- FindStat

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Identifier

Mp00300: Parking functions —leading to ones⟶ Parking functions

Images

=>
            
              
            

            [1]=>[1]
[1,1]=>[1,1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,1,1]=>[1,1,1]
[1,1,2]=>[1,1,2]
[1,2,1]=>[1,2,1]
[2,1,1]=>[2,2,1]
[1,1,3]=>[1,1,3]
[1,3,1]=>[2,1,1]
[3,1,1]=>[2,1,2]
[1,2,2]=>[1,2,2]
[2,1,2]=>[3,1,1]
[2,2,1]=>[1,3,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[2,1,3]
[2,1,3]=>[2,3,1]
[2,3,1]=>[1,3,2]
[3,1,2]=>[3,1,2]
[3,2,1]=>[3,2,1]
[1,1,1,1]=>[1,1,1,1]
[1,1,1,2]=>[1,1,1,2]
[1,1,2,1]=>[1,1,2,1]
[1,2,1,1]=>[1,2,1,1]
[2,1,1,1]=>[2,2,2,1]
[1,1,1,3]=>[1,1,1,3]
[1,1,3,1]=>[1,1,3,1]
[1,3,1,1]=>[2,1,1,1]
[3,1,1,1]=>[2,2,1,2]
[1,1,1,4]=>[1,1,1,4]
[1,1,4,1]=>[1,3,1,1]
[1,4,1,1]=>[3,1,1,1]
[4,1,1,1]=>[2,1,2,2]
[1,1,2,2]=>[1,1,2,2]
[1,2,1,2]=>[1,2,1,2]
[1,2,2,1]=>[1,2,2,1]
[2,1,1,2]=>[3,3,1,1]
[2,1,2,1]=>[3,1,3,1]
[2,2,1,1]=>[1,3,3,1]
[1,1,2,3]=>[1,2,1,4]
[1,1,3,2]=>[2,1,1,4]
[1,2,1,3]=>[1,1,2,3]
[1,2,3,1]=>[2,1,4,1]
[1,3,1,2]=>[1,1,3,2]
[1,3,2,1]=>[1,2,4,1]
[2,1,1,3]=>[2,2,3,1]
[2,1,3,1]=>[2,3,2,1]
[2,3,1,1]=>[1,3,3,2]
[3,1,1,2]=>[2,4,1,2]
[3,1,2,1]=>[4,2,1,2]
[3,2,1,1]=>[3,3,2,1]
[1,1,2,4]=>[1,1,2,4]
[1,1,4,2]=>[3,1,1,4]
[1,2,1,4]=>[1,2,1,3]
[1,2,4,1]=>[2,4,1,1]
[1,4,1,2]=>[1,3,1,2]
[1,4,2,1]=>[1,4,2,1]
[2,1,1,4]=>[2,2,4,1]
[2,1,4,1]=>[3,2,2,1]
[2,4,1,1]=>[3,1,3,2]
[4,1,1,2]=>[2,1,2,4]
[4,1,2,1]=>[3,1,2,2]
[4,2,1,1]=>[3,2,1,3]
[1,1,3,3]=>[1,1,3,3]
[1,3,1,3]=>[2,1,1,2]
[1,3,3,1]=>[2,1,2,1]
[3,1,1,3]=>[2,2,1,1]
[3,1,3,1]=>[3,1,1,3]
[3,3,1,1]=>[1,3,1,3]
[1,1,3,4]=>[1,1,3,4]
[1,1,4,3]=>[1,3,1,4]
[1,3,1,4]=>[2,1,1,3]
[1,3,4,1]=>[4,2,1,1]
[1,4,1,3]=>[3,1,1,2]
[1,4,3,1]=>[4,1,2,1]
[3,1,1,4]=>[2,2,1,3]
[3,1,4,1]=>[2,3,1,2]
[3,4,1,1]=>[1,3,2,3]
[4,1,1,3]=>[2,1,4,2]
[4,1,3,1]=>[4,1,2,2]
[4,3,1,1]=>[3,2,3,1]
[1,2,2,2]=>[1,2,2,2]
[2,1,2,2]=>[4,1,1,1]
[2,2,1,2]=>[1,4,1,1]
[2,2,2,1]=>[1,1,4,1]
[1,2,2,3]=>[1,2,2,3]
[1,2,3,2]=>[1,2,3,2]
[1,3,2,2]=>[2,1,3,3]
[2,1,2,3]=>[1,4,1,2]
[2,1,3,2]=>[1,3,2,1]
[2,2,1,3]=>[3,1,4,1]
[2,2,3,1]=>[1,1,4,2]
[2,3,1,2]=>[3,4,1,1]
[2,3,2,1]=>[1,2,3,1]
[3,1,2,2]=>[3,3,1,2]
[3,2,1,2]=>[4,2,2,1]
[3,2,2,1]=>[2,4,2,1]
[1,2,2,4]=>[1,2,2,4]
[1,2,4,2]=>[1,3,2,2]
[1,4,2,2]=>[2,3,1,3]
[2,1,2,4]=>[4,1,1,2]
[2,1,4,2]=>[3,1,2,1]
[2,2,1,4]=>[1,3,4,1]
[2,2,4,1]=>[1,1,4,3]
[2,4,1,2]=>[4,3,1,1]
[2,4,2,1]=>[2,1,3,1]
[4,1,2,2]=>[3,1,2,3]
[4,2,1,2]=>[3,2,1,2]
[4,2,2,1]=>[2,2,1,4]
[1,2,3,3]=>[1,2,3,3]
[1,3,2,3]=>[2,1,3,2]
[1,3,3,2]=>[2,1,2,3]
[2,1,3,3]=>[2,3,3,1]
[2,3,1,3]=>[1,4,2,2]
[2,3,3,1]=>[1,2,4,2]
[3,1,2,3]=>[2,3,1,1]
[3,1,3,2]=>[4,1,3,1]
[3,2,1,3]=>[3,2,1,1]
[3,2,3,1]=>[4,1,1,3]
[3,3,1,2]=>[1,4,1,3]
[3,3,2,1]=>[1,4,3,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[1,3,2,4]
[1,3,2,4]=>[2,1,3,4]
[1,3,4,2]=>[3,1,2,4]
[1,4,2,3]=>[2,3,1,4]
[1,4,3,2]=>[3,2,1,4]
[2,1,3,4]=>[3,2,4,1]
[2,1,4,3]=>[2,3,4,1]
[2,3,1,4]=>[1,3,4,2]
[2,3,4,1]=>[1,2,4,3]
[2,4,1,3]=>[3,1,4,2]
[2,4,3,1]=>[2,1,4,3]
[3,1,2,4]=>[2,4,1,3]
[3,1,4,2]=>[3,4,1,2]
[3,2,1,4]=>[2,4,3,1]
[3,2,4,1]=>[3,4,2,1]
[3,4,1,2]=>[1,4,2,3]
[3,4,2,1]=>[1,4,3,2]
[4,1,2,3]=>[4,1,3,2]
[4,1,3,2]=>[4,1,2,3]
[4,2,1,3]=>[4,3,1,2]
[4,2,3,1]=>[4,2,1,3]
[4,3,1,2]=>[4,3,2,1]
[4,3,2,1]=>[4,2,3,1]
[1,1,1,1,1]=>[1,1,1,1,1]
[1,1,1,1,2]=>[1,1,1,1,2]
[1,1,1,2,1]=>[1,1,1,2,1]
[1,1,2,1,1]=>[1,1,2,1,1]
[1,2,1,1,1]=>[1,2,1,1,1]
[2,1,1,1,1]=>[2,2,2,2,1]
[1,1,1,1,3]=>[1,1,1,1,3]
[1,1,1,3,1]=>[1,1,1,3,1]
[1,1,3,1,1]=>[1,1,3,1,1]
[1,3,1,1,1]=>[2,1,1,1,1]
[3,1,1,1,1]=>[2,2,2,1,2]
[1,1,1,1,4]=>[1,1,1,1,4]
[1,1,1,4,1]=>[1,1,1,4,1]
[1,1,4,1,1]=>[1,3,1,1,1]
[1,4,1,1,1]=>[3,1,1,1,1]
[4,1,1,1,1]=>[2,2,1,2,2]
[1,1,1,1,5]=>[1,1,1,1,5]
[1,1,1,5,1]=>[1,1,4,1,1]
[1,1,5,1,1]=>[1,4,1,1,1]
[1,5,1,1,1]=>[4,1,1,1,1]
[5,1,1,1,1]=>[2,1,2,2,2]
[1,1,1,2,2]=>[1,1,1,2,2]
[1,1,2,1,2]=>[1,1,2,1,2]
[1,1,2,2,1]=>[1,1,2,2,1]
[1,2,1,1,2]=>[1,2,1,1,2]
[1,2,1,2,1]=>[1,2,1,2,1]
[1,2,2,1,1]=>[1,2,2,1,1]
[2,1,1,1,2]=>[3,3,3,1,1]
[2,1,1,2,1]=>[3,3,1,3,1]
[2,1,2,1,1]=>[3,1,3,3,1]
[2,2,1,1,1]=>[1,3,3,3,1]
[1,1,1,2,3]=>[1,2,1,1,5]
[1,1,1,3,2]=>[2,1,1,1,5]
[1,1,2,1,3]=>[1,1,1,2,3]
[1,1,2,3,1]=>[2,1,1,5,1]
[1,1,3,1,2]=>[1,1,1,3,2]
[1,1,3,2,1]=>[1,2,1,5,1]
[1,2,1,1,3]=>[1,1,2,1,3]
[1,2,1,3,1]=>[1,1,2,3,1]
[1,2,3,1,1]=>[2,1,5,1,1]
[1,3,1,1,2]=>[1,1,3,1,2]
[1,3,1,2,1]=>[1,1,3,2,1]
[1,3,2,1,1]=>[1,2,5,1,1]
[2,1,1,1,3]=>[2,2,2,3,1]
[2,1,1,3,1]=>[2,2,3,2,1]
[2,1,3,1,1]=>[2,3,2,2,1]
[2,3,1,1,1]=>[1,3,3,3,2]
[3,1,1,1,2]=>[2,2,5,1,2]
[3,1,1,2,1]=>[2,5,2,1,2]
[3,1,2,1,1]=>[5,2,2,1,2]
[3,2,1,1,1]=>[3,3,3,2,1]
[1,1,1,2,4]=>[1,1,2,1,5]
[1,1,1,4,2]=>[3,1,1,1,5]
[1,1,2,1,4]=>[1,1,1,2,4]
[1,1,2,4,1]=>[3,1,1,5,1]
[1,1,4,1,2]=>[1,1,1,4,2]
[1,1,4,2,1]=>[1,1,2,5,1]
[1,2,1,1,4]=>[1,2,1,1,3]
[1,2,1,4,1]=>[1,2,1,3,1]
[1,2,4,1,1]=>[2,5,1,1,1]
[1,4,1,1,2]=>[1,3,1,1,2]
[1,4,1,2,1]=>[1,3,1,2,1]
[1,4,2,1,1]=>[1,5,2,1,1]
[2,1,1,1,4]=>[2,2,2,4,1]
[2,1,1,4,1]=>[2,2,4,2,1]
[2,1,4,1,1]=>[3,2,2,2,1]
[2,4,1,1,1]=>[3,1,3,3,2]
[4,1,1,1,2]=>[2,2,1,2,5]
[4,1,1,2,1]=>[2,4,1,2,2]
[4,1,2,1,1]=>[4,2,1,2,2]
[4,2,1,1,1]=>[3,3,2,1,3]
[1,1,1,2,5]=>[1,1,1,2,5]
[1,1,1,5,2]=>[4,1,1,1,5]
[1,1,2,1,5]=>[1,1,2,1,4]
[1,1,2,5,1]=>[3,1,5,1,1]
[1,1,5,1,2]=>[1,1,4,1,2]
[1,1,5,2,1]=>[1,1,5,2,1]
[1,2,1,1,5]=>[1,2,1,1,4]
[1,2,1,5,1]=>[1,2,3,1,1]
[1,2,5,1,1]=>[3,5,1,1,1]
[1,5,1,1,2]=>[1,4,1,1,2]
[1,5,1,2,1]=>[1,5,1,2,1]
[1,5,2,1,1]=>[1,3,2,1,1]
[2,1,1,1,5]=>[2,2,2,5,1]
[2,1,1,5,1]=>[2,4,2,2,1]
[2,1,5,1,1]=>[4,2,2,2,1]
[2,5,1,1,1]=>[3,3,1,3,2]
[5,1,1,1,2]=>[2,1,2,2,4]
[5,1,1,2,1]=>[2,1,2,4,2]
[5,1,2,1,1]=>[3,1,2,2,2]
[5,2,1,1,1]=>[3,2,1,3,3]
[1,1,1,3,3]=>[1,1,1,3,3]
[1,1,3,1,3]=>[1,1,3,1,3]
[1,1,3,3,1]=>[1,1,3,3,1]
[1,3,1,1,3]=>[2,1,1,1,2]
[1,3,1,3,1]=>[2,1,1,2,1]
[1,3,3,1,1]=>[2,1,2,1,1]
[3,1,1,1,3]=>[2,2,2,1,1]
[3,1,1,3,1]=>[3,3,1,1,3]
[3,1,3,1,1]=>[3,1,3,1,3]
[3,3,1,1,1]=>[1,3,3,1,3]
[1,1,1,3,4]=>[1,1,3,1,5]
[1,1,1,4,3]=>[1,3,1,1,5]
[1,1,3,1,4]=>[1,1,1,3,4]
[1,1,3,4,1]=>[1,3,1,5,1]
[1,1,4,1,3]=>[1,1,1,4,3]
[1,1,4,3,1]=>[1,1,3,5,1]
[1,3,1,1,4]=>[2,1,1,1,3]
[1,3,1,4,1]=>[2,1,1,3,1]
[1,3,4,1,1]=>[5,2,1,1,1]
[1,4,1,1,3]=>[3,1,1,1,2]
[1,4,1,3,1]=>[3,1,1,2,1]
[1,4,3,1,1]=>[5,1,2,1,1]
[3,1,1,1,4]=>[2,2,2,1,3]
[3,1,1,4,1]=>[2,2,3,1,2]
[3,1,4,1,1]=>[2,3,2,1,2]
[3,4,1,1,1]=>[1,3,3,2,3]
[4,1,1,1,3]=>[2,2,1,5,2]
[4,1,1,3,1]=>[2,5,1,2,2]
[4,1,3,1,1]=>[5,2,1,2,2]
[4,3,1,1,1]=>[3,3,2,3,1]
[1,1,1,3,5]=>[1,1,1,3,5]
[1,1,1,5,3]=>[1,4,1,1,5]
[1,1,3,1,5]=>[1,1,3,1,4]
[1,1,3,5,1]=>[1,3,5,1,1]
[1,1,5,1,3]=>[1,1,4,1,3]
[1,1,5,3,1]=>[1,1,5,3,1]
[1,3,1,1,5]=>[2,1,1,1,4]
[1,3,1,5,1]=>[2,1,3,1,1]
[1,3,5,1,1]=>[5,3,1,1,1]
[1,5,1,1,3]=>[4,1,1,1,2]
[1,5,1,3,1]=>[5,1,1,2,1]
[1,5,3,1,1]=>[3,1,2,1,1]
[3,1,1,1,5]=>[2,2,2,1,4]
[3,1,1,5,1]=>[2,2,4,1,2]
[3,1,5,1,1]=>[3,2,2,1,2]
[3,5,1,1,1]=>[3,1,3,2,3]
[5,1,1,1,3]=>[2,1,2,2,5]
[5,1,1,3,1]=>[2,1,4,2,2]
[5,1,3,1,1]=>[4,1,2,2,2]
[5,3,1,1,1]=>[3,2,3,1,3]
[1,1,1,4,4]=>[1,1,1,4,4]
[1,1,4,1,4]=>[1,3,1,1,3]
[1,1,4,4,1]=>[1,3,1,3,1]
[1,4,1,1,4]=>[3,1,1,1,3]
[1,4,1,4,1]=>[3,1,1,3,1]
[1,4,4,1,1]=>[2,2,1,1,1]
[4,1,1,1,4]=>[2,2,1,2,1]
[4,1,1,4,1]=>[2,2,1,1,2]
[4,1,4,1,1]=>[3,1,1,3,3]
[4,4,1,1,1]=>[1,3,1,3,3]
[1,1,1,4,5]=>[1,1,1,4,5]
[1,1,1,5,4]=>[1,1,4,1,5]
[1,1,4,1,5]=>[1,3,1,1,4]
[1,1,4,5,1]=>[1,5,3,1,1]
[1,1,5,1,4]=>[1,4,1,1,3]
[1,1,5,4,1]=>[1,5,1,3,1]
[1,4,1,1,5]=>[3,1,1,1,4]
[1,4,1,5,1]=>[5,1,3,1,1]
[1,4,5,1,1]=>[2,3,1,1,1]
[1,5,1,1,4]=>[4,1,1,1,3]
[1,5,1,4,1]=>[5,1,1,3,1]
[1,5,4,1,1]=>[3,2,1,1,1]
[4,1,1,1,5]=>[2,2,1,2,3]
[4,1,1,5,1]=>[2,2,1,3,2]
[4,1,5,1,1]=>[2,3,1,2,2]
[4,5,1,1,1]=>[1,3,2,3,3]
[5,1,1,1,4]=>[2,1,2,5,2]
[5,1,1,4,1]=>[2,1,5,2,2]
[5,1,4,1,1]=>[5,1,2,2,2]
[5,4,1,1,1]=>[3,2,3,3,1]
[1,1,2,2,2]=>[1,1,2,2,2]
[1,2,1,2,2]=>[1,2,1,2,2]
[1,2,2,1,2]=>[1,2,2,1,2]
[1,2,2,2,1]=>[1,2,2,2,1]
[2,1,1,2,2]=>[4,4,1,1,1]
[2,1,2,1,2]=>[4,1,4,1,1]
[2,1,2,2,1]=>[4,1,1,4,1]
[2,2,1,1,2]=>[1,4,4,1,1]
[2,2,1,2,1]=>[1,4,1,4,1]
[2,2,2,1,1]=>[1,1,4,4,1]
[1,1,2,2,3]=>[1,2,1,2,4]
[1,1,2,3,2]=>[1,2,1,4,2]
[1,1,3,2,2]=>[2,1,1,4,4]
[1,2,1,2,3]=>[1,2,2,1,4]
[1,2,1,3,2]=>[2,1,4,1,4]
[1,2,2,1,3]=>[1,1,2,2,3]
[1,2,2,3,1]=>[2,1,4,4,1]
[1,2,3,1,2]=>[1,1,2,3,2]
[1,2,3,2,1]=>[1,2,2,4,1]
[1,3,1,2,2]=>[1,1,3,2,2]
[1,3,2,1,2]=>[1,2,4,1,2]
[1,3,2,2,1]=>[1,2,4,2,1]
[2,1,1,2,3]=>[1,4,4,1,2]
[2,1,1,3,2]=>[1,3,3,2,1]
[2,1,2,1,3]=>[3,3,1,4,1]
[2,1,2,3,1]=>[1,4,1,4,2]
[2,1,3,1,2]=>[3,3,4,1,1]
[2,1,3,2,1]=>[1,3,2,3,1]
[2,2,1,1,3]=>[3,1,3,4,1]
[2,2,1,3,1]=>[3,1,4,3,1]
[2,2,3,1,1]=>[1,1,4,4,2]
[2,3,1,1,2]=>[3,4,3,1,1]
[2,3,1,2,1]=>[3,4,1,3,1]
[2,3,2,1,1]=>[1,2,3,3,1]
[3,1,1,2,2]=>[2,4,4,1,2]
[3,1,2,1,2]=>[4,2,4,1,2]
[3,1,2,2,1]=>[4,4,2,1,2]
[3,2,1,1,2]=>[4,4,2,2,1]
[3,2,1,2,1]=>[4,2,4,2,1]
[3,2,2,1,1]=>[2,4,4,2,1]
[1,1,2,2,4]=>[1,1,2,2,4]
[1,1,2,4,2]=>[1,1,2,4,2]
[1,1,4,2,2]=>[3,1,1,4,4]
[1,2,1,2,4]=>[1,2,2,1,5]
[1,2,1,4,2]=>[2,4,1,1,4]
[1,2,2,1,4]=>[1,2,1,2,3]
[1,2,2,4,1]=>[2,4,1,4,1]
[1,2,4,1,2]=>[1,2,1,3,2]
[1,2,4,2,1]=>[1,2,2,5,1]
[1,4,1,2,2]=>[1,3,1,2,2]
[1,4,2,1,2]=>[1,4,2,1,2]
[1,4,2,2,1]=>[1,4,2,2,1]
[2,1,1,2,4]=>[4,1,4,1,2]
[2,1,1,4,2]=>[3,1,3,2,1]
[2,1,2,1,4]=>[3,3,1,5,1]
[2,1,2,4,1]=>[4,1,1,4,2]
[2,1,4,1,2]=>[3,3,5,1,1]
[2,1,4,2,1]=>[3,1,2,3,1]
[2,2,1,1,4]=>[1,3,3,4,1]
[2,2,1,4,1]=>[1,3,4,3,1]
[2,2,4,1,1]=>[1,1,4,4,3]
[2,4,1,1,2]=>[4,3,3,1,1]
[2,4,1,2,1]=>[4,3,1,3,1]
[2,4,2,1,1]=>[2,1,3,3,1]
[4,1,1,2,2]=>[2,4,1,2,4]
[4,1,2,1,2]=>[4,2,1,2,4]
[4,1,2,2,1]=>[3,3,1,2,2]
[4,2,1,1,2]=>[3,3,2,1,2]
[4,2,1,2,1]=>[4,2,2,1,4]
[4,2,2,1,1]=>[2,4,2,1,4]
[1,1,2,2,5]=>[1,1,2,2,5]
[1,1,2,5,2]=>[1,1,4,2,2]
[1,1,5,2,2]=>[3,1,4,1,4]
[1,2,1,2,5]=>[1,2,1,2,5]
[1,2,1,5,2]=>[3,4,1,1,4]
[1,2,2,1,5]=>[1,2,2,1,3]
[1,2,2,5,1]=>[2,4,4,1,1]
[1,2,5,1,2]=>[1,2,3,1,2]
[1,2,5,2,1]=>[1,2,5,2,1]
[1,5,1,2,2]=>[1,4,1,2,2]
[1,5,2,1,2]=>[1,3,2,1,2]
[1,5,2,2,1]=>[1,5,2,2,1]
[2,1,1,2,5]=>[4,4,1,1,2]
[2,1,1,5,2]=>[3,3,1,2,1]
[2,1,2,1,5]=>[3,1,3,5,1]
[2,1,2,5,1]=>[4,1,1,4,3]
[2,1,5,1,2]=>[3,5,3,1,1]
[2,1,5,2,1]=>[3,2,1,3,1]
[2,2,1,1,5]=>[1,3,3,5,1]
[2,2,1,5,1]=>[1,4,3,3,1]
[2,2,5,1,1]=>[1,4,1,4,3]
[2,5,1,1,2]=>[5,3,3,1,1]
[2,5,1,2,1]=>[2,3,1,3,1]
[2,5,2,1,1]=>[4,1,3,3,1]
[5,1,1,2,2]=>[2,1,2,4,4]
[5,1,2,1,2]=>[3,1,2,2,3]
[5,1,2,2,1]=>[3,1,2,3,2]
[5,2,1,1,2]=>[3,2,1,3,2]
[5,2,1,2,1]=>[3,2,1,2,3]
[5,2,2,1,1]=>[2,2,1,4,4]
[1,1,2,3,3]=>[1,2,1,4,4]
[1,1,3,2,3]=>[2,1,1,4,2]
[1,1,3,3,2]=>[2,1,1,2,4]
[1,2,1,3,3]=>[1,1,2,3,3]
[1,2,3,1,3]=>[2,1,4,1,2]
[1,2,3,3,1]=>[2,1,4,2,1]
[1,3,1,2,3]=>[1,2,4,1,4]
[1,3,1,3,2]=>[2,1,2,1,4]
[1,3,2,1,3]=>[1,1,3,2,3]
[1,3,2,3,1]=>[2,1,2,4,1]
[1,3,3,1,2]=>[1,1,3,3,2]
[1,3,3,2,1]=>[1,2,4,4,1]
[2,1,1,3,3]=>[2,2,3,3,1]
[2,1,3,1,3]=>[2,3,2,3,1]
[2,1,3,3,1]=>[2,3,3,2,1]
[2,3,1,1,3]=>[1,4,4,2,2]
[2,3,1,3,1]=>[1,4,2,4,2]
[2,3,3,1,1]=>[1,2,4,4,2]
[3,1,1,2,3]=>[2,2,3,1,1]
[3,1,1,3,2]=>[4,4,1,3,1]
[3,1,2,1,3]=>[2,3,2,1,1]
[3,1,2,3,1]=>[3,5,1,1,3]
[3,1,3,1,2]=>[3,1,5,1,3]
[3,1,3,2,1]=>[4,1,4,3,1]
[3,2,1,1,3]=>[3,2,2,1,1]
[3,2,1,3,1]=>[5,3,1,1,3]
[3,2,3,1,1]=>[5,1,3,1,3]
[3,3,1,1,2]=>[1,3,5,1,3]
[3,3,1,2,1]=>[1,5,3,1,3]
[3,3,2,1,1]=>[1,4,4,3,1]
[1,1,2,3,4]=>[1,2,4,1,5]
[1,1,2,4,3]=>[1,4,2,1,5]
[1,1,3,2,4]=>[2,1,4,1,5]
[1,1,3,4,2]=>[4,1,2,1,5]
[1,1,4,2,3]=>[2,4,1,1,5]
[1,1,4,3,2]=>[4,2,1,1,5]
[1,2,1,3,4]=>[1,1,3,2,5]
[1,2,1,4,3]=>[1,3,1,2,5]
[1,2,3,1,4]=>[2,1,1,4,3]
[1,2,3,4,1]=>[4,2,1,5,1]
[1,2,4,1,3]=>[3,1,1,5,2]
[1,2,4,3,1]=>[4,1,2,5,1]
[1,3,1,2,4]=>[1,1,2,3,4]
[1,3,1,4,2]=>[3,1,1,2,5]
[1,3,2,1,4]=>[1,2,1,4,3]
[1,3,2,4,1]=>[2,4,1,5,1]
[1,3,4,1,2]=>[1,3,1,5,2]
[1,3,4,2,1]=>[1,4,2,5,1]
[1,4,1,2,3]=>[1,2,1,3,4]
[1,4,1,3,2]=>[2,1,1,3,4]
[1,4,2,1,3]=>[1,1,2,4,3]
[1,4,2,3,1]=>[2,1,4,5,1]
[1,4,3,1,2]=>[1,1,3,5,2]
[1,4,3,2,1]=>[1,2,4,5,1]
[2,1,1,3,4]=>[3,2,2,5,1]
[2,1,1,4,3]=>[2,3,2,5,1]
[2,1,3,1,4]=>[2,2,3,4,1]
[2,1,3,4,1]=>[3,2,5,2,1]
[2,1,4,1,3]=>[2,2,4,3,1]
[2,1,4,3,1]=>[2,3,5,2,1]
[2,3,1,1,4]=>[1,3,3,4,2]
[2,3,1,4,1]=>[1,3,4,3,2]
[2,3,4,1,1]=>[1,2,4,4,3]
[2,4,1,1,3]=>[3,1,3,4,2]
[2,4,1,3,1]=>[3,1,4,3,2]
[2,4,3,1,1]=>[2,1,4,4,3]
[3,1,1,2,4]=>[2,2,5,1,3]
[3,1,1,4,2]=>[4,2,5,1,2]
[3,1,2,1,4]=>[2,5,2,1,3]
[3,1,2,4,1]=>[2,4,3,1,2]
[3,1,4,1,2]=>[2,3,4,1,2]
[3,1,4,2,1]=>[4,5,2,1,2]
[3,2,1,1,4]=>[2,4,4,3,1]
[3,2,1,4,1]=>[3,3,4,2,1]
[3,2,4,1,1]=>[3,4,3,2,1]
[3,4,1,1,2]=>[1,3,5,2,3]
[3,4,1,2,1]=>[1,5,3,2,3]
[3,4,2,1,1]=>[1,4,4,3,2]
[4,1,1,2,3]=>[2,5,1,4,2]
[4,1,1,3,2]=>[2,5,1,2,4]
[4,1,2,1,3]=>[5,2,1,4,2]
[4,1,2,3,1]=>[3,4,1,2,2]
[4,1,3,1,2]=>[5,2,1,2,4]
[4,1,3,2,1]=>[4,3,1,2,2]
[4,2,1,1,3]=>[4,4,3,1,2]
[4,2,1,3,1]=>[3,5,2,1,3]
[4,2,3,1,1]=>[5,3,2,1,3]
[4,3,1,1,2]=>[4,4,3,2,1]
[4,3,1,2,1]=>[3,5,2,3,1]
[4,3,2,1,1]=>[5,3,2,3,1]
[1,1,2,3,5]=>[1,2,1,4,5]
[1,1,2,5,3]=>[1,4,1,2,5]
[1,1,3,2,5]=>[2,1,1,4,5]
[1,1,3,5,2]=>[4,1,1,2,5]
[1,1,5,2,3]=>[3,4,1,1,5]
[1,1,5,3,2]=>[4,3,1,1,5]
[1,2,1,3,5]=>[1,1,2,3,5]
[1,2,1,5,3]=>[1,3,2,1,5]
[1,2,3,1,5]=>[2,1,4,1,3]
[1,2,3,5,1]=>[4,2,5,1,1]
[1,2,5,1,3]=>[3,1,5,1,2]
[1,2,5,3,1]=>[4,1,5,2,1]
[1,3,1,2,5]=>[1,1,3,2,4]
[1,3,1,5,2]=>[3,1,2,1,5]
[1,3,2,1,5]=>[1,2,4,1,3]
[1,3,2,5,1]=>[2,4,5,1,1]
[1,3,5,1,2]=>[1,3,5,1,2]
[1,3,5,2,1]=>[1,4,5,2,1]
[1,5,1,2,3]=>[1,2,3,1,4]
[1,5,1,3,2]=>[2,1,3,1,4]
[1,5,2,1,3]=>[1,1,4,2,3]
[1,5,2,3,1]=>[2,1,5,4,1]
[1,5,3,1,2]=>[1,1,5,3,2]
[1,5,3,2,1]=>[1,2,5,4,1]
[2,1,1,3,5]=>[4,2,2,5,1]
[2,1,1,5,3]=>[2,2,3,5,1]
[2,1,3,1,5]=>[2,3,2,4,1]
[2,1,3,5,1]=>[3,5,2,2,1]
[2,1,5,1,3]=>[2,4,2,3,1]
[2,1,5,3,1]=>[2,5,3,2,1]
[2,3,1,1,5]=>[1,3,3,5,2]
[2,3,1,5,1]=>[1,4,3,3,2]
[2,3,5,1,1]=>[1,4,2,4,3]
[2,5,1,1,3]=>[3,3,1,4,2]
[2,5,1,3,1]=>[2,4,1,4,3]
[2,5,3,1,1]=>[3,4,1,3,2]
[3,1,1,2,5]=>[2,2,5,1,4]
[3,1,1,5,2]=>[2,4,5,1,2]
[3,1,2,1,5]=>[5,2,2,1,3]
[3,1,2,5,1]=>[4,2,3,1,2]
[3,1,5,1,2]=>[3,2,4,1,2]
[3,1,5,2,1]=>[5,4,2,1,2]
[3,2,1,1,5]=>[4,2,4,3,1]
[3,2,1,5,1]=>[3,3,5,2,1]
[3,2,5,1,1]=>[4,3,3,2,1]
[3,5,1,1,2]=>[3,1,5,2,3]
[3,5,1,2,1]=>[4,1,4,3,2]
[3,5,2,1,1]=>[5,1,3,2,3]
[5,1,1,2,3]=>[2,1,2,4,5]
[5,1,1,3,2]=>[2,1,4,2,5]
[5,1,2,1,3]=>[3,1,2,2,4]
[5,1,2,3,1]=>[5,1,3,2,2]
[5,1,3,1,2]=>[4,1,2,2,3]
[5,1,3,2,1]=>[5,1,2,3,2]
[5,2,1,1,3]=>[3,2,1,3,5]
[5,2,1,3,1]=>[4,3,1,2,4]
[5,2,3,1,1]=>[4,2,1,3,3]
[5,3,1,1,2]=>[3,2,3,1,5]
[5,3,1,2,1]=>[4,3,2,1,4]
[5,3,2,1,1]=>[4,2,3,1,3]
[1,1,2,4,4]=>[1,1,2,4,4]
[1,1,4,2,4]=>[3,1,1,4,3]
[1,1,4,4,2]=>[3,1,1,3,4]
[1,2,1,4,4]=>[1,2,1,3,3]
[1,2,4,1,4]=>[2,4,1,1,2]
[1,2,4,4,1]=>[2,4,1,2,1]
[1,4,1,2,4]=>[1,4,2,1,4]
[1,4,1,4,2]=>[2,2,1,1,4]
[1,4,2,1,4]=>[1,3,1,2,3]
[1,4,2,4,1]=>[2,2,1,4,1]
[1,4,4,1,2]=>[1,3,1,3,2]
[1,4,4,2,1]=>[1,4,2,4,1]
[2,1,1,4,4]=>[2,2,4,4,1]
[2,1,4,1,4]=>[3,2,2,3,1]
[2,1,4,4,1]=>[3,2,3,2,1]
[2,4,1,1,4]=>[4,1,4,2,2]
[2,4,1,4,1]=>[4,1,2,4,2]
[2,4,4,1,1]=>[2,1,4,4,2]
[4,1,1,2,4]=>[4,4,2,1,1]
[4,1,1,4,2]=>[2,2,1,1,3]
[4,1,2,1,4]=>[2,5,1,2,1]
[4,1,2,4,1]=>[2,3,1,1,2]
[4,1,4,1,2]=>[3,1,1,3,5]
[4,1,4,2,1]=>[4,1,3,1,4]
[4,2,1,1,4]=>[5,2,1,2,1]
[4,2,1,4,1]=>[3,2,1,1,2]
[4,2,4,1,1]=>[4,1,1,3,3]
[4,4,1,1,2]=>[1,3,1,3,5]
[4,4,1,2,1]=>[1,4,1,3,3]
[4,4,2,1,1]=>[1,4,3,1,4]
[1,1,2,4,5]=>[1,1,2,4,5]
[1,1,2,5,4]=>[1,1,4,2,5]
[1,1,4,2,5]=>[3,1,1,4,5]
[1,1,4,5,2]=>[4,1,1,3,5]
[1,1,5,2,4]=>[3,1,4,1,5]
[1,1,5,4,2]=>[4,1,3,1,5]
[1,2,1,4,5]=>[1,2,1,3,5]
[1,2,1,5,4]=>[1,2,3,1,5]
[1,2,4,1,5]=>[2,4,1,1,3]
[1,2,4,5,1]=>[4,5,2,1,1]
[1,2,5,1,4]=>[3,5,1,1,2]
[1,2,5,4,1]=>[4,5,1,2,1]
[1,4,1,2,5]=>[1,3,1,2,4]
[1,4,1,5,2]=>[3,2,1,1,5]
[1,4,2,1,5]=>[1,4,2,1,3]
[1,4,2,5,1]=>[2,5,4,1,1]
[1,4,5,1,2]=>[1,5,3,1,2]
[1,4,5,2,1]=>[1,5,4,2,1]
[1,5,1,2,4]=>[1,3,2,1,4]
[1,5,1,4,2]=>[2,3,1,1,4]
[1,5,2,1,4]=>[1,4,1,2,3]
[1,5,2,4,1]=>[2,5,1,4,1]
[1,5,4,1,2]=>[1,5,1,3,2]
[1,5,4,2,1]=>[1,5,2,4,1]
[2,1,1,4,5]=>[2,4,2,5,1]
[2,1,1,5,4]=>[2,2,4,5,1]
[2,1,4,1,5]=>[3,2,2,4,1]
[2,1,4,5,1]=>[5,3,2,2,1]
[2,1,5,1,4]=>[4,2,2,3,1]
[2,1,5,4,1]=>[5,2,3,2,1]
[2,4,1,1,5]=>[3,1,3,5,2]
[2,4,1,5,1]=>[4,1,2,4,3]
[2,4,5,1,1]=>[4,1,3,3,2]
[2,5,1,1,4]=>[3,3,1,5,2]
[2,5,1,4,1]=>[4,2,1,4,3]
[2,5,4,1,1]=>[4,3,1,3,2]
[4,1,1,2,5]=>[4,2,1,2,5]
[4,1,1,5,2]=>[2,2,1,3,5]
[4,1,2,1,5]=>[2,4,1,2,3]
[4,1,2,5,1]=>[2,5,1,3,2]
[4,1,5,1,2]=>[2,3,1,2,4]
[4,1,5,2,1]=>[3,5,1,2,2]
[4,2,1,1,5]=>[3,3,2,1,4]
[4,2,1,5,1]=>[2,4,3,1,4]
[4,2,5,1,1]=>[3,4,2,1,3]
[4,5,1,1,2]=>[1,3,2,3,5]
[4,5,1,2,1]=>[1,4,2,3,3]
[4,5,2,1,1]=>[1,4,3,2,4]
[5,1,1,2,4]=>[2,1,2,5,4]
[5,1,1,4,2]=>[2,1,4,5,2]
[5,1,2,1,4]=>[3,1,2,4,2]
[5,1,2,4,1]=>[5,1,4,2,2]
[5,1,4,1,2]=>[5,1,2,2,3]
[5,1,4,2,1]=>[4,1,2,3,2]
[5,2,1,1,4]=>[3,2,1,5,3]
[5,2,1,4,1]=>[4,3,1,4,2]
[5,2,4,1,1]=>[5,2,1,3,3]
[5,4,1,1,2]=>[4,3,2,4,1]
[5,4,1,2,1]=>[3,2,3,5,1]
[5,4,2,1,1]=>[4,2,3,3,1]
[1,1,3,3,3]=>[1,1,3,3,3]
[1,3,1,3,3]=>[2,1,1,2,2]
[1,3,3,1,3]=>[2,1,2,1,2]
[1,3,3,3,1]=>[2,1,2,2,1]
[3,1,1,3,3]=>[3,3,1,1,1]
[3,1,3,1,3]=>[3,1,3,1,1]
[3,1,3,3,1]=>[4,1,1,1,4]
[3,3,1,1,3]=>[1,3,3,1,1]
[3,3,1,3,1]=>[1,4,1,1,4]
[3,3,3,1,1]=>[1,1,4,1,4]
[1,1,3,3,4]=>[1,1,3,3,4]
[1,1,3,4,3]=>[1,1,3,4,3]
[1,1,4,3,3]=>[1,3,1,4,4]
[1,3,1,3,4]=>[2,1,2,1,5]
[1,3,1,4,3]=>[4,2,1,1,4]
[1,3,3,1,4]=>[2,1,1,2,3]
[1,3,3,4,1]=>[4,2,1,4,1]
[1,3,4,1,3]=>[2,1,1,3,2]
[1,3,4,3,1]=>[2,1,2,5,1]
[1,4,1,3,3]=>[3,1,1,2,2]
[1,4,3,1,3]=>[4,1,2,1,2]
[1,4,3,3,1]=>[4,1,2,2,1]
[3,1,1,3,4]=>[1,3,3,1,2]
[3,1,1,4,3]=>[1,4,4,2,1]
[3,1,3,1,4]=>[3,3,1,1,4]
[3,1,3,4,1]=>[1,4,1,2,4]
[3,1,4,1,3]=>[2,2,4,1,1]
[3,1,4,3,1]=>[1,3,2,1,3]
[3,3,1,1,4]=>[3,1,3,1,4]
[3,3,1,4,1]=>[3,1,4,1,3]
[3,3,4,1,1]=>[1,1,4,2,4]
[3,4,1,1,3]=>[2,4,2,1,1]
[3,4,1,3,1]=>[3,4,1,1,3]
[3,4,3,1,1]=>[1,2,3,1,3]
[4,1,1,3,3]=>[2,4,1,4,2]
[4,1,3,1,3]=>[4,2,1,4,2]
[4,1,3,3,1]=>[4,4,1,2,2]
[4,3,1,1,3]=>[3,3,2,2,1]
[4,3,1,3,1]=>[4,2,2,4,1]
[4,3,3,1,1]=>[2,4,2,4,1]
[1,1,3,3,5]=>[1,1,3,3,5]
[1,1,3,5,3]=>[1,1,4,3,3]
[1,1,5,3,3]=>[1,3,4,1,4]
[1,3,1,3,5]=>[2,1,1,2,5]
[1,3,1,5,3]=>[4,3,1,1,4]
[1,3,3,1,5]=>[2,1,2,1,3]
[1,3,3,5,1]=>[4,2,4,1,1]
[1,3,5,1,3]=>[2,1,3,1,2]
[1,3,5,3,1]=>[2,1,5,2,1]
[1,5,1,3,3]=>[4,1,1,2,2]
[1,5,3,1,3]=>[3,1,2,1,2]
[1,5,3,3,1]=>[5,1,2,2,1]
[3,1,1,3,5]=>[3,1,3,1,2]
[3,1,1,5,3]=>[4,1,4,2,1]
[3,1,3,1,5]=>[3,3,1,1,5]
[3,1,3,5,1]=>[4,1,1,2,4]
[3,1,5,1,3]=>[2,2,5,1,1]
[3,1,5,3,1]=>[3,1,2,1,3]
[3,3,1,1,5]=>[1,3,3,1,4]
[3,3,1,5,1]=>[1,3,4,1,3]
[3,3,5,1,1]=>[1,1,4,3,4]
[3,5,1,1,3]=>[4,2,2,1,1]
[3,5,1,3,1]=>[4,3,1,1,3]
[3,5,3,1,1]=>[2,1,3,1,3]
[5,1,1,3,3]=>[2,1,4,2,4]
[5,1,3,1,3]=>[4,1,2,2,4]
[5,1,3,3,1]=>[3,1,3,2,2]
[5,3,1,1,3]=>[3,2,3,1,2]
[5,3,1,3,1]=>[3,2,2,1,3]
[5,3,3,1,1]=>[2,2,4,1,4]
[1,1,3,4,4]=>[1,1,3,4,4]
[1,1,4,3,4]=>[1,3,1,4,3]
[1,1,4,4,3]=>[1,3,1,3,4]
[1,3,1,4,4]=>[2,1,1,3,3]
[1,3,4,1,4]=>[4,2,1,1,2]
[1,3,4,4,1]=>[4,2,1,2,1]
[1,4,1,3,4]=>[4,1,2,1,4]
[1,4,1,4,3]=>[2,2,1,1,5]
[1,4,3,1,4]=>[3,1,1,2,3]
[1,4,3,4,1]=>[2,2,1,5,1]
[1,4,4,1,3]=>[3,1,1,3,2]
[1,4,4,3,1]=>[4,1,2,4,1]
[3,1,1,4,4]=>[2,2,3,1,3]
[3,1,4,1,4]=>[2,3,2,1,3]
[3,1,4,4,1]=>[2,3,3,1,2]
[3,4,1,1,4]=>[1,3,3,2,2]
[3,4,1,4,1]=>[1,4,2,2,4]
[3,4,4,1,1]=>[1,2,4,2,4]
[4,1,1,3,4]=>[4,4,3,1,1]
[4,1,1,4,3]=>[2,2,1,3,1]
[4,1,3,1,4]=>[2,3,1,2,1]
[4,1,3,4,1]=>[2,5,1,1,2]
[4,1,4,1,3]=>[3,1,1,5,3]
[4,1,4,3,1]=>[4,1,3,4,1]
[4,3,1,1,4]=>[3,2,1,2,1]
[4,3,1,4,1]=>[5,2,1,1,2]
[4,3,4,1,1]=>[5,1,1,3,3]
[4,4,1,1,3]=>[1,3,1,5,3]
[4,4,1,3,1]=>[1,5,1,3,3]
[4,4,3,1,1]=>[1,4,3,4,1]
[1,1,3,4,5]=>[1,1,3,4,5]
[1,1,3,5,4]=>[1,1,4,3,5]
[1,1,4,3,5]=>[1,3,1,4,5]
[1,1,4,5,3]=>[1,4,1,3,5]
[1,1,5,3,4]=>[1,3,4,1,5]
[1,1,5,4,3]=>[1,4,3,1,5]
[1,3,1,4,5]=>[2,1,1,3,5]
[1,3,1,5,4]=>[2,1,3,1,5]
[1,3,4,1,5]=>[4,2,1,1,3]
[1,3,4,5,1]=>[5,4,2,1,1]
[1,3,5,1,4]=>[5,3,1,1,2]
[1,3,5,4,1]=>[5,4,1,2,1]
[1,4,1,3,5]=>[3,1,1,2,4]
[1,4,1,5,3]=>[2,3,1,1,5]
[1,4,3,1,5]=>[4,1,2,1,3]
[1,4,3,5,1]=>[5,2,4,1,1]
[1,4,5,1,3]=>[5,1,3,1,2]
[1,4,5,3,1]=>[5,1,4,2,1]
[1,5,1,3,4]=>[3,1,2,1,4]
[1,5,1,4,3]=>[3,2,1,1,4]
[1,5,3,1,4]=>[4,1,1,2,3]
[1,5,3,4,1]=>[5,2,1,4,1]
[1,5,4,1,3]=>[5,1,1,3,2]
[1,5,4,3,1]=>[5,1,2,4,1]
[3,1,1,4,5]=>[2,3,2,1,5]
[3,1,1,5,4]=>[3,2,2,1,5]
[3,1,4,1,5]=>[2,2,3,1,4]
[3,1,4,5,1]=>[3,2,5,1,2]
[3,1,5,1,4]=>[2,2,4,1,3]
[3,1,5,4,1]=>[2,3,5,1,2]
[3,4,1,1,5]=>[1,3,3,2,4]
[3,4,1,5,1]=>[1,3,4,2,3]
[3,4,5,1,1]=>[1,2,4,3,4]
[3,5,1,1,4]=>[3,1,3,2,4]
[3,5,1,4,1]=>[3,1,4,2,3]
[3,5,4,1,1]=>[2,1,4,3,4]
[4,1,1,3,5]=>[4,2,1,5,2]
[4,1,1,5,3]=>[2,2,1,5,3]
[4,1,3,1,5]=>[2,5,1,2,3]
[4,1,3,5,1]=>[2,4,1,3,2]
[4,1,5,1,3]=>[2,3,1,4,2]
[4,1,5,3,1]=>[4,5,1,2,2]
[4,3,1,1,5]=>[2,4,3,4,1]
[4,3,1,5,1]=>[3,3,2,4,1]
[4,3,5,1,1]=>[3,4,2,3,1]
[4,5,1,1,3]=>[1,3,2,5,3]
[4,5,1,3,1]=>[1,5,2,3,3]
[4,5,3,1,1]=>[1,4,3,4,2]
[5,1,1,3,4]=>[2,1,5,2,4]
[5,1,1,4,3]=>[2,1,5,4,2]
[5,1,3,1,4]=>[5,1,2,4,2]
[5,1,3,4,1]=>[3,1,4,2,2]
[5,1,4,1,3]=>[5,1,2,2,4]
[5,1,4,3,1]=>[4,1,3,2,2]
[5,3,1,1,4]=>[4,3,4,1,2]
[5,3,1,4,1]=>[3,2,5,1,3]
[5,3,4,1,1]=>[5,2,3,1,3]
[5,4,1,1,3]=>[4,3,4,2,1]
[5,4,1,3,1]=>[3,2,5,3,1]
[5,4,3,1,1]=>[5,2,3,3,1]
[1,2,2,2,2]=>[1,2,2,2,2]
[2,1,2,2,2]=>[5,1,1,1,1]
[2,2,1,2,2]=>[1,5,1,1,1]
[2,2,2,1,2]=>[1,1,5,1,1]
[2,2,2,2,1]=>[1,1,1,5,1]
[1,2,2,2,3]=>[1,2,2,2,3]
[1,2,2,3,2]=>[1,2,2,3,2]
[1,2,3,2,2]=>[1,2,3,2,2]
[1,3,2,2,2]=>[2,1,3,3,3]
[2,1,2,2,3]=>[1,5,1,1,2]
[2,1,2,3,2]=>[1,4,1,2,1]
[2,1,3,2,2]=>[1,4,2,1,1]
[2,2,1,2,3]=>[1,1,5,1,2]
[2,2,1,3,2]=>[1,1,4,2,1]
[2,2,2,1,3]=>[4,1,1,5,1]
[2,2,2,3,1]=>[1,1,1,5,2]
[2,2,3,1,2]=>[4,1,5,1,1]
[2,2,3,2,1]=>[1,1,2,4,1]
[2,3,1,2,2]=>[4,5,1,1,1]
[2,3,2,1,2]=>[1,2,4,1,1]
[2,3,2,2,1]=>[1,2,1,4,1]
[3,1,2,2,2]=>[3,3,3,1,2]
[3,2,1,2,2]=>[5,2,2,2,1]
[3,2,2,1,2]=>[2,5,2,2,1]
[3,2,2,2,1]=>[2,2,5,2,1]
[1,2,2,2,4]=>[1,2,2,2,4]
[1,2,2,4,2]=>[1,2,2,4,2]
[1,2,4,2,2]=>[1,3,2,2,2]
[1,4,2,2,2]=>[2,3,1,3,3]
[2,1,2,2,4]=>[5,1,1,1,2]
[2,1,2,4,2]=>[4,1,1,2,1]
[2,1,4,2,2]=>[4,1,2,1,1]
[2,2,1,2,4]=>[1,1,5,1,3]
[2,2,1,4,2]=>[1,1,4,3,1]
[2,2,2,1,4]=>[1,4,1,5,1]
[2,2,2,4,1]=>[1,1,1,5,3]
[2,2,4,1,2]=>[1,4,5,1,1]
[2,2,4,2,1]=>[1,1,3,4,1]
[2,4,1,2,2]=>[5,4,1,1,1]
[2,4,2,1,2]=>[2,1,4,1,1]
[2,4,2,2,1]=>[2,1,1,4,1]
[4,1,2,2,2]=>[3,3,1,2,3]
[4,2,1,2,2]=>[4,2,2,1,2]
[4,2,2,1,2]=>[2,4,2,1,2]
[4,2,2,2,1]=>[2,2,2,1,5]
[1,2,2,2,5]=>[1,2,2,2,5]
[1,2,2,5,2]=>[1,2,4,2,2]
[1,2,5,2,2]=>[1,4,2,2,2]
[1,5,2,2,2]=>[2,3,3,1,3]
[2,1,2,2,5]=>[5,1,1,1,3]
[2,1,2,5,2]=>[4,1,1,3,1]
[2,1,5,2,2]=>[4,2,1,1,1]
[2,2,1,2,5]=>[1,5,1,1,3]
[2,2,1,5,2]=>[1,4,1,3,1]
[2,2,2,1,5]=>[1,1,4,5,1]
[2,2,2,5,1]=>[1,1,1,5,4]
[2,2,5,1,2]=>[1,5,4,1,1]
[2,2,5,2,1]=>[1,3,1,4,1]
[2,5,1,2,2]=>[2,4,1,1,1]
[2,5,2,1,2]=>[5,1,4,1,1]
[2,5,2,2,1]=>[3,1,1,4,1]
[5,1,2,2,2]=>[3,1,2,3,3]
[5,2,1,2,2]=>[3,2,1,2,2]
[5,2,2,1,2]=>[2,2,1,4,2]
[5,2,2,2,1]=>[2,2,1,2,4]
[1,2,2,3,3]=>[1,2,2,3,3]
[1,2,3,2,3]=>[1,2,3,2,3]
[1,2,3,3,2]=>[1,2,3,3,2]
[1,3,2,2,3]=>[2,1,3,3,2]
[1,3,2,3,2]=>[2,1,3,2,3]
[1,3,3,2,2]=>[2,1,2,3,3]
[2,1,2,3,3]=>[1,5,1,2,2]
[2,1,3,2,3]=>[1,5,2,1,2]
[2,1,3,3,2]=>[1,3,2,2,1]
[2,2,1,3,3]=>[3,1,4,4,1]
[2,2,3,1,3]=>[1,1,5,2,2]
[2,2,3,3,1]=>[1,1,2,5,2]
[2,3,1,2,3]=>[1,2,5,1,2]
[2,3,1,3,2]=>[1,2,3,2,1]
[2,3,2,1,3]=>[3,4,1,4,1]
[2,3,2,3,1]=>[1,2,1,5,2]
[2,3,3,1,2]=>[3,4,4,1,1]
[2,3,3,2,1]=>[1,2,2,3,1]
[3,1,2,2,3]=>[2,3,3,1,1]
[3,1,2,3,2]=>[5,3,1,3,1]
[3,1,3,2,2]=>[5,1,3,3,1]
[3,2,1,2,3]=>[3,2,3,1,1]
[3,2,1,3,2]=>[3,5,1,3,1]
[3,2,2,1,3]=>[3,3,2,1,1]
[3,2,2,3,1]=>[4,4,1,1,3]
[3,2,3,1,2]=>[4,1,4,1,3]
[3,2,3,2,1]=>[3,1,5,3,1]
[3,3,1,2,2]=>[1,4,4,1,3]
[3,3,2,1,2]=>[1,5,3,3,1]
[3,3,2,2,1]=>[1,3,5,3,1]
[1,2,2,3,4]=>[1,2,3,2,5]
[1,2,2,4,3]=>[1,3,2,2,5]
[1,2,3,2,4]=>[1,2,2,3,4]
[1,2,3,4,2]=>[1,3,2,5,2]
[1,2,4,2,3]=>[1,2,2,4,3]
[1,2,4,3,2]=>[1,2,3,5,2]
[1,3,2,2,4]=>[2,1,3,3,4]
[1,3,2,4,2]=>[2,1,3,4,3]
[1,3,4,2,2]=>[3,1,2,4,4]
[1,4,2,2,3]=>[2,3,1,3,4]
[1,4,2,3,2]=>[2,3,1,4,3]
[1,4,3,2,2]=>[3,2,1,4,4]
[2,1,2,3,4]=>[1,2,5,1,4]
[2,1,2,4,3]=>[2,1,5,1,4]
[2,1,3,2,4]=>[1,1,5,2,3]
[2,1,3,4,2]=>[2,1,3,4,1]
[2,1,4,2,3]=>[1,1,4,3,2]
[2,1,4,3,2]=>[1,2,3,4,1]
[2,2,1,3,4]=>[4,3,1,5,1]
[2,2,1,4,3]=>[3,4,1,5,1]
[2,2,3,1,4]=>[1,4,1,5,2]
[2,2,3,4,1]=>[1,2,1,5,4]
[2,2,4,1,3]=>[4,1,1,5,2]
[2,2,4,3,1]=>[2,1,1,5,4]
[2,3,1,2,4]=>[4,1,5,1,2]
[2,3,1,4,2]=>[3,1,5,2,1]
[2,3,2,1,4]=>[1,3,2,5,1]
[2,3,2,4,1]=>[1,1,2,5,3]
[2,3,4,1,2]=>[4,3,5,1,1]
[2,3,4,2,1]=>[2,1,4,3,1]
[2,4,1,2,3]=>[1,4,5,1,2]
[2,4,1,3,2]=>[1,3,5,2,1]
[2,4,2,1,3]=>[3,1,2,5,1]
[2,4,2,3,1]=>[1,1,3,4,2]
[2,4,3,1,2]=>[3,4,5,1,1]
[2,4,3,2,1]=>[1,2,4,3,1]
[3,1,2,2,4]=>[2,4,4,1,3]
[3,1,2,4,2]=>[3,3,4,1,2]
[3,1,4,2,2]=>[3,4,3,1,2]
[3,2,1,2,4]=>[2,5,2,3,1]
[3,2,1,4,2]=>[2,4,3,2,1]
[3,2,2,1,4]=>[2,2,5,3,1]
[3,2,2,4,1]=>[4,2,5,2,1]
[3,2,4,1,2]=>[4,5,2,2,1]
[3,2,4,2,1]=>[2,3,4,2,1]
[3,4,1,2,2]=>[1,4,4,2,3]
[3,4,2,1,2]=>[1,5,3,3,2]
[3,4,2,2,1]=>[1,3,5,3,2]
[4,1,2,2,3]=>[4,4,1,3,2]
[4,1,2,3,2]=>[3,5,1,2,3]
[4,1,3,2,2]=>[5,3,1,2,3]
[4,2,1,2,3]=>[5,2,4,1,2]
[4,2,1,3,2]=>[3,4,2,1,2]
[4,2,2,1,3]=>[2,5,4,1,2]
[4,2,2,3,1]=>[2,5,2,1,4]
[4,2,3,1,2]=>[4,3,2,1,2]
[4,2,3,2,1]=>[5,2,2,1,4]
[4,3,1,2,2]=>[5,3,3,2,1]
[4,3,2,1,2]=>[3,5,3,2,1]
[4,3,2,2,1]=>[4,4,2,3,1]
[1,2,2,3,5]=>[1,2,2,3,5]
[1,2,2,5,3]=>[1,4,2,2,5]
[1,2,3,2,5]=>[1,2,3,2,4]
[1,2,3,5,2]=>[1,3,5,2,2]
[1,2,5,2,3]=>[1,2,4,2,3]
[1,2,5,3,2]=>[1,2,5,3,2]
[1,3,2,2,5]=>[2,1,3,3,5]
[1,3,2,5,2]=>[2,1,4,3,3]
[1,3,5,2,2]=>[3,1,4,2,4]
[1,5,2,2,3]=>[2,3,3,1,4]
[1,5,2,3,2]=>[3,2,4,1,4]
[1,5,3,2,2]=>[2,3,4,1,3]
[2,1,2,3,5]=>[1,5,2,1,4]
[2,1,2,5,3]=>[2,5,1,1,4]
[2,1,3,2,5]=>[1,5,1,2,3]
[2,1,3,5,2]=>[2,3,1,4,1]
[2,1,5,2,3]=>[1,4,1,3,2]
[2,1,5,3,2]=>[1,3,2,4,1]
[2,2,1,3,5]=>[4,1,3,5,1]
[2,2,1,5,3]=>[3,1,4,5,1]
[2,2,3,1,5]=>[1,1,4,5,2]
[2,2,3,5,1]=>[1,1,2,5,4]
[2,2,5,1,3]=>[4,1,1,5,3]
[2,2,5,3,1]=>[3,1,1,5,4]
[2,3,1,2,5]=>[4,5,1,1,2]
[2,3,1,5,2]=>[3,5,1,2,1]
[2,3,2,1,5]=>[1,2,3,5,1]
[2,3,2,5,1]=>[1,2,1,5,3]
[2,3,5,1,2]=>[4,5,3,1,1]
[2,3,5,2,1]=>[2,4,1,3,1]
[2,5,1,2,3]=>[1,5,4,1,2]
[2,5,1,3,2]=>[1,5,3,2,1]
[2,5,2,1,3]=>[3,2,1,5,1]
[2,5,2,3,1]=>[1,3,1,4,2]
[2,5,3,1,2]=>[3,5,4,1,1]
[2,5,3,2,1]=>[1,4,2,3,1]
[3,1,2,2,5]=>[4,2,4,1,3]
[3,1,2,5,2]=>[3,3,5,1,2]
[3,1,5,2,2]=>[4,3,3,1,2]
[3,2,1,2,5]=>[5,2,2,3,1]
[3,2,1,5,2]=>[4,2,3,2,1]
[3,2,2,1,5]=>[2,2,5,4,1]
[3,2,2,5,1]=>[2,4,5,2,1]
[3,2,5,1,2]=>[5,4,2,2,1]
[3,2,5,2,1]=>[3,2,4,2,1]
[3,5,1,2,2]=>[5,1,3,3,2]
[3,5,2,1,2]=>[4,1,4,2,3]
[3,5,2,2,1]=>[3,1,5,3,2]
[5,1,2,2,3]=>[3,1,2,3,5]
[5,1,2,3,2]=>[4,1,3,2,4]
[5,1,3,2,2]=>[4,1,2,3,3]
[5,2,1,2,3]=>[3,2,1,2,4]
[5,2,1,3,2]=>[5,3,1,2,2]
[5,2,2,1,3]=>[2,2,1,4,5]
[5,2,2,3,1]=>[2,4,1,2,5]
[5,2,3,1,2]=>[5,2,1,3,2]
[5,2,3,2,1]=>[4,2,1,2,3]
[5,3,1,2,2]=>[4,3,2,1,3]
[5,3,2,1,2]=>[4,2,3,1,4]
[5,3,2,2,1]=>[3,3,2,1,5]
[1,2,2,4,4]=>[1,2,2,4,4]
[1,2,4,2,4]=>[1,3,2,2,3]
[1,2,4,4,2]=>[1,3,2,3,2]
[1,4,2,2,4]=>[2,3,1,3,2]
[1,4,2,4,2]=>[2,3,1,2,3]
[1,4,4,2,2]=>[2,2,1,3,3]
[2,1,2,4,4]=>[5,1,1,2,2]
[2,1,4,2,4]=>[5,1,2,1,2]
[2,1,4,4,2]=>[3,1,2,2,1]
[2,2,1,4,4]=>[1,3,4,4,1]
[2,2,4,1,4]=>[1,1,5,3,3]
[2,2,4,4,1]=>[1,1,3,5,3]
[2,4,1,2,4]=>[2,1,5,1,2]
[2,4,1,4,2]=>[2,1,3,2,1]
[2,4,2,1,4]=>[4,3,1,4,1]
[2,4,2,4,1]=>[2,1,1,5,2]
[2,4,4,1,2]=>[4,3,4,1,1]
[2,4,4,2,1]=>[2,1,2,3,1]
[4,1,2,2,4]=>[5,2,2,1,1]
[4,1,2,4,2]=>[2,3,1,1,3]
[4,1,4,2,2]=>[4,1,3,1,3]
[4,2,1,2,4]=>[2,5,2,1,1]
[4,2,1,4,2]=>[3,2,1,1,3]
[4,2,2,1,4]=>[4,4,1,2,1]
[4,2,2,4,1]=>[3,3,1,1,2]
[4,2,4,1,2]=>[4,1,1,3,4]
[4,2,4,2,1]=>[3,1,3,1,5]
[4,4,1,2,2]=>[1,4,1,3,4]
[4,4,2,1,2]=>[1,4,3,1,3]
[4,4,2,2,1]=>[1,3,3,1,5]
[1,2,2,4,5]=>[1,2,2,4,5]
[1,2,2,5,4]=>[1,2,4,2,5]
[1,2,4,2,5]=>[1,3,2,2,4]
[1,2,4,5,2]=>[1,5,3,2,2]
[1,2,5,2,4]=>[1,4,2,2,3]
[1,2,5,4,2]=>[1,5,2,3,2]
[1,4,2,2,5]=>[2,3,1,3,5]
[1,4,2,5,2]=>[3,4,1,2,4]
[1,4,5,2,2]=>[2,4,1,3,3]
[1,5,2,2,4]=>[2,3,3,1,5]
[1,5,2,4,2]=>[3,4,2,1,4]
[1,5,4,2,2]=>[2,4,3,1,3]
[2,1,2,4,5]=>[5,1,2,1,4]
[2,1,2,5,4]=>[5,2,1,1,4]
[2,1,4,2,5]=>[5,1,1,2,3]
[2,1,4,5,2]=>[3,2,1,4,1]
[2,1,5,2,4]=>[4,1,1,3,2]
[2,1,5,4,2]=>[3,1,2,4,1]
[2,2,1,4,5]=>[1,4,3,5,1]
[2,2,1,5,4]=>[1,3,4,5,1]
[2,2,4,1,5]=>[1,1,4,5,3]
[2,2,4,5,1]=>[1,1,3,5,4]
[2,2,5,1,4]=>[1,4,1,5,3]
[2,2,5,4,1]=>[1,3,1,5,4]
[2,4,1,2,5]=>[5,4,1,1,2]
[2,4,1,5,2]=>[5,3,1,2,1]
[2,4,2,1,5]=>[2,1,3,5,1]
[2,4,2,5,1]=>[2,1,1,5,3]
[2,4,5,1,2]=>[5,4,3,1,1]
[2,4,5,2,1]=>[4,2,1,3,1]
[2,5,1,2,4]=>[5,1,4,1,2]
[2,5,1,4,2]=>[5,1,3,2,1]
[2,5,2,1,4]=>[2,3,1,5,1]
[2,5,2,4,1]=>[3,1,1,4,2]
[2,5,4,1,2]=>[5,3,4,1,1]
[2,5,4,2,1]=>[4,1,2,3,1]
[4,1,2,2,5]=>[3,3,1,2,4]
[4,1,2,5,2]=>[2,4,1,3,4]
[4,1,5,2,2]=>[3,4,1,2,3]
[4,2,1,2,5]=>[2,4,2,1,3]
[4,2,1,5,2]=>[2,5,3,1,2]
[4,2,2,1,5]=>[4,2,2,1,5]
[4,2,2,5,1]=>[2,2,3,1,5]
[4,2,5,1,2]=>[3,5,2,1,2]
[4,2,5,2,1]=>[2,3,2,1,4]
[4,5,1,2,2]=>[1,4,2,3,4]
[4,5,2,1,2]=>[1,4,3,2,3]
[4,5,2,2,1]=>[1,3,3,2,5]
[5,1,2,2,4]=>[3,1,2,5,3]
[5,1,2,4,2]=>[4,1,3,4,2]
[5,1,4,2,2]=>[5,1,2,3,3]
[5,2,1,2,4]=>[3,2,1,4,2]
[5,2,1,4,2]=>[5,4,1,2,2]
[5,2,2,1,4]=>[2,2,1,5,4]
[5,2,2,4,1]=>[2,4,1,5,2]
[5,2,4,1,2]=>[4,2,1,3,2]
[5,2,4,2,1]=>[5,2,1,2,3]
[5,4,1,2,2]=>[4,3,2,3,1]
[5,4,2,1,2]=>[3,3,2,5,1]
[5,4,2,2,1]=>[4,2,3,4,1]
[1,2,3,3,3]=>[1,2,3,3,3]
[1,3,2,3,3]=>[2,1,3,2,2]
[1,3,3,2,3]=>[2,1,2,3,2]
[1,3,3,3,2]=>[2,1,2,2,3]
[2,1,3,3,3]=>[2,3,3,3,1]
[2,3,1,3,3]=>[1,5,2,2,2]
[2,3,3,1,3]=>[1,2,5,2,2]
[2,3,3,3,1]=>[1,2,2,5,2]
[3,1,2,3,3]=>[3,4,1,1,1]
[3,1,3,2,3]=>[3,1,4,1,1]
[3,1,3,3,2]=>[5,1,1,4,1]
[3,2,1,3,3]=>[4,3,1,1,1]
[3,2,3,1,3]=>[4,1,3,1,1]
[3,2,3,3,1]=>[5,1,1,1,4]
[3,3,1,2,3]=>[1,3,4,1,1]
[3,3,1,3,2]=>[1,5,1,4,1]
[3,3,2,1,3]=>[1,4,3,1,1]
[3,3,2,3,1]=>[1,5,1,1,4]
[3,3,3,1,2]=>[1,1,5,1,4]
[3,3,3,2,1]=>[1,1,5,4,1]
[1,2,3,3,4]=>[1,2,3,3,4]
[1,2,3,4,3]=>[1,2,3,4,3]
[1,2,4,3,3]=>[1,3,2,4,4]
[1,3,2,3,4]=>[2,1,2,3,4]
[1,3,2,4,3]=>[3,1,2,5,2]
[1,3,3,2,4]=>[2,1,3,2,5]
[1,3,3,4,2]=>[3,1,2,2,5]
[1,3,4,2,3]=>[2,1,3,5,2]
[1,3,4,3,2]=>[2,1,2,4,3]
[1,4,2,3,3]=>[2,3,1,4,4]
[1,4,3,2,3]=>[3,2,1,4,3]
[1,4,3,3,2]=>[3,2,1,3,4]
[2,1,3,3,4]=>[3,2,4,4,1]
[2,1,3,4,3]=>[2,3,3,4,1]
[2,1,4,3,3]=>[2,3,4,3,1]
[2,3,1,3,4]=>[1,2,5,2,3]
[2,3,1,4,3]=>[1,2,4,3,2]
[2,3,3,1,4]=>[1,4,2,5,2]
[2,3,3,4,1]=>[1,2,2,5,3]
[2,3,4,1,3]=>[1,4,5,2,2]
[2,3,4,3,1]=>[1,2,3,4,2]
[2,4,1,3,3]=>[3,1,4,4,2]
[2,4,3,1,3]=>[2,1,5,3,3]
[2,4,3,3,1]=>[2,1,3,5,3]
[3,1,2,3,4]=>[1,3,4,1,2]
[3,1,2,4,3]=>[1,4,3,2,1]
[3,1,3,2,4]=>[3,5,1,4,1]
[3,1,3,4,2]=>[1,5,1,4,2]
[3,1,4,2,3]=>[3,2,5,1,1]
[3,1,4,3,2]=>[1,5,2,3,1]
[3,2,1,3,4]=>[1,4,3,1,2]
[3,2,1,4,3]=>[1,3,4,2,1]
[3,2,3,1,4]=>[3,5,1,1,4]
[3,2,3,4,1]=>[1,5,1,2,4]
[3,2,4,1,3]=>[2,3,4,1,1]
[3,2,4,3,1]=>[1,5,2,1,3]
[3,3,1,2,4]=>[3,1,5,1,4]
[3,3,1,4,2]=>[4,1,5,1,3]
[3,3,2,1,4]=>[3,1,5,4,1]
[3,3,2,4,1]=>[4,1,5,3,1]
[3,3,4,1,2]=>[1,1,5,2,4]
[3,3,4,2,1]=>[1,1,5,4,2]
[3,4,1,2,3]=>[2,4,3,1,1]
[3,4,1,3,2]=>[4,5,1,3,1]
[3,4,2,1,3]=>[3,5,2,1,1]
[3,4,2,3,1]=>[4,5,1,1,3]
[3,4,3,1,2]=>[1,2,5,1,3]
[3,4,3,2,1]=>[1,2,5,3,1]
[4,1,2,3,3]=>[5,3,1,3,2]
[4,1,3,2,3]=>[3,5,1,3,2]
[4,1,3,3,2]=>[4,4,1,2,3]
[4,2,1,3,3]=>[5,3,3,1,2]
[4,2,3,1,3]=>[3,5,3,1,2]
[4,2,3,3,1]=>[4,4,2,1,3]
[4,3,1,2,3]=>[3,4,2,2,1]
[4,3,1,3,2]=>[5,2,4,2,1]
[4,3,2,1,3]=>[4,3,2,2,1]
[4,3,2,3,1]=>[5,2,2,4,1]
[4,3,3,1,2]=>[2,5,4,2,1]
[4,3,3,2,1]=>[2,5,2,4,1]
[1,2,3,3,5]=>[1,2,3,3,5]
[1,2,3,5,3]=>[1,2,4,3,3]
[1,2,5,3,3]=>[1,3,4,2,4]
[1,3,2,3,5]=>[2,1,3,2,4]
[1,3,2,5,3]=>[3,1,5,2,2]
[1,3,3,2,5]=>[2,1,2,3,5]
[1,3,3,5,2]=>[4,1,2,2,5]
[1,3,5,2,3]=>[2,1,5,3,2]
[1,3,5,3,2]=>[2,1,4,2,3]
[1,5,2,3,3]=>[3,2,4,1,3]
[1,5,3,2,3]=>[2,3,4,1,4]
[1,5,3,3,2]=>[3,2,3,1,4]
[2,1,3,3,5]=>[3,4,2,4,1]
[2,1,3,5,3]=>[2,3,3,5,1]
[2,1,5,3,3]=>[2,4,3,3,1]
[2,3,1,3,5]=>[1,5,2,2,3]
[2,3,1,5,3]=>[1,4,2,3,2]
[2,3,3,1,5]=>[1,2,4,5,2]
[2,3,3,5,1]=>[1,2,2,5,4]
[2,3,5,1,3]=>[1,5,4,2,2]
[2,3,5,3,1]=>[1,3,2,4,2]
[2,5,1,3,3]=>[2,5,1,3,3]
[2,5,3,1,3]=>[3,4,1,4,2]
[2,5,3,3,1]=>[2,3,1,5,3]
[3,1,2,3,5]=>[3,1,4,1,2]
[3,1,2,5,3]=>[4,1,3,2,1]
[3,1,3,2,5]=>[5,3,1,4,1]
[3,1,3,5,2]=>[5,1,1,4,2]
[3,1,5,2,3]=>[2,3,5,1,1]
[3,1,5,3,2]=>[5,1,2,3,1]
[3,2,1,3,5]=>[4,1,3,1,2]
[3,2,1,5,3]=>[3,1,4,2,1]
[3,2,3,1,5]=>[5,3,1,1,4]
[3,2,3,5,1]=>[5,1,1,2,4]
[3,2,5,1,3]=>[3,2,4,1,1]
[3,2,5,3,1]=>[5,1,2,1,3]
[3,3,1,2,5]=>[1,3,5,1,4]
[3,3,1,5,2]=>[1,4,5,1,3]
[3,3,2,1,5]=>[1,3,5,4,1]
[3,3,2,5,1]=>[1,4,5,3,1]
[3,3,5,1,2]=>[1,1,5,3,4]
[3,3,5,2,1]=>[1,1,5,4,3]
[3,5,1,2,3]=>[4,2,3,1,1]
[3,5,1,3,2]=>[5,4,1,3,1]
[3,5,2,1,3]=>[5,3,2,1,1]
[3,5,2,3,1]=>[5,4,1,1,3]
[3,5,3,1,2]=>[2,1,5,1,3]
[3,5,3,2,1]=>[2,1,5,3,1]
[5,1,2,3,3]=>[4,1,3,2,3]
[5,1,3,2,3]=>[4,1,2,3,4]
[5,1,3,3,2]=>[3,1,3,2,5]
[5,2,1,3,3]=>[4,3,1,2,3]
[5,2,3,1,3]=>[4,2,1,3,4]
[5,2,3,3,1]=>[3,3,1,2,5]
[5,3,1,2,3]=>[5,3,2,1,2]
[5,3,1,3,2]=>[3,2,2,1,4]
[5,3,2,1,3]=>[5,2,3,1,2]
[5,3,2,3,1]=>[4,2,2,1,3]
[5,3,3,1,2]=>[2,2,4,1,5]
[5,3,3,2,1]=>[2,4,2,1,5]
[1,2,3,4,4]=>[1,2,3,4,4]
[1,2,4,3,4]=>[1,3,2,4,3]
[1,2,4,4,3]=>[1,3,2,3,4]
[1,3,2,4,4]=>[2,1,3,4,4]
[1,3,4,2,4]=>[3,1,2,4,3]
[1,3,4,4,2]=>[3,1,2,3,4]
[1,4,2,3,4]=>[3,2,1,5,2]
[1,4,2,4,3]=>[2,2,1,3,4]
[1,4,3,2,4]=>[2,3,1,5,2]
[1,4,3,4,2]=>[2,2,1,4,3]
[1,4,4,2,3]=>[2,3,1,2,5]
[1,4,4,3,2]=>[3,2,1,2,5]
[2,1,3,4,4]=>[3,2,4,3,1]
[2,1,4,3,4]=>[3,2,3,4,1]
[2,1,4,4,3]=>[2,3,4,4,1]
[2,3,1,4,4]=>[1,3,4,4,2]
[2,3,4,1,4]=>[1,2,5,3,3]
[2,3,4,4,1]=>[1,2,3,5,3]
[2,4,1,3,4]=>[2,1,4,3,2]
[2,4,1,4,3]=>[2,1,5,2,3]
[2,4,3,1,4]=>[4,1,5,2,2]
[2,4,3,4,1]=>[2,1,3,4,2]
[2,4,4,1,3]=>[4,1,2,5,2]
[2,4,4,3,1]=>[2,1,2,5,3]
[3,1,2,4,4]=>[2,5,3,1,3]
[3,1,4,2,4]=>[2,3,5,1,3]
[3,1,4,4,2]=>[3,4,4,1,2]
[3,2,1,4,4]=>[2,5,3,3,1]
[3,2,4,1,4]=>[2,3,5,3,1]
[3,2,4,4,1]=>[3,4,4,2,1]
[3,4,1,2,4]=>[1,3,4,2,2]
[3,4,1,4,2]=>[1,5,2,4,2]
[3,4,2,1,4]=>[1,4,3,2,2]
[3,4,2,4,1]=>[1,5,2,2,4]
[3,4,4,1,2]=>[1,2,5,2,4]
[3,4,4,2,1]=>[1,2,5,4,2]
[4,1,2,3,4]=>[5,2,3,1,1]
[4,1,2,4,3]=>[2,5,1,3,1]
[4,1,3,2,4]=>[4,3,2,1,1]
[4,1,3,4,2]=>[2,5,1,1,3]
[4,1,4,2,3]=>[5,1,4,1,3]
[4,1,4,3,2]=>[5,1,4,3,1]
[4,2,1,3,4]=>[2,5,3,1,1]
[4,2,1,4,3]=>[5,2,1,3,1]
[4,2,3,1,4]=>[4,3,1,2,1]
[4,2,3,4,1]=>[3,4,1,1,2]
[4,2,4,1,3]=>[5,1,1,4,3]
[4,2,4,3,1]=>[5,1,3,4,1]
[4,3,1,2,4]=>[3,4,2,1,1]
[4,3,1,4,2]=>[5,2,1,1,3]
[4,3,2,1,4]=>[3,4,1,2,1]
[4,3,2,4,1]=>[4,3,1,1,2]
[4,3,4,1,2]=>[5,1,1,3,4]
[4,3,4,2,1]=>[5,1,3,1,4]
[4,4,1,2,3]=>[1,5,1,4,3]
[4,4,1,3,2]=>[1,5,1,3,4]
[4,4,2,1,3]=>[1,5,4,1,3]
[4,4,2,3,1]=>[1,5,3,1,4]
[4,4,3,1,2]=>[1,5,4,3,1]
[4,4,3,2,1]=>[1,5,3,4,1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[1,2,4,3,5]
[1,2,4,3,5]=>[1,3,2,4,5]
[1,2,4,5,3]=>[1,4,2,3,5]
[1,2,5,3,4]=>[1,3,4,2,5]
[1,2,5,4,3]=>[1,4,3,2,5]
[1,3,2,4,5]=>[2,1,3,4,5]
[1,3,2,5,4]=>[2,1,4,3,5]
[1,3,4,2,5]=>[3,1,2,4,5]
[1,3,4,5,2]=>[4,1,2,3,5]
[1,3,5,2,4]=>[3,1,4,2,5]
[1,3,5,4,2]=>[4,1,3,2,5]
[1,4,2,3,5]=>[2,3,1,4,5]
[1,4,2,5,3]=>[2,4,1,3,5]
[1,4,3,2,5]=>[3,2,1,4,5]
[1,4,3,5,2]=>[4,2,1,3,5]
[1,4,5,2,3]=>[3,4,1,2,5]
[1,4,5,3,2]=>[4,3,1,2,5]
[1,5,2,3,4]=>[2,3,4,1,5]
[1,5,2,4,3]=>[2,4,3,1,5]
[1,5,3,2,4]=>[3,2,4,1,5]
[1,5,3,4,2]=>[4,2,3,1,5]
[1,5,4,2,3]=>[3,4,2,1,5]
[1,5,4,3,2]=>[4,3,2,1,5]
[2,1,3,4,5]=>[4,3,2,5,1]
[2,1,3,5,4]=>[4,2,3,5,1]
[2,1,4,3,5]=>[3,4,2,5,1]
[2,1,4,5,3]=>[2,4,3,5,1]
[2,1,5,3,4]=>[3,2,4,5,1]
[2,1,5,4,3]=>[2,3,4,5,1]
[2,3,1,4,5]=>[1,4,3,5,2]
[2,3,1,5,4]=>[1,3,4,5,2]
[2,3,4,1,5]=>[1,2,4,5,3]
[2,3,4,5,1]=>[1,2,3,5,4]
[2,3,5,1,4]=>[1,4,2,5,3]
[2,3,5,4,1]=>[1,3,2,5,4]
[2,4,1,3,5]=>[4,1,3,5,2]
[2,4,1,5,3]=>[3,1,4,5,2]
[2,4,3,1,5]=>[2,1,4,5,3]
[2,4,3,5,1]=>[2,1,3,5,4]
[2,4,5,1,3]=>[4,1,2,5,3]
[2,4,5,3,1]=>[3,1,2,5,4]
[2,5,1,3,4]=>[4,3,1,5,2]
[2,5,1,4,3]=>[3,4,1,5,2]
[2,5,3,1,4]=>[2,4,1,5,3]
[2,5,3,4,1]=>[2,3,1,5,4]
[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,3,1]=>[3,2,1,5,4]
[3,1,2,4,5]=>[2,3,5,1,4]
[3,1,2,5,4]=>[3,2,5,1,4]
[3,1,4,2,5]=>[4,2,5,1,3]
[3,1,4,5,2]=>[4,3,5,1,2]
[3,1,5,2,4]=>[2,4,5,1,3]
[3,1,5,4,2]=>[3,4,5,1,2]
[3,2,1,4,5]=>[3,2,5,4,1]
[3,2,1,5,4]=>[2,3,5,4,1]
[3,2,4,1,5]=>[4,2,5,3,1]
[3,2,4,5,1]=>[4,3,5,2,1]
[3,2,5,1,4]=>[2,4,5,3,1]
[3,2,5,4,1]=>[3,4,5,2,1]
[3,4,1,2,5]=>[1,3,5,2,4]
[3,4,1,5,2]=>[1,4,5,2,3]
[3,4,2,1,5]=>[1,3,5,4,2]
[3,4,2,5,1]=>[1,4,5,3,2]
[3,4,5,1,2]=>[1,2,5,3,4]
[3,4,5,2,1]=>[1,2,5,4,3]
[3,5,1,2,4]=>[3,1,5,2,4]
[3,5,1,4,2]=>[4,1,5,2,3]
[3,5,2,1,4]=>[3,1,5,4,2]
[3,5,2,4,1]=>[4,1,5,3,2]
[3,5,4,1,2]=>[2,1,5,3,4]
[3,5,4,2,1]=>[2,1,5,4,3]
[4,1,2,3,5]=>[3,5,1,4,2]
[4,1,2,5,3]=>[2,5,1,4,3]
[4,1,3,2,5]=>[3,5,1,2,4]
[4,1,3,5,2]=>[2,5,1,3,4]
[4,1,5,2,3]=>[4,5,1,3,2]
[4,1,5,3,2]=>[4,5,1,2,3]
[4,2,1,3,5]=>[2,5,4,1,3]
[4,2,1,5,3]=>[3,5,4,1,2]
[4,2,3,1,5]=>[3,5,2,1,4]
[4,2,3,5,1]=>[2,5,3,1,4]
[4,2,5,1,3]=>[4,5,3,1,2]
[4,2,5,3,1]=>[4,5,2,1,3]
[4,3,1,2,5]=>[2,5,4,3,1]
[4,3,1,5,2]=>[3,5,4,2,1]
[4,3,2,1,5]=>[2,5,3,4,1]
[4,3,2,5,1]=>[3,5,2,4,1]
[4,3,5,1,2]=>[4,5,3,2,1]
[4,3,5,2,1]=>[4,5,2,3,1]
[4,5,1,2,3]=>[1,5,2,4,3]
[4,5,1,3,2]=>[1,5,2,3,4]
[4,5,2,1,3]=>[1,5,4,2,3]
[4,5,2,3,1]=>[1,5,3,2,4]
[4,5,3,1,2]=>[1,5,4,3,2]
[4,5,3,2,1]=>[1,5,3,4,2]
[5,1,2,3,4]=>[5,1,4,2,3]
[5,1,2,4,3]=>[5,1,4,3,2]
[5,1,3,2,4]=>[5,1,2,4,3]
[5,1,3,4,2]=>[5,1,3,4,2]
[5,1,4,2,3]=>[5,1,2,3,4]
[5,1,4,3,2]=>[5,1,3,2,4]
[5,2,1,3,4]=>[5,4,1,3,2]
[5,2,1,4,3]=>[5,4,1,2,3]
[5,2,3,1,4]=>[5,2,1,4,3]
[5,2,3,4,1]=>[5,3,1,4,2]
[5,2,4,1,3]=>[5,2,1,3,4]
[5,2,4,3,1]=>[5,3,1,2,4]
[5,3,1,2,4]=>[5,4,3,1,2]
[5,3,1,4,2]=>[5,4,2,1,3]
[5,3,2,1,4]=>[5,3,4,1,2]
[5,3,2,4,1]=>[5,2,4,1,3]
[5,3,4,1,2]=>[5,2,3,1,4]
[5,3,4,2,1]=>[5,3,2,1,4]
[5,4,1,2,3]=>[5,4,3,2,1]
[5,4,1,3,2]=>[5,4,2,3,1]
[5,4,2,1,3]=>[5,3,4,2,1]
[5,4,2,3,1]=>[5,2,4,3,1]
[5,4,3,1,2]=>[5,3,2,4,1]
[5,4,3,2,1]=>[5,2,3,4,1]
[1,1,1,1,1,1]=>[1,1,1,1,1,1]
[1,1,1,1,1,2]=>[1,1,1,1,1,2]
[1,1,1,1,2,1]=>[1,1,1,1,2,1]
[1,1,1,2,1,1]=>[1,1,1,2,1,1]
[1,1,2,1,1,1]=>[1,1,2,1,1,1]
[1,2,1,1,1,1]=>[1,2,1,1,1,1]
[2,1,1,1,1,1]=>[2,2,2,2,2,1]
[1,1,1,1,1,3]=>[1,1,1,1,1,3]
[1,1,1,1,3,1]=>[1,1,1,1,3,1]
[1,1,1,3,1,1]=>[1,1,1,3,1,1]
[1,1,3,1,1,1]=>[1,1,3,1,1,1]
[1,3,1,1,1,1]=>[2,1,1,1,1,1]
[3,1,1,1,1,1]=>[2,2,2,2,1,2]
[1,1,1,1,1,4]=>[1,1,1,1,1,4]
[1,1,1,1,4,1]=>[1,1,1,1,4,1]
[1,1,1,4,1,1]=>[1,1,1,4,1,1]
[1,1,4,1,1,1]=>[1,3,1,1,1,1]
[1,4,1,1,1,1]=>[3,1,1,1,1,1]
[4,1,1,1,1,1]=>[2,2,2,1,2,2]
[1,1,1,1,1,5]=>[1,1,1,1,1,5]
[1,1,1,1,5,1]=>[1,1,1,1,5,1]
[1,1,1,5,1,1]=>[1,1,4,1,1,1]
[1,1,5,1,1,1]=>[1,4,1,1,1,1]
[1,5,1,1,1,1]=>[4,1,1,1,1,1]
[5,1,1,1,1,1]=>[2,2,1,2,2,2]
[1,1,1,1,1,6]=>[1,1,1,1,1,6]
[1,1,1,1,6,1]=>[1,1,1,5,1,1]
[1,1,1,6,1,1]=>[1,1,5,1,1,1]
[1,1,6,1,1,1]=>[1,5,1,1,1,1]
[1,6,1,1,1,1]=>[5,1,1,1,1,1]
[6,1,1,1,1,1]=>[2,1,2,2,2,2]
[1,1,1,1,2,2]=>[1,1,1,1,2,2]
[1,1,1,2,1,2]=>[1,1,1,2,1,2]
[1,1,1,2,2,1]=>[1,1,1,2,2,1]
[1,1,2,1,1,2]=>[1,1,2,1,1,2]
[1,1,2,1,2,1]=>[1,1,2,1,2,1]
[1,1,2,2,1,1]=>[1,1,2,2,1,1]
[1,2,1,1,1,2]=>[1,2,1,1,1,2]
[1,2,1,1,2,1]=>[1,2,1,1,2,1]
[1,2,1,2,1,1]=>[1,2,1,2,1,1]
[1,2,2,1,1,1]=>[1,2,2,1,1,1]
[2,1,1,1,1,2]=>[3,3,3,3,1,1]
[2,1,1,1,2,1]=>[3,3,3,1,3,1]
[2,1,1,2,1,1]=>[3,3,1,3,3,1]
[2,1,2,1,1,1]=>[3,1,3,3,3,1]
[2,2,1,1,1,1]=>[1,3,3,3,3,1]
[1,1,1,1,2,3]=>[1,2,1,1,1,6]
[1,1,1,1,3,2]=>[2,1,1,1,1,6]
[1,1,1,2,1,3]=>[1,1,1,1,2,3]
[1,1,1,2,3,1]=>[2,1,1,1,6,1]
[1,1,1,3,1,2]=>[1,1,1,1,3,2]
[1,1,1,3,2,1]=>[1,2,1,1,6,1]
[1,1,2,1,1,3]=>[1,1,1,2,1,3]
[1,1,2,1,3,1]=>[1,1,1,2,3,1]
[1,1,2,3,1,1]=>[2,1,1,6,1,1]
[1,1,3,1,1,2]=>[1,1,1,3,1,2]
[1,1,3,1,2,1]=>[1,1,1,3,2,1]
[1,1,3,2,1,1]=>[1,2,1,6,1,1]
[1,2,1,1,1,3]=>[1,1,2,1,1,3]
[1,2,1,1,3,1]=>[1,1,2,1,3,1]
[1,2,1,3,1,1]=>[1,1,2,3,1,1]
[1,2,3,1,1,1]=>[2,1,6,1,1,1]
[1,3,1,1,1,2]=>[1,1,3,1,1,2]
[1,3,1,1,2,1]=>[1,1,3,1,2,1]
[1,3,1,2,1,1]=>[1,1,3,2,1,1]
[1,3,2,1,1,1]=>[1,2,6,1,1,1]
[2,1,1,1,1,3]=>[2,2,2,2,3,1]
[2,1,1,1,3,1]=>[2,2,2,3,2,1]
[2,1,1,3,1,1]=>[2,2,3,2,2,1]
[2,1,3,1,1,1]=>[2,3,2,2,2,1]
[2,3,1,1,1,1]=>[1,3,3,3,3,2]
[3,1,1,1,1,2]=>[2,2,2,6,1,2]
[3,1,1,1,2,1]=>[2,2,6,2,1,2]
[3,1,1,2,1,1]=>[2,6,2,2,1,2]
[3,1,2,1,1,1]=>[6,2,2,2,1,2]
[3,2,1,1,1,1]=>[3,3,3,3,2,1]
[1,1,1,1,2,4]=>[1,1,2,1,1,6]
[1,1,1,1,4,2]=>[3,1,1,1,1,6]
[1,1,1,2,1,4]=>[1,1,1,1,2,4]
[1,1,1,2,4,1]=>[3,1,1,1,6,1]
[1,1,1,4,1,2]=>[1,1,1,1,4,2]
[1,1,1,4,2,1]=>[1,1,2,1,6,1]
[1,1,2,1,1,4]=>[1,1,1,2,1,4]
[1,1,2,1,4,1]=>[1,1,1,2,4,1]
[1,1,2,4,1,1]=>[3,1,1,6,1,1]
[1,1,4,1,1,2]=>[1,1,1,4,1,2]
[1,1,4,1,2,1]=>[1,1,1,4,2,1]
[1,1,4,2,1,1]=>[1,1,2,6,1,1]
[1,2,1,1,1,4]=>[1,2,1,1,1,3]
[1,2,1,1,4,1]=>[1,2,1,1,3,1]
[1,2,1,4,1,1]=>[1,2,1,3,1,1]
[1,2,4,1,1,1]=>[2,6,1,1,1,1]
[1,4,1,1,1,2]=>[1,3,1,1,1,2]
[1,4,1,1,2,1]=>[1,3,1,1,2,1]
[1,4,1,2,1,1]=>[1,3,1,2,1,1]
[1,4,2,1,1,1]=>[1,6,2,1,1,1]
[2,1,1,1,1,4]=>[2,2,2,2,4,1]
[2,1,1,1,4,1]=>[2,2,2,4,2,1]
[2,1,1,4,1,1]=>[2,2,4,2,2,1]
[2,1,4,1,1,1]=>[3,2,2,2,2,1]
[2,4,1,1,1,1]=>[3,1,3,3,3,2]
[4,1,1,1,1,2]=>[2,2,2,1,2,6]
[4,1,1,1,2,1]=>[2,2,5,1,2,2]
[4,1,1,2,1,1]=>[2,5,2,1,2,2]
[4,1,2,1,1,1]=>[5,2,2,1,2,2]
[4,2,1,1,1,1]=>[3,3,3,2,1,3]
[1,1,1,1,2,5]=>[1,1,1,2,1,6]
[1,1,1,1,5,2]=>[4,1,1,1,1,6]
[1,1,1,2,1,5]=>[1,1,1,1,2,5]
[1,1,1,2,5,1]=>[4,1,1,1,6,1]
[1,1,1,5,1,2]=>[1,1,1,1,5,2]
[1,1,1,5,2,1]=>[1,1,1,2,6,1]
[1,1,2,1,1,5]=>[1,1,2,1,1,4]
[1,1,2,1,5,1]=>[1,1,2,1,4,1]
[1,1,2,5,1,1]=>[3,1,6,1,1,1]
[1,1,5,1,1,2]=>[1,1,4,1,1,2]
[1,1,5,1,2,1]=>[1,1,4,1,2,1]
[1,1,5,2,1,1]=>[1,1,6,2,1,1]
[1,2,1,1,1,5]=>[1,2,1,1,1,4]
[1,2,1,1,5,1]=>[1,2,1,1,4,1]
[1,2,1,5,1,1]=>[1,2,3,1,1,1]
[1,2,5,1,1,1]=>[3,6,1,1,1,1]
[1,5,1,1,1,2]=>[1,4,1,1,1,2]
[1,5,1,1,2,1]=>[1,4,1,1,2,1]
[1,5,1,2,1,1]=>[1,6,1,2,1,1]
[1,5,2,1,1,1]=>[1,3,2,1,1,1]
[2,1,1,1,1,5]=>[2,2,2,2,5,1]
[2,1,1,1,5,1]=>[2,2,2,5,2,1]
[2,1,1,5,1,1]=>[2,4,2,2,2,1]
[2,1,5,1,1,1]=>[4,2,2,2,2,1]
[2,5,1,1,1,1]=>[3,3,1,3,3,2]
[5,1,1,1,1,2]=>[2,2,1,2,2,5]
[5,1,1,1,2,1]=>[2,2,1,2,5,2]
[5,1,1,2,1,1]=>[2,4,1,2,2,2]
[5,1,2,1,1,1]=>[4,2,1,2,2,2]
[5,2,1,1,1,1]=>[3,3,2,1,3,3]
[1,1,1,1,2,6]=>[1,1,1,1,2,6]
[1,1,1,1,6,2]=>[5,1,1,1,1,6]
[1,1,1,2,1,6]=>[1,1,1,2,1,5]
[1,1,1,2,6,1]=>[4,1,1,6,1,1]
[1,1,1,6,1,2]=>[1,1,1,5,1,2]
[1,1,1,6,2,1]=>[1,1,1,6,2,1]
[1,1,2,1,1,6]=>[1,1,2,1,1,5]
[1,1,2,1,6,1]=>[1,1,2,4,1,1]
[1,1,2,6,1,1]=>[4,1,6,1,1,1]
[1,1,6,1,1,2]=>[1,1,5,1,1,2]
[1,1,6,1,2,1]=>[1,1,6,1,2,1]
[1,1,6,2,1,1]=>[1,1,4,2,1,1]
[1,2,1,1,1,6]=>[1,2,1,1,1,5]
[1,2,1,1,6,1]=>[1,2,1,4,1,1]
[1,2,1,6,1,1]=>[1,2,4,1,1,1]
[1,2,6,1,1,1]=>[4,6,1,1,1,1]
[1,6,1,1,1,2]=>[1,5,1,1,1,2]
[1,6,1,1,2,1]=>[1,6,1,1,2,1]
[1,6,1,2,1,1]=>[1,4,1,2,1,1]
[1,6,2,1,1,1]=>[1,4,2,1,1,1]
[2,1,1,1,1,6]=>[2,2,2,2,6,1]
[2,1,1,1,6,1]=>[2,2,5,2,2,1]
[2,1,1,6,1,1]=>[2,5,2,2,2,1]
[2,1,6,1,1,1]=>[5,2,2,2,2,1]
[2,6,1,1,1,1]=>[3,3,3,1,3,2]
[6,1,1,1,1,2]=>[2,1,2,2,2,4]
[6,1,1,1,2,1]=>[2,1,2,2,4,2]
[6,1,1,2,1,1]=>[2,1,2,4,2,2]
[6,1,2,1,1,1]=>[3,1,2,2,2,2]
[6,2,1,1,1,1]=>[3,2,1,3,3,3]
[1,1,1,1,3,3]=>[1,1,1,1,3,3]
[1,1,1,3,1,3]=>[1,1,1,3,1,3]
[1,1,1,3,3,1]=>[1,1,1,3,3,1]
[1,1,3,1,1,3]=>[1,1,3,1,1,3]
[1,1,3,1,3,1]=>[1,1,3,1,3,1]
[1,1,3,3,1,1]=>[1,1,3,3,1,1]
[1,3,1,1,1,3]=>[2,1,1,1,1,2]
[1,3,1,1,3,1]=>[2,1,1,1,2,1]
[1,3,1,3,1,1]=>[2,1,1,2,1,1]
[1,3,3,1,1,1]=>[2,1,2,1,1,1]
[3,1,1,1,1,3]=>[2,2,2,2,1,1]
[3,1,1,1,3,1]=>[3,3,3,1,1,3]
[3,1,1,3,1,1]=>[3,3,1,3,1,3]
[3,1,3,1,1,1]=>[3,1,3,3,1,3]
[3,3,1,1,1,1]=>[1,3,3,3,1,3]
[1,1,1,1,3,4]=>[1,1,3,1,1,6]
[1,1,1,1,4,3]=>[1,3,1,1,1,6]
[1,1,1,3,1,4]=>[1,1,1,1,3,4]
[1,1,1,3,4,1]=>[1,3,1,1,6,1]
[1,1,1,4,1,3]=>[1,1,1,1,4,3]
[1,1,1,4,3,1]=>[1,1,3,1,6,1]
[1,1,3,1,1,4]=>[1,1,1,3,1,4]
[1,1,3,1,4,1]=>[1,1,1,3,4,1]
[1,1,3,4,1,1]=>[1,3,1,6,1,1]
[1,1,4,1,1,3]=>[1,1,1,4,1,3]
[1,1,4,1,3,1]=>[1,1,1,4,3,1]
[1,1,4,3,1,1]=>[1,1,3,6,1,1]
[1,3,1,1,1,4]=>[2,1,1,1,1,3]
[1,3,1,1,4,1]=>[2,1,1,1,3,1]
[1,3,1,4,1,1]=>[2,1,1,3,1,1]
[1,3,4,1,1,1]=>[6,2,1,1,1,1]
[1,4,1,1,1,3]=>[3,1,1,1,1,2]
[1,4,1,1,3,1]=>[3,1,1,1,2,1]
[1,4,1,3,1,1]=>[3,1,1,2,1,1]
[1,4,3,1,1,1]=>[6,1,2,1,1,1]
[3,1,1,1,1,4]=>[2,2,2,2,1,3]
[3,1,1,1,4,1]=>[2,2,2,3,1,2]
[3,1,1,4,1,1]=>[2,2,3,2,1,2]
[3,1,4,1,1,1]=>[2,3,2,2,1,2]
[3,4,1,1,1,1]=>[1,3,3,3,2,3]
[4,1,1,1,1,3]=>[2,2,2,1,6,2]
[4,1,1,1,3,1]=>[2,2,6,1,2,2]
[4,1,1,3,1,1]=>[2,6,2,1,2,2]
[4,1,3,1,1,1]=>[6,2,2,1,2,2]
[4,3,1,1,1,1]=>[3,3,3,2,3,1]
[1,1,1,1,3,5]=>[1,1,1,3,1,6]
[1,1,1,1,5,3]=>[1,4,1,1,1,6]
[1,1,1,3,1,5]=>[1,1,1,1,3,5]
[1,1,1,3,5,1]=>[1,4,1,1,6,1]
[1,1,1,5,1,3]=>[1,1,1,1,5,3]
[1,1,1,5,3,1]=>[1,1,1,3,6,1]
[1,1,3,1,1,5]=>[1,1,3,1,1,4]
[1,1,3,1,5,1]=>[1,1,3,1,4,1]
[1,1,3,5,1,1]=>[1,3,6,1,1,1]
[1,1,5,1,1,3]=>[1,1,4,1,1,3]
[1,1,5,1,3,1]=>[1,1,4,1,3,1]
[1,1,5,3,1,1]=>[1,1,6,3,1,1]
[1,3,1,1,1,5]=>[2,1,1,1,1,4]
[1,3,1,1,5,1]=>[2,1,1,1,4,1]
[1,3,1,5,1,1]=>[2,1,3,1,1,1]
[1,3,5,1,1,1]=>[6,3,1,1,1,1]
[1,5,1,1,1,3]=>[4,1,1,1,1,2]
[1,5,1,1,3,1]=>[4,1,1,1,2,1]
[1,5,1,3,1,1]=>[6,1,1,2,1,1]
[1,5,3,1,1,1]=>[3,1,2,1,1,1]
[3,1,1,1,1,5]=>[2,2,2,2,1,4]
[3,1,1,1,5,1]=>[2,2,2,4,1,2]
[3,1,1,5,1,1]=>[2,2,4,2,1,2]
[3,1,5,1,1,1]=>[3,2,2,2,1,2]
[3,5,1,1,1,1]=>[3,1,3,3,2,3]
[5,1,1,1,1,3]=>[2,2,1,2,2,6]
[5,1,1,1,3,1]=>[2,2,1,5,2,2]
[5,1,1,3,1,1]=>[2,5,1,2,2,2]
[5,1,3,1,1,1]=>[5,2,1,2,2,2]
[5,3,1,1,1,1]=>[3,3,2,3,1,3]
[1,1,1,1,3,6]=>[1,1,1,1,3,6]
[1,1,1,1,6,3]=>[1,5,1,1,1,6]
[1,1,1,3,1,6]=>[1,1,1,3,1,5]
[1,1,1,3,6,1]=>[1,4,1,6,1,1]
[1,1,1,6,1,3]=>[1,1,1,5,1,3]
[1,1,1,6,3,1]=>[1,1,1,6,3,1]
[1,1,3,1,1,6]=>[1,1,3,1,1,5]
[1,1,3,1,6,1]=>[1,1,3,4,1,1]
[1,1,3,6,1,1]=>[1,4,6,1,1,1]
[1,1,6,1,1,3]=>[1,1,5,1,1,3]
[1,1,6,1,3,1]=>[1,1,6,1,3,1]
[1,1,6,3,1,1]=>[1,1,4,3,1,1]
[1,3,1,1,1,6]=>[2,1,1,1,1,5]
[1,3,1,1,6,1]=>[2,1,1,4,1,1]
[1,3,1,6,1,1]=>[2,1,4,1,1,1]
[1,3,6,1,1,1]=>[6,4,1,1,1,1]
[1,6,1,1,1,3]=>[5,1,1,1,1,2]
[1,6,1,1,3,1]=>[6,1,1,1,2,1]
[1,6,1,3,1,1]=>[4,1,1,2,1,1]
[1,6,3,1,1,1]=>[4,1,2,1,1,1]
[3,1,1,1,1,6]=>[2,2,2,2,1,5]
[3,1,1,1,6,1]=>[2,2,2,5,1,2]
[3,1,1,6,1,1]=>[2,4,2,2,1,2]
[3,1,6,1,1,1]=>[4,2,2,2,1,2]
[3,6,1,1,1,1]=>[3,3,1,3,2,3]
[6,1,1,1,1,3]=>[2,1,2,2,2,5]
[6,1,1,1,3,1]=>[2,1,2,2,5,2]
[6,1,1,3,1,1]=>[2,1,4,2,2,2]
[6,1,3,1,1,1]=>[4,1,2,2,2,2]
[6,3,1,1,1,1]=>[3,2,3,1,3,3]
[1,1,1,1,4,4]=>[1,1,1,1,4,4]
[1,1,1,4,1,4]=>[1,1,1,4,1,4]
[1,1,1,4,4,1]=>[1,1,1,4,4,1]
[1,1,4,1,1,4]=>[1,3,1,1,1,3]
[1,1,4,1,4,1]=>[1,3,1,1,3,1]
[1,1,4,4,1,1]=>[1,3,1,3,1,1]
[1,4,1,1,1,4]=>[3,1,1,1,1,3]
[1,4,1,1,4,1]=>[3,1,1,1,3,1]
[1,4,1,4,1,1]=>[3,1,1,3,1,1]
[1,4,4,1,1,1]=>[2,2,1,1,1,1]
[4,1,1,1,1,4]=>[2,2,2,1,2,1]
[4,1,1,1,4,1]=>[2,2,2,1,1,2]
[4,1,1,4,1,1]=>[3,3,1,1,3,3]
[4,1,4,1,1,1]=>[3,1,3,1,3,3]
[4,4,1,1,1,1]=>[1,3,3,1,3,3]
[1,1,1,1,4,5]=>[1,1,1,4,1,6]
[1,1,1,1,5,4]=>[1,1,4,1,1,6]
[1,1,1,4,1,5]=>[1,1,1,1,4,5]
[1,1,1,4,5,1]=>[1,1,4,1,6,1]
[1,1,1,5,1,4]=>[1,1,1,1,5,4]
[1,1,1,5,4,1]=>[1,1,1,4,6,1]
[1,1,4,1,1,5]=>[1,3,1,1,1,4]
[1,1,4,1,5,1]=>[1,3,1,1,4,1]
[1,1,4,5,1,1]=>[1,6,3,1,1,1]
[1,1,5,1,1,4]=>[1,4,1,1,1,3]
[1,1,5,1,4,1]=>[1,4,1,1,3,1]
[1,1,5,4,1,1]=>[1,6,1,3,1,1]
[1,4,1,1,1,5]=>[3,1,1,1,1,4]
[1,4,1,1,5,1]=>[3,1,1,1,4,1]
[1,4,1,5,1,1]=>[6,1,3,1,1,1]
[1,4,5,1,1,1]=>[2,3,1,1,1,1]
[1,5,1,1,1,4]=>[4,1,1,1,1,3]
[1,5,1,1,4,1]=>[4,1,1,1,3,1]
[1,5,1,4,1,1]=>[6,1,1,3,1,1]
[1,5,4,1,1,1]=>[3,2,1,1,1,1]
[4,1,1,1,1,5]=>[2,2,2,1,2,3]
[4,1,1,1,5,1]=>[2,2,2,1,3,2]
[4,1,1,5,1,1]=>[2,2,3,1,2,2]
[4,1,5,1,1,1]=>[2,3,2,1,2,2]
[4,5,1,1,1,1]=>[1,3,3,2,3,3]
[5,1,1,1,1,4]=>[2,2,1,2,6,2]
[5,1,1,1,4,1]=>[2,2,1,6,2,2]
[5,1,1,4,1,1]=>[2,6,1,2,2,2]
[5,1,4,1,1,1]=>[6,2,1,2,2,2]
[5,4,1,1,1,1]=>[3,3,2,3,3,1]
[1,1,1,1,4,6]=>[1,1,1,1,4,6]
[1,1,1,1,6,4]=>[1,1,5,1,1,6]
[1,1,1,4,1,6]=>[1,1,1,4,1,5]
[1,1,1,4,6,1]=>[1,1,4,6,1,1]
[1,1,1,6,1,4]=>[1,1,1,5,1,4]
[1,1,1,6,4,1]=>[1,1,1,6,4,1]
[1,1,4,1,1,6]=>[1,3,1,1,1,5]
[1,1,4,1,6,1]=>[1,3,1,4,1,1]
[1,1,4,6,1,1]=>[1,6,4,1,1,1]
[1,1,6,1,1,4]=>[1,5,1,1,1,3]
[1,1,6,1,4,1]=>[1,6,1,1,3,1]
[1,1,6,4,1,1]=>[1,4,1,3,1,1]
[1,4,1,1,1,6]=>[3,1,1,1,1,5]
[1,4,1,1,6,1]=>[3,1,1,4,1,1]
[1,4,1,6,1,1]=>[6,1,4,1,1,1]
[1,4,6,1,1,1]=>[2,4,1,1,1,1]
[1,6,1,1,1,4]=>[5,1,1,1,1,3]
[1,6,1,1,4,1]=>[6,1,1,1,3,1]
[1,6,1,4,1,1]=>[4,1,1,3,1,1]
[1,6,4,1,1,1]=>[4,2,1,1,1,1]
[4,1,1,1,1,6]=>[2,2,2,1,2,4]
[4,1,1,1,6,1]=>[2,2,2,1,4,2]
[4,1,1,6,1,1]=>[2,2,4,1,2,2]
[4,1,6,1,1,1]=>[3,2,2,1,2,2]
[4,6,1,1,1,1]=>[3,1,3,2,3,3]
[6,1,1,1,1,4]=>[2,1,2,2,2,6]
[6,1,1,1,4,1]=>[2,1,2,5,2,2]
[6,1,1,4,1,1]=>[2,1,5,2,2,2]
[6,1,4,1,1,1]=>[5,1,2,2,2,2]
[6,4,1,1,1,1]=>[3,2,3,3,1,3]
[1,1,1,1,5,5]=>[1,1,1,1,5,5]
[1,1,1,5,1,5]=>[1,1,4,1,1,4]
[1,1,1,5,5,1]=>[1,1,4,1,4,1]
[1,1,5,1,1,5]=>[1,4,1,1,1,4]
[1,1,5,1,5,1]=>[1,4,1,1,4,1]
[1,1,5,5,1,1]=>[1,3,3,1,1,1]
[1,5,1,1,1,5]=>[4,1,1,1,1,4]
[1,5,1,1,5,1]=>[4,1,1,1,4,1]
[1,5,1,5,1,1]=>[3,1,3,1,1,1]
[1,5,5,1,1,1]=>[3,3,1,1,1,1]
[5,1,1,1,1,5]=>[2,2,1,2,2,1]
[5,1,1,1,5,1]=>[2,2,1,2,1,2]
[5,1,1,5,1,1]=>[2,2,1,1,2,2]
[5,1,5,1,1,1]=>[3,1,1,3,3,3]
[5,5,1,1,1,1]=>[1,3,1,3,3,3]
[1,1,1,1,5,6]=>[1,1,1,1,5,6]
[1,1,1,1,6,5]=>[1,1,1,5,1,6]
[1,1,1,5,1,6]=>[1,1,4,1,1,5]
[1,1,1,5,6,1]=>[1,1,6,4,1,1]
[1,1,1,6,1,5]=>[1,1,5,1,1,4]
[1,1,1,6,5,1]=>[1,1,6,1,4,1]
[1,1,5,1,1,6]=>[1,4,1,1,1,5]
[1,1,5,1,6,1]=>[1,6,1,4,1,1]
[1,1,5,6,1,1]=>[1,3,4,1,1,1]
[1,1,6,1,1,5]=>[1,5,1,1,1,4]
[1,1,6,1,5,1]=>[1,6,1,1,4,1]
[1,1,6,5,1,1]=>[1,4,3,1,1,1]
[1,5,1,1,1,6]=>[4,1,1,1,1,5]
[1,5,1,1,6,1]=>[6,1,1,4,1,1]
[1,5,1,6,1,1]=>[3,1,4,1,1,1]
[1,5,6,1,1,1]=>[3,4,1,1,1,1]
[1,6,1,1,1,5]=>[5,1,1,1,1,4]
[1,6,1,1,5,1]=>[6,1,1,1,4,1]
[1,6,1,5,1,1]=>[4,1,3,1,1,1]
[1,6,5,1,1,1]=>[4,3,1,1,1,1]
[5,1,1,1,1,6]=>[2,2,1,2,2,3]
[5,1,1,1,6,1]=>[2,2,1,2,3,2]
[5,1,1,6,1,1]=>[2,2,1,3,2,2]
[5,1,6,1,1,1]=>[2,3,1,2,2,2]
[5,6,1,1,1,1]=>[1,3,2,3,3,3]
[6,1,1,1,1,5]=>[2,1,2,2,6,2]
[6,1,1,1,5,1]=>[2,1,2,6,2,2]
[6,1,1,5,1,1]=>[2,1,6,2,2,2]
[6,1,5,1,1,1]=>[6,1,2,2,2,2]
[6,5,1,1,1,1]=>[3,2,3,3,3,1]
[1,1,1,2,2,2]=>[1,1,1,2,2,2]
[1,1,2,1,2,2]=>[1,1,2,1,2,2]
[1,1,2,2,1,2]=>[1,1,2,2,1,2]
[1,1,2,2,2,1]=>[1,1,2,2,2,1]
[1,2,1,1,2,2]=>[1,2,1,1,2,2]
[1,2,1,2,1,2]=>[1,2,1,2,1,2]
[1,2,1,2,2,1]=>[1,2,1,2,2,1]
[1,2,2,1,1,2]=>[1,2,2,1,1,2]
[1,2,2,1,2,1]=>[1,2,2,1,2,1]
[1,2,2,2,1,1]=>[1,2,2,2,1,1]
[2,1,1,1,2,2]=>[4,4,4,1,1,1]
[2,1,1,2,1,2]=>[4,4,1,4,1,1]
[2,1,1,2,2,1]=>[4,4,1,1,4,1]
[2,1,2,1,1,2]=>[4,1,4,4,1,1]
[2,1,2,1,2,1]=>[4,1,4,1,4,1]
[2,1,2,2,1,1]=>[4,1,1,4,4,1]
[2,2,1,1,1,2]=>[1,4,4,4,1,1]
[2,2,1,1,2,1]=>[1,4,4,1,4,1]
[2,2,1,2,1,1]=>[1,4,1,4,4,1]
[2,2,2,1,1,1]=>[1,1,4,4,4,1]
[1,1,1,2,2,3]=>[1,2,1,1,2,5]
[1,1,1,2,3,2]=>[1,2,1,1,5,2]
[1,1,1,3,2,2]=>[2,1,1,1,5,5]
[1,1,2,1,2,3]=>[1,2,1,2,1,5]
[1,1,2,1,3,2]=>[2,1,1,5,1,5]
[1,1,2,2,1,3]=>[1,1,1,2,2,3]
[1,1,2,2,3,1]=>[2,1,1,5,5,1]
[1,1,2,3,1,2]=>[1,1,1,2,3,2]
[1,1,2,3,2,1]=>[1,2,1,2,5,1]
[1,1,3,1,2,2]=>[1,1,1,3,2,2]
[1,1,3,2,1,2]=>[1,2,1,5,1,2]
[1,1,3,2,2,1]=>[1,2,1,5,2,1]
[1,2,1,1,2,3]=>[1,2,2,1,1,5]
[1,2,1,1,3,2]=>[2,1,5,1,1,5]
[1,2,1,2,1,3]=>[1,1,2,1,2,3]
[1,2,1,2,3,1]=>[2,1,5,1,5,1]
[1,2,1,3,1,2]=>[1,1,2,1,3,2]
[1,2,1,3,2,1]=>[1,2,2,1,5,1]
[1,2,2,1,1,3]=>[1,1,2,2,1,3]
[1,2,2,1,3,1]=>[1,1,2,2,3,1]
[1,2,2,3,1,1]=>[2,1,5,5,1,1]
[1,2,3,1,1,2]=>[1,1,2,3,1,2]
[1,2,3,1,2,1]=>[1,1,2,3,2,1]
[1,2,3,2,1,1]=>[1,2,2,5,1,1]
[1,3,1,1,2,2]=>[1,1,3,1,2,2]
[1,3,1,2,1,2]=>[1,1,3,2,1,2]
[1,3,1,2,2,1]=>[1,1,3,2,2,1]
[1,3,2,1,1,2]=>[1,2,5,1,1,2]
[1,3,2,1,2,1]=>[1,2,5,1,2,1]
[1,3,2,2,1,1]=>[1,2,5,2,1,1]
[2,1,1,1,2,3]=>[1,4,4,4,1,2]
[2,1,1,1,3,2]=>[1,3,3,3,2,1]
[2,1,1,2,1,3]=>[3,3,3,1,4,1]
[2,1,1,2,3,1]=>[1,4,4,1,4,2]
[2,1,1,3,1,2]=>[3,3,3,4,1,1]
[2,1,1,3,2,1]=>[1,3,3,2,3,1]
[2,1,2,1,1,3]=>[3,3,1,3,4,1]
[2,1,2,1,3,1]=>[3,3,1,4,3,1]
[2,1,2,3,1,1]=>[1,4,1,4,4,2]
[2,1,3,1,1,2]=>[3,3,4,3,1,1]
[2,1,3,1,2,1]=>[3,3,4,1,3,1]
[2,1,3,2,1,1]=>[1,3,2,3,3,1]
[2,2,1,1,1,3]=>[3,1,3,3,4,1]
[2,2,1,1,3,1]=>[3,1,3,4,3,1]
[2,2,1,3,1,1]=>[3,1,4,3,3,1]
[2,2,3,1,1,1]=>[1,1,4,4,4,2]
[2,3,1,1,1,2]=>[3,4,3,3,1,1]
[2,3,1,1,2,1]=>[3,4,3,1,3,1]
[2,3,1,2,1,1]=>[3,4,1,3,3,1]
[2,3,2,1,1,1]=>[1,2,3,3,3,1]
[3,1,1,1,2,2]=>[2,2,5,5,1,2]
[3,1,1,2,1,2]=>[2,5,2,5,1,2]
[3,1,1,2,2,1]=>[2,5,5,2,1,2]
[3,1,2,1,1,2]=>[5,2,2,5,1,2]
[3,1,2,1,2,1]=>[5,2,5,2,1,2]
[3,1,2,2,1,1]=>[5,5,2,2,1,2]
[3,2,1,1,1,2]=>[4,4,4,2,2,1]
[3,2,1,1,2,1]=>[4,4,2,4,2,1]
[3,2,1,2,1,1]=>[4,2,4,4,2,1]
[3,2,2,1,1,1]=>[2,4,4,4,2,1]
[1,1,1,2,2,4]=>[1,1,2,1,2,5]
[1,1,1,2,4,2]=>[1,1,2,1,5,2]
[1,1,1,4,2,2]=>[3,1,1,1,5,5]
[1,1,2,1,2,4]=>[1,1,2,2,1,5]
[1,1,2,1,4,2]=>[3,1,1,5,1,5]
[1,1,2,2,1,4]=>[1,1,1,2,2,4]
[1,1,2,2,4,1]=>[3,1,1,5,5,1]
[1,1,2,4,1,2]=>[1,1,1,2,4,2]
[1,1,2,4,2,1]=>[1,1,2,2,5,1]
[1,1,4,1,2,2]=>[1,1,1,4,2,2]
[1,1,4,2,1,2]=>[1,1,2,5,1,2]
[1,1,4,2,2,1]=>[1,1,2,5,2,1]
[1,2,1,1,2,4]=>[1,2,2,1,1,6]
[1,2,1,1,4,2]=>[2,5,1,1,1,5]
[1,2,1,2,1,4]=>[1,2,1,1,2,3]
[1,2,1,2,4,1]=>[2,5,1,1,5,1]
[1,2,1,4,1,2]=>[1,2,1,1,3,2]
[1,2,1,4,2,1]=>[1,2,2,1,6,1]
[1,2,2,1,1,4]=>[1,2,1,2,1,3]
[1,2,2,1,4,1]=>[1,2,1,2,3,1]
[1,2,2,4,1,1]=>[2,5,1,5,1,1]
[1,2,4,1,1,2]=>[1,2,1,3,1,2]
[1,2,4,1,2,1]=>[1,2,1,3,2,1]
[1,2,4,2,1,1]=>[1,2,2,6,1,1]
[1,4,1,1,2,2]=>[1,3,1,1,2,2]
[1,4,1,2,1,2]=>[1,3,1,2,1,2]
[1,4,1,2,2,1]=>[1,3,1,2,2,1]
[1,4,2,1,1,2]=>[1,5,2,1,1,2]
[1,4,2,1,2,1]=>[1,5,2,1,2,1]
[1,4,2,2,1,1]=>[1,5,2,2,1,1]
[2,1,1,1,2,4]=>[4,1,4,4,1,2]
[2,1,1,1,4,2]=>[3,1,3,3,2,1]
[2,1,1,2,1,4]=>[3,3,3,1,5,1]
[2,1,1,2,4,1]=>[4,1,4,1,4,2]
[2,1,1,4,1,2]=>[3,3,3,5,1,1]
[2,1,1,4,2,1]=>[3,1,3,2,3,1]
[2,1,2,1,1,4]=>[3,3,1,3,5,1]
[2,1,2,1,4,1]=>[3,3,1,5,3,1]
[2,1,2,4,1,1]=>[4,1,1,4,4,2]
[2,1,4,1,1,2]=>[3,3,5,3,1,1]
[2,1,4,1,2,1]=>[3,3,5,1,3,1]
[2,1,4,2,1,1]=>[3,1,2,3,3,1]
[2,2,1,1,1,4]=>[1,3,3,3,4,1]
[2,2,1,1,4,1]=>[1,3,3,4,3,1]
[2,2,1,4,1,1]=>[1,3,4,3,3,1]
[2,2,4,1,1,1]=>[1,1,4,4,4,3]
[2,4,1,1,1,2]=>[4,3,3,3,1,1]
[2,4,1,1,2,1]=>[4,3,3,1,3,1]
[2,4,1,2,1,1]=>[4,3,1,3,3,1]
[2,4,2,1,1,1]=>[2,1,3,3,3,1]
[4,1,1,1,2,2]=>[2,2,5,1,2,5]
[4,1,1,2,1,2]=>[2,5,2,1,2,5]
[4,1,1,2,2,1]=>[2,4,4,1,2,2]
[4,1,2,1,1,2]=>[5,2,2,1,2,5]
[4,1,2,1,2,1]=>[4,2,4,1,2,2]
[4,1,2,2,1,1]=>[4,4,2,1,2,2]
[4,2,1,1,1,2]=>[3,3,3,2,1,2]
[4,2,1,1,2,1]=>[4,4,2,2,1,4]
[4,2,1,2,1,1]=>[4,2,4,2,1,4]
[4,2,2,1,1,1]=>[2,4,4,2,1,4]
[1,1,1,2,2,5]=>[1,1,1,2,2,5]
[1,1,1,2,5,2]=>[1,1,1,2,5,2]
[1,1,1,5,2,2]=>[4,1,1,1,5,5]
[1,1,2,1,2,5]=>[1,1,2,2,1,6]
[1,1,2,1,5,2]=>[3,1,5,1,1,5]
[1,1,2,2,1,5]=>[1,1,2,1,2,4]
[1,1,2,2,5,1]=>[3,1,5,1,5,1]
[1,1,2,5,1,2]=>[1,1,2,1,4,2]
[1,1,2,5,2,1]=>[1,1,2,2,6,1]
[1,1,5,1,2,2]=>[1,1,4,1,2,2]
[1,1,5,2,1,2]=>[1,1,5,2,1,2]
[1,1,5,2,2,1]=>[1,1,5,2,2,1]
[1,2,1,1,2,5]=>[1,2,1,2,1,6]
[1,2,1,1,5,2]=>[3,5,1,1,1,5]
[1,2,1,2,1,5]=>[1,2,1,1,2,4]
[1,2,1,2,5,1]=>[3,5,1,1,5,1]
[1,2,1,5,1,2]=>[1,2,1,1,4,2]
[1,2,1,5,2,1]=>[1,2,1,2,6,1]
[1,2,2,1,1,5]=>[1,2,2,1,1,3]
[1,2,2,1,5,1]=>[1,2,2,1,3,1]
[1,2,2,5,1,1]=>[2,5,5,1,1,1]
[1,2,5,1,1,2]=>[1,2,3,1,1,2]
[1,2,5,1,2,1]=>[1,2,3,1,2,1]
[1,2,5,2,1,1]=>[1,2,6,2,1,1]
[1,5,1,1,2,2]=>[1,4,1,1,2,2]
[1,5,1,2,1,2]=>[1,5,1,2,1,2]
[1,5,1,2,2,1]=>[1,5,1,2,2,1]
[1,5,2,1,1,2]=>[1,3,2,1,1,2]
[1,5,2,1,2,1]=>[1,3,2,1,2,1]
[1,5,2,2,1,1]=>[1,6,2,2,1,1]
[2,1,1,1,2,5]=>[4,4,1,4,1,2]
[2,1,1,1,5,2]=>[3,3,1,3,2,1]
[2,1,1,2,1,5]=>[3,3,3,1,6,1]
[2,1,1,2,5,1]=>[4,4,1,1,4,2]
[2,1,1,5,1,2]=>[3,3,3,6,1,1]
[2,1,1,5,2,1]=>[3,3,1,2,3,1]
[2,1,2,1,1,5]=>[3,1,3,3,5,1]
[2,1,2,1,5,1]=>[3,1,3,5,3,1]
[2,1,2,5,1,1]=>[4,1,1,4,4,3]
[2,1,5,1,1,2]=>[3,5,3,3,1,1]
[2,1,5,1,2,1]=>[3,5,3,1,3,1]
[2,1,5,2,1,1]=>[3,2,1,3,3,1]
[2,2,1,1,1,5]=>[1,3,3,3,5,1]
[2,2,1,1,5,1]=>[1,3,3,5,3,1]
[2,2,1,5,1,1]=>[1,4,3,3,3,1]
[2,2,5,1,1,1]=>[1,4,1,4,4,3]
[2,5,1,1,1,2]=>[5,3,3,3,1,1]
[2,5,1,1,2,1]=>[5,3,3,1,3,1]
[2,5,1,2,1,1]=>[2,3,1,3,3,1]
[2,5,2,1,1,1]=>[4,1,3,3,3,1]
[5,1,1,1,2,2]=>[2,2,1,2,5,5]
[5,1,1,2,1,2]=>[2,4,1,2,2,4]
[5,1,1,2,2,1]=>[2,4,1,2,4,2]
[5,1,2,1,1,2]=>[4,2,1,2,2,4]
[5,1,2,1,2,1]=>[4,2,1,2,4,2]
[5,1,2,2,1,1]=>[3,3,1,2,2,2]
[5,2,1,1,1,2]=>[3,3,2,1,3,2]
[5,2,1,1,2,1]=>[3,3,2,1,2,3]
[5,2,1,2,1,1]=>[4,2,2,1,4,4]
[5,2,2,1,1,1]=>[2,4,2,1,4,4]
[1,1,1,2,2,6]=>[1,1,1,2,2,6]
[1,1,1,2,6,2]=>[1,1,1,5,2,2]
[1,1,1,6,2,2]=>[4,1,1,5,1,5]
[1,1,2,1,2,6]=>[1,1,2,1,2,6]
[1,1,2,1,6,2]=>[4,1,5,1,1,5]
[1,1,2,2,1,6]=>[1,1,2,2,1,4]
[1,1,2,2,6,1]=>[3,1,5,5,1,1]
[1,1,2,6,1,2]=>[1,1,2,4,1,2]
[1,1,2,6,2,1]=>[1,1,2,6,2,1]
[1,1,6,1,2,2]=>[1,1,5,1,2,2]
[1,1,6,2,1,2]=>[1,1,4,2,1,2]
[1,1,6,2,2,1]=>[1,1,6,2,2,1]
[1,2,1,1,2,6]=>[1,2,1,1,2,6]
[1,2,1,1,6,2]=>[4,5,1,1,1,5]
[1,2,1,2,1,6]=>[1,2,1,2,1,4]
[1,2,1,2,6,1]=>[3,5,1,5,1,1]
[1,2,1,6,1,2]=>[1,2,1,4,1,2]
[1,2,1,6,2,1]=>[1,2,1,6,2,1]
[1,2,2,1,1,6]=>[1,2,2,1,1,4]
[1,2,2,1,6,1]=>[1,2,2,3,1,1]
[1,2,2,6,1,1]=>[3,5,5,1,1,1]
[1,2,6,1,1,2]=>[1,2,4,1,1,2]
[1,2,6,1,2,1]=>[1,2,6,1,2,1]
[1,2,6,2,1,1]=>[1,2,3,2,1,1]
[1,6,1,1,2,2]=>[1,5,1,1,2,2]
[1,6,1,2,1,2]=>[1,4,1,2,1,2]
[1,6,1,2,2,1]=>[1,6,1,2,2,1]
[1,6,2,1,1,2]=>[1,4,2,1,1,2]
[1,6,2,1,2,1]=>[1,6,2,1,2,1]
[1,6,2,2,1,1]=>[1,3,2,2,1,1]
[2,1,1,1,2,6]=>[4,4,4,1,1,2]
[2,1,1,1,6,2]=>[3,3,3,1,2,1]
[2,1,1,2,1,6]=>[3,3,1,3,6,1]
[2,1,1,2,6,1]=>[4,4,1,1,4,3]
[2,1,1,6,1,2]=>[3,3,6,3,1,1]
[2,1,1,6,2,1]=>[3,3,2,1,3,1]
[2,1,2,1,1,6]=>[3,1,3,3,6,1]
[2,1,2,1,6,1]=>[3,1,5,3,3,1]
[2,1,2,6,1,1]=>[4,1,4,1,4,3]
[2,1,6,1,1,2]=>[3,6,3,3,1,1]
[2,1,6,1,2,1]=>[3,2,3,1,3,1]
[2,1,6,2,1,1]=>[3,5,1,3,3,1]
[2,2,1,1,1,6]=>[1,3,3,3,6,1]
[2,2,1,1,6,1]=>[1,3,5,3,3,1]
[2,2,1,6,1,1]=>[1,5,3,3,3,1]
[2,2,6,1,1,1]=>[1,4,4,1,4,3]
[2,6,1,1,1,2]=>[6,3,3,3,1,1]
[2,6,1,1,2,1]=>[2,3,3,1,3,1]
[2,6,1,2,1,1]=>[5,3,1,3,3,1]
[2,6,2,1,1,1]=>[5,1,3,3,3,1]
[6,1,1,1,2,2]=>[2,1,2,2,4,4]
[6,1,1,2,1,2]=>[2,1,2,4,2,4]
[6,1,1,2,2,1]=>[2,1,2,4,4,2]
[6,1,2,1,1,2]=>[3,1,2,2,2,3]
[6,1,2,1,2,1]=>[3,1,2,2,3,2]
[6,1,2,2,1,1]=>[3,1,2,3,2,2]
[6,2,1,1,1,2]=>[3,2,1,3,3,2]
[6,2,1,1,2,1]=>[3,2,1,3,2,3]
[6,2,1,2,1,1]=>[3,2,1,2,3,3]
[6,2,2,1,1,1]=>[2,2,1,4,4,4]
[1,1,1,2,3,3]=>[1,2,1,1,5,5]
[1,1,1,3,2,3]=>[2,1,1,1,5,2]
[1,1,1,3,3,2]=>[2,1,1,1,2,5]
[1,1,2,1,3,3]=>[1,1,1,2,3,3]
[1,1,2,3,1,3]=>[2,1,1,5,1,2]
[1,1,2,3,3,1]=>[2,1,1,5,2,1]
[1,1,3,1,2,3]=>[1,2,1,5,1,5]
[1,1,3,1,3,2]=>[2,1,1,2,1,5]
[1,1,3,2,1,3]=>[1,1,1,3,2,3]
[1,1,3,2,3,1]=>[2,1,1,2,5,1]
[1,1,3,3,1,2]=>[1,1,1,3,3,2]
[1,1,3,3,2,1]=>[1,2,1,5,5,1]
[1,2,1,1,3,3]=>[1,1,2,1,3,3]
[1,2,1,3,1,3]=>[1,1,2,3,1,3]
[1,2,1,3,3,1]=>[1,1,2,3,3,1]
[1,2,3,1,1,3]=>[2,1,5,1,1,2]
[1,2,3,1,3,1]=>[2,1,5,1,2,1]
[1,2,3,3,1,1]=>[2,1,5,2,1,1]
[1,3,1,1,2,3]=>[1,2,5,1,1,5]
[1,3,1,1,3,2]=>[2,1,2,1,1,5]
[1,3,1,2,1,3]=>[1,1,3,1,2,3]
[1,3,1,2,3,1]=>[2,1,2,1,5,1]
[1,3,1,3,1,2]=>[1,1,3,1,3,2]
[1,3,1,3,2,1]=>[1,2,5,1,5,1]
[1,3,2,1,1,3]=>[1,1,3,2,1,3]
[1,3,2,1,3,1]=>[1,1,3,2,3,1]
[1,3,2,3,1,1]=>[2,1,2,5,1,1]
[1,3,3,1,1,2]=>[1,1,3,3,1,2]
[1,3,3,1,2,1]=>[1,1,3,3,2,1]
[1,3,3,2,1,1]=>[1,2,5,5,1,1]
[2,1,1,1,3,3]=>[2,2,2,3,3,1]
[2,1,1,3,1,3]=>[2,2,3,2,3,1]
[2,1,1,3,3,1]=>[2,2,3,3,2,1]
[2,1,3,1,1,3]=>[2,3,2,2,3,1]
[2,1,3,1,3,1]=>[2,3,2,3,2,1]
[2,1,3,3,1,1]=>[2,3,3,2,2,1]
[2,3,1,1,1,3]=>[1,4,4,4,2,2]
[2,3,1,1,3,1]=>[1,4,4,2,4,2]
[2,3,1,3,1,1]=>[1,4,2,4,4,2]
[2,3,3,1,1,1]=>[1,2,4,4,4,2]
[3,1,1,1,2,3]=>[2,2,2,3,1,1]
[3,1,1,1,3,2]=>[4,4,4,1,3,1]
[3,1,1,2,1,3]=>[2,2,3,2,1,1]
[3,1,1,2,3,1]=>[3,3,6,1,1,3]
[3,1,1,3,1,2]=>[3,3,1,6,1,3]
[3,1,1,3,2,1]=>[4,4,1,4,3,1]
[3,1,2,1,1,3]=>[2,3,2,2,1,1]
[3,1,2,1,3,1]=>[3,6,3,1,1,3]
[3,1,2,3,1,1]=>[3,6,1,3,1,3]
[3,1,3,1,1,2]=>[3,1,3,6,1,3]
[3,1,3,1,2,1]=>[3,1,6,3,1,3]
[3,1,3,2,1,1]=>[4,1,4,4,3,1]
[3,2,1,1,1,3]=>[3,2,2,2,1,1]
[3,2,1,1,3,1]=>[6,3,3,1,1,3]
[3,2,1,3,1,1]=>[6,3,1,3,1,3]
[3,2,3,1,1,1]=>[6,1,3,3,1,3]
[3,3,1,1,1,2]=>[1,3,3,6,1,3]
[3,3,1,1,2,1]=>[1,3,6,3,1,3]
[3,3,1,2,1,1]=>[1,6,3,3,1,3]
[3,3,2,1,1,1]=>[1,4,4,4,3,1]
[1,1,1,2,3,4]=>[1,2,5,1,1,6]
[1,1,1,2,4,3]=>[1,5,2,1,1,6]
[1,1,1,3,2,4]=>[2,1,5,1,1,6]
[1,1,1,3,4,2]=>[5,1,2,1,1,6]
[1,1,1,4,2,3]=>[2,5,1,1,1,6]
[1,1,1,4,3,2]=>[5,2,1,1,1,6]
[1,1,2,1,3,4]=>[1,1,3,1,2,6]
[1,1,2,1,4,3]=>[1,3,1,1,2,6]
[1,1,2,3,1,4]=>[2,1,1,1,5,3]
[1,1,2,3,4,1]=>[5,2,1,1,6,1]
[1,1,2,4,1,3]=>[3,1,1,1,6,2]
[1,1,2,4,3,1]=>[5,1,2,1,6,1]
[1,1,3,1,2,4]=>[1,1,2,1,3,5]
[1,1,3,1,4,2]=>[3,1,1,1,2,6]
[1,1,3,2,1,4]=>[1,2,1,1,5,3]
[1,1,3,2,4,1]=>[2,5,1,1,6,1]
[1,1,3,4,1,2]=>[1,3,1,1,6,2]
[1,1,3,4,2,1]=>[1,5,2,1,6,1]
[1,1,4,1,2,3]=>[1,2,1,1,3,5]
[1,1,4,1,3,2]=>[2,1,1,1,3,5]
[1,1,4,2,1,3]=>[1,1,2,1,5,3]
[1,1,4,2,3,1]=>[2,1,5,1,6,1]
[1,1,4,3,1,2]=>[1,1,3,1,6,2]
[1,1,4,3,2,1]=>[1,2,5,1,6,1]
[1,2,1,1,3,4]=>[1,1,3,2,1,6]
[1,2,1,1,4,3]=>[1,3,1,2,1,6]
[1,2,1,3,1,4]=>[1,1,1,2,3,4]
[1,2,1,3,4,1]=>[1,3,1,2,6,1]
[1,2,1,4,1,3]=>[1,1,1,2,4,3]
[1,2,1,4,3,1]=>[1,1,3,2,6,1]
[1,2,3,1,1,4]=>[2,1,1,5,1,3]
[1,2,3,1,4,1]=>[2,1,1,5,3,1]
[1,2,3,4,1,1]=>[5,2,1,6,1,1]
[1,2,4,1,1,3]=>[3,1,1,6,1,2]
[1,2,4,1,3,1]=>[3,1,1,6,2,1]
[1,2,4,3,1,1]=>[5,1,2,6,1,1]
[1,3,1,1,2,4]=>[1,1,2,3,1,5]
[1,3,1,1,4,2]=>[3,1,1,2,1,6]
[1,3,1,2,1,4]=>[1,1,1,3,2,4]
[1,3,1,2,4,1]=>[3,1,1,2,6,1]
[1,3,1,4,1,2]=>[1,1,1,3,4,2]
[1,3,1,4,2,1]=>[1,1,2,3,5,1]
[1,3,2,1,1,4]=>[1,2,1,5,1,3]
[1,3,2,1,4,1]=>[1,2,1,5,3,1]
[1,3,2,4,1,1]=>[2,5,1,6,1,1]
[1,3,4,1,1,2]=>[1,3,1,6,1,2]
[1,3,4,1,2,1]=>[1,3,1,6,2,1]
[1,3,4,2,1,1]=>[1,5,2,6,1,1]
[1,4,1,1,2,3]=>[1,2,1,3,1,5]
[1,4,1,1,3,2]=>[2,1,1,3,1,5]
[1,4,1,2,1,3]=>[1,1,1,4,2,3]
[1,4,1,2,3,1]=>[2,1,1,3,5,1]
[1,4,1,3,1,2]=>[1,1,1,4,3,2]
[1,4,1,3,2,1]=>[1,2,1,3,5,1]
[1,4,2,1,1,3]=>[1,1,2,5,1,3]
[1,4,2,1,3,1]=>[1,1,2,5,3,1]
[1,4,2,3,1,1]=>[2,1,5,6,1,1]
[1,4,3,1,1,2]=>[1,1,3,6,1,2]
[1,4,3,1,2,1]=>[1,1,3,6,2,1]
[1,4,3,2,1,1]=>[1,2,5,6,1,1]
[2,1,1,1,3,4]=>[3,2,2,2,6,1]
[2,1,1,1,4,3]=>[2,3,2,2,6,1]
[2,1,1,3,1,4]=>[2,2,2,3,4,1]
[2,1,1,3,4,1]=>[3,2,2,6,2,1]
[2,1,1,4,1,3]=>[2,2,2,4,3,1]
[2,1,1,4,3,1]=>[2,3,2,6,2,1]
[2,1,3,1,1,4]=>[2,2,3,2,4,1]
[2,1,3,1,4,1]=>[2,2,3,4,2,1]
[2,1,3,4,1,1]=>[3,2,6,2,2,1]
[2,1,4,1,1,3]=>[2,2,4,2,3,1]
[2,1,4,1,3,1]=>[2,2,4,3,2,1]
[2,1,4,3,1,1]=>[2,3,6,2,2,1]
[2,3,1,1,1,4]=>[1,3,3,3,4,2]
[2,3,1,1,4,1]=>[1,3,3,4,3,2]
[2,3,1,4,1,1]=>[1,3,4,3,3,2]
[2,3,4,1,1,1]=>[1,2,4,4,4,3]
[2,4,1,1,1,3]=>[3,1,3,3,4,2]
[2,4,1,1,3,1]=>[3,1,3,4,3,2]
[2,4,1,3,1,1]=>[3,1,4,3,3,2]
[2,4,3,1,1,1]=>[2,1,4,4,4,3]
[3,1,1,1,2,4]=>[2,2,2,6,1,3]
[3,1,1,1,4,2]=>[5,2,2,6,1,2]
[3,1,1,2,1,4]=>[2,2,6,2,1,3]
[3,1,1,2,4,1]=>[2,2,5,3,1,2]
[3,1,1,4,1,2]=>[2,2,3,5,1,2]
[3,1,1,4,2,1]=>[5,2,6,2,1,2]
[3,1,2,1,1,4]=>[2,6,2,2,1,3]
[3,1,2,1,4,1]=>[2,5,2,3,1,2]
[3,1,2,4,1,1]=>[2,5,3,2,1,2]
[3,1,4,1,1,2]=>[2,3,2,5,1,2]
[3,1,4,1,2,1]=>[2,3,5,2,1,2]
[3,1,4,2,1,1]=>[5,6,2,2,1,2]
[3,2,1,1,1,4]=>[2,4,4,4,3,1]
[3,2,1,1,4,1]=>[3,3,3,4,2,1]
[3,2,1,4,1,1]=>[3,3,4,3,2,1]
[3,2,4,1,1,1]=>[3,4,3,3,2,1]
[3,4,1,1,1,2]=>[1,3,3,6,2,3]
[3,4,1,1,2,1]=>[1,3,6,3,2,3]
[3,4,1,2,1,1]=>[1,6,3,3,2,3]
[3,4,2,1,1,1]=>[1,4,4,4,3,2]
[4,1,1,1,2,3]=>[2,2,6,1,5,2]
[4,1,1,1,3,2]=>[2,2,6,1,2,5]
[4,1,1,2,1,3]=>[2,6,2,1,5,2]
[4,1,1,2,3,1]=>[2,4,5,1,2,2]
[4,1,1,3,1,2]=>[2,6,2,1,2,5]
[4,1,1,3,2,1]=>[2,5,4,1,2,2]
[4,1,2,1,1,3]=>[6,2,2,1,5,2]
[4,1,2,1,3,1]=>[4,2,5,1,2,2]
[4,1,2,3,1,1]=>[4,5,2,1,2,2]
[4,1,3,1,1,2]=>[6,2,2,1,2,5]
[4,1,3,1,2,1]=>[5,2,4,1,2,2]
[4,1,3,2,1,1]=>[5,4,2,1,2,2]
[4,2,1,1,1,3]=>[4,4,4,3,1,2]
[4,2,1,1,3,1]=>[3,3,6,2,1,3]
[4,2,1,3,1,1]=>[3,6,3,2,1,3]
[4,2,3,1,1,1]=>[6,3,3,2,1,3]
[4,3,1,1,1,2]=>[4,4,4,3,2,1]
[4,3,1,1,2,1]=>[3,3,6,2,3,1]
[4,3,1,2,1,1]=>[3,6,3,2,3,1]
[4,3,2,1,1,1]=>[6,3,3,2,3,1]
[1,1,1,2,3,5]=>[1,2,1,5,1,6]
[1,1,1,2,5,3]=>[1,5,1,2,1,6]
[1,1,1,3,2,5]=>[2,1,1,5,1,6]
[1,1,1,3,5,2]=>[5,1,1,2,1,6]
[1,1,1,5,2,3]=>[3,5,1,1,1,6]
[1,1,1,5,3,2]=>[5,3,1,1,1,6]
[1,1,2,1,3,5]=>[1,1,1,3,2,6]
[1,1,2,1,5,3]=>[1,4,1,1,2,6]
[1,1,2,3,1,5]=>[2,1,1,1,5,4]
[1,1,2,3,5,1]=>[5,3,1,1,6,1]
[1,1,2,5,1,3]=>[4,1,1,1,6,2]
[1,1,2,5,3,1]=>[5,1,1,2,6,1]
[1,1,3,1,2,5]=>[1,1,1,2,3,5]
[1,1,3,1,5,2]=>[4,1,1,1,2,6]
[1,1,3,2,1,5]=>[1,2,1,1,5,4]
[1,1,3,2,5,1]=>[3,5,1,1,6,1]
[1,1,3,5,1,2]=>[1,4,1,1,6,2]
[1,1,3,5,2,1]=>[1,5,1,2,6,1]
[1,1,5,1,2,3]=>[1,2,1,1,4,5]
[1,1,5,1,3,2]=>[2,1,1,1,4,5]
[1,1,5,2,1,3]=>[1,1,1,2,5,3]
[1,1,5,2,3,1]=>[2,1,1,5,6,1]
[1,1,5,3,1,2]=>[1,1,1,3,6,2]
[1,1,5,3,2,1]=>[1,2,1,5,6,1]
[1,2,1,1,3,5]=>[1,1,2,3,1,6]
[1,2,1,1,5,3]=>[1,3,2,1,1,6]
[1,2,1,3,1,5]=>[1,1,2,1,3,4]
[1,2,1,3,5,1]=>[1,3,2,1,6,1]
[1,2,1,5,1,3]=>[1,1,2,1,4,3]
[1,2,1,5,3,1]=>[1,1,2,3,6,1]
[1,2,3,1,1,5]=>[2,1,5,1,1,3]
[1,2,3,1,5,1]=>[2,1,5,1,3,1]
[1,2,3,5,1,1]=>[5,2,6,1,1,1]
[1,2,5,1,1,3]=>[3,1,6,1,1,2]
[1,2,5,1,3,1]=>[3,1,6,1,2,1]
[1,2,5,3,1,1]=>[5,1,6,2,1,1]
[1,3,1,1,2,5]=>[1,1,3,2,1,5]
[1,3,1,1,5,2]=>[3,1,2,1,1,6]
[1,3,1,2,1,5]=>[1,1,3,1,2,4]
[1,3,1,2,5,1]=>[3,1,2,1,6,1]
[1,3,1,5,1,2]=>[1,1,3,1,4,2]
[1,3,1,5,2,1]=>[1,1,3,2,5,1]
[1,3,2,1,1,5]=>[1,2,5,1,1,3]
[1,3,2,1,5,1]=>[1,2,5,1,3,1]
[1,3,2,5,1,1]=>[2,5,6,1,1,1]
[1,3,5,1,1,2]=>[1,3,6,1,1,2]
[1,3,5,1,2,1]=>[1,3,6,1,2,1]
[1,3,5,2,1,1]=>[1,5,6,2,1,1]
[1,5,1,1,2,3]=>[1,2,3,1,1,5]
[1,5,1,1,3,2]=>[2,1,3,1,1,5]
[1,5,1,2,1,3]=>[1,1,4,1,2,3]
[1,5,1,2,3,1]=>[2,1,3,1,5,1]
[1,5,1,3,1,2]=>[1,1,4,1,3,2]
[1,5,1,3,2,1]=>[1,2,3,1,5,1]
[1,5,2,1,1,3]=>[1,1,5,2,1,3]
[1,5,2,1,3,1]=>[1,1,5,2,3,1]
[1,5,2,3,1,1]=>[2,1,6,5,1,1]
[1,5,3,1,1,2]=>[1,1,6,3,1,2]
[1,5,3,1,2,1]=>[1,1,6,3,2,1]
[1,5,3,2,1,1]=>[1,2,6,5,1,1]
[2,1,1,1,3,5]=>[4,2,2,2,6,1]
[2,1,1,1,5,3]=>[2,2,3,2,6,1]
[2,1,1,3,1,5]=>[2,2,2,3,5,1]
[2,1,1,3,5,1]=>[4,2,2,6,2,1]
[2,1,1,5,1,3]=>[2,2,2,5,3,1]
[2,1,1,5,3,1]=>[2,2,3,6,2,1]
[2,1,3,1,1,5]=>[2,3,2,2,4,1]
[2,1,3,1,5,1]=>[2,3,2,4,2,1]
[2,1,3,5,1,1]=>[3,6,2,2,2,1]
[2,1,5,1,1,3]=>[2,4,2,2,3,1]
[2,1,5,1,3,1]=>[2,4,2,3,2,1]
[2,1,5,3,1,1]=>[2,6,3,2,2,1]
[2,3,1,1,1,5]=>[1,3,3,3,5,2]
[2,3,1,1,5,1]=>[1,3,3,5,3,2]
[2,3,1,5,1,1]=>[1,4,3,3,3,2]
[2,3,5,1,1,1]=>[1,4,2,4,4,3]
[2,5,1,1,1,3]=>[3,3,1,3,4,2]
[2,5,1,1,3,1]=>[3,3,1,4,3,2]
[2,5,1,3,1,1]=>[2,4,1,4,4,3]
[2,5,3,1,1,1]=>[3,4,1,3,3,2]
[3,1,1,1,2,5]=>[2,2,2,6,1,4]
[3,1,1,1,5,2]=>[2,5,2,6,1,2]
[3,1,1,2,1,5]=>[2,2,6,2,1,4]
[3,1,1,2,5,1]=>[2,2,5,4,1,2]
[3,1,1,5,1,2]=>[2,2,4,5,1,2]
[3,1,1,5,2,1]=>[2,5,6,2,1,2]
[3,1,2,1,1,5]=>[6,2,2,2,1,3]
[3,1,2,1,5,1]=>[5,2,2,3,1,2]
[3,1,2,5,1,1]=>[5,2,3,2,1,2]
[3,1,5,1,1,2]=>[3,2,2,5,1,2]
[3,1,5,1,2,1]=>[3,2,5,2,1,2]
[3,1,5,2,1,1]=>[6,5,2,2,1,2]
[3,2,1,1,1,5]=>[4,2,4,4,3,1]
[3,2,1,1,5,1]=>[3,3,3,5,2,1]
[3,2,1,5,1,1]=>[3,3,5,3,2,1]
[3,2,5,1,1,1]=>[4,3,3,3,2,1]
[3,5,1,1,1,2]=>[3,1,3,6,2,3]
[3,5,1,1,2,1]=>[3,1,6,3,2,3]
[3,5,1,2,1,1]=>[4,1,4,4,3,2]
[3,5,2,1,1,1]=>[6,1,3,3,2,3]
[5,1,1,1,2,3]=>[2,2,1,2,5,6]
[5,1,1,1,3,2]=>[2,2,1,5,2,6]
[5,1,1,2,1,3]=>[2,4,1,2,2,5]
[5,1,1,2,3,1]=>[2,6,1,4,2,2]
[5,1,1,3,1,2]=>[2,5,1,2,2,4]
[5,1,1,3,2,1]=>[2,6,1,2,4,2]
[5,1,2,1,1,3]=>[4,2,1,2,2,5]
[5,1,2,1,3,1]=>[6,2,1,4,2,2]
[5,1,2,3,1,1]=>[3,4,1,2,2,2]
[5,1,3,1,1,2]=>[5,2,1,2,2,4]
[5,1,3,1,2,1]=>[6,2,1,2,4,2]
[5,1,3,2,1,1]=>[4,3,1,2,2,2]
[5,2,1,1,1,3]=>[3,3,2,1,3,6]
[5,2,1,1,3,1]=>[4,4,3,1,2,4]
[5,2,1,3,1,1]=>[3,5,2,1,3,3]
[5,2,3,1,1,1]=>[5,3,2,1,3,3]
[5,3,1,1,1,2]=>[3,3,2,3,1,6]
[5,3,1,1,2,1]=>[4,4,3,2,1,4]
[5,3,1,2,1,1]=>[3,5,2,3,1,3]
[5,3,2,1,1,1]=>[5,3,2,3,1,3]
[1,1,1,2,3,6]=>[1,2,1,1,5,6]
[1,1,1,2,6,3]=>[1,5,1,1,2,6]
[1,1,1,3,2,6]=>[2,1,1,1,5,6]
[1,1,1,3,6,2]=>[5,1,1,1,2,6]
[1,1,1,6,2,3]=>[4,5,1,1,1,6]
[1,1,1,6,3,2]=>[5,4,1,1,1,6]
[1,1,2,1,3,6]=>[1,1,1,2,3,6]
[1,1,2,1,6,3]=>[1,4,1,2,1,6]
[1,1,2,3,1,6]=>[2,1,1,5,1,4]
[1,1,2,3,6,1]=>[5,3,1,6,1,1]
[1,1,2,6,1,3]=>[4,1,1,6,1,2]
[1,1,2,6,3,1]=>[5,1,1,6,2,1]
[1,1,3,1,2,6]=>[1,1,1,3,2,5]
[1,1,3,1,6,2]=>[4,1,1,2,1,6]
[1,1,3,2,1,6]=>[1,2,1,5,1,4]
[1,1,3,2,6,1]=>[3,5,1,6,1,1]
[1,1,3,6,1,2]=>[1,4,1,6,1,2]
[1,1,3,6,2,1]=>[1,5,1,6,2,1]
[1,1,6,1,2,3]=>[1,2,1,4,1,5]
[1,1,6,1,3,2]=>[2,1,1,4,1,5]
[1,1,6,2,1,3]=>[1,1,1,5,2,3]
[1,1,6,2,3,1]=>[2,1,1,6,5,1]
[1,1,6,3,1,2]=>[1,1,1,6,3,2]
[1,1,6,3,2,1]=>[1,2,1,6,5,1]
[1,2,1,1,3,6]=>[1,1,2,1,3,6]
[1,2,1,1,6,3]=>[1,4,2,1,1,6]
[1,2,1,3,1,6]=>[1,1,2,3,1,4]
[1,2,1,3,6,1]=>[1,3,2,6,1,1]
[1,2,1,6,1,3]=>[1,1,2,4,1,3]
[1,2,1,6,3,1]=>[1,1,2,6,3,1]
[1,2,3,1,1,6]=>[2,1,5,1,1,4]
[1,2,3,1,6,1]=>[2,1,5,3,1,1]
[1,2,3,6,1,1]=>[5,3,6,1,1,1]
[1,2,6,1,1,3]=>[4,1,6,1,1,2]
[1,2,6,1,3,1]=>[5,1,6,1,2,1]
[1,2,6,3,1,1]=>[3,1,6,2,1,1]
[1,3,1,1,2,6]=>[1,1,3,1,2,5]
[1,3,1,1,6,2]=>[4,1,2,1,1,6]
[1,3,1,2,1,6]=>[1,1,3,2,1,4]
[1,3,1,2,6,1]=>[3,1,2,6,1,1]
[1,3,1,6,1,2]=>[1,1,3,4,1,2]
[1,3,1,6,2,1]=>[1,1,3,5,2,1]
[1,3,2,1,1,6]=>[1,2,5,1,1,4]
[1,3,2,1,6,1]=>[1,2,5,3,1,1]
[1,3,2,6,1,1]=>[3,5,6,1,1,1]
[1,3,6,1,1,2]=>[1,4,6,1,1,2]
[1,3,6,1,2,1]=>[1,5,6,1,2,1]
[1,3,6,2,1,1]=>[1,3,6,2,1,1]
[1,6,1,1,2,3]=>[1,2,4,1,1,5]
[1,6,1,1,3,2]=>[2,1,4,1,1,5]
[1,6,1,2,1,3]=>[1,1,5,1,2,3]
[1,6,1,2,3,1]=>[2,1,6,1,5,1]
[1,6,1,3,1,2]=>[1,1,6,1,3,2]
[1,6,1,3,2,1]=>[1,2,6,1,5,1]
[1,6,2,1,1,3]=>[1,1,4,2,1,3]
[1,6,2,1,3,1]=>[1,1,6,2,3,1]
[1,6,2,3,1,1]=>[2,1,3,5,1,1]
[1,6,3,1,1,2]=>[1,1,4,3,1,2]
[1,6,3,1,2,1]=>[1,1,5,3,2,1]
[1,6,3,2,1,1]=>[1,2,3,5,1,1]
[2,1,1,1,3,6]=>[5,2,2,2,6,1]
[2,1,1,1,6,3]=>[2,2,2,3,6,1]
[2,1,1,3,1,6]=>[2,2,3,2,5,1]
[2,1,1,3,6,1]=>[4,2,6,2,2,1]
[2,1,1,6,1,3]=>[2,2,5,2,3,1]
[2,1,1,6,3,1]=>[2,2,6,3,2,1]
[2,1,3,1,1,6]=>[2,3,2,2,5,1]
[2,1,3,1,6,1]=>[2,3,4,2,2,1]
[2,1,3,6,1,1]=>[4,6,2,2,2,1]
[2,1,6,1,1,3]=>[2,5,2,2,3,1]
[2,1,6,1,3,1]=>[2,6,2,3,2,1]
[2,1,6,3,1,1]=>[2,4,3,2,2,1]
[2,3,1,1,1,6]=>[1,3,3,3,6,2]
[2,3,1,1,6,1]=>[1,3,5,3,3,2]
[2,3,1,6,1,1]=>[1,5,3,3,3,2]
[2,3,6,1,1,1]=>[1,4,4,2,4,3]
[2,6,1,1,1,3]=>[3,3,3,1,4,2]
[2,6,1,1,3,1]=>[2,4,4,1,4,3]
[2,6,1,3,1,1]=>[3,3,4,1,3,2]
[2,6,3,1,1,1]=>[3,4,3,1,3,2]
[3,1,1,1,2,6]=>[2,2,2,6,1,5]
[3,1,1,1,6,2]=>[2,2,5,6,1,2]
[3,1,1,2,1,6]=>[2,6,2,2,1,4]
[3,1,1,2,6,1]=>[2,5,2,4,1,2]
[3,1,1,6,1,2]=>[2,4,2,5,1,2]
[3,1,1,6,2,1]=>[2,6,5,2,1,2]
[3,1,2,1,1,6]=>[6,2,2,2,1,4]
[3,1,2,1,6,1]=>[5,2,2,4,1,2]
[3,1,2,6,1,1]=>[5,3,2,2,1,2]
[3,1,6,1,1,2]=>[4,2,2,5,1,2]
[3,1,6,1,2,1]=>[6,2,5,2,1,2]
[3,1,6,2,1,1]=>[3,5,2,2,1,2]
[3,2,1,1,1,6]=>[4,4,2,4,3,1]
[3,2,1,1,6,1]=>[3,3,3,6,2,1]
[3,2,1,6,1,1]=>[3,5,3,3,2,1]
[3,2,6,1,1,1]=>[5,3,3,3,2,1]
[3,6,1,1,1,2]=>[3,3,1,6,2,3]
[3,6,1,1,2,1]=>[4,4,1,4,3,2]
[3,6,1,2,1,1]=>[3,6,1,3,2,3]
[3,6,2,1,1,1]=>[6,3,1,3,2,3]
[6,1,1,1,2,3]=>[2,1,2,4,2,6]
[6,1,1,1,3,2]=>[2,1,4,2,2,6]
[6,1,1,2,1,3]=>[2,1,2,2,4,5]
[6,1,1,2,3,1]=>[2,1,4,2,6,2]
[6,1,1,3,1,2]=>[2,1,2,2,5,4]
[6,1,1,3,2,1]=>[2,1,2,4,6,2]
[6,1,2,1,1,3]=>[3,1,2,2,2,4]
[6,1,2,1,3,1]=>[3,1,2,2,4,2]
[6,1,2,3,1,1]=>[6,1,3,2,2,2]
[6,1,3,1,1,2]=>[4,1,2,2,2,3]
[6,1,3,1,2,1]=>[4,1,2,2,3,2]
[6,1,3,2,1,1]=>[6,1,2,3,2,2]
[6,2,1,1,1,3]=>[3,2,1,3,3,5]
[6,2,1,1,3,1]=>[3,2,1,3,5,3]
[6,2,1,3,1,1]=>[4,3,1,2,4,4]
[6,2,3,1,1,1]=>[4,2,1,3,3,3]
[6,3,1,1,1,2]=>[3,2,3,1,3,5]
[6,3,1,1,2,1]=>[3,2,3,1,5,3]
[6,3,1,2,1,1]=>[4,3,2,1,4,4]
[6,3,2,1,1,1]=>[4,2,3,1,3,3]
[1,1,1,2,4,4]=>[1,1,2,1,5,5]
[1,1,1,4,2,4]=>[3,1,1,1,5,3]
[1,1,1,4,4,2]=>[3,1,1,1,3,5]
[1,1,2,1,4,4]=>[1,1,1,2,4,4]
[1,1,2,4,1,4]=>[3,1,1,5,1,3]
[1,1,2,4,4,1]=>[3,1,1,5,3,1]
[1,1,4,1,2,4]=>[1,1,2,5,1,5]
[1,1,4,1,4,2]=>[3,1,1,3,1,5]
[1,1,4,2,1,4]=>[1,1,1,4,2,4]
[1,1,4,2,4,1]=>[3,1,1,3,5,1]
[1,1,4,4,1,2]=>[1,1,1,4,4,2]
[1,1,4,4,2,1]=>[1,1,2,5,5,1]
[1,2,1,1,4,4]=>[1,2,1,1,3,3]
[1,2,1,4,1,4]=>[1,2,1,3,1,3]
[1,2,1,4,4,1]=>[1,2,1,3,3,1]
[1,2,4,1,1,4]=>[2,5,1,1,1,2]
[1,2,4,1,4,1]=>[2,5,1,1,2,1]
[1,2,4,4,1,1]=>[2,5,1,2,1,1]
[1,4,1,1,2,4]=>[1,5,2,1,1,5]
[1,4,1,1,4,2]=>[2,2,1,1,1,5]
[1,4,1,2,1,4]=>[1,3,1,1,2,3]
[1,4,1,2,4,1]=>[2,2,1,1,5,1]
[1,4,1,4,1,2]=>[1,3,1,1,3,2]
[1,4,1,4,2,1]=>[1,5,2,1,5,1]
[1,4,2,1,1,4]=>[1,3,1,2,1,3]
[1,4,2,1,4,1]=>[1,3,1,2,3,1]
[1,4,2,4,1,1]=>[2,2,1,5,1,1]
[1,4,4,1,1,2]=>[1,3,1,3,1,2]
[1,4,4,1,2,1]=>[1,3,1,3,2,1]
[1,4,4,2,1,1]=>[1,5,2,5,1,1]
[2,1,1,1,4,4]=>[2,2,2,4,4,1]
[2,1,1,4,1,4]=>[2,2,4,2,4,1]
[2,1,1,4,4,1]=>[2,2,4,4,2,1]
[2,1,4,1,1,4]=>[3,2,2,2,3,1]
[2,1,4,1,4,1]=>[3,2,2,3,2,1]
[2,1,4,4,1,1]=>[3,2,3,2,2,1]
[2,4,1,1,1,4]=>[4,1,4,4,2,2]
[2,4,1,1,4,1]=>[4,1,4,2,4,2]
[2,4,1,4,1,1]=>[4,1,2,4,4,2]
[2,4,4,1,1,1]=>[2,1,4,4,4,2]
[4,1,1,1,2,4]=>[4,4,4,2,1,1]
[4,1,1,1,4,2]=>[2,2,2,1,1,3]
[4,1,1,2,1,4]=>[2,2,6,1,2,1]
[4,1,1,2,4,1]=>[2,2,3,1,1,2]
[4,1,1,4,1,2]=>[3,3,1,1,3,6]
[4,1,1,4,2,1]=>[4,4,1,3,1,4]
[4,1,2,1,1,4]=>[2,6,2,1,2,1]
[4,1,2,1,4,1]=>[2,3,2,1,1,2]
[4,1,2,4,1,1]=>[3,5,1,1,3,3]
[4,1,4,1,1,2]=>[3,1,3,1,3,6]
[4,1,4,1,2,1]=>[3,1,5,1,3,3]
[4,1,4,2,1,1]=>[4,1,4,3,1,4]
[4,2,1,1,1,4]=>[6,2,2,1,2,1]
[4,2,1,1,4,1]=>[3,2,2,1,1,2]
[4,2,1,4,1,1]=>[5,3,1,1,3,3]
[4,2,4,1,1,1]=>[5,1,3,1,3,3]
[4,4,1,1,1,2]=>[1,3,3,1,3,6]
[4,4,1,1,2,1]=>[1,3,5,1,3,3]
[4,4,1,2,1,1]=>[1,5,3,1,3,3]
[4,4,2,1,1,1]=>[1,4,4,3,1,4]
[1,1,1,2,4,5]=>[1,1,2,5,1,6]
[1,1,1,2,5,4]=>[1,1,5,2,1,6]
[1,1,1,4,2,5]=>[3,1,1,5,1,6]
[1,1,1,4,5,2]=>[5,1,1,3,1,6]
[1,1,1,5,2,4]=>[3,1,5,1,1,6]
[1,1,1,5,4,2]=>[5,1,3,1,1,6]
[1,1,2,1,4,5]=>[1,1,1,4,2,6]
[1,1,2,1,5,4]=>[1,1,4,1,2,6]
[1,1,2,4,1,5]=>[3,1,1,1,5,4]
[1,1,2,4,5,1]=>[5,1,3,1,6,1]
[1,1,2,5,1,4]=>[4,1,1,1,6,3]
[1,1,2,5,4,1]=>[5,1,1,3,6,1]
[1,1,4,1,2,5]=>[1,1,1,2,4,5]
[1,1,4,1,5,2]=>[4,1,1,1,3,6]
[1,1,4,2,1,5]=>[1,1,2,1,5,4]
[1,1,4,2,5,1]=>[3,1,5,1,6,1]
[1,1,4,5,1,2]=>[1,1,4,1,6,2]
[1,1,4,5,2,1]=>[1,1,5,2,6,1]
[1,1,5,1,2,4]=>[1,1,2,1,4,5]
[1,1,5,1,4,2]=>[3,1,1,1,4,5]
[1,1,5,2,1,4]=>[1,1,1,2,5,4]
[1,1,5,2,4,1]=>[3,1,1,5,6,1]
[1,1,5,4,1,2]=>[1,1,1,4,6,2]
[1,1,5,4,2,1]=>[1,1,2,5,6,1]
[1,2,1,1,4,5]=>[1,2,1,3,1,6]
[1,2,1,1,5,4]=>[1,2,3,1,1,6]
[1,2,1,4,1,5]=>[1,2,1,1,3,4]
[1,2,1,4,5,1]=>[1,2,3,1,6,1]
[1,2,1,5,1,4]=>[1,2,1,1,4,3]
[1,2,1,5,4,1]=>[1,2,1,3,6,1]
[1,2,4,1,1,5]=>[2,5,1,1,1,3]
[1,2,4,1,5,1]=>[2,5,1,1,3,1]
[1,2,4,5,1,1]=>[5,6,2,1,1,1]
[1,2,5,1,1,4]=>[3,6,1,1,1,2]
[1,2,5,1,4,1]=>[3,6,1,1,2,1]
[1,2,5,4,1,1]=>[5,6,1,2,1,1]
[1,4,1,1,2,5]=>[1,3,1,2,1,5]
[1,4,1,1,5,2]=>[3,2,1,1,1,6]
[1,4,1,2,1,5]=>[1,3,1,1,2,4]
[1,4,1,2,5,1]=>[3,2,1,1,6,1]
[1,4,1,5,1,2]=>[1,3,1,1,4,2]
[1,4,1,5,2,1]=>[1,3,1,2,5,1]
[1,4,2,1,1,5]=>[1,5,2,1,1,3]
[1,4,2,1,5,1]=>[1,5,2,1,3,1]
[1,4,2,5,1,1]=>[2,6,5,1,1,1]
[1,4,5,1,1,2]=>[1,6,3,1,1,2]
[1,4,5,1,2,1]=>[1,6,3,1,2,1]
[1,4,5,2,1,1]=>[1,6,5,2,1,1]
[1,5,1,1,2,4]=>[1,3,2,1,1,5]
[1,5,1,1,4,2]=>[2,3,1,1,1,5]
[1,5,1,2,1,4]=>[1,4,1,1,2,3]
[1,5,1,2,4,1]=>[2,3,1,1,5,1]
[1,5,1,4,1,2]=>[1,4,1,1,3,2]
[1,5,1,4,2,1]=>[1,3,2,1,5,1]
[1,5,2,1,1,4]=>[1,5,1,2,1,3]
[1,5,2,1,4,1]=>[1,5,1,2,3,1]
[1,5,2,4,1,1]=>[2,6,1,5,1,1]
[1,5,4,1,1,2]=>[1,6,1,3,1,2]
[1,5,4,1,2,1]=>[1,6,1,3,2,1]
[1,5,4,2,1,1]=>[1,6,2,5,1,1]
[2,1,1,1,4,5]=>[2,4,2,2,6,1]
[2,1,1,1,5,4]=>[2,2,4,2,6,1]
[2,1,1,4,1,5]=>[2,2,2,4,5,1]
[2,1,1,4,5,1]=>[2,4,2,6,2,1]
[2,1,1,5,1,4]=>[2,2,2,5,4,1]
[2,1,1,5,4,1]=>[2,2,4,6,2,1]
[2,1,4,1,1,5]=>[3,2,2,2,4,1]
[2,1,4,1,5,1]=>[3,2,2,4,2,1]
[2,1,4,5,1,1]=>[6,3,2,2,2,1]
[2,1,5,1,1,4]=>[4,2,2,2,3,1]
[2,1,5,1,4,1]=>[4,2,2,3,2,1]
[2,1,5,4,1,1]=>[6,2,3,2,2,1]
[2,4,1,1,1,5]=>[3,1,3,3,5,2]
[2,4,1,1,5,1]=>[3,1,3,5,3,2]
[2,4,1,5,1,1]=>[4,1,2,4,4,3]
[2,4,5,1,1,1]=>[4,1,3,3,3,2]
[2,5,1,1,1,4]=>[3,3,1,3,5,2]
[2,5,1,1,4,1]=>[3,3,1,5,3,2]
[2,5,1,4,1,1]=>[4,2,1,4,4,3]
[2,5,4,1,1,1]=>[4,3,1,3,3,2]
[4,1,1,1,2,5]=>[5,2,2,1,2,6]
[4,1,1,1,5,2]=>[2,2,2,1,3,6]
[4,1,1,2,1,5]=>[2,2,5,1,2,3]
[4,1,1,2,5,1]=>[2,2,6,1,3,2]
[4,1,1,5,1,2]=>[2,2,3,1,2,5]
[4,1,1,5,2,1]=>[4,2,6,1,2,2]
[4,1,2,1,1,5]=>[2,5,2,1,2,3]
[4,1,2,1,5,1]=>[2,6,2,1,3,2]
[4,1,2,5,1,1]=>[2,4,3,1,2,2]
[4,1,5,1,1,2]=>[2,3,2,1,2,5]
[4,1,5,1,2,1]=>[2,3,4,1,2,2]
[4,1,5,2,1,1]=>[4,6,2,1,2,2]
[4,2,1,1,1,5]=>[3,3,3,2,1,4]
[4,2,1,1,5,1]=>[2,4,4,3,1,4]
[4,2,1,5,1,1]=>[3,3,4,2,1,3]
[4,2,5,1,1,1]=>[3,4,3,2,1,3]
[4,5,1,1,1,2]=>[1,3,3,2,3,6]
[4,5,1,1,2,1]=>[1,3,5,2,3,3]
[4,5,1,2,1,1]=>[1,5,3,2,3,3]
[4,5,2,1,1,1]=>[1,4,4,3,2,4]
[5,1,1,1,2,4]=>[2,2,1,2,6,5]
[5,1,1,1,4,2]=>[2,2,1,5,6,2]
[5,1,1,2,1,4]=>[2,4,1,2,5,2]
[5,1,1,2,4,1]=>[2,6,1,5,2,2]
[5,1,1,4,1,2]=>[2,6,1,2,2,4]
[5,1,1,4,2,1]=>[2,5,1,2,4,2]
[5,1,2,1,1,4]=>[4,2,1,2,5,2]
[5,1,2,1,4,1]=>[6,2,1,5,2,2]
[5,1,2,4,1,1]=>[3,5,1,2,2,2]
[5,1,4,1,1,2]=>[6,2,1,2,2,4]
[5,1,4,1,2,1]=>[5,2,1,2,4,2]
[5,1,4,2,1,1]=>[5,3,1,2,2,2]
[5,2,1,1,1,4]=>[3,3,2,1,6,3]
[5,2,1,1,4,1]=>[4,4,3,1,4,2]
[5,2,1,4,1,1]=>[3,6,2,1,3,3]
[5,2,4,1,1,1]=>[6,3,2,1,3,3]
[5,4,1,1,1,2]=>[4,4,3,2,4,1]
[5,4,1,1,2,1]=>[3,3,2,3,6,1]
[5,4,1,2,1,1]=>[3,5,2,3,3,1]
[5,4,2,1,1,1]=>[5,3,2,3,3,1]
[1,1,1,2,4,6]=>[1,1,2,1,5,6]
[1,1,1,2,6,4]=>[1,1,5,1,2,6]
[1,1,1,4,2,6]=>[3,1,1,1,5,6]
[1,1,1,4,6,2]=>[5,1,1,1,3,6]
[1,1,1,6,2,4]=>[4,1,5,1,1,6]
[1,1,1,6,4,2]=>[5,1,4,1,1,6]
[1,1,2,1,4,6]=>[1,1,1,2,4,6]
[1,1,2,1,6,4]=>[1,1,4,2,1,6]
[1,1,2,4,1,6]=>[3,1,1,5,1,4]
[1,1,2,4,6,1]=>[5,1,3,6,1,1]
[1,1,2,6,1,4]=>[4,1,1,6,1,3]
[1,1,2,6,4,1]=>[5,1,1,6,3,1]
[1,1,4,1,2,6]=>[1,1,1,4,2,5]
[1,1,4,1,6,2]=>[4,1,1,3,1,6]
[1,1,4,2,1,6]=>[1,1,2,5,1,4]
[1,1,4,2,6,1]=>[3,1,5,6,1,1]
[1,1,4,6,1,2]=>[1,1,4,6,1,2]
[1,1,4,6,2,1]=>[1,1,5,6,2,1]
[1,1,6,1,2,4]=>[1,1,2,4,1,5]
[1,1,6,1,4,2]=>[3,1,1,4,1,5]
[1,1,6,2,1,4]=>[1,1,1,5,2,4]
[1,1,6,2,4,1]=>[3,1,1,6,5,1]
[1,1,6,4,1,2]=>[1,1,1,6,4,2]
[1,1,6,4,2,1]=>[1,1,2,6,5,1]
[1,2,1,1,4,6]=>[1,2,1,1,3,6]
[1,2,1,1,6,4]=>[1,2,4,1,1,6]
[1,2,1,4,1,6]=>[1,2,1,3,1,4]
[1,2,1,4,6,1]=>[1,2,3,6,1,1]
[1,2,1,6,1,4]=>[1,2,1,4,1,3]
[1,2,1,6,4,1]=>[1,2,1,6,3,1]
[1,2,4,1,1,6]=>[2,5,1,1,1,4]
[1,2,4,1,6,1]=>[2,5,1,3,1,1]
[1,2,4,6,1,1]=>[5,6,3,1,1,1]
[1,2,6,1,1,4]=>[4,6,1,1,1,2]
[1,2,6,1,4,1]=>[5,6,1,1,2,1]
[1,2,6,4,1,1]=>[3,6,1,2,1,1]
[1,4,1,1,2,6]=>[1,3,1,1,2,5]
[1,4,1,1,6,2]=>[4,2,1,1,1,6]
[1,4,1,2,1,6]=>[1,3,1,2,1,4]
[1,4,1,2,6,1]=>[3,2,1,6,1,1]
[1,4,1,6,1,2]=>[1,3,1,4,1,2]
[1,4,1,6,2,1]=>[1,3,1,5,2,1]
[1,4,2,1,1,6]=>[1,5,2,1,1,4]
[1,4,2,1,6,1]=>[1,5,2,3,1,1]
[1,4,2,6,1,1]=>[3,6,5,1,1,1]
[1,4,6,1,1,2]=>[1,6,4,1,1,2]
[1,4,6,1,2,1]=>[1,6,5,1,2,1]
[1,4,6,2,1,1]=>[1,6,3,2,1,1]
[1,6,1,1,2,4]=>[1,4,2,1,1,5]
[1,6,1,1,4,2]=>[2,4,1,1,1,5]
[1,6,1,2,1,4]=>[1,5,1,1,2,3]
[1,6,1,2,4,1]=>[2,6,1,1,5,1]
[1,6,1,4,1,2]=>[1,6,1,1,3,2]
[1,6,1,4,2,1]=>[1,6,2,1,5,1]
[1,6,2,1,1,4]=>[1,4,1,2,1,3]
[1,6,2,1,4,1]=>[1,6,1,2,3,1]
[1,6,2,4,1,1]=>[2,3,1,5,1,1]
[1,6,4,1,1,2]=>[1,4,1,3,1,2]
[1,6,4,1,2,1]=>[1,5,1,3,2,1]
[1,6,4,2,1,1]=>[1,3,2,5,1,1]
[2,1,1,1,4,6]=>[2,5,2,2,6,1]
[2,1,1,1,6,4]=>[2,2,2,4,6,1]
[2,1,1,4,1,6]=>[2,2,4,2,5,1]
[2,1,1,4,6,1]=>[2,4,6,2,2,1]
[2,1,1,6,1,4]=>[2,2,5,2,4,1]
[2,1,1,6,4,1]=>[2,2,6,4,2,1]
[2,1,4,1,1,6]=>[3,2,2,2,5,1]
[2,1,4,1,6,1]=>[3,2,4,2,2,1]
[2,1,4,6,1,1]=>[6,4,2,2,2,1]
[2,1,6,1,1,4]=>[5,2,2,2,3,1]
[2,1,6,1,4,1]=>[6,2,2,3,2,1]
[2,1,6,4,1,1]=>[4,2,3,2,2,1]
[2,4,1,1,1,6]=>[3,1,3,3,6,2]
[2,4,1,1,6,1]=>[3,1,5,3,3,2]
[2,4,1,6,1,1]=>[4,1,4,2,4,3]
[2,4,6,1,1,1]=>[5,1,3,3,3,2]
[2,6,1,1,1,4]=>[3,3,3,1,5,2]
[2,6,1,1,4,1]=>[4,2,4,1,4,3]
[2,6,1,4,1,1]=>[3,3,5,1,3,2]
[2,6,4,1,1,1]=>[4,3,3,1,3,2]
[4,1,1,1,2,6]=>[2,5,2,1,2,6]
[4,1,1,1,6,2]=>[2,2,2,1,4,6]
[4,1,1,2,1,6]=>[2,2,5,1,2,4]
[4,1,1,2,6,1]=>[2,2,6,1,4,2]
[4,1,1,6,1,2]=>[2,2,4,1,2,5]
[4,1,1,6,2,1]=>[2,4,6,1,2,2]
[4,1,2,1,1,6]=>[5,2,2,1,2,3]
[4,1,2,1,6,1]=>[6,2,2,1,3,2]
[4,1,2,6,1,1]=>[4,2,3,1,2,2]
[4,1,6,1,1,2]=>[3,2,2,1,2,5]
[4,1,6,1,2,1]=>[3,2,4,1,2,2]
[4,1,6,2,1,1]=>[6,4,2,1,2,2]
[4,2,1,1,1,6]=>[3,3,3,2,1,5]
[4,2,1,1,6,1]=>[4,2,4,3,1,4]
[4,2,1,6,1,1]=>[3,3,5,2,1,3]
[4,2,6,1,1,1]=>[4,3,3,2,1,3]
