- FindStat

edit this map or download as text // json

Identifier

Mp00329: Permutations —Tanimoto⟶ Permutations

Images

=>
            
              
            

            [1]=>[1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[2,1,3]
[2,1,3]=>[1,3,2]
[2,3,1]=>[3,1,2]
[3,1,2]=>[2,3,1]
[3,2,1]=>[3,2,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[2,3,1,4]
[1,3,2,4]=>[1,2,4,3]
[1,3,4,2]=>[2,4,1,3]
[1,4,2,3]=>[2,1,3,4]
[1,4,3,2]=>[2,1,4,3]
[2,1,3,4]=>[1,3,2,4]
[2,1,4,3]=>[3,2,1,4]
[2,3,1,4]=>[1,3,4,2]
[2,3,4,1]=>[3,4,1,2]
[2,4,1,3]=>[3,1,2,4]
[2,4,3,1]=>[3,1,4,2]
[3,1,2,4]=>[1,4,2,3]
[3,1,4,2]=>[4,2,1,3]
[3,2,1,4]=>[1,4,3,2]
[3,2,4,1]=>[4,3,1,2]
[3,4,1,2]=>[4,1,2,3]
[3,4,2,1]=>[4,1,3,2]
[4,1,2,3]=>[2,3,4,1]
[4,1,3,2]=>[2,4,3,1]
[4,2,1,3]=>[3,2,4,1]
[4,2,3,1]=>[3,4,2,1]
[4,3,1,2]=>[4,2,3,1]
[4,3,2,1]=>[4,3,2,1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[2,3,4,1,5]
[1,2,4,3,5]=>[1,2,3,5,4]
[1,2,4,5,3]=>[2,3,5,1,4]
[1,2,5,3,4]=>[2,3,1,4,5]
[1,2,5,4,3]=>[2,3,1,5,4]
[1,3,2,4,5]=>[1,2,4,3,5]
[1,3,2,5,4]=>[2,4,3,1,5]
[1,3,4,2,5]=>[1,2,4,5,3]
[1,3,4,5,2]=>[2,4,5,1,3]
[1,3,5,2,4]=>[2,4,1,3,5]
[1,3,5,4,2]=>[2,4,1,5,3]
[1,4,2,3,5]=>[1,2,5,3,4]
[1,4,2,5,3]=>[2,5,3,1,4]
[1,4,3,2,5]=>[1,2,5,4,3]
[1,4,3,5,2]=>[2,5,4,1,3]
[1,4,5,2,3]=>[2,5,1,3,4]
[1,4,5,3,2]=>[2,5,1,4,3]
[1,5,2,3,4]=>[2,1,3,4,5]
[1,5,2,4,3]=>[2,1,3,5,4]
[1,5,3,2,4]=>[2,1,4,3,5]
[1,5,3,4,2]=>[2,1,4,5,3]
[1,5,4,2,3]=>[2,1,5,3,4]
[1,5,4,3,2]=>[2,1,5,4,3]
[2,1,3,4,5]=>[1,3,2,4,5]
[2,1,3,5,4]=>[3,2,4,1,5]
[2,1,4,3,5]=>[1,3,2,5,4]
[2,1,4,5,3]=>[3,2,5,1,4]
[2,1,5,3,4]=>[3,2,1,4,5]
[2,1,5,4,3]=>[3,2,1,5,4]
[2,3,1,4,5]=>[1,3,4,2,5]
[2,3,1,5,4]=>[3,4,2,1,5]
[2,3,4,1,5]=>[1,3,4,5,2]
[2,3,4,5,1]=>[3,4,5,1,2]
[2,3,5,1,4]=>[3,4,1,2,5]
[2,3,5,4,1]=>[3,4,1,5,2]
[2,4,1,3,5]=>[1,3,5,2,4]
[2,4,1,5,3]=>[3,5,2,1,4]
[2,4,3,1,5]=>[1,3,5,4,2]
[2,4,3,5,1]=>[3,5,4,1,2]
[2,4,5,1,3]=>[3,5,1,2,4]
[2,4,5,3,1]=>[3,5,1,4,2]
[2,5,1,3,4]=>[3,1,2,4,5]
[2,5,1,4,3]=>[3,1,2,5,4]
[2,5,3,1,4]=>[3,1,4,2,5]
[2,5,3,4,1]=>[3,1,4,5,2]
[2,5,4,1,3]=>[3,1,5,2,4]
[2,5,4,3,1]=>[3,1,5,4,2]
[3,1,2,4,5]=>[1,4,2,3,5]
[3,1,2,5,4]=>[4,2,3,1,5]
[3,1,4,2,5]=>[1,4,2,5,3]
[3,1,4,5,2]=>[4,2,5,1,3]
[3,1,5,2,4]=>[4,2,1,3,5]
[3,1,5,4,2]=>[4,2,1,5,3]
[3,2,1,4,5]=>[1,4,3,2,5]
[3,2,1,5,4]=>[4,3,2,1,5]
[3,2,4,1,5]=>[1,4,3,5,2]
[3,2,4,5,1]=>[4,3,5,1,2]
[3,2,5,1,4]=>[4,3,1,2,5]
[3,2,5,4,1]=>[4,3,1,5,2]
[3,4,1,2,5]=>[1,4,5,2,3]
[3,4,1,5,2]=>[4,5,2,1,3]
[3,4,2,1,5]=>[1,4,5,3,2]
[3,4,2,5,1]=>[4,5,3,1,2]
[3,4,5,1,2]=>[4,5,1,2,3]
[3,4,5,2,1]=>[4,5,1,3,2]
[3,5,1,2,4]=>[4,1,2,3,5]
[3,5,1,4,2]=>[4,1,2,5,3]
[3,5,2,1,4]=>[4,1,3,2,5]
[3,5,2,4,1]=>[4,1,3,5,2]
[3,5,4,1,2]=>[4,1,5,2,3]
[3,5,4,2,1]=>[4,1,5,3,2]
[4,1,2,3,5]=>[1,5,2,3,4]
[4,1,2,5,3]=>[5,2,3,1,4]
[4,1,3,2,5]=>[1,5,2,4,3]
[4,1,3,5,2]=>[5,2,4,1,3]
[4,1,5,2,3]=>[5,2,1,3,4]
[4,1,5,3,2]=>[5,2,1,4,3]
[4,2,1,3,5]=>[1,5,3,2,4]
[4,2,1,5,3]=>[5,3,2,1,4]
[4,2,3,1,5]=>[1,5,3,4,2]
[4,2,3,5,1]=>[5,3,4,1,2]
[4,2,5,1,3]=>[5,3,1,2,4]
[4,2,5,3,1]=>[5,3,1,4,2]
[4,3,1,2,5]=>[1,5,4,2,3]
[4,3,1,5,2]=>[5,4,2,1,3]
[4,3,2,1,5]=>[1,5,4,3,2]
[4,3,2,5,1]=>[5,4,3,1,2]
[4,3,5,1,2]=>[5,4,1,2,3]
[4,3,5,2,1]=>[5,4,1,3,2]
[4,5,1,2,3]=>[5,1,2,3,4]
[4,5,1,3,2]=>[5,1,2,4,3]
[4,5,2,1,3]=>[5,1,3,2,4]
[4,5,2,3,1]=>[5,1,3,4,2]
[4,5,3,1,2]=>[5,1,4,2,3]
[4,5,3,2,1]=>[5,1,4,3,2]
[5,1,2,3,4]=>[2,3,4,5,1]
[5,1,2,4,3]=>[2,3,5,4,1]
[5,1,3,2,4]=>[2,4,3,5,1]
[5,1,3,4,2]=>[2,4,5,3,1]
[5,1,4,2,3]=>[2,5,3,4,1]
[5,1,4,3,2]=>[2,5,4,3,1]
[5,2,1,3,4]=>[3,2,4,5,1]
[5,2,1,4,3]=>[3,2,5,4,1]
[5,2,3,1,4]=>[3,4,2,5,1]
[5,2,3,4,1]=>[3,4,5,2,1]
[5,2,4,1,3]=>[3,5,2,4,1]
[5,2,4,3,1]=>[3,5,4,2,1]
[5,3,1,2,4]=>[4,2,3,5,1]
[5,3,1,4,2]=>[4,2,5,3,1]
[5,3,2,1,4]=>[4,3,2,5,1]
[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,4,1,2]=>[4,5,2,3,1]
[5,3,4,2,1]=>[4,5,3,2,1]
[5,4,1,2,3]=>[5,2,3,4,1]
[5,4,1,3,2]=>[5,2,4,3,1]
[5,4,2,1,3]=>[5,3,2,4,1]
[5,4,2,3,1]=>[5,3,4,2,1]
[5,4,3,1,2]=>[5,4,2,3,1]
[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]=>[2,3,4,5,1,6]
[1,2,3,5,4,6]=>[1,2,3,4,6,5]
[1,2,3,5,6,4]=>[2,3,4,6,1,5]
[1,2,3,6,4,5]=>[2,3,4,1,5,6]
[1,2,3,6,5,4]=>[2,3,4,1,6,5]
[1,2,4,3,5,6]=>[1,2,3,5,4,6]
[1,2,4,3,6,5]=>[2,3,5,4,1,6]
[1,2,4,5,3,6]=>[1,2,3,5,6,4]
[1,2,4,5,6,3]=>[2,3,5,6,1,4]
[1,2,4,6,3,5]=>[2,3,5,1,4,6]
[1,2,4,6,5,3]=>[2,3,5,1,6,4]
[1,2,5,3,4,6]=>[1,2,3,6,4,5]
[1,2,5,3,6,4]=>[2,3,6,4,1,5]
[1,2,5,4,3,6]=>[1,2,3,6,5,4]
[1,2,5,4,6,3]=>[2,3,6,5,1,4]
[1,2,5,6,3,4]=>[2,3,6,1,4,5]
[1,2,5,6,4,3]=>[2,3,6,1,5,4]
[1,2,6,3,4,5]=>[2,3,1,4,5,6]
[1,2,6,3,5,4]=>[2,3,1,4,6,5]
[1,2,6,4,3,5]=>[2,3,1,5,4,6]
[1,2,6,4,5,3]=>[2,3,1,5,6,4]
[1,2,6,5,3,4]=>[2,3,1,6,4,5]
[1,2,6,5,4,3]=>[2,3,1,6,5,4]
[1,3,2,4,5,6]=>[1,2,4,3,5,6]
[1,3,2,4,6,5]=>[2,4,3,5,1,6]
[1,3,2,5,4,6]=>[1,2,4,3,6,5]
[1,3,2,5,6,4]=>[2,4,3,6,1,5]
[1,3,2,6,4,5]=>[2,4,3,1,5,6]
[1,3,2,6,5,4]=>[2,4,3,1,6,5]
[1,3,4,2,5,6]=>[1,2,4,5,3,6]
[1,3,4,2,6,5]=>[2,4,5,3,1,6]
[1,3,4,5,2,6]=>[1,2,4,5,6,3]
[1,3,4,5,6,2]=>[2,4,5,6,1,3]
[1,3,4,6,2,5]=>[2,4,5,1,3,6]
[1,3,4,6,5,2]=>[2,4,5,1,6,3]
[1,3,5,2,4,6]=>[1,2,4,6,3,5]
[1,3,5,2,6,4]=>[2,4,6,3,1,5]
[1,3,5,4,2,6]=>[1,2,4,6,5,3]
[1,3,5,4,6,2]=>[2,4,6,5,1,3]
[1,3,5,6,2,4]=>[2,4,6,1,3,5]
[1,3,5,6,4,2]=>[2,4,6,1,5,3]
[1,3,6,2,4,5]=>[2,4,1,3,5,6]
[1,3,6,2,5,4]=>[2,4,1,3,6,5]
[1,3,6,4,2,5]=>[2,4,1,5,3,6]
[1,3,6,4,5,2]=>[2,4,1,5,6,3]
[1,3,6,5,2,4]=>[2,4,1,6,3,5]
[1,3,6,5,4,2]=>[2,4,1,6,5,3]
[1,4,2,3,5,6]=>[1,2,5,3,4,6]
[1,4,2,3,6,5]=>[2,5,3,4,1,6]
[1,4,2,5,3,6]=>[1,2,5,3,6,4]
[1,4,2,5,6,3]=>[2,5,3,6,1,4]
[1,4,2,6,3,5]=>[2,5,3,1,4,6]
[1,4,2,6,5,3]=>[2,5,3,1,6,4]
[1,4,3,2,5,6]=>[1,2,5,4,3,6]
[1,4,3,2,6,5]=>[2,5,4,3,1,6]
[1,4,3,5,2,6]=>[1,2,5,4,6,3]
[1,4,3,5,6,2]=>[2,5,4,6,1,3]
[1,4,3,6,2,5]=>[2,5,4,1,3,6]
[1,4,3,6,5,2]=>[2,5,4,1,6,3]
[1,4,5,2,3,6]=>[1,2,5,6,3,4]
[1,4,5,2,6,3]=>[2,5,6,3,1,4]
[1,4,5,3,2,6]=>[1,2,5,6,4,3]
[1,4,5,3,6,2]=>[2,5,6,4,1,3]
[1,4,5,6,2,3]=>[2,5,6,1,3,4]
[1,4,5,6,3,2]=>[2,5,6,1,4,3]
[1,4,6,2,3,5]=>[2,5,1,3,4,6]
[1,4,6,2,5,3]=>[2,5,1,3,6,4]
[1,4,6,3,2,5]=>[2,5,1,4,3,6]
[1,4,6,3,5,2]=>[2,5,1,4,6,3]
[1,4,6,5,2,3]=>[2,5,1,6,3,4]
[1,4,6,5,3,2]=>[2,5,1,6,4,3]
[1,5,2,3,4,6]=>[1,2,6,3,4,5]
[1,5,2,3,6,4]=>[2,6,3,4,1,5]
[1,5,2,4,3,6]=>[1,2,6,3,5,4]
[1,5,2,4,6,3]=>[2,6,3,5,1,4]
[1,5,2,6,3,4]=>[2,6,3,1,4,5]
[1,5,2,6,4,3]=>[2,6,3,1,5,4]
[1,5,3,2,4,6]=>[1,2,6,4,3,5]
[1,5,3,2,6,4]=>[2,6,4,3,1,5]
[1,5,3,4,2,6]=>[1,2,6,4,5,3]
[1,5,3,4,6,2]=>[2,6,4,5,1,3]
[1,5,3,6,2,4]=>[2,6,4,1,3,5]
[1,5,3,6,4,2]=>[2,6,4,1,5,3]
[1,5,4,2,3,6]=>[1,2,6,5,3,4]
[1,5,4,2,6,3]=>[2,6,5,3,1,4]
[1,5,4,3,2,6]=>[1,2,6,5,4,3]
[1,5,4,3,6,2]=>[2,6,5,4,1,3]
[1,5,4,6,2,3]=>[2,6,5,1,3,4]
[1,5,4,6,3,2]=>[2,6,5,1,4,3]
[1,5,6,2,3,4]=>[2,6,1,3,4,5]
[1,5,6,2,4,3]=>[2,6,1,3,5,4]
[1,5,6,3,2,4]=>[2,6,1,4,3,5]
[1,5,6,3,4,2]=>[2,6,1,4,5,3]
[1,5,6,4,2,3]=>[2,6,1,5,3,4]
[1,5,6,4,3,2]=>[2,6,1,5,4,3]
[1,6,2,3,4,5]=>[2,1,3,4,5,6]
[1,6,2,3,5,4]=>[2,1,3,4,6,5]
[1,6,2,4,3,5]=>[2,1,3,5,4,6]
[1,6,2,4,5,3]=>[2,1,3,5,6,4]
[1,6,2,5,3,4]=>[2,1,3,6,4,5]
[1,6,2,5,4,3]=>[2,1,3,6,5,4]
[1,6,3,2,4,5]=>[2,1,4,3,5,6]
[1,6,3,2,5,4]=>[2,1,4,3,6,5]
[1,6,3,4,2,5]=>[2,1,4,5,3,6]
[1,6,3,4,5,2]=>[2,1,4,5,6,3]
[1,6,3,5,2,4]=>[2,1,4,6,3,5]
[1,6,3,5,4,2]=>[2,1,4,6,5,3]
[1,6,4,2,3,5]=>[2,1,5,3,4,6]
[1,6,4,2,5,3]=>[2,1,5,3,6,4]
[1,6,4,3,2,5]=>[2,1,5,4,3,6]
[1,6,4,3,5,2]=>[2,1,5,4,6,3]
[1,6,4,5,2,3]=>[2,1,5,6,3,4]
[1,6,4,5,3,2]=>[2,1,5,6,4,3]
[1,6,5,2,3,4]=>[2,1,6,3,4,5]
[1,6,5,2,4,3]=>[2,1,6,3,5,4]
[1,6,5,3,2,4]=>[2,1,6,4,3,5]
[1,6,5,3,4,2]=>[2,1,6,4,5,3]
[1,6,5,4,2,3]=>[2,1,6,5,3,4]
[1,6,5,4,3,2]=>[2,1,6,5,4,3]
[2,1,3,4,5,6]=>[1,3,2,4,5,6]
[2,1,3,4,6,5]=>[3,2,4,5,1,6]
[2,1,3,5,4,6]=>[1,3,2,4,6,5]
[2,1,3,5,6,4]=>[3,2,4,6,1,5]
[2,1,3,6,4,5]=>[3,2,4,1,5,6]
[2,1,3,6,5,4]=>[3,2,4,1,6,5]
[2,1,4,3,5,6]=>[1,3,2,5,4,6]
[2,1,4,3,6,5]=>[3,2,5,4,1,6]
[2,1,4,5,3,6]=>[1,3,2,5,6,4]
[2,1,4,5,6,3]=>[3,2,5,6,1,4]
[2,1,4,6,3,5]=>[3,2,5,1,4,6]
[2,1,4,6,5,3]=>[3,2,5,1,6,4]
[2,1,5,3,4,6]=>[1,3,2,6,4,5]
[2,1,5,3,6,4]=>[3,2,6,4,1,5]
[2,1,5,4,3,6]=>[1,3,2,6,5,4]
[2,1,5,4,6,3]=>[3,2,6,5,1,4]
[2,1,5,6,3,4]=>[3,2,6,1,4,5]
[2,1,5,6,4,3]=>[3,2,6,1,5,4]
[2,1,6,3,4,5]=>[3,2,1,4,5,6]
[2,1,6,3,5,4]=>[3,2,1,4,6,5]
[2,1,6,4,3,5]=>[3,2,1,5,4,6]
[2,1,6,4,5,3]=>[3,2,1,5,6,4]
[2,1,6,5,3,4]=>[3,2,1,6,4,5]
[2,1,6,5,4,3]=>[3,2,1,6,5,4]
[2,3,1,4,5,6]=>[1,3,4,2,5,6]
[2,3,1,4,6,5]=>[3,4,2,5,1,6]
[2,3,1,5,4,6]=>[1,3,4,2,6,5]
[2,3,1,5,6,4]=>[3,4,2,6,1,5]
[2,3,1,6,4,5]=>[3,4,2,1,5,6]
[2,3,1,6,5,4]=>[3,4,2,1,6,5]
[2,3,4,1,5,6]=>[1,3,4,5,2,6]
[2,3,4,1,6,5]=>[3,4,5,2,1,6]
[2,3,4,5,1,6]=>[1,3,4,5,6,2]
[2,3,4,5,6,1]=>[3,4,5,6,1,2]
[2,3,4,6,1,5]=>[3,4,5,1,2,6]
[2,3,4,6,5,1]=>[3,4,5,1,6,2]
[2,3,5,1,4,6]=>[1,3,4,6,2,5]
[2,3,5,1,6,4]=>[3,4,6,2,1,5]
[2,3,5,4,1,6]=>[1,3,4,6,5,2]
[2,3,5,4,6,1]=>[3,4,6,5,1,2]
[2,3,5,6,1,4]=>[3,4,6,1,2,5]
[2,3,5,6,4,1]=>[3,4,6,1,5,2]
[2,3,6,1,4,5]=>[3,4,1,2,5,6]
[2,3,6,1,5,4]=>[3,4,1,2,6,5]
[2,3,6,4,1,5]=>[3,4,1,5,2,6]
[2,3,6,4,5,1]=>[3,4,1,5,6,2]
[2,3,6,5,1,4]=>[3,4,1,6,2,5]
[2,3,6,5,4,1]=>[3,4,1,6,5,2]
[2,4,1,3,5,6]=>[1,3,5,2,4,6]
[2,4,1,3,6,5]=>[3,5,2,4,1,6]
[2,4,1,5,3,6]=>[1,3,5,2,6,4]
[2,4,1,5,6,3]=>[3,5,2,6,1,4]
[2,4,1,6,3,5]=>[3,5,2,1,4,6]
[2,4,1,6,5,3]=>[3,5,2,1,6,4]
[2,4,3,1,5,6]=>[1,3,5,4,2,6]
[2,4,3,1,6,5]=>[3,5,4,2,1,6]
[2,4,3,5,1,6]=>[1,3,5,4,6,2]
[2,4,3,5,6,1]=>[3,5,4,6,1,2]
[2,4,3,6,1,5]=>[3,5,4,1,2,6]
[2,4,3,6,5,1]=>[3,5,4,1,6,2]
[2,4,5,1,3,6]=>[1,3,5,6,2,4]
[2,4,5,1,6,3]=>[3,5,6,2,1,4]
[2,4,5,3,1,6]=>[1,3,5,6,4,2]
[2,4,5,3,6,1]=>[3,5,6,4,1,2]
[2,4,5,6,1,3]=>[3,5,6,1,2,4]
[2,4,5,6,3,1]=>[3,5,6,1,4,2]
[2,4,6,1,3,5]=>[3,5,1,2,4,6]
[2,4,6,1,5,3]=>[3,5,1,2,6,4]
[2,4,6,3,1,5]=>[3,5,1,4,2,6]
[2,4,6,3,5,1]=>[3,5,1,4,6,2]
[2,4,6,5,1,3]=>[3,5,1,6,2,4]
[2,4,6,5,3,1]=>[3,5,1,6,4,2]
[2,5,1,3,4,6]=>[1,3,6,2,4,5]
[2,5,1,3,6,4]=>[3,6,2,4,1,5]
[2,5,1,4,3,6]=>[1,3,6,2,5,4]
[2,5,1,4,6,3]=>[3,6,2,5,1,4]
[2,5,1,6,3,4]=>[3,6,2,1,4,5]
[2,5,1,6,4,3]=>[3,6,2,1,5,4]
[2,5,3,1,4,6]=>[1,3,6,4,2,5]
[2,5,3,1,6,4]=>[3,6,4,2,1,5]
[2,5,3,4,1,6]=>[1,3,6,4,5,2]
[2,5,3,4,6,1]=>[3,6,4,5,1,2]
[2,5,3,6,1,4]=>[3,6,4,1,2,5]
[2,5,3,6,4,1]=>[3,6,4,1,5,2]
[2,5,4,1,3,6]=>[1,3,6,5,2,4]
[2,5,4,1,6,3]=>[3,6,5,2,1,4]
[2,5,4,3,1,6]=>[1,3,6,5,4,2]
[2,5,4,3,6,1]=>[3,6,5,4,1,2]
[2,5,4,6,1,3]=>[3,6,5,1,2,4]
[2,5,4,6,3,1]=>[3,6,5,1,4,2]
[2,5,6,1,3,4]=>[3,6,1,2,4,5]
[2,5,6,1,4,3]=>[3,6,1,2,5,4]
[2,5,6,3,1,4]=>[3,6,1,4,2,5]
[2,5,6,3,4,1]=>[3,6,1,4,5,2]
[2,5,6,4,1,3]=>[3,6,1,5,2,4]
[2,5,6,4,3,1]=>[3,6,1,5,4,2]
[2,6,1,3,4,5]=>[3,1,2,4,5,6]
[2,6,1,3,5,4]=>[3,1,2,4,6,5]
[2,6,1,4,3,5]=>[3,1,2,5,4,6]
[2,6,1,4,5,3]=>[3,1,2,5,6,4]
[2,6,1,5,3,4]=>[3,1,2,6,4,5]
[2,6,1,5,4,3]=>[3,1,2,6,5,4]
[2,6,3,1,4,5]=>[3,1,4,2,5,6]
[2,6,3,1,5,4]=>[3,1,4,2,6,5]
[2,6,3,4,1,5]=>[3,1,4,5,2,6]
[2,6,3,4,5,1]=>[3,1,4,5,6,2]
[2,6,3,5,1,4]=>[3,1,4,6,2,5]
[2,6,3,5,4,1]=>[3,1,4,6,5,2]
[2,6,4,1,3,5]=>[3,1,5,2,4,6]
[2,6,4,1,5,3]=>[3,1,5,2,6,4]
[2,6,4,3,1,5]=>[3,1,5,4,2,6]
[2,6,4,3,5,1]=>[3,1,5,4,6,2]
[2,6,4,5,1,3]=>[3,1,5,6,2,4]
[2,6,4,5,3,1]=>[3,1,5,6,4,2]
[2,6,5,1,3,4]=>[3,1,6,2,4,5]
[2,6,5,1,4,3]=>[3,1,6,2,5,4]
[2,6,5,3,1,4]=>[3,1,6,4,2,5]
[2,6,5,3,4,1]=>[3,1,6,4,5,2]
[2,6,5,4,1,3]=>[3,1,6,5,2,4]
[2,6,5,4,3,1]=>[3,1,6,5,4,2]
[3,1,2,4,5,6]=>[1,4,2,3,5,6]
[3,1,2,4,6,5]=>[4,2,3,5,1,6]
[3,1,2,5,4,6]=>[1,4,2,3,6,5]
[3,1,2,5,6,4]=>[4,2,3,6,1,5]
[3,1,2,6,4,5]=>[4,2,3,1,5,6]
[3,1,2,6,5,4]=>[4,2,3,1,6,5]
[3,1,4,2,5,6]=>[1,4,2,5,3,6]
[3,1,4,2,6,5]=>[4,2,5,3,1,6]
[3,1,4,5,2,6]=>[1,4,2,5,6,3]
[3,1,4,5,6,2]=>[4,2,5,6,1,3]
[3,1,4,6,2,5]=>[4,2,5,1,3,6]
[3,1,4,6,5,2]=>[4,2,5,1,6,3]
[3,1,5,2,4,6]=>[1,4,2,6,3,5]
[3,1,5,2,6,4]=>[4,2,6,3,1,5]
[3,1,5,4,2,6]=>[1,4,2,6,5,3]
[3,1,5,4,6,2]=>[4,2,6,5,1,3]
[3,1,5,6,2,4]=>[4,2,6,1,3,5]
[3,1,5,6,4,2]=>[4,2,6,1,5,3]
[3,1,6,2,4,5]=>[4,2,1,3,5,6]
[3,1,6,2,5,4]=>[4,2,1,3,6,5]
[3,1,6,4,2,5]=>[4,2,1,5,3,6]
[3,1,6,4,5,2]=>[4,2,1,5,6,3]
[3,1,6,5,2,4]=>[4,2,1,6,3,5]
[3,1,6,5,4,2]=>[4,2,1,6,5,3]
[3,2,1,4,5,6]=>[1,4,3,2,5,6]
[3,2,1,4,6,5]=>[4,3,2,5,1,6]
[3,2,1,5,4,6]=>[1,4,3,2,6,5]
[3,2,1,5,6,4]=>[4,3,2,6,1,5]
[3,2,1,6,4,5]=>[4,3,2,1,5,6]
[3,2,1,6,5,4]=>[4,3,2,1,6,5]
[3,2,4,1,5,6]=>[1,4,3,5,2,6]
[3,2,4,1,6,5]=>[4,3,5,2,1,6]
[3,2,4,5,1,6]=>[1,4,3,5,6,2]
[3,2,4,5,6,1]=>[4,3,5,6,1,2]
[3,2,4,6,1,5]=>[4,3,5,1,2,6]
[3,2,4,6,5,1]=>[4,3,5,1,6,2]
[3,2,5,1,4,6]=>[1,4,3,6,2,5]
[3,2,5,1,6,4]=>[4,3,6,2,1,5]
[3,2,5,4,1,6]=>[1,4,3,6,5,2]
[3,2,5,4,6,1]=>[4,3,6,5,1,2]
[3,2,5,6,1,4]=>[4,3,6,1,2,5]
[3,2,5,6,4,1]=>[4,3,6,1,5,2]
[3,2,6,1,4,5]=>[4,3,1,2,5,6]
[3,2,6,1,5,4]=>[4,3,1,2,6,5]
[3,2,6,4,1,5]=>[4,3,1,5,2,6]
[3,2,6,4,5,1]=>[4,3,1,5,6,2]
[3,2,6,5,1,4]=>[4,3,1,6,2,5]
[3,2,6,5,4,1]=>[4,3,1,6,5,2]
[3,4,1,2,5,6]=>[1,4,5,2,3,6]
[3,4,1,2,6,5]=>[4,5,2,3,1,6]
[3,4,1,5,2,6]=>[1,4,5,2,6,3]
[3,4,1,5,6,2]=>[4,5,2,6,1,3]
[3,4,1,6,2,5]=>[4,5,2,1,3,6]
[3,4,1,6,5,2]=>[4,5,2,1,6,3]
[3,4,2,1,5,6]=>[1,4,5,3,2,6]
[3,4,2,1,6,5]=>[4,5,3,2,1,6]
[3,4,2,5,1,6]=>[1,4,5,3,6,2]
[3,4,2,5,6,1]=>[4,5,3,6,1,2]
[3,4,2,6,1,5]=>[4,5,3,1,2,6]
[3,4,2,6,5,1]=>[4,5,3,1,6,2]
[3,4,5,1,2,6]=>[1,4,5,6,2,3]
[3,4,5,1,6,2]=>[4,5,6,2,1,3]
[3,4,5,2,1,6]=>[1,4,5,6,3,2]
[3,4,5,2,6,1]=>[4,5,6,3,1,2]
[3,4,5,6,1,2]=>[4,5,6,1,2,3]
[3,4,5,6,2,1]=>[4,5,6,1,3,2]
[3,4,6,1,2,5]=>[4,5,1,2,3,6]
[3,4,6,1,5,2]=>[4,5,1,2,6,3]
[3,4,6,2,1,5]=>[4,5,1,3,2,6]
[3,4,6,2,5,1]=>[4,5,1,3,6,2]
[3,4,6,5,1,2]=>[4,5,1,6,2,3]
[3,4,6,5,2,1]=>[4,5,1,6,3,2]
[3,5,1,2,4,6]=>[1,4,6,2,3,5]
[3,5,1,2,6,4]=>[4,6,2,3,1,5]
[3,5,1,4,2,6]=>[1,4,6,2,5,3]
[3,5,1,4,6,2]=>[4,6,2,5,1,3]
[3,5,1,6,2,4]=>[4,6,2,1,3,5]
[3,5,1,6,4,2]=>[4,6,2,1,5,3]
[3,5,2,1,4,6]=>[1,4,6,3,2,5]
[3,5,2,1,6,4]=>[4,6,3,2,1,5]
[3,5,2,4,1,6]=>[1,4,6,3,5,2]
[3,5,2,4,6,1]=>[4,6,3,5,1,2]
[3,5,2,6,1,4]=>[4,6,3,1,2,5]
[3,5,2,6,4,1]=>[4,6,3,1,5,2]
[3,5,4,1,2,6]=>[1,4,6,5,2,3]
[3,5,4,1,6,2]=>[4,6,5,2,1,3]
[3,5,4,2,1,6]=>[1,4,6,5,3,2]
[3,5,4,2,6,1]=>[4,6,5,3,1,2]
[3,5,4,6,1,2]=>[4,6,5,1,2,3]
[3,5,4,6,2,1]=>[4,6,5,1,3,2]
[3,5,6,1,2,4]=>[4,6,1,2,3,5]
[3,5,6,1,4,2]=>[4,6,1,2,5,3]
[3,5,6,2,1,4]=>[4,6,1,3,2,5]
[3,5,6,2,4,1]=>[4,6,1,3,5,2]
[3,5,6,4,1,2]=>[4,6,1,5,2,3]
[3,5,6,4,2,1]=>[4,6,1,5,3,2]
[3,6,1,2,4,5]=>[4,1,2,3,5,6]
[3,6,1,2,5,4]=>[4,1,2,3,6,5]
[3,6,1,4,2,5]=>[4,1,2,5,3,6]
[3,6,1,4,5,2]=>[4,1,2,5,6,3]
[3,6,1,5,2,4]=>[4,1,2,6,3,5]
[3,6,1,5,4,2]=>[4,1,2,6,5,3]
[3,6,2,1,4,5]=>[4,1,3,2,5,6]
[3,6,2,1,5,4]=>[4,1,3,2,6,5]
[3,6,2,4,1,5]=>[4,1,3,5,2,6]
[3,6,2,4,5,1]=>[4,1,3,5,6,2]
[3,6,2,5,1,4]=>[4,1,3,6,2,5]
[3,6,2,5,4,1]=>[4,1,3,6,5,2]
[3,6,4,1,2,5]=>[4,1,5,2,3,6]
[3,6,4,1,5,2]=>[4,1,5,2,6,3]
[3,6,4,2,1,5]=>[4,1,5,3,2,6]
[3,6,4,2,5,1]=>[4,1,5,3,6,2]
[3,6,4,5,1,2]=>[4,1,5,6,2,3]
[3,6,4,5,2,1]=>[4,1,5,6,3,2]
[3,6,5,1,2,4]=>[4,1,6,2,3,5]
[3,6,5,1,4,2]=>[4,1,6,2,5,3]
[3,6,5,2,1,4]=>[4,1,6,3,2,5]
[3,6,5,2,4,1]=>[4,1,6,3,5,2]
[3,6,5,4,1,2]=>[4,1,6,5,2,3]
[3,6,5,4,2,1]=>[4,1,6,5,3,2]
[4,1,2,3,5,6]=>[1,5,2,3,4,6]
[4,1,2,3,6,5]=>[5,2,3,4,1,6]
[4,1,2,5,3,6]=>[1,5,2,3,6,4]
[4,1,2,5,6,3]=>[5,2,3,6,1,4]
[4,1,2,6,3,5]=>[5,2,3,1,4,6]
[4,1,2,6,5,3]=>[5,2,3,1,6,4]
[4,1,3,2,5,6]=>[1,5,2,4,3,6]
[4,1,3,2,6,5]=>[5,2,4,3,1,6]
[4,1,3,5,2,6]=>[1,5,2,4,6,3]
[4,1,3,5,6,2]=>[5,2,4,6,1,3]
[4,1,3,6,2,5]=>[5,2,4,1,3,6]
[4,1,3,6,5,2]=>[5,2,4,1,6,3]
[4,1,5,2,3,6]=>[1,5,2,6,3,4]
[4,1,5,2,6,3]=>[5,2,6,3,1,4]
[4,1,5,3,2,6]=>[1,5,2,6,4,3]
[4,1,5,3,6,2]=>[5,2,6,4,1,3]
[4,1,5,6,2,3]=>[5,2,6,1,3,4]
[4,1,5,6,3,2]=>[5,2,6,1,4,3]
[4,1,6,2,3,5]=>[5,2,1,3,4,6]
[4,1,6,2,5,3]=>[5,2,1,3,6,4]
[4,1,6,3,2,5]=>[5,2,1,4,3,6]
[4,1,6,3,5,2]=>[5,2,1,4,6,3]
[4,1,6,5,2,3]=>[5,2,1,6,3,4]
[4,1,6,5,3,2]=>[5,2,1,6,4,3]
[4,2,1,3,5,6]=>[1,5,3,2,4,6]
[4,2,1,3,6,5]=>[5,3,2,4,1,6]
[4,2,1,5,3,6]=>[1,5,3,2,6,4]
[4,2,1,5,6,3]=>[5,3,2,6,1,4]
[4,2,1,6,3,5]=>[5,3,2,1,4,6]
[4,2,1,6,5,3]=>[5,3,2,1,6,4]
[4,2,3,1,5,6]=>[1,5,3,4,2,6]
[4,2,3,1,6,5]=>[5,3,4,2,1,6]
[4,2,3,5,1,6]=>[1,5,3,4,6,2]
[4,2,3,5,6,1]=>[5,3,4,6,1,2]
[4,2,3,6,1,5]=>[5,3,4,1,2,6]
[4,2,3,6,5,1]=>[5,3,4,1,6,2]
[4,2,5,1,3,6]=>[1,5,3,6,2,4]
[4,2,5,1,6,3]=>[5,3,6,2,1,4]
[4,2,5,3,1,6]=>[1,5,3,6,4,2]
[4,2,5,3,6,1]=>[5,3,6,4,1,2]
[4,2,5,6,1,3]=>[5,3,6,1,2,4]
[4,2,5,6,3,1]=>[5,3,6,1,4,2]
[4,2,6,1,3,5]=>[5,3,1,2,4,6]
[4,2,6,1,5,3]=>[5,3,1,2,6,4]
[4,2,6,3,1,5]=>[5,3,1,4,2,6]
[4,2,6,3,5,1]=>[5,3,1,4,6,2]
[4,2,6,5,1,3]=>[5,3,1,6,2,4]
[4,2,6,5,3,1]=>[5,3,1,6,4,2]
[4,3,1,2,5,6]=>[1,5,4,2,3,6]
[4,3,1,2,6,5]=>[5,4,2,3,1,6]
[4,3,1,5,2,6]=>[1,5,4,2,6,3]
[4,3,1,5,6,2]=>[5,4,2,6,1,3]
[4,3,1,6,2,5]=>[5,4,2,1,3,6]
[4,3,1,6,5,2]=>[5,4,2,1,6,3]
[4,3,2,1,5,6]=>[1,5,4,3,2,6]
[4,3,2,1,6,5]=>[5,4,3,2,1,6]
[4,3,2,5,1,6]=>[1,5,4,3,6,2]
[4,3,2,5,6,1]=>[5,4,3,6,1,2]
[4,3,2,6,1,5]=>[5,4,3,1,2,6]
[4,3,2,6,5,1]=>[5,4,3,1,6,2]
[4,3,5,1,2,6]=>[1,5,4,6,2,3]
[4,3,5,1,6,2]=>[5,4,6,2,1,3]
[4,3,5,2,1,6]=>[1,5,4,6,3,2]
[4,3,5,2,6,1]=>[5,4,6,3,1,2]
[4,3,5,6,1,2]=>[5,4,6,1,2,3]
[4,3,5,6,2,1]=>[5,4,6,1,3,2]
[4,3,6,1,2,5]=>[5,4,1,2,3,6]
[4,3,6,1,5,2]=>[5,4,1,2,6,3]
[4,3,6,2,1,5]=>[5,4,1,3,2,6]
[4,3,6,2,5,1]=>[5,4,1,3,6,2]
[4,3,6,5,1,2]=>[5,4,1,6,2,3]
[4,3,6,5,2,1]=>[5,4,1,6,3,2]
[4,5,1,2,3,6]=>[1,5,6,2,3,4]
[4,5,1,2,6,3]=>[5,6,2,3,1,4]
[4,5,1,3,2,6]=>[1,5,6,2,4,3]
[4,5,1,3,6,2]=>[5,6,2,4,1,3]
[4,5,1,6,2,3]=>[5,6,2,1,3,4]
[4,5,1,6,3,2]=>[5,6,2,1,4,3]
[4,5,2,1,3,6]=>[1,5,6,3,2,4]
[4,5,2,1,6,3]=>[5,6,3,2,1,4]
[4,5,2,3,1,6]=>[1,5,6,3,4,2]
[4,5,2,3,6,1]=>[5,6,3,4,1,2]
[4,5,2,6,1,3]=>[5,6,3,1,2,4]
[4,5,2,6,3,1]=>[5,6,3,1,4,2]
[4,5,3,1,2,6]=>[1,5,6,4,2,3]
[4,5,3,1,6,2]=>[5,6,4,2,1,3]
[4,5,3,2,1,6]=>[1,5,6,4,3,2]
[4,5,3,2,6,1]=>[5,6,4,3,1,2]
[4,5,3,6,1,2]=>[5,6,4,1,2,3]
[4,5,3,6,2,1]=>[5,6,4,1,3,2]
[4,5,6,1,2,3]=>[5,6,1,2,3,4]
[4,5,6,1,3,2]=>[5,6,1,2,4,3]
[4,5,6,2,1,3]=>[5,6,1,3,2,4]
[4,5,6,2,3,1]=>[5,6,1,3,4,2]
[4,5,6,3,1,2]=>[5,6,1,4,2,3]
[4,5,6,3,2,1]=>[5,6,1,4,3,2]
[4,6,1,2,3,5]=>[5,1,2,3,4,6]
[4,6,1,2,5,3]=>[5,1,2,3,6,4]
[4,6,1,3,2,5]=>[5,1,2,4,3,6]
[4,6,1,3,5,2]=>[5,1,2,4,6,3]
[4,6,1,5,2,3]=>[5,1,2,6,3,4]
[4,6,1,5,3,2]=>[5,1,2,6,4,3]
[4,6,2,1,3,5]=>[5,1,3,2,4,6]
[4,6,2,1,5,3]=>[5,1,3,2,6,4]
[4,6,2,3,1,5]=>[5,1,3,4,2,6]
[4,6,2,3,5,1]=>[5,1,3,4,6,2]
[4,6,2,5,1,3]=>[5,1,3,6,2,4]
[4,6,2,5,3,1]=>[5,1,3,6,4,2]
[4,6,3,1,2,5]=>[5,1,4,2,3,6]
[4,6,3,1,5,2]=>[5,1,4,2,6,3]
[4,6,3,2,1,5]=>[5,1,4,3,2,6]
[4,6,3,2,5,1]=>[5,1,4,3,6,2]
[4,6,3,5,1,2]=>[5,1,4,6,2,3]
[4,6,3,5,2,1]=>[5,1,4,6,3,2]
[4,6,5,1,2,3]=>[5,1,6,2,3,4]
[4,6,5,1,3,2]=>[5,1,6,2,4,3]
[4,6,5,2,1,3]=>[5,1,6,3,2,4]
[4,6,5,2,3,1]=>[5,1,6,3,4,2]
[4,6,5,3,1,2]=>[5,1,6,4,2,3]
[4,6,5,3,2,1]=>[5,1,6,4,3,2]
[5,1,2,3,4,6]=>[1,6,2,3,4,5]
[5,1,2,3,6,4]=>[6,2,3,4,1,5]
[5,1,2,4,3,6]=>[1,6,2,3,5,4]
[5,1,2,4,6,3]=>[6,2,3,5,1,4]
[5,1,2,6,3,4]=>[6,2,3,1,4,5]
[5,1,2,6,4,3]=>[6,2,3,1,5,4]
[5,1,3,2,4,6]=>[1,6,2,4,3,5]
[5,1,3,2,6,4]=>[6,2,4,3,1,5]
[5,1,3,4,2,6]=>[1,6,2,4,5,3]
[5,1,3,4,6,2]=>[6,2,4,5,1,3]
[5,1,3,6,2,4]=>[6,2,4,1,3,5]
[5,1,3,6,4,2]=>[6,2,4,1,5,3]
[5,1,4,2,3,6]=>[1,6,2,5,3,4]
[5,1,4,2,6,3]=>[6,2,5,3,1,4]
[5,1,4,3,2,6]=>[1,6,2,5,4,3]
[5,1,4,3,6,2]=>[6,2,5,4,1,3]
[5,1,4,6,2,3]=>[6,2,5,1,3,4]
[5,1,4,6,3,2]=>[6,2,5,1,4,3]
[5,1,6,2,3,4]=>[6,2,1,3,4,5]
[5,1,6,2,4,3]=>[6,2,1,3,5,4]
[5,1,6,3,2,4]=>[6,2,1,4,3,5]
[5,1,6,3,4,2]=>[6,2,1,4,5,3]
[5,1,6,4,2,3]=>[6,2,1,5,3,4]
[5,1,6,4,3,2]=>[6,2,1,5,4,3]
[5,2,1,3,4,6]=>[1,6,3,2,4,5]
[5,2,1,3,6,4]=>[6,3,2,4,1,5]
[5,2,1,4,3,6]=>[1,6,3,2,5,4]
[5,2,1,4,6,3]=>[6,3,2,5,1,4]
[5,2,1,6,3,4]=>[6,3,2,1,4,5]
[5,2,1,6,4,3]=>[6,3,2,1,5,4]
[5,2,3,1,4,6]=>[1,6,3,4,2,5]
[5,2,3,1,6,4]=>[6,3,4,2,1,5]
[5,2,3,4,1,6]=>[1,6,3,4,5,2]
[5,2,3,4,6,1]=>[6,3,4,5,1,2]
[5,2,3,6,1,4]=>[6,3,4,1,2,5]
[5,2,3,6,4,1]=>[6,3,4,1,5,2]
[5,2,4,1,3,6]=>[1,6,3,5,2,4]
[5,2,4,1,6,3]=>[6,3,5,2,1,4]
[5,2,4,3,1,6]=>[1,6,3,5,4,2]
[5,2,4,3,6,1]=>[6,3,5,4,1,2]
[5,2,4,6,1,3]=>[6,3,5,1,2,4]
[5,2,4,6,3,1]=>[6,3,5,1,4,2]
[5,2,6,1,3,4]=>[6,3,1,2,4,5]
[5,2,6,1,4,3]=>[6,3,1,2,5,4]
[5,2,6,3,1,4]=>[6,3,1,4,2,5]
[5,2,6,3,4,1]=>[6,3,1,4,5,2]
[5,2,6,4,1,3]=>[6,3,1,5,2,4]
[5,2,6,4,3,1]=>[6,3,1,5,4,2]
[5,3,1,2,4,6]=>[1,6,4,2,3,5]
[5,3,1,2,6,4]=>[6,4,2,3,1,5]
[5,3,1,4,2,6]=>[1,6,4,2,5,3]
[5,3,1,4,6,2]=>[6,4,2,5,1,3]
[5,3,1,6,2,4]=>[6,4,2,1,3,5]
[5,3,1,6,4,2]=>[6,4,2,1,5,3]
[5,3,2,1,4,6]=>[1,6,4,3,2,5]
[5,3,2,1,6,4]=>[6,4,3,2,1,5]
[5,3,2,4,1,6]=>[1,6,4,3,5,2]
[5,3,2,4,6,1]=>[6,4,3,5,1,2]
[5,3,2,6,1,4]=>[6,4,3,1,2,5]
[5,3,2,6,4,1]=>[6,4,3,1,5,2]
[5,3,4,1,2,6]=>[1,6,4,5,2,3]
[5,3,4,1,6,2]=>[6,4,5,2,1,3]
[5,3,4,2,1,6]=>[1,6,4,5,3,2]
[5,3,4,2,6,1]=>[6,4,5,3,1,2]
[5,3,4,6,1,2]=>[6,4,5,1,2,3]
[5,3,4,6,2,1]=>[6,4,5,1,3,2]
[5,3,6,1,2,4]=>[6,4,1,2,3,5]
[5,3,6,1,4,2]=>[6,4,1,2,5,3]
[5,3,6,2,1,4]=>[6,4,1,3,2,5]
[5,3,6,2,4,1]=>[6,4,1,3,5,2]
[5,3,6,4,1,2]=>[6,4,1,5,2,3]
[5,3,6,4,2,1]=>[6,4,1,5,3,2]
[5,4,1,2,3,6]=>[1,6,5,2,3,4]
[5,4,1,2,6,3]=>[6,5,2,3,1,4]
[5,4,1,3,2,6]=>[1,6,5,2,4,3]
[5,4,1,3,6,2]=>[6,5,2,4,1,3]
[5,4,1,6,2,3]=>[6,5,2,1,3,4]
[5,4,1,6,3,2]=>[6,5,2,1,4,3]
[5,4,2,1,3,6]=>[1,6,5,3,2,4]
[5,4,2,1,6,3]=>[6,5,3,2,1,4]
[5,4,2,3,1,6]=>[1,6,5,3,4,2]
[5,4,2,3,6,1]=>[6,5,3,4,1,2]
[5,4,2,6,1,3]=>[6,5,3,1,2,4]
[5,4,2,6,3,1]=>[6,5,3,1,4,2]
[5,4,3,1,2,6]=>[1,6,5,4,2,3]
[5,4,3,1,6,2]=>[6,5,4,2,1,3]
[5,4,3,2,1,6]=>[1,6,5,4,3,2]
[5,4,3,2,6,1]=>[6,5,4,3,1,2]
[5,4,3,6,1,2]=>[6,5,4,1,2,3]
[5,4,3,6,2,1]=>[6,5,4,1,3,2]
[5,4,6,1,2,3]=>[6,5,1,2,3,4]
[5,4,6,1,3,2]=>[6,5,1,2,4,3]
[5,4,6,2,1,3]=>[6,5,1,3,2,4]
[5,4,6,2,3,1]=>[6,5,1,3,4,2]
[5,4,6,3,1,2]=>[6,5,1,4,2,3]
[5,4,6,3,2,1]=>[6,5,1,4,3,2]
[5,6,1,2,3,4]=>[6,1,2,3,4,5]
[5,6,1,2,4,3]=>[6,1,2,3,5,4]
[5,6,1,3,2,4]=>[6,1,2,4,3,5]
[5,6,1,3,4,2]=>[6,1,2,4,5,3]
[5,6,1,4,2,3]=>[6,1,2,5,3,4]
[5,6,1,4,3,2]=>[6,1,2,5,4,3]
[5,6,2,1,3,4]=>[6,1,3,2,4,5]
[5,6,2,1,4,3]=>[6,1,3,2,5,4]
[5,6,2,3,1,4]=>[6,1,3,4,2,5]
[5,6,2,3,4,1]=>[6,1,3,4,5,2]
[5,6,2,4,1,3]=>[6,1,3,5,2,4]
[5,6,2,4,3,1]=>[6,1,3,5,4,2]
[5,6,3,1,2,4]=>[6,1,4,2,3,5]
[5,6,3,1,4,2]=>[6,1,4,2,5,3]
[5,6,3,2,1,4]=>[6,1,4,3,2,5]
[5,6,3,2,4,1]=>[6,1,4,3,5,2]
[5,6,3,4,1,2]=>[6,1,4,5,2,3]
[5,6,3,4,2,1]=>[6,1,4,5,3,2]
[5,6,4,1,2,3]=>[6,1,5,2,3,4]
[5,6,4,1,3,2]=>[6,1,5,2,4,3]
[5,6,4,2,1,3]=>[6,1,5,3,2,4]
[5,6,4,2,3,1]=>[6,1,5,3,4,2]
[5,6,4,3,1,2]=>[6,1,5,4,2,3]
[5,6,4,3,2,1]=>[6,1,5,4,3,2]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[6,1,2,3,5,4]=>[2,3,4,6,5,1]
[6,1,2,4,3,5]=>[2,3,5,4,6,1]
[6,1,2,4,5,3]=>[2,3,5,6,4,1]
[6,1,2,5,3,4]=>[2,3,6,4,5,1]
[6,1,2,5,4,3]=>[2,3,6,5,4,1]
[6,1,3,2,4,5]=>[2,4,3,5,6,1]
[6,1,3,2,5,4]=>[2,4,3,6,5,1]
[6,1,3,4,2,5]=>[2,4,5,3,6,1]
[6,1,3,4,5,2]=>[2,4,5,6,3,1]
[6,1,3,5,2,4]=>[2,4,6,3,5,1]
[6,1,3,5,4,2]=>[2,4,6,5,3,1]
[6,1,4,2,3,5]=>[2,5,3,4,6,1]
[6,1,4,2,5,3]=>[2,5,3,6,4,1]
[6,1,4,3,2,5]=>[2,5,4,3,6,1]
[6,1,4,3,5,2]=>[2,5,4,6,3,1]
[6,1,4,5,2,3]=>[2,5,6,3,4,1]
[6,1,4,5,3,2]=>[2,5,6,4,3,1]
[6,1,5,2,3,4]=>[2,6,3,4,5,1]
[6,1,5,2,4,3]=>[2,6,3,5,4,1]
[6,1,5,3,2,4]=>[2,6,4,3,5,1]
[6,1,5,3,4,2]=>[2,6,4,5,3,1]
[6,1,5,4,2,3]=>[2,6,5,3,4,1]
[6,1,5,4,3,2]=>[2,6,5,4,3,1]
[6,2,1,3,4,5]=>[3,2,4,5,6,1]
[6,2,1,3,5,4]=>[3,2,4,6,5,1]
[6,2,1,4,3,5]=>[3,2,5,4,6,1]
[6,2,1,4,5,3]=>[3,2,5,6,4,1]
[6,2,1,5,3,4]=>[3,2,6,4,5,1]
[6,2,1,5,4,3]=>[3,2,6,5,4,1]
[6,2,3,1,4,5]=>[3,4,2,5,6,1]
[6,2,3,1,5,4]=>[3,4,2,6,5,1]
[6,2,3,4,1,5]=>[3,4,5,2,6,1]
[6,2,3,4,5,1]=>[3,4,5,6,2,1]
[6,2,3,5,1,4]=>[3,4,6,2,5,1]
[6,2,3,5,4,1]=>[3,4,6,5,2,1]
[6,2,4,1,3,5]=>[3,5,2,4,6,1]
[6,2,4,1,5,3]=>[3,5,2,6,4,1]
[6,2,4,3,1,5]=>[3,5,4,2,6,1]
[6,2,4,3,5,1]=>[3,5,4,6,2,1]
[6,2,4,5,1,3]=>[3,5,6,2,4,1]
[6,2,4,5,3,1]=>[3,5,6,4,2,1]
[6,2,5,1,3,4]=>[3,6,2,4,5,1]
[6,2,5,1,4,3]=>[3,6,2,5,4,1]
[6,2,5,3,1,4]=>[3,6,4,2,5,1]
[6,2,5,3,4,1]=>[3,6,4,5,2,1]
[6,2,5,4,1,3]=>[3,6,5,2,4,1]
[6,2,5,4,3,1]=>[3,6,5,4,2,1]
[6,3,1,2,4,5]=>[4,2,3,5,6,1]
[6,3,1,2,5,4]=>[4,2,3,6,5,1]
[6,3,1,4,2,5]=>[4,2,5,3,6,1]
[6,3,1,4,5,2]=>[4,2,5,6,3,1]
[6,3,1,5,2,4]=>[4,2,6,3,5,1]
[6,3,1,5,4,2]=>[4,2,6,5,3,1]
[6,3,2,1,4,5]=>[4,3,2,5,6,1]
[6,3,2,1,5,4]=>[4,3,2,6,5,1]
[6,3,2,4,1,5]=>[4,3,5,2,6,1]
[6,3,2,4,5,1]=>[4,3,5,6,2,1]
[6,3,2,5,1,4]=>[4,3,6,2,5,1]
[6,3,2,5,4,1]=>[4,3,6,5,2,1]
[6,3,4,1,2,5]=>[4,5,2,3,6,1]
[6,3,4,1,5,2]=>[4,5,2,6,3,1]
[6,3,4,2,1,5]=>[4,5,3,2,6,1]
[6,3,4,2,5,1]=>[4,5,3,6,2,1]
[6,3,4,5,1,2]=>[4,5,6,2,3,1]
[6,3,4,5,2,1]=>[4,5,6,3,2,1]
[6,3,5,1,2,4]=>[4,6,2,3,5,1]
[6,3,5,1,4,2]=>[4,6,2,5,3,1]
[6,3,5,2,1,4]=>[4,6,3,2,5,1]
[6,3,5,2,4,1]=>[4,6,3,5,2,1]
[6,3,5,4,1,2]=>[4,6,5,2,3,1]
[6,3,5,4,2,1]=>[4,6,5,3,2,1]
[6,4,1,2,3,5]=>[5,2,3,4,6,1]
[6,4,1,2,5,3]=>[5,2,3,6,4,1]
[6,4,1,3,2,5]=>[5,2,4,3,6,1]
[6,4,1,3,5,2]=>[5,2,4,6,3,1]
[6,4,1,5,2,3]=>[5,2,6,3,4,1]
[6,4,1,5,3,2]=>[5,2,6,4,3,1]
[6,4,2,1,3,5]=>[5,3,2,4,6,1]
[6,4,2,1,5,3]=>[5,3,2,6,4,1]
[6,4,2,3,1,5]=>[5,3,4,2,6,1]
[6,4,2,3,5,1]=>[5,3,4,6,2,1]
[6,4,2,5,1,3]=>[5,3,6,2,4,1]
[6,4,2,5,3,1]=>[5,3,6,4,2,1]
[6,4,3,1,2,5]=>[5,4,2,3,6,1]
[6,4,3,1,5,2]=>[5,4,2,6,3,1]
[6,4,3,2,1,5]=>[5,4,3,2,6,1]
[6,4,3,2,5,1]=>[5,4,3,6,2,1]
[6,4,3,5,1,2]=>[5,4,6,2,3,1]
[6,4,3,5,2,1]=>[5,4,6,3,2,1]
[6,4,5,1,2,3]=>[5,6,2,3,4,1]
[6,4,5,1,3,2]=>[5,6,2,4,3,1]
[6,4,5,2,1,3]=>[5,6,3,2,4,1]
[6,4,5,2,3,1]=>[5,6,3,4,2,1]
[6,4,5,3,1,2]=>[5,6,4,2,3,1]
[6,4,5,3,2,1]=>[5,6,4,3,2,1]
[6,5,1,2,3,4]=>[6,2,3,4,5,1]
[6,5,1,2,4,3]=>[6,2,3,5,4,1]
[6,5,1,3,2,4]=>[6,2,4,3,5,1]
[6,5,1,3,4,2]=>[6,2,4,5,3,1]
[6,5,1,4,2,3]=>[6,2,5,3,4,1]
[6,5,1,4,3,2]=>[6,2,5,4,3,1]
[6,5,2,1,3,4]=>[6,3,2,4,5,1]
[6,5,2,1,4,3]=>[6,3,2,5,4,1]
[6,5,2,3,1,4]=>[6,3,4,2,5,1]
[6,5,2,3,4,1]=>[6,3,4,5,2,1]
[6,5,2,4,1,3]=>[6,3,5,2,4,1]
[6,5,2,4,3,1]=>[6,3,5,4,2,1]
[6,5,3,1,2,4]=>[6,4,2,3,5,1]
[6,5,3,1,4,2]=>[6,4,2,5,3,1]
[6,5,3,2,1,4]=>[6,4,3,2,5,1]
[6,5,3,2,4,1]=>[6,4,3,5,2,1]
[6,5,3,4,1,2]=>[6,4,5,2,3,1]
[6,5,3,4,2,1]=>[6,4,5,3,2,1]
[6,5,4,1,2,3]=>[6,5,2,3,4,1]
[6,5,4,1,3,2]=>[6,5,2,4,3,1]
[6,5,4,2,1,3]=>[6,5,3,2,4,1]
[6,5,4,2,3,1]=>[6,5,3,4,2,1]
[6,5,4,3,1,2]=>[6,5,4,2,3,1]
[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]=>[2,3,4,5,6,1,7]
[1,2,3,4,6,5,7]=>[1,2,3,4,5,7,6]
[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6]
[1,2,3,4,7,5,6]=>[2,3,4,5,1,6,7]
[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]
[1,2,3,5,4,6,7]=>[1,2,3,4,6,5,7]
[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]
[1,2,3,5,6,4,7]=>[1,2,3,4,6,7,5]
[1,2,3,5,6,7,4]=>[2,3,4,6,7,1,5]
[1,2,3,5,7,4,6]=>[2,3,4,6,1,5,7]
[1,2,3,5,7,6,4]=>[2,3,4,6,1,7,5]
[1,2,3,6,4,5,7]=>[1,2,3,4,7,5,6]
[1,2,3,6,4,7,5]=>[2,3,4,7,5,1,6]
[1,2,3,6,5,4,7]=>[1,2,3,4,7,6,5]
[1,2,3,6,5,7,4]=>[2,3,4,7,6,1,5]
[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]
[1,2,3,6,7,5,4]=>[2,3,4,7,1,6,5]
[1,2,3,7,4,5,6]=>[2,3,4,1,5,6,7]
[1,2,3,7,4,6,5]=>[2,3,4,1,5,7,6]
[1,2,3,7,5,4,6]=>[2,3,4,1,6,5,7]
[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]
[1,2,3,7,6,4,5]=>[2,3,4,1,7,5,6]
[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]
[1,2,4,3,5,6,7]=>[1,2,3,5,4,6,7]
[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]
[1,2,4,3,6,5,7]=>[1,2,3,5,4,7,6]
[1,2,4,3,6,7,5]=>[2,3,5,4,7,1,6]
[1,2,4,3,7,5,6]=>[2,3,5,4,1,6,7]
[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]
[1,2,4,5,3,6,7]=>[1,2,3,5,6,4,7]
[1,2,4,5,3,7,6]=>[2,3,5,6,4,1,7]
[1,2,4,5,6,3,7]=>[1,2,3,5,6,7,4]
[1,2,4,5,6,7,3]=>[2,3,5,6,7,1,4]
[1,2,4,5,7,3,6]=>[2,3,5,6,1,4,7]
[1,2,4,5,7,6,3]=>[2,3,5,6,1,7,4]
[1,2,4,6,3,5,7]=>[1,2,3,5,7,4,6]
[1,2,4,6,3,7,5]=>[2,3,5,7,4,1,6]
[1,2,4,6,5,3,7]=>[1,2,3,5,7,6,4]
[1,2,4,6,5,7,3]=>[2,3,5,7,6,1,4]
[1,2,4,6,7,3,5]=>[2,3,5,7,1,4,6]
[1,2,4,6,7,5,3]=>[2,3,5,7,1,6,4]
[1,2,4,7,3,5,6]=>[2,3,5,1,4,6,7]
[1,2,4,7,3,6,5]=>[2,3,5,1,4,7,6]
[1,2,4,7,5,3,6]=>[2,3,5,1,6,4,7]
[1,2,4,7,5,6,3]=>[2,3,5,1,6,7,4]
[1,2,4,7,6,3,5]=>[2,3,5,1,7,4,6]
[1,2,4,7,6,5,3]=>[2,3,5,1,7,6,4]
[1,2,5,3,4,6,7]=>[1,2,3,6,4,5,7]
[1,2,5,3,4,7,6]=>[2,3,6,4,5,1,7]
[1,2,5,3,6,4,7]=>[1,2,3,6,4,7,5]
[1,2,5,3,6,7,4]=>[2,3,6,4,7,1,5]
[1,2,5,3,7,4,6]=>[2,3,6,4,1,5,7]
[1,2,5,3,7,6,4]=>[2,3,6,4,1,7,5]
[1,2,5,4,3,6,7]=>[1,2,3,6,5,4,7]
[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]
[1,2,5,4,6,3,7]=>[1,2,3,6,5,7,4]
[1,2,5,4,6,7,3]=>[2,3,6,5,7,1,4]
[1,2,5,4,7,3,6]=>[2,3,6,5,1,4,7]
[1,2,5,4,7,6,3]=>[2,3,6,5,1,7,4]
[1,2,5,6,3,4,7]=>[1,2,3,6,7,4,5]
[1,2,5,6,3,7,4]=>[2,3,6,7,4,1,5]
[1,2,5,6,4,3,7]=>[1,2,3,6,7,5,4]
[1,2,5,6,4,7,3]=>[2,3,6,7,5,1,4]
[1,2,5,6,7,3,4]=>[2,3,6,7,1,4,5]
[1,2,5,6,7,4,3]=>[2,3,6,7,1,5,4]
[1,2,5,7,3,4,6]=>[2,3,6,1,4,5,7]
[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]
[1,2,5,7,4,3,6]=>[2,3,6,1,5,4,7]
[1,2,5,7,4,6,3]=>[2,3,6,1,5,7,4]
[1,2,5,7,6,3,4]=>[2,3,6,1,7,4,5]
[1,2,5,7,6,4,3]=>[2,3,6,1,7,5,4]
[1,2,6,3,4,5,7]=>[1,2,3,7,4,5,6]
[1,2,6,3,4,7,5]=>[2,3,7,4,5,1,6]
[1,2,6,3,5,4,7]=>[1,2,3,7,4,6,5]
[1,2,6,3,5,7,4]=>[2,3,7,4,6,1,5]
[1,2,6,3,7,4,5]=>[2,3,7,4,1,5,6]
[1,2,6,3,7,5,4]=>[2,3,7,4,1,6,5]
[1,2,6,4,3,5,7]=>[1,2,3,7,5,4,6]
