1,10,4,11,2,5,12,6]
[8,9,2,3,10,4,11,5,12,6,1,7]=>[11,8,10,6,3,1,4,2,5,7,12,9]
[8,9,2,3,10,4,11,5,12,1,6,7]=>[8,10,11,6,3,1,4,2,5,7,12,9]
[8,9,2,3,10,4,11,12,5,6,1,7]=>[9,11,10,6,3,1,4,2,5,7,12,8]
[8,9,2,3,10,4,11,12,5,1,6,7]=>[10,9,11,6,3,1,4,2,5,7,12,8]
[8,9,2,3,10,4,11,12,1,5,6,7]=>[9,10,11,6,3,1,4,2,5,7,12,8]
[8,9,2,3,10,11,4,5,12,6,1,7]=>[11,7,8,5,1,10,3,2,4,6,12,9]
[8,9,2,3,10,11,4,5,12,1,6,7]=>[7,8,10,5,1,11,3,2,4,6,12,9]
[8,9,2,3,10,11,4,12,5,6,1,7]=>[9,11,7,5,1,10,3,2,4,6,12,8]
[8,9,2,3,10,11,4,12,5,1,6,7]=>[10,7,9,5,1,11,3,2,4,6,12,8]
[8,9,2,3,10,11,4,12,1,5,6,7]=>[7,9,10,5,1,11,3,2,4,6,12,8]
[8,9,2,3,10,11,12,4,5,6,1,7]=>[8,9,5,1,11,10,3,2,4,6,12,7]
[8,9,2,3,10,11,12,4,5,1,6,7]=>[8,10,9,5,1,11,3,2,4,6,12,7]
[8,9,2,3,10,11,12,4,1,5,6,7]=>[9,8,10,5,1,11,3,2,4,6,12,7]
[8,9,2,3,10,11,12,1,4,5,6,7]=>[8,9,10,5,1,11,3,2,4,6,12,7]
[8,9,2,10,3,4,11,5,12,6,1,7]=>[11,8,10,5,1,6,3,2,4,7,12,9]
[8,9,2,10,3,4,11,5,12,1,6,7]=>[8,10,11,5,1,6,3,2,4,7,12,9]
[8,9,2,10,3,4,11,12,5,6,1,7]=>[9,11,10,5,1,6,3,2,4,7,12,8]
[8,9,2,10,3,4,11,12,5,1,6,7]=>[10,9,11,5,1,6,3,2,4,7,12,8]
[8,9,2,10,3,4,11,12,1,5,6,7]=>[9,10,11,5,1,6,3,2,4,7,12,8]
[8,9,2,10,3,11,4,5,12,6,1,7]=>[11,7,8,1,10,5,3,2,4,6,12,9]
[8,9,2,10,3,11,4,5,12,1,6,7]=>[7,8,10,1,11,5,3,2,4,6,12,9]
[8,9,2,10,3,11,4,12,5,6,1,7]=>[9,11,7,1,10,5,3,2,4,6,12,8]
[8,9,2,10,3,11,4,12,5,1,6,7]=>[10,7,9,1,11,5,3,2,4,6,12,8]
[8,9,2,10,3,11,4,12,1,5,6,7]=>[7,9,10,1,11,5,3,2,4,6,12,8]
[8,9,2,10,3,11,12,4,5,6,1,7]=>[8,9,1,11,10,5,3,2,4,6,12,7]
[8,9,2,10,3,11,12,4,5,1,6,7]=>[8,10,9,1,11,5,3,2,4,6,12,7]
[8,9,2,10,3,11,12,4,1,5,6,7]=>[9,8,10,1,11,5,3,2,4,6,12,7]
[8,9,2,10,3,11,12,1,4,5,6,7]=>[8,9,10,1,11,5,3,2,4,6,12,7]
[8,9,2,10,11,3,4,5,12,6,1,7]=>[11,6,7,1,8,4,2,10,3,5,12,9]
[8,9,2,10,11,3,4,5,12,1,6,7]=>[6,7,8,1,10,4,2,11,3,5,12,9]
[8,9,2,10,11,3,4,12,5,6,1,7]=>[9,11,6,1,7,4,2,10,3,5,12,8]
[8,9,2,10,11,3,4,12,5,1,6,7]=>[10,6,7,1,9,4,2,11,3,5,12,8]
