- FindStat

edit this map or download as text // json

Identifier

Mp00067: Permutations —Foata bijection⟶ Permutations

Images

=>
            
              
            

            [1]=>[1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[3,1,2]
[2,1,3]=>[2,1,3]
[2,3,1]=>[2,3,1]
[3,1,2]=>[1,3,2]
[3,2,1]=>[3,2,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[4,1,2,3]
[1,3,2,4]=>[3,1,2,4]
[1,3,4,2]=>[3,1,4,2]
[1,4,2,3]=>[1,4,2,3]
[1,4,3,2]=>[4,3,1,2]
[2,1,3,4]=>[2,1,3,4]
[2,1,4,3]=>[4,2,1,3]
[2,3,1,4]=>[2,3,1,4]
[2,3,4,1]=>[2,3,4,1]
[2,4,1,3]=>[2,1,4,3]
[2,4,3,1]=>[4,2,3,1]
[3,1,2,4]=>[1,3,2,4]
[3,1,4,2]=>[3,4,1,2]
[3,2,1,4]=>[3,2,1,4]
[3,2,4,1]=>[3,2,4,1]
[3,4,1,2]=>[1,3,4,2]
[3,4,2,1]=>[3,4,2,1]
[4,1,2,3]=>[1,2,4,3]
[4,1,3,2]=>[4,1,3,2]
[4,2,1,3]=>[2,4,1,3]
[4,2,3,1]=>[2,4,3,1]
[4,3,1,2]=>[1,4,3,2]
[4,3,2,1]=>[4,3,2,1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[5,1,2,3,4]
[1,2,4,3,5]=>[4,1,2,3,5]
[1,2,4,5,3]=>[4,1,2,5,3]
[1,2,5,3,4]=>[1,5,2,3,4]
[1,2,5,4,3]=>[5,4,1,2,3]
[1,3,2,4,5]=>[3,1,2,4,5]
[1,3,2,5,4]=>[5,3,1,2,4]
[1,3,4,2,5]=>[3,1,4,2,5]
[1,3,4,5,2]=>[3,1,4,5,2]
[1,3,5,2,4]=>[3,1,2,5,4]
[1,3,5,4,2]=>[5,3,1,4,2]
[1,4,2,3,5]=>[1,4,2,3,5]
[1,4,2,5,3]=>[4,5,1,2,3]
[1,4,3,2,5]=>[4,3,1,2,5]
[1,4,3,5,2]=>[4,3,1,5,2]
[1,4,5,2,3]=>[1,4,2,5,3]
[1,4,5,3,2]=>[4,5,1,3,2]
[1,5,2,3,4]=>[1,2,5,3,4]
[1,5,2,4,3]=>[5,1,4,2,3]
[1,5,3,2,4]=>[3,5,1,2,4]
[1,5,3,4,2]=>[5,1,3,4,2]
[1,5,4,2,3]=>[1,5,4,2,3]
[1,5,4,3,2]=>[5,4,3,1,2]
[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,3,5,4]=>[5,2,1,3,4]
[2,1,4,3,5]=>[4,2,1,3,5]
[2,1,4,5,3]=>[4,2,1,5,3]
[2,1,5,3,4]=>[2,5,1,3,4]
[2,1,5,4,3]=>[5,4,2,1,3]
[2,3,1,4,5]=>[2,3,1,4,5]
[2,3,1,5,4]=>[5,2,3,1,4]
[2,3,4,1,5]=>[2,3,4,1,5]
[2,3,4,5,1]=>[2,3,4,5,1]
[2,3,5,1,4]=>[2,3,1,5,4]
[2,3,5,4,1]=>[5,2,3,4,1]
[2,4,1,3,5]=>[2,1,4,3,5]
[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,3,1,5]=>[4,2,3,1,5]
[2,4,3,5,1]=>[4,2,3,5,1]
[2,4,5,1,3]=>[2,1,4,5,3]
[2,4,5,3,1]=>[4,2,5,3,1]
[2,5,1,3,4]=>[2,1,3,5,4]
[2,5,1,4,3]=>[5,2,1,4,3]
[2,5,3,1,4]=>[2,5,3,1,4]
[2,5,3,4,1]=>[2,5,3,4,1]
[2,5,4,1,3]=>[2,5,1,4,3]
[2,5,4,3,1]=>[5,4,2,3,1]
[3,1,2,4,5]=>[1,3,2,4,5]
[3,1,2,5,4]=>[5,1,3,2,4]
[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,5,2]=>[3,4,1,5,2]
[3,1,5,2,4]=>[3,1,5,2,4]
[3,1,5,4,2]=>[5,3,4,1,2]
[3,2,1,4,5]=>[3,2,1,4,5]
[3,2,1,5,4]=>[5,3,2,1,4]
[3,2,4,1,5]=>[3,2,4,1,5]
[3,2,4,5,1]=>[3,2,4,5,1]
[3,2,5,1,4]=>[3,2,1,5,4]
[3,2,5,4,1]=>[5,3,2,4,1]
[3,4,1,2,5]=>[1,3,4,2,5]
[3,4,1,5,2]=>[3,4,5,1,2]
[3,4,2,1,5]=>[3,4,2,1,5]
[3,4,2,5,1]=>[3,4,2,5,1]
[3,4,5,1,2]=>[1,3,4,5,2]
[3,4,5,2,1]=>[3,4,5,2,1]
[3,5,1,2,4]=>[1,3,2,5,4]
[3,5,1,4,2]=>[3,5,1,4,2]
[3,5,2,1,4]=>[3,2,5,1,4]
[3,5,2,4,1]=>[3,2,5,4,1]
[3,5,4,1,2]=>[1,5,3,4,2]
[3,5,4,2,1]=>[5,3,4,2,1]
[4,1,2,3,5]=>[1,2,4,3,5]
[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,3,2,5]=>[4,1,3,2,5]
[4,1,3,5,2]=>[4,1,3,5,2]
[4,1,5,2,3]=>[1,4,5,2,3]
[4,1,5,3,2]=>[4,5,3,1,2]
[4,2,1,3,5]=>[2,4,1,3,5]
[4,2,1,5,3]=>[4,5,2,1,3]
[4,2,3,1,5]=>[2,4,3,1,5]
[4,2,3,5,1]=>[2,4,3,5,1]
[4,2,5,1,3]=>[2,4,1,5,3]
[4,2,5,3,1]=>[4,5,2,3,1]
[4,3,1,2,5]=>[1,4,3,2,5]
[4,3,1,5,2]=>[4,3,5,1,2]
[4,3,2,1,5]=>[4,3,2,1,5]
[4,3,2,5,1]=>[4,3,2,5,1]
[4,3,5,1,2]=>[1,4,3,5,2]
[4,3,5,2,1]=>[4,3,5,2,1]
[4,5,1,2,3]=>[1,2,4,5,3]
[4,5,1,3,2]=>[4,1,5,3,2]
[4,5,2,1,3]=>[2,4,5,1,3]
[4,5,2,3,1]=>[2,4,5,3,1]
[4,5,3,1,2]=>[1,4,5,3,2]
[4,5,3,2,1]=>[4,5,3,2,1]
[5,1,2,3,4]=>[1,2,3,5,4]
[5,1,2,4,3]=>[5,1,2,4,3]
[5,1,3,2,4]=>[1,5,3,2,4]
[5,1,3,4,2]=>[3,1,5,4,2]
[5,1,4,2,3]=>[1,5,2,4,3]
[5,1,4,3,2]=>[5,4,1,3,2]
[5,2,1,3,4]=>[2,1,5,3,4]
[5,2,1,4,3]=>[5,2,4,1,3]
[5,2,3,1,4]=>[2,3,5,1,4]
[5,2,3,4,1]=>[2,3,5,4,1]
[5,2,4,1,3]=>[2,1,5,4,3]
[5,2,4,3,1]=>[5,2,4,3,1]
[5,3,1,2,4]=>[1,3,5,2,4]
[5,3,1,4,2]=>[3,5,4,1,2]
[5,3,2,1,4]=>[3,5,2,1,4]
[5,3,2,4,1]=>[3,5,2,4,1]
[5,3,4,1,2]=>[1,3,5,4,2]
[5,3,4,2,1]=>[3,5,4,2,1]
[5,4,1,2,3]=>[1,2,5,4,3]
[5,4,1,3,2]=>[5,1,4,3,2]
[5,4,2,1,3]=>[2,5,4,1,3]
[5,4,2,3,1]=>[2,5,4,3,1]
[5,4,3,1,2]=>[1,5,4,3,2]
[5,4,3,2,1]=>[5,4,3,2,1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[6,1,2,3,4,5]
[1,2,3,5,4,6]=>[5,1,2,3,4,6]
[1,2,3,5,6,4]=>[5,1,2,3,6,4]
[1,2,3,6,4,5]=>[1,6,2,3,4,5]
[1,2,3,6,5,4]=>[6,5,1,2,3,4]
[1,2,4,3,5,6]=>[4,1,2,3,5,6]
[1,2,4,3,6,5]=>[6,4,1,2,3,5]
[1,2,4,5,3,6]=>[4,1,2,5,3,6]
[1,2,4,5,6,3]=>[4,1,2,5,6,3]
[1,2,4,6,3,5]=>[4,1,2,3,6,5]
[1,2,4,6,5,3]=>[6,4,1,2,5,3]
[1,2,5,3,4,6]=>[1,5,2,3,4,6]
[1,2,5,3,6,4]=>[5,6,1,2,3,4]
[1,2,5,4,3,6]=>[5,4,1,2,3,6]
[1,2,5,4,6,3]=>[5,4,1,2,6,3]
[1,2,5,6,3,4]=>[1,5,2,3,6,4]
[1,2,5,6,4,3]=>[5,6,1,2,4,3]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[1,2,6,3,5,4]=>[6,1,5,2,3,4]
[1,2,6,4,3,5]=>[4,6,1,2,3,5]
[1,2,6,4,5,3]=>[6,1,4,2,5,3]
[1,2,6,5,3,4]=>[1,6,5,2,3,4]
[1,2,6,5,4,3]=>[6,5,4,1,2,3]
[1,3,2,4,5,6]=>[3,1,2,4,5,6]
[1,3,2,4,6,5]=>[6,3,1,2,4,5]
[1,3,2,5,4,6]=>[5,3,1,2,4,6]
[1,3,2,5,6,4]=>[5,3,1,2,6,4]
[1,3,2,6,4,5]=>[3,6,1,2,4,5]
[1,3,2,6,5,4]=>[6,5,3,1,2,4]
[1,3,4,2,5,6]=>[3,1,4,2,5,6]
[1,3,4,2,6,5]=>[6,3,1,4,2,5]
[1,3,4,5,2,6]=>[3,1,4,5,2,6]
[1,3,4,5,6,2]=>[3,1,4,5,6,2]
[1,3,4,6,2,5]=>[3,1,4,2,6,5]
[1,3,4,6,5,2]=>[6,3,1,4,5,2]
[1,3,5,2,4,6]=>[3,1,2,5,4,6]
[1,3,5,2,6,4]=>[5,3,1,6,2,4]
[1,3,5,4,2,6]=>[5,3,1,4,2,6]
[1,3,5,4,6,2]=>[5,3,1,4,6,2]
[1,3,5,6,2,4]=>[3,1,2,5,6,4]
[1,3,5,6,4,2]=>[5,3,1,6,4,2]
[1,3,6,2,4,5]=>[3,1,2,4,6,5]
[1,3,6,2,5,4]=>[6,3,1,2,5,4]
[1,3,6,4,2,5]=>[3,6,1,4,2,5]
[1,3,6,4,5,2]=>[6,1,3,4,5,2]
[1,3,6,5,2,4]=>[3,6,1,2,5,4]
[1,3,6,5,4,2]=>[6,5,3,1,4,2]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[1,4,2,3,6,5]=>[6,1,4,2,3,5]
[1,4,2,5,3,6]=>[4,5,1,2,3,6]
[1,4,2,5,6,3]=>[4,5,1,2,6,3]
[1,4,2,6,3,5]=>[4,1,6,2,3,5]
[1,4,2,6,5,3]=>[6,4,5,1,2,3]
[1,4,3,2,5,6]=>[4,3,1,2,5,6]
[1,4,3,2,6,5]=>[6,4,3,1,2,5]
[1,4,3,5,2,6]=>[4,3,1,5,2,6]
[1,4,3,5,6,2]=>[4,3,1,5,6,2]
[1,4,3,6,2,5]=>[4,3,1,2,6,5]
[1,4,3,6,5,2]=>[6,4,3,1,5,2]
[1,4,5,2,3,6]=>[1,4,2,5,3,6]
[1,4,5,2,6,3]=>[4,5,1,6,2,3]
[1,4,5,3,2,6]=>[4,5,1,3,2,6]
[1,4,5,3,6,2]=>[4,5,1,3,6,2]
[1,4,5,6,2,3]=>[1,4,2,5,6,3]
[1,4,5,6,3,2]=>[4,5,1,6,3,2]
[1,4,6,2,3,5]=>[1,4,2,3,6,5]
[1,4,6,2,5,3]=>[4,6,1,2,5,3]
[1,4,6,3,2,5]=>[4,1,6,3,2,5]
[1,4,6,3,5,2]=>[4,3,1,6,5,2]
[1,4,6,5,2,3]=>[1,6,4,2,5,3]
[1,4,6,5,3,2]=>[6,4,5,1,3,2]
[1,5,2,3,4,6]=>[1,2,5,3,4,6]
[1,5,2,3,6,4]=>[5,1,6,2,3,4]
[1,5,2,4,3,6]=>[5,1,4,2,3,6]
[1,5,2,4,6,3]=>[5,1,4,2,6,3]
[1,5,2,6,3,4]=>[1,5,6,2,3,4]
[1,5,2,6,4,3]=>[5,6,4,1,2,3]
[1,5,3,2,4,6]=>[3,5,1,2,4,6]
[1,5,3,2,6,4]=>[5,6,3,1,2,4]
[1,5,3,4,2,6]=>[5,1,3,4,2,6]
[1,5,3,4,6,2]=>[5,1,3,4,6,2]
[1,5,3,6,2,4]=>[3,5,1,2,6,4]
[1,5,3,6,4,2]=>[5,6,3,1,4,2]
[1,5,4,2,3,6]=>[1,5,4,2,3,6]
[1,5,4,2,6,3]=>[5,4,6,1,2,3]
[1,5,4,3,2,6]=>[5,4,3,1,2,6]
[1,5,4,3,6,2]=>[5,4,3,1,6,2]
[1,5,4,6,2,3]=>[1,5,4,2,6,3]
[1,5,4,6,3,2]=>[5,4,6,1,3,2]
[1,5,6,2,3,4]=>[1,2,5,3,6,4]
[1,5,6,2,4,3]=>[5,1,6,2,4,3]
[1,5,6,3,2,4]=>[1,5,6,3,2,4]
[1,5,6,3,4,2]=>[5,1,3,6,4,2]
[1,5,6,4,2,3]=>[1,5,6,2,4,3]
[1,5,6,4,3,2]=>[5,6,4,1,3,2]
[1,6,2,3,4,5]=>[1,2,3,6,4,5]
[1,6,2,3,5,4]=>[6,1,2,5,3,4]
[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[1,6,2,4,5,3]=>[6,1,2,4,5,3]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]
[1,6,2,5,4,3]=>[6,5,1,4,2,3]
[1,6,3,2,4,5]=>[3,1,6,2,4,5]
[1,6,3,2,5,4]=>[6,3,5,1,2,4]
[1,6,3,4,2,5]=>[1,6,3,4,2,5]
[1,6,3,4,5,2]=>[3,1,6,4,5,2]
[1,6,3,5,2,4]=>[1,6,3,2,5,4]
[1,6,3,5,4,2]=>[6,5,1,3,4,2]
[1,6,4,2,3,5]=>[1,4,6,2,3,5]
[1,6,4,2,5,3]=>[4,6,5,1,2,3]
[1,6,4,3,2,5]=>[4,6,3,1,2,5]
[1,6,4,3,5,2]=>[4,6,3,1,5,2]
[1,6,4,5,2,3]=>[1,6,2,4,5,3]
[1,6,4,5,3,2]=>[6,4,1,5,3,2]
[1,6,5,2,3,4]=>[1,2,6,5,3,4]
[1,6,5,2,4,3]=>[6,1,5,4,2,3]
[1,6,5,3,2,4]=>[3,6,5,1,2,4]
[1,6,5,3,4,2]=>[6,1,5,3,4,2]
[1,6,5,4,2,3]=>[1,6,5,4,2,3]
[1,6,5,4,3,2]=>[6,5,4,3,1,2]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[2,1,3,4,6,5]=>[6,2,1,3,4,5]
[2,1,3,5,4,6]=>[5,2,1,3,4,6]
[2,1,3,5,6,4]=>[5,2,1,3,6,4]
[2,1,3,6,4,5]=>[2,6,1,3,4,5]
[2,1,3,6,5,4]=>[6,5,2,1,3,4]
[2,1,4,3,5,6]=>[4,2,1,3,5,6]
[2,1,4,3,6,5]=>[6,4,2,1,3,5]
[2,1,4,5,3,6]=>[4,2,1,5,3,6]
[2,1,4,5,6,3]=>[4,2,1,5,6,3]
[2,1,4,6,3,5]=>[4,2,1,3,6,5]
[2,1,4,6,5,3]=>[6,4,2,1,5,3]
[2,1,5,3,4,6]=>[2,5,1,3,4,6]
[2,1,5,3,6,4]=>[5,6,2,1,3,4]
[2,1,5,4,3,6]=>[5,4,2,1,3,6]
[2,1,5,4,6,3]=>[5,4,2,1,6,3]
[2,1,5,6,3,4]=>[2,5,1,3,6,4]
[2,1,5,6,4,3]=>[5,6,2,1,4,3]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]
[2,1,6,3,5,4]=>[6,2,5,1,3,4]
[2,1,6,4,3,5]=>[4,6,2,1,3,5]
[2,1,6,4,5,3]=>[6,2,4,1,5,3]
[2,1,6,5,3,4]=>[2,6,5,1,3,4]
[2,1,6,5,4,3]=>[6,5,4,2,1,3]
[2,3,1,4,5,6]=>[2,3,1,4,5,6]
[2,3,1,4,6,5]=>[6,2,3,1,4,5]
[2,3,1,5,4,6]=>[5,2,3,1,4,6]
[2,3,1,5,6,4]=>[5,2,3,1,6,4]
[2,3,1,6,4,5]=>[2,6,3,1,4,5]
[2,3,1,6,5,4]=>[6,5,2,3,1,4]
[2,3,4,1,5,6]=>[2,3,4,1,5,6]
[2,3,4,1,6,5]=>[6,2,3,4,1,5]
[2,3,4,5,1,6]=>[2,3,4,5,1,6]
[2,3,4,5,6,1]=>[2,3,4,5,6,1]
[2,3,4,6,1,5]=>[2,3,4,1,6,5]
[2,3,4,6,5,1]=>[6,2,3,4,5,1]
[2,3,5,1,4,6]=>[2,3,1,5,4,6]
[2,3,5,1,6,4]=>[5,2,3,6,1,4]
[2,3,5,4,1,6]=>[5,2,3,4,1,6]
[2,3,5,4,6,1]=>[5,2,3,4,6,1]
[2,3,5,6,1,4]=>[2,3,1,5,6,4]
[2,3,5,6,4,1]=>[5,2,3,6,4,1]
[2,3,6,1,4,5]=>[2,3,1,4,6,5]
[2,3,6,1,5,4]=>[6,2,3,1,5,4]
[2,3,6,4,1,5]=>[2,6,3,4,1,5]
[2,3,6,4,5,1]=>[2,6,3,4,5,1]
[2,3,6,5,1,4]=>[2,6,3,1,5,4]
[2,3,6,5,4,1]=>[6,5,2,3,4,1]
[2,4,1,3,5,6]=>[2,1,4,3,5,6]
[2,4,1,3,6,5]=>[6,2,1,4,3,5]
[2,4,1,5,3,6]=>[4,2,5,1,3,6]
[2,4,1,5,6,3]=>[4,2,5,1,6,3]
[2,4,1,6,3,5]=>[4,2,1,6,3,5]
[2,4,1,6,5,3]=>[6,4,2,5,1,3]
[2,4,3,1,5,6]=>[4,2,3,1,5,6]
[2,4,3,1,6,5]=>[6,4,2,3,1,5]
[2,4,3,5,1,6]=>[4,2,3,5,1,6]
[2,4,3,5,6,1]=>[4,2,3,5,6,1]
[2,4,3,6,1,5]=>[4,2,3,1,6,5]
[2,4,3,6,5,1]=>[6,4,2,3,5,1]
[2,4,5,1,3,6]=>[2,1,4,5,3,6]
[2,4,5,1,6,3]=>[4,2,5,6,1,3]
[2,4,5,3,1,6]=>[4,2,5,3,1,6]
[2,4,5,3,6,1]=>[4,2,5,3,6,1]
[2,4,5,6,1,3]=>[2,1,4,5,6,3]
[2,4,5,6,3,1]=>[4,2,5,6,3,1]
[2,4,6,1,3,5]=>[2,1,4,3,6,5]
[2,4,6,1,5,3]=>[4,2,6,1,5,3]
[2,4,6,3,1,5]=>[4,2,3,6,1,5]
[2,4,6,3,5,1]=>[4,2,3,6,5,1]
[2,4,6,5,1,3]=>[2,6,1,4,5,3]
[2,4,6,5,3,1]=>[6,4,2,5,3,1]
[2,5,1,3,4,6]=>[2,1,3,5,4,6]
[2,5,1,3,6,4]=>[5,2,1,6,3,4]
[2,5,1,4,3,6]=>[5,2,1,4,3,6]
[2,5,1,4,6,3]=>[5,2,1,4,6,3]
[2,5,1,6,3,4]=>[2,5,1,6,3,4]
[2,5,1,6,4,3]=>[5,6,2,4,1,3]
[2,5,3,1,4,6]=>[2,5,3,1,4,6]
[2,5,3,1,6,4]=>[5,6,2,3,1,4]
[2,5,3,4,1,6]=>[2,5,3,4,1,6]
[2,5,3,4,6,1]=>[2,5,3,4,6,1]
[2,5,3,6,1,4]=>[2,5,3,1,6,4]
[2,5,3,6,4,1]=>[5,6,2,3,4,1]
[2,5,4,1,3,6]=>[2,5,1,4,3,6]
[2,5,4,1,6,3]=>[5,4,2,6,1,3]
[2,5,4,3,1,6]=>[5,4,2,3,1,6]
[2,5,4,3,6,1]=>[5,4,2,3,6,1]
[2,5,4,6,1,3]=>[2,5,1,4,6,3]
[2,5,4,6,3,1]=>[5,4,2,6,3,1]
[2,5,6,1,3,4]=>[2,1,3,5,6,4]
[2,5,6,1,4,3]=>[5,2,1,6,4,3]
[2,5,6,3,1,4]=>[2,5,3,6,1,4]
[2,5,6,3,4,1]=>[2,5,3,6,4,1]
[2,5,6,4,1,3]=>[2,5,1,6,4,3]
[2,5,6,4,3,1]=>[5,6,2,4,3,1]
[2,6,1,3,4,5]=>[2,1,3,4,6,5]
[2,6,1,3,5,4]=>[6,2,1,3,5,4]
[2,6,1,4,3,5]=>[2,6,1,4,3,5]
[2,6,1,4,5,3]=>[4,2,1,6,5,3]
[2,6,1,5,3,4]=>[2,6,1,3,5,4]
[2,6,1,5,4,3]=>[6,5,2,1,4,3]
[2,6,3,1,4,5]=>[2,3,6,1,4,5]
[2,6,3,1,5,4]=>[6,2,5,3,1,4]
[2,6,3,4,1,5]=>[2,3,6,4,1,5]
[2,6,3,4,5,1]=>[2,3,6,4,5,1]
[2,6,3,5,1,4]=>[2,3,6,1,5,4]
[2,6,3,5,4,1]=>[6,2,5,3,4,1]
[2,6,4,1,3,5]=>[2,1,6,4,3,5]
[2,6,4,1,5,3]=>[6,2,4,5,1,3]
[2,6,4,3,1,5]=>[4,6,2,3,1,5]
[2,6,4,3,5,1]=>[4,6,2,3,5,1]
[2,6,4,5,1,3]=>[2,1,6,4,5,3]
[2,6,4,5,3,1]=>[6,2,4,5,3,1]
[2,6,5,1,3,4]=>[2,1,6,3,5,4]
[2,6,5,1,4,3]=>[6,2,5,1,4,3]
[2,6,5,3,1,4]=>[2,6,5,3,1,4]
[2,6,5,3,4,1]=>[2,6,5,3,4,1]
[2,6,5,4,1,3]=>[2,6,5,1,4,3]
[2,6,5,4,3,1]=>[6,5,4,2,3,1]
[3,1,2,4,5,6]=>[1,3,2,4,5,6]
[3,1,2,4,6,5]=>[6,1,3,2,4,5]
[3,1,2,5,4,6]=>[5,1,3,2,4,6]
[3,1,2,5,6,4]=>[5,1,3,2,6,4]
[3,1,2,6,4,5]=>[1,6,3,2,4,5]
[3,1,2,6,5,4]=>[6,5,1,3,2,4]
[3,1,4,2,5,6]=>[3,4,1,2,5,6]
[3,1,4,2,6,5]=>[6,3,4,1,2,5]
[3,1,4,5,2,6]=>[3,4,1,5,2,6]
[3,1,4,5,6,2]=>[3,4,1,5,6,2]
[3,1,4,6,2,5]=>[3,4,1,2,6,5]
[3,1,4,6,5,2]=>[6,3,4,1,5,2]
[3,1,5,2,4,6]=>[3,1,5,2,4,6]
[3,1,5,2,6,4]=>[5,3,6,1,2,4]
[3,1,5,4,2,6]=>[5,3,4,1,2,6]
[3,1,5,4,6,2]=>[5,3,4,1,6,2]
[3,1,5,6,2,4]=>[3,1,5,2,6,4]
[3,1,5,6,4,2]=>[5,3,6,1,4,2]
[3,1,6,2,4,5]=>[3,1,2,6,4,5]
[3,1,6,2,5,4]=>[6,3,1,5,2,4]
[3,1,6,4,2,5]=>[3,6,4,1,2,5]
[3,1,6,4,5,2]=>[3,6,4,1,5,2]
[3,1,6,5,2,4]=>[3,6,1,5,2,4]
[3,1,6,5,4,2]=>[6,5,3,4,1,2]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]
[3,2,1,4,6,5]=>[6,3,2,1,4,5]
[3,2,1,5,4,6]=>[5,3,2,1,4,6]
[3,2,1,5,6,4]=>[5,3,2,1,6,4]
[3,2,1,6,4,5]=>[3,6,2,1,4,5]
[3,2,1,6,5,4]=>[6,5,3,2,1,4]
[3,2,4,1,5,6]=>[3,2,4,1,5,6]
[3,2,4,1,6,5]=>[6,3,2,4,1,5]
[3,2,4,5,1,6]=>[3,2,4,5,1,6]
[3,2,4,5,6,1]=>[3,2,4,5,6,1]
[3,2,4,6,1,5]=>[3,2,4,1,6,5]
[3,2,4,6,5,1]=>[6,3,2,4,5,1]
[3,2,5,1,4,6]=>[3,2,1,5,4,6]
[3,2,5,1,6,4]=>[5,3,2,6,1,4]
[3,2,5,4,1,6]=>[5,3,2,4,1,6]
[3,2,5,4,6,1]=>[5,3,2,4,6,1]
[3,2,5,6,1,4]=>[3,2,1,5,6,4]
[3,2,5,6,4,1]=>[5,3,2,6,4,1]
[3,2,6,1,4,5]=>[3,2,1,4,6,5]
[3,2,6,1,5,4]=>[6,3,2,1,5,4]
[3,2,6,4,1,5]=>[3,6,2,4,1,5]
[3,2,6,4,5,1]=>[3,6,2,4,5,1]
[3,2,6,5,1,4]=>[3,6,2,1,5,4]
[3,2,6,5,4,1]=>[6,5,3,2,4,1]
[3,4,1,2,5,6]=>[1,3,4,2,5,6]
[3,4,1,2,6,5]=>[6,1,3,4,2,5]
[3,4,1,5,2,6]=>[3,4,5,1,2,6]
[3,4,1,5,6,2]=>[3,4,5,1,6,2]
[3,4,1,6,2,5]=>[3,4,1,6,2,5]
[3,4,1,6,5,2]=>[6,3,4,5,1,2]
[3,4,2,1,5,6]=>[3,4,2,1,5,6]
[3,4,2,1,6,5]=>[6,3,4,2,1,5]
[3,4,2,5,1,6]=>[3,4,2,5,1,6]
[3,4,2,5,6,1]=>[3,4,2,5,6,1]
[3,4,2,6,1,5]=>[3,4,2,1,6,5]
[3,4,2,6,5,1]=>[6,3,4,2,5,1]
[3,4,5,1,2,6]=>[1,3,4,5,2,6]
[3,4,5,1,6,2]=>[3,4,5,6,1,2]
[3,4,5,2,1,6]=>[3,4,5,2,1,6]
[3,4,5,2,6,1]=>[3,4,5,2,6,1]
[3,4,5,6,1,2]=>[1,3,4,5,6,2]
[3,4,5,6,2,1]=>[3,4,5,6,2,1]
[3,4,6,1,2,5]=>[1,3,4,2,6,5]
[3,4,6,1,5,2]=>[3,4,6,1,5,2]
[3,4,6,2,1,5]=>[3,4,2,6,1,5]
[3,4,6,2,5,1]=>[3,4,2,6,5,1]
[3,4,6,5,1,2]=>[1,6,3,4,5,2]
[3,4,6,5,2,1]=>[6,3,4,5,2,1]
[3,5,1,2,4,6]=>[1,3,2,5,4,6]
[3,5,1,2,6,4]=>[5,1,3,6,2,4]
[3,5,1,4,2,6]=>[3,5,1,4,2,6]
[3,5,1,4,6,2]=>[3,5,1,4,6,2]
[3,5,1,6,2,4]=>[3,1,5,6,2,4]
[3,5,1,6,4,2]=>[5,3,6,4,1,2]
[3,5,2,1,4,6]=>[3,2,5,1,4,6]
[3,5,2,1,6,4]=>[5,3,6,2,1,4]
[3,5,2,4,1,6]=>[3,2,5,4,1,6]
[3,5,2,4,6,1]=>[3,2,5,4,6,1]
[3,5,2,6,1,4]=>[3,2,5,1,6,4]
[3,5,2,6,4,1]=>[5,3,6,2,4,1]
[3,5,4,1,2,6]=>[1,5,3,4,2,6]
[3,5,4,1,6,2]=>[5,3,4,6,1,2]
[3,5,4,2,1,6]=>[5,3,4,2,1,6]
[3,5,4,2,6,1]=>[5,3,4,2,6,1]
[3,5,4,6,1,2]=>[1,5,3,4,6,2]
[3,5,4,6,2,1]=>[5,3,4,6,2,1]
[3,5,6,1,2,4]=>[1,3,2,5,6,4]
[3,5,6,1,4,2]=>[3,5,1,6,4,2]
[3,5,6,2,1,4]=>[3,2,5,6,1,4]
[3,5,6,2,4,1]=>[3,2,5,6,4,1]
[3,5,6,4,1,2]=>[1,5,3,6,4,2]
[3,5,6,4,2,1]=>[5,3,6,4,2,1]
[3,6,1,2,4,5]=>[1,3,2,4,6,5]
[3,6,1,2,5,4]=>[6,1,3,2,5,4]
[3,6,1,4,2,5]=>[3,1,6,4,2,5]
[3,6,1,4,5,2]=>[3,4,1,6,5,2]
[3,6,1,5,2,4]=>[3,1,6,2,5,4]
[3,6,1,5,4,2]=>[6,3,5,1,4,2]
[3,6,2,1,4,5]=>[3,2,1,6,4,5]
[3,6,2,1,5,4]=>[6,3,2,5,1,4]
[3,6,2,4,1,5]=>[3,2,4,6,1,5]
[3,6,2,4,5,1]=>[3,2,4,6,5,1]
[3,6,2,5,1,4]=>[3,2,1,6,5,4]
[3,6,2,5,4,1]=>[6,3,2,5,4,1]
[3,6,4,1,2,5]=>[1,3,6,4,2,5]
[3,6,4,1,5,2]=>[3,6,4,5,1,2]
[3,6,4,2,1,5]=>[3,6,4,2,1,5]
[3,6,4,2,5,1]=>[3,6,4,2,5,1]
[3,6,4,5,1,2]=>[1,3,6,4,5,2]
[3,6,4,5,2,1]=>[3,6,4,5,2,1]
[3,6,5,1,2,4]=>[1,3,6,2,5,4]
[3,6,5,1,4,2]=>[3,6,5,1,4,2]
[3,6,5,2,1,4]=>[3,6,2,5,1,4]
[3,6,5,2,4,1]=>[3,6,2,5,4,1]
[3,6,5,4,1,2]=>[1,6,5,3,4,2]
[3,6,5,4,2,1]=>[6,5,3,4,2,1]
[4,1,2,3,5,6]=>[1,2,4,3,5,6]
[4,1,2,3,6,5]=>[6,1,2,4,3,5]
[4,1,2,5,3,6]=>[4,1,5,2,3,6]
[4,1,2,5,6,3]=>[4,1,5,2,6,3]
[4,1,2,6,3,5]=>[4,1,2,6,3,5]
[4,1,2,6,5,3]=>[6,4,1,5,2,3]
[4,1,3,2,5,6]=>[4,1,3,2,5,6]
[4,1,3,2,6,5]=>[6,4,1,3,2,5]
[4,1,3,5,2,6]=>[4,1,3,5,2,6]
[4,1,3,5,6,2]=>[4,1,3,5,6,2]
[4,1,3,6,2,5]=>[4,1,3,2,6,5]
[4,1,3,6,5,2]=>[6,4,1,3,5,2]
[4,1,5,2,3,6]=>[1,4,5,2,3,6]
[4,1,5,2,6,3]=>[4,5,6,1,2,3]
[4,1,5,3,2,6]=>[4,5,3,1,2,6]
[4,1,5,3,6,2]=>[4,5,3,1,6,2]
[4,1,5,6,2,3]=>[1,4,5,2,6,3]
[4,1,5,6,3,2]=>[4,5,6,1,3,2]
[4,1,6,2,3,5]=>[1,4,2,6,3,5]
[4,1,6,2,5,3]=>[4,6,1,5,2,3]
[4,1,6,3,2,5]=>[4,3,6,1,2,5]
[4,1,6,3,5,2]=>[4,6,1,3,5,2]
[4,1,6,5,2,3]=>[1,6,4,5,2,3]
[4,1,6,5,3,2]=>[6,4,5,3,1,2]
[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[4,2,1,3,6,5]=>[6,2,4,1,3,5]
[4,2,1,5,3,6]=>[4,5,2,1,3,6]
[4,2,1,5,6,3]=>[4,5,2,1,6,3]
[4,2,1,6,3,5]=>[4,2,6,1,3,5]
[4,2,1,6,5,3]=>[6,4,5,2,1,3]
[4,2,3,1,5,6]=>[2,4,3,1,5,6]
[4,2,3,1,6,5]=>[6,2,4,3,1,5]
[4,2,3,5,1,6]=>[2,4,3,5,1,6]
[4,2,3,5,6,1]=>[2,4,3,5,6,1]
[4,2,3,6,1,5]=>[2,4,3,1,6,5]
[4,2,3,6,5,1]=>[6,2,4,3,5,1]
[4,2,5,1,3,6]=>[2,4,1,5,3,6]
[4,2,5,1,6,3]=>[4,5,2,6,1,3]
[4,2,5,3,1,6]=>[4,5,2,3,1,6]
[4,2,5,3,6,1]=>[4,5,2,3,6,1]
[4,2,5,6,1,3]=>[2,4,1,5,6,3]
[4,2,5,6,3,1]=>[4,5,2,6,3,1]
[4,2,6,1,3,5]=>[2,4,1,3,6,5]
[4,2,6,1,5,3]=>[4,6,2,1,5,3]
[4,2,6,3,1,5]=>[4,2,6,3,1,5]
[4,2,6,3,5,1]=>[4,2,6,3,5,1]
[4,2,6,5,1,3]=>[2,6,4,1,5,3]
[4,2,6,5,3,1]=>[6,4,5,2,3,1]
[4,3,1,2,5,6]=>[1,4,3,2,5,6]
[4,3,1,2,6,5]=>[6,1,4,3,2,5]
[4,3,1,5,2,6]=>[4,3,5,1,2,6]
[4,3,1,5,6,2]=>[4,3,5,1,6,2]
[4,3,1,6,2,5]=>[4,3,1,6,2,5]
[4,3,1,6,5,2]=>[6,4,3,5,1,2]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]
[4,3,2,1,6,5]=>[6,4,3,2,1,5]
[4,3,2,5,1,6]=>[4,3,2,5,1,6]
[4,3,2,5,6,1]=>[4,3,2,5,6,1]
[4,3,2,6,1,5]=>[4,3,2,1,6,5]
[4,3,2,6,5,1]=>[6,4,3,2,5,1]
[4,3,5,1,2,6]=>[1,4,3,5,2,6]
[4,3,5,1,6,2]=>[4,3,5,6,1,2]
[4,3,5,2,1,6]=>[4,3,5,2,1,6]
[4,3,5,2,6,1]=>[4,3,5,2,6,1]
[4,3,5,6,1,2]=>[1,4,3,5,6,2]
[4,3,5,6,2,1]=>[4,3,5,6,2,1]
[4,3,6,1,2,5]=>[1,4,3,2,6,5]
[4,3,6,1,5,2]=>[4,3,6,1,5,2]
[4,3,6,2,1,5]=>[4,3,2,6,1,5]
[4,3,6,2,5,1]=>[4,3,2,6,5,1]
[4,3,6,5,1,2]=>[1,6,4,3,5,2]
[4,3,6,5,2,1]=>[6,4,3,5,2,1]
[4,5,1,2,3,6]=>[1,2,4,5,3,6]
[4,5,1,2,6,3]=>[4,1,5,6,2,3]
[4,5,1,3,2,6]=>[4,1,5,3,2,6]
[4,5,1,3,6,2]=>[4,1,5,3,6,2]
[4,5,1,6,2,3]=>[1,4,5,6,2,3]
[4,5,1,6,3,2]=>[4,5,6,3,1,2]
[4,5,2,1,3,6]=>[2,4,5,1,3,6]
[4,5,2,1,6,3]=>[4,5,6,2,1,3]
[4,5,2,3,1,6]=>[2,4,5,3,1,6]
[4,5,2,3,6,1]=>[2,4,5,3,6,1]
[4,5,2,6,1,3]=>[2,4,5,1,6,3]
[4,5,2,6,3,1]=>[4,5,6,2,3,1]
[4,5,3,1,2,6]=>[1,4,5,3,2,6]
[4,5,3,1,6,2]=>[4,5,3,6,1,2]
[4,5,3,2,1,6]=>[4,5,3,2,1,6]
[4,5,3,2,6,1]=>[4,5,3,2,6,1]
[4,5,3,6,1,2]=>[1,4,5,3,6,2]
[4,5,3,6,2,1]=>[4,5,3,6,2,1]
[4,5,6,1,2,3]=>[1,2,4,5,6,3]
[4,5,6,1,3,2]=>[4,1,5,6,3,2]
[4,5,6,2,1,3]=>[2,4,5,6,1,3]
[4,5,6,2,3,1]=>[2,4,5,6,3,1]
[4,5,6,3,1,2]=>[1,4,5,6,3,2]
[4,5,6,3,2,1]=>[4,5,6,3,2,1]
[4,6,1,2,3,5]=>[1,2,4,3,6,5]
[4,6,1,2,5,3]=>[4,1,6,2,5,3]
[4,6,1,3,2,5]=>[4,1,3,6,2,5]
[4,6,1,3,5,2]=>[4,1,3,6,5,2]
[4,6,1,5,2,3]=>[1,4,6,2,5,3]
[4,6,1,5,3,2]=>[4,6,5,1,3,2]
[4,6,2,1,3,5]=>[2,4,1,6,3,5]
[4,6,2,1,5,3]=>[4,6,2,5,1,3]
[4,6,2,3,1,5]=>[2,4,3,6,1,5]
[4,6,2,3,5,1]=>[2,4,3,6,5,1]
[4,6,2,5,1,3]=>[2,4,1,6,5,3]
[4,6,2,5,3,1]=>[4,6,2,5,3,1]
[4,6,3,1,2,5]=>[1,4,3,6,2,5]
[4,6,3,1,5,2]=>[4,3,6,5,1,2]
[4,6,3,2,1,5]=>[4,3,6,2,1,5]
[4,6,3,2,5,1]=>[4,3,6,2,5,1]
[4,6,3,5,1,2]=>[1,4,3,6,5,2]
[4,6,3,5,2,1]=>[4,3,6,5,2,1]
[4,6,5,1,2,3]=>[1,2,6,4,5,3]
[4,6,5,1,3,2]=>[6,1,4,5,3,2]
[4,6,5,2,1,3]=>[2,6,4,5,1,3]
[4,6,5,2,3,1]=>[2,6,4,5,3,1]
[4,6,5,3,1,2]=>[1,6,4,5,3,2]
[4,6,5,3,2,1]=>[6,4,5,3,2,1]
[5,1,2,3,4,6]=>[1,2,3,5,4,6]
[5,1,2,3,6,4]=>[5,1,2,6,3,4]
[5,1,2,4,3,6]=>[5,1,2,4,3,6]
[5,1,2,4,6,3]=>[5,1,2,4,6,3]
[5,1,2,6,3,4]=>[1,5,2,6,3,4]
[5,1,2,6,4,3]=>[5,6,1,4,2,3]
[5,1,3,2,4,6]=>[1,5,3,2,4,6]
[5,1,3,2,6,4]=>[5,6,1,3,2,4]
[5,1,3,4,2,6]=>[3,1,5,4,2,6]
[5,1,3,4,6,2]=>[3,1,5,4,6,2]
[5,1,3,6,2,4]=>[1,5,3,2,6,4]
[5,1,3,6,4,2]=>[5,6,1,3,4,2]
[5,1,4,2,3,6]=>[1,5,2,4,3,6]
[5,1,4,2,6,3]=>[5,4,1,6,2,3]
[5,1,4,3,2,6]=>[5,4,1,3,2,6]
[5,1,4,3,6,2]=>[5,4,1,3,6,2]
[5,1,4,6,2,3]=>[1,5,2,4,6,3]
[5,1,4,6,3,2]=>[5,4,1,6,3,2]
[5,1,6,2,3,4]=>[1,2,5,6,3,4]
[5,1,6,2,4,3]=>[5,1,6,4,2,3]
[5,1,6,3,2,4]=>[3,5,6,1,2,4]
[5,1,6,3,4,2]=>[5,1,6,3,4,2]
[5,1,6,4,2,3]=>[1,5,6,4,2,3]
[5,1,6,4,3,2]=>[5,6,4,3,1,2]
[5,2,1,3,4,6]=>[2,1,5,3,4,6]
[5,2,1,3,6,4]=>[5,2,6,1,3,4]
[5,2,1,4,3,6]=>[5,2,4,1,3,6]
[5,2,1,4,6,3]=>[5,2,4,1,6,3]
[5,2,1,6,3,4]=>[2,5,6,1,3,4]
[5,2,1,6,4,3]=>[5,6,4,2,1,3]
[5,2,3,1,4,6]=>[2,3,5,1,4,6]
[5,2,3,1,6,4]=>[5,2,6,3,1,4]
[5,2,3,4,1,6]=>[2,3,5,4,1,6]
[5,2,3,4,6,1]=>[2,3,5,4,6,1]
[5,2,3,6,1,4]=>[2,3,5,1,6,4]
[5,2,3,6,4,1]=>[5,2,6,3,4,1]
[5,2,4,1,3,6]=>[2,1,5,4,3,6]
[5,2,4,1,6,3]=>[5,2,4,6,1,3]
[5,2,4,3,1,6]=>[5,2,4,3,1,6]
[5,2,4,3,6,1]=>[5,2,4,3,6,1]
[5,2,4,6,1,3]=>[2,1,5,4,6,3]
[5,2,4,6,3,1]=>[5,2,4,6,3,1]
[5,2,6,1,3,4]=>[2,1,5,3,6,4]
[5,2,6,1,4,3]=>[5,2,6,1,4,3]
[5,2,6,3,1,4]=>[2,5,6,3,1,4]
[5,2,6,3,4,1]=>[2,5,6,3,4,1]
[5,2,6,4,1,3]=>[2,5,6,1,4,3]
[5,2,6,4,3,1]=>[5,6,4,2,3,1]
[5,3,1,2,4,6]=>[1,3,5,2,4,6]
[5,3,1,2,6,4]=>[5,1,6,3,2,4]
[5,3,1,4,2,6]=>[3,5,4,1,2,6]
[5,3,1,4,6,2]=>[3,5,4,1,6,2]
[5,3,1,6,2,4]=>[3,5,1,6,2,4]
[5,3,1,6,4,2]=>[5,6,3,4,1,2]
[5,3,2,1,4,6]=>[3,5,2,1,4,6]
[5,3,2,1,6,4]=>[5,6,3,2,1,4]
[5,3,2,4,1,6]=>[3,5,2,4,1,6]
[5,3,2,4,6,1]=>[3,5,2,4,6,1]
[5,3,2,6,1,4]=>[3,5,2,1,6,4]
[5,3,2,6,4,1]=>[5,6,3,2,4,1]
[5,3,4,1,2,6]=>[1,3,5,4,2,6]
[5,3,4,1,6,2]=>[3,5,4,6,1,2]
[5,3,4,2,1,6]=>[3,5,4,2,1,6]
[5,3,4,2,6,1]=>[3,5,4,2,6,1]
[5,3,4,6,1,2]=>[1,3,5,4,6,2]
[5,3,4,6,2,1]=>[3,5,4,6,2,1]
[5,3,6,1,2,4]=>[1,3,5,2,6,4]
[5,3,6,1,4,2]=>[3,5,6,1,4,2]
[5,3,6,2,1,4]=>[3,5,2,6,1,4]
[5,3,6,2,4,1]=>[3,5,2,6,4,1]
[5,3,6,4,1,2]=>[1,5,6,3,4,2]
[5,3,6,4,2,1]=>[5,6,3,4,2,1]
[5,4,1,2,3,6]=>[1,2,5,4,3,6]
[5,4,1,2,6,3]=>[5,1,4,6,2,3]
[5,4,1,3,2,6]=>[5,1,4,3,2,6]
[5,4,1,3,6,2]=>[5,1,4,3,6,2]
[5,4,1,6,2,3]=>[1,5,4,6,2,3]
[5,4,1,6,3,2]=>[5,4,6,3,1,2]
[5,4,2,1,3,6]=>[2,5,4,1,3,6]
[5,4,2,1,6,3]=>[5,4,6,2,1,3]
[5,4,2,3,1,6]=>[2,5,4,3,1,6]
[5,4,2,3,6,1]=>[2,5,4,3,6,1]
[5,4,2,6,1,3]=>[2,5,4,1,6,3]
[5,4,2,6,3,1]=>[5,4,6,2,3,1]
[5,4,3,1,2,6]=>[1,5,4,3,2,6]
[5,4,3,1,6,2]=>[5,4,3,6,1,2]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]
[5,4,3,2,6,1]=>[5,4,3,2,6,1]
[5,4,3,6,1,2]=>[1,5,4,3,6,2]
[5,4,3,6,2,1]=>[5,4,3,6,2,1]
[5,4,6,1,2,3]=>[1,2,5,4,6,3]
[5,4,6,1,3,2]=>[5,1,4,6,3,2]
[5,4,6,2,1,3]=>[2,5,4,6,1,3]
[5,4,6,2,3,1]=>[2,5,4,6,3,1]
[5,4,6,3,1,2]=>[1,5,4,6,3,2]
[5,4,6,3,2,1]=>[5,4,6,3,2,1]
[5,6,1,2,3,4]=>[1,2,3,5,6,4]
[5,6,1,2,4,3]=>[5,1,2,6,4,3]
[5,6,1,3,2,4]=>[1,5,3,6,2,4]
[5,6,1,3,4,2]=>[3,1,5,6,4,2]
[5,6,1,4,2,3]=>[1,5,2,6,4,3]
[5,6,1,4,3,2]=>[5,6,1,4,3,2]
[5,6,2,1,3,4]=>[2,1,5,6,3,4]
[5,6,2,1,4,3]=>[5,2,6,4,1,3]
[5,6,2,3,1,4]=>[2,3,5,6,1,4]
[5,6,2,3,4,1]=>[2,3,5,6,4,1]
[5,6,2,4,1,3]=>[2,1,5,6,4,3]
[5,6,2,4,3,1]=>[5,2,6,4,3,1]
[5,6,3,1,2,4]=>[1,3,5,6,2,4]
[5,6,3,1,4,2]=>[3,5,6,4,1,2]
[5,6,3,2,1,4]=>[3,5,6,2,1,4]
[5,6,3,2,4,1]=>[3,5,6,2,4,1]
[5,6,3,4,1,2]=>[1,3,5,6,4,2]
[5,6,3,4,2,1]=>[3,5,6,4,2,1]
[5,6,4,1,2,3]=>[1,2,5,6,4,3]
[5,6,4,1,3,2]=>[5,1,6,4,3,2]
[5,6,4,2,1,3]=>[2,5,6,4,1,3]
[5,6,4,2,3,1]=>[2,5,6,4,3,1]
[5,6,4,3,1,2]=>[1,5,6,4,3,2]
[5,6,4,3,2,1]=>[5,6,4,3,2,1]
[6,1,2,3,4,5]=>[1,2,3,4,6,5]
[6,1,2,3,5,4]=>[6,1,2,3,5,4]
[6,1,2,4,3,5]=>[1,6,2,4,3,5]
[6,1,2,4,5,3]=>[4,1,2,6,5,3]
[6,1,2,5,3,4]=>[1,6,2,3,5,4]
[6,1,2,5,4,3]=>[6,5,1,2,4,3]
[6,1,3,2,4,5]=>[1,3,6,2,4,5]
[6,1,3,2,5,4]=>[6,1,5,3,2,4]
[6,1,3,4,2,5]=>[3,1,4,6,2,5]
[6,1,3,4,5,2]=>[3,1,4,6,5,2]
[6,1,3,5,2,4]=>[3,1,2,6,5,4]
[6,1,3,5,4,2]=>[6,3,1,5,4,2]
[6,1,4,2,3,5]=>[1,2,6,4,3,5]
[6,1,4,2,5,3]=>[6,1,4,5,2,3]
[6,1,4,3,2,5]=>[4,6,1,3,2,5]
[6,1,4,3,5,2]=>[6,1,4,3,5,2]
[6,1,4,5,2,3]=>[1,4,2,6,5,3]
[6,1,4,5,3,2]=>[4,6,1,5,3,2]
[6,1,5,2,3,4]=>[1,2,6,3,5,4]
[6,1,5,2,4,3]=>[6,1,5,2,4,3]
[6,1,5,3,2,4]=>[1,6,5,3,2,4]
[6,1,5,3,4,2]=>[6,1,3,5,4,2]
[6,1,5,4,2,3]=>[1,6,5,2,4,3]
[6,1,5,4,3,2]=>[6,5,4,1,3,2]
[6,2,1,3,4,5]=>[2,1,3,6,4,5]
[6,2,1,3,5,4]=>[6,2,1,5,3,4]
[6,2,1,4,3,5]=>[2,6,4,1,3,5]
[6,2,1,4,5,3]=>[6,2,1,4,5,3]
[6,2,1,5,3,4]=>[2,6,1,5,3,4]
[6,2,1,5,4,3]=>[6,5,2,4,1,3]
[6,2,3,1,4,5]=>[2,3,1,6,4,5]
[6,2,3,1,5,4]=>[6,2,3,5,1,4]
[6,2,3,4,1,5]=>[2,3,4,6,1,5]
[6,2,3,4,5,1]=>[2,3,4,6,5,1]
[6,2,3,5,1,4]=>[2,3,1,6,5,4]
[6,2,3,5,4,1]=>[6,2,3,5,4,1]
[6,2,4,1,3,5]=>[2,1,4,6,3,5]
[6,2,4,1,5,3]=>[4,2,6,5,1,3]
[6,2,4,3,1,5]=>[2,6,4,3,1,5]
[6,2,4,3,5,1]=>[2,6,4,3,5,1]
[6,2,4,5,1,3]=>[2,1,4,6,5,3]
[6,2,4,5,3,1]=>[4,2,6,5,3,1]
[6,2,5,1,3,4]=>[2,1,3,6,5,4]
[6,2,5,1,4,3]=>[6,2,1,5,4,3]
[6,2,5,3,1,4]=>[2,6,3,5,1,4]
[6,2,5,3,4,1]=>[2,6,3,5,4,1]
[6,2,5,4,1,3]=>[2,6,1,5,4,3]
[6,2,5,4,3,1]=>[6,5,2,4,3,1]
[6,3,1,2,4,5]=>[1,3,2,6,4,5]
[6,3,1,2,5,4]=>[6,1,3,5,2,4]
[6,3,1,4,2,5]=>[3,4,6,1,2,5]
[6,3,1,4,5,2]=>[3,6,1,4,5,2]
[6,3,1,5,2,4]=>[3,1,6,5,2,4]
[6,3,1,5,4,2]=>[6,3,5,4,1,2]
[6,3,2,1,4,5]=>[3,2,6,1,4,5]
[6,3,2,1,5,4]=>[6,3,5,2,1,4]
[6,3,2,4,1,5]=>[3,2,6,4,1,5]
[6,3,2,4,5,1]=>[3,2,6,4,5,1]
[6,3,2,5,1,4]=>[3,2,6,1,5,4]
[6,3,2,5,4,1]=>[6,3,5,2,4,1]
[6,3,4,1,2,5]=>[1,3,4,6,2,5]
[6,3,4,1,5,2]=>[3,4,6,5,1,2]
[6,3,4,2,1,5]=>[3,4,6,2,1,5]
[6,3,4,2,5,1]=>[3,4,6,2,5,1]
[6,3,4,5,1,2]=>[1,3,4,6,5,2]
[6,3,4,5,2,1]=>[3,4,6,5,2,1]
[6,3,5,1,2,4]=>[1,3,2,6,5,4]
[6,3,5,1,4,2]=>[3,6,1,5,4,2]
[6,3,5,2,1,4]=>[3,2,6,5,1,4]
[6,3,5,2,4,1]=>[3,2,6,5,4,1]
[6,3,5,4,1,2]=>[1,6,3,5,4,2]
[6,3,5,4,2,1]=>[6,3,5,4,2,1]
[6,4,1,2,3,5]=>[1,2,4,6,3,5]
[6,4,1,2,5,3]=>[4,1,6,5,2,3]
[6,4,1,3,2,5]=>[1,6,4,3,2,5]
[6,4,1,3,5,2]=>[4,1,6,3,5,2]
[6,4,1,5,2,3]=>[1,4,6,5,2,3]
[6,4,1,5,3,2]=>[4,6,5,3,1,2]
[6,4,2,1,3,5]=>[2,4,6,1,3,5]
[6,4,2,1,5,3]=>[4,6,5,2,1,3]
[6,4,2,3,1,5]=>[2,4,6,3,1,5]
[6,4,2,3,5,1]=>[2,4,6,3,5,1]
[6,4,2,5,1,3]=>[2,4,6,1,5,3]
[6,4,2,5,3,1]=>[4,6,5,2,3,1]
[6,4,3,1,2,5]=>[1,4,6,3,2,5]
[6,4,3,1,5,2]=>[4,6,3,5,1,2]
[6,4,3,2,1,5]=>[4,6,3,2,1,5]
[6,4,3,2,5,1]=>[4,6,3,2,5,1]
[6,4,3,5,1,2]=>[1,4,6,3,5,2]
[6,4,3,5,2,1]=>[4,6,3,5,2,1]
[6,4,5,1,2,3]=>[1,2,4,6,5,3]
[6,4,5,1,3,2]=>[4,1,6,5,3,2]
[6,4,5,2,1,3]=>[2,4,6,5,1,3]
[6,4,5,2,3,1]=>[2,4,6,5,3,1]
[6,4,5,3,1,2]=>[1,4,6,5,3,2]
[6,4,5,3,2,1]=>[4,6,5,3,2,1]
[6,5,1,2,3,4]=>[1,2,3,6,5,4]
[6,5,1,2,4,3]=>[6,1,2,5,4,3]
[6,5,1,3,2,4]=>[1,6,3,5,2,4]
[6,5,1,3,4,2]=>[3,1,6,5,4,2]
[6,5,1,4,2,3]=>[1,6,2,5,4,3]
[6,5,1,4,3,2]=>[6,5,1,4,3,2]
[6,5,2,1,3,4]=>[2,1,6,5,3,4]
[6,5,2,1,4,3]=>[6,2,5,4,1,3]
[6,5,2,3,1,4]=>[2,3,6,5,1,4]
[6,5,2,3,4,1]=>[2,3,6,5,4,1]
[6,5,2,4,1,3]=>[2,1,6,5,4,3]
[6,5,2,4,3,1]=>[6,2,5,4,3,1]
[6,5,3,1,2,4]=>[1,3,6,5,2,4]
[6,5,3,1,4,2]=>[3,6,5,4,1,2]
[6,5,3,2,1,4]=>[3,6,5,2,1,4]
[6,5,3,2,4,1]=>[3,6,5,2,4,1]
[6,5,3,4,1,2]=>[1,3,6,5,4,2]
[6,5,3,4,2,1]=>[3,6,5,4,2,1]
[6,5,4,1,2,3]=>[1,2,6,5,4,3]
[6,5,4,1,3,2]=>[6,1,5,4,3,2]
[6,5,4,2,1,3]=>[2,6,5,4,1,3]
[6,5,4,2,3,1]=>[2,6,5,4,3,1]
[6,5,4,3,1,2]=>[1,6,5,4,3,2]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]
[1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]
[1,2,3,4,6,7,5]=>[6,1,2,3,4,7,5]
[1,2,3,4,7,5,6]=>[1,7,2,3,4,5,6]
[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]
[1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]
[1,2,3,5,4,7,6]=>[7,5,1,2,3,4,6]
[1,2,3,5,6,4,7]=>[5,1,2,3,6,4,7]
[1,2,3,5,6,7,4]=>[5,1,2,3,6,7,4]
[1,2,3,5,7,4,6]=>[5,1,2,3,4,7,6]
[1,2,3,5,7,6,4]=>[7,5,1,2,3,6,4]
[1,2,3,6,4,5,7]=>[1,6,2,3,4,5,7]
[1,2,3,6,4,7,5]=>[6,7,1,2,3,4,5]
[1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]
[1,2,3,6,5,7,4]=>[6,5,1,2,3,7,4]
[1,2,3,6,7,4,5]=>[1,6,2,3,4,7,5]
[1,2,3,6,7,5,4]=>[6,7,1,2,3,5,4]
[1,2,3,7,4,5,6]=>[1,2,7,3,4,5,6]
[1,2,3,7,4,6,5]=>[7,1,6,2,3,4,5]
[1,2,3,7,5,4,6]=>[5,7,1,2,3,4,6]
[1,2,3,7,5,6,4]=>[7,1,5,2,3,6,4]
[1,2,3,7,6,4,5]=>[1,7,6,2,3,4,5]
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]
[1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]
[1,2,4,3,5,7,6]=>[7,4,1,2,3,5,6]
[1,2,4,3,6,5,7]=>[6,4,1,2,3,5,7]
[1,2,4,3,6,7,5]=>[6,4,1,2,3,7,5]
[1,2,4,3,7,5,6]=>[4,7,1,2,3,5,6]
[1,2,4,3,7,6,5]=>[7,6,4,1,2,3,5]
[1,2,4,5,3,6,7]=>[4,1,2,5,3,6,7]
[1,2,4,5,3,7,6]=>[7,4,1,2,5,3,6]
[1,2,4,5,6,3,7]=>[4,1,2,5,6,3,7]
[1,2,4,5,6,7,3]=>[4,1,2,5,6,7,3]
[1,2,4,5,7,3,6]=>[4,1,2,5,3,7,6]
[1,2,4,5,7,6,3]=>[7,4,1,2,5,6,3]
[1,2,4,6,3,5,7]=>[4,1,2,3,6,5,7]
[1,2,4,6,3,7,5]=>[6,4,1,2,7,3,5]
[1,2,4,6,5,3,7]=>[6,4,1,2,5,3,7]
[1,2,4,6,5,7,3]=>[6,4,1,2,5,7,3]
[1,2,4,6,7,3,5]=>[4,1,2,3,6,7,5]
[1,2,4,6,7,5,3]=>[6,4,1,2,7,5,3]
[1,2,4,7,3,5,6]=>[4,1,2,3,5,7,6]
[1,2,4,7,3,6,5]=>[7,4,1,2,3,6,5]
[1,2,4,7,5,3,6]=>[4,7,1,2,5,3,6]
[1,2,4,7,5,6,3]=>[7,1,4,2,5,6,3]
[1,2,4,7,6,3,5]=>[4,7,1,2,3,6,5]
[1,2,4,7,6,5,3]=>[7,6,4,1,2,5,3]
[1,2,5,3,4,6,7]=>[1,5,2,3,4,6,7]
[1,2,5,3,4,7,6]=>[7,1,5,2,3,4,6]
[1,2,5,3,6,4,7]=>[5,6,1,2,3,4,7]
[1,2,5,3,6,7,4]=>[5,6,1,2,3,7,4]
[1,2,5,3,7,4,6]=>[5,1,7,2,3,4,6]
[1,2,5,3,7,6,4]=>[7,5,6,1,2,3,4]
[1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]
[1,2,5,4,3,7,6]=>[7,5,4,1,2,3,6]
[1,2,5,4,6,3,7]=>[5,4,1,2,6,3,7]
[1,2,5,4,6,7,3]=>[5,4,1,2,6,7,3]
[1,2,5,4,7,3,6]=>[5,4,1,2,3,7,6]
[1,2,5,4,7,6,3]=>[7,5,4,1,2,6,3]
[1,2,5,6,3,4,7]=>[1,5,2,3,6,4,7]
[1,2,5,6,3,7,4]=>[5,6,1,2,7,3,4]
[1,2,5,6,4,3,7]=>[5,6,1,2,4,3,7]
[1,2,5,6,4,7,3]=>[5,6,1,2,4,7,3]
[1,2,5,6,7,3,4]=>[1,5,2,3,6,7,4]
[1,2,5,6,7,4,3]=>[5,6,1,2,7,4,3]
[1,2,5,7,3,4,6]=>[1,5,2,3,4,7,6]
[1,2,5,7,3,6,4]=>[5,7,1,2,3,6,4]
[1,2,5,7,4,3,6]=>[5,1,7,2,4,3,6]
[1,2,5,7,4,6,3]=>[5,4,1,2,7,6,3]
[1,2,5,7,6,3,4]=>[1,7,5,2,3,6,4]
[1,2,5,7,6,4,3]=>[7,5,6,1,2,4,3]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]
[1,2,6,3,4,7,5]=>[6,1,7,2,3,4,5]
[1,2,6,3,5,4,7]=>[6,1,5,2,3,4,7]
[1,2,6,3,5,7,4]=>[6,1,5,2,3,7,4]
[1,2,6,3,7,4,5]=>[1,6,7,2,3,4,5]
[1,2,6,3,7,5,4]=>[6,7,5,1,2,3,4]
[1,2,6,4,3,5,7]=>[4,6,1,2,3,5,7]
[1,2,6,4,3,7,5]=>[6,7,4,1,2,3,5]
[1,2,6,4,5,3,7]=>[6,1,4,2,5,3,7]
[1,2,6,4,5,7,3]=>[6,1,4,2,5,7,3]
[1,2,6,4,7,3,5]=>[4,6,1,2,3,7,5]
[1,2,6,4,7,5,3]=>[6,7,4,1,2,5,3]
[1,2,6,5,3,4,7]=>[1,6,5,2,3,4,7]
[1,2,6,5,3,7,4]=>[6,5,7,1,2,3,4]
[1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]
[1,2,6,5,4,7,3]=>[6,5,4,1,2,7,3]
[1,2,6,5,7,3,4]=>[1,6,5,2,3,7,4]
[1,2,6,5,7,4,3]=>[6,5,7,1,2,4,3]
[1,2,6,7,3,4,5]=>[1,2,6,3,4,7,5]
[1,2,6,7,3,5,4]=>[6,1,7,2,3,5,4]
[1,2,6,7,4,3,5]=>[1,6,7,2,4,3,5]
[1,2,6,7,4,5,3]=>[6,1,4,2,7,5,3]
[1,2,6,7,5,3,4]=>[1,6,7,2,3,5,4]
[1,2,6,7,5,4,3]=>[6,7,5,1,2,4,3]
[1,2,7,3,4,5,6]=>[1,2,3,7,4,5,6]
[1,2,7,3,4,6,5]=>[7,1,2,6,3,4,5]
[1,2,7,3,5,4,6]=>[1,7,5,2,3,4,6]
[1,2,7,3,5,6,4]=>[7,1,2,5,3,6,4]
[1,2,7,3,6,4,5]=>[1,7,2,6,3,4,5]
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]
[1,2,7,4,3,5,6]=>[4,1,7,2,3,5,6]
[1,2,7,4,3,6,5]=>[7,4,6,1,2,3,5]
[1,2,7,4,5,3,6]=>[1,7,4,2,5,3,6]
[1,2,7,4,5,6,3]=>[7,1,2,4,5,6,3]
[1,2,7,4,6,3,5]=>[1,7,4,2,3,6,5]
[1,2,7,4,6,5,3]=>[7,6,1,4,2,5,3]
[1,2,7,5,3,4,6]=>[1,5,7,2,3,4,6]
[1,2,7,5,3,6,4]=>[5,7,6,1,2,3,4]
[1,2,7,5,4,3,6]=>[5,7,4,1,2,3,6]
[1,2,7,5,4,6,3]=>[5,7,4,1,2,6,3]
[1,2,7,5,6,3,4]=>[1,7,2,5,3,6,4]
[1,2,7,5,6,4,3]=>[7,5,1,6,2,4,3]
[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]
[1,2,7,6,3,5,4]=>[7,1,6,5,2,3,4]
[1,2,7,6,4,3,5]=>[4,7,6,1,2,3,5]
[1,2,7,6,4,5,3]=>[7,1,6,4,2,5,3]
[1,2,7,6,5,3,4]=>[1,7,6,5,2,3,4]
[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]
[1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[1,3,2,4,5,7,6]=>[7,3,1,2,4,5,6]
[1,3,2,4,6,5,7]=>[6,3,1,2,4,5,7]
[1,3,2,4,6,7,5]=>[6,3,1,2,4,7,5]
[1,3,2,4,7,5,6]=>[3,7,1,2,4,5,6]
[1,3,2,4,7,6,5]=>[7,6,3,1,2,4,5]
[1,3,2,5,4,6,7]=>[5,3,1,2,4,6,7]
[1,3,2,5,4,7,6]=>[7,5,3,1,2,4,6]
[1,3,2,5,6,4,7]=>[5,3,1,2,6,4,7]
[1,3,2,5,6,7,4]=>[5,3,1,2,6,7,4]
[1,3,2,5,7,4,6]=>[5,3,1,2,4,7,6]
[1,3,2,5,7,6,4]=>[7,5,3,1,2,6,4]
[1,3,2,6,4,5,7]=>[3,6,1,2,4,5,7]
[1,3,2,6,4,7,5]=>[6,7,3,1,2,4,5]
[1,3,2,6,5,4,7]=>[6,5,3,1,2,4,7]
[1,3,2,6,5,7,4]=>[6,5,3,1,2,7,4]
[1,3,2,6,7,4,5]=>[3,6,1,2,4,7,5]
[1,3,2,6,7,5,4]=>[6,7,3,1,2,5,4]
[1,3,2,7,4,5,6]=>[3,1,7,2,4,5,6]
[1,3,2,7,4,6,5]=>[7,3,6,1,2,4,5]
[1,3,2,7,5,4,6]=>[5,7,3,1,2,4,6]
[1,3,2,7,5,6,4]=>[7,3,5,1,2,6,4]
[1,3,2,7,6,4,5]=>[3,7,6,1,2,4,5]
[1,3,2,7,6,5,4]=>[7,6,5,3,1,2,4]
[1,3,4,2,5,6,7]=>[3,1,4,2,5,6,7]
[1,3,4,2,5,7,6]=>[7,3,1,4,2,5,6]
[1,3,4,2,6,5,7]=>[6,3,1,4,2,5,7]
[1,3,4,2,6,7,5]=>[6,3,1,4,2,7,5]
[1,3,4,2,7,5,6]=>[3,7,1,4,2,5,6]
[1,3,4,2,7,6,5]=>[7,6,3,1,4,2,5]
[1,3,4,5,2,6,7]=>[3,1,4,5,2,6,7]
[1,3,4,5,2,7,6]=>[7,3,1,4,5,2,6]
[1,3,4,5,6,2,7]=>[3,1,4,5,6,2,7]
[1,3,4,5,6,7,2]=>[3,1,4,5,6,7,2]
[1,3,4,5,7,2,6]=>[3,1,4,5,2,7,6]
[1,3,4,5,7,6,2]=>[7,3,1,4,5,6,2]
[1,3,4,6,2,5,7]=>[3,1,4,2,6,5,7]
[1,3,4,6,2,7,5]=>[6,3,1,4,7,2,5]
[1,3,4,6,5,2,7]=>[6,3,1,4,5,2,7]
[1,3,4,6,5,7,2]=>[6,3,1,4,5,7,2]
[1,3,4,6,7,2,5]=>[3,1,4,2,6,7,5]
[1,3,4,6,7,5,2]=>[6,3,1,4,7,5,2]
[1,3,4,7,2,5,6]=>[3,1,4,2,5,7,6]
[1,3,4,7,2,6,5]=>[7,3,1,4,2,6,5]
[1,3,4,7,5,2,6]=>[3,7,1,4,5,2,6]
[1,3,4,7,5,6,2]=>[7,1,3,4,5,6,2]
[1,3,4,7,6,2,5]=>[3,7,1,4,2,6,5]
[1,3,4,7,6,5,2]=>[7,6,3,1,4,5,2]
[1,3,5,2,4,6,7]=>[3,1,2,5,4,6,7]
[1,3,5,2,4,7,6]=>[7,3,1,2,5,4,6]
[1,3,5,2,6,4,7]=>[5,3,1,6,2,4,7]
[1,3,5,2,6,7,4]=>[5,3,1,6,2,7,4]
[1,3,5,2,7,4,6]=>[5,3,1,2,7,4,6]
[1,3,5,2,7,6,4]=>[7,5,3,1,6,2,4]
[1,3,5,4,2,6,7]=>[5,3,1,4,2,6,7]
[1,3,5,4,2,7,6]=>[7,5,3,1,4,2,6]
[1,3,5,4,6,2,7]=>[5,3,1,4,6,2,7]
[1,3,5,4,6,7,2]=>[5,3,1,4,6,7,2]
[1,3,5,4,7,2,6]=>[5,3,1,4,2,7,6]
[1,3,5,4,7,6,2]=>[7,5,3,1,4,6,2]
[1,3,5,6,2,4,7]=>[3,1,2,5,6,4,7]
[1,3,5,6,2,7,4]=>[5,3,1,6,7,2,4]
[1,3,5,6,4,2,7]=>[5,3,1,6,4,2,7]
[1,3,5,6,4,7,2]=>[5,3,1,6,4,7,2]
[1,3,5,6,7,2,4]=>[3,1,2,5,6,7,4]
[1,3,5,6,7,4,2]=>[5,3,1,6,7,4,2]
[1,3,5,7,2,4,6]=>[3,1,2,5,4,7,6]
[1,3,5,7,2,6,4]=>[5,3,1,7,2,6,4]
[1,3,5,7,4,2,6]=>[5,3,1,4,7,2,6]
[1,3,5,7,4,6,2]=>[5,3,1,4,7,6,2]
[1,3,5,7,6,2,4]=>[3,7,1,2,5,6,4]
[1,3,5,7,6,4,2]=>[7,5,3,1,6,4,2]
[1,3,6,2,4,5,7]=>[3,1,2,4,6,5,7]
[1,3,6,2,4,7,5]=>[6,3,1,2,7,4,5]
[1,3,6,2,5,4,7]=>[6,3,1,2,5,4,7]
[1,3,6,2,5,7,4]=>[6,3,1,2,5,7,4]
[1,3,6,2,7,4,5]=>[3,6,1,2,7,4,5]
[1,3,6,2,7,5,4]=>[6,7,3,1,5,2,4]
[1,3,6,4,2,5,7]=>[3,6,1,4,2,5,7]
[1,3,6,4,2,7,5]=>[6,7,3,1,4,2,5]
[1,3,6,4,5,2,7]=>[6,1,3,4,5,2,7]
[1,3,6,4,5,7,2]=>[6,1,3,4,5,7,2]
[1,3,6,4,7,2,5]=>[3,6,1,4,2,7,5]
[1,3,6,4,7,5,2]=>[6,7,3,1,4,5,2]
[1,3,6,5,2,4,7]=>[3,6,1,2,5,4,7]
[1,3,6,5,2,7,4]=>[6,5,3,1,7,2,4]
[1,3,6,5,4,2,7]=>[6,5,3,1,4,2,7]
[1,3,6,5,4,7,2]=>[6,5,3,1,4,7,2]
[1,3,6,5,7,2,4]=>[3,6,1,2,5,7,4]
[1,3,6,5,7,4,2]=>[6,5,3,1,7,4,2]
[1,3,6,7,2,4,5]=>[3,1,2,4,6,7,5]
[1,3,6,7,2,5,4]=>[6,3,1,2,7,5,4]
[1,3,6,7,4,2,5]=>[3,6,1,4,7,2,5]
[1,3,6,7,4,5,2]=>[6,1,3,4,7,5,2]
[1,3,6,7,5,2,4]=>[3,6,1,2,7,5,4]
[1,3,6,7,5,4,2]=>[6,7,3,1,5,4,2]
[1,3,7,2,4,5,6]=>[3,1,2,4,5,7,6]
[1,3,7,2,4,6,5]=>[7,3,1,2,4,6,5]
[1,3,7,2,5,4,6]=>[3,7,1,2,5,4,6]
[1,3,7,2,5,6,4]=>[5,3,1,2,7,6,4]
[1,3,7,2,6,4,5]=>[3,7,1,2,4,6,5]
[1,3,7,2,6,5,4]=>[7,6,3,1,2,5,4]
[1,3,7,4,2,5,6]=>[3,1,7,4,2,5,6]
[1,3,7,4,2,6,5]=>[7,3,6,1,4,2,5]
[1,3,7,4,5,2,6]=>[1,7,3,4,5,2,6]
[1,3,7,4,5,6,2]=>[3,1,7,4,5,6,2]
[1,3,7,4,6,2,5]=>[1,7,3,4,2,6,5]
[1,3,7,4,6,5,2]=>[7,6,1,3,4,5,2]
[1,3,7,5,2,4,6]=>[3,1,7,2,5,4,6]
[1,3,7,5,2,6,4]=>[7,3,5,1,6,2,4]
[1,3,7,5,4,2,6]=>[5,7,3,1,4,2,6]
[1,3,7,5,4,6,2]=>[5,7,3,1,4,6,2]
[1,3,7,5,6,2,4]=>[1,7,3,2,5,6,4]
[1,3,7,5,6,4,2]=>[7,5,1,3,6,4,2]
