- FindStat

edit this map or download as text // json

Identifier

Mp00277: Permutations —catalanization⟶ Permutations

Images

=>
            
              
            

            [1]=>[1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[1,3,2]
[2,1,3]=>[2,1,3]
[2,3,1]=>[2,3,1]
[3,1,2]=>[2,3,1]
[3,2,1]=>[3,2,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[1,2,4,3]
[1,3,2,4]=>[1,3,2,4]
[1,3,4,2]=>[1,3,4,2]
[1,4,2,3]=>[1,3,4,2]
[1,4,3,2]=>[1,4,3,2]
[2,1,3,4]=>[2,1,3,4]
[2,1,4,3]=>[2,1,4,3]
[2,3,1,4]=>[2,3,1,4]
[2,3,4,1]=>[2,3,4,1]
[2,4,1,3]=>[4,3,1,2]
[2,4,3,1]=>[2,4,3,1]
[3,1,2,4]=>[2,3,1,4]
[3,1,4,2]=>[2,3,4,1]
[3,2,1,4]=>[3,2,1,4]
[3,2,4,1]=>[3,2,4,1]
[3,4,1,2]=>[4,3,2,1]
[3,4,2,1]=>[3,4,2,1]
[4,1,2,3]=>[2,3,4,1]
[4,1,3,2]=>[2,4,3,1]
[4,2,1,3]=>[3,2,4,1]
[4,2,3,1]=>[3,4,2,1]
[4,3,1,2]=>[3,4,2,1]
[4,3,2,1]=>[4,3,2,1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[1,2,3,5,4]
[1,2,4,3,5]=>[1,2,4,3,5]
[1,2,4,5,3]=>[1,2,4,5,3]
[1,2,5,3,4]=>[1,2,4,5,3]
[1,2,5,4,3]=>[1,2,5,4,3]
[1,3,2,4,5]=>[1,3,2,4,5]
[1,3,2,5,4]=>[1,3,2,5,4]
[1,3,4,2,5]=>[1,3,4,2,5]
[1,3,4,5,2]=>[1,3,4,5,2]
[1,3,5,2,4]=>[1,5,4,2,3]
[1,3,5,4,2]=>[1,3,5,4,2]
[1,4,2,3,5]=>[1,3,4,2,5]
[1,4,2,5,3]=>[1,3,4,5,2]
[1,4,3,2,5]=>[1,4,3,2,5]
[1,4,3,5,2]=>[1,4,3,5,2]
[1,4,5,2,3]=>[1,5,4,3,2]
[1,4,5,3,2]=>[1,4,5,3,2]
[1,5,2,3,4]=>[1,3,4,5,2]
[1,5,2,4,3]=>[1,3,5,4,2]
[1,5,3,2,4]=>[1,4,3,5,2]
[1,5,3,4,2]=>[1,4,5,3,2]
[1,5,4,2,3]=>[1,4,5,3,2]
[1,5,4,3,2]=>[1,5,4,3,2]
[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,5,3]=>[2,1,4,5,3]
[2,1,5,3,4]=>[2,1,4,5,3]
[2,1,5,4,3]=>[2,1,5,4,3]
[2,3,1,4,5]=>[2,3,1,4,5]
[2,3,1,5,4]=>[2,3,1,5,4]
[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]=>[2,5,4,1,3]
[2,3,5,4,1]=>[2,3,5,4,1]
[2,4,1,3,5]=>[4,3,1,2,5]
[2,4,1,5,3]=>[4,3,1,5,2]
[2,4,3,1,5]=>[2,4,3,1,5]
[2,4,3,5,1]=>[2,4,3,5,1]
[2,4,5,1,3]=>[3,5,4,1,2]
[2,4,5,3,1]=>[2,4,5,3,1]
[2,5,1,3,4]=>[4,3,1,5,2]
[2,5,1,4,3]=>[5,3,1,4,2]
[2,5,3,1,4]=>[5,4,3,1,2]
[2,5,3,4,1]=>[2,4,5,3,1]
[2,5,4,1,3]=>[3,4,5,1,2]
[2,5,4,3,1]=>[2,5,4,3,1]
[3,1,2,4,5]=>[2,3,1,4,5]
[3,1,2,5,4]=>[2,3,1,5,4]
[3,1,4,2,5]=>[2,3,4,1,5]
[3,1,4,5,2]=>[2,3,4,5,1]
[3,1,5,2,4]=>[2,5,4,1,3]
[3,1,5,4,2]=>[2,3,5,4,1]
[3,2,1,4,5]=>[3,2,1,4,5]
[3,2,1,5,4]=>[3,2,1,5,4]
[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]=>[5,2,4,1,3]
[3,2,5,4,1]=>[3,2,5,4,1]
[3,4,1,2,5]=>[4,3,2,1,5]
[3,4,1,5,2]=>[4,3,2,5,1]
[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]=>[3,5,4,2,1]
[3,4,5,2,1]=>[3,4,5,2,1]
[3,5,1,2,4]=>[4,3,5,1,2]
[3,5,1,4,2]=>[5,3,2,4,1]
[3,5,2,1,4]=>[3,4,5,1,2]
[3,5,2,4,1]=>[5,4,2,3,1]
[3,5,4,1,2]=>[3,4,5,2,1]
[3,5,4,2,1]=>[3,5,4,2,1]
[4,1,2,3,5]=>[2,3,4,1,5]
[4,1,2,5,3]=>[2,3,4,5,1]
[4,1,3,2,5]=>[2,4,3,1,5]
[4,1,3,5,2]=>[2,4,3,5,1]
[4,1,5,2,3]=>[2,5,4,3,1]
[4,1,5,3,2]=>[2,4,5,3,1]
[4,2,1,3,5]=>[3,2,4,1,5]
[4,2,1,5,3]=>[3,2,4,5,1]
[4,2,3,1,5]=>[3,4,2,1,5]
[4,2,3,5,1]=>[3,4,2,5,1]
[4,2,5,1,3]=>[5,2,4,3,1]
[4,2,5,3,1]=>[3,4,5,2,1]
[4,3,1,2,5]=>[3,4,2,1,5]
[4,3,1,5,2]=>[3,4,2,5,1]
[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]=>[5,3,4,2,1]
[4,3,5,2,1]=>[4,3,5,2,1]
[4,5,1,2,3]=>[4,3,5,2,1]
[4,5,1,3,2]=>[5,3,4,2,1]
[4,5,2,1,3]=>[3,4,5,2,1]
[4,5,2,3,1]=>[5,4,3,2,1]
[4,5,3,1,2]=>[5,4,3,2,1]
[4,5,3,2,1]=>[4,5,3,2,1]
[5,1,2,3,4]=>[2,3,4,5,1]
[5,1,2,4,3]=>[2,3,5,4,1]
[5,1,3,2,4]=>[2,4,3,5,1]
[5,1,3,4,2]=>[2,4,5,3,1]
[5,1,4,2,3]=>[2,4,5,3,1]
[5,1,4,3,2]=>[2,5,4,3,1]
[5,2,1,3,4]=>[3,2,4,5,1]
[5,2,1,4,3]=>[3,2,5,4,1]
[5,2,3,1,4]=>[3,4,2,5,1]
[5,2,3,4,1]=>[3,4,5,2,1]
[5,2,4,1,3]=>[5,4,2,3,1]
[5,2,4,3,1]=>[3,5,4,2,1]
[5,3,1,2,4]=>[3,4,2,5,1]
[5,3,1,4,2]=>[3,4,5,2,1]
[5,3,2,1,4]=>[4,3,2,5,1]
[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,4,1,2]=>[5,4,3,2,1]
[5,3,4,2,1]=>[4,5,3,2,1]
[5,4,1,2,3]=>[3,4,5,2,1]
[5,4,1,3,2]=>[3,5,4,2,1]
[5,4,2,1,3]=>[4,3,5,2,1]
[5,4,2,3,1]=>[4,5,3,2,1]
[5,4,3,1,2]=>[4,5,3,2,1]
[5,4,3,2,1]=>[5,4,3,2,1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[1,2,3,5,6,4]=>[1,2,3,5,6,4]
[1,2,3,6,4,5]=>[1,2,3,5,6,4]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[1,2,4,5,3,6]=>[1,2,4,5,3,6]
[1,2,4,5,6,3]=>[1,2,4,5,6,3]
[1,2,4,6,3,5]=>[1,2,6,5,3,4]
[1,2,4,6,5,3]=>[1,2,4,6,5,3]
[1,2,5,3,4,6]=>[1,2,4,5,3,6]
[1,2,5,3,6,4]=>[1,2,4,5,6,3]
[1,2,5,4,3,6]=>[1,2,5,4,3,6]
[1,2,5,4,6,3]=>[1,2,5,4,6,3]
[1,2,5,6,3,4]=>[1,2,6,5,4,3]
[1,2,5,6,4,3]=>[1,2,5,6,4,3]
[1,2,6,3,4,5]=>[1,2,4,5,6,3]
[1,2,6,3,5,4]=>[1,2,4,6,5,3]
[1,2,6,4,3,5]=>[1,2,5,4,6,3]
[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[1,2,6,5,3,4]=>[1,2,5,6,4,3]
[1,2,6,5,4,3]=>[1,2,6,5,4,3]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[1,3,2,5,6,4]=>[1,3,2,5,6,4]
[1,3,2,6,4,5]=>[1,3,2,5,6,4]
[1,3,2,6,5,4]=>[1,3,2,6,5,4]
[1,3,4,2,5,6]=>[1,3,4,2,5,6]
[1,3,4,2,6,5]=>[1,3,4,2,6,5]
[1,3,4,5,2,6]=>[1,3,4,5,2,6]
[1,3,4,5,6,2]=>[1,3,4,5,6,2]
[1,3,4,6,2,5]=>[1,3,6,5,2,4]
[1,3,4,6,5,2]=>[1,3,4,6,5,2]
[1,3,5,2,4,6]=>[1,5,4,2,3,6]
[1,3,5,2,6,4]=>[1,5,4,2,6,3]
[1,3,5,4,2,6]=>[1,3,5,4,2,6]
[1,3,5,4,6,2]=>[1,3,5,4,6,2]
[1,3,5,6,2,4]=>[1,4,6,5,2,3]
[1,3,5,6,4,2]=>[1,3,5,6,4,2]
[1,3,6,2,4,5]=>[1,5,4,2,6,3]
[1,3,6,2,5,4]=>[1,6,4,2,5,3]
[1,3,6,4,2,5]=>[1,6,5,4,2,3]
[1,3,6,4,5,2]=>[1,3,5,6,4,2]
[1,3,6,5,2,4]=>[1,4,5,6,2,3]
[1,3,6,5,4,2]=>[1,3,6,5,4,2]
[1,4,2,3,5,6]=>[1,3,4,2,5,6]
[1,4,2,3,6,5]=>[1,3,4,2,6,5]
[1,4,2,5,3,6]=>[1,3,4,5,2,6]
[1,4,2,5,6,3]=>[1,3,4,5,6,2]
[1,4,2,6,3,5]=>[1,3,6,5,2,4]
[1,4,2,6,5,3]=>[1,3,4,6,5,2]
[1,4,3,2,5,6]=>[1,4,3,2,5,6]
[1,4,3,2,6,5]=>[1,4,3,2,6,5]
[1,4,3,5,2,6]=>[1,4,3,5,2,6]
[1,4,3,5,6,2]=>[1,4,3,5,6,2]
[1,4,3,6,2,5]=>[1,6,3,5,2,4]
[1,4,3,6,5,2]=>[1,4,3,6,5,2]
[1,4,5,2,3,6]=>[1,5,4,3,2,6]
[1,4,5,2,6,3]=>[1,5,4,3,6,2]
[1,4,5,3,2,6]=>[1,4,5,3,2,6]
[1,4,5,3,6,2]=>[1,4,5,3,6,2]
[1,4,5,6,2,3]=>[1,4,6,5,3,2]
[1,4,5,6,3,2]=>[1,4,5,6,3,2]
[1,4,6,2,3,5]=>[1,5,4,6,2,3]
[1,4,6,2,5,3]=>[1,6,4,3,5,2]
[1,4,6,3,2,5]=>[1,4,5,6,2,3]
[1,4,6,3,5,2]=>[1,6,5,3,4,2]
[1,4,6,5,2,3]=>[1,4,5,6,3,2]
[1,4,6,5,3,2]=>[1,4,6,5,3,2]
[1,5,2,3,4,6]=>[1,3,4,5,2,6]
[1,5,2,3,6,4]=>[1,3,4,5,6,2]
[1,5,2,4,3,6]=>[1,3,5,4,2,6]
[1,5,2,4,6,3]=>[1,3,5,4,6,2]
[1,5,2,6,3,4]=>[1,3,6,5,4,2]
[1,5,2,6,4,3]=>[1,3,5,6,4,2]
[1,5,3,2,4,6]=>[1,4,3,5,2,6]
[1,5,3,2,6,4]=>[1,4,3,5,6,2]
[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[1,5,3,4,6,2]=>[1,4,5,3,6,2]
[1,5,3,6,2,4]=>[1,6,3,5,4,2]
[1,5,3,6,4,2]=>[1,4,5,6,3,2]
[1,5,4,2,3,6]=>[1,4,5,3,2,6]
[1,5,4,2,6,3]=>[1,4,5,3,6,2]
[1,5,4,3,2,6]=>[1,5,4,3,2,6]
[1,5,4,3,6,2]=>[1,5,4,3,6,2]
[1,5,4,6,2,3]=>[1,6,4,5,3,2]
[1,5,4,6,3,2]=>[1,5,4,6,3,2]
[1,5,6,2,3,4]=>[1,5,4,6,3,2]
[1,5,6,2,4,3]=>[1,6,4,5,3,2]
[1,5,6,3,2,4]=>[1,4,5,6,3,2]
[1,5,6,3,4,2]=>[1,6,5,4,3,2]
[1,5,6,4,2,3]=>[1,6,5,4,3,2]
[1,5,6,4,3,2]=>[1,5,6,4,3,2]
[1,6,2,3,4,5]=>[1,3,4,5,6,2]
[1,6,2,3,5,4]=>[1,3,4,6,5,2]
[1,6,2,4,3,5]=>[1,3,5,4,6,2]
[1,6,2,4,5,3]=>[1,3,5,6,4,2]
[1,6,2,5,3,4]=>[1,3,5,6,4,2]
[1,6,2,5,4,3]=>[1,3,6,5,4,2]
[1,6,3,2,4,5]=>[1,4,3,5,6,2]
[1,6,3,2,5,4]=>[1,4,3,6,5,2]
[1,6,3,4,2,5]=>[1,4,5,3,6,2]
[1,6,3,4,5,2]=>[1,4,5,6,3,2]
[1,6,3,5,2,4]=>[1,6,5,3,4,2]
[1,6,3,5,4,2]=>[1,4,6,5,3,2]
[1,6,4,2,3,5]=>[1,4,5,3,6,2]
[1,6,4,2,5,3]=>[1,4,5,6,3,2]
[1,6,4,3,2,5]=>[1,5,4,3,6,2]
[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[1,6,4,5,2,3]=>[1,6,5,4,3,2]
[1,6,4,5,3,2]=>[1,5,6,4,3,2]
[1,6,5,2,3,4]=>[1,4,5,6,3,2]
[1,6,5,2,4,3]=>[1,4,6,5,3,2]
[1,6,5,3,2,4]=>[1,5,4,6,3,2]
[1,6,5,3,4,2]=>[1,5,6,4,3,2]
[1,6,5,4,2,3]=>[1,5,6,4,3,2]
[1,6,5,4,3,2]=>[1,6,5,4,3,2]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]
[2,1,3,5,6,4]=>[2,1,3,5,6,4]
[2,1,3,6,4,5]=>[2,1,3,5,6,4]
[2,1,3,6,5,4]=>[2,1,3,6,5,4]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]
[2,1,4,5,3,6]=>[2,1,4,5,3,6]
[2,1,4,5,6,3]=>[2,1,4,5,6,3]
[2,1,4,6,3,5]=>[2,1,6,5,3,4]
[2,1,4,6,5,3]=>[2,1,4,6,5,3]
[2,1,5,3,4,6]=>[2,1,4,5,3,6]
[2,1,5,3,6,4]=>[2,1,4,5,6,3]
[2,1,5,4,3,6]=>[2,1,5,4,3,6]
[2,1,5,4,6,3]=>[2,1,5,4,6,3]
[2,1,5,6,3,4]=>[2,1,6,5,4,3]
[2,1,5,6,4,3]=>[2,1,5,6,4,3]
[2,1,6,3,4,5]=>[2,1,4,5,6,3]
[2,1,6,3,5,4]=>[2,1,4,6,5,3]
[2,1,6,4,3,5]=>[2,1,5,4,6,3]
[2,1,6,4,5,3]=>[2,1,5,6,4,3]
[2,1,6,5,3,4]=>[2,1,5,6,4,3]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]
[2,3,1,4,5,6]=>[2,3,1,4,5,6]
[2,3,1,4,6,5]=>[2,3,1,4,6,5]
[2,3,1,5,4,6]=>[2,3,1,5,4,6]
[2,3,1,5,6,4]=>[2,3,1,5,6,4]
[2,3,1,6,4,5]=>[2,3,1,5,6,4]
[2,3,1,6,5,4]=>[2,3,1,6,5,4]
[2,3,4,1,5,6]=>[2,3,4,1,5,6]
[2,3,4,1,6,5]=>[2,3,4,1,6,5]
[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]=>[2,3,6,5,1,4]
[2,3,4,6,5,1]=>[2,3,4,6,5,1]
[2,3,5,1,4,6]=>[2,5,4,1,3,6]
[2,3,5,1,6,4]=>[2,5,4,1,6,3]
[2,3,5,4,1,6]=>[2,3,5,4,1,6]
[2,3,5,4,6,1]=>[2,3,5,4,6,1]
[2,3,5,6,1,4]=>[2,4,6,5,1,3]
[2,3,5,6,4,1]=>[2,3,5,6,4,1]
[2,3,6,1,4,5]=>[2,5,4,1,6,3]
[2,3,6,1,5,4]=>[2,6,4,1,5,3]
[2,3,6,4,1,5]=>[2,6,5,4,1,3]
[2,3,6,4,5,1]=>[2,3,5,6,4,1]
[2,3,6,5,1,4]=>[2,4,5,6,1,3]
[2,3,6,5,4,1]=>[2,3,6,5,4,1]
[2,4,1,3,5,6]=>[4,3,1,2,5,6]
[2,4,1,3,6,5]=>[4,3,1,2,6,5]
[2,4,1,5,3,6]=>[4,3,1,5,2,6]
[2,4,1,5,6,3]=>[4,3,1,5,6,2]
[2,4,1,6,3,5]=>[6,3,1,5,2,4]
[2,4,1,6,5,3]=>[4,3,1,6,5,2]
[2,4,3,1,5,6]=>[2,4,3,1,5,6]
[2,4,3,1,6,5]=>[2,4,3,1,6,5]
[2,4,3,5,1,6]=>[2,4,3,5,1,6]
[2,4,3,5,6,1]=>[2,4,3,5,6,1]
[2,4,3,6,1,5]=>[2,6,3,5,1,4]
[2,4,3,6,5,1]=>[2,4,3,6,5,1]
[2,4,5,1,3,6]=>[3,5,4,1,2,6]
[2,4,5,1,6,3]=>[3,5,4,1,6,2]
[2,4,5,3,1,6]=>[2,4,5,3,1,6]
[2,4,5,3,6,1]=>[2,4,5,3,6,1]
[2,4,5,6,1,3]=>[3,4,6,5,1,2]
[2,4,5,6,3,1]=>[2,4,5,6,3,1]
[2,4,6,1,3,5]=>[6,5,4,1,2,3]
[2,4,6,1,5,3]=>[3,6,4,1,5,2]
[2,4,6,3,1,5]=>[2,4,5,6,1,3]
[2,4,6,3,5,1]=>[2,6,5,3,4,1]
[2,4,6,5,1,3]=>[3,4,5,6,1,2]
[2,4,6,5,3,1]=>[2,4,6,5,3,1]
[2,5,1,3,4,6]=>[4,3,1,5,2,6]
[2,5,1,3,6,4]=>[4,3,1,5,6,2]
[2,5,1,4,3,6]=>[5,3,1,4,2,6]
[2,5,1,4,6,3]=>[5,3,1,4,6,2]
[2,5,1,6,3,4]=>[6,3,1,5,4,2]
[2,5,1,6,4,3]=>[5,3,1,6,4,2]
[2,5,3,1,4,6]=>[5,4,3,1,2,6]
[2,5,3,1,6,4]=>[5,4,3,1,6,2]
[2,5,3,4,1,6]=>[2,4,5,3,1,6]
[2,5,3,4,6,1]=>[2,4,5,3,6,1]
[2,5,3,6,1,4]=>[4,6,3,5,1,2]
[2,5,3,6,4,1]=>[2,4,5,6,3,1]
[2,5,4,1,3,6]=>[3,4,5,1,2,6]
[2,5,4,1,6,3]=>[3,4,5,1,6,2]
[2,5,4,3,1,6]=>[2,5,4,3,1,6]
[2,5,4,3,6,1]=>[2,5,4,3,6,1]
[2,5,4,6,1,3]=>[3,6,4,5,1,2]
[2,5,4,6,3,1]=>[2,5,4,6,3,1]
[2,5,6,1,3,4]=>[6,5,4,1,3,2]
[2,5,6,1,4,3]=>[5,6,4,1,3,2]
[2,5,6,3,1,4]=>[3,4,5,6,1,2]
[2,5,6,3,4,1]=>[2,6,5,4,3,1]
[2,5,6,4,1,3]=>[3,6,5,4,1,2]
[2,5,6,4,3,1]=>[2,5,6,4,3,1]
[2,6,1,3,4,5]=>[4,3,1,5,6,2]
[2,6,1,3,5,4]=>[4,3,1,6,5,2]
[2,6,1,4,3,5]=>[5,3,1,4,6,2]
[2,6,1,4,5,3]=>[5,3,1,6,4,2]
[2,6,1,5,3,4]=>[5,3,1,6,4,2]
[2,6,1,5,4,3]=>[6,3,1,5,4,2]
[2,6,3,1,4,5]=>[5,4,3,1,6,2]
[2,6,3,1,5,4]=>[6,4,3,1,5,2]
[2,6,3,4,1,5]=>[6,4,5,3,1,2]
[2,6,3,4,5,1]=>[2,4,5,6,3,1]
[2,6,3,5,1,4]=>[4,6,5,3,1,2]
[2,6,3,5,4,1]=>[2,4,6,5,3,1]
[2,6,4,1,3,5]=>[3,4,5,1,6,2]
[2,6,4,1,5,3]=>[6,4,5,1,3,2]
[2,6,4,3,1,5]=>[6,5,4,3,1,2]
[2,6,4,3,5,1]=>[2,5,4,6,3,1]
[2,6,4,5,1,3]=>[3,6,5,4,1,2]
[2,6,4,5,3,1]=>[2,5,6,4,3,1]
[2,6,5,1,3,4]=>[6,4,5,1,3,2]
[2,6,5,1,4,3]=>[5,4,6,1,3,2]
[2,6,5,3,1,4]=>[3,5,4,6,1,2]
[2,6,5,3,4,1]=>[2,5,6,4,3,1]
[2,6,5,4,1,3]=>[3,5,6,4,1,2]
[2,6,5,4,3,1]=>[2,6,5,4,3,1]
[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[3,1,2,4,6,5]=>[2,3,1,4,6,5]
[3,1,2,5,4,6]=>[2,3,1,5,4,6]
[3,1,2,5,6,4]=>[2,3,1,5,6,4]
[3,1,2,6,4,5]=>[2,3,1,5,6,4]
[3,1,2,6,5,4]=>[2,3,1,6,5,4]
[3,1,4,2,5,6]=>[2,3,4,1,5,6]
[3,1,4,2,6,5]=>[2,3,4,1,6,5]
[3,1,4,5,2,6]=>[2,3,4,5,1,6]
[3,1,4,5,6,2]=>[2,3,4,5,6,1]
[3,1,4,6,2,5]=>[2,3,6,5,1,4]
[3,1,4,6,5,2]=>[2,3,4,6,5,1]
[3,1,5,2,4,6]=>[2,5,4,1,3,6]
[3,1,5,2,6,4]=>[2,5,4,1,6,3]
[3,1,5,4,2,6]=>[2,3,5,4,1,6]
[3,1,5,4,6,2]=>[2,3,5,4,6,1]
[3,1,5,6,2,4]=>[2,4,6,5,1,3]
[3,1,5,6,4,2]=>[2,3,5,6,4,1]
[3,1,6,2,4,5]=>[2,5,4,1,6,3]
[3,1,6,2,5,4]=>[2,6,4,1,5,3]
[3,1,6,4,2,5]=>[2,6,5,4,1,3]
[3,1,6,4,5,2]=>[2,3,5,6,4,1]
[3,1,6,5,2,4]=>[2,4,5,6,1,3]
[3,1,6,5,4,2]=>[2,3,6,5,4,1]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]
[3,2,1,5,6,4]=>[3,2,1,5,6,4]
[3,2,1,6,4,5]=>[3,2,1,5,6,4]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]
[3,2,4,1,5,6]=>[3,2,4,1,5,6]
[3,2,4,1,6,5]=>[3,2,4,1,6,5]
[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]=>[3,2,6,5,1,4]
[3,2,4,6,5,1]=>[3,2,4,6,5,1]
[3,2,5,1,4,6]=>[5,2,4,1,3,6]
[3,2,5,1,6,4]=>[5,2,4,1,6,3]
[3,2,5,4,1,6]=>[3,2,5,4,1,6]
[3,2,5,4,6,1]=>[3,2,5,4,6,1]
[3,2,5,6,1,4]=>[4,2,6,5,1,3]
[3,2,5,6,4,1]=>[3,2,5,6,4,1]
[3,2,6,1,4,5]=>[5,2,4,1,6,3]
[3,2,6,1,5,4]=>[6,2,4,1,5,3]
[3,2,6,4,1,5]=>[6,2,5,4,1,3]
[3,2,6,4,5,1]=>[3,2,5,6,4,1]
[3,2,6,5,1,4]=>[4,2,5,6,1,3]
[3,2,6,5,4,1]=>[3,2,6,5,4,1]
[3,4,1,2,5,6]=>[4,3,2,1,5,6]
[3,4,1,2,6,5]=>[4,3,2,1,6,5]
[3,4,1,5,2,6]=>[4,3,2,5,1,6]
[3,4,1,5,6,2]=>[4,3,2,5,6,1]
[3,4,1,6,2,5]=>[6,3,2,5,1,4]
[3,4,1,6,5,2]=>[4,3,2,6,5,1]
[3,4,2,1,5,6]=>[3,4,2,1,5,6]
[3,4,2,1,6,5]=>[3,4,2,1,6,5]
[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]=>[3,6,2,5,1,4]
[3,4,2,6,5,1]=>[3,4,2,6,5,1]
[3,4,5,1,2,6]=>[3,5,4,2,1,6]
[3,4,5,1,6,2]=>[3,5,4,2,6,1]
[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]=>[3,4,6,5,2,1]
[3,4,5,6,2,1]=>[3,4,5,6,2,1]
[3,4,6,1,2,5]=>[6,5,4,2,1,3]
[3,4,6,1,5,2]=>[3,6,4,2,5,1]
[3,4,6,2,1,5]=>[6,4,5,2,1,3]
[3,4,6,2,5,1]=>[3,6,5,2,4,1]
[3,4,6,5,1,2]=>[3,4,5,6,2,1]
[3,4,6,5,2,1]=>[3,4,6,5,2,1]
[3,5,1,2,4,6]=>[4,3,5,1,2,6]
[3,5,1,2,6,4]=>[4,3,5,1,6,2]
[3,5,1,4,2,6]=>[5,3,2,4,1,6]
[3,5,1,4,6,2]=>[5,3,2,4,6,1]
[3,5,1,6,2,4]=>[6,3,4,5,1,2]
[3,5,1,6,4,2]=>[5,3,2,6,4,1]
[3,5,2,1,4,6]=>[3,4,5,1,2,6]
[3,5,2,1,6,4]=>[3,4,5,1,6,2]
[3,5,2,4,1,6]=>[5,4,2,3,1,6]
[3,5,2,4,6,1]=>[5,4,2,3,6,1]
[3,5,2,6,1,4]=>[3,6,4,5,1,2]
[3,5,2,6,4,1]=>[5,4,2,6,3,1]
[3,5,4,1,2,6]=>[3,4,5,2,1,6]
[3,5,4,1,6,2]=>[3,4,5,2,6,1]
[3,5,4,2,1,6]=>[3,5,4,2,1,6]
[3,5,4,2,6,1]=>[3,5,4,2,6,1]
[3,5,4,6,1,2]=>[3,6,4,5,2,1]
[3,5,4,6,2,1]=>[3,5,4,6,2,1]
[3,5,6,1,2,4]=>[6,5,4,3,1,2]
[3,5,6,1,4,2]=>[5,6,4,2,3,1]
[3,5,6,2,1,4]=>[6,4,5,3,1,2]
[3,5,6,2,4,1]=>[4,6,5,2,3,1]
[3,5,6,4,1,2]=>[3,6,5,4,2,1]
[3,5,6,4,2,1]=>[3,5,6,4,2,1]
[3,6,1,2,4,5]=>[4,3,5,1,6,2]
[3,6,1,2,5,4]=>[4,3,6,1,5,2]
[3,6,1,4,2,5]=>[5,3,6,4,1,2]
[3,6,1,4,5,2]=>[5,3,2,6,4,1]
[3,6,1,5,2,4]=>[5,3,4,6,1,2]
[3,6,1,5,4,2]=>[6,3,2,5,4,1]
[3,6,2,1,4,5]=>[3,4,5,1,6,2]
[3,6,2,1,5,4]=>[3,4,6,1,5,2]
[3,6,2,4,1,5]=>[5,4,6,3,1,2]
[3,6,2,4,5,1]=>[5,4,2,6,3,1]
[3,6,2,5,1,4]=>[5,6,4,3,1,2]
[3,6,2,5,4,1]=>[6,4,2,5,3,1]
[3,6,4,1,2,5]=>[3,4,5,6,1,2]
[3,6,4,1,5,2]=>[6,4,5,2,3,1]
[3,6,4,2,1,5]=>[3,5,4,6,1,2]
[3,6,4,2,5,1]=>[6,5,4,2,3,1]
[3,6,4,5,1,2]=>[3,6,5,4,2,1]
[3,6,4,5,2,1]=>[3,5,6,4,2,1]
[3,6,5,1,2,4]=>[6,4,5,3,1,2]
[3,6,5,1,4,2]=>[5,4,6,2,3,1]
[3,6,5,2,1,4]=>[6,5,4,3,1,2]
[3,6,5,2,4,1]=>[4,5,6,2,3,1]
[3,6,5,4,1,2]=>[3,5,6,4,2,1]
[3,6,5,4,2,1]=>[3,6,5,4,2,1]
[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[4,1,2,3,6,5]=>[2,3,4,1,6,5]
[4,1,2,5,3,6]=>[2,3,4,5,1,6]
[4,1,2,5,6,3]=>[2,3,4,5,6,1]
[4,1,2,6,3,5]=>[2,3,6,5,1,4]
[4,1,2,6,5,3]=>[2,3,4,6,5,1]
[4,1,3,2,5,6]=>[2,4,3,1,5,6]
[4,1,3,2,6,5]=>[2,4,3,1,6,5]
[4,1,3,5,2,6]=>[2,4,3,5,1,6]
[4,1,3,5,6,2]=>[2,4,3,5,6,1]
[4,1,3,6,2,5]=>[2,6,3,5,1,4]
[4,1,3,6,5,2]=>[2,4,3,6,5,1]
[4,1,5,2,3,6]=>[2,5,4,3,1,6]
[4,1,5,2,6,3]=>[2,5,4,3,6,1]
[4,1,5,3,2,6]=>[2,4,5,3,1,6]
[4,1,5,3,6,2]=>[2,4,5,3,6,1]
[4,1,5,6,2,3]=>[2,4,6,5,3,1]
[4,1,5,6,3,2]=>[2,4,5,6,3,1]
[4,1,6,2,3,5]=>[2,5,4,6,1,3]
[4,1,6,2,5,3]=>[2,6,4,3,5,1]
[4,1,6,3,2,5]=>[2,4,5,6,1,3]
[4,1,6,3,5,2]=>[2,6,5,3,4,1]
[4,1,6,5,2,3]=>[2,4,5,6,3,1]
[4,1,6,5,3,2]=>[2,4,6,5,3,1]
[4,2,1,3,5,6]=>[3,2,4,1,5,6]
[4,2,1,3,6,5]=>[3,2,4,1,6,5]
[4,2,1,5,3,6]=>[3,2,4,5,1,6]
[4,2,1,5,6,3]=>[3,2,4,5,6,1]
[4,2,1,6,3,5]=>[3,2,6,5,1,4]
[4,2,1,6,5,3]=>[3,2,4,6,5,1]
[4,2,3,1,5,6]=>[3,4,2,1,5,6]
[4,2,3,1,6,5]=>[3,4,2,1,6,5]
[4,2,3,5,1,6]=>[3,4,2,5,1,6]
[4,2,3,5,6,1]=>[3,4,2,5,6,1]
[4,2,3,6,1,5]=>[3,6,2,5,1,4]
[4,2,3,6,5,1]=>[3,4,2,6,5,1]
[4,2,5,1,3,6]=>[5,2,4,3,1,6]
[4,2,5,1,6,3]=>[5,2,4,3,6,1]
[4,2,5,3,1,6]=>[3,4,5,2,1,6]
[4,2,5,3,6,1]=>[3,4,5,2,6,1]
[4,2,5,6,1,3]=>[4,2,6,5,3,1]
[4,2,5,6,3,1]=>[3,4,5,6,2,1]
[4,2,6,1,3,5]=>[5,2,4,6,1,3]
[4,2,6,1,5,3]=>[6,2,4,3,5,1]
[4,2,6,3,1,5]=>[6,4,5,2,1,3]
[4,2,6,3,5,1]=>[3,6,5,2,4,1]
[4,2,6,5,1,3]=>[4,2,5,6,3,1]
[4,2,6,5,3,1]=>[3,4,6,5,2,1]
[4,3,1,2,5,6]=>[3,4,2,1,5,6]
[4,3,1,2,6,5]=>[3,4,2,1,6,5]
[4,3,1,5,2,6]=>[3,4,2,5,1,6]
[4,3,1,5,6,2]=>[3,4,2,5,6,1]
[4,3,1,6,2,5]=>[3,6,2,5,1,4]
[4,3,1,6,5,2]=>[3,4,2,6,5,1]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]
[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]=>[6,3,2,5,1,4]
[4,3,2,6,5,1]=>[4,3,2,6,5,1]
[4,3,5,1,2,6]=>[5,3,4,2,1,6]
[4,3,5,1,6,2]=>[5,3,4,2,6,1]
[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]=>[4,3,6,5,2,1]
[4,3,5,6,2,1]=>[4,3,5,6,2,1]
[4,3,6,1,2,5]=>[5,6,4,2,1,3]
[4,3,6,1,5,2]=>[6,3,4,2,5,1]
[4,3,6,2,1,5]=>[4,6,5,2,1,3]
[4,3,6,2,5,1]=>[6,3,5,2,4,1]
[4,3,6,5,1,2]=>[4,3,5,6,2,1]
[4,3,6,5,2,1]=>[4,3,6,5,2,1]
[4,5,1,2,3,6]=>[4,3,5,2,1,6]
[4,5,1,2,6,3]=>[4,3,5,2,6,1]
[4,5,1,3,2,6]=>[5,3,4,2,1,6]
[4,5,1,3,6,2]=>[5,3,4,2,6,1]
[4,5,1,6,2,3]=>[6,3,4,5,2,1]
[4,5,1,6,3,2]=>[5,3,4,6,2,1]
[4,5,2,1,3,6]=>[3,4,5,2,1,6]
[4,5,2,1,6,3]=>[3,4,5,2,6,1]
[4,5,2,3,1,6]=>[5,4,3,2,1,6]
[4,5,2,3,6,1]=>[5,4,3,2,6,1]
[4,5,2,6,1,3]=>[3,6,4,5,2,1]
[4,5,2,6,3,1]=>[5,4,3,6,2,1]
[4,5,3,1,2,6]=>[5,4,3,2,1,6]
[4,5,3,1,6,2]=>[5,4,3,2,6,1]
[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]=>[4,6,3,5,2,1]
[4,5,3,6,2,1]=>[4,5,3,6,2,1]
[4,5,6,1,2,3]=>[6,5,4,3,2,1]
[4,5,6,1,3,2]=>[5,6,4,3,2,1]
[4,5,6,2,1,3]=>[6,4,5,3,2,1]
[4,5,6,2,3,1]=>[4,6,5,3,2,1]
[4,5,6,3,1,2]=>[4,6,5,3,2,1]
[4,5,6,3,2,1]=>[4,5,6,3,2,1]
[4,6,1,2,3,5]=>[4,3,5,6,1,2]
[4,6,1,2,5,3]=>[4,3,6,2,5,1]
[4,6,1,3,2,5]=>[5,3,4,6,1,2]
[4,6,1,3,5,2]=>[5,3,6,2,4,1]
[4,6,1,5,2,3]=>[5,3,4,6,2,1]
[4,6,1,5,3,2]=>[6,3,4,5,2,1]
[4,6,2,1,3,5]=>[3,4,5,6,1,2]
[4,6,2,1,5,3]=>[3,4,6,2,5,1]
[4,6,2,3,1,5]=>[5,4,3,6,1,2]
[4,6,2,3,5,1]=>[5,4,6,2,3,1]
[4,6,2,5,1,3]=>[5,6,4,3,2,1]
[4,6,2,5,3,1]=>[6,4,3,5,2,1]
[4,6,3,1,2,5]=>[5,4,3,6,1,2]
[4,6,3,1,5,2]=>[5,4,6,2,3,1]
[4,6,3,2,1,5]=>[4,5,3,6,1,2]
[4,6,3,2,5,1]=>[4,5,6,2,3,1]
[4,6,3,5,1,2]=>[5,6,3,4,2,1]
[4,6,3,5,2,1]=>[6,5,3,4,2,1]
[4,6,5,1,2,3]=>[6,4,5,3,2,1]
[4,6,5,1,3,2]=>[5,4,6,3,2,1]
[4,6,5,2,1,3]=>[6,5,4,3,2,1]
[4,6,5,2,3,1]=>[4,5,6,3,2,1]
[4,6,5,3,1,2]=>[4,5,6,3,2,1]
[4,6,5,3,2,1]=>[4,6,5,3,2,1]
[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[5,1,2,3,6,4]=>[2,3,4,5,6,1]
[5,1,2,4,3,6]=>[2,3,5,4,1,6]
[5,1,2,4,6,3]=>[2,3,5,4,6,1]
[5,1,2,6,3,4]=>[2,3,6,5,4,1]
[5,1,2,6,4,3]=>[2,3,5,6,4,1]
[5,1,3,2,4,6]=>[2,4,3,5,1,6]
[5,1,3,2,6,4]=>[2,4,3,5,6,1]
[5,1,3,4,2,6]=>[2,4,5,3,1,6]
[5,1,3,4,6,2]=>[2,4,5,3,6,1]
[5,1,3,6,2,4]=>[2,6,3,5,4,1]
[5,1,3,6,4,2]=>[2,4,5,6,3,1]
[5,1,4,2,3,6]=>[2,4,5,3,1,6]
[5,1,4,2,6,3]=>[2,4,5,3,6,1]
[5,1,4,3,2,6]=>[2,5,4,3,1,6]
[5,1,4,3,6,2]=>[2,5,4,3,6,1]
[5,1,4,6,2,3]=>[2,6,4,5,3,1]
[5,1,4,6,3,2]=>[2,5,4,6,3,1]
[5,1,6,2,3,4]=>[2,5,4,6,3,1]
[5,1,6,2,4,3]=>[2,6,4,5,3,1]
[5,1,6,3,2,4]=>[2,4,5,6,3,1]
[5,1,6,3,4,2]=>[2,6,5,4,3,1]
[5,1,6,4,2,3]=>[2,6,5,4,3,1]
[5,1,6,4,3,2]=>[2,5,6,4,3,1]
[5,2,1,3,4,6]=>[3,2,4,5,1,6]
[5,2,1,3,6,4]=>[3,2,4,5,6,1]
[5,2,1,4,3,6]=>[3,2,5,4,1,6]
[5,2,1,4,6,3]=>[3,2,5,4,6,1]
[5,2,1,6,3,4]=>[3,2,6,5,4,1]
[5,2,1,6,4,3]=>[3,2,5,6,4,1]
[5,2,3,1,4,6]=>[3,4,2,5,1,6]
[5,2,3,1,6,4]=>[3,4,2,5,6,1]
[5,2,3,4,1,6]=>[3,4,5,2,1,6]
[5,2,3,4,6,1]=>[3,4,5,2,6,1]
[5,2,3,6,1,4]=>[3,6,2,5,4,1]
[5,2,3,6,4,1]=>[3,4,5,6,2,1]
[5,2,4,1,3,6]=>[5,4,2,3,1,6]
[5,2,4,1,6,3]=>[5,4,2,3,6,1]
[5,2,4,3,1,6]=>[3,5,4,2,1,6]
[5,2,4,3,6,1]=>[3,5,4,2,6,1]
[5,2,4,6,1,3]=>[4,6,2,5,3,1]
[5,2,4,6,3,1]=>[3,5,4,6,2,1]
[5,2,6,1,3,4]=>[5,2,4,6,3,1]
[5,2,6,1,4,3]=>[6,2,4,5,3,1]
[5,2,6,3,1,4]=>[6,4,5,2,3,1]
[5,2,6,3,4,1]=>[3,6,5,4,2,1]
[5,2,6,4,1,3]=>[4,6,5,2,3,1]
[5,2,6,4,3,1]=>[3,5,6,4,2,1]
[5,3,1,2,4,6]=>[3,4,2,5,1,6]
[5,3,1,2,6,4]=>[3,4,2,5,6,1]
[5,3,1,4,2,6]=>[3,4,5,2,1,6]
[5,3,1,4,6,2]=>[3,4,5,2,6,1]
[5,3,1,6,2,4]=>[3,6,2,5,4,1]
[5,3,1,6,4,2]=>[3,4,5,6,2,1]
[5,3,2,1,4,6]=>[4,3,2,5,1,6]
[5,3,2,1,6,4]=>[4,3,2,5,6,1]
[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[5,3,2,4,6,1]=>[4,3,5,2,6,1]
[5,3,2,6,1,4]=>[6,3,2,5,4,1]
[5,3,2,6,4,1]=>[4,3,5,6,2,1]
[5,3,4,1,2,6]=>[5,4,3,2,1,6]
[5,3,4,1,6,2]=>[5,4,3,2,6,1]
[5,3,4,2,1,6]=>[4,5,3,2,1,6]
[5,3,4,2,6,1]=>[4,5,3,2,6,1]
[5,3,4,6,1,2]=>[4,6,3,5,2,1]
[5,3,4,6,2,1]=>[4,5,3,6,2,1]
[5,3,6,1,2,4]=>[5,6,4,2,3,1]
[5,3,6,1,4,2]=>[6,3,4,5,2,1]
[5,3,6,2,1,4]=>[4,6,5,2,3,1]
[5,3,6,2,4,1]=>[6,3,5,4,2,1]
[5,3,6,4,1,2]=>[4,6,5,3,2,1]
[5,3,6,4,2,1]=>[4,5,6,3,2,1]
[5,4,1,2,3,6]=>[3,4,5,2,1,6]
[5,4,1,2,6,3]=>[3,4,5,2,6,1]
[5,4,1,3,2,6]=>[3,5,4,2,1,6]
[5,4,1,3,6,2]=>[3,5,4,2,6,1]
[5,4,1,6,2,3]=>[3,6,4,5,2,1]
[5,4,1,6,3,2]=>[3,5,4,6,2,1]
[5,4,2,1,3,6]=>[4,3,5,2,1,6]
[5,4,2,1,6,3]=>[4,3,5,2,6,1]
[5,4,2,3,1,6]=>[4,5,3,2,1,6]
[5,4,2,3,6,1]=>[4,5,3,2,6,1]
[5,4,2,6,1,3]=>[6,3,4,5,2,1]
[5,4,2,6,3,1]=>[4,5,3,6,2,1]
[5,4,3,1,2,6]=>[4,5,3,2,1,6]
[5,4,3,1,6,2]=>[4,5,3,2,6,1]
[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]=>[6,4,3,5,2,1]
[5,4,3,6,2,1]=>[5,4,3,6,2,1]
[5,4,6,1,2,3]=>[5,6,4,3,2,1]
[5,4,6,1,3,2]=>[6,5,4,3,2,1]
[5,4,6,2,1,3]=>[4,6,5,3,2,1]
[5,4,6,2,3,1]=>[6,4,5,3,2,1]
[5,4,6,3,1,2]=>[6,4,5,3,2,1]
[5,4,6,3,2,1]=>[5,4,6,3,2,1]
[5,6,1,2,3,4]=>[4,3,5,6,2,1]
[5,6,1,2,4,3]=>[4,3,6,5,2,1]
[5,6,1,3,2,4]=>[5,3,4,6,2,1]
[5,6,1,3,4,2]=>[5,3,6,4,2,1]
[5,6,1,4,2,3]=>[5,3,6,4,2,1]
[5,6,1,4,3,2]=>[6,3,5,4,2,1]
[5,6,2,1,3,4]=>[3,4,5,6,2,1]
[5,6,2,1,4,3]=>[3,4,6,5,2,1]
[5,6,2,3,1,4]=>[5,4,3,6,2,1]
[5,6,2,3,4,1]=>[5,4,6,3,2,1]
[5,6,2,4,1,3]=>[5,6,3,4,2,1]
[5,6,2,4,3,1]=>[6,4,5,3,2,1]
[5,6,3,1,2,4]=>[5,4,3,6,2,1]
[5,6,3,1,4,2]=>[5,4,6,3,2,1]
[5,6,3,2,1,4]=>[4,5,3,6,2,1]
[5,6,3,2,4,1]=>[4,5,6,3,2,1]
[5,6,3,4,1,2]=>[5,6,4,3,2,1]
[5,6,3,4,2,1]=>[6,5,4,3,2,1]
[5,6,4,1,2,3]=>[5,4,6,3,2,1]
[5,6,4,1,3,2]=>[6,4,5,3,2,1]
[5,6,4,2,1,3]=>[4,5,6,3,2,1]
[5,6,4,2,3,1]=>[6,5,4,3,2,1]
[5,6,4,3,1,2]=>[6,5,4,3,2,1]
[5,6,4,3,2,1]=>[5,6,4,3,2,1]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[6,1,2,3,5,4]=>[2,3,4,6,5,1]
[6,1,2,4,3,5]=>[2,3,5,4,6,1]
[6,1,2,4,5,3]=>[2,3,5,6,4,1]
[6,1,2,5,3,4]=>[2,3,5,6,4,1]
[6,1,2,5,4,3]=>[2,3,6,5,4,1]
[6,1,3,2,4,5]=>[2,4,3,5,6,1]
[6,1,3,2,5,4]=>[2,4,3,6,5,1]
[6,1,3,4,2,5]=>[2,4,5,3,6,1]
[6,1,3,4,5,2]=>[2,4,5,6,3,1]
[6,1,3,5,2,4]=>[2,6,5,3,4,1]
[6,1,3,5,4,2]=>[2,4,6,5,3,1]
[6,1,4,2,3,5]=>[2,4,5,3,6,1]
[6,1,4,2,5,3]=>[2,4,5,6,3,1]
[6,1,4,3,2,5]=>[2,5,4,3,6,1]
[6,1,4,3,5,2]=>[2,5,4,6,3,1]
[6,1,4,5,2,3]=>[2,6,5,4,3,1]
[6,1,4,5,3,2]=>[2,5,6,4,3,1]
[6,1,5,2,3,4]=>[2,4,5,6,3,1]
[6,1,5,2,4,3]=>[2,4,6,5,3,1]
[6,1,5,3,2,4]=>[2,5,4,6,3,1]
[6,1,5,3,4,2]=>[2,5,6,4,3,1]
[6,1,5,4,2,3]=>[2,5,6,4,3,1]
[6,1,5,4,3,2]=>[2,6,5,4,3,1]
[6,2,1,3,4,5]=>[3,2,4,5,6,1]
[6,2,1,3,5,4]=>[3,2,4,6,5,1]
[6,2,1,4,3,5]=>[3,2,5,4,6,1]
[6,2,1,4,5,3]=>[3,2,5,6,4,1]
[6,2,1,5,3,4]=>[3,2,5,6,4,1]
[6,2,1,5,4,3]=>[3,2,6,5,4,1]
[6,2,3,1,4,5]=>[3,4,2,5,6,1]
[6,2,3,1,5,4]=>[3,4,2,6,5,1]
[6,2,3,4,1,5]=>[3,4,5,2,6,1]
[6,2,3,4,5,1]=>[3,4,5,6,2,1]
[6,2,3,5,1,4]=>[3,6,5,2,4,1]
[6,2,3,5,4,1]=>[3,4,6,5,2,1]
[6,2,4,1,3,5]=>[5,4,2,3,6,1]
[6,2,4,1,5,3]=>[5,4,2,6,3,1]
[6,2,4,3,1,5]=>[3,5,4,2,6,1]
[6,2,4,3,5,1]=>[3,5,4,6,2,1]
[6,2,4,5,1,3]=>[4,6,5,2,3,1]
[6,2,4,5,3,1]=>[3,5,6,4,2,1]
[6,2,5,1,3,4]=>[5,4,2,6,3,1]
[6,2,5,1,4,3]=>[6,4,2,5,3,1]
[6,2,5,3,1,4]=>[6,5,4,2,3,1]
[6,2,5,3,4,1]=>[3,5,6,4,2,1]
[6,2,5,4,1,3]=>[4,5,6,2,3,1]
[6,2,5,4,3,1]=>[3,6,5,4,2,1]
[6,3,1,2,4,5]=>[3,4,2,5,6,1]
[6,3,1,2,5,4]=>[3,4,2,6,5,1]
[6,3,1,4,2,5]=>[3,4,5,2,6,1]
[6,3,1,4,5,2]=>[3,4,5,6,2,1]
[6,3,1,5,2,4]=>[3,6,5,2,4,1]
[6,3,1,5,4,2]=>[3,4,6,5,2,1]
[6,3,2,1,4,5]=>[4,3,2,5,6,1]
[6,3,2,1,5,4]=>[4,3,2,6,5,1]
[6,3,2,4,1,5]=>[4,3,5,2,6,1]
[6,3,2,4,5,1]=>[4,3,5,6,2,1]
[6,3,2,5,1,4]=>[6,3,5,2,4,1]
[6,3,2,5,4,1]=>[4,3,6,5,2,1]
[6,3,4,1,2,5]=>[5,4,3,2,6,1]
[6,3,4,1,5,2]=>[5,4,3,6,2,1]
[6,3,4,2,1,5]=>[4,5,3,2,6,1]
[6,3,4,2,5,1]=>[4,5,3,6,2,1]
[6,3,4,5,1,2]=>[4,6,5,3,2,1]
[6,3,4,5,2,1]=>[4,5,6,3,2,1]
[6,3,5,1,2,4]=>[5,4,6,2,3,1]
[6,3,5,1,4,2]=>[6,4,3,5,2,1]
[6,3,5,2,1,4]=>[4,5,6,2,3,1]
[6,3,5,2,4,1]=>[6,5,3,4,2,1]
[6,3,5,4,1,2]=>[4,5,6,3,2,1]
[6,3,5,4,2,1]=>[4,6,5,3,2,1]
[6,4,1,2,3,5]=>[3,4,5,2,6,1]
[6,4,1,2,5,3]=>[3,4,5,6,2,1]
[6,4,1,3,2,5]=>[3,5,4,2,6,1]
[6,4,1,3,5,2]=>[3,5,4,6,2,1]
[6,4,1,5,2,3]=>[3,6,5,4,2,1]
[6,4,1,5,3,2]=>[3,5,6,4,2,1]
[6,4,2,1,3,5]=>[4,3,5,2,6,1]
[6,4,2,1,5,3]=>[4,3,5,6,2,1]
[6,4,2,3,1,5]=>[4,5,3,2,6,1]
[6,4,2,3,5,1]=>[4,5,3,6,2,1]
[6,4,2,5,1,3]=>[6,3,5,4,2,1]
[6,4,2,5,3,1]=>[4,5,6,3,2,1]
[6,4,3,1,2,5]=>[4,5,3,2,6,1]
[6,4,3,1,5,2]=>[4,5,3,6,2,1]
[6,4,3,2,1,5]=>[5,4,3,2,6,1]
[6,4,3,2,5,1]=>[5,4,3,6,2,1]
[6,4,3,5,1,2]=>[6,4,5,3,2,1]
[6,4,3,5,2,1]=>[5,4,6,3,2,1]
[6,4,5,1,2,3]=>[5,4,6,3,2,1]
[6,4,5,1,3,2]=>[6,4,5,3,2,1]
[6,4,5,2,1,3]=>[4,5,6,3,2,1]
[6,4,5,2,3,1]=>[6,5,4,3,2,1]
[6,4,5,3,1,2]=>[6,5,4,3,2,1]
[6,4,5,3,2,1]=>[5,6,4,3,2,1]
[6,5,1,2,3,4]=>[3,4,5,6,2,1]
[6,5,1,2,4,3]=>[3,4,6,5,2,1]
[6,5,1,3,2,4]=>[3,5,4,6,2,1]
[6,5,1,3,4,2]=>[3,5,6,4,2,1]
[6,5,1,4,2,3]=>[3,5,6,4,2,1]
[6,5,1,4,3,2]=>[3,6,5,4,2,1]
[6,5,2,1,3,4]=>[4,3,5,6,2,1]
[6,5,2,1,4,3]=>[4,3,6,5,2,1]
[6,5,2,3,1,4]=>[4,5,3,6,2,1]
[6,5,2,3,4,1]=>[4,5,6,3,2,1]
[6,5,2,4,1,3]=>[6,5,3,4,2,1]
[6,5,2,4,3,1]=>[4,6,5,3,2,1]
[6,5,3,1,2,4]=>[4,5,3,6,2,1]
[6,5,3,1,4,2]=>[4,5,6,3,2,1]
[6,5,3,2,1,4]=>[5,4,3,6,2,1]
[6,5,3,2,4,1]=>[5,4,6,3,2,1]
[6,5,3,4,1,2]=>[6,5,4,3,2,1]
[6,5,3,4,2,1]=>[5,6,4,3,2,1]
[6,5,4,1,2,3]=>[4,5,6,3,2,1]
[6,5,4,1,3,2]=>[4,6,5,3,2,1]
[6,5,4,2,1,3]=>[5,4,6,3,2,1]
[6,5,4,2,3,1]=>[5,6,4,3,2,1]
[6,5,4,3,1,2]=>[5,6,4,3,2,1]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]
[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]
[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]
[1,2,3,5,7,4,6]=>[1,2,3,7,6,4,5]
[1,2,3,5,7,6,4]=>[1,2,3,5,7,6,4]
[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]
[1,2,3,6,4,7,5]=>[1,2,3,5,6,7,4]
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]
[1,2,3,6,5,7,4]=>[1,2,3,6,5,7,4]
[1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]
[1,2,3,6,7,5,4]=>[1,2,3,6,7,5,4]
[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]
[1,2,3,7,4,6,5]=>[1,2,3,5,7,6,4]
[1,2,3,7,5,4,6]=>[1,2,3,6,5,7,4]
[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]
[1,2,3,7,6,4,5]=>[1,2,3,6,7,5,4]
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]
[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]
[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]
[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]
[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]
[1,2,4,5,7,3,6]=>[1,2,4,7,6,3,5]
[1,2,4,5,7,6,3]=>[1,2,4,5,7,6,3]
[1,2,4,6,3,5,7]=>[1,2,6,5,3,4,7]
[1,2,4,6,3,7,5]=>[1,2,6,5,3,7,4]
[1,2,4,6,5,3,7]=>[1,2,4,6,5,3,7]
[1,2,4,6,5,7,3]=>[1,2,4,6,5,7,3]
[1,2,4,6,7,3,5]=>[1,2,5,7,6,3,4]
[1,2,4,6,7,5,3]=>[1,2,4,6,7,5,3]
[1,2,4,7,3,5,6]=>[1,2,6,5,3,7,4]
[1,2,4,7,3,6,5]=>[1,2,7,5,3,6,4]
[1,2,4,7,5,3,6]=>[1,2,7,6,5,3,4]
[1,2,4,7,5,6,3]=>[1,2,4,6,7,5,3]
[1,2,4,7,6,3,5]=>[1,2,5,6,7,3,4]
[1,2,4,7,6,5,3]=>[1,2,4,7,6,5,3]
[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]
[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]
[1,2,5,3,6,4,7]=>[1,2,4,5,6,3,7]
[1,2,5,3,6,7,4]=>[1,2,4,5,6,7,3]
[1,2,5,3,7,4,6]=>[1,2,4,7,6,3,5]
[1,2,5,3,7,6,4]=>[1,2,4,5,7,6,3]
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]
[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]
[1,2,5,4,6,3,7]=>[1,2,5,4,6,3,7]
[1,2,5,4,6,7,3]=>[1,2,5,4,6,7,3]
[1,2,5,4,7,3,6]=>[1,2,7,4,6,3,5]
[1,2,5,4,7,6,3]=>[1,2,5,4,7,6,3]
[1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]
[1,2,5,6,3,7,4]=>[1,2,6,5,4,7,3]
[1,2,5,6,4,3,7]=>[1,2,5,6,4,3,7]
[1,2,5,6,4,7,3]=>[1,2,5,6,4,7,3]
[1,2,5,6,7,3,4]=>[1,2,5,7,6,4,3]
[1,2,5,6,7,4,3]=>[1,2,5,6,7,4,3]
[1,2,5,7,3,4,6]=>[1,2,6,5,7,3,4]
[1,2,5,7,3,6,4]=>[1,2,7,5,4,6,3]
[1,2,5,7,4,3,6]=>[1,2,5,6,7,3,4]
[1,2,5,7,4,6,3]=>[1,2,7,6,4,5,3]
[1,2,5,7,6,3,4]=>[1,2,5,6,7,4,3]
[1,2,5,7,6,4,3]=>[1,2,5,7,6,4,3]
[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]
[1,2,6,3,4,7,5]=>[1,2,4,5,6,7,3]
[1,2,6,3,5,4,7]=>[1,2,4,6,5,3,7]
[1,2,6,3,5,7,4]=>[1,2,4,6,5,7,3]
[1,2,6,3,7,4,5]=>[1,2,4,7,6,5,3]
[1,2,6,3,7,5,4]=>[1,2,4,6,7,5,3]
[1,2,6,4,3,5,7]=>[1,2,5,4,6,3,7]
[1,2,6,4,3,7,5]=>[1,2,5,4,6,7,3]
[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]
[1,2,6,4,5,7,3]=>[1,2,5,6,4,7,3]
[1,2,6,4,7,3,5]=>[1,2,7,4,6,5,3]
[1,2,6,4,7,5,3]=>[1,2,5,6,7,4,3]
[1,2,6,5,3,4,7]=>[1,2,5,6,4,3,7]
[1,2,6,5,3,7,4]=>[1,2,5,6,4,7,3]
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]
[1,2,6,5,4,7,3]=>[1,2,6,5,4,7,3]
[1,2,6,5,7,3,4]=>[1,2,7,5,6,4,3]
[1,2,6,5,7,4,3]=>[1,2,6,5,7,4,3]
[1,2,6,7,3,4,5]=>[1,2,6,5,7,4,3]
[1,2,6,7,3,5,4]=>[1,2,7,5,6,4,3]
[1,2,6,7,4,3,5]=>[1,2,5,6,7,4,3]
[1,2,6,7,4,5,3]=>[1,2,7,6,5,4,3]
[1,2,6,7,5,3,4]=>[1,2,7,6,5,4,3]
[1,2,6,7,5,4,3]=>[1,2,6,7,5,4,3]
[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]
[1,2,7,3,4,6,5]=>[1,2,4,5,7,6,3]
[1,2,7,3,5,4,6]=>[1,2,4,6,5,7,3]
[1,2,7,3,5,6,4]=>[1,2,4,6,7,5,3]
[1,2,7,3,6,4,5]=>[1,2,4,6,7,5,3]
[1,2,7,3,6,5,4]=>[1,2,4,7,6,5,3]
[1,2,7,4,3,5,6]=>[1,2,5,4,6,7,3]
[1,2,7,4,3,6,5]=>[1,2,5,4,7,6,3]
[1,2,7,4,5,3,6]=>[1,2,5,6,4,7,3]
[1,2,7,4,5,6,3]=>[1,2,5,6,7,4,3]
[1,2,7,4,6,3,5]=>[1,2,7,6,4,5,3]
[1,2,7,4,6,5,3]=>[1,2,5,7,6,4,3]
[1,2,7,5,3,4,6]=>[1,2,5,6,4,7,3]
[1,2,7,5,3,6,4]=>[1,2,5,6,7,4,3]
[1,2,7,5,4,3,6]=>[1,2,6,5,4,7,3]
[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]
[1,2,7,5,6,3,4]=>[1,2,7,6,5,4,3]
[1,2,7,5,6,4,3]=>[1,2,6,7,5,4,3]
[1,2,7,6,3,4,5]=>[1,2,5,6,7,4,3]
[1,2,7,6,3,5,4]=>[1,2,5,7,6,4,3]
[1,2,7,6,4,3,5]=>[1,2,6,5,7,4,3]
[1,2,7,6,4,5,3]=>[1,2,6,7,5,4,3]
[1,2,7,6,5,3,4]=>[1,2,6,7,5,4,3]
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]
[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]
[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]
[1,3,2,5,7,4,6]=>[1,3,2,7,6,4,5]
[1,3,2,5,7,6,4]=>[1,3,2,5,7,6,4]
[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]
[1,3,2,6,4,7,5]=>[1,3,2,5,6,7,4]
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]
[1,3,2,6,5,7,4]=>[1,3,2,6,5,7,4]
[1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]
[1,3,2,6,7,5,4]=>[1,3,2,6,7,5,4]
[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]
[1,3,2,7,4,6,5]=>[1,3,2,5,7,6,4]
[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]
[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]
[1,3,2,7,6,4,5]=>[1,3,2,6,7,5,4]
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]
[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]
[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]
[1,3,4,2,7,5,6]=>[1,3,4,2,6,7,5]
[1,3,4,2,7,6,5]=>[1,3,4,2,7,6,5]
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]
[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]
[1,3,4,5,7,2,6]=>[1,3,4,7,6,2,5]
[1,3,4,5,7,6,2]=>[1,3,4,5,7,6,2]
[1,3,4,6,2,5,7]=>[1,3,6,5,2,4,7]
[1,3,4,6,2,7,5]=>[1,3,6,5,2,7,4]
[1,3,4,6,5,2,7]=>[1,3,4,6,5,2,7]
[1,3,4,6,5,7,2]=>[1,3,4,6,5,7,2]
[1,3,4,6,7,2,5]=>[1,3,5,7,6,2,4]
[1,3,4,6,7,5,2]=>[1,3,4,6,7,5,2]
[1,3,4,7,2,5,6]=>[1,3,6,5,2,7,4]
[1,3,4,7,2,6,5]=>[1,3,7,5,2,6,4]
[1,3,4,7,5,2,6]=>[1,3,7,6,5,2,4]
[1,3,4,7,5,6,2]=>[1,3,4,6,7,5,2]
[1,3,4,7,6,2,5]=>[1,3,5,6,7,2,4]
[1,3,4,7,6,5,2]=>[1,3,4,7,6,5,2]
[1,3,5,2,4,6,7]=>[1,5,4,2,3,6,7]
[1,3,5,2,4,7,6]=>[1,5,4,2,3,7,6]
[1,3,5,2,6,4,7]=>[1,5,4,2,6,3,7]
[1,3,5,2,6,7,4]=>[1,5,4,2,6,7,3]
[1,3,5,2,7,4,6]=>[1,7,4,2,6,3,5]
[1,3,5,2,7,6,4]=>[1,5,4,2,7,6,3]
[1,3,5,4,2,6,7]=>[1,3,5,4,2,6,7]
[1,3,5,4,2,7,6]=>[1,3,5,4,2,7,6]
[1,3,5,4,6,2,7]=>[1,3,5,4,6,2,7]
[1,3,5,4,6,7,2]=>[1,3,5,4,6,7,2]
[1,3,5,4,7,2,6]=>[1,3,7,4,6,2,5]
[1,3,5,4,7,6,2]=>[1,3,5,4,7,6,2]
[1,3,5,6,2,4,7]=>[1,4,6,5,2,3,7]
[1,3,5,6,2,7,4]=>[1,4,6,5,2,7,3]
[1,3,5,6,4,2,7]=>[1,3,5,6,4,2,7]
[1,3,5,6,4,7,2]=>[1,3,5,6,4,7,2]
[1,3,5,6,7,2,4]=>[1,4,5,7,6,2,3]
[1,3,5,6,7,4,2]=>[1,3,5,6,7,4,2]
[1,3,5,7,2,4,6]=>[1,7,6,5,2,3,4]
[1,3,5,7,2,6,4]=>[1,4,7,5,2,6,3]
[1,3,5,7,4,2,6]=>[1,3,5,6,7,2,4]
[1,3,5,7,4,6,2]=>[1,3,7,6,4,5,2]
[1,3,5,7,6,2,4]=>[1,4,5,6,7,2,3]
[1,3,5,7,6,4,2]=>[1,3,5,7,6,4,2]
[1,3,6,2,4,5,7]=>[1,5,4,2,6,3,7]
[1,3,6,2,4,7,5]=>[1,5,4,2,6,7,3]
[1,3,6,2,5,4,7]=>[1,6,4,2,5,3,7]
[1,3,6,2,5,7,4]=>[1,6,4,2,5,7,3]
[1,3,6,2,7,4,5]=>[1,7,4,2,6,5,3]
[1,3,6,2,7,5,4]=>[1,6,4,2,7,5,3]
[1,3,6,4,2,5,7]=>[1,6,5,4,2,3,7]
[1,3,6,4,2,7,5]=>[1,6,5,4,2,7,3]
[1,3,6,4,5,2,7]=>[1,3,5,6,4,2,7]
[1,3,6,4,5,7,2]=>[1,3,5,6,4,7,2]
[1,3,6,4,7,2,5]=>[1,5,7,4,6,2,3]
[1,3,6,4,7,5,2]=>[1,3,5,6,7,4,2]
[1,3,6,5,2,4,7]=>[1,4,5,6,2,3,7]
[1,3,6,5,2,7,4]=>[1,4,5,6,2,7,3]
[1,3,6,5,4,2,7]=>[1,3,6,5,4,2,7]
[1,3,6,5,4,7,2]=>[1,3,6,5,4,7,2]
[1,3,6,5,7,2,4]=>[1,4,7,5,6,2,3]
[1,3,6,5,7,4,2]=>[1,3,6,5,7,4,2]
[1,3,6,7,2,4,5]=>[1,7,6,5,2,4,3]
[1,3,6,7,2,5,4]=>[1,6,7,5,2,4,3]
[1,3,6,7,4,2,5]=>[1,4,5,6,7,2,3]
[1,3,6,7,4,5,2]=>[1,3,7,6,5,4,2]
[1,3,6,7,5,2,4]=>[1,4,7,6,5,2,3]
[1,3,6,7,5,4,2]=>[1,3,6,7,5,4,2]
[1,3,7,2,4,5,6]=>[1,5,4,2,6,7,3]
[1,3,7,2,4,6,5]=>[1,5,4,2,7,6,3]
[1,3,7,2,5,4,6]=>[1,6,4,2,5,7,3]
[1,3,7,2,5,6,4]=>[1,6,4,2,7,5,3]
[1,3,7,2,6,4,5]=>[1,6,4,2,7,5,3]
[1,3,7,2,6,5,4]=>[1,7,4,2,6,5,3]
[1,3,7,4,2,5,6]=>[1,6,5,4,2,7,3]
[1,3,7,4,2,6,5]=>[1,7,5,4,2,6,3]
[1,3,7,4,5,2,6]=>[1,7,5,6,4,2,3]
[1,3,7,4,5,6,2]=>[1,3,5,6,7,4,2]
[1,3,7,4,6,2,5]=>[1,5,7,6,4,2,3]
[1,3,7,4,6,5,2]=>[1,3,5,7,6,4,2]
[1,3,7,5,2,4,6]=>[1,4,5,6,2,7,3]
[1,3,7,5,2,6,4]=>[1,7,5,6,2,4,3]
[1,3,7,5,4,2,6]=>[1,7,6,5,4,2,3]
[1,3,7,5,4,6,2]=>[1,3,6,5,7,4,2]
[1,3,7,5,6,2,4]=>[1,4,7,6,5,2,3]