[4,6,1,1,1,2]=>[3,1,3,2,3,6]
[4,6,1,1,2,1]=>[3,1,5,2,3,3]
[4,6,1,2,1,1]=>[4,1,4,3,2,4]
[4,6,2,1,1,1]=>[5,1,3,2,3,3]
[6,1,1,1,2,4]=>[2,1,2,2,4,6]
[6,1,1,1,4,2]=>[2,1,5,2,2,6]
[6,1,1,2,1,4]=>[2,1,2,4,2,5]
[6,1,1,2,4,1]=>[2,1,4,6,2,2]
[6,1,1,4,1,2]=>[2,1,2,5,2,4]
[6,1,1,4,2,1]=>[2,1,2,6,4,2]
[6,1,2,1,1,4]=>[3,1,2,2,2,5]
[6,1,2,1,4,1]=>[3,1,2,4,2,2]
[6,1,2,4,1,1]=>[6,1,4,2,2,2]
[6,1,4,1,1,2]=>[5,1,2,2,2,3]
[6,1,4,1,2,1]=>[6,1,2,2,3,2]
[6,1,4,2,1,1]=>[4,1,2,3,2,2]
[6,2,1,1,1,4]=>[3,2,1,3,3,6]
[6,2,1,1,4,1]=>[3,2,1,5,3,3]
[6,2,1,4,1,1]=>[4,3,1,4,2,4]
[6,2,4,1,1,1]=>[5,2,1,3,3,3]
[6,4,1,1,1,2]=>[3,2,3,3,1,5]
[6,4,1,1,2,1]=>[4,3,2,4,1,4]
[6,4,1,2,1,1]=>[3,2,3,5,1,3]
[6,4,2,1,1,1]=>[4,2,3,3,1,3]
[1,1,1,2,5,5]=>[1,1,1,2,5,5]
[1,1,1,5,2,5]=>[4,1,1,1,5,4]
[1,1,1,5,5,2]=>[4,1,1,1,4,5]
[1,1,2,1,5,5]=>[1,1,2,1,4,4]
[1,1,2,5,1,5]=>[3,1,5,1,1,3]
[1,1,2,5,5,1]=>[3,1,5,1,3,1]
[1,1,5,1,2,5]=>[1,1,5,2,1,5]
[1,1,5,1,5,2]=>[3,1,3,1,1,5]
[1,1,5,2,1,5]=>[1,1,4,1,2,4]
[1,1,5,2,5,1]=>[3,1,3,1,5,1]
[1,1,5,5,1,2]=>[1,1,4,1,4,2]
[1,1,5,5,2,1]=>[1,1,5,2,5,1]
[1,2,1,1,5,5]=>[1,2,1,1,4,4]
[1,2,1,5,1,5]=>[1,2,3,1,1,3]
[1,2,1,5,5,1]=>[1,2,3,1,3,1]
[1,2,5,1,1,5]=>[3,5,1,1,1,3]
[1,2,5,1,5,1]=>[3,5,1,1,3,1]
[1,2,5,5,1,1]=>[2,5,2,1,1,1]
[1,5,1,1,2,5]=>[1,5,1,2,1,5]
[1,5,1,1,5,2]=>[3,3,1,1,1,5]
[1,5,1,2,1,5]=>[1,4,1,1,2,4]
[1,5,1,2,5,1]=>[3,3,1,1,5,1]
[1,5,1,5,1,2]=>[1,4,1,1,4,2]
[1,5,1,5,2,1]=>[1,5,1,2,5,1]
[1,5,2,1,1,5]=>[1,3,2,1,1,3]
[1,5,2,1,5,1]=>[1,3,2,1,3,1]
[1,5,2,5,1,1]=>[2,2,5,1,1,1]
[1,5,5,1,1,2]=>[1,3,3,1,1,2]
[1,5,5,1,2,1]=>[1,3,3,1,2,1]
[1,5,5,2,1,1]=>[1,5,5,2,1,1]
[2,1,1,1,5,5]=>[2,2,2,5,5,1]
[2,1,1,5,1,5]=>[2,4,2,2,4,1]
[2,1,1,5,5,1]=>[2,4,2,4,2,1]
[2,1,5,1,1,5]=>[4,2,2,2,4,1]
[2,1,5,1,5,1]=>[4,2,2,4,2,1]
[2,1,5,5,1,1]=>[3,3,2,2,2,1]
[2,5,1,1,1,5]=>[4,4,1,4,2,2]
[2,5,1,1,5,1]=>[4,4,1,2,4,2]
[2,5,1,5,1,1]=>[4,2,1,4,4,2]
[2,5,5,1,1,1]=>[2,4,1,4,4,2]
[5,1,1,1,2,5]=>[4,4,2,1,4,1]
[5,1,1,1,5,2]=>[2,2,1,1,2,3]
[5,1,1,2,1,5]=>[2,2,1,2,6,1]
[5,1,1,2,5,1]=>[2,2,1,1,3,2]
[5,1,1,5,1,2]=>[2,2,1,2,1,6]
[5,1,1,5,2,1]=>[4,4,2,1,1,4]
[5,1,2,1,1,5]=>[2,5,1,2,2,1]
[5,1,2,1,5,1]=>[2,5,1,2,1,2]
[5,1,2,5,1,1]=>[2,3,1,1,2,2]
[5,1,5,1,1,2]=>[3,1,1,3,3,5]
[5,1,5,1,2,1]=>[3,1,1,3,5,3]
[5,1,5,2,1,1]=>[4,1,3,1,4,4]
[5,2,1,1,1,5]=>[5,2,1,2,2,1]
[5,2,1,1,5,1]=>[5,2,1,2,1,2]
[5,2,1,5,1,1]=>[3,2,1,1,2,2]
[5,2,5,1,1,1]=>[4,1,1,3,3,3]
[5,5,1,1,1,2]=>[1,3,1,3,3,5]
[5,5,1,1,2,1]=>[1,3,1,3,5,3]
[5,5,1,2,1,1]=>[1,4,1,3,3,3]
[5,5,2,1,1,1]=>[1,4,3,1,4,4]
[1,1,1,2,5,6]=>[1,1,1,2,5,6]
[1,1,1,2,6,5]=>[1,1,1,5,2,6]
[1,1,1,5,2,6]=>[4,1,1,1,5,6]
[1,1,1,5,6,2]=>[5,1,1,1,4,6]
[1,1,1,6,2,5]=>[4,1,1,5,1,6]
[1,1,1,6,5,2]=>[5,1,1,4,1,6]
[1,1,2,1,5,6]=>[1,1,2,1,4,6]
[1,1,2,1,6,5]=>[1,1,2,4,1,6]
[1,1,2,5,1,6]=>[3,1,5,1,1,4]
[1,1,2,5,6,1]=>[5,1,6,3,1,1]
[1,1,2,6,1,5]=>[4,1,6,1,1,3]
[1,1,2,6,5,1]=>[5,1,6,1,3,1]
[1,1,5,1,2,6]=>[1,1,4,1,2,5]
[1,1,5,1,6,2]=>[4,1,3,1,1,6]
[1,1,5,2,1,6]=>[1,1,5,2,1,4]
[1,1,5,2,6,1]=>[3,1,6,5,1,1]
[1,1,5,6,1,2]=>[1,1,6,4,1,2]
[1,1,5,6,2,1]=>[1,1,6,5,2,1]
[1,1,6,1,2,5]=>[1,1,4,2,1,5]
[1,1,6,1,5,2]=>[3,1,4,1,1,5]
[1,1,6,2,1,5]=>[1,1,5,1,2,4]
[1,1,6,2,5,1]=>[3,1,6,1,5,1]
[1,1,6,5,1,2]=>[1,1,6,1,4,2]
[1,1,6,5,2,1]=>[1,1,6,2,5,1]
[1,2,1,1,5,6]=>[1,2,1,1,4,6]
[1,2,1,1,6,5]=>[1,2,1,4,1,6]
[1,2,1,5,1,6]=>[1,2,3,1,1,4]
[1,2,1,5,6,1]=>[1,2,6,3,1,1]
[1,2,1,6,1,5]=>[1,2,4,1,1,3]
[1,2,1,6,5,1]=>[1,2,6,1,3,1]
[1,2,5,1,1,6]=>[3,5,1,1,1,4]
[1,2,5,1,6,1]=>[5,6,1,3,1,1]
[1,2,5,6,1,1]=>[2,5,3,1,1,1]
[1,2,6,1,1,5]=>[4,6,1,1,1,3]
[1,2,6,1,5,1]=>[5,6,1,1,3,1]
[1,2,6,5,1,1]=>[3,6,2,1,1,1]
[1,5,1,1,2,6]=>[1,4,1,1,2,5]
[1,5,1,1,6,2]=>[4,3,1,1,1,6]
[1,5,1,2,1,6]=>[1,5,1,2,1,4]
[1,5,1,2,6,1]=>[3,6,1,5,1,1]
[1,5,1,6,1,2]=>[1,6,1,4,1,2]
[1,5,1,6,2,1]=>[1,6,1,5,2,1]
[1,5,2,1,1,6]=>[1,3,2,1,1,4]
[1,5,2,1,6,1]=>[1,6,2,3,1,1]
[1,5,2,6,1,1]=>[3,2,6,1,1,1]
[1,5,6,1,1,2]=>[1,3,4,1,1,2]
[1,5,6,1,2,1]=>[1,3,5,1,2,1]
[1,5,6,2,1,1]=>[1,5,3,2,1,1]
[1,6,1,1,2,5]=>[1,4,1,2,1,5]
[1,6,1,1,5,2]=>[3,4,1,1,1,5]
[1,6,1,2,1,5]=>[1,5,1,1,2,4]
[1,6,1,2,5,1]=>[3,6,1,1,5,1]
[1,6,1,5,1,2]=>[1,6,1,1,4,2]
[1,6,1,5,2,1]=>[1,6,1,2,5,1]
[1,6,2,1,1,5]=>[1,4,2,1,1,3]
[1,6,2,1,5,1]=>[1,6,2,1,3,1]
[1,6,2,5,1,1]=>[2,3,5,1,1,1]
[1,6,5,1,1,2]=>[1,4,3,1,1,2]
[1,6,5,1,2,1]=>[1,5,3,1,2,1]
[1,6,5,2,1,1]=>[1,3,5,2,1,1]
[2,1,1,1,5,6]=>[2,2,5,2,6,1]
[2,1,1,1,6,5]=>[2,2,2,5,6,1]
[2,1,1,5,1,6]=>[2,4,2,2,5,1]
[2,1,1,5,6,1]=>[2,6,4,2,2,1]
[2,1,1,6,1,5]=>[2,5,2,2,4,1]
[2,1,1,6,5,1]=>[2,6,2,4,2,1]
[2,1,5,1,1,6]=>[4,2,2,2,5,1]
[2,1,5,1,6,1]=>[6,2,4,2,2,1]
[2,1,5,6,1,1]=>[3,4,2,2,2,1]
[2,1,6,1,1,5]=>[5,2,2,2,4,1]
[2,1,6,1,5,1]=>[6,2,2,4,2,1]
[2,1,6,5,1,1]=>[4,3,2,2,2,1]
[2,5,1,1,1,6]=>[3,3,1,3,6,2]
[2,5,1,1,6,1]=>[4,4,1,2,4,3]
[2,5,1,6,1,1]=>[3,5,1,3,3,2]
[2,5,6,1,1,1]=>[5,3,1,3,3,2]
[2,6,1,1,1,5]=>[3,3,3,1,6,2]
[2,6,1,1,5,1]=>[4,4,2,1,4,3]
[2,6,1,5,1,1]=>[3,5,3,1,3,2]
[2,6,5,1,1,1]=>[5,3,3,1,3,2]
[5,1,1,1,2,6]=>[4,2,1,2,2,6]
[5,1,1,1,6,2]=>[2,2,1,3,2,6]
[5,1,1,2,1,6]=>[2,2,1,2,5,3]
[5,1,1,2,6,1]=>[2,2,1,3,6,2]
[5,1,1,6,1,2]=>[2,2,1,2,3,5]
[5,1,1,6,2,1]=>[4,2,1,2,6,2]
[5,1,2,1,1,6]=>[2,4,1,2,2,3]
[5,1,2,1,6,1]=>[2,4,1,2,3,2]
[5,1,2,6,1,1]=>[2,6,1,3,2,2]
[5,1,6,1,1,2]=>[2,3,1,2,2,4]
[5,1,6,1,2,1]=>[2,3,1,2,4,2]
[5,1,6,2,1,1]=>[3,6,1,2,2,2]
[5,2,1,1,1,6]=>[3,3,2,1,3,4]
[5,2,1,1,6,1]=>[3,3,2,1,4,3]
[5,2,1,6,1,1]=>[2,4,3,1,4,4]
[5,2,6,1,1,1]=>[3,4,2,1,3,3]
[5,6,1,1,1,2]=>[1,3,2,3,3,5]
[5,6,1,1,2,1]=>[1,3,2,3,5,3]
[5,6,1,2,1,1]=>[1,4,2,3,3,3]
[5,6,2,1,1,1]=>[1,4,3,2,4,4]
[6,1,1,1,2,5]=>[2,1,2,2,6,4]
[6,1,1,1,5,2]=>[2,1,5,2,6,2]
[6,1,1,2,1,5]=>[2,1,2,4,5,2]
[6,1,1,2,5,1]=>[2,1,5,6,2,2]
[6,1,1,5,1,2]=>[2,1,2,6,2,4]
[6,1,1,5,2,1]=>[2,1,2,5,4,2]
[6,1,2,1,1,5]=>[3,1,2,2,5,2]
[6,1,2,1,5,1]=>[3,1,2,5,2,2]
[6,1,2,5,1,1]=>[6,1,5,2,2,2]
[6,1,5,1,1,2]=>[6,1,2,2,2,3]
[6,1,5,1,2,1]=>[5,1,2,2,3,2]
[6,1,5,2,1,1]=>[5,1,2,3,2,2]
[6,2,1,1,1,5]=>[3,2,1,3,6,3]
[6,2,1,1,5,1]=>[3,2,1,6,3,3]
[6,2,1,5,1,1]=>[4,3,1,4,4,2]
[6,2,5,1,1,1]=>[6,2,1,3,3,3]
[6,5,1,1,1,2]=>[4,3,2,4,4,1]
[6,5,1,1,2,1]=>[3,2,3,3,5,1]
[6,5,1,2,1,1]=>[3,2,3,5,3,1]
[6,5,2,1,1,1]=>[4,2,3,3,3,1]
[1,1,1,3,3,3]=>[1,1,1,3,3,3]
[1,1,3,1,3,3]=>[1,1,3,1,3,3]
[1,1,3,3,1,3]=>[1,1,3,3,1,3]
[1,1,3,3,3,1]=>[1,1,3,3,3,1]
[1,3,1,1,3,3]=>[2,1,1,1,2,2]
[1,3,1,3,1,3]=>[2,1,1,2,1,2]
[1,3,1,3,3,1]=>[2,1,1,2,2,1]
[1,3,3,1,1,3]=>[2,1,2,1,1,2]
[1,3,3,1,3,1]=>[2,1,2,1,2,1]
[1,3,3,3,1,1]=>[2,1,2,2,1,1]
[3,1,1,1,3,3]=>[3,3,3,1,1,1]
[3,1,1,3,1,3]=>[3,3,1,3,1,1]
[3,1,1,3,3,1]=>[4,4,1,1,1,4]
[3,1,3,1,1,3]=>[3,1,3,3,1,1]
[3,1,3,1,3,1]=>[4,1,4,1,1,4]
[3,1,3,3,1,1]=>[4,1,1,4,1,4]
[3,3,1,1,1,3]=>[1,3,3,3,1,1]
[3,3,1,1,3,1]=>[1,4,4,1,1,4]
[3,3,1,3,1,1]=>[1,4,1,4,1,4]
[3,3,3,1,1,1]=>[1,1,4,4,1,4]
[1,1,1,3,3,4]=>[1,1,3,1,3,5]
[1,1,1,3,4,3]=>[1,1,3,1,5,3]
[1,1,1,4,3,3]=>[1,3,1,1,5,5]
[1,1,3,1,3,4]=>[1,1,3,3,1,5]
[1,1,3,1,4,3]=>[1,3,1,5,1,5]
[1,1,3,3,1,4]=>[1,1,1,3,3,4]
[1,1,3,3,4,1]=>[1,3,1,5,5,1]
[1,1,3,4,1,3]=>[1,1,1,3,4,3]
[1,1,3,4,3,1]=>[1,1,3,3,5,1]
[1,1,4,1,3,3]=>[1,1,1,4,3,3]
[1,1,4,3,1,3]=>[1,1,3,5,1,3]
[1,1,4,3,3,1]=>[1,1,3,5,3,1]
[1,3,1,1,3,4]=>[2,1,2,1,1,6]
[1,3,1,1,4,3]=>[5,2,1,1,1,5]
[1,3,1,3,1,4]=>[2,1,1,1,2,3]
[1,3,1,3,4,1]=>[5,2,1,1,5,1]
[1,3,1,4,1,3]=>[2,1,1,1,3,2]
[1,3,1,4,3,1]=>[2,1,2,1,6,1]
[1,3,3,1,1,4]=>[2,1,1,2,1,3]
[1,3,3,1,4,1]=>[2,1,1,2,3,1]
[1,3,3,4,1,1]=>[5,2,1,5,1,1]
[1,3,4,1,1,3]=>[2,1,1,3,1,2]
[1,3,4,1,3,1]=>[2,1,1,3,2,1]
[1,3,4,3,1,1]=>[2,1,2,6,1,1]
[1,4,1,1,3,3]=>[3,1,1,1,2,2]
[1,4,1,3,1,3]=>[3,1,1,2,1,2]
[1,4,1,3,3,1]=>[3,1,1,2,2,1]
[1,4,3,1,1,3]=>[5,1,2,1,1,2]
[1,4,3,1,3,1]=>[5,1,2,1,2,1]
[1,4,3,3,1,1]=>[5,1,2,2,1,1]
[3,1,1,1,3,4]=>[1,3,3,3,1,2]
[3,1,1,1,4,3]=>[1,4,4,4,2,1]
[3,1,1,3,1,4]=>[3,3,3,1,1,4]
[3,1,1,3,4,1]=>[1,4,4,1,2,4]
[3,1,1,4,1,3]=>[2,2,2,4,1,1]
[3,1,1,4,3,1]=>[1,3,3,2,1,3]
[3,1,3,1,1,4]=>[3,3,1,3,1,4]
[3,1,3,1,4,1]=>[3,3,1,4,1,3]
[3,1,3,4,1,1]=>[1,4,1,4,2,4]
[3,1,4,1,1,3]=>[2,2,4,2,1,1]
[3,1,4,1,3,1]=>[3,3,4,1,1,3]
[3,1,4,3,1,1]=>[1,3,2,3,1,3]
[3,3,1,1,1,4]=>[3,1,3,3,1,4]
[3,3,1,1,4,1]=>[3,1,3,4,1,3]
[3,3,1,4,1,1]=>[3,1,4,3,1,3]
[3,3,4,1,1,1]=>[1,1,4,4,2,4]
[3,4,1,1,1,3]=>[2,4,2,2,1,1]
[3,4,1,1,3,1]=>[3,4,3,1,1,3]
[3,4,1,3,1,1]=>[3,4,1,3,1,3]
[3,4,3,1,1,1]=>[1,2,3,3,1,3]
[4,1,1,1,3,3]=>[2,2,5,1,5,2]
[4,1,1,3,1,3]=>[2,5,2,1,5,2]
[4,1,1,3,3,1]=>[2,5,5,1,2,2]
[4,1,3,1,1,3]=>[5,2,2,1,5,2]
[4,1,3,1,3,1]=>[5,2,5,1,2,2]
[4,1,3,3,1,1]=>[5,5,2,1,2,2]
[4,3,1,1,1,3]=>[3,3,3,2,2,1]
[4,3,1,1,3,1]=>[4,4,2,2,4,1]
[4,3,1,3,1,1]=>[4,2,4,2,4,1]
[4,3,3,1,1,1]=>[2,4,4,2,4,1]
[1,1,1,3,3,5]=>[1,1,1,3,3,5]
[1,1,1,3,5,3]=>[1,1,1,3,5,3]
[1,1,1,5,3,3]=>[1,4,1,1,5,5]
[1,1,3,1,3,5]=>[1,1,3,3,1,6]
[1,1,3,1,5,3]=>[1,3,5,1,1,5]
[1,1,3,3,1,5]=>[1,1,3,1,3,4]
[1,1,3,3,5,1]=>[1,3,5,1,5,1]
[1,1,3,5,1,3]=>[1,1,3,1,4,3]
[1,1,3,5,3,1]=>[1,1,3,3,6,1]
[1,1,5,1,3,3]=>[1,1,4,1,3,3]
[1,1,5,3,1,3]=>[1,1,5,3,1,3]
[1,1,5,3,3,1]=>[1,1,5,3,3,1]
[1,3,1,1,3,5]=>[2,1,1,2,1,6]
[1,3,1,1,5,3]=>[5,3,1,1,1,5]
[1,3,1,3,1,5]=>[2,1,1,1,2,4]
[1,3,1,3,5,1]=>[5,3,1,1,5,1]
[1,3,1,5,1,3]=>[2,1,1,1,4,2]
[1,3,1,5,3,1]=>[2,1,1,2,6,1]
[1,3,3,1,1,5]=>[2,1,2,1,1,3]
[1,3,3,1,5,1]=>[2,1,2,1,3,1]
[1,3,3,5,1,1]=>[5,2,5,1,1,1]
[1,3,5,1,1,3]=>[2,1,3,1,1,2]
[1,3,5,1,3,1]=>[2,1,3,1,2,1]
[1,3,5,3,1,1]=>[2,1,6,2,1,1]
[1,5,1,1,3,3]=>[4,1,1,1,2,2]
[1,5,1,3,1,3]=>[5,1,1,2,1,2]
[1,5,1,3,3,1]=>[5,1,1,2,2,1]
[1,5,3,1,1,3]=>[3,1,2,1,1,2]
[1,5,3,1,3,1]=>[3,1,2,1,2,1]
[1,5,3,3,1,1]=>[6,1,2,2,1,1]
[3,1,1,1,3,5]=>[3,1,3,3,1,2]
[3,1,1,1,5,3]=>[4,1,4,4,2,1]
[3,1,1,3,1,5]=>[3,3,3,1,1,5]
[3,1,1,3,5,1]=>[4,1,4,1,2,4]
[3,1,1,5,1,3]=>[2,2,2,5,1,1]
[3,1,1,5,3,1]=>[3,1,3,2,1,3]
[3,1,3,1,1,5]=>[3,3,1,3,1,5]
[3,1,3,1,5,1]=>[3,3,1,5,1,3]
[3,1,3,5,1,1]=>[4,1,1,4,2,4]
[3,1,5,1,1,3]=>[2,2,5,2,1,1]
[3,1,5,1,3,1]=>[3,3,5,1,1,3]
[3,1,5,3,1,1]=>[3,1,2,3,1,3]
[3,3,1,1,1,5]=>[1,3,3,3,1,4]
[3,3,1,1,5,1]=>[1,3,3,4,1,3]
[3,3,1,5,1,1]=>[1,3,4,3,1,3]
[3,3,5,1,1,1]=>[1,1,4,4,3,4]
[3,5,1,1,1,3]=>[4,2,2,2,1,1]
[3,5,1,1,3,1]=>[4,3,3,1,1,3]
[3,5,1,3,1,1]=>[4,3,1,3,1,3]
[3,5,3,1,1,1]=>[2,1,3,3,1,3]
[5,1,1,1,3,3]=>[2,2,1,5,2,5]
[5,1,1,3,1,3]=>[2,5,1,2,2,5]
[5,1,1,3,3,1]=>[2,4,1,4,2,2]
[5,1,3,1,1,3]=>[5,2,1,2,2,5]
[5,1,3,1,3,1]=>[4,2,1,4,2,2]
[5,1,3,3,1,1]=>[4,4,1,2,2,2]
[5,3,1,1,1,3]=>[3,3,2,3,1,2]
[5,3,1,1,3,1]=>[3,3,2,2,1,3]
[5,3,1,3,1,1]=>[4,2,2,4,1,4]
[5,3,3,1,1,1]=>[2,4,2,4,1,4]
[1,1,1,3,3,6]=>[1,1,1,3,3,6]
[1,1,1,3,6,3]=>[1,1,1,5,3,3]
[1,1,1,6,3,3]=>[1,4,1,5,1,5]
[1,1,3,1,3,6]=>[1,1,3,1,3,6]
[1,1,3,1,6,3]=>[1,4,5,1,1,5]
[1,1,3,3,1,6]=>[1,1,3,3,1,4]
[1,1,3,3,6,1]=>[1,3,5,5,1,1]
[1,1,3,6,1,3]=>[1,1,3,4,1,3]
[1,1,3,6,3,1]=>[1,1,3,6,3,1]
[1,1,6,1,3,3]=>[1,1,5,1,3,3]
[1,1,6,3,1,3]=>[1,1,4,3,1,3]
[1,1,6,3,3,1]=>[1,1,6,3,3,1]
[1,3,1,1,3,6]=>[2,1,1,1,2,6]
[1,3,1,1,6,3]=>[5,4,1,1,1,5]
[1,3,1,3,1,6]=>[2,1,1,2,1,4]
[1,3,1,3,6,1]=>[5,3,1,5,1,1]
[1,3,1,6,1,3]=>[2,1,1,4,1,2]
[1,3,1,6,3,1]=>[2,1,1,6,2,1]
[1,3,3,1,1,6]=>[2,1,2,1,1,4]
[1,3,3,1,6,1]=>[2,1,2,3,1,1]
[1,3,3,6,1,1]=>[5,3,5,1,1,1]
[1,3,6,1,1,3]=>[2,1,4,1,1,2]
[1,3,6,1,3,1]=>[2,1,6,1,2,1]
[1,3,6,3,1,1]=>[2,1,3,2,1,1]
[1,6,1,1,3,3]=>[5,1,1,1,2,2]
[1,6,1,3,1,3]=>[4,1,1,2,1,2]
[1,6,1,3,3,1]=>[6,1,1,2,2,1]
[1,6,3,1,1,3]=>[4,1,2,1,1,2]
[1,6,3,1,3,1]=>[6,1,2,1,2,1]
[1,6,3,3,1,1]=>[3,1,2,2,1,1]
[3,1,1,1,3,6]=>[3,3,1,3,1,2]
[3,1,1,1,6,3]=>[4,4,1,4,2,1]
[3,1,1,3,1,6]=>[3,3,3,1,1,6]
[3,1,1,3,6,1]=>[4,4,1,1,2,4]
[3,1,1,6,1,3]=>[2,2,2,6,1,1]
[3,1,1,6,3,1]=>[3,3,1,2,1,3]
[3,1,3,1,1,6]=>[3,1,3,3,1,5]
[3,1,3,1,6,1]=>[3,1,3,5,1,3]
[3,1,3,6,1,1]=>[4,1,1,4,3,4]
[3,1,6,1,1,3]=>[2,5,2,2,1,1]
[3,1,6,1,3,1]=>[3,5,3,1,1,3]
[3,1,6,3,1,1]=>[3,2,1,3,1,3]
[3,3,1,1,1,6]=>[1,3,3,3,1,5]
[3,3,1,1,6,1]=>[1,3,3,5,1,3]
[3,3,1,6,1,1]=>[1,4,3,3,1,3]
[3,3,6,1,1,1]=>[1,4,1,4,3,4]
[3,6,1,1,1,3]=>[5,2,2,2,1,1]
[3,6,1,1,3,1]=>[5,3,3,1,1,3]
[3,6,1,3,1,1]=>[2,3,1,3,1,3]
[3,6,3,1,1,1]=>[4,1,3,3,1,3]
[6,1,1,1,3,3]=>[2,1,2,2,5,5]
[6,1,1,3,1,3]=>[2,1,4,2,2,4]
[6,1,1,3,3,1]=>[2,1,4,2,4,2]
[6,1,3,1,1,3]=>[4,1,2,2,2,4]
[6,1,3,1,3,1]=>[4,1,2,2,4,2]
[6,1,3,3,1,1]=>[3,1,3,2,2,2]
[6,3,1,1,1,3]=>[3,2,3,1,3,2]
[6,3,1,1,3,1]=>[3,2,3,1,2,3]
[6,3,1,3,1,1]=>[3,2,2,1,3,3]
[6,3,3,1,1,1]=>[2,2,4,1,4,4]
[1,1,1,3,4,4]=>[1,1,3,1,5,5]
[1,1,1,4,3,4]=>[1,3,1,1,5,3]
[1,1,1,4,4,3]=>[1,3,1,1,3,5]
[1,1,3,1,4,4]=>[1,1,1,3,4,4]
[1,1,3,4,1,4]=>[1,3,1,5,1,3]
[1,1,3,4,4,1]=>[1,3,1,5,3,1]
[1,1,4,1,3,4]=>[1,1,3,5,1,5]
[1,1,4,1,4,3]=>[1,3,1,3,1,5]
[1,1,4,3,1,4]=>[1,1,1,4,3,4]
[1,1,4,3,4,1]=>[1,3,1,3,5,1]
[1,1,4,4,1,3]=>[1,1,1,4,4,3]
[1,1,4,4,3,1]=>[1,1,3,5,5,1]
[1,3,1,1,4,4]=>[2,1,1,1,3,3]
[1,3,1,4,1,4]=>[2,1,1,3,1,3]
[1,3,1,4,4,1]=>[2,1,1,3,3,1]
[1,3,4,1,1,4]=>[5,2,1,1,1,2]
[1,3,4,1,4,1]=>[5,2,1,1,2,1]
[1,3,4,4,1,1]=>[5,2,1,2,1,1]
[1,4,1,1,3,4]=>[5,1,2,1,1,5]
[1,4,1,1,4,3]=>[2,2,1,1,1,6]
[1,4,1,3,1,4]=>[3,1,1,1,2,3]
[1,4,1,3,4,1]=>[2,2,1,1,6,1]
[1,4,1,4,1,3]=>[3,1,1,1,3,2]
[1,4,1,4,3,1]=>[5,1,2,1,5,1]
[1,4,3,1,1,4]=>[3,1,1,2,1,3]
[1,4,3,1,4,1]=>[3,1,1,2,3,1]
[1,4,3,4,1,1]=>[2,2,1,6,1,1]
[1,4,4,1,1,3]=>[3,1,1,3,1,2]
[1,4,4,1,3,1]=>[3,1,1,3,2,1]
[1,4,4,3,1,1]=>[5,1,2,5,1,1]
[3,1,1,1,4,4]=>[2,2,2,3,1,3]
[3,1,1,4,1,4]=>[2,2,3,2,1,3]
[3,1,1,4,4,1]=>[2,2,3,3,1,2]
[3,1,4,1,1,4]=>[2,3,2,2,1,3]
[3,1,4,1,4,1]=>[2,3,2,3,1,2]
[3,1,4,4,1,1]=>[2,3,3,2,1,2]
[3,4,1,1,1,4]=>[1,3,3,3,2,2]
[3,4,1,1,4,1]=>[1,4,4,2,2,4]
[3,4,1,4,1,1]=>[1,4,2,4,2,4]
[3,4,4,1,1,1]=>[1,2,4,4,2,4]
[4,1,1,1,3,4]=>[4,4,4,3,1,1]
[4,1,1,1,4,3]=>[2,2,2,1,3,1]
[4,1,1,3,1,4]=>[2,2,3,1,2,1]
[4,1,1,3,4,1]=>[2,2,6,1,1,2]
[4,1,1,4,1,3]=>[3,3,1,1,6,3]
[4,1,1,4,3,1]=>[4,4,1,3,4,1]
[4,1,3,1,1,4]=>[2,3,2,1,2,1]
[4,1,3,1,4,1]=>[2,6,2,1,1,2]
[4,1,3,4,1,1]=>[3,6,1,1,3,3]
[4,1,4,1,1,3]=>[3,1,3,1,6,3]
[4,1,4,1,3,1]=>[3,1,6,1,3,3]
[4,1,4,3,1,1]=>[4,1,4,3,4,1]
[4,3,1,1,1,4]=>[3,2,2,1,2,1]
[4,3,1,1,4,1]=>[6,2,2,1,1,2]
[4,3,1,4,1,1]=>[6,3,1,1,3,3]
[4,3,4,1,1,1]=>[6,1,3,1,3,3]
[4,4,1,1,1,3]=>[1,3,3,1,6,3]
[4,4,1,1,3,1]=>[1,3,6,1,3,3]
[4,4,1,3,1,1]=>[1,6,3,1,3,3]
[4,4,3,1,1,1]=>[1,4,4,3,4,1]
[1,1,1,3,4,5]=>[1,1,3,5,1,6]
[1,1,1,3,5,4]=>[1,1,5,3,1,6]
[1,1,1,4,3,5]=>[1,3,1,5,1,6]
[1,1,1,4,5,3]=>[1,5,1,3,1,6]
[1,1,1,5,3,4]=>[1,3,5,1,1,6]
[1,1,1,5,4,3]=>[1,5,3,1,1,6]
[1,1,3,1,4,5]=>[1,1,1,4,3,6]
[1,1,3,1,5,4]=>[1,1,4,1,3,6]
[1,1,3,4,1,5]=>[1,3,1,1,5,4]
[1,1,3,4,5,1]=>[1,5,3,1,6,1]
[1,1,3,5,1,4]=>[1,4,1,1,6,3]
[1,1,3,5,4,1]=>[1,5,1,3,6,1]
[1,1,4,1,3,5]=>[1,1,1,3,4,5]
[1,1,4,1,5,3]=>[1,4,1,1,3,6]
[1,1,4,3,1,5]=>[1,1,3,1,5,4]
[1,1,4,3,5,1]=>[1,3,5,1,6,1]
[1,1,4,5,1,3]=>[1,1,4,1,6,3]
[1,1,4,5,3,1]=>[1,1,5,3,6,1]
[1,1,5,1,3,4]=>[1,1,3,1,4,5]
[1,1,5,1,4,3]=>[1,3,1,1,4,5]
[1,1,5,3,1,4]=>[1,1,1,3,5,4]
[1,1,5,3,4,1]=>[1,3,1,5,6,1]
[1,1,5,4,1,3]=>[1,1,1,4,6,3]
[1,1,5,4,3,1]=>[1,1,3,5,6,1]
[1,3,1,1,4,5]=>[2,1,1,3,1,6]
[1,3,1,1,5,4]=>[2,1,3,1,1,6]
[1,3,1,4,1,5]=>[2,1,1,1,3,4]
[1,3,1,4,5,1]=>[2,1,3,1,6,1]
[1,3,1,5,1,4]=>[2,1,1,1,4,3]
[1,3,1,5,4,1]=>[2,1,1,3,6,1]
[1,3,4,1,1,5]=>[5,2,1,1,1,3]
[1,3,4,1,5,1]=>[5,2,1,1,3,1]
[1,3,4,5,1,1]=>[6,5,2,1,1,1]
[1,3,5,1,1,4]=>[6,3,1,1,1,2]
[1,3,5,1,4,1]=>[6,3,1,1,2,1]
[1,3,5,4,1,1]=>[6,5,1,2,1,1]
[1,4,1,1,3,5]=>[3,1,1,2,1,5]
[1,4,1,1,5,3]=>[2,3,1,1,1,6]
[1,4,1,3,1,5]=>[3,1,1,1,2,4]
[1,4,1,3,5,1]=>[2,3,1,1,6,1]
[1,4,1,5,1,3]=>[3,1,1,1,4,2]
[1,4,1,5,3,1]=>[3,1,1,2,5,1]
[1,4,3,1,1,5]=>[5,1,2,1,1,3]
[1,4,3,1,5,1]=>[5,1,2,1,3,1]
[1,4,3,5,1,1]=>[6,2,5,1,1,1]
[1,4,5,1,1,3]=>[6,1,3,1,1,2]
[1,4,5,1,3,1]=>[6,1,3,1,2,1]
[1,4,5,3,1,1]=>[6,1,5,2,1,1]
[1,5,1,1,3,4]=>[3,1,2,1,1,5]
[1,5,1,1,4,3]=>[3,2,1,1,1,5]
[1,5,1,3,1,4]=>[4,1,1,1,2,3]
[1,5,1,3,4,1]=>[3,2,1,1,5,1]
[1,5,1,4,1,3]=>[4,1,1,1,3,2]
[1,5,1,4,3,1]=>[3,1,2,1,5,1]
[1,5,3,1,1,4]=>[5,1,1,2,1,3]
[1,5,3,1,4,1]=>[5,1,1,2,3,1]
[1,5,3,4,1,1]=>[6,2,1,5,1,1]
[1,5,4,1,1,3]=>[6,1,1,3,1,2]
[1,5,4,1,3,1]=>[6,1,1,3,2,1]
[1,5,4,3,1,1]=>[6,1,2,5,1,1]
[3,1,1,1,4,5]=>[2,3,2,2,1,6]
[3,1,1,1,5,4]=>[3,2,2,2,1,6]
[3,1,1,4,1,5]=>[2,2,2,3,1,4]
[3,1,1,4,5,1]=>[3,2,2,6,1,2]
[3,1,1,5,1,4]=>[2,2,2,4,1,3]
[3,1,1,5,4,1]=>[2,3,2,6,1,2]
[3,1,4,1,1,5]=>[2,2,3,2,1,4]
[3,1,4,1,5,1]=>[2,2,3,4,1,2]
[3,1,4,5,1,1]=>[3,2,6,2,1,2]
[3,1,5,1,1,4]=>[2,2,4,2,1,3]
[3,1,5,1,4,1]=>[2,2,4,3,1,2]
[3,1,5,4,1,1]=>[2,3,6,2,1,2]
[3,4,1,1,1,5]=>[1,3,3,3,2,4]
[3,4,1,1,5,1]=>[1,3,3,4,2,3]
[3,4,1,5,1,1]=>[1,3,4,3,2,3]
[3,4,5,1,1,1]=>[1,2,4,4,3,4]
[3,5,1,1,1,4]=>[3,1,3,3,2,4]
[3,5,1,1,4,1]=>[3,1,3,4,2,3]
[3,5,1,4,1,1]=>[3,1,4,3,2,3]
[3,5,4,1,1,1]=>[2,1,4,4,3,4]
[4,1,1,1,3,5]=>[5,2,2,1,6,2]
[4,1,1,1,5,3]=>[2,2,2,1,6,3]
[4,1,1,3,1,5]=>[2,2,6,1,2,3]
[4,1,1,3,5,1]=>[2,2,5,1,3,2]
[4,1,1,5,1,3]=>[2,2,3,1,5,2]
[4,1,1,5,3,1]=>[5,2,6,1,2,2]
[4,1,3,1,1,5]=>[2,6,2,1,2,3]
[4,1,3,1,5,1]=>[2,5,2,1,3,2]
[4,1,3,5,1,1]=>[2,5,3,1,2,2]
[4,1,5,1,1,3]=>[2,3,2,1,5,2]
[4,1,5,1,3,1]=>[2,3,5,1,2,2]
[4,1,5,3,1,1]=>[5,6,2,1,2,2]
[4,3,1,1,1,5]=>[2,4,4,3,4,1]
[4,3,1,1,5,1]=>[3,3,3,2,4,1]
[4,3,1,5,1,1]=>[3,3,4,2,3,1]
[4,3,5,1,1,1]=>[3,4,3,2,3,1]
[4,5,1,1,1,3]=>[1,3,3,2,6,3]
[4,5,1,1,3,1]=>[1,3,6,2,3,3]
[4,5,1,3,1,1]=>[1,6,3,2,3,3]
[4,5,3,1,1,1]=>[1,4,4,3,4,2]
[5,1,1,1,3,4]=>[2,2,1,6,2,5]
[5,1,1,1,4,3]=>[2,2,1,6,5,2]
[5,1,1,3,1,4]=>[2,6,1,2,5,2]
[5,1,1,3,4,1]=>[2,4,1,5,2,2]
[5,1,1,4,1,3]=>[2,6,1,2,2,5]
[5,1,1,4,3,1]=>[2,5,1,4,2,2]
[5,1,3,1,1,4]=>[6,2,1,2,5,2]
[5,1,3,1,4,1]=>[4,2,1,5,2,2]
[5,1,3,4,1,1]=>[4,5,1,2,2,2]
[5,1,4,1,1,3]=>[6,2,1,2,2,5]
[5,1,4,1,3,1]=>[5,2,1,4,2,2]
[5,1,4,3,1,1]=>[5,4,1,2,2,2]
[5,3,1,1,1,4]=>[4,4,3,4,1,2]
[5,3,1,1,4,1]=>[3,3,2,6,1,3]
[5,3,1,4,1,1]=>[3,6,2,3,1,3]
[5,3,4,1,1,1]=>[6,3,2,3,1,3]
[5,4,1,1,1,3]=>[4,4,3,4,2,1]
[5,4,1,1,3,1]=>[3,3,2,6,3,1]
[5,4,1,3,1,1]=>[3,6,2,3,3,1]
[5,4,3,1,1,1]=>[6,3,2,3,3,1]
[1,1,1,3,4,6]=>[1,1,3,1,5,6]
[1,1,1,3,6,4]=>[1,1,5,1,3,6]
[1,1,1,4,3,6]=>[1,3,1,1,5,6]
[1,1,1,4,6,3]=>[1,5,1,1,3,6]
[1,1,1,6,3,4]=>[1,4,5,1,1,6]
[1,1,1,6,4,3]=>[1,5,4,1,1,6]
[1,1,3,1,4,6]=>[1,1,1,3,4,6]
[1,1,3,1,6,4]=>[1,1,4,3,1,6]
[1,1,3,4,1,6]=>[1,3,1,5,1,4]
[1,1,3,4,6,1]=>[1,5,3,6,1,1]
[1,1,3,6,1,4]=>[1,4,1,6,1,3]
[1,1,3,6,4,1]=>[1,5,1,6,3,1]
[1,1,4,1,3,6]=>[1,1,1,4,3,5]
[1,1,4,1,6,3]=>[1,4,1,3,1,6]
[1,1,4,3,1,6]=>[1,1,3,5,1,4]
[1,1,4,3,6,1]=>[1,3,5,6,1,1]
[1,1,4,6,1,3]=>[1,1,4,6,1,3]
[1,1,4,6,3,1]=>[1,1,5,6,3,1]
[1,1,6,1,3,4]=>[1,1,3,4,1,5]
[1,1,6,1,4,3]=>[1,3,1,4,1,5]
[1,1,6,3,1,4]=>[1,1,1,5,3,4]
[1,1,6,3,4,1]=>[1,3,1,6,5,1]
[1,1,6,4,1,3]=>[1,1,1,6,4,3]
[1,1,6,4,3,1]=>[1,1,3,6,5,1]
[1,3,1,1,4,6]=>[2,1,1,1,3,6]
[1,3,1,1,6,4]=>[2,1,4,1,1,6]
[1,3,1,4,1,6]=>[2,1,1,3,1,4]
[1,3,1,4,6,1]=>[2,1,3,6,1,1]
[1,3,1,6,1,4]=>[2,1,1,4,1,3]
[1,3,1,6,4,1]=>[2,1,1,6,3,1]
[1,3,4,1,1,6]=>[5,2,1,1,1,4]
[1,3,4,1,6,1]=>[5,2,1,3,1,1]
[1,3,4,6,1,1]=>[6,5,3,1,1,1]
[1,3,6,1,1,4]=>[6,4,1,1,1,2]
[1,3,6,1,4,1]=>[6,5,1,1,2,1]
[1,3,6,4,1,1]=>[6,3,1,2,1,1]
[1,4,1,1,3,6]=>[3,1,1,1,2,5]
[1,4,1,1,6,3]=>[2,4,1,1,1,6]
[1,4,1,3,1,6]=>[3,1,1,2,1,4]
[1,4,1,3,6,1]=>[2,3,1,6,1,1]
[1,4,1,6,1,3]=>[3,1,1,4,1,2]
[1,4,1,6,3,1]=>[3,1,1,5,2,1]
[1,4,3,1,1,6]=>[5,1,2,1,1,4]
[1,4,3,1,6,1]=>[5,1,2,3,1,1]
[1,4,3,6,1,1]=>[6,3,5,1,1,1]
[1,4,6,1,1,3]=>[6,1,4,1,1,2]
[1,4,6,1,3,1]=>[6,1,5,1,2,1]
[1,4,6,3,1,1]=>[6,1,3,2,1,1]
[1,6,1,1,3,4]=>[4,1,2,1,1,5]
[1,6,1,1,4,3]=>[4,2,1,1,1,5]
[1,6,1,3,1,4]=>[5,1,1,1,2,3]
[1,6,1,3,4,1]=>[6,2,1,1,5,1]
[1,6,1,4,1,3]=>[6,1,1,1,3,2]
[1,6,1,4,3,1]=>[6,1,2,1,5,1]
[1,6,3,1,1,4]=>[4,1,1,2,1,3]
[1,6,3,1,4,1]=>[6,1,1,2,3,1]
[1,6,3,4,1,1]=>[3,2,1,5,1,1]
[1,6,4,1,1,3]=>[4,1,1,3,1,2]
[1,6,4,1,3,1]=>[5,1,1,3,2,1]
[1,6,4,3,1,1]=>[3,1,2,5,1,1]
[3,1,1,1,4,6]=>[2,2,3,2,1,6]
[3,1,1,1,6,4]=>[4,2,2,2,1,6]
[3,1,1,4,1,6]=>[2,2,2,3,1,5]
[3,1,1,4,6,1]=>[4,2,2,6,1,2]
[3,1,1,6,1,4]=>[2,2,2,5,1,3]
[3,1,1,6,4,1]=>[2,2,3,6,1,2]
[3,1,4,1,1,6]=>[2,3,2,2,1,4]
[3,1,4,1,6,1]=>[2,3,2,4,1,2]
[3,1,4,6,1,1]=>[3,6,2,2,1,2]
[3,1,6,1,1,4]=>[2,4,2,2,1,3]
[3,1,6,1,4,1]=>[2,4,2,3,1,2]
[3,1,6,4,1,1]=>[2,6,3,2,1,2]
[3,4,1,1,1,6]=>[1,3,3,3,2,5]
[3,4,1,1,6,1]=>[1,3,3,5,2,3]
[3,4,1,6,1,1]=>[1,4,3,3,2,3]
[3,4,6,1,1,1]=>[1,4,2,4,3,4]
[3,6,1,1,1,4]=>[3,3,1,3,2,4]
[3,6,1,1,4,1]=>[3,3,1,4,2,3]
[3,6,1,4,1,1]=>[2,4,1,4,3,4]
[3,6,4,1,1,1]=>[3,4,1,3,2,3]
[4,1,1,1,3,6]=>[2,5,2,1,6,2]
[4,1,1,1,6,3]=>[2,2,2,1,6,4]
[4,1,1,3,1,6]=>[2,2,6,1,2,4]
[4,1,1,3,6,1]=>[2,2,5,1,4,2]
[4,1,1,6,1,3]=>[2,2,4,1,5,2]
[4,1,1,6,3,1]=>[2,5,6,1,2,2]
[4,1,3,1,1,6]=>[6,2,2,1,2,3]
[4,1,3,1,6,1]=>[5,2,2,1,3,2]
[4,1,3,6,1,1]=>[5,2,3,1,2,2]
[4,1,6,1,1,3]=>[3,2,2,1,5,2]
[4,1,6,1,3,1]=>[3,2,5,1,2,2]
[4,1,6,3,1,1]=>[6,5,2,1,2,2]
[4,3,1,1,1,6]=>[4,2,4,3,4,1]
[4,3,1,1,6,1]=>[3,3,3,2,5,1]
[4,3,1,6,1,1]=>[3,3,5,2,3,1]
[4,3,6,1,1,1]=>[4,3,3,2,3,1]
[4,6,1,1,1,3]=>[3,1,3,2,6,3]
[4,6,1,1,3,1]=>[3,1,6,2,3,3]
[4,6,1,3,1,1]=>[4,1,4,3,4,2]
[4,6,3,1,1,1]=>[6,1,3,2,3,3]
[6,1,1,1,3,4]=>[2,1,2,2,5,6]
[6,1,1,1,4,3]=>[2,1,2,5,2,6]
[6,1,1,3,1,4]=>[2,1,4,2,2,5]
[6,1,1,3,4,1]=>[2,1,6,4,2,2]
[6,1,1,4,1,3]=>[2,1,5,2,2,4]
[6,1,1,4,3,1]=>[2,1,6,2,4,2]
[6,1,3,1,1,4]=>[4,1,2,2,2,5]
[6,1,3,1,4,1]=>[6,1,2,4,2,2]
[6,1,3,4,1,1]=>[3,1,4,2,2,2]
[6,1,4,1,1,3]=>[5,1,2,2,2,4]
[6,1,4,1,3,1]=>[6,1,2,2,4,2]
[6,1,4,3,1,1]=>[4,1,3,2,2,2]
[6,3,1,1,1,4]=>[3,2,3,1,3,6]
[6,3,1,1,4,1]=>[4,3,4,1,2,4]
[6,3,1,4,1,1]=>[3,2,5,1,3,3]
[6,3,4,1,1,1]=>[5,2,3,1,3,3]
[6,4,1,1,1,3]=>[3,2,3,3,1,6]
[6,4,1,1,3,1]=>[4,3,4,2,1,4]
[6,4,1,3,1,1]=>[3,2,5,3,1,3]
[6,4,3,1,1,1]=>[5,2,3,3,1,3]
[1,1,1,3,5,5]=>[1,1,1,3,5,5]
[1,1,1,5,3,5]=>[1,4,1,1,5,4]
[1,1,1,5,5,3]=>[1,4,1,1,4,5]
[1,1,3,1,5,5]=>[1,1,3,1,4,4]
[1,1,3,5,1,5]=>[1,3,5,1,1,3]
[1,1,3,5,5,1]=>[1,3,5,1,3,1]
[1,1,5,1,3,5]=>[1,1,5,3,1,5]
[1,1,5,1,5,3]=>[1,3,3,1,1,5]
[1,1,5,3,1,5]=>[1,1,4,1,3,4]
[1,1,5,3,5,1]=>[1,3,3,1,5,1]
[1,1,5,5,1,3]=>[1,1,4,1,4,3]
[1,1,5,5,3,1]=>[1,1,5,3,5,1]
[1,3,1,1,5,5]=>[2,1,1,1,4,4]
[1,3,1,5,1,5]=>[2,1,3,1,1,3]
[1,3,1,5,5,1]=>[2,1,3,1,3,1]
[1,3,5,1,1,5]=>[5,3,1,1,1,3]
[1,3,5,1,5,1]=>[5,3,1,1,3,1]
[1,3,5,5,1,1]=>[5,2,2,1,1,1]
[1,5,1,1,3,5]=>[5,1,1,2,1,5]
[1,5,1,1,5,3]=>[3,3,1,1,1,6]
[1,5,1,3,1,5]=>[4,1,1,1,2,4]
[1,5,1,3,5,1]=>[3,3,1,1,6,1]
[1,5,1,5,1,3]=>[4,1,1,1,4,2]
[1,5,1,5,3,1]=>[5,1,1,2,5,1]
[1,5,3,1,1,5]=>[3,1,2,1,1,3]
[1,5,3,1,5,1]=>[3,1,2,1,3,1]
[1,5,3,5,1,1]=>[2,2,6,1,1,1]
[1,5,5,1,1,3]=>[3,1,3,1,1,2]
[1,5,5,1,3,1]=>[3,1,3,1,2,1]
[1,5,5,3,1,1]=>[5,1,5,2,1,1]
[3,1,1,1,5,5]=>[2,2,2,4,1,4]
[3,1,1,5,1,5]=>[2,2,4,2,1,4]
[3,1,1,5,5,1]=>[2,2,4,4,1,2]
[3,1,5,1,1,5]=>[3,2,2,2,1,3]
[3,1,5,1,5,1]=>[3,2,2,3,1,2]
[3,1,5,5,1,1]=>[3,2,3,2,1,2]
[3,5,1,1,1,5]=>[3,1,3,3,2,2]
[3,5,1,1,5,1]=>[4,1,4,2,2,4]
[3,5,1,5,1,1]=>[4,1,2,4,2,4]
[3,5,5,1,1,1]=>[2,1,4,4,2,4]
[5,1,1,1,3,5]=>[4,4,2,4,1,1]
[5,1,1,1,5,3]=>[2,2,1,2,1,3]
[5,1,1,3,1,5]=>[2,2,1,6,2,1]
[5,1,1,3,5,1]=>[2,2,1,3,1,2]
[5,1,1,5,1,3]=>[2,2,1,1,2,6]
[5,1,1,5,3,1]=>[4,4,3,1,1,4]
[5,1,3,1,1,5]=>[2,6,1,2,2,1]
[5,1,3,1,5,1]=>[2,3,1,2,1,2]
[5,1,3,5,1,1]=>[2,5,1,1,2,2]
[5,1,5,1,1,3]=>[3,1,1,3,3,6]
[5,1,5,1,3,1]=>[3,1,1,5,3,3]
[5,1,5,3,1,1]=>[4,1,3,4,1,4]
[5,3,1,1,1,5]=>[6,2,1,2,2,1]
[5,3,1,1,5,1]=>[3,2,1,2,1,2]
[5,3,1,5,1,1]=>[5,2,1,1,2,2]
[5,3,5,1,1,1]=>[5,1,1,3,3,3]
[5,5,1,1,1,3]=>[1,3,1,3,3,6]
[5,5,1,1,3,1]=>[1,3,1,5,3,3]
[5,5,1,3,1,1]=>[1,5,1,3,3,3]
[5,5,3,1,1,1]=>[1,4,3,4,1,4]
[1,1,1,3,5,6]=>[1,1,1,3,5,6]
[1,1,1,3,6,5]=>[1,1,1,5,3,6]
[1,1,1,5,3,6]=>[1,4,1,1,5,6]
[1,1,1,5,6,3]=>[1,5,1,1,4,6]
[1,1,1,6,3,5]=>[1,4,1,5,1,6]
[1,1,1,6,5,3]=>[1,5,1,4,1,6]
[1,1,3,1,5,6]=>[1,1,3,1,4,6]
[1,1,3,1,6,5]=>[1,1,3,4,1,6]
[1,1,3,5,1,6]=>[1,3,5,1,1,4]
[1,1,3,5,6,1]=>[1,5,6,3,1,1]
[1,1,3,6,1,5]=>[1,4,6,1,1,3]
[1,1,3,6,5,1]=>[1,5,6,1,3,1]
[1,1,5,1,3,6]=>[1,1,4,1,3,5]
[1,1,5,1,6,3]=>[1,4,3,1,1,6]
[1,1,5,3,1,6]=>[1,1,5,3,1,4]
[1,1,5,3,6,1]=>[1,3,6,5,1,1]
[1,1,5,6,1,3]=>[1,1,6,4,1,3]
[1,1,5,6,3,1]=>[1,1,6,5,3,1]
[1,1,6,1,3,5]=>[1,1,4,3,1,5]
[1,1,6,1,5,3]=>[1,3,4,1,1,5]
[1,1,6,3,1,5]=>[1,1,5,1,3,4]
[1,1,6,3,5,1]=>[1,3,6,1,5,1]
[1,1,6,5,1,3]=>[1,1,6,1,4,3]
[1,1,6,5,3,1]=>[1,1,6,3,5,1]
[1,3,1,1,5,6]=>[2,1,1,1,4,6]
[1,3,1,1,6,5]=>[2,1,1,4,1,6]
[1,3,1,5,1,6]=>[2,1,3,1,1,4]
[1,3,1,5,6,1]=>[2,1,6,3,1,1]
[1,3,1,6,1,5]=>[2,1,4,1,1,3]
[1,3,1,6,5,1]=>[2,1,6,1,3,1]
[1,3,5,1,1,6]=>[5,3,1,1,1,4]
[1,3,5,1,6,1]=>[6,5,1,3,1,1]
[1,3,5,6,1,1]=>[5,2,3,1,1,1]
[1,3,6,1,1,5]=>[6,4,1,1,1,3]
[1,3,6,1,5,1]=>[6,5,1,1,3,1]
[1,3,6,5,1,1]=>[6,3,2,1,1,1]
[1,5,1,1,3,6]=>[4,1,1,1,2,5]
[1,5,1,1,6,3]=>[3,4,1,1,1,6]
[1,5,1,3,1,6]=>[5,1,1,2,1,4]
[1,5,1,3,6,1]=>[6,3,1,5,1,1]
[1,5,1,6,1,3]=>[6,1,1,4,1,2]
[1,5,1,6,3,1]=>[6,1,1,5,2,1]
[1,5,3,1,1,6]=>[3,1,2,1,1,4]
[1,5,3,1,6,1]=>[6,1,2,3,1,1]
[1,5,3,6,1,1]=>[2,3,6,1,1,1]
[1,5,6,1,1,3]=>[3,1,4,1,1,2]
[1,5,6,1,3,1]=>[3,1,5,1,2,1]
[1,5,6,3,1,1]=>[5,1,3,2,1,1]
[1,6,1,1,3,5]=>[4,1,1,2,1,5]
[1,6,1,1,5,3]=>[4,3,1,1,1,5]
[1,6,1,3,1,5]=>[5,1,1,1,2,4]
[1,6,1,3,5,1]=>[6,3,1,1,5,1]
[1,6,1,5,1,3]=>[6,1,1,1,4,2]
[1,6,1,5,3,1]=>[6,1,1,2,5,1]
[1,6,3,1,1,5]=>[4,1,2,1,1,3]
[1,6,3,1,5,1]=>[6,1,2,1,3,1]
[1,6,3,5,1,1]=>[3,2,5,1,1,1]
[1,6,5,1,1,3]=>[4,1,3,1,1,2]
[1,6,5,1,3,1]=>[5,1,3,1,2,1]
[1,6,5,3,1,1]=>[3,1,5,2,1,1]
[3,1,1,1,5,6]=>[2,2,4,2,1,6]
[3,1,1,1,6,5]=>[2,4,2,2,1,6]
[3,1,1,5,1,6]=>[2,2,2,4,1,5]
[3,1,1,5,6,1]=>[2,4,2,6,1,2]
[3,1,1,6,1,5]=>[2,2,2,5,1,4]
[3,1,1,6,5,1]=>[2,2,4,6,1,2]
[3,1,5,1,1,6]=>[3,2,2,2,1,4]
[3,1,5,1,6,1]=>[3,2,2,4,1,2]
[3,1,5,6,1,1]=>[6,3,2,2,1,2]
[3,1,6,1,1,5]=>[4,2,2,2,1,3]
[3,1,6,1,5,1]=>[4,2,2,3,1,2]
[3,1,6,5,1,1]=>[6,2,3,2,1,2]
[3,5,1,1,1,6]=>[3,1,3,3,2,5]
[3,5,1,1,6,1]=>[3,1,3,5,2,3]
[3,5,1,6,1,1]=>[4,1,2,4,3,4]
[3,5,6,1,1,1]=>[4,1,3,3,2,3]
[3,6,1,1,1,5]=>[3,3,1,3,2,5]
[3,6,1,1,5,1]=>[3,3,1,5,2,3]
[3,6,1,5,1,1]=>[4,2,1,4,3,4]
[3,6,5,1,1,1]=>[4,3,1,3,2,3]
[5,1,1,1,3,6]=>[5,2,1,2,2,6]
[5,1,1,1,6,3]=>[2,2,1,2,3,6]
[5,1,1,3,1,6]=>[2,2,1,5,2,3]
[5,1,1,3,6,1]=>[2,2,1,6,3,2]
[5,1,1,6,1,3]=>[2,2,1,3,2,5]
[5,1,1,6,3,1]=>[4,2,1,6,2,2]
[5,1,3,1,1,6]=>[2,5,1,2,2,3]
[5,1,3,1,6,1]=>[2,6,1,2,3,2]
[5,1,3,6,1,1]=>[2,4,1,3,2,2]
[5,1,6,1,1,3]=>[2,3,1,2,2,5]
[5,1,6,1,3,1]=>[2,3,1,4,2,2]
[5,1,6,3,1,1]=>[4,6,1,2,2,2]
[5,3,1,1,1,6]=>[3,3,2,3,1,4]
[5,3,1,1,6,1]=>[2,4,3,4,1,4]
[5,3,1,6,1,1]=>[3,3,2,4,1,3]
[5,3,6,1,1,1]=>[3,4,2,3,1,3]
[5,6,1,1,1,3]=>[1,3,2,3,3,6]
[5,6,1,1,3,1]=>[1,3,2,5,3,3]
[5,6,1,3,1,1]=>[1,5,2,3,3,3]
[5,6,3,1,1,1]=>[1,4,3,4,2,4]
[6,1,1,1,3,5]=>[2,1,2,2,6,5]
[6,1,1,1,5,3]=>[2,1,2,5,6,2]
[6,1,1,3,1,5]=>[2,1,4,2,5,2]
[6,1,1,3,5,1]=>[2,1,6,5,2,2]
[6,1,1,5,1,3]=>[2,1,6,2,2,4]
[6,1,1,5,3,1]=>[2,1,5,2,4,2]
[6,1,3,1,1,5]=>[4,1,2,2,5,2]
[6,1,3,1,5,1]=>[6,1,2,5,2,2]
[6,1,3,5,1,1]=>[3,1,5,2,2,2]
[6,1,5,1,1,3]=>[6,1,2,2,2,4]
[6,1,5,1,3,1]=>[5,1,2,2,4,2]
[6,1,5,3,1,1]=>[5,1,3,2,2,2]
[6,3,1,1,1,5]=>[3,2,3,1,6,3]
[6,3,1,1,5,1]=>[4,3,4,1,4,2]
[6,3,1,5,1,1]=>[3,2,6,1,3,3]
[6,3,5,1,1,1]=>[6,2,3,1,3,3]
[6,5,1,1,1,3]=>[4,3,4,2,4,1]
[6,5,1,1,3,1]=>[3,2,3,3,6,1]
[6,5,1,3,1,1]=>[3,2,5,3,3,1]
[6,5,3,1,1,1]=>[5,2,3,3,3,1]
[1,1,1,4,4,4]=>[1,1,1,4,4,4]
[1,1,4,1,4,4]=>[1,3,1,1,3,3]
[1,1,4,4,1,4]=>[1,3,1,3,1,3]
[1,1,4,4,4,1]=>[1,3,1,3,3,1]
[1,4,1,1,4,4]=>[3,1,1,1,3,3]
[1,4,1,4,1,4]=>[3,1,1,3,1,3]
[1,4,1,4,4,1]=>[3,1,1,3,3,1]
[1,4,4,1,1,4]=>[2,2,1,1,1,2]
[1,4,4,1,4,1]=>[2,2,1,1,2,1]
[1,4,4,4,1,1]=>[2,2,1,2,1,1]
[4,1,1,1,4,4]=>[2,2,2,1,1,1]
[4,1,1,4,1,4]=>[3,3,1,1,3,1]
[4,1,1,4,4,1]=>[3,3,1,1,1,3]
[4,1,4,1,1,4]=>[3,1,3,1,3,1]
[4,1,4,1,4,1]=>[3,1,3,1,1,3]
[4,1,4,4,1,1]=>[4,1,1,1,4,4]
[4,4,1,1,1,4]=>[1,3,3,1,3,1]
[4,4,1,1,4,1]=>[1,3,3,1,1,3]
[4,4,1,4,1,1]=>[1,4,1,1,4,4]
[4,4,4,1,1,1]=>[1,1,4,1,4,4]
[1,1,1,4,4,5]=>[1,1,1,4,4,5]
[1,1,1,4,5,4]=>[1,1,1,4,5,4]
[1,1,1,5,4,4]=>[1,1,4,1,5,5]
[1,1,4,1,4,5]=>[1,3,1,3,1,6]
[1,1,4,1,5,4]=>[1,5,3,1,1,5]
[1,1,4,4,1,5]=>[1,3,1,1,3,4]
[1,1,4,4,5,1]=>[1,5,3,1,5,1]
[1,1,4,5,1,4]=>[1,3,1,1,4,3]
[1,1,4,5,4,1]=>[1,3,1,3,6,1]
[1,1,5,1,4,4]=>[1,4,1,1,3,3]
[1,1,5,4,1,4]=>[1,5,1,3,1,3]
[1,1,5,4,4,1]=>[1,5,1,3,3,1]
[1,4,1,1,4,5]=>[3,1,1,3,1,6]
[1,4,1,1,5,4]=>[5,1,3,1,1,5]
[1,4,1,4,1,5]=>[3,1,1,1,3,4]
[1,4,1,4,5,1]=>[5,1,3,1,5,1]
[1,4,1,5,1,4]=>[3,1,1,1,4,3]
[1,4,1,5,4,1]=>[3,1,1,3,6,1]
[1,4,4,1,1,5]=>[2,2,1,1,1,3]
[1,4,4,1,5,1]=>[2,2,1,1,3,1]
[1,4,4,5,1,1]=>[5,5,2,1,1,1]
[1,4,5,1,1,4]=>[2,3,1,1,1,2]
[1,4,5,1,4,1]=>[2,3,1,1,2,1]
[1,4,5,4,1,1]=>[2,6,1,2,1,1]
[1,5,1,1,4,4]=>[4,1,1,1,3,3]
[1,5,1,4,1,4]=>[5,1,1,3,1,3]
[1,5,1,4,4,1]=>[5,1,1,3,3,1]
[1,5,4,1,1,4]=>[3,2,1,1,1,2]
[1,5,4,1,4,1]=>[3,2,1,1,2,1]
[1,5,4,4,1,1]=>[6,2,1,2,1,1]
[4,1,1,1,4,5]=>[1,3,3,1,3,2]
[4,1,1,1,5,4]=>[1,4,4,2,4,1]
[4,1,1,4,1,5]=>[2,2,2,1,1,4]
[4,1,1,4,5,1]=>[1,4,4,2,1,4]
[4,1,1,5,1,4]=>[2,2,2,1,4,1]
[4,1,1,5,4,1]=>[1,3,3,1,2,3]
[4,1,4,1,1,5]=>[3,3,1,1,3,4]
[4,1,4,1,5,1]=>[3,3,1,1,4,3]
[4,1,4,5,1,1]=>[1,4,1,2,4,4]
[4,1,5,1,1,4]=>[2,2,4,1,2,1]
[4,1,5,1,4,1]=>[2,2,4,1,1,2]
[4,1,5,4,1,1]=>[1,3,2,1,3,3]
[4,4,1,1,1,5]=>[3,1,3,1,3,4]
[4,4,1,1,5,1]=>[3,1,3,1,4,3]
[4,4,1,5,1,1]=>[3,1,4,1,3,3]
[4,4,5,1,1,1]=>[1,1,4,2,4,4]
[4,5,1,1,1,4]=>[2,4,2,1,2,1]
[4,5,1,1,4,1]=>[2,4,2,1,1,2]
[4,5,1,4,1,1]=>[3,4,1,1,3,3]
[4,5,4,1,1,1]=>[1,2,3,1,3,3]
[5,1,1,1,4,4]=>[2,2,1,5,5,2]
[5,1,1,4,1,4]=>[2,5,1,2,5,2]
[5,1,1,4,4,1]=>[2,5,1,5,2,2]
[5,1,4,1,1,4]=>[5,2,1,2,5,2]
[5,1,4,1,4,1]=>[5,2,1,5,2,2]
[5,1,4,4,1,1]=>[5,5,1,2,2,2]
[5,4,1,1,1,4]=>[3,3,2,3,2,1]
[5,4,1,1,4,1]=>[3,3,2,2,3,1]
[5,4,1,4,1,1]=>[4,2,2,4,4,1]
[5,4,4,1,1,1]=>[2,4,2,4,4,1]
[1,1,1,4,4,6]=>[1,1,1,4,4,6]
[1,1,1,4,6,4]=>[1,1,1,5,4,4]
[1,1,1,6,4,4]=>[1,1,4,5,1,5]
[1,1,4,1,4,6]=>[1,3,1,1,3,6]
[1,1,4,1,6,4]=>[1,5,4,1,1,5]
[1,1,4,4,1,6]=>[1,3,1,3,1,4]
[1,1,4,4,6,1]=>[1,5,3,5,1,1]
[1,1,4,6,1,4]=>[1,3,1,4,1,3]
[1,1,4,6,4,1]=>[1,3,1,6,3,1]
[1,1,6,1,4,4]=>[1,5,1,1,3,3]
[1,1,6,4,1,4]=>[1,4,1,3,1,3]
[1,1,6,4,4,1]=>[1,6,1,3,3,1]
[1,4,1,1,4,6]=>[3,1,1,1,3,6]
[1,4,1,1,6,4]=>[5,1,4,1,1,5]
[1,4,1,4,1,6]=>[3,1,1,3,1,4]
[1,4,1,4,6,1]=>[5,1,3,5,1,1]
[1,4,1,6,1,4]=>[3,1,1,4,1,3]
[1,4,1,6,4,1]=>[3,1,1,6,3,1]
[1,4,4,1,1,6]=>[2,2,1,1,1,4]
[1,4,4,1,6,1]=>[2,2,1,3,1,1]
[1,4,4,6,1,1]=>[5,5,3,1,1,1]
[1,4,6,1,1,4]=>[2,4,1,1,1,2]
[1,4,6,1,4,1]=>[2,6,1,1,2,1]
[1,4,6,4,1,1]=>[2,3,1,2,1,1]
[1,6,1,1,4,4]=>[5,1,1,1,3,3]
[1,6,1,4,1,4]=>[4,1,1,3,1,3]
[1,6,1,4,4,1]=>[6,1,1,3,3,1]
[1,6,4,1,1,4]=>[4,2,1,1,1,2]
[1,6,4,1,4,1]=>[6,2,1,1,2,1]
[1,6,4,4,1,1]=>[3,2,1,2,1,1]
[4,1,1,1,4,6]=>[3,1,3,1,3,2]
[4,1,1,1,6,4]=>[4,1,4,2,4,1]
[4,1,1,4,1,6]=>[2,2,2,1,1,5]
[4,1,1,4,6,1]=>[4,1,4,2,1,4]
[4,1,1,6,1,4]=>[2,2,2,1,5,1]
[4,1,1,6,4,1]=>[3,1,3,1,2,3]
[4,1,4,1,1,6]=>[3,3,1,1,3,5]
[4,1,4,1,6,1]=>[3,3,1,1,5,3]
[4,1,4,6,1,1]=>[4,1,1,2,4,4]
[4,1,6,1,1,4]=>[2,2,5,1,2,1]
[4,1,6,1,4,1]=>[2,2,5,1,1,2]
[4,1,6,4,1,1]=>[3,1,2,1,3,3]
[4,4,1,1,1,6]=>[1,3,3,1,3,4]
[4,4,1,1,6,1]=>[1,3,3,1,4,3]
[4,4,1,6,1,1]=>[1,3,4,1,3,3]
[4,4,6,1,1,1]=>[1,1,4,3,4,4]
[4,6,1,1,1,4]=>[4,2,2,1,2,1]
[4,6,1,1,4,1]=>[4,2,2,1,1,2]
[4,6,1,4,1,1]=>[4,3,1,1,3,3]
[4,6,4,1,1,1]=>[2,1,3,1,3,3]
[6,1,1,1,4,4]=>[2,1,2,5,2,5]
[6,1,1,4,1,4]=>[2,1,5,2,2,5]
[6,1,1,4,4,1]=>[2,1,4,4,2,2]
[6,1,4,1,1,4]=>[5,1,2,2,2,5]
[6,1,4,1,4,1]=>[4,1,2,4,2,2]
[6,1,4,4,1,1]=>[4,1,4,2,2,2]
[6,4,1,1,1,4]=>[3,2,3,3,1,2]
[6,4,1,1,4,1]=>[3,2,3,2,1,3]
[6,4,1,4,1,1]=>[3,2,2,3,1,3]
[6,4,4,1,1,1]=>[2,2,4,4,1,4]
[1,1,1,4,5,5]=>[1,1,1,4,5,5]
[1,1,1,5,4,5]=>[1,1,4,1,5,4]
[1,1,1,5,5,4]=>[1,1,4,1,4,5]
[1,1,4,1,5,5]=>[1,3,1,1,4,4]
[1,1,4,5,1,5]=>[1,5,3,1,1,3]
[1,1,4,5,5,1]=>[1,5,3,1,3,1]
[1,1,5,1,4,5]=>[1,5,1,3,1,5]
[1,1,5,1,5,4]=>[1,3,3,1,1,6]
[1,1,5,4,1,5]=>[1,4,1,1,3,4]
[1,1,5,4,5,1]=>[1,3,3,1,6,1]
[1,1,5,5,1,4]=>[1,4,1,1,4,3]
[1,1,5,5,4,1]=>[1,5,1,3,5,1]
[1,4,1,1,5,5]=>[3,1,1,1,4,4]
[1,4,1,5,1,5]=>[5,1,3,1,1,3]
[1,4,1,5,5,1]=>[5,1,3,1,3,1]
[1,4,5,1,1,5]=>[2,3,1,1,1,3]
[1,4,5,1,5,1]=>[2,3,1,1,3,1]
[1,4,5,5,1,1]=>[6,2,2,1,1,1]
[1,5,1,1,4,5]=>[5,1,1,3,1,5]
[1,5,1,1,5,4]=>[3,1,3,1,1,6]
[1,5,1,4,1,5]=>[4,1,1,1,3,4]
[1,5,1,4,5,1]=>[3,1,3,1,6,1]
[1,5,1,5,1,4]=>[4,1,1,1,4,3]
[1,5,1,5,4,1]=>[5,1,1,3,5,1]
[1,5,4,1,1,5]=>[3,2,1,1,1,3]
[1,5,4,1,5,1]=>[3,2,1,1,3,1]
[1,5,4,5,1,1]=>[2,6,2,1,1,1]
[1,5,5,1,1,4]=>[3,3,1,1,1,2]
[1,5,5,1,4,1]=>[3,3,1,1,2,1]
[1,5,5,4,1,1]=>[5,5,1,2,1,1]
[4,1,1,1,5,5]=>[2,2,2,1,3,3]
[4,1,1,5,1,5]=>[2,2,3,1,2,3]
[4,1,1,5,5,1]=>[2,2,3,1,3,2]
[4,1,5,1,1,5]=>[2,3,2,1,2,3]
[4,1,5,1,5,1]=>[2,3,2,1,3,2]
[4,1,5,5,1,1]=>[2,3,3,1,2,2]
[4,5,1,1,1,5]=>[1,3,3,2,3,2]
[4,5,1,1,5,1]=>[1,3,3,2,2,3]
[4,5,1,5,1,1]=>[1,4,2,2,4,4]
[4,5,5,1,1,1]=>[1,2,4,2,4,4]
[5,1,1,1,4,5]=>[4,4,3,4,1,1]
[5,1,1,1,5,4]=>[2,2,1,2,3,1]
[5,1,1,4,1,5]=>[2,2,1,3,2,1]
[5,1,1,4,5,1]=>[2,2,1,6,1,2]
[5,1,1,5,1,4]=>[2,2,1,1,6,2]
[5,1,1,5,4,1]=>[4,4,3,1,4,1]
[5,1,4,1,1,5]=>[2,3,1,2,2,1]
[5,1,4,1,5,1]=>[2,6,1,2,1,2]
[5,1,4,5,1,1]=>[2,6,1,1,2,2]
[5,1,5,1,1,4]=>[3,1,1,3,6,3]
[5,1,5,1,4,1]=>[3,1,1,6,3,3]
[5,1,5,4,1,1]=>[4,1,3,4,4,1]
[5,4,1,1,1,5]=>[3,2,1,2,2,1]
[5,4,1,1,5,1]=>[6,2,1,2,1,2]
[5,4,1,5,1,1]=>[6,2,1,1,2,2]
[5,4,5,1,1,1]=>[6,1,1,3,3,3]
[5,5,1,1,1,4]=>[1,3,1,3,6,3]
[5,5,1,1,4,1]=>[1,3,1,6,3,3]
[5,5,1,4,1,1]=>[1,6,1,3,3,3]
[5,5,4,1,1,1]=>[1,4,3,4,4,1]
[1,1,1,4,5,6]=>[1,1,1,4,5,6]
[1,1,1,4,6,5]=>[1,1,1,5,4,6]
[1,1,1,5,4,6]=>[1,1,4,1,5,6]
[1,1,1,5,6,4]=>[1,1,5,1,4,6]
[1,1,1,6,4,5]=>[1,1,4,5,1,6]
[1,1,1,6,5,4]=>[1,1,5,4,1,6]
[1,1,4,1,5,6]=>[1,3,1,1,4,6]
[1,1,4,1,6,5]=>[1,3,1,4,1,6]
[1,1,4,5,1,6]=>[1,5,3,1,1,4]
[1,1,4,5,6,1]=>[1,6,5,3,1,1]
[1,1,4,6,1,5]=>[1,6,4,1,1,3]
[1,1,4,6,5,1]=>[1,6,5,1,3,1]
[1,1,5,1,4,6]=>[1,4,1,1,3,5]
[1,1,5,1,6,4]=>[1,3,4,1,1,6]
[1,1,5,4,1,6]=>[1,5,1,3,1,4]
[1,1,5,4,6,1]=>[1,6,3,5,1,1]
[1,1,5,6,1,4]=>[1,6,1,4,1,3]
[1,1,5,6,4,1]=>[1,6,1,5,3,1]
[1,1,6,1,4,5]=>[1,4,1,3,1,5]
[1,1,6,1,5,4]=>[1,4,3,1,1,5]
[1,1,6,4,1,5]=>[1,5,1,1,3,4]
[1,1,6,4,5,1]=>[1,6,3,1,5,1]
[1,1,6,5,1,4]=>[1,6,1,1,4,3]
[1,1,6,5,4,1]=>[1,6,1,3,5,1]
[1,4,1,1,5,6]=>[3,1,1,1,4,6]
[1,4,1,1,6,5]=>[3,1,1,4,1,6]
[1,4,1,5,1,6]=>[5,1,3,1,1,4]
[1,4,1,5,6,1]=>[6,1,5,3,1,1]
[1,4,1,6,1,5]=>[6,1,4,1,1,3]
[1,4,1,6,5,1]=>[6,1,5,1,3,1]
[1,4,5,1,1,6]=>[2,3,1,1,1,4]
[1,4,5,1,6,1]=>[2,6,1,3,1,1]
[1,4,5,6,1,1]=>[6,2,3,1,1,1]
[1,4,6,1,1,5]=>[2,4,1,1,1,3]
[1,4,6,1,5,1]=>[2,6,1,1,3,1]
[1,4,6,5,1,1]=>[5,3,2,1,1,1]
[1,5,1,1,4,6]=>[4,1,1,1,3,5]
[1,5,1,1,6,4]=>[3,1,4,1,1,6]
[1,5,1,4,1,6]=>[5,1,1,3,1,4]
[1,5,1,4,6,1]=>[6,1,3,5,1,1]
[1,5,1,6,1,4]=>[6,1,1,4,1,3]
[1,5,1,6,4,1]=>[6,1,1,5,3,1]
[1,5,4,1,1,6]=>[3,2,1,1,1,4]
[1,5,4,1,6,1]=>[6,2,1,3,1,1]
[1,5,4,6,1,1]=>[2,6,3,1,1,1]
[1,5,6,1,1,4]=>[3,4,1,1,1,2]
[1,5,6,1,4,1]=>[3,5,1,1,2,1]
[1,5,6,4,1,1]=>[5,3,1,2,1,1]
[1,6,1,1,4,5]=>[4,1,1,3,1,5]
[1,6,1,1,5,4]=>[4,1,3,1,1,5]
[1,6,1,4,1,5]=>[5,1,1,1,3,4]
[1,6,1,4,5,1]=>[6,1,3,1,5,1]
[1,6,1,5,1,4]=>[6,1,1,1,4,3]
[1,6,1,5,4,1]=>[6,1,1,3,5,1]
[1,6,4,1,1,5]=>[4,2,1,1,1,3]
[1,6,4,1,5,1]=>[6,2,1,1,3,1]
[1,6,4,5,1,1]=>[3,5,2,1,1,1]
[1,6,5,1,1,4]=>[4,3,1,1,1,2]
[1,6,5,1,4,1]=>[5,3,1,1,2,1]
[1,6,5,4,1,1]=>[3,5,1,2,1,1]
[4,1,1,1,5,6]=>[2,3,2,1,2,6]
[4,1,1,1,6,5]=>[3,2,2,1,2,6]
[4,1,1,5,1,6]=>[2,2,2,1,3,4]
[4,1,1,5,6,1]=>[3,2,2,1,6,2]
[4,1,1,6,1,5]=>[2,2,2,1,4,3]
[4,1,1,6,5,1]=>[2,3,2,1,6,2]
[4,1,5,1,1,6]=>[2,2,3,1,2,4]
[4,1,5,1,6,1]=>[2,2,3,1,4,2]
[4,1,5,6,1,1]=>[3,2,6,1,2,2]
[4,1,6,1,1,5]=>[2,2,4,1,2,3]
[4,1,6,1,5,1]=>[2,2,4,1,3,2]
[4,1,6,5,1,1]=>[2,3,6,1,2,2]
[4,5,1,1,1,6]=>[1,3,3,2,3,4]
[4,5,1,1,6,1]=>[1,3,3,2,4,3]
[4,5,1,6,1,1]=>[1,3,4,2,3,3]
[4,5,6,1,1,1]=>[1,2,4,3,4,4]
[4,6,1,1,1,5]=>[3,1,3,2,3,4]
[4,6,1,1,5,1]=>[3,1,3,2,4,3]
[4,6,1,5,1,1]=>[3,1,4,2,3,3]
[4,6,5,1,1,1]=>[2,1,4,3,4,4]
[5,1,1,1,4,6]=>[5,2,1,2,6,2]
[5,1,1,1,6,4]=>[2,2,1,2,6,3]
[5,1,1,4,1,6]=>[2,2,1,6,2,3]
[5,1,1,4,6,1]=>[2,2,1,5,3,2]
[5,1,1,6,1,4]=>[2,2,1,3,5,2]
[5,1,1,6,4,1]=>[5,2,1,6,2,2]
[5,1,4,1,1,6]=>[2,6,1,2,2,3]
[5,1,4,1,6,1]=>[2,5,1,2,3,2]
[5,1,4,6,1,1]=>[2,5,1,3,2,2]
[5,1,6,1,1,4]=>[2,3,1,2,5,2]
[5,1,6,1,4,1]=>[2,3,1,5,2,2]
[5,1,6,4,1,1]=>[5,6,1,2,2,2]
[5,4,1,1,1,6]=>[2,4,3,4,4,1]
[5,4,1,1,6,1]=>[3,3,2,3,4,1]
[5,4,1,6,1,1]=>[3,3,2,4,3,1]
[5,4,6,1,1,1]=>[3,4,2,3,3,1]
[5,6,1,1,1,4]=>[1,3,2,3,6,3]
[5,6,1,1,4,1]=>[1,3,2,6,3,3]
[5,6,1,4,1,1]=>[1,6,2,3,3,3]
[5,6,4,1,1,1]=>[1,4,3,4,4,2]
[6,1,1,1,4,5]=>[2,1,2,6,2,5]
[6,1,1,1,5,4]=>[2,1,2,6,5,2]
[6,1,1,4,1,5]=>[2,1,6,2,5,2]
[6,1,1,4,5,1]=>[2,1,4,5,2,2]
[6,1,1,5,1,4]=>[2,1,6,2,2,5]
[6,1,1,5,4,1]=>[2,1,5,4,2,2]
[6,1,4,1,1,5]=>[6,1,2,2,5,2]
[6,1,4,1,5,1]=>[4,1,2,5,2,2]
[6,1,4,5,1,1]=>[4,1,5,2,2,2]
[6,1,5,1,1,4]=>[6,1,2,2,2,5]
[6,1,5,1,4,1]=>[5,1,2,4,2,2]
[6,1,5,4,1,1]=>[5,1,4,2,2,2]
[6,4,1,1,1,5]=>[4,3,4,4,1,2]
[6,4,1,1,5,1]=>[3,2,3,6,1,3]
[6,4,1,5,1,1]=>[3,2,6,3,1,3]
[6,4,5,1,1,1]=>[6,2,3,3,1,3]
[6,5,1,1,1,4]=>[4,3,4,4,2,1]
[6,5,1,1,4,1]=>[3,2,3,6,3,1]
[6,5,1,4,1,1]=>[3,2,6,3,3,1]
[6,5,4,1,1,1]=>[6,2,3,3,3,1]
[1,1,2,2,2,2]=>[1,1,2,2,2,2]
[1,2,1,2,2,2]=>[1,2,1,2,2,2]
[1,2,2,1,2,2]=>[1,2,2,1,2,2]
[1,2,2,2,1,2]=>[1,2,2,2,1,2]
[1,2,2,2,2,1]=>[1,2,2,2,2,1]
[2,1,1,2,2,2]=>[5,5,1,1,1,1]
[2,1,2,1,2,2]=>[5,1,5,1,1,1]
[2,1,2,2,1,2]=>[5,1,1,5,1,1]
[2,1,2,2,2,1]=>[5,1,1,1,5,1]
[2,2,1,1,2,2]=>[1,5,5,1,1,1]
[2,2,1,2,1,2]=>[1,5,1,5,1,1]
[2,2,1,2,2,1]=>[1,5,1,1,5,1]
[2,2,2,1,1,2]=>[1,1,5,5,1,1]
[2,2,2,1,2,1]=>[1,1,5,1,5,1]
[2,2,2,2,1,1]=>[1,1,1,5,5,1]
[1,1,2,2,2,3]=>[1,2,1,2,2,4]
[1,1,2,2,3,2]=>[1,2,1,2,4,2]
[1,1,2,3,2,2]=>[1,2,1,4,2,2]
[1,1,3,2,2,2]=>[2,1,1,4,4,4]
[1,2,1,2,2,3]=>[1,2,2,1,2,4]
[1,2,1,2,3,2]=>[1,2,2,1,4,2]
[1,2,1,3,2,2]=>[2,1,4,1,4,4]
[1,2,2,1,2,3]=>[1,2,2,2,1,4]
[1,2,2,1,3,2]=>[2,1,4,4,1,4]
[1,2,2,2,1,3]=>[1,1,2,2,2,3]
[1,2,2,2,3,1]=>[2,1,4,4,4,1]
[1,2,2,3,1,2]=>[1,1,2,2,3,2]
[1,2,2,3,2,1]=>[1,2,2,2,4,1]
[1,2,3,1,2,2]=>[1,1,2,3,2,2]
[1,2,3,2,1,2]=>[1,2,2,4,1,2]
[1,2,3,2,2,1]=>[1,2,2,4,2,1]
[1,3,1,2,2,2]=>[1,1,3,2,2,2]
[1,3,2,1,2,2]=>[1,2,4,1,2,2]
[1,3,2,2,1,2]=>[1,2,4,2,1,2]
[1,3,2,2,2,1]=>[1,2,4,2,2,1]
[2,1,1,2,2,3]=>[1,5,5,1,1,2]
[2,1,1,2,3,2]=>[1,4,4,1,2,1]
[2,1,1,3,2,2]=>[1,4,4,2,1,1]
[2,1,2,1,2,3]=>[1,5,1,5,1,2]
[2,1,2,1,3,2]=>[1,4,1,4,2,1]
[2,1,2,2,1,3]=>[4,4,1,1,5,1]
[2,1,2,2,3,1]=>[1,5,1,1,5,2]
[2,1,2,3,1,2]=>[4,4,1,5,1,1]
[2,1,2,3,2,1]=>[1,4,1,2,4,1]
[2,1,3,1,2,2]=>[4,4,5,1,1,1]
[2,1,3,2,1,2]=>[1,4,2,4,1,1]
[2,1,3,2,2,1]=>[1,4,2,1,4,1]
[2,2,1,1,2,3]=>[1,1,5,5,1,2]
[2,2,1,1,3,2]=>[1,1,4,4,2,1]
[2,2,1,2,1,3]=>[4,1,4,1,5,1]
[2,2,1,2,3,1]=>[1,1,5,1,5,2]
[2,2,1,3,1,2]=>[4,1,4,5,1,1]
[2,2,1,3,2,1]=>[1,1,4,2,4,1]
[2,2,2,1,1,3]=>[4,1,1,4,5,1]
[2,2,2,1,3,1]=>[4,1,1,5,4,1]
[2,2,2,3,1,1]=>[1,1,1,5,5,2]
[2,2,3,1,1,2]=>[4,1,5,4,1,1]
[2,2,3,1,2,1]=>[4,1,5,1,4,1]
[2,2,3,2,1,1]=>[1,1,2,4,4,1]
[2,3,1,1,2,2]=>[4,5,4,1,1,1]
[2,3,1,2,1,2]=>[4,5,1,4,1,1]
[2,3,1,2,2,1]=>[4,5,1,1,4,1]
[2,3,2,1,1,2]=>[1,2,4,4,1,1]
[2,3,2,1,2,1]=>[1,2,4,1,4,1]
[2,3,2,2,1,1]=>[1,2,1,4,4,1]
[3,1,1,2,2,2]=>[2,4,4,4,1,2]
[3,1,2,1,2,2]=>[4,2,4,4,1,2]
[3,1,2,2,1,2]=>[4,4,2,4,1,2]
[3,1,2,2,2,1]=>[4,4,4,2,1,2]
[3,2,1,1,2,2]=>[5,5,2,2,2,1]
[3,2,1,2,1,2]=>[5,2,5,2,2,1]
[3,2,1,2,2,1]=>[5,2,2,5,2,1]
[3,2,2,1,1,2]=>[2,5,5,2,2,1]
[3,2,2,1,2,1]=>[2,5,2,5,2,1]
[3,2,2,2,1,1]=>[2,2,5,5,2,1]
[1,1,2,2,2,4]=>[1,1,2,2,2,4]
[1,1,2,2,4,2]=>[1,1,2,2,4,2]
[1,1,2,4,2,2]=>[1,1,2,4,2,2]
[1,1,4,2,2,2]=>[3,1,1,4,4,4]
[1,2,1,2,2,4]=>[1,2,2,1,2,5]
[1,2,1,2,4,2]=>[1,2,2,1,5,2]
[1,2,1,4,2,2]=>[2,4,1,1,4,4]
[1,2,2,1,2,4]=>[1,2,2,2,1,5]
[1,2,2,1,4,2]=>[2,4,1,4,1,4]
[1,2,2,2,1,4]=>[1,2,1,2,2,3]
[1,2,2,2,4,1]=>[2,4,1,4,4,1]
[1,2,2,4,1,2]=>[1,2,1,2,3,2]
[1,2,2,4,2,1]=>[1,2,2,2,5,1]
[1,2,4,1,2,2]=>[1,2,1,3,2,2]
[1,2,4,2,1,2]=>[1,2,2,5,1,2]
[1,2,4,2,2,1]=>[1,2,2,5,2,1]
[1,4,1,2,2,2]=>[1,3,1,2,2,2]
[1,4,2,1,2,2]=>[1,4,2,1,2,2]
[1,4,2,2,1,2]=>[1,4,2,2,1,2]
[1,4,2,2,2,1]=>[1,4,2,2,2,1]
[2,1,1,2,2,4]=>[5,1,5,1,1,2]
[2,1,1,2,4,2]=>[4,1,4,1,2,1]
[2,1,1,4,2,2]=>[4,1,4,2,1,1]
[2,1,2,1,2,4]=>[5,1,1,5,1,2]
[2,1,2,1,4,2]=>[4,1,1,4,2,1]
[2,1,2,2,1,4]=>[4,4,1,1,6,1]
[2,1,2,2,4,1]=>[5,1,1,1,5,2]
[2,1,2,4,1,2]=>[4,4,1,6,1,1]
[2,1,2,4,2,1]=>[4,1,1,2,4,1]
[2,1,4,1,2,2]=>[4,4,6,1,1,1]
[2,1,4,2,1,2]=>[4,1,2,4,1,1]
[2,1,4,2,2,1]=>[4,1,2,1,4,1]
[2,2,1,1,2,4]=>[1,1,5,5,1,3]
[2,2,1,1,4,2]=>[1,1,4,4,3,1]
[2,2,1,2,1,4]=>[1,4,4,1,5,1]
[2,2,1,2,4,1]=>[1,1,5,1,5,3]
[2,2,1,4,1,2]=>[1,4,4,5,1,1]
[2,2,1,4,2,1]=>[1,1,4,3,4,1]
[2,2,2,1,1,4]=>[1,4,1,4,5,1]
[2,2,2,1,4,1]=>[1,4,1,5,4,1]
[2,2,2,4,1,1]=>[1,1,1,5,5,3]
[2,2,4,1,1,2]=>[1,4,5,4,1,1]
[2,2,4,1,2,1]=>[1,4,5,1,4,1]
[2,2,4,2,1,1]=>[1,1,3,4,4,1]
[2,4,1,1,2,2]=>[5,4,4,1,1,1]
[2,4,1,2,1,2]=>[5,4,1,4,1,1]
[2,4,1,2,2,1]=>[5,4,1,1,4,1]
[2,4,2,1,1,2]=>[2,1,4,4,1,1]
[2,4,2,1,2,1]=>[2,1,4,1,4,1]
[2,4,2,2,1,1]=>[2,1,1,4,4,1]
[4,1,1,2,2,2]=>[2,4,4,1,2,4]
[4,1,2,1,2,2]=>[4,2,4,1,2,4]
[4,1,2,2,1,2]=>[4,4,2,1,2,4]
[4,1,2,2,2,1]=>[3,3,3,1,2,2]
[4,2,1,1,2,2]=>[4,4,2,2,1,2]
[4,2,1,2,1,2]=>[4,2,4,2,1,2]
[4,2,1,2,2,1]=>[5,2,2,2,1,5]
[4,2,2,1,1,2]=>[2,4,4,2,1,2]
[4,2,2,1,2,1]=>[2,5,2,2,1,5]
[4,2,2,2,1,1]=>[2,2,5,2,1,5]
[1,1,2,2,2,5]=>[1,1,2,2,2,5]
[1,1,2,2,5,2]=>[1,1,2,2,5,2]
[1,1,2,5,2,2]=>[1,1,4,2,2,2]
[1,1,5,2,2,2]=>[3,1,4,1,4,4]
[1,2,1,2,2,5]=>[1,2,1,2,2,5]
[1,2,1,2,5,2]=>[1,2,1,2,5,2]
[1,2,1,5,2,2]=>[3,4,1,1,4,4]
[1,2,2,1,2,5]=>[1,2,2,2,1,6]
[1,2,2,1,5,2]=>[2,4,4,1,1,4]
[1,2,2,2,1,5]=>[1,2,2,1,2,3]
[1,2,2,2,5,1]=>[2,4,4,1,4,1]
[1,2,2,5,1,2]=>[1,2,2,1,3,2]
[1,2,2,5,2,1]=>[1,2,2,2,6,1]
[1,2,5,1,2,2]=>[1,2,3,1,2,2]
[1,2,5,2,1,2]=>[1,2,5,2,1,2]
[1,2,5,2,2,1]=>[1,2,5,2,2,1]
[1,5,1,2,2,2]=>[1,4,1,2,2,2]
[1,5,2,1,2,2]=>[1,3,2,1,2,2]
[1,5,2,2,1,2]=>[1,5,2,2,1,2]
[1,5,2,2,2,1]=>[1,5,2,2,2,1]
[2,1,1,2,2,5]=>[5,5,1,1,1,2]
[2,1,1,2,5,2]=>[4,4,1,1,2,1]
[2,1,1,5,2,2]=>[4,4,1,2,1,1]
[2,1,2,1,2,5]=>[5,1,1,5,1,3]
[2,1,2,1,5,2]=>[4,1,1,4,3,1]
[2,1,2,2,1,5]=>[4,1,4,1,6,1]
[2,1,2,2,5,1]=>[5,1,1,1,5,3]
[2,1,2,5,1,2]=>[4,1,4,6,1,1]
[2,1,2,5,2,1]=>[4,1,1,3,4,1]
[2,1,5,1,2,2]=>[4,6,4,1,1,1]
[2,1,5,2,1,2]=>[4,2,1,4,1,1]
[2,1,5,2,2,1]=>[4,2,1,1,4,1]
[2,2,1,1,2,5]=>[1,5,1,5,1,3]
[2,2,1,1,5,2]=>[1,4,1,4,3,1]
[2,2,1,2,1,5]=>[1,4,4,1,6,1]
[2,2,1,2,5,1]=>[1,5,1,1,5,3]
[2,2,1,5,1,2]=>[1,4,4,6,1,1]
[2,2,1,5,2,1]=>[1,4,1,3,4,1]
[2,2,2,1,1,5]=>[1,1,4,4,5,1]
[2,2,2,1,5,1]=>[1,1,4,5,4,1]
[2,2,2,5,1,1]=>[1,1,1,5,5,4]
[2,2,5,1,1,2]=>[1,5,4,4,1,1]
[2,2,5,1,2,1]=>[1,5,4,1,4,1]
[2,2,5,2,1,1]=>[1,3,1,4,4,1]
[2,5,1,1,2,2]=>[6,4,4,1,1,1]
[2,5,1,2,1,2]=>[2,4,1,4,1,1]
[2,5,1,2,2,1]=>[2,4,1,1,4,1]
[2,5,2,1,1,2]=>[5,1,4,4,1,1]
[2,5,2,1,2,1]=>[5,1,4,1,4,1]
[2,5,2,2,1,1]=>[3,1,1,4,4,1]
[5,1,1,2,2,2]=>[2,4,1,2,4,4]
[5,1,2,1,2,2]=>[4,2,1,2,4,4]
[5,1,2,2,1,2]=>[3,3,1,2,2,3]
[5,1,2,2,2,1]=>[3,3,1,2,3,2]
[5,2,1,1,2,2]=>[3,3,2,1,2,2]
[5,2,1,2,1,2]=>[4,2,2,1,4,2]
[5,2,1,2,2,1]=>[4,2,2,1,2,4]
[5,2,2,1,1,2]=>[2,4,2,1,4,2]
[5,2,2,1,2,1]=>[2,4,2,1,2,4]
[5,2,2,2,1,1]=>[2,2,2,1,5,5]
[1,1,2,2,2,6]=>[1,1,2,2,2,6]
[1,1,2,2,6,2]=>[1,1,2,5,2,2]
[1,1,2,6,2,2]=>[1,1,5,2,2,2]
[1,1,6,2,2,2]=>[3,1,4,4,1,4]
[1,2,1,2,2,6]=>[1,2,1,2,2,6]
[1,2,1,2,6,2]=>[1,2,1,5,2,2]
[1,2,1,6,2,2]=>[3,4,1,4,1,4]
[1,2,2,1,2,6]=>[1,2,2,1,2,6]
[1,2,2,1,6,2]=>[3,4,4,1,1,4]
[1,2,2,2,1,6]=>[1,2,2,2,1,3]
[1,2,2,2,6,1]=>[2,4,4,4,1,1]
[1,2,2,6,1,2]=>[1,2,2,3,1,2]
[1,2,2,6,2,1]=>[1,2,2,6,2,1]
[1,2,6,1,2,2]=>[1,2,5,1,2,2]
[1,2,6,2,1,2]=>[1,2,3,2,1,2]
[1,2,6,2,2,1]=>[1,2,6,2,2,1]
[1,6,1,2,2,2]=>[1,5,1,2,2,2]
[1,6,2,1,2,2]=>[1,5,2,1,2,2]
[1,6,2,2,1,2]=>[1,3,2,2,1,2]
[1,6,2,2,2,1]=>[1,6,2,2,2,1]
[2,1,1,2,2,6]=>[5,5,1,1,1,3]
[2,1,1,2,6,2]=>[4,4,1,1,3,1]
[2,1,1,6,2,2]=>[4,4,2,1,1,1]
[2,1,2,1,2,6]=>[5,1,5,1,1,3]
[2,1,2,1,6,2]=>[4,1,4,1,3,1]
[2,1,2,2,1,6]=>[4,1,1,4,6,1]
[2,1,2,2,6,1]=>[5,1,1,1,5,4]
[2,1,2,6,1,2]=>[4,1,6,4,1,1]
[2,1,2,6,2,1]=>[4,1,3,1,4,1]
[2,1,6,1,2,2]=>[4,2,4,1,1,1]
[2,1,6,2,1,2]=>[4,6,1,4,1,1]
[2,1,6,2,2,1]=>[4,3,1,1,4,1]
[2,2,1,1,2,6]=>[1,5,5,1,1,3]
[2,2,1,1,6,2]=>[1,4,4,1,3,1]
[2,2,1,2,1,6]=>[1,4,1,4,6,1]
[2,2,1,2,6,1]=>[1,5,1,1,5,4]
[2,2,1,6,1,2]=>[1,4,6,4,1,1]
[2,2,1,6,2,1]=>[1,4,3,1,4,1]
[2,2,2,1,1,6]=>[1,1,4,4,6,1]
[2,2,2,1,6,1]=>[1,1,5,4,4,1]
[2,2,2,6,1,1]=>[1,1,5,1,5,4]
[2,2,6,1,1,2]=>[1,6,4,4,1,1]
[2,2,6,1,2,1]=>[1,3,4,1,4,1]
[2,2,6,2,1,1]=>[1,5,1,4,4,1]
[2,6,1,1,2,2]=>[2,4,4,1,1,1]
[2,6,1,2,1,2]=>[6,4,1,4,1,1]
[2,6,1,2,2,1]=>[3,4,1,1,4,1]
[2,6,2,1,1,2]=>[6,1,4,4,1,1]
[2,6,2,1,2,1]=>[3,1,4,1,4,1]
[2,6,2,2,1,1]=>[5,1,1,4,4,1]
[6,1,1,2,2,2]=>[2,1,2,4,4,4]
[6,1,2,1,2,2]=>[3,1,2,2,3,3]
[6,1,2,2,1,2]=>[3,1,2,3,2,3]
[6,1,2,2,2,1]=>[3,1,2,3,3,2]
[6,2,1,1,2,2]=>[3,2,1,3,2,2]
[6,2,1,2,1,2]=>[3,2,1,2,3,2]
[6,2,1,2,2,1]=>[3,2,1,2,2,3]
[6,2,2,1,1,2]=>[2,2,1,4,4,2]
[6,2,2,1,2,1]=>[2,2,1,4,2,4]
[6,2,2,2,1,1]=>[2,2,1,2,4,4]
[1,1,2,2,3,3]=>[1,2,1,2,4,4]
[1,1,2,3,2,3]=>[1,2,1,4,2,4]
[1,1,2,3,3,2]=>[1,2,1,4,4,2]
[1,1,3,2,2,3]=>[2,1,1,4,4,2]
[1,1,3,2,3,2]=>[2,1,1,4,2,4]
[1,1,3,3,2,2]=>[2,1,1,2,4,4]
[1,2,1,2,3,3]=>[1,2,2,1,4,4]
[1,2,1,3,2,3]=>[2,1,4,1,4,2]
[1,2,1,3,3,2]=>[2,1,4,1,2,4]
[1,2,2,1,3,3]=>[1,1,2,2,3,3]
[1,2,2,3,1,3]=>[2,1,4,4,1,2]
[1,2,2,3,3,1]=>[2,1,4,4,2,1]
[1,2,3,1,2,3]=>[1,2,2,4,1,4]
[1,2,3,1,3,2]=>[2,1,4,2,1,4]
[1,2,3,2,1,3]=>[1,1,2,3,2,3]
[1,2,3,2,3,1]=>[2,1,4,2,4,1]
[1,2,3,3,1,2]=>[1,1,2,3,3,2]
[1,2,3,3,2,1]=>[1,2,2,4,4,1]
[1,3,1,2,2,3]=>[1,2,4,1,2,4]
[1,3,1,2,3,2]=>[1,2,4,1,4,2]
[1,3,1,3,2,2]=>[2,1,2,1,4,4]
[1,3,2,1,2,3]=>[1,2,4,2,1,4]
[1,3,2,1,3,2]=>[2,1,2,4,1,4]
[1,3,2,2,1,3]=>[1,1,3,2,2,3]
[1,3,2,2,3,1]=>[2,1,2,4,4,1]
[1,3,2,3,1,2]=>[1,1,3,2,3,2]
[1,3,2,3,2,1]=>[1,2,4,2,4,1]
[1,3,3,1,2,2]=>[1,1,3,3,2,2]
[1,3,3,2,1,2]=>[1,2,4,4,1,2]
[1,3,3,2,2,1]=>[1,2,4,4,2,1]
[2,1,1,2,3,3]=>[1,5,5,1,2,2]
[2,1,1,3,2,3]=>[1,5,5,2,1,2]
[2,1,1,3,3,2]=>[1,3,3,2,2,1]
[2,1,2,1,3,3]=>[3,3,1,4,4,1]
[2,1,2,3,1,3]=>[1,5,1,5,2,2]
[2,1,2,3,3,1]=>[1,5,1,2,5,2]
[2,1,3,1,2,3]=>[1,5,2,5,1,2]
[2,1,3,1,3,2]=>[1,3,2,3,2,1]
[2,1,3,2,1,3]=>[3,3,4,1,4,1]
[2,1,3,2,3,1]=>[1,5,2,1,5,2]
[2,1,3,3,1,2]=>[3,3,4,4,1,1]
[2,1,3,3,2,1]=>[1,3,2,2,3,1]
[2,2,1,1,3,3]=>[3,1,3,4,4,1]
[2,2,1,3,1,3]=>[3,1,4,3,4,1]
[2,2,1,3,3,1]=>[3,1,4,4,3,1]
[2,2,3,1,1,3]=>[1,1,5,5,2,2]
[2,2,3,1,3,1]=>[1,1,5,2,5,2]
[2,2,3,3,1,1]=>[1,1,2,5,5,2]
[2,3,1,1,2,3]=>[1,2,5,5,1,2]
[2,3,1,1,3,2]=>[1,2,3,3,2,1]
[2,3,1,2,1,3]=>[3,4,3,1,4,1]
[2,3,1,2,3,1]=>[1,2,5,1,5,2]
[2,3,1,3,1,2]=>[3,4,3,4,1,1]
[2,3,1,3,2,1]=>[1,2,3,2,3,1]
[2,3,2,1,1,3]=>[3,4,1,3,4,1]
[2,3,2,1,3,1]=>[3,4,1,4,3,1]
[2,3,2,3,1,1]=>[1,2,1,5,5,2]
[2,3,3,1,1,2]=>[3,4,4,3,1,1]
[2,3,3,1,2,1]=>[3,4,4,1,3,1]
[2,3,3,2,1,1]=>[1,2,2,3,3,1]
[3,1,1,2,2,3]=>[2,2,3,3,1,1]
[3,1,1,2,3,2]=>[5,5,3,1,3,1]
[3,1,1,3,2,2]=>[5,5,1,3,3,1]
[3,1,2,1,2,3]=>[2,3,2,3,1,1]
[3,1,2,1,3,2]=>[5,3,5,1,3,1]
[3,1,2,2,1,3]=>[2,3,3,2,1,1]
[3,1,2,2,3,1]=>[3,5,5,1,1,3]
[3,1,2,3,1,2]=>[3,5,1,5,1,3]
[3,1,2,3,2,1]=>[5,3,1,5,3,1]
[3,1,3,1,2,2]=>[3,1,5,5,1,3]
[3,1,3,2,1,2]=>[5,1,5,3,3,1]
[3,1,3,2,2,1]=>[5,1,3,5,3,1]
[3,2,1,1,2,3]=>[3,2,2,3,1,1]
[3,2,1,1,3,2]=>[3,5,5,1,3,1]
[3,2,1,2,1,3]=>[3,2,3,2,1,1]
[3,2,1,2,3,1]=>[5,3,5,1,1,3]
[3,2,1,3,1,2]=>[5,3,1,5,1,3]
[3,2,1,3,2,1]=>[3,5,1,5,3,1]
[3,2,2,1,1,3]=>[3,3,2,2,1,1]
[3,2,2,1,3,1]=>[5,5,3,1,1,3]
[3,2,2,3,1,1]=>[5,5,1,3,1,3]
[3,2,3,1,1,2]=>[5,1,3,5,1,3]
[3,2,3,1,2,1]=>[5,1,5,3,1,3]
[3,2,3,2,1,1]=>[3,1,5,5,3,1]
[3,3,1,1,2,2]=>[1,3,5,5,1,3]
[3,3,1,2,1,2]=>[1,5,3,5,1,3]
[3,3,1,2,2,1]=>[1,5,5,3,1,3]
[3,3,2,1,1,2]=>[1,5,5,3,3,1]
[3,3,2,1,2,1]=>[1,5,3,5,3,1]
[3,3,2,2,1,1]=>[1,3,5,5,3,1]
[1,1,2,2,3,4]=>[1,2,4,1,2,6]
[1,1,2,2,4,3]=>[1,4,2,1,2,6]
[1,1,2,3,2,4]=>[1,2,2,1,4,5]
[1,1,2,3,4,2]=>[1,4,2,1,6,2]
[1,1,2,4,2,3]=>[1,2,2,1,5,4]
[1,1,2,4,3,2]=>[1,2,4,1,6,2]
[1,1,3,2,2,4]=>[2,1,4,1,4,5]
[1,1,3,2,4,2]=>[2,1,4,1,5,4]
[1,1,3,4,2,2]=>[4,1,2,1,5,5]
[1,1,4,2,2,3]=>[2,4,1,1,4,5]
[1,1,4,2,3,2]=>[2,4,1,1,5,4]
[1,1,4,3,2,2]=>[4,2,1,1,5,5]
[1,2,1,2,3,4]=>[1,2,4,2,1,6]
[1,2,1,2,4,3]=>[1,4,2,2,1,6]
[1,2,1,3,2,4]=>[2,1,4,4,1,5]
[1,2,1,3,4,2]=>[4,1,2,5,1,5]
[1,2,1,4,2,3]=>[2,4,1,4,1,5]
[1,2,1,4,3,2]=>[4,2,1,5,1,5]
[1,2,2,1,3,4]=>[1,1,3,2,2,6]
[1,2,2,1,4,3]=>[1,3,1,2,2,6]
[1,2,2,3,1,4]=>[2,1,1,4,4,3]
[1,2,2,3,4,1]=>[4,2,1,5,5,1]
[1,2,2,4,1,3]=>[3,1,1,5,5,2]
[1,2,2,4,3,1]=>[4,1,2,5,5,1]
[1,2,3,1,2,4]=>[1,1,2,2,3,4]
[1,2,3,1,4,2]=>[3,1,1,5,2,5]
[1,2,3,2,1,4]=>[1,2,1,2,4,3]
[1,2,3,2,4,1]=>[2,4,1,4,5,1]
[1,2,3,4,1,2]=>[1,3,1,2,6,2]
[1,2,3,4,2,1]=>[1,4,2,2,6,1]
[1,2,4,1,2,3]=>[1,2,1,2,3,4]
[1,2,4,1,3,2]=>[2,1,1,4,3,4]
[1,2,4,2,1,3]=>[1,1,2,2,4,3]
[1,2,4,2,3,1]=>[2,1,4,4,5,1]
[1,2,4,3,1,2]=>[1,1,3,2,6,2]
[1,2,4,3,2,1]=>[1,2,4,2,6,1]
[1,3,1,2,2,4]=>[1,1,2,3,2,4]
[1,3,1,2,4,2]=>[1,1,2,3,4,2]
[1,3,1,4,2,2]=>[3,1,1,2,5,5]
[1,3,2,1,2,4]=>[1,2,2,4,1,5]
[1,3,2,1,4,2]=>[2,4,1,5,1,4]
[1,3,2,2,1,4]=>[1,2,1,4,2,3]
[1,3,2,2,4,1]=>[2,4,1,5,4,1]
[1,3,2,4,1,2]=>[1,2,1,4,3,2]
[1,3,2,4,2,1]=>[1,2,2,4,5,1]
[1,3,4,1,2,2]=>[1,3,1,6,2,2]
[1,3,4,2,1,2]=>[1,4,2,6,1,2]
[1,3,4,2,2,1]=>[1,4,2,6,2,1]
[1,4,1,2,2,3]=>[1,2,1,3,2,4]
[1,4,1,2,3,2]=>[1,2,1,3,4,2]
[1,4,1,3,2,2]=>[2,1,1,3,4,4]
[1,4,2,1,2,3]=>[1,2,2,5,1,4]
[1,4,2,1,3,2]=>[2,1,4,5,1,4]
[1,4,2,2,1,3]=>[1,1,2,4,2,3]
[1,4,2,2,3,1]=>[2,1,4,5,4,1]
[1,4,2,3,1,2]=>[1,1,2,4,3,2]
[1,4,2,3,2,1]=>[1,2,2,5,4,1]
[1,4,3,1,2,2]=>[1,1,3,6,2,2]
[1,4,3,2,1,2]=>[1,2,4,6,1,2]
[1,4,3,2,2,1]=>[1,2,4,6,2,1]
[2,1,1,2,3,4]=>[1,2,5,5,1,4]
[2,1,1,2,4,3]=>[2,1,5,5,1,4]
[2,1,1,3,2,4]=>[1,1,5,5,2,3]
[2,1,1,3,4,2]=>[2,1,3,3,4,1]
[2,1,1,4,2,3]=>[1,1,4,4,3,2]
[2,1,1,4,3,2]=>[1,2,3,3,4,1]
[2,1,2,1,3,4]=>[4,3,3,1,6,1]
[2,1,2,1,4,3]=>[3,4,3,1,6,1]
[2,1,2,3,1,4]=>[1,4,4,1,5,2]
[2,1,2,3,4,1]=>[1,2,5,1,5,4]
[2,1,2,4,1,3]=>[4,1,4,1,5,2]
[2,1,2,4,3,1]=>[2,1,5,1,5,4]
[2,1,3,1,2,4]=>[4,1,4,5,1,2]
[2,1,3,1,4,2]=>[3,1,3,5,2,1]
[2,1,3,2,1,4]=>[1,3,3,2,5,1]
[2,1,3,2,4,1]=>[1,1,5,2,5,3]
[2,1,3,4,1,2]=>[4,3,3,6,1,1]
[2,1,3,4,2,1]=>[2,1,3,4,3,1]
[2,1,4,1,2,3]=>[1,4,4,5,1,2]
[2,1,4,1,3,2]=>[1,3,3,5,2,1]
[2,1,4,2,1,3]=>[3,1,3,2,5,1]
[2,1,4,2,3,1]=>[1,1,4,3,4,2]
[2,1,4,3,1,2]=>[3,4,3,6,1,1]
[2,1,4,3,2,1]=>[1,2,3,4,3,1]
[2,2,1,1,3,4]=>[4,3,1,3,6,1]
[2,2,1,1,4,3]=>[3,4,1,3,6,1]
[2,2,1,3,1,4]=>[3,3,1,4,5,1]
[2,2,1,3,4,1]=>[4,3,1,6,3,1]
[2,2,1,4,1,3]=>[3,3,1,5,4,1]
[2,2,1,4,3,1]=>[3,4,1,6,3,1]
[2,2,3,1,1,4]=>[1,4,1,4,5,2]
[2,2,3,1,4,1]=>[1,4,1,5,4,2]
[2,2,3,4,1,1]=>[1,2,1,5,5,4]
[2,2,4,1,1,3]=>[4,1,1,4,5,2]
[2,2,4,1,3,1]=>[4,1,1,5,4,2]
[2,2,4,3,1,1]=>[2,1,1,5,5,4]
[2,3,1,1,2,4]=>[4,1,5,4,1,2]
[2,3,1,1,4,2]=>[3,1,5,3,2,1]
[2,3,1,2,1,4]=>[3,3,4,1,5,1]
[2,3,1,2,4,1]=>[4,1,5,1,4,2]
[2,3,1,4,1,2]=>[3,3,4,5,1,1]
[2,3,1,4,2,1]=>[3,1,5,2,3,1]
[2,3,2,1,1,4]=>[1,3,2,3,5,1]
[2,3,2,1,4,1]=>[1,3,2,5,3,1]
[2,3,2,4,1,1]=>[1,1,2,5,5,3]
[2,3,4,1,1,2]=>[4,3,6,3,1,1]
[2,3,4,1,2,1]=>[4,3,6,1,3,1]
[2,3,4,2,1,1]=>[2,1,4,3,3,1]
[2,4,1,1,2,3]=>[1,4,5,4,1,2]
[2,4,1,1,3,2]=>[1,3,5,3,2,1]
[2,4,1,2,1,3]=>[3,3,5,1,4,1]
[2,4,1,2,3,1]=>[1,4,5,1,4,2]
[2,4,1,3,1,2]=>[3,3,5,4,1,1]
[2,4,1,3,2,1]=>[1,3,5,2,3,1]
[2,4,2,1,1,3]=>[3,1,2,3,5,1]
[2,4,2,1,3,1]=>[3,1,2,5,3,1]
[2,4,2,3,1,1]=>[1,1,3,4,4,2]
[2,4,3,1,1,2]=>[3,4,6,3,1,1]
[2,4,3,1,2,1]=>[3,4,6,1,3,1]
[2,4,3,2,1,1]=>[1,2,4,3,3,1]
[3,1,1,2,2,4]=>[2,2,5,5,1,3]
[3,1,1,2,4,2]=>[4,2,4,5,1,2]
[3,1,1,4,2,2]=>[4,2,5,4,1,2]
[3,1,2,1,2,4]=>[2,5,2,5,1,3]
[3,1,2,1,4,2]=>[4,4,2,5,1,2]
[3,1,2,2,1,4]=>[2,5,5,2,1,3]
[3,1,2,2,4,1]=>[2,4,4,3,1,2]
[3,1,2,4,1,2]=>[2,4,3,4,1,2]
[3,1,2,4,2,1]=>[4,4,5,2,1,2]
[3,1,4,1,2,2]=>[2,3,4,4,1,2]
[3,1,4,2,1,2]=>[4,5,2,4,1,2]
[3,1,4,2,2,1]=>[4,5,4,2,1,2]
[3,2,1,1,2,4]=>[2,5,5,2,3,1]
[3,2,1,1,4,2]=>[2,4,4,3,2,1]
[3,2,1,2,1,4]=>[2,5,2,5,3,1]
[3,2,1,2,4,1]=>[4,4,2,5,2,1]
[3,2,1,4,1,2]=>[4,4,5,2,2,1]
[3,2,1,4,2,1]=>[2,4,3,4,2,1]
[3,2,2,1,1,4]=>[2,2,5,5,3,1]
[3,2,2,1,4,1]=>[4,2,4,5,2,1]
[3,2,2,4,1,1]=>[4,2,5,4,2,1]
[3,2,4,1,1,2]=>[4,5,4,2,2,1]
[3,2,4,1,2,1]=>[4,5,2,4,2,1]
[3,2,4,2,1,1]=>[2,3,4,4,2,1]
[3,4,1,1,2,2]=>[1,3,5,5,2,3]
[3,4,1,2,1,2]=>[1,5,3,5,2,3]
[3,4,1,2,2,1]=>[1,5,5,3,2,3]
[3,4,2,1,1,2]=>[1,5,5,3,3,2]
[3,4,2,1,2,1]=>[1,5,3,5,3,2]
[3,4,2,2,1,1]=>[1,3,5,5,3,2]
[4,1,1,2,2,3]=>[2,5,5,1,4,2]
[4,1,1,2,3,2]=>[2,4,6,1,2,4]
[4,1,1,3,2,2]=>[2,6,4,1,2,4]
[4,1,2,1,2,3]=>[5,2,5,1,4,2]
[4,1,2,1,3,2]=>[4,2,6,1,2,4]
[4,1,2,2,1,3]=>[5,5,2,1,4,2]
[4,1,2,2,3,1]=>[3,3,4,1,2,2]
[4,1,2,3,1,2]=>[4,6,2,1,2,4]
[4,1,2,3,2,1]=>[3,4,3,1,2,2]
[4,1,3,1,2,2]=>[6,2,4,1,2,4]
[4,1,3,2,1,2]=>[6,4,2,1,2,4]
[4,1,3,2,2,1]=>[4,3,3,1,2,2]
[4,2,1,1,2,3]=>[5,5,2,4,1,2]
[4,2,1,1,3,2]=>[3,3,4,2,1,2]
[4,2,1,2,1,3]=>[5,2,5,4,1,2]
[4,2,1,2,3,1]=>[4,2,6,2,1,4]
[4,2,1,3,1,2]=>[3,4,3,2,1,2]
[4,2,1,3,2,1]=>[4,6,2,2,1,4]
[4,2,2,1,1,3]=>[2,5,5,4,1,2]
[4,2,2,1,3,1]=>[2,4,6,2,1,4]
[4,2,2,3,1,1]=>[2,6,4,2,1,4]
[4,2,3,1,1,2]=>[4,3,3,2,1,2]
[4,2,3,1,2,1]=>[6,4,2,2,1,4]
[4,2,3,2,1,1]=>[6,2,4,2,1,4]
[4,3,1,1,2,2]=>[5,5,3,3,2,1]
[4,3,1,2,1,2]=>[5,3,5,3,2,1]
[4,3,1,2,2,1]=>[3,5,5,2,3,1]
[4,3,2,1,1,2]=>[3,5,5,3,2,1]
[4,3,2,1,2,1]=>[5,3,5,2,3,1]
[4,3,2,2,1,1]=>[5,5,3,2,3,1]
[1,1,2,2,3,5]=>[1,2,1,4,2,6]
[1,1,2,2,5,3]=>[1,4,1,2,2,6]
[1,1,2,3,2,5]=>[1,2,1,2,4,5]
[1,1,2,3,5,2]=>[1,4,1,2,6,2]
[1,1,2,5,2,3]=>[1,2,1,2,5,4]
[1,1,2,5,3,2]=>[1,2,1,4,6,2]
[1,1,3,2,2,5]=>[2,1,1,4,4,5]
[1,1,3,2,5,2]=>[2,1,1,4,5,4]
[1,1,3,5,2,2]=>[4,1,1,2,5,5]
[1,1,5,2,2,3]=>[3,4,1,1,4,5]
[1,1,5,2,3,2]=>[3,4,1,1,5,4]
[1,1,5,3,2,2]=>[4,3,1,1,5,5]
[1,2,1,2,3,5]=>[1,2,2,4,1,6]
[1,2,1,2,5,3]=>[1,5,2,2,1,6]
[1,2,1,3,2,5]=>[2,1,4,4,1,6]
[1,2,1,3,5,2]=>[4,1,5,2,1,5]
[1,2,1,5,2,3]=>[2,4,4,1,1,5]
[1,2,1,5,3,2]=>[4,2,5,1,1,5]
[1,2,2,1,3,5]=>[1,1,2,3,2,6]
[1,2,2,1,5,3]=>[1,3,2,1,2,6]
[1,2,2,3,1,5]=>[2,1,4,1,4,3]
[1,2,2,3,5,1]=>[4,2,5,1,5,1]
[1,2,2,5,1,3]=>[3,1,5,1,5,2]
[1,2,2,5,3,1]=>[4,1,5,2,5,1]
[1,2,3,1,2,5]=>[1,1,2,2,3,5]
[1,2,3,1,5,2]=>[3,1,5,1,2,5]
[1,2,3,2,1,5]=>[1,2,2,1,4,3]
[1,2,3,2,5,1]=>[2,4,4,1,5,1]
[1,2,3,5,1,2]=>[1,3,2,1,6,2]
[1,2,3,5,2,1]=>[1,5,2,2,6,1]
[1,2,5,1,2,3]=>[1,2,2,1,3,4]
[1,2,5,1,3,2]=>[2,1,4,1,3,4]
[1,2,5,2,1,3]=>[1,1,2,2,5,3]
[1,2,5,2,3,1]=>[2,1,4,4,6,1]
[1,2,5,3,1,2]=>[1,1,2,3,6,2]
[1,2,5,3,2,1]=>[1,2,2,4,6,1]
[1,3,1,2,2,5]=>[1,1,3,2,2,4]
[1,3,1,2,5,2]=>[1,1,3,2,4,2]
[1,3,1,5,2,2]=>[3,1,2,1,5,5]
[1,3,2,1,2,5]=>[1,2,4,2,1,5]
[1,3,2,1,5,2]=>[2,4,5,1,1,4]
[1,3,2,2,1,5]=>[1,2,4,1,2,3]
[1,3,2,2,5,1]=>[2,4,5,1,4,1]
[1,3,2,5,1,2]=>[1,2,4,1,3,2]
[1,3,2,5,2,1]=>[1,2,4,2,5,1]
[1,3,5,1,2,2]=>[1,3,6,1,2,2]
[1,3,5,2,1,2]=>[1,4,6,2,1,2]
[1,3,5,2,2,1]=>[1,4,6,2,2,1]
[1,5,1,2,2,3]=>[1,2,3,1,2,4]
[1,5,1,2,3,2]=>[1,2,3,1,4,2]
[1,5,1,3,2,2]=>[2,1,3,1,4,4]
[1,5,2,1,2,3]=>[1,2,5,2,1,4]
[1,5,2,1,3,2]=>[2,1,5,4,1,4]
[1,5,2,2,1,3]=>[1,1,4,2,2,3]
[1,5,2,2,3,1]=>[2,1,5,4,4,1]
[1,5,2,3,1,2]=>[1,1,4,2,3,2]
[1,5,2,3,2,1]=>[1,2,5,2,4,1]
[1,5,3,1,2,2]=>[1,1,6,3,2,2]
[1,5,3,2,1,2]=>[1,2,6,4,1,2]
[1,5,3,2,2,1]=>[1,2,6,4,2,1]
[2,1,1,2,3,5]=>[1,5,2,5,1,4]
[2,1,1,2,5,3]=>[2,5,1,5,1,4]
[2,1,1,3,2,5]=>[1,5,1,5,2,3]
[2,1,1,3,5,2]=>[2,3,1,3,4,1]
[2,1,1,5,2,3]=>[1,4,1,4,3,2]
[2,1,1,5,3,2]=>[1,3,2,3,4,1]
[2,1,2,1,3,5]=>[5,3,3,1,6,1]
[2,1,2,1,5,3]=>[3,3,4,1,6,1]
[2,1,2,3,1,5]=>[1,4,4,1,6,2]
[2,1,2,3,5,1]=>[1,5,2,1,5,4]
[2,1,2,5,1,3]=>[4,4,1,1,5,2]
[2,1,2,5,3,1]=>[2,5,1,1,5,4]
[2,1,3,1,2,5]=>[4,4,1,5,1,2]
[2,1,3,1,5,2]=>[3,3,1,5,2,1]
[2,1,3,2,1,5]=>[1,3,3,2,6,1]
[2,1,3,2,5,1]=>[1,5,1,2,5,3]
[2,1,3,5,1,2]=>[5,3,3,6,1,1]
[2,1,3,5,2,1]=>[2,3,1,4,3,1]
[2,1,5,1,2,3]=>[1,4,4,6,1,2]
[2,1,5,1,3,2]=>[1,3,3,6,2,1]
[2,1,5,2,1,3]=>[3,3,1,2,5,1]
[2,1,5,2,3,1]=>[1,4,1,3,4,2]
[2,1,5,3,1,2]=>[3,3,4,6,1,1]
[2,1,5,3,2,1]=>[1,3,2,4,3,1]
[2,2,1,1,3,5]=>[4,1,3,3,6,1]
[2,2,1,1,5,3]=>[3,1,4,3,6,1]
[2,2,1,3,1,5]=>[3,1,3,4,5,1]
[2,2,1,3,5,1]=>[4,1,3,6,3,1]
[2,2,1,5,1,3]=>[3,1,3,5,4,1]
[2,2,1,5,3,1]=>[3,1,4,6,3,1]
[2,2,3,1,1,5]=>[1,1,4,4,5,2]
[2,2,3,1,5,1]=>[1,1,4,5,4,2]
[2,2,3,5,1,1]=>[1,1,2,5,5,4]
[2,2,5,1,1,3]=>[4,1,1,4,5,3]
[2,2,5,1,3,1]=>[4,1,1,5,4,3]
[2,2,5,3,1,1]=>[3,1,1,5,5,4]
[2,3,1,1,2,5]=>[4,5,1,4,1,2]
[2,3,1,1,5,2]=>[3,5,1,3,2,1]
[2,3,1,2,1,5]=>[3,4,3,1,5,1]
[2,3,1,2,5,1]=>[4,5,1,1,4,2]
[2,3,1,5,1,2]=>[3,4,3,5,1,1]
[2,3,1,5,2,1]=>[3,5,1,2,3,1]
[2,3,2,1,1,5]=>[1,2,3,3,5,1]
[2,3,2,1,5,1]=>[1,2,3,5,3,1]
[2,3,2,5,1,1]=>[1,2,1,5,5,3]
[2,3,5,1,1,2]=>[4,6,3,3,1,1]
[2,3,5,1,2,1]=>[4,6,3,1,3,1]
[2,3,5,2,1,1]=>[2,4,1,3,3,1]
[2,5,1,1,2,3]=>[1,5,4,4,1,2]
[2,5,1,1,3,2]=>[1,5,3,3,2,1]
[2,5,1,2,1,3]=>[3,5,3,1,4,1]
[2,5,1,2,3,1]=>[1,5,4,1,4,2]
[2,5,1,3,1,2]=>[3,5,3,4,1,1]
[2,5,1,3,2,1]=>[1,5,3,2,3,1]
[2,5,2,1,1,3]=>[3,2,1,3,5,1]
[2,5,2,1,3,1]=>[3,2,1,5,3,1]
[2,5,2,3,1,1]=>[1,3,1,4,4,2]
[2,5,3,1,1,2]=>[3,6,4,3,1,1]
[2,5,3,1,2,1]=>[3,6,4,1,3,1]
[2,5,3,2,1,1]=>[1,4,2,3,3,1]
[3,1,1,2,2,5]=>[2,2,5,5,1,4]
[3,1,1,2,5,2]=>[2,4,4,5,1,2]
[3,1,1,5,2,2]=>[2,4,5,4,1,2]
[3,1,2,1,2,5]=>[5,2,2,5,1,3]
[3,1,2,1,5,2]=>[4,4,2,6,1,2]
[3,1,2,2,1,5]=>[5,2,5,2,1,3]
[3,1,2,2,5,1]=>[4,2,4,3,1,2]
[3,1,2,5,1,2]=>[4,2,3,4,1,2]
[3,1,2,5,2,1]=>[4,4,6,2,1,2]
[3,1,5,1,2,2]=>[3,2,4,4,1,2]
[3,1,5,2,1,2]=>[5,4,2,4,1,2]
[3,1,5,2,2,1]=>[5,4,4,2,1,2]
[3,2,1,1,2,5]=>[5,2,5,2,3,1]
[3,2,1,1,5,2]=>[4,2,4,3,2,1]
[3,2,1,2,1,5]=>[5,2,2,5,3,1]
[3,2,1,2,5,1]=>[4,4,2,6,2,1]
[3,2,1,5,1,2]=>[4,4,6,2,2,1]
[3,2,1,5,2,1]=>[4,2,3,4,2,1]
[3,2,2,1,1,5]=>[2,2,5,5,4,1]
[3,2,2,1,5,1]=>[2,4,4,5,2,1]
[3,2,2,5,1,1]=>[2,4,5,4,2,1]
[3,2,5,1,1,2]=>[5,4,4,2,2,1]
[3,2,5,1,2,1]=>[5,4,2,4,2,1]
[3,2,5,2,1,1]=>[3,2,4,4,2,1]
[3,5,1,1,2,2]=>[3,1,5,5,2,3]
[3,5,1,2,1,2]=>[5,1,5,3,3,2]
[3,5,1,2,2,1]=>[5,1,3,5,3,2]
[3,5,2,1,1,2]=>[5,1,3,5,2,3]
[3,5,2,1,2,1]=>[5,1,5,3,2,3]
[3,5,2,2,1,1]=>[3,1,5,5,3,2]
[5,1,1,2,2,3]=>[2,4,1,2,4,6]
[5,1,1,2,3,2]=>[2,5,1,4,2,5]
[5,1,1,3,2,2]=>[2,5,1,2,4,4]
[5,1,2,1,2,3]=>[4,2,1,2,4,6]
[5,1,2,1,3,2]=>[5,2,1,4,2,5]
[5,1,2,2,1,3]=>[3,3,1,2,2,4]
[5,1,2,2,3,1]=>[5,5,1,3,2,2]
[5,1,2,3,1,2]=>[3,4,1,2,2,3]
[5,1,2,3,2,1]=>[3,6,1,2,3,2]
[5,1,3,1,2,2]=>[5,2,1,2,4,4]
[5,1,3,2,1,2]=>[4,3,1,2,2,3]
[5,1,3,2,2,1]=>[6,3,1,2,3,2]
[5,2,1,1,2,3]=>[3,3,2,1,2,4]
[5,2,1,1,3,2]=>[5,5,3,1,2,2]
[5,2,1,2,1,3]=>[4,2,2,1,4,6]
[5,2,1,2,3,1]=>[5,2,4,1,2,5]
[5,2,1,3,1,2]=>[3,6,2,1,3,2]
[5,2,1,3,2,1]=>[3,4,2,1,2,3]
[5,2,2,1,1,3]=>[2,4,2,1,4,6]
[5,2,2,1,3,1]=>[2,5,4,1,2,5]
[5,2,2,3,1,1]=>[2,5,2,1,4,4]
[5,2,3,1,1,2]=>[6,3,2,1,3,2]
[5,2,3,1,2,1]=>[4,3,2,1,2,3]
[5,2,3,2,1,1]=>[5,2,2,1,4,4]
[5,3,1,1,2,2]=>[4,4,3,2,1,3]
[5,3,1,2,1,2]=>[3,5,2,3,1,5]
[5,3,1,2,2,1]=>[5,3,3,2,1,5]
[5,3,2,1,1,2]=>[5,3,2,3,1,5]
[5,3,2,1,2,1]=>[3,5,3,2,1,5]
[5,3,2,2,1,1]=>[4,4,2,3,1,3]
[1,1,2,2,3,6]=>[1,2,1,2,4,6]
[1,1,2,2,6,3]=>[1,5,1,2,2,6]
[1,1,2,3,2,6]=>[1,2,1,4,2,5]
[1,1,2,3,6,2]=>[1,4,1,6,2,2]
[1,1,2,6,2,3]=>[1,2,1,5,2,4]
[1,1,2,6,3,2]=>[1,2,1,6,4,2]
[1,1,3,2,2,6]=>[2,1,1,4,4,6]
[1,1,3,2,6,2]=>[2,1,1,5,4,4]
[1,1,3,6,2,2]=>[4,1,1,5,2,5]
[1,1,6,2,2,3]=>[3,4,1,4,1,5]
[1,1,6,2,3,2]=>[4,3,1,5,1,5]
[1,1,6,3,2,2]=>[3,4,1,5,1,4]
[1,2,1,2,3,6]=>[1,2,2,1,4,6]
[1,2,1,2,6,3]=>[1,5,2,1,2,6]
[1,2,1,3,2,6]=>[2,1,4,1,4,6]
[1,2,1,3,6,2]=>[4,1,5,1,2,5]
[1,2,1,6,2,3]=>[3,4,4,1,1,5]
[1,2,1,6,3,2]=>[4,3,5,1,1,5]
[1,2,2,1,3,6]=>[1,1,2,2,3,6]
[1,2,2,1,6,3]=>[1,3,2,2,1,6]
[1,2,2,3,1,6]=>[2,1,4,4,1,3]
[1,2,2,3,6,1]=>[4,2,5,5,1,1]
[1,2,2,6,1,3]=>[3,1,5,5,1,2]
[1,2,2,6,3,1]=>[4,1,5,5,2,1]
[1,2,3,1,2,6]=>[1,1,2,3,2,5]
[1,2,3,1,6,2]=>[3,1,5,2,1,5]
[1,2,3,2,1,6]=>[1,2,2,4,1,3]
[1,2,3,2,6,1]=>[2,4,4,5,1,1]
[1,2,3,6,1,2]=>[1,3,2,6,1,2]
[1,2,3,6,2,1]=>[1,5,2,6,2,1]
[1,2,6,1,2,3]=>[1,2,2,3,1,4]
[1,2,6,1,3,2]=>[2,1,4,3,1,4]
[1,2,6,2,1,3]=>[1,1,2,5,2,3]
[1,2,6,2,3,1]=>[2,1,4,6,4,1]
[1,2,6,3,1,2]=>[1,1,2,6,3,2]
[1,2,6,3,2,1]=>[1,2,2,6,4,1]
[1,3,1,2,2,6]=>[1,1,3,2,2,5]
[1,3,1,2,6,2]=>[1,1,3,4,2,2]
[1,3,1,6,2,2]=>[3,1,2,5,1,5]
[1,3,2,1,2,6]=>[1,2,4,1,2,5]
[1,3,2,1,6,2]=>[3,4,5,1,1,4]
[1,3,2,2,1,6]=>[1,2,4,2,1,3]
[1,3,2,2,6,1]=>[2,4,5,4,1,1]
[1,3,2,6,1,2]=>[1,2,4,3,1,2]
[1,3,2,6,2,1]=>[1,2,4,5,2,1]
[1,3,6,1,2,2]=>[1,4,6,1,2,2]
[1,3,6,2,1,2]=>[1,3,6,2,1,2]
[1,3,6,2,2,1]=>[1,5,6,2,2,1]
[1,6,1,2,2,3]=>[1,2,5,1,2,4]
[1,6,1,2,3,2]=>[1,2,6,1,4,2]
[1,6,1,3,2,2]=>[2,1,5,1,4,4]
[1,6,2,1,2,3]=>[1,2,3,2,1,4]
[1,6,2,1,3,2]=>[2,1,3,4,1,4]
[1,6,2,2,1,3]=>[1,1,5,2,2,3]
[1,6,2,2,3,1]=>[2,1,6,4,4,1]
[1,6,2,3,1,2]=>[1,1,6,2,3,2]
[1,6,2,3,2,1]=>[1,2,6,2,4,1]
[1,6,3,1,2,2]=>[1,1,4,3,2,2]
[1,6,3,2,1,2]=>[1,2,3,4,1,2]
[1,6,3,2,2,1]=>[1,2,5,4,2,1]
[2,1,1,2,3,6]=>[1,5,5,2,1,4]
[2,1,1,2,6,3]=>[2,5,5,1,1,4]
[2,1,1,3,2,6]=>[1,5,5,1,2,3]
[2,1,1,3,6,2]=>[2,3,3,1,4,1]
[2,1,1,6,2,3]=>[1,4,4,1,3,2]
[2,1,1,6,3,2]=>[1,3,3,2,4,1]
[2,1,2,1,3,6]=>[5,3,1,3,6,1]
[2,1,2,1,6,3]=>[3,3,1,4,6,1]
[2,1,2,3,1,6]=>[1,4,1,4,6,2]
[2,1,2,3,6,1]=>[1,5,1,2,5,4]
[2,1,2,6,1,3]=>[4,4,1,1,5,3]
[2,1,2,6,3,1]=>[3,5,1,1,5,4]
[2,1,3,1,2,6]=>[4,4,5,1,1,2]
[2,1,3,1,6,2]=>[3,3,5,1,2,1]
[2,1,3,2,1,6]=>[1,3,2,3,6,1]
[2,1,3,2,6,1]=>[1,5,2,1,5,3]
[2,1,3,6,1,2]=>[5,3,6,3,1,1]
[2,1,3,6,2,1]=>[2,3,4,1,3,1]
[2,1,6,1,2,3]=>[1,4,6,4,1,2]
[2,1,6,1,3,2]=>[1,3,6,3,2,1]
[2,1,6,2,1,3]=>[3,3,2,1,5,1]
[2,1,6,2,3,1]=>[1,4,3,1,4,2]
[2,1,6,3,1,2]=>[3,3,6,4,1,1]
[2,1,6,3,2,1]=>[1,3,4,2,3,1]
[2,2,1,1,3,6]=>[5,1,3,3,6,1]
[2,2,1,1,6,3]=>[3,1,3,4,6,1]
[2,2,1,3,1,6]=>[3,1,4,3,5,1]
[2,2,1,3,6,1]=>[4,1,6,3,3,1]
[2,2,1,6,1,3]=>[3,1,5,3,4,1]
[2,2,1,6,3,1]=>[3,1,6,4,3,1]
[2,2,3,1,1,6]=>[1,1,4,4,6,2]
[2,2,3,1,6,1]=>[1,1,5,4,4,2]
[2,2,3,6,1,1]=>[1,1,5,2,5,4]
[2,2,6,1,1,3]=>[4,1,4,1,5,3]
[2,2,6,1,3,1]=>[3,1,5,1,5,4]
[2,2,6,3,1,1]=>[4,1,5,1,4,3]
[2,3,1,1,2,6]=>[4,5,4,1,1,2]
[2,3,1,1,6,2]=>[3,5,3,1,2,1]
[2,3,1,2,1,6]=>[3,4,1,3,5,1]
[2,3,1,2,6,1]=>[4,5,1,1,4,3]
[2,3,1,6,1,2]=>[3,4,5,3,1,1]
[2,3,1,6,2,1]=>[3,5,2,1,3,1]
[2,3,2,1,1,6]=>[1,2,3,3,6,1]
[2,3,2,1,6,1]=>[1,2,5,3,3,1]
[2,3,2,6,1,1]=>[1,2,5,1,5,3]
[2,3,6,1,1,2]=>[5,6,3,3,1,1]
[2,3,6,1,2,1]=>[2,4,3,1,3,1]
[2,3,6,2,1,1]=>[4,6,1,3,3,1]
[2,6,1,1,2,3]=>[1,6,4,4,1,2]
[2,6,1,1,3,2]=>[1,6,3,3,2,1]
[2,6,1,2,1,3]=>[3,2,3,1,5,1]
[2,6,1,2,3,1]=>[1,3,4,1,4,2]
[2,6,1,3,1,2]=>[3,6,3,4,1,1]
[2,6,1,3,2,1]=>[1,4,3,2,3,1]
[2,6,2,1,1,3]=>[3,5,1,3,4,1]
[2,6,2,1,3,1]=>[3,6,1,4,3,1]
[2,6,2,3,1,1]=>[1,5,1,4,4,2]
[2,6,3,1,1,2]=>[3,5,4,3,1,1]
[2,6,3,1,2,1]=>[3,2,5,1,3,1]
[2,6,3,2,1,1]=>[1,5,2,3,3,1]
[3,1,1,2,2,6]=>[2,5,2,5,1,4]
[3,1,1,2,6,2]=>[2,4,4,6,1,2]
[3,1,1,6,2,2]=>[2,5,4,4,1,2]
[3,1,2,1,2,6]=>[5,2,2,5,1,4]
[3,1,2,1,6,2]=>[4,2,4,6,1,2]
[3,1,2,2,1,6]=>[5,5,2,2,1,3]
[3,1,2,2,6,1]=>[4,4,2,3,1,2]
[3,1,2,6,1,2]=>[4,3,2,4,1,2]
[3,1,2,6,2,1]=>[4,6,4,2,1,2]
[3,1,6,1,2,2]=>[5,2,4,4,1,2]
[3,1,6,2,1,2]=>[3,4,2,4,1,2]
[3,1,6,2,2,1]=>[6,4,4,2,1,2]
[3,2,1,1,2,6]=>[5,5,2,2,3,1]
[3,2,1,1,6,2]=>[4,4,2,3,2,1]
[3,2,1,2,1,6]=>[5,2,2,5,4,1]
[3,2,1,2,6,1]=>[4,2,4,6,2,1]
[3,2,1,6,1,2]=>[4,6,4,2,2,1]
[3,2,1,6,2,1]=>[4,3,2,4,2,1]
[3,2,2,1,1,6]=>[2,5,2,5,4,1]
[3,2,2,1,6,1]=>[2,4,4,6,2,1]
[3,2,2,6,1,1]=>[2,5,4,4,2,1]
[3,2,6,1,1,2]=>[6,4,4,2,2,1]
[3,2,6,1,2,1]=>[3,4,2,4,2,1]
[3,2,6,2,1,1]=>[5,2,4,4,2,1]
[3,6,1,1,2,2]=>[5,5,1,3,3,2]
[3,6,1,2,1,2]=>[3,5,1,5,2,3]
[3,6,1,2,2,1]=>[5,3,1,5,3,2]
[3,6,2,1,1,2]=>[5,3,1,5,2,3]
[3,6,2,1,2,1]=>[3,5,1,5,3,2]
[3,6,2,2,1,1]=>[5,5,1,3,2,3]
[6,1,1,2,2,3]=>[2,1,2,4,4,5]
[6,1,1,2,3,2]=>[2,1,2,4,5,4]
[6,1,1,3,2,2]=>[2,1,4,2,5,5]
[6,1,2,1,2,3]=>[3,1,2,3,2,6]
[6,1,2,1,3,2]=>[5,1,3,2,2,5]
[6,1,2,2,1,3]=>[3,1,2,2,3,4]
[6,1,2,2,3,1]=>[5,1,3,2,5,2]
[6,1,2,3,1,2]=>[3,1,2,2,4,3]
[6,1,2,3,2,1]=>[3,1,2,3,6,2]
[6,1,3,1,2,2]=>[4,1,2,2,3,3]
[6,1,3,2,1,2]=>[5,1,2,3,2,3]
[6,1,3,2,2,1]=>[5,1,2,3,3,2]
[6,2,1,1,2,3]=>[3,2,1,2,3,4]
[6,2,1,1,3,2]=>[5,3,1,2,5,2]
[6,2,1,2,1,3]=>[3,2,1,3,2,6]
[6,2,1,2,3,1]=>[5,3,1,2,2,5]
[6,2,1,3,1,2]=>[3,2,1,3,6,2]
[6,2,1,3,2,1]=>[3,2,1,2,4,3]
[6,2,2,1,1,3]=>[2,2,1,4,4,5]
[6,2,2,1,3,1]=>[2,2,1,4,5,4]
[6,2,2,3,1,1]=>[2,4,1,2,5,5]
[6,2,3,1,1,2]=>[5,2,1,3,3,2]
[6,2,3,1,2,1]=>[5,2,1,3,2,3]
[6,2,3,2,1,1]=>[4,2,1,2,3,3]
[6,3,1,1,2,2]=>[3,2,3,1,5,5]
[6,3,1,2,1,2]=>[4,3,2,1,4,3]
[6,3,1,2,2,1]=>[4,3,2,1,3,4]
[6,3,2,1,1,2]=>[4,2,3,1,3,4]
[6,3,2,1,2,1]=>[4,2,3,1,4,3]
[6,3,2,2,1,1]=>[3,3,2,1,5,5]
[1,1,2,2,4,4]=>[1,1,2,2,4,4]
[1,1,2,4,2,4]=>[1,1,2,4,2,4]
[1,1,2,4,4,2]=>[1,1,2,4,4,2]
[1,1,4,2,2,4]=>[3,1,1,4,4,3]
[1,1,4,2,4,2]=>[3,1,1,4,3,4]
[1,1,4,4,2,2]=>[3,1,1,3,4,4]
[1,2,1,2,4,4]=>[1,2,2,1,5,5]
[1,2,1,4,2,4]=>[2,4,1,1,4,2]
[1,2,1,4,4,2]=>[2,4,1,1,2,4]
[1,2,2,1,4,4]=>[1,2,1,2,3,3]
[1,2,2,4,1,4]=>[2,4,1,4,1,2]
[1,2,2,4,4,1]=>[2,4,1,4,2,1]
[1,2,4,1,2,4]=>[1,2,2,5,1,5]
[1,2,4,1,4,2]=>[2,4,1,2,1,4]
[1,2,4,2,1,4]=>[1,2,1,3,2,3]
[1,2,4,2,4,1]=>[2,4,1,2,4,1]
[1,2,4,4,1,2]=>[1,2,1,3,3,2]
[1,2,4,4,2,1]=>[1,2,2,5,5,1]
[1,4,1,2,2,4]=>[1,4,2,1,2,4]
[1,4,1,2,4,2]=>[1,4,2,1,4,2]
[1,4,1,4,2,2]=>[2,2,1,1,4,4]
[1,4,2,1,2,4]=>[1,4,2,2,1,4]
[1,4,2,1,4,2]=>[2,2,1,4,1,4]
[1,4,2,2,1,4]=>[1,3,1,2,2,3]
[1,4,2,2,4,1]=>[2,2,1,4,4,1]
[1,4,2,4,1,2]=>[1,3,1,2,3,2]
[1,4,2,4,2,1]=>[1,4,2,2,4,1]
[1,4,4,1,2,2]=>[1,3,1,3,2,2]
[1,4,4,2,1,2]=>[1,4,2,4,1,2]
[1,4,4,2,2,1]=>[1,4,2,4,2,1]
[2,1,1,2,4,4]=>[5,1,5,1,2,2]
[2,1,1,4,2,4]=>[5,1,5,2,1,2]
[2,1,1,4,4,2]=>[3,1,3,2,2,1]
[2,1,2,1,4,4]=>[3,3,1,5,5,1]
[2,1,2,4,1,4]=>[5,1,1,5,2,2]
[2,1,2,4,4,1]=>[5,1,1,2,5,2]
[2,1,4,1,2,4]=>[5,1,2,5,1,2]
[2,1,4,1,4,2]=>[3,1,2,3,2,1]
[2,1,4,2,1,4]=>[3,3,5,1,5,1]
[2,1,4,2,4,1]=>[5,1,2,1,5,2]
[2,1,4,4,1,2]=>[3,3,5,5,1,1]
[2,1,4,4,2,1]=>[3,1,2,2,3,1]
[2,2,1,1,4,4]=>[1,3,3,4,4,1]
[2,2,1,4,1,4]=>[1,3,4,3,4,1]
[2,2,1,4,4,1]=>[1,3,4,4,3,1]
[2,2,4,1,1,4]=>[1,1,5,5,3,3]
[2,2,4,1,4,1]=>[1,1,5,3,5,3]
[2,2,4,4,1,1]=>[1,1,3,5,5,3]
[2,4,1,1,2,4]=>[2,1,5,5,1,2]
[2,4,1,1,4,2]=>[2,1,3,3,2,1]
[2,4,1,2,1,4]=>[4,3,3,1,4,1]
[2,4,1,2,4,1]=>[2,1,5,1,5,2]
[2,4,1,4,1,2]=>[4,3,3,4,1,1]
[2,4,1,4,2,1]=>[2,1,3,2,3,1]
[2,4,2,1,1,4]=>[4,3,1,3,4,1]
[2,4,2,1,4,1]=>[4,3,1,4,3,1]
[2,4,2,4,1,1]=>[2,1,1,5,5,2]
[2,4,4,1,1,2]=>[4,3,4,3,1,1]
[2,4,4,1,2,1]=>[4,3,4,1,3,1]
[2,4,4,2,1,1]=>[2,1,2,3,3,1]
[4,1,1,2,2,4]=>[5,5,2,2,1,1]
[4,1,1,2,4,2]=>[2,2,3,1,1,3]
[4,1,1,4,2,2]=>[4,4,1,3,1,3]
[4,1,2,1,2,4]=>[5,2,5,2,1,1]
[4,1,2,1,4,2]=>[2,3,2,1,1,3]
[4,1,2,2,1,4]=>[2,5,5,1,2,1]
[4,1,2,2,4,1]=>[2,3,3,1,1,2]
[4,1,2,4,1,2]=>[3,5,1,1,3,5]
[4,1,2,4,2,1]=>[5,3,1,3,1,5]
[4,1,4,1,2,2]=>[3,1,5,1,3,5]
[4,1,4,2,1,2]=>[4,1,4,3,1,3]
[4,1,4,2,2,1]=>[5,1,3,3,1,5]
[4,2,1,1,2,4]=>[2,5,5,2,1,1]
[4,2,1,1,4,2]=>[3,2,2,1,1,3]
[4,2,1,2,1,4]=>[5,2,5,1,2,1]
[4,2,1,2,4,1]=>[3,2,3,1,1,2]
[4,2,1,4,1,2]=>[5,3,1,1,3,5]
[4,2,1,4,2,1]=>[3,5,1,3,1,5]
[4,2,2,1,1,4]=>[5,5,2,1,2,1]
[4,2,2,1,4,1]=>[3,3,2,1,1,2]
[4,2,2,4,1,1]=>[4,4,1,1,3,3]
[4,2,4,1,1,2]=>[5,1,3,1,3,5]
[4,2,4,1,2,1]=>[4,1,4,1,3,3]
[4,2,4,2,1,1]=>[3,1,5,3,1,5]
[4,4,1,1,2,2]=>[1,3,5,1,3,5]
[4,4,1,2,1,2]=>[1,5,3,1,3,5]
[4,4,1,2,2,1]=>[1,4,4,1,3,3]
[4,4,2,1,1,2]=>[1,4,4,3,1,3]
[4,4,2,1,2,1]=>[1,5,3,3,1,5]
[4,4,2,2,1,1]=>[1,3,5,3,1,5]
[1,1,2,2,4,5]=>[1,1,2,4,2,6]
[1,1,2,2,5,4]=>[1,1,4,2,2,6]
[1,1,2,4,2,5]=>[1,1,2,2,4,5]
[1,1,2,4,5,2]=>[1,1,4,2,6,2]
[1,1,2,5,2,4]=>[1,1,2,2,5,4]
[1,1,2,5,4,2]=>[1,1,2,4,6,2]
[1,1,4,2,2,5]=>[3,1,1,4,4,5]
[1,1,4,2,5,2]=>[3,1,1,4,5,4]
[1,1,4,5,2,2]=>[4,1,1,3,5,5]
[1,1,5,2,2,4]=>[3,1,4,1,4,5]
[1,1,5,2,4,2]=>[3,1,4,1,5,4]
[1,1,5,4,2,2]=>[4,1,3,1,5,5]
[1,2,1,2,4,5]=>[1,2,2,5,1,6]
[1,2,1,2,5,4]=>[1,2,5,2,1,6]
[1,2,1,4,2,5]=>[2,4,1,4,1,6]
[1,2,1,4,5,2]=>[4,5,1,2,1,5]
[1,2,1,5,2,4]=>[2,4,4,1,1,6]
[1,2,1,5,4,2]=>[4,5,2,1,1,5]
[1,2,2,1,4,5]=>[1,2,1,3,2,6]
[1,2,2,1,5,4]=>[1,2,3,1,2,6]
[1,2,2,4,1,5]=>[2,4,1,1,4,3]
[1,2,2,4,5,1]=>[4,5,2,1,5,1]
[1,2,2,5,1,4]=>[3,5,1,1,5,2]
[1,2,2,5,4,1]=>[4,5,1,2,5,1]
[1,2,4,1,2,5]=>[1,2,1,2,3,5]
[1,2,4,1,5,2]=>[3,5,1,1,2,5]
[1,2,4,2,1,5]=>[1,2,2,1,5,3]
[1,2,4,2,5,1]=>[2,4,4,1,6,1]
[1,2,4,5,1,2]=>[1,2,3,1,6,2]
[1,2,4,5,2,1]=>[1,2,5,2,6,1]
[1,2,5,1,2,4]=>[1,2,2,1,3,5]
[1,2,5,1,4,2]=>[2,4,1,1,3,4]
[1,2,5,2,1,4]=>[1,2,1,2,5,3]
[1,2,5,2,4,1]=>[2,4,1,4,6,1]
[1,2,5,4,1,2]=>[1,2,1,3,6,2]
[1,2,5,4,2,1]=>[1,2,2,5,6,1]
[1,4,1,2,2,5]=>[1,3,1,2,2,4]
[1,4,1,2,5,2]=>[1,3,1,2,4,2]
[1,4,1,5,2,2]=>[3,2,1,1,5,5]
[1,4,2,1,2,5]=>[1,4,2,2,1,5]
[1,4,2,1,5,2]=>[2,5,4,1,1,4]
[1,4,2,2,1,5]=>[1,4,2,1,2,3]
[1,4,2,2,5,1]=>[2,5,4,1,4,1]
[1,4,2,5,1,2]=>[1,4,2,1,3,2]
[1,4,2,5,2,1]=>[1,4,2,2,5,1]
[1,4,5,1,2,2]=>[1,6,3,1,2,2]
[1,4,5,2,1,2]=>[1,6,4,2,1,2]
[1,4,5,2,2,1]=>[1,6,4,2,2,1]
[1,5,1,2,2,4]=>[1,3,2,1,2,4]
[1,5,1,2,4,2]=>[1,3,2,1,4,2]
[1,5,1,4,2,2]=>[2,3,1,1,4,4]
[1,5,2,1,2,4]=>[1,5,2,2,1,4]
[1,5,2,1,4,2]=>[2,5,1,4,1,4]
[1,5,2,2,1,4]=>[1,4,1,2,2,3]
[1,5,2,2,4,1]=>[2,5,1,4,4,1]
[1,5,2,4,1,2]=>[1,4,1,2,3,2]
[1,5,2,4,2,1]=>[1,5,2,2,4,1]
[1,5,4,1,2,2]=>[1,6,1,3,2,2]
[1,5,4,2,1,2]=>[1,6,2,4,1,2]
[1,5,4,2,2,1]=>[1,6,2,4,2,1]
[2,1,1,2,4,5]=>[5,1,2,5,1,4]
[2,1,1,2,5,4]=>[5,2,1,5,1,4]
[2,1,1,4,2,5]=>[5,1,1,5,2,3]
[2,1,1,4,5,2]=>[3,2,1,3,4,1]
[2,1,1,5,2,4]=>[4,1,1,4,3,2]
[2,1,1,5,4,2]=>[3,1,2,3,4,1]
[2,1,2,1,4,5]=>[3,5,3,1,6,1]
[2,1,2,1,5,4]=>[3,3,5,1,6,1]
[2,1,2,4,1,5]=>[4,1,4,1,6,2]
[2,1,2,4,5,1]=>[5,1,2,1,5,4]
[2,1,2,5,1,4]=>[4,4,1,1,6,2]
[2,1,2,5,4,1]=>[5,2,1,1,5,4]
[2,1,4,1,2,5]=>[4,4,1,6,1,2]
[2,1,4,1,5,2]=>[3,3,1,6,2,1]
[2,1,4,2,1,5]=>[3,1,3,2,6,1]
[2,1,4,2,5,1]=>[5,1,1,2,5,3]
[2,1,4,5,1,2]=>[3,5,3,6,1,1]
[2,1,4,5,2,1]=>[3,2,1,4,3,1]
[2,1,5,1,2,4]=>[4,1,4,6,1,2]
[2,1,5,1,4,2]=>[3,1,3,6,2,1]
[2,1,5,2,1,4]=>[3,3,1,2,6,1]
[2,1,5,2,4,1]=>[4,1,1,3,4,2]
[2,1,5,4,1,2]=>[3,3,5,6,1,1]
[2,1,5,4,2,1]=>[3,1,2,4,3,1]
[2,2,1,1,4,5]=>[1,4,3,3,6,1]
[2,2,1,1,5,4]=>[1,3,4,3,6,1]
[2,2,1,4,1,5]=>[1,3,3,4,5,1]
[2,2,1,4,5,1]=>[1,4,3,6,3,1]
[2,2,1,5,1,4]=>[1,3,3,5,4,1]
[2,2,1,5,4,1]=>[1,3,4,6,3,1]
[2,2,4,1,1,5]=>[1,1,4,4,5,3]
[2,2,4,1,5,1]=>[1,1,4,5,4,3]
[2,2,4,5,1,1]=>[1,1,3,5,5,4]
[2,2,5,1,1,4]=>[1,4,1,4,5,3]
[2,2,5,1,4,1]=>[1,4,1,5,4,3]
[2,2,5,4,1,1]=>[1,3,1,5,5,4]
[2,4,1,1,2,5]=>[5,4,1,4,1,2]
[2,4,1,1,5,2]=>[5,3,1,3,2,1]
[2,4,1,2,1,5]=>[4,3,3,1,5,1]
[2,4,1,2,5,1]=>[5,4,1,1,4,2]
[2,4,1,5,1,2]=>[4,3,3,5,1,1]
[2,4,1,5,2,1]=>[5,3,1,2,3,1]
[2,4,2,1,1,5]=>[2,1,3,3,5,1]
[2,4,2,1,5,1]=>[2,1,3,5,3,1]
[2,4,2,5,1,1]=>[2,1,1,5,5,3]
[2,4,5,1,1,2]=>[6,4,3,3,1,1]
[2,4,5,1,2,1]=>[6,4,3,1,3,1]
[2,4,5,2,1,1]=>[4,2,1,3,3,1]
[2,5,1,1,2,4]=>[5,1,4,4,1,2]
[2,5,1,1,4,2]=>[5,1,3,3,2,1]
[2,5,1,2,1,4]=>[5,3,3,1,4,1]
[2,5,1,2,4,1]=>[5,1,4,1,4,2]
[2,5,1,4,1,2]=>[5,3,3,4,1,1]
[2,5,1,4,2,1]=>[5,1,3,2,3,1]
[2,5,2,1,1,4]=>[2,3,1,3,5,1]
[2,5,2,1,4,1]=>[2,3,1,5,3,1]
[2,5,2,4,1,1]=>[3,1,1,4,4,2]
[2,5,4,1,1,2]=>[6,3,4,3,1,1]
[2,5,4,1,2,1]=>[6,3,4,1,3,1]
[2,5,4,2,1,1]=>[4,1,2,3,3,1]
[4,1,1,2,2,5]=>[4,2,4,1,2,5]
[4,1,1,2,5,2]=>[2,2,5,1,3,5]
[4,1,1,5,2,2]=>[4,2,5,1,2,4]
[4,1,2,1,2,5]=>[4,4,2,1,2,5]
[4,1,2,1,5,2]=>[2,5,2,1,3,5]
[4,1,2,2,1,5]=>[2,4,4,1,2,3]
[4,1,2,2,5,1]=>[2,5,5,1,3,2]
[4,1,2,5,1,2]=>[2,4,3,1,2,4]
[4,1,2,5,2,1]=>[3,3,5,1,2,2]
[4,1,5,1,2,2]=>[2,3,4,1,2,4]
[4,1,5,2,1,2]=>[4,5,2,1,2,4]
[4,1,5,2,2,1]=>[3,5,3,1,2,2]
[4,2,1,1,2,5]=>[2,4,4,2,1,3]
[4,2,1,1,5,2]=>[2,5,5,3,1,2]
[4,2,1,2,1,5]=>[4,4,2,2,1,5]
[4,2,1,2,5,1]=>[2,5,2,3,1,5]
[4,2,1,5,1,2]=>[3,3,5,2,1,2]
[4,2,1,5,2,1]=>[2,4,3,2,1,4]
[4,2,2,1,1,5]=>[4,2,4,2,1,5]
[4,2,2,1,5,1]=>[2,2,5,3,1,5]
[4,2,2,5,1,1]=>[4,2,5,2,1,4]
[4,2,5,1,1,2]=>[3,5,3,2,1,2]
[4,2,5,1,2,1]=>[4,5,2,2,1,4]
[4,2,5,2,1,1]=>[2,3,4,2,1,4]
[4,5,1,1,2,2]=>[1,3,5,2,3,5]
[4,5,1,2,1,2]=>[1,5,3,2,3,5]
[4,5,1,2,2,1]=>[1,4,4,2,3,3]
[4,5,2,1,1,2]=>[1,4,4,3,2,3]
[4,5,2,1,2,1]=>[1,5,3,3,2,5]
[4,5,2,2,1,1]=>[1,3,5,3,2,5]
[5,1,1,2,2,4]=>[2,4,1,2,6,4]
[5,1,1,2,4,2]=>[2,5,1,4,5,2]
[5,1,1,4,2,2]=>[2,6,1,2,4,4]
[5,1,2,1,2,4]=>[4,2,1,2,6,4]
[5,1,2,1,4,2]=>[5,2,1,4,5,2]
[5,1,2,2,1,4]=>[3,3,1,2,4,2]
[5,1,2,2,4,1]=>[5,5,1,4,2,2]
[5,1,2,4,1,2]=>[3,6,1,2,2,3]
[5,1,2,4,2,1]=>[3,4,1,2,3,2]
[5,1,4,1,2,2]=>[6,2,1,2,4,4]
[5,1,4,2,1,2]=>[6,3,1,2,2,3]
[5,1,4,2,2,1]=>[4,3,1,2,3,2]
[5,2,1,1,2,4]=>[3,3,2,1,4,2]
[5,2,1,1,4,2]=>[5,5,4,1,2,2]
[5,2,1,2,1,4]=>[4,2,2,1,6,4]
[5,2,1,2,4,1]=>[5,2,4,1,5,2]
[5,2,1,4,1,2]=>[3,4,2,1,3,2]
[5,2,1,4,2,1]=>[3,6,2,1,2,3]
[5,2,2,1,1,4]=>[2,4,2,1,6,4]
[5,2,2,1,4,1]=>[2,5,4,1,5,2]
[5,2,2,4,1,1]=>[2,6,2,1,4,4]
[5,2,4,1,1,2]=>[4,3,2,1,3,2]
[5,2,4,1,2,1]=>[6,3,2,1,2,3]
[5,2,4,2,1,1]=>[6,2,2,1,4,4]
[5,4,1,1,2,2]=>[4,4,3,2,3,1]
[5,4,1,2,1,2]=>[5,3,3,2,5,1]
[5,4,1,2,2,1]=>[3,5,2,3,5,1]
[5,4,2,1,1,2]=>[3,5,3,2,5,1]
[5,4,2,1,2,1]=>[5,3,2,3,5,1]
[5,4,2,2,1,1]=>[4,4,2,3,3,1]
[1,1,2,2,4,6]=>[1,1,2,2,4,6]
[1,1,2,2,6,4]=>[1,1,5,2,2,6]
[1,1,2,4,2,6]=>[1,1,2,4,2,5]
[1,1,2,4,6,2]=>[1,1,4,6,2,2]
[1,1,2,6,2,4]=>[1,1,2,5,2,4]
[1,1,2,6,4,2]=>[1,1,2,6,4,2]
[1,1,4,2,2,6]=>[3,1,1,4,4,6]
[1,1,4,2,6,2]=>[3,1,1,5,4,4]
[1,1,4,6,2,2]=>[4,1,1,5,3,5]
[1,1,6,2,2,4]=>[3,1,4,4,1,5]
[1,1,6,2,4,2]=>[4,1,3,5,1,5]
[1,1,6,4,2,2]=>[3,1,4,5,1,4]
[1,2,1,2,4,6]=>[1,2,2,1,5,6]
[1,2,1,2,6,4]=>[1,2,5,1,2,6]
[1,2,1,4,2,6]=>[2,4,1,1,4,6]
[1,2,1,4,6,2]=>[4,5,1,1,2,5]
[1,2,1,6,2,4]=>[3,4,4,1,1,6]
[1,2,1,6,4,2]=>[4,5,3,1,1,5]
[1,2,2,1,4,6]=>[1,2,1,2,3,6]
[1,2,2,1,6,4]=>[1,2,3,2,1,6]
[1,2,2,4,1,6]=>[2,4,1,4,1,3]
[1,2,2,4,6,1]=>[4,5,2,5,1,1]
[1,2,2,6,1,4]=>[3,5,1,5,1,2]
[1,2,2,6,4,1]=>[4,5,1,5,2,1]
[1,2,4,1,2,6]=>[1,2,1,3,2,5]
[1,2,4,1,6,2]=>[3,5,1,2,1,5]
[1,2,4,2,1,6]=>[1,2,2,5,1,3]
[1,2,4,2,6,1]=>[2,4,4,6,1,1]
[1,2,4,6,1,2]=>[1,2,3,6,1,2]
[1,2,4,6,2,1]=>[1,2,5,6,2,1]
[1,2,6,1,2,4]=>[1,2,2,3,1,5]
[1,2,6,1,4,2]=>[2,4,1,3,1,4]
[1,2,6,2,1,4]=>[1,2,1,5,2,3]
[1,2,6,2,4,1]=>[2,4,1,6,4,1]
[1,2,6,4,1,2]=>[1,2,1,6,3,2]
[1,2,6,4,2,1]=>[1,2,2,6,5,1]
[1,4,1,2,2,6]=>[1,3,1,2,2,5]
[1,4,1,2,6,2]=>[1,3,1,4,2,2]
[1,4,1,6,2,2]=>[3,2,1,5,1,5]
[1,4,2,1,2,6]=>[1,4,2,1,2,5]
[1,4,2,1,6,2]=>[3,5,4,1,1,4]
[1,4,2,2,1,6]=>[1,4,2,2,1,3]
[1,4,2,2,6,1]=>[2,5,4,4,1,1]
[1,4,2,6,1,2]=>[1,4,2,3,1,2]
[1,4,2,6,2,1]=>[1,4,2,5,2,1]
[1,4,6,1,2,2]=>[1,6,4,1,2,2]
[1,4,6,2,1,2]=>[1,6,3,2,1,2]
[1,4,6,2,2,1]=>[1,6,5,2,2,1]
[1,6,1,2,2,4]=>[1,5,2,1,2,4]
[1,6,1,2,4,2]=>[1,6,2,1,4,2]
[1,6,1,4,2,2]=>[2,5,1,1,4,4]
[1,6,2,1,2,4]=>[1,3,2,2,1,4]
[1,6,2,1,4,2]=>[2,3,1,4,1,4]
[1,6,2,2,1,4]=>[1,5,1,2,2,3]
[1,6,2,2,4,1]=>[2,6,1,4,4,1]
[1,6,2,4,1,2]=>[1,6,1,2,3,2]
[1,6,2,4,2,1]=>[1,6,2,2,4,1]
[1,6,4,1,2,2]=>[1,4,1,3,2,2]
[1,6,4,2,1,2]=>[1,3,2,4,1,2]
[1,6,4,2,2,1]=>[1,5,2,4,2,1]
[2,1,1,2,4,6]=>[5,1,5,2,1,4]
[2,1,1,2,6,4]=>[5,2,5,1,1,4]
[2,1,1,4,2,6]=>[5,1,5,1,2,3]
[2,1,1,4,6,2]=>[3,2,3,1,4,1]
[2,1,1,6,2,4]=>[4,1,4,1,3,2]
[2,1,1,6,4,2]=>[3,1,3,2,4,1]
[2,1,2,1,4,6]=>[3,5,1,3,6,1]
[2,1,2,1,6,4]=>[3,3,1,5,6,1]
[2,1,2,4,1,6]=>[4,1,1,4,6,2]
[2,1,2,4,6,1]=>[5,1,1,2,5,4]
[2,1,2,6,1,4]=>[4,4,1,1,6,3]
[2,1,2,6,4,1]=>[5,3,1,1,5,4]
[2,1,4,1,2,6]=>[4,4,6,1,1,2]
[2,1,4,1,6,2]=>[3,3,6,1,2,1]
[2,1,4,2,1,6]=>[3,1,2,3,6,1]
[2,1,4,2,6,1]=>[5,1,2,1,5,3]
[2,1,4,6,1,2]=>[3,5,6,3,1,1]
[2,1,4,6,2,1]=>[3,2,4,1,3,1]
[2,1,6,1,2,4]=>[4,1,6,4,1,2]
[2,1,6,1,4,2]=>[3,1,6,3,2,1]
[2,1,6,2,1,4]=>[3,3,2,1,6,1]
[2,1,6,2,4,1]=>[4,1,3,1,4,2]
[2,1,6,4,1,2]=>[3,3,6,5,1,1]
[2,1,6,4,2,1]=>[3,1,4,2,3,1]
[2,2,1,1,4,6]=>[1,5,3,3,6,1]
[2,2,1,1,6,4]=>[1,3,3,4,6,1]
[2,2,1,4,1,6]=>[1,3,4,3,5,1]
[2,2,1,4,6,1]=>[1,4,6,3,3,1]
[2,2,1,6,1,4]=>[1,3,5,3,4,1]
[2,2,1,6,4,1]=>[1,3,6,4,3,1]
[2,2,4,1,1,6]=>[1,1,4,4,6,3]
[2,2,4,1,6,1]=>[1,1,5,4,4,3]
[2,2,4,6,1,1]=>[1,1,5,3,5,4]
[2,2,6,1,1,4]=>[1,4,4,1,5,3]
[2,2,6,1,4,1]=>[1,3,5,1,5,4]
[2,2,6,4,1,1]=>[1,4,5,1,4,3]
[2,4,1,1,2,6]=>[5,4,4,1,1,2]
[2,4,1,1,6,2]=>[5,3,3,1,2,1]
[2,4,1,2,1,6]=>[4,3,1,3,5,1]
[2,4,1,2,6,1]=>[5,4,1,1,4,3]
[2,4,1,6,1,2]=>[4,3,5,3,1,1]
[2,4,1,6,2,1]=>[5,3,2,1,3,1]
[2,4,2,1,1,6]=>[2,1,3,3,6,1]
[2,4,2,1,6,1]=>[2,1,5,3,3,1]
[2,4,2,6,1,1]=>[2,1,5,1,5,3]
[2,4,6,1,1,2]=>[6,5,3,3,1,1]
[2,4,6,1,2,1]=>[4,2,3,1,3,1]
[2,4,6,2,1,1]=>[6,4,1,3,3,1]
[2,6,1,1,2,4]=>[6,1,4,4,1,2]
[2,6,1,1,4,2]=>[6,1,3,3,2,1]
[2,6,1,2,1,4]=>[2,3,3,1,5,1]
[2,6,1,2,4,1]=>[3,1,4,1,4,2]
[2,6,1,4,1,2]=>[6,3,3,4,1,1]
[2,6,1,4,2,1]=>[4,1,3,2,3,1]
[2,6,2,1,1,4]=>[5,3,1,3,4,1]
[2,6,2,1,4,1]=>[6,3,1,4,3,1]
[2,6,2,4,1,1]=>[5,1,1,4,4,2]
[2,6,4,1,1,2]=>[5,3,4,3,1,1]
[2,6,4,1,2,1]=>[2,3,5,1,3,1]
[2,6,4,2,1,1]=>[5,1,2,3,3,1]
[4,1,1,2,2,6]=>[2,4,4,1,2,5]
[4,1,1,2,6,2]=>[2,2,5,1,4,5]
[4,1,1,6,2,2]=>[2,4,5,1,2,4]
[4,1,2,1,2,6]=>[4,4,2,1,2,6]
[4,1,2,1,6,2]=>[5,2,2,1,3,5]
[4,1,2,2,1,6]=>[4,2,4,1,2,3]
[4,1,2,2,6,1]=>[5,2,5,1,3,2]
[4,1,2,6,1,2]=>[4,2,3,1,2,4]
[4,1,2,6,2,1]=>[3,3,6,1,2,2]
[4,1,6,1,2,2]=>[3,2,4,1,2,4]
[4,1,6,2,1,2]=>[5,4,2,1,2,4]
[4,1,6,2,2,1]=>[5,3,3,1,2,2]
[4,2,1,1,2,6]=>[4,2,4,2,1,3]
[4,2,1,1,6,2]=>[5,2,5,3,1,2]
[4,2,1,2,1,6]=>[4,4,2,2,1,6]
[4,2,1,2,6,1]=>[5,2,2,3,1,5]
[4,2,1,6,1,2]=>[3,3,6,2,1,2]
[4,2,1,6,2,1]=>[4,2,3,2,1,4]
[4,2,2,1,1,6]=>[2,4,4,2,1,5]
[4,2,2,1,6,1]=>[2,2,5,4,1,5]
[4,2,2,6,1,1]=>[2,4,5,2,1,4]
[4,2,6,1,1,2]=>[5,3,3,2,1,2]
[4,2,6,1,2,1]=>[5,4,2,2,1,4]
[4,2,6,2,1,1]=>[3,2,4,2,1,4]
[4,6,1,1,2,2]=>[3,1,5,2,3,5]
[4,6,1,2,1,2]=>[4,1,4,3,2,3]
[4,6,1,2,2,1]=>[5,1,3,3,2,5]
[4,6,2,1,1,2]=>[5,1,3,2,3,5]
[4,6,2,1,2,1]=>[4,1,4,2,3,3]
[4,6,2,2,1,1]=>[3,1,5,3,2,5]
[6,1,1,2,2,4]=>[2,1,2,4,4,6]
[6,1,1,2,4,2]=>[2,1,2,5,4,4]
[6,1,1,4,2,2]=>[2,1,4,5,2,5]
[6,1,2,1,2,4]=>[3,1,2,2,3,6]
[6,1,2,1,4,2]=>[5,1,4,2,2,5]
[6,1,2,2,1,4]=>[3,1,2,3,2,4]
[6,1,2,2,4,1]=>[5,1,3,5,2,2]
[6,1,2,4,1,2]=>[3,1,2,4,2,3]
[6,1,2,4,2,1]=>[3,1,2,6,3,2]
[6,1,4,1,2,2]=>[5,1,2,2,3,3]
[6,1,4,2,1,2]=>[4,1,2,3,2,3]
[6,1,4,2,2,1]=>[6,1,2,3,3,2]
[6,2,1,1,2,4]=>[3,2,1,3,2,4]
[6,2,1,1,4,2]=>[5,3,1,5,2,2]
[6,2,1,2,1,4]=>[3,2,1,2,3,6]
[6,2,1,2,4,1]=>[5,4,1,2,2,5]
[6,2,1,4,1,2]=>[3,2,1,6,3,2]
[6,2,1,4,2,1]=>[3,2,1,4,2,3]
[6,2,2,1,1,4]=>[2,2,1,4,4,6]
[6,2,2,1,4,1]=>[2,2,1,5,4,4]
[6,2,2,4,1,1]=>[2,4,1,5,2,5]
[6,2,4,1,1,2]=>[6,2,1,3,3,2]
[6,2,4,1,2,1]=>[4,2,1,3,2,3]
[6,2,4,2,1,1]=>[5,2,1,2,3,3]
[6,4,1,1,2,2]=>[4,3,2,4,1,3]
[6,4,1,2,1,2]=>[3,2,3,5,1,5]
[6,4,1,2,2,1]=>[4,3,2,3,1,4]
[6,4,2,1,1,2]=>[4,2,3,3,1,4]
[6,4,2,1,2,1]=>[3,3,2,5,1,5]
[6,4,2,2,1,1]=>[4,2,3,4,1,3]
[1,1,2,2,5,5]=>[1,1,2,2,5,5]
[1,1,2,5,2,5]=>[1,1,4,2,2,4]
[1,1,2,5,5,2]=>[1,1,4,2,4,2]
[1,1,5,2,2,5]=>[3,1,4,1,4,3]
[1,1,5,2,5,2]=>[3,1,4,1,3,4]
[1,1,5,5,2,2]=>[3,1,3,1,4,4]
[1,2,1,2,5,5]=>[1,2,1,2,5,5]
[1,2,1,5,2,5]=>[3,4,1,1,4,3]
[1,2,1,5,5,2]=>[3,4,1,1,3,4]
[1,2,2,1,5,5]=>[1,2,2,1,3,3]
[1,2,2,5,1,5]=>[2,4,4,1,1,2]
[1,2,2,5,5,1]=>[2,4,4,1,2,1]
[1,2,5,1,2,5]=>[1,2,5,2,1,5]
[1,2,5,1,5,2]=>[2,4,2,1,1,4]
[1,2,5,2,1,5]=>[1,2,3,1,2,3]
[1,2,5,2,5,1]=>[2,4,2,1,4,1]
[1,2,5,5,1,2]=>[1,2,3,1,3,2]
[1,2,5,5,2,1]=>[1,2,5,2,5,1]
[1,5,1,2,2,5]=>[1,4,1,2,2,4]
[1,5,1,2,5,2]=>[1,4,1,2,4,2]
[1,5,1,5,2,2]=>[3,3,1,1,4,4]
[1,5,2,1,2,5]=>[1,5,2,2,1,5]
[1,5,2,1,5,2]=>[2,2,4,1,1,4]
[1,5,2,2,1,5]=>[1,3,2,1,2,3]
[1,5,2,2,5,1]=>[2,2,4,1,4,1]
[1,5,2,5,1,2]=>[1,3,2,1,3,2]
[1,5,2,5,2,1]=>[1,5,2,2,5,1]
[1,5,5,1,2,2]=>[1,3,3,1,2,2]
[1,5,5,2,1,2]=>[1,4,4,2,1,2]
[1,5,5,2,2,1]=>[1,4,4,2,2,1]
[2,1,1,2,5,5]=>[5,5,1,1,2,2]
[2,1,1,5,2,5]=>[5,5,1,2,1,2]
[2,1,1,5,5,2]=>[3,3,1,2,2,1]
[2,1,2,1,5,5]=>[3,1,3,5,5,1]
[2,1,2,5,1,5]=>[5,1,1,5,3,3]
[2,1,2,5,5,1]=>[5,1,1,3,5,3]
[2,1,5,1,2,5]=>[5,2,1,5,1,2]
[2,1,5,1,5,2]=>[3,2,1,3,2,1]