[1,2,6,4,3,7,5]=>[2,3,7,5,4,1,6]
[1,2,6,4,5,3,7]=>[1,2,3,7,5,6,4]
[1,2,6,4,5,7,3]=>[2,3,7,5,6,1,4]
[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]
[1,2,6,4,7,5,3]=>[2,3,7,5,1,6,4]
[1,2,6,5,3,4,7]=>[1,2,3,7,6,4,5]
[1,2,6,5,3,7,4]=>[2,3,7,6,4,1,5]
[1,2,6,5,4,3,7]=>[1,2,3,7,6,5,4]
[1,2,6,5,4,7,3]=>[2,3,7,6,5,1,4]
[1,2,6,5,7,3,4]=>[2,3,7,6,1,4,5]
[1,2,6,5,7,4,3]=>[2,3,7,6,1,5,4]
[1,2,6,7,3,4,5]=>[2,3,7,1,4,5,6]
[1,2,6,7,3,5,4]=>[2,3,7,1,4,6,5]
[1,2,6,7,4,3,5]=>[2,3,7,1,5,4,6]
[1,2,6,7,4,5,3]=>[2,3,7,1,5,6,4]
[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]
[1,2,6,7,5,4,3]=>[2,3,7,1,6,5,4]
[1,2,7,3,4,5,6]=>[2,3,1,4,5,6,7]
[1,2,7,3,4,6,5]=>[2,3,1,4,5,7,6]
[1,2,7,3,5,4,6]=>[2,3,1,4,6,5,7]
[1,2,7,3,5,6,4]=>[2,3,1,4,6,7,5]
[1,2,7,3,6,4,5]=>[2,3,1,4,7,5,6]
[1,2,7,3,6,5,4]=>[2,3,1,4,7,6,5]
[1,2,7,4,3,5,6]=>[2,3,1,5,4,6,7]
[1,2,7,4,3,6,5]=>[2,3,1,5,4,7,6]
[1,2,7,4,5,3,6]=>[2,3,1,5,6,4,7]
[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]
[1,2,7,4,6,3,5]=>[2,3,1,5,7,4,6]
[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]
[1,2,7,5,3,4,6]=>[2,3,1,6,4,5,7]
[1,2,7,5,3,6,4]=>[2,3,1,6,4,7,5]
[1,2,7,5,4,3,6]=>[2,3,1,6,5,4,7]
[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]
[1,2,7,5,6,3,4]=>[2,3,1,6,7,4,5]
[1,2,7,5,6,4,3]=>[2,3,1,6,7,5,4]
[1,2,7,6,3,4,5]=>[2,3,1,7,4,5,6]
[1,2,7,6,3,5,4]=>[2,3,1,7,4,6,5]
[1,2,7,6,4,3,5]=>[2,3,1,7,5,4,6]
[1,2,7,6,4,5,3]=>[2,3,1,7,5,6,4]
[1,2,7,6,5,3,4]=>[2,3,1,7,6,4,5]
[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]
[1,3,2,4,5,6,7]=>[1,2,4,3,5,6,7]
[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]
[1,3,2,4,6,5,7]=>[1,2,4,3,5,7,6]
[1,3,2,4,6,7,5]=>[2,4,3,5,7,1,6]
[1,3,2,4,7,5,6]=>[2,4,3,5,1,6,7]
[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]
[1,3,2,5,4,6,7]=>[1,2,4,3,6,5,7]
[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]
[1,3,2,5,6,4,7]=>[1,2,4,3,6,7,5]
[1,3,2,5,6,7,4]=>[2,4,3,6,7,1,5]
[1,3,2,5,7,4,6]=>[2,4,3,6,1,5,7]
[1,3,2,5,7,6,4]=>[2,4,3,6,1,7,5]
[1,3,2,6,4,5,7]=>[1,2,4,3,7,5,6]
[1,3,2,6,4,7,5]=>[2,4,3,7,5,1,6]
[1,3,2,6,5,4,7]=>[1,2,4,3,7,6,5]
[1,3,2,6,5,7,4]=>[2,4,3,7,6,1,5]
[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]
[1,3,2,6,7,5,4]=>[2,4,3,7,1,6,5]
[1,3,2,7,4,5,6]=>[2,4,3,1,5,6,7]
[1,3,2,7,4,6,5]=>[2,4,3,1,5,7,6]
[1,3,2,7,5,4,6]=>[2,4,3,1,6,5,7]
[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]
[1,3,2,7,6,4,5]=>[2,4,3,1,7,5,6]
[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]
[1,3,4,2,5,6,7]=>[1,2,4,5,3,6,7]
[1,3,4,2,5,7,6]=>[2,4,5,3,6,1,7]
[1,3,4,2,6,5,7]=>[1,2,4,5,3,7,6]
[1,3,4,2,6,7,5]=>[2,4,5,3,7,1,6]
[1,3,4,2,7,5,6]=>[2,4,5,3,1,6,7]
[1,3,4,2,7,6,5]=>[2,4,5,3,1,7,6]
[1,3,4,5,2,6,7]=>[1,2,4,5,6,3,7]
[1,3,4,5,2,7,6]=>[2,4,5,6,3,1,7]
[1,3,4,5,6,2,7]=>[1,2,4,5,6,7,3]
[1,3,4,5,6,7,2]=>[2,4,5,6,7,1,3]
[1,3,4,5,7,2,6]=>[2,4,5,6,1,3,7]
[1,3,4,5,7,6,2]=>[2,4,5,6,1,7,3]
[1,3,4,6,2,5,7]=>[1,2,4,5,7,3,6]
[1,3,4,6,2,7,5]=>[2,4,5,7,3,1,6]
[1,3,4,6,5,2,7]=>[1,2,4,5,7,6,3]
[1,3,4,6,5,7,2]=>[2,4,5,7,6,1,3]
[1,3,4,6,7,2,5]=>[2,4,5,7,1,3,6]
[1,3,4,6,7,5,2]=>[2,4,5,7,1,6,3]
[1,3,4,7,2,5,6]=>[2,4,5,1,3,6,7]
[1,3,4,7,2,6,5]=>[2,4,5,1,3,7,6]
[1,3,4,7,5,2,6]=>[2,4,5,1,6,3,7]
[1,3,4,7,5,6,2]=>[2,4,5,1,6,7,3]
[1,3,4,7,6,2,5]=>[2,4,5,1,7,3,6]
[1,3,4,7,6,5,2]=>[2,4,5,1,7,6,3]
[1,3,5,2,4,6,7]=>[1,2,4,6,3,5,7]
[1,3,5,2,4,7,6]=>[2,4,6,3,5,1,7]
[1,3,5,2,6,4,7]=>[1,2,4,6,3,7,5]
[1,3,5,2,6,7,4]=>[2,4,6,3,7,1,5]
[1,3,5,2,7,4,6]=>[2,4,6,3,1,5,7]
[1,3,5,2,7,6,4]=>[2,4,6,3,1,7,5]
[1,3,5,4,2,6,7]=>[1,2,4,6,5,3,7]
[1,3,5,4,2,7,6]=>[2,4,6,5,3,1,7]
[1,3,5,4,6,2,7]=>[1,2,4,6,5,7,3]
[1,3,5,4,6,7,2]=>[2,4,6,5,7,1,3]
[1,3,5,4,7,2,6]=>[2,4,6,5,1,3,7]
[1,3,5,4,7,6,2]=>[2,4,6,5,1,7,3]
[1,3,5,6,2,4,7]=>[1,2,4,6,7,3,5]
[1,3,5,6,2,7,4]=>[2,4,6,7,3,1,5]
[1,3,5,6,4,2,7]=>[1,2,4,6,7,5,3]
[1,3,5,6,4,7,2]=>[2,4,6,7,5,1,3]
[1,3,5,6,7,2,4]=>[2,4,6,7,1,3,5]
[1,3,5,6,7,4,2]=>[2,4,6,7,1,5,3]
[1,3,5,7,2,4,6]=>[2,4,6,1,3,5,7]
[1,3,5,7,2,6,4]=>[2,4,6,1,3,7,5]
[1,3,5,7,4,2,6]=>[2,4,6,1,5,3,7]
[1,3,5,7,4,6,2]=>[2,4,6,1,5,7,3]
[1,3,5,7,6,2,4]=>[2,4,6,1,7,3,5]
[1,3,5,7,6,4,2]=>[2,4,6,1,7,5,3]
[1,3,6,2,4,5,7]=>[1,2,4,7,3,5,6]
[1,3,6,2,4,7,5]=>[2,4,7,3,5,1,6]
[1,3,6,2,5,4,7]=>[1,2,4,7,3,6,5]
[1,3,6,2,5,7,4]=>[2,4,7,3,6,1,5]
[1,3,6,2,7,4,5]=>[2,4,7,3,1,5,6]
[1,3,6,2,7,5,4]=>[2,4,7,3,1,6,5]
[1,3,6,4,2,5,7]=>[1,2,4,7,5,3,6]
[1,3,6,4,2,7,5]=>[2,4,7,5,3,1,6]
[1,3,6,4,5,2,7]=>[1,2,4,7,5,6,3]
[1,3,6,4,5,7,2]=>[2,4,7,5,6,1,3]
[1,3,6,4,7,2,5]=>[2,4,7,5,1,3,6]
[1,3,6,4,7,5,2]=>[2,4,7,5,1,6,3]
[1,3,6,5,2,4,7]=>[1,2,4,7,6,3,5]
[1,3,6,5,2,7,4]=>[2,4,7,6,3,1,5]
[1,3,6,5,4,2,7]=>[1,2,4,7,6,5,3]
[1,3,6,5,4,7,2]=>[2,4,7,6,5,1,3]
[1,3,6,5,7,2,4]=>[2,4,7,6,1,3,5]
[1,3,6,5,7,4,2]=>[2,4,7,6,1,5,3]
[1,3,6,7,2,4,5]=>[2,4,7,1,3,5,6]
[1,3,6,7,2,5,4]=>[2,4,7,1,3,6,5]
[1,3,6,7,4,2,5]=>[2,4,7,1,5,3,6]
[1,3,6,7,4,5,2]=>[2,4,7,1,5,6,3]
[1,3,6,7,5,2,4]=>[2,4,7,1,6,3,5]
[1,3,6,7,5,4,2]=>[2,4,7,1,6,5,3]
[1,3,7,2,4,5,6]=>[2,4,1,3,5,6,7]
[1,3,7,2,4,6,5]=>[2,4,1,3,5,7,6]
[1,3,7,2,5,4,6]=>[2,4,1,3,6,5,7]
[1,3,7,2,5,6,4]=>[2,4,1,3,6,7,5]
[1,3,7,2,6,4,5]=>[2,4,1,3,7,5,6]
[1,3,7,2,6,5,4]=>[2,4,1,3,7,6,5]
[1,3,7,4,2,5,6]=>[2,4,1,5,3,6,7]
[1,3,7,4,2,6,5]=>[2,4,1,5,3,7,6]
[1,3,7,4,5,2,6]=>[2,4,1,5,6,3,7]
[1,3,7,4,5,6,2]=>[2,4,1,5,6,7,3]
[1,3,7,4,6,2,5]=>[2,4,1,5,7,3,6]
[1,3,7,4,6,5,2]=>[2,4,1,5,7,6,3]
[1,3,7,5,2,4,6]=>[2,4,1,6,3,5,7]
[1,3,7,5,2,6,4]=>[2,4,1,6,3,7,5]
[1,3,7,5,4,2,6]=>[2,4,1,6,5,3,7]
[1,3,7,5,4,6,2]=>[2,4,1,6,5,7,3]
[1,3,7,5,6,2,4]=>[2,4,1,6,7,3,5]
[1,3,7,5,6,4,2]=>[2,4,1,6,7,5,3]
[1,3,7,6,2,4,5]=>[2,4,1,7,3,5,6]
[1,3,7,6,2,5,4]=>[2,4,1,7,3,6,5]
[1,3,7,6,4,2,5]=>[2,4,1,7,5,3,6]
[1,3,7,6,4,5,2]=>[2,4,1,7,5,6,3]
[1,3,7,6,5,2,4]=>[2,4,1,7,6,3,5]
[1,3,7,6,5,4,2]=>[2,4,1,7,6,5,3]
[1,4,2,3,5,6,7]=>[1,2,5,3,4,6,7]
[1,4,2,3,5,7,6]=>[2,5,3,4,6,1,7]
[1,4,2,3,6,5,7]=>[1,2,5,3,4,7,6]
[1,4,2,3,6,7,5]=>[2,5,3,4,7,1,6]
[1,4,2,3,7,5,6]=>[2,5,3,4,1,6,7]
[1,4,2,3,7,6,5]=>[2,5,3,4,1,7,6]
[1,4,2,5,3,6,7]=>[1,2,5,3,6,4,7]
[1,4,2,5,3,7,6]=>[2,5,3,6,4,1,7]
[1,4,2,5,6,3,7]=>[1,2,5,3,6,7,4]
[1,4,2,5,6,7,3]=>[2,5,3,6,7,1,4]
[1,4,2,5,7,3,6]=>[2,5,3,6,1,4,7]
[1,4,2,5,7,6,3]=>[2,5,3,6,1,7,4]
[1,4,2,6,3,5,7]=>[1,2,5,3,7,4,6]
[1,4,2,6,3,7,5]=>[2,5,3,7,4,1,6]
[1,4,2,6,5,3,7]=>[1,2,5,3,7,6,4]
[1,4,2,6,5,7,3]=>[2,5,3,7,6,1,4]
[1,4,2,6,7,3,5]=>[2,5,3,7,1,4,6]
[1,4,2,6,7,5,3]=>[2,5,3,7,1,6,4]
[1,4,2,7,3,5,6]=>[2,5,3,1,4,6,7]
[1,4,2,7,3,6,5]=>[2,5,3,1,4,7,6]
[1,4,2,7,5,3,6]=>[2,5,3,1,6,4,7]
[1,4,2,7,5,6,3]=>[2,5,3,1,6,7,4]
[1,4,2,7,6,3,5]=>[2,5,3,1,7,4,6]
[1,4,2,7,6,5,3]=>[2,5,3,1,7,6,4]
[1,4,3,2,5,6,7]=>[1,2,5,4,3,6,7]
[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]
[1,4,3,2,6,5,7]=>[1,2,5,4,3,7,6]
[1,4,3,2,6,7,5]=>[2,5,4,3,7,1,6]
[1,4,3,2,7,5,6]=>[2,5,4,3,1,6,7]
[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]
[1,4,3,5,2,6,7]=>[1,2,5,4,6,3,7]
[1,4,3,5,2,7,6]=>[2,5,4,6,3,1,7]
[1,4,3,5,6,2,7]=>[1,2,5,4,6,7,3]
[1,4,3,5,6,7,2]=>[2,5,4,6,7,1,3]
[1,4,3,5,7,2,6]=>[2,5,4,6,1,3,7]
[1,4,3,5,7,6,2]=>[2,5,4,6,1,7,3]
[1,4,3,6,2,5,7]=>[1,2,5,4,7,3,6]
[1,4,3,6,2,7,5]=>[2,5,4,7,3,1,6]
[1,4,3,6,5,2,7]=>[1,2,5,4,7,6,3]
[1,4,3,6,5,7,2]=>[2,5,4,7,6,1,3]
[1,4,3,6,7,2,5]=>[2,5,4,7,1,3,6]
[1,4,3,6,7,5,2]=>[2,5,4,7,1,6,3]
[1,4,3,7,2,5,6]=>[2,5,4,1,3,6,7]
[1,4,3,7,2,6,5]=>[2,5,4,1,3,7,6]
[1,4,3,7,5,2,6]=>[2,5,4,1,6,3,7]
[1,4,3,7,5,6,2]=>[2,5,4,1,6,7,3]
[1,4,3,7,6,2,5]=>[2,5,4,1,7,3,6]
[1,4,3,7,6,5,2]=>[2,5,4,1,7,6,3]
[1,4,5,2,3,6,7]=>[1,2,5,6,3,4,7]
[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]
[1,4,5,2,6,3,7]=>[1,2,5,6,3,7,4]
[1,4,5,2,6,7,3]=>[2,5,6,3,7,1,4]
[1,4,5,2,7,3,6]=>[2,5,6,3,1,4,7]
[1,4,5,2,7,6,3]=>[2,5,6,3,1,7,4]
[1,4,5,3,2,6,7]=>[1,2,5,6,4,3,7]
[1,4,5,3,2,7,6]=>[2,5,6,4,3,1,7]
[1,4,5,3,6,2,7]=>[1,2,5,6,4,7,3]
[1,4,5,3,6,7,2]=>[2,5,6,4,7,1,3]
[1,4,5,3,7,2,6]=>[2,5,6,4,1,3,7]
[1,4,5,3,7,6,2]=>[2,5,6,4,1,7,3]
[1,4,5,6,2,3,7]=>[1,2,5,6,7,3,4]
[1,4,5,6,2,7,3]=>[2,5,6,7,3,1,4]
[1,4,5,6,3,2,7]=>[1,2,5,6,7,4,3]
[1,4,5,6,3,7,2]=>[2,5,6,7,4,1,3]
[1,4,5,6,7,2,3]=>[2,5,6,7,1,3,4]
[1,4,5,6,7,3,2]=>[2,5,6,7,1,4,3]
[1,4,5,7,2,3,6]=>[2,5,6,1,3,4,7]
[1,4,5,7,2,6,3]=>[2,5,6,1,3,7,4]
[1,4,5,7,3,2,6]=>[2,5,6,1,4,3,7]
[1,4,5,7,3,6,2]=>[2,5,6,1,4,7,3]
[1,4,5,7,6,2,3]=>[2,5,6,1,7,3,4]
[1,4,5,7,6,3,2]=>[2,5,6,1,7,4,3]
[1,4,6,2,3,5,7]=>[1,2,5,7,3,4,6]
[1,4,6,2,3,7,5]=>[2,5,7,3,4,1,6]
[1,4,6,2,5,3,7]=>[1,2,5,7,3,6,4]
[1,4,6,2,5,7,3]=>[2,5,7,3,6,1,4]
[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]
[1,4,6,2,7,5,3]=>[2,5,7,3,1,6,4]
[1,4,6,3,2,5,7]=>[1,2,5,7,4,3,6]
[1,4,6,3,2,7,5]=>[2,5,7,4,3,1,6]
[1,4,6,3,5,2,7]=>[1,2,5,7,4,6,3]
[1,4,6,3,5,7,2]=>[2,5,7,4,6,1,3]
[1,4,6,3,7,2,5]=>[2,5,7,4,1,3,6]
[1,4,6,3,7,5,2]=>[2,5,7,4,1,6,3]
[1,4,6,5,2,3,7]=>[1,2,5,7,6,3,4]
[1,4,6,5,2,7,3]=>[2,5,7,6,3,1,4]
[1,4,6,5,3,2,7]=>[1,2,5,7,6,4,3]
[1,4,6,5,3,7,2]=>[2,5,7,6,4,1,3]
[1,4,6,5,7,2,3]=>[2,5,7,6,1,3,4]
[1,4,6,5,7,3,2]=>[2,5,7,6,1,4,3]
[1,4,6,7,2,3,5]=>[2,5,7,1,3,4,6]
[1,4,6,7,2,5,3]=>[2,5,7,1,3,6,4]
[1,4,6,7,3,2,5]=>[2,5,7,1,4,3,6]
[1,4,6,7,3,5,2]=>[2,5,7,1,4,6,3]
[1,4,6,7,5,2,3]=>[2,5,7,1,6,3,4]
[1,4,6,7,5,3,2]=>[2,5,7,1,6,4,3]
[1,4,7,2,3,5,6]=>[2,5,1,3,4,6,7]
[1,4,7,2,3,6,5]=>[2,5,1,3,4,7,6]
[1,4,7,2,5,3,6]=>[2,5,1,3,6,4,7]
[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]
[1,4,7,2,6,3,5]=>[2,5,1,3,7,4,6]
[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]
[1,4,7,3,2,5,6]=>[2,5,1,4,3,6,7]
[1,4,7,3,2,6,5]=>[2,5,1,4,3,7,6]
[1,4,7,3,5,2,6]=>[2,5,1,4,6,3,7]
[1,4,7,3,5,6,2]=>[2,5,1,4,6,7,3]
[1,4,7,3,6,2,5]=>[2,5,1,4,7,3,6]
[1,4,7,3,6,5,2]=>[2,5,1,4,7,6,3]
[1,4,7,5,2,3,6]=>[2,5,1,6,3,4,7]
[1,4,7,5,2,6,3]=>[2,5,1,6,3,7,4]
[1,4,7,5,3,2,6]=>[2,5,1,6,4,3,7]
[1,4,7,5,3,6,2]=>[2,5,1,6,4,7,3]
[1,4,7,5,6,2,3]=>[2,5,1,6,7,3,4]
[1,4,7,5,6,3,2]=>[2,5,1,6,7,4,3]
[1,4,7,6,2,3,5]=>[2,5,1,7,3,4,6]
[1,4,7,6,2,5,3]=>[2,5,1,7,3,6,4]
[1,4,7,6,3,2,5]=>[2,5,1,7,4,3,6]
[1,4,7,6,3,5,2]=>[2,5,1,7,4,6,3]
[1,4,7,6,5,2,3]=>[2,5,1,7,6,3,4]
[1,4,7,6,5,3,2]=>[2,5,1,7,6,4,3]
[1,5,2,3,4,6,7]=>[1,2,6,3,4,5,7]
[1,5,2,3,4,7,6]=>[2,6,3,4,5,1,7]
[1,5,2,3,6,4,7]=>[1,2,6,3,4,7,5]
[1,5,2,3,6,7,4]=>[2,6,3,4,7,1,5]
[1,5,2,3,7,4,6]=>[2,6,3,4,1,5,7]
[1,5,2,3,7,6,4]=>[2,6,3,4,1,7,5]
[1,5,2,4,3,6,7]=>[1,2,6,3,5,4,7]
[1,5,2,4,3,7,6]=>[2,6,3,5,4,1,7]
[1,5,2,4,6,3,7]=>[1,2,6,3,5,7,4]
[1,5,2,4,6,7,3]=>[2,6,3,5,7,1,4]
[1,5,2,4,7,3,6]=>[2,6,3,5,1,4,7]
[1,5,2,4,7,6,3]=>[2,6,3,5,1,7,4]
[1,5,2,6,3,4,7]=>[1,2,6,3,7,4,5]
[1,5,2,6,3,7,4]=>[2,6,3,7,4,1,5]
[1,5,2,6,4,3,7]=>[1,2,6,3,7,5,4]
[1,5,2,6,4,7,3]=>[2,6,3,7,5,1,4]
[1,5,2,6,7,3,4]=>[2,6,3,7,1,4,5]
[1,5,2,6,7,4,3]=>[2,6,3,7,1,5,4]
[1,5,2,7,3,4,6]=>[2,6,3,1,4,5,7]
[1,5,2,7,3,6,4]=>[2,6,3,1,4,7,5]
[1,5,2,7,4,3,6]=>[2,6,3,1,5,4,7]
[1,5,2,7,4,6,3]=>[2,6,3,1,5,7,4]
[1,5,2,7,6,3,4]=>[2,6,3,1,7,4,5]
[1,5,2,7,6,4,3]=>[2,6,3,1,7,5,4]
[1,5,3,2,4,6,7]=>[1,2,6,4,3,5,7]
[1,5,3,2,4,7,6]=>[2,6,4,3,5,1,7]
[1,5,3,2,6,4,7]=>[1,2,6,4,3,7,5]
[1,5,3,2,6,7,4]=>[2,6,4,3,7,1,5]
[1,5,3,2,7,4,6]=>[2,6,4,3,1,5,7]
[1,5,3,2,7,6,4]=>[2,6,4,3,1,7,5]
[1,5,3,4,2,6,7]=>[1,2,6,4,5,3,7]
[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]
[1,5,3,4,6,2,7]=>[1,2,6,4,5,7,3]
[1,5,3,4,6,7,2]=>[2,6,4,5,7,1,3]
[1,5,3,4,7,2,6]=>[2,6,4,5,1,3,7]
[1,5,3,4,7,6,2]=>[2,6,4,5,1,7,3]
[1,5,3,6,2,4,7]=>[1,2,6,4,7,3,5]
[1,5,3,6,2,7,4]=>[2,6,4,7,3,1,5]
[1,5,3,6,4,2,7]=>[1,2,6,4,7,5,3]
[1,5,3,6,4,7,2]=>[2,6,4,7,5,1,3]
[1,5,3,6,7,2,4]=>[2,6,4,7,1,3,5]
[1,5,3,6,7,4,2]=>[2,6,4,7,1,5,3]
[1,5,3,7,2,4,6]=>[2,6,4,1,3,5,7]
[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]
[1,5,3,7,4,2,6]=>[2,6,4,1,5,3,7]
[1,5,3,7,4,6,2]=>[2,6,4,1,5,7,3]
[1,5,3,7,6,2,4]=>[2,6,4,1,7,3,5]
[1,5,3,7,6,4,2]=>[2,6,4,1,7,5,3]
[1,5,4,2,3,6,7]=>[1,2,6,5,3,4,7]
[1,5,4,2,3,7,6]=>[2,6,5,3,4,1,7]
[1,5,4,2,6,3,7]=>[1,2,6,5,3,7,4]
[1,5,4,2,6,7,3]=>[2,6,5,3,7,1,4]
[1,5,4,2,7,3,6]=>[2,6,5,3,1,4,7]
[1,5,4,2,7,6,3]=>[2,6,5,3,1,7,4]
[1,5,4,3,2,6,7]=>[1,2,6,5,4,3,7]
[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]
[1,5,4,3,6,2,7]=>[1,2,6,5,4,7,3]
[1,5,4,3,6,7,2]=>[2,6,5,4,7,1,3]
[1,5,4,3,7,2,6]=>[2,6,5,4,1,3,7]
[1,5,4,3,7,6,2]=>[2,6,5,4,1,7,3]
[1,5,4,6,2,3,7]=>[1,2,6,5,7,3,4]
[1,5,4,6,2,7,3]=>[2,6,5,7,3,1,4]
[1,5,4,6,3,2,7]=>[1,2,6,5,7,4,3]
[1,5,4,6,3,7,2]=>[2,6,5,7,4,1,3]
[1,5,4,6,7,2,3]=>[2,6,5,7,1,3,4]
[1,5,4,6,7,3,2]=>[2,6,5,7,1,4,3]
[1,5,4,7,2,3,6]=>[2,6,5,1,3,4,7]
[1,5,4,7,2,6,3]=>[2,6,5,1,3,7,4]
[1,5,4,7,3,2,6]=>[2,6,5,1,4,3,7]
[1,5,4,7,3,6,2]=>[2,6,5,1,4,7,3]
[1,5,4,7,6,2,3]=>[2,6,5,1,7,3,4]
[1,5,4,7,6,3,2]=>[2,6,5,1,7,4,3]
[1,5,6,2,3,4,7]=>[1,2,6,7,3,4,5]
[1,5,6,2,3,7,4]=>[2,6,7,3,4,1,5]
[1,5,6,2,4,3,7]=>[1,2,6,7,3,5,4]
[1,5,6,2,4,7,3]=>[2,6,7,3,5,1,4]
[1,5,6,2,7,3,4]=>[2,6,7,3,1,4,5]
[1,5,6,2,7,4,3]=>[2,6,7,3,1,5,4]
[1,5,6,3,2,4,7]=>[1,2,6,7,4,3,5]
[1,5,6,3,2,7,4]=>[2,6,7,4,3,1,5]
[1,5,6,3,4,2,7]=>[1,2,6,7,4,5,3]
[1,5,6,3,4,7,2]=>[2,6,7,4,5,1,3]
[1,5,6,3,7,2,4]=>[2,6,7,4,1,3,5]
[1,5,6,3,7,4,2]=>[2,6,7,4,1,5,3]
[1,5,6,4,2,3,7]=>[1,2,6,7,5,3,4]
[1,5,6,4,2,7,3]=>[2,6,7,5,3,1,4]
[1,5,6,4,3,2,7]=>[1,2,6,7,5,4,3]
[1,5,6,4,3,7,2]=>[2,6,7,5,4,1,3]
[1,5,6,4,7,2,3]=>[2,6,7,5,1,3,4]
[1,5,6,4,7,3,2]=>[2,6,7,5,1,4,3]
[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]
[1,5,6,7,2,4,3]=>[2,6,7,1,3,5,4]
[1,5,6,7,3,2,4]=>[2,6,7,1,4,3,5]
[1,5,6,7,3,4,2]=>[2,6,7,1,4,5,3]
[1,5,6,7,4,2,3]=>[2,6,7,1,5,3,4]
[1,5,6,7,4,3,2]=>[2,6,7,1,5,4,3]
[1,5,7,2,3,4,6]=>[2,6,1,3,4,5,7]
[1,5,7,2,3,6,4]=>[2,6,1,3,4,7,5]
[1,5,7,2,4,3,6]=>[2,6,1,3,5,4,7]
[1,5,7,2,4,6,3]=>[2,6,1,3,5,7,4]
[1,5,7,2,6,3,4]=>[2,6,1,3,7,4,5]
[1,5,7,2,6,4,3]=>[2,6,1,3,7,5,4]
[1,5,7,3,2,4,6]=>[2,6,1,4,3,5,7]
[1,5,7,3,2,6,4]=>[2,6,1,4,3,7,5]
[1,5,7,3,4,2,6]=>[2,6,1,4,5,3,7]
[1,5,7,3,4,6,2]=>[2,6,1,4,5,7,3]
[1,5,7,3,6,2,4]=>[2,6,1,4,7,3,5]
[1,5,7,3,6,4,2]=>[2,6,1,4,7,5,3]
[1,5,7,4,2,3,6]=>[2,6,1,5,3,4,7]
[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]
[1,5,7,4,3,2,6]=>[2,6,1,5,4,3,7]
[1,5,7,4,3,6,2]=>[2,6,1,5,4,7,3]
[1,5,7,4,6,2,3]=>[2,6,1,5,7,3,4]
[1,5,7,4,6,3,2]=>[2,6,1,5,7,4,3]
[1,5,7,6,2,3,4]=>[2,6,1,7,3,4,5]
[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]
[1,5,7,6,3,2,4]=>[2,6,1,7,4,3,5]
[1,5,7,6,3,4,2]=>[2,6,1,7,4,5,3]
[1,5,7,6,4,2,3]=>[2,6,1,7,5,3,4]
[1,5,7,6,4,3,2]=>[2,6,1,7,5,4,3]
[1,6,2,3,4,5,7]=>[1,2,7,3,4,5,6]
[1,6,2,3,4,7,5]=>[2,7,3,4,5,1,6]
[1,6,2,3,5,4,7]=>[1,2,7,3,4,6,5]
[1,6,2,3,5,7,4]=>[2,7,3,4,6,1,5]
[1,6,2,3,7,4,5]=>[2,7,3,4,1,5,6]
[1,6,2,3,7,5,4]=>[2,7,3,4,1,6,5]
[1,6,2,4,3,5,7]=>[1,2,7,3,5,4,6]
[1,6,2,4,3,7,5]=>[2,7,3,5,4,1,6]
[1,6,2,4,5,3,7]=>[1,2,7,3,5,6,4]
[1,6,2,4,5,7,3]=>[2,7,3,5,6,1,4]
[1,6,2,4,7,3,5]=>[2,7,3,5,1,4,6]
[1,6,2,4,7,5,3]=>[2,7,3,5,1,6,4]
[1,6,2,5,3,4,7]=>[1,2,7,3,6,4,5]
[1,6,2,5,3,7,4]=>[2,7,3,6,4,1,5]
[1,6,2,5,4,3,7]=>[1,2,7,3,6,5,4]
[1,6,2,5,4,7,3]=>[2,7,3,6,5,1,4]
[1,6,2,5,7,3,4]=>[2,7,3,6,1,4,5]
[1,6,2,5,7,4,3]=>[2,7,3,6,1,5,4]
[1,6,2,7,3,4,5]=>[2,7,3,1,4,5,6]
[1,6,2,7,3,5,4]=>[2,7,3,1,4,6,5]
[1,6,2,7,4,3,5]=>[2,7,3,1,5,4,6]
[1,6,2,7,4,5,3]=>[2,7,3,1,5,6,4]
[1,6,2,7,5,3,4]=>[2,7,3,1,6,4,5]
[1,6,2,7,5,4,3]=>[2,7,3,1,6,5,4]
[1,6,3,2,4,5,7]=>[1,2,7,4,3,5,6]
[1,6,3,2,4,7,5]=>[2,7,4,3,5,1,6]
[1,6,3,2,5,4,7]=>[1,2,7,4,3,6,5]
[1,6,3,2,5,7,4]=>[2,7,4,3,6,1,5]
[1,6,3,2,7,4,5]=>[2,7,4,3,1,5,6]
[1,6,3,2,7,5,4]=>[2,7,4,3,1,6,5]
[1,6,3,4,2,5,7]=>[1,2,7,4,5,3,6]
[1,6,3,4,2,7,5]=>[2,7,4,5,3,1,6]
[1,6,3,4,5,2,7]=>[1,2,7,4,5,6,3]
[1,6,3,4,5,7,2]=>[2,7,4,5,6,1,3]
[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]
[1,6,3,4,7,5,2]=>[2,7,4,5,1,6,3]
[1,6,3,5,2,4,7]=>[1,2,7,4,6,3,5]
[1,6,3,5,2,7,4]=>[2,7,4,6,3,1,5]
[1,6,3,5,4,2,7]=>[1,2,7,4,6,5,3]
[1,6,3,5,4,7,2]=>[2,7,4,6,5,1,3]
[1,6,3,5,7,2,4]=>[2,7,4,6,1,3,5]
[1,6,3,5,7,4,2]=>[2,7,4,6,1,5,3]
[1,6,3,7,2,4,5]=>[2,7,4,1,3,5,6]
[1,6,3,7,2,5,4]=>[2,7,4,1,3,6,5]
[1,6,3,7,4,2,5]=>[2,7,4,1,5,3,6]
[1,6,3,7,4,5,2]=>[2,7,4,1,5,6,3]
[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]
[1,6,3,7,5,4,2]=>[2,7,4,1,6,5,3]
[1,6,4,2,3,5,7]=>[1,2,7,5,3,4,6]
[1,6,4,2,3,7,5]=>[2,7,5,3,4,1,6]
[1,6,4,2,5,3,7]=>[1,2,7,5,3,6,4]
[1,6,4,2,5,7,3]=>[2,7,5,3,6,1,4]
[1,6,4,2,7,3,5]=>[2,7,5,3,1,4,6]
[1,6,4,2,7,5,3]=>[2,7,5,3,1,6,4]
[1,6,4,3,2,5,7]=>[1,2,7,5,4,3,6]
[1,6,4,3,2,7,5]=>[2,7,5,4,3,1,6]
[1,6,4,3,5,2,7]=>[1,2,7,5,4,6,3]
[1,6,4,3,5,7,2]=>[2,7,5,4,6,1,3]
[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]
[1,6,4,3,7,5,2]=>[2,7,5,4,1,6,3]
[1,6,4,5,2,3,7]=>[1,2,7,5,6,3,4]
[1,6,4,5,2,7,3]=>[2,7,5,6,3,1,4]
[1,6,4,5,3,2,7]=>[1,2,7,5,6,4,3]
[1,6,4,5,3,7,2]=>[2,7,5,6,4,1,3]
[1,6,4,5,7,2,3]=>[2,7,5,6,1,3,4]
[1,6,4,5,7,3,2]=>[2,7,5,6,1,4,3]
[1,6,4,7,2,3,5]=>[2,7,5,1,3,4,6]
[1,6,4,7,2,5,3]=>[2,7,5,1,3,6,4]
[1,6,4,7,3,2,5]=>[2,7,5,1,4,3,6]
[1,6,4,7,3,5,2]=>[2,7,5,1,4,6,3]
[1,6,4,7,5,2,3]=>[2,7,5,1,6,3,4]
[1,6,4,7,5,3,2]=>[2,7,5,1,6,4,3]
[1,6,5,2,3,4,7]=>[1,2,7,6,3,4,5]
[1,6,5,2,3,7,4]=>[2,7,6,3,4,1,5]
[1,6,5,2,4,3,7]=>[1,2,7,6,3,5,4]
[1,6,5,2,4,7,3]=>[2,7,6,3,5,1,4]
[1,6,5,2,7,3,4]=>[2,7,6,3,1,4,5]
[1,6,5,2,7,4,3]=>[2,7,6,3,1,5,4]
[1,6,5,3,2,4,7]=>[1,2,7,6,4,3,5]
[1,6,5,3,2,7,4]=>[2,7,6,4,3,1,5]
[1,6,5,3,4,2,7]=>[1,2,7,6,4,5,3]
[1,6,5,3,4,7,2]=>[2,7,6,4,5,1,3]
[1,6,5,3,7,2,4]=>[2,7,6,4,1,3,5]
[1,6,5,3,7,4,2]=>[2,7,6,4,1,5,3]
[1,6,5,4,2,3,7]=>[1,2,7,6,5,3,4]
[1,6,5,4,2,7,3]=>[2,7,6,5,3,1,4]
[1,6,5,4,3,2,7]=>[1,2,7,6,5,4,3]
[1,6,5,4,3,7,2]=>[2,7,6,5,4,1,3]
[1,6,5,4,7,2,3]=>[2,7,6,5,1,3,4]
[1,6,5,4,7,3,2]=>[2,7,6,5,1,4,3]
[1,6,5,7,2,3,4]=>[2,7,6,1,3,4,5]
[1,6,5,7,2,4,3]=>[2,7,6,1,3,5,4]
[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]
[1,6,5,7,3,4,2]=>[2,7,6,1,4,5,3]
[1,6,5,7,4,2,3]=>[2,7,6,1,5,3,4]
[1,6,5,7,4,3,2]=>[2,7,6,1,5,4,3]
[1,6,7,2,3,4,5]=>[2,7,1,3,4,5,6]
[1,6,7,2,3,5,4]=>[2,7,1,3,4,6,5]
[1,6,7,2,4,3,5]=>[2,7,1,3,5,4,6]
[1,6,7,2,4,5,3]=>[2,7,1,3,5,6,4]
[1,6,7,2,5,3,4]=>[2,7,1,3,6,4,5]
[1,6,7,2,5,4,3]=>[2,7,1,3,6,5,4]
[1,6,7,3,2,4,5]=>[2,7,1,4,3,5,6]
[1,6,7,3,2,5,4]=>[2,7,1,4,3,6,5]
[1,6,7,3,4,2,5]=>[2,7,1,4,5,3,6]
[1,6,7,3,4,5,2]=>[2,7,1,4,5,6,3]
[1,6,7,3,5,2,4]=>[2,7,1,4,6,3,5]
[1,6,7,3,5,4,2]=>[2,7,1,4,6,5,3]
[1,6,7,4,2,3,5]=>[2,7,1,5,3,4,6]
[1,6,7,4,2,5,3]=>[2,7,1,5,3,6,4]
[1,6,7,4,3,2,5]=>[2,7,1,5,4,3,6]
[1,6,7,4,3,5,2]=>[2,7,1,5,4,6,3]
[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]
[1,6,7,4,5,3,2]=>[2,7,1,5,6,4,3]
[1,6,7,5,2,3,4]=>[2,7,1,6,3,4,5]
[1,6,7,5,2,4,3]=>[2,7,1,6,3,5,4]
[1,6,7,5,3,2,4]=>[2,7,1,6,4,3,5]
[1,6,7,5,3,4,2]=>[2,7,1,6,4,5,3]
[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]
[1,6,7,5,4,3,2]=>[2,7,1,6,5,4,3]
[1,7,2,3,4,5,6]=>[2,1,3,4,5,6,7]
[1,7,2,3,4,6,5]=>[2,1,3,4,5,7,6]
[1,7,2,3,5,4,6]=>[2,1,3,4,6,5,7]
[1,7,2,3,5,6,4]=>[2,1,3,4,6,7,5]
[1,7,2,3,6,4,5]=>[2,1,3,4,7,5,6]
[1,7,2,3,6,5,4]=>[2,1,3,4,7,6,5]
[1,7,2,4,3,5,6]=>[2,1,3,5,4,6,7]
[1,7,2,4,3,6,5]=>[2,1,3,5,4,7,6]
[1,7,2,4,5,3,6]=>[2,1,3,5,6,4,7]
[1,7,2,4,5,6,3]=>[2,1,3,5,6,7,4]
[1,7,2,4,6,3,5]=>[2,1,3,5,7,4,6]
[1,7,2,4,6,5,3]=>[2,1,3,5,7,6,4]
[1,7,2,5,3,4,6]=>[2,1,3,6,4,5,7]
[1,7,2,5,3,6,4]=>[2,1,3,6,4,7,5]
[1,7,2,5,4,3,6]=>[2,1,3,6,5,4,7]
[1,7,2,5,4,6,3]=>[2,1,3,6,5,7,4]
[1,7,2,5,6,3,4]=>[2,1,3,6,7,4,5]
[1,7,2,5,6,4,3]=>[2,1,3,6,7,5,4]
[1,7,2,6,3,4,5]=>[2,1,3,7,4,5,6]
[1,7,2,6,3,5,4]=>[2,1,3,7,4,6,5]
[1,7,2,6,4,3,5]=>[2,1,3,7,5,4,6]
[1,7,2,6,4,5,3]=>[2,1,3,7,5,6,4]
[1,7,2,6,5,3,4]=>[2,1,3,7,6,4,5]
[1,7,2,6,5,4,3]=>[2,1,3,7,6,5,4]
[1,7,3,2,4,5,6]=>[2,1,4,3,5,6,7]
[1,7,3,2,4,6,5]=>[2,1,4,3,5,7,6]
[1,7,3,2,5,4,6]=>[2,1,4,3,6,5,7]
[1,7,3,2,5,6,4]=>[2,1,4,3,6,7,5]
[1,7,3,2,6,4,5]=>[2,1,4,3,7,5,6]
[1,7,3,2,6,5,4]=>[2,1,4,3,7,6,5]
[1,7,3,4,2,5,6]=>[2,1,4,5,3,6,7]
[1,7,3,4,2,6,5]=>[2,1,4,5,3,7,6]
[1,7,3,4,5,2,6]=>[2,1,4,5,6,3,7]
[1,7,3,4,5,6,2]=>[2,1,4,5,6,7,3]
[1,7,3,4,6,2,5]=>[2,1,4,5,7,3,6]
[1,7,3,4,6,5,2]=>[2,1,4,5,7,6,3]
[1,7,3,5,2,4,6]=>[2,1,4,6,3,5,7]
[1,7,3,5,2,6,4]=>[2,1,4,6,3,7,5]
[1,7,3,5,4,2,6]=>[2,1,4,6,5,3,7]
[1,7,3,5,4,6,2]=>[2,1,4,6,5,7,3]
[1,7,3,5,6,2,4]=>[2,1,4,6,7,3,5]
[1,7,3,5,6,4,2]=>[2,1,4,6,7,5,3]
[1,7,3,6,2,4,5]=>[2,1,4,7,3,5,6]
[1,7,3,6,2,5,4]=>[2,1,4,7,3,6,5]
[1,7,3,6,4,2,5]=>[2,1,4,7,5,3,6]
[1,7,3,6,4,5,2]=>[2,1,4,7,5,6,3]
[1,7,3,6,5,2,4]=>[2,1,4,7,6,3,5]
[1,7,3,6,5,4,2]=>[2,1,4,7,6,5,3]
[1,7,4,2,3,5,6]=>[2,1,5,3,4,6,7]
[1,7,4,2,3,6,5]=>[2,1,5,3,4,7,6]
[1,7,4,2,5,3,6]=>[2,1,5,3,6,4,7]
[1,7,4,2,5,6,3]=>[2,1,5,3,6,7,4]
[1,7,4,2,6,3,5]=>[2,1,5,3,7,4,6]
[1,7,4,2,6,5,3]=>[2,1,5,3,7,6,4]
[1,7,4,3,2,5,6]=>[2,1,5,4,3,6,7]
[1,7,4,3,2,6,5]=>[2,1,5,4,3,7,6]
[1,7,4,3,5,2,6]=>[2,1,5,4,6,3,7]
[1,7,4,3,5,6,2]=>[2,1,5,4,6,7,3]
[1,7,4,3,6,2,5]=>[2,1,5,4,7,3,6]
[1,7,4,3,6,5,2]=>[2,1,5,4,7,6,3]
[1,7,4,5,2,3,6]=>[2,1,5,6,3,4,7]
[1,7,4,5,2,6,3]=>[2,1,5,6,3,7,4]
[1,7,4,5,3,2,6]=>[2,1,5,6,4,3,7]
[1,7,4,5,3,6,2]=>[2,1,5,6,4,7,3]
[1,7,4,5,6,2,3]=>[2,1,5,6,7,3,4]
[1,7,4,5,6,3,2]=>[2,1,5,6,7,4,3]
[1,7,4,6,2,3,5]=>[2,1,5,7,3,4,6]
[1,7,4,6,2,5,3]=>[2,1,5,7,3,6,4]
[1,7,4,6,3,2,5]=>[2,1,5,7,4,3,6]
[1,7,4,6,3,5,2]=>[2,1,5,7,4,6,3]
[1,7,4,6,5,2,3]=>[2,1,5,7,6,3,4]
[1,7,4,6,5,3,2]=>[2,1,5,7,6,4,3]
[1,7,5,2,3,4,6]=>[2,1,6,3,4,5,7]
[1,7,5,2,3,6,4]=>[2,1,6,3,4,7,5]
[1,7,5,2,4,3,6]=>[2,1,6,3,5,4,7]
[1,7,5,2,4,6,3]=>[2,1,6,3,5,7,4]
[1,7,5,2,6,3,4]=>[2,1,6,3,7,4,5]
[1,7,5,2,6,4,3]=>[2,1,6,3,7,5,4]
[1,7,5,3,2,4,6]=>[2,1,6,4,3,5,7]
[1,7,5,3,2,6,4]=>[2,1,6,4,3,7,5]
[1,7,5,3,4,2,6]=>[2,1,6,4,5,3,7]
[1,7,5,3,4,6,2]=>[2,1,6,4,5,7,3]
[1,7,5,3,6,2,4]=>[2,1,6,4,7,3,5]
[1,7,5,3,6,4,2]=>[2,1,6,4,7,5,3]
[1,7,5,4,2,3,6]=>[2,1,6,5,3,4,7]
[1,7,5,4,2,6,3]=>[2,1,6,5,3,7,4]
[1,7,5,4,3,2,6]=>[2,1,6,5,4,3,7]
[1,7,5,4,3,6,2]=>[2,1,6,5,4,7,3]
[1,7,5,4,6,2,3]=>[2,1,6,5,7,3,4]
[1,7,5,4,6,3,2]=>[2,1,6,5,7,4,3]
[1,7,5,6,2,3,4]=>[2,1,6,7,3,4,5]
[1,7,5,6,2,4,3]=>[2,1,6,7,3,5,4]
[1,7,5,6,3,2,4]=>[2,1,6,7,4,3,5]
[1,7,5,6,3,4,2]=>[2,1,6,7,4,5,3]
[1,7,5,6,4,2,3]=>[2,1,6,7,5,3,4]
[1,7,5,6,4,3,2]=>[2,1,6,7,5,4,3]
[1,7,6,2,3,4,5]=>[2,1,7,3,4,5,6]
[1,7,6,2,3,5,4]=>[2,1,7,3,4,6,5]
[1,7,6,2,4,3,5]=>[2,1,7,3,5,4,6]
[1,7,6,2,4,5,3]=>[2,1,7,3,5,6,4]
[1,7,6,2,5,3,4]=>[2,1,7,3,6,4,5]
[1,7,6,2,5,4,3]=>[2,1,7,3,6,5,4]
[1,7,6,3,2,4,5]=>[2,1,7,4,3,5,6]
[1,7,6,3,2,5,4]=>[2,1,7,4,3,6,5]
[1,7,6,3,4,2,5]=>[2,1,7,4,5,3,6]
[1,7,6,3,4,5,2]=>[2,1,7,4,5,6,3]
[1,7,6,3,5,2,4]=>[2,1,7,4,6,3,5]
[1,7,6,3,5,4,2]=>[2,1,7,4,6,5,3]
[1,7,6,4,2,3,5]=>[2,1,7,5,3,4,6]
[1,7,6,4,2,5,3]=>[2,1,7,5,3,6,4]
[1,7,6,4,3,2,5]=>[2,1,7,5,4,3,6]
[1,7,6,4,3,5,2]=>[2,1,7,5,4,6,3]
[1,7,6,4,5,2,3]=>[2,1,7,5,6,3,4]
[1,7,6,4,5,3,2]=>[2,1,7,5,6,4,3]
[1,7,6,5,2,3,4]=>[2,1,7,6,3,4,5]
[1,7,6,5,2,4,3]=>[2,1,7,6,3,5,4]
[1,7,6,5,3,2,4]=>[2,1,7,6,4,3,5]
[1,7,6,5,3,4,2]=>[2,1,7,6,4,5,3]
[1,7,6,5,4,2,3]=>[2,1,7,6,5,3,4]
[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]
[2,1,3,4,5,6,7]=>[1,3,2,4,5,6,7]
[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]
[2,1,3,4,6,5,7]=>[1,3,2,4,5,7,6]
[2,1,3,4,6,7,5]=>[3,2,4,5,7,1,6]
[2,1,3,4,7,5,6]=>[3,2,4,5,1,6,7]
[2,1,3,4,7,6,5]=>[3,2,4,5,1,7,6]
[2,1,3,5,4,6,7]=>[1,3,2,4,6,5,7]
[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]
[2,1,3,5,6,4,7]=>[1,3,2,4,6,7,5]
[2,1,3,5,6,7,4]=>[3,2,4,6,7,1,5]
[2,1,3,5,7,4,6]=>[3,2,4,6,1,5,7]
[2,1,3,5,7,6,4]=>[3,2,4,6,1,7,5]
[2,1,3,6,4,5,7]=>[1,3,2,4,7,5,6]
[2,1,3,6,4,7,5]=>[3,2,4,7,5,1,6]
[2,1,3,6,5,4,7]=>[1,3,2,4,7,6,5]
[2,1,3,6,5,7,4]=>[3,2,4,7,6,1,5]
[2,1,3,6,7,4,5]=>[3,2,4,7,1,5,6]
[2,1,3,6,7,5,4]=>[3,2,4,7,1,6,5]
[2,1,3,7,4,5,6]=>[3,2,4,1,5,6,7]
[2,1,3,7,4,6,5]=>[3,2,4,1,5,7,6]
[2,1,3,7,5,4,6]=>[3,2,4,1,6,5,7]
[2,1,3,7,5,6,4]=>[3,2,4,1,6,7,5]
[2,1,3,7,6,4,5]=>[3,2,4,1,7,5,6]
[2,1,3,7,6,5,4]=>[3,2,4,1,7,6,5]
[2,1,4,3,5,6,7]=>[1,3,2,5,4,6,7]
[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]
[2,1,4,3,6,5,7]=>[1,3,2,5,4,7,6]
[2,1,4,3,6,7,5]=>[3,2,5,4,7,1,6]
[2,1,4,3,7,5,6]=>[3,2,5,4,1,6,7]
[2,1,4,3,7,6,5]=>[3,2,5,4,1,7,6]
[2,1,4,5,3,6,7]=>[1,3,2,5,6,4,7]
[2,1,4,5,3,7,6]=>[3,2,5,6,4,1,7]
[2,1,4,5,6,3,7]=>[1,3,2,5,6,7,4]
[2,1,4,5,6,7,3]=>[3,2,5,6,7,1,4]
[2,1,4,5,7,3,6]=>[3,2,5,6,1,4,7]
[2,1,4,5,7,6,3]=>[3,2,5,6,1,7,4]
[2,1,4,6,3,5,7]=>[1,3,2,5,7,4,6]
[2,1,4,6,3,7,5]=>[3,2,5,7,4,1,6]
[2,1,4,6,5,3,7]=>[1,3,2,5,7,6,4]
[2,1,4,6,5,7,3]=>[3,2,5,7,6,1,4]
[2,1,4,6,7,3,5]=>[3,2,5,7,1,4,6]
[2,1,4,6,7,5,3]=>[3,2,5,7,1,6,4]
[2,1,4,7,3,5,6]=>[3,2,5,1,4,6,7]
[2,1,4,7,3,6,5]=>[3,2,5,1,4,7,6]
[2,1,4,7,5,3,6]=>[3,2,5,1,6,4,7]
[2,1,4,7,5,6,3]=>[3,2,5,1,6,7,4]
[2,1,4,7,6,3,5]=>[3,2,5,1,7,4,6]
[2,1,4,7,6,5,3]=>[3,2,5,1,7,6,4]
[2,1,5,3,4,6,7]=>[1,3,2,6,4,5,7]
[2,1,5,3,4,7,6]=>[3,2,6,4,5,1,7]
[2,1,5,3,6,4,7]=>[1,3,2,6,4,7,5]
[2,1,5,3,6,7,4]=>[3,2,6,4,7,1,5]
[2,1,5,3,7,4,6]=>[3,2,6,4,1,5,7]
[2,1,5,3,7,6,4]=>[3,2,6,4,1,7,5]
[2,1,5,4,3,6,7]=>[1,3,2,6,5,4,7]
[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]
[2,1,5,4,6,3,7]=>[1,3,2,6,5,7,4]
[2,1,5,4,6,7,3]=>[3,2,6,5,7,1,4]
[2,1,5,4,7,3,6]=>[3,2,6,5,1,4,7]
[2,1,5,4,7,6,3]=>[3,2,6,5,1,7,4]
[2,1,5,6,3,4,7]=>[1,3,2,6,7,4,5]
[2,1,5,6,3,7,4]=>[3,2,6,7,4,1,5]
[2,1,5,6,4,3,7]=>[1,3,2,6,7,5,4]
[2,1,5,6,4,7,3]=>[3,2,6,7,5,1,4]
[2,1,5,6,7,3,4]=>[3,2,6,7,1,4,5]
[2,1,5,6,7,4,3]=>[3,2,6,7,1,5,4]
[2,1,5,7,3,4,6]=>[3,2,6,1,4,5,7]
[2,1,5,7,3,6,4]=>[3,2,6,1,4,7,5]
[2,1,5,7,4,3,6]=>[3,2,6,1,5,4,7]
[2,1,5,7,4,6,3]=>[3,2,6,1,5,7,4]
[2,1,5,7,6,3,4]=>[3,2,6,1,7,4,5]
[2,1,5,7,6,4,3]=>[3,2,6,1,7,5,4]
[2,1,6,3,4,5,7]=>[1,3,2,7,4,5,6]
[2,1,6,3,4,7,5]=>[3,2,7,4,5,1,6]
[2,1,6,3,5,4,7]=>[1,3,2,7,4,6,5]
[2,1,6,3,5,7,4]=>[3,2,7,4,6,1,5]
[2,1,6,3,7,4,5]=>[3,2,7,4,1,5,6]
[2,1,6,3,7,5,4]=>[3,2,7,4,1,6,5]
[2,1,6,4,3,5,7]=>[1,3,2,7,5,4,6]
[2,1,6,4,3,7,5]=>[3,2,7,5,4,1,6]
[2,1,6,4,5,3,7]=>[1,3,2,7,5,6,4]
[2,1,6,4,5,7,3]=>[3,2,7,5,6,1,4]
[2,1,6,4,7,3,5]=>[3,2,7,5,1,4,6]
[2,1,6,4,7,5,3]=>[3,2,7,5,1,6,4]
[2,1,6,5,3,4,7]=>[1,3,2,7,6,4,5]
[2,1,6,5,3,7,4]=>[3,2,7,6,4,1,5]
[2,1,6,5,4,3,7]=>[1,3,2,7,6,5,4]
[2,1,6,5,4,7,3]=>[3,2,7,6,5,1,4]
[2,1,6,5,7,3,4]=>[3,2,7,6,1,4,5]
[2,1,6,5,7,4,3]=>[3,2,7,6,1,5,4]
[2,1,6,7,3,4,5]=>[3,2,7,1,4,5,6]
[2,1,6,7,3,5,4]=>[3,2,7,1,4,6,5]
[2,1,6,7,4,3,5]=>[3,2,7,1,5,4,6]
[2,1,6,7,4,5,3]=>[3,2,7,1,5,6,4]
[2,1,6,7,5,3,4]=>[3,2,7,1,6,4,5]
[2,1,6,7,5,4,3]=>[3,2,7,1,6,5,4]
[2,1,7,3,4,5,6]=>[3,2,1,4,5,6,7]
[2,1,7,3,4,6,5]=>[3,2,1,4,5,7,6]
[2,1,7,3,5,4,6]=>[3,2,1,4,6,5,7]
[2,1,7,3,5,6,4]=>[3,2,1,4,6,7,5]
[2,1,7,3,6,4,5]=>[3,2,1,4,7,5,6]
[2,1,7,3,6,5,4]=>[3,2,1,4,7,6,5]
[2,1,7,4,3,5,6]=>[3,2,1,5,4,6,7]
[2,1,7,4,3,6,5]=>[3,2,1,5,4,7,6]
[2,1,7,4,5,3,6]=>[3,2,1,5,6,4,7]
[2,1,7,4,5,6,3]=>[3,2,1,5,6,7,4]
[2,1,7,4,6,3,5]=>[3,2,1,5,7,4,6]
[2,1,7,4,6,5,3]=>[3,2,1,5,7,6,4]
[2,1,7,5,3,4,6]=>[3,2,1,6,4,5,7]
[2,1,7,5,3,6,4]=>[3,2,1,6,4,7,5]
[2,1,7,5,4,3,6]=>[3,2,1,6,5,4,7]
[2,1,7,5,4,6,3]=>[3,2,1,6,5,7,4]
[2,1,7,5,6,3,4]=>[3,2,1,6,7,4,5]
[2,1,7,5,6,4,3]=>[3,2,1,6,7,5,4]
[2,1,7,6,3,4,5]=>[3,2,1,7,4,5,6]
[2,1,7,6,3,5,4]=>[3,2,1,7,4,6,5]
[2,1,7,6,4,3,5]=>[3,2,1,7,5,4,6]
[2,1,7,6,4,5,3]=>[3,2,1,7,5,6,4]
[2,1,7,6,5,3,4]=>[3,2,1,7,6,4,5]
[2,1,7,6,5,4,3]=>[3,2,1,7,6,5,4]
[2,3,1,4,5,6,7]=>[1,3,4,2,5,6,7]
[2,3,1,4,5,7,6]=>[3,4,2,5,6,1,7]
[2,3,1,4,6,5,7]=>[1,3,4,2,5,7,6]
[2,3,1,4,6,7,5]=>[3,4,2,5,7,1,6]
[2,3,1,4,7,5,6]=>[3,4,2,5,1,6,7]
[2,3,1,4,7,6,5]=>[3,4,2,5,1,7,6]
[2,3,1,5,4,6,7]=>[1,3,4,2,6,5,7]
[2,3,1,5,4,7,6]=>[3,4,2,6,5,1,7]
[2,3,1,5,6,4,7]=>[1,3,4,2,6,7,5]
[2,3,1,5,6,7,4]=>[3,4,2,6,7,1,5]
[2,3,1,5,7,4,6]=>[3,4,2,6,1,5,7]
[2,3,1,5,7,6,4]=>[3,4,2,6,1,7,5]
[2,3,1,6,4,5,7]=>[1,3,4,2,7,5,6]
[2,3,1,6,4,7,5]=>[3,4,2,7,5,1,6]
[2,3,1,6,5,4,7]=>[1,3,4,2,7,6,5]
[2,3,1,6,5,7,4]=>[3,4,2,7,6,1,5]
[2,3,1,6,7,4,5]=>[3,4,2,7,1,5,6]
[2,3,1,6,7,5,4]=>[3,4,2,7,1,6,5]
[2,3,1,7,4,5,6]=>[3,4,2,1,5,6,7]
[2,3,1,7,4,6,5]=>[3,4,2,1,5,7,6]
[2,3,1,7,5,4,6]=>[3,4,2,1,6,5,7]
[2,3,1,7,5,6,4]=>[3,4,2,1,6,7,5]
[2,3,1,7,6,4,5]=>[3,4,2,1,7,5,6]
[2,3,1,7,6,5,4]=>[3,4,2,1,7,6,5]
[2,3,4,1,5,6,7]=>[1,3,4,5,2,6,7]
[2,3,4,1,5,7,6]=>[3,4,5,2,6,1,7]
[2,3,4,1,6,5,7]=>[1,3,4,5,2,7,6]
[2,3,4,1,6,7,5]=>[3,4,5,2,7,1,6]
[2,3,4,1,7,5,6]=>[3,4,5,2,1,6,7]
[2,3,4,1,7,6,5]=>[3,4,5,2,1,7,6]
[2,3,4,5,1,6,7]=>[1,3,4,5,6,2,7]
[2,3,4,5,1,7,6]=>[3,4,5,6,2,1,7]
[2,3,4,5,6,1,7]=>[1,3,4,5,6,7,2]
[2,3,4,5,6,7,1]=>[3,4,5,6,7,1,2]
[2,3,4,5,7,1,6]=>[3,4,5,6,1,2,7]
[2,3,4,5,7,6,1]=>[3,4,5,6,1,7,2]
[2,3,4,6,1,5,7]=>[1,3,4,5,7,2,6]
[2,3,4,6,1,7,5]=>[3,4,5,7,2,1,6]
[2,3,4,6,5,1,7]=>[1,3,4,5,7,6,2]
[2,3,4,6,5,7,1]=>[3,4,5,7,6,1,2]
[2,3,4,6,7,1,5]=>[3,4,5,7,1,2,6]
[2,3,4,6,7,5,1]=>[3,4,5,7,1,6,2]
[2,3,4,7,1,5,6]=>[3,4,5,1,2,6,7]
[2,3,4,7,1,6,5]=>[3,4,5,1,2,7,6]
[2,3,4,7,5,1,6]=>[3,4,5,1,6,2,7]
[2,3,4,7,5,6,1]=>[3,4,5,1,6,7,2]
[2,3,4,7,6,1,5]=>[3,4,5,1,7,2,6]
[2,3,4,7,6,5,1]=>[3,4,5,1,7,6,2]
[2,3,5,1,4,6,7]=>[1,3,4,6,2,5,7]
[2,3,5,1,4,7,6]=>[3,4,6,2,5,1,7]