[1,3,7,6,2,4,5]=>[3,1,7,2,4,6,5]
[1,3,7,6,2,5,4]=>[7,3,6,1,2,5,4]
[1,3,7,6,4,2,5]=>[3,7,6,1,4,2,5]
[1,3,7,6,4,5,2]=>[7,1,6,3,4,5,2]
[1,3,7,6,5,2,4]=>[3,7,6,1,2,5,4]
[1,3,7,6,5,4,2]=>[7,6,5,3,1,4,2]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[1,4,2,3,5,7,6]=>[7,1,4,2,3,5,6]
[1,4,2,3,6,5,7]=>[6,1,4,2,3,5,7]
[1,4,2,3,6,7,5]=>[6,1,4,2,3,7,5]
[1,4,2,3,7,5,6]=>[1,7,4,2,3,5,6]
[1,4,2,3,7,6,5]=>[7,6,1,4,2,3,5]
[1,4,2,5,3,6,7]=>[4,5,1,2,3,6,7]
[1,4,2,5,3,7,6]=>[7,4,5,1,2,3,6]
[1,4,2,5,6,3,7]=>[4,5,1,2,6,3,7]
[1,4,2,5,6,7,3]=>[4,5,1,2,6,7,3]
[1,4,2,5,7,3,6]=>[4,5,1,2,3,7,6]
[1,4,2,5,7,6,3]=>[7,4,5,1,2,6,3]
[1,4,2,6,3,5,7]=>[4,1,6,2,3,5,7]
[1,4,2,6,3,7,5]=>[6,4,7,1,2,3,5]
[1,4,2,6,5,3,7]=>[6,4,5,1,2,3,7]
[1,4,2,6,5,7,3]=>[6,4,5,1,2,7,3]
[1,4,2,6,7,3,5]=>[4,1,6,2,3,7,5]
[1,4,2,6,7,5,3]=>[6,4,7,1,2,5,3]
[1,4,2,7,3,5,6]=>[4,1,2,7,3,5,6]
[1,4,2,7,3,6,5]=>[7,4,1,6,2,3,5]
[1,4,2,7,5,3,6]=>[4,7,5,1,2,3,6]
[1,4,2,7,5,6,3]=>[4,7,5,1,2,6,3]
[1,4,2,7,6,3,5]=>[4,7,1,6,2,3,5]
[1,4,2,7,6,5,3]=>[7,6,4,5,1,2,3]
[1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]
[1,4,3,2,5,7,6]=>[7,4,3,1,2,5,6]
[1,4,3,2,6,5,7]=>[6,4,3,1,2,5,7]
[1,4,3,2,6,7,5]=>[6,4,3,1,2,7,5]
[1,4,3,2,7,5,6]=>[4,7,3,1,2,5,6]
[1,4,3,2,7,6,5]=>[7,6,4,3,1,2,5]
[1,4,3,5,2,6,7]=>[4,3,1,5,2,6,7]
[1,4,3,5,2,7,6]=>[7,4,3,1,5,2,6]
[1,4,3,5,6,2,7]=>[4,3,1,5,6,2,7]
[1,4,3,5,6,7,2]=>[4,3,1,5,6,7,2]
[1,4,3,5,7,2,6]=>[4,3,1,5,2,7,6]
[1,4,3,5,7,6,2]=>[7,4,3,1,5,6,2]
[1,4,3,6,2,5,7]=>[4,3,1,2,6,5,7]
[1,4,3,6,2,7,5]=>[6,4,3,1,7,2,5]
[1,4,3,6,5,2,7]=>[6,4,3,1,5,2,7]
[1,4,3,6,5,7,2]=>[6,4,3,1,5,7,2]
[1,4,3,6,7,2,5]=>[4,3,1,2,6,7,5]
[1,4,3,6,7,5,2]=>[6,4,3,1,7,5,2]
[1,4,3,7,2,5,6]=>[4,3,1,2,5,7,6]
[1,4,3,7,2,6,5]=>[7,4,3,1,2,6,5]
[1,4,3,7,5,2,6]=>[4,7,3,1,5,2,6]
[1,4,3,7,5,6,2]=>[4,7,3,1,5,6,2]
[1,4,3,7,6,2,5]=>[4,7,3,1,2,6,5]
[1,4,3,7,6,5,2]=>[7,6,4,3,1,5,2]
[1,4,5,2,3,6,7]=>[1,4,2,5,3,6,7]
[1,4,5,2,3,7,6]=>[7,1,4,2,5,3,6]
[1,4,5,2,6,3,7]=>[4,5,1,6,2,3,7]
[1,4,5,2,6,7,3]=>[4,5,1,6,2,7,3]
[1,4,5,2,7,3,6]=>[4,5,1,2,7,3,6]
[1,4,5,2,7,6,3]=>[7,4,5,1,6,2,3]
[1,4,5,3,2,6,7]=>[4,5,1,3,2,6,7]
[1,4,5,3,2,7,6]=>[7,4,5,1,3,2,6]
[1,4,5,3,6,2,7]=>[4,5,1,3,6,2,7]
[1,4,5,3,6,7,2]=>[4,5,1,3,6,7,2]
[1,4,5,3,7,2,6]=>[4,5,1,3,2,7,6]
[1,4,5,3,7,6,2]=>[7,4,5,1,3,6,2]
[1,4,5,6,2,3,7]=>[1,4,2,5,6,3,7]
[1,4,5,6,2,7,3]=>[4,5,1,6,7,2,3]
[1,4,5,6,3,2,7]=>[4,5,1,6,3,2,7]
[1,4,5,6,3,7,2]=>[4,5,1,6,3,7,2]
[1,4,5,6,7,2,3]=>[1,4,2,5,6,7,3]
[1,4,5,6,7,3,2]=>[4,5,1,6,7,3,2]
[1,4,5,7,2,3,6]=>[1,4,2,5,3,7,6]
[1,4,5,7,2,6,3]=>[4,5,1,7,2,6,3]
[1,4,5,7,3,2,6]=>[4,5,1,3,7,2,6]
[1,4,5,7,3,6,2]=>[4,5,1,3,7,6,2]
[1,4,5,7,6,2,3]=>[1,7,4,2,5,6,3]
[1,4,5,7,6,3,2]=>[7,4,5,1,6,3,2]
[1,4,6,2,3,5,7]=>[1,4,2,3,6,5,7]
[1,4,6,2,3,7,5]=>[6,1,4,2,7,3,5]
[1,4,6,2,5,3,7]=>[4,6,1,2,5,3,7]
[1,4,6,2,5,7,3]=>[4,6,1,2,5,7,3]
[1,4,6,2,7,3,5]=>[4,1,6,2,7,3,5]
[1,4,6,2,7,5,3]=>[6,4,7,1,5,2,3]
[1,4,6,3,2,5,7]=>[4,1,6,3,2,5,7]
[1,4,6,3,2,7,5]=>[6,4,7,1,3,2,5]
[1,4,6,3,5,2,7]=>[4,3,1,6,5,2,7]
[1,4,6,3,5,7,2]=>[4,3,1,6,5,7,2]
[1,4,6,3,7,2,5]=>[4,1,6,3,2,7,5]
[1,4,6,3,7,5,2]=>[6,4,7,1,3,5,2]
[1,4,6,5,2,3,7]=>[1,6,4,2,5,3,7]
[1,4,6,5,2,7,3]=>[6,4,5,1,7,2,3]
[1,4,6,5,3,2,7]=>[6,4,5,1,3,2,7]
[1,4,6,5,3,7,2]=>[6,4,5,1,3,7,2]
[1,4,6,5,7,2,3]=>[1,6,4,2,5,7,3]
[1,4,6,5,7,3,2]=>[6,4,5,1,7,3,2]
[1,4,6,7,2,3,5]=>[1,4,2,3,6,7,5]
[1,4,6,7,2,5,3]=>[4,6,1,2,7,5,3]
[1,4,6,7,3,2,5]=>[4,1,6,3,7,2,5]
[1,4,6,7,3,5,2]=>[4,3,1,6,7,5,2]
[1,4,6,7,5,2,3]=>[1,6,4,2,7,5,3]
[1,4,6,7,5,3,2]=>[6,4,7,1,5,3,2]
[1,4,7,2,3,5,6]=>[1,4,2,3,5,7,6]
[1,4,7,2,3,6,5]=>[7,1,4,2,3,6,5]
[1,4,7,2,5,3,6]=>[4,1,7,2,5,3,6]
[1,4,7,2,5,6,3]=>[4,5,1,2,7,6,3]
[1,4,7,2,6,3,5]=>[4,1,7,2,3,6,5]
[1,4,7,2,6,5,3]=>[7,4,6,1,2,5,3]
[1,4,7,3,2,5,6]=>[4,1,3,7,2,5,6]
[1,4,7,3,2,6,5]=>[7,4,1,6,3,2,5]
[1,4,7,3,5,2,6]=>[4,3,1,5,7,2,6]
[1,4,7,3,5,6,2]=>[4,3,1,5,7,6,2]
[1,4,7,3,6,2,5]=>[4,3,1,2,7,6,5]
[1,4,7,3,6,5,2]=>[7,4,3,1,6,5,2]
[1,4,7,5,2,3,6]=>[1,4,7,2,5,3,6]
[1,4,7,5,2,6,3]=>[4,7,5,1,6,2,3]
[1,4,7,5,3,2,6]=>[4,7,5,1,3,2,6]
[1,4,7,5,3,6,2]=>[4,7,5,1,3,6,2]
[1,4,7,5,6,2,3]=>[1,7,2,4,5,6,3]
[1,4,7,5,6,3,2]=>[7,4,1,5,6,3,2]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,6,5]
[1,4,7,6,2,5,3]=>[4,7,6,1,2,5,3]
[1,4,7,6,3,2,5]=>[4,7,1,6,3,2,5]
[1,4,7,6,3,5,2]=>[4,7,3,1,6,5,2]
[1,4,7,6,5,2,3]=>[1,7,6,4,2,5,3]
[1,4,7,6,5,3,2]=>[7,6,4,5,1,3,2]
[1,5,2,3,4,6,7]=>[1,2,5,3,4,6,7]
[1,5,2,3,4,7,6]=>[7,1,2,5,3,4,6]
[1,5,2,3,6,4,7]=>[5,1,6,2,3,4,7]
[1,5,2,3,6,7,4]=>[5,1,6,2,3,7,4]
[1,5,2,3,7,4,6]=>[5,1,2,7,3,4,6]
[1,5,2,3,7,6,4]=>[7,5,1,6,2,3,4]
[1,5,2,4,3,6,7]=>[5,1,4,2,3,6,7]
[1,5,2,4,3,7,6]=>[7,5,1,4,2,3,6]
[1,5,2,4,6,3,7]=>[5,1,4,2,6,3,7]
[1,5,2,4,6,7,3]=>[5,1,4,2,6,7,3]
[1,5,2,4,7,3,6]=>[5,1,4,2,3,7,6]
[1,5,2,4,7,6,3]=>[7,5,1,4,2,6,3]
[1,5,2,6,3,4,7]=>[1,5,6,2,3,4,7]
[1,5,2,6,3,7,4]=>[5,6,7,1,2,3,4]
[1,5,2,6,4,3,7]=>[5,6,4,1,2,3,7]
[1,5,2,6,4,7,3]=>[5,6,4,1,2,7,3]
[1,5,2,6,7,3,4]=>[1,5,6,2,3,7,4]
[1,5,2,6,7,4,3]=>[5,6,7,1,2,4,3]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]
[1,5,2,7,3,6,4]=>[5,7,1,6,2,3,4]
[1,5,2,7,4,3,6]=>[5,4,7,1,2,3,6]
[1,5,2,7,4,6,3]=>[5,7,1,4,2,6,3]
[1,5,2,7,6,3,4]=>[1,7,5,6,2,3,4]
[1,5,2,7,6,4,3]=>[7,5,6,4,1,2,3]
[1,5,3,2,4,6,7]=>[3,5,1,2,4,6,7]
[1,5,3,2,4,7,6]=>[7,3,5,1,2,4,6]
[1,5,3,2,6,4,7]=>[5,6,3,1,2,4,7]
[1,5,3,2,6,7,4]=>[5,6,3,1,2,7,4]
[1,5,3,2,7,4,6]=>[5,3,7,1,2,4,6]
[1,5,3,2,7,6,4]=>[7,5,6,3,1,2,4]
[1,5,3,4,2,6,7]=>[5,1,3,4,2,6,7]
[1,5,3,4,2,7,6]=>[7,5,1,3,4,2,6]
[1,5,3,4,6,2,7]=>[5,1,3,4,6,2,7]
[1,5,3,4,6,7,2]=>[5,1,3,4,6,7,2]
[1,5,3,4,7,2,6]=>[5,1,3,4,2,7,6]
[1,5,3,4,7,6,2]=>[7,5,1,3,4,6,2]
[1,5,3,6,2,4,7]=>[3,5,1,2,6,4,7]
[1,5,3,6,2,7,4]=>[5,6,3,1,7,2,4]
[1,5,3,6,4,2,7]=>[5,6,3,1,4,2,7]
[1,5,3,6,4,7,2]=>[5,6,3,1,4,7,2]
[1,5,3,6,7,2,4]=>[3,5,1,2,6,7,4]
[1,5,3,6,7,4,2]=>[5,6,3,1,7,4,2]
[1,5,3,7,2,4,6]=>[3,5,1,2,4,7,6]
[1,5,3,7,2,6,4]=>[5,7,3,1,2,6,4]
[1,5,3,7,4,2,6]=>[5,3,7,1,4,2,6]
[1,5,3,7,4,6,2]=>[5,7,1,3,4,6,2]
[1,5,3,7,6,2,4]=>[3,7,5,1,2,6,4]
[1,5,3,7,6,4,2]=>[7,5,6,3,1,4,2]
[1,5,4,2,3,6,7]=>[1,5,4,2,3,6,7]
[1,5,4,2,3,7,6]=>[7,1,5,4,2,3,6]
[1,5,4,2,6,3,7]=>[5,4,6,1,2,3,7]
[1,5,4,2,6,7,3]=>[5,4,6,1,2,7,3]
[1,5,4,2,7,3,6]=>[5,4,1,7,2,3,6]
[1,5,4,2,7,6,3]=>[7,5,4,6,1,2,3]
[1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]
[1,5,4,3,2,7,6]=>[7,5,4,3,1,2,6]
[1,5,4,3,6,2,7]=>[5,4,3,1,6,2,7]
[1,5,4,3,6,7,2]=>[5,4,3,1,6,7,2]
[1,5,4,3,7,2,6]=>[5,4,3,1,2,7,6]
[1,5,4,3,7,6,2]=>[7,5,4,3,1,6,2]
[1,5,4,6,2,3,7]=>[1,5,4,2,6,3,7]
[1,5,4,6,2,7,3]=>[5,4,6,1,7,2,3]
[1,5,4,6,3,2,7]=>[5,4,6,1,3,2,7]
[1,5,4,6,3,7,2]=>[5,4,6,1,3,7,2]
[1,5,4,6,7,2,3]=>[1,5,4,2,6,7,3]
[1,5,4,6,7,3,2]=>[5,4,6,1,7,3,2]
[1,5,4,7,2,3,6]=>[1,5,4,2,3,7,6]
[1,5,4,7,2,6,3]=>[5,4,7,1,2,6,3]
[1,5,4,7,3,2,6]=>[5,4,1,7,3,2,6]
[1,5,4,7,3,6,2]=>[5,4,3,1,7,6,2]
[1,5,4,7,6,2,3]=>[1,7,5,4,2,6,3]
[1,5,4,7,6,3,2]=>[7,5,4,6,1,3,2]
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]
[1,5,6,2,3,7,4]=>[5,1,6,2,7,3,4]
[1,5,6,2,4,3,7]=>[5,1,6,2,4,3,7]
[1,5,6,2,4,7,3]=>[5,1,6,2,4,7,3]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]
[1,5,6,2,7,4,3]=>[5,6,7,1,4,2,3]
[1,5,6,3,2,4,7]=>[1,5,6,3,2,4,7]
[1,5,6,3,2,7,4]=>[5,6,7,1,3,2,4]
[1,5,6,3,4,2,7]=>[5,1,3,6,4,2,7]
[1,5,6,3,4,7,2]=>[5,1,3,6,4,7,2]
[1,5,6,3,7,2,4]=>[1,5,6,3,2,7,4]
[1,5,6,3,7,4,2]=>[5,6,7,1,3,4,2]
[1,5,6,4,2,3,7]=>[1,5,6,2,4,3,7]
[1,5,6,4,2,7,3]=>[5,6,4,1,7,2,3]
[1,5,6,4,3,2,7]=>[5,6,4,1,3,2,7]
[1,5,6,4,3,7,2]=>[5,6,4,1,3,7,2]
[1,5,6,4,7,2,3]=>[1,5,6,2,4,7,3]
[1,5,6,4,7,3,2]=>[5,6,4,1,7,3,2]
[1,5,6,7,2,3,4]=>[1,2,5,3,6,7,4]
[1,5,6,7,2,4,3]=>[5,1,6,2,7,4,3]
[1,5,6,7,3,2,4]=>[1,5,6,3,7,2,4]
[1,5,6,7,3,4,2]=>[5,1,3,6,7,4,2]
[1,5,6,7,4,2,3]=>[1,5,6,2,7,4,3]
[1,5,6,7,4,3,2]=>[5,6,7,1,4,3,2]
[1,5,7,2,3,4,6]=>[1,2,5,3,4,7,6]
[1,5,7,2,3,6,4]=>[5,1,7,2,3,6,4]
[1,5,7,2,4,3,6]=>[5,1,2,7,4,3,6]
[1,5,7,2,4,6,3]=>[5,1,4,2,7,6,3]
[1,5,7,2,6,3,4]=>[1,5,7,2,3,6,4]
[1,5,7,2,6,4,3]=>[5,7,6,1,2,4,3]
[1,5,7,3,2,4,6]=>[1,5,3,7,2,4,6]
[1,5,7,3,2,6,4]=>[5,7,1,6,3,2,4]
[1,5,7,3,4,2,6]=>[5,1,3,4,7,2,6]
[1,5,7,3,4,6,2]=>[5,1,3,4,7,6,2]
[1,5,7,3,6,2,4]=>[3,5,1,2,7,6,4]
[1,5,7,3,6,4,2]=>[5,7,3,1,6,4,2]
[1,5,7,4,2,3,6]=>[1,5,2,7,4,3,6]
[1,5,7,4,2,6,3]=>[5,7,1,4,6,2,3]
[1,5,7,4,3,2,6]=>[5,4,7,1,3,2,6]
[1,5,7,4,3,6,2]=>[5,7,1,4,3,6,2]
[1,5,7,4,6,2,3]=>[1,5,4,2,7,6,3]
[1,5,7,4,6,3,2]=>[5,4,7,1,6,3,2]
[1,5,7,6,2,3,4]=>[1,2,7,5,3,6,4]
[1,5,7,6,2,4,3]=>[7,1,5,6,2,4,3]
[1,5,7,6,3,2,4]=>[1,7,5,6,3,2,4]
[1,5,7,6,3,4,2]=>[7,1,5,3,6,4,2]
[1,5,7,6,4,2,3]=>[1,7,5,6,2,4,3]
[1,5,7,6,4,3,2]=>[7,5,6,4,1,3,2]
[1,6,2,3,4,5,7]=>[1,2,3,6,4,5,7]
[1,6,2,3,4,7,5]=>[6,1,2,7,3,4,5]
[1,6,2,3,5,4,7]=>[6,1,2,5,3,4,7]
[1,6,2,3,5,7,4]=>[6,1,2,5,3,7,4]
[1,6,2,3,7,4,5]=>[1,6,2,7,3,4,5]
[1,6,2,3,7,5,4]=>[6,7,1,5,2,3,4]
[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]
[1,6,2,4,3,7,5]=>[6,7,1,4,2,3,5]
[1,6,2,4,5,3,7]=>[6,1,2,4,5,3,7]
[1,6,2,4,5,7,3]=>[6,1,2,4,5,7,3]
[1,6,2,4,7,3,5]=>[1,6,4,2,3,7,5]
[1,6,2,4,7,5,3]=>[6,7,1,4,2,5,3]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]
[1,6,2,5,3,7,4]=>[6,5,1,7,2,3,4]
[1,6,2,5,4,3,7]=>[6,5,1,4,2,3,7]
[1,6,2,5,4,7,3]=>[6,5,1,4,2,7,3]
[1,6,2,5,7,3,4]=>[1,6,2,5,3,7,4]
[1,6,2,5,7,4,3]=>[6,5,1,7,2,4,3]
[1,6,2,7,3,4,5]=>[1,2,6,7,3,4,5]
[1,6,2,7,3,5,4]=>[6,1,7,5,2,3,4]
[1,6,2,7,4,3,5]=>[4,6,7,1,2,3,5]
[1,6,2,7,4,5,3]=>[6,1,7,4,2,5,3]
[1,6,2,7,5,3,4]=>[1,6,7,5,2,3,4]
[1,6,2,7,5,4,3]=>[6,7,5,4,1,2,3]
[1,6,3,2,4,5,7]=>[3,1,6,2,4,5,7]
[1,6,3,2,4,7,5]=>[6,3,7,1,2,4,5]
[1,6,3,2,5,4,7]=>[6,3,5,1,2,4,7]
[1,6,3,2,5,7,4]=>[6,3,5,1,2,7,4]
[1,6,3,2,7,4,5]=>[3,6,7,1,2,4,5]
[1,6,3,2,7,5,4]=>[6,7,5,3,1,2,4]
[1,6,3,4,2,5,7]=>[1,6,3,4,2,5,7]
[1,6,3,4,2,7,5]=>[6,7,1,3,4,2,5]
[1,6,3,4,5,2,7]=>[3,1,6,4,5,2,7]
[1,6,3,4,5,7,2]=>[3,1,6,4,5,7,2]
[1,6,3,4,7,2,5]=>[1,6,3,4,2,7,5]
[1,6,3,4,7,5,2]=>[6,7,1,3,4,5,2]
[1,6,3,5,2,4,7]=>[1,6,3,2,5,4,7]
[1,6,3,5,2,7,4]=>[6,5,1,3,7,2,4]
[1,6,3,5,4,2,7]=>[6,5,1,3,4,2,7]
[1,6,3,5,4,7,2]=>[6,5,1,3,4,7,2]
[1,6,3,5,7,2,4]=>[1,6,3,2,5,7,4]
[1,6,3,5,7,4,2]=>[6,5,1,3,7,4,2]
[1,6,3,7,2,4,5]=>[3,1,6,2,4,7,5]
[1,6,3,7,2,5,4]=>[6,3,7,1,2,5,4]
[1,6,3,7,4,2,5]=>[3,6,7,1,4,2,5]
[1,6,3,7,4,5,2]=>[6,1,7,3,4,5,2]
[1,6,3,7,5,2,4]=>[3,6,7,1,2,5,4]
[1,6,3,7,5,4,2]=>[6,7,5,3,1,4,2]
[1,6,4,2,3,5,7]=>[1,4,6,2,3,5,7]
[1,6,4,2,3,7,5]=>[6,1,7,4,2,3,5]
[1,6,4,2,5,3,7]=>[4,6,5,1,2,3,7]
[1,6,4,2,5,7,3]=>[4,6,5,1,2,7,3]
[1,6,4,2,7,3,5]=>[4,6,1,7,2,3,5]
[1,6,4,2,7,5,3]=>[6,7,4,5,1,2,3]
[1,6,4,3,2,5,7]=>[4,6,3,1,2,5,7]
[1,6,4,3,2,7,5]=>[6,7,4,3,1,2,5]
[1,6,4,3,5,2,7]=>[4,6,3,1,5,2,7]
[1,6,4,3,5,7,2]=>[4,6,3,1,5,7,2]
[1,6,4,3,7,2,5]=>[4,6,3,1,2,7,5]
[1,6,4,3,7,5,2]=>[6,7,4,3,1,5,2]
[1,6,4,5,2,3,7]=>[1,6,2,4,5,3,7]
[1,6,4,5,2,7,3]=>[6,4,1,5,7,2,3]
[1,6,4,5,3,2,7]=>[6,4,1,5,3,2,7]
[1,6,4,5,3,7,2]=>[6,4,1,5,3,7,2]
[1,6,4,5,7,2,3]=>[1,6,2,4,5,7,3]
[1,6,4,5,7,3,2]=>[6,4,1,5,7,3,2]
[1,6,4,7,2,3,5]=>[1,4,6,2,3,7,5]
[1,6,4,7,2,5,3]=>[4,6,7,1,2,5,3]
[1,6,4,7,3,2,5]=>[4,6,1,7,3,2,5]
[1,6,4,7,3,5,2]=>[4,6,3,1,7,5,2]
[1,6,4,7,5,2,3]=>[1,6,7,4,2,5,3]
[1,6,4,7,5,3,2]=>[6,7,4,5,1,3,2]
[1,6,5,2,3,4,7]=>[1,2,6,5,3,4,7]
[1,6,5,2,3,7,4]=>[6,1,5,7,2,3,4]
[1,6,5,2,4,3,7]=>[6,1,5,4,2,3,7]
[1,6,5,2,4,7,3]=>[6,1,5,4,2,7,3]
[1,6,5,2,7,3,4]=>[1,6,5,7,2,3,4]
[1,6,5,2,7,4,3]=>[6,5,7,4,1,2,3]
[1,6,5,3,2,4,7]=>[3,6,5,1,2,4,7]
[1,6,5,3,2,7,4]=>[6,5,7,3,1,2,4]
[1,6,5,3,4,2,7]=>[6,1,5,3,4,2,7]
[1,6,5,3,4,7,2]=>[6,1,5,3,4,7,2]
[1,6,5,3,7,2,4]=>[3,6,5,1,2,7,4]
[1,6,5,3,7,4,2]=>[6,5,7,3,1,4,2]
[1,6,5,4,2,3,7]=>[1,6,5,4,2,3,7]
[1,6,5,4,2,7,3]=>[6,5,4,7,1,2,3]
[1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]
[1,6,5,4,3,7,2]=>[6,5,4,3,1,7,2]
[1,6,5,4,7,2,3]=>[1,6,5,4,2,7,3]
[1,6,5,4,7,3,2]=>[6,5,4,7,1,3,2]
[1,6,5,7,2,3,4]=>[1,2,6,5,3,7,4]
[1,6,5,7,2,4,3]=>[6,1,5,7,2,4,3]
[1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]
[1,6,5,7,3,4,2]=>[6,1,5,3,7,4,2]
[1,6,5,7,4,2,3]=>[1,6,5,7,2,4,3]
[1,6,5,7,4,3,2]=>[6,5,7,4,1,3,2]
[1,6,7,2,3,4,5]=>[1,2,3,6,4,7,5]
[1,6,7,2,3,5,4]=>[6,1,2,7,3,5,4]
[1,6,7,2,4,3,5]=>[1,6,2,7,4,3,5]
[1,6,7,2,4,5,3]=>[6,1,2,4,7,5,3]
[1,6,7,2,5,3,4]=>[1,6,2,7,3,5,4]
[1,6,7,2,5,4,3]=>[6,7,1,5,2,4,3]
[1,6,7,3,2,4,5]=>[1,3,6,7,2,4,5]
[1,6,7,3,2,5,4]=>[6,1,7,5,3,2,4]
[1,6,7,3,4,2,5]=>[1,6,3,4,7,2,5]
[1,6,7,3,4,5,2]=>[3,1,6,4,7,5,2]
[1,6,7,3,5,2,4]=>[1,6,3,2,7,5,4]
[1,6,7,3,5,4,2]=>[6,7,1,3,5,4,2]
[1,6,7,4,2,3,5]=>[1,2,6,7,4,3,5]
[1,6,7,4,2,5,3]=>[6,1,7,4,5,2,3]
[1,6,7,4,3,2,5]=>[4,6,7,1,3,2,5]
[1,6,7,4,3,5,2]=>[6,1,7,4,3,5,2]
[1,6,7,4,5,2,3]=>[1,6,2,4,7,5,3]
[1,6,7,4,5,3,2]=>[6,4,1,7,5,3,2]
[1,6,7,5,2,3,4]=>[1,2,6,7,3,5,4]
[1,6,7,5,2,4,3]=>[6,1,7,5,2,4,3]
[1,6,7,5,3,2,4]=>[1,6,7,5,3,2,4]
[1,6,7,5,3,4,2]=>[6,1,7,3,5,4,2]
[1,6,7,5,4,2,3]=>[1,6,7,5,2,4,3]
[1,6,7,5,4,3,2]=>[6,7,5,4,1,3,2]
[1,7,2,3,4,5,6]=>[1,2,3,4,7,5,6]
[1,7,2,3,4,6,5]=>[7,1,2,3,6,4,5]
[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]
[1,7,2,3,5,6,4]=>[7,1,2,3,5,6,4]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]
[1,7,2,3,6,5,4]=>[7,6,1,2,5,3,4]
[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]
[1,7,2,4,3,6,5]=>[7,1,6,4,2,3,5]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]
[1,7,2,4,5,6,3]=>[4,1,2,7,5,6,3]
[1,7,2,4,6,3,5]=>[1,7,2,4,3,6,5]
[1,7,2,4,6,5,3]=>[7,6,1,2,4,5,3]
[1,7,2,5,3,4,6]=>[1,2,7,5,3,4,6]
[1,7,2,5,3,6,4]=>[7,1,5,6,2,3,4]
[1,7,2,5,4,3,6]=>[5,7,1,4,2,3,6]
[1,7,2,5,4,6,3]=>[7,1,5,4,2,6,3]
[1,7,2,5,6,3,4]=>[1,7,2,3,5,6,4]
[1,7,2,5,6,4,3]=>[7,5,1,2,6,4,3]
[1,7,2,6,3,4,5]=>[1,2,7,3,6,4,5]
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]
[1,7,2,6,4,3,5]=>[1,7,6,4,2,3,5]
[1,7,2,6,4,5,3]=>[7,1,6,2,4,5,3]
[1,7,2,6,5,3,4]=>[1,7,6,2,5,3,4]
[1,7,2,6,5,4,3]=>[7,6,5,1,4,2,3]
[1,7,3,2,4,5,6]=>[3,1,2,7,4,5,6]
[1,7,3,2,4,6,5]=>[7,3,1,6,2,4,5]
[1,7,3,2,5,4,6]=>[3,7,5,1,2,4,6]
[1,7,3,2,5,6,4]=>[7,3,1,5,2,6,4]
[1,7,3,2,6,4,5]=>[3,7,1,6,2,4,5]
[1,7,3,2,6,5,4]=>[7,6,3,5,1,2,4]
[1,7,3,4,2,5,6]=>[1,3,7,4,2,5,6]
[1,7,3,4,2,6,5]=>[7,1,6,3,4,2,5]
[1,7,3,4,5,2,6]=>[3,1,4,7,5,2,6]
[1,7,3,4,5,6,2]=>[3,1,4,7,5,6,2]
[1,7,3,4,6,2,5]=>[3,1,4,7,2,6,5]
[1,7,3,4,6,5,2]=>[7,3,1,6,4,5,2]
[1,7,3,5,2,4,6]=>[1,3,7,2,5,4,6]
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]
[1,7,3,5,4,2,6]=>[5,7,1,3,4,2,6]
[1,7,3,5,4,6,2]=>[7,1,5,3,4,6,2]
[1,7,3,5,6,2,4]=>[3,1,2,7,5,6,4]
[1,7,3,5,6,4,2]=>[7,3,1,5,6,4,2]
[1,7,3,6,2,4,5]=>[1,3,7,2,4,6,5]
[1,7,3,6,2,5,4]=>[7,1,6,3,2,5,4]
[1,7,3,6,4,2,5]=>[1,7,6,3,4,2,5]
[1,7,3,6,4,5,2]=>[7,1,3,6,4,5,2]
[1,7,3,6,5,2,4]=>[1,7,6,3,2,5,4]
[1,7,3,6,5,4,2]=>[7,6,5,1,3,4,2]
[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]
[1,7,4,2,3,6,5]=>[7,1,4,6,2,3,5]
[1,7,4,2,5,3,6]=>[4,5,7,1,2,3,6]
[1,7,4,2,5,6,3]=>[4,7,1,5,2,6,3]
[1,7,4,2,6,3,5]=>[4,1,7,6,2,3,5]
[1,7,4,2,6,5,3]=>[7,4,6,5,1,2,3]
[1,7,4,3,2,5,6]=>[4,3,7,1,2,5,6]
[1,7,4,3,2,6,5]=>[7,4,6,3,1,2,5]
[1,7,4,3,5,2,6]=>[4,3,7,1,5,2,6]
[1,7,4,3,5,6,2]=>[4,7,1,3,5,6,2]
[1,7,4,3,6,2,5]=>[4,3,7,1,2,6,5]
[1,7,4,3,6,5,2]=>[7,4,6,3,1,5,2]
[1,7,4,5,2,3,6]=>[1,2,7,4,5,3,6]
[1,7,4,5,2,6,3]=>[7,1,4,5,6,2,3]
[1,7,4,5,3,2,6]=>[4,7,1,5,3,2,6]
[1,7,4,5,3,6,2]=>[7,1,4,5,3,6,2]
[1,7,4,5,6,2,3]=>[1,4,2,7,5,6,3]
[1,7,4,5,6,3,2]=>[4,7,1,5,6,3,2]
[1,7,4,6,2,3,5]=>[1,2,7,4,3,6,5]
[1,7,4,6,2,5,3]=>[7,1,4,6,2,5,3]
[1,7,4,6,3,2,5]=>[4,7,1,3,6,2,5]
[1,7,4,6,3,5,2]=>[7,1,4,3,6,5,2]
[1,7,4,6,5,2,3]=>[1,7,6,2,4,5,3]
[1,7,4,6,5,3,2]=>[7,6,4,1,5,3,2]
[1,7,5,2,3,4,6]=>[1,2,5,7,3,4,6]
[1,7,5,2,3,6,4]=>[5,1,7,6,2,3,4]
[1,7,5,2,4,3,6]=>[1,7,5,4,2,3,6]
[1,7,5,2,4,6,3]=>[5,1,7,4,2,6,3]
[1,7,5,2,6,3,4]=>[1,5,7,6,2,3,4]
[1,7,5,2,6,4,3]=>[5,7,6,4,1,2,3]
[1,7,5,3,2,4,6]=>[3,5,7,1,2,4,6]
[1,7,5,3,2,6,4]=>[5,7,6,3,1,2,4]
[1,7,5,3,4,2,6]=>[1,7,5,3,4,2,6]
[1,7,5,3,4,6,2]=>[5,1,7,3,4,6,2]
[1,7,5,3,6,2,4]=>[3,5,7,1,2,6,4]
[1,7,5,3,6,4,2]=>[5,7,6,3,1,4,2]
[1,7,5,4,2,3,6]=>[1,5,7,4,2,3,6]
[1,7,5,4,2,6,3]=>[5,7,4,6,1,2,3]
[1,7,5,4,3,2,6]=>[5,7,4,3,1,2,6]
[1,7,5,4,3,6,2]=>[5,7,4,3,1,6,2]
[1,7,5,4,6,2,3]=>[1,5,7,4,2,6,3]
[1,7,5,4,6,3,2]=>[5,7,4,6,1,3,2]
[1,7,5,6,2,3,4]=>[1,2,7,3,5,6,4]
[1,7,5,6,2,4,3]=>[7,1,5,2,6,4,3]
[1,7,5,6,3,2,4]=>[1,7,5,3,6,2,4]
[1,7,5,6,3,4,2]=>[7,1,3,5,6,4,2]
[1,7,5,6,4,2,3]=>[1,7,5,2,6,4,3]
[1,7,5,6,4,3,2]=>[7,5,6,1,4,3,2]
[1,7,6,2,3,4,5]=>[1,2,3,7,6,4,5]
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]
[1,7,6,2,4,3,5]=>[1,7,4,6,2,3,5]
[1,7,6,2,4,5,3]=>[7,1,2,6,4,5,3]
[1,7,6,2,5,3,4]=>[1,7,2,6,5,3,4]
[1,7,6,2,5,4,3]=>[7,6,1,5,4,2,3]
[1,7,6,3,2,4,5]=>[3,1,7,6,2,4,5]
[1,7,6,3,2,5,4]=>[7,3,6,5,1,2,4]
[1,7,6,3,4,2,5]=>[1,7,3,6,4,2,5]
[1,7,6,3,4,5,2]=>[3,1,7,6,4,5,2]
[1,7,6,3,5,2,4]=>[1,7,3,6,2,5,4]
[1,7,6,3,5,4,2]=>[7,6,1,5,3,4,2]
[1,7,6,4,2,3,5]=>[1,4,7,6,2,3,5]
[1,7,6,4,2,5,3]=>[4,7,6,5,1,2,3]
[1,7,6,4,3,2,5]=>[4,7,6,3,1,2,5]
[1,7,6,4,3,5,2]=>[4,7,6,3,1,5,2]
[1,7,6,4,5,2,3]=>[1,7,2,6,4,5,3]
[1,7,6,4,5,3,2]=>[7,6,1,4,5,3,2]
[1,7,6,5,2,3,4]=>[1,2,7,6,5,3,4]
[1,7,6,5,2,4,3]=>[7,1,6,5,4,2,3]
[1,7,6,5,3,2,4]=>[3,7,6,5,1,2,4]
[1,7,6,5,3,4,2]=>[7,1,6,5,3,4,2]
[1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]
[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[2,1,3,4,5,7,6]=>[7,2,1,3,4,5,6]
[2,1,3,4,6,5,7]=>[6,2,1,3,4,5,7]
[2,1,3,4,6,7,5]=>[6,2,1,3,4,7,5]
[2,1,3,4,7,5,6]=>[2,7,1,3,4,5,6]
[2,1,3,4,7,6,5]=>[7,6,2,1,3,4,5]
[2,1,3,5,4,6,7]=>[5,2,1,3,4,6,7]
[2,1,3,5,4,7,6]=>[7,5,2,1,3,4,6]
[2,1,3,5,6,4,7]=>[5,2,1,3,6,4,7]
[2,1,3,5,6,7,4]=>[5,2,1,3,6,7,4]
[2,1,3,5,7,4,6]=>[5,2,1,3,4,7,6]
[2,1,3,5,7,6,4]=>[7,5,2,1,3,6,4]
[2,1,3,6,4,5,7]=>[2,6,1,3,4,5,7]
[2,1,3,6,4,7,5]=>[6,7,2,1,3,4,5]
[2,1,3,6,5,4,7]=>[6,5,2,1,3,4,7]
[2,1,3,6,5,7,4]=>[6,5,2,1,3,7,4]
[2,1,3,6,7,4,5]=>[2,6,1,3,4,7,5]
[2,1,3,6,7,5,4]=>[6,7,2,1,3,5,4]
[2,1,3,7,4,5,6]=>[2,1,7,3,4,5,6]
[2,1,3,7,4,6,5]=>[7,2,6,1,3,4,5]
[2,1,3,7,5,4,6]=>[5,7,2,1,3,4,6]
[2,1,3,7,5,6,4]=>[7,2,5,1,3,6,4]
[2,1,3,7,6,4,5]=>[2,7,6,1,3,4,5]
[2,1,3,7,6,5,4]=>[7,6,5,2,1,3,4]
[2,1,4,3,5,6,7]=>[4,2,1,3,5,6,7]
[2,1,4,3,5,7,6]=>[7,4,2,1,3,5,6]
[2,1,4,3,6,5,7]=>[6,4,2,1,3,5,7]
[2,1,4,3,6,7,5]=>[6,4,2,1,3,7,5]
[2,1,4,3,7,5,6]=>[4,7,2,1,3,5,6]
[2,1,4,3,7,6,5]=>[7,6,4,2,1,3,5]
[2,1,4,5,3,6,7]=>[4,2,1,5,3,6,7]
[2,1,4,5,3,7,6]=>[7,4,2,1,5,3,6]
[2,1,4,5,6,3,7]=>[4,2,1,5,6,3,7]
[2,1,4,5,6,7,3]=>[4,2,1,5,6,7,3]
[2,1,4,5,7,3,6]=>[4,2,1,5,3,7,6]
[2,1,4,5,7,6,3]=>[7,4,2,1,5,6,3]
[2,1,4,6,3,5,7]=>[4,2,1,3,6,5,7]
[2,1,4,6,3,7,5]=>[6,4,2,1,7,3,5]
[2,1,4,6,5,3,7]=>[6,4,2,1,5,3,7]
[2,1,4,6,5,7,3]=>[6,4,2,1,5,7,3]
[2,1,4,6,7,3,5]=>[4,2,1,3,6,7,5]
[2,1,4,6,7,5,3]=>[6,4,2,1,7,5,3]
[2,1,4,7,3,5,6]=>[4,2,1,3,5,7,6]
[2,1,4,7,3,6,5]=>[7,4,2,1,3,6,5]
[2,1,4,7,5,3,6]=>[4,7,2,1,5,3,6]
[2,1,4,7,5,6,3]=>[7,2,4,1,5,6,3]
[2,1,4,7,6,3,5]=>[4,7,2,1,3,6,5]
[2,1,4,7,6,5,3]=>[7,6,4,2,1,5,3]
[2,1,5,3,4,6,7]=>[2,5,1,3,4,6,7]
[2,1,5,3,4,7,6]=>[7,2,5,1,3,4,6]
[2,1,5,3,6,4,7]=>[5,6,2,1,3,4,7]
[2,1,5,3,6,7,4]=>[5,6,2,1,3,7,4]
[2,1,5,3,7,4,6]=>[5,2,7,1,3,4,6]
[2,1,5,3,7,6,4]=>[7,5,6,2,1,3,4]
[2,1,5,4,3,6,7]=>[5,4,2,1,3,6,7]
[2,1,5,4,3,7,6]=>[7,5,4,2,1,3,6]
[2,1,5,4,6,3,7]=>[5,4,2,1,6,3,7]
[2,1,5,4,6,7,3]=>[5,4,2,1,6,7,3]
[2,1,5,4,7,3,6]=>[5,4,2,1,3,7,6]
[2,1,5,4,7,6,3]=>[7,5,4,2,1,6,3]
[2,1,5,6,3,4,7]=>[2,5,1,3,6,4,7]
[2,1,5,6,3,7,4]=>[5,6,2,1,7,3,4]
[2,1,5,6,4,3,7]=>[5,6,2,1,4,3,7]
[2,1,5,6,4,7,3]=>[5,6,2,1,4,7,3]
[2,1,5,6,7,3,4]=>[2,5,1,3,6,7,4]
[2,1,5,6,7,4,3]=>[5,6,2,1,7,4,3]
[2,1,5,7,3,4,6]=>[2,5,1,3,4,7,6]
[2,1,5,7,3,6,4]=>[5,7,2,1,3,6,4]
[2,1,5,7,4,3,6]=>[5,2,7,1,4,3,6]
[2,1,5,7,4,6,3]=>[5,4,2,1,7,6,3]
[2,1,5,7,6,3,4]=>[2,7,5,1,3,6,4]
[2,1,5,7,6,4,3]=>[7,5,6,2,1,4,3]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]
[2,1,6,3,4,7,5]=>[6,2,7,1,3,4,5]
[2,1,6,3,5,4,7]=>[6,2,5,1,3,4,7]
[2,1,6,3,5,7,4]=>[6,2,5,1,3,7,4]
[2,1,6,3,7,4,5]=>[2,6,7,1,3,4,5]
[2,1,6,3,7,5,4]=>[6,7,5,2,1,3,4]
[2,1,6,4,3,5,7]=>[4,6,2,1,3,5,7]
[2,1,6,4,3,7,5]=>[6,7,4,2,1,3,5]
[2,1,6,4,5,3,7]=>[6,2,4,1,5,3,7]
[2,1,6,4,5,7,3]=>[6,2,4,1,5,7,3]
[2,1,6,4,7,3,5]=>[4,6,2,1,3,7,5]
[2,1,6,4,7,5,3]=>[6,7,4,2,1,5,3]
[2,1,6,5,3,4,7]=>[2,6,5,1,3,4,7]
[2,1,6,5,3,7,4]=>[6,5,7,2,1,3,4]
[2,1,6,5,4,3,7]=>[6,5,4,2,1,3,7]
[2,1,6,5,4,7,3]=>[6,5,4,2,1,7,3]
[2,1,6,5,7,3,4]=>[2,6,5,1,3,7,4]
[2,1,6,5,7,4,3]=>[6,5,7,2,1,4,3]
[2,1,6,7,3,4,5]=>[2,1,6,3,4,7,5]
[2,1,6,7,3,5,4]=>[6,2,7,1,3,5,4]
[2,1,6,7,4,3,5]=>[2,6,7,1,4,3,5]
[2,1,6,7,4,5,3]=>[6,2,4,1,7,5,3]
[2,1,6,7,5,3,4]=>[2,6,7,1,3,5,4]
[2,1,6,7,5,4,3]=>[6,7,5,2,1,4,3]
[2,1,7,3,4,5,6]=>[2,1,3,7,4,5,6]
[2,1,7,3,4,6,5]=>[7,2,1,6,3,4,5]
[2,1,7,3,5,4,6]=>[2,7,5,1,3,4,6]
[2,1,7,3,5,6,4]=>[7,2,1,5,3,6,4]
[2,1,7,3,6,4,5]=>[2,7,1,6,3,4,5]
[2,1,7,3,6,5,4]=>[7,6,2,5,1,3,4]
[2,1,7,4,3,5,6]=>[4,2,7,1,3,5,6]
[2,1,7,4,3,6,5]=>[7,4,6,2,1,3,5]
[2,1,7,4,5,3,6]=>[2,7,4,1,5,3,6]
[2,1,7,4,5,6,3]=>[7,2,1,4,5,6,3]
[2,1,7,4,6,3,5]=>[2,7,4,1,3,6,5]
[2,1,7,4,6,5,3]=>[7,6,2,4,1,5,3]
[2,1,7,5,3,4,6]=>[2,5,7,1,3,4,6]
[2,1,7,5,3,6,4]=>[5,7,6,2,1,3,4]
[2,1,7,5,4,3,6]=>[5,7,4,2,1,3,6]
[2,1,7,5,4,6,3]=>[5,7,4,2,1,6,3]
[2,1,7,5,6,3,4]=>[2,7,1,5,3,6,4]
[2,1,7,5,6,4,3]=>[7,5,2,6,1,4,3]
[2,1,7,6,3,4,5]=>[2,1,7,6,3,4,5]
[2,1,7,6,3,5,4]=>[7,2,6,5,1,3,4]
[2,1,7,6,4,3,5]=>[4,7,6,2,1,3,5]
[2,1,7,6,4,5,3]=>[7,2,6,4,1,5,3]
[2,1,7,6,5,3,4]=>[2,7,6,5,1,3,4]
[2,1,7,6,5,4,3]=>[7,6,5,4,2,1,3]
[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[2,3,1,4,5,7,6]=>[7,2,3,1,4,5,6]
[2,3,1,4,6,5,7]=>[6,2,3,1,4,5,7]
[2,3,1,4,6,7,5]=>[6,2,3,1,4,7,5]
[2,3,1,4,7,5,6]=>[2,7,3,1,4,5,6]
[2,3,1,4,7,6,5]=>[7,6,2,3,1,4,5]
[2,3,1,5,4,6,7]=>[5,2,3,1,4,6,7]
[2,3,1,5,4,7,6]=>[7,5,2,3,1,4,6]
[2,3,1,5,6,4,7]=>[5,2,3,1,6,4,7]
[2,3,1,5,6,7,4]=>[5,2,3,1,6,7,4]
[2,3,1,5,7,4,6]=>[5,2,3,1,4,7,6]
[2,3,1,5,7,6,4]=>[7,5,2,3,1,6,4]
[2,3,1,6,4,5,7]=>[2,6,3,1,4,5,7]
[2,3,1,6,4,7,5]=>[6,7,2,3,1,4,5]
[2,3,1,6,5,4,7]=>[6,5,2,3,1,4,7]
[2,3,1,6,5,7,4]=>[6,5,2,3,1,7,4]
[2,3,1,6,7,4,5]=>[2,6,3,1,4,7,5]
[2,3,1,6,7,5,4]=>[6,7,2,3,1,5,4]
[2,3,1,7,4,5,6]=>[2,3,7,1,4,5,6]
[2,3,1,7,4,6,5]=>[7,2,6,3,1,4,5]
[2,3,1,7,5,4,6]=>[5,7,2,3,1,4,6]
[2,3,1,7,5,6,4]=>[7,2,5,3,1,6,4]
[2,3,1,7,6,4,5]=>[2,7,6,3,1,4,5]
[2,3,1,7,6,5,4]=>[7,6,5,2,3,1,4]
[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]
[2,3,4,1,5,7,6]=>[7,2,3,4,1,5,6]
[2,3,4,1,6,5,7]=>[6,2,3,4,1,5,7]
[2,3,4,1,6,7,5]=>[6,2,3,4,1,7,5]
[2,3,4,1,7,5,6]=>[2,7,3,4,1,5,6]
[2,3,4,1,7,6,5]=>[7,6,2,3,4,1,5]
[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]
[2,3,4,5,1,7,6]=>[7,2,3,4,5,1,6]
[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]
[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]
[2,3,4,5,7,1,6]=>[2,3,4,5,1,7,6]
[2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]
[2,3,4,6,1,5,7]=>[2,3,4,1,6,5,7]
[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]
[2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]
[2,3,4,6,5,7,1]=>[6,2,3,4,5,7,1]
[2,3,4,6,7,1,5]=>[2,3,4,1,6,7,5]
[2,3,4,6,7,5,1]=>[6,2,3,4,7,5,1]
[2,3,4,7,1,5,6]=>[2,3,4,1,5,7,6]
[2,3,4,7,1,6,5]=>[7,2,3,4,1,6,5]
[2,3,4,7,5,1,6]=>[2,7,3,4,5,1,6]
[2,3,4,7,5,6,1]=>[2,7,3,4,5,6,1]
[2,3,4,7,6,1,5]=>[2,7,3,4,1,6,5]
[2,3,4,7,6,5,1]=>[7,6,2,3,4,5,1]
[2,3,5,1,4,6,7]=>[2,3,1,5,4,6,7]
[2,3,5,1,4,7,6]=>[7,2,3,1,5,4,6]
[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]
[2,3,5,1,6,7,4]=>[5,2,3,6,1,7,4]
[2,3,5,1,7,4,6]=>[5,2,3,1,7,4,6]
[2,3,5,1,7,6,4]=>[7,5,2,3,6,1,4]
[2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]
[2,3,5,4,1,7,6]=>[7,5,2,3,4,1,6]
[2,3,5,4,6,1,7]=>[5,2,3,4,6,1,7]
[2,3,5,4,6,7,1]=>[5,2,3,4,6,7,1]
[2,3,5,4,7,1,6]=>[5,2,3,4,1,7,6]
[2,3,5,4,7,6,1]=>[7,5,2,3,4,6,1]
[2,3,5,6,1,4,7]=>[2,3,1,5,6,4,7]
[2,3,5,6,1,7,4]=>[5,2,3,6,7,1,4]
[2,3,5,6,4,1,7]=>[5,2,3,6,4,1,7]
[2,3,5,6,4,7,1]=>[5,2,3,6,4,7,1]
[2,3,5,6,7,1,4]=>[2,3,1,5,6,7,4]
[2,3,5,6,7,4,1]=>[5,2,3,6,7,4,1]
[2,3,5,7,1,4,6]=>[2,3,1,5,4,7,6]
[2,3,5,7,1,6,4]=>[5,2,3,7,1,6,4]
[2,3,5,7,4,1,6]=>[5,2,3,4,7,1,6]
[2,3,5,7,4,6,1]=>[5,2,3,4,7,6,1]
[2,3,5,7,6,1,4]=>[2,7,3,1,5,6,4]
[2,3,5,7,6,4,1]=>[7,5,2,3,6,4,1]
[2,3,6,1,4,5,7]=>[2,3,1,4,6,5,7]
[2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]
[2,3,6,1,5,4,7]=>[6,2,3,1,5,4,7]
[2,3,6,1,5,7,4]=>[6,2,3,1,5,7,4]
[2,3,6,1,7,4,5]=>[2,6,3,1,7,4,5]
[2,3,6,1,7,5,4]=>[6,7,2,3,5,1,4]
[2,3,6,4,1,5,7]=>[2,6,3,4,1,5,7]
[2,3,6,4,1,7,5]=>[6,7,2,3,4,1,5]
[2,3,6,4,5,1,7]=>[2,6,3,4,5,1,7]
[2,3,6,4,5,7,1]=>[2,6,3,4,5,7,1]
[2,3,6,4,7,1,5]=>[2,6,3,4,1,7,5]
[2,3,6,4,7,5,1]=>[6,7,2,3,4,5,1]
[2,3,6,5,1,4,7]=>[2,6,3,1,5,4,7]
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]
[2,3,6,5,4,1,7]=>[6,5,2,3,4,1,7]
[2,3,6,5,4,7,1]=>[6,5,2,3,4,7,1]
[2,3,6,5,7,1,4]=>[2,6,3,1,5,7,4]
[2,3,6,5,7,4,1]=>[6,5,2,3,7,4,1]
[2,3,6,7,1,4,5]=>[2,3,1,4,6,7,5]
[2,3,6,7,1,5,4]=>[6,2,3,1,7,5,4]
[2,3,6,7,4,1,5]=>[2,6,3,4,7,1,5]
[2,3,6,7,4,5,1]=>[2,6,3,4,7,5,1]
[2,3,6,7,5,1,4]=>[2,6,3,1,7,5,4]
[2,3,6,7,5,4,1]=>[6,7,2,3,5,4,1]
[2,3,7,1,4,5,6]=>[2,3,1,4,5,7,6]
[2,3,7,1,4,6,5]=>[7,2,3,1,4,6,5]
[2,3,7,1,5,4,6]=>[2,7,3,1,5,4,6]
[2,3,7,1,5,6,4]=>[5,2,3,1,7,6,4]
[2,3,7,1,6,4,5]=>[2,7,3,1,4,6,5]
[2,3,7,1,6,5,4]=>[7,6,2,3,1,5,4]
[2,3,7,4,1,5,6]=>[2,3,7,4,1,5,6]
[2,3,7,4,1,6,5]=>[7,2,6,3,4,1,5]
[2,3,7,4,5,1,6]=>[2,3,7,4,5,1,6]
[2,3,7,4,5,6,1]=>[2,3,7,4,5,6,1]
[2,3,7,4,6,1,5]=>[2,3,7,4,1,6,5]
[2,3,7,4,6,5,1]=>[7,2,6,3,4,5,1]
[2,3,7,5,1,4,6]=>[2,3,7,1,5,4,6]
[2,3,7,5,1,6,4]=>[7,2,5,3,6,1,4]
[2,3,7,5,4,1,6]=>[5,7,2,3,4,1,6]
[2,3,7,5,4,6,1]=>[5,7,2,3,4,6,1]
[2,3,7,5,6,1,4]=>[2,3,7,1,5,6,4]
[2,3,7,5,6,4,1]=>[7,2,5,3,6,4,1]
[2,3,7,6,1,4,5]=>[2,3,7,1,4,6,5]
[2,3,7,6,1,5,4]=>[7,2,6,3,1,5,4]
[2,3,7,6,4,1,5]=>[2,7,6,3,4,1,5]
[2,3,7,6,4,5,1]=>[2,7,6,3,4,5,1]
[2,3,7,6,5,1,4]=>[2,7,6,3,1,5,4]
[2,3,7,6,5,4,1]=>[7,6,5,2,3,4,1]
[2,4,1,3,5,6,7]=>[2,1,4,3,5,6,7]
[2,4,1,3,5,7,6]=>[7,2,1,4,3,5,6]
[2,4,1,3,6,5,7]=>[6,2,1,4,3,5,7]
[2,4,1,3,6,7,5]=>[6,2,1,4,3,7,5]
[2,4,1,3,7,5,6]=>[2,7,1,4,3,5,6]
[2,4,1,3,7,6,5]=>[7,6,2,1,4,3,5]
[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]
[2,4,1,5,3,7,6]=>[7,4,2,5,1,3,6]
[2,4,1,5,6,3,7]=>[4,2,5,1,6,3,7]
[2,4,1,5,6,7,3]=>[4,2,5,1,6,7,3]
[2,4,1,5,7,3,6]=>[4,2,5,1,3,7,6]
[2,4,1,5,7,6,3]=>[7,4,2,5,1,6,3]
[2,4,1,6,3,5,7]=>[4,2,1,6,3,5,7]
[2,4,1,6,3,7,5]=>[6,4,2,7,1,3,5]
[2,4,1,6,5,3,7]=>[6,4,2,5,1,3,7]
[2,4,1,6,5,7,3]=>[6,4,2,5,1,7,3]
[2,4,1,6,7,3,5]=>[4,2,1,6,3,7,5]
[2,4,1,6,7,5,3]=>[6,4,2,7,1,5,3]
[2,4,1,7,3,5,6]=>[4,2,1,3,7,5,6]
[2,4,1,7,3,6,5]=>[7,4,2,1,6,3,5]
[2,4,1,7,5,3,6]=>[4,7,2,5,1,3,6]
[2,4,1,7,5,6,3]=>[7,2,4,5,1,6,3]
[2,4,1,7,6,3,5]=>[4,7,2,1,6,3,5]
[2,4,1,7,6,5,3]=>[7,6,4,2,5,1,3]
[2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]
[2,4,3,1,5,7,6]=>[7,4,2,3,1,5,6]
[2,4,3,1,6,5,7]=>[6,4,2,3,1,5,7]
[2,4,3,1,6,7,5]=>[6,4,2,3,1,7,5]
[2,4,3,1,7,5,6]=>[4,7,2,3,1,5,6]
[2,4,3,1,7,6,5]=>[7,6,4,2,3,1,5]
[2,4,3,5,1,6,7]=>[4,2,3,5,1,6,7]
[2,4,3,5,1,7,6]=>[7,4,2,3,5,1,6]
[2,4,3,5,6,1,7]=>[4,2,3,5,6,1,7]
[2,4,3,5,6,7,1]=>[4,2,3,5,6,7,1]
[2,4,3,5,7,1,6]=>[4,2,3,5,1,7,6]
[2,4,3,5,7,6,1]=>[7,4,2,3,5,6,1]
[2,4,3,6,1,5,7]=>[4,2,3,1,6,5,7]
[2,4,3,6,1,7,5]=>[6,4,2,3,7,1,5]
[2,4,3,6,5,1,7]=>[6,4,2,3,5,1,7]
[2,4,3,6,5,7,1]=>[6,4,2,3,5,7,1]
[2,4,3,6,7,1,5]=>[4,2,3,1,6,7,5]
[2,4,3,6,7,5,1]=>[6,4,2,3,7,5,1]
[2,4,3,7,1,5,6]=>[4,2,3,1,5,7,6]
[2,4,3,7,1,6,5]=>[7,4,2,3,1,6,5]
[2,4,3,7,5,1,6]=>[4,7,2,3,5,1,6]
[2,4,3,7,5,6,1]=>[4,7,2,3,5,6,1]
[2,4,3,7,6,1,5]=>[4,7,2,3,1,6,5]
[2,4,3,7,6,5,1]=>[7,6,4,2,3,5,1]
[2,4,5,1,3,6,7]=>[2,1,4,5,3,6,7]
[2,4,5,1,3,7,6]=>[7,2,1,4,5,3,6]
[2,4,5,1,6,3,7]=>[4,2,5,6,1,3,7]
[2,4,5,1,6,7,3]=>[4,2,5,6,1,7,3]
[2,4,5,1,7,3,6]=>[4,2,5,1,7,3,6]
[2,4,5,1,7,6,3]=>[7,4,2,5,6,1,3]
[2,4,5,3,1,6,7]=>[4,2,5,3,1,6,7]
[2,4,5,3,1,7,6]=>[7,4,2,5,3,1,6]
[2,4,5,3,6,1,7]=>[4,2,5,3,6,1,7]
[2,4,5,3,6,7,1]=>[4,2,5,3,6,7,1]
[2,4,5,3,7,1,6]=>[4,2,5,3,1,7,6]
[2,4,5,3,7,6,1]=>[7,4,2,5,3,6,1]
[2,4,5,6,1,3,7]=>[2,1,4,5,6,3,7]
[2,4,5,6,1,7,3]=>[4,2,5,6,7,1,3]
[2,4,5,6,3,1,7]=>[4,2,5,6,3,1,7]
[2,4,5,6,3,7,1]=>[4,2,5,6,3,7,1]
[2,4,5,6,7,1,3]=>[2,1,4,5,6,7,3]
[2,4,5,6,7,3,1]=>[4,2,5,6,7,3,1]
[2,4,5,7,1,3,6]=>[2,1,4,5,3,7,6]
[2,4,5,7,1,6,3]=>[4,2,5,7,1,6,3]
[2,4,5,7,3,1,6]=>[4,2,5,3,7,1,6]
[2,4,5,7,3,6,1]=>[4,2,5,3,7,6,1]
[2,4,5,7,6,1,3]=>[2,7,1,4,5,6,3]
[2,4,5,7,6,3,1]=>[7,4,2,5,6,3,1]
[2,4,6,1,3,5,7]=>[2,1,4,3,6,5,7]
[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]
[2,4,6,1,5,3,7]=>[4,2,6,1,5,3,7]
[2,4,6,1,5,7,3]=>[4,2,6,1,5,7,3]
[2,4,6,1,7,3,5]=>[4,2,1,6,7,3,5]
[2,4,6,1,7,5,3]=>[6,4,2,7,5,1,3]
[2,4,6,3,1,5,7]=>[4,2,3,6,1,5,7]
[2,4,6,3,1,7,5]=>[6,4,2,7,3,1,5]
[2,4,6,3,5,1,7]=>[4,2,3,6,5,1,7]
[2,4,6,3,5,7,1]=>[4,2,3,6,5,7,1]
[2,4,6,3,7,1,5]=>[4,2,3,6,1,7,5]
[2,4,6,3,7,5,1]=>[6,4,2,7,3,5,1]
[2,4,6,5,1,3,7]=>[2,6,1,4,5,3,7]
[2,4,6,5,1,7,3]=>[6,4,2,5,7,1,3]
[2,4,6,5,3,1,7]=>[6,4,2,5,3,1,7]
[2,4,6,5,3,7,1]=>[6,4,2,5,3,7,1]
[2,4,6,5,7,1,3]=>[2,6,1,4,5,7,3]
[2,4,6,5,7,3,1]=>[6,4,2,5,7,3,1]
[2,4,6,7,1,3,5]=>[2,1,4,3,6,7,5]
[2,4,6,7,1,5,3]=>[4,2,6,1,7,5,3]
[2,4,6,7,3,1,5]=>[4,2,3,6,7,1,5]
[2,4,6,7,3,5,1]=>[4,2,3,6,7,5,1]
[2,4,6,7,5,1,3]=>[2,6,1,4,7,5,3]
[2,4,6,7,5,3,1]=>[6,4,2,7,5,3,1]
[2,4,7,1,3,5,6]=>[2,1,4,3,5,7,6]
[2,4,7,1,3,6,5]=>[7,2,1,4,3,6,5]
[2,4,7,1,5,3,6]=>[4,2,1,7,5,3,6]
[2,4,7,1,5,6,3]=>[4,2,5,1,7,6,3]
[2,4,7,1,6,3,5]=>[4,2,1,7,3,6,5]
[2,4,7,1,6,5,3]=>[7,4,2,6,1,5,3]
[2,4,7,3,1,5,6]=>[4,2,3,1,7,5,6]
[2,4,7,3,1,6,5]=>[7,4,2,3,6,1,5]
[2,4,7,3,5,1,6]=>[4,2,3,5,7,1,6]
[2,4,7,3,5,6,1]=>[4,2,3,5,7,6,1]
[2,4,7,3,6,1,5]=>[4,2,3,1,7,6,5]
[2,4,7,3,6,5,1]=>[7,4,2,3,6,5,1]
[2,4,7,5,1,3,6]=>[2,1,7,4,5,3,6]
[2,4,7,5,1,6,3]=>[7,2,4,5,6,1,3]
[2,4,7,5,3,1,6]=>[4,7,2,5,3,1,6]
[2,4,7,5,3,6,1]=>[4,7,2,5,3,6,1]
[2,4,7,5,6,1,3]=>[2,1,7,4,5,6,3]
[2,4,7,5,6,3,1]=>[7,2,4,5,6,3,1]
[2,4,7,6,1,3,5]=>[2,1,7,4,3,6,5]
[2,4,7,6,1,5,3]=>[7,2,4,6,1,5,3]
[2,4,7,6,3,1,5]=>[4,7,2,3,6,1,5]
[2,4,7,6,3,5,1]=>[4,7,2,3,6,5,1]
[2,4,7,6,5,1,3]=>[2,7,6,1,4,5,3]
[2,4,7,6,5,3,1]=>[7,6,4,2,5,3,1]
[2,5,1,3,4,6,7]=>[2,1,3,5,4,6,7]
[2,5,1,3,4,7,6]=>[7,2,1,3,5,4,6]
[2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]
[2,5,1,3,6,7,4]=>[5,2,1,6,3,7,4]
[2,5,1,3,7,4,6]=>[5,2,1,3,7,4,6]
[2,5,1,3,7,6,4]=>[7,5,2,1,6,3,4]
[2,5,1,4,3,6,7]=>[5,2,1,4,3,6,7]
[2,5,1,4,3,7,6]=>[7,5,2,1,4,3,6]
[2,5,1,4,6,3,7]=>[5,2,1,4,6,3,7]
[2,5,1,4,6,7,3]=>[5,2,1,4,6,7,3]
[2,5,1,4,7,3,6]=>[5,2,1,4,3,7,6]
[2,5,1,4,7,6,3]=>[7,5,2,1,4,6,3]
[2,5,1,6,3,4,7]=>[2,5,1,6,3,4,7]
[2,5,1,6,3,7,4]=>[5,6,2,7,1,3,4]
[2,5,1,6,4,3,7]=>[5,6,2,4,1,3,7]
[2,5,1,6,4,7,3]=>[5,6,2,4,1,7,3]
[2,5,1,6,7,3,4]=>[2,5,1,6,3,7,4]
[2,5,1,6,7,4,3]=>[5,6,2,7,1,4,3]
[2,5,1,7,3,4,6]=>[2,5,1,3,7,4,6]
[2,5,1,7,3,6,4]=>[5,7,2,1,6,3,4]
[2,5,1,7,4,3,6]=>[5,2,7,4,1,3,6]
[2,5,1,7,4,6,3]=>[5,7,2,1,4,6,3]
[2,5,1,7,6,3,4]=>[2,7,5,1,6,3,4]
[2,5,1,7,6,4,3]=>[7,5,6,2,4,1,3]
[2,5,3,1,4,6,7]=>[2,5,3,1,4,6,7]
[2,5,3,1,4,7,6]=>[7,2,5,3,1,4,6]
[2,5,3,1,6,4,7]=>[5,6,2,3,1,4,7]
[2,5,3,1,6,7,4]=>[5,6,2,3,1,7,4]
[2,5,3,1,7,4,6]=>[5,2,7,3,1,4,6]
[2,5,3,1,7,6,4]=>[7,5,6,2,3,1,4]
[2,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]
[2,5,3,4,1,7,6]=>[7,2,5,3,4,1,6]
[2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]
[2,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]
[2,5,3,4,7,1,6]=>[2,5,3,4,1,7,6]
[2,5,3,4,7,6,1]=>[7,2,5,3,4,6,1]
[2,5,3,6,1,4,7]=>[2,5,3,1,6,4,7]
[2,5,3,6,1,7,4]=>[5,6,2,3,7,1,4]
[2,5,3,6,4,1,7]=>[5,6,2,3,4,1,7]
[2,5,3,6,4,7,1]=>[5,6,2,3,4,7,1]
[2,5,3,6,7,1,4]=>[2,5,3,1,6,7,4]
[2,5,3,6,7,4,1]=>[5,6,2,3,7,4,1]
[2,5,3,7,1,4,6]=>[2,5,3,1,4,7,6]
[2,5,3,7,1,6,4]=>[5,7,2,3,1,6,4]
[2,5,3,7,4,1,6]=>[5,2,7,3,4,1,6]
[2,5,3,7,4,6,1]=>[5,2,7,3,4,6,1]
[2,5,3,7,6,1,4]=>[2,7,5,3,1,6,4]
[2,5,3,7,6,4,1]=>[7,5,6,2,3,4,1]
[2,5,4,1,3,6,7]=>[2,5,1,4,3,6,7]
[2,5,4,1,3,7,6]=>[7,2,5,1,4,3,6]
[2,5,4,1,6,3,7]=>[5,4,2,6,1,3,7]
[2,5,4,1,6,7,3]=>[5,4,2,6,1,7,3]
[2,5,4,1,7,3,6]=>[5,4,2,1,7,3,6]
[2,5,4,1,7,6,3]=>[7,5,4,2,6,1,3]
[2,5,4,3,1,6,7]=>[5,4,2,3,1,6,7]
[2,5,4,3,1,7,6]=>[7,5,4,2,3,1,6]
[2,5,4,3,6,1,7]=>[5,4,2,3,6,1,7]
[2,5,4,3,6,7,1]=>[5,4,2,3,6,7,1]
[2,5,4,3,7,1,6]=>[5,4,2,3,1,7,6]
[2,5,4,3,7,6,1]=>[7,5,4,2,3,6,1]
[2,5,4,6,1,3,7]=>[2,5,1,4,6,3,7]
[2,5,4,6,1,7,3]=>[5,4,2,6,7,1,3]
[2,5,4,6,3,1,7]=>[5,4,2,6,3,1,7]
[2,5,4,6,3,7,1]=>[5,4,2,6,3,7,1]
[2,5,4,6,7,1,3]=>[2,5,1,4,6,7,3]
[2,5,4,6,7,3,1]=>[5,4,2,6,7,3,1]
[2,5,4,7,1,3,6]=>[2,5,1,4,3,7,6]
[2,5,4,7,1,6,3]=>[5,4,2,7,1,6,3]
[2,5,4,7,3,1,6]=>[5,4,2,3,7,1,6]
[2,5,4,7,3,6,1]=>[5,4,2,3,7,6,1]
[2,5,4,7,6,1,3]=>[2,7,5,1,4,6,3]
[2,5,4,7,6,3,1]=>[7,5,4,2,6,3,1]
[2,5,6,1,3,4,7]=>[2,1,3,5,6,4,7]
[2,5,6,1,3,7,4]=>[5,2,1,6,7,3,4]
[2,5,6,1,4,3,7]=>[5,2,1,6,4,3,7]
[2,5,6,1,4,7,3]=>[5,2,1,6,4,7,3]
[2,5,6,1,7,3,4]=>[2,5,1,6,7,3,4]
[2,5,6,1,7,4,3]=>[5,6,2,7,4,1,3]
[2,5,6,3,1,4,7]=>[2,5,3,6,1,4,7]
[2,5,6,3,1,7,4]=>[5,6,2,7,3,1,4]
[2,5,6,3,4,1,7]=>[2,5,3,6,4,1,7]
[2,5,6,3,4,7,1]=>[2,5,3,6,4,7,1]
[2,5,6,3,7,1,4]=>[2,5,3,6,1,7,4]
[2,5,6,3,7,4,1]=>[5,6,2,7,3,4,1]
[2,5,6,4,1,3,7]=>[2,5,1,6,4,3,7]
[2,5,6,4,1,7,3]=>[5,6,2,4,7,1,3]
[2,5,6,4,3,1,7]=>[5,6,2,4,3,1,7]
[2,5,6,4,3,7,1]=>[5,6,2,4,3,7,1]
[2,5,6,4,7,1,3]=>[2,5,1,6,4,7,3]
[2,5,6,4,7,3,1]=>[5,6,2,4,7,3,1]
[2,5,6,7,1,3,4]=>[2,1,3,5,6,7,4]
[2,5,6,7,1,4,3]=>[5,2,1,6,7,4,3]
[2,5,6,7,3,1,4]=>[2,5,3,6,7,1,4]
[2,5,6,7,3,4,1]=>[2,5,3,6,7,4,1]
[2,5,6,7,4,1,3]=>[2,5,1,6,7,4,3]
[2,5,6,7,4,3,1]=>[5,6,2,7,4,3,1]
[2,5,7,1,3,4,6]=>[2,1,3,5,4,7,6]
[2,5,7,1,3,6,4]=>[5,2,1,7,3,6,4]
[2,5,7,1,4,3,6]=>[5,2,1,4,7,3,6]
[2,5,7,1,4,6,3]=>[5,2,1,4,7,6,3]
[2,5,7,1,6,3,4]=>[2,5,1,7,3,6,4]
[2,5,7,1,6,4,3]=>[5,7,2,6,1,4,3]
[2,5,7,3,1,4,6]=>[2,5,3,1,7,4,6]
[2,5,7,3,1,6,4]=>[5,7,2,3,6,1,4]
[2,5,7,3,4,1,6]=>[2,5,3,4,7,1,6]
[2,5,7,3,4,6,1]=>[2,5,3,4,7,6,1]
[2,5,7,3,6,1,4]=>[2,5,3,1,7,6,4]
[2,5,7,3,6,4,1]=>[5,7,2,3,6,4,1]
[2,5,7,4,1,3,6]=>[2,5,1,4,7,3,6]
[2,5,7,4,1,6,3]=>[5,4,2,7,6,1,3]
[2,5,7,4,3,1,6]=>[5,2,7,4,3,1,6]
[2,5,7,4,3,6,1]=>[5,2,7,4,3,6,1]
[2,5,7,4,6,1,3]=>[2,5,1,4,7,6,3]
[2,5,7,4,6,3,1]=>[5,4,2,7,6,3,1]
[2,5,7,6,1,3,4]=>[2,1,7,3,5,6,4]
[2,5,7,6,1,4,3]=>[7,2,5,1,6,4,3]
[2,5,7,6,3,1,4]=>[2,7,5,3,6,1,4]
[2,5,7,6,3,4,1]=>[2,7,5,3,6,4,1]
[2,5,7,6,4,1,3]=>[2,7,5,1,6,4,3]
[2,5,7,6,4,3,1]=>[7,5,6,2,4,3,1]
[2,6,1,3,4,5,7]=>[2,1,3,4,6,5,7]
[2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]
[2,6,1,3,5,4,7]=>[6,2,1,3,5,4,7]
[2,6,1,3,5,7,4]=>[6,2,1,3,5,7,4]
[2,6,1,3,7,4,5]=>[2,6,1,3,7,4,5]
[2,6,1,3,7,5,4]=>[6,7,2,1,5,3,4]
[2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]
