- FindStat

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Identifier

Mp00265: Permutations —conjugation by long cycle⟶ Permutations

Images

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            [1]=>[1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[3,2,1]
[2,1,3]=>[1,3,2]
[2,3,1]=>[2,3,1]
[3,1,2]=>[3,1,2]
[3,2,1]=>[2,1,3]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[4,2,3,1]
[1,3,2,4]=>[1,2,4,3]
[1,3,4,2]=>[3,2,4,1]
[1,4,2,3]=>[4,2,1,3]
[1,4,3,2]=>[3,2,1,4]
[2,1,3,4]=>[1,3,2,4]
[2,1,4,3]=>[4,3,2,1]
[2,3,1,4]=>[1,3,4,2]
[2,3,4,1]=>[2,3,4,1]
[2,4,1,3]=>[4,3,1,2]
[2,4,3,1]=>[2,3,1,4]
[3,1,2,4]=>[1,4,2,3]
[3,1,4,2]=>[3,4,2,1]
[3,2,1,4]=>[1,4,3,2]
[3,2,4,1]=>[2,4,3,1]
[3,4,1,2]=>[3,4,1,2]
[3,4,2,1]=>[2,4,1,3]
[4,1,2,3]=>[4,1,2,3]
[4,1,3,2]=>[3,1,2,4]
[4,2,1,3]=>[4,1,3,2]
[4,2,3,1]=>[2,1,3,4]
[4,3,1,2]=>[3,1,4,2]
[4,3,2,1]=>[2,1,4,3]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[5,2,3,4,1]
[1,2,4,3,5]=>[1,2,3,5,4]
[1,2,4,5,3]=>[4,2,3,5,1]
[1,2,5,3,4]=>[5,2,3,1,4]
[1,2,5,4,3]=>[4,2,3,1,5]
[1,3,2,4,5]=>[1,2,4,3,5]
[1,3,2,5,4]=>[5,2,4,3,1]
[1,3,4,2,5]=>[1,2,4,5,3]
[1,3,4,5,2]=>[3,2,4,5,1]
[1,3,5,2,4]=>[5,2,4,1,3]
[1,3,5,4,2]=>[3,2,4,1,5]
[1,4,2,3,5]=>[1,2,5,3,4]
[1,4,2,5,3]=>[4,2,5,3,1]
[1,4,3,2,5]=>[1,2,5,4,3]
[1,4,3,5,2]=>[3,2,5,4,1]
[1,4,5,2,3]=>[4,2,5,1,3]
[1,4,5,3,2]=>[3,2,5,1,4]
[1,5,2,3,4]=>[5,2,1,3,4]
[1,5,2,4,3]=>[4,2,1,3,5]
[1,5,3,2,4]=>[5,2,1,4,3]
[1,5,3,4,2]=>[3,2,1,4,5]
[1,5,4,2,3]=>[4,2,1,5,3]
[1,5,4,3,2]=>[3,2,1,5,4]
[2,1,3,4,5]=>[1,3,2,4,5]
[2,1,3,5,4]=>[5,3,2,4,1]
[2,1,4,3,5]=>[1,3,2,5,4]
[2,1,4,5,3]=>[4,3,2,5,1]
[2,1,5,3,4]=>[5,3,2,1,4]
[2,1,5,4,3]=>[4,3,2,1,5]
[2,3,1,4,5]=>[1,3,4,2,5]
[2,3,1,5,4]=>[5,3,4,2,1]
[2,3,4,1,5]=>[1,3,4,5,2]
[2,3,4,5,1]=>[2,3,4,5,1]
[2,3,5,1,4]=>[5,3,4,1,2]
[2,3,5,4,1]=>[2,3,4,1,5]
[2,4,1,3,5]=>[1,3,5,2,4]
[2,4,1,5,3]=>[4,3,5,2,1]
[2,4,3,1,5]=>[1,3,5,4,2]
[2,4,3,5,1]=>[2,3,5,4,1]
[2,4,5,1,3]=>[4,3,5,1,2]
[2,4,5,3,1]=>[2,3,5,1,4]
[2,5,1,3,4]=>[5,3,1,2,4]
[2,5,1,4,3]=>[4,3,1,2,5]
[2,5,3,1,4]=>[5,3,1,4,2]
[2,5,3,4,1]=>[2,3,1,4,5]
[2,5,4,1,3]=>[4,3,1,5,2]
[2,5,4,3,1]=>[2,3,1,5,4]
[3,1,2,4,5]=>[1,4,2,3,5]
[3,1,2,5,4]=>[5,4,2,3,1]
[3,1,4,2,5]=>[1,4,2,5,3]
[3,1,4,5,2]=>[3,4,2,5,1]
[3,1,5,2,4]=>[5,4,2,1,3]
[3,1,5,4,2]=>[3,4,2,1,5]
[3,2,1,4,5]=>[1,4,3,2,5]
[3,2,1,5,4]=>[5,4,3,2,1]
[3,2,4,1,5]=>[1,4,3,5,2]
[3,2,4,5,1]=>[2,4,3,5,1]
[3,2,5,1,4]=>[5,4,3,1,2]
[3,2,5,4,1]=>[2,4,3,1,5]
[3,4,1,2,5]=>[1,4,5,2,3]
[3,4,1,5,2]=>[3,4,5,2,1]
[3,4,2,1,5]=>[1,4,5,3,2]
[3,4,2,5,1]=>[2,4,5,3,1]
[3,4,5,1,2]=>[3,4,5,1,2]
[3,4,5,2,1]=>[2,4,5,1,3]
[3,5,1,2,4]=>[5,4,1,2,3]
[3,5,1,4,2]=>[3,4,1,2,5]
[3,5,2,1,4]=>[5,4,1,3,2]
[3,5,2,4,1]=>[2,4,1,3,5]
[3,5,4,1,2]=>[3,4,1,5,2]
[3,5,4,2,1]=>[2,4,1,5,3]
[4,1,2,3,5]=>[1,5,2,3,4]
[4,1,2,5,3]=>[4,5,2,3,1]
[4,1,3,2,5]=>[1,5,2,4,3]
[4,1,3,5,2]=>[3,5,2,4,1]
[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,5,3,2]=>[3,5,2,1,4]
[4,2,1,3,5]=>[1,5,3,2,4]
[4,2,1,5,3]=>[4,5,3,2,1]
[4,2,3,1,5]=>[1,5,3,4,2]
[4,2,3,5,1]=>[2,5,3,4,1]
[4,2,5,1,3]=>[4,5,3,1,2]
[4,2,5,3,1]=>[2,5,3,1,4]
[4,3,1,2,5]=>[1,5,4,2,3]
[4,3,1,5,2]=>[3,5,4,2,1]
[4,3,2,1,5]=>[1,5,4,3,2]
[4,3,2,5,1]=>[2,5,4,3,1]
[4,3,5,1,2]=>[3,5,4,1,2]
[4,3,5,2,1]=>[2,5,4,1,3]
[4,5,1,2,3]=>[4,5,1,2,3]
[4,5,1,3,2]=>[3,5,1,2,4]
[4,5,2,1,3]=>[4,5,1,3,2]
[4,5,2,3,1]=>[2,5,1,3,4]
[4,5,3,1,2]=>[3,5,1,4,2]
[4,5,3,2,1]=>[2,5,1,4,3]
[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,4,3]=>[4,1,2,3,5]
[5,1,3,2,4]=>[5,1,2,4,3]
[5,1,3,4,2]=>[3,1,2,4,5]
[5,1,4,2,3]=>[4,1,2,5,3]
[5,1,4,3,2]=>[3,1,2,5,4]
[5,2,1,3,4]=>[5,1,3,2,4]
[5,2,1,4,3]=>[4,1,3,2,5]
[5,2,3,1,4]=>[5,1,3,4,2]
[5,2,3,4,1]=>[2,1,3,4,5]
[5,2,4,1,3]=>[4,1,3,5,2]
[5,2,4,3,1]=>[2,1,3,5,4]
[5,3,1,2,4]=>[5,1,4,2,3]
[5,3,1,4,2]=>[3,1,4,2,5]
[5,3,2,1,4]=>[5,1,4,3,2]
[5,3,2,4,1]=>[2,1,4,3,5]
[5,3,4,1,2]=>[3,1,4,5,2]
[5,3,4,2,1]=>[2,1,4,5,3]
[5,4,1,2,3]=>[4,1,5,2,3]
[5,4,1,3,2]=>[3,1,5,2,4]
[5,4,2,1,3]=>[4,1,5,3,2]
[5,4,2,3,1]=>[2,1,5,3,4]
[5,4,3,1,2]=>[3,1,5,4,2]
[5,4,3,2,1]=>[2,1,5,4,3]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[6,2,3,4,5,1]
[1,2,3,5,4,6]=>[1,2,3,4,6,5]
[1,2,3,5,6,4]=>[5,2,3,4,6,1]
[1,2,3,6,4,5]=>[6,2,3,4,1,5]
[1,2,3,6,5,4]=>[5,2,3,4,1,6]
[1,2,4,3,5,6]=>[1,2,3,5,4,6]
[1,2,4,3,6,5]=>[6,2,3,5,4,1]
[1,2,4,5,3,6]=>[1,2,3,5,6,4]
[1,2,4,5,6,3]=>[4,2,3,5,6,1]
[1,2,4,6,3,5]=>[6,2,3,5,1,4]
[1,2,4,6,5,3]=>[4,2,3,5,1,6]
[1,2,5,3,4,6]=>[1,2,3,6,4,5]
[1,2,5,3,6,4]=>[5,2,3,6,4,1]
[1,2,5,4,3,6]=>[1,2,3,6,5,4]
[1,2,5,4,6,3]=>[4,2,3,6,5,1]
[1,2,5,6,3,4]=>[5,2,3,6,1,4]
[1,2,5,6,4,3]=>[4,2,3,6,1,5]
[1,2,6,3,4,5]=>[6,2,3,1,4,5]
[1,2,6,3,5,4]=>[5,2,3,1,4,6]
[1,2,6,4,3,5]=>[6,2,3,1,5,4]
[1,2,6,4,5,3]=>[4,2,3,1,5,6]
[1,2,6,5,3,4]=>[5,2,3,1,6,4]
[1,2,6,5,4,3]=>[4,2,3,1,6,5]
[1,3,2,4,5,6]=>[1,2,4,3,5,6]
[1,3,2,4,6,5]=>[6,2,4,3,5,1]
[1,3,2,5,4,6]=>[1,2,4,3,6,5]
[1,3,2,5,6,4]=>[5,2,4,3,6,1]
[1,3,2,6,4,5]=>[6,2,4,3,1,5]
[1,3,2,6,5,4]=>[5,2,4,3,1,6]
[1,3,4,2,5,6]=>[1,2,4,5,3,6]
[1,3,4,2,6,5]=>[6,2,4,5,3,1]
[1,3,4,5,2,6]=>[1,2,4,5,6,3]
[1,3,4,5,6,2]=>[3,2,4,5,6,1]
[1,3,4,6,2,5]=>[6,2,4,5,1,3]
[1,3,4,6,5,2]=>[3,2,4,5,1,6]
[1,3,5,2,4,6]=>[1,2,4,6,3,5]
[1,3,5,2,6,4]=>[5,2,4,6,3,1]
[1,3,5,4,2,6]=>[1,2,4,6,5,3]
[1,3,5,4,6,2]=>[3,2,4,6,5,1]
[1,3,5,6,2,4]=>[5,2,4,6,1,3]
[1,3,5,6,4,2]=>[3,2,4,6,1,5]
[1,3,6,2,4,5]=>[6,2,4,1,3,5]
[1,3,6,2,5,4]=>[5,2,4,1,3,6]
[1,3,6,4,2,5]=>[6,2,4,1,5,3]
[1,3,6,4,5,2]=>[3,2,4,1,5,6]
[1,3,6,5,2,4]=>[5,2,4,1,6,3]
[1,3,6,5,4,2]=>[3,2,4,1,6,5]
[1,4,2,3,5,6]=>[1,2,5,3,4,6]
[1,4,2,3,6,5]=>[6,2,5,3,4,1]
[1,4,2,5,3,6]=>[1,2,5,3,6,4]
[1,4,2,5,6,3]=>[4,2,5,3,6,1]
[1,4,2,6,3,5]=>[6,2,5,3,1,4]
[1,4,2,6,5,3]=>[4,2,5,3,1,6]
[1,4,3,2,5,6]=>[1,2,5,4,3,6]
[1,4,3,2,6,5]=>[6,2,5,4,3,1]
[1,4,3,5,2,6]=>[1,2,5,4,6,3]
[1,4,3,5,6,2]=>[3,2,5,4,6,1]
[1,4,3,6,2,5]=>[6,2,5,4,1,3]
[1,4,3,6,5,2]=>[3,2,5,4,1,6]
[1,4,5,2,3,6]=>[1,2,5,6,3,4]
[1,4,5,2,6,3]=>[4,2,5,6,3,1]
[1,4,5,3,2,6]=>[1,2,5,6,4,3]
[1,4,5,3,6,2]=>[3,2,5,6,4,1]
[1,4,5,6,2,3]=>[4,2,5,6,1,3]
[1,4,5,6,3,2]=>[3,2,5,6,1,4]
[1,4,6,2,3,5]=>[6,2,5,1,3,4]
[1,4,6,2,5,3]=>[4,2,5,1,3,6]
[1,4,6,3,2,5]=>[6,2,5,1,4,3]
[1,4,6,3,5,2]=>[3,2,5,1,4,6]
[1,4,6,5,2,3]=>[4,2,5,1,6,3]
[1,4,6,5,3,2]=>[3,2,5,1,6,4]
[1,5,2,3,4,6]=>[1,2,6,3,4,5]
[1,5,2,3,6,4]=>[5,2,6,3,4,1]
[1,5,2,4,3,6]=>[1,2,6,3,5,4]
[1,5,2,4,6,3]=>[4,2,6,3,5,1]
[1,5,2,6,3,4]=>[5,2,6,3,1,4]
[1,5,2,6,4,3]=>[4,2,6,3,1,5]
[1,5,3,2,4,6]=>[1,2,6,4,3,5]
[1,5,3,2,6,4]=>[5,2,6,4,3,1]
[1,5,3,4,2,6]=>[1,2,6,4,5,3]
[1,5,3,4,6,2]=>[3,2,6,4,5,1]
[1,5,3,6,2,4]=>[5,2,6,4,1,3]
[1,5,3,6,4,2]=>[3,2,6,4,1,5]
[1,5,4,2,3,6]=>[1,2,6,5,3,4]
[1,5,4,2,6,3]=>[4,2,6,5,3,1]
[1,5,4,3,2,6]=>[1,2,6,5,4,3]
[1,5,4,3,6,2]=>[3,2,6,5,4,1]
[1,5,4,6,2,3]=>[4,2,6,5,1,3]
[1,5,4,6,3,2]=>[3,2,6,5,1,4]
[1,5,6,2,3,4]=>[5,2,6,1,3,4]
[1,5,6,2,4,3]=>[4,2,6,1,3,5]
[1,5,6,3,2,4]=>[5,2,6,1,4,3]
[1,5,6,3,4,2]=>[3,2,6,1,4,5]
[1,5,6,4,2,3]=>[4,2,6,1,5,3]
[1,5,6,4,3,2]=>[3,2,6,1,5,4]
[1,6,2,3,4,5]=>[6,2,1,3,4,5]
[1,6,2,3,5,4]=>[5,2,1,3,4,6]
[1,6,2,4,3,5]=>[6,2,1,3,5,4]
[1,6,2,4,5,3]=>[4,2,1,3,5,6]
[1,6,2,5,3,4]=>[5,2,1,3,6,4]
[1,6,2,5,4,3]=>[4,2,1,3,6,5]
[1,6,3,2,4,5]=>[6,2,1,4,3,5]
[1,6,3,2,5,4]=>[5,2,1,4,3,6]
[1,6,3,4,2,5]=>[6,2,1,4,5,3]
[1,6,3,4,5,2]=>[3,2,1,4,5,6]
[1,6,3,5,2,4]=>[5,2,1,4,6,3]
[1,6,3,5,4,2]=>[3,2,1,4,6,5]
[1,6,4,2,3,5]=>[6,2,1,5,3,4]
[1,6,4,2,5,3]=>[4,2,1,5,3,6]
[1,6,4,3,2,5]=>[6,2,1,5,4,3]
[1,6,4,3,5,2]=>[3,2,1,5,4,6]
[1,6,4,5,2,3]=>[4,2,1,5,6,3]
[1,6,4,5,3,2]=>[3,2,1,5,6,4]
[1,6,5,2,3,4]=>[5,2,1,6,3,4]
[1,6,5,2,4,3]=>[4,2,1,6,3,5]
[1,6,5,3,2,4]=>[5,2,1,6,4,3]
[1,6,5,3,4,2]=>[3,2,1,6,4,5]
[1,6,5,4,2,3]=>[4,2,1,6,5,3]
[1,6,5,4,3,2]=>[3,2,1,6,5,4]
[2,1,3,4,5,6]=>[1,3,2,4,5,6]
[2,1,3,4,6,5]=>[6,3,2,4,5,1]
[2,1,3,5,4,6]=>[1,3,2,4,6,5]
[2,1,3,5,6,4]=>[5,3,2,4,6,1]
[2,1,3,6,4,5]=>[6,3,2,4,1,5]
[2,1,3,6,5,4]=>[5,3,2,4,1,6]
[2,1,4,3,5,6]=>[1,3,2,5,4,6]
[2,1,4,3,6,5]=>[6,3,2,5,4,1]
[2,1,4,5,3,6]=>[1,3,2,5,6,4]
[2,1,4,5,6,3]=>[4,3,2,5,6,1]
[2,1,4,6,3,5]=>[6,3,2,5,1,4]
[2,1,4,6,5,3]=>[4,3,2,5,1,6]
[2,1,5,3,4,6]=>[1,3,2,6,4,5]
[2,1,5,3,6,4]=>[5,3,2,6,4,1]
[2,1,5,4,3,6]=>[1,3,2,6,5,4]
[2,1,5,4,6,3]=>[4,3,2,6,5,1]
[2,1,5,6,3,4]=>[5,3,2,6,1,4]
[2,1,5,6,4,3]=>[4,3,2,6,1,5]
[2,1,6,3,4,5]=>[6,3,2,1,4,5]
[2,1,6,3,5,4]=>[5,3,2,1,4,6]
[2,1,6,4,3,5]=>[6,3,2,1,5,4]
[2,1,6,4,5,3]=>[4,3,2,1,5,6]
[2,1,6,5,3,4]=>[5,3,2,1,6,4]
[2,1,6,5,4,3]=>[4,3,2,1,6,5]
[2,3,1,4,5,6]=>[1,3,4,2,5,6]
[2,3,1,4,6,5]=>[6,3,4,2,5,1]
[2,3,1,5,4,6]=>[1,3,4,2,6,5]
[2,3,1,5,6,4]=>[5,3,4,2,6,1]
[2,3,1,6,4,5]=>[6,3,4,2,1,5]
[2,3,1,6,5,4]=>[5,3,4,2,1,6]
[2,3,4,1,5,6]=>[1,3,4,5,2,6]
[2,3,4,1,6,5]=>[6,3,4,5,2,1]
[2,3,4,5,1,6]=>[1,3,4,5,6,2]
[2,3,4,5,6,1]=>[2,3,4,5,6,1]
[2,3,4,6,1,5]=>[6,3,4,5,1,2]
[2,3,4,6,5,1]=>[2,3,4,5,1,6]
[2,3,5,1,4,6]=>[1,3,4,6,2,5]
[2,3,5,1,6,4]=>[5,3,4,6,2,1]
[2,3,5,4,1,6]=>[1,3,4,6,5,2]
[2,3,5,4,6,1]=>[2,3,4,6,5,1]
[2,3,5,6,1,4]=>[5,3,4,6,1,2]
[2,3,5,6,4,1]=>[2,3,4,6,1,5]
[2,3,6,1,4,5]=>[6,3,4,1,2,5]
[2,3,6,1,5,4]=>[5,3,4,1,2,6]
[2,3,6,4,1,5]=>[6,3,4,1,5,2]
[2,3,6,4,5,1]=>[2,3,4,1,5,6]
[2,3,6,5,1,4]=>[5,3,4,1,6,2]
[2,3,6,5,4,1]=>[2,3,4,1,6,5]
[2,4,1,3,5,6]=>[1,3,5,2,4,6]
[2,4,1,3,6,5]=>[6,3,5,2,4,1]
[2,4,1,5,3,6]=>[1,3,5,2,6,4]
[2,4,1,5,6,3]=>[4,3,5,2,6,1]
[2,4,1,6,3,5]=>[6,3,5,2,1,4]
[2,4,1,6,5,3]=>[4,3,5,2,1,6]
[2,4,3,1,5,6]=>[1,3,5,4,2,6]
[2,4,3,1,6,5]=>[6,3,5,4,2,1]
[2,4,3,5,1,6]=>[1,3,5,4,6,2]
[2,4,3,5,6,1]=>[2,3,5,4,6,1]
[2,4,3,6,1,5]=>[6,3,5,4,1,2]
[2,4,3,6,5,1]=>[2,3,5,4,1,6]
[2,4,5,1,3,6]=>[1,3,5,6,2,4]
[2,4,5,1,6,3]=>[4,3,5,6,2,1]
[2,4,5,3,1,6]=>[1,3,5,6,4,2]
[2,4,5,3,6,1]=>[2,3,5,6,4,1]
[2,4,5,6,1,3]=>[4,3,5,6,1,2]
[2,4,5,6,3,1]=>[2,3,5,6,1,4]
[2,4,6,1,3,5]=>[6,3,5,1,2,4]
[2,4,6,1,5,3]=>[4,3,5,1,2,6]
[2,4,6,3,1,5]=>[6,3,5,1,4,2]
[2,4,6,3,5,1]=>[2,3,5,1,4,6]
[2,4,6,5,1,3]=>[4,3,5,1,6,2]
[2,4,6,5,3,1]=>[2,3,5,1,6,4]
[2,5,1,3,4,6]=>[1,3,6,2,4,5]
[2,5,1,3,6,4]=>[5,3,6,2,4,1]
[2,5,1,4,3,6]=>[1,3,6,2,5,4]
[2,5,1,4,6,3]=>[4,3,6,2,5,1]
[2,5,1,6,3,4]=>[5,3,6,2,1,4]
[2,5,1,6,4,3]=>[4,3,6,2,1,5]
[2,5,3,1,4,6]=>[1,3,6,4,2,5]
[2,5,3,1,6,4]=>[5,3,6,4,2,1]
[2,5,3,4,1,6]=>[1,3,6,4,5,2]
[2,5,3,4,6,1]=>[2,3,6,4,5,1]
[2,5,3,6,1,4]=>[5,3,6,4,1,2]
[2,5,3,6,4,1]=>[2,3,6,4,1,5]
[2,5,4,1,3,6]=>[1,3,6,5,2,4]
[2,5,4,1,6,3]=>[4,3,6,5,2,1]
[2,5,4,3,1,6]=>[1,3,6,5,4,2]
[2,5,4,3,6,1]=>[2,3,6,5,4,1]
[2,5,4,6,1,3]=>[4,3,6,5,1,2]
[2,5,4,6,3,1]=>[2,3,6,5,1,4]
[2,5,6,1,3,4]=>[5,3,6,1,2,4]
[2,5,6,1,4,3]=>[4,3,6,1,2,5]
[2,5,6,3,1,4]=>[5,3,6,1,4,2]
[2,5,6,3,4,1]=>[2,3,6,1,4,5]
[2,5,6,4,1,3]=>[4,3,6,1,5,2]
[2,5,6,4,3,1]=>[2,3,6,1,5,4]
[2,6,1,3,4,5]=>[6,3,1,2,4,5]
[2,6,1,3,5,4]=>[5,3,1,2,4,6]
[2,6,1,4,3,5]=>[6,3,1,2,5,4]
[2,6,1,4,5,3]=>[4,3,1,2,5,6]
[2,6,1,5,3,4]=>[5,3,1,2,6,4]
[2,6,1,5,4,3]=>[4,3,1,2,6,5]
[2,6,3,1,4,5]=>[6,3,1,4,2,5]
[2,6,3,1,5,4]=>[5,3,1,4,2,6]
[2,6,3,4,1,5]=>[6,3,1,4,5,2]
[2,6,3,4,5,1]=>[2,3,1,4,5,6]
[2,6,3,5,1,4]=>[5,3,1,4,6,2]
[2,6,3,5,4,1]=>[2,3,1,4,6,5]
[2,6,4,1,3,5]=>[6,3,1,5,2,4]
[2,6,4,1,5,3]=>[4,3,1,5,2,6]
[2,6,4,3,1,5]=>[6,3,1,5,4,2]
[2,6,4,3,5,1]=>[2,3,1,5,4,6]
[2,6,4,5,1,3]=>[4,3,1,5,6,2]
[2,6,4,5,3,1]=>[2,3,1,5,6,4]
[2,6,5,1,3,4]=>[5,3,1,6,2,4]
[2,6,5,1,4,3]=>[4,3,1,6,2,5]
[2,6,5,3,1,4]=>[5,3,1,6,4,2]
[2,6,5,3,4,1]=>[2,3,1,6,4,5]
[2,6,5,4,1,3]=>[4,3,1,6,5,2]
[2,6,5,4,3,1]=>[2,3,1,6,5,4]
[3,1,2,4,5,6]=>[1,4,2,3,5,6]
[3,1,2,4,6,5]=>[6,4,2,3,5,1]
[3,1,2,5,4,6]=>[1,4,2,3,6,5]
[3,1,2,5,6,4]=>[5,4,2,3,6,1]
[3,1,2,6,4,5]=>[6,4,2,3,1,5]
[3,1,2,6,5,4]=>[5,4,2,3,1,6]
[3,1,4,2,5,6]=>[1,4,2,5,3,6]
[3,1,4,2,6,5]=>[6,4,2,5,3,1]
[3,1,4,5,2,6]=>[1,4,2,5,6,3]
[3,1,4,5,6,2]=>[3,4,2,5,6,1]
[3,1,4,6,2,5]=>[6,4,2,5,1,3]
[3,1,4,6,5,2]=>[3,4,2,5,1,6]
[3,1,5,2,4,6]=>[1,4,2,6,3,5]
[3,1,5,2,6,4]=>[5,4,2,6,3,1]
[3,1,5,4,2,6]=>[1,4,2,6,5,3]
[3,1,5,4,6,2]=>[3,4,2,6,5,1]
[3,1,5,6,2,4]=>[5,4,2,6,1,3]
[3,1,5,6,4,2]=>[3,4,2,6,1,5]
[3,1,6,2,4,5]=>[6,4,2,1,3,5]
[3,1,6,2,5,4]=>[5,4,2,1,3,6]
[3,1,6,4,2,5]=>[6,4,2,1,5,3]
[3,1,6,4,5,2]=>[3,4,2,1,5,6]
[3,1,6,5,2,4]=>[5,4,2,1,6,3]
[3,1,6,5,4,2]=>[3,4,2,1,6,5]
[3,2,1,4,5,6]=>[1,4,3,2,5,6]
[3,2,1,4,6,5]=>[6,4,3,2,5,1]
[3,2,1,5,4,6]=>[1,4,3,2,6,5]
[3,2,1,5,6,4]=>[5,4,3,2,6,1]
[3,2,1,6,4,5]=>[6,4,3,2,1,5]
[3,2,1,6,5,4]=>[5,4,3,2,1,6]
[3,2,4,1,5,6]=>[1,4,3,5,2,6]
[3,2,4,1,6,5]=>[6,4,3,5,2,1]
[3,2,4,5,1,6]=>[1,4,3,5,6,2]
[3,2,4,5,6,1]=>[2,4,3,5,6,1]
[3,2,4,6,1,5]=>[6,4,3,5,1,2]
[3,2,4,6,5,1]=>[2,4,3,5,1,6]
[3,2,5,1,4,6]=>[1,4,3,6,2,5]
[3,2,5,1,6,4]=>[5,4,3,6,2,1]
[3,2,5,4,1,6]=>[1,4,3,6,5,2]
[3,2,5,4,6,1]=>[2,4,3,6,5,1]
[3,2,5,6,1,4]=>[5,4,3,6,1,2]
[3,2,5,6,4,1]=>[2,4,3,6,1,5]
[3,2,6,1,4,5]=>[6,4,3,1,2,5]
[3,2,6,1,5,4]=>[5,4,3,1,2,6]
[3,2,6,4,1,5]=>[6,4,3,1,5,2]
[3,2,6,4,5,1]=>[2,4,3,1,5,6]
[3,2,6,5,1,4]=>[5,4,3,1,6,2]
[3,2,6,5,4,1]=>[2,4,3,1,6,5]
[3,4,1,2,5,6]=>[1,4,5,2,3,6]
[3,4,1,2,6,5]=>[6,4,5,2,3,1]
[3,4,1,5,2,6]=>[1,4,5,2,6,3]
[3,4,1,5,6,2]=>[3,4,5,2,6,1]
[3,4,1,6,2,5]=>[6,4,5,2,1,3]
[3,4,1,6,5,2]=>[3,4,5,2,1,6]
[3,4,2,1,5,6]=>[1,4,5,3,2,6]
[3,4,2,1,6,5]=>[6,4,5,3,2,1]
[3,4,2,5,1,6]=>[1,4,5,3,6,2]
[3,4,2,5,6,1]=>[2,4,5,3,6,1]
[3,4,2,6,1,5]=>[6,4,5,3,1,2]
[3,4,2,6,5,1]=>[2,4,5,3,1,6]
[3,4,5,1,2,6]=>[1,4,5,6,2,3]
[3,4,5,1,6,2]=>[3,4,5,6,2,1]
[3,4,5,2,1,6]=>[1,4,5,6,3,2]
[3,4,5,2,6,1]=>[2,4,5,6,3,1]
[3,4,5,6,1,2]=>[3,4,5,6,1,2]
[3,4,5,6,2,1]=>[2,4,5,6,1,3]
[3,4,6,1,2,5]=>[6,4,5,1,2,3]
[3,4,6,1,5,2]=>[3,4,5,1,2,6]
[3,4,6,2,1,5]=>[6,4,5,1,3,2]
[3,4,6,2,5,1]=>[2,4,5,1,3,6]
[3,4,6,5,1,2]=>[3,4,5,1,6,2]
[3,4,6,5,2,1]=>[2,4,5,1,6,3]
[3,5,1,2,4,6]=>[1,4,6,2,3,5]
[3,5,1,2,6,4]=>[5,4,6,2,3,1]
[3,5,1,4,2,6]=>[1,4,6,2,5,3]
[3,5,1,4,6,2]=>[3,4,6,2,5,1]
[3,5,1,6,2,4]=>[5,4,6,2,1,3]
[3,5,1,6,4,2]=>[3,4,6,2,1,5]
[3,5,2,1,4,6]=>[1,4,6,3,2,5]
[3,5,2,1,6,4]=>[5,4,6,3,2,1]
[3,5,2,4,1,6]=>[1,4,6,3,5,2]
[3,5,2,4,6,1]=>[2,4,6,3,5,1]
[3,5,2,6,1,4]=>[5,4,6,3,1,2]
[3,5,2,6,4,1]=>[2,4,6,3,1,5]
[3,5,4,1,2,6]=>[1,4,6,5,2,3]
[3,5,4,1,6,2]=>[3,4,6,5,2,1]
[3,5,4,2,1,6]=>[1,4,6,5,3,2]
[3,5,4,2,6,1]=>[2,4,6,5,3,1]
[3,5,4,6,1,2]=>[3,4,6,5,1,2]
[3,5,4,6,2,1]=>[2,4,6,5,1,3]
[3,5,6,1,2,4]=>[5,4,6,1,2,3]
[3,5,6,1,4,2]=>[3,4,6,1,2,5]
[3,5,6,2,1,4]=>[5,4,6,1,3,2]
[3,5,6,2,4,1]=>[2,4,6,1,3,5]
[3,5,6,4,1,2]=>[3,4,6,1,5,2]
[3,5,6,4,2,1]=>[2,4,6,1,5,3]
[3,6,1,2,4,5]=>[6,4,1,2,3,5]
[3,6,1,2,5,4]=>[5,4,1,2,3,6]
[3,6,1,4,2,5]=>[6,4,1,2,5,3]
[3,6,1,4,5,2]=>[3,4,1,2,5,6]
[3,6,1,5,2,4]=>[5,4,1,2,6,3]
[3,6,1,5,4,2]=>[3,4,1,2,6,5]
[3,6,2,1,4,5]=>[6,4,1,3,2,5]
[3,6,2,1,5,4]=>[5,4,1,3,2,6]
[3,6,2,4,1,5]=>[6,4,1,3,5,2]
[3,6,2,4,5,1]=>[2,4,1,3,5,6]
[3,6,2,5,1,4]=>[5,4,1,3,6,2]
[3,6,2,5,4,1]=>[2,4,1,3,6,5]
[3,6,4,1,2,5]=>[6,4,1,5,2,3]
[3,6,4,1,5,2]=>[3,4,1,5,2,6]
[3,6,4,2,1,5]=>[6,4,1,5,3,2]
[3,6,4,2,5,1]=>[2,4,1,5,3,6]
[3,6,4,5,1,2]=>[3,4,1,5,6,2]
[3,6,4,5,2,1]=>[2,4,1,5,6,3]
[3,6,5,1,2,4]=>[5,4,1,6,2,3]
[3,6,5,1,4,2]=>[3,4,1,6,2,5]
[3,6,5,2,1,4]=>[5,4,1,6,3,2]
[3,6,5,2,4,1]=>[2,4,1,6,3,5]
[3,6,5,4,1,2]=>[3,4,1,6,5,2]
[3,6,5,4,2,1]=>[2,4,1,6,5,3]
[4,1,2,3,5,6]=>[1,5,2,3,4,6]
[4,1,2,3,6,5]=>[6,5,2,3,4,1]
[4,1,2,5,3,6]=>[1,5,2,3,6,4]
[4,1,2,5,6,3]=>[4,5,2,3,6,1]
[4,1,2,6,3,5]=>[6,5,2,3,1,4]
[4,1,2,6,5,3]=>[4,5,2,3,1,6]
[4,1,3,2,5,6]=>[1,5,2,4,3,6]
[4,1,3,2,6,5]=>[6,5,2,4,3,1]
[4,1,3,5,2,6]=>[1,5,2,4,6,3]
[4,1,3,5,6,2]=>[3,5,2,4,6,1]
[4,1,3,6,2,5]=>[6,5,2,4,1,3]
[4,1,3,6,5,2]=>[3,5,2,4,1,6]
[4,1,5,2,3,6]=>[1,5,2,6,3,4]
[4,1,5,2,6,3]=>[4,5,2,6,3,1]
[4,1,5,3,2,6]=>[1,5,2,6,4,3]
[4,1,5,3,6,2]=>[3,5,2,6,4,1]
[4,1,5,6,2,3]=>[4,5,2,6,1,3]
[4,1,5,6,3,2]=>[3,5,2,6,1,4]
[4,1,6,2,3,5]=>[6,5,2,1,3,4]
[4,1,6,2,5,3]=>[4,5,2,1,3,6]
[4,1,6,3,2,5]=>[6,5,2,1,4,3]
[4,1,6,3,5,2]=>[3,5,2,1,4,6]
[4,1,6,5,2,3]=>[4,5,2,1,6,3]
[4,1,6,5,3,2]=>[3,5,2,1,6,4]
[4,2,1,3,5,6]=>[1,5,3,2,4,6]
[4,2,1,3,6,5]=>[6,5,3,2,4,1]
[4,2,1,5,3,6]=>[1,5,3,2,6,4]
[4,2,1,5,6,3]=>[4,5,3,2,6,1]
[4,2,1,6,3,5]=>[6,5,3,2,1,4]
[4,2,1,6,5,3]=>[4,5,3,2,1,6]
[4,2,3,1,5,6]=>[1,5,3,4,2,6]
[4,2,3,1,6,5]=>[6,5,3,4,2,1]
[4,2,3,5,1,6]=>[1,5,3,4,6,2]
[4,2,3,5,6,1]=>[2,5,3,4,6,1]
[4,2,3,6,1,5]=>[6,5,3,4,1,2]
[4,2,3,6,5,1]=>[2,5,3,4,1,6]
[4,2,5,1,3,6]=>[1,5,3,6,2,4]
[4,2,5,1,6,3]=>[4,5,3,6,2,1]
[4,2,5,3,1,6]=>[1,5,3,6,4,2]
[4,2,5,3,6,1]=>[2,5,3,6,4,1]
[4,2,5,6,1,3]=>[4,5,3,6,1,2]
[4,2,5,6,3,1]=>[2,5,3,6,1,4]
[4,2,6,1,3,5]=>[6,5,3,1,2,4]
[4,2,6,1,5,3]=>[4,5,3,1,2,6]
[4,2,6,3,1,5]=>[6,5,3,1,4,2]
[4,2,6,3,5,1]=>[2,5,3,1,4,6]
[4,2,6,5,1,3]=>[4,5,3,1,6,2]
[4,2,6,5,3,1]=>[2,5,3,1,6,4]
[4,3,1,2,5,6]=>[1,5,4,2,3,6]
[4,3,1,2,6,5]=>[6,5,4,2,3,1]
[4,3,1,5,2,6]=>[1,5,4,2,6,3]
[4,3,1,5,6,2]=>[3,5,4,2,6,1]
[4,3,1,6,2,5]=>[6,5,4,2,1,3]
[4,3,1,6,5,2]=>[3,5,4,2,1,6]
[4,3,2,1,5,6]=>[1,5,4,3,2,6]
[4,3,2,1,6,5]=>[6,5,4,3,2,1]
[4,3,2,5,1,6]=>[1,5,4,3,6,2]
[4,3,2,5,6,1]=>[2,5,4,3,6,1]
[4,3,2,6,1,5]=>[6,5,4,3,1,2]
[4,3,2,6,5,1]=>[2,5,4,3,1,6]
[4,3,5,1,2,6]=>[1,5,4,6,2,3]
[4,3,5,1,6,2]=>[3,5,4,6,2,1]
[4,3,5,2,1,6]=>[1,5,4,6,3,2]
[4,3,5,2,6,1]=>[2,5,4,6,3,1]
[4,3,5,6,1,2]=>[3,5,4,6,1,2]
[4,3,5,6,2,1]=>[2,5,4,6,1,3]
[4,3,6,1,2,5]=>[6,5,4,1,2,3]
[4,3,6,1,5,2]=>[3,5,4,1,2,6]
[4,3,6,2,1,5]=>[6,5,4,1,3,2]
[4,3,6,2,5,1]=>[2,5,4,1,3,6]
[4,3,6,5,1,2]=>[3,5,4,1,6,2]
[4,3,6,5,2,1]=>[2,5,4,1,6,3]
[4,5,1,2,3,6]=>[1,5,6,2,3,4]
[4,5,1,2,6,3]=>[4,5,6,2,3,1]
[4,5,1,3,2,6]=>[1,5,6,2,4,3]
[4,5,1,3,6,2]=>[3,5,6,2,4,1]
[4,5,1,6,2,3]=>[4,5,6,2,1,3]
[4,5,1,6,3,2]=>[3,5,6,2,1,4]
[4,5,2,1,3,6]=>[1,5,6,3,2,4]
[4,5,2,1,6,3]=>[4,5,6,3,2,1]
[4,5,2,3,1,6]=>[1,5,6,3,4,2]
[4,5,2,3,6,1]=>[2,5,6,3,4,1]
[4,5,2,6,1,3]=>[4,5,6,3,1,2]
[4,5,2,6,3,1]=>[2,5,6,3,1,4]
[4,5,3,1,2,6]=>[1,5,6,4,2,3]
[4,5,3,1,6,2]=>[3,5,6,4,2,1]
[4,5,3,2,1,6]=>[1,5,6,4,3,2]
[4,5,3,2,6,1]=>[2,5,6,4,3,1]
[4,5,3,6,1,2]=>[3,5,6,4,1,2]
[4,5,3,6,2,1]=>[2,5,6,4,1,3]
[4,5,6,1,2,3]=>[4,5,6,1,2,3]
[4,5,6,1,3,2]=>[3,5,6,1,2,4]
[4,5,6,2,1,3]=>[4,5,6,1,3,2]
[4,5,6,2,3,1]=>[2,5,6,1,3,4]
[4,5,6,3,1,2]=>[3,5,6,1,4,2]
[4,5,6,3,2,1]=>[2,5,6,1,4,3]
[4,6,1,2,3,5]=>[6,5,1,2,3,4]
[4,6,1,2,5,3]=>[4,5,1,2,3,6]
[4,6,1,3,2,5]=>[6,5,1,2,4,3]
[4,6,1,3,5,2]=>[3,5,1,2,4,6]
[4,6,1,5,2,3]=>[4,5,1,2,6,3]
[4,6,1,5,3,2]=>[3,5,1,2,6,4]
[4,6,2,1,3,5]=>[6,5,1,3,2,4]
[4,6,2,1,5,3]=>[4,5,1,3,2,6]
[4,6,2,3,1,5]=>[6,5,1,3,4,2]
[4,6,2,3,5,1]=>[2,5,1,3,4,6]
[4,6,2,5,1,3]=>[4,5,1,3,6,2]
[4,6,2,5,3,1]=>[2,5,1,3,6,4]
[4,6,3,1,2,5]=>[6,5,1,4,2,3]
[4,6,3,1,5,2]=>[3,5,1,4,2,6]
[4,6,3,2,1,5]=>[6,5,1,4,3,2]
[4,6,3,2,5,1]=>[2,5,1,4,3,6]
[4,6,3,5,1,2]=>[3,5,1,4,6,2]
[4,6,3,5,2,1]=>[2,5,1,4,6,3]
[4,6,5,1,2,3]=>[4,5,1,6,2,3]
[4,6,5,1,3,2]=>[3,5,1,6,2,4]
[4,6,5,2,1,3]=>[4,5,1,6,3,2]
[4,6,5,2,3,1]=>[2,5,1,6,3,4]
[4,6,5,3,1,2]=>[3,5,1,6,4,2]
[4,6,5,3,2,1]=>[2,5,1,6,4,3]
[5,1,2,3,4,6]=>[1,6,2,3,4,5]
[5,1,2,3,6,4]=>[5,6,2,3,4,1]
[5,1,2,4,3,6]=>[1,6,2,3,5,4]
[5,1,2,4,6,3]=>[4,6,2,3,5,1]
[5,1,2,6,3,4]=>[5,6,2,3,1,4]
[5,1,2,6,4,3]=>[4,6,2,3,1,5]
[5,1,3,2,4,6]=>[1,6,2,4,3,5]
[5,1,3,2,6,4]=>[5,6,2,4,3,1]
[5,1,3,4,2,6]=>[1,6,2,4,5,3]
[5,1,3,4,6,2]=>[3,6,2,4,5,1]
[5,1,3,6,2,4]=>[5,6,2,4,1,3]
[5,1,3,6,4,2]=>[3,6,2,4,1,5]
[5,1,4,2,3,6]=>[1,6,2,5,3,4]
[5,1,4,2,6,3]=>[4,6,2,5,3,1]
[5,1,4,3,2,6]=>[1,6,2,5,4,3]
[5,1,4,3,6,2]=>[3,6,2,5,4,1]
[5,1,4,6,2,3]=>[4,6,2,5,1,3]
[5,1,4,6,3,2]=>[3,6,2,5,1,4]
[5,1,6,2,3,4]=>[5,6,2,1,3,4]
[5,1,6,2,4,3]=>[4,6,2,1,3,5]
[5,1,6,3,2,4]=>[5,6,2,1,4,3]
[5,1,6,3,4,2]=>[3,6,2,1,4,5]
[5,1,6,4,2,3]=>[4,6,2,1,5,3]
[5,1,6,4,3,2]=>[3,6,2,1,5,4]
[5,2,1,3,4,6]=>[1,6,3,2,4,5]
[5,2,1,3,6,4]=>[5,6,3,2,4,1]
[5,2,1,4,3,6]=>[1,6,3,2,5,4]
[5,2,1,4,6,3]=>[4,6,3,2,5,1]
[5,2,1,6,3,4]=>[5,6,3,2,1,4]
[5,2,1,6,4,3]=>[4,6,3,2,1,5]
[5,2,3,1,4,6]=>[1,6,3,4,2,5]
[5,2,3,1,6,4]=>[5,6,3,4,2,1]
[5,2,3,4,1,6]=>[1,6,3,4,5,2]
[5,2,3,4,6,1]=>[2,6,3,4,5,1]
[5,2,3,6,1,4]=>[5,6,3,4,1,2]
[5,2,3,6,4,1]=>[2,6,3,4,1,5]
[5,2,4,1,3,6]=>[1,6,3,5,2,4]
[5,2,4,1,6,3]=>[4,6,3,5,2,1]
[5,2,4,3,1,6]=>[1,6,3,5,4,2]
[5,2,4,3,6,1]=>[2,6,3,5,4,1]
[5,2,4,6,1,3]=>[4,6,3,5,1,2]
[5,2,4,6,3,1]=>[2,6,3,5,1,4]
[5,2,6,1,3,4]=>[5,6,3,1,2,4]
[5,2,6,1,4,3]=>[4,6,3,1,2,5]
[5,2,6,3,1,4]=>[5,6,3,1,4,2]
[5,2,6,3,4,1]=>[2,6,3,1,4,5]
[5,2,6,4,1,3]=>[4,6,3,1,5,2]
[5,2,6,4,3,1]=>[2,6,3,1,5,4]
[5,3,1,2,4,6]=>[1,6,4,2,3,5]
[5,3,1,2,6,4]=>[5,6,4,2,3,1]
[5,3,1,4,2,6]=>[1,6,4,2,5,3]
[5,3,1,4,6,2]=>[3,6,4,2,5,1]
[5,3,1,6,2,4]=>[5,6,4,2,1,3]
[5,3,1,6,4,2]=>[3,6,4,2,1,5]
[5,3,2,1,4,6]=>[1,6,4,3,2,5]
[5,3,2,1,6,4]=>[5,6,4,3,2,1]
[5,3,2,4,1,6]=>[1,6,4,3,5,2]
[5,3,2,4,6,1]=>[2,6,4,3,5,1]
[5,3,2,6,1,4]=>[5,6,4,3,1,2]
[5,3,2,6,4,1]=>[2,6,4,3,1,5]
[5,3,4,1,2,6]=>[1,6,4,5,2,3]
[5,3,4,1,6,2]=>[3,6,4,5,2,1]
[5,3,4,2,1,6]=>[1,6,4,5,3,2]
[5,3,4,2,6,1]=>[2,6,4,5,3,1]
[5,3,4,6,1,2]=>[3,6,4,5,1,2]
[5,3,4,6,2,1]=>[2,6,4,5,1,3]
[5,3,6,1,2,4]=>[5,6,4,1,2,3]
[5,3,6,1,4,2]=>[3,6,4,1,2,5]
[5,3,6,2,1,4]=>[5,6,4,1,3,2]
[5,3,6,2,4,1]=>[2,6,4,1,3,5]
[5,3,6,4,1,2]=>[3,6,4,1,5,2]
[5,3,6,4,2,1]=>[2,6,4,1,5,3]
[5,4,1,2,3,6]=>[1,6,5,2,3,4]
[5,4,1,2,6,3]=>[4,6,5,2,3,1]
[5,4,1,3,2,6]=>[1,6,5,2,4,3]
[5,4,1,3,6,2]=>[3,6,5,2,4,1]
[5,4,1,6,2,3]=>[4,6,5,2,1,3]
[5,4,1,6,3,2]=>[3,6,5,2,1,4]
[5,4,2,1,3,6]=>[1,6,5,3,2,4]
[5,4,2,1,6,3]=>[4,6,5,3,2,1]
[5,4,2,3,1,6]=>[1,6,5,3,4,2]
[5,4,2,3,6,1]=>[2,6,5,3,4,1]
[5,4,2,6,1,3]=>[4,6,5,3,1,2]
[5,4,2,6,3,1]=>[2,6,5,3,1,4]
[5,4,3,1,2,6]=>[1,6,5,4,2,3]
[5,4,3,1,6,2]=>[3,6,5,4,2,1]
[5,4,3,2,1,6]=>[1,6,5,4,3,2]
[5,4,3,2,6,1]=>[2,6,5,4,3,1]
[5,4,3,6,1,2]=>[3,6,5,4,1,2]
[5,4,3,6,2,1]=>[2,6,5,4,1,3]
[5,4,6,1,2,3]=>[4,6,5,1,2,3]
[5,4,6,1,3,2]=>[3,6,5,1,2,4]
[5,4,6,2,1,3]=>[4,6,5,1,3,2]
[5,4,6,2,3,1]=>[2,6,5,1,3,4]
[5,4,6,3,1,2]=>[3,6,5,1,4,2]
[5,4,6,3,2,1]=>[2,6,5,1,4,3]
[5,6,1,2,3,4]=>[5,6,1,2,3,4]
[5,6,1,2,4,3]=>[4,6,1,2,3,5]
[5,6,1,3,2,4]=>[5,6,1,2,4,3]
[5,6,1,3,4,2]=>[3,6,1,2,4,5]
[5,6,1,4,2,3]=>[4,6,1,2,5,3]
[5,6,1,4,3,2]=>[3,6,1,2,5,4]
[5,6,2,1,3,4]=>[5,6,1,3,2,4]
[5,6,2,1,4,3]=>[4,6,1,3,2,5]
[5,6,2,3,1,4]=>[5,6,1,3,4,2]
[5,6,2,3,4,1]=>[2,6,1,3,4,5]
[5,6,2,4,1,3]=>[4,6,1,3,5,2]
[5,6,2,4,3,1]=>[2,6,1,3,5,4]
[5,6,3,1,2,4]=>[5,6,1,4,2,3]
[5,6,3,1,4,2]=>[3,6,1,4,2,5]
[5,6,3,2,1,4]=>[5,6,1,4,3,2]
[5,6,3,2,4,1]=>[2,6,1,4,3,5]
[5,6,3,4,1,2]=>[3,6,1,4,5,2]
[5,6,3,4,2,1]=>[2,6,1,4,5,3]
[5,6,4,1,2,3]=>[4,6,1,5,2,3]
[5,6,4,1,3,2]=>[3,6,1,5,2,4]
[5,6,4,2,1,3]=>[4,6,1,5,3,2]
[5,6,4,2,3,1]=>[2,6,1,5,3,4]
[5,6,4,3,1,2]=>[3,6,1,5,4,2]
[5,6,4,3,2,1]=>[2,6,1,5,4,3]
[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[6,1,2,3,5,4]=>[5,1,2,3,4,6]
[6,1,2,4,3,5]=>[6,1,2,3,5,4]
[6,1,2,4,5,3]=>[4,1,2,3,5,6]
[6,1,2,5,3,4]=>[5,1,2,3,6,4]
[6,1,2,5,4,3]=>[4,1,2,3,6,5]
[6,1,3,2,4,5]=>[6,1,2,4,3,5]
[6,1,3,2,5,4]=>[5,1,2,4,3,6]
[6,1,3,4,2,5]=>[6,1,2,4,5,3]
[6,1,3,4,5,2]=>[3,1,2,4,5,6]
[6,1,3,5,2,4]=>[5,1,2,4,6,3]
[6,1,3,5,4,2]=>[3,1,2,4,6,5]
[6,1,4,2,3,5]=>[6,1,2,5,3,4]
[6,1,4,2,5,3]=>[4,1,2,5,3,6]
[6,1,4,3,2,5]=>[6,1,2,5,4,3]
[6,1,4,3,5,2]=>[3,1,2,5,4,6]
[6,1,4,5,2,3]=>[4,1,2,5,6,3]
[6,1,4,5,3,2]=>[3,1,2,5,6,4]
[6,1,5,2,3,4]=>[5,1,2,6,3,4]
[6,1,5,2,4,3]=>[4,1,2,6,3,5]
[6,1,5,3,2,4]=>[5,1,2,6,4,3]
[6,1,5,3,4,2]=>[3,1,2,6,4,5]
[6,1,5,4,2,3]=>[4,1,2,6,5,3]
[6,1,5,4,3,2]=>[3,1,2,6,5,4]
[6,2,1,3,4,5]=>[6,1,3,2,4,5]
[6,2,1,3,5,4]=>[5,1,3,2,4,6]
[6,2,1,4,3,5]=>[6,1,3,2,5,4]
[6,2,1,4,5,3]=>[4,1,3,2,5,6]
[6,2,1,5,3,4]=>[5,1,3,2,6,4]
[6,2,1,5,4,3]=>[4,1,3,2,6,5]
[6,2,3,1,4,5]=>[6,1,3,4,2,5]
[6,2,3,1,5,4]=>[5,1,3,4,2,6]
[6,2,3,4,1,5]=>[6,1,3,4,5,2]
[6,2,3,4,5,1]=>[2,1,3,4,5,6]
[6,2,3,5,1,4]=>[5,1,3,4,6,2]
[6,2,3,5,4,1]=>[2,1,3,4,6,5]
[6,2,4,1,3,5]=>[6,1,3,5,2,4]
[6,2,4,1,5,3]=>[4,1,3,5,2,6]
[6,2,4,3,1,5]=>[6,1,3,5,4,2]
[6,2,4,3,5,1]=>[2,1,3,5,4,6]
[6,2,4,5,1,3]=>[4,1,3,5,6,2]
[6,2,4,5,3,1]=>[2,1,3,5,6,4]
[6,2,5,1,3,4]=>[5,1,3,6,2,4]
[6,2,5,1,4,3]=>[4,1,3,6,2,5]
[6,2,5,3,1,4]=>[5,1,3,6,4,2]
[6,2,5,3,4,1]=>[2,1,3,6,4,5]
[6,2,5,4,1,3]=>[4,1,3,6,5,2]
[6,2,5,4,3,1]=>[2,1,3,6,5,4]
[6,3,1,2,4,5]=>[6,1,4,2,3,5]
[6,3,1,2,5,4]=>[5,1,4,2,3,6]
[6,3,1,4,2,5]=>[6,1,4,2,5,3]
[6,3,1,4,5,2]=>[3,1,4,2,5,6]
[6,3,1,5,2,4]=>[5,1,4,2,6,3]
[6,3,1,5,4,2]=>[3,1,4,2,6,5]
[6,3,2,1,4,5]=>[6,1,4,3,2,5]
[6,3,2,1,5,4]=>[5,1,4,3,2,6]
[6,3,2,4,1,5]=>[6,1,4,3,5,2]
[6,3,2,4,5,1]=>[2,1,4,3,5,6]
[6,3,2,5,1,4]=>[5,1,4,3,6,2]
[6,3,2,5,4,1]=>[2,1,4,3,6,5]
[6,3,4,1,2,5]=>[6,1,4,5,2,3]
[6,3,4,1,5,2]=>[3,1,4,5,2,6]
[6,3,4,2,1,5]=>[6,1,4,5,3,2]
[6,3,4,2,5,1]=>[2,1,4,5,3,6]
[6,3,4,5,1,2]=>[3,1,4,5,6,2]
[6,3,4,5,2,1]=>[2,1,4,5,6,3]
[6,3,5,1,2,4]=>[5,1,4,6,2,3]
[6,3,5,1,4,2]=>[3,1,4,6,2,5]
[6,3,5,2,1,4]=>[5,1,4,6,3,2]
[6,3,5,2,4,1]=>[2,1,4,6,3,5]
[6,3,5,4,1,2]=>[3,1,4,6,5,2]
[6,3,5,4,2,1]=>[2,1,4,6,5,3]
[6,4,1,2,3,5]=>[6,1,5,2,3,4]
[6,4,1,2,5,3]=>[4,1,5,2,3,6]
[6,4,1,3,2,5]=>[6,1,5,2,4,3]
[6,4,1,3,5,2]=>[3,1,5,2,4,6]
[6,4,1,5,2,3]=>[4,1,5,2,6,3]
[6,4,1,5,3,2]=>[3,1,5,2,6,4]
[6,4,2,1,3,5]=>[6,1,5,3,2,4]
[6,4,2,1,5,3]=>[4,1,5,3,2,6]
[6,4,2,3,1,5]=>[6,1,5,3,4,2]
[6,4,2,3,5,1]=>[2,1,5,3,4,6]
[6,4,2,5,1,3]=>[4,1,5,3,6,2]
[6,4,2,5,3,1]=>[2,1,5,3,6,4]
[6,4,3,1,2,5]=>[6,1,5,4,2,3]
[6,4,3,1,5,2]=>[3,1,5,4,2,6]
[6,4,3,2,1,5]=>[6,1,5,4,3,2]
[6,4,3,2,5,1]=>[2,1,5,4,3,6]
[6,4,3,5,1,2]=>[3,1,5,4,6,2]
[6,4,3,5,2,1]=>[2,1,5,4,6,3]
[6,4,5,1,2,3]=>[4,1,5,6,2,3]