[1,3,7,5,6,4,2]=>[1,3,6,7,5,4,2]
[1,3,7,6,2,4,5]=>[1,7,5,6,2,4,3]
[1,3,7,6,2,5,4]=>[1,6,5,7,2,4,3]
[1,3,7,6,4,2,5]=>[1,4,6,5,7,2,3]
[1,3,7,6,4,5,2]=>[1,3,6,7,5,4,2]
[1,3,7,6,5,2,4]=>[1,4,6,7,5,2,3]
[1,3,7,6,5,4,2]=>[1,3,7,6,5,4,2]
[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]
[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]
[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]
[1,4,2,3,6,7,5]=>[1,3,4,2,6,7,5]
[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]
[1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5]
[1,4,2,5,3,6,7]=>[1,3,4,5,2,6,7]
[1,4,2,5,3,7,6]=>[1,3,4,5,2,7,6]
[1,4,2,5,6,3,7]=>[1,3,4,5,6,2,7]
[1,4,2,5,6,7,3]=>[1,3,4,5,6,7,2]
[1,4,2,5,7,3,6]=>[1,3,4,7,6,2,5]
[1,4,2,5,7,6,3]=>[1,3,4,5,7,6,2]
[1,4,2,6,3,5,7]=>[1,3,6,5,2,4,7]
[1,4,2,6,3,7,5]=>[1,3,6,5,2,7,4]
[1,4,2,6,5,3,7]=>[1,3,4,6,5,2,7]
[1,4,2,6,5,7,3]=>[1,3,4,6,5,7,2]
[1,4,2,6,7,3,5]=>[1,3,5,7,6,2,4]
[1,4,2,6,7,5,3]=>[1,3,4,6,7,5,2]
[1,4,2,7,3,5,6]=>[1,3,6,5,2,7,4]
[1,4,2,7,3,6,5]=>[1,3,7,5,2,6,4]
[1,4,2,7,5,3,6]=>[1,3,7,6,5,2,4]
[1,4,2,7,5,6,3]=>[1,3,4,6,7,5,2]
[1,4,2,7,6,3,5]=>[1,3,5,6,7,2,4]
[1,4,2,7,6,5,3]=>[1,3,4,7,6,5,2]
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]
[1,4,3,2,6,7,5]=>[1,4,3,2,6,7,5]
[1,4,3,2,7,5,6]=>[1,4,3,2,6,7,5]
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]
[1,4,3,5,2,6,7]=>[1,4,3,5,2,6,7]
[1,4,3,5,2,7,6]=>[1,4,3,5,2,7,6]
[1,4,3,5,6,2,7]=>[1,4,3,5,6,2,7]
[1,4,3,5,6,7,2]=>[1,4,3,5,6,7,2]
[1,4,3,5,7,2,6]=>[1,4,3,7,6,2,5]
[1,4,3,5,7,6,2]=>[1,4,3,5,7,6,2]
[1,4,3,6,2,5,7]=>[1,6,3,5,2,4,7]
[1,4,3,6,2,7,5]=>[1,6,3,5,2,7,4]
[1,4,3,6,5,2,7]=>[1,4,3,6,5,2,7]
[1,4,3,6,5,7,2]=>[1,4,3,6,5,7,2]
[1,4,3,6,7,2,5]=>[1,5,3,7,6,2,4]
[1,4,3,6,7,5,2]=>[1,4,3,6,7,5,2]
[1,4,3,7,2,5,6]=>[1,6,3,5,2,7,4]
[1,4,3,7,2,6,5]=>[1,7,3,5,2,6,4]
[1,4,3,7,5,2,6]=>[1,7,3,6,5,2,4]
[1,4,3,7,5,6,2]=>[1,4,3,6,7,5,2]
[1,4,3,7,6,2,5]=>[1,5,3,6,7,2,4]
[1,4,3,7,6,5,2]=>[1,4,3,7,6,5,2]
[1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]
[1,4,5,2,3,7,6]=>[1,5,4,3,2,7,6]
[1,4,5,2,6,3,7]=>[1,5,4,3,6,2,7]
[1,4,5,2,6,7,3]=>[1,5,4,3,6,7,2]
[1,4,5,2,7,3,6]=>[1,7,4,3,6,2,5]
[1,4,5,2,7,6,3]=>[1,5,4,3,7,6,2]
[1,4,5,3,2,6,7]=>[1,4,5,3,2,6,7]
[1,4,5,3,2,7,6]=>[1,4,5,3,2,7,6]
[1,4,5,3,6,2,7]=>[1,4,5,3,6,2,7]
[1,4,5,3,6,7,2]=>[1,4,5,3,6,7,2]
[1,4,5,3,7,2,6]=>[1,4,7,3,6,2,5]
[1,4,5,3,7,6,2]=>[1,4,5,3,7,6,2]
[1,4,5,6,2,3,7]=>[1,4,6,5,3,2,7]
[1,4,5,6,2,7,3]=>[1,4,6,5,3,7,2]
[1,4,5,6,3,2,7]=>[1,4,5,6,3,2,7]
[1,4,5,6,3,7,2]=>[1,4,5,6,3,7,2]
[1,4,5,6,7,2,3]=>[1,4,5,7,6,3,2]
[1,4,5,6,7,3,2]=>[1,4,5,6,7,3,2]
[1,4,5,7,2,3,6]=>[1,7,6,5,3,2,4]
[1,4,5,7,2,6,3]=>[1,4,7,5,3,6,2]
[1,4,5,7,3,2,6]=>[1,7,5,6,3,2,4]
[1,4,5,7,3,6,2]=>[1,4,7,6,3,5,2]
[1,4,5,7,6,2,3]=>[1,4,5,6,7,3,2]
[1,4,5,7,6,3,2]=>[1,4,5,7,6,3,2]
[1,4,6,2,3,5,7]=>[1,5,4,6,2,3,7]
[1,4,6,2,3,7,5]=>[1,5,4,6,2,7,3]
[1,4,6,2,5,3,7]=>[1,6,4,3,5,2,7]
[1,4,6,2,5,7,3]=>[1,6,4,3,5,7,2]
[1,4,6,2,7,3,5]=>[1,7,4,5,6,2,3]
[1,4,6,2,7,5,3]=>[1,6,4,3,7,5,2]
[1,4,6,3,2,5,7]=>[1,4,5,6,2,3,7]
[1,4,6,3,2,7,5]=>[1,4,5,6,2,7,3]
[1,4,6,3,5,2,7]=>[1,6,5,3,4,2,7]
[1,4,6,3,5,7,2]=>[1,6,5,3,4,7,2]
[1,4,6,3,7,2,5]=>[1,4,7,5,6,2,3]
[1,4,6,3,7,5,2]=>[1,6,5,3,7,4,2]
[1,4,6,5,2,3,7]=>[1,4,5,6,3,2,7]
[1,4,6,5,2,7,3]=>[1,4,5,6,3,7,2]
[1,4,6,5,3,2,7]=>[1,4,6,5,3,2,7]
[1,4,6,5,3,7,2]=>[1,4,6,5,3,7,2]
[1,4,6,5,7,2,3]=>[1,4,7,5,6,3,2]
[1,4,6,5,7,3,2]=>[1,4,6,5,7,3,2]
[1,4,6,7,2,3,5]=>[1,7,6,5,4,2,3]
[1,4,6,7,2,5,3]=>[1,6,7,5,3,4,2]
[1,4,6,7,3,2,5]=>[1,7,5,6,4,2,3]
[1,4,6,7,3,5,2]=>[1,5,7,6,3,4,2]
[1,4,6,7,5,2,3]=>[1,4,7,6,5,3,2]
[1,4,6,7,5,3,2]=>[1,4,6,7,5,3,2]
[1,4,7,2,3,5,6]=>[1,5,4,6,2,7,3]
[1,4,7,2,3,6,5]=>[1,5,4,7,2,6,3]
[1,4,7,2,5,3,6]=>[1,6,4,7,5,2,3]
[1,4,7,2,5,6,3]=>[1,6,4,3,7,5,2]
[1,4,7,2,6,3,5]=>[1,6,4,5,7,2,3]
[1,4,7,2,6,5,3]=>[1,7,4,3,6,5,2]
[1,4,7,3,2,5,6]=>[1,4,5,6,2,7,3]
[1,4,7,3,2,6,5]=>[1,4,5,7,2,6,3]
[1,4,7,3,5,2,6]=>[1,6,5,7,4,2,3]
[1,4,7,3,5,6,2]=>[1,6,5,3,7,4,2]
[1,4,7,3,6,2,5]=>[1,6,7,5,4,2,3]
[1,4,7,3,6,5,2]=>[1,7,5,3,6,4,2]
[1,4,7,5,2,3,6]=>[1,4,5,6,7,2,3]
[1,4,7,5,2,6,3]=>[1,7,5,6,3,4,2]
[1,4,7,5,3,2,6]=>[1,4,6,5,7,2,3]
[1,4,7,5,3,6,2]=>[1,7,6,5,3,4,2]
[1,4,7,5,6,2,3]=>[1,4,7,6,5,3,2]
[1,4,7,5,6,3,2]=>[1,4,6,7,5,3,2]
[1,4,7,6,2,3,5]=>[1,7,5,6,4,2,3]
[1,4,7,6,2,5,3]=>[1,6,5,7,3,4,2]
[1,4,7,6,3,2,5]=>[1,7,6,5,4,2,3]
[1,4,7,6,3,5,2]=>[1,5,6,7,3,4,2]
[1,4,7,6,5,2,3]=>[1,4,6,7,5,3,2]
[1,4,7,6,5,3,2]=>[1,4,7,6,5,3,2]
[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]
[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]
[1,5,2,3,6,4,7]=>[1,3,4,5,6,2,7]
[1,5,2,3,6,7,4]=>[1,3,4,5,6,7,2]
[1,5,2,3,7,4,6]=>[1,3,4,7,6,2,5]
[1,5,2,3,7,6,4]=>[1,3,4,5,7,6,2]
[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7]
[1,5,2,4,3,7,6]=>[1,3,5,4,2,7,6]
[1,5,2,4,6,3,7]=>[1,3,5,4,6,2,7]
[1,5,2,4,6,7,3]=>[1,3,5,4,6,7,2]
[1,5,2,4,7,3,6]=>[1,3,7,4,6,2,5]
[1,5,2,4,7,6,3]=>[1,3,5,4,7,6,2]
[1,5,2,6,3,4,7]=>[1,3,6,5,4,2,7]
[1,5,2,6,3,7,4]=>[1,3,6,5,4,7,2]
[1,5,2,6,4,3,7]=>[1,3,5,6,4,2,7]
[1,5,2,6,4,7,3]=>[1,3,5,6,4,7,2]
[1,5,2,6,7,3,4]=>[1,3,5,7,6,4,2]
[1,5,2,6,7,4,3]=>[1,3,5,6,7,4,2]
[1,5,2,7,3,4,6]=>[1,3,6,5,7,2,4]
[1,5,2,7,3,6,4]=>[1,3,7,5,4,6,2]
[1,5,2,7,4,3,6]=>[1,3,5,6,7,2,4]
[1,5,2,7,4,6,3]=>[1,3,7,6,4,5,2]
[1,5,2,7,6,3,4]=>[1,3,5,6,7,4,2]
[1,5,2,7,6,4,3]=>[1,3,5,7,6,4,2]
[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7]
[1,5,3,2,4,7,6]=>[1,4,3,5,2,7,6]
[1,5,3,2,6,4,7]=>[1,4,3,5,6,2,7]
[1,5,3,2,6,7,4]=>[1,4,3,5,6,7,2]
[1,5,3,2,7,4,6]=>[1,4,3,7,6,2,5]
[1,5,3,2,7,6,4]=>[1,4,3,5,7,6,2]
[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]
[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]
[1,5,3,4,6,2,7]=>[1,4,5,3,6,2,7]
[1,5,3,4,6,7,2]=>[1,4,5,3,6,7,2]
[1,5,3,4,7,2,6]=>[1,4,7,3,6,2,5]
[1,5,3,4,7,6,2]=>[1,4,5,3,7,6,2]
[1,5,3,6,2,4,7]=>[1,6,3,5,4,2,7]
[1,5,3,6,2,7,4]=>[1,6,3,5,4,7,2]
[1,5,3,6,4,2,7]=>[1,4,5,6,3,2,7]
[1,5,3,6,4,7,2]=>[1,4,5,6,3,7,2]
[1,5,3,6,7,2,4]=>[1,5,3,7,6,4,2]
[1,5,3,6,7,4,2]=>[1,4,5,6,7,3,2]
[1,5,3,7,2,4,6]=>[1,6,3,5,7,2,4]
[1,5,3,7,2,6,4]=>[1,7,3,5,4,6,2]
[1,5,3,7,4,2,6]=>[1,7,5,6,3,2,4]
[1,5,3,7,4,6,2]=>[1,4,7,6,3,5,2]
[1,5,3,7,6,2,4]=>[1,5,3,6,7,4,2]
[1,5,3,7,6,4,2]=>[1,4,5,7,6,3,2]
[1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7]
[1,5,4,2,3,7,6]=>[1,4,5,3,2,7,6]
[1,5,4,2,6,3,7]=>[1,4,5,3,6,2,7]
[1,5,4,2,6,7,3]=>[1,4,5,3,6,7,2]
[1,5,4,2,7,3,6]=>[1,4,7,3,6,2,5]
[1,5,4,2,7,6,3]=>[1,4,5,3,7,6,2]
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]
[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]
[1,5,4,3,6,2,7]=>[1,5,4,3,6,2,7]
[1,5,4,3,6,7,2]=>[1,5,4,3,6,7,2]
[1,5,4,3,7,2,6]=>[1,7,4,3,6,2,5]
[1,5,4,3,7,6,2]=>[1,5,4,3,7,6,2]
[1,5,4,6,2,3,7]=>[1,6,4,5,3,2,7]
[1,5,4,6,2,7,3]=>[1,6,4,5,3,7,2]
[1,5,4,6,3,2,7]=>[1,5,4,6,3,2,7]
[1,5,4,6,3,7,2]=>[1,5,4,6,3,7,2]
[1,5,4,6,7,2,3]=>[1,5,4,7,6,3,2]
[1,5,4,6,7,3,2]=>[1,5,4,6,7,3,2]
[1,5,4,7,2,3,6]=>[1,6,7,5,3,2,4]
[1,5,4,7,2,6,3]=>[1,7,4,5,3,6,2]
[1,5,4,7,3,2,6]=>[1,5,7,6,3,2,4]
[1,5,4,7,3,6,2]=>[1,7,4,6,3,5,2]
[1,5,4,7,6,2,3]=>[1,5,4,6,7,3,2]
[1,5,4,7,6,3,2]=>[1,5,4,7,6,3,2]
[1,5,6,2,3,4,7]=>[1,5,4,6,3,2,7]
[1,5,6,2,3,7,4]=>[1,5,4,6,3,7,2]
[1,5,6,2,4,3,7]=>[1,6,4,5,3,2,7]
[1,5,6,2,4,7,3]=>[1,6,4,5,3,7,2]
[1,5,6,2,7,3,4]=>[1,7,4,5,6,3,2]
[1,5,6,2,7,4,3]=>[1,6,4,5,7,3,2]
[1,5,6,3,2,4,7]=>[1,4,5,6,3,2,7]
[1,5,6,3,2,7,4]=>[1,4,5,6,3,7,2]
[1,5,6,3,4,2,7]=>[1,6,5,4,3,2,7]
[1,5,6,3,4,7,2]=>[1,6,5,4,3,7,2]
[1,5,6,3,7,2,4]=>[1,4,7,5,6,3,2]
[1,5,6,3,7,4,2]=>[1,6,5,4,7,3,2]
[1,5,6,4,2,3,7]=>[1,6,5,4,3,2,7]
[1,5,6,4,2,7,3]=>[1,6,5,4,3,7,2]
[1,5,6,4,3,2,7]=>[1,5,6,4,3,2,7]
[1,5,6,4,3,7,2]=>[1,5,6,4,3,7,2]
[1,5,6,4,7,2,3]=>[1,5,7,4,6,3,2]
[1,5,6,4,7,3,2]=>[1,5,6,4,7,3,2]
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]
[1,5,6,7,2,4,3]=>[1,6,7,5,4,3,2]
[1,5,6,7,3,2,4]=>[1,7,5,6,4,3,2]
[1,5,6,7,3,4,2]=>[1,5,7,6,4,3,2]
[1,5,6,7,4,2,3]=>[1,5,7,6,4,3,2]
[1,5,6,7,4,3,2]=>[1,5,6,7,4,3,2]
[1,5,7,2,3,4,6]=>[1,5,4,6,7,2,3]
[1,5,7,2,3,6,4]=>[1,5,4,7,3,6,2]
[1,5,7,2,4,3,6]=>[1,6,4,5,7,2,3]
[1,5,7,2,4,6,3]=>[1,6,4,7,3,5,2]
[1,5,7,2,6,3,4]=>[1,6,4,5,7,3,2]
[1,5,7,2,6,4,3]=>[1,7,4,5,6,3,2]
[1,5,7,3,2,4,6]=>[1,4,5,6,7,2,3]
[1,5,7,3,2,6,4]=>[1,4,5,7,3,6,2]
[1,5,7,3,4,2,6]=>[1,6,5,4,7,2,3]
[1,5,7,3,4,6,2]=>[1,6,5,7,3,4,2]
[1,5,7,3,6,2,4]=>[1,6,7,5,4,3,2]
[1,5,7,3,6,4,2]=>[1,7,5,4,6,3,2]
[1,5,7,4,2,3,6]=>[1,6,5,4,7,2,3]
[1,5,7,4,2,6,3]=>[1,6,5,7,3,4,2]
[1,5,7,4,3,2,6]=>[1,5,6,4,7,2,3]
[1,5,7,4,3,6,2]=>[1,5,6,7,3,4,2]
[1,5,7,4,6,2,3]=>[1,6,7,4,5,3,2]
[1,5,7,4,6,3,2]=>[1,7,6,4,5,3,2]
[1,5,7,6,2,3,4]=>[1,7,5,6,4,3,2]
[1,5,7,6,2,4,3]=>[1,6,5,7,4,3,2]
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]
[1,5,7,6,3,4,2]=>[1,5,6,7,4,3,2]
[1,5,7,6,4,2,3]=>[1,5,6,7,4,3,2]
[1,5,7,6,4,3,2]=>[1,5,7,6,4,3,2]
[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]
[1,6,2,3,4,7,5]=>[1,3,4,5,6,7,2]
[1,6,2,3,5,4,7]=>[1,3,4,6,5,2,7]
[1,6,2,3,5,7,4]=>[1,3,4,6,5,7,2]
[1,6,2,3,7,4,5]=>[1,3,4,7,6,5,2]
[1,6,2,3,7,5,4]=>[1,3,4,6,7,5,2]
[1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7]
[1,6,2,4,3,7,5]=>[1,3,5,4,6,7,2]
[1,6,2,4,5,3,7]=>[1,3,5,6,4,2,7]
[1,6,2,4,5,7,3]=>[1,3,5,6,4,7,2]
[1,6,2,4,7,3,5]=>[1,3,7,4,6,5,2]
[1,6,2,4,7,5,3]=>[1,3,5,6,7,4,2]
[1,6,2,5,3,4,7]=>[1,3,5,6,4,2,7]
[1,6,2,5,3,7,4]=>[1,3,5,6,4,7,2]
[1,6,2,5,4,3,7]=>[1,3,6,5,4,2,7]
[1,6,2,5,4,7,3]=>[1,3,6,5,4,7,2]
[1,6,2,5,7,3,4]=>[1,3,7,5,6,4,2]
[1,6,2,5,7,4,3]=>[1,3,6,5,7,4,2]
[1,6,2,7,3,4,5]=>[1,3,6,5,7,4,2]
[1,6,2,7,3,5,4]=>[1,3,7,5,6,4,2]
[1,6,2,7,4,3,5]=>[1,3,5,6,7,4,2]
[1,6,2,7,4,5,3]=>[1,3,7,6,5,4,2]
[1,6,2,7,5,3,4]=>[1,3,7,6,5,4,2]
[1,6,2,7,5,4,3]=>[1,3,6,7,5,4,2]
[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7]
[1,6,3,2,4,7,5]=>[1,4,3,5,6,7,2]
[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]
[1,6,3,2,5,7,4]=>[1,4,3,6,5,7,2]
[1,6,3,2,7,4,5]=>[1,4,3,7,6,5,2]
[1,6,3,2,7,5,4]=>[1,4,3,6,7,5,2]
[1,6,3,4,2,5,7]=>[1,4,5,3,6,2,7]
[1,6,3,4,2,7,5]=>[1,4,5,3,6,7,2]
[1,6,3,4,5,2,7]=>[1,4,5,6,3,2,7]
[1,6,3,4,5,7,2]=>[1,4,5,6,3,7,2]
[1,6,3,4,7,2,5]=>[1,4,7,3,6,5,2]
[1,6,3,4,7,5,2]=>[1,4,5,6,7,3,2]
[1,6,3,5,2,4,7]=>[1,6,5,3,4,2,7]
[1,6,3,5,2,7,4]=>[1,6,5,3,4,7,2]
[1,6,3,5,4,2,7]=>[1,4,6,5,3,2,7]
[1,6,3,5,4,7,2]=>[1,4,6,5,3,7,2]
[1,6,3,5,7,2,4]=>[1,5,7,3,6,4,2]
[1,6,3,5,7,4,2]=>[1,4,6,5,7,3,2]
[1,6,3,7,2,4,5]=>[1,6,3,5,7,4,2]
[1,6,3,7,2,5,4]=>[1,7,3,5,6,4,2]
[1,6,3,7,4,2,5]=>[1,7,5,6,3,4,2]
[1,6,3,7,4,5,2]=>[1,4,7,6,5,3,2]
[1,6,3,7,5,2,4]=>[1,5,7,6,3,4,2]
[1,6,3,7,5,4,2]=>[1,4,6,7,5,3,2]
[1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7]
[1,6,4,2,3,7,5]=>[1,4,5,3,6,7,2]
[1,6,4,2,5,3,7]=>[1,4,5,6,3,2,7]
[1,6,4,2,5,7,3]=>[1,4,5,6,3,7,2]
[1,6,4,2,7,3,5]=>[1,4,7,3,6,5,2]
[1,6,4,2,7,5,3]=>[1,4,5,6,7,3,2]
[1,6,4,3,2,5,7]=>[1,5,4,3,6,2,7]
[1,6,4,3,2,7,5]=>[1,5,4,3,6,7,2]
[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]
[1,6,4,3,5,7,2]=>[1,5,4,6,3,7,2]
[1,6,4,3,7,2,5]=>[1,7,4,3,6,5,2]
[1,6,4,3,7,5,2]=>[1,5,4,6,7,3,2]
[1,6,4,5,2,3,7]=>[1,6,5,4,3,2,7]
[1,6,4,5,2,7,3]=>[1,6,5,4,3,7,2]
[1,6,4,5,3,2,7]=>[1,5,6,4,3,2,7]
[1,6,4,5,3,7,2]=>[1,5,6,4,3,7,2]
[1,6,4,5,7,2,3]=>[1,5,7,4,6,3,2]
[1,6,4,5,7,3,2]=>[1,5,6,4,7,3,2]
[1,6,4,7,2,3,5]=>[1,6,7,5,3,4,2]
[1,6,4,7,2,5,3]=>[1,7,4,5,6,3,2]
[1,6,4,7,3,2,5]=>[1,5,7,6,3,4,2]
[1,6,4,7,3,5,2]=>[1,7,4,6,5,3,2]
[1,6,4,7,5,2,3]=>[1,5,7,6,4,3,2]
[1,6,4,7,5,3,2]=>[1,5,6,7,4,3,2]
[1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7]
[1,6,5,2,3,7,4]=>[1,4,5,6,3,7,2]
[1,6,5,2,4,3,7]=>[1,4,6,5,3,2,7]
[1,6,5,2,4,7,3]=>[1,4,6,5,3,7,2]
[1,6,5,2,7,3,4]=>[1,4,7,5,6,3,2]
[1,6,5,2,7,4,3]=>[1,4,6,5,7,3,2]
[1,6,5,3,2,4,7]=>[1,5,4,6,3,2,7]
[1,6,5,3,2,7,4]=>[1,5,4,6,3,7,2]
[1,6,5,3,4,2,7]=>[1,5,6,4,3,2,7]
[1,6,5,3,4,7,2]=>[1,5,6,4,3,7,2]
[1,6,5,3,7,2,4]=>[1,7,4,5,6,3,2]
[1,6,5,3,7,4,2]=>[1,5,6,4,7,3,2]
[1,6,5,4,2,3,7]=>[1,5,6,4,3,2,7]
[1,6,5,4,2,7,3]=>[1,5,6,4,3,7,2]
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]
[1,6,5,4,3,7,2]=>[1,6,5,4,3,7,2]
[1,6,5,4,7,2,3]=>[1,7,5,4,6,3,2]
[1,6,5,4,7,3,2]=>[1,6,5,4,7,3,2]
[1,6,5,7,2,3,4]=>[1,6,7,5,4,3,2]
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]
[1,6,5,7,3,2,4]=>[1,5,7,6,4,3,2]
[1,6,5,7,3,4,2]=>[1,7,5,6,4,3,2]
[1,6,5,7,4,2,3]=>[1,7,5,6,4,3,2]
[1,6,5,7,4,3,2]=>[1,6,5,7,4,3,2]
[1,6,7,2,3,4,5]=>[1,5,4,6,7,3,2]
[1,6,7,2,3,5,4]=>[1,5,4,7,6,3,2]
[1,6,7,2,4,3,5]=>[1,6,4,5,7,3,2]
[1,6,7,2,4,5,3]=>[1,6,4,7,5,3,2]
[1,6,7,2,5,3,4]=>[1,6,4,7,5,3,2]
[1,6,7,2,5,4,3]=>[1,7,4,6,5,3,2]
[1,6,7,3,2,4,5]=>[1,4,5,6,7,3,2]
[1,6,7,3,2,5,4]=>[1,4,5,7,6,3,2]
[1,6,7,3,4,2,5]=>[1,6,5,4,7,3,2]
[1,6,7,3,4,5,2]=>[1,6,5,7,4,3,2]
[1,6,7,3,5,2,4]=>[1,6,7,4,5,3,2]
[1,6,7,3,5,4,2]=>[1,7,5,6,4,3,2]
[1,6,7,4,2,3,5]=>[1,6,5,4,7,3,2]
[1,6,7,4,2,5,3]=>[1,6,5,7,4,3,2]
[1,6,7,4,3,2,5]=>[1,5,6,4,7,3,2]
[1,6,7,4,3,5,2]=>[1,5,6,7,4,3,2]
[1,6,7,4,5,2,3]=>[1,6,7,5,4,3,2]
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]
[1,6,7,5,2,3,4]=>[1,6,5,7,4,3,2]
[1,6,7,5,2,4,3]=>[1,7,5,6,4,3,2]
[1,6,7,5,3,2,4]=>[1,5,6,7,4,3,2]
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]
[1,6,7,5,4,3,2]=>[1,6,7,5,4,3,2]
[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]
[1,7,2,3,4,6,5]=>[1,3,4,5,7,6,2]
[1,7,2,3,5,4,6]=>[1,3,4,6,5,7,2]
[1,7,2,3,5,6,4]=>[1,3,4,6,7,5,2]
[1,7,2,3,6,4,5]=>[1,3,4,6,7,5,2]
[1,7,2,3,6,5,4]=>[1,3,4,7,6,5,2]
[1,7,2,4,3,5,6]=>[1,3,5,4,6,7,2]
[1,7,2,4,3,6,5]=>[1,3,5,4,7,6,2]
[1,7,2,4,5,3,6]=>[1,3,5,6,4,7,2]
[1,7,2,4,5,6,3]=>[1,3,5,6,7,4,2]
[1,7,2,4,6,3,5]=>[1,3,7,6,4,5,2]
[1,7,2,4,6,5,3]=>[1,3,5,7,6,4,2]
[1,7,2,5,3,4,6]=>[1,3,5,6,4,7,2]
[1,7,2,5,3,6,4]=>[1,3,5,6,7,4,2]
[1,7,2,5,4,3,6]=>[1,3,6,5,4,7,2]
[1,7,2,5,4,6,3]=>[1,3,6,5,7,4,2]
[1,7,2,5,6,3,4]=>[1,3,7,6,5,4,2]
[1,7,2,5,6,4,3]=>[1,3,6,7,5,4,2]
[1,7,2,6,3,4,5]=>[1,3,5,6,7,4,2]
[1,7,2,6,3,5,4]=>[1,3,5,7,6,4,2]
[1,7,2,6,4,3,5]=>[1,3,6,5,7,4,2]
[1,7,2,6,4,5,3]=>[1,3,6,7,5,4,2]
[1,7,2,6,5,3,4]=>[1,3,6,7,5,4,2]
[1,7,2,6,5,4,3]=>[1,3,7,6,5,4,2]
[1,7,3,2,4,5,6]=>[1,4,3,5,6,7,2]
[1,7,3,2,4,6,5]=>[1,4,3,5,7,6,2]
[1,7,3,2,5,4,6]=>[1,4,3,6,5,7,2]
[1,7,3,2,5,6,4]=>[1,4,3,6,7,5,2]
[1,7,3,2,6,4,5]=>[1,4,3,6,7,5,2]
[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]
[1,7,3,4,2,5,6]=>[1,4,5,3,6,7,2]
[1,7,3,4,2,6,5]=>[1,4,5,3,7,6,2]
[1,7,3,4,5,2,6]=>[1,4,5,6,3,7,2]
[1,7,3,4,5,6,2]=>[1,4,5,6,7,3,2]
[1,7,3,4,6,2,5]=>[1,4,7,6,3,5,2]
[1,7,3,4,6,5,2]=>[1,4,5,7,6,3,2]
[1,7,3,5,2,4,6]=>[1,6,5,3,4,7,2]
[1,7,3,5,2,6,4]=>[1,6,5,3,7,4,2]
[1,7,3,5,4,2,6]=>[1,4,6,5,3,7,2]
[1,7,3,5,4,6,2]=>[1,4,6,5,7,3,2]
[1,7,3,5,6,2,4]=>[1,5,7,6,3,4,2]
[1,7,3,5,6,4,2]=>[1,4,6,7,5,3,2]
[1,7,3,6,2,4,5]=>[1,6,5,3,7,4,2]
[1,7,3,6,2,5,4]=>[1,7,5,3,6,4,2]
[1,7,3,6,4,2,5]=>[1,7,6,5,3,4,2]
[1,7,3,6,4,5,2]=>[1,4,6,7,5,3,2]
[1,7,3,6,5,2,4]=>[1,5,6,7,3,4,2]
[1,7,3,6,5,4,2]=>[1,4,7,6,5,3,2]
[1,7,4,2,3,5,6]=>[1,4,5,3,6,7,2]
[1,7,4,2,3,6,5]=>[1,4,5,3,7,6,2]
[1,7,4,2,5,3,6]=>[1,4,5,6,3,7,2]
[1,7,4,2,5,6,3]=>[1,4,5,6,7,3,2]
[1,7,4,2,6,3,5]=>[1,4,7,6,3,5,2]
[1,7,4,2,6,5,3]=>[1,4,5,7,6,3,2]
[1,7,4,3,2,5,6]=>[1,5,4,3,6,7,2]
[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]
[1,7,4,3,5,2,6]=>[1,5,4,6,3,7,2]
[1,7,4,3,5,6,2]=>[1,5,4,6,7,3,2]
[1,7,4,3,6,2,5]=>[1,7,4,6,3,5,2]
[1,7,4,3,6,5,2]=>[1,5,4,7,6,3,2]
[1,7,4,5,2,3,6]=>[1,6,5,4,3,7,2]
[1,7,4,5,2,6,3]=>[1,6,5,4,7,3,2]
[1,7,4,5,3,2,6]=>[1,5,6,4,3,7,2]
[1,7,4,5,3,6,2]=>[1,5,6,4,7,3,2]
[1,7,4,5,6,2,3]=>[1,5,7,6,4,3,2]
[1,7,4,5,6,3,2]=>[1,5,6,7,4,3,2]
[1,7,4,6,2,3,5]=>[1,6,5,7,3,4,2]
[1,7,4,6,2,5,3]=>[1,7,5,4,6,3,2]
[1,7,4,6,3,2,5]=>[1,5,6,7,3,4,2]
[1,7,4,6,3,5,2]=>[1,7,6,4,5,3,2]
[1,7,4,6,5,2,3]=>[1,5,6,7,4,3,2]
[1,7,4,6,5,3,2]=>[1,5,7,6,4,3,2]
[1,7,5,2,3,4,6]=>[1,4,5,6,3,7,2]
[1,7,5,2,3,6,4]=>[1,4,5,6,7,3,2]
[1,7,5,2,4,3,6]=>[1,4,6,5,3,7,2]
[1,7,5,2,4,6,3]=>[1,4,6,5,7,3,2]
[1,7,5,2,6,3,4]=>[1,4,7,6,5,3,2]
[1,7,5,2,6,4,3]=>[1,4,6,7,5,3,2]
[1,7,5,3,2,4,6]=>[1,5,4,6,3,7,2]
[1,7,5,3,2,6,4]=>[1,5,4,6,7,3,2]
[1,7,5,3,4,2,6]=>[1,5,6,4,3,7,2]
[1,7,5,3,4,6,2]=>[1,5,6,4,7,3,2]
[1,7,5,3,6,2,4]=>[1,7,4,6,5,3,2]
[1,7,5,3,6,4,2]=>[1,5,6,7,4,3,2]
[1,7,5,4,2,3,6]=>[1,5,6,4,3,7,2]
[1,7,5,4,2,6,3]=>[1,5,6,4,7,3,2]
[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]
[1,7,5,4,3,6,2]=>[1,6,5,4,7,3,2]
[1,7,5,4,6,2,3]=>[1,7,5,6,4,3,2]
[1,7,5,4,6,3,2]=>[1,6,5,7,4,3,2]
[1,7,5,6,2,3,4]=>[1,6,5,7,4,3,2]
[1,7,5,6,2,4,3]=>[1,7,5,6,4,3,2]
[1,7,5,6,3,2,4]=>[1,5,6,7,4,3,2]
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]
[1,7,5,6,4,3,2]=>[1,6,7,5,4,3,2]
[1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2]
[1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2]
[1,7,6,2,4,3,5]=>[1,4,6,5,7,3,2]
[1,7,6,2,4,5,3]=>[1,4,6,7,5,3,2]
[1,7,6,2,5,3,4]=>[1,4,6,7,5,3,2]
[1,7,6,2,5,4,3]=>[1,4,7,6,5,3,2]
[1,7,6,3,2,4,5]=>[1,5,4,6,7,3,2]
[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]
[1,7,6,3,4,2,5]=>[1,5,6,4,7,3,2]
[1,7,6,3,4,5,2]=>[1,5,6,7,4,3,2]
[1,7,6,3,5,2,4]=>[1,7,6,4,5,3,2]
[1,7,6,3,5,4,2]=>[1,5,7,6,4,3,2]
[1,7,6,4,2,3,5]=>[1,5,6,4,7,3,2]
[1,7,6,4,2,5,3]=>[1,5,6,7,4,3,2]
[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2]
[1,7,6,4,3,5,2]=>[1,6,5,7,4,3,2]
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]
[1,7,6,4,5,3,2]=>[1,6,7,5,4,3,2]
[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2]
[1,7,6,5,2,4,3]=>[1,5,7,6,4,3,2]
[1,7,6,5,3,2,4]=>[1,6,5,7,4,3,2]
[1,7,6,5,3,4,2]=>[1,6,7,5,4,3,2]
[1,7,6,5,4,2,3]=>[1,6,7,5,4,3,2]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]
[2,1,3,4,6,7,5]=>[2,1,3,4,6,7,5]
[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]
[2,1,3,5,6,4,7]=>[2,1,3,5,6,4,7]
[2,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]
[2,1,3,5,7,4,6]=>[2,1,3,7,6,4,5]
[2,1,3,5,7,6,4]=>[2,1,3,5,7,6,4]
[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]
[2,1,3,6,4,7,5]=>[2,1,3,5,6,7,4]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]
[2,1,3,6,5,7,4]=>[2,1,3,6,5,7,4]
[2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]
[2,1,3,6,7,5,4]=>[2,1,3,6,7,5,4]
[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]
[2,1,3,7,4,6,5]=>[2,1,3,5,7,6,4]
[2,1,3,7,5,4,6]=>[2,1,3,6,5,7,4]
[2,1,3,7,5,6,4]=>[2,1,3,6,7,5,4]
[2,1,3,7,6,4,5]=>[2,1,3,6,7,5,4]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]
[2,1,4,3,6,7,5]=>[2,1,4,3,6,7,5]
[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]
[2,1,4,5,3,6,7]=>[2,1,4,5,3,6,7]
[2,1,4,5,3,7,6]=>[2,1,4,5,3,7,6]
[2,1,4,5,6,3,7]=>[2,1,4,5,6,3,7]
[2,1,4,5,6,7,3]=>[2,1,4,5,6,7,3]
[2,1,4,5,7,3,6]=>[2,1,4,7,6,3,5]
[2,1,4,5,7,6,3]=>[2,1,4,5,7,6,3]
[2,1,4,6,3,5,7]=>[2,1,6,5,3,4,7]
[2,1,4,6,3,7,5]=>[2,1,6,5,3,7,4]
[2,1,4,6,5,3,7]=>[2,1,4,6,5,3,7]
[2,1,4,6,5,7,3]=>[2,1,4,6,5,7,3]
[2,1,4,6,7,3,5]=>[2,1,5,7,6,3,4]
[2,1,4,6,7,5,3]=>[2,1,4,6,7,5,3]
[2,1,4,7,3,5,6]=>[2,1,6,5,3,7,4]
[2,1,4,7,3,6,5]=>[2,1,7,5,3,6,4]
[2,1,4,7,5,3,6]=>[2,1,7,6,5,3,4]
[2,1,4,7,5,6,3]=>[2,1,4,6,7,5,3]
[2,1,4,7,6,3,5]=>[2,1,5,6,7,3,4]
[2,1,4,7,6,5,3]=>[2,1,4,7,6,5,3]
[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7]
[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]
[2,1,5,3,6,4,7]=>[2,1,4,5,6,3,7]
[2,1,5,3,6,7,4]=>[2,1,4,5,6,7,3]
[2,1,5,3,7,4,6]=>[2,1,4,7,6,3,5]
[2,1,5,3,7,6,4]=>[2,1,4,5,7,6,3]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]
[2,1,5,4,6,3,7]=>[2,1,5,4,6,3,7]
[2,1,5,4,6,7,3]=>[2,1,5,4,6,7,3]
[2,1,5,4,7,3,6]=>[2,1,7,4,6,3,5]
[2,1,5,4,7,6,3]=>[2,1,5,4,7,6,3]
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]
[2,1,5,6,3,7,4]=>[2,1,6,5,4,7,3]
[2,1,5,6,4,3,7]=>[2,1,5,6,4,3,7]
[2,1,5,6,4,7,3]=>[2,1,5,6,4,7,3]
[2,1,5,6,7,3,4]=>[2,1,5,7,6,4,3]
[2,1,5,6,7,4,3]=>[2,1,5,6,7,4,3]
[2,1,5,7,3,4,6]=>[2,1,6,5,7,3,4]
[2,1,5,7,3,6,4]=>[2,1,7,5,4,6,3]
[2,1,5,7,4,3,6]=>[2,1,5,6,7,3,4]
[2,1,5,7,4,6,3]=>[2,1,7,6,4,5,3]
[2,1,5,7,6,3,4]=>[2,1,5,6,7,4,3]
[2,1,5,7,6,4,3]=>[2,1,5,7,6,4,3]
[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7]
[2,1,6,3,4,7,5]=>[2,1,4,5,6,7,3]
[2,1,6,3,5,4,7]=>[2,1,4,6,5,3,7]
[2,1,6,3,5,7,4]=>[2,1,4,6,5,7,3]
[2,1,6,3,7,4,5]=>[2,1,4,7,6,5,3]
[2,1,6,3,7,5,4]=>[2,1,4,6,7,5,3]
[2,1,6,4,3,5,7]=>[2,1,5,4,6,3,7]
[2,1,6,4,3,7,5]=>[2,1,5,4,6,7,3]
[2,1,6,4,5,3,7]=>[2,1,5,6,4,3,7]
[2,1,6,4,5,7,3]=>[2,1,5,6,4,7,3]
[2,1,6,4,7,3,5]=>[2,1,7,4,6,5,3]
[2,1,6,4,7,5,3]=>[2,1,5,6,7,4,3]
[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7]
[2,1,6,5,3,7,4]=>[2,1,5,6,4,7,3]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]
[2,1,6,5,4,7,3]=>[2,1,6,5,4,7,3]
[2,1,6,5,7,3,4]=>[2,1,7,5,6,4,3]
[2,1,6,5,7,4,3]=>[2,1,6,5,7,4,3]
[2,1,6,7,3,4,5]=>[2,1,6,5,7,4,3]
[2,1,6,7,3,5,4]=>[2,1,7,5,6,4,3]
[2,1,6,7,4,3,5]=>[2,1,5,6,7,4,3]
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]
[2,1,6,7,5,4,3]=>[2,1,6,7,5,4,3]
[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]
[2,1,7,3,4,6,5]=>[2,1,4,5,7,6,3]
[2,1,7,3,5,4,6]=>[2,1,4,6,5,7,3]
[2,1,7,3,5,6,4]=>[2,1,4,6,7,5,3]
[2,1,7,3,6,4,5]=>[2,1,4,6,7,5,3]
[2,1,7,3,6,5,4]=>[2,1,4,7,6,5,3]
[2,1,7,4,3,5,6]=>[2,1,5,4,6,7,3]
[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]
[2,1,7,4,5,3,6]=>[2,1,5,6,4,7,3]
[2,1,7,4,5,6,3]=>[2,1,5,6,7,4,3]
[2,1,7,4,6,3,5]=>[2,1,7,6,4,5,3]
[2,1,7,4,6,5,3]=>[2,1,5,7,6,4,3]
[2,1,7,5,3,4,6]=>[2,1,5,6,4,7,3]
[2,1,7,5,3,6,4]=>[2,1,5,6,7,4,3]
[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]
[2,1,7,5,4,6,3]=>[2,1,6,5,7,4,3]
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]
[2,1,7,5,6,4,3]=>[2,1,6,7,5,4,3]
[2,1,7,6,3,4,5]=>[2,1,5,6,7,4,3]
[2,1,7,6,3,5,4]=>[2,1,5,7,6,4,3]
[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3]
[2,1,7,6,4,5,3]=>[2,1,6,7,5,4,3]
[2,1,7,6,5,3,4]=>[2,1,6,7,5,4,3]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]
[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[2,3,1,4,5,7,6]=>[2,3,1,4,5,7,6]
[2,3,1,4,6,5,7]=>[2,3,1,4,6,5,7]
[2,3,1,4,6,7,5]=>[2,3,1,4,6,7,5]
[2,3,1,4,7,5,6]=>[2,3,1,4,6,7,5]
[2,3,1,4,7,6,5]=>[2,3,1,4,7,6,5]
[2,3,1,5,4,6,7]=>[2,3,1,5,4,6,7]
[2,3,1,5,4,7,6]=>[2,3,1,5,4,7,6]
[2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]
[2,3,1,5,6,7,4]=>[2,3,1,5,6,7,4]
[2,3,1,5,7,4,6]=>[2,3,1,7,6,4,5]
[2,3,1,5,7,6,4]=>[2,3,1,5,7,6,4]
[2,3,1,6,4,5,7]=>[2,3,1,5,6,4,7]
[2,3,1,6,4,7,5]=>[2,3,1,5,6,7,4]
[2,3,1,6,5,4,7]=>[2,3,1,6,5,4,7]
[2,3,1,6,5,7,4]=>[2,3,1,6,5,7,4]
[2,3,1,6,7,4,5]=>[2,3,1,7,6,5,4]
[2,3,1,6,7,5,4]=>[2,3,1,6,7,5,4]
[2,3,1,7,4,5,6]=>[2,3,1,5,6,7,4]
[2,3,1,7,4,6,5]=>[2,3,1,5,7,6,4]
[2,3,1,7,5,4,6]=>[2,3,1,6,5,7,4]
[2,3,1,7,5,6,4]=>[2,3,1,6,7,5,4]
[2,3,1,7,6,4,5]=>[2,3,1,6,7,5,4]
[2,3,1,7,6,5,4]=>[2,3,1,7,6,5,4]
[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]
[2,3,4,1,5,7,6]=>[2,3,4,1,5,7,6]
[2,3,4,1,6,5,7]=>[2,3,4,1,6,5,7]
[2,3,4,1,6,7,5]=>[2,3,4,1,6,7,5]
[2,3,4,1,7,5,6]=>[2,3,4,1,6,7,5]
[2,3,4,1,7,6,5]=>[2,3,4,1,7,6,5]
[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]
[2,3,4,5,1,7,6]=>[2,3,4,5,1,7,6]
[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]=>[2,3,4,7,6,1,5]
[2,3,4,5,7,6,1]=>[2,3,4,5,7,6,1]
[2,3,4,6,1,5,7]=>[2,3,6,5,1,4,7]
[2,3,4,6,1,7,5]=>[2,3,6,5,1,7,4]
[2,3,4,6,5,1,7]=>[2,3,4,6,5,1,7]
[2,3,4,6,5,7,1]=>[2,3,4,6,5,7,1]
[2,3,4,6,7,1,5]=>[2,3,5,7,6,1,4]
[2,3,4,6,7,5,1]=>[2,3,4,6,7,5,1]
[2,3,4,7,1,5,6]=>[2,3,6,5,1,7,4]
[2,3,4,7,1,6,5]=>[2,3,7,5,1,6,4]
[2,3,4,7,5,1,6]=>[2,3,7,6,5,1,4]
[2,3,4,7,5,6,1]=>[2,3,4,6,7,5,1]
[2,3,4,7,6,1,5]=>[2,3,5,6,7,1,4]
[2,3,4,7,6,5,1]=>[2,3,4,7,6,5,1]
[2,3,5,1,4,6,7]=>[2,5,4,1,3,6,7]
[2,3,5,1,4,7,6]=>[2,5,4,1,3,7,6]
[2,3,5,1,6,4,7]=>[2,5,4,1,6,3,7]
[2,3,5,1,6,7,4]=>[2,5,4,1,6,7,3]
[2,3,5,1,7,4,6]=>[2,7,4,1,6,3,5]
[2,3,5,1,7,6,4]=>[2,5,4,1,7,6,3]
[2,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]
[2,3,5,4,1,7,6]=>[2,3,5,4,1,7,6]
[2,3,5,4,6,1,7]=>[2,3,5,4,6,1,7]
[2,3,5,4,6,7,1]=>[2,3,5,4,6,7,1]
[2,3,5,4,7,1,6]=>[2,3,7,4,6,1,5]
[2,3,5,4,7,6,1]=>[2,3,5,4,7,6,1]
[2,3,5,6,1,4,7]=>[2,4,6,5,1,3,7]
[2,3,5,6,1,7,4]=>[2,4,6,5,1,7,3]
[2,3,5,6,4,1,7]=>[2,3,5,6,4,1,7]
[2,3,5,6,4,7,1]=>[2,3,5,6,4,7,1]
[2,3,5,6,7,1,4]=>[2,4,5,7,6,1,3]
[2,3,5,6,7,4,1]=>[2,3,5,6,7,4,1]
[2,3,5,7,1,4,6]=>[2,7,6,5,1,3,4]
[2,3,5,7,1,6,4]=>[2,4,7,5,1,6,3]
[2,3,5,7,4,1,6]=>[2,3,5,6,7,1,4]
[2,3,5,7,4,6,1]=>[2,3,7,6,4,5,1]
[2,3,5,7,6,1,4]=>[2,4,5,6,7,1,3]
[2,3,5,7,6,4,1]=>[2,3,5,7,6,4,1]
[2,3,6,1,4,5,7]=>[2,5,4,1,6,3,7]
[2,3,6,1,4,7,5]=>[2,5,4,1,6,7,3]
[2,3,6,1,5,4,7]=>[2,6,4,1,5,3,7]
[2,3,6,1,5,7,4]=>[2,6,4,1,5,7,3]
[2,3,6,1,7,4,5]=>[2,7,4,1,6,5,3]
[2,3,6,1,7,5,4]=>[2,6,4,1,7,5,3]
[2,3,6,4,1,5,7]=>[2,6,5,4,1,3,7]
[2,3,6,4,1,7,5]=>[2,6,5,4,1,7,3]
[2,3,6,4,5,1,7]=>[2,3,5,6,4,1,7]
[2,3,6,4,5,7,1]=>[2,3,5,6,4,7,1]
[2,3,6,4,7,1,5]=>[2,5,7,4,6,1,3]
[2,3,6,4,7,5,1]=>[2,3,5,6,7,4,1]
[2,3,6,5,1,4,7]=>[2,4,5,6,1,3,7]
[2,3,6,5,1,7,4]=>[2,4,5,6,1,7,3]
[2,3,6,5,4,1,7]=>[2,3,6,5,4,1,7]
[2,3,6,5,4,7,1]=>[2,3,6,5,4,7,1]
[2,3,6,5,7,1,4]=>[2,4,7,5,6,1,3]
[2,3,6,5,7,4,1]=>[2,3,6,5,7,4,1]
[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]
[2,3,6,7,1,5,4]=>[2,6,7,5,1,4,3]
[2,3,6,7,4,1,5]=>[2,4,5,6,7,1,3]
[2,3,6,7,4,5,1]=>[2,3,7,6,5,4,1]
[2,3,6,7,5,1,4]=>[2,4,7,6,5,1,3]
[2,3,6,7,5,4,1]=>[2,3,6,7,5,4,1]
[2,3,7,1,4,5,6]=>[2,5,4,1,6,7,3]
[2,3,7,1,4,6,5]=>[2,5,4,1,7,6,3]
[2,3,7,1,5,4,6]=>[2,6,4,1,5,7,3]
[2,3,7,1,5,6,4]=>[2,6,4,1,7,5,3]
[2,3,7,1,6,4,5]=>[2,6,4,1,7,5,3]
[2,3,7,1,6,5,4]=>[2,7,4,1,6,5,3]
[2,3,7,4,1,5,6]=>[2,6,5,4,1,7,3]
[2,3,7,4,1,6,5]=>[2,7,5,4,1,6,3]
[2,3,7,4,5,1,6]=>[2,7,5,6,4,1,3]
[2,3,7,4,5,6,1]=>[2,3,5,6,7,4,1]
[2,3,7,4,6,1,5]=>[2,5,7,6,4,1,3]
[2,3,7,4,6,5,1]=>[2,3,5,7,6,4,1]
[2,3,7,5,1,4,6]=>[2,4,5,6,1,7,3]
[2,3,7,5,1,6,4]=>[2,7,5,6,1,4,3]
[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]
[2,3,7,5,4,6,1]=>[2,3,6,5,7,4,1]
[2,3,7,5,6,1,4]=>[2,4,7,6,5,1,3]
[2,3,7,5,6,4,1]=>[2,3,6,7,5,4,1]
[2,3,7,6,1,4,5]=>[2,7,5,6,1,4,3]
[2,3,7,6,1,5,4]=>[2,6,5,7,1,4,3]
[2,3,7,6,4,1,5]=>[2,4,6,5,7,1,3]
[2,3,7,6,4,5,1]=>[2,3,6,7,5,4,1]
[2,3,7,6,5,1,4]=>[2,4,6,7,5,1,3]
[2,3,7,6,5,4,1]=>[2,3,7,6,5,4,1]
[2,4,1,3,5,6,7]=>[4,3,1,2,5,6,7]
[2,4,1,3,5,7,6]=>[4,3,1,2,5,7,6]
[2,4,1,3,6,5,7]=>[4,3,1,2,6,5,7]
[2,4,1,3,6,7,5]=>[4,3,1,2,6,7,5]
[2,4,1,3,7,5,6]=>[4,3,1,2,6,7,5]
[2,4,1,3,7,6,5]=>[4,3,1,2,7,6,5]
[2,4,1,5,3,6,7]=>[4,3,1,5,2,6,7]
[2,4,1,5,3,7,6]=>[4,3,1,5,2,7,6]
[2,4,1,5,6,3,7]=>[4,3,1,5,6,2,7]
[2,4,1,5,6,7,3]=>[4,3,1,5,6,7,2]
[2,4,1,5,7,3,6]=>[4,3,1,7,6,2,5]
[2,4,1,5,7,6,3]=>[4,3,1,5,7,6,2]
[2,4,1,6,3,5,7]=>[6,3,1,5,2,4,7]
[2,4,1,6,3,7,5]=>[6,3,1,5,2,7,4]
[2,4,1,6,5,3,7]=>[4,3,1,6,5,2,7]
[2,4,1,6,5,7,3]=>[4,3,1,6,5,7,2]
[2,4,1,6,7,3,5]=>[5,3,1,7,6,2,4]
[2,4,1,6,7,5,3]=>[4,3,1,6,7,5,2]
[2,4,1,7,3,5,6]=>[6,3,1,5,2,7,4]
[2,4,1,7,3,6,5]=>[7,3,1,5,2,6,4]
[2,4,1,7,5,3,6]=>[7,3,1,6,5,2,4]
[2,4,1,7,5,6,3]=>[4,3,1,6,7,5,2]
[2,4,1,7,6,3,5]=>[5,3,1,6,7,2,4]
[2,4,1,7,6,5,3]=>[4,3,1,7,6,5,2]
[2,4,3,1,5,6,7]=>[2,4,3,1,5,6,7]
[2,4,3,1,5,7,6]=>[2,4,3,1,5,7,6]
[2,4,3,1,6,5,7]=>[2,4,3,1,6,5,7]
[2,4,3,1,6,7,5]=>[2,4,3,1,6,7,5]
[2,4,3,1,7,5,6]=>[2,4,3,1,6,7,5]
[2,4,3,1,7,6,5]=>[2,4,3,1,7,6,5]
[2,4,3,5,1,6,7]=>[2,4,3,5,1,6,7]
[2,4,3,5,1,7,6]=>[2,4,3,5,1,7,6]
[2,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]
[2,4,3,5,6,7,1]=>[2,4,3,5,6,7,1]
[2,4,3,5,7,1,6]=>[2,4,3,7,6,1,5]
[2,4,3,5,7,6,1]=>[2,4,3,5,7,6,1]
[2,4,3,6,1,5,7]=>[2,6,3,5,1,4,7]
[2,4,3,6,1,7,5]=>[2,6,3,5,1,7,4]
[2,4,3,6,5,1,7]=>[2,4,3,6,5,1,7]
[2,4,3,6,5,7,1]=>[2,4,3,6,5,7,1]
[2,4,3,6,7,1,5]=>[2,5,3,7,6,1,4]
[2,4,3,6,7,5,1]=>[2,4,3,6,7,5,1]
[2,4,3,7,1,5,6]=>[2,6,3,5,1,7,4]
[2,4,3,7,1,6,5]=>[2,7,3,5,1,6,4]
[2,4,3,7,5,1,6]=>[2,7,3,6,5,1,4]
[2,4,3,7,5,6,1]=>[2,4,3,6,7,5,1]
[2,4,3,7,6,1,5]=>[2,5,3,6,7,1,4]
[2,4,3,7,6,5,1]=>[2,4,3,7,6,5,1]
[2,4,5,1,3,6,7]=>[3,5,4,1,2,6,7]
[2,4,5,1,3,7,6]=>[3,5,4,1,2,7,6]
[2,4,5,1,6,3,7]=>[3,5,4,1,6,2,7]
[2,4,5,1,6,7,3]=>[3,5,4,1,6,7,2]
[2,4,5,1,7,3,6]=>[3,7,4,1,6,2,5]
[2,4,5,1,7,6,3]=>[3,5,4,1,7,6,2]
[2,4,5,3,1,6,7]=>[2,4,5,3,1,6,7]
[2,4,5,3,1,7,6]=>[2,4,5,3,1,7,6]
[2,4,5,3,6,1,7]=>[2,4,5,3,6,1,7]
[2,4,5,3,6,7,1]=>[2,4,5,3,6,7,1]
[2,4,5,3,7,1,6]=>[2,4,7,3,6,1,5]
[2,4,5,3,7,6,1]=>[2,4,5,3,7,6,1]
[2,4,5,6,1,3,7]=>[3,4,6,5,1,2,7]
[2,4,5,6,1,7,3]=>[3,4,6,5,1,7,2]
[2,4,5,6,3,1,7]=>[2,4,5,6,3,1,7]
[2,4,5,6,3,7,1]=>[2,4,5,6,3,7,1]
[2,4,5,6,7,1,3]=>[3,4,5,7,6,1,2]
[2,4,5,6,7,3,1]=>[2,4,5,6,7,3,1]
[2,4,5,7,1,3,6]=>[3,7,6,5,1,2,4]
[2,4,5,7,1,6,3]=>[3,4,7,5,1,6,2]
[2,4,5,7,3,1,6]=>[2,7,5,6,3,1,4]
[2,4,5,7,3,6,1]=>[2,4,7,6,3,5,1]
[2,4,5,7,6,1,3]=>[3,4,5,6,7,1,2]
[2,4,5,7,6,3,1]=>[2,4,5,7,6,3,1]
[2,4,6,1,3,5,7]=>[6,5,4,1,2,3,7]
[2,4,6,1,3,7,5]=>[6,5,4,1,2,7,3]
[2,4,6,1,5,3,7]=>[3,6,4,1,5,2,7]
[2,4,6,1,5,7,3]=>[3,6,4,1,5,7,2]
[2,4,6,1,7,3,5]=>[5,7,4,1,6,2,3]
[2,4,6,1,7,5,3]=>[3,6,4,1,7,5,2]
[2,4,6,3,1,5,7]=>[2,4,5,6,1,3,7]
[2,4,6,3,1,7,5]=>[2,4,5,6,1,7,3]
[2,4,6,3,5,1,7]=>[2,6,5,3,4,1,7]
[2,4,6,3,5,7,1]=>[2,6,5,3,4,7,1]
[2,4,6,3,7,1,5]=>[2,4,7,5,6,1,3]
[2,4,6,3,7,5,1]=>[2,6,5,3,7,4,1]
[2,4,6,5,1,3,7]=>[3,4,5,6,1,2,7]
[2,4,6,5,1,7,3]=>[3,4,5,6,1,7,2]
[2,4,6,5,3,1,7]=>[2,4,6,5,3,1,7]
[2,4,6,5,3,7,1]=>[2,4,6,5,3,7,1]
[2,4,6,5,7,1,3]=>[3,4,7,5,6,1,2]
[2,4,6,5,7,3,1]=>[2,4,6,5,7,3,1]
[2,4,6,7,1,3,5]=>[4,7,6,5,1,2,3]
[2,4,6,7,1,5,3]=>[3,6,7,5,1,4,2]
[2,4,6,7,3,1,5]=>[2,7,5,6,4,1,3]
[2,4,6,7,3,5,1]=>[2,5,7,6,3,4,1]
[2,4,6,7,5,1,3]=>[3,4,7,6,5,1,2]
[2,4,6,7,5,3,1]=>[2,4,6,7,5,3,1]
[2,4,7,1,3,5,6]=>[6,5,4,1,2,7,3]
[2,4,7,1,3,6,5]=>[7,5,4,1,2,6,3]
[2,4,7,1,5,3,6]=>[7,6,4,1,5,2,3]
[2,4,7,1,5,6,3]=>[3,6,4,1,7,5,2]
[2,4,7,1,6,3,5]=>[5,6,4,1,7,2,3]
[2,4,7,1,6,5,3]=>[3,7,4,1,6,5,2]
[2,4,7,3,1,5,6]=>[2,4,5,6,1,7,3]
[2,4,7,3,1,6,5]=>[2,4,5,7,1,6,3]
[2,4,7,3,5,1,6]=>[2,6,5,7,4,1,3]
[2,4,7,3,5,6,1]=>[2,6,5,3,7,4,1]
[2,4,7,3,6,1,5]=>[2,6,7,5,4,1,3]
[2,4,7,3,6,5,1]=>[2,7,5,3,6,4,1]
[2,4,7,5,1,3,6]=>[7,4,5,6,1,2,3]
[2,4,7,5,1,6,3]=>[3,7,5,6,1,4,2]
[2,4,7,5,3,1,6]=>[2,4,6,5,7,1,3]
[2,4,7,5,3,6,1]=>[2,7,6,5,3,4,1]
[2,4,7,5,6,1,3]=>[3,4,7,6,5,1,2]
[2,4,7,5,6,3,1]=>[2,4,6,7,5,3,1]
[2,4,7,6,1,3,5]=>[4,7,5,6,1,2,3]
[2,4,7,6,1,5,3]=>[3,6,5,7,1,4,2]
[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]
[2,4,7,6,3,5,1]=>[2,5,6,7,3,4,1]
[2,4,7,6,5,1,3]=>[3,4,6,7,5,1,2]
[2,4,7,6,5,3,1]=>[2,4,7,6,5,3,1]
[2,5,1,3,4,6,7]=>[4,3,1,5,2,6,7]
[2,5,1,3,4,7,6]=>[4,3,1,5,2,7,6]
[2,5,1,3,6,4,7]=>[4,3,1,5,6,2,7]
[2,5,1,3,6,7,4]=>[4,3,1,5,6,7,2]
[2,5,1,3,7,4,6]=>[4,3,1,7,6,2,5]
[2,5,1,3,7,6,4]=>[4,3,1,5,7,6,2]
[2,5,1,4,3,6,7]=>[5,3,1,4,2,6,7]
[2,5,1,4,3,7,6]=>[5,3,1,4,2,7,6]
[2,5,1,4,6,3,7]=>[5,3,1,4,6,2,7]
[2,5,1,4,6,7,3]=>[5,3,1,4,6,7,2]
[2,5,1,4,7,3,6]=>[7,3,1,4,6,2,5]
[2,5,1,4,7,6,3]=>[5,3,1,4,7,6,2]
[2,5,1,6,3,4,7]=>[6,3,1,5,4,2,7]
[2,5,1,6,3,7,4]=>[6,3,1,5,4,7,2]
[2,5,1,6,4,3,7]=>[5,3,1,6,4,2,7]
[2,5,1,6,4,7,3]=>[5,3,1,6,4,7,2]
[2,5,1,6,7,3,4]=>[5,3,1,7,6,4,2]
[2,5,1,6,7,4,3]=>[5,3,1,6,7,4,2]
[2,5,1,7,3,4,6]=>[6,3,1,5,7,2,4]
[2,5,1,7,3,6,4]=>[7,3,1,5,4,6,2]
[2,5,1,7,4,3,6]=>[5,3,1,6,7,2,4]
[2,5,1,7,4,6,3]=>[7,3,1,6,4,5,2]
[2,5,1,7,6,3,4]=>[5,3,1,6,7,4,2]
[2,5,1,7,6,4,3]=>[5,3,1,7,6,4,2]
[2,5,3,1,4,6,7]=>[5,4,3,1,2,6,7]
[2,5,3,1,4,7,6]=>[5,4,3,1,2,7,6]
[2,5,3,1,6,4,7]=>[5,4,3,1,6,2,7]
[2,5,3,1,6,7,4]=>[5,4,3,1,6,7,2]
[2,5,3,1,7,4,6]=>[7,4,3,1,6,2,5]
[2,5,3,1,7,6,4]=>[5,4,3,1,7,6,2]
[2,5,3,4,1,6,7]=>[2,4,5,3,1,6,7]
[2,5,3,4,1,7,6]=>[2,4,5,3,1,7,6]
[2,5,3,4,6,1,7]=>[2,4,5,3,6,1,7]
[2,5,3,4,6,7,1]=>[2,4,5,3,6,7,1]
[2,5,3,4,7,1,6]=>[2,4,7,3,6,1,5]
[2,5,3,4,7,6,1]=>[2,4,5,3,7,6,1]
[2,5,3,6,1,4,7]=>[4,6,3,5,1,2,7]
[2,5,3,6,1,7,4]=>[4,6,3,5,1,7,2]
[2,5,3,6,4,1,7]=>[2,4,5,6,3,1,7]
[2,5,3,6,4,7,1]=>[2,4,5,6,3,7,1]
[2,5,3,6,7,1,4]=>[4,5,3,7,6,1,2]
[2,5,3,6,7,4,1]=>[2,4,5,6,7,3,1]
[2,5,3,7,1,4,6]=>[7,6,3,5,1,2,4]
[2,5,3,7,1,6,4]=>[4,7,3,5,1,6,2]
[2,5,3,7,4,1,6]=>[2,7,5,6,3,1,4]
[2,5,3,7,4,6,1]=>[2,4,7,6,3,5,1]
[2,5,3,7,6,1,4]=>[4,5,3,6,7,1,2]
[2,5,3,7,6,4,1]=>[2,4,5,7,6,3,1]
[2,5,4,1,3,6,7]=>[3,4,5,1,2,6,7]
[2,5,4,1,3,7,6]=>[3,4,5,1,2,7,6]
[2,5,4,1,6,3,7]=>[3,4,5,1,6,2,7]
[2,5,4,1,6,7,3]=>[3,4,5,1,6,7,2]
[2,5,4,1,7,3,6]=>[3,4,7,1,6,2,5]
[2,5,4,1,7,6,3]=>[3,4,5,1,7,6,2]
[2,5,4,3,1,6,7]=>[2,5,4,3,1,6,7]
[2,5,4,3,1,7,6]=>[2,5,4,3,1,7,6]
[2,5,4,3,6,1,7]=>[2,5,4,3,6,1,7]
[2,5,4,3,6,7,1]=>[2,5,4,3,6,7,1]
[2,5,4,3,7,1,6]=>[2,7,4,3,6,1,5]
[2,5,4,3,7,6,1]=>[2,5,4,3,7,6,1]
[2,5,4,6,1,3,7]=>[3,6,4,5,1,2,7]
[2,5,4,6,1,7,3]=>[3,6,4,5,1,7,2]
[2,5,4,6,3,1,7]=>[2,5,4,6,3,1,7]
[2,5,4,6,3,7,1]=>[2,5,4,6,3,7,1]
[2,5,4,6,7,1,3]=>[3,5,4,7,6,1,2]
[2,5,4,6,7,3,1]=>[2,5,4,6,7,3,1]
[2,5,4,7,1,3,6]=>[3,6,7,5,1,2,4]
[2,5,4,7,1,6,3]=>[3,7,4,5,1,6,2]
[2,5,4,7,3,1,6]=>[2,5,7,6,3,1,4]
[2,5,4,7,3,6,1]=>[2,7,4,6,3,5,1]
[2,5,4,7,6,1,3]=>[3,5,4,6,7,1,2]
[2,5,4,7,6,3,1]=>[2,5,4,7,6,3,1]
[2,5,6,1,3,4,7]=>[6,5,4,1,3,2,7]
[2,5,6,1,3,7,4]=>[6,5,4,1,3,7,2]
[2,5,6,1,4,3,7]=>[5,6,4,1,3,2,7]
[2,5,6,1,4,7,3]=>[5,6,4,1,3,7,2]
[2,5,6,1,7,3,4]=>[5,7,4,1,6,3,2]
[2,5,6,1,7,4,3]=>[5,6,4,1,7,3,2]
[2,5,6,3,1,4,7]=>[3,4,5,6,1,2,7]
[2,5,6,3,1,7,4]=>[3,4,5,6,1,7,2]
[2,5,6,3,4,1,7]=>[2,6,5,4,3,1,7]
[2,5,6,3,4,7,1]=>[2,6,5,4,3,7,1]
[2,5,6,3,7,1,4]=>[3,4,7,5,6,1,2]
[2,5,6,3,7,4,1]=>[2,6,5,4,7,3,1]
[2,5,6,4,1,3,7]=>[3,6,5,4,1,2,7]
[2,5,6,4,1,7,3]=>[3,6,5,4,1,7,2]
[2,5,6,4,3,1,7]=>[2,5,6,4,3,1,7]
[2,5,6,4,3,7,1]=>[2,5,6,4,3,7,1]
[2,5,6,4,7,1,3]=>[3,5,7,4,6,1,2]
[2,5,6,4,7,3,1]=>[2,5,6,4,7,3,1]
[2,5,6,7,1,3,4]=>[4,7,6,5,1,3,2]
[2,5,6,7,1,4,3]=>[4,6,7,5,1,3,2]
[2,5,6,7,3,1,4]=>[3,7,5,6,4,1,2]
[2,5,6,7,3,4,1]=>[2,5,7,6,4,3,1]
[2,5,6,7,4,1,3]=>[3,5,7,6,4,1,2]
[2,5,6,7,4,3,1]=>[2,5,6,7,4,3,1]
[2,5,7,1,3,4,6]=>[6,5,4,1,7,2,3]
[2,5,7,1,3,6,4]=>[7,5,4,1,3,6,2]