[2,6,1,4,3,7,5]=>[6,7,2,1,4,3,5]
[2,6,1,4,5,3,7]=>[4,2,1,6,5,3,7]
[2,6,1,4,5,7,3]=>[4,2,1,6,5,7,3]
[2,6,1,4,7,3,5]=>[2,6,1,4,3,7,5]
[2,6,1,4,7,5,3]=>[6,7,2,1,4,5,3]
[2,6,1,5,3,4,7]=>[2,6,1,3,5,4,7]
[2,6,1,5,3,7,4]=>[6,5,2,1,7,3,4]
[2,6,1,5,4,3,7]=>[6,5,2,1,4,3,7]
[2,6,1,5,4,7,3]=>[6,5,2,1,4,7,3]
[2,6,1,5,7,3,4]=>[2,6,1,3,5,7,4]
[2,6,1,5,7,4,3]=>[6,5,2,1,7,4,3]
[2,6,1,7,3,4,5]=>[2,1,6,3,7,4,5]
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]
[2,6,1,7,4,3,5]=>[2,6,7,4,1,3,5]
[2,6,1,7,4,5,3]=>[6,2,7,1,4,5,3]
[2,6,1,7,5,3,4]=>[2,6,7,1,5,3,4]
[2,6,1,7,5,4,3]=>[6,7,5,2,4,1,3]
[2,6,3,1,4,5,7]=>[2,3,6,1,4,5,7]
[2,6,3,1,4,7,5]=>[6,2,7,3,1,4,5]
[2,6,3,1,5,4,7]=>[6,2,5,3,1,4,7]
[2,6,3,1,5,7,4]=>[6,2,5,3,1,7,4]
[2,6,3,1,7,4,5]=>[2,6,7,3,1,4,5]
[2,6,3,1,7,5,4]=>[6,7,5,2,3,1,4]
[2,6,3,4,1,5,7]=>[2,3,6,4,1,5,7]
[2,6,3,4,1,7,5]=>[6,2,7,3,4,1,5]
[2,6,3,4,5,1,7]=>[2,3,6,4,5,1,7]
[2,6,3,4,5,7,1]=>[2,3,6,4,5,7,1]
[2,6,3,4,7,1,5]=>[2,3,6,4,1,7,5]
[2,6,3,4,7,5,1]=>[6,2,7,3,4,5,1]
[2,6,3,5,1,4,7]=>[2,3,6,1,5,4,7]
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]
[2,6,3,5,4,1,7]=>[6,2,5,3,4,1,7]
[2,6,3,5,4,7,1]=>[6,2,5,3,4,7,1]
[2,6,3,5,7,1,4]=>[2,3,6,1,5,7,4]
[2,6,3,5,7,4,1]=>[6,2,5,3,7,4,1]
[2,6,3,7,1,4,5]=>[2,3,6,1,4,7,5]
[2,6,3,7,1,5,4]=>[6,2,7,3,1,5,4]
[2,6,3,7,4,1,5]=>[2,6,7,3,4,1,5]
[2,6,3,7,4,5,1]=>[2,6,7,3,4,5,1]
[2,6,3,7,5,1,4]=>[2,6,7,3,1,5,4]
[2,6,3,7,5,4,1]=>[6,7,5,2,3,4,1]
[2,6,4,1,3,5,7]=>[2,1,6,4,3,5,7]
[2,6,4,1,3,7,5]=>[6,2,7,1,4,3,5]
[2,6,4,1,5,3,7]=>[6,2,4,5,1,3,7]
[2,6,4,1,5,7,3]=>[6,2,4,5,1,7,3]
[2,6,4,1,7,3,5]=>[4,6,2,1,7,3,5]
[2,6,4,1,7,5,3]=>[6,7,4,2,5,1,3]
[2,6,4,3,1,5,7]=>[4,6,2,3,1,5,7]
[2,6,4,3,1,7,5]=>[6,7,4,2,3,1,5]
[2,6,4,3,5,1,7]=>[4,6,2,3,5,1,7]
[2,6,4,3,5,7,1]=>[4,6,2,3,5,7,1]
[2,6,4,3,7,1,5]=>[4,6,2,3,1,7,5]
[2,6,4,3,7,5,1]=>[6,7,4,2,3,5,1]
[2,6,4,5,1,3,7]=>[2,1,6,4,5,3,7]
[2,6,4,5,1,7,3]=>[6,2,4,5,7,1,3]
[2,6,4,5,3,1,7]=>[6,2,4,5,3,1,7]
[2,6,4,5,3,7,1]=>[6,2,4,5,3,7,1]
[2,6,4,5,7,1,3]=>[2,1,6,4,5,7,3]
[2,6,4,5,7,3,1]=>[6,2,4,5,7,3,1]
[2,6,4,7,1,3,5]=>[2,1,6,4,3,7,5]
[2,6,4,7,1,5,3]=>[6,2,4,7,1,5,3]
[2,6,4,7,3,1,5]=>[4,6,2,3,7,1,5]
[2,6,4,7,3,5,1]=>[4,6,2,3,7,5,1]
[2,6,4,7,5,1,3]=>[2,6,7,1,4,5,3]
[2,6,4,7,5,3,1]=>[6,7,4,2,5,3,1]
[2,6,5,1,3,4,7]=>[2,1,6,3,5,4,7]
[2,6,5,1,3,7,4]=>[6,2,5,1,7,3,4]
[2,6,5,1,4,3,7]=>[6,2,5,1,4,3,7]
[2,6,5,1,4,7,3]=>[6,2,5,1,4,7,3]
[2,6,5,1,7,3,4]=>[2,6,5,1,7,3,4]
[2,6,5,1,7,4,3]=>[6,5,7,2,4,1,3]
[2,6,5,3,1,4,7]=>[2,6,5,3,1,4,7]
[2,6,5,3,1,7,4]=>[6,5,7,2,3,1,4]
[2,6,5,3,4,1,7]=>[2,6,5,3,4,1,7]
[2,6,5,3,4,7,1]=>[2,6,5,3,4,7,1]
[2,6,5,3,7,1,4]=>[2,6,5,3,1,7,4]
[2,6,5,3,7,4,1]=>[6,5,7,2,3,4,1]
[2,6,5,4,1,3,7]=>[2,6,5,1,4,3,7]
[2,6,5,4,1,7,3]=>[6,5,4,2,7,1,3]
[2,6,5,4,3,1,7]=>[6,5,4,2,3,1,7]
[2,6,5,4,3,7,1]=>[6,5,4,2,3,7,1]
[2,6,5,4,7,1,3]=>[2,6,5,1,4,7,3]
[2,6,5,4,7,3,1]=>[6,5,4,2,7,3,1]
[2,6,5,7,1,3,4]=>[2,1,6,3,5,7,4]
[2,6,5,7,1,4,3]=>[6,2,5,1,7,4,3]
[2,6,5,7,3,1,4]=>[2,6,5,3,7,1,4]
[2,6,5,7,3,4,1]=>[2,6,5,3,7,4,1]
[2,6,5,7,4,1,3]=>[2,6,5,1,7,4,3]
[2,6,5,7,4,3,1]=>[6,5,7,2,4,3,1]
[2,6,7,1,3,4,5]=>[2,1,3,4,6,7,5]
[2,6,7,1,3,5,4]=>[6,2,1,3,7,5,4]
[2,6,7,1,4,3,5]=>[2,6,1,4,7,3,5]
[2,6,7,1,4,5,3]=>[4,2,1,6,7,5,3]
[2,6,7,1,5,3,4]=>[2,6,1,3,7,5,4]
[2,6,7,1,5,4,3]=>[6,7,2,1,5,4,3]
[2,6,7,3,1,4,5]=>[2,3,6,1,7,4,5]
[2,6,7,3,1,5,4]=>[6,2,7,3,5,1,4]
[2,6,7,3,4,1,5]=>[2,3,6,4,7,1,5]
[2,6,7,3,4,5,1]=>[2,3,6,4,7,5,1]
[2,6,7,3,5,1,4]=>[2,3,6,1,7,5,4]
[2,6,7,3,5,4,1]=>[6,2,7,3,5,4,1]
[2,6,7,4,1,3,5]=>[2,1,6,4,7,3,5]
[2,6,7,4,1,5,3]=>[6,2,4,7,5,1,3]
[2,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]
[2,6,7,4,3,5,1]=>[2,6,7,4,3,5,1]
[2,6,7,4,5,1,3]=>[2,1,6,4,7,5,3]
[2,6,7,4,5,3,1]=>[6,2,4,7,5,3,1]
[2,6,7,5,1,3,4]=>[2,1,6,3,7,5,4]
[2,6,7,5,1,4,3]=>[6,2,7,1,5,4,3]
[2,6,7,5,3,1,4]=>[2,6,7,3,5,1,4]
[2,6,7,5,3,4,1]=>[2,6,7,3,5,4,1]
[2,6,7,5,4,1,3]=>[2,6,7,1,5,4,3]
[2,6,7,5,4,3,1]=>[6,7,5,2,4,3,1]
[2,7,1,3,4,5,6]=>[2,1,3,4,5,7,6]
[2,7,1,3,4,6,5]=>[7,2,1,3,4,6,5]
[2,7,1,3,5,4,6]=>[2,7,1,3,5,4,6]
[2,7,1,3,5,6,4]=>[5,2,1,3,7,6,4]
[2,7,1,3,6,4,5]=>[2,7,1,3,4,6,5]
[2,7,1,3,6,5,4]=>[7,6,2,1,3,5,4]
[2,7,1,4,3,5,6]=>[2,1,7,4,3,5,6]
[2,7,1,4,3,6,5]=>[7,2,6,1,4,3,5]
[2,7,1,4,5,3,6]=>[4,2,1,5,7,3,6]
[2,7,1,4,5,6,3]=>[4,2,1,5,7,6,3]
[2,7,1,4,6,3,5]=>[4,2,1,3,7,6,5]
[2,7,1,4,6,5,3]=>[7,4,2,1,6,5,3]
[2,7,1,5,3,4,6]=>[2,1,7,3,5,4,6]
[2,7,1,5,3,6,4]=>[7,2,5,1,6,3,4]
[2,7,1,5,4,3,6]=>[5,7,2,1,4,3,6]
[2,7,1,5,4,6,3]=>[7,2,5,1,4,6,3]
[2,7,1,5,6,3,4]=>[2,5,1,3,7,6,4]
[2,7,1,5,6,4,3]=>[5,7,2,1,6,4,3]
[2,7,1,6,3,4,5]=>[2,1,7,3,4,6,5]
[2,7,1,6,3,5,4]=>[7,2,6,1,3,5,4]
[2,7,1,6,4,3,5]=>[2,7,6,1,4,3,5]
[2,7,1,6,4,5,3]=>[7,2,4,1,6,5,3]
[2,7,1,6,5,3,4]=>[2,7,6,1,3,5,4]
[2,7,1,6,5,4,3]=>[7,6,5,2,1,4,3]
[2,7,3,1,4,5,6]=>[2,3,1,7,4,5,6]
[2,7,3,1,4,6,5]=>[7,2,3,6,1,4,5]
[2,7,3,1,5,4,6]=>[2,7,5,3,1,4,6]
[2,7,3,1,5,6,4]=>[7,2,3,5,1,6,4]
[2,7,3,1,6,4,5]=>[2,7,3,6,1,4,5]
[2,7,3,1,6,5,4]=>[7,6,2,5,3,1,4]
[2,7,3,4,1,5,6]=>[2,3,4,7,1,5,6]
[2,7,3,4,1,6,5]=>[7,2,3,6,4,1,5]
[2,7,3,4,5,1,6]=>[2,3,4,7,5,1,6]
[2,7,3,4,5,6,1]=>[2,3,4,7,5,6,1]
[2,7,3,4,6,1,5]=>[2,3,4,7,1,6,5]
[2,7,3,4,6,5,1]=>[7,2,3,6,4,5,1]
[2,7,3,5,1,4,6]=>[2,3,1,7,5,4,6]
[2,7,3,5,1,6,4]=>[7,2,3,5,6,1,4]
[2,7,3,5,4,1,6]=>[2,7,5,3,4,1,6]
[2,7,3,5,4,6,1]=>[2,7,5,3,4,6,1]
[2,7,3,5,6,1,4]=>[2,3,1,7,5,6,4]
[2,7,3,5,6,4,1]=>[7,2,3,5,6,4,1]
[2,7,3,6,1,4,5]=>[2,3,1,7,4,6,5]
[2,7,3,6,1,5,4]=>[7,2,3,6,1,5,4]
[2,7,3,6,4,1,5]=>[2,7,3,6,4,1,5]
[2,7,3,6,4,5,1]=>[2,7,3,6,4,5,1]
[2,7,3,6,5,1,4]=>[2,7,3,6,1,5,4]
[2,7,3,6,5,4,1]=>[7,6,2,5,3,4,1]
[2,7,4,1,3,5,6]=>[2,1,4,7,3,5,6]
[2,7,4,1,3,6,5]=>[7,2,1,6,4,3,5]
[2,7,4,1,5,3,6]=>[2,7,4,5,1,3,6]
[2,7,4,1,5,6,3]=>[4,2,7,5,1,6,3]
[2,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]
[2,7,4,1,6,5,3]=>[7,6,2,4,5,1,3]
[2,7,4,3,1,5,6]=>[4,2,7,3,1,5,6]
[2,7,4,3,1,6,5]=>[7,4,6,2,3,1,5]
[2,7,4,3,5,1,6]=>[4,2,7,3,5,1,6]
[2,7,4,3,5,6,1]=>[4,2,7,3,5,6,1]
[2,7,4,3,6,1,5]=>[4,2,7,3,1,6,5]
[2,7,4,3,6,5,1]=>[7,4,6,2,3,5,1]
[2,7,4,5,1,3,6]=>[2,1,4,7,5,3,6]
[2,7,4,5,1,6,3]=>[4,2,7,5,6,1,3]
[2,7,4,5,3,1,6]=>[2,7,4,5,3,1,6]
[2,7,4,5,3,6,1]=>[2,7,4,5,3,6,1]
[2,7,4,5,6,1,3]=>[2,1,4,7,5,6,3]
[2,7,4,5,6,3,1]=>[4,2,7,5,6,3,1]
[2,7,4,6,1,3,5]=>[2,1,4,7,3,6,5]
[2,7,4,6,1,5,3]=>[4,2,7,6,1,5,3]
[2,7,4,6,3,1,5]=>[2,7,4,3,6,1,5]
[2,7,4,6,3,5,1]=>[2,7,4,3,6,5,1]
[2,7,4,6,5,1,3]=>[2,7,1,6,4,5,3]
[2,7,4,6,5,3,1]=>[7,6,2,4,5,3,1]
[2,7,5,1,3,4,6]=>[2,1,3,7,5,4,6]
[2,7,5,1,3,6,4]=>[7,2,1,5,6,3,4]
[2,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]
[2,7,5,1,4,6,3]=>[7,2,1,5,4,6,3]
[2,7,5,1,6,3,4]=>[2,7,1,5,6,3,4]
[2,7,5,1,6,4,3]=>[7,5,2,6,4,1,3]
[2,7,5,3,1,4,6]=>[2,5,7,3,1,4,6]
[2,7,5,3,1,6,4]=>[5,7,6,2,3,1,4]
[2,7,5,3,4,1,6]=>[2,5,7,3,4,1,6]
[2,7,5,3,4,6,1]=>[2,5,7,3,4,6,1]
[2,7,5,3,6,1,4]=>[2,5,7,3,1,6,4]
[2,7,5,3,6,4,1]=>[5,7,6,2,3,4,1]
[2,7,5,4,1,3,6]=>[2,5,7,1,4,3,6]
[2,7,5,4,1,6,3]=>[5,7,4,2,6,1,3]
[2,7,5,4,3,1,6]=>[5,7,4,2,3,1,6]
[2,7,5,4,3,6,1]=>[5,7,4,2,3,6,1]
[2,7,5,4,6,1,3]=>[2,5,7,1,4,6,3]
[2,7,5,4,6,3,1]=>[5,7,4,2,6,3,1]
[2,7,5,6,1,3,4]=>[2,1,3,7,5,6,4]
[2,7,5,6,1,4,3]=>[7,2,1,5,6,4,3]
[2,7,5,6,3,1,4]=>[2,7,3,5,6,1,4]
[2,7,5,6,3,4,1]=>[2,7,3,5,6,4,1]
[2,7,5,6,4,1,3]=>[2,7,1,5,6,4,3]
[2,7,5,6,4,3,1]=>[7,5,2,6,4,3,1]
[2,7,6,1,3,4,5]=>[2,1,3,7,4,6,5]
[2,7,6,1,3,5,4]=>[7,2,1,6,3,5,4]
[2,7,6,1,4,3,5]=>[2,7,1,6,4,3,5]
[2,7,6,1,4,5,3]=>[7,2,1,4,6,5,3]
[2,7,6,1,5,3,4]=>[2,7,1,6,3,5,4]
[2,7,6,1,5,4,3]=>[7,6,2,5,1,4,3]
[2,7,6,3,1,4,5]=>[2,3,7,6,1,4,5]
[2,7,6,3,1,5,4]=>[7,2,6,5,3,1,4]
[2,7,6,3,4,1,5]=>[2,3,7,6,4,1,5]
[2,7,6,3,4,5,1]=>[2,3,7,6,4,5,1]
[2,7,6,3,5,1,4]=>[2,3,7,6,1,5,4]
[2,7,6,3,5,4,1]=>[7,2,6,5,3,4,1]
[2,7,6,4,1,3,5]=>[2,1,7,6,4,3,5]
[2,7,6,4,1,5,3]=>[7,2,6,4,5,1,3]
[2,7,6,4,3,1,5]=>[4,7,6,2,3,1,5]
[2,7,6,4,3,5,1]=>[4,7,6,2,3,5,1]
[2,7,6,4,5,1,3]=>[2,1,7,6,4,5,3]
[2,7,6,4,5,3,1]=>[7,2,6,4,5,3,1]
[2,7,6,5,1,3,4]=>[2,1,7,6,3,5,4]
[2,7,6,5,1,4,3]=>[7,2,6,5,1,4,3]
[2,7,6,5,3,1,4]=>[2,7,6,5,3,1,4]
[2,7,6,5,3,4,1]=>[2,7,6,5,3,4,1]
[2,7,6,5,4,1,3]=>[2,7,6,5,1,4,3]
[2,7,6,5,4,3,1]=>[7,6,5,4,2,3,1]
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[3,1,2,4,5,7,6]=>[7,1,3,2,4,5,6]
[3,1,2,4,6,5,7]=>[6,1,3,2,4,5,7]
[3,1,2,4,6,7,5]=>[6,1,3,2,4,7,5]
[3,1,2,4,7,5,6]=>[1,7,3,2,4,5,6]
[3,1,2,4,7,6,5]=>[7,6,1,3,2,4,5]
[3,1,2,5,4,6,7]=>[5,1,3,2,4,6,7]
[3,1,2,5,4,7,6]=>[7,5,1,3,2,4,6]
[3,1,2,5,6,4,7]=>[5,1,3,2,6,4,7]
[3,1,2,5,6,7,4]=>[5,1,3,2,6,7,4]
[3,1,2,5,7,4,6]=>[5,1,3,2,4,7,6]
[3,1,2,5,7,6,4]=>[7,5,1,3,2,6,4]
[3,1,2,6,4,5,7]=>[1,6,3,2,4,5,7]
[3,1,2,6,4,7,5]=>[6,7,1,3,2,4,5]
[3,1,2,6,5,4,7]=>[6,5,1,3,2,4,7]
[3,1,2,6,5,7,4]=>[6,5,1,3,2,7,4]
[3,1,2,6,7,4,5]=>[1,6,3,2,4,7,5]
[3,1,2,6,7,5,4]=>[6,7,1,3,2,5,4]
[3,1,2,7,4,5,6]=>[1,3,7,2,4,5,6]
[3,1,2,7,4,6,5]=>[7,1,6,3,2,4,5]
[3,1,2,7,5,4,6]=>[5,7,1,3,2,4,6]
[3,1,2,7,5,6,4]=>[7,1,5,3,2,6,4]
[3,1,2,7,6,4,5]=>[1,7,6,3,2,4,5]
[3,1,2,7,6,5,4]=>[7,6,5,1,3,2,4]
[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]
[3,1,4,2,5,7,6]=>[7,3,4,1,2,5,6]
[3,1,4,2,6,5,7]=>[6,3,4,1,2,5,7]
[3,1,4,2,6,7,5]=>[6,3,4,1,2,7,5]
[3,1,4,2,7,5,6]=>[3,7,4,1,2,5,6]
[3,1,4,2,7,6,5]=>[7,6,3,4,1,2,5]
[3,1,4,5,2,6,7]=>[3,4,1,5,2,6,7]
[3,1,4,5,2,7,6]=>[7,3,4,1,5,2,6]
[3,1,4,5,6,2,7]=>[3,4,1,5,6,2,7]
[3,1,4,5,6,7,2]=>[3,4,1,5,6,7,2]
[3,1,4,5,7,2,6]=>[3,4,1,5,2,7,6]
[3,1,4,5,7,6,2]=>[7,3,4,1,5,6,2]
[3,1,4,6,2,5,7]=>[3,4,1,2,6,5,7]
[3,1,4,6,2,7,5]=>[6,3,4,1,7,2,5]
[3,1,4,6,5,2,7]=>[6,3,4,1,5,2,7]
[3,1,4,6,5,7,2]=>[6,3,4,1,5,7,2]
[3,1,4,6,7,2,5]=>[3,4,1,2,6,7,5]
[3,1,4,6,7,5,2]=>[6,3,4,1,7,5,2]
[3,1,4,7,2,5,6]=>[3,4,1,2,5,7,6]
[3,1,4,7,2,6,5]=>[7,3,4,1,2,6,5]
[3,1,4,7,5,2,6]=>[3,7,4,1,5,2,6]
[3,1,4,7,5,6,2]=>[3,7,4,1,5,6,2]
[3,1,4,7,6,2,5]=>[3,7,4,1,2,6,5]
[3,1,4,7,6,5,2]=>[7,6,3,4,1,5,2]
[3,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]
[3,1,5,2,4,7,6]=>[7,3,1,5,2,4,6]
[3,1,5,2,6,4,7]=>[5,3,6,1,2,4,7]
[3,1,5,2,6,7,4]=>[5,3,6,1,2,7,4]
[3,1,5,2,7,4,6]=>[5,3,1,7,2,4,6]
[3,1,5,2,7,6,4]=>[7,5,3,6,1,2,4]
[3,1,5,4,2,6,7]=>[5,3,4,1,2,6,7]
[3,1,5,4,2,7,6]=>[7,5,3,4,1,2,6]
[3,1,5,4,6,2,7]=>[5,3,4,1,6,2,7]
[3,1,5,4,6,7,2]=>[5,3,4,1,6,7,2]
[3,1,5,4,7,2,6]=>[5,3,4,1,2,7,6]
[3,1,5,4,7,6,2]=>[7,5,3,4,1,6,2]
[3,1,5,6,2,4,7]=>[3,1,5,2,6,4,7]
[3,1,5,6,2,7,4]=>[5,3,6,1,7,2,4]
[3,1,5,6,4,2,7]=>[5,3,6,1,4,2,7]
[3,1,5,6,4,7,2]=>[5,3,6,1,4,7,2]
[3,1,5,6,7,2,4]=>[3,1,5,2,6,7,4]
[3,1,5,6,7,4,2]=>[5,3,6,1,7,4,2]
[3,1,5,7,2,4,6]=>[3,1,5,2,4,7,6]
[3,1,5,7,2,6,4]=>[5,3,7,1,2,6,4]
[3,1,5,7,4,2,6]=>[5,3,1,7,4,2,6]
[3,1,5,7,4,6,2]=>[5,3,4,1,7,6,2]
[3,1,5,7,6,2,4]=>[3,7,1,5,2,6,4]
[3,1,5,7,6,4,2]=>[7,5,3,6,1,4,2]
[3,1,6,2,4,5,7]=>[3,1,2,6,4,5,7]
[3,1,6,2,4,7,5]=>[6,3,1,7,2,4,5]
[3,1,6,2,5,4,7]=>[6,3,1,5,2,4,7]
[3,1,6,2,5,7,4]=>[6,3,1,5,2,7,4]
[3,1,6,2,7,4,5]=>[3,6,1,7,2,4,5]
[3,1,6,2,7,5,4]=>[6,7,3,5,1,2,4]
[3,1,6,4,2,5,7]=>[3,6,4,1,2,5,7]
[3,1,6,4,2,7,5]=>[6,7,3,4,1,2,5]
[3,1,6,4,5,2,7]=>[3,6,4,1,5,2,7]
[3,1,6,4,5,7,2]=>[3,6,4,1,5,7,2]
[3,1,6,4,7,2,5]=>[3,6,4,1,2,7,5]
[3,1,6,4,7,5,2]=>[6,7,3,4,1,5,2]
[3,1,6,5,2,4,7]=>[3,6,1,5,2,4,7]
[3,1,6,5,2,7,4]=>[6,5,3,7,1,2,4]
[3,1,6,5,4,2,7]=>[6,5,3,4,1,2,7]
[3,1,6,5,4,7,2]=>[6,5,3,4,1,7,2]
[3,1,6,5,7,2,4]=>[3,6,1,5,2,7,4]
[3,1,6,5,7,4,2]=>[6,5,3,7,1,4,2]
[3,1,6,7,2,4,5]=>[3,1,2,6,4,7,5]
[3,1,6,7,2,5,4]=>[6,3,1,7,2,5,4]
[3,1,6,7,4,2,5]=>[3,6,1,7,4,2,5]
[3,1,6,7,4,5,2]=>[3,6,4,1,7,5,2]
[3,1,6,7,5,2,4]=>[3,6,1,7,2,5,4]
[3,1,6,7,5,4,2]=>[6,7,3,5,1,4,2]
[3,1,7,2,4,5,6]=>[3,1,2,4,7,5,6]
[3,1,7,2,4,6,5]=>[7,3,1,2,6,4,5]
[3,1,7,2,5,4,6]=>[3,7,1,5,2,4,6]
[3,1,7,2,5,6,4]=>[7,3,1,2,5,6,4]
[3,1,7,2,6,4,5]=>[3,7,1,2,6,4,5]
[3,1,7,2,6,5,4]=>[7,6,3,1,5,2,4]
[3,1,7,4,2,5,6]=>[3,4,7,1,2,5,6]
[3,1,7,4,2,6,5]=>[7,3,6,4,1,2,5]
[3,1,7,4,5,2,6]=>[3,4,7,1,5,2,6]
[3,1,7,4,5,6,2]=>[3,7,1,4,5,6,2]
[3,1,7,4,6,2,5]=>[3,4,7,1,2,6,5]
[3,1,7,4,6,5,2]=>[7,3,6,4,1,5,2]
[3,1,7,5,2,4,6]=>[3,1,7,5,2,4,6]
[3,1,7,5,2,6,4]=>[7,3,5,6,1,2,4]
[3,1,7,5,4,2,6]=>[5,7,3,4,1,2,6]
[3,1,7,5,4,6,2]=>[5,7,3,4,1,6,2]
[3,1,7,5,6,2,4]=>[3,1,7,5,2,6,4]
[3,1,7,5,6,4,2]=>[7,3,5,6,1,4,2]
[3,1,7,6,2,4,5]=>[3,1,7,2,6,4,5]
[3,1,7,6,2,5,4]=>[7,3,6,1,5,2,4]
[3,1,7,6,4,2,5]=>[3,7,6,4,1,2,5]
[3,1,7,6,4,5,2]=>[3,7,6,4,1,5,2]
[3,1,7,6,5,2,4]=>[3,7,6,1,5,2,4]
[3,1,7,6,5,4,2]=>[7,6,5,3,4,1,2]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[3,2,1,4,5,7,6]=>[7,3,2,1,4,5,6]
[3,2,1,4,6,5,7]=>[6,3,2,1,4,5,7]
[3,2,1,4,6,7,5]=>[6,3,2,1,4,7,5]
[3,2,1,4,7,5,6]=>[3,7,2,1,4,5,6]
[3,2,1,4,7,6,5]=>[7,6,3,2,1,4,5]
[3,2,1,5,4,6,7]=>[5,3,2,1,4,6,7]
[3,2,1,5,4,7,6]=>[7,5,3,2,1,4,6]
[3,2,1,5,6,4,7]=>[5,3,2,1,6,4,7]
[3,2,1,5,6,7,4]=>[5,3,2,1,6,7,4]
[3,2,1,5,7,4,6]=>[5,3,2,1,4,7,6]
[3,2,1,5,7,6,4]=>[7,5,3,2,1,6,4]
[3,2,1,6,4,5,7]=>[3,6,2,1,4,5,7]
[3,2,1,6,4,7,5]=>[6,7,3,2,1,4,5]
[3,2,1,6,5,4,7]=>[6,5,3,2,1,4,7]
[3,2,1,6,5,7,4]=>[6,5,3,2,1,7,4]
[3,2,1,6,7,4,5]=>[3,6,2,1,4,7,5]
[3,2,1,6,7,5,4]=>[6,7,3,2,1,5,4]
[3,2,1,7,4,5,6]=>[3,2,7,1,4,5,6]
[3,2,1,7,4,6,5]=>[7,3,6,2,1,4,5]
[3,2,1,7,5,4,6]=>[5,7,3,2,1,4,6]
[3,2,1,7,5,6,4]=>[7,3,5,2,1,6,4]
[3,2,1,7,6,4,5]=>[3,7,6,2,1,4,5]
[3,2,1,7,6,5,4]=>[7,6,5,3,2,1,4]
[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]
[3,2,4,1,5,7,6]=>[7,3,2,4,1,5,6]
[3,2,4,1,6,5,7]=>[6,3,2,4,1,5,7]
[3,2,4,1,6,7,5]=>[6,3,2,4,1,7,5]
[3,2,4,1,7,5,6]=>[3,7,2,4,1,5,6]
[3,2,4,1,7,6,5]=>[7,6,3,2,4,1,5]
[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]
[3,2,4,5,1,7,6]=>[7,3,2,4,5,1,6]
[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]
[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]
[3,2,4,5,7,1,6]=>[3,2,4,5,1,7,6]
[3,2,4,5,7,6,1]=>[7,3,2,4,5,6,1]
[3,2,4,6,1,5,7]=>[3,2,4,1,6,5,7]
[3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]
[3,2,4,6,5,1,7]=>[6,3,2,4,5,1,7]
[3,2,4,6,5,7,1]=>[6,3,2,4,5,7,1]
[3,2,4,6,7,1,5]=>[3,2,4,1,6,7,5]
[3,2,4,6,7,5,1]=>[6,3,2,4,7,5,1]
[3,2,4,7,1,5,6]=>[3,2,4,1,5,7,6]
[3,2,4,7,1,6,5]=>[7,3,2,4,1,6,5]
[3,2,4,7,5,1,6]=>[3,7,2,4,5,1,6]
[3,2,4,7,5,6,1]=>[3,7,2,4,5,6,1]
[3,2,4,7,6,1,5]=>[3,7,2,4,1,6,5]
[3,2,4,7,6,5,1]=>[7,6,3,2,4,5,1]
[3,2,5,1,4,6,7]=>[3,2,1,5,4,6,7]
[3,2,5,1,4,7,6]=>[7,3,2,1,5,4,6]
[3,2,5,1,6,4,7]=>[5,3,2,6,1,4,7]
[3,2,5,1,6,7,4]=>[5,3,2,6,1,7,4]
[3,2,5,1,7,4,6]=>[5,3,2,1,7,4,6]
[3,2,5,1,7,6,4]=>[7,5,3,2,6,1,4]
[3,2,5,4,1,6,7]=>[5,3,2,4,1,6,7]
[3,2,5,4,1,7,6]=>[7,5,3,2,4,1,6]
[3,2,5,4,6,1,7]=>[5,3,2,4,6,1,7]
[3,2,5,4,6,7,1]=>[5,3,2,4,6,7,1]
[3,2,5,4,7,1,6]=>[5,3,2,4,1,7,6]
[3,2,5,4,7,6,1]=>[7,5,3,2,4,6,1]
[3,2,5,6,1,4,7]=>[3,2,1,5,6,4,7]
[3,2,5,6,1,7,4]=>[5,3,2,6,7,1,4]
[3,2,5,6,4,1,7]=>[5,3,2,6,4,1,7]
[3,2,5,6,4,7,1]=>[5,3,2,6,4,7,1]
[3,2,5,6,7,1,4]=>[3,2,1,5,6,7,4]
[3,2,5,6,7,4,1]=>[5,3,2,6,7,4,1]
[3,2,5,7,1,4,6]=>[3,2,1,5,4,7,6]
[3,2,5,7,1,6,4]=>[5,3,2,7,1,6,4]
[3,2,5,7,4,1,6]=>[5,3,2,4,7,1,6]
[3,2,5,7,4,6,1]=>[5,3,2,4,7,6,1]
[3,2,5,7,6,1,4]=>[3,7,2,1,5,6,4]
[3,2,5,7,6,4,1]=>[7,5,3,2,6,4,1]
[3,2,6,1,4,5,7]=>[3,2,1,4,6,5,7]
[3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5]
[3,2,6,1,5,4,7]=>[6,3,2,1,5,4,7]
[3,2,6,1,5,7,4]=>[6,3,2,1,5,7,4]
[3,2,6,1,7,4,5]=>[3,6,2,1,7,4,5]
[3,2,6,1,7,5,4]=>[6,7,3,2,5,1,4]
[3,2,6,4,1,5,7]=>[3,6,2,4,1,5,7]
[3,2,6,4,1,7,5]=>[6,7,3,2,4,1,5]
[3,2,6,4,5,1,7]=>[3,6,2,4,5,1,7]
[3,2,6,4,5,7,1]=>[3,6,2,4,5,7,1]
[3,2,6,4,7,1,5]=>[3,6,2,4,1,7,5]
[3,2,6,4,7,5,1]=>[6,7,3,2,4,5,1]
[3,2,6,5,1,4,7]=>[3,6,2,1,5,4,7]
[3,2,6,5,1,7,4]=>[6,5,3,2,7,1,4]
[3,2,6,5,4,1,7]=>[6,5,3,2,4,1,7]
[3,2,6,5,4,7,1]=>[6,5,3,2,4,7,1]
[3,2,6,5,7,1,4]=>[3,6,2,1,5,7,4]
[3,2,6,5,7,4,1]=>[6,5,3,2,7,4,1]
[3,2,6,7,1,4,5]=>[3,2,1,4,6,7,5]
[3,2,6,7,1,5,4]=>[6,3,2,1,7,5,4]
[3,2,6,7,4,1,5]=>[3,6,2,4,7,1,5]
[3,2,6,7,4,5,1]=>[3,6,2,4,7,5,1]
[3,2,6,7,5,1,4]=>[3,6,2,1,7,5,4]
[3,2,6,7,5,4,1]=>[6,7,3,2,5,4,1]
[3,2,7,1,4,5,6]=>[3,2,1,4,5,7,6]
[3,2,7,1,4,6,5]=>[7,3,2,1,4,6,5]
[3,2,7,1,5,4,6]=>[3,7,2,1,5,4,6]
[3,2,7,1,5,6,4]=>[5,3,2,1,7,6,4]
[3,2,7,1,6,4,5]=>[3,7,2,1,4,6,5]
[3,2,7,1,6,5,4]=>[7,6,3,2,1,5,4]
[3,2,7,4,1,5,6]=>[3,2,7,4,1,5,6]
[3,2,7,4,1,6,5]=>[7,3,6,2,4,1,5]
[3,2,7,4,5,1,6]=>[3,2,7,4,5,1,6]
[3,2,7,4,5,6,1]=>[3,2,7,4,5,6,1]
[3,2,7,4,6,1,5]=>[3,2,7,4,1,6,5]
[3,2,7,4,6,5,1]=>[7,3,6,2,4,5,1]
[3,2,7,5,1,4,6]=>[3,2,7,1,5,4,6]
[3,2,7,5,1,6,4]=>[7,3,5,2,6,1,4]
[3,2,7,5,4,1,6]=>[5,7,3,2,4,1,6]
[3,2,7,5,4,6,1]=>[5,7,3,2,4,6,1]
[3,2,7,5,6,1,4]=>[3,2,7,1,5,6,4]
[3,2,7,5,6,4,1]=>[7,3,5,2,6,4,1]
[3,2,7,6,1,4,5]=>[3,2,7,1,4,6,5]
[3,2,7,6,1,5,4]=>[7,3,6,2,1,5,4]
[3,2,7,6,4,1,5]=>[3,7,6,2,4,1,5]
[3,2,7,6,4,5,1]=>[3,7,6,2,4,5,1]
[3,2,7,6,5,1,4]=>[3,7,6,2,1,5,4]
[3,2,7,6,5,4,1]=>[7,6,5,3,2,4,1]
[3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7]
[3,4,1,2,5,7,6]=>[7,1,3,4,2,5,6]
[3,4,1,2,6,5,7]=>[6,1,3,4,2,5,7]
[3,4,1,2,6,7,5]=>[6,1,3,4,2,7,5]
[3,4,1,2,7,5,6]=>[1,7,3,4,2,5,6]
[3,4,1,2,7,6,5]=>[7,6,1,3,4,2,5]
[3,4,1,5,2,6,7]=>[3,4,5,1,2,6,7]
[3,4,1,5,2,7,6]=>[7,3,4,5,1,2,6]
[3,4,1,5,6,2,7]=>[3,4,5,1,6,2,7]
[3,4,1,5,6,7,2]=>[3,4,5,1,6,7,2]
[3,4,1,5,7,2,6]=>[3,4,5,1,2,7,6]
[3,4,1,5,7,6,2]=>[7,3,4,5,1,6,2]
[3,4,1,6,2,5,7]=>[3,4,1,6,2,5,7]
[3,4,1,6,2,7,5]=>[6,3,4,7,1,2,5]
[3,4,1,6,5,2,7]=>[6,3,4,5,1,2,7]
[3,4,1,6,5,7,2]=>[6,3,4,5,1,7,2]
[3,4,1,6,7,2,5]=>[3,4,1,6,2,7,5]
[3,4,1,6,7,5,2]=>[6,3,4,7,1,5,2]
[3,4,1,7,2,5,6]=>[3,4,1,2,7,5,6]
[3,4,1,7,2,6,5]=>[7,3,4,1,6,2,5]
[3,4,1,7,5,2,6]=>[3,7,4,5,1,2,6]
[3,4,1,7,5,6,2]=>[3,7,4,5,1,6,2]
[3,4,1,7,6,2,5]=>[3,7,4,1,6,2,5]
[3,4,1,7,6,5,2]=>[7,6,3,4,5,1,2]
[3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]
[3,4,2,1,5,7,6]=>[7,3,4,2,1,5,6]
[3,4,2,1,6,5,7]=>[6,3,4,2,1,5,7]
[3,4,2,1,6,7,5]=>[6,3,4,2,1,7,5]
[3,4,2,1,7,5,6]=>[3,7,4,2,1,5,6]
[3,4,2,1,7,6,5]=>[7,6,3,4,2,1,5]
[3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]
[3,4,2,5,1,7,6]=>[7,3,4,2,5,1,6]
[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]
[3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]
[3,4,2,5,7,1,6]=>[3,4,2,5,1,7,6]
[3,4,2,5,7,6,1]=>[7,3,4,2,5,6,1]
[3,4,2,6,1,5,7]=>[3,4,2,1,6,5,7]
[3,4,2,6,1,7,5]=>[6,3,4,2,7,1,5]
[3,4,2,6,5,1,7]=>[6,3,4,2,5,1,7]
[3,4,2,6,5,7,1]=>[6,3,4,2,5,7,1]
[3,4,2,6,7,1,5]=>[3,4,2,1,6,7,5]
[3,4,2,6,7,5,1]=>[6,3,4,2,7,5,1]
[3,4,2,7,1,5,6]=>[3,4,2,1,5,7,6]
[3,4,2,7,1,6,5]=>[7,3,4,2,1,6,5]
[3,4,2,7,5,1,6]=>[3,7,4,2,5,1,6]
[3,4,2,7,5,6,1]=>[3,7,4,2,5,6,1]
[3,4,2,7,6,1,5]=>[3,7,4,2,1,6,5]
[3,4,2,7,6,5,1]=>[7,6,3,4,2,5,1]
[3,4,5,1,2,6,7]=>[1,3,4,5,2,6,7]
[3,4,5,1,2,7,6]=>[7,1,3,4,5,2,6]
[3,4,5,1,6,2,7]=>[3,4,5,6,1,2,7]
[3,4,5,1,6,7,2]=>[3,4,5,6,1,7,2]
[3,4,5,1,7,2,6]=>[3,4,5,1,7,2,6]
[3,4,5,1,7,6,2]=>[7,3,4,5,6,1,2]
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]
[3,4,5,2,1,7,6]=>[7,3,4,5,2,1,6]
[3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]
[3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]
[3,4,5,2,7,1,6]=>[3,4,5,2,1,7,6]
[3,4,5,2,7,6,1]=>[7,3,4,5,2,6,1]
[3,4,5,6,1,2,7]=>[1,3,4,5,6,2,7]
[3,4,5,6,1,7,2]=>[3,4,5,6,7,1,2]
[3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]
[3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]
[3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2]
[3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]
[3,4,5,7,1,2,6]=>[1,3,4,5,2,7,6]
[3,4,5,7,1,6,2]=>[3,4,5,7,1,6,2]
[3,4,5,7,2,1,6]=>[3,4,5,2,7,1,6]
[3,4,5,7,2,6,1]=>[3,4,5,2,7,6,1]
[3,4,5,7,6,1,2]=>[1,7,3,4,5,6,2]
[3,4,5,7,6,2,1]=>[7,3,4,5,6,2,1]
[3,4,6,1,2,5,7]=>[1,3,4,2,6,5,7]
[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]
[3,4,6,1,5,2,7]=>[3,4,6,1,5,2,7]
[3,4,6,1,5,7,2]=>[3,4,6,1,5,7,2]
[3,4,6,1,7,2,5]=>[3,4,1,6,7,2,5]
[3,4,6,1,7,5,2]=>[6,3,4,7,5,1,2]
[3,4,6,2,1,5,7]=>[3,4,2,6,1,5,7]
[3,4,6,2,1,7,5]=>[6,3,4,7,2,1,5]
[3,4,6,2,5,1,7]=>[3,4,2,6,5,1,7]
[3,4,6,2,5,7,1]=>[3,4,2,6,5,7,1]
[3,4,6,2,7,1,5]=>[3,4,2,6,1,7,5]
[3,4,6,2,7,5,1]=>[6,3,4,7,2,5,1]
[3,4,6,5,1,2,7]=>[1,6,3,4,5,2,7]
[3,4,6,5,1,7,2]=>[6,3,4,5,7,1,2]
[3,4,6,5,2,1,7]=>[6,3,4,5,2,1,7]
[3,4,6,5,2,7,1]=>[6,3,4,5,2,7,1]
[3,4,6,5,7,1,2]=>[1,6,3,4,5,7,2]
[3,4,6,5,7,2,1]=>[6,3,4,5,7,2,1]
[3,4,6,7,1,2,5]=>[1,3,4,2,6,7,5]
[3,4,6,7,1,5,2]=>[3,4,6,1,7,5,2]
[3,4,6,7,2,1,5]=>[3,4,2,6,7,1,5]
[3,4,6,7,2,5,1]=>[3,4,2,6,7,5,1]
[3,4,6,7,5,1,2]=>[1,6,3,4,7,5,2]
[3,4,6,7,5,2,1]=>[6,3,4,7,5,2,1]
[3,4,7,1,2,5,6]=>[1,3,4,2,5,7,6]
[3,4,7,1,2,6,5]=>[7,1,3,4,2,6,5]
[3,4,7,1,5,2,6]=>[3,4,1,7,5,2,6]
[3,4,7,1,5,6,2]=>[3,4,5,1,7,6,2]
[3,4,7,1,6,2,5]=>[3,4,1,7,2,6,5]
[3,4,7,1,6,5,2]=>[7,3,4,6,1,5,2]
[3,4,7,2,1,5,6]=>[3,4,2,1,7,5,6]
[3,4,7,2,1,6,5]=>[7,3,4,2,6,1,5]
[3,4,7,2,5,1,6]=>[3,4,2,5,7,1,6]
[3,4,7,2,5,6,1]=>[3,4,2,5,7,6,1]
[3,4,7,2,6,1,5]=>[3,4,2,1,7,6,5]
[3,4,7,2,6,5,1]=>[7,3,4,2,6,5,1]
[3,4,7,5,1,2,6]=>[1,3,7,4,5,2,6]
[3,4,7,5,1,6,2]=>[3,7,4,5,6,1,2]
[3,4,7,5,2,1,6]=>[3,7,4,5,2,1,6]
[3,4,7,5,2,6,1]=>[3,7,4,5,2,6,1]
[3,4,7,5,6,1,2]=>[1,3,7,4,5,6,2]
[3,4,7,5,6,2,1]=>[3,7,4,5,6,2,1]
[3,4,7,6,1,2,5]=>[1,3,7,4,2,6,5]
[3,4,7,6,1,5,2]=>[3,7,4,6,1,5,2]
[3,4,7,6,2,1,5]=>[3,7,4,2,6,1,5]
[3,4,7,6,2,5,1]=>[3,7,4,2,6,5,1]
[3,4,7,6,5,1,2]=>[1,7,6,3,4,5,2]
[3,4,7,6,5,2,1]=>[7,6,3,4,5,2,1]
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]
[3,5,1,2,4,7,6]=>[7,1,3,2,5,4,6]
[3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]
[3,5,1,2,6,7,4]=>[5,1,3,6,2,7,4]
[3,5,1,2,7,4,6]=>[5,1,3,2,7,4,6]
[3,5,1,2,7,6,4]=>[7,5,1,3,6,2,4]
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]
[3,5,1,4,2,7,6]=>[7,3,5,1,4,2,6]
[3,5,1,4,6,2,7]=>[3,5,1,4,6,2,7]
[3,5,1,4,6,7,2]=>[3,5,1,4,6,7,2]
[3,5,1,4,7,2,6]=>[3,5,1,4,2,7,6]
[3,5,1,4,7,6,2]=>[7,3,5,1,4,6,2]
[3,5,1,6,2,4,7]=>[3,1,5,6,2,4,7]
[3,5,1,6,2,7,4]=>[5,3,6,7,1,2,4]
[3,5,1,6,4,2,7]=>[5,3,6,4,1,2,7]
[3,5,1,6,4,7,2]=>[5,3,6,4,1,7,2]
[3,5,1,6,7,2,4]=>[3,1,5,6,2,7,4]
[3,5,1,6,7,4,2]=>[5,3,6,7,1,4,2]
[3,5,1,7,2,4,6]=>[3,1,5,2,7,4,6]
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]
[3,5,1,7,4,2,6]=>[5,3,4,7,1,2,6]
[3,5,1,7,4,6,2]=>[5,3,7,1,4,6,2]
[3,5,1,7,6,2,4]=>[3,7,1,5,6,2,4]
[3,5,1,7,6,4,2]=>[7,5,3,6,4,1,2]
[3,5,2,1,4,6,7]=>[3,2,5,1,4,6,7]
[3,5,2,1,4,7,6]=>[7,3,2,5,1,4,6]
[3,5,2,1,6,4,7]=>[5,3,6,2,1,4,7]
[3,5,2,1,6,7,4]=>[5,3,6,2,1,7,4]
[3,5,2,1,7,4,6]=>[5,3,2,7,1,4,6]
[3,5,2,1,7,6,4]=>[7,5,3,6,2,1,4]
[3,5,2,4,1,6,7]=>[3,2,5,4,1,6,7]
[3,5,2,4,1,7,6]=>[7,3,2,5,4,1,6]
[3,5,2,4,6,1,7]=>[3,2,5,4,6,1,7]
[3,5,2,4,6,7,1]=>[3,2,5,4,6,7,1]
[3,5,2,4,7,1,6]=>[3,2,5,4,1,7,6]
[3,5,2,4,7,6,1]=>[7,3,2,5,4,6,1]
[3,5,2,6,1,4,7]=>[3,2,5,1,6,4,7]
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]
[3,5,2,6,4,1,7]=>[5,3,6,2,4,1,7]
[3,5,2,6,4,7,1]=>[5,3,6,2,4,7,1]
[3,5,2,6,7,1,4]=>[3,2,5,1,6,7,4]
[3,5,2,6,7,4,1]=>[5,3,6,2,7,4,1]
[3,5,2,7,1,4,6]=>[3,2,5,1,4,7,6]
[3,5,2,7,1,6,4]=>[5,3,7,2,1,6,4]
[3,5,2,7,4,1,6]=>[5,3,2,7,4,1,6]
[3,5,2,7,4,6,1]=>[5,3,2,7,4,6,1]
[3,5,2,7,6,1,4]=>[3,7,2,5,1,6,4]
[3,5,2,7,6,4,1]=>[7,5,3,6,2,4,1]
[3,5,4,1,2,6,7]=>[1,5,3,4,2,6,7]
[3,5,4,1,2,7,6]=>[7,1,5,3,4,2,6]
[3,5,4,1,6,2,7]=>[5,3,4,6,1,2,7]
[3,5,4,1,6,7,2]=>[5,3,4,6,1,7,2]
[3,5,4,1,7,2,6]=>[5,3,4,1,7,2,6]
[3,5,4,1,7,6,2]=>[7,5,3,4,6,1,2]
[3,5,4,2,1,6,7]=>[5,3,4,2,1,6,7]
[3,5,4,2,1,7,6]=>[7,5,3,4,2,1,6]
[3,5,4,2,6,1,7]=>[5,3,4,2,6,1,7]
[3,5,4,2,6,7,1]=>[5,3,4,2,6,7,1]
[3,5,4,2,7,1,6]=>[5,3,4,2,1,7,6]
[3,5,4,2,7,6,1]=>[7,5,3,4,2,6,1]
[3,5,4,6,1,2,7]=>[1,5,3,4,6,2,7]
[3,5,4,6,1,7,2]=>[5,3,4,6,7,1,2]
[3,5,4,6,2,1,7]=>[5,3,4,6,2,1,7]
[3,5,4,6,2,7,1]=>[5,3,4,6,2,7,1]
[3,5,4,6,7,1,2]=>[1,5,3,4,6,7,2]
[3,5,4,6,7,2,1]=>[5,3,4,6,7,2,1]
[3,5,4,7,1,2,6]=>[1,5,3,4,2,7,6]
[3,5,4,7,1,6,2]=>[5,3,4,7,1,6,2]
[3,5,4,7,2,1,6]=>[5,3,4,2,7,1,6]
[3,5,4,7,2,6,1]=>[5,3,4,2,7,6,1]
[3,5,4,7,6,1,2]=>[1,7,5,3,4,6,2]
[3,5,4,7,6,2,1]=>[7,5,3,4,6,2,1]
[3,5,6,1,2,4,7]=>[1,3,2,5,6,4,7]
[3,5,6,1,2,7,4]=>[5,1,3,6,7,2,4]
[3,5,6,1,4,2,7]=>[3,5,1,6,4,2,7]
[3,5,6,1,4,7,2]=>[3,5,1,6,4,7,2]
[3,5,6,1,7,2,4]=>[3,1,5,6,7,2,4]
[3,5,6,1,7,4,2]=>[5,3,6,7,4,1,2]
[3,5,6,2,1,4,7]=>[3,2,5,6,1,4,7]
[3,5,6,2,1,7,4]=>[5,3,6,7,2,1,4]
[3,5,6,2,4,1,7]=>[3,2,5,6,4,1,7]
[3,5,6,2,4,7,1]=>[3,2,5,6,4,7,1]
[3,5,6,2,7,1,4]=>[3,2,5,6,1,7,4]
[3,5,6,2,7,4,1]=>[5,3,6,7,2,4,1]
[3,5,6,4,1,2,7]=>[1,5,3,6,4,2,7]
[3,5,6,4,1,7,2]=>[5,3,6,4,7,1,2]
[3,5,6,4,2,1,7]=>[5,3,6,4,2,1,7]
[3,5,6,4,2,7,1]=>[5,3,6,4,2,7,1]
[3,5,6,4,7,1,2]=>[1,5,3,6,4,7,2]
[3,5,6,4,7,2,1]=>[5,3,6,4,7,2,1]
[3,5,6,7,1,2,4]=>[1,3,2,5,6,7,4]
[3,5,6,7,1,4,2]=>[3,5,1,6,7,4,2]
[3,5,6,7,2,1,4]=>[3,2,5,6,7,1,4]
[3,5,6,7,2,4,1]=>[3,2,5,6,7,4,1]
[3,5,6,7,4,1,2]=>[1,5,3,6,7,4,2]
[3,5,6,7,4,2,1]=>[5,3,6,7,4,2,1]
[3,5,7,1,2,4,6]=>[1,3,2,5,4,7,6]
[3,5,7,1,2,6,4]=>[5,1,3,7,2,6,4]
[3,5,7,1,4,2,6]=>[3,5,1,4,7,2,6]
[3,5,7,1,4,6,2]=>[3,5,1,4,7,6,2]
[3,5,7,1,6,2,4]=>[3,1,5,7,2,6,4]
[3,5,7,1,6,4,2]=>[5,3,7,6,1,4,2]
[3,5,7,2,1,4,6]=>[3,2,5,1,7,4,6]
[3,5,7,2,1,6,4]=>[5,3,7,2,6,1,4]
[3,5,7,2,4,1,6]=>[3,2,5,4,7,1,6]
[3,5,7,2,4,6,1]=>[3,2,5,4,7,6,1]
[3,5,7,2,6,1,4]=>[3,2,5,1,7,6,4]
[3,5,7,2,6,4,1]=>[5,3,7,2,6,4,1]
[3,5,7,4,1,2,6]=>[1,5,3,4,7,2,6]
[3,5,7,4,1,6,2]=>[5,3,4,7,6,1,2]
[3,5,7,4,2,1,6]=>[5,3,4,7,2,1,6]
[3,5,7,4,2,6,1]=>[5,3,4,7,2,6,1]
[3,5,7,4,6,1,2]=>[1,5,3,4,7,6,2]
[3,5,7,4,6,2,1]=>[5,3,4,7,6,2,1]
[3,5,7,6,1,2,4]=>[1,3,7,2,5,6,4]
[3,5,7,6,1,4,2]=>[3,7,5,1,6,4,2]
[3,5,7,6,2,1,4]=>[3,7,2,5,6,1,4]
[3,5,7,6,2,4,1]=>[3,7,2,5,6,4,1]
[3,5,7,6,4,1,2]=>[1,7,5,3,6,4,2]
[3,5,7,6,4,2,1]=>[7,5,3,6,4,2,1]
[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]
[3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]
[3,6,1,2,5,4,7]=>[6,1,3,2,5,4,7]
[3,6,1,2,5,7,4]=>[6,1,3,2,5,7,4]
[3,6,1,2,7,4,5]=>[1,6,3,2,7,4,5]
[3,6,1,2,7,5,4]=>[6,7,1,3,5,2,4]
[3,6,1,4,2,5,7]=>[3,1,6,4,2,5,7]
[3,6,1,4,2,7,5]=>[6,3,7,1,4,2,5]
[3,6,1,4,5,2,7]=>[3,4,1,6,5,2,7]
[3,6,1,4,5,7,2]=>[3,4,1,6,5,7,2]
[3,6,1,4,7,2,5]=>[3,1,6,4,2,7,5]
[3,6,1,4,7,5,2]=>[6,3,7,1,4,5,2]
[3,6,1,5,2,4,7]=>[3,1,6,2,5,4,7]
[3,6,1,5,2,7,4]=>[6,3,5,1,7,2,4]
[3,6,1,5,4,2,7]=>[6,3,5,1,4,2,7]
[3,6,1,5,4,7,2]=>[6,3,5,1,4,7,2]
[3,6,1,5,7,2,4]=>[3,1,6,2,5,7,4]
[3,6,1,5,7,4,2]=>[6,3,5,1,7,4,2]
[3,6,1,7,2,4,5]=>[3,1,2,6,7,4,5]
[3,6,1,7,2,5,4]=>[6,3,1,7,5,2,4]
[3,6,1,7,4,2,5]=>[3,6,4,7,1,2,5]
[3,6,1,7,4,5,2]=>[3,6,7,1,4,5,2]
[3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]
[3,6,1,7,5,4,2]=>[6,7,3,5,4,1,2]
[3,6,2,1,4,5,7]=>[3,2,1,6,4,5,7]
[3,6,2,1,4,7,5]=>[6,3,2,7,1,4,5]
[3,6,2,1,5,4,7]=>[6,3,2,5,1,4,7]
[3,6,2,1,5,7,4]=>[6,3,2,5,1,7,4]
[3,6,2,1,7,4,5]=>[3,6,2,7,1,4,5]
[3,6,2,1,7,5,4]=>[6,7,3,5,2,1,4]
[3,6,2,4,1,5,7]=>[3,2,4,6,1,5,7]
[3,6,2,4,1,7,5]=>[6,3,2,7,4,1,5]
[3,6,2,4,5,1,7]=>[3,2,4,6,5,1,7]
[3,6,2,4,5,7,1]=>[3,2,4,6,5,7,1]
[3,6,2,4,7,1,5]=>[3,2,4,6,1,7,5]
[3,6,2,4,7,5,1]=>[6,3,2,7,4,5,1]
[3,6,2,5,1,4,7]=>[3,2,1,6,5,4,7]
[3,6,2,5,1,7,4]=>[6,3,2,5,7,1,4]
[3,6,2,5,4,1,7]=>[6,3,2,5,4,1,7]
[3,6,2,5,4,7,1]=>[6,3,2,5,4,7,1]
[3,6,2,5,7,1,4]=>[3,2,1,6,5,7,4]
[3,6,2,5,7,4,1]=>[6,3,2,5,7,4,1]
[3,6,2,7,1,4,5]=>[3,2,1,6,4,7,5]
[3,6,2,7,1,5,4]=>[6,3,2,7,1,5,4]
[3,6,2,7,4,1,5]=>[3,6,2,7,4,1,5]
[3,6,2,7,4,5,1]=>[3,6,2,7,4,5,1]
[3,6,2,7,5,1,4]=>[3,6,2,7,1,5,4]
[3,6,2,7,5,4,1]=>[6,7,3,5,2,4,1]
[3,6,4,1,2,5,7]=>[1,3,6,4,2,5,7]
[3,6,4,1,2,7,5]=>[6,1,7,3,4,2,5]
[3,6,4,1,5,2,7]=>[3,6,4,5,1,2,7]
[3,6,4,1,5,7,2]=>[3,6,4,5,1,7,2]
[3,6,4,1,7,2,5]=>[3,6,4,1,7,2,5]
[3,6,4,1,7,5,2]=>[6,7,3,4,5,1,2]
[3,6,4,2,1,5,7]=>[3,6,4,2,1,5,7]
[3,6,4,2,1,7,5]=>[6,7,3,4,2,1,5]
[3,6,4,2,5,1,7]=>[3,6,4,2,5,1,7]
[3,6,4,2,5,7,1]=>[3,6,4,2,5,7,1]
[3,6,4,2,7,1,5]=>[3,6,4,2,1,7,5]
[3,6,4,2,7,5,1]=>[6,7,3,4,2,5,1]
[3,6,4,5,1,2,7]=>[1,3,6,4,5,2,7]
[3,6,4,5,1,7,2]=>[3,6,4,5,7,1,2]
[3,6,4,5,2,1,7]=>[3,6,4,5,2,1,7]
[3,6,4,5,2,7,1]=>[3,6,4,5,2,7,1]
[3,6,4,5,7,1,2]=>[1,3,6,4,5,7,2]
[3,6,4,5,7,2,1]=>[3,6,4,5,7,2,1]
[3,6,4,7,1,2,5]=>[1,3,6,4,2,7,5]
[3,6,4,7,1,5,2]=>[3,6,4,7,1,5,2]
[3,6,4,7,2,1,5]=>[3,6,4,2,7,1,5]
[3,6,4,7,2,5,1]=>[3,6,4,2,7,5,1]
[3,6,4,7,5,1,2]=>[1,6,7,3,4,5,2]
[3,6,4,7,5,2,1]=>[6,7,3,4,5,2,1]
[3,6,5,1,2,4,7]=>[1,3,6,2,5,4,7]
[3,6,5,1,2,7,4]=>[6,1,5,3,7,2,4]
[3,6,5,1,4,2,7]=>[3,6,5,1,4,2,7]
[3,6,5,1,4,7,2]=>[3,6,5,1,4,7,2]
[3,6,5,1,7,2,4]=>[3,6,1,5,7,2,4]
[3,6,5,1,7,4,2]=>[6,5,3,7,4,1,2]
[3,6,5,2,1,4,7]=>[3,6,2,5,1,4,7]
[3,6,5,2,1,7,4]=>[6,5,3,7,2,1,4]
[3,6,5,2,4,1,7]=>[3,6,2,5,4,1,7]
[3,6,5,2,4,7,1]=>[3,6,2,5,4,7,1]
[3,6,5,2,7,1,4]=>[3,6,2,5,1,7,4]
[3,6,5,2,7,4,1]=>[6,5,3,7,2,4,1]
[3,6,5,4,1,2,7]=>[1,6,5,3,4,2,7]
[3,6,5,4,1,7,2]=>[6,5,3,4,7,1,2]
[3,6,5,4,2,1,7]=>[6,5,3,4,2,1,7]
[3,6,5,4,2,7,1]=>[6,5,3,4,2,7,1]
[3,6,5,4,7,1,2]=>[1,6,5,3,4,7,2]
[3,6,5,4,7,2,1]=>[6,5,3,4,7,2,1]
[3,6,5,7,1,2,4]=>[1,3,6,2,5,7,4]
[3,6,5,7,1,4,2]=>[3,6,5,1,7,4,2]
[3,6,5,7,2,1,4]=>[3,6,2,5,7,1,4]
[3,6,5,7,2,4,1]=>[3,6,2,5,7,4,1]
[3,6,5,7,4,1,2]=>[1,6,5,3,7,4,2]
[3,6,5,7,4,2,1]=>[6,5,3,7,4,2,1]
[3,6,7,1,2,4,5]=>[1,3,2,4,6,7,5]
[3,6,7,1,2,5,4]=>[6,1,3,2,7,5,4]
[3,6,7,1,4,2,5]=>[3,1,6,4,7,2,5]
[3,6,7,1,4,5,2]=>[3,4,1,6,7,5,2]
[3,6,7,1,5,2,4]=>[3,1,6,2,7,5,4]
[3,6,7,1,5,4,2]=>[6,3,7,1,5,4,2]
[3,6,7,2,1,4,5]=>[3,2,1,6,7,4,5]
[3,6,7,2,1,5,4]=>[6,3,2,7,5,1,4]
[3,6,7,2,4,1,5]=>[3,2,4,6,7,1,5]
[3,6,7,2,4,5,1]=>[3,2,4,6,7,5,1]
[3,6,7,2,5,1,4]=>[3,2,1,6,7,5,4]
[3,6,7,2,5,4,1]=>[6,3,2,7,5,4,1]
[3,6,7,4,1,2,5]=>[1,3,6,4,7,2,5]
[3,6,7,4,1,5,2]=>[3,6,4,7,5,1,2]
[3,6,7,4,2,1,5]=>[3,6,4,7,2,1,5]
[3,6,7,4,2,5,1]=>[3,6,4,7,2,5,1]
[3,6,7,4,5,1,2]=>[1,3,6,4,7,5,2]
[3,6,7,4,5,2,1]=>[3,6,4,7,5,2,1]
[3,6,7,5,1,2,4]=>[1,3,6,2,7,5,4]
[3,6,7,5,1,4,2]=>[3,6,7,1,5,4,2]
[3,6,7,5,2,1,4]=>[3,6,2,7,5,1,4]
[3,6,7,5,2,4,1]=>[3,6,2,7,5,4,1]
[3,6,7,5,4,1,2]=>[1,6,7,3,5,4,2]
[3,6,7,5,4,2,1]=>[6,7,3,5,4,2,1]
[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]
[3,7,1,2,4,6,5]=>[7,1,3,2,4,6,5]
[3,7,1,2,5,4,6]=>[1,7,3,2,5,4,6]
[3,7,1,2,5,6,4]=>[5,1,3,2,7,6,4]
[3,7,1,2,6,4,5]=>[1,7,3,2,4,6,5]
[3,7,1,2,6,5,4]=>[7,6,1,3,2,5,4]
[3,7,1,4,2,5,6]=>[3,1,4,7,2,5,6]
[3,7,1,4,2,6,5]=>[7,3,1,6,4,2,5]
[3,7,1,4,5,2,6]=>[3,4,1,5,7,2,6]
[3,7,1,4,5,6,2]=>[3,4,1,5,7,6,2]
[3,7,1,4,6,2,5]=>[3,4,1,2,7,6,5]
[3,7,1,4,6,5,2]=>[7,3,4,1,6,5,2]
[3,7,1,5,2,4,6]=>[3,1,2,7,5,4,6]
[3,7,1,5,2,6,4]=>[7,3,1,5,6,2,4]
[3,7,1,5,4,2,6]=>[3,7,5,1,4,2,6]
[3,7,1,5,4,6,2]=>[3,7,5,1,4,6,2]
[3,7,1,5,6,2,4]=>[3,1,5,2,7,6,4]
[3,7,1,5,6,4,2]=>[5,3,7,1,6,4,2]
[3,7,1,6,2,4,5]=>[3,1,2,7,4,6,5]
[3,7,1,6,2,5,4]=>[7,3,1,6,2,5,4]
[3,7,1,6,4,2,5]=>[3,7,1,6,4,2,5]
[3,7,1,6,4,5,2]=>[3,7,4,1,6,5,2]
[3,7,1,6,5,2,4]=>[3,7,1,6,2,5,4]
[3,7,1,6,5,4,2]=>[7,6,3,5,1,4,2]
[3,7,2,1,4,5,6]=>[3,2,1,4,7,5,6]
[3,7,2,1,4,6,5]=>[7,3,2,1,6,4,5]
[3,7,2,1,5,4,6]=>[3,7,2,5,1,4,6]
[3,7,2,1,5,6,4]=>[7,3,2,1,5,6,4]
[3,7,2,1,6,4,5]=>[3,7,2,1,6,4,5]
[3,7,2,1,6,5,4]=>[7,6,3,2,5,1,4]
[3,7,2,4,1,5,6]=>[3,2,4,1,7,5,6]
[3,7,2,4,1,6,5]=>[7,3,2,4,6,1,5]
[3,7,2,4,5,1,6]=>[3,2,4,5,7,1,6]
[3,7,2,4,5,6,1]=>[3,2,4,5,7,6,1]
[3,7,2,4,6,1,5]=>[3,2,4,1,7,6,5]
[3,7,2,4,6,5,1]=>[7,3,2,4,6,5,1]
[3,7,2,5,1,4,6]=>[3,2,1,5,7,4,6]
[3,7,2,5,1,6,4]=>[5,3,2,7,6,1,4]
[3,7,2,5,4,1,6]=>[3,7,2,5,4,1,6]
[3,7,2,5,4,6,1]=>[3,7,2,5,4,6,1]
[3,7,2,5,6,1,4]=>[3,2,1,5,7,6,4]
[3,7,2,5,6,4,1]=>[5,3,2,7,6,4,1]
[3,7,2,6,1,4,5]=>[3,2,1,4,7,6,5]
[3,7,2,6,1,5,4]=>[7,3,2,1,6,5,4]
[3,7,2,6,4,1,5]=>[3,7,2,4,6,1,5]
[3,7,2,6,4,5,1]=>[3,7,2,4,6,5,1]
[3,7,2,6,5,1,4]=>[3,7,2,1,6,5,4]
[3,7,2,6,5,4,1]=>[7,6,3,2,5,4,1]
[3,7,4,1,2,5,6]=>[1,3,4,7,2,5,6]
[3,7,4,1,2,6,5]=>[7,1,3,6,4,2,5]
[3,7,4,1,5,2,6]=>[3,4,7,5,1,2,6]
[3,7,4,1,5,6,2]=>[3,4,7,5,1,6,2]
[3,7,4,1,6,2,5]=>[3,4,7,1,6,2,5]
[3,7,4,1,6,5,2]=>[7,3,6,4,5,1,2]
[3,7,4,2,1,5,6]=>[3,4,7,2,1,5,6]
[3,7,4,2,1,6,5]=>[7,3,6,4,2,1,5]
[3,7,4,2,5,1,6]=>[3,4,7,2,5,1,6]
[3,7,4,2,5,6,1]=>[3,4,7,2,5,6,1]
[3,7,4,2,6,1,5]=>[3,4,7,2,1,6,5]
[3,7,4,2,6,5,1]=>[7,3,6,4,2,5,1]
[3,7,4,5,1,2,6]=>[1,3,4,7,5,2,6]
[3,7,4,5,1,6,2]=>[3,4,7,5,6,1,2]
[3,7,4,5,2,1,6]=>[3,4,7,5,2,1,6]
[3,7,4,5,2,6,1]=>[3,4,7,5,2,6,1]
[3,7,4,5,6,1,2]=>[1,3,4,7,5,6,2]
[3,7,4,5,6,2,1]=>[3,4,7,5,6,2,1]
[3,7,4,6,1,2,5]=>[1,3,4,7,2,6,5]
[3,7,4,6,1,5,2]=>[3,4,7,6,1,5,2]
[3,7,4,6,2,1,5]=>[3,4,7,2,6,1,5]
[3,7,4,6,2,5,1]=>[3,4,7,2,6,5,1]
[3,7,4,6,5,1,2]=>[1,7,3,6,4,5,2]
[3,7,4,6,5,2,1]=>[7,3,6,4,5,2,1]
[3,7,5,1,2,4,6]=>[1,3,2,7,5,4,6]
[3,7,5,1,2,6,4]=>[7,1,3,5,6,2,4]
[3,7,5,1,4,2,6]=>[3,5,7,1,4,2,6]
[3,7,5,1,4,6,2]=>[3,7,1,5,4,6,2]
[3,7,5,1,6,2,4]=>[3,1,7,5,6,2,4]
[3,7,5,1,6,4,2]=>[7,3,5,6,4,1,2]
[3,7,5,2,1,4,6]=>[3,2,7,5,1,4,6]
[3,7,5,2,1,6,4]=>[7,3,5,6,2,1,4]
[3,7,5,2,4,1,6]=>[3,2,7,5,4,1,6]
[3,7,5,2,4,6,1]=>[3,2,7,5,4,6,1]
[3,7,5,2,6,1,4]=>[3,2,7,5,1,6,4]
[3,7,5,2,6,4,1]=>[7,3,5,6,2,4,1]
[3,7,5,4,1,2,6]=>[1,5,7,3,4,2,6]
[3,7,5,4,1,6,2]=>[5,7,3,4,6,1,2]
[3,7,5,4,2,1,6]=>[5,7,3,4,2,1,6]
[3,7,5,4,2,6,1]=>[5,7,3,4,2,6,1]
[3,7,5,4,6,1,2]=>[1,5,7,3,4,6,2]
[3,7,5,4,6,2,1]=>[5,7,3,4,6,2,1]
[3,7,5,6,1,2,4]=>[1,3,2,7,5,6,4]
[3,7,5,6,1,4,2]=>[3,7,1,5,6,4,2]
[3,7,5,6,2,1,4]=>[3,2,7,5,6,1,4]
[3,7,5,6,2,4,1]=>[3,2,7,5,6,4,1]
[3,7,5,6,4,1,2]=>[1,7,3,5,6,4,2]
[3,7,5,6,4,2,1]=>[7,3,5,6,4,2,1]
[3,7,6,1,2,4,5]=>[1,3,2,7,4,6,5]
[3,7,6,1,2,5,4]=>[7,1,3,6,2,5,4]
[3,7,6,1,4,2,5]=>[3,1,7,6,4,2,5]
[3,7,6,1,4,5,2]=>[3,7,1,4,6,5,2]
[3,7,6,1,5,2,4]=>[3,1,7,6,2,5,4]
[3,7,6,1,5,4,2]=>[7,3,6,5,1,4,2]
[3,7,6,2,1,4,5]=>[3,2,7,1,6,4,5]
[3,7,6,2,1,5,4]=>[7,3,6,2,5,1,4]
[3,7,6,2,4,1,5]=>[3,2,7,4,6,1,5]
[3,7,6,2,4,5,1]=>[3,2,7,4,6,5,1]
[3,7,6,2,5,1,4]=>[3,2,7,1,6,5,4]
[3,7,6,2,5,4,1]=>[7,3,6,2,5,4,1]
[3,7,6,4,1,2,5]=>[1,3,7,6,4,2,5]
[3,7,6,4,1,5,2]=>[3,7,6,4,5,1,2]
[3,7,6,4,2,1,5]=>[3,7,6,4,2,1,5]
[3,7,6,4,2,5,1]=>[3,7,6,4,2,5,1]
[3,7,6,4,5,1,2]=>[1,3,7,6,4,5,2]
[3,7,6,4,5,2,1]=>[3,7,6,4,5,2,1]
[3,7,6,5,1,2,4]=>[1,3,7,6,2,5,4]
[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]
[3,7,6,5,2,1,4]=>[3,7,6,2,5,1,4]
[3,7,6,5,2,4,1]=>[3,7,6,2,5,4,1]
[3,7,6,5,4,1,2]=>[1,7,6,5,3,4,2]
[3,7,6,5,4,2,1]=>[7,6,5,3,4,2,1]
[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]
[4,1,2,3,5,7,6]=>[7,1,2,4,3,5,6]
[4,1,2,3,6,5,7]=>[6,1,2,4,3,5,7]
[4,1,2,3,6,7,5]=>[6,1,2,4,3,7,5]
[4,1,2,3,7,5,6]=>[1,7,2,4,3,5,6]
[4,1,2,3,7,6,5]=>[7,6,1,2,4,3,5]
[4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]
[4,1,2,5,3,7,6]=>[7,4,1,5,2,3,6]
[4,1,2,5,6,3,7]=>[4,1,5,2,6,3,7]
[4,1,2,5,6,7,3]=>[4,1,5,2,6,7,3]
[4,1,2,5,7,3,6]=>[4,1,5,2,3,7,6]
[4,1,2,5,7,6,3]=>[7,4,1,5,2,6,3]
[4,1,2,6,3,5,7]=>[4,1,2,6,3,5,7]
[4,1,2,6,3,7,5]=>[6,4,1,7,2,3,5]
[4,1,2,6,5,3,7]=>[6,4,1,5,2,3,7]
[4,1,2,6,5,7,3]=>[6,4,1,5,2,7,3]
[4,1,2,6,7,3,5]=>[4,1,2,6,3,7,5]
[4,1,2,6,7,5,3]=>[6,4,1,7,2,5,3]
[4,1,2,7,3,5,6]=>[4,1,2,3,7,5,6]
[4,1,2,7,3,6,5]=>[7,4,1,2,6,3,5]