[2,1,5,2,1,5]=>[3,5,3,1,5,1]
[2,1,5,2,5,1]=>[5,2,1,1,5,2]
[2,1,5,5,1,2]=>[3,5,3,5,1,1]
[2,1,5,5,2,1]=>[3,2,1,2,3,1]
[2,2,1,1,5,5]=>[1,3,3,5,5,1]
[2,2,1,5,1,5]=>[1,4,3,3,4,1]
[2,2,1,5,5,1]=>[1,4,3,4,3,1]
[2,2,5,1,1,5]=>[1,5,1,5,3,3]
[2,2,5,1,5,1]=>[1,5,1,3,5,3]
[2,2,5,5,1,1]=>[1,3,1,5,5,3]
[2,5,1,1,2,5]=>[2,5,1,5,1,2]
[2,5,1,1,5,2]=>[2,3,1,3,2,1]
[2,5,1,2,1,5]=>[5,3,3,1,5,1]
[2,5,1,2,5,1]=>[2,5,1,1,5,2]
[2,5,1,5,1,2]=>[5,3,3,5,1,1]
[2,5,1,5,2,1]=>[2,3,1,2,3,1]
[2,5,2,1,1,5]=>[4,1,3,3,4,1]
[2,5,2,1,5,1]=>[4,1,3,4,3,1]
[2,5,2,5,1,1]=>[3,1,1,5,5,3]
[2,5,5,1,1,2]=>[4,4,3,3,1,1]
[2,5,5,1,2,1]=>[4,4,3,1,3,1]
[2,5,5,2,1,1]=>[2,2,1,3,3,1]
[5,1,1,2,2,5]=>[4,4,2,1,2,1]
[5,1,1,2,5,2]=>[4,4,2,1,1,2]
[5,1,1,5,2,2]=>[2,2,1,1,3,3]
[5,1,2,1,2,5]=>[5,2,2,1,5,1]
[5,1,2,1,5,2]=>[2,3,1,1,2,3]
[5,1,2,2,1,5]=>[2,5,1,2,5,1]
[5,1,2,2,5,1]=>[2,3,1,1,3,2]
[5,1,2,5,1,2]=>[2,5,1,2,1,5]
[5,1,2,5,2,1]=>[5,2,2,1,1,5]
[5,1,5,1,2,2]=>[3,1,1,3,5,5]
[5,1,5,2,1,2]=>[4,1,3,1,4,3]
[5,1,5,2,2,1]=>[4,1,3,1,3,4]
[5,2,1,1,2,5]=>[2,5,2,1,5,1]
[5,2,1,1,5,2]=>[3,2,1,1,2,3]
[5,2,1,2,1,5]=>[5,2,1,2,5,1]
[5,2,1,2,5,1]=>[3,2,1,1,3,2]
[5,2,1,5,1,2]=>[5,2,1,2,1,5]
[5,2,1,5,2,1]=>[2,5,2,1,1,5]
[5,2,2,1,1,5]=>[4,4,1,2,2,1]
[5,2,2,1,5,1]=>[4,4,1,2,1,2]
[5,2,2,5,1,1]=>[3,3,1,1,2,2]
[5,2,5,1,1,2]=>[4,1,1,3,3,4]
[5,2,5,1,2,1]=>[4,1,1,3,4,3]
[5,2,5,2,1,1]=>[3,1,3,1,5,5]
[5,5,1,1,2,2]=>[1,3,1,3,5,5]
[5,5,1,2,1,2]=>[1,4,1,3,3,4]
[5,5,1,2,2,1]=>[1,4,1,3,4,3]
[5,5,2,1,1,2]=>[1,4,3,1,4,3]
[5,5,2,1,2,1]=>[1,4,3,1,3,4]
[5,5,2,2,1,1]=>[1,3,3,1,5,5]
[1,1,2,2,5,6]=>[1,1,2,2,5,6]
[1,1,2,2,6,5]=>[1,1,2,5,2,6]
[1,1,2,5,2,6]=>[1,1,4,2,2,5]
[1,1,2,5,6,2]=>[1,1,6,4,2,2]
[1,1,2,6,2,5]=>[1,1,5,2,2,4]
[1,1,2,6,5,2]=>[1,1,6,2,4,2]
[1,1,5,2,2,6]=>[3,1,4,1,4,6]
[1,1,5,2,6,2]=>[4,1,5,1,3,5]
[1,1,5,6,2,2]=>[3,1,5,1,4,4]
[1,1,6,2,2,5]=>[3,1,4,4,1,6]
[1,1,6,2,5,2]=>[4,1,5,3,1,5]
[1,1,6,5,2,2]=>[3,1,5,4,1,4]
[1,2,1,2,5,6]=>[1,2,1,2,5,6]
[1,2,1,2,6,5]=>[1,2,1,5,2,6]
[1,2,1,5,2,6]=>[3,4,1,1,4,6]
[1,2,1,5,6,2]=>[4,5,1,1,3,5]
[1,2,1,6,2,5]=>[3,4,1,4,1,6]
[1,2,1,6,5,2]=>[4,5,1,3,1,5]
[1,2,2,1,5,6]=>[1,2,2,1,3,6]
[1,2,2,1,6,5]=>[1,2,2,3,1,6]
[1,2,2,5,1,6]=>[2,4,4,1,1,3]
[1,2,2,5,6,1]=>[4,5,5,2,1,1]
[1,2,2,6,1,5]=>[3,5,5,1,1,2]
[1,2,2,6,5,1]=>[4,5,5,1,2,1]
[1,2,5,1,2,6]=>[1,2,3,1,2,5]
[1,2,5,1,6,2]=>[3,5,2,1,1,5]
[1,2,5,2,1,6]=>[1,2,5,2,1,3]
[1,2,5,2,6,1]=>[2,4,6,4,1,1]
[1,2,5,6,1,2]=>[1,2,6,3,1,2]
[1,2,5,6,2,1]=>[1,2,6,5,2,1]
[1,2,6,1,2,5]=>[1,2,3,2,1,5]
[1,2,6,1,5,2]=>[2,4,3,1,1,4]
[1,2,6,2,1,5]=>[1,2,5,1,2,3]
[1,2,6,2,5,1]=>[2,4,6,1,4,1]
[1,2,6,5,1,2]=>[1,2,6,1,3,2]
[1,2,6,5,2,1]=>[1,2,6,2,5,1]
[1,5,1,2,2,6]=>[1,4,1,2,2,5]
[1,5,1,2,6,2]=>[1,6,1,4,2,2]
[1,5,1,6,2,2]=>[3,5,1,4,1,4]
[1,5,2,1,2,6]=>[1,3,2,1,2,5]
[1,5,2,1,6,2]=>[3,2,5,1,1,5]
[1,5,2,2,1,6]=>[1,5,2,2,1,3]
[1,5,2,2,6,1]=>[2,6,4,4,1,1]
[1,5,2,6,1,2]=>[1,6,2,3,1,2]
[1,5,2,6,2,1]=>[1,6,2,5,2,1]
[1,5,6,1,2,2]=>[1,3,4,1,2,2]
[1,5,6,2,1,2]=>[1,4,3,2,1,2]
[1,5,6,2,2,1]=>[1,4,5,2,2,1]
[1,6,1,2,2,5]=>[1,5,1,2,2,4]
[1,6,1,2,5,2]=>[1,6,1,2,4,2]
[1,6,1,5,2,2]=>[3,5,1,1,4,4]
[1,6,2,1,2,5]=>[1,3,2,2,1,5]
[1,6,2,1,5,2]=>[2,3,4,1,1,4]
[1,6,2,2,1,5]=>[1,5,2,1,2,3]
[1,6,2,2,5,1]=>[2,6,4,1,4,1]
[1,6,2,5,1,2]=>[1,6,2,1,3,2]
[1,6,2,5,2,1]=>[1,6,2,2,5,1]
[1,6,5,1,2,2]=>[1,4,3,1,2,2]
[1,6,5,2,1,2]=>[1,3,4,2,1,2]
[1,6,5,2,2,1]=>[1,5,4,2,2,1]
[2,1,1,2,5,6]=>[5,5,1,2,1,4]
[2,1,1,2,6,5]=>[5,5,2,1,1,4]
[2,1,1,5,2,6]=>[5,5,1,1,2,3]
[2,1,1,5,6,2]=>[3,3,2,1,4,1]
[2,1,1,6,2,5]=>[4,4,1,1,3,2]
[2,1,1,6,5,2]=>[3,3,1,2,4,1]
[2,1,2,1,5,6]=>[3,1,5,3,6,1]
[2,1,2,1,6,5]=>[3,1,3,5,6,1]
[2,1,2,5,1,6]=>[4,1,1,4,6,3]
[2,1,2,5,6,1]=>[5,1,1,3,5,4]
[2,1,2,6,1,5]=>[4,1,4,1,6,3]
[2,1,2,6,5,1]=>[5,1,3,1,5,4]
[2,1,5,1,2,6]=>[4,6,4,1,1,2]
[2,1,5,1,6,2]=>[3,6,3,1,2,1]
[2,1,5,2,1,6]=>[3,2,1,3,6,1]
[2,1,5,2,6,1]=>[5,2,1,1,5,3]
[2,1,5,6,1,2]=>[3,6,5,3,1,1]
[2,1,5,6,2,1]=>[3,4,2,1,3,1]
[2,1,6,1,2,5]=>[4,6,1,4,1,2]
[2,1,6,1,5,2]=>[3,6,1,3,2,1]
[2,1,6,2,1,5]=>[3,2,3,1,6,1]
[2,1,6,2,5,1]=>[4,3,1,1,4,2]
[2,1,6,5,1,2]=>[3,6,3,5,1,1]
[2,1,6,5,2,1]=>[3,4,1,2,3,1]
[2,2,1,1,5,6]=>[1,3,5,3,6,1]
[2,2,1,1,6,5]=>[1,3,3,5,6,1]
[2,2,1,5,1,6]=>[1,4,3,3,5,1]
[2,2,1,5,6,1]=>[1,6,4,3,3,1]
[2,2,1,6,1,5]=>[1,5,3,3,4,1]
[2,2,1,6,5,1]=>[1,6,3,4,3,1]
[2,2,5,1,1,6]=>[1,4,1,4,6,3]
[2,2,5,1,6,1]=>[1,5,1,3,5,4]
[2,2,5,6,1,1]=>[1,5,1,4,4,3]
[2,2,6,1,1,5]=>[1,4,4,1,6,3]
[2,2,6,1,5,1]=>[1,5,3,1,5,4]
[2,2,6,5,1,1]=>[1,5,4,1,4,3]
[2,5,1,1,2,6]=>[6,4,4,1,1,2]
[2,5,1,1,6,2]=>[6,3,3,1,2,1]
[2,5,1,2,1,6]=>[2,3,1,3,6,1]
[2,5,1,2,6,1]=>[2,5,1,1,5,3]
[2,5,1,6,1,2]=>[6,3,5,3,1,1]
[2,5,1,6,2,1]=>[4,3,2,1,3,1]
[2,5,2,1,1,6]=>[4,1,3,3,5,1]
[2,5,2,1,6,1]=>[6,1,4,3,3,1]
[2,5,2,6,1,1]=>[5,1,4,1,4,3]
[2,5,6,1,1,2]=>[4,5,3,3,1,1]
[2,5,6,1,2,1]=>[5,2,3,1,3,1]
[2,5,6,2,1,1]=>[2,5,1,3,3,1]
[2,6,1,1,2,5]=>[6,4,1,4,1,2]
[2,6,1,1,5,2]=>[6,3,1,3,2,1]
[2,6,1,2,1,5]=>[2,3,3,1,6,1]
[2,6,1,2,5,1]=>[3,4,1,1,4,2]
[2,6,1,5,1,2]=>[6,3,3,5,1,1]
[2,6,1,5,2,1]=>[4,3,1,2,3,1]
[2,6,2,1,1,5]=>[5,1,3,3,4,1]
[2,6,2,1,5,1]=>[6,1,3,4,3,1]
[2,6,2,5,1,1]=>[5,1,1,4,4,3]
[2,6,5,1,1,2]=>[5,4,3,3,1,1]
[2,6,5,1,2,1]=>[2,5,3,1,3,1]
[2,6,5,2,1,1]=>[5,2,1,3,3,1]
[5,1,1,2,2,6]=>[4,2,1,2,4,5]
[5,1,1,2,6,2]=>[4,2,1,2,5,4]
[5,1,1,6,2,2]=>[2,2,1,3,5,5]
[5,1,2,1,2,6]=>[3,3,1,2,2,5]
[5,1,2,1,6,2]=>[2,5,1,3,2,5]
[5,1,2,2,1,6]=>[2,4,1,2,4,3]
[5,1,2,2,6,1]=>[2,5,1,3,5,2]
[5,1,2,6,1,2]=>[2,4,1,2,3,4]
[5,1,2,6,2,1]=>[3,3,1,2,5,2]
[5,1,6,1,2,2]=>[2,3,1,2,4,4]
[5,1,6,2,1,2]=>[3,5,1,2,2,3]
[5,1,6,2,2,1]=>[3,5,1,2,3,2]
[5,2,1,1,2,6]=>[2,4,2,1,4,3]
[5,2,1,1,6,2]=>[2,5,3,1,5,2]
[5,2,1,2,1,6]=>[3,3,2,1,2,5]
[5,2,1,2,6,1]=>[2,5,3,1,2,5]
[5,2,1,6,1,2]=>[3,3,2,1,5,2]
[5,2,1,6,2,1]=>[2,4,2,1,3,4]
[5,2,2,1,1,6]=>[4,2,2,1,4,5]
[5,2,2,1,6,1]=>[4,2,2,1,5,4]
[5,2,2,6,1,1]=>[2,2,3,1,5,5]
[5,2,6,1,1,2]=>[3,5,2,1,3,2]
[5,2,6,1,2,1]=>[3,5,2,1,2,3]
[5,2,6,2,1,1]=>[2,3,2,1,4,4]
[5,6,1,1,2,2]=>[1,3,2,3,5,5]
[5,6,1,2,1,2]=>[1,4,2,3,3,4]
[5,6,1,2,2,1]=>[1,4,2,3,4,3]
[5,6,2,1,1,2]=>[1,4,3,2,4,3]
[5,6,2,1,2,1]=>[1,4,3,2,3,4]
[5,6,2,2,1,1]=>[1,3,3,2,5,5]
[6,1,1,2,2,5]=>[2,1,2,4,6,4]
[6,1,1,2,5,2]=>[2,1,2,6,4,4]
[6,1,1,5,2,2]=>[2,1,4,5,5,2]
[6,1,2,1,2,5]=>[3,1,2,2,6,3]
[6,1,2,1,5,2]=>[5,1,4,2,5,2]
[6,1,2,2,1,5]=>[3,1,2,3,4,2]
[6,1,2,2,5,1]=>[5,1,4,5,2,2]
[6,1,2,5,1,2]=>[3,1,2,6,2,3]
[6,1,2,5,2,1]=>[3,1,2,4,3,2]
[6,1,5,1,2,2]=>[6,1,2,2,3,3]
[6,1,5,2,1,2]=>[6,1,2,3,2,3]
[6,1,5,2,2,1]=>[4,1,2,3,3,2]
[6,2,1,1,2,5]=>[3,2,1,3,4,2]
[6,2,1,1,5,2]=>[5,4,1,5,2,2]
[6,2,1,2,1,5]=>[3,2,1,2,6,3]
[6,2,1,2,5,1]=>[5,4,1,2,5,2]
[6,2,1,5,1,2]=>[3,2,1,4,3,2]
[6,2,1,5,2,1]=>[3,2,1,6,2,3]
[6,2,2,1,1,5]=>[2,2,1,4,6,4]
[6,2,2,1,5,1]=>[2,2,1,6,4,4]
[6,2,2,5,1,1]=>[2,4,1,5,5,2]
[6,2,5,1,1,2]=>[4,2,1,3,3,2]
[6,2,5,1,2,1]=>[6,2,1,3,2,3]
[6,2,5,2,1,1]=>[6,2,1,2,3,3]
[6,5,1,1,2,2]=>[4,3,2,4,3,1]
[6,5,1,2,1,2]=>[4,3,2,3,4,1]
[6,5,1,2,2,1]=>[3,2,3,5,5,1]
[6,5,2,1,1,2]=>[3,3,2,5,5,1]
[6,5,2,1,2,1]=>[4,2,3,3,4,1]
[6,5,2,2,1,1]=>[4,2,3,4,3,1]
[1,1,2,3,3,3]=>[1,2,1,4,4,4]
[1,1,3,2,3,3]=>[2,1,1,4,2,2]
[1,1,3,3,2,3]=>[2,1,1,2,4,2]
[1,1,3,3,3,2]=>[2,1,1,2,2,4]
[1,2,1,3,3,3]=>[1,1,2,3,3,3]
[1,2,3,1,3,3]=>[2,1,4,1,2,2]
[1,2,3,3,1,3]=>[2,1,4,2,1,2]
[1,2,3,3,3,1]=>[2,1,4,2,2,1]
[1,3,1,2,3,3]=>[1,2,4,1,4,4]
[1,3,1,3,2,3]=>[2,1,2,1,4,2]
[1,3,1,3,3,2]=>[2,1,2,1,2,4]
[1,3,2,1,3,3]=>[1,1,3,2,3,3]
[1,3,2,3,1,3]=>[2,1,2,4,1,2]
[1,3,2,3,3,1]=>[2,1,2,4,2,1]
[1,3,3,1,2,3]=>[1,2,4,4,1,4]
[1,3,3,1,3,2]=>[2,1,2,2,1,4]
[1,3,3,2,1,3]=>[1,1,3,3,2,3]
[1,3,3,2,3,1]=>[2,1,2,2,4,1]
[1,3,3,3,1,2]=>[1,1,3,3,3,2]
[1,3,3,3,2,1]=>[1,2,4,4,4,1]
[2,1,1,3,3,3]=>[2,2,3,3,3,1]
[2,1,3,1,3,3]=>[2,3,2,3,3,1]
[2,1,3,3,1,3]=>[2,3,3,2,3,1]
[2,1,3,3,3,1]=>[2,3,3,3,2,1]
[2,3,1,1,3,3]=>[1,5,5,2,2,2]
[2,3,1,3,1,3]=>[1,5,2,5,2,2]
[2,3,1,3,3,1]=>[1,5,2,2,5,2]
[2,3,3,1,1,3]=>[1,2,5,5,2,2]
[2,3,3,1,3,1]=>[1,2,5,2,5,2]
[2,3,3,3,1,1]=>[1,2,2,5,5,2]
[3,1,1,2,3,3]=>[3,3,4,1,1,1]
[3,1,1,3,2,3]=>[3,3,1,4,1,1]
[3,1,1,3,3,2]=>[5,5,1,1,4,1]
[3,1,2,1,3,3]=>[3,4,3,1,1,1]
[3,1,2,3,1,3]=>[3,4,1,3,1,1]
[3,1,2,3,3,1]=>[4,6,1,1,1,4]
[3,1,3,1,2,3]=>[3,1,3,4,1,1]
[3,1,3,1,3,2]=>[5,1,5,1,4,1]
[3,1,3,2,1,3]=>[3,1,4,3,1,1]
[3,1,3,2,3,1]=>[4,1,6,1,1,4]
[3,1,3,3,1,2]=>[4,1,1,6,1,4]
[3,1,3,3,2,1]=>[5,1,1,5,4,1]
[3,2,1,1,3,3]=>[4,3,3,1,1,1]
[3,2,1,3,1,3]=>[4,3,1,3,1,1]
[3,2,1,3,3,1]=>[6,4,1,1,1,4]
[3,2,3,1,1,3]=>[4,1,3,3,1,1]
[3,2,3,1,3,1]=>[6,1,4,1,1,4]
[3,2,3,3,1,1]=>[6,1,1,4,1,4]
[3,3,1,1,2,3]=>[1,3,3,4,1,1]
[3,3,1,1,3,2]=>[1,5,5,1,4,1]
[3,3,1,2,1,3]=>[1,3,4,3,1,1]
[3,3,1,2,3,1]=>[1,4,6,1,1,4]
[3,3,1,3,1,2]=>[1,4,1,6,1,4]
[3,3,1,3,2,1]=>[1,5,1,5,4,1]
[3,3,2,1,1,3]=>[1,4,3,3,1,1]
[3,3,2,1,3,1]=>[1,6,4,1,1,4]
[3,3,2,3,1,1]=>[1,6,1,4,1,4]
[3,3,3,1,1,2]=>[1,1,4,6,1,4]
[3,3,3,1,2,1]=>[1,1,6,4,1,4]
[3,3,3,2,1,1]=>[1,1,5,5,4,1]
[1,1,2,3,3,4]=>[1,2,4,1,4,5]
[1,1,2,3,4,3]=>[1,2,4,1,5,4]
[1,1,2,4,3,3]=>[1,4,2,1,5,5]
[1,1,3,2,3,4]=>[2,1,2,1,4,5]
[1,1,3,2,4,3]=>[4,1,2,1,6,2]
[1,1,3,3,2,4]=>[2,1,4,1,2,6]
[1,1,3,3,4,2]=>[4,1,2,1,2,6]
[1,1,3,4,2,3]=>[2,1,4,1,6,2]
[1,1,3,4,3,2]=>[2,1,2,1,5,4]
[1,1,4,2,3,3]=>[2,4,1,1,5,5]
[1,1,4,3,2,3]=>[4,2,1,1,5,4]
[1,1,4,3,3,2]=>[4,2,1,1,4,5]
[1,2,1,3,3,4]=>[1,1,3,2,3,5]
[1,2,1,3,4,3]=>[1,1,3,2,5,3]
[1,2,1,4,3,3]=>[1,3,1,2,5,5]
[1,2,3,1,3,4]=>[2,1,2,4,1,5]
[1,2,3,1,4,3]=>[4,2,1,5,1,4]
[1,2,3,3,1,4]=>[2,1,1,4,2,3]
[1,2,3,3,4,1]=>[4,2,1,5,4,1]
[1,2,3,4,1,3]=>[2,1,1,4,3,2]
[1,2,3,4,3,1]=>[2,1,2,4,5,1]
[1,2,4,1,3,3]=>[3,1,1,6,2,2]
[1,2,4,3,1,3]=>[4,1,2,6,1,2]
[1,2,4,3,3,1]=>[4,1,2,6,2,1]
[1,3,1,2,3,4]=>[1,2,4,4,1,5]
[1,3,1,2,4,3]=>[1,4,2,5,1,5]
[1,3,1,3,2,4]=>[2,1,4,2,1,6]
[1,3,1,3,4,2]=>[4,1,2,2,1,6]
[1,3,1,4,2,3]=>[2,4,1,5,1,5]
[1,3,1,4,3,2]=>[4,2,1,4,1,5]
[1,3,2,1,3,4]=>[1,1,3,3,2,5]
[1,3,2,1,4,3]=>[1,3,1,5,2,5]
[1,3,2,3,1,4]=>[2,1,1,2,4,3]
[1,3,2,3,4,1]=>[4,2,1,4,5,1]
[1,3,2,4,1,3]=>[3,1,1,2,6,2]
[1,3,2,4,3,1]=>[4,1,2,2,6,1]
[1,3,3,1,2,4]=>[1,1,2,3,3,4]
[1,3,3,1,4,2]=>[3,1,1,2,2,6]
[1,3,3,2,1,4]=>[1,2,1,4,4,3]
[1,3,3,2,4,1]=>[2,4,1,5,5,1]
[1,3,3,4,1,2]=>[1,3,1,5,5,2]
[1,3,3,4,2,1]=>[1,4,2,5,5,1]
[1,3,4,1,2,3]=>[1,2,1,4,3,4]
[1,3,4,1,3,2]=>[2,1,1,2,3,4]
[1,3,4,2,1,3]=>[1,1,2,3,4,3]
[1,3,4,2,3,1]=>[2,1,4,2,6,1]
[1,3,4,3,1,2]=>[1,1,3,3,5,2]
[1,3,4,3,2,1]=>[1,2,4,4,5,1]
[1,4,1,2,3,3]=>[1,2,1,3,4,4]
[1,4,1,3,2,3]=>[2,1,1,3,4,2]
[1,4,1,3,3,2]=>[2,1,1,3,2,4]
[1,4,2,1,3,3]=>[1,1,2,4,3,3]
[1,4,2,3,1,3]=>[2,1,4,6,1,2]
[1,4,2,3,3,1]=>[2,1,4,6,2,1]
[1,4,3,1,2,3]=>[1,2,4,5,1,4]
[1,4,3,1,3,2]=>[2,1,2,5,1,4]
[1,4,3,2,1,3]=>[1,1,3,5,2,3]
[1,4,3,2,3,1]=>[2,1,2,5,4,1]
[1,4,3,3,1,2]=>[1,1,3,5,3,2]
[1,4,3,3,2,1]=>[1,2,4,5,4,1]
[2,1,1,3,3,4]=>[3,2,2,5,5,1]
[2,1,1,3,4,3]=>[2,3,2,3,5,1]
[2,1,1,4,3,3]=>[2,3,2,5,3,1]
[2,1,3,1,3,4]=>[3,2,5,2,5,1]
[2,1,3,1,4,3]=>[2,3,3,2,5,1]
[2,1,3,3,1,4]=>[2,2,3,3,4,1]
[2,1,3,3,4,1]=>[3,2,5,5,2,1]
[2,1,3,4,1,3]=>[2,2,3,4,3,1]
[2,1,3,4,3,1]=>[2,3,3,5,2,1]
[2,1,4,1,3,3]=>[2,2,4,3,3,1]
[2,1,4,3,1,3]=>[2,3,5,2,3,1]
[2,1,4,3,3,1]=>[2,3,5,3,2,1]
[2,3,1,1,3,4]=>[1,2,5,5,2,3]
[2,3,1,1,4,3]=>[1,2,4,4,3,2]
[2,3,1,3,1,4]=>[1,4,4,2,5,2]
[2,3,1,3,4,1]=>[1,2,5,2,5,3]
[2,3,1,4,1,3]=>[1,4,4,5,2,2]
[2,3,1,4,3,1]=>[1,2,4,3,4,2]
[2,3,3,1,1,4]=>[1,4,2,4,5,2]
[2,3,3,1,4,1]=>[1,4,2,5,4,2]
[2,3,3,4,1,1]=>[1,2,2,5,5,3]
[2,3,4,1,1,3]=>[1,4,5,4,2,2]
[2,3,4,1,3,1]=>[1,4,5,2,4,2]
[2,3,4,3,1,1]=>[1,2,3,4,4,2]
[2,4,1,1,3,3]=>[3,1,3,4,4,2]
[2,4,1,3,1,3]=>[3,1,4,3,4,2]
[2,4,1,3,3,1]=>[3,1,4,4,3,2]
[2,4,3,1,1,3]=>[2,1,5,5,3,3]
[2,4,3,1,3,1]=>[2,1,5,3,5,3]
[2,4,3,3,1,1]=>[2,1,3,5,5,3]
[3,1,1,2,3,4]=>[1,3,3,4,1,2]
[3,1,1,2,4,3]=>[1,4,4,3,2,1]
[3,1,1,3,2,4]=>[3,5,5,1,4,1]
[3,1,1,3,4,2]=>[1,5,5,1,4,2]
[3,1,1,4,2,3]=>[3,2,2,6,1,1]
[3,1,1,4,3,2]=>[1,5,5,2,3,1]
[3,1,2,1,3,4]=>[1,3,4,3,1,2]
[3,1,2,1,4,3]=>[1,4,3,4,2,1]
[3,1,2,3,1,4]=>[3,3,6,1,1,4]
[3,1,2,3,4,1]=>[1,4,6,1,2,4]
[3,1,2,4,1,3]=>[2,2,3,4,1,1]
[3,1,2,4,3,1]=>[1,3,6,2,1,3]
[3,1,3,1,2,4]=>[3,3,1,6,1,4]
[3,1,3,1,4,2]=>[5,3,1,6,1,3]
[3,1,3,2,1,4]=>[3,5,1,5,4,1]
[3,1,3,2,4,1]=>[4,4,1,5,3,1]
[3,1,3,4,1,2]=>[1,4,1,6,2,4]
[3,1,3,4,2,1]=>[1,5,1,5,4,2]
[3,1,4,1,2,3]=>[2,2,4,3,1,1]
[3,1,4,1,3,2]=>[4,4,5,1,3,1]
[3,1,4,2,1,3]=>[3,2,6,2,1,1]
[3,1,4,2,3,1]=>[5,3,6,1,1,3]
[3,1,4,3,1,2]=>[1,3,2,6,1,3]
[3,1,4,3,2,1]=>[1,5,2,5,3,1]
[3,2,1,1,3,4]=>[1,4,3,3,1,2]
[3,2,1,1,4,3]=>[1,3,4,4,2,1]
[3,2,1,3,1,4]=>[3,6,3,1,1,4]
[3,2,1,3,4,1]=>[1,6,4,1,2,4]
[3,2,1,4,1,3]=>[2,3,2,4,1,1]
[3,2,1,4,3,1]=>[1,6,3,2,1,3]
[3,2,3,1,1,4]=>[3,6,1,3,1,4]
[3,2,3,1,4,1]=>[3,5,1,4,1,3]
[3,2,3,4,1,1]=>[1,6,1,4,2,4]
[3,2,4,1,1,3]=>[2,3,4,2,1,1]
[3,2,4,1,3,1]=>[3,5,4,1,1,3]
[3,2,4,3,1,1]=>[1,6,2,3,1,3]
[3,3,1,1,2,4]=>[3,1,3,6,1,4]
[3,3,1,1,4,2]=>[5,1,3,6,1,3]
[3,3,1,2,1,4]=>[3,1,6,3,1,4]
[3,3,1,2,4,1]=>[3,1,5,4,1,3]
[3,3,1,4,1,2]=>[3,1,4,5,1,3]
[3,3,1,4,2,1]=>[5,1,6,3,1,3]
[3,3,2,1,1,4]=>[3,1,5,5,4,1]
[3,3,2,1,4,1]=>[4,1,4,5,3,1]
[3,3,2,4,1,1]=>[4,1,5,4,3,1]
[3,3,4,1,1,2]=>[1,1,4,6,2,4]
[3,3,4,1,2,1]=>[1,1,6,4,2,4]
[3,3,4,2,1,1]=>[1,1,5,5,4,2]
[3,4,1,1,2,3]=>[2,4,2,3,1,1]
[3,4,1,1,3,2]=>[4,5,4,1,3,1]
[3,4,1,2,1,3]=>[2,4,3,2,1,1]
[3,4,1,2,3,1]=>[3,4,5,1,1,3]
[3,4,1,3,1,2]=>[3,4,1,5,1,3]
[3,4,1,3,2,1]=>[4,5,1,4,3,1]
[3,4,2,1,1,3]=>[3,6,2,2,1,1]
[3,4,2,1,3,1]=>[5,6,3,1,1,3]
[3,4,2,3,1,1]=>[5,6,1,3,1,3]
[3,4,3,1,1,2]=>[1,2,3,6,1,3]
[3,4,3,1,2,1]=>[1,2,6,3,1,3]
[3,4,3,2,1,1]=>[1,2,5,5,3,1]
[4,1,1,2,3,3]=>[2,6,4,1,4,2]
[4,1,1,3,2,3]=>[2,4,6,1,4,2]
[4,1,1,3,3,2]=>[2,5,5,1,2,4]
[4,1,2,1,3,3]=>[6,2,4,1,4,2]
[4,1,2,3,1,3]=>[6,4,2,1,4,2]
[4,1,2,3,3,1]=>[3,4,4,1,2,2]
[4,1,3,1,2,3]=>[4,2,6,1,4,2]
[4,1,3,1,3,2]=>[5,2,5,1,2,4]
[4,1,3,2,1,3]=>[4,6,2,1,4,2]
[4,1,3,2,3,1]=>[4,3,4,1,2,2]
[4,1,3,3,1,2]=>[5,5,2,1,2,4]
[4,1,3,3,2,1]=>[4,4,3,1,2,2]
[4,2,1,1,3,3]=>[5,5,3,3,1,2]
[4,2,1,3,1,3]=>[5,3,5,3,1,2]
[4,2,1,3,3,1]=>[3,5,5,2,1,3]
[4,2,3,1,1,3]=>[3,5,5,3,1,2]
[4,2,3,1,3,1]=>[5,3,5,2,1,3]
[4,2,3,3,1,1]=>[5,5,3,2,1,3]
[4,3,1,1,2,3]=>[3,3,4,2,2,1]
[4,3,1,1,3,2]=>[5,5,2,4,2,1]
[4,3,1,2,1,3]=>[3,4,3,2,2,1]
[4,3,1,2,3,1]=>[4,6,2,2,4,1]
[4,3,1,3,1,2]=>[5,2,5,4,2,1]
[4,3,1,3,2,1]=>[4,2,6,2,4,1]
[4,3,2,1,1,3]=>[4,3,3,2,2,1]
[4,3,2,1,3,1]=>[6,4,2,2,4,1]
[4,3,2,3,1,1]=>[6,2,4,2,4,1]
[4,3,3,1,1,2]=>[2,5,5,4,2,1]
[4,3,3,1,2,1]=>[2,4,6,2,4,1]
[4,3,3,2,1,1]=>[2,6,4,2,4,1]
[1,1,2,3,3,5]=>[1,2,1,4,4,5]
[1,1,2,3,5,3]=>[1,2,1,4,5,4]
[1,1,2,5,3,3]=>[1,4,1,2,5,5]
[1,1,3,2,3,5]=>[2,1,1,2,4,5]
[1,1,3,2,5,3]=>[4,1,1,2,6,2]
[1,1,3,3,2,5]=>[2,1,1,4,2,6]
[1,1,3,3,5,2]=>[4,1,1,2,2,6]
[1,1,3,5,2,3]=>[2,1,1,4,6,2]
[1,1,3,5,3,2]=>[2,1,1,2,5,4]
[1,1,5,2,3,3]=>[3,4,1,1,5,5]
[1,1,5,3,2,3]=>[4,3,1,1,5,4]
[1,1,5,3,3,2]=>[4,3,1,1,4,5]
[1,2,1,3,3,5]=>[1,1,2,3,3,5]
[1,2,1,3,5,3]=>[1,1,2,3,5,3]
[1,2,1,5,3,3]=>[1,3,2,1,5,5]
[1,2,3,1,3,5]=>[2,1,4,2,1,5]
[1,2,3,1,5,3]=>[4,2,5,1,1,4]
[1,2,3,3,1,5]=>[2,1,4,1,2,3]
[1,2,3,3,5,1]=>[4,2,5,1,4,1]
[1,2,3,5,1,3]=>[2,1,4,1,3,2]
[1,2,3,5,3,1]=>[2,1,4,2,5,1]
[1,2,5,1,3,3]=>[3,1,6,1,2,2]
[1,2,5,3,1,3]=>[4,1,6,2,1,2]
[1,2,5,3,3,1]=>[4,1,6,2,2,1]
[1,3,1,2,3,5]=>[1,2,4,4,1,6]
[1,3,1,2,5,3]=>[1,4,5,2,1,5]
[1,3,1,3,2,5]=>[2,1,2,4,1,6]
[1,3,1,3,5,2]=>[5,1,2,2,1,6]
[1,3,1,5,2,3]=>[2,4,5,1,1,5]
[1,3,1,5,3,2]=>[4,2,4,1,1,5]
[1,3,2,1,3,5]=>[1,1,3,3,2,6]
[1,3,2,1,5,3]=>[1,3,5,1,2,5]
[1,3,2,3,1,5]=>[2,1,2,1,4,3]
[1,3,2,3,5,1]=>[4,2,4,1,5,1]
[1,3,2,5,1,3]=>[3,1,2,1,6,2]
[1,3,2,5,3,1]=>[5,1,2,2,6,1]
[1,3,3,1,2,5]=>[1,1,3,2,3,4]
[1,3,3,1,5,2]=>[3,1,2,1,2,6]
[1,3,3,2,1,5]=>[1,2,4,1,4,3]
[1,3,3,2,5,1]=>[2,4,5,1,5,1]
[1,3,3,5,1,2]=>[1,3,5,1,5,2]
[1,3,3,5,2,1]=>[1,4,5,2,5,1]
[1,3,5,1,2,3]=>[1,2,4,1,3,4]
[1,3,5,1,3,2]=>[2,1,2,1,3,4]
[1,3,5,2,1,3]=>[1,1,3,2,4,3]
[1,3,5,2,3,1]=>[2,1,2,4,6,1]
[1,3,5,3,1,2]=>[1,1,3,3,6,2]
[1,3,5,3,2,1]=>[1,2,4,4,6,1]
[1,5,1,2,3,3]=>[1,2,3,1,4,4]
[1,5,1,3,2,3]=>[2,1,3,1,4,2]
[1,5,1,3,3,2]=>[2,1,3,1,2,4]
[1,5,2,1,3,3]=>[1,1,4,2,3,3]
[1,5,2,3,1,3]=>[2,1,6,4,1,2]
[1,5,2,3,3,1]=>[2,1,6,4,2,1]
[1,5,3,1,2,3]=>[1,2,5,4,1,4]
[1,5,3,1,3,2]=>[2,1,5,2,1,4]
[1,5,3,2,1,3]=>[1,1,5,3,2,3]
[1,5,3,2,3,1]=>[2,1,5,2,4,1]
[1,5,3,3,1,2]=>[1,1,5,3,3,2]
[1,5,3,3,2,1]=>[1,2,5,4,4,1]
[2,1,1,3,3,5]=>[4,2,2,5,5,1]
[2,1,1,3,5,3]=>[2,2,3,3,5,1]
[2,1,1,5,3,3]=>[2,2,3,5,3,1]
[2,1,3,1,3,5]=>[3,5,2,2,5,1]
[2,1,3,1,5,3]=>[2,3,3,2,6,1]
[2,1,3,3,1,5]=>[2,3,2,3,4,1]
[2,1,3,3,5,1]=>[3,5,2,5,2,1]
[2,1,3,5,1,3]=>[2,3,2,4,3,1]
[2,1,3,5,3,1]=>[2,3,3,6,2,1]
[2,1,5,1,3,3]=>[2,4,2,3,3,1]
[2,1,5,3,1,3]=>[2,5,3,2,3,1]
[2,1,5,3,3,1]=>[2,5,3,3,2,1]
[2,3,1,1,3,5]=>[1,5,2,5,2,3]
[2,3,1,1,5,3]=>[1,4,2,4,3,2]
[2,3,1,3,1,5]=>[1,4,4,2,6,2]
[2,3,1,3,5,1]=>[1,5,2,2,5,3]
[2,3,1,5,1,3]=>[1,4,4,6,2,2]
[2,3,1,5,3,1]=>[1,4,2,3,4,2]
[2,3,3,1,1,5]=>[1,2,4,4,5,2]
[2,3,3,1,5,1]=>[1,2,4,5,4,2]
[2,3,3,5,1,1]=>[1,2,2,5,5,4]
[2,3,5,1,1,3]=>[1,5,4,4,2,2]
[2,3,5,1,3,1]=>[1,5,4,2,4,2]
[2,3,5,3,1,1]=>[1,3,2,4,4,2]
[2,5,1,1,3,3]=>[3,3,1,4,4,2]
[2,5,1,3,1,3]=>[2,5,1,5,3,3]
[2,5,1,3,3,1]=>[2,5,1,3,5,3]
[2,5,3,1,1,3]=>[3,4,1,3,4,2]
[2,5,3,1,3,1]=>[3,4,1,4,3,2]
[2,5,3,3,1,1]=>[2,3,1,5,5,3]
[3,1,1,2,3,5]=>[3,1,3,4,1,2]
[3,1,1,2,5,3]=>[4,1,4,3,2,1]
[3,1,1,3,2,5]=>[5,3,5,1,4,1]
[3,1,1,3,5,2]=>[5,1,5,1,4,2]
[3,1,1,5,2,3]=>[2,3,2,6,1,1]
[3,1,1,5,3,2]=>[5,1,5,2,3,1]
[3,1,2,1,3,5]=>[3,1,4,3,1,2]
[3,1,2,1,5,3]=>[4,1,3,4,2,1]
[3,1,2,3,1,5]=>[3,3,6,1,1,5]
[3,1,2,3,5,1]=>[4,1,6,1,2,4]
[3,1,2,5,1,3]=>[2,2,3,5,1,1]
[3,1,2,5,3,1]=>[3,1,6,2,1,3]
[3,1,3,1,2,5]=>[3,3,1,6,1,5]
[3,1,3,1,5,2]=>[3,5,1,6,1,3]
[3,1,3,2,1,5]=>[5,3,1,5,4,1]
[3,1,3,2,5,1]=>[4,4,1,6,3,1]
[3,1,3,5,1,2]=>[4,1,1,6,2,4]
[3,1,3,5,2,1]=>[5,1,1,5,4,2]
[3,1,5,1,2,3]=>[2,2,5,3,1,1]
[3,1,5,1,3,2]=>[4,4,6,1,3,1]
[3,1,5,2,1,3]=>[2,3,6,2,1,1]
[3,1,5,2,3,1]=>[3,5,6,1,1,3]
[3,1,5,3,1,2]=>[3,1,2,6,1,3]
[3,1,5,3,2,1]=>[5,1,2,5,3,1]
[3,2,1,1,3,5]=>[4,1,3,3,1,2]
[3,2,1,1,5,3]=>[3,1,4,4,2,1]
[3,2,1,3,1,5]=>[6,3,3,1,1,4]
[3,2,1,3,5,1]=>[6,1,4,1,2,4]
[3,2,1,5,1,3]=>[3,2,2,4,1,1]
[3,2,1,5,3,1]=>[6,1,3,2,1,3]
[3,2,3,1,1,5]=>[6,3,1,3,1,4]
[3,2,3,1,5,1]=>[5,3,1,4,1,3]
[3,2,3,5,1,1]=>[6,1,1,4,2,4]
[3,2,5,1,1,3]=>[3,2,4,2,1,1]
[3,2,5,1,3,1]=>[5,3,4,1,1,3]
[3,2,5,3,1,1]=>[6,1,2,3,1,3]
[3,3,1,1,2,5]=>[1,3,3,6,1,4]
[3,3,1,1,5,2]=>[1,5,3,6,1,3]
[3,3,1,2,1,5]=>[1,3,6,3,1,4]
[3,3,1,2,5,1]=>[1,3,5,4,1,3]
[3,3,1,5,1,2]=>[1,3,4,5,1,3]
[3,3,1,5,2,1]=>[1,5,6,3,1,3]
[3,3,2,1,1,5]=>[1,3,5,5,4,1]
[3,3,2,1,5,1]=>[1,4,4,5,3,1]
[3,3,2,5,1,1]=>[1,4,5,4,3,1]
[3,3,5,1,1,2]=>[1,1,4,6,3,4]
[3,3,5,1,2,1]=>[1,1,6,4,3,4]
[3,3,5,2,1,1]=>[1,1,5,5,4,3]
[3,5,1,1,2,3]=>[4,2,2,3,1,1]
[3,5,1,1,3,2]=>[5,4,4,1,3,1]
[3,5,1,2,1,3]=>[4,2,3,2,1,1]
[3,5,1,2,3,1]=>[4,3,5,1,1,3]
[3,5,1,3,1,2]=>[4,3,1,5,1,3]
[3,5,1,3,2,1]=>[5,4,1,4,3,1]
[3,5,2,1,1,3]=>[6,3,2,2,1,1]
[3,5,2,1,3,1]=>[6,5,3,1,1,3]
[3,5,2,3,1,1]=>[6,5,1,3,1,3]
[3,5,3,1,1,2]=>[2,1,3,6,1,3]
[3,5,3,1,2,1]=>[2,1,6,3,1,3]
[3,5,3,2,1,1]=>[2,1,5,5,3,1]
[5,1,1,2,3,3]=>[2,5,1,4,2,4]
[5,1,1,3,2,3]=>[2,5,1,2,4,5]
[5,1,1,3,3,2]=>[2,4,1,4,2,6]
[5,1,2,1,3,3]=>[5,2,1,4,2,4]
[5,1,2,3,1,3]=>[3,4,1,2,2,4]
[5,1,2,3,3,1]=>[6,3,1,3,2,2]
[5,1,3,1,2,3]=>[5,2,1,2,4,5]
[5,1,3,1,3,2]=>[4,2,1,4,2,6]
[5,1,3,2,1,3]=>[4,3,1,2,2,4]
[5,1,3,2,3,1]=>[3,6,1,3,2,2]
[5,1,3,3,1,2]=>[4,4,1,2,2,3]
[5,1,3,3,2,1]=>[5,5,1,2,3,2]
[5,2,1,1,3,3]=>[4,4,3,1,2,3]
[5,2,1,3,1,3]=>[3,5,2,1,3,5]
[5,2,1,3,3,1]=>[5,3,3,1,2,5]
[5,2,3,1,1,3]=>[5,3,2,1,3,5]
[5,2,3,1,3,1]=>[3,5,3,1,2,5]
[5,2,3,3,1,1]=>[4,4,2,1,3,3]
[5,3,1,1,2,3]=>[5,5,3,2,1,2]
[5,3,1,1,3,2]=>[3,3,2,2,1,4]
[5,3,1,2,1,3]=>[3,6,2,3,1,2]
[5,3,1,2,3,1]=>[3,4,2,2,1,3]
[5,3,1,3,1,2]=>[4,2,2,4,1,6]
[5,3,1,3,2,1]=>[5,2,4,2,1,5]
[5,3,2,1,1,3]=>[6,3,2,3,1,2]
[5,3,2,1,3,1]=>[4,3,2,2,1,3]
[5,3,2,3,1,1]=>[5,2,2,4,1,4]
[5,3,3,1,1,2]=>[2,4,2,4,1,6]
[5,3,3,1,2,1]=>[2,5,4,2,1,5]
[5,3,3,2,1,1]=>[2,5,2,4,1,4]
[1,1,2,3,3,6]=>[1,2,1,4,4,6]
[1,1,2,3,6,3]=>[1,2,1,5,4,4]
[1,1,2,6,3,3]=>[1,4,1,5,2,5]
[1,1,3,2,3,6]=>[2,1,1,4,2,5]
[1,1,3,2,6,3]=>[4,1,1,6,2,2]
[1,1,3,3,2,6]=>[2,1,1,2,4,6]
[1,1,3,3,6,2]=>[5,1,1,2,2,6]
[1,1,3,6,2,3]=>[2,1,1,6,4,2]
[1,1,3,6,3,2]=>[2,1,1,5,2,4]
[1,1,6,2,3,3]=>[4,3,1,5,1,4]
[1,1,6,3,2,3]=>[3,4,1,5,1,5]
[1,1,6,3,3,2]=>[4,3,1,4,1,5]
[1,2,1,3,3,6]=>[1,1,2,3,3,6]
[1,2,1,3,6,3]=>[1,1,2,5,3,3]
[1,2,1,6,3,3]=>[1,3,2,5,1,5]
[1,2,3,1,3,6]=>[2,1,4,1,2,5]
[1,2,3,1,6,3]=>[4,3,5,1,1,4]
[1,2,3,3,1,6]=>[2,1,4,2,1,3]
[1,2,3,3,6,1]=>[4,2,5,4,1,1]
[1,2,3,6,1,3]=>[2,1,4,3,1,2]
[1,2,3,6,3,1]=>[2,1,4,5,2,1]
[1,2,6,1,3,3]=>[4,1,6,1,2,2]
[1,2,6,3,1,3]=>[3,1,6,2,1,2]
[1,2,6,3,3,1]=>[5,1,6,2,2,1]
[1,3,1,2,3,6]=>[1,2,4,1,4,6]
[1,3,1,2,6,3]=>[1,4,5,1,2,5]
[1,3,1,3,2,6]=>[2,1,2,1,4,6]
[1,3,1,3,6,2]=>[5,1,2,1,2,6]
[1,3,1,6,2,3]=>[3,4,5,1,1,5]
[1,3,1,6,3,2]=>[4,3,4,1,1,5]
[1,3,2,1,3,6]=>[1,1,3,2,3,6]
[1,3,2,1,6,3]=>[1,3,5,2,1,5]
[1,3,2,3,1,6]=>[2,1,2,4,1,3]
[1,3,2,3,6,1]=>[4,2,4,5,1,1]
[1,3,2,6,1,3]=>[3,1,2,6,1,2]
[1,3,2,6,3,1]=>[5,1,2,6,2,1]
[1,3,3,1,2,6]=>[1,1,3,3,2,4]
[1,3,3,1,6,2]=>[3,1,2,2,1,6]
[1,3,3,2,1,6]=>[1,2,4,4,1,3]
[1,3,3,2,6,1]=>[2,4,5,5,1,1]
[1,3,3,6,1,2]=>[1,3,5,5,1,2]
[1,3,3,6,2,1]=>[1,4,5,5,2,1]
[1,3,6,1,2,3]=>[1,2,4,3,1,4]
[1,3,6,1,3,2]=>[2,1,2,3,1,4]
[1,3,6,2,1,3]=>[1,1,3,4,2,3]
[1,3,6,2,3,1]=>[2,1,2,6,4,1]
[1,3,6,3,1,2]=>[1,1,3,6,3,2]
[1,3,6,3,2,1]=>[1,2,4,6,4,1]
[1,6,1,2,3,3]=>[1,2,5,1,4,4]
[1,6,1,3,2,3]=>[2,1,6,1,4,2]
[1,6,1,3,3,2]=>[2,1,5,1,2,4]
[1,6,2,1,3,3]=>[1,1,5,2,3,3]
[1,6,2,3,1,3]=>[2,1,3,4,1,2]
[1,6,2,3,3,1]=>[2,1,5,4,2,1]
[1,6,3,1,2,3]=>[1,2,3,4,1,4]
[1,6,3,1,3,2]=>[2,1,3,2,1,4]
[1,6,3,2,1,3]=>[1,1,4,3,2,3]
[1,6,3,2,3,1]=>[2,1,6,2,4,1]
[1,6,3,3,1,2]=>[1,1,6,3,3,2]
[1,6,3,3,2,1]=>[1,2,6,4,4,1]
[2,1,1,3,3,6]=>[4,2,5,2,5,1]
[2,1,1,3,6,3]=>[2,2,3,3,6,1]
[2,1,1,6,3,3]=>[2,2,5,3,3,1]
[2,1,3,1,3,6]=>[4,5,2,2,5,1]
[2,1,3,1,6,3]=>[2,3,2,3,6,1]
[2,1,3,3,1,6]=>[2,3,3,2,4,1]
[2,1,3,3,6,1]=>[3,5,5,2,2,1]
[2,1,3,6,1,3]=>[2,3,4,2,3,1]
[2,1,3,6,3,1]=>[2,3,6,3,2,1]
[2,1,6,1,3,3]=>[2,5,2,3,3,1]
[2,1,6,3,1,3]=>[2,4,3,2,3,1]
[2,1,6,3,3,1]=>[2,6,3,3,2,1]
[2,3,1,1,3,6]=>[1,5,5,2,2,3]
[2,3,1,1,6,3]=>[1,4,4,2,3,2]
[2,3,1,3,1,6]=>[1,4,2,4,6,2]
[2,3,1,3,6,1]=>[1,5,2,2,5,4]
[2,3,1,6,1,3]=>[1,4,6,4,2,2]
[2,3,1,6,3,1]=>[1,4,3,2,4,2]
[2,3,3,1,1,6]=>[1,2,4,4,6,2]
[2,3,3,1,6,1]=>[1,2,5,4,4,2]
[2,3,3,6,1,1]=>[1,2,5,2,5,4]
[2,3,6,1,1,3]=>[1,6,4,4,2,2]
[2,3,6,1,3,1]=>[1,3,4,2,4,2]
[2,3,6,3,1,1]=>[1,5,2,4,4,2]
[2,6,1,1,3,3]=>[2,5,5,1,3,3]
[2,6,1,3,1,3]=>[3,3,4,1,4,2]
[2,6,1,3,3,1]=>[2,5,3,1,5,3]
[2,6,3,1,1,3]=>[3,4,3,1,4,2]
[2,6,3,1,3,1]=>[2,3,5,1,5,3]
[2,6,3,3,1,1]=>[3,4,4,1,3,2]
[3,1,1,2,3,6]=>[3,3,1,4,1,2]
[3,1,1,2,6,3]=>[4,4,1,3,2,1]
[3,1,1,3,2,6]=>[5,5,3,1,4,1]
[3,1,1,3,6,2]=>[5,5,1,1,4,2]
[3,1,1,6,2,3]=>[2,2,3,6,1,1]
[3,1,1,6,3,2]=>[5,5,1,2,3,1]
[3,1,2,1,3,6]=>[3,4,1,3,1,2]
[3,1,2,1,6,3]=>[4,3,1,4,2,1]
[3,1,2,3,1,6]=>[3,6,3,1,1,5]
[3,1,2,3,6,1]=>[4,6,1,1,2,4]
[3,1,2,6,1,3]=>[2,3,2,5,1,1]
[3,1,2,6,3,1]=>[3,6,1,2,1,3]
[3,1,3,1,2,6]=>[3,1,3,6,1,5]
[3,1,3,1,6,2]=>[3,1,5,6,1,3]
[3,1,3,2,1,6]=>[5,1,3,5,4,1]
[3,1,3,2,6,1]=>[4,1,4,6,3,1]
[3,1,3,6,1,2]=>[4,1,1,6,3,4]
[3,1,3,6,2,1]=>[5,1,1,5,4,3]
[3,1,6,1,2,3]=>[2,5,2,3,1,1]
[3,1,6,1,3,2]=>[4,6,4,1,3,1]
[3,1,6,2,1,3]=>[2,6,3,2,1,1]
[3,1,6,2,3,1]=>[3,6,5,1,1,3]
[3,1,6,3,1,2]=>[3,2,1,6,1,3]
[3,1,6,3,2,1]=>[5,2,1,5,3,1]
[3,2,1,1,3,6]=>[4,3,1,3,1,2]
[3,2,1,1,6,3]=>[3,4,1,4,2,1]
[3,2,1,3,1,6]=>[6,3,3,1,1,5]
[3,2,1,3,6,1]=>[6,4,1,1,2,4]
[3,2,1,6,1,3]=>[3,2,2,5,1,1]
[3,2,1,6,3,1]=>[6,3,1,2,1,3]
[3,2,3,1,1,6]=>[6,1,3,3,1,4]
[3,2,3,1,6,1]=>[5,1,3,4,1,3]
[3,2,3,6,1,1]=>[6,1,1,4,3,4]
[3,2,6,1,1,3]=>[3,4,2,2,1,1]
[3,2,6,1,3,1]=>[5,4,3,1,1,3]
[3,2,6,3,1,1]=>[6,2,1,3,1,3]
[3,3,1,1,2,6]=>[1,3,3,6,1,5]
[3,3,1,1,6,2]=>[1,3,5,6,1,3]
[3,3,1,2,1,6]=>[1,6,3,3,1,4]
[3,3,1,2,6,1]=>[1,5,3,4,1,3]
[3,3,1,6,1,2]=>[1,4,3,5,1,3]
[3,3,1,6,2,1]=>[1,6,5,3,1,3]
[3,3,2,1,1,6]=>[1,5,3,5,4,1]
[3,3,2,1,6,1]=>[1,4,4,6,3,1]
[3,3,2,6,1,1]=>[1,5,4,4,3,1]
[3,3,6,1,1,2]=>[1,4,1,6,3,4]
[3,3,6,1,2,1]=>[1,5,1,5,4,3]
[3,3,6,2,1,1]=>[1,6,1,4,3,4]
[3,6,1,1,2,3]=>[5,2,2,3,1,1]
[3,6,1,1,3,2]=>[6,4,4,1,3,1]
[3,6,1,2,1,3]=>[6,2,3,2,1,1]
[3,6,1,2,3,1]=>[6,3,5,1,1,3]
[3,6,1,3,1,2]=>[2,3,1,6,1,3]
[3,6,1,3,2,1]=>[2,5,1,5,3,1]
[3,6,2,1,1,3]=>[4,3,2,2,1,1]
[3,6,2,1,3,1]=>[4,5,3,1,1,3]
[3,6,2,3,1,1]=>[2,6,1,3,1,3]
[3,6,3,1,1,2]=>[4,1,3,5,1,3]
[3,6,3,1,2,1]=>[6,1,5,3,1,3]
[3,6,3,2,1,1]=>[5,1,4,4,3,1]
[6,1,1,2,3,3]=>[2,1,2,4,5,5]
[6,1,1,3,2,3]=>[2,1,4,2,5,4]
[6,1,1,3,3,2]=>[2,1,4,2,4,5]
[6,1,2,1,3,3]=>[3,1,2,2,4,4]
[6,1,2,3,1,3]=>[5,1,3,2,2,3]
[6,1,2,3,3,1]=>[5,1,3,2,3,2]
[6,1,3,1,2,3]=>[5,1,2,3,2,5]
[6,1,3,1,3,2]=>[3,1,3,2,2,6]
[6,1,3,2,1,3]=>[4,1,2,2,3,4]
[6,1,3,2,3,1]=>[3,1,3,2,6,2]
[6,1,3,3,1,2]=>[4,1,2,2,4,3]
[6,1,3,3,2,1]=>[5,1,2,3,5,2]
[6,2,1,1,3,3]=>[3,2,1,3,5,5]
[6,2,1,3,1,3]=>[4,3,1,2,4,3]
[6,2,1,3,3,1]=>[4,3,1,2,3,4]
[6,2,3,1,1,3]=>[4,2,1,3,3,4]
[6,2,3,1,3,1]=>[4,2,1,3,4,3]
[6,2,3,3,1,1]=>[3,3,1,2,5,5]
[6,3,1,1,2,3]=>[5,3,2,1,5,2]
[6,3,1,1,3,2]=>[3,2,2,1,3,4]
[6,3,1,2,1,3]=>[3,2,3,1,6,2]
[6,3,1,2,3,1]=>[3,2,2,1,4,3]
[6,3,1,3,1,2]=>[3,2,3,1,2,6]
[6,3,1,3,2,1]=>[5,3,2,1,2,5]
[6,3,2,1,1,3]=>[5,2,3,1,3,2]
[6,3,2,1,3,1]=>[5,2,3,1,2,3]
[6,3,2,3,1,1]=>[4,2,2,1,3,3]
[6,3,3,1,1,2]=>[2,2,4,1,4,5]
[6,3,3,1,2,1]=>[2,2,4,1,5,4]
[6,3,3,2,1,1]=>[2,4,2,1,5,5]
[1,1,2,3,4,4]=>[1,2,4,1,5,5]
[1,1,2,4,3,4]=>[1,4,2,1,5,4]
[1,1,2,4,4,3]=>[1,4,2,1,4,5]
[1,1,3,2,4,4]=>[2,1,4,1,5,5]
[1,1,3,4,2,4]=>[4,1,2,1,5,4]
[1,1,3,4,4,2]=>[4,1,2,1,4,5]
[1,1,4,2,3,4]=>[4,2,1,1,6,2]
[1,1,4,2,4,3]=>[2,2,1,1,4,5]
[1,1,4,3,2,4]=>[2,4,1,1,6,2]
[1,1,4,3,4,2]=>[2,2,1,1,5,4]
[1,1,4,4,2,3]=>[2,4,1,1,2,6]
[1,1,4,4,3,2]=>[4,2,1,1,2,6]
[1,2,1,3,4,4]=>[1,1,3,2,5,5]
[1,2,1,4,3,4]=>[1,3,1,2,5,3]
[1,2,1,4,4,3]=>[1,3,1,2,3,5]
[1,2,3,1,4,4]=>[2,1,1,4,3,3]
[1,2,3,4,1,4]=>[4,2,1,6,1,2]
[1,2,3,4,4,1]=>[4,2,1,6,2,1]
[1,2,4,1,3,4]=>[4,1,2,5,1,4]
[1,2,4,1,4,3]=>[2,2,1,4,1,5]
[1,2,4,3,1,4]=>[3,1,1,5,2,3]
[1,2,4,3,4,1]=>[2,2,1,4,5,1]
[1,2,4,4,1,3]=>[3,1,1,5,3,2]
[1,2,4,4,3,1]=>[4,1,2,5,4,1]
[1,3,1,2,4,4]=>[1,1,2,3,4,4]
[1,3,1,4,2,4]=>[3,1,1,2,5,3]
[1,3,1,4,4,2]=>[3,1,1,2,3,5]
[1,3,2,1,4,4]=>[1,2,1,4,3,3]
[1,3,2,4,1,4]=>[2,4,1,6,1,2]
[1,3,2,4,4,1]=>[2,4,1,6,2,1]
[1,3,4,1,2,4]=>[1,4,2,5,1,4]
[1,3,4,1,4,2]=>[2,2,1,5,1,4]
[1,3,4,2,1,4]=>[1,3,1,5,2,3]
[1,3,4,2,4,1]=>[2,2,1,5,4,1]
[1,3,4,4,1,2]=>[1,3,1,5,3,2]
[1,3,4,4,2,1]=>[1,4,2,5,4,1]
[1,4,1,2,3,4]=>[1,2,4,5,1,5]
[1,4,1,2,4,3]=>[1,4,2,4,1,5]
[1,4,1,3,2,4]=>[2,1,4,5,1,5]
[1,4,1,3,4,2]=>[4,1,2,4,1,5]
[1,4,1,4,2,3]=>[2,4,1,2,1,6]
[1,4,1,4,3,2]=>[4,2,1,2,1,6]
[1,4,2,1,3,4]=>[1,1,3,5,2,5]
[1,4,2,1,4,3]=>[1,3,1,3,2,5]
[1,4,2,3,1,4]=>[2,1,1,3,4,3]
[1,4,2,3,4,1]=>[4,2,1,2,6,1]
[1,4,2,4,1,3]=>[3,1,1,3,5,2]
[1,4,2,4,3,1]=>[4,1,2,4,5,1]
[1,4,3,1,2,4]=>[1,1,2,4,3,4]
[1,4,3,1,4,2]=>[3,1,1,3,2,5]
[1,4,3,2,1,4]=>[1,2,1,3,4,3]
[1,4,3,2,4,1]=>[2,4,1,2,6,1]
[1,4,3,4,1,2]=>[1,3,1,3,5,2]
[1,4,3,4,2,1]=>[1,4,2,4,5,1]
[1,4,4,1,2,3]=>[1,2,1,3,3,4]
[1,4,4,1,3,2]=>[2,1,1,3,3,4]
[1,4,4,2,1,3]=>[1,1,2,4,4,3]
[1,4,4,2,3,1]=>[2,1,4,5,5,1]
[1,4,4,3,1,2]=>[1,1,3,5,5,2]
[1,4,4,3,2,1]=>[1,2,4,5,5,1]
[2,1,1,3,4,4]=>[3,2,2,5,3,1]
[2,1,1,4,3,4]=>[3,2,2,3,5,1]
[2,1,1,4,4,3]=>[2,3,2,5,5,1]
[2,1,3,1,4,4]=>[2,2,3,4,4,1]
[2,1,3,4,1,4]=>[3,2,5,2,3,1]
[2,1,3,4,4,1]=>[3,2,5,3,2,1]
[2,1,4,1,3,4]=>[3,2,3,2,5,1]
[2,1,4,1,4,3]=>[2,3,5,2,5,1]
[2,1,4,3,1,4]=>[2,2,4,3,4,1]
[2,1,4,3,4,1]=>[3,2,3,5,2,1]
[2,1,4,4,1,3]=>[2,2,4,4,3,1]
[2,1,4,4,3,1]=>[2,3,5,5,2,1]
[2,3,1,1,4,4]=>[1,3,3,4,4,2]
[2,3,1,4,1,4]=>[1,3,4,3,4,2]
[2,3,1,4,4,1]=>[1,3,4,4,3,2]
[2,3,4,1,1,4]=>[1,2,5,5,3,3]
[2,3,4,1,4,1]=>[1,2,5,3,5,3]
[2,3,4,4,1,1]=>[1,2,3,5,5,3]
[2,4,1,1,3,4]=>[2,1,4,4,3,2]
[2,4,1,1,4,3]=>[2,1,5,5,2,3]
[2,4,1,3,1,4]=>[4,1,4,5,2,2]
[2,4,1,3,4,1]=>[2,1,4,3,4,2]
[2,4,1,4,1,3]=>[4,1,4,2,5,2]
[2,4,1,4,3,1]=>[2,1,5,2,5,3]
[2,4,3,1,1,4]=>[4,1,5,4,2,2]
[2,4,3,1,4,1]=>[4,1,5,2,4,2]
[2,4,3,4,1,1]=>[2,1,3,4,4,2]
[2,4,4,1,1,3]=>[4,1,2,4,5,2]
[2,4,4,1,3,1]=>[4,1,2,5,4,2]
[2,4,4,3,1,1]=>[2,1,2,5,5,3]
[3,1,1,2,4,4]=>[2,2,6,3,1,3]
[3,1,1,4,2,4]=>[2,2,3,6,1,3]
[3,1,1,4,4,2]=>[4,2,5,5,1,2]
[3,1,2,1,4,4]=>[2,6,2,3,1,3]
[3,1,2,4,1,4]=>[2,6,3,2,1,3]
[3,1,2,4,4,1]=>[2,4,3,3,1,2]
[3,1,4,1,2,4]=>[2,3,2,6,1,3]
[3,1,4,1,4,2]=>[4,5,2,5,1,2]
[3,1,4,2,1,4]=>[2,3,6,2,1,3]
[3,1,4,2,4,1]=>[2,3,4,3,1,2]
[3,1,4,4,1,2]=>[2,3,3,4,1,2]
[3,1,4,4,2,1]=>[4,5,5,2,1,2]
[3,2,1,1,4,4]=>[2,5,5,3,3,1]
[3,2,1,4,1,4]=>[2,5,3,5,3,1]
[3,2,1,4,4,1]=>[3,3,4,4,2,1]
[3,2,4,1,1,4]=>[2,3,5,5,3,1]
[3,2,4,1,4,1]=>[3,4,3,4,2,1]
[3,2,4,4,1,1]=>[3,4,4,3,2,1]
[3,4,1,1,2,4]=>[1,3,3,4,2,2]
[3,4,1,1,4,2]=>[1,5,5,2,4,2]
[3,4,1,2,1,4]=>[1,3,4,3,2,2]
[3,4,1,2,4,1]=>[1,4,6,2,2,4]
[3,4,1,4,1,2]=>[1,4,2,6,2,4]
[3,4,1,4,2,1]=>[1,5,2,5,4,2]
[3,4,2,1,1,4]=>[1,4,3,3,2,2]
[3,4,2,1,4,1]=>[1,6,4,2,2,4]
[3,4,2,4,1,1]=>[1,6,2,4,2,4]
[3,4,4,1,1,2]=>[1,2,4,6,2,4]
[3,4,4,1,2,1]=>[1,2,6,4,2,4]
[3,4,4,2,1,1]=>[1,2,5,5,4,2]
[4,1,1,2,3,4]=>[5,5,2,3,1,1]
[4,1,1,2,4,3]=>[2,2,6,1,3,1]
[4,1,1,3,2,4]=>[4,4,3,2,1,1]
[4,1,1,3,4,2]=>[2,2,6,1,1,3]
[4,1,1,4,2,3]=>[5,5,1,4,1,3]
[4,1,1,4,3,2]=>[5,5,1,4,3,1]
[4,1,2,1,3,4]=>[5,2,5,3,1,1]
[4,1,2,1,4,3]=>[2,6,2,1,3,1]
[4,1,2,3,1,4]=>[2,5,3,1,2,1]
[4,1,2,3,4,1]=>[2,3,5,1,1,2]
[4,1,2,4,1,3]=>[3,6,1,1,5,3]
[4,1,2,4,3,1]=>[4,6,1,3,4,1]
[4,1,3,1,2,4]=>[4,3,4,2,1,1]
[4,1,3,1,4,2]=>[2,6,2,1,1,3]
[4,1,3,2,1,4]=>[2,3,5,1,2,1]
[4,1,3,2,4,1]=>[2,5,3,1,1,2]
[4,1,3,4,1,2]=>[3,6,1,1,3,5]
[4,1,3,4,2,1]=>[4,6,1,3,1,4]
[4,1,4,1,2,3]=>[3,1,6,1,5,3]
[4,1,4,1,3,2]=>[3,1,6,1,3,5]
[4,1,4,2,1,3]=>[5,1,5,4,1,3]
[4,1,4,2,3,1]=>[4,1,6,3,1,4]
[4,1,4,3,1,2]=>[5,1,5,4,3,1]
[4,1,4,3,2,1]=>[4,1,6,3,4,1]
[4,2,1,1,3,4]=>[2,5,5,3,1,1]
[4,2,1,1,4,3]=>[6,2,2,1,3,1]
[4,2,1,3,1,4]=>[5,2,3,1,2,1]
[4,2,1,3,4,1]=>[3,2,5,1,1,2]
[4,2,1,4,1,3]=>[6,3,1,1,5,3]
[4,2,1,4,3,1]=>[6,4,1,3,4,1]
[4,2,3,1,1,4]=>[5,3,2,1,2,1]
[4,2,3,1,4,1]=>[3,5,2,1,1,2]
[4,2,3,4,1,1]=>[4,5,1,1,3,3]
[4,2,4,1,1,3]=>[6,1,3,1,5,3]
[4,2,4,1,3,1]=>[4,1,5,1,3,3]
[4,2,4,3,1,1]=>[6,1,4,3,4,1]
[4,3,1,1,2,4]=>[3,4,4,2,1,1]
[4,3,1,1,4,2]=>[6,2,2,1,1,3]
[4,3,1,2,1,4]=>[3,2,5,1,2,1]
[4,3,1,2,4,1]=>[5,2,3,1,1,2]
[4,3,1,4,1,2]=>[6,3,1,1,3,5]
[4,3,1,4,2,1]=>[6,4,1,3,1,4]
[4,3,2,1,1,4]=>[3,5,2,1,2,1]
[4,3,2,1,4,1]=>[5,3,2,1,1,2]
[4,3,2,4,1,1]=>[5,4,1,1,3,3]
[4,3,4,1,1,2]=>[6,1,3,1,3,5]
[4,3,4,1,2,1]=>[5,1,4,1,3,3]
[4,3,4,2,1,1]=>[6,1,4,3,1,4]
[4,4,1,1,2,3]=>[1,3,6,1,5,3]
[4,4,1,1,3,2]=>[1,3,6,1,3,5]
[4,4,1,2,1,3]=>[1,6,3,1,5,3]
[4,4,1,2,3,1]=>[1,4,5,1,3,3]
[4,4,1,3,1,2]=>[1,6,3,1,3,5]
[4,4,1,3,2,1]=>[1,5,4,1,3,3]
[4,4,2,1,1,3]=>[1,5,5,4,1,3]
[4,4,2,1,3,1]=>[1,4,6,3,1,4]
[4,4,2,3,1,1]=>[1,6,4,3,1,4]
[4,4,3,1,1,2]=>[1,5,5,4,3,1]
[4,4,3,1,2,1]=>[1,4,6,3,4,1]
[4,4,3,2,1,1]=>[1,6,4,3,4,1]
[1,1,2,3,4,5]=>[1,2,4,5,1,6]
[1,1,2,3,5,4]=>[1,2,5,4,1,6]
[1,1,2,4,3,5]=>[1,4,2,5,1,6]
[1,1,2,4,5,3]=>[1,5,2,4,1,6]
[1,1,2,5,3,4]=>[1,4,5,2,1,6]
[1,1,2,5,4,3]=>[1,5,4,2,1,6]
[1,1,3,2,4,5]=>[2,1,4,5,1,6]
[1,1,3,2,5,4]=>[2,1,5,4,1,6]
[1,1,3,4,2,5]=>[4,1,2,5,1,6]
[1,1,3,4,5,2]=>[5,1,2,4,1,6]
[1,1,3,5,2,4]=>[4,1,5,2,1,6]
[1,1,3,5,4,2]=>[5,1,4,2,1,6]
[1,1,4,2,3,5]=>[2,4,1,5,1,6]
[1,1,4,2,5,3]=>[2,5,1,4,1,6]
[1,1,4,3,2,5]=>[4,2,1,5,1,6]
[1,1,4,3,5,2]=>[5,2,1,4,1,6]
[1,1,4,5,2,3]=>[4,5,1,2,1,6]
[1,1,4,5,3,2]=>[5,4,1,2,1,6]
[1,1,5,2,3,4]=>[2,4,5,1,1,6]
[1,1,5,2,4,3]=>[2,5,4,1,1,6]
[1,1,5,3,2,4]=>[4,2,5,1,1,6]
[1,1,5,3,4,2]=>[5,2,4,1,1,6]
[1,1,5,4,2,3]=>[4,5,2,1,1,6]
[1,1,5,4,3,2]=>[5,4,2,1,1,6]
[1,2,1,3,4,5]=>[1,1,3,5,2,6]
[1,2,1,3,5,4]=>[1,1,5,3,2,6]
[1,2,1,4,3,5]=>[1,3,1,5,2,6]
[1,2,1,4,5,3]=>[1,5,1,3,2,6]
[1,2,1,5,3,4]=>[1,3,5,1,2,6]
[1,2,1,5,4,3]=>[1,5,3,1,2,6]
[1,2,3,1,4,5]=>[2,1,1,3,4,5]
[1,2,3,1,5,4]=>[2,1,3,1,4,5]
[1,2,3,4,1,5]=>[4,2,1,1,6,3]
[1,2,3,4,5,1]=>[5,4,2,1,6,1]
[1,2,3,5,1,4]=>[5,3,1,1,6,2]
[1,2,3,5,4,1]=>[5,4,1,2,6,1]
[1,2,4,1,3,5]=>[3,1,1,2,5,4]
[1,2,4,1,5,3]=>[2,3,1,1,4,5]
[1,2,4,3,1,5]=>[4,1,2,1,6,3]
[1,2,4,3,5,1]=>[5,2,4,1,6,1]
[1,2,4,5,1,3]=>[5,1,3,1,6,2]
[1,2,4,5,3,1]=>[5,1,4,2,6,1]
[1,2,5,1,3,4]=>[3,1,2,1,5,4]
[1,2,5,1,4,3]=>[3,2,1,1,5,4]
[1,2,5,3,1,4]=>[4,1,1,2,6,3]
[1,2,5,3,4,1]=>[5,2,1,4,6,1]
[1,2,5,4,1,3]=>[5,1,1,3,6,2]
[1,2,5,4,3,1]=>[5,1,2,4,6,1]
[1,3,1,2,4,5]=>[1,1,2,4,3,6]
[1,3,1,2,5,4]=>[1,1,4,2,3,6]
[1,3,1,4,2,5]=>[3,1,1,5,2,6]
[1,3,1,4,5,2]=>[5,1,1,3,2,6]
[1,3,1,5,2,4]=>[3,1,5,1,2,6]
[1,3,1,5,4,2]=>[5,1,3,1,2,6]
[1,3,2,1,4,5]=>[1,2,1,3,4,5]
[1,3,2,1,5,4]=>[1,2,3,1,4,5]
[1,3,2,4,1,5]=>[2,4,1,1,6,3]
[1,3,2,4,5,1]=>[4,5,2,1,6,1]
[1,3,2,5,1,4]=>[3,5,1,1,6,2]
[1,3,2,5,4,1]=>[4,5,1,2,6,1]
[1,3,4,1,2,5]=>[1,3,1,2,5,4]
[1,3,4,1,5,2]=>[3,2,1,1,4,5]
[1,3,4,2,1,5]=>[1,4,2,1,6,3]
[1,3,4,2,5,1]=>[2,5,4,1,6,1]
[1,3,4,5,1,2]=>[1,5,3,1,6,2]
[1,3,4,5,2,1]=>[1,5,4,2,6,1]
[1,3,5,1,2,4]=>[1,3,2,1,5,4]
[1,3,5,1,4,2]=>[2,3,1,1,5,4]
[1,3,5,2,1,4]=>[1,4,1,2,6,3]
[1,3,5,2,4,1]=>[2,5,1,4,6,1]
[1,3,5,4,1,2]=>[1,5,1,3,6,2]
[1,3,5,4,2,1]=>[1,5,2,4,6,1]
[1,4,1,2,3,5]=>[1,2,1,4,3,6]
[1,4,1,2,5,3]=>[1,4,1,2,3,6]
[1,4,1,3,2,5]=>[2,1,1,4,3,6]
[1,4,1,3,5,2]=>[4,1,1,2,3,6]
[1,4,1,5,2,3]=>[3,5,1,1,2,6]
[1,4,1,5,3,2]=>[5,3,1,1,2,6]
[1,4,2,1,3,5]=>[1,1,2,3,4,5]
[1,4,2,1,5,3]=>[1,3,2,1,4,5]
[1,4,2,3,1,5]=>[2,1,4,1,6,3]
[1,4,2,3,5,1]=>[4,2,5,1,6,1]
[1,4,2,5,1,3]=>[3,1,5,1,6,2]
[1,4,2,5,3,1]=>[4,1,5,2,6,1]
[1,4,3,1,2,5]=>[1,1,3,2,5,4]
[1,4,3,1,5,2]=>[3,1,2,1,4,5]
[1,4,3,2,1,5]=>[1,2,4,1,6,3]
[1,4,3,2,5,1]=>[2,4,5,1,6,1]
[1,4,3,5,1,2]=>[1,3,5,1,6,2]
[1,4,3,5,2,1]=>[1,4,5,2,6,1]
[1,4,5,1,2,3]=>[1,2,3,1,5,4]
[1,4,5,1,3,2]=>[2,1,3,1,5,4]
[1,4,5,2,1,3]=>[1,1,4,2,6,3]
[1,4,5,2,3,1]=>[2,1,5,4,6,1]
[1,4,5,3,1,2]=>[1,1,5,3,6,2]
[1,4,5,3,2,1]=>[1,2,5,4,6,1]
[1,5,1,2,3,4]=>[1,2,4,1,3,6]
[1,5,1,2,4,3]=>[1,4,2,1,3,6]
[1,5,1,3,2,4]=>[2,1,4,1,3,6]
[1,5,1,3,4,2]=>[4,1,2,1,3,6]
[1,5,1,4,2,3]=>[2,4,1,1,3,6]
[1,5,1,4,3,2]=>[4,2,1,1,3,6]
[1,5,2,1,3,4]=>[1,1,3,2,4,5]
[1,5,2,1,4,3]=>[1,3,1,2,4,5]
[1,5,2,3,1,4]=>[2,1,1,4,6,3]
[1,5,2,3,4,1]=>[4,2,1,5,6,1]
[1,5,2,4,1,3]=>[3,1,1,5,6,2]
[1,5,2,4,3,1]=>[4,1,2,5,6,1]
[1,5,3,1,2,4]=>[1,1,2,3,5,4]
[1,5,3,1,4,2]=>[3,1,1,2,4,5]
[1,5,3,2,1,4]=>[1,2,1,4,6,3]
[1,5,3,2,4,1]=>[2,4,1,5,6,1]
[1,5,3,4,1,2]=>[1,3,1,5,6,2]
[1,5,3,4,2,1]=>[1,4,2,5,6,1]
[1,5,4,1,2,3]=>[1,2,1,3,5,4]
[1,5,4,1,3,2]=>[2,1,1,3,5,4]
[1,5,4,2,1,3]=>[1,1,2,4,6,3]
[1,5,4,2,3,1]=>[2,1,4,5,6,1]
[1,5,4,3,1,2]=>[1,1,3,5,6,2]
[1,5,4,3,2,1]=>[1,2,4,5,6,1]
[2,1,1,3,4,5]=>[5,3,2,2,6,1]
[2,1,1,3,5,4]=>[5,2,3,2,6,1]
[2,1,1,4,3,5]=>[3,5,2,2,6,1]
[2,1,1,4,5,3]=>[2,5,3,2,6,1]
[2,1,1,5,3,4]=>[3,2,5,2,6,1]
[2,1,1,5,4,3]=>[2,3,5,2,6,1]
[2,1,3,1,4,5]=>[2,4,2,3,6,1]
[2,1,3,1,5,4]=>[2,2,4,3,6,1]
[2,1,3,4,1,5]=>[3,2,2,5,4,1]
[2,1,3,4,5,1]=>[5,3,2,6,2,1]
[2,1,3,5,1,4]=>[4,2,2,6,3,1]
[2,1,3,5,4,1]=>[5,2,3,6,2,1]
[2,1,4,1,3,5]=>[4,2,2,3,6,1]
[2,1,4,1,5,3]=>[2,2,3,4,5,1]
[2,1,4,3,1,5]=>[2,3,2,5,4,1]
[2,1,4,3,5,1]=>[3,5,2,6,2,1]
[2,1,4,5,1,3]=>[2,4,2,6,3,1]
[2,1,4,5,3,1]=>[2,5,3,6,2,1]
[2,1,5,1,3,4]=>[3,2,2,4,5,1]
[2,1,5,1,4,3]=>[2,3,2,4,5,1]
[2,1,5,3,1,4]=>[2,2,3,5,4,1]
[2,1,5,3,4,1]=>[3,2,5,6,2,1]
[2,1,5,4,1,3]=>[2,2,4,6,3,1]
[2,1,5,4,3,1]=>[2,3,5,6,2,1]
[2,3,1,1,4,5]=>[1,4,3,3,6,2]
[2,3,1,1,5,4]=>[1,3,4,3,6,2]
[2,3,1,4,1,5]=>[1,3,3,4,5,2]
[2,3,1,4,5,1]=>[1,4,3,6,3,2]
[2,3,1,5,1,4]=>[1,3,3,5,4,2]
[2,3,1,5,4,1]=>[1,3,4,6,3,2]
[2,3,4,1,1,5]=>[1,2,4,4,5,3]
[2,3,4,1,5,1]=>[1,2,4,5,4,3]
[2,3,4,5,1,1]=>[1,2,3,5,5,4]
[2,3,5,1,1,4]=>[1,4,2,4,5,3]
[2,3,5,1,4,1]=>[1,4,2,5,4,3]
[2,3,5,4,1,1]=>[1,3,2,5,5,4]
[2,4,1,1,3,5]=>[4,1,3,3,6,2]
[2,4,1,1,5,3]=>[3,1,4,3,6,2]
[2,4,1,3,1,5]=>[3,1,3,4,5,2]
[2,4,1,3,5,1]=>[4,1,3,6,3,2]
[2,4,1,5,1,3]=>[3,1,3,5,4,2]
[2,4,1,5,3,1]=>[3,1,4,6,3,2]
[2,4,3,1,1,5]=>[2,1,4,4,5,3]
[2,4,3,1,5,1]=>[2,1,4,5,4,3]
[2,4,3,5,1,1]=>[2,1,3,5,5,4]
[2,4,5,1,1,3]=>[4,1,2,4,5,3]
[2,4,5,1,3,1]=>[4,1,2,5,4,3]
[2,4,5,3,1,1]=>[3,1,2,5,5,4]
[2,5,1,1,3,4]=>[4,3,1,3,6,2]
[2,5,1,1,4,3]=>[3,4,1,3,6,2]
[2,5,1,3,1,4]=>[3,3,1,4,5,2]
[2,5,1,3,4,1]=>[4,3,1,6,3,2]
[2,5,1,4,1,3]=>[3,3,1,5,4,2]
[2,5,1,4,3,1]=>[3,4,1,6,3,2]
[2,5,3,1,1,4]=>[2,4,1,4,5,3]
[2,5,3,1,4,1]=>[2,4,1,5,4,3]
[2,5,3,4,1,1]=>[2,3,1,5,5,4]
[2,5,4,1,1,3]=>[4,2,1,4,5,3]
[2,5,4,1,3,1]=>[4,2,1,5,4,3]
[2,5,4,3,1,1]=>[3,2,1,5,5,4]
[3,1,1,2,4,5]=>[2,3,2,6,1,5]
[3,1,1,2,5,4]=>[3,2,2,6,1,5]
[3,1,1,4,2,5]=>[5,2,2,6,1,3]
[3,1,1,4,5,2]=>[5,4,2,6,1,2]
[3,1,1,5,2,4]=>[2,5,2,6,1,3]
[3,1,1,5,4,2]=>[4,5,2,6,1,2]
[3,1,2,1,4,5]=>[2,3,6,2,1,5]
[3,1,2,1,5,4]=>[3,2,6,2,1,5]
[3,1,2,4,1,5]=>[2,2,6,3,1,4]
[3,1,2,4,5,1]=>[3,2,4,5,1,2]
[3,1,2,5,1,4]=>[2,2,5,4,1,3]
[3,1,2,5,4,1]=>[2,3,4,5,1,2]
[3,1,4,1,2,5]=>[2,2,3,6,1,4]
[3,1,4,1,5,2]=>[2,4,3,6,1,2]
[3,1,4,2,1,5]=>[5,2,6,2,1,3]
[3,1,4,2,5,1]=>[4,2,6,3,1,2]
[3,1,4,5,1,2]=>[3,2,5,4,1,2]
[3,1,4,5,2,1]=>[5,4,6,2,1,2]
[3,1,5,1,2,4]=>[2,2,4,5,1,3]
[3,1,5,1,4,2]=>[4,2,3,6,1,2]
[3,1,5,2,1,4]=>[2,5,6,2,1,3]
[3,1,5,2,4,1]=>[2,4,6,3,1,2]
[3,1,5,4,1,2]=>[2,3,5,4,1,2]
[3,1,5,4,2,1]=>[4,5,6,2,1,2]
[3,2,1,1,4,5]=>[3,2,5,5,4,1]
[3,2,1,1,5,4]=>[2,3,5,5,4,1]
[3,2,1,4,1,5]=>[4,2,4,5,3,1]
[3,2,1,4,5,1]=>[4,3,3,6,2,1]
[3,2,1,5,1,4]=>[2,4,4,5,3,1]
[3,2,1,5,4,1]=>[3,4,3,6,2,1]
[3,2,4,1,1,5]=>[4,2,5,4,3,1]
[3,2,4,1,5,1]=>[3,3,4,5,2,1]
[3,2,4,5,1,1]=>[4,3,6,3,2,1]
[3,2,5,1,1,4]=>[2,4,5,4,3,1]
[3,2,5,1,4,1]=>[3,3,5,4,2,1]
[3,2,5,4,1,1]=>[3,4,6,3,2,1]
[3,4,1,1,2,5]=>[1,3,3,6,2,4]
[3,4,1,1,5,2]=>[1,5,3,6,2,3]
[3,4,1,2,1,5]=>[1,3,6,3,2,4]
[3,4,1,2,5,1]=>[1,3,5,4,2,3]
[3,4,1,5,1,2]=>[1,3,4,5,2,3]
[3,4,1,5,2,1]=>[1,5,6,3,2,3]
[3,4,2,1,1,5]=>[1,3,5,5,4,2]
[3,4,2,1,5,1]=>[1,4,4,5,3,2]
[3,4,2,5,1,1]=>[1,4,5,4,3,2]
[3,4,5,1,1,2]=>[1,2,4,6,3,4]
[3,4,5,1,2,1]=>[1,2,6,4,3,4]
[3,4,5,2,1,1]=>[1,2,5,5,4,3]
[3,5,1,1,2,4]=>[3,1,3,6,2,4]
[3,5,1,1,4,2]=>[5,1,3,6,2,3]
[3,5,1,2,1,4]=>[3,1,6,3,2,4]
[3,5,1,2,4,1]=>[3,1,5,4,2,3]
[3,5,1,4,1,2]=>[3,1,4,5,2,3]
[3,5,1,4,2,1]=>[5,1,6,3,2,3]
[3,5,2,1,1,4]=>[3,1,5,5,4,2]
[3,5,2,1,4,1]=>[4,1,4,5,3,2]
[3,5,2,4,1,1]=>[4,1,5,4,3,2]
[3,5,4,1,1,2]=>[2,1,4,6,3,4]
[3,5,4,1,2,1]=>[2,1,6,4,3,4]
[3,5,4,2,1,1]=>[2,1,5,5,4,3]
[4,1,1,2,3,5]=>[4,2,6,1,5,2]
[4,1,1,2,5,3]=>[2,2,6,1,5,3]
[4,1,1,3,2,5]=>[4,2,6,1,2,5]
[4,1,1,3,5,2]=>[2,2,6,1,3,5]
[4,1,1,5,2,3]=>[5,2,6,1,4,2]
[4,1,1,5,3,2]=>[5,2,6,1,2,4]
[4,1,2,1,3,5]=>[4,6,2,1,5,2]
[4,1,2,1,5,3]=>[2,6,2,1,5,3]
[4,1,2,3,1,5]=>[2,4,5,1,2,3]
[4,1,2,3,5,1]=>[2,5,4,1,3,2]
[4,1,2,5,1,3]=>[2,6,3,1,4,2]
[4,1,2,5,3,1]=>[4,3,6,1,2,2]
[4,1,3,1,2,5]=>[4,6,2,1,2,5]
[4,1,3,1,5,2]=>[2,6,2,1,3,5]
[4,1,3,2,1,5]=>[2,5,4,1,2,3]
[4,1,3,2,5,1]=>[2,4,5,1,3,2]
[4,1,3,5,1,2]=>[2,6,3,1,2,4]
[4,1,3,5,2,1]=>[3,4,5,1,2,2]
[4,1,5,1,2,3]=>[2,3,6,1,4,2]
[4,1,5,1,3,2]=>[2,3,6,1,2,4]
[4,1,5,2,1,3]=>[5,6,2,1,4,2]
[4,1,5,2,3,1]=>[3,5,4,1,2,2]
[4,1,5,3,1,2]=>[5,6,2,1,2,4]
[4,1,5,3,2,1]=>[4,6,3,1,2,2]
[4,2,1,1,3,5]=>[2,5,5,4,1,3]
[4,2,1,1,5,3]=>[3,5,5,4,1,2]
[4,2,1,3,1,5]=>[3,3,6,2,1,4]
[4,2,1,3,5,1]=>[2,4,6,3,1,4]
[4,2,1,5,1,3]=>[4,4,5,3,1,2]
[4,2,1,5,3,1]=>[5,3,6,2,1,3]
[4,2,3,1,1,5]=>[3,6,3,2,1,4]
[4,2,3,1,5,1]=>[2,6,4,3,1,4]
[4,2,3,5,1,1]=>[3,5,4,2,1,3]
[4,2,5,1,1,3]=>[4,5,4,3,1,2]
[4,2,5,1,3,1]=>[3,4,5,2,1,3]
[4,2,5,3,1,1]=>[5,6,3,2,1,3]
[4,3,1,1,2,5]=>[2,5,5,4,3,1]
[4,3,1,1,5,2]=>[3,5,5,4,2,1]
[4,3,1,2,1,5]=>[2,4,6,3,4,1]
[4,3,1,2,5,1]=>[3,3,6,2,4,1]
[4,3,1,5,1,2]=>[4,4,5,3,2,1]
[4,3,1,5,2,1]=>[5,3,6,2,3,1]
[4,3,2,1,1,5]=>[2,6,4,3,4,1]
[4,3,2,1,5,1]=>[3,6,3,2,4,1]
[4,3,2,5,1,1]=>[3,5,4,2,3,1]
[4,3,5,1,1,2]=>[4,5,4,3,2,1]
[4,3,5,1,2,1]=>[3,4,5,2,3,1]
[4,3,5,2,1,1]=>[5,6,3,2,3,1]
[4,5,1,1,2,3]=>[1,3,6,2,5,3]
[4,5,1,1,3,2]=>[1,3,6,2,3,5]
[4,5,1,2,1,3]=>[1,6,3,2,5,3]
[4,5,1,2,3,1]=>[1,4,5,2,3,3]
[4,5,1,3,1,2]=>[1,6,3,2,3,5]
[4,5,1,3,2,1]=>[1,5,4,2,3,3]
[4,5,2,1,1,3]=>[1,5,5,4,2,3]
[4,5,2,1,3,1]=>[1,4,6,3,2,4]
[4,5,2,3,1,1]=>[1,6,4,3,2,4]
[4,5,3,1,1,2]=>[1,5,5,4,3,2]
[4,5,3,1,2,1]=>[1,4,6,3,4,2]
[4,5,3,2,1,1]=>[1,6,4,3,4,2]
[5,1,1,2,3,4]=>[2,6,1,5,2,4]
[5,1,1,2,4,3]=>[2,6,1,5,4,2]
[5,1,1,3,2,4]=>[2,6,1,2,5,4]
[5,1,1,3,4,2]=>[2,6,1,4,5,2]
[5,1,1,4,2,3]=>[2,6,1,2,4,5]
[5,1,1,4,3,2]=>[2,6,1,4,2,5]
[5,1,2,1,3,4]=>[6,2,1,5,2,4]
[5,1,2,1,4,3]=>[6,2,1,5,4,2]
[5,1,2,3,1,4]=>[3,6,1,2,4,2]
[5,1,2,3,4,1]=>[6,3,1,4,2,2]
[5,1,2,4,1,3]=>[3,6,1,2,2,4]
[5,1,2,4,3,1]=>[5,4,1,3,2,2]
[5,1,3,1,2,4]=>[6,2,1,2,5,4]
[5,1,3,1,4,2]=>[6,2,1,4,5,2]
[5,1,3,2,1,4]=>[6,3,1,2,4,2]
[5,1,3,2,4,1]=>[3,6,1,4,2,2]
[5,1,3,4,1,2]=>[4,5,1,2,2,3]
[5,1,3,4,2,1]=>[5,4,1,2,3,2]
[5,1,4,1,2,3]=>[6,2,1,2,4,5]
[5,1,4,1,3,2]=>[6,2,1,4,2,5]
[5,1,4,2,1,3]=>[6,3,1,2,2,4]
[5,1,4,2,3,1]=>[4,5,1,3,2,2]
[5,1,4,3,1,2]=>[5,4,1,2,2,3]
[5,1,4,3,2,1]=>[4,5,1,2,3,2]
[5,2,1,1,3,4]=>[5,5,4,1,3,2]
[5,2,1,1,4,3]=>[5,5,4,1,2,3]
[5,2,1,3,1,4]=>[3,6,2,1,5,3]
[5,2,1,3,4,1]=>[4,6,3,1,4,2]
[5,2,1,4,1,3]=>[3,6,2,1,3,5]
[5,2,1,4,3,1]=>[4,6,3,1,2,4]
[5,2,3,1,1,4]=>[6,3,2,1,5,3]
[5,2,3,1,4,1]=>[6,4,3,1,4,2]
[5,2,3,4,1,1]=>[4,5,2,1,3,3]
[5,2,4,1,1,3]=>[6,3,2,1,3,5]
[5,2,4,1,3,1]=>[6,4,3,1,2,4]
[5,2,4,3,1,1]=>[5,4,2,1,3,3]
[5,3,1,1,2,4]=>[5,5,4,3,1,2]
[5,3,1,1,4,2]=>[5,5,4,2,1,3]
[5,3,1,2,1,4]=>[4,6,3,4,1,2]
[5,3,1,2,4,1]=>[3,6,2,5,1,3]
[5,3,1,4,1,2]=>[3,6,2,3,1,5]
[5,3,1,4,2,1]=>[4,6,3,2,1,4]
[5,3,2,1,1,4]=>[6,4,3,4,1,2]
[5,3,2,1,4,1]=>[6,3,2,5,1,3]
[5,3,2,4,1,1]=>[4,5,2,3,1,3]
[5,3,4,1,1,2]=>[6,3,2,3,1,5]
[5,3,4,1,2,1]=>[6,4,3,2,1,4]
[5,3,4,2,1,1]=>[5,4,2,3,1,3]
[5,4,1,1,2,3]=>[5,5,4,3,2,1]
[5,4,1,1,3,2]=>[5,5,4,2,3,1]
[5,4,1,2,1,3]=>[4,6,3,4,2,1]
[5,4,1,2,3,1]=>[3,6,2,5,3,1]
[5,4,1,3,1,2]=>[4,6,3,2,4,1]
[5,4,1,3,2,1]=>[3,6,2,3,5,1]
[5,4,2,1,1,3]=>[6,4,3,4,2,1]
[5,4,2,1,3,1]=>[6,3,2,5,3,1]
[5,4,2,3,1,1]=>[4,5,2,3,3,1]
[5,4,3,1,1,2]=>[6,4,3,2,4,1]
[5,4,3,1,2,1]=>[6,3,2,3,5,1]
[5,4,3,2,1,1]=>[5,4,2,3,3,1]
[1,1,2,3,4,6]=>[1,2,4,1,5,6]
[1,1,2,3,6,4]=>[1,2,5,1,4,6]
[1,1,2,4,3,6]=>[1,4,2,1,5,6]
[1,1,2,4,6,3]=>[1,5,2,1,4,6]
[1,1,2,6,3,4]=>[1,4,5,1,2,6]
[1,1,2,6,4,3]=>[1,5,4,1,2,6]
[1,1,3,2,4,6]=>[2,1,4,1,5,6]
[1,1,3,2,6,4]=>[2,1,5,1,4,6]
[1,1,3,4,2,6]=>[4,1,2,1,5,6]
[1,1,3,4,6,2]=>[5,1,2,1,4,6]
[1,1,3,6,2,4]=>[4,1,5,1,2,6]
[1,1,3,6,4,2]=>[5,1,4,1,2,6]
[1,1,4,2,3,6]=>[2,4,1,1,5,6]
[1,1,4,2,6,3]=>[2,5,1,1,4,6]
[1,1,4,3,2,6]=>[4,2,1,1,5,6]
[1,1,4,3,6,2]=>[5,2,1,1,4,6]
[1,1,4,6,2,3]=>[4,5,1,1,2,6]
[1,1,4,6,3,2]=>[5,4,1,1,2,6]
[1,1,6,2,3,4]=>[3,4,5,1,1,6]
[1,1,6,2,4,3]=>[3,5,4,1,1,6]
[1,1,6,3,2,4]=>[4,3,5,1,1,6]
[1,1,6,3,4,2]=>[5,3,4,1,1,6]
[1,1,6,4,2,3]=>[4,5,3,1,1,6]
[1,1,6,4,3,2]=>[5,4,3,1,1,6]
[1,2,1,3,4,6]=>[1,1,3,2,5,6]
[1,2,1,3,6,4]=>[1,1,5,2,3,6]
[1,2,1,4,3,6]=>[1,3,1,2,5,6]
[1,2,1,4,6,3]=>[1,5,1,2,3,6]
[1,2,1,6,3,4]=>[1,3,5,2,1,6]
[1,2,1,6,4,3]=>[1,5,3,2,1,6]
[1,2,3,1,4,6]=>[2,1,1,4,3,5]
[1,2,3,1,6,4]=>[2,1,3,4,1,5]
[1,2,3,4,1,6]=>[4,2,1,6,1,3]
[1,2,3,4,6,1]=>[5,4,2,6,1,1]
[1,2,3,6,1,4]=>[5,3,1,6,1,2]
[1,2,3,6,4,1]=>[5,4,1,6,2,1]
[1,2,4,1,3,6]=>[3,1,1,5,2,4]
[1,2,4,1,6,3]=>[2,3,1,4,1,5]
[1,2,4,3,1,6]=>[4,1,2,6,1,3]
[1,2,4,3,6,1]=>[5,2,4,6,1,1]
[1,2,4,6,1,3]=>[5,1,3,6,1,2]
[1,2,4,6,3,1]=>[5,1,4,6,2,1]
[1,2,6,1,3,4]=>[3,1,2,5,1,4]
[1,2,6,1,4,3]=>[3,2,1,5,1,4]
[1,2,6,3,1,4]=>[4,1,1,6,2,3]
[1,2,6,3,4,1]=>[5,2,1,6,4,1]
[1,2,6,4,1,3]=>[5,1,1,6,3,2]
[1,2,6,4,3,1]=>[5,1,2,6,4,1]
[1,3,1,2,4,6]=>[1,1,2,3,4,6]
[1,3,1,2,6,4]=>[1,1,4,3,2,6]
[1,3,1,4,2,6]=>[3,1,1,2,5,6]
[1,3,1,4,6,2]=>[5,1,1,2,3,6]
[1,3,1,6,2,4]=>[3,1,5,2,1,6]
[1,3,1,6,4,2]=>[5,1,3,2,1,6]
[1,3,2,1,4,6]=>[1,2,1,4,3,5]
[1,3,2,1,6,4]=>[1,2,3,4,1,5]
[1,3,2,4,1,6]=>[2,4,1,6,1,3]
[1,3,2,4,6,1]=>[4,5,2,6,1,1]
[1,3,2,6,1,4]=>[3,5,1,6,1,2]
[1,3,2,6,4,1]=>[4,5,1,6,2,1]
[1,3,4,1,2,6]=>[1,3,1,5,2,4]
[1,3,4,1,6,2]=>[3,2,1,4,1,5]
[1,3,4,2,1,6]=>[1,4,2,6,1,3]
[1,3,4,2,6,1]=>[2,5,4,6,1,1]
[1,3,4,6,1,2]=>[1,5,3,6,1,2]
[1,3,4,6,2,1]=>[1,5,4,6,2,1]
[1,3,6,1,2,4]=>[1,3,2,5,1,4]
[1,3,6,1,4,2]=>[2,3,1,5,1,4]
[1,3,6,2,1,4]=>[1,4,1,6,2,3]
[1,3,6,2,4,1]=>[2,5,1,6,4,1]
[1,3,6,4,1,2]=>[1,5,1,6,3,2]
[1,3,6,4,2,1]=>[1,5,2,6,4,1]
[1,4,1,2,3,6]=>[1,2,1,3,4,6]
[1,4,1,2,6,3]=>[1,4,1,3,2,6]
[1,4,1,3,2,6]=>[2,1,1,3,4,6]
[1,4,1,3,6,2]=>[4,1,1,3,2,6]
[1,4,1,6,2,3]=>[3,5,1,2,1,6]
[1,4,1,6,3,2]=>[5,3,1,2,1,6]
[1,4,2,1,3,6]=>[1,1,2,4,3,5]
[1,4,2,1,6,3]=>[1,3,2,4,1,5]
[1,4,2,3,1,6]=>[2,1,4,6,1,3]
[1,4,2,3,6,1]=>[4,2,5,6,1,1]
[1,4,2,6,1,3]=>[3,1,5,6,1,2]
[1,4,2,6,3,1]=>[4,1,5,6,2,1]
[1,4,3,1,2,6]=>[1,1,3,5,2,4]
[1,4,3,1,6,2]=>[3,1,2,4,1,5]
[1,4,3,2,1,6]=>[1,2,4,6,1,3]
[1,4,3,2,6,1]=>[2,4,5,6,1,1]
[1,4,3,6,1,2]=>[1,3,5,6,1,2]
[1,4,3,6,2,1]=>[1,4,5,6,2,1]
[1,4,6,1,2,3]=>[1,2,3,5,1,4]
[1,4,6,1,3,2]=>[2,1,3,5,1,4]
[1,4,6,2,1,3]=>[1,1,4,6,2,3]
[1,4,6,2,3,1]=>[2,1,5,6,4,1]
[1,4,6,3,1,2]=>[1,1,5,6,3,2]
[1,4,6,3,2,1]=>[1,2,5,6,4,1]
[1,6,1,2,3,4]=>[1,2,4,3,1,6]
[1,6,1,2,4,3]=>[1,4,2,3,1,6]
[1,6,1,3,2,4]=>[2,1,4,3,1,6]
[1,6,1,3,4,2]=>[4,1,2,3,1,6]
[1,6,1,4,2,3]=>[2,4,1,3,1,6]
[1,6,1,4,3,2]=>[4,2,1,3,1,6]
[1,6,2,1,3,4]=>[1,1,3,4,2,5]
[1,6,2,1,4,3]=>[1,3,1,4,2,5]
[1,6,2,3,1,4]=>[2,1,1,6,4,3]
[1,6,2,3,4,1]=>[4,2,1,6,5,1]
[1,6,2,4,1,3]=>[3,1,1,6,5,2]
[1,6,2,4,3,1]=>[4,1,2,6,5,1]
[1,6,3,1,2,4]=>[1,1,2,5,3,4]
[1,6,3,1,4,2]=>[3,1,1,4,2,5]
[1,6,3,2,1,4]=>[1,2,1,6,4,3]
[1,6,3,2,4,1]=>[2,4,1,6,5,1]
[1,6,3,4,1,2]=>[1,3,1,6,5,2]
[1,6,3,4,2,1]=>[1,4,2,6,5,1]
[1,6,4,1,2,3]=>[1,2,1,5,3,4]
[1,6,4,1,3,2]=>[2,1,1,5,3,4]
[1,6,4,2,1,3]=>[1,1,2,6,4,3]
[1,6,4,2,3,1]=>[2,1,4,6,5,1]
[1,6,4,3,1,2]=>[1,1,3,6,5,2]
[1,6,4,3,2,1]=>[1,2,4,6,5,1]
[2,1,1,3,4,6]=>[5,4,2,2,6,1]
[2,1,1,3,6,4]=>[5,2,2,3,6,1]
[2,1,1,4,3,6]=>[4,5,2,2,6,1]
[2,1,1,4,6,3]=>[2,5,2,3,6,1]
[2,1,1,6,3,4]=>[3,2,2,5,6,1]
[2,1,1,6,4,3]=>[2,3,2,5,6,1]
[2,1,3,1,4,6]=>[2,4,3,2,6,1]
[2,1,3,1,6,4]=>[2,2,3,4,6,1]
[2,1,3,4,1,6]=>[3,2,5,2,4,1]
[2,1,3,4,6,1]=>[5,3,6,2,2,1]
[2,1,3,6,1,4]=>[4,2,6,2,3,1]
[2,1,3,6,4,1]=>[5,2,6,3,2,1]
[2,1,4,1,3,6]=>[4,2,3,2,6,1]
[2,1,4,1,6,3]=>[2,2,4,3,5,1]
[2,1,4,3,1,6]=>[2,3,5,2,4,1]
[2,1,4,3,6,1]=>[3,5,6,2,2,1]
[2,1,4,6,1,3]=>[2,4,6,2,3,1]
[2,1,4,6,3,1]=>[2,5,6,3,2,1]
[2,1,6,1,3,4]=>[3,2,4,2,5,1]
[2,1,6,1,4,3]=>[2,3,4,2,5,1]
[2,1,6,3,1,4]=>[2,2,5,3,4,1]
[2,1,6,3,4,1]=>[3,2,6,5,2,1]
[2,1,6,4,1,3]=>[2,2,6,4,3,1]
[2,1,6,4,3,1]=>[2,3,6,5,2,1]
[2,3,1,1,4,6]=>[1,5,3,3,6,2]
[2,3,1,1,6,4]=>[1,3,3,4,6,2]
[2,3,1,4,1,6]=>[1,3,4,3,5,2]
[2,3,1,4,6,1]=>[1,4,6,3,3,2]
[2,3,1,6,1,4]=>[1,3,5,3,4,2]
[2,3,1,6,4,1]=>[1,3,6,4,3,2]
[2,3,4,1,1,6]=>[1,2,4,4,6,3]
[2,3,4,1,6,1]=>[1,2,5,4,4,3]
[2,3,4,6,1,1]=>[1,2,5,3,5,4]
[2,3,6,1,1,4]=>[1,4,4,2,5,3]
[2,3,6,1,4,1]=>[1,3,5,2,5,4]
[2,3,6,4,1,1]=>[1,4,5,2,4,3]
[2,4,1,1,3,6]=>[5,1,3,3,6,2]
[2,4,1,1,6,3]=>[3,1,3,4,6,2]
[2,4,1,3,1,6]=>[3,1,4,3,5,2]
[2,4,1,3,6,1]=>[4,1,6,3,3,2]
[2,4,1,6,1,3]=>[3,1,5,3,4,2]
[2,4,1,6,3,1]=>[3,1,6,4,3,2]
[2,4,3,1,1,6]=>[2,1,4,4,6,3]
[2,4,3,1,6,1]=>[2,1,5,4,4,3]
[2,4,3,6,1,1]=>[2,1,5,3,5,4]
[2,4,6,1,1,3]=>[4,1,4,2,5,3]
[2,4,6,1,3,1]=>[3,1,5,2,5,4]
[2,4,6,3,1,1]=>[4,1,5,2,4,3]
[2,6,1,1,3,4]=>[4,3,3,1,6,2]
[2,6,1,1,4,3]=>[3,4,3,1,6,2]
[2,6,1,3,1,4]=>[2,4,4,1,5,3]
[2,6,1,3,4,1]=>[2,3,5,1,5,4]
[2,6,1,4,1,3]=>[4,2,4,1,5,3]
[2,6,1,4,3,1]=>[3,2,5,1,5,4]
[2,6,3,1,1,4]=>[3,3,4,1,5,2]
[2,6,3,1,4,1]=>[4,2,5,1,4,3]
[2,6,3,4,1,1]=>[4,3,6,1,3,2]
[2,6,4,1,1,3]=>[3,3,5,1,4,2]
[2,6,4,1,3,1]=>[2,4,5,1,4,3]
[2,6,4,3,1,1]=>[3,4,6,1,3,2]
[3,1,1,2,4,6]=>[2,2,3,6,1,5]
[3,1,1,2,6,4]=>[4,2,2,6,1,5]
[3,1,1,4,2,6]=>[5,2,2,6,1,4]
[3,1,1,4,6,2]=>[5,2,4,6,1,2]
[3,1,1,6,2,4]=>[2,2,5,6,1,3]
[3,1,1,6,4,2]=>[4,2,5,6,1,2]
[3,1,2,1,4,6]=>[2,6,3,2,1,5]
[3,1,2,1,6,4]=>[3,6,2,2,1,5]
[3,1,2,4,1,6]=>[2,6,2,3,1,4]
[3,1,2,4,6,1]=>[3,4,2,5,1,2]
[3,1,2,6,1,4]=>[2,5,2,4,1,3]
[3,1,2,6,4,1]=>[2,4,3,5,1,2]
[3,1,4,1,2,6]=>[2,3,2,6,1,4]
[3,1,4,1,6,2]=>[2,3,4,6,1,2]
[3,1,4,2,1,6]=>[5,6,2,2,1,3]
[3,1,4,2,6,1]=>[4,6,2,3,1,2]
[3,1,4,6,1,2]=>[3,5,2,4,1,2]
[3,1,4,6,2,1]=>[5,6,4,2,1,2]
[3,1,6,1,2,4]=>[2,4,2,5,1,3]
[3,1,6,1,4,2]=>[4,3,2,6,1,2]
[3,1,6,2,1,4]=>[2,6,5,2,1,3]
[3,1,6,2,4,1]=>[2,6,4,3,1,2]
[3,1,6,4,1,2]=>[2,5,3,4,1,2]
[3,1,6,4,2,1]=>[4,6,5,2,1,2]
[3,2,1,1,4,6]=>[3,5,2,5,4,1]
[3,2,1,1,6,4]=>[2,5,3,5,4,1]
[3,2,1,4,1,6]=>[4,4,2,5,3,1]
[3,2,1,4,6,1]=>[5,3,3,6,2,1]
[3,2,1,6,1,4]=>[2,4,4,6,3,1]
[3,2,1,6,4,1]=>[3,3,4,6,2,1]
[3,2,4,1,1,6]=>[4,5,2,4,3,1]
[3,2,4,1,6,1]=>[3,4,3,5,2,1]
[3,2,4,6,1,1]=>[4,6,3,3,2,1]
[3,2,6,1,1,4]=>[2,5,4,4,3,1]
[3,2,6,1,4,1]=>[3,5,3,4,2,1]
[3,2,6,4,1,1]=>[3,6,4,3,2,1]
[3,4,1,1,2,6]=>[1,3,3,6,2,5]
[3,4,1,1,6,2]=>[1,3,5,6,2,3]
[3,4,1,2,1,6]=>[1,6,3,3,2,4]
[3,4,1,2,6,1]=>[1,5,3,4,2,3]
[3,4,1,6,1,2]=>[1,4,3,5,2,3]
[3,4,1,6,2,1]=>[1,6,5,3,2,3]
[3,4,2,1,1,6]=>[1,5,3,5,4,2]
[3,4,2,1,6,1]=>[1,4,4,6,3,2]
[3,4,2,6,1,1]=>[1,5,4,4,3,2]
[3,4,6,1,1,2]=>[1,4,2,6,3,4]
[3,4,6,1,2,1]=>[1,5,2,5,4,3]
[3,4,6,2,1,1]=>[1,6,2,4,3,4]
[3,6,1,1,2,4]=>[3,3,1,6,2,4]
[3,6,1,1,4,2]=>[5,3,1,6,2,3]
[3,6,1,2,1,4]=>[3,5,1,5,4,2]
[3,6,1,2,4,1]=>[4,4,1,5,3,2]
[3,6,1,4,1,2]=>[2,4,1,6,3,4]
[3,6,1,4,2,1]=>[2,5,1,5,4,3]
[3,6,2,1,1,4]=>[3,6,1,3,2,4]
[3,6,2,1,4,1]=>[3,5,1,4,2,3]
[3,6,2,4,1,1]=>[2,6,1,4,3,4]
[3,6,4,1,1,2]=>[3,4,1,5,2,3]
[3,6,4,1,2,1]=>[4,5,1,4,3,2]
[3,6,4,2,1,1]=>[5,6,1,3,2,3]
[4,1,1,2,3,6]=>[2,4,6,1,5,2]
[4,1,1,2,6,3]=>[2,2,6,1,5,4]
[4,1,1,3,2,6]=>[2,4,6,1,2,5]
[4,1,1,3,6,2]=>[2,2,6,1,4,5]
[4,1,1,6,2,3]=>[2,5,6,1,4,2]
[4,1,1,6,3,2]=>[2,5,6,1,2,4]
[4,1,2,1,3,6]=>[6,4,2,1,5,2]
[4,1,2,1,6,3]=>[6,2,2,1,5,3]
[4,1,2,3,1,6]=>[4,2,5,1,2,3]
[4,1,2,3,6,1]=>[5,2,4,1,3,2]
[4,1,2,6,1,3]=>[6,2,3,1,4,2]
[4,1,2,6,3,1]=>[3,4,6,1,2,2]
[4,1,3,1,2,6]=>[6,4,2,1,2,5]
[4,1,3,1,6,2]=>[6,2,2,1,3,5]
[4,1,3,2,1,6]=>[5,2,4,1,2,3]
[4,1,3,2,6,1]=>[4,2,5,1,3,2]
[4,1,3,6,1,2]=>[6,2,3,1,2,4]
[4,1,3,6,2,1]=>[4,3,5,1,2,2]
[4,1,6,1,2,3]=>[3,2,6,1,4,2]
[4,1,6,1,3,2]=>[3,2,6,1,2,4]
[4,1,6,2,1,3]=>[6,5,2,1,4,2]
[4,1,6,2,3,1]=>[5,3,4,1,2,2]
[4,1,6,3,1,2]=>[6,5,2,1,2,4]
[4,1,6,3,2,1]=>[6,4,3,1,2,2]
[4,2,1,1,3,6]=>[5,2,5,4,1,3]
[4,2,1,1,6,3]=>[5,3,5,4,1,2]
[4,2,1,3,1,6]=>[3,3,6,2,1,5]
[4,2,1,3,6,1]=>[4,2,6,3,1,4]
[4,2,1,6,1,3]=>[4,4,6,3,1,2]
[4,2,1,6,3,1]=>[3,5,6,2,1,3]
[4,2,3,1,1,6]=>[6,3,3,2,1,4]
[4,2,3,1,6,1]=>[6,2,4,3,1,4]
[4,2,3,6,1,1]=>[5,3,4,2,1,3]
[4,2,6,1,1,3]=>[5,4,4,3,1,2]
[4,2,6,1,3,1]=>[4,3,5,2,1,3]
[4,2,6,3,1,1]=>[6,5,3,2,1,3]
[4,3,1,1,2,6]=>[5,2,5,4,3,1]
[4,3,1,1,6,2]=>[5,3,5,4,2,1]
[4,3,1,2,1,6]=>[4,2,6,3,4,1]
[4,3,1,2,6,1]=>[3,3,6,2,5,1]
[4,3,1,6,1,2]=>[4,4,6,3,2,1]
[4,3,1,6,2,1]=>[3,5,6,2,3,1]
[4,3,2,1,1,6]=>[6,2,4,3,4,1]
[4,3,2,1,6,1]=>[6,3,3,2,4,1]
[4,3,2,6,1,1]=>[5,3,4,2,3,1]
[4,3,6,1,1,2]=>[5,4,4,3,2,1]
[4,3,6,1,2,1]=>[4,3,5,2,3,1]
[4,3,6,2,1,1]=>[6,5,3,2,3,1]
[4,6,1,1,2,3]=>[3,1,6,2,5,3]
[4,6,1,1,3,2]=>[3,1,6,2,3,5]
[4,6,1,2,1,3]=>[5,1,5,4,2,3]
[4,6,1,2,3,1]=>[4,1,6,3,2,4]
[4,6,1,3,1,2]=>[5,1,5,4,3,2]
[4,6,1,3,2,1]=>[4,1,6,3,4,2]
[4,6,2,1,1,3]=>[6,1,3,2,5,3]
[4,6,2,1,3,1]=>[4,1,5,2,3,3]
[4,6,2,3,1,1]=>[6,1,4,3,4,2]
[4,6,3,1,1,2]=>[6,1,3,2,3,5]
[4,6,3,1,2,1]=>[5,1,4,2,3,3]
[4,6,3,2,1,1]=>[6,1,4,3,2,4]
[6,1,1,2,3,4]=>[2,1,2,4,5,6]
[6,1,1,2,4,3]=>[2,1,2,5,4,6]
[6,1,1,3,2,4]=>[2,1,4,2,5,6]
[6,1,1,3,4,2]=>[2,1,5,2,4,6]
[6,1,1,4,2,3]=>[2,1,4,5,2,6]
[6,1,1,4,3,2]=>[2,1,5,4,2,6]
[6,1,2,1,3,4]=>[3,1,2,2,4,6]
[6,1,2,1,4,3]=>[3,1,2,4,2,6]
[6,1,2,3,1,4]=>[5,1,3,2,2,4]
[6,1,2,3,4,1]=>[6,1,5,3,2,2]
[6,1,2,4,1,3]=>[6,1,4,2,2,3]
[6,1,2,4,3,1]=>[6,1,5,2,3,2]
[6,1,3,1,2,4]=>[4,1,2,2,3,5]
[6,1,3,1,4,2]=>[3,1,4,2,2,6]
[6,1,3,2,1,4]=>[5,1,2,3,2,4]
[6,1,3,2,4,1]=>[6,1,3,5,2,2]
[6,1,3,4,1,2]=>[6,1,2,4,2,3]
[6,1,3,4,2,1]=>[6,1,2,5,3,2]
[6,1,4,1,2,3]=>[4,1,2,3,2,5]
[6,1,4,1,3,2]=>[4,1,3,2,2,5]
[6,1,4,2,1,3]=>[5,1,2,2,3,4]
[6,1,4,2,3,1]=>[6,1,3,2,5,2]
[6,1,4,3,1,2]=>[6,1,2,2,4,3]
[6,1,4,3,2,1]=>[6,1,2,3,5,2]
[6,2,1,1,3,4]=>[3,2,1,3,5,6]
[6,2,1,1,4,3]=>[3,2,1,5,3,6]
[6,2,1,3,1,4]=>[4,3,1,2,4,6]
[6,2,1,3,4,1]=>[5,4,1,2,3,5]
[6,2,1,4,1,3]=>[4,3,1,4,2,6]
[6,2,1,4,3,1]=>[5,4,1,3,2,5]
[6,2,3,1,1,4]=>[4,2,1,3,3,5]
[6,2,3,1,4,1]=>[6,2,1,4,3,3]
[6,2,3,4,1,1]=>[5,3,1,4,2,4]
[6,2,4,1,1,3]=>[5,2,1,3,3,4]
[6,2,4,1,3,1]=>[6,2,1,3,4,3]
[6,2,4,3,1,1]=>[5,3,1,2,4,4]
[6,3,1,1,2,4]=>[3,2,3,1,5,6]
[6,3,1,1,4,2]=>[3,2,5,1,3,6]
[6,3,1,2,1,4]=>[4,3,2,1,4,6]
[6,3,1,2,4,1]=>[5,4,2,1,3,5]
[6,3,1,4,1,2]=>[4,3,4,1,2,6]
[6,3,1,4,2,1]=>[5,4,3,1,2,5]
[6,3,2,1,1,4]=>[4,2,3,1,3,5]
[6,3,2,1,4,1]=>[5,3,4,1,2,4]
[6,3,2,4,1,1]=>[6,2,4,1,3,3]
[6,3,4,1,1,2]=>[5,2,3,1,3,4]
[6,3,4,1,2,1]=>[6,2,3,1,4,3]
[6,3,4,2,1,1]=>[5,3,2,1,4,4]
[6,4,1,1,2,3]=>[3,2,3,5,1,6]
[6,4,1,1,3,2]=>[3,2,5,3,1,6]
[6,4,1,2,1,3]=>[4,3,2,4,1,6]
[6,4,1,2,3,1]=>[5,4,2,3,1,5]
[6,4,1,3,1,2]=>[4,3,4,2,1,6]
[6,4,1,3,2,1]=>[5,4,3,2,1,5]
[6,4,2,1,1,3]=>[4,2,3,3,1,5]
[6,4,2,1,3,1]=>[5,3,4,2,1,4]
[6,4,2,3,1,1]=>[6,2,4,3,1,3]
[6,4,3,1,1,2]=>[5,2,3,3,1,4]
[6,4,3,1,2,1]=>[5,3,2,4,1,4]
[6,4,3,2,1,1]=>[6,2,3,4,1,3]
[1,1,2,3,5,5]=>[1,2,1,4,5,5]
[1,1,2,5,3,5]=>[1,4,1,2,5,4]
[1,1,2,5,5,3]=>[1,4,1,2,4,5]
[1,1,3,2,5,5]=>[2,1,1,4,5,5]
[1,1,3,5,2,5]=>[4,1,1,2,5,4]
[1,1,3,5,5,2]=>[4,1,1,2,4,5]
[1,1,5,2,3,5]=>[4,3,1,1,6,3]
[1,1,5,2,5,3]=>[3,3,1,1,4,5]
[1,1,5,3,2,5]=>[3,4,1,1,6,3]
[1,1,5,3,5,2]=>[3,3,1,1,5,4]
[1,1,5,5,2,3]=>[3,4,1,1,3,6]
[1,1,5,5,3,2]=>[4,3,1,1,3,6]
[1,2,1,3,5,5]=>[1,1,2,3,5,5]
[1,2,1,5,3,5]=>[1,3,2,1,5,3]
[1,2,1,5,5,3]=>[1,3,2,1,3,5]
[1,2,3,1,5,5]=>[2,1,4,1,3,3]
[1,2,3,5,1,5]=>[4,2,6,1,1,2]
[1,2,3,5,5,1]=>[4,2,6,1,2,1]
[1,2,5,1,3,5]=>[4,1,5,2,1,4]
[1,2,5,1,5,3]=>[2,2,4,1,1,5]
[1,2,5,3,1,5]=>[3,1,5,1,2,3]
[1,2,5,3,5,1]=>[2,2,4,1,5,1]
[1,2,5,5,1,3]=>[3,1,5,1,3,2]
[1,2,5,5,3,1]=>[4,1,5,2,4,1]
[1,3,1,2,5,5]=>[1,1,3,2,4,4]
[1,3,1,5,2,5]=>[3,1,2,1,5,3]
[1,3,1,5,5,2]=>[3,1,2,1,3,5]
[1,3,2,1,5,5]=>[1,2,4,1,3,3]
[1,3,2,5,1,5]=>[2,4,6,1,1,2]
[1,3,2,5,5,1]=>[2,4,6,1,2,1]
[1,3,5,1,2,5]=>[1,4,5,2,1,4]
[1,3,5,1,5,2]=>[2,2,5,1,1,4]
[1,3,5,2,1,5]=>[1,3,5,1,2,3]
[1,3,5,2,5,1]=>[2,2,5,1,4,1]
[1,3,5,5,1,2]=>[1,3,5,1,3,2]
[1,3,5,5,2,1]=>[1,4,5,2,4,1]
[1,5,1,2,3,5]=>[1,2,5,4,1,5]
[1,5,1,2,5,3]=>[1,4,4,2,1,5]
[1,5,1,3,2,5]=>[2,1,5,4,1,5]
[1,5,1,3,5,2]=>[4,1,4,2,1,5]
[1,5,1,5,2,3]=>[2,4,2,1,1,6]
[1,5,1,5,3,2]=>[4,2,2,1,1,6]
[1,5,2,1,3,5]=>[1,1,5,3,2,5]
[1,5,2,1,5,3]=>[1,3,3,1,2,5]
[1,5,2,3,1,5]=>[2,1,3,1,4,3]
[1,5,2,3,5,1]=>[4,2,2,1,6,1]
[1,5,2,5,1,3]=>[3,1,3,1,5,2]
[1,5,2,5,3,1]=>[4,1,4,2,5,1]
[1,5,3,1,2,5]=>[1,1,4,2,3,4]
[1,5,3,1,5,2]=>[3,1,3,1,2,5]
[1,5,3,2,1,5]=>[1,2,3,1,4,3]
[1,5,3,2,5,1]=>[2,4,2,1,6,1]
[1,5,3,5,1,2]=>[1,3,3,1,5,2]
[1,5,3,5,2,1]=>[1,4,4,2,5,1]
[1,5,5,1,2,3]=>[1,2,3,1,3,4]
[1,5,5,1,3,2]=>[2,1,3,1,3,4]
[1,5,5,2,1,3]=>[1,1,4,2,4,3]
[1,5,5,2,3,1]=>[2,1,5,4,5,1]
[1,5,5,3,1,2]=>[1,1,5,3,5,2]
[1,5,5,3,2,1]=>[1,2,5,4,5,1]
[2,1,1,3,5,5]=>[4,2,2,5,4,1]
[2,1,1,5,3,5]=>[4,2,2,4,5,1]
[2,1,1,5,5,3]=>[2,2,3,5,5,1]
[2,1,3,1,5,5]=>[2,3,2,4,4,1]
[2,1,3,5,1,5]=>[3,5,2,2,3,1]
[2,1,3,5,5,1]=>[3,5,2,3,2,1]
[2,1,5,1,3,5]=>[3,3,2,2,5,1]
[2,1,5,1,5,3]=>[2,5,3,2,5,1]
[2,1,5,3,1,5]=>[2,4,2,3,4,1]
[2,1,5,3,5,1]=>[3,3,2,5,2,1]
[2,1,5,5,1,3]=>[2,4,2,4,3,1]
[2,1,5,5,3,1]=>[2,5,3,5,2,1]
[2,3,1,1,5,5]=>[1,3,3,5,5,2]
[2,3,1,5,1,5]=>[1,4,3,3,4,2]
[2,3,1,5,5,1]=>[1,4,3,4,3,2]
[2,3,5,1,1,5]=>[1,5,2,5,3,3]
[2,3,5,1,5,1]=>[1,5,2,3,5,3]
[2,3,5,5,1,1]=>[1,3,2,5,5,3]
[2,5,1,1,3,5]=>[2,4,1,4,3,2]
[2,5,1,1,5,3]=>[2,5,1,5,2,3]
[2,5,1,3,1,5]=>[4,4,1,5,2,2]
[2,5,1,3,5,1]=>[2,4,1,3,4,2]
[2,5,1,5,1,3]=>[4,4,1,2,5,2]
[2,5,1,5,3,1]=>[2,5,1,2,5,3]
[2,5,3,1,1,5]=>[4,5,1,4,2,2]
[2,5,3,1,5,1]=>[4,5,1,2,4,2]
[2,5,3,5,1,1]=>[2,3,1,4,4,2]
[2,5,5,1,1,3]=>[4,2,1,4,5,2]
[2,5,5,1,3,1]=>[4,2,1,5,4,2]
[2,5,5,3,1,1]=>[2,2,1,5,5,3]
[3,1,1,2,5,5]=>[2,2,6,4,1,4]
[3,1,1,5,2,5]=>[2,2,4,6,1,4]
[3,1,1,5,5,2]=>[2,4,5,5,1,2]
[3,1,2,1,5,5]=>[6,2,2,3,1,3]
[3,1,2,5,1,5]=>[6,2,3,2,1,3]
[3,1,2,5,5,1]=>[4,2,3,3,1,2]
[3,1,5,1,2,5]=>[3,2,2,6,1,3]
[3,1,5,1,5,2]=>[5,4,2,5,1,2]
[3,1,5,2,1,5]=>[3,2,6,2,1,3]
[3,1,5,2,5,1]=>[3,2,4,3,1,2]
[3,1,5,5,1,2]=>[3,2,3,4,1,2]
[3,1,5,5,2,1]=>[5,4,5,2,1,2]
[3,2,1,1,5,5]=>[5,2,5,3,3,1]
[3,2,1,5,1,5]=>[5,2,3,5,3,1]
[3,2,1,5,5,1]=>[3,3,5,5,2,1]
[3,2,5,1,1,5]=>[3,2,5,5,3,1]
[3,2,5,1,5,1]=>[4,3,3,4,2,1]
[3,2,5,5,1,1]=>[4,3,4,3,2,1]
[3,5,1,1,2,5]=>[3,1,3,4,2,2]
[3,5,1,1,5,2]=>[5,1,5,2,4,2]
[3,5,1,2,1,5]=>[3,1,4,3,2,2]
[3,5,1,2,5,1]=>[4,1,6,2,2,4]
[3,5,1,5,1,2]=>[4,1,2,6,2,4]
[3,5,1,5,2,1]=>[5,1,2,5,4,2]
[3,5,2,1,1,5]=>[4,1,3,3,2,2]
[3,5,2,1,5,1]=>[6,1,4,2,2,4]
[3,5,2,5,1,1]=>[6,1,2,4,2,4]
[3,5,5,1,1,2]=>[2,1,4,6,2,4]
[3,5,5,1,2,1]=>[2,1,6,4,2,4]
[3,5,5,2,1,1]=>[2,1,5,5,4,2]
[5,1,1,2,3,5]=>[5,5,4,2,1,1]
[5,1,1,2,5,3]=>[4,4,2,1,1,3]
[5,1,1,3,2,5]=>[5,5,4,1,2,1]
[5,1,1,3,5,2]=>[5,5,3,1,1,2]
[5,1,1,5,2,3]=>[2,2,1,1,3,6]
[5,1,1,5,3,2]=>[2,2,1,3,1,6]
[5,1,2,1,3,5]=>[4,6,2,4,1,1]
[5,1,2,1,5,3]=>[2,5,1,2,1,3]
[5,1,2,3,1,5]=>[2,6,1,5,2,1]
[5,1,2,3,5,1]=>[2,6,1,3,1,2]
[5,1,2,5,1,3]=>[2,3,1,1,2,5]
[5,1,2,5,3,1]=>[5,2,3,1,1,5]
[5,1,3,1,2,5]=>[4,6,2,1,4,1]
[5,1,3,1,5,2]=>[2,5,1,1,2,3]
[5,1,3,2,1,5]=>[2,6,1,2,5,1]
[5,1,3,2,5,1]=>[2,6,1,1,3,2]
[5,1,3,5,1,2]=>[2,3,1,2,1,5]
[5,1,3,5,2,1]=>[4,3,2,1,1,4]
[5,1,5,1,2,3]=>[3,1,1,3,5,6]
[5,1,5,1,3,2]=>[3,1,1,5,3,6]
[5,1,5,2,1,3]=>[4,1,3,1,4,6]
[5,1,5,2,3,1]=>[5,1,4,1,3,5]
[5,1,5,3,1,2]=>[4,1,3,4,1,6]
[5,1,5,3,2,1]=>[5,1,4,3,1,5]
[5,2,1,1,3,5]=>[6,4,2,4,1,1]
[5,2,1,1,5,3]=>[5,2,1,2,1,3]
[5,2,1,3,1,5]=>[6,2,1,5,2,1]
[5,2,1,3,5,1]=>[6,2,1,3,1,2]
[5,2,1,5,1,3]=>[3,2,1,1,2,5]
[5,2,1,5,3,1]=>[2,5,3,1,1,5]
[5,2,3,1,1,5]=>[4,5,1,2,2,1]
[5,2,3,1,5,1]=>[4,3,1,2,1,2]
[5,2,3,5,1,1]=>[3,4,1,1,2,2]
[5,2,5,1,1,3]=>[4,1,1,3,3,5]
[5,2,5,1,3,1]=>[6,1,1,4,3,3]
[5,2,5,3,1,1]=>[5,1,3,4,1,4]
[5,3,1,1,2,5]=>[6,4,2,1,4,1]
[5,3,1,1,5,2]=>[5,2,1,1,2,3]
[5,3,1,2,1,5]=>[6,2,1,2,5,1]
[5,3,1,2,5,1]=>[6,2,1,1,3,2]
[5,3,1,5,1,2]=>[3,2,1,2,1,5]
[5,3,1,5,2,1]=>[3,4,2,1,1,4]
[5,3,2,1,1,5]=>[5,4,1,2,2,1]
[5,3,2,1,5,1]=>[3,4,1,2,1,2]
[5,3,2,5,1,1]=>[4,3,1,1,2,2]
[5,3,5,1,1,2]=>[5,1,1,3,3,4]
[5,3,5,1,2,1]=>[6,1,1,3,4,3]
[5,3,5,2,1,1]=>[5,1,3,1,4,4]
[5,5,1,1,2,3]=>[1,3,1,3,5,6]
[5,5,1,1,3,2]=>[1,3,1,5,3,6]
[5,5,1,2,1,3]=>[1,4,1,3,3,5]
[5,5,1,2,3,1]=>[1,6,1,4,3,3]
[5,5,1,3,1,2]=>[1,5,1,3,3,4]
[5,5,1,3,2,1]=>[1,6,1,3,4,3]
[5,5,2,1,1,3]=>[1,4,3,1,4,6]
[5,5,2,1,3,1]=>[1,5,4,1,3,5]
[5,5,2,3,1,1]=>[1,5,3,1,4,4]
[5,5,3,1,1,2]=>[1,4,3,4,1,6]
[5,5,3,1,2,1]=>[1,5,4,3,1,5]
[5,5,3,2,1,1]=>[1,5,3,4,1,4]
[1,1,2,3,5,6]=>[1,2,1,4,5,6]
[1,1,2,3,6,5]=>[1,2,1,5,4,6]
[1,1,2,5,3,6]=>[1,4,1,2,5,6]
[1,1,2,5,6,3]=>[1,5,1,2,4,6]
[1,1,2,6,3,5]=>[1,4,1,5,2,6]
[1,1,2,6,5,3]=>[1,5,1,4,2,6]
[1,1,3,2,5,6]=>[2,1,1,4,5,6]
[1,1,3,2,6,5]=>[2,1,1,5,4,6]
[1,1,3,5,2,6]=>[4,1,1,2,5,6]
[1,1,3,5,6,2]=>[5,1,1,2,4,6]
[1,1,3,6,2,5]=>[4,1,1,5,2,6]
[1,1,3,6,5,2]=>[5,1,1,4,2,6]
[1,1,5,2,3,6]=>[3,4,1,1,5,6]
[1,1,5,2,6,3]=>[3,5,1,1,4,6]
[1,1,5,3,2,6]=>[4,3,1,1,5,6]
[1,1,5,3,6,2]=>[5,3,1,1,4,6]
[1,1,5,6,2,3]=>[4,5,1,1,3,6]
[1,1,5,6,3,2]=>[5,4,1,1,3,6]
[1,1,6,2,3,5]=>[3,4,1,5,1,6]
[1,1,6,2,5,3]=>[3,5,1,4,1,6]
[1,1,6,3,2,5]=>[4,3,1,5,1,6]
[1,1,6,3,5,2]=>[5,3,1,4,1,6]
[1,1,6,5,2,3]=>[4,5,1,3,1,6]
[1,1,6,5,3,2]=>[5,4,1,3,1,6]
[1,2,1,3,5,6]=>[1,1,2,3,5,6]
[1,2,1,3,6,5]=>[1,1,2,5,3,6]
[1,2,1,5,3,6]=>[1,3,2,1,5,6]
[1,2,1,5,6,3]=>[1,5,2,1,3,6]
[1,2,1,6,3,5]=>[1,3,2,5,1,6]
[1,2,1,6,5,3]=>[1,5,2,3,1,6]
[1,2,3,1,5,6]=>[2,1,4,1,3,5]
[1,2,3,1,6,5]=>[2,1,4,3,1,5]
[1,2,3,5,1,6]=>[4,2,6,1,1,3]
[1,2,3,5,6,1]=>[5,4,6,2,1,1]
[1,2,3,6,1,5]=>[5,3,6,1,1,2]
[1,2,3,6,5,1]=>[5,4,6,1,2,1]
[1,2,5,1,3,6]=>[3,1,5,1,2,4]
[1,2,5,1,6,3]=>[2,3,4,1,1,5]
[1,2,5,3,1,6]=>[4,1,6,2,1,3]
[1,2,5,3,6,1]=>[5,2,6,4,1,1]
[1,2,5,6,1,3]=>[5,1,6,3,1,2]
[1,2,5,6,3,1]=>[5,1,6,4,2,1]
[1,2,6,1,3,5]=>[3,1,5,2,1,4]
[1,2,6,1,5,3]=>[3,2,5,1,1,4]
[1,2,6,3,1,5]=>[4,1,6,1,2,3]
[1,2,6,3,5,1]=>[5,2,6,1,4,1]
[1,2,6,5,1,3]=>[5,1,6,1,3,2]
[1,2,6,5,3,1]=>[5,1,6,2,4,1]
[1,3,1,2,5,6]=>[1,1,3,2,4,6]
[1,3,1,2,6,5]=>[1,1,3,4,2,6]
[1,3,1,5,2,6]=>[3,1,2,1,5,6]
[1,3,1,5,6,2]=>[5,1,2,1,3,6]
[1,3,1,6,2,5]=>[3,1,2,5,1,6]
[1,3,1,6,5,2]=>[5,1,2,3,1,6]
[1,3,2,1,5,6]=>[1,2,4,1,3,5]
[1,3,2,1,6,5]=>[1,2,4,3,1,5]
[1,3,2,5,1,6]=>[2,4,6,1,1,3]
[1,3,2,5,6,1]=>[4,5,6,2,1,1]
[1,3,2,6,1,5]=>[3,5,6,1,1,2]
[1,3,2,6,5,1]=>[4,5,6,1,2,1]
[1,3,5,1,2,6]=>[1,3,5,1,2,4]
[1,3,5,1,6,2]=>[3,2,4,1,1,5]
[1,3,5,2,1,6]=>[1,4,6,2,1,3]
[1,3,5,2,6,1]=>[2,5,6,4,1,1]
[1,3,5,6,1,2]=>[1,5,6,3,1,2]
[1,3,5,6,2,1]=>[1,5,6,4,2,1]
[1,3,6,1,2,5]=>[1,3,5,2,1,4]
[1,3,6,1,5,2]=>[2,3,5,1,1,4]
[1,3,6,2,1,5]=>[1,4,6,1,2,3]
[1,3,6,2,5,1]=>[2,5,6,1,4,1]
[1,3,6,5,1,2]=>[1,5,6,1,3,2]
[1,3,6,5,2,1]=>[1,5,6,2,4,1]
[1,5,1,2,3,6]=>[1,2,3,1,4,6]
[1,5,1,2,6,3]=>[1,4,3,1,2,6]
[1,5,1,3,2,6]=>[2,1,3,1,4,6]
[1,5,1,3,6,2]=>[4,1,3,1,2,6]
[1,5,1,6,2,3]=>[3,5,2,1,1,6]
[1,5,1,6,3,2]=>[5,3,2,1,1,6]
[1,5,2,1,3,6]=>[1,1,4,2,3,5]
[1,5,2,1,6,3]=>[1,3,4,2,1,5]
[1,5,2,3,1,6]=>[2,1,6,4,1,3]
[1,5,2,3,6,1]=>[4,2,6,5,1,1]
[1,5,2,6,1,3]=>[3,1,6,5,1,2]
[1,5,2,6,3,1]=>[4,1,6,5,2,1]
[1,5,3,1,2,6]=>[1,1,5,3,2,4]
[1,5,3,1,6,2]=>[3,1,4,2,1,5]
[1,5,3,2,1,6]=>[1,2,6,4,1,3]
[1,5,3,2,6,1]=>[2,4,6,5,1,1]
[1,5,3,6,1,2]=>[1,3,6,5,1,2]
[1,5,3,6,2,1]=>[1,4,6,5,2,1]
[1,5,6,1,2,3]=>[1,2,5,3,1,4]
[1,5,6,1,3,2]=>[2,1,5,3,1,4]
[1,5,6,2,1,3]=>[1,1,6,4,2,3]
[1,5,6,2,3,1]=>[2,1,6,5,4,1]
[1,5,6,3,1,2]=>[1,1,6,5,3,2]
[1,5,6,3,2,1]=>[1,2,6,5,4,1]
[1,6,1,2,3,5]=>[1,2,3,4,1,6]
[1,6,1,2,5,3]=>[1,4,3,2,1,6]
[1,6,1,3,2,5]=>[2,1,3,4,1,6]
[1,6,1,3,5,2]=>[4,1,3,2,1,6]
[1,6,1,5,2,3]=>[2,4,3,1,1,6]
[1,6,1,5,3,2]=>[4,2,3,1,1,6]
[1,6,2,1,3,5]=>[1,1,4,3,2,5]
[1,6,2,1,5,3]=>[1,3,4,1,2,5]
[1,6,2,3,1,5]=>[2,1,6,1,4,3]
[1,6,2,3,5,1]=>[4,2,6,1,5,1]
[1,6,2,5,1,3]=>[3,1,6,1,5,2]
[1,6,2,5,3,1]=>[4,1,6,2,5,1]
[1,6,3,1,2,5]=>[1,1,5,2,3,4]
[1,6,3,1,5,2]=>[3,1,4,1,2,5]
[1,6,3,2,1,5]=>[1,2,6,1,4,3]
[1,6,3,2,5,1]=>[2,4,6,1,5,1]
[1,6,3,5,1,2]=>[1,3,6,1,5,2]
[1,6,3,5,2,1]=>[1,4,6,2,5,1]
[1,6,5,1,2,3]=>[1,2,5,1,3,4]
[1,6,5,1,3,2]=>[2,1,5,1,3,4]
[1,6,5,2,1,3]=>[1,1,6,2,4,3]
[1,6,5,2,3,1]=>[2,1,6,4,5,1]
[1,6,5,3,1,2]=>[1,1,6,3,5,2]
[1,6,5,3,2,1]=>[1,2,6,4,5,1]
[2,1,1,3,5,6]=>[5,2,4,2,6,1]
[2,1,1,3,6,5]=>[5,2,2,4,6,1]
[2,1,1,5,3,6]=>[4,2,5,2,6,1]
[2,1,1,5,6,3]=>[2,2,5,3,6,1]
[2,1,1,6,3,5]=>[4,2,2,5,6,1]
[2,1,1,6,5,3]=>[2,2,3,5,6,1]
[2,1,3,1,5,6]=>[2,3,4,2,6,1]
[2,1,3,1,6,5]=>[2,3,2,4,6,1]
[2,1,3,5,1,6]=>[3,5,2,2,4,1]
[2,1,3,5,6,1]=>[5,6,3,2,2,1]
[2,1,3,6,1,5]=>[4,6,2,2,3,1]
[2,1,3,6,5,1]=>[5,6,2,3,2,1]
[2,1,5,1,3,6]=>[4,3,2,2,6,1]
[2,1,5,1,6,3]=>[2,4,2,3,5,1]
[2,1,5,3,1,6]=>[2,5,3,2,4,1]
[2,1,5,3,6,1]=>[3,6,5,2,2,1]
[2,1,5,6,1,3]=>[2,6,4,2,3,1]
[2,1,5,6,3,1]=>[2,6,5,3,2,1]
[2,1,6,1,3,5]=>[3,4,2,2,5,1]
[2,1,6,1,5,3]=>[2,4,3,2,5,1]
[2,1,6,3,1,5]=>[2,5,2,3,4,1]
[2,1,6,3,5,1]=>[3,6,2,5,2,1]
[2,1,6,5,1,3]=>[2,6,2,4,3,1]
[2,1,6,5,3,1]=>[2,6,3,5,2,1]
[2,3,1,1,5,6]=>[1,3,5,3,6,2]
[2,3,1,1,6,5]=>[1,3,3,5,6,2]
[2,3,1,5,1,6]=>[1,4,3,3,5,2]
[2,3,1,5,6,1]=>[1,6,4,3,3,2]
[2,3,1,6,1,5]=>[1,5,3,3,4,2]
[2,3,1,6,5,1]=>[1,6,3,4,3,2]
[2,3,5,1,1,6]=>[1,4,2,4,6,3]
[2,3,5,1,6,1]=>[1,5,2,3,5,4]
[2,3,5,6,1,1]=>[1,5,2,4,4,3]
[2,3,6,1,1,5]=>[1,4,4,2,6,3]
[2,3,6,1,5,1]=>[1,5,3,2,5,4]
[2,3,6,5,1,1]=>[1,5,4,2,4,3]
[2,5,1,1,3,6]=>[5,3,1,3,6,2]
[2,5,1,1,6,3]=>[3,3,1,4,6,2]
[2,5,1,3,1,6]=>[2,4,1,4,6,3]
[2,5,1,3,6,1]=>[2,5,1,3,5,4]
[2,5,1,6,1,3]=>[4,4,1,2,5,3]
[2,5,1,6,3,1]=>[3,5,1,2,5,4]
[2,5,3,1,1,6]=>[3,4,1,3,5,2]
[2,5,3,1,6,1]=>[4,5,1,2,4,3]
[2,5,3,6,1,1]=>[4,6,1,3,3,2]
[2,5,6,1,1,3]=>[3,5,1,3,4,2]
[2,5,6,1,3,1]=>[3,6,1,4,3,2]
[2,5,6,3,1,1]=>[2,5,1,4,4,3]
[2,6,1,1,3,5]=>[5,3,3,1,6,2]
[2,6,1,1,5,3]=>[3,3,4,1,6,2]
[2,6,1,3,1,5]=>[2,4,4,1,6,3]
[2,6,1,3,5,1]=>[2,5,3,1,5,4]
[2,6,1,5,1,3]=>[4,4,2,1,5,3]
[2,6,1,5,3,1]=>[3,5,2,1,5,4]
[2,6,3,1,1,5]=>[3,4,3,1,5,2]
[2,6,3,1,5,1]=>[4,5,2,1,4,3]
[2,6,3,5,1,1]=>[4,6,3,1,3,2]
[2,6,5,1,1,3]=>[3,5,3,1,4,2]
[2,6,5,1,3,1]=>[2,5,4,1,4,3]
[2,6,5,3,1,1]=>[3,6,4,1,3,2]
[3,1,1,2,5,6]=>[2,2,4,6,1,5]
[3,1,1,2,6,5]=>[2,4,2,6,1,5]
[3,1,1,5,2,6]=>[2,5,2,6,1,4]
[3,1,1,5,6,2]=>[2,5,4,6,1,2]
[3,1,1,6,2,5]=>[2,2,5,6,1,4]
[3,1,1,6,5,2]=>[2,4,5,6,1,2]
[3,1,2,1,5,6]=>[6,2,3,2,1,5]
[3,1,2,1,6,5]=>[6,3,2,2,1,5]
[3,1,2,5,1,6]=>[6,2,2,3,1,4]
[3,1,2,5,6,1]=>[4,3,2,5,1,2]
[3,1,2,6,1,5]=>[5,2,2,4,1,3]
[3,1,2,6,5,1]=>[4,2,3,5,1,2]
[3,1,5,1,2,6]=>[3,2,2,6,1,4]
[3,1,5,1,6,2]=>[3,2,4,6,1,2]
[3,1,5,2,1,6]=>[6,5,2,2,1,3]
[3,1,5,2,6,1]=>[6,4,2,3,1,2]
[3,1,5,6,1,2]=>[5,3,2,4,1,2]
[3,1,5,6,2,1]=>[6,5,4,2,1,2]
[3,1,6,1,2,5]=>[4,2,2,5,1,3]
[3,1,6,1,5,2]=>[3,4,2,6,1,2]
[3,1,6,2,1,5]=>[6,2,5,2,1,3]
[3,1,6,2,5,1]=>[6,2,4,3,1,2]
[3,1,6,5,1,2]=>[5,2,3,4,1,2]
[3,1,6,5,2,1]=>[6,4,5,2,1,2]
[3,2,1,1,5,6]=>[5,3,2,5,4,1]
[3,2,1,1,6,5]=>[5,2,3,5,4,1]
[3,2,1,5,1,6]=>[4,4,2,6,3,1]
[3,2,1,5,6,1]=>[3,5,3,6,2,1]
[3,2,1,6,1,5]=>[4,2,4,6,3,1]
[3,2,1,6,5,1]=>[3,3,5,6,2,1]
[3,2,5,1,1,6]=>[5,4,2,4,3,1]
[3,2,5,1,6,1]=>[4,3,3,5,2,1]
[3,2,5,6,1,1]=>[6,4,3,3,2,1]
[3,2,6,1,1,5]=>[5,2,4,4,3,1]
[3,2,6,1,5,1]=>[5,3,3,4,2,1]
[3,2,6,5,1,1]=>[6,3,4,3,2,1]
[3,5,1,1,2,6]=>[3,1,3,6,2,5]
[3,5,1,1,6,2]=>[3,1,5,6,2,3]
[3,5,1,2,1,6]=>[5,1,3,5,4,2]
[3,5,1,2,6,1]=>[4,1,4,6,3,2]
[3,5,1,6,1,2]=>[4,1,2,6,3,4]
[3,5,1,6,2,1]=>[5,1,2,5,4,3]
[3,5,2,1,1,6]=>[6,1,3,3,2,4]
[3,5,2,1,6,1]=>[5,1,3,4,2,3]
[3,5,2,6,1,1]=>[6,1,2,4,3,4]
[3,5,6,1,1,2]=>[4,1,3,5,2,3]
[3,5,6,1,2,1]=>[6,1,5,3,2,3]
[3,5,6,2,1,1]=>[5,1,4,4,3,2]
[3,6,1,1,2,5]=>[3,3,1,6,2,5]
[3,6,1,1,5,2]=>[3,5,1,6,2,3]
[3,6,1,2,1,5]=>[5,3,1,5,4,2]
[3,6,1,2,5,1]=>[4,4,1,6,3,2]
[3,6,1,5,1,2]=>[4,2,1,6,3,4]
[3,6,1,5,2,1]=>[5,2,1,5,4,3]
[3,6,2,1,1,5]=>[6,3,1,3,2,4]
[3,6,2,1,5,1]=>[5,3,1,4,2,3]
[3,6,2,5,1,1]=>[6,2,1,4,3,4]
[3,6,5,1,1,2]=>[4,3,1,5,2,3]
[3,6,5,1,2,1]=>[5,4,1,4,3,2]
[3,6,5,2,1,1]=>[6,5,1,3,2,3]
[5,1,1,2,3,6]=>[5,2,1,2,4,6]
[5,1,1,2,6,3]=>[4,2,1,2,5,6]
[5,1,1,3,2,6]=>[5,2,1,4,2,6]
[5,1,1,3,6,2]=>[4,2,1,5,2,6]
[5,1,1,6,2,3]=>[2,2,1,3,5,6]
[5,1,1,6,3,2]=>[2,2,1,5,3,6]
[5,1,2,1,3,6]=>[4,3,1,2,2,6]
[5,1,2,1,6,3]=>[2,4,1,2,3,5]
[5,1,2,3,1,6]=>[2,6,1,4,2,3]
[5,1,2,3,6,1]=>[2,6,1,5,3,2]
[5,1,2,6,1,3]=>[2,5,1,3,2,4]
[5,1,2,6,3,1]=>[3,6,1,5,2,2]
[5,1,3,1,2,6]=>[3,4,1,2,2,5]
[5,1,3,1,6,2]=>[2,4,1,3,2,5]
[5,1,3,2,1,6]=>[2,6,1,2,4,3]
[5,1,3,2,6,1]=>[2,6,1,3,5,2]
[5,1,3,6,1,2]=>[2,5,1,2,3,4]
[5,1,3,6,2,1]=>[3,6,1,2,5,2]
[5,1,6,1,2,3]=>[2,3,1,2,4,6]
[5,1,6,1,3,2]=>[2,3,1,4,2,6]
[5,1,6,2,1,3]=>[3,5,1,2,2,4]
[5,1,6,2,3,1]=>[5,6,1,3,2,2]
[5,1,6,3,1,2]=>[4,6,1,2,2,3]
[5,1,6,3,2,1]=>[5,6,1,2,3,2]
[5,2,1,1,3,6]=>[5,3,2,1,3,6]
[5,2,1,1,6,3]=>[3,3,2,1,4,6]
[5,2,1,3,1,6]=>[4,4,3,1,2,5]
[5,2,1,3,6,1]=>[3,5,4,1,2,5]
[5,2,1,6,1,3]=>[2,4,3,1,4,6]
[5,2,1,6,3,1]=>[2,5,4,1,3,5]
[5,2,3,1,1,6]=>[3,5,2,1,3,4]
[5,2,3,1,6,1]=>[3,6,2,1,4,3]
[5,2,3,6,1,1]=>[2,5,3,1,4,4]
[5,2,6,1,1,3]=>[3,4,2,1,3,5]
[5,2,6,1,3,1]=>[4,5,3,1,2,4]
[5,2,6,3,1,1]=>[4,6,2,1,3,3]
[5,3,1,1,2,6]=>[5,3,2,3,1,6]
[5,3,1,1,6,2]=>[3,3,2,4,1,6]
[5,3,1,2,1,6]=>[4,4,3,2,1,5]
[5,3,1,2,6,1]=>[3,5,4,2,1,5]
[5,3,1,6,1,2]=>[2,4,3,4,1,6]
[5,3,1,6,2,1]=>[2,5,4,3,1,5]
[5,3,2,1,1,6]=>[3,5,2,3,1,4]
[5,3,2,1,6,1]=>[2,5,3,4,1,4]
[5,3,2,6,1,1]=>[3,6,2,4,1,3]
[5,3,6,1,1,2]=>[3,4,2,3,1,5]
[5,3,6,1,2,1]=>[4,5,3,2,1,4]
[5,3,6,2,1,1]=>[4,6,2,3,1,3]
[5,6,1,1,2,3]=>[1,3,2,3,5,6]
[5,6,1,1,3,2]=>[1,3,2,5,3,6]
[5,6,1,2,1,3]=>[1,4,2,3,3,5]
[5,6,1,2,3,1]=>[1,6,2,4,3,3]
[5,6,1,3,1,2]=>[1,5,2,3,3,4]
[5,6,1,3,2,1]=>[1,6,2,3,4,3]
[5,6,2,1,1,3]=>[1,4,3,2,4,6]
[5,6,2,1,3,1]=>[1,5,4,2,3,5]
[5,6,2,3,1,1]=>[1,5,3,2,4,4]
[5,6,3,1,1,2]=>[1,4,3,4,2,6]
[5,6,3,1,2,1]=>[1,5,4,3,2,5]
[5,6,3,2,1,1]=>[1,5,3,4,2,4]
[6,1,1,2,3,5]=>[2,1,2,4,6,5]
[6,1,1,2,5,3]=>[2,1,2,5,6,4]
[6,1,1,3,2,5]=>[2,1,4,2,6,5]
[6,1,1,3,5,2]=>[2,1,5,2,6,4]
[6,1,1,5,2,3]=>[2,1,5,4,6,2]
[6,1,1,5,3,2]=>[2,1,4,5,6,2]
[6,1,2,1,3,5]=>[3,1,2,2,6,4]
[6,1,2,1,5,3]=>[3,1,2,4,6,2]
[6,1,2,3,1,5]=>[5,1,3,2,4,2]
[6,1,2,3,5,1]=>[6,1,5,4,2,2]
[6,1,2,5,1,3]=>[6,1,5,2,2,3]
[6,1,2,5,3,1]=>[6,1,4,2,3,2]
[6,1,3,1,2,5]=>[4,1,2,2,5,3]
[6,1,3,1,5,2]=>[3,1,4,2,6,2]
[6,1,3,2,1,5]=>[5,1,2,3,4,2]
[6,1,3,2,5,1]=>[6,1,4,5,2,2]
[6,1,3,5,1,2]=>[6,1,2,5,2,3]
[6,1,3,5,2,1]=>[6,1,2,4,3,2]
[6,1,5,1,2,3]=>[6,1,2,3,2,5]
[6,1,5,1,3,2]=>[6,1,3,2,2,5]
[6,1,5,2,1,3]=>[6,1,2,2,3,4]
[6,1,5,2,3,1]=>[4,1,3,2,5,2]
[6,1,5,3,1,2]=>[5,1,2,2,4,3]
[6,1,5,3,2,1]=>[4,1,2,3,5,2]
[6,2,1,1,3,5]=>[3,2,1,3,6,5]
[6,2,1,1,5,3]=>[3,2,1,5,6,3]
[6,2,1,3,1,5]=>[4,3,1,2,6,4]
[6,2,1,3,5,1]=>[5,4,1,2,5,3]
[6,2,1,5,1,3]=>[5,4,1,3,5,2]
[6,2,1,5,3,1]=>[4,3,1,4,6,2]
[6,2,3,1,1,5]=>[4,2,1,3,5,3]
[6,2,3,1,5,1]=>[6,2,1,5,3,3]
[6,2,3,5,1,1]=>[5,3,1,4,4,2]
[6,2,5,1,1,3]=>[6,2,1,3,3,4]
[6,2,5,1,3,1]=>[5,2,1,3,4,3]
[6,2,5,3,1,1]=>[6,3,1,2,4,4]
[6,3,1,1,2,5]=>[3,2,3,1,6,5]
[6,3,1,1,5,2]=>[3,2,5,1,6,3]
[6,3,1,2,1,5]=>[4,3,2,1,6,4]
[6,3,1,2,5,1]=>[5,4,2,1,5,3]
[6,3,1,5,1,2]=>[5,4,3,1,5,2]
[6,3,1,5,2,1]=>[4,3,4,1,6,2]
[6,3,2,1,1,5]=>[4,2,3,1,5,3]
[6,3,2,1,5,1]=>[5,3,4,1,4,2]
[6,3,2,5,1,1]=>[6,2,5,1,3,3]
[6,3,5,1,1,2]=>[6,2,3,1,3,4]
[6,3,5,1,2,1]=>[5,2,3,1,4,3]
[6,3,5,2,1,1]=>[6,3,2,1,4,4]
[6,5,1,1,2,3]=>[5,4,3,2,5,1]
[6,5,1,1,3,2]=>[5,4,2,3,5,1]
[6,5,1,2,1,3]=>[4,3,4,2,6,1]
[6,5,1,2,3,1]=>[3,2,5,3,6,1]
[6,5,1,3,1,2]=>[4,3,2,4,6,1]
[6,5,1,3,2,1]=>[3,2,3,5,6,1]
[6,5,2,1,1,3]=>[5,3,4,2,4,1]
[6,5,2,1,3,1]=>[4,2,3,3,5,1]
[6,5,2,3,1,1]=>[6,2,4,3,3,1]
[6,5,3,1,1,2]=>[5,3,2,4,4,1]
[6,5,3,1,2,1]=>[5,2,3,3,4,1]
[6,5,3,2,1,1]=>[6,2,3,4,3,1]
[1,1,2,4,4,4]=>[1,1,2,4,4,4]
[1,1,4,2,4,4]=>[3,1,1,4,3,3]
[1,1,4,4,2,4]=>[3,1,1,3,4,3]
[1,1,4,4,4,2]=>[3,1,1,3,3,4]
[1,2,1,4,4,4]=>[1,2,1,3,3,3]
[1,2,4,1,4,4]=>[2,4,1,1,2,2]
[1,2,4,4,1,4]=>[2,4,1,2,1,2]
[1,2,4,4,4,1]=>[2,4,1,2,2,1]
[1,4,1,2,4,4]=>[1,4,2,1,4,4]
[1,4,1,4,2,4]=>[2,2,1,1,4,2]
[1,4,1,4,4,2]=>[2,2,1,1,2,4]
[1,4,2,1,4,4]=>[1,3,1,2,3,3]
[1,4,2,4,1,4]=>[2,2,1,4,1,2]
[1,4,2,4,4,1]=>[2,2,1,4,2,1]
[1,4,4,1,2,4]=>[1,4,2,4,1,4]
[1,4,4,1,4,2]=>[2,2,1,2,1,4]
[1,4,4,2,1,4]=>[1,3,1,3,2,3]
[1,4,4,2,4,1]=>[2,2,1,2,4,1]
[1,4,4,4,1,2]=>[1,3,1,3,3,2]
[1,4,4,4,2,1]=>[1,4,2,4,4,1]
[2,1,1,4,4,4]=>[2,2,4,4,4,1]
[2,1,4,1,4,4]=>[3,2,2,3,3,1]
[2,1,4,4,1,4]=>[3,2,3,2,3,1]
[2,1,4,4,4,1]=>[3,2,3,3,2,1]
[2,4,1,1,4,4]=>[5,1,5,2,2,2]
[2,4,1,4,1,4]=>[5,1,2,5,2,2]
[2,4,1,4,4,1]=>[5,1,2,2,5,2]
[2,4,4,1,1,4]=>[2,1,5,5,2,2]
[2,4,4,1,4,1]=>[2,1,5,2,5,2]
[2,4,4,4,1,1]=>[2,1,2,5,5,2]
[4,1,1,2,4,4]=>[2,2,3,1,1,1]
[4,1,1,4,2,4]=>[5,5,1,3,1,1]
[4,1,1,4,4,2]=>[3,3,1,1,1,4]
[4,1,2,1,4,4]=>[2,3,2,1,1,1]
[4,1,2,4,1,4]=>[3,6,1,1,3,1]
[4,1,2,4,4,1]=>[3,4,1,1,1,3]
[4,1,4,1,2,4]=>[5,1,5,3,1,1]
[4,1,4,1,4,2]=>[3,1,3,1,1,4]
[4,1,4,2,1,4]=>[3,1,6,1,3,1]
[4,1,4,2,4,1]=>[3,1,4,1,1,3]
[4,1,4,4,1,2]=>[4,1,1,1,4,6]
[4,1,4,4,2,1]=>[5,1,1,4,1,5]
[4,2,1,1,4,4]=>[3,2,2,1,1,1]
[4,2,1,4,1,4]=>[6,3,1,1,3,1]
[4,2,1,4,4,1]=>[4,3,1,1,1,3]
[4,2,4,1,1,4]=>[6,1,3,1,3,1]
[4,2,4,1,4,1]=>[4,1,3,1,1,3]
[4,2,4,4,1,1]=>[5,1,1,1,4,4]
[4,4,1,1,2,4]=>[1,5,5,3,1,1]
[4,4,1,1,4,2]=>[1,3,3,1,1,4]
[4,4,1,2,1,4]=>[1,3,6,1,3,1]
[4,4,1,2,4,1]=>[1,3,4,1,1,3]
[4,4,1,4,1,2]=>[1,4,1,1,4,6]
[4,4,1,4,2,1]=>[1,5,1,4,1,5]
[4,4,2,1,1,4]=>[1,6,3,1,3,1]
[4,4,2,1,4,1]=>[1,4,3,1,1,3]
[4,4,2,4,1,1]=>[1,5,1,1,4,4]
[4,4,4,1,1,2]=>[1,1,4,1,4,6]
[4,4,4,1,2,1]=>[1,1,5,1,4,4]
[4,4,4,2,1,1]=>[1,1,5,4,1,5]
[1,1,2,4,4,5]=>[1,1,2,4,4,5]
[1,1,2,4,5,4]=>[1,1,2,4,5,4]
[1,1,2,5,4,4]=>[1,1,4,2,5,5]
[1,1,4,2,4,5]=>[3,1,1,3,4,5]
[1,1,4,2,5,4]=>[4,1,1,3,6,3]
[1,1,4,4,2,5]=>[3,1,1,4,3,6]
[1,1,4,4,5,2]=>[4,1,1,3,3,6]
[1,1,4,5,2,4]=>[3,1,1,4,6,3]
[1,1,4,5,4,2]=>[3,1,1,3,5,4]
[1,1,5,2,4,4]=>[3,1,4,1,5,5]
[1,1,5,4,2,4]=>[4,1,3,1,5,4]
[1,1,5,4,4,2]=>[4,1,3,1,4,5]
[1,2,1,4,4,5]=>[1,2,1,3,3,5]
[1,2,1,4,5,4]=>[1,2,1,3,5,3]
[1,2,1,5,4,4]=>[1,2,3,1,5,5]
[1,2,4,1,4,5]=>[2,4,1,2,1,5]
[1,2,4,1,5,4]=>[4,5,2,1,1,4]
[1,2,4,4,1,5]=>[2,4,1,1,2,3]
[1,2,4,4,5,1]=>[4,5,2,1,4,1]
[1,2,4,5,1,4]=>[2,4,1,1,3,2]
[1,2,4,5,4,1]=>[2,4,1,2,5,1]
[1,2,5,1,4,4]=>[3,6,1,1,2,2]
[1,2,5,4,1,4]=>[4,6,1,2,1,2]
[1,2,5,4,4,1]=>[4,6,1,2,2,1]
[1,4,1,2,4,5]=>[1,4,2,4,1,6]
[1,4,1,2,5,4]=>[1,5,4,2,1,5]
[1,4,1,4,2,5]=>[2,2,1,4,1,6]
[1,4,1,4,5,2]=>[5,2,1,2,1,6]
[1,4,1,5,2,4]=>[2,5,4,1,1,5]
[1,4,1,5,4,2]=>[4,4,2,1,1,5]
[1,4,2,1,4,5]=>[1,3,1,3,2,6]
[1,4,2,1,5,4]=>[1,5,3,1,2,5]
[1,4,2,4,1,5]=>[2,2,1,1,4,3]
[1,4,2,4,5,1]=>[4,4,2,1,5,1]
[1,4,2,5,1,4]=>[3,2,1,1,6,2]
[1,4,2,5,4,1]=>[5,2,1,2,6,1]
[1,4,4,1,2,5]=>[1,3,1,2,3,4]
[1,4,4,1,5,2]=>[3,2,1,1,2,6]
[1,4,4,2,1,5]=>[1,4,2,1,4,3]
[1,4,4,2,5,1]=>[2,5,4,1,5,1]
[1,4,4,5,1,2]=>[1,5,3,1,5,2]
[1,4,4,5,2,1]=>[1,5,4,2,5,1]
[1,4,5,1,2,4]=>[1,4,2,1,3,4]
[1,4,5,1,4,2]=>[2,2,1,1,3,4]
[1,4,5,2,1,4]=>[1,3,1,2,4,3]
[1,4,5,2,4,1]=>[2,2,1,4,6,1]
[1,4,5,4,1,2]=>[1,3,1,3,6,2]
[1,4,5,4,2,1]=>[1,4,2,4,6,1]
[1,5,1,2,4,4]=>[1,3,2,1,4,4]
[1,5,1,4,2,4]=>[2,3,1,1,4,2]
[1,5,1,4,4,2]=>[2,3,1,1,2,4]
[1,5,2,1,4,4]=>[1,4,1,2,3,3]
[1,5,2,4,1,4]=>[2,6,1,4,1,2]
[1,5,2,4,4,1]=>[2,6,1,4,2,1]
[1,5,4,1,2,4]=>[1,5,2,4,1,4]
[1,5,4,1,4,2]=>[2,5,1,2,1,4]
[1,5,4,2,1,4]=>[1,5,1,3,2,3]
[1,5,4,2,4,1]=>[2,5,1,2,4,1]
[1,5,4,4,1,2]=>[1,5,1,3,3,2]
[1,5,4,4,2,1]=>[1,5,2,4,4,1]
[2,1,1,4,4,5]=>[2,4,2,5,5,1]
[2,1,1,4,5,4]=>[2,2,4,4,5,1]
[2,1,1,5,4,4]=>[2,2,4,5,4,1]
[2,1,4,1,4,5]=>[5,3,2,2,5,1]
[2,1,4,1,5,4]=>[3,2,3,2,6,1]
[2,1,4,4,1,5]=>[3,2,2,3,4,1]
[2,1,4,4,5,1]=>[5,3,2,5,2,1]
[2,1,4,5,1,4]=>[3,2,2,4,3,1]
[2,1,4,5,4,1]=>[3,2,3,6,2,1]
[2,1,5,1,4,4]=>[4,2,2,3,3,1]
[2,1,5,4,1,4]=>[5,2,3,2,3,1]
[2,1,5,4,4,1]=>[5,2,3,3,2,1]
[2,4,1,1,4,5]=>[5,1,2,5,2,3]
[2,4,1,1,5,4]=>[4,1,2,4,3,2]
[2,4,1,4,1,5]=>[4,1,4,2,6,2]
[2,4,1,4,5,1]=>[5,1,2,2,5,3]
[2,4,1,5,1,4]=>[4,1,4,6,2,2]
[2,4,1,5,4,1]=>[4,1,2,3,4,2]
[2,4,4,1,1,5]=>[2,1,4,4,5,2]
[2,4,4,1,5,1]=>[2,1,4,5,4,2]
[2,4,4,5,1,1]=>[2,1,2,5,5,4]
[2,4,5,1,1,4]=>[5,1,4,4,2,2]
[2,4,5,1,4,1]=>[5,1,4,2,4,2]
[2,4,5,4,1,1]=>[3,1,2,4,4,2]
[2,5,1,1,4,4]=>[3,3,1,5,5,2]
[2,5,1,4,1,4]=>[5,2,1,5,3,3]
[2,5,1,4,4,1]=>[5,2,1,3,5,3]
[2,5,4,1,1,4]=>[4,3,1,3,4,2]
[2,5,4,1,4,1]=>[4,3,1,4,3,2]
[2,5,4,4,1,1]=>[3,2,1,5,5,3]
[4,1,1,2,4,5]=>[1,5,5,3,1,2]
[4,1,1,2,5,4]=>[1,5,5,4,2,1]
[4,1,1,4,2,5]=>[3,2,2,1,1,6]
[4,1,1,4,5,2]=>[1,3,3,1,2,4]
[4,1,1,5,2,4]=>[2,5,5,4,1,1]
[4,1,1,5,4,2]=>[1,4,4,2,1,3]
[4,1,2,1,4,5]=>[1,3,6,1,3,2]
[4,1,2,1,5,4]=>[1,4,6,2,4,1]
[4,1,2,4,1,5]=>[2,2,3,1,1,4]
[4,1,2,4,5,1]=>[1,4,3,2,1,4]
[4,1,2,5,1,4]=>[2,2,6,1,4,1]
[4,1,2,5,4,1]=>[1,3,4,1,2,3]
[4,1,4,1,2,5]=>[5,3,1,1,3,6]
[4,1,4,1,5,2]=>[3,3,1,1,4,6]
[4,1,4,2,1,5]=>[4,4,1,3,1,5]
[4,1,4,2,5,1]=>[3,5,1,4,1,5]
[4,1,4,5,1,2]=>[1,4,1,2,4,6]
[4,1,4,5,2,1]=>[1,5,1,4,2,5]
[4,1,5,1,2,4]=>[4,4,5,2,1,1]
[4,1,5,1,4,2]=>[2,2,4,1,1,3]
[4,1,5,2,1,4]=>[5,2,6,1,2,1]
[4,1,5,2,4,1]=>[3,2,6,1,1,2]
[4,1,5,4,1,2]=>[1,3,2,1,3,6]
[4,1,5,4,2,1]=>[1,5,2,3,1,5]
[4,2,1,1,4,5]=>[1,6,3,1,3,2]
[4,2,1,1,5,4]=>[1,6,4,2,4,1]
[4,2,1,4,1,5]=>[2,3,2,1,1,4]
[4,2,1,4,5,1]=>[1,3,4,2,1,4]
[4,2,1,5,1,4]=>[2,6,2,1,4,1]
[4,2,1,5,4,1]=>[1,4,3,1,2,3]
[4,2,4,1,1,5]=>[3,5,1,1,3,4]
[4,2,4,1,5,1]=>[3,6,1,1,4,3]
[4,2,4,5,1,1]=>[1,5,1,2,4,4]
[4,2,5,1,1,4]=>[2,5,4,1,2,1]
[4,2,5,1,4,1]=>[2,3,4,1,1,2]
[4,2,5,4,1,1]=>[1,5,2,1,3,3]
[4,4,1,1,2,5]=>[5,1,3,1,3,6]
[4,4,1,1,5,2]=>[3,1,3,1,4,6]
[4,4,1,2,1,5]=>[3,1,5,1,3,4]
[4,4,1,2,5,1]=>[3,1,6,1,4,3]
[4,4,1,5,1,2]=>[3,1,4,1,3,5]
[4,4,1,5,2,1]=>[4,1,6,1,3,3]
[4,4,2,1,1,5]=>[4,1,4,3,1,5]
[4,4,2,1,5,1]=>[3,1,5,4,1,5]
[4,4,2,5,1,1]=>[4,1,5,3,1,4]
[4,4,5,1,1,2]=>[1,1,4,2,4,6]
[4,4,5,1,2,1]=>[1,1,5,2,4,4]
[4,4,5,2,1,1]=>[1,1,5,4,2,5]
[4,5,1,1,2,4]=>[4,5,4,2,1,1]
[4,5,1,1,4,2]=>[2,4,2,1,1,3]
[4,5,1,2,1,4]=>[2,4,5,1,2,1]
[4,5,1,2,4,1]=>[2,4,3,1,1,2]
[4,5,1,4,1,2]=>[3,4,1,1,3,5]
[4,5,1,4,2,1]=>[4,5,1,3,1,4]
[4,5,2,1,1,4]=>[5,6,2,1,2,1]
[4,5,2,1,4,1]=>[3,6,2,1,1,2]
[4,5,2,4,1,1]=>[4,6,1,1,3,3]
[4,5,4,1,1,2]=>[1,2,3,1,3,6]
[4,5,4,1,2,1]=>[1,2,5,1,3,3]
[4,5,4,2,1,1]=>[1,2,5,3,1,5]
[5,1,1,2,4,4]=>[2,5,1,4,4,2]
[5,1,1,4,2,4]=>[2,5,1,2,5,4]
[5,1,1,4,4,2]=>[2,4,1,4,6,2]
[5,1,2,1,4,4]=>[5,2,1,4,4,2]
[5,1,2,4,1,4]=>[3,4,1,2,4,2]
[5,1,2,4,4,1]=>[6,4,1,4,2,2]
[5,1,4,1,2,4]=>[5,2,1,2,5,4]
[5,1,4,1,4,2]=>[4,2,1,4,6,2]
[5,1,4,2,1,4]=>[4,3,1,2,4,2]
[5,1,4,2,4,1]=>[4,6,1,4,2,2]
[5,1,4,4,1,2]=>[5,5,1,2,2,3]
[5,1,4,4,2,1]=>[4,4,1,2,3,2]
[5,2,1,1,4,4]=>[4,4,3,1,3,2]
[5,2,1,4,1,4]=>[3,5,2,1,5,3]
[5,2,1,4,4,1]=>[5,3,3,1,5,2]
[5,2,4,1,1,4]=>[5,3,2,1,5,3]
[5,2,4,1,4,1]=>[3,5,3,1,5,2]
[5,2,4,4,1,1]=>[5,5,2,1,3,3]
[5,4,1,1,2,4]=>[5,5,3,2,2,1]
[5,4,1,1,4,2]=>[3,3,2,2,4,1]
[5,4,1,2,1,4]=>[3,6,2,3,2,1]
[5,4,1,2,4,1]=>[3,4,2,2,3,1]
[5,4,1,4,1,2]=>[5,2,4,2,5,1]
[5,4,1,4,2,1]=>[4,2,2,4,6,1]
[5,4,2,1,1,4]=>[6,3,2,3,2,1]
[5,4,2,1,4,1]=>[4,3,2,2,3,1]
[5,4,2,4,1,1]=>[5,2,2,4,4,1]
[5,4,4,1,1,2]=>[2,5,4,2,5,1]
[5,4,4,1,2,1]=>[2,4,2,4,6,1]
[5,4,4,2,1,1]=>[2,5,2,4,4,1]
[1,1,2,4,4,6]=>[1,1,2,4,4,6]
[1,1,2,4,6,4]=>[1,1,2,5,4,4]
[1,1,2,6,4,4]=>[1,1,4,5,2,5]
[1,1,4,2,4,6]=>[3,1,1,4,3,5]
[1,1,4,2,6,4]=>[4,1,1,6,3,3]
[1,1,4,4,2,6]=>[3,1,1,3,4,6]
[1,1,4,4,6,2]=>[5,1,1,3,3,6]
[1,1,4,6,2,4]=>[3,1,1,6,4,3]
[1,1,4,6,4,2]=>[3,1,1,5,3,4]
[1,1,6,2,4,4]=>[4,1,3,5,1,4]
[1,1,6,4,2,4]=>[3,1,4,5,1,5]
[1,1,6,4,4,2]=>[4,1,3,4,1,5]
[1,2,1,4,4,6]=>[1,2,1,3,3,6]
[1,2,1,4,6,4]=>[1,2,1,5,3,3]
[1,2,1,6,4,4]=>[1,2,3,5,1,5]
[1,2,4,1,4,6]=>[2,4,1,1,2,5]
[1,2,4,1,6,4]=>[4,5,3,1,1,4]
[1,2,4,4,1,6]=>[2,4,1,2,1,3]
[1,2,4,4,6,1]=>[4,5,2,4,1,1]
[1,2,4,6,1,4]=>[2,4,1,3,1,2]
[1,2,4,6,4,1]=>[2,4,1,5,2,1]
[1,2,6,1,4,4]=>[4,6,1,1,2,2]
[1,2,6,4,1,4]=>[3,6,1,2,1,2]
[1,2,6,4,4,1]=>[5,6,1,2,2,1]
[1,4,1,2,4,6]=>[1,4,2,1,4,6]
[1,4,1,2,6,4]=>[1,5,4,1,2,5]
[1,4,1,4,2,6]=>[2,2,1,1,4,6]
[1,4,1,4,6,2]=>[5,2,1,1,2,6]
[1,4,1,6,2,4]=>[3,5,4,1,1,5]
[1,4,1,6,4,2]=>[4,4,3,1,1,5]
[1,4,2,1,4,6]=>[1,3,1,2,3,6]
[1,4,2,1,6,4]=>[1,5,3,2,1,5]
[1,4,2,4,1,6]=>[2,2,1,4,1,3]
[1,4,2,4,6,1]=>[4,4,2,5,1,1]
[1,4,2,6,1,4]=>[3,2,1,6,1,2]
[1,4,2,6,4,1]=>[5,2,1,6,2,1]
[1,4,4,1,2,6]=>[1,3,1,3,2,4]
[1,4,4,1,6,2]=>[3,2,1,2,1,6]
[1,4,4,2,1,6]=>[1,4,2,4,1,3]
[1,4,4,2,6,1]=>[2,5,4,5,1,1]
[1,4,4,6,1,2]=>[1,5,3,5,1,2]
[1,4,4,6,2,1]=>[1,5,4,5,2,1]
[1,4,6,1,2,4]=>[1,4,2,3,1,4]
[1,4,6,1,4,2]=>[2,2,1,3,1,4]
[1,4,6,2,1,4]=>[1,3,1,4,2,3]
[1,4,6,2,4,1]=>[2,2,1,6,4,1]
[1,4,6,4,1,2]=>[1,3,1,6,3,2]
[1,4,6,4,2,1]=>[1,4,2,6,4,1]
[1,6,1,2,4,4]=>[1,5,2,1,4,4]
[1,6,1,4,2,4]=>[2,6,1,1,4,2]
[1,6,1,4,4,2]=>[2,5,1,1,2,4]
[1,6,2,1,4,4]=>[1,5,1,2,3,3]
[1,6,2,4,1,4]=>[2,3,1,4,1,2]
[1,6,2,4,4,1]=>[2,5,1,4,2,1]
[1,6,4,1,2,4]=>[1,3,2,4,1,4]
[1,6,4,1,4,2]=>[2,3,1,2,1,4]
[1,6,4,2,1,4]=>[1,4,1,3,2,3]
[1,6,4,2,4,1]=>[2,6,1,2,4,1]
[1,6,4,4,1,2]=>[1,6,1,3,3,2]
[1,6,4,4,2,1]=>[1,6,2,4,4,1]
[2,1,1,4,4,6]=>[2,4,5,2,5,1]
[2,1,1,4,6,4]=>[2,2,4,4,6,1]
[2,1,1,6,4,4]=>[2,2,5,4,4,1]
[2,1,4,1,4,6]=>[5,4,2,2,5,1]
[2,1,4,1,6,4]=>[3,2,2,3,6,1]