[2,3,5,1,6,4,7]=>[1,3,4,6,2,7,5]
[2,3,5,1,6,7,4]=>[3,4,6,2,7,1,5]
[2,3,5,1,7,4,6]=>[3,4,6,2,1,5,7]
[2,3,5,1,7,6,4]=>[3,4,6,2,1,7,5]
[2,3,5,4,1,6,7]=>[1,3,4,6,5,2,7]
[2,3,5,4,1,7,6]=>[3,4,6,5,2,1,7]
[2,3,5,4,6,1,7]=>[1,3,4,6,5,7,2]
[2,3,5,4,6,7,1]=>[3,4,6,5,7,1,2]
[2,3,5,4,7,1,6]=>[3,4,6,5,1,2,7]
[2,3,5,4,7,6,1]=>[3,4,6,5,1,7,2]
[2,3,5,6,1,4,7]=>[1,3,4,6,7,2,5]
[2,3,5,6,1,7,4]=>[3,4,6,7,2,1,5]
[2,3,5,6,4,1,7]=>[1,3,4,6,7,5,2]
[2,3,5,6,4,7,1]=>[3,4,6,7,5,1,2]
[2,3,5,6,7,1,4]=>[3,4,6,7,1,2,5]
[2,3,5,6,7,4,1]=>[3,4,6,7,1,5,2]
[2,3,5,7,1,4,6]=>[3,4,6,1,2,5,7]
[2,3,5,7,1,6,4]=>[3,4,6,1,2,7,5]
[2,3,5,7,4,1,6]=>[3,4,6,1,5,2,7]
[2,3,5,7,4,6,1]=>[3,4,6,1,5,7,2]
[2,3,5,7,6,1,4]=>[3,4,6,1,7,2,5]
[2,3,5,7,6,4,1]=>[3,4,6,1,7,5,2]
[2,3,6,1,4,5,7]=>[1,3,4,7,2,5,6]
[2,3,6,1,4,7,5]=>[3,4,7,2,5,1,6]
[2,3,6,1,5,4,7]=>[1,3,4,7,2,6,5]
[2,3,6,1,5,7,4]=>[3,4,7,2,6,1,5]
[2,3,6,1,7,4,5]=>[3,4,7,2,1,5,6]
[2,3,6,1,7,5,4]=>[3,4,7,2,1,6,5]
[2,3,6,4,1,5,7]=>[1,3,4,7,5,2,6]
[2,3,6,4,1,7,5]=>[3,4,7,5,2,1,6]
[2,3,6,4,5,1,7]=>[1,3,4,7,5,6,2]
[2,3,6,4,5,7,1]=>[3,4,7,5,6,1,2]
[2,3,6,4,7,1,5]=>[3,4,7,5,1,2,6]
[2,3,6,4,7,5,1]=>[3,4,7,5,1,6,2]
[2,3,6,5,1,4,7]=>[1,3,4,7,6,2,5]
[2,3,6,5,1,7,4]=>[3,4,7,6,2,1,5]
[2,3,6,5,4,1,7]=>[1,3,4,7,6,5,2]
[2,3,6,5,4,7,1]=>[3,4,7,6,5,1,2]
[2,3,6,5,7,1,4]=>[3,4,7,6,1,2,5]
[2,3,6,5,7,4,1]=>[3,4,7,6,1,5,2]
[2,3,6,7,1,4,5]=>[3,4,7,1,2,5,6]
[2,3,6,7,1,5,4]=>[3,4,7,1,2,6,5]
[2,3,6,7,4,1,5]=>[3,4,7,1,5,2,6]
[2,3,6,7,4,5,1]=>[3,4,7,1,5,6,2]
[2,3,6,7,5,1,4]=>[3,4,7,1,6,2,5]
[2,3,6,7,5,4,1]=>[3,4,7,1,6,5,2]
[2,3,7,1,4,5,6]=>[3,4,1,2,5,6,7]
[2,3,7,1,4,6,5]=>[3,4,1,2,5,7,6]
[2,3,7,1,5,4,6]=>[3,4,1,2,6,5,7]
[2,3,7,1,5,6,4]=>[3,4,1,2,6,7,5]
[2,3,7,1,6,4,5]=>[3,4,1,2,7,5,6]
[2,3,7,1,6,5,4]=>[3,4,1,2,7,6,5]
[2,3,7,4,1,5,6]=>[3,4,1,5,2,6,7]
[2,3,7,4,1,6,5]=>[3,4,1,5,2,7,6]
[2,3,7,4,5,1,6]=>[3,4,1,5,6,2,7]
[2,3,7,4,5,6,1]=>[3,4,1,5,6,7,2]
[2,3,7,4,6,1,5]=>[3,4,1,5,7,2,6]
[2,3,7,4,6,5,1]=>[3,4,1,5,7,6,2]
[2,3,7,5,1,4,6]=>[3,4,1,6,2,5,7]
[2,3,7,5,1,6,4]=>[3,4,1,6,2,7,5]
[2,3,7,5,4,1,6]=>[3,4,1,6,5,2,7]
[2,3,7,5,4,6,1]=>[3,4,1,6,5,7,2]
[2,3,7,5,6,1,4]=>[3,4,1,6,7,2,5]
[2,3,7,5,6,4,1]=>[3,4,1,6,7,5,2]
[2,3,7,6,1,4,5]=>[3,4,1,7,2,5,6]
[2,3,7,6,1,5,4]=>[3,4,1,7,2,6,5]
[2,3,7,6,4,1,5]=>[3,4,1,7,5,2,6]
[2,3,7,6,4,5,1]=>[3,4,1,7,5,6,2]
[2,3,7,6,5,1,4]=>[3,4,1,7,6,2,5]
[2,3,7,6,5,4,1]=>[3,4,1,7,6,5,2]
[2,4,1,3,5,6,7]=>[1,3,5,2,4,6,7]
[2,4,1,3,5,7,6]=>[3,5,2,4,6,1,7]
[2,4,1,3,6,5,7]=>[1,3,5,2,4,7,6]
[2,4,1,3,6,7,5]=>[3,5,2,4,7,1,6]
[2,4,1,3,7,5,6]=>[3,5,2,4,1,6,7]
[2,4,1,3,7,6,5]=>[3,5,2,4,1,7,6]
[2,4,1,5,3,6,7]=>[1,3,5,2,6,4,7]
[2,4,1,5,3,7,6]=>[3,5,2,6,4,1,7]
[2,4,1,5,6,3,7]=>[1,3,5,2,6,7,4]
[2,4,1,5,6,7,3]=>[3,5,2,6,7,1,4]
[2,4,1,5,7,3,6]=>[3,5,2,6,1,4,7]
[2,4,1,5,7,6,3]=>[3,5,2,6,1,7,4]
[2,4,1,6,3,5,7]=>[1,3,5,2,7,4,6]
[2,4,1,6,3,7,5]=>[3,5,2,7,4,1,6]
[2,4,1,6,5,3,7]=>[1,3,5,2,7,6,4]
[2,4,1,6,5,7,3]=>[3,5,2,7,6,1,4]
[2,4,1,6,7,3,5]=>[3,5,2,7,1,4,6]
[2,4,1,6,7,5,3]=>[3,5,2,7,1,6,4]
[2,4,1,7,3,5,6]=>[3,5,2,1,4,6,7]
[2,4,1,7,3,6,5]=>[3,5,2,1,4,7,6]
[2,4,1,7,5,3,6]=>[3,5,2,1,6,4,7]
[2,4,1,7,5,6,3]=>[3,5,2,1,6,7,4]
[2,4,1,7,6,3,5]=>[3,5,2,1,7,4,6]
[2,4,1,7,6,5,3]=>[3,5,2,1,7,6,4]
[2,4,3,1,5,6,7]=>[1,3,5,4,2,6,7]
[2,4,3,1,5,7,6]=>[3,5,4,2,6,1,7]
[2,4,3,1,6,5,7]=>[1,3,5,4,2,7,6]
[2,4,3,1,6,7,5]=>[3,5,4,2,7,1,6]
[2,4,3,1,7,5,6]=>[3,5,4,2,1,6,7]
[2,4,3,1,7,6,5]=>[3,5,4,2,1,7,6]
[2,4,3,5,1,6,7]=>[1,3,5,4,6,2,7]
[2,4,3,5,1,7,6]=>[3,5,4,6,2,1,7]
[2,4,3,5,6,1,7]=>[1,3,5,4,6,7,2]
[2,4,3,5,6,7,1]=>[3,5,4,6,7,1,2]
[2,4,3,5,7,1,6]=>[3,5,4,6,1,2,7]
[2,4,3,5,7,6,1]=>[3,5,4,6,1,7,2]
[2,4,3,6,1,5,7]=>[1,3,5,4,7,2,6]
[2,4,3,6,1,7,5]=>[3,5,4,7,2,1,6]
[2,4,3,6,5,1,7]=>[1,3,5,4,7,6,2]
[2,4,3,6,5,7,1]=>[3,5,4,7,6,1,2]
[2,4,3,6,7,1,5]=>[3,5,4,7,1,2,6]
[2,4,3,6,7,5,1]=>[3,5,4,7,1,6,2]
[2,4,3,7,1,5,6]=>[3,5,4,1,2,6,7]
[2,4,3,7,1,6,5]=>[3,5,4,1,2,7,6]
[2,4,3,7,5,1,6]=>[3,5,4,1,6,2,7]
[2,4,3,7,5,6,1]=>[3,5,4,1,6,7,2]
[2,4,3,7,6,1,5]=>[3,5,4,1,7,2,6]
[2,4,3,7,6,5,1]=>[3,5,4,1,7,6,2]
[2,4,5,1,3,6,7]=>[1,3,5,6,2,4,7]
[2,4,5,1,3,7,6]=>[3,5,6,2,4,1,7]
[2,4,5,1,6,3,7]=>[1,3,5,6,2,7,4]
[2,4,5,1,6,7,3]=>[3,5,6,2,7,1,4]
[2,4,5,1,7,3,6]=>[3,5,6,2,1,4,7]
[2,4,5,1,7,6,3]=>[3,5,6,2,1,7,4]
[2,4,5,3,1,6,7]=>[1,3,5,6,4,2,7]
[2,4,5,3,1,7,6]=>[3,5,6,4,2,1,7]
[2,4,5,3,6,1,7]=>[1,3,5,6,4,7,2]
[2,4,5,3,6,7,1]=>[3,5,6,4,7,1,2]
[2,4,5,3,7,1,6]=>[3,5,6,4,1,2,7]
[2,4,5,3,7,6,1]=>[3,5,6,4,1,7,2]
[2,4,5,6,1,3,7]=>[1,3,5,6,7,2,4]
[2,4,5,6,1,7,3]=>[3,5,6,7,2,1,4]
[2,4,5,6,3,1,7]=>[1,3,5,6,7,4,2]
[2,4,5,6,3,7,1]=>[3,5,6,7,4,1,2]
[2,4,5,6,7,1,3]=>[3,5,6,7,1,2,4]
[2,4,5,6,7,3,1]=>[3,5,6,7,1,4,2]
[2,4,5,7,1,3,6]=>[3,5,6,1,2,4,7]
[2,4,5,7,1,6,3]=>[3,5,6,1,2,7,4]
[2,4,5,7,3,1,6]=>[3,5,6,1,4,2,7]
[2,4,5,7,3,6,1]=>[3,5,6,1,4,7,2]
[2,4,5,7,6,1,3]=>[3,5,6,1,7,2,4]
[2,4,5,7,6,3,1]=>[3,5,6,1,7,4,2]
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]
[2,4,6,1,3,7,5]=>[3,5,7,2,4,1,6]
[2,4,6,1,5,3,7]=>[1,3,5,7,2,6,4]
[2,4,6,1,5,7,3]=>[3,5,7,2,6,1,4]
[2,4,6,1,7,3,5]=>[3,5,7,2,1,4,6]
[2,4,6,1,7,5,3]=>[3,5,7,2,1,6,4]
[2,4,6,3,1,5,7]=>[1,3,5,7,4,2,6]
[2,4,6,3,1,7,5]=>[3,5,7,4,2,1,6]
[2,4,6,3,5,1,7]=>[1,3,5,7,4,6,2]
[2,4,6,3,5,7,1]=>[3,5,7,4,6,1,2]
[2,4,6,3,7,1,5]=>[3,5,7,4,1,2,6]
[2,4,6,3,7,5,1]=>[3,5,7,4,1,6,2]
[2,4,6,5,1,3,7]=>[1,3,5,7,6,2,4]
[2,4,6,5,1,7,3]=>[3,5,7,6,2,1,4]
[2,4,6,5,3,1,7]=>[1,3,5,7,6,4,2]
[2,4,6,5,3,7,1]=>[3,5,7,6,4,1,2]
[2,4,6,5,7,1,3]=>[3,5,7,6,1,2,4]
[2,4,6,5,7,3,1]=>[3,5,7,6,1,4,2]
[2,4,6,7,1,3,5]=>[3,5,7,1,2,4,6]
[2,4,6,7,1,5,3]=>[3,5,7,1,2,6,4]
[2,4,6,7,3,1,5]=>[3,5,7,1,4,2,6]
[2,4,6,7,3,5,1]=>[3,5,7,1,4,6,2]
[2,4,6,7,5,1,3]=>[3,5,7,1,6,2,4]
[2,4,6,7,5,3,1]=>[3,5,7,1,6,4,2]
[2,4,7,1,3,5,6]=>[3,5,1,2,4,6,7]
[2,4,7,1,3,6,5]=>[3,5,1,2,4,7,6]
[2,4,7,1,5,3,6]=>[3,5,1,2,6,4,7]
[2,4,7,1,5,6,3]=>[3,5,1,2,6,7,4]
[2,4,7,1,6,3,5]=>[3,5,1,2,7,4,6]
[2,4,7,1,6,5,3]=>[3,5,1,2,7,6,4]
[2,4,7,3,1,5,6]=>[3,5,1,4,2,6,7]
[2,4,7,3,1,6,5]=>[3,5,1,4,2,7,6]
[2,4,7,3,5,1,6]=>[3,5,1,4,6,2,7]
[2,4,7,3,5,6,1]=>[3,5,1,4,6,7,2]
[2,4,7,3,6,1,5]=>[3,5,1,4,7,2,6]
[2,4,7,3,6,5,1]=>[3,5,1,4,7,6,2]
[2,4,7,5,1,3,6]=>[3,5,1,6,2,4,7]
[2,4,7,5,1,6,3]=>[3,5,1,6,2,7,4]
[2,4,7,5,3,1,6]=>[3,5,1,6,4,2,7]
[2,4,7,5,3,6,1]=>[3,5,1,6,4,7,2]
[2,4,7,5,6,1,3]=>[3,5,1,6,7,2,4]
[2,4,7,5,6,3,1]=>[3,5,1,6,7,4,2]
[2,4,7,6,1,3,5]=>[3,5,1,7,2,4,6]
[2,4,7,6,1,5,3]=>[3,5,1,7,2,6,4]
[2,4,7,6,3,1,5]=>[3,5,1,7,4,2,6]
[2,4,7,6,3,5,1]=>[3,5,1,7,4,6,2]
[2,4,7,6,5,1,3]=>[3,5,1,7,6,2,4]
[2,4,7,6,5,3,1]=>[3,5,1,7,6,4,2]
[2,5,1,3,4,6,7]=>[1,3,6,2,4,5,7]
[2,5,1,3,4,7,6]=>[3,6,2,4,5,1,7]
[2,5,1,3,6,4,7]=>[1,3,6,2,4,7,5]
[2,5,1,3,6,7,4]=>[3,6,2,4,7,1,5]
[2,5,1,3,7,4,6]=>[3,6,2,4,1,5,7]
[2,5,1,3,7,6,4]=>[3,6,2,4,1,7,5]
[2,5,1,4,3,6,7]=>[1,3,6,2,5,4,7]
[2,5,1,4,3,7,6]=>[3,6,2,5,4,1,7]
[2,5,1,4,6,3,7]=>[1,3,6,2,5,7,4]
[2,5,1,4,6,7,3]=>[3,6,2,5,7,1,4]
[2,5,1,4,7,3,6]=>[3,6,2,5,1,4,7]
[2,5,1,4,7,6,3]=>[3,6,2,5,1,7,4]
[2,5,1,6,3,4,7]=>[1,3,6,2,7,4,5]
[2,5,1,6,3,7,4]=>[3,6,2,7,4,1,5]
[2,5,1,6,4,3,7]=>[1,3,6,2,7,5,4]
[2,5,1,6,4,7,3]=>[3,6,2,7,5,1,4]
[2,5,1,6,7,3,4]=>[3,6,2,7,1,4,5]
[2,5,1,6,7,4,3]=>[3,6,2,7,1,5,4]
[2,5,1,7,3,4,6]=>[3,6,2,1,4,5,7]
[2,5,1,7,3,6,4]=>[3,6,2,1,4,7,5]
[2,5,1,7,4,3,6]=>[3,6,2,1,5,4,7]
[2,5,1,7,4,6,3]=>[3,6,2,1,5,7,4]
[2,5,1,7,6,3,4]=>[3,6,2,1,7,4,5]
[2,5,1,7,6,4,3]=>[3,6,2,1,7,5,4]
[2,5,3,1,4,6,7]=>[1,3,6,4,2,5,7]
[2,5,3,1,4,7,6]=>[3,6,4,2,5,1,7]
[2,5,3,1,6,4,7]=>[1,3,6,4,2,7,5]
[2,5,3,1,6,7,4]=>[3,6,4,2,7,1,5]
[2,5,3,1,7,4,6]=>[3,6,4,2,1,5,7]
[2,5,3,1,7,6,4]=>[3,6,4,2,1,7,5]
[2,5,3,4,1,6,7]=>[1,3,6,4,5,2,7]
[2,5,3,4,1,7,6]=>[3,6,4,5,2,1,7]
[2,5,3,4,6,1,7]=>[1,3,6,4,5,7,2]
[2,5,3,4,6,7,1]=>[3,6,4,5,7,1,2]
[2,5,3,4,7,1,6]=>[3,6,4,5,1,2,7]
[2,5,3,4,7,6,1]=>[3,6,4,5,1,7,2]
[2,5,3,6,1,4,7]=>[1,3,6,4,7,2,5]
[2,5,3,6,1,7,4]=>[3,6,4,7,2,1,5]
[2,5,3,6,4,1,7]=>[1,3,6,4,7,5,2]
[2,5,3,6,4,7,1]=>[3,6,4,7,5,1,2]
[2,5,3,6,7,1,4]=>[3,6,4,7,1,2,5]
[2,5,3,6,7,4,1]=>[3,6,4,7,1,5,2]
[2,5,3,7,1,4,6]=>[3,6,4,1,2,5,7]
[2,5,3,7,1,6,4]=>[3,6,4,1,2,7,5]
[2,5,3,7,4,1,6]=>[3,6,4,1,5,2,7]
[2,5,3,7,4,6,1]=>[3,6,4,1,5,7,2]
[2,5,3,7,6,1,4]=>[3,6,4,1,7,2,5]
[2,5,3,7,6,4,1]=>[3,6,4,1,7,5,2]
[2,5,4,1,3,6,7]=>[1,3,6,5,2,4,7]
[2,5,4,1,3,7,6]=>[3,6,5,2,4,1,7]
[2,5,4,1,6,3,7]=>[1,3,6,5,2,7,4]
[2,5,4,1,6,7,3]=>[3,6,5,2,7,1,4]
[2,5,4,1,7,3,6]=>[3,6,5,2,1,4,7]
[2,5,4,1,7,6,3]=>[3,6,5,2,1,7,4]
[2,5,4,3,1,6,7]=>[1,3,6,5,4,2,7]
[2,5,4,3,1,7,6]=>[3,6,5,4,2,1,7]
[2,5,4,3,6,1,7]=>[1,3,6,5,4,7,2]
[2,5,4,3,6,7,1]=>[3,6,5,4,7,1,2]
[2,5,4,3,7,1,6]=>[3,6,5,4,1,2,7]
[2,5,4,3,7,6,1]=>[3,6,5,4,1,7,2]
[2,5,4,6,1,3,7]=>[1,3,6,5,7,2,4]
[2,5,4,6,1,7,3]=>[3,6,5,7,2,1,4]
[2,5,4,6,3,1,7]=>[1,3,6,5,7,4,2]
[2,5,4,6,3,7,1]=>[3,6,5,7,4,1,2]
[2,5,4,6,7,1,3]=>[3,6,5,7,1,2,4]
[2,5,4,6,7,3,1]=>[3,6,5,7,1,4,2]
[2,5,4,7,1,3,6]=>[3,6,5,1,2,4,7]
[2,5,4,7,1,6,3]=>[3,6,5,1,2,7,4]
[2,5,4,7,3,1,6]=>[3,6,5,1,4,2,7]
[2,5,4,7,3,6,1]=>[3,6,5,1,4,7,2]
[2,5,4,7,6,1,3]=>[3,6,5,1,7,2,4]
[2,5,4,7,6,3,1]=>[3,6,5,1,7,4,2]
[2,5,6,1,3,4,7]=>[1,3,6,7,2,4,5]
[2,5,6,1,3,7,4]=>[3,6,7,2,4,1,5]
[2,5,6,1,4,3,7]=>[1,3,6,7,2,5,4]
[2,5,6,1,4,7,3]=>[3,6,7,2,5,1,4]
[2,5,6,1,7,3,4]=>[3,6,7,2,1,4,5]
[2,5,6,1,7,4,3]=>[3,6,7,2,1,5,4]
[2,5,6,3,1,4,7]=>[1,3,6,7,4,2,5]
[2,5,6,3,1,7,4]=>[3,6,7,4,2,1,5]
[2,5,6,3,4,1,7]=>[1,3,6,7,4,5,2]
[2,5,6,3,4,7,1]=>[3,6,7,4,5,1,2]
[2,5,6,3,7,1,4]=>[3,6,7,4,1,2,5]
[2,5,6,3,7,4,1]=>[3,6,7,4,1,5,2]
[2,5,6,4,1,3,7]=>[1,3,6,7,5,2,4]
[2,5,6,4,1,7,3]=>[3,6,7,5,2,1,4]
[2,5,6,4,3,1,7]=>[1,3,6,7,5,4,2]
[2,5,6,4,3,7,1]=>[3,6,7,5,4,1,2]
[2,5,6,4,7,1,3]=>[3,6,7,5,1,2,4]
[2,5,6,4,7,3,1]=>[3,6,7,5,1,4,2]
[2,5,6,7,1,3,4]=>[3,6,7,1,2,4,5]
[2,5,6,7,1,4,3]=>[3,6,7,1,2,5,4]
[2,5,6,7,3,1,4]=>[3,6,7,1,4,2,5]
[2,5,6,7,3,4,1]=>[3,6,7,1,4,5,2]
[2,5,6,7,4,1,3]=>[3,6,7,1,5,2,4]
[2,5,6,7,4,3,1]=>[3,6,7,1,5,4,2]
[2,5,7,1,3,4,6]=>[3,6,1,2,4,5,7]
[2,5,7,1,3,6,4]=>[3,6,1,2,4,7,5]
[2,5,7,1,4,3,6]=>[3,6,1,2,5,4,7]
[2,5,7,1,4,6,3]=>[3,6,1,2,5,7,4]
[2,5,7,1,6,3,4]=>[3,6,1,2,7,4,5]
[2,5,7,1,6,4,3]=>[3,6,1,2,7,5,4]
[2,5,7,3,1,4,6]=>[3,6,1,4,2,5,7]
[2,5,7,3,1,6,4]=>[3,6,1,4,2,7,5]
[2,5,7,3,4,1,6]=>[3,6,1,4,5,2,7]
[2,5,7,3,4,6,1]=>[3,6,1,4,5,7,2]
[2,5,7,3,6,1,4]=>[3,6,1,4,7,2,5]
[2,5,7,3,6,4,1]=>[3,6,1,4,7,5,2]
[2,5,7,4,1,3,6]=>[3,6,1,5,2,4,7]
[2,5,7,4,1,6,3]=>[3,6,1,5,2,7,4]
[2,5,7,4,3,1,6]=>[3,6,1,5,4,2,7]
[2,5,7,4,3,6,1]=>[3,6,1,5,4,7,2]
[2,5,7,4,6,1,3]=>[3,6,1,5,7,2,4]
[2,5,7,4,6,3,1]=>[3,6,1,5,7,4,2]
[2,5,7,6,1,3,4]=>[3,6,1,7,2,4,5]
[2,5,7,6,1,4,3]=>[3,6,1,7,2,5,4]
[2,5,7,6,3,1,4]=>[3,6,1,7,4,2,5]
[2,5,7,6,3,4,1]=>[3,6,1,7,4,5,2]
[2,5,7,6,4,1,3]=>[3,6,1,7,5,2,4]
[2,5,7,6,4,3,1]=>[3,6,1,7,5,4,2]
[2,6,1,3,4,5,7]=>[1,3,7,2,4,5,6]
[2,6,1,3,4,7,5]=>[3,7,2,4,5,1,6]
[2,6,1,3,5,4,7]=>[1,3,7,2,4,6,5]
[2,6,1,3,5,7,4]=>[3,7,2,4,6,1,5]
[2,6,1,3,7,4,5]=>[3,7,2,4,1,5,6]
[2,6,1,3,7,5,4]=>[3,7,2,4,1,6,5]
[2,6,1,4,3,5,7]=>[1,3,7,2,5,4,6]
[2,6,1,4,3,7,5]=>[3,7,2,5,4,1,6]
[2,6,1,4,5,3,7]=>[1,3,7,2,5,6,4]
[2,6,1,4,5,7,3]=>[3,7,2,5,6,1,4]
[2,6,1,4,7,3,5]=>[3,7,2,5,1,4,6]
[2,6,1,4,7,5,3]=>[3,7,2,5,1,6,4]
[2,6,1,5,3,4,7]=>[1,3,7,2,6,4,5]
[2,6,1,5,3,7,4]=>[3,7,2,6,4,1,5]
[2,6,1,5,4,3,7]=>[1,3,7,2,6,5,4]
[2,6,1,5,4,7,3]=>[3,7,2,6,5,1,4]
[2,6,1,5,7,3,4]=>[3,7,2,6,1,4,5]
[2,6,1,5,7,4,3]=>[3,7,2,6,1,5,4]
[2,6,1,7,3,4,5]=>[3,7,2,1,4,5,6]
[2,6,1,7,3,5,4]=>[3,7,2,1,4,6,5]
[2,6,1,7,4,3,5]=>[3,7,2,1,5,4,6]
[2,6,1,7,4,5,3]=>[3,7,2,1,5,6,4]
[2,6,1,7,5,3,4]=>[3,7,2,1,6,4,5]
[2,6,1,7,5,4,3]=>[3,7,2,1,6,5,4]
[2,6,3,1,4,5,7]=>[1,3,7,4,2,5,6]
[2,6,3,1,4,7,5]=>[3,7,4,2,5,1,6]
[2,6,3,1,5,4,7]=>[1,3,7,4,2,6,5]
[2,6,3,1,5,7,4]=>[3,7,4,2,6,1,5]
[2,6,3,1,7,4,5]=>[3,7,4,2,1,5,6]
[2,6,3,1,7,5,4]=>[3,7,4,2,1,6,5]
[2,6,3,4,1,5,7]=>[1,3,7,4,5,2,6]
[2,6,3,4,1,7,5]=>[3,7,4,5,2,1,6]
[2,6,3,4,5,1,7]=>[1,3,7,4,5,6,2]
[2,6,3,4,5,7,1]=>[3,7,4,5,6,1,2]
[2,6,3,4,7,1,5]=>[3,7,4,5,1,2,6]
[2,6,3,4,7,5,1]=>[3,7,4,5,1,6,2]
[2,6,3,5,1,4,7]=>[1,3,7,4,6,2,5]
[2,6,3,5,1,7,4]=>[3,7,4,6,2,1,5]
[2,6,3,5,4,1,7]=>[1,3,7,4,6,5,2]
[2,6,3,5,4,7,1]=>[3,7,4,6,5,1,2]
[2,6,3,5,7,1,4]=>[3,7,4,6,1,2,5]
[2,6,3,5,7,4,1]=>[3,7,4,6,1,5,2]
[2,6,3,7,1,4,5]=>[3,7,4,1,2,5,6]
[2,6,3,7,1,5,4]=>[3,7,4,1,2,6,5]
[2,6,3,7,4,1,5]=>[3,7,4,1,5,2,6]
[2,6,3,7,4,5,1]=>[3,7,4,1,5,6,2]
[2,6,3,7,5,1,4]=>[3,7,4,1,6,2,5]
[2,6,3,7,5,4,1]=>[3,7,4,1,6,5,2]
[2,6,4,1,3,5,7]=>[1,3,7,5,2,4,6]
[2,6,4,1,3,7,5]=>[3,7,5,2,4,1,6]
[2,6,4,1,5,3,7]=>[1,3,7,5,2,6,4]
[2,6,4,1,5,7,3]=>[3,7,5,2,6,1,4]
[2,6,4,1,7,3,5]=>[3,7,5,2,1,4,6]
[2,6,4,1,7,5,3]=>[3,7,5,2,1,6,4]
[2,6,4,3,1,5,7]=>[1,3,7,5,4,2,6]
[2,6,4,3,1,7,5]=>[3,7,5,4,2,1,6]
[2,6,4,3,5,1,7]=>[1,3,7,5,4,6,2]
[2,6,4,3,5,7,1]=>[3,7,5,4,6,1,2]
[2,6,4,3,7,1,5]=>[3,7,5,4,1,2,6]
[2,6,4,3,7,5,1]=>[3,7,5,4,1,6,2]
[2,6,4,5,1,3,7]=>[1,3,7,5,6,2,4]
[2,6,4,5,1,7,3]=>[3,7,5,6,2,1,4]
[2,6,4,5,3,1,7]=>[1,3,7,5,6,4,2]
[2,6,4,5,3,7,1]=>[3,7,5,6,4,1,2]
[2,6,4,5,7,1,3]=>[3,7,5,6,1,2,4]
[2,6,4,5,7,3,1]=>[3,7,5,6,1,4,2]
[2,6,4,7,1,3,5]=>[3,7,5,1,2,4,6]
[2,6,4,7,1,5,3]=>[3,7,5,1,2,6,4]
[2,6,4,7,3,1,5]=>[3,7,5,1,4,2,6]
[2,6,4,7,3,5,1]=>[3,7,5,1,4,6,2]
[2,6,4,7,5,1,3]=>[3,7,5,1,6,2,4]
[2,6,4,7,5,3,1]=>[3,7,5,1,6,4,2]
[2,6,5,1,3,4,7]=>[1,3,7,6,2,4,5]
[2,6,5,1,3,7,4]=>[3,7,6,2,4,1,5]
[2,6,5,1,4,3,7]=>[1,3,7,6,2,5,4]
[2,6,5,1,4,7,3]=>[3,7,6,2,5,1,4]
[2,6,5,1,7,3,4]=>[3,7,6,2,1,4,5]
[2,6,5,1,7,4,3]=>[3,7,6,2,1,5,4]
[2,6,5,3,1,4,7]=>[1,3,7,6,4,2,5]
[2,6,5,3,1,7,4]=>[3,7,6,4,2,1,5]
[2,6,5,3,4,1,7]=>[1,3,7,6,4,5,2]
[2,6,5,3,4,7,1]=>[3,7,6,4,5,1,2]
[2,6,5,3,7,1,4]=>[3,7,6,4,1,2,5]
[2,6,5,3,7,4,1]=>[3,7,6,4,1,5,2]
[2,6,5,4,1,3,7]=>[1,3,7,6,5,2,4]
[2,6,5,4,1,7,3]=>[3,7,6,5,2,1,4]
[2,6,5,4,3,1,7]=>[1,3,7,6,5,4,2]
[2,6,5,4,3,7,1]=>[3,7,6,5,4,1,2]
[2,6,5,4,7,1,3]=>[3,7,6,5,1,2,4]
[2,6,5,4,7,3,1]=>[3,7,6,5,1,4,2]
[2,6,5,7,1,3,4]=>[3,7,6,1,2,4,5]
[2,6,5,7,1,4,3]=>[3,7,6,1,2,5,4]
[2,6,5,7,3,1,4]=>[3,7,6,1,4,2,5]
[2,6,5,7,3,4,1]=>[3,7,6,1,4,5,2]
[2,6,5,7,4,1,3]=>[3,7,6,1,5,2,4]
[2,6,5,7,4,3,1]=>[3,7,6,1,5,4,2]
[2,6,7,1,3,4,5]=>[3,7,1,2,4,5,6]
[2,6,7,1,3,5,4]=>[3,7,1,2,4,6,5]
[2,6,7,1,4,3,5]=>[3,7,1,2,5,4,6]
[2,6,7,1,4,5,3]=>[3,7,1,2,5,6,4]
[2,6,7,1,5,3,4]=>[3,7,1,2,6,4,5]
[2,6,7,1,5,4,3]=>[3,7,1,2,6,5,4]
[2,6,7,3,1,4,5]=>[3,7,1,4,2,5,6]
[2,6,7,3,1,5,4]=>[3,7,1,4,2,6,5]
[2,6,7,3,4,1,5]=>[3,7,1,4,5,2,6]
[2,6,7,3,4,5,1]=>[3,7,1,4,5,6,2]
[2,6,7,3,5,1,4]=>[3,7,1,4,6,2,5]
[2,6,7,3,5,4,1]=>[3,7,1,4,6,5,2]
[2,6,7,4,1,3,5]=>[3,7,1,5,2,4,6]
[2,6,7,4,1,5,3]=>[3,7,1,5,2,6,4]
[2,6,7,4,3,1,5]=>[3,7,1,5,4,2,6]
[2,6,7,4,3,5,1]=>[3,7,1,5,4,6,2]
[2,6,7,4,5,1,3]=>[3,7,1,5,6,2,4]
[2,6,7,4,5,3,1]=>[3,7,1,5,6,4,2]
[2,6,7,5,1,3,4]=>[3,7,1,6,2,4,5]
[2,6,7,5,1,4,3]=>[3,7,1,6,2,5,4]
[2,6,7,5,3,1,4]=>[3,7,1,6,4,2,5]
[2,6,7,5,3,4,1]=>[3,7,1,6,4,5,2]
[2,6,7,5,4,1,3]=>[3,7,1,6,5,2,4]
[2,6,7,5,4,3,1]=>[3,7,1,6,5,4,2]
[2,7,1,3,4,5,6]=>[3,1,2,4,5,6,7]
[2,7,1,3,4,6,5]=>[3,1,2,4,5,7,6]
[2,7,1,3,5,4,6]=>[3,1,2,4,6,5,7]
[2,7,1,3,5,6,4]=>[3,1,2,4,6,7,5]
[2,7,1,3,6,4,5]=>[3,1,2,4,7,5,6]
[2,7,1,3,6,5,4]=>[3,1,2,4,7,6,5]
[2,7,1,4,3,5,6]=>[3,1,2,5,4,6,7]
[2,7,1,4,3,6,5]=>[3,1,2,5,4,7,6]
[2,7,1,4,5,3,6]=>[3,1,2,5,6,4,7]
[2,7,1,4,5,6,3]=>[3,1,2,5,6,7,4]
[2,7,1,4,6,3,5]=>[3,1,2,5,7,4,6]
[2,7,1,4,6,5,3]=>[3,1,2,5,7,6,4]
[2,7,1,5,3,4,6]=>[3,1,2,6,4,5,7]
[2,7,1,5,3,6,4]=>[3,1,2,6,4,7,5]
[2,7,1,5,4,3,6]=>[3,1,2,6,5,4,7]
[2,7,1,5,4,6,3]=>[3,1,2,6,5,7,4]
[2,7,1,5,6,3,4]=>[3,1,2,6,7,4,5]
[2,7,1,5,6,4,3]=>[3,1,2,6,7,5,4]
[2,7,1,6,3,4,5]=>[3,1,2,7,4,5,6]
[2,7,1,6,3,5,4]=>[3,1,2,7,4,6,5]
[2,7,1,6,4,3,5]=>[3,1,2,7,5,4,6]
[2,7,1,6,4,5,3]=>[3,1,2,7,5,6,4]
[2,7,1,6,5,3,4]=>[3,1,2,7,6,4,5]
[2,7,1,6,5,4,3]=>[3,1,2,7,6,5,4]
[2,7,3,1,4,5,6]=>[3,1,4,2,5,6,7]
[2,7,3,1,4,6,5]=>[3,1,4,2,5,7,6]
[2,7,3,1,5,4,6]=>[3,1,4,2,6,5,7]
[2,7,3,1,5,6,4]=>[3,1,4,2,6,7,5]
[2,7,3,1,6,4,5]=>[3,1,4,2,7,5,6]
[2,7,3,1,6,5,4]=>[3,1,4,2,7,6,5]
[2,7,3,4,1,5,6]=>[3,1,4,5,2,6,7]
[2,7,3,4,1,6,5]=>[3,1,4,5,2,7,6]
[2,7,3,4,5,1,6]=>[3,1,4,5,6,2,7]
[2,7,3,4,5,6,1]=>[3,1,4,5,6,7,2]
[2,7,3,4,6,1,5]=>[3,1,4,5,7,2,6]
[2,7,3,4,6,5,1]=>[3,1,4,5,7,6,2]
[2,7,3,5,1,4,6]=>[3,1,4,6,2,5,7]
[2,7,3,5,1,6,4]=>[3,1,4,6,2,7,5]
[2,7,3,5,4,1,6]=>[3,1,4,6,5,2,7]
[2,7,3,5,4,6,1]=>[3,1,4,6,5,7,2]
[2,7,3,5,6,1,4]=>[3,1,4,6,7,2,5]
[2,7,3,5,6,4,1]=>[3,1,4,6,7,5,2]
[2,7,3,6,1,4,5]=>[3,1,4,7,2,5,6]
[2,7,3,6,1,5,4]=>[3,1,4,7,2,6,5]
[2,7,3,6,4,1,5]=>[3,1,4,7,5,2,6]
[2,7,3,6,4,5,1]=>[3,1,4,7,5,6,2]
[2,7,3,6,5,1,4]=>[3,1,4,7,6,2,5]
[2,7,3,6,5,4,1]=>[3,1,4,7,6,5,2]
[2,7,4,1,3,5,6]=>[3,1,5,2,4,6,7]
[2,7,4,1,3,6,5]=>[3,1,5,2,4,7,6]
[2,7,4,1,5,3,6]=>[3,1,5,2,6,4,7]
[2,7,4,1,5,6,3]=>[3,1,5,2,6,7,4]
[2,7,4,1,6,3,5]=>[3,1,5,2,7,4,6]
[2,7,4,1,6,5,3]=>[3,1,5,2,7,6,4]
[2,7,4,3,1,5,6]=>[3,1,5,4,2,6,7]
[2,7,4,3,1,6,5]=>[3,1,5,4,2,7,6]
[2,7,4,3,5,1,6]=>[3,1,5,4,6,2,7]
[2,7,4,3,5,6,1]=>[3,1,5,4,6,7,2]
[2,7,4,3,6,1,5]=>[3,1,5,4,7,2,6]
[2,7,4,3,6,5,1]=>[3,1,5,4,7,6,2]
[2,7,4,5,1,3,6]=>[3,1,5,6,2,4,7]
[2,7,4,5,1,6,3]=>[3,1,5,6,2,7,4]
[2,7,4,5,3,1,6]=>[3,1,5,6,4,2,7]
[2,7,4,5,3,6,1]=>[3,1,5,6,4,7,2]
[2,7,4,5,6,1,3]=>[3,1,5,6,7,2,4]
[2,7,4,5,6,3,1]=>[3,1,5,6,7,4,2]
[2,7,4,6,1,3,5]=>[3,1,5,7,2,4,6]
[2,7,4,6,1,5,3]=>[3,1,5,7,2,6,4]
[2,7,4,6,3,1,5]=>[3,1,5,7,4,2,6]
[2,7,4,6,3,5,1]=>[3,1,5,7,4,6,2]
[2,7,4,6,5,1,3]=>[3,1,5,7,6,2,4]
[2,7,4,6,5,3,1]=>[3,1,5,7,6,4,2]
[2,7,5,1,3,4,6]=>[3,1,6,2,4,5,7]
[2,7,5,1,3,6,4]=>[3,1,6,2,4,7,5]
[2,7,5,1,4,3,6]=>[3,1,6,2,5,4,7]
[2,7,5,1,4,6,3]=>[3,1,6,2,5,7,4]
[2,7,5,1,6,3,4]=>[3,1,6,2,7,4,5]
[2,7,5,1,6,4,3]=>[3,1,6,2,7,5,4]
[2,7,5,3,1,4,6]=>[3,1,6,4,2,5,7]
[2,7,5,3,1,6,4]=>[3,1,6,4,2,7,5]
[2,7,5,3,4,1,6]=>[3,1,6,4,5,2,7]
[2,7,5,3,4,6,1]=>[3,1,6,4,5,7,2]
[2,7,5,3,6,1,4]=>[3,1,6,4,7,2,5]
[2,7,5,3,6,4,1]=>[3,1,6,4,7,5,2]
[2,7,5,4,1,3,6]=>[3,1,6,5,2,4,7]
[2,7,5,4,1,6,3]=>[3,1,6,5,2,7,4]
[2,7,5,4,3,1,6]=>[3,1,6,5,4,2,7]
[2,7,5,4,3,6,1]=>[3,1,6,5,4,7,2]
[2,7,5,4,6,1,3]=>[3,1,6,5,7,2,4]
[2,7,5,4,6,3,1]=>[3,1,6,5,7,4,2]
[2,7,5,6,1,3,4]=>[3,1,6,7,2,4,5]
[2,7,5,6,1,4,3]=>[3,1,6,7,2,5,4]
[2,7,5,6,3,1,4]=>[3,1,6,7,4,2,5]
[2,7,5,6,3,4,1]=>[3,1,6,7,4,5,2]
[2,7,5,6,4,1,3]=>[3,1,6,7,5,2,4]
[2,7,5,6,4,3,1]=>[3,1,6,7,5,4,2]
[2,7,6,1,3,4,5]=>[3,1,7,2,4,5,6]
[2,7,6,1,3,5,4]=>[3,1,7,2,4,6,5]
[2,7,6,1,4,3,5]=>[3,1,7,2,5,4,6]
[2,7,6,1,4,5,3]=>[3,1,7,2,5,6,4]
[2,7,6,1,5,3,4]=>[3,1,7,2,6,4,5]
[2,7,6,1,5,4,3]=>[3,1,7,2,6,5,4]
[2,7,6,3,1,4,5]=>[3,1,7,4,2,5,6]
[2,7,6,3,1,5,4]=>[3,1,7,4,2,6,5]
[2,7,6,3,4,1,5]=>[3,1,7,4,5,2,6]
[2,7,6,3,4,5,1]=>[3,1,7,4,5,6,2]
[2,7,6,3,5,1,4]=>[3,1,7,4,6,2,5]
[2,7,6,3,5,4,1]=>[3,1,7,4,6,5,2]
[2,7,6,4,1,3,5]=>[3,1,7,5,2,4,6]
[2,7,6,4,1,5,3]=>[3,1,7,5,2,6,4]
[2,7,6,4,3,1,5]=>[3,1,7,5,4,2,6]
[2,7,6,4,3,5,1]=>[3,1,7,5,4,6,2]
[2,7,6,4,5,1,3]=>[3,1,7,5,6,2,4]
[2,7,6,4,5,3,1]=>[3,1,7,5,6,4,2]
[2,7,6,5,1,3,4]=>[3,1,7,6,2,4,5]
[2,7,6,5,1,4,3]=>[3,1,7,6,2,5,4]
[2,7,6,5,3,1,4]=>[3,1,7,6,4,2,5]
[2,7,6,5,3,4,1]=>[3,1,7,6,4,5,2]
[2,7,6,5,4,1,3]=>[3,1,7,6,5,2,4]
[2,7,6,5,4,3,1]=>[3,1,7,6,5,4,2]
[3,1,2,4,5,6,7]=>[1,4,2,3,5,6,7]
[3,1,2,4,5,7,6]=>[4,2,3,5,6,1,7]
[3,1,2,4,6,5,7]=>[1,4,2,3,5,7,6]
[3,1,2,4,6,7,5]=>[4,2,3,5,7,1,6]
[3,1,2,4,7,5,6]=>[4,2,3,5,1,6,7]
[3,1,2,4,7,6,5]=>[4,2,3,5,1,7,6]
[3,1,2,5,4,6,7]=>[1,4,2,3,6,5,7]
[3,1,2,5,4,7,6]=>[4,2,3,6,5,1,7]
[3,1,2,5,6,4,7]=>[1,4,2,3,6,7,5]
[3,1,2,5,6,7,4]=>[4,2,3,6,7,1,5]
[3,1,2,5,7,4,6]=>[4,2,3,6,1,5,7]
[3,1,2,5,7,6,4]=>[4,2,3,6,1,7,5]
[3,1,2,6,4,5,7]=>[1,4,2,3,7,5,6]
[3,1,2,6,4,7,5]=>[4,2,3,7,5,1,6]
[3,1,2,6,5,4,7]=>[1,4,2,3,7,6,5]
[3,1,2,6,5,7,4]=>[4,2,3,7,6,1,5]
[3,1,2,6,7,4,5]=>[4,2,3,7,1,5,6]
[3,1,2,6,7,5,4]=>[4,2,3,7,1,6,5]
[3,1,2,7,4,5,6]=>[4,2,3,1,5,6,7]
[3,1,2,7,4,6,5]=>[4,2,3,1,5,7,6]
[3,1,2,7,5,4,6]=>[4,2,3,1,6,5,7]
[3,1,2,7,5,6,4]=>[4,2,3,1,6,7,5]
[3,1,2,7,6,4,5]=>[4,2,3,1,7,5,6]
[3,1,2,7,6,5,4]=>[4,2,3,1,7,6,5]
[3,1,4,2,5,6,7]=>[1,4,2,5,3,6,7]
[3,1,4,2,5,7,6]=>[4,2,5,3,6,1,7]
[3,1,4,2,6,5,7]=>[1,4,2,5,3,7,6]
[3,1,4,2,6,7,5]=>[4,2,5,3,7,1,6]
[3,1,4,2,7,5,6]=>[4,2,5,3,1,6,7]
[3,1,4,2,7,6,5]=>[4,2,5,3,1,7,6]
[3,1,4,5,2,6,7]=>[1,4,2,5,6,3,7]
[3,1,4,5,2,7,6]=>[4,2,5,6,3,1,7]
[3,1,4,5,6,2,7]=>[1,4,2,5,6,7,3]
[3,1,4,5,6,7,2]=>[4,2,5,6,7,1,3]
[3,1,4,5,7,2,6]=>[4,2,5,6,1,3,7]
[3,1,4,5,7,6,2]=>[4,2,5,6,1,7,3]
[3,1,4,6,2,5,7]=>[1,4,2,5,7,3,6]
[3,1,4,6,2,7,5]=>[4,2,5,7,3,1,6]
[3,1,4,6,5,2,7]=>[1,4,2,5,7,6,3]
[3,1,4,6,5,7,2]=>[4,2,5,7,6,1,3]
[3,1,4,6,7,2,5]=>[4,2,5,7,1,3,6]
[3,1,4,6,7,5,2]=>[4,2,5,7,1,6,3]
[3,1,4,7,2,5,6]=>[4,2,5,1,3,6,7]
[3,1,4,7,2,6,5]=>[4,2,5,1,3,7,6]
[3,1,4,7,5,2,6]=>[4,2,5,1,6,3,7]
[3,1,4,7,5,6,2]=>[4,2,5,1,6,7,3]
[3,1,4,7,6,2,5]=>[4,2,5,1,7,3,6]
[3,1,4,7,6,5,2]=>[4,2,5,1,7,6,3]
[3,1,5,2,4,6,7]=>[1,4,2,6,3,5,7]
[3,1,5,2,4,7,6]=>[4,2,6,3,5,1,7]
[3,1,5,2,6,4,7]=>[1,4,2,6,3,7,5]
[3,1,5,2,6,7,4]=>[4,2,6,3,7,1,5]
[3,1,5,2,7,4,6]=>[4,2,6,3,1,5,7]
[3,1,5,2,7,6,4]=>[4,2,6,3,1,7,5]
[3,1,5,4,2,6,7]=>[1,4,2,6,5,3,7]
[3,1,5,4,2,7,6]=>[4,2,6,5,3,1,7]
[3,1,5,4,6,2,7]=>[1,4,2,6,5,7,3]
[3,1,5,4,6,7,2]=>[4,2,6,5,7,1,3]
[3,1,5,4,7,2,6]=>[4,2,6,5,1,3,7]
[3,1,5,4,7,6,2]=>[4,2,6,5,1,7,3]
[3,1,5,6,2,4,7]=>[1,4,2,6,7,3,5]
[3,1,5,6,2,7,4]=>[4,2,6,7,3,1,5]
[3,1,5,6,4,2,7]=>[1,4,2,6,7,5,3]
[3,1,5,6,4,7,2]=>[4,2,6,7,5,1,3]
[3,1,5,6,7,2,4]=>[4,2,6,7,1,3,5]
[3,1,5,6,7,4,2]=>[4,2,6,7,1,5,3]
[3,1,5,7,2,4,6]=>[4,2,6,1,3,5,7]
[3,1,5,7,2,6,4]=>[4,2,6,1,3,7,5]
[3,1,5,7,4,2,6]=>[4,2,6,1,5,3,7]
[3,1,5,7,4,6,2]=>[4,2,6,1,5,7,3]
[3,1,5,7,6,2,4]=>[4,2,6,1,7,3,5]
[3,1,5,7,6,4,2]=>[4,2,6,1,7,5,3]
[3,1,6,2,4,5,7]=>[1,4,2,7,3,5,6]
[3,1,6,2,4,7,5]=>[4,2,7,3,5,1,6]
[3,1,6,2,5,4,7]=>[1,4,2,7,3,6,5]
[3,1,6,2,5,7,4]=>[4,2,7,3,6,1,5]
[3,1,6,2,7,4,5]=>[4,2,7,3,1,5,6]
[3,1,6,2,7,5,4]=>[4,2,7,3,1,6,5]
[3,1,6,4,2,5,7]=>[1,4,2,7,5,3,6]
[3,1,6,4,2,7,5]=>[4,2,7,5,3,1,6]
[3,1,6,4,5,2,7]=>[1,4,2,7,5,6,3]
[3,1,6,4,5,7,2]=>[4,2,7,5,6,1,3]
[3,1,6,4,7,2,5]=>[4,2,7,5,1,3,6]
[3,1,6,4,7,5,2]=>[4,2,7,5,1,6,3]
[3,1,6,5,2,4,7]=>[1,4,2,7,6,3,5]
[3,1,6,5,2,7,4]=>[4,2,7,6,3,1,5]
[3,1,6,5,4,2,7]=>[1,4,2,7,6,5,3]
[3,1,6,5,4,7,2]=>[4,2,7,6,5,1,3]
[3,1,6,5,7,2,4]=>[4,2,7,6,1,3,5]
[3,1,6,5,7,4,2]=>[4,2,7,6,1,5,3]
[3,1,6,7,2,4,5]=>[4,2,7,1,3,5,6]
[3,1,6,7,2,5,4]=>[4,2,7,1,3,6,5]
[3,1,6,7,4,2,5]=>[4,2,7,1,5,3,6]
[3,1,6,7,4,5,2]=>[4,2,7,1,5,6,3]
[3,1,6,7,5,2,4]=>[4,2,7,1,6,3,5]
[3,1,6,7,5,4,2]=>[4,2,7,1,6,5,3]
[3,1,7,2,4,5,6]=>[4,2,1,3,5,6,7]
[3,1,7,2,4,6,5]=>[4,2,1,3,5,7,6]
[3,1,7,2,5,4,6]=>[4,2,1,3,6,5,7]
[3,1,7,2,5,6,4]=>[4,2,1,3,6,7,5]
[3,1,7,2,6,4,5]=>[4,2,1,3,7,5,6]
[3,1,7,2,6,5,4]=>[4,2,1,3,7,6,5]
[3,1,7,4,2,5,6]=>[4,2,1,5,3,6,7]
[3,1,7,4,2,6,5]=>[4,2,1,5,3,7,6]
[3,1,7,4,5,2,6]=>[4,2,1,5,6,3,7]
[3,1,7,4,5,6,2]=>[4,2,1,5,6,7,3]
[3,1,7,4,6,2,5]=>[4,2,1,5,7,3,6]
[3,1,7,4,6,5,2]=>[4,2,1,5,7,6,3]
[3,1,7,5,2,4,6]=>[4,2,1,6,3,5,7]
[3,1,7,5,2,6,4]=>[4,2,1,6,3,7,5]
[3,1,7,5,4,2,6]=>[4,2,1,6,5,3,7]
[3,1,7,5,4,6,2]=>[4,2,1,6,5,7,3]
[3,1,7,5,6,2,4]=>[4,2,1,6,7,3,5]
[3,1,7,5,6,4,2]=>[4,2,1,6,7,5,3]
[3,1,7,6,2,4,5]=>[4,2,1,7,3,5,6]
[3,1,7,6,2,5,4]=>[4,2,1,7,3,6,5]
[3,1,7,6,4,2,5]=>[4,2,1,7,5,3,6]
[3,1,7,6,4,5,2]=>[4,2,1,7,5,6,3]
[3,1,7,6,5,2,4]=>[4,2,1,7,6,3,5]
[3,1,7,6,5,4,2]=>[4,2,1,7,6,5,3]
[3,2,1,4,5,6,7]=>[1,4,3,2,5,6,7]
[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]
[3,2,1,4,6,5,7]=>[1,4,3,2,5,7,6]
[3,2,1,4,6,7,5]=>[4,3,2,5,7,1,6]
[3,2,1,4,7,5,6]=>[4,3,2,5,1,6,7]
[3,2,1,4,7,6,5]=>[4,3,2,5,1,7,6]
[3,2,1,5,4,6,7]=>[1,4,3,2,6,5,7]
[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]
[3,2,1,5,6,4,7]=>[1,4,3,2,6,7,5]
[3,2,1,5,6,7,4]=>[4,3,2,6,7,1,5]
[3,2,1,5,7,4,6]=>[4,3,2,6,1,5,7]
[3,2,1,5,7,6,4]=>[4,3,2,6,1,7,5]
[3,2,1,6,4,5,7]=>[1,4,3,2,7,5,6]
[3,2,1,6,4,7,5]=>[4,3,2,7,5,1,6]
[3,2,1,6,5,4,7]=>[1,4,3,2,7,6,5]
[3,2,1,6,5,7,4]=>[4,3,2,7,6,1,5]
[3,2,1,6,7,4,5]=>[4,3,2,7,1,5,6]
[3,2,1,6,7,5,4]=>[4,3,2,7,1,6,5]
[3,2,1,7,4,5,6]=>[4,3,2,1,5,6,7]
[3,2,1,7,4,6,5]=>[4,3,2,1,5,7,6]
[3,2,1,7,5,4,6]=>[4,3,2,1,6,5,7]
[3,2,1,7,5,6,4]=>[4,3,2,1,6,7,5]
[3,2,1,7,6,4,5]=>[4,3,2,1,7,5,6]
[3,2,1,7,6,5,4]=>[4,3,2,1,7,6,5]
[3,2,4,1,5,6,7]=>[1,4,3,5,2,6,7]
[3,2,4,1,5,7,6]=>[4,3,5,2,6,1,7]
[3,2,4,1,6,5,7]=>[1,4,3,5,2,7,6]
[3,2,4,1,6,7,5]=>[4,3,5,2,7,1,6]
[3,2,4,1,7,5,6]=>[4,3,5,2,1,6,7]
[3,2,4,1,7,6,5]=>[4,3,5,2,1,7,6]
[3,2,4,5,1,6,7]=>[1,4,3,5,6,2,7]
[3,2,4,5,1,7,6]=>[4,3,5,6,2,1,7]
[3,2,4,5,6,1,7]=>[1,4,3,5,6,7,2]
[3,2,4,5,6,7,1]=>[4,3,5,6,7,1,2]
[3,2,4,5,7,1,6]=>[4,3,5,6,1,2,7]
[3,2,4,5,7,6,1]=>[4,3,5,6,1,7,2]
[3,2,4,6,1,5,7]=>[1,4,3,5,7,2,6]
[3,2,4,6,1,7,5]=>[4,3,5,7,2,1,6]
[3,2,4,6,5,1,7]=>[1,4,3,5,7,6,2]
[3,2,4,6,5,7,1]=>[4,3,5,7,6,1,2]
[3,2,4,6,7,1,5]=>[4,3,5,7,1,2,6]
[3,2,4,6,7,5,1]=>[4,3,5,7,1,6,2]
[3,2,4,7,1,5,6]=>[4,3,5,1,2,6,7]
[3,2,4,7,1,6,5]=>[4,3,5,1,2,7,6]
[3,2,4,7,5,1,6]=>[4,3,5,1,6,2,7]
[3,2,4,7,5,6,1]=>[4,3,5,1,6,7,2]
[3,2,4,7,6,1,5]=>[4,3,5,1,7,2,6]
[3,2,4,7,6,5,1]=>[4,3,5,1,7,6,2]
[3,2,5,1,4,6,7]=>[1,4,3,6,2,5,7]
[3,2,5,1,4,7,6]=>[4,3,6,2,5,1,7]
[3,2,5,1,6,4,7]=>[1,4,3,6,2,7,5]
[3,2,5,1,6,7,4]=>[4,3,6,2,7,1,5]
[3,2,5,1,7,4,6]=>[4,3,6,2,1,5,7]
[3,2,5,1,7,6,4]=>[4,3,6,2,1,7,5]
[3,2,5,4,1,6,7]=>[1,4,3,6,5,2,7]
[3,2,5,4,1,7,6]=>[4,3,6,5,2,1,7]
[3,2,5,4,6,1,7]=>[1,4,3,6,5,7,2]
[3,2,5,4,6,7,1]=>[4,3,6,5,7,1,2]
[3,2,5,4,7,1,6]=>[4,3,6,5,1,2,7]
[3,2,5,4,7,6,1]=>[4,3,6,5,1,7,2]
[3,2,5,6,1,4,7]=>[1,4,3,6,7,2,5]
[3,2,5,6,1,7,4]=>[4,3,6,7,2,1,5]
[3,2,5,6,4,1,7]=>[1,4,3,6,7,5,2]
[3,2,5,6,4,7,1]=>[4,3,6,7,5,1,2]
[3,2,5,6,7,1,4]=>[4,3,6,7,1,2,5]
[3,2,5,6,7,4,1]=>[4,3,6,7,1,5,2]
[3,2,5,7,1,4,6]=>[4,3,6,1,2,5,7]
[3,2,5,7,1,6,4]=>[4,3,6,1,2,7,5]
[3,2,5,7,4,1,6]=>[4,3,6,1,5,2,7]
[3,2,5,7,4,6,1]=>[4,3,6,1,5,7,2]
[3,2,5,7,6,1,4]=>[4,3,6,1,7,2,5]
[3,2,5,7,6,4,1]=>[4,3,6,1,7,5,2]
[3,2,6,1,4,5,7]=>[1,4,3,7,2,5,6]
[3,2,6,1,4,7,5]=>[4,3,7,2,5,1,6]
[3,2,6,1,5,4,7]=>[1,4,3,7,2,6,5]
[3,2,6,1,5,7,4]=>[4,3,7,2,6,1,5]
[3,2,6,1,7,4,5]=>[4,3,7,2,1,5,6]
[3,2,6,1,7,5,4]=>[4,3,7,2,1,6,5]
[3,2,6,4,1,5,7]=>[1,4,3,7,5,2,6]
[3,2,6,4,1,7,5]=>[4,3,7,5,2,1,6]
[3,2,6,4,5,1,7]=>[1,4,3,7,5,6,2]
[3,2,6,4,5,7,1]=>[4,3,7,5,6,1,2]
[3,2,6,4,7,1,5]=>[4,3,7,5,1,2,6]
[3,2,6,4,7,5,1]=>[4,3,7,5,1,6,2]
[3,2,6,5,1,4,7]=>[1,4,3,7,6,2,5]
[3,2,6,5,1,7,4]=>[4,3,7,6,2,1,5]
[3,2,6,5,4,1,7]=>[1,4,3,7,6,5,2]
[3,2,6,5,4,7,1]=>[4,3,7,6,5,1,2]
[3,2,6,5,7,1,4]=>[4,3,7,6,1,2,5]
[3,2,6,5,7,4,1]=>[4,3,7,6,1,5,2]
[3,2,6,7,1,4,5]=>[4,3,7,1,2,5,6]
[3,2,6,7,1,5,4]=>[4,3,7,1,2,6,5]
[3,2,6,7,4,1,5]=>[4,3,7,1,5,2,6]
[3,2,6,7,4,5,1]=>[4,3,7,1,5,6,2]
[3,2,6,7,5,1,4]=>[4,3,7,1,6,2,5]
[3,2,6,7,5,4,1]=>[4,3,7,1,6,5,2]
[3,2,7,1,4,5,6]=>[4,3,1,2,5,6,7]
[3,2,7,1,4,6,5]=>[4,3,1,2,5,7,6]
[3,2,7,1,5,4,6]=>[4,3,1,2,6,5,7]
[3,2,7,1,5,6,4]=>[4,3,1,2,6,7,5]
[3,2,7,1,6,4,5]=>[4,3,1,2,7,5,6]
[3,2,7,1,6,5,4]=>[4,3,1,2,7,6,5]
[3,2,7,4,1,5,6]=>[4,3,1,5,2,6,7]
[3,2,7,4,1,6,5]=>[4,3,1,5,2,7,6]
[3,2,7,4,5,1,6]=>[4,3,1,5,6,2,7]
[3,2,7,4,5,6,1]=>[4,3,1,5,6,7,2]
[3,2,7,4,6,1,5]=>[4,3,1,5,7,2,6]
[3,2,7,4,6,5,1]=>[4,3,1,5,7,6,2]
[3,2,7,5,1,4,6]=>[4,3,1,6,2,5,7]
[3,2,7,5,1,6,4]=>[4,3,1,6,2,7,5]
[3,2,7,5,4,1,6]=>[4,3,1,6,5,2,7]
[3,2,7,5,4,6,1]=>[4,3,1,6,5,7,2]
[3,2,7,5,6,1,4]=>[4,3,1,6,7,2,5]
[3,2,7,5,6,4,1]=>[4,3,1,6,7,5,2]
[3,2,7,6,1,4,5]=>[4,3,1,7,2,5,6]
[3,2,7,6,1,5,4]=>[4,3,1,7,2,6,5]
[3,2,7,6,4,1,5]=>[4,3,1,7,5,2,6]
[3,2,7,6,4,5,1]=>[4,3,1,7,5,6,2]
[3,2,7,6,5,1,4]=>[4,3,1,7,6,2,5]
[3,2,7,6,5,4,1]=>[4,3,1,7,6,5,2]
[3,4,1,2,5,6,7]=>[1,4,5,2,3,6,7]
[3,4,1,2,5,7,6]=>[4,5,2,3,6,1,7]
[3,4,1,2,6,5,7]=>[1,4,5,2,3,7,6]
[3,4,1,2,6,7,5]=>[4,5,2,3,7,1,6]
[3,4,1,2,7,5,6]=>[4,5,2,3,1,6,7]
[3,4,1,2,7,6,5]=>[4,5,2,3,1,7,6]
[3,4,1,5,2,6,7]=>[1,4,5,2,6,3,7]
[3,4,1,5,2,7,6]=>[4,5,2,6,3,1,7]
[3,4,1,5,6,2,7]=>[1,4,5,2,6,7,3]
[3,4,1,5,6,7,2]=>[4,5,2,6,7,1,3]
[3,4,1,5,7,2,6]=>[4,5,2,6,1,3,7]
[3,4,1,5,7,6,2]=>[4,5,2,6,1,7,3]
[3,4,1,6,2,5,7]=>[1,4,5,2,7,3,6]
[3,4,1,6,2,7,5]=>[4,5,2,7,3,1,6]
[3,4,1,6,5,2,7]=>[1,4,5,2,7,6,3]
[3,4,1,6,5,7,2]=>[4,5,2,7,6,1,3]
[3,4,1,6,7,2,5]=>[4,5,2,7,1,3,6]
[3,4,1,6,7,5,2]=>[4,5,2,7,1,6,3]
[3,4,1,7,2,5,6]=>[4,5,2,1,3,6,7]
[3,4,1,7,2,6,5]=>[4,5,2,1,3,7,6]
[3,4,1,7,5,2,6]=>[4,5,2,1,6,3,7]
[3,4,1,7,5,6,2]=>[4,5,2,1,6,7,3]
[3,4,1,7,6,2,5]=>[4,5,2,1,7,3,6]
[3,4,1,7,6,5,2]=>[4,5,2,1,7,6,3]
[3,4,2,1,5,6,7]=>[1,4,5,3,2,6,7]
[3,4,2,1,5,7,6]=>[4,5,3,2,6,1,7]
[3,4,2,1,6,5,7]=>[1,4,5,3,2,7,6]
[3,4,2,1,6,7,5]=>[4,5,3,2,7,1,6]
[3,4,2,1,7,5,6]=>[4,5,3,2,1,6,7]
[3,4,2,1,7,6,5]=>[4,5,3,2,1,7,6]
[3,4,2,5,1,6,7]=>[1,4,5,3,6,2,7]
[3,4,2,5,1,7,6]=>[4,5,3,6,2,1,7]
[3,4,2,5,6,1,7]=>[1,4,5,3,6,7,2]
[3,4,2,5,6,7,1]=>[4,5,3,6,7,1,2]
[3,4,2,5,7,1,6]=>[4,5,3,6,1,2,7]
[3,4,2,5,7,6,1]=>[4,5,3,6,1,7,2]
[3,4,2,6,1,5,7]=>[1,4,5,3,7,2,6]
[3,4,2,6,1,7,5]=>[4,5,3,7,2,1,6]
[3,4,2,6,5,1,7]=>[1,4,5,3,7,6,2]
[3,4,2,6,5,7,1]=>[4,5,3,7,6,1,2]
[3,4,2,6,7,1,5]=>[4,5,3,7,1,2,6]
[3,4,2,6,7,5,1]=>[4,5,3,7,1,6,2]
[3,4,2,7,1,5,6]=>[4,5,3,1,2,6,7]
[3,4,2,7,1,6,5]=>[4,5,3,1,2,7,6]