[4,1,2,7,5,3,6]=>[4,7,1,5,2,3,6]
[4,1,2,7,5,6,3]=>[7,1,4,5,2,6,3]
[4,1,2,7,6,3,5]=>[4,7,1,2,6,3,5]
[4,1,2,7,6,5,3]=>[7,6,4,1,5,2,3]
[4,1,3,2,5,6,7]=>[4,1,3,2,5,6,7]
[4,1,3,2,5,7,6]=>[7,4,1,3,2,5,6]
[4,1,3,2,6,5,7]=>[6,4,1,3,2,5,7]
[4,1,3,2,6,7,5]=>[6,4,1,3,2,7,5]
[4,1,3,2,7,5,6]=>[4,7,1,3,2,5,6]
[4,1,3,2,7,6,5]=>[7,6,4,1,3,2,5]
[4,1,3,5,2,6,7]=>[4,1,3,5,2,6,7]
[4,1,3,5,2,7,6]=>[7,4,1,3,5,2,6]
[4,1,3,5,6,2,7]=>[4,1,3,5,6,2,7]
[4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]
[4,1,3,5,7,2,6]=>[4,1,3,5,2,7,6]
[4,1,3,5,7,6,2]=>[7,4,1,3,5,6,2]
[4,1,3,6,2,5,7]=>[4,1,3,2,6,5,7]
[4,1,3,6,2,7,5]=>[6,4,1,3,7,2,5]
[4,1,3,6,5,2,7]=>[6,4,1,3,5,2,7]
[4,1,3,6,5,7,2]=>[6,4,1,3,5,7,2]
[4,1,3,6,7,2,5]=>[4,1,3,2,6,7,5]
[4,1,3,6,7,5,2]=>[6,4,1,3,7,5,2]
[4,1,3,7,2,5,6]=>[4,1,3,2,5,7,6]
[4,1,3,7,2,6,5]=>[7,4,1,3,2,6,5]
[4,1,3,7,5,2,6]=>[4,7,1,3,5,2,6]
[4,1,3,7,5,6,2]=>[7,1,4,3,5,6,2]
[4,1,3,7,6,2,5]=>[4,7,1,3,2,6,5]
[4,1,3,7,6,5,2]=>[7,6,4,1,3,5,2]
[4,1,5,2,3,6,7]=>[1,4,5,2,3,6,7]
[4,1,5,2,3,7,6]=>[7,1,4,5,2,3,6]
[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]
[4,1,5,2,6,7,3]=>[4,5,6,1,2,7,3]
[4,1,5,2,7,3,6]=>[4,5,1,7,2,3,6]
[4,1,5,2,7,6,3]=>[7,4,5,6,1,2,3]
[4,1,5,3,2,6,7]=>[4,5,3,1,2,6,7]
[4,1,5,3,2,7,6]=>[7,4,5,3,1,2,6]
[4,1,5,3,6,2,7]=>[4,5,3,1,6,2,7]
[4,1,5,3,6,7,2]=>[4,5,3,1,6,7,2]
[4,1,5,3,7,2,6]=>[4,5,3,1,2,7,6]
[4,1,5,3,7,6,2]=>[7,4,5,3,1,6,2]
[4,1,5,6,2,3,7]=>[1,4,5,2,6,3,7]
[4,1,5,6,2,7,3]=>[4,5,6,1,7,2,3]
[4,1,5,6,3,2,7]=>[4,5,6,1,3,2,7]
[4,1,5,6,3,7,2]=>[4,5,6,1,3,7,2]
[4,1,5,6,7,2,3]=>[1,4,5,2,6,7,3]
[4,1,5,6,7,3,2]=>[4,5,6,1,7,3,2]
[4,1,5,7,2,3,6]=>[1,4,5,2,3,7,6]
[4,1,5,7,2,6,3]=>[4,5,7,1,2,6,3]
[4,1,5,7,3,2,6]=>[4,5,1,7,3,2,6]
[4,1,5,7,3,6,2]=>[4,5,3,1,7,6,2]
[4,1,5,7,6,2,3]=>[1,7,4,5,2,6,3]
[4,1,5,7,6,3,2]=>[7,4,5,6,1,3,2]
[4,1,6,2,3,5,7]=>[1,4,2,6,3,5,7]
[4,1,6,2,3,7,5]=>[6,1,4,7,2,3,5]
[4,1,6,2,5,3,7]=>[4,6,1,5,2,3,7]
[4,1,6,2,5,7,3]=>[4,6,1,5,2,7,3]
[4,1,6,2,7,3,5]=>[4,1,6,7,2,3,5]
[4,1,6,2,7,5,3]=>[6,4,7,5,1,2,3]
[4,1,6,3,2,5,7]=>[4,3,6,1,2,5,7]
[4,1,6,3,2,7,5]=>[6,4,7,3,1,2,5]
[4,1,6,3,5,2,7]=>[4,6,1,3,5,2,7]
[4,1,6,3,5,7,2]=>[4,6,1,3,5,7,2]
[4,1,6,3,7,2,5]=>[4,3,6,1,2,7,5]
[4,1,6,3,7,5,2]=>[6,4,7,3,1,5,2]
[4,1,6,5,2,3,7]=>[1,6,4,5,2,3,7]
[4,1,6,5,2,7,3]=>[6,4,5,7,1,2,3]
[4,1,6,5,3,2,7]=>[6,4,5,3,1,2,7]
[4,1,6,5,3,7,2]=>[6,4,5,3,1,7,2]
[4,1,6,5,7,2,3]=>[1,6,4,5,2,7,3]
[4,1,6,5,7,3,2]=>[6,4,5,7,1,3,2]
[4,1,6,7,2,3,5]=>[1,4,2,6,3,7,5]
[4,1,6,7,2,5,3]=>[4,6,1,7,2,5,3]
[4,1,6,7,3,2,5]=>[4,1,6,7,3,2,5]
[4,1,6,7,3,5,2]=>[4,6,1,3,7,5,2]
[4,1,6,7,5,2,3]=>[1,6,4,7,2,5,3]
[4,1,6,7,5,3,2]=>[6,4,7,5,1,3,2]
[4,1,7,2,3,5,6]=>[1,4,2,3,7,5,6]
[4,1,7,2,3,6,5]=>[7,1,4,2,6,3,5]
[4,1,7,2,5,3,6]=>[4,1,7,5,2,3,6]
[4,1,7,2,5,6,3]=>[4,7,1,2,5,6,3]
[4,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]
[4,1,7,2,6,5,3]=>[7,4,6,1,5,2,3]
[4,1,7,3,2,5,6]=>[4,3,1,7,2,5,6]
[4,1,7,3,2,6,5]=>[7,4,3,6,1,2,5]
[4,1,7,3,5,2,6]=>[4,1,7,3,5,2,6]
[4,1,7,3,5,6,2]=>[4,3,1,7,5,6,2]
[4,1,7,3,6,2,5]=>[4,1,7,3,2,6,5]
[4,1,7,3,6,5,2]=>[7,4,6,1,3,5,2]
[4,1,7,5,2,3,6]=>[1,4,7,5,2,3,6]
[4,1,7,5,2,6,3]=>[4,7,5,6,1,2,3]
[4,1,7,5,3,2,6]=>[4,7,5,3,1,2,6]
[4,1,7,5,3,6,2]=>[4,7,5,3,1,6,2]
[4,1,7,5,6,2,3]=>[1,4,7,5,2,6,3]
[4,1,7,5,6,3,2]=>[4,7,5,6,1,3,2]
[4,1,7,6,2,3,5]=>[1,4,7,2,6,3,5]
[4,1,7,6,2,5,3]=>[4,7,6,1,5,2,3]
[4,1,7,6,3,2,5]=>[4,7,3,6,1,2,5]
[4,1,7,6,3,5,2]=>[4,7,6,1,3,5,2]
[4,1,7,6,5,2,3]=>[1,7,6,4,5,2,3]
[4,1,7,6,5,3,2]=>[7,6,4,5,3,1,2]
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]
[4,2,1,3,5,7,6]=>[7,2,4,1,3,5,6]
[4,2,1,3,6,5,7]=>[6,2,4,1,3,5,7]
[4,2,1,3,6,7,5]=>[6,2,4,1,3,7,5]
[4,2,1,3,7,5,6]=>[2,7,4,1,3,5,6]
[4,2,1,3,7,6,5]=>[7,6,2,4,1,3,5]
[4,2,1,5,3,6,7]=>[4,5,2,1,3,6,7]
[4,2,1,5,3,7,6]=>[7,4,5,2,1,3,6]
[4,2,1,5,6,3,7]=>[4,5,2,1,6,3,7]
[4,2,1,5,6,7,3]=>[4,5,2,1,6,7,3]
[4,2,1,5,7,3,6]=>[4,5,2,1,3,7,6]
[4,2,1,5,7,6,3]=>[7,4,5,2,1,6,3]
[4,2,1,6,3,5,7]=>[4,2,6,1,3,5,7]
[4,2,1,6,3,7,5]=>[6,4,7,2,1,3,5]
[4,2,1,6,5,3,7]=>[6,4,5,2,1,3,7]
[4,2,1,6,5,7,3]=>[6,4,5,2,1,7,3]
[4,2,1,6,7,3,5]=>[4,2,6,1,3,7,5]
[4,2,1,6,7,5,3]=>[6,4,7,2,1,5,3]
[4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]
[4,2,1,7,3,6,5]=>[7,4,2,6,1,3,5]
[4,2,1,7,5,3,6]=>[4,7,5,2,1,3,6]
[4,2,1,7,5,6,3]=>[4,7,5,2,1,6,3]
[4,2,1,7,6,3,5]=>[4,7,2,6,1,3,5]
[4,2,1,7,6,5,3]=>[7,6,4,5,2,1,3]
[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]
[4,2,3,1,5,7,6]=>[7,2,4,3,1,5,6]
[4,2,3,1,6,5,7]=>[6,2,4,3,1,5,7]
[4,2,3,1,6,7,5]=>[6,2,4,3,1,7,5]
[4,2,3,1,7,5,6]=>[2,7,4,3,1,5,6]
[4,2,3,1,7,6,5]=>[7,6,2,4,3,1,5]
[4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]
[4,2,3,5,1,7,6]=>[7,2,4,3,5,1,6]
[4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]
[4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]
[4,2,3,5,7,1,6]=>[2,4,3,5,1,7,6]
[4,2,3,5,7,6,1]=>[7,2,4,3,5,6,1]
[4,2,3,6,1,5,7]=>[2,4,3,1,6,5,7]
[4,2,3,6,1,7,5]=>[6,2,4,3,7,1,5]
[4,2,3,6,5,1,7]=>[6,2,4,3,5,1,7]
[4,2,3,6,5,7,1]=>[6,2,4,3,5,7,1]
[4,2,3,6,7,1,5]=>[2,4,3,1,6,7,5]
[4,2,3,6,7,5,1]=>[6,2,4,3,7,5,1]
[4,2,3,7,1,5,6]=>[2,4,3,1,5,7,6]
[4,2,3,7,1,6,5]=>[7,2,4,3,1,6,5]
[4,2,3,7,5,1,6]=>[2,7,4,3,5,1,6]
[4,2,3,7,5,6,1]=>[2,7,4,3,5,6,1]
[4,2,3,7,6,1,5]=>[2,7,4,3,1,6,5]
[4,2,3,7,6,5,1]=>[7,6,2,4,3,5,1]
[4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]
[4,2,5,1,3,7,6]=>[7,2,4,1,5,3,6]
[4,2,5,1,6,3,7]=>[4,5,2,6,1,3,7]
[4,2,5,1,6,7,3]=>[4,5,2,6,1,7,3]
[4,2,5,1,7,3,6]=>[4,5,2,1,7,3,6]
[4,2,5,1,7,6,3]=>[7,4,5,2,6,1,3]
[4,2,5,3,1,6,7]=>[4,5,2,3,1,6,7]
[4,2,5,3,1,7,6]=>[7,4,5,2,3,1,6]
[4,2,5,3,6,1,7]=>[4,5,2,3,6,1,7]
[4,2,5,3,6,7,1]=>[4,5,2,3,6,7,1]
[4,2,5,3,7,1,6]=>[4,5,2,3,1,7,6]
[4,2,5,3,7,6,1]=>[7,4,5,2,3,6,1]
[4,2,5,6,1,3,7]=>[2,4,1,5,6,3,7]
[4,2,5,6,1,7,3]=>[4,5,2,6,7,1,3]
[4,2,5,6,3,1,7]=>[4,5,2,6,3,1,7]
[4,2,5,6,3,7,1]=>[4,5,2,6,3,7,1]
[4,2,5,6,7,1,3]=>[2,4,1,5,6,7,3]
[4,2,5,6,7,3,1]=>[4,5,2,6,7,3,1]
[4,2,5,7,1,3,6]=>[2,4,1,5,3,7,6]
[4,2,5,7,1,6,3]=>[4,5,2,7,1,6,3]
[4,2,5,7,3,1,6]=>[4,5,2,3,7,1,6]
[4,2,5,7,3,6,1]=>[4,5,2,3,7,6,1]
[4,2,5,7,6,1,3]=>[2,7,4,1,5,6,3]
[4,2,5,7,6,3,1]=>[7,4,5,2,6,3,1]
[4,2,6,1,3,5,7]=>[2,4,1,3,6,5,7]
[4,2,6,1,3,7,5]=>[6,2,4,1,7,3,5]
[4,2,6,1,5,3,7]=>[4,6,2,1,5,3,7]
[4,2,6,1,5,7,3]=>[4,6,2,1,5,7,3]
[4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]
[4,2,6,1,7,5,3]=>[6,4,7,2,5,1,3]
[4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]
[4,2,6,3,1,7,5]=>[6,4,7,2,3,1,5]
[4,2,6,3,5,1,7]=>[4,2,6,3,5,1,7]
[4,2,6,3,5,7,1]=>[4,2,6,3,5,7,1]
[4,2,6,3,7,1,5]=>[4,2,6,3,1,7,5]
[4,2,6,3,7,5,1]=>[6,4,7,2,3,5,1]
[4,2,6,5,1,3,7]=>[2,6,4,1,5,3,7]
[4,2,6,5,1,7,3]=>[6,4,5,2,7,1,3]
[4,2,6,5,3,1,7]=>[6,4,5,2,3,1,7]
[4,2,6,5,3,7,1]=>[6,4,5,2,3,7,1]
[4,2,6,5,7,1,3]=>[2,6,4,1,5,7,3]
[4,2,6,5,7,3,1]=>[6,4,5,2,7,3,1]
[4,2,6,7,1,3,5]=>[2,4,1,3,6,7,5]
[4,2,6,7,1,5,3]=>[4,6,2,1,7,5,3]
[4,2,6,7,3,1,5]=>[4,2,6,3,7,1,5]
[4,2,6,7,3,5,1]=>[4,2,6,3,7,5,1]
[4,2,6,7,5,1,3]=>[2,6,4,1,7,5,3]
[4,2,6,7,5,3,1]=>[6,4,7,2,5,3,1]
[4,2,7,1,3,5,6]=>[2,4,1,3,5,7,6]
[4,2,7,1,3,6,5]=>[7,2,4,1,3,6,5]
[4,2,7,1,5,3,6]=>[4,2,7,1,5,3,6]
[4,2,7,1,5,6,3]=>[4,5,2,1,7,6,3]
[4,2,7,1,6,3,5]=>[4,2,7,1,3,6,5]
[4,2,7,1,6,5,3]=>[7,4,6,2,1,5,3]
[4,2,7,3,1,5,6]=>[4,2,3,7,1,5,6]
[4,2,7,3,1,6,5]=>[7,4,2,6,3,1,5]
[4,2,7,3,5,1,6]=>[4,2,3,7,5,1,6]
[4,2,7,3,5,6,1]=>[4,2,3,7,5,6,1]
[4,2,7,3,6,1,5]=>[4,2,3,7,1,6,5]
[4,2,7,3,6,5,1]=>[7,4,2,6,3,5,1]
[4,2,7,5,1,3,6]=>[2,4,7,1,5,3,6]
[4,2,7,5,1,6,3]=>[4,7,5,2,6,1,3]
[4,2,7,5,3,1,6]=>[4,7,5,2,3,1,6]
[4,2,7,5,3,6,1]=>[4,7,5,2,3,6,1]
[4,2,7,5,6,1,3]=>[2,4,7,1,5,6,3]
[4,2,7,5,6,3,1]=>[4,7,5,2,6,3,1]
[4,2,7,6,1,3,5]=>[2,4,7,1,3,6,5]
[4,2,7,6,1,5,3]=>[4,7,6,2,1,5,3]
[4,2,7,6,3,1,5]=>[4,7,2,6,3,1,5]
[4,2,7,6,3,5,1]=>[4,7,2,6,3,5,1]
[4,2,7,6,5,1,3]=>[2,7,6,4,1,5,3]
[4,2,7,6,5,3,1]=>[7,6,4,5,2,3,1]
[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]
[4,3,1,2,5,7,6]=>[7,1,4,3,2,5,6]
[4,3,1,2,6,5,7]=>[6,1,4,3,2,5,7]
[4,3,1,2,6,7,5]=>[6,1,4,3,2,7,5]
[4,3,1,2,7,5,6]=>[1,7,4,3,2,5,6]
[4,3,1,2,7,6,5]=>[7,6,1,4,3,2,5]
[4,3,1,5,2,6,7]=>[4,3,5,1,2,6,7]
[4,3,1,5,2,7,6]=>[7,4,3,5,1,2,6]
[4,3,1,5,6,2,7]=>[4,3,5,1,6,2,7]
[4,3,1,5,6,7,2]=>[4,3,5,1,6,7,2]
[4,3,1,5,7,2,6]=>[4,3,5,1,2,7,6]
[4,3,1,5,7,6,2]=>[7,4,3,5,1,6,2]
[4,3,1,6,2,5,7]=>[4,3,1,6,2,5,7]
[4,3,1,6,2,7,5]=>[6,4,3,7,1,2,5]
[4,3,1,6,5,2,7]=>[6,4,3,5,1,2,7]
[4,3,1,6,5,7,2]=>[6,4,3,5,1,7,2]
[4,3,1,6,7,2,5]=>[4,3,1,6,2,7,5]
[4,3,1,6,7,5,2]=>[6,4,3,7,1,5,2]
[4,3,1,7,2,5,6]=>[4,3,1,2,7,5,6]
[4,3,1,7,2,6,5]=>[7,4,3,1,6,2,5]
[4,3,1,7,5,2,6]=>[4,7,3,5,1,2,6]
[4,3,1,7,5,6,2]=>[4,7,3,5,1,6,2]
[4,3,1,7,6,2,5]=>[4,7,3,1,6,2,5]
[4,3,1,7,6,5,2]=>[7,6,4,3,5,1,2]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]
[4,3,2,1,5,7,6]=>[7,4,3,2,1,5,6]
[4,3,2,1,6,5,7]=>[6,4,3,2,1,5,7]
[4,3,2,1,6,7,5]=>[6,4,3,2,1,7,5]
[4,3,2,1,7,5,6]=>[4,7,3,2,1,5,6]
[4,3,2,1,7,6,5]=>[7,6,4,3,2,1,5]
[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]
[4,3,2,5,1,7,6]=>[7,4,3,2,5,1,6]
[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]
[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]
[4,3,2,5,7,1,6]=>[4,3,2,5,1,7,6]
[4,3,2,5,7,6,1]=>[7,4,3,2,5,6,1]
[4,3,2,6,1,5,7]=>[4,3,2,1,6,5,7]
[4,3,2,6,1,7,5]=>[6,4,3,2,7,1,5]
[4,3,2,6,5,1,7]=>[6,4,3,2,5,1,7]
[4,3,2,6,5,7,1]=>[6,4,3,2,5,7,1]
[4,3,2,6,7,1,5]=>[4,3,2,1,6,7,5]
[4,3,2,6,7,5,1]=>[6,4,3,2,7,5,1]
[4,3,2,7,1,5,6]=>[4,3,2,1,5,7,6]
[4,3,2,7,1,6,5]=>[7,4,3,2,1,6,5]
[4,3,2,7,5,1,6]=>[4,7,3,2,5,1,6]
[4,3,2,7,5,6,1]=>[4,7,3,2,5,6,1]
[4,3,2,7,6,1,5]=>[4,7,3,2,1,6,5]
[4,3,2,7,6,5,1]=>[7,6,4,3,2,5,1]
[4,3,5,1,2,6,7]=>[1,4,3,5,2,6,7]
[4,3,5,1,2,7,6]=>[7,1,4,3,5,2,6]
[4,3,5,1,6,2,7]=>[4,3,5,6,1,2,7]
[4,3,5,1,6,7,2]=>[4,3,5,6,1,7,2]
[4,3,5,1,7,2,6]=>[4,3,5,1,7,2,6]
[4,3,5,1,7,6,2]=>[7,4,3,5,6,1,2]
[4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]
[4,3,5,2,1,7,6]=>[7,4,3,5,2,1,6]
[4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]
[4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]
[4,3,5,2,7,1,6]=>[4,3,5,2,1,7,6]
[4,3,5,2,7,6,1]=>[7,4,3,5,2,6,1]
[4,3,5,6,1,2,7]=>[1,4,3,5,6,2,7]
[4,3,5,6,1,7,2]=>[4,3,5,6,7,1,2]
[4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]
[4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]
[4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2]
[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]
[4,3,5,7,1,2,6]=>[1,4,3,5,2,7,6]
[4,3,5,7,1,6,2]=>[4,3,5,7,1,6,2]
[4,3,5,7,2,1,6]=>[4,3,5,2,7,1,6]
[4,3,5,7,2,6,1]=>[4,3,5,2,7,6,1]
[4,3,5,7,6,1,2]=>[1,7,4,3,5,6,2]
[4,3,5,7,6,2,1]=>[7,4,3,5,6,2,1]
[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]
[4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]
[4,3,6,1,5,2,7]=>[4,3,6,1,5,2,7]
[4,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]
[4,3,6,1,7,2,5]=>[4,3,1,6,7,2,5]
[4,3,6,1,7,5,2]=>[6,4,3,7,5,1,2]
[4,3,6,2,1,5,7]=>[4,3,2,6,1,5,7]
[4,3,6,2,1,7,5]=>[6,4,3,7,2,1,5]
[4,3,6,2,5,1,7]=>[4,3,2,6,5,1,7]
[4,3,6,2,5,7,1]=>[4,3,2,6,5,7,1]
[4,3,6,2,7,1,5]=>[4,3,2,6,1,7,5]
[4,3,6,2,7,5,1]=>[6,4,3,7,2,5,1]
[4,3,6,5,1,2,7]=>[1,6,4,3,5,2,7]
[4,3,6,5,1,7,2]=>[6,4,3,5,7,1,2]
[4,3,6,5,2,1,7]=>[6,4,3,5,2,1,7]
[4,3,6,5,2,7,1]=>[6,4,3,5,2,7,1]
[4,3,6,5,7,1,2]=>[1,6,4,3,5,7,2]
[4,3,6,5,7,2,1]=>[6,4,3,5,7,2,1]
[4,3,6,7,1,2,5]=>[1,4,3,2,6,7,5]
[4,3,6,7,1,5,2]=>[4,3,6,1,7,5,2]
[4,3,6,7,2,1,5]=>[4,3,2,6,7,1,5]
[4,3,6,7,2,5,1]=>[4,3,2,6,7,5,1]
[4,3,6,7,5,1,2]=>[1,6,4,3,7,5,2]
[4,3,6,7,5,2,1]=>[6,4,3,7,5,2,1]
[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]
[4,3,7,1,2,6,5]=>[7,1,4,3,2,6,5]
[4,3,7,1,5,2,6]=>[4,3,1,7,5,2,6]
[4,3,7,1,5,6,2]=>[4,3,5,1,7,6,2]
[4,3,7,1,6,2,5]=>[4,3,1,7,2,6,5]
[4,3,7,1,6,5,2]=>[7,4,3,6,1,5,2]
[4,3,7,2,1,5,6]=>[4,3,2,1,7,5,6]
[4,3,7,2,1,6,5]=>[7,4,3,2,6,1,5]
[4,3,7,2,5,1,6]=>[4,3,2,5,7,1,6]
[4,3,7,2,5,6,1]=>[4,3,2,5,7,6,1]
[4,3,7,2,6,1,5]=>[4,3,2,1,7,6,5]
[4,3,7,2,6,5,1]=>[7,4,3,2,6,5,1]
[4,3,7,5,1,2,6]=>[1,4,7,3,5,2,6]
[4,3,7,5,1,6,2]=>[4,7,3,5,6,1,2]
[4,3,7,5,2,1,6]=>[4,7,3,5,2,1,6]
[4,3,7,5,2,6,1]=>[4,7,3,5,2,6,1]
[4,3,7,5,6,1,2]=>[1,4,7,3,5,6,2]
[4,3,7,5,6,2,1]=>[4,7,3,5,6,2,1]
[4,3,7,6,1,2,5]=>[1,4,7,3,2,6,5]
[4,3,7,6,1,5,2]=>[4,7,3,6,1,5,2]
[4,3,7,6,2,1,5]=>[4,7,3,2,6,1,5]
[4,3,7,6,2,5,1]=>[4,7,3,2,6,5,1]
[4,3,7,6,5,1,2]=>[1,7,6,4,3,5,2]
[4,3,7,6,5,2,1]=>[7,6,4,3,5,2,1]
[4,5,1,2,3,6,7]=>[1,2,4,5,3,6,7]
[4,5,1,2,3,7,6]=>[7,1,2,4,5,3,6]
[4,5,1,2,6,3,7]=>[4,1,5,6,2,3,7]
[4,5,1,2,6,7,3]=>[4,1,5,6,2,7,3]
[4,5,1,2,7,3,6]=>[4,1,5,2,7,3,6]
[4,5,1,2,7,6,3]=>[7,4,1,5,6,2,3]
[4,5,1,3,2,6,7]=>[4,1,5,3,2,6,7]
[4,5,1,3,2,7,6]=>[7,4,1,5,3,2,6]
[4,5,1,3,6,2,7]=>[4,1,5,3,6,2,7]
[4,5,1,3,6,7,2]=>[4,1,5,3,6,7,2]
[4,5,1,3,7,2,6]=>[4,1,5,3,2,7,6]
[4,5,1,3,7,6,2]=>[7,4,1,5,3,6,2]
[4,5,1,6,2,3,7]=>[1,4,5,6,2,3,7]
[4,5,1,6,2,7,3]=>[4,5,6,7,1,2,3]
[4,5,1,6,3,2,7]=>[4,5,6,3,1,2,7]
[4,5,1,6,3,7,2]=>[4,5,6,3,1,7,2]
[4,5,1,6,7,2,3]=>[1,4,5,6,2,7,3]
[4,5,1,6,7,3,2]=>[4,5,6,7,1,3,2]
[4,5,1,7,2,3,6]=>[1,4,5,2,7,3,6]
[4,5,1,7,2,6,3]=>[4,5,7,1,6,2,3]
[4,5,1,7,3,2,6]=>[4,5,3,7,1,2,6]
[4,5,1,7,3,6,2]=>[4,5,7,1,3,6,2]
[4,5,1,7,6,2,3]=>[1,7,4,5,6,2,3]
[4,5,1,7,6,3,2]=>[7,4,5,6,3,1,2]
[4,5,2,1,3,6,7]=>[2,4,5,1,3,6,7]
[4,5,2,1,3,7,6]=>[7,2,4,5,1,3,6]
[4,5,2,1,6,3,7]=>[4,5,6,2,1,3,7]
[4,5,2,1,6,7,3]=>[4,5,6,2,1,7,3]
[4,5,2,1,7,3,6]=>[4,5,2,7,1,3,6]
[4,5,2,1,7,6,3]=>[7,4,5,6,2,1,3]
[4,5,2,3,1,6,7]=>[2,4,5,3,1,6,7]
[4,5,2,3,1,7,6]=>[7,2,4,5,3,1,6]
[4,5,2,3,6,1,7]=>[2,4,5,3,6,1,7]
[4,5,2,3,6,7,1]=>[2,4,5,3,6,7,1]
[4,5,2,3,7,1,6]=>[2,4,5,3,1,7,6]
[4,5,2,3,7,6,1]=>[7,2,4,5,3,6,1]
[4,5,2,6,1,3,7]=>[2,4,5,1,6,3,7]
[4,5,2,6,1,7,3]=>[4,5,6,2,7,1,3]
[4,5,2,6,3,1,7]=>[4,5,6,2,3,1,7]
[4,5,2,6,3,7,1]=>[4,5,6,2,3,7,1]
[4,5,2,6,7,1,3]=>[2,4,5,1,6,7,3]
[4,5,2,6,7,3,1]=>[4,5,6,2,7,3,1]
[4,5,2,7,1,3,6]=>[2,4,5,1,3,7,6]
[4,5,2,7,1,6,3]=>[4,5,7,2,1,6,3]
[4,5,2,7,3,1,6]=>[4,5,2,7,3,1,6]
[4,5,2,7,3,6,1]=>[4,5,2,7,3,6,1]
[4,5,2,7,6,1,3]=>[2,7,4,5,1,6,3]
[4,5,2,7,6,3,1]=>[7,4,5,6,2,3,1]
[4,5,3,1,2,6,7]=>[1,4,5,3,2,6,7]
[4,5,3,1,2,7,6]=>[7,1,4,5,3,2,6]
[4,5,3,1,6,2,7]=>[4,5,3,6,1,2,7]
[4,5,3,1,6,7,2]=>[4,5,3,6,1,7,2]
[4,5,3,1,7,2,6]=>[4,5,3,1,7,2,6]
[4,5,3,1,7,6,2]=>[7,4,5,3,6,1,2]
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]
[4,5,3,2,1,7,6]=>[7,4,5,3,2,1,6]
[4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]
[4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]
[4,5,3,2,7,1,6]=>[4,5,3,2,1,7,6]
[4,5,3,2,7,6,1]=>[7,4,5,3,2,6,1]
[4,5,3,6,1,2,7]=>[1,4,5,3,6,2,7]
[4,5,3,6,1,7,2]=>[4,5,3,6,7,1,2]
[4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]
[4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]
[4,5,3,6,7,1,2]=>[1,4,5,3,6,7,2]
[4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]
[4,5,3,7,1,2,6]=>[1,4,5,3,2,7,6]
[4,5,3,7,1,6,2]=>[4,5,3,7,1,6,2]
[4,5,3,7,2,1,6]=>[4,5,3,2,7,1,6]
[4,5,3,7,2,6,1]=>[4,5,3,2,7,6,1]
[4,5,3,7,6,1,2]=>[1,7,4,5,3,6,2]
[4,5,3,7,6,2,1]=>[7,4,5,3,6,2,1]
[4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7]
[4,5,6,1,2,7,3]=>[4,1,5,6,7,2,3]
[4,5,6,1,3,2,7]=>[4,1,5,6,3,2,7]
[4,5,6,1,3,7,2]=>[4,1,5,6,3,7,2]
[4,5,6,1,7,2,3]=>[1,4,5,6,7,2,3]
[4,5,6,1,7,3,2]=>[4,5,6,7,3,1,2]
[4,5,6,2,1,3,7]=>[2,4,5,6,1,3,7]
[4,5,6,2,1,7,3]=>[4,5,6,7,2,1,3]
[4,5,6,2,3,1,7]=>[2,4,5,6,3,1,7]
[4,5,6,2,3,7,1]=>[2,4,5,6,3,7,1]
[4,5,6,2,7,1,3]=>[2,4,5,6,1,7,3]
[4,5,6,2,7,3,1]=>[4,5,6,7,2,3,1]
[4,5,6,3,1,2,7]=>[1,4,5,6,3,2,7]
[4,5,6,3,1,7,2]=>[4,5,6,3,7,1,2]
[4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]
[4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]
[4,5,6,3,7,1,2]=>[1,4,5,6,3,7,2]
[4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]
[4,5,6,7,1,2,3]=>[1,2,4,5,6,7,3]
[4,5,6,7,1,3,2]=>[4,1,5,6,7,3,2]
[4,5,6,7,2,1,3]=>[2,4,5,6,7,1,3]
[4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1]
[4,5,6,7,3,1,2]=>[1,4,5,6,7,3,2]
[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]
[4,5,7,1,2,3,6]=>[1,2,4,5,3,7,6]
[4,5,7,1,2,6,3]=>[4,1,5,7,2,6,3]
[4,5,7,1,3,2,6]=>[4,1,5,3,7,2,6]
[4,5,7,1,3,6,2]=>[4,1,5,3,7,6,2]
[4,5,7,1,6,2,3]=>[1,4,5,7,2,6,3]
[4,5,7,1,6,3,2]=>[4,5,7,6,1,3,2]
[4,5,7,2,1,3,6]=>[2,4,5,1,7,3,6]
[4,5,7,2,1,6,3]=>[4,5,7,2,6,1,3]
[4,5,7,2,3,1,6]=>[2,4,5,3,7,1,6]
[4,5,7,2,3,6,1]=>[2,4,5,3,7,6,1]
[4,5,7,2,6,1,3]=>[2,4,5,1,7,6,3]
[4,5,7,2,6,3,1]=>[4,5,7,2,6,3,1]
[4,5,7,3,1,2,6]=>[1,4,5,3,7,2,6]
[4,5,7,3,1,6,2]=>[4,5,3,7,6,1,2]
[4,5,7,3,2,1,6]=>[4,5,3,7,2,1,6]
[4,5,7,3,2,6,1]=>[4,5,3,7,2,6,1]
[4,5,7,3,6,1,2]=>[1,4,5,3,7,6,2]
[4,5,7,3,6,2,1]=>[4,5,3,7,6,2,1]
[4,5,7,6,1,2,3]=>[1,2,7,4,5,6,3]
[4,5,7,6,1,3,2]=>[7,1,4,5,6,3,2]
[4,5,7,6,2,1,3]=>[2,7,4,5,6,1,3]
[4,5,7,6,2,3,1]=>[2,7,4,5,6,3,1]
[4,5,7,6,3,1,2]=>[1,7,4,5,6,3,2]
[4,5,7,6,3,2,1]=>[7,4,5,6,3,2,1]
[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]
[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]
[4,6,1,2,5,3,7]=>[4,1,6,2,5,3,7]
[4,6,1,2,5,7,3]=>[4,1,6,2,5,7,3]
[4,6,1,2,7,3,5]=>[4,1,2,6,7,3,5]
[4,6,1,2,7,5,3]=>[6,4,1,7,5,2,3]
[4,6,1,3,2,5,7]=>[4,1,3,6,2,5,7]
[4,6,1,3,2,7,5]=>[6,4,1,7,3,2,5]
[4,6,1,3,5,2,7]=>[4,1,3,6,5,2,7]
[4,6,1,3,5,7,2]=>[4,1,3,6,5,7,2]
[4,6,1,3,7,2,5]=>[4,1,3,6,2,7,5]
[4,6,1,3,7,5,2]=>[6,4,1,7,3,5,2]
[4,6,1,5,2,3,7]=>[1,4,6,2,5,3,7]
[4,6,1,5,2,7,3]=>[4,6,5,1,7,2,3]
[4,6,1,5,3,2,7]=>[4,6,5,1,3,2,7]
[4,6,1,5,3,7,2]=>[4,6,5,1,3,7,2]
[4,6,1,5,7,2,3]=>[1,4,6,2,5,7,3]
[4,6,1,5,7,3,2]=>[4,6,5,1,7,3,2]
[4,6,1,7,2,3,5]=>[1,4,2,6,7,3,5]
[4,6,1,7,2,5,3]=>[4,6,1,7,5,2,3]
[4,6,1,7,3,2,5]=>[4,3,6,7,1,2,5]
[4,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]
[4,6,1,7,5,2,3]=>[1,6,4,7,5,2,3]
[4,6,1,7,5,3,2]=>[6,4,7,5,3,1,2]
[4,6,2,1,3,5,7]=>[2,4,1,6,3,5,7]
[4,6,2,1,3,7,5]=>[6,2,4,7,1,3,5]
[4,6,2,1,5,3,7]=>[4,6,2,5,1,3,7]
[4,6,2,1,5,7,3]=>[4,6,2,5,1,7,3]
[4,6,2,1,7,3,5]=>[4,2,6,7,1,3,5]
[4,6,2,1,7,5,3]=>[6,4,7,5,2,1,3]
[4,6,2,3,1,5,7]=>[2,4,3,6,1,5,7]
[4,6,2,3,1,7,5]=>[6,2,4,7,3,1,5]
[4,6,2,3,5,1,7]=>[2,4,3,6,5,1,7]
[4,6,2,3,5,7,1]=>[2,4,3,6,5,7,1]
[4,6,2,3,7,1,5]=>[2,4,3,6,1,7,5]
[4,6,2,3,7,5,1]=>[6,2,4,7,3,5,1]
[4,6,2,5,1,3,7]=>[2,4,1,6,5,3,7]
[4,6,2,5,1,7,3]=>[4,6,2,5,7,1,3]
[4,6,2,5,3,1,7]=>[4,6,2,5,3,1,7]
[4,6,2,5,3,7,1]=>[4,6,2,5,3,7,1]
[4,6,2,5,7,1,3]=>[2,4,1,6,5,7,3]
[4,6,2,5,7,3,1]=>[4,6,2,5,7,3,1]
[4,6,2,7,1,3,5]=>[2,4,1,6,3,7,5]
[4,6,2,7,1,5,3]=>[4,6,2,7,1,5,3]
[4,6,2,7,3,1,5]=>[4,2,6,7,3,1,5]
[4,6,2,7,3,5,1]=>[4,2,6,7,3,5,1]
[4,6,2,7,5,1,3]=>[2,6,4,7,1,5,3]
[4,6,2,7,5,3,1]=>[6,4,7,5,2,3,1]
[4,6,3,1,2,5,7]=>[1,4,3,6,2,5,7]
[4,6,3,1,2,7,5]=>[6,1,4,7,3,2,5]
[4,6,3,1,5,2,7]=>[4,3,6,5,1,2,7]
[4,6,3,1,5,7,2]=>[4,3,6,5,1,7,2]
[4,6,3,1,7,2,5]=>[4,3,6,1,7,2,5]
[4,6,3,1,7,5,2]=>[6,4,7,3,5,1,2]
[4,6,3,2,1,5,7]=>[4,3,6,2,1,5,7]
[4,6,3,2,1,7,5]=>[6,4,7,3,2,1,5]
[4,6,3,2,5,1,7]=>[4,3,6,2,5,1,7]
[4,6,3,2,5,7,1]=>[4,3,6,2,5,7,1]
[4,6,3,2,7,1,5]=>[4,3,6,2,1,7,5]
[4,6,3,2,7,5,1]=>[6,4,7,3,2,5,1]
[4,6,3,5,1,2,7]=>[1,4,3,6,5,2,7]
[4,6,3,5,1,7,2]=>[4,3,6,5,7,1,2]
[4,6,3,5,2,1,7]=>[4,3,6,5,2,1,7]
[4,6,3,5,2,7,1]=>[4,3,6,5,2,7,1]
[4,6,3,5,7,1,2]=>[1,4,3,6,5,7,2]
[4,6,3,5,7,2,1]=>[4,3,6,5,7,2,1]
[4,6,3,7,1,2,5]=>[1,4,3,6,2,7,5]
[4,6,3,7,1,5,2]=>[4,3,6,7,1,5,2]
[4,6,3,7,2,1,5]=>[4,3,6,2,7,1,5]
[4,6,3,7,2,5,1]=>[4,3,6,2,7,5,1]
[4,6,3,7,5,1,2]=>[1,6,4,7,3,5,2]
[4,6,3,7,5,2,1]=>[6,4,7,3,5,2,1]
[4,6,5,1,2,3,7]=>[1,2,6,4,5,3,7]
[4,6,5,1,2,7,3]=>[6,1,4,5,7,2,3]
[4,6,5,1,3,2,7]=>[6,1,4,5,3,2,7]
[4,6,5,1,3,7,2]=>[6,1,4,5,3,7,2]
[4,6,5,1,7,2,3]=>[1,6,4,5,7,2,3]
[4,6,5,1,7,3,2]=>[6,4,5,7,3,1,2]
[4,6,5,2,1,3,7]=>[2,6,4,5,1,3,7]
[4,6,5,2,1,7,3]=>[6,4,5,7,2,1,3]
[4,6,5,2,3,1,7]=>[2,6,4,5,3,1,7]
[4,6,5,2,3,7,1]=>[2,6,4,5,3,7,1]
[4,6,5,2,7,1,3]=>[2,6,4,5,1,7,3]
[4,6,5,2,7,3,1]=>[6,4,5,7,2,3,1]
[4,6,5,3,1,2,7]=>[1,6,4,5,3,2,7]
[4,6,5,3,1,7,2]=>[6,4,5,3,7,1,2]
[4,6,5,3,2,1,7]=>[6,4,5,3,2,1,7]
[4,6,5,3,2,7,1]=>[6,4,5,3,2,7,1]
[4,6,5,3,7,1,2]=>[1,6,4,5,3,7,2]
[4,6,5,3,7,2,1]=>[6,4,5,3,7,2,1]
[4,6,5,7,1,2,3]=>[1,2,6,4,5,7,3]
[4,6,5,7,1,3,2]=>[6,1,4,5,7,3,2]
[4,6,5,7,2,1,3]=>[2,6,4,5,7,1,3]
[4,6,5,7,2,3,1]=>[2,6,4,5,7,3,1]
[4,6,5,7,3,1,2]=>[1,6,4,5,7,3,2]
[4,6,5,7,3,2,1]=>[6,4,5,7,3,2,1]
[4,6,7,1,2,3,5]=>[1,2,4,3,6,7,5]
[4,6,7,1,2,5,3]=>[4,1,6,2,7,5,3]
[4,6,7,1,3,2,5]=>[4,1,3,6,7,2,5]
[4,6,7,1,3,5,2]=>[4,1,3,6,7,5,2]
[4,6,7,1,5,2,3]=>[1,4,6,2,7,5,3]
[4,6,7,1,5,3,2]=>[4,6,7,1,5,3,2]
[4,6,7,2,1,3,5]=>[2,4,1,6,7,3,5]
[4,6,7,2,1,5,3]=>[4,6,2,7,5,1,3]
[4,6,7,2,3,1,5]=>[2,4,3,6,7,1,5]
[4,6,7,2,3,5,1]=>[2,4,3,6,7,5,1]
[4,6,7,2,5,1,3]=>[2,4,1,6,7,5,3]
[4,6,7,2,5,3,1]=>[4,6,2,7,5,3,1]
[4,6,7,3,1,2,5]=>[1,4,3,6,7,2,5]
[4,6,7,3,1,5,2]=>[4,3,6,7,5,1,2]
[4,6,7,3,2,1,5]=>[4,3,6,7,2,1,5]
[4,6,7,3,2,5,1]=>[4,3,6,7,2,5,1]
[4,6,7,3,5,1,2]=>[1,4,3,6,7,5,2]
[4,6,7,3,5,2,1]=>[4,3,6,7,5,2,1]
[4,6,7,5,1,2,3]=>[1,2,6,4,7,5,3]
[4,6,7,5,1,3,2]=>[6,1,4,7,5,3,2]
[4,6,7,5,2,1,3]=>[2,6,4,7,5,1,3]
[4,6,7,5,2,3,1]=>[2,6,4,7,5,3,1]
[4,6,7,5,3,1,2]=>[1,6,4,7,5,3,2]
[4,6,7,5,3,2,1]=>[6,4,7,5,3,2,1]
[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]
[4,7,1,2,3,6,5]=>[7,1,2,4,3,6,5]
[4,7,1,2,5,3,6]=>[4,1,2,7,5,3,6]
[4,7,1,2,5,6,3]=>[4,1,5,2,7,6,3]
[4,7,1,2,6,3,5]=>[4,1,2,7,3,6,5]
[4,7,1,2,6,5,3]=>[7,4,1,6,2,5,3]
[4,7,1,3,2,5,6]=>[4,1,3,2,7,5,6]
[4,7,1,3,2,6,5]=>[7,4,1,3,6,2,5]
[4,7,1,3,5,2,6]=>[4,1,3,5,7,2,6]
[4,7,1,3,5,6,2]=>[4,1,3,5,7,6,2]
[4,7,1,3,6,2,5]=>[4,1,3,2,7,6,5]
[4,7,1,3,6,5,2]=>[7,4,1,3,6,5,2]
[4,7,1,5,2,3,6]=>[1,4,2,7,5,3,6]
[4,7,1,5,2,6,3]=>[4,7,1,5,6,2,3]
[4,7,1,5,3,2,6]=>[4,5,7,1,3,2,6]
[4,7,1,5,3,6,2]=>[4,7,1,5,3,6,2]
[4,7,1,5,6,2,3]=>[1,4,5,2,7,6,3]
[4,7,1,5,6,3,2]=>[4,5,7,1,6,3,2]
[4,7,1,6,2,3,5]=>[1,4,2,7,3,6,5]
[4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]
[4,7,1,6,3,2,5]=>[4,1,7,6,3,2,5]
[4,7,1,6,3,5,2]=>[4,7,1,3,6,5,2]
[4,7,1,6,5,2,3]=>[1,7,4,6,2,5,3]
[4,7,1,6,5,3,2]=>[7,4,6,5,1,3,2]
[4,7,2,1,3,5,6]=>[2,4,1,3,7,5,6]
[4,7,2,1,3,6,5]=>[7,2,4,1,6,3,5]
[4,7,2,1,5,3,6]=>[4,2,7,5,1,3,6]
[4,7,2,1,5,6,3]=>[4,7,2,1,5,6,3]
[4,7,2,1,6,3,5]=>[4,2,7,1,6,3,5]
[4,7,2,1,6,5,3]=>[7,4,6,2,5,1,3]
[4,7,2,3,1,5,6]=>[2,4,3,1,7,5,6]
[4,7,2,3,1,6,5]=>[7,2,4,3,6,1,5]
[4,7,2,3,5,1,6]=>[2,4,3,5,7,1,6]
[4,7,2,3,5,6,1]=>[2,4,3,5,7,6,1]
[4,7,2,3,6,1,5]=>[2,4,3,1,7,6,5]
[4,7,2,3,6,5,1]=>[7,2,4,3,6,5,1]
[4,7,2,5,1,3,6]=>[2,4,1,5,7,3,6]
[4,7,2,5,1,6,3]=>[4,5,2,7,6,1,3]
[4,7,2,5,3,1,6]=>[4,2,7,5,3,1,6]
[4,7,2,5,3,6,1]=>[4,2,7,5,3,6,1]
[4,7,2,5,6,1,3]=>[2,4,1,5,7,6,3]
[4,7,2,5,6,3,1]=>[4,5,2,7,6,3,1]
[4,7,2,6,1,3,5]=>[2,4,1,3,7,6,5]
[4,7,2,6,1,5,3]=>[4,7,2,1,6,5,3]
[4,7,2,6,3,1,5]=>[4,2,7,3,6,1,5]
[4,7,2,6,3,5,1]=>[4,2,7,3,6,5,1]
[4,7,2,6,5,1,3]=>[2,7,4,1,6,5,3]
[4,7,2,6,5,3,1]=>[7,4,6,2,5,3,1]
[4,7,3,1,2,5,6]=>[1,4,3,2,7,5,6]
[4,7,3,1,2,6,5]=>[7,1,4,3,6,2,5]
[4,7,3,1,5,2,6]=>[4,3,5,7,1,2,6]
[4,7,3,1,5,6,2]=>[4,3,7,1,5,6,2]
[4,7,3,1,6,2,5]=>[4,3,1,7,6,2,5]
[4,7,3,1,6,5,2]=>[7,4,3,6,5,1,2]
[4,7,3,2,1,5,6]=>[4,3,2,7,1,5,6]
[4,7,3,2,1,6,5]=>[7,4,3,6,2,1,5]
[4,7,3,2,5,1,6]=>[4,3,2,7,5,1,6]
[4,7,3,2,5,6,1]=>[4,3,2,7,5,6,1]
[4,7,3,2,6,1,5]=>[4,3,2,7,1,6,5]
[4,7,3,2,6,5,1]=>[7,4,3,6,2,5,1]
[4,7,3,5,1,2,6]=>[1,4,3,5,7,2,6]
[4,7,3,5,1,6,2]=>[4,3,5,7,6,1,2]
[4,7,3,5,2,1,6]=>[4,3,5,7,2,1,6]
[4,7,3,5,2,6,1]=>[4,3,5,7,2,6,1]
[4,7,3,5,6,1,2]=>[1,4,3,5,7,6,2]
[4,7,3,5,6,2,1]=>[4,3,5,7,6,2,1]
[4,7,3,6,1,2,5]=>[1,4,3,2,7,6,5]
[4,7,3,6,1,5,2]=>[4,3,7,1,6,5,2]
[4,7,3,6,2,1,5]=>[4,3,2,7,6,1,5]
[4,7,3,6,2,5,1]=>[4,3,2,7,6,5,1]
[4,7,3,6,5,1,2]=>[1,7,4,3,6,5,2]
[4,7,3,6,5,2,1]=>[7,4,3,6,5,2,1]
[4,7,5,1,2,3,6]=>[1,2,4,7,5,3,6]
[4,7,5,1,2,6,3]=>[4,1,7,5,6,2,3]
[4,7,5,1,3,2,6]=>[1,7,4,5,3,2,6]
[4,7,5,1,3,6,2]=>[4,1,7,5,3,6,2]
[4,7,5,1,6,2,3]=>[1,4,7,5,6,2,3]
[4,7,5,1,6,3,2]=>[4,7,5,6,3,1,2]
[4,7,5,2,1,3,6]=>[2,4,7,5,1,3,6]
[4,7,5,2,1,6,3]=>[4,7,5,6,2,1,3]
[4,7,5,2,3,1,6]=>[2,4,7,5,3,1,6]
[4,7,5,2,3,6,1]=>[2,4,7,5,3,6,1]
[4,7,5,2,6,1,3]=>[2,4,7,5,1,6,3]
[4,7,5,2,6,3,1]=>[4,7,5,6,2,3,1]
[4,7,5,3,1,2,6]=>[1,4,7,5,3,2,6]
[4,7,5,3,1,6,2]=>[4,7,5,3,6,1,2]
[4,7,5,3,2,1,6]=>[4,7,5,3,2,1,6]
[4,7,5,3,2,6,1]=>[4,7,5,3,2,6,1]
[4,7,5,3,6,1,2]=>[1,4,7,5,3,6,2]
[4,7,5,3,6,2,1]=>[4,7,5,3,6,2,1]
[4,7,5,6,1,2,3]=>[1,2,4,7,5,6,3]
[4,7,5,6,1,3,2]=>[4,1,7,5,6,3,2]
[4,7,5,6,2,1,3]=>[2,4,7,5,6,1,3]
[4,7,5,6,2,3,1]=>[2,4,7,5,6,3,1]
[4,7,5,6,3,1,2]=>[1,4,7,5,6,3,2]
[4,7,5,6,3,2,1]=>[4,7,5,6,3,2,1]
[4,7,6,1,2,3,5]=>[1,2,4,7,3,6,5]
[4,7,6,1,2,5,3]=>[4,1,7,6,2,5,3]
[4,7,6,1,3,2,5]=>[1,7,4,3,6,2,5]
[4,7,6,1,3,5,2]=>[4,1,7,3,6,5,2]
[4,7,6,1,5,2,3]=>[1,4,7,6,2,5,3]
[4,7,6,1,5,3,2]=>[4,7,6,5,1,3,2]
[4,7,6,2,1,3,5]=>[2,4,7,1,6,3,5]
[4,7,6,2,1,5,3]=>[4,7,6,2,5,1,3]
[4,7,6,2,3,1,5]=>[2,4,7,3,6,1,5]
[4,7,6,2,3,5,1]=>[2,4,7,3,6,5,1]
[4,7,6,2,5,1,3]=>[2,4,7,1,6,5,3]
[4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]
[4,7,6,3,1,2,5]=>[1,4,7,3,6,2,5]
[4,7,6,3,1,5,2]=>[4,7,3,6,5,1,2]
[4,7,6,3,2,1,5]=>[4,7,3,6,2,1,5]
[4,7,6,3,2,5,1]=>[4,7,3,6,2,5,1]
[4,7,6,3,5,1,2]=>[1,4,7,3,6,5,2]
[4,7,6,3,5,2,1]=>[4,7,3,6,5,2,1]
[4,7,6,5,1,2,3]=>[1,2,7,6,4,5,3]
[4,7,6,5,1,3,2]=>[7,1,6,4,5,3,2]
[4,7,6,5,2,1,3]=>[2,7,6,4,5,1,3]
[4,7,6,5,2,3,1]=>[2,7,6,4,5,3,1]
[4,7,6,5,3,1,2]=>[1,7,6,4,5,3,2]
[4,7,6,5,3,2,1]=>[7,6,4,5,3,2,1]
[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]
[5,1,2,3,4,7,6]=>[7,1,2,3,5,4,6]
[5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]
[5,1,2,3,6,7,4]=>[5,1,2,6,3,7,4]
[5,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]
[5,1,2,3,7,6,4]=>[7,5,1,2,6,3,4]
[5,1,2,4,3,6,7]=>[5,1,2,4,3,6,7]
[5,1,2,4,3,7,6]=>[7,5,1,2,4,3,6]
[5,1,2,4,6,3,7]=>[5,1,2,4,6,3,7]
[5,1,2,4,6,7,3]=>[5,1,2,4,6,7,3]
[5,1,2,4,7,3,6]=>[5,1,2,4,3,7,6]
[5,1,2,4,7,6,3]=>[7,5,1,2,4,6,3]
[5,1,2,6,3,4,7]=>[1,5,2,6,3,4,7]
[5,1,2,6,3,7,4]=>[5,6,1,7,2,3,4]
[5,1,2,6,4,3,7]=>[5,6,1,4,2,3,7]
[5,1,2,6,4,7,3]=>[5,6,1,4,2,7,3]
[5,1,2,6,7,3,4]=>[1,5,2,6,3,7,4]
[5,1,2,6,7,4,3]=>[5,6,1,7,2,4,3]
[5,1,2,7,3,4,6]=>[1,5,2,3,7,4,6]
[5,1,2,7,3,6,4]=>[5,7,1,2,6,3,4]
[5,1,2,7,4,3,6]=>[5,1,7,4,2,3,6]
[5,1,2,7,4,6,3]=>[5,7,1,2,4,6,3]
[5,1,2,7,6,3,4]=>[1,7,5,2,6,3,4]
[5,1,2,7,6,4,3]=>[7,5,6,1,4,2,3]
[5,1,3,2,4,6,7]=>[1,5,3,2,4,6,7]
[5,1,3,2,4,7,6]=>[7,1,5,3,2,4,6]
[5,1,3,2,6,4,7]=>[5,6,1,3,2,4,7]
[5,1,3,2,6,7,4]=>[5,6,1,3,2,7,4]
[5,1,3,2,7,4,6]=>[5,1,7,3,2,4,6]
[5,1,3,2,7,6,4]=>[7,5,6,1,3,2,4]
[5,1,3,4,2,6,7]=>[3,1,5,4,2,6,7]
[5,1,3,4,2,7,6]=>[7,3,1,5,4,2,6]
[5,1,3,4,6,2,7]=>[3,1,5,4,6,2,7]
[5,1,3,4,6,7,2]=>[3,1,5,4,6,7,2]
[5,1,3,4,7,2,6]=>[3,1,5,4,2,7,6]
[5,1,3,4,7,6,2]=>[7,3,1,5,4,6,2]
[5,1,3,6,2,4,7]=>[1,5,3,2,6,4,7]
[5,1,3,6,2,7,4]=>[5,6,1,3,7,2,4]
[5,1,3,6,4,2,7]=>[5,6,1,3,4,2,7]
[5,1,3,6,4,7,2]=>[5,6,1,3,4,7,2]
[5,1,3,6,7,2,4]=>[1,5,3,2,6,7,4]
[5,1,3,6,7,4,2]=>[5,6,1,3,7,4,2]
[5,1,3,7,2,4,6]=>[1,5,3,2,4,7,6]
[5,1,3,7,2,6,4]=>[5,7,1,3,2,6,4]
[5,1,3,7,4,2,6]=>[5,1,7,3,4,2,6]
[5,1,3,7,4,6,2]=>[5,3,1,7,4,6,2]
[5,1,3,7,6,2,4]=>[1,7,5,3,2,6,4]
[5,1,3,7,6,4,2]=>[7,5,6,1,3,4,2]
[5,1,4,2,3,6,7]=>[1,5,2,4,3,6,7]
[5,1,4,2,3,7,6]=>[7,1,5,2,4,3,6]
[5,1,4,2,6,3,7]=>[5,4,1,6,2,3,7]
[5,1,4,2,6,7,3]=>[5,4,1,6,2,7,3]
[5,1,4,2,7,3,6]=>[5,4,1,2,7,3,6]
[5,1,4,2,7,6,3]=>[7,5,4,1,6,2,3]
[5,1,4,3,2,6,7]=>[5,4,1,3,2,6,7]
[5,1,4,3,2,7,6]=>[7,5,4,1,3,2,6]
[5,1,4,3,6,2,7]=>[5,4,1,3,6,2,7]
[5,1,4,3,6,7,2]=>[5,4,1,3,6,7,2]
[5,1,4,3,7,2,6]=>[5,4,1,3,2,7,6]
[5,1,4,3,7,6,2]=>[7,5,4,1,3,6,2]
[5,1,4,6,2,3,7]=>[1,5,2,4,6,3,7]
[5,1,4,6,2,7,3]=>[5,4,1,6,7,2,3]
[5,1,4,6,3,2,7]=>[5,4,1,6,3,2,7]
[5,1,4,6,3,7,2]=>[5,4,1,6,3,7,2]
[5,1,4,6,7,2,3]=>[1,5,2,4,6,7,3]
[5,1,4,6,7,3,2]=>[5,4,1,6,7,3,2]
[5,1,4,7,2,3,6]=>[1,5,2,4,3,7,6]
[5,1,4,7,2,6,3]=>[5,4,1,7,2,6,3]
[5,1,4,7,3,2,6]=>[5,4,1,3,7,2,6]
[5,1,4,7,3,6,2]=>[5,4,1,3,7,6,2]
[5,1,4,7,6,2,3]=>[1,7,5,2,4,6,3]
[5,1,4,7,6,3,2]=>[7,5,4,1,6,3,2]
[5,1,6,2,3,4,7]=>[1,2,5,6,3,4,7]
[5,1,6,2,3,7,4]=>[5,1,6,7,2,3,4]
[5,1,6,2,4,3,7]=>[5,1,6,4,2,3,7]
[5,1,6,2,4,7,3]=>[5,1,6,4,2,7,3]
[5,1,6,2,7,3,4]=>[1,5,6,7,2,3,4]
[5,1,6,2,7,4,3]=>[5,6,7,4,1,2,3]
[5,1,6,3,2,4,7]=>[3,5,6,1,2,4,7]
[5,1,6,3,2,7,4]=>[5,6,7,3,1,2,4]
[5,1,6,3,4,2,7]=>[5,1,6,3,4,2,7]
[5,1,6,3,4,7,2]=>[5,1,6,3,4,7,2]
[5,1,6,3,7,2,4]=>[3,5,6,1,2,7,4]
[5,1,6,3,7,4,2]=>[5,6,7,3,1,4,2]
[5,1,6,4,2,3,7]=>[1,5,6,4,2,3,7]
[5,1,6,4,2,7,3]=>[5,6,4,7,1,2,3]
[5,1,6,4,3,2,7]=>[5,6,4,3,1,2,7]
[5,1,6,4,3,7,2]=>[5,6,4,3,1,7,2]
[5,1,6,4,7,2,3]=>[1,5,6,4,2,7,3]
[5,1,6,4,7,3,2]=>[5,6,4,7,1,3,2]
[5,1,6,7,2,3,4]=>[1,2,5,6,3,7,4]
[5,1,6,7,2,4,3]=>[5,1,6,7,2,4,3]
[5,1,6,7,3,2,4]=>[1,5,6,7,3,2,4]
[5,1,6,7,3,4,2]=>[5,1,6,3,7,4,2]
[5,1,6,7,4,2,3]=>[1,5,6,7,2,4,3]
[5,1,6,7,4,3,2]=>[5,6,7,4,1,3,2]
[5,1,7,2,3,4,6]=>[1,2,5,3,7,4,6]
[5,1,7,2,3,6,4]=>[5,1,7,2,6,3,4]
[5,1,7,2,4,3,6]=>[5,1,4,7,2,3,6]
[5,1,7,2,4,6,3]=>[5,1,7,2,4,6,3]
[5,1,7,2,6,3,4]=>[1,5,7,2,6,3,4]
[5,1,7,2,6,4,3]=>[5,7,6,1,4,2,3]
[5,1,7,3,2,4,6]=>[3,5,1,7,2,4,6]
[5,1,7,3,2,6,4]=>[5,7,3,6,1,2,4]
[5,1,7,3,4,2,6]=>[5,1,3,7,4,2,6]
[5,1,7,3,4,6,2]=>[5,1,3,7,4,6,2]
[5,1,7,3,6,2,4]=>[1,5,7,3,2,6,4]
[5,1,7,3,6,4,2]=>[5,7,6,1,3,4,2]
[5,1,7,4,2,3,6]=>[1,5,4,7,2,3,6]
[5,1,7,4,2,6,3]=>[5,4,7,6,1,2,3]
[5,1,7,4,3,2,6]=>[5,4,7,3,1,2,6]
[5,1,7,4,3,6,2]=>[5,4,7,3,1,6,2]
[5,1,7,4,6,2,3]=>[1,5,7,2,4,6,3]
[5,1,7,4,6,3,2]=>[5,7,4,1,6,3,2]
[5,1,7,6,2,3,4]=>[1,2,7,5,6,3,4]
[5,1,7,6,2,4,3]=>[7,1,5,6,4,2,3]
[5,1,7,6,3,2,4]=>[3,7,5,6,1,2,4]
[5,1,7,6,3,4,2]=>[7,1,5,6,3,4,2]
[5,1,7,6,4,2,3]=>[1,7,5,6,4,2,3]
[5,1,7,6,4,3,2]=>[7,5,6,4,3,1,2]
[5,2,1,3,4,6,7]=>[2,1,5,3,4,6,7]
[5,2,1,3,4,7,6]=>[7,2,1,5,3,4,6]
[5,2,1,3,6,4,7]=>[5,2,6,1,3,4,7]
[5,2,1,3,6,7,4]=>[5,2,6,1,3,7,4]
[5,2,1,3,7,4,6]=>[5,2,1,7,3,4,6]
[5,2,1,3,7,6,4]=>[7,5,2,6,1,3,4]
[5,2,1,4,3,6,7]=>[5,2,4,1,3,6,7]
[5,2,1,4,3,7,6]=>[7,5,2,4,1,3,6]
[5,2,1,4,6,3,7]=>[5,2,4,1,6,3,7]
[5,2,1,4,6,7,3]=>[5,2,4,1,6,7,3]
[5,2,1,4,7,3,6]=>[5,2,4,1,3,7,6]
[5,2,1,4,7,6,3]=>[7,5,2,4,1,6,3]
[5,2,1,6,3,4,7]=>[2,5,6,1,3,4,7]
[5,2,1,6,3,7,4]=>[5,6,7,2,1,3,4]
[5,2,1,6,4,3,7]=>[5,6,4,2,1,3,7]
[5,2,1,6,4,7,3]=>[5,6,4,2,1,7,3]
[5,2,1,6,7,3,4]=>[2,5,6,1,3,7,4]
[5,2,1,6,7,4,3]=>[5,6,7,2,1,4,3]
[5,2,1,7,3,4,6]=>[2,5,1,7,3,4,6]
[5,2,1,7,3,6,4]=>[5,7,2,6,1,3,4]
[5,2,1,7,4,3,6]=>[5,4,7,2,1,3,6]
[5,2,1,7,4,6,3]=>[5,7,2,4,1,6,3]
[5,2,1,7,6,3,4]=>[2,7,5,6,1,3,4]
[5,2,1,7,6,4,3]=>[7,5,6,4,2,1,3]
[5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]
[5,2,3,1,4,7,6]=>[7,2,3,5,1,4,6]
[5,2,3,1,6,4,7]=>[5,2,6,3,1,4,7]
[5,2,3,1,6,7,4]=>[5,2,6,3,1,7,4]
[5,2,3,1,7,4,6]=>[5,2,3,7,1,4,6]
[5,2,3,1,7,6,4]=>[7,5,2,6,3,1,4]
[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]
[5,2,3,4,1,7,6]=>[7,2,3,5,4,1,6]
[5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]
[5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]
[5,2,3,4,7,1,6]=>[2,3,5,4,1,7,6]
[5,2,3,4,7,6,1]=>[7,2,3,5,4,6,1]
[5,2,3,6,1,4,7]=>[2,3,5,1,6,4,7]
[5,2,3,6,1,7,4]=>[5,2,6,3,7,1,4]
[5,2,3,6,4,1,7]=>[5,2,6,3,4,1,7]
[5,2,3,6,4,7,1]=>[5,2,6,3,4,7,1]
[5,2,3,6,7,1,4]=>[2,3,5,1,6,7,4]
[5,2,3,6,7,4,1]=>[5,2,6,3,7,4,1]
[5,2,3,7,1,4,6]=>[2,3,5,1,4,7,6]
[5,2,3,7,1,6,4]=>[5,2,7,3,1,6,4]
[5,2,3,7,4,1,6]=>[5,2,3,7,4,1,6]
[5,2,3,7,4,6,1]=>[5,2,3,7,4,6,1]
[5,2,3,7,6,1,4]=>[2,7,3,5,1,6,4]
[5,2,3,7,6,4,1]=>[7,5,2,6,3,4,1]
[5,2,4,1,3,6,7]=>[2,1,5,4,3,6,7]
[5,2,4,1,3,7,6]=>[7,2,1,5,4,3,6]
[5,2,4,1,6,3,7]=>[5,2,4,6,1,3,7]
[5,2,4,1,6,7,3]=>[5,2,4,6,1,7,3]
[5,2,4,1,7,3,6]=>[5,2,4,1,7,3,6]
[5,2,4,1,7,6,3]=>[7,5,2,4,6,1,3]
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]
[5,2,4,3,1,7,6]=>[7,5,2,4,3,1,6]
[5,2,4,3,6,1,7]=>[5,2,4,3,6,1,7]
[5,2,4,3,6,7,1]=>[5,2,4,3,6,7,1]
[5,2,4,3,7,1,6]=>[5,2,4,3,1,7,6]
[5,2,4,3,7,6,1]=>[7,5,2,4,3,6,1]
[5,2,4,6,1,3,7]=>[2,1,5,4,6,3,7]
[5,2,4,6,1,7,3]=>[5,2,4,6,7,1,3]
[5,2,4,6,3,1,7]=>[5,2,4,6,3,1,7]
[5,2,4,6,3,7,1]=>[5,2,4,6,3,7,1]
[5,2,4,6,7,1,3]=>[2,1,5,4,6,7,3]
[5,2,4,6,7,3,1]=>[5,2,4,6,7,3,1]
[5,2,4,7,1,3,6]=>[2,1,5,4,3,7,6]
[5,2,4,7,1,6,3]=>[5,2,4,7,1,6,3]
[5,2,4,7,3,1,6]=>[5,2,4,3,7,1,6]
[5,2,4,7,3,6,1]=>[5,2,4,3,7,6,1]
[5,2,4,7,6,1,3]=>[2,7,1,5,4,6,3]
[5,2,4,7,6,3,1]=>[7,5,2,4,6,3,1]
[5,2,6,1,3,4,7]=>[2,1,5,3,6,4,7]
[5,2,6,1,3,7,4]=>[5,2,6,1,7,3,4]
[5,2,6,1,4,3,7]=>[5,2,6,1,4,3,7]
[5,2,6,1,4,7,3]=>[5,2,6,1,4,7,3]
[5,2,6,1,7,3,4]=>[2,5,6,1,7,3,4]
[5,2,6,1,7,4,3]=>[5,6,7,2,4,1,3]
[5,2,6,3,1,4,7]=>[2,5,6,3,1,4,7]
[5,2,6,3,1,7,4]=>[5,6,7,2,3,1,4]
[5,2,6,3,4,1,7]=>[2,5,6,3,4,1,7]
[5,2,6,3,4,7,1]=>[2,5,6,3,4,7,1]
[5,2,6,3,7,1,4]=>[2,5,6,3,1,7,4]
[5,2,6,3,7,4,1]=>[5,6,7,2,3,4,1]
[5,2,6,4,1,3,7]=>[2,5,6,1,4,3,7]
[5,2,6,4,1,7,3]=>[5,6,4,2,7,1,3]
[5,2,6,4,3,1,7]=>[5,6,4,2,3,1,7]
[5,2,6,4,3,7,1]=>[5,6,4,2,3,7,1]
[5,2,6,4,7,1,3]=>[2,5,6,1,4,7,3]
[5,2,6,4,7,3,1]=>[5,6,4,2,7,3,1]
[5,2,6,7,1,3,4]=>[2,1,5,3,6,7,4]
[5,2,6,7,1,4,3]=>[5,2,6,1,7,4,3]
[5,2,6,7,3,1,4]=>[2,5,6,3,7,1,4]
[5,2,6,7,3,4,1]=>[2,5,6,3,7,4,1]
[5,2,6,7,4,1,3]=>[2,5,6,1,7,4,3]
[5,2,6,7,4,3,1]=>[5,6,7,2,4,3,1]
[5,2,7,1,3,4,6]=>[2,1,5,3,4,7,6]
[5,2,7,1,3,6,4]=>[5,2,7,1,3,6,4]
[5,2,7,1,4,3,6]=>[5,2,1,7,4,3,6]
[5,2,7,1,4,6,3]=>[5,2,4,1,7,6,3]
[5,2,7,1,6,3,4]=>[2,5,7,1,3,6,4]
[5,2,7,1,6,4,3]=>[5,7,6,2,1,4,3]
[5,2,7,3,1,4,6]=>[2,5,3,7,1,4,6]
[5,2,7,3,1,6,4]=>[5,7,2,6,3,1,4]
[5,2,7,3,4,1,6]=>[2,5,3,7,4,1,6]
[5,2,7,3,4,6,1]=>[2,5,3,7,4,6,1]
[5,2,7,3,6,1,4]=>[2,5,3,7,1,6,4]
[5,2,7,3,6,4,1]=>[5,7,2,6,3,4,1]
[5,2,7,4,1,3,6]=>[2,5,1,7,4,3,6]
[5,2,7,4,1,6,3]=>[5,7,2,4,6,1,3]
[5,2,7,4,3,1,6]=>[5,4,7,2,3,1,6]
[5,2,7,4,3,6,1]=>[5,4,7,2,3,6,1]
[5,2,7,4,6,1,3]=>[2,5,1,7,4,6,3]
[5,2,7,4,6,3,1]=>[5,7,2,4,6,3,1]
[5,2,7,6,1,3,4]=>[2,1,7,5,3,6,4]
[5,2,7,6,1,4,3]=>[7,2,5,6,1,4,3]
[5,2,7,6,3,1,4]=>[2,7,5,6,3,1,4]
[5,2,7,6,3,4,1]=>[2,7,5,6,3,4,1]
[5,2,7,6,4,1,3]=>[2,7,5,6,1,4,3]
[5,2,7,6,4,3,1]=>[7,5,6,4,2,3,1]
[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]
[5,3,1,2,4,7,6]=>[7,1,3,5,2,4,6]
[5,3,1,2,6,4,7]=>[5,1,6,3,2,4,7]
[5,3,1,2,6,7,4]=>[5,1,6,3,2,7,4]
[5,3,1,2,7,4,6]=>[5,1,3,7,2,4,6]
[5,3,1,2,7,6,4]=>[7,5,1,6,3,2,4]
[5,3,1,4,2,6,7]=>[3,5,4,1,2,6,7]
[5,3,1,4,2,7,6]=>[7,3,5,4,1,2,6]
[5,3,1,4,6,2,7]=>[3,5,4,1,6,2,7]
[5,3,1,4,6,7,2]=>[3,5,4,1,6,7,2]
[5,3,1,4,7,2,6]=>[3,5,4,1,2,7,6]
[5,3,1,4,7,6,2]=>[7,3,5,4,1,6,2]
[5,3,1,6,2,4,7]=>[3,5,1,6,2,4,7]
[5,3,1,6,2,7,4]=>[5,6,3,7,1,2,4]
[5,3,1,6,4,2,7]=>[5,6,3,4,1,2,7]
[5,3,1,6,4,7,2]=>[5,6,3,4,1,7,2]
[5,3,1,6,7,2,4]=>[3,5,1,6,2,7,4]
[5,3,1,6,7,4,2]=>[5,6,3,7,1,4,2]
[5,3,1,7,2,4,6]=>[3,5,1,2,7,4,6]
[5,3,1,7,2,6,4]=>[5,7,3,1,6,2,4]
[5,3,1,7,4,2,6]=>[5,3,7,4,1,2,6]
[5,3,1,7,4,6,2]=>[5,3,7,4,1,6,2]