[2,1,4,4,1,6]=>[3,2,3,2,4,1]
[2,1,4,4,6,1]=>[5,3,5,2,2,1]
[2,1,4,6,1,4]=>[3,2,4,2,3,1]
[2,1,4,6,4,1]=>[3,2,6,3,2,1]
[2,1,6,1,4,4]=>[5,2,2,3,3,1]
[2,1,6,4,1,4]=>[4,2,3,2,3,1]
[2,1,6,4,4,1]=>[6,2,3,3,2,1]
[2,4,1,1,4,6]=>[5,1,5,2,2,3]
[2,4,1,1,6,4]=>[4,1,4,2,3,2]
[2,4,1,4,1,6]=>[4,1,2,4,6,2]
[2,4,1,4,6,1]=>[5,1,2,2,5,4]
[2,4,1,6,1,4]=>[4,1,6,4,2,2]
[2,4,1,6,4,1]=>[4,1,3,2,4,2]
[2,4,4,1,1,6]=>[2,1,4,4,6,2]
[2,4,4,1,6,1]=>[2,1,5,4,4,2]
[2,4,4,6,1,1]=>[2,1,5,2,5,4]
[2,4,6,1,1,4]=>[6,1,4,4,2,2]
[2,4,6,1,4,1]=>[3,1,4,2,4,2]
[2,4,6,4,1,1]=>[5,1,2,4,4,2]
[2,6,1,1,4,4]=>[5,2,5,1,3,3]
[2,6,1,4,1,4]=>[3,3,5,1,5,2]
[2,6,1,4,4,1]=>[5,2,3,1,5,3]
[2,6,4,1,1,4]=>[4,3,3,1,4,2]
[2,6,4,1,4,1]=>[3,2,5,1,5,3]
[2,6,4,4,1,1]=>[4,3,4,1,3,2]
[4,1,1,2,4,6]=>[5,1,5,3,1,2]
[4,1,1,2,6,4]=>[5,1,5,4,2,1]
[4,1,1,4,2,6]=>[2,3,2,1,1,6]
[4,1,1,4,6,2]=>[3,1,3,1,2,4]
[4,1,1,6,2,4]=>[5,2,5,4,1,1]
[4,1,1,6,4,2]=>[4,1,4,2,1,3]
[4,1,2,1,4,6]=>[3,1,6,1,3,2]
[4,1,2,1,6,4]=>[4,1,6,2,4,1]
[4,1,2,4,1,6]=>[2,2,3,1,1,5]
[4,1,2,4,6,1]=>[4,1,3,2,1,4]
[4,1,2,6,1,4]=>[2,2,6,1,5,1]
[4,1,2,6,4,1]=>[3,1,4,1,2,3]
[4,1,4,1,2,6]=>[3,5,1,1,3,6]
[4,1,4,1,6,2]=>[3,3,1,1,5,6]
[4,1,4,2,1,6]=>[4,4,1,3,1,6]
[4,1,4,2,6,1]=>[5,3,1,4,1,5]
[4,1,4,6,1,2]=>[4,1,1,2,4,6]
[4,1,4,6,2,1]=>[5,1,1,4,2,5]
[4,1,6,1,2,4]=>[4,4,6,2,1,1]
[4,1,6,1,4,2]=>[2,2,5,1,1,3]
[4,1,6,2,1,4]=>[2,5,6,1,2,1]
[4,1,6,2,4,1]=>[2,3,6,1,1,2]
[4,1,6,4,1,2]=>[3,1,2,1,3,6]
[4,1,6,4,2,1]=>[5,1,2,3,1,5]
[4,2,1,1,4,6]=>[6,1,3,1,3,2]
[4,2,1,1,6,4]=>[6,1,4,2,4,1]
[4,2,1,4,1,6]=>[3,2,2,1,1,4]
[4,2,1,4,6,1]=>[3,1,4,2,1,4]
[4,2,1,6,1,4]=>[6,2,2,1,4,1]
[4,2,1,6,4,1]=>[4,1,3,1,2,3]
[4,2,4,1,1,6]=>[5,3,1,1,3,4]
[4,2,4,1,6,1]=>[6,3,1,1,4,3]
[4,2,4,6,1,1]=>[5,1,1,2,4,4]
[4,2,6,1,1,4]=>[5,2,4,1,2,1]
[4,2,6,1,4,1]=>[3,2,4,1,1,2]
[4,2,6,4,1,1]=>[5,1,2,1,3,3]
[4,4,1,1,2,6]=>[1,5,3,1,3,6]
[4,4,1,1,6,2]=>[1,3,3,1,4,6]
[4,4,1,2,1,6]=>[1,3,5,1,3,4]
[4,4,1,2,6,1]=>[1,3,6,1,4,3]
[4,4,1,6,1,2]=>[1,3,4,1,3,5]
[4,4,1,6,2,1]=>[1,4,6,1,3,3]
[4,4,2,1,1,6]=>[1,4,4,3,1,5]
[4,4,2,1,6,1]=>[1,3,5,4,1,5]
[4,4,2,6,1,1]=>[1,4,5,3,1,4]
[4,4,6,1,1,2]=>[1,1,4,3,4,6]
[4,4,6,1,2,1]=>[1,1,5,3,4,4]
[4,4,6,2,1,1]=>[1,1,5,4,3,5]
[4,6,1,1,2,4]=>[5,4,4,2,1,1]
[4,6,1,1,4,2]=>[4,2,2,1,1,3]
[4,6,1,2,1,4]=>[4,2,5,1,2,1]
[4,6,1,2,4,1]=>[4,2,3,1,1,2]
[4,6,1,4,1,2]=>[4,3,1,1,3,5]
[4,6,1,4,2,1]=>[5,4,1,3,1,4]
[4,6,2,1,1,4]=>[6,5,2,1,2,1]
[4,6,2,1,4,1]=>[6,3,2,1,1,2]
[4,6,2,4,1,1]=>[6,4,1,1,3,3]
[4,6,4,1,1,2]=>[2,1,3,1,3,6]
[4,6,4,1,2,1]=>[2,1,5,1,3,3]
[4,6,4,2,1,1]=>[2,1,5,3,1,5]
[6,1,1,2,4,4]=>[2,1,2,5,4,5]
[6,1,1,4,2,4]=>[2,1,4,5,2,4]
[6,1,1,4,4,2]=>[2,1,4,4,2,5]
[6,1,2,1,4,4]=>[3,1,2,4,2,4]
[6,1,2,4,1,4]=>[5,1,4,2,2,4]
[6,1,2,4,4,1]=>[5,1,3,3,2,2]
[6,1,4,1,2,4]=>[5,1,2,2,3,5]
[6,1,4,1,4,2]=>[4,1,4,2,2,6]
[6,1,4,2,1,4]=>[4,1,2,3,2,4]
[6,1,4,2,4,1]=>[3,1,3,6,2,2]
[6,1,4,4,1,2]=>[4,1,2,4,2,3]
[6,1,4,4,2,1]=>[5,1,2,5,3,2]
[6,2,1,1,4,4]=>[3,2,1,5,3,5]
[6,2,1,4,1,4]=>[4,3,1,4,2,3]
[6,2,1,4,4,1]=>[4,3,1,3,2,4]
[6,2,4,1,1,4]=>[5,2,1,3,3,5]
[6,2,4,1,4,1]=>[4,2,1,4,3,3]
[6,2,4,4,1,1]=>[3,3,1,5,2,5]
[6,4,1,1,2,4]=>[5,3,2,5,1,2]
[6,4,1,1,4,2]=>[3,2,2,3,1,4]
[6,4,1,2,1,4]=>[3,2,3,6,1,2]
[6,4,1,2,4,1]=>[3,2,2,4,1,3]
[6,4,1,4,1,2]=>[3,2,3,2,1,6]
[6,4,1,4,2,1]=>[5,3,2,2,1,5]
[6,4,2,1,1,4]=>[5,2,3,3,1,2]
[6,4,2,1,4,1]=>[5,2,3,2,1,3]
[6,4,2,4,1,1]=>[4,2,2,3,1,3]
[6,4,4,1,1,2]=>[2,2,4,4,1,5]
[6,4,4,1,2,1]=>[2,4,2,5,1,5]
[6,4,4,2,1,1]=>[2,2,4,5,1,4]
[1,1,2,4,5,5]=>[1,1,2,4,5,5]
[1,1,2,5,4,5]=>[1,1,4,2,5,4]
[1,1,2,5,5,4]=>[1,1,4,2,4,5]
[1,1,4,2,5,5]=>[3,1,1,4,5,5]
[1,1,4,5,2,5]=>[4,1,1,3,5,4]
[1,1,4,5,5,2]=>[4,1,1,3,4,5]
[1,1,5,2,4,5]=>[4,1,3,1,6,3]
[1,1,5,2,5,4]=>[3,1,3,1,4,5]
[1,1,5,4,2,5]=>[3,1,4,1,6,3]
[1,1,5,4,5,2]=>[3,1,3,1,5,4]
[1,1,5,5,2,4]=>[3,1,4,1,3,6]
[1,1,5,5,4,2]=>[4,1,3,1,3,6]
[1,2,1,4,5,5]=>[1,2,1,3,5,5]
[1,2,1,5,4,5]=>[1,2,3,1,5,3]
[1,2,1,5,5,4]=>[1,2,3,1,3,5]
[1,2,4,1,5,5]=>[2,4,1,1,3,3]
[1,2,4,5,1,5]=>[4,6,2,1,1,2]
[1,2,4,5,5,1]=>[4,6,2,1,2,1]
[1,2,5,1,4,5]=>[4,5,1,2,1,4]
[1,2,5,1,5,4]=>[2,4,2,1,1,5]
[1,2,5,4,1,5]=>[3,5,1,1,2,3]
[1,2,5,4,5,1]=>[2,4,2,1,5,1]
[1,2,5,5,1,4]=>[3,5,1,1,3,2]
[1,2,5,5,4,1]=>[4,5,1,2,4,1]
[1,4,1,2,5,5]=>[1,3,1,2,4,4]
[1,4,1,5,2,5]=>[3,2,1,1,5,3]
[1,4,1,5,5,2]=>[3,2,1,1,3,5]
[1,4,2,1,5,5]=>[1,4,2,1,3,3]
[1,4,2,5,1,5]=>[2,6,4,1,1,2]
[1,4,2,5,5,1]=>[2,6,4,1,2,1]
[1,4,5,1,2,5]=>[1,5,4,2,1,4]
[1,4,5,1,5,2]=>[2,5,2,1,1,4]
[1,4,5,2,1,5]=>[1,5,3,1,2,3]
[1,4,5,2,5,1]=>[2,5,2,1,4,1]
[1,4,5,5,1,2]=>[1,5,3,1,3,2]
[1,4,5,5,2,1]=>[1,5,4,2,4,1]
[1,5,1,2,4,5]=>[1,5,2,4,1,5]
[1,5,1,2,5,4]=>[1,4,4,2,1,6]
[1,5,1,4,2,5]=>[2,5,1,4,1,5]
[1,5,1,4,5,2]=>[4,4,1,2,1,5]
[1,5,1,5,2,4]=>[2,2,4,1,1,6]
[1,5,1,5,4,2]=>[5,2,2,1,1,6]
[1,5,2,1,4,5]=>[1,5,1,3,2,5]
[1,5,2,1,5,4]=>[1,3,3,1,2,6]
[1,5,2,4,1,5]=>[2,3,1,1,4,3]
[1,5,2,4,5,1]=>[5,2,2,1,6,1]
[1,5,2,5,1,4]=>[3,3,1,1,5,2]
[1,5,2,5,4,1]=>[4,4,1,2,5,1]
[1,5,4,1,2,5]=>[1,4,1,2,3,4]
[1,5,4,1,5,2]=>[3,3,1,1,2,5]
[1,5,4,2,1,5]=>[1,3,2,1,4,3]
[1,5,4,2,5,1]=>[2,2,4,1,6,1]
[1,5,4,5,1,2]=>[1,3,3,1,6,2]
[1,5,4,5,2,1]=>[1,4,4,2,6,1]
[1,5,5,1,2,4]=>[1,3,2,1,3,4]
[1,5,5,1,4,2]=>[2,3,1,1,3,4]
[1,5,5,2,1,4]=>[1,4,1,2,4,3]
[1,5,5,2,4,1]=>[2,5,1,4,5,1]
[1,5,5,4,1,2]=>[1,5,1,3,5,2]
[1,5,5,4,2,1]=>[1,5,2,4,5,1]
[2,1,1,4,5,5]=>[2,4,2,5,4,1]
[2,1,1,5,4,5]=>[2,4,2,4,5,1]
[2,1,1,5,5,4]=>[2,2,4,5,5,1]
[2,1,4,1,5,5]=>[3,2,2,4,4,1]
[2,1,4,5,1,5]=>[5,3,2,2,3,1]
[2,1,4,5,5,1]=>[5,3,2,3,2,1]
[2,1,5,1,4,5]=>[3,3,2,2,6,1]
[2,1,5,1,5,4]=>[5,2,3,2,5,1]
[2,1,5,4,1,5]=>[4,2,2,3,4,1]
[2,1,5,4,5,1]=>[3,3,2,6,2,1]
[2,1,5,5,1,4]=>[4,2,2,4,3,1]
[2,1,5,5,4,1]=>[5,2,3,5,2,1]
[2,4,1,1,5,5]=>[3,1,3,5,5,2]
[2,4,1,5,1,5]=>[5,1,2,5,3,3]
[2,4,1,5,5,1]=>[5,1,2,3,5,3]
[2,4,5,1,1,5]=>[4,1,3,3,4,2]
[2,4,5,1,5,1]=>[4,1,3,4,3,2]
[2,4,5,5,1,1]=>[3,1,2,5,5,3]
[2,5,1,1,4,5]=>[4,2,1,4,3,2]
[2,5,1,1,5,4]=>[5,2,1,5,2,3]
[2,5,1,4,1,5]=>[4,4,1,6,2,2]
[2,5,1,4,5,1]=>[4,2,1,3,4,2]
[2,5,1,5,1,4]=>[4,4,1,2,6,2]
[2,5,1,5,4,1]=>[5,2,1,2,5,3]
[2,5,4,1,1,5]=>[5,4,1,4,2,2]
[2,5,4,1,5,1]=>[5,4,1,2,4,2]
[2,5,4,5,1,1]=>[3,2,1,4,4,2]
[2,5,5,1,1,4]=>[2,4,1,4,5,2]
[2,5,5,1,4,1]=>[2,4,1,5,4,2]
[2,5,5,4,1,1]=>[2,2,1,5,5,4]
[4,1,1,2,5,5]=>[2,2,5,1,3,3]
[4,1,1,5,2,5]=>[4,2,5,1,2,5]
[4,1,1,5,5,2]=>[2,2,3,1,3,6]
[4,1,2,1,5,5]=>[2,5,2,1,3,3]
[4,1,2,5,1,5]=>[2,4,3,1,2,3]
[4,1,2,5,5,1]=>[2,6,3,1,3,2]
[4,1,5,1,2,5]=>[4,5,2,1,2,5]
[4,1,5,1,5,2]=>[2,3,2,1,3,6]
[4,1,5,2,1,5]=>[2,3,4,1,2,3]
[4,1,5,2,5,1]=>[2,3,6,1,3,2]
[4,1,5,5,1,2]=>[2,3,3,1,2,4]
[4,1,5,5,2,1]=>[3,5,5,1,2,2]
[4,2,1,1,5,5]=>[2,4,4,3,1,3]
[4,2,1,5,1,5]=>[3,3,4,2,1,4]
[4,2,1,5,5,1]=>[2,5,3,3,1,5]
[4,2,5,1,1,5]=>[3,4,3,2,1,4]
[4,2,5,1,5,1]=>[2,3,5,3,1,5]
[4,2,5,5,1,1]=>[3,4,4,2,1,3]
[4,5,1,1,2,5]=>[1,5,5,3,2,2]
[4,5,1,1,5,2]=>[1,3,3,2,2,4]
[4,5,1,2,1,5]=>[1,3,6,2,3,2]
[4,5,1,2,5,1]=>[1,3,4,2,2,3]
[4,5,1,5,1,2]=>[1,4,2,2,4,6]
[4,5,1,5,2,1]=>[1,5,2,4,2,5]
[4,5,2,1,1,5]=>[1,6,3,2,3,2]
[4,5,2,1,5,1]=>[1,4,3,2,2,3]
[4,5,2,5,1,1]=>[1,5,2,2,4,4]
[4,5,5,1,1,2]=>[1,2,4,2,4,6]
[4,5,5,1,2,1]=>[1,2,5,2,4,4]
[4,5,5,2,1,1]=>[1,2,5,4,2,5]
[5,1,1,2,4,5]=>[5,5,4,3,1,1]
[5,1,1,2,5,4]=>[4,4,2,1,3,1]
[5,1,1,4,2,5]=>[5,5,3,1,2,1]
[5,1,1,4,5,2]=>[5,5,4,1,1,2]
[5,1,1,5,2,4]=>[2,2,1,1,6,3]
[5,1,1,5,4,2]=>[2,2,1,3,6,1]
[5,1,2,1,4,5]=>[4,6,3,4,1,1]
[5,1,2,1,5,4]=>[2,5,1,2,3,1]
[5,1,2,4,1,5]=>[2,6,1,3,2,1]
[5,1,2,4,5,1]=>[2,6,1,5,1,2]
[5,1,2,5,1,4]=>[2,3,1,1,5,2]
[5,1,2,5,4,1]=>[5,2,3,1,5,1]
[5,1,4,1,2,5]=>[4,3,2,1,4,1]
[5,1,4,1,5,2]=>[2,6,1,1,2,3]
[5,1,4,2,1,5]=>[2,3,1,2,5,1]
[5,1,4,2,5,1]=>[2,5,1,1,3,2]
[5,1,4,5,1,2]=>[2,6,1,2,1,5]
[5,1,4,5,2,1]=>[4,6,2,1,1,4]
[5,1,5,1,2,4]=>[3,1,1,3,6,5]
[5,1,5,1,4,2]=>[3,1,1,5,6,3]
[5,1,5,2,1,4]=>[4,1,3,1,6,4]
[5,1,5,2,4,1]=>[5,1,4,1,5,3]
[5,1,5,4,1,2]=>[5,1,4,3,5,1]
[5,1,5,4,2,1]=>[4,1,3,4,6,1]
[5,2,1,1,4,5]=>[6,4,3,4,1,1]
[5,2,1,1,5,4]=>[5,2,1,2,3,1]
[5,2,1,4,1,5]=>[6,2,1,3,2,1]
[5,2,1,4,5,1]=>[6,2,1,5,1,2]
[5,2,1,5,1,4]=>[3,2,1,1,5,2]
[5,2,1,5,4,1]=>[2,5,3,1,5,1]
[5,2,4,1,1,5]=>[4,3,1,2,2,1]
[5,2,4,1,5,1]=>[4,5,1,2,1,2]
[5,2,4,5,1,1]=>[3,5,1,1,2,2]
[5,2,5,1,1,4]=>[4,1,1,3,5,3]
[5,2,5,1,4,1]=>[6,1,1,5,3,3]
[5,2,5,4,1,1]=>[5,1,3,4,4,1]
[5,4,1,1,2,5]=>[3,4,2,1,4,1]
[5,4,1,1,5,2]=>[6,2,1,1,2,3]
[5,4,1,2,1,5]=>[3,2,1,2,5,1]
[5,4,1,2,5,1]=>[5,2,1,1,3,2]
[5,4,1,5,1,2]=>[6,2,1,2,1,5]
[5,4,1,5,2,1]=>[6,4,2,1,1,4]
[5,4,2,1,1,5]=>[3,4,1,2,2,1]
[5,4,2,1,5,1]=>[5,4,1,2,1,2]
[5,4,2,5,1,1]=>[5,3,1,1,2,2]
[5,4,5,1,1,2]=>[6,1,1,3,3,4]
[5,4,5,1,2,1]=>[5,1,1,3,4,3]
[5,4,5,2,1,1]=>[6,1,3,1,4,4]
[5,5,1,1,2,4]=>[1,3,1,3,6,5]
[5,5,1,1,4,2]=>[1,3,1,5,6,3]
[5,5,1,2,1,4]=>[1,4,1,3,5,3]
[5,5,1,2,4,1]=>[1,6,1,5,3,3]
[5,5,1,4,1,2]=>[1,6,1,3,3,4]
[5,5,1,4,2,1]=>[1,5,1,3,4,3]
[5,5,2,1,1,4]=>[1,4,3,1,6,4]
[5,5,2,1,4,1]=>[1,5,4,1,5,3]
[5,5,2,4,1,1]=>[1,6,3,1,4,4]
[5,5,4,1,1,2]=>[1,5,4,3,5,1]
[5,5,4,1,2,1]=>[1,4,3,4,6,1]
[5,5,4,2,1,1]=>[1,5,3,4,4,1]
[1,1,2,4,5,6]=>[1,1,2,4,5,6]
[1,1,2,4,6,5]=>[1,1,2,5,4,6]
[1,1,2,5,4,6]=>[1,1,4,2,5,6]
[1,1,2,5,6,4]=>[1,1,5,2,4,6]
[1,1,2,6,4,5]=>[1,1,4,5,2,6]
[1,1,2,6,5,4]=>[1,1,5,4,2,6]
[1,1,4,2,5,6]=>[3,1,1,4,5,6]
[1,1,4,2,6,5]=>[3,1,1,5,4,6]
[1,1,4,5,2,6]=>[4,1,1,3,5,6]
[1,1,4,5,6,2]=>[5,1,1,3,4,6]
[1,1,4,6,2,5]=>[4,1,1,5,3,6]
[1,1,4,6,5,2]=>[5,1,1,4,3,6]
[1,1,5,2,4,6]=>[3,1,4,1,5,6]
[1,1,5,2,6,4]=>[3,1,5,1,4,6]
[1,1,5,4,2,6]=>[4,1,3,1,5,6]
[1,1,5,4,6,2]=>[5,1,3,1,4,6]
[1,1,5,6,2,4]=>[4,1,5,1,3,6]
[1,1,5,6,4,2]=>[5,1,4,1,3,6]
[1,1,6,2,4,5]=>[3,1,4,5,1,6]
[1,1,6,2,5,4]=>[3,1,5,4,1,6]
[1,1,6,4,2,5]=>[4,1,3,5,1,6]
[1,1,6,4,5,2]=>[5,1,3,4,1,6]
[1,1,6,5,2,4]=>[4,1,5,3,1,6]
[1,1,6,5,4,2]=>[5,1,4,3,1,6]
[1,2,1,4,5,6]=>[1,2,1,3,5,6]
[1,2,1,4,6,5]=>[1,2,1,5,3,6]
[1,2,1,5,4,6]=>[1,2,3,1,5,6]
[1,2,1,5,6,4]=>[1,2,5,1,3,6]
[1,2,1,6,4,5]=>[1,2,3,5,1,6]
[1,2,1,6,5,4]=>[1,2,5,3,1,6]
[1,2,4,1,5,6]=>[2,4,1,1,3,5]
[1,2,4,1,6,5]=>[2,4,1,3,1,5]
[1,2,4,5,1,6]=>[4,6,2,1,1,3]
[1,2,4,5,6,1]=>[5,6,4,2,1,1]
[1,2,4,6,1,5]=>[5,6,3,1,1,2]
[1,2,4,6,5,1]=>[5,6,4,1,2,1]
[1,2,5,1,4,6]=>[3,5,1,1,2,4]
[1,2,5,1,6,4]=>[2,4,3,1,1,5]
[1,2,5,4,1,6]=>[4,6,1,2,1,3]
[1,2,5,4,6,1]=>[5,6,2,4,1,1]
[1,2,5,6,1,4]=>[5,6,1,3,1,2]
[1,2,5,6,4,1]=>[5,6,1,4,2,1]
[1,2,6,1,4,5]=>[3,5,1,2,1,4]
[1,2,6,1,5,4]=>[3,5,2,1,1,4]
[1,2,6,4,1,5]=>[4,6,1,1,2,3]
[1,2,6,4,5,1]=>[5,6,2,1,4,1]
[1,2,6,5,1,4]=>[5,6,1,1,3,2]
[1,2,6,5,4,1]=>[5,6,1,2,4,1]
[1,4,1,2,5,6]=>[1,3,1,2,4,6]
[1,4,1,2,6,5]=>[1,3,1,4,2,6]
[1,4,1,5,2,6]=>[3,2,1,1,5,6]
[1,4,1,5,6,2]=>[5,2,1,1,3,6]
[1,4,1,6,2,5]=>[3,2,1,5,1,6]
[1,4,1,6,5,2]=>[5,2,1,3,1,6]
[1,4,2,1,5,6]=>[1,4,2,1,3,5]
[1,4,2,1,6,5]=>[1,4,2,3,1,5]
[1,4,2,5,1,6]=>[2,6,4,1,1,3]
[1,4,2,5,6,1]=>[4,6,5,2,1,1]
[1,4,2,6,1,5]=>[3,6,5,1,1,2]
[1,4,2,6,5,1]=>[4,6,5,1,2,1]
[1,4,5,1,2,6]=>[1,5,3,1,2,4]
[1,4,5,1,6,2]=>[3,4,2,1,1,5]
[1,4,5,2,1,6]=>[1,6,4,2,1,3]
[1,4,5,2,6,1]=>[2,6,5,4,1,1]
[1,4,5,6,1,2]=>[1,6,5,3,1,2]
[1,4,5,6,2,1]=>[1,6,5,4,2,1]
[1,4,6,1,2,5]=>[1,5,3,2,1,4]
[1,4,6,1,5,2]=>[2,5,3,1,1,4]
[1,4,6,2,1,5]=>[1,6,4,1,2,3]
[1,4,6,2,5,1]=>[2,6,5,1,4,1]
[1,4,6,5,1,2]=>[1,6,5,1,3,2]
[1,4,6,5,2,1]=>[1,6,5,2,4,1]
[1,5,1,2,4,6]=>[1,3,2,1,4,6]
[1,5,1,2,6,4]=>[1,3,4,1,2,6]
[1,5,1,4,2,6]=>[2,3,1,1,4,6]
[1,5,1,4,6,2]=>[4,3,1,1,2,6]
[1,5,1,6,2,4]=>[3,2,5,1,1,6]
[1,5,1,6,4,2]=>[5,2,3,1,1,6]
[1,5,2,1,4,6]=>[1,4,1,2,3,5]
[1,5,2,1,6,4]=>[1,4,3,2,1,5]
[1,5,2,4,1,6]=>[2,6,1,4,1,3]
[1,5,2,4,6,1]=>[4,6,2,5,1,1]
[1,5,2,6,1,4]=>[3,6,1,5,1,2]
[1,5,2,6,4,1]=>[4,6,1,5,2,1]
[1,5,4,1,2,6]=>[1,5,1,3,2,4]
[1,5,4,1,6,2]=>[3,4,1,2,1,5]
[1,5,4,2,1,6]=>[1,6,2,4,1,3]
[1,5,4,2,6,1]=>[2,6,4,5,1,1]
[1,5,4,6,1,2]=>[1,6,3,5,1,2]
[1,5,4,6,2,1]=>[1,6,4,5,2,1]
[1,5,6,1,2,4]=>[1,5,2,3,1,4]
[1,5,6,1,4,2]=>[2,5,1,3,1,4]
[1,5,6,2,1,4]=>[1,6,1,4,2,3]
[1,5,6,2,4,1]=>[2,6,1,5,4,1]
[1,5,6,4,1,2]=>[1,6,1,5,3,2]
[1,5,6,4,2,1]=>[1,6,2,5,4,1]
[1,6,1,2,4,5]=>[1,3,2,4,1,6]
[1,6,1,2,5,4]=>[1,3,4,2,1,6]
[1,6,1,4,2,5]=>[2,3,1,4,1,6]
[1,6,1,4,5,2]=>[4,3,1,2,1,6]
[1,6,1,5,2,4]=>[2,3,4,1,1,6]
[1,6,1,5,4,2]=>[4,3,2,1,1,6]
[1,6,2,1,4,5]=>[1,4,1,3,2,5]
[1,6,2,1,5,4]=>[1,4,3,1,2,5]
[1,6,2,4,1,5]=>[2,6,1,1,4,3]
[1,6,2,4,5,1]=>[4,6,2,1,5,1]
[1,6,2,5,1,4]=>[3,6,1,1,5,2]
[1,6,2,5,4,1]=>[4,6,1,2,5,1]
[1,6,4,1,2,5]=>[1,5,1,2,3,4]
[1,6,4,1,5,2]=>[3,4,1,1,2,5]
[1,6,4,2,1,5]=>[1,6,2,1,4,3]
[1,6,4,2,5,1]=>[2,6,4,1,5,1]
[1,6,4,5,1,2]=>[1,6,3,1,5,2]
[1,6,4,5,2,1]=>[1,6,4,2,5,1]
[1,6,5,1,2,4]=>[1,5,2,1,3,4]
[1,6,5,1,4,2]=>[2,5,1,1,3,4]
[1,6,5,2,1,4]=>[1,6,1,2,4,3]
[1,6,5,2,4,1]=>[2,6,1,4,5,1]
[1,6,5,4,1,2]=>[1,6,1,3,5,2]
[1,6,5,4,2,1]=>[1,6,2,4,5,1]
[2,1,1,4,5,6]=>[2,5,4,2,6,1]
[2,1,1,4,6,5]=>[2,5,2,4,6,1]
[2,1,1,5,4,6]=>[2,4,5,2,6,1]
[2,1,1,5,6,4]=>[2,2,5,4,6,1]
[2,1,1,6,4,5]=>[2,4,2,5,6,1]
[2,1,1,6,5,4]=>[2,2,4,5,6,1]
[2,1,4,1,5,6]=>[3,2,4,2,6,1]
[2,1,4,1,6,5]=>[3,2,2,4,6,1]
[2,1,4,5,1,6]=>[5,3,2,2,4,1]
[2,1,4,5,6,1]=>[6,5,3,2,2,1]
[2,1,4,6,1,5]=>[6,4,2,2,3,1]
[2,1,4,6,5,1]=>[6,5,2,3,2,1]
[2,1,5,1,4,6]=>[3,4,2,2,6,1]
[2,1,5,1,6,4]=>[4,2,2,3,5,1]
[2,1,5,4,1,6]=>[5,2,3,2,4,1]
[2,1,5,4,6,1]=>[6,3,5,2,2,1]
[2,1,5,6,1,4]=>[6,2,4,2,3,1]
[2,1,5,6,4,1]=>[6,2,5,3,2,1]
[2,1,6,1,4,5]=>[4,3,2,2,5,1]
[2,1,6,1,5,4]=>[4,2,3,2,5,1]
[2,1,6,4,1,5]=>[5,2,2,3,4,1]
[2,1,6,4,5,1]=>[6,3,2,5,2,1]
[2,1,6,5,1,4]=>[6,2,2,4,3,1]
[2,1,6,5,4,1]=>[6,2,3,5,2,1]
[2,4,1,1,5,6]=>[3,1,5,3,6,2]
[2,4,1,1,6,5]=>[3,1,3,5,6,2]
[2,4,1,5,1,6]=>[4,1,2,4,6,3]
[2,4,1,5,6,1]=>[5,1,2,3,5,4]
[2,4,1,6,1,5]=>[4,1,4,2,6,3]
[2,4,1,6,5,1]=>[5,1,3,2,5,4]
[2,4,5,1,1,6]=>[4,1,3,3,5,2]
[2,4,5,1,6,1]=>[6,1,4,3,3,2]
[2,4,5,6,1,1]=>[5,1,4,2,4,3]
[2,4,6,1,1,5]=>[5,1,3,3,4,2]
[2,4,6,1,5,1]=>[6,1,3,4,3,2]
[2,4,6,5,1,1]=>[5,1,2,4,4,3]
[2,5,1,1,4,6]=>[3,5,1,3,6,2]
[2,5,1,1,6,4]=>[3,3,1,5,6,2]
[2,5,1,4,1,6]=>[4,2,1,4,6,3]
[2,5,1,4,6,1]=>[5,2,1,3,5,4]
[2,5,1,6,1,4]=>[4,4,1,2,6,3]
[2,5,1,6,4,1]=>[5,3,1,2,5,4]
[2,5,4,1,1,6]=>[4,3,1,3,5,2]
[2,5,4,1,6,1]=>[5,4,1,2,4,3]
[2,5,4,6,1,1]=>[6,4,1,3,3,2]
[2,5,6,1,1,4]=>[5,3,1,3,4,2]
[2,5,6,1,4,1]=>[6,3,1,4,3,2]
[2,5,6,4,1,1]=>[5,2,1,4,4,3]
[2,6,1,1,4,5]=>[3,5,3,1,6,2]
[2,6,1,1,5,4]=>[3,3,5,1,6,2]
[2,6,1,4,1,5]=>[4,2,4,1,6,3]
[2,6,1,4,5,1]=>[5,2,3,1,5,4]
[2,6,1,5,1,4]=>[4,4,2,1,6,3]
[2,6,1,5,4,1]=>[5,3,2,1,5,4]
[2,6,4,1,1,5]=>[4,3,3,1,5,2]
[2,6,4,1,5,1]=>[5,4,2,1,4,3]
[2,6,4,5,1,1]=>[6,4,3,1,3,2]
[2,6,5,1,1,4]=>[5,3,3,1,4,2]
[2,6,5,1,4,1]=>[5,2,4,1,4,3]
[2,6,5,4,1,1]=>[6,3,4,1,3,2]
[4,1,1,2,5,6]=>[4,5,2,1,2,6]
[4,1,1,2,6,5]=>[5,4,2,1,2,6]
[4,1,1,5,2,6]=>[2,5,2,1,3,6]
[4,1,1,5,6,2]=>[2,3,2,1,5,6]
[4,1,1,6,2,5]=>[5,2,2,1,3,6]
[4,1,1,6,5,2]=>[3,2,2,1,5,6]
[4,1,2,1,5,6]=>[2,3,4,1,2,5]
[4,1,2,1,6,5]=>[3,2,4,1,2,5]
[4,1,2,5,1,6]=>[2,2,5,1,3,4]
[4,1,2,5,6,1]=>[3,2,6,1,5,2]
[4,1,2,6,1,5]=>[2,2,6,1,4,3]
[4,1,2,6,5,1]=>[2,3,6,1,5,2]
[4,1,5,1,2,6]=>[2,4,3,1,2,6]
[4,1,5,1,6,2]=>[2,2,3,1,4,6]
[4,1,5,2,1,6]=>[4,2,6,1,2,3]
[4,1,5,2,6,1]=>[5,2,6,1,3,2]
[4,1,5,6,1,2]=>[3,2,5,1,2,4]
[4,1,5,6,2,1]=>[5,3,6,1,2,2]
[4,1,6,1,2,5]=>[4,2,3,1,2,6]
[4,1,6,1,5,2]=>[2,2,4,1,3,5]
[4,1,6,2,1,5]=>[2,4,6,1,2,3]
[4,1,6,2,5,1]=>[2,5,6,1,3,2]
[4,1,6,5,1,2]=>[2,3,5,1,2,4]
[4,1,6,5,2,1]=>[3,5,6,1,2,2]
[4,2,1,1,5,6]=>[3,4,3,2,1,6]
[4,2,1,1,6,5]=>[4,3,3,2,1,6]
[4,2,1,5,1,6]=>[2,4,4,3,1,5]
[4,2,1,5,6,1]=>[2,3,5,4,1,5]
[4,2,1,6,1,5]=>[4,2,4,3,1,5]
[4,2,1,6,5,1]=>[3,2,5,4,1,5]
[4,2,5,1,1,6]=>[3,3,4,2,1,5]
[4,2,5,1,6,1]=>[4,2,5,3,1,4]
[4,2,5,6,1,1]=>[4,3,6,2,1,3]
[4,2,6,1,1,5]=>[3,3,5,2,1,4]
[4,2,6,1,5,1]=>[2,4,5,3,1,4]
[4,2,6,5,1,1]=>[3,4,6,2,1,3]
[4,5,1,1,2,6]=>[1,5,3,2,3,6]
[4,5,1,1,6,2]=>[1,3,3,2,4,6]
[4,5,1,2,1,6]=>[1,3,5,2,3,4]
[4,5,1,2,6,1]=>[1,3,6,2,4,3]
[4,5,1,6,1,2]=>[1,3,4,2,3,5]
[4,5,1,6,2,1]=>[1,4,6,2,3,3]
[4,5,2,1,1,6]=>[1,4,4,3,2,5]
[4,5,2,1,6,1]=>[1,3,5,4,2,5]
[4,5,2,6,1,1]=>[1,4,5,3,2,4]
[4,5,6,1,1,2]=>[1,2,4,3,4,6]
[4,5,6,1,2,1]=>[1,2,5,3,4,4]
[4,5,6,2,1,1]=>[1,2,5,4,3,5]
[4,6,1,1,2,5]=>[5,1,3,2,3,6]
[4,6,1,1,5,2]=>[3,1,3,2,4,6]
[4,6,1,2,1,5]=>[3,1,5,2,3,4]
[4,6,1,2,5,1]=>[3,1,6,2,4,3]
[4,6,1,5,1,2]=>[3,1,4,2,3,5]
[4,6,1,5,2,1]=>[4,1,6,2,3,3]
[4,6,2,1,1,5]=>[4,1,4,3,2,5]
[4,6,2,1,5,1]=>[3,1,5,4,2,5]
[4,6,2,5,1,1]=>[4,1,5,3,2,4]
[4,6,5,1,1,2]=>[2,1,4,3,4,6]
[4,6,5,1,2,1]=>[2,1,5,3,4,4]
[4,6,5,2,1,1]=>[2,1,5,4,3,5]
[5,1,1,2,4,6]=>[5,2,1,2,6,4]
[5,1,1,2,6,4]=>[4,2,1,2,6,5]
[5,1,1,4,2,6]=>[4,2,1,5,6,2]
[5,1,1,4,6,2]=>[5,2,1,4,6,2]
[5,1,1,6,2,4]=>[2,2,1,3,6,5]
[5,1,1,6,4,2]=>[2,2,1,5,6,3]
[5,1,2,1,4,6]=>[4,3,1,2,6,2]
[5,1,2,1,6,4]=>[2,4,1,2,5,3]
[5,1,2,4,1,6]=>[2,6,1,5,2,3]
[5,1,2,4,6,1]=>[2,6,1,4,3,2]
[5,1,2,6,1,4]=>[2,5,1,3,4,2]
[5,1,2,6,4,1]=>[4,6,1,5,2,2]
[5,1,4,1,2,6]=>[3,6,1,2,2,5]
[5,1,4,1,6,2]=>[2,6,1,3,2,5]
[5,1,4,2,1,6]=>[2,5,1,2,4,3]
[5,1,4,2,6,1]=>[2,4,1,3,5,2]
[5,1,4,6,1,2]=>[2,6,1,2,3,4]
[5,1,4,6,2,1]=>[3,4,1,2,5,2]
[5,1,6,1,2,4]=>[2,3,1,2,6,4]
[5,1,6,1,4,2]=>[2,3,1,4,6,2]
[5,1,6,2,1,4]=>[3,5,1,2,4,2]
[5,1,6,2,4,1]=>[5,6,1,4,2,2]
[5,1,6,4,1,2]=>[5,6,1,2,2,3]
[5,1,6,4,2,1]=>[4,6,1,2,3,2]
[5,2,1,1,4,6]=>[5,3,2,1,6,3]
[5,2,1,1,6,4]=>[3,3,2,1,6,4]
[5,2,1,4,1,6]=>[3,5,4,1,5,2]
[5,2,1,4,6,1]=>[4,4,3,1,5,2]
[5,2,1,6,1,4]=>[2,4,3,1,6,4]
[5,2,1,6,4,1]=>[2,5,4,1,5,3]
[5,2,4,1,1,6]=>[3,6,2,1,3,4]
[5,2,4,1,6,1]=>[3,5,2,1,4,3]
[5,2,4,6,1,1]=>[2,6,3,1,4,4]
[5,2,6,1,1,4]=>[3,4,2,1,5,3]
[5,2,6,1,4,1]=>[4,5,3,1,4,2]
[5,2,6,4,1,1]=>[5,6,2,1,3,3]
[5,4,1,1,2,6]=>[2,5,4,3,5,1]
[5,4,1,1,6,2]=>[3,5,4,2,5,1]
[5,4,1,2,1,6]=>[2,4,3,4,6,1]
[5,4,1,2,6,1]=>[3,3,2,4,6,1]
[5,4,1,6,1,2]=>[4,4,3,2,5,1]
[5,4,1,6,2,1]=>[5,3,2,3,6,1]
[5,4,2,1,1,6]=>[2,5,3,4,4,1]
[5,4,2,1,6,1]=>[3,5,2,3,4,1]
[5,4,2,6,1,1]=>[3,6,2,4,3,1]
[5,4,6,1,1,2]=>[4,5,3,2,4,1]
[5,4,6,1,2,1]=>[3,4,2,3,5,1]
[5,4,6,2,1,1]=>[4,6,2,3,3,1]
[5,6,1,1,2,4]=>[1,3,2,3,6,5]
[5,6,1,1,4,2]=>[1,3,2,5,6,3]
[5,6,1,2,1,4]=>[1,4,2,3,5,3]
[5,6,1,2,4,1]=>[1,6,2,5,3,3]
[5,6,1,4,1,2]=>[1,6,2,3,3,4]
[5,6,1,4,2,1]=>[1,5,2,3,4,3]
[5,6,2,1,1,4]=>[1,4,3,2,6,4]
[5,6,2,1,4,1]=>[1,5,4,2,5,3]
[5,6,2,4,1,1]=>[1,6,3,2,4,4]
[5,6,4,1,1,2]=>[1,5,4,3,5,2]
[5,6,4,1,2,1]=>[1,4,3,4,6,2]
[5,6,4,2,1,1]=>[1,5,3,4,4,2]
[6,1,1,2,4,5]=>[2,1,2,6,4,5]
[6,1,1,2,5,4]=>[2,1,2,6,5,4]
[6,1,1,4,2,5]=>[2,1,5,6,2,4]
[6,1,1,4,5,2]=>[2,1,4,6,2,5]
[6,1,1,5,2,4]=>[2,1,5,6,4,2]
[6,1,1,5,4,2]=>[2,1,4,6,5,2]
[6,1,2,1,4,5]=>[3,1,2,6,2,4]
[6,1,2,1,5,4]=>[3,1,2,6,4,2]
[6,1,2,4,1,5]=>[6,1,5,2,4,2]
[6,1,2,4,5,1]=>[5,1,3,4,2,2]
[6,1,2,5,1,4]=>[6,1,5,2,2,4]
[6,1,2,5,4,1]=>[6,1,4,3,2,2]
[6,1,4,1,2,5]=>[6,1,2,2,5,3]
[6,1,4,1,5,2]=>[6,1,4,2,5,2]
[6,1,4,2,1,5]=>[6,1,2,3,4,2]
[6,1,4,2,5,1]=>[3,1,4,6,2,2]
[6,1,4,5,1,2]=>[4,1,2,5,2,3]
[6,1,4,5,2,1]=>[5,1,2,4,3,2]
[6,1,5,1,2,4]=>[6,1,2,2,3,5]
[6,1,5,1,4,2]=>[6,1,4,2,2,5]
[6,1,5,2,1,4]=>[6,1,2,3,2,4]
[6,1,5,2,4,1]=>[4,1,3,5,2,2]
[6,1,5,4,1,2]=>[5,1,2,4,2,3]
[6,1,5,4,2,1]=>[4,1,2,5,3,2]
[6,2,1,1,4,5]=>[3,2,1,6,3,5]
[6,2,1,1,5,4]=>[3,2,1,6,5,3]
[6,2,1,4,1,5]=>[5,4,1,5,2,3]
[6,2,1,4,5,1]=>[4,3,1,6,2,4]
[6,2,1,5,1,4]=>[5,4,1,5,3,2]
[6,2,1,5,4,1]=>[4,3,1,6,4,2]
[6,2,4,1,1,5]=>[6,2,1,3,5,3]
[6,2,4,1,5,1]=>[4,2,1,5,3,3]
[6,2,4,5,1,1]=>[6,3,1,4,4,2]
[6,2,5,1,1,4]=>[6,2,1,3,3,5]
[6,2,5,1,4,1]=>[5,2,1,4,3,3]
[6,2,5,4,1,1]=>[6,3,1,4,2,4]
[6,4,1,1,2,5]=>[5,4,3,5,1,2]
[6,4,1,1,5,2]=>[5,4,2,5,1,3]
[6,4,1,2,1,5]=>[4,3,4,6,1,2]
[6,4,1,2,5,1]=>[3,2,5,6,1,3]
[6,4,1,5,1,2]=>[3,2,3,6,1,5]
[6,4,1,5,2,1]=>[4,3,2,6,1,4]
[6,4,2,1,1,5]=>[5,3,4,4,1,2]
[6,4,2,1,5,1]=>[4,2,3,5,1,3]
[6,4,2,5,1,1]=>[6,2,5,3,1,3]
[6,4,5,1,1,2]=>[6,2,3,3,1,4]
[6,4,5,1,2,1]=>[6,3,2,4,1,4]
[6,4,5,2,1,1]=>[5,2,3,4,1,3]
[6,5,1,1,2,4]=>[5,4,3,5,2,1]
[6,5,1,1,4,2]=>[5,4,2,5,3,1]
[6,5,1,2,1,4]=>[4,3,4,6,2,1]
[6,5,1,2,4,1]=>[3,2,5,6,3,1]
[6,5,1,4,1,2]=>[4,3,2,6,4,1]
[6,5,1,4,2,1]=>[3,2,3,6,5,1]
[6,5,2,1,1,4]=>[5,3,4,4,2,1]
[6,5,2,1,4,1]=>[4,2,3,5,3,1]
[6,5,2,4,1,1]=>[6,2,5,3,3,1]
[6,5,4,1,1,2]=>[6,3,2,4,4,1]
[6,5,4,1,2,1]=>[6,2,3,3,4,1]
[6,5,4,2,1,1]=>[5,2,3,4,3,1]
[1,1,3,3,3,3]=>[1,1,3,3,3,3]
[1,3,1,3,3,3]=>[2,1,1,2,2,2]
[1,3,3,1,3,3]=>[2,1,2,1,2,2]
[1,3,3,3,1,3]=>[2,1,2,2,1,2]
[1,3,3,3,3,1]=>[2,1,2,2,2,1]
[3,1,1,3,3,3]=>[4,4,1,1,1,1]
[3,1,3,1,3,3]=>[4,1,4,1,1,1]
[3,1,3,3,1,3]=>[4,1,1,4,1,1]
[3,1,3,3,3,1]=>[5,1,1,1,1,5]
[3,3,1,1,3,3]=>[1,4,4,1,1,1]
[3,3,1,3,1,3]=>[1,4,1,4,1,1]
[3,3,1,3,3,1]=>[1,5,1,1,1,5]
[3,3,3,1,1,3]=>[1,1,4,4,1,1]
[3,3,3,1,3,1]=>[1,1,5,1,1,5]
[3,3,3,3,1,1]=>[1,1,1,5,1,5]
[1,1,3,3,3,4]=>[1,1,3,3,3,4]
[1,1,3,3,4,3]=>[1,1,3,3,4,3]
[1,1,3,4,3,3]=>[1,1,3,4,3,3]
[1,1,4,3,3,3]=>[1,3,1,4,4,4]
[1,3,1,3,3,4]=>[2,1,2,1,2,5]
[1,3,1,3,4,3]=>[2,1,2,1,5,2]
[1,3,1,4,3,3]=>[4,2,1,1,4,4]
[1,3,3,1,3,4]=>[2,1,2,2,1,5]
[1,3,3,1,4,3]=>[4,2,1,4,1,4]
[1,3,3,3,1,4]=>[2,1,1,2,2,3]
[1,3,3,3,4,1]=>[4,2,1,4,4,1]
[1,3,3,4,1,3]=>[2,1,1,2,3,2]
[1,3,3,4,3,1]=>[2,1,2,2,5,1]
[1,3,4,1,3,3]=>[2,1,1,3,2,2]
[1,3,4,3,1,3]=>[2,1,2,5,1,2]
[1,3,4,3,3,1]=>[2,1,2,5,2,1]
[1,4,1,3,3,3]=>[3,1,1,2,2,2]
[1,4,3,1,3,3]=>[4,1,2,1,2,2]
[1,4,3,3,1,3]=>[4,1,2,2,1,2]
[1,4,3,3,3,1]=>[4,1,2,2,2,1]
[3,1,1,3,3,4]=>[1,4,4,1,1,2]
[3,1,1,3,4,3]=>[1,5,5,1,2,1]
[3,1,1,4,3,3]=>[1,3,3,2,1,1]
[3,1,3,1,3,4]=>[1,4,1,4,1,2]
[3,1,3,1,4,3]=>[1,5,1,5,2,1]
[3,1,3,3,1,4]=>[4,4,1,1,1,5]
[3,1,3,3,4,1]=>[1,5,1,1,2,5]
[3,1,3,4,1,3]=>[3,3,1,5,1,1]
[3,1,3,4,3,1]=>[1,4,1,2,1,4]
[3,1,4,1,3,3]=>[3,3,5,1,1,1]
[3,1,4,3,1,3]=>[1,3,2,3,1,1]
[3,1,4,3,3,1]=>[1,4,2,1,1,4]
[3,3,1,1,3,4]=>[1,1,4,4,1,2]
[3,3,1,1,4,3]=>[1,1,5,5,2,1]
[3,3,1,3,1,4]=>[4,1,4,1,1,5]
[3,3,1,3,4,1]=>[1,1,5,1,2,5]
[3,3,1,4,1,3]=>[3,1,3,5,1,1]
[3,3,1,4,3,1]=>[1,1,4,2,1,4]
[3,3,3,1,1,4]=>[4,1,1,4,1,5]
[3,3,3,1,4,1]=>[4,1,1,5,1,4]
[3,3,3,4,1,1]=>[1,1,1,5,2,5]
[3,3,4,1,1,3]=>[3,1,5,3,1,1]
[3,3,4,1,3,1]=>[4,1,5,1,1,4]
[3,3,4,3,1,1]=>[1,1,2,4,1,4]
[3,4,1,1,3,3]=>[3,5,3,1,1,1]
[3,4,1,3,1,3]=>[3,5,1,3,1,1]
[3,4,1,3,3,1]=>[4,5,1,1,1,4]
[3,4,3,1,1,3]=>[1,2,3,3,1,1]
[3,4,3,1,3,1]=>[1,2,4,1,1,4]
[3,4,3,3,1,1]=>[1,2,1,4,1,4]
[4,1,1,3,3,3]=>[2,4,4,1,4,2]
[4,1,3,1,3,3]=>[4,2,4,1,4,2]
[4,1,3,3,1,3]=>[4,4,2,1,4,2]
[4,1,3,3,3,1]=>[4,4,4,1,2,2]
[4,3,1,1,3,3]=>[4,4,2,2,2,1]
[4,3,1,3,1,3]=>[4,2,4,2,2,1]
[4,3,1,3,3,1]=>[5,2,2,2,5,1]
[4,3,3,1,1,3]=>[2,4,4,2,2,1]
[4,3,3,1,3,1]=>[2,5,2,2,5,1]
[4,3,3,3,1,1]=>[2,2,5,2,5,1]
[1,1,3,3,3,5]=>[1,1,3,3,3,5]
[1,1,3,3,5,3]=>[1,1,3,3,5,3]
[1,1,3,5,3,3]=>[1,1,4,3,3,3]
[1,1,5,3,3,3]=>[1,3,4,1,4,4]
[1,3,1,3,3,5]=>[2,1,1,2,2,5]
[1,3,1,3,5,3]=>[2,1,1,2,5,2]
[1,3,1,5,3,3]=>[4,3,1,1,4,4]
[1,3,3,1,3,5]=>[2,1,2,2,1,6]
[1,3,3,1,5,3]=>[4,2,4,1,1,4]
[1,3,3,3,1,5]=>[2,1,2,1,2,3]
[1,3,3,3,5,1]=>[4,2,4,1,4,1]
[1,3,3,5,1,3]=>[2,1,2,1,3,2]
[1,3,3,5,3,1]=>[2,1,2,2,6,1]
[1,3,5,1,3,3]=>[2,1,3,1,2,2]
[1,3,5,3,1,3]=>[2,1,5,2,1,2]
[1,3,5,3,3,1]=>[2,1,5,2,2,1]
[1,5,1,3,3,3]=>[4,1,1,2,2,2]
[1,5,3,1,3,3]=>[3,1,2,1,2,2]
[1,5,3,3,1,3]=>[5,1,2,2,1,2]
[1,5,3,3,3,1]=>[5,1,2,2,2,1]
[3,1,1,3,3,5]=>[4,1,4,1,1,2]
[3,1,1,3,5,3]=>[5,1,5,1,2,1]
[3,1,1,5,3,3]=>[3,1,3,2,1,1]
[3,1,3,1,3,5]=>[4,1,1,4,1,2]
[3,1,3,1,5,3]=>[5,1,1,5,2,1]
[3,1,3,3,1,5]=>[4,4,1,1,1,6]
[3,1,3,3,5,1]=>[5,1,1,1,2,5]
[3,1,3,5,1,3]=>[3,3,1,6,1,1]
[3,1,3,5,3,1]=>[4,1,1,2,1,4]
[3,1,5,1,3,3]=>[3,3,6,1,1,1]
[3,1,5,3,1,3]=>[3,1,2,3,1,1]
[3,1,5,3,3,1]=>[4,1,2,1,1,4]
[3,3,1,1,3,5]=>[1,1,4,4,1,3]
[3,3,1,1,5,3]=>[1,1,5,5,3,1]
[3,3,1,3,1,5]=>[1,4,4,1,1,5]
[3,3,1,3,5,1]=>[1,1,5,1,3,5]
[3,3,1,5,1,3]=>[1,3,3,5,1,1]
[3,3,1,5,3,1]=>[1,1,4,3,1,4]
[3,3,3,1,1,5]=>[1,4,1,4,1,5]
[3,3,3,1,5,1]=>[1,4,1,5,1,4]
[3,3,3,5,1,1]=>[1,1,1,5,3,5]
[3,3,5,1,1,3]=>[1,3,5,3,1,1]
[3,3,5,1,3,1]=>[1,4,5,1,1,4]
[3,3,5,3,1,1]=>[1,1,3,4,1,4]
[3,5,1,1,3,3]=>[5,3,3,1,1,1]
[3,5,1,3,1,3]=>[5,3,1,3,1,1]
[3,5,1,3,3,1]=>[5,4,1,1,1,4]
[3,5,3,1,1,3]=>[2,1,3,3,1,1]
[3,5,3,1,3,1]=>[2,1,4,1,1,4]
[3,5,3,3,1,1]=>[2,1,1,4,1,4]
[5,1,1,3,3,3]=>[2,4,1,4,2,4]
[5,1,3,1,3,3]=>[4,2,1,4,2,4]
[5,1,3,3,1,3]=>[4,4,1,2,2,4]
[5,1,3,3,3,1]=>[3,3,1,3,2,2]
[5,3,1,1,3,3]=>[3,3,2,2,1,2]
[5,3,1,3,1,3]=>[4,2,2,4,1,2]
[5,3,1,3,3,1]=>[4,2,2,2,1,4]
[5,3,3,1,1,3]=>[2,4,2,4,1,2]
[5,3,3,1,3,1]=>[2,4,2,2,1,4]
[5,3,3,3,1,1]=>[2,2,2,5,1,5]
[1,1,3,3,3,6]=>[1,1,3,3,3,6]
[1,1,3,3,6,3]=>[1,1,3,5,3,3]
[1,1,3,6,3,3]=>[1,1,5,3,3,3]
[1,1,6,3,3,3]=>[1,3,4,4,1,4]
[1,3,1,3,3,6]=>[2,1,1,2,2,6]
[1,3,1,3,6,3]=>[2,1,1,5,2,2]
[1,3,1,6,3,3]=>[4,3,1,4,1,4]
[1,3,3,1,3,6]=>[2,1,2,1,2,6]
[1,3,3,1,6,3]=>[4,3,4,1,1,4]
[1,3,3,3,1,6]=>[2,1,2,2,1,3]
[1,3,3,3,6,1]=>[4,2,4,4,1,1]
[1,3,3,6,1,3]=>[2,1,2,3,1,2]
[1,3,3,6,3,1]=>[2,1,2,6,2,1]
[1,3,6,1,3,3]=>[2,1,5,1,2,2]
[1,3,6,3,1,3]=>[2,1,3,2,1,2]
[1,3,6,3,3,1]=>[2,1,6,2,2,1]
[1,6,1,3,3,3]=>[5,1,1,2,2,2]
[1,6,3,1,3,3]=>[5,1,2,1,2,2]
[1,6,3,3,1,3]=>[3,1,2,2,1,2]
[1,6,3,3,3,1]=>[6,1,2,2,2,1]
[3,1,1,3,3,6]=>[4,4,1,1,1,2]
[3,1,1,3,6,3]=>[5,5,1,1,2,1]
[3,1,1,6,3,3]=>[3,3,1,2,1,1]
[3,1,3,1,3,6]=>[4,1,1,4,1,3]
[3,1,3,1,6,3]=>[5,1,1,5,3,1]
[3,1,3,3,1,6]=>[4,1,4,1,1,6]
[3,1,3,3,6,1]=>[5,1,1,1,3,5]
[3,1,3,6,1,3]=>[3,1,3,6,1,1]
[3,1,3,6,3,1]=>[4,1,1,3,1,4]
[3,1,6,1,3,3]=>[3,6,3,1,1,1]
[3,1,6,3,1,3]=>[3,2,1,3,1,1]
[3,1,6,3,3,1]=>[4,2,1,1,1,4]
[3,3,1,1,3,6]=>[1,4,1,4,1,3]
[3,3,1,1,6,3]=>[1,5,1,5,3,1]
[3,3,1,3,1,6]=>[1,4,4,1,1,6]
[3,3,1,3,6,1]=>[1,5,1,1,3,5]
[3,3,1,6,1,3]=>[1,3,3,6,1,1]
[3,3,1,6,3,1]=>[1,4,1,3,1,4]
[3,3,3,1,1,6]=>[1,1,4,4,1,5]
[3,3,3,1,6,1]=>[1,1,4,5,1,4]
[3,3,3,6,1,1]=>[1,1,1,5,4,5]
[3,3,6,1,1,3]=>[1,5,3,3,1,1]
[3,3,6,1,3,1]=>[1,5,4,1,1,4]
[3,3,6,3,1,1]=>[1,3,1,4,1,4]
[3,6,1,1,3,3]=>[6,3,3,1,1,1]
[3,6,1,3,1,3]=>[2,3,1,3,1,1]
[3,6,1,3,3,1]=>[2,4,1,1,1,4]
[3,6,3,1,1,3]=>[5,1,3,3,1,1]
[3,6,3,1,3,1]=>[5,1,4,1,1,4]
[3,6,3,3,1,1]=>[3,1,1,4,1,4]
[6,1,1,3,3,3]=>[2,1,4,2,4,4]
[6,1,3,1,3,3]=>[4,1,2,2,4,4]
[6,1,3,3,1,3]=>[3,1,3,2,2,3]
[6,1,3,3,3,1]=>[3,1,3,2,3,2]
[6,3,1,1,3,3]=>[3,2,3,1,2,2]
[6,3,1,3,1,3]=>[3,2,2,1,3,2]
[6,3,1,3,3,1]=>[3,2,2,1,2,3]
[6,3,3,1,1,3]=>[2,2,4,1,4,2]
[6,3,3,1,3,1]=>[2,2,4,1,2,4]
[6,3,3,3,1,1]=>[2,2,2,1,4,4]
[1,1,3,3,4,4]=>[1,1,3,3,4,4]
[1,1,3,4,3,4]=>[1,1,3,4,3,4]
[1,1,3,4,4,3]=>[1,1,3,4,4,3]
[1,1,4,3,3,4]=>[1,3,1,4,4,3]
[1,1,4,3,4,3]=>[1,3,1,4,3,4]
[1,1,4,4,3,3]=>[1,3,1,3,4,4]
[1,3,1,3,4,4]=>[2,1,2,1,5,5]
[1,3,1,4,3,4]=>[4,2,1,1,4,2]
[1,3,1,4,4,3]=>[4,2,1,1,2,4]
[1,3,3,1,4,4]=>[2,1,1,2,3,3]
[1,3,3,4,1,4]=>[4,2,1,4,1,2]
[1,3,3,4,4,1]=>[4,2,1,4,2,1]
[1,3,4,1,3,4]=>[2,1,2,5,1,5]
[1,3,4,1,4,3]=>[4,2,1,2,1,4]
[1,3,4,3,1,4]=>[2,1,1,3,2,3]
[1,3,4,3,4,1]=>[4,2,1,2,4,1]
[1,3,4,4,1,3]=>[2,1,1,3,3,2]
[1,3,4,4,3,1]=>[2,1,2,5,5,1]
[1,4,1,3,3,4]=>[4,1,2,1,2,4]
[1,4,1,3,4,3]=>[4,1,2,1,4,2]
[1,4,1,4,3,3]=>[2,2,1,1,5,5]
[1,4,3,1,3,4]=>[4,1,2,2,1,4]
[1,4,3,1,4,3]=>[2,2,1,5,1,5]
[1,4,3,3,1,4]=>[3,1,1,2,2,3]
[1,4,3,3,4,1]=>[2,2,1,5,5,1]
[1,4,3,4,1,3]=>[3,1,1,2,3,2]
[1,4,3,4,3,1]=>[4,1,2,2,4,1]
[1,4,4,1,3,3]=>[3,1,1,3,2,2]
[1,4,4,3,1,3]=>[4,1,2,4,1,2]
[1,4,4,3,3,1]=>[4,1,2,4,2,1]
[3,1,1,3,4,4]=>[1,4,4,1,2,2]
[3,1,1,4,3,4]=>[1,3,3,2,1,2]
[3,1,1,4,4,3]=>[1,5,5,2,2,1]
[3,1,3,1,4,4]=>[3,3,1,4,1,4]
[3,1,3,4,1,4]=>[1,4,1,4,2,2]
[3,1,3,4,4,1]=>[1,5,1,2,2,5]
[3,1,4,1,3,4]=>[1,3,2,3,1,2]
[3,1,4,1,4,3]=>[1,5,2,5,2,1]
[3,1,4,3,1,4]=>[3,3,4,1,1,4]
[3,1,4,3,4,1]=>[1,5,2,1,2,5]
[3,1,4,4,1,3]=>[2,2,4,4,1,1]
[3,1,4,4,3,1]=>[1,3,2,2,1,3]
[3,3,1,1,4,4]=>[3,1,3,4,1,4]
[3,3,1,4,1,4]=>[3,1,4,3,1,4]
[3,3,1,4,4,1]=>[3,1,4,4,1,3]
[3,3,4,1,1,4]=>[1,1,4,4,2,2]
[3,3,4,1,4,1]=>[1,1,5,2,2,5]
[3,3,4,4,1,1]=>[1,1,2,5,2,5]
[3,4,1,1,3,4]=>[1,2,3,3,1,2]
[3,4,1,1,4,3]=>[1,2,5,5,2,1]
[3,4,1,3,1,4]=>[3,4,3,1,1,4]
[3,4,1,3,4,1]=>[1,2,5,1,2,5]
[3,4,1,4,1,3]=>[2,4,2,4,1,1]
[3,4,1,4,3,1]=>[1,2,3,2,1,3]
[3,4,3,1,1,4]=>[3,4,1,3,1,4]
[3,4,3,1,4,1]=>[3,4,1,4,1,3]
[3,4,3,4,1,1]=>[1,2,1,5,2,5]
[3,4,4,1,1,3]=>[2,4,4,2,1,1]
[3,4,4,1,3,1]=>[3,4,4,1,1,3]
[3,4,4,3,1,1]=>[1,2,2,3,1,3]
[4,1,1,3,3,4]=>[5,5,3,3,1,1]
[4,1,1,3,4,3]=>[2,2,3,1,3,1]
[4,1,1,4,3,3]=>[4,4,1,3,3,1]
[4,1,3,1,3,4]=>[5,3,5,3,1,1]
[4,1,3,1,4,3]=>[2,3,2,1,3,1]
[4,1,3,3,1,4]=>[2,3,3,1,2,1]
[4,1,3,3,4,1]=>[2,5,5,1,1,2]
[4,1,3,4,1,3]=>[3,5,1,1,5,3]
[4,1,3,4,3,1]=>[5,3,1,3,5,1]
[4,1,4,1,3,3]=>[3,1,5,1,5,3]
[4,1,4,3,1,3]=>[4,1,4,3,3,1]
[4,1,4,3,3,1]=>[5,1,3,3,5,1]
[4,3,1,1,3,4]=>[3,5,5,3,1,1]
[4,3,1,1,4,3]=>[3,2,2,1,3,1]
[4,3,1,3,1,4]=>[3,2,3,1,2,1]
[4,3,1,3,4,1]=>[5,2,5,1,1,2]
[4,3,1,4,1,3]=>[5,3,1,1,5,3]
[4,3,1,4,3,1]=>[3,5,1,3,5,1]
[4,3,3,1,1,4]=>[3,3,2,1,2,1]
[4,3,3,1,4,1]=>[5,5,2,1,1,2]
[4,3,3,4,1,1]=>[5,5,1,1,3,3]
[4,3,4,1,1,3]=>[5,1,3,1,5,3]
[4,3,4,1,3,1]=>[5,1,5,1,3,3]
[4,3,4,3,1,1]=>[3,1,5,3,5,1]
[4,4,1,1,3,3]=>[1,3,5,1,5,3]
[4,4,1,3,1,3]=>[1,5,3,1,5,3]
[4,4,1,3,3,1]=>[1,5,5,1,3,3]
[4,4,3,1,1,3]=>[1,4,4,3,3,1]
[4,4,3,1,3,1]=>[1,5,3,3,5,1]
[4,4,3,3,1,1]=>[1,3,5,3,5,1]
[1,1,3,3,4,5]=>[1,1,3,4,3,6]
[1,1,3,3,5,4]=>[1,1,4,3,3,6]
[1,1,3,4,3,5]=>[1,1,3,3,4,5]
[1,1,3,4,5,3]=>[1,1,4,3,6,3]
[1,1,3,5,3,4]=>[1,1,3,3,5,4]
[1,1,3,5,4,3]=>[1,1,3,4,6,3]
[1,1,4,3,3,5]=>[1,3,1,4,4,5]
[1,1,4,3,5,3]=>[1,3,1,4,5,4]
[1,1,4,5,3,3]=>[1,4,1,3,5,5]
[1,1,5,3,3,4]=>[1,3,4,1,4,5]
[1,1,5,3,4,3]=>[1,3,4,1,5,4]
[1,1,5,4,3,3]=>[1,4,3,1,5,5]
[1,3,1,3,4,5]=>[2,1,2,5,1,6]
[1,3,1,3,5,4]=>[2,1,5,2,1,6]
[1,3,1,4,3,5]=>[4,2,1,4,1,6]
[1,3,1,4,5,3]=>[5,4,1,2,1,5]
[1,3,1,5,3,4]=>[4,2,4,1,1,6]
[1,3,1,5,4,3]=>[5,4,2,1,1,5]
[1,3,3,1,4,5]=>[2,1,1,3,2,6]
[1,3,3,1,5,4]=>[2,1,3,1,2,6]
[1,3,3,4,1,5]=>[4,2,1,1,4,3]
[1,3,3,4,5,1]=>[5,4,2,1,5,1]
[1,3,3,5,1,4]=>[5,3,1,1,5,2]
[1,3,3,5,4,1]=>[5,4,1,2,5,1]
[1,3,4,1,3,5]=>[2,1,1,2,3,5]
[1,3,4,1,5,3]=>[5,3,1,1,2,5]
[1,3,4,3,1,5]=>[2,1,2,1,5,3]
[1,3,4,3,5,1]=>[4,2,4,1,6,1]
[1,3,4,5,1,3]=>[2,1,3,1,6,2]
[1,3,4,5,3,1]=>[2,1,5,2,6,1]
[1,3,5,1,3,4]=>[2,1,2,1,3,5]
[1,3,5,1,4,3]=>[4,2,1,1,3,4]
[1,3,5,3,1,4]=>[2,1,1,2,5,3]
[1,3,5,3,4,1]=>[4,2,1,4,6,1]
[1,3,5,4,1,3]=>[2,1,1,3,6,2]
[1,3,5,4,3,1]=>[2,1,2,5,6,1]
[1,4,1,3,3,5]=>[3,1,1,2,2,4]
[1,4,1,3,5,3]=>[3,1,1,2,4,2]
[1,4,1,5,3,3]=>[2,3,1,1,5,5]
[1,4,3,1,3,5]=>[4,1,2,2,1,5]
[1,4,3,1,5,3]=>[5,2,4,1,1,4]
[1,4,3,3,1,5]=>[4,1,2,1,2,3]
[1,4,3,3,5,1]=>[5,2,4,1,4,1]
[1,4,3,5,1,3]=>[4,1,2,1,3,2]
[1,4,3,5,3,1]=>[4,1,2,2,5,1]
[1,4,5,1,3,3]=>[6,1,3,1,2,2]
[1,4,5,3,1,3]=>[6,1,4,2,1,2]
[1,4,5,3,3,1]=>[6,1,4,2,2,1]
[1,5,1,3,3,4]=>[3,1,2,1,2,4]
[1,5,1,3,4,3]=>[3,1,2,1,4,2]
[1,5,1,4,3,3]=>[3,2,1,1,4,4]
[1,5,3,1,3,4]=>[5,1,2,2,1,4]
[1,5,3,1,4,3]=>[5,2,1,4,1,4]
[1,5,3,3,1,4]=>[4,1,1,2,2,3]
[1,5,3,3,4,1]=>[5,2,1,4,4,1]
[1,5,3,4,1,3]=>[4,1,1,2,3,2]
[1,5,3,4,3,1]=>[5,1,2,2,4,1]
[1,5,4,1,3,3]=>[6,1,1,3,2,2]
[1,5,4,3,1,3]=>[6,1,2,4,1,2]
[1,5,4,3,3,1]=>[6,1,2,4,2,1]
[3,1,1,3,4,5]=>[1,2,3,3,1,4]
[3,1,1,3,5,4]=>[2,1,3,3,1,4]
[3,1,1,4,3,5]=>[1,1,4,4,2,3]
[3,1,1,4,5,3]=>[2,1,5,5,4,1]
[3,1,1,5,3,4]=>[1,1,5,5,3,2]
[3,1,1,5,4,3]=>[1,2,5,5,4,1]
[3,1,3,1,4,5]=>[3,4,3,1,1,6]
[3,1,3,1,5,4]=>[4,3,3,1,1,6]
[3,1,3,4,1,5]=>[1,4,4,1,2,5]
[3,1,3,4,5,1]=>[1,2,5,1,4,5]
[3,1,3,5,1,4]=>[4,1,4,1,2,5]
[3,1,3,5,4,1]=>[2,1,5,1,4,5]
[3,1,4,1,3,5]=>[3,1,3,5,1,2]
[3,1,4,1,5,3]=>[4,1,4,5,2,1]
[3,1,4,3,1,5]=>[1,3,3,2,1,5]
[3,1,4,3,5,1]=>[1,1,5,2,3,5]
[3,1,4,5,1,3]=>[4,2,2,6,1,1]
[3,1,4,5,3,1]=>[2,1,3,4,1,3]
[3,1,5,1,3,4]=>[1,3,3,5,1,2]
[3,1,5,1,4,3]=>[1,4,4,5,2,1]
[3,1,5,3,1,4]=>[3,1,3,2,1,5]
[3,1,5,3,4,1]=>[1,1,4,3,2,4]
[3,1,5,4,1,3]=>[2,4,2,6,1,1]
[3,1,5,4,3,1]=>[1,2,3,4,1,3]
[3,3,1,1,4,5]=>[3,4,1,3,1,6]
[3,3,1,1,5,4]=>[4,3,1,3,1,6]
[3,3,1,4,1,5]=>[3,3,1,4,1,5]
[3,3,1,4,5,1]=>[4,3,1,6,1,3]
[3,3,1,5,1,4]=>[3,3,1,5,1,4]
[3,3,1,5,4,1]=>[3,4,1,6,1,3]
[3,3,4,1,1,5]=>[1,4,1,4,2,5]
[3,3,4,1,5,1]=>[1,4,1,5,2,4]
[3,3,4,5,1,1]=>[1,2,1,5,4,5]
[3,3,5,1,1,4]=>[4,1,1,4,2,5]
[3,3,5,1,4,1]=>[4,1,1,5,2,4]
[3,3,5,4,1,1]=>[2,1,1,5,4,5]
[3,4,1,1,3,5]=>[3,1,5,3,1,2]
[3,4,1,1,5,3]=>[4,1,5,4,2,1]
[3,4,1,3,1,5]=>[3,3,4,1,1,5]
[3,4,1,3,5,1]=>[4,1,5,1,2,4]
[3,4,1,5,1,3]=>[2,2,4,5,1,1]
[3,4,1,5,3,1]=>[3,1,5,2,1,3]
[3,4,3,1,1,5]=>[1,3,2,3,1,5]
[3,4,3,1,5,1]=>[1,3,2,5,1,3]
[3,4,3,5,1,1]=>[1,1,2,5,3,5]
[3,4,5,1,1,3]=>[4,2,6,2,1,1]
[3,4,5,1,3,1]=>[4,3,6,1,1,3]
[3,4,5,3,1,1]=>[2,1,4,3,1,3]
[3,5,1,1,3,4]=>[1,3,5,3,1,2]
[3,5,1,1,4,3]=>[1,4,5,4,2,1]
[3,5,1,3,1,4]=>[3,3,5,1,1,4]
[3,5,1,3,4,1]=>[1,4,5,1,2,4]
[3,5,1,4,1,3]=>[2,2,5,4,1,1]
[3,5,1,4,3,1]=>[1,3,5,2,1,3]
[3,5,3,1,1,4]=>[3,1,2,3,1,5]
[3,5,3,1,4,1]=>[3,1,2,5,1,3]
[3,5,3,4,1,1]=>[1,1,3,4,2,4]
[3,5,4,1,1,3]=>[2,4,6,2,1,1]
[3,5,4,1,3,1]=>[3,4,6,1,1,3]
[3,5,4,3,1,1]=>[1,2,4,3,1,3]
[4,1,1,3,3,5]=>[4,2,4,1,5,2]
[4,1,1,3,5,3]=>[2,2,5,1,5,3]
[4,1,1,5,3,3]=>[4,2,5,1,4,2]
[4,1,3,1,3,5]=>[4,4,2,1,5,2]
[4,1,3,1,5,3]=>[2,5,2,1,5,3]
[4,1,3,3,1,5]=>[2,5,5,1,2,3]
[4,1,3,3,5,1]=>[2,4,4,1,3,2]
[4,1,3,5,1,3]=>[2,4,3,1,4,2]
[4,1,3,5,3,1]=>[4,4,5,1,2,2]
[4,1,5,1,3,3]=>[2,3,4,1,4,2]
[4,1,5,3,1,3]=>[4,5,2,1,4,2]
[4,1,5,3,3,1]=>[4,5,4,1,2,2]
[4,3,1,1,3,5]=>[2,4,4,2,3,1]
[4,3,1,1,5,3]=>[2,5,5,3,2,1]
[4,3,1,3,1,5]=>[2,5,2,3,5,1]
[4,3,1,3,5,1]=>[4,4,2,2,5,1]
[4,3,1,5,1,3]=>[3,3,5,2,2,1]
[4,3,1,5,3,1]=>[2,4,3,2,4,1]
[4,3,3,1,1,5]=>[2,2,5,3,5,1]
[4,3,3,1,5,1]=>[4,2,4,2,5,1]
[4,3,3,5,1,1]=>[4,2,5,2,4,1]
[4,3,5,1,1,3]=>[3,5,3,2,2,1]
[4,3,5,1,3,1]=>[4,5,2,2,4,1]
[4,3,5,3,1,1]=>[2,3,4,2,4,1]
[4,5,1,1,3,3]=>[1,3,5,2,5,3]
[4,5,1,3,1,3]=>[1,5,3,2,5,3]
[4,5,1,3,3,1]=>[1,5,5,2,3,3]
[4,5,3,1,1,3]=>[1,4,4,3,3,2]
[4,5,3,1,3,1]=>[1,5,3,3,5,2]
[4,5,3,3,1,1]=>[1,3,5,3,5,2]
[5,1,1,3,3,4]=>[2,4,1,6,2,4]
[5,1,1,3,4,3]=>[2,5,1,5,4,2]
[5,1,1,4,3,3]=>[2,6,1,4,2,4]
[5,1,3,1,3,4]=>[4,2,1,6,2,4]
[5,1,3,1,4,3]=>[5,2,1,5,4,2]
[5,1,3,3,1,4]=>[5,5,1,2,4,2]
[5,1,3,3,4,1]=>[3,3,1,4,2,2]
[5,1,3,4,1,3]=>[4,6,1,2,2,4]
[5,1,3,4,3,1]=>[3,4,1,3,2,2]
[5,1,4,1,3,3]=>[6,2,1,4,2,4]
[5,1,4,3,1,3]=>[6,4,1,2,2,4]
[5,1,4,3,3,1]=>[4,3,1,3,2,2]
[5,3,1,1,3,4]=>[3,3,2,4,1,2]
[5,3,1,1,4,3]=>[5,5,4,2,1,2]
[5,3,1,3,1,4]=>[5,2,4,5,1,2]
[5,3,1,3,4,1]=>[4,2,2,6,1,4]
[5,3,1,4,1,3]=>[3,4,2,3,1,2]
[5,3,1,4,3,1]=>[3,6,2,2,1,3]
[5,3,3,1,1,4]=>[2,5,4,5,1,2]
[5,3,3,1,4,1]=>[2,4,2,6,1,4]
[5,3,3,4,1,1]=>[2,6,2,4,1,4]
[5,3,4,1,1,3]=>[4,3,2,3,1,2]
[5,3,4,1,3,1]=>[6,3,2,2,1,3]
[5,3,4,3,1,1]=>[6,2,2,4,1,4]
[5,4,1,1,3,3]=>[4,4,3,3,2,1]
[5,4,1,3,1,3]=>[5,3,3,5,2,1]
[5,4,1,3,3,1]=>[3,5,2,5,3,1]
[5,4,3,1,1,3]=>[3,5,3,5,2,1]
[5,4,3,1,3,1]=>[5,3,2,5,3,1]
[5,4,3,3,1,1]=>[5,5,2,3,3,1]
[1,1,3,3,4,6]=>[1,1,3,3,4,6]
[1,1,3,3,6,4]=>[1,1,5,3,3,6]
[1,1,3,4,3,6]=>[1,1,3,4,3,5]
[1,1,3,4,6,3]=>[1,1,4,6,3,3]
[1,1,3,6,3,4]=>[1,1,3,5,3,4]
[1,1,3,6,4,3]=>[1,1,3,6,4,3]
[1,1,4,3,3,6]=>[1,3,1,4,4,6]
[1,1,4,3,6,3]=>[1,3,1,5,4,4]
[1,1,4,6,3,3]=>[1,4,1,5,3,5]
[1,1,6,3,3,4]=>[1,3,4,4,1,5]
[1,1,6,3,4,3]=>[1,4,3,5,1,5]
[1,1,6,4,3,3]=>[1,3,4,5,1,4]
[1,3,1,3,4,6]=>[2,1,2,1,5,6]
[1,3,1,3,6,4]=>[2,1,5,1,2,6]
[1,3,1,4,3,6]=>[4,2,1,1,4,6]
[1,3,1,4,6,3]=>[5,4,1,1,2,5]
[1,3,1,6,3,4]=>[4,3,4,1,1,6]
[1,3,1,6,4,3]=>[5,4,3,1,1,5]
[1,3,3,1,4,6]=>[2,1,1,2,3,6]
[1,3,3,1,6,4]=>[2,1,3,2,1,6]
[1,3,3,4,1,6]=>[4,2,1,4,1,3]
[1,3,3,4,6,1]=>[5,4,2,5,1,1]
[1,3,3,6,1,4]=>[5,3,1,5,1,2]
[1,3,3,6,4,1]=>[5,4,1,5,2,1]
[1,3,4,1,3,6]=>[2,1,1,3,2,5]
[1,3,4,1,6,3]=>[5,3,1,2,1,5]
[1,3,4,3,1,6]=>[2,1,2,5,1,3]
[1,3,4,3,6,1]=>[4,2,4,6,1,1]
[1,3,4,6,1,3]=>[2,1,3,6,1,2]
[1,3,4,6,3,1]=>[2,1,5,6,2,1]
[1,3,6,1,3,4]=>[2,1,2,3,1,5]
[1,3,6,1,4,3]=>[4,2,1,3,1,4]
[1,3,6,3,1,4]=>[2,1,1,5,2,3]
[1,3,6,3,4,1]=>[4,2,1,6,4,1]
[1,3,6,4,1,3]=>[2,1,1,6,3,2]
[1,3,6,4,3,1]=>[2,1,2,6,5,1]
[1,4,1,3,3,6]=>[3,1,1,2,2,5]
[1,4,1,3,6,3]=>[3,1,1,4,2,2]
[1,4,1,6,3,3]=>[2,3,1,5,1,5]
[1,4,3,1,3,6]=>[4,1,2,1,2,5]
[1,4,3,1,6,3]=>[5,3,4,1,1,4]
[1,4,3,3,1,6]=>[4,1,2,2,1,3]
[1,4,3,3,6,1]=>[5,2,4,4,1,1]
[1,4,3,6,1,3]=>[4,1,2,3,1,2]
[1,4,3,6,3,1]=>[4,1,2,5,2,1]
[1,4,6,1,3,3]=>[6,1,4,1,2,2]
[1,4,6,3,1,3]=>[6,1,3,2,1,2]
[1,4,6,3,3,1]=>[6,1,5,2,2,1]
[1,6,1,3,3,4]=>[5,1,2,1,2,4]
[1,6,1,3,4,3]=>[6,1,2,1,4,2]
[1,6,1,4,3,3]=>[5,2,1,1,4,4]
[1,6,3,1,3,4]=>[3,1,2,2,1,4]
[1,6,3,1,4,3]=>[3,2,1,4,1,4]
[1,6,3,3,1,4]=>[5,1,1,2,2,3]
[1,6,3,3,4,1]=>[6,2,1,4,4,1]
[1,6,3,4,1,3]=>[6,1,1,2,3,2]
[1,6,3,4,3,1]=>[6,1,2,2,4,1]
[1,6,4,1,3,3]=>[4,1,1,3,2,2]
[1,6,4,3,1,3]=>[3,1,2,4,1,2]
[1,6,4,3,3,1]=>[5,1,2,4,2,1]
[3,1,1,3,4,6]=>[1,3,2,3,1,4]
[3,1,1,3,6,4]=>[2,3,1,3,1,4]
[3,1,1,4,3,6]=>[1,4,1,4,2,3]
[3,1,1,4,6,3]=>[2,5,1,5,4,1]
[3,1,1,6,3,4]=>[1,5,1,5,3,2]
[3,1,1,6,4,3]=>[1,5,2,5,4,1]
[3,1,3,1,4,6]=>[3,3,4,1,1,6]
[3,1,3,1,6,4]=>[5,3,3,1,1,6]
[3,1,3,4,1,6]=>[1,4,4,1,2,6]
[3,1,3,4,6,1]=>[1,5,2,1,4,5]
[3,1,3,6,1,4]=>[4,4,1,1,2,5]
[3,1,3,6,4,1]=>[2,5,1,1,4,5]
[3,1,4,1,3,6]=>[3,3,1,5,1,2]
[3,1,4,1,6,3]=>[4,4,1,5,2,1]
[3,1,4,3,1,6]=>[1,3,3,2,1,6]
[3,1,4,3,6,1]=>[1,5,1,2,3,5]
[3,1,4,6,1,3]=>[5,2,2,6,1,1]
[3,1,4,6,3,1]=>[2,3,1,4,1,3]
[3,1,6,1,3,4]=>[1,3,3,6,1,2]
[3,1,6,1,4,3]=>[1,4,4,6,2,1]
[3,1,6,3,1,4]=>[3,3,1,2,1,5]
[3,1,6,3,4,1]=>[1,4,1,3,2,4]
[3,1,6,4,1,3]=>[2,2,4,6,1,1]
[3,1,6,4,3,1]=>[1,3,2,4,1,3]
[3,3,1,1,4,6]=>[3,1,4,3,1,6]
[3,3,1,1,6,4]=>[4,1,3,3,1,6]
[3,3,1,4,1,6]=>[3,1,3,4,1,5]
[3,3,1,4,6,1]=>[4,1,3,6,1,3]
[3,3,1,6,1,4]=>[3,1,3,5,1,4]
[3,3,1,6,4,1]=>[3,1,4,6,1,3]
[3,3,4,1,1,6]=>[1,1,4,4,2,5]
[3,3,4,1,6,1]=>[1,1,4,5,2,4]
[3,3,4,6,1,1]=>[1,1,2,5,4,5]
[3,3,6,1,1,4]=>[4,1,1,4,3,5]
[3,3,6,1,4,1]=>[4,1,1,5,3,4]
[3,3,6,4,1,1]=>[3,1,1,5,4,5]
[3,4,1,1,3,6]=>[3,5,1,3,1,2]
[3,4,1,1,6,3]=>[4,5,1,4,2,1]
[3,4,1,3,1,6]=>[3,4,3,1,1,5]
[3,4,1,3,6,1]=>[4,5,1,1,2,4]
[3,4,1,6,1,3]=>[2,4,2,5,1,1]
[3,4,1,6,3,1]=>[3,5,1,2,1,3]
[3,4,3,1,1,6]=>[1,2,3,3,1,5]
[3,4,3,1,6,1]=>[1,2,3,5,1,3]
[3,4,3,6,1,1]=>[1,2,1,5,3,5]
[3,4,6,1,1,3]=>[4,6,2,2,1,1]
[3,4,6,1,3,1]=>[4,6,3,1,1,3]
[3,4,6,3,1,1]=>[2,4,1,3,1,3]
[3,6,1,1,3,4]=>[1,5,3,3,1,2]
[3,6,1,1,4,3]=>[1,5,4,4,2,1]
[3,6,1,3,1,4]=>[3,5,3,1,1,4]
[3,6,1,3,4,1]=>[1,5,4,1,2,4]
[3,6,1,4,1,3]=>[2,5,2,4,1,1]
[3,6,1,4,3,1]=>[1,5,3,2,1,3]
[3,6,3,1,1,4]=>[3,2,1,3,1,5]
[3,6,3,1,4,1]=>[3,2,1,5,1,3]
[3,6,3,4,1,1]=>[1,3,1,4,2,4]
[3,6,4,1,1,3]=>[2,6,4,2,1,1]
[3,6,4,1,3,1]=>[3,6,4,1,1,3]
[3,6,4,3,1,1]=>[1,4,2,3,1,3]
[4,1,1,3,3,6]=>[2,4,4,1,5,2]
[4,1,1,3,6,3]=>[2,2,5,1,5,4]
[4,1,1,6,3,3]=>[2,4,5,1,4,2]
[4,1,3,1,3,6]=>[4,4,2,1,6,2]
[4,1,3,1,6,3]=>[5,2,2,1,5,3]
[4,1,3,3,1,6]=>[5,2,5,1,2,3]
[4,1,3,3,6,1]=>[4,2,4,1,3,2]
[4,1,3,6,1,3]=>[4,2,3,1,4,2]
[4,1,3,6,3,1]=>[4,4,6,1,2,2]
[4,1,6,1,3,3]=>[3,2,4,1,4,2]
[4,1,6,3,1,3]=>[5,4,2,1,4,2]
[4,1,6,3,3,1]=>[5,4,4,1,2,2]
[4,3,1,1,3,6]=>[4,2,4,2,3,1]
[4,3,1,1,6,3]=>[5,2,5,3,2,1]
[4,3,1,3,1,6]=>[5,2,2,3,5,1]
[4,3,1,3,6,1]=>[4,4,2,2,6,1]
[4,3,1,6,1,3]=>[3,3,6,2,2,1]
[4,3,1,6,3,1]=>[4,2,3,2,4,1]
[4,3,3,1,1,6]=>[2,2,5,4,5,1]
[4,3,3,1,6,1]=>[2,4,4,2,5,1]
[4,3,3,6,1,1]=>[2,4,5,2,4,1]
[4,3,6,1,1,3]=>[5,3,3,2,2,1]
[4,3,6,1,3,1]=>[5,4,2,2,4,1]
[4,3,6,3,1,1]=>[3,2,4,2,4,1]
[4,6,1,1,3,3]=>[3,1,5,2,5,3]
[4,6,1,3,1,3]=>[4,1,4,3,3,2]
[4,6,1,3,3,1]=>[5,1,3,3,5,2]
[4,6,3,1,1,3]=>[5,1,3,2,5,3]
[4,6,3,1,3,1]=>[5,1,5,2,3,3]
[4,6,3,3,1,1]=>[3,1,5,3,5,2]
[6,1,1,3,3,4]=>[2,1,4,2,4,6]
[6,1,1,3,4,3]=>[2,1,5,2,4,4]
[6,1,1,4,3,3]=>[2,1,5,4,2,5]
[6,1,3,1,3,4]=>[4,1,2,2,4,6]
[6,1,3,1,4,3]=>[5,1,2,4,2,5]
[6,1,3,3,1,4]=>[3,1,3,2,2,4]
[6,1,3,3,4,1]=>[5,1,5,3,2,2]
[6,1,3,4,1,3]=>[3,1,4,2,2,3]
[6,1,3,4,3,1]=>[3,1,6,2,3,2]
[6,1,4,1,3,3]=>[5,1,2,2,4,4]
[6,1,4,3,1,3]=>[4,1,3,2,2,3]
[6,1,4,3,3,1]=>[6,1,3,2,3,2]
[6,3,1,1,3,4]=>[3,2,3,1,2,4]
[6,3,1,1,4,3]=>[5,3,5,1,2,2]
[6,3,1,3,1,4]=>[3,2,2,1,3,6]
[6,3,1,3,4,1]=>[5,4,2,1,2,5]
[6,3,1,4,1,3]=>[3,2,6,1,3,2]
[6,3,1,4,3,1]=>[3,2,4,1,2,3]
[6,3,3,1,1,4]=>[2,2,4,1,4,6]
[6,3,3,1,4,1]=>[2,4,5,1,2,5]
[6,3,3,4,1,1]=>[2,2,5,1,4,4]
[6,3,4,1,1,3]=>[6,2,3,1,3,2]
[6,3,4,1,3,1]=>[4,2,3,1,2,3]
[6,3,4,3,1,1]=>[5,2,2,1,3,3]
[6,4,1,1,3,3]=>[4,3,4,2,1,3]
[6,4,1,3,1,3]=>[3,2,5,3,1,5]
[6,4,1,3,3,1]=>[4,3,3,2,1,4]
[6,4,3,1,1,3]=>[5,2,3,3,1,5]
[6,4,3,1,3,1]=>[3,3,5,2,1,5]
[6,4,3,3,1,1]=>[4,2,4,3,1,3]
[1,1,3,3,5,5]=>[1,1,3,3,5,5]
[1,1,3,5,3,5]=>[1,1,4,3,3,4]
[1,1,3,5,5,3]=>[1,1,4,3,4,3]
[1,1,5,3,3,5]=>[1,3,4,1,4,3]
[1,1,5,3,5,3]=>[1,3,4,1,3,4]
[1,1,5,5,3,3]=>[1,3,3,1,4,4]
[1,3,1,3,5,5]=>[2,1,1,2,5,5]
[1,3,1,5,3,5]=>[4,3,1,1,4,3]
[1,3,1,5,5,3]=>[4,3,1,1,3,4]
[1,3,3,1,5,5]=>[2,1,2,1,3,3]
[1,3,3,5,1,5]=>[4,2,4,1,1,2]
[1,3,3,5,5,1]=>[4,2,4,1,2,1]
[1,3,5,1,3,5]=>[2,1,5,2,1,5]
[1,3,5,1,5,3]=>[4,2,2,1,1,4]
[1,3,5,3,1,5]=>[2,1,3,1,2,3]
[1,3,5,3,5,1]=>[4,2,2,1,4,1]
[1,3,5,5,1,3]=>[2,1,3,1,3,2]
[1,3,5,5,3,1]=>[2,1,5,2,5,1]
[1,5,1,3,3,5]=>[4,1,1,2,2,4]
[1,5,1,3,5,3]=>[4,1,1,2,4,2]
[1,5,1,5,3,3]=>[3,3,1,1,5,5]
[1,5,3,1,3,5]=>[5,1,2,2,1,5]
[1,5,3,1,5,3]=>[2,2,5,1,1,5]
[1,5,3,3,1,5]=>[3,1,2,1,2,3]
[1,5,3,3,5,1]=>[2,2,5,1,5,1]
[1,5,3,5,1,3]=>[3,1,2,1,3,2]
[1,5,3,5,3,1]=>[5,1,2,2,5,1]
[1,5,5,1,3,3]=>[3,1,3,1,2,2]
[1,5,5,3,1,3]=>[4,1,4,2,1,2]
[1,5,5,3,3,1]=>[4,1,4,2,2,1]
[3,1,1,3,5,5]=>[4,1,4,1,2,2]
[3,1,1,5,3,5]=>[3,1,3,2,1,2]
[3,1,1,5,5,3]=>[5,1,5,2,2,1]
[3,1,3,1,5,5]=>[3,3,1,5,1,5]
[3,1,3,5,1,5]=>[4,1,1,4,2,2]
[3,1,3,5,5,1]=>[5,1,1,2,2,5]
[3,1,5,1,3,5]=>[3,1,2,3,1,2]
[3,1,5,1,5,3]=>[5,1,2,5,2,1]
[3,1,5,3,1,5]=>[3,3,5,1,1,5]
[3,1,5,3,5,1]=>[5,1,2,1,2,5]
[3,1,5,5,1,3]=>[2,2,5,5,1,1]
[3,1,5,5,3,1]=>[3,1,2,2,1,3]
[3,3,1,1,5,5]=>[1,3,3,4,1,4]
[3,3,1,5,1,5]=>[1,3,4,3,1,4]
[3,3,1,5,5,1]=>[1,3,4,4,1,3]
[3,3,5,1,1,5]=>[1,1,4,4,3,3]
[3,3,5,1,5,1]=>[1,1,5,3,3,5]
[3,3,5,5,1,1]=>[1,1,3,5,3,5]
[3,5,1,1,3,5]=>[2,1,3,3,1,2]
[3,5,1,1,5,3]=>[2,1,5,5,2,1]
[3,5,1,3,1,5]=>[4,3,3,1,1,4]
[3,5,1,3,5,1]=>[2,1,5,1,2,5]
[3,5,1,5,1,3]=>[4,2,2,4,1,1]
[3,5,1,5,3,1]=>[2,1,3,2,1,3]
[3,5,3,1,1,5]=>[4,3,1,3,1,4]
[3,5,3,1,5,1]=>[4,3,1,4,1,3]
[3,5,3,5,1,1]=>[2,1,1,5,2,5]
[3,5,5,1,1,3]=>[4,2,4,2,1,1]
[3,5,5,1,3,1]=>[4,3,4,1,1,3]
[3,5,5,3,1,1]=>[2,1,2,3,1,3]
[5,1,1,3,3,5]=>[4,4,2,2,1,1]
[5,1,1,3,5,3]=>[4,4,3,1,1,3]
[5,1,1,5,3,3]=>[2,2,1,3,1,3]
[5,1,3,1,3,5]=>[5,2,2,5,1,1]
[5,1,3,1,5,3]=>[2,3,1,2,1,3]
[5,1,3,3,1,5]=>[2,5,1,5,2,1]
[5,1,3,3,5,1]=>[2,3,1,3,1,2]
[5,1,3,5,1,3]=>[2,5,1,1,2,5]
[5,1,3,5,3,1]=>[5,3,3,1,1,5]
[5,1,5,1,3,3]=>[3,1,1,5,3,5]
[5,1,5,3,1,3]=>[4,1,3,4,1,3]
[5,1,5,3,3,1]=>[4,1,3,3,1,4]
[5,3,1,1,3,5]=>[2,5,2,5,1,1]
[5,3,1,1,5,3]=>[3,2,1,2,1,3]
[5,3,1,3,1,5]=>[5,2,1,5,2,1]
[5,3,1,3,5,1]=>[3,2,1,3,1,2]
[5,3,1,5,1,3]=>[5,2,1,1,2,5]
[5,3,1,5,3,1]=>[3,5,3,1,1,5]
[5,3,3,1,1,5]=>[5,5,1,2,2,1]
[5,3,3,1,5,1]=>[3,3,1,2,1,2]
[5,3,3,5,1,1]=>[4,4,1,1,2,2]
[5,3,5,1,1,3]=>[5,1,1,3,3,5]
[5,3,5,1,3,1]=>[4,1,1,4,3,3]
[5,3,5,3,1,1]=>[3,1,3,5,1,5]
[5,5,1,1,3,3]=>[1,3,1,5,3,5]
[5,5,1,3,1,3]=>[1,5,1,3,3,5]
[5,5,1,3,3,1]=>[1,4,1,4,3,3]
[5,5,3,1,1,3]=>[1,4,3,4,1,3]
[5,5,3,1,3,1]=>[1,4,3,3,1,4]
[5,5,3,3,1,1]=>[1,3,3,5,1,5]
[1,1,3,3,5,6]=>[1,1,3,3,5,6]
[1,1,3,3,6,5]=>[1,1,3,5,3,6]
[1,1,3,5,3,6]=>[1,1,4,3,3,5]
[1,1,3,5,6,3]=>[1,1,6,4,3,3]
[1,1,3,6,3,5]=>[1,1,5,3,3,4]
[1,1,3,6,5,3]=>[1,1,6,3,4,3]
[1,1,5,3,3,6]=>[1,3,4,1,4,6]
[1,1,5,3,6,3]=>[1,4,5,1,3,5]
[1,1,5,6,3,3]=>[1,3,5,1,4,4]
[1,1,6,3,3,5]=>[1,3,4,4,1,6]
[1,1,6,3,5,3]=>[1,4,5,3,1,5]
[1,1,6,5,3,3]=>[1,3,5,4,1,4]
[1,3,1,3,5,6]=>[2,1,1,2,5,6]
[1,3,1,3,6,5]=>[2,1,1,5,2,6]
[1,3,1,5,3,6]=>[4,3,1,1,4,6]
[1,3,1,5,6,3]=>[5,4,1,1,3,5]
[1,3,1,6,3,5]=>[4,3,1,4,1,6]
[1,3,1,6,5,3]=>[5,4,1,3,1,5]
[1,3,3,1,5,6]=>[2,1,2,1,3,6]
[1,3,3,1,6,5]=>[2,1,2,3,1,6]
[1,3,3,5,1,6]=>[4,2,4,1,1,3]
[1,3,3,5,6,1]=>[5,4,5,2,1,1]
[1,3,3,6,1,5]=>[5,3,5,1,1,2]
[1,3,3,6,5,1]=>[5,4,5,1,2,1]
[1,3,5,1,3,6]=>[2,1,3,1,2,5]
[1,3,5,1,6,3]=>[5,3,2,1,1,5]
[1,3,5,3,1,6]=>[2,1,5,2,1,3]
[1,3,5,3,6,1]=>[4,2,6,4,1,1]
[1,3,5,6,1,3]=>[2,1,6,3,1,2]
[1,3,5,6,3,1]=>[2,1,6,5,2,1]
[1,3,6,1,3,5]=>[2,1,3,2,1,5]
[1,3,6,1,5,3]=>[4,2,3,1,1,4]
[1,3,6,3,1,5]=>[2,1,5,1,2,3]
[1,3,6,3,5,1]=>[4,2,6,1,4,1]
[1,3,6,5,1,3]=>[2,1,6,1,3,2]
[1,3,6,5,3,1]=>[2,1,6,2,5,1]
[1,5,1,3,3,6]=>[4,1,1,2,2,5]
[1,5,1,3,6,3]=>[6,1,1,4,2,2]
[1,5,1,6,3,3]=>[5,3,1,4,1,4]
[1,5,3,1,3,6]=>[3,1,2,1,2,5]
[1,5,3,1,6,3]=>[2,3,5,1,1,5]
[1,5,3,3,1,6]=>[5,1,2,2,1,3]
[1,5,3,3,6,1]=>[6,2,4,4,1,1]
[1,5,3,6,1,3]=>[6,1,2,3,1,2]
[1,5,3,6,3,1]=>[6,1,2,5,2,1]
[1,5,6,1,3,3]=>[3,1,4,1,2,2]
[1,5,6,3,1,3]=>[4,1,3,2,1,2]
[1,5,6,3,3,1]=>[4,1,5,2,2,1]
[1,6,1,3,3,5]=>[5,1,1,2,2,4]
[1,6,1,3,5,3]=>[6,1,1,2,4,2]
[1,6,1,5,3,3]=>[5,3,1,1,4,4]
[1,6,3,1,3,5]=>[3,1,2,2,1,5]
[1,6,3,1,5,3]=>[3,2,4,1,1,4]
[1,6,3,3,1,5]=>[5,1,2,1,2,3]
[1,6,3,3,5,1]=>[6,2,4,1,4,1]
[1,6,3,5,1,3]=>[6,1,2,1,3,2]
[1,6,3,5,3,1]=>[6,1,2,2,5,1]
[1,6,5,1,3,3]=>[4,1,3,1,2,2]
[1,6,5,3,1,3]=>[3,1,4,2,1,2]
[1,6,5,3,3,1]=>[5,1,4,2,2,1]
[3,1,1,3,5,6]=>[3,1,2,3,1,4]
[3,1,1,3,6,5]=>[3,2,1,3,1,4]
[3,1,1,5,3,6]=>[4,1,1,4,2,3]
[3,1,1,5,6,3]=>[5,2,1,5,4,1]
[3,1,1,6,3,5]=>[5,1,1,5,3,2]
[3,1,1,6,5,3]=>[5,1,2,5,4,1]
[3,1,3,1,5,6]=>[3,3,5,1,1,6]
[3,1,3,1,6,5]=>[3,5,3,1,1,6]
[3,1,3,5,1,6]=>[4,1,4,1,2,6]
[3,1,3,5,6,1]=>[5,1,2,1,4,5]
[3,1,3,6,1,5]=>[4,4,1,1,2,6]
[3,1,3,6,5,1]=>[5,2,1,1,4,5]
[3,1,5,1,3,6]=>[3,3,1,6,1,2]
[3,1,5,1,6,3]=>[4,4,1,6,2,1]
[3,1,5,3,1,6]=>[3,1,3,2,1,6]
[3,1,5,3,6,1]=>[5,1,1,2,3,5]
[3,1,5,6,1,3]=>[2,5,2,6,1,1]
[3,1,5,6,3,1]=>[3,2,1,4,1,3]
[3,1,6,1,3,5]=>[3,1,3,6,1,2]
[3,1,6,1,5,3]=>[4,1,4,6,2,1]
[3,1,6,3,1,5]=>[3,3,1,2,1,6]
[3,1,6,3,5,1]=>[4,1,1,3,2,4]
[3,1,6,5,1,3]=>[2,2,5,6,1,1]
[3,1,6,5,3,1]=>[3,1,2,4,1,3]
[3,3,1,1,5,6]=>[1,3,4,3,1,6]
[3,3,1,1,6,5]=>[1,4,3,3,1,6]
[3,3,1,5,1,6]=>[1,3,3,4,1,5]
[3,3,1,5,6,1]=>[1,4,3,6,1,3]
[3,3,1,6,1,5]=>[1,3,3,5,1,4]
[3,3,1,6,5,1]=>[1,3,4,6,1,3]
[3,3,5,1,1,6]=>[1,1,4,4,3,5]
[3,3,5,1,6,1]=>[1,1,4,5,3,4]
[3,3,5,6,1,1]=>[1,1,3,5,4,5]
[3,3,6,1,1,5]=>[1,4,1,4,3,5]
[3,3,6,1,5,1]=>[1,4,1,5,3,4]
[3,3,6,5,1,1]=>[1,3,1,5,4,5]
[3,5,1,1,3,6]=>[5,3,1,3,1,2]
[3,5,1,1,6,3]=>[5,4,1,4,2,1]
[3,5,1,3,1,6]=>[4,3,3,1,1,5]
[3,5,1,3,6,1]=>[5,4,1,1,2,4]
[3,5,1,6,1,3]=>[4,2,2,5,1,1]
[3,5,1,6,3,1]=>[5,3,1,2,1,3]
[3,5,3,1,1,6]=>[2,1,3,3,1,5]
[3,5,3,1,6,1]=>[2,1,3,5,1,3]
[3,5,3,6,1,1]=>[2,1,1,5,3,5]
[3,5,6,1,1,3]=>[6,4,2,2,1,1]
[3,5,6,1,3,1]=>[6,4,3,1,1,3]
[3,5,6,3,1,1]=>[4,2,1,3,1,3]
[3,6,1,1,3,5]=>[5,1,3,3,1,2]
[3,6,1,1,5,3]=>[5,1,4,4,2,1]
[3,6,1,3,1,5]=>[5,3,3,1,1,4]
[3,6,1,3,5,1]=>[5,1,4,1,2,4]
[3,6,1,5,1,3]=>[5,2,2,4,1,1]
[3,6,1,5,3,1]=>[5,1,3,2,1,3]
[3,6,3,1,1,5]=>[2,3,1,3,1,5]
[3,6,3,1,5,1]=>[2,3,1,5,1,3]
[3,6,3,5,1,1]=>[3,1,1,4,2,4]
[3,6,5,1,1,3]=>[6,2,4,2,1,1]
[3,6,5,1,3,1]=>[6,3,4,1,1,3]
[3,6,5,3,1,1]=>[4,1,2,3,1,3]
[5,1,1,3,3,6]=>[4,2,1,4,2,5]
[5,1,1,3,6,3]=>[4,2,1,5,2,4]
[5,1,1,6,3,3]=>[2,2,1,5,3,5]
[5,1,3,1,3,6]=>[4,4,1,2,2,5]
[5,1,3,1,6,3]=>[2,5,1,2,3,5]
[5,1,3,3,1,6]=>[2,4,1,4,2,3]
[5,1,3,3,6,1]=>[2,5,1,5,3,2]
[5,1,3,6,1,3]=>[2,4,1,3,2,4]
[5,1,3,6,3,1]=>[3,3,1,5,2,2]
[5,1,6,1,3,3]=>[2,3,1,4,2,4]
[5,1,6,3,1,3]=>[4,5,1,2,2,4]
[5,1,6,3,3,1]=>[3,5,1,3,2,2]
[5,3,1,1,3,6]=>[2,4,2,4,1,3]
[5,3,1,1,6,3]=>[2,5,3,5,1,2]
[5,3,1,3,1,6]=>[3,3,2,2,1,5]
[5,3,1,3,6,1]=>[2,5,3,2,1,5]
[5,3,1,6,1,3]=>[3,3,2,5,1,2]
[5,3,1,6,3,1]=>[2,4,2,3,1,4]
[5,3,3,1,1,6]=>[4,2,2,4,1,5]
[5,3,3,1,6,1]=>[2,2,3,5,1,5]
[5,3,3,6,1,1]=>[4,2,2,5,1,4]
[5,3,6,1,1,3]=>[3,5,2,3,1,2]
[5,3,6,1,3,1]=>[3,5,2,2,1,3]
[5,3,6,3,1,1]=>[2,3,2,4,1,4]
[5,6,1,1,3,3]=>[1,3,2,5,3,5]
[5,6,1,3,1,3]=>[1,5,2,3,3,5]
[5,6,1,3,3,1]=>[1,4,2,4,3,3]
[5,6,3,1,1,3]=>[1,4,3,4,2,3]
[5,6,3,1,3,1]=>[1,4,3,3,2,4]
[5,6,3,3,1,1]=>[1,3,3,5,2,5]
[6,1,1,3,3,5]=>[2,1,4,2,6,4]
[6,1,1,3,5,3]=>[2,1,6,2,4,4]
[6,1,1,5,3,3]=>[2,1,5,4,5,2]
[6,1,3,1,3,5]=>[4,1,2,2,6,4]
[6,1,3,1,5,3]=>[5,1,2,4,5,2]
[6,1,3,3,1,5]=>[3,1,3,2,4,2]
[6,1,3,3,5,1]=>[5,1,5,4,2,2]
[6,1,3,5,1,3]=>[3,1,6,2,2,3]
[6,1,3,5,3,1]=>[3,1,4,2,3,2]
[6,1,5,1,3,3]=>[6,1,2,2,4,4]
[6,1,5,3,1,3]=>[6,1,3,2,2,3]
[6,1,5,3,3,1]=>[4,1,3,2,3,2]
[6,3,1,1,3,5]=>[3,2,3,1,4,2]
[6,3,1,1,5,3]=>[5,4,5,1,2,2]
[6,3,1,3,1,5]=>[3,2,2,1,6,3]
[6,3,1,3,5,1]=>[5,4,2,1,5,2]
[6,3,1,5,1,3]=>[3,2,4,1,3,2]
[6,3,1,5,3,1]=>[3,2,6,1,2,3]
[6,3,3,1,1,5]=>[2,2,4,1,6,4]
[6,3,3,1,5,1]=>[2,4,5,1,5,2]
[6,3,3,5,1,1]=>[2,2,6,1,4,4]
[6,3,5,1,1,3]=>[4,2,3,1,3,2]
[6,3,5,1,3,1]=>[6,2,3,1,2,3]
[6,3,5,3,1,1]=>[6,2,2,1,3,3]
[6,5,1,1,3,3]=>[4,3,4,2,3,1]
[6,5,1,3,1,3]=>[4,3,3,2,4,1]
[6,5,1,3,3,1]=>[3,2,5,3,5,1]
[6,5,3,1,1,3]=>[3,3,5,2,5,1]
[6,5,3,1,3,1]=>[5,2,3,3,5,1]
[6,5,3,3,1,1]=>[4,2,4,3,3,1]
[1,1,3,4,4,4]=>[1,1,3,4,4,4]
[1,1,4,3,4,4]=>[1,3,1,4,3,3]
[1,1,4,4,3,4]=>[1,3,1,3,4,3]
[1,1,4,4,4,3]=>[1,3,1,3,3,4]
[1,3,1,4,4,4]=>[2,1,1,3,3,3]
[1,3,4,1,4,4]=>[4,2,1,1,2,2]
[1,3,4,4,1,4]=>[4,2,1,2,1,2]
[1,3,4,4,4,1]=>[4,2,1,2,2,1]
[1,4,1,3,4,4]=>[4,1,2,1,4,4]
[1,4,1,4,3,4]=>[2,2,1,1,5,2]
[1,4,1,4,4,3]=>[2,2,1,1,2,5]
[1,4,3,1,4,4]=>[3,1,1,2,3,3]
[1,4,3,4,1,4]=>[2,2,1,5,1,2]
[1,4,3,4,4,1]=>[2,2,1,5,2,1]
[1,4,4,1,3,4]=>[4,1,2,4,1,4]
[1,4,4,1,4,3]=>[2,2,1,2,1,5]
[1,4,4,3,1,4]=>[3,1,1,3,2,3]
[1,4,4,3,4,1]=>[2,2,1,2,5,1]
[1,4,4,4,1,3]=>[3,1,1,3,3,2]
[1,4,4,4,3,1]=>[4,1,2,4,4,1]
[3,1,1,4,4,4]=>[2,2,3,3,1,3]
[3,1,4,1,4,4]=>[2,3,2,3,1,3]
[3,1,4,4,1,4]=>[2,3,3,2,1,3]
[3,1,4,4,4,1]=>[2,3,3,3,1,2]
[3,4,1,1,4,4]=>[1,4,4,2,2,2]
[3,4,1,4,1,4]=>[1,4,2,4,2,2]
[3,4,1,4,4,1]=>[1,5,2,2,2,5]
[3,4,4,1,1,4]=>[1,2,4,4,2,2]
[3,4,4,1,4,1]=>[1,2,5,2,2,5]
[3,4,4,4,1,1]=>[1,2,2,5,2,5]
[4,1,1,3,4,4]=>[2,2,4,1,1,1]
[4,1,1,4,3,4]=>[5,5,1,4,1,1]
[4,1,1,4,4,3]=>[3,3,1,1,4,1]
[4,1,3,1,4,4]=>[2,4,2,1,1,1]
[4,1,3,4,1,4]=>[3,4,1,1,3,1]
[4,1,3,4,4,1]=>[3,6,1,1,1,3]
[4,1,4,1,3,4]=>[5,1,5,4,1,1]
[4,1,4,1,4,3]=>[3,1,3,1,4,1]
[4,1,4,3,1,4]=>[3,1,4,1,3,1]
[4,1,4,3,4,1]=>[3,1,6,1,1,3]
[4,1,4,4,1,3]=>[4,1,1,1,6,4]
[4,1,4,4,3,1]=>[5,1,1,4,5,1]
[4,3,1,1,4,4]=>[4,2,2,1,1,1]
[4,3,1,4,1,4]=>[4,3,1,1,3,1]
[4,3,1,4,4,1]=>[6,3,1,1,1,3]
[4,3,4,1,1,4]=>[4,1,3,1,3,1]
[4,3,4,1,4,1]=>[6,1,3,1,1,3]
[4,3,4,4,1,1]=>[6,1,1,1,4,4]
[4,4,1,1,3,4]=>[1,5,5,4,1,1]
[4,4,1,1,4,3]=>[1,3,3,1,4,1]
[4,4,1,3,1,4]=>[1,3,4,1,3,1]
[4,4,1,3,4,1]=>[1,3,6,1,1,3]
[4,4,1,4,1,3]=>[1,4,1,1,6,4]
[4,4,1,4,3,1]=>[1,5,1,4,5,1]
[4,4,3,1,1,4]=>[1,4,3,1,3,1]
[4,4,3,1,4,1]=>[1,6,3,1,1,3]
[4,4,3,4,1,1]=>[1,6,1,1,4,4]
[4,4,4,1,1,3]=>[1,1,4,1,6,4]
[4,4,4,1,3,1]=>[1,1,6,1,4,4]
[4,4,4,3,1,1]=>[1,1,5,4,5,1]
[1,1,3,4,4,5]=>[1,1,3,4,4,5]
[1,1,3,4,5,4]=>[1,1,3,4,5,4]
[1,1,3,5,4,4]=>[1,1,4,3,5,5]
[1,1,4,3,4,5]=>[1,3,1,3,4,5]
[1,1,4,3,5,4]=>[1,4,1,3,6,3]
[1,1,4,4,3,5]=>[1,3,1,4,3,6]
[1,1,4,4,5,3]=>[1,4,1,3,3,6]
[1,1,4,5,3,4]=>[1,3,1,4,6,3]
[1,1,4,5,4,3]=>[1,3,1,3,5,4]
[1,1,5,3,4,4]=>[1,3,4,1,5,5]
[1,1,5,4,3,4]=>[1,4,3,1,5,4]
[1,1,5,4,4,3]=>[1,4,3,1,4,5]
[1,3,1,4,4,5]=>[2,1,1,3,3,5]
[1,3,1,4,5,4]=>[2,1,1,3,5,3]
[1,3,1,5,4,4]=>[2,1,3,1,5,5]
[1,3,4,1,4,5]=>[4,2,1,2,1,5]
[1,3,4,1,5,4]=>[5,4,2,1,1,4]
[1,3,4,4,1,5]=>[4,2,1,1,2,3]
[1,3,4,4,5,1]=>[5,4,2,1,4,1]
[1,3,4,5,1,4]=>[4,2,1,1,3,2]
[1,3,4,5,4,1]=>[4,2,1,2,5,1]
[1,3,5,1,4,4]=>[6,3,1,1,2,2]
[1,3,5,4,1,4]=>[6,4,1,2,1,2]
[1,3,5,4,4,1]=>[6,4,1,2,2,1]
[1,4,1,3,4,5]=>[4,1,2,4,1,6]
[1,4,1,3,5,4]=>[5,1,4,2,1,5]
[1,4,1,4,3,5]=>[2,2,1,5,1,6]
[1,4,1,4,5,3]=>[2,5,1,2,1,6]
[1,4,1,5,3,4]=>[5,2,4,1,1,5]
[1,4,1,5,4,3]=>[4,4,2,1,1,6]
[1,4,3,1,4,5]=>[3,1,1,3,2,6]
[1,4,3,1,5,4]=>[5,1,3,1,2,5]
[1,4,3,4,1,5]=>[2,2,1,1,5,3]
[1,4,3,4,5,1]=>[4,4,2,1,6,1]
[1,4,3,5,1,4]=>[2,3,1,1,6,2]
[1,4,3,5,4,1]=>[2,5,1,2,6,1]
[1,4,4,1,3,5]=>[3,1,1,2,3,4]
[1,4,4,1,5,3]=>[2,3,1,1,2,6]
[1,4,4,3,1,5]=>[4,1,2,1,4,3]
[1,4,4,3,5,1]=>[5,2,4,1,5,1]
[1,4,4,5,1,3]=>[5,1,3,1,5,2]
[1,4,4,5,3,1]=>[5,1,4,2,5,1]
[1,4,5,1,3,4]=>[4,1,2,1,3,4]
[1,4,5,1,4,3]=>[2,2,1,1,3,5]
[1,4,5,3,1,4]=>[3,1,1,2,4,3]
[1,4,5,3,4,1]=>[2,2,1,5,6,1]
[1,4,5,4,1,3]=>[3,1,1,3,6,2]
[1,4,5,4,3,1]=>[4,1,2,4,6,1]
[1,5,1,3,4,4]=>[3,1,2,1,4,4]
[1,5,1,4,3,4]=>[3,2,1,1,4,2]
[1,5,1,4,4,3]=>[3,2,1,1,2,4]
[1,5,3,1,4,4]=>[4,1,1,2,3,3]
[1,5,3,4,1,4]=>[6,2,1,4,1,2]
[1,5,3,4,4,1]=>[6,2,1,4,2,1]
[1,5,4,1,3,4]=>[5,1,2,4,1,4]
[1,5,4,1,4,3]=>[5,2,1,2,1,4]
[1,5,4,3,1,4]=>[5,1,1,3,2,3]
[1,5,4,3,4,1]=>[5,2,1,2,4,1]
[1,5,4,4,1,3]=>[5,1,1,3,3,2]
[1,5,4,4,3,1]=>[5,1,2,4,4,1]
[3,1,1,4,4,5]=>[2,3,2,3,1,5]
[3,1,1,4,5,4]=>[3,2,2,5,1,5]
[3,1,1,5,4,4]=>[2,3,2,5,1,3]
[3,1,4,1,4,5]=>[2,3,3,2,1,5]
[3,1,4,1,5,4]=>[3,2,5,2,1,5]
[3,1,4,4,1,5]=>[2,2,3,3,1,4]
[3,1,4,4,5,1]=>[3,2,5,5,1,2]
[3,1,4,5,1,4]=>[2,2,3,4,1,3]
[3,1,4,5,4,1]=>[2,3,3,5,1,2]
[3,1,5,1,4,4]=>[2,2,4,3,1,3]
[3,1,5,4,1,4]=>[2,3,5,2,1,3]
[3,1,5,4,4,1]=>[2,3,5,3,1,2]
[3,4,1,1,4,5]=>[1,2,4,4,2,3]
[3,4,1,1,5,4]=>[1,2,5,5,3,2]
[3,4,1,4,1,5]=>[1,4,4,2,2,5]
[3,4,1,4,5,1]=>[1,2,5,2,3,5]
[3,4,1,5,1,4]=>[1,3,3,5,2,2]
[3,4,1,5,4,1]=>[1,2,4,3,2,4]
[3,4,4,1,1,5]=>[1,4,2,4,2,5]
[3,4,4,1,5,1]=>[1,4,2,5,2,4]
[3,4,4,5,1,1]=>[1,2,2,5,3,5]
[3,4,5,1,1,4]=>[1,3,5,3,2,2]
[3,4,5,1,4,1]=>[1,4,5,2,2,4]
[3,4,5,4,1,1]=>[1,2,3,4,2,4]
[3,5,1,1,4,4]=>[3,1,3,4,2,4]
[3,5,1,4,1,4]=>[3,1,4,3,2,4]
[3,5,1,4,4,1]=>[3,1,4,4,2,3]
[3,5,4,1,1,4]=>[2,1,4,4,3,3]
[3,5,4,1,4,1]=>[2,1,5,3,3,5]
[3,5,4,4,1,1]=>[2,1,3,5,3,5]
[4,1,1,3,4,5]=>[1,5,5,4,1,2]
[4,1,1,3,5,4]=>[1,5,5,3,2,1]
[4,1,1,4,3,5]=>[3,2,2,1,6,1]
[4,1,1,4,5,3]=>[1,3,3,1,4,2]
[4,1,1,5,3,4]=>[3,5,5,4,1,1]
[4,1,1,5,4,3]=>[1,4,4,2,3,1]
[4,1,3,1,4,5]=>[1,3,4,1,3,2]
[4,1,3,1,5,4]=>[1,4,3,2,4,1]
[4,1,3,4,1,5]=>[2,2,6,1,1,4]
[4,1,3,4,5,1]=>[1,4,6,2,1,4]
[4,1,3,5,1,4]=>[2,2,3,1,4,1]
[4,1,3,5,4,1]=>[1,3,6,1,2,3]
[4,1,4,1,3,5]=>[5,3,1,1,6,3]
[4,1,4,1,5,3]=>[3,3,1,1,6,4]
[4,1,4,3,1,5]=>[3,5,1,4,5,1]
[4,1,4,3,5,1]=>[4,4,1,3,5,1]
[4,1,4,5,1,3]=>[1,4,1,2,6,4]
[4,1,4,5,3,1]=>[1,5,1,4,5,2]
[4,1,5,1,3,4]=>[4,4,5,3,1,1]
[4,1,5,1,4,3]=>[2,2,4,1,3,1]
[4,1,5,3,1,4]=>[3,2,6,1,2,1]
[4,1,5,3,4,1]=>[5,2,6,1,1,2]
[4,1,5,4,1,3]=>[1,3,2,1,6,3]
[4,1,5,4,3,1]=>[1,5,2,3,5,1]
[4,3,1,1,4,5]=>[1,4,3,1,3,2]
[4,3,1,1,5,4]=>[1,3,4,2,4,1]
[4,3,1,4,1,5]=>[2,6,2,1,1,4]
[4,3,1,4,5,1]=>[1,6,4,2,1,4]
[4,3,1,5,1,4]=>[2,3,2,1,4,1]
[4,3,1,5,4,1]=>[1,6,3,1,2,3]
[4,3,4,1,1,5]=>[3,6,1,1,3,4]
[4,3,4,1,5,1]=>[3,5,1,1,4,3]
[4,3,4,5,1,1]=>[1,6,1,2,4,4]
[4,3,5,1,1,4]=>[2,3,4,1,2,1]
[4,3,5,1,4,1]=>[2,5,4,1,1,2]
[4,3,5,4,1,1]=>[1,6,2,1,3,3]
[4,4,1,1,3,5]=>[5,1,3,1,6,3]
[4,4,1,1,5,3]=>[3,1,3,1,6,4]
[4,4,1,3,1,5]=>[3,1,6,1,3,4]
[4,4,1,3,5,1]=>[3,1,5,1,4,3]
[4,4,1,5,1,3]=>[3,1,4,1,5,3]
[4,4,1,5,3,1]=>[5,1,6,1,3,3]
[4,4,3,1,1,5]=>[3,1,5,4,5,1]
[4,4,3,1,5,1]=>[4,1,4,3,5,1]
[4,4,3,5,1,1]=>[4,1,5,3,4,1]
[4,4,5,1,1,3]=>[1,1,4,2,6,4]
[4,4,5,1,3,1]=>[1,1,6,2,4,4]
[4,4,5,3,1,1]=>[1,1,5,4,5,2]
[4,5,1,1,3,4]=>[4,5,4,3,1,1]
[4,5,1,1,4,3]=>[2,4,2,1,3,1]
[4,5,1,3,1,4]=>[2,4,3,1,2,1]
[4,5,1,3,4,1]=>[2,4,5,1,1,2]
[4,5,1,4,1,3]=>[3,4,1,1,5,3]
[4,5,1,4,3,1]=>[4,5,1,3,4,1]
[4,5,3,1,1,4]=>[3,6,2,1,2,1]
[4,5,3,1,4,1]=>[5,6,2,1,1,2]
[4,5,3,4,1,1]=>[5,6,1,1,3,3]
[4,5,4,1,1,3]=>[1,2,3,1,6,3]
[4,5,4,1,3,1]=>[1,2,6,1,3,3]
[4,5,4,3,1,1]=>[1,2,5,3,5,1]
[5,1,1,3,4,4]=>[2,6,1,4,4,2]
[5,1,1,4,3,4]=>[2,5,1,5,2,4]
[5,1,1,4,4,3]=>[2,4,1,6,4,2]
[5,1,3,1,4,4]=>[6,2,1,4,4,2]
[5,1,3,4,1,4]=>[6,4,1,2,4,2]
[5,1,3,4,4,1]=>[3,4,1,4,2,2]
[5,1,4,1,3,4]=>[5,2,1,5,2,4]
[5,1,4,1,4,3]=>[4,2,1,6,4,2]
[5,1,4,3,1,4]=>[4,6,1,2,4,2]
[5,1,4,3,4,1]=>[4,3,1,4,2,2]
[5,1,4,4,1,3]=>[5,5,1,2,2,4]
[5,1,4,4,3,1]=>[4,4,1,3,2,2]
[5,3,1,1,4,4]=>[4,4,3,3,1,2]
[5,3,1,4,1,4]=>[5,3,3,5,1,2]
[5,3,1,4,4,1]=>[3,5,2,5,1,3]
[5,3,4,1,1,4]=>[3,5,3,5,1,2]
[5,3,4,1,4,1]=>[5,3,2,5,1,3]
[5,3,4,4,1,1]=>[5,5,2,3,1,3]
[5,4,1,1,3,4]=>[5,5,4,2,2,1]
[5,4,1,1,4,3]=>[3,3,2,4,2,1]
[5,4,1,3,1,4]=>[3,4,2,3,2,1]
[5,4,1,3,4,1]=>[3,6,2,2,3,1]
[5,4,1,4,1,3]=>[5,2,4,5,2,1]
[5,4,1,4,3,1]=>[4,2,2,6,4,1]
[5,4,3,1,1,4]=>[4,3,2,3,2,1]
[5,4,3,1,4,1]=>[6,3,2,2,3,1]
[5,4,3,4,1,1]=>[6,2,2,4,4,1]
[5,4,4,1,1,3]=>[2,5,4,5,2,1]
[5,4,4,1,3,1]=>[2,4,2,6,4,1]
[5,4,4,3,1,1]=>[2,6,2,4,4,1]
[1,1,3,4,4,6]=>[1,1,3,4,4,6]
[1,1,3,4,6,4]=>[1,1,3,5,4,4]
[1,1,3,6,4,4]=>[1,1,4,5,3,5]
[1,1,4,3,4,6]=>[1,3,1,4,3,5]
[1,1,4,3,6,4]=>[1,4,1,6,3,3]
[1,1,4,4,3,6]=>[1,3,1,3,4,6]
[1,1,4,4,6,3]=>[1,5,1,3,3,6]
[1,1,4,6,3,4]=>[1,3,1,6,4,3]
[1,1,4,6,4,3]=>[1,3,1,5,3,4]
[1,1,6,3,4,4]=>[1,4,3,5,1,4]
[1,1,6,4,3,4]=>[1,3,4,5,1,5]
[1,1,6,4,4,3]=>[1,4,3,4,1,5]
[1,3,1,4,4,6]=>[2,1,1,3,3,6]
[1,3,1,4,6,4]=>[2,1,1,5,3,3]
[1,3,1,6,4,4]=>[2,1,3,5,1,5]
[1,3,4,1,4,6]=>[4,2,1,1,2,5]
[1,3,4,1,6,4]=>[5,4,3,1,1,4]
[1,3,4,4,1,6]=>[4,2,1,2,1,3]
[1,3,4,4,6,1]=>[5,4,2,4,1,1]
[1,3,4,6,1,4]=>[4,2,1,3,1,2]
[1,3,4,6,4,1]=>[4,2,1,5,2,1]
[1,3,6,1,4,4]=>[6,4,1,1,2,2]
[1,3,6,4,1,4]=>[6,3,1,2,1,2]
[1,3,6,4,4,1]=>[6,5,1,2,2,1]
[1,4,1,3,4,6]=>[4,1,2,1,4,6]
[1,4,1,3,6,4]=>[5,1,4,1,2,5]
[1,4,1,4,3,6]=>[2,2,1,1,5,6]
[1,4,1,4,6,3]=>[2,5,1,1,2,6]
[1,4,1,6,3,4]=>[5,3,4,1,1,5]
[1,4,1,6,4,3]=>[4,4,3,1,1,6]
[1,4,3,1,4,6]=>[3,1,1,2,3,6]
[1,4,3,1,6,4]=>[5,1,3,2,1,5]
[1,4,3,4,1,6]=>[2,2,1,5,1,3]
[1,4,3,4,6,1]=>[4,4,2,6,1,1]
[1,4,3,6,1,4]=>[2,3,1,6,1,2]
[1,4,3,6,4,1]=>[2,5,1,6,2,1]
[1,4,4,1,3,6]=>[3,1,1,3,2,4]
[1,4,4,1,6,3]=>[2,3,1,2,1,6]
[1,4,4,3,1,6]=>[4,1,2,4,1,3]
[1,4,4,3,6,1]=>[5,2,4,5,1,1]
[1,4,4,6,1,3]=>[5,1,3,5,1,2]
[1,4,4,6,3,1]=>[5,1,4,5,2,1]
[1,4,6,1,3,4]=>[4,1,2,3,1,4]
[1,4,6,1,4,3]=>[2,2,1,3,1,5]
[1,4,6,3,1,4]=>[3,1,1,4,2,3]
[1,4,6,3,4,1]=>[2,2,1,6,5,1]
[1,4,6,4,1,3]=>[3,1,1,6,3,2]
[1,4,6,4,3,1]=>[4,1,2,6,4,1]
[1,6,1,3,4,4]=>[5,1,2,1,4,4]
[1,6,1,4,3,4]=>[6,2,1,1,4,2]
[1,6,1,4,4,3]=>[5,2,1,1,2,4]
[1,6,3,1,4,4]=>[5,1,1,2,3,3]
[1,6,3,4,1,4]=>[3,2,1,4,1,2]
[1,6,3,4,4,1]=>[5,2,1,4,2,1]
[1,6,4,1,3,4]=>[3,1,2,4,1,4]
[1,6,4,1,4,3]=>[3,2,1,2,1,4]
[1,6,4,3,1,4]=>[4,1,1,3,2,3]
[1,6,4,3,4,1]=>[6,2,1,2,4,1]
[1,6,4,4,1,3]=>[6,1,1,3,3,2]
[1,6,4,4,3,1]=>[6,1,2,4,4,1]
[3,1,1,4,4,6]=>[2,2,3,3,1,5]
[3,1,1,4,6,4]=>[4,2,2,5,1,5]
[3,1,1,6,4,4]=>[2,2,3,5,1,3]
[3,1,4,1,4,6]=>[2,3,3,2,1,6]
[3,1,4,1,6,4]=>[3,5,2,2,1,5]
[3,1,4,4,1,6]=>[2,3,2,3,1,4]
[3,1,4,4,6,1]=>[3,5,2,5,1,2]
[3,1,4,6,1,4]=>[2,3,2,4,1,3]
[3,1,4,6,4,1]=>[2,3,3,6,1,2]
[3,1,6,1,4,4]=>[2,4,2,3,1,3]
[3,1,6,4,1,4]=>[2,5,3,2,1,3]
[3,1,6,4,4,1]=>[2,5,3,3,1,2]
[3,4,1,1,4,6]=>[1,4,2,4,2,3]
[3,4,1,1,6,4]=>[1,5,2,5,3,2]
[3,4,1,4,1,6]=>[1,4,4,2,2,6]
[3,4,1,4,6,1]=>[1,5,2,2,3,5]
[3,4,1,6,1,4]=>[1,3,3,6,2,2]
[3,4,1,6,4,1]=>[1,4,2,3,2,4]
[3,4,4,1,1,6]=>[1,2,4,4,2,5]
[3,4,4,1,6,1]=>[1,2,4,5,2,4]
[3,4,4,6,1,1]=>[1,2,2,5,4,5]
[3,4,6,1,1,4]=>[1,5,3,3,2,2]
[3,4,6,1,4,1]=>[1,5,4,2,2,4]
[3,4,6,4,1,1]=>[1,3,2,4,2,4]
[3,6,1,1,4,4]=>[3,3,1,4,2,4]
[3,6,1,4,1,4]=>[2,4,1,4,3,3]
[3,6,1,4,4,1]=>[2,5,1,3,3,5]
[3,6,4,1,1,4]=>[3,4,1,3,2,4]
[3,6,4,1,4,1]=>[3,4,1,4,2,3]
[3,6,4,4,1,1]=>[2,3,1,5,3,5]
[4,1,1,3,4,6]=>[5,1,5,4,1,2]
[4,1,1,3,6,4]=>[5,1,5,3,2,1]
[4,1,1,4,3,6]=>[2,3,2,1,6,1]
[4,1,1,4,6,3]=>[3,1,3,1,4,2]
[4,1,1,6,3,4]=>[5,3,5,4,1,1]
[4,1,1,6,4,3]=>[4,1,4,2,3,1]
[4,1,3,1,4,6]=>[3,1,4,1,3,2]
[4,1,3,1,6,4]=>[4,1,3,2,4,1]
[4,1,3,4,1,6]=>[2,2,6,1,1,5]
[4,1,3,4,6,1]=>[4,1,6,2,1,4]
[4,1,3,6,1,4]=>[2,2,3,1,5,1]
[4,1,3,6,4,1]=>[3,1,6,1,2,3]
[4,1,4,1,3,6]=>[3,5,1,1,6,3]
[4,1,4,1,6,3]=>[3,3,1,1,6,5]
[4,1,4,3,1,6]=>[5,3,1,4,5,1]
[4,1,4,3,6,1]=>[4,4,1,3,6,1]
[4,1,4,6,1,3]=>[4,1,1,2,6,4]
[4,1,4,6,3,1]=>[5,1,1,4,5,2]
[4,1,6,1,3,4]=>[4,4,6,3,1,1]
[4,1,6,1,4,3]=>[2,2,5,1,3,1]
[4,1,6,3,1,4]=>[2,3,6,1,2,1]
[4,1,6,3,4,1]=>[2,5,6,1,1,2]
[4,1,6,4,1,3]=>[3,1,2,1,6,3]
[4,1,6,4,3,1]=>[5,1,2,3,5,1]
[4,3,1,1,4,6]=>[4,1,3,1,3,2]
[4,3,1,1,6,4]=>[3,1,4,2,4,1]
[4,3,1,4,1,6]=>[6,2,2,1,1,4]
[4,3,1,4,6,1]=>[6,1,4,2,1,4]
[4,3,1,6,1,4]=>[3,2,2,1,4,1]
[4,3,1,6,4,1]=>[6,1,3,1,2,3]
[4,3,4,1,1,6]=>[6,3,1,1,3,4]
[4,3,4,1,6,1]=>[5,3,1,1,4,3]
[4,3,4,6,1,1]=>[6,1,1,2,4,4]
[4,3,6,1,1,4]=>[3,2,4,1,2,1]
[4,3,6,1,4,1]=>[5,2,4,1,1,2]
[4,3,6,4,1,1]=>[6,1,2,1,3,3]
[4,4,1,1,3,6]=>[1,5,3,1,6,3]
[4,4,1,1,6,3]=>[1,3,3,1,6,4]
[4,4,1,3,1,6]=>[1,3,6,1,3,4]
[4,4,1,3,6,1]=>[1,3,5,1,4,3]
[4,4,1,6,1,3]=>[1,3,4,1,5,3]
[4,4,1,6,3,1]=>[1,5,6,1,3,3]
[4,4,3,1,1,6]=>[1,3,5,4,5,1]
[4,4,3,1,6,1]=>[1,4,4,3,5,1]
[4,4,3,6,1,1]=>[1,4,5,3,4,1]
[4,4,6,1,1,3]=>[1,1,4,3,6,4]
[4,4,6,1,3,1]=>[1,1,6,3,4,4]
[4,4,6,3,1,1]=>[1,1,5,4,5,3]
[4,6,1,1,3,4]=>[5,4,4,3,1,1]
[4,6,1,1,4,3]=>[4,2,2,1,3,1]
[4,6,1,3,1,4]=>[4,2,3,1,2,1]
[4,6,1,3,4,1]=>[4,2,5,1,1,2]
[4,6,1,4,1,3]=>[4,3,1,1,5,3]
[4,6,1,4,3,1]=>[5,4,1,3,4,1]
[4,6,3,1,1,4]=>[6,3,2,1,2,1]
[4,6,3,1,4,1]=>[6,5,2,1,1,2]
[4,6,3,4,1,1]=>[6,5,1,1,3,3]
[4,6,4,1,1,3]=>[2,1,3,1,6,3]
[4,6,4,1,3,1]=>[2,1,6,1,3,3]
[4,6,4,3,1,1]=>[2,1,5,3,5,1]
[6,1,1,3,4,4]=>[2,1,5,2,4,5]
[6,1,1,4,3,4]=>[2,1,5,4,2,4]
[6,1,1,4,4,3]=>[2,1,4,4,2,6]
[6,1,3,1,4,4]=>[5,1,2,4,2,4]
[6,1,3,4,1,4]=>[3,1,4,2,2,4]
[6,1,3,4,4,1]=>[6,1,3,3,2,2]
[6,1,4,1,3,4]=>[5,1,2,2,4,5]
[6,1,4,1,4,3]=>[4,1,2,4,2,6]
[6,1,4,3,1,4]=>[4,1,3,2,2,4]
[6,1,4,3,4,1]=>[3,1,6,3,2,2]
[6,1,4,4,1,3]=>[4,1,4,2,2,3]
[6,1,4,4,3,1]=>[5,1,5,2,3,2]
[6,3,1,1,4,4]=>[4,3,4,1,2,3]
[6,3,1,4,1,4]=>[3,2,5,1,3,5]
[6,3,1,4,4,1]=>[4,3,3,1,2,4]
[6,3,4,1,1,4]=>[5,2,3,1,3,5]
[6,3,4,1,4,1]=>[3,3,5,1,2,5]
[6,3,4,4,1,1]=>[4,2,4,1,3,3]
[6,4,1,1,3,4]=>[5,3,5,2,1,2]
[6,4,1,1,4,3]=>[3,2,3,2,1,4]
[6,4,1,3,1,4]=>[3,2,6,3,1,2]
[6,4,1,3,4,1]=>[3,2,4,2,1,3]
[6,4,1,4,1,3]=>[3,2,2,3,1,6]
[6,4,1,4,3,1]=>[5,4,2,2,1,5]
[6,4,3,1,1,4]=>[6,2,3,3,1,2]
[6,4,3,1,4,1]=>[4,2,3,2,1,3]
[6,4,3,4,1,1]=>[5,2,2,3,1,3]
[6,4,4,1,1,3]=>[2,2,4,4,1,6]
[6,4,4,1,3,1]=>[2,4,5,2,1,5]
[6,4,4,3,1,1]=>[2,2,5,4,1,4]
[1,1,3,4,5,5]=>[1,1,3,4,5,5]
[1,1,3,5,4,5]=>[1,1,4,3,5,4]
[1,1,3,5,5,4]=>[1,1,4,3,4,5]
[1,1,4,3,5,5]=>[1,3,1,4,5,5]
[1,1,4,5,3,5]=>[1,4,1,3,5,4]
[1,1,4,5,5,3]=>[1,4,1,3,4,5]
[1,1,5,3,4,5]=>[1,4,3,1,6,3]
[1,1,5,3,5,4]=>[1,3,3,1,4,5]
[1,1,5,4,3,5]=>[1,3,4,1,6,3]
[1,1,5,4,5,3]=>[1,3,3,1,5,4]
[1,1,5,5,3,4]=>[1,3,4,1,3,6]
[1,1,5,5,4,3]=>[1,4,3,1,3,6]
[1,3,1,4,5,5]=>[2,1,1,3,5,5]
[1,3,1,5,4,5]=>[2,1,3,1,5,3]
[1,3,1,5,5,4]=>[2,1,3,1,3,5]
[1,3,4,1,5,5]=>[4,2,1,1,3,3]
[1,3,4,5,1,5]=>[6,4,2,1,1,2]
[1,3,4,5,5,1]=>[6,4,2,1,2,1]
[1,3,5,1,4,5]=>[5,4,1,2,1,4]
[1,3,5,1,5,4]=>[4,2,2,1,1,5]
[1,3,5,4,1,5]=>[5,3,1,1,2,3]
[1,3,5,4,5,1]=>[4,2,2,1,5,1]
[1,3,5,5,1,4]=>[5,3,1,1,3,2]
[1,3,5,5,4,1]=>[5,4,1,2,4,1]
[1,4,1,3,5,5]=>[3,1,1,2,4,4]
[1,4,1,5,3,5]=>[2,3,1,1,5,3]
[1,4,1,5,5,3]=>[2,3,1,1,3,5]
[1,4,3,1,5,5]=>[4,1,2,1,3,3]
[1,4,3,5,1,5]=>[6,2,4,1,1,2]
[1,4,3,5,5,1]=>[6,2,4,1,2,1]
[1,4,5,1,3,5]=>[5,1,4,2,1,4]
[1,4,5,1,5,3]=>[5,2,2,1,1,4]
[1,4,5,3,1,5]=>[5,1,3,1,2,3]
[1,4,5,3,5,1]=>[5,2,2,1,4,1]
[1,4,5,5,1,3]=>[5,1,3,1,3,2]
[1,4,5,5,3,1]=>[5,1,4,2,4,1]
[1,5,1,3,4,5]=>[5,1,2,4,1,5]
[1,5,1,3,5,4]=>[4,1,4,2,1,6]
[1,5,1,4,3,5]=>[5,2,1,4,1,5]
[1,5,1,4,5,3]=>[4,4,1,2,1,6]
[1,5,1,5,3,4]=>[2,2,5,1,1,6]
[1,5,1,5,4,3]=>[2,5,2,1,1,6]
[1,5,3,1,4,5]=>[5,1,1,3,2,5]
[1,5,3,1,5,4]=>[3,1,3,1,2,6]
[1,5,3,4,1,5]=>[3,2,1,1,4,3]
[1,5,3,4,5,1]=>[2,5,2,1,6,1]
[1,5,3,5,1,4]=>[3,3,1,1,6,2]
[1,5,3,5,4,1]=>[4,4,1,2,6,1]
[1,5,4,1,3,5]=>[4,1,1,2,3,4]
[1,5,4,1,5,3]=>[3,3,1,1,2,6]
[1,5,4,3,1,5]=>[3,1,2,1,4,3]
[1,5,4,3,5,1]=>[2,2,5,1,6,1]
[1,5,4,5,1,3]=>[3,1,3,1,6,2]
[1,5,4,5,3,1]=>[4,1,4,2,6,1]
[1,5,5,1,3,4]=>[3,1,2,1,3,4]
[1,5,5,1,4,3]=>[3,2,1,1,3,4]
[1,5,5,3,1,4]=>[4,1,1,2,4,3]
[1,5,5,3,4,1]=>[5,2,1,4,5,1]
[1,5,5,4,1,3]=>[5,1,1,3,5,2]
[1,5,5,4,3,1]=>[5,1,2,4,5,1]
[3,1,1,4,5,5]=>[3,2,2,5,1,3]
[3,1,1,5,4,5]=>[2,3,2,5,1,5]
[3,1,1,5,5,4]=>[3,2,2,3,1,5]
[3,1,4,1,5,5]=>[2,2,3,4,1,4]
[3,1,4,5,1,5]=>[3,2,5,2,1,3]
[3,1,4,5,5,1]=>[3,2,5,3,1,2]
[3,1,5,1,4,5]=>[2,3,5,2,1,5]
[3,1,5,1,5,4]=>[3,2,3,2,1,5]
[3,1,5,4,1,5]=>[2,2,4,3,1,4]
[3,1,5,4,5,1]=>[3,2,3,5,1,2]
[3,1,5,5,1,4]=>[2,2,4,4,1,3]
[3,1,5,5,4,1]=>[2,3,5,5,1,2]
[3,4,1,1,5,5]=>[1,3,3,4,2,4]
[3,4,1,5,1,5]=>[1,3,4,3,2,4]
[3,4,1,5,5,1]=>[1,3,4,4,2,3]
[3,4,5,1,1,5]=>[1,2,4,4,3,3]
[3,4,5,1,5,1]=>[1,2,5,3,3,5]
[3,4,5,5,1,1]=>[1,2,3,5,3,5]
[3,5,1,1,4,5]=>[2,1,5,5,3,2]
[3,5,1,1,5,4]=>[2,1,4,4,2,3]
[3,5,1,4,1,5]=>[3,1,3,5,2,2]
[3,5,1,4,5,1]=>[2,1,4,3,2,4]
[3,5,1,5,1,4]=>[4,1,4,2,2,5]
[3,5,1,5,4,1]=>[2,1,5,2,3,5]
[3,5,4,1,1,5]=>[3,1,5,3,2,2]
[3,5,4,1,5,1]=>[4,1,5,2,2,4]
[3,5,4,5,1,1]=>[2,1,3,4,2,4]
[3,5,5,1,1,4]=>[4,1,2,4,2,5]
[3,5,5,1,4,1]=>[4,1,2,5,2,4]
[3,5,5,4,1,1]=>[2,1,2,5,3,5]
[4,1,1,3,5,5]=>[2,2,6,1,3,3]
[4,1,1,5,3,5]=>[4,2,5,1,5,2]
[4,1,1,5,5,3]=>[2,2,3,1,6,3]
[4,1,3,1,5,5]=>[2,6,2,1,3,3]
[4,1,3,5,1,5]=>[2,6,3,1,2,3]
[4,1,3,5,5,1]=>[2,4,3,1,3,2]
[4,1,5,1,3,5]=>[4,5,2,1,5,2]
[4,1,5,1,5,3]=>[2,3,2,1,6,3]
[4,1,5,3,1,5]=>[2,3,6,1,2,3]
[4,1,5,3,5,1]=>[2,3,4,1,3,2]
[4,1,5,5,1,3]=>[2,3,3,1,4,2]
[4,1,5,5,3,1]=>[4,5,5,1,2,2]
[4,3,1,1,5,5]=>[2,4,4,3,3,1]
[4,3,1,5,1,5]=>[2,5,3,3,5,1]
[4,3,1,5,5,1]=>[3,3,4,2,4,1]
[4,3,5,1,1,5]=>[2,3,5,3,5,1]
[4,3,5,1,5,1]=>[3,4,3,2,4,1]
[4,3,5,5,1,1]=>[3,4,4,2,3,1]
[4,5,1,1,3,5]=>[1,5,5,4,2,2]
[4,5,1,1,5,3]=>[1,3,3,2,4,2]
[4,5,1,3,1,5]=>[1,3,4,2,3,2]
[4,5,1,3,5,1]=>[1,3,6,2,2,3]
[4,5,1,5,1,3]=>[1,4,2,2,6,4]
[4,5,1,5,3,1]=>[1,5,2,4,5,2]
[4,5,3,1,1,5]=>[1,4,3,2,3,2]
[4,5,3,1,5,1]=>[1,6,3,2,2,3]
[4,5,3,5,1,1]=>[1,6,2,2,4,4]
[4,5,5,1,1,3]=>[1,2,4,2,6,4]
[4,5,5,1,3,1]=>[1,2,6,2,4,4]
[4,5,5,3,1,1]=>[1,2,5,4,5,2]
[5,1,1,3,4,5]=>[4,4,2,3,1,1]
[5,1,1,3,5,4]=>[5,5,4,1,3,1]
[5,1,1,4,3,5]=>[5,5,3,2,1,1]
[5,1,1,4,5,3]=>[5,5,4,1,1,3]
[5,1,1,5,3,4]=>[2,2,1,6,1,3]
[5,1,1,5,4,3]=>[2,2,1,6,3,1]
[5,1,3,1,4,5]=>[5,2,3,5,1,1]
[5,1,3,1,5,4]=>[2,6,1,2,3,1]
[5,1,3,4,1,5]=>[2,5,1,3,2,1]
[5,1,3,4,5,1]=>[2,3,1,5,1,2]
[5,1,3,5,1,4]=>[2,6,1,1,5,2]
[5,1,3,5,4,1]=>[4,6,3,1,4,1]
[5,1,4,1,3,5]=>[4,3,2,4,1,1]
[5,1,4,1,5,3]=>[2,6,1,2,1,3]
[5,1,4,3,1,5]=>[2,3,1,5,2,1]
[5,1,4,3,5,1]=>[2,5,1,3,1,2]
[5,1,4,5,1,3]=>[2,6,1,1,2,5]
[5,1,4,5,3,1]=>[4,6,3,1,1,4]
[5,1,5,1,3,4]=>[3,1,1,6,3,5]
[5,1,5,1,4,3]=>[3,1,1,6,5,3]
[5,1,5,3,1,4]=>[5,1,4,5,1,3]
[5,1,5,3,4,1]=>[4,1,3,6,1,4]
[5,1,5,4,1,3]=>[5,1,4,5,3,1]
[5,1,5,4,3,1]=>[4,1,3,6,4,1]
[5,3,1,1,4,5]=>[2,5,3,5,1,1]
[5,3,1,1,5,4]=>[6,2,1,2,3,1]
[5,3,1,4,1,5]=>[5,2,1,3,2,1]
[5,3,1,4,5,1]=>[3,2,1,5,1,2]
[5,3,1,5,1,4]=>[6,2,1,1,5,2]
[5,3,1,5,4,1]=>[6,4,3,1,4,1]
[5,3,4,1,1,5]=>[5,3,1,2,2,1]
[5,3,4,1,5,1]=>[3,5,1,2,1,2]
[5,3,4,5,1,1]=>[4,5,1,1,2,2]
[5,3,5,1,1,4]=>[6,1,1,3,5,3]
[5,3,5,1,4,1]=>[4,1,1,5,3,3]
[5,3,5,4,1,1]=>[6,1,3,4,4,1]
[5,4,1,1,3,5]=>[3,4,2,4,1,1]
[5,4,1,1,5,3]=>[6,2,1,2,1,3]
[5,4,1,3,1,5]=>[3,2,1,5,2,1]
[5,4,1,3,5,1]=>[5,2,1,3,1,2]
[5,4,1,5,1,3]=>[6,2,1,1,2,5]
[5,4,1,5,3,1]=>[6,4,3,1,1,4]
[5,4,3,1,1,5]=>[3,5,1,2,2,1]
[5,4,3,1,5,1]=>[5,3,1,2,1,2]
[5,4,3,5,1,1]=>[5,4,1,1,2,2]
[5,4,5,1,1,3]=>[6,1,1,3,3,5]
[5,4,5,1,3,1]=>[5,1,1,4,3,3]
[5,4,5,3,1,1]=>[6,1,3,4,1,4]
[5,5,1,1,3,4]=>[1,3,1,6,3,5]
[5,5,1,1,4,3]=>[1,3,1,6,5,3]
[5,5,1,3,1,4]=>[1,6,1,3,5,3]
[5,5,1,3,4,1]=>[1,4,1,5,3,3]
[5,5,1,4,1,3]=>[1,6,1,3,3,5]
[5,5,1,4,3,1]=>[1,5,1,4,3,3]
[5,5,3,1,1,4]=>[1,5,4,5,1,3]
[5,5,3,1,4,1]=>[1,4,3,6,1,4]
[5,5,3,4,1,1]=>[1,6,3,4,1,4]
[5,5,4,1,1,3]=>[1,5,4,5,3,1]
[5,5,4,1,3,1]=>[1,4,3,6,4,1]
[5,5,4,3,1,1]=>[1,6,3,4,4,1]
[1,1,3,4,5,6]=>[1,1,3,4,5,6]
[1,1,3,4,6,5]=>[1,1,3,5,4,6]
[1,1,3,5,4,6]=>[1,1,4,3,5,6]
[1,1,3,5,6,4]=>[1,1,5,3,4,6]
[1,1,3,6,4,5]=>[1,1,4,5,3,6]
[1,1,3,6,5,4]=>[1,1,5,4,3,6]
[1,1,4,3,5,6]=>[1,3,1,4,5,6]
[1,1,4,3,6,5]=>[1,3,1,5,4,6]
[1,1,4,5,3,6]=>[1,4,1,3,5,6]
[1,1,4,5,6,3]=>[1,5,1,3,4,6]
[1,1,4,6,3,5]=>[1,4,1,5,3,6]
[1,1,4,6,5,3]=>[1,5,1,4,3,6]
[1,1,5,3,4,6]=>[1,3,4,1,5,6]
[1,1,5,3,6,4]=>[1,3,5,1,4,6]
[1,1,5,4,3,6]=>[1,4,3,1,5,6]
[1,1,5,4,6,3]=>[1,5,3,1,4,6]
[1,1,5,6,3,4]=>[1,4,5,1,3,6]
[1,1,5,6,4,3]=>[1,5,4,1,3,6]
[1,1,6,3,4,5]=>[1,3,4,5,1,6]
[1,1,6,3,5,4]=>[1,3,5,4,1,6]
[1,1,6,4,3,5]=>[1,4,3,5,1,6]
[1,1,6,4,5,3]=>[1,5,3,4,1,6]
[1,1,6,5,3,4]=>[1,4,5,3,1,6]
[1,1,6,5,4,3]=>[1,5,4,3,1,6]
[1,3,1,4,5,6]=>[2,1,1,3,5,6]
[1,3,1,4,6,5]=>[2,1,1,5,3,6]
[1,3,1,5,4,6]=>[2,1,3,1,5,6]
[1,3,1,5,6,4]=>[2,1,5,1,3,6]
[1,3,1,6,4,5]=>[2,1,3,5,1,6]
[1,3,1,6,5,4]=>[2,1,5,3,1,6]
[1,3,4,1,5,6]=>[4,2,1,1,3,5]
[1,3,4,1,6,5]=>[4,2,1,3,1,5]
[1,3,4,5,1,6]=>[6,4,2,1,1,3]
[1,3,4,5,6,1]=>[6,5,4,2,1,1]
[1,3,4,6,1,5]=>[6,5,3,1,1,2]
[1,3,4,6,5,1]=>[6,5,4,1,2,1]
[1,3,5,1,4,6]=>[5,3,1,1,2,4]
[1,3,5,1,6,4]=>[4,2,3,1,1,5]
[1,3,5,4,1,6]=>[6,4,1,2,1,3]
[1,3,5,4,6,1]=>[6,5,2,4,1,1]
[1,3,5,6,1,4]=>[6,5,1,3,1,2]
[1,3,5,6,4,1]=>[6,5,1,4,2,1]
[1,3,6,1,4,5]=>[5,3,1,2,1,4]
[1,3,6,1,5,4]=>[5,3,2,1,1,4]
[1,3,6,4,1,5]=>[6,4,1,1,2,3]
[1,3,6,4,5,1]=>[6,5,2,1,4,1]
[1,3,6,5,1,4]=>[6,5,1,1,3,2]
[1,3,6,5,4,1]=>[6,5,1,2,4,1]
[1,4,1,3,5,6]=>[3,1,1,2,4,6]
[1,4,1,3,6,5]=>[3,1,1,4,2,6]
[1,4,1,5,3,6]=>[2,3,1,1,5,6]
[1,4,1,5,6,3]=>[2,5,1,1,3,6]
[1,4,1,6,3,5]=>[2,3,1,5,1,6]
[1,4,1,6,5,3]=>[2,5,1,3,1,6]
[1,4,3,1,5,6]=>[4,1,2,1,3,5]
[1,4,3,1,6,5]=>[4,1,2,3,1,5]
[1,4,3,5,1,6]=>[6,2,4,1,1,3]
[1,4,3,5,6,1]=>[6,4,5,2,1,1]
[1,4,3,6,1,5]=>[6,3,5,1,1,2]
[1,4,3,6,5,1]=>[6,4,5,1,2,1]
[1,4,5,1,3,6]=>[5,1,3,1,2,4]
[1,4,5,1,6,3]=>[4,3,2,1,1,5]
[1,4,5,3,1,6]=>[6,1,4,2,1,3]
[1,4,5,3,6,1]=>[6,2,5,4,1,1]
[1,4,5,6,1,3]=>[6,1,5,3,1,2]
[1,4,5,6,3,1]=>[6,1,5,4,2,1]
[1,4,6,1,3,5]=>[5,1,3,2,1,4]
[1,4,6,1,5,3]=>[5,2,3,1,1,4]
[1,4,6,3,1,5]=>[6,1,4,1,2,3]
[1,4,6,3,5,1]=>[6,2,5,1,4,1]
[1,4,6,5,1,3]=>[6,1,5,1,3,2]
[1,4,6,5,3,1]=>[6,1,5,2,4,1]
[1,5,1,3,4,6]=>[3,1,2,1,4,6]
[1,5,1,3,6,4]=>[3,1,4,1,2,6]
[1,5,1,4,3,6]=>[3,2,1,1,4,6]
[1,5,1,4,6,3]=>[3,4,1,1,2,6]
[1,5,1,6,3,4]=>[2,3,5,1,1,6]
[1,5,1,6,4,3]=>[2,5,3,1,1,6]
[1,5,3,1,4,6]=>[4,1,1,2,3,5]
[1,5,3,1,6,4]=>[4,1,3,2,1,5]
[1,5,3,4,1,6]=>[6,2,1,4,1,3]
[1,5,3,4,6,1]=>[6,4,2,5,1,1]
[1,5,3,6,1,4]=>[6,3,1,5,1,2]
[1,5,3,6,4,1]=>[6,4,1,5,2,1]
[1,5,4,1,3,6]=>[5,1,1,3,2,4]
[1,5,4,1,6,3]=>[4,3,1,2,1,5]
[1,5,4,3,1,6]=>[6,1,2,4,1,3]
[1,5,4,3,6,1]=>[6,2,4,5,1,1]
[1,5,4,6,1,3]=>[6,1,3,5,1,2]
[1,5,4,6,3,1]=>[6,1,4,5,2,1]
[1,5,6,1,3,4]=>[5,1,2,3,1,4]
[1,5,6,1,4,3]=>[5,2,1,3,1,4]
[1,5,6,3,1,4]=>[6,1,1,4,2,3]
[1,5,6,3,4,1]=>[6,2,1,5,4,1]
[1,5,6,4,1,3]=>[6,1,1,5,3,2]
[1,5,6,4,3,1]=>[6,1,2,5,4,1]
[1,6,1,3,4,5]=>[3,1,2,4,1,6]
[1,6,1,3,5,4]=>[3,1,4,2,1,6]
[1,6,1,4,3,5]=>[3,2,1,4,1,6]
[1,6,1,4,5,3]=>[3,4,1,2,1,6]
[1,6,1,5,3,4]=>[3,2,4,1,1,6]
[1,6,1,5,4,3]=>[3,4,2,1,1,6]
[1,6,3,1,4,5]=>[4,1,1,3,2,5]
[1,6,3,1,5,4]=>[4,1,3,1,2,5]
[1,6,3,4,1,5]=>[6,2,1,1,4,3]
[1,6,3,4,5,1]=>[6,4,2,1,5,1]
[1,6,3,5,1,4]=>[6,3,1,1,5,2]
[1,6,3,5,4,1]=>[6,4,1,2,5,1]
[1,6,4,1,3,5]=>[5,1,1,2,3,4]
[1,6,4,1,5,3]=>[4,3,1,1,2,5]
[1,6,4,3,1,5]=>[6,1,2,1,4,3]
[1,6,4,3,5,1]=>[6,2,4,1,5,1]
[1,6,4,5,1,3]=>[6,1,3,1,5,2]
[1,6,4,5,3,1]=>[6,1,4,2,5,1]
[1,6,5,1,3,4]=>[5,1,2,1,3,4]
[1,6,5,1,4,3]=>[5,2,1,1,3,4]
[1,6,5,3,1,4]=>[6,1,1,2,4,3]
[1,6,5,3,4,1]=>[6,2,1,4,5,1]
[1,6,5,4,1,3]=>[6,1,1,3,5,2]
[1,6,5,4,3,1]=>[6,1,2,4,5,1]
[3,1,1,4,5,6]=>[2,3,5,2,1,6]
[3,1,1,4,6,5]=>[2,5,3,2,1,6]
[3,1,1,5,4,6]=>[3,2,5,2,1,6]
[3,1,1,5,6,4]=>[5,2,3,2,1,6]
[3,1,1,6,4,5]=>[3,5,2,2,1,6]
[3,1,1,6,5,4]=>[5,3,2,2,1,6]
[3,1,4,1,5,6]=>[2,2,4,3,1,6]
[3,1,4,1,6,5]=>[2,4,2,3,1,6]
[3,1,4,5,1,6]=>[3,2,2,5,1,4]
[3,1,4,5,6,1]=>[5,3,2,6,1,2]
[3,1,4,6,1,5]=>[4,2,2,6,1,3]
[3,1,4,6,5,1]=>[5,2,3,6,1,2]
[3,1,5,1,4,6]=>[2,2,3,4,1,5]
[3,1,5,1,6,4]=>[4,2,2,3,1,6]
[3,1,5,4,1,6]=>[2,3,2,5,1,4]
[3,1,5,4,6,1]=>[3,5,2,6,1,2]
[3,1,5,6,1,4]=>[2,4,2,6,1,3]
[3,1,5,6,4,1]=>[2,5,3,6,1,2]
[3,1,6,1,4,5]=>[2,3,2,4,1,5]
[3,1,6,1,5,4]=>[3,2,2,4,1,5]
[3,1,6,4,1,5]=>[2,2,3,5,1,4]
[3,1,6,4,5,1]=>[3,2,5,6,1,2]
[3,1,6,5,1,4]=>[2,2,4,6,1,3]
[3,1,6,5,4,1]=>[2,3,5,6,1,2]
[3,4,1,1,5,6]=>[1,3,4,3,2,6]
[3,4,1,1,6,5]=>[1,4,3,3,2,6]
[3,4,1,5,1,6]=>[1,3,3,4,2,5]
[3,4,1,5,6,1]=>[1,4,3,6,2,3]
[3,4,1,6,1,5]=>[1,3,3,5,2,4]
[3,4,1,6,5,1]=>[1,3,4,6,2,3]
[3,4,5,1,1,6]=>[1,2,4,4,3,5]
[3,4,5,1,6,1]=>[1,2,4,5,3,4]
[3,4,5,6,1,1]=>[1,2,3,5,4,5]
[3,4,6,1,1,5]=>[1,4,2,4,3,5]
[3,4,6,1,5,1]=>[1,4,2,5,3,4]
[3,4,6,5,1,1]=>[1,3,2,5,4,5]
[3,5,1,1,4,6]=>[3,1,4,3,2,6]
[3,5,1,1,6,4]=>[4,1,3,3,2,6]
[3,5,1,4,1,6]=>[3,1,3,4,2,5]
[3,5,1,4,6,1]=>[4,1,3,6,2,3]
[3,5,1,6,1,4]=>[3,1,3,5,2,4]
[3,5,1,6,4,1]=>[3,1,4,6,2,3]
[3,5,4,1,1,6]=>[2,1,4,4,3,5]
[3,5,4,1,6,1]=>[2,1,4,5,3,4]
[3,5,4,6,1,1]=>[2,1,3,5,4,5]
[3,5,6,1,1,4]=>[4,1,2,4,3,5]
[3,5,6,1,4,1]=>[4,1,2,5,3,4]
[3,5,6,4,1,1]=>[3,1,2,5,4,5]
[3,6,1,1,4,5]=>[3,4,1,3,2,6]
[3,6,1,1,5,4]=>[4,3,1,3,2,6]
[3,6,1,4,1,5]=>[3,3,1,4,2,5]
[3,6,1,4,5,1]=>[4,3,1,6,2,3]
[3,6,1,5,1,4]=>[3,3,1,5,2,4]
[3,6,1,5,4,1]=>[3,4,1,6,2,3]
[3,6,4,1,1,5]=>[2,4,1,4,3,5]
[3,6,4,1,5,1]=>[2,4,1,5,3,4]
[3,6,4,5,1,1]=>[2,3,1,5,4,5]
[3,6,5,1,1,4]=>[4,2,1,4,3,5]
[3,6,5,1,4,1]=>[4,2,1,5,3,4]
[3,6,5,4,1,1]=>[3,2,1,5,4,5]
[4,1,1,3,5,6]=>[5,4,2,1,6,2]
[4,1,1,3,6,5]=>[4,5,2,1,6,2]
[4,1,1,5,3,6]=>[2,5,2,1,6,3]
[4,1,1,5,6,3]=>[2,3,2,1,6,5]
[4,1,1,6,3,5]=>[5,2,2,1,6,3]
[4,1,1,6,5,3]=>[3,2,2,1,6,5]
[4,1,3,1,5,6]=>[2,3,6,1,2,5]
[4,1,3,1,6,5]=>[3,2,6,1,2,5]
[4,1,3,5,1,6]=>[2,2,6,1,3,4]
[4,1,3,5,6,1]=>[3,2,4,1,5,2]
[4,1,3,6,1,5]=>[2,2,5,1,4,3]
[4,1,3,6,5,1]=>[2,3,4,1,5,2]
[4,1,5,1,3,6]=>[2,4,3,1,6,2]
[4,1,5,1,6,3]=>[2,2,3,1,6,4]
[4,1,5,3,1,6]=>[5,2,6,1,2,3]
[4,1,5,3,6,1]=>[4,2,6,1,3,2]
[4,1,5,6,1,3]=>[3,2,5,1,4,2]
[4,1,5,6,3,1]=>[5,4,6,1,2,2]
[4,1,6,1,3,5]=>[4,2,3,1,6,2]
[4,1,6,1,5,3]=>[2,2,4,1,5,3]
[4,1,6,3,1,5]=>[2,5,6,1,2,3]
[4,1,6,3,5,1]=>[2,4,6,1,3,2]
[4,1,6,5,1,3]=>[2,3,5,1,4,2]
[4,1,6,5,3,1]=>[4,5,6,1,2,2]
[4,3,1,1,5,6]=>[3,2,5,4,5,1]
[4,3,1,1,6,5]=>[2,3,5,4,5,1]
[4,3,1,5,1,6]=>[4,2,4,3,5,1]
[4,3,1,5,6,1]=>[4,3,3,2,6,1]
[4,3,1,6,1,5]=>[2,4,4,3,5,1]
[4,3,1,6,5,1]=>[3,4,3,2,6,1]
[4,3,5,1,1,6]=>[4,2,5,3,4,1]
[4,3,5,1,6,1]=>[3,3,4,2,5,1]
[4,3,5,6,1,1]=>[4,3,6,2,3,1]
[4,3,6,1,1,5]=>[2,4,5,3,4,1]
[4,3,6,1,5,1]=>[3,3,5,2,4,1]
[4,3,6,5,1,1]=>[3,4,6,2,3,1]
[4,5,1,1,3,6]=>[1,5,3,2,6,3]
[4,5,1,1,6,3]=>[1,3,3,2,6,4]
[4,5,1,3,1,6]=>[1,3,6,2,3,4]
[4,5,1,3,6,1]=>[1,3,5,2,4,3]
[4,5,1,6,1,3]=>[1,3,4,2,5,3]
[4,5,1,6,3,1]=>[1,5,6,2,3,3]
[4,5,3,1,1,6]=>[1,3,5,4,5,2]
[4,5,3,1,6,1]=>[1,4,4,3,5,2]
[4,5,3,6,1,1]=>[1,4,5,3,4,2]
[4,5,6,1,1,3]=>[1,2,4,3,6,4]
[4,5,6,1,3,1]=>[1,2,6,3,4,4]
[4,5,6,3,1,1]=>[1,2,5,4,5,3]
[4,6,1,1,3,5]=>[5,1,3,2,6,3]
[4,6,1,1,5,3]=>[3,1,3,2,6,4]
[4,6,1,3,1,5]=>[3,1,6,2,3,4]
[4,6,1,3,5,1]=>[3,1,5,2,4,3]
[4,6,1,5,1,3]=>[3,1,4,2,5,3]
[4,6,1,5,3,1]=>[5,1,6,2,3,3]
[4,6,3,1,1,5]=>[3,1,5,4,5,2]
[4,6,3,1,5,1]=>[4,1,4,3,5,2]
[4,6,3,5,1,1]=>[4,1,5,3,4,2]
[4,6,5,1,1,3]=>[2,1,4,3,6,4]
[4,6,5,1,3,1]=>[2,1,6,3,4,4]
[4,6,5,3,1,1]=>[2,1,5,4,5,3]
[5,1,1,3,4,6]=>[4,2,1,6,2,5]
[5,1,1,3,6,4]=>[5,2,1,6,2,4]
[5,1,1,4,3,6]=>[4,2,1,6,5,2]
[5,1,1,4,6,3]=>[5,2,1,6,4,2]
[5,1,1,6,3,4]=>[2,2,1,6,3,5]
[5,1,1,6,4,3]=>[2,2,1,6,5,3]
[5,1,3,1,4,6]=>[4,6,1,2,5,2]
[5,1,3,1,6,4]=>[2,6,1,2,5,3]
[5,1,3,4,1,6]=>[2,4,1,5,2,3]
[5,1,3,4,6,1]=>[2,5,1,4,3,2]
[5,1,3,6,1,4]=>[2,6,1,3,4,2]
[5,1,3,6,4,1]=>[4,3,1,6,2,2]
[5,1,4,1,3,6]=>[4,6,1,2,2,5]
[5,1,4,1,6,3]=>[2,6,1,2,3,5]
[5,1,4,3,1,6]=>[2,5,1,4,2,3]
[5,1,4,3,6,1]=>[2,4,1,5,3,2]
[5,1,4,6,1,3]=>[2,6,1,3,2,4]
[5,1,4,6,3,1]=>[3,4,1,5,2,2]
[5,1,6,1,3,4]=>[2,3,1,6,2,4]
[5,1,6,1,4,3]=>[2,3,1,6,4,2]
[5,1,6,3,1,4]=>[5,6,1,2,4,2]
[5,1,6,3,4,1]=>[3,5,1,4,2,2]
[5,1,6,4,1,3]=>[5,6,1,2,2,4]
[5,1,6,4,3,1]=>[4,6,1,3,2,2]
[5,3,1,1,4,6]=>[2,5,4,5,1,3]
[5,3,1,1,6,4]=>[3,5,4,5,1,2]
[5,3,1,4,1,6]=>[3,3,2,6,1,4]
[5,3,1,4,6,1]=>[2,4,3,6,1,4]
[5,3,1,6,1,4]=>[4,4,3,5,1,2]
[5,3,1,6,4,1]=>[5,3,2,6,1,3]
[5,3,4,1,1,6]=>[3,6,2,3,1,4]
[5,3,4,1,6,1]=>[2,6,3,4,1,4]
[5,3,4,6,1,1]=>[3,5,2,4,1,3]
[5,3,6,1,1,4]=>[4,5,3,4,1,2]
[5,3,6,1,4,1]=>[3,4,2,5,1,3]
[5,3,6,4,1,1]=>[5,6,2,3,1,3]
[5,4,1,1,3,6]=>[2,5,4,5,3,1]
[5,4,1,1,6,3]=>[3,5,4,5,2,1]
[5,4,1,3,1,6]=>[2,4,3,6,4,1]
[5,4,1,3,6,1]=>[3,3,2,6,4,1]
[5,4,1,6,1,3]=>[4,4,3,5,2,1]
[5,4,1,6,3,1]=>[5,3,2,6,3,1]
[5,4,3,1,1,6]=>[2,6,3,4,4,1]
[5,4,3,1,6,1]=>[3,6,2,3,4,1]
[5,4,3,6,1,1]=>[3,5,2,4,3,1]
[5,4,6,1,1,3]=>[4,5,3,4,2,1]
[5,4,6,1,3,1]=>[3,4,2,5,3,1]
[5,4,6,3,1,1]=>[5,6,2,3,3,1]
[5,6,1,1,3,4]=>[1,3,2,6,3,5]
[5,6,1,1,4,3]=>[1,3,2,6,5,3]
[5,6,1,3,1,4]=>[1,6,2,3,5,3]
[5,6,1,3,4,1]=>[1,4,2,5,3,3]
[5,6,1,4,1,3]=>[1,6,2,3,3,5]
[5,6,1,4,3,1]=>[1,5,2,4,3,3]
[5,6,3,1,1,4]=>[1,5,4,5,2,3]
[5,6,3,1,4,1]=>[1,4,3,6,2,4]
[5,6,3,4,1,1]=>[1,6,3,4,2,4]
[5,6,4,1,1,3]=>[1,5,4,5,3,2]
[5,6,4,1,3,1]=>[1,4,3,6,4,2]
[5,6,4,3,1,1]=>[1,6,3,4,4,2]
[6,1,1,3,4,5]=>[2,1,6,2,5,4]
[6,1,1,3,5,4]=>[2,1,6,2,4,5]
[6,1,1,4,3,5]=>[2,1,6,5,2,4]
[6,1,1,4,5,3]=>[2,1,6,4,2,5]
[6,1,1,5,3,4]=>[2,1,6,5,4,2]
[6,1,1,5,4,3]=>[2,1,6,4,5,2]
[6,1,3,1,4,5]=>[6,1,2,5,2,4]
[6,1,3,1,5,4]=>[6,1,2,5,4,2]
[6,1,3,4,1,5]=>[3,1,6,2,4,2]
[6,1,3,4,5,1]=>[6,1,3,4,2,2]
[6,1,3,5,1,4]=>[3,1,6,2,2,4]
[6,1,3,5,4,1]=>[5,1,4,3,2,2]
[6,1,4,1,3,5]=>[6,1,2,2,5,4]
[6,1,4,1,5,3]=>[6,1,2,4,5,2]
[6,1,4,3,1,5]=>[6,1,3,2,4,2]
[6,1,4,3,5,1]=>[3,1,6,4,2,2]
[6,1,4,5,1,3]=>[4,1,5,2,2,3]
[6,1,4,5,3,1]=>[5,1,4,2,3,2]
[6,1,5,1,3,4]=>[6,1,2,2,4,5]
[6,1,5,1,4,3]=>[6,1,2,4,2,5]
[6,1,5,3,1,4]=>[6,1,3,2,2,4]
[6,1,5,3,4,1]=>[4,1,5,3,2,2]
[6,1,5,4,1,3]=>[5,1,4,2,2,3]
[6,1,5,4,3,1]=>[4,1,5,2,3,2]
[6,3,1,1,4,5]=>[5,4,5,1,3,2]
[6,3,1,1,5,4]=>[5,4,5,1,2,3]
[6,3,1,4,1,5]=>[3,2,6,1,5,3]
[6,3,1,4,5,1]=>[4,3,6,1,4,2]
[6,3,1,5,1,4]=>[3,2,6,1,3,5]
[6,3,1,5,4,1]=>[4,3,6,1,2,4]
[6,3,4,1,1,5]=>[6,2,3,1,5,3]
[6,3,4,1,5,1]=>[6,3,4,1,4,2]
[6,3,4,5,1,1]=>[4,2,5,1,3,3]
[6,3,5,1,1,4]=>[6,2,3,1,3,5]
[6,3,5,1,4,1]=>[6,3,4,1,2,4]
[6,3,5,4,1,1]=>[5,2,4,1,3,3]
[6,4,1,1,3,5]=>[5,4,5,3,1,2]
[6,4,1,1,5,3]=>[5,4,5,2,1,3]
[6,4,1,3,1,5]=>[4,3,6,4,1,2]
[6,4,1,3,5,1]=>[3,2,6,5,1,3]
[6,4,1,5,1,3]=>[3,2,6,3,1,5]
[6,4,1,5,3,1]=>[4,3,6,2,1,4]
[6,4,3,1,1,5]=>[6,3,4,4,1,2]
[6,4,3,1,5,1]=>[6,2,3,5,1,3]
[6,4,3,5,1,1]=>[4,2,5,3,1,3]
[6,4,5,1,1,3]=>[6,2,3,3,1,5]
[6,4,5,1,3,1]=>[6,3,4,2,1,4]
[6,4,5,3,1,1]=>[5,2,4,3,1,3]
[6,5,1,1,3,4]=>[5,4,5,3,2,1]
[6,5,1,1,4,3]=>[5,4,5,2,3,1]
[6,5,1,3,1,4]=>[4,3,6,4,2,1]
[6,5,1,3,4,1]=>[3,2,6,5,3,1]
[6,5,1,4,1,3]=>[4,3,6,2,4,1]
[6,5,1,4,3,1]=>[3,2,6,3,5,1]
[6,5,3,1,1,4]=>[6,3,4,4,2,1]
[6,5,3,1,4,1]=>[6,2,3,5,3,1]
[6,5,3,4,1,1]=>[4,2,5,3,3,1]
[6,5,4,1,1,3]=>[6,3,4,2,4,1]
[6,5,4,1,3,1]=>[6,2,3,3,5,1]
[6,5,4,3,1,1]=>[5,2,4,3,3,1]
[1,2,2,2,2,2]=>[1,2,2,2,2,2]
[2,1,2,2,2,2]=>[6,1,1,1,1,1]
[2,2,1,2,2,2]=>[1,6,1,1,1,1]
[2,2,2,1,2,2]=>[1,1,6,1,1,1]
[2,2,2,2,1,2]=>[1,1,1,6,1,1]
[2,2,2,2,2,1]=>[1,1,1,1,6,1]
[1,2,2,2,2,3]=>[1,2,2,2,2,3]
[1,2,2,2,3,2]=>[1,2,2,2,3,2]
[1,2,2,3,2,2]=>[1,2,2,3,2,2]
[1,2,3,2,2,2]=>[1,2,3,2,2,2]
[1,3,2,2,2,2]=>[2,1,3,3,3,3]
[2,1,2,2,2,3]=>[1,6,1,1,1,2]
[2,1,2,2,3,2]=>[1,5,1,1,2,1]
[2,1,2,3,2,2]=>[1,5,1,2,1,1]
[2,1,3,2,2,2]=>[1,5,2,1,1,1]
[2,2,1,2,2,3]=>[1,1,6,1,1,2]
[2,2,1,2,3,2]=>[1,1,5,1,2,1]
[2,2,1,3,2,2]=>[1,1,5,2,1,1]
[2,2,2,1,2,3]=>[1,1,1,6,1,2]
[2,2,2,1,3,2]=>[1,1,1,5,2,1]
[2,2,2,2,1,3]=>[5,1,1,1,6,1]
[2,2,2,2,3,1]=>[1,1,1,1,6,2]
[2,2,2,3,1,2]=>[5,1,1,6,1,1]
[2,2,2,3,2,1]=>[1,1,1,2,5,1]
[2,2,3,1,2,2]=>[5,1,6,1,1,1]
[2,2,3,2,1,2]=>[1,1,2,5,1,1]
[2,2,3,2,2,1]=>[1,1,2,1,5,1]
[2,3,1,2,2,2]=>[5,6,1,1,1,1]
[2,3,2,1,2,2]=>[1,2,5,1,1,1]
[2,3,2,2,1,2]=>[1,2,1,5,1,1]
[2,3,2,2,2,1]=>[1,2,1,1,5,1]
[3,1,2,2,2,2]=>[3,3,3,3,1,2]
[3,2,1,2,2,2]=>[6,2,2,2,2,1]
[3,2,2,1,2,2]=>[2,6,2,2,2,1]
[3,2,2,2,1,2]=>[2,2,6,2,2,1]
[3,2,2,2,2,1]=>[2,2,2,6,2,1]
[1,2,2,2,2,4]=>[1,2,2,2,2,4]
[1,2,2,2,4,2]=>[1,2,2,2,4,2]
[1,2,2,4,2,2]=>[1,2,2,4,2,2]
[1,2,4,2,2,2]=>[1,3,2,2,2,2]
[1,4,2,2,2,2]=>[2,3,1,3,3,3]
[2,1,2,2,2,4]=>[6,1,1,1,1,2]
[2,1,2,2,4,2]=>[5,1,1,1,2,1]
[2,1,2,4,2,2]=>[5,1,1,2,1,1]
[2,1,4,2,2,2]=>[5,1,2,1,1,1]
[2,2,1,2,2,4]=>[1,1,6,1,1,3]