[6,4,5,1,3,2]=>[3,1,5,6,2,4]
[6,4,5,2,1,3]=>[4,1,5,6,3,2]
[6,4,5,2,3,1]=>[2,1,5,6,3,4]
[6,4,5,3,1,2]=>[3,1,5,6,4,2]
[6,4,5,3,2,1]=>[2,1,5,6,4,3]
[6,5,1,2,3,4]=>[5,1,6,2,3,4]
[6,5,1,2,4,3]=>[4,1,6,2,3,5]
[6,5,1,3,2,4]=>[5,1,6,2,4,3]
[6,5,1,3,4,2]=>[3,1,6,2,4,5]
[6,5,1,4,2,3]=>[4,1,6,2,5,3]
[6,5,1,4,3,2]=>[3,1,6,2,5,4]
[6,5,2,1,3,4]=>[5,1,6,3,2,4]
[6,5,2,1,4,3]=>[4,1,6,3,2,5]
[6,5,2,3,1,4]=>[5,1,6,3,4,2]
[6,5,2,3,4,1]=>[2,1,6,3,4,5]
[6,5,2,4,1,3]=>[4,1,6,3,5,2]
[6,5,2,4,3,1]=>[2,1,6,3,5,4]
[6,5,3,1,2,4]=>[5,1,6,4,2,3]
[6,5,3,1,4,2]=>[3,1,6,4,2,5]
[6,5,3,2,1,4]=>[5,1,6,4,3,2]
[6,5,3,2,4,1]=>[2,1,6,4,3,5]
[6,5,3,4,1,2]=>[3,1,6,4,5,2]
[6,5,3,4,2,1]=>[2,1,6,4,5,3]
[6,5,4,1,2,3]=>[4,1,6,5,2,3]
[6,5,4,1,3,2]=>[3,1,6,5,2,4]
[6,5,4,2,1,3]=>[4,1,6,5,3,2]
[6,5,4,2,3,1]=>[2,1,6,5,3,4]
[6,5,4,3,1,2]=>[3,1,6,5,4,2]
[6,5,4,3,2,1]=>[2,1,6,5,4,3]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[7,2,3,4,5,6,1]
[1,2,3,4,6,5,7]=>[1,2,3,4,5,7,6]
[1,2,3,4,6,7,5]=>[6,2,3,4,5,7,1]
[1,2,3,4,7,5,6]=>[7,2,3,4,5,1,6]
[1,2,3,4,7,6,5]=>[6,2,3,4,5,1,7]
[1,2,3,5,4,6,7]=>[1,2,3,4,6,5,7]
[1,2,3,5,4,7,6]=>[7,2,3,4,6,5,1]
[1,2,3,5,6,4,7]=>[1,2,3,4,6,7,5]
[1,2,3,5,6,7,4]=>[5,2,3,4,6,7,1]
[1,2,3,5,7,4,6]=>[7,2,3,4,6,1,5]
[1,2,3,5,7,6,4]=>[5,2,3,4,6,1,7]
[1,2,3,6,4,5,7]=>[1,2,3,4,7,5,6]
[1,2,3,6,4,7,5]=>[6,2,3,4,7,5,1]
[1,2,3,6,5,4,7]=>[1,2,3,4,7,6,5]
[1,2,3,6,5,7,4]=>[5,2,3,4,7,6,1]
[1,2,3,6,7,4,5]=>[6,2,3,4,7,1,5]
[1,2,3,6,7,5,4]=>[5,2,3,4,7,1,6]
[1,2,3,7,4,5,6]=>[7,2,3,4,1,5,6]
[1,2,3,7,4,6,5]=>[6,2,3,4,1,5,7]
[1,2,3,7,5,4,6]=>[7,2,3,4,1,6,5]
[1,2,3,7,5,6,4]=>[5,2,3,4,1,6,7]
[1,2,3,7,6,4,5]=>[6,2,3,4,1,7,5]
[1,2,3,7,6,5,4]=>[5,2,3,4,1,7,6]
[1,2,4,3,5,6,7]=>[1,2,3,5,4,6,7]
[1,2,4,3,5,7,6]=>[7,2,3,5,4,6,1]
[1,2,4,3,6,5,7]=>[1,2,3,5,4,7,6]
[1,2,4,3,6,7,5]=>[6,2,3,5,4,7,1]
[1,2,4,3,7,5,6]=>[7,2,3,5,4,1,6]
[1,2,4,3,7,6,5]=>[6,2,3,5,4,1,7]
[1,2,4,5,3,6,7]=>[1,2,3,5,6,4,7]
[1,2,4,5,3,7,6]=>[7,2,3,5,6,4,1]
[1,2,4,5,6,3,7]=>[1,2,3,5,6,7,4]
[1,2,4,5,6,7,3]=>[4,2,3,5,6,7,1]
[1,2,4,5,7,3,6]=>[7,2,3,5,6,1,4]
[1,2,4,5,7,6,3]=>[4,2,3,5,6,1,7]
[1,2,4,6,3,5,7]=>[1,2,3,5,7,4,6]
[1,2,4,6,3,7,5]=>[6,2,3,5,7,4,1]
[1,2,4,6,5,3,7]=>[1,2,3,5,7,6,4]
[1,2,4,6,5,7,3]=>[4,2,3,5,7,6,1]
[1,2,4,6,7,3,5]=>[6,2,3,5,7,1,4]
[1,2,4,6,7,5,3]=>[4,2,3,5,7,1,6]
[1,2,4,7,3,5,6]=>[7,2,3,5,1,4,6]
[1,2,4,7,3,6,5]=>[6,2,3,5,1,4,7]
[1,2,4,7,5,3,6]=>[7,2,3,5,1,6,4]
[1,2,4,7,5,6,3]=>[4,2,3,5,1,6,7]
[1,2,4,7,6,3,5]=>[6,2,3,5,1,7,4]
[1,2,4,7,6,5,3]=>[4,2,3,5,1,7,6]
[1,2,5,3,4,6,7]=>[1,2,3,6,4,5,7]
[1,2,5,3,4,7,6]=>[7,2,3,6,4,5,1]
[1,2,5,3,6,4,7]=>[1,2,3,6,4,7,5]
[1,2,5,3,6,7,4]=>[5,2,3,6,4,7,1]
[1,2,5,3,7,4,6]=>[7,2,3,6,4,1,5]
[1,2,5,3,7,6,4]=>[5,2,3,6,4,1,7]
[1,2,5,4,3,6,7]=>[1,2,3,6,5,4,7]
[1,2,5,4,3,7,6]=>[7,2,3,6,5,4,1]
[1,2,5,4,6,3,7]=>[1,2,3,6,5,7,4]
[1,2,5,4,6,7,3]=>[4,2,3,6,5,7,1]
[1,2,5,4,7,3,6]=>[7,2,3,6,5,1,4]
[1,2,5,4,7,6,3]=>[4,2,3,6,5,1,7]
[1,2,5,6,3,4,7]=>[1,2,3,6,7,4,5]
[1,2,5,6,3,7,4]=>[5,2,3,6,7,4,1]
[1,2,5,6,4,3,7]=>[1,2,3,6,7,5,4]
[1,2,5,6,4,7,3]=>[4,2,3,6,7,5,1]
[1,2,5,6,7,3,4]=>[5,2,3,6,7,1,4]
[1,2,5,6,7,4,3]=>[4,2,3,6,7,1,5]
[1,2,5,7,3,4,6]=>[7,2,3,6,1,4,5]
[1,2,5,7,3,6,4]=>[5,2,3,6,1,4,7]
[1,2,5,7,4,3,6]=>[7,2,3,6,1,5,4]
[1,2,5,7,4,6,3]=>[4,2,3,6,1,5,7]
[1,2,5,7,6,3,4]=>[5,2,3,6,1,7,4]
[1,2,5,7,6,4,3]=>[4,2,3,6,1,7,5]
[1,2,6,3,4,5,7]=>[1,2,3,7,4,5,6]
[1,2,6,3,4,7,5]=>[6,2,3,7,4,5,1]
[1,2,6,3,5,4,7]=>[1,2,3,7,4,6,5]
[1,2,6,3,5,7,4]=>[5,2,3,7,4,6,1]
[1,2,6,3,7,4,5]=>[6,2,3,7,4,1,5]
[1,2,6,3,7,5,4]=>[5,2,3,7,4,1,6]
[1,2,6,4,3,5,7]=>[1,2,3,7,5,4,6]
[1,2,6,4,3,7,5]=>[6,2,3,7,5,4,1]
[1,2,6,4,5,3,7]=>[1,2,3,7,5,6,4]
[1,2,6,4,5,7,3]=>[4,2,3,7,5,6,1]
[1,2,6,4,7,3,5]=>[6,2,3,7,5,1,4]
[1,2,6,4,7,5,3]=>[4,2,3,7,5,1,6]
[1,2,6,5,3,4,7]=>[1,2,3,7,6,4,5]
[1,2,6,5,3,7,4]=>[5,2,3,7,6,4,1]
[1,2,6,5,4,3,7]=>[1,2,3,7,6,5,4]
[1,2,6,5,4,7,3]=>[4,2,3,7,6,5,1]
[1,2,6,5,7,3,4]=>[5,2,3,7,6,1,4]
[1,2,6,5,7,4,3]=>[4,2,3,7,6,1,5]
[1,2,6,7,3,4,5]=>[6,2,3,7,1,4,5]
[1,2,6,7,3,5,4]=>[5,2,3,7,1,4,6]
[1,2,6,7,4,3,5]=>[6,2,3,7,1,5,4]
[1,2,6,7,4,5,3]=>[4,2,3,7,1,5,6]
[1,2,6,7,5,3,4]=>[5,2,3,7,1,6,4]
[1,2,6,7,5,4,3]=>[4,2,3,7,1,6,5]
[1,2,7,3,4,5,6]=>[7,2,3,1,4,5,6]
[1,2,7,3,4,6,5]=>[6,2,3,1,4,5,7]
[1,2,7,3,5,4,6]=>[7,2,3,1,4,6,5]
[1,2,7,3,5,6,4]=>[5,2,3,1,4,6,7]
[1,2,7,3,6,4,5]=>[6,2,3,1,4,7,5]
[1,2,7,3,6,5,4]=>[5,2,3,1,4,7,6]
[1,2,7,4,3,5,6]=>[7,2,3,1,5,4,6]
[1,2,7,4,3,6,5]=>[6,2,3,1,5,4,7]
[1,2,7,4,5,3,6]=>[7,2,3,1,5,6,4]
[1,2,7,4,5,6,3]=>[4,2,3,1,5,6,7]
[1,2,7,4,6,3,5]=>[6,2,3,1,5,7,4]
[1,2,7,4,6,5,3]=>[4,2,3,1,5,7,6]
[1,2,7,5,3,4,6]=>[7,2,3,1,6,4,5]
[1,2,7,5,3,6,4]=>[5,2,3,1,6,4,7]
[1,2,7,5,4,3,6]=>[7,2,3,1,6,5,4]
[1,2,7,5,4,6,3]=>[4,2,3,1,6,5,7]
[1,2,7,5,6,3,4]=>[5,2,3,1,6,7,4]
[1,2,7,5,6,4,3]=>[4,2,3,1,6,7,5]
[1,2,7,6,3,4,5]=>[6,2,3,1,7,4,5]
[1,2,7,6,3,5,4]=>[5,2,3,1,7,4,6]
[1,2,7,6,4,3,5]=>[6,2,3,1,7,5,4]
[1,2,7,6,4,5,3]=>[4,2,3,1,7,5,6]
[1,2,7,6,5,3,4]=>[5,2,3,1,7,6,4]
[1,2,7,6,5,4,3]=>[4,2,3,1,7,6,5]
[1,3,2,4,5,6,7]=>[1,2,4,3,5,6,7]
[1,3,2,4,5,7,6]=>[7,2,4,3,5,6,1]
[1,3,2,4,6,5,7]=>[1,2,4,3,5,7,6]
[1,3,2,4,6,7,5]=>[6,2,4,3,5,7,1]
[1,3,2,4,7,5,6]=>[7,2,4,3,5,1,6]
[1,3,2,4,7,6,5]=>[6,2,4,3,5,1,7]
[1,3,2,5,4,6,7]=>[1,2,4,3,6,5,7]
[1,3,2,5,4,7,6]=>[7,2,4,3,6,5,1]
[1,3,2,5,6,4,7]=>[1,2,4,3,6,7,5]
[1,3,2,5,6,7,4]=>[5,2,4,3,6,7,1]
[1,3,2,5,7,4,6]=>[7,2,4,3,6,1,5]
[1,3,2,5,7,6,4]=>[5,2,4,3,6,1,7]
[1,3,2,6,4,5,7]=>[1,2,4,3,7,5,6]
[1,3,2,6,4,7,5]=>[6,2,4,3,7,5,1]
[1,3,2,6,5,4,7]=>[1,2,4,3,7,6,5]
[1,3,2,6,5,7,4]=>[5,2,4,3,7,6,1]
[1,3,2,6,7,4,5]=>[6,2,4,3,7,1,5]
[1,3,2,6,7,5,4]=>[5,2,4,3,7,1,6]
[1,3,2,7,4,5,6]=>[7,2,4,3,1,5,6]
[1,3,2,7,4,6,5]=>[6,2,4,3,1,5,7]
[1,3,2,7,5,4,6]=>[7,2,4,3,1,6,5]
[1,3,2,7,5,6,4]=>[5,2,4,3,1,6,7]
[1,3,2,7,6,4,5]=>[6,2,4,3,1,7,5]
[1,3,2,7,6,5,4]=>[5,2,4,3,1,7,6]
[1,3,4,2,5,6,7]=>[1,2,4,5,3,6,7]
[1,3,4,2,5,7,6]=>[7,2,4,5,3,6,1]
[1,3,4,2,6,5,7]=>[1,2,4,5,3,7,6]
[1,3,4,2,6,7,5]=>[6,2,4,5,3,7,1]
[1,3,4,2,7,5,6]=>[7,2,4,5,3,1,6]
[1,3,4,2,7,6,5]=>[6,2,4,5,3,1,7]
[1,3,4,5,2,6,7]=>[1,2,4,5,6,3,7]
[1,3,4,5,2,7,6]=>[7,2,4,5,6,3,1]
[1,3,4,5,6,2,7]=>[1,2,4,5,6,7,3]
[1,3,4,5,6,7,2]=>[3,2,4,5,6,7,1]
[1,3,4,5,7,2,6]=>[7,2,4,5,6,1,3]
[1,3,4,5,7,6,2]=>[3,2,4,5,6,1,7]
[1,3,4,6,2,5,7]=>[1,2,4,5,7,3,6]
[1,3,4,6,2,7,5]=>[6,2,4,5,7,3,1]
[1,3,4,6,5,2,7]=>[1,2,4,5,7,6,3]
[1,3,4,6,5,7,2]=>[3,2,4,5,7,6,1]
[1,3,4,6,7,2,5]=>[6,2,4,5,7,1,3]
[1,3,4,6,7,5,2]=>[3,2,4,5,7,1,6]
[1,3,4,7,2,5,6]=>[7,2,4,5,1,3,6]
[1,3,4,7,2,6,5]=>[6,2,4,5,1,3,7]
[1,3,4,7,5,2,6]=>[7,2,4,5,1,6,3]
[1,3,4,7,5,6,2]=>[3,2,4,5,1,6,7]
[1,3,4,7,6,2,5]=>[6,2,4,5,1,7,3]
[1,3,4,7,6,5,2]=>[3,2,4,5,1,7,6]
[1,3,5,2,4,6,7]=>[1,2,4,6,3,5,7]
[1,3,5,2,4,7,6]=>[7,2,4,6,3,5,1]
[1,3,5,2,6,4,7]=>[1,2,4,6,3,7,5]
[1,3,5,2,6,7,4]=>[5,2,4,6,3,7,1]
[1,3,5,2,7,4,6]=>[7,2,4,6,3,1,5]
[1,3,5,2,7,6,4]=>[5,2,4,6,3,1,7]
[1,3,5,4,2,6,7]=>[1,2,4,6,5,3,7]
[1,3,5,4,2,7,6]=>[7,2,4,6,5,3,1]
[1,3,5,4,6,2,7]=>[1,2,4,6,5,7,3]
[1,3,5,4,6,7,2]=>[3,2,4,6,5,7,1]
[1,3,5,4,7,2,6]=>[7,2,4,6,5,1,3]
[1,3,5,4,7,6,2]=>[3,2,4,6,5,1,7]
[1,3,5,6,2,4,7]=>[1,2,4,6,7,3,5]
[1,3,5,6,2,7,4]=>[5,2,4,6,7,3,1]
[1,3,5,6,4,2,7]=>[1,2,4,6,7,5,3]
[1,3,5,6,4,7,2]=>[3,2,4,6,7,5,1]
[1,3,5,6,7,2,4]=>[5,2,4,6,7,1,3]
[1,3,5,6,7,4,2]=>[3,2,4,6,7,1,5]
[1,3,5,7,2,4,6]=>[7,2,4,6,1,3,5]
[1,3,5,7,2,6,4]=>[5,2,4,6,1,3,7]
[1,3,5,7,4,2,6]=>[7,2,4,6,1,5,3]
[1,3,5,7,4,6,2]=>[3,2,4,6,1,5,7]
[1,3,5,7,6,2,4]=>[5,2,4,6,1,7,3]
[1,3,5,7,6,4,2]=>[3,2,4,6,1,7,5]
[1,3,6,2,4,5,7]=>[1,2,4,7,3,5,6]
[1,3,6,2,4,7,5]=>[6,2,4,7,3,5,1]
[1,3,6,2,5,4,7]=>[1,2,4,7,3,6,5]
[1,3,6,2,5,7,4]=>[5,2,4,7,3,6,1]
[1,3,6,2,7,4,5]=>[6,2,4,7,3,1,5]
[1,3,6,2,7,5,4]=>[5,2,4,7,3,1,6]
[1,3,6,4,2,5,7]=>[1,2,4,7,5,3,6]
[1,3,6,4,2,7,5]=>[6,2,4,7,5,3,1]
[1,3,6,4,5,2,7]=>[1,2,4,7,5,6,3]
[1,3,6,4,5,7,2]=>[3,2,4,7,5,6,1]
[1,3,6,4,7,2,5]=>[6,2,4,7,5,1,3]
[1,3,6,4,7,5,2]=>[3,2,4,7,5,1,6]
[1,3,6,5,2,4,7]=>[1,2,4,7,6,3,5]
[1,3,6,5,2,7,4]=>[5,2,4,7,6,3,1]
[1,3,6,5,4,2,7]=>[1,2,4,7,6,5,3]
[1,3,6,5,4,7,2]=>[3,2,4,7,6,5,1]
[1,3,6,5,7,2,4]=>[5,2,4,7,6,1,3]
[1,3,6,5,7,4,2]=>[3,2,4,7,6,1,5]
[1,3,6,7,2,4,5]=>[6,2,4,7,1,3,5]
[1,3,6,7,2,5,4]=>[5,2,4,7,1,3,6]
[1,3,6,7,4,2,5]=>[6,2,4,7,1,5,3]
[1,3,6,7,4,5,2]=>[3,2,4,7,1,5,6]
[1,3,6,7,5,2,4]=>[5,2,4,7,1,6,3]
[1,3,6,7,5,4,2]=>[3,2,4,7,1,6,5]
[1,3,7,2,4,5,6]=>[7,2,4,1,3,5,6]
[1,3,7,2,4,6,5]=>[6,2,4,1,3,5,7]
[1,3,7,2,5,4,6]=>[7,2,4,1,3,6,5]
[1,3,7,2,5,6,4]=>[5,2,4,1,3,6,7]
[1,3,7,2,6,4,5]=>[6,2,4,1,3,7,5]
[1,3,7,2,6,5,4]=>[5,2,4,1,3,7,6]
[1,3,7,4,2,5,6]=>[7,2,4,1,5,3,6]
[1,3,7,4,2,6,5]=>[6,2,4,1,5,3,7]
[1,3,7,4,5,2,6]=>[7,2,4,1,5,6,3]
[1,3,7,4,5,6,2]=>[3,2,4,1,5,6,7]
[1,3,7,4,6,2,5]=>[6,2,4,1,5,7,3]
[1,3,7,4,6,5,2]=>[3,2,4,1,5,7,6]
[1,3,7,5,2,4,6]=>[7,2,4,1,6,3,5]
[1,3,7,5,2,6,4]=>[5,2,4,1,6,3,7]
[1,3,7,5,4,2,6]=>[7,2,4,1,6,5,3]
[1,3,7,5,4,6,2]=>[3,2,4,1,6,5,7]
[1,3,7,5,6,2,4]=>[5,2,4,1,6,7,3]
[1,3,7,5,6,4,2]=>[3,2,4,1,6,7,5]
[1,3,7,6,2,4,5]=>[6,2,4,1,7,3,5]
[1,3,7,6,2,5,4]=>[5,2,4,1,7,3,6]
[1,3,7,6,4,2,5]=>[6,2,4,1,7,5,3]
[1,3,7,6,4,5,2]=>[3,2,4,1,7,5,6]
[1,3,7,6,5,2,4]=>[5,2,4,1,7,6,3]
[1,3,7,6,5,4,2]=>[3,2,4,1,7,6,5]
[1,4,2,3,5,6,7]=>[1,2,5,3,4,6,7]
[1,4,2,3,5,7,6]=>[7,2,5,3,4,6,1]
[1,4,2,3,6,5,7]=>[1,2,5,3,4,7,6]
[1,4,2,3,6,7,5]=>[6,2,5,3,4,7,1]
[1,4,2,3,7,5,6]=>[7,2,5,3,4,1,6]
[1,4,2,3,7,6,5]=>[6,2,5,3,4,1,7]
[1,4,2,5,3,6,7]=>[1,2,5,3,6,4,7]
[1,4,2,5,3,7,6]=>[7,2,5,3,6,4,1]
[1,4,2,5,6,3,7]=>[1,2,5,3,6,7,4]
[1,4,2,5,6,7,3]=>[4,2,5,3,6,7,1]
[1,4,2,5,7,3,6]=>[7,2,5,3,6,1,4]
[1,4,2,5,7,6,3]=>[4,2,5,3,6,1,7]
[1,4,2,6,3,5,7]=>[1,2,5,3,7,4,6]
[1,4,2,6,3,7,5]=>[6,2,5,3,7,4,1]
[1,4,2,6,5,3,7]=>[1,2,5,3,7,6,4]
[1,4,2,6,5,7,3]=>[4,2,5,3,7,6,1]
[1,4,2,6,7,3,5]=>[6,2,5,3,7,1,4]
[1,4,2,6,7,5,3]=>[4,2,5,3,7,1,6]
[1,4,2,7,3,5,6]=>[7,2,5,3,1,4,6]
[1,4,2,7,3,6,5]=>[6,2,5,3,1,4,7]
[1,4,2,7,5,3,6]=>[7,2,5,3,1,6,4]
[1,4,2,7,5,6,3]=>[4,2,5,3,1,6,7]
[1,4,2,7,6,3,5]=>[6,2,5,3,1,7,4]
[1,4,2,7,6,5,3]=>[4,2,5,3,1,7,6]
[1,4,3,2,5,6,7]=>[1,2,5,4,3,6,7]
[1,4,3,2,5,7,6]=>[7,2,5,4,3,6,1]
[1,4,3,2,6,5,7]=>[1,2,5,4,3,7,6]
[1,4,3,2,6,7,5]=>[6,2,5,4,3,7,1]
[1,4,3,2,7,5,6]=>[7,2,5,4,3,1,6]
[1,4,3,2,7,6,5]=>[6,2,5,4,3,1,7]
[1,4,3,5,2,6,7]=>[1,2,5,4,6,3,7]
[1,4,3,5,2,7,6]=>[7,2,5,4,6,3,1]
[1,4,3,5,6,2,7]=>[1,2,5,4,6,7,3]
[1,4,3,5,6,7,2]=>[3,2,5,4,6,7,1]
[1,4,3,5,7,2,6]=>[7,2,5,4,6,1,3]
[1,4,3,5,7,6,2]=>[3,2,5,4,6,1,7]
[1,4,3,6,2,5,7]=>[1,2,5,4,7,3,6]
[1,4,3,6,2,7,5]=>[6,2,5,4,7,3,1]
[1,4,3,6,5,2,7]=>[1,2,5,4,7,6,3]
[1,4,3,6,5,7,2]=>[3,2,5,4,7,6,1]
[1,4,3,6,7,2,5]=>[6,2,5,4,7,1,3]
[1,4,3,6,7,5,2]=>[3,2,5,4,7,1,6]
[1,4,3,7,2,5,6]=>[7,2,5,4,1,3,6]
[1,4,3,7,2,6,5]=>[6,2,5,4,1,3,7]
[1,4,3,7,5,2,6]=>[7,2,5,4,1,6,3]
[1,4,3,7,5,6,2]=>[3,2,5,4,1,6,7]
[1,4,3,7,6,2,5]=>[6,2,5,4,1,7,3]
[1,4,3,7,6,5,2]=>[3,2,5,4,1,7,6]
[1,4,5,2,3,6,7]=>[1,2,5,6,3,4,7]
[1,4,5,2,3,7,6]=>[7,2,5,6,3,4,1]
[1,4,5,2,6,3,7]=>[1,2,5,6,3,7,4]
[1,4,5,2,6,7,3]=>[4,2,5,6,3,7,1]
[1,4,5,2,7,3,6]=>[7,2,5,6,3,1,4]
[1,4,5,2,7,6,3]=>[4,2,5,6,3,1,7]
[1,4,5,3,2,6,7]=>[1,2,5,6,4,3,7]
[1,4,5,3,2,7,6]=>[7,2,5,6,4,3,1]
[1,4,5,3,6,2,7]=>[1,2,5,6,4,7,3]
[1,4,5,3,6,7,2]=>[3,2,5,6,4,7,1]
[1,4,5,3,7,2,6]=>[7,2,5,6,4,1,3]
[1,4,5,3,7,6,2]=>[3,2,5,6,4,1,7]
[1,4,5,6,2,3,7]=>[1,2,5,6,7,3,4]
[1,4,5,6,2,7,3]=>[4,2,5,6,7,3,1]
[1,4,5,6,3,2,7]=>[1,2,5,6,7,4,3]
[1,4,5,6,3,7,2]=>[3,2,5,6,7,4,1]
[1,4,5,6,7,2,3]=>[4,2,5,6,7,1,3]
[1,4,5,6,7,3,2]=>[3,2,5,6,7,1,4]
[1,4,5,7,2,3,6]=>[7,2,5,6,1,3,4]
[1,4,5,7,2,6,3]=>[4,2,5,6,1,3,7]
[1,4,5,7,3,2,6]=>[7,2,5,6,1,4,3]
[1,4,5,7,3,6,2]=>[3,2,5,6,1,4,7]
[1,4,5,7,6,2,3]=>[4,2,5,6,1,7,3]
[1,4,5,7,6,3,2]=>[3,2,5,6,1,7,4]
[1,4,6,2,3,5,7]=>[1,2,5,7,3,4,6]
[1,4,6,2,3,7,5]=>[6,2,5,7,3,4,1]
[1,4,6,2,5,3,7]=>[1,2,5,7,3,6,4]
[1,4,6,2,5,7,3]=>[4,2,5,7,3,6,1]
[1,4,6,2,7,3,5]=>[6,2,5,7,3,1,4]
[1,4,6,2,7,5,3]=>[4,2,5,7,3,1,6]
[1,4,6,3,2,5,7]=>[1,2,5,7,4,3,6]
[1,4,6,3,2,7,5]=>[6,2,5,7,4,3,1]
[1,4,6,3,5,2,7]=>[1,2,5,7,4,6,3]
[1,4,6,3,5,7,2]=>[3,2,5,7,4,6,1]
[1,4,6,3,7,2,5]=>[6,2,5,7,4,1,3]
[1,4,6,3,7,5,2]=>[3,2,5,7,4,1,6]
[1,4,6,5,2,3,7]=>[1,2,5,7,6,3,4]
[1,4,6,5,2,7,3]=>[4,2,5,7,6,3,1]
[1,4,6,5,3,2,7]=>[1,2,5,7,6,4,3]
[1,4,6,5,3,7,2]=>[3,2,5,7,6,4,1]
[1,4,6,5,7,2,3]=>[4,2,5,7,6,1,3]
[1,4,6,5,7,3,2]=>[3,2,5,7,6,1,4]
[1,4,6,7,2,3,5]=>[6,2,5,7,1,3,4]
[1,4,6,7,2,5,3]=>[4,2,5,7,1,3,6]
[1,4,6,7,3,2,5]=>[6,2,5,7,1,4,3]
[1,4,6,7,3,5,2]=>[3,2,5,7,1,4,6]
[1,4,6,7,5,2,3]=>[4,2,5,7,1,6,3]
[1,4,6,7,5,3,2]=>[3,2,5,7,1,6,4]
[1,4,7,2,3,5,6]=>[7,2,5,1,3,4,6]
[1,4,7,2,3,6,5]=>[6,2,5,1,3,4,7]
[1,4,7,2,5,3,6]=>[7,2,5,1,3,6,4]
[1,4,7,2,5,6,3]=>[4,2,5,1,3,6,7]
[1,4,7,2,6,3,5]=>[6,2,5,1,3,7,4]
[1,4,7,2,6,5,3]=>[4,2,5,1,3,7,6]
[1,4,7,3,2,5,6]=>[7,2,5,1,4,3,6]
[1,4,7,3,2,6,5]=>[6,2,5,1,4,3,7]
[1,4,7,3,5,2,6]=>[7,2,5,1,4,6,3]
[1,4,7,3,5,6,2]=>[3,2,5,1,4,6,7]
[1,4,7,3,6,2,5]=>[6,2,5,1,4,7,3]
[1,4,7,3,6,5,2]=>[3,2,5,1,4,7,6]
[1,4,7,5,2,3,6]=>[7,2,5,1,6,3,4]
[1,4,7,5,2,6,3]=>[4,2,5,1,6,3,7]
[1,4,7,5,3,2,6]=>[7,2,5,1,6,4,3]
[1,4,7,5,3,6,2]=>[3,2,5,1,6,4,7]
[1,4,7,5,6,2,3]=>[4,2,5,1,6,7,3]
[1,4,7,5,6,3,2]=>[3,2,5,1,6,7,4]
[1,4,7,6,2,3,5]=>[6,2,5,1,7,3,4]
[1,4,7,6,2,5,3]=>[4,2,5,1,7,3,6]
[1,4,7,6,3,2,5]=>[6,2,5,1,7,4,3]
[1,4,7,6,3,5,2]=>[3,2,5,1,7,4,6]
[1,4,7,6,5,2,3]=>[4,2,5,1,7,6,3]
[1,4,7,6,5,3,2]=>[3,2,5,1,7,6,4]
[1,5,2,3,4,6,7]=>[1,2,6,3,4,5,7]
[1,5,2,3,4,7,6]=>[7,2,6,3,4,5,1]
[1,5,2,3,6,4,7]=>[1,2,6,3,4,7,5]
[1,5,2,3,6,7,4]=>[5,2,6,3,4,7,1]
[1,5,2,3,7,4,6]=>[7,2,6,3,4,1,5]
[1,5,2,3,7,6,4]=>[5,2,6,3,4,1,7]
[1,5,2,4,3,6,7]=>[1,2,6,3,5,4,7]
[1,5,2,4,3,7,6]=>[7,2,6,3,5,4,1]
[1,5,2,4,6,3,7]=>[1,2,6,3,5,7,4]
[1,5,2,4,6,7,3]=>[4,2,6,3,5,7,1]
[1,5,2,4,7,3,6]=>[7,2,6,3,5,1,4]
[1,5,2,4,7,6,3]=>[4,2,6,3,5,1,7]
[1,5,2,6,3,4,7]=>[1,2,6,3,7,4,5]
[1,5,2,6,3,7,4]=>[5,2,6,3,7,4,1]
[1,5,2,6,4,3,7]=>[1,2,6,3,7,5,4]
[1,5,2,6,4,7,3]=>[4,2,6,3,7,5,1]
[1,5,2,6,7,3,4]=>[5,2,6,3,7,1,4]
[1,5,2,6,7,4,3]=>[4,2,6,3,7,1,5]
[1,5,2,7,3,4,6]=>[7,2,6,3,1,4,5]
[1,5,2,7,3,6,4]=>[5,2,6,3,1,4,7]
[1,5,2,7,4,3,6]=>[7,2,6,3,1,5,4]
[1,5,2,7,4,6,3]=>[4,2,6,3,1,5,7]
[1,5,2,7,6,3,4]=>[5,2,6,3,1,7,4]
[1,5,2,7,6,4,3]=>[4,2,6,3,1,7,5]
[1,5,3,2,4,6,7]=>[1,2,6,4,3,5,7]
[1,5,3,2,4,7,6]=>[7,2,6,4,3,5,1]
[1,5,3,2,6,4,7]=>[1,2,6,4,3,7,5]
[1,5,3,2,6,7,4]=>[5,2,6,4,3,7,1]
[1,5,3,2,7,4,6]=>[7,2,6,4,3,1,5]
[1,5,3,2,7,6,4]=>[5,2,6,4,3,1,7]
[1,5,3,4,2,6,7]=>[1,2,6,4,5,3,7]
[1,5,3,4,2,7,6]=>[7,2,6,4,5,3,1]
[1,5,3,4,6,2,7]=>[1,2,6,4,5,7,3]
[1,5,3,4,6,7,2]=>[3,2,6,4,5,7,1]
[1,5,3,4,7,2,6]=>[7,2,6,4,5,1,3]
[1,5,3,4,7,6,2]=>[3,2,6,4,5,1,7]
[1,5,3,6,2,4,7]=>[1,2,6,4,7,3,5]
[1,5,3,6,2,7,4]=>[5,2,6,4,7,3,1]
[1,5,3,6,4,2,7]=>[1,2,6,4,7,5,3]
[1,5,3,6,4,7,2]=>[3,2,6,4,7,5,1]
[1,5,3,6,7,2,4]=>[5,2,6,4,7,1,3]
[1,5,3,6,7,4,2]=>[3,2,6,4,7,1,5]
[1,5,3,7,2,4,6]=>[7,2,6,4,1,3,5]
[1,5,3,7,2,6,4]=>[5,2,6,4,1,3,7]
[1,5,3,7,4,2,6]=>[7,2,6,4,1,5,3]
[1,5,3,7,4,6,2]=>[3,2,6,4,1,5,7]
[1,5,3,7,6,2,4]=>[5,2,6,4,1,7,3]
[1,5,3,7,6,4,2]=>[3,2,6,4,1,7,5]
[1,5,4,2,3,6,7]=>[1,2,6,5,3,4,7]
[1,5,4,2,3,7,6]=>[7,2,6,5,3,4,1]
[1,5,4,2,6,3,7]=>[1,2,6,5,3,7,4]
[1,5,4,2,6,7,3]=>[4,2,6,5,3,7,1]
[1,5,4,2,7,3,6]=>[7,2,6,5,3,1,4]
[1,5,4,2,7,6,3]=>[4,2,6,5,3,1,7]
[1,5,4,3,2,6,7]=>[1,2,6,5,4,3,7]
[1,5,4,3,2,7,6]=>[7,2,6,5,4,3,1]
[1,5,4,3,6,2,7]=>[1,2,6,5,4,7,3]
[1,5,4,3,6,7,2]=>[3,2,6,5,4,7,1]
[1,5,4,3,7,2,6]=>[7,2,6,5,4,1,3]
[1,5,4,3,7,6,2]=>[3,2,6,5,4,1,7]
[1,5,4,6,2,3,7]=>[1,2,6,5,7,3,4]
[1,5,4,6,2,7,3]=>[4,2,6,5,7,3,1]
[1,5,4,6,3,2,7]=>[1,2,6,5,7,4,3]
[1,5,4,6,3,7,2]=>[3,2,6,5,7,4,1]
[1,5,4,6,7,2,3]=>[4,2,6,5,7,1,3]
[1,5,4,6,7,3,2]=>[3,2,6,5,7,1,4]
[1,5,4,7,2,3,6]=>[7,2,6,5,1,3,4]
[1,5,4,7,2,6,3]=>[4,2,6,5,1,3,7]
[1,5,4,7,3,2,6]=>[7,2,6,5,1,4,3]
[1,5,4,7,3,6,2]=>[3,2,6,5,1,4,7]
[1,5,4,7,6,2,3]=>[4,2,6,5,1,7,3]
[1,5,4,7,6,3,2]=>[3,2,6,5,1,7,4]
[1,5,6,2,3,4,7]=>[1,2,6,7,3,4,5]
[1,5,6,2,3,7,4]=>[5,2,6,7,3,4,1]
[1,5,6,2,4,3,7]=>[1,2,6,7,3,5,4]
[1,5,6,2,4,7,3]=>[4,2,6,7,3,5,1]
[1,5,6,2,7,3,4]=>[5,2,6,7,3,1,4]
[1,5,6,2,7,4,3]=>[4,2,6,7,3,1,5]
[1,5,6,3,2,4,7]=>[1,2,6,7,4,3,5]
[1,5,6,3,2,7,4]=>[5,2,6,7,4,3,1]
[1,5,6,3,4,2,7]=>[1,2,6,7,4,5,3]
[1,5,6,3,4,7,2]=>[3,2,6,7,4,5,1]
[1,5,6,3,7,2,4]=>[5,2,6,7,4,1,3]
[1,5,6,3,7,4,2]=>[3,2,6,7,4,1,5]
[1,5,6,4,2,3,7]=>[1,2,6,7,5,3,4]
[1,5,6,4,2,7,3]=>[4,2,6,7,5,3,1]
[1,5,6,4,3,2,7]=>[1,2,6,7,5,4,3]
[1,5,6,4,3,7,2]=>[3,2,6,7,5,4,1]
[1,5,6,4,7,2,3]=>[4,2,6,7,5,1,3]
[1,5,6,4,7,3,2]=>[3,2,6,7,5,1,4]
[1,5,6,7,2,3,4]=>[5,2,6,7,1,3,4]
[1,5,6,7,2,4,3]=>[4,2,6,7,1,3,5]
[1,5,6,7,3,2,4]=>[5,2,6,7,1,4,3]
[1,5,6,7,3,4,2]=>[3,2,6,7,1,4,5]
[1,5,6,7,4,2,3]=>[4,2,6,7,1,5,3]
[1,5,6,7,4,3,2]=>[3,2,6,7,1,5,4]
[1,5,7,2,3,4,6]=>[7,2,6,1,3,4,5]
[1,5,7,2,3,6,4]=>[5,2,6,1,3,4,7]
[1,5,7,2,4,3,6]=>[7,2,6,1,3,5,4]
[1,5,7,2,4,6,3]=>[4,2,6,1,3,5,7]
[1,5,7,2,6,3,4]=>[5,2,6,1,3,7,4]
[1,5,7,2,6,4,3]=>[4,2,6,1,3,7,5]
[1,5,7,3,2,4,6]=>[7,2,6,1,4,3,5]
[1,5,7,3,2,6,4]=>[5,2,6,1,4,3,7]
[1,5,7,3,4,2,6]=>[7,2,6,1,4,5,3]
[1,5,7,3,4,6,2]=>[3,2,6,1,4,5,7]
[1,5,7,3,6,2,4]=>[5,2,6,1,4,7,3]
[1,5,7,3,6,4,2]=>[3,2,6,1,4,7,5]
[1,5,7,4,2,3,6]=>[7,2,6,1,5,3,4]
[1,5,7,4,2,6,3]=>[4,2,6,1,5,3,7]
[1,5,7,4,3,2,6]=>[7,2,6,1,5,4,3]
[1,5,7,4,3,6,2]=>[3,2,6,1,5,4,7]
[1,5,7,4,6,2,3]=>[4,2,6,1,5,7,3]
[1,5,7,4,6,3,2]=>[3,2,6,1,5,7,4]
[1,5,7,6,2,3,4]=>[5,2,6,1,7,3,4]
[1,5,7,6,2,4,3]=>[4,2,6,1,7,3,5]
[1,5,7,6,3,2,4]=>[5,2,6,1,7,4,3]
[1,5,7,6,3,4,2]=>[3,2,6,1,7,4,5]
[1,5,7,6,4,2,3]=>[4,2,6,1,7,5,3]
[1,5,7,6,4,3,2]=>[3,2,6,1,7,5,4]
[1,6,2,3,4,5,7]=>[1,2,7,3,4,5,6]
[1,6,2,3,4,7,5]=>[6,2,7,3,4,5,1]
[1,6,2,3,5,4,7]=>[1,2,7,3,4,6,5]
[1,6,2,3,5,7,4]=>[5,2,7,3,4,6,1]
[1,6,2,3,7,4,5]=>[6,2,7,3,4,1,5]
[1,6,2,3,7,5,4]=>[5,2,7,3,4,1,6]
[1,6,2,4,3,5,7]=>[1,2,7,3,5,4,6]
[1,6,2,4,3,7,5]=>[6,2,7,3,5,4,1]
[1,6,2,4,5,3,7]=>[1,2,7,3,5,6,4]
[1,6,2,4,5,7,3]=>[4,2,7,3,5,6,1]
[1,6,2,4,7,3,5]=>[6,2,7,3,5,1,4]
[1,6,2,4,7,5,3]=>[4,2,7,3,5,1,6]
[1,6,2,5,3,4,7]=>[1,2,7,3,6,4,5]
[1,6,2,5,3,7,4]=>[5,2,7,3,6,4,1]
[1,6,2,5,4,3,7]=>[1,2,7,3,6,5,4]
[1,6,2,5,4,7,3]=>[4,2,7,3,6,5,1]
[1,6,2,5,7,3,4]=>[5,2,7,3,6,1,4]
[1,6,2,5,7,4,3]=>[4,2,7,3,6,1,5]
[1,6,2,7,3,4,5]=>[6,2,7,3,1,4,5]
[1,6,2,7,3,5,4]=>[5,2,7,3,1,4,6]
[1,6,2,7,4,3,5]=>[6,2,7,3,1,5,4]
[1,6,2,7,4,5,3]=>[4,2,7,3,1,5,6]
[1,6,2,7,5,3,4]=>[5,2,7,3,1,6,4]
[1,6,2,7,5,4,3]=>[4,2,7,3,1,6,5]
[1,6,3,2,4,5,7]=>[1,2,7,4,3,5,6]
[1,6,3,2,4,7,5]=>[6,2,7,4,3,5,1]
[1,6,3,2,5,4,7]=>[1,2,7,4,3,6,5]
[1,6,3,2,5,7,4]=>[5,2,7,4,3,6,1]
[1,6,3,2,7,4,5]=>[6,2,7,4,3,1,5]
[1,6,3,2,7,5,4]=>[5,2,7,4,3,1,6]
[1,6,3,4,2,5,7]=>[1,2,7,4,5,3,6]
[1,6,3,4,2,7,5]=>[6,2,7,4,5,3,1]
[1,6,3,4,5,2,7]=>[1,2,7,4,5,6,3]
[1,6,3,4,5,7,2]=>[3,2,7,4,5,6,1]
[1,6,3,4,7,2,5]=>[6,2,7,4,5,1,3]
[1,6,3,4,7,5,2]=>[3,2,7,4,5,1,6]
[1,6,3,5,2,4,7]=>[1,2,7,4,6,3,5]
[1,6,3,5,2,7,4]=>[5,2,7,4,6,3,1]
[1,6,3,5,4,2,7]=>[1,2,7,4,6,5,3]
[1,6,3,5,4,7,2]=>[3,2,7,4,6,5,1]
[1,6,3,5,7,2,4]=>[5,2,7,4,6,1,3]
[1,6,3,5,7,4,2]=>[3,2,7,4,6,1,5]
[1,6,3,7,2,4,5]=>[6,2,7,4,1,3,5]
[1,6,3,7,2,5,4]=>[5,2,7,4,1,3,6]
[1,6,3,7,4,2,5]=>[6,2,7,4,1,5,3]
[1,6,3,7,4,5,2]=>[3,2,7,4,1,5,6]
[1,6,3,7,5,2,4]=>[5,2,7,4,1,6,3]
[1,6,3,7,5,4,2]=>[3,2,7,4,1,6,5]
[1,6,4,2,3,5,7]=>[1,2,7,5,3,4,6]
[1,6,4,2,3,7,5]=>[6,2,7,5,3,4,1]
[1,6,4,2,5,3,7]=>[1,2,7,5,3,6,4]
[1,6,4,2,5,7,3]=>[4,2,7,5,3,6,1]
[1,6,4,2,7,3,5]=>[6,2,7,5,3,1,4]
[1,6,4,2,7,5,3]=>[4,2,7,5,3,1,6]
[1,6,4,3,2,5,7]=>[1,2,7,5,4,3,6]
[1,6,4,3,2,7,5]=>[6,2,7,5,4,3,1]
[1,6,4,3,5,2,7]=>[1,2,7,5,4,6,3]
[1,6,4,3,5,7,2]=>[3,2,7,5,4,6,1]
[1,6,4,3,7,2,5]=>[6,2,7,5,4,1,3]
[1,6,4,3,7,5,2]=>[3,2,7,5,4,1,6]
[1,6,4,5,2,3,7]=>[1,2,7,5,6,3,4]
[1,6,4,5,2,7,3]=>[4,2,7,5,6,3,1]
[1,6,4,5,3,2,7]=>[1,2,7,5,6,4,3]
[1,6,4,5,3,7,2]=>[3,2,7,5,6,4,1]
[1,6,4,5,7,2,3]=>[4,2,7,5,6,1,3]
[1,6,4,5,7,3,2]=>[3,2,7,5,6,1,4]
[1,6,4,7,2,3,5]=>[6,2,7,5,1,3,4]
[1,6,4,7,2,5,3]=>[4,2,7,5,1,3,6]
[1,6,4,7,3,2,5]=>[6,2,7,5,1,4,3]
[1,6,4,7,3,5,2]=>[3,2,7,5,1,4,6]
[1,6,4,7,5,2,3]=>[4,2,7,5,1,6,3]
[1,6,4,7,5,3,2]=>[3,2,7,5,1,6,4]
[1,6,5,2,3,4,7]=>[1,2,7,6,3,4,5]
[1,6,5,2,3,7,4]=>[5,2,7,6,3,4,1]
[1,6,5,2,4,3,7]=>[1,2,7,6,3,5,4]
[1,6,5,2,4,7,3]=>[4,2,7,6,3,5,1]
[1,6,5,2,7,3,4]=>[5,2,7,6,3,1,4]
[1,6,5,2,7,4,3]=>[4,2,7,6,3,1,5]
[1,6,5,3,2,4,7]=>[1,2,7,6,4,3,5]
[1,6,5,3,2,7,4]=>[5,2,7,6,4,3,1]
[1,6,5,3,4,2,7]=>[1,2,7,6,4,5,3]
[1,6,5,3,4,7,2]=>[3,2,7,6,4,5,1]
[1,6,5,3,7,2,4]=>[5,2,7,6,4,1,3]
[1,6,5,3,7,4,2]=>[3,2,7,6,4,1,5]
[1,6,5,4,2,3,7]=>[1,2,7,6,5,3,4]
[1,6,5,4,2,7,3]=>[4,2,7,6,5,3,1]
[1,6,5,4,3,2,7]=>[1,2,7,6,5,4,3]
[1,6,5,4,3,7,2]=>[3,2,7,6,5,4,1]
[1,6,5,4,7,2,3]=>[4,2,7,6,5,1,3]
[1,6,5,4,7,3,2]=>[3,2,7,6,5,1,4]
[1,6,5,7,2,3,4]=>[5,2,7,6,1,3,4]
[1,6,5,7,2,4,3]=>[4,2,7,6,1,3,5]
[1,6,5,7,3,2,4]=>[5,2,7,6,1,4,3]
[1,6,5,7,3,4,2]=>[3,2,7,6,1,4,5]
[1,6,5,7,4,2,3]=>[4,2,7,6,1,5,3]
[1,6,5,7,4,3,2]=>[3,2,7,6,1,5,4]
[1,6,7,2,3,4,5]=>[6,2,7,1,3,4,5]
[1,6,7,2,3,5,4]=>[5,2,7,1,3,4,6]
[1,6,7,2,4,3,5]=>[6,2,7,1,3,5,4]
[1,6,7,2,4,5,3]=>[4,2,7,1,3,5,6]
[1,6,7,2,5,3,4]=>[5,2,7,1,3,6,4]
[1,6,7,2,5,4,3]=>[4,2,7,1,3,6,5]
[1,6,7,3,2,4,5]=>[6,2,7,1,4,3,5]
[1,6,7,3,2,5,4]=>[5,2,7,1,4,3,6]
[1,6,7,3,4,2,5]=>[6,2,7,1,4,5,3]
[1,6,7,3,4,5,2]=>[3,2,7,1,4,5,6]
[1,6,7,3,5,2,4]=>[5,2,7,1,4,6,3]
[1,6,7,3,5,4,2]=>[3,2,7,1,4,6,5]
[1,6,7,4,2,3,5]=>[6,2,7,1,5,3,4]
[1,6,7,4,2,5,3]=>[4,2,7,1,5,3,6]
[1,6,7,4,3,2,5]=>[6,2,7,1,5,4,3]
[1,6,7,4,3,5,2]=>[3,2,7,1,5,4,6]
[1,6,7,4,5,2,3]=>[4,2,7,1,5,6,3]
[1,6,7,4,5,3,2]=>[3,2,7,1,5,6,4]
[1,6,7,5,2,3,4]=>[5,2,7,1,6,3,4]
[1,6,7,5,2,4,3]=>[4,2,7,1,6,3,5]
[1,6,7,5,3,2,4]=>[5,2,7,1,6,4,3]
[1,6,7,5,3,4,2]=>[3,2,7,1,6,4,5]
[1,6,7,5,4,2,3]=>[4,2,7,1,6,5,3]
[1,6,7,5,4,3,2]=>[3,2,7,1,6,5,4]
[1,7,2,3,4,5,6]=>[7,2,1,3,4,5,6]
[1,7,2,3,4,6,5]=>[6,2,1,3,4,5,7]
[1,7,2,3,5,4,6]=>[7,2,1,3,4,6,5]
[1,7,2,3,5,6,4]=>[5,2,1,3,4,6,7]
[1,7,2,3,6,4,5]=>[6,2,1,3,4,7,5]
[1,7,2,3,6,5,4]=>[5,2,1,3,4,7,6]
[1,7,2,4,3,5,6]=>[7,2,1,3,5,4,6]
[1,7,2,4,3,6,5]=>[6,2,1,3,5,4,7]
[1,7,2,4,5,3,6]=>[7,2,1,3,5,6,4]
[1,7,2,4,5,6,3]=>[4,2,1,3,5,6,7]
[1,7,2,4,6,3,5]=>[6,2,1,3,5,7,4]
[1,7,2,4,6,5,3]=>[4,2,1,3,5,7,6]
[1,7,2,5,3,4,6]=>[7,2,1,3,6,4,5]
[1,7,2,5,3,6,4]=>[5,2,1,3,6,4,7]
[1,7,2,5,4,3,6]=>[7,2,1,3,6,5,4]
[1,7,2,5,4,6,3]=>[4,2,1,3,6,5,7]
[1,7,2,5,6,3,4]=>[5,2,1,3,6,7,4]
[1,7,2,5,6,4,3]=>[4,2,1,3,6,7,5]
[1,7,2,6,3,4,5]=>[6,2,1,3,7,4,5]
[1,7,2,6,3,5,4]=>[5,2,1,3,7,4,6]
[1,7,2,6,4,3,5]=>[6,2,1,3,7,5,4]
[1,7,2,6,4,5,3]=>[4,2,1,3,7,5,6]
[1,7,2,6,5,3,4]=>[5,2,1,3,7,6,4]
[1,7,2,6,5,4,3]=>[4,2,1,3,7,6,5]
[1,7,3,2,4,5,6]=>[7,2,1,4,3,5,6]
[1,7,3,2,4,6,5]=>[6,2,1,4,3,5,7]
[1,7,3,2,5,4,6]=>[7,2,1,4,3,6,5]
[1,7,3,2,5,6,4]=>[5,2,1,4,3,6,7]
[1,7,3,2,6,4,5]=>[6,2,1,4,3,7,5]
[1,7,3,2,6,5,4]=>[5,2,1,4,3,7,6]
[1,7,3,4,2,5,6]=>[7,2,1,4,5,3,6]
[1,7,3,4,2,6,5]=>[6,2,1,4,5,3,7]
[1,7,3,4,5,2,6]=>[7,2,1,4,5,6,3]
[1,7,3,4,5,6,2]=>[3,2,1,4,5,6,7]
[1,7,3,4,6,2,5]=>[6,2,1,4,5,7,3]
[1,7,3,4,6,5,2]=>[3,2,1,4,5,7,6]
[1,7,3,5,2,4,6]=>[7,2,1,4,6,3,5]
[1,7,3,5,2,6,4]=>[5,2,1,4,6,3,7]
[1,7,3,5,4,2,6]=>[7,2,1,4,6,5,3]
[1,7,3,5,4,6,2]=>[3,2,1,4,6,5,7]
[1,7,3,5,6,2,4]=>[5,2,1,4,6,7,3]
[1,7,3,5,6,4,2]=>[3,2,1,4,6,7,5]
[1,7,3,6,2,4,5]=>[6,2,1,4,7,3,5]
[1,7,3,6,2,5,4]=>[5,2,1,4,7,3,6]
[1,7,3,6,4,2,5]=>[6,2,1,4,7,5,3]
[1,7,3,6,4,5,2]=>[3,2,1,4,7,5,6]
[1,7,3,6,5,2,4]=>[5,2,1,4,7,6,3]
[1,7,3,6,5,4,2]=>[3,2,1,4,7,6,5]
[1,7,4,2,3,5,6]=>[7,2,1,5,3,4,6]
[1,7,4,2,3,6,5]=>[6,2,1,5,3,4,7]
[1,7,4,2,5,3,6]=>[7,2,1,5,3,6,4]
[1,7,4,2,5,6,3]=>[4,2,1,5,3,6,7]
[1,7,4,2,6,3,5]=>[6,2,1,5,3,7,4]
[1,7,4,2,6,5,3]=>[4,2,1,5,3,7,6]
[1,7,4,3,2,5,6]=>[7,2,1,5,4,3,6]
[1,7,4,3,2,6,5]=>[6,2,1,5,4,3,7]
[1,7,4,3,5,2,6]=>[7,2,1,5,4,6,3]
[1,7,4,3,5,6,2]=>[3,2,1,5,4,6,7]
[1,7,4,3,6,2,5]=>[6,2,1,5,4,7,3]
[1,7,4,3,6,5,2]=>[3,2,1,5,4,7,6]
[1,7,4,5,2,3,6]=>[7,2,1,5,6,3,4]
[1,7,4,5,2,6,3]=>[4,2,1,5,6,3,7]
[1,7,4,5,3,2,6]=>[7,2,1,5,6,4,3]
[1,7,4,5,3,6,2]=>[3,2,1,5,6,4,7]
[1,7,4,5,6,2,3]=>[4,2,1,5,6,7,3]
[1,7,4,5,6,3,2]=>[3,2,1,5,6,7,4]
[1,7,4,6,2,3,5]=>[6,2,1,5,7,3,4]
[1,7,4,6,2,5,3]=>[4,2,1,5,7,3,6]
[1,7,4,6,3,2,5]=>[6,2,1,5,7,4,3]
[1,7,4,6,3,5,2]=>[3,2,1,5,7,4,6]
[1,7,4,6,5,2,3]=>[4,2,1,5,7,6,3]
[1,7,4,6,5,3,2]=>[3,2,1,5,7,6,4]
[1,7,5,2,3,4,6]=>[7,2,1,6,3,4,5]
[1,7,5,2,3,6,4]=>[5,2,1,6,3,4,7]
[1,7,5,2,4,3,6]=>[7,2,1,6,3,5,4]
[1,7,5,2,4,6,3]=>[4,2,1,6,3,5,7]
[1,7,5,2,6,3,4]=>[5,2,1,6,3,7,4]
[1,7,5,2,6,4,3]=>[4,2,1,6,3,7,5]
[1,7,5,3,2,4,6]=>[7,2,1,6,4,3,5]
[1,7,5,3,2,6,4]=>[5,2,1,6,4,3,7]
[1,7,5,3,4,2,6]=>[7,2,1,6,4,5,3]
[1,7,5,3,4,6,2]=>[3,2,1,6,4,5,7]
[1,7,5,3,6,2,4]=>[5,2,1,6,4,7,3]
[1,7,5,3,6,4,2]=>[3,2,1,6,4,7,5]
[1,7,5,4,2,3,6]=>[7,2,1,6,5,3,4]
[1,7,5,4,2,6,3]=>[4,2,1,6,5,3,7]
[1,7,5,4,3,2,6]=>[7,2,1,6,5,4,3]
[1,7,5,4,3,6,2]=>[3,2,1,6,5,4,7]
[1,7,5,4,6,2,3]=>[4,2,1,6,5,7,3]
[1,7,5,4,6,3,2]=>[3,2,1,6,5,7,4]
[1,7,5,6,2,3,4]=>[5,2,1,6,7,3,4]
[1,7,5,6,2,4,3]=>[4,2,1,6,7,3,5]
[1,7,5,6,3,2,4]=>[5,2,1,6,7,4,3]
[1,7,5,6,3,4,2]=>[3,2,1,6,7,4,5]
[1,7,5,6,4,2,3]=>[4,2,1,6,7,5,3]
[1,7,5,6,4,3,2]=>[3,2,1,6,7,5,4]
[1,7,6,2,3,4,5]=>[6,2,1,7,3,4,5]
[1,7,6,2,3,5,4]=>[5,2,1,7,3,4,6]
[1,7,6,2,4,3,5]=>[6,2,1,7,3,5,4]
[1,7,6,2,4,5,3]=>[4,2,1,7,3,5,6]
[1,7,6,2,5,3,4]=>[5,2,1,7,3,6,4]
[1,7,6,2,5,4,3]=>[4,2,1,7,3,6,5]
[1,7,6,3,2,4,5]=>[6,2,1,7,4,3,5]