[3,4,2,7,5,1,6]=>[4,5,3,1,6,2,7]
[3,4,2,7,5,6,1]=>[4,5,3,1,6,7,2]
[3,4,2,7,6,1,5]=>[4,5,3,1,7,2,6]
[3,4,2,7,6,5,1]=>[4,5,3,1,7,6,2]
[3,4,5,1,2,6,7]=>[1,4,5,6,2,3,7]
[3,4,5,1,2,7,6]=>[4,5,6,2,3,1,7]
[3,4,5,1,6,2,7]=>[1,4,5,6,2,7,3]
[3,4,5,1,6,7,2]=>[4,5,6,2,7,1,3]
[3,4,5,1,7,2,6]=>[4,5,6,2,1,3,7]
[3,4,5,1,7,6,2]=>[4,5,6,2,1,7,3]
[3,4,5,2,1,6,7]=>[1,4,5,6,3,2,7]
[3,4,5,2,1,7,6]=>[4,5,6,3,2,1,7]
[3,4,5,2,6,1,7]=>[1,4,5,6,3,7,2]
[3,4,5,2,6,7,1]=>[4,5,6,3,7,1,2]
[3,4,5,2,7,1,6]=>[4,5,6,3,1,2,7]
[3,4,5,2,7,6,1]=>[4,5,6,3,1,7,2]
[3,4,5,6,1,2,7]=>[1,4,5,6,7,2,3]
[3,4,5,6,1,7,2]=>[4,5,6,7,2,1,3]
[3,4,5,6,2,1,7]=>[1,4,5,6,7,3,2]
[3,4,5,6,2,7,1]=>[4,5,6,7,3,1,2]
[3,4,5,6,7,1,2]=>[4,5,6,7,1,2,3]
[3,4,5,6,7,2,1]=>[4,5,6,7,1,3,2]
[3,4,5,7,1,2,6]=>[4,5,6,1,2,3,7]
[3,4,5,7,1,6,2]=>[4,5,6,1,2,7,3]
[3,4,5,7,2,1,6]=>[4,5,6,1,3,2,7]
[3,4,5,7,2,6,1]=>[4,5,6,1,3,7,2]
[3,4,5,7,6,1,2]=>[4,5,6,1,7,2,3]
[3,4,5,7,6,2,1]=>[4,5,6,1,7,3,2]
[3,4,6,1,2,5,7]=>[1,4,5,7,2,3,6]
[3,4,6,1,2,7,5]=>[4,5,7,2,3,1,6]
[3,4,6,1,5,2,7]=>[1,4,5,7,2,6,3]
[3,4,6,1,5,7,2]=>[4,5,7,2,6,1,3]
[3,4,6,1,7,2,5]=>[4,5,7,2,1,3,6]
[3,4,6,1,7,5,2]=>[4,5,7,2,1,6,3]
[3,4,6,2,1,5,7]=>[1,4,5,7,3,2,6]
[3,4,6,2,1,7,5]=>[4,5,7,3,2,1,6]
[3,4,6,2,5,1,7]=>[1,4,5,7,3,6,2]
[3,4,6,2,5,7,1]=>[4,5,7,3,6,1,2]
[3,4,6,2,7,1,5]=>[4,5,7,3,1,2,6]
[3,4,6,2,7,5,1]=>[4,5,7,3,1,6,2]
[3,4,6,5,1,2,7]=>[1,4,5,7,6,2,3]
[3,4,6,5,1,7,2]=>[4,5,7,6,2,1,3]
[3,4,6,5,2,1,7]=>[1,4,5,7,6,3,2]
[3,4,6,5,2,7,1]=>[4,5,7,6,3,1,2]
[3,4,6,5,7,1,2]=>[4,5,7,6,1,2,3]
[3,4,6,5,7,2,1]=>[4,5,7,6,1,3,2]
[3,4,6,7,1,2,5]=>[4,5,7,1,2,3,6]
[3,4,6,7,1,5,2]=>[4,5,7,1,2,6,3]
[3,4,6,7,2,1,5]=>[4,5,7,1,3,2,6]
[3,4,6,7,2,5,1]=>[4,5,7,1,3,6,2]
[3,4,6,7,5,1,2]=>[4,5,7,1,6,2,3]
[3,4,6,7,5,2,1]=>[4,5,7,1,6,3,2]
[3,4,7,1,2,5,6]=>[4,5,1,2,3,6,7]
[3,4,7,1,2,6,5]=>[4,5,1,2,3,7,6]
[3,4,7,1,5,2,6]=>[4,5,1,2,6,3,7]
[3,4,7,1,5,6,2]=>[4,5,1,2,6,7,3]
[3,4,7,1,6,2,5]=>[4,5,1,2,7,3,6]
[3,4,7,1,6,5,2]=>[4,5,1,2,7,6,3]
[3,4,7,2,1,5,6]=>[4,5,1,3,2,6,7]
[3,4,7,2,1,6,5]=>[4,5,1,3,2,7,6]
[3,4,7,2,5,1,6]=>[4,5,1,3,6,2,7]
[3,4,7,2,5,6,1]=>[4,5,1,3,6,7,2]
[3,4,7,2,6,1,5]=>[4,5,1,3,7,2,6]
[3,4,7,2,6,5,1]=>[4,5,1,3,7,6,2]
[3,4,7,5,1,2,6]=>[4,5,1,6,2,3,7]
[3,4,7,5,1,6,2]=>[4,5,1,6,2,7,3]
[3,4,7,5,2,1,6]=>[4,5,1,6,3,2,7]
[3,4,7,5,2,6,1]=>[4,5,1,6,3,7,2]
[3,4,7,5,6,1,2]=>[4,5,1,6,7,2,3]
[3,4,7,5,6,2,1]=>[4,5,1,6,7,3,2]
[3,4,7,6,1,2,5]=>[4,5,1,7,2,3,6]
[3,4,7,6,1,5,2]=>[4,5,1,7,2,6,3]
[3,4,7,6,2,1,5]=>[4,5,1,7,3,2,6]
[3,4,7,6,2,5,1]=>[4,5,1,7,3,6,2]
[3,4,7,6,5,1,2]=>[4,5,1,7,6,2,3]
[3,4,7,6,5,2,1]=>[4,5,1,7,6,3,2]
[3,5,1,2,4,6,7]=>[1,4,6,2,3,5,7]
[3,5,1,2,4,7,6]=>[4,6,2,3,5,1,7]
[3,5,1,2,6,4,7]=>[1,4,6,2,3,7,5]
[3,5,1,2,6,7,4]=>[4,6,2,3,7,1,5]
[3,5,1,2,7,4,6]=>[4,6,2,3,1,5,7]
[3,5,1,2,7,6,4]=>[4,6,2,3,1,7,5]
[3,5,1,4,2,6,7]=>[1,4,6,2,5,3,7]
[3,5,1,4,2,7,6]=>[4,6,2,5,3,1,7]
[3,5,1,4,6,2,7]=>[1,4,6,2,5,7,3]
[3,5,1,4,6,7,2]=>[4,6,2,5,7,1,3]
[3,5,1,4,7,2,6]=>[4,6,2,5,1,3,7]
[3,5,1,4,7,6,2]=>[4,6,2,5,1,7,3]
[3,5,1,6,2,4,7]=>[1,4,6,2,7,3,5]
[3,5,1,6,2,7,4]=>[4,6,2,7,3,1,5]
[3,5,1,6,4,2,7]=>[1,4,6,2,7,5,3]
[3,5,1,6,4,7,2]=>[4,6,2,7,5,1,3]
[3,5,1,6,7,2,4]=>[4,6,2,7,1,3,5]
[3,5,1,6,7,4,2]=>[4,6,2,7,1,5,3]
[3,5,1,7,2,4,6]=>[4,6,2,1,3,5,7]
[3,5,1,7,2,6,4]=>[4,6,2,1,3,7,5]
[3,5,1,7,4,2,6]=>[4,6,2,1,5,3,7]
[3,5,1,7,4,6,2]=>[4,6,2,1,5,7,3]
[3,5,1,7,6,2,4]=>[4,6,2,1,7,3,5]
[3,5,1,7,6,4,2]=>[4,6,2,1,7,5,3]
[3,5,2,1,4,6,7]=>[1,4,6,3,2,5,7]
[3,5,2,1,4,7,6]=>[4,6,3,2,5,1,7]
[3,5,2,1,6,4,7]=>[1,4,6,3,2,7,5]
[3,5,2,1,6,7,4]=>[4,6,3,2,7,1,5]
[3,5,2,1,7,4,6]=>[4,6,3,2,1,5,7]
[3,5,2,1,7,6,4]=>[4,6,3,2,1,7,5]
[3,5,2,4,1,6,7]=>[1,4,6,3,5,2,7]
[3,5,2,4,1,7,6]=>[4,6,3,5,2,1,7]
[3,5,2,4,6,1,7]=>[1,4,6,3,5,7,2]
[3,5,2,4,6,7,1]=>[4,6,3,5,7,1,2]
[3,5,2,4,7,1,6]=>[4,6,3,5,1,2,7]
[3,5,2,4,7,6,1]=>[4,6,3,5,1,7,2]
[3,5,2,6,1,4,7]=>[1,4,6,3,7,2,5]
[3,5,2,6,1,7,4]=>[4,6,3,7,2,1,5]
[3,5,2,6,4,1,7]=>[1,4,6,3,7,5,2]
[3,5,2,6,4,7,1]=>[4,6,3,7,5,1,2]
[3,5,2,6,7,1,4]=>[4,6,3,7,1,2,5]
[3,5,2,6,7,4,1]=>[4,6,3,7,1,5,2]
[3,5,2,7,1,4,6]=>[4,6,3,1,2,5,7]
[3,5,2,7,1,6,4]=>[4,6,3,1,2,7,5]
[3,5,2,7,4,1,6]=>[4,6,3,1,5,2,7]
[3,5,2,7,4,6,1]=>[4,6,3,1,5,7,2]
[3,5,2,7,6,1,4]=>[4,6,3,1,7,2,5]
[3,5,2,7,6,4,1]=>[4,6,3,1,7,5,2]
[3,5,4,1,2,6,7]=>[1,4,6,5,2,3,7]
[3,5,4,1,2,7,6]=>[4,6,5,2,3,1,7]
[3,5,4,1,6,2,7]=>[1,4,6,5,2,7,3]
[3,5,4,1,6,7,2]=>[4,6,5,2,7,1,3]
[3,5,4,1,7,2,6]=>[4,6,5,2,1,3,7]
[3,5,4,1,7,6,2]=>[4,6,5,2,1,7,3]
[3,5,4,2,1,6,7]=>[1,4,6,5,3,2,7]
[3,5,4,2,1,7,6]=>[4,6,5,3,2,1,7]
[3,5,4,2,6,1,7]=>[1,4,6,5,3,7,2]
[3,5,4,2,6,7,1]=>[4,6,5,3,7,1,2]
[3,5,4,2,7,1,6]=>[4,6,5,3,1,2,7]
[3,5,4,2,7,6,1]=>[4,6,5,3,1,7,2]
[3,5,4,6,1,2,7]=>[1,4,6,5,7,2,3]
[3,5,4,6,1,7,2]=>[4,6,5,7,2,1,3]
[3,5,4,6,2,1,7]=>[1,4,6,5,7,3,2]
[3,5,4,6,2,7,1]=>[4,6,5,7,3,1,2]
[3,5,4,6,7,1,2]=>[4,6,5,7,1,2,3]
[3,5,4,6,7,2,1]=>[4,6,5,7,1,3,2]
[3,5,4,7,1,2,6]=>[4,6,5,1,2,3,7]
[3,5,4,7,1,6,2]=>[4,6,5,1,2,7,3]
[3,5,4,7,2,1,6]=>[4,6,5,1,3,2,7]
[3,5,4,7,2,6,1]=>[4,6,5,1,3,7,2]
[3,5,4,7,6,1,2]=>[4,6,5,1,7,2,3]
[3,5,4,7,6,2,1]=>[4,6,5,1,7,3,2]
[3,5,6,1,2,4,7]=>[1,4,6,7,2,3,5]
[3,5,6,1,2,7,4]=>[4,6,7,2,3,1,5]
[3,5,6,1,4,2,7]=>[1,4,6,7,2,5,3]
[3,5,6,1,4,7,2]=>[4,6,7,2,5,1,3]
[3,5,6,1,7,2,4]=>[4,6,7,2,1,3,5]
[3,5,6,1,7,4,2]=>[4,6,7,2,1,5,3]
[3,5,6,2,1,4,7]=>[1,4,6,7,3,2,5]
[3,5,6,2,1,7,4]=>[4,6,7,3,2,1,5]
[3,5,6,2,4,1,7]=>[1,4,6,7,3,5,2]
[3,5,6,2,4,7,1]=>[4,6,7,3,5,1,2]
[3,5,6,2,7,1,4]=>[4,6,7,3,1,2,5]
[3,5,6,2,7,4,1]=>[4,6,7,3,1,5,2]
[3,5,6,4,1,2,7]=>[1,4,6,7,5,2,3]
[3,5,6,4,1,7,2]=>[4,6,7,5,2,1,3]
[3,5,6,4,2,1,7]=>[1,4,6,7,5,3,2]
[3,5,6,4,2,7,1]=>[4,6,7,5,3,1,2]
[3,5,6,4,7,1,2]=>[4,6,7,5,1,2,3]
[3,5,6,4,7,2,1]=>[4,6,7,5,1,3,2]
[3,5,6,7,1,2,4]=>[4,6,7,1,2,3,5]
[3,5,6,7,1,4,2]=>[4,6,7,1,2,5,3]
[3,5,6,7,2,1,4]=>[4,6,7,1,3,2,5]
[3,5,6,7,2,4,1]=>[4,6,7,1,3,5,2]
[3,5,6,7,4,1,2]=>[4,6,7,1,5,2,3]
[3,5,6,7,4,2,1]=>[4,6,7,1,5,3,2]
[3,5,7,1,2,4,6]=>[4,6,1,2,3,5,7]
[3,5,7,1,2,6,4]=>[4,6,1,2,3,7,5]
[3,5,7,1,4,2,6]=>[4,6,1,2,5,3,7]
[3,5,7,1,4,6,2]=>[4,6,1,2,5,7,3]
[3,5,7,1,6,2,4]=>[4,6,1,2,7,3,5]
[3,5,7,1,6,4,2]=>[4,6,1,2,7,5,3]
[3,5,7,2,1,4,6]=>[4,6,1,3,2,5,7]
[3,5,7,2,1,6,4]=>[4,6,1,3,2,7,5]
[3,5,7,2,4,1,6]=>[4,6,1,3,5,2,7]
[3,5,7,2,4,6,1]=>[4,6,1,3,5,7,2]
[3,5,7,2,6,1,4]=>[4,6,1,3,7,2,5]
[3,5,7,2,6,4,1]=>[4,6,1,3,7,5,2]
[3,5,7,4,1,2,6]=>[4,6,1,5,2,3,7]
[3,5,7,4,1,6,2]=>[4,6,1,5,2,7,3]
[3,5,7,4,2,1,6]=>[4,6,1,5,3,2,7]
[3,5,7,4,2,6,1]=>[4,6,1,5,3,7,2]
[3,5,7,4,6,1,2]=>[4,6,1,5,7,2,3]
[3,5,7,4,6,2,1]=>[4,6,1,5,7,3,2]
[3,5,7,6,1,2,4]=>[4,6,1,7,2,3,5]
[3,5,7,6,1,4,2]=>[4,6,1,7,2,5,3]
[3,5,7,6,2,1,4]=>[4,6,1,7,3,2,5]
[3,5,7,6,2,4,1]=>[4,6,1,7,3,5,2]
[3,5,7,6,4,1,2]=>[4,6,1,7,5,2,3]
[3,5,7,6,4,2,1]=>[4,6,1,7,5,3,2]
[3,6,1,2,4,5,7]=>[1,4,7,2,3,5,6]
[3,6,1,2,4,7,5]=>[4,7,2,3,5,1,6]
[3,6,1,2,5,4,7]=>[1,4,7,2,3,6,5]
[3,6,1,2,5,7,4]=>[4,7,2,3,6,1,5]
[3,6,1,2,7,4,5]=>[4,7,2,3,1,5,6]
[3,6,1,2,7,5,4]=>[4,7,2,3,1,6,5]
[3,6,1,4,2,5,7]=>[1,4,7,2,5,3,6]
[3,6,1,4,2,7,5]=>[4,7,2,5,3,1,6]
[3,6,1,4,5,2,7]=>[1,4,7,2,5,6,3]
[3,6,1,4,5,7,2]=>[4,7,2,5,6,1,3]
[3,6,1,4,7,2,5]=>[4,7,2,5,1,3,6]
[3,6,1,4,7,5,2]=>[4,7,2,5,1,6,3]
[3,6,1,5,2,4,7]=>[1,4,7,2,6,3,5]
[3,6,1,5,2,7,4]=>[4,7,2,6,3,1,5]
[3,6,1,5,4,2,7]=>[1,4,7,2,6,5,3]
[3,6,1,5,4,7,2]=>[4,7,2,6,5,1,3]
[3,6,1,5,7,2,4]=>[4,7,2,6,1,3,5]
[3,6,1,5,7,4,2]=>[4,7,2,6,1,5,3]
[3,6,1,7,2,4,5]=>[4,7,2,1,3,5,6]
[3,6,1,7,2,5,4]=>[4,7,2,1,3,6,5]
[3,6,1,7,4,2,5]=>[4,7,2,1,5,3,6]
[3,6,1,7,4,5,2]=>[4,7,2,1,5,6,3]
[3,6,1,7,5,2,4]=>[4,7,2,1,6,3,5]
[3,6,1,7,5,4,2]=>[4,7,2,1,6,5,3]
[3,6,2,1,4,5,7]=>[1,4,7,3,2,5,6]
[3,6,2,1,4,7,5]=>[4,7,3,2,5,1,6]
[3,6,2,1,5,4,7]=>[1,4,7,3,2,6,5]
[3,6,2,1,5,7,4]=>[4,7,3,2,6,1,5]
[3,6,2,1,7,4,5]=>[4,7,3,2,1,5,6]
[3,6,2,1,7,5,4]=>[4,7,3,2,1,6,5]
[3,6,2,4,1,5,7]=>[1,4,7,3,5,2,6]
[3,6,2,4,1,7,5]=>[4,7,3,5,2,1,6]
[3,6,2,4,5,1,7]=>[1,4,7,3,5,6,2]
[3,6,2,4,5,7,1]=>[4,7,3,5,6,1,2]
[3,6,2,4,7,1,5]=>[4,7,3,5,1,2,6]
[3,6,2,4,7,5,1]=>[4,7,3,5,1,6,2]
[3,6,2,5,1,4,7]=>[1,4,7,3,6,2,5]
[3,6,2,5,1,7,4]=>[4,7,3,6,2,1,5]
[3,6,2,5,4,1,7]=>[1,4,7,3,6,5,2]
[3,6,2,5,4,7,1]=>[4,7,3,6,5,1,2]
[3,6,2,5,7,1,4]=>[4,7,3,6,1,2,5]
[3,6,2,5,7,4,1]=>[4,7,3,6,1,5,2]
[3,6,2,7,1,4,5]=>[4,7,3,1,2,5,6]
[3,6,2,7,1,5,4]=>[4,7,3,1,2,6,5]
[3,6,2,7,4,1,5]=>[4,7,3,1,5,2,6]
[3,6,2,7,4,5,1]=>[4,7,3,1,5,6,2]
[3,6,2,7,5,1,4]=>[4,7,3,1,6,2,5]
[3,6,2,7,5,4,1]=>[4,7,3,1,6,5,2]
[3,6,4,1,2,5,7]=>[1,4,7,5,2,3,6]
[3,6,4,1,2,7,5]=>[4,7,5,2,3,1,6]
[3,6,4,1,5,2,7]=>[1,4,7,5,2,6,3]
[3,6,4,1,5,7,2]=>[4,7,5,2,6,1,3]
[3,6,4,1,7,2,5]=>[4,7,5,2,1,3,6]
[3,6,4,1,7,5,2]=>[4,7,5,2,1,6,3]
[3,6,4,2,1,5,7]=>[1,4,7,5,3,2,6]
[3,6,4,2,1,7,5]=>[4,7,5,3,2,1,6]
[3,6,4,2,5,1,7]=>[1,4,7,5,3,6,2]
[3,6,4,2,5,7,1]=>[4,7,5,3,6,1,2]
[3,6,4,2,7,1,5]=>[4,7,5,3,1,2,6]
[3,6,4,2,7,5,1]=>[4,7,5,3,1,6,2]
[3,6,4,5,1,2,7]=>[1,4,7,5,6,2,3]
[3,6,4,5,1,7,2]=>[4,7,5,6,2,1,3]
[3,6,4,5,2,1,7]=>[1,4,7,5,6,3,2]
[3,6,4,5,2,7,1]=>[4,7,5,6,3,1,2]
[3,6,4,5,7,1,2]=>[4,7,5,6,1,2,3]
[3,6,4,5,7,2,1]=>[4,7,5,6,1,3,2]
[3,6,4,7,1,2,5]=>[4,7,5,1,2,3,6]
[3,6,4,7,1,5,2]=>[4,7,5,1,2,6,3]
[3,6,4,7,2,1,5]=>[4,7,5,1,3,2,6]
[3,6,4,7,2,5,1]=>[4,7,5,1,3,6,2]
[3,6,4,7,5,1,2]=>[4,7,5,1,6,2,3]
[3,6,4,7,5,2,1]=>[4,7,5,1,6,3,2]
[3,6,5,1,2,4,7]=>[1,4,7,6,2,3,5]
[3,6,5,1,2,7,4]=>[4,7,6,2,3,1,5]
[3,6,5,1,4,2,7]=>[1,4,7,6,2,5,3]
[3,6,5,1,4,7,2]=>[4,7,6,2,5,1,3]
[3,6,5,1,7,2,4]=>[4,7,6,2,1,3,5]
[3,6,5,1,7,4,2]=>[4,7,6,2,1,5,3]
[3,6,5,2,1,4,7]=>[1,4,7,6,3,2,5]
[3,6,5,2,1,7,4]=>[4,7,6,3,2,1,5]
[3,6,5,2,4,1,7]=>[1,4,7,6,3,5,2]
[3,6,5,2,4,7,1]=>[4,7,6,3,5,1,2]
[3,6,5,2,7,1,4]=>[4,7,6,3,1,2,5]
[3,6,5,2,7,4,1]=>[4,7,6,3,1,5,2]
[3,6,5,4,1,2,7]=>[1,4,7,6,5,2,3]
[3,6,5,4,1,7,2]=>[4,7,6,5,2,1,3]
[3,6,5,4,2,1,7]=>[1,4,7,6,5,3,2]
[3,6,5,4,2,7,1]=>[4,7,6,5,3,1,2]
[3,6,5,4,7,1,2]=>[4,7,6,5,1,2,3]
[3,6,5,4,7,2,1]=>[4,7,6,5,1,3,2]
[3,6,5,7,1,2,4]=>[4,7,6,1,2,3,5]
[3,6,5,7,1,4,2]=>[4,7,6,1,2,5,3]
[3,6,5,7,2,1,4]=>[4,7,6,1,3,2,5]
[3,6,5,7,2,4,1]=>[4,7,6,1,3,5,2]
[3,6,5,7,4,1,2]=>[4,7,6,1,5,2,3]
[3,6,5,7,4,2,1]=>[4,7,6,1,5,3,2]
[3,6,7,1,2,4,5]=>[4,7,1,2,3,5,6]
[3,6,7,1,2,5,4]=>[4,7,1,2,3,6,5]
[3,6,7,1,4,2,5]=>[4,7,1,2,5,3,6]
[3,6,7,1,4,5,2]=>[4,7,1,2,5,6,3]
[3,6,7,1,5,2,4]=>[4,7,1,2,6,3,5]
[3,6,7,1,5,4,2]=>[4,7,1,2,6,5,3]
[3,6,7,2,1,4,5]=>[4,7,1,3,2,5,6]
[3,6,7,2,1,5,4]=>[4,7,1,3,2,6,5]
[3,6,7,2,4,1,5]=>[4,7,1,3,5,2,6]
[3,6,7,2,4,5,1]=>[4,7,1,3,5,6,2]
[3,6,7,2,5,1,4]=>[4,7,1,3,6,2,5]
[3,6,7,2,5,4,1]=>[4,7,1,3,6,5,2]
[3,6,7,4,1,2,5]=>[4,7,1,5,2,3,6]
[3,6,7,4,1,5,2]=>[4,7,1,5,2,6,3]
[3,6,7,4,2,1,5]=>[4,7,1,5,3,2,6]
[3,6,7,4,2,5,1]=>[4,7,1,5,3,6,2]
[3,6,7,4,5,1,2]=>[4,7,1,5,6,2,3]
[3,6,7,4,5,2,1]=>[4,7,1,5,6,3,2]
[3,6,7,5,1,2,4]=>[4,7,1,6,2,3,5]
[3,6,7,5,1,4,2]=>[4,7,1,6,2,5,3]
[3,6,7,5,2,1,4]=>[4,7,1,6,3,2,5]
[3,6,7,5,2,4,1]=>[4,7,1,6,3,5,2]
[3,6,7,5,4,1,2]=>[4,7,1,6,5,2,3]
[3,6,7,5,4,2,1]=>[4,7,1,6,5,3,2]
[3,7,1,2,4,5,6]=>[4,1,2,3,5,6,7]
[3,7,1,2,4,6,5]=>[4,1,2,3,5,7,6]
[3,7,1,2,5,4,6]=>[4,1,2,3,6,5,7]
[3,7,1,2,5,6,4]=>[4,1,2,3,6,7,5]
[3,7,1,2,6,4,5]=>[4,1,2,3,7,5,6]
[3,7,1,2,6,5,4]=>[4,1,2,3,7,6,5]
[3,7,1,4,2,5,6]=>[4,1,2,5,3,6,7]
[3,7,1,4,2,6,5]=>[4,1,2,5,3,7,6]
[3,7,1,4,5,2,6]=>[4,1,2,5,6,3,7]
[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]
[3,7,1,4,6,2,5]=>[4,1,2,5,7,3,6]
[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]
[3,7,1,5,2,4,6]=>[4,1,2,6,3,5,7]
[3,7,1,5,2,6,4]=>[4,1,2,6,3,7,5]
[3,7,1,5,4,2,6]=>[4,1,2,6,5,3,7]
[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]
[3,7,1,5,6,2,4]=>[4,1,2,6,7,3,5]
[3,7,1,5,6,4,2]=>[4,1,2,6,7,5,3]
[3,7,1,6,2,4,5]=>[4,1,2,7,3,5,6]
[3,7,1,6,2,5,4]=>[4,1,2,7,3,6,5]
[3,7,1,6,4,2,5]=>[4,1,2,7,5,3,6]
[3,7,1,6,4,5,2]=>[4,1,2,7,5,6,3]
[3,7,1,6,5,2,4]=>[4,1,2,7,6,3,5]
[3,7,1,6,5,4,2]=>[4,1,2,7,6,5,3]
[3,7,2,1,4,5,6]=>[4,1,3,2,5,6,7]
[3,7,2,1,4,6,5]=>[4,1,3,2,5,7,6]
[3,7,2,1,5,4,6]=>[4,1,3,2,6,5,7]
[3,7,2,1,5,6,4]=>[4,1,3,2,6,7,5]
[3,7,2,1,6,4,5]=>[4,1,3,2,7,5,6]
[3,7,2,1,6,5,4]=>[4,1,3,2,7,6,5]
[3,7,2,4,1,5,6]=>[4,1,3,5,2,6,7]
[3,7,2,4,1,6,5]=>[4,1,3,5,2,7,6]
[3,7,2,4,5,1,6]=>[4,1,3,5,6,2,7]
[3,7,2,4,5,6,1]=>[4,1,3,5,6,7,2]
[3,7,2,4,6,1,5]=>[4,1,3,5,7,2,6]
[3,7,2,4,6,5,1]=>[4,1,3,5,7,6,2]
[3,7,2,5,1,4,6]=>[4,1,3,6,2,5,7]
[3,7,2,5,1,6,4]=>[4,1,3,6,2,7,5]
[3,7,2,5,4,1,6]=>[4,1,3,6,5,2,7]
[3,7,2,5,4,6,1]=>[4,1,3,6,5,7,2]
[3,7,2,5,6,1,4]=>[4,1,3,6,7,2,5]
[3,7,2,5,6,4,1]=>[4,1,3,6,7,5,2]
[3,7,2,6,1,4,5]=>[4,1,3,7,2,5,6]
[3,7,2,6,1,5,4]=>[4,1,3,7,2,6,5]
[3,7,2,6,4,1,5]=>[4,1,3,7,5,2,6]
[3,7,2,6,4,5,1]=>[4,1,3,7,5,6,2]
[3,7,2,6,5,1,4]=>[4,1,3,7,6,2,5]
[3,7,2,6,5,4,1]=>[4,1,3,7,6,5,2]
[3,7,4,1,2,5,6]=>[4,1,5,2,3,6,7]
[3,7,4,1,2,6,5]=>[4,1,5,2,3,7,6]
[3,7,4,1,5,2,6]=>[4,1,5,2,6,3,7]
[3,7,4,1,5,6,2]=>[4,1,5,2,6,7,3]
[3,7,4,1,6,2,5]=>[4,1,5,2,7,3,6]
[3,7,4,1,6,5,2]=>[4,1,5,2,7,6,3]
[3,7,4,2,1,5,6]=>[4,1,5,3,2,6,7]
[3,7,4,2,1,6,5]=>[4,1,5,3,2,7,6]
[3,7,4,2,5,1,6]=>[4,1,5,3,6,2,7]
[3,7,4,2,5,6,1]=>[4,1,5,3,6,7,2]
[3,7,4,2,6,1,5]=>[4,1,5,3,7,2,6]
[3,7,4,2,6,5,1]=>[4,1,5,3,7,6,2]
[3,7,4,5,1,2,6]=>[4,1,5,6,2,3,7]
[3,7,4,5,1,6,2]=>[4,1,5,6,2,7,3]
[3,7,4,5,2,1,6]=>[4,1,5,6,3,2,7]
[3,7,4,5,2,6,1]=>[4,1,5,6,3,7,2]
[3,7,4,5,6,1,2]=>[4,1,5,6,7,2,3]
[3,7,4,5,6,2,1]=>[4,1,5,6,7,3,2]
[3,7,4,6,1,2,5]=>[4,1,5,7,2,3,6]
[3,7,4,6,1,5,2]=>[4,1,5,7,2,6,3]
[3,7,4,6,2,1,5]=>[4,1,5,7,3,2,6]
[3,7,4,6,2,5,1]=>[4,1,5,7,3,6,2]
[3,7,4,6,5,1,2]=>[4,1,5,7,6,2,3]
[3,7,4,6,5,2,1]=>[4,1,5,7,6,3,2]
[3,7,5,1,2,4,6]=>[4,1,6,2,3,5,7]
[3,7,5,1,2,6,4]=>[4,1,6,2,3,7,5]
[3,7,5,1,4,2,6]=>[4,1,6,2,5,3,7]
[3,7,5,1,4,6,2]=>[4,1,6,2,5,7,3]
[3,7,5,1,6,2,4]=>[4,1,6,2,7,3,5]
[3,7,5,1,6,4,2]=>[4,1,6,2,7,5,3]
[3,7,5,2,1,4,6]=>[4,1,6,3,2,5,7]
[3,7,5,2,1,6,4]=>[4,1,6,3,2,7,5]
[3,7,5,2,4,1,6]=>[4,1,6,3,5,2,7]
[3,7,5,2,4,6,1]=>[4,1,6,3,5,7,2]
[3,7,5,2,6,1,4]=>[4,1,6,3,7,2,5]
[3,7,5,2,6,4,1]=>[4,1,6,3,7,5,2]
[3,7,5,4,1,2,6]=>[4,1,6,5,2,3,7]
[3,7,5,4,1,6,2]=>[4,1,6,5,2,7,3]
[3,7,5,4,2,1,6]=>[4,1,6,5,3,2,7]
[3,7,5,4,2,6,1]=>[4,1,6,5,3,7,2]
[3,7,5,4,6,1,2]=>[4,1,6,5,7,2,3]
[3,7,5,4,6,2,1]=>[4,1,6,5,7,3,2]
[3,7,5,6,1,2,4]=>[4,1,6,7,2,3,5]
[3,7,5,6,1,4,2]=>[4,1,6,7,2,5,3]
[3,7,5,6,2,1,4]=>[4,1,6,7,3,2,5]
[3,7,5,6,2,4,1]=>[4,1,6,7,3,5,2]
[3,7,5,6,4,1,2]=>[4,1,6,7,5,2,3]
[3,7,5,6,4,2,1]=>[4,1,6,7,5,3,2]
[3,7,6,1,2,4,5]=>[4,1,7,2,3,5,6]
[3,7,6,1,2,5,4]=>[4,1,7,2,3,6,5]
[3,7,6,1,4,2,5]=>[4,1,7,2,5,3,6]
[3,7,6,1,4,5,2]=>[4,1,7,2,5,6,3]
[3,7,6,1,5,2,4]=>[4,1,7,2,6,3,5]
[3,7,6,1,5,4,2]=>[4,1,7,2,6,5,3]
[3,7,6,2,1,4,5]=>[4,1,7,3,2,5,6]
[3,7,6,2,1,5,4]=>[4,1,7,3,2,6,5]
[3,7,6,2,4,1,5]=>[4,1,7,3,5,2,6]
[3,7,6,2,4,5,1]=>[4,1,7,3,5,6,2]
[3,7,6,2,5,1,4]=>[4,1,7,3,6,2,5]
[3,7,6,2,5,4,1]=>[4,1,7,3,6,5,2]
[3,7,6,4,1,2,5]=>[4,1,7,5,2,3,6]
[3,7,6,4,1,5,2]=>[4,1,7,5,2,6,3]
[3,7,6,4,2,1,5]=>[4,1,7,5,3,2,6]
[3,7,6,4,2,5,1]=>[4,1,7,5,3,6,2]
[3,7,6,4,5,1,2]=>[4,1,7,5,6,2,3]
[3,7,6,4,5,2,1]=>[4,1,7,5,6,3,2]
[3,7,6,5,1,2,4]=>[4,1,7,6,2,3,5]
[3,7,6,5,1,4,2]=>[4,1,7,6,2,5,3]
[3,7,6,5,2,1,4]=>[4,1,7,6,3,2,5]
[3,7,6,5,2,4,1]=>[4,1,7,6,3,5,2]
[3,7,6,5,4,1,2]=>[4,1,7,6,5,2,3]
[3,7,6,5,4,2,1]=>[4,1,7,6,5,3,2]
[4,1,2,3,5,6,7]=>[1,5,2,3,4,6,7]
[4,1,2,3,5,7,6]=>[5,2,3,4,6,1,7]
[4,1,2,3,6,5,7]=>[1,5,2,3,4,7,6]
[4,1,2,3,6,7,5]=>[5,2,3,4,7,1,6]
[4,1,2,3,7,5,6]=>[5,2,3,4,1,6,7]
[4,1,2,3,7,6,5]=>[5,2,3,4,1,7,6]
[4,1,2,5,3,6,7]=>[1,5,2,3,6,4,7]
[4,1,2,5,3,7,6]=>[5,2,3,6,4,1,7]
[4,1,2,5,6,3,7]=>[1,5,2,3,6,7,4]
[4,1,2,5,6,7,3]=>[5,2,3,6,7,1,4]
[4,1,2,5,7,3,6]=>[5,2,3,6,1,4,7]
[4,1,2,5,7,6,3]=>[5,2,3,6,1,7,4]
[4,1,2,6,3,5,7]=>[1,5,2,3,7,4,6]
[4,1,2,6,3,7,5]=>[5,2,3,7,4,1,6]
[4,1,2,6,5,3,7]=>[1,5,2,3,7,6,4]
[4,1,2,6,5,7,3]=>[5,2,3,7,6,1,4]
[4,1,2,6,7,3,5]=>[5,2,3,7,1,4,6]
[4,1,2,6,7,5,3]=>[5,2,3,7,1,6,4]
[4,1,2,7,3,5,6]=>[5,2,3,1,4,6,7]
[4,1,2,7,3,6,5]=>[5,2,3,1,4,7,6]
[4,1,2,7,5,3,6]=>[5,2,3,1,6,4,7]
[4,1,2,7,5,6,3]=>[5,2,3,1,6,7,4]
[4,1,2,7,6,3,5]=>[5,2,3,1,7,4,6]
[4,1,2,7,6,5,3]=>[5,2,3,1,7,6,4]
[4,1,3,2,5,6,7]=>[1,5,2,4,3,6,7]
[4,1,3,2,5,7,6]=>[5,2,4,3,6,1,7]
[4,1,3,2,6,5,7]=>[1,5,2,4,3,7,6]
[4,1,3,2,6,7,5]=>[5,2,4,3,7,1,6]
[4,1,3,2,7,5,6]=>[5,2,4,3,1,6,7]
[4,1,3,2,7,6,5]=>[5,2,4,3,1,7,6]
[4,1,3,5,2,6,7]=>[1,5,2,4,6,3,7]
[4,1,3,5,2,7,6]=>[5,2,4,6,3,1,7]
[4,1,3,5,6,2,7]=>[1,5,2,4,6,7,3]
[4,1,3,5,6,7,2]=>[5,2,4,6,7,1,3]
[4,1,3,5,7,2,6]=>[5,2,4,6,1,3,7]
[4,1,3,5,7,6,2]=>[5,2,4,6,1,7,3]
[4,1,3,6,2,5,7]=>[1,5,2,4,7,3,6]
[4,1,3,6,2,7,5]=>[5,2,4,7,3,1,6]
[4,1,3,6,5,2,7]=>[1,5,2,4,7,6,3]
[4,1,3,6,5,7,2]=>[5,2,4,7,6,1,3]
[4,1,3,6,7,2,5]=>[5,2,4,7,1,3,6]
[4,1,3,6,7,5,2]=>[5,2,4,7,1,6,3]
[4,1,3,7,2,5,6]=>[5,2,4,1,3,6,7]
[4,1,3,7,2,6,5]=>[5,2,4,1,3,7,6]
[4,1,3,7,5,2,6]=>[5,2,4,1,6,3,7]
[4,1,3,7,5,6,2]=>[5,2,4,1,6,7,3]
[4,1,3,7,6,2,5]=>[5,2,4,1,7,3,6]
[4,1,3,7,6,5,2]=>[5,2,4,1,7,6,3]
[4,1,5,2,3,6,7]=>[1,5,2,6,3,4,7]
[4,1,5,2,3,7,6]=>[5,2,6,3,4,1,7]
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]
[4,1,5,2,6,7,3]=>[5,2,6,3,7,1,4]
[4,1,5,2,7,3,6]=>[5,2,6,3,1,4,7]
[4,1,5,2,7,6,3]=>[5,2,6,3,1,7,4]
[4,1,5,3,2,6,7]=>[1,5,2,6,4,3,7]
[4,1,5,3,2,7,6]=>[5,2,6,4,3,1,7]
[4,1,5,3,6,2,7]=>[1,5,2,6,4,7,3]
[4,1,5,3,6,7,2]=>[5,2,6,4,7,1,3]
[4,1,5,3,7,2,6]=>[5,2,6,4,1,3,7]
[4,1,5,3,7,6,2]=>[5,2,6,4,1,7,3]
[4,1,5,6,2,3,7]=>[1,5,2,6,7,3,4]
[4,1,5,6,2,7,3]=>[5,2,6,7,3,1,4]
[4,1,5,6,3,2,7]=>[1,5,2,6,7,4,3]
[4,1,5,6,3,7,2]=>[5,2,6,7,4,1,3]
[4,1,5,6,7,2,3]=>[5,2,6,7,1,3,4]
[4,1,5,6,7,3,2]=>[5,2,6,7,1,4,3]
[4,1,5,7,2,3,6]=>[5,2,6,1,3,4,7]
[4,1,5,7,2,6,3]=>[5,2,6,1,3,7,4]
[4,1,5,7,3,2,6]=>[5,2,6,1,4,3,7]
[4,1,5,7,3,6,2]=>[5,2,6,1,4,7,3]
[4,1,5,7,6,2,3]=>[5,2,6,1,7,3,4]
[4,1,5,7,6,3,2]=>[5,2,6,1,7,4,3]
[4,1,6,2,3,5,7]=>[1,5,2,7,3,4,6]
[4,1,6,2,3,7,5]=>[5,2,7,3,4,1,6]
[4,1,6,2,5,3,7]=>[1,5,2,7,3,6,4]
[4,1,6,2,5,7,3]=>[5,2,7,3,6,1,4]
[4,1,6,2,7,3,5]=>[5,2,7,3,1,4,6]
[4,1,6,2,7,5,3]=>[5,2,7,3,1,6,4]
[4,1,6,3,2,5,7]=>[1,5,2,7,4,3,6]
[4,1,6,3,2,7,5]=>[5,2,7,4,3,1,6]
[4,1,6,3,5,2,7]=>[1,5,2,7,4,6,3]
[4,1,6,3,5,7,2]=>[5,2,7,4,6,1,3]
[4,1,6,3,7,2,5]=>[5,2,7,4,1,3,6]
[4,1,6,3,7,5,2]=>[5,2,7,4,1,6,3]
[4,1,6,5,2,3,7]=>[1,5,2,7,6,3,4]
[4,1,6,5,2,7,3]=>[5,2,7,6,3,1,4]
[4,1,6,5,3,2,7]=>[1,5,2,7,6,4,3]
[4,1,6,5,3,7,2]=>[5,2,7,6,4,1,3]
[4,1,6,5,7,2,3]=>[5,2,7,6,1,3,4]
[4,1,6,5,7,3,2]=>[5,2,7,6,1,4,3]
[4,1,6,7,2,3,5]=>[5,2,7,1,3,4,6]
[4,1,6,7,2,5,3]=>[5,2,7,1,3,6,4]
[4,1,6,7,3,2,5]=>[5,2,7,1,4,3,6]
[4,1,6,7,3,5,2]=>[5,2,7,1,4,6,3]
[4,1,6,7,5,2,3]=>[5,2,7,1,6,3,4]
[4,1,6,7,5,3,2]=>[5,2,7,1,6,4,3]
[4,1,7,2,3,5,6]=>[5,2,1,3,4,6,7]
[4,1,7,2,3,6,5]=>[5,2,1,3,4,7,6]
[4,1,7,2,5,3,6]=>[5,2,1,3,6,4,7]
[4,1,7,2,5,6,3]=>[5,2,1,3,6,7,4]
[4,1,7,2,6,3,5]=>[5,2,1,3,7,4,6]
[4,1,7,2,6,5,3]=>[5,2,1,3,7,6,4]
[4,1,7,3,2,5,6]=>[5,2,1,4,3,6,7]
[4,1,7,3,2,6,5]=>[5,2,1,4,3,7,6]
[4,1,7,3,5,2,6]=>[5,2,1,4,6,3,7]
[4,1,7,3,5,6,2]=>[5,2,1,4,6,7,3]
[4,1,7,3,6,2,5]=>[5,2,1,4,7,3,6]
[4,1,7,3,6,5,2]=>[5,2,1,4,7,6,3]
[4,1,7,5,2,3,6]=>[5,2,1,6,3,4,7]
[4,1,7,5,2,6,3]=>[5,2,1,6,3,7,4]
[4,1,7,5,3,2,6]=>[5,2,1,6,4,3,7]
[4,1,7,5,3,6,2]=>[5,2,1,6,4,7,3]
[4,1,7,5,6,2,3]=>[5,2,1,6,7,3,4]
[4,1,7,5,6,3,2]=>[5,2,1,6,7,4,3]
[4,1,7,6,2,3,5]=>[5,2,1,7,3,4,6]
[4,1,7,6,2,5,3]=>[5,2,1,7,3,6,4]
[4,1,7,6,3,2,5]=>[5,2,1,7,4,3,6]
[4,1,7,6,3,5,2]=>[5,2,1,7,4,6,3]
[4,1,7,6,5,2,3]=>[5,2,1,7,6,3,4]
[4,1,7,6,5,3,2]=>[5,2,1,7,6,4,3]
[4,2,1,3,5,6,7]=>[1,5,3,2,4,6,7]
[4,2,1,3,5,7,6]=>[5,3,2,4,6,1,7]
[4,2,1,3,6,5,7]=>[1,5,3,2,4,7,6]
[4,2,1,3,6,7,5]=>[5,3,2,4,7,1,6]
[4,2,1,3,7,5,6]=>[5,3,2,4,1,6,7]
[4,2,1,3,7,6,5]=>[5,3,2,4,1,7,6]
[4,2,1,5,3,6,7]=>[1,5,3,2,6,4,7]
[4,2,1,5,3,7,6]=>[5,3,2,6,4,1,7]
[4,2,1,5,6,3,7]=>[1,5,3,2,6,7,4]
[4,2,1,5,6,7,3]=>[5,3,2,6,7,1,4]
[4,2,1,5,7,3,6]=>[5,3,2,6,1,4,7]
[4,2,1,5,7,6,3]=>[5,3,2,6,1,7,4]
[4,2,1,6,3,5,7]=>[1,5,3,2,7,4,6]
[4,2,1,6,3,7,5]=>[5,3,2,7,4,1,6]
[4,2,1,6,5,3,7]=>[1,5,3,2,7,6,4]
[4,2,1,6,5,7,3]=>[5,3,2,7,6,1,4]
[4,2,1,6,7,3,5]=>[5,3,2,7,1,4,6]
[4,2,1,6,7,5,3]=>[5,3,2,7,1,6,4]
[4,2,1,7,3,5,6]=>[5,3,2,1,4,6,7]
[4,2,1,7,3,6,5]=>[5,3,2,1,4,7,6]
[4,2,1,7,5,3,6]=>[5,3,2,1,6,4,7]
[4,2,1,7,5,6,3]=>[5,3,2,1,6,7,4]
[4,2,1,7,6,3,5]=>[5,3,2,1,7,4,6]
[4,2,1,7,6,5,3]=>[5,3,2,1,7,6,4]
[4,2,3,1,5,6,7]=>[1,5,3,4,2,6,7]
[4,2,3,1,5,7,6]=>[5,3,4,2,6,1,7]
[4,2,3,1,6,5,7]=>[1,5,3,4,2,7,6]
[4,2,3,1,6,7,5]=>[5,3,4,2,7,1,6]
[4,2,3,1,7,5,6]=>[5,3,4,2,1,6,7]
[4,2,3,1,7,6,5]=>[5,3,4,2,1,7,6]
[4,2,3,5,1,6,7]=>[1,5,3,4,6,2,7]
[4,2,3,5,1,7,6]=>[5,3,4,6,2,1,7]
[4,2,3,5,6,1,7]=>[1,5,3,4,6,7,2]
[4,2,3,5,6,7,1]=>[5,3,4,6,7,1,2]
[4,2,3,5,7,1,6]=>[5,3,4,6,1,2,7]
[4,2,3,5,7,6,1]=>[5,3,4,6,1,7,2]
[4,2,3,6,1,5,7]=>[1,5,3,4,7,2,6]
[4,2,3,6,1,7,5]=>[5,3,4,7,2,1,6]
[4,2,3,6,5,1,7]=>[1,5,3,4,7,6,2]
[4,2,3,6,5,7,1]=>[5,3,4,7,6,1,2]
[4,2,3,6,7,1,5]=>[5,3,4,7,1,2,6]
[4,2,3,6,7,5,1]=>[5,3,4,7,1,6,2]
[4,2,3,7,1,5,6]=>[5,3,4,1,2,6,7]
[4,2,3,7,1,6,5]=>[5,3,4,1,2,7,6]
[4,2,3,7,5,1,6]=>[5,3,4,1,6,2,7]
[4,2,3,7,5,6,1]=>[5,3,4,1,6,7,2]
[4,2,3,7,6,1,5]=>[5,3,4,1,7,2,6]
[4,2,3,7,6,5,1]=>[5,3,4,1,7,6,2]
[4,2,5,1,3,6,7]=>[1,5,3,6,2,4,7]
[4,2,5,1,3,7,6]=>[5,3,6,2,4,1,7]
[4,2,5,1,6,3,7]=>[1,5,3,6,2,7,4]
[4,2,5,1,6,7,3]=>[5,3,6,2,7,1,4]
[4,2,5,1,7,3,6]=>[5,3,6,2,1,4,7]
[4,2,5,1,7,6,3]=>[5,3,6,2,1,7,4]
[4,2,5,3,1,6,7]=>[1,5,3,6,4,2,7]
[4,2,5,3,1,7,6]=>[5,3,6,4,2,1,7]
[4,2,5,3,6,1,7]=>[1,5,3,6,4,7,2]
[4,2,5,3,6,7,1]=>[5,3,6,4,7,1,2]
[4,2,5,3,7,1,6]=>[5,3,6,4,1,2,7]
[4,2,5,3,7,6,1]=>[5,3,6,4,1,7,2]
[4,2,5,6,1,3,7]=>[1,5,3,6,7,2,4]
[4,2,5,6,1,7,3]=>[5,3,6,7,2,1,4]
[4,2,5,6,3,1,7]=>[1,5,3,6,7,4,2]
[4,2,5,6,3,7,1]=>[5,3,6,7,4,1,2]
[4,2,5,6,7,1,3]=>[5,3,6,7,1,2,4]
[4,2,5,6,7,3,1]=>[5,3,6,7,1,4,2]
[4,2,5,7,1,3,6]=>[5,3,6,1,2,4,7]
[4,2,5,7,1,6,3]=>[5,3,6,1,2,7,4]
[4,2,5,7,3,1,6]=>[5,3,6,1,4,2,7]
[4,2,5,7,3,6,1]=>[5,3,6,1,4,7,2]
[4,2,5,7,6,1,3]=>[5,3,6,1,7,2,4]
[4,2,5,7,6,3,1]=>[5,3,6,1,7,4,2]
[4,2,6,1,3,5,7]=>[1,5,3,7,2,4,6]
[4,2,6,1,3,7,5]=>[5,3,7,2,4,1,6]
[4,2,6,1,5,3,7]=>[1,5,3,7,2,6,4]
[4,2,6,1,5,7,3]=>[5,3,7,2,6,1,4]
[4,2,6,1,7,3,5]=>[5,3,7,2,1,4,6]
[4,2,6,1,7,5,3]=>[5,3,7,2,1,6,4]
[4,2,6,3,1,5,7]=>[1,5,3,7,4,2,6]
[4,2,6,3,1,7,5]=>[5,3,7,4,2,1,6]
[4,2,6,3,5,1,7]=>[1,5,3,7,4,6,2]
[4,2,6,3,5,7,1]=>[5,3,7,4,6,1,2]
[4,2,6,3,7,1,5]=>[5,3,7,4,1,2,6]
[4,2,6,3,7,5,1]=>[5,3,7,4,1,6,2]
[4,2,6,5,1,3,7]=>[1,5,3,7,6,2,4]
[4,2,6,5,1,7,3]=>[5,3,7,6,2,1,4]
[4,2,6,5,3,1,7]=>[1,5,3,7,6,4,2]
[4,2,6,5,3,7,1]=>[5,3,7,6,4,1,2]
[4,2,6,5,7,1,3]=>[5,3,7,6,1,2,4]
[4,2,6,5,7,3,1]=>[5,3,7,6,1,4,2]
[4,2,6,7,1,3,5]=>[5,3,7,1,2,4,6]
[4,2,6,7,1,5,3]=>[5,3,7,1,2,6,4]
[4,2,6,7,3,1,5]=>[5,3,7,1,4,2,6]
[4,2,6,7,3,5,1]=>[5,3,7,1,4,6,2]
[4,2,6,7,5,1,3]=>[5,3,7,1,6,2,4]
[4,2,6,7,5,3,1]=>[5,3,7,1,6,4,2]
[4,2,7,1,3,5,6]=>[5,3,1,2,4,6,7]
[4,2,7,1,3,6,5]=>[5,3,1,2,4,7,6]
[4,2,7,1,5,3,6]=>[5,3,1,2,6,4,7]
[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]
[4,2,7,1,6,3,5]=>[5,3,1,2,7,4,6]
[4,2,7,1,6,5,3]=>[5,3,1,2,7,6,4]
[4,2,7,3,1,5,6]=>[5,3,1,4,2,6,7]
[4,2,7,3,1,6,5]=>[5,3,1,4,2,7,6]
[4,2,7,3,5,1,6]=>[5,3,1,4,6,2,7]
[4,2,7,3,5,6,1]=>[5,3,1,4,6,7,2]
[4,2,7,3,6,1,5]=>[5,3,1,4,7,2,6]
[4,2,7,3,6,5,1]=>[5,3,1,4,7,6,2]
[4,2,7,5,1,3,6]=>[5,3,1,6,2,4,7]
[4,2,7,5,1,6,3]=>[5,3,1,6,2,7,4]
[4,2,7,5,3,1,6]=>[5,3,1,6,4,2,7]
[4,2,7,5,3,6,1]=>[5,3,1,6,4,7,2]
[4,2,7,5,6,1,3]=>[5,3,1,6,7,2,4]
[4,2,7,5,6,3,1]=>[5,3,1,6,7,4,2]
[4,2,7,6,1,3,5]=>[5,3,1,7,2,4,6]
[4,2,7,6,1,5,3]=>[5,3,1,7,2,6,4]
[4,2,7,6,3,1,5]=>[5,3,1,7,4,2,6]
[4,2,7,6,3,5,1]=>[5,3,1,7,4,6,2]
[4,2,7,6,5,1,3]=>[5,3,1,7,6,2,4]
[4,2,7,6,5,3,1]=>[5,3,1,7,6,4,2]
[4,3,1,2,5,6,7]=>[1,5,4,2,3,6,7]
[4,3,1,2,5,7,6]=>[5,4,2,3,6,1,7]
[4,3,1,2,6,5,7]=>[1,5,4,2,3,7,6]
[4,3,1,2,6,7,5]=>[5,4,2,3,7,1,6]
[4,3,1,2,7,5,6]=>[5,4,2,3,1,6,7]
[4,3,1,2,7,6,5]=>[5,4,2,3,1,7,6]
[4,3,1,5,2,6,7]=>[1,5,4,2,6,3,7]
[4,3,1,5,2,7,6]=>[5,4,2,6,3,1,7]
[4,3,1,5,6,2,7]=>[1,5,4,2,6,7,3]
[4,3,1,5,6,7,2]=>[5,4,2,6,7,1,3]
[4,3,1,5,7,2,6]=>[5,4,2,6,1,3,7]
[4,3,1,5,7,6,2]=>[5,4,2,6,1,7,3]
[4,3,1,6,2,5,7]=>[1,5,4,2,7,3,6]
[4,3,1,6,2,7,5]=>[5,4,2,7,3,1,6]
[4,3,1,6,5,2,7]=>[1,5,4,2,7,6,3]
[4,3,1,6,5,7,2]=>[5,4,2,7,6,1,3]
[4,3,1,6,7,2,5]=>[5,4,2,7,1,3,6]
[4,3,1,6,7,5,2]=>[5,4,2,7,1,6,3]
[4,3,1,7,2,5,6]=>[5,4,2,1,3,6,7]
[4,3,1,7,2,6,5]=>[5,4,2,1,3,7,6]
[4,3,1,7,5,2,6]=>[5,4,2,1,6,3,7]
[4,3,1,7,5,6,2]=>[5,4,2,1,6,7,3]
[4,3,1,7,6,2,5]=>[5,4,2,1,7,3,6]
[4,3,1,7,6,5,2]=>[5,4,2,1,7,6,3]
[4,3,2,1,5,6,7]=>[1,5,4,3,2,6,7]
[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]
[4,3,2,1,6,5,7]=>[1,5,4,3,2,7,6]
[4,3,2,1,6,7,5]=>[5,4,3,2,7,1,6]
[4,3,2,1,7,5,6]=>[5,4,3,2,1,6,7]
[4,3,2,1,7,6,5]=>[5,4,3,2,1,7,6]
[4,3,2,5,1,6,7]=>[1,5,4,3,6,2,7]
[4,3,2,5,1,7,6]=>[5,4,3,6,2,1,7]
[4,3,2,5,6,1,7]=>[1,5,4,3,6,7,2]
[4,3,2,5,6,7,1]=>[5,4,3,6,7,1,2]
[4,3,2,5,7,1,6]=>[5,4,3,6,1,2,7]
[4,3,2,5,7,6,1]=>[5,4,3,6,1,7,2]
[4,3,2,6,1,5,7]=>[1,5,4,3,7,2,6]
[4,3,2,6,1,7,5]=>[5,4,3,7,2,1,6]
[4,3,2,6,5,1,7]=>[1,5,4,3,7,6,2]
[4,3,2,6,5,7,1]=>[5,4,3,7,6,1,2]
[4,3,2,6,7,1,5]=>[5,4,3,7,1,2,6]
[4,3,2,6,7,5,1]=>[5,4,3,7,1,6,2]
[4,3,2,7,1,5,6]=>[5,4,3,1,2,6,7]
[4,3,2,7,1,6,5]=>[5,4,3,1,2,7,6]
[4,3,2,7,5,1,6]=>[5,4,3,1,6,2,7]
[4,3,2,7,5,6,1]=>[5,4,3,1,6,7,2]
[4,3,2,7,6,1,5]=>[5,4,3,1,7,2,6]
[4,3,2,7,6,5,1]=>[5,4,3,1,7,6,2]
[4,3,5,1,2,6,7]=>[1,5,4,6,2,3,7]
[4,3,5,1,2,7,6]=>[5,4,6,2,3,1,7]
[4,3,5,1,6,2,7]=>[1,5,4,6,2,7,3]
[4,3,5,1,6,7,2]=>[5,4,6,2,7,1,3]
[4,3,5,1,7,2,6]=>[5,4,6,2,1,3,7]
[4,3,5,1,7,6,2]=>[5,4,6,2,1,7,3]
[4,3,5,2,1,6,7]=>[1,5,4,6,3,2,7]
[4,3,5,2,1,7,6]=>[5,4,6,3,2,1,7]
[4,3,5,2,6,1,7]=>[1,5,4,6,3,7,2]
[4,3,5,2,6,7,1]=>[5,4,6,3,7,1,2]
[4,3,5,2,7,1,6]=>[5,4,6,3,1,2,7]
[4,3,5,2,7,6,1]=>[5,4,6,3,1,7,2]
[4,3,5,6,1,2,7]=>[1,5,4,6,7,2,3]
[4,3,5,6,1,7,2]=>[5,4,6,7,2,1,3]
[4,3,5,6,2,1,7]=>[1,5,4,6,7,3,2]
[4,3,5,6,2,7,1]=>[5,4,6,7,3,1,2]
[4,3,5,6,7,1,2]=>[5,4,6,7,1,2,3]
[4,3,5,6,7,2,1]=>[5,4,6,7,1,3,2]
[4,3,5,7,1,2,6]=>[5,4,6,1,2,3,7]
[4,3,5,7,1,6,2]=>[5,4,6,1,2,7,3]
[4,3,5,7,2,1,6]=>[5,4,6,1,3,2,7]
[4,3,5,7,2,6,1]=>[5,4,6,1,3,7,2]
[4,3,5,7,6,1,2]=>[5,4,6,1,7,2,3]
[4,3,5,7,6,2,1]=>[5,4,6,1,7,3,2]
[4,3,6,1,2,5,7]=>[1,5,4,7,2,3,6]
[4,3,6,1,2,7,5]=>[5,4,7,2,3,1,6]
[4,3,6,1,5,2,7]=>[1,5,4,7,2,6,3]
[4,3,6,1,5,7,2]=>[5,4,7,2,6,1,3]
[4,3,6,1,7,2,5]=>[5,4,7,2,1,3,6]
[4,3,6,1,7,5,2]=>[5,4,7,2,1,6,3]
[4,3,6,2,1,5,7]=>[1,5,4,7,3,2,6]
[4,3,6,2,1,7,5]=>[5,4,7,3,2,1,6]
[4,3,6,2,5,1,7]=>[1,5,4,7,3,6,2]
[4,3,6,2,5,7,1]=>[5,4,7,3,6,1,2]
[4,3,6,2,7,1,5]=>[5,4,7,3,1,2,6]
[4,3,6,2,7,5,1]=>[5,4,7,3,1,6,2]
[4,3,6,5,1,2,7]=>[1,5,4,7,6,2,3]
[4,3,6,5,1,7,2]=>[5,4,7,6,2,1,3]
[4,3,6,5,2,1,7]=>[1,5,4,7,6,3,2]
[4,3,6,5,2,7,1]=>[5,4,7,6,3,1,2]
[4,3,6,5,7,1,2]=>[5,4,7,6,1,2,3]
[4,3,6,5,7,2,1]=>[5,4,7,6,1,3,2]
[4,3,6,7,1,2,5]=>[5,4,7,1,2,3,6]
[4,3,6,7,1,5,2]=>[5,4,7,1,2,6,3]
[4,3,6,7,2,1,5]=>[5,4,7,1,3,2,6]
[4,3,6,7,2,5,1]=>[5,4,7,1,3,6,2]
[4,3,6,7,5,1,2]=>[5,4,7,1,6,2,3]
[4,3,6,7,5,2,1]=>[5,4,7,1,6,3,2]
[4,3,7,1,2,5,6]=>[5,4,1,2,3,6,7]
[4,3,7,1,2,6,5]=>[5,4,1,2,3,7,6]
[4,3,7,1,5,2,6]=>[5,4,1,2,6,3,7]
[4,3,7,1,5,6,2]=>[5,4,1,2,6,7,3]
[4,3,7,1,6,2,5]=>[5,4,1,2,7,3,6]
[4,3,7,1,6,5,2]=>[5,4,1,2,7,6,3]
[4,3,7,2,1,5,6]=>[5,4,1,3,2,6,7]
[4,3,7,2,1,6,5]=>[5,4,1,3,2,7,6]
[4,3,7,2,5,1,6]=>[5,4,1,3,6,2,7]
[4,3,7,2,5,6,1]=>[5,4,1,3,6,7,2]
[4,3,7,2,6,1,5]=>[5,4,1,3,7,2,6]
[4,3,7,2,6,5,1]=>[5,4,1,3,7,6,2]
[4,3,7,5,1,2,6]=>[5,4,1,6,2,3,7]
[4,3,7,5,1,6,2]=>[5,4,1,6,2,7,3]
[4,3,7,5,2,1,6]=>[5,4,1,6,3,2,7]
[4,3,7,5,2,6,1]=>[5,4,1,6,3,7,2]
[4,3,7,5,6,1,2]=>[5,4,1,6,7,2,3]
[4,3,7,5,6,2,1]=>[5,4,1,6,7,3,2]
[4,3,7,6,1,2,5]=>[5,4,1,7,2,3,6]
[4,3,7,6,1,5,2]=>[5,4,1,7,2,6,3]
[4,3,7,6,2,1,5]=>[5,4,1,7,3,2,6]
[4,3,7,6,2,5,1]=>[5,4,1,7,3,6,2]
[4,3,7,6,5,1,2]=>[5,4,1,7,6,2,3]
[4,3,7,6,5,2,1]=>[5,4,1,7,6,3,2]
[4,5,1,2,3,6,7]=>[1,5,6,2,3,4,7]
[4,5,1,2,3,7,6]=>[5,6,2,3,4,1,7]
[4,5,1,2,6,3,7]=>[1,5,6,2,3,7,4]
[4,5,1,2,6,7,3]=>[5,6,2,3,7,1,4]
[4,5,1,2,7,3,6]=>[5,6,2,3,1,4,7]
[4,5,1,2,7,6,3]=>[5,6,2,3,1,7,4]
[4,5,1,3,2,6,7]=>[1,5,6,2,4,3,7]
[4,5,1,3,2,7,6]=>[5,6,2,4,3,1,7]
[4,5,1,3,6,2,7]=>[1,5,6,2,4,7,3]
[4,5,1,3,6,7,2]=>[5,6,2,4,7,1,3]
[4,5,1,3,7,2,6]=>[5,6,2,4,1,3,7]
[4,5,1,3,7,6,2]=>[5,6,2,4,1,7,3]
[4,5,1,6,2,3,7]=>[1,5,6,2,7,3,4]
[4,5,1,6,2,7,3]=>[5,6,2,7,3,1,4]
[4,5,1,6,3,2,7]=>[1,5,6,2,7,4,3]
[4,5,1,6,3,7,2]=>[5,6,2,7,4,1,3]
[4,5,1,6,7,2,3]=>[5,6,2,7,1,3,4]
[4,5,1,6,7,3,2]=>[5,6,2,7,1,4,3]
[4,5,1,7,2,3,6]=>[5,6,2,1,3,4,7]
[4,5,1,7,2,6,3]=>[5,6,2,1,3,7,4]
[4,5,1,7,3,2,6]=>[5,6,2,1,4,3,7]
[4,5,1,7,3,6,2]=>[5,6,2,1,4,7,3]
[4,5,1,7,6,2,3]=>[5,6,2,1,7,3,4]
[4,5,1,7,6,3,2]=>[5,6,2,1,7,4,3]
[4,5,2,1,3,6,7]=>[1,5,6,3,2,4,7]
[4,5,2,1,3,7,6]=>[5,6,3,2,4,1,7]
[4,5,2,1,6,3,7]=>[1,5,6,3,2,7,4]
[4,5,2,1,6,7,3]=>[5,6,3,2,7,1,4]
[4,5,2,1,7,3,6]=>[5,6,3,2,1,4,7]
[4,5,2,1,7,6,3]=>[5,6,3,2,1,7,4]
[4,5,2,3,1,6,7]=>[1,5,6,3,4,2,7]
[4,5,2,3,1,7,6]=>[5,6,3,4,2,1,7]
[4,5,2,3,6,1,7]=>[1,5,6,3,4,7,2]
[4,5,2,3,6,7,1]=>[5,6,3,4,7,1,2]
[4,5,2,3,7,1,6]=>[5,6,3,4,1,2,7]
[4,5,2,3,7,6,1]=>[5,6,3,4,1,7,2]