[5,3,1,7,6,2,4]=>[3,7,5,1,6,2,4]
[5,3,1,7,6,4,2]=>[7,5,6,3,4,1,2]
[5,3,2,1,4,6,7]=>[3,5,2,1,4,6,7]
[5,3,2,1,4,7,6]=>[7,3,5,2,1,4,6]
[5,3,2,1,6,4,7]=>[5,6,3,2,1,4,7]
[5,3,2,1,6,7,4]=>[5,6,3,2,1,7,4]
[5,3,2,1,7,4,6]=>[5,3,7,2,1,4,6]
[5,3,2,1,7,6,4]=>[7,5,6,3,2,1,4]
[5,3,2,4,1,6,7]=>[3,5,2,4,1,6,7]
[5,3,2,4,1,7,6]=>[7,3,5,2,4,1,6]
[5,3,2,4,6,1,7]=>[3,5,2,4,6,1,7]
[5,3,2,4,6,7,1]=>[3,5,2,4,6,7,1]
[5,3,2,4,7,1,6]=>[3,5,2,4,1,7,6]
[5,3,2,4,7,6,1]=>[7,3,5,2,4,6,1]
[5,3,2,6,1,4,7]=>[3,5,2,1,6,4,7]
[5,3,2,6,1,7,4]=>[5,6,3,2,7,1,4]
[5,3,2,6,4,1,7]=>[5,6,3,2,4,1,7]
[5,3,2,6,4,7,1]=>[5,6,3,2,4,7,1]
[5,3,2,6,7,1,4]=>[3,5,2,1,6,7,4]
[5,3,2,6,7,4,1]=>[5,6,3,2,7,4,1]
[5,3,2,7,1,4,6]=>[3,5,2,1,4,7,6]
[5,3,2,7,1,6,4]=>[5,7,3,2,1,6,4]
[5,3,2,7,4,1,6]=>[5,3,7,2,4,1,6]
[5,3,2,7,4,6,1]=>[5,3,7,2,4,6,1]
[5,3,2,7,6,1,4]=>[3,7,5,2,1,6,4]
[5,3,2,7,6,4,1]=>[7,5,6,3,2,4,1]
[5,3,4,1,2,6,7]=>[1,3,5,4,2,6,7]
[5,3,4,1,2,7,6]=>[7,1,3,5,4,2,6]
[5,3,4,1,6,2,7]=>[3,5,4,6,1,2,7]
[5,3,4,1,6,7,2]=>[3,5,4,6,1,7,2]
[5,3,4,1,7,2,6]=>[3,5,4,1,7,2,6]
[5,3,4,1,7,6,2]=>[7,3,5,4,6,1,2]
[5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]
[5,3,4,2,1,7,6]=>[7,3,5,4,2,1,6]
[5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]
[5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]
[5,3,4,2,7,1,6]=>[3,5,4,2,1,7,6]
[5,3,4,2,7,6,1]=>[7,3,5,4,2,6,1]
[5,3,4,6,1,2,7]=>[1,3,5,4,6,2,7]
[5,3,4,6,1,7,2]=>[3,5,4,6,7,1,2]
[5,3,4,6,2,1,7]=>[3,5,4,6,2,1,7]
[5,3,4,6,2,7,1]=>[3,5,4,6,2,7,1]
[5,3,4,6,7,1,2]=>[1,3,5,4,6,7,2]
[5,3,4,6,7,2,1]=>[3,5,4,6,7,2,1]
[5,3,4,7,1,2,6]=>[1,3,5,4,2,7,6]
[5,3,4,7,1,6,2]=>[3,5,4,7,1,6,2]
[5,3,4,7,2,1,6]=>[3,5,4,2,7,1,6]
[5,3,4,7,2,6,1]=>[3,5,4,2,7,6,1]
[5,3,4,7,6,1,2]=>[1,7,3,5,4,6,2]
[5,3,4,7,6,2,1]=>[7,3,5,4,6,2,1]
[5,3,6,1,2,4,7]=>[1,3,5,2,6,4,7]
[5,3,6,1,2,7,4]=>[5,1,6,3,7,2,4]
[5,3,6,1,4,2,7]=>[3,5,6,1,4,2,7]
[5,3,6,1,4,7,2]=>[3,5,6,1,4,7,2]
[5,3,6,1,7,2,4]=>[3,5,1,6,7,2,4]
[5,3,6,1,7,4,2]=>[5,6,3,7,4,1,2]
[5,3,6,2,1,4,7]=>[3,5,2,6,1,4,7]
[5,3,6,2,1,7,4]=>[5,6,3,7,2,1,4]
[5,3,6,2,4,1,7]=>[3,5,2,6,4,1,7]
[5,3,6,2,4,7,1]=>[3,5,2,6,4,7,1]
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]
[5,3,6,2,7,4,1]=>[5,6,3,7,2,4,1]
[5,3,6,4,1,2,7]=>[1,5,6,3,4,2,7]
[5,3,6,4,1,7,2]=>[5,6,3,4,7,1,2]
[5,3,6,4,2,1,7]=>[5,6,3,4,2,1,7]
[5,3,6,4,2,7,1]=>[5,6,3,4,2,7,1]
[5,3,6,4,7,1,2]=>[1,5,6,3,4,7,2]
[5,3,6,4,7,2,1]=>[5,6,3,4,7,2,1]
[5,3,6,7,1,2,4]=>[1,3,5,2,6,7,4]
[5,3,6,7,1,4,2]=>[3,5,6,1,7,4,2]
[5,3,6,7,2,1,4]=>[3,5,2,6,7,1,4]
[5,3,6,7,2,4,1]=>[3,5,2,6,7,4,1]
[5,3,6,7,4,1,2]=>[1,5,6,3,7,4,2]
[5,3,6,7,4,2,1]=>[5,6,3,7,4,2,1]
[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]
[5,3,7,1,2,6,4]=>[5,1,7,3,2,6,4]
[5,3,7,1,4,2,6]=>[3,5,1,7,4,2,6]
[5,3,7,1,4,6,2]=>[3,5,4,1,7,6,2]
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]
[5,3,7,1,6,4,2]=>[5,7,3,6,1,4,2]
[5,3,7,2,1,4,6]=>[3,5,2,1,7,4,6]
[5,3,7,2,1,6,4]=>[5,7,3,2,6,1,4]
[5,3,7,2,4,1,6]=>[3,5,2,4,7,1,6]
[5,3,7,2,4,6,1]=>[3,5,2,4,7,6,1]
[5,3,7,2,6,1,4]=>[3,5,2,1,7,6,4]
[5,3,7,2,6,4,1]=>[5,7,3,2,6,4,1]
[5,3,7,4,1,2,6]=>[1,5,3,7,4,2,6]
[5,3,7,4,1,6,2]=>[5,3,7,4,6,1,2]
[5,3,7,4,2,1,6]=>[5,3,7,4,2,1,6]
[5,3,7,4,2,6,1]=>[5,3,7,4,2,6,1]
[5,3,7,4,6,1,2]=>[1,5,3,7,4,6,2]
[5,3,7,4,6,2,1]=>[5,3,7,4,6,2,1]
[5,3,7,6,1,2,4]=>[1,3,7,5,2,6,4]
[5,3,7,6,1,4,2]=>[3,7,5,6,1,4,2]
[5,3,7,6,2,1,4]=>[3,7,5,2,6,1,4]
[5,3,7,6,2,4,1]=>[3,7,5,2,6,4,1]
[5,3,7,6,4,1,2]=>[1,7,5,6,3,4,2]
[5,3,7,6,4,2,1]=>[7,5,6,3,4,2,1]
[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]
[5,4,1,2,3,7,6]=>[7,1,2,5,4,3,6]
[5,4,1,2,6,3,7]=>[5,1,4,6,2,3,7]
[5,4,1,2,6,7,3]=>[5,1,4,6,2,7,3]
[5,4,1,2,7,3,6]=>[5,1,4,2,7,3,6]
[5,4,1,2,7,6,3]=>[7,5,1,4,6,2,3]
[5,4,1,3,2,6,7]=>[5,1,4,3,2,6,7]
[5,4,1,3,2,7,6]=>[7,5,1,4,3,2,6]
[5,4,1,3,6,2,7]=>[5,1,4,3,6,2,7]
[5,4,1,3,6,7,2]=>[5,1,4,3,6,7,2]
[5,4,1,3,7,2,6]=>[5,1,4,3,2,7,6]
[5,4,1,3,7,6,2]=>[7,5,1,4,3,6,2]
[5,4,1,6,2,3,7]=>[1,5,4,6,2,3,7]
[5,4,1,6,2,7,3]=>[5,4,6,7,1,2,3]
[5,4,1,6,3,2,7]=>[5,4,6,3,1,2,7]
[5,4,1,6,3,7,2]=>[5,4,6,3,1,7,2]
[5,4,1,6,7,2,3]=>[1,5,4,6,2,7,3]
[5,4,1,6,7,3,2]=>[5,4,6,7,1,3,2]
[5,4,1,7,2,3,6]=>[1,5,4,2,7,3,6]
[5,4,1,7,2,6,3]=>[5,4,7,1,6,2,3]
[5,4,1,7,3,2,6]=>[5,4,3,7,1,2,6]
[5,4,1,7,3,6,2]=>[5,4,7,1,3,6,2]
[5,4,1,7,6,2,3]=>[1,7,5,4,6,2,3]
[5,4,1,7,6,3,2]=>[7,5,4,6,3,1,2]
[5,4,2,1,3,6,7]=>[2,5,4,1,3,6,7]
[5,4,2,1,3,7,6]=>[7,2,5,4,1,3,6]
[5,4,2,1,6,3,7]=>[5,4,6,2,1,3,7]
[5,4,2,1,6,7,3]=>[5,4,6,2,1,7,3]
[5,4,2,1,7,3,6]=>[5,4,2,7,1,3,6]
[5,4,2,1,7,6,3]=>[7,5,4,6,2,1,3]
[5,4,2,3,1,6,7]=>[2,5,4,3,1,6,7]
[5,4,2,3,1,7,6]=>[7,2,5,4,3,1,6]
[5,4,2,3,6,1,7]=>[2,5,4,3,6,1,7]
[5,4,2,3,6,7,1]=>[2,5,4,3,6,7,1]
[5,4,2,3,7,1,6]=>[2,5,4,3,1,7,6]
[5,4,2,3,7,6,1]=>[7,2,5,4,3,6,1]
[5,4,2,6,1,3,7]=>[2,5,4,1,6,3,7]
[5,4,2,6,1,7,3]=>[5,4,6,2,7,1,3]
[5,4,2,6,3,1,7]=>[5,4,6,2,3,1,7]
[5,4,2,6,3,7,1]=>[5,4,6,2,3,7,1]
[5,4,2,6,7,1,3]=>[2,5,4,1,6,7,3]
[5,4,2,6,7,3,1]=>[5,4,6,2,7,3,1]
[5,4,2,7,1,3,6]=>[2,5,4,1,3,7,6]
[5,4,2,7,1,6,3]=>[5,4,7,2,1,6,3]
[5,4,2,7,3,1,6]=>[5,4,2,7,3,1,6]
[5,4,2,7,3,6,1]=>[5,4,2,7,3,6,1]
[5,4,2,7,6,1,3]=>[2,7,5,4,1,6,3]
[5,4,2,7,6,3,1]=>[7,5,4,6,2,3,1]
[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]
[5,4,3,1,2,7,6]=>[7,1,5,4,3,2,6]
[5,4,3,1,6,2,7]=>[5,4,3,6,1,2,7]
[5,4,3,1,6,7,2]=>[5,4,3,6,1,7,2]
[5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]
[5,4,3,1,7,6,2]=>[7,5,4,3,6,1,2]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]
[5,4,3,2,1,7,6]=>[7,5,4,3,2,1,6]
[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]
[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]
[5,4,3,2,7,1,6]=>[5,4,3,2,1,7,6]
[5,4,3,2,7,6,1]=>[7,5,4,3,2,6,1]
[5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7]
[5,4,3,6,1,7,2]=>[5,4,3,6,7,1,2]
[5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]
[5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]
[5,4,3,6,7,1,2]=>[1,5,4,3,6,7,2]
[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]
[5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]
[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]
[5,4,3,7,2,1,6]=>[5,4,3,2,7,1,6]
[5,4,3,7,2,6,1]=>[5,4,3,2,7,6,1]
[5,4,3,7,6,1,2]=>[1,7,5,4,3,6,2]
[5,4,3,7,6,2,1]=>[7,5,4,3,6,2,1]
[5,4,6,1,2,3,7]=>[1,2,5,4,6,3,7]
[5,4,6,1,2,7,3]=>[5,1,4,6,7,2,3]
[5,4,6,1,3,2,7]=>[5,1,4,6,3,2,7]
[5,4,6,1,3,7,2]=>[5,1,4,6,3,7,2]
[5,4,6,1,7,2,3]=>[1,5,4,6,7,2,3]
[5,4,6,1,7,3,2]=>[5,4,6,7,3,1,2]
[5,4,6,2,1,3,7]=>[2,5,4,6,1,3,7]
[5,4,6,2,1,7,3]=>[5,4,6,7,2,1,3]
[5,4,6,2,3,1,7]=>[2,5,4,6,3,1,7]
[5,4,6,2,3,7,1]=>[2,5,4,6,3,7,1]
[5,4,6,2,7,1,3]=>[2,5,4,6,1,7,3]
[5,4,6,2,7,3,1]=>[5,4,6,7,2,3,1]
[5,4,6,3,1,2,7]=>[1,5,4,6,3,2,7]
[5,4,6,3,1,7,2]=>[5,4,6,3,7,1,2]
[5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]
[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]
[5,4,6,3,7,1,2]=>[1,5,4,6,3,7,2]
[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]
[5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3]
[5,4,6,7,1,3,2]=>[5,1,4,6,7,3,2]
[5,4,6,7,2,1,3]=>[2,5,4,6,7,1,3]
[5,4,6,7,2,3,1]=>[2,5,4,6,7,3,1]
[5,4,6,7,3,1,2]=>[1,5,4,6,7,3,2]
[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]
[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]
[5,4,7,1,2,6,3]=>[5,1,4,7,2,6,3]
[5,4,7,1,3,2,6]=>[5,1,4,3,7,2,6]
[5,4,7,1,3,6,2]=>[5,1,4,3,7,6,2]
[5,4,7,1,6,2,3]=>[1,5,4,7,2,6,3]
[5,4,7,1,6,3,2]=>[5,4,7,6,1,3,2]
[5,4,7,2,1,3,6]=>[2,5,4,1,7,3,6]
[5,4,7,2,1,6,3]=>[5,4,7,2,6,1,3]
[5,4,7,2,3,1,6]=>[2,5,4,3,7,1,6]
[5,4,7,2,3,6,1]=>[2,5,4,3,7,6,1]
[5,4,7,2,6,1,3]=>[2,5,4,1,7,6,3]
[5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]
[5,4,7,3,1,2,6]=>[1,5,4,3,7,2,6]
[5,4,7,3,1,6,2]=>[5,4,3,7,6,1,2]
[5,4,7,3,2,1,6]=>[5,4,3,7,2,1,6]
[5,4,7,3,2,6,1]=>[5,4,3,7,2,6,1]
[5,4,7,3,6,1,2]=>[1,5,4,3,7,6,2]
[5,4,7,3,6,2,1]=>[5,4,3,7,6,2,1]
[5,4,7,6,1,2,3]=>[1,2,7,5,4,6,3]
[5,4,7,6,1,3,2]=>[7,1,5,4,6,3,2]
[5,4,7,6,2,1,3]=>[2,7,5,4,6,1,3]
[5,4,7,6,2,3,1]=>[2,7,5,4,6,3,1]
[5,4,7,6,3,1,2]=>[1,7,5,4,6,3,2]
[5,4,7,6,3,2,1]=>[7,5,4,6,3,2,1]
[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]
[5,6,1,2,3,7,4]=>[5,1,2,6,7,3,4]
[5,6,1,2,4,3,7]=>[5,1,2,6,4,3,7]
[5,6,1,2,4,7,3]=>[5,1,2,6,4,7,3]
[5,6,1,2,7,3,4]=>[1,5,2,6,7,3,4]
[5,6,1,2,7,4,3]=>[5,6,1,7,4,2,3]
[5,6,1,3,2,4,7]=>[1,5,3,6,2,4,7]
[5,6,1,3,2,7,4]=>[5,6,1,7,3,2,4]
[5,6,1,3,4,2,7]=>[3,1,5,6,4,2,7]
[5,6,1,3,4,7,2]=>[3,1,5,6,4,7,2]
[5,6,1,3,7,2,4]=>[1,5,3,6,2,7,4]
[5,6,1,3,7,4,2]=>[5,6,1,7,3,4,2]
[5,6,1,4,2,3,7]=>[1,5,2,6,4,3,7]
[5,6,1,4,2,7,3]=>[5,6,1,4,7,2,3]
[5,6,1,4,3,2,7]=>[5,6,1,4,3,2,7]
[5,6,1,4,3,7,2]=>[5,6,1,4,3,7,2]
[5,6,1,4,7,2,3]=>[1,5,2,6,4,7,3]
[5,6,1,4,7,3,2]=>[5,6,1,4,7,3,2]
[5,6,1,7,2,3,4]=>[1,2,5,6,7,3,4]
[5,6,1,7,2,4,3]=>[5,1,6,7,4,2,3]
[5,6,1,7,3,2,4]=>[3,5,6,7,1,2,4]
[5,6,1,7,3,4,2]=>[5,1,6,7,3,4,2]
[5,6,1,7,4,2,3]=>[1,5,6,7,4,2,3]
[5,6,1,7,4,3,2]=>[5,6,7,4,3,1,2]
[5,6,2,1,3,4,7]=>[2,1,5,6,3,4,7]
[5,6,2,1,3,7,4]=>[5,2,6,7,1,3,4]
[5,6,2,1,4,3,7]=>[5,2,6,4,1,3,7]
[5,6,2,1,4,7,3]=>[5,2,6,4,1,7,3]
[5,6,2,1,7,3,4]=>[2,5,6,7,1,3,4]
[5,6,2,1,7,4,3]=>[5,6,7,4,2,1,3]
[5,6,2,3,1,4,7]=>[2,3,5,6,1,4,7]
[5,6,2,3,1,7,4]=>[5,2,6,7,3,1,4]
[5,6,2,3,4,1,7]=>[2,3,5,6,4,1,7]
[5,6,2,3,4,7,1]=>[2,3,5,6,4,7,1]
[5,6,2,3,7,1,4]=>[2,3,5,6,1,7,4]
[5,6,2,3,7,4,1]=>[5,2,6,7,3,4,1]
[5,6,2,4,1,3,7]=>[2,1,5,6,4,3,7]
[5,6,2,4,1,7,3]=>[5,2,6,4,7,1,3]
[5,6,2,4,3,1,7]=>[5,2,6,4,3,1,7]
[5,6,2,4,3,7,1]=>[5,2,6,4,3,7,1]
[5,6,2,4,7,1,3]=>[2,1,5,6,4,7,3]
[5,6,2,4,7,3,1]=>[5,2,6,4,7,3,1]
[5,6,2,7,1,3,4]=>[2,1,5,6,3,7,4]
[5,6,2,7,1,4,3]=>[5,2,6,7,1,4,3]
[5,6,2,7,3,1,4]=>[2,5,6,7,3,1,4]
[5,6,2,7,3,4,1]=>[2,5,6,7,3,4,1]
[5,6,2,7,4,1,3]=>[2,5,6,7,1,4,3]
[5,6,2,7,4,3,1]=>[5,6,7,4,2,3,1]
[5,6,3,1,2,4,7]=>[1,3,5,6,2,4,7]
[5,6,3,1,2,7,4]=>[5,1,6,7,3,2,4]
[5,6,3,1,4,2,7]=>[3,5,6,4,1,2,7]
[5,6,3,1,4,7,2]=>[3,5,6,4,1,7,2]
[5,6,3,1,7,2,4]=>[3,5,6,1,7,2,4]
[5,6,3,1,7,4,2]=>[5,6,7,3,4,1,2]
[5,6,3,2,1,4,7]=>[3,5,6,2,1,4,7]
[5,6,3,2,1,7,4]=>[5,6,7,3,2,1,4]
[5,6,3,2,4,1,7]=>[3,5,6,2,4,1,7]
[5,6,3,2,4,7,1]=>[3,5,6,2,4,7,1]
[5,6,3,2,7,1,4]=>[3,5,6,2,1,7,4]
[5,6,3,2,7,4,1]=>[5,6,7,3,2,4,1]
[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7]
[5,6,3,4,1,7,2]=>[3,5,6,4,7,1,2]
[5,6,3,4,2,1,7]=>[3,5,6,4,2,1,7]
[5,6,3,4,2,7,1]=>[3,5,6,4,2,7,1]
[5,6,3,4,7,1,2]=>[1,3,5,6,4,7,2]
[5,6,3,4,7,2,1]=>[3,5,6,4,7,2,1]
[5,6,3,7,1,2,4]=>[1,3,5,6,2,7,4]
[5,6,3,7,1,4,2]=>[3,5,6,7,1,4,2]
[5,6,3,7,2,1,4]=>[3,5,6,2,7,1,4]
[5,6,3,7,2,4,1]=>[3,5,6,2,7,4,1]
[5,6,3,7,4,1,2]=>[1,5,6,7,3,4,2]
[5,6,3,7,4,2,1]=>[5,6,7,3,4,2,1]
[5,6,4,1,2,3,7]=>[1,2,5,6,4,3,7]
[5,6,4,1,2,7,3]=>[5,1,6,4,7,2,3]
[5,6,4,1,3,2,7]=>[5,1,6,4,3,2,7]
[5,6,4,1,3,7,2]=>[5,1,6,4,3,7,2]
[5,6,4,1,7,2,3]=>[1,5,6,4,7,2,3]
[5,6,4,1,7,3,2]=>[5,6,4,7,3,1,2]
[5,6,4,2,1,3,7]=>[2,5,6,4,1,3,7]
[5,6,4,2,1,7,3]=>[5,6,4,7,2,1,3]
[5,6,4,2,3,1,7]=>[2,5,6,4,3,1,7]
[5,6,4,2,3,7,1]=>[2,5,6,4,3,7,1]
[5,6,4,2,7,1,3]=>[2,5,6,4,1,7,3]
[5,6,4,2,7,3,1]=>[5,6,4,7,2,3,1]
[5,6,4,3,1,2,7]=>[1,5,6,4,3,2,7]
[5,6,4,3,1,7,2]=>[5,6,4,3,7,1,2]
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]
[5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]
[5,6,4,3,7,1,2]=>[1,5,6,4,3,7,2]
[5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]
[5,6,4,7,1,2,3]=>[1,2,5,6,4,7,3]
[5,6,4,7,1,3,2]=>[5,1,6,4,7,3,2]
[5,6,4,7,2,1,3]=>[2,5,6,4,7,1,3]
[5,6,4,7,2,3,1]=>[2,5,6,4,7,3,1]
[5,6,4,7,3,1,2]=>[1,5,6,4,7,3,2]
[5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]
[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4]
[5,6,7,1,2,4,3]=>[5,1,2,6,7,4,3]
[5,6,7,1,3,2,4]=>[1,5,3,6,7,2,4]
[5,6,7,1,3,4,2]=>[3,1,5,6,7,4,2]
[5,6,7,1,4,2,3]=>[1,5,2,6,7,4,3]
[5,6,7,1,4,3,2]=>[5,6,1,7,4,3,2]
[5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4]
[5,6,7,2,1,4,3]=>[5,2,6,7,4,1,3]
[5,6,7,2,3,1,4]=>[2,3,5,6,7,1,4]
[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1]
[5,6,7,2,4,1,3]=>[2,1,5,6,7,4,3]
[5,6,7,2,4,3,1]=>[5,2,6,7,4,3,1]
[5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4]
[5,6,7,3,1,4,2]=>[3,5,6,7,4,1,2]
[5,6,7,3,2,1,4]=>[3,5,6,7,2,1,4]
[5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1]
[5,6,7,3,4,1,2]=>[1,3,5,6,7,4,2]
[5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1]
[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3]
[5,6,7,4,1,3,2]=>[5,1,6,7,4,3,2]
[5,6,7,4,2,1,3]=>[2,5,6,7,4,1,3]
[5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1]
[5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2]
[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]
[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]
[5,7,1,2,3,6,4]=>[5,1,2,7,3,6,4]
[5,7,1,2,4,3,6]=>[5,1,2,4,7,3,6]
[5,7,1,2,4,6,3]=>[5,1,2,4,7,6,3]
[5,7,1,2,6,3,4]=>[1,5,2,7,3,6,4]
[5,7,1,2,6,4,3]=>[5,7,1,6,2,4,3]
[5,7,1,3,2,4,6]=>[1,5,3,2,7,4,6]
[5,7,1,3,2,6,4]=>[5,7,1,3,6,2,4]
[5,7,1,3,4,2,6]=>[3,1,5,4,7,2,6]
[5,7,1,3,4,6,2]=>[3,1,5,4,7,6,2]
[5,7,1,3,6,2,4]=>[1,5,3,2,7,6,4]
[5,7,1,3,6,4,2]=>[5,7,1,3,6,4,2]
[5,7,1,4,2,3,6]=>[1,5,2,4,7,3,6]
[5,7,1,4,2,6,3]=>[5,4,1,7,6,2,3]
[5,7,1,4,3,2,6]=>[5,1,7,4,3,2,6]
[5,7,1,4,3,6,2]=>[5,4,1,7,3,6,2]
[5,7,1,4,6,2,3]=>[1,5,2,4,7,6,3]
[5,7,1,4,6,3,2]=>[5,4,1,7,6,3,2]
[5,7,1,6,2,3,4]=>[1,2,5,7,3,6,4]
[5,7,1,6,2,4,3]=>[5,1,7,6,2,4,3]
[5,7,1,6,3,2,4]=>[1,5,7,6,3,2,4]
[5,7,1,6,3,4,2]=>[5,1,7,3,6,4,2]
[5,7,1,6,4,2,3]=>[1,5,7,6,2,4,3]
[5,7,1,6,4,3,2]=>[5,7,6,4,1,3,2]
[5,7,2,1,3,4,6]=>[2,1,5,3,7,4,6]
[5,7,2,1,3,6,4]=>[5,2,7,1,6,3,4]
[5,7,2,1,4,3,6]=>[5,2,4,7,1,3,6]
[5,7,2,1,4,6,3]=>[5,2,7,1,4,6,3]
[5,7,2,1,6,3,4]=>[2,5,7,1,6,3,4]
[5,7,2,1,6,4,3]=>[5,7,6,2,4,1,3]
[5,7,2,3,1,4,6]=>[2,3,5,1,7,4,6]
[5,7,2,3,1,6,4]=>[5,2,7,3,6,1,4]
[5,7,2,3,4,1,6]=>[2,3,5,4,7,1,6]
[5,7,2,3,4,6,1]=>[2,3,5,4,7,6,1]
[5,7,2,3,6,1,4]=>[2,3,5,1,7,6,4]
[5,7,2,3,6,4,1]=>[5,2,7,3,6,4,1]
[5,7,2,4,1,3,6]=>[2,1,5,4,7,3,6]
[5,7,2,4,1,6,3]=>[5,2,4,7,6,1,3]
[5,7,2,4,3,1,6]=>[5,2,4,7,3,1,6]
[5,7,2,4,3,6,1]=>[5,2,4,7,3,6,1]
[5,7,2,4,6,1,3]=>[2,1,5,4,7,6,3]
[5,7,2,4,6,3,1]=>[5,2,4,7,6,3,1]
[5,7,2,6,1,3,4]=>[2,1,5,3,7,6,4]
[5,7,2,6,1,4,3]=>[5,2,7,1,6,4,3]
[5,7,2,6,3,1,4]=>[2,5,7,3,6,1,4]
[5,7,2,6,3,4,1]=>[2,5,7,3,6,4,1]
[5,7,2,6,4,1,3]=>[2,5,7,1,6,4,3]
[5,7,2,6,4,3,1]=>[5,7,6,2,4,3,1]
[5,7,3,1,2,4,6]=>[1,3,5,2,7,4,6]
[5,7,3,1,2,6,4]=>[5,1,7,3,6,2,4]
[5,7,3,1,4,2,6]=>[3,5,4,7,1,2,6]
[5,7,3,1,4,6,2]=>[3,5,7,1,4,6,2]
[5,7,3,1,6,2,4]=>[3,5,1,7,6,2,4]
[5,7,3,1,6,4,2]=>[5,7,3,6,4,1,2]
[5,7,3,2,1,4,6]=>[3,5,2,7,1,4,6]
[5,7,3,2,1,6,4]=>[5,7,3,6,2,1,4]
[5,7,3,2,4,1,6]=>[3,5,2,7,4,1,6]
[5,7,3,2,4,6,1]=>[3,5,2,7,4,6,1]
[5,7,3,2,6,1,4]=>[3,5,2,7,1,6,4]
[5,7,3,2,6,4,1]=>[5,7,3,6,2,4,1]
[5,7,3,4,1,2,6]=>[1,3,5,4,7,2,6]
[5,7,3,4,1,6,2]=>[3,5,4,7,6,1,2]
[5,7,3,4,2,1,6]=>[3,5,4,7,2,1,6]
[5,7,3,4,2,6,1]=>[3,5,4,7,2,6,1]
[5,7,3,4,6,1,2]=>[1,3,5,4,7,6,2]
[5,7,3,4,6,2,1]=>[3,5,4,7,6,2,1]
[5,7,3,6,1,2,4]=>[1,3,5,2,7,6,4]
[5,7,3,6,1,4,2]=>[3,5,7,1,6,4,2]
[5,7,3,6,2,1,4]=>[3,5,2,7,6,1,4]
[5,7,3,6,2,4,1]=>[3,5,2,7,6,4,1]
[5,7,3,6,4,1,2]=>[1,5,7,3,6,4,2]
[5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]
[5,7,4,1,2,3,6]=>[1,2,5,4,7,3,6]
[5,7,4,1,2,6,3]=>[5,1,4,7,6,2,3]
[5,7,4,1,3,2,6]=>[5,1,4,7,3,2,6]
[5,7,4,1,3,6,2]=>[5,1,4,7,3,6,2]
[5,7,4,1,6,2,3]=>[1,5,4,7,6,2,3]
[5,7,4,1,6,3,2]=>[5,4,7,6,3,1,2]
[5,7,4,2,1,3,6]=>[2,5,4,7,1,3,6]
[5,7,4,2,1,6,3]=>[5,4,7,6,2,1,3]
[5,7,4,2,3,1,6]=>[2,5,4,7,3,1,6]
[5,7,4,2,3,6,1]=>[2,5,4,7,3,6,1]
[5,7,4,2,6,1,3]=>[2,5,4,7,1,6,3]
[5,7,4,2,6,3,1]=>[5,4,7,6,2,3,1]
[5,7,4,3,1,2,6]=>[1,5,4,7,3,2,6]
[5,7,4,3,1,6,2]=>[5,4,7,3,6,1,2]
[5,7,4,3,2,1,6]=>[5,4,7,3,2,1,6]
[5,7,4,3,2,6,1]=>[5,4,7,3,2,6,1]
[5,7,4,3,6,1,2]=>[1,5,4,7,3,6,2]
[5,7,4,3,6,2,1]=>[5,4,7,3,6,2,1]
[5,7,4,6,1,2,3]=>[1,2,5,4,7,6,3]
[5,7,4,6,1,3,2]=>[5,1,4,7,6,3,2]
[5,7,4,6,2,1,3]=>[2,5,4,7,6,1,3]
[5,7,4,6,2,3,1]=>[2,5,4,7,6,3,1]
[5,7,4,6,3,1,2]=>[1,5,4,7,6,3,2]
[5,7,4,6,3,2,1]=>[5,4,7,6,3,2,1]
[5,7,6,1,2,3,4]=>[1,2,3,7,5,6,4]
[5,7,6,1,2,4,3]=>[7,1,2,5,6,4,3]
[5,7,6,1,3,2,4]=>[1,7,3,5,6,2,4]
[5,7,6,1,3,4,2]=>[3,1,7,5,6,4,2]
[5,7,6,1,4,2,3]=>[1,7,2,5,6,4,3]
[5,7,6,1,4,3,2]=>[7,5,1,6,4,3,2]
[5,7,6,2,1,3,4]=>[2,1,7,5,6,3,4]
[5,7,6,2,1,4,3]=>[7,2,5,6,4,1,3]
[5,7,6,2,3,1,4]=>[2,3,7,5,6,1,4]
[5,7,6,2,3,4,1]=>[2,3,7,5,6,4,1]
[5,7,6,2,4,1,3]=>[2,1,7,5,6,4,3]
[5,7,6,2,4,3,1]=>[7,2,5,6,4,3,1]
[5,7,6,3,1,2,4]=>[1,3,7,5,6,2,4]
[5,7,6,3,1,4,2]=>[3,7,5,6,4,1,2]
[5,7,6,3,2,1,4]=>[3,7,5,6,2,1,4]
[5,7,6,3,2,4,1]=>[3,7,5,6,2,4,1]
[5,7,6,3,4,1,2]=>[1,3,7,5,6,4,2]
[5,7,6,3,4,2,1]=>[3,7,5,6,4,2,1]
[5,7,6,4,1,2,3]=>[1,2,7,5,6,4,3]
[5,7,6,4,1,3,2]=>[7,1,5,6,4,3,2]
[5,7,6,4,2,1,3]=>[2,7,5,6,4,1,3]
[5,7,6,4,2,3,1]=>[2,7,5,6,4,3,1]
[5,7,6,4,3,1,2]=>[1,7,5,6,4,3,2]
[5,7,6,4,3,2,1]=>[7,5,6,4,3,2,1]
[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]
[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]
[6,1,2,3,5,4,7]=>[6,1,2,3,5,4,7]
[6,1,2,3,5,7,4]=>[6,1,2,3,5,7,4]
[6,1,2,3,7,4,5]=>[1,6,2,3,7,4,5]
[6,1,2,3,7,5,4]=>[6,7,1,2,5,3,4]
[6,1,2,4,3,5,7]=>[1,6,2,4,3,5,7]
[6,1,2,4,3,7,5]=>[6,7,1,2,4,3,5]
[6,1,2,4,5,3,7]=>[4,1,2,6,5,3,7]
[6,1,2,4,5,7,3]=>[4,1,2,6,5,7,3]
[6,1,2,4,7,3,5]=>[1,6,2,4,3,7,5]
[6,1,2,4,7,5,3]=>[6,7,1,2,4,5,3]
[6,1,2,5,3,4,7]=>[1,6,2,3,5,4,7]
[6,1,2,5,3,7,4]=>[6,5,1,2,7,3,4]
[6,1,2,5,4,3,7]=>[6,5,1,2,4,3,7]
[6,1,2,5,4,7,3]=>[6,5,1,2,4,7,3]
[6,1,2,5,7,3,4]=>[1,6,2,3,5,7,4]
[6,1,2,5,7,4,3]=>[6,5,1,2,7,4,3]
[6,1,2,7,3,4,5]=>[1,2,6,3,7,4,5]
[6,1,2,7,3,5,4]=>[6,1,7,2,5,3,4]
[6,1,2,7,4,3,5]=>[1,6,7,4,2,3,5]
[6,1,2,7,4,5,3]=>[6,1,7,2,4,5,3]
[6,1,2,7,5,3,4]=>[1,6,7,2,5,3,4]
[6,1,2,7,5,4,3]=>[6,7,5,1,4,2,3]
[6,1,3,2,4,5,7]=>[1,3,6,2,4,5,7]
[6,1,3,2,4,7,5]=>[6,1,7,3,2,4,5]
[6,1,3,2,5,4,7]=>[6,1,5,3,2,4,7]
[6,1,3,2,5,7,4]=>[6,1,5,3,2,7,4]
[6,1,3,2,7,4,5]=>[1,6,7,3,2,4,5]
[6,1,3,2,7,5,4]=>[6,7,5,1,3,2,4]
[6,1,3,4,2,5,7]=>[3,1,4,6,2,5,7]
[6,1,3,4,2,7,5]=>[6,3,1,7,4,2,5]
[6,1,3,4,5,2,7]=>[3,1,4,6,5,2,7]
[6,1,3,4,5,7,2]=>[3,1,4,6,5,7,2]
[6,1,3,4,7,2,5]=>[3,1,4,6,2,7,5]
[6,1,3,4,7,5,2]=>[6,3,1,7,4,5,2]
[6,1,3,5,2,4,7]=>[3,1,2,6,5,4,7]
[6,1,3,5,2,7,4]=>[6,3,1,5,7,2,4]
[6,1,3,5,4,2,7]=>[6,3,1,5,4,2,7]
[6,1,3,5,4,7,2]=>[6,3,1,5,4,7,2]
[6,1,3,5,7,2,4]=>[3,1,2,6,5,7,4]
[6,1,3,5,7,4,2]=>[6,3,1,5,7,4,2]
[6,1,3,7,2,4,5]=>[1,3,6,2,4,7,5]
[6,1,3,7,2,5,4]=>[6,1,7,3,2,5,4]
[6,1,3,7,4,2,5]=>[1,6,7,3,4,2,5]
[6,1,3,7,4,5,2]=>[6,1,3,7,4,5,2]
[6,1,3,7,5,2,4]=>[1,6,7,3,2,5,4]
[6,1,3,7,5,4,2]=>[6,7,5,1,3,4,2]
[6,1,4,2,3,5,7]=>[1,2,6,4,3,5,7]
[6,1,4,2,3,7,5]=>[6,1,7,2,4,3,5]
[6,1,4,2,5,3,7]=>[6,1,4,5,2,3,7]
[6,1,4,2,5,7,3]=>[6,1,4,5,2,7,3]
[6,1,4,2,7,3,5]=>[4,6,1,2,7,3,5]
[6,1,4,2,7,5,3]=>[6,7,4,1,5,2,3]
[6,1,4,3,2,5,7]=>[4,6,1,3,2,5,7]
[6,1,4,3,2,7,5]=>[6,7,4,1,3,2,5]
[6,1,4,3,5,2,7]=>[6,1,4,3,5,2,7]
[6,1,4,3,5,7,2]=>[6,1,4,3,5,7,2]
[6,1,4,3,7,2,5]=>[4,6,1,3,2,7,5]
[6,1,4,3,7,5,2]=>[6,7,4,1,3,5,2]
[6,1,4,5,2,3,7]=>[1,4,2,6,5,3,7]
[6,1,4,5,2,7,3]=>[4,6,1,5,7,2,3]
[6,1,4,5,3,2,7]=>[4,6,1,5,3,2,7]
[6,1,4,5,3,7,2]=>[4,6,1,5,3,7,2]
[6,1,4,5,7,2,3]=>[1,4,2,6,5,7,3]
[6,1,4,5,7,3,2]=>[4,6,1,5,7,3,2]
[6,1,4,7,2,3,5]=>[1,2,6,4,3,7,5]
[6,1,4,7,2,5,3]=>[6,1,4,7,2,5,3]
[6,1,4,7,3,2,5]=>[4,6,1,3,7,2,5]
[6,1,4,7,3,5,2]=>[6,1,4,3,7,5,2]
[6,1,4,7,5,2,3]=>[1,6,7,2,4,5,3]
[6,1,4,7,5,3,2]=>[6,7,4,1,5,3,2]
[6,1,5,2,3,4,7]=>[1,2,6,3,5,4,7]
[6,1,5,2,3,7,4]=>[6,1,5,2,7,3,4]
[6,1,5,2,4,3,7]=>[6,1,5,2,4,3,7]
[6,1,5,2,4,7,3]=>[6,1,5,2,4,7,3]
[6,1,5,2,7,3,4]=>[1,6,5,2,7,3,4]
[6,1,5,2,7,4,3]=>[6,5,7,1,4,2,3]
[6,1,5,3,2,4,7]=>[1,6,5,3,2,4,7]
[6,1,5,3,2,7,4]=>[6,5,7,1,3,2,4]
[6,1,5,3,4,2,7]=>[6,1,3,5,4,2,7]
[6,1,5,3,4,7,2]=>[6,1,3,5,4,7,2]
[6,1,5,3,7,2,4]=>[1,6,5,3,2,7,4]
[6,1,5,3,7,4,2]=>[6,5,7,1,3,4,2]
[6,1,5,4,2,3,7]=>[1,6,5,2,4,3,7]
[6,1,5,4,2,7,3]=>[6,5,4,1,7,2,3]
[6,1,5,4,3,2,7]=>[6,5,4,1,3,2,7]
[6,1,5,4,3,7,2]=>[6,5,4,1,3,7,2]
[6,1,5,4,7,2,3]=>[1,6,5,2,4,7,3]
[6,1,5,4,7,3,2]=>[6,5,4,1,7,3,2]
[6,1,5,7,2,3,4]=>[1,2,6,3,5,7,4]
[6,1,5,7,2,4,3]=>[6,1,5,2,7,4,3]
[6,1,5,7,3,2,4]=>[1,6,5,3,7,2,4]
[6,1,5,7,3,4,2]=>[6,1,3,5,7,4,2]
[6,1,5,7,4,2,3]=>[1,6,5,2,7,4,3]
[6,1,5,7,4,3,2]=>[6,5,7,1,4,3,2]
[6,1,7,2,3,4,5]=>[1,2,3,6,7,4,5]
[6,1,7,2,3,5,4]=>[6,1,2,7,5,3,4]
[6,1,7,2,4,3,5]=>[1,6,4,7,2,3,5]
[6,1,7,2,4,5,3]=>[6,1,2,7,4,5,3]
[6,1,7,2,5,3,4]=>[1,6,2,7,5,3,4]
[6,1,7,2,5,4,3]=>[6,7,1,5,4,2,3]
[6,1,7,3,2,4,5]=>[3,1,6,7,2,4,5]
[6,1,7,3,2,5,4]=>[6,3,7,5,1,2,4]
[6,1,7,3,4,2,5]=>[1,6,3,7,4,2,5]
[6,1,7,3,4,5,2]=>[3,1,6,7,4,5,2]
[6,1,7,3,5,2,4]=>[1,6,3,7,2,5,4]
[6,1,7,3,5,4,2]=>[6,7,1,5,3,4,2]
[6,1,7,4,2,3,5]=>[1,4,6,7,2,3,5]
[6,1,7,4,2,5,3]=>[4,6,7,5,1,2,3]
[6,1,7,4,3,2,5]=>[4,6,7,3,1,2,5]
[6,1,7,4,3,5,2]=>[4,6,7,3,1,5,2]
[6,1,7,4,5,2,3]=>[1,6,2,7,4,5,3]
[6,1,7,4,5,3,2]=>[6,7,1,4,5,3,2]
[6,1,7,5,2,3,4]=>[1,2,6,7,5,3,4]
[6,1,7,5,2,4,3]=>[6,1,7,5,4,2,3]
[6,1,7,5,3,2,4]=>[3,6,7,5,1,2,4]
[6,1,7,5,3,4,2]=>[6,1,7,5,3,4,2]
[6,1,7,5,4,2,3]=>[1,6,7,5,4,2,3]
[6,1,7,5,4,3,2]=>[6,7,5,4,3,1,2]
[6,2,1,3,4,5,7]=>[2,1,3,6,4,5,7]
[6,2,1,3,4,7,5]=>[6,2,1,7,3,4,5]
[6,2,1,3,5,4,7]=>[6,2,1,5,3,4,7]
[6,2,1,3,5,7,4]=>[6,2,1,5,3,7,4]
[6,2,1,3,7,4,5]=>[2,6,1,7,3,4,5]
[6,2,1,3,7,5,4]=>[6,7,2,5,1,3,4]
[6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]
[6,2,1,4,3,7,5]=>[6,7,2,4,1,3,5]
[6,2,1,4,5,3,7]=>[6,2,1,4,5,3,7]
[6,2,1,4,5,7,3]=>[6,2,1,4,5,7,3]
[6,2,1,4,7,3,5]=>[2,6,4,1,3,7,5]
[6,2,1,4,7,5,3]=>[6,7,2,4,1,5,3]
[6,2,1,5,3,4,7]=>[2,6,1,5,3,4,7]
[6,2,1,5,3,7,4]=>[6,5,2,7,1,3,4]
[6,2,1,5,4,3,7]=>[6,5,2,4,1,3,7]
[6,2,1,5,4,7,3]=>[6,5,2,4,1,7,3]
[6,2,1,5,7,3,4]=>[2,6,1,5,3,7,4]
[6,2,1,5,7,4,3]=>[6,5,2,7,1,4,3]
[6,2,1,7,3,4,5]=>[2,1,6,7,3,4,5]
[6,2,1,7,3,5,4]=>[6,2,7,5,1,3,4]
[6,2,1,7,4,3,5]=>[4,6,7,2,1,3,5]
[6,2,1,7,4,5,3]=>[6,2,7,4,1,5,3]
[6,2,1,7,5,3,4]=>[2,6,7,5,1,3,4]
[6,2,1,7,5,4,3]=>[6,7,5,4,2,1,3]
[6,2,3,1,4,5,7]=>[2,3,1,6,4,5,7]
[6,2,3,1,4,7,5]=>[6,2,3,7,1,4,5]
[6,2,3,1,5,4,7]=>[6,2,3,5,1,4,7]
[6,2,3,1,5,7,4]=>[6,2,3,5,1,7,4]
[6,2,3,1,7,4,5]=>[2,6,3,7,1,4,5]
[6,2,3,1,7,5,4]=>[6,7,2,5,3,1,4]
[6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]
[6,2,3,4,1,7,5]=>[6,2,3,7,4,1,5]
[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]
[6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]
[6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]
[6,2,3,4,7,5,1]=>[6,2,3,7,4,5,1]
[6,2,3,5,1,4,7]=>[2,3,1,6,5,4,7]
[6,2,3,5,1,7,4]=>[6,2,3,5,7,1,4]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]
[6,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]
[6,2,3,5,7,1,4]=>[2,3,1,6,5,7,4]
[6,2,3,5,7,4,1]=>[6,2,3,5,7,4,1]
[6,2,3,7,1,4,5]=>[2,3,1,6,4,7,5]
[6,2,3,7,1,5,4]=>[6,2,3,7,1,5,4]
[6,2,3,7,4,1,5]=>[2,6,3,7,4,1,5]
[6,2,3,7,4,5,1]=>[2,6,3,7,4,5,1]
[6,2,3,7,5,1,4]=>[2,6,3,7,1,5,4]
[6,2,3,7,5,4,1]=>[6,7,2,5,3,4,1]
[6,2,4,1,3,5,7]=>[2,1,4,6,3,5,7]
[6,2,4,1,3,7,5]=>[6,2,1,7,4,3,5]
[6,2,4,1,5,3,7]=>[4,2,6,5,1,3,7]
[6,2,4,1,5,7,3]=>[4,2,6,5,1,7,3]
[6,2,4,1,7,3,5]=>[2,6,4,1,7,3,5]
[6,2,4,1,7,5,3]=>[6,7,2,4,5,1,3]
[6,2,4,3,1,5,7]=>[2,6,4,3,1,5,7]
[6,2,4,3,1,7,5]=>[6,7,2,4,3,1,5]
[6,2,4,3,5,1,7]=>[2,6,4,3,5,1,7]
[6,2,4,3,5,7,1]=>[2,6,4,3,5,7,1]
[6,2,4,3,7,1,5]=>[2,6,4,3,1,7,5]
[6,2,4,3,7,5,1]=>[6,7,2,4,3,5,1]
[6,2,4,5,1,3,7]=>[2,1,4,6,5,3,7]
[6,2,4,5,1,7,3]=>[4,2,6,5,7,1,3]
[6,2,4,5,3,1,7]=>[4,2,6,5,3,1,7]
[6,2,4,5,3,7,1]=>[4,2,6,5,3,7,1]
[6,2,4,5,7,1,3]=>[2,1,4,6,5,7,3]
[6,2,4,5,7,3,1]=>[4,2,6,5,7,3,1]
[6,2,4,7,1,3,5]=>[2,1,4,6,3,7,5]
[6,2,4,7,1,5,3]=>[4,2,6,7,1,5,3]
[6,2,4,7,3,1,5]=>[2,6,4,3,7,1,5]
[6,2,4,7,3,5,1]=>[2,6,4,3,7,5,1]
[6,2,4,7,5,1,3]=>[2,6,1,7,4,5,3]
[6,2,4,7,5,3,1]=>[6,7,2,4,5,3,1]
[6,2,5,1,3,4,7]=>[2,1,3,6,5,4,7]
[6,2,5,1,3,7,4]=>[6,2,1,5,7,3,4]
[6,2,5,1,4,3,7]=>[6,2,1,5,4,3,7]
[6,2,5,1,4,7,3]=>[6,2,1,5,4,7,3]
[6,2,5,1,7,3,4]=>[2,6,1,5,7,3,4]
[6,2,5,1,7,4,3]=>[6,5,2,7,4,1,3]
[6,2,5,3,1,4,7]=>[2,6,3,5,1,4,7]
[6,2,5,3,1,7,4]=>[6,5,2,7,3,1,4]
[6,2,5,3,4,1,7]=>[2,6,3,5,4,1,7]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,7,1]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]
[6,2,5,3,7,4,1]=>[6,5,2,7,3,4,1]
[6,2,5,4,1,3,7]=>[2,6,1,5,4,3,7]
[6,2,5,4,1,7,3]=>[6,5,2,4,7,1,3]
[6,2,5,4,3,1,7]=>[6,5,2,4,3,1,7]
[6,2,5,4,3,7,1]=>[6,5,2,4,3,7,1]
[6,2,5,4,7,1,3]=>[2,6,1,5,4,7,3]
[6,2,5,4,7,3,1]=>[6,5,2,4,7,3,1]
[6,2,5,7,1,3,4]=>[2,1,3,6,5,7,4]
[6,2,5,7,1,4,3]=>[6,2,1,5,7,4,3]
[6,2,5,7,3,1,4]=>[2,6,3,5,7,1,4]
[6,2,5,7,3,4,1]=>[2,6,3,5,7,4,1]
[6,2,5,7,4,1,3]=>[2,6,1,5,7,4,3]
[6,2,5,7,4,3,1]=>[6,5,2,7,4,3,1]
[6,2,7,1,3,4,5]=>[2,1,3,6,4,7,5]
[6,2,7,1,3,5,4]=>[6,2,1,7,3,5,4]
[6,2,7,1,4,3,5]=>[2,6,1,7,4,3,5]
[6,2,7,1,4,5,3]=>[6,2,1,4,7,5,3]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]
[6,2,7,1,5,4,3]=>[6,7,2,5,1,4,3]
[6,2,7,3,1,4,5]=>[2,3,6,7,1,4,5]
[6,2,7,3,1,5,4]=>[6,2,7,5,3,1,4]
[6,2,7,3,4,1,5]=>[2,3,6,7,4,1,5]
[6,2,7,3,4,5,1]=>[2,3,6,7,4,5,1]
[6,2,7,3,5,1,4]=>[2,3,6,7,1,5,4]
[6,2,7,3,5,4,1]=>[6,2,7,5,3,4,1]
[6,2,7,4,1,3,5]=>[2,1,6,7,4,3,5]
[6,2,7,4,1,5,3]=>[6,2,7,4,5,1,3]
[6,2,7,4,3,1,5]=>[4,6,7,2,3,1,5]
[6,2,7,4,3,5,1]=>[4,6,7,2,3,5,1]
[6,2,7,4,5,1,3]=>[2,1,6,7,4,5,3]
[6,2,7,4,5,3,1]=>[6,2,7,4,5,3,1]
[6,2,7,5,1,3,4]=>[2,1,6,7,3,5,4]
[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]
[6,2,7,5,3,1,4]=>[2,6,7,5,3,1,4]
[6,2,7,5,3,4,1]=>[2,6,7,5,3,4,1]
[6,2,7,5,4,1,3]=>[2,6,7,5,1,4,3]
[6,2,7,5,4,3,1]=>[6,7,5,4,2,3,1]
[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]
[6,3,1,2,4,7,5]=>[6,1,3,7,2,4,5]
[6,3,1,2,5,4,7]=>[6,1,3,5,2,4,7]
[6,3,1,2,5,7,4]=>[6,1,3,5,2,7,4]
[6,3,1,2,7,4,5]=>[1,6,3,7,2,4,5]
[6,3,1,2,7,5,4]=>[6,7,1,5,3,2,4]
[6,3,1,4,2,5,7]=>[3,4,6,1,2,5,7]
[6,3,1,4,2,7,5]=>[6,3,7,4,1,2,5]
[6,3,1,4,5,2,7]=>[3,6,1,4,5,2,7]
[6,3,1,4,5,7,2]=>[3,6,1,4,5,7,2]
[6,3,1,4,7,2,5]=>[3,4,6,1,2,7,5]
[6,3,1,4,7,5,2]=>[6,3,7,4,1,5,2]
[6,3,1,5,2,4,7]=>[3,1,6,5,2,4,7]
[6,3,1,5,2,7,4]=>[6,3,5,7,1,2,4]
[6,3,1,5,4,2,7]=>[6,3,5,4,1,2,7]
[6,3,1,5,4,7,2]=>[6,3,5,4,1,7,2]
[6,3,1,5,7,2,4]=>[3,1,6,5,2,7,4]
[6,3,1,5,7,4,2]=>[6,3,5,7,1,4,2]
[6,3,1,7,2,4,5]=>[3,1,6,2,7,4,5]
[6,3,1,7,2,5,4]=>[6,3,7,1,5,2,4]
[6,3,1,7,4,2,5]=>[3,6,7,4,1,2,5]
[6,3,1,7,4,5,2]=>[3,6,7,4,1,5,2]
[6,3,1,7,5,2,4]=>[3,6,7,1,5,2,4]
[6,3,1,7,5,4,2]=>[6,7,5,3,4,1,2]
[6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]
[6,3,2,1,4,7,5]=>[6,3,7,2,1,4,5]
[6,3,2,1,5,4,7]=>[6,3,5,2,1,4,7]
[6,3,2,1,5,7,4]=>[6,3,5,2,1,7,4]
[6,3,2,1,7,4,5]=>[3,6,7,2,1,4,5]
[6,3,2,1,7,5,4]=>[6,7,5,3,2,1,4]
[6,3,2,4,1,5,7]=>[3,2,6,4,1,5,7]
[6,3,2,4,1,7,5]=>[6,3,7,2,4,1,5]
[6,3,2,4,5,1,7]=>[3,2,6,4,5,1,7]
[6,3,2,4,5,7,1]=>[3,2,6,4,5,7,1]
[6,3,2,4,7,1,5]=>[3,2,6,4,1,7,5]
[6,3,2,4,7,5,1]=>[6,3,7,2,4,5,1]
[6,3,2,5,1,4,7]=>[3,2,6,1,5,4,7]
[6,3,2,5,1,7,4]=>[6,3,5,2,7,1,4]
[6,3,2,5,4,1,7]=>[6,3,5,2,4,1,7]
[6,3,2,5,4,7,1]=>[6,3,5,2,4,7,1]
[6,3,2,5,7,1,4]=>[3,2,6,1,5,7,4]
[6,3,2,5,7,4,1]=>[6,3,5,2,7,4,1]
[6,3,2,7,1,4,5]=>[3,2,6,1,4,7,5]
[6,3,2,7,1,5,4]=>[6,3,7,2,1,5,4]
[6,3,2,7,4,1,5]=>[3,6,7,2,4,1,5]
[6,3,2,7,4,5,1]=>[3,6,7,2,4,5,1]
[6,3,2,7,5,1,4]=>[3,6,7,2,1,5,4]
[6,3,2,7,5,4,1]=>[6,7,5,3,2,4,1]
[6,3,4,1,2,5,7]=>[1,3,4,6,2,5,7]
[6,3,4,1,2,7,5]=>[6,1,3,7,4,2,5]
[6,3,4,1,5,2,7]=>[3,4,6,5,1,2,7]
[6,3,4,1,5,7,2]=>[3,4,6,5,1,7,2]
[6,3,4,1,7,2,5]=>[3,4,6,1,7,2,5]
[6,3,4,1,7,5,2]=>[6,3,7,4,5,1,2]
[6,3,4,2,1,5,7]=>[3,4,6,2,1,5,7]
[6,3,4,2,1,7,5]=>[6,3,7,4,2,1,5]
[6,3,4,2,5,1,7]=>[3,4,6,2,5,1,7]
[6,3,4,2,5,7,1]=>[3,4,6,2,5,7,1]
[6,3,4,2,7,1,5]=>[3,4,6,2,1,7,5]
[6,3,4,2,7,5,1]=>[6,3,7,4,2,5,1]
[6,3,4,5,1,2,7]=>[1,3,4,6,5,2,7]
[6,3,4,5,1,7,2]=>[3,4,6,5,7,1,2]
[6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]
[6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]
[6,3,4,5,7,1,2]=>[1,3,4,6,5,7,2]
[6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1]
[6,3,4,7,1,2,5]=>[1,3,4,6,2,7,5]
[6,3,4,7,1,5,2]=>[3,4,6,7,1,5,2]
[6,3,4,7,2,1,5]=>[3,4,6,2,7,1,5]
[6,3,4,7,2,5,1]=>[3,4,6,2,7,5,1]
[6,3,4,7,5,1,2]=>[1,6,3,7,4,5,2]
[6,3,4,7,5,2,1]=>[6,3,7,4,5,2,1]
[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]
[6,3,5,1,2,7,4]=>[6,1,3,5,7,2,4]
[6,3,5,1,4,2,7]=>[3,6,1,5,4,2,7]
[6,3,5,1,4,7,2]=>[3,6,1,5,4,7,2]
[6,3,5,1,7,2,4]=>[3,1,6,5,7,2,4]
[6,3,5,1,7,4,2]=>[6,3,5,7,4,1,2]
[6,3,5,2,1,4,7]=>[3,2,6,5,1,4,7]
[6,3,5,2,1,7,4]=>[6,3,5,7,2,1,4]
[6,3,5,2,4,1,7]=>[3,2,6,5,4,1,7]
[6,3,5,2,4,7,1]=>[3,2,6,5,4,7,1]
[6,3,5,2,7,1,4]=>[3,2,6,5,1,7,4]
[6,3,5,2,7,4,1]=>[6,3,5,7,2,4,1]
[6,3,5,4,1,2,7]=>[1,6,3,5,4,2,7]
[6,3,5,4,1,7,2]=>[6,3,5,4,7,1,2]
[6,3,5,4,2,1,7]=>[6,3,5,4,2,1,7]
[6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]
[6,3,5,4,7,1,2]=>[1,6,3,5,4,7,2]
[6,3,5,4,7,2,1]=>[6,3,5,4,7,2,1]
[6,3,5,7,1,2,4]=>[1,3,2,6,5,7,4]
[6,3,5,7,1,4,2]=>[3,6,1,5,7,4,2]
[6,3,5,7,2,1,4]=>[3,2,6,5,7,1,4]
[6,3,5,7,2,4,1]=>[3,2,6,5,7,4,1]
[6,3,5,7,4,1,2]=>[1,6,3,5,7,4,2]
[6,3,5,7,4,2,1]=>[6,3,5,7,4,2,1]
[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]
[6,3,7,1,2,5,4]=>[6,1,3,7,2,5,4]
[6,3,7,1,4,2,5]=>[3,1,6,7,4,2,5]
[6,3,7,1,4,5,2]=>[3,6,1,4,7,5,2]
[6,3,7,1,5,2,4]=>[3,1,6,7,2,5,4]
[6,3,7,1,5,4,2]=>[6,3,7,5,1,4,2]
[6,3,7,2,1,4,5]=>[3,2,6,1,7,4,5]
[6,3,7,2,1,5,4]=>[6,3,7,2,5,1,4]
[6,3,7,2,4,1,5]=>[3,2,6,4,7,1,5]
[6,3,7,2,4,5,1]=>[3,2,6,4,7,5,1]
[6,3,7,2,5,1,4]=>[3,2,6,1,7,5,4]
[6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]
[6,3,7,4,1,2,5]=>[1,3,6,7,4,2,5]
[6,3,7,4,1,5,2]=>[3,6,7,4,5,1,2]
[6,3,7,4,2,1,5]=>[3,6,7,4,2,1,5]
[6,3,7,4,2,5,1]=>[3,6,7,4,2,5,1]
[6,3,7,4,5,1,2]=>[1,3,6,7,4,5,2]
[6,3,7,4,5,2,1]=>[3,6,7,4,5,2,1]
[6,3,7,5,1,2,4]=>[1,3,6,7,2,5,4]
[6,3,7,5,1,4,2]=>[3,6,7,5,1,4,2]
[6,3,7,5,2,1,4]=>[3,6,7,2,5,1,4]
[6,3,7,5,2,4,1]=>[3,6,7,2,5,4,1]
[6,3,7,5,4,1,2]=>[1,6,7,5,3,4,2]
[6,3,7,5,4,2,1]=>[6,7,5,3,4,2,1]
[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]
[6,4,1,2,3,7,5]=>[6,1,2,7,4,3,5]
[6,4,1,2,5,3,7]=>[4,1,6,5,2,3,7]
[6,4,1,2,5,7,3]=>[4,1,6,5,2,7,3]
[6,4,1,2,7,3,5]=>[1,6,4,2,7,3,5]
[6,4,1,2,7,5,3]=>[6,7,1,4,5,2,3]
[6,4,1,3,2,5,7]=>[1,6,4,3,2,5,7]
[6,4,1,3,2,7,5]=>[6,7,1,4,3,2,5]
[6,4,1,3,5,2,7]=>[4,1,6,3,5,2,7]
[6,4,1,3,5,7,2]=>[4,1,6,3,5,7,2]
[6,4,1,3,7,2,5]=>[1,6,4,3,2,7,5]
[6,4,1,3,7,5,2]=>[6,7,1,4,3,5,2]
[6,4,1,5,2,3,7]=>[1,4,6,5,2,3,7]
[6,4,1,5,2,7,3]=>[4,6,5,7,1,2,3]
[6,4,1,5,3,2,7]=>[4,6,5,3,1,2,7]
[6,4,1,5,3,7,2]=>[4,6,5,3,1,7,2]
[6,4,1,5,7,2,3]=>[1,4,6,5,2,7,3]
[6,4,1,5,7,3,2]=>[4,6,5,7,1,3,2]
[6,4,1,7,2,3,5]=>[1,4,6,2,7,3,5]
[6,4,1,7,2,5,3]=>[4,6,7,1,5,2,3]
[6,4,1,7,3,2,5]=>[4,6,3,7,1,2,5]
[6,4,1,7,3,5,2]=>[4,6,7,1,3,5,2]
[6,4,1,7,5,2,3]=>[1,6,7,4,5,2,3]
[6,4,1,7,5,3,2]=>[6,7,4,5,3,1,2]
[6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7]
[6,4,2,1,3,7,5]=>[6,2,7,4,1,3,5]
[6,4,2,1,5,3,7]=>[4,6,5,2,1,3,7]
[6,4,2,1,5,7,3]=>[4,6,5,2,1,7,3]
[6,4,2,1,7,3,5]=>[4,6,2,7,1,3,5]
[6,4,2,1,7,5,3]=>[6,7,4,5,2,1,3]
[6,4,2,3,1,5,7]=>[2,4,6,3,1,5,7]
[6,4,2,3,1,7,5]=>[6,2,7,4,3,1,5]
[6,4,2,3,5,1,7]=>[2,4,6,3,5,1,7]
[6,4,2,3,5,7,1]=>[2,4,6,3,5,7,1]
[6,4,2,3,7,1,5]=>[2,4,6,3,1,7,5]
[6,4,2,3,7,5,1]=>[6,2,7,4,3,5,1]
[6,4,2,5,1,3,7]=>[2,4,6,1,5,3,7]
[6,4,2,5,1,7,3]=>[4,6,5,2,7,1,3]
[6,4,2,5,3,1,7]=>[4,6,5,2,3,1,7]
[6,4,2,5,3,7,1]=>[4,6,5,2,3,7,1]
[6,4,2,5,7,1,3]=>[2,4,6,1,5,7,3]
[6,4,2,5,7,3,1]=>[4,6,5,2,7,3,1]
[6,4,2,7,1,3,5]=>[2,4,6,1,3,7,5]
[6,4,2,7,1,5,3]=>[4,6,7,2,1,5,3]
[6,4,2,7,3,1,5]=>[4,6,2,7,3,1,5]
[6,4,2,7,3,5,1]=>[4,6,2,7,3,5,1]
[6,4,2,7,5,1,3]=>[2,6,7,4,1,5,3]
[6,4,2,7,5,3,1]=>[6,7,4,5,2,3,1]
[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]
[6,4,3,1,2,7,5]=>[6,1,7,4,3,2,5]
[6,4,3,1,5,2,7]=>[4,6,3,5,1,2,7]
[6,4,3,1,5,7,2]=>[4,6,3,5,1,7,2]
[6,4,3,1,7,2,5]=>[4,6,3,1,7,2,5]
[6,4,3,1,7,5,2]=>[6,7,4,3,5,1,2]
[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7]
[6,4,3,2,1,7,5]=>[6,7,4,3,2,1,5]
[6,4,3,2,5,1,7]=>[4,6,3,2,5,1,7]
[6,4,3,2,5,7,1]=>[4,6,3,2,5,7,1]
[6,4,3,2,7,1,5]=>[4,6,3,2,1,7,5]
[6,4,3,2,7,5,1]=>[6,7,4,3,2,5,1]
[6,4,3,5,1,2,7]=>[1,4,6,3,5,2,7]
[6,4,3,5,1,7,2]=>[4,6,3,5,7,1,2]
[6,4,3,5,2,1,7]=>[4,6,3,5,2,1,7]
[6,4,3,5,2,7,1]=>[4,6,3,5,2,7,1]
[6,4,3,5,7,1,2]=>[1,4,6,3,5,7,2]
[6,4,3,5,7,2,1]=>[4,6,3,5,7,2,1]
[6,4,3,7,1,2,5]=>[1,4,6,3,2,7,5]
[6,4,3,7,1,5,2]=>[4,6,3,7,1,5,2]
[6,4,3,7,2,1,5]=>[4,6,3,2,7,1,5]
[6,4,3,7,2,5,1]=>[4,6,3,2,7,5,1]
[6,4,3,7,5,1,2]=>[1,6,7,4,3,5,2]
[6,4,3,7,5,2,1]=>[6,7,4,3,5,2,1]
[6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7]
[6,4,5,1,2,7,3]=>[4,1,6,5,7,2,3]
[6,4,5,1,3,2,7]=>[4,1,6,5,3,2,7]
[6,4,5,1,3,7,2]=>[4,1,6,5,3,7,2]
[6,4,5,1,7,2,3]=>[1,4,6,5,7,2,3]
[6,4,5,1,7,3,2]=>[4,6,5,7,3,1,2]
[6,4,5,2,1,3,7]=>[2,4,6,5,1,3,7]
[6,4,5,2,1,7,3]=>[4,6,5,7,2,1,3]
[6,4,5,2,3,1,7]=>[2,4,6,5,3,1,7]
[6,4,5,2,3,7,1]=>[2,4,6,5,3,7,1]
[6,4,5,2,7,1,3]=>[2,4,6,5,1,7,3]
[6,4,5,2,7,3,1]=>[4,6,5,7,2,3,1]
[6,4,5,3,1,2,7]=>[1,4,6,5,3,2,7]
[6,4,5,3,1,7,2]=>[4,6,5,3,7,1,2]
[6,4,5,3,2,1,7]=>[4,6,5,3,2,1,7]
[6,4,5,3,2,7,1]=>[4,6,5,3,2,7,1]
[6,4,5,3,7,1,2]=>[1,4,6,5,3,7,2]
[6,4,5,3,7,2,1]=>[4,6,5,3,7,2,1]
[6,4,5,7,1,2,3]=>[1,2,4,6,5,7,3]
[6,4,5,7,1,3,2]=>[4,1,6,5,7,3,2]
[6,4,5,7,2,1,3]=>[2,4,6,5,7,1,3]
[6,4,5,7,2,3,1]=>[2,4,6,5,7,3,1]
[6,4,5,7,3,1,2]=>[1,4,6,5,7,3,2]
[6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1]
[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]
[6,4,7,1,2,5,3]=>[4,1,6,7,2,5,3]
[6,4,7,1,3,2,5]=>[1,6,4,3,7,2,5]
[6,4,7,1,3,5,2]=>[4,1,6,3,7,5,2]
[6,4,7,1,5,2,3]=>[1,4,6,7,2,5,3]
[6,4,7,1,5,3,2]=>[4,6,7,5,1,3,2]
[6,4,7,2,1,3,5]=>[2,4,6,1,7,3,5]
[6,4,7,2,1,5,3]=>[4,6,7,2,5,1,3]
[6,4,7,2,3,1,5]=>[2,4,6,3,7,1,5]
[6,4,7,2,3,5,1]=>[2,4,6,3,7,5,1]
[6,4,7,2,5,1,3]=>[2,4,6,1,7,5,3]
[6,4,7,2,5,3,1]=>[4,6,7,2,5,3,1]
[6,4,7,3,1,2,5]=>[1,4,6,3,7,2,5]
[6,4,7,3,1,5,2]=>[4,6,3,7,5,1,2]
[6,4,7,3,2,1,5]=>[4,6,3,7,2,1,5]
[6,4,7,3,2,5,1]=>[4,6,3,7,2,5,1]
[6,4,7,3,5,1,2]=>[1,4,6,3,7,5,2]
[6,4,7,3,5,2,1]=>[4,6,3,7,5,2,1]
[6,4,7,5,1,2,3]=>[1,2,6,7,4,5,3]
[6,4,7,5,1,3,2]=>[6,1,7,4,5,3,2]
[6,4,7,5,2,1,3]=>[2,6,7,4,5,1,3]
[6,4,7,5,2,3,1]=>[2,6,7,4,5,3,1]
[6,4,7,5,3,1,2]=>[1,6,7,4,5,3,2]
[6,4,7,5,3,2,1]=>[6,7,4,5,3,2,1]
[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]
[6,5,1,2,3,7,4]=>[6,1,2,5,7,3,4]
[6,5,1,2,4,3,7]=>[6,1,2,5,4,3,7]
[6,5,1,2,4,7,3]=>[6,1,2,5,4,7,3]
[6,5,1,2,7,3,4]=>[1,6,2,5,7,3,4]
[6,5,1,2,7,4,3]=>[6,5,1,7,4,2,3]
[6,5,1,3,2,4,7]=>[1,6,3,5,2,4,7]
[6,5,1,3,2,7,4]=>[6,5,1,7,3,2,4]
[6,5,1,3,4,2,7]=>[3,1,6,5,4,2,7]
[6,5,1,3,4,7,2]=>[3,1,6,5,4,7,2]
[6,5,1,3,7,2,4]=>[1,6,3,5,2,7,4]
[6,5,1,3,7,4,2]=>[6,5,1,7,3,4,2]