[2,2,1,2,4,2]=>[1,1,5,1,3,1]
[2,2,1,4,2,2]=>[1,1,5,3,1,1]
[2,2,2,1,2,4]=>[1,1,1,6,1,3]
[2,2,2,1,4,2]=>[1,1,1,5,3,1]
[2,2,2,2,1,4]=>[1,5,1,1,6,1]
[2,2,2,2,4,1]=>[1,1,1,1,6,3]
[2,2,2,4,1,2]=>[1,5,1,6,1,1]
[2,2,2,4,2,1]=>[1,1,1,3,5,1]
[2,2,4,1,2,2]=>[1,5,6,1,1,1]
[2,2,4,2,1,2]=>[1,1,3,5,1,1]
[2,2,4,2,2,1]=>[1,1,3,1,5,1]
[2,4,1,2,2,2]=>[6,5,1,1,1,1]
[2,4,2,1,2,2]=>[2,1,5,1,1,1]
[2,4,2,2,1,2]=>[2,1,1,5,1,1]
[2,4,2,2,2,1]=>[2,1,1,1,5,1]
[4,1,2,2,2,2]=>[3,3,3,1,2,3]
[4,2,1,2,2,2]=>[5,2,2,2,1,2]
[4,2,2,1,2,2]=>[2,5,2,2,1,2]
[4,2,2,2,1,2]=>[2,2,5,2,1,2]
[4,2,2,2,2,1]=>[2,2,2,2,1,6]
[1,2,2,2,2,5]=>[1,2,2,2,2,5]
[1,2,2,2,5,2]=>[1,2,2,2,5,2]
[1,2,2,5,2,2]=>[1,2,4,2,2,2]
[1,2,5,2,2,2]=>[1,4,2,2,2,2]
[1,5,2,2,2,2]=>[2,3,3,1,3,3]
[2,1,2,2,2,5]=>[6,1,1,1,1,3]
[2,1,2,2,5,2]=>[5,1,1,1,3,1]
[2,1,2,5,2,2]=>[5,1,1,3,1,1]
[2,1,5,2,2,2]=>[5,2,1,1,1,1]
[2,2,1,2,2,5]=>[1,6,1,1,1,3]
[2,2,1,2,5,2]=>[1,5,1,1,3,1]
[2,2,1,5,2,2]=>[1,5,1,3,1,1]
[2,2,2,1,2,5]=>[1,1,1,6,1,4]
[2,2,2,1,5,2]=>[1,1,1,5,4,1]
[2,2,2,2,1,5]=>[1,1,5,1,6,1]
[2,2,2,2,5,1]=>[1,1,1,1,6,4]
[2,2,2,5,1,2]=>[1,1,5,6,1,1]
[2,2,2,5,2,1]=>[1,1,1,4,5,1]
[2,2,5,1,2,2]=>[1,6,5,1,1,1]
[2,2,5,2,1,2]=>[1,3,1,5,1,1]
[2,2,5,2,2,1]=>[1,3,1,1,5,1]
[2,5,1,2,2,2]=>[2,5,1,1,1,1]
[2,5,2,1,2,2]=>[6,1,5,1,1,1]
[2,5,2,2,1,2]=>[3,1,1,5,1,1]
[2,5,2,2,2,1]=>[3,1,1,1,5,1]
[5,1,2,2,2,2]=>[3,3,1,2,3,3]
[5,2,1,2,2,2]=>[4,2,2,1,2,2]
[5,2,2,1,2,2]=>[2,4,2,1,2,2]
[5,2,2,2,1,2]=>[2,2,2,1,5,2]
[5,2,2,2,2,1]=>[2,2,2,1,2,5]
[1,2,2,2,2,6]=>[1,2,2,2,2,6]
[1,2,2,2,6,2]=>[1,2,2,5,2,2]
[1,2,2,6,2,2]=>[1,2,5,2,2,2]
[1,2,6,2,2,2]=>[1,5,2,2,2,2]
[1,6,2,2,2,2]=>[2,3,3,3,1,3]
[2,1,2,2,2,6]=>[6,1,1,1,1,4]
[2,1,2,2,6,2]=>[5,1,1,1,4,1]
[2,1,2,6,2,2]=>[5,1,3,1,1,1]
[2,1,6,2,2,2]=>[5,3,1,1,1,1]
[2,2,1,2,2,6]=>[1,6,1,1,1,4]
[2,2,1,2,6,2]=>[1,5,1,1,4,1]
[2,2,1,6,2,2]=>[1,5,3,1,1,1]
[2,2,2,1,2,6]=>[1,1,6,1,1,4]
[2,2,2,1,6,2]=>[1,1,5,1,4,1]
[2,2,2,2,1,6]=>[1,1,1,5,6,1]
[2,2,2,2,6,1]=>[1,1,1,1,6,5]
[2,2,2,6,1,2]=>[1,1,6,5,1,1]
[2,2,2,6,2,1]=>[1,1,4,1,5,1]
[2,2,6,1,2,2]=>[1,3,5,1,1,1]
[2,2,6,2,1,2]=>[1,6,1,5,1,1]
[2,2,6,2,2,1]=>[1,4,1,1,5,1]
[2,6,1,2,2,2]=>[3,5,1,1,1,1]
[2,6,2,1,2,2]=>[3,1,5,1,1,1]
[2,6,2,2,1,2]=>[6,1,1,5,1,1]
[2,6,2,2,2,1]=>[4,1,1,1,5,1]
[6,1,2,2,2,2]=>[3,1,2,3,3,3]
[6,2,1,2,2,2]=>[3,2,1,2,2,2]
[6,2,2,1,2,2]=>[2,2,1,4,2,2]
[6,2,2,2,1,2]=>[2,2,1,2,4,2]
[6,2,2,2,2,1]=>[2,2,1,2,2,4]
[1,2,2,2,3,3]=>[1,2,2,2,3,3]
[1,2,2,3,2,3]=>[1,2,2,3,2,3]
[1,2,2,3,3,2]=>[1,2,2,3,3,2]
[1,2,3,2,2,3]=>[1,2,3,2,2,3]
[1,2,3,2,3,2]=>[1,2,3,2,3,2]
[1,2,3,3,2,2]=>[1,2,3,3,2,2]
[1,3,2,2,2,3]=>[2,1,3,3,3,2]
[1,3,2,2,3,2]=>[2,1,3,3,2,3]
[1,3,2,3,2,2]=>[2,1,3,2,3,3]
[1,3,3,2,2,2]=>[2,1,2,3,3,3]
[2,1,2,2,3,3]=>[1,6,1,1,2,2]
[2,1,2,3,2,3]=>[1,6,1,2,1,2]
[2,1,2,3,3,2]=>[1,4,1,2,2,1]
[2,1,3,2,2,3]=>[1,6,2,1,1,2]
[2,1,3,2,3,2]=>[1,4,2,1,2,1]
[2,1,3,3,2,2]=>[1,4,2,2,1,1]
[2,2,1,2,3,3]=>[1,1,6,1,2,2]
[2,2,1,3,2,3]=>[1,1,6,2,1,2]
[2,2,1,3,3,2]=>[1,1,4,2,2,1]
[2,2,2,1,3,3]=>[4,1,1,5,5,1]
[2,2,2,3,1,3]=>[1,1,1,6,2,2]
[2,2,2,3,3,1]=>[1,1,1,2,6,2]
[2,2,3,1,2,3]=>[1,1,2,6,1,2]
[2,2,3,1,3,2]=>[1,1,2,4,2,1]
[2,2,3,2,1,3]=>[4,1,5,1,5,1]
[2,2,3,2,3,1]=>[1,1,2,1,6,2]
[2,2,3,3,1,2]=>[4,1,5,5,1,1]
[2,2,3,3,2,1]=>[1,1,2,2,4,1]
[2,3,1,2,2,3]=>[1,2,6,1,1,2]
[2,3,1,2,3,2]=>[1,2,4,1,2,1]
[2,3,1,3,2,2]=>[1,2,4,2,1,1]
[2,3,2,1,2,3]=>[1,2,1,6,1,2]
[2,3,2,1,3,2]=>[1,2,1,4,2,1]
[2,3,2,2,1,3]=>[4,5,1,1,5,1]
[2,3,2,2,3,1]=>[1,2,1,1,6,2]
[2,3,2,3,1,2]=>[4,5,1,5,1,1]
[2,3,2,3,2,1]=>[1,2,1,2,4,1]
[2,3,3,1,2,2]=>[4,5,5,1,1,1]
[2,3,3,2,1,2]=>[1,2,2,4,1,1]
[2,3,3,2,2,1]=>[1,2,2,1,4,1]
[3,1,2,2,2,3]=>[2,3,3,3,1,1]
[3,1,2,2,3,2]=>[6,3,3,1,3,1]
[3,1,2,3,2,2]=>[6,3,1,3,3,1]
[3,1,3,2,2,2]=>[6,1,3,3,3,1]
[3,2,1,2,2,3]=>[3,2,3,3,1,1]
[3,2,1,2,3,2]=>[3,6,3,1,3,1]
[3,2,1,3,2,2]=>[3,6,1,3,3,1]
[3,2,2,1,2,3]=>[3,3,2,3,1,1]
[3,2,2,1,3,2]=>[3,3,6,1,3,1]
[3,2,2,2,1,3]=>[3,3,3,2,1,1]
[3,2,2,2,3,1]=>[4,4,4,1,1,3]
[3,2,2,3,1,2]=>[4,4,1,4,1,3]
[3,2,2,3,2,1]=>[3,3,1,6,3,1]
[3,2,3,1,2,2]=>[4,1,4,4,1,3]
[3,2,3,2,1,2]=>[3,1,6,3,3,1]
[3,2,3,2,2,1]=>[3,1,3,6,3,1]
[3,3,1,2,2,2]=>[1,4,4,4,1,3]
[3,3,2,1,2,2]=>[1,6,3,3,3,1]
[3,3,2,2,1,2]=>[1,3,6,3,3,1]
[3,3,2,2,2,1]=>[1,3,3,6,3,1]
[1,2,2,2,3,4]=>[1,2,3,2,2,6]
[1,2,2,2,4,3]=>[1,3,2,2,2,6]
[1,2,2,3,2,4]=>[1,2,2,2,3,4]
[1,2,2,3,4,2]=>[1,3,2,2,6,2]
[1,2,2,4,2,3]=>[1,2,2,2,4,3]
[1,2,2,4,3,2]=>[1,2,3,2,6,2]
[1,2,3,2,2,4]=>[1,2,2,3,2,4]
[1,2,3,2,4,2]=>[1,2,2,3,4,2]
[1,2,3,4,2,2]=>[1,3,2,6,2,2]
[1,2,4,2,2,3]=>[1,2,2,4,2,3]
[1,2,4,2,3,2]=>[1,2,2,4,3,2]
[1,2,4,3,2,2]=>[1,2,3,6,2,2]
[1,3,2,2,2,4]=>[2,1,3,3,3,4]
[1,3,2,2,4,2]=>[2,1,3,3,4,3]
[1,3,2,4,2,2]=>[2,1,3,4,3,3]
[1,3,4,2,2,2]=>[3,1,2,4,4,4]
[1,4,2,2,2,3]=>[2,3,1,3,3,4]
[1,4,2,2,3,2]=>[2,3,1,3,4,3]
[1,4,2,3,2,2]=>[2,3,1,4,3,3]
[1,4,3,2,2,2]=>[3,2,1,4,4,4]
[2,1,2,2,3,4]=>[1,2,6,1,1,5]
[2,1,2,2,4,3]=>[2,1,6,1,1,5]
[2,1,2,3,2,4]=>[1,1,6,1,2,3]
[2,1,2,3,4,2]=>[2,1,4,1,5,1]
[2,1,2,4,2,3]=>[1,1,5,1,3,2]
[2,1,2,4,3,2]=>[1,2,4,1,5,1]
[2,1,3,2,2,4]=>[1,1,6,2,1,3]
[2,1,3,2,4,2]=>[1,1,4,2,3,1]
[2,1,3,4,2,2]=>[2,1,4,5,1,1]
[2,1,4,2,2,3]=>[1,1,5,3,1,2]
[2,1,4,2,3,2]=>[1,1,4,3,2,1]
[2,1,4,3,2,2]=>[1,2,4,5,1,1]
[2,2,1,2,3,4]=>[1,2,1,6,1,5]
[2,2,1,2,4,3]=>[2,1,1,6,1,5]
[2,2,1,3,2,4]=>[1,1,1,6,2,3]
[2,2,1,3,4,2]=>[2,1,1,4,5,1]
[2,2,1,4,2,3]=>[1,1,1,5,3,2]
[2,2,1,4,3,2]=>[1,2,1,4,5,1]
[2,2,2,1,3,4]=>[5,4,1,1,6,1]
[2,2,2,1,4,3]=>[4,5,1,1,6,1]
[2,2,2,3,1,4]=>[1,5,1,1,6,2]
[2,2,2,3,4,1]=>[1,2,1,1,6,5]
[2,2,2,4,1,3]=>[5,1,1,1,6,2]
[2,2,2,4,3,1]=>[2,1,1,1,6,5]
[2,2,3,1,2,4]=>[5,1,1,6,1,2]
[2,2,3,1,4,2]=>[4,1,1,6,2,1]
[2,2,3,2,1,4]=>[1,4,1,2,6,1]
[2,2,3,2,4,1]=>[1,1,1,2,6,3]
[2,2,3,4,1,2]=>[5,4,1,6,1,1]
[2,2,3,4,2,1]=>[2,1,1,5,4,1]
[2,2,4,1,2,3]=>[1,5,1,6,1,2]
[2,2,4,1,3,2]=>[1,4,1,6,2,1]
[2,2,4,2,1,3]=>[4,1,1,2,6,1]
[2,2,4,2,3,1]=>[1,1,1,3,5,2]
[2,2,4,3,1,2]=>[4,5,1,6,1,1]
[2,2,4,3,2,1]=>[1,2,1,5,4,1]
[2,3,1,2,2,4]=>[5,1,6,1,1,2]
[2,3,1,2,4,2]=>[4,1,6,1,2,1]
[2,3,1,4,2,2]=>[4,1,6,2,1,1]
[2,3,2,1,2,4]=>[1,1,2,6,1,3]
[2,3,2,1,4,2]=>[1,1,2,4,3,1]
[2,3,2,2,1,4]=>[1,4,2,1,6,1]
[2,3,2,2,4,1]=>[1,1,2,1,6,3]
[2,3,2,4,1,2]=>[1,4,2,6,1,1]
[2,3,2,4,2,1]=>[1,1,2,3,4,1]
[2,3,4,1,2,2]=>[5,4,6,1,1,1]
[2,3,4,2,1,2]=>[2,1,5,4,1,1]
[2,3,4,2,2,1]=>[2,1,5,1,4,1]
[2,4,1,2,2,3]=>[1,5,6,1,1,2]
[2,4,1,2,3,2]=>[1,4,6,1,2,1]
[2,4,1,3,2,2]=>[1,4,6,2,1,1]
[2,4,2,1,2,3]=>[1,1,3,5,1,2]
[2,4,2,1,3,2]=>[1,1,3,4,2,1]
[2,4,2,2,1,3]=>[4,1,2,1,6,1]
[2,4,2,2,3,1]=>[1,1,3,1,5,2]
[2,4,2,3,1,2]=>[4,1,2,6,1,1]
[2,4,2,3,2,1]=>[1,1,3,2,4,1]
[2,4,3,1,2,2]=>[4,5,6,1,1,1]
[2,4,3,2,1,2]=>[1,2,5,4,1,1]
[2,4,3,2,2,1]=>[1,2,5,1,4,1]
[3,1,2,2,2,4]=>[2,4,4,4,1,3]
[3,1,2,2,4,2]=>[3,3,3,4,1,2]
[3,1,2,4,2,2]=>[3,3,4,3,1,2]
[3,1,4,2,2,2]=>[3,4,3,3,1,2]
[3,2,1,2,2,4]=>[2,6,2,2,3,1]
[3,2,1,2,4,2]=>[2,5,2,3,2,1]
[3,2,1,4,2,2]=>[2,5,3,2,2,1]
[3,2,2,1,2,4]=>[2,2,6,2,3,1]
[3,2,2,1,4,2]=>[2,2,5,3,2,1]
[3,2,2,2,1,4]=>[2,2,2,6,3,1]
[3,2,2,2,4,1]=>[5,2,2,6,2,1]
[3,2,2,4,1,2]=>[5,2,6,2,2,1]
[3,2,2,4,2,1]=>[2,2,3,5,2,1]
[3,2,4,1,2,2]=>[5,6,2,2,2,1]
[3,2,4,2,1,2]=>[2,3,5,2,2,1]
[3,2,4,2,2,1]=>[2,3,2,5,2,1]
[3,4,1,2,2,2]=>[1,4,4,4,2,3]
[3,4,2,1,2,2]=>[1,6,3,3,3,2]
[3,4,2,2,1,2]=>[1,3,6,3,3,2]
[3,4,2,2,2,1]=>[1,3,3,6,3,2]
[4,1,2,2,2,3]=>[4,4,4,1,3,2]
[4,1,2,2,3,2]=>[3,3,6,1,2,3]
[4,1,2,3,2,2]=>[3,6,3,1,2,3]
[4,1,3,2,2,2]=>[6,3,3,1,2,3]
[4,2,1,2,2,3]=>[6,2,2,5,1,2]
[4,2,1,2,3,2]=>[4,2,5,2,1,2]
[4,2,1,3,2,2]=>[4,5,2,2,1,2]
[4,2,2,1,2,3]=>[2,6,2,5,1,2]
[4,2,2,1,3,2]=>[2,4,5,2,1,2]
[4,2,2,2,1,3]=>[2,2,6,5,1,2]
[4,2,2,2,3,1]=>[2,2,6,2,1,5]
[4,2,2,3,1,2]=>[2,5,4,2,1,2]
[4,2,2,3,2,1]=>[2,6,2,2,1,5]
[4,2,3,1,2,2]=>[5,4,2,2,1,2]
[4,2,3,2,1,2]=>[5,2,4,2,1,2]
[4,2,3,2,2,1]=>[6,2,2,2,1,5]
[4,3,1,2,2,2]=>[6,3,3,3,2,1]
[4,3,2,1,2,2]=>[3,6,3,3,2,1]
[4,3,2,2,1,2]=>[3,3,6,3,2,1]
[4,3,2,2,2,1]=>[4,4,4,2,3,1]
[1,2,2,2,3,5]=>[1,2,2,3,2,6]
[1,2,2,2,5,3]=>[1,4,2,2,2,6]
[1,2,2,3,2,5]=>[1,2,2,2,3,5]
[1,2,2,3,5,2]=>[1,4,2,2,6,2]
[1,2,2,5,2,3]=>[1,2,2,2,5,3]
[1,2,2,5,3,2]=>[1,2,2,3,6,2]
[1,2,3,2,2,5]=>[1,2,3,2,2,4]
[1,2,3,2,5,2]=>[1,2,3,2,4,2]
[1,2,3,5,2,2]=>[1,3,6,2,2,2]
[1,2,5,2,2,3]=>[1,2,4,2,2,3]
[1,2,5,2,3,2]=>[1,2,4,2,3,2]
[1,2,5,3,2,2]=>[1,2,6,3,2,2]
[1,3,2,2,2,5]=>[2,1,3,3,3,5]
[1,3,2,2,5,2]=>[2,1,3,3,5,3]
[1,3,2,5,2,2]=>[2,1,4,3,3,3]
[1,3,5,2,2,2]=>[3,1,4,2,4,4]
[1,5,2,2,2,3]=>[2,3,3,1,3,4]
[1,5,2,2,3,2]=>[2,3,3,1,4,3]
[1,5,2,3,2,2]=>[3,2,4,1,4,4]
[1,5,3,2,2,2]=>[2,3,4,1,3,3]
[2,1,2,2,3,5]=>[1,6,2,1,1,5]
[2,1,2,2,5,3]=>[2,6,1,1,1,5]
[2,1,2,3,2,5]=>[1,6,1,1,2,3]
[2,1,2,3,5,2]=>[2,4,1,1,5,1]
[2,1,2,5,2,3]=>[1,5,1,1,3,2]
[2,1,2,5,3,2]=>[1,4,2,1,5,1]
[2,1,3,2,2,5]=>[1,6,1,2,1,3]
[2,1,3,2,5,2]=>[1,4,1,2,3,1]
[2,1,3,5,2,2]=>[2,4,1,5,1,1]
[2,1,5,2,2,3]=>[1,5,1,3,1,2]
[2,1,5,2,3,2]=>[1,4,1,3,2,1]
[2,1,5,3,2,2]=>[1,4,2,5,1,1]
[2,2,1,2,3,5]=>[1,1,2,6,1,5]
[2,2,1,2,5,3]=>[3,1,1,6,1,5]
[2,2,1,3,2,5]=>[1,1,1,6,2,4]
[2,2,1,3,5,2]=>[3,1,1,4,5,1]
[2,2,1,5,2,3]=>[1,1,1,5,4,2]
[2,2,1,5,3,2]=>[1,1,2,4,5,1]
[2,2,2,1,3,5]=>[5,1,4,1,6,1]
[2,2,2,1,5,3]=>[4,1,5,1,6,1]
[2,2,2,3,1,5]=>[1,1,5,1,6,2]
[2,2,2,3,5,1]=>[1,1,2,1,6,5]
[2,2,2,5,1,3]=>[5,1,1,1,6,3]
[2,2,2,5,3,1]=>[3,1,1,1,6,5]
[2,2,3,1,2,5]=>[5,1,1,6,1,3]
[2,2,3,1,5,2]=>[4,1,1,6,3,1]
[2,2,3,2,1,5]=>[1,1,4,2,6,1]
[2,2,3,2,5,1]=>[1,1,1,2,6,4]
[2,2,3,5,1,2]=>[5,1,4,6,1,1]
[2,2,3,5,2,1]=>[3,1,1,5,4,1]
[2,2,5,1,2,3]=>[1,1,5,6,1,2]
[2,2,5,1,3,2]=>[1,1,4,6,2,1]
[2,2,5,2,1,3]=>[4,1,1,3,6,1]
[2,2,5,2,3,1]=>[1,1,1,4,5,2]
[2,2,5,3,1,2]=>[4,1,5,6,1,1]
[2,2,5,3,2,1]=>[1,1,2,5,4,1]
[2,3,1,2,2,5]=>[5,6,1,1,1,2]
[2,3,1,2,5,2]=>[4,6,1,1,2,1]
[2,3,1,5,2,2]=>[4,6,1,2,1,1]
[2,3,2,1,2,5]=>[1,2,1,6,1,3]
[2,3,2,1,5,2]=>[1,2,1,4,3,1]
[2,3,2,2,1,5]=>[1,2,4,1,6,1]
[2,3,2,2,5,1]=>[1,2,1,1,6,3]
[2,3,2,5,1,2]=>[1,2,4,6,1,1]
[2,3,2,5,2,1]=>[1,2,1,3,4,1]
[2,3,5,1,2,2]=>[5,6,4,1,1,1]
[2,3,5,2,1,2]=>[2,5,1,4,1,1]
[2,3,5,2,2,1]=>[2,5,1,1,4,1]
[2,5,1,2,2,3]=>[1,6,5,1,1,2]
[2,5,1,2,3,2]=>[1,6,4,1,2,1]
[2,5,1,3,2,2]=>[1,6,4,2,1,1]
[2,5,2,1,2,3]=>[1,3,1,5,1,2]
[2,5,2,1,3,2]=>[1,3,1,4,2,1]
[2,5,2,2,1,3]=>[4,2,1,1,6,1]
[2,5,2,2,3,1]=>[1,3,1,1,5,2]
[2,5,2,3,1,2]=>[4,2,1,6,1,1]
[2,5,2,3,2,1]=>[1,3,1,2,4,1]
[2,5,3,1,2,2]=>[4,6,5,1,1,1]
[2,5,3,2,1,2]=>[1,5,2,4,1,1]
[2,5,3,2,2,1]=>[1,5,2,1,4,1]
[3,1,2,2,2,5]=>[4,2,4,4,1,3]
[3,1,2,2,5,2]=>[3,3,3,5,1,2]
[3,1,2,5,2,2]=>[3,3,5,3,1,2]
[3,1,5,2,2,2]=>[4,3,3,3,1,2]
[3,2,1,2,2,5]=>[6,2,2,2,3,1]
[3,2,1,2,5,2]=>[5,2,2,3,2,1]
[3,2,1,5,2,2]=>[5,2,3,2,2,1]
[3,2,2,1,2,5]=>[2,2,6,2,4,1]
[3,2,2,1,5,2]=>[2,2,5,4,2,1]
[3,2,2,2,1,5]=>[2,2,2,6,4,1]
[3,2,2,2,5,1]=>[2,5,2,6,2,1]
[3,2,2,5,1,2]=>[2,5,6,2,2,1]
[3,2,2,5,2,1]=>[2,2,4,5,2,1]
[3,2,5,1,2,2]=>[6,5,2,2,2,1]
[3,2,5,2,1,2]=>[3,2,5,2,2,1]
[3,2,5,2,2,1]=>[3,2,2,5,2,1]
[3,5,1,2,2,2]=>[6,1,3,3,3,2]
[3,5,2,1,2,2]=>[4,1,4,4,2,3]
[3,5,2,2,1,2]=>[3,1,6,3,3,2]
[3,5,2,2,2,1]=>[3,1,3,6,3,2]
[5,1,2,2,2,3]=>[3,3,1,2,3,6]
[5,1,2,2,3,2]=>[4,4,1,3,2,4]
[5,1,2,3,2,2]=>[3,5,1,2,3,3]
[5,1,3,2,2,2]=>[5,3,1,2,3,3]
[5,2,1,2,2,3]=>[4,2,2,1,2,5]
[5,2,1,2,3,2]=>[6,2,4,1,2,2]
[5,2,1,3,2,2]=>[3,4,2,1,2,2]
[5,2,2,1,2,3]=>[2,4,2,1,2,5]
[5,2,2,1,3,2]=>[2,6,4,1,2,2]
[5,2,2,2,1,3]=>[2,2,2,1,5,6]
[5,2,2,2,3,1]=>[2,2,5,1,2,6]
[5,2,2,3,1,2]=>[2,6,2,1,4,2]
[5,2,2,3,2,1]=>[2,5,2,1,2,4]
[5,2,3,1,2,2]=>[4,3,2,1,2,2]
[5,2,3,2,1,2]=>[6,2,2,1,4,2]
[5,2,3,2,2,1]=>[5,2,2,1,2,4]
[5,3,1,2,2,2]=>[5,3,3,2,1,3]
[5,3,2,1,2,2]=>[3,5,3,2,1,3]
[5,3,2,2,1,2]=>[4,4,2,3,1,4]
[5,3,2,2,2,1]=>[3,3,3,2,1,6]
[1,2,2,2,3,6]=>[1,2,2,2,3,6]
[1,2,2,2,6,3]=>[1,5,2,2,2,6]
[1,2,2,3,2,6]=>[1,2,2,3,2,5]
[1,2,2,3,6,2]=>[1,4,2,6,2,2]
[1,2,2,6,2,3]=>[1,2,2,5,2,3]
[1,2,2,6,3,2]=>[1,2,2,6,3,2]
[1,2,3,2,2,6]=>[1,2,3,2,2,5]
[1,2,3,2,6,2]=>[1,2,3,4,2,2]
[1,2,3,6,2,2]=>[1,4,6,2,2,2]
[1,2,6,2,2,3]=>[1,2,5,2,2,3]
[1,2,6,2,3,2]=>[1,2,6,2,3,2]
[1,2,6,3,2,2]=>[1,2,4,3,2,2]
[1,3,2,2,2,6]=>[2,1,3,3,3,6]
[1,3,2,2,6,2]=>[2,1,3,5,3,3]
[1,3,2,6,2,2]=>[2,1,5,3,3,3]
[1,3,6,2,2,2]=>[3,1,4,4,2,4]
[1,6,2,2,2,3]=>[2,3,3,3,1,4]
[1,6,2,2,3,2]=>[3,2,4,4,1,4]
[1,6,2,3,2,2]=>[2,3,3,4,1,3]
[1,6,3,2,2,2]=>[2,3,4,3,1,3]
[2,1,2,2,3,6]=>[1,6,1,2,1,5]
[2,1,2,2,6,3]=>[3,6,1,1,1,5]
[2,1,2,3,2,6]=>[1,6,1,1,2,4]
[2,1,2,3,6,2]=>[3,4,1,1,5,1]
[2,1,2,6,2,3]=>[1,5,1,1,4,2]
[2,1,2,6,3,2]=>[1,4,1,2,5,1]
[2,1,3,2,2,6]=>[1,6,2,1,1,3]
[2,1,3,2,6,2]=>[1,4,2,1,3,1]
[2,1,3,6,2,2]=>[2,4,5,1,1,1]
[2,1,6,2,2,3]=>[1,5,3,1,1,2]
[2,1,6,2,3,2]=>[1,4,3,1,2,1]
[2,1,6,3,2,2]=>[1,4,5,2,1,1]
[2,2,1,2,3,6]=>[1,1,6,2,1,5]
[2,2,1,2,6,3]=>[3,1,6,1,1,5]
[2,2,1,3,2,6]=>[1,1,6,1,2,4]
[2,2,1,3,6,2]=>[3,1,4,1,5,1]
[2,2,1,6,2,3]=>[1,1,5,1,4,2]
[2,2,1,6,3,2]=>[1,1,4,2,5,1]
[2,2,2,1,3,6]=>[5,1,1,4,6,1]
[2,2,2,1,6,3]=>[4,1,1,5,6,1]
[2,2,2,3,1,6]=>[1,1,1,5,6,2]
[2,2,2,3,6,1]=>[1,1,1,2,6,5]
[2,2,2,6,1,3]=>[5,1,1,1,6,4]
[2,2,2,6,3,1]=>[4,1,1,1,6,5]
[2,2,3,1,2,6]=>[5,1,6,1,1,3]
[2,2,3,1,6,2]=>[4,1,6,1,3,1]
[2,2,3,2,1,6]=>[1,1,2,4,6,1]
[2,2,3,2,6,1]=>[1,1,2,1,6,4]
[2,2,3,6,1,2]=>[5,1,6,4,1,1]
[2,2,3,6,2,1]=>[3,1,5,1,4,1]
[2,2,6,1,2,3]=>[1,1,6,5,1,2]
[2,2,6,1,3,2]=>[1,1,6,4,2,1]
[2,2,6,2,1,3]=>[4,1,3,1,6,1]
[2,2,6,2,3,1]=>[1,1,4,1,5,2]
[2,2,6,3,1,2]=>[4,1,6,5,1,1]
[2,2,6,3,2,1]=>[1,1,5,2,4,1]
[2,3,1,2,2,6]=>[5,6,1,1,1,3]
[2,3,1,2,6,2]=>[4,6,1,1,3,1]
[2,3,1,6,2,2]=>[4,6,2,1,1,1]
[2,3,2,1,2,6]=>[1,2,6,1,1,3]
[2,3,2,1,6,2]=>[1,2,4,1,3,1]
[2,3,2,2,1,6]=>[1,2,1,4,6,1]
[2,3,2,2,6,1]=>[1,2,1,1,6,4]
[2,3,2,6,1,2]=>[1,2,6,4,1,1]
[2,3,2,6,2,1]=>[1,2,3,1,4,1]
[2,3,6,1,2,2]=>[2,5,4,1,1,1]
[2,3,6,2,1,2]=>[5,6,1,4,1,1]
[2,3,6,2,2,1]=>[3,5,1,1,4,1]
[2,6,1,2,2,3]=>[1,3,5,1,1,2]
[2,6,1,2,3,2]=>[1,3,4,1,2,1]
[2,6,1,3,2,2]=>[1,5,4,2,1,1]
[2,6,2,1,2,3]=>[1,6,1,5,1,2]
[2,6,2,1,3,2]=>[1,6,1,4,2,1]
[2,6,2,2,1,3]=>[4,3,1,1,6,1]
[2,6,2,2,3,1]=>[1,4,1,1,5,2]
[2,6,2,3,1,2]=>[4,6,1,5,1,1]
[2,6,2,3,2,1]=>[1,5,1,2,4,1]
[2,6,3,1,2,2]=>[4,2,6,1,1,1]
[2,6,3,2,1,2]=>[1,6,2,4,1,1]
[2,6,3,2,2,1]=>[1,3,2,1,4,1]
[3,1,2,2,2,6]=>[4,4,2,4,1,3]
[3,1,2,2,6,2]=>[3,3,3,6,1,2]
[3,1,2,6,2,2]=>[3,5,3,3,1,2]
[3,1,6,2,2,2]=>[5,3,3,3,1,2]
[3,2,1,2,2,6]=>[6,2,2,2,4,1]
[3,2,1,2,6,2]=>[5,2,2,4,2,1]
[3,2,1,6,2,2]=>[5,3,2,2,2,1]
[3,2,2,1,2,6]=>[2,6,2,2,4,1]
[3,2,2,1,6,2]=>[2,5,2,4,2,1]
[3,2,2,2,1,6]=>[2,2,2,6,5,1]
[3,2,2,2,6,1]=>[2,2,5,6,2,1]
[3,2,2,6,1,2]=>[2,6,5,2,2,1]
[3,2,2,6,2,1]=>[2,4,2,5,2,1]
[3,2,6,1,2,2]=>[3,5,2,2,2,1]
[3,2,6,2,1,2]=>[6,2,5,2,2,1]
[3,2,6,2,2,1]=>[4,2,2,5,2,1]
[3,6,1,2,2,2]=>[6,3,1,3,3,2]
[3,6,2,1,2,2]=>[3,6,1,3,3,2]
[3,6,2,2,1,2]=>[4,4,1,4,2,3]
[3,6,2,2,2,1]=>[3,3,1,6,3,2]
[6,1,2,2,2,3]=>[3,1,2,3,3,5]
[6,1,2,2,3,2]=>[3,1,2,3,5,3]
[6,1,2,3,2,2]=>[4,1,3,2,4,4]
[6,1,3,2,2,2]=>[4,1,2,3,3,3]
[6,2,1,2,2,3]=>[3,2,1,2,2,4]
[6,2,1,2,3,2]=>[3,2,1,2,4,2]
[6,2,1,3,2,2]=>[6,3,1,2,2,2]
[6,2,2,1,2,3]=>[2,2,1,2,4,5]
[6,2,2,1,3,2]=>[2,4,1,2,6,2]
[6,2,2,2,1,3]=>[2,2,1,4,2,6]
[6,2,2,2,3,1]=>[2,4,1,2,2,6]
[6,2,2,3,1,2]=>[2,2,1,4,6,2]
[6,2,2,3,2,1]=>[2,2,1,2,5,4]
[6,2,3,1,2,2]=>[6,2,1,3,2,2]
[6,2,3,2,1,2]=>[4,2,1,2,3,2]
[6,2,3,2,2,1]=>[4,2,1,2,2,3]
[6,3,1,2,2,2]=>[4,3,2,1,3,3]
[6,3,2,1,2,2]=>[4,2,3,1,4,4]
[6,3,2,2,1,2]=>[3,3,2,1,5,3]
[6,3,2,2,2,1]=>[3,3,2,1,3,5]
[1,2,2,2,4,4]=>[1,2,2,2,4,4]
[1,2,2,4,2,4]=>[1,2,2,4,2,4]
[1,2,2,4,4,2]=>[1,2,2,4,4,2]
[1,2,4,2,2,4]=>[1,3,2,2,2,3]
[1,2,4,2,4,2]=>[1,3,2,2,3,2]
[1,2,4,4,2,2]=>[1,3,2,3,2,2]
[1,4,2,2,2,4]=>[2,3,1,3,3,2]
[1,4,2,2,4,2]=>[2,3,1,3,2,3]
[1,4,2,4,2,2]=>[2,3,1,2,3,3]
[1,4,4,2,2,2]=>[2,2,1,3,3,3]
[2,1,2,2,4,4]=>[6,1,1,1,2,2]
[2,1,2,4,2,4]=>[6,1,1,2,1,2]
[2,1,2,4,4,2]=>[4,1,1,2,2,1]
[2,1,4,2,2,4]=>[6,1,2,1,1,2]
[2,1,4,2,4,2]=>[4,1,2,1,2,1]
[2,1,4,4,2,2]=>[4,1,2,2,1,1]
[2,2,1,2,4,4]=>[1,1,6,1,3,3]
[2,2,1,4,2,4]=>[1,1,6,3,1,3]
[2,2,1,4,4,2]=>[1,1,4,3,3,1]
[2,2,2,1,4,4]=>[1,4,1,5,5,1]
[2,2,2,4,1,4]=>[1,1,1,6,3,3]
[2,2,2,4,4,1]=>[1,1,1,3,6,3]
[2,2,4,1,2,4]=>[1,1,3,6,1,3]
[2,2,4,1,4,2]=>[1,1,3,4,3,1]
[2,2,4,2,1,4]=>[1,4,5,1,5,1]
[2,2,4,2,4,1]=>[1,1,3,1,6,3]
[2,2,4,4,1,2]=>[1,4,5,5,1,1]
[2,2,4,4,2,1]=>[1,1,3,3,4,1]
[2,4,1,2,2,4]=>[2,1,6,1,1,2]
[2,4,1,2,4,2]=>[2,1,4,1,2,1]
[2,4,1,4,2,2]=>[2,1,4,2,1,1]
[2,4,2,1,2,4]=>[2,1,1,6,1,2]
[2,4,2,1,4,2]=>[2,1,1,4,2,1]
[2,4,2,2,1,4]=>[5,4,1,1,5,1]
[2,4,2,2,4,1]=>[2,1,1,1,6,2]
[2,4,2,4,1,2]=>[5,4,1,5,1,1]
[2,4,2,4,2,1]=>[2,1,1,2,4,1]
[2,4,4,1,2,2]=>[5,4,5,1,1,1]
[2,4,4,2,1,2]=>[2,1,2,4,1,1]
[2,4,4,2,2,1]=>[2,1,2,1,4,1]
[4,1,2,2,2,4]=>[6,2,2,2,1,1]
[4,1,2,2,4,2]=>[2,3,3,1,1,3]
[4,1,2,4,2,2]=>[5,3,1,3,1,3]
[4,1,4,2,2,2]=>[5,1,3,3,1,3]
[4,2,1,2,2,4]=>[2,6,2,2,1,1]
[4,2,1,2,4,2]=>[3,2,3,1,1,3]
[4,2,1,4,2,2]=>[3,5,1,3,1,3]
[4,2,2,1,2,4]=>[2,2,6,2,1,1]
[4,2,2,1,4,2]=>[3,3,2,1,1,3]
[4,2,2,2,1,4]=>[4,4,4,1,2,1]
[4,2,2,2,4,1]=>[3,3,3,1,1,2]
[4,2,2,4,1,2]=>[4,4,1,1,3,4]
[4,2,2,4,2,1]=>[3,3,1,3,1,6]
[4,2,4,1,2,2]=>[4,1,4,1,3,4]
[4,2,4,2,1,2]=>[3,1,5,3,1,3]
[4,2,4,2,2,1]=>[3,1,3,3,1,6]
[4,4,1,2,2,2]=>[1,4,4,1,3,4]
[4,4,2,1,2,2]=>[1,5,3,3,1,3]
[4,4,2,2,1,2]=>[1,3,5,3,1,3]
[4,4,2,2,2,1]=>[1,3,3,3,1,6]
[1,2,2,2,4,5]=>[1,2,2,4,2,6]
[1,2,2,2,5,4]=>[1,2,4,2,2,6]
[1,2,2,4,2,5]=>[1,2,2,2,4,5]
[1,2,2,4,5,2]=>[1,2,4,2,6,2]
[1,2,2,5,2,4]=>[1,2,2,2,5,4]
[1,2,2,5,4,2]=>[1,2,2,4,6,2]
[1,2,4,2,2,5]=>[1,3,2,2,2,4]
[1,2,4,2,5,2]=>[1,3,2,2,4,2]
[1,2,4,5,2,2]=>[1,6,3,2,2,2]
[1,2,5,2,2,4]=>[1,4,2,2,2,3]
[1,2,5,2,4,2]=>[1,4,2,2,3,2]
[1,2,5,4,2,2]=>[1,6,2,3,2,2]
[1,4,2,2,2,5]=>[2,3,1,3,3,5]
[1,4,2,2,5,2]=>[2,3,1,3,5,3]
[1,4,2,5,2,2]=>[3,4,1,2,4,4]
[1,4,5,2,2,2]=>[2,4,1,3,3,3]
[1,5,2,2,2,4]=>[2,3,3,1,3,5]
[1,5,2,2,4,2]=>[2,3,3,1,5,3]
[1,5,2,4,2,2]=>[3,4,2,1,4,4]
[1,5,4,2,2,2]=>[2,4,3,1,3,3]
[2,1,2,2,4,5]=>[6,1,2,1,1,5]
[2,1,2,2,5,4]=>[6,2,1,1,1,5]
[2,1,2,4,2,5]=>[6,1,1,1,2,3]
[2,1,2,4,5,2]=>[4,2,1,1,5,1]
[2,1,2,5,2,4]=>[5,1,1,1,3,2]
[2,1,2,5,4,2]=>[4,1,2,1,5,1]
[2,1,4,2,2,5]=>[6,1,1,2,1,3]
[2,1,4,2,5,2]=>[4,1,1,2,3,1]
[2,1,4,5,2,2]=>[4,2,1,5,1,1]
[2,1,5,2,2,4]=>[5,1,1,3,1,2]
[2,1,5,2,4,2]=>[4,1,1,3,2,1]
[2,1,5,4,2,2]=>[4,1,2,5,1,1]
[2,2,1,2,4,5]=>[1,1,3,6,1,5]
[2,2,1,2,5,4]=>[1,3,1,6,1,5]
[2,2,1,4,2,5]=>[1,1,1,6,3,4]
[2,2,1,4,5,2]=>[1,3,1,4,5,1]
[2,2,1,5,2,4]=>[1,1,1,5,4,3]
[2,2,1,5,4,2]=>[1,1,3,4,5,1]
[2,2,2,1,4,5]=>[1,5,4,1,6,1]
[2,2,2,1,5,4]=>[1,4,5,1,6,1]
[2,2,2,4,1,5]=>[1,1,5,1,6,3]
[2,2,2,4,5,1]=>[1,1,3,1,6,5]
[2,2,2,5,1,4]=>[1,5,1,1,6,3]
[2,2,2,5,4,1]=>[1,3,1,1,6,5]
[2,2,4,1,2,5]=>[1,5,1,6,1,3]
[2,2,4,1,5,2]=>[1,4,1,6,3,1]
[2,2,4,2,1,5]=>[1,1,4,3,6,1]
[2,2,4,2,5,1]=>[1,1,1,3,6,4]
[2,2,4,5,1,2]=>[1,5,4,6,1,1]
[2,2,4,5,2,1]=>[1,3,1,5,4,1]
[2,2,5,1,2,4]=>[1,1,5,6,1,3]
[2,2,5,1,4,2]=>[1,1,4,6,3,1]
[2,2,5,2,1,4]=>[1,4,1,3,6,1]
[2,2,5,2,4,1]=>[1,1,1,4,5,3]
[2,2,5,4,1,2]=>[1,4,5,6,1,1]
[2,2,5,4,2,1]=>[1,1,3,5,4,1]
[2,4,1,2,2,5]=>[6,5,1,1,1,2]
[2,4,1,2,5,2]=>[6,4,1,1,2,1]
[2,4,1,5,2,2]=>[6,4,1,2,1,1]
[2,4,2,1,2,5]=>[2,1,1,6,1,3]
[2,4,2,1,5,2]=>[2,1,1,4,3,1]
[2,4,2,2,1,5]=>[2,1,4,1,6,1]
[2,4,2,2,5,1]=>[2,1,1,1,6,3]
[2,4,2,5,1,2]=>[2,1,4,6,1,1]
[2,4,2,5,2,1]=>[2,1,1,3,4,1]
[2,4,5,1,2,2]=>[6,5,4,1,1,1]
[2,4,5,2,1,2]=>[5,2,1,4,1,1]
[2,4,5,2,2,1]=>[5,2,1,1,4,1]
[2,5,1,2,2,4]=>[6,1,5,1,1,2]
[2,5,1,2,4,2]=>[6,1,4,1,2,1]
[2,5,1,4,2,2]=>[6,1,4,2,1,1]
[2,5,2,1,2,4]=>[3,1,1,5,1,2]
[2,5,2,1,4,2]=>[3,1,1,4,2,1]
[2,5,2,2,1,4]=>[2,4,1,1,6,1]
[2,5,2,2,4,1]=>[3,1,1,1,5,2]
[2,5,2,4,1,2]=>[2,4,1,6,1,1]
[2,5,2,4,2,1]=>[3,1,1,2,4,1]
[2,5,4,1,2,2]=>[6,4,5,1,1,1]
[2,5,4,2,1,2]=>[5,1,2,4,1,1]
[2,5,4,2,2,1]=>[5,1,2,1,4,1]
[4,1,2,2,2,5]=>[3,3,3,1,2,4]
[4,1,2,2,5,2]=>[2,4,4,1,3,4]
[4,1,2,5,2,2]=>[3,3,4,1,2,3]
[4,1,5,2,2,2]=>[3,4,3,1,2,3]
[4,2,1,2,2,5]=>[2,5,2,2,1,3]
[4,2,1,2,5,2]=>[2,6,2,3,1,2]
[4,2,1,5,2,2]=>[2,4,3,2,1,2]
[4,2,2,1,2,5]=>[2,2,5,2,1,3]
[4,2,2,1,5,2]=>[2,2,6,3,1,2]
[4,2,2,2,1,5]=>[5,2,2,2,1,6]
[4,2,2,2,5,1]=>[2,2,2,3,1,6]
[4,2,2,5,1,2]=>[4,2,6,2,1,2]
[4,2,2,5,2,1]=>[2,2,3,2,1,5]
[4,2,5,1,2,2]=>[4,6,2,2,1,2]
[4,2,5,2,1,2]=>[2,3,4,2,1,2]
[4,2,5,2,2,1]=>[2,3,2,2,1,5]
[4,5,1,2,2,2]=>[1,4,4,2,3,4]
[4,5,2,1,2,2]=>[1,5,3,3,2,3]
[4,5,2,2,1,2]=>[1,3,5,3,2,3]
[4,5,2,2,2,1]=>[1,3,3,3,2,6]
[5,1,2,2,2,4]=>[3,3,1,2,6,3]
[5,1,2,2,4,2]=>[4,4,1,3,4,2]
[5,1,2,4,2,2]=>[3,6,1,2,3,3]
[5,1,4,2,2,2]=>[6,3,1,2,3,3]
[5,2,1,2,2,4]=>[4,2,2,1,5,2]
[5,2,1,2,4,2]=>[6,2,5,1,2,2]
[5,2,1,4,2,2]=>[3,5,2,1,2,2]
[5,2,2,1,2,4]=>[2,4,2,1,5,2]
[5,2,2,1,4,2]=>[2,6,5,1,2,2]
[5,2,2,2,1,4]=>[2,2,2,1,6,5]
[5,2,2,2,4,1]=>[2,2,5,1,6,2]
[5,2,2,4,1,2]=>[2,5,2,1,4,2]
[5,2,2,4,2,1]=>[2,6,2,1,2,4]
[5,2,4,1,2,2]=>[5,3,2,1,2,2]
[5,2,4,2,1,2]=>[5,2,2,1,4,2]
[5,2,4,2,2,1]=>[6,2,2,1,2,4]
[5,4,1,2,2,2]=>[5,3,3,2,3,1]
[5,4,2,1,2,2]=>[3,5,3,2,3,1]
[5,4,2,2,1,2]=>[3,3,3,2,6,1]
[5,4,2,2,2,1]=>[4,4,2,3,4,1]
[1,2,2,2,4,6]=>[1,2,2,2,4,6]
[1,2,2,2,6,4]=>[1,2,5,2,2,6]
[1,2,2,4,2,6]=>[1,2,2,4,2,5]
[1,2,2,4,6,2]=>[1,2,4,6,2,2]
[1,2,2,6,2,4]=>[1,2,2,5,2,4]
[1,2,2,6,4,2]=>[1,2,2,6,4,2]
[1,2,4,2,2,6]=>[1,3,2,2,2,5]
[1,2,4,2,6,2]=>[1,3,2,4,2,2]
[1,2,4,6,2,2]=>[1,6,4,2,2,2]
[1,2,6,2,2,4]=>[1,5,2,2,2,3]
[1,2,6,2,4,2]=>[1,6,2,2,3,2]
[1,2,6,4,2,2]=>[1,4,2,3,2,2]
[1,4,2,2,2,6]=>[2,3,1,3,3,6]
[1,4,2,2,6,2]=>[2,3,1,5,3,3]
[1,4,2,6,2,2]=>[3,4,1,4,2,4]
[1,4,6,2,2,2]=>[2,5,1,3,3,3]
[1,6,2,2,2,4]=>[2,3,3,3,1,5]
[1,6,2,2,4,2]=>[3,4,2,4,1,4]
[1,6,2,4,2,2]=>[2,3,3,5,1,3]
[1,6,4,2,2,2]=>[2,4,3,3,1,3]
[2,1,2,2,4,6]=>[6,1,1,2,1,5]
[2,1,2,2,6,4]=>[6,3,1,1,1,5]
[2,1,2,4,2,6]=>[6,1,1,1,2,4]
[2,1,2,4,6,2]=>[4,3,1,1,5,1]
[2,1,2,6,2,4]=>[5,1,1,1,4,2]
[2,1,2,6,4,2]=>[4,1,1,2,5,1]
[2,1,4,2,2,6]=>[6,1,2,1,1,3]
[2,1,4,2,6,2]=>[4,1,2,1,3,1]
[2,1,4,6,2,2]=>[4,2,5,1,1,1]
[2,1,6,2,2,4]=>[5,1,3,1,1,2]
[2,1,6,2,4,2]=>[4,1,3,1,2,1]
[2,1,6,4,2,2]=>[4,1,5,2,1,1]
[2,2,1,2,4,6]=>[1,1,6,3,1,5]
[2,2,1,2,6,4]=>[1,3,6,1,1,5]
[2,2,1,4,2,6]=>[1,1,6,1,3,4]
[2,2,1,4,6,2]=>[1,3,4,1,5,1]
[2,2,1,6,2,4]=>[1,1,5,1,4,3]
[2,2,1,6,4,2]=>[1,1,4,3,5,1]
[2,2,2,1,4,6]=>[1,5,1,4,6,1]
[2,2,2,1,6,4]=>[1,4,1,5,6,1]
[2,2,2,4,1,6]=>[1,1,1,5,6,3]
[2,2,2,4,6,1]=>[1,1,1,3,6,5]
[2,2,2,6,1,4]=>[1,5,1,1,6,4]
[2,2,2,6,4,1]=>[1,4,1,1,6,5]
[2,2,4,1,2,6]=>[1,5,6,1,1,3]
[2,2,4,1,6,2]=>[1,4,6,1,3,1]
[2,2,4,2,1,6]=>[1,1,3,4,6,1]
[2,2,4,2,6,1]=>[1,1,3,1,6,4]
[2,2,4,6,1,2]=>[1,5,6,4,1,1]
[2,2,4,6,2,1]=>[1,3,5,1,4,1]
[2,2,6,1,2,4]=>[1,1,6,5,1,3]
[2,2,6,1,4,2]=>[1,1,6,4,3,1]
[2,2,6,2,1,4]=>[1,4,3,1,6,1]
[2,2,6,2,4,1]=>[1,1,4,1,5,3]
[2,2,6,4,1,2]=>[1,4,6,5,1,1]
[2,2,6,4,2,1]=>[1,1,5,3,4,1]
[2,4,1,2,2,6]=>[6,5,1,1,1,3]
[2,4,1,2,6,2]=>[6,4,1,1,3,1]
[2,4,1,6,2,2]=>[6,4,2,1,1,1]
[2,4,2,1,2,6]=>[2,1,6,1,1,3]
[2,4,2,1,6,2]=>[2,1,4,1,3,1]
[2,4,2,2,1,6]=>[2,1,1,4,6,1]
[2,4,2,2,6,1]=>[2,1,1,1,6,4]
[2,4,2,6,1,2]=>[2,1,6,4,1,1]
[2,4,2,6,2,1]=>[2,1,3,1,4,1]
[2,4,6,1,2,2]=>[5,2,4,1,1,1]
[2,4,6,2,1,2]=>[6,5,1,4,1,1]
[2,4,6,2,2,1]=>[5,3,1,1,4,1]
[2,6,1,2,2,4]=>[3,1,5,1,1,2]
[2,6,1,2,4,2]=>[3,1,4,1,2,1]
[2,6,1,4,2,2]=>[5,1,4,2,1,1]
[2,6,2,1,2,4]=>[6,1,1,5,1,2]
[2,6,2,1,4,2]=>[6,1,1,4,2,1]
[2,6,2,2,1,4]=>[3,4,1,1,6,1]
[2,6,2,2,4,1]=>[4,1,1,1,5,2]
[2,6,2,4,1,2]=>[6,4,1,5,1,1]
[2,6,2,4,2,1]=>[5,1,1,2,4,1]
[2,6,4,1,2,2]=>[2,4,6,1,1,1]
[2,6,4,2,1,2]=>[6,1,2,4,1,1]
[2,6,4,2,2,1]=>[3,1,2,1,4,1]
[4,1,2,2,2,6]=>[3,3,3,1,2,5]
[4,1,2,2,6,2]=>[4,2,4,1,3,4]
[4,1,2,6,2,2]=>[3,3,5,1,2,3]
[4,1,6,2,2,2]=>[4,3,3,1,2,3]
[4,2,1,2,2,6]=>[5,2,2,2,1,3]
[4,2,1,2,6,2]=>[6,2,2,3,1,2]
[4,2,1,6,2,2]=>[4,2,3,2,1,2]
[4,2,2,1,2,6]=>[2,2,5,2,1,4]
[4,2,2,1,6,2]=>[2,2,6,4,1,2]
[4,2,2,2,1,6]=>[2,5,2,2,1,6]
[4,2,2,2,6,1]=>[2,2,2,4,1,6]
[4,2,2,6,1,2]=>[2,4,6,2,1,2]
[4,2,2,6,2,1]=>[2,2,4,2,1,5]
[4,2,6,1,2,2]=>[6,4,2,2,1,2]
[4,2,6,2,1,2]=>[3,2,4,2,1,2]
[4,2,6,2,2,1]=>[3,2,2,2,1,5]
[4,6,1,2,2,2]=>[5,1,3,3,2,3]
[4,6,2,1,2,2]=>[4,1,4,2,3,4]
[4,6,2,2,1,2]=>[3,1,5,3,2,3]
[4,6,2,2,2,1]=>[3,1,3,3,2,6]
[6,1,2,2,2,4]=>[3,1,2,3,3,6]
[6,1,2,2,4,2]=>[3,1,2,5,3,3]
[6,1,2,4,2,2]=>[4,1,3,4,2,4]
[6,1,4,2,2,2]=>[5,1,2,3,3,3]
[6,2,1,2,2,4]=>[3,2,1,2,2,5]
[6,2,1,2,4,2]=>[3,2,1,4,2,2]
[6,2,1,4,2,2]=>[6,4,1,2,2,2]
[6,2,2,1,2,4]=>[2,2,1,4,2,5]
[6,2,2,1,4,2]=>[2,4,1,6,2,2]
[6,2,2,2,1,4]=>[2,2,1,2,4,6]
[6,2,2,2,4,1]=>[2,5,1,2,2,6]
[6,2,2,4,1,2]=>[2,2,1,6,4,2]
[6,2,2,4,2,1]=>[2,2,1,5,2,4]
[6,2,4,1,2,2]=>[4,2,1,3,2,2]
[6,2,4,2,1,2]=>[6,2,1,2,3,2]
[6,2,4,2,2,1]=>[5,2,1,2,2,3]
[6,4,1,2,2,2]=>[4,3,2,3,1,3]
[6,4,2,1,2,2]=>[3,3,2,5,1,3]
[6,4,2,2,1,2]=>[4,2,3,4,1,4]
[6,4,2,2,2,1]=>[3,3,2,3,1,5]
[1,2,2,2,5,5]=>[1,2,2,2,5,5]
[1,2,2,5,2,5]=>[1,2,4,2,2,4]
[1,2,2,5,5,2]=>[1,2,4,2,4,2]
[1,2,5,2,2,5]=>[1,4,2,2,2,4]
[1,2,5,2,5,2]=>[1,4,2,2,4,2]
[1,2,5,5,2,2]=>[1,3,3,2,2,2]
[1,5,2,2,2,5]=>[2,3,3,1,3,2]
[1,5,2,2,5,2]=>[2,3,3,1,2,3]
[1,5,2,5,2,2]=>[2,3,2,1,3,3]
[1,5,5,2,2,2]=>[2,2,3,1,3,3]
[2,1,2,2,5,5]=>[6,1,1,1,3,3]
[2,1,2,5,2,5]=>[6,1,1,3,1,3]
[2,1,2,5,5,2]=>[4,1,1,3,3,1]
[2,1,5,2,2,5]=>[6,2,1,1,1,2]
[2,1,5,2,5,2]=>[4,2,1,1,2,1]
[2,1,5,5,2,2]=>[4,2,1,2,1,1]
[2,2,1,2,5,5]=>[1,6,1,1,3,3]
[2,2,1,5,2,5]=>[1,6,1,3,1,3]
[2,2,1,5,5,2]=>[1,4,1,3,3,1]
[2,2,2,1,5,5]=>[1,1,4,5,5,1]
[2,2,2,5,1,5]=>[1,1,1,6,4,4]
[2,2,2,5,5,1]=>[1,1,1,4,6,4]
[2,2,5,1,2,5]=>[1,3,1,6,1,3]
[2,2,5,1,5,2]=>[1,3,1,4,3,1]
[2,2,5,2,1,5]=>[1,5,4,1,5,1]
[2,2,5,2,5,1]=>[1,3,1,1,6,3]
[2,2,5,5,1,2]=>[1,5,4,5,1,1]
[2,2,5,5,2,1]=>[1,3,1,3,4,1]
[2,5,1,2,2,5]=>[2,6,1,1,1,2]
[2,5,1,2,5,2]=>[2,4,1,1,2,1]
[2,5,1,5,2,2]=>[2,4,1,2,1,1]
[2,5,2,1,2,5]=>[3,1,1,6,1,3]
[2,5,2,1,5,2]=>[3,1,1,4,3,1]
[2,5,2,2,1,5]=>[5,1,4,1,5,1]
[2,5,2,2,5,1]=>[3,1,1,1,6,3]
[2,5,2,5,1,2]=>[5,1,4,5,1,1]
[2,5,2,5,2,1]=>[3,1,1,3,4,1]
[2,5,5,1,2,2]=>[5,5,4,1,1,1]
[2,5,5,2,1,2]=>[2,2,1,4,1,1]
[2,5,5,2,2,1]=>[2,2,1,1,4,1]
[5,1,2,2,2,5]=>[5,2,2,1,2,1]
[5,1,2,2,5,2]=>[5,2,2,1,1,2]
[5,1,2,5,2,2]=>[2,3,1,1,3,3]
[5,1,5,2,2,2]=>[4,1,3,1,3,3]
[5,2,1,2,2,5]=>[2,5,2,1,2,1]
[5,2,1,2,5,2]=>[2,5,2,1,1,2]
[5,2,1,5,2,2]=>[3,2,1,1,3,3]
[5,2,2,1,2,5]=>[2,2,2,1,6,1]
[5,2,2,1,5,2]=>[3,3,1,1,2,3]
[5,2,2,2,1,5]=>[4,4,1,2,4,1]
[5,2,2,2,5,1]=>[3,3,1,1,3,2]
[5,2,2,5,1,2]=>[4,4,1,2,1,4]
[5,2,2,5,2,1]=>[2,2,2,1,1,6]
[5,2,5,1,2,2]=>[4,1,1,3,4,4]
[5,2,5,2,1,2]=>[3,1,3,1,5,3]
[5,2,5,2,2,1]=>[3,1,3,1,3,5]
[5,5,1,2,2,2]=>[1,4,1,3,4,4]
[5,5,2,1,2,2]=>[1,4,3,1,3,3]
[5,5,2,2,1,2]=>[1,3,3,1,5,3]
[5,5,2,2,2,1]=>[1,3,3,1,3,5]
[1,2,2,2,5,6]=>[1,2,2,2,5,6]
[1,2,2,2,6,5]=>[1,2,2,5,2,6]
[1,2,2,5,2,6]=>[1,2,4,2,2,5]
[1,2,2,5,6,2]=>[1,2,6,4,2,2]
[1,2,2,6,2,5]=>[1,2,5,2,2,4]
[1,2,2,6,5,2]=>[1,2,6,2,4,2]
[1,2,5,2,2,6]=>[1,4,2,2,2,5]
[1,2,5,2,6,2]=>[1,6,2,4,2,2]
[1,2,5,6,2,2]=>[1,3,4,2,2,2]
[1,2,6,2,2,5]=>[1,5,2,2,2,4]
[1,2,6,2,5,2]=>[1,6,2,2,4,2]
[1,2,6,5,2,2]=>[1,4,3,2,2,2]
[1,5,2,2,2,6]=>[2,3,3,1,3,6]
[1,5,2,2,6,2]=>[3,4,4,1,2,4]
[1,5,2,6,2,2]=>[2,3,5,1,3,3]
[1,5,6,2,2,2]=>[2,5,3,1,3,3]
[1,6,2,2,2,5]=>[2,3,3,3,1,6]
[1,6,2,2,5,2]=>[3,4,4,2,1,4]
[1,6,2,5,2,2]=>[2,3,5,3,1,3]
[1,6,5,2,2,2]=>[2,5,3,3,1,3]
[2,1,2,2,5,6]=>[6,1,1,3,1,5]
[2,1,2,2,6,5]=>[6,1,3,1,1,5]
[2,1,2,5,2,6]=>[6,1,1,1,3,4]
[2,1,2,5,6,2]=>[4,1,3,1,5,1]
[2,1,2,6,2,5]=>[5,1,1,1,4,3]
[2,1,2,6,5,2]=>[4,1,1,3,5,1]
[2,1,5,2,2,6]=>[6,2,1,1,1,3]
[2,1,5,2,6,2]=>[4,2,1,1,3,1]
[2,1,5,6,2,2]=>[4,5,2,1,1,1]
[2,1,6,2,2,5]=>[5,3,1,1,1,2]
[2,1,6,2,5,2]=>[4,3,1,1,2,1]
[2,1,6,5,2,2]=>[4,5,1,2,1,1]
[2,2,1,2,5,6]=>[1,6,1,3,1,5]
[2,2,1,2,6,5]=>[1,6,3,1,1,5]
[2,2,1,5,2,6]=>[1,6,1,1,3,4]
[2,2,1,5,6,2]=>[1,4,3,1,5,1]
[2,2,1,6,2,5]=>[1,5,1,1,4,3]
[2,2,1,6,5,2]=>[1,4,1,3,5,1]
[2,2,2,1,5,6]=>[1,1,5,4,6,1]
[2,2,2,1,6,5]=>[1,1,4,5,6,1]
[2,2,2,5,1,6]=>[1,1,1,5,6,4]
[2,2,2,5,6,1]=>[1,1,1,4,6,5]
[2,2,2,6,1,5]=>[1,1,5,1,6,4]
[2,2,2,6,5,1]=>[1,1,4,1,6,5]
[2,2,5,1,2,6]=>[1,6,5,1,1,3]
[2,2,5,1,6,2]=>[1,6,4,1,3,1]
[2,2,5,2,1,6]=>[1,3,1,4,6,1]
[2,2,5,2,6,1]=>[1,3,1,1,6,4]
[2,2,5,6,1,2]=>[1,6,5,4,1,1]
[2,2,5,6,2,1]=>[1,5,3,1,4,1]
[2,2,6,1,2,5]=>[1,6,1,5,1,3]
[2,2,6,1,5,2]=>[1,6,1,4,3,1]
[2,2,6,2,1,5]=>[1,3,4,1,6,1]
[2,2,6,2,5,1]=>[1,4,1,1,5,3]
[2,2,6,5,1,2]=>[1,6,4,5,1,1]
[2,2,6,5,2,1]=>[1,5,1,3,4,1]
[2,5,1,2,2,6]=>[2,6,1,1,1,3]
[2,5,1,2,6,2]=>[2,4,1,1,3,1]
[2,5,1,6,2,2]=>[5,4,2,1,1,1]
[2,5,2,1,2,6]=>[6,1,5,1,1,3]
[2,5,2,1,6,2]=>[6,1,4,1,3,1]
[2,5,2,2,1,6]=>[3,1,1,4,6,1]
[2,5,2,2,6,1]=>[3,1,1,1,6,4]
[2,5,2,6,1,2]=>[6,1,5,4,1,1]
[2,5,2,6,2,1]=>[5,1,3,1,4,1]
[2,5,6,1,2,2]=>[6,2,4,1,1,1]
[2,5,6,2,1,2]=>[2,6,1,4,1,1]
[2,5,6,2,2,1]=>[2,3,1,1,4,1]
[2,6,1,2,2,5]=>[3,5,1,1,1,2]
[2,6,1,2,5,2]=>[3,4,1,1,2,1]
[2,6,1,5,2,2]=>[5,4,1,2,1,1]
[2,6,2,1,2,5]=>[6,1,1,5,1,3]
[2,6,2,1,5,2]=>[6,1,1,4,3,1]
[2,6,2,2,1,5]=>[3,1,4,1,6,1]
[2,6,2,2,5,1]=>[4,1,1,1,5,3]
[2,6,2,5,1,2]=>[6,1,4,5,1,1]
[2,6,2,5,2,1]=>[5,1,1,3,4,1]
[2,6,5,1,2,2]=>[2,6,4,1,1,1]
[2,6,5,2,1,2]=>[6,2,1,4,1,1]
[2,6,5,2,2,1]=>[3,2,1,1,4,1]
[5,1,2,2,2,6]=>[3,3,1,2,3,4]
[5,1,2,2,6,2]=>[3,3,1,2,4,3]
[5,1,2,6,2,2]=>[2,4,1,3,4,4]
[5,1,6,2,2,2]=>[3,4,1,2,3,3]
[5,2,1,2,2,6]=>[2,4,2,1,2,3]
[5,2,1,2,6,2]=>[2,4,2,1,3,2]
[5,2,1,6,2,2]=>[2,6,3,1,2,2]
[5,2,2,1,2,6]=>[2,2,2,1,5,3]
[5,2,2,1,6,2]=>[2,2,3,1,6,2]
[5,2,2,2,1,6]=>[4,2,2,1,2,6]
[5,2,2,2,6,1]=>[2,2,3,1,2,6]
[5,2,2,6,1,2]=>[4,2,2,1,6,2]
[5,2,2,6,2,1]=>[2,2,2,1,3,5]
[5,2,6,1,2,2]=>[3,6,2,1,2,2]
[5,2,6,2,1,2]=>[2,3,2,1,4,2]
[5,2,6,2,2,1]=>[2,3,2,1,2,4]
[5,6,1,2,2,2]=>[1,4,2,3,4,4]
[5,6,2,1,2,2]=>[1,4,3,2,3,3]
[5,6,2,2,1,2]=>[1,3,3,2,5,3]
[5,6,2,2,2,1]=>[1,3,3,2,3,5]
[6,1,2,2,2,5]=>[3,1,2,3,6,3]
[6,1,2,2,5,2]=>[3,1,2,6,3,3]
[6,1,2,5,2,2]=>[4,1,3,4,4,2]
[6,1,5,2,2,2]=>[6,1,2,3,3,3]
[6,2,1,2,2,5]=>[3,2,1,2,5,2]
[6,2,1,2,5,2]=>[3,2,1,5,2,2]
[6,2,1,5,2,2]=>[6,5,1,2,2,2]
[6,2,2,1,2,5]=>[2,2,1,4,5,2]
[6,2,2,1,5,2]=>[2,5,1,6,2,2]
[6,2,2,2,1,5]=>[2,2,1,2,6,4]
[6,2,2,2,5,1]=>[2,5,1,2,6,2]
[6,2,2,5,1,2]=>[2,2,1,5,4,2]
[6,2,2,5,2,1]=>[2,2,1,6,2,4]
[6,2,5,1,2,2]=>[5,2,1,3,2,2]
[6,2,5,2,1,2]=>[5,2,1,2,3,2]
[6,2,5,2,2,1]=>[6,2,1,2,2,3]
[6,5,1,2,2,2]=>[4,3,2,3,3,1]
[6,5,2,1,2,2]=>[3,3,2,5,3,1]
[6,5,2,2,1,2]=>[3,3,2,3,5,1]
[6,5,2,2,2,1]=>[4,2,3,4,4,1]
[1,2,2,3,3,3]=>[1,2,2,3,3,3]
[1,2,3,2,3,3]=>[1,2,3,2,3,3]
[1,2,3,3,2,3]=>[1,2,3,3,2,3]
[1,2,3,3,3,2]=>[1,2,3,3,3,2]
[1,3,2,2,3,3]=>[2,1,3,3,2,2]
[1,3,2,3,2,3]=>[2,1,3,2,3,2]
[1,3,2,3,3,2]=>[2,1,3,2,2,3]
[1,3,3,2,2,3]=>[2,1,2,3,3,2]
[1,3,3,2,3,2]=>[2,1,2,3,2,3]
[1,3,3,3,2,2]=>[2,1,2,2,3,3]
[2,1,2,3,3,3]=>[1,6,1,2,2,2]
[2,1,3,2,3,3]=>[1,6,2,1,2,2]
[2,1,3,3,2,3]=>[1,6,2,2,1,2]
[2,1,3,3,3,2]=>[1,3,2,2,2,1]
[2,2,1,3,3,3]=>[3,1,4,4,4,1]
[2,2,3,1,3,3]=>[1,1,6,2,2,2]
[2,2,3,3,1,3]=>[1,1,2,6,2,2]
[2,2,3,3,3,1]=>[1,1,2,2,6,2]
[2,3,1,2,3,3]=>[1,2,6,1,2,2]
[2,3,1,3,2,3]=>[1,2,6,2,1,2]
[2,3,1,3,3,2]=>[1,2,3,2,2,1]
[2,3,2,1,3,3]=>[3,4,1,4,4,1]
[2,3,2,3,1,3]=>[1,2,1,6,2,2]
[2,3,2,3,3,1]=>[1,2,1,2,6,2]
[2,3,3,1,2,3]=>[1,2,2,6,1,2]
[2,3,3,1,3,2]=>[1,2,2,3,2,1]
[2,3,3,2,1,3]=>[3,4,4,1,4,1]
[2,3,3,2,3,1]=>[1,2,2,1,6,2]
[2,3,3,3,1,2]=>[3,4,4,4,1,1]
[2,3,3,3,2,1]=>[1,2,2,2,3,1]
[3,1,2,2,3,3]=>[3,4,4,1,1,1]
[3,1,2,3,2,3]=>[3,4,1,4,1,1]
[3,1,2,3,3,2]=>[6,4,1,1,4,1]
[3,1,3,2,2,3]=>[3,1,4,4,1,1]
[3,1,3,2,3,2]=>[6,1,4,1,4,1]
[3,1,3,3,2,2]=>[6,1,1,4,4,1]
[3,2,1,2,3,3]=>[4,3,4,1,1,1]
[3,2,1,3,2,3]=>[4,3,1,4,1,1]
[3,2,1,3,3,2]=>[4,6,1,1,4,1]
[3,2,2,1,3,3]=>[4,4,3,1,1,1]
[3,2,2,3,1,3]=>[4,4,1,3,1,1]
[3,2,2,3,3,1]=>[5,5,1,1,1,4]
[3,2,3,1,2,3]=>[4,1,3,4,1,1]
[3,2,3,1,3,2]=>[4,1,6,1,4,1]
[3,2,3,2,1,3]=>[4,1,4,3,1,1]
[3,2,3,2,3,1]=>[5,1,5,1,1,4]
[3,2,3,3,1,2]=>[5,1,1,5,1,4]
[3,2,3,3,2,1]=>[4,1,1,6,4,1]
[3,3,1,2,2,3]=>[1,3,4,4,1,1]
[3,3,1,2,3,2]=>[1,6,4,1,4,1]
[3,3,1,3,2,2]=>[1,6,1,4,4,1]
[3,3,2,1,2,3]=>[1,4,3,4,1,1]
[3,3,2,1,3,2]=>[1,4,6,1,4,1]
[3,3,2,2,1,3]=>[1,4,4,3,1,1]
[3,3,2,2,3,1]=>[1,5,5,1,1,4]
[3,3,2,3,1,2]=>[1,5,1,5,1,4]
[3,3,2,3,2,1]=>[1,4,1,6,4,1]
[3,3,3,1,2,2]=>[1,1,5,5,1,4]
[3,3,3,2,1,2]=>[1,1,6,4,4,1]
[3,3,3,2,2,1]=>[1,1,4,6,4,1]
[1,2,2,3,3,4]=>[1,2,3,2,3,5]
[1,2,2,3,4,3]=>[1,2,3,2,5,3]
[1,2,2,4,3,3]=>[1,3,2,2,5,5]
[1,2,3,2,3,4]=>[1,2,3,3,2,5]
[1,2,3,2,4,3]=>[1,3,2,5,2,5]
[1,2,3,3,2,4]=>[1,2,2,3,3,4]
[1,2,3,3,4,2]=>[1,3,2,5,5,2]
[1,2,3,4,2,3]=>[1,2,2,3,4,3]
[1,2,3,4,3,2]=>[1,2,3,3,5,2]
[1,2,4,2,3,3]=>[1,2,2,4,3,3]
[1,2,4,3,2,3]=>[1,2,3,5,2,3]
[1,2,4,3,3,2]=>[1,2,3,5,3,2]
[1,3,2,2,3,4]=>[2,1,2,3,3,4]
[1,3,2,2,4,3]=>[3,1,2,5,5,2]
[1,3,2,3,2,4]=>[2,1,3,3,2,5]
[1,3,2,3,4,2]=>[3,1,2,5,2,5]
[1,3,2,4,2,3]=>[2,1,3,3,5,2]
[1,3,2,4,3,2]=>[2,1,2,3,4,3]
[1,3,3,2,2,4]=>[2,1,3,2,3,5]
[1,3,3,2,4,2]=>[2,1,3,2,5,3]
[1,3,3,4,2,2]=>[3,1,2,2,5,5]
[1,3,4,2,2,3]=>[2,1,3,5,3,2]
[1,3,4,2,3,2]=>[2,1,3,5,2,3]
[1,3,4,3,2,2]=>[2,1,2,4,3,3]
[1,4,2,2,3,3]=>[2,3,1,3,4,4]
[1,4,2,3,2,3]=>[2,3,1,4,3,4]
[1,4,2,3,3,2]=>[2,3,1,4,4,3]
[1,4,3,2,2,3]=>[3,2,1,4,4,3]
[1,4,3,2,3,2]=>[3,2,1,4,3,4]
[1,4,3,3,2,2]=>[3,2,1,3,4,4]
[2,1,2,3,3,4]=>[1,2,6,1,2,4]
[2,1,2,3,4,3]=>[1,2,5,1,4,2]
[2,1,2,4,3,3]=>[2,1,6,1,4,4]
[2,1,3,2,3,4]=>[1,2,6,2,1,4]
[2,1,3,2,4,3]=>[2,1,6,4,1,4]
[2,1,3,3,2,4]=>[1,1,6,2,2,3]
[2,1,3,3,4,2]=>[2,1,3,4,4,1]
[2,1,3,4,2,3]=>[1,1,5,2,3,2]
[2,1,3,4,3,2]=>[1,2,3,2,4,1]
[2,1,4,2,3,3]=>[1,1,5,3,2,2]
[2,1,4,3,2,3]=>[1,2,5,4,1,2]
[2,1,4,3,3,2]=>[1,2,3,4,2,1]
[2,2,1,3,3,4]=>[4,3,1,5,5,1]
[2,2,1,3,4,3]=>[3,4,1,4,5,1]
[2,2,1,4,3,3]=>[3,4,1,5,4,1]
[2,2,3,1,3,4]=>[1,2,1,6,2,4]
[2,2,3,1,4,3]=>[1,2,1,5,4,2]
[2,2,3,3,1,4]=>[1,5,1,2,6,2]
[2,2,3,3,4,1]=>[1,2,1,2,6,4]
[2,2,3,4,1,3]=>[1,5,1,6,2,2]
[2,2,3,4,3,1]=>[1,2,1,4,5,2]
[2,2,4,1,3,3]=>[4,1,1,5,5,2]
[2,2,4,3,1,3]=>[2,1,1,6,4,4]
[2,2,4,3,3,1]=>[2,1,1,4,6,4]
[2,3,1,2,3,4]=>[1,2,2,6,1,4]
[2,3,1,2,4,3]=>[2,1,4,6,1,4]
[2,3,1,3,2,4]=>[1,1,2,6,2,3]
[2,3,1,3,4,2]=>[2,1,4,3,4,1]
[2,3,1,4,2,3]=>[1,1,2,5,3,2]
[2,3,1,4,3,2]=>[1,2,2,3,4,1]
[2,3,2,1,3,4]=>[4,3,5,1,5,1]
[2,3,2,1,4,3]=>[3,4,4,1,5,1]
[2,3,2,3,1,4]=>[1,5,2,1,6,2]
[2,3,2,3,4,1]=>[1,2,2,1,6,4]
[2,3,2,4,1,3]=>[4,1,5,1,5,2]
[2,3,2,4,3,1]=>[2,1,4,1,6,4]
[2,3,3,1,2,4]=>[4,1,5,5,1,2]
[2,3,3,1,4,2]=>[3,1,5,5,2,1]
[2,3,3,2,1,4]=>[1,3,2,2,6,1]
[2,3,3,2,4,1]=>[1,1,2,2,6,3]
[2,3,3,4,1,2]=>[4,3,5,5,1,1]
[2,3,3,4,2,1]=>[2,1,4,4,3,1]
[2,3,4,1,2,3]=>[1,5,2,6,1,2]
[2,3,4,1,3,2]=>[1,3,2,6,2,1]
[2,3,4,2,1,3]=>[3,1,5,2,5,1]
[2,3,4,2,3,1]=>[1,1,2,3,5,2]
[2,3,4,3,1,2]=>[3,4,4,5,1,1]
[2,3,4,3,2,1]=>[1,2,2,4,3,1]
[2,4,1,2,3,3]=>[1,5,6,1,2,2]
[2,4,1,3,2,3]=>[1,5,6,2,1,2]
[2,4,1,3,3,2]=>[1,3,6,2,2,1]
[2,4,2,1,3,3]=>[3,1,2,5,5,1]
[2,4,2,3,1,3]=>[1,1,3,5,2,2]
[2,4,2,3,3,1]=>[1,1,3,2,5,2]
[2,4,3,1,2,3]=>[1,2,4,5,1,2]
[2,4,3,1,3,2]=>[1,2,4,3,2,1]
[2,4,3,2,1,3]=>[3,4,5,1,4,1]
[2,4,3,2,3,1]=>[1,2,4,1,5,2]
[2,4,3,3,1,2]=>[3,4,5,4,1,1]
[2,4,3,3,2,1]=>[1,2,4,2,3,1]
[3,1,2,2,3,4]=>[1,3,4,4,1,2]
[3,1,2,2,4,3]=>[1,4,3,3,2,1]
[3,1,2,3,2,4]=>[3,6,3,1,4,1]
[3,1,2,3,4,2]=>[1,6,4,1,4,2]
[3,1,2,4,2,3]=>[3,2,3,5,1,1]
[3,1,2,4,3,2]=>[1,6,3,2,3,1]
[3,1,3,2,2,4]=>[3,6,1,3,4,1]
[3,1,3,2,4,2]=>[3,5,1,4,3,1]
[3,1,3,4,2,2]=>[1,6,1,4,4,2]
[3,1,4,2,2,3]=>[3,2,5,3,1,1]
[3,1,4,2,3,2]=>[3,5,4,1,3,1]
[3,1,4,3,2,2]=>[1,6,2,3,3,1]
[3,2,1,2,3,4]=>[1,4,3,4,1,2]
[3,2,1,2,4,3]=>[1,3,4,3,2,1]
[3,2,1,3,2,4]=>[3,3,6,1,4,1]
[3,2,1,3,4,2]=>[1,4,6,1,4,2]
[3,2,1,4,2,3]=>[3,3,2,5,1,1]
[3,2,1,4,3,2]=>[1,3,6,2,3,1]
[3,2,2,1,3,4]=>[1,4,4,3,1,2]
[3,2,2,1,4,3]=>[1,3,3,4,2,1]
[3,2,2,3,1,4]=>[3,5,5,1,1,4]
[3,2,2,3,4,1]=>[1,5,5,1,2,4]
[3,2,2,4,1,3]=>[2,3,3,4,1,1]
[3,2,2,4,3,1]=>[1,5,5,2,1,3]
[3,2,3,1,2,4]=>[3,5,1,5,1,4]
[3,2,3,1,4,2]=>[4,4,1,5,1,3]
[3,2,3,2,1,4]=>[3,3,1,6,4,1]
[3,2,3,2,4,1]=>[5,3,1,6,3,1]
[3,2,3,4,1,2]=>[1,5,1,5,2,4]
[3,2,3,4,2,1]=>[1,4,1,6,4,2]
[3,2,4,1,2,3]=>[2,3,4,3,1,1]
[3,2,4,1,3,2]=>[5,3,6,1,3,1]
[3,2,4,2,1,3]=>[3,3,5,2,1,1]
[3,2,4,2,3,1]=>[4,4,5,1,1,3]
[3,2,4,3,1,2]=>[1,5,2,5,1,3]
[3,2,4,3,2,1]=>[1,3,2,6,3,1]
[3,3,1,2,2,4]=>[3,1,5,5,1,4]
[3,3,1,2,4,2]=>[4,1,4,5,1,3]
[3,3,1,4,2,2]=>[4,1,5,4,1,3]
[3,3,2,1,2,4]=>[3,1,6,3,4,1]
[3,3,2,1,4,2]=>[3,1,5,4,3,1]
[3,3,2,2,1,4]=>[3,1,3,6,4,1]
[3,3,2,2,4,1]=>[5,1,3,6,3,1]
[3,3,2,4,1,2]=>[5,1,6,3,3,1]
[3,3,2,4,2,1]=>[3,1,4,5,3,1]
[3,3,4,1,2,2]=>[1,1,5,5,2,4]
[3,3,4,2,1,2]=>[1,1,6,4,4,2]
[3,3,4,2,2,1]=>[1,1,4,6,4,2]
[3,4,1,2,2,3]=>[2,4,3,3,1,1]
[3,4,1,2,3,2]=>[5,6,3,1,3,1]
[3,4,1,3,2,2]=>[5,6,1,3,3,1]
[3,4,2,1,2,3]=>[3,5,2,3,1,1]
[3,4,2,1,3,2]=>[3,4,5,1,3,1]
[3,4,2,2,1,3]=>[3,5,3,2,1,1]
[3,4,2,2,3,1]=>[4,5,4,1,1,3]
[3,4,2,3,1,2]=>[4,5,1,4,1,3]
[3,4,2,3,2,1]=>[3,4,1,5,3,1]
[3,4,3,1,2,2]=>[1,2,5,5,1,3]
[3,4,3,2,1,2]=>[1,2,6,3,3,1]
[3,4,3,2,2,1]=>[1,2,3,6,3,1]
[4,1,2,2,3,3]=>[5,5,3,1,3,2]
[4,1,2,3,2,3]=>[5,3,5,1,3,2]
[4,1,2,3,3,2]=>[3,5,5,1,2,3]
[4,1,3,2,2,3]=>[3,5,5,1,3,2]
[4,1,3,2,3,2]=>[5,3,5,1,2,3]
[4,1,3,3,2,2]=>[5,5,3,1,2,3]
[4,2,1,2,3,3]=>[6,2,4,4,1,2]
[4,2,1,3,2,3]=>[6,4,2,4,1,2]
[4,2,1,3,3,2]=>[3,4,4,2,1,2]
[4,2,2,1,3,3]=>[2,6,4,4,1,2]
[4,2,2,3,1,3]=>[2,4,6,4,1,2]
[4,2,2,3,3,1]=>[2,5,5,2,1,4]
[4,2,3,1,2,3]=>[4,6,2,4,1,2]
[4,2,3,1,3,2]=>[4,3,4,2,1,2]
[4,2,3,2,1,3]=>[4,2,6,4,1,2]
[4,2,3,2,3,1]=>[5,2,5,2,1,4]
[4,2,3,3,1,2]=>[4,4,3,2,1,2]
[4,2,3,3,2,1]=>[5,5,2,2,1,4]
[4,3,1,2,2,3]=>[3,4,4,2,2,1]
[4,3,1,2,3,2]=>[6,4,2,4,2,1]
[4,3,1,3,2,2]=>[6,2,4,4,2,1]
[4,3,2,1,2,3]=>[4,3,4,2,2,1]
[4,3,2,1,3,2]=>[4,6,2,4,2,1]
[4,3,2,2,1,3]=>[4,4,3,2,2,1]
[4,3,2,2,3,1]=>[5,5,2,2,4,1]
[4,3,2,3,1,2]=>[4,2,6,4,2,1]
[4,3,2,3,2,1]=>[5,2,5,2,4,1]
[4,3,3,1,2,2]=>[2,6,4,4,2,1]
[4,3,3,2,1,2]=>[2,4,6,4,2,1]
[4,3,3,2,2,1]=>[2,5,5,2,4,1]
[1,2,2,3,3,5]=>[1,2,2,3,3,5]
[1,2,2,3,5,3]=>[1,2,2,3,5,3]
[1,2,2,5,3,3]=>[1,4,2,2,5,5]
[1,2,3,2,3,5]=>[1,2,3,3,2,6]
[1,2,3,2,5,3]=>[1,3,5,2,2,5]
[1,2,3,3,2,5]=>[1,2,3,2,3,4]
[1,2,3,3,5,2]=>[1,3,5,2,5,2]
[1,2,3,5,2,3]=>[1,2,3,2,4,3]
[1,2,3,5,3,2]=>[1,2,3,3,6,2]
[1,2,5,2,3,3]=>[1,2,4,2,3,3]
[1,2,5,3,2,3]=>[1,2,5,3,2,3]
[1,2,5,3,3,2]=>[1,2,5,3,3,2]
[1,3,2,2,3,5]=>[2,1,3,2,3,4]
[1,3,2,2,5,3]=>[3,1,5,2,5,2]
[1,3,2,3,2,5]=>[2,1,3,3,2,6]
[1,3,2,3,5,2]=>[3,1,5,2,2,5]
[1,3,2,5,2,3]=>[2,1,3,3,6,2]
[1,3,2,5,3,2]=>[2,1,3,2,4,3]
[1,3,3,2,2,5]=>[2,1,2,3,3,5]
[1,3,3,2,5,2]=>[2,1,2,3,5,3]
[1,3,3,5,2,2]=>[4,1,2,2,5,5]
[1,3,5,2,2,3]=>[2,1,5,3,3,2]
[1,3,5,2,3,2]=>[2,1,5,3,2,3]
[1,3,5,3,2,2]=>[2,1,4,2,3,3]
[1,5,2,2,3,3]=>[2,3,3,1,4,4]
[1,5,2,3,2,3]=>[3,2,4,1,4,3]
[1,5,2,3,3,2]=>[3,2,4,1,3,4]
[1,5,3,2,2,3]=>[2,3,4,1,3,4]
[1,5,3,2,3,2]=>[2,3,4,1,4,3]
[1,5,3,3,2,2]=>[3,2,3,1,4,4]
[2,1,2,3,3,5]=>[1,6,2,1,2,4]
[2,1,2,3,5,3]=>[1,5,2,1,4,2]
[2,1,2,5,3,3]=>[2,6,1,1,4,4]
[2,1,3,2,3,5]=>[1,6,2,2,1,4]
[2,1,3,2,5,3]=>[2,6,1,4,1,4]
[2,1,3,3,2,5]=>[1,6,1,2,2,3]
[2,1,3,3,5,2]=>[2,3,1,4,4,1]
[2,1,3,5,2,3]=>[1,5,1,2,3,2]
[2,1,3,5,3,2]=>[1,3,2,2,4,1]
[2,1,5,2,3,3]=>[1,5,1,3,2,2]
[2,1,5,3,2,3]=>[1,5,2,4,1,2]
[2,1,5,3,3,2]=>[1,3,2,4,2,1]
[2,2,1,3,3,5]=>[4,1,3,5,5,1]
[2,2,1,3,5,3]=>[3,1,4,4,5,1]
[2,2,1,5,3,3]=>[3,1,4,5,4,1]
[2,2,3,1,3,5]=>[1,1,2,6,2,4]
[2,2,3,1,5,3]=>[1,1,2,5,4,2]
[2,2,3,3,1,5]=>[1,1,5,2,6,2]
[2,2,3,3,5,1]=>[1,1,2,2,6,4]
[2,2,3,5,1,3]=>[1,1,5,6,2,2]
[2,2,3,5,3,1]=>[1,1,2,4,5,2]
[2,2,5,1,3,3]=>[4,1,1,5,5,3]
[2,2,5,3,1,3]=>[3,1,1,6,4,4]
[2,2,5,3,3,1]=>[3,1,1,4,6,4]
[2,3,1,2,3,5]=>[1,2,2,6,1,5]
[2,3,1,2,5,3]=>[2,4,1,6,1,4]
[2,3,1,3,2,5]=>[1,2,1,6,2,3]
[2,3,1,3,5,2]=>[2,4,1,3,4,1]
[2,3,1,5,2,3]=>[1,2,1,5,3,2]
[2,3,1,5,3,2]=>[1,2,2,3,5,1]
[2,3,2,1,3,5]=>[4,5,3,1,5,1]
[2,3,2,1,5,3]=>[3,4,4,1,6,1]
[2,3,2,3,1,5]=>[1,2,5,1,6,2]
[2,3,2,3,5,1]=>[1,2,2,1,6,5]
[2,3,2,5,1,3]=>[4,5,1,1,5,2]
[2,3,2,5,3,1]=>[2,4,1,1,6,4]
[2,3,3,1,2,5]=>[4,5,1,5,1,2]
[2,3,3,1,5,2]=>[3,5,1,5,2,1]
[2,3,3,2,1,5]=>[1,2,3,2,6,1]
[2,3,3,2,5,1]=>[1,2,1,2,6,3]
[2,3,3,5,1,2]=>[4,5,3,5,1,1]
[2,3,3,5,2,1]=>[2,4,1,4,3,1]
[2,3,5,1,2,3]=>[1,2,5,6,1,2]
[2,3,5,1,3,2]=>[1,2,3,6,2,1]
[2,3,5,2,1,3]=>[3,5,1,2,5,1]
[2,3,5,2,3,1]=>[1,2,1,3,5,2]
[2,3,5,3,1,2]=>[3,4,4,6,1,1]
[2,3,5,3,2,1]=>[1,2,2,5,3,1]
[2,5,1,2,3,3]=>[1,6,5,1,2,2]
[2,5,1,3,2,3]=>[1,6,5,2,1,2]
[2,5,1,3,3,2]=>[1,6,3,2,2,1]
[2,5,2,1,3,3]=>[3,2,1,5,5,1]
[2,5,2,3,1,3]=>[1,3,1,5,2,2]
[2,5,2,3,3,1]=>[1,3,1,2,5,2]
[2,5,3,1,2,3]=>[1,4,2,5,1,2]
[2,5,3,1,3,2]=>[1,4,2,3,2,1]
[2,5,3,2,1,3]=>[3,5,4,1,4,1]
[2,5,3,2,3,1]=>[1,4,2,1,5,2]
[2,5,3,3,1,2]=>[3,5,4,4,1,1]
[2,5,3,3,2,1]=>[1,4,2,2,3,1]
[3,1,2,2,3,5]=>[3,1,4,4,1,2]
[3,1,2,2,5,3]=>[4,1,3,3,2,1]
[3,1,2,3,2,5]=>[6,3,3,1,4,1]
[3,1,2,3,5,2]=>[6,1,4,1,4,2]
[3,1,2,5,2,3]=>[2,3,3,5,1,1]
[3,1,2,5,3,2]=>[6,1,3,2,3,1]
[3,1,3,2,2,5]=>[6,3,1,3,4,1]
[3,1,3,2,5,2]=>[5,3,1,4,3,1]
[3,1,3,5,2,2]=>[6,1,1,4,4,2]
[3,1,5,2,2,3]=>[2,3,5,3,1,1]
[3,1,5,2,3,2]=>[5,3,4,1,3,1]
[3,1,5,3,2,2]=>[6,1,2,3,3,1]
[3,2,1,2,3,5]=>[4,1,3,4,1,2]
[3,2,1,2,5,3]=>[3,1,4,3,2,1]
[3,2,1,3,2,5]=>[3,3,6,1,5,1]
[3,2,1,3,5,2]=>[4,1,6,1,4,2]
[3,2,1,5,2,3]=>[3,3,2,6,1,1]
[3,2,1,5,3,2]=>[3,1,6,2,3,1]
[3,2,2,1,3,5]=>[4,1,4,3,1,2]
[3,2,2,1,5,3]=>[3,1,3,4,2,1]
[3,2,2,3,1,5]=>[5,3,5,1,1,4]
[3,2,2,3,5,1]=>[5,1,5,1,2,4]
[3,2,2,5,1,3]=>[3,2,3,4,1,1]
[3,2,2,5,3,1]=>[5,1,5,2,1,3]
[3,2,3,1,2,5]=>[5,3,1,5,1,4]
[3,2,3,1,5,2]=>[4,4,1,6,1,3]
[3,2,3,2,1,5]=>[3,3,1,6,5,1]
[3,2,3,2,5,1]=>[3,5,1,6,3,1]
[3,2,3,5,1,2]=>[5,1,1,5,2,4]
[3,2,3,5,2,1]=>[4,1,1,6,4,2]
[3,2,5,1,2,3]=>[3,2,4,3,1,1]
[3,2,5,1,3,2]=>[3,5,6,1,3,1]
[3,2,5,2,1,3]=>[3,3,6,2,1,1]
[3,2,5,2,3,1]=>[4,4,6,1,1,3]
[3,2,5,3,1,2]=>[5,1,2,5,1,3]
[3,2,5,3,2,1]=>[3,1,2,6,3,1]
[3,3,1,2,2,5]=>[1,3,5,5,1,4]
[3,3,1,2,5,2]=>[1,4,4,5,1,3]
[3,3,1,5,2,2]=>[1,4,5,4,1,3]
[3,3,2,1,2,5]=>[1,3,6,3,4,1]
[3,3,2,1,5,2]=>[1,3,5,4,3,1]
[3,3,2,2,1,5]=>[1,3,3,6,4,1]
[3,3,2,2,5,1]=>[1,5,3,6,3,1]
[3,3,2,5,1,2]=>[1,5,6,3,3,1]
[3,3,2,5,2,1]=>[1,3,4,5,3,1]
[3,3,5,1,2,2]=>[1,1,5,5,3,4]
[3,3,5,2,1,2]=>[1,1,6,4,4,3]
[3,3,5,2,2,1]=>[1,1,4,6,4,3]
[3,5,1,2,2,3]=>[4,2,3,3,1,1]
[3,5,1,2,3,2]=>[6,5,3,1,3,1]
[3,5,1,3,2,2]=>[6,5,1,3,3,1]
[3,5,2,1,2,3]=>[5,3,2,3,1,1]
[3,5,2,1,3,2]=>[4,3,5,1,3,1]
[3,5,2,2,1,3]=>[5,3,3,2,1,1]
[3,5,2,2,3,1]=>[5,4,4,1,1,3]
[3,5,2,3,1,2]=>[5,4,1,4,1,3]
[3,5,2,3,2,1]=>[4,3,1,5,3,1]
[3,5,3,1,2,2]=>[2,1,5,5,1,3]
[3,5,3,2,1,2]=>[2,1,6,3,3,1]
[3,5,3,2,2,1]=>[2,1,3,6,3,1]
[5,1,2,2,3,3]=>[4,4,1,3,2,3]
[5,1,2,3,2,3]=>[3,5,1,2,3,5]
[5,1,2,3,3,2]=>[5,3,1,3,2,5]
[5,1,3,2,2,3]=>[5,3,1,2,3,5]
[5,1,3,2,3,2]=>[3,5,1,3,2,5]
[5,1,3,3,2,2]=>[4,4,1,2,3,3]
[5,2,1,2,3,3]=>[5,2,4,1,2,4]
[5,2,1,3,2,3]=>[3,4,2,1,2,4]
[5,2,1,3,3,2]=>[6,3,3,1,2,2]
[5,2,2,1,3,3]=>[2,5,4,1,2,4]
[5,2,2,3,1,3]=>[2,5,2,1,4,5]
[5,2,2,3,3,1]=>[2,4,4,1,2,6]
[5,2,3,1,2,3]=>[4,3,2,1,2,4]
[5,2,3,1,3,2]=>[3,6,3,1,2,2]
[5,2,3,2,1,3]=>[5,2,2,1,4,5]
[5,2,3,2,3,1]=>[4,2,4,1,2,6]
[5,2,3,3,1,2]=>[5,5,2,1,3,2]
[5,2,3,3,2,1]=>[4,4,2,1,2,3]
[5,3,1,2,2,3]=>[6,3,3,2,1,2]
[5,3,1,2,3,2]=>[3,4,2,2,1,4]
[5,3,1,3,2,2]=>[5,2,4,2,1,4]
[5,3,2,1,2,3]=>[3,6,3,2,1,2]
[5,3,2,1,3,2]=>[4,3,2,2,1,4]
[5,3,2,2,1,3]=>[5,5,2,3,1,2]
[5,3,2,2,3,1]=>[4,4,2,2,1,3]
[5,3,2,3,1,2]=>[5,2,2,4,1,5]
[5,3,2,3,2,1]=>[4,2,4,2,1,6]
[5,3,3,1,2,2]=>[2,5,4,2,1,4]
[5,3,3,2,1,2]=>[2,5,2,4,1,5]
[5,3,3,2,2,1]=>[2,4,4,2,1,6]
[1,2,2,3,3,6]=>[1,2,2,3,3,6]
[1,2,2,3,6,3]=>[1,2,2,5,3,3]
[1,2,2,6,3,3]=>[1,4,2,5,2,5]
[1,2,3,2,3,6]=>[1,2,3,2,3,6]
[1,2,3,2,6,3]=>[1,4,5,2,2,5]
[1,2,3,3,2,6]=>[1,2,3,3,2,4]
[1,2,3,3,6,2]=>[1,3,5,5,2,2]
[1,2,3,6,2,3]=>[1,2,3,4,2,3]
[1,2,3,6,3,2]=>[1,2,3,6,3,2]
[1,2,6,2,3,3]=>[1,2,5,2,3,3]
[1,2,6,3,2,3]=>[1,2,4,3,2,3]
[1,2,6,3,3,2]=>[1,2,6,3,3,2]
[1,3,2,2,3,6]=>[2,1,3,3,2,4]
[1,3,2,2,6,3]=>[3,1,5,5,2,2]
[1,3,2,3,2,6]=>[2,1,3,2,3,6]
[1,3,2,3,6,2]=>[4,1,5,2,2,5]
[1,3,2,6,2,3]=>[2,1,3,6,3,2]
[1,3,2,6,3,2]=>[2,1,3,4,2,3]
[1,3,3,2,2,6]=>[2,1,2,3,3,6]
[1,3,3,2,6,2]=>[2,1,2,5,3,3]
[1,3,3,6,2,2]=>[4,1,2,5,2,5]
[1,3,6,2,2,3]=>[2,1,6,3,3,2]
[1,3,6,2,3,2]=>[2,1,4,3,2,3]
[1,3,6,3,2,2]=>[2,1,5,2,3,3]
[1,6,2,2,3,3]=>[3,2,4,4,1,3]
[1,6,2,3,2,3]=>[2,3,3,4,1,4]
[1,6,2,3,3,2]=>[3,2,4,3,1,4]
[1,6,3,2,2,3]=>[2,3,4,3,1,4]
[1,6,3,2,3,2]=>[3,2,3,4,1,4]
[1,6,3,3,2,2]=>[2,3,4,4,1,3]
[2,1,2,3,3,6]=>[1,6,1,2,2,4]
[2,1,2,3,6,3]=>[1,5,1,2,4,2]
[2,1,2,6,3,3]=>[3,6,1,1,4,4]
[2,1,3,2,3,6]=>[1,6,2,2,1,5]
[2,1,3,2,6,3]=>[2,6,4,1,1,4]
[2,1,3,3,2,6]=>[1,6,2,1,2,3]
[2,1,3,3,6,2]=>[2,3,4,1,4,1]
[2,1,3,6,2,3]=>[1,5,2,1,3,2]
[2,1,3,6,3,2]=>[1,3,2,2,5,1]
[2,1,6,2,3,3]=>[1,5,3,1,2,2]
[2,1,6,3,2,3]=>[1,5,4,2,1,2]
[2,1,6,3,3,2]=>[1,3,4,2,2,1]
[2,2,1,3,3,6]=>[4,1,5,3,5,1]
[2,2,1,3,6,3]=>[3,1,4,4,6,1]
[2,2,1,6,3,3]=>[3,1,5,4,4,1]
[2,2,3,1,3,6]=>[1,1,6,2,2,4]
[2,2,3,1,6,3]=>[1,1,5,2,4,2]
[2,2,3,3,1,6]=>[1,1,2,5,6,2]
[2,2,3,3,6,1]=>[1,1,2,2,6,5]
[2,2,3,6,1,3]=>[1,1,6,5,2,2]
[2,2,3,6,3,1]=>[1,1,4,2,5,2]
[2,2,6,1,3,3]=>[3,1,6,1,4,4]
[2,2,6,3,1,3]=>[4,1,5,1,5,3]
[2,2,6,3,3,1]=>[3,1,4,1,6,4]
[2,3,1,2,3,6]=>[1,2,6,2,1,5]
[2,3,1,2,6,3]=>[2,4,6,1,1,4]
[2,3,1,3,2,6]=>[1,2,6,1,2,3]
[2,3,1,3,6,2]=>[2,4,3,1,4,1]
[2,3,1,6,2,3]=>[1,2,5,1,3,2]
[2,3,1,6,3,2]=>[1,2,3,2,5,1]
[2,3,2,1,3,6]=>[4,5,1,3,5,1]
[2,3,2,1,6,3]=>[3,4,1,4,6,1]
[2,3,2,3,1,6]=>[1,2,1,5,6,2]
[2,3,2,3,6,1]=>[1,2,1,2,6,5]
[2,3,2,6,1,3]=>[4,5,1,1,5,3]
[2,3,2,6,3,1]=>[3,4,1,1,6,4]
[2,3,3,1,2,6]=>[4,5,5,1,1,2]
[2,3,3,1,6,2]=>[3,5,5,1,2,1]
[2,3,3,2,1,6]=>[1,2,2,3,6,1]
[2,3,3,2,6,1]=>[1,2,2,1,6,3]
[2,3,3,6,1,2]=>[4,5,5,3,1,1]
[2,3,3,6,2,1]=>[2,4,4,1,3,1]
[2,3,6,1,2,3]=>[1,2,6,5,1,2]
[2,3,6,1,3,2]=>[1,2,6,3,2,1]
[2,3,6,2,1,3]=>[3,5,2,1,5,1]
[2,3,6,2,3,1]=>[1,2,3,1,5,2]
[2,3,6,3,1,2]=>[3,4,6,4,1,1]
[2,3,6,3,2,1]=>[1,2,5,2,3,1]
[2,6,1,2,3,3]=>[1,3,5,1,2,2]
[2,6,1,3,2,3]=>[1,4,5,2,1,2]
[2,6,1,3,3,2]=>[1,4,3,2,2,1]
[2,6,2,1,3,3]=>[3,5,1,4,4,1]
[2,6,2,3,1,3]=>[1,6,1,5,2,2]
[2,6,2,3,3,1]=>[1,4,1,2,5,2]
[2,6,3,1,2,3]=>[1,6,2,5,1,2]
[2,6,3,1,3,2]=>[1,6,2,3,2,1]
[2,6,3,2,1,3]=>[3,2,5,1,5,1]
[2,6,3,2,3,1]=>[1,3,2,1,5,2]
[2,6,3,3,1,2]=>[3,6,4,4,1,1]
[2,6,3,3,2,1]=>[1,5,2,2,3,1]
[3,1,2,2,3,6]=>[3,4,1,4,1,2]
[3,1,2,2,6,3]=>[4,3,1,3,2,1]
[3,1,2,3,2,6]=>[6,3,3,1,5,1]
[3,1,2,3,6,2]=>[6,4,1,1,4,2]
[3,1,2,6,2,3]=>[2,3,3,6,1,1]
[3,1,2,6,3,2]=>[6,3,1,2,3,1]
[3,1,3,2,2,6]=>[6,1,3,3,4,1]
[3,1,3,2,6,2]=>[5,1,3,4,3,1]
[3,1,3,6,2,2]=>[6,1,1,4,4,3]
[3,1,6,2,2,3]=>[2,5,3,3,1,1]
[3,1,6,2,3,2]=>[5,4,3,1,3,1]
[3,1,6,3,2,2]=>[6,2,1,3,3,1]
[3,2,1,2,3,6]=>[4,3,1,4,1,2]
[3,2,1,2,6,3]=>[3,4,1,3,2,1]
[3,2,1,3,2,6]=>[3,6,3,1,5,1]
[3,2,1,3,6,2]=>[4,6,1,1,4,2]
[3,2,1,6,2,3]=>[3,2,3,6,1,1]
[3,2,1,6,3,2]=>[3,6,1,2,3,1]
[3,2,2,1,3,6]=>[4,4,1,3,1,2]
[3,2,2,1,6,3]=>[3,3,1,4,2,1]
[3,2,2,3,1,6]=>[5,5,3,1,1,4]
[3,2,2,3,6,1]=>[5,5,1,1,2,4]
[3,2,2,6,1,3]=>[3,3,2,4,1,1]
[3,2,2,6,3,1]=>[5,5,1,2,1,3]
[3,2,3,1,2,6]=>[5,1,3,5,1,4]
[3,2,3,1,6,2]=>[4,1,4,6,1,3]
[3,2,3,2,1,6]=>[3,1,3,6,5,1]
[3,2,3,2,6,1]=>[3,1,5,6,3,1]
[3,2,3,6,1,2]=>[5,1,1,5,3,4]
[3,2,3,6,2,1]=>[4,1,1,6,4,3]
[3,2,6,1,2,3]=>[3,4,2,3,1,1]
[3,2,6,1,3,2]=>[3,6,5,1,3,1]
[3,2,6,2,1,3]=>[3,6,3,2,1,1]
[3,2,6,2,3,1]=>[4,6,4,1,1,3]
[3,2,6,3,1,2]=>[5,2,1,5,1,3]
[3,2,6,3,2,1]=>[3,2,1,6,3,1]
[3,3,1,2,2,6]=>[1,5,3,5,1,4]
[3,3,1,2,6,2]=>[1,4,4,6,1,3]
[3,3,1,6,2,2]=>[1,5,4,4,1,3]
[3,3,2,1,2,6]=>[1,6,3,3,4,1]
[3,3,2,1,6,2]=>[1,5,3,4,3,1]
[3,3,2,2,1,6]=>[1,3,3,6,5,1]
[3,3,2,2,6,1]=>[1,3,5,6,3,1]
[3,3,2,6,1,2]=>[1,6,5,3,3,1]
[3,3,2,6,2,1]=>[1,4,3,5,3,1]
[3,3,6,1,2,2]=>[1,6,1,4,4,3]
[3,3,6,2,1,2]=>[1,5,1,5,3,4]
[3,3,6,2,2,1]=>[1,4,1,6,4,3]
[3,6,1,2,2,3]=>[5,2,3,3,1,1]
[3,6,1,2,3,2]=>[4,5,3,1,3,1]
[3,6,1,3,2,2]=>[2,6,1,3,3,1]
[3,6,2,1,2,3]=>[4,3,2,3,1,1]
[3,6,2,1,3,2]=>[6,3,5,1,3,1]
[3,6,2,2,1,3]=>[6,3,3,2,1,1]
[3,6,2,2,3,1]=>[6,4,4,1,1,3]
[3,6,2,3,1,2]=>[2,5,1,5,1,3]
[3,6,2,3,2,1]=>[2,3,1,6,3,1]
[3,6,3,1,2,2]=>[5,1,4,4,1,3]
[3,6,3,2,1,2]=>[6,1,5,3,3,1]
[3,6,3,2,2,1]=>[4,1,3,5,3,1]
[6,1,2,2,3,3]=>[3,1,2,3,5,5]
[6,1,2,3,2,3]=>[4,1,3,2,4,3]
[6,1,2,3,3,2]=>[4,1,3,2,3,4]
[6,1,3,2,2,3]=>[4,1,2,3,3,4]
[6,1,3,2,3,2]=>[4,1,2,3,4,3]
[6,1,3,3,2,2]=>[3,1,3,2,5,5]
[6,2,1,2,3,3]=>[3,2,1,2,4,4]
[6,2,1,3,2,3]=>[5,3,1,2,2,3]
[6,2,1,3,3,2]=>[5,3,1,2,3,2]
[6,2,2,1,3,3]=>[2,2,1,4,5,5]
[6,2,2,3,1,3]=>[2,4,1,2,5,4]
[6,2,2,3,3,1]=>[2,4,1,2,4,5]
[6,2,3,1,2,3]=>[4,2,1,2,3,4]
[6,2,3,1,3,2]=>[3,3,1,2,6,2]
[6,2,3,2,1,3]=>[5,2,1,3,2,5]
[6,2,3,2,3,1]=>[3,3,1,2,2,6]
[6,2,3,3,1,2]=>[5,2,1,3,5,2]
[6,2,3,3,2,1]=>[4,2,1,2,4,3]
[6,3,1,2,2,3]=>[5,3,2,1,3,2]
[6,3,1,2,3,2]=>[5,3,2,1,2,3]
[6,3,1,3,2,2]=>[3,2,2,1,4,4]
[6,3,2,1,2,3]=>[3,3,2,1,6,2]
[6,3,2,1,3,2]=>[4,2,2,1,3,4]
[6,3,2,2,1,3]=>[5,2,3,1,5,2]
[6,3,2,2,3,1]=>[4,2,2,1,4,3]
[6,3,2,3,1,2]=>[5,2,3,1,2,5]
[6,3,2,3,2,1]=>[3,3,2,1,2,6]
[6,3,3,1,2,2]=>[2,2,4,1,5,5]
[6,3,3,2,1,2]=>[2,4,2,1,5,4]
[6,3,3,2,2,1]=>[2,4,2,1,4,5]
[1,2,2,3,4,4]=>[1,2,3,2,5,5]
[1,2,2,4,3,4]=>[1,3,2,2,5,3]
[1,2,2,4,4,3]=>[1,3,2,2,3,5]
[1,2,3,2,4,4]=>[1,2,2,3,4,4]
[1,2,3,4,2,4]=>[1,3,2,5,2,3]
[1,2,3,4,4,2]=>[1,3,2,5,3,2]
[1,2,4,2,3,4]=>[1,2,3,5,2,5]
[1,2,4,2,4,3]=>[1,3,2,3,2,5]
[1,2,4,3,2,4]=>[1,2,2,4,3,4]
[1,2,4,3,4,2]=>[1,3,2,3,5,2]
[1,2,4,4,2,3]=>[1,2,2,4,4,3]
[1,2,4,4,3,2]=>[1,2,3,5,5,2]
[1,3,2,2,4,4]=>[2,1,3,3,4,4]
[1,3,2,4,2,4]=>[2,1,3,4,3,4]
[1,3,2,4,4,2]=>[2,1,3,4,4,3]
[1,3,4,2,2,4]=>[3,1,2,4,4,3]
[1,3,4,2,4,2]=>[3,1,2,4,3,4]
[1,3,4,4,2,2]=>[3,1,2,3,4,4]
[1,4,2,2,3,4]=>[3,2,1,5,5,2]
[1,4,2,2,4,3]=>[2,2,1,3,3,4]
[1,4,2,3,2,4]=>[2,3,1,3,5,2]
[1,4,2,3,4,2]=>[2,2,1,3,4,3]
[1,4,2,4,2,3]=>[2,3,1,3,2,5]
[1,4,2,4,3,2]=>[3,2,1,5,2,5]
[1,4,3,2,2,4]=>[2,3,1,5,3,2]
[1,4,3,2,4,2]=>[2,3,1,5,2,3]
[1,4,3,4,2,2]=>[2,2,1,4,3,3]
[1,4,4,2,2,3]=>[2,3,1,2,3,5]
[1,4,4,2,3,2]=>[2,3,1,2,5,3]
[1,4,4,3,2,2]=>[3,2,1,2,5,5]
[2,1,2,3,4,4]=>[1,2,6,1,4,4]
[2,1,2,4,3,4]=>[2,1,5,1,4,2]
[2,1,2,4,4,3]=>[2,1,6,1,2,4]
[2,1,3,2,4,4]=>[1,1,6,2,3,3]
[2,1,3,4,2,4]=>[2,1,5,4,1,2]
[2,1,3,4,4,2]=>[2,1,3,4,2,1]
[2,1,4,2,3,4]=>[1,2,6,4,1,4]
[2,1,4,2,4,3]=>[2,1,6,2,1,4]
[2,1,4,3,2,4]=>[1,1,6,3,2,3]
[2,1,4,3,4,2]=>[2,1,3,2,4,1]
[2,1,4,4,2,3]=>[1,1,4,3,3,2]
[2,1,4,4,3,2]=>[1,2,3,4,4,1]
[2,2,1,3,4,4]=>[4,3,1,5,4,1]
[2,2,1,4,3,4]=>[4,3,1,4,5,1]
[2,2,1,4,4,3]=>[3,4,1,5,5,1]
[2,2,3,1,4,4]=>[1,4,1,5,5,2]
[2,2,3,4,1,4]=>[1,2,1,6,4,4]
[2,2,3,4,4,1]=>[1,2,1,4,6,4]
[2,2,4,1,3,4]=>[2,1,1,5,4,2]
[2,2,4,1,4,3]=>[2,1,1,6,2,4]
[2,2,4,3,1,4]=>[5,1,1,6,2,2]
[2,2,4,3,4,1]=>[2,1,1,4,5,2]
[2,2,4,4,1,3]=>[5,1,1,2,6,2]
[2,2,4,4,3,1]=>[2,1,1,2,6,4]
[2,3,1,2,4,4]=>[5,1,6,1,2,2]
[2,3,1,4,2,4]=>[5,1,6,2,1,2]
[2,3,1,4,4,2]=>[3,1,6,2,2,1]
[2,3,2,1,4,4]=>[1,3,2,5,5,1]
[2,3,2,4,1,4]=>[1,1,2,6,3,3]
[2,3,2,4,4,1]=>[1,1,2,3,6,3]
[2,3,4,1,2,4]=>[2,1,4,5,1,2]
[2,3,4,1,4,2]=>[2,1,4,3,2,1]
[2,3,4,2,1,4]=>[4,3,5,1,4,1]
[2,3,4,2,4,1]=>[2,1,4,1,5,2]
[2,3,4,4,1,2]=>[4,3,5,4,1,1]
[2,3,4,4,2,1]=>[2,1,4,2,3,1]
[2,4,1,2,3,4]=>[1,2,4,6,1,4]
[2,4,1,2,4,3]=>[2,1,2,6,1,4]
[2,4,1,3,2,4]=>[1,1,3,6,2,3]
[2,4,1,3,4,2]=>[2,1,2,3,4,1]
[2,4,1,4,2,3]=>[1,1,3,4,3,2]
[2,4,1,4,3,2]=>[1,2,4,3,4,1]
[2,4,2,1,3,4]=>[4,3,4,1,5,1]
[2,4,2,1,4,3]=>[3,4,5,1,5,1]
[2,4,2,3,1,4]=>[1,4,5,1,5,2]
[2,4,2,3,4,1]=>[1,2,4,1,6,4]
[2,4,2,4,1,3]=>[5,1,2,1,6,2]
[2,4,2,4,3,1]=>[2,1,2,1,6,4]
[2,4,3,1,2,4]=>[5,1,2,6,1,2]
[2,4,3,1,4,2]=>[3,1,2,6,2,1]
[2,4,3,2,1,4]=>[1,3,5,2,5,1]
[2,4,3,2,4,1]=>[1,1,3,2,6,3]
[2,4,3,4,1,2]=>[4,3,4,5,1,1]
[2,4,3,4,2,1]=>[2,1,2,4,3,1]
[2,4,4,1,2,3]=>[1,4,5,5,1,2]
[2,4,4,1,3,2]=>[1,3,5,5,2,1]
[2,4,4,2,1,3]=>[3,1,2,2,6,1]
[2,4,4,2,3,1]=>[1,1,3,3,4,2]
[2,4,4,3,1,2]=>[3,4,5,5,1,1]
[2,4,4,3,2,1]=>[1,2,4,4,3,1]
[3,1,2,2,4,4]=>[2,5,5,3,1,3]
[3,1,2,4,2,4]=>[2,5,3,5,1,3]
[3,1,2,4,4,2]=>[3,3,4,4,1,2]
[3,1,4,2,2,4]=>[2,3,5,5,1,3]
[3,1,4,2,4,2]=>[3,4,3,4,1,2]
[3,1,4,4,2,2]=>[3,4,4,3,1,2]
[3,2,1,2,4,4]=>[2,6,2,3,3,1]
[3,2,1,4,2,4]=>[2,6,3,2,3,1]
[3,2,1,4,4,2]=>[2,4,3,3,2,1]
[3,2,2,1,4,4]=>[2,2,6,3,3,1]
[3,2,2,4,1,4]=>[2,2,3,6,3,1]
[3,2,2,4,4,1]=>[4,2,5,5,2,1]
[3,2,4,1,2,4]=>[2,3,6,2,3,1]
[3,2,4,1,4,2]=>[2,3,4,3,2,1]
[3,2,4,2,1,4]=>[2,3,2,6,3,1]
[3,2,4,2,4,1]=>[4,5,2,5,2,1]
[3,2,4,4,1,2]=>[4,5,5,2,2,1]
[3,2,4,4,2,1]=>[2,3,3,4,2,1]
[3,4,1,2,2,4]=>[1,3,4,4,2,2]
[3,4,1,2,4,2]=>[1,6,4,2,4,2]
[3,4,1,4,2,2]=>[1,6,2,4,4,2]
[3,4,2,1,2,4]=>[1,4,3,4,2,2]
[3,4,2,1,4,2]=>[1,4,6,2,4,2]
[3,4,2,2,1,4]=>[1,4,4,3,2,2]
[3,4,2,2,4,1]=>[1,5,5,2,2,4]
[3,4,2,4,1,2]=>[1,5,2,5,2,4]
[3,4,2,4,2,1]=>[1,4,2,6,4,2]
[3,4,4,1,2,2]=>[1,2,5,5,2,4]
[3,4,4,2,1,2]=>[1,2,6,4,4,2]
[3,4,4,2,2,1]=>[1,2,4,6,4,2]
[4,1,2,2,3,4]=>[6,2,2,3,1,1]
[4,1,2,2,4,3]=>[2,5,5,1,3,1]
[4,1,2,3,2,4]=>[5,2,3,2,1,1]
[4,1,2,3,4,2]=>[2,3,6,1,1,3]
[4,1,2,4,2,3]=>[6,3,1,5,1,3]
[4,1,2,4,3,2]=>[6,4,1,4,3,1]
[4,1,3,2,2,4]=>[5,3,2,2,1,1]
[4,1,3,2,4,2]=>[2,6,3,1,1,3]
[4,1,3,4,2,2]=>[4,5,1,3,1,3]
[4,1,4,2,2,3]=>[6,1,3,5,1,3]
[4,1,4,2,3,2]=>[4,1,5,3,1,3]
[4,1,4,3,2,2]=>[6,1,4,4,3,1]
[4,2,1,2,3,4]=>[2,6,2,3,1,1]
[4,2,1,2,4,3]=>[5,2,5,1,3,1]
[4,2,1,3,2,4]=>[2,5,3,2,1,1]
[4,2,1,3,4,2]=>[3,2,6,1,1,3]
[4,2,1,4,2,3]=>[3,6,1,5,1,3]
[4,2,1,4,3,2]=>[4,6,1,4,3,1]
[4,2,2,1,3,4]=>[2,2,6,3,1,1]
[4,2,2,1,4,3]=>[5,5,2,1,3,1]
[4,2,2,3,1,4]=>[4,4,3,1,2,1]
[4,2,2,3,4,1]=>[3,3,4,1,1,2]
[4,2,2,4,1,3]=>[5,5,1,1,4,3]
[4,2,2,4,3,1]=>[5,5,1,3,4,1]
[4,2,3,1,2,4]=>[2,3,5,2,1,1]
[4,2,3,1,4,2]=>[3,6,2,1,1,3]
[4,2,3,2,1,4]=>[4,3,4,1,2,1]
[4,2,3,2,4,1]=>[3,4,3,1,1,2]
[4,2,3,4,1,2]=>[4,6,1,1,3,4]
[4,2,3,4,2,1]=>[3,6,1,3,1,5]
[4,2,4,1,2,3]=>[5,1,5,1,4,3]
[4,2,4,1,3,2]=>[4,1,6,1,3,4]
[4,2,4,2,1,3]=>[3,1,6,5,1,3]
[4,2,4,2,3,1]=>[3,1,6,3,1,5]
[4,2,4,3,1,2]=>[4,1,6,4,3,1]
[4,2,4,3,2,1]=>[5,1,5,3,4,1]
[4,3,1,2,2,4]=>[3,5,2,2,1,1]
[4,3,1,2,4,2]=>[6,2,3,1,1,3]
[4,3,1,4,2,2]=>[5,4,1,3,1,3]
[4,3,2,1,2,4]=>[3,2,5,2,1,1]
[4,3,2,1,4,2]=>[6,3,2,1,1,3]
[4,3,2,2,1,4]=>[3,4,4,1,2,1]
[4,3,2,2,4,1]=>[4,3,3,1,1,2]
[4,3,2,4,1,2]=>[6,4,1,1,3,4]
[4,3,2,4,2,1]=>[6,3,1,3,1,5]
[4,3,4,1,2,2]=>[6,1,4,1,3,4]
[4,3,4,2,1,2]=>[5,1,4,3,1,3]
[4,3,4,2,2,1]=>[6,1,3,3,1,5]
[4,4,1,2,2,3]=>[1,5,5,1,4,3]
[4,4,1,2,3,2]=>[1,4,6,1,3,4]
[4,4,1,3,2,2]=>[1,6,4,1,3,4]
[4,4,2,1,2,3]=>[1,6,3,5,1,3]
[4,4,2,1,3,2]=>[1,4,5,3,1,3]
[4,4,2,2,1,3]=>[1,3,6,5,1,3]
[4,4,2,2,3,1]=>[1,3,6,3,1,5]
[4,4,2,3,1,2]=>[1,5,4,3,1,3]
[4,4,2,3,2,1]=>[1,6,3,3,1,5]
[4,4,3,1,2,2]=>[1,6,4,4,3,1]
[4,4,3,2,1,2]=>[1,4,6,4,3,1]
[4,4,3,2,2,1]=>[1,5,5,3,4,1]
[1,2,2,3,4,5]=>[1,2,3,5,2,6]
[1,2,2,3,5,4]=>[1,2,5,3,2,6]
[1,2,2,4,3,5]=>[1,3,2,5,2,6]
[1,2,2,4,5,3]=>[1,5,2,3,2,6]
[1,2,2,5,3,4]=>[1,3,5,2,2,6]
[1,2,2,5,4,3]=>[1,5,3,2,2,6]
[1,2,3,2,4,5]=>[1,2,2,4,3,6]
[1,2,3,2,5,4]=>[1,2,4,2,3,6]
[1,2,3,4,2,5]=>[1,3,2,2,5,4]
[1,2,3,4,5,2]=>[1,5,3,2,6,2]
[1,2,3,5,2,4]=>[1,4,2,2,6,3]
[1,2,3,5,4,2]=>[1,5,2,3,6,2]
[1,2,4,2,3,5]=>[1,2,2,3,4,5]
[1,2,4,2,5,3]=>[1,4,2,2,3,6]
[1,2,4,3,2,5]=>[1,2,3,2,5,4]
[1,2,4,3,5,2]=>[1,3,5,2,6,2]
[1,2,4,5,2,3]=>[1,2,4,2,6,3]
[1,2,4,5,3,2]=>[1,2,5,3,6,2]
[1,2,5,2,3,4]=>[1,2,3,2,4,5]
[1,2,5,2,4,3]=>[1,3,2,2,4,5]
[1,2,5,3,2,4]=>[1,2,2,3,5,4]
[1,2,5,3,4,2]=>[1,3,2,5,6,2]
[1,2,5,4,2,3]=>[1,2,2,4,6,3]
[1,2,5,4,3,2]=>[1,2,3,5,6,2]
[1,3,2,2,4,5]=>[2,1,3,4,3,6]
[1,3,2,2,5,4]=>[2,1,4,3,3,6]
[1,3,2,4,2,5]=>[2,1,3,3,4,5]
[1,3,2,4,5,2]=>[2,1,4,3,6,3]
[1,3,2,5,2,4]=>[2,1,3,3,5,4]
[1,3,2,5,4,2]=>[2,1,3,4,6,3]
[1,3,4,2,2,5]=>[3,1,2,4,4,5]
[1,3,4,2,5,2]=>[3,1,2,4,5,4]
[1,3,4,5,2,2]=>[4,1,2,3,5,5]
[1,3,5,2,2,4]=>[3,1,4,2,4,5]
[1,3,5,2,4,2]=>[3,1,4,2,5,4]
[1,3,5,4,2,2]=>[4,1,3,2,5,5]
[1,4,2,2,3,5]=>[2,3,1,4,3,6]
[1,4,2,2,5,3]=>[2,4,1,3,3,6]
[1,4,2,3,2,5]=>[2,3,1,3,4,5]
[1,4,2,3,5,2]=>[2,4,1,3,6,3]
[1,4,2,5,2,3]=>[2,3,1,3,5,4]
[1,4,2,5,3,2]=>[2,3,1,4,6,3]
[1,4,3,2,2,5]=>[3,2,1,4,4,5]
[1,4,3,2,5,2]=>[3,2,1,4,5,4]
[1,4,3,5,2,2]=>[4,2,1,3,5,5]
[1,4,5,2,2,3]=>[3,4,1,2,4,5]
[1,4,5,2,3,2]=>[3,4,1,2,5,4]
[1,4,5,3,2,2]=>[4,3,1,2,5,5]
[1,5,2,2,3,4]=>[2,3,4,1,3,6]
[1,5,2,2,4,3]=>[2,4,3,1,3,6]
[1,5,2,3,2,4]=>[2,3,3,1,4,5]
[1,5,2,3,4,2]=>[2,4,3,1,6,3]
[1,5,2,4,2,3]=>[2,3,3,1,5,4]
[1,5,2,4,3,2]=>[2,3,4,1,6,3]
[1,5,3,2,2,4]=>[3,2,4,1,4,5]
[1,5,3,2,4,2]=>[3,2,4,1,5,4]
[1,5,3,4,2,2]=>[4,2,3,1,5,5]
[1,5,4,2,2,3]=>[3,4,2,1,4,5]
[1,5,4,2,3,2]=>[3,4,2,1,5,4]
[1,5,4,3,2,2]=>[4,3,2,1,5,5]
[2,1,2,3,4,5]=>[1,2,4,6,1,5]
[2,1,2,3,5,4]=>[1,4,2,6,1,5]
[2,1,2,4,3,5]=>[2,1,4,6,1,5]
[2,1,2,4,5,3]=>[4,1,2,6,1,5]
[2,1,2,5,3,4]=>[2,4,1,6,1,5]
[2,1,2,5,4,3]=>[4,2,1,6,1,5]
[2,1,3,2,4,5]=>[1,1,3,6,2,5]
[2,1,3,2,5,4]=>[1,3,1,6,2,5]
[2,1,3,4,2,5]=>[2,1,1,5,4,3]
[2,1,3,4,5,2]=>[4,2,1,3,6,1]
[2,1,3,5,2,4]=>[3,1,1,4,5,2]
[2,1,3,5,4,2]=>[4,1,2,3,6,1]
[2,1,4,2,3,5]=>[1,1,2,6,3,4]
[2,1,4,2,5,3]=>[3,1,1,6,2,5]
[2,1,4,3,2,5]=>[1,2,1,5,4,3]
[2,1,4,3,5,2]=>[2,4,1,3,6,1]
[2,1,4,5,2,3]=>[1,3,1,4,5,2]
[2,1,4,5,3,2]=>[1,4,2,3,6,1]
[2,1,5,2,3,4]=>[1,2,1,6,3,4]
[2,1,5,2,4,3]=>[2,1,1,6,3,4]
[2,1,5,3,2,4]=>[1,1,2,5,4,3]
[2,1,5,3,4,2]=>[2,1,4,3,6,1]
[2,1,5,4,2,3]=>[1,1,3,4,5,2]
[2,1,5,4,3,2]=>[1,2,4,3,6,1]
[2,2,1,3,4,5]=>[5,4,3,1,6,1]
[2,2,1,3,5,4]=>[5,3,4,1,6,1]
[2,2,1,4,3,5]=>[4,5,3,1,6,1]
[2,2,1,4,5,3]=>[3,5,4,1,6,1]
[2,2,1,5,3,4]=>[4,3,5,1,6,1]
[2,2,1,5,4,3]=>[3,4,5,1,6,1]
[2,2,3,1,4,5]=>[1,5,4,1,6,2]
[2,2,3,1,5,4]=>[1,4,5,1,6,2]
[2,2,3,4,1,5]=>[1,2,5,1,6,4]
[2,2,3,4,5,1]=>[1,2,4,1,6,5]
[2,2,3,5,1,4]=>[1,5,2,1,6,4]
[2,2,3,5,4,1]=>[1,4,2,1,6,5]
[2,2,4,1,3,5]=>[5,1,4,1,6,2]
[2,2,4,1,5,3]=>[4,1,5,1,6,2]
[2,2,4,3,1,5]=>[2,1,5,1,6,4]
[2,2,4,3,5,1]=>[2,1,4,1,6,5]
[2,2,4,5,1,3]=>[5,1,2,1,6,4]
[2,2,4,5,3,1]=>[4,1,2,1,6,5]
[2,2,5,1,3,4]=>[5,4,1,1,6,2]
[2,2,5,1,4,3]=>[4,5,1,1,6,2]
[2,2,5,3,1,4]=>[2,5,1,1,6,4]
[2,2,5,3,4,1]=>[2,4,1,1,6,5]
[2,2,5,4,1,3]=>[5,2,1,1,6,4]
[2,2,5,4,3,1]=>[4,2,1,1,6,5]
[2,3,1,2,4,5]=>[5,1,2,6,1,4]
[2,3,1,2,5,4]=>[5,2,1,6,1,4]
[2,3,1,4,2,5]=>[5,1,1,6,2,3]
[2,3,1,4,5,2]=>[3,2,1,5,4,1]
[2,3,1,5,2,4]=>[4,1,1,6,3,2]
[2,3,1,5,4,2]=>[3,1,2,5,4,1]
[2,3,2,1,4,5]=>[1,5,3,2,6,1]
[2,3,2,1,5,4]=>[1,3,5,2,6,1]
[2,3,2,4,1,5]=>[1,1,5,2,6,3]
[2,3,2,4,5,1]=>[1,1,3,2,6,5]
[2,3,2,5,1,4]=>[1,5,1,2,6,3]
[2,3,2,5,4,1]=>[1,3,1,2,6,5]
[2,3,4,1,2,5]=>[5,4,1,6,1,2]
[2,3,4,1,5,2]=>[5,3,1,6,2,1]
[2,3,4,2,1,5]=>[2,1,3,4,5,1]
[2,3,4,2,5,1]=>[2,1,1,4,5,3]
[2,3,4,5,1,2]=>[5,4,3,6,1,1]
[2,3,4,5,2,1]=>[4,2,1,6,3,1]
[2,3,5,1,2,4]=>[5,1,4,6,1,2]
[2,3,5,1,4,2]=>[5,1,3,6,2,1]
[2,3,5,2,1,4]=>[2,3,1,4,5,1]
[2,3,5,2,4,1]=>[3,1,1,5,4,2]
[2,3,5,4,1,2]=>[5,3,4,6,1,1]
[2,3,5,4,2,1]=>[4,1,2,6,3,1]
[2,4,1,2,3,5]=>[1,5,2,6,1,4]
[2,4,1,2,5,3]=>[2,5,1,6,1,4]
[2,4,1,3,2,5]=>[1,5,1,6,2,3]
[2,4,1,3,5,2]=>[2,3,1,5,4,1]
[2,4,1,5,2,3]=>[1,4,1,6,3,2]
[2,4,1,5,3,2]=>[1,3,2,5,4,1]
[2,4,2,1,3,5]=>[5,1,3,2,6,1]
[2,4,2,1,5,3]=>[3,1,5,2,6,1]
[2,4,2,3,1,5]=>[1,1,4,3,6,2]
[2,4,2,3,5,1]=>[1,1,2,3,6,4]
[2,4,2,5,1,3]=>[5,1,1,2,6,3]
[2,4,2,5,3,1]=>[3,1,1,2,6,5]
[2,4,3,1,2,5]=>[4,5,1,6,1,2]
[2,4,3,1,5,2]=>[3,5,1,6,2,1]
[2,4,3,2,1,5]=>[1,2,3,4,5,1]
[2,4,3,2,5,1]=>[1,2,1,4,5,3]
[2,4,3,5,1,2]=>[4,5,3,6,1,1]
[2,4,3,5,2,1]=>[2,4,1,6,3,1]
[2,4,5,1,2,3]=>[1,5,4,6,1,2]
[2,4,5,1,3,2]=>[1,5,3,6,2,1]
[2,4,5,2,1,3]=>[3,2,1,4,5,1]
[2,4,5,2,3,1]=>[1,3,1,5,4,2]
[2,4,5,3,1,2]=>[3,5,4,6,1,1]
[2,4,5,3,2,1]=>[1,4,2,6,3,1]
[2,5,1,2,3,4]=>[1,2,5,6,1,4]
[2,5,1,2,4,3]=>[2,1,5,6,1,4]
[2,5,1,3,2,4]=>[1,1,5,6,2,3]
[2,5,1,3,4,2]=>[2,1,3,5,4,1]
[2,5,1,4,2,3]=>[1,1,4,6,3,2]
[2,5,1,4,3,2]=>[1,2,3,5,4,1]
[2,5,2,1,3,4]=>[5,3,1,2,6,1]
[2,5,2,1,4,3]=>[3,5,1,2,6,1]
[2,5,2,3,1,4]=>[1,4,1,3,6,2]
[2,5,2,3,4,1]=>[1,2,1,3,6,4]
[2,5,2,4,1,3]=>[4,1,1,3,6,2]
[2,5,2,4,3,1]=>[2,1,1,3,6,4]
[2,5,3,1,2,4]=>[4,1,5,6,1,2]
[2,5,3,1,4,2]=>[3,1,5,6,2,1]
[2,5,3,2,1,4]=>[1,3,2,4,5,1]
[2,5,3,2,4,1]=>[1,1,2,4,5,3]
[2,5,3,4,1,2]=>[4,3,5,6,1,1]
[2,5,3,4,2,1]=>[2,1,4,6,3,1]
[2,5,4,1,2,3]=>[1,4,5,6,1,2]
[2,5,4,1,3,2]=>[1,3,5,6,2,1]
[2,5,4,2,1,3]=>[3,1,2,4,5,1]
[2,5,4,2,3,1]=>[1,1,3,5,4,2]
[2,5,4,3,1,2]=>[3,4,5,6,1,1]
[2,5,4,3,2,1]=>[1,2,4,6,3,1]
[3,1,2,2,4,5]=>[2,3,5,5,1,4]
[3,1,2,2,5,4]=>[3,2,5,5,1,4]
[3,1,2,4,2,5]=>[4,2,4,5,1,3]
[3,1,2,4,5,2]=>[4,3,3,6,1,2]
[3,1,2,5,2,4]=>[2,4,4,5,1,3]
[3,1,2,5,4,2]=>[3,4,3,6,1,2]
[3,1,4,2,2,5]=>[4,2,5,4,1,3]
[3,1,4,2,5,2]=>[3,3,4,5,1,2]
[3,1,4,5,2,2]=>[4,3,6,3,1,2]
[3,1,5,2,2,4]=>[2,4,5,4,1,3]
[3,1,5,2,4,2]=>[3,3,5,4,1,2]
[3,1,5,4,2,2]=>[3,4,6,3,1,2]
[3,2,1,2,4,5]=>[3,2,6,2,5,1]
[3,2,1,2,5,4]=>[2,3,6,2,5,1]
[3,2,1,4,2,5]=>[2,2,6,3,4,1]
[3,2,1,4,5,2]=>[3,2,4,5,2,1]
[3,2,1,5,2,4]=>[2,2,5,4,3,1]
[3,2,1,5,4,2]=>[2,3,4,5,2,1]
[3,2,2,1,4,5]=>[3,2,2,6,5,1]
[3,2,2,1,5,4]=>[2,3,2,6,5,1]
[3,2,2,4,1,5]=>[5,2,2,6,3,1]
[3,2,2,4,5,1]=>[5,4,2,6,2,1]
[3,2,2,5,1,4]=>[2,5,2,6,3,1]
[3,2,2,5,4,1]=>[4,5,2,6,2,1]
[3,2,4,1,2,5]=>[5,2,6,2,3,1]
[3,2,4,1,5,2]=>[4,2,6,3,2,1]
[3,2,4,2,1,5]=>[2,2,3,6,4,1]
[3,2,4,2,5,1]=>[2,4,3,6,2,1]
[3,2,4,5,1,2]=>[5,4,6,2,2,1]
[3,2,4,5,2,1]=>[3,2,5,4,2,1]
[3,2,5,1,2,4]=>[2,5,6,2,3,1]
[3,2,5,1,4,2]=>[2,4,6,3,2,1]
[3,2,5,2,1,4]=>[2,2,4,5,3,1]
[3,2,5,2,4,1]=>[4,2,3,6,2,1]
[3,2,5,4,1,2]=>[4,5,6,2,2,1]
[3,2,5,4,2,1]=>[2,3,5,4,2,1]
[3,4,1,2,2,5]=>[1,3,5,5,2,4]
[3,4,1,2,5,2]=>[1,4,4,5,2,3]
[3,4,1,5,2,2]=>[1,4,5,4,2,3]
[3,4,2,1,2,5]=>[1,3,6,3,4,2]
[3,4,2,1,5,2]=>[1,3,5,4,3,2]
[3,4,2,2,1,5]=>[1,3,3,6,4,2]
[3,4,2,2,5,1]=>[1,5,3,6,3,2]
[3,4,2,5,1,2]=>[1,5,6,3,3,2]
[3,4,2,5,2,1]=>[1,3,4,5,3,2]
[3,4,5,1,2,2]=>[1,2,5,5,3,4]
[3,4,5,2,1,2]=>[1,2,6,4,4,3]
[3,4,5,2,2,1]=>[1,2,4,6,4,3]
[3,5,1,2,2,4]=>[3,1,5,5,2,4]
[3,5,1,2,4,2]=>[4,1,4,5,2,3]
[3,5,1,4,2,2]=>[4,1,5,4,2,3]
[3,5,2,1,2,4]=>[3,1,6,3,4,2]
[3,5,2,1,4,2]=>[3,1,5,4,3,2]
[3,5,2,2,1,4]=>[3,1,3,6,4,2]
[3,5,2,2,4,1]=>[5,1,3,6,3,2]
[3,5,2,4,1,2]=>[5,1,6,3,3,2]
[3,5,2,4,2,1]=>[3,1,4,5,3,2]
[3,5,4,1,2,2]=>[2,1,5,5,3,4]
[3,5,4,2,1,2]=>[2,1,6,4,4,3]
[3,5,4,2,2,1]=>[2,1,4,6,4,3]
[4,1,2,2,3,5]=>[3,5,5,1,4,2]
[4,1,2,2,5,3]=>[2,5,5,1,4,3]
[4,1,2,3,2,5]=>[3,3,6,1,2,4]
[4,1,2,3,5,2]=>[2,4,6,1,3,4]
[4,1,2,5,2,3]=>[4,4,5,1,3,2]
[4,1,2,5,3,2]=>[5,3,6,1,2,3]
[4,1,3,2,2,5]=>[3,6,3,1,2,4]
[4,1,3,2,5,2]=>[2,6,4,1,3,4]
[4,1,3,5,2,2]=>[3,5,4,1,2,3]
[4,1,5,2,2,3]=>[4,5,4,1,3,2]
[4,1,5,2,3,2]=>[3,4,5,1,2,3]
[4,1,5,3,2,2]=>[5,6,3,1,2,3]
[4,2,1,2,3,5]=>[2,6,2,5,1,3]
[4,2,1,2,5,3]=>[4,6,2,5,1,2]
[4,2,1,3,2,5]=>[2,4,5,2,1,3]
[4,2,1,3,5,2]=>[2,5,4,3,1,2]
[4,2,1,5,2,3]=>[2,6,3,4,1,2]
[4,2,1,5,3,2]=>[4,3,6,2,1,2]
[4,2,2,1,3,5]=>[2,2,6,5,1,3]
[4,2,2,1,5,3]=>[4,2,6,5,1,2]
[4,2,2,3,1,5]=>[4,2,6,2,1,5]
[4,2,2,3,5,1]=>[2,2,6,3,1,5]
[4,2,2,5,1,3]=>[5,2,6,4,1,2]
[4,2,2,5,3,1]=>[5,2,6,2,1,4]
[4,2,3,1,2,5]=>[2,5,4,2,1,3]
[4,2,3,1,5,2]=>[2,4,5,3,1,2]
[4,2,3,2,1,5]=>[4,6,2,2,1,5]
[4,2,3,2,5,1]=>[2,6,2,3,1,5]
[4,2,3,5,1,2]=>[3,4,5,2,1,2]
[4,2,3,5,2,1]=>[2,6,3,2,1,4]
[4,2,5,1,2,3]=>[5,6,2,4,1,2]
[4,2,5,1,3,2]=>[3,5,4,2,1,2]
[4,2,5,2,1,3]=>[2,3,6,4,1,2]
[4,2,5,2,3,1]=>[2,3,6,2,1,4]
[4,2,5,3,1,2]=>[4,6,3,2,1,2]
[4,2,5,3,2,1]=>[5,6,2,2,1,4]
[4,3,1,2,2,5]=>[2,6,4,4,3,1]
[4,3,1,2,5,2]=>[3,6,3,4,2,1]
[4,3,1,5,2,2]=>[3,5,4,3,2,1]
[4,3,2,1,2,5]=>[2,4,6,4,3,1]
[4,3,2,1,5,2]=>[3,3,6,4,2,1]
[4,3,2,2,1,5]=>[2,5,5,3,4,1]
[4,3,2,2,5,1]=>[3,5,5,2,4,1]
[4,3,2,5,1,2]=>[5,3,6,3,2,1]
[4,3,2,5,2,1]=>[4,4,5,2,3,1]
[4,3,5,1,2,2]=>[5,6,3,3,2,1]
[4,3,5,2,1,2]=>[3,4,5,3,2,1]
[4,3,5,2,2,1]=>[4,5,4,2,3,1]
[4,5,1,2,2,3]=>[1,5,5,2,4,3]
[4,5,1,2,3,2]=>[1,4,6,2,3,4]
[4,5,1,3,2,2]=>[1,6,4,2,3,4]
[4,5,2,1,2,3]=>[1,6,3,5,2,3]
[4,5,2,1,3,2]=>[1,4,5,3,2,3]
[4,5,2,2,1,3]=>[1,3,6,5,2,3]
[4,5,2,2,3,1]=>[1,3,6,3,2,5]
[4,5,2,3,1,2]=>[1,5,4,3,2,3]
[4,5,2,3,2,1]=>[1,6,3,3,2,5]
[4,5,3,1,2,2]=>[1,6,4,4,3,2]
[4,5,3,2,1,2]=>[1,4,6,4,3,2]
[4,5,3,2,2,1]=>[1,5,5,3,4,2]
[5,1,2,2,3,4]=>[5,5,1,4,2,3]
[5,1,2,2,4,3]=>[5,5,1,4,3,2]
[5,1,2,3,2,4]=>[3,6,1,2,5,3]
[5,1,2,3,4,2]=>[4,6,1,3,4,2]
[5,1,2,4,2,3]=>[3,6,1,2,3,5]
[5,1,2,4,3,2]=>[4,6,1,3,2,4]
[5,1,3,2,2,4]=>[6,3,1,2,5,3]
[5,1,3,2,4,2]=>[6,4,1,3,4,2]
[5,1,3,4,2,2]=>[4,5,1,2,3,3]
[5,1,4,2,2,3]=>[6,3,1,2,3,5]
[5,1,4,2,3,2]=>[6,4,1,3,2,4]
[5,1,4,3,2,2]=>[5,4,1,2,3,3]
[5,2,1,2,3,4]=>[6,2,5,1,4,2]
[5,2,1,2,4,3]=>[6,2,5,1,2,4]
[5,2,1,3,2,4]=>[3,6,2,1,4,2]
[5,2,1,3,4,2]=>[6,3,4,1,2,2]
[5,2,1,4,2,3]=>[3,6,2,1,2,4]
[5,2,1,4,3,2]=>[5,4,3,1,2,2]
[5,2,2,1,3,4]=>[2,6,5,1,4,2]
[5,2,2,1,4,3]=>[2,6,5,1,2,4]
[5,2,2,3,1,4]=>[2,6,2,1,5,4]
[5,2,2,3,4,1]=>[2,6,4,1,5,2]
[5,2,2,4,1,3]=>[2,6,2,1,4,5]
[5,2,2,4,3,1]=>[2,6,4,1,2,5]
[5,2,3,1,2,4]=>[6,3,2,1,4,2]
[5,2,3,1,4,2]=>[3,6,4,1,2,2]
[5,2,3,2,1,4]=>[6,2,2,1,5,4]
[5,2,3,2,4,1]=>[6,2,4,1,5,2]
[5,2,3,4,1,2]=>[5,4,2,1,3,2]
[5,2,3,4,2,1]=>[4,5,2,1,2,3]
[5,2,4,1,2,3]=>[6,3,2,1,2,4]
[5,2,4,1,3,2]=>[4,5,3,1,2,2]
[5,2,4,2,1,3]=>[6,2,2,1,4,5]
[5,2,4,2,3,1]=>[6,2,4,1,2,5]
[5,2,4,3,1,2]=>[4,5,2,1,3,2]
[5,2,4,3,2,1]=>[5,4,2,1,2,3]
[5,3,1,2,2,4]=>[6,4,4,3,1,2]
[5,3,1,2,4,2]=>[6,3,5,2,1,3]
[5,3,1,4,2,2]=>[4,5,3,2,1,3]
[5,3,2,1,2,4]=>[4,6,4,3,1,2]
[5,3,2,1,4,2]=>[3,6,5,2,1,3]
[5,3,2,2,1,4]=>[5,5,3,4,1,2]
[5,3,2,2,4,1]=>[5,5,2,4,1,3]
[5,3,2,4,1,2]=>[4,6,2,3,1,4]
[5,3,2,4,2,1]=>[3,6,3,2,1,5]
[5,3,4,1,2,2]=>[5,4,3,2,1,3]
[5,3,4,2,1,2]=>[6,4,2,3,1,4]
[5,3,4,2,2,1]=>[6,3,3,2,1,5]
[5,4,1,2,2,3]=>[6,4,4,3,2,1]
[5,4,1,2,3,2]=>[6,3,5,2,3,1]
[5,4,1,3,2,2]=>[4,5,3,2,3,1]
[5,4,2,1,2,3]=>[4,6,4,3,2,1]
[5,4,2,1,3,2]=>[3,6,5,2,3,1]
[5,4,2,2,1,3]=>[5,5,3,4,2,1]
[5,4,2,2,3,1]=>[5,5,2,4,3,1]
[5,4,2,3,1,2]=>[3,6,3,2,5,1]
[5,4,2,3,2,1]=>[4,6,2,3,4,1]
[5,4,3,1,2,2]=>[5,4,3,2,3,1]
[5,4,3,2,1,2]=>[6,3,3,2,5,1]
[5,4,3,2,2,1]=>[6,4,2,3,4,1]
[1,2,2,3,4,6]=>[1,2,3,2,5,6]
[1,2,2,3,6,4]=>[1,2,5,2,3,6]
[1,2,2,4,3,6]=>[1,3,2,2,5,6]
[1,2,2,4,6,3]=>[1,5,2,2,3,6]
[1,2,2,6,3,4]=>[1,4,5,2,2,6]
[1,2,2,6,4,3]=>[1,5,4,2,2,6]
[1,2,3,2,4,6]=>[1,2,2,3,4,6]
[1,2,3,2,6,4]=>[1,2,4,3,2,6]
[1,2,3,4,2,6]=>[1,3,2,5,2,4]
[1,2,3,4,6,2]=>[1,5,3,6,2,2]
[1,2,3,6,2,4]=>[1,4,2,6,2,3]
[1,2,3,6,4,2]=>[1,5,2,6,3,2]
[1,2,4,2,3,6]=>[1,2,2,4,3,5]
[1,2,4,2,6,3]=>[1,4,2,3,2,6]
[1,2,4,3,2,6]=>[1,2,3,5,2,4]
[1,2,4,3,6,2]=>[1,3,5,6,2,2]
[1,2,4,6,2,3]=>[1,2,4,6,2,3]
[1,2,4,6,3,2]=>[1,2,5,6,3,2]
[1,2,6,2,3,4]=>[1,2,3,4,2,5]
[1,2,6,2,4,3]=>[1,3,2,4,2,5]
[1,2,6,3,2,4]=>[1,2,2,5,3,4]
[1,2,6,3,4,2]=>[1,3,2,6,5,2]
[1,2,6,4,2,3]=>[1,2,2,6,4,3]
[1,2,6,4,3,2]=>[1,2,3,6,5,2]
[1,3,2,2,4,6]=>[2,1,3,3,4,6]
[1,3,2,2,6,4]=>[2,1,5,3,3,6]
[1,3,2,4,2,6]=>[2,1,3,4,3,5]
[1,3,2,4,6,2]=>[2,1,4,6,3,3]
[1,3,2,6,2,4]=>[2,1,3,5,3,4]
[1,3,2,6,4,2]=>[2,1,3,6,4,3]
[1,3,4,2,2,6]=>[3,1,2,4,4,6]
[1,3,4,2,6,2]=>[3,1,2,5,4,4]
[1,3,4,6,2,2]=>[4,1,2,5,3,5]
[1,3,6,2,2,4]=>[3,1,4,4,2,5]
[1,3,6,2,4,2]=>[4,1,3,5,2,5]
[1,3,6,4,2,2]=>[3,1,4,5,2,4]
[1,4,2,2,3,6]=>[2,3,1,3,4,6]
[1,4,2,2,6,3]=>[2,5,1,3,3,6]
[1,4,2,3,2,6]=>[2,3,1,4,3,5]
[1,4,2,3,6,2]=>[2,4,1,6,3,3]
[1,4,2,6,2,3]=>[2,3,1,5,3,4]
[1,4,2,6,3,2]=>[2,3,1,6,4,3]
[1,4,3,2,2,6]=>[3,2,1,4,4,6]
[1,4,3,2,6,2]=>[3,2,1,5,4,4]
[1,4,3,6,2,2]=>[4,2,1,5,3,5]
[1,4,6,2,2,3]=>[3,4,1,4,2,5]
[1,4,6,2,3,2]=>[4,3,1,5,2,5]
[1,4,6,3,2,2]=>[3,4,1,5,2,4]
[1,6,2,2,3,4]=>[2,3,4,3,1,6]
[1,6,2,2,4,3]=>[2,4,3,3,1,6]
[1,6,2,3,2,4]=>[3,2,4,4,1,5]
[1,6,2,3,4,2]=>[4,2,3,5,1,5]
[1,6,2,4,2,3]=>[3,4,2,4,1,5]
[1,6,2,4,3,2]=>[4,3,2,5,1,5]
[1,6,3,2,2,4]=>[2,3,3,4,1,5]
[1,6,3,2,4,2]=>[3,4,2,5,1,4]
[1,6,3,4,2,2]=>[2,4,3,6,1,3]
[1,6,4,2,2,3]=>[2,3,3,5,1,4]
[1,6,4,2,3,2]=>[3,2,4,5,1,4]
[1,6,4,3,2,2]=>[2,3,4,6,1,3]
[2,1,2,3,4,6]=>[1,2,6,4,1,5]
[2,1,2,3,6,4]=>[1,4,6,2,1,5]
[2,1,2,4,3,6]=>[2,1,6,4,1,5]
[2,1,2,4,6,3]=>[4,1,6,2,1,5]
[2,1,2,6,3,4]=>[2,4,6,1,1,5]
[2,1,2,6,4,3]=>[4,2,6,1,1,5]
[2,1,3,2,4,6]=>[1,1,6,3,2,5]
[2,1,3,2,6,4]=>[1,3,6,1,2,5]
[2,1,3,4,2,6]=>[2,1,5,1,4,3]
[2,1,3,4,6,2]=>[4,2,3,1,6,1]
[2,1,3,6,2,4]=>[3,1,4,1,5,2]
[2,1,3,6,4,2]=>[4,1,3,2,6,1]
[2,1,4,2,3,6]=>[1,1,6,2,3,4]
[2,1,4,2,6,3]=>[3,1,6,1,2,5]
[2,1,4,3,2,6]=>[1,2,5,1,4,3]
[2,1,4,3,6,2]=>[2,4,3,1,6,1]
[2,1,4,6,2,3]=>[1,3,4,1,5,2]
[2,1,4,6,3,2]=>[1,4,3,2,6,1]
[2,1,6,2,3,4]=>[1,2,6,1,3,4]
[2,1,6,2,4,3]=>[2,1,6,1,3,4]
[2,1,6,3,2,4]=>[1,1,5,2,4,3]
[2,1,6,3,4,2]=>[2,1,3,4,6,1]
[2,1,6,4,2,3]=>[1,1,4,3,5,2]
[2,1,6,4,3,2]=>[1,2,3,4,6,1]
[2,2,1,3,4,6]=>[5,4,1,3,6,1]
[2,2,1,3,6,4]=>[5,3,1,4,6,1]
[2,2,1,4,3,6]=>[4,5,1,3,6,1]
[2,2,1,4,6,3]=>[3,5,1,4,6,1]
[2,2,1,6,3,4]=>[4,3,1,5,6,1]
[2,2,1,6,4,3]=>[3,4,1,5,6,1]
[2,2,3,1,4,6]=>[1,5,1,4,6,2]
[2,2,3,1,6,4]=>[1,4,1,5,6,2]
[2,2,3,4,1,6]=>[1,2,1,5,6,4]
[2,2,3,4,6,1]=>[1,2,1,4,6,5]
[2,2,3,6,1,4]=>[1,5,1,2,6,4]
[2,2,3,6,4,1]=>[1,4,1,2,6,5]
[2,2,4,1,3,6]=>[5,1,1,4,6,2]
[2,2,4,1,6,3]=>[4,1,1,5,6,2]
[2,2,4,3,1,6]=>[2,1,1,5,6,4]
[2,2,4,3,6,1]=>[2,1,1,4,6,5]
[2,2,4,6,1,3]=>[5,1,1,2,6,4]
[2,2,4,6,3,1]=>[4,1,1,2,6,5]
[2,2,6,1,3,4]=>[5,4,1,1,6,3]
[2,2,6,1,4,3]=>[4,5,1,1,6,3]
[2,2,6,3,1,4]=>[3,5,1,1,6,4]
[2,2,6,3,4,1]=>[3,4,1,1,6,5]
[2,2,6,4,1,3]=>[5,3,1,1,6,4]
[2,2,6,4,3,1]=>[4,3,1,1,6,5]
[2,3,1,2,4,6]=>[5,1,6,2,1,4]
[2,3,1,2,6,4]=>[5,2,6,1,1,4]
[2,3,1,4,2,6]=>[5,1,6,1,2,3]
[2,3,1,4,6,2]=>[3,2,5,1,4,1]
[2,3,1,6,2,4]=>[4,1,6,1,3,2]
[2,3,1,6,4,2]=>[3,1,5,2,4,1]
[2,3,2,1,4,6]=>[1,5,2,3,6,1]
[2,3,2,1,6,4]=>[1,3,2,5,6,1]
[2,3,2,4,1,6]=>[1,1,2,5,6,3]
[2,3,2,4,6,1]=>[1,1,2,3,6,5]
[2,3,2,6,1,4]=>[1,5,2,1,6,3]
[2,3,2,6,4,1]=>[1,3,2,1,6,5]
[2,3,4,1,2,6]=>[5,4,6,1,1,2]
[2,3,4,1,6,2]=>[5,3,6,1,2,1]
[2,3,4,2,1,6]=>[2,1,4,3,5,1]
[2,3,4,2,6,1]=>[2,1,4,1,5,3]
[2,3,4,6,1,2]=>[5,4,6,3,1,1]
[2,3,4,6,2,1]=>[4,2,6,1,3,1]
[2,3,6,1,2,4]=>[5,1,6,4,1,2]
[2,3,6,1,4,2]=>[5,1,6,3,2,1]
[2,3,6,2,1,4]=>[2,3,4,1,5,1]
[2,3,6,2,4,1]=>[3,1,5,1,4,2]
[2,3,6,4,1,2]=>[5,3,6,4,1,1]
[2,3,6,4,2,1]=>[4,1,6,2,3,1]
[2,4,1,2,3,6]=>[1,5,6,2,1,4]
[2,4,1,2,6,3]=>[2,5,6,1,1,4]
[2,4,1,3,2,6]=>[1,5,6,1,2,3]
[2,4,1,3,6,2]=>[2,3,5,1,4,1]
[2,4,1,6,2,3]=>[1,4,6,1,3,2]
[2,4,1,6,3,2]=>[1,3,5,2,4,1]
[2,4,2,1,3,6]=>[5,1,2,3,6,1]
[2,4,2,1,6,3]=>[3,1,2,5,6,1]
[2,4,2,3,1,6]=>[1,1,3,4,6,2]
[2,4,2,3,6,1]=>[1,1,3,2,6,4]
[2,4,2,6,1,3]=>[5,1,2,1,6,3]
[2,4,2,6,3,1]=>[3,1,2,1,6,5]
[2,4,3,1,2,6]=>[4,5,6,1,1,2]
[2,4,3,1,6,2]=>[3,5,6,1,2,1]
[2,4,3,2,1,6]=>[1,2,4,3,5,1]
[2,4,3,2,6,1]=>[1,2,4,1,5,3]
[2,4,3,6,1,2]=>[4,5,6,3,1,1]
[2,4,3,6,2,1]=>[2,4,6,1,3,1]
[2,4,6,1,2,3]=>[1,5,6,4,1,2]
[2,4,6,1,3,2]=>[1,5,6,3,2,1]
[2,4,6,2,1,3]=>[3,2,4,1,5,1]
[2,4,6,2,3,1]=>[1,3,5,1,4,2]
[2,4,6,3,1,2]=>[3,5,6,4,1,1]
[2,4,6,3,2,1]=>[1,4,6,2,3,1]
[2,6,1,2,3,4]=>[1,2,6,5,1,4]
[2,6,1,2,4,3]=>[2,1,6,5,1,4]
[2,6,1,3,2,4]=>[1,1,6,5,2,3]
[2,6,1,3,4,2]=>[2,1,5,3,4,1]
[2,6,1,4,2,3]=>[1,1,6,4,3,2]
[2,6,1,4,3,2]=>[1,2,5,3,4,1]
[2,6,2,1,3,4]=>[5,3,2,1,6,1]
[2,6,2,1,4,3]=>[3,5,2,1,6,1]
[2,6,2,3,1,4]=>[1,4,3,1,6,2]
[2,6,2,3,4,1]=>[1,2,3,1,6,4]
[2,6,2,4,1,3]=>[4,1,3,1,6,2]
[2,6,2,4,3,1]=>[2,1,3,1,6,4]
[2,6,3,1,2,4]=>[4,1,6,5,1,2]
[2,6,3,1,4,2]=>[3,1,6,5,2,1]
[2,6,3,2,1,4]=>[1,3,4,2,5,1]
[2,6,3,2,4,1]=>[1,1,4,2,5,3]
[2,6,3,4,1,2]=>[4,3,6,5,1,1]
[2,6,3,4,2,1]=>[2,1,6,4,3,1]
[2,6,4,1,2,3]=>[1,4,6,5,1,2]
[2,6,4,1,3,2]=>[1,3,6,5,2,1]
[2,6,4,2,1,3]=>[3,1,4,2,5,1]
[2,6,4,2,3,1]=>[1,1,5,3,4,2]
[2,6,4,3,1,2]=>[3,4,6,5,1,1]
[2,6,4,3,2,1]=>[1,2,6,4,3,1]
[3,1,2,2,4,6]=>[2,5,3,5,1,4]
[3,1,2,2,6,4]=>[3,5,2,5,1,4]
[3,1,2,4,2,6]=>[4,4,2,5,1,3]
[3,1,2,4,6,2]=>[5,3,3,6,1,2]
[3,1,2,6,2,4]=>[2,4,4,6,1,3]
[3,1,2,6,4,2]=>[3,3,4,6,1,2]
[3,1,4,2,2,6]=>[4,5,2,4,1,3]
[3,1,4,2,6,2]=>[3,4,3,5,1,2]
[3,1,4,6,2,2]=>[4,6,3,3,1,2]
[3,1,6,2,2,4]=>[2,5,4,4,1,3]
[3,1,6,2,4,2]=>[3,5,3,4,1,2]
[3,1,6,4,2,2]=>[3,6,4,3,1,2]
[3,2,1,2,4,6]=>[3,6,2,2,5,1]
[3,2,1,2,6,4]=>[2,6,3,2,5,1]
[3,2,1,4,2,6]=>[2,6,2,3,4,1]
[3,2,1,4,6,2]=>[3,4,2,5,2,1]
[3,2,1,6,2,4]=>[2,5,2,4,3,1]
[3,2,1,6,4,2]=>[2,4,3,5,2,1]
[3,2,2,1,4,6]=>[4,2,2,6,5,1]
[3,2,2,1,6,4]=>[2,2,3,6,5,1]
[3,2,2,4,1,6]=>[5,2,2,6,4,1]
[3,2,2,4,6,1]=>[5,2,4,6,2,1]
[3,2,2,6,1,4]=>[2,2,5,6,3,1]
[3,2,2,6,4,1]=>[4,2,5,6,2,1]
[3,2,4,1,2,6]=>[5,6,2,2,3,1]
[3,2,4,1,6,2]=>[4,6,2,3,2,1]
[3,2,4,2,1,6]=>[2,3,2,6,4,1]
[3,2,4,2,6,1]=>[2,3,4,6,2,1]
[3,2,4,6,1,2]=>[5,6,4,2,2,1]
[3,2,4,6,2,1]=>[3,5,2,4,2,1]
[3,2,6,1,2,4]=>[2,6,5,2,3,1]
[3,2,6,1,4,2]=>[2,6,4,3,2,1]
[3,2,6,2,1,4]=>[2,4,2,5,3,1]
[3,2,6,2,4,1]=>[4,3,2,6,2,1]
[3,2,6,4,1,2]=>[4,6,5,2,2,1]
[3,2,6,4,2,1]=>[2,5,3,4,2,1]
[3,4,1,2,2,6]=>[1,5,3,5,2,4]
[3,4,1,2,6,2]=>[1,4,4,6,2,3]
[3,4,1,6,2,2]=>[1,5,4,4,2,3]
[3,4,2,1,2,6]=>[1,6,3,3,4,2]
[3,4,2,1,6,2]=>[1,5,3,4,3,2]
[3,4,2,2,1,6]=>[1,3,3,6,5,2]
[3,4,2,2,6,1]=>[1,3,5,6,3,2]
[3,4,2,6,1,2]=>[1,6,5,3,3,2]
[3,4,2,6,2,1]=>[1,4,3,5,3,2]
[3,4,6,1,2,2]=>[1,6,2,4,4,3]
[3,4,6,2,1,2]=>[1,5,2,5,3,4]
[3,4,6,2,2,1]=>[1,4,2,6,4,3]
[3,6,1,2,2,4]=>[3,6,1,3,4,2]
[3,6,1,2,4,2]=>[3,5,1,4,3,2]
[3,6,1,4,2,2]=>[2,6,1,4,4,3]
[3,6,2,1,2,4]=>[3,5,1,5,2,4]
[3,6,2,1,4,2]=>[4,4,1,5,2,3]
[3,6,2,2,1,4]=>[3,3,1,6,4,2]
[3,6,2,2,4,1]=>[5,3,1,6,3,2]
[3,6,2,4,1,2]=>[2,5,1,5,3,4]
[3,6,2,4,2,1]=>[2,4,1,6,4,3]
[3,6,4,1,2,2]=>[5,6,1,3,3,2]
[3,6,4,2,1,2]=>[4,5,1,4,2,3]
[3,6,4,2,2,1]=>[3,4,1,5,3,2]
[4,1,2,2,3,6]=>[5,3,5,1,4,2]
[4,1,2,2,6,3]=>[5,2,5,1,4,3]
[4,1,2,3,2,6]=>[3,3,6,1,2,5]
[4,1,2,3,6,2]=>[4,2,6,1,3,4]
[4,1,2,6,2,3]=>[4,4,6,1,3,2]
[4,1,2,6,3,2]=>[3,5,6,1,2,3]
[4,1,3,2,2,6]=>[6,3,3,1,2,4]
[4,1,3,2,6,2]=>[6,2,4,1,3,4]
[4,1,3,6,2,2]=>[5,3,4,1,2,3]
[4,1,6,2,2,3]=>[5,4,4,1,3,2]
[4,1,6,2,3,2]=>[4,3,5,1,2,3]
[4,1,6,3,2,2]=>[6,5,3,1,2,3]
[4,2,1,2,3,6]=>[6,2,2,5,1,3]
[4,2,1,2,6,3]=>[6,4,2,5,1,2]
[4,2,1,3,2,6]=>[4,2,5,2,1,3]
[4,2,1,3,6,2]=>[5,2,4,3,1,2]
[4,2,1,6,2,3]=>[6,2,3,4,1,2]
[4,2,1,6,3,2]=>[3,4,6,2,1,2]
[4,2,2,1,3,6]=>[2,2,6,5,1,4]
[4,2,2,1,6,3]=>[2,4,6,5,1,2]
[4,2,2,3,1,6]=>[2,4,6,2,1,5]
[4,2,2,3,6,1]=>[2,2,6,4,1,5]
[4,2,2,6,1,3]=>[2,5,6,4,1,2]
[4,2,2,6,3,1]=>[2,5,6,2,1,4]
[4,2,3,1,2,6]=>[5,2,4,2,1,3]
[4,2,3,1,6,2]=>[4,2,5,3,1,2]
[4,2,3,2,1,6]=>[6,4,2,2,1,5]
[4,2,3,2,6,1]=>[6,2,2,3,1,5]
[4,2,3,6,1,2]=>[4,3,5,2,1,2]
[4,2,3,6,2,1]=>[6,2,3,2,1,4]
[4,2,6,1,2,3]=>[6,5,2,4,1,2]
[4,2,6,1,3,2]=>[5,3,4,2,1,2]
[4,2,6,2,1,3]=>[3,2,6,4,1,2]
[4,2,6,2,3,1]=>[3,2,6,2,1,4]
[4,2,6,3,1,2]=>[6,4,3,2,1,2]
[4,2,6,3,2,1]=>[6,5,2,2,1,4]
[4,3,1,2,2,6]=>[6,2,4,4,3,1]
[4,3,1,2,6,2]=>[6,3,3,4,2,1]
[4,3,1,6,2,2]=>[5,3,4,3,2,1]
[4,3,2,1,2,6]=>[4,2,6,4,3,1]
[4,3,2,1,6,2]=>[3,3,6,5,2,1]
[4,3,2,2,1,6]=>[5,2,5,3,4,1]
[4,3,2,2,6,1]=>[5,3,5,2,4,1]
[4,3,2,6,1,2]=>[3,5,6,3,2,1]
[4,3,2,6,2,1]=>[4,4,6,2,3,1]
[4,3,6,1,2,2]=>[6,5,3,3,2,1]
[4,3,6,2,1,2]=>[4,3,5,3,2,1]
[4,3,6,2,2,1]=>[5,4,4,2,3,1]
[4,6,1,2,2,3]=>[6,1,3,5,2,3]
[4,6,1,2,3,2]=>[4,1,5,3,2,3]
[4,6,1,3,2,2]=>[6,1,4,4,3,2]
[4,6,2,1,2,3]=>[5,1,5,2,4,3]
[4,6,2,1,3,2]=>[4,1,6,2,3,4]
[4,6,2,2,1,3]=>[3,1,6,5,2,3]
[4,6,2,2,3,1]=>[3,1,6,3,2,5]
[4,6,2,3,1,2]=>[4,1,6,4,3,2]
[4,6,2,3,2,1]=>[5,1,5,3,4,2]
[4,6,3,1,2,2]=>[6,1,4,2,3,4]
[4,6,3,2,1,2]=>[5,1,4,3,2,3]
[4,6,3,2,2,1]=>[6,1,3,3,2,5]
[6,1,2,2,3,4]=>[3,1,2,3,5,6]
[6,1,2,2,4,3]=>[3,1,2,5,3,6]
[6,1,2,3,2,4]=>[4,1,3,2,4,6]
[6,1,2,3,4,2]=>[5,1,4,2,3,5]
[6,1,2,4,2,3]=>[4,1,3,4,2,6]
[6,1,2,4,3,2]=>[5,1,4,3,2,5]
[6,1,3,2,2,4]=>[4,1,2,3,3,5]
[6,1,3,2,4,2]=>[6,1,2,4,3,3]
[6,1,3,4,2,2]=>[5,1,3,4,2,4]
[6,1,4,2,2,3]=>[5,1,2,3,3,4]
[6,1,4,2,3,2]=>[6,1,2,3,4,3]
[6,1,4,3,2,2]=>[5,1,3,2,4,4]
[6,2,1,2,3,4]=>[3,2,1,2,4,6]
[6,2,1,2,4,3]=>[3,2,1,4,2,6]
[6,2,1,3,2,4]=>[5,3,1,2,2,4]
[6,2,1,3,4,2]=>[6,5,1,3,2,2]
[6,2,1,4,2,3]=>[6,4,1,2,2,3]
[6,2,1,4,3,2]=>[6,5,1,2,3,2]
[6,2,2,1,3,4]=>[2,2,1,4,5,6]
[6,2,2,1,4,3]=>[2,2,1,5,4,6]
[6,2,2,3,1,4]=>[2,4,1,2,5,6]
[6,2,2,3,4,1]=>[2,5,1,2,4,6]
[6,2,2,4,1,3]=>[2,4,1,5,2,6]
[6,2,2,4,3,1]=>[2,5,1,4,2,6]
[6,2,3,1,2,4]=>[5,2,1,3,2,4]
[6,2,3,1,4,2]=>[6,3,1,5,2,2]
[6,2,3,2,1,4]=>[4,2,1,2,3,5]
[6,2,3,2,4,1]=>[3,4,1,2,2,6]
[6,2,3,4,1,2]=>[6,2,1,5,3,2]
[6,2,3,4,2,1]=>[6,2,1,4,2,3]
[6,2,4,1,2,3]=>[5,2,1,2,3,4]
[6,2,4,1,3,2]=>[6,3,1,2,5,2]
[6,2,4,2,1,3]=>[4,2,1,3,2,5]
[6,2,4,2,3,1]=>[4,3,1,2,2,5]
[6,2,4,3,1,2]=>[6,2,1,3,5,2]
[6,2,4,3,2,1]=>[6,2,1,2,4,3]
[6,3,1,2,2,4]=>[4,3,2,1,3,5]
[6,3,1,2,4,2]=>[5,4,3,1,2,4]
[6,3,1,4,2,2]=>[6,4,2,1,3,3]
[6,3,2,1,2,4]=>[4,2,3,1,4,6]
[6,3,2,1,4,2]=>[5,2,4,1,3,5]
[6,3,2,2,1,4]=>[3,3,2,1,5,6]
[6,3,2,2,4,1]=>[3,5,2,1,3,6]
[6,3,2,4,1,2]=>[5,3,4,1,2,5]
[6,3,2,4,2,1]=>[4,4,3,1,2,6]
[6,3,4,1,2,2]=>[5,2,3,1,4,4]
[6,3,4,2,1,2]=>[6,3,2,1,4,3]
[6,3,4,2,2,1]=>[5,3,2,1,3,4]
[6,4,1,2,2,3]=>[4,3,2,3,1,5]
[6,4,1,2,3,2]=>[5,4,3,2,1,4]
[6,4,1,3,2,2]=>[6,4,2,3,1,3]
[6,4,2,1,2,3]=>[4,2,3,4,1,6]
[6,4,2,1,3,2]=>[5,2,4,3,1,5]
[6,4,2,2,1,3]=>[3,3,2,5,1,6]
[6,4,2,2,3,1]=>[3,5,2,3,1,6]
[6,4,2,3,1,2]=>[5,3,4,2,1,5]
[6,4,2,3,2,1]=>[4,4,3,2,1,6]
[6,4,3,1,2,2]=>[6,3,2,4,1,3]
[6,4,3,2,1,2]=>[5,2,3,4,1,4]
[6,4,3,2,2,1]=>[5,3,2,3,1,4]
[1,2,2,3,5,5]=>[1,2,2,3,5,5]
[1,2,2,5,3,5]=>[1,4,2,2,5,4]
[1,2,2,5,5,3]=>[1,4,2,2,4,5]
[1,2,3,2,5,5]=>[1,2,3,2,4,4]
[1,2,3,5,2,5]=>[1,3,5,2,2,3]
[1,2,3,5,5,2]=>[1,3,5,2,3,2]
[1,2,5,2,3,5]=>[1,2,5,3,2,5]
[1,2,5,2,5,3]=>[1,3,3,2,2,5]
[1,2,5,3,2,5]=>[1,2,4,2,3,4]
[1,2,5,3,5,2]=>[1,3,3,2,5,2]
[1,2,5,5,2,3]=>[1,2,4,2,4,3]
[1,2,5,5,3,2]=>[1,2,5,3,5,2]
[1,3,2,2,5,5]=>[2,1,3,3,5,5]
[1,3,2,5,2,5]=>[2,1,4,3,3,4]
[1,3,2,5,5,2]=>[2,1,4,3,4,3]
[1,3,5,2,2,5]=>[3,1,4,2,4,3]
[1,3,5,2,5,2]=>[3,1,4,2,3,4]
[1,3,5,5,2,2]=>[3,1,3,2,4,4]
[1,5,2,2,3,5]=>[3,2,5,1,5,2]
[1,5,2,2,5,3]=>[2,2,3,1,3,4]
[1,5,2,3,2,5]=>[2,3,3,1,5,2]
[1,5,2,3,5,2]=>[2,2,3,1,4,3]
[1,5,2,5,2,3]=>[2,3,3,1,2,5]
[1,5,2,5,3,2]=>[3,2,5,1,2,5]
[1,5,3,2,2,5]=>[2,3,5,1,3,2]
[1,5,3,2,5,2]=>[2,3,5,1,2,3]
[1,5,3,5,2,2]=>[2,2,4,1,3,3]
[1,5,5,2,2,3]=>[2,3,2,1,3,5]
[1,5,5,2,3,2]=>[2,3,2,1,5,3]
[1,5,5,3,2,2]=>[3,2,2,1,5,5]
[2,1,2,3,5,5]=>[1,6,2,1,4,4]
[2,1,2,5,3,5]=>[2,5,1,1,4,2]
[2,1,2,5,5,3]=>[2,6,1,1,2,4]
[2,1,3,2,5,5]=>[1,6,1,2,3,3]
[2,1,3,5,2,5]=>[2,5,1,4,1,2]
[2,1,3,5,5,2]=>[2,3,1,4,2,1]
[2,1,5,2,3,5]=>[1,6,2,4,1,4]
[2,1,5,2,5,3]=>[2,6,1,2,1,4]
[2,1,5,3,2,5]=>[1,6,1,3,2,3]
[2,1,5,3,5,2]=>[2,3,1,2,4,1]
[2,1,5,5,2,3]=>[1,4,1,3,3,2]
[2,1,5,5,3,2]=>[1,3,2,4,4,1]
[2,2,1,3,5,5]=>[4,1,3,5,4,1]
[2,2,1,5,3,5]=>[4,1,3,4,5,1]
[2,2,1,5,5,3]=>[3,1,4,5,5,1]
[2,2,3,1,5,5]=>[1,1,4,5,5,2]
[2,2,3,5,1,5]=>[1,1,2,6,4,4]
[2,2,3,5,5,1]=>[1,1,2,4,6,4]
[2,2,5,1,3,5]=>[3,1,1,5,4,3]
[2,2,5,1,5,3]=>[3,1,1,6,3,4]
[2,2,5,3,1,5]=>[5,1,1,6,3,3]
[2,2,5,3,5,1]=>[3,1,1,4,5,3]
[2,2,5,5,1,3]=>[5,1,1,3,6,3]
[2,2,5,5,3,1]=>[3,1,1,3,6,4]
[2,3,1,2,5,5]=>[5,6,1,1,2,2]
[2,3,1,5,2,5]=>[5,6,1,2,1,2]
[2,3,1,5,5,2]=>[3,6,1,2,2,1]
[2,3,2,1,5,5]=>[1,2,3,5,5,1]
[2,3,2,5,1,5]=>[1,2,1,6,3,3]
[2,3,2,5,5,1]=>[1,2,1,3,6,3]
[2,3,5,1,2,5]=>[2,4,1,5,1,2]
[2,3,5,1,5,2]=>[2,4,1,3,2,1]
[2,3,5,2,1,5]=>[4,5,3,1,4,1]
[2,3,5,2,5,1]=>[2,4,1,1,5,2]
[2,3,5,5,1,2]=>[4,5,3,4,1,1]
[2,3,5,5,2,1]=>[2,4,1,2,3,1]
[2,5,1,2,3,5]=>[1,4,2,6,1,4]
[2,5,1,2,5,3]=>[2,2,1,6,1,4]
[2,5,1,3,2,5]=>[1,3,1,6,2,3]
[2,5,1,3,5,2]=>[2,2,1,3,4,1]
[2,5,1,5,2,3]=>[1,3,1,4,3,2]
[2,5,1,5,3,2]=>[1,4,2,3,4,1]
[2,5,2,1,3,5]=>[4,4,3,1,5,1]
[2,5,2,1,5,3]=>[3,5,4,1,5,1]
[2,5,2,3,1,5]=>[1,5,4,1,5,2]
[2,5,2,3,5,1]=>[1,4,2,1,6,4]
[2,5,2,5,1,3]=>[5,2,1,1,6,2]
[2,5,2,5,3,1]=>[2,2,1,1,6,4]
[2,5,3,1,2,5]=>[5,2,1,6,1,2]
[2,5,3,1,5,2]=>[3,2,1,6,2,1]
[2,5,3,2,1,5]=>[1,5,3,2,5,1]
[2,5,3,2,5,1]=>[1,3,1,2,6,3]
[2,5,3,5,1,2]=>[4,4,3,5,1,1]
[2,5,3,5,2,1]=>[2,2,1,4,3,1]
[2,5,5,1,2,3]=>[1,5,4,5,1,2]
[2,5,5,1,3,2]=>[1,5,3,5,2,1]
[2,5,5,2,1,3]=>[3,2,1,2,6,1]
[2,5,5,2,3,1]=>[1,3,1,3,4,2]
[2,5,5,3,1,2]=>[3,5,4,5,1,1]
[2,5,5,3,2,1]=>[1,4,2,4,3,1]
[3,1,2,2,5,5]=>[5,2,5,3,1,3]
[3,1,2,5,2,5]=>[5,2,3,5,1,3]
[3,1,2,5,5,2]=>[3,3,5,5,1,2]
[3,1,5,2,2,5]=>[3,2,5,5,1,3]
[3,1,5,2,5,2]=>[4,3,3,4,1,2]
[3,1,5,5,2,2]=>[4,3,4,3,1,2]
[3,2,1,2,5,5]=>[6,2,2,3,3,1]