[4,5,2,6,1,3,7]=>[1,5,6,3,7,2,4]
[4,5,2,6,1,7,3]=>[5,6,3,7,2,1,4]
[4,5,2,6,3,1,7]=>[1,5,6,3,7,4,2]
[4,5,2,6,3,7,1]=>[5,6,3,7,4,1,2]
[4,5,2,6,7,1,3]=>[5,6,3,7,1,2,4]
[4,5,2,6,7,3,1]=>[5,6,3,7,1,4,2]
[4,5,2,7,1,3,6]=>[5,6,3,1,2,4,7]
[4,5,2,7,1,6,3]=>[5,6,3,1,2,7,4]
[4,5,2,7,3,1,6]=>[5,6,3,1,4,2,7]
[4,5,2,7,3,6,1]=>[5,6,3,1,4,7,2]
[4,5,2,7,6,1,3]=>[5,6,3,1,7,2,4]
[4,5,2,7,6,3,1]=>[5,6,3,1,7,4,2]
[4,5,3,1,2,6,7]=>[1,5,6,4,2,3,7]
[4,5,3,1,2,7,6]=>[5,6,4,2,3,1,7]
[4,5,3,1,6,2,7]=>[1,5,6,4,2,7,3]
[4,5,3,1,6,7,2]=>[5,6,4,2,7,1,3]
[4,5,3,1,7,2,6]=>[5,6,4,2,1,3,7]
[4,5,3,1,7,6,2]=>[5,6,4,2,1,7,3]
[4,5,3,2,1,6,7]=>[1,5,6,4,3,2,7]
[4,5,3,2,1,7,6]=>[5,6,4,3,2,1,7]
[4,5,3,2,6,1,7]=>[1,5,6,4,3,7,2]
[4,5,3,2,6,7,1]=>[5,6,4,3,7,1,2]
[4,5,3,2,7,1,6]=>[5,6,4,3,1,2,7]
[4,5,3,2,7,6,1]=>[5,6,4,3,1,7,2]
[4,5,3,6,1,2,7]=>[1,5,6,4,7,2,3]
[4,5,3,6,1,7,2]=>[5,6,4,7,2,1,3]
[4,5,3,6,2,1,7]=>[1,5,6,4,7,3,2]
[4,5,3,6,2,7,1]=>[5,6,4,7,3,1,2]
[4,5,3,6,7,1,2]=>[5,6,4,7,1,2,3]
[4,5,3,6,7,2,1]=>[5,6,4,7,1,3,2]
[4,5,3,7,1,2,6]=>[5,6,4,1,2,3,7]
[4,5,3,7,1,6,2]=>[5,6,4,1,2,7,3]
[4,5,3,7,2,1,6]=>[5,6,4,1,3,2,7]
[4,5,3,7,2,6,1]=>[5,6,4,1,3,7,2]
[4,5,3,7,6,1,2]=>[5,6,4,1,7,2,3]
[4,5,3,7,6,2,1]=>[5,6,4,1,7,3,2]
[4,5,6,1,2,3,7]=>[1,5,6,7,2,3,4]
[4,5,6,1,2,7,3]=>[5,6,7,2,3,1,4]
[4,5,6,1,3,2,7]=>[1,5,6,7,2,4,3]
[4,5,6,1,3,7,2]=>[5,6,7,2,4,1,3]
[4,5,6,1,7,2,3]=>[5,6,7,2,1,3,4]
[4,5,6,1,7,3,2]=>[5,6,7,2,1,4,3]
[4,5,6,2,1,3,7]=>[1,5,6,7,3,2,4]
[4,5,6,2,1,7,3]=>[5,6,7,3,2,1,4]
[4,5,6,2,3,1,7]=>[1,5,6,7,3,4,2]
[4,5,6,2,3,7,1]=>[5,6,7,3,4,1,2]
[4,5,6,2,7,1,3]=>[5,6,7,3,1,2,4]
[4,5,6,2,7,3,1]=>[5,6,7,3,1,4,2]
[4,5,6,3,1,2,7]=>[1,5,6,7,4,2,3]
[4,5,6,3,1,7,2]=>[5,6,7,4,2,1,3]
[4,5,6,3,2,1,7]=>[1,5,6,7,4,3,2]
[4,5,6,3,2,7,1]=>[5,6,7,4,3,1,2]
[4,5,6,3,7,1,2]=>[5,6,7,4,1,2,3]
[4,5,6,3,7,2,1]=>[5,6,7,4,1,3,2]
[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4]
[4,5,6,7,1,3,2]=>[5,6,7,1,2,4,3]
[4,5,6,7,2,1,3]=>[5,6,7,1,3,2,4]
[4,5,6,7,2,3,1]=>[5,6,7,1,3,4,2]
[4,5,6,7,3,1,2]=>[5,6,7,1,4,2,3]
[4,5,6,7,3,2,1]=>[5,6,7,1,4,3,2]
[4,5,7,1,2,3,6]=>[5,6,1,2,3,4,7]
[4,5,7,1,2,6,3]=>[5,6,1,2,3,7,4]
[4,5,7,1,3,2,6]=>[5,6,1,2,4,3,7]
[4,5,7,1,3,6,2]=>[5,6,1,2,4,7,3]
[4,5,7,1,6,2,3]=>[5,6,1,2,7,3,4]
[4,5,7,1,6,3,2]=>[5,6,1,2,7,4,3]
[4,5,7,2,1,3,6]=>[5,6,1,3,2,4,7]
[4,5,7,2,1,6,3]=>[5,6,1,3,2,7,4]
[4,5,7,2,3,1,6]=>[5,6,1,3,4,2,7]
[4,5,7,2,3,6,1]=>[5,6,1,3,4,7,2]
[4,5,7,2,6,1,3]=>[5,6,1,3,7,2,4]
[4,5,7,2,6,3,1]=>[5,6,1,3,7,4,2]
[4,5,7,3,1,2,6]=>[5,6,1,4,2,3,7]
[4,5,7,3,1,6,2]=>[5,6,1,4,2,7,3]
[4,5,7,3,2,1,6]=>[5,6,1,4,3,2,7]
[4,5,7,3,2,6,1]=>[5,6,1,4,3,7,2]
[4,5,7,3,6,1,2]=>[5,6,1,4,7,2,3]
[4,5,7,3,6,2,1]=>[5,6,1,4,7,3,2]
[4,5,7,6,1,2,3]=>[5,6,1,7,2,3,4]
[4,5,7,6,1,3,2]=>[5,6,1,7,2,4,3]
[4,5,7,6,2,1,3]=>[5,6,1,7,3,2,4]
[4,5,7,6,2,3,1]=>[5,6,1,7,3,4,2]
[4,5,7,6,3,1,2]=>[5,6,1,7,4,2,3]
[4,5,7,6,3,2,1]=>[5,6,1,7,4,3,2]
[4,6,1,2,3,5,7]=>[1,5,7,2,3,4,6]
[4,6,1,2,3,7,5]=>[5,7,2,3,4,1,6]
[4,6,1,2,5,3,7]=>[1,5,7,2,3,6,4]
[4,6,1,2,5,7,3]=>[5,7,2,3,6,1,4]
[4,6,1,2,7,3,5]=>[5,7,2,3,1,4,6]
[4,6,1,2,7,5,3]=>[5,7,2,3,1,6,4]
[4,6,1,3,2,5,7]=>[1,5,7,2,4,3,6]
[4,6,1,3,2,7,5]=>[5,7,2,4,3,1,6]
[4,6,1,3,5,2,7]=>[1,5,7,2,4,6,3]
[4,6,1,3,5,7,2]=>[5,7,2,4,6,1,3]
[4,6,1,3,7,2,5]=>[5,7,2,4,1,3,6]
[4,6,1,3,7,5,2]=>[5,7,2,4,1,6,3]
[4,6,1,5,2,3,7]=>[1,5,7,2,6,3,4]
[4,6,1,5,2,7,3]=>[5,7,2,6,3,1,4]
[4,6,1,5,3,2,7]=>[1,5,7,2,6,4,3]
[4,6,1,5,3,7,2]=>[5,7,2,6,4,1,3]
[4,6,1,5,7,2,3]=>[5,7,2,6,1,3,4]
[4,6,1,5,7,3,2]=>[5,7,2,6,1,4,3]
[4,6,1,7,2,3,5]=>[5,7,2,1,3,4,6]
[4,6,1,7,2,5,3]=>[5,7,2,1,3,6,4]
[4,6,1,7,3,2,5]=>[5,7,2,1,4,3,6]
[4,6,1,7,3,5,2]=>[5,7,2,1,4,6,3]
[4,6,1,7,5,2,3]=>[5,7,2,1,6,3,4]
[4,6,1,7,5,3,2]=>[5,7,2,1,6,4,3]
[4,6,2,1,3,5,7]=>[1,5,7,3,2,4,6]
[4,6,2,1,3,7,5]=>[5,7,3,2,4,1,6]
[4,6,2,1,5,3,7]=>[1,5,7,3,2,6,4]
[4,6,2,1,5,7,3]=>[5,7,3,2,6,1,4]
[4,6,2,1,7,3,5]=>[5,7,3,2,1,4,6]
[4,6,2,1,7,5,3]=>[5,7,3,2,1,6,4]
[4,6,2,3,1,5,7]=>[1,5,7,3,4,2,6]
[4,6,2,3,1,7,5]=>[5,7,3,4,2,1,6]
[4,6,2,3,5,1,7]=>[1,5,7,3,4,6,2]
[4,6,2,3,5,7,1]=>[5,7,3,4,6,1,2]
[4,6,2,3,7,1,5]=>[5,7,3,4,1,2,6]
[4,6,2,3,7,5,1]=>[5,7,3,4,1,6,2]
[4,6,2,5,1,3,7]=>[1,5,7,3,6,2,4]
[4,6,2,5,1,7,3]=>[5,7,3,6,2,1,4]
[4,6,2,5,3,1,7]=>[1,5,7,3,6,4,2]
[4,6,2,5,3,7,1]=>[5,7,3,6,4,1,2]
[4,6,2,5,7,1,3]=>[5,7,3,6,1,2,4]
[4,6,2,5,7,3,1]=>[5,7,3,6,1,4,2]
[4,6,2,7,1,3,5]=>[5,7,3,1,2,4,6]
[4,6,2,7,1,5,3]=>[5,7,3,1,2,6,4]
[4,6,2,7,3,1,5]=>[5,7,3,1,4,2,6]
[4,6,2,7,3,5,1]=>[5,7,3,1,4,6,2]
[4,6,2,7,5,1,3]=>[5,7,3,1,6,2,4]
[4,6,2,7,5,3,1]=>[5,7,3,1,6,4,2]
[4,6,3,1,2,5,7]=>[1,5,7,4,2,3,6]
[4,6,3,1,2,7,5]=>[5,7,4,2,3,1,6]
[4,6,3,1,5,2,7]=>[1,5,7,4,2,6,3]
[4,6,3,1,5,7,2]=>[5,7,4,2,6,1,3]
[4,6,3,1,7,2,5]=>[5,7,4,2,1,3,6]
[4,6,3,1,7,5,2]=>[5,7,4,2,1,6,3]
[4,6,3,2,1,5,7]=>[1,5,7,4,3,2,6]
[4,6,3,2,1,7,5]=>[5,7,4,3,2,1,6]
[4,6,3,2,5,1,7]=>[1,5,7,4,3,6,2]
[4,6,3,2,5,7,1]=>[5,7,4,3,6,1,2]
[4,6,3,2,7,1,5]=>[5,7,4,3,1,2,6]
[4,6,3,2,7,5,1]=>[5,7,4,3,1,6,2]
[4,6,3,5,1,2,7]=>[1,5,7,4,6,2,3]
[4,6,3,5,1,7,2]=>[5,7,4,6,2,1,3]
[4,6,3,5,2,1,7]=>[1,5,7,4,6,3,2]
[4,6,3,5,2,7,1]=>[5,7,4,6,3,1,2]
[4,6,3,5,7,1,2]=>[5,7,4,6,1,2,3]
[4,6,3,5,7,2,1]=>[5,7,4,6,1,3,2]
[4,6,3,7,1,2,5]=>[5,7,4,1,2,3,6]
[4,6,3,7,1,5,2]=>[5,7,4,1,2,6,3]
[4,6,3,7,2,1,5]=>[5,7,4,1,3,2,6]
[4,6,3,7,2,5,1]=>[5,7,4,1,3,6,2]
[4,6,3,7,5,1,2]=>[5,7,4,1,6,2,3]
[4,6,3,7,5,2,1]=>[5,7,4,1,6,3,2]
[4,6,5,1,2,3,7]=>[1,5,7,6,2,3,4]
[4,6,5,1,2,7,3]=>[5,7,6,2,3,1,4]
[4,6,5,1,3,2,7]=>[1,5,7,6,2,4,3]
[4,6,5,1,3,7,2]=>[5,7,6,2,4,1,3]
[4,6,5,1,7,2,3]=>[5,7,6,2,1,3,4]
[4,6,5,1,7,3,2]=>[5,7,6,2,1,4,3]
[4,6,5,2,1,3,7]=>[1,5,7,6,3,2,4]
[4,6,5,2,1,7,3]=>[5,7,6,3,2,1,4]
[4,6,5,2,3,1,7]=>[1,5,7,6,3,4,2]
[4,6,5,2,3,7,1]=>[5,7,6,3,4,1,2]
[4,6,5,2,7,1,3]=>[5,7,6,3,1,2,4]
[4,6,5,2,7,3,1]=>[5,7,6,3,1,4,2]
[4,6,5,3,1,2,7]=>[1,5,7,6,4,2,3]
[4,6,5,3,1,7,2]=>[5,7,6,4,2,1,3]
[4,6,5,3,2,1,7]=>[1,5,7,6,4,3,2]
[4,6,5,3,2,7,1]=>[5,7,6,4,3,1,2]
[4,6,5,3,7,1,2]=>[5,7,6,4,1,2,3]
[4,6,5,3,7,2,1]=>[5,7,6,4,1,3,2]
[4,6,5,7,1,2,3]=>[5,7,6,1,2,3,4]
[4,6,5,7,1,3,2]=>[5,7,6,1,2,4,3]
[4,6,5,7,2,1,3]=>[5,7,6,1,3,2,4]
[4,6,5,7,2,3,1]=>[5,7,6,1,3,4,2]
[4,6,5,7,3,1,2]=>[5,7,6,1,4,2,3]
[4,6,5,7,3,2,1]=>[5,7,6,1,4,3,2]
[4,6,7,1,2,3,5]=>[5,7,1,2,3,4,6]
[4,6,7,1,2,5,3]=>[5,7,1,2,3,6,4]
[4,6,7,1,3,2,5]=>[5,7,1,2,4,3,6]
[4,6,7,1,3,5,2]=>[5,7,1,2,4,6,3]
[4,6,7,1,5,2,3]=>[5,7,1,2,6,3,4]
[4,6,7,1,5,3,2]=>[5,7,1,2,6,4,3]
[4,6,7,2,1,3,5]=>[5,7,1,3,2,4,6]
[4,6,7,2,1,5,3]=>[5,7,1,3,2,6,4]
[4,6,7,2,3,1,5]=>[5,7,1,3,4,2,6]
[4,6,7,2,3,5,1]=>[5,7,1,3,4,6,2]
[4,6,7,2,5,1,3]=>[5,7,1,3,6,2,4]
[4,6,7,2,5,3,1]=>[5,7,1,3,6,4,2]
[4,6,7,3,1,2,5]=>[5,7,1,4,2,3,6]
[4,6,7,3,1,5,2]=>[5,7,1,4,2,6,3]
[4,6,7,3,2,1,5]=>[5,7,1,4,3,2,6]
[4,6,7,3,2,5,1]=>[5,7,1,4,3,6,2]
[4,6,7,3,5,1,2]=>[5,7,1,4,6,2,3]
[4,6,7,3,5,2,1]=>[5,7,1,4,6,3,2]
[4,6,7,5,1,2,3]=>[5,7,1,6,2,3,4]
[4,6,7,5,1,3,2]=>[5,7,1,6,2,4,3]
[4,6,7,5,2,1,3]=>[5,7,1,6,3,2,4]
[4,6,7,5,2,3,1]=>[5,7,1,6,3,4,2]
[4,6,7,5,3,1,2]=>[5,7,1,6,4,2,3]
[4,6,7,5,3,2,1]=>[5,7,1,6,4,3,2]
[4,7,1,2,3,5,6]=>[5,1,2,3,4,6,7]
[4,7,1,2,3,6,5]=>[5,1,2,3,4,7,6]
[4,7,1,2,5,3,6]=>[5,1,2,3,6,4,7]
[4,7,1,2,5,6,3]=>[5,1,2,3,6,7,4]
[4,7,1,2,6,3,5]=>[5,1,2,3,7,4,6]
[4,7,1,2,6,5,3]=>[5,1,2,3,7,6,4]
[4,7,1,3,2,5,6]=>[5,1,2,4,3,6,7]
[4,7,1,3,2,6,5]=>[5,1,2,4,3,7,6]
[4,7,1,3,5,2,6]=>[5,1,2,4,6,3,7]
[4,7,1,3,5,6,2]=>[5,1,2,4,6,7,3]
[4,7,1,3,6,2,5]=>[5,1,2,4,7,3,6]
[4,7,1,3,6,5,2]=>[5,1,2,4,7,6,3]
[4,7,1,5,2,3,6]=>[5,1,2,6,3,4,7]
[4,7,1,5,2,6,3]=>[5,1,2,6,3,7,4]
[4,7,1,5,3,2,6]=>[5,1,2,6,4,3,7]
[4,7,1,5,3,6,2]=>[5,1,2,6,4,7,3]
[4,7,1,5,6,2,3]=>[5,1,2,6,7,3,4]
[4,7,1,5,6,3,2]=>[5,1,2,6,7,4,3]
[4,7,1,6,2,3,5]=>[5,1,2,7,3,4,6]
[4,7,1,6,2,5,3]=>[5,1,2,7,3,6,4]
[4,7,1,6,3,2,5]=>[5,1,2,7,4,3,6]
[4,7,1,6,3,5,2]=>[5,1,2,7,4,6,3]
[4,7,1,6,5,2,3]=>[5,1,2,7,6,3,4]
[4,7,1,6,5,3,2]=>[5,1,2,7,6,4,3]
[4,7,2,1,3,5,6]=>[5,1,3,2,4,6,7]
[4,7,2,1,3,6,5]=>[5,1,3,2,4,7,6]
[4,7,2,1,5,3,6]=>[5,1,3,2,6,4,7]
[4,7,2,1,5,6,3]=>[5,1,3,2,6,7,4]
[4,7,2,1,6,3,5]=>[5,1,3,2,7,4,6]
[4,7,2,1,6,5,3]=>[5,1,3,2,7,6,4]
[4,7,2,3,1,5,6]=>[5,1,3,4,2,6,7]
[4,7,2,3,1,6,5]=>[5,1,3,4,2,7,6]
[4,7,2,3,5,1,6]=>[5,1,3,4,6,2,7]
[4,7,2,3,5,6,1]=>[5,1,3,4,6,7,2]
[4,7,2,3,6,1,5]=>[5,1,3,4,7,2,6]
[4,7,2,3,6,5,1]=>[5,1,3,4,7,6,2]
[4,7,2,5,1,3,6]=>[5,1,3,6,2,4,7]
[4,7,2,5,1,6,3]=>[5,1,3,6,2,7,4]
[4,7,2,5,3,1,6]=>[5,1,3,6,4,2,7]
[4,7,2,5,3,6,1]=>[5,1,3,6,4,7,2]
[4,7,2,5,6,1,3]=>[5,1,3,6,7,2,4]
[4,7,2,5,6,3,1]=>[5,1,3,6,7,4,2]
[4,7,2,6,1,3,5]=>[5,1,3,7,2,4,6]
[4,7,2,6,1,5,3]=>[5,1,3,7,2,6,4]
[4,7,2,6,3,1,5]=>[5,1,3,7,4,2,6]
[4,7,2,6,3,5,1]=>[5,1,3,7,4,6,2]
[4,7,2,6,5,1,3]=>[5,1,3,7,6,2,4]
[4,7,2,6,5,3,1]=>[5,1,3,7,6,4,2]
[4,7,3,1,2,5,6]=>[5,1,4,2,3,6,7]
[4,7,3,1,2,6,5]=>[5,1,4,2,3,7,6]
[4,7,3,1,5,2,6]=>[5,1,4,2,6,3,7]
[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]
[4,7,3,1,6,2,5]=>[5,1,4,2,7,3,6]
[4,7,3,1,6,5,2]=>[5,1,4,2,7,6,3]
[4,7,3,2,1,5,6]=>[5,1,4,3,2,6,7]
[4,7,3,2,1,6,5]=>[5,1,4,3,2,7,6]
[4,7,3,2,5,1,6]=>[5,1,4,3,6,2,7]
[4,7,3,2,5,6,1]=>[5,1,4,3,6,7,2]
[4,7,3,2,6,1,5]=>[5,1,4,3,7,2,6]
[4,7,3,2,6,5,1]=>[5,1,4,3,7,6,2]
[4,7,3,5,1,2,6]=>[5,1,4,6,2,3,7]
[4,7,3,5,1,6,2]=>[5,1,4,6,2,7,3]
[4,7,3,5,2,1,6]=>[5,1,4,6,3,2,7]
[4,7,3,5,2,6,1]=>[5,1,4,6,3,7,2]
[4,7,3,5,6,1,2]=>[5,1,4,6,7,2,3]
[4,7,3,5,6,2,1]=>[5,1,4,6,7,3,2]
[4,7,3,6,1,2,5]=>[5,1,4,7,2,3,6]
[4,7,3,6,1,5,2]=>[5,1,4,7,2,6,3]
[4,7,3,6,2,1,5]=>[5,1,4,7,3,2,6]
[4,7,3,6,2,5,1]=>[5,1,4,7,3,6,2]
[4,7,3,6,5,1,2]=>[5,1,4,7,6,2,3]
[4,7,3,6,5,2,1]=>[5,1,4,7,6,3,2]
[4,7,5,1,2,3,6]=>[5,1,6,2,3,4,7]
[4,7,5,1,2,6,3]=>[5,1,6,2,3,7,4]
[4,7,5,1,3,2,6]=>[5,1,6,2,4,3,7]
[4,7,5,1,3,6,2]=>[5,1,6,2,4,7,3]
[4,7,5,1,6,2,3]=>[5,1,6,2,7,3,4]
[4,7,5,1,6,3,2]=>[5,1,6,2,7,4,3]
[4,7,5,2,1,3,6]=>[5,1,6,3,2,4,7]
[4,7,5,2,1,6,3]=>[5,1,6,3,2,7,4]
[4,7,5,2,3,1,6]=>[5,1,6,3,4,2,7]
[4,7,5,2,3,6,1]=>[5,1,6,3,4,7,2]
[4,7,5,2,6,1,3]=>[5,1,6,3,7,2,4]
[4,7,5,2,6,3,1]=>[5,1,6,3,7,4,2]
[4,7,5,3,1,2,6]=>[5,1,6,4,2,3,7]
[4,7,5,3,1,6,2]=>[5,1,6,4,2,7,3]
[4,7,5,3,2,1,6]=>[5,1,6,4,3,2,7]
[4,7,5,3,2,6,1]=>[5,1,6,4,3,7,2]
[4,7,5,3,6,1,2]=>[5,1,6,4,7,2,3]
[4,7,5,3,6,2,1]=>[5,1,6,4,7,3,2]
[4,7,5,6,1,2,3]=>[5,1,6,7,2,3,4]
[4,7,5,6,1,3,2]=>[5,1,6,7,2,4,3]
[4,7,5,6,2,1,3]=>[5,1,6,7,3,2,4]
[4,7,5,6,2,3,1]=>[5,1,6,7,3,4,2]
[4,7,5,6,3,1,2]=>[5,1,6,7,4,2,3]
[4,7,5,6,3,2,1]=>[5,1,6,7,4,3,2]
[4,7,6,1,2,3,5]=>[5,1,7,2,3,4,6]
[4,7,6,1,2,5,3]=>[5,1,7,2,3,6,4]
[4,7,6,1,3,2,5]=>[5,1,7,2,4,3,6]
[4,7,6,1,3,5,2]=>[5,1,7,2,4,6,3]
[4,7,6,1,5,2,3]=>[5,1,7,2,6,3,4]
[4,7,6,1,5,3,2]=>[5,1,7,2,6,4,3]
[4,7,6,2,1,3,5]=>[5,1,7,3,2,4,6]
[4,7,6,2,1,5,3]=>[5,1,7,3,2,6,4]
[4,7,6,2,3,1,5]=>[5,1,7,3,4,2,6]
[4,7,6,2,3,5,1]=>[5,1,7,3,4,6,2]
[4,7,6,2,5,1,3]=>[5,1,7,3,6,2,4]
[4,7,6,2,5,3,1]=>[5,1,7,3,6,4,2]
[4,7,6,3,1,2,5]=>[5,1,7,4,2,3,6]
[4,7,6,3,1,5,2]=>[5,1,7,4,2,6,3]
[4,7,6,3,2,1,5]=>[5,1,7,4,3,2,6]
[4,7,6,3,2,5,1]=>[5,1,7,4,3,6,2]
[4,7,6,3,5,1,2]=>[5,1,7,4,6,2,3]
[4,7,6,3,5,2,1]=>[5,1,7,4,6,3,2]
[4,7,6,5,1,2,3]=>[5,1,7,6,2,3,4]
[4,7,6,5,1,3,2]=>[5,1,7,6,2,4,3]
[4,7,6,5,2,1,3]=>[5,1,7,6,3,2,4]
[4,7,6,5,2,3,1]=>[5,1,7,6,3,4,2]
[4,7,6,5,3,1,2]=>[5,1,7,6,4,2,3]
[4,7,6,5,3,2,1]=>[5,1,7,6,4,3,2]
[5,1,2,3,4,6,7]=>[1,6,2,3,4,5,7]
[5,1,2,3,4,7,6]=>[6,2,3,4,5,1,7]
[5,1,2,3,6,4,7]=>[1,6,2,3,4,7,5]
[5,1,2,3,6,7,4]=>[6,2,3,4,7,1,5]
[5,1,2,3,7,4,6]=>[6,2,3,4,1,5,7]
[5,1,2,3,7,6,4]=>[6,2,3,4,1,7,5]
[5,1,2,4,3,6,7]=>[1,6,2,3,5,4,7]
[5,1,2,4,3,7,6]=>[6,2,3,5,4,1,7]
[5,1,2,4,6,3,7]=>[1,6,2,3,5,7,4]
[5,1,2,4,6,7,3]=>[6,2,3,5,7,1,4]
[5,1,2,4,7,3,6]=>[6,2,3,5,1,4,7]
[5,1,2,4,7,6,3]=>[6,2,3,5,1,7,4]
[5,1,2,6,3,4,7]=>[1,6,2,3,7,4,5]
[5,1,2,6,3,7,4]=>[6,2,3,7,4,1,5]
[5,1,2,6,4,3,7]=>[1,6,2,3,7,5,4]
[5,1,2,6,4,7,3]=>[6,2,3,7,5,1,4]
[5,1,2,6,7,3,4]=>[6,2,3,7,1,4,5]
[5,1,2,6,7,4,3]=>[6,2,3,7,1,5,4]
[5,1,2,7,3,4,6]=>[6,2,3,1,4,5,7]
[5,1,2,7,3,6,4]=>[6,2,3,1,4,7,5]
[5,1,2,7,4,3,6]=>[6,2,3,1,5,4,7]
[5,1,2,7,4,6,3]=>[6,2,3,1,5,7,4]
[5,1,2,7,6,3,4]=>[6,2,3,1,7,4,5]
[5,1,2,7,6,4,3]=>[6,2,3,1,7,5,4]
[5,1,3,2,4,6,7]=>[1,6,2,4,3,5,7]
[5,1,3,2,4,7,6]=>[6,2,4,3,5,1,7]
[5,1,3,2,6,4,7]=>[1,6,2,4,3,7,5]
[5,1,3,2,6,7,4]=>[6,2,4,3,7,1,5]
[5,1,3,2,7,4,6]=>[6,2,4,3,1,5,7]
[5,1,3,2,7,6,4]=>[6,2,4,3,1,7,5]
[5,1,3,4,2,6,7]=>[1,6,2,4,5,3,7]
[5,1,3,4,2,7,6]=>[6,2,4,5,3,1,7]
[5,1,3,4,6,2,7]=>[1,6,2,4,5,7,3]
[5,1,3,4,6,7,2]=>[6,2,4,5,7,1,3]
[5,1,3,4,7,2,6]=>[6,2,4,5,1,3,7]
[5,1,3,4,7,6,2]=>[6,2,4,5,1,7,3]
[5,1,3,6,2,4,7]=>[1,6,2,4,7,3,5]
[5,1,3,6,2,7,4]=>[6,2,4,7,3,1,5]
[5,1,3,6,4,2,7]=>[1,6,2,4,7,5,3]
[5,1,3,6,4,7,2]=>[6,2,4,7,5,1,3]
[5,1,3,6,7,2,4]=>[6,2,4,7,1,3,5]
[5,1,3,6,7,4,2]=>[6,2,4,7,1,5,3]
[5,1,3,7,2,4,6]=>[6,2,4,1,3,5,7]
[5,1,3,7,2,6,4]=>[6,2,4,1,3,7,5]
[5,1,3,7,4,2,6]=>[6,2,4,1,5,3,7]
[5,1,3,7,4,6,2]=>[6,2,4,1,5,7,3]
[5,1,3,7,6,2,4]=>[6,2,4,1,7,3,5]
[5,1,3,7,6,4,2]=>[6,2,4,1,7,5,3]
[5,1,4,2,3,6,7]=>[1,6,2,5,3,4,7]
[5,1,4,2,3,7,6]=>[6,2,5,3,4,1,7]
[5,1,4,2,6,3,7]=>[1,6,2,5,3,7,4]
[5,1,4,2,6,7,3]=>[6,2,5,3,7,1,4]
[5,1,4,2,7,3,6]=>[6,2,5,3,1,4,7]
[5,1,4,2,7,6,3]=>[6,2,5,3,1,7,4]
[5,1,4,3,2,6,7]=>[1,6,2,5,4,3,7]
[5,1,4,3,2,7,6]=>[6,2,5,4,3,1,7]
[5,1,4,3,6,2,7]=>[1,6,2,5,4,7,3]
[5,1,4,3,6,7,2]=>[6,2,5,4,7,1,3]
[5,1,4,3,7,2,6]=>[6,2,5,4,1,3,7]
[5,1,4,3,7,6,2]=>[6,2,5,4,1,7,3]
[5,1,4,6,2,3,7]=>[1,6,2,5,7,3,4]
[5,1,4,6,2,7,3]=>[6,2,5,7,3,1,4]
[5,1,4,6,3,2,7]=>[1,6,2,5,7,4,3]
[5,1,4,6,3,7,2]=>[6,2,5,7,4,1,3]
[5,1,4,6,7,2,3]=>[6,2,5,7,1,3,4]
[5,1,4,6,7,3,2]=>[6,2,5,7,1,4,3]
[5,1,4,7,2,3,6]=>[6,2,5,1,3,4,7]
[5,1,4,7,2,6,3]=>[6,2,5,1,3,7,4]
[5,1,4,7,3,2,6]=>[6,2,5,1,4,3,7]
[5,1,4,7,3,6,2]=>[6,2,5,1,4,7,3]
[5,1,4,7,6,2,3]=>[6,2,5,1,7,3,4]
[5,1,4,7,6,3,2]=>[6,2,5,1,7,4,3]
[5,1,6,2,3,4,7]=>[1,6,2,7,3,4,5]
[5,1,6,2,3,7,4]=>[6,2,7,3,4,1,5]
[5,1,6,2,4,3,7]=>[1,6,2,7,3,5,4]
[5,1,6,2,4,7,3]=>[6,2,7,3,5,1,4]
[5,1,6,2,7,3,4]=>[6,2,7,3,1,4,5]
[5,1,6,2,7,4,3]=>[6,2,7,3,1,5,4]
[5,1,6,3,2,4,7]=>[1,6,2,7,4,3,5]
[5,1,6,3,2,7,4]=>[6,2,7,4,3,1,5]
[5,1,6,3,4,2,7]=>[1,6,2,7,4,5,3]
[5,1,6,3,4,7,2]=>[6,2,7,4,5,1,3]
[5,1,6,3,7,2,4]=>[6,2,7,4,1,3,5]
[5,1,6,3,7,4,2]=>[6,2,7,4,1,5,3]
[5,1,6,4,2,3,7]=>[1,6,2,7,5,3,4]
[5,1,6,4,2,7,3]=>[6,2,7,5,3,1,4]
[5,1,6,4,3,2,7]=>[1,6,2,7,5,4,3]
[5,1,6,4,3,7,2]=>[6,2,7,5,4,1,3]
[5,1,6,4,7,2,3]=>[6,2,7,5,1,3,4]
[5,1,6,4,7,3,2]=>[6,2,7,5,1,4,3]
[5,1,6,7,2,3,4]=>[6,2,7,1,3,4,5]
[5,1,6,7,2,4,3]=>[6,2,7,1,3,5,4]
[5,1,6,7,3,2,4]=>[6,2,7,1,4,3,5]
[5,1,6,7,3,4,2]=>[6,2,7,1,4,5,3]
[5,1,6,7,4,2,3]=>[6,2,7,1,5,3,4]
[5,1,6,7,4,3,2]=>[6,2,7,1,5,4,3]
[5,1,7,2,3,4,6]=>[6,2,1,3,4,5,7]
[5,1,7,2,3,6,4]=>[6,2,1,3,4,7,5]
[5,1,7,2,4,3,6]=>[6,2,1,3,5,4,7]
[5,1,7,2,4,6,3]=>[6,2,1,3,5,7,4]
[5,1,7,2,6,3,4]=>[6,2,1,3,7,4,5]
[5,1,7,2,6,4,3]=>[6,2,1,3,7,5,4]
[5,1,7,3,2,4,6]=>[6,2,1,4,3,5,7]
[5,1,7,3,2,6,4]=>[6,2,1,4,3,7,5]
[5,1,7,3,4,2,6]=>[6,2,1,4,5,3,7]
[5,1,7,3,4,6,2]=>[6,2,1,4,5,7,3]
[5,1,7,3,6,2,4]=>[6,2,1,4,7,3,5]
[5,1,7,3,6,4,2]=>[6,2,1,4,7,5,3]
[5,1,7,4,2,3,6]=>[6,2,1,5,3,4,7]
[5,1,7,4,2,6,3]=>[6,2,1,5,3,7,4]
[5,1,7,4,3,2,6]=>[6,2,1,5,4,3,7]
[5,1,7,4,3,6,2]=>[6,2,1,5,4,7,3]
[5,1,7,4,6,2,3]=>[6,2,1,5,7,3,4]
[5,1,7,4,6,3,2]=>[6,2,1,5,7,4,3]
[5,1,7,6,2,3,4]=>[6,2,1,7,3,4,5]
[5,1,7,6,2,4,3]=>[6,2,1,7,3,5,4]
[5,1,7,6,3,2,4]=>[6,2,1,7,4,3,5]
[5,1,7,6,3,4,2]=>[6,2,1,7,4,5,3]
[5,1,7,6,4,2,3]=>[6,2,1,7,5,3,4]
[5,1,7,6,4,3,2]=>[6,2,1,7,5,4,3]
[5,2,1,3,4,6,7]=>[1,6,3,2,4,5,7]
[5,2,1,3,4,7,6]=>[6,3,2,4,5,1,7]
[5,2,1,3,6,4,7]=>[1,6,3,2,4,7,5]
[5,2,1,3,6,7,4]=>[6,3,2,4,7,1,5]
[5,2,1,3,7,4,6]=>[6,3,2,4,1,5,7]
[5,2,1,3,7,6,4]=>[6,3,2,4,1,7,5]
[5,2,1,4,3,6,7]=>[1,6,3,2,5,4,7]
[5,2,1,4,3,7,6]=>[6,3,2,5,4,1,7]
[5,2,1,4,6,3,7]=>[1,6,3,2,5,7,4]
[5,2,1,4,6,7,3]=>[6,3,2,5,7,1,4]
[5,2,1,4,7,3,6]=>[6,3,2,5,1,4,7]
[5,2,1,4,7,6,3]=>[6,3,2,5,1,7,4]
[5,2,1,6,3,4,7]=>[1,6,3,2,7,4,5]
[5,2,1,6,3,7,4]=>[6,3,2,7,4,1,5]
[5,2,1,6,4,3,7]=>[1,6,3,2,7,5,4]
[5,2,1,6,4,7,3]=>[6,3,2,7,5,1,4]
[5,2,1,6,7,3,4]=>[6,3,2,7,1,4,5]
[5,2,1,6,7,4,3]=>[6,3,2,7,1,5,4]
[5,2,1,7,3,4,6]=>[6,3,2,1,4,5,7]
[5,2,1,7,3,6,4]=>[6,3,2,1,4,7,5]
[5,2,1,7,4,3,6]=>[6,3,2,1,5,4,7]
[5,2,1,7,4,6,3]=>[6,3,2,1,5,7,4]
[5,2,1,7,6,3,4]=>[6,3,2,1,7,4,5]
[5,2,1,7,6,4,3]=>[6,3,2,1,7,5,4]
[5,2,3,1,4,6,7]=>[1,6,3,4,2,5,7]
[5,2,3,1,4,7,6]=>[6,3,4,2,5,1,7]
[5,2,3,1,6,4,7]=>[1,6,3,4,2,7,5]
[5,2,3,1,6,7,4]=>[6,3,4,2,7,1,5]
[5,2,3,1,7,4,6]=>[6,3,4,2,1,5,7]
[5,2,3,1,7,6,4]=>[6,3,4,2,1,7,5]
[5,2,3,4,1,6,7]=>[1,6,3,4,5,2,7]
[5,2,3,4,1,7,6]=>[6,3,4,5,2,1,7]
[5,2,3,4,6,1,7]=>[1,6,3,4,5,7,2]
[5,2,3,4,6,7,1]=>[6,3,4,5,7,1,2]
[5,2,3,4,7,1,6]=>[6,3,4,5,1,2,7]
[5,2,3,4,7,6,1]=>[6,3,4,5,1,7,2]
[5,2,3,6,1,4,7]=>[1,6,3,4,7,2,5]
[5,2,3,6,1,7,4]=>[6,3,4,7,2,1,5]
[5,2,3,6,4,1,7]=>[1,6,3,4,7,5,2]
[5,2,3,6,4,7,1]=>[6,3,4,7,5,1,2]
[5,2,3,6,7,1,4]=>[6,3,4,7,1,2,5]
[5,2,3,6,7,4,1]=>[6,3,4,7,1,5,2]
[5,2,3,7,1,4,6]=>[6,3,4,1,2,5,7]
[5,2,3,7,1,6,4]=>[6,3,4,1,2,7,5]
[5,2,3,7,4,1,6]=>[6,3,4,1,5,2,7]
[5,2,3,7,4,6,1]=>[6,3,4,1,5,7,2]
[5,2,3,7,6,1,4]=>[6,3,4,1,7,2,5]
[5,2,3,7,6,4,1]=>[6,3,4,1,7,5,2]
[5,2,4,1,3,6,7]=>[1,6,3,5,2,4,7]
[5,2,4,1,3,7,6]=>[6,3,5,2,4,1,7]
[5,2,4,1,6,3,7]=>[1,6,3,5,2,7,4]
[5,2,4,1,6,7,3]=>[6,3,5,2,7,1,4]
[5,2,4,1,7,3,6]=>[6,3,5,2,1,4,7]
[5,2,4,1,7,6,3]=>[6,3,5,2,1,7,4]
[5,2,4,3,1,6,7]=>[1,6,3,5,4,2,7]
[5,2,4,3,1,7,6]=>[6,3,5,4,2,1,7]
[5,2,4,3,6,1,7]=>[1,6,3,5,4,7,2]
[5,2,4,3,6,7,1]=>[6,3,5,4,7,1,2]
[5,2,4,3,7,1,6]=>[6,3,5,4,1,2,7]
[5,2,4,3,7,6,1]=>[6,3,5,4,1,7,2]
[5,2,4,6,1,3,7]=>[1,6,3,5,7,2,4]
[5,2,4,6,1,7,3]=>[6,3,5,7,2,1,4]
[5,2,4,6,3,1,7]=>[1,6,3,5,7,4,2]
[5,2,4,6,3,7,1]=>[6,3,5,7,4,1,2]
[5,2,4,6,7,1,3]=>[6,3,5,7,1,2,4]
[5,2,4,6,7,3,1]=>[6,3,5,7,1,4,2]
[5,2,4,7,1,3,6]=>[6,3,5,1,2,4,7]
[5,2,4,7,1,6,3]=>[6,3,5,1,2,7,4]
[5,2,4,7,3,1,6]=>[6,3,5,1,4,2,7]
[5,2,4,7,3,6,1]=>[6,3,5,1,4,7,2]
[5,2,4,7,6,1,3]=>[6,3,5,1,7,2,4]
[5,2,4,7,6,3,1]=>[6,3,5,1,7,4,2]
[5,2,6,1,3,4,7]=>[1,6,3,7,2,4,5]
[5,2,6,1,3,7,4]=>[6,3,7,2,4,1,5]
[5,2,6,1,4,3,7]=>[1,6,3,7,2,5,4]
[5,2,6,1,4,7,3]=>[6,3,7,2,5,1,4]
[5,2,6,1,7,3,4]=>[6,3,7,2,1,4,5]
[5,2,6,1,7,4,3]=>[6,3,7,2,1,5,4]
[5,2,6,3,1,4,7]=>[1,6,3,7,4,2,5]
[5,2,6,3,1,7,4]=>[6,3,7,4,2,1,5]
[5,2,6,3,4,1,7]=>[1,6,3,7,4,5,2]
[5,2,6,3,4,7,1]=>[6,3,7,4,5,1,2]
[5,2,6,3,7,1,4]=>[6,3,7,4,1,2,5]
[5,2,6,3,7,4,1]=>[6,3,7,4,1,5,2]
[5,2,6,4,1,3,7]=>[1,6,3,7,5,2,4]
[5,2,6,4,1,7,3]=>[6,3,7,5,2,1,4]
[5,2,6,4,3,1,7]=>[1,6,3,7,5,4,2]
[5,2,6,4,3,7,1]=>[6,3,7,5,4,1,2]
[5,2,6,4,7,1,3]=>[6,3,7,5,1,2,4]
[5,2,6,4,7,3,1]=>[6,3,7,5,1,4,2]
[5,2,6,7,1,3,4]=>[6,3,7,1,2,4,5]
[5,2,6,7,1,4,3]=>[6,3,7,1,2,5,4]
[5,2,6,7,3,1,4]=>[6,3,7,1,4,2,5]
[5,2,6,7,3,4,1]=>[6,3,7,1,4,5,2]
[5,2,6,7,4,1,3]=>[6,3,7,1,5,2,4]
[5,2,6,7,4,3,1]=>[6,3,7,1,5,4,2]
[5,2,7,1,3,4,6]=>[6,3,1,2,4,5,7]
[5,2,7,1,3,6,4]=>[6,3,1,2,4,7,5]
[5,2,7,1,4,3,6]=>[6,3,1,2,5,4,7]
[5,2,7,1,4,6,3]=>[6,3,1,2,5,7,4]
[5,2,7,1,6,3,4]=>[6,3,1,2,7,4,5]
[5,2,7,1,6,4,3]=>[6,3,1,2,7,5,4]
[5,2,7,3,1,4,6]=>[6,3,1,4,2,5,7]
[5,2,7,3,1,6,4]=>[6,3,1,4,2,7,5]
[5,2,7,3,4,1,6]=>[6,3,1,4,5,2,7]
[5,2,7,3,4,6,1]=>[6,3,1,4,5,7,2]
[5,2,7,3,6,1,4]=>[6,3,1,4,7,2,5]
[5,2,7,3,6,4,1]=>[6,3,1,4,7,5,2]
[5,2,7,4,1,3,6]=>[6,3,1,5,2,4,7]
[5,2,7,4,1,6,3]=>[6,3,1,5,2,7,4]
[5,2,7,4,3,1,6]=>[6,3,1,5,4,2,7]
[5,2,7,4,3,6,1]=>[6,3,1,5,4,7,2]
[5,2,7,4,6,1,3]=>[6,3,1,5,7,2,4]
[5,2,7,4,6,3,1]=>[6,3,1,5,7,4,2]
[5,2,7,6,1,3,4]=>[6,3,1,7,2,4,5]
[5,2,7,6,1,4,3]=>[6,3,1,7,2,5,4]
[5,2,7,6,3,1,4]=>[6,3,1,7,4,2,5]
[5,2,7,6,3,4,1]=>[6,3,1,7,4,5,2]
[5,2,7,6,4,1,3]=>[6,3,1,7,5,2,4]
[5,2,7,6,4,3,1]=>[6,3,1,7,5,4,2]
[5,3,1,2,4,6,7]=>[1,6,4,2,3,5,7]
[5,3,1,2,4,7,6]=>[6,4,2,3,5,1,7]
[5,3,1,2,6,4,7]=>[1,6,4,2,3,7,5]
[5,3,1,2,6,7,4]=>[6,4,2,3,7,1,5]
[5,3,1,2,7,4,6]=>[6,4,2,3,1,5,7]
[5,3,1,2,7,6,4]=>[6,4,2,3,1,7,5]
[5,3,1,4,2,6,7]=>[1,6,4,2,5,3,7]
[5,3,1,4,2,7,6]=>[6,4,2,5,3,1,7]
[5,3,1,4,6,2,7]=>[1,6,4,2,5,7,3]
[5,3,1,4,6,7,2]=>[6,4,2,5,7,1,3]
[5,3,1,4,7,2,6]=>[6,4,2,5,1,3,7]
[5,3,1,4,7,6,2]=>[6,4,2,5,1,7,3]
[5,3,1,6,2,4,7]=>[1,6,4,2,7,3,5]
[5,3,1,6,2,7,4]=>[6,4,2,7,3,1,5]
[5,3,1,6,4,2,7]=>[1,6,4,2,7,5,3]
[5,3,1,6,4,7,2]=>[6,4,2,7,5,1,3]
[5,3,1,6,7,2,4]=>[6,4,2,7,1,3,5]
[5,3,1,6,7,4,2]=>[6,4,2,7,1,5,3]
[5,3,1,7,2,4,6]=>[6,4,2,1,3,5,7]
[5,3,1,7,2,6,4]=>[6,4,2,1,3,7,5]
[5,3,1,7,4,2,6]=>[6,4,2,1,5,3,7]
[5,3,1,7,4,6,2]=>[6,4,2,1,5,7,3]
[5,3,1,7,6,2,4]=>[6,4,2,1,7,3,5]
[5,3,1,7,6,4,2]=>[6,4,2,1,7,5,3]
[5,3,2,1,4,6,7]=>[1,6,4,3,2,5,7]
[5,3,2,1,4,7,6]=>[6,4,3,2,5,1,7]
[5,3,2,1,6,4,7]=>[1,6,4,3,2,7,5]
[5,3,2,1,6,7,4]=>[6,4,3,2,7,1,5]
[5,3,2,1,7,4,6]=>[6,4,3,2,1,5,7]
[5,3,2,1,7,6,4]=>[6,4,3,2,1,7,5]
[5,3,2,4,1,6,7]=>[1,6,4,3,5,2,7]
[5,3,2,4,1,7,6]=>[6,4,3,5,2,1,7]
[5,3,2,4,6,1,7]=>[1,6,4,3,5,7,2]
[5,3,2,4,6,7,1]=>[6,4,3,5,7,1,2]
[5,3,2,4,7,1,6]=>[6,4,3,5,1,2,7]
[5,3,2,4,7,6,1]=>[6,4,3,5,1,7,2]
[5,3,2,6,1,4,7]=>[1,6,4,3,7,2,5]
[5,3,2,6,1,7,4]=>[6,4,3,7,2,1,5]
[5,3,2,6,4,1,7]=>[1,6,4,3,7,5,2]
[5,3,2,6,4,7,1]=>[6,4,3,7,5,1,2]
[5,3,2,6,7,1,4]=>[6,4,3,7,1,2,5]
[5,3,2,6,7,4,1]=>[6,4,3,7,1,5,2]
[5,3,2,7,1,4,6]=>[6,4,3,1,2,5,7]
[5,3,2,7,1,6,4]=>[6,4,3,1,2,7,5]
[5,3,2,7,4,1,6]=>[6,4,3,1,5,2,7]
[5,3,2,7,4,6,1]=>[6,4,3,1,5,7,2]
[5,3,2,7,6,1,4]=>[6,4,3,1,7,2,5]
[5,3,2,7,6,4,1]=>[6,4,3,1,7,5,2]
[5,3,4,1,2,6,7]=>[1,6,4,5,2,3,7]
[5,3,4,1,2,7,6]=>[6,4,5,2,3,1,7]
[5,3,4,1,6,2,7]=>[1,6,4,5,2,7,3]
[5,3,4,1,6,7,2]=>[6,4,5,2,7,1,3]
[5,3,4,1,7,2,6]=>[6,4,5,2,1,3,7]
[5,3,4,1,7,6,2]=>[6,4,5,2,1,7,3]
[5,3,4,2,1,6,7]=>[1,6,4,5,3,2,7]
[5,3,4,2,1,7,6]=>[6,4,5,3,2,1,7]
[5,3,4,2,6,1,7]=>[1,6,4,5,3,7,2]
[5,3,4,2,6,7,1]=>[6,4,5,3,7,1,2]
[5,3,4,2,7,1,6]=>[6,4,5,3,1,2,7]
[5,3,4,2,7,6,1]=>[6,4,5,3,1,7,2]
[5,3,4,6,1,2,7]=>[1,6,4,5,7,2,3]
[5,3,4,6,1,7,2]=>[6,4,5,7,2,1,3]
[5,3,4,6,2,1,7]=>[1,6,4,5,7,3,2]
[5,3,4,6,2,7,1]=>[6,4,5,7,3,1,2]
[5,3,4,6,7,1,2]=>[6,4,5,7,1,2,3]
[5,3,4,6,7,2,1]=>[6,4,5,7,1,3,2]
[5,3,4,7,1,2,6]=>[6,4,5,1,2,3,7]
[5,3,4,7,1,6,2]=>[6,4,5,1,2,7,3]
[5,3,4,7,2,1,6]=>[6,4,5,1,3,2,7]
[5,3,4,7,2,6,1]=>[6,4,5,1,3,7,2]
[5,3,4,7,6,1,2]=>[6,4,5,1,7,2,3]
[5,3,4,7,6,2,1]=>[6,4,5,1,7,3,2]
[5,3,6,1,2,4,7]=>[1,6,4,7,2,3,5]
[5,3,6,1,2,7,4]=>[6,4,7,2,3,1,5]
[5,3,6,1,4,2,7]=>[1,6,4,7,2,5,3]
[5,3,6,1,4,7,2]=>[6,4,7,2,5,1,3]
[5,3,6,1,7,2,4]=>[6,4,7,2,1,3,5]
[5,3,6,1,7,4,2]=>[6,4,7,2,1,5,3]
[5,3,6,2,1,4,7]=>[1,6,4,7,3,2,5]
[5,3,6,2,1,7,4]=>[6,4,7,3,2,1,5]
[5,3,6,2,4,1,7]=>[1,6,4,7,3,5,2]
[5,3,6,2,4,7,1]=>[6,4,7,3,5,1,2]
[5,3,6,2,7,1,4]=>[6,4,7,3,1,2,5]
[5,3,6,2,7,4,1]=>[6,4,7,3,1,5,2]
[5,3,6,4,1,2,7]=>[1,6,4,7,5,2,3]
[5,3,6,4,1,7,2]=>[6,4,7,5,2,1,3]
[5,3,6,4,2,1,7]=>[1,6,4,7,5,3,2]
[5,3,6,4,2,7,1]=>[6,4,7,5,3,1,2]
[5,3,6,4,7,1,2]=>[6,4,7,5,1,2,3]
[5,3,6,4,7,2,1]=>[6,4,7,5,1,3,2]
[5,3,6,7,1,2,4]=>[6,4,7,1,2,3,5]
[5,3,6,7,1,4,2]=>[6,4,7,1,2,5,3]
[5,3,6,7,2,1,4]=>[6,4,7,1,3,2,5]
[5,3,6,7,2,4,1]=>[6,4,7,1,3,5,2]
[5,3,6,7,4,1,2]=>[6,4,7,1,5,2,3]
[5,3,6,7,4,2,1]=>[6,4,7,1,5,3,2]
[5,3,7,1,2,4,6]=>[6,4,1,2,3,5,7]
[5,3,7,1,2,6,4]=>[6,4,1,2,3,7,5]
[5,3,7,1,4,2,6]=>[6,4,1,2,5,3,7]
[5,3,7,1,4,6,2]=>[6,4,1,2,5,7,3]
[5,3,7,1,6,2,4]=>[6,4,1,2,7,3,5]
[5,3,7,1,6,4,2]=>[6,4,1,2,7,5,3]
[5,3,7,2,1,4,6]=>[6,4,1,3,2,5,7]
[5,3,7,2,1,6,4]=>[6,4,1,3,2,7,5]
[5,3,7,2,4,1,6]=>[6,4,1,3,5,2,7]
[5,3,7,2,4,6,1]=>[6,4,1,3,5,7,2]
[5,3,7,2,6,1,4]=>[6,4,1,3,7,2,5]
[5,3,7,2,6,4,1]=>[6,4,1,3,7,5,2]
[5,3,7,4,1,2,6]=>[6,4,1,5,2,3,7]
[5,3,7,4,1,6,2]=>[6,4,1,5,2,7,3]
[5,3,7,4,2,1,6]=>[6,4,1,5,3,2,7]
[5,3,7,4,2,6,1]=>[6,4,1,5,3,7,2]
[5,3,7,4,6,1,2]=>[6,4,1,5,7,2,3]
[5,3,7,4,6,2,1]=>[6,4,1,5,7,3,2]
[5,3,7,6,1,2,4]=>[6,4,1,7,2,3,5]
[5,3,7,6,1,4,2]=>[6,4,1,7,2,5,3]
[5,3,7,6,2,1,4]=>[6,4,1,7,3,2,5]
[5,3,7,6,2,4,1]=>[6,4,1,7,3,5,2]
[5,3,7,6,4,1,2]=>[6,4,1,7,5,2,3]
[5,3,7,6,4,2,1]=>[6,4,1,7,5,3,2]
[5,4,1,2,3,6,7]=>[1,6,5,2,3,4,7]
[5,4,1,2,3,7,6]=>[6,5,2,3,4,1,7]
[5,4,1,2,6,3,7]=>[1,6,5,2,3,7,4]
[5,4,1,2,6,7,3]=>[6,5,2,3,7,1,4]
[5,4,1,2,7,3,6]=>[6,5,2,3,1,4,7]
[5,4,1,2,7,6,3]=>[6,5,2,3,1,7,4]
[5,4,1,3,2,6,7]=>[1,6,5,2,4,3,7]
[5,4,1,3,2,7,6]=>[6,5,2,4,3,1,7]
[5,4,1,3,6,2,7]=>[1,6,5,2,4,7,3]
[5,4,1,3,6,7,2]=>[6,5,2,4,7,1,3]
[5,4,1,3,7,2,6]=>[6,5,2,4,1,3,7]
[5,4,1,3,7,6,2]=>[6,5,2,4,1,7,3]
[5,4,1,6,2,3,7]=>[1,6,5,2,7,3,4]
[5,4,1,6,2,7,3]=>[6,5,2,7,3,1,4]
[5,4,1,6,3,2,7]=>[1,6,5,2,7,4,3]
[5,4,1,6,3,7,2]=>[6,5,2,7,4,1,3]
[5,4,1,6,7,2,3]=>[6,5,2,7,1,3,4]
[5,4,1,6,7,3,2]=>[6,5,2,7,1,4,3]
[5,4,1,7,2,3,6]=>[6,5,2,1,3,4,7]
[5,4,1,7,2,6,3]=>[6,5,2,1,3,7,4]
[5,4,1,7,3,2,6]=>[6,5,2,1,4,3,7]
[5,4,1,7,3,6,2]=>[6,5,2,1,4,7,3]
[5,4,1,7,6,2,3]=>[6,5,2,1,7,3,4]
[5,4,1,7,6,3,2]=>[6,5,2,1,7,4,3]
[5,4,2,1,3,6,7]=>[1,6,5,3,2,4,7]
[5,4,2,1,3,7,6]=>[6,5,3,2,4,1,7]
[5,4,2,1,6,3,7]=>[1,6,5,3,2,7,4]
[5,4,2,1,6,7,3]=>[6,5,3,2,7,1,4]
[5,4,2,1,7,3,6]=>[6,5,3,2,1,4,7]
[5,4,2,1,7,6,3]=>[6,5,3,2,1,7,4]
[5,4,2,3,1,6,7]=>[1,6,5,3,4,2,7]
[5,4,2,3,1,7,6]=>[6,5,3,4,2,1,7]
[5,4,2,3,6,1,7]=>[1,6,5,3,4,7,2]
[5,4,2,3,6,7,1]=>[6,5,3,4,7,1,2]
[5,4,2,3,7,1,6]=>[6,5,3,4,1,2,7]
[5,4,2,3,7,6,1]=>[6,5,3,4,1,7,2]
[5,4,2,6,1,3,7]=>[1,6,5,3,7,2,4]
[5,4,2,6,1,7,3]=>[6,5,3,7,2,1,4]
[5,4,2,6,3,1,7]=>[1,6,5,3,7,4,2]
[5,4,2,6,3,7,1]=>[6,5,3,7,4,1,2]
[5,4,2,6,7,1,3]=>[6,5,3,7,1,2,4]
[5,4,2,6,7,3,1]=>[6,5,3,7,1,4,2]
[5,4,2,7,1,3,6]=>[6,5,3,1,2,4,7]
[5,4,2,7,1,6,3]=>[6,5,3,1,2,7,4]
[5,4,2,7,3,1,6]=>[6,5,3,1,4,2,7]
[5,4,2,7,3,6,1]=>[6,5,3,1,4,7,2]
[5,4,2,7,6,1,3]=>[6,5,3,1,7,2,4]
[5,4,2,7,6,3,1]=>[6,5,3,1,7,4,2]
[5,4,3,1,2,6,7]=>[1,6,5,4,2,3,7]
[5,4,3,1,2,7,6]=>[6,5,4,2,3,1,7]
[5,4,3,1,6,2,7]=>[1,6,5,4,2,7,3]
[5,4,3,1,6,7,2]=>[6,5,4,2,7,1,3]
[5,4,3,1,7,2,6]=>[6,5,4,2,1,3,7]
[5,4,3,1,7,6,2]=>[6,5,4,2,1,7,3]
[5,4,3,2,1,6,7]=>[1,6,5,4,3,2,7]
[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]
[5,4,3,2,6,1,7]=>[1,6,5,4,3,7,2]
[5,4,3,2,6,7,1]=>[6,5,4,3,7,1,2]
[5,4,3,2,7,1,6]=>[6,5,4,3,1,2,7]
[5,4,3,2,7,6,1]=>[6,5,4,3,1,7,2]
[5,4,3,6,1,2,7]=>[1,6,5,4,7,2,3]
[5,4,3,6,1,7,2]=>[6,5,4,7,2,1,3]
[5,4,3,6,2,1,7]=>[1,6,5,4,7,3,2]
[5,4,3,6,2,7,1]=>[6,5,4,7,3,1,2]
[5,4,3,6,7,1,2]=>[6,5,4,7,1,2,3]
[5,4,3,6,7,2,1]=>[6,5,4,7,1,3,2]
[5,4,3,7,1,2,6]=>[6,5,4,1,2,3,7]
[5,4,3,7,1,6,2]=>[6,5,4,1,2,7,3]
[5,4,3,7,2,1,6]=>[6,5,4,1,3,2,7]
[5,4,3,7,2,6,1]=>[6,5,4,1,3,7,2]
[5,4,3,7,6,1,2]=>[6,5,4,1,7,2,3]
[5,4,3,7,6,2,1]=>[6,5,4,1,7,3,2]
[5,4,6,1,2,3,7]=>[1,6,5,7,2,3,4]
[5,4,6,1,2,7,3]=>[6,5,7,2,3,1,4]
[5,4,6,1,3,2,7]=>[1,6,5,7,2,4,3]
[5,4,6,1,3,7,2]=>[6,5,7,2,4,1,3]
[5,4,6,1,7,2,3]=>[6,5,7,2,1,3,4]
[5,4,6,1,7,3,2]=>[6,5,7,2,1,4,3]
[5,4,6,2,1,3,7]=>[1,6,5,7,3,2,4]
[5,4,6,2,1,7,3]=>[6,5,7,3,2,1,4]
[5,4,6,2,3,1,7]=>[1,6,5,7,3,4,2]
[5,4,6,2,3,7,1]=>[6,5,7,3,4,1,2]
[5,4,6,2,7,1,3]=>[6,5,7,3,1,2,4]
[5,4,6,2,7,3,1]=>[6,5,7,3,1,4,2]
[5,4,6,3,1,2,7]=>[1,6,5,7,4,2,3]
[5,4,6,3,1,7,2]=>[6,5,7,4,2,1,3]
[5,4,6,3,2,1,7]=>[1,6,5,7,4,3,2]
[5,4,6,3,2,7,1]=>[6,5,7,4,3,1,2]
[5,4,6,3,7,1,2]=>[6,5,7,4,1,2,3]
[5,4,6,3,7,2,1]=>[6,5,7,4,1,3,2]
[5,4,6,7,1,2,3]=>[6,5,7,1,2,3,4]
[5,4,6,7,1,3,2]=>[6,5,7,1,2,4,3]
[5,4,6,7,2,1,3]=>[6,5,7,1,3,2,4]
[5,4,6,7,2,3,1]=>[6,5,7,1,3,4,2]
[5,4,6,7,3,1,2]=>[6,5,7,1,4,2,3]
[5,4,6,7,3,2,1]=>[6,5,7,1,4,3,2]
[5,4,7,1,2,3,6]=>[6,5,1,2,3,4,7]
[5,4,7,1,2,6,3]=>[6,5,1,2,3,7,4]
[5,4,7,1,3,2,6]=>[6,5,1,2,4,3,7]
[5,4,7,1,3,6,2]=>[6,5,1,2,4,7,3]
[5,4,7,1,6,2,3]=>[6,5,1,2,7,3,4]
[5,4,7,1,6,3,2]=>[6,5,1,2,7,4,3]
[5,4,7,2,1,3,6]=>[6,5,1,3,2,4,7]
[5,4,7,2,1,6,3]=>[6,5,1,3,2,7,4]
[5,4,7,2,3,1,6]=>[6,5,1,3,4,2,7]
[5,4,7,2,3,6,1]=>[6,5,1,3,4,7,2]
[5,4,7,2,6,1,3]=>[6,5,1,3,7,2,4]
[5,4,7,2,6,3,1]=>[6,5,1,3,7,4,2]
[5,4,7,3,1,2,6]=>[6,5,1,4,2,3,7]
[5,4,7,3,1,6,2]=>[6,5,1,4,2,7,3]
[5,4,7,3,2,1,6]=>[6,5,1,4,3,2,7]
[5,4,7,3,2,6,1]=>[6,5,1,4,3,7,2]
[5,4,7,3,6,1,2]=>[6,5,1,4,7,2,3]
[5,4,7,3,6,2,1]=>[6,5,1,4,7,3,2]
[5,4,7,6,1,2,3]=>[6,5,1,7,2,3,4]
[5,4,7,6,1,3,2]=>[6,5,1,7,2,4,3]
[5,4,7,6,2,1,3]=>[6,5,1,7,3,2,4]
[5,4,7,6,2,3,1]=>[6,5,1,7,3,4,2]
[5,4,7,6,3,1,2]=>[6,5,1,7,4,2,3]
[5,4,7,6,3,2,1]=>[6,5,1,7,4,3,2]
[5,6,1,2,3,4,7]=>[1,6,7,2,3,4,5]
[5,6,1,2,3,7,4]=>[6,7,2,3,4,1,5]
[5,6,1,2,4,3,7]=>[1,6,7,2,3,5,4]
[5,6,1,2,4,7,3]=>[6,7,2,3,5,1,4]
[5,6,1,2,7,3,4]=>[6,7,2,3,1,4,5]
[5,6,1,2,7,4,3]=>[6,7,2,3,1,5,4]
[5,6,1,3,2,4,7]=>[1,6,7,2,4,3,5]
[5,6,1,3,2,7,4]=>[6,7,2,4,3,1,5]
[5,6,1,3,4,2,7]=>[1,6,7,2,4,5,3]
[5,6,1,3,4,7,2]=>[6,7,2,4,5,1,3]
[5,6,1,3,7,2,4]=>[6,7,2,4,1,3,5]
[5,6,1,3,7,4,2]=>[6,7,2,4,1,5,3]
[5,6,1,4,2,3,7]=>[1,6,7,2,5,3,4]
[5,6,1,4,2,7,3]=>[6,7,2,5,3,1,4]
[5,6,1,4,3,2,7]=>[1,6,7,2,5,4,3]
[5,6,1,4,3,7,2]=>[6,7,2,5,4,1,3]
[5,6,1,4,7,2,3]=>[6,7,2,5,1,3,4]
[5,6,1,4,7,3,2]=>[6,7,2,5,1,4,3]
[5,6,1,7,2,3,4]=>[6,7,2,1,3,4,5]
[5,6,1,7,2,4,3]=>[6,7,2,1,3,5,4]
[5,6,1,7,3,2,4]=>[6,7,2,1,4,3,5]
[5,6,1,7,3,4,2]=>[6,7,2,1,4,5,3]
[5,6,1,7,4,2,3]=>[6,7,2,1,5,3,4]
[5,6,1,7,4,3,2]=>[6,7,2,1,5,4,3]
[5,6,2,1,3,4,7]=>[1,6,7,3,2,4,5]
[5,6,2,1,3,7,4]=>[6,7,3,2,4,1,5]
[5,6,2,1,4,3,7]=>[1,6,7,3,2,5,4]
[5,6,2,1,4,7,3]=>[6,7,3,2,5,1,4]
[5,6,2,1,7,3,4]=>[6,7,3,2,1,4,5]
[5,6,2,1,7,4,3]=>[6,7,3,2,1,5,4]