[1,7,6,3,2,5,4]=>[5,2,1,7,4,3,6]
[1,7,6,3,4,2,5]=>[6,2,1,7,4,5,3]
[1,7,6,3,4,5,2]=>[3,2,1,7,4,5,6]
[1,7,6,3,5,2,4]=>[5,2,1,7,4,6,3]
[1,7,6,3,5,4,2]=>[3,2,1,7,4,6,5]
[1,7,6,4,2,3,5]=>[6,2,1,7,5,3,4]
[1,7,6,4,2,5,3]=>[4,2,1,7,5,3,6]
[1,7,6,4,3,2,5]=>[6,2,1,7,5,4,3]
[1,7,6,4,3,5,2]=>[3,2,1,7,5,4,6]
[1,7,6,4,5,2,3]=>[4,2,1,7,5,6,3]
[1,7,6,4,5,3,2]=>[3,2,1,7,5,6,4]
[1,7,6,5,2,3,4]=>[5,2,1,7,6,3,4]
[1,7,6,5,2,4,3]=>[4,2,1,7,6,3,5]
[1,7,6,5,3,2,4]=>[5,2,1,7,6,4,3]
[1,7,6,5,3,4,2]=>[3,2,1,7,6,4,5]
[1,7,6,5,4,2,3]=>[4,2,1,7,6,5,3]
[1,7,6,5,4,3,2]=>[3,2,1,7,6,5,4]
[2,1,3,4,5,6,7]=>[1,3,2,4,5,6,7]
[2,1,3,4,5,7,6]=>[7,3,2,4,5,6,1]
[2,1,3,4,6,5,7]=>[1,3,2,4,5,7,6]
[2,1,3,4,6,7,5]=>[6,3,2,4,5,7,1]
[2,1,3,4,7,5,6]=>[7,3,2,4,5,1,6]
[2,1,3,4,7,6,5]=>[6,3,2,4,5,1,7]
[2,1,3,5,4,6,7]=>[1,3,2,4,6,5,7]
[2,1,3,5,4,7,6]=>[7,3,2,4,6,5,1]
[2,1,3,5,6,4,7]=>[1,3,2,4,6,7,5]
[2,1,3,5,6,7,4]=>[5,3,2,4,6,7,1]
[2,1,3,5,7,4,6]=>[7,3,2,4,6,1,5]
[2,1,3,5,7,6,4]=>[5,3,2,4,6,1,7]
[2,1,3,6,4,5,7]=>[1,3,2,4,7,5,6]
[2,1,3,6,4,7,5]=>[6,3,2,4,7,5,1]
[2,1,3,6,5,4,7]=>[1,3,2,4,7,6,5]
[2,1,3,6,5,7,4]=>[5,3,2,4,7,6,1]
[2,1,3,6,7,4,5]=>[6,3,2,4,7,1,5]
[2,1,3,6,7,5,4]=>[5,3,2,4,7,1,6]
[2,1,3,7,4,5,6]=>[7,3,2,4,1,5,6]
[2,1,3,7,4,6,5]=>[6,3,2,4,1,5,7]
[2,1,3,7,5,4,6]=>[7,3,2,4,1,6,5]
[2,1,3,7,5,6,4]=>[5,3,2,4,1,6,7]
[2,1,3,7,6,4,5]=>[6,3,2,4,1,7,5]
[2,1,3,7,6,5,4]=>[5,3,2,4,1,7,6]
[2,1,4,3,5,6,7]=>[1,3,2,5,4,6,7]
[2,1,4,3,5,7,6]=>[7,3,2,5,4,6,1]
[2,1,4,3,6,5,7]=>[1,3,2,5,4,7,6]
[2,1,4,3,6,7,5]=>[6,3,2,5,4,7,1]
[2,1,4,3,7,5,6]=>[7,3,2,5,4,1,6]
[2,1,4,3,7,6,5]=>[6,3,2,5,4,1,7]
[2,1,4,5,3,6,7]=>[1,3,2,5,6,4,7]
[2,1,4,5,3,7,6]=>[7,3,2,5,6,4,1]
[2,1,4,5,6,3,7]=>[1,3,2,5,6,7,4]
[2,1,4,5,6,7,3]=>[4,3,2,5,6,7,1]
[2,1,4,5,7,3,6]=>[7,3,2,5,6,1,4]
[2,1,4,5,7,6,3]=>[4,3,2,5,6,1,7]
[2,1,4,6,3,5,7]=>[1,3,2,5,7,4,6]
[2,1,4,6,3,7,5]=>[6,3,2,5,7,4,1]
[2,1,4,6,5,3,7]=>[1,3,2,5,7,6,4]
[2,1,4,6,5,7,3]=>[4,3,2,5,7,6,1]
[2,1,4,6,7,3,5]=>[6,3,2,5,7,1,4]
[2,1,4,6,7,5,3]=>[4,3,2,5,7,1,6]
[2,1,4,7,3,5,6]=>[7,3,2,5,1,4,6]
[2,1,4,7,3,6,5]=>[6,3,2,5,1,4,7]
[2,1,4,7,5,3,6]=>[7,3,2,5,1,6,4]
[2,1,4,7,5,6,3]=>[4,3,2,5,1,6,7]
[2,1,4,7,6,3,5]=>[6,3,2,5,1,7,4]
[2,1,4,7,6,5,3]=>[4,3,2,5,1,7,6]
[2,1,5,3,4,6,7]=>[1,3,2,6,4,5,7]
[2,1,5,3,4,7,6]=>[7,3,2,6,4,5,1]
[2,1,5,3,6,4,7]=>[1,3,2,6,4,7,5]
[2,1,5,3,6,7,4]=>[5,3,2,6,4,7,1]
[2,1,5,3,7,4,6]=>[7,3,2,6,4,1,5]
[2,1,5,3,7,6,4]=>[5,3,2,6,4,1,7]
[2,1,5,4,3,6,7]=>[1,3,2,6,5,4,7]
[2,1,5,4,3,7,6]=>[7,3,2,6,5,4,1]
[2,1,5,4,6,3,7]=>[1,3,2,6,5,7,4]
[2,1,5,4,6,7,3]=>[4,3,2,6,5,7,1]
[2,1,5,4,7,3,6]=>[7,3,2,6,5,1,4]
[2,1,5,4,7,6,3]=>[4,3,2,6,5,1,7]
[2,1,5,6,3,4,7]=>[1,3,2,6,7,4,5]
[2,1,5,6,3,7,4]=>[5,3,2,6,7,4,1]
[2,1,5,6,4,3,7]=>[1,3,2,6,7,5,4]
[2,1,5,6,4,7,3]=>[4,3,2,6,7,5,1]
[2,1,5,6,7,3,4]=>[5,3,2,6,7,1,4]
[2,1,5,6,7,4,3]=>[4,3,2,6,7,1,5]
[2,1,5,7,3,4,6]=>[7,3,2,6,1,4,5]
[2,1,5,7,3,6,4]=>[5,3,2,6,1,4,7]
[2,1,5,7,4,3,6]=>[7,3,2,6,1,5,4]
[2,1,5,7,4,6,3]=>[4,3,2,6,1,5,7]
[2,1,5,7,6,3,4]=>[5,3,2,6,1,7,4]
[2,1,5,7,6,4,3]=>[4,3,2,6,1,7,5]
[2,1,6,3,4,5,7]=>[1,3,2,7,4,5,6]
[2,1,6,3,4,7,5]=>[6,3,2,7,4,5,1]
[2,1,6,3,5,4,7]=>[1,3,2,7,4,6,5]
[2,1,6,3,5,7,4]=>[5,3,2,7,4,6,1]
[2,1,6,3,7,4,5]=>[6,3,2,7,4,1,5]
[2,1,6,3,7,5,4]=>[5,3,2,7,4,1,6]
[2,1,6,4,3,5,7]=>[1,3,2,7,5,4,6]
[2,1,6,4,3,7,5]=>[6,3,2,7,5,4,1]
[2,1,6,4,5,3,7]=>[1,3,2,7,5,6,4]
[2,1,6,4,5,7,3]=>[4,3,2,7,5,6,1]
[2,1,6,4,7,3,5]=>[6,3,2,7,5,1,4]
[2,1,6,4,7,5,3]=>[4,3,2,7,5,1,6]
[2,1,6,5,3,4,7]=>[1,3,2,7,6,4,5]
[2,1,6,5,3,7,4]=>[5,3,2,7,6,4,1]
[2,1,6,5,4,3,7]=>[1,3,2,7,6,5,4]
[2,1,6,5,4,7,3]=>[4,3,2,7,6,5,1]
[2,1,6,5,7,3,4]=>[5,3,2,7,6,1,4]
[2,1,6,5,7,4,3]=>[4,3,2,7,6,1,5]
[2,1,6,7,3,4,5]=>[6,3,2,7,1,4,5]
[2,1,6,7,3,5,4]=>[5,3,2,7,1,4,6]
[2,1,6,7,4,3,5]=>[6,3,2,7,1,5,4]
[2,1,6,7,4,5,3]=>[4,3,2,7,1,5,6]
[2,1,6,7,5,3,4]=>[5,3,2,7,1,6,4]
[2,1,6,7,5,4,3]=>[4,3,2,7,1,6,5]
[2,1,7,3,4,5,6]=>[7,3,2,1,4,5,6]
[2,1,7,3,4,6,5]=>[6,3,2,1,4,5,7]
[2,1,7,3,5,4,6]=>[7,3,2,1,4,6,5]
[2,1,7,3,5,6,4]=>[5,3,2,1,4,6,7]
[2,1,7,3,6,4,5]=>[6,3,2,1,4,7,5]
[2,1,7,3,6,5,4]=>[5,3,2,1,4,7,6]
[2,1,7,4,3,5,6]=>[7,3,2,1,5,4,6]
[2,1,7,4,3,6,5]=>[6,3,2,1,5,4,7]
[2,1,7,4,5,3,6]=>[7,3,2,1,5,6,4]
[2,1,7,4,5,6,3]=>[4,3,2,1,5,6,7]
[2,1,7,4,6,3,5]=>[6,3,2,1,5,7,4]
[2,1,7,4,6,5,3]=>[4,3,2,1,5,7,6]
[2,1,7,5,3,4,6]=>[7,3,2,1,6,4,5]
[2,1,7,5,3,6,4]=>[5,3,2,1,6,4,7]
[2,1,7,5,4,3,6]=>[7,3,2,1,6,5,4]
[2,1,7,5,4,6,3]=>[4,3,2,1,6,5,7]
[2,1,7,5,6,3,4]=>[5,3,2,1,6,7,4]
[2,1,7,5,6,4,3]=>[4,3,2,1,6,7,5]
[2,1,7,6,3,4,5]=>[6,3,2,1,7,4,5]
[2,1,7,6,3,5,4]=>[5,3,2,1,7,4,6]
[2,1,7,6,4,3,5]=>[6,3,2,1,7,5,4]
[2,1,7,6,4,5,3]=>[4,3,2,1,7,5,6]
[2,1,7,6,5,3,4]=>[5,3,2,1,7,6,4]
[2,1,7,6,5,4,3]=>[4,3,2,1,7,6,5]
[2,3,1,4,5,6,7]=>[1,3,4,2,5,6,7]
[2,3,1,4,5,7,6]=>[7,3,4,2,5,6,1]
[2,3,1,4,6,5,7]=>[1,3,4,2,5,7,6]
[2,3,1,4,6,7,5]=>[6,3,4,2,5,7,1]
[2,3,1,4,7,5,6]=>[7,3,4,2,5,1,6]
[2,3,1,4,7,6,5]=>[6,3,4,2,5,1,7]
[2,3,1,5,4,6,7]=>[1,3,4,2,6,5,7]
[2,3,1,5,4,7,6]=>[7,3,4,2,6,5,1]
[2,3,1,5,6,4,7]=>[1,3,4,2,6,7,5]
[2,3,1,5,6,7,4]=>[5,3,4,2,6,7,1]
[2,3,1,5,7,4,6]=>[7,3,4,2,6,1,5]
[2,3,1,5,7,6,4]=>[5,3,4,2,6,1,7]
[2,3,1,6,4,5,7]=>[1,3,4,2,7,5,6]
[2,3,1,6,4,7,5]=>[6,3,4,2,7,5,1]
[2,3,1,6,5,4,7]=>[1,3,4,2,7,6,5]
[2,3,1,6,5,7,4]=>[5,3,4,2,7,6,1]
[2,3,1,6,7,4,5]=>[6,3,4,2,7,1,5]
[2,3,1,6,7,5,4]=>[5,3,4,2,7,1,6]
[2,3,1,7,4,5,6]=>[7,3,4,2,1,5,6]
[2,3,1,7,4,6,5]=>[6,3,4,2,1,5,7]
[2,3,1,7,5,4,6]=>[7,3,4,2,1,6,5]
[2,3,1,7,5,6,4]=>[5,3,4,2,1,6,7]
[2,3,1,7,6,4,5]=>[6,3,4,2,1,7,5]
[2,3,1,7,6,5,4]=>[5,3,4,2,1,7,6]
[2,3,4,1,5,6,7]=>[1,3,4,5,2,6,7]
[2,3,4,1,5,7,6]=>[7,3,4,5,2,6,1]
[2,3,4,1,6,5,7]=>[1,3,4,5,2,7,6]
[2,3,4,1,6,7,5]=>[6,3,4,5,2,7,1]
[2,3,4,1,7,5,6]=>[7,3,4,5,2,1,6]
[2,3,4,1,7,6,5]=>[6,3,4,5,2,1,7]
[2,3,4,5,1,6,7]=>[1,3,4,5,6,2,7]
[2,3,4,5,1,7,6]=>[7,3,4,5,6,2,1]
[2,3,4,5,6,1,7]=>[1,3,4,5,6,7,2]
[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]
[2,3,4,5,7,1,6]=>[7,3,4,5,6,1,2]
[2,3,4,5,7,6,1]=>[2,3,4,5,6,1,7]
[2,3,4,6,1,5,7]=>[1,3,4,5,7,2,6]
[2,3,4,6,1,7,5]=>[6,3,4,5,7,2,1]
[2,3,4,6,5,1,7]=>[1,3,4,5,7,6,2]
[2,3,4,6,5,7,1]=>[2,3,4,5,7,6,1]
[2,3,4,6,7,1,5]=>[6,3,4,5,7,1,2]
[2,3,4,6,7,5,1]=>[2,3,4,5,7,1,6]
[2,3,4,7,1,5,6]=>[7,3,4,5,1,2,6]
[2,3,4,7,1,6,5]=>[6,3,4,5,1,2,7]
[2,3,4,7,5,1,6]=>[7,3,4,5,1,6,2]
[2,3,4,7,5,6,1]=>[2,3,4,5,1,6,7]
[2,3,4,7,6,1,5]=>[6,3,4,5,1,7,2]
[2,3,4,7,6,5,1]=>[2,3,4,5,1,7,6]
[2,3,5,1,4,6,7]=>[1,3,4,6,2,5,7]
[2,3,5,1,4,7,6]=>[7,3,4,6,2,5,1]
[2,3,5,1,6,4,7]=>[1,3,4,6,2,7,5]
[2,3,5,1,6,7,4]=>[5,3,4,6,2,7,1]
[2,3,5,1,7,4,6]=>[7,3,4,6,2,1,5]
[2,3,5,1,7,6,4]=>[5,3,4,6,2,1,7]
[2,3,5,4,1,6,7]=>[1,3,4,6,5,2,7]
[2,3,5,4,1,7,6]=>[7,3,4,6,5,2,1]
[2,3,5,4,6,1,7]=>[1,3,4,6,5,7,2]
[2,3,5,4,6,7,1]=>[2,3,4,6,5,7,1]
[2,3,5,4,7,1,6]=>[7,3,4,6,5,1,2]
[2,3,5,4,7,6,1]=>[2,3,4,6,5,1,7]
[2,3,5,6,1,4,7]=>[1,3,4,6,7,2,5]
[2,3,5,6,1,7,4]=>[5,3,4,6,7,2,1]
[2,3,5,6,4,1,7]=>[1,3,4,6,7,5,2]
[2,3,5,6,4,7,1]=>[2,3,4,6,7,5,1]
[2,3,5,6,7,1,4]=>[5,3,4,6,7,1,2]
[2,3,5,6,7,4,1]=>[2,3,4,6,7,1,5]
[2,3,5,7,1,4,6]=>[7,3,4,6,1,2,5]
[2,3,5,7,1,6,4]=>[5,3,4,6,1,2,7]
[2,3,5,7,4,1,6]=>[7,3,4,6,1,5,2]
[2,3,5,7,4,6,1]=>[2,3,4,6,1,5,7]
[2,3,5,7,6,1,4]=>[5,3,4,6,1,7,2]
[2,3,5,7,6,4,1]=>[2,3,4,6,1,7,5]
[2,3,6,1,4,5,7]=>[1,3,4,7,2,5,6]
[2,3,6,1,4,7,5]=>[6,3,4,7,2,5,1]
[2,3,6,1,5,4,7]=>[1,3,4,7,2,6,5]
[2,3,6,1,5,7,4]=>[5,3,4,7,2,6,1]
[2,3,6,1,7,4,5]=>[6,3,4,7,2,1,5]
[2,3,6,1,7,5,4]=>[5,3,4,7,2,1,6]
[2,3,6,4,1,5,7]=>[1,3,4,7,5,2,6]
[2,3,6,4,1,7,5]=>[6,3,4,7,5,2,1]
[2,3,6,4,5,1,7]=>[1,3,4,7,5,6,2]
[2,3,6,4,5,7,1]=>[2,3,4,7,5,6,1]
[2,3,6,4,7,1,5]=>[6,3,4,7,5,1,2]
[2,3,6,4,7,5,1]=>[2,3,4,7,5,1,6]
[2,3,6,5,1,4,7]=>[1,3,4,7,6,2,5]
[2,3,6,5,1,7,4]=>[5,3,4,7,6,2,1]
[2,3,6,5,4,1,7]=>[1,3,4,7,6,5,2]
[2,3,6,5,4,7,1]=>[2,3,4,7,6,5,1]
[2,3,6,5,7,1,4]=>[5,3,4,7,6,1,2]
[2,3,6,5,7,4,1]=>[2,3,4,7,6,1,5]
[2,3,6,7,1,4,5]=>[6,3,4,7,1,2,5]
[2,3,6,7,1,5,4]=>[5,3,4,7,1,2,6]
[2,3,6,7,4,1,5]=>[6,3,4,7,1,5,2]
[2,3,6,7,4,5,1]=>[2,3,4,7,1,5,6]
[2,3,6,7,5,1,4]=>[5,3,4,7,1,6,2]
[2,3,6,7,5,4,1]=>[2,3,4,7,1,6,5]
[2,3,7,1,4,5,6]=>[7,3,4,1,2,5,6]
[2,3,7,1,4,6,5]=>[6,3,4,1,2,5,7]
[2,3,7,1,5,4,6]=>[7,3,4,1,2,6,5]
[2,3,7,1,5,6,4]=>[5,3,4,1,2,6,7]
[2,3,7,1,6,4,5]=>[6,3,4,1,2,7,5]
[2,3,7,1,6,5,4]=>[5,3,4,1,2,7,6]
[2,3,7,4,1,5,6]=>[7,3,4,1,5,2,6]
[2,3,7,4,1,6,5]=>[6,3,4,1,5,2,7]
[2,3,7,4,5,1,6]=>[7,3,4,1,5,6,2]
[2,3,7,4,5,6,1]=>[2,3,4,1,5,6,7]
[2,3,7,4,6,1,5]=>[6,3,4,1,5,7,2]
[2,3,7,4,6,5,1]=>[2,3,4,1,5,7,6]
[2,3,7,5,1,4,6]=>[7,3,4,1,6,2,5]
[2,3,7,5,1,6,4]=>[5,3,4,1,6,2,7]
[2,3,7,5,4,1,6]=>[7,3,4,1,6,5,2]
[2,3,7,5,4,6,1]=>[2,3,4,1,6,5,7]
[2,3,7,5,6,1,4]=>[5,3,4,1,6,7,2]
[2,3,7,5,6,4,1]=>[2,3,4,1,6,7,5]
[2,3,7,6,1,4,5]=>[6,3,4,1,7,2,5]
[2,3,7,6,1,5,4]=>[5,3,4,1,7,2,6]
[2,3,7,6,4,1,5]=>[6,3,4,1,7,5,2]
[2,3,7,6,4,5,1]=>[2,3,4,1,7,5,6]
[2,3,7,6,5,1,4]=>[5,3,4,1,7,6,2]
[2,3,7,6,5,4,1]=>[2,3,4,1,7,6,5]
[2,4,1,3,5,6,7]=>[1,3,5,2,4,6,7]
[2,4,1,3,5,7,6]=>[7,3,5,2,4,6,1]
[2,4,1,3,6,5,7]=>[1,3,5,2,4,7,6]
[2,4,1,3,6,7,5]=>[6,3,5,2,4,7,1]
[2,4,1,3,7,5,6]=>[7,3,5,2,4,1,6]
[2,4,1,3,7,6,5]=>[6,3,5,2,4,1,7]
[2,4,1,5,3,6,7]=>[1,3,5,2,6,4,7]
[2,4,1,5,3,7,6]=>[7,3,5,2,6,4,1]
[2,4,1,5,6,3,7]=>[1,3,5,2,6,7,4]
[2,4,1,5,6,7,3]=>[4,3,5,2,6,7,1]
[2,4,1,5,7,3,6]=>[7,3,5,2,6,1,4]
[2,4,1,5,7,6,3]=>[4,3,5,2,6,1,7]
[2,4,1,6,3,5,7]=>[1,3,5,2,7,4,6]
[2,4,1,6,3,7,5]=>[6,3,5,2,7,4,1]
[2,4,1,6,5,3,7]=>[1,3,5,2,7,6,4]
[2,4,1,6,5,7,3]=>[4,3,5,2,7,6,1]
[2,4,1,6,7,3,5]=>[6,3,5,2,7,1,4]
[2,4,1,6,7,5,3]=>[4,3,5,2,7,1,6]
[2,4,1,7,3,5,6]=>[7,3,5,2,1,4,6]
[2,4,1,7,3,6,5]=>[6,3,5,2,1,4,7]
[2,4,1,7,5,3,6]=>[7,3,5,2,1,6,4]
[2,4,1,7,5,6,3]=>[4,3,5,2,1,6,7]
[2,4,1,7,6,3,5]=>[6,3,5,2,1,7,4]
[2,4,1,7,6,5,3]=>[4,3,5,2,1,7,6]
[2,4,3,1,5,6,7]=>[1,3,5,4,2,6,7]
[2,4,3,1,5,7,6]=>[7,3,5,4,2,6,1]
[2,4,3,1,6,5,7]=>[1,3,5,4,2,7,6]
[2,4,3,1,6,7,5]=>[6,3,5,4,2,7,1]
[2,4,3,1,7,5,6]=>[7,3,5,4,2,1,6]
[2,4,3,1,7,6,5]=>[6,3,5,4,2,1,7]
[2,4,3,5,1,6,7]=>[1,3,5,4,6,2,7]
[2,4,3,5,1,7,6]=>[7,3,5,4,6,2,1]
[2,4,3,5,6,1,7]=>[1,3,5,4,6,7,2]
[2,4,3,5,6,7,1]=>[2,3,5,4,6,7,1]
[2,4,3,5,7,1,6]=>[7,3,5,4,6,1,2]
[2,4,3,5,7,6,1]=>[2,3,5,4,6,1,7]
[2,4,3,6,1,5,7]=>[1,3,5,4,7,2,6]
[2,4,3,6,1,7,5]=>[6,3,5,4,7,2,1]
[2,4,3,6,5,1,7]=>[1,3,5,4,7,6,2]
[2,4,3,6,5,7,1]=>[2,3,5,4,7,6,1]
[2,4,3,6,7,1,5]=>[6,3,5,4,7,1,2]
[2,4,3,6,7,5,1]=>[2,3,5,4,7,1,6]
[2,4,3,7,1,5,6]=>[7,3,5,4,1,2,6]
[2,4,3,7,1,6,5]=>[6,3,5,4,1,2,7]
[2,4,3,7,5,1,6]=>[7,3,5,4,1,6,2]
[2,4,3,7,5,6,1]=>[2,3,5,4,1,6,7]
[2,4,3,7,6,1,5]=>[6,3,5,4,1,7,2]
[2,4,3,7,6,5,1]=>[2,3,5,4,1,7,6]
[2,4,5,1,3,6,7]=>[1,3,5,6,2,4,7]
[2,4,5,1,3,7,6]=>[7,3,5,6,2,4,1]
[2,4,5,1,6,3,7]=>[1,3,5,6,2,7,4]
[2,4,5,1,6,7,3]=>[4,3,5,6,2,7,1]
[2,4,5,1,7,3,6]=>[7,3,5,6,2,1,4]
[2,4,5,1,7,6,3]=>[4,3,5,6,2,1,7]
[2,4,5,3,1,6,7]=>[1,3,5,6,4,2,7]
[2,4,5,3,1,7,6]=>[7,3,5,6,4,2,1]
[2,4,5,3,6,1,7]=>[1,3,5,6,4,7,2]
[2,4,5,3,6,7,1]=>[2,3,5,6,4,7,1]
[2,4,5,3,7,1,6]=>[7,3,5,6,4,1,2]
[2,4,5,3,7,6,1]=>[2,3,5,6,4,1,7]
[2,4,5,6,1,3,7]=>[1,3,5,6,7,2,4]
[2,4,5,6,1,7,3]=>[4,3,5,6,7,2,1]
[2,4,5,6,3,1,7]=>[1,3,5,6,7,4,2]
[2,4,5,6,3,7,1]=>[2,3,5,6,7,4,1]
[2,4,5,6,7,1,3]=>[4,3,5,6,7,1,2]
[2,4,5,6,7,3,1]=>[2,3,5,6,7,1,4]
[2,4,5,7,1,3,6]=>[7,3,5,6,1,2,4]
[2,4,5,7,1,6,3]=>[4,3,5,6,1,2,7]
[2,4,5,7,3,1,6]=>[7,3,5,6,1,4,2]
[2,4,5,7,3,6,1]=>[2,3,5,6,1,4,7]
[2,4,5,7,6,1,3]=>[4,3,5,6,1,7,2]
[2,4,5,7,6,3,1]=>[2,3,5,6,1,7,4]
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]
[2,4,6,1,3,7,5]=>[6,3,5,7,2,4,1]
[2,4,6,1,5,3,7]=>[1,3,5,7,2,6,4]
[2,4,6,1,5,7,3]=>[4,3,5,7,2,6,1]
[2,4,6,1,7,3,5]=>[6,3,5,7,2,1,4]
[2,4,6,1,7,5,3]=>[4,3,5,7,2,1,6]
[2,4,6,3,1,5,7]=>[1,3,5,7,4,2,6]
[2,4,6,3,1,7,5]=>[6,3,5,7,4,2,1]
[2,4,6,3,5,1,7]=>[1,3,5,7,4,6,2]
[2,4,6,3,5,7,1]=>[2,3,5,7,4,6,1]
[2,4,6,3,7,1,5]=>[6,3,5,7,4,1,2]
[2,4,6,3,7,5,1]=>[2,3,5,7,4,1,6]
[2,4,6,5,1,3,7]=>[1,3,5,7,6,2,4]
[2,4,6,5,1,7,3]=>[4,3,5,7,6,2,1]
[2,4,6,5,3,1,7]=>[1,3,5,7,6,4,2]
[2,4,6,5,3,7,1]=>[2,3,5,7,6,4,1]
[2,4,6,5,7,1,3]=>[4,3,5,7,6,1,2]
[2,4,6,5,7,3,1]=>[2,3,5,7,6,1,4]
[2,4,6,7,1,3,5]=>[6,3,5,7,1,2,4]
[2,4,6,7,1,5,3]=>[4,3,5,7,1,2,6]
[2,4,6,7,3,1,5]=>[6,3,5,7,1,4,2]
[2,4,6,7,3,5,1]=>[2,3,5,7,1,4,6]
[2,4,6,7,5,1,3]=>[4,3,5,7,1,6,2]
[2,4,6,7,5,3,1]=>[2,3,5,7,1,6,4]
[2,4,7,1,3,5,6]=>[7,3,5,1,2,4,6]
[2,4,7,1,3,6,5]=>[6,3,5,1,2,4,7]
[2,4,7,1,5,3,6]=>[7,3,5,1,2,6,4]
[2,4,7,1,5,6,3]=>[4,3,5,1,2,6,7]
[2,4,7,1,6,3,5]=>[6,3,5,1,2,7,4]
[2,4,7,1,6,5,3]=>[4,3,5,1,2,7,6]
[2,4,7,3,1,5,6]=>[7,3,5,1,4,2,6]
[2,4,7,3,1,6,5]=>[6,3,5,1,4,2,7]
[2,4,7,3,5,1,6]=>[7,3,5,1,4,6,2]
[2,4,7,3,5,6,1]=>[2,3,5,1,4,6,7]
[2,4,7,3,6,1,5]=>[6,3,5,1,4,7,2]
[2,4,7,3,6,5,1]=>[2,3,5,1,4,7,6]
[2,4,7,5,1,3,6]=>[7,3,5,1,6,2,4]
[2,4,7,5,1,6,3]=>[4,3,5,1,6,2,7]
[2,4,7,5,3,1,6]=>[7,3,5,1,6,4,2]
[2,4,7,5,3,6,1]=>[2,3,5,1,6,4,7]
[2,4,7,5,6,1,3]=>[4,3,5,1,6,7,2]
[2,4,7,5,6,3,1]=>[2,3,5,1,6,7,4]
[2,4,7,6,1,3,5]=>[6,3,5,1,7,2,4]
[2,4,7,6,1,5,3]=>[4,3,5,1,7,2,6]
[2,4,7,6,3,1,5]=>[6,3,5,1,7,4,2]
[2,4,7,6,3,5,1]=>[2,3,5,1,7,4,6]
[2,4,7,6,5,1,3]=>[4,3,5,1,7,6,2]
[2,4,7,6,5,3,1]=>[2,3,5,1,7,6,4]
[2,5,1,3,4,6,7]=>[1,3,6,2,4,5,7]
[2,5,1,3,4,7,6]=>[7,3,6,2,4,5,1]
[2,5,1,3,6,4,7]=>[1,3,6,2,4,7,5]
[2,5,1,3,6,7,4]=>[5,3,6,2,4,7,1]
[2,5,1,3,7,4,6]=>[7,3,6,2,4,1,5]
[2,5,1,3,7,6,4]=>[5,3,6,2,4,1,7]
[2,5,1,4,3,6,7]=>[1,3,6,2,5,4,7]
[2,5,1,4,3,7,6]=>[7,3,6,2,5,4,1]
[2,5,1,4,6,3,7]=>[1,3,6,2,5,7,4]
[2,5,1,4,6,7,3]=>[4,3,6,2,5,7,1]
[2,5,1,4,7,3,6]=>[7,3,6,2,5,1,4]
[2,5,1,4,7,6,3]=>[4,3,6,2,5,1,7]
[2,5,1,6,3,4,7]=>[1,3,6,2,7,4,5]
[2,5,1,6,3,7,4]=>[5,3,6,2,7,4,1]
[2,5,1,6,4,3,7]=>[1,3,6,2,7,5,4]
[2,5,1,6,4,7,3]=>[4,3,6,2,7,5,1]
[2,5,1,6,7,3,4]=>[5,3,6,2,7,1,4]
[2,5,1,6,7,4,3]=>[4,3,6,2,7,1,5]
[2,5,1,7,3,4,6]=>[7,3,6,2,1,4,5]
[2,5,1,7,3,6,4]=>[5,3,6,2,1,4,7]
[2,5,1,7,4,3,6]=>[7,3,6,2,1,5,4]
[2,5,1,7,4,6,3]=>[4,3,6,2,1,5,7]
[2,5,1,7,6,3,4]=>[5,3,6,2,1,7,4]
[2,5,1,7,6,4,3]=>[4,3,6,2,1,7,5]
[2,5,3,1,4,6,7]=>[1,3,6,4,2,5,7]
[2,5,3,1,4,7,6]=>[7,3,6,4,2,5,1]
[2,5,3,1,6,4,7]=>[1,3,6,4,2,7,5]
[2,5,3,1,6,7,4]=>[5,3,6,4,2,7,1]
[2,5,3,1,7,4,6]=>[7,3,6,4,2,1,5]
[2,5,3,1,7,6,4]=>[5,3,6,4,2,1,7]
[2,5,3,4,1,6,7]=>[1,3,6,4,5,2,7]
[2,5,3,4,1,7,6]=>[7,3,6,4,5,2,1]
[2,5,3,4,6,1,7]=>[1,3,6,4,5,7,2]
[2,5,3,4,6,7,1]=>[2,3,6,4,5,7,1]
[2,5,3,4,7,1,6]=>[7,3,6,4,5,1,2]
[2,5,3,4,7,6,1]=>[2,3,6,4,5,1,7]
[2,5,3,6,1,4,7]=>[1,3,6,4,7,2,5]
[2,5,3,6,1,7,4]=>[5,3,6,4,7,2,1]
[2,5,3,6,4,1,7]=>[1,3,6,4,7,5,2]
[2,5,3,6,4,7,1]=>[2,3,6,4,7,5,1]
[2,5,3,6,7,1,4]=>[5,3,6,4,7,1,2]
[2,5,3,6,7,4,1]=>[2,3,6,4,7,1,5]
[2,5,3,7,1,4,6]=>[7,3,6,4,1,2,5]
[2,5,3,7,1,6,4]=>[5,3,6,4,1,2,7]
[2,5,3,7,4,1,6]=>[7,3,6,4,1,5,2]
[2,5,3,7,4,6,1]=>[2,3,6,4,1,5,7]
[2,5,3,7,6,1,4]=>[5,3,6,4,1,7,2]
[2,5,3,7,6,4,1]=>[2,3,6,4,1,7,5]
[2,5,4,1,3,6,7]=>[1,3,6,5,2,4,7]
[2,5,4,1,3,7,6]=>[7,3,6,5,2,4,1]
[2,5,4,1,6,3,7]=>[1,3,6,5,2,7,4]
[2,5,4,1,6,7,3]=>[4,3,6,5,2,7,1]
[2,5,4,1,7,3,6]=>[7,3,6,5,2,1,4]
[2,5,4,1,7,6,3]=>[4,3,6,5,2,1,7]
[2,5,4,3,1,6,7]=>[1,3,6,5,4,2,7]
[2,5,4,3,1,7,6]=>[7,3,6,5,4,2,1]
[2,5,4,3,6,1,7]=>[1,3,6,5,4,7,2]
[2,5,4,3,6,7,1]=>[2,3,6,5,4,7,1]
[2,5,4,3,7,1,6]=>[7,3,6,5,4,1,2]
[2,5,4,3,7,6,1]=>[2,3,6,5,4,1,7]
[2,5,4,6,1,3,7]=>[1,3,6,5,7,2,4]
[2,5,4,6,1,7,3]=>[4,3,6,5,7,2,1]
[2,5,4,6,3,1,7]=>[1,3,6,5,7,4,2]
[2,5,4,6,3,7,1]=>[2,3,6,5,7,4,1]
[2,5,4,6,7,1,3]=>[4,3,6,5,7,1,2]
[2,5,4,6,7,3,1]=>[2,3,6,5,7,1,4]
[2,5,4,7,1,3,6]=>[7,3,6,5,1,2,4]
[2,5,4,7,1,6,3]=>[4,3,6,5,1,2,7]
[2,5,4,7,3,1,6]=>[7,3,6,5,1,4,2]
[2,5,4,7,3,6,1]=>[2,3,6,5,1,4,7]
[2,5,4,7,6,1,3]=>[4,3,6,5,1,7,2]
[2,5,4,7,6,3,1]=>[2,3,6,5,1,7,4]
[2,5,6,1,3,4,7]=>[1,3,6,7,2,4,5]
[2,5,6,1,3,7,4]=>[5,3,6,7,2,4,1]
[2,5,6,1,4,3,7]=>[1,3,6,7,2,5,4]
[2,5,6,1,4,7,3]=>[4,3,6,7,2,5,1]
[2,5,6,1,7,3,4]=>[5,3,6,7,2,1,4]
[2,5,6,1,7,4,3]=>[4,3,6,7,2,1,5]
[2,5,6,3,1,4,7]=>[1,3,6,7,4,2,5]
[2,5,6,3,1,7,4]=>[5,3,6,7,4,2,1]
[2,5,6,3,4,1,7]=>[1,3,6,7,4,5,2]
[2,5,6,3,4,7,1]=>[2,3,6,7,4,5,1]
[2,5,6,3,7,1,4]=>[5,3,6,7,4,1,2]
[2,5,6,3,7,4,1]=>[2,3,6,7,4,1,5]
[2,5,6,4,1,3,7]=>[1,3,6,7,5,2,4]
[2,5,6,4,1,7,3]=>[4,3,6,7,5,2,1]
[2,5,6,4,3,1,7]=>[1,3,6,7,5,4,2]
[2,5,6,4,3,7,1]=>[2,3,6,7,5,4,1]
[2,5,6,4,7,1,3]=>[4,3,6,7,5,1,2]
[2,5,6,4,7,3,1]=>[2,3,6,7,5,1,4]
[2,5,6,7,1,3,4]=>[5,3,6,7,1,2,4]
[2,5,6,7,1,4,3]=>[4,3,6,7,1,2,5]
[2,5,6,7,3,1,4]=>[5,3,6,7,1,4,2]
[2,5,6,7,3,4,1]=>[2,3,6,7,1,4,5]
[2,5,6,7,4,1,3]=>[4,3,6,7,1,5,2]
[2,5,6,7,4,3,1]=>[2,3,6,7,1,5,4]
[2,5,7,1,3,4,6]=>[7,3,6,1,2,4,5]
[2,5,7,1,3,6,4]=>[5,3,6,1,2,4,7]
[2,5,7,1,4,3,6]=>[7,3,6,1,2,5,4]
[2,5,7,1,4,6,3]=>[4,3,6,1,2,5,7]
[2,5,7,1,6,3,4]=>[5,3,6,1,2,7,4]
[2,5,7,1,6,4,3]=>[4,3,6,1,2,7,5]
[2,5,7,3,1,4,6]=>[7,3,6,1,4,2,5]
[2,5,7,3,1,6,4]=>[5,3,6,1,4,2,7]
[2,5,7,3,4,1,6]=>[7,3,6,1,4,5,2]
[2,5,7,3,4,6,1]=>[2,3,6,1,4,5,7]
[2,5,7,3,6,1,4]=>[5,3,6,1,4,7,2]
[2,5,7,3,6,4,1]=>[2,3,6,1,4,7,5]
[2,5,7,4,1,3,6]=>[7,3,6,1,5,2,4]
[2,5,7,4,1,6,3]=>[4,3,6,1,5,2,7]
[2,5,7,4,3,1,6]=>[7,3,6,1,5,4,2]
[2,5,7,4,3,6,1]=>[2,3,6,1,5,4,7]
[2,5,7,4,6,1,3]=>[4,3,6,1,5,7,2]
[2,5,7,4,6,3,1]=>[2,3,6,1,5,7,4]
[2,5,7,6,1,3,4]=>[5,3,6,1,7,2,4]
[2,5,7,6,1,4,3]=>[4,3,6,1,7,2,5]
[2,5,7,6,3,1,4]=>[5,3,6,1,7,4,2]
[2,5,7,6,3,4,1]=>[2,3,6,1,7,4,5]
[2,5,7,6,4,1,3]=>[4,3,6,1,7,5,2]
[2,5,7,6,4,3,1]=>[2,3,6,1,7,5,4]
[2,6,1,3,4,5,7]=>[1,3,7,2,4,5,6]
[2,6,1,3,4,7,5]=>[6,3,7,2,4,5,1]
[2,6,1,3,5,4,7]=>[1,3,7,2,4,6,5]
[2,6,1,3,5,7,4]=>[5,3,7,2,4,6,1]
[2,6,1,3,7,4,5]=>[6,3,7,2,4,1,5]
[2,6,1,3,7,5,4]=>[5,3,7,2,4,1,6]
[2,6,1,4,3,5,7]=>[1,3,7,2,5,4,6]
[2,6,1,4,3,7,5]=>[6,3,7,2,5,4,1]
[2,6,1,4,5,3,7]=>[1,3,7,2,5,6,4]
[2,6,1,4,5,7,3]=>[4,3,7,2,5,6,1]
[2,6,1,4,7,3,5]=>[6,3,7,2,5,1,4]
[2,6,1,4,7,5,3]=>[4,3,7,2,5,1,6]
[2,6,1,5,3,4,7]=>[1,3,7,2,6,4,5]
[2,6,1,5,3,7,4]=>[5,3,7,2,6,4,1]
[2,6,1,5,4,3,7]=>[1,3,7,2,6,5,4]
[2,6,1,5,4,7,3]=>[4,3,7,2,6,5,1]
[2,6,1,5,7,3,4]=>[5,3,7,2,6,1,4]
[2,6,1,5,7,4,3]=>[4,3,7,2,6,1,5]
[2,6,1,7,3,4,5]=>[6,3,7,2,1,4,5]
[2,6,1,7,3,5,4]=>[5,3,7,2,1,4,6]
[2,6,1,7,4,3,5]=>[6,3,7,2,1,5,4]
[2,6,1,7,4,5,3]=>[4,3,7,2,1,5,6]
[2,6,1,7,5,3,4]=>[5,3,7,2,1,6,4]
[2,6,1,7,5,4,3]=>[4,3,7,2,1,6,5]
[2,6,3,1,4,5,7]=>[1,3,7,4,2,5,6]
[2,6,3,1,4,7,5]=>[6,3,7,4,2,5,1]
[2,6,3,1,5,4,7]=>[1,3,7,4,2,6,5]
[2,6,3,1,5,7,4]=>[5,3,7,4,2,6,1]
[2,6,3,1,7,4,5]=>[6,3,7,4,2,1,5]
[2,6,3,1,7,5,4]=>[5,3,7,4,2,1,6]
[2,6,3,4,1,5,7]=>[1,3,7,4,5,2,6]
[2,6,3,4,1,7,5]=>[6,3,7,4,5,2,1]
[2,6,3,4,5,1,7]=>[1,3,7,4,5,6,2]
[2,6,3,4,5,7,1]=>[2,3,7,4,5,6,1]
[2,6,3,4,7,1,5]=>[6,3,7,4,5,1,2]
[2,6,3,4,7,5,1]=>[2,3,7,4,5,1,6]
[2,6,3,5,1,4,7]=>[1,3,7,4,6,2,5]
[2,6,3,5,1,7,4]=>[5,3,7,4,6,2,1]
[2,6,3,5,4,1,7]=>[1,3,7,4,6,5,2]
[2,6,3,5,4,7,1]=>[2,3,7,4,6,5,1]
[2,6,3,5,7,1,4]=>[5,3,7,4,6,1,2]
[2,6,3,5,7,4,1]=>[2,3,7,4,6,1,5]
[2,6,3,7,1,4,5]=>[6,3,7,4,1,2,5]
[2,6,3,7,1,5,4]=>[5,3,7,4,1,2,6]
[2,6,3,7,4,1,5]=>[6,3,7,4,1,5,2]
[2,6,3,7,4,5,1]=>[2,3,7,4,1,5,6]
[2,6,3,7,5,1,4]=>[5,3,7,4,1,6,2]
[2,6,3,7,5,4,1]=>[2,3,7,4,1,6,5]
[2,6,4,1,3,5,7]=>[1,3,7,5,2,4,6]
[2,6,4,1,3,7,5]=>[6,3,7,5,2,4,1]
[2,6,4,1,5,3,7]=>[1,3,7,5,2,6,4]
[2,6,4,1,5,7,3]=>[4,3,7,5,2,6,1]
[2,6,4,1,7,3,5]=>[6,3,7,5,2,1,4]
[2,6,4,1,7,5,3]=>[4,3,7,5,2,1,6]
[2,6,4,3,1,5,7]=>[1,3,7,5,4,2,6]
[2,6,4,3,1,7,5]=>[6,3,7,5,4,2,1]
[2,6,4,3,5,1,7]=>[1,3,7,5,4,6,2]
[2,6,4,3,5,7,1]=>[2,3,7,5,4,6,1]
[2,6,4,3,7,1,5]=>[6,3,7,5,4,1,2]
[2,6,4,3,7,5,1]=>[2,3,7,5,4,1,6]
[2,6,4,5,1,3,7]=>[1,3,7,5,6,2,4]
[2,6,4,5,1,7,3]=>[4,3,7,5,6,2,1]
[2,6,4,5,3,1,7]=>[1,3,7,5,6,4,2]
[2,6,4,5,3,7,1]=>[2,3,7,5,6,4,1]
[2,6,4,5,7,1,3]=>[4,3,7,5,6,1,2]
[2,6,4,5,7,3,1]=>[2,3,7,5,6,1,4]
[2,6,4,7,1,3,5]=>[6,3,7,5,1,2,4]
[2,6,4,7,1,5,3]=>[4,3,7,5,1,2,6]
[2,6,4,7,3,1,5]=>[6,3,7,5,1,4,2]
[2,6,4,7,3,5,1]=>[2,3,7,5,1,4,6]
[2,6,4,7,5,1,3]=>[4,3,7,5,1,6,2]
[2,6,4,7,5,3,1]=>[2,3,7,5,1,6,4]
[2,6,5,1,3,4,7]=>[1,3,7,6,2,4,5]
[2,6,5,1,3,7,4]=>[5,3,7,6,2,4,1]
[2,6,5,1,4,3,7]=>[1,3,7,6,2,5,4]
[2,6,5,1,4,7,3]=>[4,3,7,6,2,5,1]
[2,6,5,1,7,3,4]=>[5,3,7,6,2,1,4]
[2,6,5,1,7,4,3]=>[4,3,7,6,2,1,5]
[2,6,5,3,1,4,7]=>[1,3,7,6,4,2,5]
[2,6,5,3,1,7,4]=>[5,3,7,6,4,2,1]
[2,6,5,3,4,1,7]=>[1,3,7,6,4,5,2]
[2,6,5,3,4,7,1]=>[2,3,7,6,4,5,1]
[2,6,5,3,7,1,4]=>[5,3,7,6,4,1,2]
[2,6,5,3,7,4,1]=>[2,3,7,6,4,1,5]
[2,6,5,4,1,3,7]=>[1,3,7,6,5,2,4]
[2,6,5,4,1,7,3]=>[4,3,7,6,5,2,1]
[2,6,5,4,3,1,7]=>[1,3,7,6,5,4,2]
[2,6,5,4,3,7,1]=>[2,3,7,6,5,4,1]
[2,6,5,4,7,1,3]=>[4,3,7,6,5,1,2]
[2,6,5,4,7,3,1]=>[2,3,7,6,5,1,4]
[2,6,5,7,1,3,4]=>[5,3,7,6,1,2,4]
[2,6,5,7,1,4,3]=>[4,3,7,6,1,2,5]
[2,6,5,7,3,1,4]=>[5,3,7,6,1,4,2]
[2,6,5,7,3,4,1]=>[2,3,7,6,1,4,5]
[2,6,5,7,4,1,3]=>[4,3,7,6,1,5,2]
[2,6,5,7,4,3,1]=>[2,3,7,6,1,5,4]
[2,6,7,1,3,4,5]=>[6,3,7,1,2,4,5]
[2,6,7,1,3,5,4]=>[5,3,7,1,2,4,6]
[2,6,7,1,4,3,5]=>[6,3,7,1,2,5,4]
[2,6,7,1,4,5,3]=>[4,3,7,1,2,5,6]
[2,6,7,1,5,3,4]=>[5,3,7,1,2,6,4]
[2,6,7,1,5,4,3]=>[4,3,7,1,2,6,5]
[2,6,7,3,1,4,5]=>[6,3,7,1,4,2,5]
[2,6,7,3,1,5,4]=>[5,3,7,1,4,2,6]
[2,6,7,3,4,1,5]=>[6,3,7,1,4,5,2]
[2,6,7,3,4,5,1]=>[2,3,7,1,4,5,6]
[2,6,7,3,5,1,4]=>[5,3,7,1,4,6,2]
[2,6,7,3,5,4,1]=>[2,3,7,1,4,6,5]
[2,6,7,4,1,3,5]=>[6,3,7,1,5,2,4]
[2,6,7,4,1,5,3]=>[4,3,7,1,5,2,6]
[2,6,7,4,3,1,5]=>[6,3,7,1,5,4,2]
[2,6,7,4,3,5,1]=>[2,3,7,1,5,4,6]
[2,6,7,4,5,1,3]=>[4,3,7,1,5,6,2]
[2,6,7,4,5,3,1]=>[2,3,7,1,5,6,4]
[2,6,7,5,1,3,4]=>[5,3,7,1,6,2,4]
[2,6,7,5,1,4,3]=>[4,3,7,1,6,2,5]
[2,6,7,5,3,1,4]=>[5,3,7,1,6,4,2]
[2,6,7,5,3,4,1]=>[2,3,7,1,6,4,5]
[2,6,7,5,4,1,3]=>[4,3,7,1,6,5,2]
[2,6,7,5,4,3,1]=>[2,3,7,1,6,5,4]
[2,7,1,3,4,5,6]=>[7,3,1,2,4,5,6]
[2,7,1,3,4,6,5]=>[6,3,1,2,4,5,7]
[2,7,1,3,5,4,6]=>[7,3,1,2,4,6,5]
[2,7,1,3,5,6,4]=>[5,3,1,2,4,6,7]
[2,7,1,3,6,4,5]=>[6,3,1,2,4,7,5]
[2,7,1,3,6,5,4]=>[5,3,1,2,4,7,6]
[2,7,1,4,3,5,6]=>[7,3,1,2,5,4,6]
[2,7,1,4,3,6,5]=>[6,3,1,2,5,4,7]
[2,7,1,4,5,3,6]=>[7,3,1,2,5,6,4]
[2,7,1,4,5,6,3]=>[4,3,1,2,5,6,7]
[2,7,1,4,6,3,5]=>[6,3,1,2,5,7,4]
[2,7,1,4,6,5,3]=>[4,3,1,2,5,7,6]
[2,7,1,5,3,4,6]=>[7,3,1,2,6,4,5]
[2,7,1,5,3,6,4]=>[5,3,1,2,6,4,7]
[2,7,1,5,4,3,6]=>[7,3,1,2,6,5,4]
[2,7,1,5,4,6,3]=>[4,3,1,2,6,5,7]
[2,7,1,5,6,3,4]=>[5,3,1,2,6,7,4]
[2,7,1,5,6,4,3]=>[4,3,1,2,6,7,5]
[2,7,1,6,3,4,5]=>[6,3,1,2,7,4,5]
[2,7,1,6,3,5,4]=>[5,3,1,2,7,4,6]
[2,7,1,6,4,3,5]=>[6,3,1,2,7,5,4]
[2,7,1,6,4,5,3]=>[4,3,1,2,7,5,6]
[2,7,1,6,5,3,4]=>[5,3,1,2,7,6,4]
[2,7,1,6,5,4,3]=>[4,3,1,2,7,6,5]
[2,7,3,1,4,5,6]=>[7,3,1,4,2,5,6]
[2,7,3,1,4,6,5]=>[6,3,1,4,2,5,7]
[2,7,3,1,5,4,6]=>[7,3,1,4,2,6,5]
[2,7,3,1,5,6,4]=>[5,3,1,4,2,6,7]
[2,7,3,1,6,4,5]=>[6,3,1,4,2,7,5]
[2,7,3,1,6,5,4]=>[5,3,1,4,2,7,6]
[2,7,3,4,1,5,6]=>[7,3,1,4,5,2,6]
[2,7,3,4,1,6,5]=>[6,3,1,4,5,2,7]
[2,7,3,4,5,1,6]=>[7,3,1,4,5,6,2]
[2,7,3,4,5,6,1]=>[2,3,1,4,5,6,7]
[2,7,3,4,6,1,5]=>[6,3,1,4,5,7,2]
[2,7,3,4,6,5,1]=>[2,3,1,4,5,7,6]
[2,7,3,5,1,4,6]=>[7,3,1,4,6,2,5]
[2,7,3,5,1,6,4]=>[5,3,1,4,6,2,7]
[2,7,3,5,4,1,6]=>[7,3,1,4,6,5,2]
[2,7,3,5,4,6,1]=>[2,3,1,4,6,5,7]
[2,7,3,5,6,1,4]=>[5,3,1,4,6,7,2]
[2,7,3,5,6,4,1]=>[2,3,1,4,6,7,5]
[2,7,3,6,1,4,5]=>[6,3,1,4,7,2,5]
[2,7,3,6,1,5,4]=>[5,3,1,4,7,2,6]
[2,7,3,6,4,1,5]=>[6,3,1,4,7,5,2]
[2,7,3,6,4,5,1]=>[2,3,1,4,7,5,6]
[2,7,3,6,5,1,4]=>[5,3,1,4,7,6,2]
[2,7,3,6,5,4,1]=>[2,3,1,4,7,6,5]
[2,7,4,1,3,5,6]=>[7,3,1,5,2,4,6]
[2,7,4,1,3,6,5]=>[6,3,1,5,2,4,7]
[2,7,4,1,5,3,6]=>[7,3,1,5,2,6,4]
[2,7,4,1,5,6,3]=>[4,3,1,5,2,6,7]
[2,7,4,1,6,3,5]=>[6,3,1,5,2,7,4]
[2,7,4,1,6,5,3]=>[4,3,1,5,2,7,6]
[2,7,4,3,1,5,6]=>[7,3,1,5,4,2,6]
[2,7,4,3,1,6,5]=>[6,3,1,5,4,2,7]
[2,7,4,3,5,1,6]=>[7,3,1,5,4,6,2]
[2,7,4,3,5,6,1]=>[2,3,1,5,4,6,7]
[2,7,4,3,6,1,5]=>[6,3,1,5,4,7,2]
[2,7,4,3,6,5,1]=>[2,3,1,5,4,7,6]
[2,7,4,5,1,3,6]=>[7,3,1,5,6,2,4]
[2,7,4,5,1,6,3]=>[4,3,1,5,6,2,7]
[2,7,4,5,3,1,6]=>[7,3,1,5,6,4,2]
[2,7,4,5,3,6,1]=>[2,3,1,5,6,4,7]
[2,7,4,5,6,1,3]=>[4,3,1,5,6,7,2]
[2,7,4,5,6,3,1]=>[2,3,1,5,6,7,4]
[2,7,4,6,1,3,5]=>[6,3,1,5,7,2,4]
[2,7,4,6,1,5,3]=>[4,3,1,5,7,2,6]
[2,7,4,6,3,1,5]=>[6,3,1,5,7,4,2]
[2,7,4,6,3,5,1]=>[2,3,1,5,7,4,6]
[2,7,4,6,5,1,3]=>[4,3,1,5,7,6,2]
[2,7,4,6,5,3,1]=>[2,3,1,5,7,6,4]
[2,7,5,1,3,4,6]=>[7,3,1,6,2,4,5]
[2,7,5,1,3,6,4]=>[5,3,1,6,2,4,7]
[2,7,5,1,4,3,6]=>[7,3,1,6,2,5,4]
[2,7,5,1,4,6,3]=>[4,3,1,6,2,5,7]
[2,7,5,1,6,3,4]=>[5,3,1,6,2,7,4]
[2,7,5,1,6,4,3]=>[4,3,1,6,2,7,5]
[2,7,5,3,1,4,6]=>[7,3,1,6,4,2,5]
[2,7,5,3,1,6,4]=>[5,3,1,6,4,2,7]
[2,7,5,3,4,1,6]=>[7,3,1,6,4,5,2]
[2,7,5,3,4,6,1]=>[2,3,1,6,4,5,7]
[2,7,5,3,6,1,4]=>[5,3,1,6,4,7,2]
[2,7,5,3,6,4,1]=>[2,3,1,6,4,7,5]
[2,7,5,4,1,3,6]=>[7,3,1,6,5,2,4]
[2,7,5,4,1,6,3]=>[4,3,1,6,5,2,7]
[2,7,5,4,3,1,6]=>[7,3,1,6,5,4,2]
[2,7,5,4,3,6,1]=>[2,3,1,6,5,4,7]
[2,7,5,4,6,1,3]=>[4,3,1,6,5,7,2]
[2,7,5,4,6,3,1]=>[2,3,1,6,5,7,4]
[2,7,5,6,1,3,4]=>[5,3,1,6,7,2,4]
[2,7,5,6,1,4,3]=>[4,3,1,6,7,2,5]
[2,7,5,6,3,1,4]=>[5,3,1,6,7,4,2]
[2,7,5,6,3,4,1]=>[2,3,1,6,7,4,5]
[2,7,5,6,4,1,3]=>[4,3,1,6,7,5,2]
[2,7,5,6,4,3,1]=>[2,3,1,6,7,5,4]
[2,7,6,1,3,4,5]=>[6,3,1,7,2,4,5]
[2,7,6,1,3,5,4]=>[5,3,1,7,2,4,6]
[2,7,6,1,4,3,5]=>[6,3,1,7,2,5,4]
[2,7,6,1,4,5,3]=>[4,3,1,7,2,5,6]
[2,7,6,1,5,3,4]=>[5,3,1,7,2,6,4]
[2,7,6,1,5,4,3]=>[4,3,1,7,2,6,5]
[2,7,6,3,1,4,5]=>[6,3,1,7,4,2,5]
[2,7,6,3,1,5,4]=>[5,3,1,7,4,2,6]
[2,7,6,3,4,1,5]=>[6,3,1,7,4,5,2]
[2,7,6,3,4,5,1]=>[2,3,1,7,4,5,6]
[2,7,6,3,5,1,4]=>[5,3,1,7,4,6,2]
[2,7,6,3,5,4,1]=>[2,3,1,7,4,6,5]
[2,7,6,4,1,3,5]=>[6,3,1,7,5,2,4]