[3,2,1,5,2,5]=>[6,2,3,2,3,1]
[3,2,1,5,5,2]=>[4,2,3,3,2,1]
[3,2,2,1,5,5]=>[2,2,6,4,4,1]
[3,2,2,5,1,5]=>[2,2,4,6,4,1]
[3,2,2,5,5,1]=>[2,4,5,5,2,1]
[3,2,5,1,2,5]=>[3,2,6,2,3,1]
[3,2,5,1,5,2]=>[3,2,4,3,2,1]
[3,2,5,2,1,5]=>[3,2,2,6,3,1]
[3,2,5,2,5,1]=>[5,4,2,5,2,1]
[3,2,5,5,1,2]=>[5,4,5,2,2,1]
[3,2,5,5,2,1]=>[3,2,3,4,2,1]
[3,5,1,2,2,5]=>[3,1,4,4,2,2]
[3,5,1,2,5,2]=>[6,1,4,2,4,2]
[3,5,1,5,2,2]=>[6,1,2,4,4,2]
[3,5,2,1,2,5]=>[4,1,3,4,2,2]
[3,5,2,1,5,2]=>[4,1,6,2,4,2]
[3,5,2,2,1,5]=>[4,1,4,3,2,2]
[3,5,2,2,5,1]=>[5,1,5,2,2,4]
[3,5,2,5,1,2]=>[5,1,2,5,2,4]
[3,5,2,5,2,1]=>[4,1,2,6,4,2]
[3,5,5,1,2,2]=>[2,1,5,5,2,4]
[3,5,5,2,1,2]=>[2,1,6,4,4,2]
[3,5,5,2,2,1]=>[2,1,4,6,4,2]
[5,1,2,2,3,5]=>[6,4,4,2,1,1]
[5,1,2,2,5,3]=>[5,2,2,1,1,3]
[5,1,2,3,2,5]=>[6,2,5,1,2,1]
[5,1,2,3,5,2]=>[6,2,3,1,1,2]
[5,1,2,5,2,3]=>[2,3,1,1,3,6]
[5,1,2,5,3,2]=>[2,5,1,3,1,5]
[5,1,3,2,2,5]=>[4,5,2,1,2,1]
[5,1,3,2,5,2]=>[4,3,2,1,1,2]
[5,1,3,5,2,2]=>[2,5,1,1,3,3]
[5,1,5,2,2,3]=>[4,1,3,1,3,5]
[5,1,5,2,3,2]=>[6,1,4,1,3,3]
[5,1,5,3,2,2]=>[5,1,4,3,1,4]
[5,2,1,2,3,5]=>[4,6,4,2,1,1]
[5,2,1,2,5,3]=>[2,5,2,1,1,3]
[5,2,1,3,2,5]=>[2,6,5,1,2,1]
[5,2,1,3,5,2]=>[2,6,3,1,1,2]
[5,2,1,5,2,3]=>[3,2,1,1,3,6]
[5,2,1,5,3,2]=>[5,2,1,3,1,5]
[5,2,2,1,3,5]=>[5,5,2,4,1,1]
[5,2,2,1,5,3]=>[4,4,1,2,1,3]
[5,2,2,3,1,5]=>[5,5,1,4,2,1]
[5,2,2,3,5,1]=>[5,5,1,3,1,2]
[5,2,2,5,1,3]=>[3,3,1,1,2,4]
[5,2,2,5,3,1]=>[2,2,3,1,1,6]
[5,2,3,1,2,5]=>[2,6,2,1,5,1]
[5,2,3,1,5,2]=>[3,4,1,1,2,3]
[5,2,3,2,1,5]=>[4,6,1,2,4,1]
[5,2,3,2,5,1]=>[3,6,1,1,3,2]
[5,2,3,5,1,2]=>[4,3,1,2,1,4]
[5,2,3,5,2,1]=>[2,3,2,1,1,5]
[5,2,5,1,2,3]=>[4,1,1,3,4,6]
[5,2,5,1,3,2]=>[5,1,1,4,3,5]
[5,2,5,2,1,3]=>[3,1,3,1,5,6]
[5,2,5,2,3,1]=>[3,1,5,1,3,6]
[5,2,5,3,1,2]=>[5,1,3,4,1,5]
[5,2,5,3,2,1]=>[4,1,4,3,1,6]
[5,3,1,2,2,5]=>[5,4,2,1,2,1]
[5,3,1,2,5,2]=>[3,4,2,1,1,2]
[5,3,1,5,2,2]=>[5,2,1,1,3,3]
[5,3,2,1,2,5]=>[6,2,2,1,5,1]
[5,3,2,1,5,2]=>[4,3,1,1,2,3]
[5,3,2,2,1,5]=>[6,4,1,2,4,1]
[5,3,2,2,5,1]=>[6,3,1,1,3,2]
[5,3,2,5,1,2]=>[3,4,1,2,1,4]
[5,3,2,5,2,1]=>[3,2,2,1,1,5]
[5,3,5,1,2,2]=>[5,1,1,3,4,4]
[5,3,5,2,1,2]=>[6,1,3,1,4,3]
[5,3,5,2,2,1]=>[5,1,3,1,3,4]
[5,5,1,2,2,3]=>[1,4,1,3,4,6]
[5,5,1,2,3,2]=>[1,5,1,4,3,5]
[5,5,1,3,2,2]=>[1,5,1,3,4,4]
[5,5,2,1,2,3]=>[1,4,3,1,3,5]
[5,5,2,1,3,2]=>[1,6,4,1,3,3]
[5,5,2,2,1,3]=>[1,3,3,1,5,6]
[5,5,2,2,3,1]=>[1,3,5,1,3,6]
[5,5,2,3,1,2]=>[1,6,3,1,4,3]
[5,5,2,3,2,1]=>[1,5,3,1,3,4]
[5,5,3,1,2,2]=>[1,5,4,3,1,4]
[5,5,3,2,1,2]=>[1,5,3,4,1,5]
[5,5,3,2,2,1]=>[1,4,4,3,1,6]
[1,2,2,3,5,6]=>[1,2,2,3,5,6]
[1,2,2,3,6,5]=>[1,2,2,5,3,6]
[1,2,2,5,3,6]=>[1,4,2,2,5,6]
[1,2,2,5,6,3]=>[1,5,2,2,4,6]
[1,2,2,6,3,5]=>[1,4,2,5,2,6]
[1,2,2,6,5,3]=>[1,5,2,4,2,6]
[1,2,3,2,5,6]=>[1,2,3,2,4,6]
[1,2,3,2,6,5]=>[1,2,3,4,2,6]
[1,2,3,5,2,6]=>[1,3,5,2,2,4]
[1,2,3,5,6,2]=>[1,5,6,3,2,2]
[1,2,3,6,2,5]=>[1,4,6,2,2,3]
[1,2,3,6,5,2]=>[1,5,6,2,3,2]
[1,2,5,2,3,6]=>[1,2,4,2,3,5]
[1,2,5,2,6,3]=>[1,4,3,2,2,6]
[1,2,5,3,2,6]=>[1,2,5,3,2,4]
[1,2,5,3,6,2]=>[1,3,6,5,2,2]
[1,2,5,6,2,3]=>[1,2,6,4,2,3]
[1,2,5,6,3,2]=>[1,2,6,5,3,2]
[1,2,6,2,3,5]=>[1,2,4,3,2,5]
[1,2,6,2,5,3]=>[1,3,4,2,2,5]
[1,2,6,3,2,5]=>[1,2,5,2,3,4]
[1,2,6,3,5,2]=>[1,3,6,2,5,2]
[1,2,6,5,2,3]=>[1,2,6,2,4,3]
[1,2,6,5,3,2]=>[1,2,6,3,5,2]
[1,3,2,2,5,6]=>[2,1,3,3,5,6]
[1,3,2,2,6,5]=>[2,1,3,5,3,6]
[1,3,2,5,2,6]=>[2,1,4,3,3,5]
[1,3,2,5,6,2]=>[2,1,6,4,3,3]
[1,3,2,6,2,5]=>[2,1,5,3,3,4]
[1,3,2,6,5,2]=>[2,1,6,3,4,3]
[1,3,5,2,2,6]=>[3,1,4,2,4,6]
[1,3,5,2,6,2]=>[4,1,5,2,3,5]
[1,3,5,6,2,2]=>[3,1,5,2,4,4]
[1,3,6,2,2,5]=>[3,1,4,4,2,6]
[1,3,6,2,5,2]=>[4,1,5,3,2,5]
[1,3,6,5,2,2]=>[3,1,5,4,2,4]
[1,5,2,2,3,6]=>[2,3,3,1,4,6]
[1,5,2,2,6,3]=>[2,5,3,1,3,6]
[1,5,2,3,2,6]=>[3,2,4,1,4,6]
[1,5,2,3,6,2]=>[4,2,5,1,3,5]
[1,5,2,6,2,3]=>[3,4,4,1,2,5]
[1,5,2,6,3,2]=>[4,3,5,1,2,5]
[1,5,3,2,2,6]=>[2,3,4,1,3,5]
[1,5,3,2,6,2]=>[3,4,5,1,2,4]
[1,5,3,6,2,2]=>[2,4,6,1,3,3]
[1,5,6,2,2,3]=>[2,3,5,1,3,4]
[1,5,6,2,3,2]=>[2,3,6,1,4,3]
[1,5,6,3,2,2]=>[3,2,5,1,4,4]
[1,6,2,2,3,5]=>[2,3,3,4,1,6]
[1,6,2,2,5,3]=>[2,5,3,3,1,6]
[1,6,2,3,2,5]=>[3,2,4,4,1,6]
[1,6,2,3,5,2]=>[4,2,5,3,1,5]
[1,6,2,5,2,3]=>[3,4,4,2,1,5]
[1,6,2,5,3,2]=>[4,3,5,2,1,5]
[1,6,3,2,2,5]=>[2,3,4,3,1,5]
[1,6,3,2,5,2]=>[3,4,5,2,1,4]
[1,6,3,5,2,2]=>[2,4,6,3,1,3]
[1,6,5,2,2,3]=>[2,3,5,3,1,4]
[1,6,5,2,3,2]=>[3,2,5,4,1,4]
[1,6,5,3,2,2]=>[2,3,6,4,1,3]
[2,1,2,3,5,6]=>[1,6,2,4,1,5]
[2,1,2,3,6,5]=>[1,6,4,2,1,5]
[2,1,2,5,3,6]=>[2,6,1,4,1,5]
[2,1,2,5,6,3]=>[4,6,1,2,1,5]
[2,1,2,6,3,5]=>[2,6,4,1,1,5]
[2,1,2,6,5,3]=>[4,6,2,1,1,5]
[2,1,3,2,5,6]=>[1,6,1,3,2,5]
[2,1,3,2,6,5]=>[1,6,3,1,2,5]
[2,1,3,5,2,6]=>[2,5,1,1,4,3]
[2,1,3,5,6,2]=>[4,3,2,1,6,1]
[2,1,3,6,2,5]=>[3,4,1,1,5,2]
[2,1,3,6,5,2]=>[4,3,1,2,6,1]
[2,1,5,2,3,6]=>[1,6,1,2,3,4]
[2,1,5,2,6,3]=>[3,6,1,1,2,5]
[2,1,5,3,2,6]=>[1,5,2,1,4,3]
[2,1,5,3,6,2]=>[2,3,4,1,6,1]
[2,1,5,6,2,3]=>[1,4,3,1,5,2]
[2,1,5,6,3,2]=>[1,3,4,2,6,1]
[2,1,6,2,3,5]=>[1,6,2,1,3,4]
[2,1,6,2,5,3]=>[2,6,1,1,3,4]
[2,1,6,3,2,5]=>[1,5,1,2,4,3]
[2,1,6,3,5,2]=>[2,3,1,4,6,1]
[2,1,6,5,2,3]=>[1,4,1,3,5,2]
[2,1,6,5,3,2]=>[1,3,2,4,6,1]
[2,2,1,3,5,6]=>[5,1,4,3,6,1]
[2,2,1,3,6,5]=>[5,1,3,4,6,1]
[2,2,1,5,3,6]=>[4,1,5,3,6,1]
[2,2,1,5,6,3]=>[3,1,5,4,6,1]
[2,2,1,6,3,5]=>[4,1,3,5,6,1]
[2,2,1,6,5,3]=>[3,1,4,5,6,1]
[2,2,3,1,5,6]=>[1,1,5,4,6,2]
[2,2,3,1,6,5]=>[1,1,4,5,6,2]
[2,2,3,5,1,6]=>[1,1,2,5,6,4]
[2,2,3,5,6,1]=>[1,1,2,4,6,5]
[2,2,3,6,1,5]=>[1,1,5,2,6,4]
[2,2,3,6,5,1]=>[1,1,4,2,6,5]
[2,2,5,1,3,6]=>[5,1,1,4,6,3]
[2,2,5,1,6,3]=>[4,1,1,5,6,3]
[2,2,5,3,1,6]=>[3,1,1,5,6,4]
[2,2,5,3,6,1]=>[3,1,1,4,6,5]
[2,2,5,6,1,3]=>[5,1,1,3,6,4]
[2,2,5,6,3,1]=>[4,1,1,3,6,5]
[2,2,6,1,3,5]=>[5,1,4,1,6,3]
[2,2,6,1,5,3]=>[4,1,5,1,6,3]
[2,2,6,3,1,5]=>[3,1,5,1,6,4]
[2,2,6,3,5,1]=>[3,1,4,1,6,5]
[2,2,6,5,1,3]=>[5,1,3,1,6,4]
[2,2,6,5,3,1]=>[4,1,3,1,6,5]
[2,3,1,2,5,6]=>[5,6,1,2,1,4]
[2,3,1,2,6,5]=>[5,6,2,1,1,4]
[2,3,1,5,2,6]=>[5,6,1,1,2,3]
[2,3,1,5,6,2]=>[3,5,2,1,4,1]
[2,3,1,6,2,5]=>[4,6,1,1,3,2]
[2,3,1,6,5,2]=>[3,5,1,2,4,1]
[2,3,2,1,5,6]=>[1,2,5,3,6,1]
[2,3,2,1,6,5]=>[1,2,3,5,6,1]
[2,3,2,5,1,6]=>[1,2,1,5,6,3]
[2,3,2,5,6,1]=>[1,2,1,3,6,5]
[2,3,2,6,1,5]=>[1,2,5,1,6,3]
[2,3,2,6,5,1]=>[1,2,3,1,6,5]
[2,3,5,1,2,6]=>[5,6,4,1,1,2]
[2,3,5,1,6,2]=>[5,6,3,1,2,1]
[2,3,5,2,1,6]=>[2,4,1,3,5,1]
[2,3,5,2,6,1]=>[2,4,1,1,5,3]
[2,3,5,6,1,2]=>[5,6,4,3,1,1]
[2,3,5,6,2,1]=>[4,6,2,1,3,1]
[2,3,6,1,2,5]=>[5,6,1,4,1,2]
[2,3,6,1,5,2]=>[5,6,1,3,2,1]
[2,3,6,2,1,5]=>[2,4,3,1,5,1]
[2,3,6,2,5,1]=>[3,5,1,1,4,2]
[2,3,6,5,1,2]=>[5,6,3,4,1,1]
[2,3,6,5,2,1]=>[4,6,1,2,3,1]
[2,5,1,2,3,6]=>[1,6,5,2,1,4]
[2,5,1,2,6,3]=>[2,6,5,1,1,4]
[2,5,1,3,2,6]=>[1,6,5,1,2,3]
[2,5,1,3,6,2]=>[2,5,3,1,4,1]
[2,5,1,6,2,3]=>[1,6,4,1,3,2]
[2,5,1,6,3,2]=>[1,5,3,2,4,1]
[2,5,2,1,3,6]=>[5,2,1,3,6,1]
[2,5,2,1,6,3]=>[3,2,1,5,6,1]
[2,5,2,3,1,6]=>[1,3,1,4,6,2]
[2,5,2,3,6,1]=>[1,3,1,2,6,4]
[2,5,2,6,1,3]=>[5,2,1,1,6,3]
[2,5,2,6,3,1]=>[3,2,1,1,6,5]
[2,5,3,1,2,6]=>[4,6,5,1,1,2]
[2,5,3,1,6,2]=>[3,6,5,1,2,1]
[2,5,3,2,1,6]=>[1,4,2,3,5,1]
[2,5,3,2,6,1]=>[1,4,2,1,5,3]
[2,5,3,6,1,2]=>[4,6,5,3,1,1]
[2,5,3,6,2,1]=>[2,6,4,1,3,1]
[2,5,6,1,2,3]=>[1,6,5,4,1,2]
[2,5,6,1,3,2]=>[1,6,5,3,2,1]
[2,5,6,2,1,3]=>[3,4,2,1,5,1]
[2,5,6,2,3,1]=>[1,5,3,1,4,2]
[2,5,6,3,1,2]=>[3,6,5,4,1,1]
[2,5,6,3,2,1]=>[1,6,4,2,3,1]
[2,6,1,2,3,5]=>[1,6,2,5,1,4]
[2,6,1,2,5,3]=>[2,6,1,5,1,4]
[2,6,1,3,2,5]=>[1,6,1,5,2,3]
[2,6,1,3,5,2]=>[2,5,1,3,4,1]
[2,6,1,5,2,3]=>[1,6,1,4,3,2]
[2,6,1,5,3,2]=>[1,5,2,3,4,1]
[2,6,2,1,3,5]=>[5,2,3,1,6,1]
[2,6,2,1,5,3]=>[3,2,5,1,6,1]
[2,6,2,3,1,5]=>[1,3,4,1,6,2]
[2,6,2,3,5,1]=>[1,3,2,1,6,4]
[2,6,2,5,1,3]=>[4,3,1,1,6,2]
[2,6,2,5,3,1]=>[2,3,1,1,6,4]
[2,6,3,1,2,5]=>[4,6,1,5,1,2]
[2,6,3,1,5,2]=>[3,6,1,5,2,1]
[2,6,3,2,1,5]=>[1,4,3,2,5,1]
[2,6,3,2,5,1]=>[1,4,1,2,5,3]
[2,6,3,5,1,2]=>[4,6,3,5,1,1]
[2,6,3,5,2,1]=>[2,6,1,4,3,1]
[2,6,5,1,2,3]=>[1,6,4,5,1,2]
[2,6,5,1,3,2]=>[1,6,3,5,2,1]
[2,6,5,2,1,3]=>[3,4,1,2,5,1]
[2,6,5,2,3,1]=>[1,5,1,3,4,2]
[2,6,5,3,1,2]=>[3,6,4,5,1,1]
[2,6,5,3,2,1]=>[1,6,2,4,3,1]
[3,1,2,2,5,6]=>[5,2,3,5,1,4]
[3,1,2,2,6,5]=>[5,3,2,5,1,4]
[3,1,2,5,2,6]=>[4,4,2,6,1,3]
[3,1,2,5,6,2]=>[3,5,3,6,1,2]
[3,1,2,6,2,5]=>[4,2,4,6,1,3]
[3,1,2,6,5,2]=>[3,3,5,6,1,2]
[3,1,5,2,2,6]=>[5,4,2,4,1,3]
[3,1,5,2,6,2]=>[4,3,3,5,1,2]
[3,1,5,6,2,2]=>[6,4,3,3,1,2]
[3,1,6,2,2,5]=>[5,2,4,4,1,3]
[3,1,6,2,5,2]=>[5,3,3,4,1,2]
[3,1,6,5,2,2]=>[6,3,4,3,1,2]
[3,2,1,2,5,6]=>[6,3,2,2,5,1]
[3,2,1,2,6,5]=>[6,2,3,2,5,1]
[3,2,1,5,2,6]=>[6,2,2,3,4,1]
[3,2,1,5,6,2]=>[4,3,2,5,2,1]
[3,2,1,6,2,5]=>[5,2,2,4,3,1]
[3,2,1,6,5,2]=>[4,2,3,5,2,1]
[3,2,2,1,5,6]=>[2,4,2,6,5,1]
[3,2,2,1,6,5]=>[2,2,4,6,5,1]
[3,2,2,5,1,6]=>[2,5,2,6,4,1]
[3,2,2,5,6,1]=>[2,5,4,6,2,1]
[3,2,2,6,1,5]=>[2,2,5,6,4,1]
[3,2,2,6,5,1]=>[2,4,5,6,2,1]
[3,2,5,1,2,6]=>[6,5,2,2,3,1]
[3,2,5,1,6,2]=>[6,4,2,3,2,1]
[3,2,5,2,1,6]=>[3,2,2,6,4,1]
[3,2,5,2,6,1]=>[3,2,4,6,2,1]
[3,2,5,6,1,2]=>[6,5,4,2,2,1]
[3,2,5,6,2,1]=>[5,3,2,4,2,1]
[3,2,6,1,2,5]=>[6,2,5,2,3,1]
[3,2,6,1,5,2]=>[6,2,4,3,2,1]
[3,2,6,2,1,5]=>[4,2,2,5,3,1]
[3,2,6,2,5,1]=>[3,4,2,6,2,1]
[3,2,6,5,1,2]=>[6,4,5,2,2,1]
[3,2,6,5,2,1]=>[5,2,3,4,2,1]
[3,5,1,2,2,6]=>[6,1,3,3,4,2]
[3,5,1,2,6,2]=>[5,1,3,4,3,2]
[3,5,1,6,2,2]=>[6,1,2,4,4,3]
[3,5,2,1,2,6]=>[5,1,3,5,2,4]
[3,5,2,1,6,2]=>[4,1,4,6,2,3]
[3,5,2,2,1,6]=>[3,1,3,6,5,2]
[3,5,2,2,6,1]=>[3,1,5,6,3,2]
[3,5,2,6,1,2]=>[5,1,2,5,3,4]
[3,5,2,6,2,1]=>[4,1,2,6,4,3]
[3,5,6,1,2,2]=>[5,1,4,4,2,3]
[3,5,6,2,1,2]=>[6,1,5,3,3,2]
[3,5,6,2,2,1]=>[4,1,3,5,3,2]
[3,6,1,2,2,5]=>[6,3,1,3,4,2]
[3,6,1,2,5,2]=>[5,3,1,4,3,2]
[3,6,1,5,2,2]=>[6,2,1,4,4,3]
[3,6,2,1,2,5]=>[5,3,1,5,2,4]
[3,6,2,1,5,2]=>[4,4,1,6,2,3]
[3,6,2,2,1,5]=>[3,3,1,6,5,2]
[3,6,2,2,5,1]=>[3,5,1,6,3,2]
[3,6,2,5,1,2]=>[5,2,1,5,3,4]
[3,6,2,5,2,1]=>[4,2,1,6,4,3]
[3,6,5,1,2,2]=>[6,5,1,3,3,2]
[3,6,5,2,1,2]=>[5,4,1,4,2,3]
[3,6,5,2,2,1]=>[4,3,1,5,3,2]
[5,1,2,2,3,6]=>[5,3,1,2,3,6]
[5,1,2,2,6,3]=>[3,3,1,2,4,6]
[5,1,2,3,2,6]=>[4,4,1,3,2,5]
[5,1,2,3,6,2]=>[3,5,1,4,2,5]
[5,1,2,6,2,3]=>[2,4,1,3,4,6]
[5,1,2,6,3,2]=>[2,5,1,4,3,5]
[5,1,3,2,2,6]=>[3,5,1,2,3,4]
[5,1,3,2,6,2]=>[3,6,1,2,4,3]
[5,1,3,6,2,2]=>[2,5,1,3,4,4]
[5,1,6,2,2,3]=>[3,4,1,2,3,5]
[5,1,6,2,3,2]=>[4,5,1,3,2,4]
[5,1,6,3,2,2]=>[4,6,1,2,3,3]
[5,2,1,2,3,6]=>[4,3,2,1,2,6]
[5,2,1,2,6,3]=>[2,4,2,1,3,5]
[5,2,1,3,2,6]=>[2,6,4,1,2,3]
[5,2,1,3,6,2]=>[2,6,5,1,3,2]
[5,2,1,6,2,3]=>[2,5,3,1,2,4]
[5,2,1,6,3,2]=>[3,6,5,1,2,2]
[5,2,2,1,3,6]=>[5,2,2,1,4,6]
[5,2,2,1,6,3]=>[4,2,2,1,5,6]
[5,2,2,3,1,6]=>[5,2,4,1,2,6]
[5,2,2,3,6,1]=>[4,2,5,1,2,6]
[5,2,2,6,1,3]=>[2,2,3,1,5,6]
[5,2,2,6,3,1]=>[2,2,5,1,3,6]
[5,2,3,1,2,6]=>[2,6,2,1,4,3]
[5,2,3,1,6,2]=>[2,6,3,1,5,2]
[5,2,3,2,1,6]=>[3,4,2,1,2,5]
[5,2,3,2,6,1]=>[2,4,3,1,2,5]
[5,2,3,6,1,2]=>[3,6,2,1,5,2]
[5,2,3,6,2,1]=>[2,5,2,1,3,4]
[5,2,6,1,2,3]=>[3,5,2,1,2,4]
[5,2,6,1,3,2]=>[5,6,3,1,2,2]
[5,2,6,2,1,3]=>[2,3,2,1,4,6]
[5,2,6,2,3,1]=>[2,3,4,1,2,6]
[5,2,6,3,1,2]=>[5,6,2,1,3,2]
[5,2,6,3,2,1]=>[4,6,2,1,2,3]
[5,3,1,2,2,6]=>[3,5,3,2,1,4]
[5,3,1,2,6,2]=>[2,5,4,3,1,4]
[5,3,1,6,2,2]=>[3,6,4,2,1,3]
[5,3,2,1,2,6]=>[4,4,2,3,1,5]
[5,3,2,1,6,2]=>[3,5,2,4,1,5]
[5,3,2,2,1,6]=>[5,3,3,2,1,6]
[5,3,2,2,6,1]=>[3,3,4,2,1,6]
[5,3,2,6,1,2]=>[2,5,3,4,1,5]
[5,3,2,6,2,1]=>[2,4,4,3,1,6]
[5,3,6,1,2,2]=>[4,6,3,2,1,3]
[5,3,6,2,1,2]=>[4,5,2,3,1,4]
[5,3,6,2,2,1]=>[3,4,3,2,1,5]
[5,6,1,2,2,3]=>[1,4,2,3,4,6]
[5,6,1,2,3,2]=>[1,5,2,4,3,5]
[5,6,1,3,2,2]=>[1,5,2,3,4,4]
[5,6,2,1,2,3]=>[1,4,3,2,3,5]
[5,6,2,1,3,2]=>[1,6,4,2,3,3]
[5,6,2,2,1,3]=>[1,3,3,2,5,6]
[5,6,2,2,3,1]=>[1,3,5,2,3,6]
[5,6,2,3,1,2]=>[1,6,3,2,4,3]
[5,6,2,3,2,1]=>[1,5,3,2,3,4]
[5,6,3,1,2,2]=>[1,5,4,3,2,4]
[5,6,3,2,1,2]=>[1,5,3,4,2,5]
[5,6,3,2,2,1]=>[1,4,4,3,2,6]
[6,1,2,2,3,5]=>[3,1,2,3,6,5]
[6,1,2,2,5,3]=>[3,1,2,5,6,3]
[6,1,2,3,2,5]=>[4,1,3,2,6,4]
[6,1,2,3,5,2]=>[5,1,4,2,5,3]
[6,1,2,5,2,3]=>[5,1,4,3,5,2]
[6,1,2,5,3,2]=>[4,1,3,4,6,2]
[6,1,3,2,2,5]=>[4,1,2,3,5,3]
[6,1,3,2,5,2]=>[6,1,2,5,3,3]
[6,1,3,5,2,2]=>[5,1,3,4,4,2]
[6,1,5,2,2,3]=>[6,1,2,3,3,4]
[6,1,5,2,3,2]=>[5,1,2,3,4,3]
[6,1,5,3,2,2]=>[6,1,3,2,4,4]
[6,2,1,2,3,5]=>[3,2,1,2,6,4]
[6,2,1,2,5,3]=>[3,2,1,4,6,2]
[6,2,1,3,2,5]=>[5,3,1,2,4,2]
[6,2,1,3,5,2]=>[6,5,1,4,2,2]
[6,2,1,5,2,3]=>[6,5,1,2,2,3]
[6,2,1,5,3,2]=>[6,4,1,2,3,2]
[6,2,2,1,3,5]=>[2,2,1,4,6,5]
[6,2,2,1,5,3]=>[2,2,1,5,6,4]
[6,2,2,3,1,5]=>[2,4,1,2,6,5]
[6,2,2,3,5,1]=>[2,5,1,2,6,4]
[6,2,2,5,1,3]=>[2,5,1,4,6,2]
[6,2,2,5,3,1]=>[2,4,1,5,6,2]
[6,2,3,1,2,5]=>[5,2,1,3,4,2]
[6,2,3,1,5,2]=>[6,4,1,5,2,2]
[6,2,3,2,1,5]=>[4,2,1,2,5,3]
[6,2,3,2,5,1]=>[3,4,1,2,6,2]
[6,2,3,5,1,2]=>[6,2,1,4,3,2]
[6,2,3,5,2,1]=>[6,2,1,5,2,3]
[6,2,5,1,2,3]=>[6,2,1,2,3,4]
[6,2,5,1,3,2]=>[4,3,1,2,5,2]
[6,2,5,2,1,3]=>[6,2,1,3,2,5]
[6,2,5,2,3,1]=>[6,3,1,2,2,5]
[6,2,5,3,1,2]=>[4,2,1,3,5,2]
[6,2,5,3,2,1]=>[5,2,1,2,4,3]
[6,3,1,2,2,5]=>[4,3,2,1,5,3]
[6,3,1,2,5,2]=>[5,4,3,1,4,2]
[6,3,1,5,2,2]=>[6,5,2,1,3,3]
[6,3,2,1,2,5]=>[4,2,3,1,6,4]
[6,3,2,1,5,2]=>[5,2,4,1,5,3]
[6,3,2,2,1,5]=>[3,3,2,1,6,5]
[6,3,2,2,5,1]=>[3,5,2,1,6,3]
[6,3,2,5,1,2]=>[4,4,3,1,6,2]
[6,3,2,5,2,1]=>[5,3,4,1,5,2]
[6,3,5,1,2,2]=>[6,2,3,1,4,4]
[6,3,5,2,1,2]=>[5,3,2,1,4,3]
[6,3,5,2,2,1]=>[6,3,2,1,3,4]
[6,5,1,2,2,3]=>[5,4,3,2,4,1]
[6,5,1,2,3,2]=>[4,3,2,3,5,1]
[6,5,1,3,2,2]=>[6,4,2,3,3,1]
[6,5,2,1,2,3]=>[4,4,3,2,6,1]
[6,5,2,1,3,2]=>[3,5,2,3,6,1]
[6,5,2,2,1,3]=>[5,3,4,2,5,1]
[6,5,2,2,3,1]=>[5,2,4,3,5,1]
[6,5,2,3,1,2]=>[3,3,2,5,6,1]
[6,5,2,3,2,1]=>[4,2,3,4,6,1]
[6,5,3,1,2,2]=>[6,3,2,4,3,1]
[6,5,3,2,1,2]=>[5,3,2,3,4,1]
[6,5,3,2,2,1]=>[5,2,3,4,4,1]
[1,2,2,4,4,4]=>[1,2,2,4,4,4]
[1,2,4,2,4,4]=>[1,3,2,2,3,3]
[1,2,4,4,2,4]=>[1,3,2,3,2,3]
[1,2,4,4,4,2]=>[1,3,2,3,3,2]
[1,4,2,2,4,4]=>[2,3,1,3,2,2]
[1,4,2,4,2,4]=>[2,3,1,2,3,2]
[1,4,2,4,4,2]=>[2,3,1,2,2,3]
[1,4,4,2,2,4]=>[2,2,1,3,3,2]
[1,4,4,2,4,2]=>[2,2,1,3,2,3]
[1,4,4,4,2,2]=>[2,2,1,2,3,3]
[2,1,2,4,4,4]=>[6,1,1,2,2,2]
[2,1,4,2,4,4]=>[6,1,2,1,2,2]
[2,1,4,4,2,4]=>[6,1,2,2,1,2]
[2,1,4,4,4,2]=>[3,1,2,2,2,1]
[2,2,1,4,4,4]=>[1,3,4,4,4,1]
[2,2,4,1,4,4]=>[1,1,6,3,3,3]
[2,2,4,4,1,4]=>[1,1,3,6,3,3]
[2,2,4,4,4,1]=>[1,1,3,3,6,3]
[2,4,1,2,4,4]=>[2,1,6,1,2,2]
[2,4,1,4,2,4]=>[2,1,6,2,1,2]
[2,4,1,4,4,2]=>[2,1,3,2,2,1]
[2,4,2,1,4,4]=>[4,3,1,4,4,1]
[2,4,2,4,1,4]=>[2,1,1,6,2,2]
[2,4,2,4,4,1]=>[2,1,1,2,6,2]
[2,4,4,1,2,4]=>[2,1,2,6,1,2]
[2,4,4,1,4,2]=>[2,1,2,3,2,1]
[2,4,4,2,1,4]=>[4,3,4,1,4,1]
[2,4,4,2,4,1]=>[2,1,2,1,6,2]
[2,4,4,4,1,2]=>[4,3,4,4,1,1]
[2,4,4,4,2,1]=>[2,1,2,2,3,1]
[4,1,2,2,4,4]=>[2,3,3,1,1,1]
[4,1,2,4,2,4]=>[6,3,1,3,1,1]
[4,1,2,4,4,2]=>[3,4,1,1,1,4]
[4,1,4,2,2,4]=>[6,1,3,3,1,1]
[4,1,4,2,4,2]=>[3,1,4,1,1,4]
[4,1,4,4,2,2]=>[5,1,1,4,1,4]
[4,2,1,2,4,4]=>[3,2,3,1,1,1]
[4,2,1,4,2,4]=>[3,6,1,3,1,1]
[4,2,1,4,4,2]=>[4,3,1,1,1,4]
[4,2,2,1,4,4]=>[3,3,2,1,1,1]
[4,2,2,4,1,4]=>[5,5,1,1,3,1]
[4,2,2,4,4,1]=>[4,4,1,1,1,3]
[4,2,4,1,2,4]=>[3,1,6,3,1,1]
[4,2,4,1,4,2]=>[4,1,3,1,1,4]
[4,2,4,2,1,4]=>[5,1,5,1,3,1]
[4,2,4,2,4,1]=>[4,1,4,1,1,3]
[4,2,4,4,1,2]=>[5,1,1,1,4,5]
[4,2,4,4,2,1]=>[4,1,1,4,1,6]
[4,4,1,2,2,4]=>[1,6,3,3,1,1]
[4,4,1,2,4,2]=>[1,3,4,1,1,4]
[4,4,1,4,2,2]=>[1,5,1,4,1,4]
[4,4,2,1,2,4]=>[1,3,6,3,1,1]
[4,4,2,1,4,2]=>[1,4,3,1,1,4]
[4,4,2,2,1,4]=>[1,5,5,1,3,1]
[4,4,2,2,4,1]=>[1,4,4,1,1,3]
[4,4,2,4,1,2]=>[1,5,1,1,4,5]
[4,4,2,4,2,1]=>[1,4,1,4,1,6]
[4,4,4,1,2,2]=>[1,1,5,1,4,5]
[4,4,4,2,1,2]=>[1,1,5,4,1,4]
[4,4,4,2,2,1]=>[1,1,4,4,1,6]
[1,2,2,4,4,5]=>[1,2,2,4,4,5]
[1,2,2,4,5,4]=>[1,2,2,4,5,4]
[1,2,2,5,4,4]=>[1,2,4,2,5,5]
[1,2,4,2,4,5]=>[1,3,2,3,2,6]
[1,2,4,2,5,4]=>[1,5,3,2,2,5]
[1,2,4,4,2,5]=>[1,3,2,2,3,4]
[1,2,4,4,5,2]=>[1,5,3,2,5,2]
[1,2,4,5,2,4]=>[1,3,2,2,4,3]
[1,2,4,5,4,2]=>[1,3,2,3,6,2]
[1,2,5,2,4,4]=>[1,4,2,2,3,3]
[1,2,5,4,2,4]=>[1,5,2,3,2,3]
[1,2,5,4,4,2]=>[1,5,2,3,3,2]
[1,4,2,2,4,5]=>[2,3,1,2,3,4]
[1,4,2,2,5,4]=>[3,5,1,2,5,2]
[1,4,2,4,2,5]=>[2,3,1,3,2,6]
[1,4,2,4,5,2]=>[3,5,1,2,2,5]
[1,4,2,5,2,4]=>[2,3,1,3,6,2]
[1,4,2,5,4,2]=>[2,3,1,2,4,3]
[1,4,4,2,2,5]=>[2,2,1,3,3,5]
[1,4,4,2,5,2]=>[2,2,1,3,5,3]
[1,4,4,5,2,2]=>[4,2,1,2,5,5]
[1,4,5,2,2,4]=>[2,5,1,3,3,2]
[1,4,5,2,4,2]=>[2,5,1,3,2,3]
[1,4,5,4,2,2]=>[2,4,1,2,3,3]
[1,5,2,2,4,4]=>[2,3,3,1,5,5]
[1,5,2,4,2,4]=>[3,4,2,1,4,3]
[1,5,2,4,4,2]=>[3,4,2,1,3,4]
[1,5,4,2,2,4]=>[2,4,3,1,3,4]
[1,5,4,2,4,2]=>[2,4,3,1,4,3]
[1,5,4,4,2,2]=>[3,3,2,1,4,4]
[2,1,2,4,4,5]=>[6,1,2,1,2,4]
[2,1,2,4,5,4]=>[5,1,2,1,4,2]
[2,1,2,5,4,4]=>[6,2,1,1,4,4]
[2,1,4,2,4,5]=>[6,1,2,2,1,4]
[2,1,4,2,5,4]=>[6,2,1,4,1,4]
[2,1,4,4,2,5]=>[6,1,1,2,2,3]
[2,1,4,4,5,2]=>[3,2,1,4,4,1]
[2,1,4,5,2,4]=>[5,1,1,2,3,2]
[2,1,4,5,4,2]=>[3,1,2,2,4,1]
[2,1,5,2,4,4]=>[5,1,1,3,2,2]
[2,1,5,4,2,4]=>[5,1,2,4,1,2]
[2,1,5,4,4,2]=>[3,1,2,4,2,1]
[2,2,1,4,4,5]=>[1,4,3,5,5,1]
[2,2,1,4,5,4]=>[1,3,4,4,5,1]
[2,2,1,5,4,4]=>[1,3,4,5,4,1]
[2,2,4,1,4,5]=>[1,1,3,6,3,4]
[2,2,4,1,5,4]=>[1,1,3,5,4,3]
[2,2,4,4,1,5]=>[1,1,5,3,6,3]
[2,2,4,4,5,1]=>[1,1,3,3,6,4]
[2,2,4,5,1,4]=>[1,1,5,6,3,3]
[2,2,4,5,4,1]=>[1,1,3,4,5,3]
[2,2,5,1,4,4]=>[1,4,1,5,5,3]
[2,2,5,4,1,4]=>[1,3,1,6,4,4]
[2,2,5,4,4,1]=>[1,3,1,4,6,4]
[2,4,1,2,4,5]=>[2,1,2,6,1,5]
[2,4,1,2,5,4]=>[4,2,1,6,1,4]
[2,4,1,4,2,5]=>[2,1,1,6,2,3]
[2,4,1,4,5,2]=>[4,2,1,3,4,1]
[2,4,1,5,2,4]=>[2,1,1,5,3,2]
[2,4,1,5,4,2]=>[2,1,2,3,5,1]
[2,4,2,1,4,5]=>[5,4,3,1,5,1]
[2,4,2,1,5,4]=>[4,3,4,1,6,1]
[2,4,2,4,1,5]=>[2,1,5,1,6,2]
[2,4,2,4,5,1]=>[2,1,2,1,6,5]
[2,4,2,5,1,4]=>[5,4,1,1,5,2]
[2,4,2,5,4,1]=>[4,2,1,1,6,4]
[2,4,4,1,2,5]=>[5,4,1,5,1,2]
[2,4,4,1,5,2]=>[5,3,1,5,2,1]
[2,4,4,2,1,5]=>[2,1,3,2,6,1]
[2,4,4,2,5,1]=>[2,1,1,2,6,3]
[2,4,4,5,1,2]=>[5,4,3,5,1,1]
[2,4,4,5,2,1]=>[4,2,1,4,3,1]
[2,4,5,1,2,4]=>[2,1,5,6,1,2]
[2,4,5,1,4,2]=>[2,1,3,6,2,1]
[2,4,5,2,1,4]=>[5,3,1,2,5,1]
[2,4,5,2,4,1]=>[2,1,1,3,5,2]
[2,4,5,4,1,2]=>[4,3,4,6,1,1]
[2,4,5,4,2,1]=>[2,1,2,5,3,1]
[2,5,1,2,4,4]=>[6,1,5,1,2,2]
[2,5,1,4,2,4]=>[6,1,5,2,1,2]
[2,5,1,4,4,2]=>[6,1,3,2,2,1]
[2,5,2,1,4,4]=>[2,3,1,5,5,1]
[2,5,2,4,1,4]=>[3,1,1,5,2,2]
[2,5,2,4,4,1]=>[3,1,1,2,5,2]
[2,5,4,1,2,4]=>[4,1,2,5,1,2]
[2,5,4,1,4,2]=>[4,1,2,3,2,1]
[2,5,4,2,1,4]=>[5,3,4,1,4,1]
[2,5,4,2,4,1]=>[4,1,2,1,5,2]
[2,5,4,4,1,2]=>[5,3,4,4,1,1]
[2,5,4,4,2,1]=>[4,1,2,2,3,1]
[4,1,2,2,4,5]=>[1,6,3,3,1,2]
[4,1,2,2,5,4]=>[1,6,4,4,2,1]
[4,1,2,4,2,5]=>[3,2,3,1,1,5]
[4,1,2,4,5,2]=>[1,3,4,1,2,4]
[4,1,2,5,2,4]=>[2,6,2,4,1,1]
[4,1,2,5,4,2]=>[1,4,3,2,1,3]
[4,1,4,2,2,5]=>[3,5,1,3,1,4]
[4,1,4,2,5,2]=>[3,6,1,4,1,3]
[4,1,4,5,2,2]=>[1,5,1,4,2,4]
[4,1,5,2,2,4]=>[2,5,4,2,1,1]
[4,1,5,2,4,2]=>[3,2,5,1,1,3]
[4,1,5,4,2,2]=>[1,5,2,3,1,3]
[4,2,1,2,4,5]=>[1,3,6,3,1,2]
[4,2,1,2,5,4]=>[1,4,6,4,2,1]
[4,2,1,4,2,5]=>[3,3,2,1,1,5]
[4,2,1,4,5,2]=>[1,4,3,1,2,4]
[4,2,1,5,2,4]=>[2,2,6,4,1,1]
[4,2,1,5,4,2]=>[1,3,4,2,1,3]
[4,2,2,1,4,5]=>[1,5,5,1,3,2]
[4,2,2,1,5,4]=>[1,5,5,2,4,1]
[4,2,2,4,1,5]=>[2,3,3,1,1,4]
[4,2,2,4,5,1]=>[1,3,3,2,1,4]
[4,2,2,5,1,4]=>[2,5,5,1,4,1]
[4,2,2,5,4,1]=>[1,4,4,1,2,3]
[4,2,4,1,2,5]=>[4,4,1,1,3,5]
[4,2,4,1,5,2]=>[3,5,1,1,4,5]
[4,2,4,2,1,5]=>[5,3,1,3,1,6]
[4,2,4,2,5,1]=>[3,3,1,4,1,6]
[4,2,4,5,1,2]=>[1,5,1,2,4,5]
[4,2,4,5,2,1]=>[1,4,1,4,2,6]
[4,2,5,1,2,4]=>[5,2,6,2,1,1]
[4,2,5,1,4,2]=>[2,3,4,1,1,3]
[4,2,5,2,1,4]=>[4,4,5,1,2,1]
[4,2,5,2,4,1]=>[3,3,5,1,1,2]
[4,2,5,4,1,2]=>[1,5,2,1,3,5]
[4,2,5,4,2,1]=>[1,3,2,3,1,6]
[4,4,1,2,2,5]=>[4,1,4,1,3,5]
[4,4,1,2,5,2]=>[3,1,5,1,4,5]
[4,4,1,5,2,2]=>[4,1,5,1,3,4]
[4,4,2,1,2,5]=>[3,1,5,3,1,4]
[4,4,2,1,5,2]=>[3,1,6,4,1,3]
[4,4,2,2,1,5]=>[5,1,3,3,1,6]
[4,4,2,2,5,1]=>[3,1,3,4,1,6]
[4,4,2,5,1,2]=>[4,1,6,3,1,3]
[4,4,2,5,2,1]=>[3,1,4,3,1,5]
[4,4,5,1,2,2]=>[1,1,5,2,4,5]
[4,4,5,2,1,2]=>[1,1,5,4,2,4]
[4,4,5,2,2,1]=>[1,1,4,4,2,6]
[4,5,1,2,2,4]=>[5,6,2,2,1,1]
[4,5,1,2,4,2]=>[2,4,3,1,1,3]
[4,5,1,4,2,2]=>[4,6,1,3,1,3]
[4,5,2,1,2,4]=>[2,4,5,2,1,1]
[4,5,2,1,4,2]=>[3,5,2,1,1,3]
[4,5,2,2,1,4]=>[4,5,4,1,2,1]
[4,5,2,2,4,1]=>[3,5,3,1,1,2]
[4,5,2,4,1,2]=>[4,5,1,1,3,4]
[4,5,2,4,2,1]=>[3,4,1,3,1,5]
[4,5,4,1,2,2]=>[1,2,5,1,3,5]
[4,5,4,2,1,2]=>[1,2,5,3,1,3]
[4,5,4,2,2,1]=>[1,2,3,3,1,6]
[5,1,2,2,4,4]=>[4,4,1,3,3,2]
[5,1,2,4,2,4]=>[3,5,1,2,5,3]
[5,1,2,4,4,2]=>[5,3,1,3,5,2]
[5,1,4,2,2,4]=>[5,3,1,2,5,3]
[5,1,4,2,4,2]=>[3,5,1,3,5,2]
[5,1,4,4,2,2]=>[5,5,1,2,3,3]
[5,2,1,2,4,4]=>[5,2,4,1,4,2]
[5,2,1,4,2,4]=>[3,4,2,1,4,2]
[5,2,1,4,4,2]=>[6,4,4,1,2,2]
[5,2,2,1,4,4]=>[2,5,4,1,4,2]
[5,2,2,4,1,4]=>[2,5,2,1,5,4]
[5,2,2,4,4,1]=>[2,4,4,1,6,2]
[5,2,4,1,2,4]=>[4,3,2,1,4,2]
[5,2,4,1,4,2]=>[4,6,4,1,2,2]
[5,2,4,2,1,4]=>[5,2,2,1,5,4]
[5,2,4,2,4,1]=>[4,2,4,1,6,2]
[5,2,4,4,1,2]=>[4,4,2,1,3,2]
[5,2,4,4,2,1]=>[5,5,2,1,2,3]
[5,4,1,2,2,4]=>[6,3,3,2,2,1]
[5,4,1,2,4,2]=>[3,4,2,2,4,1]
[5,4,1,4,2,2]=>[5,2,4,2,4,1]
[5,4,2,1,2,4]=>[3,6,3,2,2,1]
[5,4,2,1,4,2]=>[4,3,2,2,4,1]
[5,4,2,2,1,4]=>[5,5,2,3,2,1]
[5,4,2,2,4,1]=>[4,4,2,2,3,1]
[5,4,2,4,1,2]=>[4,2,4,2,6,1]
[5,4,2,4,2,1]=>[5,2,2,4,5,1]
[5,4,4,1,2,2]=>[2,5,4,2,4,1]
[5,4,4,2,1,2]=>[2,4,4,2,6,1]
[5,4,4,2,2,1]=>[2,5,2,4,5,1]
[1,2,2,4,4,6]=>[1,2,2,4,4,6]
[1,2,2,4,6,4]=>[1,2,2,5,4,4]
[1,2,2,6,4,4]=>[1,2,4,5,2,5]
[1,2,4,2,4,6]=>[1,3,2,2,3,6]
[1,2,4,2,6,4]=>[1,5,4,2,2,5]
[1,2,4,4,2,6]=>[1,3,2,3,2,4]
[1,2,4,4,6,2]=>[1,5,3,5,2,2]
[1,2,4,6,2,4]=>[1,3,2,4,2,3]
[1,2,4,6,4,2]=>[1,3,2,6,3,2]
[1,2,6,2,4,4]=>[1,5,2,2,3,3]
[1,2,6,4,2,4]=>[1,4,2,3,2,3]
[1,2,6,4,4,2]=>[1,6,2,3,3,2]
[1,4,2,2,4,6]=>[2,3,1,3,2,4]
[1,4,2,2,6,4]=>[3,5,1,5,2,2]
[1,4,2,4,2,6]=>[2,3,1,2,3,6]
[1,4,2,4,6,2]=>[4,5,1,2,2,5]
[1,4,2,6,2,4]=>[2,3,1,6,3,2]
[1,4,2,6,4,2]=>[2,3,1,4,2,3]
[1,4,4,2,2,6]=>[2,2,1,3,3,6]
[1,4,4,2,6,2]=>[2,2,1,5,3,3]
[1,4,4,6,2,2]=>[4,2,1,5,2,5]
[1,4,6,2,2,4]=>[2,6,1,3,3,2]
[1,4,6,2,4,2]=>[2,4,1,3,2,3]
[1,4,6,4,2,2]=>[2,5,1,2,3,3]
[1,6,2,2,4,4]=>[3,4,2,4,1,3]
[1,6,2,4,2,4]=>[2,3,3,5,1,5]
[1,6,2,4,4,2]=>[3,4,2,3,1,4]
[1,6,4,2,2,4]=>[2,4,3,3,1,4]
[1,6,4,2,4,2]=>[3,3,2,4,1,4]
[1,6,4,4,2,2]=>[2,4,3,4,1,3]
[2,1,2,4,4,6]=>[6,1,1,2,2,4]
[2,1,2,4,6,4]=>[5,1,1,2,4,2]
[2,1,2,6,4,4]=>[6,3,1,1,4,4]
[2,1,4,2,4,6]=>[6,1,2,2,1,5]
[2,1,4,2,6,4]=>[6,2,4,1,1,4]
[2,1,4,4,2,6]=>[6,1,2,1,2,3]
[2,1,4,4,6,2]=>[3,2,4,1,4,1]
[2,1,4,6,2,4]=>[5,1,2,1,3,2]
[2,1,4,6,4,2]=>[3,1,2,2,5,1]
[2,1,6,2,4,4]=>[5,1,3,1,2,2]
[2,1,6,4,2,4]=>[5,1,4,2,1,2]
[2,1,6,4,4,2]=>[3,1,4,2,2,1]
[2,2,1,4,4,6]=>[1,4,5,3,5,1]
[2,2,1,4,6,4]=>[1,3,4,4,6,1]
[2,2,1,6,4,4]=>[1,3,5,4,4,1]
[2,2,4,1,4,6]=>[1,1,6,3,3,4]
[2,2,4,1,6,4]=>[1,1,5,3,4,3]
[2,2,4,4,1,6]=>[1,1,3,5,6,3]
[2,2,4,4,6,1]=>[1,1,3,3,6,5]
[2,2,4,6,1,4]=>[1,1,6,5,3,3]
[2,2,4,6,4,1]=>[1,1,4,3,5,3]
[2,2,6,1,4,4]=>[1,3,6,1,4,4]
[2,2,6,4,1,4]=>[1,4,5,1,5,3]
[2,2,6,4,4,1]=>[1,3,4,1,6,4]
[2,4,1,2,4,6]=>[2,1,6,2,1,5]
[2,4,1,2,6,4]=>[4,2,6,1,1,4]
[2,4,1,4,2,6]=>[2,1,6,1,2,3]
[2,4,1,4,6,2]=>[4,2,3,1,4,1]
[2,4,1,6,2,4]=>[2,1,5,1,3,2]
[2,4,1,6,4,2]=>[2,1,3,2,5,1]
[2,4,2,1,4,6]=>[5,4,1,3,5,1]
[2,4,2,1,6,4]=>[4,3,1,4,6,1]
[2,4,2,4,1,6]=>[2,1,1,5,6,2]
[2,4,2,4,6,1]=>[2,1,1,2,6,5]
[2,4,2,6,1,4]=>[5,4,1,1,5,3]
[2,4,2,6,4,1]=>[4,3,1,1,6,4]
[2,4,4,1,2,6]=>[5,4,5,1,1,2]
[2,4,4,1,6,2]=>[5,3,5,1,2,1]
[2,4,4,2,1,6]=>[2,1,2,3,6,1]
[2,4,4,2,6,1]=>[2,1,2,1,6,3]
[2,4,4,6,1,2]=>[5,4,5,3,1,1]
[2,4,4,6,2,1]=>[4,2,4,1,3,1]
[2,4,6,1,2,4]=>[2,1,6,5,1,2]
[2,4,6,1,4,2]=>[2,1,6,3,2,1]
[2,4,6,2,1,4]=>[5,3,2,1,5,1]
[2,4,6,2,4,1]=>[2,1,3,1,5,2]
[2,4,6,4,1,2]=>[4,3,6,4,1,1]
[2,4,6,4,2,1]=>[2,1,5,2,3,1]
[2,6,1,2,4,4]=>[3,1,5,1,2,2]
[2,6,1,4,2,4]=>[4,1,5,2,1,2]
[2,6,1,4,4,2]=>[4,1,3,2,2,1]
[2,6,2,1,4,4]=>[5,3,1,4,4,1]
[2,6,2,4,1,4]=>[6,1,1,5,2,2]
[2,6,2,4,4,1]=>[4,1,1,2,5,2]
[2,6,4,1,2,4]=>[6,1,2,5,1,2]
[2,6,4,1,4,2]=>[6,1,2,3,2,1]
[2,6,4,2,1,4]=>[2,3,5,1,5,1]
[2,6,4,2,4,1]=>[3,1,2,1,5,2]
[2,6,4,4,1,2]=>[6,3,4,4,1,1]
[2,6,4,4,2,1]=>[5,1,2,2,3,1]
[4,1,2,2,4,6]=>[6,1,3,3,1,2]
[4,1,2,2,6,4]=>[6,1,4,4,2,1]
[4,1,2,4,2,6]=>[2,3,3,1,1,5]
[4,1,2,4,6,2]=>[3,1,4,1,2,4]
[4,1,2,6,2,4]=>[6,2,2,4,1,1]
[4,1,2,6,4,2]=>[4,1,3,2,1,3]
[4,1,4,2,2,6]=>[5,3,1,3,1,4]
[4,1,4,2,6,2]=>[6,3,1,4,1,3]
[4,1,4,6,2,2]=>[5,1,1,4,2,4]
[4,1,6,2,2,4]=>[5,2,4,2,1,1]
[4,1,6,2,4,2]=>[2,3,5,1,1,3]
[4,1,6,4,2,2]=>[5,1,2,3,1,3]
[4,2,1,2,4,6]=>[3,1,6,3,1,2]
[4,2,1,2,6,4]=>[4,1,6,4,2,1]
[4,2,1,4,2,6]=>[3,3,2,1,1,6]
[4,2,1,4,6,2]=>[4,1,3,1,2,4]
[4,2,1,6,2,4]=>[2,2,6,5,1,1]
[4,2,1,6,4,2]=>[3,1,4,2,1,3]
[4,2,2,1,4,6]=>[5,1,5,1,3,2]
[4,2,2,1,6,4]=>[5,1,5,2,4,1]
[4,2,2,4,1,6]=>[3,2,3,1,1,4]
[4,2,2,4,6,1]=>[3,1,3,2,1,4]
[4,2,2,6,1,4]=>[5,2,5,1,4,1]
[4,2,2,6,4,1]=>[4,1,4,1,2,3]
[4,2,4,1,2,6]=>[4,4,1,1,3,6]
[4,2,4,1,6,2]=>[5,3,1,1,4,5]
[4,2,4,2,1,6]=>[3,5,1,3,1,6]
[4,2,4,2,6,1]=>[3,3,1,5,1,6]
[4,2,4,6,1,2]=>[5,1,1,2,4,5]
[4,2,4,6,2,1]=>[4,1,1,4,2,6]
[4,2,6,1,2,4]=>[2,5,6,2,1,1]
[4,2,6,1,4,2]=>[3,2,4,1,1,3]
[4,2,6,2,1,4]=>[4,4,6,1,2,1]
[4,2,6,2,4,1]=>[3,3,6,1,1,2]
[4,2,6,4,1,2]=>[5,1,2,1,3,5]
[4,2,6,4,2,1]=>[3,1,2,3,1,6]
[4,4,1,2,2,6]=>[1,4,4,1,3,5]
[4,4,1,2,6,2]=>[1,3,5,1,4,5]
[4,4,1,6,2,2]=>[1,4,5,1,3,4]
[4,4,2,1,2,6]=>[1,3,5,3,1,4]
[4,4,2,1,6,2]=>[1,3,6,4,1,3]
[4,4,2,2,1,6]=>[1,5,3,3,1,6]
[4,4,2,2,6,1]=>[1,3,3,4,1,6]
[4,4,2,6,1,2]=>[1,4,6,3,1,3]
[4,4,2,6,2,1]=>[1,3,4,3,1,5]
[4,4,6,1,2,2]=>[1,1,5,3,4,5]
[4,4,6,2,1,2]=>[1,1,5,4,3,4]
[4,4,6,2,2,1]=>[1,1,4,4,3,6]
[4,6,1,2,2,4]=>[6,5,2,2,1,1]
[4,6,1,2,4,2]=>[4,2,3,1,1,3]
[4,6,1,4,2,2]=>[6,4,1,3,1,3]
[4,6,2,1,2,4]=>[4,2,5,2,1,1]
[4,6,2,1,4,2]=>[5,3,2,1,1,3]
[4,6,2,2,1,4]=>[5,4,4,1,2,1]
[4,6,2,2,4,1]=>[5,3,3,1,1,2]
[4,6,2,4,1,2]=>[5,4,1,1,3,4]
[4,6,2,4,2,1]=>[4,3,1,3,1,5]
[4,6,4,1,2,2]=>[2,1,5,1,3,5]
[4,6,4,2,1,2]=>[2,1,5,3,1,3]
[4,6,4,2,2,1]=>[2,1,3,3,1,6]
[6,1,2,2,4,4]=>[3,1,2,5,3,5]
[6,1,2,4,2,4]=>[4,1,3,4,2,3]
[6,1,2,4,4,2]=>[4,1,3,3,2,4]
[6,1,4,2,2,4]=>[5,1,2,3,3,5]
[6,1,4,2,4,2]=>[4,1,2,4,3,3]
[6,1,4,4,2,2]=>[3,1,3,5,2,5]
[6,2,1,2,4,4]=>[3,2,1,4,2,4]
[6,2,1,4,2,4]=>[5,4,1,2,2,4]
[6,2,1,4,4,2]=>[5,3,1,3,2,2]
[6,2,2,1,4,4]=>[2,2,1,5,4,5]
[6,2,2,4,1,4]=>[2,4,1,5,2,4]
[6,2,2,4,4,1]=>[2,4,1,4,2,5]
[6,2,4,1,2,4]=>[4,2,1,3,2,4]
[6,2,4,1,4,2]=>[3,3,1,6,2,2]
[6,2,4,2,1,4]=>[5,2,1,2,3,5]
[6,2,4,2,4,1]=>[4,4,1,2,2,6]
[6,2,4,4,1,2]=>[5,2,1,5,3,2]
[6,2,4,4,2,1]=>[4,2,1,4,2,3]
[6,4,1,2,2,4]=>[5,3,2,3,1,2]
[6,4,1,2,4,2]=>[5,3,2,2,1,3]
[6,4,1,4,2,2]=>[3,2,2,4,1,4]
[6,4,2,1,2,4]=>[3,3,2,6,1,2]
[6,4,2,1,4,2]=>[4,2,2,3,1,4]
[6,4,2,2,1,4]=>[5,2,3,5,1,2]
[6,4,2,2,4,1]=>[4,2,2,4,1,3]
[6,4,2,4,1,2]=>[5,2,3,2,1,5]
[6,4,2,4,2,1]=>[3,3,2,2,1,6]
[6,4,4,1,2,2]=>[2,4,2,5,1,4]
[6,4,4,2,1,2]=>[2,2,4,5,1,5]
[6,4,4,2,2,1]=>[2,4,2,4,1,5]
[1,2,2,4,5,5]=>[1,2,2,4,5,5]
[1,2,2,5,4,5]=>[1,2,4,2,5,4]
[1,2,2,5,5,4]=>[1,2,4,2,4,5]
[1,2,4,2,5,5]=>[1,3,2,2,4,4]
[1,2,4,5,2,5]=>[1,5,3,2,2,3]
[1,2,4,5,5,2]=>[1,5,3,2,3,2]
[1,2,5,2,4,5]=>[1,5,2,3,2,5]
[1,2,5,2,5,4]=>[1,3,3,2,2,6]
[1,2,5,4,2,5]=>[1,4,2,2,3,4]
[1,2,5,4,5,2]=>[1,3,3,2,6,2]
[1,2,5,5,2,4]=>[1,4,2,2,4,3]
[1,2,5,5,4,2]=>[1,5,2,3,5,2]
[1,4,2,2,5,5]=>[2,3,1,3,5,5]
[1,4,2,5,2,5]=>[3,4,1,2,4,3]
[1,4,2,5,5,2]=>[3,4,1,2,3,4]
[1,4,5,2,2,5]=>[2,4,1,3,3,4]
[1,4,5,2,5,2]=>[2,4,1,3,4,3]
[1,4,5,5,2,2]=>[3,3,1,2,4,4]
[1,5,2,2,4,5]=>[3,5,2,1,5,2]
[1,5,2,2,5,4]=>[2,3,2,1,3,4]
[1,5,2,4,2,5]=>[2,3,3,1,6,2]
[1,5,2,4,5,2]=>[2,3,2,1,4,3]
[1,5,2,5,2,4]=>[2,3,3,1,2,6]
[1,5,2,5,4,2]=>[3,5,2,1,2,5]
[1,5,4,2,2,5]=>[2,5,3,1,3,2]
[1,5,4,2,5,2]=>[2,5,3,1,2,3]
[1,5,4,5,2,2]=>[2,4,2,1,3,3]
[1,5,5,2,2,4]=>[2,2,3,1,3,5]
[1,5,5,2,4,2]=>[2,2,3,1,5,3]
[1,5,5,4,2,2]=>[4,2,2,1,5,5]
[2,1,2,4,5,5]=>[6,1,2,1,4,4]
[2,1,2,5,4,5]=>[5,2,1,1,4,2]
[2,1,2,5,5,4]=>[6,2,1,1,2,4]
[2,1,4,2,5,5]=>[6,1,1,2,3,3]
[2,1,4,5,2,5]=>[5,2,1,4,1,2]
[2,1,4,5,5,2]=>[3,2,1,4,2,1]
[2,1,5,2,4,5]=>[6,1,2,4,1,4]
[2,1,5,2,5,4]=>[6,2,1,2,1,4]
[2,1,5,4,2,5]=>[6,1,1,3,2,3]
[2,1,5,4,5,2]=>[3,2,1,2,4,1]
[2,1,5,5,2,4]=>[4,1,1,3,3,2]
[2,1,5,5,4,2]=>[3,1,2,4,4,1]
[2,2,1,4,5,5]=>[1,4,3,5,4,1]
[2,2,1,5,4,5]=>[1,4,3,4,5,1]
[2,2,1,5,5,4]=>[1,3,4,5,5,1]
[2,2,4,1,5,5]=>[1,1,4,5,5,3]
[2,2,4,5,1,5]=>[1,1,3,6,4,4]
[2,2,4,5,5,1]=>[1,1,3,4,6,4]
[2,2,5,1,4,5]=>[1,3,1,5,4,3]
[2,2,5,1,5,4]=>[1,3,1,6,3,4]
[2,2,5,4,1,5]=>[1,5,1,6,3,3]
[2,2,5,4,5,1]=>[1,3,1,4,5,3]
[2,2,5,5,1,4]=>[1,5,1,3,6,3]
[2,2,5,5,4,1]=>[1,3,1,3,6,4]
[2,4,1,2,5,5]=>[6,5,1,1,2,2]
[2,4,1,5,2,5]=>[6,5,1,2,1,2]
[2,4,1,5,5,2]=>[6,3,1,2,2,1]
[2,4,2,1,5,5]=>[2,1,3,5,5,1]
[2,4,2,5,1,5]=>[2,1,1,6,3,3]
[2,4,2,5,5,1]=>[2,1,1,3,6,3]
[2,4,5,1,2,5]=>[4,2,1,5,1,2]
[2,4,5,1,5,2]=>[4,2,1,3,2,1]
[2,4,5,2,1,5]=>[5,4,3,1,4,1]
[2,4,5,2,5,1]=>[4,2,1,1,5,2]
[2,4,5,5,1,2]=>[5,4,3,4,1,1]
[2,4,5,5,2,1]=>[4,2,1,2,3,1]
[2,5,1,2,4,5]=>[4,1,2,6,1,4]
[2,5,1,2,5,4]=>[2,2,1,6,1,5]
[2,5,1,4,2,5]=>[3,1,1,6,2,3]
[2,5,1,4,5,2]=>[2,2,1,3,5,1]
[2,5,1,5,2,4]=>[3,1,1,4,3,2]
[2,5,1,5,4,2]=>[4,1,2,3,4,1]
[2,5,2,1,4,5]=>[4,4,3,1,6,1]
[2,5,2,1,5,4]=>[5,3,4,1,5,1]
[2,5,2,4,1,5]=>[5,1,4,1,5,2]
[2,5,2,4,5,1]=>[4,1,2,1,6,4]
[2,5,2,5,1,4]=>[2,5,1,1,6,2]
[2,5,2,5,4,1]=>[2,2,1,1,6,5]
[2,5,4,1,2,5]=>[2,5,1,6,1,2]
[2,5,4,1,5,2]=>[2,3,1,6,2,1]
[2,5,4,2,1,5]=>[5,1,3,2,5,1]
[2,5,4,2,5,1]=>[3,1,1,2,6,3]
[2,5,4,5,1,2]=>[4,4,3,6,1,1]
[2,5,4,5,2,1]=>[2,2,1,5,3,1]
[2,5,5,1,2,4]=>[5,1,4,5,1,2]
[2,5,5,1,4,2]=>[5,1,3,5,2,1]
[2,5,5,2,1,4]=>[2,3,1,2,6,1]
[2,5,5,2,4,1]=>[3,1,1,3,4,2]
[2,5,5,4,1,2]=>[5,3,4,5,1,1]
[2,5,5,4,2,1]=>[4,1,2,4,3,1]
[4,1,2,2,5,5]=>[2,4,4,1,3,3]
[4,1,2,5,2,5]=>[3,3,4,1,2,4]
[4,1,2,5,5,2]=>[2,5,3,1,3,5]
[4,1,5,2,2,5]=>[3,4,3,1,2,4]
[4,1,5,2,5,2]=>[2,3,5,1,3,5]
[4,1,5,5,2,2]=>[3,4,4,1,2,3]
[4,2,1,2,5,5]=>[2,5,2,3,1,3]
[4,2,1,5,2,5]=>[2,4,3,2,1,3]
[4,2,1,5,5,2]=>[2,6,3,3,1,2]
[4,2,2,1,5,5]=>[2,2,5,3,1,3]
[4,2,2,5,1,5]=>[4,2,5,2,1,5]
[4,2,2,5,5,1]=>[2,2,3,3,1,6]
[4,2,5,1,2,5]=>[2,3,4,2,1,3]
[4,2,5,1,5,2]=>[2,3,6,3,1,2]
[4,2,5,2,1,5]=>[4,5,2,2,1,5]
[4,2,5,2,5,1]=>[2,3,2,3,1,6]
[4,2,5,5,1,2]=>[3,5,5,2,1,2]
[4,2,5,5,2,1]=>[2,3,3,2,1,4]
[4,5,1,2,2,5]=>[1,6,3,3,2,2]
[4,5,1,2,5,2]=>[1,3,4,2,2,4]
[4,5,1,5,2,2]=>[1,5,2,4,2,4]
[4,5,2,1,2,5]=>[1,3,6,3,2,2]
[4,5,2,1,5,2]=>[1,4,3,2,2,4]
[4,5,2,2,1,5]=>[1,5,5,2,3,2]
[4,5,2,2,5,1]=>[1,4,4,2,2,3]
[4,5,2,5,1,2]=>[1,5,2,2,4,5]
[4,5,2,5,2,1]=>[1,4,2,4,2,6]
[4,5,5,1,2,2]=>[1,2,5,2,4,5]
[4,5,5,2,1,2]=>[1,2,5,4,2,4]
[4,5,5,2,2,1]=>[1,2,4,4,2,6]
[5,1,2,2,4,5]=>[6,4,4,3,1,1]
[5,1,2,2,5,4]=>[5,2,2,1,3,1]
[5,1,2,4,2,5]=>[6,2,3,1,2,1]
[5,1,2,4,5,2]=>[6,2,5,1,1,2]
[5,1,2,5,2,4]=>[2,3,1,1,6,3]
[5,1,2,5,4,2]=>[2,5,1,3,5,1]
[5,1,4,2,2,5]=>[4,3,2,1,2,1]
[5,1,4,2,5,2]=>[4,5,2,1,1,2]
[5,1,4,5,2,2]=>[2,6,1,1,3,3]
[5,1,5,2,2,4]=>[4,1,3,1,5,3]
[5,1,5,2,4,2]=>[6,1,5,1,3,3]
[5,1,5,4,2,2]=>[5,1,4,3,4,1]
[5,2,1,2,4,5]=>[4,6,4,3,1,1]
[5,2,1,2,5,4]=>[2,5,2,1,3,1]
[5,2,1,4,2,5]=>[2,6,3,1,2,1]
[5,2,1,4,5,2]=>[2,6,5,1,1,2]
[5,2,1,5,2,4]=>[3,2,1,1,6,3]
[5,2,1,5,4,2]=>[5,2,1,3,5,1]
[5,2,2,1,4,5]=>[5,5,3,4,1,1]
[5,2,2,1,5,4]=>[4,4,1,2,3,1]
[5,2,2,4,1,5]=>[5,5,1,3,2,1]
[5,2,2,4,5,1]=>[5,5,1,4,1,2]
[5,2,2,5,1,4]=>[3,3,1,1,4,2]
[5,2,2,5,4,1]=>[2,2,3,1,6,1]
[5,2,4,1,2,5]=>[2,3,2,1,5,1]
[5,2,4,1,5,2]=>[3,6,1,1,2,3]
[5,2,4,2,1,5]=>[4,3,1,2,4,1]
[5,2,4,2,5,1]=>[3,4,1,1,3,2]
[5,2,4,5,1,2]=>[4,6,1,2,1,4]
[5,2,4,5,2,1]=>[2,6,2,1,1,5]
[5,2,5,1,2,4]=>[4,1,1,3,6,4]
[5,2,5,1,4,2]=>[5,1,1,4,5,3]
[5,2,5,2,1,4]=>[3,1,3,1,6,5]
[5,2,5,2,4,1]=>[3,1,5,1,6,3]
[5,2,5,4,1,2]=>[4,1,4,3,6,1]
[5,2,5,4,2,1]=>[5,1,3,4,5,1]
[5,4,1,2,2,5]=>[3,4,2,1,2,1]
[5,4,1,2,5,2]=>[5,4,2,1,1,2]
[5,4,1,5,2,2]=>[6,2,1,1,3,3]
[5,4,2,1,2,5]=>[3,2,2,1,5,1]
[5,4,2,1,5,2]=>[6,3,1,1,2,3]
[5,4,2,2,1,5]=>[3,4,1,2,4,1]
[5,4,2,2,5,1]=>[4,3,1,1,3,2]
[5,4,2,5,1,2]=>[6,4,1,2,1,4]
[5,4,2,5,2,1]=>[6,2,2,1,1,5]
[5,4,5,1,2,2]=>[6,1,1,3,4,4]
[5,4,5,2,1,2]=>[5,1,3,1,4,3]
[5,4,5,2,2,1]=>[6,1,3,1,3,4]
[5,5,1,2,2,4]=>[1,4,1,3,6,4]
[5,5,1,2,4,2]=>[1,5,1,4,5,3]
[5,5,1,4,2,2]=>[1,6,1,3,4,4]
[5,5,2,1,2,4]=>[1,4,3,1,5,3]
[5,5,2,1,4,2]=>[1,6,5,1,3,3]
[5,5,2,2,1,4]=>[1,3,3,1,6,5]
[5,5,2,2,4,1]=>[1,3,5,1,6,3]
[5,5,2,4,1,2]=>[1,5,3,1,4,3]
[5,5,2,4,2,1]=>[1,6,3,1,3,4]
[5,5,4,1,2,2]=>[1,5,4,3,4,1]
[5,5,4,2,1,2]=>[1,4,4,3,6,1]
[5,5,4,2,2,1]=>[1,5,3,4,5,1]
[1,2,2,4,5,6]=>[1,2,2,4,5,6]
[1,2,2,4,6,5]=>[1,2,2,5,4,6]
[1,2,2,5,4,6]=>[1,2,4,2,5,6]
[1,2,2,5,6,4]=>[1,2,5,2,4,6]
[1,2,2,6,4,5]=>[1,2,4,5,2,6]
[1,2,2,6,5,4]=>[1,2,5,4,2,6]
[1,2,4,2,5,6]=>[1,3,2,2,4,6]
[1,2,4,2,6,5]=>[1,3,2,4,2,6]
[1,2,4,5,2,6]=>[1,5,3,2,2,4]
[1,2,4,5,6,2]=>[1,6,5,3,2,2]
[1,2,4,6,2,5]=>[1,6,4,2,2,3]
[1,2,4,6,5,2]=>[1,6,5,2,3,2]
[1,2,5,2,4,6]=>[1,4,2,2,3,5]
[1,2,5,2,6,4]=>[1,3,4,2,2,6]
[1,2,5,4,2,6]=>[1,5,2,3,2,4]
[1,2,5,4,6,2]=>[1,6,3,5,2,2]
[1,2,5,6,2,4]=>[1,6,2,4,2,3]
[1,2,5,6,4,2]=>[1,6,2,5,3,2]
[1,2,6,2,4,5]=>[1,4,2,3,2,5]
[1,2,6,2,5,4]=>[1,4,3,2,2,5]
[1,2,6,4,2,5]=>[1,5,2,2,3,4]
[1,2,6,4,5,2]=>[1,6,3,2,5,2]
[1,2,6,5,2,4]=>[1,6,2,2,4,3]
[1,2,6,5,4,2]=>[1,6,2,3,5,2]
[1,4,2,2,5,6]=>[2,3,1,3,5,6]
[1,4,2,2,6,5]=>[2,3,1,5,3,6]
[1,4,2,5,2,6]=>[3,4,1,2,4,6]
[1,4,2,5,6,2]=>[4,5,1,2,3,5]
[1,4,2,6,2,5]=>[3,4,1,4,2,6]
[1,4,2,6,5,2]=>[4,5,1,3,2,5]
[1,4,5,2,2,6]=>[2,4,1,3,3,5]
[1,4,5,2,6,2]=>[2,6,1,4,3,3]
[1,4,5,6,2,2]=>[3,5,1,4,2,4]
[1,4,6,2,2,5]=>[2,5,1,3,3,4]
[1,4,6,2,5,2]=>[2,6,1,3,4,3]
[1,4,6,5,2,2]=>[3,5,1,2,4,4]
[1,5,2,2,4,6]=>[2,3,3,1,5,6]
[1,5,2,2,6,4]=>[2,3,5,1,3,6]
[1,5,2,4,2,6]=>[3,4,2,1,4,6]
[1,5,2,4,6,2]=>[4,5,2,1,3,5]
[1,5,2,6,2,4]=>[3,4,4,1,2,6]
[1,5,2,6,4,2]=>[4,5,3,1,2,5]
[1,5,4,2,2,6]=>[2,4,3,1,3,5]
[1,5,4,2,6,2]=>[3,5,4,1,2,4]
[1,5,4,6,2,2]=>[2,6,4,1,3,3]
[1,5,6,2,2,4]=>[2,5,3,1,3,4]
[1,5,6,2,4,2]=>[2,6,3,1,4,3]
[1,5,6,4,2,2]=>[3,5,2,1,4,4]
[1,6,2,2,4,5]=>[2,3,3,5,1,6]
[1,6,2,2,5,4]=>[2,3,5,3,1,6]
[1,6,2,4,2,5]=>[3,4,2,4,1,6]
[1,6,2,4,5,2]=>[4,5,2,3,1,5]
[1,6,2,5,2,4]=>[3,4,4,2,1,6]
[1,6,2,5,4,2]=>[4,5,3,2,1,5]
[1,6,4,2,2,5]=>[2,4,3,3,1,5]
[1,6,4,2,5,2]=>[3,5,4,2,1,4]
[1,6,4,5,2,2]=>[2,6,4,3,1,3]
[1,6,5,2,2,4]=>[2,5,3,3,1,4]
[1,6,5,2,4,2]=>[3,5,2,4,1,4]
[1,6,5,4,2,2]=>[2,6,3,4,1,3]
[2,1,2,4,5,6]=>[6,1,2,4,1,5]
[2,1,2,4,6,5]=>[6,1,4,2,1,5]
[2,1,2,5,4,6]=>[6,2,1,4,1,5]
[2,1,2,5,6,4]=>[6,4,1,2,1,5]
[2,1,2,6,4,5]=>[6,2,4,1,1,5]
[2,1,2,6,5,4]=>[6,4,2,1,1,5]
[2,1,4,2,5,6]=>[6,1,1,3,2,5]
[2,1,4,2,6,5]=>[6,1,3,1,2,5]
[2,1,4,5,2,6]=>[5,2,1,1,4,3]
[2,1,4,5,6,2]=>[3,4,2,1,6,1]
[2,1,4,6,2,5]=>[4,3,1,1,5,2]
[2,1,4,6,5,2]=>[3,4,1,2,6,1]
[2,1,5,2,4,6]=>[6,1,1,2,3,4]
[2,1,5,2,6,4]=>[6,3,1,1,2,5]
[2,1,5,4,2,6]=>[5,1,2,1,4,3]
[2,1,5,4,6,2]=>[3,2,4,1,6,1]
[2,1,5,6,2,4]=>[4,1,3,1,5,2]
[2,1,5,6,4,2]=>[3,1,4,2,6,1]
[2,1,6,2,4,5]=>[6,1,2,1,3,4]
[2,1,6,2,5,4]=>[6,2,1,1,3,4]
[2,1,6,4,2,5]=>[5,1,1,2,4,3]
[2,1,6,4,5,2]=>[3,2,1,4,6,1]
[2,1,6,5,2,4]=>[4,1,1,3,5,2]
[2,1,6,5,4,2]=>[3,1,2,4,6,1]
[2,2,1,4,5,6]=>[1,5,4,3,6,1]
[2,2,1,4,6,5]=>[1,5,3,4,6,1]
[2,2,1,5,4,6]=>[1,4,5,3,6,1]
[2,2,1,5,6,4]=>[1,3,5,4,6,1]
[2,2,1,6,4,5]=>[1,4,3,5,6,1]
[2,2,1,6,5,4]=>[1,3,4,5,6,1]
[2,2,4,1,5,6]=>[1,1,5,4,6,3]
[2,2,4,1,6,5]=>[1,1,4,5,6,3]
[2,2,4,5,1,6]=>[1,1,3,5,6,4]
[2,2,4,5,6,1]=>[1,1,3,4,6,5]
[2,2,4,6,1,5]=>[1,1,5,3,6,4]
[2,2,4,6,5,1]=>[1,1,4,3,6,5]
[2,2,5,1,4,6]=>[1,5,1,4,6,3]
[2,2,5,1,6,4]=>[1,4,1,5,6,3]
[2,2,5,4,1,6]=>[1,3,1,5,6,4]
[2,2,5,4,6,1]=>[1,3,1,4,6,5]
[2,2,5,6,1,4]=>[1,5,1,3,6,4]
[2,2,5,6,4,1]=>[1,4,1,3,6,5]
[2,2,6,1,4,5]=>[1,5,4,1,6,3]
[2,2,6,1,5,4]=>[1,4,5,1,6,3]
[2,2,6,4,1,5]=>[1,3,5,1,6,4]
[2,2,6,4,5,1]=>[1,3,4,1,6,5]
[2,2,6,5,1,4]=>[1,5,3,1,6,4]
[2,2,6,5,4,1]=>[1,4,3,1,6,5]
[2,4,1,2,5,6]=>[6,5,1,2,1,4]
[2,4,1,2,6,5]=>[6,5,2,1,1,4]
[2,4,1,5,2,6]=>[6,5,1,1,2,3]
[2,4,1,5,6,2]=>[5,3,2,1,4,1]
[2,4,1,6,2,5]=>[6,4,1,1,3,2]
[2,4,1,6,5,2]=>[5,3,1,2,4,1]
[2,4,2,1,5,6]=>[2,1,5,3,6,1]
[2,4,2,1,6,5]=>[2,1,3,5,6,1]
[2,4,2,5,1,6]=>[2,1,1,5,6,3]
[2,4,2,5,6,1]=>[2,1,1,3,6,5]
[2,4,2,6,1,5]=>[2,1,5,1,6,3]
[2,4,2,6,5,1]=>[2,1,3,1,6,5]
[2,4,5,1,2,6]=>[6,5,4,1,1,2]
[2,4,5,1,6,2]=>[6,5,3,1,2,1]
[2,4,5,2,1,6]=>[4,2,1,3,5,1]
[2,4,5,2,6,1]=>[4,2,1,1,5,3]
[2,4,5,6,1,2]=>[6,5,4,3,1,1]
[2,4,5,6,2,1]=>[6,4,2,1,3,1]
[2,4,6,1,2,5]=>[6,5,1,4,1,2]
[2,4,6,1,5,2]=>[6,5,1,3,2,1]
[2,4,6,2,1,5]=>[4,2,3,1,5,1]
[2,4,6,2,5,1]=>[5,3,1,1,4,2]
[2,4,6,5,1,2]=>[6,5,3,4,1,1]
[2,4,6,5,2,1]=>[6,4,1,2,3,1]
[2,5,1,2,4,6]=>[6,1,5,2,1,4]
[2,5,1,2,6,4]=>[6,2,5,1,1,4]
[2,5,1,4,2,6]=>[6,1,5,1,2,3]
[2,5,1,4,6,2]=>[5,2,3,1,4,1]
[2,5,1,6,2,4]=>[6,1,4,1,3,2]
[2,5,1,6,4,2]=>[5,1,3,2,4,1]
[2,5,2,1,4,6]=>[2,5,1,3,6,1]
[2,5,2,1,6,4]=>[2,3,1,5,6,1]
[2,5,2,4,1,6]=>[3,1,1,4,6,2]
[2,5,2,4,6,1]=>[3,1,1,2,6,4]
[2,5,2,6,1,4]=>[2,5,1,1,6,3]
[2,5,2,6,4,1]=>[2,3,1,1,6,5]
[2,5,4,1,2,6]=>[6,4,5,1,1,2]
[2,5,4,1,6,2]=>[6,3,5,1,2,1]
[2,5,4,2,1,6]=>[4,1,2,3,5,1]
[2,5,4,2,6,1]=>[4,1,2,1,5,3]
[2,5,4,6,1,2]=>[6,4,5,3,1,1]
[2,5,4,6,2,1]=>[6,2,4,1,3,1]
[2,5,6,1,2,4]=>[6,1,5,4,1,2]
[2,5,6,1,4,2]=>[6,1,5,3,2,1]
[2,5,6,2,1,4]=>[4,3,2,1,5,1]
[2,5,6,2,4,1]=>[5,1,3,1,4,2]
[2,5,6,4,1,2]=>[6,3,5,4,1,1]
[2,5,6,4,2,1]=>[6,1,4,2,3,1]
[2,6,1,2,4,5]=>[6,1,2,5,1,4]
[2,6,1,2,5,4]=>[6,2,1,5,1,4]
[2,6,1,4,2,5]=>[6,1,1,5,2,3]
[2,6,1,4,5,2]=>[5,2,1,3,4,1]
[2,6,1,5,2,4]=>[6,1,1,4,3,2]
[2,6,1,5,4,2]=>[5,1,2,3,4,1]
[2,6,2,1,4,5]=>[2,5,3,1,6,1]
[2,6,2,1,5,4]=>[2,3,5,1,6,1]
[2,6,2,4,1,5]=>[3,1,4,1,6,2]
[2,6,2,4,5,1]=>[3,1,2,1,6,4]
[2,6,2,5,1,4]=>[3,4,1,1,6,2]
[2,6,2,5,4,1]=>[3,2,1,1,6,4]
[2,6,4,1,2,5]=>[6,4,1,5,1,2]
[2,6,4,1,5,2]=>[6,3,1,5,2,1]
[2,6,4,2,1,5]=>[4,1,3,2,5,1]
[2,6,4,2,5,1]=>[4,1,1,2,5,3]
[2,6,4,5,1,2]=>[6,4,3,5,1,1]
[2,6,4,5,2,1]=>[6,2,1,4,3,1]
[2,6,5,1,2,4]=>[6,1,4,5,1,2]
[2,6,5,1,4,2]=>[6,1,3,5,2,1]
[2,6,5,2,1,4]=>[4,3,1,2,5,1]
[2,6,5,2,4,1]=>[5,1,1,3,4,2]
[2,6,5,4,1,2]=>[6,3,4,5,1,1]
[2,6,5,4,2,1]=>[6,1,2,4,3,1]
[4,1,2,2,5,6]=>[3,4,3,1,2,6]
[4,1,2,2,6,5]=>[4,3,3,1,2,6]
[4,1,2,5,2,6]=>[2,4,4,1,3,5]
[4,1,2,5,6,2]=>[2,3,5,1,4,5]
[4,1,2,6,2,5]=>[4,2,4,1,3,5]
[4,1,2,6,5,2]=>[3,2,5,1,4,5]
[4,1,5,2,2,6]=>[3,3,4,1,2,5]
[4,1,5,2,6,2]=>[4,2,5,1,3,4]
[4,1,5,6,2,2]=>[4,3,6,1,2,3]
[4,1,6,2,2,5]=>[3,3,5,1,2,4]
[4,1,6,2,5,2]=>[2,4,5,1,3,4]
[4,1,6,5,2,2]=>[3,4,6,1,2,3]
[4,2,1,2,5,6]=>[2,3,4,2,1,5]
[4,2,1,2,6,5]=>[3,2,4,2,1,5]
[4,2,1,5,2,6]=>[2,2,5,3,1,4]
[4,2,1,5,6,2]=>[3,2,6,5,1,2]
[4,2,1,6,2,5]=>[2,2,6,4,1,3]
[4,2,1,6,5,2]=>[2,3,6,5,1,2]
[4,2,2,1,5,6]=>[4,5,2,2,1,6]
[4,2,2,1,6,5]=>[5,4,2,2,1,6]
[4,2,2,5,1,6]=>[2,5,2,3,1,6]
[4,2,2,5,6,1]=>[2,3,2,5,1,6]
[4,2,2,6,1,5]=>[5,2,2,3,1,6]
[4,2,2,6,5,1]=>[3,2,2,5,1,6]
[4,2,5,1,2,6]=>[4,2,6,2,1,3]
[4,2,5,1,6,2]=>[5,2,6,3,1,2]
[4,2,5,2,1,6]=>[2,4,3,2,1,6]
[4,2,5,2,6,1]=>[2,2,3,4,1,6]
[4,2,5,6,1,2]=>[5,3,6,2,1,2]
[4,2,5,6,2,1]=>[3,2,5,2,1,4]
[4,2,6,1,2,5]=>[2,4,6,2,1,3]
[4,2,6,1,5,2]=>[2,5,6,3,1,2]
[4,2,6,2,1,5]=>[4,2,3,2,1,6]
[4,2,6,2,5,1]=>[2,2,4,3,1,5]
[4,2,6,5,1,2]=>[3,5,6,2,1,2]
[4,2,6,5,2,1]=>[2,3,5,2,1,4]
[4,5,1,2,2,6]=>[1,4,4,2,3,5]
[4,5,1,2,6,2]=>[1,3,5,2,4,5]
[4,5,1,6,2,2]=>[1,4,5,2,3,4]
[4,5,2,1,2,6]=>[1,3,5,3,2,4]
[4,5,2,1,6,2]=>[1,3,6,4,2,3]
[4,5,2,2,1,6]=>[1,5,3,3,2,6]
[4,5,2,2,6,1]=>[1,3,3,4,2,6]
[4,5,2,6,1,2]=>[1,4,6,3,2,3]
[4,5,2,6,2,1]=>[1,3,4,3,2,5]
[4,5,6,1,2,2]=>[1,2,5,3,4,5]
[4,5,6,2,1,2]=>[1,2,5,4,3,4]
[4,5,6,2,2,1]=>[1,2,4,4,3,6]
[4,6,1,2,2,5]=>[4,1,4,2,3,5]
[4,6,1,2,5,2]=>[3,1,5,2,4,5]
[4,6,1,5,2,2]=>[4,1,5,2,3,4]
[4,6,2,1,2,5]=>[3,1,5,3,2,4]
[4,6,2,1,5,2]=>[3,1,6,4,2,3]
[4,6,2,2,1,5]=>[5,1,3,3,2,6]
[4,6,2,2,5,1]=>[3,1,3,4,2,6]
[4,6,2,5,1,2]=>[4,1,6,3,2,3]
[4,6,2,5,2,1]=>[3,1,4,3,2,5]
[4,6,5,1,2,2]=>[2,1,5,3,4,5]
[4,6,5,2,1,2]=>[2,1,5,4,3,4]
[4,6,5,2,2,1]=>[2,1,4,4,3,6]
[5,1,2,2,4,6]=>[5,3,1,2,6,3]
[5,1,2,2,6,4]=>[3,3,1,2,6,4]
[5,1,2,4,2,6]=>[3,5,1,4,5,2]
[5,1,2,4,6,2]=>[4,4,1,3,5,2]
[5,1,2,6,2,4]=>[2,4,1,3,6,4]
[5,1,2,6,4,2]=>[2,5,1,4,5,3]
[5,1,4,2,2,6]=>[3,6,1,2,3,4]
[5,1,4,2,6,2]=>[3,5,1,2,4,3]
[5,1,4,6,2,2]=>[2,6,1,3,4,4]
[5,1,6,2,2,4]=>[3,4,1,2,5,3]
[5,1,6,2,4,2]=>[4,5,1,3,4,2]
[5,1,6,4,2,2]=>[5,6,1,2,3,3]
[5,2,1,2,4,6]=>[4,3,2,1,6,2]
[5,2,1,2,6,4]=>[2,4,2,1,5,3]
[5,2,1,4,2,6]=>[2,6,5,1,2,3]
[5,2,1,4,6,2]=>[2,6,4,1,3,2]
[5,2,1,6,2,4]=>[2,5,3,1,4,2]
[5,2,1,6,4,2]=>[4,6,5,1,2,2]
[5,2,2,1,4,6]=>[5,2,2,1,6,4]
[5,2,2,1,6,4]=>[4,2,2,1,6,5]
[5,2,2,4,1,6]=>[4,2,5,1,6,2]
[5,2,2,4,6,1]=>[5,2,4,1,6,2]
[5,2,2,6,1,4]=>[2,2,3,1,6,5]
[5,2,2,6,4,1]=>[2,2,5,1,6,3]
[5,2,4,1,2,6]=>[2,5,2,1,4,3]
[5,2,4,1,6,2]=>[2,4,3,1,5,2]
[5,2,4,2,1,6]=>[3,6,2,1,2,5]
[5,2,4,2,6,1]=>[2,6,3,1,2,5]
[5,2,4,6,1,2]=>[3,4,2,1,5,2]
[5,2,4,6,2,1]=>[2,6,2,1,3,4]
[5,2,6,1,2,4]=>[3,5,2,1,4,2]
[5,2,6,1,4,2]=>[5,6,4,1,2,2]
[5,2,6,2,1,4]=>[2,3,2,1,6,4]
[5,2,6,2,4,1]=>[2,3,4,1,6,2]
[5,2,6,4,1,2]=>[4,6,2,1,3,2]
[5,2,6,4,2,1]=>[5,6,2,1,2,3]
[5,4,1,2,2,6]=>[2,5,4,3,4,1]
[5,4,1,2,6,2]=>[3,5,3,2,4,1]
[5,4,1,6,2,2]=>[3,6,4,2,3,1]
[5,4,2,1,2,6]=>[2,4,4,3,6,1]
[5,4,2,1,6,2]=>[3,3,4,2,6,1]
[5,4,2,2,1,6]=>[2,5,3,4,5,1]
[5,4,2,2,6,1]=>[3,5,2,4,5,1]
[5,4,2,6,1,2]=>[5,3,3,2,6,1]
[5,4,2,6,2,1]=>[4,4,2,3,5,1]
[5,4,6,1,2,2]=>[4,6,3,2,3,1]
[5,4,6,2,1,2]=>[3,4,3,2,5,1]
[5,4,6,2,2,1]=>[4,5,2,3,4,1]
[5,6,1,2,2,4]=>[1,4,2,3,6,4]
[5,6,1,2,4,2]=>[1,5,2,4,5,3]
[5,6,1,4,2,2]=>[1,6,2,3,4,4]
[5,6,2,1,2,4]=>[1,4,3,2,5,3]
[5,6,2,1,4,2]=>[1,6,5,2,3,3]
[5,6,2,2,1,4]=>[1,3,3,2,6,5]
[5,6,2,2,4,1]=>[1,3,5,2,6,3]
[5,6,2,4,1,2]=>[1,5,3,2,4,3]
[5,6,2,4,2,1]=>[1,6,3,2,3,4]
[5,6,4,1,2,2]=>[1,5,4,3,4,2]
[5,6,4,2,1,2]=>[1,4,4,3,6,2]
[5,6,4,2,2,1]=>[1,5,3,4,5,2]
[6,1,2,2,4,5]=>[3,1,2,6,3,5]
[6,1,2,2,5,4]=>[3,1,2,6,5,3]
[6,1,2,4,2,5]=>[5,1,4,5,2,3]
[6,1,2,4,5,2]=>[4,1,3,6,2,4]
[6,1,2,5,2,4]=>[5,1,4,5,3,2]
[6,1,2,5,4,2]=>[4,1,3,6,4,2]
[6,1,4,2,2,5]=>[6,1,2,3,5,3]
[6,1,4,2,5,2]=>[4,1,2,5,3,3]
[6,1,4,5,2,2]=>[6,1,3,4,4,2]
[6,1,5,2,2,4]=>[6,1,2,3,3,5]
[6,1,5,2,4,2]=>[5,1,2,4,3,3]
[6,1,5,4,2,2]=>[6,1,3,4,2,4]
[6,2,1,2,4,5]=>[3,2,1,6,2,4]
[6,2,1,2,5,4]=>[3,2,1,6,4,2]
[6,2,1,4,2,5]=>[6,5,1,2,4,2]
[6,2,1,4,5,2]=>[5,3,1,4,2,2]
[6,2,1,5,2,4]=>[6,5,1,2,2,4]
[6,2,1,5,4,2]=>[6,4,1,3,2,2]
[6,2,2,1,4,5]=>[2,2,1,6,4,5]
[6,2,2,1,5,4]=>[2,2,1,6,5,4]
[6,2,2,4,1,5]=>[2,5,1,6,2,4]
[6,2,2,4,5,1]=>[2,4,1,6,2,5]
[6,2,2,5,1,4]=>[2,5,1,6,4,2]
[6,2,2,5,4,1]=>[2,4,1,6,5,2]
[6,2,4,1,2,5]=>[6,2,1,3,4,2]
[6,2,4,1,5,2]=>[3,4,1,6,2,2]
[6,2,4,2,1,5]=>[6,2,1,2,5,3]
[6,2,4,2,5,1]=>[6,4,1,2,5,2]
[6,2,4,5,1,2]=>[5,2,1,4,3,2]
[6,2,4,5,2,1]=>[4,2,1,5,2,3]
[6,2,5,1,2,4]=>[6,2,1,3,2,4]
[6,2,5,1,4,2]=>[4,3,1,5,2,2]
[6,2,5,2,1,4]=>[6,2,1,2,3,5]
[6,2,5,2,4,1]=>[6,4,1,2,2,5]
[6,2,5,4,1,2]=>[4,2,1,5,3,2]
[6,2,5,4,2,1]=>[5,2,1,4,2,3]
[6,4,1,2,2,5]=>[5,4,3,4,1,2]
[6,4,1,2,5,2]=>[4,3,2,5,1,3]
[6,4,1,5,2,2]=>[6,5,2,3,1,3]
[6,4,2,1,2,5]=>[4,4,3,6,1,2]
[6,4,2,1,5,2]=>[3,5,2,6,1,3]
[6,4,2,2,1,5]=>[5,3,4,5,1,2]
[6,4,2,2,5,1]=>[5,2,4,5,1,3]
[6,4,2,5,1,2]=>[4,2,3,6,1,4]
[6,4,2,5,2,1]=>[3,3,2,6,1,5]
[6,4,5,1,2,2]=>[5,3,2,4,1,3]
[6,4,5,2,1,2]=>[6,2,3,4,1,4]
[6,4,5,2,2,1]=>[6,3,2,3,1,4]
[6,5,1,2,2,4]=>[5,4,3,4,2,1]
[6,5,1,2,4,2]=>[4,3,2,5,3,1]
[6,5,1,4,2,2]=>[6,5,2,3,3,1]
[6,5,2,1,2,4]=>[4,4,3,6,2,1]
[6,5,2,1,4,2]=>[3,5,2,6,3,1]
[6,5,2,2,1,4]=>[5,3,4,5,2,1]
[6,5,2,2,4,1]=>[5,2,4,5,3,1]
[6,5,2,4,1,2]=>[3,3,2,6,5,1]
[6,5,2,4,2,1]=>[4,2,3,6,4,1]
[6,5,4,1,2,2]=>[5,3,2,4,3,1]
[6,5,4,2,1,2]=>[6,3,2,3,4,1]
[6,5,4,2,2,1]=>[6,2,3,4,4,1]
[1,2,3,3,3,3]=>[1,2,3,3,3,3]
[1,3,2,3,3,3]=>[2,1,3,2,2,2]
[1,3,3,2,3,3]=>[2,1,2,3,2,2]
[1,3,3,3,2,3]=>[2,1,2,2,3,2]
[1,3,3,3,3,2]=>[2,1,2,2,2,3]
[2,1,3,3,3,3]=>[2,3,3,3,3,1]
[2,3,1,3,3,3]=>[1,6,2,2,2,2]
[2,3,3,1,3,3]=>[1,2,6,2,2,2]
[2,3,3,3,1,3]=>[1,2,2,6,2,2]
[2,3,3,3,3,1]=>[1,2,2,2,6,2]
[3,1,2,3,3,3]=>[4,5,1,1,1,1]
[3,1,3,2,3,3]=>[4,1,5,1,1,1]
[3,1,3,3,2,3]=>[4,1,1,5,1,1]
[3,1,3,3,3,2]=>[6,1,1,1,5,1]
[3,2,1,3,3,3]=>[5,4,1,1,1,1]
[3,2,3,1,3,3]=>[5,1,4,1,1,1]
[3,2,3,3,1,3]=>[5,1,1,4,1,1]
[3,2,3,3,3,1]=>[6,1,1,1,1,5]
[3,3,1,2,3,3]=>[1,4,5,1,1,1]
[3,3,1,3,2,3]=>[1,4,1,5,1,1]
[3,3,1,3,3,2]=>[1,6,1,1,5,1]
[3,3,2,1,3,3]=>[1,5,4,1,1,1]
[3,3,2,3,1,3]=>[1,5,1,4,1,1]
[3,3,2,3,3,1]=>[1,6,1,1,1,5]
[3,3,3,1,2,3]=>[1,1,4,5,1,1]
[3,3,3,1,3,2]=>[1,1,6,1,5,1]
[3,3,3,2,1,3]=>[1,1,5,4,1,1]
[3,3,3,2,3,1]=>[1,1,6,1,1,5]
[3,3,3,3,1,2]=>[1,1,1,6,1,5]
[3,3,3,3,2,1]=>[1,1,1,6,5,1]
[1,2,3,3,3,4]=>[1,2,3,3,3,4]
[1,2,3,3,4,3]=>[1,2,3,3,4,3]
[1,2,3,4,3,3]=>[1,2,3,4,3,3]
[1,2,4,3,3,3]=>[1,3,2,4,4,4]
[1,3,2,3,3,4]=>[2,1,2,3,2,4]
[1,3,2,3,4,3]=>[2,1,2,3,4,2]
[1,3,2,4,3,3]=>[3,1,2,6,2,2]
[1,3,3,2,3,4]=>[2,1,2,2,3,4]
[1,3,3,2,4,3]=>[3,1,2,2,6,2]
[1,3,3,3,2,4]=>[2,1,3,2,2,6]
[1,3,3,3,4,2]=>[3,1,2,2,2,6]
[1,3,3,4,2,3]=>[2,1,3,2,6,2]
[1,3,3,4,3,2]=>[2,1,2,2,4,3]
[1,3,4,2,3,3]=>[2,1,3,6,2,2]
[1,3,4,3,2,3]=>[2,1,2,4,3,2]
[1,3,4,3,3,2]=>[2,1,2,4,2,3]
[1,4,2,3,3,3]=>[2,3,1,4,4,4]
[1,4,3,2,3,3]=>[3,2,1,4,3,3]
[1,4,3,3,2,3]=>[3,2,1,3,4,3]
[1,4,3,3,3,2]=>[3,2,1,3,3,4]
[2,1,3,3,3,4]=>[3,2,4,4,4,1]
[2,1,3,3,4,3]=>[2,3,3,3,4,1]
[2,1,3,4,3,3]=>[2,3,3,4,3,1]
[2,1,4,3,3,3]=>[2,3,4,3,3,1]
[2,3,1,3,3,4]=>[1,2,6,2,2,3]
[2,3,1,3,4,3]=>[1,2,5,2,3,2]
[2,3,1,4,3,3]=>[1,2,5,3,2,2]
[2,3,3,1,3,4]=>[1,2,2,6,2,3]
[2,3,3,1,4,3]=>[1,2,2,5,3,2]
[2,3,3,3,1,4]=>[1,5,2,2,6,2]
[2,3,3,3,4,1]=>[1,2,2,2,6,3]
[2,3,3,4,1,3]=>[1,5,2,6,2,2]
[2,3,3,4,3,1]=>[1,2,2,3,5,2]
[2,3,4,1,3,3]=>[1,5,6,2,2,2]
[2,3,4,3,1,3]=>[1,2,3,5,2,2]
[2,3,4,3,3,1]=>[1,2,3,2,5,2]
[2,4,1,3,3,3]=>[3,1,4,4,4,2]
[2,4,3,1,3,3]=>[2,1,6,3,3,3]
[2,4,3,3,1,3]=>[2,1,3,6,3,3]
[2,4,3,3,3,1]=>[2,1,3,3,6,3]
[3,1,2,3,3,4]=>[1,4,5,1,1,2]
[3,1,2,3,4,3]=>[1,5,4,1,2,1]
[3,1,2,4,3,3]=>[1,3,4,2,1,1]
[3,1,3,2,3,4]=>[1,4,1,5,1,2]
[3,1,3,2,4,3]=>[1,5,1,4,2,1]
[3,1,3,3,2,4]=>[4,6,1,1,5,1]
[3,1,3,3,4,2]=>[1,6,1,1,5,2]
[3,1,3,4,2,3]=>[4,3,1,6,1,1]
[3,1,3,4,3,2]=>[1,6,1,2,4,1]
[3,1,4,2,3,3]=>[4,3,6,1,1,1]
[3,1,4,3,2,3]=>[1,3,2,4,1,1]
[3,1,4,3,3,2]=>[1,6,2,1,4,1]
[3,2,1,3,3,4]=>[1,5,4,1,1,2]
[3,2,1,3,4,3]=>[1,4,5,1,2,1]
[3,2,1,4,3,3]=>[1,4,3,2,1,1]
[3,2,3,1,3,4]=>[1,5,1,4,1,2]
[3,2,3,1,4,3]=>[1,4,1,5,2,1]
[3,2,3,3,1,4]=>[4,6,1,1,1,5]
[3,2,3,3,4,1]=>[1,6,1,1,2,5]
[3,2,3,4,1,3]=>[3,4,1,5,1,1]
[3,2,3,4,3,1]=>[1,6,1,2,1,4]
[3,2,4,1,3,3]=>[3,4,5,1,1,1]
[3,2,4,3,1,3]=>[1,4,2,3,1,1]
[3,2,4,3,3,1]=>[1,6,2,1,1,4]
[3,3,1,2,3,4]=>[1,1,4,5,1,2]
[3,3,1,2,4,3]=>[1,1,5,4,2,1]
[3,3,1,3,2,4]=>[4,1,6,1,5,1]
[3,3,1,3,4,2]=>[1,1,6,1,5,2]
[3,3,1,4,2,3]=>[4,1,3,6,1,1]
[3,3,1,4,3,2]=>[1,1,6,2,4,1]
[3,3,2,1,3,4]=>[1,1,5,4,1,2]
[3,3,2,1,4,3]=>[1,1,4,5,2,1]
[3,3,2,3,1,4]=>[4,1,6,1,1,5]
[3,3,2,3,4,1]=>[1,1,6,1,2,5]
[3,3,2,4,1,3]=>[3,1,4,5,1,1]
[3,3,2,4,3,1]=>[1,1,6,2,1,4]
[3,3,3,1,2,4]=>[4,1,1,6,1,5]
[3,3,3,1,4,2]=>[5,1,1,6,1,4]
[3,3,3,2,1,4]=>[4,1,1,6,5,1]
[3,3,3,2,4,1]=>[5,1,1,6,4,1]
[3,3,3,4,1,2]=>[1,1,1,6,2,5]
[3,3,3,4,2,1]=>[1,1,1,6,5,2]
[3,3,4,1,2,3]=>[3,1,5,4,1,1]
[3,3,4,1,3,2]=>[5,1,6,1,4,1]
[3,3,4,2,1,3]=>[4,1,6,3,1,1]
[3,3,4,2,3,1]=>[5,1,6,1,1,4]
[3,3,4,3,1,2]=>[1,1,2,6,1,4]
[3,3,4,3,2,1]=>[1,1,2,6,4,1]
[3,4,1,2,3,3]=>[3,5,4,1,1,1]
[3,4,1,3,2,3]=>[3,5,1,4,1,1]
[3,4,1,3,3,2]=>[5,6,1,1,4,1]
[3,4,2,1,3,3]=>[4,6,3,1,1,1]
[3,4,2,3,1,3]=>[4,6,1,3,1,1]
[3,4,2,3,3,1]=>[5,6,1,1,1,4]
[3,4,3,1,2,3]=>[1,2,3,4,1,1]
[3,4,3,1,3,2]=>[1,2,6,1,4,1]
[3,4,3,2,1,3]=>[1,2,4,3,1,1]
[3,4,3,2,3,1]=>[1,2,6,1,1,4]
[3,4,3,3,1,2]=>[1,2,1,6,1,4]
[3,4,3,3,2,1]=>[1,2,1,6,4,1]
[4,1,2,3,3,3]=>[6,3,3,1,3,2]
[4,1,3,2,3,3]=>[3,6,3,1,3,2]
[4,1,3,3,2,3]=>[3,3,6,1,3,2]
[4,1,3,3,3,2]=>[4,4,4,1,2,3]
[4,2,1,3,3,3]=>[6,3,3,3,1,2]
[4,2,3,1,3,3]=>[3,6,3,3,1,2]
[4,2,3,3,1,3]=>[3,3,6,3,1,2]
[4,2,3,3,3,1]=>[4,4,4,2,1,3]
[4,3,1,2,3,3]=>[4,5,2,2,2,1]
[4,3,1,3,2,3]=>[4,2,5,2,2,1]
[4,3,1,3,3,2]=>[6,2,2,5,2,1]
[4,3,2,1,3,3]=>[5,4,2,2,2,1]
[4,3,2,3,1,3]=>[5,2,4,2,2,1]
[4,3,2,3,3,1]=>[6,2,2,2,5,1]
[4,3,3,1,2,3]=>[2,4,5,2,2,1]
[4,3,3,1,3,2]=>[2,6,2,5,2,1]
[4,3,3,2,1,3]=>[2,5,4,2,2,1]
[4,3,3,2,3,1]=>[2,6,2,2,5,1]
[4,3,3,3,1,2]=>[2,2,6,5,2,1]
[4,3,3,3,2,1]=>[2,2,6,2,5,1]
[1,2,3,3,3,5]=>[1,2,3,3,3,5]
[1,2,3,3,5,3]=>[1,2,3,3,5,3]
[1,2,3,5,3,3]=>[1,2,4,3,3,3]
[1,2,5,3,3,3]=>[1,3,4,2,4,4]
[1,3,2,3,3,5]=>[2,1,3,2,2,4]
[1,3,2,3,5,3]=>[2,1,3,2,4,2]
[1,3,2,5,3,3]=>[3,1,6,2,2,2]
[1,3,3,2,3,5]=>[2,1,2,2,3,5]
[1,3,3,2,5,3]=>[4,1,2,2,6,2]
[1,3,3,3,2,5]=>[2,1,2,3,2,6]
[1,3,3,3,5,2]=>[4,1,2,2,2,6]
[1,3,3,5,2,3]=>[2,1,2,3,6,2]
[1,3,3,5,3,2]=>[2,1,2,2,5,3]
[1,3,5,2,3,3]=>[2,1,6,3,2,2]
[1,3,5,3,2,3]=>[2,1,4,2,3,2]
[1,3,5,3,3,2]=>[2,1,4,2,2,3]
[1,5,2,3,3,3]=>[3,2,4,1,3,3]
[1,5,3,2,3,3]=>[2,3,4,1,4,4]
[1,5,3,3,2,3]=>[3,2,3,1,4,3]
[1,5,3,3,3,2]=>[3,2,3,1,3,4]
[2,1,3,3,3,5]=>[3,4,2,4,4,1]
[2,1,3,3,5,3]=>[2,3,3,3,5,1]
[2,1,3,5,3,3]=>[2,3,3,5,3,1]
[2,1,5,3,3,3]=>[2,4,3,3,3,1]
[2,3,1,3,3,5]=>[1,6,2,2,2,3]
[2,3,1,3,5,3]=>[1,5,2,2,3,2]
[2,3,1,5,3,3]=>[1,5,2,3,2,2]
[2,3,3,1,3,5]=>[1,2,2,6,2,4]
[2,3,3,1,5,3]=>[1,2,2,5,4,2]
[2,3,3,3,1,5]=>[1,2,5,2,6,2]
[2,3,3,3,5,1]=>[1,2,2,2,6,4]
[2,3,3,5,1,3]=>[1,2,5,6,2,2]
[2,3,3,5,3,1]=>[1,2,2,4,5,2]
[2,3,5,1,3,3]=>[1,6,5,2,2,2]
[2,3,5,3,1,3]=>[1,3,2,5,2,2]
[2,3,5,3,3,1]=>[1,3,2,2,5,2]
[2,5,1,3,3,3]=>[2,6,1,3,3,3]
[2,5,3,1,3,3]=>[3,4,1,4,4,2]
[2,5,3,3,1,3]=>[2,3,1,6,3,3]
[2,5,3,3,3,1]=>[2,3,1,3,6,3]
[3,1,2,3,3,5]=>[4,1,5,1,1,2]
[3,1,2,3,5,3]=>[5,1,4,1,2,1]
[3,1,2,5,3,3]=>[3,1,4,2,1,1]
[3,1,3,2,3,5]=>[4,1,1,5,1,2]
[3,1,3,2,5,3]=>[5,1,1,4,2,1]
[3,1,3,3,2,5]=>[6,4,1,1,5,1]
[3,1,3,3,5,2]=>[6,1,1,1,5,2]
[3,1,3,5,2,3]=>[3,4,1,6,1,1]
[3,1,3,5,3,2]=>[6,1,1,2,4,1]
[3,1,5,2,3,3]=>[3,4,6,1,1,1]
[3,1,5,3,2,3]=>[3,1,2,4,1,1]
[3,1,5,3,3,2]=>[6,1,2,1,4,1]
[3,2,1,3,3,5]=>[5,1,4,1,1,2]
[3,2,1,3,5,3]=>[4,1,5,1,2,1]
[3,2,1,5,3,3]=>[4,1,3,2,1,1]
[3,2,3,1,3,5]=>[5,1,1,4,1,2]
[3,2,3,1,5,3]=>[4,1,1,5,2,1]
[3,2,3,3,1,5]=>[6,4,1,1,1,5]
[3,2,3,3,5,1]=>[6,1,1,1,2,5]
[3,2,3,5,1,3]=>[4,3,1,5,1,1]
[3,2,3,5,3,1]=>[6,1,1,2,1,4]
[3,2,5,1,3,3]=>[4,3,5,1,1,1]
[3,2,5,3,1,3]=>[4,1,2,3,1,1]
[3,2,5,3,3,1]=>[6,1,2,1,1,4]
[3,3,1,2,3,5]=>[1,1,4,5,1,3]
[3,3,1,2,5,3]=>[1,1,5,4,3,1]
[3,3,1,3,2,5]=>[1,4,6,1,5,1]
[3,3,1,3,5,2]=>[1,1,6,1,5,3]
[3,3,1,5,2,3]=>[1,4,3,6,1,1]
[3,3,1,5,3,2]=>[1,1,6,3,4,1]
[3,3,2,1,3,5]=>[1,1,5,4,1,3]
[3,3,2,1,5,3]=>[1,1,4,5,3,1]
[3,3,2,3,1,5]=>[1,4,6,1,1,5]
[3,3,2,3,5,1]=>[1,1,6,1,3,5]
[3,3,2,5,1,3]=>[1,3,4,5,1,1]
[3,3,2,5,3,1]=>[1,1,6,3,1,4]
[3,3,3,1,2,5]=>[1,4,1,6,1,5]
[3,3,3,1,5,2]=>[1,5,1,6,1,4]
[3,3,3,2,1,5]=>[1,4,1,6,5,1]
[3,3,3,2,5,1]=>[1,5,1,6,4,1]
[3,3,3,5,1,2]=>[1,1,1,6,3,5]
[3,3,3,5,2,1]=>[1,1,1,6,5,3]
[3,3,5,1,2,3]=>[1,3,5,4,1,1]
[3,3,5,1,3,2]=>[1,5,6,1,4,1]
[3,3,5,2,1,3]=>[1,4,6,3,1,1]
[3,3,5,2,3,1]=>[1,5,6,1,1,4]
[3,3,5,3,1,2]=>[1,1,3,6,1,4]
[3,3,5,3,2,1]=>[1,1,3,6,4,1]
[3,5,1,2,3,3]=>[5,3,4,1,1,1]
[3,5,1,3,2,3]=>[5,3,1,4,1,1]
[3,5,1,3,3,2]=>[6,5,1,1,4,1]
[3,5,2,1,3,3]=>[6,4,3,1,1,1]
[3,5,2,3,1,3]=>[6,4,1,3,1,1]
[3,5,2,3,3,1]=>[6,5,1,1,1,4]
[3,5,3,1,2,3]=>[2,1,3,4,1,1]
[3,5,3,1,3,2]=>[2,1,6,1,4,1]
[3,5,3,2,1,3]=>[2,1,4,3,1,1]
[3,5,3,2,3,1]=>[2,1,6,1,1,4]
[3,5,3,3,1,2]=>[2,1,1,6,1,4]
[3,5,3,3,2,1]=>[2,1,1,6,4,1]
[5,1,2,3,3,3]=>[5,3,1,3,2,3]
[5,1,3,2,3,3]=>[3,5,1,3,2,3]
[5,1,3,3,2,3]=>[4,4,1,2,3,4]
[5,1,3,3,3,2]=>[3,3,1,3,2,6]
[5,2,1,3,3,3]=>[5,3,3,1,2,3]
[5,2,3,1,3,3]=>[3,5,3,1,2,3]
[5,2,3,3,1,3]=>[4,4,2,1,3,4]
[5,2,3,3,3,1]=>[3,3,3,1,2,6]
[5,3,1,2,3,3]=>[3,4,2,2,1,2]
[5,3,1,3,2,3]=>[6,2,4,2,1,2]
[5,3,1,3,3,2]=>[4,2,2,2,1,5]
[5,3,2,1,3,3]=>[4,3,2,2,1,2]
[5,3,2,3,1,3]=>[6,2,2,4,1,2]
[5,3,2,3,3,1]=>[5,2,2,2,1,4]
[5,3,3,1,2,3]=>[2,6,4,2,1,2]
[5,3,3,1,3,2]=>[2,4,2,2,1,5]
[5,3,3,2,1,3]=>[2,6,2,4,1,2]
[5,3,3,2,3,1]=>[2,5,2,2,1,4]
[5,3,3,3,1,2]=>[2,2,2,5,1,6]
[5,3,3,3,2,1]=>[2,2,5,2,1,6]
[1,2,3,3,3,6]=>[1,2,3,3,3,6]
[1,2,3,3,6,3]=>[1,2,3,5,3,3]
[1,2,3,6,3,3]=>[1,2,5,3,3,3]
[1,2,6,3,3,3]=>[1,3,4,4,2,4]
[1,3,2,3,3,6]=>[2,1,3,2,2,5]
[1,3,2,3,6,3]=>[2,1,3,4,2,2]
[1,3,2,6,3,3]=>[4,1,6,2,2,2]
[1,3,3,2,3,6]=>[2,1,2,3,2,5]
[1,3,3,2,6,3]=>[4,1,2,6,2,2]
[1,3,3,3,2,6]=>[2,1,2,2,3,6]
[1,3,3,3,6,2]=>[5,1,2,2,2,6]
[1,3,3,6,2,3]=>[2,1,2,6,3,2]
[1,3,3,6,3,2]=>[2,1,2,5,2,3]
[1,3,6,2,3,3]=>[2,1,4,3,2,2]
[1,3,6,3,2,3]=>[2,1,6,2,3,2]
[1,3,6,3,3,2]=>[2,1,5,2,2,3]
[1,6,2,3,3,3]=>[3,2,4,3,1,3]
[1,6,3,2,3,3]=>[3,2,3,4,1,3]
[1,6,3,3,2,3]=>[2,3,4,4,1,4]
[1,6,3,3,3,2]=>[3,2,3,3,1,4]
[2,1,3,3,3,6]=>[3,4,4,2,4,1]
[2,1,3,3,6,3]=>[2,3,3,3,6,1]
[2,1,3,6,3,3]=>[2,3,5,3,3,1]
[2,1,6,3,3,3]=>[2,5,3,3,3,1]
[2,3,1,3,3,6]=>[1,6,2,2,2,4]
[2,3,1,3,6,3]=>[1,5,2,2,4,2]
[2,3,1,6,3,3]=>[1,5,3,2,2,2]
[2,3,3,1,3,6]=>[1,2,6,2,2,4]
[2,3,3,1,6,3]=>[1,2,5,2,4,2]
[2,3,3,3,1,6]=>[1,2,2,5,6,2]
[2,3,3,3,6,1]=>[1,2,2,2,6,5]
[2,3,3,6,1,3]=>[1,2,6,5,2,2]
[2,3,3,6,3,1]=>[1,2,4,2,5,2]
[2,3,6,1,3,3]=>[1,3,5,2,2,2]
[2,3,6,3,1,3]=>[1,6,2,5,2,2]
[2,3,6,3,3,1]=>[1,4,2,2,5,2]
[2,6,1,3,3,3]=>[2,6,3,1,3,3]
[2,6,3,1,3,3]=>[2,3,6,1,3,3]
[2,6,3,3,1,3]=>[3,4,4,1,4,2]
[2,6,3,3,3,1]=>[2,3,3,1,6,3]
[3,1,2,3,3,6]=>[4,5,1,1,1,2]
[3,1,2,3,6,3]=>[5,4,1,1,2,1]
[3,1,2,6,3,3]=>[3,4,1,2,1,1]
[3,1,3,2,3,6]=>[4,1,1,5,1,3]
[3,1,3,2,6,3]=>[5,1,1,4,3,1]
[3,1,3,3,2,6]=>[6,1,4,1,5,1]
[3,1,3,3,6,2]=>[6,1,1,1,5,3]
[3,1,3,6,2,3]=>[3,1,4,6,1,1]
[3,1,3,6,3,2]=>[6,1,1,3,4,1]
[3,1,6,2,3,3]=>[3,6,4,1,1,1]
[3,1,6,3,2,3]=>[3,2,1,4,1,1]
[3,1,6,3,3,2]=>[6,2,1,1,4,1]
[3,2,1,3,3,6]=>[5,4,1,1,1,2]
[3,2,1,3,6,3]=>[4,5,1,1,2,1]
[3,2,1,6,3,3]=>[4,3,1,2,1,1]
[3,2,3,1,3,6]=>[5,1,1,4,1,3]
[3,2,3,1,6,3]=>[4,1,1,5,3,1]
[3,2,3,3,1,6]=>[6,1,4,1,1,5]
[3,2,3,3,6,1]=>[6,1,1,1,3,5]
[3,2,3,6,1,3]=>[4,1,3,5,1,1]
[3,2,3,6,3,1]=>[6,1,1,3,1,4]
[3,2,6,1,3,3]=>[4,5,3,1,1,1]
[3,2,6,3,1,3]=>[4,2,1,3,1,1]
[3,2,6,3,3,1]=>[6,2,1,1,1,4]
[3,3,1,2,3,6]=>[1,4,1,5,1,3]
[3,3,1,2,6,3]=>[1,5,1,4,3,1]
[3,3,1,3,2,6]=>[1,6,4,1,5,1]
[3,3,1,3,6,2]=>[1,6,1,1,5,3]
[3,3,1,6,2,3]=>[1,3,4,6,1,1]
[3,3,1,6,3,2]=>[1,6,1,3,4,1]
[3,3,2,1,3,6]=>[1,5,1,4,1,3]
[3,3,2,1,6,3]=>[1,4,1,5,3,1]
[3,3,2,3,1,6]=>[1,6,4,1,1,5]
[3,3,2,3,6,1]=>[1,6,1,1,3,5]
[3,3,2,6,1,3]=>[1,4,3,5,1,1]
[3,3,2,6,3,1]=>[1,6,1,3,1,4]
[3,3,3,1,2,6]=>[1,1,4,6,1,5]
[3,3,3,1,6,2]=>[1,1,5,6,1,4]
[3,3,3,2,1,6]=>[1,1,4,6,5,1]
[3,3,3,2,6,1]=>[1,1,5,6,4,1]
[3,3,3,6,1,2]=>[1,1,1,6,4,5]
[3,3,3,6,2,1]=>[1,1,1,6,5,4]
[3,3,6,1,2,3]=>[1,5,3,4,1,1]
[3,3,6,1,3,2]=>[1,6,5,1,4,1]
[3,3,6,2,1,3]=>[1,6,4,3,1,1]
[3,3,6,2,3,1]=>[1,6,5,1,1,4]
[3,3,6,3,1,2]=>[1,3,1,6,1,4]
[3,3,6,3,2,1]=>[1,3,1,6,4,1]
[3,6,1,2,3,3]=>[6,3,4,1,1,1]
[3,6,1,3,2,3]=>[2,3,1,4,1,1]
[3,6,1,3,3,2]=>[2,6,1,1,4,1]
[3,6,2,1,3,3]=>[5,4,3,1,1,1]
[3,6,2,3,1,3]=>[2,4,1,3,1,1]
[3,6,2,3,3,1]=>[2,6,1,1,1,4]
[3,6,3,1,2,3]=>[5,1,3,4,1,1]
[3,6,3,1,3,2]=>[6,1,5,1,4,1]
[3,6,3,2,1,3]=>[6,1,4,3,1,1]
[3,6,3,2,3,1]=>[6,1,5,1,1,4]
[3,6,3,3,1,2]=>[3,1,1,6,1,4]
[3,6,3,3,2,1]=>[3,1,1,6,4,1]
[6,1,2,3,3,3]=>[4,1,3,2,3,3]
[6,1,3,2,3,3]=>[4,1,2,3,4,4]
[6,1,3,3,2,3]=>[3,1,3,2,5,3]
[6,1,3,3,3,2]=>[3,1,3,2,3,5]
[6,2,1,3,3,3]=>[4,3,1,2,3,3]
[6,2,3,1,3,3]=>[4,2,1,3,4,4]
[6,2,3,3,1,3]=>[3,3,1,2,5,3]
[6,2,3,3,3,1]=>[3,3,1,2,3,5]
[6,3,1,2,3,3]=>[6,3,2,1,2,2]
[6,3,1,3,2,3]=>[3,2,2,1,4,2]
[6,3,1,3,3,2]=>[3,2,2,1,2,4]
[6,3,2,1,3,3]=>[6,2,3,1,2,2]
[6,3,2,3,1,3]=>[4,2,2,1,3,2]
[6,3,2,3,3,1]=>[4,2,2,1,2,3]
[6,3,3,1,2,3]=>[2,4,2,1,6,2]
[6,3,3,1,3,2]=>[2,2,2,1,4,5]
[6,3,3,2,1,3]=>[2,2,4,1,6,2]
[6,3,3,2,3,1]=>[2,2,2,1,5,4]
[6,3,3,3,1,2]=>[2,2,4,1,2,6]
[6,3,3,3,2,1]=>[2,4,2,1,2,6]
[1,2,3,3,4,4]=>[1,2,3,3,4,4]
[1,2,3,4,3,4]=>[1,2,3,4,3,4]
[1,2,3,4,4,3]=>[1,2,3,4,4,3]
[1,2,4,3,3,4]=>[1,3,2,4,4,3]
[1,2,4,3,4,3]=>[1,3,2,4,3,4]
[1,2,4,4,3,3]=>[1,3,2,3,4,4]
[1,3,2,3,4,4]=>[2,1,2,3,4,4]
[1,3,2,4,3,4]=>[3,1,2,5,2,3]
[1,3,2,4,4,3]=>[3,1,2,5,3,2]
[1,3,3,2,4,4]=>[2,1,3,2,5,5]
[1,3,3,4,2,4]=>[3,1,2,2,5,3]
[1,3,3,4,4,2]=>[3,1,2,2,3,5]
[1,3,4,2,3,4]=>[2,1,2,4,3,4]
[1,3,4,2,4,3]=>[3,1,2,3,5,2]
[1,3,4,3,2,4]=>[2,1,3,5,2,5]
[1,3,4,3,4,2]=>[3,1,2,3,2,5]
[1,3,4,4,2,3]=>[2,1,3,5,5,2]
[1,3,4,4,3,2]=>[2,1,2,4,4,3]
[1,4,2,3,3,4]=>[3,2,1,5,3,2]
[1,4,2,3,4,3]=>[3,2,1,5,2,3]
[1,4,2,4,3,3]=>[2,2,1,3,4,4]
[1,4,3,2,3,4]=>[3,2,1,3,5,2]
[1,4,3,2,4,3]=>[2,2,1,4,3,4]
[1,4,3,3,2,4]=>[2,3,1,5,5,2]
[1,4,3,3,4,2]=>[2,2,1,4,4,3]
[1,4,3,4,2,3]=>[2,3,1,5,2,5]
[1,4,3,4,3,2]=>[3,2,1,3,2,5]
[1,4,4,2,3,3]=>[2,3,1,2,5,5]
[1,4,4,3,2,3]=>[3,2,1,2,5,3]
[1,4,4,3,3,2]=>[3,2,1,2,3,5]
[2,1,3,3,4,4]=>[3,2,4,4,3,1]
[2,1,3,4,3,4]=>[3,2,4,3,4,1]
[2,1,3,4,4,3]=>[2,3,3,4,4,1]
[2,1,4,3,3,4]=>[3,2,3,4,4,1]
[2,1,4,3,4,3]=>[2,3,4,3,4,1]
[2,1,4,4,3,3]=>[2,3,4,4,3,1]
[2,3,1,3,4,4]=>[1,2,6,2,3,3]
[2,3,1,4,3,4]=>[1,2,6,3,2,3]
[2,3,1,4,4,3]=>[1,2,4,3,3,2]
[2,3,3,1,4,4]=>[1,4,2,5,5,2]
[2,3,3,4,1,4]=>[1,2,2,6,3,3]
[2,3,3,4,4,1]=>[1,2,2,3,6,3]
[2,3,4,1,3,4]=>[1,2,3,6,2,3]
[2,3,4,1,4,3]=>[1,2,3,4,3,2]
[2,3,4,3,1,4]=>[1,4,5,2,5,2]
[2,3,4,3,4,1]=>[1,2,3,2,6,3]
[2,3,4,4,1,3]=>[1,4,5,5,2,2]
[2,3,4,4,3,1]=>[1,2,3,3,4,2]
[2,4,1,3,3,4]=>[2,1,4,3,3,2]
[2,4,1,3,4,3]=>[2,1,6,3,2,3]
[2,4,1,4,3,3]=>[2,1,6,2,3,3]
[2,4,3,1,3,4]=>[2,1,3,4,3,2]
[2,4,3,1,4,3]=>[2,1,3,6,2,3]
[2,4,3,3,1,4]=>[4,1,5,5,2,2]
[2,4,3,3,4,1]=>[2,1,3,3,4,2]
[2,4,3,4,1,3]=>[4,1,5,2,5,2]
[2,4,3,4,3,1]=>[2,1,3,2,6,3]
[2,4,4,1,3,3]=>[4,1,2,5,5,2]
[2,4,4,3,1,3]=>[2,1,2,6,3,3]
[2,4,4,3,3,1]=>[2,1,2,3,6,3]
[3,1,2,3,4,4]=>[1,4,5,1,2,2]
[3,1,2,4,3,4]=>[1,3,5,2,1,2]
[3,1,2,4,4,3]=>[1,5,3,2,2,1]
[3,1,3,2,4,4]=>[3,6,1,4,4,1]
[3,1,3,4,2,4]=>[1,4,1,5,2,2]
[3,1,3,4,4,2]=>[1,6,1,2,5,2]
[3,1,4,2,3,4]=>[1,3,2,5,1,2]
[3,1,4,2,4,3]=>[1,5,2,3,2,1]
[3,1,4,3,2,4]=>[3,6,4,1,4,1]
[3,1,4,3,4,2]=>[1,6,2,1,5,2]
[3,1,4,4,2,3]=>[3,2,5,5,1,1]
[3,1,4,4,3,2]=>[1,6,2,2,3,1]
[3,2,1,3,4,4]=>[1,5,4,1,2,2]
[3,2,1,4,3,4]=>[1,5,3,2,1,2]
[3,2,1,4,4,3]=>[1,3,5,2,2,1]
[3,2,3,1,4,4]=>[3,6,1,4,1,4]
[3,2,3,4,1,4]=>[1,5,1,4,2,2]
[3,2,3,4,4,1]=>[1,6,1,2,2,5]
[3,2,4,1,3,4]=>[1,5,2,3,1,2]
[3,2,4,1,4,3]=>[1,3,2,5,2,1]
[3,2,4,3,1,4]=>[3,6,4,1,1,4]
[3,2,4,3,4,1]=>[1,6,2,1,2,5]
[3,2,4,4,1,3]=>[2,3,4,4,1,1]
[3,2,4,4,3,1]=>[1,6,2,2,1,3]
[3,3,1,2,4,4]=>[3,1,6,4,1,4]
[3,3,1,4,2,4]=>[3,1,4,6,1,4]
[3,3,1,4,4,2]=>[4,1,5,5,1,3]
[3,3,2,1,4,4]=>[3,1,6,4,4,1]
[3,3,2,4,1,4]=>[3,1,4,6,4,1]
[3,3,2,4,4,1]=>[4,1,5,5,3,1]
[3,3,4,1,2,4]=>[1,1,4,5,2,2]
[3,3,4,1,4,2]=>[1,1,6,2,5,2]
[3,3,4,2,1,4]=>[1,1,5,4,2,2]
[3,3,4,2,4,1]=>[1,1,6,2,2,5]
[3,3,4,4,1,2]=>[1,1,2,6,2,5]
[3,3,4,4,2,1]=>[1,1,2,6,5,2]
[3,4,1,2,3,4]=>[1,2,3,5,1,2]
[3,4,1,2,4,3]=>[1,2,5,3,2,1]
[3,4,1,3,2,4]=>[3,4,6,1,4,1]
[3,4,1,3,4,2]=>[1,2,6,1,5,2]
[3,4,1,4,2,3]=>[3,5,2,5,1,1]
[3,4,1,4,3,2]=>[1,2,6,2,3,1]
[3,4,2,1,3,4]=>[1,2,5,3,1,2]
[3,4,2,1,4,3]=>[1,2,3,5,2,1]
[3,4,2,3,1,4]=>[3,4,6,1,1,4]
[3,4,2,3,4,1]=>[1,2,6,1,2,5]
[3,4,2,4,1,3]=>[2,4,3,4,1,1]
[3,4,2,4,3,1]=>[1,2,6,2,1,3]
[3,4,3,1,2,4]=>[3,4,1,6,1,4]
[3,4,3,1,4,2]=>[4,5,1,5,1,3]
[3,4,3,2,1,4]=>[3,4,1,6,4,1]
[3,4,3,2,4,1]=>[4,5,1,5,3,1]
[3,4,3,4,1,2]=>[1,2,1,6,2,5]
[3,4,3,4,2,1]=>[1,2,1,6,5,2]
[3,4,4,1,2,3]=>[2,4,4,3,1,1]
[3,4,4,1,3,2]=>[4,5,5,1,3,1]
[3,4,4,2,1,3]=>[3,5,5,2,1,1]
[3,4,4,2,3,1]=>[4,5,5,1,1,3]
[3,4,4,3,1,2]=>[1,2,2,6,1,3]
[3,4,4,3,2,1]=>[1,2,2,6,3,1]
[4,1,2,3,3,4]=>[6,2,3,3,1,1]
[4,1,2,3,4,3]=>[2,6,3,1,3,1]
[4,1,2,4,3,3]=>[4,5,1,3,3,1]
[4,1,3,2,3,4]=>[6,3,2,3,1,1]
[4,1,3,2,4,3]=>[2,3,6,1,3,1]
[4,1,3,3,2,4]=>[4,3,3,2,1,1]
[4,1,3,3,4,2]=>[2,5,5,1,1,3]
[4,1,3,4,2,3]=>[6,4,1,4,1,3]
[4,1,3,4,3,2]=>[6,3,1,5,3,1]
[4,1,4,2,3,3]=>[6,1,4,4,1,3]
[4,1,4,3,2,3]=>[4,1,5,3,3,1]
[4,1,4,3,3,2]=>[6,1,3,5,3,1]
[4,2,1,3,3,4]=>[2,6,3,3,1,1]
[4,2,1,3,4,3]=>[6,2,3,1,3,1]
[4,2,1,4,3,3]=>[5,4,1,3,3,1]
[4,2,3,1,3,4]=>[2,3,6,3,1,1]
[4,2,3,1,4,3]=>[6,3,2,1,3,1]
[4,2,3,3,1,4]=>[4,3,3,1,2,1]
[4,2,3,3,4,1]=>[3,4,4,1,1,2]
[4,2,3,4,1,3]=>[6,4,1,1,4,3]
[4,2,3,4,3,1]=>[6,3,1,3,5,1]
[4,2,4,1,3,3]=>[6,1,4,1,4,3]
[4,2,4,3,1,3]=>[5,1,4,3,3,1]
[4,2,4,3,3,1]=>[6,1,3,3,5,1]
[4,3,1,2,3,4]=>[3,6,2,3,1,1]
[4,3,1,2,4,3]=>[3,2,6,1,3,1]
[4,3,1,3,2,4]=>[3,4,3,2,1,1]
[4,3,1,3,4,2]=>[5,2,5,1,1,3]
[4,3,1,4,2,3]=>[4,6,1,4,1,3]
[4,3,1,4,3,2]=>[3,6,1,5,3,1]
[4,3,2,1,3,4]=>[3,2,6,3,1,1]
[4,3,2,1,4,3]=>[3,6,2,1,3,1]
[4,3,2,3,1,4]=>[3,4,3,1,2,1]
[4,3,2,3,4,1]=>[4,3,4,1,1,2]
[4,3,2,4,1,3]=>[4,6,1,1,4,3]
[4,3,2,4,3,1]=>[3,6,1,3,5,1]
[4,3,3,1,2,4]=>[3,3,4,2,1,1]
[4,3,3,1,4,2]=>[5,5,2,1,1,3]
[4,3,3,2,1,4]=>[3,3,4,1,2,1]
[4,3,3,2,4,1]=>[4,4,3,1,1,2]
[4,3,3,4,1,2]=>[5,5,1,1,3,4]
[4,3,3,4,2,1]=>[5,5,1,3,1,4]
[4,3,4,1,2,3]=>[4,1,6,1,4,3]
[4,3,4,1,3,2]=>[5,1,5,1,3,4]
[4,3,4,2,1,3]=>[4,1,6,4,1,3]
[4,3,4,2,3,1]=>[5,1,5,3,1,4]
[4,3,4,3,1,2]=>[3,1,6,5,3,1]
[4,3,4,3,2,1]=>[3,1,6,3,5,1]
[4,4,1,2,3,3]=>[1,6,4,1,4,3]
[4,4,1,3,2,3]=>[1,4,6,1,4,3]
[4,4,1,3,3,2]=>[1,5,5,1,3,4]
[4,4,2,1,3,3]=>[1,6,4,4,1,3]
[4,4,2,3,1,3]=>[1,4,6,4,1,3]
[4,4,2,3,3,1]=>[1,5,5,3,1,4]
[4,4,3,1,2,3]=>[1,4,5,3,3,1]
[4,4,3,1,3,2]=>[1,6,3,5,3,1]
[4,4,3,2,1,3]=>[1,5,4,3,3,1]
[4,4,3,2,3,1]=>[1,6,3,3,5,1]
[4,4,3,3,1,2]=>[1,3,6,5,3,1]
[4,4,3,3,2,1]=>[1,3,6,3,5,1]
[1,2,3,3,4,5]=>[1,2,3,4,3,6]
[1,2,3,3,5,4]=>[1,2,4,3,3,6]
[1,2,3,4,3,5]=>[1,2,3,3,4,5]
[1,2,3,4,5,3]=>[1,2,4,3,6,3]
[1,2,3,5,3,4]=>[1,2,3,3,5,4]
[1,2,3,5,4,3]=>[1,2,3,4,6,3]
[1,2,4,3,3,5]=>[1,3,2,4,4,5]
[1,2,4,3,5,3]=>[1,3,2,4,5,4]
[1,2,4,5,3,3]=>[1,4,2,3,5,5]
[1,2,5,3,3,4]=>[1,3,4,2,4,5]
[1,2,5,3,4,3]=>[1,3,4,2,5,4]
[1,2,5,4,3,3]=>[1,4,3,2,5,5]
[1,3,2,3,4,5]=>[2,1,2,4,3,6]
[1,3,2,3,5,4]=>[2,1,4,2,3,6]
[1,3,2,4,3,5]=>[3,1,2,2,5,4]
[1,3,2,4,5,3]=>[5,1,3,2,6,2]
[1,3,2,5,3,4]=>[4,1,2,2,6,3]
[1,3,2,5,4,3]=>[5,1,2,3,6,2]
[1,3,3,2,4,5]=>[2,1,3,5,2,6]
[1,3,3,2,5,4]=>[2,1,5,3,2,6]
[1,3,3,4,2,5]=>[3,1,2,5,2,6]
[1,3,3,4,5,2]=>[5,1,2,3,2,6]
[1,3,3,5,2,4]=>[3,1,5,2,2,6]
[1,3,3,5,4,2]=>[5,1,3,2,2,6]
[1,3,4,2,3,5]=>[2,1,3,2,5,4]
[1,3,4,2,5,3]=>[3,1,5,2,6,2]
[1,3,4,3,2,5]=>[2,1,2,3,4,5]
[1,3,4,3,5,2]=>[4,1,2,2,3,6]
[1,3,4,5,2,3]=>[2,1,5,3,6,2]
[1,3,4,5,3,2]=>[2,1,4,2,6,3]
[1,3,5,2,3,4]=>[2,1,2,3,5,4]
[1,3,5,2,4,3]=>[3,1,2,5,6,2]
[1,3,5,3,2,4]=>[2,1,3,2,4,5]
[1,3,5,3,4,2]=>[3,1,2,2,4,5]
[1,3,5,4,2,3]=>[2,1,3,5,6,2]
[1,3,5,4,3,2]=>[2,1,2,4,6,3]
[1,4,2,3,3,5]=>[2,3,1,4,4,5]
[1,4,2,3,5,3]=>[2,3,1,4,5,4]
[1,4,2,5,3,3]=>[2,4,1,3,5,5]
[1,4,3,2,3,5]=>[3,2,1,3,4,5]
[1,4,3,2,5,3]=>[4,2,1,3,6,3]
[1,4,3,3,2,5]=>[3,2,1,4,3,6]
[1,4,3,3,5,2]=>[4,2,1,3,3,6]
[1,4,3,5,2,3]=>[3,2,1,4,6,3]
[1,4,3,5,3,2]=>[3,2,1,3,5,4]
[1,4,5,2,3,3]=>[3,4,1,2,5,5]
[1,4,5,3,2,3]=>[4,3,1,2,5,4]
[1,4,5,3,3,2]=>[4,3,1,2,4,5]
[1,5,2,3,3,4]=>[2,3,4,1,4,5]
[1,5,2,3,4,3]=>[2,3,4,1,5,4]
[1,5,2,4,3,3]=>[2,4,3,1,5,5]
[1,5,3,2,3,4]=>[3,2,3,1,4,5]
[1,5,3,2,4,3]=>[4,2,3,1,6,3]
[1,5,3,3,2,4]=>[3,2,4,1,3,6]
[1,5,3,3,4,2]=>[4,2,3,1,3,6]
[1,5,3,4,2,3]=>[3,2,4,1,6,3]
[1,5,3,4,3,2]=>[3,2,3,1,5,4]
[1,5,4,2,3,3]=>[3,4,2,1,5,5]
[1,5,4,3,2,3]=>[4,3,2,1,5,4]
[1,5,4,3,3,2]=>[4,3,2,1,4,5]
[2,1,3,3,4,5]=>[4,3,2,5,5,1]
[2,1,3,3,5,4]=>[4,2,3,5,5,1]
[2,1,3,4,3,5]=>[3,4,2,4,5,1]
[2,1,3,4,5,3]=>[2,4,3,3,6,1]
[2,1,3,5,3,4]=>[3,2,4,4,5,1]
[2,1,3,5,4,3]=>[2,3,4,3,6,1]
[2,1,4,3,3,5]=>[3,4,2,5,4,1]
[2,1,4,3,5,3]=>[2,3,3,4,5,1]
[2,1,4,5,3,3]=>[2,4,3,6,3,1]
[2,1,5,3,3,4]=>[3,2,4,5,4,1]
[2,1,5,3,4,3]=>[2,3,3,5,4,1]
[2,1,5,4,3,3]=>[2,3,4,6,3,1]
[2,3,1,3,4,5]=>[1,2,3,6,2,5]
[2,3,1,3,5,4]=>[1,3,2,6,2,5]
[2,3,1,4,3,5]=>[1,2,2,6,3,4]
[2,3,1,4,5,3]=>[1,3,2,4,5,2]
[2,3,1,5,3,4]=>[1,2,2,5,4,3]
[2,3,1,5,4,3]=>[1,2,3,4,5,2]
[2,3,3,1,4,5]=>[1,5,4,2,6,2]
[2,3,3,1,5,4]=>[1,4,5,2,6,2]
[2,3,3,4,1,5]=>[1,2,5,2,6,3]
[2,3,3,4,5,1]=>[1,2,3,2,6,5]
[2,3,3,5,1,4]=>[1,5,2,2,6,3]
[2,3,3,5,4,1]=>[1,3,2,2,6,5]
[2,3,4,1,3,5]=>[1,5,2,6,2,3]
[2,3,4,1,5,3]=>[1,4,2,6,3,2]
[2,3,4,3,1,5]=>[1,2,4,3,6,2]
[2,3,4,3,5,1]=>[1,2,2,3,6,4]
[2,3,4,5,1,3]=>[1,5,4,6,2,2]
[2,3,4,5,3,1]=>[1,3,2,5,4,2]
[2,3,5,1,3,4]=>[1,2,5,6,2,3]
[2,3,5,1,4,3]=>[1,2,4,6,3,2]
[2,3,5,3,1,4]=>[1,4,2,3,6,2]
[2,3,5,3,4,1]=>[1,2,2,4,5,3]
[2,3,5,4,1,3]=>[1,4,5,6,2,2]
[2,3,5,4,3,1]=>[1,2,3,5,4,2]
[2,4,1,3,3,5]=>[4,1,3,5,5,2]
[2,4,1,3,5,3]=>[3,1,4,4,5,2]
[2,4,1,5,3,3]=>[3,1,4,5,4,2]
[2,4,3,1,3,5]=>[2,1,3,6,3,4]
[2,4,3,1,5,3]=>[2,1,3,5,4,3]
[2,4,3,3,1,5]=>[2,1,5,3,6,3]
[2,4,3,3,5,1]=>[2,1,3,3,6,4]
[2,4,3,5,1,3]=>[2,1,5,6,3,3]
[2,4,3,5,3,1]=>[2,1,3,4,5,3]
[2,4,5,1,3,3]=>[4,1,2,5,5,3]
[2,4,5,3,1,3]=>[3,1,2,6,4,4]
[2,4,5,3,3,1]=>[3,1,2,4,6,4]
[2,5,1,3,3,4]=>[4,3,1,5,5,2]
[2,5,1,3,4,3]=>[3,4,1,4,5,2]
[2,5,1,4,3,3]=>[3,4,1,5,4,2]
[2,5,3,1,3,4]=>[2,3,1,6,3,4]
[2,5,3,1,4,3]=>[2,3,1,5,4,3]
[2,5,3,3,1,4]=>[2,5,1,3,6,3]
[2,5,3,3,4,1]=>[2,3,1,3,6,4]
[2,5,3,4,1,3]=>[2,5,1,6,3,3]
[2,5,3,4,3,1]=>[2,3,1,4,5,3]
[2,5,4,1,3,3]=>[4,2,1,5,5,3]
[2,5,4,3,1,3]=>[3,2,1,6,4,4]
[2,5,4,3,3,1]=>[3,2,1,4,6,4]
[3,1,2,3,4,5]=>[1,2,3,6,1,4]
[3,1,2,3,5,4]=>[2,1,3,6,1,4]
[3,1,2,4,3,5]=>[1,1,4,5,2,3]
[3,1,2,4,5,3]=>[2,1,6,3,4,1]
[3,1,2,5,3,4]=>[1,1,5,4,3,2]
[3,1,2,5,4,3]=>[1,2,6,3,4,1]
[3,1,3,2,4,5]=>[4,3,6,1,5,1]
[3,1,3,2,5,4]=>[3,4,6,1,5,1]
[3,1,3,4,2,5]=>[1,4,6,1,5,2]
[3,1,3,4,5,2]=>[1,2,6,1,5,4]
[3,1,3,5,2,4]=>[4,1,6,1,5,2]
[3,1,3,5,4,2]=>[2,1,6,1,5,4]
[3,1,4,2,3,5]=>[4,1,3,6,1,2]
[3,1,4,2,5,3]=>[3,1,4,5,2,1]
[3,1,4,3,2,5]=>[1,3,6,2,5,1]
[3,1,4,3,5,2]=>[1,1,6,2,5,3]
[3,1,4,5,2,3]=>[5,3,2,6,1,1]
[3,1,4,5,3,2]=>[2,1,5,4,3,1]
[3,1,5,2,3,4]=>[1,4,3,6,1,2]
[3,1,5,2,4,3]=>[1,3,4,5,2,1]
[3,1,5,3,2,4]=>[3,1,6,2,5,1]
[3,1,5,3,4,2]=>[1,1,6,3,4,2]
[3,1,5,4,2,3]=>[3,5,2,6,1,1]
[3,1,5,4,3,2]=>[1,2,5,4,3,1]
[3,2,1,3,4,5]=>[1,2,6,3,1,4]
[3,2,1,3,5,4]=>[2,1,6,3,1,4]
[3,2,1,4,3,5]=>[1,1,5,4,2,3]
[3,2,1,4,5,3]=>[2,1,3,6,4,1]
[3,2,1,5,3,4]=>[1,1,4,5,3,2]
[3,2,1,5,4,3]=>[1,2,3,6,4,1]
[3,2,3,1,4,5]=>[3,4,6,1,1,5]
[3,2,3,1,5,4]=>[4,3,6,1,1,5]
[3,2,3,4,1,5]=>[1,4,6,1,2,5]
[3,2,3,4,5,1]=>[1,2,6,1,4,5]
[3,2,3,5,1,4]=>[4,1,6,1,2,5]
[3,2,3,5,4,1]=>[2,1,6,1,4,5]
[3,2,4,1,3,5]=>[3,1,4,5,1,2]
[3,2,4,1,5,3]=>[4,1,3,6,2,1]
[3,2,4,3,1,5]=>[1,3,6,2,1,5]
[3,2,4,3,5,1]=>[1,1,6,2,3,5]
[3,2,4,5,1,3]=>[4,2,3,6,1,1]
[3,2,4,5,3,1]=>[2,1,5,4,1,3]
[3,2,5,1,3,4]=>[1,3,4,5,1,2]
[3,2,5,1,4,3]=>[1,4,3,6,2,1]
[3,2,5,3,1,4]=>[3,1,6,2,1,5]
[3,2,5,3,4,1]=>[1,1,6,3,2,4]
[3,2,5,4,1,3]=>[2,4,3,6,1,1]
[3,2,5,4,3,1]=>[1,2,5,4,1,3]
[3,3,1,2,4,5]=>[3,4,1,6,1,5]
[3,3,1,2,5,4]=>[4,3,1,6,1,5]
[3,3,1,4,2,5]=>[5,3,1,6,1,4]
[3,3,1,4,5,2]=>[5,4,1,6,1,3]
[3,3,1,5,2,4]=>[3,5,1,6,1,4]
[3,3,1,5,4,2]=>[4,5,1,6,1,3]
[3,3,2,1,4,5]=>[4,3,1,6,5,1]
[3,3,2,1,5,4]=>[3,4,1,6,5,1]
[3,3,2,4,1,5]=>[5,3,1,6,4,1]
[3,3,2,4,5,1]=>[5,4,1,6,3,1]
[3,3,2,5,1,4]=>[3,5,1,6,4,1]
[3,3,2,5,4,1]=>[4,5,1,6,3,1]
[3,3,4,1,2,5]=>[1,4,1,6,2,5]
[3,3,4,1,5,2]=>[1,5,1,6,2,4]
[3,3,4,2,1,5]=>[1,4,1,6,5,2]
[3,3,4,2,5,1]=>[1,5,1,6,4,2]
[3,3,4,5,1,2]=>[1,2,1,6,4,5]
[3,3,4,5,2,1]=>[1,2,1,6,5,4]
[3,3,5,1,2,4]=>[4,1,1,6,2,5]
[3,3,5,1,4,2]=>[5,1,1,6,2,4]
[3,3,5,2,1,4]=>[4,1,1,6,5,2]
[3,3,5,2,4,1]=>[5,1,1,6,4,2]
[3,3,5,4,1,2]=>[2,1,1,6,4,5]
[3,3,5,4,2,1]=>[2,1,1,6,5,4]
[3,4,1,2,3,5]=>[3,1,5,4,1,2]
[3,4,1,2,5,3]=>[4,1,6,3,2,1]
[3,4,1,3,2,5]=>[5,3,6,1,4,1]
[3,4,1,3,5,2]=>[5,1,6,1,4,2]
[3,4,1,5,2,3]=>[2,3,4,5,1,1]
[3,4,1,5,3,2]=>[5,1,6,2,3,1]
[3,4,2,1,3,5]=>[4,1,6,3,1,2]
[3,4,2,1,5,3]=>[3,1,5,4,2,1]
[3,4,2,3,1,5]=>[5,3,6,1,1,4]
[3,4,2,3,5,1]=>[5,1,6,1,2,4]
[3,4,2,5,1,3]=>[3,2,5,4,1,1]
[3,4,2,5,3,1]=>[5,1,6,2,1,3]
[3,4,3,1,2,5]=>[1,3,2,6,1,5]
[3,4,3,1,5,2]=>[1,5,2,6,1,3]
[3,4,3,2,1,5]=>[1,3,2,6,5,1]
[3,4,3,2,5,1]=>[1,5,2,6,3,1]
[3,4,3,5,1,2]=>[1,1,2,6,3,5]
[3,4,3,5,2,1]=>[1,1,2,6,5,3]
[3,4,5,1,2,3]=>[4,2,6,3,1,1]
[3,4,5,1,3,2]=>[5,4,6,1,3,1]
[3,4,5,2,1,3]=>[5,3,6,2,1,1]
[3,4,5,2,3,1]=>[5,4,6,1,1,3]
[3,4,5,3,1,2]=>[2,1,4,5,1,3]
[3,4,5,3,2,1]=>[2,1,4,5,3,1]
[3,5,1,2,3,4]=>[1,3,5,4,1,2]
[3,5,1,2,4,3]=>[1,4,6,3,2,1]
[3,5,1,3,2,4]=>[3,5,6,1,4,1]
[3,5,1,3,4,2]=>[1,5,6,1,4,2]
[3,5,1,4,2,3]=>[3,2,4,5,1,1]
[3,5,1,4,3,2]=>[1,5,6,2,3,1]
[3,5,2,1,3,4]=>[1,4,6,3,1,2]
[3,5,2,1,4,3]=>[1,3,5,4,2,1]
[3,5,2,3,1,4]=>[3,5,6,1,1,4]
[3,5,2,3,4,1]=>[1,5,6,1,2,4]
[3,5,2,4,1,3]=>[2,3,5,4,1,1]
[3,5,2,4,3,1]=>[1,5,6,2,1,3]
[3,5,3,1,2,4]=>[3,1,2,6,1,5]
[3,5,3,1,4,2]=>[5,1,2,6,1,3]
[3,5,3,2,1,4]=>[3,1,2,6,5,1]
[3,5,3,2,4,1]=>[5,1,2,6,3,1]
[3,5,3,4,1,2]=>[1,1,3,6,2,4]
[3,5,3,4,2,1]=>[1,1,3,6,4,2]
[3,5,4,1,2,3]=>[2,4,6,3,1,1]
[3,5,4,1,3,2]=>[4,5,6,1,3,1]
[3,5,4,2,1,3]=>[3,5,6,2,1,1]
[3,5,4,2,3,1]=>[4,5,6,1,1,3]
[3,5,4,3,1,2]=>[1,2,4,5,1,3]
[3,5,4,3,2,1]=>[1,2,4,5,3,1]
[4,1,2,3,3,5]=>[3,6,3,1,4,2]
[4,1,2,3,5,3]=>[2,6,4,1,4,3]
[4,1,2,5,3,3]=>[3,5,4,1,3,2]
[4,1,3,2,3,5]=>[3,3,6,1,4,2]
[4,1,3,2,5,3]=>[2,4,6,1,4,3]
[4,1,3,3,2,5]=>[3,5,5,1,2,4]
[4,1,3,3,5,2]=>[2,5,5,1,3,4]
[4,1,3,5,2,3]=>[5,3,6,1,3,2]
[4,1,3,5,3,2]=>[4,4,5,1,2,3]
[4,1,5,2,3,3]=>[5,6,3,1,3,2]
[4,1,5,3,2,3]=>[3,4,5,1,3,2]
[4,1,5,3,3,2]=>[4,5,4,1,2,3]
[4,2,1,3,3,5]=>[2,6,4,4,1,3]
[4,2,1,3,5,3]=>[3,6,3,4,1,2]
[4,2,1,5,3,3]=>[3,5,4,3,1,2]
[4,2,3,1,3,5]=>[2,4,6,4,1,3]
[4,2,3,1,5,3]=>[3,3,6,4,1,2]
[4,2,3,3,1,5]=>[3,5,5,2,1,4]
[4,2,3,3,5,1]=>[2,5,5,3,1,4]
[4,2,3,5,1,3]=>[5,3,6,3,1,2]
[4,2,3,5,3,1]=>[4,4,5,2,1,3]
[4,2,5,1,3,3]=>[5,6,3,3,1,2]
[4,2,5,3,1,3]=>[3,4,5,3,1,2]
[4,2,5,3,3,1]=>[4,5,4,2,1,3]
[4,3,1,2,3,5]=>[2,4,5,2,3,1]
[4,3,1,2,5,3]=>[2,5,4,3,2,1]
[4,3,1,3,2,5]=>[2,6,2,5,3,1]
[4,3,1,3,5,2]=>[4,6,2,5,2,1]
[4,3,1,5,2,3]=>[4,3,6,2,2,1]
[4,3,1,5,3,2]=>[2,6,3,4,2,1]
[4,3,2,1,3,5]=>[2,5,4,2,3,1]
[4,3,2,1,5,3]=>[2,4,5,3,2,1]
[4,3,2,3,1,5]=>[2,6,2,3,5,1]
[4,3,2,3,5,1]=>[4,6,2,2,5,1]
[4,3,2,5,1,3]=>[3,4,5,2,2,1]
[4,3,2,5,3,1]=>[2,6,3,2,4,1]
[4,3,3,1,2,5]=>[2,2,6,5,3,1]
[4,3,3,1,5,2]=>[4,2,6,5,2,1]
[4,3,3,2,1,5]=>[2,2,6,3,5,1]
[4,3,3,2,5,1]=>[4,2,6,2,5,1]
[4,3,3,5,1,2]=>[5,2,6,4,2,1]
[4,3,3,5,2,1]=>[5,2,6,2,4,1]
[4,3,5,1,2,3]=>[3,5,4,2,2,1]
[4,3,5,1,3,2]=>[5,6,2,4,2,1]
[4,3,5,2,1,3]=>[4,6,3,2,2,1]
[4,3,5,2,3,1]=>[5,6,2,2,4,1]
[4,3,5,3,1,2]=>[2,3,6,4,2,1]
[4,3,5,3,2,1]=>[2,3,6,2,4,1]
[4,5,1,2,3,3]=>[1,6,4,2,4,3]
[4,5,1,3,2,3]=>[1,4,6,2,4,3]
[4,5,1,3,3,2]=>[1,5,5,2,3,4]
[4,5,2,1,3,3]=>[1,6,4,4,2,3]
[4,5,2,3,1,3]=>[1,4,6,4,2,3]
[4,5,2,3,3,1]=>[1,5,5,3,2,4]
[4,5,3,1,2,3]=>[1,4,5,3,3,2]
[4,5,3,1,3,2]=>[1,6,3,5,3,2]
[4,5,3,2,1,3]=>[1,5,4,3,3,2]
[4,5,3,2,3,1]=>[1,6,3,3,5,2]
[4,5,3,3,1,2]=>[1,3,6,5,3,2]
[4,5,3,3,2,1]=>[1,3,6,3,5,2]
[5,1,2,3,3,4]=>[6,3,1,5,2,3]
[5,1,2,3,4,3]=>[6,4,1,4,3,2]
[5,1,2,4,3,3]=>[4,5,1,3,2,3]
[5,1,3,2,3,4]=>[3,6,1,5,2,3]
[5,1,3,2,4,3]=>[4,6,1,4,3,2]
[5,1,3,3,2,4]=>[5,5,1,2,4,3]
[5,1,3,3,4,2]=>[5,5,1,3,4,2]
[5,1,3,4,2,3]=>[4,6,1,2,3,4]
[5,1,3,4,3,2]=>[3,6,1,3,2,5]
[5,1,4,2,3,3]=>[5,4,1,3,2,3]
[5,1,4,3,2,3]=>[6,4,1,2,3,4]
[5,1,4,3,3,2]=>[6,3,1,3,2,5]
[5,2,1,3,3,4]=>[6,4,4,1,3,2]
[5,2,1,3,4,3]=>[6,3,5,1,2,3]
[5,2,1,4,3,3]=>[4,5,3,1,2,3]
[5,2,3,1,3,4]=>[4,6,4,1,3,2]
[5,2,3,1,4,3]=>[3,6,5,1,2,3]
[5,2,3,3,1,4]=>[5,5,2,1,4,3]
[5,2,3,3,4,1]=>[5,5,3,1,4,2]
[5,2,3,4,1,3]=>[4,6,2,1,3,4]
[5,2,3,4,3,1]=>[3,6,3,1,2,5]
[5,2,4,1,3,3]=>[5,4,3,1,2,3]
[5,2,4,3,1,3]=>[6,4,2,1,3,4]
[5,2,4,3,3,1]=>[6,3,3,1,2,5]
[5,3,1,2,3,4]=>[3,6,2,4,1,2]
[5,3,1,2,4,3]=>[6,3,4,2,1,2]
[5,3,1,3,2,4]=>[6,2,5,4,1,2]
[5,3,1,3,4,2]=>[6,2,5,2,1,4]
[5,3,1,4,2,3]=>[5,4,3,2,1,2]
[5,3,1,4,3,2]=>[3,6,2,2,1,4]
[5,3,2,1,3,4]=>[6,3,2,4,1,2]
[5,3,2,1,4,3]=>[3,6,4,2,1,2]
[5,3,2,3,1,4]=>[6,2,4,5,1,2]
[5,3,2,3,4,1]=>[6,2,2,5,1,4]
[5,3,2,4,1,3]=>[5,4,2,3,1,2]
[5,3,2,4,3,1]=>[4,5,2,2,1,3]
[5,3,3,1,2,4]=>[2,6,5,4,1,2]
[5,3,3,1,4,2]=>[2,6,5,2,1,4]
[5,3,3,2,1,4]=>[2,6,4,5,1,2]
[5,3,3,2,4,1]=>[2,6,2,5,1,4]
[5,3,3,4,1,2]=>[2,6,2,4,1,5]
[5,3,3,4,2,1]=>[2,6,4,2,1,5]
[5,3,4,1,2,3]=>[4,5,3,2,1,2]
[5,3,4,1,3,2]=>[6,3,2,2,1,4]
[5,3,4,2,1,3]=>[4,5,2,3,1,2]
[5,3,4,2,3,1]=>[5,4,2,2,1,3]
[5,3,4,3,1,2]=>[6,2,2,4,1,5]
[5,3,4,3,2,1]=>[6,2,4,2,1,5]
[5,4,1,2,3,3]=>[4,5,3,3,2,1]
[5,4,1,3,2,3]=>[6,3,5,3,2,1]
[5,4,1,3,3,2]=>[6,4,4,2,3,1]
[5,4,2,1,3,3]=>[5,4,3,3,2,1]
[5,4,2,3,1,3]=>[6,3,3,5,2,1]
[5,4,2,3,3,1]=>[6,4,2,4,3,1]
[5,4,3,1,2,3]=>[3,6,5,3,2,1]
[5,4,3,1,3,2]=>[4,6,4,2,3,1]
[5,4,3,2,1,3]=>[3,6,3,5,2,1]
[5,4,3,2,3,1]=>[4,6,2,4,3,1]
[5,4,3,3,1,2]=>[5,5,3,2,4,1]
[5,4,3,3,2,1]=>[5,5,2,3,4,1]
[1,2,3,3,4,6]=>[1,2,3,3,4,6]
[1,2,3,3,6,4]=>[1,2,5,3,3,6]
[1,2,3,4,3,6]=>[1,2,3,4,3,5]
[1,2,3,4,6,3]=>[1,2,4,6,3,3]
[1,2,3,6,3,4]=>[1,2,3,5,3,4]
[1,2,3,6,4,3]=>[1,2,3,6,4,3]
[1,2,4,3,3,6]=>[1,3,2,4,4,6]
[1,2,4,3,6,3]=>[1,3,2,5,4,4]
[1,2,4,6,3,3]=>[1,4,2,5,3,5]
[1,2,6,3,3,4]=>[1,3,4,4,2,5]
[1,2,6,3,4,3]=>[1,4,3,5,2,5]
[1,2,6,4,3,3]=>[1,3,4,5,2,4]
[1,3,2,3,4,6]=>[2,1,2,3,4,6]
[1,3,2,3,6,4]=>[2,1,4,3,2,6]
[1,3,2,4,3,6]=>[3,1,2,5,2,4]
[1,3,2,4,6,3]=>[5,1,3,6,2,2]
[1,3,2,6,3,4]=>[4,1,2,6,2,3]
[1,3,2,6,4,3]=>[5,1,2,6,3,2]
[1,3,3,2,4,6]=>[2,1,3,2,5,6]
[1,3,3,2,6,4]=>[2,1,5,2,3,6]
[1,3,3,4,2,6]=>[3,1,2,2,5,6]
[1,3,3,4,6,2]=>[5,1,2,2,3,6]
[1,3,3,6,2,4]=>[4,1,5,2,2,6]
[1,3,3,6,4,2]=>[5,1,4,2,2,6]
[1,3,4,2,3,6]=>[2,1,3,5,2,4]
[1,3,4,2,6,3]=>[3,1,5,6,2,2]
[1,3,4,3,2,6]=>[2,1,2,4,3,5]
[1,3,4,3,6,2]=>[4,1,2,3,2,6]
[1,3,4,6,2,3]=>[2,1,5,6,3,2]
[1,3,4,6,3,2]=>[2,1,4,6,2,3]
[1,3,6,2,3,4]=>[2,1,2,5,3,4]
[1,3,6,2,4,3]=>[3,1,2,6,5,2]
[1,3,6,3,2,4]=>[2,1,3,4,2,5]
[1,3,6,3,4,2]=>[3,1,2,4,2,5]
[1,3,6,4,2,3]=>[2,1,3,6,5,2]
[1,3,6,4,3,2]=>[2,1,2,6,4,3]
[1,4,2,3,3,6]=>[2,3,1,4,4,6]
[1,4,2,3,6,3]=>[2,3,1,5,4,4]
[1,4,2,6,3,3]=>[2,4,1,5,3,5]
[1,4,3,2,3,6]=>[3,2,1,4,3,5]
[1,4,3,2,6,3]=>[4,2,1,6,3,3]
[1,4,3,3,2,6]=>[3,2,1,3,4,6]
[1,4,3,3,6,2]=>[5,2,1,3,3,6]
[1,4,3,6,2,3]=>[3,2,1,6,4,3]
[1,4,3,6,3,2]=>[3,2,1,5,3,4]
[1,4,6,2,3,3]=>[4,3,1,5,2,4]
[1,4,6,3,2,3]=>[3,4,1,5,2,5]
[1,4,6,3,3,2]=>[4,3,1,4,2,5]
[1,6,2,3,3,4]=>[3,2,3,4,1,5]
[1,6,2,3,4,3]=>[4,3,2,5,1,4]
[1,6,2,4,3,3]=>[4,2,3,6,1,3]
[1,6,3,2,3,4]=>[2,3,4,4,1,5]
[1,6,3,2,4,3]=>[2,4,3,5,1,5]
[1,6,3,3,2,4]=>[3,2,4,3,1,6]
[1,6,3,3,4,2]=>[4,2,3,3,1,6]
[1,6,3,4,2,3]=>[3,4,2,5,1,5]
[1,6,3,4,3,2]=>[4,3,2,4,1,5]
[1,6,4,2,3,3]=>[3,2,4,6,1,3]
[1,6,4,3,2,3]=>[2,3,4,5,1,4]
[1,6,4,3,3,2]=>[3,2,3,5,1,4]
[2,1,3,3,4,6]=>[4,3,5,2,5,1]
[2,1,3,3,6,4]=>[4,2,5,3,5,1]
[2,1,3,4,3,6]=>[3,4,4,2,5,1]
[2,1,3,4,6,3]=>[2,5,3,3,6,1]
[2,1,3,6,3,4]=>[3,2,4,4,6,1]
[2,1,3,6,4,3]=>[2,3,3,4,6,1]
[2,1,4,3,3,6]=>[3,4,5,2,4,1]
[2,1,4,3,6,3]=>[2,3,4,3,5,1]
[2,1,4,6,3,3]=>[2,4,6,3,3,1]
[2,1,6,3,3,4]=>[3,2,5,4,4,1]
[2,1,6,3,4,3]=>[2,3,5,3,4,1]
[2,1,6,4,3,3]=>[2,3,6,4,3,1]
[2,3,1,3,4,6]=>[1,2,6,3,2,5]
[2,3,1,3,6,4]=>[1,3,6,2,2,5]
[2,3,1,4,3,6]=>[1,2,6,2,3,4]
[2,3,1,4,6,3]=>[1,3,4,2,5,2]
[2,3,1,6,3,4]=>[1,2,5,2,4,3]
[2,3,1,6,4,3]=>[1,2,4,3,5,2]
[2,3,3,1,4,6]=>[1,5,2,4,6,2]
[2,3,3,1,6,4]=>[1,4,2,5,6,2]
[2,3,3,4,1,6]=>[1,2,2,5,6,3]
[2,3,3,4,6,1]=>[1,2,2,3,6,5]
[2,3,3,6,1,4]=>[1,5,2,2,6,4]
[2,3,3,6,4,1]=>[1,4,2,2,6,5]
[2,3,4,1,3,6]=>[1,5,6,2,2,3]
[2,3,4,1,6,3]=>[1,4,6,2,3,2]
[2,3,4,3,1,6]=>[1,2,3,4,6,2]
[2,3,4,3,6,1]=>[1,2,3,2,6,4]
[2,3,4,6,1,3]=>[1,5,6,4,2,2]
[2,3,4,6,3,1]=>[1,3,5,2,4,2]
[2,3,6,1,3,4]=>[1,2,6,5,2,3]
[2,3,6,1,4,3]=>[1,2,6,4,3,2]
[2,3,6,3,1,4]=>[1,4,3,2,6,2]
[2,3,6,3,4,1]=>[1,2,4,2,5,3]
[2,3,6,4,1,3]=>[1,4,6,5,2,2]
[2,3,6,4,3,1]=>[1,2,5,3,4,2]
[2,4,1,3,3,6]=>[4,1,5,3,5,2]
[2,4,1,3,6,3]=>[3,1,4,4,6,2]
[2,4,1,6,3,3]=>[3,1,5,4,4,2]
[2,4,3,1,3,6]=>[2,1,6,3,3,4]
[2,4,3,1,6,3]=>[2,1,5,3,4,3]
[2,4,3,3,1,6]=>[2,1,3,5,6,3]
[2,4,3,3,6,1]=>[2,1,3,3,6,5]
[2,4,3,6,1,3]=>[2,1,6,5,3,3]
[2,4,3,6,3,1]=>[2,1,4,3,5,3]
[2,4,6,1,3,3]=>[3,1,6,2,4,4]
[2,4,6,3,1,3]=>[4,1,5,2,5,3]
[2,4,6,3,3,1]=>[3,1,4,2,6,4]
[2,6,1,3,3,4]=>[2,3,6,1,3,4]
[2,6,1,3,4,3]=>[2,3,5,1,4,3]
[2,6,1,4,3,3]=>[3,2,6,1,4,4]
[2,6,3,1,3,4]=>[4,3,5,1,5,2]
[2,6,3,1,4,3]=>[3,4,4,1,5,2]
[2,6,3,3,1,4]=>[2,5,3,1,6,3]
[2,6,3,3,4,1]=>[2,3,3,1,6,4]
[2,6,3,4,1,3]=>[4,2,5,1,5,3]
[2,6,3,4,3,1]=>[3,2,4,1,6,4]
[2,6,4,1,3,3]=>[2,5,6,1,3,3]
[2,6,4,3,1,3]=>[3,4,5,1,4,2]
[2,6,4,3,3,1]=>[2,3,4,1,5,3]
[3,1,2,3,4,6]=>[1,3,2,6,1,4]
[3,1,2,3,6,4]=>[2,3,1,6,1,4]
[3,1,2,4,3,6]=>[1,4,1,5,2,3]
[3,1,2,4,6,3]=>[2,6,1,3,4,1]
[3,1,2,6,3,4]=>[1,5,1,4,3,2]
[3,1,2,6,4,3]=>[1,6,2,3,4,1]
[3,1,3,2,4,6]=>[4,6,3,1,5,1]
[3,1,3,2,6,4]=>[3,6,4,1,5,1]
[3,1,3,4,2,6]=>[1,6,4,1,5,2]
[3,1,3,4,6,2]=>[1,6,2,1,5,4]
[3,1,3,6,2,4]=>[4,6,1,1,5,2]
[3,1,3,6,4,2]=>[2,6,1,1,5,4]
[3,1,4,2,3,6]=>[4,3,1,6,1,2]
[3,1,4,2,6,3]=>[3,4,1,5,2,1]
[3,1,4,3,2,6]=>[1,6,3,2,5,1]
[3,1,4,3,6,2]=>[1,6,1,2,5,3]
[3,1,4,6,2,3]=>[5,2,3,6,1,1]
[3,1,4,6,3,2]=>[2,5,1,4,3,1]
[3,1,6,2,3,4]=>[1,3,4,6,1,2]
[3,1,6,2,4,3]=>[1,4,3,5,2,1]
[3,1,6,3,2,4]=>[3,6,1,2,5,1]
[3,1,6,3,4,2]=>[1,6,1,3,4,2]
[3,1,6,4,2,3]=>[3,2,5,6,1,1]
[3,1,6,4,3,2]=>[1,5,2,4,3,1]
[3,2,1,3,4,6]=>[1,6,2,3,1,4]
[3,2,1,3,6,4]=>[2,6,1,3,1,4]
[3,2,1,4,3,6]=>[1,5,1,4,2,3]
[3,2,1,4,6,3]=>[2,3,1,6,4,1]
[3,2,1,6,3,4]=>[1,4,1,5,3,2]
[3,2,1,6,4,3]=>[1,3,2,6,4,1]
[3,2,3,1,4,6]=>[3,6,4,1,1,5]
[3,2,3,1,6,4]=>[4,6,3,1,1,5]
[3,2,3,4,1,6]=>[1,6,4,1,2,5]
[3,2,3,4,6,1]=>[1,6,2,1,4,5]
[3,2,3,6,1,4]=>[4,6,1,1,2,5]
[3,2,3,6,4,1]=>[2,6,1,1,4,5]
[3,2,4,1,3,6]=>[3,4,1,5,1,2]
[3,2,4,1,6,3]=>[4,3,1,6,2,1]
[3,2,4,3,1,6]=>[1,6,3,2,1,5]
[3,2,4,3,6,1]=>[1,6,1,2,3,5]
[3,2,4,6,1,3]=>[4,3,2,6,1,1]
[3,2,4,6,3,1]=>[2,5,1,4,1,3]
[3,2,6,1,3,4]=>[1,4,3,5,1,2]
[3,2,6,1,4,3]=>[1,3,4,6,2,1]
[3,2,6,3,1,4]=>[3,6,1,2,1,5]
[3,2,6,3,4,1]=>[1,6,1,3,2,4]
[3,2,6,4,1,3]=>[2,3,4,6,1,1]
[3,2,6,4,3,1]=>[1,5,2,4,1,3]
[3,3,1,2,4,6]=>[3,1,4,6,1,5]
[3,3,1,2,6,4]=>[4,1,3,6,1,5]
[3,3,1,4,2,6]=>[5,1,3,6,1,4]
[3,3,1,4,6,2]=>[5,1,4,6,1,3]
[3,3,1,6,2,4]=>[3,1,5,6,1,4]
[3,3,1,6,4,2]=>[4,1,5,6,1,3]
[3,3,2,1,4,6]=>[4,1,3,6,5,1]
[3,3,2,1,6,4]=>[3,1,4,6,5,1]
[3,3,2,4,1,6]=>[5,1,3,6,4,1]
[3,3,2,4,6,1]=>[5,1,4,6,3,1]
[3,3,2,6,1,4]=>[3,1,5,6,4,1]
[3,3,2,6,4,1]=>[4,1,5,6,3,1]
[3,3,4,1,2,6]=>[1,1,4,6,2,5]
[3,3,4,1,6,2]=>[1,1,5,6,2,4]
[3,3,4,2,1,6]=>[1,1,4,6,5,2]
[3,3,4,2,6,1]=>[1,1,5,6,4,2]
[3,3,4,6,1,2]=>[1,1,2,6,4,5]
[3,3,4,6,2,1]=>[1,1,2,6,5,4]
[3,3,6,1,2,4]=>[4,1,1,6,3,5]
[3,3,6,1,4,2]=>[5,1,1,6,3,4]
[3,3,6,2,1,4]=>[4,1,1,6,5,3]
[3,3,6,2,4,1]=>[5,1,1,6,4,3]
[3,3,6,4,1,2]=>[3,1,1,6,4,5]
[3,3,6,4,2,1]=>[3,1,1,6,5,4]
[3,4,1,2,3,6]=>[3,5,1,4,1,2]
[3,4,1,2,6,3]=>[4,6,1,3,2,1]
[3,4,1,3,2,6]=>[5,6,3,1,4,1]
[3,4,1,3,6,2]=>[5,6,1,1,4,2]
[3,4,1,6,2,3]=>[2,4,3,5,1,1]
[3,4,1,6,3,2]=>[5,6,1,2,3,1]
[3,4,2,1,3,6]=>[4,6,1,3,1,2]
[3,4,2,1,6,3]=>[3,5,1,4,2,1]
[3,4,2,3,1,6]=>[5,6,3,1,1,4]
[3,4,2,3,6,1]=>[5,6,1,1,2,4]
[3,4,2,6,1,3]=>[3,5,2,4,1,1]
[3,4,2,6,3,1]=>[5,6,1,2,1,3]
[3,4,3,1,2,6]=>[1,2,3,6,1,5]
[3,4,3,1,6,2]=>[1,2,5,6,1,3]
[3,4,3,2,1,6]=>[1,2,3,6,5,1]
[3,4,3,2,6,1]=>[1,2,5,6,3,1]
[3,4,3,6,1,2]=>[1,2,1,6,3,5]
[3,4,3,6,2,1]=>[1,2,1,6,5,3]
[3,4,6,1,2,3]=>[4,6,2,3,1,1]
[3,4,6,1,3,2]=>[5,6,4,1,3,1]
[3,4,6,2,1,3]=>[5,6,3,2,1,1]
[3,4,6,2,3,1]=>[5,6,4,1,1,3]
[3,4,6,3,1,2]=>[2,4,1,5,1,3]
[3,4,6,3,2,1]=>[2,4,1,5,3,1]
[3,6,1,2,3,4]=>[1,5,3,4,1,2]
[3,6,1,2,4,3]=>[1,6,4,3,2,1]
[3,6,1,3,2,4]=>[3,6,5,1,4,1]
[3,6,1,3,4,2]=>[1,6,5,1,4,2]
[3,6,1,4,2,3]=>[3,4,2,5,1,1]
[3,6,1,4,3,2]=>[1,6,5,2,3,1]
[3,6,2,1,3,4]=>[1,6,4,3,1,2]
[3,6,2,1,4,3]=>[1,5,3,4,2,1]
[3,6,2,3,1,4]=>[3,6,5,1,1,4]
[3,6,2,3,4,1]=>[1,6,5,1,2,4]
[3,6,2,4,1,3]=>[2,5,3,4,1,1]
[3,6,2,4,3,1]=>[1,6,5,2,1,3]
[3,6,3,1,2,4]=>[3,2,1,6,1,5]
[3,6,3,1,4,2]=>[5,2,1,6,1,3]
[3,6,3,2,1,4]=>[3,2,1,6,5,1]
[3,6,3,2,4,1]=>[5,2,1,6,3,1]
[3,6,3,4,1,2]=>[1,3,1,6,2,4]
[3,6,3,4,2,1]=>[1,3,1,6,4,2]
[3,6,4,1,2,3]=>[2,6,4,3,1,1]
[3,6,4,1,3,2]=>[4,6,5,1,3,1]
[3,6,4,2,1,3]=>[3,6,5,2,1,1]
[3,6,4,2,3,1]=>[4,6,5,1,1,3]
[3,6,4,3,1,2]=>[1,4,2,5,1,3]
[3,6,4,3,2,1]=>[1,4,2,5,3,1]
[4,1,2,3,3,6]=>[6,3,3,1,4,2]
[4,1,2,3,6,3]=>[6,2,4,1,4,3]
[4,1,2,6,3,3]=>[5,3,4,1,3,2]
[4,1,3,2,3,6]=>[3,3,6,1,5,2]