[2,5,7,1,4,3,6]=>[5,6,4,1,7,2,3]
[2,5,7,1,4,6,3]=>[7,6,4,1,3,5,2]
[2,5,7,1,6,3,4]=>[5,6,4,1,7,3,2]
[2,5,7,1,6,4,3]=>[5,7,4,1,6,3,2]
[2,5,7,3,1,4,6]=>[7,4,5,6,1,2,3]
[2,5,7,3,1,6,4]=>[3,4,5,7,1,6,2]
[2,5,7,3,4,1,6]=>[2,6,5,4,7,1,3]
[2,5,7,3,4,6,1]=>[2,6,5,7,3,4,1]
[2,5,7,3,6,1,4]=>[3,6,7,5,4,1,2]
[2,5,7,3,6,4,1]=>[2,7,5,4,6,3,1]
[2,5,7,4,1,3,6]=>[7,6,5,4,1,2,3]
[2,5,7,4,1,6,3]=>[3,6,5,7,1,4,2]
[2,5,7,4,3,1,6]=>[2,5,6,4,7,1,3]
[2,5,7,4,3,6,1]=>[2,5,6,7,3,4,1]
[2,5,7,4,6,1,3]=>[3,6,7,4,5,1,2]
[2,5,7,4,6,3,1]=>[2,7,6,4,5,3,1]
[2,5,7,6,1,3,4]=>[4,7,5,6,1,3,2]
[2,5,7,6,1,4,3]=>[4,6,5,7,1,3,2]
[2,5,7,6,3,1,4]=>[3,7,6,5,4,1,2]
[2,5,7,6,3,4,1]=>[2,5,6,7,4,3,1]
[2,5,7,6,4,1,3]=>[3,5,6,7,4,1,2]
[2,5,7,6,4,3,1]=>[2,5,7,6,4,3,1]
[2,6,1,3,4,5,7]=>[4,3,1,5,6,2,7]
[2,6,1,3,4,7,5]=>[4,3,1,5,6,7,2]
[2,6,1,3,5,4,7]=>[4,3,1,6,5,2,7]
[2,6,1,3,5,7,4]=>[4,3,1,6,5,7,2]
[2,6,1,3,7,4,5]=>[4,3,1,7,6,5,2]
[2,6,1,3,7,5,4]=>[4,3,1,6,7,5,2]
[2,6,1,4,3,5,7]=>[5,3,1,4,6,2,7]
[2,6,1,4,3,7,5]=>[5,3,1,4,6,7,2]
[2,6,1,4,5,3,7]=>[5,3,1,6,4,2,7]
[2,6,1,4,5,7,3]=>[5,3,1,6,4,7,2]
[2,6,1,4,7,3,5]=>[7,3,1,4,6,5,2]
[2,6,1,4,7,5,3]=>[5,3,1,6,7,4,2]
[2,6,1,5,3,4,7]=>[5,3,1,6,4,2,7]
[2,6,1,5,3,7,4]=>[5,3,1,6,4,7,2]
[2,6,1,5,4,3,7]=>[6,3,1,5,4,2,7]
[2,6,1,5,4,7,3]=>[6,3,1,5,4,7,2]
[2,6,1,5,7,3,4]=>[7,3,1,5,6,4,2]
[2,6,1,5,7,4,3]=>[6,3,1,5,7,4,2]
[2,6,1,7,3,4,5]=>[6,3,1,5,7,4,2]
[2,6,1,7,3,5,4]=>[7,3,1,5,6,4,2]
[2,6,1,7,4,3,5]=>[5,3,1,6,7,4,2]
[2,6,1,7,4,5,3]=>[7,3,1,6,5,4,2]
[2,6,1,7,5,3,4]=>[7,3,1,6,5,4,2]
[2,6,1,7,5,4,3]=>[6,3,1,7,5,4,2]
[2,6,3,1,4,5,7]=>[5,4,3,1,6,2,7]
[2,6,3,1,4,7,5]=>[5,4,3,1,6,7,2]
[2,6,3,1,5,4,7]=>[6,4,3,1,5,2,7]
[2,6,3,1,5,7,4]=>[6,4,3,1,5,7,2]
[2,6,3,1,7,4,5]=>[7,4,3,1,6,5,2]
[2,6,3,1,7,5,4]=>[6,4,3,1,7,5,2]
[2,6,3,4,1,5,7]=>[6,4,5,3,1,2,7]
[2,6,3,4,1,7,5]=>[6,4,5,3,1,7,2]
[2,6,3,4,5,1,7]=>[2,4,5,6,3,1,7]
[2,6,3,4,5,7,1]=>[2,4,5,6,3,7,1]
[2,6,3,4,7,1,5]=>[5,4,7,3,6,1,2]
[2,6,3,4,7,5,1]=>[2,4,5,6,7,3,1]
[2,6,3,5,1,4,7]=>[4,6,5,3,1,2,7]
[2,6,3,5,1,7,4]=>[4,6,5,3,1,7,2]
[2,6,3,5,4,1,7]=>[2,4,6,5,3,1,7]
[2,6,3,5,4,7,1]=>[2,4,6,5,3,7,1]
[2,6,3,5,7,1,4]=>[4,5,7,3,6,1,2]
[2,6,3,5,7,4,1]=>[2,4,6,5,7,3,1]
[2,6,3,7,1,4,5]=>[7,6,3,5,1,4,2]
[2,6,3,7,1,5,4]=>[6,7,3,5,1,4,2]
[2,6,3,7,4,1,5]=>[4,7,5,6,3,1,2]
[2,6,3,7,4,5,1]=>[2,4,7,6,5,3,1]
[2,6,3,7,5,1,4]=>[4,5,7,6,3,1,2]
[2,6,3,7,5,4,1]=>[2,4,6,7,5,3,1]
[2,6,4,1,3,5,7]=>[3,4,5,1,6,2,7]
[2,6,4,1,3,7,5]=>[3,4,5,1,6,7,2]
[2,6,4,1,5,3,7]=>[6,4,5,1,3,2,7]
[2,6,4,1,5,7,3]=>[6,4,5,1,3,7,2]
[2,6,4,1,7,3,5]=>[3,4,7,1,6,5,2]
[2,6,4,1,7,5,3]=>[6,4,5,1,7,3,2]
[2,6,4,3,1,5,7]=>[6,5,4,3,1,2,7]
[2,6,4,3,1,7,5]=>[6,5,4,3,1,7,2]
[2,6,4,3,5,1,7]=>[2,5,4,6,3,1,7]
[2,6,4,3,5,7,1]=>[2,5,4,6,3,7,1]
[2,6,4,3,7,1,5]=>[5,7,4,3,6,1,2]
[2,6,4,3,7,5,1]=>[2,5,4,6,7,3,1]
[2,6,4,5,1,3,7]=>[3,6,5,4,1,2,7]
[2,6,4,5,1,7,3]=>[3,6,5,4,1,7,2]
[2,6,4,5,3,1,7]=>[2,5,6,4,3,1,7]
[2,6,4,5,3,7,1]=>[2,5,6,4,3,7,1]
[2,6,4,5,7,1,3]=>[3,5,7,4,6,1,2]
[2,6,4,5,7,3,1]=>[2,5,6,4,7,3,1]
[2,6,4,7,1,3,5]=>[3,6,7,5,1,4,2]
[2,6,4,7,1,5,3]=>[6,7,4,5,1,3,2]
[2,6,4,7,3,1,5]=>[4,5,7,6,3,1,2]
[2,6,4,7,3,5,1]=>[2,7,4,6,5,3,1]
[2,6,4,7,5,1,3]=>[3,5,7,6,4,1,2]
[2,6,4,7,5,3,1]=>[2,5,6,7,4,3,1]
[2,6,5,1,3,4,7]=>[6,4,5,1,3,2,7]
[2,6,5,1,3,7,4]=>[6,4,5,1,3,7,2]
[2,6,5,1,4,3,7]=>[5,4,6,1,3,2,7]
[2,6,5,1,4,7,3]=>[5,4,6,1,3,7,2]
[2,6,5,1,7,3,4]=>[5,4,7,1,6,3,2]
[2,6,5,1,7,4,3]=>[5,4,6,1,7,3,2]
[2,6,5,3,1,4,7]=>[3,5,4,6,1,2,7]
[2,6,5,3,1,7,4]=>[3,5,4,6,1,7,2]
[2,6,5,3,4,1,7]=>[2,5,6,4,3,1,7]
[2,6,5,3,4,7,1]=>[2,5,6,4,3,7,1]
[2,6,5,3,7,1,4]=>[3,7,4,5,6,1,2]
[2,6,5,3,7,4,1]=>[2,5,6,4,7,3,1]
[2,6,5,4,1,3,7]=>[3,5,6,4,1,2,7]
[2,6,5,4,1,7,3]=>[3,5,6,4,1,7,2]
[2,6,5,4,3,1,7]=>[2,6,5,4,3,1,7]
[2,6,5,4,3,7,1]=>[2,6,5,4,3,7,1]
[2,6,5,4,7,1,3]=>[3,7,5,4,6,1,2]
[2,6,5,4,7,3,1]=>[2,6,5,4,7,3,1]
[2,6,5,7,1,3,4]=>[4,6,7,5,1,3,2]
[2,6,5,7,1,4,3]=>[4,7,6,5,1,3,2]
[2,6,5,7,3,1,4]=>[3,5,7,6,4,1,2]
[2,6,5,7,3,4,1]=>[2,7,5,6,4,3,1]
[2,6,5,7,4,1,3]=>[3,7,5,6,4,1,2]
[2,6,5,7,4,3,1]=>[2,6,5,7,4,3,1]
[2,6,7,1,3,4,5]=>[6,5,4,1,7,3,2]
[2,6,7,1,3,5,4]=>[7,5,4,1,6,3,2]
[2,6,7,1,4,3,5]=>[5,6,4,1,7,3,2]
[2,6,7,1,4,5,3]=>[7,6,4,1,5,3,2]
[2,6,7,1,5,3,4]=>[7,6,4,1,5,3,2]
[2,6,7,1,5,4,3]=>[6,7,4,1,5,3,2]
[2,6,7,3,1,4,5]=>[7,4,5,6,1,3,2]
[2,6,7,3,1,5,4]=>[6,4,5,7,1,3,2]
[2,6,7,3,4,1,5]=>[3,6,5,4,7,1,2]
[2,6,7,3,4,5,1]=>[2,6,5,7,4,3,1]
[2,6,7,3,5,1,4]=>[3,6,7,4,5,1,2]
[2,6,7,3,5,4,1]=>[2,7,5,6,4,3,1]
[2,6,7,4,1,3,5]=>[7,6,5,4,1,3,2]
[2,6,7,4,1,5,3]=>[4,6,5,7,1,3,2]
[2,6,7,4,3,1,5]=>[3,5,6,4,7,1,2]
[2,6,7,4,3,5,1]=>[2,5,6,7,4,3,1]
[2,6,7,4,5,1,3]=>[3,6,7,5,4,1,2]
[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]
[2,6,7,5,1,3,4]=>[4,6,5,7,1,3,2]
[2,6,7,5,1,4,3]=>[4,7,5,6,1,3,2]
[2,6,7,5,3,1,4]=>[3,5,6,7,4,1,2]
[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]
[2,6,7,5,4,1,3]=>[3,7,6,5,4,1,2]
[2,6,7,5,4,3,1]=>[2,6,7,5,4,3,1]
[2,7,1,3,4,5,6]=>[4,3,1,5,6,7,2]
[2,7,1,3,4,6,5]=>[4,3,1,5,7,6,2]
[2,7,1,3,5,4,6]=>[4,3,1,6,5,7,2]
[2,7,1,3,5,6,4]=>[4,3,1,6,7,5,2]
[2,7,1,3,6,4,5]=>[4,3,1,6,7,5,2]
[2,7,1,3,6,5,4]=>[4,3,1,7,6,5,2]
[2,7,1,4,3,5,6]=>[5,3,1,4,6,7,2]
[2,7,1,4,3,6,5]=>[5,3,1,4,7,6,2]
[2,7,1,4,5,3,6]=>[5,3,1,6,4,7,2]
[2,7,1,4,5,6,3]=>[5,3,1,6,7,4,2]
[2,7,1,4,6,3,5]=>[7,3,1,6,4,5,2]
[2,7,1,4,6,5,3]=>[5,3,1,7,6,4,2]
[2,7,1,5,3,4,6]=>[5,3,1,6,4,7,2]
[2,7,1,5,3,6,4]=>[5,3,1,6,7,4,2]
[2,7,1,5,4,3,6]=>[6,3,1,5,4,7,2]
[2,7,1,5,4,6,3]=>[6,3,1,5,7,4,2]
[2,7,1,5,6,3,4]=>[7,3,1,6,5,4,2]
[2,7,1,5,6,4,3]=>[6,3,1,7,5,4,2]
[2,7,1,6,3,4,5]=>[5,3,1,6,7,4,2]
[2,7,1,6,3,5,4]=>[5,3,1,7,6,4,2]
[2,7,1,6,4,3,5]=>[6,3,1,5,7,4,2]
[2,7,1,6,4,5,3]=>[6,3,1,7,5,4,2]
[2,7,1,6,5,3,4]=>[6,3,1,7,5,4,2]
[2,7,1,6,5,4,3]=>[7,3,1,6,5,4,2]
[2,7,3,1,4,5,6]=>[5,4,3,1,6,7,2]
[2,7,3,1,4,6,5]=>[5,4,3,1,7,6,2]
[2,7,3,1,5,4,6]=>[6,4,3,1,5,7,2]
[2,7,3,1,5,6,4]=>[6,4,3,1,7,5,2]
[2,7,3,1,6,4,5]=>[6,4,3,1,7,5,2]
[2,7,3,1,6,5,4]=>[7,4,3,1,6,5,2]
[2,7,3,4,1,5,6]=>[6,4,5,3,1,7,2]
[2,7,3,4,1,6,5]=>[7,4,5,3,1,6,2]
[2,7,3,4,5,1,6]=>[7,4,5,6,3,1,2]
[2,7,3,4,5,6,1]=>[2,4,5,6,7,3,1]
[2,7,3,4,6,1,5]=>[5,4,7,6,3,1,2]
[2,7,3,4,6,5,1]=>[2,4,5,7,6,3,1]
[2,7,3,5,1,4,6]=>[4,6,5,3,1,7,2]
[2,7,3,5,1,6,4]=>[7,6,5,3,1,4,2]
[2,7,3,5,4,1,6]=>[7,4,6,5,3,1,2]
[2,7,3,5,4,6,1]=>[2,4,6,5,7,3,1]
[2,7,3,5,6,1,4]=>[4,5,7,6,3,1,2]
[2,7,3,5,6,4,1]=>[2,4,6,7,5,3,1]
[2,7,3,6,1,4,5]=>[7,6,5,3,1,4,2]
[2,7,3,6,1,5,4]=>[6,7,5,3,1,4,2]
[2,7,3,6,4,1,5]=>[4,7,6,5,3,1,2]
[2,7,3,6,4,5,1]=>[2,4,6,7,5,3,1]
[2,7,3,6,5,1,4]=>[4,5,6,7,3,1,2]
[2,7,3,6,5,4,1]=>[2,4,7,6,5,3,1]
[2,7,4,1,3,5,6]=>[3,4,5,1,6,7,2]
[2,7,4,1,3,6,5]=>[3,4,5,1,7,6,2]
[2,7,4,1,5,3,6]=>[6,4,5,1,3,7,2]
[2,7,4,1,5,6,3]=>[6,4,5,1,7,3,2]
[2,7,4,1,6,3,5]=>[6,4,7,1,3,5,2]
[2,7,4,1,6,5,3]=>[7,4,5,1,6,3,2]
[2,7,4,3,1,5,6]=>[6,5,4,3,1,7,2]
[2,7,4,3,1,6,5]=>[7,5,4,3,1,6,2]
[2,7,4,3,5,1,6]=>[7,5,4,6,3,1,2]
[2,7,4,3,5,6,1]=>[2,5,4,6,7,3,1]
[2,7,4,3,6,1,5]=>[5,7,4,6,3,1,2]
[2,7,4,3,6,5,1]=>[2,5,4,7,6,3,1]
[2,7,4,5,1,3,6]=>[3,6,5,4,1,7,2]
[2,7,4,5,1,6,3]=>[7,6,5,4,1,3,2]
[2,7,4,5,3,1,6]=>[7,5,6,4,3,1,2]
[2,7,4,5,3,6,1]=>[2,5,6,4,7,3,1]
[2,7,4,5,6,1,3]=>[3,5,7,6,4,1,2]
[2,7,4,5,6,3,1]=>[2,5,6,7,4,3,1]
[2,7,4,6,1,3,5]=>[3,6,5,7,1,4,2]
[2,7,4,6,1,5,3]=>[6,7,5,4,1,3,2]
[2,7,4,6,3,1,5]=>[4,5,6,7,3,1,2]
[2,7,4,6,3,5,1]=>[2,7,6,4,5,3,1]
[2,7,4,6,5,1,3]=>[3,5,6,7,4,1,2]
[2,7,4,6,5,3,1]=>[2,5,7,6,4,3,1]
[2,7,5,1,3,4,6]=>[6,4,5,1,3,7,2]
[2,7,5,1,3,6,4]=>[6,4,5,1,7,3,2]
[2,7,5,1,4,3,6]=>[5,4,6,1,3,7,2]
[2,7,5,1,4,6,3]=>[5,4,6,1,7,3,2]
[2,7,5,1,6,3,4]=>[6,4,7,1,5,3,2]
[2,7,5,1,6,4,3]=>[7,4,6,1,5,3,2]
[2,7,5,3,1,4,6]=>[3,5,4,6,1,7,2]
[2,7,5,3,1,6,4]=>[7,5,4,6,1,3,2]
[2,7,5,3,4,1,6]=>[7,5,6,4,3,1,2]
[2,7,5,3,4,6,1]=>[2,5,6,4,7,3,1]
[2,7,5,3,6,1,4]=>[3,7,4,6,5,1,2]
[2,7,5,3,6,4,1]=>[2,5,6,7,4,3,1]
[2,7,5,4,1,3,6]=>[3,5,6,4,1,7,2]
[2,7,5,4,1,6,3]=>[7,5,6,4,1,3,2]
[2,7,5,4,3,1,6]=>[7,6,5,4,3,1,2]
[2,7,5,4,3,6,1]=>[2,6,5,4,7,3,1]
[2,7,5,4,6,1,3]=>[3,7,5,6,4,1,2]
[2,7,5,4,6,3,1]=>[2,6,5,7,4,3,1]
[2,7,5,6,1,3,4]=>[4,6,5,7,1,3,2]
[2,7,5,6,1,4,3]=>[4,7,5,6,1,3,2]
[2,7,5,6,3,1,4]=>[3,5,6,7,4,1,2]
[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]
[2,7,5,6,4,1,3]=>[3,7,6,5,4,1,2]
[2,7,5,6,4,3,1]=>[2,6,7,5,4,3,1]
[2,7,6,1,3,4,5]=>[6,4,5,1,7,3,2]
[2,7,6,1,3,5,4]=>[7,4,5,1,6,3,2]
[2,7,6,1,4,3,5]=>[5,4,6,1,7,3,2]
[2,7,6,1,4,5,3]=>[7,4,6,1,5,3,2]
[2,7,6,1,5,3,4]=>[7,4,6,1,5,3,2]
[2,7,6,1,5,4,3]=>[6,4,7,1,5,3,2]
[2,7,6,3,1,4,5]=>[7,5,4,6,1,3,2]
[2,7,6,3,1,5,4]=>[6,5,4,7,1,3,2]
[2,7,6,3,4,1,5]=>[3,5,6,4,7,1,2]
[2,7,6,3,4,5,1]=>[2,5,6,7,4,3,1]
[2,7,6,3,5,1,4]=>[3,7,6,4,5,1,2]
[2,7,6,3,5,4,1]=>[2,5,7,6,4,3,1]
[2,7,6,4,1,3,5]=>[7,5,6,4,1,3,2]
[2,7,6,4,1,5,3]=>[4,5,6,7,1,3,2]
[2,7,6,4,3,1,5]=>[3,6,5,4,7,1,2]
[2,7,6,4,3,5,1]=>[2,6,5,7,4,3,1]
[2,7,6,4,5,1,3]=>[3,7,6,5,4,1,2]
[2,7,6,4,5,3,1]=>[2,6,7,5,4,3,1]
[2,7,6,5,1,3,4]=>[4,5,6,7,1,3,2]
[2,7,6,5,1,4,3]=>[4,5,7,6,1,3,2]
[2,7,6,5,3,1,4]=>[3,6,5,7,4,1,2]
[2,7,6,5,3,4,1]=>[2,6,7,5,4,3,1]
[2,7,6,5,4,1,3]=>[3,6,7,5,4,1,2]
[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]
[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6]
[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]
[3,1,2,4,6,7,5]=>[2,3,1,4,6,7,5]
[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]
[3,1,2,4,7,6,5]=>[2,3,1,4,7,6,5]
[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7]
[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6]
[3,1,2,5,6,4,7]=>[2,3,1,5,6,4,7]
[3,1,2,5,6,7,4]=>[2,3,1,5,6,7,4]
[3,1,2,5,7,4,6]=>[2,3,1,7,6,4,5]
[3,1,2,5,7,6,4]=>[2,3,1,5,7,6,4]
[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]
[3,1,2,6,4,7,5]=>[2,3,1,5,6,7,4]
[3,1,2,6,5,4,7]=>[2,3,1,6,5,4,7]
[3,1,2,6,5,7,4]=>[2,3,1,6,5,7,4]
[3,1,2,6,7,4,5]=>[2,3,1,7,6,5,4]
[3,1,2,6,7,5,4]=>[2,3,1,6,7,5,4]
[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]
[3,1,2,7,4,6,5]=>[2,3,1,5,7,6,4]
[3,1,2,7,5,4,6]=>[2,3,1,6,5,7,4]
[3,1,2,7,5,6,4]=>[2,3,1,6,7,5,4]
[3,1,2,7,6,4,5]=>[2,3,1,6,7,5,4]
[3,1,2,7,6,5,4]=>[2,3,1,7,6,5,4]
[3,1,4,2,5,6,7]=>[2,3,4,1,5,6,7]
[3,1,4,2,5,7,6]=>[2,3,4,1,5,7,6]
[3,1,4,2,6,5,7]=>[2,3,4,1,6,5,7]
[3,1,4,2,6,7,5]=>[2,3,4,1,6,7,5]
[3,1,4,2,7,5,6]=>[2,3,4,1,6,7,5]
[3,1,4,2,7,6,5]=>[2,3,4,1,7,6,5]
[3,1,4,5,2,6,7]=>[2,3,4,5,1,6,7]
[3,1,4,5,2,7,6]=>[2,3,4,5,1,7,6]
[3,1,4,5,6,2,7]=>[2,3,4,5,6,1,7]
[3,1,4,5,6,7,2]=>[2,3,4,5,6,7,1]
[3,1,4,5,7,2,6]=>[2,3,4,7,6,1,5]
[3,1,4,5,7,6,2]=>[2,3,4,5,7,6,1]
[3,1,4,6,2,5,7]=>[2,3,6,5,1,4,7]
[3,1,4,6,2,7,5]=>[2,3,6,5,1,7,4]
[3,1,4,6,5,2,7]=>[2,3,4,6,5,1,7]
[3,1,4,6,5,7,2]=>[2,3,4,6,5,7,1]
[3,1,4,6,7,2,5]=>[2,3,5,7,6,1,4]
[3,1,4,6,7,5,2]=>[2,3,4,6,7,5,1]
[3,1,4,7,2,5,6]=>[2,3,6,5,1,7,4]
[3,1,4,7,2,6,5]=>[2,3,7,5,1,6,4]
[3,1,4,7,5,2,6]=>[2,3,7,6,5,1,4]
[3,1,4,7,5,6,2]=>[2,3,4,6,7,5,1]
[3,1,4,7,6,2,5]=>[2,3,5,6,7,1,4]
[3,1,4,7,6,5,2]=>[2,3,4,7,6,5,1]
[3,1,5,2,4,6,7]=>[2,5,4,1,3,6,7]
[3,1,5,2,4,7,6]=>[2,5,4,1,3,7,6]
[3,1,5,2,6,4,7]=>[2,5,4,1,6,3,7]
[3,1,5,2,6,7,4]=>[2,5,4,1,6,7,3]
[3,1,5,2,7,4,6]=>[2,7,4,1,6,3,5]
[3,1,5,2,7,6,4]=>[2,5,4,1,7,6,3]
[3,1,5,4,2,6,7]=>[2,3,5,4,1,6,7]
[3,1,5,4,2,7,6]=>[2,3,5,4,1,7,6]
[3,1,5,4,6,2,7]=>[2,3,5,4,6,1,7]
[3,1,5,4,6,7,2]=>[2,3,5,4,6,7,1]
[3,1,5,4,7,2,6]=>[2,3,7,4,6,1,5]
[3,1,5,4,7,6,2]=>[2,3,5,4,7,6,1]
[3,1,5,6,2,4,7]=>[2,4,6,5,1,3,7]
[3,1,5,6,2,7,4]=>[2,4,6,5,1,7,3]
[3,1,5,6,4,2,7]=>[2,3,5,6,4,1,7]
[3,1,5,6,4,7,2]=>[2,3,5,6,4,7,1]
[3,1,5,6,7,2,4]=>[2,4,5,7,6,1,3]
[3,1,5,6,7,4,2]=>[2,3,5,6,7,4,1]
[3,1,5,7,2,4,6]=>[2,7,6,5,1,3,4]
[3,1,5,7,2,6,4]=>[2,4,7,5,1,6,3]
[3,1,5,7,4,2,6]=>[2,3,5,6,7,1,4]
[3,1,5,7,4,6,2]=>[2,3,7,6,4,5,1]
[3,1,5,7,6,2,4]=>[2,4,5,6,7,1,3]
[3,1,5,7,6,4,2]=>[2,3,5,7,6,4,1]
[3,1,6,2,4,5,7]=>[2,5,4,1,6,3,7]
[3,1,6,2,4,7,5]=>[2,5,4,1,6,7,3]
[3,1,6,2,5,4,7]=>[2,6,4,1,5,3,7]
[3,1,6,2,5,7,4]=>[2,6,4,1,5,7,3]
[3,1,6,2,7,4,5]=>[2,7,4,1,6,5,3]
[3,1,6,2,7,5,4]=>[2,6,4,1,7,5,3]
[3,1,6,4,2,5,7]=>[2,6,5,4,1,3,7]
[3,1,6,4,2,7,5]=>[2,6,5,4,1,7,3]
[3,1,6,4,5,2,7]=>[2,3,5,6,4,1,7]
[3,1,6,4,5,7,2]=>[2,3,5,6,4,7,1]
[3,1,6,4,7,2,5]=>[2,5,7,4,6,1,3]
[3,1,6,4,7,5,2]=>[2,3,5,6,7,4,1]
[3,1,6,5,2,4,7]=>[2,4,5,6,1,3,7]
[3,1,6,5,2,7,4]=>[2,4,5,6,1,7,3]
[3,1,6,5,4,2,7]=>[2,3,6,5,4,1,7]
[3,1,6,5,4,7,2]=>[2,3,6,5,4,7,1]
[3,1,6,5,7,2,4]=>[2,4,7,5,6,1,3]
[3,1,6,5,7,4,2]=>[2,3,6,5,7,4,1]
[3,1,6,7,2,4,5]=>[2,7,6,5,1,4,3]
[3,1,6,7,2,5,4]=>[2,6,7,5,1,4,3]
[3,1,6,7,4,2,5]=>[2,4,5,6,7,1,3]
[3,1,6,7,4,5,2]=>[2,3,7,6,5,4,1]
[3,1,6,7,5,2,4]=>[2,4,7,6,5,1,3]
[3,1,6,7,5,4,2]=>[2,3,6,7,5,4,1]
[3,1,7,2,4,5,6]=>[2,5,4,1,6,7,3]
[3,1,7,2,4,6,5]=>[2,5,4,1,7,6,3]
[3,1,7,2,5,4,6]=>[2,6,4,1,5,7,3]
[3,1,7,2,5,6,4]=>[2,6,4,1,7,5,3]
[3,1,7,2,6,4,5]=>[2,6,4,1,7,5,3]
[3,1,7,2,6,5,4]=>[2,7,4,1,6,5,3]
[3,1,7,4,2,5,6]=>[2,6,5,4,1,7,3]
[3,1,7,4,2,6,5]=>[2,7,5,4,1,6,3]
[3,1,7,4,5,2,6]=>[2,7,5,6,4,1,3]
[3,1,7,4,5,6,2]=>[2,3,5,6,7,4,1]
[3,1,7,4,6,2,5]=>[2,5,7,6,4,1,3]
[3,1,7,4,6,5,2]=>[2,3,5,7,6,4,1]
[3,1,7,5,2,4,6]=>[2,4,5,6,1,7,3]
[3,1,7,5,2,6,4]=>[2,7,5,6,1,4,3]
[3,1,7,5,4,2,6]=>[2,7,6,5,4,1,3]
[3,1,7,5,4,6,2]=>[2,3,6,5,7,4,1]
[3,1,7,5,6,2,4]=>[2,4,7,6,5,1,3]
[3,1,7,5,6,4,2]=>[2,3,6,7,5,4,1]
[3,1,7,6,2,4,5]=>[2,7,5,6,1,4,3]
[3,1,7,6,2,5,4]=>[2,6,5,7,1,4,3]
[3,1,7,6,4,2,5]=>[2,4,6,5,7,1,3]
[3,1,7,6,4,5,2]=>[2,3,6,7,5,4,1]
[3,1,7,6,5,2,4]=>[2,4,6,7,5,1,3]
[3,1,7,6,5,4,2]=>[2,3,7,6,5,4,1]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]
[3,2,1,4,6,7,5]=>[3,2,1,4,6,7,5]
[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5]
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]
[3,2,1,5,6,4,7]=>[3,2,1,5,6,4,7]
[3,2,1,5,6,7,4]=>[3,2,1,5,6,7,4]
[3,2,1,5,7,4,6]=>[3,2,1,7,6,4,5]
[3,2,1,5,7,6,4]=>[3,2,1,5,7,6,4]
[3,2,1,6,4,5,7]=>[3,2,1,5,6,4,7]
[3,2,1,6,4,7,5]=>[3,2,1,5,6,7,4]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]
[3,2,1,6,5,7,4]=>[3,2,1,6,5,7,4]
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]
[3,2,1,6,7,5,4]=>[3,2,1,6,7,5,4]
[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4]
[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4]
[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]
[3,2,1,7,5,6,4]=>[3,2,1,6,7,5,4]
[3,2,1,7,6,4,5]=>[3,2,1,6,7,5,4]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]
[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]
[3,2,4,1,5,7,6]=>[3,2,4,1,5,7,6]
[3,2,4,1,6,5,7]=>[3,2,4,1,6,5,7]
[3,2,4,1,6,7,5]=>[3,2,4,1,6,7,5]
[3,2,4,1,7,5,6]=>[3,2,4,1,6,7,5]
[3,2,4,1,7,6,5]=>[3,2,4,1,7,6,5]
[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]
[3,2,4,5,1,7,6]=>[3,2,4,5,1,7,6]
[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]=>[3,2,4,7,6,1,5]
[3,2,4,5,7,6,1]=>[3,2,4,5,7,6,1]
[3,2,4,6,1,5,7]=>[3,2,6,5,1,4,7]
[3,2,4,6,1,7,5]=>[3,2,6,5,1,7,4]
[3,2,4,6,5,1,7]=>[3,2,4,6,5,1,7]
[3,2,4,6,5,7,1]=>[3,2,4,6,5,7,1]
[3,2,4,6,7,1,5]=>[3,2,5,7,6,1,4]
[3,2,4,6,7,5,1]=>[3,2,4,6,7,5,1]
[3,2,4,7,1,5,6]=>[3,2,6,5,1,7,4]
[3,2,4,7,1,6,5]=>[3,2,7,5,1,6,4]
[3,2,4,7,5,1,6]=>[3,2,7,6,5,1,4]
[3,2,4,7,5,6,1]=>[3,2,4,6,7,5,1]
[3,2,4,7,6,1,5]=>[3,2,5,6,7,1,4]
[3,2,4,7,6,5,1]=>[3,2,4,7,6,5,1]
[3,2,5,1,4,6,7]=>[5,2,4,1,3,6,7]
[3,2,5,1,4,7,6]=>[5,2,4,1,3,7,6]
[3,2,5,1,6,4,7]=>[5,2,4,1,6,3,7]
[3,2,5,1,6,7,4]=>[5,2,4,1,6,7,3]
[3,2,5,1,7,4,6]=>[7,2,4,1,6,3,5]
[3,2,5,1,7,6,4]=>[5,2,4,1,7,6,3]
[3,2,5,4,1,6,7]=>[3,2,5,4,1,6,7]
[3,2,5,4,1,7,6]=>[3,2,5,4,1,7,6]
[3,2,5,4,6,1,7]=>[3,2,5,4,6,1,7]
[3,2,5,4,6,7,1]=>[3,2,5,4,6,7,1]
[3,2,5,4,7,1,6]=>[3,2,7,4,6,1,5]
[3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1]
[3,2,5,6,1,4,7]=>[4,2,6,5,1,3,7]
[3,2,5,6,1,7,4]=>[4,2,6,5,1,7,3]
[3,2,5,6,4,1,7]=>[3,2,5,6,4,1,7]
[3,2,5,6,4,7,1]=>[3,2,5,6,4,7,1]
[3,2,5,6,7,1,4]=>[4,2,5,7,6,1,3]
[3,2,5,6,7,4,1]=>[3,2,5,6,7,4,1]
[3,2,5,7,1,4,6]=>[7,2,6,5,1,3,4]
[3,2,5,7,1,6,4]=>[4,2,7,5,1,6,3]
[3,2,5,7,4,1,6]=>[3,2,5,6,7,1,4]
[3,2,5,7,4,6,1]=>[3,2,7,6,4,5,1]
[3,2,5,7,6,1,4]=>[4,2,5,6,7,1,3]
[3,2,5,7,6,4,1]=>[3,2,5,7,6,4,1]
[3,2,6,1,4,5,7]=>[5,2,4,1,6,3,7]
[3,2,6,1,4,7,5]=>[5,2,4,1,6,7,3]
[3,2,6,1,5,4,7]=>[6,2,4,1,5,3,7]
[3,2,6,1,5,7,4]=>[6,2,4,1,5,7,3]
[3,2,6,1,7,4,5]=>[7,2,4,1,6,5,3]
[3,2,6,1,7,5,4]=>[6,2,4,1,7,5,3]
[3,2,6,4,1,5,7]=>[6,2,5,4,1,3,7]
[3,2,6,4,1,7,5]=>[6,2,5,4,1,7,3]
[3,2,6,4,5,1,7]=>[3,2,5,6,4,1,7]
[3,2,6,4,5,7,1]=>[3,2,5,6,4,7,1]
[3,2,6,4,7,1,5]=>[5,2,7,4,6,1,3]
[3,2,6,4,7,5,1]=>[3,2,5,6,7,4,1]
[3,2,6,5,1,4,7]=>[4,2,5,6,1,3,7]
[3,2,6,5,1,7,4]=>[4,2,5,6,1,7,3]
[3,2,6,5,4,1,7]=>[3,2,6,5,4,1,7]
[3,2,6,5,4,7,1]=>[3,2,6,5,4,7,1]
[3,2,6,5,7,1,4]=>[4,2,7,5,6,1,3]
[3,2,6,5,7,4,1]=>[3,2,6,5,7,4,1]
[3,2,6,7,1,4,5]=>[7,2,6,5,1,4,3]
[3,2,6,7,1,5,4]=>[6,2,7,5,1,4,3]
[3,2,6,7,4,1,5]=>[4,2,5,6,7,1,3]
[3,2,6,7,4,5,1]=>[3,2,7,6,5,4,1]
[3,2,6,7,5,1,4]=>[4,2,7,6,5,1,3]
[3,2,6,7,5,4,1]=>[3,2,6,7,5,4,1]
[3,2,7,1,4,5,6]=>[5,2,4,1,6,7,3]
[3,2,7,1,4,6,5]=>[5,2,4,1,7,6,3]
[3,2,7,1,5,4,6]=>[6,2,4,1,5,7,3]
[3,2,7,1,5,6,4]=>[6,2,4,1,7,5,3]
[3,2,7,1,6,4,5]=>[6,2,4,1,7,5,3]
[3,2,7,1,6,5,4]=>[7,2,4,1,6,5,3]
[3,2,7,4,1,5,6]=>[6,2,5,4,1,7,3]
[3,2,7,4,1,6,5]=>[7,2,5,4,1,6,3]
[3,2,7,4,5,1,6]=>[7,2,5,6,4,1,3]
[3,2,7,4,5,6,1]=>[3,2,5,6,7,4,1]
[3,2,7,4,6,1,5]=>[5,2,7,6,4,1,3]
[3,2,7,4,6,5,1]=>[3,2,5,7,6,4,1]
[3,2,7,5,1,4,6]=>[4,2,5,6,1,7,3]
[3,2,7,5,1,6,4]=>[7,2,5,6,1,4,3]
[3,2,7,5,4,1,6]=>[7,2,6,5,4,1,3]
[3,2,7,5,4,6,1]=>[3,2,6,5,7,4,1]
[3,2,7,5,6,1,4]=>[4,2,7,6,5,1,3]
[3,2,7,5,6,4,1]=>[3,2,6,7,5,4,1]
[3,2,7,6,1,4,5]=>[7,2,5,6,1,4,3]
[3,2,7,6,1,5,4]=>[6,2,5,7,1,4,3]
[3,2,7,6,4,1,5]=>[4,2,6,5,7,1,3]
[3,2,7,6,4,5,1]=>[3,2,6,7,5,4,1]
[3,2,7,6,5,1,4]=>[4,2,6,7,5,1,3]
[3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]
[3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]
[3,4,1,2,6,7,5]=>[4,3,2,1,6,7,5]
[3,4,1,2,7,5,6]=>[4,3,2,1,6,7,5]
[3,4,1,2,7,6,5]=>[4,3,2,1,7,6,5]
[3,4,1,5,2,6,7]=>[4,3,2,5,1,6,7]
[3,4,1,5,2,7,6]=>[4,3,2,5,1,7,6]
[3,4,1,5,6,2,7]=>[4,3,2,5,6,1,7]
[3,4,1,5,6,7,2]=>[4,3,2,5,6,7,1]
[3,4,1,5,7,2,6]=>[4,3,2,7,6,1,5]
[3,4,1,5,7,6,2]=>[4,3,2,5,7,6,1]
[3,4,1,6,2,5,7]=>[6,3,2,5,1,4,7]
[3,4,1,6,2,7,5]=>[6,3,2,5,1,7,4]
[3,4,1,6,5,2,7]=>[4,3,2,6,5,1,7]
[3,4,1,6,5,7,2]=>[4,3,2,6,5,7,1]
[3,4,1,6,7,2,5]=>[5,3,2,7,6,1,4]
[3,4,1,6,7,5,2]=>[4,3,2,6,7,5,1]
[3,4,1,7,2,5,6]=>[6,3,2,5,1,7,4]
[3,4,1,7,2,6,5]=>[7,3,2,5,1,6,4]
[3,4,1,7,5,2,6]=>[7,3,2,6,5,1,4]
[3,4,1,7,5,6,2]=>[4,3,2,6,7,5,1]
[3,4,1,7,6,2,5]=>[5,3,2,6,7,1,4]
[3,4,1,7,6,5,2]=>[4,3,2,7,6,5,1]
[3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]
[3,4,2,1,5,7,6]=>[3,4,2,1,5,7,6]
[3,4,2,1,6,5,7]=>[3,4,2,1,6,5,7]
[3,4,2,1,6,7,5]=>[3,4,2,1,6,7,5]
[3,4,2,1,7,5,6]=>[3,4,2,1,6,7,5]
[3,4,2,1,7,6,5]=>[3,4,2,1,7,6,5]
[3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]
[3,4,2,5,1,7,6]=>[3,4,2,5,1,7,6]
[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]=>[3,4,2,7,6,1,5]
[3,4,2,5,7,6,1]=>[3,4,2,5,7,6,1]
[3,4,2,6,1,5,7]=>[3,6,2,5,1,4,7]
[3,4,2,6,1,7,5]=>[3,6,2,5,1,7,4]
[3,4,2,6,5,1,7]=>[3,4,2,6,5,1,7]
[3,4,2,6,5,7,1]=>[3,4,2,6,5,7,1]
[3,4,2,6,7,1,5]=>[3,5,2,7,6,1,4]
[3,4,2,6,7,5,1]=>[3,4,2,6,7,5,1]
[3,4,2,7,1,5,6]=>[3,6,2,5,1,7,4]
[3,4,2,7,1,6,5]=>[3,7,2,5,1,6,4]
[3,4,2,7,5,1,6]=>[3,7,2,6,5,1,4]
[3,4,2,7,5,6,1]=>[3,4,2,6,7,5,1]
[3,4,2,7,6,1,5]=>[3,5,2,6,7,1,4]
[3,4,2,7,6,5,1]=>[3,4,2,7,6,5,1]
[3,4,5,1,2,6,7]=>[3,5,4,2,1,6,7]
[3,4,5,1,2,7,6]=>[3,5,4,2,1,7,6]
[3,4,5,1,6,2,7]=>[3,5,4,2,6,1,7]
[3,4,5,1,6,7,2]=>[3,5,4,2,6,7,1]
[3,4,5,1,7,2,6]=>[3,7,4,2,6,1,5]
[3,4,5,1,7,6,2]=>[3,5,4,2,7,6,1]
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]
[3,4,5,2,1,7,6]=>[3,4,5,2,1,7,6]
[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]=>[3,4,7,2,6,1,5]
[3,4,5,2,7,6,1]=>[3,4,5,2,7,6,1]
[3,4,5,6,1,2,7]=>[3,4,6,5,2,1,7]
[3,4,5,6,1,7,2]=>[3,4,6,5,2,7,1]
[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]=>[3,4,5,7,6,2,1]
[3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]
[3,4,5,7,1,2,6]=>[3,7,6,5,2,1,4]
[3,4,5,7,1,6,2]=>[3,4,7,5,2,6,1]
[3,4,5,7,2,1,6]=>[3,7,5,6,2,1,4]
[3,4,5,7,2,6,1]=>[3,4,7,6,2,5,1]
[3,4,5,7,6,1,2]=>[3,4,5,6,7,2,1]
[3,4,5,7,6,2,1]=>[3,4,5,7,6,2,1]
[3,4,6,1,2,5,7]=>[6,5,4,2,1,3,7]
[3,4,6,1,2,7,5]=>[6,5,4,2,1,7,3]
[3,4,6,1,5,2,7]=>[3,6,4,2,5,1,7]
[3,4,6,1,5,7,2]=>[3,6,4,2,5,7,1]
[3,4,6,1,7,2,5]=>[5,7,4,2,6,1,3]
[3,4,6,1,7,5,2]=>[3,6,4,2,7,5,1]
[3,4,6,2,1,5,7]=>[6,4,5,2,1,3,7]
[3,4,6,2,1,7,5]=>[6,4,5,2,1,7,3]
[3,4,6,2,5,1,7]=>[3,6,5,2,4,1,7]
[3,4,6,2,5,7,1]=>[3,6,5,2,4,7,1]
[3,4,6,2,7,1,5]=>[5,4,7,2,6,1,3]
[3,4,6,2,7,5,1]=>[3,6,5,2,7,4,1]
[3,4,6,5,1,2,7]=>[3,4,5,6,2,1,7]
[3,4,6,5,1,7,2]=>[3,4,5,6,2,7,1]
[3,4,6,5,2,1,7]=>[3,4,6,5,2,1,7]
[3,4,6,5,2,7,1]=>[3,4,6,5,2,7,1]
[3,4,6,5,7,1,2]=>[3,4,7,5,6,2,1]
[3,4,6,5,7,2,1]=>[3,4,6,5,7,2,1]
[3,4,6,7,1,2,5]=>[4,7,6,5,2,1,3]
[3,4,6,7,1,5,2]=>[3,6,7,5,2,4,1]
[3,4,6,7,2,1,5]=>[4,7,5,6,2,1,3]
[3,4,6,7,2,5,1]=>[3,5,7,6,2,4,1]
[3,4,6,7,5,1,2]=>[3,4,7,6,5,2,1]
[3,4,6,7,5,2,1]=>[3,4,6,7,5,2,1]
[3,4,7,1,2,5,6]=>[6,5,4,2,1,7,3]
[3,4,7,1,2,6,5]=>[7,5,4,2,1,6,3]
[3,4,7,1,5,2,6]=>[7,6,4,2,5,1,3]
[3,4,7,1,5,6,2]=>[3,6,4,2,7,5,1]
[3,4,7,1,6,2,5]=>[5,6,4,2,7,1,3]
[3,4,7,1,6,5,2]=>[3,7,4,2,6,5,1]
[3,4,7,2,1,5,6]=>[6,4,5,2,1,7,3]
[3,4,7,2,1,6,5]=>[7,4,5,2,1,6,3]
[3,4,7,2,5,1,6]=>[7,6,5,2,4,1,3]
[3,4,7,2,5,6,1]=>[3,6,5,2,7,4,1]
[3,4,7,2,6,1,5]=>[5,6,7,2,4,1,3]
[3,4,7,2,6,5,1]=>[3,7,5,2,6,4,1]
[3,4,7,5,1,2,6]=>[7,4,5,6,2,1,3]
[3,4,7,5,1,6,2]=>[3,7,5,6,2,4,1]
[3,4,7,5,2,1,6]=>[7,4,6,5,2,1,3]
[3,4,7,5,2,6,1]=>[3,7,6,5,2,4,1]
[3,4,7,5,6,1,2]=>[3,4,7,6,5,2,1]
[3,4,7,5,6,2,1]=>[3,4,6,7,5,2,1]
[3,4,7,6,1,2,5]=>[4,7,5,6,2,1,3]
[3,4,7,6,1,5,2]=>[3,6,5,7,2,4,1]
[3,4,7,6,2,1,5]=>[4,7,6,5,2,1,3]
[3,4,7,6,2,5,1]=>[3,5,6,7,2,4,1]
[3,4,7,6,5,1,2]=>[3,4,6,7,5,2,1]
[3,4,7,6,5,2,1]=>[3,4,7,6,5,2,1]
[3,5,1,2,4,6,7]=>[4,3,5,1,2,6,7]
[3,5,1,2,4,7,6]=>[4,3,5,1,2,7,6]
[3,5,1,2,6,4,7]=>[4,3,5,1,6,2,7]
[3,5,1,2,6,7,4]=>[4,3,5,1,6,7,2]
[3,5,1,2,7,4,6]=>[4,3,7,1,6,2,5]
[3,5,1,2,7,6,4]=>[4,3,5,1,7,6,2]
[3,5,1,4,2,6,7]=>[5,3,2,4,1,6,7]
[3,5,1,4,2,7,6]=>[5,3,2,4,1,7,6]
[3,5,1,4,6,2,7]=>[5,3,2,4,6,1,7]
[3,5,1,4,6,7,2]=>[5,3,2,4,6,7,1]
[3,5,1,4,7,2,6]=>[7,3,2,4,6,1,5]
[3,5,1,4,7,6,2]=>[5,3,2,4,7,6,1]
[3,5,1,6,2,4,7]=>[6,3,4,5,1,2,7]
[3,5,1,6,2,7,4]=>[6,3,4,5,1,7,2]
[3,5,1,6,4,2,7]=>[5,3,2,6,4,1,7]
[3,5,1,6,4,7,2]=>[5,3,2,6,4,7,1]
[3,5,1,6,7,2,4]=>[5,3,4,7,6,1,2]
[3,5,1,6,7,4,2]=>[5,3,2,6,7,4,1]
[3,5,1,7,2,4,6]=>[6,3,7,5,1,2,4]
[3,5,1,7,2,6,4]=>[7,3,4,5,1,6,2]
[3,5,1,7,4,2,6]=>[5,3,2,6,7,1,4]
[3,5,1,7,4,6,2]=>[7,3,2,6,4,5,1]
[3,5,1,7,6,2,4]=>[5,3,4,6,7,1,2]
[3,5,1,7,6,4,2]=>[5,3,2,7,6,4,1]
[3,5,2,1,4,6,7]=>[3,4,5,1,2,6,7]
[3,5,2,1,4,7,6]=>[3,4,5,1,2,7,6]
[3,5,2,1,6,4,7]=>[3,4,5,1,6,2,7]
[3,5,2,1,6,7,4]=>[3,4,5,1,6,7,2]
[3,5,2,1,7,4,6]=>[3,4,7,1,6,2,5]
[3,5,2,1,7,6,4]=>[3,4,5,1,7,6,2]
[3,5,2,4,1,6,7]=>[5,4,2,3,1,6,7]
[3,5,2,4,1,7,6]=>[5,4,2,3,1,7,6]
[3,5,2,4,6,1,7]=>[5,4,2,3,6,1,7]
[3,5,2,4,6,7,1]=>[5,4,2,3,6,7,1]
[3,5,2,4,7,1,6]=>[7,4,2,3,6,1,5]
[3,5,2,4,7,6,1]=>[5,4,2,3,7,6,1]
[3,5,2,6,1,4,7]=>[3,6,4,5,1,2,7]
[3,5,2,6,1,7,4]=>[3,6,4,5,1,7,2]
[3,5,2,6,4,1,7]=>[5,4,2,6,3,1,7]
[3,5,2,6,4,7,1]=>[5,4,2,6,3,7,1]
[3,5,2,6,7,1,4]=>[3,5,4,7,6,1,2]
[3,5,2,6,7,4,1]=>[5,4,2,6,7,3,1]
[3,5,2,7,1,4,6]=>[3,6,7,5,1,2,4]
[3,5,2,7,1,6,4]=>[3,7,4,5,1,6,2]
[3,5,2,7,4,1,6]=>[5,7,2,6,3,1,4]
[3,5,2,7,4,6,1]=>[7,4,2,6,3,5,1]
[3,5,2,7,6,1,4]=>[3,5,4,6,7,1,2]
[3,5,2,7,6,4,1]=>[5,4,2,7,6,3,1]
[3,5,4,1,2,6,7]=>[3,4,5,2,1,6,7]
[3,5,4,1,2,7,6]=>[3,4,5,2,1,7,6]
[3,5,4,1,6,2,7]=>[3,4,5,2,6,1,7]
[3,5,4,1,6,7,2]=>[3,4,5,2,6,7,1]
[3,5,4,1,7,2,6]=>[3,4,7,2,6,1,5]
[3,5,4,1,7,6,2]=>[3,4,5,2,7,6,1]
[3,5,4,2,1,6,7]=>[3,5,4,2,1,6,7]
[3,5,4,2,1,7,6]=>[3,5,4,2,1,7,6]
[3,5,4,2,6,1,7]=>[3,5,4,2,6,1,7]
[3,5,4,2,6,7,1]=>[3,5,4,2,6,7,1]
[3,5,4,2,7,1,6]=>[3,7,4,2,6,1,5]
[3,5,4,2,7,6,1]=>[3,5,4,2,7,6,1]
[3,5,4,6,1,2,7]=>[3,6,4,5,2,1,7]
[3,5,4,6,1,7,2]=>[3,6,4,5,2,7,1]
[3,5,4,6,2,1,7]=>[3,5,4,6,2,1,7]
[3,5,4,6,2,7,1]=>[3,5,4,6,2,7,1]
[3,5,4,6,7,1,2]=>[3,5,4,7,6,2,1]
[3,5,4,6,7,2,1]=>[3,5,4,6,7,2,1]
[3,5,4,7,1,2,6]=>[3,6,7,5,2,1,4]
[3,5,4,7,1,6,2]=>[3,7,4,5,2,6,1]
[3,5,4,7,2,1,6]=>[3,5,7,6,2,1,4]
[3,5,4,7,2,6,1]=>[3,7,4,6,2,5,1]
[3,5,4,7,6,1,2]=>[3,5,4,6,7,2,1]
[3,5,4,7,6,2,1]=>[3,5,4,7,6,2,1]
[3,5,6,1,2,4,7]=>[6,5,4,3,1,2,7]
[3,5,6,1,2,7,4]=>[6,5,4,3,1,7,2]
[3,5,6,1,4,2,7]=>[5,6,4,2,3,1,7]
[3,5,6,1,4,7,2]=>[5,6,4,2,3,7,1]
[3,5,6,1,7,2,4]=>[5,7,4,3,6,1,2]
[3,5,6,1,7,4,2]=>[5,6,4,2,7,3,1]
[3,5,6,2,1,4,7]=>[6,4,5,3,1,2,7]
[3,5,6,2,1,7,4]=>[6,4,5,3,1,7,2]
[3,5,6,2,4,1,7]=>[4,6,5,2,3,1,7]
[3,5,6,2,4,7,1]=>[4,6,5,2,3,7,1]
[3,5,6,2,7,1,4]=>[5,4,7,3,6,1,2]
[3,5,6,2,7,4,1]=>[4,6,5,2,7,3,1]
[3,5,6,4,1,2,7]=>[3,6,5,4,2,1,7]
[3,5,6,4,1,7,2]=>[3,6,5,4,2,7,1]
[3,5,6,4,2,1,7]=>[3,5,6,4,2,1,7]
[3,5,6,4,2,7,1]=>[3,5,6,4,2,7,1]
[3,5,6,4,7,1,2]=>[3,5,7,4,6,2,1]
[3,5,6,4,7,2,1]=>[3,5,6,4,7,2,1]
[3,5,6,7,1,2,4]=>[4,7,6,5,3,1,2]
[3,5,6,7,1,4,2]=>[4,6,7,5,2,3,1]
[3,5,6,7,2,1,4]=>[4,7,5,6,3,1,2]
[3,5,6,7,2,4,1]=>[4,5,7,6,2,3,1]
[3,5,6,7,4,1,2]=>[3,5,7,6,4,2,1]
[3,5,6,7,4,2,1]=>[3,5,6,7,4,2,1]
[3,5,7,1,2,4,6]=>[6,5,4,7,1,2,3]
[3,5,7,1,2,6,4]=>[7,5,4,3,1,6,2]
[3,5,7,1,4,2,6]=>[5,6,4,2,7,1,3]
[3,5,7,1,4,6,2]=>[7,6,4,2,3,5,1]
[3,5,7,1,6,2,4]=>[5,6,4,3,7,1,2]
[3,5,7,1,6,4,2]=>[5,7,4,2,6,3,1]
[3,5,7,2,1,4,6]=>[6,4,5,7,1,2,3]
[3,5,7,2,1,6,4]=>[7,4,5,3,1,6,2]
[3,5,7,2,4,1,6]=>[4,6,5,2,7,1,3]
[3,5,7,2,4,6,1]=>[7,6,5,2,3,4,1]
[3,5,7,2,6,1,4]=>[5,6,7,3,4,1,2]
[3,5,7,2,6,4,1]=>[4,7,5,2,6,3,1]
[3,5,7,4,1,2,6]=>[7,6,5,4,2,1,3]
[3,5,7,4,1,6,2]=>[3,6,5,7,2,4,1]
[3,5,7,4,2,1,6]=>[7,5,6,4,2,1,3]
[3,5,7,4,2,6,1]=>[3,5,6,7,2,4,1]
[3,5,7,4,6,1,2]=>[3,6,7,4,5,2,1]
[3,5,7,4,6,2,1]=>[3,7,6,4,5,2,1]
[3,5,7,6,1,2,4]=>[4,7,5,6,3,1,2]
[3,5,7,6,1,4,2]=>[4,6,5,7,2,3,1]
[3,5,7,6,2,1,4]=>[4,7,6,5,3,1,2]
[3,5,7,6,2,4,1]=>[4,5,6,7,2,3,1]
[3,5,7,6,4,1,2]=>[3,5,6,7,4,2,1]
[3,5,7,6,4,2,1]=>[3,5,7,6,4,2,1]
[3,6,1,2,4,5,7]=>[4,3,5,1,6,2,7]
[3,6,1,2,4,7,5]=>[4,3,5,1,6,7,2]
[3,6,1,2,5,4,7]=>[4,3,6,1,5,2,7]
[3,6,1,2,5,7,4]=>[4,3,6,1,5,7,2]
[3,6,1,2,7,4,5]=>[4,3,7,1,6,5,2]
[3,6,1,2,7,5,4]=>[4,3,6,1,7,5,2]
[3,6,1,4,2,5,7]=>[5,3,6,4,1,2,7]
[3,6,1,4,2,7,5]=>[5,3,6,4,1,7,2]
[3,6,1,4,5,2,7]=>[5,3,2,6,4,1,7]
[3,6,1,4,5,7,2]=>[5,3,2,6,4,7,1]
[3,6,1,4,7,2,5]=>[7,3,5,4,6,1,2]
[3,6,1,4,7,5,2]=>[5,3,2,6,7,4,1]
[3,6,1,5,2,4,7]=>[5,3,4,6,1,2,7]
[3,6,1,5,2,7,4]=>[5,3,4,6,1,7,2]
[3,6,1,5,4,2,7]=>[6,3,2,5,4,1,7]
[3,6,1,5,4,7,2]=>[6,3,2,5,4,7,1]
[3,6,1,5,7,2,4]=>[7,3,4,5,6,1,2]
[3,6,1,5,7,4,2]=>[6,3,2,5,7,4,1]
[3,6,1,7,2,4,5]=>[6,3,7,5,1,4,2]
[3,6,1,7,2,5,4]=>[7,3,6,5,1,4,2]
[3,6,1,7,4,2,5]=>[5,3,4,6,7,1,2]
[3,6,1,7,4,5,2]=>[7,3,2,6,5,4,1]
[3,6,1,7,5,2,4]=>[7,3,4,6,5,1,2]
[3,6,1,7,5,4,2]=>[6,3,2,7,5,4,1]
[3,6,2,1,4,5,7]=>[3,4,5,1,6,2,7]
[3,6,2,1,4,7,5]=>[3,4,5,1,6,7,2]
[3,6,2,1,5,4,7]=>[3,4,6,1,5,2,7]
[3,6,2,1,5,7,4]=>[3,4,6,1,5,7,2]
[3,6,2,1,7,4,5]=>[3,4,7,1,6,5,2]
[3,6,2,1,7,5,4]=>[3,4,6,1,7,5,2]
[3,6,2,4,1,5,7]=>[5,4,6,3,1,2,7]
[3,6,2,4,1,7,5]=>[5,4,6,3,1,7,2]
[3,6,2,4,5,1,7]=>[5,4,2,6,3,1,7]
[3,6,2,4,5,7,1]=>[5,4,2,6,3,7,1]
[3,6,2,4,7,1,5]=>[7,4,5,3,6,1,2]
[3,6,2,4,7,5,1]=>[5,4,2,6,7,3,1]
[3,6,2,5,1,4,7]=>[5,6,4,3,1,2,7]
[3,6,2,5,1,7,4]=>[5,6,4,3,1,7,2]
[3,6,2,5,4,1,7]=>[6,4,2,5,3,1,7]
[3,6,2,5,4,7,1]=>[6,4,2,5,3,7,1]
[3,6,2,5,7,1,4]=>[7,5,4,3,6,1,2]
[3,6,2,5,7,4,1]=>[6,4,2,5,7,3,1]
[3,6,2,7,1,4,5]=>[3,6,7,5,1,4,2]
[3,6,2,7,1,5,4]=>[3,7,6,5,1,4,2]
[3,6,2,7,4,1,5]=>[5,7,4,6,3,1,2]
[3,6,2,7,4,5,1]=>[7,4,2,6,5,3,1]
[3,6,2,7,5,1,4]=>[7,5,4,6,3,1,2]
[3,6,2,7,5,4,1]=>[6,4,2,7,5,3,1]
[3,6,4,1,2,5,7]=>[3,4,5,6,1,2,7]
[3,6,4,1,2,7,5]=>[3,4,5,6,1,7,2]
[3,6,4,1,5,2,7]=>[6,4,5,2,3,1,7]
[3,6,4,1,5,7,2]=>[6,4,5,2,3,7,1]
[3,6,4,1,7,2,5]=>[3,4,7,5,6,1,2]
[3,6,4,1,7,5,2]=>[6,4,5,2,7,3,1]
[3,6,4,2,1,5,7]=>[3,5,4,6,1,2,7]
[3,6,4,2,1,7,5]=>[3,5,4,6,1,7,2]
[3,6,4,2,5,1,7]=>[6,5,4,2,3,1,7]
[3,6,4,2,5,7,1]=>[6,5,4,2,3,7,1]
[3,6,4,2,7,1,5]=>[3,7,4,5,6,1,2]
[3,6,4,2,7,5,1]=>[6,5,4,2,7,3,1]
[3,6,4,5,1,2,7]=>[3,6,5,4,2,1,7]
[3,6,4,5,1,7,2]=>[3,6,5,4,2,7,1]
[3,6,4,5,2,1,7]=>[3,5,6,4,2,1,7]
[3,6,4,5,2,7,1]=>[3,5,6,4,2,7,1]
[3,6,4,5,7,1,2]=>[3,5,7,4,6,2,1]
[3,6,4,5,7,2,1]=>[3,5,6,4,7,2,1]
[3,6,4,7,1,2,5]=>[3,6,7,5,4,1,2]
[3,6,4,7,1,5,2]=>[6,7,4,5,2,3,1]
[3,6,4,7,2,1,5]=>[3,5,7,6,4,1,2]
[3,6,4,7,2,5,1]=>[5,7,4,6,2,3,1]
[3,6,4,7,5,1,2]=>[3,5,7,6,4,2,1]
[3,6,4,7,5,2,1]=>[3,5,6,7,4,2,1]
[3,6,5,1,2,4,7]=>[6,4,5,3,1,2,7]
[3,6,5,1,2,7,4]=>[6,4,5,3,1,7,2]
[3,6,5,1,4,2,7]=>[5,4,6,2,3,1,7]
[3,6,5,1,4,7,2]=>[5,4,6,2,3,7,1]
[3,6,5,1,7,2,4]=>[5,4,7,3,6,1,2]
[3,6,5,1,7,4,2]=>[5,4,6,2,7,3,1]
[3,6,5,2,1,4,7]=>[6,5,4,3,1,2,7]
[3,6,5,2,1,7,4]=>[6,5,4,3,1,7,2]
[3,6,5,2,4,1,7]=>[4,5,6,2,3,1,7]
[3,6,5,2,4,7,1]=>[4,5,6,2,3,7,1]
[3,6,5,2,7,1,4]=>[5,7,4,3,6,1,2]
[3,6,5,2,7,4,1]=>[4,5,6,2,7,3,1]
[3,6,5,4,1,2,7]=>[3,5,6,4,2,1,7]
[3,6,5,4,1,7,2]=>[3,5,6,4,2,7,1]
[3,6,5,4,2,1,7]=>[3,6,5,4,2,1,7]
[3,6,5,4,2,7,1]=>[3,6,5,4,2,7,1]
[3,6,5,4,7,1,2]=>[3,7,5,4,6,2,1]
[3,6,5,4,7,2,1]=>[3,6,5,4,7,2,1]
[3,6,5,7,1,2,4]=>[4,6,7,5,3,1,2]
[3,6,5,7,1,4,2]=>[4,7,6,5,2,3,1]
[3,6,5,7,2,1,4]=>[4,5,7,6,3,1,2]
[3,6,5,7,2,4,1]=>[4,7,5,6,2,3,1]
[3,6,5,7,4,1,2]=>[3,7,5,6,4,2,1]
[3,6,5,7,4,2,1]=>[3,6,5,7,4,2,1]
[3,6,7,1,2,4,5]=>[6,5,4,7,1,3,2]
[3,6,7,1,2,5,4]=>[7,5,4,6,1,3,2]
[3,6,7,1,4,2,5]=>[5,6,4,3,7,1,2]
[3,6,7,1,4,5,2]=>[7,6,4,2,5,3,1]
[3,6,7,1,5,2,4]=>[7,6,4,3,5,1,2]
[3,6,7,1,5,4,2]=>[6,7,4,2,5,3,1]
[3,6,7,2,1,4,5]=>[6,4,5,7,1,3,2]
[3,6,7,2,1,5,4]=>[7,4,5,6,1,3,2]
[3,6,7,2,4,1,5]=>[4,6,5,3,7,1,2]
[3,6,7,2,4,5,1]=>[7,6,5,2,4,3,1]
[3,6,7,2,5,1,4]=>[4,6,7,3,5,1,2]
[3,6,7,2,5,4,1]=>[6,7,5,2,4,3,1]
[3,6,7,4,1,2,5]=>[7,6,5,4,3,1,2]
[3,6,7,4,1,5,2]=>[4,6,5,7,2,3,1]
[3,6,7,4,2,1,5]=>[7,5,6,4,3,1,2]
[3,6,7,4,2,5,1]=>[4,5,6,7,2,3,1]
[3,6,7,4,5,1,2]=>[3,6,7,5,4,2,1]
[3,6,7,4,5,2,1]=>[3,7,6,5,4,2,1]
[3,6,7,5,1,2,4]=>[4,6,5,7,3,1,2]
[3,6,7,5,1,4,2]=>[4,7,5,6,2,3,1]
[3,6,7,5,2,1,4]=>[4,5,6,7,3,1,2]
[3,6,7,5,2,4,1]=>[4,7,6,5,2,3,1]
[3,6,7,5,4,1,2]=>[3,7,6,5,4,2,1]
[3,6,7,5,4,2,1]=>[3,6,7,5,4,2,1]
[3,7,1,2,4,5,6]=>[4,3,5,1,6,7,2]
[3,7,1,2,4,6,5]=>[4,3,5,1,7,6,2]
[3,7,1,2,5,4,6]=>[4,3,6,1,5,7,2]
[3,7,1,2,5,6,4]=>[4,3,6,1,7,5,2]
[3,7,1,2,6,4,5]=>[4,3,6,1,7,5,2]
[3,7,1,2,6,5,4]=>[4,3,7,1,6,5,2]
[3,7,1,4,2,5,6]=>[5,3,6,4,1,7,2]
[3,7,1,4,2,6,5]=>[5,3,7,4,1,6,2]
[3,7,1,4,5,2,6]=>[5,3,7,6,4,1,2]
[3,7,1,4,5,6,2]=>[5,3,2,6,7,4,1]
[3,7,1,4,6,2,5]=>[7,3,5,6,4,1,2]
[3,7,1,4,6,5,2]=>[5,3,2,7,6,4,1]
[3,7,1,5,2,4,6]=>[5,3,4,6,1,7,2]
[3,7,1,5,2,6,4]=>[5,3,7,6,1,4,2]
[3,7,1,5,4,2,6]=>[6,3,7,5,4,1,2]
[3,7,1,5,4,6,2]=>[6,3,2,5,7,4,1]
[3,7,1,5,6,2,4]=>[7,3,4,6,5,1,2]
[3,7,1,5,6,4,2]=>[6,3,2,7,5,4,1]
[3,7,1,6,2,4,5]=>[5,3,7,6,1,4,2]
[3,7,1,6,2,5,4]=>[5,3,6,7,1,4,2]
[3,7,1,6,4,2,5]=>[6,3,4,5,7,1,2]
[3,7,1,6,4,5,2]=>[6,3,2,7,5,4,1]
[3,7,1,6,5,2,4]=>[6,3,4,7,5,1,2]
[3,7,1,6,5,4,2]=>[7,3,2,6,5,4,1]
[3,7,2,1,4,5,6]=>[3,4,5,1,6,7,2]
[3,7,2,1,4,6,5]=>[3,4,5,1,7,6,2]
[3,7,2,1,5,4,6]=>[3,4,6,1,5,7,2]
[3,7,2,1,5,6,4]=>[3,4,6,1,7,5,2]
[3,7,2,1,6,4,5]=>[3,4,6,1,7,5,2]
[3,7,2,1,6,5,4]=>[3,4,7,1,6,5,2]
[3,7,2,4,1,5,6]=>[5,4,6,3,1,7,2]
[3,7,2,4,1,6,5]=>[5,4,7,3,1,6,2]
[3,7,2,4,5,1,6]=>[5,4,7,6,3,1,2]
[3,7,2,4,5,6,1]=>[5,4,2,6,7,3,1]
[3,7,2,4,6,1,5]=>[7,4,5,6,3,1,2]
[3,7,2,4,6,5,1]=>[5,4,2,7,6,3,1]
[3,7,2,5,1,4,6]=>[5,6,4,3,1,7,2]
[3,7,2,5,1,6,4]=>[5,6,7,3,1,4,2]
[3,7,2,5,4,1,6]=>[6,4,7,5,3,1,2]
[3,7,2,5,4,6,1]=>[6,4,2,5,7,3,1]
[3,7,2,5,6,1,4]=>[7,5,4,6,3,1,2]
[3,7,2,5,6,4,1]=>[6,4,2,7,5,3,1]
[3,7,2,6,1,4,5]=>[5,6,7,3,1,4,2]
[3,7,2,6,1,5,4]=>[5,7,6,3,1,4,2]
[3,7,2,6,4,1,5]=>[6,7,4,5,3,1,2]
[3,7,2,6,4,5,1]=>[6,4,2,7,5,3,1]
[3,7,2,6,5,1,4]=>[6,5,4,7,3,1,2]
[3,7,2,6,5,4,1]=>[7,4,2,6,5,3,1]
[3,7,4,1,2,5,6]=>[3,4,5,6,1,7,2]
[3,7,4,1,2,6,5]=>[3,4,5,7,1,6,2]
[3,7,4,1,5,2,6]=>[6,4,5,7,3,1,2]
[3,7,4,1,5,6,2]=>[6,4,5,2,7,3,1]
[3,7,4,1,6,2,5]=>[6,4,7,5,3,1,2]
[3,7,4,1,6,5,2]=>[7,4,5,2,6,3,1]
[3,7,4,2,1,5,6]=>[3,5,4,6,1,7,2]
[3,7,4,2,1,6,5]=>[3,5,4,7,1,6,2]
[3,7,4,2,5,1,6]=>[6,5,4,7,3,1,2]
[3,7,4,2,5,6,1]=>[6,5,4,2,7,3,1]
[3,7,4,2,6,1,5]=>[6,7,4,5,3,1,2]
[3,7,4,2,6,5,1]=>[7,5,4,2,6,3,1]
[3,7,4,5,1,2,6]=>[3,6,5,4,7,1,2]
[3,7,4,5,1,6,2]=>[7,6,5,4,2,3,1]
[3,7,4,5,2,1,6]=>[3,5,6,4,7,1,2]
[3,7,4,5,2,6,1]=>[7,5,6,4,2,3,1]
[3,7,4,5,6,1,2]=>[3,5,7,6,4,2,1]
[3,7,4,5,6,2,1]=>[3,5,6,7,4,2,1]
[3,7,4,6,1,2,5]=>[3,6,5,7,4,1,2]
[3,7,4,6,1,5,2]=>[6,7,5,4,2,3,1]
[3,7,4,6,2,1,5]=>[3,5,6,7,4,1,2]
[3,7,4,6,2,5,1]=>[5,7,6,4,2,3,1]
[3,7,4,6,5,1,2]=>[3,5,6,7,4,2,1]
[3,7,4,6,5,2,1]=>[3,5,7,6,4,2,1]
[3,7,5,1,2,4,6]=>[6,4,5,3,1,7,2]
[3,7,5,1,2,6,4]=>[6,4,5,7,1,3,2]
[3,7,5,1,4,2,6]=>[5,4,6,7,3,1,2]
[3,7,5,1,4,6,2]=>[5,4,6,2,7,3,1]
[3,7,5,1,6,2,4]=>[6,4,7,3,5,1,2]
[3,7,5,1,6,4,2]=>[7,4,6,2,5,3,1]
[3,7,5,2,1,4,6]=>[6,5,4,3,1,7,2]
[3,7,5,2,1,6,4]=>[6,5,4,7,1,3,2]
[3,7,5,2,4,1,6]=>[4,5,6,7,3,1,2]
[3,7,5,2,4,6,1]=>[4,5,6,2,7,3,1]
[3,7,5,2,6,1,4]=>[6,7,4,3,5,1,2]
[3,7,5,2,6,4,1]=>[7,5,6,2,4,3,1]
[3,7,5,4,1,2,6]=>[3,5,6,4,7,1,2]
[3,7,5,4,1,6,2]=>[7,5,6,4,2,3,1]
[3,7,5,4,2,1,6]=>[3,6,5,4,7,1,2]
[3,7,5,4,2,6,1]=>[7,6,5,4,2,3,1]
[3,7,5,4,6,1,2]=>[3,7,5,6,4,2,1]
[3,7,5,4,6,2,1]=>[3,6,5,7,4,2,1]
[3,7,5,6,1,2,4]=>[4,6,5,7,3,1,2]
[3,7,5,6,1,4,2]=>[4,7,5,6,2,3,1]
[3,7,5,6,2,1,4]=>[4,5,6,7,3,1,2]
[3,7,5,6,2,4,1]=>[4,7,6,5,2,3,1]
[3,7,5,6,4,1,2]=>[3,7,6,5,4,2,1]
[3,7,5,6,4,2,1]=>[3,6,7,5,4,2,1]
[3,7,6,1,2,4,5]=>[6,4,5,7,1,3,2]
[3,7,6,1,2,5,4]=>[7,4,5,6,1,3,2]
[3,7,6,1,4,2,5]=>[5,4,6,3,7,1,2]
[3,7,6,1,4,5,2]=>[7,4,6,2,5,3,1]
[3,7,6,1,5,2,4]=>[7,4,6,3,5,1,2]
[3,7,6,1,5,4,2]=>[6,4,7,2,5,3,1]
[3,7,6,2,1,4,5]=>[6,5,4,7,1,3,2]
[3,7,6,2,1,5,4]=>[7,5,4,6,1,3,2]
[3,7,6,2,4,1,5]=>[4,5,6,3,7,1,2]
[3,7,6,2,4,5,1]=>[7,5,6,2,4,3,1]
[3,7,6,2,5,1,4]=>[4,7,6,3,5,1,2]
[3,7,6,2,5,4,1]=>[6,5,7,2,4,3,1]