[2,7,6,4,1,5,3]=>[4,3,1,7,5,2,6]
[2,7,6,4,3,1,5]=>[6,3,1,7,5,4,2]
[2,7,6,4,3,5,1]=>[2,3,1,7,5,4,6]
[2,7,6,4,5,1,3]=>[4,3,1,7,5,6,2]
[2,7,6,4,5,3,1]=>[2,3,1,7,5,6,4]
[2,7,6,5,1,3,4]=>[5,3,1,7,6,2,4]
[2,7,6,5,1,4,3]=>[4,3,1,7,6,2,5]
[2,7,6,5,3,1,4]=>[5,3,1,7,6,4,2]
[2,7,6,5,3,4,1]=>[2,3,1,7,6,4,5]
[2,7,6,5,4,1,3]=>[4,3,1,7,6,5,2]
[2,7,6,5,4,3,1]=>[2,3,1,7,6,5,4]
[3,1,2,4,5,6,7]=>[1,4,2,3,5,6,7]
[3,1,2,4,5,7,6]=>[7,4,2,3,5,6,1]
[3,1,2,4,6,5,7]=>[1,4,2,3,5,7,6]
[3,1,2,4,6,7,5]=>[6,4,2,3,5,7,1]
[3,1,2,4,7,5,6]=>[7,4,2,3,5,1,6]
[3,1,2,4,7,6,5]=>[6,4,2,3,5,1,7]
[3,1,2,5,4,6,7]=>[1,4,2,3,6,5,7]
[3,1,2,5,4,7,6]=>[7,4,2,3,6,5,1]
[3,1,2,5,6,4,7]=>[1,4,2,3,6,7,5]
[3,1,2,5,6,7,4]=>[5,4,2,3,6,7,1]
[3,1,2,5,7,4,6]=>[7,4,2,3,6,1,5]
[3,1,2,5,7,6,4]=>[5,4,2,3,6,1,7]
[3,1,2,6,4,5,7]=>[1,4,2,3,7,5,6]
[3,1,2,6,4,7,5]=>[6,4,2,3,7,5,1]
[3,1,2,6,5,4,7]=>[1,4,2,3,7,6,5]
[3,1,2,6,5,7,4]=>[5,4,2,3,7,6,1]
[3,1,2,6,7,4,5]=>[6,4,2,3,7,1,5]
[3,1,2,6,7,5,4]=>[5,4,2,3,7,1,6]
[3,1,2,7,4,5,6]=>[7,4,2,3,1,5,6]
[3,1,2,7,4,6,5]=>[6,4,2,3,1,5,7]
[3,1,2,7,5,4,6]=>[7,4,2,3,1,6,5]
[3,1,2,7,5,6,4]=>[5,4,2,3,1,6,7]
[3,1,2,7,6,4,5]=>[6,4,2,3,1,7,5]
[3,1,2,7,6,5,4]=>[5,4,2,3,1,7,6]
[3,1,4,2,5,6,7]=>[1,4,2,5,3,6,7]
[3,1,4,2,5,7,6]=>[7,4,2,5,3,6,1]
[3,1,4,2,6,5,7]=>[1,4,2,5,3,7,6]
[3,1,4,2,6,7,5]=>[6,4,2,5,3,7,1]
[3,1,4,2,7,5,6]=>[7,4,2,5,3,1,6]
[3,1,4,2,7,6,5]=>[6,4,2,5,3,1,7]
[3,1,4,5,2,6,7]=>[1,4,2,5,6,3,7]
[3,1,4,5,2,7,6]=>[7,4,2,5,6,3,1]
[3,1,4,5,6,2,7]=>[1,4,2,5,6,7,3]
[3,1,4,5,6,7,2]=>[3,4,2,5,6,7,1]
[3,1,4,5,7,2,6]=>[7,4,2,5,6,1,3]
[3,1,4,5,7,6,2]=>[3,4,2,5,6,1,7]
[3,1,4,6,2,5,7]=>[1,4,2,5,7,3,6]
[3,1,4,6,2,7,5]=>[6,4,2,5,7,3,1]
[3,1,4,6,5,2,7]=>[1,4,2,5,7,6,3]
[3,1,4,6,5,7,2]=>[3,4,2,5,7,6,1]
[3,1,4,6,7,2,5]=>[6,4,2,5,7,1,3]
[3,1,4,6,7,5,2]=>[3,4,2,5,7,1,6]
[3,1,4,7,2,5,6]=>[7,4,2,5,1,3,6]
[3,1,4,7,2,6,5]=>[6,4,2,5,1,3,7]
[3,1,4,7,5,2,6]=>[7,4,2,5,1,6,3]
[3,1,4,7,5,6,2]=>[3,4,2,5,1,6,7]
[3,1,4,7,6,2,5]=>[6,4,2,5,1,7,3]
[3,1,4,7,6,5,2]=>[3,4,2,5,1,7,6]
[3,1,5,2,4,6,7]=>[1,4,2,6,3,5,7]
[3,1,5,2,4,7,6]=>[7,4,2,6,3,5,1]
[3,1,5,2,6,4,7]=>[1,4,2,6,3,7,5]
[3,1,5,2,6,7,4]=>[5,4,2,6,3,7,1]
[3,1,5,2,7,4,6]=>[7,4,2,6,3,1,5]
[3,1,5,2,7,6,4]=>[5,4,2,6,3,1,7]
[3,1,5,4,2,6,7]=>[1,4,2,6,5,3,7]
[3,1,5,4,2,7,6]=>[7,4,2,6,5,3,1]
[3,1,5,4,6,2,7]=>[1,4,2,6,5,7,3]
[3,1,5,4,6,7,2]=>[3,4,2,6,5,7,1]
[3,1,5,4,7,2,6]=>[7,4,2,6,5,1,3]
[3,1,5,4,7,6,2]=>[3,4,2,6,5,1,7]
[3,1,5,6,2,4,7]=>[1,4,2,6,7,3,5]
[3,1,5,6,2,7,4]=>[5,4,2,6,7,3,1]
[3,1,5,6,4,2,7]=>[1,4,2,6,7,5,3]
[3,1,5,6,4,7,2]=>[3,4,2,6,7,5,1]
[3,1,5,6,7,2,4]=>[5,4,2,6,7,1,3]
[3,1,5,6,7,4,2]=>[3,4,2,6,7,1,5]
[3,1,5,7,2,4,6]=>[7,4,2,6,1,3,5]
[3,1,5,7,2,6,4]=>[5,4,2,6,1,3,7]
[3,1,5,7,4,2,6]=>[7,4,2,6,1,5,3]
[3,1,5,7,4,6,2]=>[3,4,2,6,1,5,7]
[3,1,5,7,6,2,4]=>[5,4,2,6,1,7,3]
[3,1,5,7,6,4,2]=>[3,4,2,6,1,7,5]
[3,1,6,2,4,5,7]=>[1,4,2,7,3,5,6]
[3,1,6,2,4,7,5]=>[6,4,2,7,3,5,1]
[3,1,6,2,5,4,7]=>[1,4,2,7,3,6,5]
[3,1,6,2,5,7,4]=>[5,4,2,7,3,6,1]
[3,1,6,2,7,4,5]=>[6,4,2,7,3,1,5]
[3,1,6,2,7,5,4]=>[5,4,2,7,3,1,6]
[3,1,6,4,2,5,7]=>[1,4,2,7,5,3,6]
[3,1,6,4,2,7,5]=>[6,4,2,7,5,3,1]
[3,1,6,4,5,2,7]=>[1,4,2,7,5,6,3]
[3,1,6,4,5,7,2]=>[3,4,2,7,5,6,1]
[3,1,6,4,7,2,5]=>[6,4,2,7,5,1,3]
[3,1,6,4,7,5,2]=>[3,4,2,7,5,1,6]
[3,1,6,5,2,4,7]=>[1,4,2,7,6,3,5]
[3,1,6,5,2,7,4]=>[5,4,2,7,6,3,1]
[3,1,6,5,4,2,7]=>[1,4,2,7,6,5,3]
[3,1,6,5,4,7,2]=>[3,4,2,7,6,5,1]
[3,1,6,5,7,2,4]=>[5,4,2,7,6,1,3]
[3,1,6,5,7,4,2]=>[3,4,2,7,6,1,5]
[3,1,6,7,2,4,5]=>[6,4,2,7,1,3,5]
[3,1,6,7,2,5,4]=>[5,4,2,7,1,3,6]
[3,1,6,7,4,2,5]=>[6,4,2,7,1,5,3]
[3,1,6,7,4,5,2]=>[3,4,2,7,1,5,6]
[3,1,6,7,5,2,4]=>[5,4,2,7,1,6,3]
[3,1,6,7,5,4,2]=>[3,4,2,7,1,6,5]
[3,1,7,2,4,5,6]=>[7,4,2,1,3,5,6]
[3,1,7,2,4,6,5]=>[6,4,2,1,3,5,7]
[3,1,7,2,5,4,6]=>[7,4,2,1,3,6,5]
[3,1,7,2,5,6,4]=>[5,4,2,1,3,6,7]
[3,1,7,2,6,4,5]=>[6,4,2,1,3,7,5]
[3,1,7,2,6,5,4]=>[5,4,2,1,3,7,6]
[3,1,7,4,2,5,6]=>[7,4,2,1,5,3,6]
[3,1,7,4,2,6,5]=>[6,4,2,1,5,3,7]
[3,1,7,4,5,2,6]=>[7,4,2,1,5,6,3]
[3,1,7,4,5,6,2]=>[3,4,2,1,5,6,7]
[3,1,7,4,6,2,5]=>[6,4,2,1,5,7,3]
[3,1,7,4,6,5,2]=>[3,4,2,1,5,7,6]
[3,1,7,5,2,4,6]=>[7,4,2,1,6,3,5]
[3,1,7,5,2,6,4]=>[5,4,2,1,6,3,7]
[3,1,7,5,4,2,6]=>[7,4,2,1,6,5,3]
[3,1,7,5,4,6,2]=>[3,4,2,1,6,5,7]
[3,1,7,5,6,2,4]=>[5,4,2,1,6,7,3]
[3,1,7,5,6,4,2]=>[3,4,2,1,6,7,5]
[3,1,7,6,2,4,5]=>[6,4,2,1,7,3,5]
[3,1,7,6,2,5,4]=>[5,4,2,1,7,3,6]
[3,1,7,6,4,2,5]=>[6,4,2,1,7,5,3]
[3,1,7,6,4,5,2]=>[3,4,2,1,7,5,6]
[3,1,7,6,5,2,4]=>[5,4,2,1,7,6,3]
[3,1,7,6,5,4,2]=>[3,4,2,1,7,6,5]
[3,2,1,4,5,6,7]=>[1,4,3,2,5,6,7]
[3,2,1,4,5,7,6]=>[7,4,3,2,5,6,1]
[3,2,1,4,6,5,7]=>[1,4,3,2,5,7,6]
[3,2,1,4,6,7,5]=>[6,4,3,2,5,7,1]
[3,2,1,4,7,5,6]=>[7,4,3,2,5,1,6]
[3,2,1,4,7,6,5]=>[6,4,3,2,5,1,7]
[3,2,1,5,4,6,7]=>[1,4,3,2,6,5,7]
[3,2,1,5,4,7,6]=>[7,4,3,2,6,5,1]
[3,2,1,5,6,4,7]=>[1,4,3,2,6,7,5]
[3,2,1,5,6,7,4]=>[5,4,3,2,6,7,1]
[3,2,1,5,7,4,6]=>[7,4,3,2,6,1,5]
[3,2,1,5,7,6,4]=>[5,4,3,2,6,1,7]
[3,2,1,6,4,5,7]=>[1,4,3,2,7,5,6]
[3,2,1,6,4,7,5]=>[6,4,3,2,7,5,1]
[3,2,1,6,5,4,7]=>[1,4,3,2,7,6,5]
[3,2,1,6,5,7,4]=>[5,4,3,2,7,6,1]
[3,2,1,6,7,4,5]=>[6,4,3,2,7,1,5]
[3,2,1,6,7,5,4]=>[5,4,3,2,7,1,6]
[3,2,1,7,4,5,6]=>[7,4,3,2,1,5,6]
[3,2,1,7,4,6,5]=>[6,4,3,2,1,5,7]
[3,2,1,7,5,4,6]=>[7,4,3,2,1,6,5]
[3,2,1,7,5,6,4]=>[5,4,3,2,1,6,7]
[3,2,1,7,6,4,5]=>[6,4,3,2,1,7,5]
[3,2,1,7,6,5,4]=>[5,4,3,2,1,7,6]
[3,2,4,1,5,6,7]=>[1,4,3,5,2,6,7]
[3,2,4,1,5,7,6]=>[7,4,3,5,2,6,1]
[3,2,4,1,6,5,7]=>[1,4,3,5,2,7,6]
[3,2,4,1,6,7,5]=>[6,4,3,5,2,7,1]
[3,2,4,1,7,5,6]=>[7,4,3,5,2,1,6]
[3,2,4,1,7,6,5]=>[6,4,3,5,2,1,7]
[3,2,4,5,1,6,7]=>[1,4,3,5,6,2,7]
[3,2,4,5,1,7,6]=>[7,4,3,5,6,2,1]
[3,2,4,5,6,1,7]=>[1,4,3,5,6,7,2]
[3,2,4,5,6,7,1]=>[2,4,3,5,6,7,1]
[3,2,4,5,7,1,6]=>[7,4,3,5,6,1,2]
[3,2,4,5,7,6,1]=>[2,4,3,5,6,1,7]
[3,2,4,6,1,5,7]=>[1,4,3,5,7,2,6]
[3,2,4,6,1,7,5]=>[6,4,3,5,7,2,1]
[3,2,4,6,5,1,7]=>[1,4,3,5,7,6,2]
[3,2,4,6,5,7,1]=>[2,4,3,5,7,6,1]
[3,2,4,6,7,1,5]=>[6,4,3,5,7,1,2]
[3,2,4,6,7,5,1]=>[2,4,3,5,7,1,6]
[3,2,4,7,1,5,6]=>[7,4,3,5,1,2,6]
[3,2,4,7,1,6,5]=>[6,4,3,5,1,2,7]
[3,2,4,7,5,1,6]=>[7,4,3,5,1,6,2]
[3,2,4,7,5,6,1]=>[2,4,3,5,1,6,7]
[3,2,4,7,6,1,5]=>[6,4,3,5,1,7,2]
[3,2,4,7,6,5,1]=>[2,4,3,5,1,7,6]
[3,2,5,1,4,6,7]=>[1,4,3,6,2,5,7]
[3,2,5,1,4,7,6]=>[7,4,3,6,2,5,1]
[3,2,5,1,6,4,7]=>[1,4,3,6,2,7,5]
[3,2,5,1,6,7,4]=>[5,4,3,6,2,7,1]
[3,2,5,1,7,4,6]=>[7,4,3,6,2,1,5]
[3,2,5,1,7,6,4]=>[5,4,3,6,2,1,7]
[3,2,5,4,1,6,7]=>[1,4,3,6,5,2,7]
[3,2,5,4,1,7,6]=>[7,4,3,6,5,2,1]
[3,2,5,4,6,1,7]=>[1,4,3,6,5,7,2]
[3,2,5,4,6,7,1]=>[2,4,3,6,5,7,1]
[3,2,5,4,7,1,6]=>[7,4,3,6,5,1,2]
[3,2,5,4,7,6,1]=>[2,4,3,6,5,1,7]
[3,2,5,6,1,4,7]=>[1,4,3,6,7,2,5]
[3,2,5,6,1,7,4]=>[5,4,3,6,7,2,1]
[3,2,5,6,4,1,7]=>[1,4,3,6,7,5,2]
[3,2,5,6,4,7,1]=>[2,4,3,6,7,5,1]
[3,2,5,6,7,1,4]=>[5,4,3,6,7,1,2]
[3,2,5,6,7,4,1]=>[2,4,3,6,7,1,5]
[3,2,5,7,1,4,6]=>[7,4,3,6,1,2,5]
[3,2,5,7,1,6,4]=>[5,4,3,6,1,2,7]
[3,2,5,7,4,1,6]=>[7,4,3,6,1,5,2]
[3,2,5,7,4,6,1]=>[2,4,3,6,1,5,7]
[3,2,5,7,6,1,4]=>[5,4,3,6,1,7,2]
[3,2,5,7,6,4,1]=>[2,4,3,6,1,7,5]
[3,2,6,1,4,5,7]=>[1,4,3,7,2,5,6]
[3,2,6,1,4,7,5]=>[6,4,3,7,2,5,1]
[3,2,6,1,5,4,7]=>[1,4,3,7,2,6,5]
[3,2,6,1,5,7,4]=>[5,4,3,7,2,6,1]
[3,2,6,1,7,4,5]=>[6,4,3,7,2,1,5]
[3,2,6,1,7,5,4]=>[5,4,3,7,2,1,6]
[3,2,6,4,1,5,7]=>[1,4,3,7,5,2,6]
[3,2,6,4,1,7,5]=>[6,4,3,7,5,2,1]
[3,2,6,4,5,1,7]=>[1,4,3,7,5,6,2]
[3,2,6,4,5,7,1]=>[2,4,3,7,5,6,1]
[3,2,6,4,7,1,5]=>[6,4,3,7,5,1,2]
[3,2,6,4,7,5,1]=>[2,4,3,7,5,1,6]
[3,2,6,5,1,4,7]=>[1,4,3,7,6,2,5]
[3,2,6,5,1,7,4]=>[5,4,3,7,6,2,1]
[3,2,6,5,4,1,7]=>[1,4,3,7,6,5,2]
[3,2,6,5,4,7,1]=>[2,4,3,7,6,5,1]
[3,2,6,5,7,1,4]=>[5,4,3,7,6,1,2]
[3,2,6,5,7,4,1]=>[2,4,3,7,6,1,5]
[3,2,6,7,1,4,5]=>[6,4,3,7,1,2,5]
[3,2,6,7,1,5,4]=>[5,4,3,7,1,2,6]
[3,2,6,7,4,1,5]=>[6,4,3,7,1,5,2]
[3,2,6,7,4,5,1]=>[2,4,3,7,1,5,6]
[3,2,6,7,5,1,4]=>[5,4,3,7,1,6,2]
[3,2,6,7,5,4,1]=>[2,4,3,7,1,6,5]
[3,2,7,1,4,5,6]=>[7,4,3,1,2,5,6]
[3,2,7,1,4,6,5]=>[6,4,3,1,2,5,7]
[3,2,7,1,5,4,6]=>[7,4,3,1,2,6,5]
[3,2,7,1,5,6,4]=>[5,4,3,1,2,6,7]
[3,2,7,1,6,4,5]=>[6,4,3,1,2,7,5]
[3,2,7,1,6,5,4]=>[5,4,3,1,2,7,6]
[3,2,7,4,1,5,6]=>[7,4,3,1,5,2,6]
[3,2,7,4,1,6,5]=>[6,4,3,1,5,2,7]
[3,2,7,4,5,1,6]=>[7,4,3,1,5,6,2]
[3,2,7,4,5,6,1]=>[2,4,3,1,5,6,7]
[3,2,7,4,6,1,5]=>[6,4,3,1,5,7,2]
[3,2,7,4,6,5,1]=>[2,4,3,1,5,7,6]
[3,2,7,5,1,4,6]=>[7,4,3,1,6,2,5]
[3,2,7,5,1,6,4]=>[5,4,3,1,6,2,7]
[3,2,7,5,4,1,6]=>[7,4,3,1,6,5,2]
[3,2,7,5,4,6,1]=>[2,4,3,1,6,5,7]
[3,2,7,5,6,1,4]=>[5,4,3,1,6,7,2]
[3,2,7,5,6,4,1]=>[2,4,3,1,6,7,5]
[3,2,7,6,1,4,5]=>[6,4,3,1,7,2,5]
[3,2,7,6,1,5,4]=>[5,4,3,1,7,2,6]
[3,2,7,6,4,1,5]=>[6,4,3,1,7,5,2]
[3,2,7,6,4,5,1]=>[2,4,3,1,7,5,6]
[3,2,7,6,5,1,4]=>[5,4,3,1,7,6,2]
[3,2,7,6,5,4,1]=>[2,4,3,1,7,6,5]
[3,4,1,2,5,6,7]=>[1,4,5,2,3,6,7]
[3,4,1,2,5,7,6]=>[7,4,5,2,3,6,1]
[3,4,1,2,6,5,7]=>[1,4,5,2,3,7,6]
[3,4,1,2,6,7,5]=>[6,4,5,2,3,7,1]
[3,4,1,2,7,5,6]=>[7,4,5,2,3,1,6]
[3,4,1,2,7,6,5]=>[6,4,5,2,3,1,7]
[3,4,1,5,2,6,7]=>[1,4,5,2,6,3,7]
[3,4,1,5,2,7,6]=>[7,4,5,2,6,3,1]
[3,4,1,5,6,2,7]=>[1,4,5,2,6,7,3]
[3,4,1,5,6,7,2]=>[3,4,5,2,6,7,1]
[3,4,1,5,7,2,6]=>[7,4,5,2,6,1,3]
[3,4,1,5,7,6,2]=>[3,4,5,2,6,1,7]
[3,4,1,6,2,5,7]=>[1,4,5,2,7,3,6]
[3,4,1,6,2,7,5]=>[6,4,5,2,7,3,1]
[3,4,1,6,5,2,7]=>[1,4,5,2,7,6,3]
[3,4,1,6,5,7,2]=>[3,4,5,2,7,6,1]
[3,4,1,6,7,2,5]=>[6,4,5,2,7,1,3]
[3,4,1,6,7,5,2]=>[3,4,5,2,7,1,6]
[3,4,1,7,2,5,6]=>[7,4,5,2,1,3,6]
[3,4,1,7,2,6,5]=>[6,4,5,2,1,3,7]
[3,4,1,7,5,2,6]=>[7,4,5,2,1,6,3]
[3,4,1,7,5,6,2]=>[3,4,5,2,1,6,7]
[3,4,1,7,6,2,5]=>[6,4,5,2,1,7,3]
[3,4,1,7,6,5,2]=>[3,4,5,2,1,7,6]
[3,4,2,1,5,6,7]=>[1,4,5,3,2,6,7]
[3,4,2,1,5,7,6]=>[7,4,5,3,2,6,1]
[3,4,2,1,6,5,7]=>[1,4,5,3,2,7,6]
[3,4,2,1,6,7,5]=>[6,4,5,3,2,7,1]
[3,4,2,1,7,5,6]=>[7,4,5,3,2,1,6]
[3,4,2,1,7,6,5]=>[6,4,5,3,2,1,7]
[3,4,2,5,1,6,7]=>[1,4,5,3,6,2,7]
[3,4,2,5,1,7,6]=>[7,4,5,3,6,2,1]
[3,4,2,5,6,1,7]=>[1,4,5,3,6,7,2]
[3,4,2,5,6,7,1]=>[2,4,5,3,6,7,1]
[3,4,2,5,7,1,6]=>[7,4,5,3,6,1,2]
[3,4,2,5,7,6,1]=>[2,4,5,3,6,1,7]
[3,4,2,6,1,5,7]=>[1,4,5,3,7,2,6]
[3,4,2,6,1,7,5]=>[6,4,5,3,7,2,1]
[3,4,2,6,5,1,7]=>[1,4,5,3,7,6,2]
[3,4,2,6,5,7,1]=>[2,4,5,3,7,6,1]
[3,4,2,6,7,1,5]=>[6,4,5,3,7,1,2]
[3,4,2,6,7,5,1]=>[2,4,5,3,7,1,6]
[3,4,2,7,1,5,6]=>[7,4,5,3,1,2,6]
[3,4,2,7,1,6,5]=>[6,4,5,3,1,2,7]
[3,4,2,7,5,1,6]=>[7,4,5,3,1,6,2]
[3,4,2,7,5,6,1]=>[2,4,5,3,1,6,7]
[3,4,2,7,6,1,5]=>[6,4,5,3,1,7,2]
[3,4,2,7,6,5,1]=>[2,4,5,3,1,7,6]
[3,4,5,1,2,6,7]=>[1,4,5,6,2,3,7]
[3,4,5,1,2,7,6]=>[7,4,5,6,2,3,1]
[3,4,5,1,6,2,7]=>[1,4,5,6,2,7,3]
[3,4,5,1,6,7,2]=>[3,4,5,6,2,7,1]
[3,4,5,1,7,2,6]=>[7,4,5,6,2,1,3]
[3,4,5,1,7,6,2]=>[3,4,5,6,2,1,7]
[3,4,5,2,1,6,7]=>[1,4,5,6,3,2,7]
[3,4,5,2,1,7,6]=>[7,4,5,6,3,2,1]
[3,4,5,2,6,1,7]=>[1,4,5,6,3,7,2]
[3,4,5,2,6,7,1]=>[2,4,5,6,3,7,1]
[3,4,5,2,7,1,6]=>[7,4,5,6,3,1,2]
[3,4,5,2,7,6,1]=>[2,4,5,6,3,1,7]
[3,4,5,6,1,2,7]=>[1,4,5,6,7,2,3]
[3,4,5,6,1,7,2]=>[3,4,5,6,7,2,1]
[3,4,5,6,2,1,7]=>[1,4,5,6,7,3,2]
[3,4,5,6,2,7,1]=>[2,4,5,6,7,3,1]
[3,4,5,6,7,1,2]=>[3,4,5,6,7,1,2]
[3,4,5,6,7,2,1]=>[2,4,5,6,7,1,3]
[3,4,5,7,1,2,6]=>[7,4,5,6,1,2,3]
[3,4,5,7,1,6,2]=>[3,4,5,6,1,2,7]
[3,4,5,7,2,1,6]=>[7,4,5,6,1,3,2]
[3,4,5,7,2,6,1]=>[2,4,5,6,1,3,7]
[3,4,5,7,6,1,2]=>[3,4,5,6,1,7,2]
[3,4,5,7,6,2,1]=>[2,4,5,6,1,7,3]
[3,4,6,1,2,5,7]=>[1,4,5,7,2,3,6]
[3,4,6,1,2,7,5]=>[6,4,5,7,2,3,1]
[3,4,6,1,5,2,7]=>[1,4,5,7,2,6,3]
[3,4,6,1,5,7,2]=>[3,4,5,7,2,6,1]
[3,4,6,1,7,2,5]=>[6,4,5,7,2,1,3]
[3,4,6,1,7,5,2]=>[3,4,5,7,2,1,6]
[3,4,6,2,1,5,7]=>[1,4,5,7,3,2,6]
[3,4,6,2,1,7,5]=>[6,4,5,7,3,2,1]
[3,4,6,2,5,1,7]=>[1,4,5,7,3,6,2]
[3,4,6,2,5,7,1]=>[2,4,5,7,3,6,1]
[3,4,6,2,7,1,5]=>[6,4,5,7,3,1,2]
[3,4,6,2,7,5,1]=>[2,4,5,7,3,1,6]
[3,4,6,5,1,2,7]=>[1,4,5,7,6,2,3]
[3,4,6,5,1,7,2]=>[3,4,5,7,6,2,1]
[3,4,6,5,2,1,7]=>[1,4,5,7,6,3,2]
[3,4,6,5,2,7,1]=>[2,4,5,7,6,3,1]
[3,4,6,5,7,1,2]=>[3,4,5,7,6,1,2]
[3,4,6,5,7,2,1]=>[2,4,5,7,6,1,3]
[3,4,6,7,1,2,5]=>[6,4,5,7,1,2,3]
[3,4,6,7,1,5,2]=>[3,4,5,7,1,2,6]
[3,4,6,7,2,1,5]=>[6,4,5,7,1,3,2]
[3,4,6,7,2,5,1]=>[2,4,5,7,1,3,6]
[3,4,6,7,5,1,2]=>[3,4,5,7,1,6,2]
[3,4,6,7,5,2,1]=>[2,4,5,7,1,6,3]
[3,4,7,1,2,5,6]=>[7,4,5,1,2,3,6]
[3,4,7,1,2,6,5]=>[6,4,5,1,2,3,7]
[3,4,7,1,5,2,6]=>[7,4,5,1,2,6,3]
[3,4,7,1,5,6,2]=>[3,4,5,1,2,6,7]
[3,4,7,1,6,2,5]=>[6,4,5,1,2,7,3]
[3,4,7,1,6,5,2]=>[3,4,5,1,2,7,6]
[3,4,7,2,1,5,6]=>[7,4,5,1,3,2,6]
[3,4,7,2,1,6,5]=>[6,4,5,1,3,2,7]
[3,4,7,2,5,1,6]=>[7,4,5,1,3,6,2]
[3,4,7,2,5,6,1]=>[2,4,5,1,3,6,7]
[3,4,7,2,6,1,5]=>[6,4,5,1,3,7,2]
[3,4,7,2,6,5,1]=>[2,4,5,1,3,7,6]
[3,4,7,5,1,2,6]=>[7,4,5,1,6,2,3]
[3,4,7,5,1,6,2]=>[3,4,5,1,6,2,7]
[3,4,7,5,2,1,6]=>[7,4,5,1,6,3,2]
[3,4,7,5,2,6,1]=>[2,4,5,1,6,3,7]
[3,4,7,5,6,1,2]=>[3,4,5,1,6,7,2]
[3,4,7,5,6,2,1]=>[2,4,5,1,6,7,3]
[3,4,7,6,1,2,5]=>[6,4,5,1,7,2,3]
[3,4,7,6,1,5,2]=>[3,4,5,1,7,2,6]
[3,4,7,6,2,1,5]=>[6,4,5,1,7,3,2]
[3,4,7,6,2,5,1]=>[2,4,5,1,7,3,6]
[3,4,7,6,5,1,2]=>[3,4,5,1,7,6,2]
[3,4,7,6,5,2,1]=>[2,4,5,1,7,6,3]
[3,5,1,2,4,6,7]=>[1,4,6,2,3,5,7]
[3,5,1,2,4,7,6]=>[7,4,6,2,3,5,1]
[3,5,1,2,6,4,7]=>[1,4,6,2,3,7,5]
[3,5,1,2,6,7,4]=>[5,4,6,2,3,7,1]
[3,5,1,2,7,4,6]=>[7,4,6,2,3,1,5]
[3,5,1,2,7,6,4]=>[5,4,6,2,3,1,7]
[3,5,1,4,2,6,7]=>[1,4,6,2,5,3,7]
[3,5,1,4,2,7,6]=>[7,4,6,2,5,3,1]
[3,5,1,4,6,2,7]=>[1,4,6,2,5,7,3]
[3,5,1,4,6,7,2]=>[3,4,6,2,5,7,1]
[3,5,1,4,7,2,6]=>[7,4,6,2,5,1,3]
[3,5,1,4,7,6,2]=>[3,4,6,2,5,1,7]
[3,5,1,6,2,4,7]=>[1,4,6,2,7,3,5]
[3,5,1,6,2,7,4]=>[5,4,6,2,7,3,1]
[3,5,1,6,4,2,7]=>[1,4,6,2,7,5,3]
[3,5,1,6,4,7,2]=>[3,4,6,2,7,5,1]
[3,5,1,6,7,2,4]=>[5,4,6,2,7,1,3]
[3,5,1,6,7,4,2]=>[3,4,6,2,7,1,5]
[3,5,1,7,2,4,6]=>[7,4,6,2,1,3,5]
[3,5,1,7,2,6,4]=>[5,4,6,2,1,3,7]
[3,5,1,7,4,2,6]=>[7,4,6,2,1,5,3]
[3,5,1,7,4,6,2]=>[3,4,6,2,1,5,7]
[3,5,1,7,6,2,4]=>[5,4,6,2,1,7,3]
[3,5,1,7,6,4,2]=>[3,4,6,2,1,7,5]
[3,5,2,1,4,6,7]=>[1,4,6,3,2,5,7]
[3,5,2,1,4,7,6]=>[7,4,6,3,2,5,1]
[3,5,2,1,6,4,7]=>[1,4,6,3,2,7,5]
[3,5,2,1,6,7,4]=>[5,4,6,3,2,7,1]
[3,5,2,1,7,4,6]=>[7,4,6,3,2,1,5]
[3,5,2,1,7,6,4]=>[5,4,6,3,2,1,7]
[3,5,2,4,1,6,7]=>[1,4,6,3,5,2,7]
[3,5,2,4,1,7,6]=>[7,4,6,3,5,2,1]
[3,5,2,4,6,1,7]=>[1,4,6,3,5,7,2]
[3,5,2,4,6,7,1]=>[2,4,6,3,5,7,1]
[3,5,2,4,7,1,6]=>[7,4,6,3,5,1,2]
[3,5,2,4,7,6,1]=>[2,4,6,3,5,1,7]
[3,5,2,6,1,4,7]=>[1,4,6,3,7,2,5]
[3,5,2,6,1,7,4]=>[5,4,6,3,7,2,1]
[3,5,2,6,4,1,7]=>[1,4,6,3,7,5,2]
[3,5,2,6,4,7,1]=>[2,4,6,3,7,5,1]
[3,5,2,6,7,1,4]=>[5,4,6,3,7,1,2]
[3,5,2,6,7,4,1]=>[2,4,6,3,7,1,5]
[3,5,2,7,1,4,6]=>[7,4,6,3,1,2,5]
[3,5,2,7,1,6,4]=>[5,4,6,3,1,2,7]
[3,5,2,7,4,1,6]=>[7,4,6,3,1,5,2]
[3,5,2,7,4,6,1]=>[2,4,6,3,1,5,7]
[3,5,2,7,6,1,4]=>[5,4,6,3,1,7,2]
[3,5,2,7,6,4,1]=>[2,4,6,3,1,7,5]
[3,5,4,1,2,6,7]=>[1,4,6,5,2,3,7]
[3,5,4,1,2,7,6]=>[7,4,6,5,2,3,1]
[3,5,4,1,6,2,7]=>[1,4,6,5,2,7,3]
[3,5,4,1,6,7,2]=>[3,4,6,5,2,7,1]
[3,5,4,1,7,2,6]=>[7,4,6,5,2,1,3]
[3,5,4,1,7,6,2]=>[3,4,6,5,2,1,7]
[3,5,4,2,1,6,7]=>[1,4,6,5,3,2,7]
[3,5,4,2,1,7,6]=>[7,4,6,5,3,2,1]
[3,5,4,2,6,1,7]=>[1,4,6,5,3,7,2]
[3,5,4,2,6,7,1]=>[2,4,6,5,3,7,1]
[3,5,4,2,7,1,6]=>[7,4,6,5,3,1,2]
[3,5,4,2,7,6,1]=>[2,4,6,5,3,1,7]
[3,5,4,6,1,2,7]=>[1,4,6,5,7,2,3]
[3,5,4,6,1,7,2]=>[3,4,6,5,7,2,1]
[3,5,4,6,2,1,7]=>[1,4,6,5,7,3,2]
[3,5,4,6,2,7,1]=>[2,4,6,5,7,3,1]
[3,5,4,6,7,1,2]=>[3,4,6,5,7,1,2]
[3,5,4,6,7,2,1]=>[2,4,6,5,7,1,3]
[3,5,4,7,1,2,6]=>[7,4,6,5,1,2,3]
[3,5,4,7,1,6,2]=>[3,4,6,5,1,2,7]
[3,5,4,7,2,1,6]=>[7,4,6,5,1,3,2]
[3,5,4,7,2,6,1]=>[2,4,6,5,1,3,7]
[3,5,4,7,6,1,2]=>[3,4,6,5,1,7,2]
[3,5,4,7,6,2,1]=>[2,4,6,5,1,7,3]
[3,5,6,1,2,4,7]=>[1,4,6,7,2,3,5]
[3,5,6,1,2,7,4]=>[5,4,6,7,2,3,1]
[3,5,6,1,4,2,7]=>[1,4,6,7,2,5,3]
[3,5,6,1,4,7,2]=>[3,4,6,7,2,5,1]
[3,5,6,1,7,2,4]=>[5,4,6,7,2,1,3]
[3,5,6,1,7,4,2]=>[3,4,6,7,2,1,5]
[3,5,6,2,1,4,7]=>[1,4,6,7,3,2,5]
[3,5,6,2,1,7,4]=>[5,4,6,7,3,2,1]
[3,5,6,2,4,1,7]=>[1,4,6,7,3,5,2]
[3,5,6,2,4,7,1]=>[2,4,6,7,3,5,1]
[3,5,6,2,7,1,4]=>[5,4,6,7,3,1,2]
[3,5,6,2,7,4,1]=>[2,4,6,7,3,1,5]
[3,5,6,4,1,2,7]=>[1,4,6,7,5,2,3]
[3,5,6,4,1,7,2]=>[3,4,6,7,5,2,1]
[3,5,6,4,2,1,7]=>[1,4,6,7,5,3,2]
[3,5,6,4,2,7,1]=>[2,4,6,7,5,3,1]
[3,5,6,4,7,1,2]=>[3,4,6,7,5,1,2]
[3,5,6,4,7,2,1]=>[2,4,6,7,5,1,3]
[3,5,6,7,1,2,4]=>[5,4,6,7,1,2,3]
[3,5,6,7,1,4,2]=>[3,4,6,7,1,2,5]
[3,5,6,7,2,1,4]=>[5,4,6,7,1,3,2]
[3,5,6,7,2,4,1]=>[2,4,6,7,1,3,5]
[3,5,6,7,4,1,2]=>[3,4,6,7,1,5,2]
[3,5,6,7,4,2,1]=>[2,4,6,7,1,5,3]
[3,5,7,1,2,4,6]=>[7,4,6,1,2,3,5]
[3,5,7,1,2,6,4]=>[5,4,6,1,2,3,7]
[3,5,7,1,4,2,6]=>[7,4,6,1,2,5,3]
[3,5,7,1,4,6,2]=>[3,4,6,1,2,5,7]
[3,5,7,1,6,2,4]=>[5,4,6,1,2,7,3]
[3,5,7,1,6,4,2]=>[3,4,6,1,2,7,5]
[3,5,7,2,1,4,6]=>[7,4,6,1,3,2,5]
[3,5,7,2,1,6,4]=>[5,4,6,1,3,2,7]
[3,5,7,2,4,1,6]=>[7,4,6,1,3,5,2]
[3,5,7,2,4,6,1]=>[2,4,6,1,3,5,7]
[3,5,7,2,6,1,4]=>[5,4,6,1,3,7,2]
[3,5,7,2,6,4,1]=>[2,4,6,1,3,7,5]
[3,5,7,4,1,2,6]=>[7,4,6,1,5,2,3]
[3,5,7,4,1,6,2]=>[3,4,6,1,5,2,7]
[3,5,7,4,2,1,6]=>[7,4,6,1,5,3,2]
[3,5,7,4,2,6,1]=>[2,4,6,1,5,3,7]
[3,5,7,4,6,1,2]=>[3,4,6,1,5,7,2]
[3,5,7,4,6,2,1]=>[2,4,6,1,5,7,3]
[3,5,7,6,1,2,4]=>[5,4,6,1,7,2,3]
[3,5,7,6,1,4,2]=>[3,4,6,1,7,2,5]
[3,5,7,6,2,1,4]=>[5,4,6,1,7,3,2]
[3,5,7,6,2,4,1]=>[2,4,6,1,7,3,5]
[3,5,7,6,4,1,2]=>[3,4,6,1,7,5,2]
[3,5,7,6,4,2,1]=>[2,4,6,1,7,5,3]
[3,6,1,2,4,5,7]=>[1,4,7,2,3,5,6]
[3,6,1,2,4,7,5]=>[6,4,7,2,3,5,1]
[3,6,1,2,5,4,7]=>[1,4,7,2,3,6,5]
[3,6,1,2,5,7,4]=>[5,4,7,2,3,6,1]
[3,6,1,2,7,4,5]=>[6,4,7,2,3,1,5]
[3,6,1,2,7,5,4]=>[5,4,7,2,3,1,6]
[3,6,1,4,2,5,7]=>[1,4,7,2,5,3,6]
[3,6,1,4,2,7,5]=>[6,4,7,2,5,3,1]
[3,6,1,4,5,2,7]=>[1,4,7,2,5,6,3]
[3,6,1,4,5,7,2]=>[3,4,7,2,5,6,1]
[3,6,1,4,7,2,5]=>[6,4,7,2,5,1,3]
[3,6,1,4,7,5,2]=>[3,4,7,2,5,1,6]
[3,6,1,5,2,4,7]=>[1,4,7,2,6,3,5]
[3,6,1,5,2,7,4]=>[5,4,7,2,6,3,1]
[3,6,1,5,4,2,7]=>[1,4,7,2,6,5,3]
[3,6,1,5,4,7,2]=>[3,4,7,2,6,5,1]
[3,6,1,5,7,2,4]=>[5,4,7,2,6,1,3]
[3,6,1,5,7,4,2]=>[3,4,7,2,6,1,5]
[3,6,1,7,2,4,5]=>[6,4,7,2,1,3,5]
[3,6,1,7,2,5,4]=>[5,4,7,2,1,3,6]
[3,6,1,7,4,2,5]=>[6,4,7,2,1,5,3]
[3,6,1,7,4,5,2]=>[3,4,7,2,1,5,6]
[3,6,1,7,5,2,4]=>[5,4,7,2,1,6,3]
[3,6,1,7,5,4,2]=>[3,4,7,2,1,6,5]
[3,6,2,1,4,5,7]=>[1,4,7,3,2,5,6]
[3,6,2,1,4,7,5]=>[6,4,7,3,2,5,1]
[3,6,2,1,5,4,7]=>[1,4,7,3,2,6,5]
[3,6,2,1,5,7,4]=>[5,4,7,3,2,6,1]
[3,6,2,1,7,4,5]=>[6,4,7,3,2,1,5]
[3,6,2,1,7,5,4]=>[5,4,7,3,2,1,6]
[3,6,2,4,1,5,7]=>[1,4,7,3,5,2,6]
[3,6,2,4,1,7,5]=>[6,4,7,3,5,2,1]
[3,6,2,4,5,1,7]=>[1,4,7,3,5,6,2]
[3,6,2,4,5,7,1]=>[2,4,7,3,5,6,1]
[3,6,2,4,7,1,5]=>[6,4,7,3,5,1,2]
[3,6,2,4,7,5,1]=>[2,4,7,3,5,1,6]
[3,6,2,5,1,4,7]=>[1,4,7,3,6,2,5]
[3,6,2,5,1,7,4]=>[5,4,7,3,6,2,1]
[3,6,2,5,4,1,7]=>[1,4,7,3,6,5,2]
[3,6,2,5,4,7,1]=>[2,4,7,3,6,5,1]
[3,6,2,5,7,1,4]=>[5,4,7,3,6,1,2]
[3,6,2,5,7,4,1]=>[2,4,7,3,6,1,5]
[3,6,2,7,1,4,5]=>[6,4,7,3,1,2,5]
[3,6,2,7,1,5,4]=>[5,4,7,3,1,2,6]
[3,6,2,7,4,1,5]=>[6,4,7,3,1,5,2]
[3,6,2,7,4,5,1]=>[2,4,7,3,1,5,6]
[3,6,2,7,5,1,4]=>[5,4,7,3,1,6,2]
[3,6,2,7,5,4,1]=>[2,4,7,3,1,6,5]
[3,6,4,1,2,5,7]=>[1,4,7,5,2,3,6]
[3,6,4,1,2,7,5]=>[6,4,7,5,2,3,1]
[3,6,4,1,5,2,7]=>[1,4,7,5,2,6,3]
[3,6,4,1,5,7,2]=>[3,4,7,5,2,6,1]
[3,6,4,1,7,2,5]=>[6,4,7,5,2,1,3]
[3,6,4,1,7,5,2]=>[3,4,7,5,2,1,6]
[3,6,4,2,1,5,7]=>[1,4,7,5,3,2,6]
[3,6,4,2,1,7,5]=>[6,4,7,5,3,2,1]
[3,6,4,2,5,1,7]=>[1,4,7,5,3,6,2]
[3,6,4,2,5,7,1]=>[2,4,7,5,3,6,1]
[3,6,4,2,7,1,5]=>[6,4,7,5,3,1,2]
[3,6,4,2,7,5,1]=>[2,4,7,5,3,1,6]
[3,6,4,5,1,2,7]=>[1,4,7,5,6,2,3]
[3,6,4,5,1,7,2]=>[3,4,7,5,6,2,1]
[3,6,4,5,2,1,7]=>[1,4,7,5,6,3,2]
[3,6,4,5,2,7,1]=>[2,4,7,5,6,3,1]
[3,6,4,5,7,1,2]=>[3,4,7,5,6,1,2]
[3,6,4,5,7,2,1]=>[2,4,7,5,6,1,3]
[3,6,4,7,1,2,5]=>[6,4,7,5,1,2,3]
[3,6,4,7,1,5,2]=>[3,4,7,5,1,2,6]
[3,6,4,7,2,1,5]=>[6,4,7,5,1,3,2]
[3,6,4,7,2,5,1]=>[2,4,7,5,1,3,6]
[3,6,4,7,5,1,2]=>[3,4,7,5,1,6,2]
[3,6,4,7,5,2,1]=>[2,4,7,5,1,6,3]
[3,6,5,1,2,4,7]=>[1,4,7,6,2,3,5]
[3,6,5,1,2,7,4]=>[5,4,7,6,2,3,1]
[3,6,5,1,4,2,7]=>[1,4,7,6,2,5,3]
[3,6,5,1,4,7,2]=>[3,4,7,6,2,5,1]
[3,6,5,1,7,2,4]=>[5,4,7,6,2,1,3]
[3,6,5,1,7,4,2]=>[3,4,7,6,2,1,5]
[3,6,5,2,1,4,7]=>[1,4,7,6,3,2,5]
[3,6,5,2,1,7,4]=>[5,4,7,6,3,2,1]
[3,6,5,2,4,1,7]=>[1,4,7,6,3,5,2]
[3,6,5,2,4,7,1]=>[2,4,7,6,3,5,1]
[3,6,5,2,7,1,4]=>[5,4,7,6,3,1,2]
[3,6,5,2,7,4,1]=>[2,4,7,6,3,1,5]
[3,6,5,4,1,2,7]=>[1,4,7,6,5,2,3]
[3,6,5,4,1,7,2]=>[3,4,7,6,5,2,1]
[3,6,5,4,2,1,7]=>[1,4,7,6,5,3,2]
[3,6,5,4,2,7,1]=>[2,4,7,6,5,3,1]
[3,6,5,4,7,1,2]=>[3,4,7,6,5,1,2]
[3,6,5,4,7,2,1]=>[2,4,7,6,5,1,3]
[3,6,5,7,1,2,4]=>[5,4,7,6,1,2,3]
[3,6,5,7,1,4,2]=>[3,4,7,6,1,2,5]
[3,6,5,7,2,1,4]=>[5,4,7,6,1,3,2]
[3,6,5,7,2,4,1]=>[2,4,7,6,1,3,5]
[3,6,5,7,4,1,2]=>[3,4,7,6,1,5,2]
[3,6,5,7,4,2,1]=>[2,4,7,6,1,5,3]
[3,6,7,1,2,4,5]=>[6,4,7,1,2,3,5]
[3,6,7,1,2,5,4]=>[5,4,7,1,2,3,6]
[3,6,7,1,4,2,5]=>[6,4,7,1,2,5,3]
[3,6,7,1,4,5,2]=>[3,4,7,1,2,5,6]
[3,6,7,1,5,2,4]=>[5,4,7,1,2,6,3]
[3,6,7,1,5,4,2]=>[3,4,7,1,2,6,5]
[3,6,7,2,1,4,5]=>[6,4,7,1,3,2,5]
[3,6,7,2,1,5,4]=>[5,4,7,1,3,2,6]
[3,6,7,2,4,1,5]=>[6,4,7,1,3,5,2]
[3,6,7,2,4,5,1]=>[2,4,7,1,3,5,6]
[3,6,7,2,5,1,4]=>[5,4,7,1,3,6,2]
[3,6,7,2,5,4,1]=>[2,4,7,1,3,6,5]
[3,6,7,4,1,2,5]=>[6,4,7,1,5,2,3]
[3,6,7,4,1,5,2]=>[3,4,7,1,5,2,6]
[3,6,7,4,2,1,5]=>[6,4,7,1,5,3,2]
[3,6,7,4,2,5,1]=>[2,4,7,1,5,3,6]
[3,6,7,4,5,1,2]=>[3,4,7,1,5,6,2]
[3,6,7,4,5,2,1]=>[2,4,7,1,5,6,3]
[3,6,7,5,1,2,4]=>[5,4,7,1,6,2,3]
[3,6,7,5,1,4,2]=>[3,4,7,1,6,2,5]
[3,6,7,5,2,1,4]=>[5,4,7,1,6,3,2]
[3,6,7,5,2,4,1]=>[2,4,7,1,6,3,5]
[3,6,7,5,4,1,2]=>[3,4,7,1,6,5,2]
[3,6,7,5,4,2,1]=>[2,4,7,1,6,5,3]
[3,7,1,2,4,5,6]=>[7,4,1,2,3,5,6]
[3,7,1,2,4,6,5]=>[6,4,1,2,3,5,7]
[3,7,1,2,5,4,6]=>[7,4,1,2,3,6,5]
[3,7,1,2,5,6,4]=>[5,4,1,2,3,6,7]
[3,7,1,2,6,4,5]=>[6,4,1,2,3,7,5]
[3,7,1,2,6,5,4]=>[5,4,1,2,3,7,6]
[3,7,1,4,2,5,6]=>[7,4,1,2,5,3,6]
[3,7,1,4,2,6,5]=>[6,4,1,2,5,3,7]
[3,7,1,4,5,2,6]=>[7,4,1,2,5,6,3]
[3,7,1,4,5,6,2]=>[3,4,1,2,5,6,7]
[3,7,1,4,6,2,5]=>[6,4,1,2,5,7,3]
[3,7,1,4,6,5,2]=>[3,4,1,2,5,7,6]
[3,7,1,5,2,4,6]=>[7,4,1,2,6,3,5]
[3,7,1,5,2,6,4]=>[5,4,1,2,6,3,7]
[3,7,1,5,4,2,6]=>[7,4,1,2,6,5,3]
[3,7,1,5,4,6,2]=>[3,4,1,2,6,5,7]
[3,7,1,5,6,2,4]=>[5,4,1,2,6,7,3]
[3,7,1,5,6,4,2]=>[3,4,1,2,6,7,5]
[3,7,1,6,2,4,5]=>[6,4,1,2,7,3,5]
[3,7,1,6,2,5,4]=>[5,4,1,2,7,3,6]
[3,7,1,6,4,2,5]=>[6,4,1,2,7,5,3]
[3,7,1,6,4,5,2]=>[3,4,1,2,7,5,6]
[3,7,1,6,5,2,4]=>[5,4,1,2,7,6,3]
[3,7,1,6,5,4,2]=>[3,4,1,2,7,6,5]
[3,7,2,1,4,5,6]=>[7,4,1,3,2,5,6]
[3,7,2,1,4,6,5]=>[6,4,1,3,2,5,7]
[3,7,2,1,5,4,6]=>[7,4,1,3,2,6,5]
[3,7,2,1,5,6,4]=>[5,4,1,3,2,6,7]
[3,7,2,1,6,4,5]=>[6,4,1,3,2,7,5]
[3,7,2,1,6,5,4]=>[5,4,1,3,2,7,6]
[3,7,2,4,1,5,6]=>[7,4,1,3,5,2,6]
[3,7,2,4,1,6,5]=>[6,4,1,3,5,2,7]
[3,7,2,4,5,1,6]=>[7,4,1,3,5,6,2]
[3,7,2,4,5,6,1]=>[2,4,1,3,5,6,7]
[3,7,2,4,6,1,5]=>[6,4,1,3,5,7,2]
[3,7,2,4,6,5,1]=>[2,4,1,3,5,7,6]
[3,7,2,5,1,4,6]=>[7,4,1,3,6,2,5]
[3,7,2,5,1,6,4]=>[5,4,1,3,6,2,7]
[3,7,2,5,4,1,6]=>[7,4,1,3,6,5,2]
[3,7,2,5,4,6,1]=>[2,4,1,3,6,5,7]
[3,7,2,5,6,1,4]=>[5,4,1,3,6,7,2]
[3,7,2,5,6,4,1]=>[2,4,1,3,6,7,5]
[3,7,2,6,1,4,5]=>[6,4,1,3,7,2,5]
[3,7,2,6,1,5,4]=>[5,4,1,3,7,2,6]
[3,7,2,6,4,1,5]=>[6,4,1,3,7,5,2]
[3,7,2,6,4,5,1]=>[2,4,1,3,7,5,6]
[3,7,2,6,5,1,4]=>[5,4,1,3,7,6,2]
[3,7,2,6,5,4,1]=>[2,4,1,3,7,6,5]
[3,7,4,1,2,5,6]=>[7,4,1,5,2,3,6]
[3,7,4,1,2,6,5]=>[6,4,1,5,2,3,7]
[3,7,4,1,5,2,6]=>[7,4,1,5,2,6,3]
[3,7,4,1,5,6,2]=>[3,4,1,5,2,6,7]
[3,7,4,1,6,2,5]=>[6,4,1,5,2,7,3]
[3,7,4,1,6,5,2]=>[3,4,1,5,2,7,6]
[3,7,4,2,1,5,6]=>[7,4,1,5,3,2,6]
[3,7,4,2,1,6,5]=>[6,4,1,5,3,2,7]
[3,7,4,2,5,1,6]=>[7,4,1,5,3,6,2]
[3,7,4,2,5,6,1]=>[2,4,1,5,3,6,7]
[3,7,4,2,6,1,5]=>[6,4,1,5,3,7,2]
[3,7,4,2,6,5,1]=>[2,4,1,5,3,7,6]
[3,7,4,5,1,2,6]=>[7,4,1,5,6,2,3]
[3,7,4,5,1,6,2]=>[3,4,1,5,6,2,7]
[3,7,4,5,2,1,6]=>[7,4,1,5,6,3,2]
[3,7,4,5,2,6,1]=>[2,4,1,5,6,3,7]
[3,7,4,5,6,1,2]=>[3,4,1,5,6,7,2]
[3,7,4,5,6,2,1]=>[2,4,1,5,6,7,3]
[3,7,4,6,1,2,5]=>[6,4,1,5,7,2,3]
[3,7,4,6,1,5,2]=>[3,4,1,5,7,2,6]
[3,7,4,6,2,1,5]=>[6,4,1,5,7,3,2]
[3,7,4,6,2,5,1]=>[2,4,1,5,7,3,6]
[3,7,4,6,5,1,2]=>[3,4,1,5,7,6,2]
[3,7,4,6,5,2,1]=>[2,4,1,5,7,6,3]
[3,7,5,1,2,4,6]=>[7,4,1,6,2,3,5]
[3,7,5,1,2,6,4]=>[5,4,1,6,2,3,7]
[3,7,5,1,4,2,6]=>[7,4,1,6,2,5,3]
[3,7,5,1,4,6,2]=>[3,4,1,6,2,5,7]
[3,7,5,1,6,2,4]=>[5,4,1,6,2,7,3]
[3,7,5,1,6,4,2]=>[3,4,1,6,2,7,5]
[3,7,5,2,1,4,6]=>[7,4,1,6,3,2,5]
[3,7,5,2,1,6,4]=>[5,4,1,6,3,2,7]
[3,7,5,2,4,1,6]=>[7,4,1,6,3,5,2]
[3,7,5,2,4,6,1]=>[2,4,1,6,3,5,7]
[3,7,5,2,6,1,4]=>[5,4,1,6,3,7,2]
[3,7,5,2,6,4,1]=>[2,4,1,6,3,7,5]
[3,7,5,4,1,2,6]=>[7,4,1,6,5,2,3]
[3,7,5,4,1,6,2]=>[3,4,1,6,5,2,7]
[3,7,5,4,2,1,6]=>[7,4,1,6,5,3,2]
[3,7,5,4,2,6,1]=>[2,4,1,6,5,3,7]
[3,7,5,4,6,1,2]=>[3,4,1,6,5,7,2]
[3,7,5,4,6,2,1]=>[2,4,1,6,5,7,3]
[3,7,5,6,1,2,4]=>[5,4,1,6,7,2,3]
[3,7,5,6,1,4,2]=>[3,4,1,6,7,2,5]
[3,7,5,6,2,1,4]=>[5,4,1,6,7,3,2]
[3,7,5,6,2,4,1]=>[2,4,1,6,7,3,5]
[3,7,5,6,4,1,2]=>[3,4,1,6,7,5,2]
[3,7,5,6,4,2,1]=>[2,4,1,6,7,5,3]
[3,7,6,1,2,4,5]=>[6,4,1,7,2,3,5]
[3,7,6,1,2,5,4]=>[5,4,1,7,2,3,6]
[3,7,6,1,4,2,5]=>[6,4,1,7,2,5,3]
[3,7,6,1,4,5,2]=>[3,4,1,7,2,5,6]
[3,7,6,1,5,2,4]=>[5,4,1,7,2,6,3]
[3,7,6,1,5,4,2]=>[3,4,1,7,2,6,5]
[3,7,6,2,1,4,5]=>[6,4,1,7,3,2,5]
[3,7,6,2,1,5,4]=>[5,4,1,7,3,2,6]
[3,7,6,2,4,1,5]=>[6,4,1,7,3,5,2]
[3,7,6,2,4,5,1]=>[2,4,1,7,3,5,6]
[3,7,6,2,5,1,4]=>[5,4,1,7,3,6,2]
[3,7,6,2,5,4,1]=>[2,4,1,7,3,6,5]
[3,7,6,4,1,2,5]=>[6,4,1,7,5,2,3]
[3,7,6,4,1,5,2]=>[3,4,1,7,5,2,6]
[3,7,6,4,2,1,5]=>[6,4,1,7,5,3,2]
[3,7,6,4,2,5,1]=>[2,4,1,7,5,3,6]
[3,7,6,4,5,1,2]=>[3,4,1,7,5,6,2]
[3,7,6,4,5,2,1]=>[2,4,1,7,5,6,3]
[3,7,6,5,1,2,4]=>[5,4,1,7,6,2,3]
[3,7,6,5,1,4,2]=>[3,4,1,7,6,2,5]
[3,7,6,5,2,1,4]=>[5,4,1,7,6,3,2]