[5,6,2,3,1,4,7]=>[1,6,7,3,4,2,5]
[5,6,2,3,1,7,4]=>[6,7,3,4,2,1,5]
[5,6,2,3,4,1,7]=>[1,6,7,3,4,5,2]
[5,6,2,3,4,7,1]=>[6,7,3,4,5,1,2]
[5,6,2,3,7,1,4]=>[6,7,3,4,1,2,5]
[5,6,2,3,7,4,1]=>[6,7,3,4,1,5,2]
[5,6,2,4,1,3,7]=>[1,6,7,3,5,2,4]
[5,6,2,4,1,7,3]=>[6,7,3,5,2,1,4]
[5,6,2,4,3,1,7]=>[1,6,7,3,5,4,2]
[5,6,2,4,3,7,1]=>[6,7,3,5,4,1,2]
[5,6,2,4,7,1,3]=>[6,7,3,5,1,2,4]
[5,6,2,4,7,3,1]=>[6,7,3,5,1,4,2]
[5,6,2,7,1,3,4]=>[6,7,3,1,2,4,5]
[5,6,2,7,1,4,3]=>[6,7,3,1,2,5,4]
[5,6,2,7,3,1,4]=>[6,7,3,1,4,2,5]
[5,6,2,7,3,4,1]=>[6,7,3,1,4,5,2]
[5,6,2,7,4,1,3]=>[6,7,3,1,5,2,4]
[5,6,2,7,4,3,1]=>[6,7,3,1,5,4,2]
[5,6,3,1,2,4,7]=>[1,6,7,4,2,3,5]
[5,6,3,1,2,7,4]=>[6,7,4,2,3,1,5]
[5,6,3,1,4,2,7]=>[1,6,7,4,2,5,3]
[5,6,3,1,4,7,2]=>[6,7,4,2,5,1,3]
[5,6,3,1,7,2,4]=>[6,7,4,2,1,3,5]
[5,6,3,1,7,4,2]=>[6,7,4,2,1,5,3]
[5,6,3,2,1,4,7]=>[1,6,7,4,3,2,5]
[5,6,3,2,1,7,4]=>[6,7,4,3,2,1,5]
[5,6,3,2,4,1,7]=>[1,6,7,4,3,5,2]
[5,6,3,2,4,7,1]=>[6,7,4,3,5,1,2]
[5,6,3,2,7,1,4]=>[6,7,4,3,1,2,5]
[5,6,3,2,7,4,1]=>[6,7,4,3,1,5,2]
[5,6,3,4,1,2,7]=>[1,6,7,4,5,2,3]
[5,6,3,4,1,7,2]=>[6,7,4,5,2,1,3]
[5,6,3,4,2,1,7]=>[1,6,7,4,5,3,2]
[5,6,3,4,2,7,1]=>[6,7,4,5,3,1,2]
[5,6,3,4,7,1,2]=>[6,7,4,5,1,2,3]
[5,6,3,4,7,2,1]=>[6,7,4,5,1,3,2]
[5,6,3,7,1,2,4]=>[6,7,4,1,2,3,5]
[5,6,3,7,1,4,2]=>[6,7,4,1,2,5,3]
[5,6,3,7,2,1,4]=>[6,7,4,1,3,2,5]
[5,6,3,7,2,4,1]=>[6,7,4,1,3,5,2]
[5,6,3,7,4,1,2]=>[6,7,4,1,5,2,3]
[5,6,3,7,4,2,1]=>[6,7,4,1,5,3,2]
[5,6,4,1,2,3,7]=>[1,6,7,5,2,3,4]
[5,6,4,1,2,7,3]=>[6,7,5,2,3,1,4]
[5,6,4,1,3,2,7]=>[1,6,7,5,2,4,3]
[5,6,4,1,3,7,2]=>[6,7,5,2,4,1,3]
[5,6,4,1,7,2,3]=>[6,7,5,2,1,3,4]
[5,6,4,1,7,3,2]=>[6,7,5,2,1,4,3]
[5,6,4,2,1,3,7]=>[1,6,7,5,3,2,4]
[5,6,4,2,1,7,3]=>[6,7,5,3,2,1,4]
[5,6,4,2,3,1,7]=>[1,6,7,5,3,4,2]
[5,6,4,2,3,7,1]=>[6,7,5,3,4,1,2]
[5,6,4,2,7,1,3]=>[6,7,5,3,1,2,4]
[5,6,4,2,7,3,1]=>[6,7,5,3,1,4,2]
[5,6,4,3,1,2,7]=>[1,6,7,5,4,2,3]
[5,6,4,3,1,7,2]=>[6,7,5,4,2,1,3]
[5,6,4,3,2,1,7]=>[1,6,7,5,4,3,2]
[5,6,4,3,2,7,1]=>[6,7,5,4,3,1,2]
[5,6,4,3,7,1,2]=>[6,7,5,4,1,2,3]
[5,6,4,3,7,2,1]=>[6,7,5,4,1,3,2]
[5,6,4,7,1,2,3]=>[6,7,5,1,2,3,4]
[5,6,4,7,1,3,2]=>[6,7,5,1,2,4,3]
[5,6,4,7,2,1,3]=>[6,7,5,1,3,2,4]
[5,6,4,7,2,3,1]=>[6,7,5,1,3,4,2]
[5,6,4,7,3,1,2]=>[6,7,5,1,4,2,3]
[5,6,4,7,3,2,1]=>[6,7,5,1,4,3,2]
[5,6,7,1,2,3,4]=>[6,7,1,2,3,4,5]
[5,6,7,1,2,4,3]=>[6,7,1,2,3,5,4]
[5,6,7,1,3,2,4]=>[6,7,1,2,4,3,5]
[5,6,7,1,3,4,2]=>[6,7,1,2,4,5,3]
[5,6,7,1,4,2,3]=>[6,7,1,2,5,3,4]
[5,6,7,1,4,3,2]=>[6,7,1,2,5,4,3]
[5,6,7,2,1,3,4]=>[6,7,1,3,2,4,5]
[5,6,7,2,1,4,3]=>[6,7,1,3,2,5,4]
[5,6,7,2,3,1,4]=>[6,7,1,3,4,2,5]
[5,6,7,2,3,4,1]=>[6,7,1,3,4,5,2]
[5,6,7,2,4,1,3]=>[6,7,1,3,5,2,4]
[5,6,7,2,4,3,1]=>[6,7,1,3,5,4,2]
[5,6,7,3,1,2,4]=>[6,7,1,4,2,3,5]
[5,6,7,3,1,4,2]=>[6,7,1,4,2,5,3]
[5,6,7,3,2,1,4]=>[6,7,1,4,3,2,5]
[5,6,7,3,2,4,1]=>[6,7,1,4,3,5,2]
[5,6,7,3,4,1,2]=>[6,7,1,4,5,2,3]
[5,6,7,3,4,2,1]=>[6,7,1,4,5,3,2]
[5,6,7,4,1,2,3]=>[6,7,1,5,2,3,4]
[5,6,7,4,1,3,2]=>[6,7,1,5,2,4,3]
[5,6,7,4,2,1,3]=>[6,7,1,5,3,2,4]
[5,6,7,4,2,3,1]=>[6,7,1,5,3,4,2]
[5,6,7,4,3,1,2]=>[6,7,1,5,4,2,3]
[5,6,7,4,3,2,1]=>[6,7,1,5,4,3,2]
[5,7,1,2,3,4,6]=>[6,1,2,3,4,5,7]
[5,7,1,2,3,6,4]=>[6,1,2,3,4,7,5]
[5,7,1,2,4,3,6]=>[6,1,2,3,5,4,7]
[5,7,1,2,4,6,3]=>[6,1,2,3,5,7,4]
[5,7,1,2,6,3,4]=>[6,1,2,3,7,4,5]
[5,7,1,2,6,4,3]=>[6,1,2,3,7,5,4]
[5,7,1,3,2,4,6]=>[6,1,2,4,3,5,7]
[5,7,1,3,2,6,4]=>[6,1,2,4,3,7,5]
[5,7,1,3,4,2,6]=>[6,1,2,4,5,3,7]
[5,7,1,3,4,6,2]=>[6,1,2,4,5,7,3]
[5,7,1,3,6,2,4]=>[6,1,2,4,7,3,5]
[5,7,1,3,6,4,2]=>[6,1,2,4,7,5,3]
[5,7,1,4,2,3,6]=>[6,1,2,5,3,4,7]
[5,7,1,4,2,6,3]=>[6,1,2,5,3,7,4]
[5,7,1,4,3,2,6]=>[6,1,2,5,4,3,7]
[5,7,1,4,3,6,2]=>[6,1,2,5,4,7,3]
[5,7,1,4,6,2,3]=>[6,1,2,5,7,3,4]
[5,7,1,4,6,3,2]=>[6,1,2,5,7,4,3]
[5,7,1,6,2,3,4]=>[6,1,2,7,3,4,5]
[5,7,1,6,2,4,3]=>[6,1,2,7,3,5,4]
[5,7,1,6,3,2,4]=>[6,1,2,7,4,3,5]
[5,7,1,6,3,4,2]=>[6,1,2,7,4,5,3]
[5,7,1,6,4,2,3]=>[6,1,2,7,5,3,4]
[5,7,1,6,4,3,2]=>[6,1,2,7,5,4,3]
[5,7,2,1,3,4,6]=>[6,1,3,2,4,5,7]
[5,7,2,1,3,6,4]=>[6,1,3,2,4,7,5]
[5,7,2,1,4,3,6]=>[6,1,3,2,5,4,7]
[5,7,2,1,4,6,3]=>[6,1,3,2,5,7,4]
[5,7,2,1,6,3,4]=>[6,1,3,2,7,4,5]
[5,7,2,1,6,4,3]=>[6,1,3,2,7,5,4]
[5,7,2,3,1,4,6]=>[6,1,3,4,2,5,7]
[5,7,2,3,1,6,4]=>[6,1,3,4,2,7,5]
[5,7,2,3,4,1,6]=>[6,1,3,4,5,2,7]
[5,7,2,3,4,6,1]=>[6,1,3,4,5,7,2]
[5,7,2,3,6,1,4]=>[6,1,3,4,7,2,5]
[5,7,2,3,6,4,1]=>[6,1,3,4,7,5,2]
[5,7,2,4,1,3,6]=>[6,1,3,5,2,4,7]
[5,7,2,4,1,6,3]=>[6,1,3,5,2,7,4]
[5,7,2,4,3,1,6]=>[6,1,3,5,4,2,7]
[5,7,2,4,3,6,1]=>[6,1,3,5,4,7,2]
[5,7,2,4,6,1,3]=>[6,1,3,5,7,2,4]
[5,7,2,4,6,3,1]=>[6,1,3,5,7,4,2]
[5,7,2,6,1,3,4]=>[6,1,3,7,2,4,5]
[5,7,2,6,1,4,3]=>[6,1,3,7,2,5,4]
[5,7,2,6,3,1,4]=>[6,1,3,7,4,2,5]
[5,7,2,6,3,4,1]=>[6,1,3,7,4,5,2]
[5,7,2,6,4,1,3]=>[6,1,3,7,5,2,4]
[5,7,2,6,4,3,1]=>[6,1,3,7,5,4,2]
[5,7,3,1,2,4,6]=>[6,1,4,2,3,5,7]
[5,7,3,1,2,6,4]=>[6,1,4,2,3,7,5]
[5,7,3,1,4,2,6]=>[6,1,4,2,5,3,7]
[5,7,3,1,4,6,2]=>[6,1,4,2,5,7,3]
[5,7,3,1,6,2,4]=>[6,1,4,2,7,3,5]
[5,7,3,1,6,4,2]=>[6,1,4,2,7,5,3]
[5,7,3,2,1,4,6]=>[6,1,4,3,2,5,7]
[5,7,3,2,1,6,4]=>[6,1,4,3,2,7,5]
[5,7,3,2,4,1,6]=>[6,1,4,3,5,2,7]
[5,7,3,2,4,6,1]=>[6,1,4,3,5,7,2]
[5,7,3,2,6,1,4]=>[6,1,4,3,7,2,5]
[5,7,3,2,6,4,1]=>[6,1,4,3,7,5,2]
[5,7,3,4,1,2,6]=>[6,1,4,5,2,3,7]
[5,7,3,4,1,6,2]=>[6,1,4,5,2,7,3]
[5,7,3,4,2,1,6]=>[6,1,4,5,3,2,7]
[5,7,3,4,2,6,1]=>[6,1,4,5,3,7,2]
[5,7,3,4,6,1,2]=>[6,1,4,5,7,2,3]
[5,7,3,4,6,2,1]=>[6,1,4,5,7,3,2]
[5,7,3,6,1,2,4]=>[6,1,4,7,2,3,5]
[5,7,3,6,1,4,2]=>[6,1,4,7,2,5,3]
[5,7,3,6,2,1,4]=>[6,1,4,7,3,2,5]
[5,7,3,6,2,4,1]=>[6,1,4,7,3,5,2]
[5,7,3,6,4,1,2]=>[6,1,4,7,5,2,3]
[5,7,3,6,4,2,1]=>[6,1,4,7,5,3,2]
[5,7,4,1,2,3,6]=>[6,1,5,2,3,4,7]
[5,7,4,1,2,6,3]=>[6,1,5,2,3,7,4]
[5,7,4,1,3,2,6]=>[6,1,5,2,4,3,7]
[5,7,4,1,3,6,2]=>[6,1,5,2,4,7,3]
[5,7,4,1,6,2,3]=>[6,1,5,2,7,3,4]
[5,7,4,1,6,3,2]=>[6,1,5,2,7,4,3]
[5,7,4,2,1,3,6]=>[6,1,5,3,2,4,7]
[5,7,4,2,1,6,3]=>[6,1,5,3,2,7,4]
[5,7,4,2,3,1,6]=>[6,1,5,3,4,2,7]
[5,7,4,2,3,6,1]=>[6,1,5,3,4,7,2]
[5,7,4,2,6,1,3]=>[6,1,5,3,7,2,4]
[5,7,4,2,6,3,1]=>[6,1,5,3,7,4,2]
[5,7,4,3,1,2,6]=>[6,1,5,4,2,3,7]
[5,7,4,3,1,6,2]=>[6,1,5,4,2,7,3]
[5,7,4,3,2,1,6]=>[6,1,5,4,3,2,7]
[5,7,4,3,2,6,1]=>[6,1,5,4,3,7,2]
[5,7,4,3,6,1,2]=>[6,1,5,4,7,2,3]
[5,7,4,3,6,2,1]=>[6,1,5,4,7,3,2]
[5,7,4,6,1,2,3]=>[6,1,5,7,2,3,4]
[5,7,4,6,1,3,2]=>[6,1,5,7,2,4,3]
[5,7,4,6,2,1,3]=>[6,1,5,7,3,2,4]
[5,7,4,6,2,3,1]=>[6,1,5,7,3,4,2]
[5,7,4,6,3,1,2]=>[6,1,5,7,4,2,3]
[5,7,4,6,3,2,1]=>[6,1,5,7,4,3,2]
[5,7,6,1,2,3,4]=>[6,1,7,2,3,4,5]
[5,7,6,1,2,4,3]=>[6,1,7,2,3,5,4]
[5,7,6,1,3,2,4]=>[6,1,7,2,4,3,5]
[5,7,6,1,3,4,2]=>[6,1,7,2,4,5,3]
[5,7,6,1,4,2,3]=>[6,1,7,2,5,3,4]
[5,7,6,1,4,3,2]=>[6,1,7,2,5,4,3]
[5,7,6,2,1,3,4]=>[6,1,7,3,2,4,5]
[5,7,6,2,1,4,3]=>[6,1,7,3,2,5,4]
[5,7,6,2,3,1,4]=>[6,1,7,3,4,2,5]
[5,7,6,2,3,4,1]=>[6,1,7,3,4,5,2]
[5,7,6,2,4,1,3]=>[6,1,7,3,5,2,4]
[5,7,6,2,4,3,1]=>[6,1,7,3,5,4,2]
[5,7,6,3,1,2,4]=>[6,1,7,4,2,3,5]
[5,7,6,3,1,4,2]=>[6,1,7,4,2,5,3]
[5,7,6,3,2,1,4]=>[6,1,7,4,3,2,5]
[5,7,6,3,2,4,1]=>[6,1,7,4,3,5,2]
[5,7,6,3,4,1,2]=>[6,1,7,4,5,2,3]
[5,7,6,3,4,2,1]=>[6,1,7,4,5,3,2]
[5,7,6,4,1,2,3]=>[6,1,7,5,2,3,4]
[5,7,6,4,1,3,2]=>[6,1,7,5,2,4,3]
[5,7,6,4,2,1,3]=>[6,1,7,5,3,2,4]
[5,7,6,4,2,3,1]=>[6,1,7,5,3,4,2]
[5,7,6,4,3,1,2]=>[6,1,7,5,4,2,3]
[5,7,6,4,3,2,1]=>[6,1,7,5,4,3,2]
[6,1,2,3,4,5,7]=>[1,7,2,3,4,5,6]
[6,1,2,3,4,7,5]=>[7,2,3,4,5,1,6]
[6,1,2,3,5,4,7]=>[1,7,2,3,4,6,5]
[6,1,2,3,5,7,4]=>[7,2,3,4,6,1,5]
[6,1,2,3,7,4,5]=>[7,2,3,4,1,5,6]
[6,1,2,3,7,5,4]=>[7,2,3,4,1,6,5]
[6,1,2,4,3,5,7]=>[1,7,2,3,5,4,6]
[6,1,2,4,3,7,5]=>[7,2,3,5,4,1,6]
[6,1,2,4,5,3,7]=>[1,7,2,3,5,6,4]
[6,1,2,4,5,7,3]=>[7,2,3,5,6,1,4]
[6,1,2,4,7,3,5]=>[7,2,3,5,1,4,6]
[6,1,2,4,7,5,3]=>[7,2,3,5,1,6,4]
[6,1,2,5,3,4,7]=>[1,7,2,3,6,4,5]
[6,1,2,5,3,7,4]=>[7,2,3,6,4,1,5]
[6,1,2,5,4,3,7]=>[1,7,2,3,6,5,4]
[6,1,2,5,4,7,3]=>[7,2,3,6,5,1,4]
[6,1,2,5,7,3,4]=>[7,2,3,6,1,4,5]
[6,1,2,5,7,4,3]=>[7,2,3,6,1,5,4]
[6,1,2,7,3,4,5]=>[7,2,3,1,4,5,6]
[6,1,2,7,3,5,4]=>[7,2,3,1,4,6,5]
[6,1,2,7,4,3,5]=>[7,2,3,1,5,4,6]
[6,1,2,7,4,5,3]=>[7,2,3,1,5,6,4]
[6,1,2,7,5,3,4]=>[7,2,3,1,6,4,5]
[6,1,2,7,5,4,3]=>[7,2,3,1,6,5,4]
[6,1,3,2,4,5,7]=>[1,7,2,4,3,5,6]
[6,1,3,2,4,7,5]=>[7,2,4,3,5,1,6]
[6,1,3,2,5,4,7]=>[1,7,2,4,3,6,5]
[6,1,3,2,5,7,4]=>[7,2,4,3,6,1,5]
[6,1,3,2,7,4,5]=>[7,2,4,3,1,5,6]
[6,1,3,2,7,5,4]=>[7,2,4,3,1,6,5]
[6,1,3,4,2,5,7]=>[1,7,2,4,5,3,6]
[6,1,3,4,2,7,5]=>[7,2,4,5,3,1,6]
[6,1,3,4,5,2,7]=>[1,7,2,4,5,6,3]
[6,1,3,4,5,7,2]=>[7,2,4,5,6,1,3]
[6,1,3,4,7,2,5]=>[7,2,4,5,1,3,6]
[6,1,3,4,7,5,2]=>[7,2,4,5,1,6,3]
[6,1,3,5,2,4,7]=>[1,7,2,4,6,3,5]
[6,1,3,5,2,7,4]=>[7,2,4,6,3,1,5]
[6,1,3,5,4,2,7]=>[1,7,2,4,6,5,3]
[6,1,3,5,4,7,2]=>[7,2,4,6,5,1,3]
[6,1,3,5,7,2,4]=>[7,2,4,6,1,3,5]
[6,1,3,5,7,4,2]=>[7,2,4,6,1,5,3]
[6,1,3,7,2,4,5]=>[7,2,4,1,3,5,6]
[6,1,3,7,2,5,4]=>[7,2,4,1,3,6,5]
[6,1,3,7,4,2,5]=>[7,2,4,1,5,3,6]
[6,1,3,7,4,5,2]=>[7,2,4,1,5,6,3]
[6,1,3,7,5,2,4]=>[7,2,4,1,6,3,5]
[6,1,3,7,5,4,2]=>[7,2,4,1,6,5,3]
[6,1,4,2,3,5,7]=>[1,7,2,5,3,4,6]
[6,1,4,2,3,7,5]=>[7,2,5,3,4,1,6]
[6,1,4,2,5,3,7]=>[1,7,2,5,3,6,4]
[6,1,4,2,5,7,3]=>[7,2,5,3,6,1,4]
[6,1,4,2,7,3,5]=>[7,2,5,3,1,4,6]
[6,1,4,2,7,5,3]=>[7,2,5,3,1,6,4]
[6,1,4,3,2,5,7]=>[1,7,2,5,4,3,6]
[6,1,4,3,2,7,5]=>[7,2,5,4,3,1,6]
[6,1,4,3,5,2,7]=>[1,7,2,5,4,6,3]
[6,1,4,3,5,7,2]=>[7,2,5,4,6,1,3]
[6,1,4,3,7,2,5]=>[7,2,5,4,1,3,6]
[6,1,4,3,7,5,2]=>[7,2,5,4,1,6,3]
[6,1,4,5,2,3,7]=>[1,7,2,5,6,3,4]
[6,1,4,5,2,7,3]=>[7,2,5,6,3,1,4]
[6,1,4,5,3,2,7]=>[1,7,2,5,6,4,3]
[6,1,4,5,3,7,2]=>[7,2,5,6,4,1,3]
[6,1,4,5,7,2,3]=>[7,2,5,6,1,3,4]
[6,1,4,5,7,3,2]=>[7,2,5,6,1,4,3]
[6,1,4,7,2,3,5]=>[7,2,5,1,3,4,6]
[6,1,4,7,2,5,3]=>[7,2,5,1,3,6,4]
[6,1,4,7,3,2,5]=>[7,2,5,1,4,3,6]
[6,1,4,7,3,5,2]=>[7,2,5,1,4,6,3]
[6,1,4,7,5,2,3]=>[7,2,5,1,6,3,4]
[6,1,4,7,5,3,2]=>[7,2,5,1,6,4,3]
[6,1,5,2,3,4,7]=>[1,7,2,6,3,4,5]
[6,1,5,2,3,7,4]=>[7,2,6,3,4,1,5]
[6,1,5,2,4,3,7]=>[1,7,2,6,3,5,4]
[6,1,5,2,4,7,3]=>[7,2,6,3,5,1,4]
[6,1,5,2,7,3,4]=>[7,2,6,3,1,4,5]
[6,1,5,2,7,4,3]=>[7,2,6,3,1,5,4]
[6,1,5,3,2,4,7]=>[1,7,2,6,4,3,5]
[6,1,5,3,2,7,4]=>[7,2,6,4,3,1,5]
[6,1,5,3,4,2,7]=>[1,7,2,6,4,5,3]
[6,1,5,3,4,7,2]=>[7,2,6,4,5,1,3]
[6,1,5,3,7,2,4]=>[7,2,6,4,1,3,5]
[6,1,5,3,7,4,2]=>[7,2,6,4,1,5,3]
[6,1,5,4,2,3,7]=>[1,7,2,6,5,3,4]
[6,1,5,4,2,7,3]=>[7,2,6,5,3,1,4]
[6,1,5,4,3,2,7]=>[1,7,2,6,5,4,3]
[6,1,5,4,3,7,2]=>[7,2,6,5,4,1,3]
[6,1,5,4,7,2,3]=>[7,2,6,5,1,3,4]
[6,1,5,4,7,3,2]=>[7,2,6,5,1,4,3]
[6,1,5,7,2,3,4]=>[7,2,6,1,3,4,5]
[6,1,5,7,2,4,3]=>[7,2,6,1,3,5,4]
[6,1,5,7,3,2,4]=>[7,2,6,1,4,3,5]
[6,1,5,7,3,4,2]=>[7,2,6,1,4,5,3]
[6,1,5,7,4,2,3]=>[7,2,6,1,5,3,4]
[6,1,5,7,4,3,2]=>[7,2,6,1,5,4,3]
[6,1,7,2,3,4,5]=>[7,2,1,3,4,5,6]
[6,1,7,2,3,5,4]=>[7,2,1,3,4,6,5]
[6,1,7,2,4,3,5]=>[7,2,1,3,5,4,6]
[6,1,7,2,4,5,3]=>[7,2,1,3,5,6,4]
[6,1,7,2,5,3,4]=>[7,2,1,3,6,4,5]
[6,1,7,2,5,4,3]=>[7,2,1,3,6,5,4]
[6,1,7,3,2,4,5]=>[7,2,1,4,3,5,6]
[6,1,7,3,2,5,4]=>[7,2,1,4,3,6,5]
[6,1,7,3,4,2,5]=>[7,2,1,4,5,3,6]
[6,1,7,3,4,5,2]=>[7,2,1,4,5,6,3]
[6,1,7,3,5,2,4]=>[7,2,1,4,6,3,5]
[6,1,7,3,5,4,2]=>[7,2,1,4,6,5,3]
[6,1,7,4,2,3,5]=>[7,2,1,5,3,4,6]
[6,1,7,4,2,5,3]=>[7,2,1,5,3,6,4]
[6,1,7,4,3,2,5]=>[7,2,1,5,4,3,6]
[6,1,7,4,3,5,2]=>[7,2,1,5,4,6,3]
[6,1,7,4,5,2,3]=>[7,2,1,5,6,3,4]
[6,1,7,4,5,3,2]=>[7,2,1,5,6,4,3]
[6,1,7,5,2,3,4]=>[7,2,1,6,3,4,5]
[6,1,7,5,2,4,3]=>[7,2,1,6,3,5,4]
[6,1,7,5,3,2,4]=>[7,2,1,6,4,3,5]
[6,1,7,5,3,4,2]=>[7,2,1,6,4,5,3]
[6,1,7,5,4,2,3]=>[7,2,1,6,5,3,4]
[6,1,7,5,4,3,2]=>[7,2,1,6,5,4,3]
[6,2,1,3,4,5,7]=>[1,7,3,2,4,5,6]
[6,2,1,3,4,7,5]=>[7,3,2,4,5,1,6]
[6,2,1,3,5,4,7]=>[1,7,3,2,4,6,5]
[6,2,1,3,5,7,4]=>[7,3,2,4,6,1,5]
[6,2,1,3,7,4,5]=>[7,3,2,4,1,5,6]
[6,2,1,3,7,5,4]=>[7,3,2,4,1,6,5]
[6,2,1,4,3,5,7]=>[1,7,3,2,5,4,6]
[6,2,1,4,3,7,5]=>[7,3,2,5,4,1,6]
[6,2,1,4,5,3,7]=>[1,7,3,2,5,6,4]
[6,2,1,4,5,7,3]=>[7,3,2,5,6,1,4]
[6,2,1,4,7,3,5]=>[7,3,2,5,1,4,6]
[6,2,1,4,7,5,3]=>[7,3,2,5,1,6,4]
[6,2,1,5,3,4,7]=>[1,7,3,2,6,4,5]
[6,2,1,5,3,7,4]=>[7,3,2,6,4,1,5]
[6,2,1,5,4,3,7]=>[1,7,3,2,6,5,4]
[6,2,1,5,4,7,3]=>[7,3,2,6,5,1,4]
[6,2,1,5,7,3,4]=>[7,3,2,6,1,4,5]
[6,2,1,5,7,4,3]=>[7,3,2,6,1,5,4]
[6,2,1,7,3,4,5]=>[7,3,2,1,4,5,6]
[6,2,1,7,3,5,4]=>[7,3,2,1,4,6,5]
[6,2,1,7,4,3,5]=>[7,3,2,1,5,4,6]
[6,2,1,7,4,5,3]=>[7,3,2,1,5,6,4]
[6,2,1,7,5,3,4]=>[7,3,2,1,6,4,5]
[6,2,1,7,5,4,3]=>[7,3,2,1,6,5,4]
[6,2,3,1,4,5,7]=>[1,7,3,4,2,5,6]
[6,2,3,1,4,7,5]=>[7,3,4,2,5,1,6]
[6,2,3,1,5,4,7]=>[1,7,3,4,2,6,5]
[6,2,3,1,5,7,4]=>[7,3,4,2,6,1,5]
[6,2,3,1,7,4,5]=>[7,3,4,2,1,5,6]
[6,2,3,1,7,5,4]=>[7,3,4,2,1,6,5]
[6,2,3,4,1,5,7]=>[1,7,3,4,5,2,6]
[6,2,3,4,1,7,5]=>[7,3,4,5,2,1,6]
[6,2,3,4,5,1,7]=>[1,7,3,4,5,6,2]
[6,2,3,4,5,7,1]=>[7,3,4,5,6,1,2]
[6,2,3,4,7,1,5]=>[7,3,4,5,1,2,6]
[6,2,3,4,7,5,1]=>[7,3,4,5,1,6,2]
[6,2,3,5,1,4,7]=>[1,7,3,4,6,2,5]
[6,2,3,5,1,7,4]=>[7,3,4,6,2,1,5]
[6,2,3,5,4,1,7]=>[1,7,3,4,6,5,2]
[6,2,3,5,4,7,1]=>[7,3,4,6,5,1,2]
[6,2,3,5,7,1,4]=>[7,3,4,6,1,2,5]
[6,2,3,5,7,4,1]=>[7,3,4,6,1,5,2]
[6,2,3,7,1,4,5]=>[7,3,4,1,2,5,6]
[6,2,3,7,1,5,4]=>[7,3,4,1,2,6,5]
[6,2,3,7,4,1,5]=>[7,3,4,1,5,2,6]
[6,2,3,7,4,5,1]=>[7,3,4,1,5,6,2]
[6,2,3,7,5,1,4]=>[7,3,4,1,6,2,5]
[6,2,3,7,5,4,1]=>[7,3,4,1,6,5,2]
[6,2,4,1,3,5,7]=>[1,7,3,5,2,4,6]
[6,2,4,1,3,7,5]=>[7,3,5,2,4,1,6]
[6,2,4,1,5,3,7]=>[1,7,3,5,2,6,4]
[6,2,4,1,5,7,3]=>[7,3,5,2,6,1,4]
[6,2,4,1,7,3,5]=>[7,3,5,2,1,4,6]
[6,2,4,1,7,5,3]=>[7,3,5,2,1,6,4]
[6,2,4,3,1,5,7]=>[1,7,3,5,4,2,6]
[6,2,4,3,1,7,5]=>[7,3,5,4,2,1,6]
[6,2,4,3,5,1,7]=>[1,7,3,5,4,6,2]
[6,2,4,3,5,7,1]=>[7,3,5,4,6,1,2]
[6,2,4,3,7,1,5]=>[7,3,5,4,1,2,6]
[6,2,4,3,7,5,1]=>[7,3,5,4,1,6,2]
[6,2,4,5,1,3,7]=>[1,7,3,5,6,2,4]
[6,2,4,5,1,7,3]=>[7,3,5,6,2,1,4]
[6,2,4,5,3,1,7]=>[1,7,3,5,6,4,2]
[6,2,4,5,3,7,1]=>[7,3,5,6,4,1,2]
[6,2,4,5,7,1,3]=>[7,3,5,6,1,2,4]
[6,2,4,5,7,3,1]=>[7,3,5,6,1,4,2]
[6,2,4,7,1,3,5]=>[7,3,5,1,2,4,6]
[6,2,4,7,1,5,3]=>[7,3,5,1,2,6,4]
[6,2,4,7,3,1,5]=>[7,3,5,1,4,2,6]
[6,2,4,7,3,5,1]=>[7,3,5,1,4,6,2]
[6,2,4,7,5,1,3]=>[7,3,5,1,6,2,4]
[6,2,4,7,5,3,1]=>[7,3,5,1,6,4,2]
[6,2,5,1,3,4,7]=>[1,7,3,6,2,4,5]
[6,2,5,1,3,7,4]=>[7,3,6,2,4,1,5]
[6,2,5,1,4,3,7]=>[1,7,3,6,2,5,4]
[6,2,5,1,4,7,3]=>[7,3,6,2,5,1,4]
[6,2,5,1,7,3,4]=>[7,3,6,2,1,4,5]
[6,2,5,1,7,4,3]=>[7,3,6,2,1,5,4]
[6,2,5,3,1,4,7]=>[1,7,3,6,4,2,5]
[6,2,5,3,1,7,4]=>[7,3,6,4,2,1,5]
[6,2,5,3,4,1,7]=>[1,7,3,6,4,5,2]
[6,2,5,3,4,7,1]=>[7,3,6,4,5,1,2]
[6,2,5,3,7,1,4]=>[7,3,6,4,1,2,5]
[6,2,5,3,7,4,1]=>[7,3,6,4,1,5,2]
[6,2,5,4,1,3,7]=>[1,7,3,6,5,2,4]
[6,2,5,4,1,7,3]=>[7,3,6,5,2,1,4]
[6,2,5,4,3,1,7]=>[1,7,3,6,5,4,2]
[6,2,5,4,3,7,1]=>[7,3,6,5,4,1,2]
[6,2,5,4,7,1,3]=>[7,3,6,5,1,2,4]
[6,2,5,4,7,3,1]=>[7,3,6,5,1,4,2]
[6,2,5,7,1,3,4]=>[7,3,6,1,2,4,5]
[6,2,5,7,1,4,3]=>[7,3,6,1,2,5,4]
[6,2,5,7,3,1,4]=>[7,3,6,1,4,2,5]
[6,2,5,7,3,4,1]=>[7,3,6,1,4,5,2]
[6,2,5,7,4,1,3]=>[7,3,6,1,5,2,4]
[6,2,5,7,4,3,1]=>[7,3,6,1,5,4,2]
[6,2,7,1,3,4,5]=>[7,3,1,2,4,5,6]
[6,2,7,1,3,5,4]=>[7,3,1,2,4,6,5]
[6,2,7,1,4,3,5]=>[7,3,1,2,5,4,6]
[6,2,7,1,4,5,3]=>[7,3,1,2,5,6,4]
[6,2,7,1,5,3,4]=>[7,3,1,2,6,4,5]
[6,2,7,1,5,4,3]=>[7,3,1,2,6,5,4]
[6,2,7,3,1,4,5]=>[7,3,1,4,2,5,6]
[6,2,7,3,1,5,4]=>[7,3,1,4,2,6,5]
[6,2,7,3,4,1,5]=>[7,3,1,4,5,2,6]
[6,2,7,3,4,5,1]=>[7,3,1,4,5,6,2]
[6,2,7,3,5,1,4]=>[7,3,1,4,6,2,5]
[6,2,7,3,5,4,1]=>[7,3,1,4,6,5,2]
[6,2,7,4,1,3,5]=>[7,3,1,5,2,4,6]
[6,2,7,4,1,5,3]=>[7,3,1,5,2,6,4]
[6,2,7,4,3,1,5]=>[7,3,1,5,4,2,6]
[6,2,7,4,3,5,1]=>[7,3,1,5,4,6,2]
[6,2,7,4,5,1,3]=>[7,3,1,5,6,2,4]
[6,2,7,4,5,3,1]=>[7,3,1,5,6,4,2]
[6,2,7,5,1,3,4]=>[7,3,1,6,2,4,5]
[6,2,7,5,1,4,3]=>[7,3,1,6,2,5,4]
[6,2,7,5,3,1,4]=>[7,3,1,6,4,2,5]
[6,2,7,5,3,4,1]=>[7,3,1,6,4,5,2]
[6,2,7,5,4,1,3]=>[7,3,1,6,5,2,4]
[6,2,7,5,4,3,1]=>[7,3,1,6,5,4,2]
[6,3,1,2,4,5,7]=>[1,7,4,2,3,5,6]
[6,3,1,2,4,7,5]=>[7,4,2,3,5,1,6]
[6,3,1,2,5,4,7]=>[1,7,4,2,3,6,5]
[6,3,1,2,5,7,4]=>[7,4,2,3,6,1,5]
[6,3,1,2,7,4,5]=>[7,4,2,3,1,5,6]
[6,3,1,2,7,5,4]=>[7,4,2,3,1,6,5]
[6,3,1,4,2,5,7]=>[1,7,4,2,5,3,6]
[6,3,1,4,2,7,5]=>[7,4,2,5,3,1,6]
[6,3,1,4,5,2,7]=>[1,7,4,2,5,6,3]
[6,3,1,4,5,7,2]=>[7,4,2,5,6,1,3]
[6,3,1,4,7,2,5]=>[7,4,2,5,1,3,6]
[6,3,1,4,7,5,2]=>[7,4,2,5,1,6,3]
[6,3,1,5,2,4,7]=>[1,7,4,2,6,3,5]
[6,3,1,5,2,7,4]=>[7,4,2,6,3,1,5]
[6,3,1,5,4,2,7]=>[1,7,4,2,6,5,3]
[6,3,1,5,4,7,2]=>[7,4,2,6,5,1,3]
[6,3,1,5,7,2,4]=>[7,4,2,6,1,3,5]
[6,3,1,5,7,4,2]=>[7,4,2,6,1,5,3]
[6,3,1,7,2,4,5]=>[7,4,2,1,3,5,6]
[6,3,1,7,2,5,4]=>[7,4,2,1,3,6,5]
[6,3,1,7,4,2,5]=>[7,4,2,1,5,3,6]
[6,3,1,7,4,5,2]=>[7,4,2,1,5,6,3]
[6,3,1,7,5,2,4]=>[7,4,2,1,6,3,5]
[6,3,1,7,5,4,2]=>[7,4,2,1,6,5,3]
[6,3,2,1,4,5,7]=>[1,7,4,3,2,5,6]
[6,3,2,1,4,7,5]=>[7,4,3,2,5,1,6]
[6,3,2,1,5,4,7]=>[1,7,4,3,2,6,5]
[6,3,2,1,5,7,4]=>[7,4,3,2,6,1,5]
[6,3,2,1,7,4,5]=>[7,4,3,2,1,5,6]
[6,3,2,1,7,5,4]=>[7,4,3,2,1,6,5]
[6,3,2,4,1,5,7]=>[1,7,4,3,5,2,6]
[6,3,2,4,1,7,5]=>[7,4,3,5,2,1,6]
[6,3,2,4,5,1,7]=>[1,7,4,3,5,6,2]
[6,3,2,4,5,7,1]=>[7,4,3,5,6,1,2]
[6,3,2,4,7,1,5]=>[7,4,3,5,1,2,6]
[6,3,2,4,7,5,1]=>[7,4,3,5,1,6,2]
[6,3,2,5,1,4,7]=>[1,7,4,3,6,2,5]
[6,3,2,5,1,7,4]=>[7,4,3,6,2,1,5]
[6,3,2,5,4,1,7]=>[1,7,4,3,6,5,2]
[6,3,2,5,4,7,1]=>[7,4,3,6,5,1,2]
[6,3,2,5,7,1,4]=>[7,4,3,6,1,2,5]
[6,3,2,5,7,4,1]=>[7,4,3,6,1,5,2]
[6,3,2,7,1,4,5]=>[7,4,3,1,2,5,6]
[6,3,2,7,1,5,4]=>[7,4,3,1,2,6,5]
[6,3,2,7,4,1,5]=>[7,4,3,1,5,2,6]
[6,3,2,7,4,5,1]=>[7,4,3,1,5,6,2]
[6,3,2,7,5,1,4]=>[7,4,3,1,6,2,5]
[6,3,2,7,5,4,1]=>[7,4,3,1,6,5,2]
[6,3,4,1,2,5,7]=>[1,7,4,5,2,3,6]
[6,3,4,1,2,7,5]=>[7,4,5,2,3,1,6]
[6,3,4,1,5,2,7]=>[1,7,4,5,2,6,3]
[6,3,4,1,5,7,2]=>[7,4,5,2,6,1,3]
[6,3,4,1,7,2,5]=>[7,4,5,2,1,3,6]
[6,3,4,1,7,5,2]=>[7,4,5,2,1,6,3]
[6,3,4,2,1,5,7]=>[1,7,4,5,3,2,6]
[6,3,4,2,1,7,5]=>[7,4,5,3,2,1,6]
[6,3,4,2,5,1,7]=>[1,7,4,5,3,6,2]
[6,3,4,2,5,7,1]=>[7,4,5,3,6,1,2]
[6,3,4,2,7,1,5]=>[7,4,5,3,1,2,6]
[6,3,4,2,7,5,1]=>[7,4,5,3,1,6,2]
[6,3,4,5,1,2,7]=>[1,7,4,5,6,2,3]
[6,3,4,5,1,7,2]=>[7,4,5,6,2,1,3]
[6,3,4,5,2,1,7]=>[1,7,4,5,6,3,2]
[6,3,4,5,2,7,1]=>[7,4,5,6,3,1,2]
[6,3,4,5,7,1,2]=>[7,4,5,6,1,2,3]
[6,3,4,5,7,2,1]=>[7,4,5,6,1,3,2]
[6,3,4,7,1,2,5]=>[7,4,5,1,2,3,6]
[6,3,4,7,1,5,2]=>[7,4,5,1,2,6,3]
[6,3,4,7,2,1,5]=>[7,4,5,1,3,2,6]
[6,3,4,7,2,5,1]=>[7,4,5,1,3,6,2]
[6,3,4,7,5,1,2]=>[7,4,5,1,6,2,3]
[6,3,4,7,5,2,1]=>[7,4,5,1,6,3,2]
[6,3,5,1,2,4,7]=>[1,7,4,6,2,3,5]
[6,3,5,1,2,7,4]=>[7,4,6,2,3,1,5]
[6,3,5,1,4,2,7]=>[1,7,4,6,2,5,3]
[6,3,5,1,4,7,2]=>[7,4,6,2,5,1,3]
[6,3,5,1,7,2,4]=>[7,4,6,2,1,3,5]
[6,3,5,1,7,4,2]=>[7,4,6,2,1,5,3]
[6,3,5,2,1,4,7]=>[1,7,4,6,3,2,5]
[6,3,5,2,1,7,4]=>[7,4,6,3,2,1,5]
[6,3,5,2,4,1,7]=>[1,7,4,6,3,5,2]
[6,3,5,2,4,7,1]=>[7,4,6,3,5,1,2]
[6,3,5,2,7,1,4]=>[7,4,6,3,1,2,5]
[6,3,5,2,7,4,1]=>[7,4,6,3,1,5,2]
[6,3,5,4,1,2,7]=>[1,7,4,6,5,2,3]
[6,3,5,4,1,7,2]=>[7,4,6,5,2,1,3]
[6,3,5,4,2,1,7]=>[1,7,4,6,5,3,2]
[6,3,5,4,2,7,1]=>[7,4,6,5,3,1,2]
[6,3,5,4,7,1,2]=>[7,4,6,5,1,2,3]
[6,3,5,4,7,2,1]=>[7,4,6,5,1,3,2]
[6,3,5,7,1,2,4]=>[7,4,6,1,2,3,5]
[6,3,5,7,1,4,2]=>[7,4,6,1,2,5,3]
[6,3,5,7,2,1,4]=>[7,4,6,1,3,2,5]
[6,3,5,7,2,4,1]=>[7,4,6,1,3,5,2]
[6,3,5,7,4,1,2]=>[7,4,6,1,5,2,3]
[6,3,5,7,4,2,1]=>[7,4,6,1,5,3,2]
[6,3,7,1,2,4,5]=>[7,4,1,2,3,5,6]
[6,3,7,1,2,5,4]=>[7,4,1,2,3,6,5]
[6,3,7,1,4,2,5]=>[7,4,1,2,5,3,6]
[6,3,7,1,4,5,2]=>[7,4,1,2,5,6,3]
[6,3,7,1,5,2,4]=>[7,4,1,2,6,3,5]
[6,3,7,1,5,4,2]=>[7,4,1,2,6,5,3]
[6,3,7,2,1,4,5]=>[7,4,1,3,2,5,6]
[6,3,7,2,1,5,4]=>[7,4,1,3,2,6,5]
[6,3,7,2,4,1,5]=>[7,4,1,3,5,2,6]
[6,3,7,2,4,5,1]=>[7,4,1,3,5,6,2]
[6,3,7,2,5,1,4]=>[7,4,1,3,6,2,5]
[6,3,7,2,5,4,1]=>[7,4,1,3,6,5,2]
[6,3,7,4,1,2,5]=>[7,4,1,5,2,3,6]
[6,3,7,4,1,5,2]=>[7,4,1,5,2,6,3]
[6,3,7,4,2,1,5]=>[7,4,1,5,3,2,6]
[6,3,7,4,2,5,1]=>[7,4,1,5,3,6,2]
[6,3,7,4,5,1,2]=>[7,4,1,5,6,2,3]
[6,3,7,4,5,2,1]=>[7,4,1,5,6,3,2]
[6,3,7,5,1,2,4]=>[7,4,1,6,2,3,5]
[6,3,7,5,1,4,2]=>[7,4,1,6,2,5,3]
[6,3,7,5,2,1,4]=>[7,4,1,6,3,2,5]
[6,3,7,5,2,4,1]=>[7,4,1,6,3,5,2]
[6,3,7,5,4,1,2]=>[7,4,1,6,5,2,3]
[6,3,7,5,4,2,1]=>[7,4,1,6,5,3,2]
[6,4,1,2,3,5,7]=>[1,7,5,2,3,4,6]
[6,4,1,2,3,7,5]=>[7,5,2,3,4,1,6]
[6,4,1,2,5,3,7]=>[1,7,5,2,3,6,4]
[6,4,1,2,5,7,3]=>[7,5,2,3,6,1,4]
[6,4,1,2,7,3,5]=>[7,5,2,3,1,4,6]
[6,4,1,2,7,5,3]=>[7,5,2,3,1,6,4]
[6,4,1,3,2,5,7]=>[1,7,5,2,4,3,6]
[6,4,1,3,2,7,5]=>[7,5,2,4,3,1,6]
[6,4,1,3,5,2,7]=>[1,7,5,2,4,6,3]
[6,4,1,3,5,7,2]=>[7,5,2,4,6,1,3]
[6,4,1,3,7,2,5]=>[7,5,2,4,1,3,6]
[6,4,1,3,7,5,2]=>[7,5,2,4,1,6,3]
[6,4,1,5,2,3,7]=>[1,7,5,2,6,3,4]
[6,4,1,5,2,7,3]=>[7,5,2,6,3,1,4]
[6,4,1,5,3,2,7]=>[1,7,5,2,6,4,3]
[6,4,1,5,3,7,2]=>[7,5,2,6,4,1,3]
[6,4,1,5,7,2,3]=>[7,5,2,6,1,3,4]
[6,4,1,5,7,3,2]=>[7,5,2,6,1,4,3]
[6,4,1,7,2,3,5]=>[7,5,2,1,3,4,6]
[6,4,1,7,2,5,3]=>[7,5,2,1,3,6,4]
[6,4,1,7,3,2,5]=>[7,5,2,1,4,3,6]
[6,4,1,7,3,5,2]=>[7,5,2,1,4,6,3]
[6,4,1,7,5,2,3]=>[7,5,2,1,6,3,4]
[6,4,1,7,5,3,2]=>[7,5,2,1,6,4,3]
[6,4,2,1,3,5,7]=>[1,7,5,3,2,4,6]
[6,4,2,1,3,7,5]=>[7,5,3,2,4,1,6]
[6,4,2,1,5,3,7]=>[1,7,5,3,2,6,4]
[6,4,2,1,5,7,3]=>[7,5,3,2,6,1,4]
[6,4,2,1,7,3,5]=>[7,5,3,2,1,4,6]
[6,4,2,1,7,5,3]=>[7,5,3,2,1,6,4]
[6,4,2,3,1,5,7]=>[1,7,5,3,4,2,6]
[6,4,2,3,1,7,5]=>[7,5,3,4,2,1,6]
[6,4,2,3,5,1,7]=>[1,7,5,3,4,6,2]
[6,4,2,3,5,7,1]=>[7,5,3,4,6,1,2]
[6,4,2,3,7,1,5]=>[7,5,3,4,1,2,6]
[6,4,2,3,7,5,1]=>[7,5,3,4,1,6,2]
[6,4,2,5,1,3,7]=>[1,7,5,3,6,2,4]
[6,4,2,5,1,7,3]=>[7,5,3,6,2,1,4]
[6,4,2,5,3,1,7]=>[1,7,5,3,6,4,2]
[6,4,2,5,3,7,1]=>[7,5,3,6,4,1,2]
[6,4,2,5,7,1,3]=>[7,5,3,6,1,2,4]
[6,4,2,5,7,3,1]=>[7,5,3,6,1,4,2]
[6,4,2,7,1,3,5]=>[7,5,3,1,2,4,6]
[6,4,2,7,1,5,3]=>[7,5,3,1,2,6,4]
[6,4,2,7,3,1,5]=>[7,5,3,1,4,2,6]
[6,4,2,7,3,5,1]=>[7,5,3,1,4,6,2]
[6,4,2,7,5,1,3]=>[7,5,3,1,6,2,4]
[6,4,2,7,5,3,1]=>[7,5,3,1,6,4,2]
[6,4,3,1,2,5,7]=>[1,7,5,4,2,3,6]
[6,4,3,1,2,7,5]=>[7,5,4,2,3,1,6]
[6,4,3,1,5,2,7]=>[1,7,5,4,2,6,3]
[6,4,3,1,5,7,2]=>[7,5,4,2,6,1,3]
[6,4,3,1,7,2,5]=>[7,5,4,2,1,3,6]
[6,4,3,1,7,5,2]=>[7,5,4,2,1,6,3]
[6,4,3,2,1,5,7]=>[1,7,5,4,3,2,6]
[6,4,3,2,1,7,5]=>[7,5,4,3,2,1,6]
[6,4,3,2,5,1,7]=>[1,7,5,4,3,6,2]
[6,4,3,2,5,7,1]=>[7,5,4,3,6,1,2]
[6,4,3,2,7,1,5]=>[7,5,4,3,1,2,6]
[6,4,3,2,7,5,1]=>[7,5,4,3,1,6,2]
[6,4,3,5,1,2,7]=>[1,7,5,4,6,2,3]
[6,4,3,5,1,7,2]=>[7,5,4,6,2,1,3]
[6,4,3,5,2,1,7]=>[1,7,5,4,6,3,2]
[6,4,3,5,2,7,1]=>[7,5,4,6,3,1,2]
[6,4,3,5,7,1,2]=>[7,5,4,6,1,2,3]
[6,4,3,5,7,2,1]=>[7,5,4,6,1,3,2]
[6,4,3,7,1,2,5]=>[7,5,4,1,2,3,6]
[6,4,3,7,1,5,2]=>[7,5,4,1,2,6,3]
[6,4,3,7,2,1,5]=>[7,5,4,1,3,2,6]
[6,4,3,7,2,5,1]=>[7,5,4,1,3,6,2]
[6,4,3,7,5,1,2]=>[7,5,4,1,6,2,3]
[6,4,3,7,5,2,1]=>[7,5,4,1,6,3,2]
[6,4,5,1,2,3,7]=>[1,7,5,6,2,3,4]
[6,4,5,1,2,7,3]=>[7,5,6,2,3,1,4]
[6,4,5,1,3,2,7]=>[1,7,5,6,2,4,3]
[6,4,5,1,3,7,2]=>[7,5,6,2,4,1,3]
[6,4,5,1,7,2,3]=>[7,5,6,2,1,3,4]
[6,4,5,1,7,3,2]=>[7,5,6,2,1,4,3]
[6,4,5,2,1,3,7]=>[1,7,5,6,3,2,4]
[6,4,5,2,1,7,3]=>[7,5,6,3,2,1,4]
[6,4,5,2,3,1,7]=>[1,7,5,6,3,4,2]
[6,4,5,2,3,7,1]=>[7,5,6,3,4,1,2]
[6,4,5,2,7,1,3]=>[7,5,6,3,1,2,4]
[6,4,5,2,7,3,1]=>[7,5,6,3,1,4,2]
[6,4,5,3,1,2,7]=>[1,7,5,6,4,2,3]
[6,4,5,3,1,7,2]=>[7,5,6,4,2,1,3]
[6,4,5,3,2,1,7]=>[1,7,5,6,4,3,2]
[6,4,5,3,2,7,1]=>[7,5,6,4,3,1,2]
[6,4,5,3,7,1,2]=>[7,5,6,4,1,2,3]
[6,4,5,3,7,2,1]=>[7,5,6,4,1,3,2]
[6,4,5,7,1,2,3]=>[7,5,6,1,2,3,4]
[6,4,5,7,1,3,2]=>[7,5,6,1,2,4,3]
[6,4,5,7,2,1,3]=>[7,5,6,1,3,2,4]
[6,4,5,7,2,3,1]=>[7,5,6,1,3,4,2]
[6,4,5,7,3,1,2]=>[7,5,6,1,4,2,3]
[6,4,5,7,3,2,1]=>[7,5,6,1,4,3,2]
[6,4,7,1,2,3,5]=>[7,5,1,2,3,4,6]
[6,4,7,1,2,5,3]=>[7,5,1,2,3,6,4]
[6,4,7,1,3,2,5]=>[7,5,1,2,4,3,6]
[6,4,7,1,3,5,2]=>[7,5,1,2,4,6,3]
[6,4,7,1,5,2,3]=>[7,5,1,2,6,3,4]
[6,4,7,1,5,3,2]=>[7,5,1,2,6,4,3]
[6,4,7,2,1,3,5]=>[7,5,1,3,2,4,6]
[6,4,7,2,1,5,3]=>[7,5,1,3,2,6,4]
[6,4,7,2,3,1,5]=>[7,5,1,3,4,2,6]
[6,4,7,2,3,5,1]=>[7,5,1,3,4,6,2]
[6,4,7,2,5,1,3]=>[7,5,1,3,6,2,4]
[6,4,7,2,5,3,1]=>[7,5,1,3,6,4,2]
[6,4,7,3,1,2,5]=>[7,5,1,4,2,3,6]
[6,4,7,3,1,5,2]=>[7,5,1,4,2,6,3]
[6,4,7,3,2,1,5]=>[7,5,1,4,3,2,6]
[6,4,7,3,2,5,1]=>[7,5,1,4,3,6,2]
[6,4,7,3,5,1,2]=>[7,5,1,4,6,2,3]
[6,4,7,3,5,2,1]=>[7,5,1,4,6,3,2]
[6,4,7,5,1,2,3]=>[7,5,1,6,2,3,4]
[6,4,7,5,1,3,2]=>[7,5,1,6,2,4,3]
[6,4,7,5,2,1,3]=>[7,5,1,6,3,2,4]
[6,4,7,5,2,3,1]=>[7,5,1,6,3,4,2]
[6,4,7,5,3,1,2]=>[7,5,1,6,4,2,3]
[6,4,7,5,3,2,1]=>[7,5,1,6,4,3,2]
[6,5,1,2,3,4,7]=>[1,7,6,2,3,4,5]
[6,5,1,2,3,7,4]=>[7,6,2,3,4,1,5]
[6,5,1,2,4,3,7]=>[1,7,6,2,3,5,4]
[6,5,1,2,4,7,3]=>[7,6,2,3,5,1,4]
[6,5,1,2,7,3,4]=>[7,6,2,3,1,4,5]
[6,5,1,2,7,4,3]=>[7,6,2,3,1,5,4]
[6,5,1,3,2,4,7]=>[1,7,6,2,4,3,5]
[6,5,1,3,2,7,4]=>[7,6,2,4,3,1,5]
[6,5,1,3,4,2,7]=>[1,7,6,2,4,5,3]
[6,5,1,3,4,7,2]=>[7,6,2,4,5,1,3]
[6,5,1,3,7,2,4]=>[7,6,2,4,1,3,5]
[6,5,1,3,7,4,2]=>[7,6,2,4,1,5,3]
[6,5,1,4,2,3,7]=>[1,7,6,2,5,3,4]
[6,5,1,4,2,7,3]=>[7,6,2,5,3,1,4]
[6,5,1,4,3,2,7]=>[1,7,6,2,5,4,3]
[6,5,1,4,3,7,2]=>[7,6,2,5,4,1,3]
[6,5,1,4,7,2,3]=>[7,6,2,5,1,3,4]
[6,5,1,4,7,3,2]=>[7,6,2,5,1,4,3]
[6,5,1,7,2,3,4]=>[7,6,2,1,3,4,5]
[6,5,1,7,2,4,3]=>[7,6,2,1,3,5,4]
[6,5,1,7,3,2,4]=>[7,6,2,1,4,3,5]
[6,5,1,7,3,4,2]=>[7,6,2,1,4,5,3]
[6,5,1,7,4,2,3]=>[7,6,2,1,5,3,4]
[6,5,1,7,4,3,2]=>[7,6,2,1,5,4,3]
[6,5,2,1,3,4,7]=>[1,7,6,3,2,4,5]
[6,5,2,1,3,7,4]=>[7,6,3,2,4,1,5]
[6,5,2,1,4,3,7]=>[1,7,6,3,2,5,4]
[6,5,2,1,4,7,3]=>[7,6,3,2,5,1,4]
[6,5,2,1,7,3,4]=>[7,6,3,2,1,4,5]
[6,5,2,1,7,4,3]=>[7,6,3,2,1,5,4]
[6,5,2,3,1,4,7]=>[1,7,6,3,4,2,5]
[6,5,2,3,1,7,4]=>[7,6,3,4,2,1,5]
[6,5,2,3,4,1,7]=>[1,7,6,3,4,5,2]
[6,5,2,3,4,7,1]=>[7,6,3,4,5,1,2]
[6,5,2,3,7,1,4]=>[7,6,3,4,1,2,5]
[6,5,2,3,7,4,1]=>[7,6,3,4,1,5,2]
[6,5,2,4,1,3,7]=>[1,7,6,3,5,2,4]
[6,5,2,4,1,7,3]=>[7,6,3,5,2,1,4]
[6,5,2,4,3,1,7]=>[1,7,6,3,5,4,2]
[6,5,2,4,3,7,1]=>[7,6,3,5,4,1,2]
[6,5,2,4,7,1,3]=>[7,6,3,5,1,2,4]
[6,5,2,4,7,3,1]=>[7,6,3,5,1,4,2]
[6,5,2,7,1,3,4]=>[7,6,3,1,2,4,5]
[6,5,2,7,1,4,3]=>[7,6,3,1,2,5,4]
[6,5,2,7,3,1,4]=>[7,6,3,1,4,2,5]
[6,5,2,7,3,4,1]=>[7,6,3,1,4,5,2]
[6,5,2,7,4,1,3]=>[7,6,3,1,5,2,4]
[6,5,2,7,4,3,1]=>[7,6,3,1,5,4,2]
[6,5,3,1,2,4,7]=>[1,7,6,4,2,3,5]
[6,5,3,1,2,7,4]=>[7,6,4,2,3,1,5]
[6,5,3,1,4,2,7]=>[1,7,6,4,2,5,3]
[6,5,3,1,4,7,2]=>[7,6,4,2,5,1,3]
[6,5,3,1,7,2,4]=>[7,6,4,2,1,3,5]
[6,5,3,1,7,4,2]=>[7,6,4,2,1,5,3]
[6,5,3,2,1,4,7]=>[1,7,6,4,3,2,5]
[6,5,3,2,1,7,4]=>[7,6,4,3,2,1,5]
[6,5,3,2,4,1,7]=>[1,7,6,4,3,5,2]
[6,5,3,2,4,7,1]=>[7,6,4,3,5,1,2]
[6,5,3,2,7,1,4]=>[7,6,4,3,1,2,5]
[6,5,3,2,7,4,1]=>[7,6,4,3,1,5,2]
[6,5,3,4,1,2,7]=>[1,7,6,4,5,2,3]
[6,5,3,4,1,7,2]=>[7,6,4,5,2,1,3]
[6,5,3,4,2,1,7]=>[1,7,6,4,5,3,2]
[6,5,3,4,2,7,1]=>[7,6,4,5,3,1,2]
[6,5,3,4,7,1,2]=>[7,6,4,5,1,2,3]
[6,5,3,4,7,2,1]=>[7,6,4,5,1,3,2]
[6,5,3,7,1,2,4]=>[7,6,4,1,2,3,5]
[6,5,3,7,1,4,2]=>[7,6,4,1,2,5,3]
[6,5,3,7,2,1,4]=>[7,6,4,1,3,2,5]
[6,5,3,7,2,4,1]=>[7,6,4,1,3,5,2]
[6,5,3,7,4,1,2]=>[7,6,4,1,5,2,3]
[6,5,3,7,4,2,1]=>[7,6,4,1,5,3,2]
[6,5,4,1,2,3,7]=>[1,7,6,5,2,3,4]
[6,5,4,1,2,7,3]=>[7,6,5,2,3,1,4]
[6,5,4,1,3,2,7]=>[1,7,6,5,2,4,3]
[6,5,4,1,3,7,2]=>[7,6,5,2,4,1,3]
[6,5,4,1,7,2,3]=>[7,6,5,2,1,3,4]
[6,5,4,1,7,3,2]=>[7,6,5,2,1,4,3]
[6,5,4,2,1,3,7]=>[1,7,6,5,3,2,4]
[6,5,4,2,1,7,3]=>[7,6,5,3,2,1,4]
[6,5,4,2,3,1,7]=>[1,7,6,5,3,4,2]
[6,5,4,2,3,7,1]=>[7,6,5,3,4,1,2]
[6,5,4,2,7,1,3]=>[7,6,5,3,1,2,4]
[6,5,4,2,7,3,1]=>[7,6,5,3,1,4,2]
[6,5,4,3,1,2,7]=>[1,7,6,5,4,2,3]
[6,5,4,3,1,7,2]=>[7,6,5,4,2,1,3]
[6,5,4,3,2,1,7]=>[1,7,6,5,4,3,2]
[6,5,4,3,2,7,1]=>[7,6,5,4,3,1,2]
[6,5,4,3,7,1,2]=>[7,6,5,4,1,2,3]
[6,5,4,3,7,2,1]=>[7,6,5,4,1,3,2]
[6,5,4,7,1,2,3]=>[7,6,5,1,2,3,4]
[6,5,4,7,1,3,2]=>[7,6,5,1,2,4,3]
[6,5,4,7,2,1,3]=>[7,6,5,1,3,2,4]
[6,5,4,7,2,3,1]=>[7,6,5,1,3,4,2]
[6,5,4,7,3,1,2]=>[7,6,5,1,4,2,3]
[6,5,4,7,3,2,1]=>[7,6,5,1,4,3,2]
[6,5,7,1,2,3,4]=>[7,6,1,2,3,4,5]
[6,5,7,1,2,4,3]=>[7,6,1,2,3,5,4]
[6,5,7,1,3,2,4]=>[7,6,1,2,4,3,5]
[6,5,7,1,3,4,2]=>[7,6,1,2,4,5,3]
[6,5,7,1,4,2,3]=>[7,6,1,2,5,3,4]
[6,5,7,1,4,3,2]=>[7,6,1,2,5,4,3]
[6,5,7,2,1,3,4]=>[7,6,1,3,2,4,5]
[6,5,7,2,1,4,3]=>[7,6,1,3,2,5,4]
[6,5,7,2,3,1,4]=>[7,6,1,3,4,2,5]
[6,5,7,2,3,4,1]=>[7,6,1,3,4,5,2]
[6,5,7,2,4,1,3]=>[7,6,1,3,5,2,4]
[6,5,7,2,4,3,1]=>[7,6,1,3,5,4,2]
[6,5,7,3,1,2,4]=>[7,6,1,4,2,3,5]
[6,5,7,3,1,4,2]=>[7,6,1,4,2,5,3]
[6,5,7,3,2,1,4]=>[7,6,1,4,3,2,5]
[6,5,7,3,2,4,1]=>[7,6,1,4,3,5,2]
[6,5,7,3,4,1,2]=>[7,6,1,4,5,2,3]
[6,5,7,3,4,2,1]=>[7,6,1,4,5,3,2]
[6,5,7,4,1,2,3]=>[7,6,1,5,2,3,4]
[6,5,7,4,1,3,2]=>[7,6,1,5,2,4,3]
[6,5,7,4,2,1,3]=>[7,6,1,5,3,2,4]
[6,5,7,4,2,3,1]=>[7,6,1,5,3,4,2]
[6,5,7,4,3,1,2]=>[7,6,1,5,4,2,3]
[6,5,7,4,3,2,1]=>[7,6,1,5,4,3,2]
[6,7,1,2,3,4,5]=>[7,1,2,3,4,5,6]
[6,7,1,2,3,5,4]=>[7,1,2,3,4,6,5]
[6,7,1,2,4,3,5]=>[7,1,2,3,5,4,6]
[6,7,1,2,4,5,3]=>[7,1,2,3,5,6,4]
[6,7,1,2,5,3,4]=>[7,1,2,3,6,4,5]
[6,7,1,2,5,4,3]=>[7,1,2,3,6,5,4]
[6,7,1,3,2,4,5]=>[7,1,2,4,3,5,6]
[6,7,1,3,2,5,4]=>[7,1,2,4,3,6,5]
[6,7,1,3,4,2,5]=>[7,1,2,4,5,3,6]
[6,7,1,3,4,5,2]=>[7,1,2,4,5,6,3]
[6,7,1,3,5,2,4]=>[7,1,2,4,6,3,5]
[6,7,1,3,5,4,2]=>[7,1,2,4,6,5,3]
[6,7,1,4,2,3,5]=>[7,1,2,5,3,4,6]
[6,7,1,4,2,5,3]=>[7,1,2,5,3,6,4]
[6,7,1,4,3,2,5]=>[7,1,2,5,4,3,6]
[6,7,1,4,3,5,2]=>[7,1,2,5,4,6,3]
[6,7,1,4,5,2,3]=>[7,1,2,5,6,3,4]
[6,7,1,4,5,3,2]=>[7,1,2,5,6,4,3]
[6,7,1,5,2,3,4]=>[7,1,2,6,3,4,5]
[6,7,1,5,2,4,3]=>[7,1,2,6,3,5,4]
[6,7,1,5,3,2,4]=>[7,1,2,6,4,3,5]
[6,7,1,5,3,4,2]=>[7,1,2,6,4,5,3]
[6,7,1,5,4,2,3]=>[7,1,2,6,5,3,4]
[6,7,1,5,4,3,2]=>[7,1,2,6,5,4,3]
[6,7,2,1,3,4,5]=>[7,1,3,2,4,5,6]