[3,7,6,4,1,2,5]=>[7,5,6,4,3,1,2]
[3,7,6,4,1,5,2]=>[4,5,6,7,2,3,1]
[3,7,6,4,2,1,5]=>[7,6,5,4,3,1,2]
[3,7,6,4,2,5,1]=>[4,6,5,7,2,3,1]
[3,7,6,4,5,1,2]=>[3,7,6,5,4,2,1]
[3,7,6,4,5,2,1]=>[3,6,7,5,4,2,1]
[3,7,6,5,1,2,4]=>[4,5,6,7,3,1,2]
[3,7,6,5,1,4,2]=>[4,5,7,6,2,3,1]
[3,7,6,5,2,1,4]=>[4,6,5,7,3,1,2]
[3,7,6,5,2,4,1]=>[4,6,7,5,2,3,1]
[3,7,6,5,4,1,2]=>[3,6,7,5,4,2,1]
[3,7,6,5,4,2,1]=>[3,7,6,5,4,2,1]
[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6]
[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7]
[4,1,2,3,6,7,5]=>[2,3,4,1,6,7,5]
[4,1,2,3,7,5,6]=>[2,3,4,1,6,7,5]
[4,1,2,3,7,6,5]=>[2,3,4,1,7,6,5]
[4,1,2,5,3,6,7]=>[2,3,4,5,1,6,7]
[4,1,2,5,3,7,6]=>[2,3,4,5,1,7,6]
[4,1,2,5,6,3,7]=>[2,3,4,5,6,1,7]
[4,1,2,5,6,7,3]=>[2,3,4,5,6,7,1]
[4,1,2,5,7,3,6]=>[2,3,4,7,6,1,5]
[4,1,2,5,7,6,3]=>[2,3,4,5,7,6,1]
[4,1,2,6,3,5,7]=>[2,3,6,5,1,4,7]
[4,1,2,6,3,7,5]=>[2,3,6,5,1,7,4]
[4,1,2,6,5,3,7]=>[2,3,4,6,5,1,7]
[4,1,2,6,5,7,3]=>[2,3,4,6,5,7,1]
[4,1,2,6,7,3,5]=>[2,3,5,7,6,1,4]
[4,1,2,6,7,5,3]=>[2,3,4,6,7,5,1]
[4,1,2,7,3,5,6]=>[2,3,6,5,1,7,4]
[4,1,2,7,3,6,5]=>[2,3,7,5,1,6,4]
[4,1,2,7,5,3,6]=>[2,3,7,6,5,1,4]
[4,1,2,7,5,6,3]=>[2,3,4,6,7,5,1]
[4,1,2,7,6,3,5]=>[2,3,5,6,7,1,4]
[4,1,2,7,6,5,3]=>[2,3,4,7,6,5,1]
[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7]
[4,1,3,2,5,7,6]=>[2,4,3,1,5,7,6]
[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]
[4,1,3,2,6,7,5]=>[2,4,3,1,6,7,5]
[4,1,3,2,7,5,6]=>[2,4,3,1,6,7,5]
[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]
[4,1,3,5,2,6,7]=>[2,4,3,5,1,6,7]
[4,1,3,5,2,7,6]=>[2,4,3,5,1,7,6]
[4,1,3,5,6,2,7]=>[2,4,3,5,6,1,7]
[4,1,3,5,6,7,2]=>[2,4,3,5,6,7,1]
[4,1,3,5,7,2,6]=>[2,4,3,7,6,1,5]
[4,1,3,5,7,6,2]=>[2,4,3,5,7,6,1]
[4,1,3,6,2,5,7]=>[2,6,3,5,1,4,7]
[4,1,3,6,2,7,5]=>[2,6,3,5,1,7,4]
[4,1,3,6,5,2,7]=>[2,4,3,6,5,1,7]
[4,1,3,6,5,7,2]=>[2,4,3,6,5,7,1]
[4,1,3,6,7,2,5]=>[2,5,3,7,6,1,4]
[4,1,3,6,7,5,2]=>[2,4,3,6,7,5,1]
[4,1,3,7,2,5,6]=>[2,6,3,5,1,7,4]
[4,1,3,7,2,6,5]=>[2,7,3,5,1,6,4]
[4,1,3,7,5,2,6]=>[2,7,3,6,5,1,4]
[4,1,3,7,5,6,2]=>[2,4,3,6,7,5,1]
[4,1,3,7,6,2,5]=>[2,5,3,6,7,1,4]
[4,1,3,7,6,5,2]=>[2,4,3,7,6,5,1]
[4,1,5,2,3,6,7]=>[2,5,4,3,1,6,7]
[4,1,5,2,3,7,6]=>[2,5,4,3,1,7,6]
[4,1,5,2,6,3,7]=>[2,5,4,3,6,1,7]
[4,1,5,2,6,7,3]=>[2,5,4,3,6,7,1]
[4,1,5,2,7,3,6]=>[2,7,4,3,6,1,5]
[4,1,5,2,7,6,3]=>[2,5,4,3,7,6,1]
[4,1,5,3,2,6,7]=>[2,4,5,3,1,6,7]
[4,1,5,3,2,7,6]=>[2,4,5,3,1,7,6]
[4,1,5,3,6,2,7]=>[2,4,5,3,6,1,7]
[4,1,5,3,6,7,2]=>[2,4,5,3,6,7,1]
[4,1,5,3,7,2,6]=>[2,4,7,3,6,1,5]
[4,1,5,3,7,6,2]=>[2,4,5,3,7,6,1]
[4,1,5,6,2,3,7]=>[2,4,6,5,3,1,7]
[4,1,5,6,2,7,3]=>[2,4,6,5,3,7,1]
[4,1,5,6,3,2,7]=>[2,4,5,6,3,1,7]
[4,1,5,6,3,7,2]=>[2,4,5,6,3,7,1]
[4,1,5,6,7,2,3]=>[2,4,5,7,6,3,1]
[4,1,5,6,7,3,2]=>[2,4,5,6,7,3,1]
[4,1,5,7,2,3,6]=>[2,7,6,5,3,1,4]
[4,1,5,7,2,6,3]=>[2,4,7,5,3,6,1]
[4,1,5,7,3,2,6]=>[2,7,5,6,3,1,4]
[4,1,5,7,3,6,2]=>[2,4,7,6,3,5,1]
[4,1,5,7,6,2,3]=>[2,4,5,6,7,3,1]
[4,1,5,7,6,3,2]=>[2,4,5,7,6,3,1]
[4,1,6,2,3,5,7]=>[2,5,4,6,1,3,7]
[4,1,6,2,3,7,5]=>[2,5,4,6,1,7,3]
[4,1,6,2,5,3,7]=>[2,6,4,3,5,1,7]
[4,1,6,2,5,7,3]=>[2,6,4,3,5,7,1]
[4,1,6,2,7,3,5]=>[2,7,4,5,6,1,3]
[4,1,6,2,7,5,3]=>[2,6,4,3,7,5,1]
[4,1,6,3,2,5,7]=>[2,4,5,6,1,3,7]
[4,1,6,3,2,7,5]=>[2,4,5,6,1,7,3]
[4,1,6,3,5,2,7]=>[2,6,5,3,4,1,7]
[4,1,6,3,5,7,2]=>[2,6,5,3,4,7,1]
[4,1,6,3,7,2,5]=>[2,4,7,5,6,1,3]
[4,1,6,3,7,5,2]=>[2,6,5,3,7,4,1]
[4,1,6,5,2,3,7]=>[2,4,5,6,3,1,7]
[4,1,6,5,2,7,3]=>[2,4,5,6,3,7,1]
[4,1,6,5,3,2,7]=>[2,4,6,5,3,1,7]
[4,1,6,5,3,7,2]=>[2,4,6,5,3,7,1]
[4,1,6,5,7,2,3]=>[2,4,7,5,6,3,1]
[4,1,6,5,7,3,2]=>[2,4,6,5,7,3,1]
[4,1,6,7,2,3,5]=>[2,7,6,5,4,1,3]
[4,1,6,7,2,5,3]=>[2,6,7,5,3,4,1]
[4,1,6,7,3,2,5]=>[2,7,5,6,4,1,3]
[4,1,6,7,3,5,2]=>[2,5,7,6,3,4,1]
[4,1,6,7,5,2,3]=>[2,4,7,6,5,3,1]
[4,1,6,7,5,3,2]=>[2,4,6,7,5,3,1]
[4,1,7,2,3,5,6]=>[2,5,4,6,1,7,3]
[4,1,7,2,3,6,5]=>[2,5,4,7,1,6,3]
[4,1,7,2,5,3,6]=>[2,6,4,7,5,1,3]
[4,1,7,2,5,6,3]=>[2,6,4,3,7,5,1]
[4,1,7,2,6,3,5]=>[2,6,4,5,7,1,3]
[4,1,7,2,6,5,3]=>[2,7,4,3,6,5,1]
[4,1,7,3,2,5,6]=>[2,4,5,6,1,7,3]
[4,1,7,3,2,6,5]=>[2,4,5,7,1,6,3]
[4,1,7,3,5,2,6]=>[2,6,5,7,4,1,3]
[4,1,7,3,5,6,2]=>[2,6,5,3,7,4,1]
[4,1,7,3,6,2,5]=>[2,6,7,5,4,1,3]
[4,1,7,3,6,5,2]=>[2,7,5,3,6,4,1]
[4,1,7,5,2,3,6]=>[2,4,5,6,7,1,3]
[4,1,7,5,2,6,3]=>[2,7,5,6,3,4,1]
[4,1,7,5,3,2,6]=>[2,4,6,5,7,1,3]
[4,1,7,5,3,6,2]=>[2,7,6,5,3,4,1]
[4,1,7,5,6,2,3]=>[2,4,7,6,5,3,1]
[4,1,7,5,6,3,2]=>[2,4,6,7,5,3,1]
[4,1,7,6,2,3,5]=>[2,7,5,6,4,1,3]
[4,1,7,6,2,5,3]=>[2,6,5,7,3,4,1]
[4,1,7,6,3,2,5]=>[2,7,6,5,4,1,3]
[4,1,7,6,3,5,2]=>[2,5,6,7,3,4,1]
[4,1,7,6,5,2,3]=>[2,4,6,7,5,3,1]
[4,1,7,6,5,3,2]=>[2,4,7,6,5,3,1]
[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]
[4,2,1,3,5,7,6]=>[3,2,4,1,5,7,6]
[4,2,1,3,6,5,7]=>[3,2,4,1,6,5,7]
[4,2,1,3,6,7,5]=>[3,2,4,1,6,7,5]
[4,2,1,3,7,5,6]=>[3,2,4,1,6,7,5]
[4,2,1,3,7,6,5]=>[3,2,4,1,7,6,5]
[4,2,1,5,3,6,7]=>[3,2,4,5,1,6,7]
[4,2,1,5,3,7,6]=>[3,2,4,5,1,7,6]
[4,2,1,5,6,3,7]=>[3,2,4,5,6,1,7]
[4,2,1,5,6,7,3]=>[3,2,4,5,6,7,1]
[4,2,1,5,7,3,6]=>[3,2,4,7,6,1,5]
[4,2,1,5,7,6,3]=>[3,2,4,5,7,6,1]
[4,2,1,6,3,5,7]=>[3,2,6,5,1,4,7]
[4,2,1,6,3,7,5]=>[3,2,6,5,1,7,4]
[4,2,1,6,5,3,7]=>[3,2,4,6,5,1,7]
[4,2,1,6,5,7,3]=>[3,2,4,6,5,7,1]
[4,2,1,6,7,3,5]=>[3,2,5,7,6,1,4]
[4,2,1,6,7,5,3]=>[3,2,4,6,7,5,1]
[4,2,1,7,3,5,6]=>[3,2,6,5,1,7,4]
[4,2,1,7,3,6,5]=>[3,2,7,5,1,6,4]
[4,2,1,7,5,3,6]=>[3,2,7,6,5,1,4]
[4,2,1,7,5,6,3]=>[3,2,4,6,7,5,1]
[4,2,1,7,6,3,5]=>[3,2,5,6,7,1,4]
[4,2,1,7,6,5,3]=>[3,2,4,7,6,5,1]
[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6]
[4,2,3,1,6,5,7]=>[3,4,2,1,6,5,7]
[4,2,3,1,6,7,5]=>[3,4,2,1,6,7,5]
[4,2,3,1,7,5,6]=>[3,4,2,1,6,7,5]
[4,2,3,1,7,6,5]=>[3,4,2,1,7,6,5]
[4,2,3,5,1,6,7]=>[3,4,2,5,1,6,7]
[4,2,3,5,1,7,6]=>[3,4,2,5,1,7,6]
[4,2,3,5,6,1,7]=>[3,4,2,5,6,1,7]
[4,2,3,5,6,7,1]=>[3,4,2,5,6,7,1]
[4,2,3,5,7,1,6]=>[3,4,2,7,6,1,5]
[4,2,3,5,7,6,1]=>[3,4,2,5,7,6,1]
[4,2,3,6,1,5,7]=>[3,6,2,5,1,4,7]
[4,2,3,6,1,7,5]=>[3,6,2,5,1,7,4]
[4,2,3,6,5,1,7]=>[3,4,2,6,5,1,7]
[4,2,3,6,5,7,1]=>[3,4,2,6,5,7,1]
[4,2,3,6,7,1,5]=>[3,5,2,7,6,1,4]
[4,2,3,6,7,5,1]=>[3,4,2,6,7,5,1]
[4,2,3,7,1,5,6]=>[3,6,2,5,1,7,4]
[4,2,3,7,1,6,5]=>[3,7,2,5,1,6,4]
[4,2,3,7,5,1,6]=>[3,7,2,6,5,1,4]
[4,2,3,7,5,6,1]=>[3,4,2,6,7,5,1]
[4,2,3,7,6,1,5]=>[3,5,2,6,7,1,4]
[4,2,3,7,6,5,1]=>[3,4,2,7,6,5,1]
[4,2,5,1,3,6,7]=>[5,2,4,3,1,6,7]
[4,2,5,1,3,7,6]=>[5,2,4,3,1,7,6]
[4,2,5,1,6,3,7]=>[5,2,4,3,6,1,7]
[4,2,5,1,6,7,3]=>[5,2,4,3,6,7,1]
[4,2,5,1,7,3,6]=>[7,2,4,3,6,1,5]
[4,2,5,1,7,6,3]=>[5,2,4,3,7,6,1]
[4,2,5,3,1,6,7]=>[3,4,5,2,1,6,7]
[4,2,5,3,1,7,6]=>[3,4,5,2,1,7,6]
[4,2,5,3,6,1,7]=>[3,4,5,2,6,1,7]
[4,2,5,3,6,7,1]=>[3,4,5,2,6,7,1]
[4,2,5,3,7,1,6]=>[3,4,7,2,6,1,5]
[4,2,5,3,7,6,1]=>[3,4,5,2,7,6,1]
[4,2,5,6,1,3,7]=>[4,2,6,5,3,1,7]
[4,2,5,6,1,7,3]=>[4,2,6,5,3,7,1]
[4,2,5,6,3,1,7]=>[3,4,5,6,2,1,7]
[4,2,5,6,3,7,1]=>[3,4,5,6,2,7,1]
[4,2,5,6,7,1,3]=>[4,2,5,7,6,3,1]
[4,2,5,6,7,3,1]=>[3,4,5,6,7,2,1]
[4,2,5,7,1,3,6]=>[7,2,6,5,3,1,4]
[4,2,5,7,1,6,3]=>[4,2,7,5,3,6,1]
[4,2,5,7,3,1,6]=>[3,7,5,6,2,1,4]
[4,2,5,7,3,6,1]=>[3,4,7,6,2,5,1]
[4,2,5,7,6,1,3]=>[4,2,5,6,7,3,1]
[4,2,5,7,6,3,1]=>[3,4,5,7,6,2,1]
[4,2,6,1,3,5,7]=>[5,2,4,6,1,3,7]
[4,2,6,1,3,7,5]=>[5,2,4,6,1,7,3]
[4,2,6,1,5,3,7]=>[6,2,4,3,5,1,7]
[4,2,6,1,5,7,3]=>[6,2,4,3,5,7,1]
[4,2,6,1,7,3,5]=>[7,2,4,5,6,1,3]
[4,2,6,1,7,5,3]=>[6,2,4,3,7,5,1]
[4,2,6,3,1,5,7]=>[6,4,5,2,1,3,7]
[4,2,6,3,1,7,5]=>[6,4,5,2,1,7,3]
[4,2,6,3,5,1,7]=>[3,6,5,2,4,1,7]
[4,2,6,3,5,7,1]=>[3,6,5,2,4,7,1]
[4,2,6,3,7,1,5]=>[5,4,7,2,6,1,3]
[4,2,6,3,7,5,1]=>[3,6,5,2,7,4,1]
[4,2,6,5,1,3,7]=>[4,2,5,6,3,1,7]
[4,2,6,5,1,7,3]=>[4,2,5,6,3,7,1]
[4,2,6,5,3,1,7]=>[3,4,6,5,2,1,7]
[4,2,6,5,3,7,1]=>[3,4,6,5,2,7,1]
[4,2,6,5,7,1,3]=>[4,2,7,5,6,3,1]
[4,2,6,5,7,3,1]=>[3,4,6,5,7,2,1]
[4,2,6,7,1,3,5]=>[7,2,6,5,4,1,3]
[4,2,6,7,1,5,3]=>[6,2,7,5,3,4,1]
[4,2,6,7,3,1,5]=>[4,7,5,6,2,1,3]
[4,2,6,7,3,5,1]=>[3,5,7,6,2,4,1]
[4,2,6,7,5,1,3]=>[4,2,7,6,5,3,1]
[4,2,6,7,5,3,1]=>[3,4,6,7,5,2,1]
[4,2,7,1,3,5,6]=>[5,2,4,6,1,7,3]
[4,2,7,1,3,6,5]=>[5,2,4,7,1,6,3]
[4,2,7,1,5,3,6]=>[6,2,4,7,5,1,3]
[4,2,7,1,5,6,3]=>[6,2,4,3,7,5,1]
[4,2,7,1,6,3,5]=>[6,2,4,5,7,1,3]
[4,2,7,1,6,5,3]=>[7,2,4,3,6,5,1]
[4,2,7,3,1,5,6]=>[6,4,5,2,1,7,3]
[4,2,7,3,1,6,5]=>[7,4,5,2,1,6,3]
[4,2,7,3,5,1,6]=>[7,6,5,2,4,1,3]
[4,2,7,3,5,6,1]=>[3,6,5,2,7,4,1]
[4,2,7,3,6,1,5]=>[5,6,7,2,4,1,3]
[4,2,7,3,6,5,1]=>[3,7,5,2,6,4,1]
[4,2,7,5,1,3,6]=>[4,2,5,6,7,1,3]
[4,2,7,5,1,6,3]=>[7,2,5,6,3,4,1]
[4,2,7,5,3,1,6]=>[7,4,6,5,2,1,3]
[4,2,7,5,3,6,1]=>[3,7,6,5,2,4,1]
[4,2,7,5,6,1,3]=>[4,2,7,6,5,3,1]
[4,2,7,5,6,3,1]=>[3,4,6,7,5,2,1]
[4,2,7,6,1,3,5]=>[7,2,5,6,4,1,3]
[4,2,7,6,1,5,3]=>[6,2,5,7,3,4,1]
[4,2,7,6,3,1,5]=>[4,7,6,5,2,1,3]
[4,2,7,6,3,5,1]=>[3,5,6,7,2,4,1]
[4,2,7,6,5,1,3]=>[4,2,6,7,5,3,1]
[4,2,7,6,5,3,1]=>[3,4,7,6,5,2,1]
[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]
[4,3,1,2,5,7,6]=>[3,4,2,1,5,7,6]
[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7]
[4,3,1,2,6,7,5]=>[3,4,2,1,6,7,5]
[4,3,1,2,7,5,6]=>[3,4,2,1,6,7,5]
[4,3,1,2,7,6,5]=>[3,4,2,1,7,6,5]
[4,3,1,5,2,6,7]=>[3,4,2,5,1,6,7]
[4,3,1,5,2,7,6]=>[3,4,2,5,1,7,6]
[4,3,1,5,6,2,7]=>[3,4,2,5,6,1,7]
[4,3,1,5,6,7,2]=>[3,4,2,5,6,7,1]
[4,3,1,5,7,2,6]=>[3,4,2,7,6,1,5]
[4,3,1,5,7,6,2]=>[3,4,2,5,7,6,1]
[4,3,1,6,2,5,7]=>[3,6,2,5,1,4,7]
[4,3,1,6,2,7,5]=>[3,6,2,5,1,7,4]
[4,3,1,6,5,2,7]=>[3,4,2,6,5,1,7]
[4,3,1,6,5,7,2]=>[3,4,2,6,5,7,1]
[4,3,1,6,7,2,5]=>[3,5,2,7,6,1,4]
[4,3,1,6,7,5,2]=>[3,4,2,6,7,5,1]
[4,3,1,7,2,5,6]=>[3,6,2,5,1,7,4]
[4,3,1,7,2,6,5]=>[3,7,2,5,1,6,4]
[4,3,1,7,5,2,6]=>[3,7,2,6,5,1,4]
[4,3,1,7,5,6,2]=>[3,4,2,6,7,5,1]
[4,3,1,7,6,2,5]=>[3,5,2,6,7,1,4]
[4,3,1,7,6,5,2]=>[3,4,2,7,6,5,1]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]
[4,3,2,1,6,7,5]=>[4,3,2,1,6,7,5]
[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]
[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]
[4,3,2,5,1,7,6]=>[4,3,2,5,1,7,6]
[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]=>[4,3,2,7,6,1,5]
[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1]
[4,3,2,6,1,5,7]=>[6,3,2,5,1,4,7]
[4,3,2,6,1,7,5]=>[6,3,2,5,1,7,4]
[4,3,2,6,5,1,7]=>[4,3,2,6,5,1,7]
[4,3,2,6,5,7,1]=>[4,3,2,6,5,7,1]
[4,3,2,6,7,1,5]=>[5,3,2,7,6,1,4]
[4,3,2,6,7,5,1]=>[4,3,2,6,7,5,1]
[4,3,2,7,1,5,6]=>[6,3,2,5,1,7,4]
[4,3,2,7,1,6,5]=>[7,3,2,5,1,6,4]
[4,3,2,7,5,1,6]=>[7,3,2,6,5,1,4]
[4,3,2,7,5,6,1]=>[4,3,2,6,7,5,1]
[4,3,2,7,6,1,5]=>[5,3,2,6,7,1,4]
[4,3,2,7,6,5,1]=>[4,3,2,7,6,5,1]
[4,3,5,1,2,6,7]=>[5,3,4,2,1,6,7]
[4,3,5,1,2,7,6]=>[5,3,4,2,1,7,6]
[4,3,5,1,6,2,7]=>[5,3,4,2,6,1,7]
[4,3,5,1,6,7,2]=>[5,3,4,2,6,7,1]
[4,3,5,1,7,2,6]=>[7,3,4,2,6,1,5]
[4,3,5,1,7,6,2]=>[5,3,4,2,7,6,1]
[4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]
[4,3,5,2,1,7,6]=>[4,3,5,2,1,7,6]
[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]=>[4,3,7,2,6,1,5]
[4,3,5,2,7,6,1]=>[4,3,5,2,7,6,1]
[4,3,5,6,1,2,7]=>[4,3,6,5,2,1,7]
[4,3,5,6,1,7,2]=>[4,3,6,5,2,7,1]
[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]=>[4,3,5,7,6,2,1]
[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]
[4,3,5,7,1,2,6]=>[7,3,6,5,2,1,4]
[4,3,5,7,1,6,2]=>[4,3,7,5,2,6,1]
[4,3,5,7,2,1,6]=>[7,3,5,6,2,1,4]
[4,3,5,7,2,6,1]=>[4,3,7,6,2,5,1]
[4,3,5,7,6,1,2]=>[4,3,5,6,7,2,1]
[4,3,5,7,6,2,1]=>[4,3,5,7,6,2,1]
[4,3,6,1,2,5,7]=>[5,6,4,2,1,3,7]
[4,3,6,1,2,7,5]=>[5,6,4,2,1,7,3]
[4,3,6,1,5,2,7]=>[6,3,4,2,5,1,7]
[4,3,6,1,5,7,2]=>[6,3,4,2,5,7,1]
[4,3,6,1,7,2,5]=>[7,5,4,2,6,1,3]
[4,3,6,1,7,5,2]=>[6,3,4,2,7,5,1]
[4,3,6,2,1,5,7]=>[4,6,5,2,1,3,7]
[4,3,6,2,1,7,5]=>[4,6,5,2,1,7,3]
[4,3,6,2,5,1,7]=>[6,3,5,2,4,1,7]
[4,3,6,2,5,7,1]=>[6,3,5,2,4,7,1]
[4,3,6,2,7,1,5]=>[4,5,7,2,6,1,3]
[4,3,6,2,7,5,1]=>[6,3,5,2,7,4,1]
[4,3,6,5,1,2,7]=>[4,3,5,6,2,1,7]
[4,3,6,5,1,7,2]=>[4,3,5,6,2,7,1]
[4,3,6,5,2,1,7]=>[4,3,6,5,2,1,7]
[4,3,6,5,2,7,1]=>[4,3,6,5,2,7,1]
[4,3,6,5,7,1,2]=>[4,3,7,5,6,2,1]
[4,3,6,5,7,2,1]=>[4,3,6,5,7,2,1]
[4,3,6,7,1,2,5]=>[7,4,6,5,2,1,3]
[4,3,6,7,1,5,2]=>[6,3,7,5,2,4,1]
[4,3,6,7,2,1,5]=>[7,4,5,6,2,1,3]
[4,3,6,7,2,5,1]=>[5,3,7,6,2,4,1]
[4,3,6,7,5,1,2]=>[4,3,7,6,5,2,1]
[4,3,6,7,5,2,1]=>[4,3,6,7,5,2,1]
[4,3,7,1,2,5,6]=>[5,6,4,2,1,7,3]
[4,3,7,1,2,6,5]=>[5,7,4,2,1,6,3]
[4,3,7,1,5,2,6]=>[6,7,4,2,5,1,3]
[4,3,7,1,5,6,2]=>[6,3,4,2,7,5,1]
[4,3,7,1,6,2,5]=>[6,5,4,2,7,1,3]
[4,3,7,1,6,5,2]=>[7,3,4,2,6,5,1]
[4,3,7,2,1,5,6]=>[4,6,5,2,1,7,3]
[4,3,7,2,1,6,5]=>[4,7,5,2,1,6,3]
[4,3,7,2,5,1,6]=>[6,7,5,2,4,1,3]
[4,3,7,2,5,6,1]=>[6,3,5,2,7,4,1]
[4,3,7,2,6,1,5]=>[6,5,7,2,4,1,3]
[4,3,7,2,6,5,1]=>[7,3,5,2,6,4,1]
[4,3,7,5,1,2,6]=>[4,7,5,6,2,1,3]
[4,3,7,5,1,6,2]=>[7,3,5,6,2,4,1]
[4,3,7,5,2,1,6]=>[4,7,6,5,2,1,3]
[4,3,7,5,2,6,1]=>[7,3,6,5,2,4,1]
[4,3,7,5,6,1,2]=>[4,3,7,6,5,2,1]
[4,3,7,5,6,2,1]=>[4,3,6,7,5,2,1]
[4,3,7,6,1,2,5]=>[7,4,5,6,2,1,3]
[4,3,7,6,1,5,2]=>[6,3,5,7,2,4,1]
[4,3,7,6,2,1,5]=>[7,4,6,5,2,1,3]
[4,3,7,6,2,5,1]=>[5,3,6,7,2,4,1]
[4,3,7,6,5,1,2]=>[4,3,6,7,5,2,1]
[4,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]
[4,5,1,2,3,6,7]=>[4,3,5,2,1,6,7]
[4,5,1,2,3,7,6]=>[4,3,5,2,1,7,6]
[4,5,1,2,6,3,7]=>[4,3,5,2,6,1,7]
[4,5,1,2,6,7,3]=>[4,3,5,2,6,7,1]
[4,5,1,2,7,3,6]=>[4,3,7,2,6,1,5]
[4,5,1,2,7,6,3]=>[4,3,5,2,7,6,1]
[4,5,1,3,2,6,7]=>[5,3,4,2,1,6,7]
[4,5,1,3,2,7,6]=>[5,3,4,2,1,7,6]
[4,5,1,3,6,2,7]=>[5,3,4,2,6,1,7]
[4,5,1,3,6,7,2]=>[5,3,4,2,6,7,1]
[4,5,1,3,7,2,6]=>[7,3,4,2,6,1,5]
[4,5,1,3,7,6,2]=>[5,3,4,2,7,6,1]
[4,5,1,6,2,3,7]=>[6,3,4,5,2,1,7]
[4,5,1,6,2,7,3]=>[6,3,4,5,2,7,1]
[4,5,1,6,3,2,7]=>[5,3,4,6,2,1,7]
[4,5,1,6,3,7,2]=>[5,3,4,6,2,7,1]
[4,5,1,6,7,2,3]=>[5,3,4,7,6,2,1]
[4,5,1,6,7,3,2]=>[5,3,4,6,7,2,1]
[4,5,1,7,2,3,6]=>[6,3,7,5,2,1,4]
[4,5,1,7,2,6,3]=>[7,3,4,5,2,6,1]
[4,5,1,7,3,2,6]=>[5,3,7,6,2,1,4]
[4,5,1,7,3,6,2]=>[7,3,4,6,2,5,1]
[4,5,1,7,6,2,3]=>[5,3,4,6,7,2,1]
[4,5,1,7,6,3,2]=>[5,3,4,7,6,2,1]
[4,5,2,1,3,6,7]=>[3,4,5,2,1,6,7]
[4,5,2,1,3,7,6]=>[3,4,5,2,1,7,6]
[4,5,2,1,6,3,7]=>[3,4,5,2,6,1,7]
[4,5,2,1,6,7,3]=>[3,4,5,2,6,7,1]
[4,5,2,1,7,3,6]=>[3,4,7,2,6,1,5]
[4,5,2,1,7,6,3]=>[3,4,5,2,7,6,1]
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]
[4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]
[4,5,2,3,6,1,7]=>[5,4,3,2,6,1,7]
[4,5,2,3,6,7,1]=>[5,4,3,2,6,7,1]
[4,5,2,3,7,1,6]=>[7,4,3,2,6,1,5]
[4,5,2,3,7,6,1]=>[5,4,3,2,7,6,1]
[4,5,2,6,1,3,7]=>[3,6,4,5,2,1,7]
[4,5,2,6,1,7,3]=>[3,6,4,5,2,7,1]
[4,5,2,6,3,1,7]=>[5,4,3,6,2,1,7]
[4,5,2,6,3,7,1]=>[5,4,3,6,2,7,1]
[4,5,2,6,7,1,3]=>[3,5,4,7,6,2,1]
[4,5,2,6,7,3,1]=>[5,4,3,6,7,2,1]
[4,5,2,7,1,3,6]=>[3,6,7,5,2,1,4]
[4,5,2,7,1,6,3]=>[3,7,4,5,2,6,1]
[4,5,2,7,3,1,6]=>[5,7,3,6,2,1,4]
[4,5,2,7,3,6,1]=>[7,4,3,6,2,5,1]
[4,5,2,7,6,1,3]=>[3,5,4,6,7,2,1]
[4,5,2,7,6,3,1]=>[5,4,3,7,6,2,1]
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]
[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]
[4,5,3,1,6,2,7]=>[5,4,3,2,6,1,7]
[4,5,3,1,6,7,2]=>[5,4,3,2,6,7,1]
[4,5,3,1,7,2,6]=>[7,4,3,2,6,1,5]
[4,5,3,1,7,6,2]=>[5,4,3,2,7,6,1]
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]
[4,5,3,2,1,7,6]=>[4,5,3,2,1,7,6]
[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]=>[4,7,3,2,6,1,5]
[4,5,3,2,7,6,1]=>[4,5,3,2,7,6,1]
[4,5,3,6,1,2,7]=>[4,6,3,5,2,1,7]
[4,5,3,6,1,7,2]=>[4,6,3,5,2,7,1]
[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]=>[4,5,3,7,6,2,1]
[4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]
[4,5,3,7,1,2,6]=>[7,6,3,5,2,1,4]
[4,5,3,7,1,6,2]=>[4,7,3,5,2,6,1]
[4,5,3,7,2,1,6]=>[7,5,3,6,2,1,4]
[4,5,3,7,2,6,1]=>[4,7,3,6,2,5,1]
[4,5,3,7,6,1,2]=>[4,5,3,6,7,2,1]
[4,5,3,7,6,2,1]=>[4,5,3,7,6,2,1]
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]
[4,5,6,1,2,7,3]=>[6,5,4,3,2,7,1]
[4,5,6,1,3,2,7]=>[5,6,4,3,2,1,7]
[4,5,6,1,3,7,2]=>[5,6,4,3,2,7,1]
[4,5,6,1,7,2,3]=>[5,7,4,3,6,2,1]
[4,5,6,1,7,3,2]=>[5,6,4,3,7,2,1]
[4,5,6,2,1,3,7]=>[6,4,5,3,2,1,7]
[4,5,6,2,1,7,3]=>[6,4,5,3,2,7,1]
[4,5,6,2,3,1,7]=>[4,6,5,3,2,1,7]
[4,5,6,2,3,7,1]=>[4,6,5,3,2,7,1]
[4,5,6,2,7,1,3]=>[5,4,7,3,6,2,1]
[4,5,6,2,7,3,1]=>[4,6,5,3,7,2,1]
[4,5,6,3,1,2,7]=>[4,6,5,3,2,1,7]
[4,5,6,3,1,7,2]=>[4,6,5,3,2,7,1]
[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]=>[4,5,7,3,6,2,1]
[4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]
[4,5,6,7,1,2,3]=>[4,7,6,5,3,2,1]
[4,5,6,7,1,3,2]=>[4,6,7,5,3,2,1]
[4,5,6,7,2,1,3]=>[4,7,5,6,3,2,1]
[4,5,6,7,2,3,1]=>[4,5,7,6,3,2,1]
[4,5,6,7,3,1,2]=>[4,5,7,6,3,2,1]
[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]
[4,5,7,1,2,3,6]=>[6,5,4,7,2,1,3]
[4,5,7,1,2,6,3]=>[7,5,4,3,2,6,1]
[4,5,7,1,3,2,6]=>[5,6,4,7,2,1,3]
[4,5,7,1,3,6,2]=>[7,6,4,3,2,5,1]
[4,5,7,1,6,2,3]=>[5,6,4,3,7,2,1]
[4,5,7,1,6,3,2]=>[5,7,4,3,6,2,1]
[4,5,7,2,1,3,6]=>[6,4,5,7,2,1,3]
[4,5,7,2,1,6,3]=>[7,4,5,3,2,6,1]
[4,5,7,2,3,1,6]=>[4,6,5,7,2,1,3]
[4,5,7,2,3,6,1]=>[7,6,5,3,2,4,1]
[4,5,7,2,6,1,3]=>[5,6,7,3,4,2,1]
[4,5,7,2,6,3,1]=>[4,7,5,3,6,2,1]
[4,5,7,3,1,2,6]=>[4,6,5,7,2,1,3]
[4,5,7,3,1,6,2]=>[7,6,5,3,2,4,1]
[4,5,7,3,2,1,6]=>[4,5,6,7,2,1,3]
[4,5,7,3,2,6,1]=>[7,5,6,3,2,4,1]
[4,5,7,3,6,1,2]=>[4,6,7,3,5,2,1]
[4,5,7,3,6,2,1]=>[4,7,6,3,5,2,1]
[4,5,7,6,1,2,3]=>[4,7,5,6,3,2,1]
[4,5,7,6,1,3,2]=>[4,6,5,7,3,2,1]
[4,5,7,6,2,1,3]=>[4,7,6,5,3,2,1]
[4,5,7,6,2,3,1]=>[4,5,6,7,3,2,1]
[4,5,7,6,3,1,2]=>[4,5,6,7,3,2,1]
[4,5,7,6,3,2,1]=>[4,5,7,6,3,2,1]
[4,6,1,2,3,5,7]=>[4,3,5,6,1,2,7]
[4,6,1,2,3,7,5]=>[4,3,5,6,1,7,2]
[4,6,1,2,5,3,7]=>[4,3,6,2,5,1,7]
[4,6,1,2,5,7,3]=>[4,3,6,2,5,7,1]
[4,6,1,2,7,3,5]=>[4,3,7,5,6,1,2]
[4,6,1,2,7,5,3]=>[4,3,6,2,7,5,1]
[4,6,1,3,2,5,7]=>[5,3,4,6,1,2,7]
[4,6,1,3,2,7,5]=>[5,3,4,6,1,7,2]
[4,6,1,3,5,2,7]=>[5,3,6,2,4,1,7]
[4,6,1,3,5,7,2]=>[5,3,6,2,4,7,1]
[4,6,1,3,7,2,5]=>[7,3,4,5,6,1,2]
[4,6,1,3,7,5,2]=>[5,3,6,2,7,4,1]
[4,6,1,5,2,3,7]=>[5,3,4,6,2,1,7]
[4,6,1,5,2,7,3]=>[5,3,4,6,2,7,1]
[4,6,1,5,3,2,7]=>[6,3,4,5,2,1,7]
[4,6,1,5,3,7,2]=>[6,3,4,5,2,7,1]
[4,6,1,5,7,2,3]=>[7,3,4,5,6,2,1]
[4,6,1,5,7,3,2]=>[6,3,4,5,7,2,1]
[4,6,1,7,2,3,5]=>[6,3,7,5,4,1,2]
[4,6,1,7,2,5,3]=>[7,3,6,5,2,4,1]
[4,6,1,7,3,2,5]=>[5,3,7,6,4,1,2]
[4,6,1,7,3,5,2]=>[7,3,5,6,2,4,1]
[4,6,1,7,5,2,3]=>[7,3,4,6,5,2,1]
[4,6,1,7,5,3,2]=>[6,3,4,7,5,2,1]
[4,6,2,1,3,5,7]=>[3,4,5,6,1,2,7]
[4,6,2,1,3,7,5]=>[3,4,5,6,1,7,2]
[4,6,2,1,5,3,7]=>[3,4,6,2,5,1,7]
[4,6,2,1,5,7,3]=>[3,4,6,2,5,7,1]
[4,6,2,1,7,3,5]=>[3,4,7,5,6,1,2]
[4,6,2,1,7,5,3]=>[3,4,6,2,7,5,1]
[4,6,2,3,1,5,7]=>[5,4,3,6,1,2,7]
[4,6,2,3,1,7,5]=>[5,4,3,6,1,7,2]
[4,6,2,3,5,1,7]=>[5,4,6,2,3,1,7]
[4,6,2,3,5,7,1]=>[5,4,6,2,3,7,1]
[4,6,2,3,7,1,5]=>[7,4,3,5,6,1,2]
[4,6,2,3,7,5,1]=>[5,4,6,2,7,3,1]
[4,6,2,5,1,3,7]=>[5,6,4,3,2,1,7]
[4,6,2,5,1,7,3]=>[5,6,4,3,2,7,1]
[4,6,2,5,3,1,7]=>[6,4,3,5,2,1,7]
[4,6,2,5,3,7,1]=>[6,4,3,5,2,7,1]
[4,6,2,5,7,1,3]=>[7,5,4,3,6,2,1]
[4,6,2,5,7,3,1]=>[6,4,3,5,7,2,1]
[4,6,2,7,1,3,5]=>[3,6,7,5,4,1,2]
[4,6,2,7,1,5,3]=>[3,7,6,5,2,4,1]
[4,6,2,7,3,1,5]=>[5,7,3,6,4,1,2]
[4,6,2,7,3,5,1]=>[7,4,5,6,2,3,1]
[4,6,2,7,5,1,3]=>[7,5,4,6,3,2,1]
[4,6,2,7,5,3,1]=>[6,4,3,7,5,2,1]
[4,6,3,1,2,5,7]=>[5,4,3,6,1,2,7]
[4,6,3,1,2,7,5]=>[5,4,3,6,1,7,2]
[4,6,3,1,5,2,7]=>[5,4,6,2,3,1,7]
[4,6,3,1,5,7,2]=>[5,4,6,2,3,7,1]
[4,6,3,1,7,2,5]=>[7,4,3,5,6,1,2]
[4,6,3,1,7,5,2]=>[5,4,6,2,7,3,1]
[4,6,3,2,1,5,7]=>[4,5,3,6,1,2,7]
[4,6,3,2,1,7,5]=>[4,5,3,6,1,7,2]
[4,6,3,2,5,1,7]=>[4,5,6,2,3,1,7]
[4,6,3,2,5,7,1]=>[4,5,6,2,3,7,1]
[4,6,3,2,7,1,5]=>[4,7,3,5,6,1,2]
[4,6,3,2,7,5,1]=>[4,5,6,2,7,3,1]
[4,6,3,5,1,2,7]=>[5,6,3,4,2,1,7]
[4,6,3,5,1,7,2]=>[5,6,3,4,2,7,1]
[4,6,3,5,2,1,7]=>[6,5,3,4,2,1,7]
[4,6,3,5,2,7,1]=>[6,5,3,4,2,7,1]
[4,6,3,5,7,1,2]=>[7,5,3,4,6,2,1]
[4,6,3,5,7,2,1]=>[6,5,3,4,7,2,1]
[4,6,3,7,1,2,5]=>[7,6,3,5,4,1,2]
[4,6,3,7,1,5,2]=>[4,7,6,5,2,3,1]
[4,6,3,7,2,1,5]=>[7,5,3,6,4,1,2]
[4,6,3,7,2,5,1]=>[4,7,5,6,2,3,1]
[4,6,3,7,5,1,2]=>[7,5,3,6,4,2,1]
[4,6,3,7,5,2,1]=>[6,5,3,7,4,2,1]
[4,6,5,1,2,3,7]=>[6,4,5,3,2,1,7]
[4,6,5,1,2,7,3]=>[6,4,5,3,2,7,1]
[4,6,5,1,3,2,7]=>[5,4,6,3,2,1,7]
[4,6,5,1,3,7,2]=>[5,4,6,3,2,7,1]
[4,6,5,1,7,2,3]=>[5,4,7,3,6,2,1]
[4,6,5,1,7,3,2]=>[5,4,6,3,7,2,1]
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]
[4,6,5,2,1,7,3]=>[6,5,4,3,2,7,1]
[4,6,5,2,3,1,7]=>[4,5,6,3,2,1,7]
[4,6,5,2,3,7,1]=>[4,5,6,3,2,7,1]
[4,6,5,2,7,1,3]=>[5,7,4,3,6,2,1]
[4,6,5,2,7,3,1]=>[4,5,6,3,7,2,1]
[4,6,5,3,1,2,7]=>[4,5,6,3,2,1,7]
[4,6,5,3,1,7,2]=>[4,5,6,3,2,7,1]
[4,6,5,3,2,1,7]=>[4,6,5,3,2,1,7]
[4,6,5,3,2,7,1]=>[4,6,5,3,2,7,1]
[4,6,5,3,7,1,2]=>[4,7,5,3,6,2,1]
[4,6,5,3,7,2,1]=>[4,6,5,3,7,2,1]
[4,6,5,7,1,2,3]=>[4,6,7,5,3,2,1]
[4,6,5,7,1,3,2]=>[4,7,6,5,3,2,1]
[4,6,5,7,2,1,3]=>[4,5,7,6,3,2,1]
[4,6,5,7,2,3,1]=>[4,7,5,6,3,2,1]
[4,6,5,7,3,1,2]=>[4,7,5,6,3,2,1]
[4,6,5,7,3,2,1]=>[4,6,5,7,3,2,1]
[4,6,7,1,2,3,5]=>[6,5,4,7,3,1,2]
[4,6,7,1,2,5,3]=>[7,5,4,6,2,3,1]
[4,6,7,1,3,2,5]=>[5,6,4,7,3,1,2]
[4,6,7,1,3,5,2]=>[7,6,4,5,2,3,1]
[4,6,7,1,5,2,3]=>[7,6,4,3,5,2,1]
[4,6,7,1,5,3,2]=>[6,7,4,3,5,2,1]
[4,6,7,2,1,3,5]=>[6,4,5,7,3,1,2]
[4,6,7,2,1,5,3]=>[7,4,5,6,2,3,1]
[4,6,7,2,3,1,5]=>[4,6,5,7,3,1,2]
[4,6,7,2,3,5,1]=>[7,6,5,4,2,3,1]
[4,6,7,2,5,1,3]=>[4,6,7,3,5,2,1]
[4,6,7,2,5,3,1]=>[6,7,5,3,4,2,1]
[4,6,7,3,1,2,5]=>[4,6,5,7,3,1,2]
[4,6,7,3,1,5,2]=>[7,6,5,4,2,3,1]
[4,6,7,3,2,1,5]=>[4,5,6,7,3,1,2]
[4,6,7,3,2,5,1]=>[7,5,6,4,2,3,1]
[4,6,7,3,5,1,2]=>[5,6,7,3,4,2,1]
[4,6,7,3,5,2,1]=>[5,7,6,3,4,2,1]
[4,6,7,5,1,2,3]=>[4,6,5,7,3,2,1]
[4,6,7,5,1,3,2]=>[4,7,5,6,3,2,1]
[4,6,7,5,2,1,3]=>[4,5,6,7,3,2,1]
[4,6,7,5,2,3,1]=>[4,7,6,5,3,2,1]
[4,6,7,5,3,1,2]=>[4,7,6,5,3,2,1]
[4,6,7,5,3,2,1]=>[4,6,7,5,3,2,1]
[4,7,1,2,3,5,6]=>[4,3,5,6,1,7,2]
[4,7,1,2,3,6,5]=>[4,3,5,7,1,6,2]
[4,7,1,2,5,3,6]=>[4,3,6,7,5,1,2]
[4,7,1,2,5,6,3]=>[4,3,6,2,7,5,1]
[4,7,1,2,6,3,5]=>[4,3,6,5,7,1,2]
[4,7,1,2,6,5,3]=>[4,3,7,2,6,5,1]
[4,7,1,3,2,5,6]=>[5,3,4,6,1,7,2]
[4,7,1,3,2,6,5]=>[5,3,4,7,1,6,2]
[4,7,1,3,5,2,6]=>[5,3,6,7,4,1,2]
[4,7,1,3,5,6,2]=>[5,3,6,2,7,4,1]
[4,7,1,3,6,2,5]=>[7,3,6,5,4,1,2]
[4,7,1,3,6,5,2]=>[5,3,7,2,6,4,1]
[4,7,1,5,2,3,6]=>[5,3,4,6,7,1,2]
[4,7,1,5,2,6,3]=>[5,3,7,6,2,4,1]
[4,7,1,5,3,2,6]=>[6,3,4,5,7,1,2]
[4,7,1,5,3,6,2]=>[6,3,7,5,2,4,1]
[4,7,1,5,6,2,3]=>[7,3,4,6,5,2,1]
[4,7,1,5,6,3,2]=>[6,3,4,7,5,2,1]
[4,7,1,6,2,3,5]=>[5,3,7,6,4,1,2]
[4,7,1,6,2,5,3]=>[5,3,6,7,2,4,1]
[4,7,1,6,3,2,5]=>[6,3,7,5,4,1,2]
[4,7,1,6,3,5,2]=>[6,3,5,7,2,4,1]
[4,7,1,6,5,2,3]=>[6,3,4,7,5,2,1]
[4,7,1,6,5,3,2]=>[7,3,4,6,5,2,1]
[4,7,2,1,3,5,6]=>[3,4,5,6,1,7,2]
[4,7,2,1,3,6,5]=>[3,4,5,7,1,6,2]
[4,7,2,1,5,3,6]=>[3,4,6,7,5,1,2]
[4,7,2,1,5,6,3]=>[3,4,6,2,7,5,1]
[4,7,2,1,6,3,5]=>[3,4,6,5,7,1,2]
[4,7,2,1,6,5,3]=>[3,4,7,2,6,5,1]
[4,7,2,3,1,5,6]=>[5,4,3,6,1,7,2]
[4,7,2,3,1,6,5]=>[5,4,3,7,1,6,2]
[4,7,2,3,5,1,6]=>[5,4,6,7,3,1,2]
[4,7,2,3,5,6,1]=>[5,4,6,2,7,3,1]
[4,7,2,3,6,1,5]=>[7,4,6,5,3,1,2]
[4,7,2,3,6,5,1]=>[5,4,7,2,6,3,1]
[4,7,2,5,1,3,6]=>[5,6,4,3,7,1,2]
[4,7,2,5,1,6,3]=>[5,6,7,3,2,4,1]
[4,7,2,5,3,1,6]=>[6,4,3,5,7,1,2]
[4,7,2,5,3,6,1]=>[6,4,7,5,2,3,1]
[4,7,2,5,6,1,3]=>[7,5,4,6,3,2,1]
[4,7,2,5,6,3,1]=>[6,4,3,7,5,2,1]
[4,7,2,6,1,3,5]=>[5,6,7,3,4,1,2]
[4,7,2,6,1,5,3]=>[5,7,6,3,2,4,1]
[4,7,2,6,3,1,5]=>[6,7,3,5,4,1,2]
[4,7,2,6,3,5,1]=>[6,4,5,7,2,3,1]
[4,7,2,6,5,1,3]=>[6,5,4,7,3,2,1]
[4,7,2,6,5,3,1]=>[7,4,3,6,5,2,1]
[4,7,3,1,2,5,6]=>[5,4,3,6,1,7,2]
[4,7,3,1,2,6,5]=>[5,4,3,7,1,6,2]
[4,7,3,1,5,2,6]=>[5,4,6,7,3,1,2]
[4,7,3,1,5,6,2]=>[5,4,6,2,7,3,1]
[4,7,3,1,6,2,5]=>[7,4,6,5,3,1,2]
[4,7,3,1,6,5,2]=>[5,4,7,2,6,3,1]
[4,7,3,2,1,5,6]=>[4,5,3,6,1,7,2]
[4,7,3,2,1,6,5]=>[4,5,3,7,1,6,2]
[4,7,3,2,5,1,6]=>[4,5,6,7,3,1,2]
[4,7,3,2,5,6,1]=>[4,5,6,2,7,3,1]
[4,7,3,2,6,1,5]=>[4,7,6,5,3,1,2]
[4,7,3,2,6,5,1]=>[4,5,7,2,6,3,1]
[4,7,3,5,1,2,6]=>[5,6,3,4,7,1,2]
[4,7,3,5,1,6,2]=>[5,6,7,4,2,3,1]
[4,7,3,5,2,1,6]=>[6,5,3,4,7,1,2]
[4,7,3,5,2,6,1]=>[6,5,7,4,2,3,1]
[4,7,3,5,6,1,2]=>[7,5,3,6,4,2,1]
[4,7,3,5,6,2,1]=>[6,5,3,7,4,2,1]
[4,7,3,6,1,2,5]=>[5,6,3,7,4,1,2]
[4,7,3,6,1,5,2]=>[5,7,6,4,2,3,1]
[4,7,3,6,2,1,5]=>[6,5,3,7,4,1,2]
[4,7,3,6,2,5,1]=>[6,7,5,4,2,3,1]
[4,7,3,6,5,1,2]=>[6,5,3,7,4,2,1]
[4,7,3,6,5,2,1]=>[7,5,3,6,4,2,1]
[4,7,5,1,2,3,6]=>[6,4,5,3,7,1,2]
[4,7,5,1,2,6,3]=>[6,4,5,7,2,3,1]
[4,7,5,1,3,2,6]=>[5,4,6,3,7,1,2]
[4,7,5,1,3,6,2]=>[5,4,6,7,2,3,1]
[4,7,5,1,6,2,3]=>[6,4,7,3,5,2,1]
[4,7,5,1,6,3,2]=>[7,4,6,3,5,2,1]
[4,7,5,2,1,3,6]=>[6,5,4,3,7,1,2]
[4,7,5,2,1,6,3]=>[6,5,4,7,2,3,1]
[4,7,5,2,3,1,6]=>[4,5,6,3,7,1,2]
[4,7,5,2,3,6,1]=>[4,5,6,7,2,3,1]
[4,7,5,2,6,1,3]=>[6,7,4,3,5,2,1]
[4,7,5,2,6,3,1]=>[7,5,6,3,4,2,1]
[4,7,5,3,1,2,6]=>[4,5,6,3,7,1,2]
[4,7,5,3,1,6,2]=>[4,5,6,7,2,3,1]
[4,7,5,3,2,1,6]=>[4,6,5,3,7,1,2]
[4,7,5,3,2,6,1]=>[4,6,5,7,2,3,1]
[4,7,5,3,6,1,2]=>[6,7,5,3,4,2,1]
[4,7,5,3,6,2,1]=>[7,6,5,3,4,2,1]
[4,7,5,6,1,2,3]=>[4,6,5,7,3,2,1]
[4,7,5,6,1,3,2]=>[4,7,5,6,3,2,1]
[4,7,5,6,2,1,3]=>[4,5,6,7,3,2,1]
[4,7,5,6,2,3,1]=>[4,7,6,5,3,2,1]
[4,7,5,6,3,1,2]=>[4,7,6,5,3,2,1]
[4,7,5,6,3,2,1]=>[4,6,7,5,3,2,1]
[4,7,6,1,2,3,5]=>[6,4,5,7,3,1,2]
[4,7,6,1,2,5,3]=>[7,4,5,6,2,3,1]
[4,7,6,1,3,2,5]=>[5,4,6,7,3,1,2]
[4,7,6,1,3,5,2]=>[7,4,6,5,2,3,1]
[4,7,6,1,5,2,3]=>[7,4,6,3,5,2,1]
[4,7,6,1,5,3,2]=>[6,4,7,3,5,2,1]
[4,7,6,2,1,3,5]=>[6,5,4,7,3,1,2]
[4,7,6,2,1,5,3]=>[7,5,4,6,2,3,1]
[4,7,6,2,3,1,5]=>[4,5,6,7,3,1,2]
[4,7,6,2,3,5,1]=>[7,5,6,4,2,3,1]
[4,7,6,2,5,1,3]=>[4,7,6,3,5,2,1]
[4,7,6,2,5,3,1]=>[6,5,7,3,4,2,1]
[4,7,6,3,1,2,5]=>[4,5,6,7,3,1,2]
[4,7,6,3,1,5,2]=>[7,5,6,4,2,3,1]
[4,7,6,3,2,1,5]=>[4,6,5,7,3,1,2]
[4,7,6,3,2,5,1]=>[7,6,5,4,2,3,1]
[4,7,6,3,5,1,2]=>[5,7,6,3,4,2,1]
[4,7,6,3,5,2,1]=>[5,6,7,3,4,2,1]
[4,7,6,5,1,2,3]=>[4,5,6,7,3,2,1]
[4,7,6,5,1,3,2]=>[4,5,7,6,3,2,1]
[4,7,6,5,2,1,3]=>[4,6,5,7,3,2,1]
[4,7,6,5,2,3,1]=>[4,6,7,5,3,2,1]
[4,7,6,5,3,1,2]=>[4,6,7,5,3,2,1]
[4,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]
[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6]
[5,1,2,3,6,4,7]=>[2,3,4,5,6,1,7]
[5,1,2,3,6,7,4]=>[2,3,4,5,6,7,1]
[5,1,2,3,7,4,6]=>[2,3,4,7,6,1,5]
[5,1,2,3,7,6,4]=>[2,3,4,5,7,6,1]
[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7]
[5,1,2,4,3,7,6]=>[2,3,5,4,1,7,6]
[5,1,2,4,6,3,7]=>[2,3,5,4,6,1,7]
[5,1,2,4,6,7,3]=>[2,3,5,4,6,7,1]
[5,1,2,4,7,3,6]=>[2,3,7,4,6,1,5]
[5,1,2,4,7,6,3]=>[2,3,5,4,7,6,1]
[5,1,2,6,3,4,7]=>[2,3,6,5,4,1,7]
[5,1,2,6,3,7,4]=>[2,3,6,5,4,7,1]
[5,1,2,6,4,3,7]=>[2,3,5,6,4,1,7]
[5,1,2,6,4,7,3]=>[2,3,5,6,4,7,1]
[5,1,2,6,7,3,4]=>[2,3,5,7,6,4,1]
[5,1,2,6,7,4,3]=>[2,3,5,6,7,4,1]
[5,1,2,7,3,4,6]=>[2,3,6,5,7,1,4]
[5,1,2,7,3,6,4]=>[2,3,7,5,4,6,1]
[5,1,2,7,4,3,6]=>[2,3,5,6,7,1,4]
[5,1,2,7,4,6,3]=>[2,3,7,6,4,5,1]
[5,1,2,7,6,3,4]=>[2,3,5,6,7,4,1]
[5,1,2,7,6,4,3]=>[2,3,5,7,6,4,1]
[5,1,3,2,4,6,7]=>[2,4,3,5,1,6,7]
[5,1,3,2,4,7,6]=>[2,4,3,5,1,7,6]
[5,1,3,2,6,4,7]=>[2,4,3,5,6,1,7]
[5,1,3,2,6,7,4]=>[2,4,3,5,6,7,1]
[5,1,3,2,7,4,6]=>[2,4,3,7,6,1,5]
[5,1,3,2,7,6,4]=>[2,4,3,5,7,6,1]
[5,1,3,4,2,6,7]=>[2,4,5,3,1,6,7]
[5,1,3,4,2,7,6]=>[2,4,5,3,1,7,6]
[5,1,3,4,6,2,7]=>[2,4,5,3,6,1,7]
[5,1,3,4,6,7,2]=>[2,4,5,3,6,7,1]
[5,1,3,4,7,2,6]=>[2,4,7,3,6,1,5]
[5,1,3,4,7,6,2]=>[2,4,5,3,7,6,1]
[5,1,3,6,2,4,7]=>[2,6,3,5,4,1,7]
[5,1,3,6,2,7,4]=>[2,6,3,5,4,7,1]
[5,1,3,6,4,2,7]=>[2,4,5,6,3,1,7]
[5,1,3,6,4,7,2]=>[2,4,5,6,3,7,1]
[5,1,3,6,7,2,4]=>[2,5,3,7,6,4,1]
[5,1,3,6,7,4,2]=>[2,4,5,6,7,3,1]
[5,1,3,7,2,4,6]=>[2,6,3,5,7,1,4]
[5,1,3,7,2,6,4]=>[2,7,3,5,4,6,1]
[5,1,3,7,4,2,6]=>[2,7,5,6,3,1,4]
[5,1,3,7,4,6,2]=>[2,4,7,6,3,5,1]
[5,1,3,7,6,2,4]=>[2,5,3,6,7,4,1]
[5,1,3,7,6,4,2]=>[2,4,5,7,6,3,1]
[5,1,4,2,3,6,7]=>[2,4,5,3,1,6,7]
[5,1,4,2,3,7,6]=>[2,4,5,3,1,7,6]
[5,1,4,2,6,3,7]=>[2,4,5,3,6,1,7]
[5,1,4,2,6,7,3]=>[2,4,5,3,6,7,1]
[5,1,4,2,7,3,6]=>[2,4,7,3,6,1,5]
[5,1,4,2,7,6,3]=>[2,4,5,3,7,6,1]
[5,1,4,3,2,6,7]=>[2,5,4,3,1,6,7]
[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]
[5,1,4,3,6,2,7]=>[2,5,4,3,6,1,7]
[5,1,4,3,6,7,2]=>[2,5,4,3,6,7,1]
[5,1,4,3,7,2,6]=>[2,7,4,3,6,1,5]
[5,1,4,3,7,6,2]=>[2,5,4,3,7,6,1]
[5,1,4,6,2,3,7]=>[2,6,4,5,3,1,7]
[5,1,4,6,2,7,3]=>[2,6,4,5,3,7,1]
[5,1,4,6,3,2,7]=>[2,5,4,6,3,1,7]
[5,1,4,6,3,7,2]=>[2,5,4,6,3,7,1]
[5,1,4,6,7,2,3]=>[2,5,4,7,6,3,1]
[5,1,4,6,7,3,2]=>[2,5,4,6,7,3,1]
[5,1,4,7,2,3,6]=>[2,6,7,5,3,1,4]
[5,1,4,7,2,6,3]=>[2,7,4,5,3,6,1]
[5,1,4,7,3,2,6]=>[2,5,7,6,3,1,4]
[5,1,4,7,3,6,2]=>[2,7,4,6,3,5,1]
[5,1,4,7,6,2,3]=>[2,5,4,6,7,3,1]
[5,1,4,7,6,3,2]=>[2,5,4,7,6,3,1]
[5,1,6,2,3,4,7]=>[2,5,4,6,3,1,7]
[5,1,6,2,3,7,4]=>[2,5,4,6,3,7,1]
[5,1,6,2,4,3,7]=>[2,6,4,5,3,1,7]
[5,1,6,2,4,7,3]=>[2,6,4,5,3,7,1]
[5,1,6,2,7,3,4]=>[2,7,4,5,6,3,1]
[5,1,6,2,7,4,3]=>[2,6,4,5,7,3,1]
[5,1,6,3,2,4,7]=>[2,4,5,6,3,1,7]
[5,1,6,3,2,7,4]=>[2,4,5,6,3,7,1]
[5,1,6,3,4,2,7]=>[2,6,5,4,3,1,7]
[5,1,6,3,4,7,2]=>[2,6,5,4,3,7,1]
[5,1,6,3,7,2,4]=>[2,4,7,5,6,3,1]
[5,1,6,3,7,4,2]=>[2,6,5,4,7,3,1]
[5,1,6,4,2,3,7]=>[2,6,5,4,3,1,7]
[5,1,6,4,2,7,3]=>[2,6,5,4,3,7,1]
[5,1,6,4,3,2,7]=>[2,5,6,4,3,1,7]
[5,1,6,4,3,7,2]=>[2,5,6,4,3,7,1]
[5,1,6,4,7,2,3]=>[2,5,7,4,6,3,1]
[5,1,6,4,7,3,2]=>[2,5,6,4,7,3,1]
[5,1,6,7,2,3,4]=>[2,7,6,5,4,3,1]
[5,1,6,7,2,4,3]=>[2,6,7,5,4,3,1]
[5,1,6,7,3,2,4]=>[2,7,5,6,4,3,1]
[5,1,6,7,3,4,2]=>[2,5,7,6,4,3,1]
[5,1,6,7,4,2,3]=>[2,5,7,6,4,3,1]
[5,1,6,7,4,3,2]=>[2,5,6,7,4,3,1]
[5,1,7,2,3,4,6]=>[2,5,4,6,7,1,3]
[5,1,7,2,3,6,4]=>[2,5,4,7,3,6,1]
[5,1,7,2,4,3,6]=>[2,6,4,5,7,1,3]
[5,1,7,2,4,6,3]=>[2,6,4,7,3,5,1]
[5,1,7,2,6,3,4]=>[2,6,4,5,7,3,1]
[5,1,7,2,6,4,3]=>[2,7,4,5,6,3,1]
[5,1,7,3,2,4,6]=>[2,4,5,6,7,1,3]
[5,1,7,3,2,6,4]=>[2,4,5,7,3,6,1]
[5,1,7,3,4,2,6]=>[2,6,5,4,7,1,3]
[5,1,7,3,4,6,2]=>[2,6,5,7,3,4,1]
[5,1,7,3,6,2,4]=>[2,6,7,5,4,3,1]
[5,1,7,3,6,4,2]=>[2,7,5,4,6,3,1]
[5,1,7,4,2,3,6]=>[2,6,5,4,7,1,3]
[5,1,7,4,2,6,3]=>[2,6,5,7,3,4,1]
[5,1,7,4,3,2,6]=>[2,5,6,4,7,1,3]
[5,1,7,4,3,6,2]=>[2,5,6,7,3,4,1]
[5,1,7,4,6,2,3]=>[2,6,7,4,5,3,1]
[5,1,7,4,6,3,2]=>[2,7,6,4,5,3,1]
[5,1,7,6,2,3,4]=>[2,7,5,6,4,3,1]
[5,1,7,6,2,4,3]=>[2,6,5,7,4,3,1]
[5,1,7,6,3,2,4]=>[2,7,6,5,4,3,1]
[5,1,7,6,3,4,2]=>[2,5,6,7,4,3,1]
[5,1,7,6,4,2,3]=>[2,5,6,7,4,3,1]
[5,1,7,6,4,3,2]=>[2,5,7,6,4,3,1]
[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]
[5,2,1,3,4,7,6]=>[3,2,4,5,1,7,6]
[5,2,1,3,6,4,7]=>[3,2,4,5,6,1,7]
[5,2,1,3,6,7,4]=>[3,2,4,5,6,7,1]
[5,2,1,3,7,4,6]=>[3,2,4,7,6,1,5]
[5,2,1,3,7,6,4]=>[3,2,4,5,7,6,1]
[5,2,1,4,3,6,7]=>[3,2,5,4,1,6,7]
[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]
[5,2,1,4,6,3,7]=>[3,2,5,4,6,1,7]
[5,2,1,4,6,7,3]=>[3,2,5,4,6,7,1]
[5,2,1,4,7,3,6]=>[3,2,7,4,6,1,5]
[5,2,1,4,7,6,3]=>[3,2,5,4,7,6,1]
[5,2,1,6,3,4,7]=>[3,2,6,5,4,1,7]
[5,2,1,6,3,7,4]=>[3,2,6,5,4,7,1]
[5,2,1,6,4,3,7]=>[3,2,5,6,4,1,7]
[5,2,1,6,4,7,3]=>[3,2,5,6,4,7,1]
[5,2,1,6,7,3,4]=>[3,2,5,7,6,4,1]
[5,2,1,6,7,4,3]=>[3,2,5,6,7,4,1]
[5,2,1,7,3,4,6]=>[3,2,6,5,7,1,4]
[5,2,1,7,3,6,4]=>[3,2,7,5,4,6,1]
[5,2,1,7,4,3,6]=>[3,2,5,6,7,1,4]
[5,2,1,7,4,6,3]=>[3,2,7,6,4,5,1]
[5,2,1,7,6,3,4]=>[3,2,5,6,7,4,1]
[5,2,1,7,6,4,3]=>[3,2,5,7,6,4,1]
[5,2,3,1,4,6,7]=>[3,4,2,5,1,6,7]
[5,2,3,1,4,7,6]=>[3,4,2,5,1,7,6]
[5,2,3,1,6,4,7]=>[3,4,2,5,6,1,7]
[5,2,3,1,6,7,4]=>[3,4,2,5,6,7,1]
[5,2,3,1,7,4,6]=>[3,4,2,7,6,1,5]
[5,2,3,1,7,6,4]=>[3,4,2,5,7,6,1]
[5,2,3,4,1,6,7]=>[3,4,5,2,1,6,7]
[5,2,3,4,1,7,6]=>[3,4,5,2,1,7,6]
[5,2,3,4,6,1,7]=>[3,4,5,2,6,1,7]
[5,2,3,4,6,7,1]=>[3,4,5,2,6,7,1]
[5,2,3,4,7,1,6]=>[3,4,7,2,6,1,5]
[5,2,3,4,7,6,1]=>[3,4,5,2,7,6,1]
[5,2,3,6,1,4,7]=>[3,6,2,5,4,1,7]
[5,2,3,6,1,7,4]=>[3,6,2,5,4,7,1]
[5,2,3,6,4,1,7]=>[3,4,5,6,2,1,7]
[5,2,3,6,4,7,1]=>[3,4,5,6,2,7,1]
[5,2,3,6,7,1,4]=>[3,5,2,7,6,4,1]
[5,2,3,6,7,4,1]=>[3,4,5,6,7,2,1]
[5,2,3,7,1,4,6]=>[3,6,2,5,7,1,4]
[5,2,3,7,1,6,4]=>[3,7,2,5,4,6,1]
[5,2,3,7,4,1,6]=>[3,7,5,6,2,1,4]
[5,2,3,7,4,6,1]=>[3,4,7,6,2,5,1]
[5,2,3,7,6,1,4]=>[3,5,2,6,7,4,1]
[5,2,3,7,6,4,1]=>[3,4,5,7,6,2,1]
[5,2,4,1,3,6,7]=>[5,4,2,3,1,6,7]
[5,2,4,1,3,7,6]=>[5,4,2,3,1,7,6]
[5,2,4,1,6,3,7]=>[5,4,2,3,6,1,7]
[5,2,4,1,6,7,3]=>[5,4,2,3,6,7,1]
[5,2,4,1,7,3,6]=>[7,4,2,3,6,1,5]
[5,2,4,1,7,6,3]=>[5,4,2,3,7,6,1]
[5,2,4,3,1,6,7]=>[3,5,4,2,1,6,7]
[5,2,4,3,1,7,6]=>[3,5,4,2,1,7,6]
[5,2,4,3,6,1,7]=>[3,5,4,2,6,1,7]
[5,2,4,3,6,7,1]=>[3,5,4,2,6,7,1]
[5,2,4,3,7,1,6]=>[3,7,4,2,6,1,5]
[5,2,4,3,7,6,1]=>[3,5,4,2,7,6,1]
[5,2,4,6,1,3,7]=>[4,6,2,5,3,1,7]
[5,2,4,6,1,7,3]=>[4,6,2,5,3,7,1]
[5,2,4,6,3,1,7]=>[3,5,4,6,2,1,7]
[5,2,4,6,3,7,1]=>[3,5,4,6,2,7,1]
[5,2,4,6,7,1,3]=>[4,5,2,7,6,3,1]
[5,2,4,6,7,3,1]=>[3,5,4,6,7,2,1]
[5,2,4,7,1,3,6]=>[7,6,2,5,3,1,4]
[5,2,4,7,1,6,3]=>[4,7,2,5,3,6,1]
[5,2,4,7,3,1,6]=>[3,5,7,6,2,1,4]
[5,2,4,7,3,6,1]=>[3,7,4,6,2,5,1]
[5,2,4,7,6,1,3]=>[4,5,2,6,7,3,1]
[5,2,4,7,6,3,1]=>[3,5,4,7,6,2,1]
[5,2,6,1,3,4,7]=>[5,2,4,6,3,1,7]
[5,2,6,1,3,7,4]=>[5,2,4,6,3,7,1]
[5,2,6,1,4,3,7]=>[6,2,4,5,3,1,7]
[5,2,6,1,4,7,3]=>[6,2,4,5,3,7,1]
[5,2,6,1,7,3,4]=>[7,2,4,5,6,3,1]
[5,2,6,1,7,4,3]=>[6,2,4,5,7,3,1]
[5,2,6,3,1,4,7]=>[6,4,5,2,3,1,7]
[5,2,6,3,1,7,4]=>[6,4,5,2,3,7,1]
[5,2,6,3,4,1,7]=>[3,6,5,4,2,1,7]
[5,2,6,3,4,7,1]=>[3,6,5,4,2,7,1]
[5,2,6,3,7,1,4]=>[5,4,7,2,6,3,1]
[5,2,6,3,7,4,1]=>[3,6,5,4,7,2,1]
[5,2,6,4,1,3,7]=>[4,6,5,2,3,1,7]
[5,2,6,4,1,7,3]=>[4,6,5,2,3,7,1]
[5,2,6,4,3,1,7]=>[3,5,6,4,2,1,7]
[5,2,6,4,3,7,1]=>[3,5,6,4,2,7,1]
[5,2,6,4,7,1,3]=>[4,5,7,2,6,3,1]
[5,2,6,4,7,3,1]=>[3,5,6,4,7,2,1]
[5,2,6,7,1,3,4]=>[7,2,6,5,4,3,1]
[5,2,6,7,1,4,3]=>[6,2,7,5,4,3,1]
[5,2,6,7,3,1,4]=>[4,7,5,6,2,3,1]
[5,2,6,7,3,4,1]=>[3,5,7,6,4,2,1]
[5,2,6,7,4,1,3]=>[4,5,7,6,2,3,1]
[5,2,6,7,4,3,1]=>[3,5,6,7,4,2,1]
[5,2,7,1,3,4,6]=>[5,2,4,6,7,1,3]
[5,2,7,1,3,6,4]=>[5,2,4,7,3,6,1]
[5,2,7,1,4,3,6]=>[6,2,4,5,7,1,3]
[5,2,7,1,4,6,3]=>[6,2,4,7,3,5,1]
[5,2,7,1,6,3,4]=>[6,2,4,5,7,3,1]
[5,2,7,1,6,4,3]=>[7,2,4,5,6,3,1]
[5,2,7,3,1,4,6]=>[6,4,5,2,7,1,3]
[5,2,7,3,1,6,4]=>[7,4,5,2,3,6,1]
[5,2,7,3,4,1,6]=>[7,6,5,4,2,1,3]
[5,2,7,3,4,6,1]=>[3,6,5,7,2,4,1]
[5,2,7,3,6,1,4]=>[5,6,7,2,4,3,1]
[5,2,7,3,6,4,1]=>[3,7,5,4,6,2,1]
[5,2,7,4,1,3,6]=>[4,6,5,2,7,1,3]
[5,2,7,4,1,6,3]=>[7,6,5,2,3,4,1]
[5,2,7,4,3,1,6]=>[7,5,6,4,2,1,3]
[5,2,7,4,3,6,1]=>[3,5,6,7,2,4,1]
[5,2,7,4,6,1,3]=>[4,6,7,2,5,3,1]
[5,2,7,4,6,3,1]=>[3,7,6,4,5,2,1]
[5,2,7,6,1,3,4]=>[7,2,5,6,4,3,1]
[5,2,7,6,1,4,3]=>[6,2,5,7,4,3,1]