[8,9,2,10,11,3,4,12,1,5,6,7]=>[6,7,9,1,10,4,2,11,3,5,12,8]
[8,9,2,10,11,3,12,4,5,6,1,7]=>[8,9,1,11,6,4,2,10,3,5,12,7]
[8,9,2,10,11,3,12,4,5,1,6,7]=>[8,10,6,1,9,4,2,11,3,5,12,7]
[8,9,2,10,11,3,12,4,1,5,6,7]=>[9,6,8,1,10,4,2,11,3,5,12,7]
[8,9,2,10,11,3,12,1,4,5,6,7]=>[6,8,9,1,10,4,2,11,3,5,12,7]
[8,9,2,10,11,12,3,4,5,6,1,7]=>[7,8,1,9,4,2,11,10,3,5,12,6]
[8,9,2,10,11,12,3,4,5,1,6,7]=>[7,8,1,10,9,4,2,11,3,5,12,6]
[8,9,2,10,11,12,3,4,1,5,6,7]=>[7,9,8,1,10,4,2,11,3,5,12,6]
[8,9,2,10,11,12,3,1,4,5,6,7]=>[8,7,9,1,10,4,2,11,3,5,12,6]
[8,9,2,10,11,12,1,3,4,5,6,7]=>[7,8,9,1,10,4,2,11,3,5,12,6]
[8,9,10,2,3,4,11,5,12,6,1,7]=>[11,8,10,4,1,5,2,6,3,7,12,9]
[8,9,10,2,3,4,11,5,12,1,6,7]=>[8,10,11,4,1,5,2,6,3,7,12,9]
[8,9,10,2,3,4,11,12,5,6,1,7]=>[9,11,10,4,1,5,2,6,3,7,12,8]
[8,9,10,2,3,4,11,12,5,1,6,7]=>[10,9,11,4,1,5,2,6,3,7,12,8]
[8,9,10,2,3,4,11,12,1,5,6,7]=>[9,10,11,4,1,5,2,6,3,7,12,8]
[8,9,10,2,3,11,4,5,12,6,1,7]=>[11,7,8,1,10,4,2,5,3,6,12,9]
[8,9,10,2,3,11,4,5,12,1,6,7]=>[7,8,10,1,11,4,2,5,3,6,12,9]
[8,9,10,2,3,11,4,12,5,6,1,7]=>[9,11,7,1,10,4,2,5,3,6,12,8]
[8,9,10,2,3,11,4,12,5,1,6,7]=>[10,7,9,1,11,4,2,5,3,6,12,8]
[8,9,10,2,3,11,4,12,1,5,6,7]=>[7,9,10,1,11,4,2,5,3,6,12,8]
[8,9,10,2,3,11,12,4,5,6,1,7]=>[8,9,1,11,10,4,2,5,3,6,12,7]
[8,9,10,2,3,11,12,4,5,1,6,7]=>[8,10,9,1,11,4,2,5,3,6,12,7]
[8,9,10,2,3,11,12,4,1,5,6,7]=>[9,8,10,1,11,4,2,5,3,6,12,7]
[8,9,10,2,3,11,12,1,4,5,6,7]=>[8,9,10,1,11,4,2,5,3,6,12,7]
[8,9,10,2,11,3,4,5,12,6,1,7]=>[11,6,7,1,8,2,10,4,3,5,12,9]
[8,9,10,2,11,3,4,5,12,1,6,7]=>[6,7,8,1,10,2,11,4,3,5,12,9]
[8,9,10,2,11,3,4,12,5,6,1,7]=>[9,11,6,1,7,2,10,4,3,5,12,8]
[8,9,10,2,11,3,4,12,5,1,6,7]=>[10,6,7,1,9,2,11,4,3,5,12,8]
[8,9,10,2,11,3,4,12,1,5,6,7]=>[6,7,9,1,10,2,11,4,3,5,12,8]
[8,9,10,2,11,3,12,4,5,6,1,7]=>[8,9,1,11,6,2,10,4,3,5,12,7]
[8,9,10,2,11,3,12,4,5,1,6,7]=>[8,10,6,1,9,2,11,4,3,5,12,7]
[8,9,10,2,11,3,12,4,1,5,6,7]=>[9,6,8,1,10,2,11,4,3,5,12,7]
[8,9,10,2,11,3,12,1,4,5,6,7]=>[6,8,9,1,10,2,11,4,3,5,12,7]