[6,7,2,1,3,5,4]=>[7,1,3,2,4,6,5]
[6,7,2,1,4,3,5]=>[7,1,3,2,5,4,6]
[6,7,2,1,4,5,3]=>[7,1,3,2,5,6,4]
[6,7,2,1,5,3,4]=>[7,1,3,2,6,4,5]
[6,7,2,1,5,4,3]=>[7,1,3,2,6,5,4]
[6,7,2,3,1,4,5]=>[7,1,3,4,2,5,6]
[6,7,2,3,1,5,4]=>[7,1,3,4,2,6,5]
[6,7,2,3,4,1,5]=>[7,1,3,4,5,2,6]
[6,7,2,3,4,5,1]=>[7,1,3,4,5,6,2]
[6,7,2,3,5,1,4]=>[7,1,3,4,6,2,5]
[6,7,2,3,5,4,1]=>[7,1,3,4,6,5,2]
[6,7,2,4,1,3,5]=>[7,1,3,5,2,4,6]
[6,7,2,4,1,5,3]=>[7,1,3,5,2,6,4]
[6,7,2,4,3,1,5]=>[7,1,3,5,4,2,6]
[6,7,2,4,3,5,1]=>[7,1,3,5,4,6,2]
[6,7,2,4,5,1,3]=>[7,1,3,5,6,2,4]
[6,7,2,4,5,3,1]=>[7,1,3,5,6,4,2]
[6,7,2,5,1,3,4]=>[7,1,3,6,2,4,5]
[6,7,2,5,1,4,3]=>[7,1,3,6,2,5,4]
[6,7,2,5,3,1,4]=>[7,1,3,6,4,2,5]
[6,7,2,5,3,4,1]=>[7,1,3,6,4,5,2]
[6,7,2,5,4,1,3]=>[7,1,3,6,5,2,4]
[6,7,2,5,4,3,1]=>[7,1,3,6,5,4,2]
[6,7,3,1,2,4,5]=>[7,1,4,2,3,5,6]
[6,7,3,1,2,5,4]=>[7,1,4,2,3,6,5]
[6,7,3,1,4,2,5]=>[7,1,4,2,5,3,6]
[6,7,3,1,4,5,2]=>[7,1,4,2,5,6,3]
[6,7,3,1,5,2,4]=>[7,1,4,2,6,3,5]
[6,7,3,1,5,4,2]=>[7,1,4,2,6,5,3]
[6,7,3,2,1,4,5]=>[7,1,4,3,2,5,6]
[6,7,3,2,1,5,4]=>[7,1,4,3,2,6,5]
[6,7,3,2,4,1,5]=>[7,1,4,3,5,2,6]
[6,7,3,2,4,5,1]=>[7,1,4,3,5,6,2]
[6,7,3,2,5,1,4]=>[7,1,4,3,6,2,5]
[6,7,3,2,5,4,1]=>[7,1,4,3,6,5,2]
[6,7,3,4,1,2,5]=>[7,1,4,5,2,3,6]
[6,7,3,4,1,5,2]=>[7,1,4,5,2,6,3]
[6,7,3,4,2,1,5]=>[7,1,4,5,3,2,6]
[6,7,3,4,2,5,1]=>[7,1,4,5,3,6,2]
[6,7,3,4,5,1,2]=>[7,1,4,5,6,2,3]
[6,7,3,4,5,2,1]=>[7,1,4,5,6,3,2]
[6,7,3,5,1,2,4]=>[7,1,4,6,2,3,5]
[6,7,3,5,1,4,2]=>[7,1,4,6,2,5,3]
[6,7,3,5,2,1,4]=>[7,1,4,6,3,2,5]
[6,7,3,5,2,4,1]=>[7,1,4,6,3,5,2]
[6,7,3,5,4,1,2]=>[7,1,4,6,5,2,3]
[6,7,3,5,4,2,1]=>[7,1,4,6,5,3,2]
[6,7,4,1,2,3,5]=>[7,1,5,2,3,4,6]
[6,7,4,1,2,5,3]=>[7,1,5,2,3,6,4]
[6,7,4,1,3,2,5]=>[7,1,5,2,4,3,6]
[6,7,4,1,3,5,2]=>[7,1,5,2,4,6,3]
[6,7,4,1,5,2,3]=>[7,1,5,2,6,3,4]
[6,7,4,1,5,3,2]=>[7,1,5,2,6,4,3]
[6,7,4,2,1,3,5]=>[7,1,5,3,2,4,6]
[6,7,4,2,1,5,3]=>[7,1,5,3,2,6,4]
[6,7,4,2,3,1,5]=>[7,1,5,3,4,2,6]
[6,7,4,2,3,5,1]=>[7,1,5,3,4,6,2]
[6,7,4,2,5,1,3]=>[7,1,5,3,6,2,4]
[6,7,4,2,5,3,1]=>[7,1,5,3,6,4,2]
[6,7,4,3,1,2,5]=>[7,1,5,4,2,3,6]
[6,7,4,3,1,5,2]=>[7,1,5,4,2,6,3]
[6,7,4,3,2,1,5]=>[7,1,5,4,3,2,6]
[6,7,4,3,2,5,1]=>[7,1,5,4,3,6,2]
[6,7,4,3,5,1,2]=>[7,1,5,4,6,2,3]
[6,7,4,3,5,2,1]=>[7,1,5,4,6,3,2]
[6,7,4,5,1,2,3]=>[7,1,5,6,2,3,4]
[6,7,4,5,1,3,2]=>[7,1,5,6,2,4,3]
[6,7,4,5,2,1,3]=>[7,1,5,6,3,2,4]
[6,7,4,5,2,3,1]=>[7,1,5,6,3,4,2]
[6,7,4,5,3,1,2]=>[7,1,5,6,4,2,3]
[6,7,4,5,3,2,1]=>[7,1,5,6,4,3,2]
[6,7,5,1,2,3,4]=>[7,1,6,2,3,4,5]
[6,7,5,1,2,4,3]=>[7,1,6,2,3,5,4]
[6,7,5,1,3,2,4]=>[7,1,6,2,4,3,5]
[6,7,5,1,3,4,2]=>[7,1,6,2,4,5,3]
[6,7,5,1,4,2,3]=>[7,1,6,2,5,3,4]
[6,7,5,1,4,3,2]=>[7,1,6,2,5,4,3]
[6,7,5,2,1,3,4]=>[7,1,6,3,2,4,5]
[6,7,5,2,1,4,3]=>[7,1,6,3,2,5,4]
[6,7,5,2,3,1,4]=>[7,1,6,3,4,2,5]
[6,7,5,2,3,4,1]=>[7,1,6,3,4,5,2]
[6,7,5,2,4,1,3]=>[7,1,6,3,5,2,4]
[6,7,5,2,4,3,1]=>[7,1,6,3,5,4,2]
[6,7,5,3,1,2,4]=>[7,1,6,4,2,3,5]
[6,7,5,3,1,4,2]=>[7,1,6,4,2,5,3]
[6,7,5,3,2,1,4]=>[7,1,6,4,3,2,5]
[6,7,5,3,2,4,1]=>[7,1,6,4,3,5,2]
[6,7,5,3,4,1,2]=>[7,1,6,4,5,2,3]
[6,7,5,3,4,2,1]=>[7,1,6,4,5,3,2]
[6,7,5,4,1,2,3]=>[7,1,6,5,2,3,4]
[6,7,5,4,1,3,2]=>[7,1,6,5,2,4,3]
[6,7,5,4,2,1,3]=>[7,1,6,5,3,2,4]
[6,7,5,4,2,3,1]=>[7,1,6,5,3,4,2]
[6,7,5,4,3,1,2]=>[7,1,6,5,4,2,3]
[6,7,5,4,3,2,1]=>[7,1,6,5,4,3,2]
[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]
[7,1,2,3,5,4,6]=>[2,3,4,6,5,7,1]
[7,1,2,3,5,6,4]=>[2,3,4,6,7,5,1]
[7,1,2,3,6,4,5]=>[2,3,4,7,5,6,1]
[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]
[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1]
[7,1,2,4,3,6,5]=>[2,3,5,4,7,6,1]
[7,1,2,4,5,3,6]=>[2,3,5,6,4,7,1]
[7,1,2,4,5,6,3]=>[2,3,5,6,7,4,1]
[7,1,2,4,6,3,5]=>[2,3,5,7,4,6,1]
[7,1,2,4,6,5,3]=>[2,3,5,7,6,4,1]
[7,1,2,5,3,4,6]=>[2,3,6,4,5,7,1]
[7,1,2,5,3,6,4]=>[2,3,6,4,7,5,1]
[7,1,2,5,4,3,6]=>[2,3,6,5,4,7,1]
[7,1,2,5,4,6,3]=>[2,3,6,5,7,4,1]
[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1]
[7,1,2,5,6,4,3]=>[2,3,6,7,5,4,1]
[7,1,2,6,3,4,5]=>[2,3,7,4,5,6,1]
[7,1,2,6,3,5,4]=>[2,3,7,4,6,5,1]
[7,1,2,6,4,3,5]=>[2,3,7,5,4,6,1]
[7,1,2,6,4,5,3]=>[2,3,7,5,6,4,1]
[7,1,2,6,5,3,4]=>[2,3,7,6,4,5,1]
[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1]
[7,1,3,2,4,5,6]=>[2,4,3,5,6,7,1]
[7,1,3,2,4,6,5]=>[2,4,3,5,7,6,1]
[7,1,3,2,5,4,6]=>[2,4,3,6,5,7,1]
[7,1,3,2,5,6,4]=>[2,4,3,6,7,5,1]
[7,1,3,2,6,4,5]=>[2,4,3,7,5,6,1]
[7,1,3,2,6,5,4]=>[2,4,3,7,6,5,1]
[7,1,3,4,2,5,6]=>[2,4,5,3,6,7,1]
[7,1,3,4,2,6,5]=>[2,4,5,3,7,6,1]
[7,1,3,4,5,2,6]=>[2,4,5,6,3,7,1]
[7,1,3,4,5,6,2]=>[2,4,5,6,7,3,1]
[7,1,3,4,6,2,5]=>[2,4,5,7,3,6,1]
[7,1,3,4,6,5,2]=>[2,4,5,7,6,3,1]
[7,1,3,5,2,4,6]=>[2,4,6,3,5,7,1]
[7,1,3,5,2,6,4]=>[2,4,6,3,7,5,1]
[7,1,3,5,4,2,6]=>[2,4,6,5,3,7,1]
[7,1,3,5,4,6,2]=>[2,4,6,5,7,3,1]
[7,1,3,5,6,2,4]=>[2,4,6,7,3,5,1]
[7,1,3,5,6,4,2]=>[2,4,6,7,5,3,1]
[7,1,3,6,2,4,5]=>[2,4,7,3,5,6,1]
[7,1,3,6,2,5,4]=>[2,4,7,3,6,5,1]
[7,1,3,6,4,2,5]=>[2,4,7,5,3,6,1]
[7,1,3,6,4,5,2]=>[2,4,7,5,6,3,1]
[7,1,3,6,5,2,4]=>[2,4,7,6,3,5,1]
[7,1,3,6,5,4,2]=>[2,4,7,6,5,3,1]
[7,1,4,2,3,5,6]=>[2,5,3,4,6,7,1]
[7,1,4,2,3,6,5]=>[2,5,3,4,7,6,1]
[7,1,4,2,5,3,6]=>[2,5,3,6,4,7,1]
[7,1,4,2,5,6,3]=>[2,5,3,6,7,4,1]
[7,1,4,2,6,3,5]=>[2,5,3,7,4,6,1]
[7,1,4,2,6,5,3]=>[2,5,3,7,6,4,1]
[7,1,4,3,2,5,6]=>[2,5,4,3,6,7,1]
[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]
[7,1,4,3,5,2,6]=>[2,5,4,6,3,7,1]
[7,1,4,3,5,6,2]=>[2,5,4,6,7,3,1]
[7,1,4,3,6,2,5]=>[2,5,4,7,3,6,1]
[7,1,4,3,6,5,2]=>[2,5,4,7,6,3,1]
[7,1,4,5,2,3,6]=>[2,5,6,3,4,7,1]
[7,1,4,5,2,6,3]=>[2,5,6,3,7,4,1]
[7,1,4,5,3,2,6]=>[2,5,6,4,3,7,1]
[7,1,4,5,3,6,2]=>[2,5,6,4,7,3,1]
[7,1,4,5,6,2,3]=>[2,5,6,7,3,4,1]
[7,1,4,5,6,3,2]=>[2,5,6,7,4,3,1]
[7,1,4,6,2,3,5]=>[2,5,7,3,4,6,1]
[7,1,4,6,2,5,3]=>[2,5,7,3,6,4,1]
[7,1,4,6,3,2,5]=>[2,5,7,4,3,6,1]
[7,1,4,6,3,5,2]=>[2,5,7,4,6,3,1]
[7,1,4,6,5,2,3]=>[2,5,7,6,3,4,1]
[7,1,4,6,5,3,2]=>[2,5,7,6,4,3,1]
[7,1,5,2,3,4,6]=>[2,6,3,4,5,7,1]
[7,1,5,2,3,6,4]=>[2,6,3,4,7,5,1]
[7,1,5,2,4,3,6]=>[2,6,3,5,4,7,1]
[7,1,5,2,4,6,3]=>[2,6,3,5,7,4,1]
[7,1,5,2,6,3,4]=>[2,6,3,7,4,5,1]
[7,1,5,2,6,4,3]=>[2,6,3,7,5,4,1]
[7,1,5,3,2,4,6]=>[2,6,4,3,5,7,1]
[7,1,5,3,2,6,4]=>[2,6,4,3,7,5,1]
[7,1,5,3,4,2,6]=>[2,6,4,5,3,7,1]
[7,1,5,3,4,6,2]=>[2,6,4,5,7,3,1]
[7,1,5,3,6,2,4]=>[2,6,4,7,3,5,1]
[7,1,5,3,6,4,2]=>[2,6,4,7,5,3,1]
[7,1,5,4,2,3,6]=>[2,6,5,3,4,7,1]
[7,1,5,4,2,6,3]=>[2,6,5,3,7,4,1]
[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]
[7,1,5,4,3,6,2]=>[2,6,5,4,7,3,1]
[7,1,5,4,6,2,3]=>[2,6,5,7,3,4,1]
[7,1,5,4,6,3,2]=>[2,6,5,7,4,3,1]
[7,1,5,6,2,3,4]=>[2,6,7,3,4,5,1]
[7,1,5,6,2,4,3]=>[2,6,7,3,5,4,1]
[7,1,5,6,3,2,4]=>[2,6,7,4,3,5,1]
[7,1,5,6,3,4,2]=>[2,6,7,4,5,3,1]
[7,1,5,6,4,2,3]=>[2,6,7,5,3,4,1]
[7,1,5,6,4,3,2]=>[2,6,7,5,4,3,1]
[7,1,6,2,3,4,5]=>[2,7,3,4,5,6,1]
[7,1,6,2,3,5,4]=>[2,7,3,4,6,5,1]
[7,1,6,2,4,3,5]=>[2,7,3,5,4,6,1]
[7,1,6,2,4,5,3]=>[2,7,3,5,6,4,1]
[7,1,6,2,5,3,4]=>[2,7,3,6,4,5,1]
[7,1,6,2,5,4,3]=>[2,7,3,6,5,4,1]
[7,1,6,3,2,4,5]=>[2,7,4,3,5,6,1]
[7,1,6,3,2,5,4]=>[2,7,4,3,6,5,1]
[7,1,6,3,4,2,5]=>[2,7,4,5,3,6,1]
[7,1,6,3,4,5,2]=>[2,7,4,5,6,3,1]
[7,1,6,3,5,2,4]=>[2,7,4,6,3,5,1]
[7,1,6,3,5,4,2]=>[2,7,4,6,5,3,1]
[7,1,6,4,2,3,5]=>[2,7,5,3,4,6,1]
[7,1,6,4,2,5,3]=>[2,7,5,3,6,4,1]
[7,1,6,4,3,2,5]=>[2,7,5,4,3,6,1]
[7,1,6,4,3,5,2]=>[2,7,5,4,6,3,1]
[7,1,6,4,5,2,3]=>[2,7,5,6,3,4,1]
[7,1,6,4,5,3,2]=>[2,7,5,6,4,3,1]
[7,1,6,5,2,3,4]=>[2,7,6,3,4,5,1]
[7,1,6,5,2,4,3]=>[2,7,6,3,5,4,1]
[7,1,6,5,3,2,4]=>[2,7,6,4,3,5,1]
[7,1,6,5,3,4,2]=>[2,7,6,4,5,3,1]
[7,1,6,5,4,2,3]=>[2,7,6,5,3,4,1]
[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]
[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]
[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1]
[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1]
[7,2,1,3,5,6,4]=>[3,2,4,6,7,5,1]
[7,2,1,3,6,4,5]=>[3,2,4,7,5,6,1]
[7,2,1,3,6,5,4]=>[3,2,4,7,6,5,1]
[7,2,1,4,3,5,6]=>[3,2,5,4,6,7,1]
[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1]
[7,2,1,4,5,3,6]=>[3,2,5,6,4,7,1]
[7,2,1,4,5,6,3]=>[3,2,5,6,7,4,1]
[7,2,1,4,6,3,5]=>[3,2,5,7,4,6,1]
[7,2,1,4,6,5,3]=>[3,2,5,7,6,4,1]
[7,2,1,5,3,4,6]=>[3,2,6,4,5,7,1]
[7,2,1,5,3,6,4]=>[3,2,6,4,7,5,1]
[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]
[7,2,1,5,4,6,3]=>[3,2,6,5,7,4,1]
[7,2,1,5,6,3,4]=>[3,2,6,7,4,5,1]
[7,2,1,5,6,4,3]=>[3,2,6,7,5,4,1]
[7,2,1,6,3,4,5]=>[3,2,7,4,5,6,1]
[7,2,1,6,3,5,4]=>[3,2,7,4,6,5,1]
[7,2,1,6,4,3,5]=>[3,2,7,5,4,6,1]
[7,2,1,6,4,5,3]=>[3,2,7,5,6,4,1]
[7,2,1,6,5,3,4]=>[3,2,7,6,4,5,1]
[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]
[7,2,3,1,4,5,6]=>[3,4,2,5,6,7,1]
[7,2,3,1,4,6,5]=>[3,4,2,5,7,6,1]
[7,2,3,1,5,4,6]=>[3,4,2,6,5,7,1]
[7,2,3,1,5,6,4]=>[3,4,2,6,7,5,1]
[7,2,3,1,6,4,5]=>[3,4,2,7,5,6,1]
[7,2,3,1,6,5,4]=>[3,4,2,7,6,5,1]
[7,2,3,4,1,5,6]=>[3,4,5,2,6,7,1]
[7,2,3,4,1,6,5]=>[3,4,5,2,7,6,1]
[7,2,3,4,5,1,6]=>[3,4,5,6,2,7,1]
[7,2,3,4,5,6,1]=>[3,4,5,6,7,2,1]
[7,2,3,4,6,1,5]=>[3,4,5,7,2,6,1]
[7,2,3,4,6,5,1]=>[3,4,5,7,6,2,1]
[7,2,3,5,1,4,6]=>[3,4,6,2,5,7,1]
[7,2,3,5,1,6,4]=>[3,4,6,2,7,5,1]
[7,2,3,5,4,1,6]=>[3,4,6,5,2,7,1]
[7,2,3,5,4,6,1]=>[3,4,6,5,7,2,1]
[7,2,3,5,6,1,4]=>[3,4,6,7,2,5,1]
[7,2,3,5,6,4,1]=>[3,4,6,7,5,2,1]
[7,2,3,6,1,4,5]=>[3,4,7,2,5,6,1]
[7,2,3,6,1,5,4]=>[3,4,7,2,6,5,1]
[7,2,3,6,4,1,5]=>[3,4,7,5,2,6,1]
[7,2,3,6,4,5,1]=>[3,4,7,5,6,2,1]
[7,2,3,6,5,1,4]=>[3,4,7,6,2,5,1]
[7,2,3,6,5,4,1]=>[3,4,7,6,5,2,1]
[7,2,4,1,3,5,6]=>[3,5,2,4,6,7,1]
[7,2,4,1,3,6,5]=>[3,5,2,4,7,6,1]
[7,2,4,1,5,3,6]=>[3,5,2,6,4,7,1]
[7,2,4,1,5,6,3]=>[3,5,2,6,7,4,1]
[7,2,4,1,6,3,5]=>[3,5,2,7,4,6,1]
[7,2,4,1,6,5,3]=>[3,5,2,7,6,4,1]
[7,2,4,3,1,5,6]=>[3,5,4,2,6,7,1]
[7,2,4,3,1,6,5]=>[3,5,4,2,7,6,1]
[7,2,4,3,5,1,6]=>[3,5,4,6,2,7,1]
[7,2,4,3,5,6,1]=>[3,5,4,6,7,2,1]
[7,2,4,3,6,1,5]=>[3,5,4,7,2,6,1]
[7,2,4,3,6,5,1]=>[3,5,4,7,6,2,1]
[7,2,4,5,1,3,6]=>[3,5,6,2,4,7,1]
[7,2,4,5,1,6,3]=>[3,5,6,2,7,4,1]
[7,2,4,5,3,1,6]=>[3,5,6,4,2,7,1]
[7,2,4,5,3,6,1]=>[3,5,6,4,7,2,1]
[7,2,4,5,6,1,3]=>[3,5,6,7,2,4,1]
[7,2,4,5,6,3,1]=>[3,5,6,7,4,2,1]
[7,2,4,6,1,3,5]=>[3,5,7,2,4,6,1]
[7,2,4,6,1,5,3]=>[3,5,7,2,6,4,1]
[7,2,4,6,3,1,5]=>[3,5,7,4,2,6,1]
[7,2,4,6,3,5,1]=>[3,5,7,4,6,2,1]
[7,2,4,6,5,1,3]=>[3,5,7,6,2,4,1]
[7,2,4,6,5,3,1]=>[3,5,7,6,4,2,1]
[7,2,5,1,3,4,6]=>[3,6,2,4,5,7,1]
[7,2,5,1,3,6,4]=>[3,6,2,4,7,5,1]
[7,2,5,1,4,3,6]=>[3,6,2,5,4,7,1]
[7,2,5,1,4,6,3]=>[3,6,2,5,7,4,1]
[7,2,5,1,6,3,4]=>[3,6,2,7,4,5,1]
[7,2,5,1,6,4,3]=>[3,6,2,7,5,4,1]
[7,2,5,3,1,4,6]=>[3,6,4,2,5,7,1]
[7,2,5,3,1,6,4]=>[3,6,4,2,7,5,1]
[7,2,5,3,4,1,6]=>[3,6,4,5,2,7,1]
[7,2,5,3,4,6,1]=>[3,6,4,5,7,2,1]
[7,2,5,3,6,1,4]=>[3,6,4,7,2,5,1]
[7,2,5,3,6,4,1]=>[3,6,4,7,5,2,1]
[7,2,5,4,1,3,6]=>[3,6,5,2,4,7,1]
[7,2,5,4,1,6,3]=>[3,6,5,2,7,4,1]
[7,2,5,4,3,1,6]=>[3,6,5,4,2,7,1]
[7,2,5,4,3,6,1]=>[3,6,5,4,7,2,1]
[7,2,5,4,6,1,3]=>[3,6,5,7,2,4,1]
[7,2,5,4,6,3,1]=>[3,6,5,7,4,2,1]
[7,2,5,6,1,3,4]=>[3,6,7,2,4,5,1]
[7,2,5,6,1,4,3]=>[3,6,7,2,5,4,1]
[7,2,5,6,3,1,4]=>[3,6,7,4,2,5,1]
[7,2,5,6,3,4,1]=>[3,6,7,4,5,2,1]
[7,2,5,6,4,1,3]=>[3,6,7,5,2,4,1]
[7,2,5,6,4,3,1]=>[3,6,7,5,4,2,1]
[7,2,6,1,3,4,5]=>[3,7,2,4,5,6,1]
[7,2,6,1,3,5,4]=>[3,7,2,4,6,5,1]
[7,2,6,1,4,3,5]=>[3,7,2,5,4,6,1]
[7,2,6,1,4,5,3]=>[3,7,2,5,6,4,1]
[7,2,6,1,5,3,4]=>[3,7,2,6,4,5,1]
[7,2,6,1,5,4,3]=>[3,7,2,6,5,4,1]
[7,2,6,3,1,4,5]=>[3,7,4,2,5,6,1]
[7,2,6,3,1,5,4]=>[3,7,4,2,6,5,1]
[7,2,6,3,4,1,5]=>[3,7,4,5,2,6,1]
[7,2,6,3,4,5,1]=>[3,7,4,5,6,2,1]
[7,2,6,3,5,1,4]=>[3,7,4,6,2,5,1]
[7,2,6,3,5,4,1]=>[3,7,4,6,5,2,1]
[7,2,6,4,1,3,5]=>[3,7,5,2,4,6,1]
[7,2,6,4,1,5,3]=>[3,7,5,2,6,4,1]
[7,2,6,4,3,1,5]=>[3,7,5,4,2,6,1]
[7,2,6,4,3,5,1]=>[3,7,5,4,6,2,1]
[7,2,6,4,5,1,3]=>[3,7,5,6,2,4,1]
[7,2,6,4,5,3,1]=>[3,7,5,6,4,2,1]
[7,2,6,5,1,3,4]=>[3,7,6,2,4,5,1]
[7,2,6,5,1,4,3]=>[3,7,6,2,5,4,1]
[7,2,6,5,3,1,4]=>[3,7,6,4,2,5,1]
[7,2,6,5,3,4,1]=>[3,7,6,4,5,2,1]
[7,2,6,5,4,1,3]=>[3,7,6,5,2,4,1]
[7,2,6,5,4,3,1]=>[3,7,6,5,4,2,1]
[7,3,1,2,4,5,6]=>[4,2,3,5,6,7,1]
[7,3,1,2,4,6,5]=>[4,2,3,5,7,6,1]
[7,3,1,2,5,4,6]=>[4,2,3,6,5,7,1]
[7,3,1,2,5,6,4]=>[4,2,3,6,7,5,1]
[7,3,1,2,6,4,5]=>[4,2,3,7,5,6,1]
[7,3,1,2,6,5,4]=>[4,2,3,7,6,5,1]
[7,3,1,4,2,5,6]=>[4,2,5,3,6,7,1]
[7,3,1,4,2,6,5]=>[4,2,5,3,7,6,1]
[7,3,1,4,5,2,6]=>[4,2,5,6,3,7,1]
[7,3,1,4,5,6,2]=>[4,2,5,6,7,3,1]
[7,3,1,4,6,2,5]=>[4,2,5,7,3,6,1]
[7,3,1,4,6,5,2]=>[4,2,5,7,6,3,1]
[7,3,1,5,2,4,6]=>[4,2,6,3,5,7,1]
[7,3,1,5,2,6,4]=>[4,2,6,3,7,5,1]
[7,3,1,5,4,2,6]=>[4,2,6,5,3,7,1]
[7,3,1,5,4,6,2]=>[4,2,6,5,7,3,1]
[7,3,1,5,6,2,4]=>[4,2,6,7,3,5,1]
[7,3,1,5,6,4,2]=>[4,2,6,7,5,3,1]
[7,3,1,6,2,4,5]=>[4,2,7,3,5,6,1]
[7,3,1,6,2,5,4]=>[4,2,7,3,6,5,1]
[7,3,1,6,4,2,5]=>[4,2,7,5,3,6,1]
[7,3,1,6,4,5,2]=>[4,2,7,5,6,3,1]
[7,3,1,6,5,2,4]=>[4,2,7,6,3,5,1]
[7,3,1,6,5,4,2]=>[4,2,7,6,5,3,1]
[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]
[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1]
[7,3,2,1,5,4,6]=>[4,3,2,6,5,7,1]
[7,3,2,1,5,6,4]=>[4,3,2,6,7,5,1]
[7,3,2,1,6,4,5]=>[4,3,2,7,5,6,1]
[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]
[7,3,2,4,1,5,6]=>[4,3,5,2,6,7,1]
[7,3,2,4,1,6,5]=>[4,3,5,2,7,6,1]
[7,3,2,4,5,1,6]=>[4,3,5,6,2,7,1]
[7,3,2,4,5,6,1]=>[4,3,5,6,7,2,1]
[7,3,2,4,6,1,5]=>[4,3,5,7,2,6,1]
[7,3,2,4,6,5,1]=>[4,3,5,7,6,2,1]
[7,3,2,5,1,4,6]=>[4,3,6,2,5,7,1]
[7,3,2,5,1,6,4]=>[4,3,6,2,7,5,1]
[7,3,2,5,4,1,6]=>[4,3,6,5,2,7,1]
[7,3,2,5,4,6,1]=>[4,3,6,5,7,2,1]
[7,3,2,5,6,1,4]=>[4,3,6,7,2,5,1]
[7,3,2,5,6,4,1]=>[4,3,6,7,5,2,1]
[7,3,2,6,1,4,5]=>[4,3,7,2,5,6,1]
[7,3,2,6,1,5,4]=>[4,3,7,2,6,5,1]
[7,3,2,6,4,1,5]=>[4,3,7,5,2,6,1]
[7,3,2,6,4,5,1]=>[4,3,7,5,6,2,1]
[7,3,2,6,5,1,4]=>[4,3,7,6,2,5,1]
[7,3,2,6,5,4,1]=>[4,3,7,6,5,2,1]
[7,3,4,1,2,5,6]=>[4,5,2,3,6,7,1]
[7,3,4,1,2,6,5]=>[4,5,2,3,7,6,1]
[7,3,4,1,5,2,6]=>[4,5,2,6,3,7,1]
[7,3,4,1,5,6,2]=>[4,5,2,6,7,3,1]
[7,3,4,1,6,2,5]=>[4,5,2,7,3,6,1]
[7,3,4,1,6,5,2]=>[4,5,2,7,6,3,1]
[7,3,4,2,1,5,6]=>[4,5,3,2,6,7,1]
[7,3,4,2,1,6,5]=>[4,5,3,2,7,6,1]
[7,3,4,2,5,1,6]=>[4,5,3,6,2,7,1]
[7,3,4,2,5,6,1]=>[4,5,3,6,7,2,1]
[7,3,4,2,6,1,5]=>[4,5,3,7,2,6,1]
[7,3,4,2,6,5,1]=>[4,5,3,7,6,2,1]
[7,3,4,5,1,2,6]=>[4,5,6,2,3,7,1]
[7,3,4,5,1,6,2]=>[4,5,6,2,7,3,1]
[7,3,4,5,2,1,6]=>[4,5,6,3,2,7,1]
[7,3,4,5,2,6,1]=>[4,5,6,3,7,2,1]
[7,3,4,5,6,1,2]=>[4,5,6,7,2,3,1]
[7,3,4,5,6,2,1]=>[4,5,6,7,3,2,1]
[7,3,4,6,1,2,5]=>[4,5,7,2,3,6,1]
[7,3,4,6,1,5,2]=>[4,5,7,2,6,3,1]
[7,3,4,6,2,1,5]=>[4,5,7,3,2,6,1]
[7,3,4,6,2,5,1]=>[4,5,7,3,6,2,1]
[7,3,4,6,5,1,2]=>[4,5,7,6,2,3,1]
[7,3,4,6,5,2,1]=>[4,5,7,6,3,2,1]
[7,3,5,1,2,4,6]=>[4,6,2,3,5,7,1]
[7,3,5,1,2,6,4]=>[4,6,2,3,7,5,1]
[7,3,5,1,4,2,6]=>[4,6,2,5,3,7,1]
[7,3,5,1,4,6,2]=>[4,6,2,5,7,3,1]
[7,3,5,1,6,2,4]=>[4,6,2,7,3,5,1]
[7,3,5,1,6,4,2]=>[4,6,2,7,5,3,1]
[7,3,5,2,1,4,6]=>[4,6,3,2,5,7,1]
[7,3,5,2,1,6,4]=>[4,6,3,2,7,5,1]
[7,3,5,2,4,1,6]=>[4,6,3,5,2,7,1]
[7,3,5,2,4,6,1]=>[4,6,3,5,7,2,1]
[7,3,5,2,6,1,4]=>[4,6,3,7,2,5,1]
[7,3,5,2,6,4,1]=>[4,6,3,7,5,2,1]
[7,3,5,4,1,2,6]=>[4,6,5,2,3,7,1]
[7,3,5,4,1,6,2]=>[4,6,5,2,7,3,1]
[7,3,5,4,2,1,6]=>[4,6,5,3,2,7,1]
[7,3,5,4,2,6,1]=>[4,6,5,3,7,2,1]
[7,3,5,4,6,1,2]=>[4,6,5,7,2,3,1]
[7,3,5,4,6,2,1]=>[4,6,5,7,3,2,1]
[7,3,5,6,1,2,4]=>[4,6,7,2,3,5,1]
[7,3,5,6,1,4,2]=>[4,6,7,2,5,3,1]
[7,3,5,6,2,1,4]=>[4,6,7,3,2,5,1]
[7,3,5,6,2,4,1]=>[4,6,7,3,5,2,1]
[7,3,5,6,4,1,2]=>[4,6,7,5,2,3,1]
[7,3,5,6,4,2,1]=>[4,6,7,5,3,2,1]
[7,3,6,1,2,4,5]=>[4,7,2,3,5,6,1]
[7,3,6,1,2,5,4]=>[4,7,2,3,6,5,1]
[7,3,6,1,4,2,5]=>[4,7,2,5,3,6,1]
[7,3,6,1,4,5,2]=>[4,7,2,5,6,3,1]
[7,3,6,1,5,2,4]=>[4,7,2,6,3,5,1]
[7,3,6,1,5,4,2]=>[4,7,2,6,5,3,1]
[7,3,6,2,1,4,5]=>[4,7,3,2,5,6,1]
[7,3,6,2,1,5,4]=>[4,7,3,2,6,5,1]
[7,3,6,2,4,1,5]=>[4,7,3,5,2,6,1]
[7,3,6,2,4,5,1]=>[4,7,3,5,6,2,1]
[7,3,6,2,5,1,4]=>[4,7,3,6,2,5,1]
[7,3,6,2,5,4,1]=>[4,7,3,6,5,2,1]
[7,3,6,4,1,2,5]=>[4,7,5,2,3,6,1]
[7,3,6,4,1,5,2]=>[4,7,5,2,6,3,1]
[7,3,6,4,2,1,5]=>[4,7,5,3,2,6,1]
[7,3,6,4,2,5,1]=>[4,7,5,3,6,2,1]
[7,3,6,4,5,1,2]=>[4,7,5,6,2,3,1]
[7,3,6,4,5,2,1]=>[4,7,5,6,3,2,1]
[7,3,6,5,1,2,4]=>[4,7,6,2,3,5,1]
[7,3,6,5,1,4,2]=>[4,7,6,2,5,3,1]
[7,3,6,5,2,1,4]=>[4,7,6,3,2,5,1]
[7,3,6,5,2,4,1]=>[4,7,6,3,5,2,1]
[7,3,6,5,4,1,2]=>[4,7,6,5,2,3,1]
[7,3,6,5,4,2,1]=>[4,7,6,5,3,2,1]
[7,4,1,2,3,5,6]=>[5,2,3,4,6,7,1]
[7,4,1,2,3,6,5]=>[5,2,3,4,7,6,1]
[7,4,1,2,5,3,6]=>[5,2,3,6,4,7,1]
[7,4,1,2,5,6,3]=>[5,2,3,6,7,4,1]
[7,4,1,2,6,3,5]=>[5,2,3,7,4,6,1]
[7,4,1,2,6,5,3]=>[5,2,3,7,6,4,1]
[7,4,1,3,2,5,6]=>[5,2,4,3,6,7,1]
[7,4,1,3,2,6,5]=>[5,2,4,3,7,6,1]
[7,4,1,3,5,2,6]=>[5,2,4,6,3,7,1]
[7,4,1,3,5,6,2]=>[5,2,4,6,7,3,1]
[7,4,1,3,6,2,5]=>[5,2,4,7,3,6,1]
[7,4,1,3,6,5,2]=>[5,2,4,7,6,3,1]
[7,4,1,5,2,3,6]=>[5,2,6,3,4,7,1]
[7,4,1,5,2,6,3]=>[5,2,6,3,7,4,1]
[7,4,1,5,3,2,6]=>[5,2,6,4,3,7,1]
[7,4,1,5,3,6,2]=>[5,2,6,4,7,3,1]
[7,4,1,5,6,2,3]=>[5,2,6,7,3,4,1]
[7,4,1,5,6,3,2]=>[5,2,6,7,4,3,1]
[7,4,1,6,2,3,5]=>[5,2,7,3,4,6,1]
[7,4,1,6,2,5,3]=>[5,2,7,3,6,4,1]
[7,4,1,6,3,2,5]=>[5,2,7,4,3,6,1]
[7,4,1,6,3,5,2]=>[5,2,7,4,6,3,1]
[7,4,1,6,5,2,3]=>[5,2,7,6,3,4,1]
[7,4,1,6,5,3,2]=>[5,2,7,6,4,3,1]
[7,4,2,1,3,5,6]=>[5,3,2,4,6,7,1]
[7,4,2,1,3,6,5]=>[5,3,2,4,7,6,1]
[7,4,2,1,5,3,6]=>[5,3,2,6,4,7,1]
[7,4,2,1,5,6,3]=>[5,3,2,6,7,4,1]
[7,4,2,1,6,3,5]=>[5,3,2,7,4,6,1]
[7,4,2,1,6,5,3]=>[5,3,2,7,6,4,1]
[7,4,2,3,1,5,6]=>[5,3,4,2,6,7,1]
[7,4,2,3,1,6,5]=>[5,3,4,2,7,6,1]
[7,4,2,3,5,1,6]=>[5,3,4,6,2,7,1]
[7,4,2,3,5,6,1]=>[5,3,4,6,7,2,1]
[7,4,2,3,6,1,5]=>[5,3,4,7,2,6,1]
[7,4,2,3,6,5,1]=>[5,3,4,7,6,2,1]
[7,4,2,5,1,3,6]=>[5,3,6,2,4,7,1]
[7,4,2,5,1,6,3]=>[5,3,6,2,7,4,1]
[7,4,2,5,3,1,6]=>[5,3,6,4,2,7,1]
[7,4,2,5,3,6,1]=>[5,3,6,4,7,2,1]
[7,4,2,5,6,1,3]=>[5,3,6,7,2,4,1]
[7,4,2,5,6,3,1]=>[5,3,6,7,4,2,1]
[7,4,2,6,1,3,5]=>[5,3,7,2,4,6,1]
[7,4,2,6,1,5,3]=>[5,3,7,2,6,4,1]
[7,4,2,6,3,1,5]=>[5,3,7,4,2,6,1]
[7,4,2,6,3,5,1]=>[5,3,7,4,6,2,1]
[7,4,2,6,5,1,3]=>[5,3,7,6,2,4,1]
[7,4,2,6,5,3,1]=>[5,3,7,6,4,2,1]
[7,4,3,1,2,5,6]=>[5,4,2,3,6,7,1]
[7,4,3,1,2,6,5]=>[5,4,2,3,7,6,1]
[7,4,3,1,5,2,6]=>[5,4,2,6,3,7,1]
[7,4,3,1,5,6,2]=>[5,4,2,6,7,3,1]
[7,4,3,1,6,2,5]=>[5,4,2,7,3,6,1]
[7,4,3,1,6,5,2]=>[5,4,2,7,6,3,1]
[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]
[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]
[7,4,3,2,5,1,6]=>[5,4,3,6,2,7,1]
[7,4,3,2,5,6,1]=>[5,4,3,6,7,2,1]
[7,4,3,2,6,1,5]=>[5,4,3,7,2,6,1]
[7,4,3,2,6,5,1]=>[5,4,3,7,6,2,1]
[7,4,3,5,1,2,6]=>[5,4,6,2,3,7,1]
[7,4,3,5,1,6,2]=>[5,4,6,2,7,3,1]
[7,4,3,5,2,1,6]=>[5,4,6,3,2,7,1]
[7,4,3,5,2,6,1]=>[5,4,6,3,7,2,1]
[7,4,3,5,6,1,2]=>[5,4,6,7,2,3,1]
[7,4,3,5,6,2,1]=>[5,4,6,7,3,2,1]
[7,4,3,6,1,2,5]=>[5,4,7,2,3,6,1]
[7,4,3,6,1,5,2]=>[5,4,7,2,6,3,1]
[7,4,3,6,2,1,5]=>[5,4,7,3,2,6,1]
[7,4,3,6,2,5,1]=>[5,4,7,3,6,2,1]
[7,4,3,6,5,1,2]=>[5,4,7,6,2,3,1]
[7,4,3,6,5,2,1]=>[5,4,7,6,3,2,1]
[7,4,5,1,2,3,6]=>[5,6,2,3,4,7,1]
[7,4,5,1,2,6,3]=>[5,6,2,3,7,4,1]
[7,4,5,1,3,2,6]=>[5,6,2,4,3,7,1]
[7,4,5,1,3,6,2]=>[5,6,2,4,7,3,1]
[7,4,5,1,6,2,3]=>[5,6,2,7,3,4,1]
[7,4,5,1,6,3,2]=>[5,6,2,7,4,3,1]
[7,4,5,2,1,3,6]=>[5,6,3,2,4,7,1]
[7,4,5,2,1,6,3]=>[5,6,3,2,7,4,1]
[7,4,5,2,3,1,6]=>[5,6,3,4,2,7,1]
[7,4,5,2,3,6,1]=>[5,6,3,4,7,2,1]
[7,4,5,2,6,1,3]=>[5,6,3,7,2,4,1]
[7,4,5,2,6,3,1]=>[5,6,3,7,4,2,1]
[7,4,5,3,1,2,6]=>[5,6,4,2,3,7,1]
[7,4,5,3,1,6,2]=>[5,6,4,2,7,3,1]
[7,4,5,3,2,1,6]=>[5,6,4,3,2,7,1]
[7,4,5,3,2,6,1]=>[5,6,4,3,7,2,1]
[7,4,5,3,6,1,2]=>[5,6,4,7,2,3,1]
[7,4,5,3,6,2,1]=>[5,6,4,7,3,2,1]
[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1]
[7,4,5,6,1,3,2]=>[5,6,7,2,4,3,1]
[7,4,5,6,2,1,3]=>[5,6,7,3,2,4,1]
[7,4,5,6,2,3,1]=>[5,6,7,3,4,2,1]
[7,4,5,6,3,1,2]=>[5,6,7,4,2,3,1]
[7,4,5,6,3,2,1]=>[5,6,7,4,3,2,1]
[7,4,6,1,2,3,5]=>[5,7,2,3,4,6,1]
[7,4,6,1,2,5,3]=>[5,7,2,3,6,4,1]
[7,4,6,1,3,2,5]=>[5,7,2,4,3,6,1]
[7,4,6,1,3,5,2]=>[5,7,2,4,6,3,1]
[7,4,6,1,5,2,3]=>[5,7,2,6,3,4,1]
[7,4,6,1,5,3,2]=>[5,7,2,6,4,3,1]
[7,4,6,2,1,3,5]=>[5,7,3,2,4,6,1]
[7,4,6,2,1,5,3]=>[5,7,3,2,6,4,1]
[7,4,6,2,3,1,5]=>[5,7,3,4,2,6,1]
[7,4,6,2,3,5,1]=>[5,7,3,4,6,2,1]
[7,4,6,2,5,1,3]=>[5,7,3,6,2,4,1]
[7,4,6,2,5,3,1]=>[5,7,3,6,4,2,1]
[7,4,6,3,1,2,5]=>[5,7,4,2,3,6,1]
[7,4,6,3,1,5,2]=>[5,7,4,2,6,3,1]
[7,4,6,3,2,1,5]=>[5,7,4,3,2,6,1]
[7,4,6,3,2,5,1]=>[5,7,4,3,6,2,1]
[7,4,6,3,5,1,2]=>[5,7,4,6,2,3,1]
[7,4,6,3,5,2,1]=>[5,7,4,6,3,2,1]
[7,4,6,5,1,2,3]=>[5,7,6,2,3,4,1]
[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1]
[7,4,6,5,2,1,3]=>[5,7,6,3,2,4,1]
[7,4,6,5,2,3,1]=>[5,7,6,3,4,2,1]
[7,4,6,5,3,1,2]=>[5,7,6,4,2,3,1]
[7,4,6,5,3,2,1]=>[5,7,6,4,3,2,1]
[7,5,1,2,3,4,6]=>[6,2,3,4,5,7,1]
[7,5,1,2,3,6,4]=>[6,2,3,4,7,5,1]
[7,5,1,2,4,3,6]=>[6,2,3,5,4,7,1]
[7,5,1,2,4,6,3]=>[6,2,3,5,7,4,1]
[7,5,1,2,6,3,4]=>[6,2,3,7,4,5,1]
[7,5,1,2,6,4,3]=>[6,2,3,7,5,4,1]
[7,5,1,3,2,4,6]=>[6,2,4,3,5,7,1]
[7,5,1,3,2,6,4]=>[6,2,4,3,7,5,1]
[7,5,1,3,4,2,6]=>[6,2,4,5,3,7,1]
[7,5,1,3,4,6,2]=>[6,2,4,5,7,3,1]
[7,5,1,3,6,2,4]=>[6,2,4,7,3,5,1]
[7,5,1,3,6,4,2]=>[6,2,4,7,5,3,1]
[7,5,1,4,2,3,6]=>[6,2,5,3,4,7,1]
[7,5,1,4,2,6,3]=>[6,2,5,3,7,4,1]
[7,5,1,4,3,2,6]=>[6,2,5,4,3,7,1]
[7,5,1,4,3,6,2]=>[6,2,5,4,7,3,1]
[7,5,1,4,6,2,3]=>[6,2,5,7,3,4,1]
[7,5,1,4,6,3,2]=>[6,2,5,7,4,3,1]
[7,5,1,6,2,3,4]=>[6,2,7,3,4,5,1]
[7,5,1,6,2,4,3]=>[6,2,7,3,5,4,1]
[7,5,1,6,3,2,4]=>[6,2,7,4,3,5,1]
[7,5,1,6,3,4,2]=>[6,2,7,4,5,3,1]
[7,5,1,6,4,2,3]=>[6,2,7,5,3,4,1]
[7,5,1,6,4,3,2]=>[6,2,7,5,4,3,1]
[7,5,2,1,3,4,6]=>[6,3,2,4,5,7,1]
[7,5,2,1,3,6,4]=>[6,3,2,4,7,5,1]
[7,5,2,1,4,3,6]=>[6,3,2,5,4,7,1]
[7,5,2,1,4,6,3]=>[6,3,2,5,7,4,1]
[7,5,2,1,6,3,4]=>[6,3,2,7,4,5,1]
[7,5,2,1,6,4,3]=>[6,3,2,7,5,4,1]
[7,5,2,3,1,4,6]=>[6,3,4,2,5,7,1]
[7,5,2,3,1,6,4]=>[6,3,4,2,7,5,1]
[7,5,2,3,4,1,6]=>[6,3,4,5,2,7,1]
[7,5,2,3,4,6,1]=>[6,3,4,5,7,2,1]
[7,5,2,3,6,1,4]=>[6,3,4,7,2,5,1]
[7,5,2,3,6,4,1]=>[6,3,4,7,5,2,1]
[7,5,2,4,1,3,6]=>[6,3,5,2,4,7,1]
[7,5,2,4,1,6,3]=>[6,3,5,2,7,4,1]
[7,5,2,4,3,1,6]=>[6,3,5,4,2,7,1]
[7,5,2,4,3,6,1]=>[6,3,5,4,7,2,1]
[7,5,2,4,6,1,3]=>[6,3,5,7,2,4,1]
[7,5,2,4,6,3,1]=>[6,3,5,7,4,2,1]
[7,5,2,6,1,3,4]=>[6,3,7,2,4,5,1]
[7,5,2,6,1,4,3]=>[6,3,7,2,5,4,1]
[7,5,2,6,3,1,4]=>[6,3,7,4,2,5,1]
[7,5,2,6,3,4,1]=>[6,3,7,4,5,2,1]
[7,5,2,6,4,1,3]=>[6,3,7,5,2,4,1]
[7,5,2,6,4,3,1]=>[6,3,7,5,4,2,1]
[7,5,3,1,2,4,6]=>[6,4,2,3,5,7,1]
[7,5,3,1,2,6,4]=>[6,4,2,3,7,5,1]
[7,5,3,1,4,2,6]=>[6,4,2,5,3,7,1]
[7,5,3,1,4,6,2]=>[6,4,2,5,7,3,1]
[7,5,3,1,6,2,4]=>[6,4,2,7,3,5,1]
[7,5,3,1,6,4,2]=>[6,4,2,7,5,3,1]
[7,5,3,2,1,4,6]=>[6,4,3,2,5,7,1]
[7,5,3,2,1,6,4]=>[6,4,3,2,7,5,1]
[7,5,3,2,4,1,6]=>[6,4,3,5,2,7,1]
[7,5,3,2,4,6,1]=>[6,4,3,5,7,2,1]
[7,5,3,2,6,1,4]=>[6,4,3,7,2,5,1]
[7,5,3,2,6,4,1]=>[6,4,3,7,5,2,1]
[7,5,3,4,1,2,6]=>[6,4,5,2,3,7,1]
[7,5,3,4,1,6,2]=>[6,4,5,2,7,3,1]
[7,5,3,4,2,1,6]=>[6,4,5,3,2,7,1]
[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[7,5,3,4,6,1,2]=>[6,4,5,7,2,3,1]
[7,5,3,4,6,2,1]=>[6,4,5,7,3,2,1]
[7,5,3,6,1,2,4]=>[6,4,7,2,3,5,1]
[7,5,3,6,1,4,2]=>[6,4,7,2,5,3,1]
[7,5,3,6,2,1,4]=>[6,4,7,3,2,5,1]
[7,5,3,6,2,4,1]=>[6,4,7,3,5,2,1]
[7,5,3,6,4,1,2]=>[6,4,7,5,2,3,1]
[7,5,3,6,4,2,1]=>[6,4,7,5,3,2,1]
[7,5,4,1,2,3,6]=>[6,5,2,3,4,7,1]
[7,5,4,1,2,6,3]=>[6,5,2,3,7,4,1]
[7,5,4,1,3,2,6]=>[6,5,2,4,3,7,1]
[7,5,4,1,3,6,2]=>[6,5,2,4,7,3,1]
[7,5,4,1,6,2,3]=>[6,5,2,7,3,4,1]
[7,5,4,1,6,3,2]=>[6,5,2,7,4,3,1]
[7,5,4,2,1,3,6]=>[6,5,3,2,4,7,1]
[7,5,4,2,1,6,3]=>[6,5,3,2,7,4,1]
[7,5,4,2,3,1,6]=>[6,5,3,4,2,7,1]
[7,5,4,2,3,6,1]=>[6,5,3,4,7,2,1]
[7,5,4,2,6,1,3]=>[6,5,3,7,2,4,1]
[7,5,4,2,6,3,1]=>[6,5,3,7,4,2,1]
[7,5,4,3,1,2,6]=>[6,5,4,2,3,7,1]
[7,5,4,3,1,6,2]=>[6,5,4,2,7,3,1]
[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]
[7,5,4,3,2,6,1]=>[6,5,4,3,7,2,1]
[7,5,4,3,6,1,2]=>[6,5,4,7,2,3,1]
[7,5,4,3,6,2,1]=>[6,5,4,7,3,2,1]
[7,5,4,6,1,2,3]=>[6,5,7,2,3,4,1]
[7,5,4,6,1,3,2]=>[6,5,7,2,4,3,1]
[7,5,4,6,2,1,3]=>[6,5,7,3,2,4,1]
[7,5,4,6,2,3,1]=>[6,5,7,3,4,2,1]
[7,5,4,6,3,1,2]=>[6,5,7,4,2,3,1]
[7,5,4,6,3,2,1]=>[6,5,7,4,3,2,1]
[7,5,6,1,2,3,4]=>[6,7,2,3,4,5,1]
[7,5,6,1,2,4,3]=>[6,7,2,3,5,4,1]
[7,5,6,1,3,2,4]=>[6,7,2,4,3,5,1]
[7,5,6,1,3,4,2]=>[6,7,2,4,5,3,1]
[7,5,6,1,4,2,3]=>[6,7,2,5,3,4,1]
[7,5,6,1,4,3,2]=>[6,7,2,5,4,3,1]
[7,5,6,2,1,3,4]=>[6,7,3,2,4,5,1]
[7,5,6,2,1,4,3]=>[6,7,3,2,5,4,1]
[7,5,6,2,3,1,4]=>[6,7,3,4,2,5,1]
[7,5,6,2,3,4,1]=>[6,7,3,4,5,2,1]
[7,5,6,2,4,1,3]=>[6,7,3,5,2,4,1]
[7,5,6,2,4,3,1]=>[6,7,3,5,4,2,1]
[7,5,6,3,1,2,4]=>[6,7,4,2,3,5,1]
[7,5,6,3,1,4,2]=>[6,7,4,2,5,3,1]
[7,5,6,3,2,1,4]=>[6,7,4,3,2,5,1]
[7,5,6,3,2,4,1]=>[6,7,4,3,5,2,1]
[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1]
[7,5,6,3,4,2,1]=>[6,7,4,5,3,2,1]
[7,5,6,4,1,2,3]=>[6,7,5,2,3,4,1]
[7,5,6,4,1,3,2]=>[6,7,5,2,4,3,1]
[7,5,6,4,2,1,3]=>[6,7,5,3,2,4,1]
[7,5,6,4,2,3,1]=>[6,7,5,3,4,2,1]
[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1]
[7,5,6,4,3,2,1]=>[6,7,5,4,3,2,1]
[7,6,1,2,3,4,5]=>[7,2,3,4,5,6,1]
[7,6,1,2,3,5,4]=>[7,2,3,4,6,5,1]
[7,6,1,2,4,3,5]=>[7,2,3,5,4,6,1]
[7,6,1,2,4,5,3]=>[7,2,3,5,6,4,1]
[7,6,1,2,5,3,4]=>[7,2,3,6,4,5,1]
[7,6,1,2,5,4,3]=>[7,2,3,6,5,4,1]
[7,6,1,3,2,4,5]=>[7,2,4,3,5,6,1]
[7,6,1,3,2,5,4]=>[7,2,4,3,6,5,1]
[7,6,1,3,4,2,5]=>[7,2,4,5,3,6,1]
[7,6,1,3,4,5,2]=>[7,2,4,5,6,3,1]
[7,6,1,3,5,2,4]=>[7,2,4,6,3,5,1]
[7,6,1,3,5,4,2]=>[7,2,4,6,5,3,1]
[7,6,1,4,2,3,5]=>[7,2,5,3,4,6,1]
[7,6,1,4,2,5,3]=>[7,2,5,3,6,4,1]
[7,6,1,4,3,2,5]=>[7,2,5,4,3,6,1]
[7,6,1,4,3,5,2]=>[7,2,5,4,6,3,1]
[7,6,1,4,5,2,3]=>[7,2,5,6,3,4,1]
[7,6,1,4,5,3,2]=>[7,2,5,6,4,3,1]
[7,6,1,5,2,3,4]=>[7,2,6,3,4,5,1]
[7,6,1,5,2,4,3]=>[7,2,6,3,5,4,1]
[7,6,1,5,3,2,4]=>[7,2,6,4,3,5,1]
[7,6,1,5,3,4,2]=>[7,2,6,4,5,3,1]
[7,6,1,5,4,2,3]=>[7,2,6,5,3,4,1]
[7,6,1,5,4,3,2]=>[7,2,6,5,4,3,1]
[7,6,2,1,3,4,5]=>[7,3,2,4,5,6,1]
[7,6,2,1,3,5,4]=>[7,3,2,4,6,5,1]
[7,6,2,1,4,3,5]=>[7,3,2,5,4,6,1]
[7,6,2,1,4,5,3]=>[7,3,2,5,6,4,1]
[7,6,2,1,5,3,4]=>[7,3,2,6,4,5,1]
[7,6,2,1,5,4,3]=>[7,3,2,6,5,4,1]
[7,6,2,3,1,4,5]=>[7,3,4,2,5,6,1]
[7,6,2,3,1,5,4]=>[7,3,4,2,6,5,1]
[7,6,2,3,4,1,5]=>[7,3,4,5,2,6,1]
[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1]
[7,6,2,3,5,1,4]=>[7,3,4,6,2,5,1]
[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1]
[7,6,2,4,1,3,5]=>[7,3,5,2,4,6,1]
[7,6,2,4,1,5,3]=>[7,3,5,2,6,4,1]
[7,6,2,4,3,1,5]=>[7,3,5,4,2,6,1]
[7,6,2,4,3,5,1]=>[7,3,5,4,6,2,1]
[7,6,2,4,5,1,3]=>[7,3,5,6,2,4,1]
[7,6,2,4,5,3,1]=>[7,3,5,6,4,2,1]
[7,6,2,5,1,3,4]=>[7,3,6,2,4,5,1]
[7,6,2,5,1,4,3]=>[7,3,6,2,5,4,1]
[7,6,2,5,3,1,4]=>[7,3,6,4,2,5,1]
[7,6,2,5,3,4,1]=>[7,3,6,4,5,2,1]
[7,6,2,5,4,1,3]=>[7,3,6,5,2,4,1]
[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1]
[7,6,3,1,2,4,5]=>[7,4,2,3,5,6,1]
[7,6,3,1,2,5,4]=>[7,4,2,3,6,5,1]
[7,6,3,1,4,2,5]=>[7,4,2,5,3,6,1]
[7,6,3,1,4,5,2]=>[7,4,2,5,6,3,1]
[7,6,3,1,5,2,4]=>[7,4,2,6,3,5,1]
[7,6,3,1,5,4,2]=>[7,4,2,6,5,3,1]
[7,6,3,2,1,4,5]=>[7,4,3,2,5,6,1]
[7,6,3,2,1,5,4]=>[7,4,3,2,6,5,1]
[7,6,3,2,4,1,5]=>[7,4,3,5,2,6,1]
[7,6,3,2,4,5,1]=>[7,4,3,5,6,2,1]
[7,6,3,2,5,1,4]=>[7,4,3,6,2,5,1]
[7,6,3,2,5,4,1]=>[7,4,3,6,5,2,1]
[7,6,3,4,1,2,5]=>[7,4,5,2,3,6,1]
[7,6,3,4,1,5,2]=>[7,4,5,2,6,3,1]
[7,6,3,4,2,1,5]=>[7,4,5,3,2,6,1]
[7,6,3,4,2,5,1]=>[7,4,5,3,6,2,1]
[7,6,3,4,5,1,2]=>[7,4,5,6,2,3,1]
[7,6,3,4,5,2,1]=>[7,4,5,6,3,2,1]
[7,6,3,5,1,2,4]=>[7,4,6,2,3,5,1]
[7,6,3,5,1,4,2]=>[7,4,6,2,5,3,1]
[7,6,3,5,2,1,4]=>[7,4,6,3,2,5,1]
[7,6,3,5,2,4,1]=>[7,4,6,3,5,2,1]
[7,6,3,5,4,1,2]=>[7,4,6,5,2,3,1]
[7,6,3,5,4,2,1]=>[7,4,6,5,3,2,1]
[7,6,4,1,2,3,5]=>[7,5,2,3,4,6,1]
[7,6,4,1,2,5,3]=>[7,5,2,3,6,4,1]
[7,6,4,1,3,2,5]=>[7,5,2,4,3,6,1]
[7,6,4,1,3,5,2]=>[7,5,2,4,6,3,1]
[7,6,4,1,5,2,3]=>[7,5,2,6,3,4,1]
[7,6,4,1,5,3,2]=>[7,5,2,6,4,3,1]
[7,6,4,2,1,3,5]=>[7,5,3,2,4,6,1]
[7,6,4,2,1,5,3]=>[7,5,3,2,6,4,1]
[7,6,4,2,3,1,5]=>[7,5,3,4,2,6,1]
[7,6,4,2,3,5,1]=>[7,5,3,4,6,2,1]
[7,6,4,2,5,1,3]=>[7,5,3,6,2,4,1]
[7,6,4,2,5,3,1]=>[7,5,3,6,4,2,1]
[7,6,4,3,1,2,5]=>[7,5,4,2,3,6,1]
[7,6,4,3,1,5,2]=>[7,5,4,2,6,3,1]
[7,6,4,3,2,1,5]=>[7,5,4,3,2,6,1]
[7,6,4,3,2,5,1]=>[7,5,4,3,6,2,1]
[7,6,4,3,5,1,2]=>[7,5,4,6,2,3,1]
[7,6,4,3,5,2,1]=>[7,5,4,6,3,2,1]
[7,6,4,5,1,2,3]=>[7,5,6,2,3,4,1]
[7,6,4,5,1,3,2]=>[7,5,6,2,4,3,1]
[7,6,4,5,2,1,3]=>[7,5,6,3,2,4,1]
[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1]
[7,6,4,5,3,1,2]=>[7,5,6,4,2,3,1]
[7,6,4,5,3,2,1]=>[7,5,6,4,3,2,1]
[7,6,5,1,2,3,4]=>[7,6,2,3,4,5,1]
[7,6,5,1,2,4,3]=>[7,6,2,3,5,4,1]
[7,6,5,1,3,2,4]=>[7,6,2,4,3,5,1]
[7,6,5,1,3,4,2]=>[7,6,2,4,5,3,1]
[7,6,5,1,4,2,3]=>[7,6,2,5,3,4,1]
[7,6,5,1,4,3,2]=>[7,6,2,5,4,3,1]
[7,6,5,2,1,3,4]=>[7,6,3,2,4,5,1]
[7,6,5,2,1,4,3]=>[7,6,3,2,5,4,1]
[7,6,5,2,3,1,4]=>[7,6,3,4,2,5,1]
[7,6,5,2,3,4,1]=>[7,6,3,4,5,2,1]
[7,6,5,2,4,1,3]=>[7,6,3,5,2,4,1]
[7,6,5,2,4,3,1]=>[7,6,3,5,4,2,1]
[7,6,5,3,1,2,4]=>[7,6,4,2,3,5,1]
[7,6,5,3,1,4,2]=>[7,6,4,2,5,3,1]
[7,6,5,3,2,1,4]=>[7,6,4,3,2,5,1]
[7,6,5,3,2,4,1]=>[7,6,4,3,5,2,1]
[7,6,5,3,4,1,2]=>[7,6,4,5,2,3,1]
[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1]
[7,6,5,4,1,2,3]=>[7,6,5,2,3,4,1]
[7,6,5,4,1,3,2]=>[7,6,5,2,4,3,1]
[7,6,5,4,2,1,3]=>[7,6,5,3,2,4,1]
[7,6,5,4,2,3,1]=>[7,6,5,3,4,2,1]
[7,6,5,4,3,1,2]=>[7,6,5,4,2,3,1]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]
          