[5,2,7,6,3,1,4]=>[4,7,6,5,2,3,1]
[5,2,7,6,3,4,1]=>[3,5,6,7,4,2,1]
[5,2,7,6,4,1,3]=>[4,5,6,7,2,3,1]
[5,2,7,6,4,3,1]=>[3,5,7,6,4,2,1]
[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]
[5,3,1,2,4,7,6]=>[3,4,2,5,1,7,6]
[5,3,1,2,6,4,7]=>[3,4,2,5,6,1,7]
[5,3,1,2,6,7,4]=>[3,4,2,5,6,7,1]
[5,3,1,2,7,4,6]=>[3,4,2,7,6,1,5]
[5,3,1,2,7,6,4]=>[3,4,2,5,7,6,1]
[5,3,1,4,2,6,7]=>[3,4,5,2,1,6,7]
[5,3,1,4,2,7,6]=>[3,4,5,2,1,7,6]
[5,3,1,4,6,2,7]=>[3,4,5,2,6,1,7]
[5,3,1,4,6,7,2]=>[3,4,5,2,6,7,1]
[5,3,1,4,7,2,6]=>[3,4,7,2,6,1,5]
[5,3,1,4,7,6,2]=>[3,4,5,2,7,6,1]
[5,3,1,6,2,4,7]=>[3,6,2,5,4,1,7]
[5,3,1,6,2,7,4]=>[3,6,2,5,4,7,1]
[5,3,1,6,4,2,7]=>[3,4,5,6,2,1,7]
[5,3,1,6,4,7,2]=>[3,4,5,6,2,7,1]
[5,3,1,6,7,2,4]=>[3,5,2,7,6,4,1]
[5,3,1,6,7,4,2]=>[3,4,5,6,7,2,1]
[5,3,1,7,2,4,6]=>[3,6,2,5,7,1,4]
[5,3,1,7,2,6,4]=>[3,7,2,5,4,6,1]
[5,3,1,7,4,2,6]=>[3,7,5,6,2,1,4]
[5,3,1,7,4,6,2]=>[3,4,7,6,2,5,1]
[5,3,1,7,6,2,4]=>[3,5,2,6,7,4,1]
[5,3,1,7,6,4,2]=>[3,4,5,7,6,2,1]
[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]
[5,3,2,1,4,7,6]=>[4,3,2,5,1,7,6]
[5,3,2,1,6,4,7]=>[4,3,2,5,6,1,7]
[5,3,2,1,6,7,4]=>[4,3,2,5,6,7,1]
[5,3,2,1,7,4,6]=>[4,3,2,7,6,1,5]
[5,3,2,1,7,6,4]=>[4,3,2,5,7,6,1]
[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6]
[5,3,2,4,6,1,7]=>[4,3,5,2,6,1,7]
[5,3,2,4,6,7,1]=>[4,3,5,2,6,7,1]
[5,3,2,4,7,1,6]=>[4,3,7,2,6,1,5]
[5,3,2,4,7,6,1]=>[4,3,5,2,7,6,1]
[5,3,2,6,1,4,7]=>[6,3,2,5,4,1,7]
[5,3,2,6,1,7,4]=>[6,3,2,5,4,7,1]
[5,3,2,6,4,1,7]=>[4,3,5,6,2,1,7]
[5,3,2,6,4,7,1]=>[4,3,5,6,2,7,1]
[5,3,2,6,7,1,4]=>[5,3,2,7,6,4,1]
[5,3,2,6,7,4,1]=>[4,3,5,6,7,2,1]
[5,3,2,7,1,4,6]=>[6,3,2,5,7,1,4]
[5,3,2,7,1,6,4]=>[7,3,2,5,4,6,1]
[5,3,2,7,4,1,6]=>[7,3,5,6,2,1,4]
[5,3,2,7,4,6,1]=>[4,3,7,6,2,5,1]
[5,3,2,7,6,1,4]=>[5,3,2,6,7,4,1]
[5,3,2,7,6,4,1]=>[4,3,5,7,6,2,1]
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]
[5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]
[5,3,4,1,6,2,7]=>[5,4,3,2,6,1,7]
[5,3,4,1,6,7,2]=>[5,4,3,2,6,7,1]
[5,3,4,1,7,2,6]=>[7,4,3,2,6,1,5]
[5,3,4,1,7,6,2]=>[5,4,3,2,7,6,1]
[5,3,4,2,1,6,7]=>[4,5,3,2,1,6,7]
[5,3,4,2,1,7,6]=>[4,5,3,2,1,7,6]
[5,3,4,2,6,1,7]=>[4,5,3,2,6,1,7]
[5,3,4,2,6,7,1]=>[4,5,3,2,6,7,1]
[5,3,4,2,7,1,6]=>[4,7,3,2,6,1,5]
[5,3,4,2,7,6,1]=>[4,5,3,2,7,6,1]
[5,3,4,6,1,2,7]=>[4,6,3,5,2,1,7]
[5,3,4,6,1,7,2]=>[4,6,3,5,2,7,1]
[5,3,4,6,2,1,7]=>[4,5,3,6,2,1,7]
[5,3,4,6,2,7,1]=>[4,5,3,6,2,7,1]
[5,3,4,6,7,1,2]=>[4,5,3,7,6,2,1]
[5,3,4,6,7,2,1]=>[4,5,3,6,7,2,1]
[5,3,4,7,1,2,6]=>[7,6,3,5,2,1,4]
[5,3,4,7,1,6,2]=>[4,7,3,5,2,6,1]
[5,3,4,7,2,1,6]=>[7,5,3,6,2,1,4]
[5,3,4,7,2,6,1]=>[4,7,3,6,2,5,1]
[5,3,4,7,6,1,2]=>[4,5,3,6,7,2,1]
[5,3,4,7,6,2,1]=>[4,5,3,7,6,2,1]
[5,3,6,1,2,4,7]=>[5,6,4,2,3,1,7]
[5,3,6,1,2,7,4]=>[5,6,4,2,3,7,1]
[5,3,6,1,4,2,7]=>[6,3,4,5,2,1,7]
[5,3,6,1,4,7,2]=>[6,3,4,5,2,7,1]
[5,3,6,1,7,2,4]=>[7,5,4,2,6,3,1]
[5,3,6,1,7,4,2]=>[6,3,4,5,7,2,1]
[5,3,6,2,1,4,7]=>[4,6,5,2,3,1,7]
[5,3,6,2,1,7,4]=>[4,6,5,2,3,7,1]
[5,3,6,2,4,1,7]=>[6,3,5,4,2,1,7]
[5,3,6,2,4,7,1]=>[6,3,5,4,2,7,1]
[5,3,6,2,7,1,4]=>[4,5,7,2,6,3,1]
[5,3,6,2,7,4,1]=>[6,3,5,4,7,2,1]
[5,3,6,4,1,2,7]=>[4,6,5,3,2,1,7]
[5,3,6,4,1,7,2]=>[4,6,5,3,2,7,1]
[5,3,6,4,2,1,7]=>[4,5,6,3,2,1,7]
[5,3,6,4,2,7,1]=>[4,5,6,3,2,7,1]
[5,3,6,4,7,1,2]=>[4,5,7,3,6,2,1]
[5,3,6,4,7,2,1]=>[4,5,6,3,7,2,1]
[5,3,6,7,1,2,4]=>[7,4,6,5,2,3,1]
[5,3,6,7,1,4,2]=>[6,3,7,5,4,2,1]
[5,3,6,7,2,1,4]=>[7,4,5,6,2,3,1]
[5,3,6,7,2,4,1]=>[5,3,7,6,4,2,1]
[5,3,6,7,4,1,2]=>[4,5,7,6,3,2,1]
[5,3,6,7,4,2,1]=>[4,5,6,7,3,2,1]
[5,3,7,1,2,4,6]=>[5,6,4,2,7,1,3]
[5,3,7,1,2,6,4]=>[5,7,4,2,3,6,1]
[5,3,7,1,4,2,6]=>[6,7,4,5,2,1,3]
[5,3,7,1,4,6,2]=>[6,3,4,7,2,5,1]
[5,3,7,1,6,2,4]=>[6,5,4,2,7,3,1]
[5,3,7,1,6,4,2]=>[7,3,4,5,6,2,1]
[5,3,7,2,1,4,6]=>[4,6,5,2,7,1,3]
[5,3,7,2,1,6,4]=>[4,7,5,2,3,6,1]
[5,3,7,2,4,1,6]=>[6,7,5,4,2,1,3]
[5,3,7,2,4,6,1]=>[6,3,5,7,2,4,1]
[5,3,7,2,6,1,4]=>[6,5,7,2,4,3,1]
[5,3,7,2,6,4,1]=>[7,3,5,4,6,2,1]
[5,3,7,4,1,2,6]=>[4,6,5,7,2,1,3]
[5,3,7,4,1,6,2]=>[7,6,5,3,2,4,1]
[5,3,7,4,2,1,6]=>[4,5,6,7,2,1,3]
[5,3,7,4,2,6,1]=>[7,5,6,3,2,4,1]
[5,3,7,4,6,1,2]=>[4,6,7,3,5,2,1]
[5,3,7,4,6,2,1]=>[4,7,6,3,5,2,1]
[5,3,7,6,1,2,4]=>[7,4,5,6,2,3,1]
[5,3,7,6,1,4,2]=>[6,3,5,7,4,2,1]
[5,3,7,6,2,1,4]=>[7,4,6,5,2,3,1]
[5,3,7,6,2,4,1]=>[5,3,6,7,4,2,1]
[5,3,7,6,4,1,2]=>[4,5,6,7,3,2,1]
[5,3,7,6,4,2,1]=>[4,5,7,6,3,2,1]
[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]
[5,4,1,2,3,7,6]=>[3,4,5,2,1,7,6]
[5,4,1,2,6,3,7]=>[3,4,5,2,6,1,7]
[5,4,1,2,6,7,3]=>[3,4,5,2,6,7,1]
[5,4,1,2,7,3,6]=>[3,4,7,2,6,1,5]
[5,4,1,2,7,6,3]=>[3,4,5,2,7,6,1]
[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7]
[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]
[5,4,1,3,6,2,7]=>[3,5,4,2,6,1,7]
[5,4,1,3,6,7,2]=>[3,5,4,2,6,7,1]
[5,4,1,3,7,2,6]=>[3,7,4,2,6,1,5]
[5,4,1,3,7,6,2]=>[3,5,4,2,7,6,1]
[5,4,1,6,2,3,7]=>[3,6,4,5,2,1,7]
[5,4,1,6,2,7,3]=>[3,6,4,5,2,7,1]
[5,4,1,6,3,2,7]=>[3,5,4,6,2,1,7]
[5,4,1,6,3,7,2]=>[3,5,4,6,2,7,1]
[5,4,1,6,7,2,3]=>[3,5,4,7,6,2,1]
[5,4,1,6,7,3,2]=>[3,5,4,6,7,2,1]
[5,4,1,7,2,3,6]=>[3,6,7,5,2,1,4]
[5,4,1,7,2,6,3]=>[3,7,4,5,2,6,1]
[5,4,1,7,3,2,6]=>[3,5,7,6,2,1,4]
[5,4,1,7,3,6,2]=>[3,7,4,6,2,5,1]
[5,4,1,7,6,2,3]=>[3,5,4,6,7,2,1]
[5,4,1,7,6,3,2]=>[3,5,4,7,6,2,1]
[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]
[5,4,2,1,3,7,6]=>[4,3,5,2,1,7,6]
[5,4,2,1,6,3,7]=>[4,3,5,2,6,1,7]
[5,4,2,1,6,7,3]=>[4,3,5,2,6,7,1]
[5,4,2,1,7,3,6]=>[4,3,7,2,6,1,5]
[5,4,2,1,7,6,3]=>[4,3,5,2,7,6,1]
[5,4,2,3,1,6,7]=>[4,5,3,2,1,6,7]
[5,4,2,3,1,7,6]=>[4,5,3,2,1,7,6]
[5,4,2,3,6,1,7]=>[4,5,3,2,6,1,7]
[5,4,2,3,6,7,1]=>[4,5,3,2,6,7,1]
[5,4,2,3,7,1,6]=>[4,7,3,2,6,1,5]
[5,4,2,3,7,6,1]=>[4,5,3,2,7,6,1]
[5,4,2,6,1,3,7]=>[6,3,4,5,2,1,7]
[5,4,2,6,1,7,3]=>[6,3,4,5,2,7,1]
[5,4,2,6,3,1,7]=>[4,5,3,6,2,1,7]
[5,4,2,6,3,7,1]=>[4,5,3,6,2,7,1]
[5,4,2,6,7,1,3]=>[5,3,4,7,6,2,1]
[5,4,2,6,7,3,1]=>[4,5,3,6,7,2,1]
[5,4,2,7,1,3,6]=>[6,3,7,5,2,1,4]
[5,4,2,7,1,6,3]=>[7,3,4,5,2,6,1]
[5,4,2,7,3,1,6]=>[7,5,3,6,2,1,4]
[5,4,2,7,3,6,1]=>[4,7,3,6,2,5,1]
[5,4,2,7,6,1,3]=>[5,3,4,6,7,2,1]
[5,4,2,7,6,3,1]=>[4,5,3,7,6,2,1]
[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]
[5,4,3,1,2,7,6]=>[4,5,3,2,1,7,6]
[5,4,3,1,6,2,7]=>[4,5,3,2,6,1,7]
[5,4,3,1,6,7,2]=>[4,5,3,2,6,7,1]
[5,4,3,1,7,2,6]=>[4,7,3,2,6,1,5]
[5,4,3,1,7,6,2]=>[4,5,3,2,7,6,1]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]
[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]=>[7,4,3,2,6,1,5]
[5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]
[5,4,3,6,1,2,7]=>[6,4,3,5,2,1,7]
[5,4,3,6,1,7,2]=>[6,4,3,5,2,7,1]
[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]=>[5,4,3,7,6,2,1]
[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]
[5,4,3,7,1,2,6]=>[6,7,3,5,2,1,4]
[5,4,3,7,1,6,2]=>[7,4,3,5,2,6,1]
[5,4,3,7,2,1,6]=>[5,7,3,6,2,1,4]
[5,4,3,7,2,6,1]=>[7,4,3,6,2,5,1]
[5,4,3,7,6,1,2]=>[5,4,3,6,7,2,1]
[5,4,3,7,6,2,1]=>[5,4,3,7,6,2,1]
[5,4,6,1,2,3,7]=>[5,6,4,3,2,1,7]
[5,4,6,1,2,7,3]=>[5,6,4,3,2,7,1]
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]
[5,4,6,1,3,7,2]=>[6,5,4,3,2,7,1]
[5,4,6,1,7,2,3]=>[7,5,4,3,6,2,1]
[5,4,6,1,7,3,2]=>[6,5,4,3,7,2,1]
[5,4,6,2,1,3,7]=>[4,6,5,3,2,1,7]
[5,4,6,2,1,7,3]=>[4,6,5,3,2,7,1]
[5,4,6,2,3,1,7]=>[6,4,5,3,2,1,7]
[5,4,6,2,3,7,1]=>[6,4,5,3,2,7,1]
[5,4,6,2,7,1,3]=>[4,5,7,3,6,2,1]
[5,4,6,2,7,3,1]=>[6,4,5,3,7,2,1]
[5,4,6,3,1,2,7]=>[6,4,5,3,2,1,7]
[5,4,6,3,1,7,2]=>[6,4,5,3,2,7,1]
[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]=>[5,4,7,3,6,2,1]
[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]
[5,4,6,7,1,2,3]=>[7,4,6,5,3,2,1]
[5,4,6,7,1,3,2]=>[6,4,7,5,3,2,1]
[5,4,6,7,2,1,3]=>[7,4,5,6,3,2,1]
[5,4,6,7,2,3,1]=>[5,4,7,6,3,2,1]
[5,4,6,7,3,1,2]=>[5,4,7,6,3,2,1]
[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]
[5,4,7,1,2,3,6]=>[5,6,4,7,2,1,3]
[5,4,7,1,2,6,3]=>[5,7,4,3,2,6,1]
[5,4,7,1,3,2,6]=>[6,5,4,7,2,1,3]
[5,4,7,1,3,6,2]=>[6,7,4,3,2,5,1]
[5,4,7,1,6,2,3]=>[6,5,4,3,7,2,1]
[5,4,7,1,6,3,2]=>[7,5,4,3,6,2,1]
[5,4,7,2,1,3,6]=>[4,6,5,7,2,1,3]
[5,4,7,2,1,6,3]=>[4,7,5,3,2,6,1]
[5,4,7,2,3,1,6]=>[6,4,5,7,2,1,3]
[5,4,7,2,3,6,1]=>[6,7,5,3,2,4,1]
[5,4,7,2,6,1,3]=>[6,5,7,3,4,2,1]
[5,4,7,2,6,3,1]=>[7,4,5,3,6,2,1]
[5,4,7,3,1,2,6]=>[6,4,5,7,2,1,3]
[5,4,7,3,1,6,2]=>[6,7,5,3,2,4,1]
[5,4,7,3,2,1,6]=>[5,4,6,7,2,1,3]
[5,4,7,3,2,6,1]=>[5,7,6,3,2,4,1]
[5,4,7,3,6,1,2]=>[6,4,7,3,5,2,1]
[5,4,7,3,6,2,1]=>[7,4,6,3,5,2,1]
[5,4,7,6,1,2,3]=>[7,4,5,6,3,2,1]
[5,4,7,6,1,3,2]=>[6,4,5,7,3,2,1]
[5,4,7,6,2,1,3]=>[7,4,6,5,3,2,1]
[5,4,7,6,2,3,1]=>[5,4,6,7,3,2,1]
[5,4,7,6,3,1,2]=>[5,4,6,7,3,2,1]
[5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]
[5,6,1,2,3,4,7]=>[4,3,5,6,2,1,7]
[5,6,1,2,3,7,4]=>[4,3,5,6,2,7,1]
[5,6,1,2,4,3,7]=>[4,3,6,5,2,1,7]
[5,6,1,2,4,7,3]=>[4,3,6,5,2,7,1]
[5,6,1,2,7,3,4]=>[4,3,7,5,6,2,1]
[5,6,1,2,7,4,3]=>[4,3,6,5,7,2,1]
[5,6,1,3,2,4,7]=>[5,3,4,6,2,1,7]
[5,6,1,3,2,7,4]=>[5,3,4,6,2,7,1]
[5,6,1,3,4,2,7]=>[5,3,6,4,2,1,7]
[5,6,1,3,4,7,2]=>[5,3,6,4,2,7,1]
[5,6,1,3,7,2,4]=>[7,3,4,5,6,2,1]
[5,6,1,3,7,4,2]=>[5,3,6,4,7,2,1]
[5,6,1,4,2,3,7]=>[5,3,6,4,2,1,7]
[5,6,1,4,2,7,3]=>[5,3,6,4,2,7,1]
[5,6,1,4,3,2,7]=>[6,3,5,4,2,1,7]
[5,6,1,4,3,7,2]=>[6,3,5,4,2,7,1]
[5,6,1,4,7,2,3]=>[7,3,5,4,6,2,1]
[5,6,1,4,7,3,2]=>[6,3,5,4,7,2,1]
[5,6,1,7,2,3,4]=>[6,3,7,5,4,2,1]
[5,6,1,7,2,4,3]=>[7,3,6,5,4,2,1]
[5,6,1,7,3,2,4]=>[5,3,7,6,4,2,1]
[5,6,1,7,3,4,2]=>[7,3,5,6,4,2,1]
[5,6,1,7,4,2,3]=>[7,3,5,6,4,2,1]
[5,6,1,7,4,3,2]=>[6,3,5,7,4,2,1]
[5,6,2,1,3,4,7]=>[3,4,5,6,2,1,7]
[5,6,2,1,3,7,4]=>[3,4,5,6,2,7,1]
[5,6,2,1,4,3,7]=>[3,4,6,5,2,1,7]
[5,6,2,1,4,7,3]=>[3,4,6,5,2,7,1]
[5,6,2,1,7,3,4]=>[3,4,7,5,6,2,1]
[5,6,2,1,7,4,3]=>[3,4,6,5,7,2,1]
[5,6,2,3,1,4,7]=>[5,4,3,6,2,1,7]
[5,6,2,3,1,7,4]=>[5,4,3,6,2,7,1]
[5,6,2,3,4,1,7]=>[5,4,6,3,2,1,7]
[5,6,2,3,4,7,1]=>[5,4,6,3,2,7,1]
[5,6,2,3,7,1,4]=>[7,4,3,5,6,2,1]
[5,6,2,3,7,4,1]=>[5,4,6,3,7,2,1]
[5,6,2,4,1,3,7]=>[5,6,3,4,2,1,7]
[5,6,2,4,1,7,3]=>[5,6,3,4,2,7,1]
[5,6,2,4,3,1,7]=>[6,4,5,3,2,1,7]
[5,6,2,4,3,7,1]=>[6,4,5,3,2,7,1]
[5,6,2,4,7,1,3]=>[7,5,3,4,6,2,1]
[5,6,2,4,7,3,1]=>[6,4,5,3,7,2,1]
[5,6,2,7,1,3,4]=>[3,6,7,5,4,2,1]
[5,6,2,7,1,4,3]=>[3,7,6,5,4,2,1]
[5,6,2,7,3,1,4]=>[5,7,3,6,4,2,1]
[5,6,2,7,3,4,1]=>[7,4,5,6,3,2,1]
[5,6,2,7,4,1,3]=>[7,5,3,6,4,2,1]
[5,6,2,7,4,3,1]=>[6,4,5,7,3,2,1]
[5,6,3,1,2,4,7]=>[5,4,3,6,2,1,7]
[5,6,3,1,2,7,4]=>[5,4,3,6,2,7,1]
[5,6,3,1,4,2,7]=>[5,4,6,3,2,1,7]
[5,6,3,1,4,7,2]=>[5,4,6,3,2,7,1]
[5,6,3,1,7,2,4]=>[7,4,3,5,6,2,1]
[5,6,3,1,7,4,2]=>[5,4,6,3,7,2,1]
[5,6,3,2,1,4,7]=>[4,5,3,6,2,1,7]
[5,6,3,2,1,7,4]=>[4,5,3,6,2,7,1]
[5,6,3,2,4,1,7]=>[4,5,6,3,2,1,7]
[5,6,3,2,4,7,1]=>[4,5,6,3,2,7,1]
[5,6,3,2,7,1,4]=>[4,7,3,5,6,2,1]
[5,6,3,2,7,4,1]=>[4,5,6,3,7,2,1]
[5,6,3,4,1,2,7]=>[5,6,4,3,2,1,7]
[5,6,3,4,1,7,2]=>[5,6,4,3,2,7,1]
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]
[5,6,3,4,2,7,1]=>[6,5,4,3,2,7,1]
[5,6,3,4,7,1,2]=>[7,5,4,3,6,2,1]
[5,6,3,4,7,2,1]=>[6,5,4,3,7,2,1]
[5,6,3,7,1,2,4]=>[7,6,3,5,4,2,1]
[5,6,3,7,1,4,2]=>[4,7,6,5,3,2,1]
[5,6,3,7,2,1,4]=>[7,5,3,6,4,2,1]
[5,6,3,7,2,4,1]=>[4,7,5,6,3,2,1]
[5,6,3,7,4,1,2]=>[7,5,4,6,3,2,1]
[5,6,3,7,4,2,1]=>[6,5,4,7,3,2,1]
[5,6,4,1,2,3,7]=>[5,4,6,3,2,1,7]
[5,6,4,1,2,7,3]=>[5,4,6,3,2,7,1]
[5,6,4,1,3,2,7]=>[6,4,5,3,2,1,7]
[5,6,4,1,3,7,2]=>[6,4,5,3,2,7,1]
[5,6,4,1,7,2,3]=>[7,4,5,3,6,2,1]
[5,6,4,1,7,3,2]=>[6,4,5,3,7,2,1]
[5,6,4,2,1,3,7]=>[4,5,6,3,2,1,7]
[5,6,4,2,1,7,3]=>[4,5,6,3,2,7,1]
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]
[5,6,4,2,3,7,1]=>[6,5,4,3,2,7,1]
[5,6,4,2,7,1,3]=>[4,7,5,3,6,2,1]
[5,6,4,2,7,3,1]=>[6,5,4,3,7,2,1]
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]
[5,6,4,3,1,7,2]=>[6,5,4,3,2,7,1]
[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]=>[5,7,4,3,6,2,1]
[5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]
[5,6,4,7,1,2,3]=>[7,6,4,5,3,2,1]
[5,6,4,7,1,3,2]=>[6,7,4,5,3,2,1]
[5,6,4,7,2,1,3]=>[7,5,4,6,3,2,1]
[5,6,4,7,2,3,1]=>[5,7,4,6,3,2,1]
[5,6,4,7,3,1,2]=>[5,7,4,6,3,2,1]
[5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]
[5,6,7,1,2,3,4]=>[6,5,4,7,3,2,1]
[5,6,7,1,2,4,3]=>[7,5,4,6,3,2,1]
[5,6,7,1,3,2,4]=>[5,6,4,7,3,2,1]
[5,6,7,1,3,4,2]=>[7,6,4,5,3,2,1]
[5,6,7,1,4,2,3]=>[7,6,4,5,3,2,1]
[5,6,7,1,4,3,2]=>[6,7,4,5,3,2,1]
[5,6,7,2,1,3,4]=>[6,4,5,7,3,2,1]
[5,6,7,2,1,4,3]=>[7,4,5,6,3,2,1]
[5,6,7,2,3,1,4]=>[4,6,5,7,3,2,1]
[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]
[5,6,7,2,4,1,3]=>[4,6,7,5,3,2,1]
[5,6,7,2,4,3,1]=>[6,7,5,4,3,2,1]
[5,6,7,3,1,2,4]=>[4,6,5,7,3,2,1]
[5,6,7,3,1,4,2]=>[7,6,5,4,3,2,1]
[5,6,7,3,2,1,4]=>[4,5,6,7,3,2,1]
[5,6,7,3,2,4,1]=>[7,5,6,4,3,2,1]
[5,6,7,3,4,1,2]=>[5,6,7,4,3,2,1]
[5,6,7,3,4,2,1]=>[5,7,6,4,3,2,1]
[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]
[5,6,7,4,1,3,2]=>[6,7,5,4,3,2,1]
[5,6,7,4,2,1,3]=>[7,5,6,4,3,2,1]
[5,6,7,4,2,3,1]=>[5,7,6,4,3,2,1]
[5,6,7,4,3,1,2]=>[5,7,6,4,3,2,1]
[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]
[5,7,1,2,3,4,6]=>[4,3,5,6,7,1,2]
[5,7,1,2,3,6,4]=>[4,3,5,7,2,6,1]
[5,7,1,2,4,3,6]=>[4,3,6,5,7,1,2]
[5,7,1,2,4,6,3]=>[4,3,6,7,2,5,1]
[5,7,1,2,6,3,4]=>[4,3,6,5,7,2,1]
[5,7,1,2,6,4,3]=>[4,3,7,5,6,2,1]
[5,7,1,3,2,4,6]=>[5,3,4,6,7,1,2]
[5,7,1,3,2,6,4]=>[5,3,4,7,2,6,1]
[5,7,1,3,4,2,6]=>[5,3,6,4,7,1,2]
[5,7,1,3,4,6,2]=>[5,3,6,7,2,4,1]
[5,7,1,3,6,2,4]=>[7,3,6,5,4,2,1]
[5,7,1,3,6,4,2]=>[5,3,7,4,6,2,1]
[5,7,1,4,2,3,6]=>[5,3,6,4,7,1,2]
[5,7,1,4,2,6,3]=>[5,3,6,7,2,4,1]
[5,7,1,4,3,2,6]=>[6,3,5,4,7,1,2]
[5,7,1,4,3,6,2]=>[6,3,5,7,2,4,1]
[5,7,1,4,6,2,3]=>[7,3,6,4,5,2,1]
[5,7,1,4,6,3,2]=>[6,3,7,4,5,2,1]
[5,7,1,6,2,3,4]=>[5,3,7,6,4,2,1]
[5,7,1,6,2,4,3]=>[5,3,6,7,4,2,1]
[5,7,1,6,3,2,4]=>[6,3,7,5,4,2,1]
[5,7,1,6,3,4,2]=>[6,3,5,7,4,2,1]
[5,7,1,6,4,2,3]=>[6,3,5,7,4,2,1]
[5,7,1,6,4,3,2]=>[7,3,5,6,4,2,1]
[5,7,2,1,3,4,6]=>[3,4,5,6,7,1,2]
[5,7,2,1,3,6,4]=>[3,4,5,7,2,6,1]
[5,7,2,1,4,3,6]=>[3,4,6,5,7,1,2]
[5,7,2,1,4,6,3]=>[3,4,6,7,2,5,1]
[5,7,2,1,6,3,4]=>[3,4,6,5,7,2,1]
[5,7,2,1,6,4,3]=>[3,4,7,5,6,2,1]
[5,7,2,3,1,4,6]=>[5,4,3,6,7,1,2]
[5,7,2,3,1,6,4]=>[5,4,3,7,2,6,1]
[5,7,2,3,4,1,6]=>[5,4,6,3,7,1,2]
[5,7,2,3,4,6,1]=>[5,4,6,7,2,3,1]
[5,7,2,3,6,1,4]=>[7,4,6,5,3,2,1]
[5,7,2,3,6,4,1]=>[5,4,7,3,6,2,1]
[5,7,2,4,1,3,6]=>[5,6,3,4,7,1,2]
[5,7,2,4,1,6,3]=>[5,6,3,7,2,4,1]
[5,7,2,4,3,1,6]=>[6,4,5,3,7,1,2]
[5,7,2,4,3,6,1]=>[6,4,5,7,2,3,1]
[5,7,2,4,6,1,3]=>[7,5,6,4,3,2,1]
[5,7,2,4,6,3,1]=>[6,4,7,3,5,2,1]
[5,7,2,6,1,3,4]=>[5,6,7,3,4,2,1]
[5,7,2,6,1,4,3]=>[5,7,6,3,4,2,1]
[5,7,2,6,3,1,4]=>[6,7,3,5,4,2,1]
[5,7,2,6,3,4,1]=>[6,4,5,7,3,2,1]
[5,7,2,6,4,1,3]=>[6,5,3,7,4,2,1]
[5,7,2,6,4,3,1]=>[7,4,5,6,3,2,1]
[5,7,3,1,2,4,6]=>[5,4,3,6,7,1,2]
[5,7,3,1,2,6,4]=>[5,4,3,7,2,6,1]
[5,7,3,1,4,2,6]=>[5,4,6,3,7,1,2]
[5,7,3,1,4,6,2]=>[5,4,6,7,2,3,1]
[5,7,3,1,6,2,4]=>[7,4,6,5,3,2,1]
[5,7,3,1,6,4,2]=>[5,4,7,3,6,2,1]
[5,7,3,2,1,4,6]=>[4,5,3,6,7,1,2]
[5,7,3,2,1,6,4]=>[4,5,3,7,2,6,1]
[5,7,3,2,4,1,6]=>[4,5,6,3,7,1,2]
[5,7,3,2,4,6,1]=>[4,5,6,7,2,3,1]
[5,7,3,2,6,1,4]=>[4,7,6,5,3,2,1]
[5,7,3,2,6,4,1]=>[4,5,7,3,6,2,1]
[5,7,3,4,1,2,6]=>[5,6,4,3,7,1,2]
[5,7,3,4,1,6,2]=>[5,6,4,7,2,3,1]
[5,7,3,4,2,1,6]=>[6,5,4,3,7,1,2]
[5,7,3,4,2,6,1]=>[6,5,4,7,2,3,1]
[5,7,3,4,6,1,2]=>[7,5,6,3,4,2,1]
[5,7,3,4,6,2,1]=>[6,5,7,3,4,2,1]
[5,7,3,6,1,2,4]=>[5,6,3,7,4,2,1]
[5,7,3,6,1,4,2]=>[5,7,6,4,3,2,1]
[5,7,3,6,2,1,4]=>[6,5,3,7,4,2,1]
[5,7,3,6,2,4,1]=>[6,7,5,4,3,2,1]
[5,7,3,6,4,1,2]=>[6,5,4,7,3,2,1]
[5,7,3,6,4,2,1]=>[7,5,4,6,3,2,1]
[5,7,4,1,2,3,6]=>[5,4,6,3,7,1,2]
[5,7,4,1,2,6,3]=>[5,4,6,7,2,3,1]
[5,7,4,1,3,2,6]=>[6,4,5,3,7,1,2]
[5,7,4,1,3,6,2]=>[6,4,5,7,2,3,1]
[5,7,4,1,6,2,3]=>[7,4,6,3,5,2,1]
[5,7,4,1,6,3,2]=>[6,4,7,3,5,2,1]
[5,7,4,2,1,3,6]=>[4,5,6,3,7,1,2]
[5,7,4,2,1,6,3]=>[4,5,6,7,2,3,1]
[5,7,4,2,3,1,6]=>[6,5,4,3,7,1,2]
[5,7,4,2,3,6,1]=>[6,5,4,7,2,3,1]
[5,7,4,2,6,1,3]=>[4,7,6,3,5,2,1]
[5,7,4,2,6,3,1]=>[6,5,7,3,4,2,1]
[5,7,4,3,1,2,6]=>[6,5,4,3,7,1,2]
[5,7,4,3,1,6,2]=>[6,5,4,7,2,3,1]
[5,7,4,3,2,1,6]=>[5,6,4,3,7,1,2]
[5,7,4,3,2,6,1]=>[5,6,4,7,2,3,1]
[5,7,4,3,6,1,2]=>[5,7,6,3,4,2,1]
[5,7,4,3,6,2,1]=>[5,6,7,3,4,2,1]
[5,7,4,6,1,2,3]=>[5,6,4,7,3,2,1]
[5,7,4,6,1,3,2]=>[5,7,4,6,3,2,1]
[5,7,4,6,2,1,3]=>[6,5,4,7,3,2,1]
[5,7,4,6,2,3,1]=>[6,7,4,5,3,2,1]
[5,7,4,6,3,1,2]=>[6,7,4,5,3,2,1]
[5,7,4,6,3,2,1]=>[7,6,4,5,3,2,1]
[5,7,6,1,2,3,4]=>[6,4,5,7,3,2,1]
[5,7,6,1,2,4,3]=>[7,4,5,6,3,2,1]
[5,7,6,1,3,2,4]=>[5,4,6,7,3,2,1]
[5,7,6,1,3,4,2]=>[7,4,6,5,3,2,1]
[5,7,6,1,4,2,3]=>[7,4,6,5,3,2,1]
[5,7,6,1,4,3,2]=>[6,4,7,5,3,2,1]
[5,7,6,2,1,3,4]=>[6,5,4,7,3,2,1]
[5,7,6,2,1,4,3]=>[7,5,4,6,3,2,1]
[5,7,6,2,3,1,4]=>[4,5,6,7,3,2,1]
[5,7,6,2,3,4,1]=>[7,5,6,4,3,2,1]
[5,7,6,2,4,1,3]=>[4,7,6,5,3,2,1]
[5,7,6,2,4,3,1]=>[6,5,7,4,3,2,1]
[5,7,6,3,1,2,4]=>[4,5,6,7,3,2,1]
[5,7,6,3,1,4,2]=>[7,5,6,4,3,2,1]
[5,7,6,3,2,1,4]=>[4,6,5,7,3,2,1]
[5,7,6,3,2,4,1]=>[7,6,5,4,3,2,1]
[5,7,6,3,4,1,2]=>[5,7,6,4,3,2,1]
[5,7,6,3,4,2,1]=>[5,6,7,4,3,2,1]
[5,7,6,4,1,2,3]=>[7,5,6,4,3,2,1]
[5,7,6,4,1,3,2]=>[6,5,7,4,3,2,1]
[5,7,6,4,2,1,3]=>[7,6,5,4,3,2,1]
[5,7,6,4,2,3,1]=>[5,6,7,4,3,2,1]
[5,7,6,4,3,1,2]=>[5,6,7,4,3,2,1]
[5,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]
[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[6,1,2,3,4,7,5]=>[2,3,4,5,6,7,1]
[6,1,2,3,5,4,7]=>[2,3,4,6,5,1,7]
[6,1,2,3,5,7,4]=>[2,3,4,6,5,7,1]
[6,1,2,3,7,4,5]=>[2,3,4,7,6,5,1]
[6,1,2,3,7,5,4]=>[2,3,4,6,7,5,1]
[6,1,2,4,3,5,7]=>[2,3,5,4,6,1,7]
[6,1,2,4,3,7,5]=>[2,3,5,4,6,7,1]
[6,1,2,4,5,3,7]=>[2,3,5,6,4,1,7]
[6,1,2,4,5,7,3]=>[2,3,5,6,4,7,1]
[6,1,2,4,7,3,5]=>[2,3,7,4,6,5,1]
[6,1,2,4,7,5,3]=>[2,3,5,6,7,4,1]
[6,1,2,5,3,4,7]=>[2,3,5,6,4,1,7]
[6,1,2,5,3,7,4]=>[2,3,5,6,4,7,1]
[6,1,2,5,4,3,7]=>[2,3,6,5,4,1,7]
[6,1,2,5,4,7,3]=>[2,3,6,5,4,7,1]
[6,1,2,5,7,3,4]=>[2,3,7,5,6,4,1]
[6,1,2,5,7,4,3]=>[2,3,6,5,7,4,1]
[6,1,2,7,3,4,5]=>[2,3,6,5,7,4,1]
[6,1,2,7,3,5,4]=>[2,3,7,5,6,4,1]
[6,1,2,7,4,3,5]=>[2,3,5,6,7,4,1]
[6,1,2,7,4,5,3]=>[2,3,7,6,5,4,1]
[6,1,2,7,5,3,4]=>[2,3,7,6,5,4,1]
[6,1,2,7,5,4,3]=>[2,3,6,7,5,4,1]
[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7]
[6,1,3,2,4,7,5]=>[2,4,3,5,6,7,1]
[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7]
[6,1,3,2,5,7,4]=>[2,4,3,6,5,7,1]
[6,1,3,2,7,4,5]=>[2,4,3,7,6,5,1]
[6,1,3,2,7,5,4]=>[2,4,3,6,7,5,1]
[6,1,3,4,2,5,7]=>[2,4,5,3,6,1,7]
[6,1,3,4,2,7,5]=>[2,4,5,3,6,7,1]
[6,1,3,4,5,2,7]=>[2,4,5,6,3,1,7]
[6,1,3,4,5,7,2]=>[2,4,5,6,3,7,1]
[6,1,3,4,7,2,5]=>[2,4,7,3,6,5,1]
[6,1,3,4,7,5,2]=>[2,4,5,6,7,3,1]
[6,1,3,5,2,4,7]=>[2,6,5,3,4,1,7]
[6,1,3,5,2,7,4]=>[2,6,5,3,4,7,1]
[6,1,3,5,4,2,7]=>[2,4,6,5,3,1,7]
[6,1,3,5,4,7,2]=>[2,4,6,5,3,7,1]
[6,1,3,5,7,2,4]=>[2,5,7,3,6,4,1]
[6,1,3,5,7,4,2]=>[2,4,6,5,7,3,1]
[6,1,3,7,2,4,5]=>[2,6,3,5,7,4,1]
[6,1,3,7,2,5,4]=>[2,7,3,5,6,4,1]
[6,1,3,7,4,2,5]=>[2,7,5,6,3,4,1]
[6,1,3,7,4,5,2]=>[2,4,7,6,5,3,1]
[6,1,3,7,5,2,4]=>[2,5,7,6,3,4,1]
[6,1,3,7,5,4,2]=>[2,4,6,7,5,3,1]
[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7]
[6,1,4,2,3,7,5]=>[2,4,5,3,6,7,1]
[6,1,4,2,5,3,7]=>[2,4,5,6,3,1,7]
[6,1,4,2,5,7,3]=>[2,4,5,6,3,7,1]
[6,1,4,2,7,3,5]=>[2,4,7,3,6,5,1]
[6,1,4,2,7,5,3]=>[2,4,5,6,7,3,1]
[6,1,4,3,2,5,7]=>[2,5,4,3,6,1,7]
[6,1,4,3,2,7,5]=>[2,5,4,3,6,7,1]
[6,1,4,3,5,2,7]=>[2,5,4,6,3,1,7]
[6,1,4,3,5,7,2]=>[2,5,4,6,3,7,1]
[6,1,4,3,7,2,5]=>[2,7,4,3,6,5,1]
[6,1,4,3,7,5,2]=>[2,5,4,6,7,3,1]
[6,1,4,5,2,3,7]=>[2,6,5,4,3,1,7]
[6,1,4,5,2,7,3]=>[2,6,5,4,3,7,1]
[6,1,4,5,3,2,7]=>[2,5,6,4,3,1,7]
[6,1,4,5,3,7,2]=>[2,5,6,4,3,7,1]
[6,1,4,5,7,2,3]=>[2,5,7,4,6,3,1]
[6,1,4,5,7,3,2]=>[2,5,6,4,7,3,1]
[6,1,4,7,2,3,5]=>[2,6,7,5,3,4,1]
[6,1,4,7,2,5,3]=>[2,7,4,5,6,3,1]
[6,1,4,7,3,2,5]=>[2,5,7,6,3,4,1]
[6,1,4,7,3,5,2]=>[2,7,4,6,5,3,1]
[6,1,4,7,5,2,3]=>[2,5,7,6,4,3,1]
[6,1,4,7,5,3,2]=>[2,5,6,7,4,3,1]
[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7]
[6,1,5,2,3,7,4]=>[2,4,5,6,3,7,1]
[6,1,5,2,4,3,7]=>[2,4,6,5,3,1,7]
[6,1,5,2,4,7,3]=>[2,4,6,5,3,7,1]
[6,1,5,2,7,3,4]=>[2,4,7,5,6,3,1]
[6,1,5,2,7,4,3]=>[2,4,6,5,7,3,1]
[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7]
[6,1,5,3,2,7,4]=>[2,5,4,6,3,7,1]
[6,1,5,3,4,2,7]=>[2,5,6,4,3,1,7]
[6,1,5,3,4,7,2]=>[2,5,6,4,3,7,1]
[6,1,5,3,7,2,4]=>[2,7,4,5,6,3,1]
[6,1,5,3,7,4,2]=>[2,5,6,4,7,3,1]
[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7]
[6,1,5,4,2,7,3]=>[2,5,6,4,3,7,1]
[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]
[6,1,5,4,3,7,2]=>[2,6,5,4,3,7,1]
[6,1,5,4,7,2,3]=>[2,7,5,4,6,3,1]
[6,1,5,4,7,3,2]=>[2,6,5,4,7,3,1]
[6,1,5,7,2,3,4]=>[2,6,7,5,4,3,1]
[6,1,5,7,2,4,3]=>[2,7,6,5,4,3,1]
[6,1,5,7,3,2,4]=>[2,5,7,6,4,3,1]
[6,1,5,7,3,4,2]=>[2,7,5,6,4,3,1]
[6,1,5,7,4,2,3]=>[2,7,5,6,4,3,1]
[6,1,5,7,4,3,2]=>[2,6,5,7,4,3,1]
[6,1,7,2,3,4,5]=>[2,5,4,6,7,3,1]
[6,1,7,2,3,5,4]=>[2,5,4,7,6,3,1]
[6,1,7,2,4,3,5]=>[2,6,4,5,7,3,1]
[6,1,7,2,4,5,3]=>[2,6,4,7,5,3,1]
[6,1,7,2,5,3,4]=>[2,6,4,7,5,3,1]
[6,1,7,2,5,4,3]=>[2,7,4,6,5,3,1]
[6,1,7,3,2,4,5]=>[2,4,5,6,7,3,1]
[6,1,7,3,2,5,4]=>[2,4,5,7,6,3,1]
[6,1,7,3,4,2,5]=>[2,6,5,4,7,3,1]
[6,1,7,3,4,5,2]=>[2,6,5,7,4,3,1]
[6,1,7,3,5,2,4]=>[2,6,7,4,5,3,1]
[6,1,7,3,5,4,2]=>[2,7,5,6,4,3,1]
[6,1,7,4,2,3,5]=>[2,6,5,4,7,3,1]
[6,1,7,4,2,5,3]=>[2,6,5,7,4,3,1]
[6,1,7,4,3,2,5]=>[2,5,6,4,7,3,1]
[6,1,7,4,3,5,2]=>[2,5,6,7,4,3,1]
[6,1,7,4,5,2,3]=>[2,6,7,5,4,3,1]
[6,1,7,4,5,3,2]=>[2,7,6,5,4,3,1]
[6,1,7,5,2,3,4]=>[2,6,5,7,4,3,1]
[6,1,7,5,2,4,3]=>[2,7,5,6,4,3,1]
[6,1,7,5,3,2,4]=>[2,5,6,7,4,3,1]
[6,1,7,5,3,4,2]=>[2,7,6,5,4,3,1]
[6,1,7,5,4,2,3]=>[2,7,6,5,4,3,1]
[6,1,7,5,4,3,2]=>[2,6,7,5,4,3,1]
[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]
[6,2,1,3,4,7,5]=>[3,2,4,5,6,7,1]
[6,2,1,3,5,4,7]=>[3,2,4,6,5,1,7]
[6,2,1,3,5,7,4]=>[3,2,4,6,5,7,1]
[6,2,1,3,7,4,5]=>[3,2,4,7,6,5,1]
[6,2,1,3,7,5,4]=>[3,2,4,6,7,5,1]
[6,2,1,4,3,5,7]=>[3,2,5,4,6,1,7]
[6,2,1,4,3,7,5]=>[3,2,5,4,6,7,1]
[6,2,1,4,5,3,7]=>[3,2,5,6,4,1,7]
[6,2,1,4,5,7,3]=>[3,2,5,6,4,7,1]
[6,2,1,4,7,3,5]=>[3,2,7,4,6,5,1]
[6,2,1,4,7,5,3]=>[3,2,5,6,7,4,1]
[6,2,1,5,3,4,7]=>[3,2,5,6,4,1,7]
[6,2,1,5,3,7,4]=>[3,2,5,6,4,7,1]
[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]
[6,2,1,5,4,7,3]=>[3,2,6,5,4,7,1]
[6,2,1,5,7,3,4]=>[3,2,7,5,6,4,1]
[6,2,1,5,7,4,3]=>[3,2,6,5,7,4,1]
[6,2,1,7,3,4,5]=>[3,2,6,5,7,4,1]
[6,2,1,7,3,5,4]=>[3,2,7,5,6,4,1]
[6,2,1,7,4,3,5]=>[3,2,5,6,7,4,1]
[6,2,1,7,4,5,3]=>[3,2,7,6,5,4,1]
[6,2,1,7,5,3,4]=>[3,2,7,6,5,4,1]
[6,2,1,7,5,4,3]=>[3,2,6,7,5,4,1]
[6,2,3,1,4,5,7]=>[3,4,2,5,6,1,7]
[6,2,3,1,4,7,5]=>[3,4,2,5,6,7,1]
[6,2,3,1,5,4,7]=>[3,4,2,6,5,1,7]
[6,2,3,1,5,7,4]=>[3,4,2,6,5,7,1]
[6,2,3,1,7,4,5]=>[3,4,2,7,6,5,1]
[6,2,3,1,7,5,4]=>[3,4,2,6,7,5,1]
[6,2,3,4,1,5,7]=>[3,4,5,2,6,1,7]
[6,2,3,4,1,7,5]=>[3,4,5,2,6,7,1]
[6,2,3,4,5,1,7]=>[3,4,5,6,2,1,7]
[6,2,3,4,5,7,1]=>[3,4,5,6,2,7,1]
[6,2,3,4,7,1,5]=>[3,4,7,2,6,5,1]
[6,2,3,4,7,5,1]=>[3,4,5,6,7,2,1]
[6,2,3,5,1,4,7]=>[3,6,5,2,4,1,7]
[6,2,3,5,1,7,4]=>[3,6,5,2,4,7,1]
[6,2,3,5,4,1,7]=>[3,4,6,5,2,1,7]
[6,2,3,5,4,7,1]=>[3,4,6,5,2,7,1]
[6,2,3,5,7,1,4]=>[3,5,7,2,6,4,1]
[6,2,3,5,7,4,1]=>[3,4,6,5,7,2,1]
[6,2,3,7,1,4,5]=>[3,6,2,5,7,4,1]
[6,2,3,7,1,5,4]=>[3,7,2,5,6,4,1]
[6,2,3,7,4,1,5]=>[3,7,5,6,2,4,1]
[6,2,3,7,4,5,1]=>[3,4,7,6,5,2,1]
[6,2,3,7,5,1,4]=>[3,5,7,6,2,4,1]
[6,2,3,7,5,4,1]=>[3,4,6,7,5,2,1]
[6,2,4,1,3,5,7]=>[5,4,2,3,6,1,7]
[6,2,4,1,3,7,5]=>[5,4,2,3,6,7,1]
[6,2,4,1,5,3,7]=>[5,4,2,6,3,1,7]
[6,2,4,1,5,7,3]=>[5,4,2,6,3,7,1]
[6,2,4,1,7,3,5]=>[7,4,2,3,6,5,1]
[6,2,4,1,7,5,3]=>[5,4,2,6,7,3,1]
[6,2,4,3,1,5,7]=>[3,5,4,2,6,1,7]
[6,2,4,3,1,7,5]=>[3,5,4,2,6,7,1]
[6,2,4,3,5,1,7]=>[3,5,4,6,2,1,7]
[6,2,4,3,5,7,1]=>[3,5,4,6,2,7,1]
[6,2,4,3,7,1,5]=>[3,7,4,2,6,5,1]
[6,2,4,3,7,5,1]=>[3,5,4,6,7,2,1]
[6,2,4,5,1,3,7]=>[4,6,5,2,3,1,7]
[6,2,4,5,1,7,3]=>[4,6,5,2,3,7,1]
[6,2,4,5,3,1,7]=>[3,5,6,4,2,1,7]
[6,2,4,5,3,7,1]=>[3,5,6,4,2,7,1]
[6,2,4,5,7,1,3]=>[4,5,7,2,6,3,1]
[6,2,4,5,7,3,1]=>[3,5,6,4,7,2,1]
[6,2,4,7,1,3,5]=>[7,6,2,5,3,4,1]
[6,2,4,7,1,5,3]=>[4,7,2,5,6,3,1]
[6,2,4,7,3,1,5]=>[3,5,7,6,2,4,1]
[6,2,4,7,3,5,1]=>[3,7,4,6,5,2,1]
[6,2,4,7,5,1,3]=>[4,5,7,6,2,3,1]
[6,2,4,7,5,3,1]=>[3,5,6,7,4,2,1]
[6,2,5,1,3,4,7]=>[5,4,2,6,3,1,7]
[6,2,5,1,3,7,4]=>[5,4,2,6,3,7,1]
[6,2,5,1,4,3,7]=>[6,4,2,5,3,1,7]
[6,2,5,1,4,7,3]=>[6,4,2,5,3,7,1]
[6,2,5,1,7,3,4]=>[7,4,2,5,6,3,1]
[6,2,5,1,7,4,3]=>[6,4,2,5,7,3,1]
[6,2,5,3,1,4,7]=>[6,5,4,2,3,1,7]
[6,2,5,3,1,7,4]=>[6,5,4,2,3,7,1]
[6,2,5,3,4,1,7]=>[3,5,6,4,2,1,7]
[6,2,5,3,4,7,1]=>[3,5,6,4,2,7,1]
[6,2,5,3,7,1,4]=>[5,7,4,2,6,3,1]
[6,2,5,3,7,4,1]=>[3,5,6,4,7,2,1]
[6,2,5,4,1,3,7]=>[4,5,6,2,3,1,7]
[6,2,5,4,1,7,3]=>[4,5,6,2,3,7,1]
[6,2,5,4,3,1,7]=>[3,6,5,4,2,1,7]
[6,2,5,4,3,7,1]=>[3,6,5,4,2,7,1]
[6,2,5,4,7,1,3]=>[4,7,5,2,6,3,1]
[6,2,5,4,7,3,1]=>[3,6,5,4,7,2,1]
[6,2,5,7,1,3,4]=>[7,6,2,5,4,3,1]
[6,2,5,7,1,4,3]=>[6,7,2,5,4,3,1]
[6,2,5,7,3,1,4]=>[4,5,7,6,2,3,1]
[6,2,5,7,3,4,1]=>[3,7,5,6,4,2,1]
[6,2,5,7,4,1,3]=>[4,7,5,6,2,3,1]
[6,2,5,7,4,3,1]=>[3,6,5,7,4,2,1]
[6,2,7,1,3,4,5]=>[5,2,4,6,7,3,1]
[6,2,7,1,3,5,4]=>[5,2,4,7,6,3,1]
[6,2,7,1,4,3,5]=>[6,2,4,5,7,3,1]
[6,2,7,1,4,5,3]=>[6,2,4,7,5,3,1]
[6,2,7,1,5,3,4]=>[6,2,4,7,5,3,1]
[6,2,7,1,5,4,3]=>[7,2,4,6,5,3,1]
[6,2,7,3,1,4,5]=>[6,4,5,2,7,3,1]
[6,2,7,3,1,5,4]=>[7,4,5,2,6,3,1]
[6,2,7,3,4,1,5]=>[7,6,5,4,2,3,1]
[6,2,7,3,4,5,1]=>[3,6,5,7,4,2,1]
[6,2,7,3,5,1,4]=>[5,6,7,4,2,3,1]
[6,2,7,3,5,4,1]=>[3,7,5,6,4,2,1]
[6,2,7,4,1,3,5]=>[4,6,5,2,7,3,1]
[6,2,7,4,1,5,3]=>[7,6,5,2,4,3,1]
[6,2,7,4,3,1,5]=>[7,5,6,4,2,3,1]
[6,2,7,4,3,5,1]=>[3,5,6,7,4,2,1]
[6,2,7,4,5,1,3]=>[4,6,7,5,2,3,1]
[6,2,7,4,5,3,1]=>[3,7,6,5,4,2,1]
[6,2,7,5,1,3,4]=>[7,6,5,2,4,3,1]
[6,2,7,5,1,4,3]=>[6,7,5,2,4,3,1]
[6,2,7,5,3,1,4]=>[4,5,6,7,2,3,1]
[6,2,7,5,3,4,1]=>[3,7,6,5,4,2,1]
[6,2,7,5,4,1,3]=>[4,7,6,5,2,3,1]
[6,2,7,5,4,3,1]=>[3,6,7,5,4,2,1]
[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]
[6,3,1,2,4,7,5]=>[3,4,2,5,6,7,1]
[6,3,1,2,5,4,7]=>[3,4,2,6,5,1,7]
[6,3,1,2,5,7,4]=>[3,4,2,6,5,7,1]
[6,3,1,2,7,4,5]=>[3,4,2,7,6,5,1]
[6,3,1,2,7,5,4]=>[3,4,2,6,7,5,1]
[6,3,1,4,2,5,7]=>[3,4,5,2,6,1,7]
[6,3,1,4,2,7,5]=>[3,4,5,2,6,7,1]
[6,3,1,4,5,2,7]=>[3,4,5,6,2,1,7]
[6,3,1,4,5,7,2]=>[3,4,5,6,2,7,1]
[6,3,1,4,7,2,5]=>[3,4,7,2,6,5,1]
[6,3,1,4,7,5,2]=>[3,4,5,6,7,2,1]
[6,3,1,5,2,4,7]=>[3,6,5,2,4,1,7]
[6,3,1,5,2,7,4]=>[3,6,5,2,4,7,1]
[6,3,1,5,4,2,7]=>[3,4,6,5,2,1,7]
[6,3,1,5,4,7,2]=>[3,4,6,5,2,7,1]
[6,3,1,5,7,2,4]=>[3,5,7,2,6,4,1]
[6,3,1,5,7,4,2]=>[3,4,6,5,7,2,1]
[6,3,1,7,2,4,5]=>[3,6,2,5,7,4,1]
[6,3,1,7,2,5,4]=>[3,7,2,5,6,4,1]
[6,3,1,7,4,2,5]=>[3,7,5,6,2,4,1]
[6,3,1,7,4,5,2]=>[3,4,7,6,5,2,1]
[6,3,1,7,5,2,4]=>[3,5,7,6,2,4,1]
[6,3,1,7,5,4,2]=>[3,4,6,7,5,2,1]
[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]
[6,3,2,1,4,7,5]=>[4,3,2,5,6,7,1]
[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]
[6,3,2,1,5,7,4]=>[4,3,2,6,5,7,1]
[6,3,2,1,7,4,5]=>[4,3,2,7,6,5,1]
[6,3,2,1,7,5,4]=>[4,3,2,6,7,5,1]
[6,3,2,4,1,5,7]=>[4,3,5,2,6,1,7]
[6,3,2,4,1,7,5]=>[4,3,5,2,6,7,1]
[6,3,2,4,5,1,7]=>[4,3,5,6,2,1,7]
[6,3,2,4,5,7,1]=>[4,3,5,6,2,7,1]
[6,3,2,4,7,1,5]=>[4,3,7,2,6,5,1]
[6,3,2,4,7,5,1]=>[4,3,5,6,7,2,1]
[6,3,2,5,1,4,7]=>[6,3,5,2,4,1,7]
[6,3,2,5,1,7,4]=>[6,3,5,2,4,7,1]
[6,3,2,5,4,1,7]=>[4,3,6,5,2,1,7]
[6,3,2,5,4,7,1]=>[4,3,6,5,2,7,1]
[6,3,2,5,7,1,4]=>[5,3,7,2,6,4,1]
[6,3,2,5,7,4,1]=>[4,3,6,5,7,2,1]
[6,3,2,7,1,4,5]=>[6,3,2,5,7,4,1]
[6,3,2,7,1,5,4]=>[7,3,2,5,6,4,1]
[6,3,2,7,4,1,5]=>[7,3,5,6,2,4,1]
[6,3,2,7,4,5,1]=>[4,3,7,6,5,2,1]
[6,3,2,7,5,1,4]=>[5,3,7,6,2,4,1]
[6,3,2,7,5,4,1]=>[4,3,6,7,5,2,1]
[6,3,4,1,2,5,7]=>[5,4,3,2,6,1,7]
[6,3,4,1,2,7,5]=>[5,4,3,2,6,7,1]
[6,3,4,1,5,2,7]=>[5,4,3,6,2,1,7]
[6,3,4,1,5,7,2]=>[5,4,3,6,2,7,1]
[6,3,4,1,7,2,5]=>[7,4,3,2,6,5,1]
[6,3,4,1,7,5,2]=>[5,4,3,6,7,2,1]
[6,3,4,2,1,5,7]=>[4,5,3,2,6,1,7]
[6,3,4,2,1,7,5]=>[4,5,3,2,6,7,1]
[6,3,4,2,5,1,7]=>[4,5,3,6,2,1,7]
[6,3,4,2,5,7,1]=>[4,5,3,6,2,7,1]
[6,3,4,2,7,1,5]=>[4,7,3,2,6,5,1]
[6,3,4,2,7,5,1]=>[4,5,3,6,7,2,1]
[6,3,4,5,1,2,7]=>[4,6,5,3,2,1,7]
[6,3,4,5,1,7,2]=>[4,6,5,3,2,7,1]
[6,3,4,5,2,1,7]=>[4,5,6,3,2,1,7]
[6,3,4,5,2,7,1]=>[4,5,6,3,2,7,1]
[6,3,4,5,7,1,2]=>[4,5,7,3,6,2,1]
[6,3,4,5,7,2,1]=>[4,5,6,3,7,2,1]
[6,3,4,7,1,2,5]=>[7,6,3,5,2,4,1]
[6,3,4,7,1,5,2]=>[4,7,3,5,6,2,1]
[6,3,4,7,2,1,5]=>[7,5,3,6,2,4,1]
[6,3,4,7,2,5,1]=>[4,7,3,6,5,2,1]
[6,3,4,7,5,1,2]=>[4,5,7,6,3,2,1]
[6,3,4,7,5,2,1]=>[4,5,6,7,3,2,1]
[6,3,5,1,2,4,7]=>[5,4,6,2,3,1,7]
[6,3,5,1,2,7,4]=>[5,4,6,2,3,7,1]
[6,3,5,1,4,2,7]=>[6,4,3,5,2,1,7]
[6,3,5,1,4,7,2]=>[6,4,3,5,2,7,1]
[6,3,5,1,7,2,4]=>[7,4,5,2,6,3,1]
[6,3,5,1,7,4,2]=>[6,4,3,5,7,2,1]
[6,3,5,2,1,4,7]=>[4,5,6,2,3,1,7]
[6,3,5,2,1,7,4]=>[4,5,6,2,3,7,1]
[6,3,5,2,4,1,7]=>[6,5,3,4,2,1,7]
[6,3,5,2,4,7,1]=>[6,5,3,4,2,7,1]
[6,3,5,2,7,1,4]=>[4,7,5,2,6,3,1]
[6,3,5,2,7,4,1]=>[6,5,3,4,7,2,1]
[6,3,5,4,1,2,7]=>[4,5,6,3,2,1,7]
[6,3,5,4,1,7,2]=>[4,5,6,3,2,7,1]
[6,3,5,4,2,1,7]=>[4,6,5,3,2,1,7]
[6,3,5,4,2,7,1]=>[4,6,5,3,2,7,1]
[6,3,5,4,7,1,2]=>[4,7,5,3,6,2,1]
[6,3,5,4,7,2,1]=>[4,6,5,3,7,2,1]
[6,3,5,7,1,2,4]=>[7,6,4,5,2,3,1]
[6,3,5,7,1,4,2]=>[6,7,3,5,4,2,1]
[6,3,5,7,2,1,4]=>[7,5,4,6,2,3,1]
[6,3,5,7,2,4,1]=>[5,7,3,6,4,2,1]
[6,3,5,7,4,1,2]=>[4,7,5,6,3,2,1]
[6,3,5,7,4,2,1]=>[4,6,5,7,3,2,1]
[6,3,7,1,2,4,5]=>[5,6,4,2,7,3,1]
[6,3,7,1,2,5,4]=>[5,7,4,2,6,3,1]
[6,3,7,1,4,2,5]=>[6,7,4,5,2,3,1]
[6,3,7,1,4,5,2]=>[6,3,4,7,5,2,1]
[6,3,7,1,5,2,4]=>[6,5,4,7,2,3,1]
[6,3,7,1,5,4,2]=>[7,3,4,6,5,2,1]
[6,3,7,2,1,4,5]=>[4,6,5,2,7,3,1]
[6,3,7,2,1,5,4]=>[4,7,5,2,6,3,1]
[6,3,7,2,4,1,5]=>[6,7,5,4,2,3,1]
[6,3,7,2,4,5,1]=>[6,3,5,7,4,2,1]
[6,3,7,2,5,1,4]=>[6,5,7,4,2,3,1]
[6,3,7,2,5,4,1]=>[7,3,5,6,4,2,1]
[6,3,7,4,1,2,5]=>[4,6,5,7,2,3,1]
[6,3,7,4,1,5,2]=>[7,6,5,3,4,2,1]
[6,3,7,4,2,1,5]=>[4,5,6,7,2,3,1]
[6,3,7,4,2,5,1]=>[7,5,6,3,4,2,1]
[6,3,7,4,5,1,2]=>[4,6,7,5,3,2,1]
[6,3,7,4,5,2,1]=>[4,7,6,5,3,2,1]
[6,3,7,5,1,2,4]=>[7,6,5,4,2,3,1]
[6,3,7,5,1,4,2]=>[6,7,5,3,4,2,1]
[6,3,7,5,2,1,4]=>[7,5,6,4,2,3,1]
[6,3,7,5,2,4,1]=>[5,7,6,3,4,2,1]
[6,3,7,5,4,1,2]=>[4,7,6,5,3,2,1]
[6,3,7,5,4,2,1]=>[4,6,7,5,3,2,1]
[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]
[6,4,1,2,3,7,5]=>[3,4,5,2,6,7,1]
[6,4,1,2,5,3,7]=>[3,4,5,6,2,1,7]
[6,4,1,2,5,7,3]=>[3,4,5,6,2,7,1]
[6,4,1,2,7,3,5]=>[3,4,7,2,6,5,1]
[6,4,1,2,7,5,3]=>[3,4,5,6,7,2,1]
[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7]
[6,4,1,3,2,7,5]=>[3,5,4,2,6,7,1]
[6,4,1,3,5,2,7]=>[3,5,4,6,2,1,7]
[6,4,1,3,5,7,2]=>[3,5,4,6,2,7,1]
[6,4,1,3,7,2,5]=>[3,7,4,2,6,5,1]
[6,4,1,3,7,5,2]=>[3,5,4,6,7,2,1]
[6,4,1,5,2,3,7]=>[3,6,5,4,2,1,7]
[6,4,1,5,2,7,3]=>[3,6,5,4,2,7,1]
[6,4,1,5,3,2,7]=>[3,5,6,4,2,1,7]
[6,4,1,5,3,7,2]=>[3,5,6,4,2,7,1]
[6,4,1,5,7,2,3]=>[3,5,7,4,6,2,1]
[6,4,1,5,7,3,2]=>[3,5,6,4,7,2,1]
[6,4,1,7,2,3,5]=>[3,6,7,5,2,4,1]
[6,4,1,7,2,5,3]=>[3,7,4,5,6,2,1]
[6,4,1,7,3,2,5]=>[3,5,7,6,2,4,1]
[6,4,1,7,3,5,2]=>[3,7,4,6,5,2,1]
[6,4,1,7,5,2,3]=>[3,5,7,6,4,2,1]
[6,4,1,7,5,3,2]=>[3,5,6,7,4,2,1]
[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]
[6,4,2,1,3,7,5]=>[4,3,5,2,6,7,1]
[6,4,2,1,5,3,7]=>[4,3,5,6,2,1,7]
[6,4,2,1,5,7,3]=>[4,3,5,6,2,7,1]
[6,4,2,1,7,3,5]=>[4,3,7,2,6,5,1]
[6,4,2,1,7,5,3]=>[4,3,5,6,7,2,1]
[6,4,2,3,1,5,7]=>[4,5,3,2,6,1,7]
[6,4,2,3,1,7,5]=>[4,5,3,2,6,7,1]
[6,4,2,3,5,1,7]=>[4,5,3,6,2,1,7]
[6,4,2,3,5,7,1]=>[4,5,3,6,2,7,1]
[6,4,2,3,7,1,5]=>[4,7,3,2,6,5,1]
[6,4,2,3,7,5,1]=>[4,5,3,6,7,2,1]
[6,4,2,5,1,3,7]=>[6,3,5,4,2,1,7]
[6,4,2,5,1,7,3]=>[6,3,5,4,2,7,1]
[6,4,2,5,3,1,7]=>[4,5,6,3,2,1,7]
[6,4,2,5,3,7,1]=>[4,5,6,3,2,7,1]
[6,4,2,5,7,1,3]=>[5,3,7,4,6,2,1]
[6,4,2,5,7,3,1]=>[4,5,6,3,7,2,1]
[6,4,2,7,1,3,5]=>[6,3,7,5,2,4,1]
[6,4,2,7,1,5,3]=>[7,3,4,5,6,2,1]
[6,4,2,7,3,1,5]=>[7,5,3,6,2,4,1]
[6,4,2,7,3,5,1]=>[4,7,3,6,5,2,1]
[6,4,2,7,5,1,3]=>[5,3,7,6,4,2,1]
[6,4,2,7,5,3,1]=>[4,5,6,7,3,2,1]
[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]
[6,4,3,1,2,7,5]=>[4,5,3,2,6,7,1]
[6,4,3,1,5,2,7]=>[4,5,3,6,2,1,7]
[6,4,3,1,5,7,2]=>[4,5,3,6,2,7,1]
[6,4,3,1,7,2,5]=>[4,7,3,2,6,5,1]
[6,4,3,1,7,5,2]=>[4,5,3,6,7,2,1]
[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]
[6,4,3,2,1,7,5]=>[5,4,3,2,6,7,1]
[6,4,3,2,5,1,7]=>[5,4,3,6,2,1,7]
[6,4,3,2,5,7,1]=>[5,4,3,6,2,7,1]
[6,4,3,2,7,1,5]=>[7,4,3,2,6,5,1]
[6,4,3,2,7,5,1]=>[5,4,3,6,7,2,1]
[6,4,3,5,1,2,7]=>[6,4,5,3,2,1,7]
[6,4,3,5,1,7,2]=>[6,4,5,3,2,7,1]
[6,4,3,5,2,1,7]=>[5,4,6,3,2,1,7]
[6,4,3,5,2,7,1]=>[5,4,6,3,2,7,1]
[6,4,3,5,7,1,2]=>[5,4,7,3,6,2,1]
[6,4,3,5,7,2,1]=>[5,4,6,3,7,2,1]
[6,4,3,7,1,2,5]=>[6,7,3,5,2,4,1]
[6,4,3,7,1,5,2]=>[7,4,3,5,6,2,1]
[6,4,3,7,2,1,5]=>[5,7,3,6,2,4,1]
[6,4,3,7,2,5,1]=>[7,4,3,6,5,2,1]
[6,4,3,7,5,1,2]=>[5,4,7,6,3,2,1]
[6,4,3,7,5,2,1]=>[5,4,6,7,3,2,1]
[6,4,5,1,2,3,7]=>[5,4,6,3,2,1,7]
[6,4,5,1,2,7,3]=>[5,4,6,3,2,7,1]
[6,4,5,1,3,2,7]=>[6,4,5,3,2,1,7]
[6,4,5,1,3,7,2]=>[6,4,5,3,2,7,1]
[6,4,5,1,7,2,3]=>[7,4,5,3,6,2,1]
[6,4,5,1,7,3,2]=>[6,4,5,3,7,2,1]
[6,4,5,2,1,3,7]=>[4,5,6,3,2,1,7]
[6,4,5,2,1,7,3]=>[4,5,6,3,2,7,1]
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]
[6,4,5,2,3,7,1]=>[6,5,4,3,2,7,1]
[6,4,5,2,7,1,3]=>[4,7,5,3,6,2,1]
[6,4,5,2,7,3,1]=>[6,5,4,3,7,2,1]
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]
[6,4,5,3,1,7,2]=>[6,5,4,3,2,7,1]
[6,4,5,3,2,1,7]=>[5,6,4,3,2,1,7]
[6,4,5,3,2,7,1]=>[5,6,4,3,2,7,1]
[6,4,5,3,7,1,2]=>[5,7,4,3,6,2,1]
[6,4,5,3,7,2,1]=>[5,6,4,3,7,2,1]
[6,4,5,7,1,2,3]=>[7,6,4,5,3,2,1]
[6,4,5,7,1,3,2]=>[6,7,4,5,3,2,1]
[6,4,5,7,2,1,3]=>[7,5,4,6,3,2,1]
[6,4,5,7,2,3,1]=>[5,7,4,6,3,2,1]
[6,4,5,7,3,1,2]=>[5,7,4,6,3,2,1]
[6,4,5,7,3,2,1]=>[5,6,4,7,3,2,1]
[6,4,7,1,2,3,5]=>[5,6,4,7,2,3,1]
[6,4,7,1,2,5,3]=>[5,7,4,3,6,2,1]
[6,4,7,1,3,2,5]=>[6,5,4,7,2,3,1]
[6,4,7,1,3,5,2]=>[6,7,4,3,5,2,1]
[6,4,7,1,5,2,3]=>[6,5,4,7,3,2,1]
[6,4,7,1,5,3,2]=>[7,5,4,6,3,2,1]
[6,4,7,2,1,3,5]=>[4,6,5,7,2,3,1]
[6,4,7,2,1,5,3]=>[4,7,5,3,6,2,1]
[6,4,7,2,3,1,5]=>[6,4,5,7,2,3,1]
[6,4,7,2,3,5,1]=>[6,7,5,3,4,2,1]
[6,4,7,2,5,1,3]=>[6,5,7,4,3,2,1]
[6,4,7,2,5,3,1]=>[7,4,5,6,3,2,1]