[8,9,10,2,11,12,3,4,5,6,1,7]=>[7,8,1,9,2,11,10,4,3,5,12,6]
[8,9,10,2,11,12,3,4,5,1,6,7]=>[7,8,1,10,9,2,11,4,3,5,12,6]
[8,9,10,2,11,12,3,4,1,5,6,7]=>[7,9,8,1,10,2,11,4,3,5,12,6]
[8,9,10,2,11,12,3,1,4,5,6,7]=>[8,7,9,1,10,2,11,4,3,5,12,6]
[8,9,10,2,11,12,1,3,4,5,6,7]=>[7,8,9,1,10,2,11,4,3,5,12,6]
[8,9,10,11,2,3,4,5,12,6,1,7]=>[11,5,6,1,7,2,8,3,10,4,12,9]
[8,9,10,11,2,3,4,5,12,1,6,7]=>[5,6,7,1,8,2,10,3,11,4,12,9]
[8,9,10,11,2,3,4,12,5,6,1,7]=>[9,11,5,1,6,2,7,3,10,4,12,8]
[8,9,10,11,2,3,4,12,5,1,6,7]=>[10,5,6,1,7,2,9,3,11,4,12,8]
[8,9,10,11,2,3,4,12,1,5,6,7]=>[5,6,7,1,9,2,10,3,11,4,12,8]
[8,9,10,11,2,3,12,4,5,6,1,7]=>[8,9,1,11,5,2,6,3,10,4,12,7]
[8,9,10,11,2,3,12,4,5,1,6,7]=>[8,10,5,1,6,2,9,3,11,4,12,7]
[8,9,10,11,2,3,12,4,1,5,6,7]=>[9,5,6,1,8,2,10,3,11,4,12,7]
[8,9,10,11,2,3,12,1,4,5,6,7]=>[5,6,8,1,9,2,10,3,11,4,12,7]
[8,9,10,11,2,12,3,4,5,6,1,7]=>[7,8,1,9,2,11,5,3,10,4,12,6]
[8,9,10,11,2,12,3,4,5,1,6,7]=>[7,8,1,10,5,2,9,3,11,4,12,6]
[8,9,10,11,2,12,3,4,1,5,6,7]=>[7,9,5,1,8,2,10,3,11,4,12,6]
[8,9,10,11,2,12,3,1,4,5,6,7]=>[8,5,7,1,9,2,10,3,11,4,12,6]
[8,9,10,11,2,12,1,3,4,5,6,7]=>[5,7,8,1,9,2,10,3,11,4,12,6]
[8,9,10,11,12,2,3,4,5,6,1,7]=>[6,7,1,8,2,9,3,11,10,4,12,5]
[8,9,10,11,12,2,3,4,5,1,6,7]=>[6,7,1,8,2,10,9,3,11,4,12,5]
[8,9,10,11,12,2,3,4,1,5,6,7]=>[6,7,1,9,8,2,10,3,11,4,12,5]
[8,9,10,11,12,2,3,1,4,5,6,7]=>[6,8,7,1,9,2,10,3,11,4,12,5]
[8,9,10,11,12,2,1,3,4,5,6,7]=>[7,6,8,1,9,2,10,3,11,4,12,5]
[11,2,3,4,5,6,7,8,9,10,12,1]=>[2,3,4,5,6,7,8,9,10,1,12,11]
[11,12,9,10,7,8,5,6,3,1,4,2]=>[12,10,9,7,5,3,1,11,8,6,4,2]
[11,12,9,10,7,8,5,3,6,4,1,2]=>[8,11,7,5,3,1,12,10,9,6,4,2]
[11,12,9,10,7,8,5,3,6,1,4,2]=>[8,12,10,7,5,3,1,11,9,6,4,2]
[11,12,9,10,7,8,5,3,1,6,4,2]=>[8,12,11,9,7,5,3,1,10,6,4,2]
[11,12,9,10,7,5,8,6,3,4,1,2]=>[6,11,9,5,3,1,12,10,8,7,4,2]
[11,12,9,10,7,5,8,6,3,1,4,2]=>[6,12,10,9,5,3,1,11,8,7,4,2]
[11,12,9,10,7,5,8,3,6,4,1,2]=>[8,6,11,5,3,1,12,10,9,7,4,2]