[6,5,1,4,2,3,7]=>[1,6,2,5,4,3,7]
[6,5,1,4,2,7,3]=>[6,5,1,4,7,2,3]
[6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]
[6,5,1,4,3,7,2]=>[6,5,1,4,3,7,2]
[6,5,1,4,7,2,3]=>[1,6,2,5,4,7,3]
[6,5,1,4,7,3,2]=>[6,5,1,4,7,3,2]
[6,5,1,7,2,3,4]=>[1,2,6,5,7,3,4]
[6,5,1,7,2,4,3]=>[6,1,5,7,4,2,3]
[6,5,1,7,3,2,4]=>[3,6,5,7,1,2,4]
[6,5,1,7,3,4,2]=>[6,1,5,7,3,4,2]
[6,5,1,7,4,2,3]=>[1,6,5,7,4,2,3]
[6,5,1,7,4,3,2]=>[6,5,7,4,3,1,2]
[6,5,2,1,3,4,7]=>[2,1,6,5,3,4,7]
[6,5,2,1,3,7,4]=>[6,2,5,7,1,3,4]
[6,5,2,1,4,3,7]=>[6,2,5,4,1,3,7]
[6,5,2,1,4,7,3]=>[6,2,5,4,1,7,3]
[6,5,2,1,7,3,4]=>[2,6,5,7,1,3,4]
[6,5,2,1,7,4,3]=>[6,5,7,4,2,1,3]
[6,5,2,3,1,4,7]=>[2,3,6,5,1,4,7]
[6,5,2,3,1,7,4]=>[6,2,5,7,3,1,4]
[6,5,2,3,4,1,7]=>[2,3,6,5,4,1,7]
[6,5,2,3,4,7,1]=>[2,3,6,5,4,7,1]
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]
[6,5,2,3,7,4,1]=>[6,2,5,7,3,4,1]
[6,5,2,4,1,3,7]=>[2,1,6,5,4,3,7]
[6,5,2,4,1,7,3]=>[6,2,5,4,7,1,3]
[6,5,2,4,3,1,7]=>[6,2,5,4,3,1,7]
[6,5,2,4,3,7,1]=>[6,2,5,4,3,7,1]
[6,5,2,4,7,1,3]=>[2,1,6,5,4,7,3]
[6,5,2,4,7,3,1]=>[6,2,5,4,7,3,1]
[6,5,2,7,1,3,4]=>[2,1,6,5,3,7,4]
[6,5,2,7,1,4,3]=>[6,2,5,7,1,4,3]
[6,5,2,7,3,1,4]=>[2,6,5,7,3,1,4]
[6,5,2,7,3,4,1]=>[2,6,5,7,3,4,1]
[6,5,2,7,4,1,3]=>[2,6,5,7,1,4,3]
[6,5,2,7,4,3,1]=>[6,5,7,4,2,3,1]
[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]
[6,5,3,1,2,7,4]=>[6,1,5,7,3,2,4]
[6,5,3,1,4,2,7]=>[3,6,5,4,1,2,7]
[6,5,3,1,4,7,2]=>[3,6,5,4,1,7,2]
[6,5,3,1,7,2,4]=>[3,6,5,1,7,2,4]
[6,5,3,1,7,4,2]=>[6,5,7,3,4,1,2]
[6,5,3,2,1,4,7]=>[3,6,5,2,1,4,7]
[6,5,3,2,1,7,4]=>[6,5,7,3,2,1,4]
[6,5,3,2,4,1,7]=>[3,6,5,2,4,1,7]
[6,5,3,2,4,7,1]=>[3,6,5,2,4,7,1]
[6,5,3,2,7,1,4]=>[3,6,5,2,1,7,4]
[6,5,3,2,7,4,1]=>[6,5,7,3,2,4,1]
[6,5,3,4,1,2,7]=>[1,3,6,5,4,2,7]
[6,5,3,4,1,7,2]=>[3,6,5,4,7,1,2]
[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]
[6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]
[6,5,3,4,7,1,2]=>[1,3,6,5,4,7,2]
[6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1]
[6,5,3,7,1,2,4]=>[1,3,6,5,2,7,4]
[6,5,3,7,1,4,2]=>[3,6,5,7,1,4,2]
[6,5,3,7,2,1,4]=>[3,6,5,2,7,1,4]
[6,5,3,7,2,4,1]=>[3,6,5,2,7,4,1]
[6,5,3,7,4,1,2]=>[1,6,5,7,3,4,2]
[6,5,3,7,4,2,1]=>[6,5,7,3,4,2,1]
[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]
[6,5,4,1,2,7,3]=>[6,1,5,4,7,2,3]
[6,5,4,1,3,2,7]=>[6,1,5,4,3,2,7]
[6,5,4,1,3,7,2]=>[6,1,5,4,3,7,2]
[6,5,4,1,7,2,3]=>[1,6,5,4,7,2,3]
[6,5,4,1,7,3,2]=>[6,5,4,7,3,1,2]
[6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7]
[6,5,4,2,1,7,3]=>[6,5,4,7,2,1,3]
[6,5,4,2,3,1,7]=>[2,6,5,4,3,1,7]
[6,5,4,2,3,7,1]=>[2,6,5,4,3,7,1]
[6,5,4,2,7,1,3]=>[2,6,5,4,1,7,3]
[6,5,4,2,7,3,1]=>[6,5,4,7,2,3,1]
[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]
[6,5,4,3,1,7,2]=>[6,5,4,3,7,1,2]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]
[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]
[6,5,4,3,7,1,2]=>[1,6,5,4,3,7,2]
[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]
[6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3]
[6,5,4,7,1,3,2]=>[6,1,5,4,7,3,2]
[6,5,4,7,2,1,3]=>[2,6,5,4,7,1,3]
[6,5,4,7,2,3,1]=>[2,6,5,4,7,3,1]
[6,5,4,7,3,1,2]=>[1,6,5,4,7,3,2]
[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]
[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]
[6,5,7,1,2,4,3]=>[6,1,2,5,7,4,3]
[6,5,7,1,3,2,4]=>[1,6,3,5,7,2,4]
[6,5,7,1,3,4,2]=>[3,1,6,5,7,4,2]
[6,5,7,1,4,2,3]=>[1,6,2,5,7,4,3]
[6,5,7,1,4,3,2]=>[6,5,1,7,4,3,2]
[6,5,7,2,1,3,4]=>[2,1,6,5,7,3,4]
[6,5,7,2,1,4,3]=>[6,2,5,7,4,1,3]
[6,5,7,2,3,1,4]=>[2,3,6,5,7,1,4]
[6,5,7,2,3,4,1]=>[2,3,6,5,7,4,1]
[6,5,7,2,4,1,3]=>[2,1,6,5,7,4,3]
[6,5,7,2,4,3,1]=>[6,2,5,7,4,3,1]
[6,5,7,3,1,2,4]=>[1,3,6,5,7,2,4]
[6,5,7,3,1,4,2]=>[3,6,5,7,4,1,2]
[6,5,7,3,2,1,4]=>[3,6,5,7,2,1,4]
[6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1]
[6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2]
[6,5,7,3,4,2,1]=>[3,6,5,7,4,2,1]
[6,5,7,4,1,2,3]=>[1,2,6,5,7,4,3]
[6,5,7,4,1,3,2]=>[6,1,5,7,4,3,2]
[6,5,7,4,2,1,3]=>[2,6,5,7,4,1,3]
[6,5,7,4,2,3,1]=>[2,6,5,7,4,3,1]
[6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2]
[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]
[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]
[6,7,1,2,3,5,4]=>[6,1,2,3,7,5,4]
[6,7,1,2,4,3,5]=>[1,6,2,4,7,3,5]
[6,7,1,2,4,5,3]=>[4,1,2,6,7,5,3]
[6,7,1,2,5,3,4]=>[1,6,2,3,7,5,4]
[6,7,1,2,5,4,3]=>[6,7,1,2,5,4,3]
[6,7,1,3,2,4,5]=>[1,3,6,2,7,4,5]
[6,7,1,3,2,5,4]=>[6,1,7,3,5,2,4]
[6,7,1,3,4,2,5]=>[3,1,4,6,7,2,5]
[6,7,1,3,4,5,2]=>[3,1,4,6,7,5,2]
[6,7,1,3,5,2,4]=>[3,1,2,6,7,5,4]
[6,7,1,3,5,4,2]=>[6,3,1,7,5,4,2]
[6,7,1,4,2,3,5]=>[1,2,6,4,7,3,5]
[6,7,1,4,2,5,3]=>[6,1,4,7,5,2,3]
[6,7,1,4,3,2,5]=>[1,6,7,4,3,2,5]
[6,7,1,4,3,5,2]=>[6,1,4,7,3,5,2]
[6,7,1,4,5,2,3]=>[1,4,2,6,7,5,3]
[6,7,1,4,5,3,2]=>[4,6,1,7,5,3,2]
[6,7,1,5,2,3,4]=>[1,2,6,3,7,5,4]
[6,7,1,5,2,4,3]=>[6,1,7,2,5,4,3]
[6,7,1,5,3,2,4]=>[1,6,7,3,5,2,4]
[6,7,1,5,3,4,2]=>[6,1,3,7,5,4,2]
[6,7,1,5,4,2,3]=>[1,6,7,2,5,4,3]
[6,7,1,5,4,3,2]=>[6,7,5,1,4,3,2]
[6,7,2,1,3,4,5]=>[2,1,3,6,7,4,5]
[6,7,2,1,3,5,4]=>[6,2,1,7,5,3,4]
[6,7,2,1,4,3,5]=>[2,6,4,7,1,3,5]
[6,7,2,1,4,5,3]=>[6,2,1,7,4,5,3]
[6,7,2,1,5,3,4]=>[2,6,1,7,5,3,4]
[6,7,2,1,5,4,3]=>[6,7,2,5,4,1,3]
[6,7,2,3,1,4,5]=>[2,3,1,6,7,4,5]
[6,7,2,3,1,5,4]=>[6,2,3,7,5,1,4]
[6,7,2,3,4,1,5]=>[2,3,4,6,7,1,5]
[6,7,2,3,4,5,1]=>[2,3,4,6,7,5,1]
[6,7,2,3,5,1,4]=>[2,3,1,6,7,5,4]
[6,7,2,3,5,4,1]=>[6,2,3,7,5,4,1]
[6,7,2,4,1,3,5]=>[2,1,4,6,7,3,5]
[6,7,2,4,1,5,3]=>[4,2,6,7,5,1,3]
[6,7,2,4,3,1,5]=>[2,6,4,7,3,1,5]
[6,7,2,4,3,5,1]=>[2,6,4,7,3,5,1]
[6,7,2,4,5,1,3]=>[2,1,4,6,7,5,3]
[6,7,2,4,5,3,1]=>[4,2,6,7,5,3,1]
[6,7,2,5,1,3,4]=>[2,1,3,6,7,5,4]
[6,7,2,5,1,4,3]=>[6,2,1,7,5,4,3]
[6,7,2,5,3,1,4]=>[2,6,3,7,5,1,4]
[6,7,2,5,3,4,1]=>[2,6,3,7,5,4,1]
[6,7,2,5,4,1,3]=>[2,6,1,7,5,4,3]
[6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]
[6,7,3,1,2,4,5]=>[1,3,2,6,7,4,5]
[6,7,3,1,2,5,4]=>[6,1,3,7,5,2,4]
[6,7,3,1,4,2,5]=>[3,4,6,7,1,2,5]
[6,7,3,1,4,5,2]=>[3,6,1,7,4,5,2]
[6,7,3,1,5,2,4]=>[3,1,6,7,5,2,4]
[6,7,3,1,5,4,2]=>[6,3,7,5,4,1,2]
[6,7,3,2,1,4,5]=>[3,2,6,7,1,4,5]
[6,7,3,2,1,5,4]=>[6,3,7,5,2,1,4]
[6,7,3,2,4,1,5]=>[3,2,6,7,4,1,5]
[6,7,3,2,4,5,1]=>[3,2,6,7,4,5,1]
[6,7,3,2,5,1,4]=>[3,2,6,7,1,5,4]
[6,7,3,2,5,4,1]=>[6,3,7,5,2,4,1]
[6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5]
[6,7,3,4,1,5,2]=>[3,4,6,7,5,1,2]
[6,7,3,4,2,1,5]=>[3,4,6,7,2,1,5]
[6,7,3,4,2,5,1]=>[3,4,6,7,2,5,1]
[6,7,3,4,5,1,2]=>[1,3,4,6,7,5,2]
[6,7,3,4,5,2,1]=>[3,4,6,7,5,2,1]
[6,7,3,5,1,2,4]=>[1,3,2,6,7,5,4]
[6,7,3,5,1,4,2]=>[3,6,1,7,5,4,2]
[6,7,3,5,2,1,4]=>[3,2,6,7,5,1,4]
[6,7,3,5,2,4,1]=>[3,2,6,7,5,4,1]
[6,7,3,5,4,1,2]=>[1,6,3,7,5,4,2]
[6,7,3,5,4,2,1]=>[6,3,7,5,4,2,1]
[6,7,4,1,2,3,5]=>[1,2,4,6,7,3,5]
[6,7,4,1,2,5,3]=>[4,1,6,7,5,2,3]
[6,7,4,1,3,2,5]=>[1,6,4,7,3,2,5]
[6,7,4,1,3,5,2]=>[4,1,6,7,3,5,2]
[6,7,4,1,5,2,3]=>[1,4,6,7,5,2,3]
[6,7,4,1,5,3,2]=>[4,6,7,5,3,1,2]
[6,7,4,2,1,3,5]=>[2,4,6,7,1,3,5]
[6,7,4,2,1,5,3]=>[4,6,7,5,2,1,3]
[6,7,4,2,3,1,5]=>[2,4,6,7,3,1,5]
[6,7,4,2,3,5,1]=>[2,4,6,7,3,5,1]
[6,7,4,2,5,1,3]=>[2,4,6,7,1,5,3]
[6,7,4,2,5,3,1]=>[4,6,7,5,2,3,1]
[6,7,4,3,1,2,5]=>[1,4,6,7,3,2,5]
[6,7,4,3,1,5,2]=>[4,6,7,3,5,1,2]
[6,7,4,3,2,1,5]=>[4,6,7,3,2,1,5]
[6,7,4,3,2,5,1]=>[4,6,7,3,2,5,1]
[6,7,4,3,5,1,2]=>[1,4,6,7,3,5,2]
[6,7,4,3,5,2,1]=>[4,6,7,3,5,2,1]
[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3]
[6,7,4,5,1,3,2]=>[4,1,6,7,5,3,2]
[6,7,4,5,2,1,3]=>[2,4,6,7,5,1,3]
[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1]
[6,7,4,5,3,1,2]=>[1,4,6,7,5,3,2]
[6,7,4,5,3,2,1]=>[4,6,7,5,3,2,1]
[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4]
[6,7,5,1,2,4,3]=>[6,1,2,7,5,4,3]
[6,7,5,1,3,2,4]=>[1,6,3,7,5,2,4]
[6,7,5,1,3,4,2]=>[3,1,6,7,5,4,2]
[6,7,5,1,4,2,3]=>[1,6,2,7,5,4,3]
[6,7,5,1,4,3,2]=>[6,7,1,5,4,3,2]
[6,7,5,2,1,3,4]=>[2,1,6,7,5,3,4]
[6,7,5,2,1,4,3]=>[6,2,7,5,4,1,3]
[6,7,5,2,3,1,4]=>[2,3,6,7,5,1,4]
[6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1]
[6,7,5,2,4,1,3]=>[2,1,6,7,5,4,3]
[6,7,5,2,4,3,1]=>[6,2,7,5,4,3,1]
[6,7,5,3,1,2,4]=>[1,3,6,7,5,2,4]
[6,7,5,3,1,4,2]=>[3,6,7,5,4,1,2]
[6,7,5,3,2,1,4]=>[3,6,7,5,2,1,4]
[6,7,5,3,2,4,1]=>[3,6,7,5,2,4,1]
[6,7,5,3,4,1,2]=>[1,3,6,7,5,4,2]
[6,7,5,3,4,2,1]=>[3,6,7,5,4,2,1]
[6,7,5,4,1,2,3]=>[1,2,6,7,5,4,3]
[6,7,5,4,1,3,2]=>[6,1,7,5,4,3,2]
[6,7,5,4,2,1,3]=>[2,6,7,5,4,1,3]
[6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1]
[6,7,5,4,3,1,2]=>[1,6,7,5,4,3,2]
[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]
[7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]
[7,1,2,3,5,4,6]=>[1,7,2,3,5,4,6]
[7,1,2,3,5,6,4]=>[5,1,2,3,7,6,4]
[7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]
[7,1,2,3,6,5,4]=>[7,6,1,2,3,5,4]
[7,1,2,4,3,5,6]=>[1,2,7,4,3,5,6]
[7,1,2,4,3,6,5]=>[7,1,6,2,4,3,5]
[7,1,2,4,5,3,6]=>[4,1,2,5,7,3,6]
[7,1,2,4,5,6,3]=>[4,1,2,5,7,6,3]
[7,1,2,4,6,3,5]=>[4,1,2,3,7,6,5]
[7,1,2,4,6,5,3]=>[7,4,1,2,6,5,3]
[7,1,2,5,3,4,6]=>[1,2,7,3,5,4,6]
[7,1,2,5,3,6,4]=>[7,1,5,2,6,3,4]
[7,1,2,5,4,3,6]=>[5,7,1,2,4,3,6]
[7,1,2,5,4,6,3]=>[7,1,5,2,4,6,3]
[7,1,2,5,6,3,4]=>[1,5,2,3,7,6,4]
[7,1,2,5,6,4,3]=>[5,7,1,2,6,4,3]
[7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]
[7,1,2,6,3,5,4]=>[7,1,6,2,3,5,4]
[7,1,2,6,4,3,5]=>[1,7,6,2,4,3,5]
[7,1,2,6,4,5,3]=>[7,1,4,2,6,5,3]
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]
[7,1,2,6,5,4,3]=>[7,6,5,1,2,4,3]
[7,1,3,2,4,5,6]=>[1,3,2,7,4,5,6]
[7,1,3,2,4,6,5]=>[7,1,3,6,2,4,5]
[7,1,3,2,5,4,6]=>[1,7,5,3,2,4,6]
[7,1,3,2,5,6,4]=>[7,1,3,5,2,6,4]
[7,1,3,2,6,4,5]=>[1,7,3,6,2,4,5]
[7,1,3,2,6,5,4]=>[7,6,1,5,3,2,4]
[7,1,3,4,2,5,6]=>[3,1,4,2,7,5,6]
[7,1,3,4,2,6,5]=>[7,3,1,4,6,2,5]
[7,1,3,4,5,2,6]=>[3,1,4,5,7,2,6]
[7,1,3,4,5,6,2]=>[3,1,4,5,7,6,2]
[7,1,3,4,6,2,5]=>[3,1,4,2,7,6,5]
[7,1,3,4,6,5,2]=>[7,3,1,4,6,5,2]
[7,1,3,5,2,4,6]=>[3,1,2,5,7,4,6]
[7,1,3,5,2,6,4]=>[5,3,1,7,6,2,4]
[7,1,3,5,4,2,6]=>[3,7,1,5,4,2,6]
[7,1,3,5,4,6,2]=>[7,1,3,5,4,6,2]
[7,1,3,5,6,2,4]=>[3,1,2,5,7,6,4]
[7,1,3,5,6,4,2]=>[5,3,1,7,6,4,2]
[7,1,3,6,2,4,5]=>[3,1,2,4,7,6,5]
[7,1,3,6,2,5,4]=>[7,3,1,2,6,5,4]
[7,1,3,6,4,2,5]=>[3,7,1,4,6,2,5]
[7,1,3,6,4,5,2]=>[7,1,3,4,6,5,2]
[7,1,3,6,5,2,4]=>[3,7,1,2,6,5,4]
[7,1,3,6,5,4,2]=>[7,6,3,1,5,4,2]
[7,1,4,2,3,5,6]=>[1,2,4,7,3,5,6]
[7,1,4,2,3,6,5]=>[7,1,2,6,4,3,5]
[7,1,4,2,5,3,6]=>[1,7,4,5,2,3,6]
[7,1,4,2,5,6,3]=>[4,1,7,5,2,6,3]
[7,1,4,2,6,3,5]=>[1,7,4,2,6,3,5]
[7,1,4,2,6,5,3]=>[7,6,1,4,5,2,3]
[7,1,4,3,2,5,6]=>[4,1,7,3,2,5,6]
[7,1,4,3,2,6,5]=>[7,4,6,1,3,2,5]
[7,1,4,3,5,2,6]=>[1,7,4,3,5,2,6]
[7,1,4,3,5,6,2]=>[4,1,7,3,5,6,2]
[7,1,4,3,6,2,5]=>[1,7,4,3,2,6,5]
[7,1,4,3,6,5,2]=>[7,6,1,4,3,5,2]
[7,1,4,5,2,3,6]=>[1,4,2,5,7,3,6]
[7,1,4,5,2,6,3]=>[4,5,1,7,6,2,3]
[7,1,4,5,3,2,6]=>[4,1,7,5,3,2,6]
[7,1,4,5,3,6,2]=>[4,5,1,7,3,6,2]
[7,1,4,5,6,2,3]=>[1,4,2,5,7,6,3]
[7,1,4,5,6,3,2]=>[4,5,1,7,6,3,2]
[7,1,4,6,2,3,5]=>[1,4,2,3,7,6,5]
[7,1,4,6,2,5,3]=>[4,7,1,2,6,5,3]
[7,1,4,6,3,2,5]=>[4,1,7,3,6,2,5]
[7,1,4,6,3,5,2]=>[4,3,1,7,6,5,2]
[7,1,4,6,5,2,3]=>[1,7,4,2,6,5,3]
[7,1,4,6,5,3,2]=>[7,4,6,1,5,3,2]
[7,1,5,2,3,4,6]=>[1,2,3,7,5,4,6]
[7,1,5,2,3,6,4]=>[7,1,2,5,6,3,4]
[7,1,5,2,4,3,6]=>[1,7,5,2,4,3,6]
[7,1,5,2,4,6,3]=>[7,1,2,5,4,6,3]
[7,1,5,2,6,3,4]=>[1,7,2,5,6,3,4]
[7,1,5,2,6,4,3]=>[7,5,1,6,4,2,3]
[7,1,5,3,2,4,6]=>[1,5,7,3,2,4,6]
[7,1,5,3,2,6,4]=>[5,7,6,1,3,2,4]
[7,1,5,3,4,2,6]=>[1,7,3,5,4,2,6]
[7,1,5,3,4,6,2]=>[3,1,7,5,4,6,2]
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]
[7,1,5,3,6,4,2]=>[7,5,1,6,3,4,2]
[7,1,5,4,2,3,6]=>[1,5,7,2,4,3,6]
[7,1,5,4,2,6,3]=>[5,7,4,1,6,2,3]
[7,1,5,4,3,2,6]=>[5,7,4,1,3,2,6]
[7,1,5,4,3,6,2]=>[5,7,4,1,3,6,2]
[7,1,5,4,6,2,3]=>[1,7,2,5,4,6,3]
[7,1,5,4,6,3,2]=>[7,5,1,4,6,3,2]
[7,1,5,6,2,3,4]=>[1,2,5,3,7,6,4]
[7,1,5,6,2,4,3]=>[5,1,7,2,6,4,3]
[7,1,5,6,3,2,4]=>[1,5,7,3,6,2,4]
[7,1,5,6,3,4,2]=>[5,1,3,7,6,4,2]
[7,1,5,6,4,2,3]=>[1,5,7,2,6,4,3]
[7,1,5,6,4,3,2]=>[5,7,6,1,4,3,2]
[7,1,6,2,3,4,5]=>[1,2,3,7,4,6,5]
[7,1,6,2,3,5,4]=>[7,1,2,6,3,5,4]
[7,1,6,2,4,3,5]=>[1,7,2,6,4,3,5]
[7,1,6,2,4,5,3]=>[7,1,2,4,6,5,3]
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]
[7,1,6,2,5,4,3]=>[7,6,1,5,2,4,3]
[7,1,6,3,2,4,5]=>[1,3,7,6,2,4,5]
[7,1,6,3,2,5,4]=>[7,1,6,5,3,2,4]
[7,1,6,3,4,2,5]=>[1,7,3,4,6,2,5]
[7,1,6,3,4,5,2]=>[3,1,7,4,6,5,2]
[7,1,6,3,5,2,4]=>[1,7,3,2,6,5,4]
[7,1,6,3,5,4,2]=>[7,6,1,3,5,4,2]
[7,1,6,4,2,3,5]=>[1,2,7,6,4,3,5]
[7,1,6,4,2,5,3]=>[7,1,6,4,5,2,3]
[7,1,6,4,3,2,5]=>[4,7,6,1,3,2,5]
[7,1,6,4,3,5,2]=>[7,1,6,4,3,5,2]
[7,1,6,4,5,2,3]=>[1,7,2,4,6,5,3]
[7,1,6,4,5,3,2]=>[7,4,1,6,5,3,2]
[7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]
[7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]
[7,1,6,5,3,2,4]=>[1,7,6,5,3,2,4]
[7,1,6,5,3,4,2]=>[7,1,6,3,5,4,2]
[7,1,6,5,4,2,3]=>[1,7,6,5,2,4,3]
[7,1,6,5,4,3,2]=>[7,6,5,4,1,3,2]
[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6]
[7,2,1,3,4,6,5]=>[7,2,1,3,6,4,5]
[7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]
[7,2,1,3,5,6,4]=>[7,2,1,3,5,6,4]
[7,2,1,3,6,4,5]=>[2,7,1,3,6,4,5]
[7,2,1,3,6,5,4]=>[7,6,2,1,5,3,4]
[7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]
[7,2,1,4,3,6,5]=>[7,2,6,4,1,3,5]
[7,2,1,4,5,3,6]=>[2,7,1,4,5,3,6]
[7,2,1,4,5,6,3]=>[4,2,1,7,5,6,3]
[7,2,1,4,6,3,5]=>[2,7,1,4,3,6,5]
[7,2,1,4,6,5,3]=>[7,6,2,1,4,5,3]
[7,2,1,5,3,4,6]=>[2,1,7,5,3,4,6]
[7,2,1,5,3,6,4]=>[7,2,5,6,1,3,4]
[7,2,1,5,4,3,6]=>[5,7,2,4,1,3,6]
[7,2,1,5,4,6,3]=>[7,2,5,4,1,6,3]
[7,2,1,5,6,3,4]=>[2,7,1,3,5,6,4]
[7,2,1,5,6,4,3]=>[7,5,2,1,6,4,3]
[7,2,1,6,3,4,5]=>[2,1,7,3,6,4,5]
[7,2,1,6,3,5,4]=>[7,2,6,1,5,3,4]
[7,2,1,6,4,3,5]=>[2,7,6,4,1,3,5]
[7,2,1,6,4,5,3]=>[7,2,6,1,4,5,3]
[7,2,1,6,5,3,4]=>[2,7,6,1,5,3,4]
[7,2,1,6,5,4,3]=>[7,6,5,2,4,1,3]
[7,2,3,1,4,5,6]=>[2,3,1,4,7,5,6]
[7,2,3,1,4,6,5]=>[7,2,3,1,6,4,5]
[7,2,3,1,5,4,6]=>[2,7,3,5,1,4,6]
[7,2,3,1,5,6,4]=>[7,2,3,1,5,6,4]
[7,2,3,1,6,4,5]=>[2,7,3,1,6,4,5]
[7,2,3,1,6,5,4]=>[7,6,2,3,5,1,4]
[7,2,3,4,1,5,6]=>[2,3,4,1,7,5,6]
[7,2,3,4,1,6,5]=>[7,2,3,4,6,1,5]
[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]
[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]
[7,2,3,4,6,1,5]=>[2,3,4,1,7,6,5]
[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]
[7,2,3,5,1,4,6]=>[2,3,1,5,7,4,6]
[7,2,3,5,1,6,4]=>[5,2,3,7,6,1,4]
[7,2,3,5,4,1,6]=>[2,7,3,5,4,1,6]
[7,2,3,5,4,6,1]=>[2,7,3,5,4,6,1]
[7,2,3,5,6,1,4]=>[2,3,1,5,7,6,4]
[7,2,3,5,6,4,1]=>[5,2,3,7,6,4,1]
[7,2,3,6,1,4,5]=>[2,3,1,4,7,6,5]
[7,2,3,6,1,5,4]=>[7,2,3,1,6,5,4]
[7,2,3,6,4,1,5]=>[2,7,3,4,6,1,5]
[7,2,3,6,4,5,1]=>[2,7,3,4,6,5,1]
[7,2,3,6,5,1,4]=>[2,7,3,1,6,5,4]
[7,2,3,6,5,4,1]=>[7,6,2,3,5,4,1]
[7,2,4,1,3,5,6]=>[2,1,4,3,7,5,6]
[7,2,4,1,3,6,5]=>[7,2,1,4,6,3,5]
[7,2,4,1,5,3,6]=>[4,2,5,7,1,3,6]
[7,2,4,1,5,6,3]=>[4,2,7,1,5,6,3]
[7,2,4,1,6,3,5]=>[4,2,1,7,6,3,5]
[7,2,4,1,6,5,3]=>[7,4,2,6,5,1,3]
[7,2,4,3,1,5,6]=>[2,4,7,3,1,5,6]
[7,2,4,3,1,6,5]=>[7,2,6,4,3,1,5]
[7,2,4,3,5,1,6]=>[2,4,7,3,5,1,6]
[7,2,4,3,5,6,1]=>[2,4,7,3,5,6,1]
[7,2,4,3,6,1,5]=>[2,4,7,3,1,6,5]
[7,2,4,3,6,5,1]=>[7,2,6,4,3,5,1]
[7,2,4,5,1,3,6]=>[2,1,4,5,7,3,6]
[7,2,4,5,1,6,3]=>[4,2,5,7,6,1,3]
[7,2,4,5,3,1,6]=>[4,2,5,7,3,1,6]
[7,2,4,5,3,6,1]=>[4,2,5,7,3,6,1]
[7,2,4,5,6,1,3]=>[2,1,4,5,7,6,3]
[7,2,4,5,6,3,1]=>[4,2,5,7,6,3,1]
[7,2,4,6,1,3,5]=>[2,1,4,3,7,6,5]
[7,2,4,6,1,5,3]=>[4,2,7,1,6,5,3]
[7,2,4,6,3,1,5]=>[4,2,3,7,6,1,5]
[7,2,4,6,3,5,1]=>[4,2,3,7,6,5,1]
[7,2,4,6,5,1,3]=>[2,7,1,4,6,5,3]
[7,2,4,6,5,3,1]=>[7,4,2,6,5,3,1]
[7,2,5,1,3,4,6]=>[2,1,3,5,7,4,6]
[7,2,5,1,3,6,4]=>[5,2,1,7,6,3,4]
[7,2,5,1,4,3,6]=>[2,7,1,5,4,3,6]
[7,2,5,1,4,6,3]=>[5,2,1,7,4,6,3]
[7,2,5,1,6,3,4]=>[2,5,1,7,6,3,4]
[7,2,5,1,6,4,3]=>[5,7,2,6,4,1,3]
[7,2,5,3,1,4,6]=>[2,3,7,5,1,4,6]
[7,2,5,3,1,6,4]=>[7,2,5,6,3,1,4]
[7,2,5,3,4,1,6]=>[2,3,7,5,4,1,6]
[7,2,5,3,4,6,1]=>[2,3,7,5,4,6,1]
[7,2,5,3,6,1,4]=>[2,3,7,5,1,6,4]
[7,2,5,3,6,4,1]=>[7,2,5,6,3,4,1]
[7,2,5,4,1,3,6]=>[2,1,7,5,4,3,6]
[7,2,5,4,1,6,3]=>[7,2,5,4,6,1,3]
[7,2,5,4,3,1,6]=>[5,7,2,4,3,1,6]
[7,2,5,4,3,6,1]=>[5,7,2,4,3,6,1]
[7,2,5,4,6,1,3]=>[2,1,7,5,4,6,3]
[7,2,5,4,6,3,1]=>[7,2,5,4,6,3,1]
[7,2,5,6,1,3,4]=>[2,1,3,5,7,6,4]
[7,2,5,6,1,4,3]=>[5,2,1,7,6,4,3]
[7,2,5,6,3,1,4]=>[2,5,3,7,6,1,4]
[7,2,5,6,3,4,1]=>[2,5,3,7,6,4,1]
[7,2,5,6,4,1,3]=>[2,5,1,7,6,4,3]
[7,2,5,6,4,3,1]=>[5,7,2,6,4,3,1]
[7,2,6,1,3,4,5]=>[2,1,3,4,7,6,5]
[7,2,6,1,3,5,4]=>[7,2,1,3,6,5,4]
[7,2,6,1,4,3,5]=>[2,7,1,4,6,3,5]
[7,2,6,1,4,5,3]=>[4,2,1,7,6,5,3]
[7,2,6,1,5,3,4]=>[2,7,1,3,6,5,4]
[7,2,6,1,5,4,3]=>[7,6,2,1,5,4,3]
[7,2,6,3,1,4,5]=>[2,3,7,1,6,4,5]
[7,2,6,3,1,5,4]=>[7,2,6,3,5,1,4]
[7,2,6,3,4,1,5]=>[2,3,7,4,6,1,5]
[7,2,6,3,4,5,1]=>[2,3,7,4,6,5,1]
[7,2,6,3,5,1,4]=>[2,3,7,1,6,5,4]
[7,2,6,3,5,4,1]=>[7,2,6,3,5,4,1]
[7,2,6,4,1,3,5]=>[2,1,7,4,6,3,5]
[7,2,6,4,1,5,3]=>[7,2,4,6,5,1,3]
[7,2,6,4,3,1,5]=>[2,7,6,4,3,1,5]
[7,2,6,4,3,5,1]=>[2,7,6,4,3,5,1]
[7,2,6,4,5,1,3]=>[2,1,7,4,6,5,3]
[7,2,6,4,5,3,1]=>[7,2,4,6,5,3,1]
[7,2,6,5,1,3,4]=>[2,1,7,3,6,5,4]
[7,2,6,5,1,4,3]=>[7,2,6,1,5,4,3]
[7,2,6,5,3,1,4]=>[2,7,6,3,5,1,4]
[7,2,6,5,3,4,1]=>[2,7,6,3,5,4,1]
[7,2,6,5,4,1,3]=>[2,7,6,1,5,4,3]
[7,2,6,5,4,3,1]=>[7,6,5,2,4,3,1]
[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]
[7,3,1,2,4,6,5]=>[7,1,3,2,6,4,5]
[7,3,1,2,5,4,6]=>[1,7,3,5,2,4,6]
[7,3,1,2,5,6,4]=>[7,1,3,2,5,6,4]
[7,3,1,2,6,4,5]=>[1,7,3,2,6,4,5]
[7,3,1,2,6,5,4]=>[7,6,1,3,5,2,4]
[7,3,1,4,2,5,6]=>[3,4,1,7,2,5,6]
[7,3,1,4,2,6,5]=>[7,3,4,6,1,2,5]
[7,3,1,4,5,2,6]=>[3,1,7,4,5,2,6]
[7,3,1,4,5,6,2]=>[3,4,1,7,5,6,2]
[7,3,1,4,6,2,5]=>[3,1,7,4,2,6,5]
[7,3,1,4,6,5,2]=>[7,3,6,1,4,5,2]
[7,3,1,5,2,4,6]=>[3,1,5,7,2,4,6]
[7,3,1,5,2,6,4]=>[5,3,7,6,1,2,4]
[7,3,1,5,4,2,6]=>[3,7,5,4,1,2,6]
[7,3,1,5,4,6,2]=>[3,7,5,4,1,6,2]
[7,3,1,5,6,2,4]=>[3,1,7,2,5,6,4]
[7,3,1,5,6,4,2]=>[7,3,5,1,6,4,2]
[7,3,1,6,2,4,5]=>[3,1,2,7,6,4,5]
[7,3,1,6,2,5,4]=>[7,3,1,6,5,2,4]
[7,3,1,6,4,2,5]=>[3,7,4,6,1,2,5]
[7,3,1,6,4,5,2]=>[3,7,6,1,4,5,2]
[7,3,1,6,5,2,4]=>[3,7,1,6,5,2,4]
[7,3,1,6,5,4,2]=>[7,6,3,5,4,1,2]
[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6]
[7,3,2,1,4,6,5]=>[7,3,2,6,1,4,5]
[7,3,2,1,5,4,6]=>[3,7,5,2,1,4,6]
[7,3,2,1,5,6,4]=>[7,3,2,5,1,6,4]
[7,3,2,1,6,4,5]=>[3,7,2,6,1,4,5]
[7,3,2,1,6,5,4]=>[7,6,3,5,2,1,4]
[7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6]
[7,3,2,4,1,6,5]=>[7,3,2,6,4,1,5]
[7,3,2,4,5,1,6]=>[3,2,4,7,5,1,6]
[7,3,2,4,5,6,1]=>[3,2,4,7,5,6,1]
[7,3,2,4,6,1,5]=>[3,2,4,7,1,6,5]
[7,3,2,4,6,5,1]=>[7,3,2,6,4,5,1]
[7,3,2,5,1,4,6]=>[3,2,1,7,5,4,6]
[7,3,2,5,1,6,4]=>[7,3,2,5,6,1,4]
[7,3,2,5,4,1,6]=>[3,7,5,2,4,1,6]
[7,3,2,5,4,6,1]=>[3,7,5,2,4,6,1]
[7,3,2,5,6,1,4]=>[3,2,1,7,5,6,4]
[7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]
[7,3,2,6,1,4,5]=>[3,2,1,7,4,6,5]
[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]
[7,3,2,6,4,1,5]=>[3,7,2,6,4,1,5]
[7,3,2,6,4,5,1]=>[3,7,2,6,4,5,1]
[7,3,2,6,5,1,4]=>[3,7,2,6,1,5,4]
[7,3,2,6,5,4,1]=>[7,6,3,5,2,4,1]
[7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6]
[7,3,4,1,2,6,5]=>[7,1,3,4,6,2,5]
[7,3,4,1,5,2,6]=>[3,4,5,7,1,2,6]
[7,3,4,1,5,6,2]=>[3,4,7,1,5,6,2]
[7,3,4,1,6,2,5]=>[3,4,1,7,6,2,5]
[7,3,4,1,6,5,2]=>[7,3,4,6,5,1,2]
[7,3,4,2,1,5,6]=>[3,4,2,7,1,5,6]
[7,3,4,2,1,6,5]=>[7,3,4,6,2,1,5]
[7,3,4,2,5,1,6]=>[3,4,2,7,5,1,6]
[7,3,4,2,5,6,1]=>[3,4,2,7,5,6,1]
[7,3,4,2,6,1,5]=>[3,4,2,7,1,6,5]
[7,3,4,2,6,5,1]=>[7,3,4,6,2,5,1]
[7,3,4,5,1,2,6]=>[1,3,4,5,7,2,6]
[7,3,4,5,1,6,2]=>[3,4,5,7,6,1,2]
[7,3,4,5,2,1,6]=>[3,4,5,7,2,1,6]
[7,3,4,5,2,6,1]=>[3,4,5,7,2,6,1]
[7,3,4,5,6,1,2]=>[1,3,4,5,7,6,2]
[7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]
[7,3,4,6,1,2,5]=>[1,3,4,2,7,6,5]
[7,3,4,6,1,5,2]=>[3,4,7,1,6,5,2]
[7,3,4,6,2,1,5]=>[3,4,2,7,6,1,5]
[7,3,4,6,2,5,1]=>[3,4,2,7,6,5,1]
[7,3,4,6,5,1,2]=>[1,7,3,4,6,5,2]
[7,3,4,6,5,2,1]=>[7,3,4,6,5,2,1]
[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]
[7,3,5,1,2,6,4]=>[5,1,3,7,6,2,4]
[7,3,5,1,4,2,6]=>[3,1,7,5,4,2,6]
[7,3,5,1,4,6,2]=>[3,5,1,7,4,6,2]
[7,3,5,1,6,2,4]=>[3,1,5,7,6,2,4]
[7,3,5,1,6,4,2]=>[5,3,7,6,4,1,2]
[7,3,5,2,1,4,6]=>[3,2,5,7,1,4,6]
[7,3,5,2,1,6,4]=>[5,3,7,6,2,1,4]
[7,3,5,2,4,1,6]=>[3,2,5,7,4,1,6]
[7,3,5,2,4,6,1]=>[3,2,5,7,4,6,1]
[7,3,5,2,6,1,4]=>[3,2,5,7,1,6,4]
[7,3,5,2,6,4,1]=>[5,3,7,6,2,4,1]
[7,3,5,4,1,2,6]=>[1,3,7,5,4,2,6]
[7,3,5,4,1,6,2]=>[3,7,5,4,6,1,2]
[7,3,5,4,2,1,6]=>[3,7,5,4,2,1,6]
[7,3,5,4,2,6,1]=>[3,7,5,4,2,6,1]
[7,3,5,4,6,1,2]=>[1,3,7,5,4,6,2]
[7,3,5,4,6,2,1]=>[3,7,5,4,6,2,1]
[7,3,5,6,1,2,4]=>[1,3,2,5,7,6,4]
[7,3,5,6,1,4,2]=>[3,5,1,7,6,4,2]
[7,3,5,6,2,1,4]=>[3,2,5,7,6,1,4]
[7,3,5,6,2,4,1]=>[3,2,5,7,6,4,1]
[7,3,5,6,4,1,2]=>[1,5,3,7,6,4,2]
[7,3,5,6,4,2,1]=>[5,3,7,6,4,2,1]
[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]
[7,3,6,1,2,5,4]=>[7,1,3,2,6,5,4]
[7,3,6,1,4,2,5]=>[3,1,7,4,6,2,5]
[7,3,6,1,4,5,2]=>[3,4,1,7,6,5,2]
[7,3,6,1,5,2,4]=>[3,1,7,2,6,5,4]
[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]
[7,3,6,2,1,4,5]=>[3,2,1,7,6,4,5]
[7,3,6,2,1,5,4]=>[7,3,2,6,5,1,4]
[7,3,6,2,4,1,5]=>[3,2,4,7,6,1,5]
[7,3,6,2,4,5,1]=>[3,2,4,7,6,5,1]
[7,3,6,2,5,1,4]=>[3,2,1,7,6,5,4]
[7,3,6,2,5,4,1]=>[7,3,2,6,5,4,1]
[7,3,6,4,1,2,5]=>[1,3,7,4,6,2,5]
[7,3,6,4,1,5,2]=>[3,7,4,6,5,1,2]
[7,3,6,4,2,1,5]=>[3,7,4,6,2,1,5]
[7,3,6,4,2,5,1]=>[3,7,4,6,2,5,1]
[7,3,6,4,5,1,2]=>[1,3,7,4,6,5,2]
[7,3,6,4,5,2,1]=>[3,7,4,6,5,2,1]
[7,3,6,5,1,2,4]=>[1,3,7,2,6,5,4]
[7,3,6,5,1,4,2]=>[3,7,6,1,5,4,2]
[7,3,6,5,2,1,4]=>[3,7,2,6,5,1,4]
[7,3,6,5,2,4,1]=>[3,7,2,6,5,4,1]
[7,3,6,5,4,1,2]=>[1,7,6,3,5,4,2]
[7,3,6,5,4,2,1]=>[7,6,3,5,4,2,1]
[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]
[7,4,1,2,3,6,5]=>[7,1,2,4,6,3,5]
[7,4,1,2,5,3,6]=>[4,1,5,7,2,3,6]
[7,4,1,2,5,6,3]=>[4,1,7,2,5,6,3]
[7,4,1,2,6,3,5]=>[4,1,2,7,6,3,5]
[7,4,1,2,6,5,3]=>[7,4,1,6,5,2,3]
[7,4,1,3,2,5,6]=>[1,4,7,3,2,5,6]
[7,4,1,3,2,6,5]=>[7,1,6,4,3,2,5]
[7,4,1,3,5,2,6]=>[4,1,3,7,5,2,6]
[7,4,1,3,5,6,2]=>[4,1,3,7,5,6,2]
[7,4,1,3,6,2,5]=>[4,1,3,7,2,6,5]
[7,4,1,3,6,5,2]=>[7,4,1,6,3,5,2]
[7,4,1,5,2,3,6]=>[1,4,5,7,2,3,6]
[7,4,1,5,2,6,3]=>[4,5,7,6,1,2,3]
[7,4,1,5,3,2,6]=>[4,5,7,3,1,2,6]
[7,4,1,5,3,6,2]=>[4,5,7,3,1,6,2]
[7,4,1,5,6,2,3]=>[1,4,7,2,5,6,3]
[7,4,1,5,6,3,2]=>[4,7,5,1,6,3,2]
[7,4,1,6,2,3,5]=>[1,4,2,7,6,3,5]
[7,4,1,6,2,5,3]=>[4,7,1,6,5,2,3]
[7,4,1,6,3,2,5]=>[4,3,7,6,1,2,5]
[7,4,1,6,3,5,2]=>[4,7,1,6,3,5,2]
[7,4,1,6,5,2,3]=>[1,7,4,6,5,2,3]
[7,4,1,6,5,3,2]=>[7,4,6,5,3,1,2]
[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]
[7,4,2,1,3,6,5]=>[7,2,4,6,1,3,5]
[7,4,2,1,5,3,6]=>[4,5,7,2,1,3,6]
[7,4,2,1,5,6,3]=>[4,7,2,5,1,6,3]
[7,4,2,1,6,3,5]=>[4,2,7,6,1,3,5]
[7,4,2,1,6,5,3]=>[7,4,6,5,2,1,3]
[7,4,2,3,1,5,6]=>[2,4,3,7,1,5,6]
[7,4,2,3,1,6,5]=>[7,2,4,6,3,1,5]
[7,4,2,3,5,1,6]=>[2,4,3,7,5,1,6]
[7,4,2,3,5,6,1]=>[2,4,3,7,5,6,1]
[7,4,2,3,6,1,5]=>[2,4,3,7,1,6,5]
[7,4,2,3,6,5,1]=>[7,2,4,6,3,5,1]
[7,4,2,5,1,3,6]=>[2,4,1,7,5,3,6]
[7,4,2,5,1,6,3]=>[4,7,2,5,6,1,3]
[7,4,2,5,3,1,6]=>[4,5,7,2,3,1,6]
[7,4,2,5,3,6,1]=>[4,5,7,2,3,6,1]
[7,4,2,5,6,1,3]=>[2,4,1,7,5,6,3]
[7,4,2,5,6,3,1]=>[4,7,2,5,6,3,1]
[7,4,2,6,1,3,5]=>[2,4,1,7,3,6,5]
[7,4,2,6,1,5,3]=>[4,7,2,6,1,5,3]
[7,4,2,6,3,1,5]=>[4,2,7,6,3,1,5]
[7,4,2,6,3,5,1]=>[4,2,7,6,3,5,1]
[7,4,2,6,5,1,3]=>[2,7,4,6,1,5,3]
[7,4,2,6,5,3,1]=>[7,4,6,5,2,3,1]
[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]
[7,4,3,1,2,6,5]=>[7,1,4,6,3,2,5]
[7,4,3,1,5,2,6]=>[4,3,7,5,1,2,6]
[7,4,3,1,5,6,2]=>[4,3,7,5,1,6,2]
[7,4,3,1,6,2,5]=>[4,3,7,1,6,2,5]
[7,4,3,1,6,5,2]=>[7,4,6,3,5,1,2]
[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6]
[7,4,3,2,1,6,5]=>[7,4,6,3,2,1,5]
[7,4,3,2,5,1,6]=>[4,3,7,2,5,1,6]
[7,4,3,2,5,6,1]=>[4,3,7,2,5,6,1]
[7,4,3,2,6,1,5]=>[4,3,7,2,1,6,5]
[7,4,3,2,6,5,1]=>[7,4,6,3,2,5,1]
[7,4,3,5,1,2,6]=>[1,4,3,7,5,2,6]
[7,4,3,5,1,6,2]=>[4,3,7,5,6,1,2]
[7,4,3,5,2,1,6]=>[4,3,7,5,2,1,6]
[7,4,3,5,2,6,1]=>[4,3,7,5,2,6,1]
[7,4,3,5,6,1,2]=>[1,4,3,7,5,6,2]
[7,4,3,5,6,2,1]=>[4,3,7,5,6,2,1]
[7,4,3,6,1,2,5]=>[1,4,3,7,2,6,5]
[7,4,3,6,1,5,2]=>[4,3,7,6,1,5,2]
[7,4,3,6,2,1,5]=>[4,3,7,2,6,1,5]
[7,4,3,6,2,5,1]=>[4,3,7,2,6,5,1]
[7,4,3,6,5,1,2]=>[1,7,4,6,3,5,2]
[7,4,3,6,5,2,1]=>[7,4,6,3,5,2,1]
[7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6]
[7,4,5,1,2,6,3]=>[4,1,5,7,6,2,3]
[7,4,5,1,3,2,6]=>[4,1,5,7,3,2,6]
[7,4,5,1,3,6,2]=>[4,1,5,7,3,6,2]
[7,4,5,1,6,2,3]=>[1,4,5,7,6,2,3]
[7,4,5,1,6,3,2]=>[4,5,7,6,3,1,2]
[7,4,5,2,1,3,6]=>[2,4,5,7,1,3,6]
[7,4,5,2,1,6,3]=>[4,5,7,6,2,1,3]
[7,4,5,2,3,1,6]=>[2,4,5,7,3,1,6]
[7,4,5,2,3,6,1]=>[2,4,5,7,3,6,1]
[7,4,5,2,6,1,3]=>[2,4,5,7,1,6,3]
[7,4,5,2,6,3,1]=>[4,5,7,6,2,3,1]
[7,4,5,3,1,2,6]=>[1,4,5,7,3,2,6]
[7,4,5,3,1,6,2]=>[4,5,7,3,6,1,2]
[7,4,5,3,2,1,6]=>[4,5,7,3,2,1,6]
[7,4,5,3,2,6,1]=>[4,5,7,3,2,6,1]
[7,4,5,3,6,1,2]=>[1,4,5,7,3,6,2]
[7,4,5,3,6,2,1]=>[4,5,7,3,6,2,1]
[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3]
[7,4,5,6,1,3,2]=>[4,1,5,7,6,3,2]
[7,4,5,6,2,1,3]=>[2,4,5,7,6,1,3]
[7,4,5,6,2,3,1]=>[2,4,5,7,6,3,1]
[7,4,5,6,3,1,2]=>[1,4,5,7,6,3,2]
[7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1]
[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]
[7,4,6,1,2,5,3]=>[4,1,7,2,6,5,3]
[7,4,6,1,3,2,5]=>[4,1,3,7,6,2,5]
[7,4,6,1,3,5,2]=>[4,1,3,7,6,5,2]
[7,4,6,1,5,2,3]=>[1,4,7,2,6,5,3]
[7,4,6,1,5,3,2]=>[4,7,6,1,5,3,2]
[7,4,6,2,1,3,5]=>[2,4,1,7,6,3,5]
[7,4,6,2,1,5,3]=>[4,7,2,6,5,1,3]
[7,4,6,2,3,1,5]=>[2,4,3,7,6,1,5]
[7,4,6,2,3,5,1]=>[2,4,3,7,6,5,1]
[7,4,6,2,5,1,3]=>[2,4,1,7,6,5,3]
[7,4,6,2,5,3,1]=>[4,7,2,6,5,3,1]
[7,4,6,3,1,2,5]=>[1,4,3,7,6,2,5]
[7,4,6,3,1,5,2]=>[4,3,7,6,5,1,2]
[7,4,6,3,2,1,5]=>[4,3,7,6,2,1,5]
[7,4,6,3,2,5,1]=>[4,3,7,6,2,5,1]
[7,4,6,3,5,1,2]=>[1,4,3,7,6,5,2]
[7,4,6,3,5,2,1]=>[4,3,7,6,5,2,1]
[7,4,6,5,1,2,3]=>[1,2,7,4,6,5,3]
[7,4,6,5,1,3,2]=>[7,1,4,6,5,3,2]
[7,4,6,5,2,1,3]=>[2,7,4,6,5,1,3]
[7,4,6,5,2,3,1]=>[2,7,4,6,5,3,1]
[7,4,6,5,3,1,2]=>[1,7,4,6,5,3,2]
[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]
[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]
[7,5,1,2,3,6,4]=>[5,1,2,7,6,3,4]
[7,5,1,2,4,3,6]=>[1,7,2,5,4,3,6]
[7,5,1,2,4,6,3]=>[5,1,2,7,4,6,3]
[7,5,1,2,6,3,4]=>[1,5,2,7,6,3,4]
[7,5,1,2,6,4,3]=>[5,7,1,6,4,2,3]
[7,5,1,3,2,4,6]=>[1,3,7,5,2,4,6]
[7,5,1,3,2,6,4]=>[7,1,5,6,3,2,4]
[7,5,1,3,4,2,6]=>[3,1,5,7,4,2,6]
[7,5,1,3,4,6,2]=>[3,1,5,7,4,6,2]
[7,5,1,3,6,2,4]=>[1,5,3,7,2,6,4]
[7,5,1,3,6,4,2]=>[5,7,1,6,3,4,2]
[7,5,1,4,2,3,6]=>[1,2,7,5,4,3,6]
[7,5,1,4,2,6,3]=>[7,1,5,4,6,2,3]
[7,5,1,4,3,2,6]=>[5,7,1,4,3,2,6]
[7,5,1,4,3,6,2]=>[7,1,5,4,3,6,2]
[7,5,1,4,6,2,3]=>[1,5,2,7,4,6,3]
[7,5,1,4,6,3,2]=>[5,7,1,4,6,3,2]
[7,5,1,6,2,3,4]=>[1,2,5,7,6,3,4]
[7,5,1,6,2,4,3]=>[5,1,7,6,4,2,3]
[7,5,1,6,3,2,4]=>[3,5,7,6,1,2,4]
[7,5,1,6,3,4,2]=>[5,1,7,6,3,4,2]
[7,5,1,6,4,2,3]=>[1,5,7,6,4,2,3]
[7,5,1,6,4,3,2]=>[5,7,6,4,3,1,2]
[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6]
[7,5,2,1,3,6,4]=>[5,2,7,6,1,3,4]
[7,5,2,1,4,3,6]=>[2,7,5,4,1,3,6]
[7,5,2,1,4,6,3]=>[5,2,7,4,1,6,3]
[7,5,2,1,6,3,4]=>[2,5,7,6,1,3,4]
[7,5,2,1,6,4,3]=>[5,7,6,4,2,1,3]
[7,5,2,3,1,4,6]=>[2,3,5,7,1,4,6]
[7,5,2,3,1,6,4]=>[5,2,7,6,3,1,4]
[7,5,2,3,4,1,6]=>[2,3,5,7,4,1,6]
[7,5,2,3,4,6,1]=>[2,3,5,7,4,6,1]
[7,5,2,3,6,1,4]=>[2,3,5,7,1,6,4]
[7,5,2,3,6,4,1]=>[5,2,7,6,3,4,1]
[7,5,2,4,1,3,6]=>[2,1,5,7,4,3,6]
[7,5,2,4,1,6,3]=>[5,2,7,4,6,1,3]
[7,5,2,4,3,1,6]=>[2,7,5,4,3,1,6]
[7,5,2,4,3,6,1]=>[2,7,5,4,3,6,1]
[7,5,2,4,6,1,3]=>[2,1,5,7,4,6,3]
[7,5,2,4,6,3,1]=>[5,2,7,4,6,3,1]
[7,5,2,6,1,3,4]=>[2,1,5,7,3,6,4]
[7,5,2,6,1,4,3]=>[5,2,7,6,1,4,3]
[7,5,2,6,3,1,4]=>[2,5,7,6,3,1,4]
[7,5,2,6,3,4,1]=>[2,5,7,6,3,4,1]
[7,5,2,6,4,1,3]=>[2,5,7,6,1,4,3]
[7,5,2,6,4,3,1]=>[5,7,6,4,2,3,1]
[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]
[7,5,3,1,2,6,4]=>[5,1,7,6,3,2,4]
[7,5,3,1,4,2,6]=>[3,5,7,4,1,2,6]
[7,5,3,1,4,6,2]=>[3,5,7,4,1,6,2]
[7,5,3,1,6,2,4]=>[3,5,7,1,6,2,4]
[7,5,3,1,6,4,2]=>[5,7,6,3,4,1,2]
[7,5,3,2,1,4,6]=>[3,5,7,2,1,4,6]
[7,5,3,2,1,6,4]=>[5,7,6,3,2,1,4]
[7,5,3,2,4,1,6]=>[3,5,7,2,4,1,6]
[7,5,3,2,4,6,1]=>[3,5,7,2,4,6,1]
[7,5,3,2,6,1,4]=>[3,5,7,2,1,6,4]
[7,5,3,2,6,4,1]=>[5,7,6,3,2,4,1]
[7,5,3,4,1,2,6]=>[1,3,5,7,4,2,6]
[7,5,3,4,1,6,2]=>[3,5,7,4,6,1,2]
[7,5,3,4,2,1,6]=>[3,5,7,4,2,1,6]
[7,5,3,4,2,6,1]=>[3,5,7,4,2,6,1]
[7,5,3,4,6,1,2]=>[1,3,5,7,4,6,2]
[7,5,3,4,6,2,1]=>[3,5,7,4,6,2,1]
[7,5,3,6,1,2,4]=>[1,3,5,7,2,6,4]
[7,5,3,6,1,4,2]=>[3,5,7,6,1,4,2]
[7,5,3,6,2,1,4]=>[3,5,7,2,6,1,4]
[7,5,3,6,2,4,1]=>[3,5,7,2,6,4,1]
[7,5,3,6,4,1,2]=>[1,5,7,6,3,4,2]
[7,5,3,6,4,2,1]=>[5,7,6,3,4,2,1]
[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]
[7,5,4,1,2,6,3]=>[5,1,7,4,6,2,3]
[7,5,4,1,3,2,6]=>[1,7,5,4,3,2,6]
[7,5,4,1,3,6,2]=>[5,1,7,4,3,6,2]
[7,5,4,1,6,2,3]=>[1,5,7,4,6,2,3]
[7,5,4,1,6,3,2]=>[5,7,4,6,3,1,2]
[7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6]
[7,5,4,2,1,6,3]=>[5,7,4,6,2,1,3]
[7,5,4,2,3,1,6]=>[2,5,7,4,3,1,6]
[7,5,4,2,3,6,1]=>[2,5,7,4,3,6,1]
[7,5,4,2,6,1,3]=>[2,5,7,4,1,6,3]
[7,5,4,2,6,3,1]=>[5,7,4,6,2,3,1]
[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]
[7,5,4,3,1,6,2]=>[5,7,4,3,6,1,2]
[7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6]
[7,5,4,3,2,6,1]=>[5,7,4,3,2,6,1]
[7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2]
[7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1]
[7,5,4,6,1,2,3]=>[1,2,5,7,4,6,3]
[7,5,4,6,1,3,2]=>[5,1,7,4,6,3,2]
[7,5,4,6,2,1,3]=>[2,5,7,4,6,1,3]
[7,5,4,6,2,3,1]=>[2,5,7,4,6,3,1]
[7,5,4,6,3,1,2]=>[1,5,7,4,6,3,2]
[7,5,4,6,3,2,1]=>[5,7,4,6,3,2,1]
[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]
[7,5,6,1,2,4,3]=>[5,1,2,7,6,4,3]
[7,5,6,1,3,2,4]=>[1,5,3,7,6,2,4]
[7,5,6,1,3,4,2]=>[3,1,5,7,6,4,2]
[7,5,6,1,4,2,3]=>[1,5,2,7,6,4,3]
[7,5,6,1,4,3,2]=>[5,7,1,6,4,3,2]
[7,5,6,2,1,3,4]=>[2,1,5,7,6,3,4]
[7,5,6,2,1,4,3]=>[5,2,7,6,4,1,3]
[7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4]
[7,5,6,2,3,4,1]=>[2,3,5,7,6,4,1]
[7,5,6,2,4,1,3]=>[2,1,5,7,6,4,3]
[7,5,6,2,4,3,1]=>[5,2,7,6,4,3,1]
[7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4]
[7,5,6,3,1,4,2]=>[3,5,7,6,4,1,2]
[7,5,6,3,2,1,4]=>[3,5,7,6,2,1,4]
[7,5,6,3,2,4,1]=>[3,5,7,6,2,4,1]
[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2]
[7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1]
[7,5,6,4,1,2,3]=>[1,2,5,7,6,4,3]
[7,5,6,4,1,3,2]=>[5,1,7,6,4,3,2]
[7,5,6,4,2,1,3]=>[2,5,7,6,4,1,3]
[7,5,6,4,2,3,1]=>[2,5,7,6,4,3,1]
[7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2]
[7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1]
[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]
[7,6,1,2,3,5,4]=>[7,1,2,3,6,5,4]
[7,6,1,2,4,3,5]=>[1,7,2,4,6,3,5]
[7,6,1,2,4,5,3]=>[4,1,2,7,6,5,3]
[7,6,1,2,5,3,4]=>[1,7,2,3,6,5,4]
[7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]
[7,6,1,3,2,4,5]=>[1,3,7,2,6,4,5]
[7,6,1,3,2,5,4]=>[7,1,6,3,5,2,4]
[7,6,1,3,4,2,5]=>[3,1,4,7,6,2,5]
[7,6,1,3,4,5,2]=>[3,1,4,7,6,5,2]
[7,6,1,3,5,2,4]=>[3,1,2,7,6,5,4]
[7,6,1,3,5,4,2]=>[7,3,1,6,5,4,2]
[7,6,1,4,2,3,5]=>[1,2,7,4,6,3,5]
[7,6,1,4,2,5,3]=>[7,1,4,6,5,2,3]
[7,6,1,4,3,2,5]=>[1,7,6,4,3,2,5]
[7,6,1,4,3,5,2]=>[7,1,4,6,3,5,2]
[7,6,1,4,5,2,3]=>[1,4,2,7,6,5,3]
[7,6,1,4,5,3,2]=>[4,7,1,6,5,3,2]
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]
[7,6,1,5,2,4,3]=>[7,1,6,2,5,4,3]
[7,6,1,5,3,2,4]=>[1,7,6,3,5,2,4]
[7,6,1,5,3,4,2]=>[7,1,3,6,5,4,2]
[7,6,1,5,4,2,3]=>[1,7,6,2,5,4,3]
[7,6,1,5,4,3,2]=>[7,6,5,1,4,3,2]
[7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5]
[7,6,2,1,3,5,4]=>[7,2,1,6,5,3,4]
[7,6,2,1,4,3,5]=>[2,7,4,6,1,3,5]
[7,6,2,1,4,5,3]=>[7,2,1,6,4,5,3]
[7,6,2,1,5,3,4]=>[2,7,1,6,5,3,4]
[7,6,2,1,5,4,3]=>[7,6,2,5,4,1,3]
[7,6,2,3,1,4,5]=>[2,3,1,7,6,4,5]
[7,6,2,3,1,5,4]=>[7,2,3,6,5,1,4]
[7,6,2,3,4,1,5]=>[2,3,4,7,6,1,5]
[7,6,2,3,4,5,1]=>[2,3,4,7,6,5,1]
[7,6,2,3,5,1,4]=>[2,3,1,7,6,5,4]
[7,6,2,3,5,4,1]=>[7,2,3,6,5,4,1]
[7,6,2,4,1,3,5]=>[2,1,4,7,6,3,5]
[7,6,2,4,1,5,3]=>[4,2,7,6,5,1,3]
[7,6,2,4,3,1,5]=>[2,7,4,6,3,1,5]
[7,6,2,4,3,5,1]=>[2,7,4,6,3,5,1]
[7,6,2,4,5,1,3]=>[2,1,4,7,6,5,3]
[7,6,2,4,5,3,1]=>[4,2,7,6,5,3,1]
[7,6,2,5,1,3,4]=>[2,1,3,7,6,5,4]
[7,6,2,5,1,4,3]=>[7,2,1,6,5,4,3]
[7,6,2,5,3,1,4]=>[2,7,3,6,5,1,4]
[7,6,2,5,3,4,1]=>[2,7,3,6,5,4,1]
[7,6,2,5,4,1,3]=>[2,7,1,6,5,4,3]
[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]
[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]
[7,6,3,1,2,5,4]=>[7,1,3,6,5,2,4]
[7,6,3,1,4,2,5]=>[3,4,7,6,1,2,5]
[7,6,3,1,4,5,2]=>[3,7,1,6,4,5,2]
[7,6,3,1,5,2,4]=>[3,1,7,6,5,2,4]
[7,6,3,1,5,4,2]=>[7,3,6,5,4,1,2]
[7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5]
[7,6,3,2,1,5,4]=>[7,3,6,5,2,1,4]
[7,6,3,2,4,1,5]=>[3,2,7,6,4,1,5]
[7,6,3,2,4,5,1]=>[3,2,7,6,4,5,1]
[7,6,3,2,5,1,4]=>[3,2,7,6,1,5,4]
[7,6,3,2,5,4,1]=>[7,3,6,5,2,4,1]
[7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5]
[7,6,3,4,1,5,2]=>[3,4,7,6,5,1,2]
[7,6,3,4,2,1,5]=>[3,4,7,6,2,1,5]
[7,6,3,4,2,5,1]=>[3,4,7,6,2,5,1]
[7,6,3,4,5,1,2]=>[1,3,4,7,6,5,2]
[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]
[7,6,3,5,1,2,4]=>[1,3,2,7,6,5,4]
[7,6,3,5,1,4,2]=>[3,7,1,6,5,4,2]
[7,6,3,5,2,1,4]=>[3,2,7,6,5,1,4]
[7,6,3,5,2,4,1]=>[3,2,7,6,5,4,1]
[7,6,3,5,4,1,2]=>[1,7,3,6,5,4,2]
[7,6,3,5,4,2,1]=>[7,3,6,5,4,2,1]
[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]
[7,6,4,1,2,5,3]=>[4,1,7,6,5,2,3]
[7,6,4,1,3,2,5]=>[1,7,4,6,3,2,5]
[7,6,4,1,3,5,2]=>[4,1,7,6,3,5,2]
[7,6,4,1,5,2,3]=>[1,4,7,6,5,2,3]
[7,6,4,1,5,3,2]=>[4,7,6,5,3,1,2]
[7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5]
[7,6,4,2,1,5,3]=>[4,7,6,5,2,1,3]
[7,6,4,2,3,1,5]=>[2,4,7,6,3,1,5]
[7,6,4,2,3,5,1]=>[2,4,7,6,3,5,1]
[7,6,4,2,5,1,3]=>[2,4,7,6,1,5,3]
[7,6,4,2,5,3,1]=>[4,7,6,5,2,3,1]
[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]
[7,6,4,3,1,5,2]=>[4,7,6,3,5,1,2]
[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5]
[7,6,4,3,2,5,1]=>[4,7,6,3,2,5,1]
[7,6,4,3,5,1,2]=>[1,4,7,6,3,5,2]
[7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1]
[7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3]
[7,6,4,5,1,3,2]=>[4,1,7,6,5,3,2]
[7,6,4,5,2,1,3]=>[2,4,7,6,5,1,3]
[7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1]
[7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2]
[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]
[7,6,5,1,2,4,3]=>[7,1,2,6,5,4,3]
[7,6,5,1,3,2,4]=>[1,7,3,6,5,2,4]
[7,6,5,1,3,4,2]=>[3,1,7,6,5,4,2]
[7,6,5,1,4,2,3]=>[1,7,2,6,5,4,3]
[7,6,5,1,4,3,2]=>[7,6,1,5,4,3,2]
[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4]
[7,6,5,2,1,4,3]=>[7,2,6,5,4,1,3]
[7,6,5,2,3,1,4]=>[2,3,7,6,5,1,4]
[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1]