[6,4,7,3,1,2,5]=>[6,4,5,7,2,3,1]
[6,4,7,3,1,5,2]=>[6,7,5,3,4,2,1]
[6,4,7,3,2,1,5]=>[5,4,6,7,2,3,1]
[6,4,7,3,2,5,1]=>[5,7,6,3,4,2,1]
[6,4,7,3,5,1,2]=>[6,4,7,5,3,2,1]
[6,4,7,3,5,2,1]=>[7,4,6,5,3,2,1]
[6,4,7,5,1,2,3]=>[7,6,5,4,3,2,1]
[6,4,7,5,1,3,2]=>[6,7,5,4,3,2,1]
[6,4,7,5,2,1,3]=>[7,5,6,4,3,2,1]
[6,4,7,5,2,3,1]=>[5,7,6,4,3,2,1]
[6,4,7,5,3,1,2]=>[5,7,6,4,3,2,1]
[6,4,7,5,3,2,1]=>[5,6,7,4,3,2,1]
[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]
[6,5,1,2,3,7,4]=>[3,4,5,6,2,7,1]
[6,5,1,2,4,3,7]=>[3,4,6,5,2,1,7]
[6,5,1,2,4,7,3]=>[3,4,6,5,2,7,1]
[6,5,1,2,7,3,4]=>[3,4,7,5,6,2,1]
[6,5,1,2,7,4,3]=>[3,4,6,5,7,2,1]
[6,5,1,3,2,4,7]=>[3,5,4,6,2,1,7]
[6,5,1,3,2,7,4]=>[3,5,4,6,2,7,1]
[6,5,1,3,4,2,7]=>[3,5,6,4,2,1,7]
[6,5,1,3,4,7,2]=>[3,5,6,4,2,7,1]
[6,5,1,3,7,2,4]=>[3,7,4,5,6,2,1]
[6,5,1,3,7,4,2]=>[3,5,6,4,7,2,1]
[6,5,1,4,2,3,7]=>[3,5,6,4,2,1,7]
[6,5,1,4,2,7,3]=>[3,5,6,4,2,7,1]
[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]
[6,5,1,4,3,7,2]=>[3,6,5,4,2,7,1]
[6,5,1,4,7,2,3]=>[3,7,5,4,6,2,1]
[6,5,1,4,7,3,2]=>[3,6,5,4,7,2,1]
[6,5,1,7,2,3,4]=>[3,6,7,5,4,2,1]
[6,5,1,7,2,4,3]=>[3,7,6,5,4,2,1]
[6,5,1,7,3,2,4]=>[3,5,7,6,4,2,1]
[6,5,1,7,3,4,2]=>[3,7,5,6,4,2,1]
[6,5,1,7,4,2,3]=>[3,7,5,6,4,2,1]
[6,5,1,7,4,3,2]=>[3,6,5,7,4,2,1]
[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]
[6,5,2,1,3,7,4]=>[4,3,5,6,2,7,1]
[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]
[6,5,2,1,4,7,3]=>[4,3,6,5,2,7,1]
[6,5,2,1,7,3,4]=>[4,3,7,5,6,2,1]
[6,5,2,1,7,4,3]=>[4,3,6,5,7,2,1]
[6,5,2,3,1,4,7]=>[4,5,3,6,2,1,7]
[6,5,2,3,1,7,4]=>[4,5,3,6,2,7,1]
[6,5,2,3,4,1,7]=>[4,5,6,3,2,1,7]
[6,5,2,3,4,7,1]=>[4,5,6,3,2,7,1]
[6,5,2,3,7,1,4]=>[4,7,3,5,6,2,1]
[6,5,2,3,7,4,1]=>[4,5,6,3,7,2,1]
[6,5,2,4,1,3,7]=>[6,5,3,4,2,1,7]
[6,5,2,4,1,7,3]=>[6,5,3,4,2,7,1]
[6,5,2,4,3,1,7]=>[4,6,5,3,2,1,7]
[6,5,2,4,3,7,1]=>[4,6,5,3,2,7,1]
[6,5,2,4,7,1,3]=>[5,7,3,4,6,2,1]
[6,5,2,4,7,3,1]=>[4,6,5,3,7,2,1]
[6,5,2,7,1,3,4]=>[6,3,7,5,4,2,1]
[6,5,2,7,1,4,3]=>[7,3,6,5,4,2,1]
[6,5,2,7,3,1,4]=>[7,5,3,6,4,2,1]
[6,5,2,7,3,4,1]=>[4,7,5,6,3,2,1]
[6,5,2,7,4,1,3]=>[5,7,3,6,4,2,1]
[6,5,2,7,4,3,1]=>[4,6,5,7,3,2,1]
[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]
[6,5,3,1,2,7,4]=>[4,5,3,6,2,7,1]
[6,5,3,1,4,2,7]=>[4,5,6,3,2,1,7]
[6,5,3,1,4,7,2]=>[4,5,6,3,2,7,1]
[6,5,3,1,7,2,4]=>[4,7,3,5,6,2,1]
[6,5,3,1,7,4,2]=>[4,5,6,3,7,2,1]
[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]
[6,5,3,2,1,7,4]=>[5,4,3,6,2,7,1]
[6,5,3,2,4,1,7]=>[5,4,6,3,2,1,7]
[6,5,3,2,4,7,1]=>[5,4,6,3,2,7,1]
[6,5,3,2,7,1,4]=>[7,4,3,5,6,2,1]
[6,5,3,2,7,4,1]=>[5,4,6,3,7,2,1]
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]
[6,5,3,4,1,7,2]=>[6,5,4,3,2,7,1]
[6,5,3,4,2,1,7]=>[5,6,4,3,2,1,7]
[6,5,3,4,2,7,1]=>[5,6,4,3,2,7,1]
[6,5,3,4,7,1,2]=>[5,7,4,3,6,2,1]
[6,5,3,4,7,2,1]=>[5,6,4,3,7,2,1]
[6,5,3,7,1,2,4]=>[6,7,3,5,4,2,1]
[6,5,3,7,1,4,2]=>[7,4,6,5,3,2,1]
[6,5,3,7,2,1,4]=>[5,7,3,6,4,2,1]
[6,5,3,7,2,4,1]=>[7,4,5,6,3,2,1]
[6,5,3,7,4,1,2]=>[5,7,4,6,3,2,1]
[6,5,3,7,4,2,1]=>[5,6,4,7,3,2,1]
[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]
[6,5,4,1,2,7,3]=>[4,5,6,3,2,7,1]
[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7]
[6,5,4,1,3,7,2]=>[4,6,5,3,2,7,1]
[6,5,4,1,7,2,3]=>[4,7,5,3,6,2,1]
[6,5,4,1,7,3,2]=>[4,6,5,3,7,2,1]
[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]
[6,5,4,2,1,7,3]=>[5,4,6,3,2,7,1]
[6,5,4,2,3,1,7]=>[5,6,4,3,2,1,7]
[6,5,4,2,3,7,1]=>[5,6,4,3,2,7,1]
[6,5,4,2,7,1,3]=>[7,4,5,3,6,2,1]
[6,5,4,2,7,3,1]=>[5,6,4,3,7,2,1]
[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]
[6,5,4,3,1,7,2]=>[5,6,4,3,2,7,1]
[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]=>[7,5,4,3,6,2,1]
[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]
[6,5,4,7,1,2,3]=>[6,7,4,5,3,2,1]
[6,5,4,7,1,3,2]=>[7,6,4,5,3,2,1]
[6,5,4,7,2,1,3]=>[5,7,4,6,3,2,1]
[6,5,4,7,2,3,1]=>[7,5,4,6,3,2,1]
[6,5,4,7,3,1,2]=>[7,5,4,6,3,2,1]
[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]
[6,5,7,1,2,3,4]=>[5,6,4,7,3,2,1]
[6,5,7,1,2,4,3]=>[5,7,4,6,3,2,1]
[6,5,7,1,3,2,4]=>[6,5,4,7,3,2,1]
[6,5,7,1,3,4,2]=>[6,7,4,5,3,2,1]
[6,5,7,1,4,2,3]=>[6,7,4,5,3,2,1]
[6,5,7,1,4,3,2]=>[7,6,4,5,3,2,1]
[6,5,7,2,1,3,4]=>[4,6,5,7,3,2,1]
[6,5,7,2,1,4,3]=>[4,7,5,6,3,2,1]
[6,5,7,2,3,1,4]=>[6,4,5,7,3,2,1]
[6,5,7,2,3,4,1]=>[6,7,5,4,3,2,1]
[6,5,7,2,4,1,3]=>[6,4,7,5,3,2,1]
[6,5,7,2,4,3,1]=>[7,6,5,4,3,2,1]
[6,5,7,3,1,2,4]=>[6,4,5,7,3,2,1]
[6,5,7,3,1,4,2]=>[6,7,5,4,3,2,1]
[6,5,7,3,2,1,4]=>[5,4,6,7,3,2,1]
[6,5,7,3,2,4,1]=>[5,7,6,4,3,2,1]
[6,5,7,3,4,1,2]=>[6,5,7,4,3,2,1]
[6,5,7,3,4,2,1]=>[7,5,6,4,3,2,1]
[6,5,7,4,1,2,3]=>[6,7,5,4,3,2,1]
[6,5,7,4,1,3,2]=>[7,6,5,4,3,2,1]
[6,5,7,4,2,1,3]=>[5,7,6,4,3,2,1]
[6,5,7,4,2,3,1]=>[7,5,6,4,3,2,1]
[6,5,7,4,3,1,2]=>[7,5,6,4,3,2,1]
[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]
[6,7,1,2,3,4,5]=>[4,3,5,6,7,2,1]
[6,7,1,2,3,5,4]=>[4,3,5,7,6,2,1]
[6,7,1,2,4,3,5]=>[4,3,6,5,7,2,1]
[6,7,1,2,4,5,3]=>[4,3,6,7,5,2,1]
[6,7,1,2,5,3,4]=>[4,3,6,7,5,2,1]
[6,7,1,2,5,4,3]=>[4,3,7,6,5,2,1]
[6,7,1,3,2,4,5]=>[5,3,4,6,7,2,1]
[6,7,1,3,2,5,4]=>[5,3,4,7,6,2,1]
[6,7,1,3,4,2,5]=>[5,3,6,4,7,2,1]
[6,7,1,3,4,5,2]=>[5,3,6,7,4,2,1]
[6,7,1,3,5,2,4]=>[7,3,6,4,5,2,1]
[6,7,1,3,5,4,2]=>[5,3,7,6,4,2,1]
[6,7,1,4,2,3,5]=>[5,3,6,4,7,2,1]
[6,7,1,4,2,5,3]=>[5,3,6,7,4,2,1]
[6,7,1,4,3,2,5]=>[6,3,5,4,7,2,1]
[6,7,1,4,3,5,2]=>[6,3,5,7,4,2,1]
[6,7,1,4,5,2,3]=>[7,3,6,5,4,2,1]
[6,7,1,4,5,3,2]=>[6,3,7,5,4,2,1]
[6,7,1,5,2,3,4]=>[5,3,6,7,4,2,1]
[6,7,1,5,2,4,3]=>[5,3,7,6,4,2,1]
[6,7,1,5,3,2,4]=>[6,3,5,7,4,2,1]
[6,7,1,5,3,4,2]=>[6,3,7,5,4,2,1]
[6,7,1,5,4,2,3]=>[6,3,7,5,4,2,1]
[6,7,1,5,4,3,2]=>[7,3,6,5,4,2,1]
[6,7,2,1,3,4,5]=>[3,4,5,6,7,2,1]
[6,7,2,1,3,5,4]=>[3,4,5,7,6,2,1]
[6,7,2,1,4,3,5]=>[3,4,6,5,7,2,1]
[6,7,2,1,4,5,3]=>[3,4,6,7,5,2,1]
[6,7,2,1,5,3,4]=>[3,4,6,7,5,2,1]
[6,7,2,1,5,4,3]=>[3,4,7,6,5,2,1]
[6,7,2,3,1,4,5]=>[5,4,3,6,7,2,1]
[6,7,2,3,1,5,4]=>[5,4,3,7,6,2,1]
[6,7,2,3,4,1,5]=>[5,4,6,3,7,2,1]
[6,7,2,3,4,5,1]=>[5,4,6,7,3,2,1]
[6,7,2,3,5,1,4]=>[7,4,6,3,5,2,1]
[6,7,2,3,5,4,1]=>[5,4,7,6,3,2,1]
[6,7,2,4,1,3,5]=>[5,6,3,4,7,2,1]
[6,7,2,4,1,5,3]=>[5,6,3,7,4,2,1]
[6,7,2,4,3,1,5]=>[6,4,5,3,7,2,1]
[6,7,2,4,3,5,1]=>[6,4,5,7,3,2,1]
[6,7,2,4,5,1,3]=>[7,5,6,3,4,2,1]
[6,7,2,4,5,3,1]=>[6,4,7,5,3,2,1]
[6,7,2,5,1,3,4]=>[5,6,3,7,4,2,1]
[6,7,2,5,1,4,3]=>[5,7,3,6,4,2,1]
[6,7,2,5,3,1,4]=>[6,7,5,3,4,2,1]
[6,7,2,5,3,4,1]=>[6,4,7,5,3,2,1]
[6,7,2,5,4,1,3]=>[6,5,7,3,4,2,1]
[6,7,2,5,4,3,1]=>[7,4,6,5,3,2,1]
[6,7,3,1,2,4,5]=>[5,4,3,6,7,2,1]
[6,7,3,1,2,5,4]=>[5,4,3,7,6,2,1]
[6,7,3,1,4,2,5]=>[5,4,6,3,7,2,1]
[6,7,3,1,4,5,2]=>[5,4,6,7,3,2,1]
[6,7,3,1,5,2,4]=>[7,4,6,3,5,2,1]
[6,7,3,1,5,4,2]=>[5,4,7,6,3,2,1]
[6,7,3,2,1,4,5]=>[4,5,3,6,7,2,1]
[6,7,3,2,1,5,4]=>[4,5,3,7,6,2,1]
[6,7,3,2,4,1,5]=>[4,5,6,3,7,2,1]
[6,7,3,2,4,5,1]=>[4,5,6,7,3,2,1]
[6,7,3,2,5,1,4]=>[4,7,6,3,5,2,1]
[6,7,3,2,5,4,1]=>[4,5,7,6,3,2,1]
[6,7,3,4,1,2,5]=>[5,6,4,3,7,2,1]
[6,7,3,4,1,5,2]=>[5,6,4,7,3,2,1]
[6,7,3,4,2,1,5]=>[6,5,4,3,7,2,1]
[6,7,3,4,2,5,1]=>[6,5,4,7,3,2,1]
[6,7,3,4,5,1,2]=>[7,5,6,4,3,2,1]
[6,7,3,4,5,2,1]=>[6,5,7,4,3,2,1]
[6,7,3,5,1,2,4]=>[5,6,7,3,4,2,1]
[6,7,3,5,1,4,2]=>[5,7,4,6,3,2,1]
[6,7,3,5,2,1,4]=>[6,5,7,3,4,2,1]
[6,7,3,5,2,4,1]=>[6,7,4,5,3,2,1]
[6,7,3,5,4,1,2]=>[6,5,7,4,3,2,1]
[6,7,3,5,4,2,1]=>[7,5,6,4,3,2,1]
[6,7,4,1,2,3,5]=>[5,4,6,3,7,2,1]
[6,7,4,1,2,5,3]=>[5,4,6,7,3,2,1]
[6,7,4,1,3,2,5]=>[6,4,5,3,7,2,1]
[6,7,4,1,3,5,2]=>[6,4,5,7,3,2,1]
[6,7,4,1,5,2,3]=>[7,4,6,5,3,2,1]
[6,7,4,1,5,3,2]=>[6,4,7,5,3,2,1]
[6,7,4,2,1,3,5]=>[4,5,6,3,7,2,1]
[6,7,4,2,1,5,3]=>[4,5,6,7,3,2,1]
[6,7,4,2,3,1,5]=>[6,5,4,3,7,2,1]
[6,7,4,2,3,5,1]=>[6,5,4,7,3,2,1]
[6,7,4,2,5,1,3]=>[4,7,6,5,3,2,1]
[6,7,4,2,5,3,1]=>[6,5,7,4,3,2,1]
[6,7,4,3,1,2,5]=>[6,5,4,3,7,2,1]
[6,7,4,3,1,5,2]=>[6,5,4,7,3,2,1]
[6,7,4,3,2,1,5]=>[5,6,4,3,7,2,1]
[6,7,4,3,2,5,1]=>[5,6,4,7,3,2,1]
[6,7,4,3,5,1,2]=>[5,7,6,4,3,2,1]
[6,7,4,3,5,2,1]=>[5,6,7,4,3,2,1]
[6,7,4,5,1,2,3]=>[5,6,7,4,3,2,1]
[6,7,4,5,1,3,2]=>[5,7,6,4,3,2,1]
[6,7,4,5,2,1,3]=>[6,5,7,4,3,2,1]
[6,7,4,5,2,3,1]=>[6,7,5,4,3,2,1]
[6,7,4,5,3,1,2]=>[6,7,5,4,3,2,1]
[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]
[6,7,5,1,2,3,4]=>[5,4,6,7,3,2,1]
[6,7,5,1,2,4,3]=>[5,4,7,6,3,2,1]
[6,7,5,1,3,2,4]=>[6,4,5,7,3,2,1]
[6,7,5,1,3,4,2]=>[6,4,7,5,3,2,1]
[6,7,5,1,4,2,3]=>[6,4,7,5,3,2,1]
[6,7,5,1,4,3,2]=>[7,4,6,5,3,2,1]
[6,7,5,2,1,3,4]=>[4,5,6,7,3,2,1]
[6,7,5,2,1,4,3]=>[4,5,7,6,3,2,1]
[6,7,5,2,3,1,4]=>[6,5,4,7,3,2,1]
[6,7,5,2,3,4,1]=>[6,5,7,4,3,2,1]
[6,7,5,2,4,1,3]=>[6,7,4,5,3,2,1]
[6,7,5,2,4,3,1]=>[7,5,6,4,3,2,1]
[6,7,5,3,1,2,4]=>[6,5,4,7,3,2,1]
[6,7,5,3,1,4,2]=>[6,5,7,4,3,2,1]
[6,7,5,3,2,1,4]=>[5,6,4,7,3,2,1]
[6,7,5,3,2,4,1]=>[5,6,7,4,3,2,1]
[6,7,5,3,4,1,2]=>[6,7,5,4,3,2,1]
[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]
[6,7,5,4,1,2,3]=>[6,5,7,4,3,2,1]
[6,7,5,4,1,3,2]=>[7,5,6,4,3,2,1]
[6,7,5,4,2,1,3]=>[5,6,7,4,3,2,1]
[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]
[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]
[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]
[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]
[7,1,2,3,5,4,6]=>[2,3,4,6,5,7,1]
[7,1,2,3,5,6,4]=>[2,3,4,6,7,5,1]
[7,1,2,3,6,4,5]=>[2,3,4,6,7,5,1]
[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]
[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1]
[7,1,2,4,3,6,5]=>[2,3,5,4,7,6,1]
[7,1,2,4,5,3,6]=>[2,3,5,6,4,7,1]
[7,1,2,4,5,6,3]=>[2,3,5,6,7,4,1]
[7,1,2,4,6,3,5]=>[2,3,7,6,4,5,1]
[7,1,2,4,6,5,3]=>[2,3,5,7,6,4,1]
[7,1,2,5,3,4,6]=>[2,3,5,6,4,7,1]
[7,1,2,5,3,6,4]=>[2,3,5,6,7,4,1]
[7,1,2,5,4,3,6]=>[2,3,6,5,4,7,1]
[7,1,2,5,4,6,3]=>[2,3,6,5,7,4,1]
[7,1,2,5,6,3,4]=>[2,3,7,6,5,4,1]
[7,1,2,5,6,4,3]=>[2,3,6,7,5,4,1]
[7,1,2,6,3,4,5]=>[2,3,5,6,7,4,1]
[7,1,2,6,3,5,4]=>[2,3,5,7,6,4,1]
[7,1,2,6,4,3,5]=>[2,3,6,5,7,4,1]
[7,1,2,6,4,5,3]=>[2,3,6,7,5,4,1]
[7,1,2,6,5,3,4]=>[2,3,6,7,5,4,1]
[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1]
[7,1,3,2,4,5,6]=>[2,4,3,5,6,7,1]
[7,1,3,2,4,6,5]=>[2,4,3,5,7,6,1]
[7,1,3,2,5,4,6]=>[2,4,3,6,5,7,1]
[7,1,3,2,5,6,4]=>[2,4,3,6,7,5,1]
[7,1,3,2,6,4,5]=>[2,4,3,6,7,5,1]
[7,1,3,2,6,5,4]=>[2,4,3,7,6,5,1]
[7,1,3,4,2,5,6]=>[2,4,5,3,6,7,1]
[7,1,3,4,2,6,5]=>[2,4,5,3,7,6,1]
[7,1,3,4,5,2,6]=>[2,4,5,6,3,7,1]
[7,1,3,4,5,6,2]=>[2,4,5,6,7,3,1]
[7,1,3,4,6,2,5]=>[2,4,7,6,3,5,1]
[7,1,3,4,6,5,2]=>[2,4,5,7,6,3,1]
[7,1,3,5,2,4,6]=>[2,6,5,3,4,7,1]
[7,1,3,5,2,6,4]=>[2,6,5,3,7,4,1]
[7,1,3,5,4,2,6]=>[2,4,6,5,3,7,1]
[7,1,3,5,4,6,2]=>[2,4,6,5,7,3,1]
[7,1,3,5,6,2,4]=>[2,5,7,6,3,4,1]
[7,1,3,5,6,4,2]=>[2,4,6,7,5,3,1]
[7,1,3,6,2,4,5]=>[2,6,5,3,7,4,1]
[7,1,3,6,2,5,4]=>[2,7,5,3,6,4,1]
[7,1,3,6,4,2,5]=>[2,7,6,5,3,4,1]
[7,1,3,6,4,5,2]=>[2,4,6,7,5,3,1]
[7,1,3,6,5,2,4]=>[2,5,6,7,3,4,1]
[7,1,3,6,5,4,2]=>[2,4,7,6,5,3,1]
[7,1,4,2,3,5,6]=>[2,4,5,3,6,7,1]
[7,1,4,2,3,6,5]=>[2,4,5,3,7,6,1]
[7,1,4,2,5,3,6]=>[2,4,5,6,3,7,1]
[7,1,4,2,5,6,3]=>[2,4,5,6,7,3,1]
[7,1,4,2,6,3,5]=>[2,4,7,6,3,5,1]
[7,1,4,2,6,5,3]=>[2,4,5,7,6,3,1]
[7,1,4,3,2,5,6]=>[2,5,4,3,6,7,1]
[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]
[7,1,4,3,5,2,6]=>[2,5,4,6,3,7,1]
[7,1,4,3,5,6,2]=>[2,5,4,6,7,3,1]
[7,1,4,3,6,2,5]=>[2,7,4,6,3,5,1]
[7,1,4,3,6,5,2]=>[2,5,4,7,6,3,1]
[7,1,4,5,2,3,6]=>[2,6,5,4,3,7,1]
[7,1,4,5,2,6,3]=>[2,6,5,4,7,3,1]
[7,1,4,5,3,2,6]=>[2,5,6,4,3,7,1]
[7,1,4,5,3,6,2]=>[2,5,6,4,7,3,1]
[7,1,4,5,6,2,3]=>[2,5,7,6,4,3,1]
[7,1,4,5,6,3,2]=>[2,5,6,7,4,3,1]
[7,1,4,6,2,3,5]=>[2,6,5,7,3,4,1]
[7,1,4,6,2,5,3]=>[2,7,5,4,6,3,1]
[7,1,4,6,3,2,5]=>[2,5,6,7,3,4,1]
[7,1,4,6,3,5,2]=>[2,7,6,4,5,3,1]
[7,1,4,6,5,2,3]=>[2,5,6,7,4,3,1]
[7,1,4,6,5,3,2]=>[2,5,7,6,4,3,1]
[7,1,5,2,3,4,6]=>[2,4,5,6,3,7,1]
[7,1,5,2,3,6,4]=>[2,4,5,6,7,3,1]
[7,1,5,2,4,3,6]=>[2,4,6,5,3,7,1]
[7,1,5,2,4,6,3]=>[2,4,6,5,7,3,1]
[7,1,5,2,6,3,4]=>[2,4,7,6,5,3,1]
[7,1,5,2,6,4,3]=>[2,4,6,7,5,3,1]
[7,1,5,3,2,4,6]=>[2,5,4,6,3,7,1]
[7,1,5,3,2,6,4]=>[2,5,4,6,7,3,1]
[7,1,5,3,4,2,6]=>[2,5,6,4,3,7,1]
[7,1,5,3,4,6,2]=>[2,5,6,4,7,3,1]
[7,1,5,3,6,2,4]=>[2,7,4,6,5,3,1]
[7,1,5,3,6,4,2]=>[2,5,6,7,4,3,1]
[7,1,5,4,2,3,6]=>[2,5,6,4,3,7,1]
[7,1,5,4,2,6,3]=>[2,5,6,4,7,3,1]
[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]
[7,1,5,4,3,6,2]=>[2,6,5,4,7,3,1]
[7,1,5,4,6,2,3]=>[2,7,5,6,4,3,1]
[7,1,5,4,6,3,2]=>[2,6,5,7,4,3,1]
[7,1,5,6,2,3,4]=>[2,6,5,7,4,3,1]
[7,1,5,6,2,4,3]=>[2,7,5,6,4,3,1]
[7,1,5,6,3,2,4]=>[2,5,6,7,4,3,1]
[7,1,5,6,3,4,2]=>[2,7,6,5,4,3,1]
[7,1,5,6,4,2,3]=>[2,7,6,5,4,3,1]
[7,1,5,6,4,3,2]=>[2,6,7,5,4,3,1]
[7,1,6,2,3,4,5]=>[2,4,5,6,7,3,1]
[7,1,6,2,3,5,4]=>[2,4,5,7,6,3,1]
[7,1,6,2,4,3,5]=>[2,4,6,5,7,3,1]
[7,1,6,2,4,5,3]=>[2,4,6,7,5,3,1]
[7,1,6,2,5,3,4]=>[2,4,6,7,5,3,1]
[7,1,6,2,5,4,3]=>[2,4,7,6,5,3,1]
[7,1,6,3,2,4,5]=>[2,5,4,6,7,3,1]
[7,1,6,3,2,5,4]=>[2,5,4,7,6,3,1]
[7,1,6,3,4,2,5]=>[2,5,6,4,7,3,1]
[7,1,6,3,4,5,2]=>[2,5,6,7,4,3,1]
[7,1,6,3,5,2,4]=>[2,7,6,4,5,3,1]
[7,1,6,3,5,4,2]=>[2,5,7,6,4,3,1]
[7,1,6,4,2,3,5]=>[2,5,6,4,7,3,1]
[7,1,6,4,2,5,3]=>[2,5,6,7,4,3,1]
[7,1,6,4,3,2,5]=>[2,6,5,4,7,3,1]
[7,1,6,4,3,5,2]=>[2,6,5,7,4,3,1]
[7,1,6,4,5,2,3]=>[2,7,6,5,4,3,1]
[7,1,6,4,5,3,2]=>[2,6,7,5,4,3,1]
[7,1,6,5,2,3,4]=>[2,5,6,7,4,3,1]
[7,1,6,5,2,4,3]=>[2,5,7,6,4,3,1]
[7,1,6,5,3,2,4]=>[2,6,5,7,4,3,1]
[7,1,6,5,3,4,2]=>[2,6,7,5,4,3,1]
[7,1,6,5,4,2,3]=>[2,6,7,5,4,3,1]
[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]
[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]
[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1]
[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1]
[7,2,1,3,5,6,4]=>[3,2,4,6,7,5,1]
[7,2,1,3,6,4,5]=>[3,2,4,6,7,5,1]
[7,2,1,3,6,5,4]=>[3,2,4,7,6,5,1]
[7,2,1,4,3,5,6]=>[3,2,5,4,6,7,1]
[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1]
[7,2,1,4,5,3,6]=>[3,2,5,6,4,7,1]
[7,2,1,4,5,6,3]=>[3,2,5,6,7,4,1]
[7,2,1,4,6,3,5]=>[3,2,7,6,4,5,1]
[7,2,1,4,6,5,3]=>[3,2,5,7,6,4,1]
[7,2,1,5,3,4,6]=>[3,2,5,6,4,7,1]
[7,2,1,5,3,6,4]=>[3,2,5,6,7,4,1]
[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]
[7,2,1,5,4,6,3]=>[3,2,6,5,7,4,1]
[7,2,1,5,6,3,4]=>[3,2,7,6,5,4,1]
[7,2,1,5,6,4,3]=>[3,2,6,7,5,4,1]
[7,2,1,6,3,4,5]=>[3,2,5,6,7,4,1]
[7,2,1,6,3,5,4]=>[3,2,5,7,6,4,1]
[7,2,1,6,4,3,5]=>[3,2,6,5,7,4,1]
[7,2,1,6,4,5,3]=>[3,2,6,7,5,4,1]
[7,2,1,6,5,3,4]=>[3,2,6,7,5,4,1]
[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]
[7,2,3,1,4,5,6]=>[3,4,2,5,6,7,1]
[7,2,3,1,4,6,5]=>[3,4,2,5,7,6,1]
[7,2,3,1,5,4,6]=>[3,4,2,6,5,7,1]
[7,2,3,1,5,6,4]=>[3,4,2,6,7,5,1]
[7,2,3,1,6,4,5]=>[3,4,2,6,7,5,1]
[7,2,3,1,6,5,4]=>[3,4,2,7,6,5,1]
[7,2,3,4,1,5,6]=>[3,4,5,2,6,7,1]
[7,2,3,4,1,6,5]=>[3,4,5,2,7,6,1]
[7,2,3,4,5,1,6]=>[3,4,5,6,2,7,1]
[7,2,3,4,5,6,1]=>[3,4,5,6,7,2,1]
[7,2,3,4,6,1,5]=>[3,4,7,6,2,5,1]
[7,2,3,4,6,5,1]=>[3,4,5,7,6,2,1]
[7,2,3,5,1,4,6]=>[3,6,5,2,4,7,1]
[7,2,3,5,1,6,4]=>[3,6,5,2,7,4,1]
[7,2,3,5,4,1,6]=>[3,4,6,5,2,7,1]
[7,2,3,5,4,6,1]=>[3,4,6,5,7,2,1]
[7,2,3,5,6,1,4]=>[3,5,7,6,2,4,1]
[7,2,3,5,6,4,1]=>[3,4,6,7,5,2,1]
[7,2,3,6,1,4,5]=>[3,6,5,2,7,4,1]
[7,2,3,6,1,5,4]=>[3,7,5,2,6,4,1]
[7,2,3,6,4,1,5]=>[3,7,6,5,2,4,1]
[7,2,3,6,4,5,1]=>[3,4,6,7,5,2,1]
[7,2,3,6,5,1,4]=>[3,5,6,7,2,4,1]
[7,2,3,6,5,4,1]=>[3,4,7,6,5,2,1]
[7,2,4,1,3,5,6]=>[5,4,2,3,6,7,1]
[7,2,4,1,3,6,5]=>[5,4,2,3,7,6,1]
[7,2,4,1,5,3,6]=>[5,4,2,6,3,7,1]
[7,2,4,1,5,6,3]=>[5,4,2,6,7,3,1]
[7,2,4,1,6,3,5]=>[7,4,2,6,3,5,1]
[7,2,4,1,6,5,3]=>[5,4,2,7,6,3,1]
[7,2,4,3,1,5,6]=>[3,5,4,2,6,7,1]
[7,2,4,3,1,6,5]=>[3,5,4,2,7,6,1]
[7,2,4,3,5,1,6]=>[3,5,4,6,2,7,1]
[7,2,4,3,5,6,1]=>[3,5,4,6,7,2,1]
[7,2,4,3,6,1,5]=>[3,7,4,6,2,5,1]
[7,2,4,3,6,5,1]=>[3,5,4,7,6,2,1]
[7,2,4,5,1,3,6]=>[4,6,5,2,3,7,1]
[7,2,4,5,1,6,3]=>[4,6,5,2,7,3,1]
[7,2,4,5,3,1,6]=>[3,5,6,4,2,7,1]
[7,2,4,5,3,6,1]=>[3,5,6,4,7,2,1]
[7,2,4,5,6,1,3]=>[4,5,7,6,2,3,1]
[7,2,4,5,6,3,1]=>[3,5,6,7,4,2,1]
[7,2,4,6,1,3,5]=>[7,6,5,2,3,4,1]
[7,2,4,6,1,5,3]=>[4,7,5,2,6,3,1]
[7,2,4,6,3,1,5]=>[3,5,6,7,2,4,1]
[7,2,4,6,3,5,1]=>[3,7,6,4,5,2,1]
[7,2,4,6,5,1,3]=>[4,5,6,7,2,3,1]
[7,2,4,6,5,3,1]=>[3,5,7,6,4,2,1]
[7,2,5,1,3,4,6]=>[5,4,2,6,3,7,1]
[7,2,5,1,3,6,4]=>[5,4,2,6,7,3,1]
[7,2,5,1,4,3,6]=>[6,4,2,5,3,7,1]
[7,2,5,1,4,6,3]=>[6,4,2,5,7,3,1]
[7,2,5,1,6,3,4]=>[7,4,2,6,5,3,1]
[7,2,5,1,6,4,3]=>[6,4,2,7,5,3,1]
[7,2,5,3,1,4,6]=>[6,5,4,2,3,7,1]
[7,2,5,3,1,6,4]=>[6,5,4,2,7,3,1]
[7,2,5,3,4,1,6]=>[3,5,6,4,2,7,1]
[7,2,5,3,4,6,1]=>[3,5,6,4,7,2,1]
[7,2,5,3,6,1,4]=>[5,7,4,6,2,3,1]
[7,2,5,3,6,4,1]=>[3,5,6,7,4,2,1]
[7,2,5,4,1,3,6]=>[4,5,6,2,3,7,1]
[7,2,5,4,1,6,3]=>[4,5,6,2,7,3,1]
[7,2,5,4,3,1,6]=>[3,6,5,4,2,7,1]
[7,2,5,4,3,6,1]=>[3,6,5,4,7,2,1]
[7,2,5,4,6,1,3]=>[4,7,5,6,2,3,1]
[7,2,5,4,6,3,1]=>[3,6,5,7,4,2,1]
[7,2,5,6,1,3,4]=>[7,6,5,2,4,3,1]
[7,2,5,6,1,4,3]=>[6,7,5,2,4,3,1]
[7,2,5,6,3,1,4]=>[4,5,6,7,2,3,1]
[7,2,5,6,3,4,1]=>[3,7,6,5,4,2,1]
[7,2,5,6,4,1,3]=>[4,7,6,5,2,3,1]
[7,2,5,6,4,3,1]=>[3,6,7,5,4,2,1]
[7,2,6,1,3,4,5]=>[5,4,2,6,7,3,1]
[7,2,6,1,3,5,4]=>[5,4,2,7,6,3,1]
[7,2,6,1,4,3,5]=>[6,4,2,5,7,3,1]
[7,2,6,1,4,5,3]=>[6,4,2,7,5,3,1]
[7,2,6,1,5,3,4]=>[6,4,2,7,5,3,1]
[7,2,6,1,5,4,3]=>[7,4,2,6,5,3,1]
[7,2,6,3,1,4,5]=>[6,5,4,2,7,3,1]
[7,2,6,3,1,5,4]=>[7,5,4,2,6,3,1]
[7,2,6,3,4,1,5]=>[7,5,6,4,2,3,1]
[7,2,6,3,4,5,1]=>[3,5,6,7,4,2,1]
[7,2,6,3,5,1,4]=>[5,7,6,4,2,3,1]
[7,2,6,3,5,4,1]=>[3,5,7,6,4,2,1]
[7,2,6,4,1,3,5]=>[4,5,6,2,7,3,1]
[7,2,6,4,1,5,3]=>[7,5,6,2,4,3,1]
[7,2,6,4,3,1,5]=>[7,6,5,4,2,3,1]
[7,2,6,4,3,5,1]=>[3,6,5,7,4,2,1]
[7,2,6,4,5,1,3]=>[4,7,6,5,2,3,1]
[7,2,6,4,5,3,1]=>[3,6,7,5,4,2,1]
[7,2,6,5,1,3,4]=>[7,5,6,2,4,3,1]
[7,2,6,5,1,4,3]=>[6,5,7,2,4,3,1]
[7,2,6,5,3,1,4]=>[4,6,5,7,2,3,1]
[7,2,6,5,3,4,1]=>[3,6,7,5,4,2,1]
[7,2,6,5,4,1,3]=>[4,6,7,5,2,3,1]
[7,2,6,5,4,3,1]=>[3,7,6,5,4,2,1]
[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]
[7,3,1,2,4,6,5]=>[3,4,2,5,7,6,1]
[7,3,1,2,5,4,6]=>[3,4,2,6,5,7,1]
[7,3,1,2,5,6,4]=>[3,4,2,6,7,5,1]
[7,3,1,2,6,4,5]=>[3,4,2,6,7,5,1]
[7,3,1,2,6,5,4]=>[3,4,2,7,6,5,1]
[7,3,1,4,2,5,6]=>[3,4,5,2,6,7,1]
[7,3,1,4,2,6,5]=>[3,4,5,2,7,6,1]
[7,3,1,4,5,2,6]=>[3,4,5,6,2,7,1]
[7,3,1,4,5,6,2]=>[3,4,5,6,7,2,1]
[7,3,1,4,6,2,5]=>[3,4,7,6,2,5,1]
[7,3,1,4,6,5,2]=>[3,4,5,7,6,2,1]
[7,3,1,5,2,4,6]=>[3,6,5,2,4,7,1]
[7,3,1,5,2,6,4]=>[3,6,5,2,7,4,1]
[7,3,1,5,4,2,6]=>[3,4,6,5,2,7,1]
[7,3,1,5,4,6,2]=>[3,4,6,5,7,2,1]
[7,3,1,5,6,2,4]=>[3,5,7,6,2,4,1]
[7,3,1,5,6,4,2]=>[3,4,6,7,5,2,1]
[7,3,1,6,2,4,5]=>[3,6,5,2,7,4,1]
[7,3,1,6,2,5,4]=>[3,7,5,2,6,4,1]
[7,3,1,6,4,2,5]=>[3,7,6,5,2,4,1]
[7,3,1,6,4,5,2]=>[3,4,6,7,5,2,1]
[7,3,1,6,5,2,4]=>[3,5,6,7,2,4,1]
[7,3,1,6,5,4,2]=>[3,4,7,6,5,2,1]
[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]
[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1]
[7,3,2,1,5,4,6]=>[4,3,2,6,5,7,1]
[7,3,2,1,5,6,4]=>[4,3,2,6,7,5,1]
[7,3,2,1,6,4,5]=>[4,3,2,6,7,5,1]
[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]
[7,3,2,4,1,5,6]=>[4,3,5,2,6,7,1]
[7,3,2,4,1,6,5]=>[4,3,5,2,7,6,1]
[7,3,2,4,5,1,6]=>[4,3,5,6,2,7,1]
[7,3,2,4,5,6,1]=>[4,3,5,6,7,2,1]
[7,3,2,4,6,1,5]=>[4,3,7,6,2,5,1]
[7,3,2,4,6,5,1]=>[4,3,5,7,6,2,1]
[7,3,2,5,1,4,6]=>[6,3,5,2,4,7,1]
[7,3,2,5,1,6,4]=>[6,3,5,2,7,4,1]
[7,3,2,5,4,1,6]=>[4,3,6,5,2,7,1]
[7,3,2,5,4,6,1]=>[4,3,6,5,7,2,1]
[7,3,2,5,6,1,4]=>[5,3,7,6,2,4,1]
[7,3,2,5,6,4,1]=>[4,3,6,7,5,2,1]
[7,3,2,6,1,4,5]=>[6,3,5,2,7,4,1]
[7,3,2,6,1,5,4]=>[7,3,5,2,6,4,1]
[7,3,2,6,4,1,5]=>[7,3,6,5,2,4,1]
[7,3,2,6,4,5,1]=>[4,3,6,7,5,2,1]
[7,3,2,6,5,1,4]=>[5,3,6,7,2,4,1]
[7,3,2,6,5,4,1]=>[4,3,7,6,5,2,1]
[7,3,4,1,2,5,6]=>[5,4,3,2,6,7,1]
[7,3,4,1,2,6,5]=>[5,4,3,2,7,6,1]
[7,3,4,1,5,2,6]=>[5,4,3,6,2,7,1]
[7,3,4,1,5,6,2]=>[5,4,3,6,7,2,1]
[7,3,4,1,6,2,5]=>[7,4,3,6,2,5,1]
[7,3,4,1,6,5,2]=>[5,4,3,7,6,2,1]
[7,3,4,2,1,5,6]=>[4,5,3,2,6,7,1]
[7,3,4,2,1,6,5]=>[4,5,3,2,7,6,1]
[7,3,4,2,5,1,6]=>[4,5,3,6,2,7,1]
[7,3,4,2,5,6,1]=>[4,5,3,6,7,2,1]
[7,3,4,2,6,1,5]=>[4,7,3,6,2,5,1]
[7,3,4,2,6,5,1]=>[4,5,3,7,6,2,1]
[7,3,4,5,1,2,6]=>[4,6,5,3,2,7,1]
[7,3,4,5,1,6,2]=>[4,6,5,3,7,2,1]
[7,3,4,5,2,1,6]=>[4,5,6,3,2,7,1]
[7,3,4,5,2,6,1]=>[4,5,6,3,7,2,1]
[7,3,4,5,6,1,2]=>[4,5,7,6,3,2,1]
[7,3,4,5,6,2,1]=>[4,5,6,7,3,2,1]
[7,3,4,6,1,2,5]=>[7,6,5,3,2,4,1]
[7,3,4,6,1,5,2]=>[4,7,5,3,6,2,1]
[7,3,4,6,2,1,5]=>[7,5,6,3,2,4,1]
[7,3,4,6,2,5,1]=>[4,7,6,3,5,2,1]
[7,3,4,6,5,1,2]=>[4,5,6,7,3,2,1]
[7,3,4,6,5,2,1]=>[4,5,7,6,3,2,1]
[7,3,5,1,2,4,6]=>[5,4,6,2,3,7,1]
[7,3,5,1,2,6,4]=>[5,4,6,2,7,3,1]
[7,3,5,1,4,2,6]=>[6,4,3,5,2,7,1]
[7,3,5,1,4,6,2]=>[6,4,3,5,7,2,1]
[7,3,5,1,6,2,4]=>[7,4,5,6,2,3,1]
[7,3,5,1,6,4,2]=>[6,4,3,7,5,2,1]
[7,3,5,2,1,4,6]=>[4,5,6,2,3,7,1]
[7,3,5,2,1,6,4]=>[4,5,6,2,7,3,1]
[7,3,5,2,4,1,6]=>[6,5,3,4,2,7,1]
[7,3,5,2,4,6,1]=>[6,5,3,4,7,2,1]
[7,3,5,2,6,1,4]=>[4,7,5,6,2,3,1]
[7,3,5,2,6,4,1]=>[6,5,3,7,4,2,1]
[7,3,5,4,1,2,6]=>[4,5,6,3,2,7,1]
[7,3,5,4,1,6,2]=>[4,5,6,3,7,2,1]
[7,3,5,4,2,1,6]=>[4,6,5,3,2,7,1]
[7,3,5,4,2,6,1]=>[4,6,5,3,7,2,1]
[7,3,5,4,6,1,2]=>[4,7,5,6,3,2,1]
[7,3,5,4,6,2,1]=>[4,6,5,7,3,2,1]
[7,3,5,6,1,2,4]=>[7,6,5,4,2,3,1]
[7,3,5,6,1,4,2]=>[6,7,5,3,4,2,1]
[7,3,5,6,2,1,4]=>[7,5,6,4,2,3,1]
[7,3,5,6,2,4,1]=>[5,7,6,3,4,2,1]
[7,3,5,6,4,1,2]=>[4,7,6,5,3,2,1]
[7,3,5,6,4,2,1]=>[4,6,7,5,3,2,1]
[7,3,6,1,2,4,5]=>[5,4,6,2,7,3,1]
[7,3,6,1,2,5,4]=>[5,4,7,2,6,3,1]
[7,3,6,1,4,2,5]=>[6,4,7,5,2,3,1]
[7,3,6,1,4,5,2]=>[6,4,3,7,5,2,1]
[7,3,6,1,5,2,4]=>[6,4,5,7,2,3,1]
[7,3,6,1,5,4,2]=>[7,4,3,6,5,2,1]
[7,3,6,2,1,4,5]=>[4,5,6,2,7,3,1]
[7,3,6,2,1,5,4]=>[4,5,7,2,6,3,1]
[7,3,6,2,4,1,5]=>[6,5,7,4,2,3,1]
[7,3,6,2,4,5,1]=>[6,5,3,7,4,2,1]
[7,3,6,2,5,1,4]=>[6,7,5,4,2,3,1]
[7,3,6,2,5,4,1]=>[7,5,3,6,4,2,1]
[7,3,6,4,1,2,5]=>[4,5,6,7,2,3,1]
[7,3,6,4,1,5,2]=>[7,5,6,3,4,2,1]
[7,3,6,4,2,1,5]=>[4,6,5,7,2,3,1]
[7,3,6,4,2,5,1]=>[7,6,5,3,4,2,1]
[7,3,6,4,5,1,2]=>[4,7,6,5,3,2,1]
[7,3,6,4,5,2,1]=>[4,6,7,5,3,2,1]
[7,3,6,5,1,2,4]=>[7,5,6,4,2,3,1]
[7,3,6,5,1,4,2]=>[6,5,7,3,4,2,1]
[7,3,6,5,2,1,4]=>[7,6,5,4,2,3,1]
[7,3,6,5,2,4,1]=>[5,6,7,3,4,2,1]
[7,3,6,5,4,1,2]=>[4,6,7,5,3,2,1]
[7,3,6,5,4,2,1]=>[4,7,6,5,3,2,1]
[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]
[7,4,1,2,3,6,5]=>[3,4,5,2,7,6,1]
[7,4,1,2,5,3,6]=>[3,4,5,6,2,7,1]
[7,4,1,2,5,6,3]=>[3,4,5,6,7,2,1]
[7,4,1,2,6,3,5]=>[3,4,7,6,2,5,1]
[7,4,1,2,6,5,3]=>[3,4,5,7,6,2,1]
[7,4,1,3,2,5,6]=>[3,5,4,2,6,7,1]
[7,4,1,3,2,6,5]=>[3,5,4,2,7,6,1]
[7,4,1,3,5,2,6]=>[3,5,4,6,2,7,1]
[7,4,1,3,5,6,2]=>[3,5,4,6,7,2,1]
[7,4,1,3,6,2,5]=>[3,7,4,6,2,5,1]
[7,4,1,3,6,5,2]=>[3,5,4,7,6,2,1]
[7,4,1,5,2,3,6]=>[3,6,5,4,2,7,1]
[7,4,1,5,2,6,3]=>[3,6,5,4,7,2,1]
[7,4,1,5,3,2,6]=>[3,5,6,4,2,7,1]
[7,4,1,5,3,6,2]=>[3,5,6,4,7,2,1]
[7,4,1,5,6,2,3]=>[3,5,7,6,4,2,1]
[7,4,1,5,6,3,2]=>[3,5,6,7,4,2,1]
[7,4,1,6,2,3,5]=>[3,6,5,7,2,4,1]
[7,4,1,6,2,5,3]=>[3,7,5,4,6,2,1]
[7,4,1,6,3,2,5]=>[3,5,6,7,2,4,1]
[7,4,1,6,3,5,2]=>[3,7,6,4,5,2,1]
[7,4,1,6,5,2,3]=>[3,5,6,7,4,2,1]
[7,4,1,6,5,3,2]=>[3,5,7,6,4,2,1]
[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]
[7,4,2,1,3,6,5]=>[4,3,5,2,7,6,1]
[7,4,2,1,5,3,6]=>[4,3,5,6,2,7,1]
[7,4,2,1,5,6,3]=>[4,3,5,6,7,2,1]
[7,4,2,1,6,3,5]=>[4,3,7,6,2,5,1]
[7,4,2,1,6,5,3]=>[4,3,5,7,6,2,1]
[7,4,2,3,1,5,6]=>[4,5,3,2,6,7,1]
[7,4,2,3,1,6,5]=>[4,5,3,2,7,6,1]
[7,4,2,3,5,1,6]=>[4,5,3,6,2,7,1]
[7,4,2,3,5,6,1]=>[4,5,3,6,7,2,1]
[7,4,2,3,6,1,5]=>[4,7,3,6,2,5,1]
[7,4,2,3,6,5,1]=>[4,5,3,7,6,2,1]
[7,4,2,5,1,3,6]=>[6,3,5,4,2,7,1]
[7,4,2,5,1,6,3]=>[6,3,5,4,7,2,1]
[7,4,2,5,3,1,6]=>[4,5,6,3,2,7,1]
[7,4,2,5,3,6,1]=>[4,5,6,3,7,2,1]
[7,4,2,5,6,1,3]=>[5,3,7,6,4,2,1]
[7,4,2,5,6,3,1]=>[4,5,6,7,3,2,1]
[7,4,2,6,1,3,5]=>[6,3,5,7,2,4,1]
[7,4,2,6,1,5,3]=>[7,3,5,4,6,2,1]
[7,4,2,6,3,1,5]=>[7,5,6,3,2,4,1]
[7,4,2,6,3,5,1]=>[4,7,6,3,5,2,1]
[7,4,2,6,5,1,3]=>[5,3,6,7,4,2,1]
[7,4,2,6,5,3,1]=>[4,5,7,6,3,2,1]
[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]
[7,4,3,1,2,6,5]=>[4,5,3,2,7,6,1]
[7,4,3,1,5,2,6]=>[4,5,3,6,2,7,1]
[7,4,3,1,5,6,2]=>[4,5,3,6,7,2,1]
[7,4,3,1,6,2,5]=>[4,7,3,6,2,5,1]
[7,4,3,1,6,5,2]=>[4,5,3,7,6,2,1]
[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]
[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]
[7,4,3,2,5,1,6]=>[5,4,3,6,2,7,1]
[7,4,3,2,5,6,1]=>[5,4,3,6,7,2,1]
[7,4,3,2,6,1,5]=>[7,4,3,6,2,5,1]
[7,4,3,2,6,5,1]=>[5,4,3,7,6,2,1]
[7,4,3,5,1,2,6]=>[6,4,5,3,2,7,1]
[7,4,3,5,1,6,2]=>[6,4,5,3,7,2,1]
[7,4,3,5,2,1,6]=>[5,4,6,3,2,7,1]
[7,4,3,5,2,6,1]=>[5,4,6,3,7,2,1]
[7,4,3,5,6,1,2]=>[5,4,7,6,3,2,1]
[7,4,3,5,6,2,1]=>[5,4,6,7,3,2,1]
[7,4,3,6,1,2,5]=>[6,7,5,3,2,4,1]
[7,4,3,6,1,5,2]=>[7,4,5,3,6,2,1]
[7,4,3,6,2,1,5]=>[5,7,6,3,2,4,1]
[7,4,3,6,2,5,1]=>[7,4,6,3,5,2,1]
[7,4,3,6,5,1,2]=>[5,4,6,7,3,2,1]
[7,4,3,6,5,2,1]=>[5,4,7,6,3,2,1]
[7,4,5,1,2,3,6]=>[5,4,6,3,2,7,1]
[7,4,5,1,2,6,3]=>[5,4,6,3,7,2,1]
[7,4,5,1,3,2,6]=>[6,4,5,3,2,7,1]
[7,4,5,1,3,6,2]=>[6,4,5,3,7,2,1]
[7,4,5,1,6,2,3]=>[7,4,5,6,3,2,1]
[7,4,5,1,6,3,2]=>[6,4,5,7,3,2,1]
[7,4,5,2,1,3,6]=>[4,5,6,3,2,7,1]
[7,4,5,2,1,6,3]=>[4,5,6,3,7,2,1]
[7,4,5,2,3,1,6]=>[6,5,4,3,2,7,1]
[7,4,5,2,3,6,1]=>[6,5,4,3,7,2,1]
[7,4,5,2,6,1,3]=>[4,7,5,6,3,2,1]
[7,4,5,2,6,3,1]=>[6,5,4,7,3,2,1]
[7,4,5,3,1,2,6]=>[6,5,4,3,2,7,1]
[7,4,5,3,1,6,2]=>[6,5,4,3,7,2,1]
[7,4,5,3,2,1,6]=>[5,6,4,3,2,7,1]
[7,4,5,3,2,6,1]=>[5,6,4,3,7,2,1]
[7,4,5,3,6,1,2]=>[5,7,4,6,3,2,1]
[7,4,5,3,6,2,1]=>[5,6,4,7,3,2,1]
[7,4,5,6,1,2,3]=>[7,6,5,4,3,2,1]
[7,4,5,6,1,3,2]=>[6,7,5,4,3,2,1]
[7,4,5,6,2,1,3]=>[7,5,6,4,3,2,1]
[7,4,5,6,2,3,1]=>[5,7,6,4,3,2,1]
[7,4,5,6,3,1,2]=>[5,7,6,4,3,2,1]
[7,4,5,6,3,2,1]=>[5,6,7,4,3,2,1]
[7,4,6,1,2,3,5]=>[5,4,6,7,2,3,1]
[7,4,6,1,2,5,3]=>[5,4,7,3,6,2,1]
[7,4,6,1,3,2,5]=>[6,4,5,7,2,3,1]
[7,4,6,1,3,5,2]=>[6,4,7,3,5,2,1]
[7,4,6,1,5,2,3]=>[6,4,5,7,3,2,1]
[7,4,6,1,5,3,2]=>[7,4,5,6,3,2,1]
[7,4,6,2,1,3,5]=>[4,5,6,7,2,3,1]
[7,4,6,2,1,5,3]=>[4,5,7,3,6,2,1]
[7,4,6,2,3,1,5]=>[6,5,4,7,2,3,1]
[7,4,6,2,3,5,1]=>[6,5,7,3,4,2,1]
[7,4,6,2,5,1,3]=>[6,7,5,4,3,2,1]
[7,4,6,2,5,3,1]=>[7,5,4,6,3,2,1]
[7,4,6,3,1,2,5]=>[6,5,4,7,2,3,1]
[7,4,6,3,1,5,2]=>[6,5,7,3,4,2,1]
[7,4,6,3,2,1,5]=>[5,6,4,7,2,3,1]
[7,4,6,3,2,5,1]=>[5,6,7,3,4,2,1]
[7,4,6,3,5,1,2]=>[6,7,4,5,3,2,1]
[7,4,6,3,5,2,1]=>[7,6,4,5,3,2,1]
[7,4,6,5,1,2,3]=>[7,5,6,4,3,2,1]
[7,4,6,5,1,3,2]=>[6,5,7,4,3,2,1]
[7,4,6,5,2,1,3]=>[7,6,5,4,3,2,1]
[7,4,6,5,2,3,1]=>[5,6,7,4,3,2,1]
[7,4,6,5,3,1,2]=>[5,6,7,4,3,2,1]
[7,4,6,5,3,2,1]=>[5,7,6,4,3,2,1]
[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]
[7,5,1,2,3,6,4]=>[3,4,5,6,7,2,1]
[7,5,1,2,4,3,6]=>[3,4,6,5,2,7,1]
[7,5,1,2,4,6,3]=>[3,4,6,5,7,2,1]
[7,5,1,2,6,3,4]=>[3,4,7,6,5,2,1]
[7,5,1,2,6,4,3]=>[3,4,6,7,5,2,1]
[7,5,1,3,2,4,6]=>[3,5,4,6,2,7,1]
[7,5,1,3,2,6,4]=>[3,5,4,6,7,2,1]
[7,5,1,3,4,2,6]=>[3,5,6,4,2,7,1]
[7,5,1,3,4,6,2]=>[3,5,6,4,7,2,1]
[7,5,1,3,6,2,4]=>[3,7,4,6,5,2,1]
[7,5,1,3,6,4,2]=>[3,5,6,7,4,2,1]
[7,5,1,4,2,3,6]=>[3,5,6,4,2,7,1]
[7,5,1,4,2,6,3]=>[3,5,6,4,7,2,1]
[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1]
[7,5,1,4,3,6,2]=>[3,6,5,4,7,2,1]
[7,5,1,4,6,2,3]=>[3,7,5,6,4,2,1]
[7,5,1,4,6,3,2]=>[3,6,5,7,4,2,1]
[7,5,1,6,2,3,4]=>[3,6,5,7,4,2,1]
[7,5,1,6,2,4,3]=>[3,7,5,6,4,2,1]
[7,5,1,6,3,2,4]=>[3,5,6,7,4,2,1]
[7,5,1,6,3,4,2]=>[3,7,6,5,4,2,1]
[7,5,1,6,4,2,3]=>[3,7,6,5,4,2,1]
[7,5,1,6,4,3,2]=>[3,6,7,5,4,2,1]
[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]
[7,5,2,1,3,6,4]=>[4,3,5,6,7,2,1]
[7,5,2,1,4,3,6]=>[4,3,6,5,2,7,1]
[7,5,2,1,4,6,3]=>[4,3,6,5,7,2,1]
[7,5,2,1,6,3,4]=>[4,3,7,6,5,2,1]
[7,5,2,1,6,4,3]=>[4,3,6,7,5,2,1]
[7,5,2,3,1,4,6]=>[4,5,3,6,2,7,1]
[7,5,2,3,1,6,4]=>[4,5,3,6,7,2,1]
[7,5,2,3,4,1,6]=>[4,5,6,3,2,7,1]
[7,5,2,3,4,6,1]=>[4,5,6,3,7,2,1]
[7,5,2,3,6,1,4]=>[4,7,3,6,5,2,1]
[7,5,2,3,6,4,1]=>[4,5,6,7,3,2,1]
[7,5,2,4,1,3,6]=>[6,5,3,4,2,7,1]
[7,5,2,4,1,6,3]=>[6,5,3,4,7,2,1]
[7,5,2,4,3,1,6]=>[4,6,5,3,2,7,1]
[7,5,2,4,3,6,1]=>[4,6,5,3,7,2,1]
[7,5,2,4,6,1,3]=>[5,7,3,6,4,2,1]
[7,5,2,4,6,3,1]=>[4,6,5,7,3,2,1]
[7,5,2,6,1,3,4]=>[6,3,5,7,4,2,1]
[7,5,2,6,1,4,3]=>[7,3,5,6,4,2,1]
[7,5,2,6,3,1,4]=>[7,5,6,3,4,2,1]
[7,5,2,6,3,4,1]=>[4,7,6,5,3,2,1]
[7,5,2,6,4,1,3]=>[5,7,6,3,4,2,1]
[7,5,2,6,4,3,1]=>[4,6,7,5,3,2,1]
[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]
[7,5,3,1,2,6,4]=>[4,5,3,6,7,2,1]
[7,5,3,1,4,2,6]=>[4,5,6,3,2,7,1]
[7,5,3,1,4,6,2]=>[4,5,6,3,7,2,1]
[7,5,3,1,6,2,4]=>[4,7,3,6,5,2,1]
[7,5,3,1,6,4,2]=>[4,5,6,7,3,2,1]
[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]
[7,5,3,2,1,6,4]=>[5,4,3,6,7,2,1]
[7,5,3,2,4,1,6]=>[5,4,6,3,2,7,1]
[7,5,3,2,4,6,1]=>[5,4,6,3,7,2,1]
[7,5,3,2,6,1,4]=>[7,4,3,6,5,2,1]
[7,5,3,2,6,4,1]=>[5,4,6,7,3,2,1]
[7,5,3,4,1,2,6]=>[6,5,4,3,2,7,1]
[7,5,3,4,1,6,2]=>[6,5,4,3,7,2,1]
[7,5,3,4,2,1,6]=>[5,6,4,3,2,7,1]
[7,5,3,4,2,6,1]=>[5,6,4,3,7,2,1]
[7,5,3,4,6,1,2]=>[5,7,4,6,3,2,1]
[7,5,3,4,6,2,1]=>[5,6,4,7,3,2,1]
[7,5,3,6,1,2,4]=>[6,7,5,3,4,2,1]
[7,5,3,6,1,4,2]=>[7,4,5,6,3,2,1]
[7,5,3,6,2,1,4]=>[5,7,6,3,4,2,1]
[7,5,3,6,2,4,1]=>[7,4,6,5,3,2,1]
[7,5,3,6,4,1,2]=>[5,7,6,4,3,2,1]
[7,5,3,6,4,2,1]=>[5,6,7,4,3,2,1]
[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]
[7,5,4,1,2,6,3]=>[4,5,6,3,7,2,1]
[7,5,4,1,3,2,6]=>[4,6,5,3,2,7,1]
[7,5,4,1,3,6,2]=>[4,6,5,3,7,2,1]
[7,5,4,1,6,2,3]=>[4,7,5,6,3,2,1]
[7,5,4,1,6,3,2]=>[4,6,5,7,3,2,1]
[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]
[7,5,4,2,1,6,3]=>[5,4,6,3,7,2,1]
[7,5,4,2,3,1,6]=>[5,6,4,3,2,7,1]
[7,5,4,2,3,6,1]=>[5,6,4,3,7,2,1]
[7,5,4,2,6,1,3]=>[7,4,5,6,3,2,1]
[7,5,4,2,6,3,1]=>[5,6,4,7,3,2,1]
[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]
[7,5,4,3,1,6,2]=>[5,6,4,3,7,2,1]
[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]
[7,5,4,3,2,6,1]=>[6,5,4,3,7,2,1]
[7,5,4,3,6,1,2]=>[7,5,4,6,3,2,1]
[7,5,4,3,6,2,1]=>[6,5,4,7,3,2,1]
[7,5,4,6,1,2,3]=>[6,7,5,4,3,2,1]
[7,5,4,6,1,3,2]=>[7,6,5,4,3,2,1]
[7,5,4,6,2,1,3]=>[5,7,6,4,3,2,1]
[7,5,4,6,2,3,1]=>[7,5,6,4,3,2,1]
[7,5,4,6,3,1,2]=>[7,5,6,4,3,2,1]
[7,5,4,6,3,2,1]=>[6,5,7,4,3,2,1]
[7,5,6,1,2,3,4]=>[5,4,6,7,3,2,1]
[7,5,6,1,2,4,3]=>[5,4,7,6,3,2,1]
[7,5,6,1,3,2,4]=>[6,4,5,7,3,2,1]
[7,5,6,1,3,4,2]=>[6,4,7,5,3,2,1]
[7,5,6,1,4,2,3]=>[6,4,7,5,3,2,1]
[7,5,6,1,4,3,2]=>[7,4,6,5,3,2,1]
[7,5,6,2,1,3,4]=>[4,5,6,7,3,2,1]
[7,5,6,2,1,4,3]=>[4,5,7,6,3,2,1]
[7,5,6,2,3,1,4]=>[6,5,4,7,3,2,1]
[7,5,6,2,3,4,1]=>[6,5,7,4,3,2,1]
[7,5,6,2,4,1,3]=>[6,7,4,5,3,2,1]
[7,5,6,2,4,3,1]=>[7,5,6,4,3,2,1]
[7,5,6,3,1,2,4]=>[6,5,4,7,3,2,1]
[7,5,6,3,1,4,2]=>[6,5,7,4,3,2,1]
[7,5,6,3,2,1,4]=>[5,6,4,7,3,2,1]
[7,5,6,3,2,4,1]=>[5,6,7,4,3,2,1]
[7,5,6,3,4,1,2]=>[6,7,5,4,3,2,1]
[7,5,6,3,4,2,1]=>[7,6,5,4,3,2,1]
[7,5,6,4,1,2,3]=>[6,5,7,4,3,2,1]
[7,5,6,4,1,3,2]=>[7,5,6,4,3,2,1]
[7,5,6,4,2,1,3]=>[5,6,7,4,3,2,1]
[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]
[7,5,6,4,3,1,2]=>[7,6,5,4,3,2,1]
[7,5,6,4,3,2,1]=>[6,7,5,4,3,2,1]
[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]
[7,6,1,2,3,5,4]=>[3,4,5,7,6,2,1]
[7,6,1,2,4,3,5]=>[3,4,6,5,7,2,1]
[7,6,1,2,4,5,3]=>[3,4,6,7,5,2,1]
[7,6,1,2,5,3,4]=>[3,4,6,7,5,2,1]
[7,6,1,2,5,4,3]=>[3,4,7,6,5,2,1]
[7,6,1,3,2,4,5]=>[3,5,4,6,7,2,1]
[7,6,1,3,2,5,4]=>[3,5,4,7,6,2,1]
[7,6,1,3,4,2,5]=>[3,5,6,4,7,2,1]
[7,6,1,3,4,5,2]=>[3,5,6,7,4,2,1]
[7,6,1,3,5,2,4]=>[3,7,6,4,5,2,1]
[7,6,1,3,5,4,2]=>[3,5,7,6,4,2,1]
[7,6,1,4,2,3,5]=>[3,5,6,4,7,2,1]
[7,6,1,4,2,5,3]=>[3,5,6,7,4,2,1]
[7,6,1,4,3,2,5]=>[3,6,5,4,7,2,1]
[7,6,1,4,3,5,2]=>[3,6,5,7,4,2,1]
[7,6,1,4,5,2,3]=>[3,7,6,5,4,2,1]
[7,6,1,4,5,3,2]=>[3,6,7,5,4,2,1]
[7,6,1,5,2,3,4]=>[3,5,6,7,4,2,1]
[7,6,1,5,2,4,3]=>[3,5,7,6,4,2,1]
[7,6,1,5,3,2,4]=>[3,6,5,7,4,2,1]
[7,6,1,5,3,4,2]=>[3,6,7,5,4,2,1]
[7,6,1,5,4,2,3]=>[3,6,7,5,4,2,1]
[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]
[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]
[7,6,2,1,3,5,4]=>[4,3,5,7,6,2,1]
[7,6,2,1,4,3,5]=>[4,3,6,5,7,2,1]
[7,6,2,1,4,5,3]=>[4,3,6,7,5,2,1]
[7,6,2,1,5,3,4]=>[4,3,6,7,5,2,1]
[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]
[7,6,2,3,1,4,5]=>[4,5,3,6,7,2,1]
[7,6,2,3,1,5,4]=>[4,5,3,7,6,2,1]
[7,6,2,3,4,1,5]=>[4,5,6,3,7,2,1]
[7,6,2,3,4,5,1]=>[4,5,6,7,3,2,1]
[7,6,2,3,5,1,4]=>[4,7,6,3,5,2,1]
[7,6,2,3,5,4,1]=>[4,5,7,6,3,2,1]
[7,6,2,4,1,3,5]=>[6,5,3,4,7,2,1]
[7,6,2,4,1,5,3]=>[6,5,3,7,4,2,1]
[7,6,2,4,3,1,5]=>[4,6,5,3,7,2,1]
[7,6,2,4,3,5,1]=>[4,6,5,7,3,2,1]
[7,6,2,4,5,1,3]=>[5,7,6,3,4,2,1]
[7,6,2,4,5,3,1]=>[4,6,7,5,3,2,1]
[7,6,2,5,1,3,4]=>[6,5,3,7,4,2,1]
[7,6,2,5,1,4,3]=>[7,5,3,6,4,2,1]
[7,6,2,5,3,1,4]=>[7,6,5,3,4,2,1]
[7,6,2,5,3,4,1]=>[4,6,7,5,3,2,1]
[7,6,2,5,4,1,3]=>[5,6,7,3,4,2,1]
[7,6,2,5,4,3,1]=>[4,7,6,5,3,2,1]
[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]
[7,6,3,1,2,5,4]=>[4,5,3,7,6,2,1]
[7,6,3,1,4,2,5]=>[4,5,6,3,7,2,1]
[7,6,3,1,4,5,2]=>[4,5,6,7,3,2,1]
[7,6,3,1,5,2,4]=>[4,7,6,3,5,2,1]
[7,6,3,1,5,4,2]=>[4,5,7,6,3,2,1]
[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]
[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]
[7,6,3,2,4,1,5]=>[5,4,6,3,7,2,1]
[7,6,3,2,4,5,1]=>[5,4,6,7,3,2,1]
[7,6,3,2,5,1,4]=>[7,4,6,3,5,2,1]
[7,6,3,2,5,4,1]=>[5,4,7,6,3,2,1]
[7,6,3,4,1,2,5]=>[6,5,4,3,7,2,1]
[7,6,3,4,1,5,2]=>[6,5,4,7,3,2,1]
[7,6,3,4,2,1,5]=>[5,6,4,3,7,2,1]
[7,6,3,4,2,5,1]=>[5,6,4,7,3,2,1]
[7,6,3,4,5,1,2]=>[5,7,6,4,3,2,1]
[7,6,3,4,5,2,1]=>[5,6,7,4,3,2,1]
[7,6,3,5,1,2,4]=>[6,5,7,3,4,2,1]
[7,6,3,5,1,4,2]=>[7,5,4,6,3,2,1]
[7,6,3,5,2,1,4]=>[5,6,7,3,4,2,1]
[7,6,3,5,2,4,1]=>[7,6,4,5,3,2,1]
[7,6,3,5,4,1,2]=>[5,6,7,4,3,2,1]
[7,6,3,5,4,2,1]=>[5,7,6,4,3,2,1]
[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]
[7,6,4,1,2,5,3]=>[4,5,6,7,3,2,1]
[7,6,4,1,3,2,5]=>[4,6,5,3,7,2,1]
[7,6,4,1,3,5,2]=>[4,6,5,7,3,2,1]
[7,6,4,1,5,2,3]=>[4,7,6,5,3,2,1]
[7,6,4,1,5,3,2]=>[4,6,7,5,3,2,1]
[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]
[7,6,4,2,1,5,3]=>[5,4,6,7,3,2,1]
[7,6,4,2,3,1,5]=>[5,6,4,3,7,2,1]
[7,6,4,2,3,5,1]=>[5,6,4,7,3,2,1]
[7,6,4,2,5,1,3]=>[7,4,6,5,3,2,1]
[7,6,4,2,5,3,1]=>[5,6,7,4,3,2,1]
[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]
[7,6,4,3,1,5,2]=>[5,6,4,7,3,2,1]
[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]