[11,12,9,10,7,5,8,3,6,1,4,2]=>[8,6,12,10,5,3,1,11,9,7,4,2]
[11,12,9,10,7,5,8,3,1,6,4,2]=>[8,6,12,11,9,5,3,1,10,7,4,2]
[11,12,9,10,7,5,3,8,6,4,1,2]=>[11,6,12,7,5,3,1,10,9,8,4,2]
[11,12,9,10,7,5,3,8,6,1,4,2]=>[12,7,6,10,5,3,1,11,9,8,4,2]
[11,12,9,10,7,5,3,8,1,6,4,2]=>[12,7,6,11,9,5,3,1,10,8,4,2]
[11,12,9,10,7,5,3,1,8,6,4,2]=>[12,7,6,11,10,8,5,3,1,9,4,2]
[11,12,9,7,10,8,5,6,3,4,1,2]=>[4,11,9,7,3,1,12,10,8,6,5,2]
[11,12,9,7,10,8,5,6,3,1,4,2]=>[4,12,10,9,7,3,1,11,8,6,5,2]
[11,12,9,7,10,8,5,3,6,4,1,2]=>[8,4,11,7,3,1,12,10,9,6,5,2]
[11,12,9,7,10,8,5,3,6,1,4,2]=>[8,4,12,10,7,3,1,11,9,6,5,2]
[11,12,9,7,10,8,5,3,1,6,4,2]=>[8,4,12,11,9,7,3,1,10,6,5,2]
[11,12,9,7,10,5,8,6,3,4,1,2]=>[6,4,11,9,3,1,12,10,8,7,5,2]
[11,12,9,7,10,5,8,6,3,1,4,2]=>[6,4,12,10,9,3,1,11,8,7,5,2]
[11,12,9,7,10,5,8,3,6,4,1,2]=>[8,6,4,11,3,1,12,10,9,7,5,2]
[11,12,9,7,10,5,8,3,6,1,4,2]=>[8,6,4,12,10,3,1,11,9,7,5,2]
[11,12,9,7,10,5,8,3,1,6,4,2]=>[8,6,4,12,11,9,3,1,10,7,5,2]
[11,12,9,7,10,5,3,8,6,4,1,2]=>[11,6,4,12,7,3,1,10,9,8,5,2]
[11,12,9,7,10,5,3,8,6,1,4,2]=>[12,7,6,4,10,3,1,11,9,8,5,2]
[11,12,9,7,10,5,3,8,1,6,4,2]=>[12,7,6,4,11,9,3,1,10,8,5,2]
[11,12,9,7,10,5,3,1,8,6,4,2]=>[12,7,6,4,11,10,8,3,1,9,5,2]
[11,12,9,7,5,10,8,6,3,4,1,2]=>[11,5,4,9,3,1,12,10,8,7,6,2]
[11,12,9,7,5,10,8,6,3,1,4,2]=>[12,5,4,10,9,3,1,11,8,7,6,2]
[11,12,9,7,5,10,8,3,6,4,1,2]=>[5,8,4,11,3,1,12,10,9,7,6,2]
[11,12,9,7,5,10,8,3,6,1,4,2]=>[5,8,4,12,10,3,1,11,9,7,6,2]
[11,12,9,7,5,10,8,3,1,6,4,2]=>[5,8,4,12,11,9,3,1,10,7,6,2]
[11,12,9,7,5,10,3,8,6,4,1,2]=>[5,11,4,12,7,3,1,10,9,8,6,2]
[11,12,9,7,5,10,3,8,6,1,4,2]=>[5,12,7,4,10,3,1,11,9,8,6,2]
[11,12,9,7,5,10,3,8,1,6,4,2]=>[5,12,7,4,11,9,3,1,10,8,6,2]
[11,12,9,7,5,10,3,1,8,6,4,2]=>[5,12,7,4,11,10,8,3,1,9,6,2]
[11,12,9,7,5,3,10,8,6,4,1,2]=>[5,11,4,12,10,6,3,1,9,8,7,2]
[11,12,9,7,5,3,10,8,6,1,4,2]=>[5,12,10,4,11,6,3,1,9,8,7,2]
[11,12,9,7,5,3,10,8,1,6,4,2]=>[5,12,11,6,4,9,3,1,10,8,7,2]
[11,12,9,7,5,3,10,1,8,6,4,2]=>[5,12,11,6,4,10,8,3,1,9,7,2]