[3,7,6,5,2,4,1]=>[2,4,1,7,6,3,5]
[3,7,6,5,4,1,2]=>[3,4,1,7,6,5,2]
[3,7,6,5,4,2,1]=>[2,4,1,7,6,5,3]
[4,1,2,3,5,6,7]=>[1,5,2,3,4,6,7]
[4,1,2,3,5,7,6]=>[7,5,2,3,4,6,1]
[4,1,2,3,6,5,7]=>[1,5,2,3,4,7,6]
[4,1,2,3,6,7,5]=>[6,5,2,3,4,7,1]
[4,1,2,3,7,5,6]=>[7,5,2,3,4,1,6]
[4,1,2,3,7,6,5]=>[6,5,2,3,4,1,7]
[4,1,2,5,3,6,7]=>[1,5,2,3,6,4,7]
[4,1,2,5,3,7,6]=>[7,5,2,3,6,4,1]
[4,1,2,5,6,3,7]=>[1,5,2,3,6,7,4]
[4,1,2,5,6,7,3]=>[4,5,2,3,6,7,1]
[4,1,2,5,7,3,6]=>[7,5,2,3,6,1,4]
[4,1,2,5,7,6,3]=>[4,5,2,3,6,1,7]
[4,1,2,6,3,5,7]=>[1,5,2,3,7,4,6]
[4,1,2,6,3,7,5]=>[6,5,2,3,7,4,1]
[4,1,2,6,5,3,7]=>[1,5,2,3,7,6,4]
[4,1,2,6,5,7,3]=>[4,5,2,3,7,6,1]
[4,1,2,6,7,3,5]=>[6,5,2,3,7,1,4]
[4,1,2,6,7,5,3]=>[4,5,2,3,7,1,6]
[4,1,2,7,3,5,6]=>[7,5,2,3,1,4,6]
[4,1,2,7,3,6,5]=>[6,5,2,3,1,4,7]
[4,1,2,7,5,3,6]=>[7,5,2,3,1,6,4]
[4,1,2,7,5,6,3]=>[4,5,2,3,1,6,7]
[4,1,2,7,6,3,5]=>[6,5,2,3,1,7,4]
[4,1,2,7,6,5,3]=>[4,5,2,3,1,7,6]
[4,1,3,2,5,6,7]=>[1,5,2,4,3,6,7]
[4,1,3,2,5,7,6]=>[7,5,2,4,3,6,1]
[4,1,3,2,6,5,7]=>[1,5,2,4,3,7,6]
[4,1,3,2,6,7,5]=>[6,5,2,4,3,7,1]
[4,1,3,2,7,5,6]=>[7,5,2,4,3,1,6]
[4,1,3,2,7,6,5]=>[6,5,2,4,3,1,7]
[4,1,3,5,2,6,7]=>[1,5,2,4,6,3,7]
[4,1,3,5,2,7,6]=>[7,5,2,4,6,3,1]
[4,1,3,5,6,2,7]=>[1,5,2,4,6,7,3]
[4,1,3,5,6,7,2]=>[3,5,2,4,6,7,1]
[4,1,3,5,7,2,6]=>[7,5,2,4,6,1,3]
[4,1,3,5,7,6,2]=>[3,5,2,4,6,1,7]
[4,1,3,6,2,5,7]=>[1,5,2,4,7,3,6]
[4,1,3,6,2,7,5]=>[6,5,2,4,7,3,1]
[4,1,3,6,5,2,7]=>[1,5,2,4,7,6,3]
[4,1,3,6,5,7,2]=>[3,5,2,4,7,6,1]
[4,1,3,6,7,2,5]=>[6,5,2,4,7,1,3]
[4,1,3,6,7,5,2]=>[3,5,2,4,7,1,6]
[4,1,3,7,2,5,6]=>[7,5,2,4,1,3,6]
[4,1,3,7,2,6,5]=>[6,5,2,4,1,3,7]
[4,1,3,7,5,2,6]=>[7,5,2,4,1,6,3]
[4,1,3,7,5,6,2]=>[3,5,2,4,1,6,7]
[4,1,3,7,6,2,5]=>[6,5,2,4,1,7,3]
[4,1,3,7,6,5,2]=>[3,5,2,4,1,7,6]
[4,1,5,2,3,6,7]=>[1,5,2,6,3,4,7]
[4,1,5,2,3,7,6]=>[7,5,2,6,3,4,1]
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]
[4,1,5,2,6,7,3]=>[4,5,2,6,3,7,1]
[4,1,5,2,7,3,6]=>[7,5,2,6,3,1,4]
[4,1,5,2,7,6,3]=>[4,5,2,6,3,1,7]
[4,1,5,3,2,6,7]=>[1,5,2,6,4,3,7]
[4,1,5,3,2,7,6]=>[7,5,2,6,4,3,1]
[4,1,5,3,6,2,7]=>[1,5,2,6,4,7,3]
[4,1,5,3,6,7,2]=>[3,5,2,6,4,7,1]
[4,1,5,3,7,2,6]=>[7,5,2,6,4,1,3]
[4,1,5,3,7,6,2]=>[3,5,2,6,4,1,7]
[4,1,5,6,2,3,7]=>[1,5,2,6,7,3,4]
[4,1,5,6,2,7,3]=>[4,5,2,6,7,3,1]
[4,1,5,6,3,2,7]=>[1,5,2,6,7,4,3]
[4,1,5,6,3,7,2]=>[3,5,2,6,7,4,1]
[4,1,5,6,7,2,3]=>[4,5,2,6,7,1,3]
[4,1,5,6,7,3,2]=>[3,5,2,6,7,1,4]
[4,1,5,7,2,3,6]=>[7,5,2,6,1,3,4]
[4,1,5,7,2,6,3]=>[4,5,2,6,1,3,7]
[4,1,5,7,3,2,6]=>[7,5,2,6,1,4,3]
[4,1,5,7,3,6,2]=>[3,5,2,6,1,4,7]
[4,1,5,7,6,2,3]=>[4,5,2,6,1,7,3]
[4,1,5,7,6,3,2]=>[3,5,2,6,1,7,4]
[4,1,6,2,3,5,7]=>[1,5,2,7,3,4,6]
[4,1,6,2,3,7,5]=>[6,5,2,7,3,4,1]
[4,1,6,2,5,3,7]=>[1,5,2,7,3,6,4]
[4,1,6,2,5,7,3]=>[4,5,2,7,3,6,1]
[4,1,6,2,7,3,5]=>[6,5,2,7,3,1,4]
[4,1,6,2,7,5,3]=>[4,5,2,7,3,1,6]
[4,1,6,3,2,5,7]=>[1,5,2,7,4,3,6]
[4,1,6,3,2,7,5]=>[6,5,2,7,4,3,1]
[4,1,6,3,5,2,7]=>[1,5,2,7,4,6,3]
[4,1,6,3,5,7,2]=>[3,5,2,7,4,6,1]
[4,1,6,3,7,2,5]=>[6,5,2,7,4,1,3]
[4,1,6,3,7,5,2]=>[3,5,2,7,4,1,6]
[4,1,6,5,2,3,7]=>[1,5,2,7,6,3,4]
[4,1,6,5,2,7,3]=>[4,5,2,7,6,3,1]
[4,1,6,5,3,2,7]=>[1,5,2,7,6,4,3]
[4,1,6,5,3,7,2]=>[3,5,2,7,6,4,1]
[4,1,6,5,7,2,3]=>[4,5,2,7,6,1,3]
[4,1,6,5,7,3,2]=>[3,5,2,7,6,1,4]
[4,1,6,7,2,3,5]=>[6,5,2,7,1,3,4]
[4,1,6,7,2,5,3]=>[4,5,2,7,1,3,6]
[4,1,6,7,3,2,5]=>[6,5,2,7,1,4,3]
[4,1,6,7,3,5,2]=>[3,5,2,7,1,4,6]
[4,1,6,7,5,2,3]=>[4,5,2,7,1,6,3]
[4,1,6,7,5,3,2]=>[3,5,2,7,1,6,4]
[4,1,7,2,3,5,6]=>[7,5,2,1,3,4,6]
[4,1,7,2,3,6,5]=>[6,5,2,1,3,4,7]
[4,1,7,2,5,3,6]=>[7,5,2,1,3,6,4]
[4,1,7,2,5,6,3]=>[4,5,2,1,3,6,7]
[4,1,7,2,6,3,5]=>[6,5,2,1,3,7,4]
[4,1,7,2,6,5,3]=>[4,5,2,1,3,7,6]
[4,1,7,3,2,5,6]=>[7,5,2,1,4,3,6]
[4,1,7,3,2,6,5]=>[6,5,2,1,4,3,7]
[4,1,7,3,5,2,6]=>[7,5,2,1,4,6,3]
[4,1,7,3,5,6,2]=>[3,5,2,1,4,6,7]
[4,1,7,3,6,2,5]=>[6,5,2,1,4,7,3]
[4,1,7,3,6,5,2]=>[3,5,2,1,4,7,6]
[4,1,7,5,2,3,6]=>[7,5,2,1,6,3,4]
[4,1,7,5,2,6,3]=>[4,5,2,1,6,3,7]
[4,1,7,5,3,2,6]=>[7,5,2,1,6,4,3]
[4,1,7,5,3,6,2]=>[3,5,2,1,6,4,7]
[4,1,7,5,6,2,3]=>[4,5,2,1,6,7,3]
[4,1,7,5,6,3,2]=>[3,5,2,1,6,7,4]
[4,1,7,6,2,3,5]=>[6,5,2,1,7,3,4]
[4,1,7,6,2,5,3]=>[4,5,2,1,7,3,6]
[4,1,7,6,3,2,5]=>[6,5,2,1,7,4,3]
[4,1,7,6,3,5,2]=>[3,5,2,1,7,4,6]
[4,1,7,6,5,2,3]=>[4,5,2,1,7,6,3]
[4,1,7,6,5,3,2]=>[3,5,2,1,7,6,4]
[4,2,1,3,5,6,7]=>[1,5,3,2,4,6,7]
[4,2,1,3,5,7,6]=>[7,5,3,2,4,6,1]
[4,2,1,3,6,5,7]=>[1,5,3,2,4,7,6]
[4,2,1,3,6,7,5]=>[6,5,3,2,4,7,1]
[4,2,1,3,7,5,6]=>[7,5,3,2,4,1,6]
[4,2,1,3,7,6,5]=>[6,5,3,2,4,1,7]
[4,2,1,5,3,6,7]=>[1,5,3,2,6,4,7]
[4,2,1,5,3,7,6]=>[7,5,3,2,6,4,1]
[4,2,1,5,6,3,7]=>[1,5,3,2,6,7,4]
[4,2,1,5,6,7,3]=>[4,5,3,2,6,7,1]
[4,2,1,5,7,3,6]=>[7,5,3,2,6,1,4]
[4,2,1,5,7,6,3]=>[4,5,3,2,6,1,7]
[4,2,1,6,3,5,7]=>[1,5,3,2,7,4,6]
[4,2,1,6,3,7,5]=>[6,5,3,2,7,4,1]
[4,2,1,6,5,3,7]=>[1,5,3,2,7,6,4]
[4,2,1,6,5,7,3]=>[4,5,3,2,7,6,1]
[4,2,1,6,7,3,5]=>[6,5,3,2,7,1,4]
[4,2,1,6,7,5,3]=>[4,5,3,2,7,1,6]
[4,2,1,7,3,5,6]=>[7,5,3,2,1,4,6]
[4,2,1,7,3,6,5]=>[6,5,3,2,1,4,7]
[4,2,1,7,5,3,6]=>[7,5,3,2,1,6,4]
[4,2,1,7,5,6,3]=>[4,5,3,2,1,6,7]
[4,2,1,7,6,3,5]=>[6,5,3,2,1,7,4]
[4,2,1,7,6,5,3]=>[4,5,3,2,1,7,6]
[4,2,3,1,5,6,7]=>[1,5,3,4,2,6,7]
[4,2,3,1,5,7,6]=>[7,5,3,4,2,6,1]
[4,2,3,1,6,5,7]=>[1,5,3,4,2,7,6]
[4,2,3,1,6,7,5]=>[6,5,3,4,2,7,1]
[4,2,3,1,7,5,6]=>[7,5,3,4,2,1,6]
[4,2,3,1,7,6,5]=>[6,5,3,4,2,1,7]
[4,2,3,5,1,6,7]=>[1,5,3,4,6,2,7]
[4,2,3,5,1,7,6]=>[7,5,3,4,6,2,1]
[4,2,3,5,6,1,7]=>[1,5,3,4,6,7,2]
[4,2,3,5,6,7,1]=>[2,5,3,4,6,7,1]
[4,2,3,5,7,1,6]=>[7,5,3,4,6,1,2]
[4,2,3,5,7,6,1]=>[2,5,3,4,6,1,7]
[4,2,3,6,1,5,7]=>[1,5,3,4,7,2,6]
[4,2,3,6,1,7,5]=>[6,5,3,4,7,2,1]
[4,2,3,6,5,1,7]=>[1,5,3,4,7,6,2]
[4,2,3,6,5,7,1]=>[2,5,3,4,7,6,1]
[4,2,3,6,7,1,5]=>[6,5,3,4,7,1,2]
[4,2,3,6,7,5,1]=>[2,5,3,4,7,1,6]
[4,2,3,7,1,5,6]=>[7,5,3,4,1,2,6]
[4,2,3,7,1,6,5]=>[6,5,3,4,1,2,7]
[4,2,3,7,5,1,6]=>[7,5,3,4,1,6,2]
[4,2,3,7,5,6,1]=>[2,5,3,4,1,6,7]
[4,2,3,7,6,1,5]=>[6,5,3,4,1,7,2]
[4,2,3,7,6,5,1]=>[2,5,3,4,1,7,6]
[4,2,5,1,3,6,7]=>[1,5,3,6,2,4,7]
[4,2,5,1,3,7,6]=>[7,5,3,6,2,4,1]
[4,2,5,1,6,3,7]=>[1,5,3,6,2,7,4]
[4,2,5,1,6,7,3]=>[4,5,3,6,2,7,1]
[4,2,5,1,7,3,6]=>[7,5,3,6,2,1,4]
[4,2,5,1,7,6,3]=>[4,5,3,6,2,1,7]
[4,2,5,3,1,6,7]=>[1,5,3,6,4,2,7]
[4,2,5,3,1,7,6]=>[7,5,3,6,4,2,1]
[4,2,5,3,6,1,7]=>[1,5,3,6,4,7,2]
[4,2,5,3,6,7,1]=>[2,5,3,6,4,7,1]
[4,2,5,3,7,1,6]=>[7,5,3,6,4,1,2]
[4,2,5,3,7,6,1]=>[2,5,3,6,4,1,7]
[4,2,5,6,1,3,7]=>[1,5,3,6,7,2,4]
[4,2,5,6,1,7,3]=>[4,5,3,6,7,2,1]
[4,2,5,6,3,1,7]=>[1,5,3,6,7,4,2]
[4,2,5,6,3,7,1]=>[2,5,3,6,7,4,1]
[4,2,5,6,7,1,3]=>[4,5,3,6,7,1,2]
[4,2,5,6,7,3,1]=>[2,5,3,6,7,1,4]
[4,2,5,7,1,3,6]=>[7,5,3,6,1,2,4]
[4,2,5,7,1,6,3]=>[4,5,3,6,1,2,7]
[4,2,5,7,3,1,6]=>[7,5,3,6,1,4,2]
[4,2,5,7,3,6,1]=>[2,5,3,6,1,4,7]
[4,2,5,7,6,1,3]=>[4,5,3,6,1,7,2]
[4,2,5,7,6,3,1]=>[2,5,3,6,1,7,4]
[4,2,6,1,3,5,7]=>[1,5,3,7,2,4,6]
[4,2,6,1,3,7,5]=>[6,5,3,7,2,4,1]
[4,2,6,1,5,3,7]=>[1,5,3,7,2,6,4]
[4,2,6,1,5,7,3]=>[4,5,3,7,2,6,1]
[4,2,6,1,7,3,5]=>[6,5,3,7,2,1,4]
[4,2,6,1,7,5,3]=>[4,5,3,7,2,1,6]
[4,2,6,3,1,5,7]=>[1,5,3,7,4,2,6]
[4,2,6,3,1,7,5]=>[6,5,3,7,4,2,1]
[4,2,6,3,5,1,7]=>[1,5,3,7,4,6,2]
[4,2,6,3,5,7,1]=>[2,5,3,7,4,6,1]
[4,2,6,3,7,1,5]=>[6,5,3,7,4,1,2]
[4,2,6,3,7,5,1]=>[2,5,3,7,4,1,6]
[4,2,6,5,1,3,7]=>[1,5,3,7,6,2,4]
[4,2,6,5,1,7,3]=>[4,5,3,7,6,2,1]
[4,2,6,5,3,1,7]=>[1,5,3,7,6,4,2]
[4,2,6,5,3,7,1]=>[2,5,3,7,6,4,1]
[4,2,6,5,7,1,3]=>[4,5,3,7,6,1,2]
[4,2,6,5,7,3,1]=>[2,5,3,7,6,1,4]
[4,2,6,7,1,3,5]=>[6,5,3,7,1,2,4]
[4,2,6,7,1,5,3]=>[4,5,3,7,1,2,6]
[4,2,6,7,3,1,5]=>[6,5,3,7,1,4,2]
[4,2,6,7,3,5,1]=>[2,5,3,7,1,4,6]
[4,2,6,7,5,1,3]=>[4,5,3,7,1,6,2]
[4,2,6,7,5,3,1]=>[2,5,3,7,1,6,4]
[4,2,7,1,3,5,6]=>[7,5,3,1,2,4,6]
[4,2,7,1,3,6,5]=>[6,5,3,1,2,4,7]
[4,2,7,1,5,3,6]=>[7,5,3,1,2,6,4]
[4,2,7,1,5,6,3]=>[4,5,3,1,2,6,7]
[4,2,7,1,6,3,5]=>[6,5,3,1,2,7,4]
[4,2,7,1,6,5,3]=>[4,5,3,1,2,7,6]
[4,2,7,3,1,5,6]=>[7,5,3,1,4,2,6]
[4,2,7,3,1,6,5]=>[6,5,3,1,4,2,7]
[4,2,7,3,5,1,6]=>[7,5,3,1,4,6,2]
[4,2,7,3,5,6,1]=>[2,5,3,1,4,6,7]
[4,2,7,3,6,1,5]=>[6,5,3,1,4,7,2]
[4,2,7,3,6,5,1]=>[2,5,3,1,4,7,6]
[4,2,7,5,1,3,6]=>[7,5,3,1,6,2,4]
[4,2,7,5,1,6,3]=>[4,5,3,1,6,2,7]
[4,2,7,5,3,1,6]=>[7,5,3,1,6,4,2]
[4,2,7,5,3,6,1]=>[2,5,3,1,6,4,7]
[4,2,7,5,6,1,3]=>[4,5,3,1,6,7,2]
[4,2,7,5,6,3,1]=>[2,5,3,1,6,7,4]
[4,2,7,6,1,3,5]=>[6,5,3,1,7,2,4]
[4,2,7,6,1,5,3]=>[4,5,3,1,7,2,6]
[4,2,7,6,3,1,5]=>[6,5,3,1,7,4,2]
[4,2,7,6,3,5,1]=>[2,5,3,1,7,4,6]
[4,2,7,6,5,1,3]=>[4,5,3,1,7,6,2]
[4,2,7,6,5,3,1]=>[2,5,3,1,7,6,4]
[4,3,1,2,5,6,7]=>[1,5,4,2,3,6,7]
[4,3,1,2,5,7,6]=>[7,5,4,2,3,6,1]
[4,3,1,2,6,5,7]=>[1,5,4,2,3,7,6]
[4,3,1,2,6,7,5]=>[6,5,4,2,3,7,1]
[4,3,1,2,7,5,6]=>[7,5,4,2,3,1,6]
[4,3,1,2,7,6,5]=>[6,5,4,2,3,1,7]
[4,3,1,5,2,6,7]=>[1,5,4,2,6,3,7]
[4,3,1,5,2,7,6]=>[7,5,4,2,6,3,1]
[4,3,1,5,6,2,7]=>[1,5,4,2,6,7,3]
[4,3,1,5,6,7,2]=>[3,5,4,2,6,7,1]
[4,3,1,5,7,2,6]=>[7,5,4,2,6,1,3]
[4,3,1,5,7,6,2]=>[3,5,4,2,6,1,7]
[4,3,1,6,2,5,7]=>[1,5,4,2,7,3,6]
[4,3,1,6,2,7,5]=>[6,5,4,2,7,3,1]
[4,3,1,6,5,2,7]=>[1,5,4,2,7,6,3]
[4,3,1,6,5,7,2]=>[3,5,4,2,7,6,1]
[4,3,1,6,7,2,5]=>[6,5,4,2,7,1,3]
[4,3,1,6,7,5,2]=>[3,5,4,2,7,1,6]
[4,3,1,7,2,5,6]=>[7,5,4,2,1,3,6]
[4,3,1,7,2,6,5]=>[6,5,4,2,1,3,7]
[4,3,1,7,5,2,6]=>[7,5,4,2,1,6,3]
[4,3,1,7,5,6,2]=>[3,5,4,2,1,6,7]
[4,3,1,7,6,2,5]=>[6,5,4,2,1,7,3]
[4,3,1,7,6,5,2]=>[3,5,4,2,1,7,6]
[4,3,2,1,5,6,7]=>[1,5,4,3,2,6,7]
[4,3,2,1,5,7,6]=>[7,5,4,3,2,6,1]
[4,3,2,1,6,5,7]=>[1,5,4,3,2,7,6]
[4,3,2,1,6,7,5]=>[6,5,4,3,2,7,1]
[4,3,2,1,7,5,6]=>[7,5,4,3,2,1,6]
[4,3,2,1,7,6,5]=>[6,5,4,3,2,1,7]
[4,3,2,5,1,6,7]=>[1,5,4,3,6,2,7]
[4,3,2,5,1,7,6]=>[7,5,4,3,6,2,1]
[4,3,2,5,6,1,7]=>[1,5,4,3,6,7,2]
[4,3,2,5,6,7,1]=>[2,5,4,3,6,7,1]
[4,3,2,5,7,1,6]=>[7,5,4,3,6,1,2]
[4,3,2,5,7,6,1]=>[2,5,4,3,6,1,7]
[4,3,2,6,1,5,7]=>[1,5,4,3,7,2,6]
[4,3,2,6,1,7,5]=>[6,5,4,3,7,2,1]
[4,3,2,6,5,1,7]=>[1,5,4,3,7,6,2]
[4,3,2,6,5,7,1]=>[2,5,4,3,7,6,1]
[4,3,2,6,7,1,5]=>[6,5,4,3,7,1,2]
[4,3,2,6,7,5,1]=>[2,5,4,3,7,1,6]
[4,3,2,7,1,5,6]=>[7,5,4,3,1,2,6]
[4,3,2,7,1,6,5]=>[6,5,4,3,1,2,7]
[4,3,2,7,5,1,6]=>[7,5,4,3,1,6,2]
[4,3,2,7,5,6,1]=>[2,5,4,3,1,6,7]
[4,3,2,7,6,1,5]=>[6,5,4,3,1,7,2]
[4,3,2,7,6,5,1]=>[2,5,4,3,1,7,6]
[4,3,5,1,2,6,7]=>[1,5,4,6,2,3,7]
[4,3,5,1,2,7,6]=>[7,5,4,6,2,3,1]
[4,3,5,1,6,2,7]=>[1,5,4,6,2,7,3]
[4,3,5,1,6,7,2]=>[3,5,4,6,2,7,1]
[4,3,5,1,7,2,6]=>[7,5,4,6,2,1,3]
[4,3,5,1,7,6,2]=>[3,5,4,6,2,1,7]
[4,3,5,2,1,6,7]=>[1,5,4,6,3,2,7]
[4,3,5,2,1,7,6]=>[7,5,4,6,3,2,1]
[4,3,5,2,6,1,7]=>[1,5,4,6,3,7,2]
[4,3,5,2,6,7,1]=>[2,5,4,6,3,7,1]
[4,3,5,2,7,1,6]=>[7,5,4,6,3,1,2]
[4,3,5,2,7,6,1]=>[2,5,4,6,3,1,7]
[4,3,5,6,1,2,7]=>[1,5,4,6,7,2,3]
[4,3,5,6,1,7,2]=>[3,5,4,6,7,2,1]
[4,3,5,6,2,1,7]=>[1,5,4,6,7,3,2]
[4,3,5,6,2,7,1]=>[2,5,4,6,7,3,1]
[4,3,5,6,7,1,2]=>[3,5,4,6,7,1,2]
[4,3,5,6,7,2,1]=>[2,5,4,6,7,1,3]
[4,3,5,7,1,2,6]=>[7,5,4,6,1,2,3]
[4,3,5,7,1,6,2]=>[3,5,4,6,1,2,7]
[4,3,5,7,2,1,6]=>[7,5,4,6,1,3,2]
[4,3,5,7,2,6,1]=>[2,5,4,6,1,3,7]
[4,3,5,7,6,1,2]=>[3,5,4,6,1,7,2]
[4,3,5,7,6,2,1]=>[2,5,4,6,1,7,3]
[4,3,6,1,2,5,7]=>[1,5,4,7,2,3,6]
[4,3,6,1,2,7,5]=>[6,5,4,7,2,3,1]
[4,3,6,1,5,2,7]=>[1,5,4,7,2,6,3]
[4,3,6,1,5,7,2]=>[3,5,4,7,2,6,1]
[4,3,6,1,7,2,5]=>[6,5,4,7,2,1,3]
[4,3,6,1,7,5,2]=>[3,5,4,7,2,1,6]
[4,3,6,2,1,5,7]=>[1,5,4,7,3,2,6]
[4,3,6,2,1,7,5]=>[6,5,4,7,3,2,1]
[4,3,6,2,5,1,7]=>[1,5,4,7,3,6,2]
[4,3,6,2,5,7,1]=>[2,5,4,7,3,6,1]
[4,3,6,2,7,1,5]=>[6,5,4,7,3,1,2]
[4,3,6,2,7,5,1]=>[2,5,4,7,3,1,6]
[4,3,6,5,1,2,7]=>[1,5,4,7,6,2,3]
[4,3,6,5,1,7,2]=>[3,5,4,7,6,2,1]
[4,3,6,5,2,1,7]=>[1,5,4,7,6,3,2]
[4,3,6,5,2,7,1]=>[2,5,4,7,6,3,1]
[4,3,6,5,7,1,2]=>[3,5,4,7,6,1,2]
[4,3,6,5,7,2,1]=>[2,5,4,7,6,1,3]
[4,3,6,7,1,2,5]=>[6,5,4,7,1,2,3]
[4,3,6,7,1,5,2]=>[3,5,4,7,1,2,6]
[4,3,6,7,2,1,5]=>[6,5,4,7,1,3,2]
[4,3,6,7,2,5,1]=>[2,5,4,7,1,3,6]
[4,3,6,7,5,1,2]=>[3,5,4,7,1,6,2]
[4,3,6,7,5,2,1]=>[2,5,4,7,1,6,3]
[4,3,7,1,2,5,6]=>[7,5,4,1,2,3,6]
[4,3,7,1,2,6,5]=>[6,5,4,1,2,3,7]
[4,3,7,1,5,2,6]=>[7,5,4,1,2,6,3]
[4,3,7,1,5,6,2]=>[3,5,4,1,2,6,7]
[4,3,7,1,6,2,5]=>[6,5,4,1,2,7,3]
[4,3,7,1,6,5,2]=>[3,5,4,1,2,7,6]
[4,3,7,2,1,5,6]=>[7,5,4,1,3,2,6]
[4,3,7,2,1,6,5]=>[6,5,4,1,3,2,7]
[4,3,7,2,5,1,6]=>[7,5,4,1,3,6,2]
[4,3,7,2,5,6,1]=>[2,5,4,1,3,6,7]
[4,3,7,2,6,1,5]=>[6,5,4,1,3,7,2]
[4,3,7,2,6,5,1]=>[2,5,4,1,3,7,6]
[4,3,7,5,1,2,6]=>[7,5,4,1,6,2,3]
[4,3,7,5,1,6,2]=>[3,5,4,1,6,2,7]
[4,3,7,5,2,1,6]=>[7,5,4,1,6,3,2]
[4,3,7,5,2,6,1]=>[2,5,4,1,6,3,7]
[4,3,7,5,6,1,2]=>[3,5,4,1,6,7,2]
[4,3,7,5,6,2,1]=>[2,5,4,1,6,7,3]
[4,3,7,6,1,2,5]=>[6,5,4,1,7,2,3]
[4,3,7,6,1,5,2]=>[3,5,4,1,7,2,6]
[4,3,7,6,2,1,5]=>[6,5,4,1,7,3,2]
[4,3,7,6,2,5,1]=>[2,5,4,1,7,3,6]
[4,3,7,6,5,1,2]=>[3,5,4,1,7,6,2]
[4,3,7,6,5,2,1]=>[2,5,4,1,7,6,3]
[4,5,1,2,3,6,7]=>[1,5,6,2,3,4,7]
[4,5,1,2,3,7,6]=>[7,5,6,2,3,4,1]
[4,5,1,2,6,3,7]=>[1,5,6,2,3,7,4]
[4,5,1,2,6,7,3]=>[4,5,6,2,3,7,1]
[4,5,1,2,7,3,6]=>[7,5,6,2,3,1,4]
[4,5,1,2,7,6,3]=>[4,5,6,2,3,1,7]
[4,5,1,3,2,6,7]=>[1,5,6,2,4,3,7]
[4,5,1,3,2,7,6]=>[7,5,6,2,4,3,1]
[4,5,1,3,6,2,7]=>[1,5,6,2,4,7,3]
[4,5,1,3,6,7,2]=>[3,5,6,2,4,7,1]
[4,5,1,3,7,2,6]=>[7,5,6,2,4,1,3]
[4,5,1,3,7,6,2]=>[3,5,6,2,4,1,7]
[4,5,1,6,2,3,7]=>[1,5,6,2,7,3,4]
[4,5,1,6,2,7,3]=>[4,5,6,2,7,3,1]
[4,5,1,6,3,2,7]=>[1,5,6,2,7,4,3]
[4,5,1,6,3,7,2]=>[3,5,6,2,7,4,1]
[4,5,1,6,7,2,3]=>[4,5,6,2,7,1,3]
[4,5,1,6,7,3,2]=>[3,5,6,2,7,1,4]
[4,5,1,7,2,3,6]=>[7,5,6,2,1,3,4]
[4,5,1,7,2,6,3]=>[4,5,6,2,1,3,7]
[4,5,1,7,3,2,6]=>[7,5,6,2,1,4,3]
[4,5,1,7,3,6,2]=>[3,5,6,2,1,4,7]
[4,5,1,7,6,2,3]=>[4,5,6,2,1,7,3]
[4,5,1,7,6,3,2]=>[3,5,6,2,1,7,4]
[4,5,2,1,3,6,7]=>[1,5,6,3,2,4,7]
[4,5,2,1,3,7,6]=>[7,5,6,3,2,4,1]
[4,5,2,1,6,3,7]=>[1,5,6,3,2,7,4]
[4,5,2,1,6,7,3]=>[4,5,6,3,2,7,1]
[4,5,2,1,7,3,6]=>[7,5,6,3,2,1,4]
[4,5,2,1,7,6,3]=>[4,5,6,3,2,1,7]
[4,5,2,3,1,6,7]=>[1,5,6,3,4,2,7]
[4,5,2,3,1,7,6]=>[7,5,6,3,4,2,1]
[4,5,2,3,6,1,7]=>[1,5,6,3,4,7,2]
[4,5,2,3,6,7,1]=>[2,5,6,3,4,7,1]
[4,5,2,3,7,1,6]=>[7,5,6,3,4,1,2]
[4,5,2,3,7,6,1]=>[2,5,6,3,4,1,7]
[4,5,2,6,1,3,7]=>[1,5,6,3,7,2,4]
[4,5,2,6,1,7,3]=>[4,5,6,3,7,2,1]
[4,5,2,6,3,1,7]=>[1,5,6,3,7,4,2]
[4,5,2,6,3,7,1]=>[2,5,6,3,7,4,1]
[4,5,2,6,7,1,3]=>[4,5,6,3,7,1,2]
[4,5,2,6,7,3,1]=>[2,5,6,3,7,1,4]
[4,5,2,7,1,3,6]=>[7,5,6,3,1,2,4]
[4,5,2,7,1,6,3]=>[4,5,6,3,1,2,7]
[4,5,2,7,3,1,6]=>[7,5,6,3,1,4,2]
[4,5,2,7,3,6,1]=>[2,5,6,3,1,4,7]
[4,5,2,7,6,1,3]=>[4,5,6,3,1,7,2]
[4,5,2,7,6,3,1]=>[2,5,6,3,1,7,4]
[4,5,3,1,2,6,7]=>[1,5,6,4,2,3,7]
[4,5,3,1,2,7,6]=>[7,5,6,4,2,3,1]
[4,5,3,1,6,2,7]=>[1,5,6,4,2,7,3]
[4,5,3,1,6,7,2]=>[3,5,6,4,2,7,1]
[4,5,3,1,7,2,6]=>[7,5,6,4,2,1,3]
[4,5,3,1,7,6,2]=>[3,5,6,4,2,1,7]
[4,5,3,2,1,6,7]=>[1,5,6,4,3,2,7]
[4,5,3,2,1,7,6]=>[7,5,6,4,3,2,1]
[4,5,3,2,6,1,7]=>[1,5,6,4,3,7,2]
[4,5,3,2,6,7,1]=>[2,5,6,4,3,7,1]
[4,5,3,2,7,1,6]=>[7,5,6,4,3,1,2]
[4,5,3,2,7,6,1]=>[2,5,6,4,3,1,7]
[4,5,3,6,1,2,7]=>[1,5,6,4,7,2,3]
[4,5,3,6,1,7,2]=>[3,5,6,4,7,2,1]
[4,5,3,6,2,1,7]=>[1,5,6,4,7,3,2]
[4,5,3,6,2,7,1]=>[2,5,6,4,7,3,1]
[4,5,3,6,7,1,2]=>[3,5,6,4,7,1,2]
[4,5,3,6,7,2,1]=>[2,5,6,4,7,1,3]
[4,5,3,7,1,2,6]=>[7,5,6,4,1,2,3]
[4,5,3,7,1,6,2]=>[3,5,6,4,1,2,7]
[4,5,3,7,2,1,6]=>[7,5,6,4,1,3,2]
[4,5,3,7,2,6,1]=>[2,5,6,4,1,3,7]
[4,5,3,7,6,1,2]=>[3,5,6,4,1,7,2]
[4,5,3,7,6,2,1]=>[2,5,6,4,1,7,3]
[4,5,6,1,2,3,7]=>[1,5,6,7,2,3,4]
[4,5,6,1,2,7,3]=>[4,5,6,7,2,3,1]
[4,5,6,1,3,2,7]=>[1,5,6,7,2,4,3]
[4,5,6,1,3,7,2]=>[3,5,6,7,2,4,1]
[4,5,6,1,7,2,3]=>[4,5,6,7,2,1,3]
[4,5,6,1,7,3,2]=>[3,5,6,7,2,1,4]
[4,5,6,2,1,3,7]=>[1,5,6,7,3,2,4]
[4,5,6,2,1,7,3]=>[4,5,6,7,3,2,1]
[4,5,6,2,3,1,7]=>[1,5,6,7,3,4,2]
[4,5,6,2,3,7,1]=>[2,5,6,7,3,4,1]
[4,5,6,2,7,1,3]=>[4,5,6,7,3,1,2]
[4,5,6,2,7,3,1]=>[2,5,6,7,3,1,4]
[4,5,6,3,1,2,7]=>[1,5,6,7,4,2,3]
[4,5,6,3,1,7,2]=>[3,5,6,7,4,2,1]
[4,5,6,3,2,1,7]=>[1,5,6,7,4,3,2]
[4,5,6,3,2,7,1]=>[2,5,6,7,4,3,1]
[4,5,6,3,7,1,2]=>[3,5,6,7,4,1,2]
[4,5,6,3,7,2,1]=>[2,5,6,7,4,1,3]
[4,5,6,7,1,2,3]=>[4,5,6,7,1,2,3]
[4,5,6,7,1,3,2]=>[3,5,6,7,1,2,4]
[4,5,6,7,2,1,3]=>[4,5,6,7,1,3,2]
[4,5,6,7,2,3,1]=>[2,5,6,7,1,3,4]
[4,5,6,7,3,1,2]=>[3,5,6,7,1,4,2]
[4,5,6,7,3,2,1]=>[2,5,6,7,1,4,3]
[4,5,7,1,2,3,6]=>[7,5,6,1,2,3,4]
[4,5,7,1,2,6,3]=>[4,5,6,1,2,3,7]
[4,5,7,1,3,2,6]=>[7,5,6,1,2,4,3]
[4,5,7,1,3,6,2]=>[3,5,6,1,2,4,7]
[4,5,7,1,6,2,3]=>[4,5,6,1,2,7,3]
[4,5,7,1,6,3,2]=>[3,5,6,1,2,7,4]
[4,5,7,2,1,3,6]=>[7,5,6,1,3,2,4]
[4,5,7,2,1,6,3]=>[4,5,6,1,3,2,7]
[4,5,7,2,3,1,6]=>[7,5,6,1,3,4,2]
[4,5,7,2,3,6,1]=>[2,5,6,1,3,4,7]
[4,5,7,2,6,1,3]=>[4,5,6,1,3,7,2]
[4,5,7,2,6,3,1]=>[2,5,6,1,3,7,4]
[4,5,7,3,1,2,6]=>[7,5,6,1,4,2,3]
[4,5,7,3,1,6,2]=>[3,5,6,1,4,2,7]
[4,5,7,3,2,1,6]=>[7,5,6,1,4,3,2]
[4,5,7,3,2,6,1]=>[2,5,6,1,4,3,7]
[4,5,7,3,6,1,2]=>[3,5,6,1,4,7,2]
[4,5,7,3,6,2,1]=>[2,5,6,1,4,7,3]
[4,5,7,6,1,2,3]=>[4,5,6,1,7,2,3]
[4,5,7,6,1,3,2]=>[3,5,6,1,7,2,4]
[4,5,7,6,2,1,3]=>[4,5,6,1,7,3,2]
[4,5,7,6,2,3,1]=>[2,5,6,1,7,3,4]
[4,5,7,6,3,1,2]=>[3,5,6,1,7,4,2]
[4,5,7,6,3,2,1]=>[2,5,6,1,7,4,3]
[4,6,1,2,3,5,7]=>[1,5,7,2,3,4,6]
[4,6,1,2,3,7,5]=>[6,5,7,2,3,4,1]
[4,6,1,2,5,3,7]=>[1,5,7,2,3,6,4]
[4,6,1,2,5,7,3]=>[4,5,7,2,3,6,1]
[4,6,1,2,7,3,5]=>[6,5,7,2,3,1,4]
[4,6,1,2,7,5,3]=>[4,5,7,2,3,1,6]
[4,6,1,3,2,5,7]=>[1,5,7,2,4,3,6]
[4,6,1,3,2,7,5]=>[6,5,7,2,4,3,1]
[4,6,1,3,5,2,7]=>[1,5,7,2,4,6,3]
[4,6,1,3,5,7,2]=>[3,5,7,2,4,6,1]
[4,6,1,3,7,2,5]=>[6,5,7,2,4,1,3]
[4,6,1,3,7,5,2]=>[3,5,7,2,4,1,6]
[4,6,1,5,2,3,7]=>[1,5,7,2,6,3,4]
[4,6,1,5,2,7,3]=>[4,5,7,2,6,3,1]
[4,6,1,5,3,2,7]=>[1,5,7,2,6,4,3]
[4,6,1,5,3,7,2]=>[3,5,7,2,6,4,1]
[4,6,1,5,7,2,3]=>[4,5,7,2,6,1,3]
[4,6,1,5,7,3,2]=>[3,5,7,2,6,1,4]
[4,6,1,7,2,3,5]=>[6,5,7,2,1,3,4]
[4,6,1,7,2,5,3]=>[4,5,7,2,1,3,6]
[4,6,1,7,3,2,5]=>[6,5,7,2,1,4,3]
[4,6,1,7,3,5,2]=>[3,5,7,2,1,4,6]
[4,6,1,7,5,2,3]=>[4,5,7,2,1,6,3]
[4,6,1,7,5,3,2]=>[3,5,7,2,1,6,4]
[4,6,2,1,3,5,7]=>[1,5,7,3,2,4,6]
[4,6,2,1,3,7,5]=>[6,5,7,3,2,4,1]
[4,6,2,1,5,3,7]=>[1,5,7,3,2,6,4]
[4,6,2,1,5,7,3]=>[4,5,7,3,2,6,1]
[4,6,2,1,7,3,5]=>[6,5,7,3,2,1,4]
[4,6,2,1,7,5,3]=>[4,5,7,3,2,1,6]
[4,6,2,3,1,5,7]=>[1,5,7,3,4,2,6]
[4,6,2,3,1,7,5]=>[6,5,7,3,4,2,1]
[4,6,2,3,5,1,7]=>[1,5,7,3,4,6,2]
[4,6,2,3,5,7,1]=>[2,5,7,3,4,6,1]
[4,6,2,3,7,1,5]=>[6,5,7,3,4,1,2]
[4,6,2,3,7,5,1]=>[2,5,7,3,4,1,6]
[4,6,2,5,1,3,7]=>[1,5,7,3,6,2,4]
[4,6,2,5,1,7,3]=>[4,5,7,3,6,2,1]
[4,6,2,5,3,1,7]=>[1,5,7,3,6,4,2]
[4,6,2,5,3,7,1]=>[2,5,7,3,6,4,1]
[4,6,2,5,7,1,3]=>[4,5,7,3,6,1,2]
[4,6,2,5,7,3,1]=>[2,5,7,3,6,1,4]
[4,6,2,7,1,3,5]=>[6,5,7,3,1,2,4]
[4,6,2,7,1,5,3]=>[4,5,7,3,1,2,6]
[4,6,2,7,3,1,5]=>[6,5,7,3,1,4,2]
[4,6,2,7,3,5,1]=>[2,5,7,3,1,4,6]
[4,6,2,7,5,1,3]=>[4,5,7,3,1,6,2]
[4,6,2,7,5,3,1]=>[2,5,7,3,1,6,4]
[4,6,3,1,2,5,7]=>[1,5,7,4,2,3,6]
[4,6,3,1,2,7,5]=>[6,5,7,4,2,3,1]
[4,6,3,1,5,2,7]=>[1,5,7,4,2,6,3]
[4,6,3,1,5,7,2]=>[3,5,7,4,2,6,1]
[4,6,3,1,7,2,5]=>[6,5,7,4,2,1,3]
[4,6,3,1,7,5,2]=>[3,5,7,4,2,1,6]
[4,6,3,2,1,5,7]=>[1,5,7,4,3,2,6]
[4,6,3,2,1,7,5]=>[6,5,7,4,3,2,1]
[4,6,3,2,5,1,7]=>[1,5,7,4,3,6,2]
[4,6,3,2,5,7,1]=>[2,5,7,4,3,6,1]
[4,6,3,2,7,1,5]=>[6,5,7,4,3,1,2]
[4,6,3,2,7,5,1]=>[2,5,7,4,3,1,6]
[4,6,3,5,1,2,7]=>[1,5,7,4,6,2,3]
[4,6,3,5,1,7,2]=>[3,5,7,4,6,2,1]
[4,6,3,5,2,1,7]=>[1,5,7,4,6,3,2]
[4,6,3,5,2,7,1]=>[2,5,7,4,6,3,1]
[4,6,3,5,7,1,2]=>[3,5,7,4,6,1,2]
[4,6,3,5,7,2,1]=>[2,5,7,4,6,1,3]
[4,6,3,7,1,2,5]=>[6,5,7,4,1,2,3]
[4,6,3,7,1,5,2]=>[3,5,7,4,1,2,6]
[4,6,3,7,2,1,5]=>[6,5,7,4,1,3,2]
[4,6,3,7,2,5,1]=>[2,5,7,4,1,3,6]
[4,6,3,7,5,1,2]=>[3,5,7,4,1,6,2]
[4,6,3,7,5,2,1]=>[2,5,7,4,1,6,3]
[4,6,5,1,2,3,7]=>[1,5,7,6,2,3,4]
[4,6,5,1,2,7,3]=>[4,5,7,6,2,3,1]
[4,6,5,1,3,2,7]=>[1,5,7,6,2,4,3]
[4,6,5,1,3,7,2]=>[3,5,7,6,2,4,1]
[4,6,5,1,7,2,3]=>[4,5,7,6,2,1,3]
[4,6,5,1,7,3,2]=>[3,5,7,6,2,1,4]
[4,6,5,2,1,3,7]=>[1,5,7,6,3,2,4]
[4,6,5,2,1,7,3]=>[4,5,7,6,3,2,1]
[4,6,5,2,3,1,7]=>[1,5,7,6,3,4,2]
[4,6,5,2,3,7,1]=>[2,5,7,6,3,4,1]
[4,6,5,2,7,1,3]=>[4,5,7,6,3,1,2]
[4,6,5,2,7,3,1]=>[2,5,7,6,3,1,4]
[4,6,5,3,1,2,7]=>[1,5,7,6,4,2,3]
[4,6,5,3,1,7,2]=>[3,5,7,6,4,2,1]
[4,6,5,3,2,1,7]=>[1,5,7,6,4,3,2]
[4,6,5,3,2,7,1]=>[2,5,7,6,4,3,1]
[4,6,5,3,7,1,2]=>[3,5,7,6,4,1,2]
[4,6,5,3,7,2,1]=>[2,5,7,6,4,1,3]
[4,6,5,7,1,2,3]=>[4,5,7,6,1,2,3]
[4,6,5,7,1,3,2]=>[3,5,7,6,1,2,4]
[4,6,5,7,2,1,3]=>[4,5,7,6,1,3,2]
[4,6,5,7,2,3,1]=>[2,5,7,6,1,3,4]
[4,6,5,7,3,1,2]=>[3,5,7,6,1,4,2]
[4,6,5,7,3,2,1]=>[2,5,7,6,1,4,3]
[4,6,7,1,2,3,5]=>[6,5,7,1,2,3,4]
[4,6,7,1,2,5,3]=>[4,5,7,1,2,3,6]
[4,6,7,1,3,2,5]=>[6,5,7,1,2,4,3]
[4,6,7,1,3,5,2]=>[3,5,7,1,2,4,6]
[4,6,7,1,5,2,3]=>[4,5,7,1,2,6,3]
[4,6,7,1,5,3,2]=>[3,5,7,1,2,6,4]
[4,6,7,2,1,3,5]=>[6,5,7,1,3,2,4]
[4,6,7,2,1,5,3]=>[4,5,7,1,3,2,6]
[4,6,7,2,3,1,5]=>[6,5,7,1,3,4,2]
[4,6,7,2,3,5,1]=>[2,5,7,1,3,4,6]
[4,6,7,2,5,1,3]=>[4,5,7,1,3,6,2]
[4,6,7,2,5,3,1]=>[2,5,7,1,3,6,4]
[4,6,7,3,1,2,5]=>[6,5,7,1,4,2,3]
[4,6,7,3,1,5,2]=>[3,5,7,1,4,2,6]
[4,6,7,3,2,1,5]=>[6,5,7,1,4,3,2]
[4,6,7,3,2,5,1]=>[2,5,7,1,4,3,6]
[4,6,7,3,5,1,2]=>[3,5,7,1,4,6,2]
[4,6,7,3,5,2,1]=>[2,5,7,1,4,6,3]
[4,6,7,5,1,2,3]=>[4,5,7,1,6,2,3]
[4,6,7,5,1,3,2]=>[3,5,7,1,6,2,4]
[4,6,7,5,2,1,3]=>[4,5,7,1,6,3,2]
[4,6,7,5,2,3,1]=>[2,5,7,1,6,3,4]
[4,6,7,5,3,1,2]=>[3,5,7,1,6,4,2]
[4,6,7,5,3,2,1]=>[2,5,7,1,6,4,3]
[4,7,1,2,3,5,6]=>[7,5,1,2,3,4,6]
[4,7,1,2,3,6,5]=>[6,5,1,2,3,4,7]
[4,7,1,2,5,3,6]=>[7,5,1,2,3,6,4]
[4,7,1,2,5,6,3]=>[4,5,1,2,3,6,7]
[4,7,1,2,6,3,5]=>[6,5,1,2,3,7,4]
[4,7,1,2,6,5,3]=>[4,5,1,2,3,7,6]
[4,7,1,3,2,5,6]=>[7,5,1,2,4,3,6]
[4,7,1,3,2,6,5]=>[6,5,1,2,4,3,7]
[4,7,1,3,5,2,6]=>[7,5,1,2,4,6,3]
[4,7,1,3,5,6,2]=>[3,5,1,2,4,6,7]
[4,7,1,3,6,2,5]=>[6,5,1,2,4,7,3]
[4,7,1,3,6,5,2]=>[3,5,1,2,4,7,6]
[4,7,1,5,2,3,6]=>[7,5,1,2,6,3,4]
[4,7,1,5,2,6,3]=>[4,5,1,2,6,3,7]
[4,7,1,5,3,2,6]=>[7,5,1,2,6,4,3]
[4,7,1,5,3,6,2]=>[3,5,1,2,6,4,7]
[4,7,1,5,6,2,3]=>[4,5,1,2,6,7,3]
[4,7,1,5,6,3,2]=>[3,5,1,2,6,7,4]
[4,7,1,6,2,3,5]=>[6,5,1,2,7,3,4]
[4,7,1,6,2,5,3]=>[4,5,1,2,7,3,6]
[4,7,1,6,3,2,5]=>[6,5,1,2,7,4,3]
[4,7,1,6,3,5,2]=>[3,5,1,2,7,4,6]
[4,7,1,6,5,2,3]=>[4,5,1,2,7,6,3]
[4,7,1,6,5,3,2]=>[3,5,1,2,7,6,4]
[4,7,2,1,3,5,6]=>[7,5,1,3,2,4,6]
[4,7,2,1,3,6,5]=>[6,5,1,3,2,4,7]
[4,7,2,1,5,3,6]=>[7,5,1,3,2,6,4]
[4,7,2,1,5,6,3]=>[4,5,1,3,2,6,7]
[4,7,2,1,6,3,5]=>[6,5,1,3,2,7,4]
[4,7,2,1,6,5,3]=>[4,5,1,3,2,7,6]
[4,7,2,3,1,5,6]=>[7,5,1,3,4,2,6]
[4,7,2,3,1,6,5]=>[6,5,1,3,4,2,7]
[4,7,2,3,5,1,6]=>[7,5,1,3,4,6,2]
[4,7,2,3,5,6,1]=>[2,5,1,3,4,6,7]
[4,7,2,3,6,1,5]=>[6,5,1,3,4,7,2]
[4,7,2,3,6,5,1]=>[2,5,1,3,4,7,6]
[4,7,2,5,1,3,6]=>[7,5,1,3,6,2,4]
[4,7,2,5,1,6,3]=>[4,5,1,3,6,2,7]
[4,7,2,5,3,1,6]=>[7,5,1,3,6,4,2]
[4,7,2,5,3,6,1]=>[2,5,1,3,6,4,7]
[4,7,2,5,6,1,3]=>[4,5,1,3,6,7,2]
[4,7,2,5,6,3,1]=>[2,5,1,3,6,7,4]
[4,7,2,6,1,3,5]=>[6,5,1,3,7,2,4]
[4,7,2,6,1,5,3]=>[4,5,1,3,7,2,6]
[4,7,2,6,3,1,5]=>[6,5,1,3,7,4,2]
[4,7,2,6,3,5,1]=>[2,5,1,3,7,4,6]
[4,7,2,6,5,1,3]=>[4,5,1,3,7,6,2]
[4,7,2,6,5,3,1]=>[2,5,1,3,7,6,4]
[4,7,3,1,2,5,6]=>[7,5,1,4,2,3,6]
[4,7,3,1,2,6,5]=>[6,5,1,4,2,3,7]
[4,7,3,1,5,2,6]=>[7,5,1,4,2,6,3]
[4,7,3,1,5,6,2]=>[3,5,1,4,2,6,7]
[4,7,3,1,6,2,5]=>[6,5,1,4,2,7,3]
[4,7,3,1,6,5,2]=>[3,5,1,4,2,7,6]
[4,7,3,2,1,5,6]=>[7,5,1,4,3,2,6]
[4,7,3,2,1,6,5]=>[6,5,1,4,3,2,7]
[4,7,3,2,5,1,6]=>[7,5,1,4,3,6,2]
[4,7,3,2,5,6,1]=>[2,5,1,4,3,6,7]
[4,7,3,2,6,1,5]=>[6,5,1,4,3,7,2]
[4,7,3,2,6,5,1]=>[2,5,1,4,3,7,6]
[4,7,3,5,1,2,6]=>[7,5,1,4,6,2,3]
[4,7,3,5,1,6,2]=>[3,5,1,4,6,2,7]
[4,7,3,5,2,1,6]=>[7,5,1,4,6,3,2]
[4,7,3,5,2,6,1]=>[2,5,1,4,6,3,7]
[4,7,3,5,6,1,2]=>[3,5,1,4,6,7,2]
[4,7,3,5,6,2,1]=>[2,5,1,4,6,7,3]
[4,7,3,6,1,2,5]=>[6,5,1,4,7,2,3]
[4,7,3,6,1,5,2]=>[3,5,1,4,7,2,6]
[4,7,3,6,2,1,5]=>[6,5,1,4,7,3,2]
[4,7,3,6,2,5,1]=>[2,5,1,4,7,3,6]
[4,7,3,6,5,1,2]=>[3,5,1,4,7,6,2]
[4,7,3,6,5,2,1]=>[2,5,1,4,7,6,3]
[4,7,5,1,2,3,6]=>[7,5,1,6,2,3,4]
[4,7,5,1,2,6,3]=>[4,5,1,6,2,3,7]
[4,7,5,1,3,2,6]=>[7,5,1,6,2,4,3]
[4,7,5,1,3,6,2]=>[3,5,1,6,2,4,7]
[4,7,5,1,6,2,3]=>[4,5,1,6,2,7,3]
[4,7,5,1,6,3,2]=>[3,5,1,6,2,7,4]
[4,7,5,2,1,3,6]=>[7,5,1,6,3,2,4]
[4,7,5,2,1,6,3]=>[4,5,1,6,3,2,7]
[4,7,5,2,3,1,6]=>[7,5,1,6,3,4,2]
[4,7,5,2,3,6,1]=>[2,5,1,6,3,4,7]
[4,7,5,2,6,1,3]=>[4,5,1,6,3,7,2]
[4,7,5,2,6,3,1]=>[2,5,1,6,3,7,4]
[4,7,5,3,1,2,6]=>[7,5,1,6,4,2,3]
[4,7,5,3,1,6,2]=>[3,5,1,6,4,2,7]
[4,7,5,3,2,1,6]=>[7,5,1,6,4,3,2]
[4,7,5,3,2,6,1]=>[2,5,1,6,4,3,7]
[4,7,5,3,6,1,2]=>[3,5,1,6,4,7,2]
[4,7,5,3,6,2,1]=>[2,5,1,6,4,7,3]
[4,7,5,6,1,2,3]=>[4,5,1,6,7,2,3]
[4,7,5,6,1,3,2]=>[3,5,1,6,7,2,4]
[4,7,5,6,2,1,3]=>[4,5,1,6,7,3,2]
[4,7,5,6,2,3,1]=>[2,5,1,6,7,3,4]
[4,7,5,6,3,1,2]=>[3,5,1,6,7,4,2]
[4,7,5,6,3,2,1]=>[2,5,1,6,7,4,3]
[4,7,6,1,2,3,5]=>[6,5,1,7,2,3,4]
[4,7,6,1,2,5,3]=>[4,5,1,7,2,3,6]
[4,7,6,1,3,2,5]=>[6,5,1,7,2,4,3]
[4,7,6,1,3,5,2]=>[3,5,1,7,2,4,6]
[4,7,6,1,5,2,3]=>[4,5,1,7,2,6,3]
[4,7,6,1,5,3,2]=>[3,5,1,7,2,6,4]
[4,7,6,2,1,3,5]=>[6,5,1,7,3,2,4]
[4,7,6,2,1,5,3]=>[4,5,1,7,3,2,6]
[4,7,6,2,3,1,5]=>[6,5,1,7,3,4,2]
[4,7,6,2,3,5,1]=>[2,5,1,7,3,4,6]
[4,7,6,2,5,1,3]=>[4,5,1,7,3,6,2]
[4,7,6,2,5,3,1]=>[2,5,1,7,3,6,4]
[4,7,6,3,1,2,5]=>[6,5,1,7,4,2,3]
[4,7,6,3,1,5,2]=>[3,5,1,7,4,2,6]
[4,7,6,3,2,1,5]=>[6,5,1,7,4,3,2]
[4,7,6,3,2,5,1]=>[2,5,1,7,4,3,6]
[4,7,6,3,5,1,2]=>[3,5,1,7,4,6,2]
[4,7,6,3,5,2,1]=>[2,5,1,7,4,6,3]
[4,7,6,5,1,2,3]=>[4,5,1,7,6,2,3]
[4,7,6,5,1,3,2]=>[3,5,1,7,6,2,4]
[4,7,6,5,2,1,3]=>[4,5,1,7,6,3,2]
[4,7,6,5,2,3,1]=>[2,5,1,7,6,3,4]
[4,7,6,5,3,1,2]=>[3,5,1,7,6,4,2]
[4,7,6,5,3,2,1]=>[2,5,1,7,6,4,3]
[5,1,2,3,4,6,7]=>[1,6,2,3,4,5,7]
[5,1,2,3,4,7,6]=>[7,6,2,3,4,5,1]
[5,1,2,3,6,4,7]=>[1,6,2,3,4,7,5]
[5,1,2,3,6,7,4]=>[5,6,2,3,4,7,1]