[7,6,4,3,2,5,1]=>[6,5,4,7,3,2,1]
[7,6,4,3,5,1,2]=>[7,5,6,4,3,2,1]
[7,6,4,3,5,2,1]=>[6,5,7,4,3,2,1]
[7,6,4,5,1,2,3]=>[6,5,7,4,3,2,1]
[7,6,4,5,1,3,2]=>[7,5,6,4,3,2,1]
[7,6,4,5,2,1,3]=>[5,6,7,4,3,2,1]
[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]
[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]
[7,6,4,5,3,2,1]=>[6,7,5,4,3,2,1]
[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]
[7,6,5,1,2,4,3]=>[4,5,7,6,3,2,1]
[7,6,5,1,3,2,4]=>[4,6,5,7,3,2,1]
[7,6,5,1,3,4,2]=>[4,6,7,5,3,2,1]
[7,6,5,1,4,2,3]=>[4,6,7,5,3,2,1]
[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]
[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]
[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]
[7,6,5,2,3,1,4]=>[5,6,4,7,3,2,1]
[7,6,5,2,3,4,1]=>[5,6,7,4,3,2,1]
[7,6,5,2,4,1,3]=>[7,6,4,5,3,2,1]
[7,6,5,2,4,3,1]=>[5,7,6,4,3,2,1]
[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]
[7,6,5,3,1,4,2]=>[5,6,7,4,3,2,1]
[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]
[7,6,5,3,2,4,1]=>[6,5,7,4,3,2,1]
[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]
[7,6,5,3,4,2,1]=>[6,7,5,4,3,2,1]
[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]
[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1]
[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]
[7,6,5,4,2,3,1]=>[6,7,5,4,3,2,1]
[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]
[5,6,7,8,4,3,2,1]=>[5,6,7,8,4,3,2,1]
[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]
[5,6,7,8,3,4,2,1]=>[5,6,8,7,4,3,2,1]
[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]
[5,6,7,8,4,2,3,1]=>[5,6,8,7,4,3,2,1]
[8,6,5,7,3,2,4,1]=>[6,8,7,5,4,3,2,1]
[5,6,7,8,3,2,4,1]=>[5,8,6,7,4,3,2,1]
[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]
[5,6,7,8,2,3,4,1]=>[5,8,7,6,4,3,2,1]
[7,8,3,2,4,5,6,1]=>[4,5,6,7,8,3,2,1]
[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]
[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]
[5,6,7,8,4,3,1,2]=>[5,6,8,7,4,3,2,1]
[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]
[6,5,7,8,3,4,1,2]=>[6,5,7,8,4,3,2,1]
[5,6,7,8,3,4,1,2]=>[5,6,7,8,4,3,2,1]
[7,8,4,3,5,6,1,2]=>[5,6,8,7,4,3,2,1]
[7,8,3,4,5,6,1,2]=>[6,5,8,7,4,3,2,1]
[8,4,3,5,6,7,1,2]=>[5,4,6,8,7,3,2,1]
[6,3,4,5,7,8,1,2]=>[4,5,6,3,8,7,2,1]
[5,4,3,6,7,8,1,2]=>[5,4,3,6,8,7,2,1]
[4,3,5,6,7,8,1,2]=>[4,3,5,6,8,7,2,1]
[3,4,5,6,7,8,1,2]=>[3,4,5,6,8,7,2,1]
[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1]
[7,6,8,5,4,2,1,3]=>[6,8,7,5,4,3,2,1]
[5,6,7,8,4,2,1,3]=>[5,8,6,7,4,3,2,1]
[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]
[5,6,7,8,4,1,2,3]=>[5,8,7,6,4,3,2,1]
[7,6,5,8,3,2,1,4]=>[6,5,8,7,4,3,2,1]
[5,6,7,8,3,2,1,4]=>[8,5,6,7,4,3,2,1]
[7,5,6,8,2,3,1,4]=>[5,7,8,6,4,3,2,1]
[5,6,7,8,2,3,1,4]=>[8,5,7,6,4,3,2,1]
[6,7,5,8,3,1,2,4]=>[5,7,8,6,4,3,2,1]
[5,6,7,8,3,1,2,4]=>[8,5,7,6,4,3,2,1]
[7,8,6,5,2,1,3,4]=>[5,6,7,8,4,3,2,1]
[6,7,8,5,2,1,3,4]=>[7,5,6,8,4,3,2,1]
[7,8,5,6,2,1,3,4]=>[6,5,7,8,4,3,2,1]
[6,5,7,8,2,1,3,4]=>[7,8,5,6,4,3,2,1]
[5,6,7,8,2,1,3,4]=>[8,7,5,6,4,3,2,1]
[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1]
[7,8,6,5,1,2,3,4]=>[6,5,7,8,4,3,2,1]
[8,6,7,5,1,2,3,4]=>[6,5,7,8,4,3,2,1]
[7,6,8,5,1,2,3,4]=>[6,7,5,8,4,3,2,1]
[6,7,8,5,1,2,3,4]=>[7,6,5,8,4,3,2,1]
[8,7,5,6,1,2,3,4]=>[6,5,7,8,4,3,2,1]
[7,8,5,6,1,2,3,4]=>[5,6,7,8,4,3,2,1]
[8,6,5,7,1,2,3,4]=>[6,7,5,8,4,3,2,1]
[8,5,6,7,1,2,3,4]=>[7,6,5,8,4,3,2,1]
[7,6,5,8,1,2,3,4]=>[6,7,8,5,4,3,2,1]
[6,7,5,8,1,2,3,4]=>[7,6,8,5,4,3,2,1]
[7,5,6,8,1,2,3,4]=>[7,6,8,5,4,3,2,1]
[6,5,7,8,1,2,3,4]=>[7,8,6,5,4,3,2,1]
[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]
[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1]
[8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1]
[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1]
[7,8,6,1,2,3,4,5]=>[5,4,6,7,8,3,2,1]
[8,6,7,1,2,3,4,5]=>[5,4,6,7,8,3,2,1]
[7,6,8,1,2,3,4,5]=>[5,6,4,7,8,3,2,1]
[6,7,8,1,2,3,4,5]=>[6,5,4,7,8,3,2,1]
[7,8,5,4,2,1,3,6]=>[5,6,7,4,3,8,2,1]
[7,8,5,4,1,2,3,6]=>[6,5,7,4,3,8,2,1]
[8,7,5,2,1,3,4,6]=>[5,4,6,7,3,8,2,1]
[7,8,5,2,1,3,4,6]=>[4,5,6,7,3,8,2,1]
[8,7,5,1,2,3,4,6]=>[4,5,6,7,3,8,2,1]
[7,8,5,1,2,3,4,6]=>[5,4,6,7,3,8,2,1]
[7,8,3,2,1,4,5,6]=>[4,5,3,6,7,8,2,1]
[7,8,1,2,3,4,5,6]=>[4,3,5,6,7,8,2,1]
[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1]
[8,4,5,6,3,2,1,7]=>[5,6,7,4,3,2,8,1]
[8,6,5,4,3,1,2,7]=>[6,7,5,4,3,2,8,1]
[8,5,6,3,4,1,2,7]=>[6,7,5,4,3,2,8,1]
[8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1]
[8,6,5,2,3,1,4,7]=>[5,6,4,7,3,2,8,1]
[8,5,6,2,3,1,4,7]=>[6,5,4,7,3,2,8,1]
[8,6,5,1,2,3,4,7]=>[4,5,6,7,3,2,8,1]
[8,5,6,1,2,3,4,7]=>[5,4,6,7,3,2,8,1]
[8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1]
[8,6,3,4,2,1,5,7]=>[5,6,4,3,7,2,8,1]
[8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1]
[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]
[7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]
[6,7,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]
[6,5,7,3,2,4,1,8]=>[5,7,6,4,3,2,1,8]
[7,6,5,2,3,4,1,8]=>[5,6,7,4,3,2,1,8]
[6,7,5,2,3,4,1,8]=>[6,5,7,4,3,2,1,8]
[7,5,6,2,3,4,1,8]=>[6,5,7,4,3,2,1,8]
[6,5,7,2,3,4,1,8]=>[6,7,5,4,3,2,1,8]
[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]
[7,6,5,1,2,3,4,8]=>[4,5,6,7,3,2,1,8]
[6,7,5,1,2,3,4,8]=>[5,4,6,7,3,2,1,8]
[7,5,6,1,2,3,4,8]=>[5,4,6,7,3,2,1,8]
[6,5,7,1,2,3,4,8]=>[5,6,4,7,3,2,1,8]
[5,6,7,1,2,3,4,8]=>[6,5,4,7,3,2,1,8]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[3,5,8,7,6,4,2,1]=>[3,5,8,7,6,4,2,1]
[3,5,6,7,8,4,2,1]=>[3,5,6,7,8,4,2,1]
[2,6,8,7,5,4,3,1]=>[2,6,8,7,5,4,3,1]
[2,5,6,7,8,4,3,1]=>[2,5,6,7,8,4,3,1]
[2,3,5,6,8,7,4,1]=>[2,3,5,6,8,7,4,1]
[2,3,5,6,7,8,4,1]=>[2,3,5,6,7,8,4,1]
[3,4,2,5,7,8,6,1]=>[3,4,2,5,7,8,6,1]
[4,3,6,5,7,2,8,1]=>[4,3,6,5,7,2,8,1]
[3,2,6,5,7,4,8,1]=>[3,2,6,5,7,4,8,1]
[4,3,5,2,7,6,8,1]=>[4,3,5,2,7,6,8,1]
[3,2,5,4,7,6,8,1]=>[3,2,5,4,7,6,8,1]
[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]
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,4,3,2]
[1,3,5,7,8,6,4,2]=>[1,3,5,7,8,6,4,2]
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,4,2]
[1,4,3,8,7,6,5,2]=>[1,4,3,8,7,6,5,2]
[1,6,5,4,3,8,7,2]=>[1,6,5,4,3,8,7,2]
[1,4,3,6,5,8,7,2]=>[1,4,3,6,5,8,7,2]
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]
[2,1,6,7,8,5,4,3]=>[2,1,6,7,8,5,4,3]
[2,1,6,7,5,8,4,3]=>[2,1,6,7,5,8,4,3]
[2,1,5,6,7,8,4,3]=>[2,1,5,6,7,8,4,3]
[2,1,6,5,7,4,8,3]=>[2,1,6,5,7,4,8,3]
[2,1,5,4,7,6,8,3]=>[2,1,5,4,7,6,8,3]
[2,1,4,5,6,7,8,3]=>[2,1,4,5,6,7,8,3]
[1,2,6,7,8,5,4,3]=>[1,2,6,7,8,5,4,3]
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,4,3]
[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]
[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,8,7,4]
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]
[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]
[4,3,2,1,6,8,7,5]=>[4,3,2,1,6,8,7,5]
[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]
[3,4,2,1,8,7,6,5]=>[3,4,2,1,8,7,6,5]
[3,4,2,1,7,8,6,5]=>[3,4,2,1,7,8,6,5]
[2,4,3,1,8,7,6,5]=>[2,4,3,1,8,7,6,5]
[2,4,3,1,6,8,7,5]=>[2,4,3,1,6,8,7,5]
[2,4,3,1,7,6,8,5]=>[2,4,3,1,7,6,8,5]
[3,2,4,1,8,7,6,5]=>[3,2,4,1,8,7,6,5]
[3,2,4,1,6,8,7,5]=>[3,2,4,1,6,8,7,5]
[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,8,5]
[2,3,4,1,8,7,6,5]=>[2,3,4,1,8,7,6,5]
[2,3,4,1,6,7,8,5]=>[2,3,4,1,6,7,8,5]
[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]
[1,3,4,2,8,7,6,5]=>[1,3,4,2,8,7,6,5]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]
[2,1,4,3,7,8,6,5]=>[2,1,4,3,7,8,6,5]
[2,1,4,3,6,8,7,5]=>[2,1,4,3,6,8,7,5]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,7,6,8,5]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,6,7,8,5]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]
[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]
[2,3,1,4,8,7,6,5]=>[2,3,1,4,8,7,6,5]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]
[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]
[3,2,5,4,1,8,7,6]=>[3,2,5,4,1,8,7,6]
[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]
[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,7,8,6]
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]
[2,3,1,4,5,7,8,6]=>[2,3,1,4,5,7,8,6]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]
[4,5,6,3,2,1,8,7]=>[4,5,6,3,2,1,8,7]
[4,5,3,6,2,1,8,7]=>[4,5,3,6,2,1,8,7]
[4,3,5,2,6,1,8,7]=>[4,3,5,2,6,1,8,7]
[3,2,5,4,6,1,8,7]=>[3,2,5,4,6,1,8,7]
[2,3,4,5,6,1,8,7]=>[2,3,4,5,6,1,8,7]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]
[2,1,5,6,4,3,8,7]=>[2,1,5,6,4,3,8,7]
[2,1,4,6,5,3,8,7]=>[2,1,4,6,5,3,8,7]
[2,1,5,4,6,3,8,7]=>[2,1,5,4,6,3,8,7]
[2,1,4,5,6,3,8,7]=>[2,1,4,5,6,3,8,7]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]
[3,4,2,1,6,5,8,7]=>[3,4,2,1,6,5,8,7]
[2,4,3,1,6,5,8,7]=>[2,4,3,1,6,5,8,7]
[3,2,4,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]
[2,3,4,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]
[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]
[3,2,7,6,5,4,1,8]=>[3,2,7,6,5,4,1,8]
[5,4,3,2,7,6,1,8]=>[5,4,3,2,7,6,1,8]
[3,2,5,4,7,6,1,8]=>[3,2,5,4,7,6,1,8]
[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]
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]
[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]
[1,8,5,4,7,6,3,2]=>[1,6,5,8,7,4,3,2]
[2,1,4,5,8,6,7,3]=>[2,1,4,5,7,8,6,3]
[2,1,8,5,4,7,6,3]=>[2,1,6,5,8,7,4,3]
[2,3,4,8,5,6,7,1]=>[2,3,4,6,7,8,5,1]
[2,3,6,4,5,1,8,7]=>[2,3,5,6,4,1,8,7]
[4,2,3,1,8,6,7,5]=>[3,4,2,1,7,8,6,5]
[4,2,3,1,8,7,6,5]=>[3,4,2,1,8,7,6,5]
[4,3,2,1,8,6,7,5]=>[4,3,2,1,7,8,6,5]
[6,3,2,5,4,1,8,7]=>[4,3,6,5,2,1,8,7]
[8,3,2,5,4,7,6,1]=>[4,3,6,5,8,7,2,1]
[8,3,2,7,6,5,4,1]=>[4,3,8,7,6,5,2,1]
[7,4,3,6,5,2,1,8]=>[5,4,7,6,3,2,1,8]
[8,5,4,3,2,7,6,1]=>[6,5,4,3,8,7,2,1]
[8,7,4,3,6,5,2,1]=>[6,5,8,7,4,3,2,1]
[2,4,6,8,1,3,5,7]=>[8,7,6,5,1,2,3,4]
[2,4,1,6,7,3,8,5]=>[5,3,1,7,6,2,8,4]
[2,4,6,1,7,3,8,5]=>[5,7,4,1,6,2,8,3]
[2,1,4,3,7,5,8,6]=>[2,1,4,3,6,7,8,5]
[2,4,1,3,7,5,8,6]=>[4,3,1,2,6,7,8,5]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]
[2,1,4,3,8,5,6,7]=>[2,1,4,3,6,7,8,5]
[2,4,5,6,7,1,8,3]=>[3,4,5,7,6,1,8,2]
[2,1,5,3,6,4,8,7]=>[2,1,4,5,6,3,8,7]
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]
[2,1,5,6,7,8,3,4]=>[2,1,5,6,8,7,4,3]
[2,1,5,3,7,4,8,6]=>[2,1,4,7,6,3,8,5]
[2,5,1,7,3,4,8,6]=>[6,3,1,5,7,2,8,4]
[2,1,5,7,3,8,4,6]=>[2,1,8,5,6,7,3,4]
[2,3,5,6,1,7,8,4]=>[2,4,6,5,1,7,8,3]
[2,3,5,6,7,8,1,4]=>[2,4,5,6,8,7,1,3]
[2,1,6,3,7,4,8,5]=>[2,1,4,7,6,5,8,3]
[2,6,7,1,3,4,8,5]=>[6,5,4,1,7,3,8,2]
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]
[2,1,6,3,4,7,8,5]=>[2,1,4,5,6,7,8,3]
[2,1,6,3,4,5,8,7]=>[2,1,4,5,6,3,8,7]
[2,1,8,3,4,5,6,7]=>[2,1,4,5,6,7,8,3]
[3,1,4,2,6,5,8,7]=>[2,3,4,1,6,5,8,7]
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]
[3,1,4,2,6,8,5,7]=>[2,3,4,1,8,7,5,6]
[3,1,4,6,8,2,5,7]=>[2,3,8,7,6,1,4,5]
[3,4,6,1,7,8,2,5]=>[5,6,4,2,8,7,1,3]
[3,1,4,2,7,5,8,6]=>[2,3,4,1,6,7,8,5]
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]
[3,4,7,1,8,2,5,6]=>[8,7,4,2,6,1,5,3]
[3,1,5,2,6,4,8,7]=>[2,5,4,1,6,3,8,7]
[3,5,1,6,2,4,8,7]=>[6,3,4,5,1,2,8,7]
[3,1,5,6,2,8,4,7]=>[2,4,8,5,1,7,3,6]
[3,1,5,2,7,4,8,6]=>[2,7,4,1,6,3,8,5]
[3,5,1,7,2,8,4,6]=>[8,3,6,5,1,7,2,4]
[3,1,5,2,7,4,6,8]=>[2,7,4,1,6,3,5,8]
[3,1,5,2,8,4,6,7]=>[2,7,4,1,6,3,8,5]
[1,3,5,6,2,7,4,8]=>[1,4,6,5,2,7,3,8]
[1,3,5,6,7,8,2,4]=>[1,4,5,6,8,7,2,3]
[3,1,6,2,7,4,8,5]=>[2,7,4,1,6,5,8,3]
[3,6,1,7,2,8,4,5]=>[8,3,6,5,1,7,4,2]
[3,6,7,1,2,8,4,5]=>[8,5,4,6,1,7,3,2]
[3,6,1,7,8,2,4,5]=>[8,3,5,7,6,1,4,2]
[3,1,6,7,2,4,5,8]=>[2,7,6,5,1,4,3,8]
[3,1,2,6,7,4,8,5]=>[2,3,1,7,6,5,8,4]
[3,1,6,8,2,4,5,7]=>[2,7,6,5,1,8,3,4]
[3,1,7,8,2,4,5,6]=>[2,7,6,5,1,8,4,3]
[3,1,2,4,5,8,6,7]=>[2,3,1,4,5,7,8,6]
[4,1,5,2,6,3,8,7]=>[2,5,4,3,6,1,8,7]
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]
[4,1,5,2,6,8,3,7]=>[2,5,4,3,8,7,1,6]
[4,1,5,6,8,2,3,7]=>[2,4,8,7,6,3,1,5]
[4,1,5,2,7,3,8,6]=>[2,7,4,3,6,1,8,5]
[4,1,5,2,7,8,3,6]=>[2,6,4,3,8,7,1,5]
[4,5,7,1,2,8,3,6]=>[8,5,4,6,2,7,1,3]
[4,5,1,7,8,2,3,6]=>[8,3,5,7,6,2,1,4]
[4,5,1,2,7,3,6,8]=>[4,3,7,2,6,1,5,8]
[4,5,1,2,8,3,6,7]=>[4,3,7,2,6,1,8,5]
[1,4,5,6,7,2,3,8]=>[1,4,5,7,6,3,2,8]
[4,1,6,2,7,3,8,5]=>[2,7,4,5,6,1,8,3]
[4,6,7,1,8,2,3,5]=>[8,7,4,5,6,3,1,2]
[4,6,1,7,2,3,5,8]=>[6,3,7,5,4,1,2,8]
[1,4,2,6,7,8,3,5]=>[1,3,5,6,8,7,2,4]
[4,6,1,8,2,3,5,7]=>[6,3,7,5,8,1,2,4]
[4,1,2,6,3,8,5,7]=>[2,3,8,5,1,7,4,6]
[1,4,2,6,3,8,5,7]=>[1,3,8,5,2,7,4,6]
[4,1,2,3,6,5,8,7]=>[2,3,4,1,6,5,8,7]
[4,7,1,8,2,3,5,6]=>[6,3,7,5,8,1,4,2]
[4,1,2,7,8,3,5,6]=>[2,3,8,7,6,1,5,4]
[1,4,2,7,8,3,5,6]=>[1,3,8,7,6,2,5,4]
[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]
[4,1,2,3,8,5,6,7]=>[2,3,4,1,6,7,8,5]
[5,1,6,2,7,3,8,4]=>[2,7,4,5,6,3,8,1]
[5,6,8,1,2,3,4,7]=>[6,5,4,7,8,2,1,3]
[5,1,6,2,3,8,4,7]=>[2,5,4,8,3,7,1,6]
[5,6,1,2,3,8,4,7]=>[4,3,5,8,2,7,1,6]
[1,5,6,2,3,8,4,7]=>[1,5,4,8,3,7,2,6]
[1,2,5,6,3,4,7,8]=>[1,2,6,5,4,3,7,8]
[5,1,7,2,8,3,4,6]=>[2,7,4,8,6,5,1,3]
[5,7,1,2,8,3,4,6]=>[4,3,7,8,6,5,1,2]
[5,7,8,1,2,3,4,6]=>[6,5,4,7,8,3,1,2]
[1,5,7,2,8,3,4,6]=>[1,7,4,8,6,5,2,3]
[1,5,2,7,3,4,6,8]=>[1,3,6,5,7,2,4,8]
[5,1,2,8,3,4,6,7]=>[2,3,6,5,7,1,8,4]
[6,1,7,8,2,3,4,5]=>[2,7,6,5,8,4,3,1]
[6,7,1,8,2,3,4,5]=>[6,3,7,5,8,4,2,1]
[1,6,7,8,2,3,4,5]=>[1,7,6,5,8,4,3,2]
[1,6,7,2,3,4,5,8]=>[1,5,4,6,7,3,2,8]
[6,1,8,2,3,4,5,7]=>[2,5,4,6,7,8,1,3]
[6,1,2,3,4,5,8,7]=>[2,3,4,5,6,1,8,7]
[5,3,2,6,1,4,8,7]=>[6,3,2,5,4,1,8,7]
[7,3,2,5,4,8,1,6]=>[4,3,8,5,2,7,6,1]
[8,4,5,2,3,7,6,1]=>[6,5,4,3,8,7,2,1]
[7,4,5,2,3,8,1,6]=>[8,5,4,3,2,7,6,1]
[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]
[5,4,6,2,1,3,8,7]=>[4,6,5,3,2,1,8,7]
[3,6,1,5,4,2,8,7]=>[6,3,2,5,4,1,8,7]
[4,6,5,1,3,2,8,7]=>[5,4,6,3,2,1,8,7]
[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]
[7,5,4,3,2,8,1,6]=>[8,5,4,3,2,7,6,1]
[8,6,4,3,7,2,5,1]=>[8,5,4,7,6,3,2,1]
[7,6,4,3,8,2,1,5]=>[6,8,4,3,7,5,2,1]
[6,7,4,3,8,1,2,5]=>[8,7,4,3,6,5,2,1]
[5,7,4,3,1,8,2,6]=>[8,5,4,3,6,7,1,2]
[4,7,5,1,3,8,2,6]=>[5,4,8,3,6,7,1,2]
[3,7,1,5,4,8,2,6]=>[8,3,6,5,4,7,1,2]
[2,1,7,5,4,8,3,6]=>[2,1,8,5,4,7,6,3]
[3,8,1,5,4,7,6,2]=>[6,3,2,5,8,7,4,1]
[4,8,5,1,3,7,6,2]=>[5,4,6,8,2,7,3,1]
[5,8,4,3,1,7,6,2]=>[6,5,4,8,2,7,3,1]
[6,8,4,3,7,1,5,2]=>[5,8,6,7,4,3,2,1]
[7,8,4,3,6,5,1,2]=>[5,6,7,8,4,3,2,1]
[6,8,5,7,3,1,4,2]=>[6,7,5,8,4,3,2,1]
[5,8,6,7,1,3,4,2]=>[6,7,5,8,4,3,2,1]
[4,8,6,1,7,3,5,2]=>[7,4,8,5,6,2,3,1]
[3,8,1,6,7,4,5,2]=>[8,3,2,7,6,5,4,1]
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]
[2,1,7,6,8,4,3,5]=>[2,1,6,8,7,5,4,3]
[3,7,1,6,8,4,2,5]=>[6,3,4,8,7,5,1,2]
[4,7,6,1,8,3,2,5]=>[8,4,6,5,7,3,1,2]
[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]
[5,4,7,2,1,8,3,6]=>[4,8,5,6,2,7,1,3]
[6,4,7,2,8,1,3,5]=>[4,8,7,5,6,2,3,1]
[7,4,6,2,8,3,1,5]=>[6,8,4,5,7,2,3,1]
[8,4,6,2,7,3,5,1]=>[8,5,6,7,3,4,2,1]
[8,3,2,6,7,4,5,1]=>[4,3,8,7,6,5,2,1]
[7,3,2,6,8,4,1,5]=>[5,3,6,8,7,2,4,1]
[6,3,2,7,8,1,4,5]=>[8,3,2,7,6,5,4,1]
[5,3,2,7,1,8,4,6]=>[8,3,2,5,6,7,1,4]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]
[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]
[5,3,2,8,1,7,6,4]=>[8,3,2,5,4,7,6,1]
[6,3,2,8,7,1,5,4]=>[7,3,2,6,8,5,4,1]
[7,3,2,8,6,5,1,4]=>[5,3,8,7,6,2,4,1]
[8,4,7,2,6,5,3,1]=>[8,5,4,7,6,3,2,1]
[7,4,8,2,6,5,1,3]=>[7,5,6,8,4,3,2,1]
[6,4,8,2,7,1,5,3]=>[6,7,8,3,4,5,2,1]
[5,4,8,2,1,7,6,3]=>[4,8,5,3,2,7,6,1]
[4,5,8,1,2,7,6,3]=>[8,5,4,3,2,7,6,1]
[3,5,1,8,2,7,6,4]=>[8,3,4,5,1,7,6,2]
[2,1,5,8,3,7,6,4]=>[2,1,8,5,4,7,6,3]
[2,1,6,8,7,3,5,4]=>[2,1,7,6,8,5,4,3]
[3,6,1,8,7,2,5,4]=>[7,3,5,6,8,1,4,2]
[4,6,8,1,7,2,5,3]=>[7,6,4,5,8,2,3,1]
[5,6,8,7,1,2,4,3]=>[7,8,5,6,4,3,2,1]
[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]
[7,5,8,6,2,4,1,3]=>[5,7,8,6,4,3,2,1]
[8,5,7,6,2,4,3,1]=>[7,6,8,5,4,3,2,1]
[5,7,8,6,1,4,2,3]=>[6,7,5,8,4,3,2,1]
[4,7,8,1,6,5,2,3]=>[8,7,4,3,6,5,2,1]
[3,7,1,8,6,5,2,4]=>[8,3,4,7,6,5,1,2]
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]
[3,8,1,7,6,5,4,2]=>[8,3,2,7,6,5,4,1]
[4,8,7,1,6,5,3,2]=>[7,4,8,3,6,5,2,1]
[5,8,7,6,1,4,3,2]=>[6,5,8,7,4,3,2,1]
[6,8,7,5,4,1,3,2]=>[7,6,8,5,4,3,2,1]
[6,5,8,1,2,3,4,7]=>[5,6,4,7,8,2,1,3]
[7,5,8,1,2,3,4,6]=>[5,6,4,7,8,2,3,1]
[8,5,7,1,2,3,4,6]=>[5,4,6,7,8,2,3,1]
[3,2,7,8,1,4,5,6]=>[7,2,6,5,1,8,4,3]
[4,8,2,7,1,3,5,6]=>[5,6,7,3,8,1,4,2]
[5,8,3,7,1,2,4,6]=>[5,6,3,7,8,4,1,2]
[6,8,5,7,1,2,3,4]=>[5,6,8,7,4,3,2,1]
[7,8,2,4,1,3,5,6]=>[5,6,3,4,7,8,2,1]
[7,8,3,5,1,2,4,6]=>[5,6,7,3,4,8,2,1]
[5,3,2,6,1,4,7,8]=>[6,3,2,5,4,1,7,8]
[5,3,2,7,1,4,6,8]=>[6,3,2,5,7,1,4,8]
[5,3,2,8,1,4,6,7]=>[6,3,2,5,7,1,8,4]
[7,4,2,8,1,3,5,6]=>[6,3,7,5,2,8,4,1]
[7,4,3,8,1,2,5,6]=>[6,7,3,5,2,8,4,1]
[8,4,2,7,1,3,5,6]=>[6,3,5,7,2,8,4,1]
[5,6,2,4,8,1,3,7]=>[7,8,3,4,6,2,1,5]
[5,7,2,4,8,1,3,6]=>[7,8,3,4,6,5,1,2]
[4,7,3,6,8,1,2,5]=>[7,8,3,5,6,4,1,2]
[7,8,2,4,6,1,3,5]=>[7,8,6,3,4,5,2,1]
[4,3,2,6,8,1,5,7]=>[8,3,2,7,6,1,4,5]
[5,4,2,6,8,1,3,7]=>[8,3,4,7,6,2,1,5]
[6,5,2,4,8,1,3,7]=>[8,7,3,4,6,2,1,5]
[5,4,2,7,8,1,3,6]=>[8,3,5,7,6,2,1,4]
[8,7,2,4,6,1,3,5]=>[8,7,6,3,4,5,2,1]
[6,4,7,2,5,1,3,8]=>[6,5,7,4,3,2,1,8]
[6,4,8,2,5,1,3,7]=>[6,5,7,4,8,2,1,3]
[6,4,8,2,7,1,3,5]=>[6,8,7,5,4,2,3,1]
[7,5,8,2,4,1,3,6]=>[6,4,7,5,8,2,3,1]
[7,5,8,2,6,1,3,4]=>[6,8,7,4,5,3,2,1]
[5,4,3,2,8,1,6,7]=>[7,4,3,2,6,1,8,5]
[4,8,3,7,2,6,1,5]=>[8,7,5,6,4,3,1,2]
[6,5,3,8,2,7,1,4]=>[7,6,3,8,4,5,2,1]
[7,5,3,8,2,6,1,4]=>[7,6,3,8,5,4,2,1]
[8,5,4,7,2,6,1,3]=>[7,6,8,4,5,3,2,1]
[8,5,4,7,3,6,1,2]=>[7,5,8,4,6,3,2,1]
[6,5,4,3,2,8,1,7]=>[8,5,4,3,2,7,1,6]
[8,7,5,4,2,6,1,3]=>[8,5,6,7,4,3,2,1]
[8,7,6,5,2,4,1,3]=>[8,7,5,6,4,3,2,1]
[4,1,2,8,7,3,5,6]=>[2,3,8,6,7,1,5,4]
[3,1,7,2,6,4,8,5]=>[2,6,4,1,7,5,8,3]
[6,1,5,2,3,8,4,7]=>[2,4,5,8,3,7,1,6]
[5,1,4,2,7,3,8,6]=>[2,4,7,3,6,1,8,5]
[8,1,4,2,6,3,5,7]=>[2,4,7,6,3,5,8,1]
[7,1,4,2,6,3,8,5]=>[2,4,7,6,3,5,8,1]
[8,1,5,2,7,3,4,6]=>[2,4,7,6,8,3,5,1]
[7,1,5,2,6,3,8,4]=>[2,4,7,6,5,3,8,1]
[3,1,8,6,2,4,5,7]=>[2,7,5,6,1,4,8,3]
[7,1,8,6,2,3,4,5]=>[2,6,5,7,8,4,3,1]
[8,3,1,2,4,7,5,6]=>[3,4,2,5,7,8,6,1]
[5,4,1,2,8,3,6,7]=>[3,4,7,2,6,1,8,5]
[5,8,1,2,7,3,4,6]=>[4,3,6,8,7,5,1,2]
[8,3,1,5,2,7,4,6]=>[3,8,5,2,7,4,6,1]
[8,4,1,6,2,3,5,7]=>[3,6,5,7,2,4,8,1]
[7,4,1,8,2,3,5,6]=>[3,6,7,5,2,8,4,1]
[8,7,1,6,2,3,4,5]=>[3,5,6,7,8,4,2,1]
[8,3,1,5,6,2,4,7]=>[3,5,7,6,2,4,8,1]
[8,3,1,7,6,2,4,5]=>[3,8,6,7,2,5,4,1]
[6,3,8,1,2,7,4,5]=>[5,7,4,2,6,8,3,1]
[6,8,5,1,2,3,4,7]=>[5,4,6,7,3,8,1,2]
[8,5,4,1,2,7,3,6]=>[4,5,8,3,7,2,6,1]
[7,8,4,1,6,2,3,5]=>[7,4,6,8,3,5,2,1]
[8,3,4,1,6,7,2,5]=>[6,4,3,8,7,2,5,1]
[2,8,4,6,1,7,3,5]=>[7,8,5,6,1,3,4,2]
[7,3,6,5,1,2,8,4]=>[7,5,6,4,2,3,8,1]
[8,3,4,5,7,1,2,6]=>[4,8,7,6,3,2,5,1]
[3,5,2,6,1,4,8,7]=>[3,6,4,5,1,2,8,7]
[3,5,2,6,4,1,8,7]=>[5,4,2,6,3,1,8,7]
[3,5,2,7,4,8,1,6]=>[5,6,2,8,3,7,1,4]
[3,5,2,7,4,8,6,1]=>[7,4,2,6,3,8,5,1]
[4,5,7,2,3,8,6,1]=>[7,6,5,3,2,8,4,1]
[4,5,7,2,3,8,1,6]=>[4,8,5,6,2,7,1,3]
[4,5,6,2,3,1,8,7]=>[4,6,5,3,2,1,8,7]
[4,5,6,2,1,3,8,7]=>[6,4,5,3,2,1,8,7]
[3,5,1,6,4,2,8,7]=>[5,3,2,6,4,1,8,7]
[4,5,6,1,3,2,8,7]=>[5,6,4,3,2,1,8,7]
[4,5,6,3,1,2,8,7]=>[4,6,5,3,2,1,8,7]
[4,5,7,3,2,8,1,6]=>[4,5,8,6,2,7,1,3]
[4,5,7,3,2,8,6,1]=>[7,5,6,3,2,8,4,1]
[4,6,7,3,8,2,5,1]=>[6,5,8,4,7,2,3,1]
[4,6,7,3,8,2,1,5]=>[4,8,6,5,7,3,1,2]
[4,6,7,3,8,1,2,5]=>[4,8,7,5,6,3,1,2]
[4,5,7,3,1,8,2,6]=>[4,8,5,6,2,7,1,3]
[4,5,7,1,3,8,2,6]=>[5,8,4,6,2,7,1,3]
[3,5,1,7,4,8,2,6]=>[5,3,2,8,6,7,1,4]
[2,1,5,7,4,8,3,6]=>[2,1,5,8,6,7,3,4]
[2,1,5,7,4,8,6,3]=>[2,1,7,6,4,8,5,3]
[3,5,1,7,4,8,6,2]=>[7,3,2,6,4,8,5,1]
[4,5,7,1,3,8,6,2]=>[7,6,4,3,2,8,5,1]
[4,5,7,3,1,8,6,2]=>[7,6,5,3,2,8,4,1]
[4,6,7,3,8,1,5,2]=>[7,5,8,4,6,2,3,1]
[4,6,7,3,8,5,1,2]=>[5,8,6,3,7,4,2,1]
[4,6,7,3,8,5,2,1]=>[5,7,6,3,8,4,2,1]
[5,6,7,8,3,1,4,2]=>[5,8,7,6,4,3,2,1]
[5,6,7,8,1,3,4,2]=>[6,8,7,5,4,3,2,1]
[4,6,7,1,8,3,5,2]=>[6,8,4,5,7,2,3,1]
[3,6,1,7,8,4,5,2]=>[6,3,2,8,7,5,4,1]
[2,1,6,7,8,4,5,3]=>[2,1,6,8,7,5,4,3]
[2,1,6,7,8,4,3,5]=>[2,1,8,6,7,5,4,3]
[3,6,1,7,8,4,2,5]=>[8,3,4,6,7,5,1,2]
[4,6,7,1,8,3,2,5]=>[8,6,4,5,7,3,1,2]
[5,6,7,8,1,3,2,4]=>[8,6,7,5,4,3,2,1]
[4,5,7,2,1,8,3,6]=>[8,4,5,6,2,7,1,3]
[4,6,7,2,8,1,3,5]=>[8,4,7,5,6,3,1,2]
[4,6,7,2,8,3,1,5]=>[4,6,8,5,7,3,1,2]
[4,6,7,2,8,3,5,1]=>[6,8,5,4,7,2,3,1]
[3,6,2,7,8,4,5,1]=>[6,4,2,8,7,5,3,1]
[3,6,2,7,8,4,1,5]=>[8,5,4,6,7,3,1,2]
[3,6,2,7,8,1,4,5]=>[3,8,5,7,6,1,4,2]
[3,5,2,7,1,8,4,6]=>[3,8,6,5,1,7,2,4]
[3,4,2,1,7,8,5,6]=>[3,4,2,1,8,7,6,5]
[3,4,1,2,7,8,6,5]=>[4,3,2,1,7,8,6,5]
[3,5,2,7,1,8,6,4]=>[3,7,4,5,1,8,6,2]
[3,6,2,7,8,1,5,4]=>[3,7,5,8,6,1,4,2]
[3,6,2,7,8,5,1,4]=>[6,5,4,8,7,3,1,2]
[3,6,2,7,8,5,4,1]=>[6,4,2,7,8,5,3,1]
[4,6,7,2,8,5,3,1]=>[6,7,5,3,8,4,2,1]
[4,6,7,2,8,5,1,3]=>[4,8,6,3,7,5,2,1]
[4,6,7,2,8,1,5,3]=>[7,4,8,5,6,2,3,1]
[4,5,7,2,1,8,6,3]=>[7,4,5,3,2,8,6,1]
[4,5,7,1,2,8,6,3]=>[7,5,4,3,2,8,6,1]
[3,5,1,7,2,8,6,4]=>[7,3,4,5,1,8,6,2]
[2,1,5,7,3,8,6,4]=>[2,1,7,5,4,8,6,3]
[2,1,6,7,8,3,5,4]=>[2,1,7,8,6,5,4,3]
[3,6,1,7,8,2,5,4]=>[7,3,5,8,6,1,4,2]
[4,6,7,1,8,2,5,3]=>[7,8,4,5,6,2,3,1]
[5,6,7,8,1,2,4,3]=>[7,8,6,5,4,3,2,1]
[5,6,7,8,2,1,4,3]=>[7,8,5,6,4,3,2,1]
[5,6,7,8,2,4,1,3]=>[6,5,7,8,4,3,2,1]
[5,6,7,8,2,4,3,1]=>[5,7,8,6,4,3,2,1]
[5,6,7,8,1,4,2,3]=>[6,8,7,5,4,3,2,1]
[4,6,7,1,8,5,2,3]=>[6,8,4,3,7,5,2,1]
[3,6,1,7,8,5,2,4]=>[6,3,4,8,7,5,1,2]
[2,1,6,7,8,5,3,4]=>[2,1,6,8,7,5,4,3]
[3,6,1,7,8,5,4,2]=>[6,3,2,7,8,5,4,1]
[4,6,7,1,8,5,3,2]=>[6,7,4,3,8,5,2,1]
[5,6,7,8,1,4,3,2]=>[6,7,8,5,4,3,2,1]
[5,6,7,8,4,1,3,2]=>[5,7,8,6,4,3,2,1]
[6,5,8,7,3,4,1,2]=>[6,5,8,7,4,3,2,1]
[3,6,7,4,5,8,1,2]=>[3,8,6,5,4,7,2,1]
[2,6,7,4,5,1,8,3]=>[3,6,7,5,4,1,8,2]
[1,6,7,4,5,2,3,8]=>[1,6,7,5,4,3,2,8]
[1,5,4,7,6,2,3,8]=>[1,5,4,6,7,3,2,8]
[2,5,4,7,6,1,8,3]=>[3,5,4,6,7,1,8,2]
[3,5,4,7,6,8,1,2]=>[3,5,4,8,6,7,2,1]
[4,5,3,7,8,6,1,2]=>[4,5,3,8,7,6,2,1]
[5,4,3,8,7,6,1,2]=>[5,4,3,7,8,6,2,1]
[6,4,8,3,7,5,1,2]=>[7,4,6,5,8,3,2,1]
[6,3,8,4,5,7,1,2]=>[4,8,6,7,3,5,2,1]
[5,3,4,8,6,7,1,2]=>[4,5,3,8,7,6,2,1]
[4,3,5,6,8,7,1,2]=>[4,3,5,6,7,8,2,1]
[3,2,5,6,1,8,7,4]=>[4,2,6,5,1,8,7,3]
[4,2,5,6,8,1,7,3]=>[4,2,5,8,6,3,7,1]
[5,2,4,8,6,1,7,3]=>[4,8,2,6,7,3,5,1]
[6,2,8,4,5,1,7,3]=>[8,6,7,5,2,3,4,1]
[7,8,2,4,5,1,6,3]=>[7,5,6,3,8,4,2,1]
[7,8,1,4,5,2,3,6]=>[7,3,6,5,4,8,2,1]
[6,1,8,4,5,2,3,7]=>[2,6,7,5,4,8,1,3]
[5,1,4,8,6,2,3,7]=>[2,5,8,6,7,3,1,4]
[4,1,3,2,8,6,5,7]=>[2,4,3,1,7,6,8,5]
[5,1,3,8,2,6,4,7]=>[2,7,3,5,8,6,1,4]
[6,1,8,3,2,5,4,7]=>[2,4,5,7,6,8,1,3]
[7,8,1,3,2,5,4,6]=>[5,3,4,7,6,8,2,1]
[7,8,2,3,1,5,6,4]=>[5,4,3,7,8,6,2,1]
[6,2,8,3,1,5,7,4]=>[7,4,5,2,8,3,6,1]
[5,2,3,8,1,6,7,4]=>[3,7,2,5,4,8,6,1]
[6,3,8,2,1,7,5,4]=>[4,8,5,2,6,7,3,1]
[7,8,3,2,1,6,5,4]=>[4,5,3,8,7,6,2,1]
[7,8,4,2,6,1,5,3]=>[4,8,6,5,7,3,2,1]
[5,4,2,8,7,1,6,3]=>[7,3,4,6,8,2,5,1]
[4,5,2,7,8,1,6,3]=>[3,7,4,8,6,2,5,1]
[2,5,3,7,1,6,8,4]=>[4,7,3,5,1,6,8,2]
[1,5,3,7,2,6,4,8]=>[1,7,3,5,4,6,2,8]
[1,6,7,3,2,5,4,8]=>[1,4,5,7,6,3,2,8]
[2,6,7,3,1,5,8,4]=>[6,4,5,7,1,3,8,2]
[3,6,7,2,1,8,5,4]=>[7,4,5,6,1,8,3,2]
[7,8,5,6,2,1,4,3]=>[6,5,8,7,4,3,2,1]
[6,5,8,7,1,2,3,4]=>[7,8,5,6,4,3,2,1]
[5,4,1,8,7,2,3,6]=>[3,8,5,6,7,2,1,4]
[6,4,8,1,7,2,3,5]=>[6,8,4,5,7,2,3,1]
[7,8,3,1,2,6,4,5]=>[5,4,3,7,8,6,2,1]
[5,3,1,8,2,7,4,6]=>[3,7,2,5,6,8,1,4]
[4,3,1,2,8,7,5,6]=>[3,4,2,1,7,8,6,5]
[4,2,1,3,8,5,7,6]=>[3,2,4,1,6,8,7,5]
[5,2,1,8,3,4,7,6]=>[3,2,6,5,8,1,7,4]
[6,2,8,1,3,4,7,5]=>[5,2,4,6,8,3,7,1]
[7,8,2,1,3,4,6,5]=>[3,4,5,6,8,7,2,1]
[4,3,1,2,6,5,8,7]=>[3,4,2,1,6,5,8,7]
[5,3,1,6,2,4,8,7]=>[3,6,2,5,4,1,8,7]
[6,3,1,5,2,4,8,7]=>[3,6,5,2,4,1,8,7]
[7,3,1,5,2,8,4,6]=>[3,8,5,2,4,7,6,1]
[8,4,5,1,2,7,3,6]=>[5,4,8,3,7,2,6,1]
[7,4,5,1,2,8,3,6]=>[5,4,8,3,2,7,6,1]
[6,4,5,1,2,3,8,7]=>[5,4,6,3,2,1,8,7]
[5,4,6,1,2,3,8,7]=>[5,6,4,3,2,1,8,7]
[2,1,6,5,3,4,8,7]=>[2,1,5,6,4,3,8,7]
[3,6,1,5,2,4,8,7]=>[5,3,4,6,1,2,8,7]
[4,6,5,1,2,3,8,7]=>[6,4,5,3,2,1,8,7]
[5,6,4,1,2,3,8,7]=>[5,4,6,3,2,1,8,7]
[6,5,4,1,2,3,8,7]=>[4,5,6,3,2,1,8,7]
[7,5,4,1,2,8,3,6]=>[4,5,8,3,2,7,6,1]
[8,6,4,1,7,2,3,5]=>[4,7,8,6,3,5,2,1]
[7,6,4,1,8,2,3,5]=>[4,7,8,3,6,5,2,1]
[6,7,4,1,8,2,3,5]=>[7,4,8,3,6,5,2,1]
[5,7,4,1,2,8,3,6]=>[5,4,8,3,6,7,1,2]
[4,7,5,1,2,8,3,6]=>[8,4,5,3,6,7,1,2]
[3,7,1,5,2,8,4,6]=>[5,3,4,8,1,7,6,2]
[2,1,7,5,3,8,4,6]=>[2,1,5,8,4,7,6,3]
[2,1,8,5,3,7,4,6]=>[2,1,5,8,7,4,6,3]
[3,8,1,5,2,7,4,6]=>[5,3,7,8,1,4,6,2]
[4,8,5,1,2,7,3,6]=>[8,4,5,7,6,3,1,2]
[5,8,4,1,2,7,3,6]=>[5,4,8,7,6,3,1,2]
[6,8,4,1,7,2,3,5]=>[7,4,6,3,8,5,2,1]
[8,7,4,1,6,2,3,5]=>[4,7,6,8,3,5,2,1]
[5,8,6,7,1,2,3,4]=>[8,6,5,7,4,3,2,1]
[4,8,6,1,7,2,3,5]=>[6,4,7,5,8,3,1,2]
[3,8,1,6,7,2,4,5]=>[7,3,5,6,8,1,4,2]
[2,1,8,6,7,3,4,5]=>[2,1,7,6,8,5,4,3]
[2,1,7,6,8,3,4,5]=>[2,1,7,8,6,5,4,3]
[3,7,1,6,8,2,4,5]=>[7,3,5,8,6,1,4,2]
[4,7,6,1,8,2,3,5]=>[8,4,7,5,6,3,1,2]
[5,7,6,8,1,2,3,4]=>[8,6,7,5,4,3,2,1]
[5,4,7,1,2,8,3,6]=>[5,8,4,6,2,7,1,3]
[6,4,7,1,8,2,3,5]=>[7,8,4,5,6,2,3,1]
[7,4,6,1,8,2,3,5]=>[7,4,8,5,6,2,3,1]
[8,4,6,1,7,2,3,5]=>[7,4,8,6,5,2,3,1]
[8,3,1,6,7,2,4,5]=>[3,8,7,6,2,5,4,1]
[7,3,1,6,8,2,4,5]=>[3,8,7,2,6,5,4,1]
[6,3,1,7,8,2,4,5]=>[3,8,2,7,6,5,4,1]
[5,3,1,7,2,8,4,6]=>[3,8,2,5,6,7,1,4]
[4,3,1,2,7,8,5,6]=>[3,4,2,1,8,7,6,5]
[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,8,6,5]
[3,4,1,2,8,7,5,6]=>[4,3,2,1,7,8,6,5]
[6,3,1,8,7,2,4,5]=>[3,8,2,6,7,5,4,1]
[7,3,1,8,6,2,4,5]=>[3,8,7,6,2,5,4,1]
[8,4,7,1,6,2,3,5]=>[6,4,8,7,5,2,3,1]
[7,4,8,1,6,2,3,5]=>[6,8,4,7,5,2,3,1]
[5,4,8,1,2,7,3,6]=>[5,7,4,6,2,8,1,3]
[4,5,8,1,2,7,3,6]=>[7,5,4,6,2,8,1,3]
[3,5,1,8,2,7,4,6]=>[7,3,6,5,1,8,2,4]
[2,1,5,8,3,7,4,6]=>[2,1,7,5,6,8,3,4]
[2,1,6,8,7,3,4,5]=>[2,1,8,6,7,5,4,3]
[3,6,1,8,7,2,4,5]=>[8,3,5,6,7,1,4,2]
[4,6,8,1,7,2,3,5]=>[8,6,4,5,7,3,1,2]
[5,6,8,7,1,2,3,4]=>[8,7,5,6,4,3,2,1]
[7,5,8,6,1,2,3,4]=>[7,6,5,8,4,3,2,1]
[8,5,7,6,1,2,3,4]=>[7,5,6,8,4,3,2,1]
[5,7,8,6,1,2,3,4]=>[8,6,5,7,4,3,2,1]
[4,7,8,1,6,2,3,5]=>[7,6,4,5,8,3,1,2]
[3,7,1,8,6,2,4,5]=>[7,3,5,6,8,1,4,2]
[2,1,7,8,6,3,4,5]=>[2,1,7,6,8,5,4,3]
[2,1,8,7,6,3,4,5]=>[2,1,6,7,8,5,4,3]
[3,8,1,7,6,2,4,5]=>[6,3,5,7,8,1,4,2]
[4,8,7,1,6,2,3,5]=>[7,4,6,5,8,3,1,2]
[5,8,7,6,1,2,3,4]=>[8,5,6,7,4,3,2,1]
[6,8,7,5,1,2,3,4]=>[7,5,6,8,4,3,2,1]
[6,4,7,3,8,5,1,2]=>[8,4,6,5,7,3,2,1]
[6,4,7,3,5,8,1,2]=>[8,4,6,5,3,7,2,1]
[6,4,7,2,5,1,8,3]=>[6,5,7,4,3,2,8,1]
[5,4,2,7,6,1,3,8]=>[5,3,4,6,7,2,1,8]
[5,4,2,7,6,1,8,3]=>[5,3,4,6,7,2,8,1]
[5,4,3,7,6,8,1,2]=>[5,4,3,8,6,7,2,1]
[5,4,3,7,8,6,1,2]=>[5,4,3,8,7,6,2,1]
[6,4,8,3,5,7,1,2]=>[8,4,6,7,3,5,2,1]
[5,4,3,8,6,7,1,2]=>[5,4,3,8,7,6,2,1]
[5,4,3,6,8,7,1,2]=>[5,4,3,6,7,8,2,1]
[5,4,2,6,7,1,8,3]=>[5,3,4,7,6,2,8,1]
[5,4,2,6,7,1,3,8]=>[5,3,4,7,6,2,1,8]
[5,3,2,6,1,7,4,8]=>[6,3,2,5,4,7,1,8]
[5,3,2,6,1,7,8,4]=>[6,3,2,5,4,7,8,1]
[5,3,2,6,1,8,7,4]=>[6,3,2,5,4,8,7,1]
[5,4,2,6,8,1,7,3]=>[5,3,4,8,6,2,7,1]
[5,4,2,8,6,1,7,3]=>[8,3,4,6,7,2,5,1]
[6,4,8,2,5,1,7,3]=>[6,8,7,4,3,2,5,1]
[7,8,4,2,5,1,6,3]=>[4,7,6,5,8,3,2,1]
[7,8,4,2,5,1,3,6]=>[4,7,6,5,3,8,2,1]
[5,4,2,8,6,1,3,7]=>[5,3,8,6,7,2,1,4]
[5,3,2,6,1,8,4,7]=>[8,3,2,5,4,7,1,6]
[4,3,2,1,6,8,5,7]=>[4,3,2,1,8,7,5,6]
[4,3,2,1,8,6,5,7]=>[4,3,2,1,7,6,8,5]
[5,3,2,8,1,6,4,7]=>[7,3,2,5,8,6,1,4]
[6,3,8,2,1,5,4,7]=>[4,7,5,2,6,8,1,3]
[7,8,3,2,1,5,4,6]=>[4,5,3,7,6,8,2,1]
[7,8,3,2,1,5,6,4]=>[4,5,3,7,8,6,2,1]
[6,3,8,2,1,5,7,4]=>[4,7,5,2,8,3,6,1]
[5,3,2,8,1,6,7,4]=>[7,3,2,5,4,8,6,1]
[5,4,2,7,8,1,6,3]=>[7,3,4,8,6,2,5,1]
[5,3,2,7,1,8,6,4]=>[7,3,2,5,4,8,6,1]
[5,3,2,7,1,6,8,4]=>[7,3,2,5,4,6,8,1]
[5,3,2,7,1,6,4,8]=>[7,3,2,5,4,6,1,8]
[6,3,7,2,1,5,4,8]=>[4,7,5,2,6,3,1,8]
[6,3,7,2,1,5,8,4]=>[4,7,5,2,6,3,8,1]
[6,3,7,2,1,8,5,4]=>[4,7,5,2,6,8,3,1]
[6,4,7,2,8,1,5,3]=>[4,7,8,3,6,5,2,1]
[6,5,7,8,2,1,4,3]=>[8,7,5,6,4,3,2,1]
[6,5,8,7,2,1,3,4]=>[7,8,6,5,4,3,2,1]
[6,3,7,2,1,8,4,5]=>[4,8,5,2,6,7,3,1]
[6,3,7,2,1,4,8,5]=>[4,6,5,2,7,3,8,1]
[6,3,7,2,1,4,5,8]=>[4,6,5,2,7,3,1,8]
[5,3,2,7,1,4,8,6]=>[6,3,2,5,7,1,8,4]
[5,4,2,8,7,1,3,6]=>[8,3,5,6,7,2,1,4]
[7,8,4,2,6,1,3,5]=>[4,7,6,8,3,5,2,1]
[7,8,3,2,1,6,4,5]=>[4,5,3,7,8,6,2,1]
[6,3,8,2,1,7,4,5]=>[4,7,5,2,6,8,3,1]
[5,3,2,8,1,7,4,6]=>[7,3,2,5,6,8,1,4]
[4,3,2,1,8,7,5,6]=>[4,3,2,1,7,8,6,5]
[4,3,2,1,7,5,8,6]=>[4,3,2,1,6,7,8,5]
[4,3,2,1,7,5,6,8]=>[4,3,2,1,6,7,5,8]
[4,3,2,1,8,5,7,6]=>[4,3,2,1,6,8,7,5]
[5,3,2,8,1,4,7,6]=>[6,3,2,5,8,1,7,4]
[6,3,8,2,1,4,7,5]=>[4,6,5,2,8,3,7,1]
[7,8,3,2,1,4,6,5]=>[4,5,3,6,8,7,2,1]
[6,3,8,2,1,4,5,7]=>[4,6,5,2,7,8,1,3]
[4,3,2,1,8,5,6,7]=>[4,3,2,1,6,7,8,5]
[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,7,8,6]
[7,8,5,6,1,2,4,3]=>[5,6,8,7,4,3,2,1]
[7,8,4,1,6,2,5,3]=>[8,4,6,5,7,3,2,1]
[7,8,1,4,6,2,5,3]=>[8,3,6,5,7,4,2,1]
[6,1,8,4,7,2,5,3]=>[2,6,8,7,5,4,3,1]
[1,6,8,4,7,2,5,3]=>[1,6,8,7,5,4,3,2]
[1,6,8,3,2,7,5,4]=>[1,4,5,8,6,7,3,2]
[6,1,8,3,2,7,5,4]=>[2,4,5,8,6,7,3,1]
[7,8,1,3,2,6,5,4]=>[5,3,4,8,7,6,2,1]
[7,8,3,1,2,6,5,4]=>[5,4,3,8,7,6,2,1]
[7,8,3,4,6,5,1,2]=>[6,5,7,8,4,3,2,1]
[7,8,2,4,6,1,5,3]=>[8,5,6,3,7,4,2,1]
[7,8,2,3,1,6,5,4]=>[5,4,3,8,7,6,2,1]
[7,8,2,1,3,6,5,4]=>[3,4,5,8,7,6,2,1]
[7,8,1,2,3,6,5,4]=>[4,3,5,8,7,6,2,1]
[6,1,8,2,3,7,5,4]=>[2,5,4,8,6,7,3,1]
[1,6,8,2,3,7,5,4]=>[1,5,4,8,6,7,3,2]
[1,5,2,8,3,7,6,4]=>[1,3,8,5,4,7,6,2]
[5,1,2,8,3,7,6,4]=>[2,3,8,5,4,7,6,1]
[5,2,1,8,3,7,6,4]=>[3,2,8,5,4,7,6,1]
[6,2,8,1,3,7,5,4]=>[5,2,4,8,6,7,3,1]
[6,2,8,3,1,7,5,4]=>[8,4,5,2,6,7,3,1]
[6,2,8,4,7,1,5,3]=>[7,6,8,2,5,4,3,1]
[6,3,8,4,7,5,1,2]=>[4,7,6,5,8,3,2,1]
[3,6,8,4,7,5,1,2]=>[3,7,6,5,8,4,2,1]
[2,6,8,4,7,1,5,3]=>[4,6,8,7,5,1,3,2]
[2,6,8,3,1,7,5,4]=>[6,4,5,8,1,7,3,2]
[2,6,8,1,3,7,5,4]=>[8,5,4,1,6,7,3,2]
[2,5,1,8,3,7,6,4]=>[8,3,1,5,4,7,6,2]
[1,2,5,8,3,7,6,4]=>[1,2,8,5,4,7,6,3]
[2,4,1,3,8,7,6,5]=>[4,3,1,2,8,7,6,5]
[2,5,3,8,1,7,6,4]=>[4,8,3,5,1,7,6,2]
[2,5,4,8,7,1,6,3]=>[3,7,4,6,8,1,5,2]
[3,5,4,8,7,6,1,2]=>[3,5,4,7,8,6,2,1]
[5,3,4,8,7,6,1,2]=>[4,5,3,7,8,6,2,1]
[5,2,4,8,7,1,6,3]=>[4,7,2,6,8,3,5,1]
[5,2,3,8,1,7,6,4]=>[3,8,2,5,4,7,6,1]
[4,2,1,3,8,7,6,5]=>[3,2,4,1,8,7,6,5]
[4,1,2,3,8,7,6,5]=>[2,3,4,1,8,7,6,5]
[1,4,2,3,8,7,6,5]=>[1,3,4,2,8,7,6,5]
[4,1,3,2,8,7,6,5]=>[2,4,3,1,8,7,6,5]
[4,3,1,2,8,7,6,5]=>[3,4,2,1,8,7,6,5]
[6,3,8,1,2,7,5,4]=>[5,8,4,2,6,7,3,1]
[5,3,1,8,2,7,6,4]=>[3,8,2,5,4,7,6,1]
[5,1,3,8,2,7,6,4]=>[2,8,3,5,4,7,6,1]
[1,5,3,8,2,7,6,4]=>[1,8,3,5,4,7,6,2]
[1,5,4,8,7,2,6,3]=>[1,7,4,6,8,3,5,2]
[5,1,4,8,7,2,6,3]=>[2,7,4,6,8,3,5,1]
[5,4,1,8,7,2,6,3]=>[3,7,4,6,8,2,5,1]
[6,4,8,1,7,2,5,3]=>[6,7,4,3,8,5,2,1]
[6,5,8,7,1,2,4,3]=>[8,7,5,6,4,3,2,1]
[5,6,8,7,3,4,1,2]=>[5,6,8,7,4,3,2,1]
[5,6,8,7,2,1,4,3]=>[7,8,6,5,4,3,2,1]
[4,5,1,8,7,2,6,3]=>[7,3,4,6,8,2,5,1]
[4,1,5,8,7,2,6,3]=>[2,4,7,6,8,3,5,1]
[1,4,5,8,7,2,6,3]=>[1,4,7,6,8,3,5,2]
[1,3,5,8,2,7,6,4]=>[1,4,8,5,2,7,6,3]
[3,1,5,8,2,7,6,4]=>[2,4,8,5,1,7,6,3]
[3,6,8,1,2,7,5,4]=>[8,5,4,6,1,7,3,2]
[3,6,8,2,1,7,5,4]=>[8,4,5,6,1,7,3,2]
[4,6,8,2,7,1,5,3]=>[7,6,8,5,4,2,3,1]
[4,6,8,3,7,5,1,2]=>[5,7,6,3,8,4,2,1]
[4,5,3,8,7,6,1,2]=>[4,5,3,7,8,6,2,1]
[4,5,2,8,7,1,6,3]=>[3,7,4,6,8,2,5,1]
[3,5,2,8,1,7,6,4]=>[3,8,4,5,1,7,6,2]
[3,1,4,2,8,7,6,5]=>[2,3,4,1,8,7,6,5]
[3,1,2,4,8,7,6,5]=>[2,3,1,4,8,7,6,5]
[3,2,5,8,1,7,6,4]=>[4,2,8,5,1,7,6,3]
[4,2,5,8,7,1,6,3]=>[4,2,7,6,8,3,5,1]
[4,3,5,8,7,6,1,2]=>[4,3,5,7,8,6,2,1]
[3,4,5,8,7,6,1,2]=>[3,4,5,7,8,6,2,1]
[2,4,5,8,7,1,6,3]=>[3,4,7,6,8,1,5,2]
[2,3,5,8,1,7,6,4]=>[2,4,8,5,1,7,6,3]
[4,1,3,2,6,5,8,7]=>[2,4,3,1,6,5,8,7]
[5,1,3,2,6,4,8,7]=>[2,4,3,5,6,1,8,7]
[6,1,3,2,5,4,8,7]=>[2,4,3,6,5,1,8,7]
[7,1,3,2,5,4,8,6]=>[2,4,3,6,5,7,8,1]
[8,1,3,2,5,4,7,6]=>[2,4,3,6,5,8,7,1]
[8,1,4,2,5,3,7,6]=>[2,4,5,6,3,8,7,1]
[7,1,4,2,5,3,8,6]=>[2,4,5,6,3,7,8,1]
[6,1,4,2,5,3,8,7]=>[2,4,5,6,3,1,8,7]
[5,1,4,2,6,3,8,7]=>[2,4,5,3,6,1,8,7]
[2,1,6,3,5,4,8,7]=>[2,1,4,6,5,3,8,7]
[3,1,6,2,5,4,8,7]=>[2,6,4,1,5,3,8,7]
[4,1,6,2,5,3,8,7]=>[2,6,4,3,5,1,8,7]
[6,2,5,1,4,3,8,7]=>[6,4,2,5,3,1,8,7]
[5,2,6,1,4,3,8,7]=>[6,2,4,5,3,1,8,7]
[5,2,7,1,4,3,8,6]=>[6,2,4,5,7,1,8,3]
[5,2,8,1,4,3,7,6]=>[6,2,4,5,8,1,7,3]
[6,2,8,1,4,3,7,5]=>[6,2,4,5,8,3,7,1]
[6,2,7,1,4,3,8,5]=>[6,2,4,5,7,3,8,1]
[7,2,6,1,4,3,8,5]=>[6,4,2,5,7,3,8,1]
[7,2,5,1,4,3,8,6]=>[6,4,2,5,3,7,8,1]
[4,1,7,2,5,3,8,6]=>[2,6,4,7,5,1,8,3]
[3,1,7,2,5,4,8,6]=>[2,6,4,1,5,7,8,3]
[2,1,7,3,5,4,8,6]=>[2,1,4,6,5,7,8,3]
[2,1,8,3,5,4,7,6]=>[2,1,4,6,5,8,7,3]
[3,1,8,2,5,4,7,6]=>[2,6,4,1,5,8,7,3]
[4,1,8,2,5,3,7,6]=>[2,6,4,8,5,1,7,3]
[8,2,5,1,4,3,7,6]=>[6,4,2,5,3,8,7,1]
[8,2,6,1,4,3,7,5]=>[6,4,2,5,7,8,3,1]
[7,1,4,3,8,2,6,5]=>[2,8,4,3,6,7,5,1]
[8,1,4,3,7,2,6,5]=>[2,8,4,6,3,7,5,1]
[8,1,5,3,7,2,6,4]=>[2,8,4,6,5,7,3,1]
[7,1,5,3,8,2,6,4]=>[2,8,4,5,6,7,3,1]
[8,2,6,1,5,3,7,4]=>[6,4,2,7,5,8,3,1]
[5,1,8,2,6,3,7,4]=>[2,6,4,8,7,3,5,1]
[4,1,8,2,6,3,7,5]=>[2,6,4,8,7,1,5,3]
[3,1,8,2,6,4,7,5]=>[2,6,4,1,7,8,5,3]
[2,1,8,3,6,4,7,5]=>[2,1,4,6,7,8,5,3]
[2,1,7,3,6,4,8,5]=>[2,1,4,6,7,5,8,3]
[4,1,7,2,6,3,8,5]=>[2,6,4,5,7,1,8,3]
[5,1,7,2,6,3,8,4]=>[2,6,4,5,7,3,8,1]
[7,2,6,1,5,3,8,4]=>[6,4,2,7,5,3,8,1]
[6,2,7,1,5,3,8,4]=>[6,2,4,7,5,3,8,1]
[6,2,8,1,5,3,7,4]=>[6,2,4,7,8,3,5,1]
[8,1,5,2,6,3,7,4]=>[2,4,7,6,5,8,3,1]
[6,1,5,2,7,3,8,4]=>[2,4,7,5,6,3,8,1]
[6,1,4,2,7,3,8,5]=>[2,4,7,3,6,5,8,1]
[8,1,4,2,6,3,7,5]=>[2,4,7,6,3,8,5,1]
[8,1,3,2,6,4,7,5]=>[2,4,3,6,7,8,5,1]
[7,1,3,2,6,4,8,5]=>[2,4,3,6,7,5,8,1]
[6,1,3,2,7,4,8,5]=>[2,4,3,7,6,5,8,1]
[5,1,3,2,7,4,8,6]=>[2,4,3,7,6,1,8,5]
[4,1,3,2,7,5,8,6]=>[2,4,3,1,6,7,8,5]
[2,1,4,3,8,5,7,6]=>[2,1,4,3,6,8,7,5]
[3,1,4,2,8,5,7,6]=>[2,3,4,1,6,8,7,5]
[4,1,3,2,8,5,7,6]=>[2,4,3,1,6,8,7,5]
[5,1,3,2,8,4,7,6]=>[2,4,3,8,6,1,7,5]
[6,1,3,2,8,4,7,5]=>[2,4,3,8,6,5,7,1]
[8,4,7,1,3,2,6,5]=>[6,4,5,8,2,7,3,1]
[7,4,8,1,3,2,6,5]=>[6,5,4,8,2,7,3,1]
[7,3,8,1,4,2,6,5]=>[6,8,4,5,2,7,3,1]
[8,3,7,1,4,2,6,5]=>[6,4,8,5,2,7,3,1]
[6,1,4,2,8,3,7,5]=>[2,4,8,3,6,5,7,1]
[5,1,4,2,8,3,7,6]=>[2,4,8,3,6,1,7,5]
[4,1,5,2,8,3,7,6]=>[2,8,4,3,6,1,7,5]
[3,1,5,2,8,4,7,6]=>[2,8,4,1,6,3,7,5]