[7,6,5,2,4,1,3]=>[2,1,7,6,5,4,3]
[7,6,5,2,4,3,1]=>[7,2,6,5,4,3,1]
[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]
[7,6,5,3,1,4,2]=>[3,7,6,5,4,1,2]
[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4]
[7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1]
[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2]
[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1]
[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]
[7,6,5,4,1,3,2]=>[7,1,6,5,4,3,2]
[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3]
[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1]
[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]
[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]
[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]
[6,7,8,5,4,3,2,1]=>[6,7,8,5,4,3,2,1]
[7,8,5,6,4,3,2,1]=>[5,7,8,6,4,3,2,1]
[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]
[6,7,5,8,4,3,2,1]=>[6,7,5,8,4,3,2,1]
[7,5,6,8,4,3,2,1]=>[5,7,6,8,4,3,2,1]
[5,6,7,8,4,3,2,1]=>[5,6,7,8,4,3,2,1]
[8,7,5,6,3,4,2,1]=>[3,5,8,7,6,4,2,1]
[8,5,6,7,3,4,2,1]=>[3,5,6,8,7,4,2,1]
[5,6,7,8,3,4,2,1]=>[3,5,6,7,8,4,2,1]
[6,7,8,3,4,5,2,1]=>[3,4,6,7,8,5,2,1]
[8,7,6,5,4,2,3,1]=>[2,8,7,6,5,4,3,1]
[8,6,7,5,4,2,3,1]=>[2,6,8,7,5,4,3,1]
[7,6,4,5,8,2,3,1]=>[2,4,7,6,5,8,3,1]
[8,7,6,5,3,2,4,1]=>[3,8,7,6,5,2,4,1]
[8,6,5,7,3,2,4,1]=>[3,6,8,5,7,2,4,1]
[8,7,6,5,2,3,4,1]=>[2,3,8,7,6,5,4,1]
[8,5,6,7,2,3,4,1]=>[2,3,5,6,8,7,4,1]
[7,8,3,2,4,5,6,1]=>[3,2,4,7,8,5,6,1]
[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]
[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]
[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]
[7,8,6,5,4,3,1,2]=>[1,7,8,6,5,4,3,2]
[8,7,4,5,6,3,1,2]=>[1,4,5,8,7,6,3,2]
[8,7,6,5,3,4,1,2]=>[1,3,8,7,6,5,4,2]
[7,8,5,6,3,4,1,2]=>[1,3,5,7,8,6,4,2]
[5,6,7,8,3,4,1,2]=>[1,3,5,6,7,8,4,2]
[8,7,6,4,3,5,1,2]=>[1,4,8,7,6,3,5,2]
[8,7,6,3,4,5,1,2]=>[1,3,4,8,7,6,5,2]
[7,8,3,4,5,6,1,2]=>[1,3,4,5,7,8,6,2]
[8,5,4,3,6,7,1,2]=>[1,5,4,8,3,6,7,2]
[8,4,3,5,6,7,1,2]=>[1,4,3,5,8,6,7,2]
[8,3,4,5,6,7,1,2]=>[1,3,4,5,6,8,7,2]
[4,5,6,3,7,8,1,2]=>[1,4,5,6,3,7,8,2]
[6,3,4,5,7,8,1,2]=>[1,3,4,6,5,7,8,2]
[5,4,3,6,7,8,1,2]=>[1,5,4,3,6,7,8,2]
[4,5,3,6,7,8,1,2]=>[1,4,5,3,6,7,8,2]
[5,3,4,6,7,8,1,2]=>[1,3,5,4,6,7,8,2]
[4,3,5,6,7,8,1,2]=>[1,4,3,5,6,7,8,2]
[3,4,5,6,7,8,1,2]=>[1,3,4,5,6,7,8,2]
[8,7,6,5,4,2,1,3]=>[2,8,7,6,5,4,1,3]
[7,6,8,5,4,2,1,3]=>[2,7,6,8,5,4,1,3]
[8,7,6,4,5,2,1,3]=>[2,4,8,7,6,5,1,3]
[8,7,5,4,6,2,1,3]=>[2,5,8,7,4,6,1,3]
[8,7,4,5,6,2,1,3]=>[2,4,5,8,7,6,1,3]
[6,7,8,5,4,1,2,3]=>[1,2,6,7,8,5,4,3]
[8,7,4,5,6,1,2,3]=>[1,2,4,5,8,7,6,3]
[8,7,6,5,3,2,1,4]=>[3,8,7,6,5,2,1,4]
[8,7,5,6,3,2,1,4]=>[3,5,8,7,6,2,1,4]
[8,6,5,7,3,2,1,4]=>[3,6,8,5,7,2,1,4]
[8,5,6,7,3,2,1,4]=>[3,5,6,8,7,2,1,4]
[7,6,5,8,3,2,1,4]=>[3,7,6,5,8,2,1,4]
[7,5,6,8,2,3,1,4]=>[2,3,5,7,6,8,1,4]
[6,7,5,8,3,1,2,4]=>[1,3,6,7,5,8,2,4]
[6,5,7,8,2,1,3,4]=>[2,1,6,5,7,8,3,4]
[7,8,6,5,1,2,3,4]=>[1,2,3,7,8,6,5,4]
[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]
[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]
[5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,8,4]
[8,7,6,4,3,2,1,5]=>[4,8,7,6,3,2,1,5]
[8,6,7,4,3,2,1,5]=>[4,6,8,7,3,2,1,5]
[7,6,8,4,3,2,1,5]=>[4,7,6,8,3,2,1,5]
[6,7,8,4,3,2,1,5]=>[4,6,7,8,3,2,1,5]
[8,7,6,4,2,1,3,5]=>[2,4,8,7,6,1,3,5]
[6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,8,5]
[8,7,5,4,3,2,1,6]=>[5,8,7,4,3,2,1,6]
[7,8,5,4,3,2,1,6]=>[5,7,8,4,3,2,1,6]
[7,8,5,4,2,1,3,6]=>[2,5,7,8,4,1,3,6]
[7,8,5,4,1,2,3,6]=>[1,2,5,7,8,4,3,6]
[7,8,4,5,1,2,3,6]=>[1,2,4,5,7,8,3,6]
[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]
[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]
[8,6,5,4,3,2,1,7]=>[6,8,5,4,3,2,1,7]
[8,6,5,4,3,1,2,7]=>[1,6,8,5,4,3,2,7]
[8,5,6,3,4,1,2,7]=>[1,3,5,6,8,4,2,7]
[8,6,5,4,2,1,3,7]=>[2,6,8,5,4,1,3,7]
[8,6,4,3,2,1,5,7]=>[4,6,8,3,2,1,5,7]
[8,6,4,2,1,3,5,7]=>[2,4,6,8,1,3,5,7]
[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]
[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]
[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]
[7,5,6,3,4,2,1,8]=>[3,5,7,6,4,2,1,8]
[6,7,5,4,2,3,1,8]=>[2,6,7,5,4,3,1,8]
[6,5,7,3,2,4,1,8]=>[3,6,5,7,2,4,1,8]
[5,6,7,2,3,4,1,8]=>[2,3,5,6,7,4,1,8]
[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8]
[3,4,5,6,7,1,2,8]=>[1,3,4,5,6,7,2,8]
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]
[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7,8]
[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]
[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]
[2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[6,8,7,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]
[5,8,7,6,4,3,2,1]=>[8,7,5,6,4,3,2,1]
[5,7,8,6,4,3,2,1]=>[7,5,8,6,4,3,2,1]
[6,5,8,7,4,3,2,1]=>[8,6,5,7,4,3,2,1]
[3,5,8,7,6,4,2,1]=>[8,7,5,3,6,4,2,1]
[3,5,6,7,8,4,2,1]=>[5,3,6,7,8,4,2,1]
[4,3,8,7,6,5,2,1]=>[8,7,6,4,3,5,2,1]
[6,5,4,3,8,7,2,1]=>[8,6,5,4,3,7,2,1]
[4,3,6,5,8,7,2,1]=>[8,6,4,3,5,7,2,1]
[2,6,8,7,5,4,3,1]=>[8,6,7,5,2,4,3,1]
[2,3,5,6,8,7,4,1]=>[8,5,2,3,6,7,4,1]
[3,4,2,5,7,8,6,1]=>[7,3,4,2,5,8,6,1]
[4,3,6,5,7,2,8,1]=>[6,4,3,5,7,2,8,1]
[3,2,6,5,7,4,8,1]=>[6,5,3,2,7,4,8,1]
[4,3,5,2,7,6,8,1]=>[7,4,3,5,2,6,8,1]
[3,2,5,4,7,6,8,1]=>[7,5,3,2,4,6,8,1]
[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]
[1,7,8,6,5,4,3,2]=>[7,8,6,5,4,1,3,2]
[1,3,5,7,8,6,4,2]=>[7,5,3,1,8,6,4,2]
[1,4,3,8,7,6,5,2]=>[8,7,6,4,3,1,5,2]
[1,6,5,4,3,8,7,2]=>[8,6,5,4,3,1,7,2]
[1,4,3,6,5,8,7,2]=>[8,6,4,3,1,5,7,2]
[1,3,4,5,6,7,8,2]=>[3,1,4,5,6,7,8,2]
[2,1,8,7,6,5,4,3]=>[8,7,6,5,4,2,1,3]
[2,1,7,8,6,5,4,3]=>[7,8,6,5,2,1,4,3]
[2,1,6,8,7,5,4,3]=>[8,6,7,5,2,1,4,3]
[2,1,7,6,8,5,4,3]=>[7,6,8,5,2,1,4,3]
[2,1,6,7,8,5,4,3]=>[6,7,8,2,1,5,4,3]
[2,1,5,8,7,6,4,3]=>[8,7,5,6,2,1,4,3]
[2,1,6,5,8,7,4,3]=>[8,6,5,7,2,1,4,3]
[2,1,7,6,5,8,4,3]=>[7,6,5,8,2,1,4,3]
[2,1,6,5,7,4,8,3]=>[6,5,7,2,1,4,8,3]
[2,1,5,4,7,6,8,3]=>[7,5,4,2,1,6,8,3]
[2,1,4,5,6,7,8,3]=>[4,2,1,5,6,7,8,3]
[1,2,6,7,8,5,4,3]=>[6,7,8,1,2,5,4,3]
[3,2,1,8,7,6,5,4]=>[8,7,6,5,3,2,1,4]
[3,2,1,6,5,8,7,4]=>[8,6,5,3,2,1,7,4]
[1,3,2,5,6,7,8,4]=>[5,3,1,2,6,7,8,4]
[2,1,3,5,6,7,8,4]=>[5,2,1,3,6,7,8,4]
[1,2,3,5,6,7,8,4]=>[5,1,2,3,6,7,8,4]
[4,3,2,1,8,7,6,5]=>[8,7,6,4,3,2,1,5]
[3,4,2,1,7,8,6,5]=>[7,8,3,4,2,1,6,5]
[2,4,3,1,6,8,7,5]=>[8,6,4,2,3,1,7,5]
[2,4,3,1,7,6,8,5]=>[7,6,4,2,3,1,8,5]
[3,2,4,1,6,8,7,5]=>[8,6,3,2,4,1,7,5]
[3,2,4,1,7,6,8,5]=>[7,6,3,2,4,1,8,5]
[2,3,4,1,6,7,8,5]=>[6,2,3,4,1,7,8,5]
[2,1,4,3,8,7,6,5]=>[8,7,6,4,2,1,3,5]
[2,1,4,3,6,8,7,5]=>[8,6,4,2,1,3,7,5]
[2,1,4,3,7,6,8,5]=>[7,6,4,2,1,3,8,5]
[2,1,4,3,6,7,8,5]=>[6,4,2,1,3,7,8,5]
[1,3,2,4,6,7,8,5]=>[6,3,1,2,4,7,8,5]
[1,2,3,4,6,7,8,5]=>[6,1,2,3,4,7,8,5]
[5,4,3,2,1,8,7,6]=>[8,7,5,4,3,2,1,6]
[3,2,5,4,1,8,7,6]=>[8,7,5,3,2,4,1,6]
[2,3,4,5,1,8,7,6]=>[8,7,2,3,4,5,1,6]
[2,3,4,5,1,7,8,6]=>[7,2,3,4,5,1,8,6]
[3,2,1,4,5,8,7,6]=>[8,7,3,2,1,4,5,6]
[2,3,1,4,5,7,8,6]=>[7,2,3,1,4,5,8,6]
[1,2,3,4,5,7,8,6]=>[7,1,2,3,4,5,8,6]
[6,5,4,3,2,1,8,7]=>[8,6,5,4,3,2,1,7]
[4,6,5,3,2,1,8,7]=>[8,6,4,5,3,2,1,7]
[5,4,6,3,2,1,8,7]=>[8,5,4,6,3,2,1,7]
[4,3,6,5,2,1,8,7]=>[8,6,4,3,5,2,1,7]
[4,3,5,2,6,1,8,7]=>[8,4,3,5,2,6,1,7]
[3,2,5,4,6,1,8,7]=>[8,5,3,2,4,6,1,7]
[2,3,4,5,6,1,8,7]=>[8,2,3,4,5,6,1,7]
[2,1,6,5,4,3,8,7]=>[8,6,5,4,2,1,3,7]
[2,1,4,6,5,3,8,7]=>[8,6,4,2,1,5,3,7]
[2,1,5,4,6,3,8,7]=>[8,5,4,2,1,6,3,7]
[2,1,4,5,6,3,8,7]=>[8,4,2,1,5,6,3,7]
[4,3,2,1,6,5,8,7]=>[8,6,4,3,2,1,5,7]
[2,4,3,1,6,5,8,7]=>[8,6,4,2,3,1,5,7]
[3,2,4,1,6,5,8,7]=>[8,6,3,2,4,1,5,7]
[2,3,4,1,6,5,8,7]=>[8,6,2,3,4,1,5,7]
[2,1,4,3,6,5,8,7]=>[8,6,4,2,1,3,5,7]
[2,1,3,4,5,6,8,7]=>[8,2,1,3,4,5,6,7]
[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]
[3,2,7,6,5,4,1,8]=>[7,6,5,3,2,4,1,8]
[5,4,3,2,7,6,1,8]=>[7,5,4,3,2,6,1,8]
[3,2,5,4,7,6,1,8]=>[7,5,3,2,4,6,1,8]
[2,3,4,1,7,6,5,8]=>[7,6,2,3,4,1,5,8]
[2,3,4,1,6,7,5,8]=>[6,2,3,4,1,7,5,8]
[1,4,3,2,7,6,5,8]=>[7,6,4,3,1,2,5,8]
[1,3,4,2,6,7,5,8]=>[6,3,1,4,2,7,5,8]
[2,3,4,5,1,7,6,8]=>[7,2,3,4,5,1,6,8]
[1,3,2,5,4,7,6,8]=>[7,5,3,1,2,4,6,8]
[1,3,2,4,5,7,6,8]=>[7,3,1,2,4,5,6,8]
[1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8]
[2,3,1,6,5,4,7,8]=>[6,5,2,3,1,4,7,8]
[2,3,1,5,6,4,7,8]=>[5,2,3,1,6,4,7,8]
[2,3,4,1,6,5,7,8]=>[6,2,3,4,1,5,7,8]
[1,2,4,3,6,5,7,8]=>[6,4,1,2,3,5,7,8]
[2,1,5,4,3,6,7,8]=>[5,4,2,1,3,6,7,8]
[2,1,4,5,3,6,7,8]=>[4,2,1,5,3,6,7,8]
[2,3,1,5,4,6,7,8]=>[5,2,3,1,4,6,7,8]
[1,4,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]
[1,3,4,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]
[2,1,4,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]
[1,3,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[1,8,5,4,7,6,3,2]=>[8,5,7,4,6,1,3,2]
[2,1,4,5,8,6,7,3]=>[8,2,4,1,5,6,7,3]
[2,1,8,5,4,7,6,3]=>[8,5,7,4,2,1,6,3]
[2,3,4,8,5,6,7,1]=>[2,3,8,4,5,6,7,1]
[2,3,6,4,5,1,8,7]=>[8,2,6,3,4,5,1,7]
[4,2,3,1,8,6,7,5]=>[8,2,6,4,3,1,7,5]
[6,3,2,5,4,1,8,7]=>[8,6,3,5,2,4,1,7]
[8,3,2,5,4,7,6,1]=>[8,3,7,5,2,4,6,1]
[8,3,2,7,6,5,4,1]=>[8,7,6,3,5,2,4,1]
[7,4,3,6,5,2,1,8]=>[7,4,6,3,5,2,1,8]
[8,5,4,3,2,7,6,1]=>[8,5,7,4,3,2,6,1]
[8,7,4,3,6,5,2,1]=>[8,4,7,6,3,5,2,1]
[2,4,6,1,7,3,8,5]=>[6,4,2,7,8,1,3,5]
[2,1,4,3,7,5,8,6]=>[7,8,4,2,1,3,5,6]
[2,4,1,3,7,5,8,6]=>[7,8,2,1,4,3,5,6]
[2,1,4,3,7,8,5,6]=>[4,7,2,1,3,5,8,6]
[2,1,4,3,8,5,6,7]=>[4,2,8,1,3,5,6,7]
[2,4,1,8,3,5,6,7]=>[4,2,1,3,5,8,6,7]
[2,4,1,5,8,3,6,7]=>[4,2,5,1,3,6,8,7]
[2,4,1,5,6,8,3,7]=>[4,2,5,1,6,3,8,7]
[2,4,1,5,6,7,8,3]=>[4,2,5,1,6,7,8,3]
[2,4,5,6,7,1,8,3]=>[4,2,5,6,7,8,1,3]
[2,1,5,3,6,4,8,7]=>[8,5,6,2,1,3,4,7]
[2,1,5,6,3,4,8,7]=>[8,2,5,1,3,6,4,7]
[2,5,1,3,6,7,8,4]=>[5,2,1,6,3,7,8,4]
[2,1,5,3,7,4,8,6]=>[7,5,8,2,1,3,4,6]
[2,5,1,7,3,4,8,6]=>[7,2,5,1,8,3,4,6]
[2,1,5,7,3,8,4,6]=>[5,2,7,1,3,8,4,6]
[2,1,5,8,3,4,6,7]=>[2,5,1,3,4,6,8,7]
[2,1,5,3,4,6,7,8]=>[2,5,1,3,4,6,7,8]
[2,3,5,1,6,7,8,4]=>[5,2,3,6,1,7,8,4]
[2,3,5,6,1,7,8,4]=>[5,2,3,6,7,1,8,4]
[2,1,6,3,7,4,8,5]=>[6,7,8,2,1,3,4,5]
[2,6,7,1,3,4,8,5]=>[6,2,1,3,7,8,4,5]
[2,1,6,7,8,3,4,5]=>[2,1,6,3,4,7,8,5]
[2,1,6,3,4,7,8,5]=>[6,2,7,1,3,4,8,5]
[2,1,6,8,3,4,5,7]=>[2,1,6,3,4,5,8,7]
[2,1,6,3,4,5,8,7]=>[8,2,1,6,3,4,5,7]
[2,3,1,6,4,5,7,8]=>[2,6,3,1,4,5,7,8]
[2,1,7,3,8,4,5,6]=>[2,1,7,8,3,4,5,6]
[2,1,7,8,3,4,5,6]=>[2,1,3,7,4,5,8,6]
[2,1,7,3,4,8,5,6]=>[2,7,1,8,3,4,5,6]
[2,3,7,8,1,4,5,6]=>[2,3,1,4,5,7,8,6]
[2,3,4,1,7,5,6,8]=>[2,7,3,4,1,5,6,8]
[2,1,8,3,4,5,6,7]=>[2,1,3,4,8,5,6,7]
[2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,7]
[2,3,4,5,1,8,6,7]=>[2,8,3,4,5,1,6,7]
[2,3,4,5,6,8,1,7]=>[2,3,4,5,6,1,8,7]
[3,1,4,2,6,5,8,7]=>[8,6,3,4,1,2,5,7]
[3,4,1,2,6,5,8,7]=>[8,6,1,3,4,2,5,7]
[3,1,4,2,6,8,5,7]=>[6,3,4,1,2,5,8,7]
[3,1,4,6,2,8,5,7]=>[6,3,4,1,2,8,5,7]
[3,1,4,2,6,7,8,5]=>[6,3,4,1,2,7,8,5]
[3,1,4,6,2,7,8,5]=>[6,3,4,1,7,2,8,5]
[3,4,6,1,7,8,2,5]=>[3,4,1,6,7,2,8,5]
[3,1,4,2,7,5,8,6]=>[7,8,3,4,1,2,5,6]
[3,1,4,7,2,5,8,6]=>[7,3,4,1,2,8,5,6]
[3,4,1,2,7,8,5,6]=>[1,7,3,4,2,5,8,6]
[3,1,4,2,7,5,6,8]=>[3,7,4,1,2,5,6,8]
[3,1,4,2,5,7,8,6]=>[7,3,4,1,2,5,8,6]
[3,4,1,5,2,7,8,6]=>[7,3,4,5,1,2,8,6]
[3,1,4,5,7,2,8,6]=>[7,3,4,1,5,8,2,6]
[3,4,1,5,7,2,8,6]=>[7,3,4,5,1,8,2,6]
[3,1,4,2,8,5,6,7]=>[3,4,8,1,2,5,6,7]
[3,1,4,8,2,5,6,7]=>[3,4,1,2,5,6,8,7]
[3,1,4,5,8,2,6,7]=>[3,4,1,5,2,6,8,7]
[3,4,1,5,2,6,8,7]=>[8,3,4,5,1,2,6,7]
[3,4,5,1,6,2,8,7]=>[8,3,4,5,6,1,2,7]
[3,1,4,5,6,8,2,7]=>[3,4,1,5,6,2,8,7]
[3,4,5,1,6,8,2,7]=>[3,4,5,6,1,2,8,7]
[3,4,5,6,8,1,2,7]=>[1,3,4,5,6,2,8,7]
[3,4,5,1,6,2,7,8]=>[3,4,5,6,1,2,7,8]
[3,4,5,6,1,7,2,8]=>[3,4,5,6,7,1,2,8]
[3,1,4,5,6,7,8,2]=>[3,4,1,5,6,7,8,2]
[3,4,1,5,6,7,8,2]=>[3,4,5,1,6,7,8,2]
[3,4,5,1,6,7,8,2]=>[3,4,5,6,1,7,8,2]
[3,4,5,6,1,7,8,2]=>[3,4,5,6,7,1,8,2]
[3,4,5,6,7,1,8,2]=>[3,4,5,6,7,8,1,2]
[3,1,5,2,6,4,8,7]=>[8,5,3,6,1,2,4,7]
[3,5,1,6,2,4,8,7]=>[8,3,1,5,6,2,4,7]
[3,1,5,2,6,8,4,7]=>[5,3,6,1,2,4,8,7]
[3,1,5,6,2,8,4,7]=>[5,3,6,1,2,8,4,7]
[3,1,5,2,6,4,7,8]=>[5,3,6,1,2,4,7,8]
[3,1,5,2,6,7,4,8]=>[5,3,6,1,2,7,4,8]
[3,1,5,2,6,7,8,4]=>[5,3,6,1,2,7,8,4]
[3,1,5,2,7,4,8,6]=>[7,5,3,8,1,2,4,6]
[3,1,5,2,7,8,4,6]=>[5,3,1,7,2,4,8,6]
[3,1,5,7,2,8,4,6]=>[5,3,1,7,2,8,4,6]
[3,5,1,7,2,8,4,6]=>[5,3,1,7,8,2,4,6]
[3,1,5,7,8,2,4,6]=>[3,1,5,2,4,7,8,6]
[3,1,5,2,7,4,6,8]=>[5,3,1,7,2,4,6,8]
[3,1,5,7,2,4,6,8]=>[3,1,5,2,4,7,6,8]
[3,5,1,7,2,4,6,8]=>[3,1,5,2,7,4,6,8]
[3,5,7,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]
[3,1,5,2,4,7,6,8]=>[7,3,1,5,2,4,6,8]
[3,5,1,2,4,7,6,8]=>[7,1,3,2,5,4,6,8]
[3,1,2,5,4,7,6,8]=>[7,5,1,3,2,4,6,8]
[3,1,5,2,8,4,6,7]=>[5,3,1,2,8,4,6,7]
[1,3,5,6,2,7,4,8]=>[5,3,1,6,7,2,4,8]
[1,3,5,2,6,7,8,4]=>[5,3,1,6,2,7,8,4]
[3,1,6,2,7,4,8,5]=>[6,7,3,8,1,2,4,5]
[3,6,7,1,2,8,4,5]=>[1,6,3,2,7,8,4,5]
[3,6,1,7,8,2,4,5]=>[3,1,2,6,7,4,8,5]
[3,1,6,2,4,7,8,5]=>[6,3,1,7,2,4,8,5]
[3,1,2,6,7,4,8,5]=>[6,7,1,3,2,8,4,5]
[3,1,6,2,4,8,5,7]=>[6,3,1,2,8,4,5,7]
[1,3,6,2,4,5,7,8]=>[3,1,2,4,6,5,7,8]
[3,1,7,8,2,4,5,6]=>[3,1,2,4,7,5,8,6]
[1,3,7,8,2,4,5,6]=>[3,1,2,4,5,7,8,6]
[3,1,7,2,4,5,8,6]=>[7,3,1,2,8,4,5,6]
[1,3,7,2,4,5,6,8]=>[3,1,2,4,5,7,6,8]
[3,1,8,2,4,5,6,7]=>[3,1,2,4,5,8,6,7]
[1,3,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]
[1,3,8,2,4,5,6,7]=>[3,1,2,4,5,6,8,7]
[1,3,2,4,8,5,6,7]=>[3,1,8,2,4,5,6,7]
[3,1,2,4,5,8,6,7]=>[1,8,3,2,4,5,6,7]
[4,1,5,2,6,3,8,7]=>[8,4,5,6,1,2,3,7]
[4,5,6,1,2,3,8,7]=>[8,1,2,4,5,6,3,7]
[4,1,5,6,8,2,3,7]=>[1,4,5,2,6,3,8,7]
[4,1,5,2,7,3,8,6]=>[7,4,5,8,1,2,3,6]
[4,1,5,2,7,8,3,6]=>[4,5,1,7,2,3,8,6]
[4,5,7,1,2,8,3,6]=>[4,1,5,2,7,8,3,6]
[4,5,1,7,8,2,3,6]=>[1,4,5,2,7,3,8,6]
[4,1,2,5,7,3,8,6]=>[7,4,1,5,2,8,3,6]
[4,1,2,5,8,3,6,7]=>[4,1,5,2,3,6,8,7]
[4,1,2,5,6,8,3,7]=>[4,1,5,2,6,3,8,7]
[1,4,5,6,7,2,3,8]=>[1,4,2,5,6,7,3,8]
[4,1,2,5,6,7,8,3]=>[4,1,5,2,6,7,8,3]
[4,1,6,2,7,3,8,5]=>[6,4,7,8,1,2,3,5]
[4,6,7,1,8,2,3,5]=>[1,4,2,6,7,8,3,5]
[4,1,2,6,3,7,8,5]=>[6,4,1,7,2,3,8,5]
[1,4,2,6,7,8,3,5]=>[4,1,6,2,3,7,8,5]
[4,1,2,6,3,8,5,7]=>[6,4,1,2,8,3,5,7]
[4,1,2,3,6,5,8,7]=>[8,6,1,2,4,3,5,7]
[4,1,2,7,3,5,8,6]=>[7,4,1,2,8,3,5,6]
[1,4,2,3,7,5,6,8]=>[1,7,4,2,3,5,6,8]
[4,1,2,8,3,5,6,7]=>[4,1,2,3,5,8,6,7]
[4,1,2,3,8,5,6,7]=>[1,2,8,4,3,5,6,7]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]
[5,6,1,2,3,7,8,4]=>[5,1,2,6,7,3,8,4]
[5,1,2,3,6,8,4,7]=>[5,1,2,6,3,4,8,7]
[1,2,5,6,3,4,7,8]=>[1,5,2,3,6,4,7,8]
[5,1,2,3,6,7,8,4]=>[5,1,2,6,3,7,8,4]
[5,7,1,2,3,4,8,6]=>[7,1,2,3,5,8,4,6]
[5,1,2,3,7,4,8,6]=>[7,5,1,2,8,3,4,6]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]
[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]
[5,1,2,8,3,4,6,7]=>[1,5,2,3,4,8,6,7]
[5,1,2,3,8,4,6,7]=>[5,1,2,3,4,8,6,7]
[6,1,7,2,3,4,8,5]=>[6,1,2,7,8,3,4,5]
[1,6,7,2,3,4,5,8]=>[1,2,3,6,4,7,5,8]
[6,1,2,3,4,7,8,5]=>[6,1,2,3,7,4,8,5]
[6,1,8,2,3,4,5,7]=>[1,2,3,6,4,8,5,7]
[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]
[6,1,2,3,4,8,5,7]=>[6,1,2,3,4,8,5,7]
[6,1,2,3,4,5,8,7]=>[8,1,2,3,4,6,5,7]
[7,1,8,2,3,4,5,6]=>[1,2,3,4,7,8,5,6]
[7,1,2,8,3,4,5,6]=>[1,2,3,7,4,8,5,6]
[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,8,5,6]
[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,7]
[1,2,8,3,4,5,6,7]=>[1,2,3,4,8,5,6,7]
[1,2,3,4,8,5,6,7]=>[1,2,8,3,4,5,6,7]
[1,2,3,4,5,8,6,7]=>[1,8,2,3,4,5,6,7]
[5,3,2,6,1,4,8,7]=>[8,3,5,2,1,6,4,7]
[7,3,2,5,4,8,1,6]=>[3,7,5,2,4,1,8,6]
[8,4,5,2,3,7,6,1]=>[8,2,4,5,7,3,6,1]
[7,4,5,2,3,8,1,6]=>[2,4,5,7,3,1,8,6]
[6,4,5,2,3,1,8,7]=>[8,2,4,6,5,3,1,7]
[5,4,6,2,1,3,8,7]=>[8,2,5,4,6,1,3,7]
[3,6,1,5,4,2,8,7]=>[8,6,3,5,1,4,2,7]
[4,6,5,1,3,2,8,7]=>[8,6,1,4,5,3,2,7]
[5,6,4,3,1,2,8,7]=>[8,1,5,6,4,3,2,7]
[7,5,4,3,2,8,1,6]=>[5,7,4,3,2,1,8,6]
[8,6,4,3,7,2,5,1]=>[4,6,8,3,2,7,5,1]
[7,6,4,3,8,2,1,5]=>[4,7,6,3,2,8,1,5]
[6,7,4,3,8,1,2,5]=>[1,4,6,7,3,2,8,5]
[5,7,4,3,1,8,2,6]=>[5,4,7,3,1,8,2,6]
[4,7,5,1,3,8,2,6]=>[1,7,4,5,3,2,8,6]
[3,7,1,5,4,8,2,6]=>[3,7,5,1,4,2,8,6]
[2,1,7,5,4,8,3,6]=>[5,7,4,2,1,3,8,6]
[3,8,1,5,4,7,6,2]=>[8,3,7,5,1,4,6,2]
[4,8,5,1,3,7,6,2]=>[8,4,1,7,5,3,6,2]
[5,8,4,3,1,7,6,2]=>[8,5,4,7,3,6,1,2]
[6,8,4,3,7,1,5,2]=>[4,6,3,8,7,1,5,2]
[7,8,4,3,6,5,1,2]=>[1,7,4,8,6,3,5,2]
[6,8,5,7,3,1,4,2]=>[3,6,5,8,7,4,1,2]
[5,8,6,7,1,3,4,2]=>[3,1,5,8,6,7,4,2]
[4,8,6,1,7,3,5,2]=>[4,8,1,6,7,3,5,2]
[3,8,1,6,7,4,5,2]=>[3,6,4,1,8,7,5,2]
[2,1,8,6,7,4,5,3]=>[8,2,6,1,4,7,5,3]
[2,1,7,6,8,4,3,5]=>[2,7,6,8,1,4,3,5]
[3,7,1,6,8,4,2,5]=>[3,7,1,6,4,8,2,5]
[4,7,6,1,8,3,2,5]=>[4,7,3,6,8,1,2,5]
[5,7,6,8,1,3,2,4]=>[1,7,3,5,6,8,2,4]
[5,4,7,2,1,8,3,6]=>[5,4,2,7,8,1,3,6]
[6,4,7,2,8,1,3,5]=>[2,4,6,1,7,3,8,5]
[7,4,6,2,8,3,1,5]=>[4,2,7,6,8,3,1,5]
[8,4,6,2,7,3,5,1]=>[4,2,6,8,7,3,5,1]
[8,3,2,6,7,4,5,1]=>[3,8,2,4,6,7,5,1]
[7,3,2,6,8,4,1,5]=>[3,7,2,6,4,8,1,5]
[6,3,2,7,8,1,4,5]=>[3,2,6,1,4,7,8,5]
[5,3,2,7,1,8,4,6]=>[5,3,7,2,1,8,4,6]
[4,3,2,1,7,8,5,6]=>[4,7,3,2,1,5,8,6]
[3,4,1,2,8,7,6,5]=>[8,7,6,1,3,4,2,5]
[5,3,2,8,1,7,6,4]=>[8,5,7,3,2,1,6,4]
[6,3,2,8,7,1,5,4]=>[8,3,6,7,2,1,5,4]
[7,3,2,8,6,5,1,4]=>[3,7,8,6,2,1,5,4]
[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]
[7,4,8,2,6,5,1,3]=>[2,7,4,8,1,6,5,3]
[6,4,8,2,7,1,5,3]=>[4,6,8,2,1,7,5,3]
[5,4,8,2,1,7,6,3]=>[8,5,4,7,2,6,1,3]
[4,5,8,1,2,7,6,3]=>[8,4,1,5,7,2,6,3]
[3,5,1,8,2,7,6,4]=>[8,5,3,7,1,6,2,4]
[2,1,5,8,3,7,6,4]=>[8,5,7,2,1,3,6,4]
[2,1,6,8,7,3,5,4]=>[8,2,6,7,1,3,5,4]
[3,6,1,8,7,2,5,4]=>[8,3,6,1,7,5,2,4]
[4,6,8,1,7,2,5,3]=>[4,6,1,8,7,2,5,3]
[5,6,8,7,1,2,4,3]=>[8,1,2,5,6,7,4,3]
[6,5,8,7,2,1,4,3]=>[8,2,6,5,7,4,1,3]
[7,5,8,6,2,4,1,3]=>[2,1,7,8,5,6,4,3]
[8,5,7,6,2,4,3,1]=>[8,2,5,7,6,4,3,1]
[5,7,8,6,1,4,2,3]=>[1,7,2,5,8,6,4,3]
[4,7,8,1,6,5,2,3]=>[1,7,4,8,2,6,5,3]
[3,7,1,8,6,5,2,4]=>[3,7,8,1,6,5,2,4]
[2,1,7,8,6,5,3,4]=>[2,7,8,6,1,3,5,4]
[3,8,1,7,6,5,4,2]=>[8,7,6,3,5,1,4,2]
[4,8,7,1,6,5,3,2]=>[8,4,7,6,5,1,3,2]
[5,8,7,6,1,4,3,2]=>[8,7,1,5,6,4,3,2]
[6,8,7,5,4,1,3,2]=>[8,1,6,7,5,4,3,2]
[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]
[3,2,7,8,1,4,5,6]=>[3,2,1,4,5,7,8,6]
[7,3,4,8,1,2,5,6]=>[1,3,4,2,7,5,8,6]
[7,8,3,5,1,2,4,6]=>[1,3,2,5,7,8,4,6]
[7,8,4,6,1,2,3,5]=>[1,2,4,3,7,8,6,5]
[7,4,3,8,1,2,5,6]=>[1,4,3,7,2,5,8,6]
[5,7,2,4,8,1,3,6]=>[2,1,5,4,7,3,8,6]
[4,7,3,6,8,1,2,5]=>[1,4,3,2,7,6,8,5]
[5,4,2,7,8,1,3,6]=>[2,5,4,1,3,7,8,6]
[5,4,3,2,8,1,6,7]=>[5,4,3,2,1,6,8,7]
[8,5,4,7,2,6,1,3]=>[2,5,4,8,1,7,6,3]
[8,5,4,7,3,6,1,2]=>[1,5,4,8,3,7,6,2]
[8,7,5,4,2,6,1,3]=>[2,5,8,7,4,1,6,3]
[8,1,2,3,4,7,5,6]=>[1,8,2,3,4,5,7,6]
[8,1,2,3,6,4,5,7]=>[1,2,8,3,4,6,5,7]
[8,1,2,3,7,4,5,6]=>[1,2,8,3,4,5,7,6]
[7,1,2,3,6,4,8,5]=>[7,6,1,2,3,8,4,5]
[5,1,2,3,8,7,4,6]=>[5,8,1,2,3,7,4,6]
[8,1,2,3,6,7,4,5]=>[1,6,2,3,4,8,7,5]
[4,1,2,8,3,7,5,6]=>[4,8,1,2,3,7,5,6]
[8,1,2,5,3,4,6,7]=>[1,2,3,8,5,4,6,7]
[7,1,2,5,3,4,8,6]=>[7,1,8,2,3,5,4,6]
[8,1,2,6,3,4,5,7]=>[1,2,3,8,4,6,5,7]
[7,1,2,6,3,4,8,5]=>[7,1,6,2,3,8,4,5]
[6,1,2,5,3,8,4,7]=>[6,5,1,2,3,8,4,7]
[8,1,2,5,3,7,4,6]=>[1,8,5,2,3,7,4,6]
[8,1,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]
[6,1,2,5,3,7,8,4]=>[6,5,1,2,7,3,8,4]
[4,1,2,8,6,3,5,7]=>[4,1,8,2,6,3,5,7]
[4,1,2,8,7,3,5,6]=>[4,1,8,2,3,7,5,6]
[4,1,2,7,6,3,8,5]=>[7,6,4,1,8,2,3,5]
[8,1,2,5,6,3,4,7]=>[1,5,2,3,6,8,4,7]
[8,1,2,5,7,3,4,6]=>[1,5,2,3,4,8,7,6]
[8,1,2,7,6,3,4,5]=>[1,2,8,7,3,4,6,5]
[7,1,2,5,6,3,8,4]=>[5,7,1,2,6,8,3,4]
[4,1,2,5,8,7,3,6]=>[4,8,1,5,2,3,7,6]
[4,1,2,8,6,7,3,5]=>[1,8,4,2,6,3,7,5]
[8,1,2,5,6,7,3,4]=>[1,5,2,3,6,8,7,4]
[3,1,8,2,4,7,5,6]=>[3,8,1,2,4,7,5,6]
[3,1,8,2,6,4,5,7]=>[3,1,8,2,6,4,5,7]
[3,1,8,2,7,4,5,6]=>[3,1,8,2,4,7,5,6]
[3,1,7,2,6,4,8,5]=>[7,6,3,1,8,2,4,5]
[3,1,5,2,8,7,4,6]=>[5,8,3,1,7,2,4,6]
[3,1,8,2,6,7,4,5]=>[3,8,1,2,4,6,7,5]
[8,1,4,2,3,5,6,7]=>[1,2,4,3,8,5,6,7]
[7,1,4,2,3,5,8,6]=>[7,1,2,8,4,3,5,6]
[6,1,4,2,3,8,5,7]=>[6,1,2,8,4,3,5,7]
[8,1,4,2,3,7,5,6]=>[1,8,2,4,7,3,5,6]
[6,1,4,2,3,7,8,5]=>[6,1,7,2,4,3,8,5]
[8,1,5,2,3,4,6,7]=>[1,2,3,5,8,4,6,7]
[7,1,5,2,3,4,8,6]=>[7,1,2,8,3,5,4,6]
[8,1,7,2,3,4,5,6]=>[1,2,3,4,8,5,7,6]
[6,1,5,2,3,8,4,7]=>[6,1,5,2,3,8,4,7]
[8,1,5,2,3,7,4,6]=>[1,8,2,5,3,7,4,6]
[6,1,8,2,3,7,4,5]=>[1,6,2,8,3,7,4,5]
[6,1,5,2,3,7,8,4]=>[6,1,5,2,7,3,8,4]
[5,1,4,2,8,3,6,7]=>[5,4,1,2,3,8,6,7]
[5,1,4,2,7,3,8,6]=>[7,5,4,1,8,2,3,6]
[8,1,4,2,6,3,5,7]=>[1,4,8,2,6,3,5,7]
[8,1,4,2,7,3,5,6]=>[1,4,8,2,3,7,5,6]
[7,1,4,2,6,3,8,5]=>[7,6,1,4,8,2,3,5]
[8,1,5,2,6,3,4,7]=>[1,2,8,5,6,3,4,7]
[8,1,5,2,7,3,4,6]=>[1,2,8,5,3,7,4,6]
[7,1,8,2,6,3,4,5]=>[1,2,7,3,8,6,4,5]
[7,1,5,2,6,3,8,4]=>[7,5,1,6,8,2,3,4]
[5,1,4,2,6,8,3,7]=>[5,4,1,6,2,3,8,7]
[5,1,4,2,8,7,3,6]=>[5,8,4,1,2,7,3,6]
[8,1,4,2,6,7,3,5]=>[4,1,2,8,6,3,7,5]
[8,1,5,2,6,7,3,4]=>[1,5,2,8,6,3,7,4]
[5,1,4,2,6,7,8,3]=>[5,4,1,6,2,7,8,3]
[3,1,4,8,2,7,5,6]=>[3,8,4,1,2,5,7,6]
[3,1,8,5,2,4,6,7]=>[3,1,5,8,2,4,6,7]
[3,1,7,5,2,4,8,6]=>[7,3,8,1,5,2,4,6]
[3,1,8,6,2,4,5,7]=>[3,1,2,8,6,4,5,7]
[3,1,7,6,2,4,8,5]=>[7,3,6,1,8,2,4,5]
[3,1,6,5,2,8,4,7]=>[6,5,3,1,8,2,4,7]
[3,1,8,5,2,7,4,6]=>[3,8,5,1,7,2,4,6]
[3,1,8,6,2,7,4,5]=>[3,8,1,6,7,2,4,5]
[3,1,6,5,2,7,8,4]=>[6,5,3,7,1,2,8,4]
[8,1,4,5,2,3,6,7]=>[1,4,2,5,3,8,6,7]
[7,1,4,5,2,3,8,6]=>[7,1,4,2,8,5,3,6]
[8,1,4,6,2,3,5,7]=>[1,4,2,3,6,8,5,7]
[7,1,4,8,2,3,5,6]=>[1,2,4,7,3,5,8,6]
[7,1,4,6,2,3,8,5]=>[7,1,4,2,6,8,3,5]
[8,1,6,5,2,3,4,7]=>[1,2,6,8,3,5,4,7]
[7,1,8,5,2,3,4,6]=>[1,2,5,7,8,3,4,6]
[7,1,8,6,2,3,4,5]=>[1,2,3,7,8,6,4,5]
[7,1,6,5,2,3,8,4]=>[7,1,6,5,2,8,3,4]
[6,1,4,5,2,8,3,7]=>[4,6,1,5,2,8,3,7]
[8,1,4,5,2,7,3,6]=>[4,5,1,2,8,7,3,6]
[8,1,4,6,2,7,3,5]=>[4,1,6,2,8,7,3,5]
[8,1,6,5,2,7,3,4]=>[1,6,8,5,2,7,3,4]
[6,1,4,5,2,7,8,3]=>[4,6,1,5,7,2,8,3]
[3,1,4,8,6,2,5,7]=>[3,4,8,1,2,6,5,7]
[3,1,4,8,7,2,5,6]=>[3,4,8,1,2,5,7,6]
[3,1,4,7,6,2,8,5]=>[7,6,3,4,1,8,2,5]
[3,1,8,5,6,2,4,7]=>[3,1,5,8,2,6,4,7]
[3,1,8,5,7,2,4,6]=>[3,1,5,8,2,4,7,6]
[3,1,8,7,6,2,4,5]=>[3,1,8,7,2,6,4,5]
[3,1,7,5,6,2,8,4]=>[7,3,5,6,1,8,2,4]
[8,1,4,5,6,2,3,7]=>[1,4,2,5,6,8,3,7]
[8,1,4,5,7,2,3,6]=>[1,4,2,5,3,8,7,6]
[8,1,4,7,6,2,3,5]=>[1,4,8,2,3,7,6,5]
[8,1,7,5,6,2,3,4]=>[1,2,8,3,5,7,6,4]
[7,1,4,5,6,2,8,3]=>[4,5,1,7,6,8,2,3]
[3,1,4,5,8,7,2,6]=>[3,8,4,1,5,2,7,6]
[3,1,4,8,6,7,2,5]=>[3,4,8,1,2,6,7,5]
[3,1,8,5,6,7,2,4]=>[3,1,8,2,5,6,7,4]
[8,1,4,5,6,7,2,3]=>[1,4,2,5,6,8,7,3]
[2,8,1,5,3,4,6,7]=>[2,1,3,8,5,4,6,7]
[2,8,1,6,3,4,5,7]=>[2,1,3,8,4,6,5,7]
[2,6,1,5,3,8,4,7]=>[6,5,2,1,3,8,4,7]
[2,8,1,6,3,7,4,5]=>[2,8,1,6,3,7,4,5]
[2,6,1,5,3,7,8,4]=>[6,5,2,1,7,3,8,4]
[2,4,1,7,6,3,8,5]=>[7,6,4,2,8,1,3,5]
[2,8,1,5,6,3,4,7]=>[2,5,1,3,6,8,4,7]
[2,8,1,5,7,3,4,6]=>[2,5,1,3,4,8,7,6]
[2,8,1,7,6,3,4,5]=>[2,1,8,7,3,4,6,5]
[2,7,1,5,6,3,8,4]=>[5,7,2,1,6,8,3,4]
[2,4,1,5,8,7,3,6]=>[4,8,2,5,1,3,7,6]
[2,4,1,8,6,7,3,5]=>[2,8,4,1,6,3,7,5]
[2,8,1,5,6,7,3,4]=>[2,5,1,3,6,8,7,4]
[8,3,1,2,4,7,5,6]=>[1,8,3,2,4,7,5,6]
[5,3,1,2,8,4,6,7]=>[5,1,3,2,8,4,6,7]
[8,3,1,2,6,4,5,7]=>[1,3,8,2,6,4,5,7]
[8,3,1,2,7,4,5,6]=>[1,3,8,2,4,7,5,6]
[7,3,1,2,6,4,8,5]=>[7,6,1,3,8,2,4,5]
[5,3,1,2,6,8,4,7]=>[5,1,6,3,2,4,8,7]
[8,3,1,2,6,7,4,5]=>[1,8,3,2,4,6,7,5]
[6,4,1,2,3,8,5,7]=>[6,1,2,4,8,3,5,7]
[8,4,1,2,3,7,5,6]=>[1,8,2,4,3,7,5,6]
[6,4,1,2,3,7,8,5]=>[6,1,2,7,4,3,8,5]
[7,6,1,2,3,4,8,5]=>[7,1,2,3,6,8,4,5]
[5,8,1,2,3,7,4,6]=>[5,1,2,3,8,4,7,6]
[8,6,1,2,3,7,4,5]=>[1,6,2,3,8,7,4,5]
[8,4,1,2,7,3,5,6]=>[4,1,2,3,8,7,5,6]
[7,4,1,2,6,3,8,5]=>[7,4,1,6,8,2,3,5]
[5,8,1,2,7,3,4,6]=>[1,5,2,3,8,4,7,6]
[8,7,1,2,6,3,4,5]=>[1,2,8,3,4,7,6,5]
[5,7,1,2,6,3,8,4]=>[5,7,1,6,2,8,3,4]
[5,4,1,2,8,7,3,6]=>[5,8,1,4,2,7,3,6]
[8,4,1,2,6,7,3,5]=>[4,1,2,8,3,6,7,5]
[5,8,1,2,6,7,3,4]=>[1,5,2,6,3,8,7,4]
[5,4,1,2,6,7,8,3]=>[5,1,4,6,2,7,8,3]
[7,3,1,8,2,4,5,6]=>[3,1,2,7,4,8,5,6]
[7,3,1,6,2,4,8,5]=>[7,3,1,6,8,2,4,5]
[8,3,1,5,2,7,4,6]=>[5,3,1,8,7,2,4,6]
[8,3,1,6,2,7,4,5]=>[3,6,1,8,7,2,4,5]
[6,3,1,5,2,7,8,4]=>[6,3,5,7,1,2,8,4]
[7,4,1,8,2,3,5,6]=>[1,4,2,7,3,8,5,6]
[7,4,1,6,2,3,8,5]=>[7,1,4,6,8,2,3,5]
[8,7,1,5,2,3,4,6]=>[1,2,3,8,5,7,4,6]
[8,7,1,6,2,3,4,5]=>[1,2,3,8,4,7,6,5]
[6,7,1,5,2,3,8,4]=>[6,1,7,2,5,8,3,4]
[8,4,1,5,2,7,3,6]=>[4,5,1,8,7,2,3,6]
[8,4,1,6,2,7,3,5]=>[4,1,6,8,7,2,3,5]
[6,8,1,5,2,7,3,4]=>[1,6,5,2,8,7,3,4]
[6,4,1,5,2,7,8,3]=>[4,6,5,7,1,2,8,3]
[4,3,1,8,7,2,5,6]=>[4,3,8,1,2,7,5,6]
[4,3,1,7,6,2,8,5]=>[7,6,4,3,8,1,2,5]
[8,3,1,5,6,2,4,7]=>[3,1,2,8,5,6,4,7]
[8,3,1,5,7,2,4,6]=>[3,1,2,8,5,4,7,6]
[8,3,1,7,6,2,4,5]=>[3,1,8,2,7,6,4,5]
[7,3,1,5,6,2,8,4]=>[7,3,5,1,6,8,2,4]
[8,4,1,5,7,2,3,6]=>[1,4,2,8,5,3,7,6]
[8,4,1,7,6,2,3,5]=>[1,4,8,2,7,6,3,5]
[7,8,1,5,6,2,3,4]=>[1,2,5,3,7,8,6,4]
[7,4,1,5,6,2,8,3]=>[4,7,5,1,6,8,2,3]
[4,3,1,5,8,7,2,6]=>[4,8,3,5,1,2,7,6]
[4,3,1,8,6,7,2,5]=>[4,3,8,1,6,2,7,5]
[8,3,1,5,6,7,2,4]=>[3,1,5,2,8,6,7,4]
[8,4,1,5,6,7,2,3]=>[1,4,5,2,8,6,7,3]
[4,3,1,5,6,7,8,2]=>[4,3,5,1,6,7,8,2]
[2,8,7,1,3,4,5,6]=>[2,1,3,4,8,5,7,6]
[2,8,5,1,3,7,4,6]=>[2,8,1,5,3,7,4,6]
[2,6,8,1,3,7,4,5]=>[2,6,1,3,8,4,7,5]
[2,6,5,1,3,7,8,4]=>[6,2,5,1,7,3,8,4]
[2,8,4,1,7,3,5,6]=>[2,4,8,1,3,7,5,6]
[2,7,4,1,6,3,8,5]=>[7,6,2,4,8,1,3,5]
[2,8,5,1,7,3,4,6]=>[2,1,8,5,3,7,4,6]
[2,7,8,1,6,3,4,5]=>[2,1,7,3,4,8,6,5]
[2,7,5,1,6,3,8,4]=>[7,5,2,6,8,1,3,4]
[2,5,4,1,8,7,3,6]=>[5,8,4,2,1,7,3,6]
[2,8,4,1,6,7,3,5]=>[4,2,1,8,6,3,7,5]
[2,8,5,1,6,7,3,4]=>[2,5,1,8,6,3,7,4]
[2,5,4,1,6,7,8,3]=>[5,4,2,6,1,7,8,3]
[6,3,7,1,2,4,8,5]=>[6,1,3,7,2,8,4,5]
[8,3,5,1,2,7,4,6]=>[5,1,3,2,8,7,4,6]
[6,3,8,1,2,7,4,5]=>[1,6,3,8,2,4,7,5]
[6,3,5,1,2,7,8,4]=>[6,1,3,5,7,2,8,4]
[6,7,4,1,2,3,8,5]=>[6,1,2,7,8,4,3,5]
[6,7,5,1,2,3,8,4]=>[6,1,2,7,5,8,3,4]
[8,5,4,1,2,7,3,6]=>[5,1,4,8,2,7,3,6]
[6,8,4,1,2,7,3,5]=>[1,6,4,2,8,7,3,5]
[6,8,5,1,2,7,3,4]=>[1,6,2,5,8,7,3,4]
[6,5,4,1,2,7,8,3]=>[6,1,5,4,7,2,8,3]
[8,3,4,1,7,2,5,6]=>[3,4,1,2,8,7,5,6]
[7,3,4,1,6,2,8,5]=>[7,3,4,6,8,1,2,5]
[8,3,5,1,7,2,4,6]=>[3,1,5,2,8,7,4,6]
[7,3,8,1,6,2,4,5]=>[3,1,2,7,8,4,6,5]
[7,3,5,1,6,2,8,4]=>[5,3,7,6,8,1,2,4]
[8,5,4,1,7,2,3,6]=>[1,5,4,8,2,7,3,6]
[7,8,4,1,6,2,3,5]=>[1,4,2,7,8,6,3,5]
[7,8,5,1,6,2,3,4]=>[1,2,5,7,8,6,3,4]
[7,5,4,1,6,2,8,3]=>[5,7,4,6,8,1,2,3]
[5,3,4,1,8,7,2,6]=>[3,8,5,4,1,7,2,6]
[8,3,4,1,6,7,2,5]=>[3,4,1,8,2,6,7,5]
[8,3,5,1,6,7,2,4]=>[3,1,5,8,2,6,7,4]
[8,5,4,1,6,7,2,3]=>[1,5,4,8,6,2,7,3]
[5,3,4,1,6,7,8,2]=>[3,5,4,6,1,7,8,2]
[2,3,7,6,1,4,8,5]=>[7,2,6,3,1,8,4,5]
[2,3,8,5,1,7,4,6]=>[2,8,5,3,1,7,4,6]
[2,3,8,6,1,7,4,5]=>[2,8,3,6,1,7,4,5]
[2,3,6,5,1,7,8,4]=>[6,5,2,3,7,1,8,4]
[2,7,4,8,1,3,5,6]=>[2,1,4,7,3,5,8,6]
[2,7,4,6,1,3,8,5]=>[7,2,1,6,4,8,3,5]
[2,7,8,5,1,3,4,6]=>[2,1,3,7,5,8,4,6]
[2,7,8,6,1,3,4,5]=>[2,1,3,7,4,8,6,5]
[2,7,6,5,1,3,8,4]=>[7,2,6,5,1,8,3,4]
[2,8,4,5,1,7,3,6]=>[4,2,5,8,1,7,3,6]
[2,8,4,6,1,7,3,5]=>[4,2,1,8,6,7,3,5]
[2,8,6,5,1,7,3,4]=>[2,6,8,5,1,7,3,4]
[2,6,4,5,1,7,8,3]=>[6,2,4,5,7,1,8,3]
[7,3,4,6,1,2,8,5]=>[7,1,3,4,6,8,2,5]
[7,3,8,5,1,2,4,6]=>[1,3,2,7,8,5,4,6]
[7,3,8,6,1,2,4,5]=>[1,3,2,7,8,4,6,5]
[7,3,6,5,1,2,8,4]=>[7,1,6,3,5,8,2,4]
[7,6,4,5,1,2,8,3]=>[4,1,7,6,5,8,2,3]
[8,3,4,5,1,7,2,6]=>[3,4,5,1,8,7,2,6]
[8,3,4,6,1,7,2,5]=>[3,4,1,6,8,7,2,5]
[8,3,6,5,1,7,2,4]=>[3,1,8,6,5,7,2,4]
[8,6,4,5,1,7,2,3]=>[1,4,6,8,5,7,2,3]
[6,3,4,5,1,7,8,2]=>[3,4,6,5,7,1,8,2]
[2,3,4,8,7,1,5,6]=>[2,3,8,4,1,5,7,6]
[2,3,4,7,6,1,8,5]=>[7,6,2,3,4,8,1,5]
[2,3,8,5,7,1,4,6]=>[2,3,1,8,5,4,7,6]
[2,3,8,7,6,1,4,5]=>[2,3,8,7,1,4,6,5]
[2,3,7,5,6,1,8,4]=>[7,2,5,3,6,8,1,4]
[2,8,4,5,7,1,3,6]=>[2,1,4,5,8,3,7,6]
[2,8,4,7,6,1,3,5]=>[2,1,8,4,7,3,6,5]
[2,8,7,5,6,1,3,4]=>[2,1,3,8,7,5,6,4]
[2,7,4,5,6,1,8,3]=>[4,2,7,5,6,8,1,3]
[8,3,4,5,7,1,2,6]=>[1,3,4,5,2,8,7,6]
[8,3,4,7,6,1,2,5]=>[1,3,8,4,2,7,6,5]
[8,3,7,5,6,1,2,4]=>[1,3,2,8,5,7,6,4]
[7,3,4,5,6,1,8,2]=>[3,4,5,7,6,8,1,2]
[2,3,4,5,8,7,1,6]=>[2,8,3,4,5,1,7,6]
[2,3,4,8,6,7,1,5]=>[2,3,8,4,1,6,7,5]
[2,3,8,5,6,7,1,4]=>[2,3,1,8,5,6,7,4]
[2,8,4,5,6,7,1,3]=>[2,1,4,5,8,6,7,3]
[6,5,8,7,3,4,1,2]=>[1,3,8,6,5,7,4,2]
[4,6,7,3,8,5,1,2]=>[1,6,4,7,8,3,5,2]
[3,6,7,4,5,8,1,2]=>[1,3,6,4,7,5,8,2]
[2,6,7,4,5,1,8,3]=>[6,2,4,7,5,8,1,3]
[1,6,7,4,5,2,3,8]=>[1,6,2,4,7,5,3,8]
[1,5,4,7,6,2,3,8]=>[1,7,5,4,2,6,3,8]
[2,5,4,7,6,1,8,3]=>[7,5,4,2,6,8,1,3]
[3,5,4,7,6,8,1,2]=>[1,7,5,3,4,6,8,2]
[4,5,3,7,8,6,1,2]=>[1,7,4,5,3,8,6,2]
[5,4,3,8,7,6,1,2]=>[1,8,7,5,4,3,6,2]
[6,4,8,3,7,5,1,2]=>[1,6,8,4,3,7,5,2]
[6,3,8,4,5,7,1,2]=>[1,3,6,4,8,5,7,2]
[5,3,4,8,6,7,1,2]=>[1,3,8,5,4,6,7,2]
[4,3,5,6,8,7,1,2]=>[1,8,4,3,5,6,7,2]
[3,2,5,6,1,8,7,4]=>[8,5,3,2,6,7,1,4]
[4,2,5,6,8,1,7,3]=>[4,5,2,6,8,1,7,3]
[5,2,4,8,6,1,7,3]=>[8,2,5,4,6,7,1,3]
[6,2,8,4,5,1,7,3]=>[6,2,4,8,5,7,1,3]
[7,8,2,4,5,1,6,3]=>[4,2,5,7,8,6,1,3]
[7,8,1,4,5,2,3,6]=>[1,4,2,5,7,8,3,6]
[6,1,8,4,5,2,3,7]=>[1,6,2,4,8,5,3,7]
[5,1,4,8,6,2,3,7]=>[1,5,8,2,4,6,3,7]
[4,1,3,2,8,6,5,7]=>[6,8,4,1,3,2,5,7]
[5,1,3,8,2,6,4,7]=>[5,1,8,3,2,6,4,7]
[6,1,8,3,2,5,4,7]=>[6,3,5,8,1,2,4,7]
[7,8,1,3,2,5,4,6]=>[1,7,3,8,5,2,4,6]
[7,8,2,3,1,5,6,4]=>[7,2,3,1,8,5,6,4]
[6,2,8,3,1,5,7,4]=>[6,2,8,3,5,1,7,4]
[5,2,3,8,1,6,7,4]=>[5,2,6,3,1,8,7,4]
[6,3,8,2,1,7,5,4]=>[6,8,7,3,2,5,1,4]
[7,8,3,2,1,6,5,4]=>[7,8,3,6,5,2,1,4]
[7,8,4,2,6,1,5,3]=>[4,7,2,8,6,1,5,3]
[5,4,2,8,7,1,6,3]=>[5,8,4,7,2,1,6,3]
[4,5,2,7,8,1,6,3]=>[4,5,7,2,1,8,6,3]
[3,5,2,7,1,8,6,4]=>[7,5,3,8,2,6,1,4]
[2,5,3,7,1,6,8,4]=>[5,7,2,3,1,6,8,4]
[1,5,3,7,2,6,4,8]=>[5,7,3,1,2,6,4,8]
[1,6,7,3,2,5,4,8]=>[6,1,7,5,3,2,4,8]
[2,6,7,3,1,5,8,4]=>[6,2,7,3,5,1,8,4]
[3,6,7,2,1,8,5,4]=>[6,7,3,8,5,2,1,4]
[4,6,7,2,8,1,5,3]=>[4,6,2,7,8,1,5,3]
[5,6,7,8,2,1,4,3]=>[5,2,6,7,8,4,1,3]
[7,8,5,6,2,1,4,3]=>[5,2,7,8,6,4,1,3]
[6,5,8,7,1,2,3,4]=>[1,2,3,8,6,5,7,4]
[5,4,1,8,7,2,3,6]=>[1,5,8,4,2,7,3,6]
[6,4,8,1,7,2,3,5]=>[1,4,6,2,8,3,7,5]
[7,8,3,1,2,6,4,5]=>[1,7,3,2,8,6,4,5]
[5,3,1,8,2,7,4,6]=>[5,3,8,1,2,7,4,6]
[4,3,1,2,8,7,5,6]=>[1,8,7,4,3,2,5,6]
[4,2,1,3,8,5,7,6]=>[8,2,7,4,1,3,5,6]
[5,2,1,8,3,4,7,6]=>[8,2,5,1,7,3,4,6]
[6,2,8,1,3,4,7,5]=>[6,2,1,8,3,4,7,5]
[7,8,2,1,3,4,6,5]=>[7,2,1,3,8,6,4,5]
[4,5,2,3,7,6,1,8]=>[7,2,4,5,3,6,1,8]
[6,4,3,7,2,5,1,8]=>[4,6,3,2,7,5,1,8]
[8,4,3,6,5,1,2,7]=>[1,4,8,6,3,5,2,7]
[1,5,6,3,4,8,7,2]=>[8,5,1,3,6,4,7,2]
[4,6,2,7,3,5,1,8]=>[4,2,6,7,3,5,1,8]
[3,2,6,7,4,5,1,8]=>[3,6,2,4,7,5,1,8]
[4,7,2,6,5,3,1,8]=>[7,4,6,2,5,3,1,8]
[5,7,6,2,4,3,1,8]=>[7,2,5,6,4,3,1,8]
[1,7,5,4,8,3,6,2]=>[5,7,4,3,1,8,6,2]
[8,7,5,4,1,3,2,6]=>[1,8,5,7,4,3,2,6]
[6,8,5,4,2,1,3,7]=>[2,6,5,8,4,1,3,7]
[5,8,6,2,4,1,3,7]=>[2,1,5,8,6,4,3,7]
[4,8,2,6,5,1,3,7]=>[2,4,8,1,6,5,3,7]
[3,2,8,6,5,1,4,7]=>[3,6,8,2,1,5,4,7]
[4,1,2,6,5,8,7,3]=>[8,6,4,1,5,2,7,3]
[5,1,6,2,4,8,7,3]=>[8,5,1,6,4,2,7,3]
[6,1,5,4,2,8,7,3]=>[8,6,5,4,1,7,2,3]
[7,1,5,4,8,2,6,3]=>[5,7,4,1,8,2,6,3]
[8,1,5,4,7,6,2,3]=>[1,8,7,2,5,4,6,3]
[1,8,6,7,4,5,3,2]=>[8,4,1,6,7,5,3,2]
[8,1,6,7,4,5,2,3]=>[1,6,2,4,8,7,5,3]
[7,1,6,8,4,2,5,3]=>[7,1,6,4,8,5,2,3]
[6,1,7,8,2,4,5,3]=>[6,1,2,7,4,8,5,3]
[5,1,7,2,8,4,6,3]=>[5,7,1,8,4,2,6,3]
[4,1,2,7,8,5,6,3]=>[7,1,4,5,2,8,6,3]
[3,2,1,7,8,5,6,4]=>[7,3,5,2,1,8,6,4]
[3,2,8,7,1,5,4,6]=>[3,8,2,7,1,5,4,6]
[4,8,2,7,1,5,3,6]=>[4,2,8,1,5,7,3,6]
[5,8,7,2,1,4,3,6]=>[2,8,5,4,7,1,3,6]
[6,8,7,1,2,4,3,5]=>[1,8,2,4,6,7,3,5]
[7,8,6,1,4,2,3,5]=>[1,2,7,4,8,6,3,5]
[8,7,6,1,4,3,2,5]=>[1,8,7,4,6,3,2,5]
[1,7,6,8,4,3,5,2]=>[7,1,6,8,4,3,5,2]
[1,6,7,8,3,4,5,2]=>[3,1,6,4,7,8,5,2]
[8,6,7,1,3,4,2,5]=>[3,1,4,6,8,7,2,5]
[7,6,8,1,3,2,4,5]=>[1,3,7,2,6,8,4,5]
[5,7,8,2,1,3,4,6]=>[2,1,5,3,7,8,4,6]
[4,7,2,8,1,3,5,6]=>[2,4,1,3,7,5,8,6]
[3,2,6,8,4,1,5,7]=>[3,6,2,4,1,8,5,7]
[4,6,2,8,3,1,5,7]=>[4,2,6,3,8,1,5,7]
[5,6,8,2,3,1,4,7]=>[2,3,5,6,1,8,4,7]
[6,5,8,3,2,1,4,7]=>[3,6,5,2,8,1,4,7]
[7,5,8,3,1,2,4,6]=>[1,3,5,7,2,8,4,6]
[8,5,7,3,1,4,2,6]=>[3,5,4,8,7,1,2,6]
[1,5,7,3,8,4,6,2]=>[5,7,1,3,8,4,6,2]
[1,4,3,7,8,5,6,2]=>[4,7,3,1,5,8,6,2]
[8,4,3,7,1,5,2,6]=>[4,3,1,8,7,5,2,6]
[6,4,3,8,2,1,5,7]=>[4,6,3,2,1,8,5,7]
[4,5,2,3,8,1,6,7]=>[2,4,5,3,1,6,8,7]
[3,2,5,4,8,1,6,7]=>[5,3,2,4,1,6,8,7]
[4,5,2,3,1,8,7,6]=>[8,7,2,4,5,3,1,6]
[6,4,3,1,2,8,7,5]=>[8,6,1,7,4,3,2,5]
[7,4,3,1,8,2,6,5]=>[7,4,8,3,1,6,2,5]
[8,4,3,1,7,6,2,5]=>[4,8,3,7,1,6,2,5]
[1,5,8,3,7,6,4,2]=>[8,5,7,3,1,6,4,2]
[8,5,1,3,7,6,2,4]=>[1,8,5,3,7,2,6,4]
[7,5,1,3,8,2,6,4]=>[7,1,5,8,3,2,6,4]
[6,5,1,3,2,8,7,4]=>[8,6,5,1,7,3,2,4]
[5,6,1,2,3,8,7,4]=>[8,5,1,2,6,7,3,4]
[4,6,2,1,3,8,7,5]=>[8,6,2,4,7,1,3,5]
[3,2,6,1,4,8,7,5]=>[8,6,3,2,1,7,4,5]
[3,2,7,1,8,4,6,5]=>[7,3,8,2,1,6,4,5]
[4,7,2,1,8,3,6,5]=>[7,4,2,8,6,1,3,5]
[5,7,1,2,8,3,6,4]=>[5,7,1,2,8,6,3,4]
[6,7,1,8,2,3,5,4]=>[6,1,2,7,8,5,3,4]
[7,6,1,8,3,2,5,4]=>[7,3,6,8,5,1,2,4]
[8,6,1,7,3,5,2,4]=>[1,6,3,8,7,2,5,4]
[1,6,8,7,3,5,4,2]=>[8,6,1,7,3,5,4,2]
[1,7,8,6,5,3,4,2]=>[7,1,8,6,3,5,4,2]
[8,7,1,6,5,3,2,4]=>[1,8,7,6,3,5,2,4]
[7,8,1,6,5,2,3,4]=>[1,2,7,8,3,6,5,4]
[6,8,1,7,2,5,3,4]=>[1,6,2,8,7,3,5,4]
[5,8,1,2,7,6,3,4]=>[1,8,5,2,7,3,6,4]
[4,8,2,1,7,6,3,5]=>[4,8,2,7,1,6,3,5]
[3,2,8,1,7,6,4,5]=>[3,8,7,2,1,4,6,5]
[4,1,2,8,7,6,5,3]=>[8,7,6,4,1,5,2,3]
[5,1,8,2,7,6,4,3]=>[8,5,7,6,1,4,2,3]
[6,1,8,7,2,5,4,3]=>[8,6,1,7,5,4,2,3]
[7,1,8,6,5,2,4,3]=>[7,1,8,6,5,4,2,3]
[8,1,7,6,5,4,2,3]=>[1,8,7,6,5,2,4,3]
[3,2,5,1,6,4,8,7]=>[8,5,3,2,6,1,4,7]
[3,2,5,4,7,1,8,6]=>[7,5,3,2,4,8,1,6]
[4,2,5,3,7,6,8,1]=>[7,4,5,2,3,6,8,1]
[4,2,5,3,7,1,8,6]=>[7,4,5,2,3,8,1,6]
[4,2,5,3,6,1,8,7]=>[8,4,5,2,3,6,1,7]
[4,2,5,1,6,3,8,7]=>[8,4,5,2,6,1,3,7]
[3,1,5,4,6,2,8,7]=>[8,5,3,4,1,6,2,7]
[4,1,5,3,6,2,8,7]=>[8,4,5,3,1,6,2,7]
[4,3,5,1,6,2,8,7]=>[8,4,3,5,6,1,2,7]
[4,3,5,2,7,1,8,6]=>[7,4,3,5,2,8,1,6]
[4,3,6,2,7,5,8,1]=>[6,4,3,7,2,5,8,1]
[4,3,6,2,7,1,8,5]=>[6,4,3,7,2,8,1,5]
[4,3,6,1,7,2,8,5]=>[6,4,3,7,8,1,2,5]
[4,3,5,1,7,2,8,6]=>[7,4,3,5,8,1,2,6]
[4,1,5,3,7,2,8,6]=>[7,4,5,3,1,8,2,6]
[3,1,5,4,7,2,8,6]=>[7,5,3,4,1,8,2,6]
[2,1,5,4,7,3,8,6]=>[7,5,4,2,1,8,3,6]
[3,1,5,4,7,6,8,2]=>[7,5,3,4,1,6,8,2]
[4,1,5,3,7,6,8,2]=>[7,4,5,3,1,6,8,2]
[4,3,5,1,7,6,8,2]=>[7,4,3,5,6,1,8,2]
[4,3,6,1,7,5,8,2]=>[6,4,3,7,5,1,8,2]
[4,3,6,5,7,1,8,2]=>[6,4,3,5,7,8,1,2]
[5,3,6,4,7,2,8,1]=>[5,6,3,4,7,2,8,1]
[5,3,6,4,7,1,8,2]=>[5,6,3,4,7,8,1,2]
[5,3,6,1,7,4,8,2]=>[5,6,3,7,4,1,8,2]
[5,1,6,3,7,4,8,2]=>[5,6,7,3,1,4,8,2]
[4,1,6,3,7,5,8,2]=>[6,4,7,3,1,5,8,2]
[3,1,6,4,7,5,8,2]=>[6,7,3,4,1,5,8,2]
[2,1,6,4,7,5,8,3]=>[6,7,4,2,1,5,8,3]
[2,1,6,4,7,3,8,5]=>[6,7,4,2,1,8,3,5]
[3,1,6,4,7,2,8,5]=>[6,7,3,4,1,8,2,5]
[4,1,6,3,7,2,8,5]=>[6,4,7,3,1,8,2,5]
[5,1,6,3,7,2,8,4]=>[5,6,7,3,1,8,2,4]
[5,3,6,1,7,2,8,4]=>[5,6,3,7,8,1,2,4]
[5,3,6,2,7,1,8,4]=>[5,6,3,7,2,8,1,4]
[5,3,6,2,7,4,8,1]=>[5,6,3,7,2,4,8,1]
[5,2,6,3,7,4,8,1]=>[5,6,7,2,3,4,8,1]
[5,2,6,3,7,1,8,4]=>[5,6,7,2,3,8,1,4]
[5,2,6,1,7,3,8,4]=>[5,6,7,2,8,1,3,4]
[4,2,5,1,7,3,8,6]=>[7,4,5,2,8,1,3,6]
[4,2,6,1,7,3,8,5]=>[6,4,7,2,8,1,3,5]
[4,2,6,3,7,1,8,5]=>[6,4,7,2,3,8,1,5]
[4,2,6,3,7,5,8,1]=>[6,4,7,2,3,5,8,1]
[3,2,6,4,7,5,8,1]=>[6,7,3,2,4,5,8,1]
[3,2,6,4,7,1,8,5]=>[6,7,3,2,4,8,1,5]
[3,2,6,1,7,4,8,5]=>[6,7,3,2,8,1,4,5]
[3,2,5,1,7,4,8,6]=>[7,5,3,2,8,1,4,6]
[3,2,4,1,7,5,8,6]=>[7,8,3,2,4,1,5,6]