[5,1,2,3,7,4,6]=>[7,6,2,3,4,1,5]
[5,1,2,3,7,6,4]=>[5,6,2,3,4,1,7]
[5,1,2,4,3,6,7]=>[1,6,2,3,5,4,7]
[5,1,2,4,3,7,6]=>[7,6,2,3,5,4,1]
[5,1,2,4,6,3,7]=>[1,6,2,3,5,7,4]
[5,1,2,4,6,7,3]=>[4,6,2,3,5,7,1]
[5,1,2,4,7,3,6]=>[7,6,2,3,5,1,4]
[5,1,2,4,7,6,3]=>[4,6,2,3,5,1,7]
[5,1,2,6,3,4,7]=>[1,6,2,3,7,4,5]
[5,1,2,6,3,7,4]=>[5,6,2,3,7,4,1]
[5,1,2,6,4,3,7]=>[1,6,2,3,7,5,4]
[5,1,2,6,4,7,3]=>[4,6,2,3,7,5,1]
[5,1,2,6,7,3,4]=>[5,6,2,3,7,1,4]
[5,1,2,6,7,4,3]=>[4,6,2,3,7,1,5]
[5,1,2,7,3,4,6]=>[7,6,2,3,1,4,5]
[5,1,2,7,3,6,4]=>[5,6,2,3,1,4,7]
[5,1,2,7,4,3,6]=>[7,6,2,3,1,5,4]
[5,1,2,7,4,6,3]=>[4,6,2,3,1,5,7]
[5,1,2,7,6,3,4]=>[5,6,2,3,1,7,4]
[5,1,2,7,6,4,3]=>[4,6,2,3,1,7,5]
[5,1,3,2,4,6,7]=>[1,6,2,4,3,5,7]
[5,1,3,2,4,7,6]=>[7,6,2,4,3,5,1]
[5,1,3,2,6,4,7]=>[1,6,2,4,3,7,5]
[5,1,3,2,6,7,4]=>[5,6,2,4,3,7,1]
[5,1,3,2,7,4,6]=>[7,6,2,4,3,1,5]
[5,1,3,2,7,6,4]=>[5,6,2,4,3,1,7]
[5,1,3,4,2,6,7]=>[1,6,2,4,5,3,7]
[5,1,3,4,2,7,6]=>[7,6,2,4,5,3,1]
[5,1,3,4,6,2,7]=>[1,6,2,4,5,7,3]
[5,1,3,4,6,7,2]=>[3,6,2,4,5,7,1]
[5,1,3,4,7,2,6]=>[7,6,2,4,5,1,3]
[5,1,3,4,7,6,2]=>[3,6,2,4,5,1,7]
[5,1,3,6,2,4,7]=>[1,6,2,4,7,3,5]
[5,1,3,6,2,7,4]=>[5,6,2,4,7,3,1]
[5,1,3,6,4,2,7]=>[1,6,2,4,7,5,3]
[5,1,3,6,4,7,2]=>[3,6,2,4,7,5,1]
[5,1,3,6,7,2,4]=>[5,6,2,4,7,1,3]
[5,1,3,6,7,4,2]=>[3,6,2,4,7,1,5]
[5,1,3,7,2,4,6]=>[7,6,2,4,1,3,5]
[5,1,3,7,2,6,4]=>[5,6,2,4,1,3,7]
[5,1,3,7,4,2,6]=>[7,6,2,4,1,5,3]
[5,1,3,7,4,6,2]=>[3,6,2,4,1,5,7]
[5,1,3,7,6,2,4]=>[5,6,2,4,1,7,3]
[5,1,3,7,6,4,2]=>[3,6,2,4,1,7,5]
[5,1,4,2,3,6,7]=>[1,6,2,5,3,4,7]
[5,1,4,2,3,7,6]=>[7,6,2,5,3,4,1]
[5,1,4,2,6,3,7]=>[1,6,2,5,3,7,4]
[5,1,4,2,6,7,3]=>[4,6,2,5,3,7,1]
[5,1,4,2,7,3,6]=>[7,6,2,5,3,1,4]
[5,1,4,2,7,6,3]=>[4,6,2,5,3,1,7]
[5,1,4,3,2,6,7]=>[1,6,2,5,4,3,7]
[5,1,4,3,2,7,6]=>[7,6,2,5,4,3,1]
[5,1,4,3,6,2,7]=>[1,6,2,5,4,7,3]
[5,1,4,3,6,7,2]=>[3,6,2,5,4,7,1]
[5,1,4,3,7,2,6]=>[7,6,2,5,4,1,3]
[5,1,4,3,7,6,2]=>[3,6,2,5,4,1,7]
[5,1,4,6,2,3,7]=>[1,6,2,5,7,3,4]
[5,1,4,6,2,7,3]=>[4,6,2,5,7,3,1]
[5,1,4,6,3,2,7]=>[1,6,2,5,7,4,3]
[5,1,4,6,3,7,2]=>[3,6,2,5,7,4,1]
[5,1,4,6,7,2,3]=>[4,6,2,5,7,1,3]
[5,1,4,6,7,3,2]=>[3,6,2,5,7,1,4]
[5,1,4,7,2,3,6]=>[7,6,2,5,1,3,4]
[5,1,4,7,2,6,3]=>[4,6,2,5,1,3,7]
[5,1,4,7,3,2,6]=>[7,6,2,5,1,4,3]
[5,1,4,7,3,6,2]=>[3,6,2,5,1,4,7]
[5,1,4,7,6,2,3]=>[4,6,2,5,1,7,3]
[5,1,4,7,6,3,2]=>[3,6,2,5,1,7,4]
[5,1,6,2,3,4,7]=>[1,6,2,7,3,4,5]
[5,1,6,2,3,7,4]=>[5,6,2,7,3,4,1]
[5,1,6,2,4,3,7]=>[1,6,2,7,3,5,4]
[5,1,6,2,4,7,3]=>[4,6,2,7,3,5,1]
[5,1,6,2,7,3,4]=>[5,6,2,7,3,1,4]
[5,1,6,2,7,4,3]=>[4,6,2,7,3,1,5]
[5,1,6,3,2,4,7]=>[1,6,2,7,4,3,5]
[5,1,6,3,2,7,4]=>[5,6,2,7,4,3,1]
[5,1,6,3,4,2,7]=>[1,6,2,7,4,5,3]
[5,1,6,3,4,7,2]=>[3,6,2,7,4,5,1]
[5,1,6,3,7,2,4]=>[5,6,2,7,4,1,3]
[5,1,6,3,7,4,2]=>[3,6,2,7,4,1,5]
[5,1,6,4,2,3,7]=>[1,6,2,7,5,3,4]
[5,1,6,4,2,7,3]=>[4,6,2,7,5,3,1]
[5,1,6,4,3,2,7]=>[1,6,2,7,5,4,3]
[5,1,6,4,3,7,2]=>[3,6,2,7,5,4,1]
[5,1,6,4,7,2,3]=>[4,6,2,7,5,1,3]
[5,1,6,4,7,3,2]=>[3,6,2,7,5,1,4]
[5,1,6,7,2,3,4]=>[5,6,2,7,1,3,4]
[5,1,6,7,2,4,3]=>[4,6,2,7,1,3,5]
[5,1,6,7,3,2,4]=>[5,6,2,7,1,4,3]
[5,1,6,7,3,4,2]=>[3,6,2,7,1,4,5]
[5,1,6,7,4,2,3]=>[4,6,2,7,1,5,3]
[5,1,6,7,4,3,2]=>[3,6,2,7,1,5,4]
[5,1,7,2,3,4,6]=>[7,6,2,1,3,4,5]
[5,1,7,2,3,6,4]=>[5,6,2,1,3,4,7]
[5,1,7,2,4,3,6]=>[7,6,2,1,3,5,4]
[5,1,7,2,4,6,3]=>[4,6,2,1,3,5,7]
[5,1,7,2,6,3,4]=>[5,6,2,1,3,7,4]
[5,1,7,2,6,4,3]=>[4,6,2,1,3,7,5]
[5,1,7,3,2,4,6]=>[7,6,2,1,4,3,5]
[5,1,7,3,2,6,4]=>[5,6,2,1,4,3,7]
[5,1,7,3,4,2,6]=>[7,6,2,1,4,5,3]
[5,1,7,3,4,6,2]=>[3,6,2,1,4,5,7]
[5,1,7,3,6,2,4]=>[5,6,2,1,4,7,3]
[5,1,7,3,6,4,2]=>[3,6,2,1,4,7,5]
[5,1,7,4,2,3,6]=>[7,6,2,1,5,3,4]
[5,1,7,4,2,6,3]=>[4,6,2,1,5,3,7]
[5,1,7,4,3,2,6]=>[7,6,2,1,5,4,3]
[5,1,7,4,3,6,2]=>[3,6,2,1,5,4,7]
[5,1,7,4,6,2,3]=>[4,6,2,1,5,7,3]
[5,1,7,4,6,3,2]=>[3,6,2,1,5,7,4]
[5,1,7,6,2,3,4]=>[5,6,2,1,7,3,4]
[5,1,7,6,2,4,3]=>[4,6,2,1,7,3,5]
[5,1,7,6,3,2,4]=>[5,6,2,1,7,4,3]
[5,1,7,6,3,4,2]=>[3,6,2,1,7,4,5]
[5,1,7,6,4,2,3]=>[4,6,2,1,7,5,3]
[5,1,7,6,4,3,2]=>[3,6,2,1,7,5,4]
[5,2,1,3,4,6,7]=>[1,6,3,2,4,5,7]
[5,2,1,3,4,7,6]=>[7,6,3,2,4,5,1]
[5,2,1,3,6,4,7]=>[1,6,3,2,4,7,5]
[5,2,1,3,6,7,4]=>[5,6,3,2,4,7,1]
[5,2,1,3,7,4,6]=>[7,6,3,2,4,1,5]
[5,2,1,3,7,6,4]=>[5,6,3,2,4,1,7]
[5,2,1,4,3,6,7]=>[1,6,3,2,5,4,7]
[5,2,1,4,3,7,6]=>[7,6,3,2,5,4,1]
[5,2,1,4,6,3,7]=>[1,6,3,2,5,7,4]
[5,2,1,4,6,7,3]=>[4,6,3,2,5,7,1]
[5,2,1,4,7,3,6]=>[7,6,3,2,5,1,4]
[5,2,1,4,7,6,3]=>[4,6,3,2,5,1,7]
[5,2,1,6,3,4,7]=>[1,6,3,2,7,4,5]
[5,2,1,6,3,7,4]=>[5,6,3,2,7,4,1]
[5,2,1,6,4,3,7]=>[1,6,3,2,7,5,4]
[5,2,1,6,4,7,3]=>[4,6,3,2,7,5,1]
[5,2,1,6,7,3,4]=>[5,6,3,2,7,1,4]
[5,2,1,6,7,4,3]=>[4,6,3,2,7,1,5]
[5,2,1,7,3,4,6]=>[7,6,3,2,1,4,5]
[5,2,1,7,3,6,4]=>[5,6,3,2,1,4,7]
[5,2,1,7,4,3,6]=>[7,6,3,2,1,5,4]
[5,2,1,7,4,6,3]=>[4,6,3,2,1,5,7]
[5,2,1,7,6,3,4]=>[5,6,3,2,1,7,4]
[5,2,1,7,6,4,3]=>[4,6,3,2,1,7,5]
[5,2,3,1,4,6,7]=>[1,6,3,4,2,5,7]
[5,2,3,1,4,7,6]=>[7,6,3,4,2,5,1]
[5,2,3,1,6,4,7]=>[1,6,3,4,2,7,5]
[5,2,3,1,6,7,4]=>[5,6,3,4,2,7,1]
[5,2,3,1,7,4,6]=>[7,6,3,4,2,1,5]
[5,2,3,1,7,6,4]=>[5,6,3,4,2,1,7]
[5,2,3,4,1,6,7]=>[1,6,3,4,5,2,7]
[5,2,3,4,1,7,6]=>[7,6,3,4,5,2,1]
[5,2,3,4,6,1,7]=>[1,6,3,4,5,7,2]
[5,2,3,4,6,7,1]=>[2,6,3,4,5,7,1]
[5,2,3,4,7,1,6]=>[7,6,3,4,5,1,2]
[5,2,3,4,7,6,1]=>[2,6,3,4,5,1,7]
[5,2,3,6,1,4,7]=>[1,6,3,4,7,2,5]
[5,2,3,6,1,7,4]=>[5,6,3,4,7,2,1]
[5,2,3,6,4,1,7]=>[1,6,3,4,7,5,2]
[5,2,3,6,4,7,1]=>[2,6,3,4,7,5,1]
[5,2,3,6,7,1,4]=>[5,6,3,4,7,1,2]
[5,2,3,6,7,4,1]=>[2,6,3,4,7,1,5]
[5,2,3,7,1,4,6]=>[7,6,3,4,1,2,5]
[5,2,3,7,1,6,4]=>[5,6,3,4,1,2,7]
[5,2,3,7,4,1,6]=>[7,6,3,4,1,5,2]
[5,2,3,7,4,6,1]=>[2,6,3,4,1,5,7]
[5,2,3,7,6,1,4]=>[5,6,3,4,1,7,2]
[5,2,3,7,6,4,1]=>[2,6,3,4,1,7,5]
[5,2,4,1,3,6,7]=>[1,6,3,5,2,4,7]
[5,2,4,1,3,7,6]=>[7,6,3,5,2,4,1]
[5,2,4,1,6,3,7]=>[1,6,3,5,2,7,4]
[5,2,4,1,6,7,3]=>[4,6,3,5,2,7,1]
[5,2,4,1,7,3,6]=>[7,6,3,5,2,1,4]
[5,2,4,1,7,6,3]=>[4,6,3,5,2,1,7]
[5,2,4,3,1,6,7]=>[1,6,3,5,4,2,7]
[5,2,4,3,1,7,6]=>[7,6,3,5,4,2,1]
[5,2,4,3,6,1,7]=>[1,6,3,5,4,7,2]
[5,2,4,3,6,7,1]=>[2,6,3,5,4,7,1]
[5,2,4,3,7,1,6]=>[7,6,3,5,4,1,2]
[5,2,4,3,7,6,1]=>[2,6,3,5,4,1,7]
[5,2,4,6,1,3,7]=>[1,6,3,5,7,2,4]
[5,2,4,6,1,7,3]=>[4,6,3,5,7,2,1]
[5,2,4,6,3,1,7]=>[1,6,3,5,7,4,2]
[5,2,4,6,3,7,1]=>[2,6,3,5,7,4,1]
[5,2,4,6,7,1,3]=>[4,6,3,5,7,1,2]
[5,2,4,6,7,3,1]=>[2,6,3,5,7,1,4]
[5,2,4,7,1,3,6]=>[7,6,3,5,1,2,4]
[5,2,4,7,1,6,3]=>[4,6,3,5,1,2,7]
[5,2,4,7,3,1,6]=>[7,6,3,5,1,4,2]
[5,2,4,7,3,6,1]=>[2,6,3,5,1,4,7]
[5,2,4,7,6,1,3]=>[4,6,3,5,1,7,2]
[5,2,4,7,6,3,1]=>[2,6,3,5,1,7,4]
[5,2,6,1,3,4,7]=>[1,6,3,7,2,4,5]
[5,2,6,1,3,7,4]=>[5,6,3,7,2,4,1]
[5,2,6,1,4,3,7]=>[1,6,3,7,2,5,4]
[5,2,6,1,4,7,3]=>[4,6,3,7,2,5,1]
[5,2,6,1,7,3,4]=>[5,6,3,7,2,1,4]
[5,2,6,1,7,4,3]=>[4,6,3,7,2,1,5]
[5,2,6,3,1,4,7]=>[1,6,3,7,4,2,5]
[5,2,6,3,1,7,4]=>[5,6,3,7,4,2,1]
[5,2,6,3,4,1,7]=>[1,6,3,7,4,5,2]
[5,2,6,3,4,7,1]=>[2,6,3,7,4,5,1]
[5,2,6,3,7,1,4]=>[5,6,3,7,4,1,2]
[5,2,6,3,7,4,1]=>[2,6,3,7,4,1,5]
[5,2,6,4,1,3,7]=>[1,6,3,7,5,2,4]
[5,2,6,4,1,7,3]=>[4,6,3,7,5,2,1]
[5,2,6,4,3,1,7]=>[1,6,3,7,5,4,2]
[5,2,6,4,3,7,1]=>[2,6,3,7,5,4,1]
[5,2,6,4,7,1,3]=>[4,6,3,7,5,1,2]
[5,2,6,4,7,3,1]=>[2,6,3,7,5,1,4]
[5,2,6,7,1,3,4]=>[5,6,3,7,1,2,4]
[5,2,6,7,1,4,3]=>[4,6,3,7,1,2,5]
[5,2,6,7,3,1,4]=>[5,6,3,7,1,4,2]
[5,2,6,7,3,4,1]=>[2,6,3,7,1,4,5]
[5,2,6,7,4,1,3]=>[4,6,3,7,1,5,2]
[5,2,6,7,4,3,1]=>[2,6,3,7,1,5,4]
[5,2,7,1,3,4,6]=>[7,6,3,1,2,4,5]
[5,2,7,1,3,6,4]=>[5,6,3,1,2,4,7]
[5,2,7,1,4,3,6]=>[7,6,3,1,2,5,4]
[5,2,7,1,4,6,3]=>[4,6,3,1,2,5,7]
[5,2,7,1,6,3,4]=>[5,6,3,1,2,7,4]
[5,2,7,1,6,4,3]=>[4,6,3,1,2,7,5]
[5,2,7,3,1,4,6]=>[7,6,3,1,4,2,5]
[5,2,7,3,1,6,4]=>[5,6,3,1,4,2,7]
[5,2,7,3,4,1,6]=>[7,6,3,1,4,5,2]
[5,2,7,3,4,6,1]=>[2,6,3,1,4,5,7]
[5,2,7,3,6,1,4]=>[5,6,3,1,4,7,2]
[5,2,7,3,6,4,1]=>[2,6,3,1,4,7,5]
[5,2,7,4,1,3,6]=>[7,6,3,1,5,2,4]
[5,2,7,4,1,6,3]=>[4,6,3,1,5,2,7]
[5,2,7,4,3,1,6]=>[7,6,3,1,5,4,2]
[5,2,7,4,3,6,1]=>[2,6,3,1,5,4,7]
[5,2,7,4,6,1,3]=>[4,6,3,1,5,7,2]
[5,2,7,4,6,3,1]=>[2,6,3,1,5,7,4]
[5,2,7,6,1,3,4]=>[5,6,3,1,7,2,4]
[5,2,7,6,1,4,3]=>[4,6,3,1,7,2,5]
[5,2,7,6,3,1,4]=>[5,6,3,1,7,4,2]
[5,2,7,6,3,4,1]=>[2,6,3,1,7,4,5]
[5,2,7,6,4,1,3]=>[4,6,3,1,7,5,2]
[5,2,7,6,4,3,1]=>[2,6,3,1,7,5,4]
[5,3,1,2,4,6,7]=>[1,6,4,2,3,5,7]
[5,3,1,2,4,7,6]=>[7,6,4,2,3,5,1]
[5,3,1,2,6,4,7]=>[1,6,4,2,3,7,5]
[5,3,1,2,6,7,4]=>[5,6,4,2,3,7,1]
[5,3,1,2,7,4,6]=>[7,6,4,2,3,1,5]
[5,3,1,2,7,6,4]=>[5,6,4,2,3,1,7]
[5,3,1,4,2,6,7]=>[1,6,4,2,5,3,7]
[5,3,1,4,2,7,6]=>[7,6,4,2,5,3,1]
[5,3,1,4,6,2,7]=>[1,6,4,2,5,7,3]
[5,3,1,4,6,7,2]=>[3,6,4,2,5,7,1]
[5,3,1,4,7,2,6]=>[7,6,4,2,5,1,3]
[5,3,1,4,7,6,2]=>[3,6,4,2,5,1,7]
[5,3,1,6,2,4,7]=>[1,6,4,2,7,3,5]
[5,3,1,6,2,7,4]=>[5,6,4,2,7,3,1]
[5,3,1,6,4,2,7]=>[1,6,4,2,7,5,3]
[5,3,1,6,4,7,2]=>[3,6,4,2,7,5,1]
[5,3,1,6,7,2,4]=>[5,6,4,2,7,1,3]
[5,3,1,6,7,4,2]=>[3,6,4,2,7,1,5]
[5,3,1,7,2,4,6]=>[7,6,4,2,1,3,5]
[5,3,1,7,2,6,4]=>[5,6,4,2,1,3,7]
[5,3,1,7,4,2,6]=>[7,6,4,2,1,5,3]
[5,3,1,7,4,6,2]=>[3,6,4,2,1,5,7]
[5,3,1,7,6,2,4]=>[5,6,4,2,1,7,3]
[5,3,1,7,6,4,2]=>[3,6,4,2,1,7,5]
[5,3,2,1,4,6,7]=>[1,6,4,3,2,5,7]
[5,3,2,1,4,7,6]=>[7,6,4,3,2,5,1]
[5,3,2,1,6,4,7]=>[1,6,4,3,2,7,5]
[5,3,2,1,6,7,4]=>[5,6,4,3,2,7,1]
[5,3,2,1,7,4,6]=>[7,6,4,3,2,1,5]
[5,3,2,1,7,6,4]=>[5,6,4,3,2,1,7]
[5,3,2,4,1,6,7]=>[1,6,4,3,5,2,7]
[5,3,2,4,1,7,6]=>[7,6,4,3,5,2,1]
[5,3,2,4,6,1,7]=>[1,6,4,3,5,7,2]
[5,3,2,4,6,7,1]=>[2,6,4,3,5,7,1]
[5,3,2,4,7,1,6]=>[7,6,4,3,5,1,2]
[5,3,2,4,7,6,1]=>[2,6,4,3,5,1,7]
[5,3,2,6,1,4,7]=>[1,6,4,3,7,2,5]
[5,3,2,6,1,7,4]=>[5,6,4,3,7,2,1]
[5,3,2,6,4,1,7]=>[1,6,4,3,7,5,2]
[5,3,2,6,4,7,1]=>[2,6,4,3,7,5,1]
[5,3,2,6,7,1,4]=>[5,6,4,3,7,1,2]
[5,3,2,6,7,4,1]=>[2,6,4,3,7,1,5]
[5,3,2,7,1,4,6]=>[7,6,4,3,1,2,5]
[5,3,2,7,1,6,4]=>[5,6,4,3,1,2,7]
[5,3,2,7,4,1,6]=>[7,6,4,3,1,5,2]
[5,3,2,7,4,6,1]=>[2,6,4,3,1,5,7]
[5,3,2,7,6,1,4]=>[5,6,4,3,1,7,2]
[5,3,2,7,6,4,1]=>[2,6,4,3,1,7,5]
[5,3,4,1,2,6,7]=>[1,6,4,5,2,3,7]
[5,3,4,1,2,7,6]=>[7,6,4,5,2,3,1]
[5,3,4,1,6,2,7]=>[1,6,4,5,2,7,3]
[5,3,4,1,6,7,2]=>[3,6,4,5,2,7,1]
[5,3,4,1,7,2,6]=>[7,6,4,5,2,1,3]
[5,3,4,1,7,6,2]=>[3,6,4,5,2,1,7]
[5,3,4,2,1,6,7]=>[1,6,4,5,3,2,7]
[5,3,4,2,1,7,6]=>[7,6,4,5,3,2,1]
[5,3,4,2,6,1,7]=>[1,6,4,5,3,7,2]
[5,3,4,2,6,7,1]=>[2,6,4,5,3,7,1]
[5,3,4,2,7,1,6]=>[7,6,4,5,3,1,2]
[5,3,4,2,7,6,1]=>[2,6,4,5,3,1,7]
[5,3,4,6,1,2,7]=>[1,6,4,5,7,2,3]
[5,3,4,6,1,7,2]=>[3,6,4,5,7,2,1]
[5,3,4,6,2,1,7]=>[1,6,4,5,7,3,2]
[5,3,4,6,2,7,1]=>[2,6,4,5,7,3,1]
[5,3,4,6,7,1,2]=>[3,6,4,5,7,1,2]
[5,3,4,6,7,2,1]=>[2,6,4,5,7,1,3]
[5,3,4,7,1,2,6]=>[7,6,4,5,1,2,3]
[5,3,4,7,1,6,2]=>[3,6,4,5,1,2,7]
[5,3,4,7,2,1,6]=>[7,6,4,5,1,3,2]
[5,3,4,7,2,6,1]=>[2,6,4,5,1,3,7]
[5,3,4,7,6,1,2]=>[3,6,4,5,1,7,2]
[5,3,4,7,6,2,1]=>[2,6,4,5,1,7,3]
[5,3,6,1,2,4,7]=>[1,6,4,7,2,3,5]
[5,3,6,1,2,7,4]=>[5,6,4,7,2,3,1]
[5,3,6,1,4,2,7]=>[1,6,4,7,2,5,3]
[5,3,6,1,4,7,2]=>[3,6,4,7,2,5,1]
[5,3,6,1,7,2,4]=>[5,6,4,7,2,1,3]
[5,3,6,1,7,4,2]=>[3,6,4,7,2,1,5]
[5,3,6,2,1,4,7]=>[1,6,4,7,3,2,5]
[5,3,6,2,1,7,4]=>[5,6,4,7,3,2,1]
[5,3,6,2,4,1,7]=>[1,6,4,7,3,5,2]
[5,3,6,2,4,7,1]=>[2,6,4,7,3,5,1]
[5,3,6,2,7,1,4]=>[5,6,4,7,3,1,2]
[5,3,6,2,7,4,1]=>[2,6,4,7,3,1,5]
[5,3,6,4,1,2,7]=>[1,6,4,7,5,2,3]
[5,3,6,4,1,7,2]=>[3,6,4,7,5,2,1]
[5,3,6,4,2,1,7]=>[1,6,4,7,5,3,2]
[5,3,6,4,2,7,1]=>[2,6,4,7,5,3,1]
[5,3,6,4,7,1,2]=>[3,6,4,7,5,1,2]
[5,3,6,4,7,2,1]=>[2,6,4,7,5,1,3]
[5,3,6,7,1,2,4]=>[5,6,4,7,1,2,3]
[5,3,6,7,1,4,2]=>[3,6,4,7,1,2,5]
[5,3,6,7,2,1,4]=>[5,6,4,7,1,3,2]
[5,3,6,7,2,4,1]=>[2,6,4,7,1,3,5]
[5,3,6,7,4,1,2]=>[3,6,4,7,1,5,2]
[5,3,6,7,4,2,1]=>[2,6,4,7,1,5,3]
[5,3,7,1,2,4,6]=>[7,6,4,1,2,3,5]
[5,3,7,1,2,6,4]=>[5,6,4,1,2,3,7]
[5,3,7,1,4,2,6]=>[7,6,4,1,2,5,3]
[5,3,7,1,4,6,2]=>[3,6,4,1,2,5,7]
[5,3,7,1,6,2,4]=>[5,6,4,1,2,7,3]
[5,3,7,1,6,4,2]=>[3,6,4,1,2,7,5]
[5,3,7,2,1,4,6]=>[7,6,4,1,3,2,5]
[5,3,7,2,1,6,4]=>[5,6,4,1,3,2,7]
[5,3,7,2,4,1,6]=>[7,6,4,1,3,5,2]
[5,3,7,2,4,6,1]=>[2,6,4,1,3,5,7]
[5,3,7,2,6,1,4]=>[5,6,4,1,3,7,2]
[5,3,7,2,6,4,1]=>[2,6,4,1,3,7,5]
[5,3,7,4,1,2,6]=>[7,6,4,1,5,2,3]
[5,3,7,4,1,6,2]=>[3,6,4,1,5,2,7]
[5,3,7,4,2,1,6]=>[7,6,4,1,5,3,2]
[5,3,7,4,2,6,1]=>[2,6,4,1,5,3,7]
[5,3,7,4,6,1,2]=>[3,6,4,1,5,7,2]
[5,3,7,4,6,2,1]=>[2,6,4,1,5,7,3]
[5,3,7,6,1,2,4]=>[5,6,4,1,7,2,3]
[5,3,7,6,1,4,2]=>[3,6,4,1,7,2,5]
[5,3,7,6,2,1,4]=>[5,6,4,1,7,3,2]
[5,3,7,6,2,4,1]=>[2,6,4,1,7,3,5]
[5,3,7,6,4,1,2]=>[3,6,4,1,7,5,2]
[5,3,7,6,4,2,1]=>[2,6,4,1,7,5,3]
[5,4,1,2,3,6,7]=>[1,6,5,2,3,4,7]
[5,4,1,2,3,7,6]=>[7,6,5,2,3,4,1]
[5,4,1,2,6,3,7]=>[1,6,5,2,3,7,4]
[5,4,1,2,6,7,3]=>[4,6,5,2,3,7,1]
[5,4,1,2,7,3,6]=>[7,6,5,2,3,1,4]
[5,4,1,2,7,6,3]=>[4,6,5,2,3,1,7]
[5,4,1,3,2,6,7]=>[1,6,5,2,4,3,7]
[5,4,1,3,2,7,6]=>[7,6,5,2,4,3,1]
[5,4,1,3,6,2,7]=>[1,6,5,2,4,7,3]
[5,4,1,3,6,7,2]=>[3,6,5,2,4,7,1]
[5,4,1,3,7,2,6]=>[7,6,5,2,4,1,3]
[5,4,1,3,7,6,2]=>[3,6,5,2,4,1,7]
[5,4,1,6,2,3,7]=>[1,6,5,2,7,3,4]
[5,4,1,6,2,7,3]=>[4,6,5,2,7,3,1]
[5,4,1,6,3,2,7]=>[1,6,5,2,7,4,3]
[5,4,1,6,3,7,2]=>[3,6,5,2,7,4,1]
[5,4,1,6,7,2,3]=>[4,6,5,2,7,1,3]
[5,4,1,6,7,3,2]=>[3,6,5,2,7,1,4]
[5,4,1,7,2,3,6]=>[7,6,5,2,1,3,4]
[5,4,1,7,2,6,3]=>[4,6,5,2,1,3,7]
[5,4,1,7,3,2,6]=>[7,6,5,2,1,4,3]
[5,4,1,7,3,6,2]=>[3,6,5,2,1,4,7]
[5,4,1,7,6,2,3]=>[4,6,5,2,1,7,3]
[5,4,1,7,6,3,2]=>[3,6,5,2,1,7,4]
[5,4,2,1,3,6,7]=>[1,6,5,3,2,4,7]
[5,4,2,1,3,7,6]=>[7,6,5,3,2,4,1]
[5,4,2,1,6,3,7]=>[1,6,5,3,2,7,4]
[5,4,2,1,6,7,3]=>[4,6,5,3,2,7,1]
[5,4,2,1,7,3,6]=>[7,6,5,3,2,1,4]
[5,4,2,1,7,6,3]=>[4,6,5,3,2,1,7]
[5,4,2,3,1,6,7]=>[1,6,5,3,4,2,7]
[5,4,2,3,1,7,6]=>[7,6,5,3,4,2,1]
[5,4,2,3,6,1,7]=>[1,6,5,3,4,7,2]
[5,4,2,3,6,7,1]=>[2,6,5,3,4,7,1]
[5,4,2,3,7,1,6]=>[7,6,5,3,4,1,2]
[5,4,2,3,7,6,1]=>[2,6,5,3,4,1,7]
[5,4,2,6,1,3,7]=>[1,6,5,3,7,2,4]
[5,4,2,6,1,7,3]=>[4,6,5,3,7,2,1]
[5,4,2,6,3,1,7]=>[1,6,5,3,7,4,2]
[5,4,2,6,3,7,1]=>[2,6,5,3,7,4,1]
[5,4,2,6,7,1,3]=>[4,6,5,3,7,1,2]
[5,4,2,6,7,3,1]=>[2,6,5,3,7,1,4]
[5,4,2,7,1,3,6]=>[7,6,5,3,1,2,4]
[5,4,2,7,1,6,3]=>[4,6,5,3,1,2,7]
[5,4,2,7,3,1,6]=>[7,6,5,3,1,4,2]
[5,4,2,7,3,6,1]=>[2,6,5,3,1,4,7]
[5,4,2,7,6,1,3]=>[4,6,5,3,1,7,2]
[5,4,2,7,6,3,1]=>[2,6,5,3,1,7,4]
[5,4,3,1,2,6,7]=>[1,6,5,4,2,3,7]
[5,4,3,1,2,7,6]=>[7,6,5,4,2,3,1]
[5,4,3,1,6,2,7]=>[1,6,5,4,2,7,3]
[5,4,3,1,6,7,2]=>[3,6,5,4,2,7,1]
[5,4,3,1,7,2,6]=>[7,6,5,4,2,1,3]
[5,4,3,1,7,6,2]=>[3,6,5,4,2,1,7]
[5,4,3,2,1,6,7]=>[1,6,5,4,3,2,7]
[5,4,3,2,1,7,6]=>[7,6,5,4,3,2,1]
[5,4,3,2,6,1,7]=>[1,6,5,4,3,7,2]
[5,4,3,2,6,7,1]=>[2,6,5,4,3,7,1]
[5,4,3,2,7,1,6]=>[7,6,5,4,3,1,2]
[5,4,3,2,7,6,1]=>[2,6,5,4,3,1,7]
[5,4,3,6,1,2,7]=>[1,6,5,4,7,2,3]
[5,4,3,6,1,7,2]=>[3,6,5,4,7,2,1]
[5,4,3,6,2,1,7]=>[1,6,5,4,7,3,2]
[5,4,3,6,2,7,1]=>[2,6,5,4,7,3,1]
[5,4,3,6,7,1,2]=>[3,6,5,4,7,1,2]
[5,4,3,6,7,2,1]=>[2,6,5,4,7,1,3]
[5,4,3,7,1,2,6]=>[7,6,5,4,1,2,3]
[5,4,3,7,1,6,2]=>[3,6,5,4,1,2,7]
[5,4,3,7,2,1,6]=>[7,6,5,4,1,3,2]
[5,4,3,7,2,6,1]=>[2,6,5,4,1,3,7]
[5,4,3,7,6,1,2]=>[3,6,5,4,1,7,2]
[5,4,3,7,6,2,1]=>[2,6,5,4,1,7,3]
[5,4,6,1,2,3,7]=>[1,6,5,7,2,3,4]
[5,4,6,1,2,7,3]=>[4,6,5,7,2,3,1]
[5,4,6,1,3,2,7]=>[1,6,5,7,2,4,3]
[5,4,6,1,3,7,2]=>[3,6,5,7,2,4,1]
[5,4,6,1,7,2,3]=>[4,6,5,7,2,1,3]
[5,4,6,1,7,3,2]=>[3,6,5,7,2,1,4]
[5,4,6,2,1,3,7]=>[1,6,5,7,3,2,4]
[5,4,6,2,1,7,3]=>[4,6,5,7,3,2,1]
[5,4,6,2,3,1,7]=>[1,6,5,7,3,4,2]
[5,4,6,2,3,7,1]=>[2,6,5,7,3,4,1]
[5,4,6,2,7,1,3]=>[4,6,5,7,3,1,2]
[5,4,6,2,7,3,1]=>[2,6,5,7,3,1,4]
[5,4,6,3,1,2,7]=>[1,6,5,7,4,2,3]
[5,4,6,3,1,7,2]=>[3,6,5,7,4,2,1]
[5,4,6,3,2,1,7]=>[1,6,5,7,4,3,2]
[5,4,6,3,2,7,1]=>[2,6,5,7,4,3,1]
[5,4,6,3,7,1,2]=>[3,6,5,7,4,1,2]
[5,4,6,3,7,2,1]=>[2,6,5,7,4,1,3]
[5,4,6,7,1,2,3]=>[4,6,5,7,1,2,3]
[5,4,6,7,1,3,2]=>[3,6,5,7,1,2,4]
[5,4,6,7,2,1,3]=>[4,6,5,7,1,3,2]
[5,4,6,7,2,3,1]=>[2,6,5,7,1,3,4]
[5,4,6,7,3,1,2]=>[3,6,5,7,1,4,2]
[5,4,6,7,3,2,1]=>[2,6,5,7,1,4,3]
[5,4,7,1,2,3,6]=>[7,6,5,1,2,3,4]
[5,4,7,1,2,6,3]=>[4,6,5,1,2,3,7]
[5,4,7,1,3,2,6]=>[7,6,5,1,2,4,3]
[5,4,7,1,3,6,2]=>[3,6,5,1,2,4,7]
[5,4,7,1,6,2,3]=>[4,6,5,1,2,7,3]
[5,4,7,1,6,3,2]=>[3,6,5,1,2,7,4]
[5,4,7,2,1,3,6]=>[7,6,5,1,3,2,4]
[5,4,7,2,1,6,3]=>[4,6,5,1,3,2,7]
[5,4,7,2,3,1,6]=>[7,6,5,1,3,4,2]
[5,4,7,2,3,6,1]=>[2,6,5,1,3,4,7]
[5,4,7,2,6,1,3]=>[4,6,5,1,3,7,2]
[5,4,7,2,6,3,1]=>[2,6,5,1,3,7,4]
[5,4,7,3,1,2,6]=>[7,6,5,1,4,2,3]
[5,4,7,3,1,6,2]=>[3,6,5,1,4,2,7]
[5,4,7,3,2,1,6]=>[7,6,5,1,4,3,2]
[5,4,7,3,2,6,1]=>[2,6,5,1,4,3,7]
[5,4,7,3,6,1,2]=>[3,6,5,1,4,7,2]
[5,4,7,3,6,2,1]=>[2,6,5,1,4,7,3]
[5,4,7,6,1,2,3]=>[4,6,5,1,7,2,3]
[5,4,7,6,1,3,2]=>[3,6,5,1,7,2,4]
[5,4,7,6,2,1,3]=>[4,6,5,1,7,3,2]
[5,4,7,6,2,3,1]=>[2,6,5,1,7,3,4]
[5,4,7,6,3,1,2]=>[3,6,5,1,7,4,2]
[5,4,7,6,3,2,1]=>[2,6,5,1,7,4,3]
[5,6,1,2,3,4,7]=>[1,6,7,2,3,4,5]
[5,6,1,2,3,7,4]=>[5,6,7,2,3,4,1]
[5,6,1,2,4,3,7]=>[1,6,7,2,3,5,4]
[5,6,1,2,4,7,3]=>[4,6,7,2,3,5,1]
[5,6,1,2,7,3,4]=>[5,6,7,2,3,1,4]
[5,6,1,2,7,4,3]=>[4,6,7,2,3,1,5]
[5,6,1,3,2,4,7]=>[1,6,7,2,4,3,5]
[5,6,1,3,2,7,4]=>[5,6,7,2,4,3,1]
[5,6,1,3,4,2,7]=>[1,6,7,2,4,5,3]
[5,6,1,3,4,7,2]=>[3,6,7,2,4,5,1]
[5,6,1,3,7,2,4]=>[5,6,7,2,4,1,3]
[5,6,1,3,7,4,2]=>[3,6,7,2,4,1,5]
[5,6,1,4,2,3,7]=>[1,6,7,2,5,3,4]
[5,6,1,4,2,7,3]=>[4,6,7,2,5,3,1]
[5,6,1,4,3,2,7]=>[1,6,7,2,5,4,3]
[5,6,1,4,3,7,2]=>[3,6,7,2,5,4,1]
[5,6,1,4,7,2,3]=>[4,6,7,2,5,1,3]
[5,6,1,4,7,3,2]=>[3,6,7,2,5,1,4]
[5,6,1,7,2,3,4]=>[5,6,7,2,1,3,4]
[5,6,1,7,2,4,3]=>[4,6,7,2,1,3,5]
[5,6,1,7,3,2,4]=>[5,6,7,2,1,4,3]
[5,6,1,7,3,4,2]=>[3,6,7,2,1,4,5]
[5,6,1,7,4,2,3]=>[4,6,7,2,1,5,3]
[5,6,1,7,4,3,2]=>[3,6,7,2,1,5,4]
[5,6,2,1,3,4,7]=>[1,6,7,3,2,4,5]
[5,6,2,1,3,7,4]=>[5,6,7,3,2,4,1]
[5,6,2,1,4,3,7]=>[1,6,7,3,2,5,4]
[5,6,2,1,4,7,3]=>[4,6,7,3,2,5,1]
[5,6,2,1,7,3,4]=>[5,6,7,3,2,1,4]
[5,6,2,1,7,4,3]=>[4,6,7,3,2,1,5]
[5,6,2,3,1,4,7]=>[1,6,7,3,4,2,5]
[5,6,2,3,1,7,4]=>[5,6,7,3,4,2,1]
[5,6,2,3,4,1,7]=>[1,6,7,3,4,5,2]
[5,6,2,3,4,7,1]=>[2,6,7,3,4,5,1]
[5,6,2,3,7,1,4]=>[5,6,7,3,4,1,2]
[5,6,2,3,7,4,1]=>[2,6,7,3,4,1,5]
[5,6,2,4,1,3,7]=>[1,6,7,3,5,2,4]
[5,6,2,4,1,7,3]=>[4,6,7,3,5,2,1]
[5,6,2,4,3,1,7]=>[1,6,7,3,5,4,2]
[5,6,2,4,3,7,1]=>[2,6,7,3,5,4,1]
[5,6,2,4,7,1,3]=>[4,6,7,3,5,1,2]
[5,6,2,4,7,3,1]=>[2,6,7,3,5,1,4]
[5,6,2,7,1,3,4]=>[5,6,7,3,1,2,4]
[5,6,2,7,1,4,3]=>[4,6,7,3,1,2,5]
[5,6,2,7,3,1,4]=>[5,6,7,3,1,4,2]
[5,6,2,7,3,4,1]=>[2,6,7,3,1,4,5]
[5,6,2,7,4,1,3]=>[4,6,7,3,1,5,2]
[5,6,2,7,4,3,1]=>[2,6,7,3,1,5,4]
[5,6,3,1,2,4,7]=>[1,6,7,4,2,3,5]
[5,6,3,1,2,7,4]=>[5,6,7,4,2,3,1]
[5,6,3,1,4,2,7]=>[1,6,7,4,2,5,3]
[5,6,3,1,4,7,2]=>[3,6,7,4,2,5,1]
[5,6,3,1,7,2,4]=>[5,6,7,4,2,1,3]
[5,6,3,1,7,4,2]=>[3,6,7,4,2,1,5]
[5,6,3,2,1,4,7]=>[1,6,7,4,3,2,5]
[5,6,3,2,1,7,4]=>[5,6,7,4,3,2,1]
[5,6,3,2,4,1,7]=>[1,6,7,4,3,5,2]
[5,6,3,2,4,7,1]=>[2,6,7,4,3,5,1]
[5,6,3,2,7,1,4]=>[5,6,7,4,3,1,2]
[5,6,3,2,7,4,1]=>[2,6,7,4,3,1,5]
[5,6,3,4,1,2,7]=>[1,6,7,4,5,2,3]
[5,6,3,4,1,7,2]=>[3,6,7,4,5,2,1]
[5,6,3,4,2,1,7]=>[1,6,7,4,5,3,2]
[5,6,3,4,2,7,1]=>[2,6,7,4,5,3,1]
[5,6,3,4,7,1,2]=>[3,6,7,4,5,1,2]
[5,6,3,4,7,2,1]=>[2,6,7,4,5,1,3]
[5,6,3,7,1,2,4]=>[5,6,7,4,1,2,3]
[5,6,3,7,1,4,2]=>[3,6,7,4,1,2,5]
[5,6,3,7,2,1,4]=>[5,6,7,4,1,3,2]
[5,6,3,7,2,4,1]=>[2,6,7,4,1,3,5]
[5,6,3,7,4,1,2]=>[3,6,7,4,1,5,2]
[5,6,3,7,4,2,1]=>[2,6,7,4,1,5,3]
[5,6,4,1,2,3,7]=>[1,6,7,5,2,3,4]
[5,6,4,1,2,7,3]=>[4,6,7,5,2,3,1]
[5,6,4,1,3,2,7]=>[1,6,7,5,2,4,3]
[5,6,4,1,3,7,2]=>[3,6,7,5,2,4,1]
[5,6,4,1,7,2,3]=>[4,6,7,5,2,1,3]
[5,6,4,1,7,3,2]=>[3,6,7,5,2,1,4]
[5,6,4,2,1,3,7]=>[1,6,7,5,3,2,4]
[5,6,4,2,1,7,3]=>[4,6,7,5,3,2,1]
[5,6,4,2,3,1,7]=>[1,6,7,5,3,4,2]
[5,6,4,2,3,7,1]=>[2,6,7,5,3,4,1]
[5,6,4,2,7,1,3]=>[4,6,7,5,3,1,2]
[5,6,4,2,7,3,1]=>[2,6,7,5,3,1,4]
[5,6,4,3,1,2,7]=>[1,6,7,5,4,2,3]
[5,6,4,3,1,7,2]=>[3,6,7,5,4,2,1]
[5,6,4,3,2,1,7]=>[1,6,7,5,4,3,2]
[5,6,4,3,2,7,1]=>[2,6,7,5,4,3,1]
[5,6,4,3,7,1,2]=>[3,6,7,5,4,1,2]
[5,6,4,3,7,2,1]=>[2,6,7,5,4,1,3]
[5,6,4,7,1,2,3]=>[4,6,7,5,1,2,3]
[5,6,4,7,1,3,2]=>[3,6,7,5,1,2,4]
[5,6,4,7,2,1,3]=>[4,6,7,5,1,3,2]
[5,6,4,7,2,3,1]=>[2,6,7,5,1,3,4]
[5,6,4,7,3,1,2]=>[3,6,7,5,1,4,2]
[5,6,4,7,3,2,1]=>[2,6,7,5,1,4,3]
[5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]
[5,6,7,1,2,4,3]=>[4,6,7,1,2,3,5]
[5,6,7,1,3,2,4]=>[5,6,7,1,2,4,3]
[5,6,7,1,3,4,2]=>[3,6,7,1,2,4,5]
[5,6,7,1,4,2,3]=>[4,6,7,1,2,5,3]
[5,6,7,1,4,3,2]=>[3,6,7,1,2,5,4]
[5,6,7,2,1,3,4]=>[5,6,7,1,3,2,4]
[5,6,7,2,1,4,3]=>[4,6,7,1,3,2,5]
[5,6,7,2,3,1,4]=>[5,6,7,1,3,4,2]
[5,6,7,2,3,4,1]=>[2,6,7,1,3,4,5]
[5,6,7,2,4,1,3]=>[4,6,7,1,3,5,2]
[5,6,7,2,4,3,1]=>[2,6,7,1,3,5,4]
[5,6,7,3,1,2,4]=>[5,6,7,1,4,2,3]
[5,6,7,3,1,4,2]=>[3,6,7,1,4,2,5]
[5,6,7,3,2,1,4]=>[5,6,7,1,4,3,2]
[5,6,7,3,2,4,1]=>[2,6,7,1,4,3,5]
[5,6,7,3,4,1,2]=>[3,6,7,1,4,5,2]
[5,6,7,3,4,2,1]=>[2,6,7,1,4,5,3]
[5,6,7,4,1,2,3]=>[4,6,7,1,5,2,3]
[5,6,7,4,1,3,2]=>[3,6,7,1,5,2,4]
[5,6,7,4,2,1,3]=>[4,6,7,1,5,3,2]
[5,6,7,4,2,3,1]=>[2,6,7,1,5,3,4]
[5,6,7,4,3,1,2]=>[3,6,7,1,5,4,2]
[5,6,7,4,3,2,1]=>[2,6,7,1,5,4,3]
[5,7,1,2,3,4,6]=>[7,6,1,2,3,4,5]
[5,7,1,2,3,6,4]=>[5,6,1,2,3,4,7]
[5,7,1,2,4,3,6]=>[7,6,1,2,3,5,4]
[5,7,1,2,4,6,3]=>[4,6,1,2,3,5,7]
[5,7,1,2,6,3,4]=>[5,6,1,2,3,7,4]
[5,7,1,2,6,4,3]=>[4,6,1,2,3,7,5]
[5,7,1,3,2,4,6]=>[7,6,1,2,4,3,5]
[5,7,1,3,2,6,4]=>[5,6,1,2,4,3,7]
[5,7,1,3,4,2,6]=>[7,6,1,2,4,5,3]
[5,7,1,3,4,6,2]=>[3,6,1,2,4,5,7]
[5,7,1,3,6,2,4]=>[5,6,1,2,4,7,3]
[5,7,1,3,6,4,2]=>[3,6,1,2,4,7,5]
[5,7,1,4,2,3,6]=>[7,6,1,2,5,3,4]
[5,7,1,4,2,6,3]=>[4,6,1,2,5,3,7]
[5,7,1,4,3,2,6]=>[7,6,1,2,5,4,3]
[5,7,1,4,3,6,2]=>[3,6,1,2,5,4,7]
[5,7,1,4,6,2,3]=>[4,6,1,2,5,7,3]
[5,7,1,4,6,3,2]=>[3,6,1,2,5,7,4]
[5,7,1,6,2,3,4]=>[5,6,1,2,7,3,4]
[5,7,1,6,2,4,3]=>[4,6,1,2,7,3,5]
[5,7,1,6,3,2,4]=>[5,6,1,2,7,4,3]
[5,7,1,6,3,4,2]=>[3,6,1,2,7,4,5]
[5,7,1,6,4,2,3]=>[4,6,1,2,7,5,3]
[5,7,1,6,4,3,2]=>[3,6,1,2,7,5,4]
[5,7,2,1,3,4,6]=>[7,6,1,3,2,4,5]
[5,7,2,1,3,6,4]=>[5,6,1,3,2,4,7]
[5,7,2,1,4,3,6]=>[7,6,1,3,2,5,4]
[5,7,2,1,4,6,3]=>[4,6,1,3,2,5,7]
[5,7,2,1,6,3,4]=>[5,6,1,3,2,7,4]
[5,7,2,1,6,4,3]=>[4,6,1,3,2,7,5]
[5,7,2,3,1,4,6]=>[7,6,1,3,4,2,5]
[5,7,2,3,1,6,4]=>[5,6,1,3,4,2,7]
[5,7,2,3,4,1,6]=>[7,6,1,3,4,5,2]
[5,7,2,3,4,6,1]=>[2,6,1,3,4,5,7]
[5,7,2,3,6,1,4]=>[5,6,1,3,4,7,2]
[5,7,2,3,6,4,1]=>[2,6,1,3,4,7,5]
[5,7,2,4,1,3,6]=>[7,6,1,3,5,2,4]
[5,7,2,4,1,6,3]=>[4,6,1,3,5,2,7]
[5,7,2,4,3,1,6]=>[7,6,1,3,5,4,2]
[5,7,2,4,3,6,1]=>[2,6,1,3,5,4,7]
[5,7,2,4,6,1,3]=>[4,6,1,3,5,7,2]
[5,7,2,4,6,3,1]=>[2,6,1,3,5,7,4]
[5,7,2,6,1,3,4]=>[5,6,1,3,7,2,4]
[5,7,2,6,1,4,3]=>[4,6,1,3,7,2,5]
[5,7,2,6,3,1,4]=>[5,6,1,3,7,4,2]
[5,7,2,6,3,4,1]=>[2,6,1,3,7,4,5]
[5,7,2,6,4,1,3]=>[4,6,1,3,7,5,2]
[5,7,2,6,4,3,1]=>[2,6,1,3,7,5,4]
[5,7,3,1,2,4,6]=>[7,6,1,4,2,3,5]
[5,7,3,1,2,6,4]=>[5,6,1,4,2,3,7]
[5,7,3,1,4,2,6]=>[7,6,1,4,2,5,3]
[5,7,3,1,4,6,2]=>[3,6,1,4,2,5,7]
[5,7,3,1,6,2,4]=>[5,6,1,4,2,7,3]
[5,7,3,1,6,4,2]=>[3,6,1,4,2,7,5]
[5,7,3,2,1,4,6]=>[7,6,1,4,3,2,5]
[5,7,3,2,1,6,4]=>[5,6,1,4,3,2,7]
[5,7,3,2,4,1,6]=>[7,6,1,4,3,5,2]
[5,7,3,2,4,6,1]=>[2,6,1,4,3,5,7]
[5,7,3,2,6,1,4]=>[5,6,1,4,3,7,2]
[5,7,3,2,6,4,1]=>[2,6,1,4,3,7,5]
[5,7,3,4,1,2,6]=>[7,6,1,4,5,2,3]
[5,7,3,4,1,6,2]=>[3,6,1,4,5,2,7]
[5,7,3,4,2,1,6]=>[7,6,1,4,5,3,2]
[5,7,3,4,2,6,1]=>[2,6,1,4,5,3,7]
[5,7,3,4,6,1,2]=>[3,6,1,4,5,7,2]
[5,7,3,4,6,2,1]=>[2,6,1,4,5,7,3]
[5,7,3,6,1,2,4]=>[5,6,1,4,7,2,3]
[5,7,3,6,1,4,2]=>[3,6,1,4,7,2,5]
[5,7,3,6,2,1,4]=>[5,6,1,4,7,3,2]
[5,7,3,6,2,4,1]=>[2,6,1,4,7,3,5]
[5,7,3,6,4,1,2]=>[3,6,1,4,7,5,2]
[5,7,3,6,4,2,1]=>[2,6,1,4,7,5,3]
[5,7,4,1,2,3,6]=>[7,6,1,5,2,3,4]
[5,7,4,1,2,6,3]=>[4,6,1,5,2,3,7]
[5,7,4,1,3,2,6]=>[7,6,1,5,2,4,3]
[5,7,4,1,3,6,2]=>[3,6,1,5,2,4,7]
[5,7,4,1,6,2,3]=>[4,6,1,5,2,7,3]
[5,7,4,1,6,3,2]=>[3,6,1,5,2,7,4]
[5,7,4,2,1,3,6]=>[7,6,1,5,3,2,4]
[5,7,4,2,1,6,3]=>[4,6,1,5,3,2,7]
[5,7,4,2,3,1,6]=>[7,6,1,5,3,4,2]
[5,7,4,2,3,6,1]=>[2,6,1,5,3,4,7]
[5,7,4,2,6,1,3]=>[4,6,1,5,3,7,2]
[5,7,4,2,6,3,1]=>[2,6,1,5,3,7,4]
[5,7,4,3,1,2,6]=>[7,6,1,5,4,2,3]
[5,7,4,3,1,6,2]=>[3,6,1,5,4,2,7]
[5,7,4,3,2,1,6]=>[7,6,1,5,4,3,2]
[5,7,4,3,2,6,1]=>[2,6,1,5,4,3,7]
[5,7,4,3,6,1,2]=>[3,6,1,5,4,7,2]
[5,7,4,3,6,2,1]=>[2,6,1,5,4,7,3]
[5,7,4,6,1,2,3]=>[4,6,1,5,7,2,3]
[5,7,4,6,1,3,2]=>[3,6,1,5,7,2,4]
[5,7,4,6,2,1,3]=>[4,6,1,5,7,3,2]
[5,7,4,6,2,3,1]=>[2,6,1,5,7,3,4]
[5,7,4,6,3,1,2]=>[3,6,1,5,7,4,2]
[5,7,4,6,3,2,1]=>[2,6,1,5,7,4,3]
[5,7,6,1,2,3,4]=>[5,6,1,7,2,3,4]
[5,7,6,1,2,4,3]=>[4,6,1,7,2,3,5]
[5,7,6,1,3,2,4]=>[5,6,1,7,2,4,3]
[5,7,6,1,3,4,2]=>[3,6,1,7,2,4,5]
[5,7,6,1,4,2,3]=>[4,6,1,7,2,5,3]
[5,7,6,1,4,3,2]=>[3,6,1,7,2,5,4]
[5,7,6,2,1,3,4]=>[5,6,1,7,3,2,4]
[5,7,6,2,1,4,3]=>[4,6,1,7,3,2,5]
[5,7,6,2,3,1,4]=>[5,6,1,7,3,4,2]
[5,7,6,2,3,4,1]=>[2,6,1,7,3,4,5]
[5,7,6,2,4,1,3]=>[4,6,1,7,3,5,2]
[5,7,6,2,4,3,1]=>[2,6,1,7,3,5,4]
[5,7,6,3,1,2,4]=>[5,6,1,7,4,2,3]
[5,7,6,3,1,4,2]=>[3,6,1,7,4,2,5]
[5,7,6,3,2,1,4]=>[5,6,1,7,4,3,2]
[5,7,6,3,2,4,1]=>[2,6,1,7,4,3,5]
[5,7,6,3,4,1,2]=>[3,6,1,7,4,5,2]
[5,7,6,3,4,2,1]=>[2,6,1,7,4,5,3]
[5,7,6,4,1,2,3]=>[4,6,1,7,5,2,3]
[5,7,6,4,1,3,2]=>[3,6,1,7,5,2,4]
[5,7,6,4,2,1,3]=>[4,6,1,7,5,3,2]
[5,7,6,4,2,3,1]=>[2,6,1,7,5,3,4]
[5,7,6,4,3,1,2]=>[3,6,1,7,5,4,2]
[5,7,6,4,3,2,1]=>[2,6,1,7,5,4,3]
[6,1,2,3,4,5,7]=>[1,7,2,3,4,5,6]
[6,1,2,3,4,7,5]=>[6,7,2,3,4,5,1]
[6,1,2,3,5,4,7]=>[1,7,2,3,4,6,5]
[6,1,2,3,5,7,4]=>[5,7,2,3,4,6,1]
[6,1,2,3,7,4,5]=>[6,7,2,3,4,1,5]
[6,1,2,3,7,5,4]=>[5,7,2,3,4,1,6]
[6,1,2,4,3,5,7]=>[1,7,2,3,5,4,6]
[6,1,2,4,3,7,5]=>[6,7,2,3,5,4,1]
[6,1,2,4,5,3,7]=>[1,7,2,3,5,6,4]
[6,1,2,4,5,7,3]=>[4,7,2,3,5,6,1]
[6,1,2,4,7,3,5]=>[6,7,2,3,5,1,4]
[6,1,2,4,7,5,3]=>[4,7,2,3,5,1,6]