[4,1,3,2,6,3]=>[4,2,6,1,4,3]
[4,1,3,3,2,6]=>[5,3,5,1,2,4]
[4,1,3,3,6,2]=>[5,2,5,1,3,4]
[4,1,3,6,2,3]=>[3,5,6,1,3,2]
[4,1,3,6,3,2]=>[4,4,6,1,2,3]
[4,1,6,2,3,3]=>[6,5,3,1,3,2]
[4,1,6,3,2,3]=>[4,3,5,1,3,2]
[4,1,6,3,3,2]=>[5,4,4,1,2,3]
[4,2,1,3,3,6]=>[6,2,4,4,1,3]
[4,2,1,3,6,3]=>[6,3,3,4,1,2]
[4,2,1,6,3,3]=>[5,3,4,3,1,2]
[4,2,3,1,3,6]=>[4,2,6,4,1,3]
[4,2,3,1,6,3]=>[3,3,6,5,1,2]
[4,2,3,3,1,6]=>[5,3,5,2,1,4]
[4,2,3,3,6,1]=>[5,2,5,3,1,4]
[4,2,3,6,1,3]=>[3,5,6,3,1,2]
[4,2,3,6,3,1]=>[4,4,6,2,1,3]
[4,2,6,1,3,3]=>[6,5,3,3,1,2]
[4,2,6,3,1,3]=>[4,3,5,3,1,2]
[4,2,6,3,3,1]=>[5,4,4,2,1,3]
[4,3,1,2,3,6]=>[4,2,5,2,3,1]
[4,3,1,2,6,3]=>[5,2,4,3,2,1]
[4,3,1,3,2,6]=>[6,2,2,5,3,1]
[4,3,1,3,6,2]=>[6,4,2,5,2,1]
[4,3,1,6,2,3]=>[3,4,6,2,2,1]
[4,3,1,6,3,2]=>[6,2,3,4,2,1]
[4,3,2,1,3,6]=>[5,2,4,2,3,1]
[4,3,2,1,6,3]=>[4,2,5,3,2,1]
[4,3,2,3,1,6]=>[6,2,2,3,5,1]
[4,3,2,3,6,1]=>[6,4,2,2,5,1]
[4,3,2,6,1,3]=>[4,3,5,2,2,1]
[4,3,2,6,3,1]=>[6,2,3,2,4,1]
[4,3,3,1,2,6]=>[2,2,6,5,4,1]
[4,3,3,1,6,2]=>[2,4,6,5,2,1]
[4,3,3,2,1,6]=>[2,2,6,4,5,1]
[4,3,3,2,6,1]=>[2,4,6,2,5,1]
[4,3,3,6,1,2]=>[2,5,6,4,2,1]
[4,3,3,6,2,1]=>[2,5,6,2,4,1]
[4,3,6,1,2,3]=>[5,3,4,2,2,1]
[4,3,6,1,3,2]=>[6,5,2,4,2,1]
[4,3,6,2,1,3]=>[6,4,3,2,2,1]
[4,3,6,2,3,1]=>[6,5,2,2,4,1]
[4,3,6,3,1,2]=>[3,2,6,4,2,1]
[4,3,6,3,2,1]=>[3,2,6,2,4,1]
[4,6,1,2,3,3]=>[6,1,4,4,2,3]
[4,6,1,3,2,3]=>[4,1,5,3,3,2]
[4,6,1,3,3,2]=>[6,1,3,5,3,2]
[4,6,2,1,3,3]=>[6,1,4,2,4,3]
[4,6,2,3,1,3]=>[5,1,4,3,3,2]
[4,6,2,3,3,1]=>[6,1,3,3,5,2]
[4,6,3,1,2,3]=>[4,1,6,2,4,3]
[4,6,3,1,3,2]=>[5,1,5,2,3,4]
[4,6,3,2,1,3]=>[4,1,6,4,2,3]
[4,6,3,2,3,1]=>[5,1,5,3,2,4]
[4,6,3,3,1,2]=>[3,1,6,5,3,2]
[4,6,3,3,2,1]=>[3,1,6,3,5,2]
[6,1,2,3,3,4]=>[4,1,3,2,3,5]
[6,1,2,3,4,3]=>[6,1,4,2,3,3]
[6,1,2,4,3,3]=>[5,1,4,3,2,4]
[6,1,3,2,3,4]=>[4,1,2,3,4,6]
[6,1,3,2,4,3]=>[5,1,2,4,3,5]
[6,1,3,3,2,4]=>[3,1,3,2,5,6]
[6,1,3,3,4,2]=>[3,1,5,2,3,6]
[6,1,3,4,2,3]=>[5,1,3,4,2,5]
[6,1,3,4,3,2]=>[4,1,4,3,2,6]
[6,1,4,2,3,3]=>[5,1,2,3,4,4]
[6,1,4,3,2,3]=>[6,1,3,2,4,3]
[6,1,4,3,3,2]=>[5,1,3,2,3,4]
[6,2,1,3,3,4]=>[4,3,1,2,3,5]
[6,2,1,3,4,3]=>[5,4,1,3,2,4]
[6,2,1,4,3,3]=>[6,4,1,2,3,3]
[6,2,3,1,3,4]=>[4,2,1,3,4,6]
[6,2,3,1,4,3]=>[5,2,1,4,3,5]
[6,2,3,3,1,4]=>[3,3,1,2,5,6]
[6,2,3,3,4,1]=>[3,5,1,2,3,6]
[6,2,3,4,1,3]=>[5,3,1,4,2,5]
[6,2,3,4,3,1]=>[4,4,1,3,2,6]
[6,2,4,1,3,3]=>[5,2,1,3,4,4]
[6,2,4,3,1,3]=>[6,3,1,2,4,3]
[6,2,4,3,3,1]=>[5,3,1,2,3,4]
[6,3,1,2,3,4]=>[5,3,2,1,2,4]
[6,3,1,2,4,3]=>[6,5,3,1,2,2]
[6,3,1,3,2,4]=>[3,2,2,1,4,6]
[6,3,1,3,4,2]=>[3,2,4,1,2,6]
[6,3,1,4,2,3]=>[6,5,2,1,3,2]
[6,3,1,4,3,2]=>[6,4,2,1,2,3]
[6,3,2,1,3,4]=>[5,2,3,1,2,4]
[6,3,2,1,4,3]=>[6,3,5,1,2,2]
[6,3,2,3,1,4]=>[4,2,2,1,3,5]
[6,3,2,3,4,1]=>[3,4,2,1,2,6]
[6,3,2,4,1,3]=>[6,2,5,1,3,2]
[6,3,2,4,3,1]=>[6,2,4,1,2,3]
[6,3,3,1,2,4]=>[2,2,4,1,5,6]
[6,3,3,1,4,2]=>[2,2,5,1,4,6]
[6,3,3,2,1,4]=>[2,4,2,1,5,6]
[6,3,3,2,4,1]=>[2,5,2,1,4,6]
[6,3,3,4,1,2]=>[2,4,5,1,2,6]
[6,3,3,4,2,1]=>[2,5,4,1,2,6]
[6,3,4,1,2,3]=>[6,3,2,1,5,2]
[6,3,4,1,3,2]=>[5,2,2,1,3,4]
[6,3,4,2,1,3]=>[6,2,3,1,5,2]
[6,3,4,2,3,1]=>[6,2,2,1,4,3]
[6,3,4,3,1,2]=>[4,2,3,1,2,5]
[6,3,4,3,2,1]=>[4,3,2,1,2,5]
[6,4,1,2,3,3]=>[6,4,3,2,1,3]
[6,4,1,3,2,3]=>[5,4,2,3,1,4]
[6,4,1,3,3,2]=>[4,3,3,2,1,5]
[6,4,2,1,3,3]=>[6,3,4,2,1,3]
[6,4,2,3,1,3]=>[5,2,4,3,1,4]
[6,4,2,3,3,1]=>[5,3,3,2,1,4]
[6,4,3,1,2,3]=>[5,2,3,4,1,5]
[6,4,3,1,3,2]=>[4,2,4,3,1,6]
[6,4,3,2,1,3]=>[5,3,2,4,1,5]
[6,4,3,2,3,1]=>[4,4,2,3,1,6]
[6,4,3,3,1,2]=>[3,3,5,2,1,6]
[6,4,3,3,2,1]=>[3,5,3,2,1,6]
[1,2,3,3,5,5]=>[1,2,3,3,5,5]
[1,2,3,5,3,5]=>[1,2,4,3,3,4]
[1,2,3,5,5,3]=>[1,2,4,3,4,3]
[1,2,5,3,3,5]=>[1,3,4,2,4,3]
[1,2,5,3,5,3]=>[1,3,4,2,3,4]
[1,2,5,5,3,3]=>[1,3,3,2,4,4]
[1,3,2,3,5,5]=>[2,1,3,2,4,4]
[1,3,2,5,3,5]=>[3,1,5,2,2,3]
[1,3,2,5,5,3]=>[3,1,5,2,3,2]
[1,3,3,2,5,5]=>[2,1,2,3,5,5]
[1,3,3,5,2,5]=>[4,1,2,2,5,4]
[1,3,3,5,5,2]=>[4,1,2,2,4,5]
[1,3,5,2,3,5]=>[2,1,4,2,3,4]
[1,3,5,2,5,3]=>[3,1,3,2,5,2]
[1,3,5,3,2,5]=>[2,1,5,3,2,5]
[1,3,5,3,5,2]=>[3,1,3,2,2,5]
[1,3,5,5,2,3]=>[2,1,5,3,5,2]
[1,3,5,5,3,2]=>[2,1,4,2,4,3]
[1,5,2,3,3,5]=>[3,2,5,1,3,2]
[1,5,2,3,5,3]=>[3,2,5,1,2,3]
[1,5,2,5,3,3]=>[2,2,3,1,4,4]
[1,5,3,2,3,5]=>[3,2,3,1,5,2]
[1,5,3,2,5,3]=>[2,2,4,1,3,4]
[1,5,3,3,2,5]=>[2,3,5,1,5,2]
[1,5,3,3,5,2]=>[2,2,4,1,4,3]
[1,5,3,5,2,3]=>[2,3,5,1,2,5]
[1,5,3,5,3,2]=>[3,2,3,1,2,5]
[1,5,5,2,3,3]=>[2,3,2,1,5,5]
[1,5,5,3,2,3]=>[3,2,2,1,5,3]
[1,5,5,3,3,2]=>[3,2,2,1,3,5]
[2,1,3,3,5,5]=>[3,4,2,4,3,1]
[2,1,3,5,3,5]=>[3,4,2,3,4,1]
[2,1,3,5,5,3]=>[2,3,3,5,5,1]
[2,1,5,3,3,5]=>[3,3,2,4,4,1]
[2,1,5,3,5,3]=>[2,4,3,3,4,1]
[2,1,5,5,3,3]=>[2,4,3,4,3,1]
[2,3,1,3,5,5]=>[1,6,2,2,3,3]
[2,3,1,5,3,5]=>[1,6,2,3,2,3]
[2,3,1,5,5,3]=>[1,4,2,3,3,2]
[2,3,3,1,5,5]=>[1,2,4,5,5,2]
[2,3,3,5,1,5]=>[1,2,2,6,4,4]
[2,3,3,5,5,1]=>[1,2,2,4,6,4]
[2,3,5,1,3,5]=>[1,3,2,6,2,3]
[2,3,5,1,5,3]=>[1,3,2,4,3,2]
[2,3,5,3,1,5]=>[1,5,4,2,5,2]
[2,3,5,3,5,1]=>[1,3,2,2,6,3]
[2,3,5,5,1,3]=>[1,5,4,5,2,2]
[2,3,5,5,3,1]=>[1,3,2,3,4,2]
[2,5,1,3,3,5]=>[2,4,1,3,3,2]
[2,5,1,3,5,3]=>[2,6,1,3,2,3]
[2,5,1,5,3,3]=>[2,6,1,2,3,3]
[2,5,3,1,3,5]=>[2,3,1,4,3,2]
[2,5,3,1,5,3]=>[2,3,1,6,2,3]
[2,5,3,3,1,5]=>[4,5,1,5,2,2]
[2,5,3,3,5,1]=>[2,3,1,3,4,2]
[2,5,3,5,1,3]=>[4,5,1,2,5,2]
[2,5,3,5,3,1]=>[2,3,1,2,6,3]
[2,5,5,1,3,3]=>[4,2,1,5,5,2]
[2,5,5,3,1,3]=>[2,2,1,6,3,3]
[2,5,5,3,3,1]=>[2,2,1,3,6,3]
[3,1,2,3,5,5]=>[4,1,5,1,2,2]
[3,1,2,5,3,5]=>[3,1,5,2,1,2]
[3,1,2,5,5,3]=>[5,1,3,2,2,1]
[3,1,3,2,5,5]=>[6,3,1,4,4,1]
[3,1,3,5,2,5]=>[4,1,1,5,2,2]
[3,1,3,5,5,2]=>[6,1,1,2,5,2]
[3,1,5,2,3,5]=>[3,1,2,5,1,2]
[3,1,5,2,5,3]=>[5,1,2,3,2,1]
[3,1,5,3,2,5]=>[6,3,4,1,4,1]
[3,1,5,3,5,2]=>[6,1,2,1,5,2]
[3,1,5,5,2,3]=>[2,3,5,5,1,1]
[3,1,5,5,3,2]=>[6,1,2,2,3,1]
[3,2,1,3,5,5]=>[5,1,4,1,2,2]
[3,2,1,5,3,5]=>[5,1,3,2,1,2]
[3,2,1,5,5,3]=>[3,1,5,2,2,1]
[3,2,3,1,5,5]=>[6,3,1,4,1,4]
[3,2,3,5,1,5]=>[5,1,1,4,2,2]
[3,2,3,5,5,1]=>[6,1,1,2,2,5]
[3,2,5,1,3,5]=>[5,1,2,3,1,2]
[3,2,5,1,5,3]=>[3,1,2,5,2,1]
[3,2,5,3,1,5]=>[6,3,4,1,1,4]
[3,2,5,3,5,1]=>[6,1,2,1,2,5]
[3,2,5,5,1,3]=>[3,2,4,4,1,1]
[3,2,5,5,3,1]=>[6,1,2,2,1,3]
[3,3,1,2,5,5]=>[1,3,6,4,1,4]
[3,3,1,5,2,5]=>[1,3,4,6,1,4]
[3,3,1,5,5,2]=>[1,4,5,5,1,3]
[3,3,2,1,5,5]=>[1,3,6,4,4,1]
[3,3,2,5,1,5]=>[1,3,4,6,4,1]
[3,3,2,5,5,1]=>[1,4,5,5,3,1]
[3,3,5,1,2,5]=>[1,1,4,5,3,3]
[3,3,5,1,5,2]=>[1,1,6,3,5,3]
[3,3,5,2,1,5]=>[1,1,5,4,3,3]
[3,3,5,2,5,1]=>[1,1,6,3,3,5]
[3,3,5,5,1,2]=>[1,1,3,6,3,5]
[3,3,5,5,2,1]=>[1,1,3,6,5,3]
[3,5,1,2,3,5]=>[2,1,3,5,1,2]
[3,5,1,2,5,3]=>[2,1,5,3,2,1]
[3,5,1,3,2,5]=>[4,3,6,1,4,1]
[3,5,1,3,5,2]=>[2,1,6,1,5,2]
[3,5,1,5,2,3]=>[5,3,2,5,1,1]
[3,5,1,5,3,2]=>[2,1,6,2,3,1]
[3,5,2,1,3,5]=>[2,1,5,3,1,2]
[3,5,2,1,5,3]=>[2,1,3,5,2,1]
[3,5,2,3,1,5]=>[4,3,6,1,1,4]
[3,5,2,3,5,1]=>[2,1,6,1,2,5]
[3,5,2,5,1,3]=>[4,2,3,4,1,1]
[3,5,2,5,3,1]=>[2,1,6,2,1,3]
[3,5,3,1,2,5]=>[4,3,1,6,1,4]
[3,5,3,1,5,2]=>[5,4,1,5,1,3]
[3,5,3,2,1,5]=>[4,3,1,6,4,1]
[3,5,3,2,5,1]=>[5,4,1,5,3,1]
[3,5,3,5,1,2]=>[2,1,1,6,2,5]
[3,5,3,5,2,1]=>[2,1,1,6,5,2]
[3,5,5,1,2,3]=>[4,2,4,3,1,1]
[3,5,5,1,3,2]=>[5,4,5,1,3,1]
[3,5,5,2,1,3]=>[5,3,5,2,1,1]
[3,5,5,2,3,1]=>[5,4,5,1,1,3]
[3,5,5,3,1,2]=>[2,1,2,6,1,3]
[3,5,5,3,2,1]=>[2,1,2,6,3,1]
[5,1,2,3,3,5]=>[4,5,2,2,1,1]
[5,1,2,3,5,3]=>[5,2,3,1,1,3]
[5,1,2,5,3,3]=>[2,5,1,3,1,3]
[5,1,3,2,3,5]=>[6,2,5,2,1,1]
[5,1,3,2,5,3]=>[4,3,2,1,1,3]
[5,1,3,3,2,5]=>[6,4,4,1,2,1]
[5,1,3,3,5,2]=>[6,3,3,1,1,2]
[5,1,3,5,2,3]=>[2,5,1,1,3,5]
[5,1,3,5,3,2]=>[2,3,1,3,1,6]
[5,1,5,2,3,3]=>[5,1,4,1,3,4]
[5,1,5,3,2,3]=>[6,1,4,3,1,3]
[5,1,5,3,3,2]=>[4,1,3,3,1,5]
[5,2,1,3,3,5]=>[5,4,2,2,1,1]
[5,2,1,3,5,3]=>[2,5,3,1,1,3]
[5,2,1,5,3,3]=>[5,2,1,3,1,3]
[5,2,3,1,3,5]=>[6,2,2,5,1,1]
[5,2,3,1,5,3]=>[4,3,1,2,1,3]
[5,2,3,3,1,5]=>[6,4,1,4,2,1]
[5,2,3,3,5,1]=>[6,3,1,3,1,2]
[5,2,3,5,1,3]=>[3,4,1,1,2,4]
[5,2,3,5,3,1]=>[2,3,3,1,1,6]
[5,2,5,1,3,3]=>[5,1,1,4,3,4]
[5,2,5,3,1,3]=>[6,1,3,4,1,3]
[5,2,5,3,3,1]=>[5,1,3,3,1,4]
[5,3,1,2,3,5]=>[2,6,5,2,1,1]
[5,3,1,2,5,3]=>[3,4,2,1,1,3]
[5,3,1,3,2,5]=>[4,6,4,1,2,1]
[5,3,1,3,5,2]=>[3,6,3,1,1,2]
[5,3,1,5,2,3]=>[5,2,1,1,3,5]
[5,3,1,5,3,2]=>[3,2,1,3,1,6]
[5,3,2,1,3,5]=>[2,6,2,5,1,1]
[5,3,2,1,5,3]=>[3,4,1,2,1,3]
[5,3,2,3,1,5]=>[4,6,1,4,2,1]
[5,3,2,3,5,1]=>[3,6,1,3,1,2]
[5,3,2,5,1,3]=>[4,3,1,1,2,4]
[5,3,2,5,3,1]=>[3,2,3,1,1,6]
[5,3,3,1,2,5]=>[5,5,2,1,4,1]
[5,3,3,1,5,2]=>[4,4,1,1,2,3]
[5,3,3,2,1,5]=>[5,5,1,2,4,1]
[5,3,3,2,5,1]=>[5,5,1,1,3,2]
[5,3,3,5,1,2]=>[3,3,1,2,1,4]
[5,3,3,5,2,1]=>[3,3,2,1,1,4]
[5,3,5,1,2,3]=>[5,1,1,3,4,5]
[5,3,5,1,3,2]=>[4,1,1,4,3,6]
[5,3,5,2,1,3]=>[5,1,3,1,4,5]
[5,3,5,2,3,1]=>[4,1,4,1,3,6]
[5,3,5,3,1,2]=>[3,1,3,5,1,6]
[5,3,5,3,2,1]=>[3,1,5,3,1,6]
[5,5,1,2,3,3]=>[1,5,1,4,3,4]
[5,5,1,3,2,3]=>[1,5,1,3,4,5]
[5,5,1,3,3,2]=>[1,4,1,4,3,6]
[5,5,2,1,3,3]=>[1,5,4,1,3,4]
[5,5,2,3,1,3]=>[1,5,3,1,4,5]
[5,5,2,3,3,1]=>[1,4,4,1,3,6]
[5,5,3,1,2,3]=>[1,6,4,3,1,3]
[5,5,3,1,3,2]=>[1,4,3,3,1,5]
[5,5,3,2,1,3]=>[1,6,3,4,1,3]
[5,5,3,2,3,1]=>[1,5,3,3,1,4]
[5,5,3,3,1,2]=>[1,3,3,5,1,6]
[5,5,3,3,2,1]=>[1,3,5,3,1,6]
[1,2,3,3,5,6]=>[1,2,3,3,5,6]
[1,2,3,3,6,5]=>[1,2,3,5,3,6]
[1,2,3,5,3,6]=>[1,2,4,3,3,5]
[1,2,3,5,6,3]=>[1,2,6,4,3,3]
[1,2,3,6,3,5]=>[1,2,5,3,3,4]
[1,2,3,6,5,3]=>[1,2,6,3,4,3]
[1,2,5,3,3,6]=>[1,3,4,2,4,6]
[1,2,5,3,6,3]=>[1,4,5,2,3,5]
[1,2,5,6,3,3]=>[1,3,5,2,4,4]
[1,2,6,3,3,5]=>[1,3,4,4,2,6]
[1,2,6,3,5,3]=>[1,4,5,3,2,5]
[1,2,6,5,3,3]=>[1,3,5,4,2,4]
[1,3,2,3,5,6]=>[2,1,3,2,4,6]
[1,3,2,3,6,5]=>[2,1,3,4,2,6]
[1,3,2,5,3,6]=>[3,1,5,2,2,4]
[1,3,2,5,6,3]=>[5,1,6,3,2,2]
[1,3,2,6,3,5]=>[4,1,6,2,2,3]
[1,3,2,6,5,3]=>[5,1,6,2,3,2]
[1,3,3,2,5,6]=>[2,1,2,3,5,6]
[1,3,3,2,6,5]=>[2,1,2,5,3,6]
[1,3,3,5,2,6]=>[4,1,2,2,5,6]
[1,3,3,5,6,2]=>[5,1,2,2,4,6]
[1,3,3,6,2,5]=>[4,1,2,5,2,6]
[1,3,3,6,5,2]=>[5,1,2,4,2,6]
[1,3,5,2,3,6]=>[2,1,5,3,2,4]
[1,3,5,2,6,3]=>[3,1,6,5,2,2]
[1,3,5,3,2,6]=>[2,1,4,2,3,5]
[1,3,5,3,6,2]=>[4,1,3,2,2,6]
[1,3,5,6,2,3]=>[2,1,6,5,3,2]
[1,3,5,6,3,2]=>[2,1,6,4,2,3]
[1,3,6,2,3,5]=>[2,1,5,2,3,4]
[1,3,6,2,5,3]=>[3,1,6,2,5,2]
[1,3,6,3,2,5]=>[2,1,4,3,2,5]
[1,3,6,3,5,2]=>[3,1,4,2,2,5]
[1,3,6,5,2,3]=>[2,1,6,3,5,2]
[1,3,6,5,3,2]=>[2,1,6,2,4,3]
[1,5,2,3,3,6]=>[3,2,4,1,3,5]
[1,5,2,3,6,3]=>[4,3,5,1,2,4]
[1,5,2,6,3,3]=>[4,2,6,1,3,3]
[1,5,3,2,3,6]=>[2,3,4,1,4,6]
[1,5,3,2,6,3]=>[2,4,5,1,3,5]
[1,5,3,3,2,6]=>[3,2,3,1,4,6]
[1,5,3,3,6,2]=>[5,2,3,1,3,6]
[1,5,3,6,2,3]=>[3,4,5,1,2,5]
[1,5,3,6,3,2]=>[4,3,4,1,2,5]
[1,5,6,2,3,3]=>[2,3,5,1,4,4]
[1,5,6,3,2,3]=>[3,2,6,1,4,3]
[1,5,6,3,3,2]=>[3,2,5,1,3,4]
[1,6,2,3,3,5]=>[3,2,4,3,1,5]
[1,6,2,3,5,3]=>[4,3,5,2,1,4]
[1,6,2,5,3,3]=>[4,2,6,3,1,3]
[1,6,3,2,3,5]=>[2,3,4,4,1,6]
[1,6,3,2,5,3]=>[2,4,5,3,1,5]
[1,6,3,3,2,5]=>[3,2,3,4,1,6]
[1,6,3,3,5,2]=>[5,2,3,3,1,6]
[1,6,3,5,2,3]=>[3,4,5,2,1,5]
[1,6,3,5,3,2]=>[4,3,4,2,1,5]
[1,6,5,2,3,3]=>[3,2,6,4,1,3]
[1,6,5,3,2,3]=>[2,3,5,4,1,4]
[1,6,5,3,3,2]=>[3,2,5,3,1,4]
[2,1,3,3,5,6]=>[4,5,3,2,5,1]
[2,1,3,3,6,5]=>[4,5,2,3,5,1]
[2,1,3,5,3,6]=>[3,4,4,2,6,1]
[2,1,3,5,6,3]=>[2,3,5,3,6,1]
[2,1,3,6,3,5]=>[3,4,2,4,6,1]
[2,1,3,6,5,3]=>[2,3,3,5,6,1]
[2,1,5,3,3,6]=>[3,5,4,2,4,1]
[2,1,5,3,6,3]=>[2,4,3,3,5,1]
[2,1,5,6,3,3]=>[2,6,4,3,3,1]
[2,1,6,3,3,5]=>[3,5,2,4,4,1]
[2,1,6,3,5,3]=>[2,5,3,3,4,1]
[2,1,6,5,3,3]=>[2,6,3,4,3,1]
[2,3,1,3,5,6]=>[1,6,2,3,2,5]
[2,3,1,3,6,5]=>[1,6,3,2,2,5]
[2,3,1,5,3,6]=>[1,6,2,2,3,4]
[2,3,1,5,6,3]=>[1,4,3,2,5,2]
[2,3,1,6,3,5]=>[1,5,2,2,4,3]
[2,3,1,6,5,3]=>[1,4,2,3,5,2]
[2,3,3,1,5,6]=>[1,2,5,4,6,2]
[2,3,3,1,6,5]=>[1,2,4,5,6,2]
[2,3,3,5,1,6]=>[1,2,2,5,6,4]
[2,3,3,5,6,1]=>[1,2,2,4,6,5]
[2,3,3,6,1,5]=>[1,2,5,2,6,4]
[2,3,3,6,5,1]=>[1,2,4,2,6,5]
[2,3,5,1,3,6]=>[1,6,5,2,2,3]
[2,3,5,1,6,3]=>[1,6,4,2,3,2]
[2,3,5,3,1,6]=>[1,3,2,4,6,2]
[2,3,5,3,6,1]=>[1,3,2,2,6,4]
[2,3,5,6,1,3]=>[1,6,5,4,2,2]
[2,3,5,6,3,1]=>[1,5,3,2,4,2]
[2,3,6,1,3,5]=>[1,6,2,5,2,3]
[2,3,6,1,5,3]=>[1,6,2,4,3,2]
[2,3,6,3,1,5]=>[1,3,4,2,6,2]
[2,3,6,3,5,1]=>[1,4,2,2,5,3]
[2,3,6,5,1,3]=>[1,6,4,5,2,2]
[2,3,6,5,3,1]=>[1,5,2,3,4,2]
[2,5,1,3,3,6]=>[2,6,1,3,3,4]
[2,5,1,3,6,3]=>[2,5,1,3,4,3]
[2,5,1,6,3,3]=>[3,6,1,2,4,4]
[2,5,3,1,3,6]=>[4,5,1,3,5,2]
[2,5,3,1,6,3]=>[3,4,1,4,6,2]
[2,5,3,3,1,6]=>[2,3,1,5,6,3]
[2,5,3,3,6,1]=>[2,3,1,3,6,5]
[2,5,3,6,1,3]=>[4,5,1,2,5,3]
[2,5,3,6,3,1]=>[3,4,1,2,6,4]
[2,5,6,1,3,3]=>[3,5,1,4,4,2]
[2,5,6,3,1,3]=>[2,6,1,5,3,3]
[2,5,6,3,3,1]=>[2,4,1,3,5,3]
[2,6,1,3,3,5]=>[2,6,3,1,3,4]
[2,6,1,3,5,3]=>[2,5,3,1,4,3]
[2,6,1,5,3,3]=>[3,6,2,1,4,4]
[2,6,3,1,3,5]=>[4,5,3,1,5,2]
[2,6,3,1,5,3]=>[3,4,4,1,6,2]
[2,6,3,3,1,5]=>[2,3,5,1,6,3]
[2,6,3,3,5,1]=>[2,3,3,1,6,5]
[2,6,3,5,1,3]=>[4,5,2,1,5,3]
[2,6,3,5,3,1]=>[3,4,2,1,6,4]
[2,6,5,1,3,3]=>[2,6,5,1,3,3]
[2,6,5,3,1,3]=>[3,5,4,1,4,2]
[2,6,5,3,3,1]=>[2,4,3,1,5,3]
[3,1,2,3,5,6]=>[3,1,2,6,1,4]
[3,1,2,3,6,5]=>[3,2,1,6,1,4]
[3,1,2,5,3,6]=>[4,1,1,5,2,3]
[3,1,2,5,6,3]=>[6,2,1,3,4,1]
[3,1,2,6,3,5]=>[5,1,1,4,3,2]
[3,1,2,6,5,3]=>[6,1,2,3,4,1]
[3,1,3,2,5,6]=>[6,4,3,1,5,1]
[3,1,3,2,6,5]=>[6,3,4,1,5,1]
[3,1,3,5,2,6]=>[6,1,4,1,5,2]
[3,1,3,5,6,2]=>[6,1,2,1,5,4]
[3,1,3,6,2,5]=>[6,4,1,1,5,2]
[3,1,3,6,5,2]=>[6,2,1,1,5,4]
[3,1,5,2,3,6]=>[3,4,1,6,1,2]
[3,1,5,2,6,3]=>[4,3,1,5,2,1]
[3,1,5,3,2,6]=>[6,1,3,2,5,1]
[3,1,5,3,6,2]=>[6,1,1,2,5,3]
[3,1,5,6,2,3]=>[2,5,3,6,1,1]
[3,1,5,6,3,2]=>[5,2,1,4,3,1]
[3,1,6,2,3,5]=>[3,1,4,6,1,2]
[3,1,6,2,5,3]=>[4,1,3,5,2,1]
[3,1,6,3,2,5]=>[6,3,1,2,5,1]
[3,1,6,3,5,2]=>[6,1,1,3,4,2]
[3,1,6,5,2,3]=>[2,3,5,6,1,1]
[3,1,6,5,3,2]=>[5,1,2,4,3,1]
[3,2,1,3,5,6]=>[6,1,2,3,1,4]
[3,2,1,3,6,5]=>[6,2,1,3,1,4]
[3,2,1,5,3,6]=>[5,1,1,4,2,3]
[3,2,1,5,6,3]=>[3,2,1,6,4,1]
[3,2,1,6,3,5]=>[4,1,1,5,3,2]
[3,2,1,6,5,3]=>[3,1,2,6,4,1]
[3,2,3,1,5,6]=>[6,3,4,1,1,5]
[3,2,3,1,6,5]=>[6,4,3,1,1,5]
[3,2,3,5,1,6]=>[6,1,4,1,2,5]
[3,2,3,5,6,1]=>[6,1,2,1,4,5]
[3,2,3,6,1,5]=>[6,4,1,1,2,5]
[3,2,3,6,5,1]=>[6,2,1,1,4,5]
[3,2,5,1,3,6]=>[4,3,1,5,1,2]
[3,2,5,1,6,3]=>[3,4,1,6,2,1]
[3,2,5,3,1,6]=>[6,1,3,2,1,5]
[3,2,5,3,6,1]=>[6,1,1,2,3,5]
[3,2,5,6,1,3]=>[3,4,2,6,1,1]
[3,2,5,6,3,1]=>[5,2,1,4,1,3]
[3,2,6,1,3,5]=>[4,1,3,5,1,2]
[3,2,6,1,5,3]=>[3,1,4,6,2,1]
[3,2,6,3,1,5]=>[6,3,1,2,1,5]
[3,2,6,3,5,1]=>[6,1,1,3,2,4]
[3,2,6,5,1,3]=>[3,2,4,6,1,1]
[3,2,6,5,3,1]=>[5,1,2,4,1,3]
[3,3,1,2,5,6]=>[1,3,4,6,1,5]
[3,3,1,2,6,5]=>[1,4,3,6,1,5]
[3,3,1,5,2,6]=>[1,5,3,6,1,4]
[3,3,1,5,6,2]=>[1,5,4,6,1,3]
[3,3,1,6,2,5]=>[1,3,5,6,1,4]
[3,3,1,6,5,2]=>[1,4,5,6,1,3]
[3,3,2,1,5,6]=>[1,4,3,6,5,1]
[3,3,2,1,6,5]=>[1,3,4,6,5,1]
[3,3,2,5,1,6]=>[1,5,3,6,4,1]
[3,3,2,5,6,1]=>[1,5,4,6,3,1]
[3,3,2,6,1,5]=>[1,3,5,6,4,1]
[3,3,2,6,5,1]=>[1,4,5,6,3,1]
[3,3,5,1,2,6]=>[1,1,4,6,3,5]
[3,3,5,1,6,2]=>[1,1,5,6,3,4]
[3,3,5,2,1,6]=>[1,1,4,6,5,3]
[3,3,5,2,6,1]=>[1,1,5,6,4,3]
[3,3,5,6,1,2]=>[1,1,3,6,4,5]
[3,3,5,6,2,1]=>[1,1,3,6,5,4]
[3,3,6,1,2,5]=>[1,4,1,6,3,5]
[3,3,6,1,5,2]=>[1,5,1,6,3,4]
[3,3,6,2,1,5]=>[1,4,1,6,5,3]
[3,3,6,2,5,1]=>[1,5,1,6,4,3]
[3,3,6,5,1,2]=>[1,3,1,6,4,5]
[3,3,6,5,2,1]=>[1,3,1,6,5,4]
[3,5,1,2,3,6]=>[5,3,1,4,1,2]
[3,5,1,2,6,3]=>[6,4,1,3,2,1]
[3,5,1,3,2,6]=>[6,5,3,1,4,1]
[3,5,1,3,6,2]=>[6,5,1,1,4,2]
[3,5,1,6,2,3]=>[4,2,3,5,1,1]
[3,5,1,6,3,2]=>[6,5,1,2,3,1]
[3,5,2,1,3,6]=>[6,4,1,3,1,2]
[3,5,2,1,6,3]=>[5,3,1,4,2,1]
[3,5,2,3,1,6]=>[6,5,3,1,1,4]
[3,5,2,3,6,1]=>[6,5,1,1,2,4]
[3,5,2,6,1,3]=>[5,3,2,4,1,1]
[3,5,2,6,3,1]=>[6,5,1,2,1,3]
[3,5,3,1,2,6]=>[2,1,3,6,1,5]
[3,5,3,1,6,2]=>[2,1,5,6,1,3]
[3,5,3,2,1,6]=>[2,1,3,6,5,1]
[3,5,3,2,6,1]=>[2,1,5,6,3,1]
[3,5,3,6,1,2]=>[2,1,1,6,3,5]
[3,5,3,6,2,1]=>[2,1,1,6,5,3]
[3,5,6,1,2,3]=>[6,4,2,3,1,1]
[3,5,6,1,3,2]=>[6,5,4,1,3,1]
[3,5,6,2,1,3]=>[6,5,3,2,1,1]
[3,5,6,2,3,1]=>[6,5,4,1,1,3]
[3,5,6,3,1,2]=>[4,2,1,5,1,3]
[3,5,6,3,2,1]=>[4,2,1,5,3,1]
[3,6,1,2,3,5]=>[5,1,3,4,1,2]
[3,6,1,2,5,3]=>[6,1,4,3,2,1]
[3,6,1,3,2,5]=>[6,3,5,1,4,1]
[3,6,1,3,5,2]=>[6,1,5,1,4,2]
[3,6,1,5,2,3]=>[4,3,2,5,1,1]
[3,6,1,5,3,2]=>[6,1,5,2,3,1]
[3,6,2,1,3,5]=>[6,1,4,3,1,2]
[3,6,2,1,5,3]=>[5,1,3,4,2,1]
[3,6,2,3,1,5]=>[6,3,5,1,1,4]
[3,6,2,3,5,1]=>[6,1,5,1,2,4]
[3,6,2,5,1,3]=>[5,2,3,4,1,1]
[3,6,2,5,3,1]=>[6,1,5,2,1,3]
[3,6,3,1,2,5]=>[2,3,1,6,1,5]
[3,6,3,1,5,2]=>[2,5,1,6,1,3]
[3,6,3,2,1,5]=>[2,3,1,6,5,1]
[3,6,3,2,5,1]=>[2,5,1,6,3,1]
[3,6,3,5,1,2]=>[3,1,1,6,2,4]
[3,6,3,5,2,1]=>[3,1,1,6,4,2]
[3,6,5,1,2,3]=>[6,2,4,3,1,1]
[3,6,5,1,3,2]=>[6,4,5,1,3,1]
[3,6,5,2,1,3]=>[6,3,5,2,1,1]
[3,6,5,2,3,1]=>[6,4,5,1,1,3]
[3,6,5,3,1,2]=>[4,1,2,5,1,3]
[3,6,5,3,2,1]=>[4,1,2,5,3,1]
[5,1,2,3,3,6]=>[3,5,1,3,2,4]
[5,1,2,3,6,3]=>[3,6,1,4,2,3]
[5,1,2,6,3,3]=>[2,5,1,4,3,4]
[5,1,3,2,3,6]=>[4,4,1,2,3,5]
[5,1,3,2,6,3]=>[3,5,1,2,4,5]
[5,1,3,3,2,6]=>[5,3,1,3,2,6]
[5,1,3,3,6,2]=>[3,3,1,4,2,6]
[5,1,3,6,2,3]=>[2,5,1,3,4,5]
[5,1,3,6,3,2]=>[2,4,1,4,3,6]
[5,1,6,2,3,3]=>[4,6,1,3,2,3]
[5,1,6,3,2,3]=>[4,5,1,2,3,4]
[5,1,6,3,3,2]=>[3,4,1,3,2,5]
[5,2,1,3,3,6]=>[3,5,3,1,2,4]
[5,2,1,3,6,3]=>[2,5,4,1,3,4]
[5,2,1,6,3,3]=>[3,6,4,1,2,3]
[5,2,3,1,3,6]=>[4,4,2,1,3,5]
[5,2,3,1,6,3]=>[3,5,2,1,4,5]
[5,2,3,3,1,6]=>[5,3,3,1,2,6]
[5,2,3,3,6,1]=>[3,3,4,1,2,6]
[5,2,3,6,1,3]=>[2,5,3,1,4,5]
[5,2,3,6,3,1]=>[2,4,4,1,3,6]
[5,2,6,1,3,3]=>[4,6,3,1,2,3]
[5,2,6,3,1,3]=>[4,5,2,1,3,4]
[5,2,6,3,3,1]=>[3,4,3,1,2,5]
[5,3,1,2,3,6]=>[2,6,4,2,1,3]
[5,3,1,2,6,3]=>[2,6,5,3,1,2]
[5,3,1,3,2,6]=>[4,3,2,2,1,6]
[5,3,1,3,6,2]=>[2,4,2,3,1,5]
[5,3,1,6,2,3]=>[3,6,5,2,1,2]
[5,3,1,6,3,2]=>[2,5,3,2,1,4]
[5,3,2,1,3,6]=>[2,6,2,4,1,3]
[5,3,2,1,6,3]=>[2,6,3,5,1,2]
[5,3,2,3,1,6]=>[3,4,2,2,1,5]
[5,3,2,3,6,1]=>[2,4,3,2,1,5]
[5,3,2,6,1,3]=>[3,6,2,5,1,2]
[5,3,2,6,3,1]=>[2,5,2,3,1,4]
[5,3,3,1,2,6]=>[5,2,2,4,1,6]
[5,3,3,1,6,2]=>[4,2,2,5,1,6]
[5,3,3,2,1,6]=>[5,2,4,2,1,6]
[5,3,3,2,6,1]=>[4,2,5,2,1,6]
[5,3,3,6,1,2]=>[2,2,3,5,1,6]
[5,3,3,6,2,1]=>[2,2,5,3,1,6]
[5,3,6,1,2,3]=>[5,6,3,2,1,2]
[5,3,6,1,3,2]=>[3,5,2,2,1,4]
[5,3,6,2,1,3]=>[5,6,2,3,1,2]
[5,3,6,2,3,1]=>[4,6,2,2,1,3]
[5,3,6,3,1,2]=>[2,3,2,4,1,6]
[5,3,6,3,2,1]=>[2,3,4,2,1,6]
[5,6,1,2,3,3]=>[1,5,2,4,3,4]
[5,6,1,3,2,3]=>[1,5,2,3,4,5]
[5,6,1,3,3,2]=>[1,4,2,4,3,6]
[5,6,2,1,3,3]=>[1,5,4,2,3,4]
[5,6,2,3,1,3]=>[1,5,3,2,4,5]
[5,6,2,3,3,1]=>[1,4,4,2,3,6]
[5,6,3,1,2,3]=>[1,6,4,3,2,3]
[5,6,3,1,3,2]=>[1,4,3,3,2,5]
[5,6,3,2,1,3]=>[1,6,3,4,2,3]
[5,6,3,2,3,1]=>[1,5,3,3,2,4]
[5,6,3,3,1,2]=>[1,3,3,5,2,6]
[5,6,3,3,2,1]=>[1,3,5,3,2,6]
[6,1,2,3,3,5]=>[4,1,3,2,5,3]
[6,1,2,3,5,3]=>[6,1,5,2,3,3]
[6,1,2,5,3,3]=>[5,1,4,3,4,2]
[6,1,3,2,3,5]=>[4,1,2,3,6,4]
[6,1,3,2,5,3]=>[5,1,2,4,5,3]
[6,1,3,3,2,5]=>[3,1,3,2,6,5]
[6,1,3,3,5,2]=>[3,1,5,2,6,3]
[6,1,3,5,2,3]=>[4,1,4,3,6,2]
[6,1,3,5,3,2]=>[5,1,3,4,5,2]
[6,1,5,2,3,3]=>[6,1,2,3,4,4]
[6,1,5,3,2,3]=>[5,1,3,2,4,3]
[6,1,5,3,3,2]=>[6,1,3,2,3,4]
[6,2,1,3,3,5]=>[4,3,1,2,5,3]
[6,2,1,3,5,3]=>[5,4,1,3,4,2]
[6,2,1,5,3,3]=>[6,5,1,2,3,3]
[6,2,3,1,3,5]=>[4,2,1,3,6,4]
[6,2,3,1,5,3]=>[5,2,1,4,5,3]
[6,2,3,3,1,5]=>[3,3,1,2,6,5]
[6,2,3,3,5,1]=>[3,5,1,2,6,3]
[6,2,3,5,1,3]=>[4,4,1,3,6,2]
[6,2,3,5,3,1]=>[5,3,1,4,5,2]
[6,2,5,1,3,3]=>[6,2,1,3,4,4]
[6,2,5,3,1,3]=>[5,3,1,2,4,3]
[6,2,5,3,3,1]=>[6,3,1,2,3,4]
[6,3,1,2,3,5]=>[5,3,2,1,4,2]
[6,3,1,2,5,3]=>[6,5,4,1,2,2]
[6,3,1,3,2,5]=>[3,2,2,1,6,4]
[6,3,1,3,5,2]=>[3,2,4,1,6,2]
[6,3,1,5,2,3]=>[6,4,2,1,3,2]
[6,3,1,5,3,2]=>[6,5,2,1,2,3]
[6,3,2,1,3,5]=>[5,2,3,1,4,2]
[6,3,2,1,5,3]=>[6,4,5,1,2,2]
[6,3,2,3,1,5]=>[4,2,2,1,5,3]
[6,3,2,3,5,1]=>[3,4,2,1,6,2]
[6,3,2,5,1,3]=>[6,2,4,1,3,2]
[6,3,2,5,3,1]=>[6,2,5,1,2,3]
[6,3,3,1,2,5]=>[2,2,4,1,6,5]
[6,3,3,1,5,2]=>[2,2,5,1,6,4]
[6,3,3,2,1,5]=>[2,4,2,1,6,5]
[6,3,3,2,5,1]=>[2,5,2,1,6,4]
[6,3,3,5,1,2]=>[2,5,4,1,6,2]
[6,3,3,5,2,1]=>[2,4,5,1,6,2]
[6,3,5,1,2,3]=>[4,3,2,1,5,2]
[6,3,5,1,3,2]=>[6,2,2,1,3,4]
[6,3,5,2,1,3]=>[4,2,3,1,5,2]
[6,3,5,2,3,1]=>[5,2,2,1,4,3]
[6,3,5,3,1,2]=>[6,2,3,1,2,5]
[6,3,5,3,2,1]=>[6,3,2,1,2,5]
[6,5,1,2,3,3]=>[6,4,3,2,3,1]
[6,5,1,3,2,3]=>[4,3,3,2,5,1]
[6,5,1,3,3,2]=>[5,4,2,3,4,1]
[6,5,2,1,3,3]=>[6,3,4,2,3,1]
[6,5,2,3,1,3]=>[5,3,3,2,4,1]
[6,5,2,3,3,1]=>[5,2,4,3,4,1]
[6,5,3,1,2,3]=>[3,5,3,2,6,1]
[6,5,3,1,3,2]=>[4,4,2,3,6,1]
[6,5,3,2,1,3]=>[3,3,5,2,6,1]
[6,5,3,2,3,1]=>[4,2,4,3,6,1]
[6,5,3,3,1,2]=>[5,3,2,4,5,1]
[6,5,3,3,2,1]=>[5,2,3,4,5,1]
[1,2,3,4,4,4]=>[1,2,3,4,4,4]
[1,2,4,3,4,4]=>[1,3,2,4,3,3]
[1,2,4,4,3,4]=>[1,3,2,3,4,3]
[1,2,4,4,4,3]=>[1,3,2,3,3,4]
[1,3,2,4,4,4]=>[2,1,3,4,4,4]
[1,3,4,2,4,4]=>[3,1,2,4,3,3]
[1,3,4,4,2,4]=>[3,1,2,3,4,3]
[1,3,4,4,4,2]=>[3,1,2,3,3,4]
[1,4,2,3,4,4]=>[3,2,1,6,2,2]
[1,4,2,4,3,4]=>[2,2,1,3,4,2]
[1,4,2,4,4,3]=>[2,2,1,3,2,4]
[1,4,3,2,4,4]=>[2,3,1,6,2,2]
[1,4,3,4,2,4]=>[2,2,1,4,3,2]
[1,4,3,4,4,2]=>[2,2,1,4,2,3]
[1,4,4,2,3,4]=>[3,2,1,2,6,2]
[1,4,4,2,4,3]=>[2,2,1,2,3,4]
[1,4,4,3,2,4]=>[2,3,1,2,6,2]
[1,4,4,3,4,2]=>[2,2,1,2,4,3]
[1,4,4,4,2,3]=>[2,3,1,2,2,6]
[1,4,4,4,3,2]=>[3,2,1,2,2,6]
[2,1,3,4,4,4]=>[3,2,4,3,3,1]
[2,1,4,3,4,4]=>[3,2,3,4,3,1]
[2,1,4,4,3,4]=>[3,2,3,3,4,1]
[2,1,4,4,4,3]=>[2,3,4,4,4,1]
[2,3,1,4,4,4]=>[1,3,4,4,4,2]
[2,3,4,1,4,4]=>[1,2,6,3,3,3]
[2,3,4,4,1,4]=>[1,2,3,6,3,3]
[2,3,4,4,4,1]=>[1,2,3,3,6,3]
[2,4,1,3,4,4]=>[2,1,5,3,2,2]
[2,4,1,4,3,4]=>[2,1,5,2,3,2]
[2,4,1,4,4,3]=>[2,1,6,2,2,3]
[2,4,3,1,4,4]=>[5,1,6,2,2,2]
[2,4,3,4,1,4]=>[2,1,3,5,2,2]
[2,4,3,4,4,1]=>[2,1,3,2,5,2]
[2,4,4,1,3,4]=>[2,1,2,5,3,2]
[2,4,4,1,4,3]=>[2,1,2,6,2,3]
[2,4,4,3,1,4]=>[5,1,2,6,2,2]
[2,4,4,3,4,1]=>[2,1,2,3,5,2]
[2,4,4,4,1,3]=>[5,1,2,2,6,2]
[2,4,4,4,3,1]=>[2,1,2,2,6,3]
[3,1,2,4,4,4]=>[2,6,3,3,1,3]
[3,1,4,2,4,4]=>[2,3,6,3,1,3]
[3,1,4,4,2,4]=>[2,3,3,6,1,3]
[3,1,4,4,4,2]=>[3,4,4,4,1,2]
[3,2,1,4,4,4]=>[2,6,3,3,3,1]
[3,2,4,1,4,4]=>[2,3,6,3,3,1]
[3,2,4,4,1,4]=>[2,3,3,6,3,1]
[3,2,4,4,4,1]=>[3,4,4,4,2,1]
[3,4,1,2,4,4]=>[1,4,5,2,2,2]
[3,4,1,4,2,4]=>[1,4,2,5,2,2]
[3,4,1,4,4,2]=>[1,6,2,2,5,2]
[3,4,2,1,4,4]=>[1,5,4,2,2,2]
[3,4,2,4,1,4]=>[1,5,2,4,2,2]
[3,4,2,4,4,1]=>[1,6,2,2,2,5]
[3,4,4,1,2,4]=>[1,2,4,5,2,2]
[3,4,4,1,4,2]=>[1,2,6,2,5,2]
[3,4,4,2,1,4]=>[1,2,5,4,2,2]
[3,4,4,2,4,1]=>[1,2,6,2,2,5]
[3,4,4,4,1,2]=>[1,2,2,6,2,5]
[3,4,4,4,2,1]=>[1,2,2,6,5,2]
[4,1,2,3,4,4]=>[2,3,4,1,1,1]
[4,1,2,4,3,4]=>[6,3,1,4,1,1]
[4,1,2,4,4,3]=>[3,6,1,1,4,1]
[4,1,3,2,4,4]=>[2,4,3,1,1,1]
[4,1,3,4,2,4]=>[5,4,1,3,1,1]
[4,1,3,4,4,2]=>[3,6,1,1,1,4]
[4,1,4,2,3,4]=>[6,1,3,4,1,1]
[4,1,4,2,4,3]=>[3,1,6,1,4,1]
[4,1,4,3,2,4]=>[5,1,4,3,1,1]
[4,1,4,3,4,2]=>[3,1,6,1,1,4]
[4,1,4,4,2,3]=>[6,1,1,5,1,4]
[4,1,4,4,3,2]=>[6,1,1,5,4,1]
[4,2,1,3,4,4]=>[3,2,4,1,1,1]
[4,2,1,4,3,4]=>[3,6,1,4,1,1]
[4,2,1,4,4,3]=>[6,3,1,1,4,1]
[4,2,3,1,4,4]=>[3,4,2,1,1,1]
[4,2,3,4,1,4]=>[5,4,1,1,3,1]
[4,2,3,4,4,1]=>[4,5,1,1,1,3]
[4,2,4,1,3,4]=>[3,1,6,4,1,1]
[4,2,4,1,4,3]=>[6,1,3,1,4,1]
[4,2,4,3,1,4]=>[5,1,4,1,3,1]
[4,2,4,3,4,1]=>[4,1,5,1,1,3]
[4,2,4,4,1,3]=>[6,1,1,1,5,4]
[4,2,4,4,3,1]=>[6,1,1,4,5,1]
[4,3,1,2,4,4]=>[4,2,3,1,1,1]
[4,3,1,4,2,4]=>[4,5,1,3,1,1]
[4,3,1,4,4,2]=>[6,3,1,1,1,4]
[4,3,2,1,4,4]=>[4,3,2,1,1,1]
[4,3,2,4,1,4]=>[4,5,1,1,3,1]
[4,3,2,4,4,1]=>[5,4,1,1,1,3]
[4,3,4,1,2,4]=>[4,1,5,3,1,1]
[4,3,4,1,4,2]=>[6,1,3,1,1,4]
[4,3,4,2,1,4]=>[4,1,5,1,3,1]
[4,3,4,2,4,1]=>[5,1,4,1,1,3]
[4,3,4,4,1,2]=>[6,1,1,1,4,5]
[4,3,4,4,2,1]=>[6,1,1,4,1,5]
[4,4,1,2,3,4]=>[1,6,3,4,1,1]
[4,4,1,2,4,3]=>[1,3,6,1,4,1]
[4,4,1,3,2,4]=>[1,5,4,3,1,1]
[4,4,1,3,4,2]=>[1,3,6,1,1,4]
[4,4,1,4,2,3]=>[1,6,1,5,1,4]
[4,4,1,4,3,2]=>[1,6,1,5,4,1]
[4,4,2,1,3,4]=>[1,3,6,4,1,1]
[4,4,2,1,4,3]=>[1,6,3,1,4,1]
[4,4,2,3,1,4]=>[1,5,4,1,3,1]
[4,4,2,3,4,1]=>[1,4,5,1,1,3]
[4,4,2,4,1,3]=>[1,6,1,1,5,4]
[4,4,2,4,3,1]=>[1,6,1,4,5,1]
[4,4,3,1,2,4]=>[1,4,5,3,1,1]
[4,4,3,1,4,2]=>[1,6,3,1,1,4]
[4,4,3,2,1,4]=>[1,4,5,1,3,1]
[4,4,3,2,4,1]=>[1,5,4,1,1,3]
[4,4,3,4,1,2]=>[1,6,1,1,4,5]
[4,4,3,4,2,1]=>[1,6,1,4,1,5]
[4,4,4,1,2,3]=>[1,1,6,1,5,4]
[4,4,4,1,3,2]=>[1,1,6,1,4,5]
[4,4,4,2,1,3]=>[1,1,6,5,1,4]
[4,4,4,2,3,1]=>[1,1,6,4,1,5]
[4,4,4,3,1,2]=>[1,1,6,5,4,1]
[4,4,4,3,2,1]=>[1,1,6,4,5,1]
[1,2,3,4,4,5]=>[1,2,3,4,4,5]
[1,2,3,4,5,4]=>[1,2,3,4,5,4]
[1,2,3,5,4,4]=>[1,2,4,3,5,5]
[1,2,4,3,4,5]=>[1,3,2,3,4,5]
[1,2,4,3,5,4]=>[1,4,2,3,6,3]
[1,2,4,4,3,5]=>[1,3,2,4,3,6]
[1,2,4,4,5,3]=>[1,4,2,3,3,6]
[1,2,4,5,3,4]=>[1,3,2,4,6,3]
[1,2,4,5,4,3]=>[1,3,2,3,5,4]
[1,2,5,3,4,4]=>[1,3,4,2,5,5]
[1,2,5,4,3,4]=>[1,4,3,2,5,4]
[1,2,5,4,4,3]=>[1,4,3,2,4,5]
[1,3,2,4,4,5]=>[2,1,3,4,4,5]
[1,3,2,4,5,4]=>[2,1,3,4,5,4]
[1,3,2,5,4,4]=>[2,1,4,3,5,5]
[1,3,4,2,4,5]=>[3,1,2,3,4,5]
[1,3,4,2,5,4]=>[4,1,2,3,6,3]
[1,3,4,4,2,5]=>[3,1,2,4,3,6]
[1,3,4,4,5,2]=>[4,1,2,3,3,6]
[1,3,4,5,2,4]=>[3,1,2,4,6,3]
[1,3,4,5,4,2]=>[3,1,2,3,5,4]
[1,3,5,2,4,4]=>[3,1,4,2,5,5]
[1,3,5,4,2,4]=>[4,1,3,2,5,4]
[1,3,5,4,4,2]=>[4,1,3,2,4,5]
[1,4,2,3,4,5]=>[3,2,1,2,5,4]
[1,4,2,3,5,4]=>[5,3,1,2,6,2]
[1,4,2,4,3,5]=>[2,2,1,4,3,6]
[1,4,2,4,5,3]=>[2,4,1,2,3,6]
[1,4,2,5,3,4]=>[5,2,1,3,6,2]
[1,4,2,5,4,3]=>[4,2,1,2,6,3]
[1,4,3,2,4,5]=>[2,3,1,2,5,4]
[1,4,3,2,5,4]=>[3,5,1,2,6,2]
[1,4,3,4,2,5]=>[2,2,1,3,4,5]
[1,4,3,4,5,2]=>[4,2,1,2,3,6]
[1,4,3,5,2,4]=>[2,5,1,3,6,2]
[1,4,3,5,4,2]=>[2,4,1,2,6,3]
[1,4,4,2,3,5]=>[2,3,1,5,2,6]
[1,4,4,2,5,3]=>[2,5,1,3,2,6]
[1,4,4,3,2,5]=>[3,2,1,5,2,6]
[1,4,4,3,5,2]=>[5,2,1,3,2,6]
[1,4,4,5,2,3]=>[3,5,1,2,2,6]
[1,4,4,5,3,2]=>[5,3,1,2,2,6]
[1,4,5,2,3,4]=>[3,2,1,5,6,2]
[1,4,5,2,4,3]=>[2,2,1,3,5,4]
[1,4,5,3,2,4]=>[2,3,1,5,6,2]
[1,4,5,3,4,2]=>[2,2,1,4,6,3]
[1,4,5,4,2,3]=>[2,3,1,2,4,5]
[1,4,5,4,3,2]=>[3,2,1,2,4,5]
[1,5,2,3,4,4]=>[2,3,4,1,5,5]
[1,5,2,4,3,4]=>[2,4,3,1,5,4]
[1,5,2,4,4,3]=>[2,4,3,1,4,5]
[1,5,3,2,4,4]=>[3,2,4,1,5,5]
[1,5,3,4,2,4]=>[4,2,3,1,5,4]
[1,5,3,4,4,2]=>[4,2,3,1,4,5]
[1,5,4,2,3,4]=>[4,3,2,1,6,3]
[1,5,4,2,4,3]=>[3,3,2,1,4,5]
[1,5,4,3,2,4]=>[3,4,2,1,6,3]
[1,5,4,3,4,2]=>[3,3,2,1,5,4]
[1,5,4,4,2,3]=>[3,4,2,1,3,6]
[1,5,4,4,3,2]=>[4,3,2,1,3,6]
[2,1,3,4,4,5]=>[4,3,2,5,4,1]
[2,1,3,4,5,4]=>[3,2,3,4,5,1]
[2,1,3,5,4,4]=>[4,2,3,6,3,1]
[2,1,4,3,4,5]=>[4,3,2,4,5,1]
[2,1,4,3,5,4]=>[4,2,3,3,6,1]
[2,1,4,4,3,5]=>[3,4,2,5,5,1]
[2,1,4,4,5,3]=>[2,4,3,5,5,1]
[2,1,4,5,3,4]=>[3,2,4,3,6,1]
[2,1,4,5,4,3]=>[2,3,4,4,5,1]
[2,1,5,3,4,4]=>[3,2,4,6,3,1]
[2,1,5,4,3,4]=>[3,2,3,5,4,1]
[2,1,5,4,4,3]=>[2,3,4,5,4,1]
[2,3,1,4,4,5]=>[1,4,3,5,5,2]
[2,3,1,4,5,4]=>[1,3,4,4,5,2]
[2,3,1,5,4,4]=>[1,3,4,5,4,2]
[2,3,4,1,4,5]=>[1,2,3,6,3,4]
[2,3,4,1,5,4]=>[1,2,3,5,4,3]
[2,3,4,4,1,5]=>[1,2,5,3,6,3]
[2,3,4,4,5,1]=>[1,2,3,3,6,4]
[2,3,4,5,1,4]=>[1,2,5,6,3,3]
[2,3,4,5,4,1]=>[1,2,3,4,5,3]
[2,3,5,1,4,4]=>[1,4,2,5,5,3]
[2,3,5,4,1,4]=>[1,3,2,6,4,4]
[2,3,5,4,4,1]=>[1,3,2,4,6,4]
[2,4,1,3,4,5]=>[2,1,2,6,3,4]
[2,4,1,3,5,4]=>[3,1,2,4,5,2]
[2,4,1,4,3,5]=>[2,1,3,6,2,5]
[2,4,1,4,5,3]=>[3,1,2,6,2,5]
[2,4,1,5,3,4]=>[2,1,3,4,5,2]
[2,4,1,5,4,3]=>[2,1,2,5,4,3]
[2,4,3,1,4,5]=>[5,1,2,6,2,3]
[2,4,3,1,5,4]=>[4,1,2,6,3,2]
[2,4,3,4,1,5]=>[2,1,4,3,6,2]
[2,4,3,4,5,1]=>[2,1,2,3,6,4]
[2,4,3,5,1,4]=>[5,1,4,6,2,2]
[2,4,3,5,4,1]=>[3,1,2,5,4,2]
[2,4,4,1,3,5]=>[5,1,4,2,6,2]
[2,4,4,1,5,3]=>[4,1,5,2,6,2]
[2,4,4,3,1,5]=>[2,1,5,2,6,3]
[2,4,4,3,5,1]=>[2,1,3,2,6,5]
[2,4,4,5,1,3]=>[5,1,2,2,6,3]
[2,4,4,5,3,1]=>[3,1,2,2,6,5]
[2,4,5,1,3,4]=>[2,1,4,6,3,2]
[2,4,5,1,4,3]=>[2,1,5,6,2,3]
[2,4,5,3,1,4]=>[4,1,5,6,2,2]
[2,4,5,3,4,1]=>[2,1,3,5,4,2]
[2,4,5,4,1,3]=>[4,1,2,3,6,2]
[2,4,5,4,3,1]=>[2,1,2,4,5,3]
[2,5,1,3,4,4]=>[4,3,1,5,4,2]
[2,5,1,4,3,4]=>[4,3,1,4,5,2]
[2,5,1,4,4,3]=>[3,4,1,5,5,2]
[2,5,3,1,4,4]=>[2,4,1,5,5,3]
[2,5,3,4,1,4]=>[2,3,1,6,4,4]
[2,5,3,4,4,1]=>[2,3,1,4,6,4]
[2,5,4,1,3,4]=>[3,2,1,5,4,3]
[2,5,4,1,4,3]=>[3,2,1,6,3,4]
[2,5,4,3,1,4]=>[5,2,1,6,3,3]
[2,5,4,3,4,1]=>[3,2,1,4,5,3]
[2,5,4,4,1,3]=>[5,2,1,3,6,3]
[2,5,4,4,3,1]=>[3,2,1,3,6,4]
[3,1,2,4,4,5]=>[2,3,6,3,1,4]
[3,1,2,4,5,4]=>[3,2,6,4,1,4]
[3,1,2,5,4,4]=>[2,3,5,4,1,3]
[3,1,4,2,4,5]=>[2,3,3,6,1,4]
[3,1,4,2,5,4]=>[3,2,4,6,1,4]
[3,1,4,4,2,5]=>[4,2,5,5,1,3]
[3,1,4,4,5,2]=>[4,3,5,5,1,2]
[3,1,4,5,2,4]=>[2,5,3,6,1,3]
[3,1,4,5,4,2]=>[3,4,4,5,1,2]
[3,1,5,2,4,4]=>[2,5,6,3,1,3]
[3,1,5,4,2,4]=>[2,3,4,5,1,3]
[3,1,5,4,4,2]=>[3,4,5,4,1,2]
[3,2,1,4,4,5]=>[3,2,6,4,4,1]
[3,2,1,4,5,4]=>[2,3,6,3,4,1]
[3,2,1,5,4,4]=>[2,3,5,4,3,1]
[3,2,4,1,4,5]=>[3,2,4,6,4,1]
[3,2,4,1,5,4]=>[2,3,3,6,4,1]
[3,2,4,4,1,5]=>[4,2,5,5,3,1]
[3,2,4,4,5,1]=>[4,3,5,5,2,1]
[3,2,4,5,1,4]=>[2,5,3,6,3,1]
[3,2,4,5,4,1]=>[3,4,4,5,2,1]
[3,2,5,1,4,4]=>[2,5,6,3,3,1]
[3,2,5,4,1,4]=>[2,3,4,5,3,1]
[3,2,5,4,4,1]=>[3,4,5,4,2,1]
[3,4,1,2,4,5]=>[1,2,4,5,2,3]
[3,4,1,2,5,4]=>[1,2,5,4,3,2]
[3,4,1,4,2,5]=>[1,4,6,2,5,2]
[3,4,1,4,5,2]=>[1,2,6,2,5,3]
[3,4,1,5,2,4]=>[1,4,3,6,2,2]
[3,4,1,5,4,2]=>[1,2,6,3,4,2]
[3,4,2,1,4,5]=>[1,2,5,4,2,3]
[3,4,2,1,5,4]=>[1,2,4,5,3,2]
[3,4,2,4,1,5]=>[1,4,6,2,2,5]
[3,4,2,4,5,1]=>[1,2,6,2,3,5]
[3,4,2,5,1,4]=>[1,3,4,5,2,2]
[3,4,2,5,4,1]=>[1,2,6,3,2,4]
[3,4,4,1,2,5]=>[1,4,2,6,2,5]
[3,4,4,1,5,2]=>[1,5,2,6,2,4]
[3,4,4,2,1,5]=>[1,4,2,6,5,2]
[3,4,4,2,5,1]=>[1,5,2,6,4,2]
[3,4,4,5,1,2]=>[1,2,2,6,3,5]
[3,4,4,5,2,1]=>[1,2,2,6,5,3]
[3,4,5,1,2,4]=>[1,3,5,4,2,2]
[3,4,5,1,4,2]=>[1,5,6,2,4,2]
[3,4,5,2,1,4]=>[1,4,6,3,2,2]
[3,4,5,2,4,1]=>[1,5,6,2,2,4]
[3,4,5,4,1,2]=>[1,2,3,6,2,4]
[3,4,5,4,2,1]=>[1,2,3,6,4,2]
[3,5,1,2,4,4]=>[3,1,6,4,2,4]
[3,5,1,4,2,4]=>[3,1,4,6,2,4]
[3,5,1,4,4,2]=>[4,1,5,5,2,3]
[3,5,2,1,4,4]=>[3,1,6,4,4,2]
[3,5,2,4,1,4]=>[3,1,4,6,4,2]
[3,5,2,4,4,1]=>[4,1,5,5,3,2]
[3,5,4,1,2,4]=>[2,1,4,5,3,3]
[3,5,4,1,4,2]=>[2,1,6,3,5,3]
[3,5,4,2,1,4]=>[2,1,5,4,3,3]
[3,5,4,2,4,1]=>[2,1,6,3,3,5]
[3,5,4,4,1,2]=>[2,1,3,6,3,5]
[3,5,4,4,2,1]=>[2,1,3,6,5,3]
[4,1,2,3,4,5]=>[1,6,3,4,1,2]
[4,1,2,3,5,4]=>[1,5,4,3,2,1]
[4,1,2,4,3,5]=>[3,2,6,1,5,1]
[4,1,2,4,5,3]=>[1,3,6,1,4,2]
[4,1,2,5,3,4]=>[3,6,2,5,1,1]
[4,1,2,5,4,3]=>[1,4,5,2,3,1]
[4,1,3,2,4,5]=>[1,5,4,3,1,2]
[4,1,3,2,5,4]=>[1,6,3,4,2,1]
[4,1,3,4,2,5]=>[3,2,6,1,1,5]
[4,1,3,4,5,2]=>[1,3,6,1,2,4]
[4,1,3,5,2,4]=>[2,6,3,4,1,1]
[4,1,3,5,4,2]=>[1,4,5,2,1,3]
[4,1,4,2,3,5]=>[3,6,1,5,1,4]
[4,1,4,2,5,3]=>[4,6,1,5,1,3]
[4,1,4,3,2,5]=>[3,6,1,5,4,1]
[4,1,4,3,5,2]=>[4,6,1,5,3,1]
[4,1,4,5,2,3]=>[1,6,1,5,2,4]
[4,1,4,5,3,2]=>[1,6,1,5,4,2]
[4,1,5,2,3,4]=>[2,5,4,3,1,1]
[4,1,5,2,4,3]=>[5,2,6,1,3,1]
[4,1,5,3,2,4]=>[3,4,5,2,1,1]
[4,1,5,3,4,2]=>[5,2,6,1,1,3]
[4,1,5,4,2,3]=>[1,6,2,5,1,3]
[4,1,5,4,3,2]=>[1,6,2,5,3,1]
[4,2,1,3,4,5]=>[1,3,6,4,1,2]
[4,2,1,3,5,4]=>[1,4,5,3,2,1]
[4,2,1,4,3,5]=>[3,6,2,1,5,1]
[4,2,1,4,5,3]=>[1,6,3,1,4,2]
[4,2,1,5,3,4]=>[3,2,6,5,1,1]
[4,2,1,5,4,3]=>[1,5,4,2,3,1]
[4,2,3,1,4,5]=>[1,5,4,1,3,2]
[4,2,3,1,5,4]=>[1,6,3,2,4,1]
[4,2,3,4,1,5]=>[2,3,6,1,1,4]
[4,2,3,4,5,1]=>[1,3,6,2,1,4]
[4,2,3,5,1,4]=>[2,6,3,1,4,1]
[4,2,3,5,4,1]=>[1,4,5,1,2,3]
[4,2,4,1,3,5]=>[4,6,1,1,5,3]
[4,2,4,1,5,3]=>[3,6,1,1,5,4]
[4,2,4,3,1,5]=>[3,6,1,4,5,1]
[4,2,4,3,5,1]=>[4,6,1,3,5,1]
[4,2,4,5,1,3]=>[1,6,1,2,5,4]
[4,2,4,5,3,1]=>[1,6,1,4,5,2]
[4,2,5,1,3,4]=>[5,2,6,3,1,1]
[4,2,5,1,4,3]=>[2,5,4,1,3,1]
[4,2,5,3,1,4]=>[3,4,5,1,2,1]
[4,2,5,3,4,1]=>[4,3,6,1,1,2]
[4,2,5,4,1,3]=>[1,6,2,1,5,3]
[4,2,5,4,3,1]=>[1,6,2,3,5,1]
[4,3,1,2,4,5]=>[1,4,5,3,1,2]
[4,3,1,2,5,4]=>[1,3,6,4,2,1]
[4,3,1,4,2,5]=>[3,6,2,1,1,5]
[4,3,1,4,5,2]=>[1,6,3,1,2,4]
[4,3,1,5,2,4]=>[2,3,6,4,1,1]
[4,3,1,5,4,2]=>[1,5,4,2,1,3]
[4,3,2,1,4,5]=>[1,4,5,1,3,2]
[4,3,2,1,5,4]=>[1,3,6,2,4,1]
[4,3,2,4,1,5]=>[2,6,3,1,1,4]
[4,3,2,4,5,1]=>[1,6,3,2,1,4]
[4,3,2,5,1,4]=>[2,3,6,1,4,1]
[4,3,2,5,4,1]=>[1,5,4,1,2,3]
[4,3,4,1,2,5]=>[4,6,1,1,3,5]
[4,3,4,1,5,2]=>[3,6,1,1,4,5]
[4,3,4,2,1,5]=>[4,6,1,3,1,5]
[4,3,4,2,5,1]=>[3,6,1,4,1,5]
[4,3,4,5,1,2]=>[1,6,1,2,4,5]
[4,3,4,5,2,1]=>[1,6,1,4,2,5]
[4,3,5,1,2,4]=>[4,3,6,2,1,1]
[4,3,5,1,4,2]=>[2,5,4,1,1,3]
[4,3,5,2,1,4]=>[4,3,6,1,2,1]
[4,3,5,2,4,1]=>[3,4,5,1,1,2]
[4,3,5,4,1,2]=>[1,6,2,1,3,5]
[4,3,5,4,2,1]=>[1,6,2,3,1,5]
[4,4,1,2,3,5]=>[4,1,6,1,5,3]
[4,4,1,2,5,3]=>[3,1,6,1,5,4]
[4,4,1,3,2,5]=>[4,1,6,1,3,5]
[4,4,1,3,5,2]=>[3,1,6,1,4,5]
[4,4,1,5,2,3]=>[5,1,6,1,4,3]
[4,4,1,5,3,2]=>[5,1,6,1,3,4]
[4,4,2,1,3,5]=>[3,1,6,5,1,4]
[4,4,2,1,5,3]=>[4,1,6,5,1,3]
[4,4,2,3,1,5]=>[4,1,6,3,1,5]
[4,4,2,3,5,1]=>[3,1,6,4,1,5]
[4,4,2,5,1,3]=>[5,1,6,4,1,3]
[4,4,2,5,3,1]=>[5,1,6,3,1,4]
[4,4,3,1,2,5]=>[3,1,6,5,4,1]
[4,4,3,1,5,2]=>[4,1,6,5,3,1]
[4,4,3,2,1,5]=>[3,1,6,4,5,1]
[4,4,3,2,5,1]=>[4,1,6,3,5,1]
[4,4,3,5,1,2]=>[5,1,6,4,3,1]
[4,4,3,5,2,1]=>[5,1,6,3,4,1]
[4,4,5,1,2,3]=>[1,1,6,2,5,4]
[4,4,5,1,3,2]=>[1,1,6,2,4,5]
[4,4,5,2,1,3]=>[1,1,6,5,2,4]
[4,4,5,2,3,1]=>[1,1,6,4,2,5]
[4,4,5,3,1,2]=>[1,1,6,5,4,2]
[4,4,5,3,2,1]=>[1,1,6,4,5,2]
[4,5,1,2,3,4]=>[5,6,2,3,1,1]
[4,5,1,2,4,3]=>[2,4,5,1,3,1]
[4,5,1,3,2,4]=>[4,6,3,2,1,1]
[4,5,1,3,4,2]=>[2,4,5,1,1,3]
[4,5,1,4,2,3]=>[5,6,1,4,1,3]
[4,5,1,4,3,2]=>[5,6,1,4,3,1]
[4,5,2,1,3,4]=>[2,4,5,3,1,1]
[4,5,2,1,4,3]=>[5,6,2,1,3,1]
[4,5,2,3,1,4]=>[4,6,3,1,2,1]
[4,5,2,3,4,1]=>[3,5,4,1,1,2]
[4,5,2,4,1,3]=>[5,6,1,1,4,3]
[4,5,2,4,3,1]=>[5,6,1,3,4,1]
[4,5,3,1,2,4]=>[3,5,4,2,1,1]
[4,5,3,1,4,2]=>[5,6,2,1,1,3]
[4,5,3,2,1,4]=>[3,5,4,1,2,1]
[4,5,3,2,4,1]=>[4,6,3,1,1,2]
[4,5,3,4,1,2]=>[5,6,1,1,3,4]
[4,5,3,4,2,1]=>[5,6,1,3,1,4]
[4,5,4,1,2,3]=>[1,2,6,1,5,3]
[4,5,4,1,3,2]=>[1,2,6,1,3,5]
[4,5,4,2,1,3]=>[1,2,6,5,1,3]
[4,5,4,2,3,1]=>[1,2,6,3,1,5]
[4,5,4,3,1,2]=>[1,2,6,5,3,1]
[4,5,4,3,2,1]=>[1,2,6,3,5,1]
[5,1,2,3,4,4]=>[4,5,1,3,3,2]
[5,1,2,4,3,4]=>[6,4,1,4,2,3]
[5,1,2,4,4,3]=>[6,3,1,5,3,2]
[5,1,3,2,4,4]=>[5,4,1,3,3,2]
[5,1,3,4,2,4]=>[6,4,1,2,4,3]
[5,1,3,4,4,2]=>[6,3,1,3,5,2]
[5,1,4,2,3,4]=>[4,6,1,4,2,3]
[5,1,4,2,4,3]=>[3,6,1,5,3,2]
[5,1,4,3,2,4]=>[4,6,1,2,4,3]
[5,1,4,3,4,2]=>[3,6,1,3,5,2]
[5,1,4,4,2,3]=>[5,5,1,2,3,4]
[5,1,4,4,3,2]=>[5,5,1,3,2,4]
[5,2,1,3,4,4]=>[4,5,3,1,3,2]
[5,2,1,4,3,4]=>[6,3,5,1,3,2]
[5,2,1,4,4,3]=>[6,4,4,1,2,3]
[5,2,3,1,4,4]=>[5,4,3,1,3,2]
[5,2,3,4,1,4]=>[6,4,2,1,4,3]
[5,2,3,4,4,1]=>[6,3,3,1,5,2]
[5,2,4,1,3,4]=>[3,6,5,1,3,2]
[5,2,4,1,4,3]=>[4,6,4,1,2,3]
[5,2,4,3,1,4]=>[4,6,2,1,4,3]
[5,2,4,3,4,1]=>[3,6,3,1,5,2]
[5,2,4,4,1,3]=>[5,5,2,1,3,4]
[5,2,4,4,3,1]=>[5,5,3,1,2,4]
[5,3,1,2,4,4]=>[4,5,3,3,1,2]
[5,3,1,4,2,4]=>[6,3,5,3,1,2]
[5,3,1,4,4,2]=>[6,4,4,2,1,3]
[5,3,2,1,4,4]=>[5,4,3,3,1,2]
[5,3,2,4,1,4]=>[6,3,3,5,1,2]
[5,3,2,4,4,1]=>[6,4,2,4,1,3]
[5,3,4,1,2,4]=>[3,6,5,3,1,2]
[5,3,4,1,4,2]=>[4,6,4,2,1,3]
[5,3,4,2,1,4]=>[3,6,3,5,1,2]
[5,3,4,2,4,1]=>[4,6,2,4,1,3]
[5,3,4,4,1,2]=>[5,5,2,3,1,4]
[5,3,4,4,2,1]=>[5,5,3,2,1,4]
[5,4,1,2,3,4]=>[6,3,4,2,2,1]
[5,4,1,2,4,3]=>[3,6,2,4,2,1]
[5,4,1,3,2,4]=>[5,4,3,2,2,1]
[5,4,1,3,4,2]=>[3,6,2,2,4,1]
[5,4,1,4,2,3]=>[6,2,5,4,2,1]
[5,4,1,4,3,2]=>[6,2,5,2,4,1]
[5,4,2,1,3,4]=>[3,6,4,2,2,1]
[5,4,2,1,4,3]=>[6,3,2,4,2,1]
[5,4,2,3,1,4]=>[5,4,2,3,2,1]
[5,4,2,3,4,1]=>[4,5,2,2,3,1]
[5,4,2,4,1,3]=>[6,2,4,5,2,1]
[5,4,2,4,3,1]=>[6,2,2,5,4,1]
[5,4,3,1,2,4]=>[4,5,3,2,2,1]
[5,4,3,1,4,2]=>[6,3,2,2,4,1]
[5,4,3,2,1,4]=>[4,5,2,3,2,1]
[5,4,3,2,4,1]=>[5,4,2,2,3,1]
[5,4,3,4,1,2]=>[6,2,4,2,5,1]
[5,4,3,4,2,1]=>[6,2,2,4,5,1]
[5,4,4,1,2,3]=>[2,6,5,4,2,1]
[5,4,4,1,3,2]=>[2,6,5,2,4,1]
[5,4,4,2,1,3]=>[2,6,4,5,2,1]
[5,4,4,2,3,1]=>[2,6,2,5,4,1]
[5,4,4,3,1,2]=>[2,6,4,2,5,1]
[5,4,4,3,2,1]=>[2,6,2,4,5,1]
[1,2,3,4,4,6]=>[1,2,3,4,4,6]
[1,2,3,4,6,4]=>[1,2,3,5,4,4]
[1,2,3,6,4,4]=>[1,2,4,5,3,5]
[1,2,4,3,4,6]=>[1,3,2,4,3,5]
[1,2,4,3,6,4]=>[1,4,2,6,3,3]
[1,2,4,4,3,6]=>[1,3,2,3,4,6]
[1,2,4,4,6,3]=>[1,5,2,3,3,6]
[1,2,4,6,3,4]=>[1,3,2,6,4,3]
[1,2,4,6,4,3]=>[1,3,2,5,3,4]
[1,2,6,3,4,4]=>[1,4,3,5,2,4]
[1,2,6,4,3,4]=>[1,3,4,5,2,5]
[1,2,6,4,4,3]=>[1,4,3,4,2,5]
[1,3,2,4,4,6]=>[2,1,3,4,4,6]
[1,3,2,4,6,4]=>[2,1,3,5,4,4]
[1,3,2,6,4,4]=>[2,1,4,5,3,5]
[1,3,4,2,4,6]=>[3,1,2,4,3,5]
[1,3,4,2,6,4]=>[4,1,2,6,3,3]
[1,3,4,4,2,6]=>[3,1,2,3,4,6]
[1,3,4,4,6,2]=>[5,1,2,3,3,6]
[1,3,4,6,2,4]=>[3,1,2,6,4,3]
[1,3,4,6,4,2]=>[3,1,2,5,3,4]
[1,3,6,2,4,4]=>[4,1,3,5,2,4]
[1,3,6,4,2,4]=>[3,1,4,5,2,5]
[1,3,6,4,4,2]=>[4,1,3,4,2,5]
[1,4,2,3,4,6]=>[3,2,1,5,2,4]
[1,4,2,3,6,4]=>[5,3,1,6,2,2]
[1,4,2,4,3,6]=>[2,2,1,3,4,6]
[1,4,2,4,6,3]=>[2,4,1,3,2,6]
[1,4,2,6,3,4]=>[5,2,1,6,3,2]
[1,4,2,6,4,3]=>[4,2,1,6,2,3]
[1,4,3,2,4,6]=>[2,3,1,5,2,4]
[1,4,3,2,6,4]=>[3,5,1,6,2,2]
[1,4,3,4,2,6]=>[2,2,1,4,3,5]
[1,4,3,4,6,2]=>[4,2,1,3,2,6]
[1,4,3,6,2,4]=>[2,5,1,6,3,2]
[1,4,3,6,4,2]=>[2,4,1,6,2,3]
[1,4,4,2,3,6]=>[2,3,1,2,5,6]
[1,4,4,2,6,3]=>[2,5,1,2,3,6]
[1,4,4,3,2,6]=>[3,2,1,2,5,6]
[1,4,4,3,6,2]=>[5,2,1,2,3,6]
[1,4,4,6,2,3]=>[4,5,1,2,2,6]
[1,4,4,6,3,2]=>[5,4,1,2,2,6]
[1,4,6,2,3,4]=>[3,2,1,6,5,2]
[1,4,6,2,4,3]=>[2,2,1,5,3,4]
[1,4,6,3,2,4]=>[2,3,1,6,5,2]
[1,4,6,3,4,2]=>[2,2,1,6,4,3]
[1,4,6,4,2,3]=>[2,3,1,4,2,5]
[1,4,6,4,3,2]=>[3,2,1,4,2,5]
[1,6,2,3,4,4]=>[4,3,2,6,1,3]
[1,6,2,4,3,4]=>[4,2,3,5,1,4]
[1,6,2,4,4,3]=>[3,3,2,4,1,5]
[1,6,3,2,4,4]=>[3,4,2,6,1,3]
[1,6,3,4,2,4]=>[2,4,3,5,1,4]
[1,6,3,4,4,2]=>[3,3,2,5,1,4]
[1,6,4,2,3,4]=>[2,3,4,5,1,5]
[1,6,4,2,4,3]=>[2,4,3,4,1,5]
[1,6,4,3,2,4]=>[3,2,4,5,1,5]
[1,6,4,3,4,2]=>[4,2,3,4,1,5]
[1,6,4,4,2,3]=>[3,4,2,3,1,6]
[1,6,4,4,3,2]=>[4,3,2,3,1,6]
[2,1,3,4,4,6]=>[4,3,5,2,4,1]
[2,1,3,4,6,4]=>[3,2,4,3,5,1]
[2,1,3,6,4,4]=>[4,2,6,3,3,1]
[2,1,4,3,4,6]=>[4,3,4,2,5,1]
[2,1,4,3,6,4]=>[5,2,3,3,6,1]
[2,1,4,4,3,6]=>[3,4,5,2,5,1]
[2,1,4,4,6,3]=>[2,4,5,3,5,1]
[2,1,4,6,3,4]=>[3,2,3,4,6,1]
[2,1,4,6,4,3]=>[2,3,4,4,6,1]
[2,1,6,3,4,4]=>[3,2,6,4,3,1]
[2,1,6,4,3,4]=>[3,2,5,3,4,1]
[2,1,6,4,4,3]=>[2,3,5,4,4,1]
[2,3,1,4,4,6]=>[1,4,5,3,5,2]
[2,3,1,4,6,4]=>[1,3,4,4,6,2]
[2,3,1,6,4,4]=>[1,3,5,4,4,2]
[2,3,4,1,4,6]=>[1,2,6,3,3,4]
[2,3,4,1,6,4]=>[1,2,5,3,4,3]
[2,3,4,4,1,6]=>[1,2,3,5,6,3]
[2,3,4,4,6,1]=>[1,2,3,3,6,5]
[2,3,4,6,1,4]=>[1,2,6,5,3,3]
[2,3,4,6,4,1]=>[1,2,4,3,5,3]
[2,3,6,1,4,4]=>[1,3,6,2,4,4]
[2,3,6,4,1,4]=>[1,4,5,2,5,3]
[2,3,6,4,4,1]=>[1,3,4,2,6,4]
[2,4,1,3,4,6]=>[2,1,6,2,3,4]
[2,4,1,3,6,4]=>[3,1,4,2,5,2]
[2,4,1,4,3,6]=>[2,1,6,3,2,5]
[2,4,1,4,6,3]=>[3,1,6,2,2,5]
[2,4,1,6,3,4]=>[2,1,4,3,5,2]
[2,4,1,6,4,3]=>[2,1,5,2,4,3]
[2,4,3,1,4,6]=>[5,1,6,2,2,3]
[2,4,3,1,6,4]=>[4,1,6,2,3,2]
[2,4,3,4,1,6]=>[2,1,3,4,6,2]
[2,4,3,4,6,1]=>[2,1,3,2,6,4]
[2,4,3,6,1,4]=>[5,1,6,4,2,2]
[2,4,3,6,4,1]=>[3,1,5,2,4,2]
[2,4,4,1,3,6]=>[5,1,2,4,6,2]
[2,4,4,1,6,3]=>[4,1,2,5,6,2]
[2,4,4,3,1,6]=>[2,1,2,5,6,3]
[2,4,4,3,6,1]=>[2,1,2,3,6,5]
[2,4,4,6,1,3]=>[5,1,2,2,6,4]
[2,4,4,6,3,1]=>[4,1,2,2,6,5]
[2,4,6,1,3,4]=>[2,1,6,4,3,2]
[2,4,6,1,4,3]=>[2,1,6,5,2,3]
[2,4,6,3,1,4]=>[4,1,6,5,2,2]
[2,4,6,3,4,1]=>[2,1,5,3,4,2]
[2,4,6,4,1,3]=>[4,1,3,2,6,2]
[2,4,6,4,3,1]=>[2,1,4,2,5,3]
[2,6,1,3,4,4]=>[2,3,6,1,4,4]
[2,6,1,4,3,4]=>[3,2,5,1,4,3]
[2,6,1,4,4,3]=>[3,2,6,1,3,4]
[2,6,3,1,4,4]=>[5,2,6,1,3,3]
[2,6,3,4,1,4]=>[4,3,5,1,4,2]
[2,6,3,4,4,1]=>[3,2,4,1,5,3]
[2,6,4,1,3,4]=>[4,3,4,1,5,2]
[2,6,4,1,4,3]=>[3,4,5,1,5,2]
[2,6,4,3,1,4]=>[2,4,5,1,5,3]
[2,6,4,3,4,1]=>[2,3,4,1,6,4]
[2,6,4,4,1,3]=>[5,2,3,1,6,3]
[2,6,4,4,3,1]=>[3,2,3,1,6,4]
[3,1,2,4,4,6]=>[2,6,3,3,1,4]
[3,1,2,4,6,4]=>[3,6,2,4,1,4]
[3,1,2,6,4,4]=>[2,5,3,4,1,3]
[3,1,4,2,4,6]=>[2,3,3,6,1,5]
[3,1,4,2,6,4]=>[3,4,2,6,1,4]
[3,1,4,4,2,6]=>[4,5,2,5,1,3]
[3,1,4,4,6,2]=>[4,5,3,5,1,2]
[3,1,4,6,2,4]=>[2,3,5,6,1,3]
[3,1,4,6,4,2]=>[3,4,4,6,1,2]
[3,1,6,2,4,4]=>[2,6,5,3,1,3]
[3,1,6,4,2,4]=>[2,4,3,5,1,3]
[3,1,6,4,4,2]=>[3,5,4,4,1,2]
[3,2,1,4,4,6]=>[3,6,2,4,4,1]
[3,2,1,4,6,4]=>[2,6,3,3,4,1]
[3,2,1,6,4,4]=>[2,5,3,4,3,1]
[3,2,4,1,4,6]=>[3,4,2,6,4,1]
[3,2,4,1,6,4]=>[2,3,3,6,5,1]
[3,2,4,4,1,6]=>[4,5,2,5,3,1]
[3,2,4,4,6,1]=>[4,5,3,5,2,1]
[3,2,4,6,1,4]=>[2,3,5,6,3,1]
[3,2,4,6,4,1]=>[3,4,4,6,2,1]
[3,2,6,1,4,4]=>[2,6,5,3,3,1]
[3,2,6,4,1,4]=>[2,4,3,5,3,1]
[3,2,6,4,4,1]=>[3,5,4,4,2,1]
[3,4,1,2,4,6]=>[1,4,2,5,2,3]
[3,4,1,2,6,4]=>[1,5,2,4,3,2]
[3,4,1,4,2,6]=>[1,6,4,2,5,2]
[3,4,1,4,6,2]=>[1,6,2,2,5,3]
[3,4,1,6,2,4]=>[1,3,4,6,2,2]
[3,4,1,6,4,2]=>[1,6,2,3,4,2]
[3,4,2,1,4,6]=>[1,5,2,4,2,3]
[3,4,2,1,6,4]=>[1,4,2,5,3,2]
[3,4,2,4,1,6]=>[1,6,4,2,2,5]
[3,4,2,4,6,1]=>[1,6,2,2,3,5]
[3,4,2,6,1,4]=>[1,4,3,5,2,2]
[3,4,2,6,4,1]=>[1,6,2,3,2,4]
[3,4,4,1,2,6]=>[1,2,4,6,2,5]
[3,4,4,1,6,2]=>[1,2,5,6,2,4]
[3,4,4,2,1,6]=>[1,2,4,6,5,2]
[3,4,4,2,6,1]=>[1,2,5,6,4,2]
[3,4,4,6,1,2]=>[1,2,2,6,4,5]
[3,4,4,6,2,1]=>[1,2,2,6,5,4]
[3,4,6,1,2,4]=>[1,5,3,4,2,2]
[3,4,6,1,4,2]=>[1,6,5,2,4,2]
[3,4,6,2,1,4]=>[1,6,4,3,2,2]
[3,4,6,2,4,1]=>[1,6,5,2,2,4]
[3,4,6,4,1,2]=>[1,3,2,6,2,4]
[3,4,6,4,2,1]=>[1,3,2,6,4,2]
[3,6,1,2,4,4]=>[3,6,1,4,4,2]
[3,6,1,4,2,4]=>[2,4,1,5,3,3]
[3,6,1,4,4,2]=>[2,6,1,3,5,3]
[3,6,2,1,4,4]=>[3,6,1,4,2,4]
[3,6,2,4,1,4]=>[2,5,1,4,3,3]
[3,6,2,4,4,1]=>[2,6,1,3,3,5]
[3,6,4,1,2,4]=>[3,4,1,6,2,4]
[3,6,4,1,4,2]=>[4,5,1,5,2,3]
[3,6,4,2,1,4]=>[3,4,1,6,4,2]
[3,6,4,2,4,1]=>[4,5,1,5,3,2]
[3,6,4,4,1,2]=>[2,3,1,6,3,5]
[3,6,4,4,2,1]=>[2,3,1,6,5,3]
[4,1,2,3,4,6]=>[6,1,3,4,1,2]
[4,1,2,3,6,4]=>[5,1,4,3,2,1]
[4,1,2,4,3,6]=>[2,3,6,1,5,1]
[4,1,2,4,6,3]=>[3,1,6,1,4,2]
[4,1,2,6,3,4]=>[6,3,2,5,1,1]
[4,1,2,6,4,3]=>[4,1,5,2,3,1]
[4,1,3,2,4,6]=>[5,1,4,3,1,2]
[4,1,3,2,6,4]=>[6,1,3,4,2,1]
[4,1,3,4,2,6]=>[2,3,6,1,1,5]
[4,1,3,4,6,2]=>[3,1,6,1,2,4]
[4,1,3,6,2,4]=>[6,2,3,4,1,1]
[4,1,3,6,4,2]=>[4,1,5,2,1,3]
[4,1,4,2,3,6]=>[6,3,1,5,1,4]
[4,1,4,2,6,3]=>[6,4,1,5,1,3]
[4,1,4,3,2,6]=>[6,3,1,5,4,1]
[4,1,4,3,6,2]=>[6,4,1,5,3,1]
[4,1,4,6,2,3]=>[6,1,1,5,2,4]
[4,1,4,6,3,2]=>[6,1,1,5,4,2]
[4,1,6,2,3,4]=>[5,2,4,3,1,1]
[4,1,6,2,4,3]=>[2,5,6,1,3,1]
[4,1,6,3,2,4]=>[4,3,5,2,1,1]
[4,1,6,3,4,2]=>[2,5,6,1,1,3]
[4,1,6,4,2,3]=>[6,1,2,5,1,3]
[4,1,6,4,3,2]=>[6,1,2,5,3,1]
[4,2,1,3,4,6]=>[3,1,6,4,1,2]
[4,2,1,3,6,4]=>[4,1,5,3,2,1]
[4,2,1,4,3,6]=>[6,3,2,1,5,1]
[4,2,1,4,6,3]=>[6,1,3,1,4,2]
[4,2,1,6,3,4]=>[2,3,6,5,1,1]
[4,2,1,6,4,3]=>[5,1,4,2,3,1]
[4,2,3,1,4,6]=>[5,1,4,1,3,2]
[4,2,3,1,6,4]=>[6,1,3,2,4,1]
[4,2,3,4,1,6]=>[3,2,6,1,1,4]
[4,2,3,4,6,1]=>[3,1,6,2,1,4]
[4,2,3,6,1,4]=>[6,2,3,1,4,1]
[4,2,3,6,4,1]=>[4,1,5,1,2,3]
[4,2,4,1,3,6]=>[6,4,1,1,5,3]
[4,2,4,1,6,3]=>[6,3,1,1,5,4]
[4,2,4,3,1,6]=>[6,3,1,4,5,1]
[4,2,4,3,6,1]=>[6,4,1,3,5,1]
[4,2,4,6,1,3]=>[6,1,1,2,5,4]
[4,2,4,6,3,1]=>[6,1,1,4,5,2]
[4,2,6,1,3,4]=>[2,5,6,3,1,1]
[4,2,6,1,4,3]=>[5,2,4,1,3,1]
[4,2,6,3,1,4]=>[4,3,5,1,2,1]
[4,2,6,3,4,1]=>[3,4,6,1,1,2]
[4,2,6,4,1,3]=>[6,1,2,1,5,3]
[4,2,6,4,3,1]=>[6,1,2,3,5,1]
[4,3,1,2,4,6]=>[4,1,5,3,1,2]
[4,3,1,2,6,4]=>[3,1,6,4,2,1]
[4,3,1,4,2,6]=>[6,3,2,1,1,5]
[4,3,1,4,6,2]=>[6,1,3,1,2,4]
[4,3,1,6,2,4]=>[3,2,6,4,1,1]
[4,3,1,6,4,2]=>[5,1,4,2,1,3]
[4,3,2,1,4,6]=>[4,1,5,1,3,2]
[4,3,2,1,6,4]=>[3,1,6,2,4,1]
[4,3,2,4,1,6]=>[6,2,3,1,1,4]
[4,3,2,4,6,1]=>[6,1,3,2,1,4]
[4,3,2,6,1,4]=>[3,2,6,1,4,1]
[4,3,2,6,4,1]=>[5,1,4,1,2,3]
[4,3,4,1,2,6]=>[6,4,1,1,3,5]
[4,3,4,1,6,2]=>[6,3,1,1,4,5]
[4,3,4,2,1,6]=>[6,4,1,3,1,5]
[4,3,4,2,6,1]=>[6,3,1,4,1,5]
[4,3,4,6,1,2]=>[6,1,1,2,4,5]
[4,3,4,6,2,1]=>[6,1,1,4,2,5]
[4,3,6,1,2,4]=>[3,4,6,2,1,1]
[4,3,6,1,4,2]=>[5,2,4,1,1,3]
[4,3,6,2,1,4]=>[3,4,6,1,2,1]
[4,3,6,2,4,1]=>[4,3,5,1,1,2]
[4,3,6,4,1,2]=>[6,1,2,1,3,5]
[4,3,6,4,2,1]=>[6,1,2,3,1,5]
[4,4,1,2,3,6]=>[1,4,6,1,5,3]
[4,4,1,2,6,3]=>[1,3,6,1,5,4]
[4,4,1,3,2,6]=>[1,4,6,1,3,5]
[4,4,1,3,6,2]=>[1,3,6,1,4,5]
[4,4,1,6,2,3]=>[1,5,6,1,4,3]
[4,4,1,6,3,2]=>[1,5,6,1,3,4]
[4,4,2,1,3,6]=>[1,3,6,5,1,4]
[4,4,2,1,6,3]=>[1,4,6,5,1,3]
[4,4,2,3,1,6]=>[1,4,6,3,1,5]
[4,4,2,3,6,1]=>[1,3,6,4,1,5]
[4,4,2,6,1,3]=>[1,5,6,4,1,3]
[4,4,2,6,3,1]=>[1,5,6,3,1,4]
[4,4,3,1,2,6]=>[1,3,6,5,4,1]
[4,4,3,1,6,2]=>[1,4,6,5,3,1]
[4,4,3,2,1,6]=>[1,3,6,4,5,1]
[4,4,3,2,6,1]=>[1,4,6,3,5,1]
[4,4,3,6,1,2]=>[1,5,6,4,3,1]
[4,4,3,6,2,1]=>[1,5,6,3,4,1]
[4,4,6,1,2,3]=>[1,1,6,3,5,4]
[4,4,6,1,3,2]=>[1,1,6,3,4,5]
[4,4,6,2,1,3]=>[1,1,6,5,3,4]
[4,4,6,2,3,1]=>[1,1,6,4,3,5]
[4,4,6,3,1,2]=>[1,1,6,5,4,3]
[4,4,6,3,2,1]=>[1,1,6,4,5,3]
[4,6,1,2,3,4]=>[6,5,2,3,1,1]
[4,6,1,2,4,3]=>[4,2,5,1,3,1]
[4,6,1,3,2,4]=>[6,4,3,2,1,1]
[4,6,1,3,4,2]=>[4,2,5,1,1,3]
[4,6,1,4,2,3]=>[6,5,1,4,1,3]
[4,6,1,4,3,2]=>[6,5,1,4,3,1]
[4,6,2,1,3,4]=>[4,2,5,3,1,1]
[4,6,2,1,4,3]=>[6,5,2,1,3,1]
[4,6,2,3,1,4]=>[6,4,3,1,2,1]
[4,6,2,3,4,1]=>[5,3,4,1,1,2]
[4,6,2,4,1,3]=>[6,5,1,1,4,3]
[4,6,2,4,3,1]=>[6,5,1,3,4,1]
[4,6,3,1,2,4]=>[5,3,4,2,1,1]
[4,6,3,1,4,2]=>[6,5,2,1,1,3]
[4,6,3,2,1,4]=>[5,3,4,1,2,1]
[4,6,3,2,4,1]=>[6,4,3,1,1,2]
[4,6,3,4,1,2]=>[6,5,1,1,3,4]
[4,6,3,4,2,1]=>[6,5,1,3,1,4]
[4,6,4,1,2,3]=>[2,1,6,1,5,3]
[4,6,4,1,3,2]=>[2,1,6,1,3,5]
[4,6,4,2,1,3]=>[2,1,6,5,1,3]
[4,6,4,2,3,1]=>[2,1,6,3,1,5]
[4,6,4,3,1,2]=>[2,1,6,5,3,1]
[4,6,4,3,2,1]=>[2,1,6,3,5,1]
[6,1,2,3,4,4]=>[5,1,4,2,3,4]
[6,1,2,4,3,4]=>[6,1,4,3,2,3]
[6,1,2,4,4,3]=>[4,1,3,3,2,5]
[6,1,3,2,4,4]=>[5,1,2,4,3,4]
[6,1,3,4,2,4]=>[6,1,3,4,2,3]
[6,1,3,4,4,2]=>[5,1,3,3,2,4]
[6,1,4,2,3,4]=>[5,1,2,3,4,5]
[6,1,4,2,4,3]=>[4,1,2,4,3,6]
[6,1,4,3,2,4]=>[5,1,3,2,4,5]
[6,1,4,3,4,2]=>[4,1,4,2,3,6]
[6,1,4,4,2,3]=>[3,1,3,5,2,6]
[6,1,4,4,3,2]=>[3,1,5,3,2,6]
[6,2,1,3,4,4]=>[6,4,1,3,2,3]
[6,2,1,4,3,4]=>[5,4,1,2,3,4]
[6,2,1,4,4,3]=>[4,3,1,3,2,5]
[6,2,3,1,4,4]=>[5,2,1,4,3,4]
[6,2,3,4,1,4]=>[6,3,1,4,2,3]
[6,2,3,4,4,1]=>[5,3,1,3,2,4]
[6,2,4,1,3,4]=>[5,2,1,3,4,5]
[6,2,4,1,4,3]=>[4,2,1,4,3,6]
[6,2,4,3,1,4]=>[5,3,1,2,4,5]
[6,2,4,3,4,1]=>[4,4,1,2,3,6]
[6,2,4,4,1,3]=>[3,3,1,5,2,6]
[6,2,4,4,3,1]=>[3,5,1,3,2,6]
[6,3,1,2,4,4]=>[6,4,3,1,2,3]
[6,3,1,4,2,4]=>[5,4,2,1,3,4]
[6,3,1,4,4,2]=>[4,3,3,1,2,5]
[6,3,2,1,4,4]=>[6,3,4,1,2,3]
[6,3,2,4,1,4]=>[5,2,4,1,3,4]
[6,3,2,4,4,1]=>[5,3,3,1,2,4]
[6,3,4,1,2,4]=>[5,2,3,1,4,5]
[6,3,4,1,4,2]=>[4,2,4,1,3,6]
[6,3,4,2,1,4]=>[5,3,2,1,4,5]
[6,3,4,2,4,1]=>[4,4,2,1,3,6]
[6,3,4,4,1,2]=>[3,3,5,1,2,6]
[6,3,4,4,2,1]=>[3,5,3,1,2,6]
[6,4,1,2,3,4]=>[6,5,3,2,1,2]
[6,4,1,2,4,3]=>[5,3,2,2,1,4]
[6,4,1,3,2,4]=>[6,5,2,3,1,2]
[6,4,1,3,4,2]=>[6,4,2,2,1,3]
[6,4,1,4,2,3]=>[3,2,2,4,1,6]
[6,4,1,4,3,2]=>[3,2,4,2,1,6]
[6,4,2,1,3,4]=>[6,3,5,2,1,2]
[6,4,2,1,4,3]=>[5,2,3,2,1,4]
[6,4,2,3,1,4]=>[6,2,5,3,1,2]
[6,4,2,3,4,1]=>[6,2,4,2,1,3]
[6,4,2,4,1,3]=>[4,2,2,3,1,5]
[6,4,2,4,3,1]=>[3,4,2,2,1,6]
[6,4,3,1,2,4]=>[6,3,2,5,1,2]
[6,4,3,1,4,2]=>[5,2,2,3,1,4]
[6,4,3,2,1,4]=>[6,2,3,5,1,2]
[6,4,3,2,4,1]=>[6,2,2,4,1,3]
[6,4,3,4,1,2]=>[4,2,3,2,1,5]
[6,4,3,4,2,1]=>[4,3,2,2,1,5]
[6,4,4,1,2,3]=>[2,2,4,5,1,6]
[6,4,4,1,3,2]=>[2,2,5,4,1,6]
[6,4,4,2,1,3]=>[2,4,2,5,1,6]
[6,4,4,2,3,1]=>[2,5,2,4,1,6]
[6,4,4,3,1,2]=>[2,4,5,2,1,6]
[6,4,4,3,2,1]=>[2,5,4,2,1,6]
[1,2,3,4,5,5]=>[1,2,3,4,5,5]
[1,2,3,5,4,5]=>[1,2,4,3,5,4]
[1,2,3,5,5,4]=>[1,2,4,3,4,5]
[1,2,4,3,5,5]=>[1,3,2,4,5,5]
[1,2,4,5,3,5]=>[1,4,2,3,5,4]
[1,2,4,5,5,3]=>[1,4,2,3,4,5]
[1,2,5,3,4,5]=>[1,4,3,2,6,3]
[1,2,5,3,5,4]=>[1,3,3,2,4,5]
[1,2,5,4,3,5]=>[1,3,4,2,6,3]
[1,2,5,4,5,3]=>[1,3,3,2,5,4]
[1,2,5,5,3,4]=>[1,3,4,2,3,6]
[1,2,5,5,4,3]=>[1,4,3,2,3,6]
[1,3,2,4,5,5]=>[2,1,3,4,5,5]
[1,3,2,5,4,5]=>[2,1,4,3,5,4]
[1,3,2,5,5,4]=>[2,1,4,3,4,5]
[1,3,4,2,5,5]=>[3,1,2,4,5,5]
[1,3,4,5,2,5]=>[4,1,2,3,5,4]
[1,3,4,5,5,2]=>[4,1,2,3,4,5]
[1,3,5,2,4,5]=>[4,1,3,2,6,3]
[1,3,5,2,5,4]=>[3,1,3,2,4,5]
[1,3,5,4,2,5]=>[3,1,4,2,6,3]
[1,3,5,4,5,2]=>[3,1,3,2,5,4]
[1,3,5,5,2,4]=>[3,1,4,2,3,6]
[1,3,5,5,4,2]=>[4,1,3,2,3,6]
[1,4,2,3,5,5]=>[2,3,1,4,5,5]
[1,4,2,5,3,5]=>[2,4,1,3,5,4]
[1,4,2,5,5,3]=>[2,4,1,3,4,5]
[1,4,3,2,5,5]=>[3,2,1,4,5,5]
[1,4,3,5,2,5]=>[4,2,1,3,5,4]
[1,4,3,5,5,2]=>[4,2,1,3,4,5]
[1,4,5,2,3,5]=>[4,3,1,2,6,3]
[1,4,5,2,5,3]=>[3,3,1,2,4,5]
[1,4,5,3,2,5]=>[3,4,1,2,6,3]
[1,4,5,3,5,2]=>[3,3,1,2,5,4]
[1,4,5,5,2,3]=>[3,4,1,2,3,6]
[1,4,5,5,3,2]=>[4,3,1,2,3,6]
[1,5,2,3,4,5]=>[5,3,2,1,6,2]
[1,5,2,3,5,4]=>[3,2,2,1,5,4]
[1,5,2,4,3,5]=>[5,2,3,1,6,2]
[1,5,2,4,5,3]=>[4,2,2,1,6,3]
[1,5,2,5,3,4]=>[2,2,4,1,3,6]
[1,5,2,5,4,3]=>[2,4,2,1,3,6]
[1,5,3,2,4,5]=>[3,5,2,1,6,2]
[1,5,3,2,5,4]=>[2,3,2,1,5,4]
[1,5,3,4,2,5]=>[2,5,3,1,6,2]
[1,5,3,4,5,2]=>[2,4,2,1,6,3]
[1,5,3,5,2,4]=>[2,2,3,1,4,5]
[1,5,3,5,4,2]=>[4,2,2,1,3,6]
[1,5,4,2,3,5]=>[3,2,5,1,6,2]
[1,5,4,2,5,3]=>[2,2,3,1,5,4]
[1,5,4,3,2,5]=>[2,3,5,1,6,2]
[1,5,4,3,5,2]=>[2,2,4,1,6,3]
[1,5,4,5,2,3]=>[2,3,2,1,4,5]
[1,5,4,5,3,2]=>[3,2,2,1,4,5]
[1,5,5,2,3,4]=>[2,3,5,1,2,6]
[1,5,5,2,4,3]=>[2,5,3,1,2,6]
[1,5,5,3,2,4]=>[3,2,5,1,2,6]
[1,5,5,3,4,2]=>[5,2,3,1,2,6]
[1,5,5,4,2,3]=>[3,5,2,1,2,6]
[1,5,5,4,3,2]=>[5,3,2,1,2,6]
[2,1,3,4,5,5]=>[4,3,2,6,3,1]
[2,1,3,5,4,5]=>[3,3,2,4,5,1]
[2,1,3,5,5,4]=>[4,2,3,5,4,1]
[2,1,4,3,5,5]=>[3,4,2,6,3,1]
[2,1,4,5,3,5]=>[3,3,2,5,4,1]
[2,1,4,5,5,3]=>[2,4,3,5,4,1]
[2,1,5,3,4,5]=>[4,3,2,3,6,1]
[2,1,5,3,5,4]=>[4,2,3,4,5,1]
[2,1,5,4,3,5]=>[3,4,2,3,6,1]
[2,1,5,4,5,3]=>[2,4,3,4,5,1]
[2,1,5,5,3,4]=>[3,2,4,5,5,1]
[2,1,5,5,4,3]=>[2,3,4,5,5,1]
[2,3,1,4,5,5]=>[1,4,3,5,4,2]
[2,3,1,5,4,5]=>[1,4,3,4,5,2]
[2,3,1,5,5,4]=>[1,3,4,5,5,2]
[2,3,4,1,5,5]=>[1,2,4,5,5,3]
[2,3,4,5,1,5]=>[1,2,3,6,4,4]
[2,3,4,5,5,1]=>[1,2,3,4,6,4]
[2,3,5,1,4,5]=>[1,3,2,5,4,3]
[2,3,5,1,5,4]=>[1,3,2,6,3,4]
[2,3,5,4,1,5]=>[1,5,2,6,3,3]
[2,3,5,4,5,1]=>[1,3,2,4,5,3]
[2,3,5,5,1,4]=>[1,5,2,3,6,3]
[2,3,5,5,4,1]=>[1,3,2,3,6,4]
[2,4,1,3,5,5]=>[4,1,3,5,4,2]
[2,4,1,5,3,5]=>[4,1,3,4,5,2]
[2,4,1,5,5,3]=>[3,1,4,5,5,2]
[2,4,3,1,5,5]=>[2,1,4,5,5,3]
[2,4,3,5,1,5]=>[2,1,3,6,4,4]
[2,4,3,5,5,1]=>[2,1,3,4,6,4]
[2,4,5,1,3,5]=>[3,1,2,5,4,3]
[2,4,5,1,5,3]=>[3,1,2,6,3,4]
[2,4,5,3,1,5]=>[5,1,2,6,3,3]
[2,4,5,3,5,1]=>[3,1,2,4,5,3]
[2,4,5,5,1,3]=>[5,1,2,3,6,3]
[2,4,5,5,3,1]=>[3,1,2,3,6,4]
[2,5,1,3,4,5]=>[3,2,1,4,5,2]
[2,5,1,3,5,4]=>[2,2,1,6,3,4]
[2,5,1,4,3,5]=>[2,3,1,4,5,2]
[2,5,1,4,5,3]=>[2,2,1,5,4,3]
[2,5,1,5,3,4]=>[2,3,1,6,2,5]
[2,5,1,5,4,3]=>[3,2,1,6,2,5]
[2,5,3,1,4,5]=>[4,2,1,6,3,2]
[2,5,3,1,5,4]=>[5,2,1,6,2,3]
[2,5,3,4,1,5]=>[5,4,1,6,2,2]
[2,5,3,4,5,1]=>[3,2,1,5,4,2]
[2,5,3,5,1,4]=>[2,4,1,3,6,2]
[2,5,3,5,4,1]=>[2,2,1,3,6,4]
[2,5,4,1,3,5]=>[2,4,1,6,3,2]
[2,5,4,1,5,3]=>[2,5,1,6,2,3]
[2,5,4,3,1,5]=>[4,5,1,6,2,2]
[2,5,4,3,5,1]=>[2,3,1,5,4,2]
[2,5,4,5,1,3]=>[4,2,1,3,6,2]
[2,5,4,5,3,1]=>[2,2,1,4,5,3]
[2,5,5,1,3,4]=>[5,4,1,2,6,2]
[2,5,5,1,4,3]=>[4,5,1,2,6,2]
[2,5,5,3,1,4]=>[2,5,1,2,6,3]
[2,5,5,3,4,1]=>[2,3,1,2,6,5]
[2,5,5,4,1,3]=>[5,2,1,2,6,3]
[2,5,5,4,3,1]=>[3,2,1,2,6,5]
[3,1,2,4,5,5]=>[3,2,5,4,1,3]
[3,1,2,5,4,5]=>[2,3,6,4,1,4]
[3,1,2,5,5,4]=>[3,2,6,3,1,4]
[3,1,4,2,5,5]=>[5,2,6,3,1,3]
[3,1,4,5,2,5]=>[3,2,4,5,1,3]
[3,1,4,5,5,2]=>[4,3,5,4,1,2]
[3,1,5,2,4,5]=>[2,3,4,6,1,4]
[3,1,5,2,5,4]=>[3,2,3,6,1,4]
[3,1,5,4,2,5]=>[5,2,3,6,1,3]
[3,1,5,4,5,2]=>[4,3,4,5,1,2]
[3,1,5,5,2,4]=>[2,4,5,5,1,3]
[3,1,5,5,4,2]=>[3,4,5,5,1,2]
[3,2,1,4,5,5]=>[3,2,5,4,3,1]
[3,2,1,5,4,5]=>[3,2,6,3,4,1]
[3,2,1,5,5,4]=>[2,3,6,4,4,1]
[3,2,4,1,5,5]=>[5,2,6,3,3,1]
[3,2,4,5,1,5]=>[3,2,4,5,3,1]
[3,2,4,5,5,1]=>[4,3,5,4,2,1]
[3,2,5,1,4,5]=>[3,2,3,6,4,1]
[3,2,5,1,5,4]=>[2,3,4,6,4,1]
[3,2,5,4,1,5]=>[5,2,3,6,3,1]
[3,2,5,4,5,1]=>[4,3,4,5,2,1]
[3,2,5,5,1,4]=>[2,4,5,5,3,1]
[3,2,5,5,4,1]=>[3,4,5,5,2,1]
[3,4,1,2,5,5]=>[1,3,6,4,2,4]
[3,4,1,5,2,5]=>[1,3,4,6,2,4]
[3,4,1,5,5,2]=>[1,4,5,5,2,3]
[3,4,2,1,5,5]=>[1,3,6,4,4,2]
[3,4,2,5,1,5]=>[1,3,4,6,4,2]
[3,4,2,5,5,1]=>[1,4,5,5,3,2]
[3,4,5,1,2,5]=>[1,2,4,5,3,3]
[3,4,5,1,5,2]=>[1,2,6,3,5,3]
[3,4,5,2,1,5]=>[1,2,5,4,3,3]
[3,4,5,2,5,1]=>[1,2,6,3,3,5]
[3,4,5,5,1,2]=>[1,2,3,6,3,5]
[3,4,5,5,2,1]=>[1,2,3,6,5,3]
[3,5,1,2,4,5]=>[2,1,5,4,3,2]
[3,5,1,2,5,4]=>[2,1,4,5,2,3]
[3,5,1,4,2,5]=>[4,1,3,6,2,2]
[3,5,1,4,5,2]=>[2,1,6,3,4,2]
[3,5,1,5,2,4]=>[4,1,6,2,5,2]
[3,5,1,5,4,2]=>[2,1,6,2,5,3]
[3,5,2,1,4,5]=>[2,1,4,5,3,2]
[3,5,2,1,5,4]=>[2,1,5,4,2,3]
[3,5,2,4,1,5]=>[3,1,4,5,2,2]
[3,5,2,4,5,1]=>[2,1,6,3,2,4]
[3,5,2,5,1,4]=>[4,1,6,2,2,5]
[3,5,2,5,4,1]=>[2,1,6,2,3,5]
[3,5,4,1,2,5]=>[3,1,5,4,2,2]
[3,5,4,1,5,2]=>[5,1,6,2,4,2]
[3,5,4,2,1,5]=>[4,1,6,3,2,2]
[3,5,4,2,5,1]=>[5,1,6,2,2,4]
[3,5,4,5,1,2]=>[2,1,3,6,2,4]
[3,5,4,5,2,1]=>[2,1,3,6,4,2]
[3,5,5,1,2,4]=>[4,1,2,6,2,5]
[3,5,5,1,4,2]=>[5,1,2,6,2,4]
[3,5,5,2,1,4]=>[4,1,2,6,5,2]
[3,5,5,2,4,1]=>[5,1,2,6,4,2]
[3,5,5,4,1,2]=>[2,1,2,6,3,5]
[3,5,5,4,2,1]=>[2,1,2,6,5,3]
[4,1,2,3,5,5]=>[2,4,5,1,3,3]
[4,1,2,5,3,5]=>[3,6,4,1,4,2]
[4,1,2,5,5,3]=>[2,6,3,1,5,3]
[4,1,3,2,5,5]=>[2,5,4,1,3,3]
[4,1,3,5,2,5]=>[3,6,4,1,2,4]
[4,1,3,5,5,2]=>[2,6,3,1,3,5]
[4,1,5,2,3,5]=>[3,4,6,1,4,2]
[4,1,5,2,5,3]=>[2,3,6,1,5,3]
[4,1,5,3,2,5]=>[3,4,6,1,2,4]
[4,1,5,3,5,2]=>[2,3,6,1,3,5]
[4,1,5,5,2,3]=>[4,5,5,1,3,2]
[4,1,5,5,3,2]=>[4,5,5,1,2,3]
[4,2,1,3,5,5]=>[2,4,5,3,1,3]
[4,2,1,5,3,5]=>[2,6,3,5,1,3]
[4,2,1,5,5,3]=>[3,6,4,4,1,2]
[4,2,3,1,5,5]=>[2,5,4,3,1,3]
[4,2,3,5,1,5]=>[3,6,4,2,1,4]
[4,2,3,5,5,1]=>[2,6,3,3,1,5]
[4,2,5,1,3,5]=>[2,3,6,5,1,3]
[4,2,5,1,5,3]=>[3,4,6,4,1,2]
[4,2,5,3,1,5]=>[3,4,6,2,1,4]
[4,2,5,3,5,1]=>[2,3,6,3,1,5]
[4,2,5,5,1,3]=>[4,5,5,3,1,2]
[4,2,5,5,3,1]=>[4,5,5,2,1,3]
[4,3,1,2,5,5]=>[2,4,5,3,3,1]
[4,3,1,5,2,5]=>[2,6,3,5,3,1]
[4,3,1,5,5,2]=>[3,6,4,4,2,1]
[4,3,2,1,5,5]=>[2,5,4,3,3,1]
[4,3,2,5,1,5]=>[2,6,3,3,5,1]
[4,3,2,5,5,1]=>[3,6,4,2,4,1]
[4,3,5,1,2,5]=>[2,3,6,5,3,1]
[4,3,5,1,5,2]=>[3,4,6,4,2,1]
[4,3,5,2,1,5]=>[2,3,6,3,5,1]
[4,3,5,2,5,1]=>[3,4,6,2,4,1]
[4,3,5,5,1,2]=>[4,5,5,3,2,1]
[4,3,5,5,2,1]=>[4,5,5,2,3,1]
[4,5,1,2,3,5]=>[1,6,3,4,2,2]
[4,5,1,2,5,3]=>[1,3,6,2,4,2]
[4,5,1,3,2,5]=>[1,5,4,3,2,2]
[4,5,1,3,5,2]=>[1,3,6,2,2,4]
[4,5,1,5,2,3]=>[1,6,2,5,2,4]
[4,5,1,5,3,2]=>[1,6,2,5,4,2]
[4,5,2,1,3,5]=>[1,3,6,4,2,2]
[4,5,2,1,5,3]=>[1,6,3,2,4,2]
[4,5,2,3,1,5]=>[1,5,4,2,3,2]
[4,5,2,3,5,1]=>[1,4,5,2,2,3]
[4,5,2,5,1,3]=>[1,6,2,2,5,4]
[4,5,2,5,3,1]=>[1,6,2,4,5,2]
[4,5,3,1,2,5]=>[1,4,5,3,2,2]
[4,5,3,1,5,2]=>[1,6,3,2,2,4]
[4,5,3,2,1,5]=>[1,4,5,2,3,2]
[4,5,3,2,5,1]=>[1,5,4,2,2,3]
[4,5,3,5,1,2]=>[1,6,2,2,4,5]
[4,5,3,5,2,1]=>[1,6,2,4,2,5]
[4,5,5,1,2,3]=>[1,2,6,2,5,4]
[4,5,5,1,3,2]=>[1,2,6,2,4,5]
[4,5,5,2,1,3]=>[1,2,6,5,2,4]
[4,5,5,2,3,1]=>[1,2,6,4,2,5]
[4,5,5,3,1,2]=>[1,2,6,5,4,2]
[4,5,5,3,2,1]=>[1,2,6,4,5,2]
[5,1,2,3,4,5]=>[4,5,2,3,1,1]
[5,1,2,3,5,4]=>[6,2,5,1,3,1]
[5,1,2,4,3,5]=>[5,4,3,2,1,1]
[5,1,2,4,5,3]=>[6,2,5,1,1,3]
[5,1,2,5,3,4]=>[2,6,1,5,1,3]
[5,1,2,5,4,3]=>[2,6,1,5,3,1]
[5,1,3,2,4,5]=>[6,2,5,3,1,1]
[5,1,3,2,5,4]=>[4,5,2,1,3,1]
[5,1,3,4,2,5]=>[5,4,3,1,2,1]
[5,1,3,4,5,2]=>[6,3,4,1,1,2]
[5,1,3,5,2,4]=>[2,6,1,1,5,3]
[5,1,3,5,4,2]=>[2,6,1,3,5,1]
[5,1,4,2,3,5]=>[6,3,4,2,1,1]
[5,1,4,2,5,3]=>[4,5,2,1,1,3]
[5,1,4,3,2,5]=>[6,3,4,1,2,1]
[5,1,4,3,5,2]=>[5,4,3,1,1,2]
[5,1,4,5,2,3]=>[2,6,1,1,3,5]
[5,1,4,5,3,2]=>[2,6,1,3,1,5]
[5,1,5,2,3,4]=>[6,1,5,1,4,3]
[5,1,5,2,4,3]=>[6,1,5,1,3,4]
[5,1,5,3,2,4]=>[6,1,5,4,1,3]
[5,1,5,3,4,2]=>[6,1,5,3,1,4]
[5,1,5,4,2,3]=>[6,1,5,4,3,1]
[5,1,5,4,3,2]=>[6,1,5,3,4,1]
[5,2,1,3,4,5]=>[5,4,2,3,1,1]
[5,2,1,3,5,4]=>[2,6,5,1,3,1]
[5,2,1,4,3,5]=>[4,5,3,2,1,1]
[5,2,1,4,5,3]=>[2,6,5,1,1,3]
[5,2,1,5,3,4]=>[6,2,1,5,1,3]
[5,2,1,5,4,3]=>[6,2,1,5,3,1]
[5,2,3,1,4,5]=>[6,2,3,5,1,1]
[5,2,3,1,5,4]=>[4,5,1,2,3,1]
[5,2,3,4,1,5]=>[5,4,1,3,2,1]
[5,2,3,4,5,1]=>[6,3,1,4,1,2]
[5,2,3,5,1,4]=>[3,6,1,1,4,2]
[5,2,3,5,4,1]=>[2,6,3,1,5,1]
[5,2,4,1,3,5]=>[6,3,2,4,1,1]
[5,2,4,1,5,3]=>[4,5,1,2,1,3]
[5,2,4,3,1,5]=>[6,3,1,4,2,1]
[5,2,4,3,5,1]=>[5,4,1,3,1,2]
[5,2,4,5,1,3]=>[3,6,1,1,2,4]
[5,2,4,5,3,1]=>[2,6,3,1,1,5]
[5,2,5,1,3,4]=>[6,1,1,5,3,4]
[5,2,5,1,4,3]=>[6,1,1,5,4,3]
[5,2,5,3,1,4]=>[6,1,4,5,1,3]
[5,2,5,3,4,1]=>[6,1,3,5,1,4]
[5,2,5,4,1,3]=>[6,1,4,5,3,1]
[5,2,5,4,3,1]=>[6,1,3,5,4,1]
[5,3,1,2,4,5]=>[2,6,5,3,1,1]
[5,3,1,2,5,4]=>[5,4,2,1,3,1]
[5,3,1,4,2,5]=>[4,5,3,1,2,1]
[5,3,1,4,5,2]=>[3,6,4,1,1,2]
[5,3,1,5,2,4]=>[6,2,1,1,5,3]
[5,3,1,5,4,2]=>[6,2,1,3,5,1]
[5,3,2,1,4,5]=>[2,6,3,5,1,1]
[5,3,2,1,5,4]=>[5,4,1,2,3,1]
[5,3,2,4,1,5]=>[4,5,1,3,2,1]
[5,3,2,4,5,1]=>[3,6,1,4,1,2]
[5,3,2,5,1,4]=>[6,3,1,1,4,2]
[5,3,2,5,4,1]=>[6,2,3,1,5,1]
[5,3,4,1,2,5]=>[6,3,2,1,4,1]
[5,3,4,1,5,2]=>[4,5,1,1,2,3]
[5,3,4,2,1,5]=>[6,3,1,2,4,1]
[5,3,4,2,5,1]=>[5,4,1,1,3,2]
[5,3,4,5,1,2]=>[3,6,1,2,1,4]
[5,3,4,5,2,1]=>[3,6,2,1,1,4]
[5,3,5,1,2,4]=>[6,1,1,3,5,4]
[5,3,5,1,4,2]=>[6,1,1,4,5,3]
[5,3,5,2,1,4]=>[6,1,3,1,5,4]
[5,3,5,2,4,1]=>[6,1,4,1,5,3]
[5,3,5,4,1,2]=>[6,1,4,3,5,1]
[5,3,5,4,2,1]=>[6,1,3,4,5,1]
[5,4,1,2,3,5]=>[3,6,4,2,1,1]
[5,4,1,2,5,3]=>[5,4,2,1,1,3]
[5,4,1,3,2,5]=>[3,6,4,1,2,1]
[5,4,1,3,5,2]=>[4,5,3,1,1,2]
[5,4,1,5,2,3]=>[6,2,1,1,3,5]
[5,4,1,5,3,2]=>[6,2,1,3,1,5]
[5,4,2,1,3,5]=>[3,6,2,4,1,1]
[5,4,2,1,5,3]=>[5,4,1,2,1,3]
[5,4,2,3,1,5]=>[3,6,1,4,2,1]
[5,4,2,3,5,1]=>[4,5,1,3,1,2]
[5,4,2,5,1,3]=>[6,3,1,1,2,4]
[5,4,2,5,3,1]=>[6,2,3,1,1,5]
[5,4,3,1,2,5]=>[3,6,2,1,4,1]
[5,4,3,1,5,2]=>[5,4,1,1,2,3]
[5,4,3,2,1,5]=>[3,6,1,2,4,1]
[5,4,3,2,5,1]=>[4,5,1,1,3,2]
[5,4,3,5,1,2]=>[6,3,1,2,1,4]
[5,4,3,5,2,1]=>[6,3,2,1,1,4]
[5,4,5,1,2,3]=>[6,1,1,3,4,5]
[5,4,5,1,3,2]=>[6,1,1,4,3,5]
[5,4,5,2,1,3]=>[6,1,3,1,4,5]
[5,4,5,2,3,1]=>[6,1,4,1,3,5]
[5,4,5,3,1,2]=>[6,1,3,4,1,5]
[5,4,5,3,2,1]=>[6,1,4,3,1,5]
[5,5,1,2,3,4]=>[1,6,1,5,3,4]
[5,5,1,2,4,3]=>[1,6,1,5,4,3]
[5,5,1,3,2,4]=>[1,6,1,3,5,4]
[5,5,1,3,4,2]=>[1,6,1,4,5,3]
[5,5,1,4,2,3]=>[1,6,1,3,4,5]
[5,5,1,4,3,2]=>[1,6,1,4,3,5]
[5,5,2,1,3,4]=>[1,6,5,1,4,3]
[5,5,2,1,4,3]=>[1,6,5,1,3,4]
[5,5,2,3,1,4]=>[1,6,3,1,5,4]
[5,5,2,3,4,1]=>[1,6,4,1,5,3]
[5,5,2,4,1,3]=>[1,6,3,1,4,5]
[5,5,2,4,3,1]=>[1,6,4,1,3,5]
[5,5,3,1,2,4]=>[1,6,5,4,1,3]
[5,5,3,1,4,2]=>[1,6,5,3,1,4]
[5,5,3,2,1,4]=>[1,6,4,5,1,3]
[5,5,3,2,4,1]=>[1,6,3,5,1,4]
[5,5,3,4,1,2]=>[1,6,3,4,1,5]
[5,5,3,4,2,1]=>[1,6,4,3,1,5]
[5,5,4,1,2,3]=>[1,6,5,4,3,1]
[5,5,4,1,3,2]=>[1,6,5,3,4,1]
[5,5,4,2,1,3]=>[1,6,4,5,3,1]
[5,5,4,2,3,1]=>[1,6,3,5,4,1]
[5,5,4,3,1,2]=>[1,6,4,3,5,1]
[5,5,4,3,2,1]=>[1,6,3,4,5,1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[1,2,3,5,4,6]
[1,2,3,5,4,6]=>[1,2,4,3,5,6]
[1,2,3,5,6,4]=>[1,2,5,3,4,6]
[1,2,3,6,4,5]=>[1,2,4,5,3,6]
[1,2,3,6,5,4]=>[1,2,5,4,3,6]
[1,2,4,3,5,6]=>[1,3,2,4,5,6]
[1,2,4,3,6,5]=>[1,3,2,5,4,6]
[1,2,4,5,3,6]=>[1,4,2,3,5,6]
[1,2,4,5,6,3]=>[1,5,2,3,4,6]
[1,2,4,6,3,5]=>[1,4,2,5,3,6]
[1,2,4,6,5,3]=>[1,5,2,4,3,6]
[1,2,5,3,4,6]=>[1,3,4,2,5,6]
[1,2,5,3,6,4]=>[1,3,5,2,4,6]
[1,2,5,4,3,6]=>[1,4,3,2,5,6]
[1,2,5,4,6,3]=>[1,5,3,2,4,6]
[1,2,5,6,3,4]=>[1,4,5,2,3,6]
[1,2,5,6,4,3]=>[1,5,4,2,3,6]
[1,2,6,3,4,5]=>[1,3,4,5,2,6]
[1,2,6,3,5,4]=>[1,3,5,4,2,6]
[1,2,6,4,3,5]=>[1,4,3,5,2,6]
[1,2,6,4,5,3]=>[1,5,3,4,2,6]
[1,2,6,5,3,4]=>[1,4,5,3,2,6]
[1,2,6,5,4,3]=>[1,5,4,3,2,6]
[1,3,2,4,5,6]=>[2,1,3,4,5,6]
[1,3,2,4,6,5]=>[2,1,3,5,4,6]
[1,3,2,5,4,6]=>[2,1,4,3,5,6]
[1,3,2,5,6,4]=>[2,1,5,3,4,6]
[1,3,2,6,4,5]=>[2,1,4,5,3,6]
[1,3,2,6,5,4]=>[2,1,5,4,3,6]
[1,3,4,2,5,6]=>[3,1,2,4,5,6]
[1,3,4,2,6,5]=>[3,1,2,5,4,6]
[1,3,4,5,2,6]=>[4,1,2,3,5,6]
[1,3,4,5,6,2]=>[5,1,2,3,4,6]
[1,3,4,6,2,5]=>[4,1,2,5,3,6]
[1,3,4,6,5,2]=>[5,1,2,4,3,6]
[1,3,5,2,4,6]=>[3,1,4,2,5,6]
[1,3,5,2,6,4]=>[3,1,5,2,4,6]
[1,3,5,4,2,6]=>[4,1,3,2,5,6]
[1,3,5,4,6,2]=>[5,1,3,2,4,6]
[1,3,5,6,2,4]=>[4,1,5,2,3,6]
[1,3,5,6,4,2]=>[5,1,4,2,3,6]
[1,3,6,2,4,5]=>[3,1,4,5,2,6]
[1,3,6,2,5,4]=>[3,1,5,4,2,6]
[1,3,6,4,2,5]=>[4,1,3,5,2,6]
[1,3,6,4,5,2]=>[5,1,3,4,2,6]
[1,3,6,5,2,4]=>[4,1,5,3,2,6]
[1,3,6,5,4,2]=>[5,1,4,3,2,6]
[1,4,2,3,5,6]=>[2,3,1,4,5,6]
[1,4,2,3,6,5]=>[2,3,1,5,4,6]
[1,4,2,5,3,6]=>[2,4,1,3,5,6]
[1,4,2,5,6,3]=>[2,5,1,3,4,6]
[1,4,2,6,3,5]=>[2,4,1,5,3,6]
[1,4,2,6,5,3]=>[2,5,1,4,3,6]
[1,4,3,2,5,6]=>[3,2,1,4,5,6]
[1,4,3,2,6,5]=>[3,2,1,5,4,6]
[1,4,3,5,2,6]=>[4,2,1,3,5,6]
[1,4,3,5,6,2]=>[5,2,1,3,4,6]
[1,4,3,6,2,5]=>[4,2,1,5,3,6]
[1,4,3,6,5,2]=>[5,2,1,4,3,6]
[1,4,5,2,3,6]=>[3,4,1,2,5,6]
[1,4,5,2,6,3]=>[3,5,1,2,4,6]
[1,4,5,3,2,6]=>[4,3,1,2,5,6]
[1,4,5,3,6,2]=>[5,3,1,2,4,6]
[1,4,5,6,2,3]=>[4,5,1,2,3,6]
[1,4,5,6,3,2]=>[5,4,1,2,3,6]
[1,4,6,2,3,5]=>[3,4,1,5,2,6]
[1,4,6,2,5,3]=>[3,5,1,4,2,6]
[1,4,6,3,2,5]=>[4,3,1,5,2,6]
[1,4,6,3,5,2]=>[5,3,1,4,2,6]
[1,4,6,5,2,3]=>[4,5,1,3,2,6]
[1,4,6,5,3,2]=>[5,4,1,3,2,6]
[1,5,2,3,4,6]=>[2,3,4,1,5,6]
[1,5,2,3,6,4]=>[2,3,5,1,4,6]
[1,5,2,4,3,6]=>[2,4,3,1,5,6]
[1,5,2,4,6,3]=>[2,5,3,1,4,6]
[1,5,2,6,3,4]=>[2,4,5,1,3,6]
[1,5,2,6,4,3]=>[2,5,4,1,3,6]
[1,5,3,2,4,6]=>[3,2,4,1,5,6]
[1,5,3,2,6,4]=>[3,2,5,1,4,6]
[1,5,3,4,2,6]=>[4,2,3,1,5,6]
[1,5,3,4,6,2]=>[5,2,3,1,4,6]
[1,5,3,6,2,4]=>[4,2,5,1,3,6]
[1,5,3,6,4,2]=>[5,2,4,1,3,6]
[1,5,4,2,3,6]=>[3,4,2,1,5,6]
[1,5,4,2,6,3]=>[3,5,2,1,4,6]
[1,5,4,3,2,6]=>[4,3,2,1,5,6]
[1,5,4,3,6,2]=>[5,3,2,1,4,6]
[1,5,4,6,2,3]=>[4,5,2,1,3,6]
[1,5,4,6,3,2]=>[5,4,2,1,3,6]
[1,5,6,2,3,4]=>[3,4,5,1,2,6]
[1,5,6,2,4,3]=>[3,5,4,1,2,6]
[1,5,6,3,2,4]=>[4,3,5,1,2,6]
[1,5,6,3,4,2]=>[5,3,4,1,2,6]
[1,5,6,4,2,3]=>[4,5,3,1,2,6]
[1,5,6,4,3,2]=>[5,4,3,1,2,6]
[1,6,2,3,4,5]=>[2,3,4,5,1,6]
[1,6,2,3,5,4]=>[2,3,5,4,1,6]
[1,6,2,4,3,5]=>[2,4,3,5,1,6]
[1,6,2,4,5,3]=>[2,5,3,4,1,6]
[1,6,2,5,3,4]=>[2,4,5,3,1,6]
[1,6,2,5,4,3]=>[2,5,4,3,1,6]
[1,6,3,2,4,5]=>[3,2,4,5,1,6]
[1,6,3,2,5,4]=>[3,2,5,4,1,6]
[1,6,3,4,2,5]=>[4,2,3,5,1,6]
[1,6,3,4,5,2]=>[5,2,3,4,1,6]
[1,6,3,5,2,4]=>[4,2,5,3,1,6]
[1,6,3,5,4,2]=>[5,2,4,3,1,6]
[1,6,4,2,3,5]=>[3,4,2,5,1,6]
[1,6,4,2,5,3]=>[3,5,2,4,1,6]
[1,6,4,3,2,5]=>[4,3,2,5,1,6]
[1,6,4,3,5,2]=>[5,3,2,4,1,6]
[1,6,4,5,2,3]=>[4,5,2,3,1,6]
[1,6,4,5,3,2]=>[5,4,2,3,1,6]
[1,6,5,2,3,4]=>[3,4,5,2,1,6]
[1,6,5,2,4,3]=>[3,5,4,2,1,6]
[1,6,5,3,2,4]=>[4,3,5,2,1,6]
[1,6,5,3,4,2]=>[5,3,4,2,1,6]
[1,6,5,4,2,3]=>[4,5,3,2,1,6]
[1,6,5,4,3,2]=>[5,4,3,2,1,6]
[2,1,3,4,5,6]=>[5,4,3,2,6,1]
[2,1,3,4,6,5]=>[5,4,2,3,6,1]
[2,1,3,5,4,6]=>[5,3,4,2,6,1]
[2,1,3,5,6,4]=>[5,2,4,3,6,1]
[2,1,3,6,4,5]=>[5,3,2,4,6,1]
[2,1,3,6,5,4]=>[5,2,3,4,6,1]
[2,1,4,3,5,6]=>[4,5,3,2,6,1]
[2,1,4,3,6,5]=>[4,5,2,3,6,1]
[2,1,4,5,3,6]=>[3,5,4,2,6,1]
[2,1,4,5,6,3]=>[2,5,4,3,6,1]
[2,1,4,6,3,5]=>[3,5,2,4,6,1]
[2,1,4,6,5,3]=>[2,5,3,4,6,1]
[2,1,5,3,4,6]=>[4,3,5,2,6,1]
[2,1,5,3,6,4]=>[4,2,5,3,6,1]
[2,1,5,4,3,6]=>[3,4,5,2,6,1]
[2,1,5,4,6,3]=>[2,4,5,3,6,1]
[2,1,5,6,3,4]=>[3,2,5,4,6,1]
[2,1,5,6,4,3]=>[2,3,5,4,6,1]
[2,1,6,3,4,5]=>[4,3,2,5,6,1]
[2,1,6,3,5,4]=>[4,2,3,5,6,1]
[2,1,6,4,3,5]=>[3,4,2,5,6,1]
[2,1,6,4,5,3]=>[2,4,3,5,6,1]
[2,1,6,5,3,4]=>[3,2,4,5,6,1]
[2,1,6,5,4,3]=>[2,3,4,5,6,1]
[2,3,1,4,5,6]=>[1,5,4,3,6,2]
[2,3,1,4,6,5]=>[1,5,3,4,6,2]
[2,3,1,5,4,6]=>[1,4,5,3,6,2]
[2,3,1,5,6,4]=>[1,3,5,4,6,2]
[2,3,1,6,4,5]=>[1,4,3,5,6,2]
[2,3,1,6,5,4]=>[1,3,4,5,6,2]
[2,3,4,1,5,6]=>[1,2,5,4,6,3]
[2,3,4,1,6,5]=>[1,2,4,5,6,3]
[2,3,4,5,1,6]=>[1,2,3,5,6,4]
[2,3,4,5,6,1]=>[1,2,3,4,6,5]
[2,3,4,6,1,5]=>[1,2,5,3,6,4]
[2,3,4,6,5,1]=>[1,2,4,3,6,5]
[2,3,5,1,4,6]=>[1,5,2,4,6,3]
[2,3,5,1,6,4]=>[1,4,2,5,6,3]
[2,3,5,4,1,6]=>[1,3,2,5,6,4]
[2,3,5,4,6,1]=>[1,3,2,4,6,5]
[2,3,5,6,1,4]=>[1,5,2,3,6,4]
[2,3,5,6,4,1]=>[1,4,2,3,6,5]
[2,3,6,1,4,5]=>[1,5,4,2,6,3]
[2,3,6,1,5,4]=>[1,4,5,2,6,3]
[2,3,6,4,1,5]=>[1,3,5,2,6,4]
[2,3,6,4,5,1]=>[1,3,4,2,6,5]
[2,3,6,5,1,4]=>[1,5,3,2,6,4]
[2,3,6,5,4,1]=>[1,4,3,2,6,5]
[2,4,1,3,5,6]=>[5,1,4,3,6,2]
[2,4,1,3,6,5]=>[5,1,3,4,6,2]
[2,4,1,5,3,6]=>[4,1,5,3,6,2]
[2,4,1,5,6,3]=>[3,1,5,4,6,2]
[2,4,1,6,3,5]=>[4,1,3,5,6,2]
[2,4,1,6,5,3]=>[3,1,4,5,6,2]
[2,4,3,1,5,6]=>[2,1,5,4,6,3]
[2,4,3,1,6,5]=>[2,1,4,5,6,3]
[2,4,3,5,1,6]=>[2,1,3,5,6,4]
[2,4,3,5,6,1]=>[2,1,3,4,6,5]
[2,4,3,6,1,5]=>[2,1,5,3,6,4]
[2,4,3,6,5,1]=>[2,1,4,3,6,5]
[2,4,5,1,3,6]=>[5,1,2,4,6,3]
[2,4,5,1,6,3]=>[4,1,2,5,6,3]
[2,4,5,3,1,6]=>[3,1,2,5,6,4]
[2,4,5,3,6,1]=>[3,1,2,4,6,5]
[2,4,5,6,1,3]=>[5,1,2,3,6,4]
[2,4,5,6,3,1]=>[4,1,2,3,6,5]
[2,4,6,1,3,5]=>[5,1,4,2,6,3]
[2,4,6,1,5,3]=>[4,1,5,2,6,3]
[2,4,6,3,1,5]=>[3,1,5,2,6,4]
[2,4,6,3,5,1]=>[3,1,4,2,6,5]
[2,4,6,5,1,3]=>[5,1,3,2,6,4]
[2,4,6,5,3,1]=>[4,1,3,2,6,5]
[2,5,1,3,4,6]=>[5,4,1,3,6,2]
[2,5,1,3,6,4]=>[5,3,1,4,6,2]
[2,5,1,4,3,6]=>[4,5,1,3,6,2]
[2,5,1,4,6,3]=>[3,5,1,4,6,2]
[2,5,1,6,3,4]=>[4,3,1,5,6,2]
[2,5,1,6,4,3]=>[3,4,1,5,6,2]
[2,5,3,1,4,6]=>[2,5,1,4,6,3]
[2,5,3,1,6,4]=>[2,4,1,5,6,3]
[2,5,3,4,1,6]=>[2,3,1,5,6,4]
[2,5,3,4,6,1]=>[2,3,1,4,6,5]
[2,5,3,6,1,4]=>[2,5,1,3,6,4]
[2,5,3,6,4,1]=>[2,4,1,3,6,5]
[2,5,4,1,3,6]=>[5,2,1,4,6,3]
[2,5,4,1,6,3]=>[4,2,1,5,6,3]
[2,5,4,3,1,6]=>[3,2,1,5,6,4]
[2,5,4,3,6,1]=>[3,2,1,4,6,5]
[2,5,4,6,1,3]=>[5,2,1,3,6,4]
[2,5,4,6,3,1]=>[4,2,1,3,6,5]
[2,5,6,1,3,4]=>[5,4,1,2,6,3]
[2,5,6,1,4,3]=>[4,5,1,2,6,3]
[2,5,6,3,1,4]=>[3,5,1,2,6,4]
[2,5,6,3,4,1]=>[3,4,1,2,6,5]
[2,5,6,4,1,3]=>[5,3,1,2,6,4]
[2,5,6,4,3,1]=>[4,3,1,2,6,5]
[2,6,1,3,4,5]=>[5,4,3,1,6,2]
[2,6,1,3,5,4]=>[5,3,4,1,6,2]
[2,6,1,4,3,5]=>[4,5,3,1,6,2]
[2,6,1,4,5,3]=>[3,5,4,1,6,2]
[2,6,1,5,3,4]=>[4,3,5,1,6,2]
[2,6,1,5,4,3]=>[3,4,5,1,6,2]
[2,6,3,1,4,5]=>[2,5,4,1,6,3]
[2,6,3,1,5,4]=>[2,4,5,1,6,3]
[2,6,3,4,1,5]=>[2,3,5,1,6,4]
[2,6,3,4,5,1]=>[2,3,4,1,6,5]
[2,6,3,5,1,4]=>[2,5,3,1,6,4]
[2,6,3,5,4,1]=>[2,4,3,1,6,5]
[2,6,4,1,3,5]=>[5,2,4,1,6,3]
[2,6,4,1,5,3]=>[4,2,5,1,6,3]
[2,6,4,3,1,5]=>[3,2,5,1,6,4]
[2,6,4,3,5,1]=>[3,2,4,1,6,5]
[2,6,4,5,1,3]=>[5,2,3,1,6,4]
[2,6,4,5,3,1]=>[4,2,3,1,6,5]
[2,6,5,1,3,4]=>[5,4,2,1,6,3]
[2,6,5,1,4,3]=>[4,5,2,1,6,3]
[2,6,5,3,1,4]=>[3,5,2,1,6,4]
[2,6,5,3,4,1]=>[3,4,2,1,6,5]
[2,6,5,4,1,3]=>[5,3,2,1,6,4]
[2,6,5,4,3,1]=>[4,3,2,1,6,5]
[3,1,2,4,5,6]=>[2,3,4,6,1,5]
[3,1,2,4,6,5]=>[2,4,3,6,1,5]
[3,1,2,5,4,6]=>[3,2,4,6,1,5]
[3,1,2,5,6,4]=>[4,2,3,6,1,5]
[3,1,2,6,4,5]=>[3,4,2,6,1,5]
[3,1,2,6,5,4]=>[4,3,2,6,1,5]
[3,1,4,2,5,6]=>[5,2,3,6,1,4]
[3,1,4,2,6,5]=>[5,3,2,6,1,4]
[3,1,4,5,2,6]=>[5,4,2,6,1,3]
[3,1,4,5,6,2]=>[5,4,3,6,1,2]
[3,1,4,6,2,5]=>[5,2,4,6,1,3]
[3,1,4,6,5,2]=>[5,3,4,6,1,2]
[3,1,5,2,4,6]=>[2,5,3,6,1,4]
[3,1,5,2,6,4]=>[3,5,2,6,1,4]
[3,1,5,4,2,6]=>[4,5,2,6,1,3]
[3,1,5,4,6,2]=>[4,5,3,6,1,2]
[3,1,5,6,2,4]=>[2,5,4,6,1,3]
[3,1,5,6,4,2]=>[3,5,4,6,1,2]
[3,1,6,2,4,5]=>[2,3,5,6,1,4]
[3,1,6,2,5,4]=>[3,2,5,6,1,4]
[3,1,6,4,2,5]=>[4,2,5,6,1,3]
[3,1,6,4,5,2]=>[4,3,5,6,1,2]
[3,1,6,5,2,4]=>[2,4,5,6,1,3]
[3,1,6,5,4,2]=>[3,4,5,6,1,2]
[3,2,1,4,5,6]=>[4,3,2,6,5,1]
[3,2,1,4,6,5]=>[4,2,3,6,5,1]
[3,2,1,5,4,6]=>[3,4,2,6,5,1]
[3,2,1,5,6,4]=>[2,4,3,6,5,1]
[3,2,1,6,4,5]=>[3,2,4,6,5,1]
[3,2,1,6,5,4]=>[2,3,4,6,5,1]
[3,2,4,1,5,6]=>[5,3,2,6,4,1]
[3,2,4,1,6,5]=>[5,2,3,6,4,1]
[3,2,4,5,1,6]=>[5,4,2,6,3,1]
[3,2,4,5,6,1]=>[5,4,3,6,2,1]
[3,2,4,6,1,5]=>[5,2,4,6,3,1]
[3,2,4,6,5,1]=>[5,3,4,6,2,1]
[3,2,5,1,4,6]=>[3,5,2,6,4,1]
[3,2,5,1,6,4]=>[2,5,3,6,4,1]
[3,2,5,4,1,6]=>[4,5,2,6,3,1]
[3,2,5,4,6,1]=>[4,5,3,6,2,1]
[3,2,5,6,1,4]=>[2,5,4,6,3,1]
[3,2,5,6,4,1]=>[3,5,4,6,2,1]
[3,2,6,1,4,5]=>[3,2,5,6,4,1]
[3,2,6,1,5,4]=>[2,3,5,6,4,1]
[3,2,6,4,1,5]=>[4,2,5,6,3,1]
[3,2,6,4,5,1]=>[4,3,5,6,2,1]
[3,2,6,5,1,4]=>[2,4,5,6,3,1]
[3,2,6,5,4,1]=>[3,4,5,6,2,1]
[3,4,1,2,5,6]=>[1,3,4,6,2,5]
[3,4,1,2,6,5]=>[1,4,3,6,2,5]
[3,4,1,5,2,6]=>[1,5,3,6,2,4]
[3,4,1,5,6,2]=>[1,5,4,6,2,3]
[3,4,1,6,2,5]=>[1,3,5,6,2,4]
[3,4,1,6,5,2]=>[1,4,5,6,2,3]
[3,4,2,1,5,6]=>[1,4,3,6,5,2]
[3,4,2,1,6,5]=>[1,3,4,6,5,2]
[3,4,2,5,1,6]=>[1,5,3,6,4,2]
[3,4,2,5,6,1]=>[1,5,4,6,3,2]
[3,4,2,6,1,5]=>[1,3,5,6,4,2]
[3,4,2,6,5,1]=>[1,4,5,6,3,2]
[3,4,5,1,2,6]=>[1,2,4,6,3,5]
[3,4,5,1,6,2]=>[1,2,5,6,3,4]
[3,4,5,2,1,6]=>[1,2,4,6,5,3]
[3,4,5,2,6,1]=>[1,2,5,6,4,3]
[3,4,5,6,1,2]=>[1,2,3,6,4,5]
[3,4,5,6,2,1]=>[1,2,3,6,5,4]
[3,4,6,1,2,5]=>[1,4,2,6,3,5]
[3,4,6,1,5,2]=>[1,5,2,6,3,4]
[3,4,6,2,1,5]=>[1,4,2,6,5,3]
[3,4,6,2,5,1]=>[1,5,2,6,4,3]
[3,4,6,5,1,2]=>[1,3,2,6,4,5]
[3,4,6,5,2,1]=>[1,3,2,6,5,4]
[3,5,1,2,4,6]=>[3,1,4,6,2,5]
[3,5,1,2,6,4]=>[4,1,3,6,2,5]
[3,5,1,4,2,6]=>[5,1,3,6,2,4]
[3,5,1,4,6,2]=>[5,1,4,6,2,3]
[3,5,1,6,2,4]=>[3,1,5,6,2,4]
[3,5,1,6,4,2]=>[4,1,5,6,2,3]
[3,5,2,1,4,6]=>[4,1,3,6,5,2]
[3,5,2,1,6,4]=>[3,1,4,6,5,2]
[3,5,2,4,1,6]=>[5,1,3,6,4,2]
[3,5,2,4,6,1]=>[5,1,4,6,3,2]
[3,5,2,6,1,4]=>[3,1,5,6,4,2]
[3,5,2,6,4,1]=>[4,1,5,6,3,2]
[3,5,4,1,2,6]=>[2,1,4,6,3,5]
[3,5,4,1,6,2]=>[2,1,5,6,3,4]
[3,5,4,2,1,6]=>[2,1,4,6,5,3]
[3,5,4,2,6,1]=>[2,1,5,6,4,3]
[3,5,4,6,1,2]=>[2,1,3,6,4,5]
[3,5,4,6,2,1]=>[2,1,3,6,5,4]
[3,5,6,1,2,4]=>[4,1,2,6,3,5]
[3,5,6,1,4,2]=>[5,1,2,6,3,4]
[3,5,6,2,1,4]=>[4,1,2,6,5,3]
[3,5,6,2,4,1]=>[5,1,2,6,4,3]
[3,5,6,4,1,2]=>[3,1,2,6,4,5]
[3,5,6,4,2,1]=>[3,1,2,6,5,4]
[3,6,1,2,4,5]=>[3,4,1,6,2,5]
[3,6,1,2,5,4]=>[4,3,1,6,2,5]
[3,6,1,4,2,5]=>[5,3,1,6,2,4]
[3,6,1,4,5,2]=>[5,4,1,6,2,3]
[3,6,1,5,2,4]=>[3,5,1,6,2,4]
[3,6,1,5,4,2]=>[4,5,1,6,2,3]
[3,6,2,1,4,5]=>[4,3,1,6,5,2]
[3,6,2,1,5,4]=>[3,4,1,6,5,2]
[3,6,2,4,1,5]=>[5,3,1,6,4,2]
[3,6,2,4,5,1]=>[5,4,1,6,3,2]
[3,6,2,5,1,4]=>[3,5,1,6,4,2]
[3,6,2,5,4,1]=>[4,5,1,6,3,2]
[3,6,4,1,2,5]=>[2,4,1,6,3,5]
[3,6,4,1,5,2]=>[2,5,1,6,3,4]
[3,6,4,2,1,5]=>[2,4,1,6,5,3]
[3,6,4,2,5,1]=>[2,5,1,6,4,3]
[3,6,4,5,1,2]=>[2,3,1,6,4,5]
[3,6,4,5,2,1]=>[2,3,1,6,5,4]
[3,6,5,1,2,4]=>[4,2,1,6,3,5]
[3,6,5,1,4,2]=>[5,2,1,6,3,4]
[3,6,5,2,1,4]=>[4,2,1,6,5,3]
[3,6,5,2,4,1]=>[5,2,1,6,4,3]
[3,6,5,4,1,2]=>[3,2,1,6,4,5]
[3,6,5,4,2,1]=>[3,2,1,6,5,4]
[4,1,2,3,5,6]=>[4,3,6,1,5,2]
[4,1,2,3,6,5]=>[3,4,6,1,5,2]
[4,1,2,5,3,6]=>[2,4,6,1,5,3]
[4,1,2,5,6,3]=>[2,3,6,1,5,4]
[4,1,2,6,3,5]=>[4,2,6,1,5,3]
[4,1,2,6,5,3]=>[3,2,6,1,5,4]
[4,1,3,2,5,6]=>[3,4,6,1,2,5]
[4,1,3,2,6,5]=>[4,3,6,1,2,5]
[4,1,3,5,2,6]=>[2,4,6,1,3,5]
[4,1,3,5,6,2]=>[2,3,6,1,4,5]
[4,1,3,6,2,5]=>[4,2,6,1,3,5]
[4,1,3,6,5,2]=>[3,2,6,1,4,5]
[4,1,5,2,3,6]=>[5,3,6,1,4,2]
[4,1,5,2,6,3]=>[5,2,6,1,4,3]
[4,1,5,3,2,6]=>[5,3,6,1,2,4]
[4,1,5,3,6,2]=>[5,2,6,1,3,4]
[4,1,5,6,2,3]=>[5,4,6,1,3,2]
[4,1,5,6,3,2]=>[5,4,6,1,2,3]
[4,1,6,2,3,5]=>[3,5,6,1,4,2]
[4,1,6,2,5,3]=>[2,5,6,1,4,3]
[4,1,6,3,2,5]=>[3,5,6,1,2,4]
[4,1,6,3,5,2]=>[2,5,6,1,3,4]
[4,1,6,5,2,3]=>[4,5,6,1,3,2]
[4,1,6,5,3,2]=>[4,5,6,1,2,3]
[4,2,1,3,5,6]=>[2,3,6,5,1,4]
[4,2,1,3,6,5]=>[3,2,6,5,1,4]
[4,2,1,5,3,6]=>[4,2,6,5,1,3]
[4,2,1,5,6,3]=>[4,3,6,5,1,2]
[4,2,1,6,3,5]=>[2,4,6,5,1,3]
[4,2,1,6,5,3]=>[3,4,6,5,1,2]
[4,2,3,1,5,6]=>[3,4,6,2,1,5]
[4,2,3,1,6,5]=>[4,3,6,2,1,5]
[4,2,3,5,1,6]=>[2,4,6,3,1,5]
[4,2,3,5,6,1]=>[2,3,6,4,1,5]
[4,2,3,6,1,5]=>[4,2,6,3,1,5]
[4,2,3,6,5,1]=>[3,2,6,4,1,5]
[4,2,5,1,3,6]=>[5,2,6,4,1,3]
[4,2,5,1,6,3]=>[5,3,6,4,1,2]
[4,2,5,3,1,6]=>[5,3,6,2,1,4]
[4,2,5,3,6,1]=>[5,2,6,3,1,4]
[4,2,5,6,1,3]=>[5,4,6,3,1,2]
[4,2,5,6,3,1]=>[5,4,6,2,1,3]
[4,2,6,1,3,5]=>[2,5,6,4,1,3]
[4,2,6,1,5,3]=>[3,5,6,4,1,2]
[4,2,6,3,1,5]=>[3,5,6,2,1,4]
[4,2,6,3,5,1]=>[2,5,6,3,1,4]
[4,2,6,5,1,3]=>[4,5,6,3,1,2]
[4,2,6,5,3,1]=>[4,5,6,2,1,3]
[4,3,1,2,5,6]=>[3,2,6,5,4,1]
[4,3,1,2,6,5]=>[2,3,6,5,4,1]
[4,3,1,5,2,6]=>[4,2,6,5,3,1]
[4,3,1,5,6,2]=>[4,3,6,5,2,1]
[4,3,1,6,2,5]=>[2,4,6,5,3,1]
[4,3,1,6,5,2]=>[3,4,6,5,2,1]
[4,3,2,1,5,6]=>[3,2,6,4,5,1]
[4,3,2,1,6,5]=>[2,3,6,4,5,1]
[4,3,2,5,1,6]=>[4,2,6,3,5,1]
[4,3,2,5,6,1]=>[4,3,6,2,5,1]
[4,3,2,6,1,5]=>[2,4,6,3,5,1]
[4,3,2,6,5,1]=>[3,4,6,2,5,1]
[4,3,5,1,2,6]=>[5,2,6,4,3,1]
[4,3,5,1,6,2]=>[5,3,6,4,2,1]
[4,3,5,2,1,6]=>[5,2,6,3,4,1]
[4,3,5,2,6,1]=>[5,3,6,2,4,1]
[4,3,5,6,1,2]=>[5,4,6,3,2,1]
[4,3,5,6,2,1]=>[5,4,6,2,3,1]
[4,3,6,1,2,5]=>[2,5,6,4,3,1]
[4,3,6,1,5,2]=>[3,5,6,4,2,1]
[4,3,6,2,1,5]=>[2,5,6,3,4,1]
[4,3,6,2,5,1]=>[3,5,6,2,4,1]
[4,3,6,5,1,2]=>[4,5,6,3,2,1]
[4,3,6,5,2,1]=>[4,5,6,2,3,1]
[4,5,1,2,3,6]=>[1,4,6,2,5,3]
[4,5,1,2,6,3]=>[1,3,6,2,5,4]
[4,5,1,3,2,6]=>[1,4,6,2,3,5]
[4,5,1,3,6,2]=>[1,3,6,2,4,5]
[4,5,1,6,2,3]=>[1,5,6,2,4,3]
[4,5,1,6,3,2]=>[1,5,6,2,3,4]
[4,5,2,1,3,6]=>[1,3,6,5,2,4]
[4,5,2,1,6,3]=>[1,4,6,5,2,3]
[4,5,2,3,1,6]=>[1,4,6,3,2,5]
[4,5,2,3,6,1]=>[1,3,6,4,2,5]
[4,5,2,6,1,3]=>[1,5,6,4,2,3]
[4,5,2,6,3,1]=>[1,5,6,3,2,4]
[4,5,3,1,2,6]=>[1,3,6,5,4,2]
[4,5,3,1,6,2]=>[1,4,6,5,3,2]
[4,5,3,2,1,6]=>[1,3,6,4,5,2]
[4,5,3,2,6,1]=>[1,4,6,3,5,2]
[4,5,3,6,1,2]=>[1,5,6,4,3,2]
[4,5,3,6,2,1]=>[1,5,6,3,4,2]
[4,5,6,1,2,3]=>[1,2,6,3,5,4]
[4,5,6,1,3,2]=>[1,2,6,3,4,5]
[4,5,6,2,1,3]=>[1,2,6,5,3,4]
[4,5,6,2,3,1]=>[1,2,6,4,3,5]
[4,5,6,3,1,2]=>[1,2,6,5,4,3]
[4,5,6,3,2,1]=>[1,2,6,4,5,3]
[4,6,1,2,3,5]=>[4,1,6,2,5,3]
[4,6,1,2,5,3]=>[3,1,6,2,5,4]
[4,6,1,3,2,5]=>[4,1,6,2,3,5]
[4,6,1,3,5,2]=>[3,1,6,2,4,5]
[4,6,1,5,2,3]=>[5,1,6,2,4,3]
[4,6,1,5,3,2]=>[5,1,6,2,3,4]
[4,6,2,1,3,5]=>[3,1,6,5,2,4]
[4,6,2,1,5,3]=>[4,1,6,5,2,3]
[4,6,2,3,1,5]=>[4,1,6,3,2,5]
[4,6,2,3,5,1]=>[3,1,6,4,2,5]
[4,6,2,5,1,3]=>[5,1,6,4,2,3]
[4,6,2,5,3,1]=>[5,1,6,3,2,4]
[4,6,3,1,2,5]=>[3,1,6,5,4,2]
[4,6,3,1,5,2]=>[4,1,6,5,3,2]
[4,6,3,2,1,5]=>[3,1,6,4,5,2]
[4,6,3,2,5,1]=>[4,1,6,3,5,2]
[4,6,3,5,1,2]=>[5,1,6,4,3,2]
[4,6,3,5,2,1]=>[5,1,6,3,4,2]
[4,6,5,1,2,3]=>[2,1,6,3,5,4]
[4,6,5,1,3,2]=>[2,1,6,3,4,5]
[4,6,5,2,1,3]=>[2,1,6,5,3,4]
[4,6,5,2,3,1]=>[2,1,6,4,3,5]
[4,6,5,3,1,2]=>[2,1,6,5,4,3]
[4,6,5,3,2,1]=>[2,1,6,4,5,3]
[5,1,2,3,4,6]=>[3,6,1,5,2,4]
[5,1,2,3,6,4]=>[4,6,1,5,2,3]
[5,1,2,4,3,6]=>[3,6,1,5,4,2]
[5,1,2,4,6,3]=>[4,6,1,5,3,2]
[5,1,2,6,3,4]=>[2,6,1,5,3,4]
[5,1,2,6,4,3]=>[2,6,1,5,4,3]
[5,1,3,2,4,6]=>[4,6,1,2,5,3]
[5,1,3,2,6,4]=>[3,6,1,2,5,4]
[5,1,3,4,2,6]=>[3,6,1,4,5,2]
[5,1,3,4,6,2]=>[4,6,1,3,5,2]
[5,1,3,6,2,4]=>[2,6,1,3,5,4]
[5,1,3,6,4,2]=>[2,6,1,4,5,3]
[5,1,4,2,3,6]=>[4,6,1,2,3,5]
[5,1,4,2,6,3]=>[3,6,1,2,4,5]
[5,1,4,3,2,6]=>[4,6,1,3,2,5]
[5,1,4,3,6,2]=>[3,6,1,4,2,5]
[5,1,4,6,2,3]=>[2,6,1,3,4,5]
[5,1,4,6,3,2]=>[2,6,1,4,3,5]
[5,1,6,2,3,4]=>[5,6,1,4,2,3]
[5,1,6,2,4,3]=>[5,6,1,4,3,2]
[5,1,6,3,2,4]=>[5,6,1,2,4,3]
[5,1,6,3,4,2]=>[5,6,1,3,4,2]
[5,1,6,4,2,3]=>[5,6,1,2,3,4]
[5,1,6,4,3,2]=>[5,6,1,3,2,4]
[5,2,1,3,4,6]=>[3,6,5,1,4,2]
[5,2,1,3,6,4]=>[2,6,5,1,4,3]
[5,2,1,4,3,6]=>[3,6,5,1,2,4]
[5,2,1,4,6,3]=>[2,6,5,1,3,4]
[5,2,1,6,3,4]=>[4,6,5,1,3,2]
[5,2,1,6,4,3]=>[4,6,5,1,2,3]
[5,2,3,1,4,6]=>[4,6,2,1,5,3]
[5,2,3,1,6,4]=>[3,6,2,1,5,4]
[5,2,3,4,1,6]=>[3,6,4,1,5,2]
[5,2,3,4,6,1]=>[4,6,3,1,5,2]
[5,2,3,6,1,4]=>[2,6,3,1,5,4]
[5,2,3,6,4,1]=>[2,6,4,1,5,3]
[5,2,4,1,3,6]=>[4,6,2,1,3,5]
[5,2,4,1,6,3]=>[3,6,2,1,4,5]
[5,2,4,3,1,6]=>[4,6,3,1,2,5]
[5,2,4,3,6,1]=>[3,6,4,1,2,5]
[5,2,4,6,1,3]=>[2,6,3,1,4,5]
[5,2,4,6,3,1]=>[2,6,4,1,3,5]
[5,2,6,1,3,4]=>[5,6,4,1,3,2]
[5,2,6,1,4,3]=>[5,6,4,1,2,3]
[5,2,6,3,1,4]=>[5,6,2,1,4,3]
[5,2,6,3,4,1]=>[5,6,3,1,4,2]
[5,2,6,4,1,3]=>[5,6,2,1,3,4]
[5,2,6,4,3,1]=>[5,6,3,1,2,4]
[5,3,1,2,4,6]=>[2,6,5,4,1,3]
[5,3,1,2,6,4]=>[3,6,5,4,1,2]
[5,3,1,4,2,6]=>[3,6,5,2,1,4]
[5,3,1,4,6,2]=>[2,6,5,3,1,4]
[5,3,1,6,2,4]=>[4,6,5,3,1,2]
[5,3,1,6,4,2]=>[4,6,5,2,1,3]
[5,3,2,1,4,6]=>[2,6,4,5,1,3]
[5,3,2,1,6,4]=>[3,6,4,5,1,2]
[5,3,2,4,1,6]=>[3,6,2,5,1,4]
[5,3,2,4,6,1]=>[2,6,3,5,1,4]
[5,3,2,6,1,4]=>[4,6,3,5,1,2]
[5,3,2,6,4,1]=>[4,6,2,5,1,3]
[5,3,4,1,2,6]=>[4,6,2,3,1,5]
[5,3,4,1,6,2]=>[3,6,2,4,1,5]
[5,3,4,2,1,6]=>[4,6,3,2,1,5]
[5,3,4,2,6,1]=>[3,6,4,2,1,5]
[5,3,4,6,1,2]=>[2,6,3,4,1,5]
[5,3,4,6,2,1]=>[2,6,4,3,1,5]
[5,3,6,1,2,4]=>[5,6,4,3,1,2]
[5,3,6,1,4,2]=>[5,6,4,2,1,3]
[5,3,6,2,1,4]=>[5,6,3,4,1,2]
[5,3,6,2,4,1]=>[5,6,2,4,1,3]
[5,3,6,4,1,2]=>[5,6,2,3,1,4]
[5,3,6,4,2,1]=>[5,6,3,2,1,4]
[5,4,1,2,3,6]=>[2,6,5,4,3,1]
[5,4,1,2,6,3]=>[3,6,5,4,2,1]
[5,4,1,3,2,6]=>[2,6,5,3,4,1]
[5,4,1,3,6,2]=>[3,6,5,2,4,1]
[5,4,1,6,2,3]=>[4,6,5,3,2,1]
[5,4,1,6,3,2]=>[4,6,5,2,3,1]
[5,4,2,1,3,6]=>[2,6,4,5,3,1]
[5,4,2,1,6,3]=>[3,6,4,5,2,1]
[5,4,2,3,1,6]=>[2,6,3,5,4,1]
[5,4,2,3,6,1]=>[3,6,2,5,4,1]
[5,4,2,6,1,3]=>[4,6,3,5,2,1]
[5,4,2,6,3,1]=>[4,6,2,5,3,1]
[5,4,3,1,2,6]=>[2,6,4,3,5,1]
[5,4,3,1,6,2]=>[3,6,4,2,5,1]
[5,4,3,2,1,6]=>[2,6,3,4,5,1]
[5,4,3,2,6,1]=>[3,6,2,4,5,1]
[5,4,3,6,1,2]=>[4,6,3,2,5,1]
[5,4,3,6,2,1]=>[4,6,2,3,5,1]
[5,4,6,1,2,3]=>[5,6,4,3,2,1]
[5,4,6,1,3,2]=>[5,6,4,2,3,1]
[5,4,6,2,1,3]=>[5,6,3,4,2,1]
[5,4,6,2,3,1]=>[5,6,2,4,3,1]
[5,4,6,3,1,2]=>[5,6,3,2,4,1]
[5,4,6,3,2,1]=>[5,6,2,3,4,1]
[5,6,1,2,3,4]=>[1,6,2,5,3,4]
[5,6,1,2,4,3]=>[1,6,2,5,4,3]
[5,6,1,3,2,4]=>[1,6,2,3,5,4]
[5,6,1,3,4,2]=>[1,6,2,4,5,3]
[5,6,1,4,2,3]=>[1,6,2,3,4,5]
[5,6,1,4,3,2]=>[1,6,2,4,3,5]
[5,6,2,1,3,4]=>[1,6,5,2,4,3]
[5,6,2,1,4,3]=>[1,6,5,2,3,4]
[5,6,2,3,1,4]=>[1,6,3,2,5,4]
[5,6,2,3,4,1]=>[1,6,4,2,5,3]
[5,6,2,4,1,3]=>[1,6,3,2,4,5]
[5,6,2,4,3,1]=>[1,6,4,2,3,5]
[5,6,3,1,2,4]=>[1,6,5,4,2,3]
[5,6,3,1,4,2]=>[1,6,5,3,2,4]
[5,6,3,2,1,4]=>[1,6,4,5,2,3]
[5,6,3,2,4,1]=>[1,6,3,5,2,4]
[5,6,3,4,1,2]=>[1,6,3,4,2,5]
[5,6,3,4,2,1]=>[1,6,4,3,2,5]
[5,6,4,1,2,3]=>[1,6,5,4,3,2]
[5,6,4,1,3,2]=>[1,6,5,3,4,2]
[5,6,4,2,1,3]=>[1,6,4,5,3,2]
[5,6,4,2,3,1]=>[1,6,3,5,4,2]
[5,6,4,3,1,2]=>[1,6,4,3,5,2]
[5,6,4,3,2,1]=>[1,6,3,4,5,2]
[6,1,2,3,4,5]=>[6,1,5,2,4,3]
[6,1,2,3,5,4]=>[6,1,5,2,3,4]
[6,1,2,4,3,5]=>[6,1,5,4,2,3]
[6,1,2,4,5,3]=>[6,1,5,3,2,4]
[6,1,2,5,3,4]=>[6,1,5,4,3,2]
[6,1,2,5,4,3]=>[6,1,5,3,4,2]
[6,1,3,2,4,5]=>[6,1,2,5,3,4]
[6,1,3,2,5,4]=>[6,1,2,5,4,3]
[6,1,3,4,2,5]=>[6,1,4,5,2,3]
[6,1,3,4,5,2]=>[6,1,3,5,2,4]
[6,1,3,5,2,4]=>[6,1,4,5,3,2]
[6,1,3,5,4,2]=>[6,1,3,5,4,2]
[6,1,4,2,3,5]=>[6,1,2,3,5,4]
[6,1,4,2,5,3]=>[6,1,2,4,5,3]
[6,1,4,3,2,5]=>[6,1,3,2,5,4]
[6,1,4,3,5,2]=>[6,1,4,2,5,3]
[6,1,4,5,2,3]=>[6,1,4,3,5,2]
[6,1,4,5,3,2]=>[6,1,3,4,5,2]
[6,1,5,2,3,4]=>[6,1,2,3,4,5]
[6,1,5,2,4,3]=>[6,1,2,4,3,5]
[6,1,5,3,2,4]=>[6,1,3,2,4,5]
[6,1,5,3,4,2]=>[6,1,4,2,3,5]
[6,1,5,4,2,3]=>[6,1,3,4,2,5]
[6,1,5,4,3,2]=>[6,1,4,3,2,5]
[6,2,1,3,4,5]=>[6,5,1,4,2,3]
[6,2,1,3,5,4]=>[6,5,1,4,3,2]
[6,2,1,4,3,5]=>[6,5,1,2,4,3]
[6,2,1,4,5,3]=>[6,5,1,3,4,2]
[6,2,1,5,3,4]=>[6,5,1,2,3,4]
[6,2,1,5,4,3]=>[6,5,1,3,2,4]
[6,2,3,1,4,5]=>[6,2,1,5,3,4]
[6,2,3,1,5,4]=>[6,2,1,5,4,3]
[6,2,3,4,1,5]=>[6,4,1,5,2,3]
[6,2,3,4,5,1]=>[6,3,1,5,2,4]
[6,2,3,5,1,4]=>[6,4,1,5,3,2]
[6,2,3,5,4,1]=>[6,3,1,5,4,2]
[6,2,4,1,3,5]=>[6,2,1,3,5,4]
[6,2,4,1,5,3]=>[6,2,1,4,5,3]
[6,2,4,3,1,5]=>[6,3,1,2,5,4]
[6,2,4,3,5,1]=>[6,4,1,2,5,3]
[6,2,4,5,1,3]=>[6,4,1,3,5,2]
[6,2,4,5,3,1]=>[6,3,1,4,5,2]
[6,2,5,1,3,4]=>[6,2,1,3,4,5]
[6,2,5,1,4,3]=>[6,2,1,4,3,5]
[6,2,5,3,1,4]=>[6,3,1,2,4,5]
[6,2,5,3,4,1]=>[6,4,1,2,3,5]
[6,2,5,4,1,3]=>[6,3,1,4,2,5]
[6,2,5,4,3,1]=>[6,4,1,3,2,5]
[6,3,1,2,4,5]=>[6,5,4,1,3,2]
[6,3,1,2,5,4]=>[6,5,4,1,2,3]
[6,3,1,4,2,5]=>[6,5,2,1,4,3]
[6,3,1,4,5,2]=>[6,5,3,1,4,2]
[6,3,1,5,2,4]=>[6,5,2,1,3,4]
[6,3,1,5,4,2]=>[6,5,3,1,2,4]
[6,3,2,1,4,5]=>[6,4,5,1,3,2]
[6,3,2,1,5,4]=>[6,4,5,1,2,3]
[6,3,2,4,1,5]=>[6,2,5,1,4,3]
[6,3,2,4,5,1]=>[6,3,5,1,4,2]
[6,3,2,5,1,4]=>[6,2,5,1,3,4]
[6,3,2,5,4,1]=>[6,3,5,1,2,4]
[6,3,4,1,2,5]=>[6,2,3,1,5,4]
[6,3,4,1,5,2]=>[6,2,4,1,5,3]
[6,3,4,2,1,5]=>[6,3,2,1,5,4]
[6,3,4,2,5,1]=>[6,4,2,1,5,3]
[6,3,4,5,1,2]=>[6,4,3,1,5,2]
[6,3,4,5,2,1]=>[6,3,4,1,5,2]
[6,3,5,1,2,4]=>[6,2,3,1,4,5]
[6,3,5,1,4,2]=>[6,2,4,1,3,5]
[6,3,5,2,1,4]=>[6,3,2,1,4,5]
[6,3,5,2,4,1]=>[6,4,2,1,3,5]
[6,3,5,4,1,2]=>[6,3,4,1,2,5]
[6,3,5,4,2,1]=>[6,4,3,1,2,5]
[6,4,1,2,3,5]=>[6,5,4,3,1,2]
[6,4,1,2,5,3]=>[6,5,4,2,1,3]
[6,4,1,3,2,5]=>[6,5,3,4,1,2]
[6,4,1,3,5,2]=>[6,5,2,4,1,3]
[6,4,1,5,2,3]=>[6,5,2,3,1,4]
[6,4,1,5,3,2]=>[6,5,3,2,1,4]
[6,4,2,1,3,5]=>[6,4,5,3,1,2]
[6,4,2,1,5,3]=>[6,4,5,2,1,3]
[6,4,2,3,1,5]=>[6,3,5,4,1,2]
[6,4,2,3,5,1]=>[6,2,5,4,1,3]
[6,4,2,5,1,3]=>[6,2,5,3,1,4]
[6,4,2,5,3,1]=>[6,3,5,2,1,4]
[6,4,3,1,2,5]=>[6,4,3,5,1,2]
[6,4,3,1,5,2]=>[6,4,2,5,1,3]
[6,4,3,2,1,5]=>[6,3,4,5,1,2]
[6,4,3,2,5,1]=>[6,2,4,5,1,3]
[6,4,3,5,1,2]=>[6,2,3,5,1,4]
[6,4,3,5,2,1]=>[6,3,2,5,1,4]
[6,4,5,1,2,3]=>[6,2,3,4,1,5]
[6,4,5,1,3,2]=>[6,2,4,3,1,5]
[6,4,5,2,1,3]=>[6,3,2,4,1,5]
[6,4,5,2,3,1]=>[6,4,2,3,1,5]
[6,4,5,3,1,2]=>[6,3,4,2,1,5]
[6,4,5,3,2,1]=>[6,4,3,2,1,5]
[6,5,1,2,3,4]=>[6,5,4,3,2,1]
[6,5,1,2,4,3]=>[6,5,4,2,3,1]
[6,5,1,3,2,4]=>[6,5,3,4,2,1]
[6,5,1,3,4,2]=>[6,5,2,4,3,1]
[6,5,1,4,2,3]=>[6,5,3,2,4,1]
[6,5,1,4,3,2]=>[6,5,2,3,4,1]
[6,5,2,1,3,4]=>[6,4,5,3,2,1]
[6,5,2,1,4,3]=>[6,4,5,2,3,1]
[6,5,2,3,1,4]=>[6,3,5,4,2,1]
[6,5,2,3,4,1]=>[6,2,5,4,3,1]
[6,5,2,4,1,3]=>[6,3,5,2,4,1]
[6,5,2,4,3,1]=>[6,2,5,3,4,1]
[6,5,3,1,2,4]=>[6,4,3,5,2,1]
[6,5,3,1,4,2]=>[6,4,2,5,3,1]
[6,5,3,2,1,4]=>[6,3,4,5,2,1]
[6,5,3,2,4,1]=>[6,2,4,5,3,1]
[6,5,3,4,1,2]=>[6,3,2,5,4,1]
[6,5,3,4,2,1]=>[6,2,3,5,4,1]
[6,5,4,1,2,3]=>[6,4,3,2,5,1]
[6,5,4,1,3,2]=>[6,4,2,3,5,1]
[6,5,4,2,1,3]=>[6,3,4,2,5,1]
[6,5,4,2,3,1]=>[6,2,4,3,5,1]
[6,5,4,3,1,2]=>[6,3,2,4,5,1]
[6,5,4,3,2,1]=>[6,2,3,4,5,1]
          