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

Description

Add 1 to every entry of the permutation (n becomes 1 instead of n+1), except that when n appears at the front or the back of the permutation, instead remove it and place 1 at the other end of the permutation.

References

[1] Tanimoto, S. An operator on permutations and its application to Eulerian numbers MathSciNet:1829751 zbMATH:0986.05005 DOI:10.1006/eujc.2000.0497
[2] Tanimoto, S. A study of Eulerian numbers by means of an operator on permutations MathSciNet:1957962 zbMATH:1014.05007 DOI:10.1016/S0195-6698(02)00137-3
[3] Tanimoto, S. On the numbers of orbits of permutations under an operator related to Eulerian numbers MathSciNet:2079934 zbMATH:1048.05004 DOI:10.1007/s00026-004-0218-2
[4] Tanimoto, S. A New Approach to Signed Eulerian Numbers arXiv:math/0602263
[5] Tanimoto, S. A study of Eulerian numbers for permutations in the alternating group MathSciNet:2264846 zbMATH:1104.11011
[6] Tanimoto, S. Combinatorics of the group of parity alternating permutations MathSciNet:2593308 zbMATH:1218.05007 DOI:10.1016/j.aam.2009.07.002
[7] Tanimoto, S. Parity alternating permutations and signed Eulerian numbers MathSciNet:2737324 zbMATH:1233.05217 DOI:10.1007/s00026-010-0064-3

Properties

bijective

Sage code

def mapping(pi):
    n = len(pi)
    # If n is in the front then remove n, add 1 to each entry,
    # and place 1 at the back
    if pi[0] == n:
        return Permutation([i + 1 for i in pi[1:n]] + [1])
    # If n is at the back then remove n, add 1 to each entry,
    # and place 1 at the front
    elif pi[n-1] == n:
        return Permutation([1] + [i + 1 for i in pi[0:n-1]])
    # Otherwise add 1 to each entry, changing n to 1 instead of n+1
    else:
        return Permutation([(i % n) + 1 for i in pi])

Weight

Created

Mar 02, 2025 at 01:16 by Nathan R. Krause

Updated

Mar 06, 2025 at 20:00 by Nathan R. Krause