[6,1,2,5,3,4,7]=>[1,7,2,3,6,4,5]
[6,1,2,5,3,7,4]=>[5,7,2,3,6,4,1]
[6,1,2,5,4,3,7]=>[1,7,2,3,6,5,4]
[6,1,2,5,4,7,3]=>[4,7,2,3,6,5,1]
[6,1,2,5,7,3,4]=>[5,7,2,3,6,1,4]
[6,1,2,5,7,4,3]=>[4,7,2,3,6,1,5]
[6,1,2,7,3,4,5]=>[6,7,2,3,1,4,5]
[6,1,2,7,3,5,4]=>[5,7,2,3,1,4,6]
[6,1,2,7,4,3,5]=>[6,7,2,3,1,5,4]
[6,1,2,7,4,5,3]=>[4,7,2,3,1,5,6]
[6,1,2,7,5,3,4]=>[5,7,2,3,1,6,4]
[6,1,2,7,5,4,3]=>[4,7,2,3,1,6,5]
[6,1,3,2,4,5,7]=>[1,7,2,4,3,5,6]
[6,1,3,2,4,7,5]=>[6,7,2,4,3,5,1]
[6,1,3,2,5,4,7]=>[1,7,2,4,3,6,5]
[6,1,3,2,5,7,4]=>[5,7,2,4,3,6,1]
[6,1,3,2,7,4,5]=>[6,7,2,4,3,1,5]
[6,1,3,2,7,5,4]=>[5,7,2,4,3,1,6]
[6,1,3,4,2,5,7]=>[1,7,2,4,5,3,6]
[6,1,3,4,2,7,5]=>[6,7,2,4,5,3,1]
[6,1,3,4,5,2,7]=>[1,7,2,4,5,6,3]
[6,1,3,4,5,7,2]=>[3,7,2,4,5,6,1]
[6,1,3,4,7,2,5]=>[6,7,2,4,5,1,3]
[6,1,3,4,7,5,2]=>[3,7,2,4,5,1,6]
[6,1,3,5,2,4,7]=>[1,7,2,4,6,3,5]
[6,1,3,5,2,7,4]=>[5,7,2,4,6,3,1]
[6,1,3,5,4,2,7]=>[1,7,2,4,6,5,3]
[6,1,3,5,4,7,2]=>[3,7,2,4,6,5,1]
[6,1,3,5,7,2,4]=>[5,7,2,4,6,1,3]
[6,1,3,5,7,4,2]=>[3,7,2,4,6,1,5]
[6,1,3,7,2,4,5]=>[6,7,2,4,1,3,5]
[6,1,3,7,2,5,4]=>[5,7,2,4,1,3,6]
[6,1,3,7,4,2,5]=>[6,7,2,4,1,5,3]
[6,1,3,7,4,5,2]=>[3,7,2,4,1,5,6]
[6,1,3,7,5,2,4]=>[5,7,2,4,1,6,3]
[6,1,3,7,5,4,2]=>[3,7,2,4,1,6,5]
[6,1,4,2,3,5,7]=>[1,7,2,5,3,4,6]
[6,1,4,2,3,7,5]=>[6,7,2,5,3,4,1]
[6,1,4,2,5,3,7]=>[1,7,2,5,3,6,4]
[6,1,4,2,5,7,3]=>[4,7,2,5,3,6,1]
[6,1,4,2,7,3,5]=>[6,7,2,5,3,1,4]
[6,1,4,2,7,5,3]=>[4,7,2,5,3,1,6]
[6,1,4,3,2,5,7]=>[1,7,2,5,4,3,6]
[6,1,4,3,2,7,5]=>[6,7,2,5,4,3,1]
[6,1,4,3,5,2,7]=>[1,7,2,5,4,6,3]
[6,1,4,3,5,7,2]=>[3,7,2,5,4,6,1]
[6,1,4,3,7,2,5]=>[6,7,2,5,4,1,3]
[6,1,4,3,7,5,2]=>[3,7,2,5,4,1,6]
[6,1,4,5,2,3,7]=>[1,7,2,5,6,3,4]
[6,1,4,5,2,7,3]=>[4,7,2,5,6,3,1]
[6,1,4,5,3,2,7]=>[1,7,2,5,6,4,3]
[6,1,4,5,3,7,2]=>[3,7,2,5,6,4,1]
[6,1,4,5,7,2,3]=>[4,7,2,5,6,1,3]
[6,1,4,5,7,3,2]=>[3,7,2,5,6,1,4]
[6,1,4,7,2,3,5]=>[6,7,2,5,1,3,4]
[6,1,4,7,2,5,3]=>[4,7,2,5,1,3,6]
[6,1,4,7,3,2,5]=>[6,7,2,5,1,4,3]
[6,1,4,7,3,5,2]=>[3,7,2,5,1,4,6]
[6,1,4,7,5,2,3]=>[4,7,2,5,1,6,3]
[6,1,4,7,5,3,2]=>[3,7,2,5,1,6,4]
[6,1,5,2,3,4,7]=>[1,7,2,6,3,4,5]
[6,1,5,2,3,7,4]=>[5,7,2,6,3,4,1]
[6,1,5,2,4,3,7]=>[1,7,2,6,3,5,4]
[6,1,5,2,4,7,3]=>[4,7,2,6,3,5,1]
[6,1,5,2,7,3,4]=>[5,7,2,6,3,1,4]
[6,1,5,2,7,4,3]=>[4,7,2,6,3,1,5]
[6,1,5,3,2,4,7]=>[1,7,2,6,4,3,5]
[6,1,5,3,2,7,4]=>[5,7,2,6,4,3,1]
[6,1,5,3,4,2,7]=>[1,7,2,6,4,5,3]
[6,1,5,3,4,7,2]=>[3,7,2,6,4,5,1]
[6,1,5,3,7,2,4]=>[5,7,2,6,4,1,3]
[6,1,5,3,7,4,2]=>[3,7,2,6,4,1,5]
[6,1,5,4,2,3,7]=>[1,7,2,6,5,3,4]
[6,1,5,4,2,7,3]=>[4,7,2,6,5,3,1]
[6,1,5,4,3,2,7]=>[1,7,2,6,5,4,3]
[6,1,5,4,3,7,2]=>[3,7,2,6,5,4,1]
[6,1,5,4,7,2,3]=>[4,7,2,6,5,1,3]
[6,1,5,4,7,3,2]=>[3,7,2,6,5,1,4]
[6,1,5,7,2,3,4]=>[5,7,2,6,1,3,4]
[6,1,5,7,2,4,3]=>[4,7,2,6,1,3,5]
[6,1,5,7,3,2,4]=>[5,7,2,6,1,4,3]
[6,1,5,7,3,4,2]=>[3,7,2,6,1,4,5]
[6,1,5,7,4,2,3]=>[4,7,2,6,1,5,3]
[6,1,5,7,4,3,2]=>[3,7,2,6,1,5,4]
[6,1,7,2,3,4,5]=>[6,7,2,1,3,4,5]
[6,1,7,2,3,5,4]=>[5,7,2,1,3,4,6]
[6,1,7,2,4,3,5]=>[6,7,2,1,3,5,4]
[6,1,7,2,4,5,3]=>[4,7,2,1,3,5,6]
[6,1,7,2,5,3,4]=>[5,7,2,1,3,6,4]
[6,1,7,2,5,4,3]=>[4,7,2,1,3,6,5]
[6,1,7,3,2,4,5]=>[6,7,2,1,4,3,5]
[6,1,7,3,2,5,4]=>[5,7,2,1,4,3,6]
[6,1,7,3,4,2,5]=>[6,7,2,1,4,5,3]
[6,1,7,3,4,5,2]=>[3,7,2,1,4,5,6]
[6,1,7,3,5,2,4]=>[5,7,2,1,4,6,3]
[6,1,7,3,5,4,2]=>[3,7,2,1,4,6,5]
[6,1,7,4,2,3,5]=>[6,7,2,1,5,3,4]
[6,1,7,4,2,5,3]=>[4,7,2,1,5,3,6]
[6,1,7,4,3,2,5]=>[6,7,2,1,5,4,3]
[6,1,7,4,3,5,2]=>[3,7,2,1,5,4,6]
[6,1,7,4,5,2,3]=>[4,7,2,1,5,6,3]
[6,1,7,4,5,3,2]=>[3,7,2,1,5,6,4]
[6,1,7,5,2,3,4]=>[5,7,2,1,6,3,4]
[6,1,7,5,2,4,3]=>[4,7,2,1,6,3,5]
[6,1,7,5,3,2,4]=>[5,7,2,1,6,4,3]
[6,1,7,5,3,4,2]=>[3,7,2,1,6,4,5]
[6,1,7,5,4,2,3]=>[4,7,2,1,6,5,3]
[6,1,7,5,4,3,2]=>[3,7,2,1,6,5,4]
[6,2,1,3,4,5,7]=>[1,7,3,2,4,5,6]
[6,2,1,3,4,7,5]=>[6,7,3,2,4,5,1]
[6,2,1,3,5,4,7]=>[1,7,3,2,4,6,5]
[6,2,1,3,5,7,4]=>[5,7,3,2,4,6,1]
[6,2,1,3,7,4,5]=>[6,7,3,2,4,1,5]
[6,2,1,3,7,5,4]=>[5,7,3,2,4,1,6]
[6,2,1,4,3,5,7]=>[1,7,3,2,5,4,6]
[6,2,1,4,3,7,5]=>[6,7,3,2,5,4,1]
[6,2,1,4,5,3,7]=>[1,7,3,2,5,6,4]
[6,2,1,4,5,7,3]=>[4,7,3,2,5,6,1]
[6,2,1,4,7,3,5]=>[6,7,3,2,5,1,4]
[6,2,1,4,7,5,3]=>[4,7,3,2,5,1,6]
[6,2,1,5,3,4,7]=>[1,7,3,2,6,4,5]
[6,2,1,5,3,7,4]=>[5,7,3,2,6,4,1]
[6,2,1,5,4,3,7]=>[1,7,3,2,6,5,4]
[6,2,1,5,4,7,3]=>[4,7,3,2,6,5,1]
[6,2,1,5,7,3,4]=>[5,7,3,2,6,1,4]
[6,2,1,5,7,4,3]=>[4,7,3,2,6,1,5]
[6,2,1,7,3,4,5]=>[6,7,3,2,1,4,5]
[6,2,1,7,3,5,4]=>[5,7,3,2,1,4,6]
[6,2,1,7,4,3,5]=>[6,7,3,2,1,5,4]
[6,2,1,7,4,5,3]=>[4,7,3,2,1,5,6]
[6,2,1,7,5,3,4]=>[5,7,3,2,1,6,4]
[6,2,1,7,5,4,3]=>[4,7,3,2,1,6,5]
[6,2,3,1,4,5,7]=>[1,7,3,4,2,5,6]
[6,2,3,1,4,7,5]=>[6,7,3,4,2,5,1]
[6,2,3,1,5,4,7]=>[1,7,3,4,2,6,5]
[6,2,3,1,5,7,4]=>[5,7,3,4,2,6,1]
[6,2,3,1,7,4,5]=>[6,7,3,4,2,1,5]
[6,2,3,1,7,5,4]=>[5,7,3,4,2,1,6]
[6,2,3,4,1,5,7]=>[1,7,3,4,5,2,6]
[6,2,3,4,1,7,5]=>[6,7,3,4,5,2,1]
[6,2,3,4,5,1,7]=>[1,7,3,4,5,6,2]
[6,2,3,4,5,7,1]=>[2,7,3,4,5,6,1]
[6,2,3,4,7,1,5]=>[6,7,3,4,5,1,2]
[6,2,3,4,7,5,1]=>[2,7,3,4,5,1,6]
[6,2,3,5,1,4,7]=>[1,7,3,4,6,2,5]
[6,2,3,5,1,7,4]=>[5,7,3,4,6,2,1]
[6,2,3,5,4,1,7]=>[1,7,3,4,6,5,2]
[6,2,3,5,4,7,1]=>[2,7,3,4,6,5,1]
[6,2,3,5,7,1,4]=>[5,7,3,4,6,1,2]
[6,2,3,5,7,4,1]=>[2,7,3,4,6,1,5]
[6,2,3,7,1,4,5]=>[6,7,3,4,1,2,5]
[6,2,3,7,1,5,4]=>[5,7,3,4,1,2,6]
[6,2,3,7,4,1,5]=>[6,7,3,4,1,5,2]
[6,2,3,7,4,5,1]=>[2,7,3,4,1,5,6]
[6,2,3,7,5,1,4]=>[5,7,3,4,1,6,2]
[6,2,3,7,5,4,1]=>[2,7,3,4,1,6,5]
[6,2,4,1,3,5,7]=>[1,7,3,5,2,4,6]
[6,2,4,1,3,7,5]=>[6,7,3,5,2,4,1]
[6,2,4,1,5,3,7]=>[1,7,3,5,2,6,4]
[6,2,4,1,5,7,3]=>[4,7,3,5,2,6,1]
[6,2,4,1,7,3,5]=>[6,7,3,5,2,1,4]
[6,2,4,1,7,5,3]=>[4,7,3,5,2,1,6]
[6,2,4,3,1,5,7]=>[1,7,3,5,4,2,6]
[6,2,4,3,1,7,5]=>[6,7,3,5,4,2,1]
[6,2,4,3,5,1,7]=>[1,7,3,5,4,6,2]
[6,2,4,3,5,7,1]=>[2,7,3,5,4,6,1]
[6,2,4,3,7,1,5]=>[6,7,3,5,4,1,2]
[6,2,4,3,7,5,1]=>[2,7,3,5,4,1,6]
[6,2,4,5,1,3,7]=>[1,7,3,5,6,2,4]
[6,2,4,5,1,7,3]=>[4,7,3,5,6,2,1]
[6,2,4,5,3,1,7]=>[1,7,3,5,6,4,2]
[6,2,4,5,3,7,1]=>[2,7,3,5,6,4,1]
[6,2,4,5,7,1,3]=>[4,7,3,5,6,1,2]
[6,2,4,5,7,3,1]=>[2,7,3,5,6,1,4]
[6,2,4,7,1,3,5]=>[6,7,3,5,1,2,4]
[6,2,4,7,1,5,3]=>[4,7,3,5,1,2,6]
[6,2,4,7,3,1,5]=>[6,7,3,5,1,4,2]
[6,2,4,7,3,5,1]=>[2,7,3,5,1,4,6]
[6,2,4,7,5,1,3]=>[4,7,3,5,1,6,2]
[6,2,4,7,5,3,1]=>[2,7,3,5,1,6,4]
[6,2,5,1,3,4,7]=>[1,7,3,6,2,4,5]
[6,2,5,1,3,7,4]=>[5,7,3,6,2,4,1]
[6,2,5,1,4,3,7]=>[1,7,3,6,2,5,4]
[6,2,5,1,4,7,3]=>[4,7,3,6,2,5,1]
[6,2,5,1,7,3,4]=>[5,7,3,6,2,1,4]
[6,2,5,1,7,4,3]=>[4,7,3,6,2,1,5]
[6,2,5,3,1,4,7]=>[1,7,3,6,4,2,5]
[6,2,5,3,1,7,4]=>[5,7,3,6,4,2,1]
[6,2,5,3,4,1,7]=>[1,7,3,6,4,5,2]
[6,2,5,3,4,7,1]=>[2,7,3,6,4,5,1]
[6,2,5,3,7,1,4]=>[5,7,3,6,4,1,2]
[6,2,5,3,7,4,1]=>[2,7,3,6,4,1,5]
[6,2,5,4,1,3,7]=>[1,7,3,6,5,2,4]
[6,2,5,4,1,7,3]=>[4,7,3,6,5,2,1]
[6,2,5,4,3,1,7]=>[1,7,3,6,5,4,2]
[6,2,5,4,3,7,1]=>[2,7,3,6,5,4,1]
[6,2,5,4,7,1,3]=>[4,7,3,6,5,1,2]
[6,2,5,4,7,3,1]=>[2,7,3,6,5,1,4]
[6,2,5,7,1,3,4]=>[5,7,3,6,1,2,4]
[6,2,5,7,1,4,3]=>[4,7,3,6,1,2,5]
[6,2,5,7,3,1,4]=>[5,7,3,6,1,4,2]
[6,2,5,7,3,4,1]=>[2,7,3,6,1,4,5]
[6,2,5,7,4,1,3]=>[4,7,3,6,1,5,2]
[6,2,5,7,4,3,1]=>[2,7,3,6,1,5,4]
[6,2,7,1,3,4,5]=>[6,7,3,1,2,4,5]
[6,2,7,1,3,5,4]=>[5,7,3,1,2,4,6]
[6,2,7,1,4,3,5]=>[6,7,3,1,2,5,4]
[6,2,7,1,4,5,3]=>[4,7,3,1,2,5,6]
[6,2,7,1,5,3,4]=>[5,7,3,1,2,6,4]
[6,2,7,1,5,4,3]=>[4,7,3,1,2,6,5]
[6,2,7,3,1,4,5]=>[6,7,3,1,4,2,5]
[6,2,7,3,1,5,4]=>[5,7,3,1,4,2,6]
[6,2,7,3,4,1,5]=>[6,7,3,1,4,5,2]
[6,2,7,3,4,5,1]=>[2,7,3,1,4,5,6]
[6,2,7,3,5,1,4]=>[5,7,3,1,4,6,2]
[6,2,7,3,5,4,1]=>[2,7,3,1,4,6,5]
[6,2,7,4,1,3,5]=>[6,7,3,1,5,2,4]
[6,2,7,4,1,5,3]=>[4,7,3,1,5,2,6]
[6,2,7,4,3,1,5]=>[6,7,3,1,5,4,2]
[6,2,7,4,3,5,1]=>[2,7,3,1,5,4,6]
[6,2,7,4,5,1,3]=>[4,7,3,1,5,6,2]
[6,2,7,4,5,3,1]=>[2,7,3,1,5,6,4]
[6,2,7,5,1,3,4]=>[5,7,3,1,6,2,4]
[6,2,7,5,1,4,3]=>[4,7,3,1,6,2,5]
[6,2,7,5,3,1,4]=>[5,7,3,1,6,4,2]
[6,2,7,5,3,4,1]=>[2,7,3,1,6,4,5]
[6,2,7,5,4,1,3]=>[4,7,3,1,6,5,2]
[6,2,7,5,4,3,1]=>[2,7,3,1,6,5,4]
[6,3,1,2,4,5,7]=>[1,7,4,2,3,5,6]
[6,3,1,2,4,7,5]=>[6,7,4,2,3,5,1]
[6,3,1,2,5,4,7]=>[1,7,4,2,3,6,5]
[6,3,1,2,5,7,4]=>[5,7,4,2,3,6,1]
[6,3,1,2,7,4,5]=>[6,7,4,2,3,1,5]
[6,3,1,2,7,5,4]=>[5,7,4,2,3,1,6]
[6,3,1,4,2,5,7]=>[1,7,4,2,5,3,6]
[6,3,1,4,2,7,5]=>[6,7,4,2,5,3,1]
[6,3,1,4,5,2,7]=>[1,7,4,2,5,6,3]
[6,3,1,4,5,7,2]=>[3,7,4,2,5,6,1]
[6,3,1,4,7,2,5]=>[6,7,4,2,5,1,3]
[6,3,1,4,7,5,2]=>[3,7,4,2,5,1,6]
[6,3,1,5,2,4,7]=>[1,7,4,2,6,3,5]
[6,3,1,5,2,7,4]=>[5,7,4,2,6,3,1]
[6,3,1,5,4,2,7]=>[1,7,4,2,6,5,3]
[6,3,1,5,4,7,2]=>[3,7,4,2,6,5,1]
[6,3,1,5,7,2,4]=>[5,7,4,2,6,1,3]
[6,3,1,5,7,4,2]=>[3,7,4,2,6,1,5]
[6,3,1,7,2,4,5]=>[6,7,4,2,1,3,5]
[6,3,1,7,2,5,4]=>[5,7,4,2,1,3,6]
[6,3,1,7,4,2,5]=>[6,7,4,2,1,5,3]
[6,3,1,7,4,5,2]=>[3,7,4,2,1,5,6]
[6,3,1,7,5,2,4]=>[5,7,4,2,1,6,3]
[6,3,1,7,5,4,2]=>[3,7,4,2,1,6,5]
[6,3,2,1,4,5,7]=>[1,7,4,3,2,5,6]
[6,3,2,1,4,7,5]=>[6,7,4,3,2,5,1]
[6,3,2,1,5,4,7]=>[1,7,4,3,2,6,5]
[6,3,2,1,5,7,4]=>[5,7,4,3,2,6,1]
[6,3,2,1,7,4,5]=>[6,7,4,3,2,1,5]
[6,3,2,1,7,5,4]=>[5,7,4,3,2,1,6]
[6,3,2,4,1,5,7]=>[1,7,4,3,5,2,6]
[6,3,2,4,1,7,5]=>[6,7,4,3,5,2,1]
[6,3,2,4,5,1,7]=>[1,7,4,3,5,6,2]
[6,3,2,4,5,7,1]=>[2,7,4,3,5,6,1]
[6,3,2,4,7,1,5]=>[6,7,4,3,5,1,2]
[6,3,2,4,7,5,1]=>[2,7,4,3,5,1,6]
[6,3,2,5,1,4,7]=>[1,7,4,3,6,2,5]
[6,3,2,5,1,7,4]=>[5,7,4,3,6,2,1]
[6,3,2,5,4,1,7]=>[1,7,4,3,6,5,2]
[6,3,2,5,4,7,1]=>[2,7,4,3,6,5,1]
[6,3,2,5,7,1,4]=>[5,7,4,3,6,1,2]
[6,3,2,5,7,4,1]=>[2,7,4,3,6,1,5]
[6,3,2,7,1,4,5]=>[6,7,4,3,1,2,5]
[6,3,2,7,1,5,4]=>[5,7,4,3,1,2,6]
[6,3,2,7,4,1,5]=>[6,7,4,3,1,5,2]
[6,3,2,7,4,5,1]=>[2,7,4,3,1,5,6]
[6,3,2,7,5,1,4]=>[5,7,4,3,1,6,2]
[6,3,2,7,5,4,1]=>[2,7,4,3,1,6,5]
[6,3,4,1,2,5,7]=>[1,7,4,5,2,3,6]
[6,3,4,1,2,7,5]=>[6,7,4,5,2,3,1]
[6,3,4,1,5,2,7]=>[1,7,4,5,2,6,3]
[6,3,4,1,5,7,2]=>[3,7,4,5,2,6,1]
[6,3,4,1,7,2,5]=>[6,7,4,5,2,1,3]
[6,3,4,1,7,5,2]=>[3,7,4,5,2,1,6]
[6,3,4,2,1,5,7]=>[1,7,4,5,3,2,6]
[6,3,4,2,1,7,5]=>[6,7,4,5,3,2,1]
[6,3,4,2,5,1,7]=>[1,7,4,5,3,6,2]
[6,3,4,2,5,7,1]=>[2,7,4,5,3,6,1]
[6,3,4,2,7,1,5]=>[6,7,4,5,3,1,2]
[6,3,4,2,7,5,1]=>[2,7,4,5,3,1,6]
[6,3,4,5,1,2,7]=>[1,7,4,5,6,2,3]
[6,3,4,5,1,7,2]=>[3,7,4,5,6,2,1]
[6,3,4,5,2,1,7]=>[1,7,4,5,6,3,2]
[6,3,4,5,2,7,1]=>[2,7,4,5,6,3,1]
[6,3,4,5,7,1,2]=>[3,7,4,5,6,1,2]
[6,3,4,5,7,2,1]=>[2,7,4,5,6,1,3]
[6,3,4,7,1,2,5]=>[6,7,4,5,1,2,3]
[6,3,4,7,1,5,2]=>[3,7,4,5,1,2,6]
[6,3,4,7,2,1,5]=>[6,7,4,5,1,3,2]
[6,3,4,7,2,5,1]=>[2,7,4,5,1,3,6]
[6,3,4,7,5,1,2]=>[3,7,4,5,1,6,2]
[6,3,4,7,5,2,1]=>[2,7,4,5,1,6,3]
[6,3,5,1,2,4,7]=>[1,7,4,6,2,3,5]
[6,3,5,1,2,7,4]=>[5,7,4,6,2,3,1]
[6,3,5,1,4,2,7]=>[1,7,4,6,2,5,3]
[6,3,5,1,4,7,2]=>[3,7,4,6,2,5,1]
[6,3,5,1,7,2,4]=>[5,7,4,6,2,1,3]
[6,3,5,1,7,4,2]=>[3,7,4,6,2,1,5]
[6,3,5,2,1,4,7]=>[1,7,4,6,3,2,5]
[6,3,5,2,1,7,4]=>[5,7,4,6,3,2,1]
[6,3,5,2,4,1,7]=>[1,7,4,6,3,5,2]
[6,3,5,2,4,7,1]=>[2,7,4,6,3,5,1]
[6,3,5,2,7,1,4]=>[5,7,4,6,3,1,2]
[6,3,5,2,7,4,1]=>[2,7,4,6,3,1,5]
[6,3,5,4,1,2,7]=>[1,7,4,6,5,2,3]
[6,3,5,4,1,7,2]=>[3,7,4,6,5,2,1]
[6,3,5,4,2,1,7]=>[1,7,4,6,5,3,2]
[6,3,5,4,2,7,1]=>[2,7,4,6,5,3,1]
[6,3,5,4,7,1,2]=>[3,7,4,6,5,1,2]
[6,3,5,4,7,2,1]=>[2,7,4,6,5,1,3]
[6,3,5,7,1,2,4]=>[5,7,4,6,1,2,3]
[6,3,5,7,1,4,2]=>[3,7,4,6,1,2,5]
[6,3,5,7,2,1,4]=>[5,7,4,6,1,3,2]
[6,3,5,7,2,4,1]=>[2,7,4,6,1,3,5]
[6,3,5,7,4,1,2]=>[3,7,4,6,1,5,2]
[6,3,5,7,4,2,1]=>[2,7,4,6,1,5,3]
[6,3,7,1,2,4,5]=>[6,7,4,1,2,3,5]
[6,3,7,1,2,5,4]=>[5,7,4,1,2,3,6]
[6,3,7,1,4,2,5]=>[6,7,4,1,2,5,3]
[6,3,7,1,4,5,2]=>[3,7,4,1,2,5,6]
[6,3,7,1,5,2,4]=>[5,7,4,1,2,6,3]
[6,3,7,1,5,4,2]=>[3,7,4,1,2,6,5]
[6,3,7,2,1,4,5]=>[6,7,4,1,3,2,5]
[6,3,7,2,1,5,4]=>[5,7,4,1,3,2,6]
[6,3,7,2,4,1,5]=>[6,7,4,1,3,5,2]
[6,3,7,2,4,5,1]=>[2,7,4,1,3,5,6]
[6,3,7,2,5,1,4]=>[5,7,4,1,3,6,2]
[6,3,7,2,5,4,1]=>[2,7,4,1,3,6,5]
[6,3,7,4,1,2,5]=>[6,7,4,1,5,2,3]
[6,3,7,4,1,5,2]=>[3,7,4,1,5,2,6]
[6,3,7,4,2,1,5]=>[6,7,4,1,5,3,2]
[6,3,7,4,2,5,1]=>[2,7,4,1,5,3,6]
[6,3,7,4,5,1,2]=>[3,7,4,1,5,6,2]
[6,3,7,4,5,2,1]=>[2,7,4,1,5,6,3]
[6,3,7,5,1,2,4]=>[5,7,4,1,6,2,3]
[6,3,7,5,1,4,2]=>[3,7,4,1,6,2,5]
[6,3,7,5,2,1,4]=>[5,7,4,1,6,3,2]
[6,3,7,5,2,4,1]=>[2,7,4,1,6,3,5]
[6,3,7,5,4,1,2]=>[3,7,4,1,6,5,2]
[6,3,7,5,4,2,1]=>[2,7,4,1,6,5,3]
[6,4,1,2,3,5,7]=>[1,7,5,2,3,4,6]
[6,4,1,2,3,7,5]=>[6,7,5,2,3,4,1]
[6,4,1,2,5,3,7]=>[1,7,5,2,3,6,4]
[6,4,1,2,5,7,3]=>[4,7,5,2,3,6,1]
[6,4,1,2,7,3,5]=>[6,7,5,2,3,1,4]
[6,4,1,2,7,5,3]=>[4,7,5,2,3,1,6]
[6,4,1,3,2,5,7]=>[1,7,5,2,4,3,6]
[6,4,1,3,2,7,5]=>[6,7,5,2,4,3,1]
[6,4,1,3,5,2,7]=>[1,7,5,2,4,6,3]
[6,4,1,3,5,7,2]=>[3,7,5,2,4,6,1]
[6,4,1,3,7,2,5]=>[6,7,5,2,4,1,3]
[6,4,1,3,7,5,2]=>[3,7,5,2,4,1,6]
[6,4,1,5,2,3,7]=>[1,7,5,2,6,3,4]
[6,4,1,5,2,7,3]=>[4,7,5,2,6,3,1]
[6,4,1,5,3,2,7]=>[1,7,5,2,6,4,3]
[6,4,1,5,3,7,2]=>[3,7,5,2,6,4,1]
[6,4,1,5,7,2,3]=>[4,7,5,2,6,1,3]
[6,4,1,5,7,3,2]=>[3,7,5,2,6,1,4]
[6,4,1,7,2,3,5]=>[6,7,5,2,1,3,4]
[6,4,1,7,2,5,3]=>[4,7,5,2,1,3,6]
[6,4,1,7,3,2,5]=>[6,7,5,2,1,4,3]
[6,4,1,7,3,5,2]=>[3,7,5,2,1,4,6]
[6,4,1,7,5,2,3]=>[4,7,5,2,1,6,3]
[6,4,1,7,5,3,2]=>[3,7,5,2,1,6,4]
[6,4,2,1,3,5,7]=>[1,7,5,3,2,4,6]
[6,4,2,1,3,7,5]=>[6,7,5,3,2,4,1]
[6,4,2,1,5,3,7]=>[1,7,5,3,2,6,4]
[6,4,2,1,5,7,3]=>[4,7,5,3,2,6,1]
[6,4,2,1,7,3,5]=>[6,7,5,3,2,1,4]
[6,4,2,1,7,5,3]=>[4,7,5,3,2,1,6]
[6,4,2,3,1,5,7]=>[1,7,5,3,4,2,6]
[6,4,2,3,1,7,5]=>[6,7,5,3,4,2,1]
[6,4,2,3,5,1,7]=>[1,7,5,3,4,6,2]
[6,4,2,3,5,7,1]=>[2,7,5,3,4,6,1]
[6,4,2,3,7,1,5]=>[6,7,5,3,4,1,2]
[6,4,2,3,7,5,1]=>[2,7,5,3,4,1,6]
[6,4,2,5,1,3,7]=>[1,7,5,3,6,2,4]
[6,4,2,5,1,7,3]=>[4,7,5,3,6,2,1]
[6,4,2,5,3,1,7]=>[1,7,5,3,6,4,2]
[6,4,2,5,3,7,1]=>[2,7,5,3,6,4,1]
[6,4,2,5,7,1,3]=>[4,7,5,3,6,1,2]
[6,4,2,5,7,3,1]=>[2,7,5,3,6,1,4]
[6,4,2,7,1,3,5]=>[6,7,5,3,1,2,4]
[6,4,2,7,1,5,3]=>[4,7,5,3,1,2,6]
[6,4,2,7,3,1,5]=>[6,7,5,3,1,4,2]
[6,4,2,7,3,5,1]=>[2,7,5,3,1,4,6]
[6,4,2,7,5,1,3]=>[4,7,5,3,1,6,2]
[6,4,2,7,5,3,1]=>[2,7,5,3,1,6,4]
[6,4,3,1,2,5,7]=>[1,7,5,4,2,3,6]
[6,4,3,1,2,7,5]=>[6,7,5,4,2,3,1]
[6,4,3,1,5,2,7]=>[1,7,5,4,2,6,3]
[6,4,3,1,5,7,2]=>[3,7,5,4,2,6,1]
[6,4,3,1,7,2,5]=>[6,7,5,4,2,1,3]
[6,4,3,1,7,5,2]=>[3,7,5,4,2,1,6]
[6,4,3,2,1,5,7]=>[1,7,5,4,3,2,6]
[6,4,3,2,1,7,5]=>[6,7,5,4,3,2,1]
[6,4,3,2,5,1,7]=>[1,7,5,4,3,6,2]
[6,4,3,2,5,7,1]=>[2,7,5,4,3,6,1]
[6,4,3,2,7,1,5]=>[6,7,5,4,3,1,2]
[6,4,3,2,7,5,1]=>[2,7,5,4,3,1,6]
[6,4,3,5,1,2,7]=>[1,7,5,4,6,2,3]
[6,4,3,5,1,7,2]=>[3,7,5,4,6,2,1]
[6,4,3,5,2,1,7]=>[1,7,5,4,6,3,2]
[6,4,3,5,2,7,1]=>[2,7,5,4,6,3,1]
[6,4,3,5,7,1,2]=>[3,7,5,4,6,1,2]
[6,4,3,5,7,2,1]=>[2,7,5,4,6,1,3]
[6,4,3,7,1,2,5]=>[6,7,5,4,1,2,3]
[6,4,3,7,1,5,2]=>[3,7,5,4,1,2,6]
[6,4,3,7,2,1,5]=>[6,7,5,4,1,3,2]
[6,4,3,7,2,5,1]=>[2,7,5,4,1,3,6]
[6,4,3,7,5,1,2]=>[3,7,5,4,1,6,2]
[6,4,3,7,5,2,1]=>[2,7,5,4,1,6,3]
[6,4,5,1,2,3,7]=>[1,7,5,6,2,3,4]
[6,4,5,1,2,7,3]=>[4,7,5,6,2,3,1]
[6,4,5,1,3,2,7]=>[1,7,5,6,2,4,3]
[6,4,5,1,3,7,2]=>[3,7,5,6,2,4,1]
[6,4,5,1,7,2,3]=>[4,7,5,6,2,1,3]
[6,4,5,1,7,3,2]=>[3,7,5,6,2,1,4]
[6,4,5,2,1,3,7]=>[1,7,5,6,3,2,4]
[6,4,5,2,1,7,3]=>[4,7,5,6,3,2,1]
[6,4,5,2,3,1,7]=>[1,7,5,6,3,4,2]
[6,4,5,2,3,7,1]=>[2,7,5,6,3,4,1]
[6,4,5,2,7,1,3]=>[4,7,5,6,3,1,2]
[6,4,5,2,7,3,1]=>[2,7,5,6,3,1,4]
[6,4,5,3,1,2,7]=>[1,7,5,6,4,2,3]
[6,4,5,3,1,7,2]=>[3,7,5,6,4,2,1]
[6,4,5,3,2,1,7]=>[1,7,5,6,4,3,2]
[6,4,5,3,2,7,1]=>[2,7,5,6,4,3,1]
[6,4,5,3,7,1,2]=>[3,7,5,6,4,1,2]
[6,4,5,3,7,2,1]=>[2,7,5,6,4,1,3]
[6,4,5,7,1,2,3]=>[4,7,5,6,1,2,3]
[6,4,5,7,1,3,2]=>[3,7,5,6,1,2,4]
[6,4,5,7,2,1,3]=>[4,7,5,6,1,3,2]
[6,4,5,7,2,3,1]=>[2,7,5,6,1,3,4]
[6,4,5,7,3,1,2]=>[3,7,5,6,1,4,2]
[6,4,5,7,3,2,1]=>[2,7,5,6,1,4,3]
[6,4,7,1,2,3,5]=>[6,7,5,1,2,3,4]
[6,4,7,1,2,5,3]=>[4,7,5,1,2,3,6]
[6,4,7,1,3,2,5]=>[6,7,5,1,2,4,3]
[6,4,7,1,3,5,2]=>[3,7,5,1,2,4,6]
[6,4,7,1,5,2,3]=>[4,7,5,1,2,6,3]
[6,4,7,1,5,3,2]=>[3,7,5,1,2,6,4]
[6,4,7,2,1,3,5]=>[6,7,5,1,3,2,4]
[6,4,7,2,1,5,3]=>[4,7,5,1,3,2,6]
[6,4,7,2,3,1,5]=>[6,7,5,1,3,4,2]
[6,4,7,2,3,5,1]=>[2,7,5,1,3,4,6]
[6,4,7,2,5,1,3]=>[4,7,5,1,3,6,2]
[6,4,7,2,5,3,1]=>[2,7,5,1,3,6,4]
[6,4,7,3,1,2,5]=>[6,7,5,1,4,2,3]
[6,4,7,3,1,5,2]=>[3,7,5,1,4,2,6]
[6,4,7,3,2,1,5]=>[6,7,5,1,4,3,2]
[6,4,7,3,2,5,1]=>[2,7,5,1,4,3,6]
[6,4,7,3,5,1,2]=>[3,7,5,1,4,6,2]
[6,4,7,3,5,2,1]=>[2,7,5,1,4,6,3]
[6,4,7,5,1,2,3]=>[4,7,5,1,6,2,3]
[6,4,7,5,1,3,2]=>[3,7,5,1,6,2,4]
[6,4,7,5,2,1,3]=>[4,7,5,1,6,3,2]
[6,4,7,5,2,3,1]=>[2,7,5,1,6,3,4]
[6,4,7,5,3,1,2]=>[3,7,5,1,6,4,2]
[6,4,7,5,3,2,1]=>[2,7,5,1,6,4,3]
[6,5,1,2,3,4,7]=>[1,7,6,2,3,4,5]
[6,5,1,2,3,7,4]=>[5,7,6,2,3,4,1]
[6,5,1,2,4,3,7]=>[1,7,6,2,3,5,4]
[6,5,1,2,4,7,3]=>[4,7,6,2,3,5,1]
[6,5,1,2,7,3,4]=>[5,7,6,2,3,1,4]
[6,5,1,2,7,4,3]=>[4,7,6,2,3,1,5]
[6,5,1,3,2,4,7]=>[1,7,6,2,4,3,5]
[6,5,1,3,2,7,4]=>[5,7,6,2,4,3,1]
[6,5,1,3,4,2,7]=>[1,7,6,2,4,5,3]
[6,5,1,3,4,7,2]=>[3,7,6,2,4,5,1]
[6,5,1,3,7,2,4]=>[5,7,6,2,4,1,3]
[6,5,1,3,7,4,2]=>[3,7,6,2,4,1,5]
[6,5,1,4,2,3,7]=>[1,7,6,2,5,3,4]
[6,5,1,4,2,7,3]=>[4,7,6,2,5,3,1]
[6,5,1,4,3,2,7]=>[1,7,6,2,5,4,3]
[6,5,1,4,3,7,2]=>[3,7,6,2,5,4,1]
[6,5,1,4,7,2,3]=>[4,7,6,2,5,1,3]
[6,5,1,4,7,3,2]=>[3,7,6,2,5,1,4]
[6,5,1,7,2,3,4]=>[5,7,6,2,1,3,4]
[6,5,1,7,2,4,3]=>[4,7,6,2,1,3,5]
[6,5,1,7,3,2,4]=>[5,7,6,2,1,4,3]
[6,5,1,7,3,4,2]=>[3,7,6,2,1,4,5]
[6,5,1,7,4,2,3]=>[4,7,6,2,1,5,3]
[6,5,1,7,4,3,2]=>[3,7,6,2,1,5,4]
[6,5,2,1,3,4,7]=>[1,7,6,3,2,4,5]
[6,5,2,1,3,7,4]=>[5,7,6,3,2,4,1]
[6,5,2,1,4,3,7]=>[1,7,6,3,2,5,4]
[6,5,2,1,4,7,3]=>[4,7,6,3,2,5,1]
[6,5,2,1,7,3,4]=>[5,7,6,3,2,1,4]
[6,5,2,1,7,4,3]=>[4,7,6,3,2,1,5]
[6,5,2,3,1,4,7]=>[1,7,6,3,4,2,5]
[6,5,2,3,1,7,4]=>[5,7,6,3,4,2,1]
[6,5,2,3,4,1,7]=>[1,7,6,3,4,5,2]
[6,5,2,3,4,7,1]=>[2,7,6,3,4,5,1]
[6,5,2,3,7,1,4]=>[5,7,6,3,4,1,2]
[6,5,2,3,7,4,1]=>[2,7,6,3,4,1,5]
[6,5,2,4,1,3,7]=>[1,7,6,3,5,2,4]
[6,5,2,4,1,7,3]=>[4,7,6,3,5,2,1]
[6,5,2,4,3,1,7]=>[1,7,6,3,5,4,2]
[6,5,2,4,3,7,1]=>[2,7,6,3,5,4,1]
[6,5,2,4,7,1,3]=>[4,7,6,3,5,1,2]
[6,5,2,4,7,3,1]=>[2,7,6,3,5,1,4]
[6,5,2,7,1,3,4]=>[5,7,6,3,1,2,4]
[6,5,2,7,1,4,3]=>[4,7,6,3,1,2,5]
[6,5,2,7,3,1,4]=>[5,7,6,3,1,4,2]
[6,5,2,7,3,4,1]=>[2,7,6,3,1,4,5]
[6,5,2,7,4,1,3]=>[4,7,6,3,1,5,2]
[6,5,2,7,4,3,1]=>[2,7,6,3,1,5,4]
[6,5,3,1,2,4,7]=>[1,7,6,4,2,3,5]
[6,5,3,1,2,7,4]=>[5,7,6,4,2,3,1]
[6,5,3,1,4,2,7]=>[1,7,6,4,2,5,3]
[6,5,3,1,4,7,2]=>[3,7,6,4,2,5,1]
[6,5,3,1,7,2,4]=>[5,7,6,4,2,1,3]
[6,5,3,1,7,4,2]=>[3,7,6,4,2,1,5]
[6,5,3,2,1,4,7]=>[1,7,6,4,3,2,5]
[6,5,3,2,1,7,4]=>[5,7,6,4,3,2,1]
[6,5,3,2,4,1,7]=>[1,7,6,4,3,5,2]
[6,5,3,2,4,7,1]=>[2,7,6,4,3,5,1]
[6,5,3,2,7,1,4]=>[5,7,6,4,3,1,2]
[6,5,3,2,7,4,1]=>[2,7,6,4,3,1,5]
[6,5,3,4,1,2,7]=>[1,7,6,4,5,2,3]
[6,5,3,4,1,7,2]=>[3,7,6,4,5,2,1]
[6,5,3,4,2,1,7]=>[1,7,6,4,5,3,2]
[6,5,3,4,2,7,1]=>[2,7,6,4,5,3,1]
[6,5,3,4,7,1,2]=>[3,7,6,4,5,1,2]
[6,5,3,4,7,2,1]=>[2,7,6,4,5,1,3]
[6,5,3,7,1,2,4]=>[5,7,6,4,1,2,3]
[6,5,3,7,1,4,2]=>[3,7,6,4,1,2,5]
[6,5,3,7,2,1,4]=>[5,7,6,4,1,3,2]
[6,5,3,7,2,4,1]=>[2,7,6,4,1,3,5]
[6,5,3,7,4,1,2]=>[3,7,6,4,1,5,2]
[6,5,3,7,4,2,1]=>[2,7,6,4,1,5,3]
[6,5,4,1,2,3,7]=>[1,7,6,5,2,3,4]
[6,5,4,1,2,7,3]=>[4,7,6,5,2,3,1]
[6,5,4,1,3,2,7]=>[1,7,6,5,2,4,3]
[6,5,4,1,3,7,2]=>[3,7,6,5,2,4,1]
[6,5,4,1,7,2,3]=>[4,7,6,5,2,1,3]
[6,5,4,1,7,3,2]=>[3,7,6,5,2,1,4]
[6,5,4,2,1,3,7]=>[1,7,6,5,3,2,4]
[6,5,4,2,1,7,3]=>[4,7,6,5,3,2,1]
[6,5,4,2,3,1,7]=>[1,7,6,5,3,4,2]
[6,5,4,2,3,7,1]=>[2,7,6,5,3,4,1]
[6,5,4,2,7,1,3]=>[4,7,6,5,3,1,2]
[6,5,4,2,7,3,1]=>[2,7,6,5,3,1,4]
[6,5,4,3,1,2,7]=>[1,7,6,5,4,2,3]
[6,5,4,3,1,7,2]=>[3,7,6,5,4,2,1]
[6,5,4,3,2,1,7]=>[1,7,6,5,4,3,2]
[6,5,4,3,2,7,1]=>[2,7,6,5,4,3,1]
[6,5,4,3,7,1,2]=>[3,7,6,5,4,1,2]
[6,5,4,3,7,2,1]=>[2,7,6,5,4,1,3]
[6,5,4,7,1,2,3]=>[4,7,6,5,1,2,3]
[6,5,4,7,1,3,2]=>[3,7,6,5,1,2,4]
[6,5,4,7,2,1,3]=>[4,7,6,5,1,3,2]
[6,5,4,7,2,3,1]=>[2,7,6,5,1,3,4]
[6,5,4,7,3,1,2]=>[3,7,6,5,1,4,2]
[6,5,4,7,3,2,1]=>[2,7,6,5,1,4,3]
[6,5,7,1,2,3,4]=>[5,7,6,1,2,3,4]
[6,5,7,1,2,4,3]=>[4,7,6,1,2,3,5]
[6,5,7,1,3,2,4]=>[5,7,6,1,2,4,3]
[6,5,7,1,3,4,2]=>[3,7,6,1,2,4,5]
[6,5,7,1,4,2,3]=>[4,7,6,1,2,5,3]
[6,5,7,1,4,3,2]=>[3,7,6,1,2,5,4]
[6,5,7,2,1,3,4]=>[5,7,6,1,3,2,4]
[6,5,7,2,1,4,3]=>[4,7,6,1,3,2,5]
[6,5,7,2,3,1,4]=>[5,7,6,1,3,4,2]
[6,5,7,2,3,4,1]=>[2,7,6,1,3,4,5]
[6,5,7,2,4,1,3]=>[4,7,6,1,3,5,2]
[6,5,7,2,4,3,1]=>[2,7,6,1,3,5,4]
[6,5,7,3,1,2,4]=>[5,7,6,1,4,2,3]
[6,5,7,3,1,4,2]=>[3,7,6,1,4,2,5]
[6,5,7,3,2,1,4]=>[5,7,6,1,4,3,2]
[6,5,7,3,2,4,1]=>[2,7,6,1,4,3,5]
[6,5,7,3,4,1,2]=>[3,7,6,1,4,5,2]
[6,5,7,3,4,2,1]=>[2,7,6,1,4,5,3]
[6,5,7,4,1,2,3]=>[4,7,6,1,5,2,3]
[6,5,7,4,1,3,2]=>[3,7,6,1,5,2,4]
[6,5,7,4,2,1,3]=>[4,7,6,1,5,3,2]
[6,5,7,4,2,3,1]=>[2,7,6,1,5,3,4]
[6,5,7,4,3,1,2]=>[3,7,6,1,5,4,2]
[6,5,7,4,3,2,1]=>[2,7,6,1,5,4,3]
[6,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]
[6,7,1,2,3,5,4]=>[5,7,1,2,3,4,6]
[6,7,1,2,4,3,5]=>[6,7,1,2,3,5,4]
[6,7,1,2,4,5,3]=>[4,7,1,2,3,5,6]
[6,7,1,2,5,3,4]=>[5,7,1,2,3,6,4]
[6,7,1,2,5,4,3]=>[4,7,1,2,3,6,5]
[6,7,1,3,2,4,5]=>[6,7,1,2,4,3,5]
[6,7,1,3,2,5,4]=>[5,7,1,2,4,3,6]
[6,7,1,3,4,2,5]=>[6,7,1,2,4,5,3]
[6,7,1,3,4,5,2]=>[3,7,1,2,4,5,6]
[6,7,1,3,5,2,4]=>[5,7,1,2,4,6,3]
[6,7,1,3,5,4,2]=>[3,7,1,2,4,6,5]
[6,7,1,4,2,3,5]=>[6,7,1,2,5,3,4]
[6,7,1,4,2,5,3]=>[4,7,1,2,5,3,6]
[6,7,1,4,3,2,5]=>[6,7,1,2,5,4,3]
[6,7,1,4,3,5,2]=>[3,7,1,2,5,4,6]
[6,7,1,4,5,2,3]=>[4,7,1,2,5,6,3]
[6,7,1,4,5,3,2]=>[3,7,1,2,5,6,4]
[6,7,1,5,2,3,4]=>[5,7,1,2,6,3,4]
[6,7,1,5,2,4,3]=>[4,7,1,2,6,3,5]
[6,7,1,5,3,2,4]=>[5,7,1,2,6,4,3]
[6,7,1,5,3,4,2]=>[3,7,1,2,6,4,5]
[6,7,1,5,4,2,3]=>[4,7,1,2,6,5,3]
[6,7,1,5,4,3,2]=>[3,7,1,2,6,5,4]
[6,7,2,1,3,4,5]=>[6,7,1,3,2,4,5]
[6,7,2,1,3,5,4]=>[5,7,1,3,2,4,6]
[6,7,2,1,4,3,5]=>[6,7,1,3,2,5,4]
[6,7,2,1,4,5,3]=>[4,7,1,3,2,5,6]
[6,7,2,1,5,3,4]=>[5,7,1,3,2,6,4]
[6,7,2,1,5,4,3]=>[4,7,1,3,2,6,5]
[6,7,2,3,1,4,5]=>[6,7,1,3,4,2,5]
[6,7,2,3,1,5,4]=>[5,7,1,3,4,2,6]
[6,7,2,3,4,1,5]=>[6,7,1,3,4,5,2]
[6,7,2,3,4,5,1]=>[2,7,1,3,4,5,6]
[6,7,2,3,5,1,4]=>[5,7,1,3,4,6,2]
[6,7,2,3,5,4,1]=>[2,7,1,3,4,6,5]
[6,7,2,4,1,3,5]=>[6,7,1,3,5,2,4]
[6,7,2,4,1,5,3]=>[4,7,1,3,5,2,6]
[6,7,2,4,3,1,5]=>[6,7,1,3,5,4,2]
[6,7,2,4,3,5,1]=>[2,7,1,3,5,4,6]
[6,7,2,4,5,1,3]=>[4,7,1,3,5,6,2]
[6,7,2,4,5,3,1]=>[2,7,1,3,5,6,4]
[6,7,2,5,1,3,4]=>[5,7,1,3,6,2,4]
[6,7,2,5,1,4,3]=>[4,7,1,3,6,2,5]
[6,7,2,5,3,1,4]=>[5,7,1,3,6,4,2]
[6,7,2,5,3,4,1]=>[2,7,1,3,6,4,5]
[6,7,2,5,4,1,3]=>[4,7,1,3,6,5,2]
[6,7,2,5,4,3,1]=>[2,7,1,3,6,5,4]
[6,7,3,1,2,4,5]=>[6,7,1,4,2,3,5]
[6,7,3,1,2,5,4]=>[5,7,1,4,2,3,6]
[6,7,3,1,4,2,5]=>[6,7,1,4,2,5,3]
[6,7,3,1,4,5,2]=>[3,7,1,4,2,5,6]
[6,7,3,1,5,2,4]=>[5,7,1,4,2,6,3]
[6,7,3,1,5,4,2]=>[3,7,1,4,2,6,5]
[6,7,3,2,1,4,5]=>[6,7,1,4,3,2,5]
[6,7,3,2,1,5,4]=>[5,7,1,4,3,2,6]
[6,7,3,2,4,1,5]=>[6,7,1,4,3,5,2]
[6,7,3,2,4,5,1]=>[2,7,1,4,3,5,6]
[6,7,3,2,5,1,4]=>[5,7,1,4,3,6,2]
[6,7,3,2,5,4,1]=>[2,7,1,4,3,6,5]
[6,7,3,4,1,2,5]=>[6,7,1,4,5,2,3]
[6,7,3,4,1,5,2]=>[3,7,1,4,5,2,6]
[6,7,3,4,2,1,5]=>[6,7,1,4,5,3,2]
[6,7,3,4,2,5,1]=>[2,7,1,4,5,3,6]
[6,7,3,4,5,1,2]=>[3,7,1,4,5,6,2]
[6,7,3,4,5,2,1]=>[2,7,1,4,5,6,3]
[6,7,3,5,1,2,4]=>[5,7,1,4,6,2,3]
[6,7,3,5,1,4,2]=>[3,7,1,4,6,2,5]
[6,7,3,5,2,1,4]=>[5,7,1,4,6,3,2]
[6,7,3,5,2,4,1]=>[2,7,1,4,6,3,5]
[6,7,3,5,4,1,2]=>[3,7,1,4,6,5,2]
[6,7,3,5,4,2,1]=>[2,7,1,4,6,5,3]
[6,7,4,1,2,3,5]=>[6,7,1,5,2,3,4]
[6,7,4,1,2,5,3]=>[4,7,1,5,2,3,6]
[6,7,4,1,3,2,5]=>[6,7,1,5,2,4,3]
[6,7,4,1,3,5,2]=>[3,7,1,5,2,4,6]
[6,7,4,1,5,2,3]=>[4,7,1,5,2,6,3]
[6,7,4,1,5,3,2]=>[3,7,1,5,2,6,4]
[6,7,4,2,1,3,5]=>[6,7,1,5,3,2,4]
[6,7,4,2,1,5,3]=>[4,7,1,5,3,2,6]
[6,7,4,2,3,1,5]=>[6,7,1,5,3,4,2]
[6,7,4,2,3,5,1]=>[2,7,1,5,3,4,6]
[6,7,4,2,5,1,3]=>[4,7,1,5,3,6,2]
[6,7,4,2,5,3,1]=>[2,7,1,5,3,6,4]
[6,7,4,3,1,2,5]=>[6,7,1,5,4,2,3]
[6,7,4,3,1,5,2]=>[3,7,1,5,4,2,6]
[6,7,4,3,2,1,5]=>[6,7,1,5,4,3,2]
[6,7,4,3,2,5,1]=>[2,7,1,5,4,3,6]
[6,7,4,3,5,1,2]=>[3,7,1,5,4,6,2]
[6,7,4,3,5,2,1]=>[2,7,1,5,4,6,3]
[6,7,4,5,1,2,3]=>[4,7,1,5,6,2,3]
[6,7,4,5,1,3,2]=>[3,7,1,5,6,2,4]
[6,7,4,5,2,1,3]=>[4,7,1,5,6,3,2]
[6,7,4,5,2,3,1]=>[2,7,1,5,6,3,4]
[6,7,4,5,3,1,2]=>[3,7,1,5,6,4,2]
[6,7,4,5,3,2,1]=>[2,7,1,5,6,4,3]
[6,7,5,1,2,3,4]=>[5,7,1,6,2,3,4]
[6,7,5,1,2,4,3]=>[4,7,1,6,2,3,5]
[6,7,5,1,3,2,4]=>[5,7,1,6,2,4,3]
[6,7,5,1,3,4,2]=>[3,7,1,6,2,4,5]
[6,7,5,1,4,2,3]=>[4,7,1,6,2,5,3]
[6,7,5,1,4,3,2]=>[3,7,1,6,2,5,4]
[6,7,5,2,1,3,4]=>[5,7,1,6,3,2,4]
[6,7,5,2,1,4,3]=>[4,7,1,6,3,2,5]
[6,7,5,2,3,1,4]=>[5,7,1,6,3,4,2]
[6,7,5,2,3,4,1]=>[2,7,1,6,3,4,5]
[6,7,5,2,4,1,3]=>[4,7,1,6,3,5,2]
[6,7,5,2,4,3,1]=>[2,7,1,6,3,5,4]
[6,7,5,3,1,2,4]=>[5,7,1,6,4,2,3]
[6,7,5,3,1,4,2]=>[3,7,1,6,4,2,5]
[6,7,5,3,2,1,4]=>[5,7,1,6,4,3,2]
[6,7,5,3,2,4,1]=>[2,7,1,6,4,3,5]
[6,7,5,3,4,1,2]=>[3,7,1,6,4,5,2]
[6,7,5,3,4,2,1]=>[2,7,1,6,4,5,3]
[6,7,5,4,1,2,3]=>[4,7,1,6,5,2,3]
[6,7,5,4,1,3,2]=>[3,7,1,6,5,2,4]
[6,7,5,4,2,1,3]=>[4,7,1,6,5,3,2]
[6,7,5,4,2,3,1]=>[2,7,1,6,5,3,4]
[6,7,5,4,3,1,2]=>[3,7,1,6,5,4,2]
[6,7,5,4,3,2,1]=>[2,7,1,6,5,4,3]
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[7,1,2,3,4,6,5]=>[6,1,2,3,4,5,7]
[7,1,2,3,5,4,6]=>[7,1,2,3,4,6,5]
[7,1,2,3,5,6,4]=>[5,1,2,3,4,6,7]
[7,1,2,3,6,4,5]=>[6,1,2,3,4,7,5]
[7,1,2,3,6,5,4]=>[5,1,2,3,4,7,6]
[7,1,2,4,3,5,6]=>[7,1,2,3,5,4,6]
[7,1,2,4,3,6,5]=>[6,1,2,3,5,4,7]
[7,1,2,4,5,3,6]=>[7,1,2,3,5,6,4]
[7,1,2,4,5,6,3]=>[4,1,2,3,5,6,7]
[7,1,2,4,6,3,5]=>[6,1,2,3,5,7,4]
[7,1,2,4,6,5,3]=>[4,1,2,3,5,7,6]
[7,1,2,5,3,4,6]=>[7,1,2,3,6,4,5]
[7,1,2,5,3,6,4]=>[5,1,2,3,6,4,7]
[7,1,2,5,4,3,6]=>[7,1,2,3,6,5,4]
[7,1,2,5,4,6,3]=>[4,1,2,3,6,5,7]
[7,1,2,5,6,3,4]=>[5,1,2,3,6,7,4]
[7,1,2,5,6,4,3]=>[4,1,2,3,6,7,5]