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

Description

The unique parking function obtained by subtracting the first entry from all others to obtain a Prüfer code and then applying the inverse of the Foata-Riordan map.
This map is the inverse of Mp00299ones to leading.

References

[1] Foata, D., Riordan, J. Mappings of acyclic and parking functions MathSciNet:0335294

Properties

bijective, graded

Sage code

def mapping(p):
    if not p:
        return p
    return pruefer_to_parking_foata_riordan(parking_to_pruefer_circular(p))

def parking_to_pruefer_circular(p):
    n = len(p)
    d = p[0]
    return [(p[i] - d) % (n+1) for i in range(1, n)]

def pruefer_to_tree(c):
    c = list(c)
    n = len(c) 
    V = list(range(n+2))
    G = Graph([V, []])
    for _ in range(n):
        i, u = next((i, u) for i, u in enumerate(V) if u not in c)
        del V[i]
        v = c.pop(0)
        G.add_edge(u, v)
    G.add_edge(V)
    return to_tree(G, 0)

def to_tree(G, r):
    if not G:
        return LabelledRootedTree([], r)
    roots = G[r]
    G.delete_vertex(r)
    return LabelledOrderedTree([to_tree(G.subgraph(G.connected_component_containing_vertex(u)), u)
                               for u in roots], r)


def pruefer_to_parking_foata_riordan(c):
    t = pruefer_to_tree(c)
    n = len(c) + 2
    labels = []
    f = [None]*(n-1)
    def action(u):
        i = u.label()
        labels.append(i)
        for c in u:
            f[c.label()-1] = i
    t.breadth_first_order_traversal(action)
    sigma = Permutation(labels[1:]).inverse()
    g = []
    for e in f:
        if e:
            g.append(1 + sigma(e))
        else:
            g.append(1)
    return ParkingFunction(g)

Weight

Created

Jun 16, 2023 at 22:35 by Martin Rubey

Updated

Jun 16, 2023 at 22:35 by Martin Rubey