[11,12,9,7,5,3,1,10,8,6,4,2]=>[5,12,11,6,4,10,9,7,3,1,8,2]
[11,9,12,10,7,8,5,6,3,4,1,2]=>[2,11,9,7,5,1,12,10,8,6,4,3]
[11,9,12,10,7,8,5,6,3,1,4,2]=>[2,12,10,9,7,5,1,11,8,6,4,3]
[11,9,12,10,7,8,5,3,6,4,1,2]=>[8,2,11,7,5,1,12,10,9,6,4,3]
[11,9,12,10,7,8,5,3,6,1,4,2]=>[8,2,12,10,7,5,1,11,9,6,4,3]
[11,9,12,10,7,8,5,3,1,6,4,2]=>[8,2,12,11,9,7,5,1,10,6,4,3]
[11,9,12,10,7,5,8,6,3,4,1,2]=>[6,2,11,9,5,1,12,10,8,7,4,3]
[11,9,12,10,7,5,8,6,3,1,4,2]=>[6,2,12,10,9,5,1,11,8,7,4,3]
[11,9,12,10,7,5,8,3,6,4,1,2]=>[8,6,2,11,5,1,12,10,9,7,4,3]
[11,9,12,10,7,5,8,3,6,1,4,2]=>[8,6,2,12,10,5,1,11,9,7,4,3]
[11,9,12,10,7,5,8,3,1,6,4,2]=>[8,6,2,12,11,9,5,1,10,7,4,3]
[11,9,12,10,7,5,3,8,6,4,1,2]=>[11,6,2,12,7,5,1,10,9,8,4,3]
[11,9,12,10,7,5,3,8,6,1,4,2]=>[12,7,6,2,10,5,1,11,9,8,4,3]
[11,9,12,10,7,5,3,8,1,6,4,2]=>[12,7,6,2,11,9,5,1,10,8,4,3]
[11,9,12,10,7,5,3,1,8,6,4,2]=>[12,7,6,2,11,10,8,5,1,9,4,3]
[11,9,12,7,10,8,5,6,3,4,1,2]=>[4,2,11,9,7,1,12,10,8,6,5,3]
[11,9,12,7,10,8,5,6,3,1,4,2]=>[4,2,12,10,9,7,1,11,8,6,5,3]
[11,9,12,7,10,8,5,3,6,4,1,2]=>[8,4,2,11,7,1,12,10,9,6,5,3]
[11,9,12,7,10,8,5,3,6,1,4,2]=>[8,4,2,12,10,7,1,11,9,6,5,3]
[11,9,12,7,10,8,5,3,1,6,4,2]=>[8,4,2,12,11,9,7,1,10,6,5,3]
[11,9,12,7,10,5,8,6,3,4,1,2]=>[6,4,2,11,9,1,12,10,8,7,5,3]
[11,9,12,7,10,5,8,6,3,1,4,2]=>[6,4,2,12,10,9,1,11,8,7,5,3]
[11,9,12,7,10,5,8,3,6,4,1,2]=>[8,6,4,2,11,1,12,10,9,7,5,3]
[11,9,12,7,10,5,8,3,6,1,4,2]=>[8,6,4,2,12,10,1,11,9,7,5,3]
[11,9,12,7,10,5,8,3,1,6,4,2]=>[8,6,4,2,12,11,9,1,10,7,5,3]
[11,9,12,7,10,5,3,8,6,4,1,2]=>[11,6,4,2,12,7,1,10,9,8,5,3]
[11,9,12,7,10,5,3,8,6,1,4,2]=>[12,7,6,4,2,10,1,11,9,8,5,3]
[11,9,12,7,10,5,3,8,1,6,4,2]=>[12,7,6,4,2,11,9,1,10,8,5,3]
[11,9,12,7,10,5,3,1,8,6,4,2]=>[12,7,6,4,2,11,10,8,1,9,5,3]
[11,9,12,7,5,10,8,6,3,4,1,2]=>[11,5,4,2,9,1,12,10,8,7,6,3]
[11,9,12,7,5,10,8,6,3,1,4,2]=>[12,5,4,2,10,9,1,11,8,7,6,3]
[11,9,12,7,5,10,8,3,6,4,1,2]=>[5,8,4,2,11,1,12,10,9,7,6,3]