[7,1,2,6,3,4,5]=>[6,1,2,3,7,4,5]
[7,1,2,6,3,5,4]=>[5,1,2,3,7,4,6]
[7,1,2,6,4,3,5]=>[6,1,2,3,7,5,4]
[7,1,2,6,4,5,3]=>[4,1,2,3,7,5,6]
[7,1,2,6,5,3,4]=>[5,1,2,3,7,6,4]
[7,1,2,6,5,4,3]=>[4,1,2,3,7,6,5]
[7,1,3,2,4,5,6]=>[7,1,2,4,3,5,6]
[7,1,3,2,4,6,5]=>[6,1,2,4,3,5,7]
[7,1,3,2,5,4,6]=>[7,1,2,4,3,6,5]
[7,1,3,2,5,6,4]=>[5,1,2,4,3,6,7]
[7,1,3,2,6,4,5]=>[6,1,2,4,3,7,5]
[7,1,3,2,6,5,4]=>[5,1,2,4,3,7,6]
[7,1,3,4,2,5,6]=>[7,1,2,4,5,3,6]
[7,1,3,4,2,6,5]=>[6,1,2,4,5,3,7]
[7,1,3,4,5,2,6]=>[7,1,2,4,5,6,3]
[7,1,3,4,5,6,2]=>[3,1,2,4,5,6,7]
[7,1,3,4,6,2,5]=>[6,1,2,4,5,7,3]
[7,1,3,4,6,5,2]=>[3,1,2,4,5,7,6]
[7,1,3,5,2,4,6]=>[7,1,2,4,6,3,5]
[7,1,3,5,2,6,4]=>[5,1,2,4,6,3,7]
[7,1,3,5,4,2,6]=>[7,1,2,4,6,5,3]
[7,1,3,5,4,6,2]=>[3,1,2,4,6,5,7]
[7,1,3,5,6,2,4]=>[5,1,2,4,6,7,3]
[7,1,3,5,6,4,2]=>[3,1,2,4,6,7,5]
[7,1,3,6,2,4,5]=>[6,1,2,4,7,3,5]
[7,1,3,6,2,5,4]=>[5,1,2,4,7,3,6]
[7,1,3,6,4,2,5]=>[6,1,2,4,7,5,3]
[7,1,3,6,4,5,2]=>[3,1,2,4,7,5,6]
[7,1,3,6,5,2,4]=>[5,1,2,4,7,6,3]
[7,1,3,6,5,4,2]=>[3,1,2,4,7,6,5]
[7,1,4,2,3,5,6]=>[7,1,2,5,3,4,6]
[7,1,4,2,3,6,5]=>[6,1,2,5,3,4,7]
[7,1,4,2,5,3,6]=>[7,1,2,5,3,6,4]
[7,1,4,2,5,6,3]=>[4,1,2,5,3,6,7]
[7,1,4,2,6,3,5]=>[6,1,2,5,3,7,4]
[7,1,4,2,6,5,3]=>[4,1,2,5,3,7,6]
[7,1,4,3,2,5,6]=>[7,1,2,5,4,3,6]
[7,1,4,3,2,6,5]=>[6,1,2,5,4,3,7]
[7,1,4,3,5,2,6]=>[7,1,2,5,4,6,3]
[7,1,4,3,5,6,2]=>[3,1,2,5,4,6,7]
[7,1,4,3,6,2,5]=>[6,1,2,5,4,7,3]
[7,1,4,3,6,5,2]=>[3,1,2,5,4,7,6]
[7,1,4,5,2,3,6]=>[7,1,2,5,6,3,4]
[7,1,4,5,2,6,3]=>[4,1,2,5,6,3,7]
[7,1,4,5,3,2,6]=>[7,1,2,5,6,4,3]
[7,1,4,5,3,6,2]=>[3,1,2,5,6,4,7]
[7,1,4,5,6,2,3]=>[4,1,2,5,6,7,3]
[7,1,4,5,6,3,2]=>[3,1,2,5,6,7,4]
[7,1,4,6,2,3,5]=>[6,1,2,5,7,3,4]
[7,1,4,6,2,5,3]=>[4,1,2,5,7,3,6]
[7,1,4,6,3,2,5]=>[6,1,2,5,7,4,3]
[7,1,4,6,3,5,2]=>[3,1,2,5,7,4,6]
[7,1,4,6,5,2,3]=>[4,1,2,5,7,6,3]
[7,1,4,6,5,3,2]=>[3,1,2,5,7,6,4]
[7,1,5,2,3,4,6]=>[7,1,2,6,3,4,5]
[7,1,5,2,3,6,4]=>[5,1,2,6,3,4,7]
[7,1,5,2,4,3,6]=>[7,1,2,6,3,5,4]
[7,1,5,2,4,6,3]=>[4,1,2,6,3,5,7]
[7,1,5,2,6,3,4]=>[5,1,2,6,3,7,4]
[7,1,5,2,6,4,3]=>[4,1,2,6,3,7,5]
[7,1,5,3,2,4,6]=>[7,1,2,6,4,3,5]
[7,1,5,3,2,6,4]=>[5,1,2,6,4,3,7]
[7,1,5,3,4,2,6]=>[7,1,2,6,4,5,3]
[7,1,5,3,4,6,2]=>[3,1,2,6,4,5,7]
[7,1,5,3,6,2,4]=>[5,1,2,6,4,7,3]
[7,1,5,3,6,4,2]=>[3,1,2,6,4,7,5]
[7,1,5,4,2,3,6]=>[7,1,2,6,5,3,4]
[7,1,5,4,2,6,3]=>[4,1,2,6,5,3,7]
[7,1,5,4,3,2,6]=>[7,1,2,6,5,4,3]
[7,1,5,4,3,6,2]=>[3,1,2,6,5,4,7]
[7,1,5,4,6,2,3]=>[4,1,2,6,5,7,3]
[7,1,5,4,6,3,2]=>[3,1,2,6,5,7,4]
[7,1,5,6,2,3,4]=>[5,1,2,6,7,3,4]
[7,1,5,6,2,4,3]=>[4,1,2,6,7,3,5]
[7,1,5,6,3,2,4]=>[5,1,2,6,7,4,3]
[7,1,5,6,3,4,2]=>[3,1,2,6,7,4,5]
[7,1,5,6,4,2,3]=>[4,1,2,6,7,5,3]
[7,1,5,6,4,3,2]=>[3,1,2,6,7,5,4]
[7,1,6,2,3,4,5]=>[6,1,2,7,3,4,5]
[7,1,6,2,3,5,4]=>[5,1,2,7,3,4,6]
[7,1,6,2,4,3,5]=>[6,1,2,7,3,5,4]
[7,1,6,2,4,5,3]=>[4,1,2,7,3,5,6]
[7,1,6,2,5,3,4]=>[5,1,2,7,3,6,4]
[7,1,6,2,5,4,3]=>[4,1,2,7,3,6,5]
[7,1,6,3,2,4,5]=>[6,1,2,7,4,3,5]
[7,1,6,3,2,5,4]=>[5,1,2,7,4,3,6]
[7,1,6,3,4,2,5]=>[6,1,2,7,4,5,3]
[7,1,6,3,4,5,2]=>[3,1,2,7,4,5,6]
[7,1,6,3,5,2,4]=>[5,1,2,7,4,6,3]
[7,1,6,3,5,4,2]=>[3,1,2,7,4,6,5]
[7,1,6,4,2,3,5]=>[6,1,2,7,5,3,4]
[7,1,6,4,2,5,3]=>[4,1,2,7,5,3,6]
[7,1,6,4,3,2,5]=>[6,1,2,7,5,4,3]
[7,1,6,4,3,5,2]=>[3,1,2,7,5,4,6]
[7,1,6,4,5,2,3]=>[4,1,2,7,5,6,3]
[7,1,6,4,5,3,2]=>[3,1,2,7,5,6,4]
[7,1,6,5,2,3,4]=>[5,1,2,7,6,3,4]
[7,1,6,5,2,4,3]=>[4,1,2,7,6,3,5]
[7,1,6,5,3,2,4]=>[5,1,2,7,6,4,3]
[7,1,6,5,3,4,2]=>[3,1,2,7,6,4,5]
[7,1,6,5,4,2,3]=>[4,1,2,7,6,5,3]
[7,1,6,5,4,3,2]=>[3,1,2,7,6,5,4]
[7,2,1,3,4,5,6]=>[7,1,3,2,4,5,6]
[7,2,1,3,4,6,5]=>[6,1,3,2,4,5,7]
[7,2,1,3,5,4,6]=>[7,1,3,2,4,6,5]
[7,2,1,3,5,6,4]=>[5,1,3,2,4,6,7]
[7,2,1,3,6,4,5]=>[6,1,3,2,4,7,5]
[7,2,1,3,6,5,4]=>[5,1,3,2,4,7,6]
[7,2,1,4,3,5,6]=>[7,1,3,2,5,4,6]
[7,2,1,4,3,6,5]=>[6,1,3,2,5,4,7]
[7,2,1,4,5,3,6]=>[7,1,3,2,5,6,4]
[7,2,1,4,5,6,3]=>[4,1,3,2,5,6,7]
[7,2,1,4,6,3,5]=>[6,1,3,2,5,7,4]
[7,2,1,4,6,5,3]=>[4,1,3,2,5,7,6]
[7,2,1,5,3,4,6]=>[7,1,3,2,6,4,5]
[7,2,1,5,3,6,4]=>[5,1,3,2,6,4,7]
[7,2,1,5,4,3,6]=>[7,1,3,2,6,5,4]
[7,2,1,5,4,6,3]=>[4,1,3,2,6,5,7]
[7,2,1,5,6,3,4]=>[5,1,3,2,6,7,4]
[7,2,1,5,6,4,3]=>[4,1,3,2,6,7,5]
[7,2,1,6,3,4,5]=>[6,1,3,2,7,4,5]
[7,2,1,6,3,5,4]=>[5,1,3,2,7,4,6]
[7,2,1,6,4,3,5]=>[6,1,3,2,7,5,4]
[7,2,1,6,4,5,3]=>[4,1,3,2,7,5,6]
[7,2,1,6,5,3,4]=>[5,1,3,2,7,6,4]
[7,2,1,6,5,4,3]=>[4,1,3,2,7,6,5]
[7,2,3,1,4,5,6]=>[7,1,3,4,2,5,6]
[7,2,3,1,4,6,5]=>[6,1,3,4,2,5,7]
[7,2,3,1,5,4,6]=>[7,1,3,4,2,6,5]
[7,2,3,1,5,6,4]=>[5,1,3,4,2,6,7]
[7,2,3,1,6,4,5]=>[6,1,3,4,2,7,5]
[7,2,3,1,6,5,4]=>[5,1,3,4,2,7,6]
[7,2,3,4,1,5,6]=>[7,1,3,4,5,2,6]
[7,2,3,4,1,6,5]=>[6,1,3,4,5,2,7]
[7,2,3,4,5,1,6]=>[7,1,3,4,5,6,2]
[7,2,3,4,5,6,1]=>[2,1,3,4,5,6,7]
[7,2,3,4,6,1,5]=>[6,1,3,4,5,7,2]
[7,2,3,4,6,5,1]=>[2,1,3,4,5,7,6]
[7,2,3,5,1,4,6]=>[7,1,3,4,6,2,5]
[7,2,3,5,1,6,4]=>[5,1,3,4,6,2,7]
[7,2,3,5,4,1,6]=>[7,1,3,4,6,5,2]
[7,2,3,5,4,6,1]=>[2,1,3,4,6,5,7]
[7,2,3,5,6,1,4]=>[5,1,3,4,6,7,2]
[7,2,3,5,6,4,1]=>[2,1,3,4,6,7,5]
[7,2,3,6,1,4,5]=>[6,1,3,4,7,2,5]
[7,2,3,6,1,5,4]=>[5,1,3,4,7,2,6]
[7,2,3,6,4,1,5]=>[6,1,3,4,7,5,2]
[7,2,3,6,4,5,1]=>[2,1,3,4,7,5,6]
[7,2,3,6,5,1,4]=>[5,1,3,4,7,6,2]
[7,2,3,6,5,4,1]=>[2,1,3,4,7,6,5]
[7,2,4,1,3,5,6]=>[7,1,3,5,2,4,6]
[7,2,4,1,3,6,5]=>[6,1,3,5,2,4,7]
[7,2,4,1,5,3,6]=>[7,1,3,5,2,6,4]
[7,2,4,1,5,6,3]=>[4,1,3,5,2,6,7]
[7,2,4,1,6,3,5]=>[6,1,3,5,2,7,4]
[7,2,4,1,6,5,3]=>[4,1,3,5,2,7,6]
[7,2,4,3,1,5,6]=>[7,1,3,5,4,2,6]
[7,2,4,3,1,6,5]=>[6,1,3,5,4,2,7]
[7,2,4,3,5,1,6]=>[7,1,3,5,4,6,2]
[7,2,4,3,5,6,1]=>[2,1,3,5,4,6,7]
[7,2,4,3,6,1,5]=>[6,1,3,5,4,7,2]
[7,2,4,3,6,5,1]=>[2,1,3,5,4,7,6]
[7,2,4,5,1,3,6]=>[7,1,3,5,6,2,4]
[7,2,4,5,1,6,3]=>[4,1,3,5,6,2,7]
[7,2,4,5,3,1,6]=>[7,1,3,5,6,4,2]
[7,2,4,5,3,6,1]=>[2,1,3,5,6,4,7]
[7,2,4,5,6,1,3]=>[4,1,3,5,6,7,2]
[7,2,4,5,6,3,1]=>[2,1,3,5,6,7,4]
[7,2,4,6,1,3,5]=>[6,1,3,5,7,2,4]
[7,2,4,6,1,5,3]=>[4,1,3,5,7,2,6]
[7,2,4,6,3,1,5]=>[6,1,3,5,7,4,2]
[7,2,4,6,3,5,1]=>[2,1,3,5,7,4,6]
[7,2,4,6,5,1,3]=>[4,1,3,5,7,6,2]
[7,2,4,6,5,3,1]=>[2,1,3,5,7,6,4]
[7,2,5,1,3,4,6]=>[7,1,3,6,2,4,5]
[7,2,5,1,3,6,4]=>[5,1,3,6,2,4,7]
[7,2,5,1,4,3,6]=>[7,1,3,6,2,5,4]
[7,2,5,1,4,6,3]=>[4,1,3,6,2,5,7]
[7,2,5,1,6,3,4]=>[5,1,3,6,2,7,4]
[7,2,5,1,6,4,3]=>[4,1,3,6,2,7,5]
[7,2,5,3,1,4,6]=>[7,1,3,6,4,2,5]
[7,2,5,3,1,6,4]=>[5,1,3,6,4,2,7]
[7,2,5,3,4,1,6]=>[7,1,3,6,4,5,2]
[7,2,5,3,4,6,1]=>[2,1,3,6,4,5,7]
[7,2,5,3,6,1,4]=>[5,1,3,6,4,7,2]
[7,2,5,3,6,4,1]=>[2,1,3,6,4,7,5]
[7,2,5,4,1,3,6]=>[7,1,3,6,5,2,4]
[7,2,5,4,1,6,3]=>[4,1,3,6,5,2,7]
[7,2,5,4,3,1,6]=>[7,1,3,6,5,4,2]
[7,2,5,4,3,6,1]=>[2,1,3,6,5,4,7]
[7,2,5,4,6,1,3]=>[4,1,3,6,5,7,2]
[7,2,5,4,6,3,1]=>[2,1,3,6,5,7,4]
[7,2,5,6,1,3,4]=>[5,1,3,6,7,2,4]
[7,2,5,6,1,4,3]=>[4,1,3,6,7,2,5]
[7,2,5,6,3,1,4]=>[5,1,3,6,7,4,2]
[7,2,5,6,3,4,1]=>[2,1,3,6,7,4,5]
[7,2,5,6,4,1,3]=>[4,1,3,6,7,5,2]
[7,2,5,6,4,3,1]=>[2,1,3,6,7,5,4]
[7,2,6,1,3,4,5]=>[6,1,3,7,2,4,5]
[7,2,6,1,3,5,4]=>[5,1,3,7,2,4,6]
[7,2,6,1,4,3,5]=>[6,1,3,7,2,5,4]
[7,2,6,1,4,5,3]=>[4,1,3,7,2,5,6]
[7,2,6,1,5,3,4]=>[5,1,3,7,2,6,4]
[7,2,6,1,5,4,3]=>[4,1,3,7,2,6,5]
[7,2,6,3,1,4,5]=>[6,1,3,7,4,2,5]
[7,2,6,3,1,5,4]=>[5,1,3,7,4,2,6]
[7,2,6,3,4,1,5]=>[6,1,3,7,4,5,2]
[7,2,6,3,4,5,1]=>[2,1,3,7,4,5,6]
[7,2,6,3,5,1,4]=>[5,1,3,7,4,6,2]
[7,2,6,3,5,4,1]=>[2,1,3,7,4,6,5]
[7,2,6,4,1,3,5]=>[6,1,3,7,5,2,4]
[7,2,6,4,1,5,3]=>[4,1,3,7,5,2,6]
[7,2,6,4,3,1,5]=>[6,1,3,7,5,4,2]
[7,2,6,4,3,5,1]=>[2,1,3,7,5,4,6]
[7,2,6,4,5,1,3]=>[4,1,3,7,5,6,2]
[7,2,6,4,5,3,1]=>[2,1,3,7,5,6,4]
[7,2,6,5,1,3,4]=>[5,1,3,7,6,2,4]
[7,2,6,5,1,4,3]=>[4,1,3,7,6,2,5]
[7,2,6,5,3,1,4]=>[5,1,3,7,6,4,2]
[7,2,6,5,3,4,1]=>[2,1,3,7,6,4,5]
[7,2,6,5,4,1,3]=>[4,1,3,7,6,5,2]
[7,2,6,5,4,3,1]=>[2,1,3,7,6,5,4]
[7,3,1,2,4,5,6]=>[7,1,4,2,3,5,6]
[7,3,1,2,4,6,5]=>[6,1,4,2,3,5,7]
[7,3,1,2,5,4,6]=>[7,1,4,2,3,6,5]
[7,3,1,2,5,6,4]=>[5,1,4,2,3,6,7]
[7,3,1,2,6,4,5]=>[6,1,4,2,3,7,5]
[7,3,1,2,6,5,4]=>[5,1,4,2,3,7,6]
[7,3,1,4,2,5,6]=>[7,1,4,2,5,3,6]
[7,3,1,4,2,6,5]=>[6,1,4,2,5,3,7]
[7,3,1,4,5,2,6]=>[7,1,4,2,5,6,3]
[7,3,1,4,5,6,2]=>[3,1,4,2,5,6,7]
[7,3,1,4,6,2,5]=>[6,1,4,2,5,7,3]
[7,3,1,4,6,5,2]=>[3,1,4,2,5,7,6]
[7,3,1,5,2,4,6]=>[7,1,4,2,6,3,5]
[7,3,1,5,2,6,4]=>[5,1,4,2,6,3,7]
[7,3,1,5,4,2,6]=>[7,1,4,2,6,5,3]
[7,3,1,5,4,6,2]=>[3,1,4,2,6,5,7]
[7,3,1,5,6,2,4]=>[5,1,4,2,6,7,3]
[7,3,1,5,6,4,2]=>[3,1,4,2,6,7,5]
[7,3,1,6,2,4,5]=>[6,1,4,2,7,3,5]
[7,3,1,6,2,5,4]=>[5,1,4,2,7,3,6]
[7,3,1,6,4,2,5]=>[6,1,4,2,7,5,3]
[7,3,1,6,4,5,2]=>[3,1,4,2,7,5,6]
[7,3,1,6,5,2,4]=>[5,1,4,2,7,6,3]
[7,3,1,6,5,4,2]=>[3,1,4,2,7,6,5]
[7,3,2,1,4,5,6]=>[7,1,4,3,2,5,6]
[7,3,2,1,4,6,5]=>[6,1,4,3,2,5,7]
[7,3,2,1,5,4,6]=>[7,1,4,3,2,6,5]
[7,3,2,1,5,6,4]=>[5,1,4,3,2,6,7]
[7,3,2,1,6,4,5]=>[6,1,4,3,2,7,5]
[7,3,2,1,6,5,4]=>[5,1,4,3,2,7,6]
[7,3,2,4,1,5,6]=>[7,1,4,3,5,2,6]
[7,3,2,4,1,6,5]=>[6,1,4,3,5,2,7]
[7,3,2,4,5,1,6]=>[7,1,4,3,5,6,2]
[7,3,2,4,5,6,1]=>[2,1,4,3,5,6,7]
[7,3,2,4,6,1,5]=>[6,1,4,3,5,7,2]
[7,3,2,4,6,5,1]=>[2,1,4,3,5,7,6]
[7,3,2,5,1,4,6]=>[7,1,4,3,6,2,5]
[7,3,2,5,1,6,4]=>[5,1,4,3,6,2,7]
[7,3,2,5,4,1,6]=>[7,1,4,3,6,5,2]
[7,3,2,5,4,6,1]=>[2,1,4,3,6,5,7]
[7,3,2,5,6,1,4]=>[5,1,4,3,6,7,2]
[7,3,2,5,6,4,1]=>[2,1,4,3,6,7,5]
[7,3,2,6,1,4,5]=>[6,1,4,3,7,2,5]
[7,3,2,6,1,5,4]=>[5,1,4,3,7,2,6]
[7,3,2,6,4,1,5]=>[6,1,4,3,7,5,2]
[7,3,2,6,4,5,1]=>[2,1,4,3,7,5,6]
[7,3,2,6,5,1,4]=>[5,1,4,3,7,6,2]
[7,3,2,6,5,4,1]=>[2,1,4,3,7,6,5]
[7,3,4,1,2,5,6]=>[7,1,4,5,2,3,6]
[7,3,4,1,2,6,5]=>[6,1,4,5,2,3,7]
[7,3,4,1,5,2,6]=>[7,1,4,5,2,6,3]
[7,3,4,1,5,6,2]=>[3,1,4,5,2,6,7]
[7,3,4,1,6,2,5]=>[6,1,4,5,2,7,3]
[7,3,4,1,6,5,2]=>[3,1,4,5,2,7,6]
[7,3,4,2,1,5,6]=>[7,1,4,5,3,2,6]
[7,3,4,2,1,6,5]=>[6,1,4,5,3,2,7]
[7,3,4,2,5,1,6]=>[7,1,4,5,3,6,2]
[7,3,4,2,5,6,1]=>[2,1,4,5,3,6,7]
[7,3,4,2,6,1,5]=>[6,1,4,5,3,7,2]
[7,3,4,2,6,5,1]=>[2,1,4,5,3,7,6]
[7,3,4,5,1,2,6]=>[7,1,4,5,6,2,3]
[7,3,4,5,1,6,2]=>[3,1,4,5,6,2,7]
[7,3,4,5,2,1,6]=>[7,1,4,5,6,3,2]
[7,3,4,5,2,6,1]=>[2,1,4,5,6,3,7]
[7,3,4,5,6,1,2]=>[3,1,4,5,6,7,2]
[7,3,4,5,6,2,1]=>[2,1,4,5,6,7,3]
[7,3,4,6,1,2,5]=>[6,1,4,5,7,2,3]
[7,3,4,6,1,5,2]=>[3,1,4,5,7,2,6]
[7,3,4,6,2,1,5]=>[6,1,4,5,7,3,2]
[7,3,4,6,2,5,1]=>[2,1,4,5,7,3,6]
[7,3,4,6,5,1,2]=>[3,1,4,5,7,6,2]
[7,3,4,6,5,2,1]=>[2,1,4,5,7,6,3]
[7,3,5,1,2,4,6]=>[7,1,4,6,2,3,5]
[7,3,5,1,2,6,4]=>[5,1,4,6,2,3,7]
[7,3,5,1,4,2,6]=>[7,1,4,6,2,5,3]
[7,3,5,1,4,6,2]=>[3,1,4,6,2,5,7]
[7,3,5,1,6,2,4]=>[5,1,4,6,2,7,3]
[7,3,5,1,6,4,2]=>[3,1,4,6,2,7,5]
[7,3,5,2,1,4,6]=>[7,1,4,6,3,2,5]
[7,3,5,2,1,6,4]=>[5,1,4,6,3,2,7]
[7,3,5,2,4,1,6]=>[7,1,4,6,3,5,2]
[7,3,5,2,4,6,1]=>[2,1,4,6,3,5,7]
[7,3,5,2,6,1,4]=>[5,1,4,6,3,7,2]
[7,3,5,2,6,4,1]=>[2,1,4,6,3,7,5]
[7,3,5,4,1,2,6]=>[7,1,4,6,5,2,3]
[7,3,5,4,1,6,2]=>[3,1,4,6,5,2,7]
[7,3,5,4,2,1,6]=>[7,1,4,6,5,3,2]
[7,3,5,4,2,6,1]=>[2,1,4,6,5,3,7]
[7,3,5,4,6,1,2]=>[3,1,4,6,5,7,2]
[7,3,5,4,6,2,1]=>[2,1,4,6,5,7,3]
[7,3,5,6,1,2,4]=>[5,1,4,6,7,2,3]
[7,3,5,6,1,4,2]=>[3,1,4,6,7,2,5]
[7,3,5,6,2,1,4]=>[5,1,4,6,7,3,2]
[7,3,5,6,2,4,1]=>[2,1,4,6,7,3,5]
[7,3,5,6,4,1,2]=>[3,1,4,6,7,5,2]
[7,3,5,6,4,2,1]=>[2,1,4,6,7,5,3]
[7,3,6,1,2,4,5]=>[6,1,4,7,2,3,5]
[7,3,6,1,2,5,4]=>[5,1,4,7,2,3,6]
[7,3,6,1,4,2,5]=>[6,1,4,7,2,5,3]
[7,3,6,1,4,5,2]=>[3,1,4,7,2,5,6]
[7,3,6,1,5,2,4]=>[5,1,4,7,2,6,3]
[7,3,6,1,5,4,2]=>[3,1,4,7,2,6,5]
[7,3,6,2,1,4,5]=>[6,1,4,7,3,2,5]
[7,3,6,2,1,5,4]=>[5,1,4,7,3,2,6]
[7,3,6,2,4,1,5]=>[6,1,4,7,3,5,2]
[7,3,6,2,4,5,1]=>[2,1,4,7,3,5,6]
[7,3,6,2,5,1,4]=>[5,1,4,7,3,6,2]
[7,3,6,2,5,4,1]=>[2,1,4,7,3,6,5]
[7,3,6,4,1,2,5]=>[6,1,4,7,5,2,3]
[7,3,6,4,1,5,2]=>[3,1,4,7,5,2,6]
[7,3,6,4,2,1,5]=>[6,1,4,7,5,3,2]
[7,3,6,4,2,5,1]=>[2,1,4,7,5,3,6]
[7,3,6,4,5,1,2]=>[3,1,4,7,5,6,2]
[7,3,6,4,5,2,1]=>[2,1,4,7,5,6,3]
[7,3,6,5,1,2,4]=>[5,1,4,7,6,2,3]
[7,3,6,5,1,4,2]=>[3,1,4,7,6,2,5]
[7,3,6,5,2,1,4]=>[5,1,4,7,6,3,2]
[7,3,6,5,2,4,1]=>[2,1,4,7,6,3,5]
[7,3,6,5,4,1,2]=>[3,1,4,7,6,5,2]
[7,3,6,5,4,2,1]=>[2,1,4,7,6,5,3]
[7,4,1,2,3,5,6]=>[7,1,5,2,3,4,6]
[7,4,1,2,3,6,5]=>[6,1,5,2,3,4,7]
[7,4,1,2,5,3,6]=>[7,1,5,2,3,6,4]
[7,4,1,2,5,6,3]=>[4,1,5,2,3,6,7]
[7,4,1,2,6,3,5]=>[6,1,5,2,3,7,4]
[7,4,1,2,6,5,3]=>[4,1,5,2,3,7,6]
[7,4,1,3,2,5,6]=>[7,1,5,2,4,3,6]
[7,4,1,3,2,6,5]=>[6,1,5,2,4,3,7]
[7,4,1,3,5,2,6]=>[7,1,5,2,4,6,3]
[7,4,1,3,5,6,2]=>[3,1,5,2,4,6,7]
[7,4,1,3,6,2,5]=>[6,1,5,2,4,7,3]
[7,4,1,3,6,5,2]=>[3,1,5,2,4,7,6]
[7,4,1,5,2,3,6]=>[7,1,5,2,6,3,4]
[7,4,1,5,2,6,3]=>[4,1,5,2,6,3,7]
[7,4,1,5,3,2,6]=>[7,1,5,2,6,4,3]
[7,4,1,5,3,6,2]=>[3,1,5,2,6,4,7]
[7,4,1,5,6,2,3]=>[4,1,5,2,6,7,3]
[7,4,1,5,6,3,2]=>[3,1,5,2,6,7,4]
[7,4,1,6,2,3,5]=>[6,1,5,2,7,3,4]
[7,4,1,6,2,5,3]=>[4,1,5,2,7,3,6]
[7,4,1,6,3,2,5]=>[6,1,5,2,7,4,3]
[7,4,1,6,3,5,2]=>[3,1,5,2,7,4,6]
[7,4,1,6,5,2,3]=>[4,1,5,2,7,6,3]
[7,4,1,6,5,3,2]=>[3,1,5,2,7,6,4]
[7,4,2,1,3,5,6]=>[7,1,5,3,2,4,6]
[7,4,2,1,3,6,5]=>[6,1,5,3,2,4,7]
[7,4,2,1,5,3,6]=>[7,1,5,3,2,6,4]
[7,4,2,1,5,6,3]=>[4,1,5,3,2,6,7]
[7,4,2,1,6,3,5]=>[6,1,5,3,2,7,4]
[7,4,2,1,6,5,3]=>[4,1,5,3,2,7,6]
[7,4,2,3,1,5,6]=>[7,1,5,3,4,2,6]
[7,4,2,3,1,6,5]=>[6,1,5,3,4,2,7]
[7,4,2,3,5,1,6]=>[7,1,5,3,4,6,2]
[7,4,2,3,5,6,1]=>[2,1,5,3,4,6,7]
[7,4,2,3,6,1,5]=>[6,1,5,3,4,7,2]
[7,4,2,3,6,5,1]=>[2,1,5,3,4,7,6]
[7,4,2,5,1,3,6]=>[7,1,5,3,6,2,4]
[7,4,2,5,1,6,3]=>[4,1,5,3,6,2,7]
[7,4,2,5,3,1,6]=>[7,1,5,3,6,4,2]
[7,4,2,5,3,6,1]=>[2,1,5,3,6,4,7]
[7,4,2,5,6,1,3]=>[4,1,5,3,6,7,2]
[7,4,2,5,6,3,1]=>[2,1,5,3,6,7,4]
[7,4,2,6,1,3,5]=>[6,1,5,3,7,2,4]
[7,4,2,6,1,5,3]=>[4,1,5,3,7,2,6]
[7,4,2,6,3,1,5]=>[6,1,5,3,7,4,2]
[7,4,2,6,3,5,1]=>[2,1,5,3,7,4,6]
[7,4,2,6,5,1,3]=>[4,1,5,3,7,6,2]
[7,4,2,6,5,3,1]=>[2,1,5,3,7,6,4]
[7,4,3,1,2,5,6]=>[7,1,5,4,2,3,6]
[7,4,3,1,2,6,5]=>[6,1,5,4,2,3,7]
[7,4,3,1,5,2,6]=>[7,1,5,4,2,6,3]
[7,4,3,1,5,6,2]=>[3,1,5,4,2,6,7]
[7,4,3,1,6,2,5]=>[6,1,5,4,2,7,3]
[7,4,3,1,6,5,2]=>[3,1,5,4,2,7,6]
[7,4,3,2,1,5,6]=>[7,1,5,4,3,2,6]
[7,4,3,2,1,6,5]=>[6,1,5,4,3,2,7]
[7,4,3,2,5,1,6]=>[7,1,5,4,3,6,2]
[7,4,3,2,5,6,1]=>[2,1,5,4,3,6,7]
[7,4,3,2,6,1,5]=>[6,1,5,4,3,7,2]
[7,4,3,2,6,5,1]=>[2,1,5,4,3,7,6]
[7,4,3,5,1,2,6]=>[7,1,5,4,6,2,3]
[7,4,3,5,1,6,2]=>[3,1,5,4,6,2,7]
[7,4,3,5,2,1,6]=>[7,1,5,4,6,3,2]
[7,4,3,5,2,6,1]=>[2,1,5,4,6,3,7]
[7,4,3,5,6,1,2]=>[3,1,5,4,6,7,2]
[7,4,3,5,6,2,1]=>[2,1,5,4,6,7,3]
[7,4,3,6,1,2,5]=>[6,1,5,4,7,2,3]
[7,4,3,6,1,5,2]=>[3,1,5,4,7,2,6]
[7,4,3,6,2,1,5]=>[6,1,5,4,7,3,2]
[7,4,3,6,2,5,1]=>[2,1,5,4,7,3,6]
[7,4,3,6,5,1,2]=>[3,1,5,4,7,6,2]
[7,4,3,6,5,2,1]=>[2,1,5,4,7,6,3]
[7,4,5,1,2,3,6]=>[7,1,5,6,2,3,4]
[7,4,5,1,2,6,3]=>[4,1,5,6,2,3,7]
[7,4,5,1,3,2,6]=>[7,1,5,6,2,4,3]
[7,4,5,1,3,6,2]=>[3,1,5,6,2,4,7]
[7,4,5,1,6,2,3]=>[4,1,5,6,2,7,3]
[7,4,5,1,6,3,2]=>[3,1,5,6,2,7,4]
[7,4,5,2,1,3,6]=>[7,1,5,6,3,2,4]
[7,4,5,2,1,6,3]=>[4,1,5,6,3,2,7]
[7,4,5,2,3,1,6]=>[7,1,5,6,3,4,2]
[7,4,5,2,3,6,1]=>[2,1,5,6,3,4,7]
[7,4,5,2,6,1,3]=>[4,1,5,6,3,7,2]
[7,4,5,2,6,3,1]=>[2,1,5,6,3,7,4]
[7,4,5,3,1,2,6]=>[7,1,5,6,4,2,3]
[7,4,5,3,1,6,2]=>[3,1,5,6,4,2,7]
[7,4,5,3,2,1,6]=>[7,1,5,6,4,3,2]
[7,4,5,3,2,6,1]=>[2,1,5,6,4,3,7]
[7,4,5,3,6,1,2]=>[3,1,5,6,4,7,2]
[7,4,5,3,6,2,1]=>[2,1,5,6,4,7,3]
[7,4,5,6,1,2,3]=>[4,1,5,6,7,2,3]
[7,4,5,6,1,3,2]=>[3,1,5,6,7,2,4]
[7,4,5,6,2,1,3]=>[4,1,5,6,7,3,2]
[7,4,5,6,2,3,1]=>[2,1,5,6,7,3,4]
[7,4,5,6,3,1,2]=>[3,1,5,6,7,4,2]
[7,4,5,6,3,2,1]=>[2,1,5,6,7,4,3]
[7,4,6,1,2,3,5]=>[6,1,5,7,2,3,4]
[7,4,6,1,2,5,3]=>[4,1,5,7,2,3,6]
[7,4,6,1,3,2,5]=>[6,1,5,7,2,4,3]
[7,4,6,1,3,5,2]=>[3,1,5,7,2,4,6]
[7,4,6,1,5,2,3]=>[4,1,5,7,2,6,3]
[7,4,6,1,5,3,2]=>[3,1,5,7,2,6,4]
[7,4,6,2,1,3,5]=>[6,1,5,7,3,2,4]
[7,4,6,2,1,5,3]=>[4,1,5,7,3,2,6]
[7,4,6,2,3,1,5]=>[6,1,5,7,3,4,2]
[7,4,6,2,3,5,1]=>[2,1,5,7,3,4,6]
[7,4,6,2,5,1,3]=>[4,1,5,7,3,6,2]
[7,4,6,2,5,3,1]=>[2,1,5,7,3,6,4]
[7,4,6,3,1,2,5]=>[6,1,5,7,4,2,3]
[7,4,6,3,1,5,2]=>[3,1,5,7,4,2,6]
[7,4,6,3,2,1,5]=>[6,1,5,7,4,3,2]
[7,4,6,3,2,5,1]=>[2,1,5,7,4,3,6]
[7,4,6,3,5,1,2]=>[3,1,5,7,4,6,2]
[7,4,6,3,5,2,1]=>[2,1,5,7,4,6,3]
[7,4,6,5,1,2,3]=>[4,1,5,7,6,2,3]
[7,4,6,5,1,3,2]=>[3,1,5,7,6,2,4]
[7,4,6,5,2,1,3]=>[4,1,5,7,6,3,2]
[7,4,6,5,2,3,1]=>[2,1,5,7,6,3,4]
[7,4,6,5,3,1,2]=>[3,1,5,7,6,4,2]
[7,4,6,5,3,2,1]=>[2,1,5,7,6,4,3]
[7,5,1,2,3,4,6]=>[7,1,6,2,3,4,5]
[7,5,1,2,3,6,4]=>[5,1,6,2,3,4,7]
[7,5,1,2,4,3,6]=>[7,1,6,2,3,5,4]
[7,5,1,2,4,6,3]=>[4,1,6,2,3,5,7]
[7,5,1,2,6,3,4]=>[5,1,6,2,3,7,4]
[7,5,1,2,6,4,3]=>[4,1,6,2,3,7,5]
[7,5,1,3,2,4,6]=>[7,1,6,2,4,3,5]
[7,5,1,3,2,6,4]=>[5,1,6,2,4,3,7]
[7,5,1,3,4,2,6]=>[7,1,6,2,4,5,3]
[7,5,1,3,4,6,2]=>[3,1,6,2,4,5,7]
[7,5,1,3,6,2,4]=>[5,1,6,2,4,7,3]
[7,5,1,3,6,4,2]=>[3,1,6,2,4,7,5]
[7,5,1,4,2,3,6]=>[7,1,6,2,5,3,4]
[7,5,1,4,2,6,3]=>[4,1,6,2,5,3,7]
[7,5,1,4,3,2,6]=>[7,1,6,2,5,4,3]
[7,5,1,4,3,6,2]=>[3,1,6,2,5,4,7]
[7,5,1,4,6,2,3]=>[4,1,6,2,5,7,3]
[7,5,1,4,6,3,2]=>[3,1,6,2,5,7,4]
[7,5,1,6,2,3,4]=>[5,1,6,2,7,3,4]
[7,5,1,6,2,4,3]=>[4,1,6,2,7,3,5]
[7,5,1,6,3,2,4]=>[5,1,6,2,7,4,3]
[7,5,1,6,3,4,2]=>[3,1,6,2,7,4,5]
[7,5,1,6,4,2,3]=>[4,1,6,2,7,5,3]
[7,5,1,6,4,3,2]=>[3,1,6,2,7,5,4]
[7,5,2,1,3,4,6]=>[7,1,6,3,2,4,5]
[7,5,2,1,3,6,4]=>[5,1,6,3,2,4,7]
[7,5,2,1,4,3,6]=>[7,1,6,3,2,5,4]
[7,5,2,1,4,6,3]=>[4,1,6,3,2,5,7]
[7,5,2,1,6,3,4]=>[5,1,6,3,2,7,4]
[7,5,2,1,6,4,3]=>[4,1,6,3,2,7,5]
[7,5,2,3,1,4,6]=>[7,1,6,3,4,2,5]
[7,5,2,3,1,6,4]=>[5,1,6,3,4,2,7]
[7,5,2,3,4,1,6]=>[7,1,6,3,4,5,2]
[7,5,2,3,4,6,1]=>[2,1,6,3,4,5,7]
[7,5,2,3,6,1,4]=>[5,1,6,3,4,7,2]
[7,5,2,3,6,4,1]=>[2,1,6,3,4,7,5]
[7,5,2,4,1,3,6]=>[7,1,6,3,5,2,4]
[7,5,2,4,1,6,3]=>[4,1,6,3,5,2,7]
[7,5,2,4,3,1,6]=>[7,1,6,3,5,4,2]
[7,5,2,4,3,6,1]=>[2,1,6,3,5,4,7]
[7,5,2,4,6,1,3]=>[4,1,6,3,5,7,2]
[7,5,2,4,6,3,1]=>[2,1,6,3,5,7,4]
[7,5,2,6,1,3,4]=>[5,1,6,3,7,2,4]
[7,5,2,6,1,4,3]=>[4,1,6,3,7,2,5]
[7,5,2,6,3,1,4]=>[5,1,6,3,7,4,2]
[7,5,2,6,3,4,1]=>[2,1,6,3,7,4,5]
[7,5,2,6,4,1,3]=>[4,1,6,3,7,5,2]
[7,5,2,6,4,3,1]=>[2,1,6,3,7,5,4]
[7,5,3,1,2,4,6]=>[7,1,6,4,2,3,5]
[7,5,3,1,2,6,4]=>[5,1,6,4,2,3,7]
[7,5,3,1,4,2,6]=>[7,1,6,4,2,5,3]
[7,5,3,1,4,6,2]=>[3,1,6,4,2,5,7]
[7,5,3,1,6,2,4]=>[5,1,6,4,2,7,3]
[7,5,3,1,6,4,2]=>[3,1,6,4,2,7,5]
[7,5,3,2,1,4,6]=>[7,1,6,4,3,2,5]
[7,5,3,2,1,6,4]=>[5,1,6,4,3,2,7]
[7,5,3,2,4,1,6]=>[7,1,6,4,3,5,2]
[7,5,3,2,4,6,1]=>[2,1,6,4,3,5,7]
[7,5,3,2,6,1,4]=>[5,1,6,4,3,7,2]
[7,5,3,2,6,4,1]=>[2,1,6,4,3,7,5]
[7,5,3,4,1,2,6]=>[7,1,6,4,5,2,3]
[7,5,3,4,1,6,2]=>[3,1,6,4,5,2,7]
[7,5,3,4,2,1,6]=>[7,1,6,4,5,3,2]
[7,5,3,4,2,6,1]=>[2,1,6,4,5,3,7]
[7,5,3,4,6,1,2]=>[3,1,6,4,5,7,2]
[7,5,3,4,6,2,1]=>[2,1,6,4,5,7,3]
[7,5,3,6,1,2,4]=>[5,1,6,4,7,2,3]
[7,5,3,6,1,4,2]=>[3,1,6,4,7,2,5]
[7,5,3,6,2,1,4]=>[5,1,6,4,7,3,2]
[7,5,3,6,2,4,1]=>[2,1,6,4,7,3,5]
[7,5,3,6,4,1,2]=>[3,1,6,4,7,5,2]
[7,5,3,6,4,2,1]=>[2,1,6,4,7,5,3]
[7,5,4,1,2,3,6]=>[7,1,6,5,2,3,4]
[7,5,4,1,2,6,3]=>[4,1,6,5,2,3,7]
[7,5,4,1,3,2,6]=>[7,1,6,5,2,4,3]
[7,5,4,1,3,6,2]=>[3,1,6,5,2,4,7]
[7,5,4,1,6,2,3]=>[4,1,6,5,2,7,3]
[7,5,4,1,6,3,2]=>[3,1,6,5,2,7,4]
[7,5,4,2,1,3,6]=>[7,1,6,5,3,2,4]
[7,5,4,2,1,6,3]=>[4,1,6,5,3,2,7]
[7,5,4,2,3,1,6]=>[7,1,6,5,3,4,2]
[7,5,4,2,3,6,1]=>[2,1,6,5,3,4,7]
[7,5,4,2,6,1,3]=>[4,1,6,5,3,7,2]
[7,5,4,2,6,3,1]=>[2,1,6,5,3,7,4]
[7,5,4,3,1,2,6]=>[7,1,6,5,4,2,3]
[7,5,4,3,1,6,2]=>[3,1,6,5,4,2,7]
[7,5,4,3,2,1,6]=>[7,1,6,5,4,3,2]
[7,5,4,3,2,6,1]=>[2,1,6,5,4,3,7]
[7,5,4,3,6,1,2]=>[3,1,6,5,4,7,2]
[7,5,4,3,6,2,1]=>[2,1,6,5,4,7,3]
[7,5,4,6,1,2,3]=>[4,1,6,5,7,2,3]
[7,5,4,6,1,3,2]=>[3,1,6,5,7,2,4]
[7,5,4,6,2,1,3]=>[4,1,6,5,7,3,2]
[7,5,4,6,2,3,1]=>[2,1,6,5,7,3,4]
[7,5,4,6,3,1,2]=>[3,1,6,5,7,4,2]
[7,5,4,6,3,2,1]=>[2,1,6,5,7,4,3]
[7,5,6,1,2,3,4]=>[5,1,6,7,2,3,4]
[7,5,6,1,2,4,3]=>[4,1,6,7,2,3,5]
[7,5,6,1,3,2,4]=>[5,1,6,7,2,4,3]
[7,5,6,1,3,4,2]=>[3,1,6,7,2,4,5]
[7,5,6,1,4,2,3]=>[4,1,6,7,2,5,3]
[7,5,6,1,4,3,2]=>[3,1,6,7,2,5,4]
[7,5,6,2,1,3,4]=>[5,1,6,7,3,2,4]
[7,5,6,2,1,4,3]=>[4,1,6,7,3,2,5]
[7,5,6,2,3,1,4]=>[5,1,6,7,3,4,2]
[7,5,6,2,3,4,1]=>[2,1,6,7,3,4,5]
[7,5,6,2,4,1,3]=>[4,1,6,7,3,5,2]
[7,5,6,2,4,3,1]=>[2,1,6,7,3,5,4]
[7,5,6,3,1,2,4]=>[5,1,6,7,4,2,3]
[7,5,6,3,1,4,2]=>[3,1,6,7,4,2,5]
[7,5,6,3,2,1,4]=>[5,1,6,7,4,3,2]
[7,5,6,3,2,4,1]=>[2,1,6,7,4,3,5]
[7,5,6,3,4,1,2]=>[3,1,6,7,4,5,2]
[7,5,6,3,4,2,1]=>[2,1,6,7,4,5,3]
[7,5,6,4,1,2,3]=>[4,1,6,7,5,2,3]
[7,5,6,4,1,3,2]=>[3,1,6,7,5,2,4]
[7,5,6,4,2,1,3]=>[4,1,6,7,5,3,2]
[7,5,6,4,2,3,1]=>[2,1,6,7,5,3,4]
[7,5,6,4,3,1,2]=>[3,1,6,7,5,4,2]
[7,5,6,4,3,2,1]=>[2,1,6,7,5,4,3]
[7,6,1,2,3,4,5]=>[6,1,7,2,3,4,5]
[7,6,1,2,3,5,4]=>[5,1,7,2,3,4,6]
[7,6,1,2,4,3,5]=>[6,1,7,2,3,5,4]
[7,6,1,2,4,5,3]=>[4,1,7,2,3,5,6]
[7,6,1,2,5,3,4]=>[5,1,7,2,3,6,4]
[7,6,1,2,5,4,3]=>[4,1,7,2,3,6,5]
[7,6,1,3,2,4,5]=>[6,1,7,2,4,3,5]
[7,6,1,3,2,5,4]=>[5,1,7,2,4,3,6]
[7,6,1,3,4,2,5]=>[6,1,7,2,4,5,3]
[7,6,1,3,4,5,2]=>[3,1,7,2,4,5,6]
[7,6,1,3,5,2,4]=>[5,1,7,2,4,6,3]
[7,6,1,3,5,4,2]=>[3,1,7,2,4,6,5]
[7,6,1,4,2,3,5]=>[6,1,7,2,5,3,4]
[7,6,1,4,2,5,3]=>[4,1,7,2,5,3,6]
[7,6,1,4,3,2,5]=>[6,1,7,2,5,4,3]
[7,6,1,4,3,5,2]=>[3,1,7,2,5,4,6]
[7,6,1,4,5,2,3]=>[4,1,7,2,5,6,3]
[7,6,1,4,5,3,2]=>[3,1,7,2,5,6,4]
[7,6,1,5,2,3,4]=>[5,1,7,2,6,3,4]
[7,6,1,5,2,4,3]=>[4,1,7,2,6,3,5]
[7,6,1,5,3,2,4]=>[5,1,7,2,6,4,3]
[7,6,1,5,3,4,2]=>[3,1,7,2,6,4,5]
[7,6,1,5,4,2,3]=>[4,1,7,2,6,5,3]
[7,6,1,5,4,3,2]=>[3,1,7,2,6,5,4]
[7,6,2,1,3,4,5]=>[6,1,7,3,2,4,5]
[7,6,2,1,3,5,4]=>[5,1,7,3,2,4,6]
[7,6,2,1,4,3,5]=>[6,1,7,3,2,5,4]
[7,6,2,1,4,5,3]=>[4,1,7,3,2,5,6]
[7,6,2,1,5,3,4]=>[5,1,7,3,2,6,4]
[7,6,2,1,5,4,3]=>[4,1,7,3,2,6,5]
[7,6,2,3,1,4,5]=>[6,1,7,3,4,2,5]
[7,6,2,3,1,5,4]=>[5,1,7,3,4,2,6]
[7,6,2,3,4,1,5]=>[6,1,7,3,4,5,2]
[7,6,2,3,4,5,1]=>[2,1,7,3,4,5,6]
[7,6,2,3,5,1,4]=>[5,1,7,3,4,6,2]
[7,6,2,3,5,4,1]=>[2,1,7,3,4,6,5]
[7,6,2,4,1,3,5]=>[6,1,7,3,5,2,4]
[7,6,2,4,1,5,3]=>[4,1,7,3,5,2,6]
[7,6,2,4,3,1,5]=>[6,1,7,3,5,4,2]
[7,6,2,4,3,5,1]=>[2,1,7,3,5,4,6]
[7,6,2,4,5,1,3]=>[4,1,7,3,5,6,2]
[7,6,2,4,5,3,1]=>[2,1,7,3,5,6,4]
[7,6,2,5,1,3,4]=>[5,1,7,3,6,2,4]
[7,6,2,5,1,4,3]=>[4,1,7,3,6,2,5]
[7,6,2,5,3,1,4]=>[5,1,7,3,6,4,2]
[7,6,2,5,3,4,1]=>[2,1,7,3,6,4,5]
[7,6,2,5,4,1,3]=>[4,1,7,3,6,5,2]
[7,6,2,5,4,3,1]=>[2,1,7,3,6,5,4]
[7,6,3,1,2,4,5]=>[6,1,7,4,2,3,5]
[7,6,3,1,2,5,4]=>[5,1,7,4,2,3,6]
[7,6,3,1,4,2,5]=>[6,1,7,4,2,5,3]
[7,6,3,1,4,5,2]=>[3,1,7,4,2,5,6]
[7,6,3,1,5,2,4]=>[5,1,7,4,2,6,3]
[7,6,3,1,5,4,2]=>[3,1,7,4,2,6,5]
[7,6,3,2,1,4,5]=>[6,1,7,4,3,2,5]
[7,6,3,2,1,5,4]=>[5,1,7,4,3,2,6]
[7,6,3,2,4,1,5]=>[6,1,7,4,3,5,2]
[7,6,3,2,4,5,1]=>[2,1,7,4,3,5,6]
[7,6,3,2,5,1,4]=>[5,1,7,4,3,6,2]
[7,6,3,2,5,4,1]=>[2,1,7,4,3,6,5]
[7,6,3,4,1,2,5]=>[6,1,7,4,5,2,3]
[7,6,3,4,1,5,2]=>[3,1,7,4,5,2,6]
[7,6,3,4,2,1,5]=>[6,1,7,4,5,3,2]
[7,6,3,4,2,5,1]=>[2,1,7,4,5,3,6]
[7,6,3,4,5,1,2]=>[3,1,7,4,5,6,2]
[7,6,3,4,5,2,1]=>[2,1,7,4,5,6,3]
[7,6,3,5,1,2,4]=>[5,1,7,4,6,2,3]
[7,6,3,5,1,4,2]=>[3,1,7,4,6,2,5]
[7,6,3,5,2,1,4]=>[5,1,7,4,6,3,2]
[7,6,3,5,2,4,1]=>[2,1,7,4,6,3,5]
[7,6,3,5,4,1,2]=>[3,1,7,4,6,5,2]
[7,6,3,5,4,2,1]=>[2,1,7,4,6,5,3]
[7,6,4,1,2,3,5]=>[6,1,7,5,2,3,4]
[7,6,4,1,2,5,3]=>[4,1,7,5,2,3,6]
[7,6,4,1,3,2,5]=>[6,1,7,5,2,4,3]
[7,6,4,1,3,5,2]=>[3,1,7,5,2,4,6]
[7,6,4,1,5,2,3]=>[4,1,7,5,2,6,3]
[7,6,4,1,5,3,2]=>[3,1,7,5,2,6,4]
[7,6,4,2,1,3,5]=>[6,1,7,5,3,2,4]
[7,6,4,2,1,5,3]=>[4,1,7,5,3,2,6]
[7,6,4,2,3,1,5]=>[6,1,7,5,3,4,2]
[7,6,4,2,3,5,1]=>[2,1,7,5,3,4,6]
[7,6,4,2,5,1,3]=>[4,1,7,5,3,6,2]
[7,6,4,2,5,3,1]=>[2,1,7,5,3,6,4]
[7,6,4,3,1,2,5]=>[6,1,7,5,4,2,3]
[7,6,4,3,1,5,2]=>[3,1,7,5,4,2,6]
[7,6,4,3,2,1,5]=>[6,1,7,5,4,3,2]
[7,6,4,3,2,5,1]=>[2,1,7,5,4,3,6]
[7,6,4,3,5,1,2]=>[3,1,7,5,4,6,2]
[7,6,4,3,5,2,1]=>[2,1,7,5,4,6,3]
[7,6,4,5,1,2,3]=>[4,1,7,5,6,2,3]
[7,6,4,5,1,3,2]=>[3,1,7,5,6,2,4]
[7,6,4,5,2,1,3]=>[4,1,7,5,6,3,2]
[7,6,4,5,2,3,1]=>[2,1,7,5,6,3,4]
[7,6,4,5,3,1,2]=>[3,1,7,5,6,4,2]
[7,6,4,5,3,2,1]=>[2,1,7,5,6,4,3]
[7,6,5,1,2,3,4]=>[5,1,7,6,2,3,4]
[7,6,5,1,2,4,3]=>[4,1,7,6,2,3,5]
[7,6,5,1,3,2,4]=>[5,1,7,6,2,4,3]
[7,6,5,1,3,4,2]=>[3,1,7,6,2,4,5]
[7,6,5,1,4,2,3]=>[4,1,7,6,2,5,3]
[7,6,5,1,4,3,2]=>[3,1,7,6,2,5,4]
[7,6,5,2,1,3,4]=>[5,1,7,6,3,2,4]
[7,6,5,2,1,4,3]=>[4,1,7,6,3,2,5]
[7,6,5,2,3,1,4]=>[5,1,7,6,3,4,2]
[7,6,5,2,3,4,1]=>[2,1,7,6,3,4,5]
[7,6,5,2,4,1,3]=>[4,1,7,6,3,5,2]
[7,6,5,2,4,3,1]=>[2,1,7,6,3,5,4]
[7,6,5,3,1,2,4]=>[5,1,7,6,4,2,3]
[7,6,5,3,1,4,2]=>[3,1,7,6,4,2,5]
[7,6,5,3,2,1,4]=>[5,1,7,6,4,3,2]
[7,6,5,3,2,4,1]=>[2,1,7,6,4,3,5]
[7,6,5,3,4,1,2]=>[3,1,7,6,4,5,2]
[7,6,5,3,4,2,1]=>[2,1,7,6,4,5,3]
[7,6,5,4,1,2,3]=>[4,1,7,6,5,2,3]
[7,6,5,4,1,3,2]=>[3,1,7,6,5,2,4]
[7,6,5,4,2,1,3]=>[4,1,7,6,5,3,2]
[7,6,5,4,2,3,1]=>[2,1,7,6,5,3,4]
[7,6,5,4,3,1,2]=>[3,1,7,6,5,4,2]
[7,6,5,4,3,2,1]=>[2,1,7,6,5,4,3]
          

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

Description

Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $c^{-1}\pi c$ where $c = (1,\ldots,n)$ is the long cycle.
Given the cycle notation of a permutation, this operation adds 1 (mod n) to each element in the cycles.
In [1], the authors prove an occurrence of the cyclic sieving phenomenon for this map.

References

[1] Sagan, B., Shareshian, J., Wachs, M. L. Eulerian quasisymmetric functions and cyclic sieving MathSciNet:2794036 DOI:10.1016/j.aam.2010.01.013

Properties

bijective, graded

Sage code

def mapping(pi):
    if not pi:
        return pi
    n = len(pi)
    long_cycle = Permutation(list(range(2, n+1)) + [1])
    return long_cycle.inverse()*pi*long_cycle

Weight

Created

Nov 30, 2022 at 19:47 by Nadia Lafreniere

Updated

Mar 02, 2023 at 11:33 by Martin Rubey