[2,1,5,3,8,4,7,6]=>[2,1,4,8,6,3,7,5]
[2,1,6,3,8,4,7,5]=>[2,1,4,8,6,5,7,3]
[3,1,6,2,8,4,7,5]=>[2,8,4,1,6,5,7,3]
[4,1,6,2,8,3,7,5]=>[2,8,4,5,6,1,7,3]
[5,1,6,2,8,3,7,4]=>[2,8,4,5,6,3,7,1]
[6,1,5,2,8,3,7,4]=>[2,4,8,5,6,3,7,1]
[8,3,7,1,5,2,6,4]=>[6,4,8,7,2,5,3,1]
[7,3,8,1,5,2,6,4]=>[6,8,4,7,2,5,3,1]
[6,2,7,3,8,1,5,4]=>[7,4,8,2,6,5,3,1]
[6,2,8,3,7,1,5,4]=>[7,6,8,2,4,5,3,1]
[8,3,7,2,6,1,5,4]=>[6,8,7,4,2,5,3,1]
[5,1,8,3,7,2,6,4]=>[2,6,8,7,4,3,5,1]
[4,1,8,3,7,2,6,5]=>[2,6,8,7,4,1,5,3]
[3,1,8,4,7,2,6,5]=>[2,7,8,6,4,1,5,3]
[2,1,8,4,7,3,6,5]=>[2,1,8,6,4,7,5,3]
[2,1,7,4,8,3,6,5]=>[2,1,8,4,6,7,5,3]
[3,1,7,4,8,2,6,5]=>[2,7,8,4,6,1,5,3]
[4,1,7,3,8,2,6,5]=>[2,4,8,7,6,1,5,3]
[5,1,7,3,8,2,6,4]=>[2,4,8,7,6,3,5,1]
[7,3,8,2,6,1,5,4]=>[6,7,8,4,2,5,3,1]
[8,2,6,3,7,1,5,4]=>[7,8,4,6,2,5,3,1]
[7,2,6,3,8,1,5,4]=>[7,8,4,2,6,5,3,1]
[3,4,2,6,8,1,5,7]=>[3,8,2,7,6,1,4,5]
[5,3,6,2,8,1,4,7]=>[4,8,7,2,6,3,1,5]
[5,3,6,2,4,8,1,7]=>[8,3,5,4,2,7,1,6]
[5,7,3,8,2,4,1,6]=>[8,7,5,6,3,4,1,2]
[5,7,3,8,2,4,6,1]=>[4,7,8,6,5,2,3,1]
[7,4,2,5,8,3,6,1]=>[4,5,8,3,7,6,2,1]
[7,4,2,5,8,3,1,6]=>[4,8,6,3,7,2,5,1]
[4,5,2,6,3,8,1,7]=>[5,4,3,8,2,7,1,6]
[4,5,2,1,6,8,3,7]=>[3,4,5,2,8,7,1,6]
[5,3,1,6,8,2,4,7]=>[3,8,2,7,6,4,1,5]
[5,6,2,8,1,3,4,7]=>[3,6,7,5,8,2,1,4]
[3,5,6,1,4,8,2,7]=>[5,8,4,2,3,7,1,6]
[4,1,5,6,3,8,2,7]=>[2,4,5,8,3,7,1,6]
[4,5,1,6,3,8,2,7]=>[5,3,4,8,2,7,1,6]
[4,5,6,3,2,8,1,7]=>[4,5,8,3,2,7,1,6]
[7,4,5,3,8,2,1,6]=>[8,6,4,3,7,2,5,1]
[7,4,5,3,8,2,6,1]=>[5,8,4,3,7,6,2,1]
[6,7,4,8,3,2,5,1]=>[8,6,4,7,5,3,2,1]
[6,7,4,8,3,2,1,5]=>[5,6,8,7,3,4,2,1]
[6,7,4,1,8,3,2,5]=>[6,4,8,3,7,5,2,1]
[7,4,5,3,1,8,2,6]=>[8,5,4,3,2,7,6,1]
[4,7,1,5,8,3,2,6]=>[6,3,4,8,7,5,1,2]
[5,3,7,8,1,4,2,6]=>[6,4,7,5,8,2,1,3]
[7,5,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]
[7,3,5,8,1,4,6,2]=>[8,7,3,5,4,6,2,1]
[4,5,1,7,8,3,6,2]=>[6,3,4,8,7,2,5,1]
[7,4,1,5,8,3,6,2]=>[3,5,8,4,7,6,2,1]
[6,7,4,3,8,1,5,2]=>[5,8,4,7,6,3,2,1]
[6,7,4,8,3,1,5,2]=>[8,7,4,6,5,3,2,1]
[6,7,4,8,3,5,2,1]=>[5,8,6,7,4,3,2,1]
[5,6,7,3,8,4,2,1]=>[5,7,6,4,8,3,2,1]
[5,6,7,3,1,8,4,2]=>[7,6,5,4,3,8,2,1]
[5,6,1,7,3,8,4,2]=>[7,3,5,6,4,8,2,1]
[5,1,6,7,3,8,4,2]=>[2,5,7,6,4,8,3,1]
[6,4,7,1,8,3,5,2]=>[8,6,4,3,7,5,2,1]
[6,7,8,3,1,4,5,2]=>[7,6,5,8,4,3,2,1]
[6,7,2,8,4,5,1,3]=>[7,5,6,8,3,4,2,1]
[6,7,2,8,4,1,3,5]=>[7,5,3,6,8,4,2,1]
[6,1,7,4,8,3,2,5]=>[2,8,6,4,7,5,3,1]
[5,1,6,7,3,2,8,4]=>[2,7,5,6,4,3,8,1]
[5,6,1,7,3,2,8,4]=>[5,3,7,6,4,2,8,1]
[5,6,7,3,2,1,8,4]=>[4,5,6,7,3,2,8,1]
[5,6,7,3,2,8,4,1]=>[7,5,6,4,3,8,2,1]
[5,6,2,7,3,8,4,1]=>[7,4,5,6,3,8,2,1]
[5,6,2,7,3,1,8,4]=>[5,7,3,6,4,2,8,1]
[5,6,2,1,7,3,8,4]=>[3,4,7,5,6,2,8,1]
[6,1,7,4,2,8,3,5]=>[2,8,5,4,6,7,3,1]
[6,7,2,1,8,3,4,5]=>[3,4,7,8,6,5,2,1]
[7,5,8,2,1,3,4,6]=>[4,6,5,7,8,2,3,1]
[5,7,3,1,8,2,4,6]=>[7,4,3,8,6,5,1,2]
[4,7,1,5,2,8,3,6]=>[5,3,4,8,6,7,1,2]
[7,4,2,5,1,8,3,6]=>[8,3,5,4,2,7,6,1]
[6,7,4,2,1,8,3,5]=>[4,5,8,3,6,7,2,1]
[6,7,4,2,8,3,1,5]=>[6,8,4,3,7,5,2,1]
[6,7,4,2,8,3,5,1]=>[8,5,4,6,7,3,2,1]
[3,6,7,2,8,4,5,1]=>[6,8,5,2,7,4,3,1]
[3,6,7,2,8,4,1,5]=>[4,6,8,3,7,5,1,2]
[3,6,7,2,1,8,4,5]=>[8,4,5,6,1,7,3,2]
[5,7,3,8,2,1,4,6]=>[7,5,3,6,8,4,1,2]
[3,4,7,8,2,1,5,6]=>[8,7,5,6,2,1,4,3]
[3,7,8,1,4,6,2,5]=>[7,8,4,3,5,6,1,2]
[3,4,7,8,2,6,1,5]=>[4,5,7,8,2,6,1,3]
[5,7,3,8,2,6,1,4]=>[6,7,5,8,4,3,2,1]
[3,6,7,2,8,5,1,4]=>[4,8,6,3,7,5,1,2]
[3,6,7,8,5,2,1,4]=>[4,8,6,7,5,3,1,2]
[3,6,7,8,5,2,4,1]=>[4,6,8,7,5,2,3,1]
[6,4,7,8,2,5,3,1]=>[7,4,8,6,5,3,2,1]
[6,4,7,8,2,1,5,3]=>[8,7,5,6,3,4,2,1]
[4,1,5,7,8,2,6,3]=>[2,4,7,8,6,3,5,1]
[5,3,7,8,1,6,2,4]=>[8,4,7,5,2,6,3,1]
[6,7,2,8,5,1,3,4]=>[7,8,3,6,5,4,2,1]
[6,4,1,7,8,2,5,3]=>[3,7,4,8,6,5,2,1]
[5,1,6,2,7,8,4,3]=>[2,6,4,5,7,8,3,1]
[5,6,2,1,7,8,4,3]=>[3,4,6,5,7,8,2,1]
[5,6,2,7,1,8,4,3]=>[3,7,6,5,4,8,2,1]
[5,6,2,7,8,4,3,1]=>[6,4,5,7,8,3,2,1]
[5,6,7,2,8,4,3,1]=>[6,7,5,4,8,3,2,1]
[5,6,7,2,1,8,4,3]=>[7,4,5,6,3,8,2,1]
[5,6,1,7,2,8,4,3]=>[7,3,6,5,4,8,2,1]
[5,1,6,7,2,8,4,3]=>[2,6,7,5,4,8,3,1]
[6,4,7,1,8,2,5,3]=>[8,7,4,3,6,5,2,1]
[3,6,7,1,8,5,2,4]=>[6,8,4,3,7,5,1,2]
[6,7,8,5,2,4,1,3]=>[5,7,8,6,4,3,2,1]
[6,7,8,3,5,1,4,2]=>[5,6,8,7,4,3,2,1]
[4,6,7,8,1,5,3,2]=>[6,7,8,5,3,4,2,1]
[5,1,6,7,8,4,3,2]=>[2,5,6,7,8,4,3,1]
[5,6,1,7,8,4,3,2]=>[6,3,5,7,8,4,2,1]
[5,6,7,1,8,4,3,2]=>[6,7,4,5,8,3,2,1]
[8,6,1,3,4,2,5,7]=>[3,5,6,4,7,2,8,1]
[8,3,2,5,1,6,4,7]=>[6,3,5,2,7,4,8,1]
[8,5,3,6,2,4,1,7]=>[7,4,6,5,3,2,8,1]
[5,3,2,7,4,1,8,6]=>[7,3,5,6,2,1,8,4]
[7,5,3,8,2,4,6,1]=>[7,4,8,6,3,5,2,1]
[7,2,4,5,8,3,6,1]=>[3,5,8,4,7,6,2,1]
[2,4,5,3,7,1,8,6]=>[2,4,7,3,6,1,8,5]
[8,2,4,5,6,3,1,7]=>[3,5,6,7,4,2,8,1]
[8,2,4,5,6,1,3,7]=>[4,5,7,6,2,3,8,1]
[8,1,2,4,5,6,3,7]=>[2,3,5,6,7,4,8,1]
[8,2,5,1,3,6,4,7]=>[5,4,2,6,7,3,8,1]
[8,5,6,2,1,4,3,7]=>[4,5,7,6,3,2,8,1]
[8,5,3,6,4,1,2,7]=>[5,7,6,4,3,2,8,1]
[8,4,1,5,6,3,2,7]=>[3,5,6,7,4,2,8,1]
[8,1,4,5,6,3,2,7]=>[2,5,6,7,4,3,8,1]
[4,5,3,7,2,1,8,6]=>[7,5,3,6,2,1,8,4]
[7,4,5,8,3,2,6,1]=>[8,6,4,7,3,5,2,1]
[4,3,6,7,2,8,5,1]=>[5,3,7,6,2,8,4,1]
[4,3,6,7,2,8,1,5]=>[6,4,5,8,2,7,1,3]
[1,4,3,6,7,2,8,5]=>[1,5,3,7,6,2,8,4]
[4,5,3,7,1,8,2,6]=>[6,8,3,5,2,7,1,4]
[4,1,5,3,7,2,8,6]=>[2,4,7,3,6,1,8,5]
[5,3,4,7,1,2,8,6]=>[7,6,3,5,2,1,8,4]
[7,5,8,2,1,4,6,3]=>[4,7,5,8,3,6,2,1]
[7,5,3,8,4,1,6,2]=>[8,7,4,6,3,5,2,1]
[7,4,5,8,3,6,1,2]=>[5,7,4,8,6,3,2,1]
[4,3,6,7,8,1,5,2]=>[5,3,7,8,6,2,4,1]
[1,6,4,7,8,3,5,2]=>[1,6,4,8,7,5,3,2]
[6,4,7,8,3,5,2,1]=>[6,4,8,7,5,3,2,1]
[3,5,6,7,8,4,1,2]=>[3,5,6,8,7,4,2,1]
[3,1,5,6,7,8,4,2]=>[2,3,5,6,7,8,4,1]
[4,6,1,7,8,3,5,2]=>[6,3,5,8,7,2,4,1]
[3,6,7,1,4,8,5,2]=>[7,6,4,2,5,8,3,1]
[6,2,4,1,7,8,5,3]=>[5,4,2,6,7,8,3,1]
[2,6,7,1,4,8,3,5]=>[5,8,4,1,6,7,3,2]
[4,3,6,7,8,1,2,5]=>[5,4,8,7,6,2,1,3]
[1,5,3,6,7,8,2,4]=>[1,5,3,6,8,7,4,2]
[3,5,6,7,8,2,1,4]=>[4,5,8,6,7,3,1,2]
[3,5,6,7,8,2,4,1]=>[4,5,6,8,7,2,3,1]
[5,2,7,1,3,8,4,6]=>[5,2,4,8,6,7,1,3]
[5,3,1,7,8,2,4,6]=>[3,8,2,7,6,5,1,4]
[4,5,2,7,8,1,3,6]=>[3,8,5,7,6,2,1,4]
[4,2,6,7,8,3,1,5]=>[4,5,8,6,7,2,1,3]
[4,2,6,7,8,3,5,1]=>[3,5,6,8,7,2,4,1]
[3,6,2,7,4,8,5,1]=>[7,4,2,6,5,8,3,1]
[3,6,2,7,4,8,1,5]=>[5,6,4,8,3,7,1,2]
[3,2,1,6,4,7,8,5]=>[3,2,1,5,6,7,8,4]
[3,7,4,2,1,5,8,6]=>[3,5,4,6,1,7,8,2]
[1,7,3,4,2,5,8,6]=>[1,4,5,3,6,7,8,2]
[4,7,2,1,3,5,8,6]=>[3,4,5,6,1,7,8,2]
[7,8,4,2,1,3,6,5]=>[4,5,6,3,8,7,2,1]
[7,8,1,3,4,2,6,5]=>[5,3,6,4,8,7,2,1]
[7,8,3,4,2,1,6,5]=>[6,5,4,3,8,7,2,1]
[6,3,2,7,1,8,5,4]=>[7,3,2,5,6,8,4,1]
[3,6,2,7,1,8,5,4]=>[3,7,6,5,1,8,4,2]
[6,7,3,8,2,5,4,1]=>[4,8,7,6,5,3,2,1]
[6,4,7,8,5,2,3,1]=>[5,6,8,7,4,3,2,1]
[2,6,4,7,8,1,5,3]=>[5,7,4,8,6,1,3,2]
[4,6,2,7,8,1,5,3]=>[3,7,5,8,6,2,4,1]
[7,4,5,8,6,2,1,3]=>[5,8,6,7,4,3,2,1]
[7,4,1,5,8,6,2,3]=>[3,5,6,8,7,4,2,1]
[7,5,3,8,6,1,2,4]=>[8,5,7,6,3,4,2,1]
[7,5,8,2,1,6,3,4]=>[4,7,5,6,8,3,2,1]
[6,2,7,1,3,8,5,4]=>[5,2,4,7,6,8,3,1]
[6,3,1,7,8,2,5,4]=>[3,7,2,8,6,5,4,1]
[4,6,1,7,8,5,2,3]=>[6,3,4,8,7,5,2,1]
[5,1,2,6,7,8,4,3]=>[2,3,5,6,7,8,4,1]
[5,2,6,7,8,4,1,3]=>[4,5,6,8,7,2,3,1]
[5,2,6,7,8,4,3,1]=>[3,5,6,7,8,4,2,1]
[2,5,6,7,8,4,1,3]=>[3,5,6,8,7,4,1,2]
[1,5,2,6,7,8,4,3]=>[1,3,5,6,7,8,4,2]
[1,6,4,7,8,5,2,3]=>[1,5,6,8,7,4,3,2]
[2,6,7,1,3,8,5,4]=>[7,5,4,1,6,8,3,2]
[6,7,8,2,1,5,4,3]=>[8,4,5,7,6,3,2,1]
[6,7,3,8,5,1,4,2]=>[8,7,4,6,5,3,2,1]
[6,4,7,8,5,3,1,2]=>[5,6,8,7,4,3,2,1]
[4,5,2,3,7,6,1,8]=>[5,4,3,2,7,6,1,8]
[6,4,3,7,2,5,1,8]=>[7,4,3,6,5,2,1,8]
[8,4,3,6,5,1,2,7]=>[5,4,6,7,3,2,8,1]
[1,5,6,3,4,8,7,2]=>[1,6,5,4,3,8,7,2]
[4,6,2,7,3,5,1,8]=>[7,4,5,6,2,3,1,8]
[3,2,6,7,4,5,1,8]=>[3,2,7,6,5,4,1,8]
[4,7,2,6,5,3,1,8]=>[7,4,3,6,5,2,1,8]
[5,7,6,2,4,3,1,8]=>[6,5,7,4,3,2,1,8]
[1,7,5,4,8,3,6,2]=>[1,8,5,4,7,6,3,2]
[8,7,5,4,1,3,2,6]=>[5,7,6,4,3,8,2,1]
[6,8,5,4,2,1,3,7]=>[5,6,7,4,3,8,1,2]
[5,8,6,2,4,1,3,7]=>[4,7,6,5,3,8,1,2]
[4,8,2,6,5,1,3,7]=>[6,5,4,7,3,8,1,2]
[3,2,8,6,5,1,4,7]=>[4,2,6,7,5,1,8,3]
[4,1,2,6,5,8,7,3]=>[2,3,4,6,5,8,7,1]
[5,1,6,2,4,8,7,3]=>[2,6,4,5,3,8,7,1]
[6,1,5,4,2,8,7,3]=>[2,5,6,4,3,8,7,1]
[7,1,5,4,8,2,6,3]=>[2,8,5,4,6,7,3,1]
[8,1,5,4,7,6,2,3]=>[2,6,5,7,8,4,3,1]
[1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]
[8,1,6,7,4,5,2,3]=>[2,7,8,6,5,4,3,1]
[7,1,6,8,4,2,5,3]=>[2,7,8,6,5,4,3,1]
[6,1,7,8,2,4,5,3]=>[2,8,7,5,6,4,3,1]
[5,1,7,2,8,4,6,3]=>[2,8,4,6,7,3,5,1]
[4,1,2,7,8,5,6,3]=>[2,3,4,8,7,6,5,1]
[3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]
[3,2,8,7,1,5,4,6]=>[6,2,5,7,1,8,4,3]
[4,8,2,7,1,5,3,6]=>[5,7,6,3,4,8,1,2]
[5,8,7,2,1,4,3,6]=>[7,5,4,6,8,3,1,2]
[6,8,7,1,2,4,3,5]=>[7,4,5,6,8,3,2,1]
[7,8,6,1,4,2,3,5]=>[6,4,7,5,8,3,2,1]
[8,7,6,1,4,3,2,5]=>[4,7,6,5,8,3,2,1]
[1,7,6,8,4,3,5,2]=>[1,6,8,7,5,4,3,2]
[1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]
[8,6,7,1,3,4,2,5]=>[6,4,7,5,8,3,2,1]
[7,6,8,1,3,2,4,5]=>[6,5,4,7,8,3,2,1]
[5,7,8,2,1,3,4,6]=>[6,4,5,7,8,3,1,2]
[4,7,2,8,1,3,5,6]=>[3,6,7,5,8,1,4,2]
[3,2,6,8,4,1,5,7]=>[8,2,5,6,7,1,3,4]
[4,6,2,8,3,1,5,7]=>[5,7,3,6,8,1,2,4]
[5,6,8,2,3,1,4,7]=>[4,6,5,7,8,2,1,3]
[6,5,8,3,2,1,4,7]=>[5,4,6,7,8,2,1,3]
[7,5,8,3,1,2,4,6]=>[6,4,5,7,8,2,3,1]
[8,5,7,3,1,4,2,6]=>[6,5,7,4,8,2,3,1]
[1,5,7,3,8,4,6,2]=>[1,8,5,6,7,3,4,2]
[1,4,3,7,8,5,6,2]=>[1,4,3,8,7,6,5,2]
[8,4,3,7,1,5,2,6]=>[7,8,5,3,6,2,4,1]
[6,4,3,8,2,1,5,7]=>[5,7,3,6,2,8,1,4]
[4,5,2,3,8,1,6,7]=>[7,4,3,2,6,1,8,5]
[3,2,5,4,8,1,6,7]=>[3,2,7,4,6,1,8,5]
[4,5,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]
[6,4,3,1,2,8,7,5]=>[4,5,3,2,6,8,7,1]
[7,4,3,1,8,2,6,5]=>[4,8,3,2,6,7,5,1]
[8,4,3,1,7,6,2,5]=>[4,6,3,7,8,2,5,1]
[1,5,8,3,7,6,4,2]=>[1,8,5,4,7,6,3,2]
[8,5,1,3,7,6,2,4]=>[3,6,4,7,8,5,2,1]
[7,5,1,3,8,2,6,4]=>[3,8,4,5,6,7,2,1]
[6,5,1,3,2,8,7,4]=>[3,5,4,6,2,8,7,1]
[5,6,1,2,3,8,7,4]=>[4,3,5,6,2,8,7,1]
[4,6,2,1,3,8,7,5]=>[3,4,5,6,1,8,7,2]
[3,2,6,1,4,8,7,5]=>[5,2,4,1,6,8,7,3]
[3,2,7,1,8,4,6,5]=>[8,2,4,1,6,7,5,3]
[4,7,2,1,8,3,6,5]=>[3,4,8,7,6,1,5,2]
[5,7,1,2,8,3,6,4]=>[4,3,8,7,6,2,5,1]
[6,7,1,8,2,3,5,4]=>[6,3,8,5,7,4,2,1]
[7,6,1,8,3,2,5,4]=>[3,5,8,6,7,4,2,1]
[8,6,1,7,3,5,2,4]=>[3,7,8,5,6,4,2,1]
[1,6,8,7,3,5,4,2]=>[1,7,6,8,5,4,3,2]
[1,7,8,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]
[8,7,1,6,5,3,2,4]=>[3,7,6,8,5,4,2,1]
[7,8,1,6,5,2,3,4]=>[6,3,7,8,5,4,2,1]
[6,8,1,7,2,5,3,4]=>[5,3,8,7,6,4,2,1]
[5,8,1,2,7,6,3,4]=>[4,3,7,5,8,6,2,1]
[4,8,2,1,7,6,3,5]=>[3,4,7,5,8,6,1,2]
[3,2,8,1,7,6,4,5]=>[7,2,4,1,8,6,5,3]
[4,1,2,8,7,6,5,3]=>[2,3,4,8,7,6,5,1]
[5,1,8,2,7,6,4,3]=>[2,8,4,5,7,6,3,1]
[6,1,8,7,2,5,4,3]=>[2,7,5,8,6,4,3,1]
[7,1,8,6,5,2,4,3]=>[2,8,6,7,5,4,3,1]
[8,1,7,6,5,4,2,3]=>[2,7,8,6,5,4,3,1]
[3,1,2,6,5,8,7,4]=>[2,3,1,6,5,8,7,4]
[3,1,6,2,4,8,7,5]=>[2,5,4,1,6,8,7,3]
[3,1,5,2,4,8,7,6]=>[2,5,4,1,3,8,7,6]
[4,5,1,2,3,8,7,6]=>[4,3,5,2,1,8,7,6]
[4,6,1,2,3,8,7,5]=>[4,3,5,6,1,8,7,2]
[1,6,5,3,4,8,7,2]=>[1,5,6,4,3,8,7,2]
[6,1,5,2,4,8,7,3]=>[2,4,6,5,3,8,7,1]
[6,5,1,2,3,8,7,4]=>[3,4,5,6,2,8,7,1]
[6,4,1,2,3,8,7,5]=>[3,4,5,2,6,8,7,1]
[5,4,1,2,3,8,7,6]=>[3,4,5,2,1,8,7,6]
[5,4,1,2,7,3,6,8]=>[3,4,7,2,6,1,5,8]
[6,4,1,7,2,3,5,8]=>[3,6,7,5,2,4,1,8]
[6,4,1,8,2,3,5,7]=>[3,6,7,5,2,8,1,4]
[7,4,1,2,8,3,6,5]=>[3,4,8,2,6,7,5,1]
[7,5,1,2,8,3,6,4]=>[3,4,8,5,6,7,2,1]
[7,1,5,2,8,4,6,3]=>[2,4,8,5,7,6,3,1]
[1,7,5,3,8,4,6,2]=>[1,5,8,4,7,6,3,2]
[1,8,5,3,7,4,6,2]=>[1,5,8,7,4,6,3,2]
[8,1,5,2,7,4,6,3]=>[2,4,8,7,5,6,3,1]
[8,5,1,2,7,3,6,4]=>[3,4,8,6,5,7,2,1]
[8,4,1,2,7,3,6,5]=>[3,4,8,6,2,7,5,1]
[8,4,1,7,2,3,5,6]=>[3,6,5,7,2,8,4,1]
[7,4,1,6,2,3,5,8]=>[3,6,5,7,2,4,1,8]
[8,6,1,7,2,3,5,4]=>[3,6,5,8,7,4,2,1]
[8,1,6,7,2,4,5,3]=>[2,7,5,8,6,4,3,1]
[1,8,6,7,3,4,5,2]=>[1,7,6,8,5,4,3,2]
[1,7,6,8,3,4,5,2]=>[1,7,8,6,5,4,3,2]
[7,1,6,8,2,4,5,3]=>[2,7,8,5,6,4,3,1]
[7,6,1,8,2,3,5,4]=>[3,6,8,5,7,4,2,1]
[4,7,1,2,8,3,6,5]=>[4,3,8,7,6,1,5,2]
[3,1,7,2,8,4,6,5]=>[2,8,4,1,6,7,5,3]
[3,1,2,7,8,5,6,4]=>[2,3,1,8,7,6,5,4]
[1,4,3,8,7,5,6,2]=>[1,4,3,7,8,6,5,2]
[4,1,2,8,7,5,6,3]=>[2,3,4,7,8,6,5,1]
[3,1,2,8,7,5,6,4]=>[2,3,1,7,8,6,5,4]
[3,1,8,2,7,4,6,5]=>[2,6,4,1,8,7,5,3]
[3,1,8,7,2,4,5,6]=>[2,7,5,6,1,8,4,3]
[3,1,7,6,2,4,5,8]=>[2,7,5,6,1,4,3,8]
[4,7,1,6,2,3,5,8]=>[5,3,7,6,4,1,2,8]
[4,8,1,6,2,3,5,7]=>[5,3,7,6,4,1,8,2]
[4,8,1,7,2,3,5,6]=>[5,3,7,6,8,1,4,2]
[4,8,1,2,7,3,6,5]=>[4,3,6,7,8,1,5,2]
[5,8,1,2,7,3,6,4]=>[4,3,6,7,8,2,5,1]
[5,1,8,2,7,4,6,3]=>[2,7,4,6,8,3,5,1]
[1,5,8,3,7,4,6,2]=>[1,7,5,6,8,3,4,2]
[1,6,8,7,3,4,5,2]=>[1,8,6,7,5,4,3,2]
[6,1,8,7,2,4,5,3]=>[2,8,5,7,6,4,3,1]
[6,8,1,7,2,3,5,4]=>[5,3,8,6,7,4,2,1]
[6,8,7,1,2,3,4,5]=>[6,4,5,7,8,3,2,1]
[5,8,7,1,2,3,4,6]=>[6,4,5,7,8,3,1,2]
[5,8,6,1,2,3,4,7]=>[6,4,5,7,3,8,1,2]
[5,7,6,1,2,3,4,8]=>[6,4,5,7,3,2,1,8]
[7,8,1,6,2,3,5,4]=>[5,3,6,8,7,4,2,1]
[7,1,8,6,2,4,5,3]=>[2,7,5,8,6,4,3,1]
[1,7,8,6,3,4,5,2]=>[1,7,6,8,5,4,3,2]
[1,8,7,6,3,4,5,2]=>[1,6,7,8,5,4,3,2]
[8,1,7,6,2,4,5,3]=>[2,5,7,8,6,4,3,1]
[8,7,1,6,2,3,5,4]=>[3,5,6,8,7,4,2,1]
[3,2,5,1,6,4,8,7]=>[5,2,4,1,6,3,8,7]
[3,2,5,4,7,1,8,6]=>[3,2,7,4,6,1,8,5]
[4,2,5,3,7,6,8,1]=>[3,4,5,2,7,6,8,1]
[4,2,5,3,7,1,8,6]=>[3,4,7,2,6,1,8,5]
[4,2,5,3,6,1,8,7]=>[3,4,5,2,6,1,8,7]
[4,2,5,1,6,3,8,7]=>[5,2,4,3,6,1,8,7]
[3,1,5,4,6,2,8,7]=>[2,3,5,4,6,1,8,7]
[4,1,5,3,6,2,8,7]=>[2,4,5,3,6,1,8,7]
[4,3,5,1,6,2,8,7]=>[5,3,4,2,6,1,8,7]
[4,3,5,2,7,1,8,6]=>[4,3,7,2,6,1,8,5]
[4,3,6,2,7,5,8,1]=>[6,3,5,2,7,4,8,1]
[4,3,6,2,7,1,8,5]=>[4,5,7,2,6,1,8,3]
[4,3,6,1,7,2,8,5]=>[7,5,4,2,6,1,8,3]
[4,3,5,1,7,2,8,6]=>[7,3,4,2,6,1,8,5]
[3,1,5,4,7,2,8,6]=>[2,3,7,4,6,1,8,5]
[2,1,5,4,7,3,8,6]=>[2,1,7,4,6,3,8,5]
[3,1,5,4,7,6,8,2]=>[2,3,5,4,7,6,8,1]
[4,1,5,3,7,6,8,2]=>[2,4,5,3,7,6,8,1]
[4,3,5,1,7,6,8,2]=>[5,3,4,2,7,6,8,1]
[4,3,6,1,7,5,8,2]=>[6,3,4,2,7,5,8,1]
[4,3,6,5,7,1,8,2]=>[4,3,7,5,6,2,8,1]
[5,3,6,4,7,2,8,1]=>[4,5,6,3,7,2,8,1]
[5,3,6,4,7,1,8,2]=>[4,5,7,3,6,2,8,1]
[5,3,6,1,7,4,8,2]=>[6,3,4,5,7,2,8,1]
[5,1,6,3,7,4,8,2]=>[2,6,5,4,7,3,8,1]
[4,1,6,3,7,5,8,2]=>[2,6,5,3,7,4,8,1]
[3,1,6,4,7,5,8,2]=>[2,3,5,6,7,4,8,1]
[2,1,6,4,7,5,8,3]=>[2,1,5,6,7,4,8,3]
[2,1,6,4,7,3,8,5]=>[2,1,7,4,6,5,8,3]
[3,1,6,4,7,2,8,5]=>[2,5,7,4,6,1,8,3]
[4,1,6,3,7,2,8,5]=>[2,4,7,5,6,1,8,3]
[5,1,6,3,7,2,8,4]=>[2,4,7,5,6,3,8,1]
[5,3,6,1,7,2,8,4]=>[7,5,4,2,6,3,8,1]
[5,3,6,2,7,1,8,4]=>[4,5,7,2,6,3,8,1]
[5,3,6,2,7,4,8,1]=>[6,3,5,4,7,2,8,1]
[5,2,6,3,7,4,8,1]=>[3,6,5,4,7,2,8,1]
[5,2,6,3,7,1,8,4]=>[5,4,7,2,6,3,8,1]
[5,2,6,1,7,3,8,4]=>[7,2,4,5,6,3,8,1]
[4,2,5,1,7,3,8,6]=>[7,2,4,3,6,1,8,5]
[4,2,6,1,7,3,8,5]=>[7,2,4,5,6,1,8,3]
[4,2,6,3,7,1,8,5]=>[5,4,7,2,6,1,8,3]
[4,2,6,3,7,5,8,1]=>[3,6,5,2,7,4,8,1]
[3,2,6,4,7,5,8,1]=>[3,2,5,6,7,4,8,1]
[3,2,6,4,7,1,8,5]=>[5,2,7,4,6,1,8,3]
[3,2,6,1,7,4,8,5]=>[7,2,4,1,6,5,8,3]
[3,2,5,1,7,4,8,6]=>[7,2,4,1,6,3,8,5]
[3,2,4,1,7,5,8,6]=>[3,2,4,1,6,7,8,5]
[3,1,4,2,7,6,8,5]=>[2,3,4,1,7,6,8,5]
[3,2,5,1,7,6,8,4]=>[5,2,4,1,7,6,8,3]
[3,2,6,1,7,5,8,4]=>[6,2,4,1,7,5,8,3]
[3,2,6,5,7,1,8,4]=>[4,2,7,5,6,1,8,3]
[4,2,6,5,7,3,8,1]=>[3,4,6,5,7,2,8,1]
[4,2,6,5,7,1,8,3]=>[4,2,7,5,6,3,8,1]
[4,2,6,1,7,5,8,3]=>[6,2,4,3,7,5,8,1]
[4,2,5,1,7,6,8,3]=>[5,2,4,3,7,6,8,1]
[4,1,5,2,7,6,8,3]=>[2,5,4,3,7,6,8,1]
[3,1,5,2,7,6,8,4]=>[2,5,4,1,7,6,8,3]
[2,1,5,3,7,6,8,4]=>[2,1,4,5,7,6,8,3]
[2,1,6,3,7,5,8,4]=>[2,1,4,6,7,5,8,3]
[3,1,6,2,7,5,8,4]=>[2,6,4,1,7,5,8,3]
[4,1,6,2,7,5,8,3]=>[2,6,4,3,7,5,8,1]
[5,1,6,2,7,4,8,3]=>[2,6,4,5,7,3,8,1]
[5,2,6,1,7,4,8,3]=>[6,2,4,5,7,3,8,1]
[5,2,6,4,7,1,8,3]=>[4,5,7,2,6,3,8,1]
[5,2,6,4,7,3,8,1]=>[3,5,6,4,7,2,8,1]
[5,4,6,2,7,3,8,1]=>[6,4,5,3,7,2,8,1]
[5,4,6,2,7,1,8,3]=>[4,5,7,3,6,2,8,1]
[5,4,6,1,7,2,8,3]=>[7,5,4,3,6,2,8,1]
[5,1,6,4,7,2,8,3]=>[2,5,7,4,6,3,8,1]
[4,1,6,5,7,2,8,3]=>[2,4,7,5,6,3,8,1]
[3,1,6,5,7,2,8,4]=>[2,4,7,5,6,1,8,3]
[2,1,6,5,7,3,8,4]=>[2,1,7,5,6,4,8,3]
[3,1,6,5,7,4,8,2]=>[2,3,6,5,7,4,8,1]
[4,1,6,5,7,3,8,2]=>[2,4,6,5,7,3,8,1]
[5,1,6,4,7,3,8,2]=>[2,5,6,4,7,3,8,1]
[5,4,6,1,7,3,8,2]=>[6,5,4,3,7,2,8,1]
[5,4,6,3,7,1,8,2]=>[5,4,7,3,6,2,8,1]
[8,3,5,2,1,6,4,7]=>[4,5,6,2,7,3,8,1]
[8,6,3,5,2,4,1,7]=>[7,6,4,5,3,2,8,1]
[3,7,5,2,4,1,8,6]=>[4,5,6,7,3,1,8,2]
[8,3,7,5,2,4,6,1]=>[5,6,7,3,8,4,2,1]
[8,2,4,5,7,3,6,1]=>[3,5,8,7,4,6,2,1]
[2,4,5,7,3,1,8,6]=>[2,7,5,6,3,1,8,4]
[8,2,4,6,5,3,1,7]=>[3,5,7,6,4,2,8,1]
[8,2,5,4,6,1,3,7]=>[4,7,5,6,2,3,8,1]
[8,6,3,5,1,4,2,7]=>[7,5,4,6,3,2,8,1]
[8,6,1,4,5,3,2,7]=>[3,6,7,5,4,2,8,1]
[8,1,5,6,4,3,2,7]=>[2,6,7,5,4,3,8,1]
[5,7,4,3,2,1,8,6]=>[5,6,4,3,7,1,8,2]
[8,5,7,4,3,2,6,1]=>[6,7,5,8,3,4,2,1]
[4,6,8,3,2,7,5,1]=>[8,5,6,4,2,7,3,1]
[4,7,6,3,2,8,1,5]=>[4,8,5,6,3,7,1,2]
[1,4,6,7,3,2,8,5]=>[1,7,5,6,4,2,8,3]
[5,4,7,3,1,8,2,6]=>[8,4,5,6,2,7,1,3]
[1,7,4,5,3,2,8,6]=>[1,5,6,4,3,7,8,2]
[3,7,5,1,4,2,8,6]=>[5,4,6,7,3,1,8,2]
[5,7,4,2,1,3,8,6]=>[4,5,6,3,7,1,8,2]
[8,5,7,4,2,1,6,3]=>[5,6,7,8,3,4,2,1]
[8,3,7,5,1,4,6,2]=>[6,5,7,3,8,4,2,1]
[8,4,1,7,5,3,6,2]=>[3,8,7,6,4,5,2,1]
[4,6,3,8,7,1,5,2]=>[4,7,5,6,8,2,3,1]
[1,7,4,8,6,3,5,2]=>[1,6,8,7,4,5,3,2]
[8,4,7,6,3,5,2,1]=>[6,7,8,4,5,3,2,1]
[3,6,5,8,7,4,1,2]=>[3,6,5,7,8,4,2,1]
[3,1,5,8,6,7,4,2]=>[2,3,5,7,8,6,4,1]
[4,8,1,6,7,3,5,2]=>[8,3,5,7,6,2,4,1]
[3,6,4,1,8,7,5,2]=>[6,4,5,2,8,7,3,1]
[8,2,6,1,4,7,5,3]=>[6,4,2,7,8,5,3,1]
[2,7,6,8,1,4,3,5]=>[8,7,6,5,1,4,3,2]
[3,7,1,6,4,8,2,5]=>[8,3,4,5,6,7,1,2]
[1,7,3,5,6,8,2,4]=>[1,5,6,8,3,7,4,2]
[1,3,6,7,5,8,2,4]=>[1,4,6,8,5,7,2,3]
[3,7,6,5,8,2,1,4]=>[4,6,8,5,7,3,1,2]
[3,6,8,5,7,2,4,1]=>[4,7,8,5,6,2,3,1]
[2,3,5,7,6,8,1,4]=>[2,4,5,8,6,7,1,3]
[2,1,6,5,7,8,3,4]=>[2,1,6,5,8,7,4,3]
[4,2,7,6,8,3,1,5]=>[4,5,6,8,7,2,1,3]
[4,2,6,8,7,3,5,1]=>[3,5,6,7,8,2,4,1]
[3,8,2,4,6,7,5,1]=>[5,4,2,7,8,6,3,1]
[3,7,2,6,4,8,1,5]=>[8,6,4,5,3,7,1,2]
[3,2,6,1,4,7,8,5]=>[5,2,4,1,6,7,8,3]
[5,3,7,2,1,8,4,6]=>[4,8,5,2,6,7,1,3]
[4,7,3,2,1,5,8,6]=>[4,5,3,6,1,7,8,2]
[8,7,6,1,3,4,2,5]=>[4,6,7,5,8,3,2,1]
[8,5,7,3,2,1,6,4]=>[5,6,4,8,3,7,2,1]
[8,3,6,7,2,1,5,4]=>[8,5,6,7,2,4,3,1]
[3,7,8,6,2,1,5,4]=>[7,5,6,8,4,1,3,2]
[8,7,6,3,5,2,4,1]=>[8,7,5,6,4,3,2,1]
[2,7,4,8,1,6,5,3]=>[7,8,4,5,1,6,3,2]
[4,6,8,2,1,7,5,3]=>[8,4,5,6,2,7,3,1]
[8,4,1,5,7,2,6,3]=>[3,5,8,6,4,7,2,1]
[8,5,3,7,1,6,2,4]=>[7,6,5,3,8,4,2,1]
[8,5,7,2,1,3,6,4]=>[4,5,6,8,3,7,2,1]
[8,2,6,7,1,3,5,4]=>[8,6,5,2,7,4,3,1]
[8,3,6,1,7,5,2,4]=>[8,4,5,7,6,2,3,1]
[4,6,1,8,7,2,5,3]=>[7,3,5,6,8,2,4,1]
[8,1,2,5,6,7,4,3]=>[2,3,6,7,8,5,4,1]
[8,2,6,5,7,4,1,3]=>[4,8,6,7,5,2,3,1]
[2,1,7,8,5,6,4,3]=>[2,1,8,7,6,5,4,3]
[8,2,5,7,6,4,3,1]=>[3,6,8,7,5,4,2,1]
[2,7,6,8,5,4,1,3]=>[3,8,6,7,5,4,1,2]
[1,7,2,5,8,6,4,3]=>[1,3,6,7,8,5,4,2]
[1,7,4,8,2,6,5,3]=>[1,8,4,5,7,6,3,2]
[3,7,8,1,6,5,2,4]=>[8,7,4,3,6,5,1,2]
[2,7,8,6,1,3,5,4]=>[7,6,5,8,1,4,3,2]
[8,7,6,3,5,1,4,2]=>[8,6,5,7,4,3,2,1]
[8,4,7,6,5,1,3,2]=>[5,6,8,7,4,3,2,1]
[8,7,1,5,6,4,3,2]=>[3,7,8,6,5,4,2,1]
[8,1,6,7,5,4,3,2]=>[2,7,8,6,5,4,3,1]
[6,5,3,1,2,4,8,7]=>[4,5,3,6,2,1,8,7]
[4,6,3,5,1,2,8,7]=>[5,6,3,4,2,1,8,7]
[8,5,3,7,2,1,4,6]=>[5,7,6,3,8,2,4,1]
[6,8,1,4,5,7,3,2]=>[6,3,7,8,4,5,2,1]
[8,7,2,4,5,1,3,6]=>[5,7,6,3,4,8,2,1]
[3,6,2,4,5,1,8,7]=>[5,4,2,6,3,1,8,7]
[2,6,1,4,5,3,8,7]=>[5,3,1,6,4,2,8,7]
[6,1,2,4,5,3,8,7]=>[2,3,5,6,4,1,8,7]
[5,6,3,2,1,4,8,7]=>[4,5,3,6,2,1,8,7]
[5,4,3,6,1,2,8,7]=>[6,4,3,5,2,1,8,7]
[6,3,1,4,5,2,8,7]=>[3,4,5,6,2,1,8,7]
[3,1,6,4,5,2,8,7]=>[2,3,5,6,4,1,8,7]
[8,3,7,4,5,1,2,6]=>[4,7,6,5,8,2,3,1]
[5,8,7,4,2,6,3,1]=>[8,6,7,5,3,4,2,1]
[2,8,7,4,1,6,3,5]=>[4,5,8,7,1,6,3,2]
[8,1,7,4,2,6,3,5]=>[2,5,8,7,4,6,3,1]
[3,7,8,4,5,1,2,6]=>[8,6,7,5,4,3,1,2]
[2,1,8,7,5,3,4,6]=>[2,1,6,7,5,8,4,3]
[2,1,6,8,5,7,3,4]=>[2,1,7,8,5,6,4,3]
[5,6,3,8,1,7,2,4]=>[6,7,3,5,4,8,2,1]
[7,6,1,4,5,8,3,2]=>[3,6,7,5,4,8,2,1]
[3,7,6,4,5,8,2,1]=>[3,6,7,5,4,8,2,1]
[8,5,7,4,1,6,3,2]=>[7,5,8,4,6,3,2,1]
[5,1,8,4,7,6,2,3]=>[2,7,6,4,8,5,3,1]
[2,5,8,4,7,6,1,3]=>[3,7,6,4,8,5,1,2]
[2,4,8,3,5,6,7,1]=>[2,6,5,3,7,8,4,1]
[4,1,8,3,5,6,7,2]=>[2,6,5,3,7,8,4,1]
[3,8,4,2,5,6,7,1]=>[6,5,4,2,7,8,3,1]
[8,4,1,3,5,6,7,2]=>[3,5,4,6,7,8,2,1]
[7,5,8,4,3,6,1,2]=>[6,7,8,4,5,3,2,1]
[6,5,3,8,4,1,7,2]=>[8,7,4,6,3,2,5,1]
[2,1,5,8,4,6,7,3]=>[2,1,7,6,4,8,5,3]
[2,1,4,8,3,6,7,5]=>[2,1,7,5,3,8,6,4]
[6,4,3,8,2,1,7,5]=>[5,8,3,6,2,4,7,1]
[7,3,8,4,2,6,1,5]=>[7,5,8,6,4,2,3,1]
[8,3,1,2,5,6,7,4]=>[3,4,2,6,7,8,5,1]
[3,1,8,2,5,6,7,4]=>[2,6,4,1,7,8,5,3]
[2,3,8,1,5,6,7,4]=>[2,6,4,1,7,8,5,3]
[4,3,8,2,5,6,7,1]=>[6,3,5,2,7,8,4,1]
[4,8,2,3,5,6,7,1]=>[5,4,6,2,7,8,3,1]
[3,8,2,1,5,6,7,4]=>[3,4,6,1,7,8,5,2]
[2,8,1,3,5,6,7,4]=>[4,3,1,6,7,8,5,2]
[8,1,2,3,5,6,7,4]=>[2,3,4,6,7,8,5,1]
[7,8,2,4,3,6,1,5]=>[8,4,5,7,3,6,2,1]
[6,8,3,2,4,1,7,5]=>[4,5,6,3,8,2,7,1]
[2,1,8,3,4,6,7,5]=>[2,1,4,5,7,8,6,3]
[2,1,7,8,5,4,3,6]=>[2,1,6,7,5,8,4,3]
[5,7,3,8,1,4,2,6]=>[8,7,6,5,3,4,1,2]
[7,1,8,4,5,3,2,6]=>[2,7,6,5,4,8,3,1]
[2,7,8,4,5,3,1,6]=>[3,7,6,5,4,8,1,2]
[8,7,1,4,3,6,2,5]=>[3,8,5,7,4,6,2,1]
[3,8,7,4,2,6,1,5]=>[4,8,5,7,3,6,1,2]
[5,7,8,4,3,6,2,1]=>[8,6,7,5,3,4,2,1]
[5,6,3,8,4,2,7,1]=>[6,8,4,7,3,2,5,1]
[4,8,3,6,2,1,7,5]=>[6,5,3,7,8,1,4,2]
[8,6,3,1,4,2,7,5]=>[4,5,6,3,7,8,2,1]
[7,5,3,8,2,4,1,6]=>[7,8,5,6,3,2,4,1]
[2,4,3,1,8,5,7,6]=>[2,4,3,1,6,8,7,5]
[4,1,3,2,6,8,7,5]=>[2,4,3,1,6,8,7,5]
[7,5,3,6,2,8,1,4]=>[5,6,8,3,4,7,2,1]
[8,6,3,5,1,2,7,4]=>[6,5,7,3,4,8,2,1]
[5,8,3,2,6,1,7,4]=>[4,7,6,8,3,2,5,1]
[4,5,3,8,6,2,7,1]=>[4,8,3,7,6,2,5,1]
[3,5,8,4,7,6,2,1]=>[3,8,6,4,7,5,2,1]
[5,8,2,4,7,6,1,3]=>[6,5,7,4,8,3,2,1]
[8,7,5,4,1,6,2,3]=>[5,8,6,7,4,3,2,1]
[2,7,6,4,5,8,1,3]=>[3,6,8,5,4,7,1,2]
[7,1,6,4,5,8,2,3]=>[2,6,8,5,4,7,3,1]
[5,7,3,6,1,8,2,4]=>[5,8,3,6,4,7,2,1]
[2,1,7,6,5,8,3,4]=>[2,1,8,6,5,7,4,3]
[2,1,8,5,3,6,7,4]=>[2,1,5,6,7,8,4,3]
[6,8,3,5,2,1,7,4]=>[6,5,7,3,8,2,4,1]
[7,8,5,4,2,6,1,3]=>[5,8,6,7,4,3,2,1]
[8,1,4,2,5,6,7,3]=>[2,4,5,6,7,8,3,1]
[2,8,4,1,5,6,7,3]=>[6,4,5,1,7,8,3,2]
[4,8,1,2,5,6,7,3]=>[4,3,6,2,7,8,5,1]
[3,4,8,1,5,6,7,2]=>[3,6,4,2,7,8,5,1]
[3,4,2,8,5,6,7,1]=>[3,4,2,6,7,8,5,1]
[2,4,1,8,5,6,7,3]=>[4,3,1,6,7,8,5,2]
[4,1,2,8,5,6,7,3]=>[2,3,4,6,7,8,5,1]
[8,4,2,1,5,6,7,3]=>[4,3,5,6,7,8,2,1]
[7,5,2,4,8,6,1,3]=>[5,6,3,8,7,4,2,1]
[6,5,3,2,8,1,7,4]=>[8,4,3,5,6,2,7,1]
[2,1,5,3,8,6,7,4]=>[2,1,4,5,7,8,6,3]
[6,4,3,5,8,1,7,2]=>[5,4,8,3,6,2,7,1]
[7,3,5,4,8,6,1,2]=>[4,6,5,8,7,3,2,1]
[8,3,4,1,5,6,7,2]=>[5,4,3,6,7,8,2,1]
[4,3,1,8,5,6,7,2]=>[3,4,2,6,7,8,5,1]
[3,1,4,8,5,6,7,2]=>[2,3,4,6,7,8,5,1]
[6,5,3,7,2,8,4,1]=>[7,4,5,6,3,8,2,1]
[6,3,7,4,5,8,2,1]=>[4,7,6,5,3,8,2,1]
[6,7,2,4,5,8,3,1]=>[6,4,7,5,3,8,2,1]
[5,1,7,4,8,6,3,2]=>[2,7,6,4,8,5,3,1]
[2,5,7,4,8,6,3,1]=>[2,7,6,4,8,5,3,1]
[5,6,3,7,1,8,4,2]=>[4,7,6,5,3,8,2,1]
[3,8,7,4,5,2,1,6]=>[8,6,7,5,4,3,1,2]
[3,7,5,4,8,6,2,1]=>[3,6,5,7,8,4,2,1]
[5,7,1,4,8,6,2,3]=>[6,3,8,4,7,5,2,1]
[5,6,3,1,8,2,7,4]=>[8,4,3,5,6,2,7,1]
[4,6,3,5,8,2,7,1]=>[8,5,3,4,7,2,6,1]
[4,6,3,8,1,2,7,5]=>[8,6,3,5,4,1,7,2]
[3,7,8,4,1,6,2,5]=>[4,8,5,7,3,6,1,2]
[3,2,5,1,6,8,4,7]=>[5,2,4,1,8,7,3,6]
[3,6,2,5,4,8,1,7]=>[8,4,2,5,3,7,1,6]
[3,5,2,4,7,1,8,6]=>[7,4,2,3,6,1,8,5]
[3,5,8,2,4,7,6,1]=>[8,6,5,2,3,7,4,1]
[4,2,5,8,3,7,6,1]=>[3,4,8,6,2,7,5,1]
[4,2,6,5,3,8,1,7]=>[3,4,8,5,2,7,1,6]
[5,4,2,1,6,8,3,7]=>[4,3,5,2,8,7,1,6]
[6,3,5,1,4,8,2,7]=>[8,4,3,5,2,7,1,6]
[4,6,1,5,3,8,2,7]=>[8,3,4,5,2,7,1,6]
[5,1,6,4,3,8,2,7]=>[2,5,8,4,3,7,1,6]
[5,4,3,2,7,1,8,6]=>[7,4,3,2,6,1,8,5]
[5,4,3,8,2,7,6,1]=>[8,4,3,6,2,7,5,1]
[4,3,6,2,8,7,5,1]=>[6,3,5,2,8,7,4,1]
[4,3,7,6,2,1,8,5]=>[7,4,6,5,2,1,8,3]
[6,4,3,1,7,2,8,5]=>[4,7,3,2,6,5,8,1]
[7,5,4,3,1,8,2,6]=>[5,8,4,3,2,7,6,1]
[1,4,7,5,8,3,2,6]=>[1,4,6,8,7,5,2,3]
[7,1,3,5,8,4,2,6]=>[2,4,6,8,7,3,5,1]
[7,2,5,8,4,1,3,6]=>[8,7,5,6,2,3,4,1]
[2,8,5,7,4,6,1,3]=>[3,7,8,5,6,4,1,2]
[3,5,8,7,1,4,6,2]=>[6,8,5,7,2,3,4,1]
[1,4,5,8,7,3,6,2]=>[1,4,6,7,8,3,5,2]
[1,5,4,8,7,3,6,2]=>[1,6,4,7,8,3,5,2]
[6,4,3,8,1,7,5,2]=>[8,4,3,5,6,7,2,1]
[4,3,7,1,8,6,5,2]=>[7,3,4,2,8,6,5,1]
[4,8,3,7,6,5,2,1]=>[8,5,3,7,6,4,2,1]
[5,3,8,7,6,4,2,1]=>[4,5,8,7,6,3,2,1]
[7,5,3,1,8,6,4,2]=>[4,5,6,7,8,3,2,1]
[1,8,6,5,3,7,4,2]=>[1,6,7,5,8,4,3,2]
[1,5,8,6,3,7,4,2]=>[1,8,6,7,4,5,3,2]
[4,6,1,8,7,3,5,2]=>[6,3,5,7,8,2,4,1]
[6,8,7,3,1,4,5,2]=>[7,5,6,8,4,3,2,1]
[6,2,8,7,4,5,1,3]=>[4,6,8,7,5,2,3,1]
[7,6,2,8,4,1,3,5]=>[5,7,3,6,8,4,2,1]
[7,3,1,6,8,4,2,5]=>[3,5,6,8,7,2,4,1]
[1,7,6,4,8,3,2,5]=>[1,6,8,4,7,5,3,2]
[5,7,1,6,3,2,8,4]=>[6,3,7,5,4,2,8,1]
[6,1,7,5,3,2,8,4]=>[2,5,6,7,4,3,8,1]
[7,6,5,3,2,1,8,4]=>[6,5,4,7,3,2,8,1]
[6,5,3,2,8,7,4,1]=>[5,4,6,3,8,7,2,1]
[5,2,6,3,8,7,4,1]=>[3,6,5,4,8,7,2,1]
[5,2,7,6,3,1,8,4]=>[4,7,6,5,2,3,8,1]
[6,5,2,1,7,3,8,4]=>[4,3,7,5,6,2,8,1]
[5,2,7,4,1,8,3,6]=>[4,8,5,2,6,7,1,3]
[4,7,2,6,3,1,8,5]=>[6,7,3,5,4,1,8,2]
[2,4,8,6,3,7,5,1]=>[2,8,6,7,3,5,4,1]
[3,8,6,2,4,7,5,1]=>[7,5,6,2,8,4,3,1]
[7,3,6,2,4,1,8,5]=>[6,5,7,4,2,3,8,1]
[3,6,7,2,1,4,8,5]=>[6,4,5,7,1,3,8,2]
[4,3,7,8,2,1,5,6]=>[7,8,5,6,2,1,4,3]
[8,3,7,1,4,6,2,5]=>[8,4,6,7,5,2,3,1]
[3,8,2,5,7,1,6,4]=>[8,5,7,6,3,1,4,2]
[8,3,6,2,7,1,5,4]=>[4,8,7,6,2,5,3,1]
[7,8,3,6,2,1,5,4]=>[6,5,8,3,7,4,2,1]
[8,7,3,6,2,5,4,1]=>[8,6,4,7,5,3,2,1]
[4,7,8,2,1,6,5,3]=>[8,4,5,7,2,6,3,1]
[4,2,6,8,1,7,5,3]=>[6,2,8,5,3,7,4,1]
[5,4,8,2,7,1,6,3]=>[6,7,8,3,4,2,5,1]
[4,8,1,5,7,2,6,3]=>[8,3,7,6,5,2,4,1]
[5,8,3,7,1,6,2,4]=>[5,7,8,6,4,3,2,1]
[5,8,7,2,6,1,3,4]=>[4,7,6,5,8,3,2,1]
[8,6,2,7,5,1,3,4]=>[8,7,6,3,5,4,2,1]
[3,6,8,1,7,5,2,4]=>[6,7,4,3,8,5,1,2]
[5,1,6,8,2,7,4,3]=>[2,6,8,5,4,7,3,1]
[6,5,2,8,1,7,4,3]=>[8,3,6,5,4,7,2,1]
[5,2,7,1,8,6,4,3]=>[7,2,4,5,8,6,3,1]
[5,8,2,7,6,4,3,1]=>[8,4,5,7,6,3,2,1]
[6,2,8,7,5,4,3,1]=>[3,6,8,7,5,4,2,1]
[7,6,2,1,8,5,4,3]=>[4,3,7,6,8,5,2,1]
[6,1,7,2,8,5,4,3]=>[2,7,4,6,8,5,3,1]
[7,5,1,8,2,6,4,3]=>[3,8,6,5,7,4,2,1]
[4,7,1,8,6,2,5,3]=>[8,3,5,6,7,2,4,1]
[7,8,3,1,6,5,2,4]=>[6,4,7,8,3,5,2,1]
[8,7,4,6,1,5,3,2]=>[8,5,6,7,4,3,2,1]
[8,5,7,1,6,4,3,2]=>[8,4,6,7,5,3,2,1]
[6,8,1,7,5,4,3,2]=>[8,3,6,7,5,4,2,1]
[7,1,8,6,5,4,3,2]=>[2,7,8,6,5,4,3,1]
[5,4,2,3,7,6,1,8]=>[4,5,3,2,7,6,1,8]
[6,4,2,7,3,5,1,8]=>[4,7,3,6,5,2,1,8]
[7,4,2,6,3,5,1,8]=>[4,7,6,3,5,2,1,8]
[8,4,2,6,3,1,5,7]=>[7,5,6,3,2,4,8,1]
[3,2,7,6,4,5,1,8]=>[3,2,6,7,5,4,1,8]
[4,7,2,6,3,5,1,8]=>[6,4,5,7,2,3,1,8]
[5,7,6,2,3,4,1,8]=>[7,5,6,4,3,2,1,8]
[1,6,5,2,3,8,4,7]=>[1,4,5,8,3,7,2,6]
[1,7,5,2,8,3,4,6]=>[1,4,7,8,6,3,5,2]
[6,8,5,2,3,1,4,7]=>[6,5,4,7,3,8,1,2]
[5,8,6,2,3,1,4,7]=>[4,5,6,7,3,8,1,2]
[4,8,2,6,3,1,5,7]=>[6,7,3,5,4,1,8,2]
[3,2,8,6,4,1,5,7]=>[4,2,6,5,7,1,8,3]
[3,2,1,6,4,8,5,7]=>[3,2,1,5,8,7,4,6]
[7,1,5,2,8,3,4,6]=>[2,4,7,8,6,3,5,1]
[1,8,5,2,7,3,4,6]=>[1,4,7,6,8,3,5,2]
[1,8,6,7,2,3,4,5]=>[1,6,5,7,8,4,3,2]
[8,1,6,7,2,3,4,5]=>[2,6,5,7,8,4,3,1]
[7,1,6,8,2,3,4,5]=>[2,6,7,5,8,4,3,1]
[3,2,1,7,8,4,5,6]=>[3,2,1,7,6,8,5,4]
[3,2,8,7,1,4,5,6]=>[7,2,5,6,1,8,4,3]
[5,8,7,2,1,3,4,6]=>[6,5,4,7,8,3,1,2]
[1,7,6,8,2,3,4,5]=>[1,6,7,5,8,4,3,2]
[6,5,8,2,3,1,4,7]=>[6,4,5,7,8,2,1,3]
[8,5,7,2,1,3,4,6]=>[4,5,6,7,8,2,3,1]
[6,4,2,8,3,1,5,7]=>[7,5,3,6,2,8,1,4]
[5,4,2,3,8,1,6,7]=>[4,7,3,2,6,1,8,5]
[3,2,5,4,1,8,6,7]=>[3,2,5,4,1,7,8,6]
[4,5,2,3,1,8,6,7]=>[5,4,3,2,1,7,8,6]
[5,4,2,3,1,8,6,7]=>[4,5,3,2,1,7,8,6]
[6,4,2,1,3,8,5,7]=>[4,3,5,2,8,7,1,6]
[7,4,2,1,8,3,5,6]=>[4,3,7,2,6,8,5,1]
[8,4,2,1,7,3,5,6]=>[4,3,7,6,2,8,5,1]
[1,4,2,8,7,3,5,6]=>[1,3,8,6,7,2,5,4]
[1,5,8,2,7,3,4,6]=>[1,6,4,8,7,5,2,3]
[8,5,1,2,7,3,4,6]=>[3,4,7,6,8,2,5,1]
[7,5,1,2,8,3,4,6]=>[3,4,7,8,6,2,5,1]
[6,5,1,2,3,8,4,7]=>[3,4,5,8,2,7,1,6]
[4,6,2,1,3,8,5,7]=>[3,4,5,8,1,7,2,6]
[3,2,6,1,4,8,5,7]=>[5,2,4,1,8,7,3,6]
[3,2,7,1,8,4,5,6]=>[7,2,4,1,6,8,5,3]
[4,7,2,1,8,3,5,6]=>[3,4,7,8,6,1,5,2]
[7,6,1,8,2,3,4,5]=>[3,6,7,5,8,4,2,1]
[8,6,1,7,2,3,4,5]=>[3,6,5,7,8,4,2,1]
[1,6,8,7,2,3,4,5]=>[1,7,5,6,8,4,3,2]
[1,7,8,6,2,3,4,5]=>[1,6,5,7,8,4,3,2]
[7,8,1,6,2,3,4,5]=>[5,3,6,7,8,4,2,1]
[6,8,1,7,2,3,4,5]=>[5,3,7,6,8,4,2,1]
[4,8,2,1,7,3,5,6]=>[3,4,6,8,7,1,5,2]
[3,2,8,1,7,4,5,6]=>[6,2,4,1,7,8,5,3]
[3,2,1,8,7,4,5,6]=>[3,2,1,6,7,8,5,4]
[5,1,8,2,7,3,4,6]=>[2,6,4,8,7,5,1,3]
[6,1,8,7,2,3,4,5]=>[2,7,5,6,8,4,3,1]
[8,1,7,6,2,3,4,5]=>[2,5,6,7,8,4,3,1]
[1,8,7,6,2,3,4,5]=>[1,5,6,7,8,4,3,2]
[6,3,5,1,2,4,8,7]=>[5,4,6,2,3,1,8,7]
[4,3,5,6,1,2,8,7]=>[4,3,6,5,2,1,8,7]
[8,3,7,5,2,1,4,6]=>[7,6,5,4,2,8,3,1]
[6,3,7,5,1,8,4,2]=>[6,7,5,3,4,8,2,1]
[6,5,2,7,1,8,3,4]=>[8,3,6,5,4,7,2,1]
[8,5,2,7,4,1,3,6]=>[5,7,6,3,8,2,4,1]
[2,6,1,5,4,3,8,7]=>[6,3,1,5,4,2,8,7]
[6,4,3,5,1,2,8,7]=>[6,4,5,3,2,1,8,7]
[5,3,1,4,6,2,8,7]=>[3,4,5,2,6,1,8,7]
[3,1,4,6,5,2,8,7]=>[2,3,4,6,5,1,8,7]
[5,7,4,6,2,8,3,1]=>[6,7,4,5,3,8,2,1]
[8,1,4,7,2,6,3,5]=>[2,7,5,6,8,3,4,1]
[3,4,7,8,5,2,1,6]=>[4,8,6,7,5,2,1,3]
[2,1,8,5,7,3,4,6]=>[2,1,7,6,8,4,5,3]
[8,6,3,5,1,7,4,2]=>[7,5,4,6,8,3,2,1]
[5,8,2,4,6,7,3,1]=>[6,4,7,3,8,5,2,1]
[3,4,8,6,5,7,1,2]=>[3,4,8,6,7,5,2,1]
[7,5,4,8,1,6,3,2]=>[8,6,4,5,7,3,2,1]
[5,1,4,6,8,2,7,3]=>[2,5,4,8,6,3,7,1]
[2,5,4,6,7,1,8,3]=>[3,5,4,7,6,1,8,2]
[2,4,6,3,7,5,8,1]=>[2,6,5,3,7,4,8,1]
[4,1,6,3,8,5,7,2]=>[2,8,5,3,7,4,6,1]
[3,7,4,2,8,6,5,1]=>[7,5,4,2,8,6,3,1]
[7,4,1,3,5,8,6,2]=>[3,5,4,6,7,8,2,1]
[6,5,8,4,1,7,3,2]=>[7,8,5,4,3,6,2,1]
[8,5,3,7,4,1,6,2]=>[8,7,6,4,3,5,2,1]
[2,1,4,8,3,7,6,5]=>[2,1,8,5,3,7,6,4]
[7,4,3,8,2,1,6,5]=>[5,8,3,6,2,7,4,1]
[6,3,7,4,1,8,2,5]=>[4,8,5,6,2,7,3,1]
[8,3,1,2,5,7,6,4]=>[3,4,2,6,8,7,5,1]
[3,1,8,2,7,6,5,4]=>[2,8,4,1,7,6,5,3]
[2,3,8,1,6,7,5,4]=>[2,7,4,1,8,6,5,3]
[4,3,7,2,6,8,5,1]=>[7,3,5,2,6,8,4,1]
[4,7,2,3,8,5,6,1]=>[5,4,8,2,7,6,3,1]
[3,8,2,1,7,5,6,4]=>[3,4,7,1,8,6,5,2]
[2,8,1,3,6,5,7,4]=>[4,3,1,7,6,8,5,2]
[2,7,8,5,4,3,1,6]=>[3,6,7,5,4,8,1,2]
[8,7,1,6,3,4,2,5]=>[3,6,7,5,8,4,2,1]
[3,8,6,7,2,4,1,5]=>[8,7,6,5,3,4,1,2]
[5,3,8,7,4,2,6,1]=>[5,8,7,6,3,2,4,1]
[4,3,8,7,2,1,6,5]=>[8,7,6,5,2,1,4,3]
[8,3,6,1,4,2,7,5]=>[6,4,7,5,2,8,3,1]
[7,3,5,8,2,4,1,6]=>[5,7,3,6,8,2,4,1]
[2,3,4,1,8,5,7,6]=>[2,3,4,1,6,8,7,5]
[4,1,3,2,6,7,8,5]=>[2,4,3,1,6,7,8,5]
[8,3,5,6,2,7,1,4]=>[6,5,8,4,7,2,3,1]
[5,3,6,1,8,7,2,4]=>[6,5,4,2,7,8,3,1]
[5,6,2,8,7,4,1,3]=>[6,5,3,7,8,4,2,1]
[7,8,5,6,1,4,2,3]=>[5,7,8,6,4,3,2,1]
[2,8,6,5,4,7,1,3]=>[3,8,6,5,7,4,1,2]
[8,1,6,4,5,7,2,3]=>[2,6,8,5,7,4,3,1]
[5,8,3,6,1,7,2,4]=>[5,8,7,6,4,3,2,1]
[2,1,8,6,5,7,3,4]=>[2,1,8,6,7,5,4,3]
[2,1,7,5,3,6,8,4]=>[2,1,5,6,7,4,8,3]
[6,7,3,5,2,1,8,4]=>[6,5,7,3,4,2,8,1]
[7,1,4,2,5,6,8,3]=>[2,4,5,6,7,3,8,1]
[2,7,4,1,6,5,8,3]=>[7,4,5,1,6,3,8,2]
[4,6,1,2,8,7,3,5]=>[4,3,6,5,7,8,1,2]
[2,4,1,5,8,7,6,3]=>[4,3,1,5,8,7,6,2]
[4,1,2,5,8,6,7,3]=>[2,3,4,5,7,8,6,1]
[6,4,2,1,5,8,7,3]=>[4,3,5,6,2,8,7,1]
[8,5,2,4,6,1,7,3]=>[5,7,3,6,4,8,2,1]
[7,5,3,2,6,8,1,4]=>[6,4,3,8,5,7,2,1]
[2,1,5,3,6,8,7,4]=>[2,1,4,5,6,8,7,3]
[7,3,5,4,6,1,8,2]=>[4,7,5,6,3,2,8,1]
[6,3,4,1,5,7,8,2]=>[5,4,3,6,2,7,8,1]
[4,3,1,5,7,6,8,2]=>[3,4,2,5,7,6,8,1]
[3,1,4,5,6,8,7,2]=>[2,3,4,5,6,8,7,1]
[4,5,2,6,3,1,8,7]=>[5,4,3,6,2,1,8,7]
[6,5,2,1,4,3,8,7]=>[4,3,6,5,2,1,8,7]
[6,5,2,7,4,8,3,1]=>[4,6,5,7,3,8,2,1]
[8,5,2,7,4,1,6,3]=>[8,7,6,3,4,5,2,1]
[8,3,7,5,2,1,6,4]=>[7,6,5,8,2,4,3,1]
[6,3,7,5,2,8,4,1]=>[5,7,6,3,4,8,2,1]
[3,1,6,5,4,2,8,7]=>[2,3,6,5,4,1,8,7]
[5,6,3,2,4,1,8,7]=>[4,5,6,3,2,1,8,7]
[3,6,2,4,1,5,8,7]=>[5,4,6,3,1,2,8,7]
[2,6,1,3,5,4,8,7]=>[4,3,1,6,5,2,8,7]
[6,7,2,3,4,8,5,1]=>[5,4,6,7,3,8,2,1]
[8,7,2,3,4,1,6,5]=>[4,5,6,3,8,7,2,1]
[5,1,7,3,8,4,6,2]=>[2,8,5,6,7,3,4,1]
[2,5,7,3,8,6,4,1]=>[2,7,5,4,8,6,3,1]
[7,6,1,3,5,8,4,2]=>[3,5,7,6,4,8,2,1]
[3,6,7,4,1,8,5,2]=>[4,6,5,7,2,8,3,1]
[5,6,3,7,4,8,1,2]=>[6,5,4,8,3,7,2,1]
[2,1,6,7,4,8,5,3]=>[2,1,7,6,5,8,4,3]
[2,1,8,7,4,3,6,5]=>[2,1,6,5,8,7,4,3]
[5,8,3,7,4,2,6,1]=>[7,8,4,6,5,2,3,1]
[3,8,7,4,1,2,6,5]=>[8,5,6,4,7,1,3,2]
[7,8,1,3,5,2,6,4]=>[7,3,6,4,8,5,2,1]
[5,8,7,3,2,6,1,4]=>[7,8,5,4,3,6,2,1]
[2,8,6,3,1,5,7,4]=>[6,5,4,7,1,8,3,2]
[8,1,6,3,2,5,4,7]=>[2,5,4,7,6,3,8,1]
[2,8,4,1,6,3,7,5]=>[6,4,7,1,3,8,5,2]
[4,8,1,2,7,6,3,5]=>[4,3,7,5,8,6,1,2]
[3,8,4,2,5,7,1,6]=>[8,5,4,6,7,3,1,2]
[6,8,3,5,2,7,4,1]=>[6,7,4,8,3,5,2,1]
[2,1,5,3,8,7,6,4]=>[2,1,4,5,8,7,6,3]
[6,5,3,2,8,7,1,4]=>[6,4,3,5,7,8,2,1]
[7,5,2,4,8,1,6,3]=>[5,8,3,4,6,7,2,1]
[3,4,2,8,5,7,6,1]=>[3,4,2,6,8,7,5,1]
[2,4,1,8,7,6,5,3]=>[4,3,1,8,7,6,5,2]
[8,4,2,1,7,5,3,6]=>[4,3,8,7,6,2,5,1]
[4,3,1,8,6,7,5,2]=>[3,4,2,7,8,6,5,1]
[3,1,4,8,6,5,7,2]=>[2,3,4,7,6,8,5,1]
[7,1,6,5,4,8,2,3]=>[2,8,6,5,4,7,3,1]
[3,7,5,6,8,4,2,1]=>[3,6,7,5,8,4,2,1]
[5,7,1,6,8,2,4,3]=>[8,3,5,7,6,4,2,1]
[8,6,2,5,1,7,4,3]=>[7,5,3,6,8,4,2,1]
[5,6,2,1,8,7,3,4]=>[3,4,6,5,7,8,2,1]
[4,6,2,5,8,3,7,1]=>[8,4,3,5,7,2,6,1]
[7,5,2,6,3,8,1,4]=>[6,5,8,3,4,7,2,1]
[4,1,2,3,6,8,7,5]=>[2,3,4,1,6,8,7,5]
[2,4,3,1,8,5,6,7]=>[2,4,3,1,6,7,8,5]
[7,5,2,8,3,4,6,1]=>[4,7,8,6,3,5,2,1]
[5,6,2,8,4,3,1,7]=>[6,8,5,7,3,2,1,4]
[4,7,2,8,1,5,3,6]=>[3,7,6,5,4,8,1,2]
[8,7,2,1,4,5,6,3]=>[4,3,6,7,8,5,2,1]
[3,6,8,7,1,5,4,2]=>[6,7,5,8,2,4,3,1]
[5,7,8,6,3,4,1,2]=>[5,7,8,6,4,3,2,1]
[7,1,8,5,4,3,6,2]=>[2,6,7,5,8,4,3,1]
[2,7,8,4,5,3,6,1]=>[2,7,6,5,8,4,3,1]
[5,7,3,8,1,4,6,2]=>[4,7,8,5,6,2,3,1]
[2,1,7,8,5,4,6,3]=>[2,1,6,7,8,5,4,3]
[2,1,5,8,4,6,3,7]=>[2,1,7,6,8,5,3,4]
[6,5,3,8,4,1,2,7]=>[5,7,8,6,3,2,1,4]
[7,5,8,4,3,6,2,1]=>[6,8,7,4,5,3,2,1]
[2,4,8,3,5,6,1,7]=>[2,6,5,8,7,4,1,3]
[4,1,8,3,6,5,2,7]=>[2,7,5,8,6,4,1,3]
[3,4,8,1,7,2,5,6]=>[8,6,4,2,7,1,5,3]
[8,4,1,3,7,2,6,5]=>[3,8,4,6,2,7,5,1]
[3,1,8,2,4,7,6,5]=>[2,5,4,1,8,7,6,3]
[2,3,8,1,4,6,7,5]=>[2,5,4,1,7,8,6,3]
[4,3,8,2,5,1,7,6]=>[6,8,5,2,4,1,7,3]
[6,3,8,4,2,5,7,1]=>[7,5,6,3,8,2,4,1]
[7,4,3,8,2,5,1,6]=>[7,8,3,6,5,2,4,1]
[2,1,4,8,3,5,7,6]=>[2,1,6,5,3,8,7,4]
[6,8,2,4,3,5,1,7]=>[6,4,5,7,3,8,1,2]
[4,8,2,3,5,1,6,7]=>[5,4,6,7,3,1,8,2]
[3,8,2,1,4,6,5,7]=>[3,4,5,1,7,6,8,2]
[2,8,1,3,4,5,7,6]=>[4,3,1,5,6,8,7,2]
          

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

Description

The catalanization of a permutation.
For a permutation $\sigma$, this is the product of the reflections corresponding to the inversions of $\sigma$ in lex-order.
A permutation is $231$-avoiding if and only if it is a fixpoint of this map. Also, for every permutation there exists an index $k$ such that the $k$-fold application of this map is $231$-avoiding.

References

[1] Can, M. B., Nelson, L., Treat, K. A catalanization map on the symmetric group MathSciNet:4479705

Properties

graded

Sage code

def mapping(pi): 

    Pi = Permutations(len(pi)) 

    return prod([Pi(Permutation(t)) for t in sorted(pi.inversions())], Pi.one())

Weight

Created

Oct 19, 2022 at 14:02 by Christian Stump

Updated

Dec 19, 2022 at 09:00 by Martin Rubey