[11,9,12,7,5,10,8,3,6,1,4,2]=>[5,8,4,2,12,10,1,11,9,7,6,3]
[11,9,12,7,5,10,8,3,1,6,4,2]=>[5,8,4,2,12,11,9,1,10,7,6,3]
[11,9,12,7,5,10,3,8,6,4,1,2]=>[5,11,4,2,12,7,1,10,9,8,6,3]
[11,9,12,7,5,10,3,8,6,1,4,2]=>[5,12,7,4,2,10,1,11,9,8,6,3]
[11,9,12,7,5,10,3,8,1,6,4,2]=>[5,12,7,4,2,11,9,1,10,8,6,3]
[11,9,12,7,5,10,3,1,8,6,4,2]=>[5,12,7,4,2,11,10,8,1,9,6,3]
[11,9,12,7,5,3,10,8,6,4,1,2]=>[5,11,4,2,12,10,6,1,9,8,7,3]
[11,9,12,7,5,3,10,8,6,1,4,2]=>[5,12,10,4,2,11,6,1,9,8,7,3]
[11,9,12,7,5,3,10,8,1,6,4,2]=>[5,12,11,6,4,2,9,1,10,8,7,3]
[11,9,12,7,5,3,10,1,8,6,4,2]=>[5,12,11,6,4,2,10,8,1,9,7,3]
[11,9,12,7,5,3,1,10,8,6,4,2]=>[5,12,11,6,4,2,10,9,7,1,8,3]
[11,9,7,12,10,8,5,6,3,4,1,2]=>[11,3,2,9,7,1,12,10,8,6,5,4]
[11,9,7,12,10,8,5,6,3,1,4,2]=>[12,3,2,10,9,7,1,11,8,6,5,4]
[11,9,7,12,10,8,5,3,6,4,1,2]=>[3,8,2,11,7,1,12,10,9,6,5,4]
[11,9,7,12,10,8,5,3,6,1,4,2]=>[3,8,2,12,10,7,1,11,9,6,5,4]
[11,9,7,12,10,8,5,3,1,6,4,2]=>[3,8,2,12,11,9,7,1,10,6,5,4]
[11,9,7,12,10,5,8,6,3,4,1,2]=>[3,6,2,11,9,1,12,10,8,7,5,4]
[11,9,7,12,10,5,8,6,3,1,4,2]=>[3,6,2,12,10,9,1,11,8,7,5,4]
[11,9,7,12,10,5,8,3,6,4,1,2]=>[3,8,6,2,11,1,12,10,9,7,5,4]
[11,9,7,12,10,5,8,3,6,1,4,2]=>[3,8,6,2,12,10,1,11,9,7,5,4]
[11,9,7,12,10,5,8,3,1,6,4,2]=>[3,8,6,2,12,11,9,1,10,7,5,4]
[11,9,7,12,10,5,3,8,6,4,1,2]=>[3,11,6,2,12,7,1,10,9,8,5,4]
[11,9,7,12,10,5,3,8,6,1,4,2]=>[3,12,7,6,2,10,1,11,9,8,5,4]
[11,9,7,12,10,5,3,8,1,6,4,2]=>[3,12,7,6,2,11,9,1,10,8,5,4]
[11,9,7,12,10,5,3,1,8,6,4,2]=>[3,12,7,6,2,11,10,8,1,9,5,4]
[11,9,7,12,5,10,8,6,3,4,1,2]=>[3,11,5,2,9,1,12,10,8,7,6,4]
[11,9,7,12,5,10,8,6,3,1,4,2]=>[3,12,5,2,10,9,1,11,8,7,6,4]
[11,9,7,12,5,10,8,3,6,4,1,2]=>[5,3,8,2,11,1,12,10,9,7,6,4]
[11,9,7,12,5,10,8,3,6,1,4,2]=>[5,3,8,2,12,10,1,11,9,7,6,4]
[11,9,7,12,5,10,8,3,1,6,4,2]=>[5,3,8,2,12,11,9,1,10,7,6,4]
[11,9,7,12,5,10,3,8,6,4,1,2]=>[5,3,11,2,12,7,1,10,9,8,6,4]
[11,9,7,12,5,10,3,8,6,1,4,2]=>[5,3,12,7,2,10,1,11,9,8,6,4]