[3,1,4,2,7,6,8,5]=>[7,6,3,4,1,2,8,5]
[3,2,5,1,7,6,8,4]=>[7,5,3,2,6,1,8,4]
[3,2,6,1,7,5,8,4]=>[6,7,3,2,5,1,8,4]
[3,2,6,5,7,1,8,4]=>[6,5,3,2,7,8,1,4]
[4,2,6,5,7,3,8,1]=>[6,4,5,2,7,3,8,1]
[4,2,6,5,7,1,8,3]=>[6,4,5,2,7,8,1,3]
[4,2,6,1,7,5,8,3]=>[6,4,7,2,5,1,8,3]
[4,2,5,1,7,6,8,3]=>[7,4,5,2,6,1,8,3]
[4,1,5,2,7,6,8,3]=>[7,4,5,6,1,2,8,3]
[3,1,5,2,7,6,8,4]=>[7,5,3,6,1,2,8,4]
[2,1,5,3,7,6,8,4]=>[7,5,6,2,1,3,8,4]
[2,1,6,3,7,5,8,4]=>[6,7,5,2,1,3,8,4]
[3,1,6,2,7,5,8,4]=>[6,7,3,5,1,2,8,4]
[4,1,6,2,7,5,8,3]=>[6,4,7,5,1,2,8,3]
[5,1,6,2,7,4,8,3]=>[5,6,7,4,1,2,8,3]
[5,2,6,1,7,4,8,3]=>[5,6,7,2,4,1,8,3]
[5,2,6,4,7,1,8,3]=>[5,6,4,2,7,8,1,3]
[5,2,6,4,7,3,8,1]=>[5,6,4,2,7,3,8,1]
[5,4,6,2,7,3,8,1]=>[5,4,6,7,2,3,8,1]
[5,4,6,2,7,1,8,3]=>[5,4,6,7,2,8,1,3]
[5,4,6,1,7,2,8,3]=>[5,4,6,7,8,1,2,3]
[5,1,6,4,7,2,8,3]=>[5,6,4,7,1,8,2,3]
[4,1,6,5,7,2,8,3]=>[6,4,5,7,1,8,2,3]
[3,1,6,5,7,2,8,4]=>[6,5,3,7,1,8,2,4]
[2,1,6,5,7,3,8,4]=>[6,5,7,2,1,8,3,4]
[3,1,6,5,7,4,8,2]=>[6,5,3,7,1,4,8,2]
[4,1,6,5,7,3,8,2]=>[6,4,5,7,1,3,8,2]
[5,1,6,4,7,3,8,2]=>[5,6,4,7,1,3,8,2]
[5,4,6,1,7,3,8,2]=>[5,4,6,7,3,1,8,2]
[5,4,6,3,7,1,8,2]=>[5,4,6,3,7,8,1,2]
[8,6,1,3,4,2,5,7]=>[3,1,4,6,8,2,5,7]
[8,3,5,2,1,6,4,7]=>[5,3,6,8,2,1,4,7]
[8,6,3,5,2,4,1,7]=>[3,2,6,8,5,4,1,7]
[3,7,5,2,4,1,8,6]=>[7,3,8,2,5,4,1,6]
[8,3,7,5,2,4,6,1]=>[3,2,8,5,7,4,6,1]
[8,2,4,5,7,3,6,1]=>[4,2,5,3,8,7,6,1]
[2,4,5,7,3,1,8,6]=>[7,4,2,5,8,3,1,6]
[8,2,4,6,5,3,1,7]=>[4,8,2,6,5,3,1,7]
[8,2,5,4,6,1,3,7]=>[2,1,5,8,4,6,3,7]
[8,1,2,4,5,6,3,7]=>[4,1,2,5,6,8,3,7]
[8,2,5,1,3,6,4,7]=>[5,2,1,6,8,3,4,7]
[8,6,3,5,1,4,2,7]=>[3,1,8,6,5,4,2,7]
[8,6,1,4,5,3,2,7]=>[4,1,8,6,5,3,2,7]
[8,1,5,6,4,3,2,7]=>[5,6,8,1,4,3,2,7]
[5,7,4,3,2,1,8,6]=>[7,5,8,4,3,2,1,6]
[8,5,7,4,3,2,6,1]=>[5,4,8,7,3,2,6,1]
[4,6,8,3,2,7,5,1]=>[6,4,8,3,7,2,5,1]
[4,7,6,3,2,8,1,5]=>[4,7,3,6,2,1,8,5]
[1,4,6,7,3,2,8,5]=>[6,4,7,1,8,3,2,5]
[5,4,7,3,1,8,2,6]=>[5,4,3,7,1,8,2,6]
[1,7,4,5,3,2,8,6]=>[7,8,4,1,5,3,2,6]
[3,7,5,1,4,2,8,6]=>[7,3,8,5,1,4,2,6]
[5,7,4,2,1,3,8,6]=>[7,2,5,8,4,1,3,6]
[8,5,7,4,2,1,6,3]=>[5,4,8,7,6,2,1,3]
[8,3,7,5,1,4,6,2]=>[3,8,1,5,7,4,6,2]
[8,4,1,7,5,3,6,2]=>[4,8,5,7,3,1,6,2]
[4,6,3,8,7,1,5,2]=>[4,8,3,6,7,1,5,2]
[1,7,4,8,6,3,5,2]=>[4,7,8,3,1,6,5,2]
[8,4,7,6,3,5,2,1]=>[4,8,3,7,6,5,2,1]
[3,6,5,8,7,4,1,2]=>[1,8,6,5,3,7,4,2]
[3,1,5,8,6,7,4,2]=>[8,3,5,6,1,7,4,2]
[4,8,1,6,7,3,5,2]=>[4,6,1,3,8,7,5,2]
[3,6,4,1,8,7,5,2]=>[8,6,7,3,4,5,1,2]
[8,2,6,1,4,7,5,3]=>[6,8,2,1,7,4,5,3]
[2,7,6,8,1,4,3,5]=>[2,7,1,6,4,8,3,5]
[3,7,1,6,4,8,2,5]=>[3,7,1,6,4,2,8,5]
[1,7,3,5,6,8,2,4]=>[3,1,2,7,5,6,8,4]
[1,3,6,7,5,8,2,4]=>[3,6,1,2,7,5,8,4]
[3,7,6,5,8,2,1,4]=>[3,7,6,2,5,8,1,4]
[3,6,8,5,7,2,4,1]=>[3,6,2,5,8,7,4,1]
[2,3,5,7,6,8,1,4]=>[2,7,3,1,5,6,8,4]
[2,1,6,5,7,8,3,4]=>[2,6,5,1,3,7,8,4]
[5,2,7,1,3,8,4,6]=>[5,2,1,7,3,8,4,6]
[5,3,1,7,8,2,4,6]=>[3,5,1,2,7,4,8,6]
[4,2,7,6,8,3,1,5]=>[4,7,2,6,3,8,1,5]
[4,2,6,8,7,3,5,1]=>[4,8,2,6,3,7,5,1]
[3,8,2,4,6,7,5,1]=>[6,3,2,4,8,7,5,1]
[3,7,2,6,4,8,1,5]=>[3,7,2,4,6,1,8,5]
[3,2,6,1,4,7,8,5]=>[6,3,2,1,7,4,8,5]
[5,3,7,2,1,8,4,6]=>[5,3,7,2,8,1,4,6]
[4,7,3,2,1,5,8,6]=>[7,4,3,8,2,1,5,6]
[1,7,3,4,2,5,8,6]=>[7,1,8,3,4,2,5,6]
[4,7,2,1,3,5,8,6]=>[7,2,4,1,8,3,5,6]
[8,7,6,1,3,4,2,5]=>[3,1,4,8,7,6,2,5]
[8,5,7,3,2,1,6,4]=>[5,8,3,7,6,2,1,4]
[8,3,6,7,2,1,5,4]=>[6,3,2,8,7,5,1,4]
[3,7,8,6,2,1,5,4]=>[7,3,8,2,6,5,1,4]
[8,7,6,3,5,2,4,1]=>[3,2,8,7,6,5,4,1]
[2,7,4,8,1,6,5,3]=>[7,8,2,4,6,1,5,3]
[4,6,8,2,1,7,5,3]=>[6,4,8,7,2,5,1,3]
[8,4,1,5,7,2,6,3]=>[4,8,1,5,7,2,6,3]
[8,5,3,7,1,6,2,4]=>[3,5,1,8,7,2,6,4]
[8,5,7,2,1,3,6,4]=>[5,2,8,1,7,6,3,4]
[8,2,6,7,1,3,5,4]=>[6,2,1,3,8,7,5,4]
[8,3,6,1,7,5,2,4]=>[3,6,1,8,7,5,2,4]
[4,6,1,8,7,2,5,3]=>[4,8,6,1,7,5,2,3]
[8,1,2,5,6,7,4,3]=>[5,6,1,2,8,7,4,3]
[8,2,6,5,7,4,1,3]=>[2,8,1,6,5,7,4,3]
[2,1,7,8,5,6,4,3]=>[7,5,2,8,1,6,4,3]
[8,2,5,7,6,4,3,1]=>[8,5,7,2,6,4,3,1]
[2,7,6,8,5,4,1,3]=>[2,7,6,8,1,5,4,3]
[1,7,2,5,8,6,4,3]=>[7,8,5,1,6,2,4,3]
[1,7,4,8,2,6,5,3]=>[7,4,8,6,1,2,5,3]
[3,7,8,1,6,5,2,4]=>[3,7,1,8,2,6,5,4]
[2,7,8,6,1,3,5,4]=>[7,2,1,8,3,6,5,4]
[8,7,6,3,5,1,4,2]=>[3,8,1,7,6,5,4,2]
[8,4,7,6,5,1,3,2]=>[8,1,7,4,6,5,3,2]
[8,7,1,5,6,4,3,2]=>[5,8,7,1,6,4,3,2]
[8,1,6,7,5,4,3,2]=>[6,8,7,5,1,4,3,2]
[4,1,3,2,6,5,8,7]=>[8,6,4,1,3,2,5,7]
[6,3,5,1,2,4,8,7]=>[8,1,3,2,6,5,4,7]
[4,3,5,6,1,2,8,7]=>[8,1,4,3,5,6,2,7]
[8,3,7,5,2,1,4,6]=>[3,2,8,5,7,1,4,6]
[6,3,7,5,1,8,4,2]=>[6,7,5,3,8,4,1,2]
[6,5,2,7,1,8,3,4]=>[2,6,5,7,1,8,3,4]
[8,5,2,7,4,1,3,6]=>[2,5,1,8,7,4,3,6]
[3,5,2,6,4,1,8,7]=>[8,5,3,6,2,4,1,7]
[2,6,1,5,4,3,8,7]=>[8,6,5,2,1,4,3,7]
[6,1,2,4,5,3,8,7]=>[8,4,1,2,6,5,3,7]
[5,6,3,2,1,4,8,7]=>[8,3,5,6,2,1,4,7]
[2,1,6,3,5,4,8,7]=>[8,6,2,5,1,3,4,7]
[6,4,3,5,1,2,8,7]=>[8,1,4,6,3,5,2,7]
[5,3,1,4,6,2,8,7]=>[8,3,5,4,1,6,2,7]
[3,1,4,6,5,2,8,7]=>[8,6,3,4,1,5,2,7]
[5,7,4,6,2,8,3,1]=>[5,4,7,6,8,2,3,1]
[8,1,4,7,2,6,3,5]=>[4,1,8,2,3,7,6,5]
[3,4,7,8,5,2,1,6]=>[3,7,4,5,8,2,1,6]
[2,1,8,5,7,3,4,6]=>[2,1,8,5,3,4,7,6]
[8,6,3,5,1,7,4,2]=>[6,3,8,5,7,4,1,2]
[5,8,2,4,6,7,3,1]=>[5,2,4,6,8,7,3,1]
[3,4,8,6,5,7,1,2]=>[1,6,8,3,4,5,7,2]
[7,5,4,8,1,6,3,2]=>[5,7,4,8,6,1,3,2]
[5,1,4,6,8,2,7,3]=>[5,4,1,6,8,2,7,3]
[2,5,4,6,7,1,8,3]=>[5,4,2,6,7,8,1,3]
[2,4,6,3,7,5,8,1]=>[6,4,2,7,3,5,8,1]
[4,1,6,3,8,5,7,2]=>[6,4,8,1,3,5,7,2]
[3,7,4,2,8,6,5,1]=>[7,8,6,3,4,2,5,1]
[7,4,1,3,5,8,6,2]=>[7,4,1,8,3,5,6,2]
[6,5,8,4,1,7,3,2]=>[6,5,4,8,7,3,1,2]
[8,5,3,7,4,1,6,2]=>[5,3,8,7,4,6,1,2]
[2,1,5,7,4,8,6,3]=>[7,5,8,2,1,4,6,3]
[2,1,4,8,3,7,6,5]=>[8,7,4,2,1,3,6,5]
[7,4,3,8,2,1,6,5]=>[7,4,8,3,2,6,1,5]
[6,3,7,4,1,8,2,5]=>[3,6,7,4,1,8,2,5]
[8,3,1,2,5,7,6,4]=>[8,7,1,3,2,5,6,4]
[3,1,8,2,7,6,5,4]=>[8,7,6,3,1,5,2,4]
[2,3,8,1,6,7,5,4]=>[6,8,2,3,1,7,5,4]
[4,3,7,2,6,8,5,1]=>[7,4,3,2,6,8,5,1]
[4,7,2,3,8,5,6,1]=>[2,7,4,3,8,5,6,1]
[3,8,2,1,7,5,6,4]=>[8,3,7,2,1,5,6,4]
[2,8,1,3,6,5,7,4]=>[8,2,6,1,3,5,7,4]
[8,1,2,3,5,6,7,4]=>[5,1,2,3,6,8,7,4]
[7,8,2,4,3,6,1,5]=>[2,4,7,3,8,1,6,5]
[6,8,3,2,4,1,7,5]=>[6,3,8,2,7,4,1,5]
[2,1,8,3,4,6,7,5]=>[8,2,1,3,6,4,7,5]
[2,1,7,8,5,4,3,6]=>[5,7,8,2,1,4,3,6]
[5,7,3,8,1,4,2,6]=>[3,5,1,7,8,4,2,6]
[7,1,8,4,5,3,2,6]=>[1,7,8,4,5,3,2,6]
[2,7,8,5,4,3,1,6]=>[5,7,8,2,4,3,1,6]
[8,7,1,6,3,4,2,5]=>[1,8,3,4,7,6,2,5]
[3,8,6,7,2,4,1,5]=>[3,2,4,8,6,7,1,5]
[5,3,8,7,4,2,6,1]=>[5,8,3,7,4,2,6,1]
[4,3,8,7,2,1,6,5]=>[8,4,7,3,2,6,1,5]
[8,3,6,1,4,2,7,5]=>[8,3,1,6,7,4,2,5]
[7,3,5,8,2,4,1,6]=>[3,2,5,7,4,8,1,6]
[2,3,4,1,8,5,7,6]=>[8,2,7,3,4,1,5,6]
[4,1,3,2,8,5,7,6]=>[8,4,7,1,3,2,5,6]
[2,1,4,3,8,5,7,6]=>[8,4,7,2,1,3,5,6]
[4,1,3,2,6,7,8,5]=>[6,4,1,3,2,7,8,5]
[8,3,5,6,2,7,1,4]=>[3,2,5,6,8,1,7,4]
[5,3,6,1,8,7,2,4]=>[3,8,5,1,6,7,2,4]
[5,6,2,8,7,4,1,3]=>[2,8,5,6,7,1,4,3]
[7,8,5,6,1,4,2,3]=>[1,5,2,7,8,6,4,3]
[2,8,6,5,4,7,1,3]=>[2,6,8,5,1,4,7,3]
[8,1,6,4,5,7,2,3]=>[1,4,2,8,6,5,7,3]
[5,8,3,6,1,7,2,4]=>[3,5,1,6,8,7,2,4]
[2,1,8,6,5,7,3,4]=>[2,6,8,5,1,3,7,4]
[2,1,7,5,3,6,8,4]=>[5,7,6,2,1,3,8,4]
[6,7,3,5,2,1,8,4]=>[6,3,7,5,8,2,1,4]
[7,1,4,2,5,6,8,3]=>[4,1,7,5,2,6,8,3]
[2,7,4,1,6,5,8,3]=>[7,6,2,4,5,1,8,3]
[4,6,1,2,8,7,3,5]=>[4,8,1,2,6,7,3,5]
[2,4,1,5,8,7,6,3]=>[8,7,4,2,5,1,6,3]
[4,1,2,5,8,6,7,3]=>[8,1,4,5,2,6,7,3]
[6,4,2,1,5,8,7,3]=>[8,4,6,5,2,1,7,3]
[8,5,2,4,6,1,7,3]=>[5,2,4,8,6,7,1,3]
[7,5,3,2,6,8,1,4]=>[3,5,7,2,1,6,8,4]
[2,1,5,3,6,8,7,4]=>[8,5,6,2,1,3,7,4]
[7,3,5,4,6,1,8,2]=>[3,7,5,4,6,8,1,2]
[6,3,4,1,5,7,8,2]=>[3,4,6,5,1,7,8,2]
[4,3,1,5,7,6,8,2]=>[7,4,3,5,1,6,8,2]
[3,1,4,5,6,8,7,2]=>[8,3,4,1,5,6,7,2]
[4,5,2,6,3,1,8,7]=>[8,4,5,6,2,3,1,7]
[6,5,2,1,4,3,8,7]=>[8,6,2,5,4,1,3,7]
[6,5,2,7,4,8,3,1]=>[6,5,7,4,2,8,3,1]
[8,5,2,7,4,1,6,3]=>[5,8,2,7,4,6,1,3]
[8,3,7,5,2,1,6,4]=>[8,3,5,7,6,2,1,4]
[6,3,7,5,2,8,4,1]=>[6,7,5,3,8,2,4,1]
[6,3,1,5,2,4,8,7]=>[8,3,1,6,5,2,4,7]
[3,1,6,5,4,2,8,7]=>[8,6,5,3,4,1,2,7]
[5,4,3,6,1,2,8,7]=>[8,1,5,4,3,6,2,7]
[5,6,3,2,4,1,8,7]=>[8,3,5,6,2,4,1,7]
[3,6,2,4,1,5,8,7]=>[8,3,2,4,6,1,5,7]
[2,6,1,3,5,4,8,7]=>[8,6,2,1,3,5,4,7]
[6,7,2,3,4,8,5,1]=>[6,2,3,7,8,4,5,1]
[8,7,2,3,4,1,6,5]=>[8,2,3,4,7,6,1,5]
[5,1,7,3,8,4,6,2]=>[5,7,1,8,3,4,6,2]
[2,5,7,3,8,6,4,1]=>[7,5,8,2,6,3,4,1]
[7,6,1,3,5,8,4,2]=>[7,3,1,6,5,8,4,2]
[3,6,7,4,1,8,5,2]=>[6,7,3,8,4,5,1,2]
[5,6,3,7,4,8,1,2]=>[1,5,6,7,3,4,8,2]
[2,1,6,7,4,8,5,3]=>[6,7,8,2,1,4,5,3]
[2,1,8,7,4,3,6,5]=>[8,4,7,6,2,1,3,5]
[5,8,3,7,4,2,6,1]=>[5,3,8,4,7,2,6,1]
[3,8,7,4,1,2,6,5]=>[8,1,3,7,6,4,2,5]
[7,8,1,3,5,2,6,4]=>[5,3,1,7,8,6,2,4]
[5,8,7,3,2,6,1,4]=>[3,5,8,2,7,1,6,4]
[2,8,6,3,1,5,7,4]=>[6,2,8,5,3,1,7,4]
[8,1,6,3,2,5,4,7]=>[1,8,6,5,3,2,4,7]
[2,8,4,1,6,3,7,5]=>[8,2,6,4,7,1,3,5]
[4,8,1,2,7,6,3,5]=>[4,8,1,2,7,3,6,5]
[3,8,4,2,5,7,1,6]=>[3,4,2,8,5,1,7,6]
[6,8,3,5,2,7,4,1]=>[6,3,5,8,7,2,4,1]
[2,1,8,5,3,7,4,6]=>[5,2,8,7,1,3,4,6]
[2,1,5,3,8,7,6,4]=>[8,7,5,6,2,1,3,4]
[6,5,3,2,8,7,1,4]=>[3,8,6,5,2,1,7,4]
[7,5,2,4,8,1,6,3]=>[5,2,7,4,8,1,6,3]
[3,4,2,8,5,7,6,1]=>[8,3,7,4,2,5,6,1]
[2,4,1,8,7,6,5,3]=>[8,7,6,4,2,5,1,3]
[4,1,2,8,7,5,6,3]=>[8,1,7,4,5,2,6,3]
[8,4,2,1,7,5,3,6]=>[4,8,5,7,2,1,3,6]
[4,3,1,8,6,7,5,2]=>[8,4,6,3,7,1,5,2]
[3,1,4,8,6,5,7,2]=>[6,8,3,4,1,5,7,2]
[7,3,5,4,8,6,1,2]=>[1,7,8,3,5,4,6,2]
[6,4,3,5,8,1,7,2]=>[4,6,3,5,8,1,7,2]
[2,1,7,6,5,8,3,4]=>[2,7,6,5,1,3,8,4]
[5,7,3,6,1,8,2,4]=>[3,5,1,7,6,8,2,4]
[2,7,6,4,5,8,1,3]=>[2,1,7,6,4,5,8,3]
[7,1,6,5,4,8,2,3]=>[1,7,6,5,2,4,8,3]
[3,7,5,6,8,4,2,1]=>[7,3,5,6,8,4,2,1]
[5,7,1,6,8,2,4,3]=>[5,1,7,6,2,8,4,3]
[8,6,2,5,1,7,4,3]=>[6,8,2,5,7,4,1,3]
[5,6,2,1,8,7,3,4]=>[2,8,5,6,7,1,3,4]
[4,6,2,5,8,3,7,1]=>[4,6,2,5,3,8,7,1]
[7,5,2,6,3,8,1,4]=>[2,5,7,6,3,1,8,4]
[4,1,2,3,6,8,7,5]=>[8,6,1,2,4,3,7,5]
[2,4,3,1,8,5,6,7]=>[4,2,8,3,1,5,6,7]
[7,5,2,8,3,4,6,1]=>[2,5,7,3,8,4,6,1]
[5,6,2,8,4,3,1,7]=>[5,6,4,8,2,3,1,7]
[4,7,2,8,1,5,3,6]=>[4,2,7,1,8,5,3,6]
[8,7,2,1,4,5,6,3]=>[4,2,1,8,7,5,6,3]
[3,6,8,7,1,5,4,2]=>[8,3,6,7,1,5,4,2]
[5,7,8,6,3,4,1,2]=>[1,3,7,5,8,6,4,2]
[7,1,8,5,4,3,6,2]=>[5,7,8,4,3,1,6,2]
[2,7,8,4,5,3,6,1]=>[2,7,4,5,8,3,6,1]
[5,7,3,8,1,4,6,2]=>[3,5,7,1,4,8,6,2]
[2,1,7,8,5,4,6,3]=>[7,2,8,5,1,4,6,3]
[2,1,5,8,4,6,3,7]=>[5,4,2,1,6,8,3,7]
[6,5,3,8,4,1,2,7]=>[1,6,5,3,8,4,2,7]
[7,5,8,4,3,6,2,1]=>[5,7,4,8,3,6,2,1]
[2,4,8,3,5,6,1,7]=>[4,2,3,5,6,8,1,7]
[4,1,8,3,6,5,2,7]=>[4,8,6,1,3,5,2,7]
[3,4,8,1,7,2,5,6]=>[3,4,1,2,8,5,7,6]
[8,4,1,3,7,2,6,5]=>[8,4,1,3,7,2,6,5]
[3,1,8,2,4,7,6,5]=>[8,7,3,1,2,6,4,5]
[2,3,8,1,4,6,7,5]=>[6,2,3,1,4,8,7,5]
[4,3,8,2,5,1,7,6]=>[8,4,3,2,5,7,1,6]
[6,3,8,4,2,5,7,1]=>[3,6,4,8,2,5,7,1]
[7,4,3,8,2,5,1,6]=>[4,3,7,2,5,8,1,6]
[2,1,4,8,3,5,7,6]=>[8,4,2,1,3,5,7,6]
[6,8,2,4,3,5,1,7]=>[2,6,4,3,8,5,1,7]
[4,8,2,3,5,1,6,7]=>[2,4,3,5,1,8,6,7]
[3,8,2,1,4,6,5,7]=>[3,8,2,1,6,4,5,7]
[2,8,1,3,4,5,7,6]=>[8,2,1,3,4,5,7,6]
[5,3,8,7,6,2,4,1]=>[3,8,7,5,2,6,4,1]
[6,5,4,8,2,7,3,1]=>[6,5,4,8,2,7,3,1]
[5,4,6,8,2,7,3,1]=>[5,4,6,8,2,7,3,1]
[8,5,4,7,6,3,2,1]=>[8,5,7,4,6,3,2,1]
[5,8,6,7,4,3,2,1]=>[5,8,6,7,4,3,2,1]
[4,8,7,5,6,2,3,1]=>[2,4,8,7,5,6,3,1]
[6,8,4,3,7,5,2,1]=>[6,8,4,7,3,5,2,1]
[5,3,6,8,7,2,4,1]=>[3,8,5,2,6,7,4,1]
[5,4,8,3,6,7,1,2]=>[1,5,4,3,6,8,7,2]
[7,4,8,5,6,2,3,1]=>[2,4,7,8,5,6,3,1]
[4,3,8,5,2,7,6,1]=>[8,4,7,3,5,2,6,1]
[6,3,4,5,1,2,8,7]=>[8,1,3,4,6,5,2,7]
[8,3,6,5,4,7,1,2]=>[1,6,8,3,5,4,7,2]
[6,3,2,5,8,7,4,1]=>[8,6,3,5,2,7,4,1]
[6,3,4,8,7,5,1,2]=>[1,8,6,3,7,4,5,2]
[8,4,6,5,7,3,1,2]=>[1,4,8,6,5,7,3,2]
[8,3,5,7,6,1,4,2]=>[3,8,5,1,7,6,4,2]
[2,1,8,5,6,7,3,4]=>[2,8,1,3,5,6,7,4]
[8,5,4,6,2,7,1,3]=>[2,5,4,8,6,1,7,3]
[4,8,5,6,2,7,1,3]=>[2,4,5,8,6,1,7,3]
[6,8,4,5,7,2,3,1]=>[2,4,6,5,8,7,3,1]
[8,3,2,5,6,7,1,4]=>[3,2,1,5,8,6,7,4]
[7,3,2,6,8,5,4,1]=>[7,6,3,8,2,5,4,1]
[4,8,5,3,2,7,6,1]=>[8,4,7,5,3,2,6,1]
[8,3,4,5,1,7,6,2]=>[8,3,4,5,7,6,1,2]
[7,3,5,6,8,1,4,2]=>[3,5,1,7,6,8,4,2]
[8,3,4,7,6,5,1,2]=>[1,8,7,3,4,6,5,2]
[7,4,8,3,6,5,2,1]=>[7,4,8,3,6,5,2,1]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]
[3,1,9,2,4,5,6,7,8]=>[3,1,2,4,5,6,9,7,8]
[3,1,5,2,7,4,9,6,8]=>[7,5,3,1,9,2,4,6,8]
[3,1,5,2,7,4,8,9,6]=>[7,5,3,8,1,2,4,9,6]
[9,1,4,2,3,5,6,7,8]=>[1,2,4,3,5,9,6,7,8]
[3,1,4,9,2,5,6,7,8]=>[3,4,1,2,5,6,7,9,8]
[3,1,4,5,6,7,8,9,2]=>[3,4,1,5,6,7,8,9,2]
[2,9,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,9,8]
[2,4,1,9,3,5,6,7,8]=>[4,2,1,3,5,6,9,7,8]
[2,9,1,5,3,4,6,7,8]=>[2,1,3,5,9,4,6,7,8]
[2,4,1,5,9,3,6,7,8]=>[4,2,5,1,3,6,7,9,8]
[2,7,1,5,6,3,8,9,4]=>[5,7,2,1,6,8,3,9,4]
[2,9,1,8,6,7,3,4,5]=>[2,1,9,3,6,4,8,7,5]
[2,8,1,5,6,7,3,9,4]=>[5,6,2,1,8,7,9,3,4]
[2,4,1,5,9,7,8,3,6]=>[2,9,4,5,1,3,7,8,6]
[2,4,1,9,6,7,8,3,5]=>[4,2,1,9,6,3,7,8,5]
[2,9,1,5,6,7,8,3,4]=>[2,5,1,3,6,7,9,8,4]
[2,4,1,5,6,7,8,9,3]=>[4,2,5,1,6,7,8,9,3]
[9,3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,9,7,8]
[5,3,1,2,9,4,6,7,8]=>[5,1,3,2,4,9,6,7,8]
[9,3,1,2,6,4,5,7,8]=>[1,3,2,9,6,4,5,7,8]
[5,3,1,2,6,9,4,7,8]=>[5,1,6,3,2,4,7,9,8]
[9,4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,9,7,8]
[6,4,1,2,3,9,5,7,8]=>[6,1,2,4,3,9,5,7,8]
[9,4,1,2,3,7,5,6,8]=>[1,2,9,4,3,7,5,6,8]
[6,4,1,2,3,7,9,5,8]=>[6,1,2,7,4,3,5,9,8]
[5,9,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,9,8]
[5,7,1,2,3,4,9,6,8]=>[7,1,2,3,5,4,9,6,8]
[5,9,1,2,3,4,8,6,7]=>[1,9,2,3,5,4,6,8,7]
[5,7,1,2,3,4,8,9,6]=>[7,1,2,3,5,8,4,9,6]
[9,6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,9,7,8]
[8,6,1,2,3,4,5,9,7]=>[8,1,2,3,4,9,6,5,7]
[9,7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,9,6,8]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]
[7,3,4,5,6,1,8,9,2]=>[3,4,5,7,6,8,1,9,2]
[9,8,4,5,6,7,1,2,3]=>[1,2,4,5,6,9,8,7,3]
[8,3,4,5,6,7,1,9,2]=>[3,4,5,6,8,7,9,1,2]
[2,3,9,5,6,7,8,1,4]=>[2,3,1,5,9,6,7,8,4]
[2,9,4,5,6,7,8,1,3]=>[2,1,4,5,6,9,7,8,3]
[9,3,4,5,6,7,8,1,2]=>[1,3,4,5,6,7,9,8,2]
[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1]
[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1,9]
[3,4,5,6,7,8,9,1,2]=>[1,3,4,5,6,7,8,9,2]
[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8,9]
[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]
[2,1,9,3,4,5,6,7,8]=>[2,1,3,4,5,9,6,7,8]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,8,9,7]=>[8,1,2,3,4,5,6,9,7]
[1,3,4,5,6,7,8,9,2]=>[3,1,4,5,6,7,8,9,2]
[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]
[8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1]
[8,7,9,6,5,4,3,2,1]=>[8,7,9,6,5,4,3,2,1]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]
[1,2,3,4,5,6,9,7,8]=>[1,9,2,3,4,5,6,7,8]
[9,8,7,6,5,3,4,1,2]=>[1,3,9,8,7,6,5,4,2]
[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]
[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,7,8]
[2,1,4,3,6,5,8,7,9]=>[8,6,4,2,1,3,5,7,9]
[1,3,2,5,4,7,6,9,8]=>[9,7,5,3,1,2,4,6,8]
[2,3,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]
[2,3,4,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]
[2,3,4,5,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]
[2,3,4,5,6,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]
[3,4,1,5,6,7,8,9,2]=>[3,4,5,1,6,7,8,9,2]
[3,4,5,1,6,7,8,9,2]=>[3,4,5,6,1,7,8,9,2]
[3,4,5,6,1,7,8,9,2]=>[3,4,5,6,7,1,8,9,2]
[3,4,5,6,7,1,8,9,2]=>[3,4,5,6,7,8,1,9,2]
[3,4,5,6,7,8,1,9,2]=>[3,4,5,6,7,8,9,1,2]
[3,4,5,6,7,8,1,2,9]=>[1,3,4,5,6,7,8,2,9]
[8,9,6,5,4,3,2,1,7]=>[6,8,9,5,4,3,2,1,7]
[7,9,8,6,5,4,3,2,1]=>[9,7,8,6,5,4,3,2,1]
[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]
[3,4,5,6,7,1,8,2,9]=>[3,4,5,6,7,8,1,2,9]
[2,1,4,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]
[3,1,4,2,6,5,8,7,9]=>[8,6,3,4,1,2,5,7,9]
[3,1,5,2,6,4,8,7,9]=>[8,5,3,6,1,2,4,7,9]
[3,1,5,2,7,4,8,6,9]=>[7,5,3,8,1,2,4,6,9]
[3,1,5,2,7,4,6,9,8]=>[9,5,3,1,7,2,4,6,8]
[3,1,5,2,4,7,6,9,8]=>[9,7,3,1,5,2,4,6,8]
[3,1,2,5,4,7,6,9,8]=>[9,7,5,1,3,2,4,6,8]
[9,8,7,6,5,4,2,1,3]=>[2,9,8,7,6,5,4,1,3]
[9,8,7,6,5,3,2,1,4]=>[3,9,8,7,6,5,2,1,4]
[9,8,7,6,4,3,2,1,5]=>[4,9,8,7,6,3,2,1,5]
[9,8,7,5,4,3,2,1,6]=>[5,9,8,7,4,3,2,1,6]
[9,8,6,5,4,3,2,1,7]=>[6,9,8,5,4,3,2,1,7]
[9,7,6,5,4,3,2,1,8]=>[7,9,6,5,4,3,2,1,8]
[7,9,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,9,8]
[8,1,9,2,3,4,5,6,7]=>[1,2,3,4,5,8,9,6,7]
[2,1,8,9,3,4,5,6,7]=>[2,1,3,4,8,5,6,9,7]
[2,1,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,2,1,3]
[2,3,4,5,6,7,1,9,8]=>[9,2,3,4,5,6,7,1,8]
[2,1,4,5,6,7,8,9,3]=>[4,2,1,5,6,7,8,9,3]
[1,3,9,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,9,8]
[2,3,4,5,6,1,8,7,9]=>[8,2,3,4,5,6,1,7,9]
[2,3,4,5,1,7,6,8,9]=>[7,2,3,4,5,1,6,8,9]
[2,3,4,1,6,5,7,8,9]=>[6,2,3,4,1,5,7,8,9]
[2,3,1,5,4,6,7,8,9]=>[5,2,3,1,4,6,7,8,9]
[1,3,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]
[3,5,1,2,4,7,6,9,8]=>[9,7,1,3,2,5,4,6,8]
[3,1,5,7,2,4,6,9,8]=>[9,3,1,5,2,4,7,6,8]
[3,1,5,2,7,9,4,6,8]=>[5,3,1,7,2,4,6,9,8]
[3,1,5,2,6,4,9,7,8]=>[5,9,3,6,1,2,4,7,8]
[3,1,4,2,7,5,8,6,9]=>[7,8,3,4,1,2,5,6,9]
[2,1,5,3,6,4,8,7,9]=>[8,5,6,2,1,3,4,7,9]
[9,7,8,5,4,3,2,1,6]=>[5,7,9,8,4,3,2,1,6]
[9,8,6,7,4,3,2,1,5]=>[4,6,9,8,7,3,2,1,5]
[9,8,7,5,6,3,2,1,4]=>[3,5,9,8,7,6,2,1,4]
[9,8,7,6,4,5,2,1,3]=>[2,4,9,8,7,6,5,1,3]
[9,8,7,6,5,4,2,3,1]=>[2,9,8,7,6,5,4,3,1]
[1,3,2,9,4,5,6,7,8]=>[3,1,2,4,9,5,6,7,8]
[1,3,8,2,4,5,6,7,9]=>[3,1,2,4,5,6,8,7,9]
[3,4,5,6,1,7,2,9,8]=>[9,3,4,5,6,7,1,2,8]
[3,4,5,1,6,2,8,9,7]=>[8,3,4,5,6,1,2,9,7]
[3,4,1,5,2,7,8,9,6]=>[7,3,4,5,1,2,8,9,6]
[3,1,4,2,6,7,8,9,5]=>[6,3,4,1,2,7,8,9,5]
[1,3,2,5,6,7,8,9,4]=>[5,3,1,2,6,7,8,9,4]
[2,1,8,3,9,4,5,6,7]=>[2,1,3,8,9,4,5,6,7]
[2,1,7,9,3,4,5,6,8]=>[2,1,3,7,4,5,6,9,8]
[2,1,8,9,7,6,5,4,3]=>[8,9,7,6,5,2,1,4,3]
[2,1,8,7,9,6,5,4,3]=>[8,7,9,6,5,2,1,4,3]
[2,1,7,9,8,6,5,4,3]=>[9,7,8,6,5,2,1,4,3]
[4,3,5,6,7,8,9,1,2]=>[1,4,3,5,6,7,8,9,2]
[5,3,4,6,7,8,9,1,2]=>[1,3,5,4,6,7,8,9,2]
[4,5,3,6,7,8,9,1,2]=>[1,4,5,3,6,7,8,9,2]
[2,1,4,3,6,5,8,7,10,9]=>[10,8,6,4,2,1,3,5,7,9]
[4,3,2,1,6,5,8,7,10,9]=>[10,8,6,4,3,2,1,5,7,9]
[6,3,2,5,4,1,8,7,10,9]=>[10,8,6,3,5,2,4,1,7,9]
[8,3,2,5,4,7,6,1,10,9]=>[10,8,3,7,5,2,4,6,1,9]
[10,3,2,5,4,7,6,9,8,1]=>[10,3,9,7,5,2,4,6,8,1]
[2,1,6,5,4,3,8,7,10,9]=>[10,8,6,5,4,2,1,3,7,9]
[6,5,4,3,2,1,8,7,10,9]=>[10,8,6,5,4,3,2,1,7,9]
[8,5,4,3,2,7,6,1,10,9]=>[10,8,5,7,4,3,2,6,1,9]
[10,5,4,3,2,7,6,9,8,1]=>[10,5,9,7,4,3,2,6,8,1]
[2,1,8,5,4,7,6,3,10,9]=>[10,8,5,7,4,2,1,6,3,9]
[8,7,4,3,6,5,2,1,10,9]=>[10,8,4,7,6,3,5,2,1,9]
[10,7,4,3,6,5,2,9,8,1]=>[10,4,9,7,6,3,5,2,8,1]
[2,1,10,5,4,7,6,9,8,3]=>[10,5,9,7,4,2,1,6,8,3]
[10,9,4,3,6,5,8,7,2,1]=>[10,4,9,6,8,3,5,7,2,1]
[2,1,4,3,8,7,6,5,10,9]=>[10,8,7,6,4,2,1,3,5,9]
[4,3,2,1,8,7,6,5,10,9]=>[10,8,7,6,4,3,2,1,5,9]
[8,3,2,7,6,5,4,1,10,9]=>[10,8,7,6,3,5,2,4,1,9]
[10,3,2,7,6,5,4,9,8,1]=>[10,7,9,6,3,5,2,4,8,1]
[2,1,8,7,6,5,4,3,10,9]=>[10,8,7,6,5,4,2,1,3,9]
[8,7,6,5,4,3,2,1,10,9]=>[10,8,7,6,5,4,3,2,1,9]
[10,7,6,5,4,3,2,9,8,1]=>[10,7,9,6,5,4,3,2,8,1]
[2,1,10,7,6,5,4,9,8,3]=>[10,7,9,6,5,4,2,1,8,3]
[10,9,6,5,4,3,8,7,2,1]=>[10,6,9,8,5,4,3,7,2,1]
[2,1,4,3,10,7,6,9,8,5]=>[10,7,9,6,4,2,1,3,8,5]
[4,3,2,1,10,7,6,9,8,5]=>[10,7,9,6,4,3,2,1,8,5]
[10,3,2,9,6,5,8,7,4,1]=>[10,9,3,8,6,5,2,7,4,1]
[2,1,10,9,6,5,8,7,4,3]=>[10,6,9,8,5,7,2,1,4,3]
[10,9,8,5,4,7,6,3,2,1]=>[10,5,9,8,7,4,6,3,2,1]
[2,1,4,3,6,5,10,9,8,7]=>[10,9,8,6,4,2,1,3,5,7]
[4,3,2,1,6,5,10,9,8,7]=>[10,9,8,6,4,3,2,1,5,7]
[6,3,2,5,4,1,10,9,8,7]=>[10,9,8,6,3,5,2,4,1,7]
[10,3,2,5,4,9,8,7,6,1]=>[10,9,8,3,7,5,2,4,6,1]
[2,1,6,5,4,3,10,9,8,7]=>[10,9,8,6,5,4,2,1,3,7]
[6,5,4,3,2,1,10,9,8,7]=>[10,9,8,6,5,4,3,2,1,7]
[10,5,4,3,2,9,8,7,6,1]=>[10,9,8,5,7,4,3,2,6,1]
[2,1,10,5,4,9,8,7,6,3]=>[10,9,8,5,7,4,2,1,6,3]
[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,4,7,6,3,5,2,1]
[2,1,4,3,10,9,8,7,6,5]=>[10,9,8,7,6,4,2,1,3,5]
[4,3,2,1,10,9,8,7,6,5]=>[10,9,8,7,6,4,3,2,1,5]
[10,3,2,9,8,7,6,5,4,1]=>[10,9,8,7,6,3,5,2,4,1]
[2,1,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,2,1,3]
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]
[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1]
[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1,10]
[3,4,5,6,7,8,9,10,1,2]=>[1,3,4,5,6,7,8,9,10,2]
[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]
[2,10,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,10,9]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[1,3,4,5,6,7,8,9,10,2]=>[3,1,4,5,6,7,8,9,10,2]
[9,10,8,7,6,5,4,3,2,1]=>[9,10,8,7,6,5,4,3,2,1]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]
[3,1,4,5,6,7,8,9,10,2]=>[3,4,1,5,6,7,8,9,10,2]
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]
[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]
[1,3,2,5,4,7,6,9,8,10]=>[9,7,5,3,1,2,4,6,8,10]
[2,3,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]
[2,3,4,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]
[2,3,4,5,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]
[2,3,4,5,6,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]
[2,3,4,5,6,7,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]
[2,3,4,5,6,7,8,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]
[3,4,1,5,6,7,8,9,10,2]=>[3,4,5,1,6,7,8,9,10,2]
[3,4,5,1,6,7,8,9,10,2]=>[3,4,5,6,1,7,8,9,10,2]
[3,4,5,6,1,7,8,9,10,2]=>[3,4,5,6,7,1,8,9,10,2]
[3,4,5,6,7,1,8,9,10,2]=>[3,4,5,6,7,8,1,9,10,2]
[3,4,5,6,7,8,1,9,10,2]=>[3,4,5,6,7,8,9,1,10,2]
[3,4,5,6,7,8,9,1,10,2]=>[3,4,5,6,7,8,9,10,1,2]
[3,1,4,2,6,5,8,7,10,9]=>[10,8,6,3,4,1,2,5,7,9]
[3,1,5,2,6,4,8,7,10,9]=>[10,8,5,3,6,1,2,4,7,9]
[3,1,5,2,7,4,8,6,10,9]=>[10,7,5,3,8,1,2,4,6,9]
[3,1,5,2,7,4,9,6,10,8]=>[9,7,5,3,10,1,2,4,6,8]
[3,1,5,2,7,4,9,6,8,10]=>[7,5,3,1,9,2,4,6,8,10]
[3,1,5,2,7,4,6,9,8,10]=>[9,5,3,1,7,2,4,6,8,10]
[3,1,5,2,4,7,6,9,8,10]=>[9,7,3,1,5,2,4,6,8,10]
[3,1,2,5,4,7,6,9,8,10]=>[9,7,5,1,3,2,4,6,8,10]
[10,9,8,7,6,5,4,2,1,3]=>[2,10,9,8,7,6,5,4,1,3]
[10,9,8,7,6,5,3,2,1,4]=>[3,10,9,8,7,6,5,2,1,4]
[10,9,8,7,6,4,3,2,1,5]=>[4,10,9,8,7,6,3,2,1,5]
[10,9,8,7,5,4,3,2,1,6]=>[5,10,9,8,7,4,3,2,1,6]
[10,9,8,6,5,4,3,2,1,7]=>[6,10,9,8,5,4,3,2,1,7]
[10,9,7,6,5,4,3,2,1,8]=>[7,10,9,6,5,4,3,2,1,8]
[10,8,7,6,5,4,3,2,1,9]=>[8,10,7,6,5,4,3,2,1,9]
[10,3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,10,8,9]
[10,4,1,2,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,10,8,9]
[5,10,1,2,3,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,10,9]
[10,6,1,2,3,4,5,7,8,9]=>[1,2,3,4,6,5,7,10,8,9]
[10,7,1,2,3,4,5,6,8,9]=>[1,2,3,4,5,7,6,10,8,9]
[8,10,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,10,9]
[2,4,1,5,6,7,8,9,10,3]=>[4,2,5,1,6,7,8,9,10,3]
[10,3,4,5,6,7,8,9,1,2]=>[1,3,4,5,6,7,8,10,9,2]
[2,10,1,5,6,7,8,9,3,4]=>[2,5,1,3,6,7,8,10,9,4]
[2,10,4,5,6,7,8,9,1,3]=>[2,1,4,5,6,7,10,8,9,3]
[9,3,4,5,6,7,8,1,10,2]=>[3,4,5,6,7,9,8,10,1,2]
[2,4,1,10,6,7,8,9,3,5]=>[4,2,1,10,3,6,7,8,9,5]
[2,9,1,5,6,7,8,3,10,4]=>[5,6,2,1,7,9,8,10,3,4]
[1,3,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]
[1,3,10,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,10,9]
[9,7,1,2,3,4,5,6,10,8]=>[9,1,2,3,4,5,10,7,6,8]
[8,6,1,2,3,4,5,10,7,9]=>[8,1,2,3,4,6,10,5,7,9]
[5,7,1,2,3,4,10,6,8,9]=>[7,1,2,3,5,4,6,10,8,9]
[6,4,1,2,3,10,5,7,8,9]=>[6,1,2,4,3,5,10,7,8,9]
[5,3,1,2,10,4,6,7,8,9]=>[5,1,3,2,4,6,10,7,8,9]
[2,4,1,10,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,10,8,9]
[3,1,10,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,10,8,9]
[2,1,10,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,10,7,8,9]
[2,1,9,10,3,4,5,6,7,8]=>[2,1,3,4,5,9,6,7,10,8]
[2,1,9,10,8,7,6,5,4,3]=>[9,10,8,7,6,5,2,1,4,3]
[4,3,5,6,7,8,9,10,1,2]=>[1,4,3,5,6,7,8,9,10,2]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,11,10]
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,11,10,9]
[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,11,1]
[2,11,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,11,10]
[11,3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,11,9,10]
[11,4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,11,9,10]
[5,11,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,11,10]
[11,6,1,2,3,4,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,11,9,10]
[11,7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,11,9,10]
[8,11,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,11,10]
[11,9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,11,8,10]
[2,4,1,5,6,7,8,9,10,11,3]=>[4,2,5,1,6,7,8,9,10,11,3]
[11,3,4,5,6,7,8,9,10,1,2]=>[1,3,4,5,6,7,8,9,11,10,2]
[2,11,1,5,6,7,8,9,10,3,4]=>[2,5,1,3,6,7,8,9,11,10,4]
[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]
[1,3,2,4,5,6,7,8,9,10,11]=>[3,1,2,4,5,6,7,8,9,10,11]
[2,1,11,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,11,8,9,10]
[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]
[2,1,11,10,9,8,7,6,5,4,3]=>[11,10,9,8,7,6,5,4,2,1,3]
[3,4,5,6,7,8,9,10,11,1,2]=>[1,3,4,5,6,7,8,9,10,11,2]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[12,10,8,6,4,2,1,3,5,7,9,11]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[12,11,10,8,6,4,2,1,3,5,7,9]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[12,10,9,8,6,4,2,1,3,5,7,11]
[2,1,4,3,6,5,12,9,8,11,10,7]=>[12,9,11,8,6,4,2,1,3,5,10,7]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[12,11,10,9,8,6,4,2,1,3,5,7]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[12,10,8,7,6,4,2,1,3,5,9,11]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[12,11,10,8,7,6,4,2,1,3,5,9]
[2,1,4,3,10,7,6,9,8,5,12,11]=>[12,10,7,9,6,4,2,1,3,8,5,11]
[2,1,4,3,12,7,6,9,8,11,10,5]=>[12,7,11,9,6,4,2,1,3,8,10,5]
[2,1,4,3,12,7,6,11,10,9,8,5]=>[12,11,10,7,9,6,4,2,1,3,8,5]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[12,10,9,8,7,6,4,2,1,3,5,11]
[2,1,4,3,12,9,8,7,6,11,10,5]=>[12,9,11,8,7,6,4,2,1,3,10,5]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[12,8,11,10,7,9,4,2,1,3,6,5]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[12,11,10,9,8,7,6,4,2,1,3,5]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[12,10,8,6,5,4,2,1,3,7,9,11]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[12,11,10,8,6,5,4,2,1,3,7,9]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[12,10,9,8,6,5,4,2,1,3,7,11]
[2,1,6,5,4,3,12,9,8,11,10,7]=>[12,9,11,8,6,5,4,2,1,3,10,7]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[12,11,10,9,8,6,5,4,2,1,3,7]
[2,1,8,5,4,7,6,3,10,9,12,11]=>[12,10,8,5,7,4,2,1,6,3,9,11]
[2,1,8,5,4,7,6,3,12,11,10,9]=>[12,11,10,8,5,7,4,2,1,6,3,9]
[2,1,10,5,4,7,6,9,8,3,12,11]=>[12,10,5,9,7,4,2,1,6,8,3,11]
[2,1,12,5,4,7,6,9,8,11,10,3]=>[12,5,11,9,7,4,2,1,6,8,10,3]
[2,1,12,5,4,7,6,11,10,9,8,3]=>[12,11,10,5,9,7,4,2,1,6,8,3]
[2,1,10,5,4,9,8,7,6,3,12,11]=>[12,10,9,8,5,7,4,2,1,6,3,11]
[2,1,12,5,4,9,8,7,6,11,10,3]=>[12,9,11,8,5,7,4,2,1,6,10,3]
[2,1,12,5,4,11,8,7,10,9,6,3]=>[12,11,5,10,8,7,4,2,1,9,6,3]
[2,1,12,5,4,11,10,9,8,7,6,3]=>[12,11,10,9,8,5,7,4,2,1,6,3]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[12,10,8,7,6,5,4,2,1,3,9,11]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[12,11,10,8,7,6,5,4,2,1,3,9]
[2,1,10,7,6,5,4,9,8,3,12,11]=>[12,10,7,9,6,5,4,2,1,8,3,11]
[2,1,12,7,6,5,4,9,8,11,10,3]=>[12,7,11,9,6,5,4,2,1,8,10,3]
[2,1,12,7,6,5,4,11,10,9,8,3]=>[12,11,10,7,9,6,5,4,2,1,8,3]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[12,10,6,9,8,5,7,2,1,4,3,11]
[2,1,12,9,6,5,8,7,4,11,10,3]=>[12,6,11,9,8,5,7,2,1,4,10,3]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[12,6,11,8,10,5,7,2,1,9,4,3]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[12,11,10,6,9,8,5,7,2,1,4,3]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[12,10,9,8,7,6,5,4,2,1,3,11]
[2,1,12,9,8,7,6,5,4,11,10,3]=>[12,9,11,8,7,6,5,4,2,1,10,3]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[12,8,11,10,7,6,5,9,2,1,4,3]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[12,7,11,10,9,6,8,5,2,1,4,3]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[12,11,10,9,8,7,6,5,4,2,1,3]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[12,10,8,6,4,3,2,1,5,7,9,11]
[4,3,2,1,6,5,8,7,12,11,10,9]=>[12,11,10,8,6,4,3,2,1,5,7,9]
[4,3,2,1,6,5,10,9,8,7,12,11]=>[12,10,9,8,6,4,3,2,1,5,7,11]
[4,3,2,1,6,5,12,9,8,11,10,7]=>[12,9,11,8,6,4,3,2,1,5,10,7]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[12,11,10,9,8,6,4,3,2,1,5,7]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[12,10,8,7,6,4,3,2,1,5,9,11]
[4,3,2,1,8,7,6,5,12,11,10,9]=>[12,11,10,8,7,6,4,3,2,1,5,9]
[4,3,2,1,10,7,6,9,8,5,12,11]=>[12,10,7,9,6,4,3,2,1,8,5,11]
[4,3,2,1,12,7,6,9,8,11,10,5]=>[12,7,11,9,6,4,3,2,1,8,10,5]
[4,3,2,1,12,7,6,11,10,9,8,5]=>[12,11,10,7,9,6,4,3,2,1,8,5]
[4,3,2,1,10,9,8,7,6,5,12,11]=>[12,10,9,8,7,6,4,3,2,1,5,11]
[4,3,2,1,12,9,8,7,6,11,10,5]=>[12,9,11,8,7,6,4,3,2,1,10,5]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[12,8,11,10,7,9,4,3,2,1,6,5]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[12,11,10,9,8,7,6,4,3,2,1,5]
[6,3,2,5,4,1,8,7,10,9,12,11]=>[12,10,8,6,3,5,2,4,1,7,9,11]
[6,3,2,5,4,1,8,7,12,11,10,9]=>[12,11,10,8,6,3,5,2,4,1,7,9]
[6,3,2,5,4,1,10,9,8,7,12,11]=>[12,10,9,8,6,3,5,2,4,1,7,11]
[6,3,2,5,4,1,12,9,8,11,10,7]=>[12,9,11,8,6,3,5,2,4,1,10,7]
[6,3,2,5,4,1,12,11,10,9,8,7]=>[12,11,10,9,8,6,3,5,2,4,1,7]
[8,3,2,5,4,7,6,1,10,9,12,11]=>[12,10,8,3,7,5,2,4,6,1,9,11]
[8,3,2,5,4,7,6,1,12,11,10,9]=>[12,11,10,8,3,7,5,2,4,6,1,9]
[10,3,2,5,4,7,6,9,8,1,12,11]=>[12,10,3,9,7,5,2,4,6,8,1,11]
[12,3,2,5,4,7,6,9,8,11,10,1]=>[12,3,11,9,7,5,2,4,6,8,10,1]
[12,3,2,5,4,7,6,11,10,9,8,1]=>[12,11,10,3,9,7,5,2,4,6,8,1]
[10,3,2,5,4,9,8,7,6,1,12,11]=>[12,10,9,8,3,7,5,2,4,6,1,11]
[12,3,2,5,4,9,8,7,6,11,10,1]=>[12,9,11,8,3,7,5,2,4,6,10,1]
[12,3,2,5,4,11,8,7,10,9,6,1]=>[12,11,3,10,8,7,5,2,4,9,6,1]
[12,3,2,5,4,11,10,9,8,7,6,1]=>[12,11,10,9,8,3,7,5,2,4,6,1]
[8,3,2,7,6,5,4,1,10,9,12,11]=>[12,10,8,7,6,3,5,2,4,1,9,11]
[8,3,2,7,6,5,4,1,12,11,10,9]=>[12,11,10,8,7,6,3,5,2,4,1,9]
[10,3,2,7,6,5,4,9,8,1,12,11]=>[12,10,7,9,6,3,5,2,4,8,1,11]
[12,3,2,7,6,5,4,9,8,11,10,1]=>[12,7,11,9,6,3,5,2,4,8,10,1]
[12,3,2,7,6,5,4,11,10,9,8,1]=>[12,11,10,7,9,6,3,5,2,4,8,1]
[10,3,2,9,6,5,8,7,4,1,12,11]=>[12,10,9,3,8,6,5,2,7,4,1,11]
[12,3,2,9,6,5,8,7,4,11,10,1]=>[12,9,11,3,8,6,5,2,7,4,10,1]
[12,3,2,11,6,5,8,7,10,9,4,1]=>[12,11,3,8,10,6,5,2,7,9,4,1]
[12,3,2,11,6,5,10,9,8,7,4,1]=>[12,11,10,9,3,8,6,5,2,7,4,1]
[10,3,2,9,8,7,6,5,4,1,12,11]=>[12,10,9,8,7,6,3,5,2,4,1,11]
[12,3,2,9,8,7,6,5,4,11,10,1]=>[12,9,11,8,7,6,3,5,2,4,10,1]
[12,3,2,11,8,7,6,5,10,9,4,1]=>[12,8,11,10,7,6,3,5,2,9,4,1]
[12,3,2,11,10,7,6,9,8,5,4,1]=>[12,11,10,3,9,7,6,8,2,5,4,1]
[12,3,2,11,10,9,8,7,6,5,4,1]=>[12,11,10,9,8,7,6,3,5,2,4,1]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[12,10,8,6,5,4,3,2,1,7,9,11]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[12,11,10,8,6,5,4,3,2,1,7,9]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[12,10,9,8,6,5,4,3,2,1,7,11]
[6,5,4,3,2,1,12,9,8,11,10,7]=>[12,9,11,8,6,5,4,3,2,1,10,7]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[12,11,10,9,8,6,5,4,3,2,1,7]
[8,5,4,3,2,7,6,1,10,9,12,11]=>[12,10,8,5,7,4,3,2,6,1,9,11]
[8,5,4,3,2,7,6,1,12,11,10,9]=>[12,11,10,8,5,7,4,3,2,6,1,9]
[10,5,4,3,2,7,6,9,8,1,12,11]=>[12,10,5,9,7,4,3,2,6,8,1,11]
[12,5,4,3,2,7,6,9,8,11,10,1]=>[12,5,11,9,7,4,3,2,6,8,10,1]
[12,5,4,3,2,7,6,11,10,9,8,1]=>[12,11,10,5,9,7,4,3,2,6,8,1]
[10,5,4,3,2,9,8,7,6,1,12,11]=>[12,10,9,8,5,7,4,3,2,6,1,11]
[12,5,4,3,2,9,8,7,6,11,10,1]=>[12,9,11,8,5,7,4,3,2,6,10,1]
[12,5,4,3,2,11,8,7,10,9,6,1]=>[12,11,5,10,8,7,4,3,2,9,6,1]
[12,5,4,3,2,11,10,9,8,7,6,1]=>[12,11,10,9,8,5,7,4,3,2,6,1]
[8,7,4,3,6,5,2,1,10,9,12,11]=>[12,10,8,4,7,6,3,5,2,1,9,11]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[12,11,10,8,4,7,6,3,5,2,1,9]
[10,7,4,3,6,5,2,9,8,1,12,11]=>[12,10,4,9,7,6,3,5,2,8,1,11]
[12,7,4,3,6,5,2,9,8,11,10,1]=>[12,4,11,9,7,6,3,5,2,8,10,1]
[12,7,4,3,6,5,2,11,10,9,8,1]=>[12,11,10,4,9,7,6,3,5,2,8,1]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[12,10,4,9,6,8,3,5,7,2,1,11]
[12,9,4,3,6,5,8,7,2,11,10,1]=>[12,4,11,9,6,8,3,5,7,2,10,1]
[12,11,4,3,6,5,8,7,10,9,2,1]=>[12,4,11,6,10,8,3,5,7,9,2,1]
[12,11,4,3,6,5,10,9,8,7,2,1]=>[12,11,10,4,9,6,8,3,5,7,2,1]
[10,9,4,3,8,7,6,5,2,1,12,11]=>[12,10,9,8,4,7,6,3,5,2,1,11]
[12,9,4,3,8,7,6,5,2,11,10,1]=>[12,9,11,8,4,7,6,3,5,2,10,1]
[12,11,4,3,8,7,6,5,10,9,2,1]=>[12,8,11,10,4,7,6,3,5,9,2,1]
[12,11,4,3,10,7,6,9,8,5,2,1]=>[12,11,4,10,7,9,6,3,8,5,2,1]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,4,7,6,3,5,2,1]
[8,7,6,5,4,3,2,1,10,9,12,11]=>[12,10,8,7,6,5,4,3,2,1,9,11]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[12,11,10,8,7,6,5,4,3,2,1,9]
[10,7,6,5,4,3,2,9,8,1,12,11]=>[12,10,7,9,6,5,4,3,2,8,1,11]
[12,7,6,5,4,3,2,9,8,11,10,1]=>[12,7,11,9,6,5,4,3,2,8,10,1]
[12,7,6,5,4,3,2,11,10,9,8,1]=>[12,11,10,7,9,6,5,4,3,2,8,1]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[12,10,6,9,8,5,4,3,7,2,1,11]
[12,9,6,5,4,3,8,7,2,11,10,1]=>[12,6,11,9,8,5,4,3,7,2,10,1]
[12,11,6,5,4,3,8,7,10,9,2,1]=>[12,6,11,8,10,5,4,3,7,9,2,1]
[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,6,9,8,5,4,3,7,2,1]
[10,9,8,5,4,7,6,3,2,1,12,11]=>[12,10,5,9,8,7,4,6,3,2,1,11]
[12,9,8,5,4,7,6,3,2,11,10,1]=>[12,5,11,9,8,7,4,6,3,2,10,1]
[12,11,8,5,4,7,6,3,10,9,2,1]=>[12,5,11,8,10,7,4,6,3,9,2,1]
[12,11,10,5,4,7,6,9,8,3,2,1]=>[12,5,11,7,10,9,4,6,8,3,2,1]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[12,11,10,5,9,8,7,4,6,3,2,1]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[12,10,9,8,7,6,5,4,3,2,1,11]
[12,9,8,7,6,5,4,3,2,11,10,1]=>[12,9,11,8,7,6,5,4,3,2,10,1]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[12,8,11,10,7,6,5,4,3,9,2,1]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[12,7,11,10,9,6,5,4,8,3,2,1]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,6,11,10,9,8,5,7,4,3,2,1]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]
[2,3,4,5,6,7,8,9,10,11,12,1]=>[2,3,4,5,6,7,8,9,10,11,12,1]
[2,4,1,5,6,7,8,9,10,11,12,3]=>[4,2,5,1,6,7,8,9,10,11,12,3]
          

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

Description

Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.

If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.

In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is

$1$
$|1|4 \to 14$
$|14|2 \to 412$
$|4|1|2|5 \to 4125$
$|4|125|3 \to 45123.$

In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).

References

[1] Foata, D., Schützenberger, M.-P. Major index and inversion number of permutations MathSciNet:0506852
[2] Foata bijection Mp00096

Properties

bijective, graded

Sage code

def mapping(elt):
    return elt.foata_bijection()

Weight

Created

Jan 26, 2020 at 12:32 by FindStatCrew

Updated

Jan 26, 2020 at 12:32 by Martin Rubey