[11,9,7,12,5,10,3,8,1,6,4,2]=>[5,3,12,7,2,11,9,1,10,8,6,4]
[11,9,7,12,5,10,3,1,8,6,4,2]=>[5,3,12,7,2,11,10,8,1,9,6,4]
[11,9,7,12,5,3,10,8,6,4,1,2]=>[5,3,11,2,12,10,6,1,9,8,7,4]
[11,9,7,12,5,3,10,8,6,1,4,2]=>[5,3,12,10,2,11,6,1,9,8,7,4]
[11,9,7,12,5,3,10,8,1,6,4,2]=>[5,3,12,11,6,2,9,1,10,8,7,4]
[11,9,7,12,5,3,10,1,8,6,4,2]=>[5,3,12,11,6,2,10,8,1,9,7,4]
[11,9,7,12,5,3,1,10,8,6,4,2]=>[5,3,12,11,6,2,10,9,7,1,8,4]
[11,9,7,5,12,10,8,6,3,4,1,2]=>[3,11,9,2,12,4,1,10,8,7,6,5]
[11,9,7,5,12,10,8,6,3,1,4,2]=>[3,12,10,4,2,9,1,11,8,7,6,5]
[11,9,7,5,12,10,8,3,6,4,1,2]=>[8,3,11,2,12,4,1,10,9,7,6,5]
[11,9,7,5,12,10,8,3,6,1,4,2]=>[8,3,12,4,2,10,1,11,9,7,6,5]
[11,9,7,5,12,10,8,3,1,6,4,2]=>[8,3,12,4,2,11,9,1,10,7,6,5]
[11,9,7,5,12,10,3,8,6,4,1,2]=>[11,3,12,4,2,7,1,10,9,8,6,5]
[11,9,7,5,12,10,3,8,6,1,4,2]=>[12,4,3,7,2,10,1,11,9,8,6,5]
[11,9,7,5,12,10,3,8,1,6,4,2]=>[12,4,3,7,2,11,9,1,10,8,6,5]
[11,9,7,5,12,10,3,1,8,6,4,2]=>[12,4,3,7,2,11,10,8,1,9,6,5]
[11,9,7,5,12,3,10,8,6,4,1,2]=>[11,3,12,4,2,10,6,1,9,8,7,5]
[11,9,7,5,12,3,10,8,6,1,4,2]=>[12,4,3,10,2,11,6,1,9,8,7,5]
[11,9,7,5,12,3,10,8,1,6,4,2]=>[12,4,3,11,6,2,9,1,10,8,7,5]
[11,9,7,5,12,3,10,1,8,6,4,2]=>[12,4,3,11,6,2,10,8,1,9,7,5]
[11,9,7,5,12,3,1,10,8,6,4,2]=>[12,4,3,11,6,2,10,9,7,1,8,5]
[11,9,7,5,3,12,10,8,6,4,1,2]=>[11,3,12,4,2,10,9,5,1,8,7,6]
[11,9,7,5,3,12,10,8,6,1,4,2]=>[12,4,3,10,2,11,9,5,1,8,7,6]
[11,9,7,5,3,12,10,8,1,6,4,2]=>[12,4,3,11,9,2,10,5,1,8,7,6]
[11,9,7,5,3,12,10,1,8,6,4,2]=>[12,4,3,11,10,5,2,8,1,9,7,6]
[11,9,7,5,3,12,1,10,8,6,4,2]=>[12,4,3,11,10,5,2,9,7,1,8,6]
          

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

Description

Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.

Properties

bijective, graded

Sage code

def mapping(elt):
    from sage.combinat.permutation import from_major_code
    return from_major_code(elt.to_lehmer_code())

Weight

Created

Jan 26, 2020 at 12:31 by FindStatCrew

Updated

Jan 26, 2020 at 12:31 by Martin Rubey